Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(79,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.79");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.e (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.2696112.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{5} + 5x^{4} + 18x^{2} - 8x + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 91) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 79.1 | ||
Root | \(1.17146 - 2.02903i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 637.79 |
Dual form | 637.2.e.i.508.1 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.17146 | + | 2.02903i | −0.828348 | + | 1.43474i | 0.0709847 | + | 0.997477i | \(0.477386\pi\) |
−0.899333 | + | 0.437264i | \(0.855947\pi\) | |||||||
\(3\) | −0.573183 | − | 0.992782i | −0.330927 | − | 0.573183i | 0.651767 | − | 0.758420i | \(-0.274028\pi\) |
−0.982694 | + | 0.185237i | \(0.940695\pi\) | |||||||
\(4\) | −1.74464 | − | 3.02181i | −0.872322 | − | 1.51091i | ||||
\(5\) | −0.671462 | + | 1.16301i | −0.300287 | + | 0.520112i | −0.976201 | − | 0.216869i | \(-0.930416\pi\) |
0.675914 | + | 0.736980i | \(0.263749\pi\) | |||||||
\(6\) | 2.68585 | 1.09649 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 3.48929 | 1.23365 | ||||||||
\(9\) | 0.842923 | − | 1.45999i | 0.280974 | − | 0.486662i | ||||
\(10\) | −1.57318 | − | 2.72483i | −0.497484 | − | 0.861668i | ||||
\(11\) | −0.573183 | − | 0.992782i | −0.172821 | − | 0.299335i | 0.766584 | − | 0.642144i | \(-0.221955\pi\) |
−0.939405 | + | 0.342809i | \(0.888622\pi\) | |||||||
\(12\) | −2.00000 | + | 3.46410i | −0.577350 | + | 1.00000i | ||||
\(13\) | −1.00000 | −0.277350 | ||||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.53948 | 0.397492 | ||||||||
\(16\) | −0.598279 | + | 1.03625i | −0.149570 | + | 0.259062i | ||||
\(17\) | 2.91611 | + | 5.05084i | 0.707260 | + | 1.22501i | 0.965870 | + | 0.259028i | \(0.0834021\pi\) |
−0.258610 | + | 0.965982i | \(0.583265\pi\) | |||||||
\(18\) | 1.97490 | + | 3.42063i | 0.465489 | + | 0.806251i | ||||
\(19\) | −1.67146 | + | 2.89506i | −0.383460 | + | 0.664171i | −0.991554 | − | 0.129693i | \(-0.958601\pi\) |
0.608095 | + | 0.793865i | \(0.291934\pi\) | |||||||
\(20\) | 4.68585 | 1.04779 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.68585 | 0.572624 | ||||||||
\(23\) | 1.58757 | − | 2.74975i | 0.331031 | − | 0.573362i | −0.651684 | − | 0.758491i | \(-0.725937\pi\) |
0.982714 | + | 0.185129i | \(0.0592703\pi\) | |||||||
\(24\) | −2.00000 | − | 3.46410i | −0.408248 | − | 0.707107i | ||||
\(25\) | 1.59828 | + | 2.76830i | 0.319656 | + | 0.553660i | ||||
\(26\) | 1.17146 | − | 2.02903i | 0.229743 | − | 0.397926i | ||||
\(27\) | −5.37169 | −1.03378 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 10.4893 | 1.94781 | 0.973906 | − | 0.226952i | \(-0.0728760\pi\) | ||||
0.973906 | + | 0.226952i | \(0.0728760\pi\) | |||||||
\(30\) | −1.80344 | + | 3.12365i | −0.329262 | + | 0.570299i | ||||
\(31\) | 0.817827 | + | 1.41652i | 0.146886 | + | 0.254414i | 0.930075 | − | 0.367370i | \(-0.119742\pi\) |
−0.783189 | + | 0.621784i | \(0.786408\pi\) | |||||||
\(32\) | 2.08757 | + | 3.61577i | 0.369033 | + | 0.639184i | ||||
\(33\) | −0.657077 | + | 1.13809i | −0.114382 | + | 0.198116i | ||||
\(34\) | −13.6644 | −2.34343 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −5.88240 | −0.980401 | ||||||||
\(37\) | −4.25903 | + | 7.37685i | −0.700180 | + | 1.21275i | 0.268223 | + | 0.963357i | \(0.413564\pi\) |
−0.968403 | + | 0.249391i | \(0.919770\pi\) | |||||||
\(38\) | −3.91611 | − | 6.78289i | −0.635276 | − | 1.10033i | ||||
\(39\) | 0.573183 | + | 0.992782i | 0.0917827 | + | 0.158972i | ||||
\(40\) | −2.34292 | + | 4.05806i | −0.370449 | + | 0.641636i | ||||
\(41\) | 0.292731 | 0.0457169 | 0.0228584 | − | 0.999739i | \(-0.492723\pi\) | ||||
0.0228584 | + | 0.999739i | \(0.492723\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −8.15371 | −1.24343 | −0.621715 | − | 0.783244i | \(-0.713564\pi\) | ||||
−0.621715 | + | 0.783244i | \(0.713564\pi\) | |||||||
\(44\) | −2.00000 | + | 3.46410i | −0.301511 | + | 0.522233i | ||||
\(45\) | 1.13198 | + | 1.96065i | 0.168746 | + | 0.292276i | ||||
\(46\) | 3.71955 | + | 6.44245i | 0.548417 | + | 0.949887i | ||||
\(47\) | −5.30712 | + | 9.19219i | −0.774122 | + | 1.34082i | 0.161164 | + | 0.986928i | \(0.448475\pi\) |
−0.935286 | + | 0.353892i | \(0.884858\pi\) | |||||||
\(48\) | 1.37169 | 0.197987 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −7.48929 | −1.05915 | ||||||||
\(51\) | 3.34292 | − | 5.79011i | 0.468103 | − | 0.810778i | ||||
\(52\) | 1.74464 | + | 3.02181i | 0.241939 | + | 0.419050i | ||||
\(53\) | 0.391010 | + | 0.677249i | 0.0537093 | + | 0.0930273i | 0.891630 | − | 0.452765i | \(-0.149562\pi\) |
−0.837921 | + | 0.545792i | \(0.816229\pi\) | |||||||
\(54\) | 6.29273 | − | 10.8993i | 0.856332 | − | 1.48321i | ||||
\(55\) | 1.53948 | 0.207584 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 3.83221 | 0.507589 | ||||||||
\(58\) | −12.2878 | + | 21.2831i | −1.61347 | + | 2.79461i | ||||
\(59\) | 6.32150 | + | 10.9492i | 0.822989 | + | 1.42546i | 0.903446 | + | 0.428701i | \(0.141029\pi\) |
−0.0804572 | + | 0.996758i | \(0.525638\pi\) | |||||||
\(60\) | −2.68585 | − | 4.65202i | −0.346741 | − | 0.600573i | ||||
\(61\) | −1.00000 | + | 1.73205i | −0.128037 | + | 0.221766i | −0.922916 | − | 0.385002i | \(-0.874201\pi\) |
0.794879 | + | 0.606768i | \(0.207534\pi\) | |||||||
\(62\) | −3.83221 | −0.486691 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −12.1751 | −1.52189 | ||||||||
\(65\) | 0.671462 | − | 1.16301i | 0.0832846 | − | 0.144253i | ||||
\(66\) | −1.53948 | − | 2.66646i | −0.189497 | − | 0.328218i | ||||
\(67\) | 3.05019 | + | 5.28309i | 0.372640 | + | 0.645432i | 0.989971 | − | 0.141272i | \(-0.0451192\pi\) |
−0.617331 | + | 0.786704i | \(0.711786\pi\) | |||||||
\(68\) | 10.1751 | − | 17.6239i | 1.23392 | − | 2.13721i | ||||
\(69\) | −3.63986 | −0.438188 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.53948 | 0.182703 | 0.0913514 | − | 0.995819i | \(-0.470881\pi\) | ||||
0.0913514 | + | 0.995819i | \(0.470881\pi\) | |||||||
\(72\) | 2.94120 | − | 5.09431i | 0.346624 | − | 0.600370i | ||||
\(73\) | −7.65004 | − | 13.2503i | −0.895369 | − | 1.55083i | −0.833347 | − | 0.552750i | \(-0.813578\pi\) |
−0.0620224 | − | 0.998075i | \(-0.519755\pi\) | |||||||
\(74\) | −9.97858 | − | 17.2834i | −1.15999 | − | 2.00915i | ||||
\(75\) | 1.83221 | − | 3.17348i | 0.211566 | − | 0.366442i | ||||
\(76\) | 11.6644 | 1.33800 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −2.68585 | −0.304112 | ||||||||
\(79\) | −0.441202 | + | 0.764184i | −0.0496391 | + | 0.0859774i | −0.889777 | − | 0.456395i | \(-0.849140\pi\) |
0.840138 | + | 0.542372i | \(0.182474\pi\) | |||||||
\(80\) | −0.803442 | − | 1.39160i | −0.0898276 | − | 0.155586i | ||||
\(81\) | 0.550192 | + | 0.952961i | 0.0611325 | + | 0.105885i | ||||
\(82\) | −0.342923 | + | 0.593960i | −0.0378695 | + | 0.0655919i | ||||
\(83\) | 12.1292 | 1.33135 | 0.665674 | − | 0.746243i | \(-0.268144\pi\) | ||||
0.665674 | + | 0.746243i | \(0.268144\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −7.83221 | −0.849523 | ||||||||
\(86\) | 9.55176 | − | 16.5441i | 1.02999 | − | 1.78400i | ||||
\(87\) | −6.01228 | − | 10.4136i | −0.644584 | − | 1.11645i | ||||
\(88\) | −2.00000 | − | 3.46410i | −0.213201 | − | 0.369274i | ||||
\(89\) | 2.86802 | − | 4.96755i | 0.304009 | − | 0.526560i | −0.673031 | − | 0.739614i | \(-0.735008\pi\) |
0.977040 | + | 0.213055i | \(0.0683412\pi\) | |||||||
\(90\) | −5.30429 | −0.559121 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −11.0790 | −1.15506 | ||||||||
\(93\) | 0.937529 | − | 1.62385i | 0.0972172 | − | 0.168385i | ||||
\(94\) | −12.4342 | − | 21.5366i | −1.28249 | − | 2.22133i | ||||
\(95\) | −2.24464 | − | 3.88784i | −0.230296 | − | 0.398884i | ||||
\(96\) | 2.39312 | − | 4.14500i | 0.244246 | − | 0.423047i | ||||
\(97\) | 5.34292 | 0.542492 | 0.271246 | − | 0.962510i | \(-0.412564\pi\) | ||||
0.271246 | + | 0.962510i | \(0.412564\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −1.93260 | −0.194233 | ||||||||
\(100\) | 5.57686 | − | 9.65940i | 0.557686 | − | 0.965940i | ||||
\(101\) | 5.57318 | + | 9.65304i | 0.554552 | + | 0.960513i | 0.997938 | + | 0.0641821i | \(0.0204438\pi\) |
−0.443386 | + | 0.896331i | \(0.646223\pi\) | |||||||
\(102\) | 7.83221 | + | 13.5658i | 0.775505 | + | 1.34321i | ||||
\(103\) | −1.70727 | + | 2.95708i | −0.168222 | + | 0.291369i | −0.937795 | − | 0.347190i | \(-0.887136\pi\) |
0.769573 | + | 0.638559i | \(0.220469\pi\) | |||||||
\(104\) | −3.48929 | −0.342153 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.83221 | −0.177960 | ||||||||
\(107\) | −2.48929 | + | 4.31157i | −0.240649 | + | 0.416816i | −0.960899 | − | 0.276898i | \(-0.910693\pi\) |
0.720251 | + | 0.693714i | \(0.244027\pi\) | |||||||
\(108\) | 9.37169 | + | 16.2322i | 0.901792 | + | 1.56195i | ||||
\(109\) | 6.74832 | + | 11.6884i | 0.646372 | + | 1.11955i | 0.983983 | + | 0.178263i | \(0.0570477\pi\) |
−0.337611 | + | 0.941286i | \(0.609619\pi\) | |||||||
\(110\) | −1.80344 | + | 3.12365i | −0.171951 | + | 0.297829i | ||||
\(111\) | 9.76481 | 0.926835 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 16.4464 | 1.54715 | 0.773576 | − | 0.633704i | \(-0.218466\pi\) | ||||
0.773576 | + | 0.633704i | \(0.218466\pi\) | |||||||
\(114\) | −4.48929 | + | 7.77568i | −0.420460 | + | 0.728259i | ||||
\(115\) | 2.13198 | + | 3.69270i | 0.198808 | + | 0.344346i | ||||
\(116\) | −18.3001 | − | 31.6967i | −1.69912 | − | 2.94296i | ||||
\(117\) | −0.842923 | + | 1.45999i | −0.0779283 | + | 0.134976i | ||||
\(118\) | −29.6216 | −2.72689 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 5.37169 | 0.490366 | ||||||||
\(121\) | 4.84292 | − | 8.38819i | 0.440266 | − | 0.762563i | ||||
\(122\) | −2.34292 | − | 4.05806i | −0.212118 | − | 0.367400i | ||||
\(123\) | −0.167788 | − | 0.290618i | −0.0151290 | − | 0.0262041i | ||||
\(124\) | 2.85363 | − | 4.94264i | 0.256264 | − | 0.443862i | ||||
\(125\) | −11.0073 | −0.984527 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 12.0575 | 1.06993 | 0.534967 | − | 0.844873i | \(-0.320324\pi\) | ||||
0.534967 | + | 0.844873i | \(0.320324\pi\) | |||||||
\(128\) | 10.0876 | − | 17.4722i | 0.891623 | − | 1.54434i | ||||
\(129\) | 4.67357 | + | 8.09486i | 0.411485 | + | 0.712712i | ||||
\(130\) | 1.57318 | + | 2.72483i | 0.137977 | + | 0.238984i | ||||
\(131\) | −1.83221 | + | 3.17348i | −0.160081 | + | 0.277269i | −0.934898 | − | 0.354918i | \(-0.884509\pi\) |
0.774816 | + | 0.632186i | \(0.217842\pi\) | |||||||
\(132\) | 4.58546 | 0.399113 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −14.2927 | −1.23470 | ||||||||
\(135\) | 3.60688 | − | 6.24731i | 0.310431 | − | 0.537683i | ||||
\(136\) | 10.1751 | + | 17.6239i | 0.872511 | + | 1.51123i | ||||
\(137\) | 6.55176 | + | 11.3480i | 0.559755 | + | 0.969523i | 0.997517 | + | 0.0704325i | \(0.0224379\pi\) |
−0.437762 | + | 0.899091i | \(0.644229\pi\) | |||||||
\(138\) | 4.26396 | − | 7.38540i | 0.362973 | − | 0.628687i | ||||
\(139\) | −7.49663 | −0.635856 | −0.317928 | − | 0.948115i | \(-0.602987\pi\) | ||||
−0.317928 | + | 0.948115i | \(0.602987\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 12.1678 | 1.02471 | ||||||||
\(142\) | −1.80344 | + | 3.12365i | −0.151342 | + | 0.262131i | ||||
\(143\) | 0.573183 | + | 0.992782i | 0.0479319 | + | 0.0830206i | ||||
\(144\) | 1.00861 | + | 1.74696i | 0.0840505 | + | 0.145580i | ||||
\(145\) | −7.04315 | + | 12.1991i | −0.584902 | + | 1.01308i | ||||
\(146\) | 35.8469 | 2.96671 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 29.7220 | 2.44313 | ||||||||
\(149\) | −1.08389 | + | 1.87736i | −0.0887961 | + | 0.153799i | −0.907002 | − | 0.421125i | \(-0.861635\pi\) |
0.818206 | + | 0.574925i | \(0.194969\pi\) | |||||||
\(150\) | 4.29273 | + | 7.43523i | 0.350500 | + | 0.607084i | ||||
\(151\) | −7.45559 | − | 12.9135i | −0.606727 | − | 1.05088i | −0.991776 | − | 0.127986i | \(-0.959149\pi\) |
0.385049 | − | 0.922896i | \(-0.374185\pi\) | |||||||
\(152\) | −5.83221 | + | 10.1017i | −0.473055 | + | 0.819355i | ||||
\(153\) | 9.83221 | 0.794887 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −2.19656 | −0.176432 | ||||||||
\(156\) | 2.00000 | − | 3.46410i | 0.160128 | − | 0.277350i | ||||
\(157\) | 11.4342 | + | 19.8046i | 0.912546 | + | 1.58058i | 0.810456 | + | 0.585800i | \(0.199220\pi\) |
0.102090 | + | 0.994775i | \(0.467447\pi\) | |||||||
\(158\) | −1.03370 | − | 1.79042i | −0.0822369 | − | 0.142439i | ||||
\(159\) | 0.448240 | − | 0.776375i | 0.0355478 | − | 0.0615705i | ||||
\(160\) | −5.60688 | −0.443263 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −2.57812 | −0.202556 | ||||||||
\(163\) | −3.53948 | + | 6.13056i | −0.277234 | + | 0.480183i | −0.970696 | − | 0.240310i | \(-0.922751\pi\) |
0.693463 | + | 0.720493i | \(0.256084\pi\) | |||||||
\(164\) | −0.510711 | − | 0.884578i | −0.0398799 | − | 0.0690739i | ||||
\(165\) | −0.882404 | − | 1.52837i | −0.0686950 | − | 0.118983i | ||||
\(166\) | −14.2088 | + | 24.6104i | −1.10282 | + | 1.91014i | ||||
\(167\) | −2.61423 | −0.202295 | −0.101148 | − | 0.994871i | \(-0.532251\pi\) | ||||
−0.101148 | + | 0.994871i | \(0.532251\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.00000 | 0.0769231 | ||||||||
\(170\) | 9.17513 | − | 15.8918i | 0.703701 | − | 1.21885i | ||||
\(171\) | 2.81783 | + | 4.88062i | 0.215485 | + | 0.373230i | ||||
\(172\) | 14.2253 | + | 24.6390i | 1.08467 | + | 1.87871i | ||||
\(173\) | 5.50157 | − | 9.52899i | 0.418276 | − | 0.724476i | −0.577490 | − | 0.816398i | \(-0.695968\pi\) |
0.995766 | + | 0.0919219i | \(0.0293010\pi\) | |||||||
\(174\) | 28.1726 | 2.13576 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 1.37169 | 0.103395 | ||||||||
\(177\) | 7.24675 | − | 12.5517i | 0.544699 | − | 0.943446i | ||||
\(178\) | 6.71955 | + | 11.6386i | 0.503651 | + | 0.872350i | ||||
\(179\) | −11.9807 | − | 20.7512i | −0.895478 | − | 1.55101i | −0.833212 | − | 0.552954i | \(-0.813500\pi\) |
−0.0622667 | − | 0.998060i | \(-0.519833\pi\) | |||||||
\(180\) | 3.94981 | − | 6.84127i | 0.294401 | − | 0.509918i | ||||
\(181\) | −6.56090 | −0.487668 | −0.243834 | − | 0.969817i | \(-0.578405\pi\) | ||||
−0.243834 | + | 0.969817i | \(0.578405\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.29273 | 0.169484 | ||||||||
\(184\) | 5.53948 | − | 9.59466i | 0.408376 | − | 0.707328i | ||||
\(185\) | −5.71955 | − | 9.90655i | −0.420510 | − | 0.728344i | ||||
\(186\) | 2.19656 | + | 3.80455i | 0.161059 | + | 0.278963i | ||||
\(187\) | 3.34292 | − | 5.79011i | 0.244459 | − | 0.423415i | ||||
\(188\) | 37.0361 | 2.70114 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 10.5181 | 0.763060 | ||||||||
\(191\) | 2.19656 | − | 3.80455i | 0.158937 | − | 0.275288i | −0.775548 | − | 0.631288i | \(-0.782527\pi\) |
0.934486 | + | 0.356001i | \(0.115860\pi\) | |||||||
\(192\) | 6.97858 | + | 12.0873i | 0.503635 | + | 0.872322i | ||||
\(193\) | 4.14637 | + | 7.18172i | 0.298462 | + | 0.516951i | 0.975784 | − | 0.218735i | \(-0.0701931\pi\) |
−0.677322 | + | 0.735686i | \(0.736860\pi\) | |||||||
\(194\) | −6.25903 | + | 10.8410i | −0.449372 | + | 0.778335i | ||||
\(195\) | −1.53948 | −0.110245 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −3.17092 | −0.225919 | −0.112959 | − | 0.993600i | \(-0.536033\pi\) | ||||
−0.112959 | + | 0.993600i | \(0.536033\pi\) | |||||||
\(198\) | 2.26396 | − | 3.92130i | 0.160893 | − | 0.278674i | ||||
\(199\) | −6.79851 | − | 11.7754i | −0.481934 | − | 0.834733i | 0.517851 | − | 0.855471i | \(-0.326732\pi\) |
−0.999785 | + | 0.0207372i | \(0.993399\pi\) | |||||||
\(200\) | 5.57686 | + | 9.65940i | 0.394343 | + | 0.683023i | ||||
\(201\) | 3.49663 | − | 6.05635i | 0.246634 | − | 0.427182i | ||||
\(202\) | −26.1151 | −1.83745 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −23.3288 | −1.63335 | ||||||||
\(205\) | −0.196558 | + | 0.340448i | −0.0137282 | + | 0.0237779i | ||||
\(206\) | −4.00000 | − | 6.92820i | −0.278693 | − | 0.482711i | ||||
\(207\) | −2.67639 | − | 4.63565i | −0.186022 | − | 0.322200i | ||||
\(208\) | 0.598279 | − | 1.03625i | 0.0414832 | − | 0.0718510i | ||||
\(209\) | 3.83221 | 0.265080 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.27552 | 0.638553 | 0.319277 | − | 0.947662i | \(-0.396560\pi\) | ||||
0.319277 | + | 0.947662i | \(0.396560\pi\) | |||||||
\(212\) | 1.36435 | − | 2.36312i | 0.0937037 | − | 0.162300i | ||||
\(213\) | −0.882404 | − | 1.52837i | −0.0604613 | − | 0.104722i | ||||
\(214\) | −5.83221 | − | 10.1017i | −0.398682 | − | 0.690537i | ||||
\(215\) | 5.47490 | − | 9.48281i | 0.373385 | − | 0.646722i | ||||
\(216\) | −18.7434 | −1.27533 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −31.6216 | −2.14168 | ||||||||
\(219\) | −8.76974 | + | 15.1896i | −0.592604 | + | 1.02642i | ||||
\(220\) | −2.68585 | − | 4.65202i | −0.181080 | − | 0.313639i | ||||
\(221\) | −2.91611 | − | 5.05084i | −0.196159 | − | 0.339756i | ||||
\(222\) | −11.4391 | + | 19.8131i | −0.767742 | + | 1.32977i | ||||
\(223\) | 19.5928 | 1.31203 | 0.656016 | − | 0.754747i | \(-0.272240\pi\) | ||||
0.656016 | + | 0.754747i | \(0.272240\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 5.38890 | 0.359260 | ||||||||
\(226\) | −19.2664 | + | 33.3703i | −1.28158 | + | 2.21976i | ||||
\(227\) | −9.83221 | − | 17.0299i | −0.652587 | − | 1.13031i | −0.982493 | − | 0.186300i | \(-0.940350\pi\) |
0.329906 | − | 0.944014i | \(-0.392983\pi\) | |||||||
\(228\) | −6.68585 | − | 11.5802i | −0.442781 | − | 0.766919i | ||||
\(229\) | 3.88240 | − | 6.72452i | 0.256556 | − | 0.444369i | −0.708761 | − | 0.705449i | \(-0.750745\pi\) |
0.965317 | + | 0.261080i | \(0.0840787\pi\) | |||||||
\(230\) | −9.99013 | −0.658730 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 36.6002 | 2.40292 | ||||||||
\(233\) | −6.09828 | + | 10.5625i | −0.399512 | + | 0.691974i | −0.993666 | − | 0.112377i | \(-0.964154\pi\) |
0.594154 | + | 0.804351i | \(0.297487\pi\) | |||||||
\(234\) | −1.97490 | − | 3.42063i | −0.129104 | − | 0.223614i | ||||
\(235\) | −7.12705 | − | 12.3444i | −0.464917 | − | 0.805260i | ||||
\(236\) | 22.0575 | − | 38.2048i | 1.43582 | − | 2.48692i | ||||
\(237\) | 1.01156 | 0.0657077 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −10.2927 | −0.665781 | −0.332891 | − | 0.942965i | \(-0.608024\pi\) | ||||
−0.332891 | + | 0.942965i | \(0.608024\pi\) | |||||||
\(240\) | −0.921039 | + | 1.59529i | −0.0594528 | + | 0.102975i | ||||
\(241\) | −2.01438 | − | 3.48902i | −0.129758 | − | 0.224747i | 0.793825 | − | 0.608147i | \(-0.208087\pi\) |
−0.923583 | + | 0.383399i | \(0.874753\pi\) | |||||||
\(242\) | 11.3466 | + | 19.6529i | 0.729387 | + | 1.26334i | ||||
\(243\) | −7.42682 | + | 12.8636i | −0.476431 | + | 0.825202i | ||||
\(244\) | 6.97858 | 0.446758 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0.786230 | 0.0501282 | ||||||||
\(247\) | 1.67146 | − | 2.89506i | 0.106353 | − | 0.184208i | ||||
\(248\) | 2.85363 | + | 4.94264i | 0.181206 | + | 0.313858i | ||||
\(249\) | −6.95222 | − | 12.0416i | −0.440579 | − | 0.763105i | ||||
\(250\) | 12.8947 | − | 22.3342i | 0.815531 | − | 1.41254i | ||||
\(251\) | −2.91117 | −0.183752 | −0.0918758 | − | 0.995770i | \(-0.529286\pi\) | ||||
−0.0918758 | + | 0.995770i | \(0.529286\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.63986 | −0.228836 | ||||||||
\(254\) | −14.1249 | + | 24.4651i | −0.886278 | + | 1.53508i | ||||
\(255\) | 4.48929 | + | 7.77568i | 0.281130 | + | 0.486932i | ||||
\(256\) | 11.4593 | + | 19.8480i | 0.716204 | + | 1.24050i | ||||
\(257\) | −9.79851 | + | 16.9715i | −0.611214 | + | 1.05865i | 0.379822 | + | 0.925060i | \(0.375985\pi\) |
−0.991036 | + | 0.133594i | \(0.957348\pi\) | |||||||
\(258\) | −21.8996 | −1.36341 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −4.68585 | −0.290604 | ||||||||
\(261\) | 8.84166 | − | 15.3142i | 0.547285 | − | 0.947926i | ||||
\(262\) | −4.29273 | − | 7.43523i | −0.265206 | − | 0.459350i | ||||
\(263\) | −3.78412 | − | 6.55430i | −0.233339 | − | 0.404155i | 0.725450 | − | 0.688275i | \(-0.241632\pi\) |
−0.958789 | + | 0.284120i | \(0.908299\pi\) | |||||||
\(264\) | −2.29273 | + | 3.97113i | −0.141108 | + | 0.244406i | ||||
\(265\) | −1.05019 | −0.0645128 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −6.57560 | −0.402420 | ||||||||
\(268\) | 10.6430 | − | 18.4342i | 0.650125 | − | 1.12605i | ||||
\(269\) | −4.73604 | − | 8.20306i | −0.288761 | − | 0.500149i | 0.684753 | − | 0.728775i | \(-0.259910\pi\) |
−0.973514 | + | 0.228626i | \(0.926577\pi\) | |||||||
\(270\) | 8.45065 | + | 14.6370i | 0.514290 | + | 0.890777i | ||||
\(271\) | 14.6858 | − | 25.4366i | 0.892102 | − | 1.54517i | 0.0547504 | − | 0.998500i | \(-0.482564\pi\) |
0.837351 | − | 0.546665i | \(-0.184103\pi\) | |||||||
\(272\) | −6.97858 | −0.423138 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −30.7005 | −1.85469 | ||||||||
\(275\) | 1.83221 | − | 3.17348i | 0.110487 | − | 0.191368i | ||||
\(276\) | 6.35027 | + | 10.9990i | 0.382241 | + | 0.662061i | ||||
\(277\) | 0.951913 | + | 1.64876i | 0.0571949 | + | 0.0990645i | 0.893205 | − | 0.449649i | \(-0.148451\pi\) |
−0.836010 | + | 0.548714i | \(0.815118\pi\) | |||||||
\(278\) | 8.78202 | − | 15.2109i | 0.526711 | − | 0.912289i | ||||
\(279\) | 2.75746 | 0.165085 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −20.5756 | −1.22744 | −0.613719 | − | 0.789525i | \(-0.710327\pi\) | ||||
−0.613719 | + | 0.789525i | \(0.710327\pi\) | |||||||
\(282\) | −14.2541 | + | 24.6888i | −0.848819 | + | 1.47020i | ||||
\(283\) | −13.4966 | − | 23.3769i | −0.802292 | − | 1.38961i | −0.918104 | − | 0.396339i | \(-0.870281\pi\) |
0.115813 | − | 0.993271i | \(-0.463053\pi\) | |||||||
\(284\) | −2.68585 | − | 4.65202i | −0.159376 | − | 0.276047i | ||||
\(285\) | −2.57318 | + | 4.45688i | −0.152422 | + | 0.264003i | ||||
\(286\) | −2.68585 | −0.158817 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 7.03863 | 0.414756 | ||||||||
\(289\) | −8.50735 | + | 14.7352i | −0.500432 | + | 0.866774i | ||||
\(290\) | −16.5016 | − | 28.5816i | −0.969005 | − | 1.67837i | ||||
\(291\) | −3.06247 | − | 5.30436i | −0.179525 | − | 0.310947i | ||||
\(292\) | −26.6932 | + | 46.2340i | −1.56210 | + | 2.70564i | ||||
\(293\) | 14.9070 | 0.870874 | 0.435437 | − | 0.900219i | \(-0.356594\pi\) | ||||
0.435437 | + | 0.900219i | \(0.356594\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −16.9786 | −0.988531 | ||||||||
\(296\) | −14.8610 | + | 25.7400i | −0.863777 | + | 1.49611i | ||||
\(297\) | 3.07896 | + | 5.33292i | 0.178659 | + | 0.309447i | ||||
\(298\) | −2.53948 | − | 4.39851i | −0.147108 | − | 0.254799i | ||||
\(299\) | −1.58757 | + | 2.74975i | −0.0918114 | + | 0.159022i | ||||
\(300\) | −12.7862 | −0.738213 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 34.9357 | 2.01033 | ||||||||
\(303\) | 6.38890 | − | 11.0659i | 0.367033 | − | 0.635720i | ||||
\(304\) | −2.00000 | − | 3.46410i | −0.114708 | − | 0.198680i | ||||
\(305\) | −1.34292 | − | 2.32601i | −0.0768956 | − | 0.133187i | ||||
\(306\) | −11.5181 | + | 19.9499i | −0.658444 | + | 1.14046i | ||||
\(307\) | −26.0288 | −1.48554 | −0.742770 | − | 0.669546i | \(-0.766488\pi\) | ||||
−0.742770 | + | 0.669546i | \(0.766488\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 3.91431 | 0.222677 | ||||||||
\(310\) | 2.57318 | − | 4.45688i | 0.146147 | − | 0.253134i | ||||
\(311\) | 9.74832 | + | 16.8846i | 0.552776 | + | 0.957437i | 0.998073 | + | 0.0620536i | \(0.0197650\pi\) |
−0.445296 | + | 0.895383i | \(0.646902\pi\) | |||||||
\(312\) | 2.00000 | + | 3.46410i | 0.113228 | + | 0.196116i | ||||
\(313\) | −1.74097 | + | 3.01545i | −0.0984055 | + | 0.170443i | −0.911025 | − | 0.412352i | \(-0.864708\pi\) |
0.812619 | + | 0.582795i | \(0.198041\pi\) | |||||||
\(314\) | −53.5787 | −3.02362 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 3.07896 | 0.173205 | ||||||||
\(317\) | −2.51071 | + | 4.34868i | −0.141016 | + | 0.244246i | −0.927879 | − | 0.372881i | \(-0.878370\pi\) |
0.786864 | + | 0.617127i | \(0.211703\pi\) | |||||||
\(318\) | 1.05019 | + | 1.81899i | 0.0588918 | + | 0.102004i | ||||
\(319\) | −6.01228 | − | 10.4136i | −0.336623 | − | 0.583048i | ||||
\(320\) | 8.17513 | − | 14.1597i | 0.457004 | − | 0.791554i | ||||
\(321\) | 5.70727 | 0.318549 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −19.4966 | −1.08482 | ||||||||
\(324\) | 1.91978 | − | 3.32515i | 0.106654 | − | 0.184731i | ||||
\(325\) | −1.59828 | − | 2.76830i | −0.0886566 | − | 0.153558i | ||||
\(326\) | −8.29273 | − | 14.3634i | −0.459292 | − | 0.795517i | ||||
\(327\) | 7.73604 | − | 13.3992i | 0.427804 | − | 0.740978i | ||||
\(328\) | 1.02142 | 0.0563986 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 4.13481 | 0.227614 | ||||||||
\(331\) | 3.07475 | − | 5.32562i | 0.169004 | − | 0.292723i | −0.769066 | − | 0.639169i | \(-0.779278\pi\) |
0.938070 | + | 0.346446i | \(0.112612\pi\) | |||||||
\(332\) | −21.1611 | − | 36.6520i | −1.16136 | − | 2.01154i | ||||
\(333\) | 7.18007 | + | 12.4362i | 0.393465 | + | 0.681502i | ||||
\(334\) | 3.06247 | − | 5.30436i | 0.167571 | − | 0.290241i | ||||
\(335\) | −8.19235 | −0.447596 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −25.6258 | −1.39593 | −0.697963 | − | 0.716134i | \(-0.745910\pi\) | ||||
−0.697963 | + | 0.716134i | \(0.745910\pi\) | |||||||
\(338\) | −1.17146 | + | 2.02903i | −0.0637191 | + | 0.110365i | ||||
\(339\) | −9.42682 | − | 16.3277i | −0.511994 | − | 0.886800i | ||||
\(340\) | 13.6644 | + | 23.6675i | 0.741057 | + | 1.28355i | ||||
\(341\) | 0.937529 | − | 1.62385i | 0.0507700 | − | 0.0879363i | ||||
\(342\) | −13.2039 | −0.713985 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −28.4507 | −1.53396 | ||||||||
\(345\) | 2.44403 | − | 4.23318i | 0.131582 | − | 0.227907i | ||||
\(346\) | 12.8898 | + | 22.3257i | 0.692957 | + | 1.20024i | ||||
\(347\) | 8.35027 | + | 14.4631i | 0.448266 | + | 0.776419i | 0.998273 | − | 0.0587404i | \(-0.0187084\pi\) |
−0.550007 | + | 0.835160i | \(0.685375\pi\) | |||||||
\(348\) | −20.9786 | + | 36.3360i | −1.12457 | + | 1.94781i | ||||
\(349\) | 23.5500 | 1.26060 | 0.630300 | − | 0.776351i | \(-0.282932\pi\) | ||||
0.630300 | + | 0.776351i | \(0.282932\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 5.37169 | 0.286720 | ||||||||
\(352\) | 2.39312 | − | 4.14500i | 0.127553 | − | 0.220929i | ||||
\(353\) | −3.82487 | − | 6.62486i | −0.203577 | − | 0.352606i | 0.746101 | − | 0.665832i | \(-0.231923\pi\) |
−0.949678 | + | 0.313227i | \(0.898590\pi\) | |||||||
\(354\) | 16.9786 | + | 29.4078i | 0.902401 | + | 1.56300i | ||||
\(355\) | −1.03370 | + | 1.79042i | −0.0548632 | + | 0.0950259i | ||||
\(356\) | −20.0147 | −1.06078 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 56.1396 | 2.96707 | ||||||||
\(359\) | −9.18741 | + | 15.9131i | −0.484893 | + | 0.839860i | −0.999849 | − | 0.0173569i | \(-0.994475\pi\) |
0.514956 | + | 0.857216i | \(0.327808\pi\) | |||||||
\(360\) | 3.94981 | + | 6.84127i | 0.208173 | + | 0.360566i | ||||
\(361\) | 3.91243 | + | 6.77653i | 0.205918 | + | 0.356660i | ||||
\(362\) | 7.68585 | − | 13.3123i | 0.403959 | − | 0.699678i | ||||
\(363\) | −11.1035 | −0.582784 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 20.5468 | 1.07547 | ||||||||
\(366\) | −2.68585 | + | 4.65202i | −0.140391 | + | 0.243165i | ||||
\(367\) | 2.66936 | + | 4.62346i | 0.139339 | + | 0.241343i | 0.927247 | − | 0.374451i | \(-0.122169\pi\) |
−0.787907 | + | 0.615794i | \(0.788835\pi\) | |||||||
\(368\) | 1.89962 | + | 3.29023i | 0.0990243 | + | 0.171515i | ||||
\(369\) | 0.246750 | − | 0.427383i | 0.0128453 | − | 0.0222487i | ||||
\(370\) | 26.8009 | 1.39331 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −6.54262 | −0.339219 | ||||||||
\(373\) | −10.7606 | + | 18.6379i | −0.557163 | + | 0.965034i | 0.440569 | + | 0.897719i | \(0.354777\pi\) |
−0.997732 | + | 0.0673152i | \(0.978557\pi\) | |||||||
\(374\) | 7.83221 | + | 13.5658i | 0.404994 | + | 0.701470i | ||||
\(375\) | 6.30922 | + | 10.9279i | 0.325807 | + | 0.564314i | ||||
\(376\) | −18.5181 | + | 32.0742i | −0.954996 | + | 1.65410i | ||||
\(377\) | −10.4893 | −0.540226 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.61002 | 0.236801 | 0.118400 | − | 0.992966i | \(-0.462223\pi\) | ||||
0.118400 | + | 0.992966i | \(0.462223\pi\) | |||||||
\(380\) | −7.83221 | + | 13.5658i | −0.401784 | + | 0.695910i | ||||
\(381\) | −6.91117 | − | 11.9705i | −0.354070 | − | 0.613267i | ||||
\(382\) | 5.14637 | + | 8.91377i | 0.263311 | + | 0.456068i | ||||
\(383\) | −4.16779 | + | 7.21882i | −0.212964 | + | 0.368865i | −0.952641 | − | 0.304098i | \(-0.901645\pi\) |
0.739677 | + | 0.672962i | \(0.234978\pi\) | |||||||
\(384\) | −23.1281 | −1.18025 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −19.4292 | −0.988922 | ||||||||
\(387\) | −6.87295 | + | 11.9043i | −0.349372 | + | 0.605130i | ||||
\(388\) | −9.32150 | − | 16.1453i | −0.473227 | − | 0.819654i | ||||
\(389\) | 3.22112 | + | 5.57914i | 0.163317 | + | 0.282873i | 0.936056 | − | 0.351850i | \(-0.114447\pi\) |
−0.772739 | + | 0.634724i | \(0.781114\pi\) | |||||||
\(390\) | 1.80344 | − | 3.12365i | 0.0913209 | − | 0.158172i | ||||
\(391\) | 18.5181 | 0.936498 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 4.20077 | 0.211901 | ||||||||
\(394\) | 3.71462 | − | 6.43390i | 0.187140 | − | 0.324135i | ||||
\(395\) | −0.592500 | − | 1.02624i | −0.0298119 | − | 0.0516358i | ||||
\(396\) | 3.37169 | + | 5.83994i | 0.169434 | + | 0.293468i | ||||
\(397\) | 0.700231 | − | 1.21284i | 0.0351436 | − | 0.0608705i | −0.847919 | − | 0.530126i | \(-0.822144\pi\) |
0.883062 | + | 0.469256i | \(0.155478\pi\) | |||||||
\(398\) | 31.8568 | 1.59684 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.82487 | −0.191243 | ||||||||
\(401\) | 3.48929 | − | 6.04363i | 0.174247 | − | 0.301804i | −0.765654 | − | 0.643253i | \(-0.777584\pi\) |
0.939900 | + | 0.341449i | \(0.110918\pi\) | |||||||
\(402\) | 8.19235 | + | 14.1896i | 0.408597 | + | 0.707711i | ||||
\(403\) | −0.817827 | − | 1.41652i | −0.0407389 | − | 0.0705618i | ||||
\(404\) | 19.4464 | − | 33.6822i | 0.967497 | − | 1.67575i | ||||
\(405\) | −1.47773 | −0.0734291 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 9.76481 | 0.484024 | ||||||||
\(408\) | 11.6644 | − | 20.2034i | 0.577475 | − | 1.00022i | ||||
\(409\) | −9.18952 | − | 15.9167i | −0.454392 | − | 0.787031i | 0.544261 | − | 0.838916i | \(-0.316810\pi\) |
−0.998653 | + | 0.0518854i | \(0.983477\pi\) | |||||||
\(410\) | −0.460519 | − | 0.797643i | −0.0227434 | − | 0.0393928i | ||||
\(411\) | 7.51071 | − | 13.0089i | 0.370476 | − | 0.641683i | ||||
\(412\) | 11.9143 | 0.586976 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 12.5412 | 0.616365 | ||||||||
\(415\) | −8.14426 | + | 14.1063i | −0.399786 | + | 0.692450i | ||||
\(416\) | −2.08757 | − | 3.61577i | −0.102351 | − | 0.177278i | ||||
\(417\) | 4.29694 | + | 7.44252i | 0.210422 | + | 0.364462i | ||||
\(418\) | −4.48929 | + | 7.77568i | −0.219578 | + | 0.380321i | ||||
\(419\) | 30.0393 | 1.46751 | 0.733757 | − | 0.679412i | \(-0.237765\pi\) | ||||
0.733757 | + | 0.679412i | \(0.237765\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −8.31729 | −0.405360 | −0.202680 | − | 0.979245i | \(-0.564965\pi\) | ||||
−0.202680 | + | 0.979245i | \(0.564965\pi\) | |||||||
\(422\) | −10.8659 | + | 18.8203i | −0.528944 | + | 0.916159i | ||||
\(423\) | 8.94698 | + | 15.4966i | 0.435017 | + | 0.753472i | ||||
\(424\) | 1.36435 | + | 2.36312i | 0.0662585 | + | 0.114763i | ||||
\(425\) | −9.32150 | + | 16.1453i | −0.452159 | + | 0.783163i | ||||
\(426\) | 4.13481 | 0.200332 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 17.3717 | 0.839692 | ||||||||
\(429\) | 0.657077 | − | 1.13809i | 0.0317240 | − | 0.0549475i | ||||
\(430\) | 12.8273 | + | 22.2175i | 0.618586 | + | 1.07142i | ||||
\(431\) | −4.82487 | − | 8.35691i | −0.232406 | − | 0.402538i | 0.726110 | − | 0.687579i | \(-0.241326\pi\) |
−0.958516 | + | 0.285040i | \(0.907993\pi\) | |||||||
\(432\) | 3.21377 | − | 5.56641i | 0.154623 | − | 0.267814i | ||||
\(433\) | −26.3074 | −1.26425 | −0.632127 | − | 0.774865i | \(-0.717818\pi\) | ||||
−0.632127 | + | 0.774865i | \(0.717818\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 16.1481 | 0.774240 | ||||||||
\(436\) | 23.5468 | − | 40.7843i | 1.12769 | − | 1.95321i | ||||
\(437\) | 5.30712 | + | 9.19219i | 0.253874 | + | 0.439722i | ||||
\(438\) | −20.5468 | − | 35.5881i | −0.981765 | − | 1.70047i | ||||
\(439\) | 16.9070 | − | 29.2837i | 0.806925 | − | 1.39764i | −0.108058 | − | 0.994145i | \(-0.534463\pi\) |
0.914984 | − | 0.403491i | \(-0.132203\pi\) | |||||||
\(440\) | 5.37169 | 0.256085 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 13.6644 | 0.649950 | ||||||||
\(443\) | −13.2232 | + | 22.9033i | −0.628254 | + | 1.08817i | 0.359648 | + | 0.933088i | \(0.382897\pi\) |
−0.987902 | + | 0.155080i | \(0.950436\pi\) | |||||||
\(444\) | −17.0361 | − | 29.5074i | −0.808498 | − | 1.40036i | ||||
\(445\) | 3.85153 | + | 6.67104i | 0.182580 | + | 0.316238i | ||||
\(446\) | −22.9522 | + | 39.7544i | −1.08682 | + | 1.88243i | ||||
\(447\) | 2.48508 | 0.117540 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 2.64300 | 0.124731 | 0.0623655 | − | 0.998053i | \(-0.480136\pi\) | ||||
0.0623655 | + | 0.998053i | \(0.480136\pi\) | |||||||
\(450\) | −6.31289 | + | 10.9343i | −0.297593 | + | 0.515446i | ||||
\(451\) | −0.167788 | − | 0.290618i | −0.00790084 | − | 0.0136847i | ||||
\(452\) | −28.6932 | − | 49.6981i | −1.34961 | − | 2.33760i | ||||
\(453\) | −8.54683 | + | 14.8035i | −0.401565 | + | 0.695531i | ||||
\(454\) | 46.0722 | 2.16228 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 13.3717 | 0.626187 | ||||||||
\(457\) | 16.8445 | − | 29.1755i | 0.787952 | − | 1.36477i | −0.139268 | − | 0.990255i | \(-0.544475\pi\) |
0.927220 | − | 0.374518i | \(-0.122192\pi\) | |||||||
\(458\) | 9.09617 | + | 15.7550i | 0.425036 | + | 0.736184i | ||||
\(459\) | −15.6644 | − | 27.1316i | −0.731153 | − | 1.26639i | ||||
\(460\) | 7.43910 | − | 12.8849i | 0.346850 | − | 0.600761i | ||||
\(461\) | −33.0790 | −1.54064 | −0.770320 | − | 0.637657i | \(-0.779904\pi\) | ||||
−0.770320 | + | 0.637657i | \(0.779904\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −2.51806 | −0.117024 | −0.0585120 | − | 0.998287i | \(-0.518636\pi\) | ||||
−0.0585120 | + | 0.998287i | \(0.518636\pi\) | |||||||
\(464\) | −6.27552 | + | 10.8695i | −0.291334 | + | 0.504605i | ||||
\(465\) | 1.25903 | + | 2.18070i | 0.0583861 | + | 0.101128i | ||||
\(466\) | −14.2878 | − | 24.7472i | −0.661869 | − | 1.14639i | ||||
\(467\) | 1.28780 | − | 2.23053i | 0.0595922 | − | 0.103217i | −0.834690 | − | 0.550720i | \(-0.814353\pi\) |
0.894282 | + | 0.447503i | \(0.147687\pi\) | |||||||
\(468\) | 5.88240 | 0.271914 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 33.3963 | 1.54045 | ||||||||
\(471\) | 13.1077 | − | 22.7033i | 0.603972 | − | 1.04611i | ||||
\(472\) | 22.0575 | + | 38.2048i | 1.01528 | + | 1.75852i | ||||
\(473\) | 4.67357 | + | 8.09486i | 0.214891 | + | 0.372202i | ||||
\(474\) | −1.18500 | + | 2.05248i | −0.0544289 | + | 0.0942736i | ||||
\(475\) | −10.6858 | −0.490300 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 1.31836 | 0.0603638 | ||||||||
\(478\) | 12.0575 | − | 20.8843i | 0.551499 | − | 0.955224i | ||||
\(479\) | 0.256923 | + | 0.445005i | 0.0117391 | + | 0.0203328i | 0.871835 | − | 0.489799i | \(-0.162930\pi\) |
−0.860096 | + | 0.510132i | \(0.829597\pi\) | |||||||
\(480\) | 3.21377 | + | 5.56641i | 0.146688 | + | 0.254071i | ||||
\(481\) | 4.25903 | − | 7.37685i | 0.194195 | − | 0.336356i | ||||
\(482\) | 9.43910 | 0.429939 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −33.7967 | −1.53621 | ||||||||
\(485\) | −3.58757 | + | 6.21385i | −0.162903 | + | 0.282156i | ||||
\(486\) | −17.4005 | − | 30.1385i | −0.789301 | − | 1.36711i | ||||
\(487\) | −18.0288 | − | 31.2267i | −0.816962 | − | 1.41502i | −0.907911 | − | 0.419163i | \(-0.862323\pi\) |
0.0909493 | − | 0.995856i | \(-0.471010\pi\) | |||||||
\(488\) | −3.48929 | + | 6.04363i | −0.157953 | + | 0.273582i | ||||
\(489\) | 8.11508 | 0.366976 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −9.22846 | −0.416475 | −0.208237 | − | 0.978078i | \(-0.566773\pi\) | ||||
−0.208237 | + | 0.978078i | \(0.566773\pi\) | |||||||
\(492\) | −0.585462 | + | 1.01405i | −0.0263947 | + | 0.0457169i | ||||
\(493\) | 30.5879 | + | 52.9798i | 1.37761 | + | 2.38609i | ||||
\(494\) | 3.91611 | + | 6.78289i | 0.176194 | + | 0.305177i | ||||
\(495\) | 1.29766 | − | 2.24762i | 0.0583257 | − | 0.101023i | ||||
\(496\) | −1.95715 | −0.0878788 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 32.5770 | 1.45981 | ||||||||
\(499\) | −0.501568 | + | 0.868741i | −0.0224533 | + | 0.0388902i | −0.877034 | − | 0.480429i | \(-0.840481\pi\) |
0.854580 | + | 0.519319i | \(0.173814\pi\) | |||||||
\(500\) | 19.2039 | + | 33.2621i | 0.858825 | + | 1.48753i | ||||
\(501\) | 1.49843 | + | 2.59536i | 0.0669450 | + | 0.115952i | ||||
\(502\) | 3.41033 | − | 5.90686i | 0.152210 | − | 0.263636i | ||||
\(503\) | 30.3503 | 1.35325 | 0.676626 | − | 0.736327i | \(-0.263441\pi\) | ||||
0.676626 | + | 0.736327i | \(0.263441\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −14.9687 | −0.666099 | ||||||||
\(506\) | 4.26396 | − | 7.38540i | 0.189556 | − | 0.328321i | ||||
\(507\) | −0.573183 | − | 0.992782i | −0.0254559 | − | 0.0440910i | ||||
\(508\) | −21.0361 | − | 36.4356i | −0.933327 | − | 1.61657i | ||||
\(509\) | 5.29977 | − | 9.17947i | 0.234908 | − | 0.406873i | −0.724338 | − | 0.689445i | \(-0.757854\pi\) |
0.959246 | + | 0.282572i | \(0.0911877\pi\) | |||||||
\(510\) | −21.0361 | −0.931495 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −13.3461 | −0.589818 | ||||||||
\(513\) | 8.97858 | − | 15.5514i | 0.396414 | − | 0.686609i | ||||
\(514\) | −22.9572 | − | 39.7630i | −1.01260 | − | 1.75387i | ||||
\(515\) | −2.29273 | − | 3.97113i | −0.101030 | − | 0.174989i | ||||
\(516\) | 16.3074 | − | 28.2453i | 0.717894 | − | 1.24343i | ||||
\(517\) | 12.1678 | 0.535139 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −12.6136 | −0.553676 | ||||||||
\(520\) | 2.34292 | − | 4.05806i | 0.102744 | − | 0.177958i | ||||
\(521\) | −8.13229 | − | 14.0855i | −0.356282 | − | 0.617099i | 0.631054 | − | 0.775739i | \(-0.282622\pi\) |
−0.987337 | + | 0.158640i | \(0.949289\pi\) | |||||||
\(522\) | 20.7153 | + | 35.8800i | 0.906686 | + | 1.57043i | ||||
\(523\) | 3.61110 | − | 6.25460i | 0.157902 | − | 0.273495i | −0.776210 | − | 0.630475i | \(-0.782860\pi\) |
0.934112 | + | 0.356980i | \(0.116194\pi\) | |||||||
\(524\) | 12.7862 | 0.558569 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 17.7318 | 0.773144 | ||||||||
\(527\) | −4.76974 | + | 8.26143i | −0.207773 | + | 0.359874i | ||||
\(528\) | −0.786230 | − | 1.36179i | −0.0342163 | − | 0.0592643i | ||||
\(529\) | 6.45926 | + | 11.1878i | 0.280837 | + | 0.486425i | ||||
\(530\) | 1.23026 | − | 2.13087i | 0.0534391 | − | 0.0925592i | ||||
\(531\) | 21.3142 | 0.924955 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.292731 | −0.0126796 | ||||||||
\(534\) | 7.70306 | − | 13.3421i | 0.333344 | − | 0.577369i | ||||
\(535\) | −3.34292 | − | 5.79011i | −0.144527 | − | 0.250328i | ||||
\(536\) | 10.6430 | + | 18.4342i | 0.459708 | + | 0.796237i | ||||
\(537\) | −13.7342 | + | 23.7884i | −0.592676 | + | 1.02655i | ||||
\(538\) | 22.1923 | 0.956780 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −25.1709 | −1.08318 | ||||||||
\(541\) | −8.67670 | + | 15.0285i | −0.373041 | + | 0.646125i | −0.990032 | − | 0.140845i | \(-0.955018\pi\) |
0.616991 | + | 0.786970i | \(0.288351\pi\) | |||||||
\(542\) | 34.4078 | + | 59.5961i | 1.47794 | + | 2.55987i | ||||
\(543\) | 3.76060 | + | 6.51354i | 0.161383 | + | 0.279523i | ||||
\(544\) | −12.1751 | + | 21.0880i | −0.522005 | + | 0.904138i | ||||
\(545\) | −18.1249 | −0.776387 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −34.1109 | −1.45848 | −0.729238 | − | 0.684261i | \(-0.760125\pi\) | ||||
−0.729238 | + | 0.684261i | \(0.760125\pi\) | |||||||
\(548\) | 22.8610 | − | 39.5964i | 0.976573 | − | 1.69147i | ||||
\(549\) | 1.68585 | + | 2.91997i | 0.0719502 | + | 0.124621i | ||||
\(550\) | 4.29273 | + | 7.43523i | 0.183043 | + | 0.317039i | ||||
\(551\) | −17.5324 | + | 30.3671i | −0.746907 | + | 1.29368i | ||||
\(552\) | −12.7005 | −0.540571 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −4.46052 | −0.189509 | ||||||||
\(555\) | −6.55669 | + | 11.3565i | −0.278316 | + | 0.482058i | ||||
\(556\) | 13.0790 | + | 22.6534i | 0.554672 | + | 0.960719i | ||||
\(557\) | 6.61110 | + | 11.4508i | 0.280121 | + | 0.485184i | 0.971414 | − | 0.237390i | \(-0.0762920\pi\) |
−0.691293 | + | 0.722574i | \(0.742959\pi\) | |||||||
\(558\) | −3.23026 | + | 5.59497i | −0.136748 | + | 0.236854i | ||||
\(559\) | 8.15371 | 0.344865 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −7.66442 | −0.323592 | ||||||||
\(562\) | 24.1035 | − | 41.7485i | 1.01675 | − | 1.76106i | ||||
\(563\) | −20.6858 | − | 35.8289i | −0.871804 | − | 1.51001i | −0.860128 | − | 0.510078i | \(-0.829617\pi\) |
−0.0116762 | − | 0.999932i | \(-0.503717\pi\) | |||||||
\(564\) | −21.2285 | − | 36.7688i | −0.893880 | − | 1.54824i | ||||
\(565\) | −11.0432 | + | 19.1273i | −0.464589 | + | 0.804692i | ||||
\(566\) | 63.2432 | 2.65831 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 5.37169 | 0.225391 | ||||||||
\(569\) | 1.34082 | − | 2.32236i | 0.0562100 | − | 0.0973586i | −0.836551 | − | 0.547889i | \(-0.815432\pi\) |
0.892761 | + | 0.450530i | \(0.148765\pi\) | |||||||
\(570\) | −6.02877 | − | 10.4421i | −0.252517 | − | 0.437373i | ||||
\(571\) | 14.4658 | + | 25.0554i | 0.605373 | + | 1.04854i | 0.991992 | + | 0.126298i | \(0.0403095\pi\) |
−0.386619 | + | 0.922239i | \(0.626357\pi\) | |||||||
\(572\) | 2.00000 | − | 3.46410i | 0.0836242 | − | 0.144841i | ||||
\(573\) | −5.03612 | −0.210387 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 10.1495 | 0.423263 | ||||||||
\(576\) | −10.2627 | + | 17.7755i | −0.427613 | + | 0.740647i | ||||
\(577\) | 18.7648 | + | 32.5016i | 0.781189 | + | 1.35306i | 0.931249 | + | 0.364382i | \(0.118720\pi\) |
−0.150060 | + | 0.988677i | \(0.547947\pi\) | |||||||
\(578\) | −19.9321 | − | 34.5233i | −0.829064 | − | 1.43598i | ||||
\(579\) | 4.75325 | − | 8.23287i | 0.197538 | − | 0.342146i | ||||
\(580\) | 49.1512 | 2.04089 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 14.3503 | 0.594838 | ||||||||
\(583\) | 0.448240 | − | 0.776375i | 0.0185642 | − | 0.0321542i | ||||
\(584\) | −26.6932 | − | 46.2340i | −1.10457 | − | 1.91318i | ||||
\(585\) | −1.13198 | − | 1.96065i | −0.0468016 | − | 0.0810628i | ||||
\(586\) | −17.4629 | + | 30.2467i | −0.721387 | + | 1.24948i | ||||
\(587\) | −23.0649 | −0.951990 | −0.475995 | − | 0.879448i | \(-0.657912\pi\) | ||||
−0.475995 | + | 0.879448i | \(0.657912\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −5.46787 | −0.225299 | ||||||||
\(590\) | 19.8898 | − | 34.4501i | 0.818848 | − | 1.41829i | ||||
\(591\) | 1.81752 | + | 3.14804i | 0.0747627 | + | 0.129493i | ||||
\(592\) | −5.09617 | − | 8.82683i | −0.209451 | − | 0.362781i | ||||
\(593\) | −5.52510 | + | 9.56975i | −0.226889 | + | 0.392982i | −0.956884 | − | 0.290469i | \(-0.906189\pi\) |
0.729996 | + | 0.683452i | \(0.239522\pi\) | |||||||
\(594\) | −14.4275 | −0.591969 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 7.56404 | 0.309835 | ||||||||
\(597\) | −7.79358 | + | 13.4989i | −0.318970 | + | 0.552472i | ||||
\(598\) | −3.71955 | − | 6.44245i | −0.152104 | − | 0.263451i | ||||
\(599\) | 22.3022 | + | 38.6285i | 0.911242 | + | 1.57832i | 0.812311 | + | 0.583224i | \(0.198209\pi\) |
0.0989311 | + | 0.995094i | \(0.468458\pi\) | |||||||
\(600\) | 6.39312 | − | 11.0732i | 0.260998 | − | 0.452062i | ||||
\(601\) | −47.8715 | −1.95272 | −0.976359 | − | 0.216156i | \(-0.930648\pi\) | ||||
−0.976359 | + | 0.216156i | \(0.930648\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 10.2843 | 0.418809 | ||||||||
\(604\) | −26.0147 | + | 45.0588i | −1.05852 | + | 1.83342i | ||||
\(605\) | 6.50367 | + | 11.2647i | 0.264412 | + | 0.457975i | ||||
\(606\) | 14.9687 | + | 25.9266i | 0.608062 | + | 1.05319i | ||||
\(607\) | 22.5345 | − | 39.0310i | 0.914649 | − | 1.58422i | 0.107235 | − | 0.994234i | \(-0.465800\pi\) |
0.807414 | − | 0.589985i | \(-0.200866\pi\) | |||||||
\(608\) | −13.9572 | −0.566037 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 6.29273 | 0.254785 | ||||||||
\(611\) | 5.30712 | − | 9.19219i | 0.214703 | − | 0.371876i | ||||
\(612\) | −17.1537 | − | 29.7111i | −0.693398 | − | 1.20100i | ||||
\(613\) | 12.7606 | + | 22.1020i | 0.515396 | + | 0.892691i | 0.999840 | + | 0.0178695i | \(0.00568836\pi\) |
−0.484445 | + | 0.874822i | \(0.660978\pi\) | |||||||
\(614\) | 30.4917 | − | 52.8132i | 1.23054 | − | 2.13137i | ||||
\(615\) | 0.450654 | 0.0181721 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 29.2432 | 1.17729 | 0.588643 | − | 0.808393i | \(-0.299663\pi\) | ||||
0.588643 | + | 0.808393i | \(0.299663\pi\) | |||||||
\(618\) | −4.58546 | + | 7.94225i | −0.184454 | + | 0.319484i | ||||
\(619\) | 2.39312 | + | 4.14500i | 0.0961874 | + | 0.166601i | 0.910104 | − | 0.414381i | \(-0.136002\pi\) |
−0.813916 | + | 0.580982i | \(0.802669\pi\) | |||||||
\(620\) | 3.83221 | + | 6.63759i | 0.153905 | + | 0.266572i | ||||
\(621\) | −8.52792 | + | 14.7708i | −0.342214 | + | 0.592732i | ||||
\(622\) | −45.6791 | −1.83157 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −1.37169 | −0.0549116 | ||||||||
\(625\) | −0.600384 | + | 1.03990i | −0.0240154 | + | 0.0415958i | ||||
\(626\) | −4.07896 | − | 7.06497i | −0.163028 | − | 0.282373i | ||||
\(627\) | −2.19656 | − | 3.80455i | −0.0877221 | − | 0.151939i | ||||
\(628\) | 39.8971 | − | 69.1038i | 1.59207 | − | 2.75754i | ||||
\(629\) | −49.6791 | −1.98084 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −28.3931 | −1.13031 | −0.565156 | − | 0.824984i | \(-0.691184\pi\) | ||||
−0.565156 | + | 0.824984i | \(0.691184\pi\) | |||||||
\(632\) | −1.53948 | + | 2.66646i | −0.0612373 | + | 0.106066i | ||||
\(633\) | −5.31657 | − | 9.20856i | −0.211315 | − | 0.366008i | ||||
\(634\) | −5.88240 | − | 10.1886i | −0.233620 | − | 0.404642i | ||||
\(635\) | −8.09617 | + | 14.0230i | −0.321287 | + | 0.556485i | ||||
\(636\) | −3.12808 | −0.124036 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 28.1726 | 1.11536 | ||||||||
\(639\) | 1.29766 | − | 2.24762i | 0.0513348 | − | 0.0889145i | ||||
\(640\) | 13.5468 | + | 23.4638i | 0.535485 | + | 0.927488i | ||||
\(641\) | −2.98068 | − | 5.16269i | −0.117730 | − | 0.203914i | 0.801138 | − | 0.598480i | \(-0.204228\pi\) |
−0.918868 | + | 0.394566i | \(0.870895\pi\) | |||||||
\(642\) | −6.68585 | + | 11.5802i | −0.263869 | + | 0.457035i | ||||
\(643\) | −31.1940 | −1.23017 | −0.615086 | − | 0.788460i | \(-0.710879\pi\) | ||||
−0.615086 | + | 0.788460i | \(0.710879\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −12.5525 | −0.494253 | ||||||||
\(646\) | 22.8396 | − | 39.5593i | 0.898610 | − | 1.55644i | ||||
\(647\) | 7.45559 | + | 12.9135i | 0.293109 | + | 0.507680i | 0.974543 | − | 0.224199i | \(-0.0719767\pi\) |
−0.681434 | + | 0.731880i | \(0.738643\pi\) | |||||||
\(648\) | 1.91978 | + | 3.32515i | 0.0754160 | + | 0.130624i | ||||
\(649\) | 7.24675 | − | 12.5517i | 0.284460 | − | 0.492699i | ||||
\(650\) | 7.48929 | 0.293754 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 24.7005 | 0.967348 | ||||||||
\(653\) | 1.78623 | − | 3.09384i | 0.0699006 | − | 0.121071i | −0.828957 | − | 0.559313i | \(-0.811065\pi\) |
0.898857 | + | 0.438241i | \(0.144398\pi\) | |||||||
\(654\) | 18.1249 | + | 31.3933i | 0.708741 | + | 1.22758i | ||||
\(655\) | −2.46052 | − | 4.26174i | −0.0961404 | − | 0.166520i | ||||
\(656\) | −0.175135 | + | 0.303342i | −0.00683786 | + | 0.0118435i | ||||
\(657\) | −25.7936 | −1.00630 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −3.90383 | −0.152071 | −0.0760357 | − | 0.997105i | \(-0.524226\pi\) | ||||
−0.0760357 | + | 0.997105i | \(0.524226\pi\) | |||||||
\(660\) | −3.07896 | + | 5.33292i | −0.119848 | + | 0.207584i | ||||
\(661\) | 6.89679 | + | 11.9456i | 0.268254 | + | 0.464630i | 0.968411 | − | 0.249359i | \(-0.0802200\pi\) |
−0.700157 | + | 0.713989i | \(0.746887\pi\) | |||||||
\(662\) | 7.20390 | + | 12.4775i | 0.279988 | + | 0.484953i | ||||
\(663\) | −3.34292 | + | 5.79011i | −0.129828 | + | 0.224869i | ||||
\(664\) | 42.3221 | 1.64242 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −33.6447 | −1.30371 | ||||||||
\(667\) | 16.6525 | − | 28.8429i | 0.644786 | − | 1.11680i | ||||
\(668\) | 4.56090 | + | 7.89972i | 0.176467 | + | 0.305649i | ||||
\(669\) | −11.2303 | − | 19.4514i | −0.434187 | − | 0.752034i | ||||
\(670\) | 9.59702 | − | 16.6225i | 0.370765 | − | 0.642184i | ||||
\(671\) | 2.29273 | 0.0885099 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 5.70306 | 0.219837 | 0.109918 | − | 0.993941i | \(-0.464941\pi\) | ||||
0.109918 | + | 0.993941i | \(0.464941\pi\) | |||||||
\(674\) | 30.0196 | − | 51.9955i | 1.15631 | − | 2.00279i | ||||
\(675\) | −8.58546 | − | 14.8705i | −0.330455 | − | 0.572364i | ||||
\(676\) | −1.74464 | − | 3.02181i | −0.0671017 | − | 0.116224i | ||||
\(677\) | 17.6307 | − | 30.5373i | 0.677604 | − | 1.17364i | −0.298097 | − | 0.954536i | \(-0.596352\pi\) |
0.975701 | − | 0.219108i | \(-0.0703148\pi\) | |||||||
\(678\) | 44.1726 | 1.69644 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −27.3288 | −1.04801 | ||||||||
\(681\) | −11.2713 | + | 19.5225i | −0.431917 | + | 0.748103i | ||||
\(682\) | 2.19656 | + | 3.80455i | 0.0841105 | + | 0.145684i | ||||
\(683\) | −0.518058 | − | 0.897302i | −0.0198229 | − | 0.0343343i | 0.855944 | − | 0.517069i | \(-0.172977\pi\) |
−0.875767 | + | 0.482735i | \(0.839644\pi\) | |||||||
\(684\) | 9.83221 | − | 17.0299i | 0.375944 | − | 0.651154i | ||||
\(685\) | −17.5970 | −0.672348 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −8.90131 | −0.339606 | ||||||||
\(688\) | 4.87819 | − | 8.44928i | 0.185979 | − | 0.322126i | ||||
\(689\) | −0.391010 | − | 0.677249i | −0.0148963 | − | 0.0258011i | ||||
\(690\) | 5.72617 | + | 9.91802i | 0.217992 | + | 0.377573i | ||||
\(691\) | 1.83925 | − | 3.18567i | 0.0699684 | − | 0.121189i | −0.828919 | − | 0.559369i | \(-0.811043\pi\) |
0.898887 | + | 0.438180i | \(0.144377\pi\) | |||||||
\(692\) | −38.3931 | −1.45949 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −39.1281 | −1.48528 | ||||||||
\(695\) | 5.03370 | − | 8.71863i | 0.190939 | − | 0.330716i | ||||
\(696\) | −20.9786 | − | 36.3360i | −0.795191 | − | 1.37731i | ||||
\(697\) | 0.853635 | + | 1.47854i | 0.0323337 | + | 0.0560036i | ||||
\(698\) | −27.5879 | + | 47.7836i | −1.04422 | + | 1.80864i | ||||
\(699\) | 13.9817 | 0.528837 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −0.0617493 | −0.00233224 | −0.00116612 | − | 0.999999i | \(-0.500371\pi\) | ||||
−0.00116612 | + | 0.999999i | \(0.500371\pi\) | |||||||
\(702\) | −6.29273 | + | 10.8993i | −0.237504 | + | 0.411369i | ||||
\(703\) | −14.2376 | − | 24.6603i | −0.536981 | − | 0.930079i | ||||
\(704\) | 6.97858 | + | 12.0873i | 0.263015 | + | 0.455555i | ||||
\(705\) | −8.17020 | + | 14.1512i | −0.307708 | + | 0.532965i | ||||
\(706\) | 17.9227 | 0.674531 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −50.5720 | −1.90061 | ||||||||
\(709\) | 21.4917 | − | 37.2247i | 0.807138 | − | 1.39800i | −0.107701 | − | 0.994183i | \(-0.534349\pi\) |
0.914838 | − | 0.403820i | \(-0.132318\pi\) | |||||||
\(710\) | −2.42188 | − | 4.19483i | −0.0908917 | − | 0.157429i | ||||
\(711\) | 0.743798 | + | 1.28830i | 0.0278946 | + | 0.0483149i | ||||
\(712\) | 10.0073 | − | 17.3332i | 0.375041 | − | 0.649590i | ||||
\(713\) | 5.19342 | 0.194495 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.53948 | −0.0575733 | ||||||||
\(716\) | −41.8041 | + | 72.4068i | −1.56229 | + | 2.70597i | ||||
\(717\) | 5.89962 | + | 10.2184i | 0.220325 | + | 0.381614i | ||||
\(718\) | −21.5254 | − | 37.2831i | −0.803321 | − | 1.39139i | ||||
\(719\) | 8.82728 | − | 15.2893i | 0.329202 | − | 0.570195i | −0.653152 | − | 0.757227i | \(-0.726554\pi\) |
0.982354 | + | 0.187033i | \(0.0598870\pi\) | |||||||
\(720\) | −2.70896 | −0.100957 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −18.3331 | −0.682286 | ||||||||
\(723\) | −2.30922 | + | 3.99969i | −0.0858809 | + | 0.148750i | ||||
\(724\) | 11.4464 | + | 19.8258i | 0.425404 | + | 0.736821i | ||||
\(725\) | 16.7648 | + | 29.0375i | 0.622629 | + | 1.07843i | ||||
\(726\) | 13.0073 | − | 22.5294i | 0.482748 | − | 0.836144i | ||||
\(727\) | 23.8077 | 0.882977 | 0.441488 | − | 0.897267i | \(-0.354451\pi\) | ||||
0.441488 | + | 0.897267i | \(0.354451\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 20.3288 | 0.752920 | ||||||||
\(730\) | −24.0698 | + | 41.6901i | −0.890864 | + | 1.54302i | ||||
\(731\) | −23.7771 | − | 41.1831i | −0.879427 | − | 1.52321i | ||||
\(732\) | −4.00000 | − | 6.92820i | −0.147844 | − | 0.256074i | ||||
\(733\) | 15.6746 | − | 27.1492i | 0.578954 | − | 1.00278i | −0.416645 | − | 0.909069i | \(-0.636794\pi\) |
0.995600 | − | 0.0937093i | \(-0.0298724\pi\) | |||||||
\(734\) | −12.5082 | −0.461686 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 13.2566 | 0.488645 | ||||||||
\(737\) | 3.49663 | − | 6.05635i | 0.128800 | − | 0.223088i | ||||
\(738\) | 0.578116 | + | 1.00133i | 0.0212807 | + | 0.0368593i | ||||
\(739\) | 12.4054 | + | 21.4868i | 0.456340 | + | 0.790404i | 0.998764 | − | 0.0497009i | \(-0.0158268\pi\) |
−0.542424 | + | 0.840105i | \(0.682493\pi\) | |||||||
\(740\) | −19.9572 | + | 34.5668i | −0.733640 | + | 1.27070i | ||||
\(741\) | −3.83221 | −0.140780 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 21.3717 | 0.784051 | 0.392026 | − | 0.919954i | \(-0.371774\pi\) | ||||
0.392026 | + | 0.919954i | \(0.371774\pi\) | |||||||
\(744\) | 3.27131 | − | 5.66607i | 0.119932 | − | 0.207728i | ||||
\(745\) | −1.45559 | − | 2.52115i | −0.0533286 | − | 0.0923678i | ||||
\(746\) | −25.2113 | − | 43.6672i | −0.923049 | − | 1.59877i | ||||
\(747\) | 10.2239 | − | 17.7084i | 0.374075 | − | 0.647916i | ||||
\(748\) | −23.3288 | −0.852987 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −29.5640 | −1.07953 | ||||||||
\(751\) | −9.61213 | + | 16.6487i | −0.350751 | + | 0.607519i | −0.986381 | − | 0.164475i | \(-0.947407\pi\) |
0.635630 | + | 0.771994i | \(0.280740\pi\) | |||||||
\(752\) | −6.35027 | − | 10.9990i | −0.231571 | − | 0.401092i | ||||
\(753\) | 1.66863 | + | 2.89016i | 0.0608084 | + | 0.105323i | ||||
\(754\) | 12.2878 | − | 21.2831i | 0.447495 | − | 0.775084i | ||||
\(755\) | 20.0246 | 0.728768 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −19.8610 | −0.721860 | −0.360930 | − | 0.932593i | \(-0.617541\pi\) | ||||
−0.360930 | + | 0.932593i | \(0.617541\pi\) | |||||||
\(758\) | −5.40046 | + | 9.35387i | −0.196154 | + | 0.339748i | ||||
\(759\) | 2.08631 | + | 3.61359i | 0.0757282 | + | 0.131165i | ||||
\(760\) | −7.83221 | − | 13.5658i | −0.284104 | − | 0.492083i | ||||
\(761\) | 3.06037 | − | 5.30071i | 0.110938 | − | 0.192151i | −0.805211 | − | 0.592989i | \(-0.797948\pi\) |
0.916149 | + | 0.400838i | \(0.131281\pi\) | |||||||
\(762\) | 32.3847 | 1.17317 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −15.3288 | −0.554578 | ||||||||
\(765\) | −6.60195 | + | 11.4349i | −0.238694 | + | 0.413430i | ||||
\(766\) | −9.76481 | − | 16.9131i | −0.352817 | − | 0.611097i | ||||
\(767\) | −6.32150 | − | 10.9492i | −0.228256 | − | 0.395351i | ||||
\(768\) | 13.1365 | − | 22.7531i | 0.474023 | − | 0.821031i | ||||
\(769\) | −3.82800 | −0.138041 | −0.0690206 | − | 0.997615i | \(-0.521987\pi\) | ||||
−0.0690206 | + | 0.997615i | \(0.521987\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 22.4653 | 0.809070 | ||||||||
\(772\) | 14.4679 | − | 25.0591i | 0.520710 | − | 0.901896i | ||||
\(773\) | −3.26817 | − | 5.66064i | −0.117548 | − | 0.203599i | 0.801247 | − | 0.598333i | \(-0.204170\pi\) |
−0.918795 | + | 0.394734i | \(0.870837\pi\) | |||||||
\(774\) | −16.1028 | − | 27.8909i | −0.578803 | − | 1.00252i | ||||
\(775\) | −2.61423 | + | 4.52798i | −0.0939060 | + | 0.162650i | ||||
\(776\) | 18.6430 |