Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(362,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.362");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.s (of order \(6\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 10.0.288778218147.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + 7x^{8} - 4x^{7} + 34x^{6} - 19x^{5} + 64x^{4} - x^{3} + 64x^{2} - 21x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 362.1 | ||
Root | \(1.07065 - 1.85442i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.362 |
Dual form | 441.2.s.b.374.1 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.24607 | + | 1.29677i | −1.58821 | + | 0.916955i | −0.594611 | + | 0.804014i | \(0.702694\pi\) |
−0.993602 | + | 0.112941i | \(0.963973\pi\) | |||||||
\(3\) | −1.61958 | + | 0.613974i | −0.935064 | + | 0.354478i | ||||
\(4\) | 2.36322 | − | 4.09323i | 1.18161 | − | 2.04661i | ||||
\(5\) | −1.25299 | −0.560352 | −0.280176 | − | 0.959949i | \(-0.590393\pi\) | ||||
−0.280176 | + | 0.959949i | \(0.590393\pi\) | |||||||
\(6\) | 2.84151 | − | 3.47925i | 1.16004 | − | 1.42040i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 7.07116i | 2.50003i | ||||||||
\(9\) | 2.24607 | − | 1.98876i | 0.748690 | − | 0.662920i | ||||
\(10\) | 2.81429 | − | 1.62483i | 0.889958 | − | 0.513817i | ||||
\(11\) | − | 0.616756i | − | 0.185959i | −0.995668 | − | 0.0929794i | \(-0.970361\pi\) | ||
0.995668 | − | 0.0929794i | \(-0.0296391\pi\) | |||||||
\(12\) | −1.31429 | + | 8.08026i | −0.379404 | + | 2.33257i | ||||
\(13\) | 1.06343 | − | 0.613974i | 0.294944 | − | 0.170286i | −0.345226 | − | 0.938520i | \(-0.612198\pi\) |
0.640169 | + | 0.768234i | \(0.278864\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.02931 | − | 0.769301i | 0.523965 | − | 0.198633i | ||||
\(16\) | −4.44321 | − | 7.69587i | −1.11080 | − | 1.92397i | ||||
\(17\) | 2.21501 | + | 3.83652i | 0.537220 | + | 0.930492i | 0.999052 | + | 0.0435249i | \(0.0138588\pi\) |
−0.461833 | + | 0.886967i | \(0.652808\pi\) | |||||||
\(18\) | −2.46587 | + | 7.37953i | −0.581212 | + | 1.73937i | ||||
\(19\) | 1.64679 | + | 0.950775i | 0.377800 | + | 0.218123i | 0.676861 | − | 0.736111i | \(-0.263340\pi\) |
−0.299061 | + | 0.954234i | \(0.596673\pi\) | |||||||
\(20\) | −2.96109 | + | 5.12875i | −0.662119 | + | 1.14682i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.799790 | + | 1.38528i | 0.170516 | + | 0.295342i | ||||
\(23\) | 4.74890i | 0.990213i | 0.868832 | + | 0.495107i | \(0.164871\pi\) | ||||
−0.868832 | + | 0.495107i | \(0.835129\pi\) | |||||||
\(24\) | −4.34151 | − | 11.4523i | −0.886206 | − | 2.33769i | ||||
\(25\) | −3.43003 | −0.686006 | ||||||||
\(26\) | −1.59237 | + | 2.75806i | −0.312289 | + | 0.540900i | ||||
\(27\) | −2.41664 | + | 4.59998i | −0.465083 | + | 0.885267i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −5.07629 | − | 2.93080i | −0.942643 | − | 0.544235i | −0.0518553 | − | 0.998655i | \(-0.516513\pi\) |
−0.890788 | + | 0.454419i | \(0.849847\pi\) | |||||||
\(30\) | −3.56037 | + | 4.35945i | −0.650031 | + | 0.795923i | ||||
\(31\) | 2.14851 | + | 1.24044i | 0.385884 | + | 0.222790i | 0.680375 | − | 0.732864i | \(-0.261817\pi\) |
−0.294491 | + | 0.955654i | \(0.595150\pi\) | |||||||
\(32\) | 7.71195 | + | 4.45249i | 1.36329 | + | 0.787097i | ||||
\(33\) | 0.378672 | + | 0.998884i | 0.0659183 | + | 0.173883i | ||||
\(34\) | −9.95016 | − | 5.74473i | −1.70644 | − | 0.985213i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −2.83247 | − | 13.8936i | −0.472078 | − | 2.31559i | ||||
\(37\) | 1.33217 | − | 2.30738i | 0.219007 | − | 0.379331i | −0.735498 | − | 0.677527i | \(-0.763052\pi\) |
0.954505 | + | 0.298196i | \(0.0963849\pi\) | |||||||
\(38\) | −4.93175 | −0.800035 | ||||||||
\(39\) | −1.34535 | + | 1.64730i | −0.215429 | + | 0.263779i | ||||
\(40\) | − | 8.86005i | − | 1.40090i | ||||||
\(41\) | −2.09966 | − | 3.63671i | −0.327911 | − | 0.567959i | 0.654186 | − | 0.756334i | \(-0.273011\pi\) |
−0.982097 | + | 0.188375i | \(0.939678\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.24637 | + | 3.89083i | −0.342568 | + | 0.593346i | −0.984909 | − | 0.173073i | \(-0.944630\pi\) |
0.642340 | + | 0.766419i | \(0.277964\pi\) | |||||||
\(44\) | −2.52452 | − | 1.45753i | −0.380586 | − | 0.219731i | ||||
\(45\) | −2.81429 | + | 2.49189i | −0.419530 | + | 0.371468i | ||||
\(46\) | −6.15823 | − | 10.6664i | −0.907981 | − | 1.57267i | ||||
\(47\) | −3.80738 | − | 6.59458i | −0.555364 | − | 0.961918i | −0.997875 | − | 0.0651551i | \(-0.979246\pi\) |
0.442512 | − | 0.896763i | \(-0.354088\pi\) | |||||||
\(48\) | 11.9212 | + | 9.73605i | 1.72068 | + | 1.40528i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 7.70409 | − | 4.44796i | 1.08952 | − | 0.629036i | ||||
\(51\) | −5.94291 | − | 4.85358i | −0.832174 | − | 0.679637i | ||||
\(52\) | − | 5.80384i | − | 0.804847i | ||||||
\(53\) | 2.67782 | − | 1.54604i | 0.367827 | − | 0.212365i | −0.304682 | − | 0.952454i | \(-0.598550\pi\) |
0.672509 | + | 0.740089i | \(0.265217\pi\) | |||||||
\(54\) | −0.537165 | − | 13.4657i | −0.0730990 | − | 1.83245i | ||||
\(55\) | 0.772786i | 0.104202i | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −3.25086 | − | 0.528768i | −0.430587 | − | 0.0700371i | ||||
\(58\) | 15.2023 | 1.99616 | ||||||||
\(59\) | −1.78229 | + | 3.08702i | −0.232035 | + | 0.401896i | −0.958407 | − | 0.285406i | \(-0.907872\pi\) |
0.726372 | + | 0.687302i | \(0.241205\pi\) | |||||||
\(60\) | 1.64679 | − | 10.1244i | 0.212600 | − | 1.30706i | ||||
\(61\) | −12.5136 | + | 7.22473i | −1.60220 | + | 0.925032i | −0.611156 | + | 0.791510i | \(0.709295\pi\) |
−0.991046 | + | 0.133521i | \(0.957372\pi\) | |||||||
\(62\) | −6.43428 | −0.817154 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −5.32259 | −0.665324 | ||||||||
\(65\) | −1.33247 | + | 0.769301i | −0.165272 | + | 0.0954200i | ||||
\(66\) | −2.14585 | − | 1.75252i | −0.264136 | − | 0.215720i | ||||
\(67\) | −6.80644 | + | 11.7891i | −0.831539 | + | 1.44027i | 0.0652791 | + | 0.997867i | \(0.479206\pi\) |
−0.896818 | + | 0.442400i | \(0.854127\pi\) | |||||||
\(68\) | 20.9383 | 2.53914 | ||||||||
\(69\) | −2.91570 | − | 7.69121i | −0.351009 | − | 0.925913i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 10.4095i | 1.23538i | 0.786420 | + | 0.617692i | \(0.211932\pi\) | ||||
−0.786420 | + | 0.617692i | \(0.788068\pi\) | |||||||
\(72\) | 14.0628 | + | 15.8823i | 1.65732 | + | 1.87175i | ||||
\(73\) | −9.95016 | + | 5.74473i | −1.16458 | + | 0.672369i | −0.952397 | − | 0.304861i | \(-0.901390\pi\) |
−0.212181 | + | 0.977230i | \(0.568057\pi\) | |||||||
\(74\) | 6.91006i | 0.803278i | ||||||||
\(75\) | 5.55520 | − | 2.10595i | 0.641459 | − | 0.243174i | ||||
\(76\) | 7.78348 | − | 4.49379i | 0.892826 | − | 0.515473i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0.885586 | − | 5.44457i | 0.100273 | − | 0.616476i | ||||
\(79\) | 2.01592 | + | 3.49168i | 0.226809 | + | 0.392845i | 0.956861 | − | 0.290547i | \(-0.0938373\pi\) |
−0.730052 | + | 0.683392i | \(0.760504\pi\) | |||||||
\(80\) | 5.56728 | + | 9.64281i | 0.622441 | + | 1.07810i | ||||
\(81\) | 1.08967 | − | 8.93379i | 0.121075 | − | 0.992643i | ||||
\(82\) | 9.43196 | + | 5.44554i | 1.04159 | + | 0.601360i | ||||
\(83\) | −4.36775 | + | 7.56516i | −0.479422 | + | 0.830384i | −0.999721 | − | 0.0236001i | \(-0.992487\pi\) |
0.520299 | + | 0.853984i | \(0.325820\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.77538 | − | 4.80710i | −0.301032 | − | 0.521403i | ||||
\(86\) | − | 11.6521i | − | 1.25648i | ||||||
\(87\) | 10.0209 | + | 1.62995i | 1.07435 | + | 0.174749i | ||||
\(88\) | 4.36118 | 0.464903 | ||||||||
\(89\) | 0.811226 | − | 1.40508i | 0.0859897 | − | 0.148939i | −0.819823 | − | 0.572617i | \(-0.805928\pi\) |
0.905813 | + | 0.423679i | \(0.139261\pi\) | |||||||
\(90\) | 3.08970 | − | 9.24645i | 0.325683 | − | 0.974661i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 19.4383 | + | 11.2227i | 2.02658 | + | 1.17005i | ||||
\(93\) | −4.24128 | − | 0.689866i | −0.439801 | − | 0.0715357i | ||||
\(94\) | 17.1033 | + | 9.87459i | 1.76407 | + | 1.01849i | ||||
\(95\) | −2.06341 | − | 1.19131i | −0.211701 | − | 0.122226i | ||||
\(96\) | −15.2238 | − | 2.47623i | −1.55377 | − | 0.252729i | ||||
\(97\) | 8.76527 | + | 5.06063i | 0.889979 | + | 0.513829i | 0.873936 | − | 0.486042i | \(-0.161560\pi\) |
0.0160431 | + | 0.999871i | \(0.494893\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −1.22658 | − | 1.38528i | −0.123276 | − | 0.139226i | ||||
\(100\) | −8.10593 | + | 14.0399i | −0.810593 | + | 1.40399i | ||||
\(101\) | 1.71322 | 0.170472 | 0.0852360 | − | 0.996361i | \(-0.472836\pi\) | ||||
0.0852360 | + | 0.996361i | \(0.472836\pi\) | |||||||
\(102\) | 19.6422 | + | 3.19490i | 1.94487 | + | 0.316342i | ||||
\(103\) | 7.40526i | 0.729662i | 0.931074 | + | 0.364831i | \(0.118873\pi\) | ||||
−0.931074 | + | 0.364831i | \(0.881127\pi\) | |||||||
\(104\) | 4.34151 | + | 7.51971i | 0.425720 | + | 0.737368i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −4.00972 | + | 6.94503i | −0.389458 | + | 0.674561i | ||||
\(107\) | −0.131657 | − | 0.0760123i | −0.0127278 | − | 0.00734839i | 0.493623 | − | 0.869676i | \(-0.335672\pi\) |
−0.506350 | + | 0.862328i | \(0.669006\pi\) | |||||||
\(108\) | 13.1177 | + | 20.7627i | 1.26225 | + | 1.99789i | ||||
\(109\) | 2.70051 | + | 4.67742i | 0.258662 | + | 0.448016i | 0.965884 | − | 0.258976i | \(-0.0833851\pi\) |
−0.707222 | + | 0.706992i | \(0.750052\pi\) | |||||||
\(110\) | −1.00213 | − | 1.73573i | −0.0955489 | − | 0.165496i | ||||
\(111\) | −0.740877 | + | 4.55490i | −0.0703210 | + | 0.432332i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −5.60391 | + | 3.23542i | −0.527171 | + | 0.304362i | −0.739864 | − | 0.672757i | \(-0.765110\pi\) |
0.212693 | + | 0.977119i | \(0.431777\pi\) | |||||||
\(114\) | 7.98735 | − | 3.02797i | 0.748084 | − | 0.283595i | ||||
\(115\) | − | 5.95030i | − | 0.554868i | ||||||
\(116\) | −23.9928 | + | 13.8523i | −2.22768 | + | 1.28615i | ||||
\(117\) | 1.16750 | − | 3.49394i | 0.107936 | − | 0.323015i | ||||
\(118\) | − | 9.24490i | − | 0.851062i | ||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 5.43984 | + | 14.3496i | 0.496588 | + | 1.30993i | ||||
\(121\) | 10.6196 | 0.965419 | ||||||||
\(122\) | 18.7376 | − | 32.4545i | 1.69642 | − | 2.93829i | ||||
\(123\) | 5.63341 | + | 4.60081i | 0.507947 | + | 0.414841i | ||||
\(124\) | 10.1548 | − | 5.86289i | 0.911930 | − | 0.526503i | ||||
\(125\) | 10.5627 | 0.944757 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.93175 | −0.260151 | −0.130075 | − | 0.991504i | \(-0.541522\pi\) | ||||
−0.130075 | + | 0.991504i | \(0.541522\pi\) | |||||||
\(128\) | −3.46897 | + | 2.00281i | −0.306617 | + | 0.177025i | ||||
\(129\) | 1.24931 | − | 7.68072i | 0.109995 | − | 0.676250i | ||||
\(130\) | 1.99521 | − | 3.45581i | 0.174992 | − | 0.303094i | ||||
\(131\) | −16.2276 | −1.41782 | −0.708908 | − | 0.705301i | \(-0.750812\pi\) | ||||
−0.708908 | + | 0.705301i | \(0.750812\pi\) | |||||||
\(132\) | 4.98355 | + | 0.810598i | 0.433762 | + | 0.0705535i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | − | 35.3055i | − | 3.04993i | ||||||
\(135\) | 3.02802 | − | 5.76371i | 0.260610 | − | 0.496061i | ||||
\(136\) | −27.1286 | + | 15.6627i | −2.32626 | + | 1.34307i | ||||
\(137\) | − | 17.4026i | − | 1.48680i | −0.668845 | − | 0.743402i | \(-0.733211\pi\) | ||
0.668845 | − | 0.743402i | \(-0.266789\pi\) | |||||||
\(138\) | 16.5226 | + | 13.4940i | 1.40650 | + | 1.14869i | ||||
\(139\) | −5.45273 | + | 3.14813i | −0.462494 | + | 0.267021i | −0.713092 | − | 0.701070i | \(-0.752706\pi\) |
0.250598 | + | 0.968091i | \(0.419373\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 10.2153 | + | 8.34280i | 0.860279 | + | 0.702591i | ||||
\(142\) | −13.4988 | − | 23.3805i | −1.13279 | − | 1.96205i | ||||
\(143\) | −0.378672 | − | 0.655879i | −0.0316661 | − | 0.0548474i | ||||
\(144\) | −25.2850 | − | 8.44899i | −2.10708 | − | 0.704083i | ||||
\(145\) | 6.36052 | + | 3.67225i | 0.528212 | + | 0.304963i | ||||
\(146\) | 14.8992 | − | 25.8061i | 1.23306 | − | 2.13573i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −6.29642 | − | 10.9057i | −0.517563 | − | 0.896445i | ||||
\(149\) | 10.6269i | 0.870592i | 0.900287 | + | 0.435296i | \(0.143356\pi\) | ||||
−0.900287 | + | 0.435296i | \(0.856644\pi\) | |||||||
\(150\) | −9.74645 | + | 11.9339i | −0.795794 | + | 0.974401i | ||||
\(151\) | 9.48930 | 0.772229 | 0.386114 | − | 0.922451i | \(-0.373817\pi\) | ||||
0.386114 | + | 0.922451i | \(0.373817\pi\) | |||||||
\(152\) | −6.72308 | + | 11.6447i | −0.545314 | + | 0.944511i | ||||
\(153\) | 12.6050 | + | 4.21196i | 1.01905 | + | 0.340517i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −2.69205 | − | 1.55426i | −0.216231 | − | 0.124841i | ||||
\(156\) | 3.56341 | + | 9.39977i | 0.285301 | + | 0.752584i | ||||
\(157\) | −20.6214 | − | 11.9058i | −1.64577 | − | 0.950185i | −0.978728 | − | 0.205163i | \(-0.934228\pi\) |
−0.667040 | − | 0.745022i | \(-0.732439\pi\) | |||||||
\(158\) | −9.05582 | − | 5.22838i | −0.720442 | − | 0.415947i | ||||
\(159\) | −3.38771 | + | 4.14805i | −0.268663 | + | 0.328961i | ||||
\(160\) | −9.66295 | − | 5.57891i | −0.763924 | − | 0.441051i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 9.13759 | + | 21.4790i | 0.717916 | + | 1.68755i | ||||
\(163\) | −4.41101 | + | 7.64009i | −0.345497 | + | 0.598418i | −0.985444 | − | 0.170001i | \(-0.945623\pi\) |
0.639947 | + | 0.768419i | \(0.278956\pi\) | |||||||
\(164\) | −19.8478 | −1.54986 | ||||||||
\(165\) | −0.474470 | − | 1.25159i | −0.0369375 | − | 0.0974360i | ||||
\(166\) | − | 22.6558i | − | 1.75843i | ||||||
\(167\) | 11.0335 | + | 19.1106i | 0.853800 | + | 1.47883i | 0.877754 | + | 0.479112i | \(0.159041\pi\) |
−0.0239535 | + | 0.999713i | \(0.507625\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.74607 | + | 9.95249i | −0.442005 | + | 0.765576i | ||||
\(170\) | 12.4674 | + | 7.19806i | 0.956206 | + | 0.552066i | ||||
\(171\) | 5.58967 | − | 1.13956i | 0.427453 | − | 0.0871445i | ||||
\(172\) | 10.6174 | + | 18.3898i | 0.809566 | + | 1.40221i | ||||
\(173\) | −2.03375 | − | 3.52256i | −0.154623 | − | 0.267815i | 0.778299 | − | 0.627894i | \(-0.216083\pi\) |
−0.932922 | + | 0.360079i | \(0.882750\pi\) | |||||||
\(174\) | −24.6213 | + | 9.33381i | −1.86653 | + | 0.707594i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −4.74647 | + | 2.74038i | −0.357779 | + | 0.206564i | ||||
\(177\) | 0.991213 | − | 6.09396i | 0.0745041 | − | 0.458050i | ||||
\(178\) | 4.20789i | 0.315395i | ||||||||
\(179\) | 7.20787 | − | 4.16146i | 0.538741 | − | 0.311042i | −0.205827 | − | 0.978588i | \(-0.565989\pi\) |
0.744569 | + | 0.667546i | \(0.232655\pi\) | |||||||
\(180\) | 3.54904 | + | 17.4084i | 0.264530 | + | 1.29755i | ||||
\(181\) | − | 12.6701i | − | 0.941763i | −0.882196 | − | 0.470881i | \(-0.843936\pi\) | ||
0.882196 | − | 0.470881i | \(-0.156064\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 15.8310 | − | 19.3840i | 1.17026 | − | 1.43291i | ||||
\(184\) | −33.5802 | −2.47556 | ||||||||
\(185\) | −1.66919 | + | 2.89111i | −0.122721 | + | 0.212559i | ||||
\(186\) | 10.4208 | − | 3.95048i | 0.764092 | − | 0.289663i | ||||
\(187\) | 2.36619 | − | 1.36612i | 0.173033 | − | 0.0999008i | ||||
\(188\) | −35.9908 | −2.62490 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 6.17941 | 0.448301 | ||||||||
\(191\) | −3.29133 | + | 1.90025i | −0.238152 | + | 0.137497i | −0.614327 | − | 0.789051i | \(-0.710573\pi\) |
0.376175 | + | 0.926549i | \(0.377239\pi\) | |||||||
\(192\) | 8.62036 | − | 3.26793i | 0.622121 | − | 0.235843i | ||||
\(193\) | −3.39448 | + | 5.87942i | −0.244340 | + | 0.423210i | −0.961946 | − | 0.273240i | \(-0.911905\pi\) |
0.717606 | + | 0.696450i | \(0.245238\pi\) | |||||||
\(194\) | −26.2499 | −1.88463 | ||||||||
\(195\) | 1.68571 | − | 2.06404i | 0.120716 | − | 0.147809i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 6.41453i | − | 0.457017i | −0.973542 | − | 0.228508i | \(-0.926615\pi\) | ||
0.973542 | − | 0.228508i | \(-0.0733848\pi\) | |||||||
\(198\) | 4.55137 | + | 1.52084i | 0.323452 | + | 0.108082i | ||||
\(199\) | 13.8921 | − | 8.02063i | 0.984788 | − | 0.568568i | 0.0810756 | − | 0.996708i | \(-0.474164\pi\) |
0.903712 | + | 0.428140i | \(0.140831\pi\) | |||||||
\(200\) | − | 24.2543i | − | 1.71504i | ||||||
\(201\) | 3.78536 | − | 23.2723i | 0.266999 | − | 1.64150i | ||||
\(202\) | −3.84802 | + | 2.22166i | −0.270746 | + | 0.156315i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −33.9112 | + | 12.8556i | −2.37426 | + | 0.900070i | ||||
\(205\) | 2.63084 | + | 4.55675i | 0.183746 | + | 0.318257i | ||||
\(206\) | −9.60292 | − | 16.6327i | −0.669067 | − | 1.15886i | ||||
\(207\) | 9.44441 | + | 10.6664i | 0.656432 | + | 0.741363i | ||||
\(208\) | −9.45013 | − | 5.45604i | −0.655249 | − | 0.378308i | ||||
\(209\) | 0.586396 | − | 1.01567i | 0.0405619 | − | 0.0702552i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.06070 | − | 7.03333i | −0.279550 | − | 0.484194i | 0.691723 | − | 0.722163i | \(-0.256852\pi\) |
−0.971273 | + | 0.237968i | \(0.923519\pi\) | |||||||
\(212\) | − | 14.6146i | − | 1.00373i | ||||||
\(213\) | −6.39118 | − | 16.8590i | −0.437916 | − | 1.15516i | ||||
\(214\) | 0.394282 | 0.0269526 | ||||||||
\(215\) | 2.81467 | − | 4.87515i | 0.191959 | − | 0.332483i | ||||
\(216\) | −32.5272 | − | 17.0885i | −2.21319 | − | 1.16272i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −12.1311 | − | 7.00388i | −0.821620 | − | 0.474363i | ||||
\(219\) | 12.5880 | − | 15.4132i | 0.850615 | − | 1.04153i | ||||
\(220\) | 3.16319 | + | 1.82627i | 0.213262 | + | 0.123127i | ||||
\(221\) | 4.71104 | + | 2.71992i | 0.316899 | + | 0.182962i | ||||
\(222\) | −4.24260 | − | 11.1914i | −0.284744 | − | 0.751117i | ||||
\(223\) | 6.96205 | + | 4.01954i | 0.466213 | + | 0.269168i | 0.714653 | − | 0.699479i | \(-0.246585\pi\) |
−0.248440 | + | 0.968647i | \(0.579918\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −7.70409 | + | 6.82150i | −0.513606 | + | 0.454767i | ||||
\(226\) | 8.39118 | − | 14.5340i | 0.558173 | − | 0.966784i | ||||
\(227\) | 20.8234 | 1.38210 | 0.691048 | − | 0.722809i | \(-0.257149\pi\) | ||||
0.691048 | + | 0.722809i | \(0.257149\pi\) | |||||||
\(228\) | −9.84688 | + | 12.0569i | −0.652126 | + | 0.798488i | ||||
\(229\) | − | 6.01918i | − | 0.397759i | −0.980024 | − | 0.198879i | \(-0.936270\pi\) | ||
0.980024 | − | 0.198879i | \(-0.0637302\pi\) | |||||||
\(230\) | 7.71617 | + | 13.3648i | 0.508789 | + | 0.881248i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 20.7241 | − | 35.8952i | 1.36061 | − | 2.35664i | ||||
\(233\) | −18.2156 | − | 10.5168i | −1.19335 | − | 0.688978i | −0.234282 | − | 0.972169i | \(-0.575274\pi\) |
−0.959064 | + | 0.283191i | \(0.908607\pi\) | |||||||
\(234\) | 1.90855 | + | 9.36163i | 0.124766 | + | 0.611989i | ||||
\(235\) | 4.77059 | + | 8.26291i | 0.311199 | + | 0.539013i | ||||
\(236\) | 8.42392 | + | 14.5907i | 0.548350 | + | 0.949771i | ||||
\(237\) | −5.40875 | − | 4.41733i | −0.351336 | − | 0.286936i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −7.51079 | + | 4.33636i | −0.485832 | + | 0.280496i | −0.722844 | − | 0.691011i | \(-0.757165\pi\) |
0.237011 | + | 0.971507i | \(0.423832\pi\) | |||||||
\(240\) | −14.9371 | − | 12.1991i | −0.964185 | − | 0.787450i | ||||
\(241\) | 8.47315i | 0.545804i | 0.962042 | + | 0.272902i | \(0.0879834\pi\) | ||||
−0.962042 | + | 0.272902i | \(0.912017\pi\) | |||||||
\(242\) | −23.8524 | + | 13.7712i | −1.53329 | + | 0.885246i | ||||
\(243\) | 3.72030 | + | 15.1380i | 0.238658 | + | 0.971104i | ||||
\(244\) | 68.2946i | 4.37211i | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −18.6192 | − | 3.02851i | −1.18712 | − | 0.193091i | ||||
\(247\) | 2.33501 | 0.148573 | ||||||||
\(248\) | −8.77137 | + | 15.1925i | −0.556982 | + | 0.964722i | ||||
\(249\) | 2.42910 | − | 14.9341i | 0.153938 | − | 0.946407i | ||||
\(250\) | −23.7246 | + | 13.6974i | −1.50047 | + | 0.866299i | ||||
\(251\) | −23.4435 | −1.47974 | −0.739871 | − | 0.672749i | \(-0.765113\pi\) | ||||
−0.739871 | + | 0.672749i | \(0.765113\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.92891 | 0.184139 | ||||||||
\(254\) | 6.58492 | − | 3.80180i | 0.413174 | − | 0.238546i | ||||
\(255\) | 7.44638 | + | 6.08146i | 0.466310 | + | 0.380836i | ||||
\(256\) | 10.5170 | − | 18.2159i | 0.657310 | − | 1.13849i | ||||
\(257\) | 24.5170 | 1.52933 | 0.764665 | − | 0.644428i | \(-0.222904\pi\) | ||||
0.764665 | + | 0.644428i | \(0.222904\pi\) | |||||||
\(258\) | 7.15409 | + | 18.8715i | 0.445394 | + | 1.17489i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 7.27212i | 0.450998i | ||||||||
\(261\) | −17.2304 | + | 3.51274i | −1.06653 | + | 0.217433i | ||||
\(262\) | 36.4484 | − | 21.0435i | 2.25179 | − | 1.30007i | ||||
\(263\) | 10.5544i | 0.650811i | 0.945575 | + | 0.325406i | \(0.105501\pi\) | ||||
−0.945575 | + | 0.325406i | \(0.894499\pi\) | |||||||
\(264\) | −7.06327 | + | 2.67765i | −0.434714 | + | 0.164798i | ||||
\(265\) | −3.35527 | + | 1.93716i | −0.206112 | + | 0.118999i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.451159 | + | 2.77372i | −0.0276105 | + | 0.169749i | ||||
\(268\) | 32.1703 | + | 55.7206i | 1.96511 | + | 3.40367i | ||||
\(269\) | −1.14451 | − | 1.98235i | −0.0697821 | − | 0.120866i | 0.829023 | − | 0.559214i | \(-0.188897\pi\) |
−0.898805 | + | 0.438348i | \(0.855564\pi\) | |||||||
\(270\) | 0.673060 | + | 16.8723i | 0.0409611 | + | 1.02682i | ||||
\(271\) | 20.9239 | + | 12.0804i | 1.27103 | + | 0.733831i | 0.975182 | − | 0.221403i | \(-0.0710635\pi\) |
0.295851 | + | 0.955234i | \(0.404397\pi\) | |||||||
\(272\) | 19.6836 | − | 34.0929i | 1.19349 | − | 2.06719i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 22.5672 | + | 39.0875i | 1.36333 | + | 2.36136i | ||||
\(275\) | 2.11549i | 0.127569i | ||||||||
\(276\) | −38.3723 | − | 6.24145i | −2.30974 | − | 0.375691i | ||||
\(277\) | −11.3710 | −0.683219 | −0.341609 | − | 0.939842i | \(-0.610972\pi\) | ||||
−0.341609 | + | 0.939842i | \(0.610972\pi\) | |||||||
\(278\) | 8.16481 | − | 14.1419i | 0.489693 | − | 0.848173i | ||||
\(279\) | 7.29265 | − | 1.48675i | 0.436600 | − | 0.0890092i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 17.6382 | + | 10.1834i | 1.05221 | + | 0.607492i | 0.923267 | − | 0.384160i | \(-0.125509\pi\) |
0.128941 | + | 0.991652i | \(0.458842\pi\) | |||||||
\(282\) | −33.7629 | − | 5.49170i | −2.01055 | − | 0.327026i | ||||
\(283\) | −10.5318 | − | 6.08055i | −0.626052 | − | 0.361451i | 0.153169 | − | 0.988200i | \(-0.451052\pi\) |
−0.779222 | + | 0.626749i | \(0.784385\pi\) | |||||||
\(284\) | 42.6085 | + | 24.6000i | 2.52835 | + | 1.45974i | ||||
\(285\) | 4.07328 | + | 0.662539i | 0.241280 | + | 0.0392454i | ||||
\(286\) | 1.70105 | + | 0.982101i | 0.100585 | + | 0.0580729i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 26.1765 | − | 5.33658i | 1.54247 | − | 0.314461i | ||||
\(289\) | −1.31257 | + | 2.27345i | −0.0772103 | + | 0.133732i | ||||
\(290\) | −19.0482 | −1.11855 | ||||||||
\(291\) | −17.3031 | − | 2.81444i | −1.01433 | − | 0.164986i | ||||
\(292\) | 54.3043i | 3.17792i | ||||||||
\(293\) | −13.4674 | − | 23.3262i | −0.786773 | − | 1.36273i | −0.927934 | − | 0.372745i | \(-0.878417\pi\) |
0.141161 | − | 0.989987i | \(-0.454917\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.23319 | − | 3.86799i | 0.130021 | − | 0.225203i | ||||
\(296\) | 16.3159 | + | 9.41996i | 0.948340 | + | 0.547524i | ||||
\(297\) | 2.83707 | + | 1.49048i | 0.164623 | + | 0.0864863i | ||||
\(298\) | −13.7807 | − | 23.8688i | −0.798293 | − | 1.38268i | ||||
\(299\) | 2.91570 | + | 5.05014i | 0.168619 | + | 0.292057i | ||||
\(300\) | 4.50807 | − | 27.7155i | 0.260273 | − | 1.60016i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −21.3137 | + | 12.3054i | −1.22646 | + | 0.708099i | ||||
\(303\) | −2.77470 | + | 1.05187i | −0.159402 | + | 0.0604286i | ||||
\(304\) | − | 16.8980i | − | 0.969166i | ||||||
\(305\) | 15.6793 | − | 9.05248i | 0.897797 | − | 0.518343i | ||||
\(306\) | −33.7736 | + | 6.88540i | −1.93071 | + | 0.393612i | ||||
\(307\) | − | 21.3700i | − | 1.21965i | −0.792536 | − | 0.609825i | \(-0.791240\pi\) | ||
0.792536 | − | 0.609825i | \(-0.208760\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −4.54664 | − | 11.9934i | −0.258649 | − | 0.682281i | ||||
\(310\) | 8.06206 | 0.457894 | ||||||||
\(311\) | −8.11558 | + | 14.0566i | −0.460192 | + | 0.797076i | −0.998970 | − | 0.0453714i | \(-0.985553\pi\) |
0.538778 | + | 0.842448i | \(0.318886\pi\) | |||||||
\(312\) | −11.6483 | − | 9.51319i | −0.659456 | − | 0.538578i | ||||
\(313\) | −12.1941 | + | 7.04027i | −0.689252 | + | 0.397940i | −0.803332 | − | 0.595532i | \(-0.796941\pi\) |
0.114080 | + | 0.993472i | \(0.463608\pi\) | |||||||
\(314\) | 61.7562 | 3.48511 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 19.0563 | 1.07200 | ||||||||
\(317\) | 17.5776 | − | 10.1484i | 0.987254 | − | 0.569991i | 0.0828017 | − | 0.996566i | \(-0.473613\pi\) |
0.904452 | + | 0.426575i | \(0.140280\pi\) | |||||||
\(318\) | 2.22998 | − | 13.7099i | 0.125051 | − | 0.768812i | ||||
\(319\) | −1.80759 | + | 3.13083i | −0.101205 | + | 0.175293i | ||||
\(320\) | 6.66913 | 0.372816 | ||||||||
\(321\) | 0.259899 | + | 0.0422738i | 0.0145061 | + | 0.00235950i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 8.42392i | 0.468720i | ||||||||
\(324\) | −33.9929 | − | 25.5728i | −1.88849 | − | 1.42071i | ||||
\(325\) | −3.64761 | + | 2.10595i | −0.202333 | + | 0.116817i | ||||
\(326\) | − | 22.8802i | − | 1.26722i | ||||||
\(327\) | −7.24550 | − | 5.91741i | −0.400677 | − | 0.327233i | ||||
\(328\) | 25.7158 | − | 14.8470i | 1.41991 | − | 0.819788i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 2.68872 | + | 2.19588i | 0.148009 | + | 0.120879i | ||||
\(331\) | −13.2341 | − | 22.9221i | −0.727411 | − | 1.25991i | −0.957974 | − | 0.286856i | \(-0.907390\pi\) |
0.230563 | − | 0.973057i | \(-0.425943\pi\) | |||||||
\(332\) | 20.6439 | + | 35.7563i | 1.13298 | + | 1.96238i | ||||
\(333\) | −1.59668 | − | 7.83190i | −0.0874977 | − | 0.429186i | ||||
\(334\) | −49.5642 | − | 28.6159i | −2.71203 | − | 1.56579i | ||||
\(335\) | 8.52836 | − | 14.7716i | 0.465954 | − | 0.807057i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.73659 | − | 3.00785i | −0.0945979 | − | 0.163848i | 0.814843 | − | 0.579682i | \(-0.196823\pi\) |
−0.909441 | + | 0.415834i | \(0.863490\pi\) | |||||||
\(338\) | − | 29.8053i | − | 1.62120i | ||||||
\(339\) | 7.08951 | − | 8.68067i | 0.385049 | − | 0.471469i | ||||
\(340\) | −26.2354 | −1.42281 | ||||||||
\(341\) | 0.765051 | − | 1.32511i | 0.0414298 | − | 0.0717585i | ||||
\(342\) | −11.0771 | + | 9.80806i | −0.598979 | + | 0.530359i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −27.5127 | − | 15.8844i | −1.48338 | − | 0.856432i | ||||
\(345\) | 3.65333 | + | 9.63698i | 0.196689 | + | 0.518837i | ||||
\(346\) | 9.13589 | + | 5.27461i | 0.491149 | + | 0.283565i | ||||
\(347\) | 8.14765 | + | 4.70405i | 0.437389 | + | 0.252527i | 0.702489 | − | 0.711694i | \(-0.252072\pi\) |
−0.265101 | + | 0.964221i | \(0.585405\pi\) | |||||||
\(348\) | 30.3533 | − | 37.1658i | 1.62711 | − | 1.99230i | ||||
\(349\) | 12.3253 | + | 7.11603i | 0.659759 | + | 0.380912i | 0.792185 | − | 0.610281i | \(-0.208943\pi\) |
−0.132426 | + | 0.991193i | \(0.542277\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0.254329 | + | 6.37554i | 0.0135751 | + | 0.340301i | ||||
\(352\) | 2.74610 | − | 4.75639i | 0.146368 | − | 0.253516i | ||||
\(353\) | −17.1652 | −0.913614 | −0.456807 | − | 0.889566i | \(-0.651007\pi\) | ||||
−0.456807 | + | 0.889566i | \(0.651007\pi\) | |||||||
\(354\) | 5.67613 | + | 14.9728i | 0.301683 | + | 0.795798i | ||||
\(355\) | − | 13.0430i | − | 0.692250i | ||||||
\(356\) | −3.83422 | − | 6.64106i | −0.203213 | − | 0.351975i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −10.7929 | + | 18.6939i | −0.570424 | + | 0.988003i | ||||
\(359\) | 24.4705 | + | 14.1281i | 1.29150 | + | 0.745650i | 0.978921 | − | 0.204241i | \(-0.0654725\pi\) |
0.312583 | + | 0.949890i | \(0.398806\pi\) | |||||||
\(360\) | −17.6205 | − | 19.9003i | −0.928682 | − | 1.04884i | ||||
\(361\) | −7.69205 | − | 13.3230i | −0.404845 | − | 0.701212i | ||||
\(362\) | 16.4302 | + | 28.4580i | 0.863554 | + | 1.49572i | ||||
\(363\) | −17.1993 | + | 6.52017i | −0.902729 | + | 0.342220i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 12.4674 | − | 7.19806i | 0.652574 | − | 0.376764i | ||||
\(366\) | −10.4208 | + | 64.0670i | −0.544705 | + | 3.34884i | ||||
\(367\) | 23.0704i | 1.20427i | 0.798396 | + | 0.602133i | \(0.205682\pi\) | ||||
−0.798396 | + | 0.602133i | \(0.794318\pi\) | |||||||
\(368\) | 36.5469 | − | 21.1004i | 1.90514 | − | 1.09993i | ||||
\(369\) | −11.9485 | − | 3.99260i | −0.622015 | − | 0.207847i | ||||
\(370\) | − | 8.65820i | − | 0.450118i | ||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −12.8469 | + | 15.7302i | −0.666080 | + | 0.815574i | ||||
\(373\) | −13.8727 | −0.718301 | −0.359150 | − | 0.933280i | \(-0.616933\pi\) | ||||
−0.359150 | + | 0.933280i | \(0.616933\pi\) | |||||||
\(374\) | −3.54309 | + | 6.13682i | −0.183209 | + | 0.317327i | ||||
\(375\) | −17.1071 | + | 6.48523i | −0.883408 | + | 0.334896i | ||||
\(376\) | 46.6313 | − | 26.9226i | 2.40482 | − | 1.38843i | ||||
\(377\) | −7.19773 | −0.370702 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 22.7814 | 1.17020 | 0.585101 | − | 0.810961i | \(-0.301055\pi\) | ||||
0.585101 | + | 0.810961i | \(0.301055\pi\) | |||||||
\(380\) | −9.75258 | + | 5.63065i | −0.500297 | + | 0.288846i | ||||
\(381\) | 4.74820 | − | 1.80002i | 0.243257 | − | 0.0922177i | ||||
\(382\) | 4.92838 | − | 8.53620i | 0.252158 | − | 0.436750i | ||||
\(383\) | 15.2320 | 0.778317 | 0.389158 | − | 0.921171i | \(-0.372766\pi\) | ||||
0.389158 | + | 0.921171i | \(0.372766\pi\) | |||||||
\(384\) | 4.38860 | − | 5.37357i | 0.223955 | − | 0.274219i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 17.6075i | − | 0.896196i | ||||||
\(387\) | 2.69241 | + | 13.2066i | 0.136863 | + | 0.671328i | ||||
\(388\) | 41.4286 | − | 23.9188i | 2.10322 | − | 1.21429i | ||||
\(389\) | 14.1479i | 0.717328i | 0.933467 | + | 0.358664i | \(0.116768\pi\) | ||||
−0.933467 | + | 0.358664i | \(0.883232\pi\) | |||||||
\(390\) | −1.10963 | + | 6.82196i | −0.0561881 | + | 0.345443i | ||||
\(391\) | −18.2192 | + | 10.5189i | −0.921386 | + | 0.531962i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 26.2819 | − | 9.96335i | 1.32575 | − | 0.502584i | ||||
\(394\) | 8.31817 | + | 14.4075i | 0.419063 | + | 0.725839i | ||||
\(395\) | −2.52592 | − | 4.37503i | −0.127093 | − | 0.220131i | ||||
\(396\) | −8.56893 | + | 1.74694i | −0.430605 | + | 0.0877871i | ||||
\(397\) | −8.40688 | − | 4.85371i | −0.421929 | − | 0.243601i | 0.273973 | − | 0.961737i | \(-0.411662\pi\) |
−0.695902 | + | 0.718136i | \(0.744995\pi\) | |||||||
\(398\) | −20.8018 | + | 36.0298i | −1.04270 | + | 1.80601i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 15.2403 | + | 26.3970i | 0.762017 | + | 1.31985i | ||||
\(401\) | 8.73133i | 0.436022i | 0.975946 | + | 0.218011i | \(0.0699569\pi\) | ||||
−0.975946 | + | 0.218011i | \(0.930043\pi\) | |||||||
\(402\) | 21.6767 | + | 57.1801i | 1.08113 | + | 2.85188i | ||||
\(403\) | 3.04640 | 0.151752 | ||||||||
\(404\) | 4.04873 | − | 7.01261i | 0.201432 | − | 0.348890i | ||||
\(405\) | −1.36535 | + | 11.1939i | −0.0678446 | + | 0.556230i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.42309 | − | 0.821622i | −0.0705400 | − | 0.0407263i | ||||
\(408\) | 34.3204 | − | 42.0233i | 1.69911 | − | 2.08046i | ||||
\(409\) | 12.8967 | + | 7.44591i | 0.637700 | + | 0.368176i | 0.783728 | − | 0.621104i | \(-0.213316\pi\) |
−0.146028 | + | 0.989280i | \(0.546649\pi\) | |||||||
\(410\) | −11.8181 | − | 6.82318i | −0.583654 | − | 0.336973i | ||||
\(411\) | 10.6847 | + | 28.1849i | 0.527039 | + | 1.39026i | ||||
\(412\) | 30.3114 | + | 17.5003i | 1.49334 | + | 0.862178i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −35.0446 | − | 11.7102i | −1.72235 | − | 0.575524i | ||||
\(415\) | 5.47272 | − | 9.47903i | 0.268645 | − | 0.465307i | ||||
\(416\) | 10.9349 | 0.536126 | ||||||||
\(417\) | 6.89825 | − | 8.44648i | 0.337809 | − | 0.413626i | ||||
\(418\) | 3.04168i | 0.148774i | ||||||||
\(419\) | 2.13859 | + | 3.70414i | 0.104477 | + | 0.180959i | 0.913524 | − | 0.406784i | \(-0.133350\pi\) |
−0.809048 | + | 0.587743i | \(0.800017\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.76681 | − | 9.98841i | 0.281057 | − | 0.486805i | −0.690588 | − | 0.723248i | \(-0.742648\pi\) |
0.971645 | + | 0.236443i | \(0.0759816\pi\) | |||||||
\(422\) | 18.2412 | + | 10.5316i | 0.887969 | + | 0.512669i | ||||
\(423\) | −21.6667 | − | 7.23993i | −1.05347 | − | 0.352017i | ||||
\(424\) | 10.9323 | + | 18.9353i | 0.530919 | + | 0.919578i | ||||
\(425\) | −7.59756 | − | 13.1594i | −0.368536 | − | 0.638323i | ||||
\(426\) | 36.2174 | + | 29.5787i | 1.75474 | + | 1.43309i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −0.622271 | + | 0.359268i | −0.0300786 | + | 0.0173659i | ||||
\(429\) | 1.01598 | + | 0.829753i | 0.0490521 | + | 0.0400609i | ||||
\(430\) | 14.5999i | 0.704071i | ||||||||
\(431\) | −14.4497 | + | 8.34254i | −0.696018 | + | 0.401846i | −0.805863 | − | 0.592103i | \(-0.798298\pi\) |
0.109845 | + | 0.993949i | \(0.464965\pi\) | |||||||
\(432\) | 46.1385 | − | 1.84053i | 2.21984 | − | 0.0885524i | ||||
\(433\) | − | 12.3503i | − | 0.593516i | −0.954953 | − | 0.296758i | \(-0.904094\pi\) | ||
0.954953 | − | 0.296758i | \(-0.0959055\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −12.5560 | − | 2.04230i | −0.602015 | − | 0.0979207i | ||||
\(436\) | 25.5276 | 1.22255 | ||||||||
\(437\) | −4.51513 | + | 7.82044i | −0.215988 | + | 0.374102i | ||||
\(438\) | −8.28610 | + | 50.9428i | −0.395925 | + | 2.43414i | ||||
\(439\) | 19.1691 | − | 11.0673i | 0.914892 | − | 0.528213i | 0.0328902 | − | 0.999459i | \(-0.489529\pi\) |
0.882002 | + | 0.471246i | \(0.156195\pi\) | |||||||
\(440\) | −5.46449 | −0.260509 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −14.1085 | −0.671071 | ||||||||
\(443\) | −4.22906 | + | 2.44165i | −0.200929 | + | 0.116006i | −0.597089 | − | 0.802175i | \(-0.703676\pi\) |
0.396160 | + | 0.918182i | \(0.370343\pi\) | |||||||
\(444\) | 16.8934 | + | 13.7968i | 0.801724 | + | 0.654769i | ||||
\(445\) | −1.01645 | + | 1.76055i | −0.0481845 | + | 0.0834580i | ||||
\(446\) | −20.8497 | −0.987260 | ||||||||
\(447\) | −6.52466 | − | 17.2111i | −0.308606 | − | 0.814059i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 12.4409i | 0.587121i | 0.955941 | + | 0.293560i | \(0.0948401\pi\) | ||||
−0.955941 | + | 0.293560i | \(0.905160\pi\) | |||||||
\(450\) | 8.45802 | − | 25.3120i | 0.398715 | − | 1.19322i | ||||
\(451\) | −2.24296 | + | 1.29498i | −0.105617 | + | 0.0609780i | ||||
\(452\) | 30.5841i | 1.43855i | ||||||||
\(453\) | −15.3687 | + | 5.82619i | −0.722083 | + | 0.273738i | ||||
\(454\) | −46.7708 | + | 27.0031i | −2.19506 | + | 1.26732i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 3.73900 | − | 22.9873i | 0.175095 | − | 1.07648i | ||||
\(457\) | 5.38774 | + | 9.33185i | 0.252028 | + | 0.436525i | 0.964084 | − | 0.265597i | \(-0.0855691\pi\) |
−0.712056 | + | 0.702123i | \(0.752236\pi\) | |||||||
\(458\) | 7.80549 | + | 13.5195i | 0.364727 | + | 0.631725i | ||||
\(459\) | −23.0008 | + | 0.917533i | −1.07359 | + | 0.0428268i | ||||
\(460\) | −24.3559 | − | 14.0619i | −1.13560 | − | 0.655639i | ||||
\(461\) | 0.333303 | − | 0.577297i | 0.0155235 | − | 0.0268874i | −0.858159 | − | 0.513383i | \(-0.828392\pi\) |
0.873683 | + | 0.486496i | \(0.161725\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −20.7892 | − | 36.0079i | −0.966155 | − | 1.67343i | −0.706479 | − | 0.707734i | \(-0.749717\pi\) |
−0.259677 | − | 0.965696i | \(-0.583616\pi\) | |||||||
\(464\) | 52.0886i | 2.41815i | ||||||||
\(465\) | 5.31426 | + | 0.864391i | 0.246443 | + | 0.0400852i | ||||
\(466\) | 54.5515 | 2.52705 | ||||||||
\(467\) | −19.6568 | + | 34.0465i | −0.909606 | + | 1.57548i | −0.0949943 | + | 0.995478i | \(0.530283\pi\) |
−0.814612 | + | 0.580006i | \(0.803050\pi\) | |||||||
\(468\) | −11.5424 | − | 13.0358i | −0.533549 | − | 0.602581i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −21.4302 | − | 12.3727i | −0.988500 | − | 0.570711i | ||||
\(471\) | 40.7078 | + | 6.62133i | 1.87572 | + | 0.305095i | ||||
\(472\) | −21.8288 | − | 12.6029i | −1.00475 | − | 0.580094i | ||||
\(473\) | 2.39969 | + | 1.38546i | 0.110338 | + | 0.0637036i | ||||
\(474\) | 17.8767 | + | 2.90773i | 0.821104 | + | 0.133557i | ||||
\(475\) | −5.64854 | − | 3.26119i | −0.259173 | − | 0.149633i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 2.93987 | − | 8.79805i | 0.134608 | − | 0.402835i | ||||
\(478\) | 11.2465 | − | 19.4795i | 0.514403 | − | 0.890973i | ||||
\(479\) | 38.1153 | 1.74153 | 0.870767 | − | 0.491696i | \(-0.163623\pi\) | ||||
0.870767 | + | 0.491696i | \(0.163623\pi\) | |||||||
\(480\) | 19.0752 | + | 3.10268i | 0.870661 | + | 0.141617i | ||||
\(481\) | − | 3.27167i | − | 0.149175i | ||||||
\(482\) | −10.9877 | − | 19.0313i | −0.500477 | − | 0.866852i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 25.0965 | − | 43.4685i | 1.14075 | − | 1.97584i | ||||
\(485\) | −10.9828 | − | 6.34090i | −0.498701 | − | 0.287925i | ||||
\(486\) | −27.9866 | − | 29.1767i | −1.26950 | − | 1.32348i | ||||
\(487\) | −3.80277 | − | 6.58659i | −0.172320 | − | 0.298467i | 0.766911 | − | 0.641754i | \(-0.221793\pi\) |
−0.939231 | + | 0.343287i | \(0.888460\pi\) | |||||||
\(488\) | −51.0872 | − | 88.4856i | −2.31261 | − | 4.00555i | ||||
\(489\) | 2.45316 | − | 15.0820i | 0.110936 | − | 0.682030i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 3.33297 | − | 1.92429i | 0.150415 | − | 0.0868420i | −0.422904 | − | 0.906175i | \(-0.638989\pi\) |
0.573318 | + | 0.819333i | \(0.305656\pi\) | |||||||
\(492\) | 32.1451 | − | 12.1861i | 1.44921 | − | 0.549390i | ||||
\(493\) | − | 25.9670i | − | 1.16950i | ||||||
\(494\) | −5.24459 | + | 3.02797i | −0.235965 | + | 0.136235i | ||||
\(495\) | 1.53688 | + | 1.73573i | 0.0690778 | + | 0.0780154i | ||||
\(496\) | − | 22.0462i | − | 0.989904i | ||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 13.9101 | + | 36.6929i | 0.623327 | + | 1.64425i | ||||
\(499\) | −32.1588 | −1.43962 | −0.719812 | − | 0.694169i | \(-0.755772\pi\) | ||||
−0.719812 | + | 0.694169i | \(0.755772\pi\) | |||||||
\(500\) | 24.9620 | − | 43.2355i | 1.11634 | − | 1.93355i | ||||
\(501\) | −29.6031 | − | 24.1769i | −1.32257 | − | 1.08014i | ||||
\(502\) | 52.6558 | − | 30.4009i | 2.35014 | − | 1.35686i | ||||
\(503\) | 0.425693 | 0.0189807 | 0.00949035 | − | 0.999955i | \(-0.496979\pi\) | ||||
0.00949035 | + | 0.999955i | \(0.496979\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.14664 | −0.0955243 | ||||||||
\(506\) | −6.57854 | + | 3.79812i | −0.292452 | + | 0.168847i | ||||
\(507\) | 3.19565 | − | 19.6468i | 0.141924 | − | 0.872544i | ||||
\(508\) | −6.92838 | + | 12.0003i | −0.307397 | + | 0.532427i | ||||
\(509\) | 25.7926 | 1.14323 | 0.571617 | − | 0.820520i | \(-0.306316\pi\) | ||||
0.571617 | + | 0.820520i | \(0.306316\pi\) | |||||||
\(510\) | −24.6114 | − | 4.00316i | −1.08981 | − | 0.177263i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 46.5411i | 2.05684i | ||||||||
\(513\) | −8.35326 | + | 5.27753i | −0.368805 | + | 0.233008i | ||||
\(514\) | −55.0670 | + | 31.7929i | −2.42890 | + | 1.40233i | ||||
\(515\) | − | 9.27868i | − | 0.408868i | ||||||
\(516\) | −28.4865 | − | 23.2650i | −1.25405 | − | 1.02418i | ||||
\(517\) | −4.06724 | + | 2.34822i | −0.178877 | + | 0.103275i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 5.45658 | + | 4.45639i | 0.239517 | + | 0.195614i | ||||
\(520\) | −5.43984 | − | 9.42209i | −0.238553 | − | 0.413186i | ||||
\(521\) | 9.07174 | + | 15.7127i | 0.397440 | + | 0.688386i | 0.993409 | − | 0.114621i | \(-0.0365653\pi\) |
−0.595969 | + | 0.803007i | \(0.703232\pi\) | |||||||
\(522\) | 34.1454 | − | 30.2337i | 1.49450 | − | 1.32329i | ||||
\(523\) | −12.0723 | − | 6.96997i | −0.527887 | − | 0.304776i | 0.212269 | − | 0.977211i | \(-0.431915\pi\) |
−0.740155 | + | 0.672436i | \(0.765248\pi\) | |||||||
\(524\) | −38.3495 | + | 66.4234i | −1.67531 | + | 2.90172i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −13.6866 | − | 23.7059i | −0.596764 | − | 1.03363i | ||||
\(527\) | 10.9904i | 0.478749i | ||||||||
\(528\) | 6.00476 | − | 7.35247i | 0.261324 | − | 0.319975i | ||||
\(529\) | 0.447980 | 0.0194774 | ||||||||
\(530\) | 5.02411 | − | 8.70202i | 0.218234 | − | 0.377992i | ||||
\(531\) | 2.13619 | + | 10.4782i | 0.0927026 | + | 0.454716i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −4.46569 | − | 2.57827i | −0.193431 | − | 0.111677i | ||||
\(534\) | −2.58354 | − | 6.81501i | −0.111801 | − | 0.294914i | ||||
\(535\) | 0.164965 | + | 0.0952423i | 0.00713204 | + | 0.00411769i | ||||
\(536\) | −83.3625 | − | 48.1294i | −3.60071 | − | 2.07887i | ||||
\(537\) | −9.11868 | + | 11.1653i | −0.393500 | + | 0.481817i | ||||
\(538\) | 5.14131 | + | 2.96834i | 0.221658 | + | 0.127974i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −16.4363 | − | 26.0153i | −0.707305 | − | 1.11952i | ||||
\(541\) | −14.8576 | + | 25.7341i | −0.638779 | + | 1.10640i | 0.346922 | + | 0.937894i | \(0.387227\pi\) |
−0.985701 | + | 0.168503i | \(0.946107\pi\) | |||||||
\(542\) | −62.6620 | −2.69156 | ||||||||
\(543\) | 7.77913 | + | 20.5203i | 0.333834 | + | 0.880609i | ||||
\(544\) | 39.4493i | 1.69138i | ||||||||
\(545\) | −3.38370 | − | 5.86074i | −0.144942 | − | 0.251046i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −9.13516 | + | 15.8226i | −0.390591 | + | 0.676524i | −0.992528 | − | 0.122020i | \(-0.961063\pi\) |
0.601937 | + | 0.798544i | \(0.294396\pi\) | |||||||
\(548\) | −71.2327 | − | 41.1262i | −3.04291 | − | 1.75683i | ||||
\(549\) | −13.7382 | + | 41.1138i | −0.586331 | + | 1.75469i | ||||
\(550\) | −2.74330 | − | 4.75154i | −0.116975 | − | 0.202606i | ||||
\(551\) | −5.57306 | − | 9.65282i | −0.237420 | − | 0.411224i | ||||
\(552\) | 54.3858 | − | 20.6174i | 2.31481 | − | 0.877533i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 25.5401 | − | 14.7456i | 1.08510 | − | 0.626481i | ||||
\(555\) | 0.928308 | − | 5.70723i | 0.0394045 | − | 0.242258i | ||||
\(556\) | 29.7590i | 1.26206i | ||||||||
\(557\) | −0.359456 | + | 0.207532i | −0.0152307 | + | 0.00879343i | −0.507596 | − | 0.861595i | \(-0.669466\pi\) |
0.492365 | + | 0.870389i | \(0.336132\pi\) | |||||||
\(558\) | −14.4519 | + | 12.7962i | −0.611796 | + | 0.541708i | ||||
\(559\) | 5.51686i | 0.233338i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −2.99347 | + | 3.66532i | −0.126385 | + | 0.154750i | ||||
\(562\) | −52.8222 | −2.22817 | ||||||||
\(563\) | −1.82962 | + | 3.16900i | −0.0771095 | + | 0.133558i | −0.902002 | − | 0.431733i | \(-0.857902\pi\) |
0.824892 | + | 0.565290i | \(0.191236\pi\) | |||||||
\(564\) | 58.2899 | − | 22.0974i | 2.45445 | − | 0.930469i | ||||
\(565\) | 7.02161 | − | 4.05393i | 0.295401 | − | 0.170550i | ||||
\(566\) | 31.5403 | 1.32574 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −73.6074 | −3.08850 | ||||||||
\(569\) | 30.4692 | − | 17.5914i | 1.27733 | − | 0.737470i | 0.300977 | − | 0.953631i | \(-0.402687\pi\) |
0.976358 | + | 0.216162i | \(0.0693538\pi\) | |||||||
\(570\) | −10.0080 | + | 3.79400i | −0.419191 | + | 0.158913i | ||||
\(571\) | 5.02680 | − | 8.70667i | 0.210365 | − | 0.364363i | −0.741464 | − | 0.670993i | \(-0.765868\pi\) |
0.951829 | + | 0.306630i | \(0.0992014\pi\) | |||||||
\(572\) | −3.57955 | −0.149668 | ||||||||
\(573\) | 4.16387 | − | 5.09840i | 0.173948 | − | 0.212989i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | − | 16.2888i | − | 0.679292i | ||||||
\(576\) | −11.9549 | + | 10.5854i | −0.498122 | + | 0.441056i | ||||
\(577\) | −0.0597672 | + | 0.0345066i | −0.00248814 | + | 0.00143653i | −0.501244 | − | 0.865306i | \(-0.667124\pi\) |
0.498755 | + | 0.866743i | \(0.333791\pi\) | |||||||
\(578\) | − | 6.80843i | − | 0.283193i | ||||||
\(579\) | 1.88782 | − | 11.6063i | 0.0784552 | − | 0.482342i | ||||
\(580\) | 30.0627 | − | 17.3567i | 1.24828 | − | 0.720697i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 42.5138 | − | 16.1168i | 1.76225 | − | 0.668061i | ||||
\(583\) | −0.953529 | − | 1.65156i | −0.0394911 | − | 0.0684006i | ||||
\(584\) | −40.6219 | − | 70.3591i | −1.68094 | − | 2.91148i | ||||
\(585\) | −1.46286 | + | 4.37786i | −0.0604820 | + | 0.181002i | ||||
\(586\) | 60.4974 | + | 34.9282i | 2.49913 | + | 1.44287i | ||||
\(587\) | 11.4799 | − | 19.8838i | 0.473827 | − | 0.820693i | −0.525724 | − | 0.850655i | \(-0.676205\pi\) |
0.999551 | + | 0.0299626i | \(0.00953881\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.35877 | + | 4.08550i | 0.0971913 | + | 0.168340i | ||||
\(590\) | 11.5837i | 0.476894i | ||||||||
\(591\) | 3.93836 | + | 10.3888i | 0.162002 | + | 0.427340i | ||||
\(592\) | −23.6764 | −0.973094 | ||||||||
\(593\) | −14.3970 | + | 24.9363i | −0.591213 | + | 1.02401i | 0.402856 | + | 0.915263i | \(0.368018\pi\) |
−0.994069 | + | 0.108748i | \(0.965316\pi\) | |||||||
\(594\) | −8.30506 | + | 0.331300i | −0.340761 | + | 0.0135934i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 43.4984 | + | 25.1138i | 1.78176 | + | 1.02870i | ||||
\(597\) | −17.5750 | + | 21.5195i | −0.719295 | + | 0.880733i | ||||
\(598\) | −13.0977 | − | 7.56198i | −0.535606 | − | 0.309233i | ||||
\(599\) | −33.1588 | − | 19.1442i | −1.35483 | − | 0.782212i | −0.365910 | − | 0.930650i | \(-0.619242\pi\) |
−0.988922 | + | 0.148438i | \(0.952575\pi\) | |||||||
\(600\) | 14.8915 | + | 39.2817i | 0.607943 | + | 1.60367i | ||||
\(601\) | −26.7618 | − | 15.4509i | −1.09164 | − | 0.630257i | −0.157625 | − | 0.987499i | \(-0.550384\pi\) |
−0.934012 | + | 0.357242i | \(0.883717\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 8.15793 | + | 40.0155i | 0.332216 | + | 1.62956i | ||||
\(604\) | 22.4254 | − | 38.8419i | 0.912475 | − | 1.58045i | ||||
\(605\) | −13.3062 | −0.540975 | ||||||||
\(606\) | 4.86813 | − | 5.96073i | 0.197754 | − | 0.242138i | ||||
\(607\) | − | 33.1791i | − | 1.34670i | −0.739325 | − | 0.673349i | \(-0.764855\pi\) | ||
0.739325 | − | 0.673349i | \(-0.235145\pi\) | |||||||
\(608\) | 8.46664 | + | 14.6647i | 0.343368 | + | 0.594730i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −23.4780 | + | 40.6650i | −0.950595 | + | 1.64648i | ||||
\(611\) | −8.09780 | − | 4.67527i | −0.327602 | − | 0.189141i | ||||
\(612\) | 47.0289 | − | 41.6412i | 1.90103 | − | 1.68325i | ||||
\(613\) | −2.01164 | − | 3.48426i | −0.0812492 | − | 0.140728i | 0.822538 | − | 0.568711i | \(-0.192558\pi\) |
−0.903787 | + | 0.427983i | \(0.859224\pi\) | |||||||
\(614\) | 27.7120 | + | 47.9985i | 1.11836 | + | 1.93706i | ||||
\(615\) | −7.05857 | − | 5.76474i | −0.284629 | − | 0.232457i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 27.1191 | − | 15.6572i | 1.09177 | − | 0.630336i | 0.157726 | − | 0.987483i | \(-0.449584\pi\) |
0.934048 | + | 0.357147i | \(0.116251\pi\) | |||||||
\(618\) | 25.7648 | + | 21.0421i | 1.03641 | + | 0.846437i | ||||
\(619\) | 13.9310i | 0.559934i | 0.960010 | + | 0.279967i | \(0.0903235\pi\) | ||||
−0.960010 | + | 0.279967i | \(0.909676\pi\) | |||||||
\(620\) | −12.7238 | + | 7.34612i | −0.511002 | + | 0.295027i | ||||
\(621\) | −21.8448 | − | 11.4764i | −0.876603 | − | 0.460532i | ||||
\(622\) | − | 42.0962i | − | 1.68790i | ||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 18.6551 | + | 3.03434i | 0.746802 | + | 0.121471i | ||||
\(625\) | 3.91523 | 0.156609 | ||||||||
\(626\) | 18.2592 | − | 31.6259i | 0.729786 | − | 1.26403i | ||||
\(627\) | −0.326121 | + | 2.00499i | −0.0130240 | + | 0.0800714i | ||||
\(628\) | −97.4661 | + | 56.2721i | −3.88932 | + | 2.24550i | ||||
\(629\) | 11.8031 | 0.470620 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4.61815 | −0.183846 | −0.0919229 | − | 0.995766i | \(-0.529301\pi\) | ||||
−0.0919229 | + | 0.995766i | \(0.529301\pi\) | |||||||
\(632\) | −24.6902 | + | 14.2549i | −0.982124 | + | 0.567030i | ||||
\(633\) | 10.8949 | + | 8.89787i | 0.433033 | + | 0.353659i | ||||
\(634\) | −26.3203 | + | 45.5881i | −1.04531 | + | 1.81053i | ||||
\(635\) | 3.67344 | 0.145776 | ||||||||
\(636\) | 8.97296 | + | 23.6694i | 0.355801 | + | 0.938554i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | − | 9.37609i | − | 0.371203i | ||||||
\(639\) | 20.7020 | + | 23.3805i | 0.818960 | + | 0.924920i | ||||
\(640\) | 4.34657 | − | 2.50949i | 0.171813 | − | 0.0991964i | ||||
\(641\) | 42.4724i | 1.67756i | 0.544473 | + | 0.838779i | \(0.316730\pi\) | ||||
−0.544473 | + | 0.838779i | \(0.683270\pi\) | |||||||
\(642\) | −0.638571 | + | 0.242079i | −0.0252024 | + | 0.00955410i | ||||
\(643\) | 3.13514 | − | 1.81008i | 0.123638 | − | 0.0713825i | −0.436905 | − | 0.899507i | \(-0.643926\pi\) |
0.560544 | + | 0.828125i | \(0.310592\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −1.56536 | + | 9.62383i | −0.0616361 | + | 0.378938i | ||||
\(646\) | −10.9239 | − | 18.9207i | −0.429795 | − | 0.744426i | ||||
\(647\) | −6.00617 | − | 10.4030i | −0.236127 | − | 0.408984i | 0.723473 | − | 0.690353i | \(-0.242545\pi\) |
−0.959600 | + | 0.281369i | \(0.909211\pi\) | |||||||
\(648\) | 63.1722 | + | 7.70525i | 2.48164 | + | 0.302691i | ||||
\(649\) | 1.90394 | + | 1.09924i | 0.0747361 | + | 0.0431489i | ||||
\(650\) | 5.46186 | − | 9.46022i | 0.214232 | − | 0.371060i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 20.8484 | + | 36.1105i | 0.816486 | + | 1.41420i | ||||
\(653\) | − | 46.1822i | − | 1.80725i | −0.428324 | − | 0.903625i | \(-0.640896\pi\) | ||
0.428324 | − | 0.903625i | \(-0.359104\pi\) | |||||||
\(654\) | 23.9474 | + | 3.89517i | 0.936419 | + | 0.152313i | ||||
\(655\) | 20.3330 | 0.794476 | ||||||||
\(656\) | −18.6584 | + | 32.3174i | −0.728490 | + | 1.26178i | ||||
\(657\) | −10.9239 | + | 32.6915i | −0.426182 | + | 1.27542i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −16.3479 | − | 9.43847i | −0.636824 | − | 0.367671i | 0.146566 | − | 0.989201i | \(-0.453178\pi\) |
−0.783390 | + | 0.621530i | \(0.786511\pi\) | |||||||
\(660\) | −6.24431 | − | 1.01567i | −0.243059 | − | 0.0395348i | ||||
\(661\) | −2.88202 | − | 1.66393i | −0.112097 | − | 0.0647195i | 0.442903 | − | 0.896570i | \(-0.353949\pi\) |
−0.555000 | + | 0.831850i | \(0.687282\pi\) | |||||||
\(662\) | 59.4494 | + | 34.3231i | 2.31057 | + | 1.33401i | ||||
\(663\) | −9.29987 | − | 1.51267i | −0.361177 | − | 0.0587472i | ||||
\(664\) | −53.4944 | − | 30.8850i | −2.07599 | − | 1.19857i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 13.7424 | + | 15.5205i | 0.532509 | + | 0.601407i | ||||
\(667\) | 13.9181 | − | 24.1068i | 0.538909 | − | 0.933418i | ||||
\(668\) | 104.299 | 4.03544 | ||||||||
\(669\) | −13.7435 | − | 2.23544i | −0.531353 | − | 0.0864273i | ||||
\(670\) | 44.2373i | 1.70904i | ||||||||
\(671\) | 4.45589 | + | 7.71783i | 0.172018 | + | 0.297944i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −16.3678 | + | 28.3499i | −0.630934 | + | 1.09281i | 0.356427 | + | 0.934323i | \(0.383995\pi\) |
−0.987361 | + | 0.158487i | \(0.949339\pi\) | |||||||
\(674\) | 7.80099 | + | 4.50390i | 0.300483 | + | 0.173484i | ||||
\(675\) | 8.28915 | − | 15.7781i | 0.319050 | − | 0.607298i | ||||
\(676\) | 27.1585 | + | 47.0399i | 1.04456 | + | 1.80923i | ||||
\(677\) | 16.9228 | + | 29.3111i | 0.650396 | + | 1.12652i | 0.983027 | + | 0.183461i | \(0.0587302\pi\) |
−0.332631 | + | 0.943057i | \(0.607937\pi\) | |||||||
\(678\) | −4.66671 | + | 28.6909i | −0.179224 | + | 1.10187i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 33.9917 | − | 19.6251i | 1.30352 | − | 0.752590i | ||||
\(681\) | −33.7251 | + | 12.7850i | −1.29235 | + | 0.489923i | ||||
\(682\) | 3.96838i | 0.151957i | ||||||||
\(683\) | 4.79617 | − | 2.76907i | 0.183520 | − | 0.105956i | −0.405425 | − | 0.914128i | \(-0.632877\pi\) |
0.588946 | + | 0.808173i | \(0.299543\pi\) | |||||||
\(684\) | 8.54517 | − | 25.5728i | 0.326733 | − | 0.977802i | ||||
\(685\) | 21.8052i | 0.833133i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 3.69562 | + | 9.74854i | 0.140997 | + | 0.371930i | ||||
\(688\) | 39.9244 | 1.52210 | ||||||||
\(689\) | 1.89846 | − | 3.28822i | 0.0723254 | − | 0.125271i | ||||
\(690\) | −20.7026 | − | 16.9078i | −0.788134 | − | 0.643669i | ||||
\(691\) | −12.3417 | + | 7.12550i | −0.469502 | + | 0.271067i | −0.716031 | − | 0.698068i | \(-0.754043\pi\) |
0.246530 | + | 0.969135i | \(0.420710\pi\) | |||||||
\(692\) | −19.2248 | −0.730818 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −24.4003 | −0.926222 | ||||||||
\(695\) | 6.83219 | − | 3.94456i | 0.259160 | − | 0.149626i | ||||
\(696\) | −11.5256 | + | 70.8592i | −0.436877 | + | 2.68591i | ||||
\(697\) | 9.30154 | − | 16.1107i | 0.352321 | − | 0.610238i | ||||
\(698\) | −36.9114 | −1.39712 | ||||||||
\(699\) | 35.9587 | + | 5.84886i | 1.36008 | + | 0.221224i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 18.6105i | 0.702908i | 0.936205 | + | 0.351454i | \(0.114313\pi\) | ||||
−0.936205 | + | 0.351454i | \(0.885687\pi\) | |||||||
\(702\) | −8.83884 | − | 13.9901i | −0.333601 | − | 0.528022i | ||||
\(703\) | 4.38760 | − | 2.53318i | 0.165482 | − | 0.0955408i | ||||
\(704\) | 3.28274i | 0.123723i | ||||||||
\(705\) | −12.7996 | − | 10.4534i | −0.482059 | − | 0.393698i | ||||
\(706\) | 38.5544 | − | 22.2594i | 1.45101 | − | 0.837743i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −22.6015 | − | 18.4587i | −0.849416 | − | 0.693719i | ||||
\(709\) | 6.74733 | + | 11.6867i | 0.253401 | + | 0.438904i | 0.964460 | − | 0.264229i | \(-0.0851174\pi\) |
−0.711059 | + | 0.703133i | \(0.751784\pi\) | |||||||
\(710\) | 16.9137 | + | 29.2955i | 0.634762 | + | 1.09944i | ||||
\(711\) | 11.4720 | + | 3.83338i | 0.430234 | + | 0.143763i | ||||
\(712\) | 9.93557 | + | 5.73630i | 0.372351 | + | 0.214977i | ||||
\(713\) | −5.89074 | + | 10.2031i | −0.220610 | + | 0.382107i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.474470 | + | 0.821807i | 0.0177442 | + | 0.0307338i | ||||
\(716\) | − | 39.3379i | − | 1.47013i | ||||||
\(717\) | 9.50190 | − | 11.6345i | 0.354855 | − | 0.434498i | ||||
\(718\) | −73.2833 | −2.73491 | ||||||||
\(719\) | 18.8692 | − | 32.6824i | 0.703702 | − | 1.21885i | −0.263456 | − | 0.964671i | \(-0.584863\pi\) |
0.967158 | − | 0.254176i | \(-0.0818042\pi\) | |||||||
\(720\) | 31.6817 | + | 10.5865i | 1.18071 | + | 0.394534i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 34.5538 | + | 19.9496i | 1.28596 | + | 0.742449i | ||||
\(723\) | −5.20230 | − | 13.7229i | −0.193476 | − | 0.510362i | ||||
\(724\) | −51.8617 | − | 29.9424i | −1.92742 | − | 1.11280i | ||||
\(725\) | 17.4118 | + | 10.0527i | 0.646659 | + | 0.373348i | ||||
\(726\) | 30.1757 | − | 36.9483i | 1.11993 | − | 1.37128i | ||||
\(727\) | −1.98480 | − | 1.14592i | −0.0736121 | − | 0.0424999i | 0.462742 | − | 0.886493i | \(-0.346866\pi\) |
−0.536354 | + | 0.843993i | \(0.680199\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −15.3197 | − | 22.2330i | −0.567395 | − | 0.823446i | ||||
\(730\) | −18.6685 | + | 32.3347i | −0.690950 | + | 1.19676i | ||||
\(731\) | −19.9030 | −0.736138 | ||||||||
\(732\) | −41.9311 | − | 110.609i | −1.54982 | − | 4.08821i | ||||
\(733\) | 24.7888i | 0.915596i | 0.889056 | + | 0.457798i | \(0.151362\pi\) | ||||
−0.889056 | + | 0.457798i | \(0.848638\pi\) | |||||||
\(734\) | −29.9170 | − | 51.8178i | −1.10426 | − | 1.91263i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −21.1444 | + | 36.6232i | −0.779394 | + | 1.34995i | ||||
\(737\) | 7.27099 | + | 4.19791i | 0.267830 | + | 0.154632i | ||||
\(738\) | 32.0147 | − | 6.52681i | 1.17848 | − | 0.240255i | ||||
\(739\) | 8.10081 | + | 14.0310i | 0.297993 | + | 0.516139i | 0.975677 | − | 0.219214i | \(-0.0703494\pi\) |
−0.677684 | + | 0.735354i | \(0.737016\pi\) | |||||||
\(740\) | 7.88932 | + | 13.6647i | 0.290017 | + | 0.502325i | ||||
\(741\) | −3.78173 | + | 1.43363i | −0.138925 | + | 0.0526658i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −18.8312 | + | 10.8722i | −0.690848 | + | 0.398862i | −0.803930 | − | 0.594724i | \(-0.797261\pi\) |
0.113081 | + | 0.993586i | \(0.463928\pi\) | |||||||
\(744\) | 4.87815 | − | 29.9908i | 0.178842 | − | 1.09952i | ||||
\(745\) | − | 13.3154i | − | 0.487838i | ||||||
\(746\) | 31.1591 | − | 17.9897i | 1.14081 | − | 0.658649i | ||||
\(747\) | 5.23501 | + | 25.6783i | 0.191539 | + | 0.939519i | ||||
\(748\) | − | 12.9138i | − | 0.472176i | ||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 30.0140 | − | 36.7503i | 1.09596 | − | 1.34193i | ||||
\(751\) | −7.57995 | −0.276596 | −0.138298 | − | 0.990391i | \(-0.544163\pi\) | ||||
−0.138298 | + | 0.990391i | \(0.544163\pi\) | |||||||
\(752\) | −33.8340 | + | 58.6022i | −1.23380 | + | 2.13700i | ||||
\(753\) | 37.9686 | − | 14.3937i | 1.38365 | − | 0.524536i | ||||
\(754\) | 16.1666 | − | 9.33381i | 0.588754 | − | 0.339917i | ||||
\(755\) | −11.8900 | −0.432720 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 10.3436 | 0.375944 | 0.187972 | − | 0.982174i | \(-0.439809\pi\) | ||||
0.187972 | + | 0.982174i | \(0.439809\pi\) | |||||||
\(758\) | −51.1686 | + | 29.5422i | −1.85853 | + | 1.07302i | ||||
\(759\) | −4.74360 | + | 1.79827i | −0.172182 | + | 0.0652732i | ||||
\(760\) | 8.42392 | − | 14.5907i | 0.305568 | − | 0.529259i | ||||
\(761\) | 34.4339 | 1.24823 | 0.624114 | − | 0.781333i | \(-0.285460\pi\) | ||||
0.624114 | + | 0.781333i | \(0.285460\pi\) | |||||||
\(762\) | −8.33058 | + | 10.2003i | −0.301785 | + | 0.369517i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 17.9629i | 0.649874i | ||||||||
\(765\) | −15.7939 | − | 5.27753i | −0.571028 | − | 0.190809i | ||||
\(766\) | −34.2121 | + | 19.7523i | −1.23613 | + | 0.713681i | ||||
\(767\) | 4.37713i | 0.158049i | ||||||||
\(768\) | −5.84895 | + | 35.9593i | −0.211056 | + | 1.29757i | ||||
\(769\) | 12.9344 | − | 7.46765i | 0.466425 | − | 0.269290i | −0.248317 | − | 0.968679i | \(-0.579877\pi\) |
0.714742 | + | 0.699388i | \(0.246544\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −39.7073 | + | 15.0528i | −1.43002 | + | 0.542114i | ||||
\(772\) | 16.0439 | + | 27.7888i | 0.577431 | + | 1.00014i | ||||
\(773\) | −19.9924 | − | 34.6278i | −0.719076 | − | 1.24548i | −0.961366 | − | 0.275272i | \(-0.911232\pi\) |
0.242290 | − | 0.970204i | \(-0.422101\pi\) | |||||||
\(774\) | −23.1732 | − | 26.1715i | −0.832945 | − | 0.940714i | ||||
\(775\) | −7.36945 | − | 4.25476i | −0.264719 | − | 0.152835i | ||||
\(776\) | −35.7845 | + | 61.9806i | −1.28459 | + | 2.22497i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −18.3466 | − | 31.7772i | −0.657758 | − | 1.13927i | ||||
\(779\) | − | 7.98521i | − | 0.286100i | ||||||
\(780\) | −4.46489 | − | 11.7778i | −0.159869 | − | 0.421712i | ||||
\(781\) | 6.42013 | 0.229730 | ||||||||
\(782\) | 27.2811 | − | 47.2523i | 0.975571 | − | 1.68974i | ||||
\(783\) | 25.7492 | − | 16.2681i | 0.920201 | − | 0.581376i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 25.8383 | + | 14.9178i | 0.922209 | + | 0.532438i | ||||
\(786\) | −46.1109 | + | 56.4600i | −1.64472 | + | 2.01386i | ||||
\(787\) | 1.94091 | + | 1.12059i | 0.0691860 | + | 0.0399446i | 0.534194 | − | 0.845362i | \(-0.320615\pi\) |
−0.465008 | + | 0.885307i | \(0.653949\pi\) | |||||||
\(788\) | −26.2561 | − | 15.1590i | −0.935336 | − | 0.540016i | ||||
\(789\) | −6.48012 | − | 17.0937i | −0.230698 | − | 0.608550i | ||||
\(790\) | 11.3468 | + | 6.55108i | 0.403701 | + | 0.233077i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 9.79551 | − | 8.67333i | 0.348068 | − | 0.308193i | ||||
\(793\) | −8.87159 | + | 15.3660i | −0.315039 | + | 0.545664i | ||||
\(794\) | 25.1766 | 0.893484 | ||||||||
\(795\) | 4.24475 | − | 5.19744i | 0.150546 | − | 0.184334i | ||||
\(796\) | − | 75.8182i | − | 2.68731i | ||||||
\(797\) | 22.1077 | + | 38.2916i | 0.783094 | + | 1.35636i | 0.930131 | + | 0.367227i | \(0.119693\pi\) |
−0.147037 | + | 0.989131i | \(0.546974\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 16.8668 | − | 29.2142i | 0.596705 | − | 1.03352i | ||||
\(800\) | −26.4522 | − | 15.2722i | −0.935226 | − | 0.539953i | ||||
\(801\) | −0.972303 | − | 4.76925i | −0.0343546 | − | 0.168513i | ||||
\(802\) | −11.3225 | − | 19.6112i | −0.399812 | − | 0.692495i | ||||
\(803\) | 3.54309 | + | 6.13682i | 0.125033 | + | 0.216564i | ||||
\(804\) | −86.3133 | − | 70.4921i | −3.04404 | − | 2.48607i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −6.84243 | + | 3.95048i | −0.241014 | + | 0.139150i | ||||
\(807\) | 3.07074 | + | 2.50788i | 0.108095 | + | 0.0882814i | ||||
\(808\) | 12.1145i | 0.426185i | ||||||||
\(809\) | 4.31478 | − | 2.49114i | 0.151699 | − | 0.0875837i | −0.422229 | − | 0.906489i | \(-0.638752\pi\) |
0.573928 | + | 0.818906i | \(0.305419\pi\) | |||||||
\(810\) | −11.4493 | − | 26.9129i | −0.402286 | − | 0.945621i | ||||
\(811\) | 36.5749i | 1.28432i | 0.766571 | + | 0.642160i | \(0.221961\pi\) | ||||
−0.766571 | + | 0.642160i | \(0.778039\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −41.3049 | − | 6.71844i | −1.44863 | − | 0.235626i | ||||
\(814\) | 4.26182 | 0.149377 | ||||||||
\(815\) | 5.52693 | − | 9.57292i | 0.193600 | − | 0.335325i | ||||
\(816\) | −10.9469 | + | 67.3014i | −0.383218 | + | 2.35602i | ||||
\(817\) | −7.39861 | + | 4.27159i | −0.258845 | + | 0.149444i | ||||
\(818\) | −38.6225 | −1.35040 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 24.8690 | 0.868465 | ||||||||
\(821\) | 34.8397 | − | 20.1147i | 1.21591 | − | 0.702008i | 0.251872 | − | 0.967761i | \(-0.418954\pi\) |
0.964041 | + | 0.265753i | \(0.0856205\pi\) | |||||||
\(822\) | −60.5480 | − | 49.4496i | −2.11185 | − | 1.72475i | ||||
\(823\) | 17.9016 | − | 31.0065i | 0.624011 | − | 1.08082i | −0.364720 | − | 0.931117i | \(-0.618835\pi\) |
0.988731 | − | 0.149701i | \(-0.0478313\pi\) | |||||||
\(824\) | −52.3638 | −1.82418 | ||||||||
\(825\) | −1.29886 | − | 3.42620i | −0.0452204 | − | 0.119285i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 32.0733i | − | 1.11530i | −0.830077 | − | 0.557648i | \(-0.811704\pi\) | ||
0.830077 | − | 0.557648i | \(-0.188296\pi\) | |||||||
\(828\) | 65.9791 | − | 13.4511i | 2.29293 | − | 0.467458i | ||||
\(829\) | 14.0640 | − | 8.11986i | 0.488463 | − | 0.282014i | −0.235474 | − | 0.971881i | \(-0.575664\pi\) |
0.723937 | + | 0.689866i | \(0.242331\pi\) | |||||||
\(830\) | 28.3874i | 0.985343i | ||||||||
\(831\) | 18.4163 | − | 6.98152i | 0.638854 | − | 0.242186i | ||||
\(832\) | −5.66023 | + | 3.26793i | −0.196233 | + | 0.113295i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −4.54081 | + | 27.9169i | −0.157236 | + | 0.966682i | ||||
\(835\) | −13.8248 | − | 23.9453i | −0.478429 | − | 0.828663i | ||||
\(836\) | −2.77157 | − | 4.80050i | −0.0958568 | − | 0.166029i | ||||
\(837\) | −10.8982 | + | 6.88540i | −0.376697 | + | 0.237994i | ||||
\(838\) | −9.60684 | − | 5.54651i | −0.331863 | − | 0.191601i | ||||
\(839\) | 1.35145 | − | 2.34077i | 0.0466571 | − | 0.0808125i | −0.841754 | − | 0.539862i | \(-0.818477\pi\) |
0.888411 | + | 0.459049i | \(0.151810\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 2.67914 | + | 4.64041i | 0.0923842 | + | 0.160014i | ||||
\(842\) | 29.9129i | 1.03087i | ||||||||
\(843\) | −34.8188 | − | 5.66346i | −1.19922 | − | 0.195060i | ||||
\(844\) | −38.3853 | −1.32128 | ||||||||
\(845\) | 7.19974 | − | 12.4703i | 0.247679 | − | 0.428992i | ||||
\(846\) | 58.0534 | − | 11.8353i | 1.99592 | − | 0.406906i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −23.7962 | − | 13.7388i | −0.817166 | − | 0.471791i | ||||
\(849\) | 20.7904 | + | 3.38167i | 0.713526 | + | 0.116058i | ||||
\(850\) | 34.1293 | + | 19.7046i | 1.17063 | + | 0.675861i | ||||
\(851\) | 10.9575 | + | 6.32632i | 0.375619 | + | 0.216864i | ||||
\(852\) | −84.1117 | − | 13.6812i | −2.88162 | − | 0.468710i | ||||
\(853\) | 41.3187 | + | 23.8554i | 1.41473 | + | 0.816793i | 0.995829 | − | 0.0912411i | \(-0.0290834\pi\) |
0.418897 | + | 0.908034i | \(0.362417\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −7.00378 | + | 1.42785i | −0.239524 | + | 0.0488316i | ||||
\(856\) | 0.537495 | − | 0.930969i | 0.0183712 | − | 0.0318199i | ||||
\(857\) | −17.8795 | −0.610751 | −0.305375 | − | 0.952232i | \(-0.598782\pi\) | ||||
−0.305375 | + | 0.952232i | \(0.598782\pi\) | |||||||
\(858\) | −3.35797 | − | 0.546190i | −0.114639 | − | 0.0186466i | ||||
\(859\) | − | 33.7058i | − | 1.15003i | −0.818144 | − | 0.575014i | \(-0.804997\pi\) | ||
0.818144 | − | 0.575014i | \(-0.195003\pi\) | |||||||
\(860\) | −13.3034 | − | 23.0422i | −0.453642 | − | 0.785731i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 21.6367 | − | 37.4759i | 0.736950 | − | 1.27643i | ||||
\(863\) | −16.4318 | − | 9.48693i | −0.559347 | − | 0.322939i | 0.193537 | − | 0.981093i | \(-0.438004\pi\) |
−0.752883 | + | 0.658154i | \(0.771338\pi\) | |||||||
\(864\) | −39.1184 | + | 24.7147i | −1.33084 | + | 0.840812i | ||||
\(865\) | 2.54826 | + | 4.41371i | 0.0866434 | + | 0.150071i | ||||
\(866\) | 16.0155 | + | 27.7396i | 0.544228 | + | 0.942630i | ||||
\(867\) | 0.729981 | − | 4.48791i | 0.0247915 | − | 0.152417i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 2.15351 | − | 1.24333i | 0.0730530 | − | 0.0421772i | ||||
\(870\) | 30.8501 | − | 11.6951i | 1.04592 | − | 0.396502i | ||||
\(871\) | 16.7159i | 0.566397i | ||||||||
\(872\) | −33.0748 | + | 19.0957i | −1.12005 | + | 0.646663i | ||||
\(873\) | 29.7518 | − | 6.06547i | 1.00695 | − | 0.205285i | ||||
\(874\) | − | 23.4204i | − | 0.792206i | ||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −33.3415 | − | 87.9501i | −1.12650 | − | 2.97156i | ||||
\(877\) | 37.2376 | 1.25742 | 0.628712 | − | 0.777638i | \(-0.283582\pi\) | ||||
0.628712 | + | 0.777638i | \(0.283582\pi\) | |||||||
\(878\) | −28.7035 | + | 49.7159i | −0.968695 | + | 1.67783i | ||||
\(879\) | 36.1332 | + | 29.5100i | 1.21874 | + | 0.995347i | ||||
\(880\) | 5.94726 | − | 3.43365i | 0.200482 | − | 0.115748i | ||||
\(881\) | 4.71527 | 0.158862 | 0.0794308 | − | 0.996840i | \(-0.474690\pi\) | ||||
0.0794308 | + | 0.996840i | \(0.474690\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 30.1766 | 1.01552 | 0.507762 | − | 0.861497i | \(-0.330473\pi\) | ||||
0.507762 | + | 0.861497i | \(0.330473\pi\) | |||||||
\(884\) | 22.2665 | − | 12.8556i | 0.748904 | − | 0.432380i | ||||
\(885\) | −1.24197 | + | 7.63564i | −0.0417485 | + | 0.256669i | ||||
\(886\) | 6.33251 | − | 10.9682i | 0.212745 | − | 0.368485i | ||||
\(887\) | −38.4434 | −1.29080 | −0.645402 | − | 0.763843i | \(-0.723310\pi\) | ||||
−0.645402 | + | 0.763843i | \(0.723310\pi\) | |||||||
\(888\) | −32.2084 | − | 5.23886i | −1.08084 | − | 0.175805i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | − | 5.27243i | − | 0.176732i | ||||||
\(891\) | −5.50997 | − | 0.672063i | −0.184591 | − | 0.0225149i | ||||
\(892\) | 32.9058 | − | 18.9981i | 1.10177 | − | 0.636105i | ||||
\(893\) | − | 14.4799i | − | 0.484550i | ||||||
\(894\) | 36.9737 | + | 30.1965i | 1.23659 | + | 1.00992i | ||||
\(895\) | −9.03135 | + | 5.21425i | −0.301885 | + | 0.174293i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −7.82286 | − | 6.38894i | −0.261198 | − | 0.213320i | ||||
\(898\) | −16.1329 | − | 27.9431i | −0.538363 | − | 0.932472i | ||||
\(899\) | −7.27098 | − | 12.5937i | −0.242501 | − | 0.420023i | ||||
\(900\) | 9.71544 | + | 47.6553i | 0.323848 | + | 1.58851i | ||||
\(901\) | 11.8628 | + | 6.84900i | 0.395208 | + | 0.228173i | ||||
\(902\) | 3.35857 | − | 5.81721i | 0.111828 | − | 0.193692i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −22.8781 | − | 39.6261i | −0.760916 | − | 1.31794i | ||||
\(905\) | 15.8755i | 0.527719i | ||||||||
\(906\) | 26.9639 | − | 33.0157i | 0.895816 | − | 1.09687i | ||||
\(907\) | 43.5902 | 1.44739 | 0.723695 | − | 0.690120i | \(-0.242442\pi\) | ||||
0.723695 | + | 0.690120i | \(0.242442\pi\) | |||||||
\(908\) | 49.2103 | − | 85.2348i | 1.63310 | − | 2.82862i | ||||
\(909\) | 3.84802 | − | 3.40719i | 0.127631 | − | 0.113009i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −1.67736 | − | 0.968423i | −0.0555734 | − | 0.0320853i | 0.471956 | − | 0.881622i | \(-0.343548\pi\) |
−0.527529 | + | 0.849537i | \(0.676881\pi\) | |||||||
\(912\) | 10.3749 | + | 27.3676i | 0.343548 | + | 0.906233i | ||||
\(913\) | 4.66585 | + | 2.69383i | 0.154417 | + | 0.0891528i | ||||
\(914\) | −24.2025 | − | 13.9733i | −0.800548 | − | 0.462197i | ||||
\(915\) | −19.8360 | + | 24.2879i | −0.655756 | + | 0.802934i | ||||
\(916\) | −24.6379 | − | 14.2247i | −0.814058 | − | 0.469997i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 50.4716 | − | 31.8876i | 1.66581 | − | 1.05245i | ||||
\(919\) | 4.61421 | − | 7.99205i | 0.152209 | − | 0.263634i | −0.779830 | − | 0.625991i | \(-0.784695\pi\) |
0.932039 | + | 0.362357i | \(0.118028\pi\) | |||||||
\(920\) | 42.0755 | 1.38719 | ||||||||
\(921\) | 13.1206 | + | 34.6104i | 0.432339 | + | 1.14045i | ||||
\(922\) | 1.72887i | 0.0569372i | ||||||||
\(923\) | 6.39118 | + | 11.0698i | 0.210368 | + | 0.364368i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −4.56937 | + | 7.91438i | −0.150240 | + | 0.260223i | ||||
\(926\) | 93.3880 | + | 53.9176i | 3.06892 | + | 1.77184i | ||||
\(927\) | 14.7273 | + | 16.6327i | 0.483707 | + | 0.546291i | ||||
\(928\) | −26.0987 | − | 45.2043i | −0.856732 | − | 1.48390i | ||||
\(929\) | −26.6849 | − | 46.2197i | −0.875504 | − | 1.51642i | −0.856225 | − | 0.516603i | \(-0.827196\pi\) |
−0.0192794 | − | 0.999814i | \(-0.506137\pi\) | |||||||
\(930\) | −13.0571 | + | 4.94989i | −0.428160 | + | 0.162313i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −86.0952 | + | 49.7071i | −2.82014 | + | 1.62821i | ||||
\(933\) | 4.51343 | − | 27.7485i | 0.147763 | − | 0.908446i | ||||
\(934\) | − | 101.961i | − | 3.33627i | ||||||
\(935\) | −2.96481 | + | 1.71173i | −0.0969595 | + | 0.0559796i | ||||
\(936\) | 24.7062 | + | 8.25560i | 0.807548 | + | 0.269843i | ||||
\(937\) | − | 28.6378i | − | 0.935555i | −0.883846 | − | 0.467778i | \(-0.845055\pi\) | ||
0.883846 | − | 0.467778i | \(-0.154945\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 15.4268 | − | 18.8891i | 0.503434 | − | 0.616424i | ||||
\(940\) | 45.0959 | 1.47087 | ||||||||
\(941\) | 0.688308 | − | 1.19218i | 0.0224382 | − | 0.0388641i | −0.854588 | − | 0.519306i | \(-0.826190\pi\) |
0.877026 | + | 0.480442i | \(0.159524\pi\) | |||||||
\(942\) | −100.019 | + | 37.9167i | −3.25880 | + | 1.23539i | ||||
\(943\) | 17.2704 | − | 9.97105i | 0.562401 | − | 0.324702i | ||||
\(944\) | 31.6764 | 1.03098 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −7.18651 | −0.233653 | ||||||||
\(947\) | −47.0080 | + | 27.1401i | −1.52755 | + | 0.881933i | −0.528090 | + | 0.849188i | \(0.677092\pi\) |
−0.999464 | + | 0.0327450i | \(0.989575\pi\) | |||||||
\(948\) | −30.8632 | + | 11.7001i | −1.00239 | + | 0.380001i | ||||
\(949\) | −7.05423 | + | 12.2183i | −0.228990 | + | 0.396622i | ||||
\(950\) | 16.9160 | 0.548829 | ||||||||
\(951\) | −22.2374 | + | 27.2283i | −0.721097 | + | 0.882939i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 11.2998i | 0.366036i | 0.983110 | + | 0.183018i | \(0.0585867\pi\) | ||||
−0.983110 | + | 0.183018i | \(0.941413\pi\) | |||||||
\(954\) | 4.80589 | + | 23.5734i | 0.155596 | + | 0.763217i | ||||
\(955\) | 4.12399 | − | 2.38099i | 0.133449 | − | 0.0770469i | ||||
\(956\) | 40.9911i | 1.32575i | ||||||||
\(957\) | 1.00528 | − | 6.18044i | 0.0324960 | − | 0.199785i | ||||
\(958\) | −85.6097 | + | 49.4268i | −2.76592 | + | 1.59691i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −10.8012 | + | 4.09467i | −0.348607 | + | 0.132155i | ||||
\(961\) | −12.4226 | − | 21.5166i | −0.400729 | − | 0.694083i | ||||
\(962\) | 4.24260 | + | 7.34839i | 0.136787 | + | 0.236922i | ||||
\(963\) | −0.446882 | + | 0.0911054i | −0.0144006 | + | 0.00293583i | ||||
\(964\) | 34.6825 | + | 20.0240i | 1.11705 | + | 0.644928i | ||||
\(965\) | 4.25324 | − | 7.36682i | 0.136917 | − | 0.237146i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 5.93412 | + | 10.2782i | 0.190829 | + | 0.330525i | 0.945525 | − | 0.325549i | \(-0.105549\pi\) |
−0.754696 | + | 0.656074i | \(0.772216\pi\) | |||||||
\(968\) | 75.0929i | 2.41358i | ||||||||
\(969\) | −5.17207 | − | 13.6432i | −0.166151 | − | 0.438283i | ||||
\(970\) | 32.8907 | 1.05606 | ||||||||
\(971\) | −28.0837 | + | 48.6424i | −0.901249 | + | 1.56101i | −0.0753736 | + | 0.997155i | \(0.524015\pi\) |
−0.825875 | + | 0.563853i | \(0.809318\pi\) | |||||||
\(972\) | 70.7552 | + | 20.5465i | 2.26947 | + | 0.659029i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 17.0826 | + | 9.86263i | 0.547361 | + | 0.316019i | ||||
\(975\) | 4.61459 | − | 5.65029i | 0.147785 | − | 0.180954i | ||||
\(976\) | 111.201 | + | 64.2020i | 3.55946 | + | 2.05506i | ||||
\(977\) | 18.7626 | + | 10.8326i | 0.600268 | + | 0.346565i | 0.769147 | − | 0.639072i | \(-0.220681\pi\) |
−0.168879 | + | 0.985637i | \(0.554015\pi\) | |||||||
\(978\) | 14.0479 | + | 37.0564i | 0.449202 | + | 1.18493i | ||||
\(979\) | −0.866594 | − | 0.500328i | −0.0276964 | − | 0.0159906i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 15.3678 | + | 5.13516i | 0.490656 | + | 0.163953i | ||||
\(982\) | −4.99072 | + | 8.64419i | −0.159260 | + | 0.275847i | ||||
\(983\) | 19.4001 | 0.618768 | 0.309384 | − | 0.950937i | \(-0.399877\pi\) | ||||
0.309384 | + | 0.950937i | \(0.399877\pi\) | |||||||
\(984\) | −32.5330 | + | 39.8347i | −1.03711 | + | 1.26988i | ||||
\(985\) | 8.03731i | 0.256090i | ||||||||
\(986\) | 33.6733 | + | 58.3238i | 1.07238 | + | 1.85741i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 5.51814 | − | 9.55771i | 0.175556 | − | 0.304071i | ||||
\(989\) | −18.4771 | − | 10.6678i | −0.587539 | − | 0.339216i | ||||
\(990\) | −5.70280 | − | 1.90559i | −0.181247 | − | 0.0605637i | ||||
\(991\) | −12.6630 | − | 21.9330i | −0.402254 | − | 0.696725i | 0.591743 | − | 0.806126i | \(-0.298440\pi\) |
−0.993998 | + | 0.109402i | \(0.965107\pi\) | |||||||
\(992\) | 11.0461 | + | 19.1325i | 0.350715 | + | 0.607456i | ||||
\(993\) | 35.5072 | + | 28.9988i | 1.12679 | + | 0.920248i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −17.4066 | + | 10.0497i | −0.551828 | + | 0.318598i | ||||
\(996\) | −55.3879 | − | 45.2354i | −1.75503 | − | 1.43334i | ||||
\(997\) | 5.56584i | 0.176272i | 0.996108 | + | 0.0881360i | \(0.0280910\pi\) | ||||
−0.996108 | + | 0.0881360i | \(0.971909\pi\) | |||||||
\(998\) | 72.2309 | − | 41.7025i | 2.28643 | − | 1.32007i | ||||
\(999\) | 7.39454 | + | 11.7041i | 0.233953 | + | 0.370300i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))