Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), degree \(16\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 205.64 | ||
Character | \(\chi\) | \(=\) | 576.205 |
Dual form | 576.2.bm.a.517.64 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(e\left(\frac{15}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.678171 | + | 1.24100i | 0.479539 | + | 0.877520i | ||||
\(3\) | −1.70565 | − | 0.301270i | −0.984757 | − | 0.173938i | ||||
\(4\) | −1.08017 | + | 1.68322i | −0.540084 | + | 0.841611i | ||||
\(5\) | −0.000967777 | − | 0.00110354i | −0.000432803 | − | 0.000493517i | 0.751623 | − | 0.659593i | \(-0.229271\pi\) |
−0.752056 | + | 0.659099i | \(0.770938\pi\) | |||||||
\(6\) | −0.782846 | − | 2.32102i | −0.319595 | − | 0.947554i | ||||
\(7\) | −1.80792 | − | 0.238017i | −0.683329 | − | 0.0899619i | −0.219134 | − | 0.975695i | \(-0.570323\pi\) |
−0.464195 | + | 0.885733i | \(0.653656\pi\) | |||||||
\(8\) | −2.82142 | − | 0.198976i | −0.997522 | − | 0.0703487i | ||||
\(9\) | 2.81847 | + | 1.02772i | 0.939491 | + | 0.342574i | ||||
\(10\) | 0.000713174 | − | 0.00194940i | 0.000225525 | − | 0.000616454i | ||||
\(11\) | 0.208019 | + | 0.421821i | 0.0627201 | + | 0.127184i | 0.925975 | − | 0.377584i | \(-0.123245\pi\) |
−0.863255 | + | 0.504767i | \(0.831578\pi\) | |||||||
\(12\) | 2.34949 | − | 2.54556i | 0.678239 | − | 0.734841i | ||||
\(13\) | −1.52957 | − | 4.50597i | −0.424226 | − | 1.24973i | −0.923605 | − | 0.383346i | \(-0.874772\pi\) |
0.499378 | − | 0.866384i | \(-0.333562\pi\) | |||||||
\(14\) | −0.930699 | − | 2.40504i | −0.248740 | − | 0.642775i | ||||
\(15\) | 0.00131822 | + | 0.00217381i | 0.000340364 | + | 0.000561275i | ||||
\(16\) | −1.66648 | − | 3.63632i | −0.416619 | − | 0.909081i | ||||
\(17\) | −4.32364 | − | 4.32364i | −1.04864 | − | 1.04864i | −0.998755 | − | 0.0498810i | \(-0.984116\pi\) |
−0.0498810 | − | 0.998755i | \(-0.515884\pi\) | |||||||
\(18\) | 0.636005 | + | 4.19470i | 0.149908 | + | 0.988700i | ||||
\(19\) | −1.25108 | + | 6.28962i | −0.287018 | + | 1.44294i | 0.520888 | + | 0.853625i | \(0.325601\pi\) |
−0.807906 | + | 0.589312i | \(0.799399\pi\) | |||||||
\(20\) | 0.00290286 | 0.000436978i | 0.000649100 | 9.77112e-5i | ||||||
\(21\) | 3.01196 | + | 0.950644i | 0.657265 | + | 0.207448i | ||||
\(22\) | −0.382407 | + | 0.544218i | −0.0815296 | + | 0.116028i | ||||
\(23\) | −0.497235 | − | 3.77688i | −0.103681 | − | 0.787533i | −0.961736 | − | 0.273976i | \(-0.911661\pi\) |
0.858056 | − | 0.513557i | \(-0.171672\pi\) | |||||||
\(24\) | 4.75240 | + | 1.18939i | 0.970080 | + | 0.242784i | ||||
\(25\) | 0.652631 | − | 4.95722i | 0.130526 | − | 0.991444i | ||||
\(26\) | 4.55460 | − | 4.95402i | 0.893231 | − | 0.971562i | ||||
\(27\) | −4.49770 | − | 2.60205i | −0.865583 | − | 0.500765i | ||||
\(28\) | 2.35349 | − | 2.78603i | 0.444768 | − | 0.526510i | ||||
\(29\) | 8.13897 | − | 0.533456i | 1.51137 | − | 0.0990603i | 0.712972 | − | 0.701192i | \(-0.247349\pi\) |
0.798397 | + | 0.602132i | \(0.205682\pi\) | |||||||
\(30\) | −0.00180372 | + | 0.00311013i | −0.000329312 | + | 0.000567830i | ||||
\(31\) | 3.92540 | − | 2.26633i | 0.705022 | − | 0.407045i | −0.104193 | − | 0.994557i | \(-0.533226\pi\) |
0.809215 | + | 0.587512i | \(0.199893\pi\) | |||||||
\(32\) | 3.38253 | − | 4.53415i | 0.597952 | − | 0.801532i | ||||
\(33\) | −0.227725 | − | 0.782148i | −0.0396419 | − | 0.136154i | ||||
\(34\) | 2.43347 | − | 8.29781i | 0.417337 | − | 1.42306i | ||||
\(35\) | 0.00148700 | + | 0.00222545i | 0.000251349 | + | 0.000376170i | ||||
\(36\) | −4.77431 | + | 3.63401i | −0.795718 | + | 0.605668i | ||||
\(37\) | −0.838744 | − | 4.21665i | −0.137889 | − | 0.693213i | −0.986443 | − | 0.164105i | \(-0.947527\pi\) |
0.848554 | − | 0.529108i | \(-0.177473\pi\) | |||||||
\(38\) | −8.65387 | + | 2.71284i | −1.40384 | + | 0.440081i | ||||
\(39\) | 1.25140 | + | 8.14641i | 0.200384 | + | 1.30447i | ||||
\(40\) | 0.00251093 | + | 0.00330611i | 0.000397012 | + | 0.000522742i | ||||
\(41\) | −0.920925 | − | 6.99512i | −0.143824 | − | 1.09245i | −0.899317 | − | 0.437297i | \(-0.855936\pi\) |
0.755493 | − | 0.655157i | \(-0.227397\pi\) | |||||||
\(42\) | 0.862877 | + | 4.38255i | 0.133145 | + | 0.676242i | ||||
\(43\) | −7.91942 | + | 3.90542i | −1.20770 | + | 0.595572i | −0.930871 | − | 0.365348i | \(-0.880950\pi\) |
−0.276829 | + | 0.960919i | \(0.589283\pi\) | |||||||
\(44\) | −0.934713 | − | 0.105495i | −0.140913 | − | 0.0159039i | ||||
\(45\) | −0.00159352 | − | 0.00410490i | −0.000237549 | − | 0.000611922i | ||||
\(46\) | 4.34990 | − | 3.17844i | 0.641357 | − | 0.468635i | ||||
\(47\) | −6.62143 | + | 1.77421i | −0.965835 | + | 0.258795i | −0.707068 | − | 0.707145i | \(-0.749983\pi\) |
−0.258767 | + | 0.965940i | \(0.583316\pi\) | |||||||
\(48\) | 1.74691 | + | 6.70435i | 0.252144 | + | 0.967690i | ||||
\(49\) | −3.54957 | − | 0.951104i | −0.507081 | − | 0.135872i | ||||
\(50\) | 6.59451 | − | 2.55193i | 0.932605 | − | 0.360897i | ||||
\(51\) | 6.07202 | + | 8.67719i | 0.850253 | + | 1.21505i | ||||
\(52\) | 9.23674 | + | 2.29259i | 1.28091 | + | 0.317926i | ||||
\(53\) | −4.66506 | + | 6.98175i | −0.640795 | + | 0.959018i | 0.358876 | + | 0.933385i | \(0.383160\pi\) |
−0.999671 | + | 0.0256324i | \(0.991840\pi\) | |||||||
\(54\) | 0.178936 | − | 7.34629i | 0.0243500 | − | 0.999703i | ||||
\(55\) | 0.000264179 | 0 | 0.000637785i | 3.56219e−5 | 0 | 8.59989e-5i | ||||
\(56\) | 5.05353 | + | 1.03128i | 0.675307 | + | 0.137810i | ||||
\(57\) | 4.02878 | − | 10.3510i | 0.533625 | − | 1.37102i | ||||
\(58\) | 6.18163 | + | 9.73870i | 0.811688 | + | 1.27875i | ||||
\(59\) | −6.01076 | − | 6.85395i | −0.782534 | − | 0.892309i | 0.213885 | − | 0.976859i | \(-0.431388\pi\) |
−0.996419 | + | 0.0845499i | \(0.973055\pi\) | |||||||
\(60\) | −0.00508291 | 0.000129214i | −0.000656201 | 1.66814e-5i | ||||||
\(61\) | 0.683159 | + | 10.4230i | 0.0874695 | + | 1.33453i | 0.785679 | + | 0.618634i | \(0.212314\pi\) |
−0.698210 | + | 0.715893i | \(0.746020\pi\) | |||||||
\(62\) | 5.47461 | + | 3.33446i | 0.695276 | + | 0.423477i | ||||
\(63\) | −4.85095 | − | 2.52888i | −0.611163 | − | 0.318609i | ||||
\(64\) | 7.92082 | + | 1.12279i | 0.990102 | + | 0.140349i | ||||
\(65\) | −0.00349222 | + | 0.00604871i | −0.000433157 | + | 0.000750250i | ||||
\(66\) | 0.816209 | − | 0.813037i | 0.100468 | − | 0.100078i | ||||
\(67\) | 5.08257 | + | 2.50645i | 0.620935 | + | 0.306211i | 0.725411 | − | 0.688316i | \(-0.241650\pi\) |
−0.104476 | + | 0.994527i | \(0.533317\pi\) | |||||||
\(68\) | 11.9479 | − | 2.60739i | 1.44890 | − | 0.316193i | ||||
\(69\) | −0.289750 | + | 6.59182i | −0.0348818 | + | 0.793562i | ||||
\(70\) | −0.00175335 | + | 0.00335461i | −0.000209565 | + | 0.000400952i | ||||
\(71\) | −2.87271 | − | 6.93533i | −0.340928 | − | 0.823072i | −0.997622 | − | 0.0689156i | \(-0.978046\pi\) |
0.656695 | − | 0.754156i | \(-0.271954\pi\) | |||||||
\(72\) | −7.74760 | − | 3.46044i | −0.913064 | − | 0.407817i | ||||
\(73\) | −4.91883 | + | 11.8751i | −0.575706 | + | 1.38988i | 0.320928 | + | 0.947104i | \(0.396005\pi\) |
−0.896634 | + | 0.442773i | \(0.853995\pi\) | |||||||
\(74\) | 4.66405 | − | 3.90049i | 0.542185 | − | 0.453423i | ||||
\(75\) | −2.60662 | + | 8.25866i | −0.300987 | + | 0.953628i | ||||
\(76\) | −9.23544 | − | 8.89969i | −1.05938 | − | 1.02086i | ||||
\(77\) | −0.275681 | − | 0.812129i | −0.0314167 | − | 0.0925507i | ||||
\(78\) | −9.26104 | + | 7.07765i | −1.04861 | + | 0.801386i | ||||
\(79\) | −0.125919 | − | 0.469935i | −0.0141670 | − | 0.0528718i | 0.958481 | − | 0.285158i | \(-0.0920461\pi\) |
−0.972647 | + | 0.232286i | \(0.925379\pi\) | |||||||
\(80\) | −0.00240005 | + | 0.00535817i | −0.000268333 | + | 0.000599062i | ||||
\(81\) | 6.88758 | + | 5.79321i | 0.765287 | + | 0.643690i | ||||
\(82\) | 8.05640 | − | 5.88676i | 0.889681 | − | 0.650083i | ||||
\(83\) | −10.2560 | − | 8.99430i | −1.12575 | − | 0.987253i | −0.125757 | − | 0.992061i | \(-0.540136\pi\) |
−0.999988 | + | 0.00480845i | \(0.998469\pi\) | |||||||
\(84\) | −4.85357 | + | 4.04295i | −0.529568 | + | 0.441122i | ||||
\(85\) | −0.000586982 | 0.00895562i | −6.36671e−5 | 0.000971373i | ||||||
\(86\) | −10.2174 | − | 7.17946i | −1.10177 | − | 0.774181i | ||||
\(87\) | −14.0429 | − | 1.54214i | −1.50556 | − | 0.165334i | ||||
\(88\) | −0.502977 | − | 1.23152i | −0.0536175 | − | 0.131281i | ||||
\(89\) | 3.50955 | − | 1.45370i | 0.372012 | − | 0.154092i | −0.188842 | − | 0.982008i | \(-0.560473\pi\) |
0.560853 | + | 0.827915i | \(0.310473\pi\) | |||||||
\(90\) | 0.00401350 | − | 0.00476139i | 0.000423060 | − | 0.000501894i | ||||
\(91\) | 1.69284 | + | 8.51048i | 0.177458 | + | 0.892141i | ||||
\(92\) | 6.89442 | + | 3.24270i | 0.718793 | + | 0.338075i | ||||
\(93\) | −7.37812 | + | 2.68296i | −0.765076 | + | 0.278210i | ||||
\(94\) | −6.69226 | − | 7.01399i | −0.690254 | − | 0.723438i | ||||
\(95\) | 0.00815160 | − | 0.00470633i | 0.000836337 | − | 0.000482859i | ||||
\(96\) | −7.13540 | + | 6.71461i | −0.728254 | + | 0.685307i | ||||
\(97\) | 1.67479 | + | 0.966939i | 0.170049 | + | 0.0981778i | 0.582609 | − | 0.812753i | \(-0.302032\pi\) |
−0.412560 | + | 0.910930i | \(0.635365\pi\) | |||||||
\(98\) | −1.22689 | − | 5.05003i | −0.123935 | − | 0.510130i | ||||
\(99\) | 0.152782 | + | 1.40268i | 0.0153552 | + | 0.140974i | ||||
\(100\) | 7.63916 | + | 6.45315i | 0.763916 | + | 0.645315i | ||||
\(101\) | −13.6000 | − | 4.61657i | −1.35325 | − | 0.459366i | −0.451748 | − | 0.892146i | \(-0.649199\pi\) |
−0.901500 | + | 0.432780i | \(0.857533\pi\) | |||||||
\(102\) | −6.65053 | + | 13.4200i | −0.658500 | + | 1.32878i | ||||
\(103\) | 7.39520 | + | 5.67454i | 0.728671 | + | 0.559129i | 0.905107 | − | 0.425183i | \(-0.139790\pi\) |
−0.176437 | + | 0.984312i | \(0.556457\pi\) | |||||||
\(104\) | 3.41898 | + | 13.0176i | 0.335258 | + | 1.27648i | ||||
\(105\) | −0.00186584 | − | 0.00424383i | −0.000182087 | − | 0.000414155i | ||||
\(106\) | −11.8281 | − | 1.05452i | −1.14884 | − | 0.102424i | ||||
\(107\) | 0.960741 | + | 0.641947i | 0.0928783 | + | 0.0620593i | 0.601142 | − | 0.799142i | \(-0.294713\pi\) |
−0.508264 | + | 0.861201i | \(0.669713\pi\) | |||||||
\(108\) | 9.23810 | − | 4.75998i | 0.888937 | − | 0.458030i | ||||
\(109\) | −3.21336 | + | 16.1546i | −0.307784 | + | 1.54733i | 0.448918 | + | 0.893573i | \(0.351809\pi\) |
−0.756702 | + | 0.653760i | \(0.773191\pi\) | |||||||
\(110\) | 0.000970651 | 0 | 0.000104681i | 9.25479e−5 | 0 | 9.98092e-6i | ||||
\(111\) | 0.160253 | + | 7.44481i | 0.0152105 | + | 0.706630i | ||||
\(112\) | 2.14734 | + | 6.97083i | 0.202905 | + | 0.658681i | ||||
\(113\) | 4.37002 | + | 1.17094i | 0.411097 | + | 0.110153i | 0.458440 | − | 0.888726i | \(-0.348409\pi\) |
−0.0473424 | + | 0.998879i | \(0.515075\pi\) | |||||||
\(114\) | 15.5778 | − | 2.02001i | 1.45899 | − | 0.189191i | ||||
\(115\) | −0.00368671 | + | 0.00420389i | −0.000343788 | + | 0.000392015i | ||||
\(116\) | −7.89353 | + | 14.2759i | −0.732895 | + | 1.32549i | ||||
\(117\) | 0.319825 | − | 14.2719i | 0.0295678 | − | 1.31944i | ||||
\(118\) | 4.42944 | − | 12.1075i | 0.407763 | − | 1.11459i | ||||
\(119\) | 6.78768 | + | 8.84588i | 0.622226 | + | 0.810900i | ||||
\(120\) | −0.00328673 | − | 0.00639553i | −0.000300036 | − | 0.000583829i | ||||
\(121\) | 6.56171 | − | 8.55139i | 0.596520 | − | 0.777399i | ||||
\(122\) | −12.4716 | + | 7.91637i | −1.12913 | + | 0.716715i | ||||
\(123\) | −0.536644 | + | 12.2087i | −0.0483876 | + | 1.10082i | ||||
\(124\) | −0.425350 | + | 9.05533i | −0.0381976 | + | 0.813193i | ||||
\(125\) | −0.0122042 | + | 0.00815457i | −0.00109157 | + | 0.000729367i | ||||
\(126\) | −0.151435 | − | 7.73505i | −0.0134909 | − | 0.689093i | ||||
\(127\) | 7.38150 | 0.655002 | 0.327501 | − | 0.944851i | \(-0.393793\pi\) | ||||
0.327501 | + | 0.944851i | \(0.393793\pi\) | |||||||
\(128\) | 3.97829 | + | 10.5912i | 0.351634 | + | 0.936137i | ||||
\(129\) | 14.6843 | − | 4.27540i | 1.29288 | − | 0.376428i | ||||
\(130\) | −0.00987478 | 0.000231793i | −0.000866076 | 2.03296e-5i | ||||||
\(131\) | −12.5531 | − | 6.19048i | −1.09677 | − | 0.540865i | −0.198404 | − | 0.980120i | \(-0.563576\pi\) |
−0.898362 | + | 0.439255i | \(0.855242\pi\) | |||||||
\(132\) | 1.56251 | + | 0.461538i | 0.135999 | + | 0.0401717i | ||||
\(133\) | 3.75889 | − | 11.0733i | 0.325937 | − | 0.960179i | ||||
\(134\) | 0.336350 | + | 8.00727i | 0.0290562 | + | 0.691723i | ||||
\(135\) | 0.00148131 | + | 0.00748159i | 0.000127491 | + | 0.000643913i | ||||
\(136\) | 11.3385 | + | 13.0591i | 0.972268 | + | 1.11981i | ||||
\(137\) | −8.10649 | − | 10.5646i | −0.692584 | − | 0.902593i | 0.306196 | − | 0.951968i | \(-0.400944\pi\) |
−0.998780 | + | 0.0493751i | \(0.984277\pi\) | |||||||
\(138\) | −8.37696 | + | 4.11081i | −0.713094 | + | 0.349935i | ||||
\(139\) | −10.1161 | − | 0.663043i | −0.858035 | − | 0.0562386i | −0.369968 | − | 0.929045i | \(-0.620631\pi\) |
−0.488067 | + | 0.872806i | \(0.662298\pi\) | |||||||
\(140\) | −0.00535214 | 9.90900e-5i | −0.000452339 | 8.37463e-6i | ||||||
\(141\) | 11.8284 | − | 1.03134i | 0.996127 | − | 0.0868542i | ||||
\(142\) | 6.65856 | − | 8.26837i | 0.558774 | − | 0.693866i | ||||
\(143\) | 1.58253 | − | 1.58253i | 0.132338 | − | 0.132338i | ||||
\(144\) | −0.959792 | − | 11.9616i | −0.0799826 | − | 0.996796i | ||||
\(145\) | −0.00846540 | − | 0.00846540i | −0.000703013 | − | 0.000703013i | ||||
\(146\) | −18.0728 | + | 1.94908i | −1.49572 | + | 0.161307i | ||||
\(147\) | 5.76777 | + | 2.69163i | 0.475718 | + | 0.222002i | ||||
\(148\) | 8.00354 | + | 3.14290i | 0.657887 | + | 0.258344i | ||||
\(149\) | −0.184936 | + | 2.82157i | −0.0151505 | + | 0.231152i | 0.983568 | + | 0.180539i | \(0.0577842\pi\) |
−0.998718 | + | 0.0506132i | \(0.983882\pi\) | |||||||
\(150\) | −12.0167 | + | 2.36597i | −0.981163 | + | 0.193180i | ||||
\(151\) | −6.28138 | + | 4.81987i | −0.511171 | + | 0.392235i | −0.831891 | − | 0.554939i | \(-0.812742\pi\) |
0.320720 | + | 0.947174i | \(0.396075\pi\) | |||||||
\(152\) | 4.78131 | − | 17.4967i | 0.387816 | − | 1.41917i | ||||
\(153\) | −7.74256 | − | 16.6295i | −0.625949 | − | 1.34442i | ||||
\(154\) | 0.820894 | − | 0.892883i | 0.0661496 | − | 0.0719505i | ||||
\(155\) | −0.00629989 | − | 0.00213852i | −0.000506019 | − | 0.000171770i | ||||
\(156\) | −15.0639 | − | 6.69311i | −1.20608 | − | 0.535878i | ||||
\(157\) | −2.18376 | + | 4.42824i | −0.174283 | + | 0.353412i | −0.966434 | − | 0.256913i | \(-0.917294\pi\) |
0.792151 | + | 0.610325i | \(0.208961\pi\) | |||||||
\(158\) | 0.497795 | − | 0.474961i | 0.0396025 | − | 0.0377859i | ||||
\(159\) | 10.0603 | − | 10.5030i | 0.797837 | − | 0.832940i | ||||
\(160\) | −0.00827714 | 0.000655298i | −0.000654365 | 5.18058e-5i | ||||||
\(161\) | 6.94663i | 0.547471i | ||||||||
\(162\) | −2.51842 | + | 12.4763i | −0.197865 | + | 0.980229i | ||||
\(163\) | −0.424608 | − | 0.635471i | −0.0332579 | − | 0.0497739i | 0.814468 | − | 0.580208i | \(-0.197029\pi\) |
−0.847726 | + | 0.530434i | \(0.822029\pi\) | |||||||
\(164\) | 12.7691 | + | 6.00578i | 0.997099 | + | 0.468972i | ||||
\(165\) | −0.000642742 | 0.00100825i | −5.00374e−5 | 7.84920e-5i | ||||||
\(166\) | 4.20659 | − | 18.8274i | 0.326495 | − | 1.46129i | ||||
\(167\) | −10.2668 | − | 7.87798i | −0.794468 | − | 0.609617i | 0.129722 | − | 0.991550i | \(-0.458592\pi\) |
−0.924190 | + | 0.381934i | \(0.875258\pi\) | |||||||
\(168\) | −8.30886 | − | 3.28147i | −0.641042 | − | 0.253171i | ||||
\(169\) | −7.65057 | + | 5.87049i | −0.588505 | + | 0.451576i | ||||
\(170\) | −0.0115120 | + | 0.00534500i | −0.000882930 | + | 0.000409942i | ||||
\(171\) | −9.99011 | + | 16.4413i | −0.763963 | + | 1.25730i | ||||
\(172\) | 1.98060 | − | 17.5487i | 0.151019 | − | 1.33807i | ||||
\(173\) | 10.1433 | + | 8.89544i | 0.771181 | + | 0.676308i | 0.951620 | − | 0.307279i | \(-0.0994184\pi\) |
−0.180439 | + | 0.983586i | \(0.557752\pi\) | |||||||
\(174\) | −7.60972 | − | 18.4731i | −0.576891 | − | 1.40044i | ||||
\(175\) | −2.35981 | + | 8.80691i | −0.178384 | + | 0.665740i | ||||
\(176\) | 1.18722 | − | 1.45938i | 0.0894900 | − | 0.110005i | ||||
\(177\) | 8.18735 | + | 13.5013i | 0.615399 | + | 1.01482i | ||||
\(178\) | 4.18412 | + | 3.36950i | 0.313613 | + | 0.252554i | ||||
\(179\) | 22.3022 | + | 4.43619i | 1.66695 | + | 0.331577i | 0.936306 | − | 0.351185i | \(-0.114221\pi\) |
0.730642 | + | 0.682761i | \(0.239221\pi\) | |||||||
\(180\) | 0.00863073 | + | 0.00175172i | 0.000643296 | + | 0.000130566i | ||||
\(181\) | 3.25196 | − | 4.86690i | 0.241716 | − | 0.361753i | −0.690699 | − | 0.723142i | \(-0.742697\pi\) |
0.932415 | + | 0.361389i | \(0.117697\pi\) | |||||||
\(182\) | −9.41348 | + | 7.87238i | −0.697774 | + | 0.583540i | ||||
\(183\) | 1.97490 | − | 17.9838i | 0.145989 | − | 1.32940i | ||||
\(184\) | 0.651401 | + | 10.7551i | 0.0480219 | + | 0.792876i | ||||
\(185\) | −0.00384152 | + | 0.00500636i | −0.000282434 | + | 0.000368075i | ||||
\(186\) | −8.33318 | − | 7.33675i | −0.611018 | − | 0.537957i | ||||
\(187\) | 0.924401 | − | 2.72320i | 0.0675989 | − | 0.199140i | ||||
\(188\) | 4.16587 | − | 13.0618i | 0.303827 | − | 0.952629i | ||||
\(189\) | 7.51214 | + | 5.77482i | 0.546428 | + | 0.420057i | ||||
\(190\) | 0.0113687 | + | 0.00692445i | 0.000824775 | + | 0.000502352i | ||||
\(191\) | 7.39107 | − | 12.8017i | 0.534799 | − | 0.926299i | −0.464374 | − | 0.885639i | \(-0.653721\pi\) |
0.999173 | − | 0.0406601i | \(-0.0129461\pi\) | |||||||
\(192\) | −13.1719 | − | 4.30139i | −0.950598 | − | 0.310426i | ||||
\(193\) | −11.7019 | − | 20.2682i | −0.842319 | − | 1.45894i | −0.887929 | − | 0.459981i | \(-0.847856\pi\) |
0.0456095 | − | 0.998959i | \(-0.485477\pi\) | |||||||
\(194\) | −0.0641797 | + | 2.73416i | −0.00460783 | + | 0.196301i | ||||
\(195\) | 0.00777880 | − | 0.00926487i | 0.000557052 | − | 0.000663471i | ||||
\(196\) | 5.43505 | − | 4.94736i | 0.388218 | − | 0.353383i | ||||
\(197\) | 16.9466 | − | 3.37088i | 1.20739 | − | 0.240165i | 0.449942 | − | 0.893058i | \(-0.351445\pi\) |
0.757451 | + | 0.652892i | \(0.226445\pi\) | |||||||
\(198\) | −1.63711 | + | 1.14086i | −0.116344 | + | 0.0810772i | ||||
\(199\) | −1.16343 | − | 2.80878i | −0.0824736 | − | 0.199109i | 0.877263 | − | 0.480010i | \(-0.159367\pi\) |
−0.959737 | + | 0.280901i | \(0.909367\pi\) | |||||||
\(200\) | −2.82771 | + | 13.8565i | −0.199950 | + | 0.979806i | ||||
\(201\) | −7.91396 | − | 5.80634i | −0.558208 | − | 0.409548i | ||||
\(202\) | −3.49394 | − | 20.0084i | −0.245833 | − | 1.40779i | ||||
\(203\) | −14.8416 | − | 0.972767i | −1.04167 | − | 0.0682749i | ||||
\(204\) | −21.1644 | + | 0.847752i | −1.48181 | + | 0.0593545i | ||||
\(205\) | −0.00682813 | + | 0.00778599i | −0.000476897 | + | 0.000543797i | ||||
\(206\) | −2.02689 | + | 13.0258i | −0.141220 | + | 0.907547i | ||||
\(207\) | 2.48013 | − | 11.1560i | 0.172381 | − | 0.775399i | ||||
\(208\) | −13.8362 | + | 13.0711i | −0.959366 | + | 0.906318i | ||||
\(209\) | −2.91334 | + | 0.780627i | −0.201520 | + | 0.0539971i | ||||
\(210\) | 0.00400124 | − | 0.00519355i | 0.000276112 | − | 0.000358389i | ||||
\(211\) | −3.58993 | + | 1.21862i | −0.247141 | + | 0.0838930i | −0.442261 | − | 0.896886i | \(-0.645824\pi\) |
0.195120 | + | 0.980779i | \(0.437490\pi\) | |||||||
\(212\) | −6.71280 | − | 15.3938i | −0.461037 | − | 1.05725i | ||||
\(213\) | 2.81042 | + | 12.6947i | 0.192567 | + | 0.869826i | ||||
\(214\) | −0.145110 | + | 1.62763i | −0.00991949 | + | 0.111263i | ||||
\(215\) | 0.0119740 | + | 0.00495980i | 0.000816621 | + | 0.000338255i | ||||
\(216\) | 12.1722 | + | 8.23641i | 0.828211 | + | 0.560417i | ||||
\(217\) | −7.63622 | + | 3.16302i | −0.518380 | + | 0.214720i | ||||
\(218\) | −22.2271 | + | 6.96783i | −1.50541 | + | 0.471921i | ||||
\(219\) | 11.9674 | − | 18.7729i | 0.808683 | − | 1.26855i | ||||
\(220\) | 0.000788177 | 0.00113359i | 5.31389e−5 | 7.64264e-5i | ||||||
\(221\) | −12.8689 | + | 26.0955i | −0.865654 | + | 1.75537i | ||||
\(222\) | −9.13034 | + | 5.24773i | −0.612788 | + | 0.352204i | ||||
\(223\) | 22.8371 | + | 13.1850i | 1.52928 | + | 0.882932i | 0.999392 | + | 0.0348656i | \(0.0111003\pi\) |
0.529890 | + | 0.848066i | \(0.322233\pi\) | |||||||
\(224\) | −7.19453 | + | 7.39227i | −0.480705 | + | 0.493917i | ||||
\(225\) | 6.93406 | − | 13.3011i | 0.462271 | − | 0.886738i | ||||
\(226\) | 1.51048 | + | 6.21731i | 0.100476 | + | 0.413569i | ||||
\(227\) | 19.5237 | − | 1.27965i | 1.29583 | − | 0.0849335i | 0.598176 | − | 0.801365i | \(-0.295892\pi\) |
0.697658 | + | 0.716431i | \(0.254226\pi\) | |||||||
\(228\) | 13.0712 | + | 17.9621i | 0.865662 | + | 1.18957i | ||||
\(229\) | 13.8516 | − | 12.1475i | 0.915336 | − | 0.802728i | −0.0654415 | − | 0.997856i | \(-0.520846\pi\) |
0.980778 | + | 0.195128i | \(0.0625122\pi\) | |||||||
\(230\) | −0.00771726 | − | 0.00172426i | −0.000508861 | − | 0.000113694i | ||||
\(231\) | 0.225544 | + | 1.46826i | 0.0148397 | + | 0.0966045i | ||||
\(232\) | −23.0696 | − | 0.114356i | −1.51459 | − | 0.00750787i | ||||
\(233\) | −2.62420 | − | 1.08698i | −0.171917 | − | 0.0712104i | 0.295065 | − | 0.955477i | \(-0.404659\pi\) |
−0.466982 | + | 0.884267i | \(0.654659\pi\) | |||||||
\(234\) | 17.9284 | − | 9.28190i | 1.17201 | − | 0.606777i | ||||
\(235\) | 0.00836598 | + | 0.00558997i | 0.000545736 | + | 0.000364649i | ||||
\(236\) | 18.0294 | − | 2.71402i | 1.17361 | − | 0.176668i | ||||
\(237\) | 0.0731958 | + | 0.839479i | 0.00475458 | + | 0.0545300i | ||||
\(238\) | −6.37454 | + | 14.4225i | −0.413200 | + | 0.934875i | ||||
\(239\) | 1.47586 | − | 5.50798i | 0.0954655 | − | 0.356282i | −0.901624 | − | 0.432520i | \(-0.857624\pi\) |
0.997090 | + | 0.0762384i | \(0.0242910\pi\) | |||||||
\(240\) | 0.00570789 | − | 0.00841609i | 0.000368443 | − | 0.000543257i | ||||
\(241\) | −1.66912 | − | 6.22925i | −0.107518 | − | 0.401261i | 0.891101 | − | 0.453805i | \(-0.149934\pi\) |
−0.998619 | + | 0.0525437i | \(0.983267\pi\) | |||||||
\(242\) | 15.0623 | + | 2.34379i | 0.968238 | + | 0.150664i | ||||
\(243\) | −10.0025 | − | 11.9562i | −0.641659 | − | 0.766990i | ||||
\(244\) | −18.2821 | − | 10.1087i | −1.17039 | − | 0.647141i | ||||
\(245\) | 0.00238561 | + | 0.00483754i | 0.000152411 | + | 0.000309059i | ||||
\(246\) | −15.5149 | + | 7.61358i | −0.989194 | + | 0.485424i | ||||
\(247\) | 30.2544 | − | 3.98307i | 1.92504 | − | 0.253437i | ||||
\(248\) | −11.5261 | + | 5.61320i | −0.731910 | + | 0.356439i | ||||
\(249\) | 14.7835 | + | 18.4309i | 0.936865 | + | 1.16801i | ||||
\(250\) | −0.0183963 | − | 0.00961520i | −0.00116349 | − | 0.000608119i | ||||
\(251\) | −10.0954 | + | 2.00810i | −0.637217 | + | 0.126750i | −0.503118 | − | 0.864218i | \(-0.667814\pi\) |
−0.134099 | + | 0.990968i | \(0.542814\pi\) | |||||||
\(252\) | 9.49651 | − | 5.43362i | 0.598224 | − | 0.342286i | ||||
\(253\) | 1.48973 | − | 0.995406i | 0.0936585 | − | 0.0625806i | ||||
\(254\) | 5.00592 | + | 9.16045i | 0.314099 | + | 0.574778i | ||||
\(255\) | 0.00369924 | − | 0.0150983i | 0.000231656 | − | 0.000945492i | ||||
\(256\) | −10.4457 | + | 12.1197i | −0.652857 | + | 0.757481i | ||||
\(257\) | −7.41081 | − | 12.8359i | −0.462274 | − | 0.800682i | 0.536800 | − | 0.843709i | \(-0.319633\pi\) |
−0.999074 | + | 0.0430278i | \(0.986300\pi\) | |||||||
\(258\) | 15.2643 | + | 15.3238i | 0.950311 | + | 0.954019i | ||||
\(259\) | 0.512746 | + | 7.82299i | 0.0318605 | + | 0.486097i | ||||
\(260\) | −0.00640914 | − | 0.0124118i | −0.000397478 | − | 0.000769748i | ||||
\(261\) | 23.4877 | + | 6.86106i | 1.45385 | + | 0.424689i | ||||
\(262\) | −0.830726 | − | 19.7766i | −0.0513225 | − | 1.22180i | ||||
\(263\) | −4.53217 | − | 0.596672i | −0.279466 | − | 0.0367924i | −0.0105095 | − | 0.999945i | \(-0.503345\pi\) |
−0.268956 | + | 0.963152i | \(0.586679\pi\) | |||||||
\(264\) | 0.486880 | + | 2.25208i | 0.0299654 | + | 0.138606i | ||||
\(265\) | 0.0122194 | − | 0.00160871i | 0.000750630 | − | 9.88223e-5i | ||||
\(266\) | 16.2912 | − | 2.84483i | 0.998877 | − | 0.174428i | ||||
\(267\) | −6.42402 | + | 1.42219i | −0.393143 | + | 0.0870363i | ||||
\(268\) | −9.70893 | + | 5.84771i | −0.593067 | + | 0.357206i | ||||
\(269\) | 7.39052 | + | 1.47007i | 0.450608 | + | 0.0896315i | 0.415177 | − | 0.909741i | \(-0.363720\pi\) |
0.0354309 | + | 0.999372i | \(0.488720\pi\) | |||||||
\(270\) | −0.00828008 | + | 0.00691211i | −0.000503910 | + | 0.000420658i | ||||
\(271\) | 5.32134 | − | 5.32134i | 0.323248 | − | 0.323248i | −0.526764 | − | 0.850012i | \(-0.676595\pi\) |
0.850012 | + | 0.526764i | \(0.176595\pi\) | |||||||
\(272\) | −8.51691 | + | 22.9274i | −0.516414 | + | 1.39018i | ||||
\(273\) | −0.323439 | − | 15.0259i | −0.0195754 | − | 0.909408i | ||||
\(274\) | 7.61307 | − | 17.2248i | 0.459922 | − | 1.04059i | ||||
\(275\) | 2.22682 | − | 0.755903i | 0.134282 | − | 0.0455827i | ||||
\(276\) | −10.7825 | − | 7.60799i | −0.649032 | − | 0.457947i | ||||
\(277\) | 5.08288 | − | 2.50660i | 0.305401 | − | 0.150607i | −0.283131 | − | 0.959081i | \(-0.591373\pi\) |
0.588531 | + | 0.808474i | \(0.299706\pi\) | |||||||
\(278\) | −6.03760 | − | 13.0037i | −0.362111 | − | 0.779912i | ||||
\(279\) | 13.3928 | − | 2.35337i | 0.801804 | − | 0.140893i | ||||
\(280\) | −0.00375264 | − | 0.00657482i | −0.000224263 | − | 0.000392920i | ||||
\(281\) | −0.712804 | + | 5.41428i | −0.0425223 | + | 0.322989i | 0.956943 | + | 0.290277i | \(0.0937476\pi\) |
−0.999465 | + | 0.0327116i | \(0.989586\pi\) | |||||||
\(282\) | 9.30154 | + | 13.9796i | 0.553898 | + | 0.832472i | ||||
\(283\) | 1.82949 | − | 1.60442i | 0.108752 | − | 0.0953730i | −0.603243 | − | 0.797557i | \(-0.706125\pi\) |
0.711995 | + | 0.702184i | \(0.247792\pi\) | |||||||
\(284\) | 14.7767 | + | 2.65591i | 0.876836 | + | 0.157599i | ||||
\(285\) | −0.0153216 | + | 0.00557151i | −0.000907576 | + | 0.000330028i | ||||
\(286\) | 3.03715 | + | 0.890696i | 0.179590 | + | 0.0526679i | ||||
\(287\) | 12.8658i | 0.759444i | ||||||||
\(288\) | 14.1934 | − | 9.30308i | 0.836354 | − | 0.548190i | ||||
\(289\) | 20.3877i | 1.19928i | ||||||||
\(290\) | 0.00476458 | − | 0.0162466i | 0.000279786 | − | 0.000954031i | ||||
\(291\) | −2.56529 | − | 2.15382i | −0.150380 | − | 0.126259i | ||||
\(292\) | −14.6753 | − | 21.1066i | −0.858806 | − | 1.23517i | ||||
\(293\) | 6.85285 | − | 6.00979i | 0.400348 | − | 0.351096i | −0.435373 | − | 0.900250i | \(-0.643384\pi\) |
0.835721 | + | 0.549155i | \(0.185050\pi\) | |||||||
\(294\) | 0.571228 | + | 8.98320i | 0.0333147 | + | 0.523911i | ||||
\(295\) | −0.00174653 | + | 0.0132662i | −0.000101687 | + | 0.000772388i | ||||
\(296\) | 1.52744 | + | 12.0638i | 0.0887804 | + | 0.701196i | ||||
\(297\) | 0.161992 | − | 2.43850i | 0.00939970 | − | 0.141496i | ||||
\(298\) | −3.62699 | + | 1.68400i | −0.210106 | + | 0.0975518i | ||||
\(299\) | −16.2579 | + | 8.01752i | −0.940220 | + | 0.463665i | ||||
\(300\) | −11.0856 | − | 13.3083i | −0.640026 | − | 0.768353i | ||||
\(301\) | 15.2472 | − | 5.17573i | 0.878835 | − | 0.298324i | ||||
\(302\) | −10.2413 | − | 4.52650i | −0.589321 | − | 0.260471i | ||||
\(303\) | 21.8059 | + | 11.9715i | 1.25272 | + | 0.687745i | ||||
\(304\) | 24.9560 | − | 5.93215i | 1.43132 | − | 0.340232i | ||||
\(305\) | 0.0108410 | − | 0.0108410i | 0.000620755 | − | 0.000620755i | ||||
\(306\) | 15.3865 | − | 20.8862i | 0.879588 | − | 1.19399i | ||||
\(307\) | −1.95167 | − | 0.388211i | −0.111388 | − | 0.0221564i | 0.139082 | − | 0.990281i | \(-0.455585\pi\) |
−0.250469 | + | 0.968125i | \(0.580585\pi\) | |||||||
\(308\) | 1.66478 | + | 0.413204i | 0.0948594 | + | 0.0235445i | ||||
\(309\) | −10.9040 | − | 11.9067i | −0.620309 | − | 0.677349i | ||||
\(310\) | −0.00161849 | − | 0.00926845i | −9.19242e−5 | − | 0.000526413i | ||||
\(311\) | −0.509199 | + | 0.0670373i | −0.0288740 | + | 0.00380134i | −0.144949 | − | 0.989439i | \(-0.546302\pi\) |
0.116075 | + | 0.993240i | \(0.462969\pi\) | |||||||
\(312\) | −1.90977 | − | 23.2334i | −0.108120 | − | 1.31533i | ||||
\(313\) | −7.89857 | − | 1.03987i | −0.446454 | − | 0.0587767i | −0.0960520 | − | 0.995376i | \(-0.530622\pi\) |
−0.350401 | + | 0.936600i | \(0.613955\pi\) | |||||||
\(314\) | −6.97641 | + | 0.293048i | −0.393702 | + | 0.0165377i | ||||
\(315\) | 0.00190393 | + | 0.00780060i | 0.000107274 | + | 0.000439514i | ||||
\(316\) | 0.927018 | + | 0.295659i | 0.0521488 | + | 0.0166321i | ||||
\(317\) | 1.31376 | + | 20.0442i | 0.0737884 | + | 1.12579i | 0.860830 | + | 0.508893i | \(0.169945\pi\) |
−0.787041 | + | 0.616900i | \(0.788388\pi\) | |||||||
\(318\) | 19.8568 | + | 5.36208i | 1.11352 | + | 0.300690i | ||||
\(319\) | 1.91808 | + | 3.32222i | 0.107392 | + | 0.186008i | ||||
\(320\) | −0.00642654 | − | 0.00982753i | −0.000359255 | − | 0.000549376i | ||||
\(321\) | −1.44529 | − | 1.38438i | −0.0806681 | − | 0.0772684i | ||||
\(322\) | −8.62078 | + | 4.71101i | −0.480417 | + | 0.262534i | ||||
\(323\) | 32.6032 | − | 21.7848i | 1.81409 | − | 1.21214i | ||||
\(324\) | −17.1910 | + | 5.33570i | −0.955055 | + | 0.296428i | ||||
\(325\) | −23.3353 | + | 4.64169i | −1.29441 | + | 0.257474i | ||||
\(326\) | 0.500663 | − | 0.957897i | 0.0277292 | − | 0.0530530i | ||||
\(327\) | 10.3478 | − | 26.5860i | 0.572232 | − | 1.47021i | ||||
\(328\) | 1.20645 | + | 19.9194i | 0.0666153 | + | 1.09987i | ||||
\(329\) | 12.3933 | − | 1.63161i | 0.683265 | − | 0.0899535i | ||||
\(330\) | −0.00168713 | 0.000113879i | −9.28733e−5 | 6.26884e-6i | ||||||
\(331\) | −10.3737 | − | 21.0359i | −0.570192 | − | 1.15624i | −0.970779 | − | 0.239976i | \(-0.922860\pi\) |
0.400587 | − | 0.916259i | \(-0.368806\pi\) | |||||||
\(332\) | 26.2176 | − | 7.54783i | 1.43888 | − | 0.414241i | ||||
\(333\) | 1.96956 | − | 12.7465i | 0.107931 | − | 0.698504i | ||||
\(334\) | 2.81395 | − | 18.0837i | 0.153972 | − | 0.989497i | ||||
\(335\) | −0.00215283 | − | 0.00803449i | −0.000117622 | − | 0.000438971i | ||||
\(336\) | −1.56252 | − | 12.5367i | −0.0852422 | − | 0.683933i | ||||
\(337\) | −7.24677 | + | 27.0453i | −0.394757 | + | 1.47325i | 0.427437 | + | 0.904045i | \(0.359416\pi\) |
−0.822194 | + | 0.569207i | \(0.807250\pi\) | |||||||
\(338\) | −12.4737 | − | 5.51317i | −0.678478 | − | 0.299877i | ||||
\(339\) | −7.10095 | − | 3.31378i | −0.385671 | − | 0.179980i | ||||
\(340\) | −0.0144403 | − | 0.0106616i | −0.000783133 | − | 0.000578206i | ||||
\(341\) | 1.77254 | + | 1.18437i | 0.0959885 | + | 0.0641374i | ||||
\(342\) | −27.1787 | − | 1.24769i | −1.46966 | − | 0.0674673i | ||||
\(343\) | 17.9839 | + | 7.44918i | 0.971041 | + | 0.402218i | ||||
\(344\) | 23.1211 | − | 9.44306i | 1.24661 | − | 0.509136i | ||||
\(345\) | 0.00755474 | − | 0.00605967i | 0.000406734 | − | 0.000326241i | ||||
\(346\) | −4.16035 | + | 18.6205i | −0.223662 | + | 1.00104i | ||||
\(347\) | −4.61835 | + | 4.05019i | −0.247926 | + | 0.217425i | −0.774285 | − | 0.632837i | \(-0.781890\pi\) |
0.526359 | + | 0.850263i | \(0.323557\pi\) | |||||||
\(348\) | 17.7645 | − | 21.9716i | 0.952276 | − | 1.17780i | ||||
\(349\) | 3.71449 | − | 0.243460i | 0.198832 | − | 0.0130321i | 0.0343383 | − | 0.999410i | \(-0.489068\pi\) |
0.164494 | + | 0.986378i | \(0.447401\pi\) | |||||||
\(350\) | −12.5297 | + | 3.04407i | −0.669743 | + | 0.162713i | ||||
\(351\) | −4.84521 | + | 24.2465i | −0.258618 | + | 1.29418i | ||||
\(352\) | 2.61623 | + | 0.483631i | 0.139445 | + | 0.0257776i | ||||
\(353\) | 1.41149 | + | 0.814926i | 0.0751262 | + | 0.0433741i | 0.537093 | − | 0.843523i | \(-0.319523\pi\) |
−0.461966 | + | 0.886897i | \(0.652856\pi\) | |||||||
\(354\) | −11.2027 | + | 19.3167i | −0.595417 | + | 1.02667i | ||||
\(355\) | −0.00487326 | + | 0.00988199i | −0.000258646 | + | 0.000524482i | ||||
\(356\) | −1.34400 | + | 7.47760i | −0.0712317 | + | 0.396312i | ||||
\(357\) | −8.91240 | − | 17.1329i | −0.471694 | − | 0.906768i | ||||
\(358\) | 9.61942 | + | 30.6856i | 0.508402 | + | 1.62178i | ||||
\(359\) | 9.93881 | − | 4.11679i | 0.524550 | − | 0.217276i | −0.104664 | − | 0.994508i | \(-0.533377\pi\) |
0.629214 | + | 0.777232i | \(0.283377\pi\) | |||||||
\(360\) | 0.00367922 | + | 0.0118987i | 0.000193912 | + | 0.000627117i | ||||
\(361\) | −20.4404 | − | 8.46667i | −1.07581 | − | 0.445614i | ||||
\(362\) | 8.24521 | + | 0.735092i | 0.433358 | + | 0.0386356i | ||||
\(363\) | −13.7683 | + | 12.6088i | −0.722646 | + | 0.661792i | ||||
\(364\) | −16.1536 | − | 6.34332i | −0.846678 | − | 0.332480i | ||||
\(365\) | 0.0178650 | − | 0.00606434i | 0.000935095 | − | 0.000317422i | ||||
\(366\) | 23.6572 | − | 9.74522i | 1.23658 | − | 0.509391i | ||||
\(367\) | −24.4424 | + | 6.54933i | −1.27589 | + | 0.341872i | −0.832283 | − | 0.554351i | \(-0.812966\pi\) |
−0.443603 | + | 0.896224i | \(0.646300\pi\) | |||||||
\(368\) | −12.9053 | + | 8.10218i | −0.672736 | + | 0.422355i | ||||
\(369\) | 4.59343 | − | 20.6620i | 0.239124 | − | 1.07562i | ||||
\(370\) | −0.00881811 | − | 0.00137216i | −0.000458431 | − | 7.13350e-5i | ||||
\(371\) | 10.0958 | − | 11.5121i | 0.524149 | − | 0.597677i | ||||
\(372\) | 3.45360 | − | 15.3171i | 0.179061 | − | 0.794153i | ||||
\(373\) | 19.2656 | + | 1.26274i | 0.997537 | + | 0.0653820i | 0.555415 | − | 0.831573i | \(-0.312559\pi\) |
0.442122 | + | 0.896955i | \(0.354226\pi\) | |||||||
\(374\) | 4.00639 | − | 0.699612i | 0.207166 | − | 0.0361761i | ||||
\(375\) | 0.0232728 | − | 0.0102321i | 0.00120180 | − | 0.000528382i | ||||
\(376\) | 19.0349 | − | 3.68828i | 0.981648 | − | 0.190208i | ||||
\(377\) | −14.8529 | − | 35.8580i | −0.764961 | − | 1.84678i | ||||
\(378\) | −2.07204 | + | 13.2389i | −0.106574 | + | 0.680935i | ||||
\(379\) | −21.6027 | + | 4.29704i | −1.10966 | + | 0.220724i | −0.715702 | − | 0.698406i | \(-0.753893\pi\) |
−0.393954 | + | 0.919130i | \(0.628893\pi\) | |||||||
\(380\) | −0.000883296 | 0.0188046i | −4.53121e−5 | 0.000964655i | ||||||
\(381\) | −12.5902 | − | 2.22382i | −0.645018 | − | 0.113930i | ||||
\(382\) | 20.8994 | + | 0.490576i | 1.06930 | + | 0.0251000i | ||||
\(383\) | 1.25099 | + | 2.16678i | 0.0639228 | + | 0.110717i | 0.896216 | − | 0.443619i | \(-0.146306\pi\) |
−0.832293 | + | 0.554336i | \(0.812972\pi\) | |||||||
\(384\) | −3.59475 | − | 19.2634i | −0.183444 | − | 0.983030i | ||||
\(385\) | −0.000629418 | 0.00109018i | −3.20781e−5 | 5.55609e-5i | ||||||
\(386\) | 17.2170 | − | 28.2674i | 0.876324 | − | 1.43877i | ||||
\(387\) | −26.3343 | + | 2.86838i | −1.33865 | + | 0.145808i | ||||
\(388\) | −3.43662 | + | 1.77458i | −0.174468 | + | 0.0900908i | ||||
\(389\) | −1.09150 | + | 3.21545i | −0.0553412 | + | 0.163030i | −0.971086 | − | 0.238731i | \(-0.923268\pi\) |
0.915744 | + | 0.401761i | \(0.131602\pi\) | |||||||
\(390\) | 0.0167731 | + | 0.00337033i | 0.000849338 | + | 0.000170663i | ||||
\(391\) | −14.1800 | + | 18.4797i | −0.717112 | + | 0.934559i | ||||
\(392\) | 9.82557 | + | 3.38974i | 0.496266 | + | 0.171208i | ||||
\(393\) | 19.5461 | + | 14.3406i | 0.985971 | + | 0.723390i | ||||
\(394\) | 15.6759 | + | 18.7447i | 0.789743 | + | 0.944343i | ||||
\(395\) | −0.000396730 | 0 | 0.000593748i | −1.99616e−5 | 0 | 2.98747e-5i | ||||
\(396\) | −2.52605 | − | 1.25796i | −0.126939 | − | 0.0632148i | ||||
\(397\) | −28.2664 | − | 5.62253i | −1.41865 | − | 0.282187i | −0.574592 | − | 0.818440i | \(-0.694839\pi\) |
−0.844057 | + | 0.536253i | \(0.819839\pi\) | |||||||
\(398\) | 2.69669 | − | 3.34866i | 0.135173 | − | 0.167853i | ||||
\(399\) | −9.74740 | + | 17.7548i | −0.487980 | + | 0.888850i | ||||
\(400\) | −19.1137 | + | 5.88791i | −0.955683 | + | 0.294396i | ||||
\(401\) | −7.51625 | + | 28.0510i | −0.375344 | + | 1.40080i | 0.477498 | + | 0.878633i | \(0.341544\pi\) |
−0.852842 | + | 0.522169i | \(0.825123\pi\) | |||||||
\(402\) | 1.83865 | − | 13.7589i | 0.0917037 | − | 0.686233i | ||||
\(403\) | −16.2162 | − | 14.2212i | −0.807785 | − | 0.708408i | ||||
\(404\) | 22.4610 | − | 17.9051i | 1.11747 | − | 0.890813i | ||||
\(405\) | −0.000272618 | − | 0.0132072i | −1.35465e−5 | − | 0.000656273i | ||||
\(406\) | −8.85791 | − | 19.0781i | −0.439611 | − | 0.946830i | ||||
\(407\) | 1.60420 | − | 1.23094i | 0.0795170 | − | 0.0610155i | ||||
\(408\) | −15.4052 | − | 25.6902i | −0.762670 | − | 1.27185i | ||||
\(409\) | −16.0898 | − | 12.3462i | −0.795591 | − | 0.610479i | 0.128910 | − | 0.991656i | \(-0.458852\pi\) |
−0.924502 | + | 0.381177i | \(0.875519\pi\) | |||||||
\(410\) | −0.0142931 | − | 0.00319348i | −0.000705884 | − | 0.000157715i | ||||
\(411\) | 10.6440 | + | 20.4617i | 0.525031 | + | 1.00930i | ||||
\(412\) | −17.5396 | + | 6.31832i | −0.864112 | + | 0.311281i | ||||
\(413\) | 9.23560 | + | 13.8220i | 0.454454 | + | 0.680138i | ||||
\(414\) | 15.5266 | − | 4.48786i | 0.763091 | − | 0.220566i | ||||
\(415\) | 0.0200224i | 0.000982861i | ||||||||
\(416\) | −25.6045 | − | 8.30626i | −1.25537 | − | 0.407248i | ||||
\(417\) | 17.0547 | + | 4.17859i | 0.835174 | + | 0.204626i | ||||
\(418\) | −2.94450 | − | 3.08606i | −0.144020 | − | 0.150944i | ||||
\(419\) | −1.33903 | + | 2.71528i | −0.0654159 | + | 0.132650i | −0.927125 | − | 0.374752i | \(-0.877728\pi\) |
0.861709 | + | 0.507403i | \(0.169394\pi\) | |||||||
\(420\) | 0.00915873 | + | 0.00144343i | 0.000446900 | + | 7.04320e-5i | ||||
\(421\) | −32.8250 | − | 11.1426i | −1.59979 | − | 0.543056i | −0.627862 | − | 0.778325i | \(-0.716070\pi\) |
−0.971930 | + | 0.235269i | \(0.924403\pi\) | |||||||
\(422\) | −3.94689 | − | 3.62868i | −0.192132 | − | 0.176641i | ||||
\(423\) | −20.4857 | − | 1.80443i | −0.996050 | − | 0.0877343i | ||||
\(424\) | 14.5513 | − | 18.7702i | 0.706673 | − | 0.911562i | ||||
\(425\) | −24.2550 | + | 18.6115i | −1.17654 | + | 0.902790i | ||||
\(426\) | −13.8482 | + | 12.0969i | −0.670946 | + | 0.586097i | ||||
\(427\) | 1.24575 | − | 19.0065i | 0.0602862 | − | 0.919790i | ||||
\(428\) | −2.11830 | + | 0.923731i | −0.102392 | + | 0.0446502i | ||||
\(429\) | −3.17601 | + | 2.22247i | −0.153339 | + | 0.107302i | ||||
\(430\) | 0.00196532 | + | 0.0182234i | 9.47759e−5 | + | 0.000878808i | ||||
\(431\) | −6.22334 | − | 6.22334i | −0.299768 | − | 0.299768i | 0.541155 | − | 0.840923i | \(-0.317987\pi\) |
−0.840923 | + | 0.541155i | \(0.817987\pi\) | |||||||
\(432\) | −1.96659 | + | 20.6914i | −0.0946175 | + | 0.995514i | ||||
\(433\) | 6.55162 | − | 6.55162i | 0.314851 | − | 0.314851i | −0.531935 | − | 0.846785i | \(-0.678535\pi\) |
0.846785 | + | 0.531935i | \(0.178535\pi\) | |||||||
\(434\) | −9.10398 | − | 7.33148i | −0.437005 | − | 0.351922i | ||||
\(435\) | 0.0118886 | + | 0.0169894i | 0.000570016 | + | 0.000814577i | ||||
\(436\) | −23.7209 | − | 22.8585i | −1.13602 | − | 1.09472i | ||||
\(437\) | 24.3772 | + | 1.59776i | 1.16612 | + | 0.0764315i | ||||
\(438\) | 31.4131 | + | 2.12035i | 1.50098 | + | 0.101314i | ||||
\(439\) | −19.0516 | − | 24.8285i | −0.909284 | − | 1.18500i | −0.982233 | − | 0.187666i | \(-0.939908\pi\) |
0.0729494 | − | 0.997336i | \(-0.476759\pi\) | |||||||
\(440\) | −0.000872265 | 0.00174689i | −4.15836e−5 | 8.32799e-5i | ||||||
\(441\) | −9.02689 | − | 6.32862i | −0.429852 | − | 0.301363i | ||||
\(442\) | −41.1118 | + | 1.72693i | −1.95549 | + | 0.0821415i | ||||
\(443\) | 11.0729 | − | 32.6196i | 0.526087 | − | 1.54980i | −0.281202 | − | 0.959648i | \(-0.590733\pi\) |
0.807290 | − | 0.590155i | \(-0.200933\pi\) | |||||||
\(444\) | −12.7044 | − | 7.77190i | −0.602923 | − | 0.368838i | ||||
\(445\) | −0.00500068 | − | 0.00246606i | −0.000237055 | − | 0.000116903i | ||||
\(446\) | −0.875141 | + | 37.2825i | −0.0414391 | + | 1.76538i | ||||
\(447\) | 1.16549 | − | 4.75690i | 0.0551258 | − | 0.224993i | ||||
\(448\) | −14.0529 | − | 3.91520i | −0.663939 | − | 0.184976i | ||||
\(449\) | −10.2421 | −0.483355 | −0.241677 | − | 0.970357i | \(-0.577698\pi\) | ||||
−0.241677 | + | 0.970357i | \(0.577698\pi\) | |||||||
\(450\) | 21.2091 | − | 0.415228i | 0.999808 | − | 0.0195740i | ||||
\(451\) | 2.75912 | − | 1.84358i | 0.129922 | − | 0.0868109i | ||||
\(452\) | −6.69132 | + | 6.09091i | −0.314733 | + | 0.286492i | ||||
\(453\) | 12.1659 | − | 6.32861i | 0.571604 | − | 0.297344i | ||||
\(454\) | 14.8285 | + | 23.3611i | 0.695934 | + | 1.09639i | ||||
\(455\) | 0.00775335 | − | 0.0101044i | 0.000363483 | − | 0.000473700i | ||||
\(456\) | −13.4265 | + | 28.4028i | −0.628752 | + | 1.33008i | ||||
\(457\) | 20.0241 | + | 26.0959i | 0.936688 | + | 1.22072i | 0.975170 | + | 0.221456i | \(0.0710809\pi\) |
−0.0384826 | + | 0.999259i | \(0.512252\pi\) | |||||||
\(458\) | 24.4688 | + | 8.95172i | 1.14335 | + | 0.418286i | ||||
\(459\) | 8.19611 | + | 30.6968i | 0.382562 | + | 1.43280i | ||||
\(460\) | −0.00309382 | − | 0.0107465i | −0.000144250 | − | 0.000501057i | ||||
\(461\) | 19.4644 | − | 22.1949i | 0.906550 | − | 1.03372i | −0.0927270 | − | 0.995692i | \(-0.529558\pi\) |
0.999277 | − | 0.0380301i | \(-0.0121083\pi\) | |||||||
\(462\) | −1.66916 | + | 1.27563i | −0.0776562 | + | 0.0593478i | ||||
\(463\) | 33.6456 | + | 9.01532i | 1.56365 | + | 0.418978i | 0.933815 | − | 0.357755i | \(-0.116458\pi\) |
0.629830 | + | 0.776733i | \(0.283124\pi\) | |||||||
\(464\) | −15.5032 | − | 28.7069i | −0.719719 | − | 1.33269i | ||||
\(465\) | 0.0101011 | + | 0.00554554i | 0.000468428 | + | 0.000257168i | ||||
\(466\) | −0.430715 | − | 3.99379i | −0.0199525 | − | 0.185009i | ||||
\(467\) | 4.23237 | − | 21.2776i | 0.195851 | − | 0.984608i | −0.750353 | − | 0.661037i | \(-0.770117\pi\) |
0.946204 | − | 0.323571i | \(-0.104883\pi\) | |||||||
\(468\) | 23.6774 | + | 15.9544i | 1.09449 | + | 0.737492i | ||||
\(469\) | −8.59229 | − | 5.74118i | −0.396755 | − | 0.265103i | ||||
\(470\) | −0.00126359 | + | 0.0141731i | −5.82851e−5 | + | 0.000653758i | ||||
\(471\) | 5.05883 | − | 6.89511i | 0.233098 | − | 0.317710i | ||||
\(472\) | 15.5951 | + | 20.5339i | 0.717822 | + | 0.945148i | ||||
\(473\) | −3.29478 | − | 2.52817i | −0.151494 | − | 0.116245i | ||||
\(474\) | −0.992155 | + | 0.660147i | −0.0455712 | + | 0.0303215i | ||||
\(475\) | 30.3625 | + | 10.3067i | 1.39313 | + | 0.472903i | ||||
\(476\) | −22.2214 | + | 1.87015i | −1.01852 | + | 0.0857181i | ||||
\(477\) | −20.3236 | + | 14.8835i | −0.930555 | + | 0.681469i | ||||
\(478\) | 7.83630 | − | 1.90381i | 0.358424 | − | 0.0870784i | ||||
\(479\) | 17.3793 | + | 10.0340i | 0.794082 | + | 0.458463i | 0.841398 | − | 0.540417i | \(-0.181733\pi\) |
−0.0473156 | + | 0.998880i | \(0.515067\pi\) | |||||||
\(480\) | 0.0143153 | + | 0.00137594i | 0.000653402 | + | 6.28030e-5i | ||||
\(481\) | −17.7172 | + | 10.2290i | −0.807833 | + | 0.466403i | ||||
\(482\) | 6.59856 | − | 6.29588i | 0.300556 | − | 0.286770i | ||||
\(483\) | 2.09281 | − | 11.8485i | 0.0952262 | − | 0.539126i | ||||
\(484\) | 7.30615 | + | 20.2818i | 0.332098 | + | 0.921898i | ||||
\(485\) | −0.000553767 | − | 0.00278397i | −2.51453e−5 | − | 0.000126414i | ||||
\(486\) | 8.05426 | − | 20.5214i | 0.365349 | − | 0.930871i | ||||
\(487\) | −7.89910 | + | 3.27191i | −0.357942 | + | 0.148265i | −0.554406 | − | 0.832247i | \(-0.687054\pi\) |
0.196463 | + | 0.980511i | \(0.437054\pi\) | |||||||
\(488\) | 0.146448 | − | 29.5436i | 0.00662939 | − | 1.33737i | ||||
\(489\) | 0.532784 | + | 1.21181i | 0.0240933 | + | 0.0548000i | ||||
\(490\) | −0.00438554 | + | 0.00624122i | −0.000198118 | + | 0.000281950i | ||||
\(491\) | −0.0461372 | + | 0.703917i | −0.00208214 | + | 0.0317673i | −0.998774 | − | 0.0495112i | \(-0.984234\pi\) |
0.996691 | + | 0.0812785i | \(0.0259003\pi\) | |||||||
\(492\) | −19.9702 | − | 14.0907i | −0.900327 | − | 0.635257i | ||||
\(493\) | −37.4964 | − | 32.8835i | −1.68875 | − | 1.48100i | ||||
\(494\) | 25.4607 | + | 34.8446i | 1.14553 | + | 1.56773i | ||||
\(495\) | 0.00140005 | − | 0.00152608i | 6.29274e−5 | − | 6.85921e-5i | ||||
\(496\) | −14.7827 | − | 10.4972i | −0.663762 | − | 0.471340i | ||||
\(497\) | 3.54289 | + | 13.2223i | 0.158920 | + | 0.593099i | ||||
\(498\) | −12.8471 | + | 30.8456i | −0.575692 | + | 1.38223i | ||||
\(499\) | 13.4943 | + | 39.7529i | 0.604088 | + | 1.77959i | 0.625997 | + | 0.779826i | \(0.284692\pi\) |
−0.0219090 | + | 0.999760i | \(0.506974\pi\) | |||||||
\(500\) | −0.000543400 | − | 0.0293506i | −2.43016e−5 | − | 0.00131260i | ||||
\(501\) | 15.1381 | + | 16.5301i | 0.676322 | + | 0.738512i | ||||
\(502\) | −9.33848 | − | 11.1666i | −0.416797 | − | 0.498389i | ||||
\(503\) | 0.570737 | − | 1.37788i | 0.0254479 | − | 0.0614367i | −0.910645 | − | 0.413190i | \(-0.864414\pi\) |
0.936093 | + | 0.351753i | \(0.114414\pi\) | |||||||
\(504\) | 13.1834 | + | 8.10025i | 0.587235 | + | 0.360814i | ||||
\(505\) | 0.00806718 | + | 0.0194759i | 0.000358985 | + | 0.000866666i | ||||
\(506\) | 2.24559 | + | 1.17370i | 0.0998287 | + | 0.0521774i | ||||
\(507\) | 14.8178 | − | 7.70810i | 0.658081 | − | 0.342329i | ||||
\(508\) | −7.97326 | + | 12.4247i | −0.353756 | + | 0.551257i | ||||
\(509\) | 33.2229 | + | 16.3837i | 1.47258 | + | 0.726195i | 0.988835 | − | 0.149015i | \(-0.0476102\pi\) |
0.483743 | + | 0.875210i | \(0.339277\pi\) | |||||||
\(510\) | 0.0212457 | − | 0.00564846i | 0.000940776 | − | 0.000250118i | ||||
\(511\) | 11.7193 | − | 20.2985i | 0.518432 | − | 0.897951i | ||||
\(512\) | −22.1245 | − | 4.74392i | −0.977776 | − | 0.209653i | ||||
\(513\) | 21.9929 | − | 25.0334i | 0.971010 | − | 1.10525i | ||||
\(514\) | 10.9036 | − | 17.9018i | 0.480936 | − | 0.789613i | ||||
\(515\) | −0.000894837 | − | 0.0136526i | −3.94312e−5 | − | 0.000601604i | ||||
\(516\) | −8.66508 | + | 29.3351i | −0.381459 | + | 1.29141i | ||||
\(517\) | −2.12578 | − | 2.42399i | −0.0934917 | − | 0.106607i | ||||
\(518\) | −9.36061 | + | 5.94164i | −0.411282 | + | 0.261061i | ||||
\(519\) | −14.6210 | − | 18.2284i | −0.641790 | − | 0.800136i | ||||
\(520\) | 0.0110566 | − | 0.0163711i | 0.000484863 | − | 0.000717919i | ||||
\(521\) | −6.29127 | + | 15.1885i | −0.275625 | + | 0.665418i | −0.999705 | − | 0.0242982i | \(-0.992265\pi\) |
0.724079 | + | 0.689717i | \(0.242265\pi\) | |||||||
\(522\) | 7.41411 | + | 33.8012i | 0.324507 | + | 1.47944i | ||||
\(523\) | −16.3087 | + | 24.4077i | −0.713131 | + | 1.06728i | 0.281065 | + | 0.959689i | \(0.409312\pi\) |
−0.994196 | + | 0.107587i | \(0.965688\pi\) | |||||||
\(524\) | 23.9794 | − | 14.4428i | 1.04754 | − | 0.630938i | ||||
\(525\) | 6.67825 | − | 14.3106i | 0.291463 | − | 0.624564i | ||||
\(526\) | −2.33312 | − | 6.02908i | −0.101729 | − | 0.262880i | ||||
\(527\) | −26.7708 | − | 7.17321i | −1.16615 | − | 0.312470i | ||||
\(528\) | −2.46464 | + | 2.13151i | −0.107260 | + | 0.0927622i | ||||
\(529\) | 8.19874 | − | 2.19685i | 0.356467 | − | 0.0955151i | ||||
\(530\) | 0.0102832 | + | 0.0140733i | 0.000446675 | + | 0.000611304i | ||||
\(531\) | −9.89721 | − | 25.4951i | −0.429502 | − | 1.10639i | ||||
\(532\) | 14.5786 | + | 18.2881i | 0.632065 | + | 0.792890i | ||||
\(533\) | −30.1112 | + | 14.8492i | −1.30426 | + | 0.643189i | ||||
\(534\) | −6.12152 | − | 7.00773i | −0.264904 | − | 0.303254i | ||||
\(535\) | −0.000221370 | − | 0.00168148i | −9.57068e−6 | − | 7.26965e-5i | ||||
\(536\) | −13.8413 | − | 8.08304i | −0.597855 | − | 0.349134i | ||||
\(537\) | −36.7033 | − | 14.2856i | −1.58386 | − | 0.616468i | ||||
\(538\) | 3.18769 | + | 10.1686i | 0.137431 | + | 0.438400i | ||||
\(539\) | −0.337182 | − | 1.69513i | −0.0145235 | − | 0.0730143i | ||||
\(540\) | −0.0141932 | − | 0.00558800i | −0.000610780 | − | 0.000240469i | ||||
\(541\) | −5.91479 | − | 8.85211i | −0.254297 | − | 0.380582i | 0.682253 | − | 0.731116i | \(-0.261000\pi\) |
−0.936550 | + | 0.350534i | \(0.886000\pi\) | |||||||
\(542\) | 10.2126 | + | 2.99501i | 0.438667 | + | 0.128647i | ||||
\(543\) | −7.01294 | + | 7.32150i | −0.300954 | + | 0.314195i | ||||
\(544\) | −34.2288 | + | 4.97920i | −1.46755 | + | 0.213481i | ||||
\(545\) | 0.0209371 | − | 0.0120880i | 0.000896845 | − | 0.000517794i | ||||
\(546\) | 18.4278 | − | 10.5915i | 0.788637 | − | 0.453275i | ||||
\(547\) | 17.5315 | − | 1.14907i | 0.749592 | − | 0.0491309i | 0.314182 | − | 0.949363i | \(-0.398270\pi\) |
0.435410 | + | 0.900232i | \(0.356603\pi\) | |||||||
\(548\) | 26.5389 | − | 2.23351i | 1.13369 | − | 0.0954107i | ||||
\(549\) | −8.78646 | + | 30.0790i | −0.374997 | + | 1.28374i | ||||
\(550\) | 2.44824 | + | 2.25085i | 0.104393 | + | 0.0959767i | ||||
\(551\) | −6.82729 | + | 51.8584i | −0.290852 | + | 2.20924i | ||||
\(552\) | 2.12912 | − | 18.5406i | 0.0906215 | − | 0.789142i | ||||
\(553\) | 0.115798 | + | 0.879574i | 0.00492424 | + | 0.0374033i | ||||
\(554\) | 6.55776 | + | 4.60796i | 0.278612 | + | 0.195773i | ||||
\(555\) | 0.00806054 | − | 0.00738176i | 0.000342151 | − | 0.000313338i | ||||
\(556\) | 12.0431 | − | 16.3114i | 0.510742 | − | 0.691759i | ||||
\(557\) | −4.78778 | + | 24.0698i | −0.202865 | + | 1.01987i | 0.736366 | + | 0.676584i | \(0.236540\pi\) |
−0.939231 | + | 0.343287i | \(0.888460\pi\) | |||||||
\(558\) | 12.0031 | + | 15.0245i | 0.508133 | + | 0.636036i | ||||
\(559\) | 29.7110 | + | 29.7110i | 1.25664 | + | 1.25664i | ||||
\(560\) | 0.00561442 | − | 0.00911588i | 0.000237253 | − | 0.000385216i | ||||
\(561\) | −2.39712 | + | 4.36632i | −0.101207 | + | 0.184346i | ||||
\(562\) | −7.20253 | + | 2.78722i | −0.303821 | + | 0.117572i | ||||
\(563\) | −7.55406 | − | 22.2535i | −0.318366 | − | 0.937875i | −0.981846 | − | 0.189681i | \(-0.939255\pi\) |
0.663480 | − | 0.748194i | \(-0.269079\pi\) | |||||||
\(564\) | −11.0406 | + | 21.0238i | −0.464894 | + | 0.885260i | ||||
\(565\) | −0.00293703 | − | 0.00595570i | −0.000123562 | − | 0.000250558i | ||||
\(566\) | 3.23180 | + | 1.18233i | 0.135843 | + | 0.0496970i | ||||
\(567\) | −11.0733 | − | 12.1130i | −0.465035 | − | 0.508698i | ||||
\(568\) | 6.72515 | + | 20.1391i | 0.282181 | + | 0.845017i | ||||
\(569\) | −28.0009 | − | 3.68639i | −1.17386 | − | 0.154541i | −0.481733 | − | 0.876318i | \(-0.659992\pi\) |
−0.692126 | + | 0.721777i | \(0.743326\pi\) | |||||||
\(570\) | −0.0173049 | − | 0.0152357i | −0.000724824 | − | 0.000638155i | ||||
\(571\) | −11.8267 | − | 13.4858i | −0.494932 | − | 0.564361i | 0.449411 | − | 0.893325i | \(-0.351634\pi\) |
−0.944343 | + | 0.328964i | \(0.893301\pi\) | |||||||
\(572\) | 0.954353 | + | 4.37315i | 0.0399035 | + | 0.182851i | ||||
\(573\) | −16.4633 | + | 19.6085i | −0.687766 | + | 0.819157i | ||||
\(574\) | −15.9665 | + | 8.72521i | −0.666427 | + | 0.364183i | ||||
\(575\) | −19.0473 | −0.794328 | ||||||||
\(576\) | 21.1707 | + | 11.3049i | 0.882112 | + | 0.471039i | ||||
\(577\) | 28.7912 | 1.19859 | 0.599296 | − | 0.800527i | \(-0.295447\pi\) | ||||
0.599296 | + | 0.800527i | \(0.295447\pi\) | |||||||
\(578\) | −25.3011 | + | 13.8263i | −1.05239 | + | 0.575100i | ||||
\(579\) | 13.8531 | + | 38.0959i | 0.575714 | + | 1.58321i | ||||
\(580\) | 0.0233932 | − | 0.00510510i | 0.000971350 | − | 0.000211978i | ||||
\(581\) | 16.4013 | + | 18.7021i | 0.680439 | + | 0.775892i | ||||
\(582\) | 0.933189 | − | 4.64419i | 0.0386819 | − | 0.192508i | ||||
\(583\) | −3.91547 | − | 0.515481i | −0.162162 | − | 0.0213490i | ||||
\(584\) | 16.2410 | − | 32.5259i | 0.672055 | − | 1.34593i | ||||
\(585\) | −0.0160591 | + | 0.0134591i | −0.000663963 | + | 0.000556465i | ||||
\(586\) | 12.1056 | + | 4.42873i | 0.500076 | + | 0.182949i | ||||
\(587\) | 7.28848 | + | 14.7796i | 0.300828 | + | 0.610019i | 0.993830 | − | 0.110917i | \(-0.0353788\pi\) |
−0.693002 | + | 0.720936i | \(0.743712\pi\) | |||||||
\(588\) | −10.7608 | + | 6.80104i | −0.443767 | + | 0.280470i | ||||
\(589\) | 9.34334 | + | 27.5246i | 0.384986 | + | 1.13413i | ||||
\(590\) | −0.0176478 | + | 0.00682931i | −0.000726549 | + | 0.000281158i | ||||
\(591\) | −29.9204 | + | 0.644050i | −1.23076 | + | 0.0264927i | ||||
\(592\) | −13.9354 | + | 10.0769i | −0.572740 | + | 0.414158i | ||||
\(593\) | −0.133137 | − | 0.133137i | −0.00546726 | − | 0.00546726i | 0.704368 | − | 0.709835i | \(-0.251231\pi\) |
−0.709835 | + | 0.704368i | \(0.751231\pi\) | |||||||
\(594\) | 3.13604 | − | 1.45269i | 0.128673 | − | 0.0596045i | ||||
\(595\) | 0.00319280 | − | 0.0160513i | 0.000130892 | − | 0.000658039i | ||||
\(596\) | −4.54957 | − | 3.35906i | −0.186358 | − | 0.137592i | ||||
\(597\) | 1.13821 | + | 5.14129i | 0.0465838 | + | 0.210419i | ||||
\(598\) | −20.9754 | − | 14.7389i | −0.857748 | − | 0.602716i | ||||
\(599\) | −5.52638 | − | 41.9770i | −0.225802 | − | 1.71514i | −0.610436 | − | 0.792066i | \(-0.709006\pi\) |
0.384634 | − | 0.923069i | \(-0.374328\pi\) | |||||||
\(600\) | 8.99764 | − | 22.7825i | 0.367327 | − | 0.930091i | ||||
\(601\) | −3.02176 | + | 22.9525i | −0.123260 | + | 0.936253i | 0.812338 | + | 0.583186i | \(0.198194\pi\) |
−0.935598 | + | 0.353066i | \(0.885139\pi\) | |||||||
\(602\) | 16.7633 | + | 15.4118i | 0.683221 | + | 0.628137i | ||||
\(603\) | 11.7492 | + | 12.2878i | 0.478463 | + | 0.500398i | ||||
\(604\) | −1.32797 | − | 15.7792i | −0.0540345 | − | 0.642047i | ||||
\(605\) | −0.0157871 | + | 0.00103474i | −0.000641835 | + | 4.20681e-5i | ||||
\(606\) | −0.0684894 | + | 35.1799i | −0.00278219 | + | 1.42909i | ||||
\(607\) | 31.2419 | − | 18.0375i | 1.26807 | − | 0.732121i | 0.293448 | − | 0.955975i | \(-0.405197\pi\) |
0.974623 | + | 0.223854i | \(0.0718638\pi\) | |||||||
\(608\) | 24.2862 | + | 26.9474i | 0.984937 | + | 1.09286i | ||||
\(609\) | 25.0214 | + | 6.13051i | 1.01392 | + | 0.248421i | ||||
\(610\) | 0.0208058 | + | 0.00610165i | 0.000842402 | + | 0.000247049i | ||||
\(611\) | 18.1225 | + | 27.1222i | 0.733156 | + | 1.09725i | ||||
\(612\) | 36.3545 | + | 4.93024i | 1.46954 | + | 0.199293i | ||||
\(613\) | 2.12984 | + | 10.7074i | 0.0860236 | + | 0.432470i | 0.999663 | + | 0.0259450i | \(0.00825947\pi\) |
−0.913640 | + | 0.406525i | \(0.866741\pi\) | |||||||
\(614\) | −0.841795 | − | 2.68530i | −0.0339721 | − | 0.108370i | ||||
\(615\) | 0.0139921 | − | 0.0112231i | 0.000564215 | − | 0.000452557i | ||||
\(616\) | 0.616217 | + | 2.34621i | 0.0248281 | + | 0.0945315i | ||||
\(617\) | 5.29002 | + | 40.1817i | 0.212968 | + | 1.61765i | 0.679862 | + | 0.733340i | \(0.262040\pi\) |
−0.466894 | + | 0.884313i | \(0.654627\pi\) | |||||||
\(618\) | 7.38144 | − | 21.6067i | 0.296925 | − | 0.869150i | ||||
\(619\) | 1.04007 | − | 0.512908i | 0.0418041 | − | 0.0206155i | −0.421267 | − | 0.906937i | \(-0.638414\pi\) |
0.463071 | + | 0.886321i | \(0.346748\pi\) | |||||||
\(620\) | 0.0104045 | − | 0.00829415i | 0.000417857 | − | 0.000333101i | ||||
\(621\) | −7.59121 | + | 18.2811i | −0.304625 | + | 0.733595i | ||||
\(622\) | −0.428517 | − | 0.586453i | −0.0171820 | − | 0.0235146i | ||||
\(623\) | −6.69098 | + | 1.79284i | −0.268069 | + | 0.0718288i | ||||
\(624\) | 27.5376 | − | 18.1263i | 1.10239 | − | 0.725632i | ||||
\(625\) | −24.1481 | − | 6.47047i | −0.965925 | − | 0.258819i | ||||
\(626\) | −4.06611 | − | 10.5073i | −0.162514 | − | 0.419958i | ||||
\(627\) | 5.20431 | − | 0.453774i | 0.207840 | − | 0.0181220i | ||||
\(628\) | −5.09487 | − | 8.45900i | −0.203308 | − | 0.337551i | ||||
\(629\) | −14.6048 | + | 21.8577i | −0.582333 | + | 0.871523i | ||||
\(630\) | −0.00838937 | + | 0.00765292i | −0.000334240 | + | 0.000304900i | ||||
\(631\) | 13.9275 | − | 33.6240i | 0.554446 | − | 1.33855i | −0.359662 | − | 0.933083i | \(-0.617108\pi\) |
0.914109 | − | 0.405470i | \(-0.132892\pi\) | |||||||
\(632\) | 0.261764 | + | 1.35094i | 0.0104124 | + | 0.0537374i | ||||
\(633\) | 6.49029 | − | 0.996994i | 0.257966 | − | 0.0396270i | ||||
\(634\) | −23.9839 | + | 15.2238i | −0.952522 | + | 0.604613i | ||||
\(635\) | −0.00714365 | − | 0.00814577i | −0.000283487 | − | 0.000323255i | ||||
\(636\) | 6.81199 | + | 28.2788i | 0.270113 | + | 1.12133i | ||||
\(637\) | 1.14367 | + | 17.4490i | 0.0453138 | + | 0.691355i | ||||
\(638\) | −2.82209 | + | 4.63337i | −0.111727 | + | 0.183437i | ||||
\(639\) | −0.969067 | − | 22.4994i | −0.0383357 | − | 0.890061i | ||||
\(640\) | 0.00783768 | − | 0.0146401i | 0.000309812 | − | 0.000578701i | ||||
\(641\) | 5.10204 | − | 8.83699i | 0.201518 | − | 0.349040i | −0.747499 | − | 0.664262i | \(-0.768746\pi\) |
0.949018 | + | 0.315222i | \(0.102079\pi\) | |||||||
\(642\) | 0.737862 | − | 2.73245i | 0.0291211 | − | 0.107841i | ||||
\(643\) | −23.5699 | − | 11.6234i | −0.929506 | − | 0.458382i | −0.0864796 | − | 0.996254i | \(-0.527562\pi\) |
−0.843027 | + | 0.537872i | \(0.819228\pi\) | |||||||
\(644\) | −11.6927 | − | 7.50353i | −0.460758 | − | 0.295680i | ||||
\(645\) | −0.0189292 | − | 0.0120671i | −0.000745337 | − | 0.000475141i | ||||
\(646\) | 49.1455 | + | 25.6868i | 1.93361 | + | 1.01064i | ||||
\(647\) | 10.4689 | + | 25.2743i | 0.411577 | + | 0.993634i | 0.984715 | + | 0.174175i | \(0.0557258\pi\) |
−0.573138 | + | 0.819459i | \(0.694274\pi\) | |||||||
\(648\) | −18.2800 | − | 17.7155i | −0.718108 | − | 0.695932i | ||||
\(649\) | 1.64079 | − | 3.96121i | 0.0644066 | − | 0.155491i | ||||
\(650\) | −21.5857 | − | 25.8113i | −0.846660 | − | 1.01240i | ||||
\(651\) | 13.9776 | − | 3.09445i | 0.547826 | − | 0.121281i | ||||
\(652\) | 1.52829 | − | 0.0282948i | 0.0598523 | − | 0.00110811i | ||||
\(653\) | −11.8468 | − | 34.8997i | −0.463603 | − | 1.36573i | −0.887829 | − | 0.460174i | \(-0.847787\pi\) |
0.424226 | − | 0.905556i | \(-0.360546\pi\) | |||||||
\(654\) | 40.0108 | − | 5.18830i | 1.56455 | − | 0.202879i | ||||
\(655\) | 0.00531713 | + | 0.0198438i | 0.000207757 | + | 0.000775361i | ||||
\(656\) | −23.9018 | + | 15.0060i | −0.933209 | + | 0.585885i | ||||
\(657\) | −26.0679 | + | 28.4145i | −1.01701 | + | 1.10855i | ||||
\(658\) | 10.4296 | + | 14.2736i | 0.406588 | + | 0.556442i | ||||
\(659\) | −21.7531 | − | 19.0770i | −0.847381 | − | 0.743133i | 0.120988 | − | 0.992654i | \(-0.461394\pi\) |
−0.968369 | + | 0.249521i | \(0.919727\pi\) | |||||||
\(660\) | −0.00100284 | − | 0.00217096i | −3.90354e−5 | − | 8.45043e-5i | ||||
\(661\) | 3.21093 | − | 48.9893i | 0.124891 | − | 1.90546i | −0.234246 | − | 0.972177i | \(-0.575262\pi\) |
0.359137 | − | 0.933285i | \(-0.383071\pi\) | |||||||
\(662\) | 19.0704 | − | 27.1397i | 0.741190 | − | 1.05482i | ||||
\(663\) | 29.8115 | − | 40.6327i | 1.15778 | − | 1.57804i | ||||
\(664\) | 27.1469 | + | 27.4174i | 1.05350 | + | 1.06400i | ||||
\(665\) | −0.0158576 | + | 0.00656844i | −0.000614932 | + | 0.000254713i | ||||
\(666\) | 17.1541 | − | 6.20009i | 0.664709 | − | 0.240248i | ||||
\(667\) | −6.06178 | − | 30.4746i | −0.234713 | − | 1.17998i | ||||
\(668\) | 24.3503 | − | 8.77175i | 0.942140 | − | 0.339389i | ||||
\(669\) | −34.9798 | − | 29.3691i | −1.35240 | − | 1.13547i | ||||
\(670\) | 0.00851082 | − | 0.00812043i | 0.000328802 | − | 0.000313720i | ||||
\(671\) | −4.25452 | + | 2.45635i | −0.164244 | + | 0.0948264i | ||||
\(672\) | 14.4984 | − | 10.4411i | 0.559288 | − | 0.402775i | ||||
\(673\) | 1.23439 | + | 0.712678i | 0.0475824 | + | 0.0274717i | 0.523602 | − | 0.851963i | \(-0.324588\pi\) |
−0.476020 | + | 0.879434i | \(0.657921\pi\) | |||||||
\(674\) | −38.4778 | + | 9.34810i | −1.48211 | + | 0.360076i | ||||
\(675\) | −15.8343 | + | 20.5979i | −0.609462 | + | 0.792815i | ||||
\(676\) | −1.61744 | − | 19.2187i | −0.0622093 | − | 0.739181i | ||||
\(677\) | 7.92704 | + | 2.69087i | 0.304661 | + | 0.103418i | 0.469583 | − | 0.882888i | \(-0.344404\pi\) |
−0.164923 | + | 0.986307i | \(0.552737\pi\) | |||||||
\(678\) | −0.703264 | − | 11.0596i | −0.0270087 | − | 0.424741i | ||||
\(679\) | −2.79773 | − | 2.14677i | −0.107367 | − | 0.0823856i | ||||
\(680\) | 0.00343808 | − | 0.0251508i | 0.000131844 | − | 0.000964487i | ||||
\(681\) | −33.6861 | − | 3.69927i | −1.29085 | − | 0.141756i | ||||
\(682\) | −0.267723 | + | 3.00293i | −0.0102517 | + | 0.114988i | ||||
\(683\) | −12.9557 | − | 8.65675i | −0.495738 | − | 0.331241i | 0.282440 | − | 0.959285i | \(-0.408856\pi\) |
−0.778178 | + | 0.628043i | \(0.783856\pi\) | |||||||
\(684\) | −16.8835 | − | 34.5750i | −0.645555 | − | 1.32201i | ||||
\(685\) | −0.00381315 | + | 0.0191700i | −0.000145693 | + | 0.000732447i | ||||
\(686\) | 2.95173 | + | 27.3699i | 0.112698 | + | 1.04499i | ||||
\(687\) | −27.2855 | + | 16.5463i | −1.04101 | + | 0.631280i | ||||
\(688\) | 27.3989 | + | 22.2893i | 1.04457 | + | 0.849771i | ||||
\(689\) | 38.5951 | + | 10.3415i | 1.47036 | + | 0.393981i | ||||
\(690\) | 0.0126435 | + | 0.00526595i | 0.000481328 | + | 0.000200471i | ||||
\(691\) | 3.60931 | − | 4.11563i | 0.137305 | − | 0.156566i | −0.679101 | − | 0.734045i | \(-0.737630\pi\) |
0.816405 | + | 0.577479i | \(0.195963\pi\) | |||||||
\(692\) | −25.9295 | + | 7.46487i | −0.985690 | + | 0.283772i | ||||
\(693\) | 0.0576433 | − | 2.57229i | 0.00218969 | − | 0.0977131i | ||||
\(694\) | −8.15832 | − | 2.98466i | −0.309686 | − | 0.113296i | ||||
\(695\) | 0.00905842 | + | 0.0118052i | 0.000343606 | + | 0.000447795i | ||||
\(696\) | 39.3142 | + | 7.14522i | 1.49020 | + | 0.270839i | ||||
\(697\) | −26.2626 | + | 34.2261i | −0.994767 | + | 1.29641i | ||||
\(698\) | 2.82119 | + | 4.44458i | 0.106784 | + | 0.168230i | ||||
\(699\) | 4.14849 | + | 2.64460i | 0.156910 | + | 0.100028i | ||||
\(700\) | −12.2750 | − | 13.4850i | −0.463952 | − | 0.509686i | ||||
\(701\) | −26.9818 | + | 18.0287i | −1.01909 | + | 0.680934i | −0.948567 | − | 0.316576i | \(-0.897467\pi\) |
−0.0705224 | + | 0.997510i | \(0.522467\pi\) | |||||||
\(702\) | −33.3758 | + | 10.4304i | −1.25969 | + | 0.393670i | ||||
\(703\) | 27.5704 | 1.03984 | ||||||||
\(704\) | 1.17406 | + | 3.57473i | 0.0442492 | + | 0.134728i | ||||
\(705\) | −0.0125853 | − | 0.0120549i | −0.000473991 | − | 0.000454015i | ||||
\(706\) | −0.0540900 | + | 2.30432i | −0.00203570 | + | 0.0867244i | ||||
\(707\) | 23.4888 | + | 11.5834i | 0.883387 | + | 0.435639i | ||||
\(708\) | −31.5694 | − | 0.802533i | −1.18645 | − | 0.0301610i | ||||
\(709\) | 11.0367 | − | 32.5131i | 0.414493 | − | 1.22106i | −0.516585 | − | 0.856236i | \(-0.672797\pi\) |
0.931078 | − | 0.364821i | \(-0.118870\pi\) | |||||||
\(710\) | −0.0155685 | 0.000653963i | −0.000584274 | 2.45428e-5i | ||||||
\(711\) | 0.128063 | − | 1.45391i | 0.00480275 | − | 0.0545258i | ||||
\(712\) | −10.1912 | + | 3.40319i | −0.381930 | + | 0.127540i | ||||
\(713\) | −10.5115 | − | 13.6988i | −0.393658 | − | 0.513025i | ||||
\(714\) | 15.2178 | − | 22.6793i | 0.569512 | − | 0.848753i | ||||
\(715\) | −0.00327792 | 0.000214846i | −0.000122587 | 8.03479e-6i | ||||||
\(716\) | −31.5573 | + | 32.7478i | −1.17935 | + | 1.22384i | ||||
\(717\) | −4.17669 | + | 8.95005i | −0.155981 | + | 0.334246i | ||||
\(718\) | 11.8492 | + | 9.54218i | 0.442206 | + | 0.356111i | ||||
\(719\) | 6.60506 | − | 6.60506i | 0.246327 | − | 0.246327i | −0.573134 | − | 0.819461i | \(-0.694273\pi\) |
0.819461 | + | 0.573134i | \(0.194273\pi\) | |||||||
\(720\) | −0.0122712 | + | 0.0126353i | −0.000457319 | + | 0.000470889i | ||||
\(721\) | −12.0193 | − | 12.0193i | −0.447621 | − | 0.447621i | ||||
\(722\) | −3.35491 | − | 31.1084i | −0.124857 | − | 1.15773i | ||||
\(723\) | 0.970252 | + | 11.1278i | 0.0360841 | + | 0.413846i | ||||
\(724\) | 4.67941 | + | 10.7308i | 0.173909 | + | 0.398808i | ||||
\(725\) | 2.66728 | − | 40.6948i | 0.0990603 | − | 1.51137i | ||||
\(726\) | −24.9848 | − | 8.53548i | −0.927273 | − | 0.316781i | ||||
\(727\) | −29.8117 | + | 22.8753i | −1.10565 | + | 0.848398i | −0.989457 | − | 0.144828i | \(-0.953737\pi\) |
−0.116197 | + | 0.993226i | \(0.537070\pi\) | |||||||
\(728\) | −3.08283 | − | 24.3485i | −0.114257 | − | 0.902415i | ||||
\(729\) | 13.4587 | + | 23.4065i | 0.498469 | + | 0.866908i | ||||
\(730\) | 0.0196414 | + | 0.0180578i | 0.000726959 | + | 0.000668349i | ||||
\(731\) | 51.1263 | + | 17.3550i | 1.89098 | + | 0.641900i | ||||
\(732\) | 28.1375 | + | 22.7497i | 1.03999 | + | 0.840853i | ||||
\(733\) | 8.27966 | − | 16.7895i | 0.305816 | − | 0.620134i | −0.688661 | − | 0.725083i | \(-0.741801\pi\) |
0.994478 | + | 0.104949i | \(0.0334679\pi\) | |||||||
\(734\) | −24.7039 | − | 25.8915i | −0.911837 | − | 0.955674i | ||||
\(735\) | −0.00261161 | − | 0.00896985i | −9.63306e−5 | − | 0.000330858i | ||||
\(736\) | −18.8068 | − | 10.5208i | −0.693229 | − | 0.387804i | ||||
\(737\) | 2.66532i | 0.0981783i | ||||||||
\(738\) | 28.7567 | − | 8.31193i | 1.05855 | − | 0.305966i | ||||
\(739\) | −3.21218 | − | 4.80737i | −0.118162 | − | 0.176842i | 0.767674 | − | 0.640841i | \(-0.221414\pi\) |
−0.885836 | + | 0.463999i | \(0.846414\pi\) | |||||||
\(740\) | −0.00427734 | − | 0.0118738i | −0.000157238 | − | 0.000436491i | ||||
\(741\) | −52.8034 | − | 2.32103i | −1.93978 | − | 0.0852650i | ||||
\(742\) | 21.1332 | + | 4.72176i | 0.775824 | + | 0.173341i | ||||
\(743\) | 12.6569 | + | 9.71195i | 0.464335 | + | 0.356297i | 0.814279 | − | 0.580474i | \(-0.197133\pi\) |
−0.349944 | + | 0.936771i | \(0.613799\pi\) | |||||||
\(744\) | 21.3506 | − | 6.10168i | 0.782752 | − | 0.223698i | ||||
\(745\) | 0.00329269 | − | 0.00252657i | 0.000120635 | − | 9.25664e-5i | ||||
\(746\) | 11.4983 | + | 24.7650i | 0.420984 | + | 0.906712i | ||||
\(747\) | −19.6627 | − | 35.8905i | −0.719421 | − | 1.31317i | ||||
\(748\) | 3.58524 | + | 4.49748i | 0.131089 | + | 0.164444i | ||||
\(749\) | −1.58415 | − | 1.38926i | −0.0578835 | − | 0.0507624i | ||||
\(750\) | 0.0284809 | + | 0.0219424i | 0.00103998 | + | 0.000801224i | ||||
\(751\) | 5.89026 | − | 21.9828i | 0.214939 | − | 0.802162i | −0.771249 | − | 0.636533i | \(-0.780368\pi\) |
0.986188 | − | 0.165629i | \(-0.0529655\pi\) | |||||||
\(752\) | 17.4861 | + | 21.1210i | 0.637651 | + | 0.770204i | ||||
\(753\) | 17.8242 | − | 0.383674i | 0.649551 | − | 0.0139819i | ||||
\(754\) | 34.4270 | − | 42.7503i | 1.25376 | − | 1.55687i | ||||
\(755\) | 0.0113979 | + | 0.00226718i | 0.000414811 | + | 8.25111e-5i | ||||
\(756\) | −17.8347 | + | 6.40683i | −0.648641 | + | 0.233014i | ||||
\(757\) | −11.8040 | + | 17.6659i | −0.429023 | + | 0.642079i | −0.981503 | − | 0.191448i | \(-0.938682\pi\) |
0.552480 | + | 0.833526i | \(0.313682\pi\) | |||||||
\(758\) | −19.9830 | − | 23.8948i | −0.725813 | − | 0.867899i | ||||
\(759\) | −2.84084 | + | 1.24900i | −0.103116 | + | 0.0453359i | ||||
\(760\) | −0.0239355 | + | 0.0116566i | −0.000868233 | + | 0.000422828i | ||||
\(761\) | 22.5880 | − | 29.4372i | 0.818813 | − | 1.06710i | −0.177735 | − | 0.984078i | \(-0.556877\pi\) |
0.996548 | − | 0.0830196i | \(-0.0264564\pi\) | |||||||
\(762\) | −5.77858 | − | 17.1326i | −0.209336 | − | 0.620650i | ||||
\(763\) | 9.65456 | − | 28.4414i | 0.349518 | − | 1.02965i | ||||
\(764\) | 13.5645 | + | 26.2688i | 0.490748 | + | 0.950372i | ||||
\(765\) | −0.0108583 | + | 0.0246379i | −0.000392581 | + | 0.000890785i | ||||
\(766\) | −1.84059 | + | 3.02193i | −0.0665033 | + | 0.109187i | ||||
\(767\) | −21.6898 | + | 37.5679i | −0.783174 | + | 1.35650i | ||||
\(768\) | 21.4680 | − | 17.5250i | 0.774660 | − | 0.632378i | ||||
\(769\) | 16.0980 | + | 27.8825i | 0.580508 | + | 1.00547i | 0.995419 | + | 0.0956070i | \(0.0304792\pi\) |
−0.414912 | + | 0.909862i | \(0.636187\pi\) | |||||||
\(770\) | −0.00177977 | 4.17771e-5i | −6.41386e−5 | 1.50554e-6i | ||||||
\(771\) | 8.77317 | + | 24.1262i | 0.315958 | + | 0.868884i | ||||
\(772\) | 46.7559 | + | 2.19624i | 1.68278 | + | 0.0790444i | ||||
\(773\) | −46.8642 | + | 9.32186i | −1.68559 | + | 0.335284i | −0.942575 | − | 0.333994i | \(-0.891603\pi\) |
−0.743012 | + | 0.669278i | \(0.766603\pi\) | |||||||
\(774\) | −21.4189 | − | 30.7357i | −0.769885 | − | 1.10477i | ||||
\(775\) | −8.67286 | − | 20.9381i | −0.311538 | − | 0.752120i | ||||
\(776\) | −4.53288 | − | 3.06138i | −0.162721 | − | 0.109897i | ||||
\(777\) | 1.48227 | − | 13.4977i | 0.0531760 | − | 0.484229i | ||||
\(778\) | −4.73060 | + | 0.826076i | −0.169600 | + | 0.0296163i | ||||
\(779\) | 45.1488 | + | 2.95921i | 1.61762 | + | 0.106025i | ||||
\(780\) | 0.00719243 | + | 0.0231011i | 0.000257530 | + | 0.000827151i | ||||
\(781\) | 2.32789 | − | 2.65445i | 0.0832984 | − | 0.0949836i | ||||
\(782\) | −32.5498 | − | 5.06496i | −1.16398 | − | 0.181123i | ||||
\(783\) | −37.9947 | − | 18.7787i | −1.35782 | − | 0.671096i | ||||
\(784\) | 2.45675 | + | 14.4924i | 0.0877409 | + | 0.517585i | ||||
\(785\) | 0.00700012 | − | 0.00187568i | 0.000249845 | − | 6.69458e-5i | ||||
\(786\) | −4.54116 | + | 33.9822i | −0.161978 | + | 1.21210i | ||||
\(787\) | 25.1923 | − | 8.55165i | 0.898010 | − | 0.304833i | 0.165999 | − | 0.986126i | \(-0.446915\pi\) |
0.732011 | + | 0.681293i | \(0.238582\pi\) | |||||||
\(788\) | −12.6312 | + | 32.1660i | −0.449968 | + | 1.14587i | ||||
\(789\) | 7.55053 | + | 2.38312i | 0.268806 | + | 0.0848413i | ||||
\(790\) | −0.00100589 | 8.96792e-5i | −3.57881e−5 | 3.19064e-6i | ||||||
\(791\) | −7.62194 | − | 3.15711i | −0.271005 | − | 0.112254i | ||||
\(792\) | −0.151963 | − | 3.98794i | −0.00539977 | − | 0.141705i | ||||
\(793\) | 45.9207 | − | 19.0210i | 1.63069 | − | 0.675455i | ||||
\(794\) | −12.1919 | − | 38.8916i | −0.432674 | − | 1.38021i | ||||
\(795\) | −0.0213266 | 0.000937432i | −0.000756377 | 3.32473e-5i | ||||||
\(796\) | 5.98450 | + | 1.07563i | 0.212115 | + | 0.0381248i | ||||
\(797\) | −13.7272 | + | 27.8361i | −0.486243 | + | 0.986004i | 0.506098 | + | 0.862476i | \(0.331088\pi\) |
−0.992341 | + | 0.123528i | \(0.960579\pi\) | |||||||
\(798\) | −28.6441 | − | 0.0557653i | −1.01399 | − | 0.00197407i | ||||
\(799\) | 36.2997 | + | 20.9576i | 1.28419 | + | 0.741428i | ||||
\(800\) | −20.2692 | − | 19.7271i | −0.716626 | − | 0.697457i | ||||
\(801\) | 11.3856 | − | 0.490386i | 0.402289 | − | 0.0173269i | ||||
\(802\) | −39.9087 | + | 9.69573i | −1.40922 | + | 0.342368i | ||||
\(803\) | −6.03238 | + | 0.395383i | −0.212878 | + | 0.0139528i | ||||
\(804\) | 18.3218 | − | 7.04913i | 0.646159 | − | 0.248604i | ||||
\(805\) | 0.00766587 | − | 0.00672279i | 0.000270187 | − | 0.000236947i | ||||
\(806\) | 6.65118 | − | 29.7687i | 0.234278 | − | 1.04856i | ||||
\(807\) | −12.1627 | − | 4.73396i | −0.428149 | − | 0.166643i | ||||
\(808\) | 37.4526 | + | 15.7313i | 1.31758 | + | 0.553427i | ||||
\(809\) | −6.38666 | − | 2.64544i | −0.224543 | − | 0.0930088i | 0.267576 | − | 0.963537i | \(-0.413777\pi\) |
−0.492119 | + | 0.870528i | \(0.663777\pi\) | |||||||
\(810\) | 0.0162053 | − | 0.00929509i | 0.000569397 | − | 0.000326596i | ||||
\(811\) | 7.71383 | + | 5.15421i | 0.270869 | + | 0.180989i | 0.683585 | − | 0.729871i | \(-0.260420\pi\) |
−0.412716 | + | 0.910860i | \(0.635420\pi\) | |||||||
\(812\) | 17.6688 | − | 23.9309i | 0.620052 | − | 0.839810i | ||||
\(813\) | −10.6795 | + | 7.47317i | −0.374546 | + | 0.262096i | ||||
\(814\) | 2.61552 | + | 1.15602i | 0.0916739 | + | 0.0405184i | ||||
\(815\) | −0.000290341 | 0.00108357i | −1.01702e−5 | 3.79556e-5i | ||||||
\(816\) | 21.4342 | − | 36.5402i | 0.750347 | − | 1.27916i | ||||
\(817\) | −14.6558 | − | 54.6961i | −0.512741 | − | 1.91357i | ||||
\(818\) | 4.40994 | − | 28.3403i | 0.154190 | − | 0.990896i | ||||
\(819\) | −3.97517 | + | 25.7263i | −0.138904 | + | 0.898951i | ||||
\(820\) | −0.00573003 | − | 0.0199034i | −0.000200101 | − | 0.000695058i | ||||
\(821\) | 5.85329 | + | 11.8693i | 0.204281 | + | 0.414241i | 0.974770 | − | 0.223213i | \(-0.0716544\pi\) |
−0.770489 | + | 0.637454i | \(0.779988\pi\) | |||||||
\(822\) | −18.1745 | + | 27.0858i | −0.633909 | + | 0.944726i | ||||
\(823\) | −41.3560 | + | 5.44462i | −1.44158 | + | 0.189787i | −0.810412 | − | 0.585860i | \(-0.800757\pi\) |
−0.631166 | + | 0.775648i | \(0.717423\pi\) | |||||||
\(824\) | −19.7359 | − | 17.4817i | −0.687531 | − | 0.609004i | ||||
\(825\) | −4.02590 | + | 0.618432i | −0.140164 | + | 0.0215310i | ||||
\(826\) | −10.8899 | + | 20.8351i | −0.378907 | + | 0.724946i | ||||
\(827\) | −15.8526 | + | 3.15328i | −0.551249 | + | 0.109650i | −0.462853 | − | 0.886435i | \(-0.653174\pi\) |
−0.0883961 | + | 0.996085i | \(0.528174\pi\) | |||||||
\(828\) | 16.0991 | + | 16.2250i | 0.559484 | + | 0.563858i | ||||
\(829\) | −17.8321 | + | 11.9150i | −0.619333 | + | 0.413825i | −0.825268 | − | 0.564741i | \(-0.808976\pi\) |
0.205936 | + | 0.978566i | \(0.433976\pi\) | |||||||
\(830\) | −0.0248478 | + | 0.0135786i | −0.000862480 | + | 0.000471321i | ||||
\(831\) | −9.42477 | + | 2.74406i | −0.326942 | + | 0.0951903i | ||||
\(832\) | −7.05619 | − | 37.4083i | −0.244629 | − | 1.29690i | ||||
\(833\) | 11.2348 | + | 19.4593i | 0.389263 | + | 0.674224i | ||||
\(834\) | 6.38039 | + | 23.9987i | 0.220935 | + | 0.831008i | ||||
\(835\) | 0.00124231 | + | 0.0189539i | 4.29918e−5 | + | 0.000655928i | ||||
\(836\) | 1.83293 | − | 5.74701i | 0.0633931 | − | 0.198764i | ||||
\(837\) | −23.5524 | − | 0.0208088i | −0.814089 | − | 0.000719258i | ||||
\(838\) | −4.27776 | + | 0.179690i | −0.147773 | + | 0.00620728i | ||||
\(839\) | 18.7230 | + | 2.46492i | 0.646388 | + | 0.0850986i | 0.446590 | − | 0.894739i | \(-0.352638\pi\) |
0.199798 | + | 0.979837i | \(0.435971\pi\) | |||||||
\(840\) | 0.00441989 | + | 0.0123449i | 0.000152501 | + | 0.000425939i | ||||
\(841\) | 37.2064 | − | 4.89831i | 1.28298 | − | 0.168907i | ||||
\(842\) | −8.43300 | − | 48.2924i | −0.290621 | − | 1.66427i | ||||
\(843\) | 2.84695 | − | 9.02012i | 0.0980543 | − | 0.310669i | ||||
\(844\) | 1.82652 | − | 7.35896i | 0.0628715 | − | 0.253306i | ||||
\(845\) | 0.0138823 | + | 0.00276137i | 0.000477567 | + | 9.49940e-5i | ||||
\(846\) | −11.6535 | − | 26.6465i | −0.400657 | − | 0.916126i | ||||
\(847\) | −13.8984 | + | 13.8984i | −0.477555 | + | 0.477555i | ||||
\(848\) | 33.1621 | + | 5.32874i | 1.13879 | + | 0.182990i | ||||
\(849\) | −3.60384 | + | 2.18541i | −0.123683 | + | 0.0750031i | ||||
\(850\) | −39.5459 | − | 17.4787i | −1.35641 | − | 0.599513i | ||||
\(851\) | −15.5087 | + | 5.26450i | −0.531632 | + | 0.180465i | ||||
\(852\) | −24.4037 | − | 8.98183i | −0.836058 | − | 0.307712i | ||||
\(853\) | 37.3342 | − | 18.4112i | 1.27830 | − | 0.630387i | 0.328871 | − | 0.944375i | \(-0.393332\pi\) |
0.949427 | + | 0.313988i | \(0.101665\pi\) | |||||||
\(854\) | 24.4319 | − | 11.3437i | 0.836044 | − | 0.388173i | ||||
\(855\) | 0.0278119 | − | 0.00488709i | 0.000951145 | − | 0.000167135i | ||||
\(856\) | −2.58292 | − | 2.00237i | −0.0882824 | − | 0.0684394i | ||||
\(857\) | 4.90271 | − | 37.2398i | 0.167473 | − | 1.27209i | −0.676797 | − | 0.736170i | \(-0.736632\pi\) |
0.844270 | − | 0.535917i | \(-0.180034\pi\) | |||||||
\(858\) | −4.91197 | − | 2.43422i | −0.167692 | − | 0.0831027i | ||||
\(859\) | 2.57054 | − | 2.25430i | 0.0877055 | − | 0.0769157i | −0.614371 | − | 0.789018i | \(-0.710590\pi\) |
0.702076 | + | 0.712102i | \(0.252257\pi\) | |||||||
\(860\) | −0.0212824 | + | 0.0147975i | −0.000725723 | + | 0.000504591i | ||||
\(861\) | 3.87607 | − | 21.9445i | 0.132096 | − | 0.747867i | ||||
\(862\) | 3.50268 | − | 11.9437i | 0.119302 | − | 0.406803i | ||||
\(863\) | − | 39.0383i | − | 1.32888i | −0.747342 | − | 0.664440i | \(-0.768670\pi\) | ||
0.747342 | − | 0.664440i | \(-0.231330\pi\) | |||||||
\(864\) | −27.0117 | + | 11.5917i | −0.918956 | + | 0.394359i | ||||
\(865\) | − | 0.0198023i | − | 0.000673299i | ||||||
\(866\) | 12.5737 | + | 3.68745i | 0.427271 | + | 0.125305i | ||||
\(867\) | 6.14219 | − | 34.7742i | 0.208600 | − | 1.18099i | ||||
\(868\) | 2.92432 | − | 16.2700i | 0.0992579 | − | 0.552241i | ||||
\(869\) | 0.172035 | − | 0.150870i | 0.00583588 | − | 0.00511793i | ||||
\(870\) | −0.0130213 | + | 0.0262755i | −0.000441463 | + | 0.000890822i | ||||
\(871\) | 3.51982 | − | 26.7357i | 0.119264 | − | 0.905904i | ||||
\(872\) | 12.2806 | − | 44.9396i | 0.415874 | − | 1.52185i | ||||
\(873\) | 3.72660 | + | 4.44651i | 0.126126 | + | 0.150491i | ||||
\(874\) | 14.5491 | + | 31.3357i | 0.492130 | + | 1.05994i | ||||
\(875\) | 0.0240051 | − | 0.0118380i | 0.000811519 | − | 0.000400197i | ||||
\(876\) | 18.6721 | + | 40.4217i | 0.630872 | + | 1.36572i | ||||
\(877\) | 17.5552 | − | 5.95918i | 0.592797 | − | 0.201227i | −0.00888881 | − | 0.999960i | \(-0.502829\pi\) |
0.601685 | + | 0.798733i | \(0.294496\pi\) | |||||||
\(878\) | 17.8920 | − | 40.4811i | 0.603825 | − | 1.36617i | ||||
\(879\) | −13.4991 | + | 8.18603i | −0.455314 | + | 0.276108i | ||||
\(880\) | −0.00275944 | 0.000102212i | −9.30208e−5 | 3.44557e-6i | ||||||
\(881\) | −11.4545 | + | 11.4545i | −0.385911 | + | 0.385911i | −0.873226 | − | 0.487315i | \(-0.837976\pi\) |
0.487315 | + | 0.873226i | \(0.337976\pi\) | |||||||
\(882\) | 1.73205 | − | 15.4943i | 0.0583212 | − | 0.521719i | ||||
\(883\) | −24.8260 | − | 4.93819i | −0.835460 | − | 0.166183i | −0.241219 | − | 0.970471i | \(-0.577547\pi\) |
−0.594241 | + | 0.804287i | \(0.702547\pi\) | |||||||
\(884\) | −30.0240 | − | 49.8487i | −1.00982 | − | 1.67659i | ||||
\(885\) | 0.00697567 | − | 0.0221013i | 0.000234485 | − | 0.000742927i | ||||
\(886\) | 47.9902 | − | 8.38024i | 1.61226 | − | 0.281540i | ||||
\(887\) | −50.5656 | + | 6.65709i | −1.69783 | + | 0.223523i | −0.916340 | − | 0.400400i | \(-0.868871\pi\) |
−0.781486 | + | 0.623923i | \(0.785538\pi\) | |||||||
\(888\) | 1.02920 | − | 21.0368i | 0.0345376 | − | 0.705949i | ||||
\(889\) | −13.3451 | − | 1.75692i | −0.447582 | − | 0.0589253i | ||||
\(890\) | −0.000330931 | − | 0.00787826i | −1.10928e−5 | − | 0.000264080i | ||||
\(891\) | −1.01095 | + | 4.11042i | −0.0338680 | + | 0.137704i | ||||
\(892\) | −46.8611 | + | 24.1979i | −1.56903 | + | 0.810204i | ||||
\(893\) | −2.87513 | − | 43.8659i | −0.0962124 | − | 1.46792i | ||||
\(894\) | 6.69372 | − | 1.77962i | 0.223871 | − | 0.0595193i | ||||
\(895\) | −0.0166881 | − | 0.0289046i | −0.000557821 | − | 0.000966175i | ||||
\(896\) | −4.67153 | − | 20.0949i | −0.156065 | − | 0.671323i | ||||
\(897\) | 30.1457 | − | 8.77705i | 1.00654 | − | 0.293057i | ||||
\(898\) | −6.94590 | − | 12.7105i | −0.231788 | − | 0.424153i | ||||
\(899\) | 30.7397 | − | 20.5396i | 1.02523 | − | 0.685034i | ||||
\(900\) | 14.8987 | + | 26.0390i | 0.496624 | + | 0.867965i | ||||
\(901\) | 50.3566 | − | 10.0165i | 1.67762 | − | 0.333700i | ||||
\(902\) | 4.15904 | + | 2.17380i | 0.138481 | + | 0.0723797i | ||||
\(903\) | −27.5657 | + | 4.23445i | −0.917328 | + | 0.140914i | ||||
\(904\) | −12.0967 | − | 4.17326i | −0.402330 | − | 0.138800i | ||||
\(905\) | −0.00851797 | + | 0.00112141i | −0.000283147 | + | 3.72770e-5i | ||||
\(906\) | 16.1044 | + | 10.8060i | 0.535032 | + | 0.359006i | ||||
\(907\) | −18.2129 | − | 36.9322i | −0.604751 | − | 1.22631i | −0.956913 | − | 0.290375i | \(-0.906220\pi\) |
0.352162 | − | 0.935939i | \(-0.385447\pi\) | |||||||
\(908\) | −18.9349 | + | 34.2450i | −0.628378 | + | 1.13646i | ||||
\(909\) | −33.5866 | − | 26.9886i | −1.11400 | − | 0.895157i | ||||
\(910\) | 0.0177976 | + | 0.00276943i | 0.000589985 | + | 9.18056e-5i | ||||
\(911\) | 3.07514 | + | 11.4766i | 0.101884 | + | 0.380236i | 0.997973 | − | 0.0636385i | \(-0.0202704\pi\) |
−0.896089 | + | 0.443874i | \(0.853604\pi\) | |||||||
\(912\) | −44.3533 | + | 2.59968i | −1.46869 | + | 0.0860841i | ||||
\(913\) | 1.66053 | − | 6.19719i | 0.0549556 | − | 0.205097i | ||||
\(914\) | −18.8053 | + | 42.5474i | −0.622024 | + | 1.40734i | ||||
\(915\) | −0.0217570 | + | 0.0152249i | −0.000719266 | + | 0.000503320i | ||||
\(916\) | 5.48492 | + | 36.4366i | 0.181227 | + | 1.20390i | ||||
\(917\) | 21.2215 | + | 14.1797i | 0.700794 | + | 0.468256i | ||||
\(918\) | −32.5363 | + | 30.9890i | −1.07386 | + | 1.02279i | ||||
\(919\) | 23.7265 | + | 9.82782i | 0.782664 | + | 0.324190i | 0.737990 | − | 0.674812i | \(-0.235775\pi\) |
0.0446739 | + | 0.999002i | \(0.485775\pi\) | |||||||
\(920\) | 0.0112382 | − | 0.0111274i | 0.000370514 | − | 0.000366859i | ||||
\(921\) | 3.21190 | + | 1.25013i | 0.105836 | + | 0.0411932i | ||||
\(922\) | 40.7442 | + | 9.10342i | 1.34184 | + | 0.299805i | ||||
\(923\) | −26.8564 | + | 23.5524i | −0.883988 | + | 0.775236i | ||||
\(924\) | −2.71504 | − | 1.20633i | −0.0893181 | − | 0.0396852i | ||||
\(925\) | −21.4503 | + | 1.40592i | −0.705280 | + | 0.0462265i | ||||
\(926\) | 11.6295 | + | 47.8682i | 0.382169 | + | 1.57305i | ||||
\(927\) | 15.0113 | + | 23.5937i | 0.493037 | + | 0.774920i | ||||
\(928\) | 25.1115 | − | 38.7077i | 0.824326 | − | 1.27064i | ||||
\(929\) | 1.80932 | + | 1.04461i | 0.0593618 | + | 0.0342726i | 0.529387 | − | 0.848380i | \(-0.322422\pi\) |
−0.470025 | + | 0.882653i | \(0.655755\pi\) | |||||||
\(930\) | −3.17262e−5 | 0.0162963i | −1.04034e−6 | 0.000534378i | ||||||
\(931\) | 10.4229 | − | 21.1355i | 0.341596 | − | 0.692688i | ||||
\(932\) | 4.66420 | − | 3.24299i | 0.152781 | − | 0.106228i | ||||
\(933\) | 0.888710 | + | 0.0390642i | 0.0290951 | + | 0.00127890i | ||||
\(934\) | 29.2757 | − | 9.17745i | 0.957931 | − | 0.300295i | ||||
\(935\) | −0.00389977 | + | 0.00161534i | −0.000127536 | + | 5.28272e-5i | ||||
\(936\) | −3.74213 | + | 40.2034i | −0.122315 | + | 1.31409i | ||||
\(937\) | 27.2485 | + | 11.2867i | 0.890169 | + | 0.368720i | 0.780432 | − | 0.625241i | \(-0.214999\pi\) |
0.109737 | + | 0.993961i | \(0.464999\pi\) | |||||||
\(938\) | 1.29777 | − | 14.5565i | 0.0423738 | − | 0.475288i | ||||
\(939\) | 13.1589 | + | 4.15325i | 0.429425 | + | 0.135536i | ||||
\(940\) | −0.0184458 | + | 0.00804370i | −0.000601636 | + | 0.000262357i | ||||
\(941\) | 20.5316 | − | 6.96954i | 0.669312 | − | 0.227201i | 0.0339594 | − | 0.999423i | \(-0.489188\pi\) |
0.635352 | + | 0.772223i | \(0.280855\pi\) | |||||||
\(942\) | 11.9876 | + | 1.60194i | 0.390577 | + | 0.0521942i | ||||
\(943\) | −25.9618 | + | 6.95644i | −0.845432 | + | 0.226533i | ||||
\(944\) | −14.9064 | + | 33.2790i | −0.485163 | + | 1.08314i | ||||
\(945\) | −0.000897343 | − | 0.0138787i | −2.91906e−5 | − | 0.000451473i | ||||
\(946\) | 0.903041 | − | 5.80336i | 0.0293604 | − | 0.188683i | ||||
\(947\) | 10.4368 | − | 11.9009i | 0.339151 | − | 0.386728i | −0.556974 | − | 0.830530i | \(-0.688038\pi\) |
0.896125 | + | 0.443803i | \(0.146371\pi\) | |||||||
\(948\) | −1.49209 | − | 0.783573i | −0.0484609 | − | 0.0254493i | ||||
\(949\) | 61.0326 | + | 4.00028i | 1.98120 | + | 0.129855i | ||||
\(950\) | 7.80038 | + | 44.6696i | 0.253078 | + | 1.44927i | ||||
\(951\) | 3.79788 | − | 34.5841i | 0.123155 | − | 1.12147i | ||||
\(952\) | −17.3908 | − | 26.3085i | −0.563638 | − | 0.852664i | ||||
\(953\) | −7.38171 | − | 17.8210i | −0.239117 | − | 0.577280i | 0.758075 | − | 0.652168i | \(-0.226140\pi\) |
−0.997192 | + | 0.0748878i | \(0.976140\pi\) | |||||||
\(954\) | −32.2533 | − | 15.1281i | −1.04424 | − | 0.489790i | ||||
\(955\) | −0.0212801 | + | 0.00423287i | −0.000688607 | + | 0.000136973i | ||||
\(956\) | 7.67699 | + | 8.43375i | 0.248292 | + | 0.272767i | ||||
\(957\) | −2.27069 | − | 6.24439i | −0.0734010 | − | 0.201853i | ||||
\(958\) | −0.665995 | + | 28.3725i | −0.0215173 | + | 0.916674i | ||||
\(959\) | 12.1413 | + | 21.0294i | 0.392064 | + | 0.679074i | ||||
\(960\) | 0.00800068 | + | 0.0186984i | 0.000258221 | + | 0.000603490i | ||||
\(961\) | −5.22751 | + | 9.05432i | −0.168629 | + | 0.292075i | ||||
\(962\) | −24.7095 | − | 15.0500i | −0.796666 | − | 0.485232i | ||||
\(963\) | 2.04808 | + | 2.79668i | 0.0659985 | + | 0.0901218i | ||||
\(964\) | 12.2882 | + | 3.91913i | 0.395775 | + | 0.126227i | ||||
\(965\) | −0.0110420 | + | 0.0325286i | −0.000355454 | + | 0.00104713i | ||||
\(966\) | 16.1233 | − | 5.43814i | 0.518759 | − | 0.174969i | ||||
\(967\) | 7.07715 | − | 9.22312i | 0.227586 | − | 0.296595i | −0.665577 | − | 0.746329i | \(-0.731814\pi\) |
0.893163 | + | 0.449734i | \(0.148481\pi\) | |||||||
\(968\) | −20.2149 | + | 22.8214i | −0.649731 | + | 0.733509i | ||||
\(969\) | −62.1728 | + | 27.3348i | −1.99728 | + | 0.878121i | ||||
\(970\) | 0.00307937 | − | 0.00257524i | 9.88725e−5 | − | 8.26858e-5i | ||||
\(971\) | 18.4926 | − | 27.6762i | 0.593457 | − | 0.888171i | −0.406215 | − | 0.913777i | \(-0.633152\pi\) |
0.999672 | + | 0.0256065i | \(0.00815170\pi\) | |||||||
\(972\) | 30.9293 | − | 3.92169i | 0.992057 | − | 0.125788i | ||||
\(973\) | 18.1312 | + | 3.60653i | 0.581261 | + | 0.115620i | ||||
\(974\) | −9.41739 | − | 7.58387i | −0.301753 | − | 0.243003i | ||||
\(975\) | 41.2003 | − | 0.886854i | 1.31946 | − | 0.0284020i | ||||
\(976\) | 36.7629 | − | 19.8539i | 1.17675 | − | 0.635506i | ||||
\(977\) | −1.93444 | + | 7.21944i | −0.0618883 | + | 0.230970i | −0.989941 | − | 0.141477i | \(-0.954815\pi\) |
0.928053 | + | 0.372448i | \(0.121481\pi\) | |||||||
\(978\) | −1.14254 | + | 1.48300i | −0.0365344 | + | 0.0474212i | ||||
\(979\) | 1.34326 | + | 1.17800i | 0.0429306 | + | 0.0376491i | ||||
\(980\) | −0.0107195 | − | 0.00120984i | −0.000342422 | − | 3.86469e-5i | ||||
\(981\) | −25.6592 | + | 42.2290i | −0.819235 | + | 1.34827i | ||||
\(982\) | −0.904851 | + | 0.420120i | −0.0288750 | + | 0.0134066i | ||||
\(983\) | 13.8503 | − | 10.6277i | 0.441756 | − | 0.338971i | −0.363815 | − | 0.931471i | \(-0.618526\pi\) |
0.805570 | + | 0.592500i | \(0.201859\pi\) | |||||||
\(984\) | 3.94333 | − | 34.3390i | 0.125709 | − | 1.09469i | ||||
\(985\) | −0.0201204 | − | 0.0154389i | −0.000641089 | − | 0.000491925i | ||||
\(986\) | 15.3794 | − | 68.8337i | 0.489781 | − | 2.19211i | ||||
\(987\) | −21.6302 | − | 0.950776i | −0.688496 | − | 0.0302635i | ||||
\(988\) | −25.9755 | + | 55.2273i | −0.826389 | + | 1.75701i | ||||
\(989\) | 18.6881 | + | 27.9687i | 0.594247 | + | 0.889354i | ||||
\(990\) | 0.00284334 | 0.000702518i | 9.03672e−5 | 2.23275e-5i | ||||||
\(991\) | 38.9185i | 1.23629i | 0.786065 | + | 0.618144i | \(0.212115\pi\) | ||||
−0.786065 | + | 0.618144i | \(0.787885\pi\) | |||||||
\(992\) | 3.00189 | − | 25.4642i | 0.0953100 | − | 0.808491i | ||||
\(993\) | 11.3565 | + | 39.0051i | 0.360387 | + | 1.23779i | ||||
\(994\) | −14.0061 | + | 13.3637i | −0.444248 | + | 0.423870i | ||||
\(995\) | −0.00197365 | + | 0.00400216i | −6.25689e−5 | + | 0.000126877i | ||||
\(996\) | −46.9920 | + | 4.97537i | −1.48900 | + | 0.157651i | ||||
\(997\) | 46.2936 | + | 15.7146i | 1.46613 | + | 0.497685i | 0.936538 | − | 0.350565i | \(-0.114011\pi\) |
0.529595 | + | 0.848251i | \(0.322344\pi\) | |||||||
\(998\) | −40.1820 | + | 43.7057i | −1.27194 | + | 1.38348i | ||||
\(999\) | −7.19952 | + | 21.1477i | −0.227783 | + | 0.669083i |
(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 | 576.2.bm.a.205.64 | yes | 1504 | |
9.4 | even | 3 | inner | 576.2.bm.a.13.1 | ✓ | 1504 | |
64.5 | even | 16 | inner | 576.2.bm.a.133.1 | yes | 1504 | |
576.517 | even | 48 | inner | 576.2.bm.a.517.64 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.1 | ✓ | 1504 | 9.4 | even | 3 | inner | |
576.2.bm.a.133.1 | yes | 1504 | 64.5 | even | 16 | inner | |
576.2.bm.a.205.64 | yes | 1504 | 1.1 | even | 1 | trivial | |
576.2.bm.a.517.64 | yes | 1504 | 576.517 | even | 48 | inner |