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 | 16.1 | ||
Root | \(-1.02682 - 1.77851i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 63.16 |
Dual form | 63.2.g.b.4.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).
\(n\) | \(10\) | \(29\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.02682 | − | 1.77851i | −0.726073 | − | 1.25760i | −0.958531 | − | 0.284989i | \(-0.908010\pi\) |
0.232458 | − | 0.972607i | \(-0.425323\pi\) | |||||||
\(3\) | 1.09995 | − | 1.33795i | 0.635054 | − | 0.772468i | ||||
\(4\) | −1.10873 | + | 1.92038i | −0.554365 | + | 0.960188i | ||||
\(5\) | −0.146246 | −0.0654030 | −0.0327015 | − | 0.999465i | \(-0.510411\pi\) | ||||
−0.0327015 | + | 0.999465i | \(0.510411\pi\) | |||||||
\(6\) | −3.50901 | − | 0.582422i | −1.43255 | − | 0.237773i | ||||
\(7\) | 0.0802402 | + | 2.64453i | 0.0303280 | + | 0.999540i | ||||
\(8\) | 0.446582 | 0.157891 | ||||||||
\(9\) | −0.580240 | − | 2.94335i | −0.193413 | − | 0.981117i | ||||
\(10\) | 0.150168 | + | 0.260099i | 0.0474874 | + | 0.0822506i | ||||
\(11\) | 1.66404 | 0.501727 | 0.250864 | − | 0.968022i | \(-0.419285\pi\) | ||||
0.250864 | + | 0.968022i | \(0.419285\pi\) | |||||||
\(12\) | 1.34983 | + | 3.59574i | 0.389663 | + | 1.03800i | ||||
\(13\) | 0.0999454 | + | 0.173111i | 0.0277199 | + | 0.0480122i | 0.879553 | − | 0.475802i | \(-0.157842\pi\) |
−0.851833 | + | 0.523814i | \(0.824509\pi\) | |||||||
\(14\) | 4.62094 | − | 2.85818i | 1.23500 | − | 0.763880i | ||||
\(15\) | −0.160862 | + | 0.195670i | −0.0415345 | + | 0.0505218i | ||||
\(16\) | 1.75890 | + | 3.04650i | 0.439724 | + | 0.761625i | ||||
\(17\) | 3.13555 | + | 5.43093i | 0.760483 | + | 1.31720i | 0.942602 | + | 0.333919i | \(0.108371\pi\) |
−0.182119 | + | 0.983277i | \(0.558296\pi\) | |||||||
\(18\) | −4.63897 | + | 4.05426i | −1.09342 | + | 0.955599i | ||||
\(19\) | 3.45879 | − | 5.99080i | 0.793500 | − | 1.37438i | −0.130287 | − | 0.991476i | \(-0.541590\pi\) |
0.923787 | − | 0.382907i | \(-0.125077\pi\) | |||||||
\(20\) | 0.162147 | − | 0.280847i | 0.0362571 | − | 0.0627992i | ||||
\(21\) | 3.62652 | + | 2.80149i | 0.791372 | + | 0.611334i | ||||
\(22\) | −1.70867 | − | 2.95951i | −0.364291 | − | 0.630970i | ||||
\(23\) | −6.18184 | −1.28900 | −0.644501 | − | 0.764604i | \(-0.722935\pi\) | ||||
−0.644501 | + | 0.764604i | \(0.722935\pi\) | |||||||
\(24\) | 0.491216 | − | 0.597507i | 0.100269 | − | 0.121966i | ||||
\(25\) | −4.97861 | −0.995722 | ||||||||
\(26\) | 0.205252 | − | 0.355508i | 0.0402533 | − | 0.0697208i | ||||
\(27\) | −4.57630 | − | 2.46119i | −0.880710 | − | 0.473657i | ||||
\(28\) | −5.16746 | − | 2.77798i | −0.976559 | − | 0.524989i | ||||
\(29\) | −2.46757 | + | 4.27396i | −0.458217 | + | 0.793655i | −0.998867 | − | 0.0475930i | \(-0.984845\pi\) |
0.540650 | + | 0.841248i | \(0.318178\pi\) | |||||||
\(30\) | 0.513178 | + | 0.0851766i | 0.0936930 | + | 0.0155511i | ||||
\(31\) | 1.25890 | − | 2.18047i | 0.226105 | − | 0.391625i | −0.730546 | − | 0.682864i | \(-0.760734\pi\) |
0.956650 | + | 0.291239i | \(0.0940675\pi\) | |||||||
\(32\) | 4.05873 | − | 7.02993i | 0.717490 | − | 1.24273i | ||||
\(33\) | 1.83035 | − | 2.22641i | 0.318624 | − | 0.387568i | ||||
\(34\) | 6.43931 | − | 11.1532i | 1.10433 | − | 1.91276i | ||||
\(35\) | −0.0117348 | − | 0.386752i | −0.00198354 | − | 0.0653730i | ||||
\(36\) | 6.29567 | + | 2.14910i | 1.04928 | + | 0.358184i | ||||
\(37\) | −3.50023 | + | 6.06257i | −0.575434 | + | 0.996681i | 0.420560 | + | 0.907264i | \(0.361833\pi\) |
−0.995994 | + | 0.0894162i | \(0.971500\pi\) | |||||||
\(38\) | −14.2062 | −2.30456 | ||||||||
\(39\) | 0.341548 | + | 0.0566898i | 0.0546915 | + | 0.00907763i | ||||
\(40\) | −0.0653107 | −0.0103265 | ||||||||
\(41\) | 1.15895 | + | 2.00736i | 0.180998 | + | 0.313498i | 0.942221 | − | 0.334993i | \(-0.108734\pi\) |
−0.761223 | + | 0.648491i | \(0.775401\pi\) | |||||||
\(42\) | 1.25867 | − | 9.32643i | 0.194217 | − | 1.43910i | ||||
\(43\) | −0.940993 | + | 1.62985i | −0.143500 | + | 0.248550i | −0.928812 | − | 0.370550i | \(-0.879169\pi\) |
0.785312 | + | 0.619100i | \(0.212502\pi\) | |||||||
\(44\) | −1.84497 | + | 3.19558i | −0.278140 | + | 0.481752i | ||||
\(45\) | 0.0848576 | + | 0.430452i | 0.0126498 | + | 0.0641681i | ||||
\(46\) | 6.34765 | + | 10.9944i | 0.935910 | + | 1.62104i | ||||
\(47\) | 0.905887 | + | 1.56904i | 0.132137 | + | 0.228868i | 0.924500 | − | 0.381181i | \(-0.124483\pi\) |
−0.792363 | + | 0.610050i | \(0.791149\pi\) | |||||||
\(48\) | 6.01077 | + | 0.997660i | 0.867579 | + | 0.144000i | ||||
\(49\) | −6.98712 | + | 0.424396i | −0.998160 | + | 0.0606280i | ||||
\(50\) | 5.11215 | + | 8.85451i | 0.722967 | + | 1.25222i | ||||
\(51\) | 10.7153 | + | 1.77851i | 1.50044 | + | 0.249041i | ||||
\(52\) | −0.443250 | −0.0614677 | ||||||||
\(53\) | −2.67307 | − | 4.62989i | −0.367174 | − | 0.635964i | 0.621948 | − | 0.783058i | \(-0.286341\pi\) |
−0.989123 | + | 0.147094i | \(0.953008\pi\) | |||||||
\(54\) | 0.321798 | + | 10.6662i | 0.0437911 | + | 1.45149i | ||||
\(55\) | −0.243359 | −0.0328145 | ||||||||
\(56\) | 0.0358339 | + | 1.18100i | 0.00478850 | + | 0.157818i | ||||
\(57\) | −4.21093 | − | 11.2172i | −0.557751 | − | 1.48576i | ||||
\(58\) | 10.1350 | 1.33080 | ||||||||
\(59\) | 2.28549 | − | 3.95859i | 0.297546 | − | 0.515364i | −0.678028 | − | 0.735036i | \(-0.737165\pi\) |
0.975574 | + | 0.219672i | \(0.0704986\pi\) | |||||||
\(60\) | −0.197407 | − | 0.525861i | −0.0254851 | − | 0.0678883i | ||||
\(61\) | 0.339138 | + | 0.587404i | 0.0434221 | + | 0.0752094i | 0.886920 | − | 0.461924i | \(-0.152841\pi\) |
−0.843498 | + | 0.537133i | \(0.819507\pi\) | |||||||
\(62\) | −5.17066 | −0.656674 | ||||||||
\(63\) | 7.73724 | − | 1.77064i | 0.974800 | − | 0.223080i | ||||
\(64\) | −9.63481 | −1.20435 | ||||||||
\(65\) | −0.0146166 | − | 0.0253167i | −0.00181296 | − | 0.00314015i | ||||
\(66\) | −5.83914 | − | 0.969173i | −0.718748 | − | 0.119297i | ||||
\(67\) | 3.09342 | − | 5.35796i | 0.377921 | − | 0.654579i | −0.612838 | − | 0.790208i | \(-0.709972\pi\) |
0.990760 | + | 0.135630i | \(0.0433057\pi\) | |||||||
\(68\) | −13.9059 | −1.68634 | ||||||||
\(69\) | −6.79968 | + | 8.27101i | −0.818586 | + | 0.995713i | ||||
\(70\) | −0.675792 | + | 0.417996i | −0.0807726 | + | 0.0499600i | ||||
\(71\) | 1.27749 | 0.151611 | 0.0758053 | − | 0.997123i | \(-0.475847\pi\) | ||||
0.0758053 | + | 0.997123i | \(0.475847\pi\) | |||||||
\(72\) | −0.259125 | − | 1.31445i | −0.0305382 | − | 0.154909i | ||||
\(73\) | −0.778603 | − | 1.34858i | −0.0911286 | − | 0.157839i | 0.816858 | − | 0.576839i | \(-0.195714\pi\) |
−0.907986 | + | 0.419000i | \(0.862381\pi\) | |||||||
\(74\) | 14.3765 | 1.67123 | ||||||||
\(75\) | −5.47620 | + | 6.66115i | −0.632337 | + | 0.769164i | ||||
\(76\) | 7.66972 | + | 13.2843i | 0.879777 | + | 1.52382i | ||||
\(77\) | 0.133523 | + | 4.40061i | 0.0152164 | + | 0.501496i | ||||
\(78\) | −0.249886 | − | 0.665657i | −0.0282940 | − | 0.0753708i | ||||
\(79\) | −6.39787 | − | 11.0814i | −0.719817 | − | 1.24676i | −0.961072 | − | 0.276298i | \(-0.910892\pi\) |
0.241255 | − | 0.970462i | \(-0.422441\pi\) | |||||||
\(80\) | −0.257231 | − | 0.445537i | −0.0287593 | − | 0.0498126i | ||||
\(81\) | −8.32664 | + | 3.41570i | −0.925183 | + | 0.379522i | ||||
\(82\) | 2.38008 | − | 4.12241i | 0.262835 | − | 0.455244i | ||||
\(83\) | 3.75687 | − | 6.50709i | 0.412370 | − | 0.714246i | −0.582778 | − | 0.812631i | \(-0.698034\pi\) |
0.995148 | + | 0.0983854i | \(0.0313678\pi\) | |||||||
\(84\) | −9.40074 | + | 3.85820i | −1.02570 | + | 0.420964i | ||||
\(85\) | −0.458561 | − | 0.794251i | −0.0497379 | − | 0.0861486i | ||||
\(86\) | 3.86493 | 0.416766 | ||||||||
\(87\) | 3.00417 | + | 8.00262i | 0.322080 | + | 0.857971i | ||||
\(88\) | 0.743131 | 0.0792181 | ||||||||
\(89\) | 4.53394 | − | 7.85301i | 0.480597 | − | 0.832418i | −0.519155 | − | 0.854680i | \(-0.673753\pi\) |
0.999752 | + | 0.0222619i | \(0.00708678\pi\) | |||||||
\(90\) | 0.678430 | − | 0.592918i | 0.0715128 | − | 0.0624991i | ||||
\(91\) | −0.449777 | + | 0.278199i | −0.0471494 | + | 0.0291632i | ||||
\(92\) | 6.85398 | − | 11.8714i | 0.714577 | − | 1.23768i | ||||
\(93\) | −1.53266 | − | 4.08275i | −0.158929 | − | 0.423361i | ||||
\(94\) | 1.86037 | − | 3.22226i | 0.191883 | − | 0.332350i | ||||
\(95\) | −0.505833 | + | 0.876128i | −0.0518973 | + | 0.0898888i | ||||
\(96\) | −4.94134 | − | 13.1629i | −0.504323 | − | 1.34344i | ||||
\(97\) | −3.98514 | + | 6.90246i | −0.404630 | + | 0.700839i | −0.994278 | − | 0.106821i | \(-0.965933\pi\) |
0.589649 | + | 0.807660i | \(0.299266\pi\) | |||||||
\(98\) | 7.92933 | + | 11.9909i | 0.800983 | + | 1.21126i | ||||
\(99\) | −0.965543 | − | 4.89786i | −0.0970408 | − | 0.492253i | ||||
\(100\) | 5.51993 | − | 9.56080i | 0.551993 | − | 0.956080i | ||||
\(101\) | 14.8430 | 1.47693 | 0.738467 | − | 0.674290i | \(-0.235550\pi\) | ||||
0.738467 | + | 0.674290i | \(0.235550\pi\) | |||||||
\(102\) | −7.83959 | − | 20.8834i | −0.776235 | − | 2.06777i | ||||
\(103\) | −0.203948 | −0.0200956 | −0.0100478 | − | 0.999950i | \(-0.503198\pi\) | ||||
−0.0100478 | + | 0.999950i | \(0.503198\pi\) | |||||||
\(104\) | 0.0446339 | + | 0.0773081i | 0.00437671 | + | 0.00758068i | ||||
\(105\) | −0.530363 | − | 0.409705i | −0.0517582 | − | 0.0399831i | ||||
\(106\) | −5.48953 | + | 9.50815i | −0.533191 | + | 0.923513i | ||||
\(107\) | 3.48444 | − | 6.03524i | 0.336854 | − | 0.583448i | −0.646985 | − | 0.762503i | \(-0.723970\pi\) |
0.983839 | + | 0.179054i | \(0.0573038\pi\) | |||||||
\(108\) | 9.80029 | − | 6.05942i | 0.943033 | − | 0.583068i | ||||
\(109\) | 3.33058 | + | 5.76874i | 0.319012 | + | 0.552545i | 0.980282 | − | 0.197603i | \(-0.0633157\pi\) |
−0.661270 | + | 0.750148i | \(0.729982\pi\) | |||||||
\(110\) | 0.249886 | + | 0.432816i | 0.0238257 | + | 0.0412674i | ||||
\(111\) | 4.26138 | + | 11.3516i | 0.404472 | + | 1.07745i | ||||
\(112\) | −7.91544 | + | 4.89592i | −0.747939 | + | 0.462621i | ||||
\(113\) | −0.0193234 | − | 0.0334691i | −0.00181779 | − | 0.00314851i | 0.865115 | − | 0.501573i | \(-0.167245\pi\) |
−0.866933 | + | 0.498425i | \(0.833912\pi\) | |||||||
\(114\) | −15.6261 | + | 19.0073i | −1.46352 | + | 1.78020i | ||||
\(115\) | 0.904067 | 0.0843047 | ||||||||
\(116\) | −5.47174 | − | 9.47733i | −0.508038 | − | 0.879948i | ||||
\(117\) | 0.451533 | − | 0.394620i | 0.0417442 | − | 0.0364826i | ||||
\(118\) | −9.38718 | −0.864160 | ||||||||
\(119\) | −14.1107 | + | 8.72785i | −1.29353 | + | 0.800081i | ||||
\(120\) | −0.0718382 | + | 0.0873827i | −0.00655790 | + | 0.00797692i | ||||
\(121\) | −8.23097 | −0.748270 | ||||||||
\(122\) | 0.696469 | − | 1.20632i | 0.0630553 | − | 0.109215i | ||||
\(123\) | 3.96054 | + | 0.657366i | 0.357110 | + | 0.0592727i | ||||
\(124\) | 2.79155 | + | 4.83511i | 0.250689 | + | 0.434206i | ||||
\(125\) | 1.45933 | 0.130526 | ||||||||
\(126\) | −11.0939 | − | 11.9426i | −0.988320 | − | 1.06393i | ||||
\(127\) | 13.4788 | 1.19605 | 0.598027 | − | 0.801476i | \(-0.295952\pi\) | ||||
0.598027 | + | 0.801476i | \(0.295952\pi\) | |||||||
\(128\) | 1.77577 | + | 3.07572i | 0.156957 | + | 0.271858i | ||||
\(129\) | 1.14562 | + | 3.05175i | 0.100866 | + | 0.268692i | ||||
\(130\) | −0.0300173 | + | 0.0519914i | −0.00263269 | + | 0.00455995i | ||||
\(131\) | −19.8333 | −1.73284 | −0.866422 | − | 0.499312i | \(-0.833586\pi\) | ||||
−0.866422 | + | 0.499312i | \(0.833586\pi\) | |||||||
\(132\) | 2.24617 | + | 5.98345i | 0.195504 | + | 0.520793i | ||||
\(133\) | 16.1204 | + | 8.66618i | 1.39782 | + | 0.751453i | ||||
\(134\) | −12.7056 | −1.09759 | ||||||||
\(135\) | 0.669264 | + | 0.359939i | 0.0576011 | + | 0.0309786i | ||||
\(136\) | 1.40028 | + | 2.42536i | 0.120073 | + | 0.207973i | ||||
\(137\) | −6.44509 | −0.550642 | −0.275321 | − | 0.961352i | \(-0.588784\pi\) | ||||
−0.275321 | + | 0.961352i | \(0.588784\pi\) | |||||||
\(138\) | 21.6921 | + | 3.60043i | 1.84656 | + | 0.306489i | ||||
\(139\) | 6.26527 | + | 10.8518i | 0.531413 | + | 0.920435i | 0.999328 | + | 0.0366611i | \(0.0116722\pi\) |
−0.467914 | + | 0.883774i | \(0.654994\pi\) | |||||||
\(140\) | 0.755719 | + | 0.406268i | 0.0638699 | + | 0.0343359i | ||||
\(141\) | 3.09573 | + | 0.513826i | 0.260708 | + | 0.0432720i | ||||
\(142\) | −1.31176 | − | 2.27203i | −0.110080 | − | 0.190665i | ||||
\(143\) | 0.166313 | + | 0.288063i | 0.0139078 | + | 0.0240890i | ||||
\(144\) | 7.94634 | − | 6.94476i | 0.662195 | − | 0.578730i | ||||
\(145\) | 0.360872 | − | 0.625048i | 0.0299688 | − | 0.0519074i | ||||
\(146\) | −1.59897 | + | 2.76950i | −0.132332 | + | 0.229206i | ||||
\(147\) | −7.11763 | + | 9.81526i | −0.587052 | + | 0.809549i | ||||
\(148\) | −7.76161 | − | 13.4435i | −0.638000 | − | 1.10505i | ||||
\(149\) | 17.7673 | 1.45555 | 0.727776 | − | 0.685815i | \(-0.240554\pi\) | ||||
0.727776 | + | 0.685815i | \(0.240554\pi\) | |||||||
\(150\) | 17.4700 | + | 2.89965i | 1.42642 | + | 0.236756i | ||||
\(151\) | 8.46599 | 0.688953 | 0.344476 | − | 0.938795i | \(-0.388056\pi\) | ||||
0.344476 | + | 0.938795i | \(0.388056\pi\) | |||||||
\(152\) | 1.54463 | − | 2.67538i | 0.125286 | − | 0.217002i | ||||
\(153\) | 14.1658 | − | 12.3803i | 1.14524 | − | 1.00089i | ||||
\(154\) | 7.68942 | − | 4.75612i | 0.619631 | − | 0.383259i | ||||
\(155\) | −0.184108 | + | 0.318885i | −0.0147879 | + | 0.0256135i | ||||
\(156\) | −0.487550 | + | 0.593047i | −0.0390353 | + | 0.0474818i | ||||
\(157\) | −2.84968 | + | 4.93579i | −0.227429 | + | 0.393919i | −0.957045 | − | 0.289938i | \(-0.906365\pi\) |
0.729616 | + | 0.683857i | \(0.239699\pi\) | |||||||
\(158\) | −13.1390 | + | 22.7573i | −1.04528 | + | 1.81048i | ||||
\(159\) | −9.13481 | − | 1.51618i | −0.724437 | − | 0.120241i | ||||
\(160\) | −0.593572 | + | 1.02810i | −0.0469260 | + | 0.0812782i | ||||
\(161\) | −0.496032 | − | 16.3481i | −0.0390928 | − | 1.28841i | ||||
\(162\) | 14.6248 | + | 11.3017i | 1.14904 | + | 0.887944i | ||||
\(163\) | −1.06267 | + | 1.84060i | −0.0832349 | + | 0.144167i | −0.904638 | − | 0.426181i | \(-0.859859\pi\) |
0.821403 | + | 0.570349i | \(0.193192\pi\) | |||||||
\(164\) | −5.13986 | −0.401355 | ||||||||
\(165\) | −0.267681 | + | 0.325603i | −0.0208390 | + | 0.0253481i | ||||
\(166\) | −15.4306 | −1.19764 | ||||||||
\(167\) | −5.78723 | − | 10.0238i | −0.447829 | − | 0.775663i | 0.550415 | − | 0.834891i | \(-0.314470\pi\) |
−0.998244 | + | 0.0592278i | \(0.981136\pi\) | |||||||
\(168\) | 1.61954 | + | 1.25109i | 0.124950 | + | 0.0965240i | ||||
\(169\) | 6.48002 | − | 11.2237i | 0.498463 | − | 0.863364i | ||||
\(170\) | −0.941721 | + | 1.63111i | −0.0722267 | + | 0.125100i | ||||
\(171\) | −19.6400 | − | 6.70433i | −1.50190 | − | 0.512693i | ||||
\(172\) | −2.08661 | − | 3.61412i | −0.159103 | − | 0.275574i | ||||
\(173\) | 7.95546 | + | 13.7793i | 0.604842 | + | 1.04762i | 0.992076 | + | 0.125636i | \(0.0400971\pi\) |
−0.387234 | + | 0.921981i | \(0.626570\pi\) | |||||||
\(174\) | 11.1480 | − | 13.5602i | 0.845127 | − | 1.02800i | ||||
\(175\) | −0.399485 | − | 13.1661i | −0.0301982 | − | 0.995264i | ||||
\(176\) | 2.92688 | + | 5.06950i | 0.220622 | + | 0.382128i | ||||
\(177\) | −2.78249 | − | 7.41212i | −0.209145 | − | 0.557129i | ||||
\(178\) | −18.6222 | −1.39579 | ||||||||
\(179\) | 3.87665 | + | 6.71456i | 0.289755 | + | 0.501870i | 0.973751 | − | 0.227615i | \(-0.0730929\pi\) |
−0.683996 | + | 0.729485i | \(0.739760\pi\) | |||||||
\(180\) | −0.920714 | − | 0.314297i | −0.0686260 | − | 0.0234263i | ||||
\(181\) | −12.1618 | −0.903982 | −0.451991 | − | 0.892022i | \(-0.649286\pi\) | ||||
−0.451991 | + | 0.892022i | \(0.649286\pi\) | |||||||
\(182\) | 0.956621 | + | 0.514271i | 0.0709095 | + | 0.0381203i | ||||
\(183\) | 1.15895 | + | 0.192362i | 0.0856722 | + | 0.0142198i | ||||
\(184\) | −2.76070 | −0.203521 | ||||||||
\(185\) | 0.511893 | − | 0.886625i | 0.0376351 | − | 0.0651860i | ||||
\(186\) | −5.68744 | + | 6.91810i | −0.417023 | + | 0.507260i | ||||
\(187\) | 5.21769 | + | 9.03730i | 0.381555 | + | 0.660873i | ||||
\(188\) | −4.01754 | −0.293009 | ||||||||
\(189\) | 6.14150 | − | 12.2997i | 0.446729 | − | 0.894670i | ||||
\(190\) | 2.07760 | 0.150725 | ||||||||
\(191\) | 2.48383 | + | 4.30211i | 0.179723 | + | 0.311290i | 0.941786 | − | 0.336214i | \(-0.109146\pi\) |
−0.762062 | + | 0.647504i | \(0.775813\pi\) | |||||||
\(192\) | −10.5978 | + | 12.8909i | −0.764828 | + | 0.930322i | ||||
\(193\) | 7.45221 | − | 12.9076i | 0.536422 | − | 0.929110i | −0.462671 | − | 0.886530i | \(-0.653109\pi\) |
0.999093 | − | 0.0425800i | \(-0.0135577\pi\) | |||||||
\(194\) | 16.3681 | 1.17516 | ||||||||
\(195\) | −0.0499500 | − | 0.00829064i | −0.00357699 | − | 0.000593705i | ||||
\(196\) | 6.93183 | − | 13.8884i | 0.495131 | − | 0.992031i | ||||
\(197\) | −21.2608 | −1.51477 | −0.757386 | − | 0.652968i | \(-0.773524\pi\) | ||||
−0.757386 | + | 0.652968i | \(0.773524\pi\) | |||||||
\(198\) | −7.71944 | + | 6.74646i | −0.548597 | + | 0.479450i | ||||
\(199\) | −9.97208 | − | 17.2722i | −0.706902 | − | 1.22439i | −0.966001 | − | 0.258540i | \(-0.916759\pi\) |
0.259098 | − | 0.965851i | \(-0.416575\pi\) | |||||||
\(200\) | −2.22336 | −0.157215 | ||||||||
\(201\) | −3.76611 | − | 10.0323i | −0.265641 | − | 0.707625i | ||||
\(202\) | −15.2411 | − | 26.3984i | −1.07236 | − | 1.85739i | ||||
\(203\) | −11.5006 | − | 6.18264i | −0.807186 | − | 0.433936i | ||||
\(204\) | −15.2957 | + | 18.6055i | −1.07092 | + | 1.30264i | ||||
\(205\) | −0.169492 | − | 0.293568i | −0.0118378 | − | 0.0205037i | ||||
\(206\) | 0.209419 | + | 0.362724i | 0.0145909 | + | 0.0252722i | ||||
\(207\) | 3.58695 | + | 18.1953i | 0.249310 | + | 1.26466i | ||||
\(208\) | −0.351587 | + | 0.608967i | −0.0243782 | + | 0.0422243i | ||||
\(209\) | 5.75556 | − | 9.96893i | 0.398121 | − | 0.689565i | ||||
\(210\) | −0.184075 | + | 1.36395i | −0.0127024 | + | 0.0941215i | ||||
\(211\) | 11.7569 | + | 20.3636i | 0.809381 | + | 1.40189i | 0.913293 | + | 0.407303i | \(0.133531\pi\) |
−0.103912 | + | 0.994587i | \(0.533136\pi\) | |||||||
\(212\) | 11.8548 | 0.814193 | ||||||||
\(213\) | 1.40517 | − | 1.70923i | 0.0962808 | − | 0.117114i | ||||
\(214\) | −14.3116 | −0.978323 | ||||||||
\(215\) | 0.137616 | − | 0.238358i | 0.00938535 | − | 0.0162559i | ||||
\(216\) | −2.04370 | − | 1.09912i | −0.139056 | − | 0.0747860i | ||||
\(217\) | 5.86735 | + | 3.15424i | 0.398302 | + | 0.214123i | ||||
\(218\) | 6.83983 | − | 11.8469i | 0.463252 | − | 0.802376i | ||||
\(219\) | −2.66076 | − | 0.441629i | −0.179797 | − | 0.0298425i | ||||
\(220\) | 0.269819 | − | 0.467340i | 0.0181912 | − | 0.0315081i | ||||
\(221\) | −0.626768 | + | 1.08559i | −0.0421610 | + | 0.0730250i | ||||
\(222\) | 15.8133 | − | 19.2350i | 1.06132 | − | 1.29097i | ||||
\(223\) | 2.03052 | − | 3.51696i | 0.135974 | − | 0.235513i | −0.789995 | − | 0.613113i | \(-0.789917\pi\) |
0.925969 | + | 0.377600i | \(0.123250\pi\) | |||||||
\(224\) | 18.9166 | + | 10.1694i | 1.26392 | + | 0.679470i | ||||
\(225\) | 2.88879 | + | 14.6538i | 0.192586 | + | 0.976921i | ||||
\(226\) | −0.0396834 | + | 0.0687336i | −0.00263970 | + | 0.00457209i | ||||
\(227\) | −3.85285 | −0.255723 | −0.127861 | − | 0.991792i | \(-0.540811\pi\) | ||||
−0.127861 | + | 0.991792i | \(0.540811\pi\) | |||||||
\(228\) | 26.2101 | + | 4.35032i | 1.73581 | + | 0.288107i | ||||
\(229\) | 13.1162 | 0.866746 | 0.433373 | − | 0.901215i | \(-0.357323\pi\) | ||||
0.433373 | + | 0.901215i | \(0.357323\pi\) | |||||||
\(230\) | −0.928316 | − | 1.60789i | −0.0612113 | − | 0.106021i | ||||
\(231\) | 6.03468 | + | 4.66179i | 0.397053 | + | 0.306723i | ||||
\(232\) | −1.10197 | + | 1.90868i | −0.0723481 | + | 0.125311i | ||||
\(233\) | −8.75115 | + | 15.1574i | −0.573307 | + | 0.992997i | 0.422916 | + | 0.906169i | \(0.361007\pi\) |
−0.996223 | + | 0.0868284i | \(0.972327\pi\) | |||||||
\(234\) | −1.16548 | − | 0.397850i | −0.0761898 | − | 0.0260083i | ||||
\(235\) | −0.132482 | − | 0.229466i | −0.00864218 | − | 0.0149687i | ||||
\(236\) | 5.06798 | + | 8.77801i | 0.329898 | + | 0.571400i | ||||
\(237\) | −21.8638 | − | 3.62892i | −1.42020 | − | 0.235724i | ||||
\(238\) | 30.0117 | + | 16.1340i | 1.94537 | + | 1.04581i | ||||
\(239\) | 3.65857 | + | 6.33683i | 0.236653 | + | 0.409895i | 0.959752 | − | 0.280849i | \(-0.0906161\pi\) |
−0.723099 | + | 0.690745i | \(0.757283\pi\) | |||||||
\(240\) | −0.879049 | − | 0.145903i | −0.0567423 | − | 0.00941803i | ||||
\(241\) | 6.23107 | 0.401378 | 0.200689 | − | 0.979655i | \(-0.435682\pi\) | ||||
0.200689 | + | 0.979655i | \(0.435682\pi\) | |||||||
\(242\) | 8.45174 | + | 14.6389i | 0.543299 | + | 0.941021i | ||||
\(243\) | −4.58880 | + | 14.8977i | −0.294372 | + | 0.955691i | ||||
\(244\) | −1.50405 | −0.0962868 | ||||||||
\(245\) | 1.02184 | − | 0.0620661i | 0.0652827 | − | 0.00396526i | ||||
\(246\) | −2.89764 | − | 7.71886i | −0.184747 | − | 0.492137i | ||||
\(247\) | 1.38276 | 0.0879829 | ||||||||
\(248\) | 0.562201 | − | 0.973761i | 0.0356998 | − | 0.0618339i | ||||
\(249\) | −4.57383 | − | 12.1840i | −0.289855 | − | 0.772127i | ||||
\(250\) | −1.49847 | − | 2.59543i | −0.0947717 | − | 0.164149i | ||||
\(251\) | 5.65283 | 0.356803 | 0.178402 | − | 0.983958i | \(-0.442907\pi\) | ||||
0.178402 | + | 0.983958i | \(0.442907\pi\) | |||||||
\(252\) | −5.17821 | + | 16.8216i | −0.326196 | + | 1.05966i | ||||
\(253\) | −10.2868 | −0.646727 | ||||||||
\(254\) | −13.8404 | − | 23.9722i | −0.868422 | − | 1.50415i | ||||
\(255\) | −1.56706 | − | 0.260099i | −0.0981333 | − | 0.0162880i | ||||
\(256\) | −5.98801 | + | 10.3715i | −0.374250 | + | 0.648221i | ||||
\(257\) | 11.8016 | 0.736166 | 0.368083 | − | 0.929793i | \(-0.380014\pi\) | ||||
0.368083 | + | 0.929793i | \(0.380014\pi\) | |||||||
\(258\) | 4.25121 | − | 5.17110i | 0.264669 | − | 0.321939i | ||||
\(259\) | −16.3135 | − | 8.77001i | −1.01367 | − | 0.544942i | ||||
\(260\) | 0.0648233 | 0.00402017 | ||||||||
\(261\) | 14.0116 | + | 4.78301i | 0.867293 | + | 0.296061i | ||||
\(262\) | 20.3653 | + | 35.2737i | 1.25817 | + | 2.17922i | ||||
\(263\) | −22.2401 | −1.37138 | −0.685691 | − | 0.727893i | \(-0.740500\pi\) | ||||
−0.685691 | + | 0.727893i | \(0.740500\pi\) | |||||||
\(264\) | 0.817404 | − | 0.994275i | 0.0503077 | − | 0.0611934i | ||||
\(265\) | 0.390925 | + | 0.677101i | 0.0240143 | + | 0.0415940i | ||||
\(266\) | −1.13991 | − | 37.5689i | −0.0698925 | − | 2.30350i | ||||
\(267\) | −5.51988 | − | 14.7041i | −0.337811 | − | 0.899876i | ||||
\(268\) | 6.85953 | + | 11.8810i | 0.419012 | + | 0.725750i | ||||
\(269\) | −1.19442 | − | 2.06880i | −0.0728251 | − | 0.126137i | 0.827313 | − | 0.561741i | \(-0.189868\pi\) |
−0.900138 | + | 0.435604i | \(0.856535\pi\) | |||||||
\(270\) | −0.0470615 | − | 1.55989i | −0.00286407 | − | 0.0949316i | ||||
\(271\) | −11.6129 | + | 20.1142i | −0.705435 | + | 1.22185i | 0.261100 | + | 0.965312i | \(0.415915\pi\) |
−0.966534 | + | 0.256537i | \(0.917419\pi\) | |||||||
\(272\) | −11.0302 | + | 19.1049i | −0.668806 | + | 1.15841i | ||||
\(273\) | −0.122512 | + | 0.907785i | −0.00741478 | + | 0.0549417i | ||||
\(274\) | 6.61797 | + | 11.4627i | 0.399806 | + | 0.692484i | ||||
\(275\) | −8.28461 | −0.499581 | ||||||||
\(276\) | −8.34444 | − | 22.2283i | −0.502276 | − | 1.33798i | ||||
\(277\) | −4.61800 | −0.277469 | −0.138734 | − | 0.990330i | \(-0.544303\pi\) | ||||
−0.138734 | + | 0.990330i | \(0.544303\pi\) | |||||||
\(278\) | 12.8666 | − | 22.2857i | 0.771690 | − | 1.33661i | ||||
\(279\) | −7.14837 | − | 2.44018i | −0.427962 | − | 0.146090i | ||||
\(280\) | −0.00524055 | − | 0.172716i | −0.000313183 | − | 0.0103218i | ||||
\(281\) | 5.90841 | − | 10.2337i | 0.352466 | − | 0.610489i | −0.634215 | − | 0.773157i | \(-0.718676\pi\) |
0.986681 | + | 0.162668i | \(0.0520098\pi\) | |||||||
\(282\) | −2.26492 | − | 6.03340i | −0.134874 | − | 0.359284i | ||||
\(283\) | −7.92483 | + | 13.7262i | −0.471082 | + | 0.815939i | −0.999453 | − | 0.0330753i | \(-0.989470\pi\) |
0.528370 | + | 0.849014i | \(0.322803\pi\) | |||||||
\(284\) | −1.41639 | + | 2.45327i | −0.0840475 | + | 0.145575i | ||||
\(285\) | 0.615830 | + | 1.64047i | 0.0364786 | + | 0.0971733i | ||||
\(286\) | 0.341548 | − | 0.591579i | 0.0201962 | − | 0.0349808i | ||||
\(287\) | −5.21555 | + | 3.22596i | −0.307864 | + | 0.190422i | ||||
\(288\) | −23.0466 | − | 7.86723i | −1.35803 | − | 0.463581i | ||||
\(289\) | −11.1634 | + | 19.3355i | −0.656669 | + | 1.13738i | ||||
\(290\) | −1.48220 | −0.0870381 | ||||||||
\(291\) | 4.85174 | + | 12.9243i | 0.284414 | + | 0.757634i | ||||
\(292\) | 3.45304 | 0.202074 | ||||||||
\(293\) | 7.04804 | + | 12.2076i | 0.411751 | + | 0.713173i | 0.995081 | − | 0.0990615i | \(-0.0315841\pi\) |
−0.583330 | + | 0.812235i | \(0.698251\pi\) | |||||||
\(294\) | 24.7651 | + | 2.58024i | 1.44433 | + | 0.150483i | ||||
\(295\) | −0.334243 | + | 0.578927i | −0.0194604 | + | 0.0337064i | ||||
\(296\) | −1.56314 | + | 2.70744i | −0.0908557 | + | 0.157367i | ||||
\(297\) | −7.61515 | − | 4.09552i | −0.441876 | − | 0.237646i | ||||
\(298\) | −18.2438 | − | 31.5993i | −1.05684 | − | 1.83050i | ||||
\(299\) | −0.617846 | − | 1.07014i | −0.0357310 | − | 0.0618878i | ||||
\(300\) | −6.72029 | − | 17.9018i | −0.387996 | − | 1.03356i | ||||
\(301\) | −4.38569 | − | 2.35771i | −0.252787 | − | 0.135896i | ||||
\(302\) | −8.69307 | − | 15.0568i | −0.500230 | − | 0.866424i | ||||
\(303\) | 16.3265 | − | 19.8592i | 0.937932 | − | 1.14088i | ||||
\(304\) | 24.3346 | 1.39569 | ||||||||
\(305\) | −0.0495974 | − | 0.0859053i | −0.00283994 | − | 0.00491892i | ||||
\(306\) | −36.5642 | − | 12.4816i | −2.09024 | − | 0.713526i | ||||
\(307\) | 27.3916 | 1.56332 | 0.781660 | − | 0.623704i | \(-0.214373\pi\) | ||||
0.781660 | + | 0.623704i | \(0.214373\pi\) | |||||||
\(308\) | −8.59887 | − | 4.62267i | −0.489966 | − | 0.263401i | ||||
\(309\) | −0.224332 | + | 0.272873i | −0.0127618 | + | 0.0155232i | ||||
\(310\) | 0.756186 | 0.0429485 | ||||||||
\(311\) | 7.02785 | − | 12.1726i | 0.398513 | − | 0.690244i | −0.595030 | − | 0.803704i | \(-0.702860\pi\) |
0.993543 | + | 0.113459i | \(0.0361931\pi\) | |||||||
\(312\) | 0.152529 | + | 0.0253167i | 0.00863528 | + | 0.00143327i | ||||
\(313\) | −10.8723 | − | 18.8314i | −0.614540 | − | 1.06441i | −0.990465 | − | 0.137764i | \(-0.956008\pi\) |
0.375925 | − | 0.926650i | \(-0.377325\pi\) | |||||||
\(314\) | 11.7045 | 0.660520 | ||||||||
\(315\) | −1.13154 | + | 0.258948i | −0.0637549 | + | 0.0145901i | ||||
\(316\) | 28.3740 | 1.59616 | ||||||||
\(317\) | −4.28148 | − | 7.41575i | −0.240472 | − | 0.416510i | 0.720377 | − | 0.693583i | \(-0.243969\pi\) |
−0.960849 | + | 0.277073i | \(0.910636\pi\) | |||||||
\(318\) | 6.68328 | + | 17.8032i | 0.374780 | + | 0.998353i | ||||
\(319\) | −4.10614 | + | 7.11204i | −0.229900 | + | 0.398198i | ||||
\(320\) | 1.40905 | 0.0787682 | ||||||||
\(321\) | −4.24217 | − | 11.3005i | −0.236775 | − | 0.630730i | ||||
\(322\) | −28.5659 | + | 17.6688i | −1.59191 | + | 0.984642i | ||||
\(323\) | 43.3808 | 2.41377 | ||||||||
\(324\) | 2.67256 | − | 19.7774i | 0.148476 | − | 1.09874i | ||||
\(325\) | −0.497589 | − | 0.861850i | −0.0276013 | − | 0.0478068i | ||||
\(326\) | 4.36471 | 0.241739 | ||||||||
\(327\) | 11.3818 | + | 1.88913i | 0.629413 | + | 0.104469i | ||||
\(328\) | 0.517568 | + | 0.896453i | 0.0285779 | + | 0.0494984i | ||||
\(329\) | −4.07670 | + | 2.52155i | −0.224756 | + | 0.139018i | ||||
\(330\) | 0.853949 | + | 0.141737i | 0.0470083 | + | 0.00780239i | ||||
\(331\) | −5.42360 | − | 9.39396i | −0.298108 | − | 0.516339i | 0.677595 | − | 0.735435i | \(-0.263022\pi\) |
−0.975703 | + | 0.219097i | \(0.929689\pi\) | |||||||
\(332\) | 8.33070 | + | 14.4292i | 0.457207 | + | 0.791905i | ||||
\(333\) | 19.8753 | + | 6.78465i | 1.08916 | + | 0.371797i | ||||
\(334\) | −11.8849 | + | 20.5853i | −0.650314 | + | 1.12638i | ||||
\(335\) | −0.452399 | + | 0.783578i | −0.0247172 | + | 0.0428114i | ||||
\(336\) | −2.15604 | + | 15.9757i | −0.117622 | + | 0.871548i | ||||
\(337\) | 1.67411 | + | 2.89964i | 0.0911945 | + | 0.157954i | 0.908014 | − | 0.418940i | \(-0.137598\pi\) |
−0.816819 | + | 0.576893i | \(0.804265\pi\) | |||||||
\(338\) | −26.6153 | −1.44768 | ||||||||
\(339\) | −0.0660347 | − | 0.0109604i | −0.00358651 | − | 0.000595285i | ||||
\(340\) | 2.03368 | 0.110292 | ||||||||
\(341\) | 2.09486 | − | 3.62840i | 0.113443 | − | 0.196489i | ||||
\(342\) | 8.24304 | + | 41.8140i | 0.445732 | + | 2.26104i | ||||
\(343\) | −1.68298 | − | 18.4436i | −0.0908723 | − | 0.995863i | ||||
\(344\) | −0.420231 | + | 0.727861i | −0.0226573 | + | 0.0392437i | ||||
\(345\) | 0.994424 | − | 1.20960i | 0.0535380 | − | 0.0651226i | ||||
\(346\) | 16.3377 | − | 28.2977i | 0.878319 | − | 1.52129i | ||||
\(347\) | 5.76652 | − | 9.98790i | 0.309563 | − | 0.536178i | −0.668704 | − | 0.743529i | \(-0.733151\pi\) |
0.978267 | + | 0.207350i | \(0.0664840\pi\) | |||||||
\(348\) | −18.6988 | − | 3.10361i | −1.00236 | − | 0.166371i | ||||
\(349\) | −4.44917 | + | 7.70619i | −0.238159 | + | 0.412503i | −0.960186 | − | 0.279362i | \(-0.909877\pi\) |
0.722027 | + | 0.691865i | \(0.243211\pi\) | |||||||
\(350\) | −23.0058 | + | 14.2297i | −1.22971 | + | 0.760612i | ||||
\(351\) | −0.0313221 | − | 1.03819i | −0.00167185 | − | 0.0554145i | ||||
\(352\) | 6.75390 | − | 11.6981i | 0.359984 | − | 0.623511i | ||||
\(353\) | −2.64699 | −0.140885 | −0.0704424 | − | 0.997516i | \(-0.522441\pi\) | ||||
−0.0704424 | + | 0.997516i | \(0.522441\pi\) | |||||||
\(354\) | −10.3254 | + | 12.5596i | −0.548788 | + | 0.667536i | ||||
\(355\) | −0.186828 | −0.00991579 | ||||||||
\(356\) | 10.0538 | + | 17.4137i | 0.532852 | + | 0.922926i | ||||
\(357\) | −3.84353 | + | 28.4796i | −0.203421 | + | 1.50730i | ||||
\(358\) | 7.96127 | − | 13.7893i | 0.420766 | − | 0.728789i | ||||
\(359\) | −12.9835 | + | 22.4882i | −0.685245 | + | 1.18688i | 0.288114 | + | 0.957596i | \(0.406972\pi\) |
−0.973360 | + | 0.229284i | \(0.926362\pi\) | |||||||
\(360\) | 0.0378959 | + | 0.192232i | 0.00199729 | + | 0.0101315i | ||||
\(361\) | −14.4264 | − | 24.9873i | −0.759286 | − | 1.31512i | ||||
\(362\) | 12.4880 | + | 21.6299i | 0.656357 | + | 1.13684i | ||||
\(363\) | −9.05362 | + | 11.0127i | −0.475192 | + | 0.578014i | ||||
\(364\) | −0.0355664 | − | 1.17219i | −0.00186419 | − | 0.0614394i | ||||
\(365\) | 0.113867 | + | 0.197224i | 0.00596009 | + | 0.0103232i | ||||
\(366\) | −0.847922 | − | 2.25873i | −0.0443216 | − | 0.118066i | ||||
\(367\) | 17.5874 | 0.918056 | 0.459028 | − | 0.888422i | \(-0.348198\pi\) | ||||
0.459028 | + | 0.888422i | \(0.348198\pi\) | |||||||
\(368\) | −10.8732 | − | 18.8330i | −0.566806 | − | 0.981736i | ||||
\(369\) | 5.23591 | − | 4.57596i | 0.272570 | − | 0.238215i | ||||
\(370\) | −2.10249 | −0.109303 | ||||||||
\(371\) | 12.0294 | − | 7.44052i | 0.624536 | − | 0.386293i | ||||
\(372\) | 9.53971 | + | 1.58339i | 0.494611 | + | 0.0820950i | ||||
\(373\) | 0.815075 | 0.0422030 | 0.0211015 | − | 0.999777i | \(-0.493283\pi\) | ||||
0.0211015 | + | 0.999777i | \(0.493283\pi\) | |||||||
\(374\) | 10.7153 | − | 18.5594i | 0.554074 | − | 0.959684i | ||||
\(375\) | 1.60518 | − | 1.95251i | 0.0828912 | − | 0.100827i | ||||
\(376\) | 0.404553 | + | 0.700707i | 0.0208632 | + | 0.0361362i | ||||
\(377\) | −0.986490 | −0.0508068 | ||||||||
\(378\) | −28.1813 | + | 1.70686i | −1.44949 | + | 0.0877916i | ||||
\(379\) | −20.4312 | −1.04948 | −0.524741 | − | 0.851262i | \(-0.675838\pi\) | ||||
−0.524741 | + | 0.851262i | \(0.675838\pi\) | |||||||
\(380\) | −1.12166 | − | 1.94278i | −0.0575401 | − | 0.0996624i | ||||
\(381\) | 14.8260 | − | 18.0341i | 0.759558 | − | 0.923913i | ||||
\(382\) | 5.10090 | − | 8.83501i | 0.260985 | − | 0.452039i | ||||
\(383\) | 17.8928 | 0.914278 | 0.457139 | − | 0.889395i | \(-0.348874\pi\) | ||||
0.457139 | + | 0.889395i | \(0.348874\pi\) | |||||||
\(384\) | 6.06843 | + | 1.00723i | 0.309678 | + | 0.0514000i | ||||
\(385\) | −0.0195272 | − | 0.643571i | −0.000995196 | − | 0.0327994i | ||||
\(386\) | −30.6084 | −1.55793 | ||||||||
\(387\) | 5.34322 | + | 1.82397i | 0.271611 | + | 0.0927177i | ||||
\(388\) | −8.83688 | − | 15.3059i | −0.448625 | − | 0.777041i | ||||
\(389\) | 15.6278 | 0.792363 | 0.396181 | − | 0.918172i | \(-0.370335\pi\) | ||||
0.396181 | + | 0.918172i | \(0.370335\pi\) | |||||||
\(390\) | 0.0365448 | + | 0.0973495i | 0.00185052 | + | 0.00492948i | ||||
\(391\) | −19.3835 | − | 33.5731i | −0.980264 | − | 1.69787i | ||||
\(392\) | −3.12033 | + | 0.189528i | −0.157600 | + | 0.00957260i | ||||
\(393\) | −21.8156 | + | 26.5360i | −1.10045 | + | 1.33857i | ||||
\(394\) | 21.8311 | + | 37.8126i | 1.09984 | + | 1.90497i | ||||
\(395\) | 0.935661 | + | 1.62061i | 0.0470782 | + | 0.0815419i | ||||
\(396\) | 10.4763 | + | 3.57619i | 0.526451 | + | 0.179710i | ||||
\(397\) | 9.63064 | − | 16.6808i | 0.483348 | − | 0.837183i | −0.516469 | − | 0.856306i | \(-0.672754\pi\) |
0.999817 | + | 0.0191225i | \(0.00608724\pi\) | |||||||
\(398\) | −20.4791 | + | 35.4709i | −1.02653 | + | 1.77799i | ||||
\(399\) | 29.3265 | − | 12.0360i | 1.46816 | − | 0.602555i | ||||
\(400\) | −8.75687 | − | 15.1673i | −0.437843 | − | 0.758367i | ||||
\(401\) | 14.3013 | 0.714172 | 0.357086 | − | 0.934072i | \(-0.383770\pi\) | ||||
0.357086 | + | 0.934072i | \(0.383770\pi\) | |||||||
\(402\) | −13.9754 | + | 16.9995i | −0.697031 | + | 0.847856i | ||||
\(403\) | 0.503284 | 0.0250704 | ||||||||
\(404\) | −16.4569 | + | 28.5041i | −0.818760 | + | 1.41813i | ||||
\(405\) | 1.21774 | − | 0.499532i | 0.0605098 | − | 0.0248219i | ||||
\(406\) | 0.813237 | + | 26.8024i | 0.0403603 | + | 1.33018i | ||||
\(407\) | −5.82452 | + | 10.0884i | −0.288711 | + | 0.500062i | ||||
\(408\) | 4.78525 | + | 0.794251i | 0.236905 | + | 0.0393213i | ||||
\(409\) | −15.9305 | + | 27.5924i | −0.787712 | + | 1.36436i | 0.139654 | + | 0.990200i | \(0.455401\pi\) |
−0.927366 | + | 0.374156i | \(0.877932\pi\) | |||||||
\(410\) | −0.348076 | + | 0.602885i | −0.0171902 | + | 0.0297744i | ||||
\(411\) | −7.08925 | + | 8.62324i | −0.349687 | + | 0.425353i | ||||
\(412\) | 0.226124 | − | 0.391657i | 0.0111403 | − | 0.0192956i | ||||
\(413\) | 10.6520 | + | 5.72643i | 0.524151 | + | 0.281779i | ||||
\(414\) | 28.6774 | − | 25.0628i | 1.40942 | − | 1.23177i | ||||
\(415\) | −0.549426 | + | 0.951633i | −0.0269702 | + | 0.0467138i | ||||
\(416\) | 1.62261 | 0.0795549 | ||||||||
\(417\) | 21.4106 | + | 3.55371i | 1.04848 | + | 0.174026i | ||||
\(418\) | −23.6398 | −1.15626 | ||||||||
\(419\) | 11.9480 | + | 20.6945i | 0.583697 | + | 1.01099i | 0.995036 | + | 0.0995110i | \(0.0317278\pi\) |
−0.411339 | + | 0.911482i | \(0.634939\pi\) | |||||||
\(420\) | 1.37482 | − | 0.564245i | 0.0670842 | − | 0.0275323i | ||||
\(421\) | −1.22251 | + | 2.11744i | −0.0595813 | + | 0.103198i | −0.894278 | − | 0.447513i | \(-0.852310\pi\) |
0.834696 | + | 0.550711i | \(0.185643\pi\) | |||||||
\(422\) | 24.1446 | − | 41.8197i | 1.17534 | − | 2.03575i | ||||
\(423\) | 4.09261 | − | 3.57677i | 0.198990 | − | 0.173908i | ||||
\(424\) | −1.19375 | − | 2.06763i | −0.0579734 | − | 0.100413i | ||||
\(425\) | −15.6107 | − | 27.0385i | −0.757230 | − | 1.31156i | ||||
\(426\) | −4.48274 | − | 0.744039i | −0.217189 | − | 0.0360488i | ||||
\(427\) | −1.52620 | + | 0.943995i | −0.0738579 | + | 0.0456831i | ||||
\(428\) | 7.72661 | + | 13.3829i | 0.373480 | + | 0.646886i | ||||
\(429\) | 0.568350 | + | 0.0943341i | 0.0274402 | + | 0.00455449i | ||||
\(430\) | −0.565230 | −0.0272578 | ||||||||
\(431\) | 2.46382 | + | 4.26746i | 0.118678 | + | 0.205556i | 0.919244 | − | 0.393688i | \(-0.128801\pi\) |
−0.800566 | + | 0.599244i | \(0.795468\pi\) | |||||||
\(432\) | −0.551224 | − | 18.2707i | −0.0265208 | − | 0.879049i | ||||
\(433\) | 30.8539 | 1.48274 | 0.741371 | − | 0.671095i | \(-0.234176\pi\) | ||||
0.741371 | + | 0.671095i | \(0.234176\pi\) | |||||||
\(434\) | −0.414895 | − | 13.6740i | −0.0199156 | − | 0.656372i | ||||
\(435\) | −0.439346 | − | 1.17035i | −0.0210650 | − | 0.0561139i | ||||
\(436\) | −14.7709 | −0.707395 | ||||||||
\(437\) | −21.3817 | + | 37.0341i | −1.02282 | + | 1.77158i | ||||
\(438\) | 1.94668 | + | 5.18566i | 0.0930162 | + | 0.247780i | ||||
\(439\) | −1.22411 | − | 2.12022i | −0.0584235 | − | 0.101192i | 0.835334 | − | 0.549742i | \(-0.185274\pi\) |
−0.893758 | + | 0.448550i | \(0.851941\pi\) | |||||||
\(440\) | −0.108680 | −0.00518110 | ||||||||
\(441\) | 5.30336 | + | 20.3193i | 0.252541 | + | 0.967586i | ||||
\(442\) | 2.57432 | 0.122448 | ||||||||
\(443\) | 13.1475 | + | 22.7722i | 0.624657 | + | 1.08194i | 0.988607 | + | 0.150520i | \(0.0480946\pi\) |
−0.363950 | + | 0.931419i | \(0.618572\pi\) | |||||||
\(444\) | −26.5241 | − | 4.40244i | −1.25878 | − | 0.208931i | ||||
\(445\) | −0.663069 | + | 1.14847i | −0.0314325 | + | 0.0544427i | ||||
\(446\) | −8.33993 | −0.394907 | ||||||||
\(447\) | 19.5430 | − | 23.7718i | 0.924354 | − | 1.12437i | ||||
\(448\) | −0.773099 | − | 25.4796i | −0.0365255 | − | 1.20380i | ||||
\(449\) | −38.7077 | −1.82673 | −0.913365 | − | 0.407141i | \(-0.866526\pi\) | ||||
−0.913365 | + | 0.407141i | \(0.866526\pi\) | |||||||
\(450\) | 23.0957 | − | 20.1846i | 1.08874 | − | 0.951511i | ||||
\(451\) | 1.92854 | + | 3.34034i | 0.0908116 | + | 0.157290i | ||||
\(452\) | 0.0856976 | 0.00403087 | ||||||||
\(453\) | 9.31213 | − | 11.3271i | 0.437522 | − | 0.532194i | ||||
\(454\) | 3.95620 | + | 6.85233i | 0.185673 | + | 0.321596i | ||||
\(455\) | 0.0657779 | − | 0.0406855i | 0.00308372 | − | 0.00190736i | ||||
\(456\) | −1.88053 | − | 5.00943i | −0.0880638 | − | 0.234588i | ||||
\(457\) | 4.57756 | + | 7.92856i | 0.214129 | + | 0.370882i | 0.953003 | − | 0.302961i | \(-0.0979754\pi\) |
−0.738874 | + | 0.673844i | \(0.764642\pi\) | |||||||
\(458\) | −13.4681 | − | 23.3274i | −0.629321 | − | 1.09002i | ||||
\(459\) | −0.982656 | − | 32.5708i | −0.0458665 | − | 1.52027i | ||||
\(460\) | −1.00237 | + | 1.73615i | −0.0467355 | + | 0.0809483i | ||||
\(461\) | 14.6152 | − | 25.3143i | 0.680698 | − | 1.17900i | −0.294070 | − | 0.955784i | \(-0.595010\pi\) |
0.974768 | − | 0.223220i | \(-0.0716568\pi\) | |||||||
\(462\) | 2.09448 | − | 15.5196i | 0.0974439 | − | 0.722036i | ||||
\(463\) | −8.21031 | − | 14.2207i | −0.381565 | − | 0.660891i | 0.609721 | − | 0.792616i | \(-0.291282\pi\) |
−0.991286 | + | 0.131726i | \(0.957948\pi\) | |||||||
\(464\) | −17.3608 | −0.805956 | ||||||||
\(465\) | 0.224144 | + | 0.597084i | 0.0103944 | + | 0.0276891i | ||||
\(466\) | 35.9435 | 1.66505 | ||||||||
\(467\) | 7.68632 | − | 13.3131i | 0.355680 | − | 0.616057i | −0.631554 | − | 0.775332i | \(-0.717582\pi\) |
0.987234 | + | 0.159276i | \(0.0509158\pi\) | |||||||
\(468\) | 0.257191 | + | 1.30464i | 0.0118887 | + | 0.0603070i | ||||
\(469\) | 14.4175 | + | 7.75073i | 0.665739 | + | 0.357895i | ||||
\(470\) | −0.272071 | + | 0.471241i | −0.0125497 | + | 0.0217367i | ||||
\(471\) | 3.46936 | + | 9.24183i | 0.159860 | + | 0.425841i | ||||
\(472\) | 1.02066 | − | 1.76784i | 0.0469797 | − | 0.0813713i | ||||
\(473\) | −1.56585 | + | 2.71213i | −0.0719979 | + | 0.124704i | ||||
\(474\) | 15.9961 | + | 42.6112i | 0.734727 | + | 1.95720i | ||||
\(475\) | −17.2200 | + | 29.8259i | −0.790106 | + | 1.36850i | ||||
\(476\) | −1.11581 | − | 36.7747i | −0.0511432 | − | 1.68556i | ||||
\(477\) | −12.0764 | + | 10.5542i | −0.552939 | + | 0.483245i | ||||
\(478\) | 7.51341 | − | 13.0136i | 0.343655 | − | 0.595228i | ||||
\(479\) | −37.9291 | −1.73303 | −0.866513 | − | 0.499155i | \(-0.833644\pi\) | ||||
−0.866513 | + | 0.499155i | \(0.833644\pi\) | |||||||
\(480\) | 0.722649 | + | 1.92502i | 0.0329843 | + | 0.0878649i | ||||
\(481\) | −1.39933 | −0.0638038 | ||||||||
\(482\) | −6.39820 | − | 11.0820i | −0.291430 | − | 0.504772i | ||||
\(483\) | −22.4186 | − | 17.3183i | −1.02008 | − | 0.788011i | ||||
\(484\) | 9.12591 | − | 15.8065i | 0.414814 | − | 0.718479i | ||||
\(485\) | 0.582809 | − | 1.00946i | 0.0264640 | − | 0.0458370i | ||||
\(486\) | 31.2077 | − | 7.13612i | 1.41561 | − | 0.323701i | ||||
\(487\) | 2.30247 | + | 3.98800i | 0.104335 | + | 0.180714i | 0.913466 | − | 0.406914i | \(-0.133395\pi\) |
−0.809131 | + | 0.587628i | \(0.800062\pi\) | |||||||
\(488\) | 0.151453 | + | 0.262324i | 0.00685595 | + | 0.0118749i | ||||
\(489\) | 1.29376 | + | 3.44637i | 0.0585058 | + | 0.155850i | ||||
\(490\) | −1.15963 | − | 1.75361i | −0.0523867 | − | 0.0792202i | ||||
\(491\) | −15.1876 | − | 26.3056i | −0.685405 | − | 1.18716i | −0.973309 | − | 0.229497i | \(-0.926292\pi\) |
0.287904 | − | 0.957659i | \(-0.407042\pi\) | |||||||
\(492\) | −5.65356 | + | 6.87689i | −0.254882 | + | 0.310034i | ||||
\(493\) | −30.9488 | −1.39386 | ||||||||
\(494\) | −1.41985 | − | 2.45925i | −0.0638820 | − | 0.110647i | ||||
\(495\) | 0.141207 | + | 0.716290i | 0.00634676 | + | 0.0321949i | ||||
\(496\) | 8.85709 | 0.397695 | ||||||||
\(497\) | 0.102506 | + | 3.37837i | 0.00459804 | + | 0.151541i | ||||
\(498\) | −16.9728 | + | 20.6454i | −0.760568 | + | 0.925141i | ||||
\(499\) | 9.26871 | 0.414925 | 0.207462 | − | 0.978243i | \(-0.433480\pi\) | ||||
0.207462 | + | 0.978243i | \(0.433480\pi\) | |||||||
\(500\) | −1.61800 | + | 2.80246i | −0.0723592 | + | 0.125330i | ||||
\(501\) | −19.7770 | − | 3.28256i | −0.883571 | − | 0.146654i | ||||
\(502\) | −5.80445 | − | 10.0536i | −0.259065 | − | 0.448715i | ||||
\(503\) | −22.4230 | −0.999791 | −0.499896 | − | 0.866086i | \(-0.666628\pi\) | ||||
−0.499896 | + | 0.866086i | \(0.666628\pi\) | |||||||
\(504\) | 3.45531 | − | 0.790737i | 0.153912 | − | 0.0352222i | ||||
\(505\) | −2.17072 | −0.0965960 | ||||||||
\(506\) | 10.5627 | + | 18.2952i | 0.469571 | + | 0.813321i | ||||
\(507\) | −7.88916 | − | 21.0155i | −0.350370 | − | 0.933329i | ||||
\(508\) | −14.9444 | + | 25.8844i | −0.663050 | + | 1.14844i | ||||
\(509\) | −37.6414 | −1.66843 | −0.834213 | − | 0.551443i | \(-0.814077\pi\) | ||||
−0.834213 | + | 0.551443i | \(0.814077\pi\) | |||||||
\(510\) | 1.14651 | + | 3.05411i | 0.0507682 | + | 0.135238i | ||||
\(511\) | 3.50389 | − | 2.16725i | 0.155003 | − | 0.0958736i | ||||
\(512\) | 31.6976 | 1.40085 | ||||||||
\(513\) | −30.5730 | + | 18.9030i | −1.34983 | + | 0.834586i | ||||
\(514\) | −12.1182 | − | 20.9893i | −0.534511 | − | 0.925800i | ||||
\(515\) | 0.0298266 | 0.00131432 | ||||||||
\(516\) | −7.13069 | − | 1.18354i | −0.313911 | − | 0.0521026i | ||||
\(517\) | 1.50743 | + | 2.61095i | 0.0662969 | + | 0.114830i | ||||
\(518\) | 1.15357 | + | 38.0190i | 0.0506849 | + | 1.67046i | ||||
\(519\) | 27.1866 | + | 4.51240i | 1.19336 | + | 0.198072i | ||||
\(520\) | −0.00652751 | − | 0.0113060i | −0.000286250 | − | 0.000495800i | ||||
\(521\) | 17.4641 | + | 30.2488i | 0.765117 | + | 1.32522i | 0.940185 | + | 0.340666i | \(0.110652\pi\) |
−0.175067 | + | 0.984556i | \(0.556014\pi\) | |||||||
\(522\) | −5.88075 | − | 29.8310i | −0.257394 | − | 1.30567i | ||||
\(523\) | −11.8735 | + | 20.5656i | −0.519194 | + | 0.899270i | 0.480557 | + | 0.876963i | \(0.340434\pi\) |
−0.999751 | + | 0.0223069i | \(0.992899\pi\) | |||||||
\(524\) | 21.9898 | − | 38.0874i | 0.960628 | − | 1.66386i | ||||
\(525\) | −18.0551 | − | 13.9475i | −0.787987 | − | 0.608719i | ||||
\(526\) | 22.8366 | + | 39.5542i | 0.995723 | + | 1.72464i | ||||
\(527\) | 15.7894 | 0.687795 | ||||||||
\(528\) | 10.0022 | + | 1.66015i | 0.435288 | + | 0.0722486i | ||||
\(529\) | 15.2151 | 0.661526 | ||||||||
\(530\) | 0.802820 | − | 1.39053i | 0.0348723 | − | 0.0604006i | ||||
\(531\) | −12.9777 | − | 4.43008i | −0.563182 | − | 0.192249i | ||||
\(532\) | −34.5155 | + | 21.3488i | −1.49644 | + | 0.925587i | ||||
\(533\) | −0.231664 | + | 0.401254i | −0.0100345 | + | 0.0173802i | ||||
\(534\) | −20.4834 | + | 24.9157i | −0.886404 | + | 1.07821i | ||||
\(535\) | −0.509585 | + | 0.882627i | −0.0220313 | + | 0.0381593i | ||||
\(536\) | 1.38147 | − | 2.39277i | 0.0596702 | − | 0.103352i | ||||
\(537\) | 13.2479 | + | 2.19887i | 0.571688 | + | 0.0948882i | ||||
\(538\) | −2.45292 | + | 4.24857i | −0.105753 | + | 0.183169i | ||||
\(539\) | −11.6269 | + | 0.706212i | −0.500804 | + | 0.0304187i | ||||
\(540\) | −1.43325 | + | 0.886164i | −0.0616773 | + | 0.0381344i | ||||
\(541\) | 8.58542 | − | 14.8704i | 0.369116 | − | 0.639328i | −0.620311 | − | 0.784356i | \(-0.712994\pi\) |
0.989428 | + | 0.145028i | \(0.0463271\pi\) | |||||||
\(542\) | 47.6976 | 2.04879 | ||||||||
\(543\) | −13.3774 | + | 16.2720i | −0.574077 | + | 0.698297i | ||||
\(544\) | 50.9055 | 2.18255 | ||||||||
\(545\) | −0.487083 | − | 0.843653i | −0.0208643 | − | 0.0361381i | ||||
\(546\) | 1.74030 | − | 0.714245i | 0.0744781 | − | 0.0305669i | ||||
\(547\) | −10.0046 | + | 17.3284i | −0.427765 | + | 0.740910i | −0.996674 | − | 0.0814901i | \(-0.974032\pi\) |
0.568910 | + | 0.822400i | \(0.307365\pi\) | |||||||
\(548\) | 7.14586 | − | 12.3770i | 0.305256 | − | 0.528719i | ||||
\(549\) | 1.53215 | − | 1.33904i | 0.0653908 | − | 0.0571487i | ||||
\(550\) | 8.50683 | + | 14.7343i | 0.362732 | + | 0.628271i | ||||
\(551\) | 17.0696 | + | 29.5654i | 0.727190 | + | 1.25953i | ||||
\(552\) | −3.03662 | + | 3.69369i | −0.129247 | + | 0.157214i | ||||
\(553\) | 28.7919 | − | 17.8086i | 1.22436 | − | 0.757297i | ||||
\(554\) | 4.74187 | + | 8.21316i | 0.201463 | + | 0.348944i | ||||
\(555\) | −0.623209 | − | 1.66013i | −0.0264537 | − | 0.0704685i | ||||
\(556\) | −27.7860 | −1.17839 | ||||||||
\(557\) | −0.122740 | − | 0.212593i | −0.00520068 | − | 0.00900784i | 0.863413 | − | 0.504497i | \(-0.168322\pi\) |
−0.868614 | + | 0.495489i | \(0.834989\pi\) | |||||||
\(558\) | 3.00022 | + | 15.2191i | 0.127010 | + | 0.644274i | ||||
\(559\) | −0.376192 | −0.0159112 | ||||||||
\(560\) | 1.15760 | − | 0.716007i | 0.0489175 | − | 0.0302568i | ||||
\(561\) | 17.8307 | + | 2.95951i | 0.752811 | + | 0.124951i | ||||
\(562\) | −24.2676 | −1.02367 | ||||||||
\(563\) | 22.1255 | − | 38.3224i | 0.932477 | − | 1.61510i | 0.153404 | − | 0.988164i | \(-0.450976\pi\) |
0.779073 | − | 0.626934i | \(-0.215690\pi\) | |||||||
\(564\) | −4.41907 | + | 5.37528i | −0.186076 | + | 0.226340i | ||||
\(565\) | 0.00282596 | + | 0.00489471i | 0.000118889 | + | 0.000205922i | ||||
\(566\) | 32.5496 | 1.36816 | ||||||||
\(567\) | −9.70107 | − | 21.7460i | −0.407407 | − | 0.913247i | ||||
\(568\) | 0.570506 | 0.0239379 | ||||||||
\(569\) | 2.76767 | + | 4.79374i | 0.116027 | + | 0.200964i | 0.918190 | − | 0.396141i | \(-0.129651\pi\) |
−0.802163 | + | 0.597105i | \(0.796318\pi\) | |||||||
\(570\) | 2.28525 | − | 2.77974i | 0.0957185 | − | 0.116430i | ||||
\(571\) | 2.05191 | − | 3.55400i | 0.0858696 | − | 0.148730i | −0.819892 | − | 0.572518i | \(-0.805966\pi\) |
0.905761 | + | 0.423788i | \(0.139300\pi\) | |||||||
\(572\) | −0.737585 | −0.0308400 | ||||||||
\(573\) | 8.48810 | + | 1.40884i | 0.354595 | + | 0.0588553i | ||||
\(574\) | 11.0928 | + | 5.96341i | 0.463006 | + | 0.248908i | ||||
\(575\) | 30.7770 | 1.28349 | ||||||||
\(576\) | 5.59050 | + | 28.3586i | 0.232938 | + | 1.18161i | ||||
\(577\) | −2.82275 | − | 4.88915i | −0.117513 | − | 0.203538i | 0.801269 | − | 0.598305i | \(-0.204159\pi\) |
−0.918781 | + | 0.394767i | \(0.870825\pi\) | |||||||
\(578\) | 45.8512 | 1.90716 | ||||||||
\(579\) | −9.07276 | − | 24.1684i | −0.377051 | − | 1.00440i | ||||
\(580\) | 0.800218 | + | 1.38602i | 0.0332272 | + | 0.0575513i | ||||
\(581\) | 17.5097 | + | 9.41304i | 0.726423 | + | 0.390519i | ||||
\(582\) | 18.0040 | − | 21.8998i | 0.746292 | − | 0.907776i | ||||
\(583\) | −4.44809 | − | 7.70433i | −0.184221 | − | 0.319081i | ||||
\(584\) | −0.347710 | − | 0.602252i | −0.0143884 | − | 0.0249214i | ||||
\(585\) | −0.0660347 | + | 0.0577115i | −0.00273020 | + | 0.00238608i | ||||
\(586\) | 14.4742 | − | 25.0700i | 0.597923 | − | 1.03563i | ||||
\(587\) | 9.36644 | − | 16.2232i | 0.386595 | − | 0.669601i | −0.605394 | − | 0.795926i | \(-0.706985\pi\) |
0.991989 | + | 0.126324i | \(0.0403180\pi\) | |||||||
\(588\) | −10.9575 | − | 24.5510i | −0.451878 | − | 1.01247i | ||||
\(589\) | −8.70852 | − | 15.0836i | −0.358828 | − | 0.621509i | ||||
\(590\) | 1.37283 | 0.0565187 | ||||||||
\(591\) | −23.3858 | + | 28.4460i | −0.961962 | + | 1.17011i | ||||
\(592\) | −24.6262 | −1.01213 | ||||||||
\(593\) | −9.43516 | + | 16.3422i | −0.387456 | + | 0.671093i | −0.992107 | − | 0.125398i | \(-0.959979\pi\) |
0.604651 | + | 0.796491i | \(0.293313\pi\) | |||||||
\(594\) | 0.535484 | + | 17.7490i | 0.0219712 | + | 0.728250i | ||||
\(595\) | 2.06363 | − | 1.27641i | 0.0846005 | − | 0.0523277i | ||||
\(596\) | −19.6991 | + | 34.1198i | −0.806906 | + | 1.39760i | ||||
\(597\) | −34.0781 | − | 5.65624i | −1.39472 | − | 0.231495i | ||||
\(598\) | −1.26884 | + | 2.19769i | −0.0518866 | + | 0.0898702i | ||||
\(599\) | −1.33726 | + | 2.31620i | −0.0546388 | + | 0.0946372i | −0.892051 | − | 0.451934i | \(-0.850734\pi\) |
0.837412 | + | 0.546572i | \(0.184067\pi\) | |||||||
\(600\) | −2.44558 | + | 2.97475i | −0.0998402 | + | 0.121444i | ||||
\(601\) | −6.60716 | + | 11.4439i | −0.269511 | + | 0.466808i | −0.968736 | − | 0.248095i | \(-0.920196\pi\) |
0.699224 | + | 0.714902i | \(0.253529\pi\) | |||||||
\(602\) | 0.310123 | + | 10.2209i | 0.0126397 | + | 0.416575i | ||||
\(603\) | −17.5653 | − | 5.99612i | −0.715313 | − | 0.244181i | ||||
\(604\) | −9.38650 | + | 16.2579i | −0.381931 | + | 0.661524i | ||||
\(605\) | 1.20374 | 0.0489391 | ||||||||
\(606\) | −52.0843 | − | 8.64488i | −2.11578 | − | 0.351174i | ||||
\(607\) | 25.8052 | 1.04740 | 0.523701 | − | 0.851902i | \(-0.324551\pi\) | ||||
0.523701 | + | 0.851902i | \(0.324551\pi\) | |||||||
\(608\) | −28.0766 | − | 48.6301i | −1.13866 | − | 1.97221i | ||||
\(609\) | −20.9221 | + | 8.58675i | −0.847808 | + | 0.347953i | ||||
\(610\) | −0.101856 | + | 0.176419i | −0.00412401 | + | 0.00714299i | ||||
\(611\) | −0.181079 | + | 0.313637i | −0.00732565 | + | 0.0126884i | ||||
\(612\) | 8.06877 | + | 40.9300i | 0.326161 | + | 1.65450i | ||||
\(613\) | 13.4766 | + | 23.3422i | 0.544316 | + | 0.942784i | 0.998650 | + | 0.0519519i | \(0.0165443\pi\) |
−0.454333 | + | 0.890832i | \(0.650122\pi\) | |||||||
\(614\) | −28.1263 | − | 48.7162i | −1.13509 | − | 1.96603i | ||||
\(615\) | −0.579212 | − | 0.0961370i | −0.0233561 | − | 0.00387662i | ||||
\(616\) | 0.0596290 | + | 1.96524i | 0.00240252 | + | 0.0791816i | ||||
\(617\) | −4.76588 | − | 8.25474i | −0.191867 | − | 0.332323i | 0.754002 | − | 0.656872i | \(-0.228121\pi\) |
−0.945869 | + | 0.324549i | \(0.894788\pi\) | |||||||
\(618\) | 0.715657 | + | 0.118784i | 0.0287880 | + | 0.00477819i | ||||
\(619\) | 34.7071 | 1.39500 | 0.697499 | − | 0.716586i | \(-0.254296\pi\) | ||||
0.697499 | + | 0.716586i | \(0.254296\pi\) | |||||||
\(620\) | −0.408253 | − | 0.707114i | −0.0163958 | − | 0.0283984i | ||||
\(621\) | 28.2899 | + | 15.2147i | 1.13524 | + | 0.610544i | ||||
\(622\) | −28.8654 | −1.15740 | ||||||||
\(623\) | 21.1314 | + | 11.3600i | 0.846610 | + | 0.455130i | ||||
\(624\) | 0.428043 | + | 1.14024i | 0.0171354 | + | 0.0456461i | ||||
\(625\) | 24.6796 | 0.987186 | ||||||||
\(626\) | −22.3279 | + | 38.6730i | −0.892402 | + | 1.54568i | ||||
\(627\) | −7.00716 | − | 18.6660i | −0.279839 | − | 0.745447i | ||||
\(628\) | −6.31904 | − | 10.9449i | −0.252157 | − | 0.436749i | ||||
\(629\) | −43.9006 | −1.75043 | ||||||||
\(630\) | 1.62243 | + | 1.74656i | 0.0646392 | + | 0.0695844i | ||||
\(631\) | −36.7963 | −1.46484 | −0.732419 | − | 0.680854i | \(-0.761609\pi\) | ||||
−0.732419 | + | 0.680854i | \(0.761609\pi\) | |||||||
\(632\) | −2.85718 | − | 4.94877i | −0.113652 | − | 0.196852i | ||||
\(633\) | 40.1776 | + | 6.66863i | 1.59692 | + | 0.265054i | ||||
\(634\) | −8.79265 | + | 15.2293i | −0.349201 | + | 0.604833i | ||||
\(635\) | −1.97122 | −0.0782256 | ||||||||
\(636\) | 13.0397 | − | 15.8612i | 0.517057 | − | 0.628938i | ||||
\(637\) | −0.771798 | − | 1.16713i | −0.0305798 | − | 0.0462433i | ||||
\(638\) | 16.8651 | 0.667696 | ||||||||
\(639\) | −0.741253 | − | 3.76011i | −0.0293235 | − | 0.148748i | ||||
\(640\) | −0.259699 | − | 0.449811i | −0.0102655 | − | 0.0177804i | ||||
\(641\) | −44.1844 | −1.74518 | −0.872590 | − | 0.488454i | \(-0.837561\pi\) | ||||
−0.872590 | + | 0.488454i | \(0.837561\pi\) | |||||||
\(642\) | −15.7420 | + | 19.1483i | −0.621288 | + | 0.755723i | ||||
\(643\) | 7.24065 | + | 12.5412i | 0.285543 | + | 0.494575i | 0.972741 | − | 0.231895i | \(-0.0744926\pi\) |
−0.687197 | + | 0.726471i | \(0.741159\pi\) | |||||||
\(644\) | 31.9444 | + | 17.1730i | 1.25879 | + | 0.676712i | ||||
\(645\) | −0.167542 | − | 0.446305i | −0.00659696 | − | 0.0175732i | ||||
\(646\) | −44.5444 | − | 77.1532i | −1.75258 | − | 3.03555i | ||||
\(647\) | −16.6536 | − | 28.8448i | −0.654719 | − | 1.13401i | −0.981964 | − | 0.189068i | \(-0.939453\pi\) |
0.327245 | − | 0.944940i | \(-0.393880\pi\) | |||||||
\(648\) | −3.71853 | + | 1.52539i | −0.146078 | + | 0.0599231i | ||||
\(649\) | 3.80315 | − | 6.58725i | 0.149287 | − | 0.258572i | ||||
\(650\) | −1.02187 | + | 1.76993i | −0.0400811 | + | 0.0694225i | ||||
\(651\) | 10.6740 | − | 4.38076i | 0.418347 | − | 0.171696i | ||||
\(652\) | −2.35643 | − | 4.08146i | −0.0922850 | − | 0.159842i | ||||
\(653\) | −9.06643 | −0.354797 | −0.177398 | − | 0.984139i | \(-0.556768\pi\) | ||||
−0.177398 | + | 0.984139i | \(0.556768\pi\) | |||||||
\(654\) | −8.32721 | − | 22.1824i | −0.325620 | − | 0.867399i | ||||
\(655\) | 2.90054 | 0.113333 | ||||||||
\(656\) | −4.07696 | + | 7.06150i | −0.159178 | + | 0.275705i | ||||
\(657\) | −3.51757 | + | 3.07420i | −0.137233 | + | 0.119936i | ||||
\(658\) | 8.67065 | + | 4.66126i | 0.338017 | + | 0.181715i | ||||
\(659\) | 16.1806 | − | 28.0256i | 0.630305 | − | 1.09172i | −0.357184 | − | 0.934034i | \(-0.616263\pi\) |
0.987489 | − | 0.157686i | \(-0.0504035\pi\) | |||||||
\(660\) | −0.328493 | − | 0.875054i | −0.0127866 | − | 0.0340614i | ||||
\(661\) | 4.32958 | − | 7.49905i | 0.168401 | − | 0.291679i | −0.769457 | − | 0.638699i | \(-0.779473\pi\) |
0.937858 | + | 0.347020i | \(0.112806\pi\) | |||||||
\(662\) | −11.1382 | + | 19.2919i | −0.432897 | + | 0.749799i | ||||
\(663\) | 0.763064 | + | 2.03268i | 0.0296349 | + | 0.0789428i | ||||
\(664\) | 1.67775 | − | 2.90595i | 0.0651094 | − | 0.112773i | ||||
\(665\) | −2.35754 | − | 1.26739i | −0.0914214 | − | 0.0491473i | ||||
\(666\) | −8.34179 | − | 42.3150i | −0.323238 | − | 1.63967i | ||||
\(667\) | 15.2541 | − | 26.4209i | 0.590642 | − | 1.02302i | ||||
\(668\) | 25.6659 | 0.993043 | ||||||||
\(669\) | −2.47207 | − | 6.58520i | −0.0955758 | − | 0.254599i | ||||
\(670\) | 1.85813 | 0.0717860 | ||||||||
\(671\) | 0.564339 | + | 0.977464i | 0.0217861 | + | 0.0377346i | ||||
\(672\) | 34.4134 | − | 14.1237i | 1.32752 | − | 0.544835i | ||||
\(673\) | 7.24842 | − | 12.5546i | 0.279406 | − | 0.483946i | −0.691831 | − | 0.722059i | \(-0.743196\pi\) |
0.971237 | + | 0.238114i | \(0.0765291\pi\) | |||||||
\(674\) | 3.43803 | − | 5.95484i | 0.132428 | − | 0.229372i | ||||
\(675\) | 22.7836 | + | 12.2533i | 0.876942 | + | 0.471631i | ||||
\(676\) | 14.3692 | + | 24.8881i | 0.552661 | + | 0.957236i | ||||
\(677\) | −19.1657 | − | 33.1960i | −0.736600 | − | 1.27583i | −0.954018 | − | 0.299749i | \(-0.903097\pi\) |
0.217418 | − | 0.976078i | \(-0.430236\pi\) | |||||||
\(678\) | 0.0483128 | + | 0.128698i | 0.00185544 | + | 0.00494260i | ||||
\(679\) | −18.5736 | − | 9.98498i | −0.712788 | − | 0.383188i | ||||
\(680\) | −0.204785 | − | 0.354698i | −0.00785315 | − | 0.0136021i | ||||
\(681\) | −4.23793 | + | 5.15494i | −0.162398 | + | 0.197538i | ||||
\(682\) | −8.60418 | −0.329471 | ||||||||
\(683\) | −3.31659 | − | 5.74450i | −0.126906 | − | 0.219807i | 0.795570 | − | 0.605861i | \(-0.207171\pi\) |
−0.922476 | + | 0.386054i | \(0.873838\pi\) | |||||||
\(684\) | 34.6502 | − | 30.2828i | 1.32488 | − | 1.15789i | ||||
\(685\) | 0.942567 | 0.0360136 | ||||||||
\(686\) | −31.0740 | + | 21.9315i | −1.18641 | + | 0.837350i | ||||
\(687\) | 14.4272 | − | 17.5489i | 0.550430 | − | 0.669534i | ||||
\(688\) | −6.62044 | −0.252402 | ||||||||
\(689\) | 0.534322 | − | 0.925472i | 0.0203560 | − | 0.0352577i | ||||
\(690\) | −3.17238 | − | 0.526548i | −0.120770 | − | 0.0200453i | ||||
\(691\) | 11.6938 | + | 20.2542i | 0.444852 | + | 0.770506i | 0.998042 | − | 0.0625490i | \(-0.0199230\pi\) |
−0.553190 | + | 0.833055i | \(0.686590\pi\) | |||||||
\(692\) | −35.2818 | −1.34121 | ||||||||
\(693\) | 12.8751 | − | 2.94642i | 0.489084 | − | 0.111925i | ||||
\(694\) | −23.6848 | −0.899061 | ||||||||
\(695\) | −0.916269 | − | 1.58702i | −0.0347561 | − | 0.0601992i | ||||
\(696\) | 1.34161 | + | 3.57383i | 0.0508535 | + | 0.135466i | ||||
\(697\) | −7.26791 | + | 12.5884i | −0.275292 | + | 0.476819i | ||||
\(698\) | 18.2740 | 0.691683 | ||||||||
\(699\) | 10.6542 | + | 28.3810i | 0.402978 | + | 1.07347i | ||||
\(700\) | 25.7268 | + | 13.8305i | 0.972381 | + | 0.522743i | ||||
\(701\) | 9.26736 | 0.350023 | 0.175012 | − | 0.984566i | \(-0.444004\pi\) | ||||
0.175012 | + | 0.984566i | \(0.444004\pi\) | |||||||
\(702\) | −1.81427 | + | 1.12174i | −0.0684752 | + | 0.0423375i | ||||
\(703\) | 24.2131 | + | 41.9383i | 0.913214 | + | 1.58173i | ||||
\(704\) | −16.0327 | −0.604256 | ||||||||
\(705\) | −0.452738 | − | 0.0751449i | −0.0170511 | − | 0.00283012i | ||||
\(706\) | 2.71799 | + | 4.70769i | 0.102293 | + | 0.177176i | ||||
\(707\) | 1.19101 | + | 39.2528i | 0.0447924 | + | 1.47625i | ||||
\(708\) | 17.3191 | + | 2.87460i | 0.650891 | + | 0.108034i | ||||
\(709\) | −7.11775 | − | 12.3283i | −0.267313 | − | 0.462999i | 0.700854 | − | 0.713305i | \(-0.252802\pi\) |
−0.968167 | + | 0.250305i | \(0.919469\pi\) | |||||||
\(710\) | 0.191839 | + | 0.332275i | 0.00719959 | + | 0.0124701i | ||||
\(711\) | −28.9043 | + | 25.2611i | −1.08399 | + | 0.947365i | ||||
\(712\) | 2.02478 | − | 3.50702i | 0.0758817 | − | 0.131431i | ||||
\(713\) | −7.78230 | + | 13.4793i | −0.291449 | + | 0.504805i | ||||
\(714\) | 54.5979 | − | 22.4078i | 2.04327 | − | 0.838589i | ||||
\(715\) | −0.0243226 | − | 0.0421280i | −0.000909613 | − | 0.00157550i | ||||
\(716\) | −17.1926 | −0.642519 | ||||||||
\(717\) | 12.5026 | + | 2.07517i | 0.466919 | + | 0.0774986i | ||||
\(718\) | 53.3272 | 1.99015 | ||||||||
\(719\) | 6.92848 | − | 12.0005i | 0.258389 | − | 0.447542i | −0.707422 | − | 0.706792i | \(-0.750142\pi\) |
0.965810 | + | 0.259249i | \(0.0834752\pi\) | |||||||
\(720\) | −1.16212 | + | 1.01564i | −0.0433096 | + | 0.0378507i | ||||
\(721\) | −0.0163649 | − | 0.539348i | −0.000609459 | − | 0.0200864i | ||||
\(722\) | −29.6268 | + | 51.3151i | −1.10259 | + | 1.90975i | ||||
\(723\) | 6.85383 | − | 8.33688i | 0.254897 | − | 0.310052i | ||||
\(724\) | 13.4842 | − | 23.3553i | 0.501136 | − | 0.867993i | ||||
\(725\) | 12.2851 | − | 21.2784i | 0.456257 | − | 0.790260i | ||||
\(726\) | 28.8826 | + | 4.79389i | 1.07193 | + | 0.177918i | ||||
\(727\) | 15.7000 | − | 27.1932i | 0.582280 | − | 1.00854i | −0.412928 | − | 0.910764i | \(-0.635494\pi\) |
0.995208 | − | 0.0977755i | \(-0.0311727\pi\) | |||||||
\(728\) | −0.200862 | + | 0.124239i | −0.00744446 | + | 0.00460460i | ||||
\(729\) | 14.8851 | + | 22.5263i | 0.551299 | + | 0.834308i | ||||
\(730\) | 0.233843 | − | 0.405028i | 0.00865492 | − | 0.0149908i | ||||
\(731\) | −11.8021 | −0.436518 | ||||||||
\(732\) | −1.65437 | + | 2.01235i | −0.0611473 | + | 0.0743785i | ||||
\(733\) | −26.6006 | −0.982515 | −0.491257 | − | 0.871014i | \(-0.663463\pi\) | ||||
−0.491257 | + | 0.871014i | \(0.663463\pi\) | |||||||
\(734\) | −18.0592 | − | 31.2794i | −0.666576 | − | 1.15454i | ||||
\(735\) | 1.04092 | − | 1.43544i | 0.0383950 | − | 0.0529470i | ||||
\(736\) | −25.0904 | + | 43.4579i | −0.924845 | + | 1.60188i | ||||
\(737\) | 5.14757 | − | 8.91586i | 0.189613 | − | 0.328420i | ||||
\(738\) | −13.5147 | − | 4.61341i | −0.497484 | − | 0.169822i | ||||
\(739\) | 16.5019 | + | 28.5822i | 0.607034 | + | 1.05141i | 0.991727 | + | 0.128368i | \(0.0409740\pi\) |
−0.384693 | + | 0.923045i | \(0.625693\pi\) | |||||||
\(740\) | 1.13510 | + | 1.96605i | 0.0417272 | + | 0.0722736i | ||||
\(741\) | 1.52096 | − | 1.85007i | 0.0558739 | − | 0.0679640i | ||||
\(742\) | −25.5851 | − | 13.7543i | −0.939259 | − | 0.504937i | ||||
\(743\) | 19.3008 | + | 33.4299i | 0.708076 | + | 1.22642i | 0.965570 | + | 0.260144i | \(0.0837701\pi\) |
−0.257493 | + | 0.966280i | \(0.582897\pi\) | |||||||
\(744\) | −0.684457 | − | 1.82328i | −0.0250934 | − | 0.0668448i | ||||
\(745\) | −2.59839 | −0.0951975 | ||||||||
\(746\) | −0.836938 | − | 1.44962i | −0.0306425 | − | 0.0530743i | ||||
\(747\) | −21.3325 | − | 7.28211i | −0.780517 | − | 0.266439i | ||||
\(748\) | −23.1400 | −0.846082 | ||||||||
\(749\) | 16.2400 | + | 8.73047i | 0.593396 | + | 0.319004i | ||||
\(750\) | −5.12080 | − | 0.849945i | −0.186985 | − | 0.0310356i | ||||
\(751\) | −37.8996 | −1.38297 | −0.691487 | − | 0.722389i | \(-0.743044\pi\) | ||||
−0.691487 | + | 0.722389i | \(0.743044\pi\) | |||||||
\(752\) | −3.18673 | + | 5.51957i | −0.116208 | + | 0.201278i | ||||
\(753\) | 6.21780 | − | 7.56323i | 0.226589 | − | 0.275619i | ||||
\(754\) | 1.01295 | + | 1.75448i | 0.0368895 | + | 0.0638944i | ||||
\(755\) | −1.23811 | −0.0450596 | ||||||||
\(756\) | 16.8107 | + | 25.4310i | 0.611400 | + | 0.924916i | ||||
\(757\) | 22.5927 | 0.821147 | 0.410573 | − | 0.911828i | \(-0.365329\pi\) | ||||
0.410573 | + | 0.911828i | \(0.365329\pi\) | |||||||
\(758\) | 20.9793 | + | 36.3371i | 0.762001 | + | 1.31982i | ||||
\(759\) | −11.3149 | + | 13.7633i | −0.410707 | + | 0.499576i | ||||
\(760\) | −0.225896 | + | 0.391263i | −0.00819411 | + | 0.0141926i | ||||
\(761\) | 27.7470 | 1.00583 | 0.502913 | − | 0.864337i | \(-0.332261\pi\) | ||||
0.502913 | + | 0.864337i | \(0.332261\pi\) | |||||||
\(762\) | −47.2974 | − | 7.85037i | −1.71340 | − | 0.284389i | ||||
\(763\) | −14.9884 | + | 9.27072i | −0.542616 | + | 0.335623i | ||||
\(764\) | −11.0156 | −0.398529 | ||||||||
\(765\) | −2.07168 | + | 1.81056i | −0.0749019 | + | 0.0654610i | ||||
\(766\) | −18.3727 | − | 31.8224i | −0.663832 | − | 1.14979i | ||||
\(767\) | 0.913698 | 0.0329917 | ||||||||
\(768\) | 7.29015 | + | 19.4198i | 0.263061 | + | 0.700751i | ||||
\(769\) | −6.07668 | − | 10.5251i | −0.219131 | − | 0.379546i | 0.735412 | − | 0.677621i | \(-0.236989\pi\) |
−0.954542 | + | 0.298075i | \(0.903655\pi\) | |||||||
\(770\) | −1.12454 | + | 0.695562i | −0.0405258 | + | 0.0250663i | ||||
\(771\) | 12.9812 | − | 15.7901i | 0.467505 | − | 0.568665i | ||||
\(772\) | 16.5250 | + | 28.6221i | 0.594747 | + | 1.03013i | ||||
\(773\) | −20.7795 | − | 35.9912i | −0.747388 | − | 1.29451i | −0.949071 | − | 0.315063i | \(-0.897974\pi\) |
0.201682 | − | 0.979451i | \(-0.435359\pi\) | |||||||
\(774\) | −2.24259 | − | 11.3759i | −0.0806082 | − | 0.408897i | ||||
\(775\) | −6.26756 | + | 10.8557i | −0.225137 | + | 0.389950i | ||||
\(776\) | −1.77969 | + | 3.08252i | −0.0638873 | + | 0.110656i | ||||
\(777\) | −29.6779 | + | 12.1802i | −1.06469 | + | 0.436963i | ||||
\(778\) | −16.0470 | − | 27.7942i | −0.575313 | − | 0.996472i | ||||
\(779\) | 16.0343 | 0.574488 | ||||||||
\(780\) | 0.0713021 | − | 0.0867306i | 0.00255303 | − | 0.00310545i | ||||
\(781\) | 2.12580 | 0.0760671 | ||||||||
\(782\) | −39.8068 | + | 68.9473i | −1.42349 | + | 2.46555i | ||||
\(783\) | 21.8114 | − | 13.4858i | 0.779476 | − | 0.481942i | ||||
\(784\) | −13.5826 | − | 20.5398i | −0.485091 | − | 0.733564i | ||||
\(785\) | 0.416753 | − | 0.721837i | 0.0148746 | − | 0.0257635i | ||||
\(786\) | 69.5953 | + | 11.5513i | 2.48238 | + | 0.412023i | ||||
\(787\) | 10.4484 | − | 18.0972i | 0.372446 | − | 0.645096i | −0.617495 | − | 0.786575i | \(-0.711852\pi\) |
0.989941 | + | 0.141479i | \(0.0451857\pi\) | |||||||
\(788\) | 23.5725 | − | 40.8288i | 0.839736 | − | 1.45447i | ||||
\(789\) | −24.4629 | + | 29.7562i | −0.870901 | + | 1.05935i | ||||
\(790\) | 1.92152 | − | 3.32816i | 0.0683645 | − | 0.118411i | ||||
\(791\) | 0.0869596 | − | 0.0537869i | 0.00309193 | − | 0.00191244i | ||||
\(792\) | −0.431195 | − | 2.18730i | −0.0153218 | − | 0.0777222i | ||||
\(793\) | −0.0677905 | + | 0.117417i | −0.00240731 | + | 0.00416959i | ||||
\(794\) | −39.5558 | −1.40378 | ||||||||
\(795\) | 1.33593 | + | 0.221735i | 0.0473804 | + | 0.00786415i | ||||
\(796\) | 44.2254 | 1.56753 | ||||||||
\(797\) | −0.319383 | − | 0.553188i | −0.0113131 | − | 0.0195949i | 0.860313 | − | 0.509765i | \(-0.170268\pi\) |
−0.871627 | + | 0.490171i | \(0.836934\pi\) | |||||||
\(798\) | −51.5193 | − | 39.7986i | −1.82376 | − | 1.40886i | ||||
\(799\) | −5.68091 | + | 9.83963i | −0.200976 | + | 0.348101i | ||||
\(800\) | −20.2069 | + | 34.9993i | −0.714420 | + | 1.23741i | ||||
\(801\) | −25.7450 | − | 8.78835i | −0.909653 | − | 0.310521i | ||||
\(802\) | −14.6849 | − | 25.4350i | −0.518541 | − | 0.898139i | ||||
\(803\) | −1.29563 | − | 2.24409i | −0.0457217 | − | 0.0791923i | ||||
\(804\) | 23.4414 | + | 3.89078i | 0.826714 | + | 0.137217i | ||||
\(805\) | 0.0725425 | + | 2.39084i | 0.00255679 | + | 0.0842659i | ||||
\(806\) | −0.516783 | − | 0.895095i | −0.0182029 | − | 0.0315284i | ||||
\(807\) | −4.08175 | − | 0.677484i | −0.143684 | − | 0.0238486i | ||||
\(808\) | 6.62862 | 0.233194 | ||||||||
\(809\) | 25.2796 | + | 43.7856i | 0.888783 | + | 1.53942i | 0.841315 | + | 0.540545i | \(0.181782\pi\) |
0.0474686 | + | 0.998873i | \(0.484885\pi\) | |||||||
\(810\) | −2.13882 | − | 1.65282i | −0.0751505 | − | 0.0580743i | ||||
\(811\) | −0.784071 | −0.0275325 | −0.0137662 | − | 0.999905i | \(-0.504382\pi\) | ||||
−0.0137662 | + | 0.999905i | \(0.504382\pi\) | |||||||
\(812\) | 24.6241 | − | 15.2307i | 0.864135 | − | 0.534491i | ||||
\(813\) | 14.1382 | + | 37.6620i | 0.495850 | + | 1.32087i | ||||
\(814\) | 23.9230 | 0.838501 | ||||||||
\(815\) | 0.155411 | − | 0.269180i | 0.00544382 | − | 0.00942897i | ||||
\(816\) | 13.4288 | + | 35.7723i | 0.470104 | + | 1.25228i | ||||
\(817\) | 6.50939 | + | 11.2746i | 0.227735 | + | 0.394448i | ||||
\(818\) | 65.4311 | 2.28775 | ||||||||
\(819\) | 1.07982 | + | 1.16243i | 0.0377319 | + | 0.0406186i | ||||
\(820\) | 0.751682 | 0.0262499 | ||||||||
\(821\) | −21.7207 | − | 37.6213i | −0.758056 | − | 1.31299i | −0.943841 | − | 0.330401i | \(-0.892816\pi\) |
0.185784 | − | 0.982591i | \(-0.440517\pi\) | |||||||
\(822\) | 22.6159 | + | 3.75376i | 0.788820 | + | 0.130927i | ||||
\(823\) | −1.98273 | + | 3.43419i | −0.0691136 | + | 0.119708i | −0.898511 | − | 0.438950i | \(-0.855350\pi\) |
0.829398 | + | 0.558659i | \(0.188684\pi\) | |||||||
\(824\) | −0.0910797 | −0.00317291 | ||||||||
\(825\) | −9.11262 | + | 11.0844i | −0.317261 | + | 0.385910i | ||||
\(826\) | −0.753229 | − | 24.8247i | −0.0262082 | − | 0.863763i | ||||
\(827\) | 29.3159 | 1.01941 | 0.509707 | − | 0.860348i | \(-0.329754\pi\) | ||||
0.509707 | + | 0.860348i | \(0.329754\pi\) | |||||||
\(828\) | −38.9188 | − | 13.2854i | −1.35252 | − | 0.461699i | ||||
\(829\) | −17.5213 | − | 30.3478i | −0.608541 | − | 1.05402i | −0.991481 | − | 0.130251i | \(-0.958422\pi\) |
0.382940 | − | 0.923773i | \(-0.374912\pi\) | |||||||
\(830\) | 2.25665 | 0.0783295 | ||||||||
\(831\) | −5.07955 | + | 6.17868i | −0.176208 | + | 0.214336i | ||||
\(832\) | −0.962955 | − | 1.66789i | −0.0333844 | − | 0.0578236i | ||||
\(833\) | −24.2134 | − | 36.6159i | −0.838943 | − | 1.26867i | ||||
\(834\) | −15.6646 | − | 41.7280i | −0.542421 | − | 1.44492i | ||||
\(835\) | 0.846358 | + | 1.46593i | 0.0292894 | + | 0.0507308i | ||||
\(836\) | 12.7627 | + | 22.1057i | 0.441408 | + | 0.764541i | ||||
\(837\) | −11.1277 | + | 6.88012i | −0.384628 | + | 0.237812i | ||||
\(838\) | 24.5369 | − | 42.4992i | 0.847614 | − | 1.46811i | ||||
\(839\) | −18.7921 | + | 32.5489i | −0.648777 | + | 1.12371i | 0.334639 | + | 0.942347i | \(0.391386\pi\) |
−0.983415 | + | 0.181368i | \(0.941948\pi\) | |||||||
\(840\) | −0.236851 | − | 0.182967i | −0.00817213 | − | 0.00631296i | ||||
\(841\) | 2.32218 | + | 4.02213i | 0.0800750 | + | 0.138694i | ||||
\(842\) | 5.02119 | 0.173042 | ||||||||
\(843\) | −7.19324 | − | 19.1617i | −0.247749 | − | 0.659963i | ||||
\(844\) | −52.1411 | −1.79477 | ||||||||
\(845\) | −0.947675 | + | 1.64142i | −0.0326010 | + | 0.0564666i | ||||
\(846\) | −10.5637 | − | 3.60604i | −0.363188 | − | 0.123978i | ||||
\(847\) | −0.660455 | − | 21.7671i | −0.0226935 | − | 0.747926i | ||||
\(848\) | 9.40331 | − | 16.2870i | 0.322911 | − | 0.559298i | ||||
\(849\) | 9.64815 | + | 25.7011i | 0.331124 | + | 0.882061i | ||||
\(850\) | −32.0588 | + | 55.5275i | −1.09961 | + | 1.90458i | ||||
\(851\) | 21.6378 | − | 37.4778i | 0.741735 | − | 1.28472i | ||||
\(852\) | 1.72440 | + | 4.59353i | 0.0590770 | + | 0.157372i | ||||
\(853\) | 16.3849 | − | 28.3795i | 0.561009 | − | 0.971696i | −0.436400 | − | 0.899753i | \(-0.643747\pi\) |
0.997409 | − | 0.0719434i | \(-0.0229201\pi\) | |||||||
\(854\) | 3.24604 | + | 1.74504i | 0.111077 | + | 0.0597140i | ||||
\(855\) | 2.87226 | + | 0.980479i | 0.0982291 | + | 0.0335317i | ||||
\(856\) | 1.55609 | − | 2.69523i | 0.0531861 | − | 0.0921211i | ||||
\(857\) | 27.5347 | 0.940566 | 0.470283 | − | 0.882516i | \(-0.344152\pi\) | ||||
0.470283 | + | 0.882516i | \(0.344152\pi\) | |||||||
\(858\) | −0.415821 | − | 1.10768i | −0.0141959 | − | 0.0378156i | ||||
\(859\) | −46.5101 | −1.58690 | −0.793451 | − | 0.608634i | \(-0.791718\pi\) | ||||
−0.793451 | + | 0.608634i | \(0.791718\pi\) | |||||||
\(860\) | 0.305158 | + | 0.528549i | 0.0104058 | + | 0.0180234i | ||||
\(861\) | −1.42063 | + | 10.5265i | −0.0484151 | + | 0.358744i | ||||
\(862\) | 5.05981 | − | 8.76384i | 0.172338 | − | 0.298498i | ||||
\(863\) | 2.44007 | − | 4.22633i | 0.0830610 | − | 0.143866i | −0.821502 | − | 0.570205i | \(-0.806864\pi\) |
0.904563 | + | 0.426339i | \(0.140197\pi\) | |||||||
\(864\) | −35.8760 | + | 22.1818i | −1.22053 | + | 0.754639i | ||||
\(865\) | −1.16345 | − | 2.01516i | −0.0395585 | − | 0.0685174i | ||||
\(866\) | −31.6814 | − | 54.8739i | −1.07658 | − | 1.86469i | ||||
\(867\) | 13.5909 | + | 36.2041i | 0.461572 | + | 1.22956i | ||||
\(868\) | −12.5626 | + | 7.77033i | −0.426403 | + | 0.263742i | ||||
\(869\) | −10.6463 | − | 18.4400i | −0.361152 | − | 0.625533i | ||||
\(870\) | −1.63034 | + | 1.98312i | −0.0552739 | + | 0.0672341i | ||||
\(871\) | 1.23669 | 0.0419037 | ||||||||
\(872\) | 1.48738 | + | 2.57622i | 0.0503690 | + | 0.0872417i | ||||
\(873\) | 22.6287 | + | 7.72458i | 0.765866 | + | 0.261437i | ||||
\(874\) | 87.8207 | 2.97058 | ||||||||
\(875\) | 0.117097 | + | 3.85924i | 0.00395860 | + | 0.130466i | ||||
\(876\) | 3.79815 | − | 4.62001i | 0.128328 | − | 0.156096i | ||||
\(877\) | 39.2892 | 1.32670 | 0.663352 | − | 0.748308i | \(-0.269133\pi\) | ||||
0.663352 | + | 0.748308i | \(0.269133\pi\) | |||||||
\(878\) | −2.51388 | + | 4.35418i | −0.0848395 | + | 0.146946i | ||||
\(879\) | 24.0856 | + | 3.99770i | 0.812388 | + | 0.134839i | ||||
\(880\) | −0.428043 | − | 0.741392i | −0.0144293 | − | 0.0249923i | ||||
\(881\) | 47.3713 | 1.59598 | 0.797990 | − | 0.602670i | \(-0.205897\pi\) | ||||
0.797990 | + | 0.602670i | \(0.205897\pi\) | |||||||
\(882\) | 30.6925 | − | 30.2964i | 1.03347 | − | 1.02013i | ||||
\(883\) | −2.67206 | −0.0899221 | −0.0449610 | − | 0.998989i | \(-0.514316\pi\) | ||||
−0.0449610 | + | 0.998989i | \(0.514316\pi\) | |||||||
\(884\) | −1.38983 | − | 2.40726i | −0.0467451 | − | 0.0809649i | ||||
\(885\) | 0.406927 | + | 1.08399i | 0.0136787 | + | 0.0364379i | ||||
\(886\) | 27.0003 | − | 46.7659i | 0.907094 | − | 1.57113i | ||||
\(887\) | −22.9600 | −0.770922 | −0.385461 | − | 0.922724i | \(-0.625958\pi\) | ||||
−0.385461 | + | 0.922724i | \(0.625958\pi\) | |||||||
\(888\) | 1.90306 | + | 5.06944i | 0.0638624 | + | 0.170119i | ||||
\(889\) | 1.08155 | + | 35.6453i | 0.0362739 | + | 1.19550i | ||||
\(890\) | 2.72342 | 0.0912891 | ||||||||
\(891\) | −13.8559 | + | 5.68387i | −0.464189 | + | 0.190417i | ||||
\(892\) | 4.50259 | + | 7.79871i | 0.150758 | + | 0.261120i | ||||
\(893\) | 12.5331 | 0.419404 | ||||||||
\(894\) | −62.3456 | − | 10.3480i | −2.08515 | − | 0.346090i | ||||
\(895\) | −0.566944 | − | 0.981976i | −0.0189508 | − | 0.0328238i | ||||
\(896\) | −7.99137 | + | 4.94288i | −0.266973 | + | 0.165130i | ||||
\(897\) | −2.11140 | − | 0.350447i | −0.0704975 | − | 0.0117011i | ||||
\(898\) | 39.7460 | + | 68.8420i | 1.32634 | + | 2.29729i | ||||
\(899\) | 6.21284 | + | 10.7610i | 0.207210 | + | 0.358898i | ||||
\(900\) | −31.3437 | − | 10.6995i | −1.04479 | − | 0.356651i | ||||
\(901\) | 16.7631 | − | 29.0345i | 0.558459 | − | 0.967280i | ||||
\(902\) | 3.96054 | − | 6.85986i | 0.131872 | − | 0.228408i | ||||
\(903\) | −7.97853 | + | 3.27450i | −0.265509 | + | 0.108969i | ||||
\(904\) | −0.00862948 | − | 0.0149467i | −0.000287012 | − | 0.000497120i | ||||
\(905\) | 1.77862 | 0.0591232 | ||||||||
\(906\) | −29.7073 | − | 4.93078i | −0.986958 | − | 0.163814i | ||||
\(907\) | −27.8982 | −0.926345 | −0.463173 | − | 0.886268i | \(-0.653289\pi\) | ||||
−0.463173 | + | 0.886268i | \(0.653289\pi\) | |||||||
\(908\) | 4.27177 | − | 7.39892i | 0.141764 | − | 0.245542i | ||||
\(909\) | −8.61250 | − | 43.6882i | −0.285659 | − | 1.44905i | ||||
\(910\) | −0.139902 | − | 0.0752099i | −0.00463770 | − | 0.00249318i | ||||
\(911\) | −18.7381 | + | 32.4553i | −0.620820 | + | 1.07529i | 0.368513 | + | 0.929623i | \(0.379867\pi\) |
−0.989333 | + | 0.145670i | \(0.953466\pi\) | |||||||
\(912\) | 26.7668 | − | 32.5586i | 0.886336 | − | 1.07812i | ||||
\(913\) | 6.25158 | − | 10.8281i | 0.206897 | − | 0.358356i | ||||
\(914\) | 9.40068 | − | 16.2825i | 0.310947 | − | 0.538576i | ||||
\(915\) | −0.169492 | − | 0.0281320i | −0.00560322 | − | 0.000930016i | ||||
\(916\) | −14.5424 | + | 25.1881i | −0.480493 | + | 0.832239i | ||||
\(917\) | −1.59143 | − | 52.4499i | −0.0525536 | − | 1.73205i | ||||
\(918\) | −56.9184 | + | 35.1921i | −1.87859 | + | 1.16151i | ||||
\(919\) | −15.1073 | + | 26.1667i | −0.498345 | + | 0.863160i | −0.999998 | − | 0.00190951i | \(-0.999392\pi\) |
0.501653 | + | 0.865069i | \(0.332726\pi\) | |||||||
\(920\) | 0.403740 | 0.0133109 | ||||||||
\(921\) | 30.1293 | − | 36.6487i | 0.992793 | − | 1.20762i | ||||
\(922\) | −60.0289 | −1.97695 | ||||||||
\(923\) | 0.127680 | + | 0.221147i | 0.00420262 | + | 0.00727916i | ||||
\(924\) | −15.6432 | + | 6.42020i | −0.514624 | + | 0.211209i | ||||
\(925\) | 17.4263 | − | 30.1832i | 0.572972 | − | 0.992417i | ||||
\(926\) | −16.8611 | + | 29.2042i | −0.554089 | + | 0.959710i | ||||
\(927\) | 0.118339 | + | 0.600292i | 0.00388676 | + | 0.0197162i | ||||
\(928\) | 20.0304 | + | 34.6937i | 0.657531 | + | 1.13888i | ||||
\(929\) | 22.9675 | + | 39.7809i | 0.753540 | + | 1.30517i | 0.946097 | + | 0.323884i | \(0.104989\pi\) |
−0.192556 | + | 0.981286i | \(0.561678\pi\) | |||||||
\(930\) | 0.831764 | − | 1.01174i | 0.0272746 | − | 0.0331763i | ||||
\(931\) | −21.6245 | + | 43.3263i | −0.708715 | + | 1.41996i | ||||
\(932\) | −19.4053 | − | 33.6110i | −0.635642 | − | 1.10096i | ||||
\(933\) | −8.55612 | − | 22.7921i | −0.280115 | − | 0.746181i | ||||
\(934\) | −31.5699 | −1.03300 | ||||||||
\(935\) | −0.763064 | − | 1.32167i | −0.0249549 | − | 0.0432231i | ||||
\(936\) | 0.201647 | − | 0.176230i | 0.00659103 | − | 0.00576027i | ||||
\(937\) | −45.3797 | −1.48249 | −0.741245 | − | 0.671235i | \(-0.765764\pi\) | ||||
−0.741245 | + | 0.671235i | \(0.765764\pi\) | |||||||
\(938\) | −1.01950 | − | 33.6003i | −0.0332878 | − | 1.09709i | ||||
\(939\) | −37.1545 | − | 6.16686i | −1.21249 | − | 0.201248i | ||||
\(940\) | 0.587547 | 0.0191637 | ||||||||
\(941\) | −24.7002 | + | 42.7819i | −0.805202 | + | 1.39465i | 0.110952 | + | 0.993826i | \(0.464610\pi\) |
−0.916154 | + | 0.400825i | \(0.868723\pi\) | |||||||
\(942\) | 12.8743 | − | 15.6600i | 0.419466 | − | 0.510231i | ||||
\(943\) | −7.16445 | − | 12.4092i | −0.233307 | − | 0.404099i | ||||
\(944\) | 16.0798 | 0.523353 | ||||||||
\(945\) | −0.898168 | + | 1.79877i | −0.0292174 | + | 0.0585141i | ||||
\(946\) | 6.43141 | 0.209103 | ||||||||
\(947\) | −15.8253 | − | 27.4102i | −0.514252 | − | 0.890711i | −0.999863 | − | 0.0165357i | \(-0.994736\pi\) |
0.485611 | − | 0.874175i | \(-0.338597\pi\) | |||||||
\(948\) | 31.2099 | − | 37.9631i | 1.01365 | − | 1.23299i | ||||
\(949\) | 0.155636 | − | 0.269569i | 0.00505214 | − | 0.00875057i | ||||
\(950\) | 70.7274 | 2.29470 | ||||||||
\(951\) | −14.6313 | − | 2.42849i | −0.474453 | − | 0.0787492i | ||||
\(952\) | −6.30159 | + | 3.89771i | −0.204236 | + | 0.126325i | ||||
\(953\) | −19.1237 | −0.619477 | −0.309739 | − | 0.950822i | \(-0.600242\pi\) | ||||
−0.309739 | + | 0.950822i | \(0.600242\pi\) | |||||||
\(954\) | 31.1711 | + | 10.6406i | 1.00920 | + | 0.344503i | ||||
\(955\) | −0.363249 | − | 0.629165i | −0.0117545 | − | 0.0203593i | ||||
\(956\) | −16.2255 | −0.524769 | ||||||||
\(957\) | 4.99906 | + | 13.3167i | 0.161597 | + | 0.430467i | ||||
\(958\) | 38.9465 | + | 67.4573i | 1.25830 | + | 2.17945i | ||||
\(959\) | −0.517156 | − | 17.0443i | −0.0166998 | − | 0.550388i | ||||
\(960\) | 1.54988 | − | 1.88524i | 0.0500221 | − | 0.0608459i | ||||
\(961\) | 12.3304 | + | 21.3568i | 0.397753 | + | 0.688929i | ||||
\(962\) | 1.43686 | + | 2.48871i | 0.0463262 | + | 0.0802394i | ||||
\(963\) | −19.7856 | − | 6.75406i | −0.637583 | − | 0.217647i | ||||
\(964\) | −6.90857 | + | 11.9660i | −0.222510 | + | 0.385399i | ||||
\(965\) | −1.08985 | + | 1.88768i | −0.0350836 | + | 0.0607666i | ||||
\(966\) | −7.78089 | + | 57.6545i | −0.250346 | + | 1.85500i | ||||
\(967\) | 4.98525 | + | 8.63470i | 0.160315 | + | 0.277673i | 0.934982 | − | 0.354696i | \(-0.115416\pi\) |
−0.774667 | + | 0.632370i | \(0.782082\pi\) | |||||||
\(968\) | −3.67581 | −0.118145 | ||||||||
\(969\) | 47.7166 | − | 58.0416i | 1.53288 | − | 1.86456i | ||||
\(970\) | −2.39377 | −0.0768592 | ||||||||
\(971\) | 0.522554 | − | 0.905090i | 0.0167695 | − | 0.0290457i | −0.857519 | − | 0.514453i | \(-0.827995\pi\) |
0.874288 | + | 0.485407i | \(0.161329\pi\) | |||||||
\(972\) | −23.5215 | − | 25.3298i | −0.754453 | − | 0.812453i | ||||
\(973\) | −28.1951 | + | 17.4395i | −0.903895 | + | 0.559084i | ||||
\(974\) | 4.72847 | − | 8.18994i | 0.151510 | − | 0.262423i | ||||
\(975\) | −1.70044 | − | 0.282237i | −0.0544576 | − | 0.00903880i | ||||
\(976\) | −1.19302 | + | 2.06637i | −0.0381875 | + | 0.0661428i | ||||
\(977\) | 9.44308 | − | 16.3559i | 0.302111 | − | 0.523272i | −0.674503 | − | 0.738272i | \(-0.735642\pi\) |
0.976614 | + | 0.215001i | \(0.0689753\pi\) | |||||||
\(978\) | 4.80094 | − | 5.83977i | 0.153517 | − | 0.186735i | ||||
\(979\) | 7.54466 | − | 13.0677i | 0.241128 | − | 0.417647i | ||||
\(980\) | −1.01375 | + | 2.03112i | −0.0323830 | + | 0.0648819i | ||||
\(981\) | 15.0469 | − | 13.1503i | 0.480410 | − | 0.419858i | ||||
\(982\) | −31.1899 | + | 54.0224i | −0.995309 | + | 1.72393i | ||||
\(983\) | 2.28891 | 0.0730050 | 0.0365025 | − | 0.999334i | \(-0.488378\pi\) | ||||
0.0365025 | + | 0.999334i | \(0.488378\pi\) | |||||||
\(984\) | 1.76871 | + | 0.293568i | 0.0563844 | + | 0.00935861i | ||||
\(985\) | 3.10930 | 0.0990707 | ||||||||
\(986\) | 31.7789 | + | 55.0427i | 1.01205 | + | 1.75292i | ||||
\(987\) | −1.11043 | + | 8.22800i | −0.0353453 | + | 0.261900i | ||||
\(988\) | −1.53311 | + | 2.65542i | −0.0487746 | + | 0.0844801i | ||||
\(989\) | 5.81707 | − | 10.0755i | 0.184972 | − | 0.320381i | ||||
\(990\) | 1.12893 | − | 0.986640i | 0.0358799 | − | 0.0313575i | ||||
\(991\) | −9.53491 | − | 16.5150i | −0.302886 | − | 0.524615i | 0.673902 | − | 0.738821i | \(-0.264617\pi\) |
−0.976789 | + | 0.214206i | \(0.931284\pi\) | |||||||
\(992\) | −10.2191 | − | 17.6999i | −0.324455 | − | 0.561973i | ||||
\(993\) | −18.5343 | − | 3.07631i | −0.588170 | − | 0.0976237i | ||||
\(994\) | 5.90321 | − | 3.65130i | 0.187239 | − | 0.115812i | ||||
\(995\) | 1.45837 | + | 2.52598i | 0.0462336 | + | 0.0800789i | ||||
\(996\) | 28.4689 | + | 4.72524i | 0.902072 | + | 0.149725i | ||||
\(997\) | 37.0151 | 1.17228 | 0.586139 | − | 0.810210i | \(-0.300647\pi\) | ||||
0.586139 | + | 0.810210i | \(0.300647\pi\) | |||||||
\(998\) | −9.51732 | − | 16.4845i | −0.301266 | − | 0.521807i | ||||
\(999\) | 30.9392 | − | 19.1294i | 0.978875 | − | 0.605228i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))