Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(295,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.295");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.f (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.309123.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 3x^{5} + 10x^{4} - 15x^{3} + 19x^{2} - 12x + 3 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 295.2 | ||
Root | \(0.500000 + 2.05195i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 882.295 |
Dual form | 882.2.f.m.589.2 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | + | 0.866025i | −0.353553 | + | 0.612372i | ||||
\(3\) | 0.933463 | − | 1.45899i | 0.538935 | − | 0.842347i | ||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | −0.230252 | − | 0.398809i | −0.102972 | − | 0.178353i | 0.809936 | − | 0.586519i | \(-0.199502\pi\) |
−0.912908 | + | 0.408166i | \(0.866169\pi\) | |||||||
\(6\) | 0.796790 | + | 1.53790i | 0.325288 | + | 0.627844i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −1.25729 | − | 2.72382i | −0.419098 | − | 0.907941i | ||||
\(10\) | 0.460505 | 0.145624 | ||||||||
\(11\) | 1.82383 | − | 3.15897i | 0.549906 | − | 0.952465i | −0.448374 | − | 0.893846i | \(-0.647997\pi\) |
0.998280 | − | 0.0586193i | \(-0.0186698\pi\) | |||||||
\(12\) | −1.73025 | − | 0.0789082i | −0.499481 | − | 0.0227788i | ||||
\(13\) | −0.730252 | − | 1.26483i | −0.202536 | − | 0.350802i | 0.746809 | − | 0.665038i | \(-0.231585\pi\) |
−0.949345 | + | 0.314236i | \(0.898252\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.796790 | − | 0.0363376i | −0.205730 | − | 0.00938234i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −3.73385 | −0.905592 | −0.452796 | − | 0.891614i | \(-0.649573\pi\) | ||||
−0.452796 | + | 0.891614i | \(0.649573\pi\) | |||||||
\(18\) | 2.98755 | + | 0.273062i | 0.704172 | + | 0.0643614i | ||||
\(19\) | −4.05408 | −0.930071 | −0.465035 | − | 0.885292i | \(-0.653958\pi\) | ||||
−0.465035 | + | 0.885292i | \(0.653958\pi\) | |||||||
\(20\) | −0.230252 | + | 0.398809i | −0.0514860 | + | 0.0891764i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.82383 | + | 3.15897i | 0.388842 | + | 0.673495i | ||||
\(23\) | −0.566537 | − | 0.981271i | −0.118131 | − | 0.204609i | 0.800896 | − | 0.598804i | \(-0.204357\pi\) |
−0.919027 | + | 0.394194i | \(0.871024\pi\) | |||||||
\(24\) | 0.933463 | − | 1.45899i | 0.190542 | − | 0.297815i | ||||
\(25\) | 2.39397 | − | 4.14647i | 0.478794 | − | 0.829295i | ||||
\(26\) | 1.46050 | 0.286429 | ||||||||
\(27\) | −5.14766 | − | 0.708209i | −0.990668 | − | 0.136295i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.48755 | + | 7.77266i | −0.833317 | + | 1.44335i | 0.0620772 | + | 0.998071i | \(0.480228\pi\) |
−0.895394 | + | 0.445275i | \(0.853106\pi\) | |||||||
\(30\) | 0.429864 | − | 0.671871i | 0.0784821 | − | 0.122666i | ||||
\(31\) | −0.257295 | − | 0.445647i | −0.0462115 | − | 0.0800406i | 0.841994 | − | 0.539486i | \(-0.181381\pi\) |
−0.888206 | + | 0.459446i | \(0.848048\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | −2.90642 | − | 5.60973i | −0.505943 | − | 0.976529i | ||||
\(34\) | 1.86693 | − | 3.23361i | 0.320175 | − | 0.554560i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −1.73025 | + | 2.45076i | −0.288375 | + | 0.408460i | ||||
\(37\) | 9.10817 | 1.49737 | 0.748687 | − | 0.662924i | \(-0.230685\pi\) | ||||
0.748687 | + | 0.662924i | \(0.230685\pi\) | |||||||
\(38\) | 2.02704 | − | 3.51094i | 0.328830 | − | 0.569550i | ||||
\(39\) | −2.52704 | − | 0.115246i | −0.404651 | − | 0.0184541i | ||||
\(40\) | −0.230252 | − | 0.398809i | −0.0364061 | − | 0.0630572i | ||||
\(41\) | 0.472958 | + | 0.819187i | 0.0738636 | + | 0.127936i | 0.900592 | − | 0.434666i | \(-0.143134\pi\) |
−0.826728 | + | 0.562602i | \(0.809800\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.66372 | − | 8.07779i | 0.711210 | − | 1.23185i | −0.253193 | − | 0.967416i | \(-0.581481\pi\) |
0.964403 | − | 0.264436i | \(-0.0851858\pi\) | |||||||
\(44\) | −3.64766 | −0.549906 | ||||||||
\(45\) | −0.796790 | + | 1.12859i | −0.118778 | + | 0.168240i | ||||
\(46\) | 1.13307 | 0.167063 | ||||||||
\(47\) | 1.16372 | − | 2.01561i | 0.169745 | − | 0.294007i | −0.768585 | − | 0.639748i | \(-0.779039\pi\) |
0.938330 | + | 0.345740i | \(0.112372\pi\) | |||||||
\(48\) | 0.796790 | + | 1.53790i | 0.115007 | + | 0.221976i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 2.39397 | + | 4.14647i | 0.338558 | + | 0.586400i | ||||
\(51\) | −3.48541 | + | 5.44765i | −0.488055 | + | 0.762823i | ||||
\(52\) | −0.730252 | + | 1.26483i | −0.101268 | + | 0.175401i | ||||
\(53\) | −12.4356 | −1.70816 | −0.854080 | − | 0.520141i | \(-0.825879\pi\) | ||||
−0.854080 | + | 0.520141i | \(0.825879\pi\) | |||||||
\(54\) | 3.18716 | − | 4.10390i | 0.433717 | − | 0.558470i | ||||
\(55\) | −1.67977 | −0.226500 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −3.78434 | + | 5.91486i | −0.501248 | + | 0.783443i | ||||
\(58\) | −4.48755 | − | 7.77266i | −0.589244 | − | 1.02060i | ||||
\(59\) | −6.44805 | − | 11.1684i | −0.839465 | − | 1.45400i | −0.890343 | − | 0.455291i | \(-0.849535\pi\) |
0.0508779 | − | 0.998705i | \(-0.483798\pi\) | |||||||
\(60\) | 0.366926 | + | 0.708209i | 0.0473699 | + | 0.0914294i | ||||
\(61\) | 6.04163 | − | 10.4644i | 0.773552 | − | 1.33983i | −0.162053 | − | 0.986782i | \(-0.551812\pi\) |
0.935605 | − | 0.353049i | \(-0.114855\pi\) | |||||||
\(62\) | 0.514589 | 0.0653529 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −0.336285 | + | 0.582462i | −0.0417110 | + | 0.0722456i | ||||
\(66\) | 6.31138 | + | 0.287831i | 0.776877 | + | 0.0354295i | ||||
\(67\) | 1.16012 | + | 2.00938i | 0.141731 | + | 0.245485i | 0.928148 | − | 0.372210i | \(-0.121400\pi\) |
−0.786418 | + | 0.617695i | \(0.788067\pi\) | |||||||
\(68\) | 1.86693 | + | 3.23361i | 0.226398 | + | 0.392133i | ||||
\(69\) | −1.96050 | − | 0.0894089i | −0.236017 | − | 0.0107636i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.67977 | 0.199352 | 0.0996758 | − | 0.995020i | \(-0.468219\pi\) | ||||
0.0996758 | + | 0.995020i | \(0.468219\pi\) | |||||||
\(72\) | −1.25729 | − | 2.72382i | −0.148174 | − | 0.321006i | ||||
\(73\) | −13.2412 | −1.54977 | −0.774885 | − | 0.632102i | \(-0.782192\pi\) | ||||
−0.774885 | + | 0.632102i | \(0.782192\pi\) | |||||||
\(74\) | −4.55408 | + | 7.88791i | −0.529402 | + | 0.916950i | ||||
\(75\) | −3.81498 | − | 7.36335i | −0.440516 | − | 0.850246i | ||||
\(76\) | 2.02704 | + | 3.51094i | 0.232518 | + | 0.402732i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 1.36333 | − | 2.13086i | 0.154366 | − | 0.241272i | ||||
\(79\) | 2.50360 | − | 4.33636i | 0.281677 | − | 0.487879i | −0.690121 | − | 0.723694i | \(-0.742443\pi\) |
0.971798 | + | 0.235815i | \(0.0757761\pi\) | |||||||
\(80\) | 0.460505 | 0.0514860 | ||||||||
\(81\) | −5.83842 | + | 6.84929i | −0.648713 | + | 0.761033i | ||||
\(82\) | −0.945916 | −0.104459 | ||||||||
\(83\) | −3.32383 | + | 5.75705i | −0.364838 | + | 0.631918i | −0.988750 | − | 0.149577i | \(-0.952209\pi\) |
0.623912 | + | 0.781494i | \(0.285542\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.859728 | + | 1.48909i | 0.0932506 | + | 0.161515i | ||||
\(86\) | 4.66372 | + | 8.07779i | 0.502901 | + | 0.871051i | ||||
\(87\) | 7.15126 | + | 13.8028i | 0.766696 | + | 1.47981i | ||||
\(88\) | 1.82383 | − | 3.15897i | 0.194421 | − | 0.336747i | ||||
\(89\) | −2.72665 | −0.289025 | −0.144512 | − | 0.989503i | \(-0.546161\pi\) | ||||
−0.144512 | + | 0.989503i | \(0.546161\pi\) | |||||||
\(90\) | −0.578990 | − | 1.25433i | −0.0610309 | − | 0.132218i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −0.566537 | + | 0.981271i | −0.0590656 | + | 0.102305i | ||||
\(93\) | −0.890369 | − | 0.0406053i | −0.0923270 | − | 0.00421058i | ||||
\(94\) | 1.16372 | + | 2.01561i | 0.120028 | + | 0.207895i | ||||
\(95\) | 0.933463 | + | 1.61680i | 0.0957713 | + | 0.165881i | ||||
\(96\) | −1.73025 | − | 0.0789082i | −0.176593 | − | 0.00805354i | ||||
\(97\) | 5.59358 | − | 9.68836i | 0.567942 | − | 0.983704i | −0.428827 | − | 0.903386i | \(-0.641073\pi\) |
0.996769 | − | 0.0803178i | \(-0.0255935\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −10.8976 | − | 0.996040i | −1.09525 | − | 0.100106i | ||||
\(100\) | −4.78794 | −0.478794 | ||||||||
\(101\) | 6.87792 | − | 11.9129i | 0.684378 | − | 1.18538i | −0.289254 | − | 0.957253i | \(-0.593407\pi\) |
0.973632 | − | 0.228125i | \(-0.0732596\pi\) | |||||||
\(102\) | −2.97509 | − | 5.74228i | −0.294578 | − | 0.568570i | ||||
\(103\) | 5.58113 | + | 9.66679i | 0.549925 | + | 0.952498i | 0.998279 | + | 0.0586417i | \(0.0186769\pi\) |
−0.448354 | + | 0.893856i | \(0.647990\pi\) | |||||||
\(104\) | −0.730252 | − | 1.26483i | −0.0716071 | − | 0.124027i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 6.21780 | − | 10.7695i | 0.603926 | − | 1.04603i | ||||
\(107\) | 7.78074 | 0.752192 | 0.376096 | − | 0.926581i | \(-0.377266\pi\) | ||||
0.376096 | + | 0.926581i | \(0.377266\pi\) | |||||||
\(108\) | 1.96050 | + | 4.81211i | 0.188650 | + | 0.463046i | ||||
\(109\) | 7.51459 | 0.719767 | 0.359884 | − | 0.932997i | \(-0.382816\pi\) | ||||
0.359884 | + | 0.932997i | \(0.382816\pi\) | |||||||
\(110\) | 0.839883 | − | 1.45472i | 0.0800797 | − | 0.138702i | ||||
\(111\) | 8.50214 | − | 13.2887i | 0.806987 | − | 1.26131i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 3.03064 | + | 5.24922i | 0.285099 | + | 0.493805i | 0.972633 | − | 0.232346i | \(-0.0746403\pi\) |
−0.687534 | + | 0.726152i | \(0.741307\pi\) | |||||||
\(114\) | −3.23025 | − | 6.23476i | −0.302541 | − | 0.583939i | ||||
\(115\) | −0.260893 | + | 0.451880i | −0.0243284 | + | 0.0421380i | ||||
\(116\) | 8.97509 | 0.833317 | ||||||||
\(117\) | −2.52704 | + | 3.57935i | −0.233625 | + | 0.330911i | ||||
\(118\) | 12.8961 | 1.18718 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −0.796790 | − | 0.0363376i | −0.0727366 | − | 0.00331716i | ||||
\(121\) | −1.15272 | − | 1.99658i | −0.104793 | − | 0.181507i | ||||
\(122\) | 6.04163 | + | 10.4644i | 0.546984 | + | 0.947403i | ||||
\(123\) | 1.63667 | + | 0.0746406i | 0.147574 | + | 0.00673011i | ||||
\(124\) | −0.257295 | + | 0.445647i | −0.0231057 | + | 0.0400203i | ||||
\(125\) | −4.50739 | −0.403153 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.80992 | 0.781754 | 0.390877 | − | 0.920443i | \(-0.372172\pi\) | ||||
0.390877 | + | 0.920443i | \(0.372172\pi\) | |||||||
\(128\) | −0.500000 | + | 0.866025i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | −7.43200 | − | 14.3446i | −0.654351 | − | 1.26297i | ||||
\(130\) | −0.336285 | − | 0.582462i | −0.0294941 | − | 0.0510853i | ||||
\(131\) | 10.5687 | + | 18.3055i | 0.923389 | + | 1.59936i | 0.794131 | + | 0.607746i | \(0.207926\pi\) |
0.129258 | + | 0.991611i | \(0.458740\pi\) | |||||||
\(132\) | −3.40496 | + | 5.32190i | −0.296364 | + | 0.463212i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −2.32023 | −0.200438 | ||||||||
\(135\) | 0.902822 | + | 2.21600i | 0.0777025 | + | 0.190723i | ||||
\(136\) | −3.73385 | −0.320175 | ||||||||
\(137\) | 2.20321 | − | 3.81607i | 0.188233 | − | 0.326029i | −0.756428 | − | 0.654077i | \(-0.773057\pi\) |
0.944661 | + | 0.328048i | \(0.106391\pi\) | |||||||
\(138\) | 1.05768 | − | 1.65314i | 0.0900359 | − | 0.140725i | ||||
\(139\) | 1.01245 | + | 1.75362i | 0.0858751 | + | 0.148740i | 0.905764 | − | 0.423783i | \(-0.139298\pi\) |
−0.819889 | + | 0.572523i | \(0.805965\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.85447 | − | 3.57935i | −0.156175 | − | 0.301435i | ||||
\(142\) | −0.839883 | + | 1.45472i | −0.0704815 | + | 0.122077i | ||||
\(143\) | −5.32743 | −0.445502 | ||||||||
\(144\) | 2.98755 | + | 0.273062i | 0.248962 | + | 0.0227552i | ||||
\(145\) | 4.13307 | 0.343233 | ||||||||
\(146\) | 6.62062 | − | 11.4673i | 0.547927 | − | 0.949037i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −4.55408 | − | 7.88791i | −0.374343 | − | 0.648382i | ||||
\(149\) | 4.58113 | + | 7.93474i | 0.375300 | + | 0.650040i | 0.990372 | − | 0.138432i | \(-0.0442062\pi\) |
−0.615071 | + | 0.788471i | \(0.710873\pi\) | |||||||
\(150\) | 8.28434 | + | 0.377808i | 0.676413 | + | 0.0308479i | ||||
\(151\) | 0.0519482 | − | 0.0899768i | 0.00422748 | − | 0.00732221i | −0.863904 | − | 0.503657i | \(-0.831988\pi\) |
0.868131 | + | 0.496334i | \(0.165321\pi\) | |||||||
\(152\) | −4.05408 | −0.328830 | ||||||||
\(153\) | 4.69455 | + | 10.1703i | 0.379532 | + | 0.822224i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.118485 | + | 0.205223i | −0.00951698 | + | 0.0164839i | ||||
\(156\) | 1.16372 | + | 2.24611i | 0.0931718 | + | 0.179832i | ||||
\(157\) | 10.4911 | + | 18.1712i | 0.837285 | + | 1.45022i | 0.892157 | + | 0.451726i | \(0.149192\pi\) |
−0.0548721 | + | 0.998493i | \(0.517475\pi\) | |||||||
\(158\) | 2.50360 | + | 4.33636i | 0.199176 | + | 0.344982i | ||||
\(159\) | −11.6082 | + | 18.1434i | −0.920588 | + | 1.43886i | ||||
\(160\) | −0.230252 | + | 0.398809i | −0.0182031 | + | 0.0315286i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −3.01245 | − | 8.48087i | −0.236681 | − | 0.666320i | ||||
\(163\) | 23.0364 | 1.80435 | 0.902174 | − | 0.431372i | \(-0.141970\pi\) | ||||
0.902174 | + | 0.431372i | \(0.141970\pi\) | |||||||
\(164\) | 0.472958 | − | 0.819187i | 0.0369318 | − | 0.0639678i | ||||
\(165\) | −1.56800 | + | 2.45076i | −0.122069 | + | 0.190791i | ||||
\(166\) | −3.32383 | − | 5.75705i | −0.257979 | − | 0.446833i | ||||
\(167\) | 5.31498 | + | 9.20581i | 0.411285 | + | 0.712367i | 0.995031 | − | 0.0995698i | \(-0.0317467\pi\) |
−0.583745 | + | 0.811937i | \(0.698413\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.43346 | − | 9.41103i | 0.417959 | − | 0.723926i | ||||
\(170\) | −1.71946 | −0.131876 | ||||||||
\(171\) | 5.09718 | + | 11.0426i | 0.389791 | + | 0.844449i | ||||
\(172\) | −9.32743 | −0.711210 | ||||||||
\(173\) | 1.46936 | − | 2.54500i | 0.111713 | − | 0.193493i | −0.804748 | − | 0.593617i | \(-0.797699\pi\) |
0.916461 | + | 0.400124i | \(0.131033\pi\) | |||||||
\(174\) | −15.5292 | − | 0.708209i | −1.17726 | − | 0.0536892i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 1.82383 | + | 3.15897i | 0.137476 | + | 0.238116i | ||||
\(177\) | −22.3135 | − | 1.01761i | −1.67719 | − | 0.0764882i | ||||
\(178\) | 1.36333 | − | 2.36135i | 0.102186 | − | 0.176991i | ||||
\(179\) | 9.16225 | 0.684819 | 0.342409 | − | 0.939551i | \(-0.388757\pi\) | ||||
0.342409 | + | 0.939551i | \(0.388757\pi\) | |||||||
\(180\) | 1.37578 | + | 0.125747i | 0.102545 | + | 0.00937259i | ||||
\(181\) | −22.4284 | −1.66709 | −0.833545 | − | 0.552452i | \(-0.813692\pi\) | ||||
−0.833545 | + | 0.552452i | \(0.813692\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −9.62782 | − | 18.5828i | −0.711709 | − | 1.37368i | ||||
\(184\) | −0.566537 | − | 0.981271i | −0.0417657 | − | 0.0723403i | ||||
\(185\) | −2.09718 | − | 3.63242i | −0.154188 | − | 0.267061i | ||||
\(186\) | 0.480350 | − | 0.750780i | 0.0352210 | − | 0.0550498i | ||||
\(187\) | −6.80992 | + | 11.7951i | −0.497990 | + | 0.862545i | ||||
\(188\) | −2.32743 | −0.169745 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1.86693 | −0.135441 | ||||||||
\(191\) | −1.24484 | + | 2.15613i | −0.0900736 | + | 0.156012i | −0.907542 | − | 0.419962i | \(-0.862044\pi\) |
0.817468 | + | 0.575974i | \(0.195377\pi\) | |||||||
\(192\) | 0.933463 | − | 1.45899i | 0.0673669 | − | 0.105293i | ||||
\(193\) | −2.24484 | − | 3.88818i | −0.161587 | − | 0.279877i | 0.773851 | − | 0.633368i | \(-0.218328\pi\) |
−0.935438 | + | 0.353491i | \(0.884995\pi\) | |||||||
\(194\) | 5.59358 | + | 9.68836i | 0.401596 | + | 0.695584i | ||||
\(195\) | 0.535897 | + | 1.03434i | 0.0383763 | + | 0.0740708i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 12.7339 | 0.907249 | 0.453625 | − | 0.891193i | \(-0.350131\pi\) | ||||
0.453625 | + | 0.891193i | \(0.350131\pi\) | |||||||
\(198\) | 6.31138 | − | 8.93955i | 0.448530 | − | 0.635306i | ||||
\(199\) | −2.94592 | −0.208830 | −0.104415 | − | 0.994534i | \(-0.533297\pi\) | ||||
−0.104415 | + | 0.994534i | \(0.533297\pi\) | |||||||
\(200\) | 2.39397 | − | 4.14647i | 0.169279 | − | 0.293200i | ||||
\(201\) | 4.01459 | + | 0.183086i | 0.283167 | + | 0.0129139i | ||||
\(202\) | 6.87792 | + | 11.9129i | 0.483928 | + | 0.838189i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 6.46050 | + | 0.294632i | 0.452326 | + | 0.0206283i | ||||
\(205\) | 0.217799 | − | 0.377240i | 0.0152118 | − | 0.0263476i | ||||
\(206\) | −11.1623 | −0.777711 | ||||||||
\(207\) | −1.96050 | + | 2.77689i | −0.136265 | + | 0.193007i | ||||
\(208\) | 1.46050 | 0.101268 | ||||||||
\(209\) | −7.39397 | + | 12.8067i | −0.511451 | + | 0.885860i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.608168 | − | 1.05338i | −0.0418680 | − | 0.0725176i | 0.844332 | − | 0.535820i | \(-0.179998\pi\) |
−0.886200 | + | 0.463303i | \(0.846664\pi\) | |||||||
\(212\) | 6.21780 | + | 10.7695i | 0.427040 | + | 0.739655i | ||||
\(213\) | 1.56800 | − | 2.45076i | 0.107438 | − | 0.167923i | ||||
\(214\) | −3.89037 | + | 6.73832i | −0.265940 | + | 0.460622i | ||||
\(215\) | −4.29533 | −0.292939 | ||||||||
\(216\) | −5.14766 | − | 0.708209i | −0.350254 | − | 0.0481875i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −3.75729 | + | 6.50783i | −0.254476 | + | 0.440766i | ||||
\(219\) | −12.3602 | + | 19.3188i | −0.835225 | + | 1.30544i | ||||
\(220\) | 0.839883 | + | 1.45472i | 0.0566249 | + | 0.0980773i | ||||
\(221\) | 2.72665 | + | 4.72270i | 0.183415 | + | 0.317683i | ||||
\(222\) | 7.25729 | + | 14.0074i | 0.487078 | + | 0.940117i | ||||
\(223\) | 0.445916 | − | 0.772349i | 0.0298607 | − | 0.0517203i | −0.850709 | − | 0.525637i | \(-0.823827\pi\) |
0.880570 | + | 0.473917i | \(0.157160\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −14.3042 | − | 1.30740i | −0.953612 | − | 0.0871603i | ||||
\(226\) | −6.06128 | −0.403190 | ||||||||
\(227\) | −7.32597 | + | 12.6889i | −0.486242 | + | 0.842195i | −0.999875 | − | 0.0158147i | \(-0.994966\pi\) |
0.513633 | + | 0.858010i | \(0.328299\pi\) | |||||||
\(228\) | 7.01459 | + | 0.319901i | 0.464553 | + | 0.0211859i | ||||
\(229\) | −4.78794 | − | 8.29295i | −0.316396 | − | 0.548013i | 0.663338 | − | 0.748320i | \(-0.269139\pi\) |
−0.979733 | + | 0.200307i | \(0.935806\pi\) | |||||||
\(230\) | −0.260893 | − | 0.451880i | −0.0172028 | − | 0.0297961i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.48755 | + | 7.77266i | −0.294622 | + | 0.510300i | ||||
\(233\) | −14.4284 | −0.945236 | −0.472618 | − | 0.881267i | \(-0.656691\pi\) | ||||
−0.472618 | + | 0.881267i | \(0.656691\pi\) | |||||||
\(234\) | −1.83628 | − | 3.97816i | −0.120042 | − | 0.260060i | ||||
\(235\) | −1.07179 | −0.0699161 | ||||||||
\(236\) | −6.44805 | + | 11.1684i | −0.419732 | + | 0.726998i | ||||
\(237\) | −3.98968 | − | 7.70055i | −0.259158 | − | 0.500205i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −9.15486 | − | 15.8567i | −0.592179 | − | 1.02568i | −0.993938 | − | 0.109938i | \(-0.964935\pi\) |
0.401760 | − | 0.915745i | \(-0.368399\pi\) | |||||||
\(240\) | 0.429864 | − | 0.671871i | 0.0277476 | − | 0.0433691i | ||||
\(241\) | 0.0466924 | − | 0.0808735i | 0.00300772 | − | 0.00520952i | −0.864518 | − | 0.502602i | \(-0.832376\pi\) |
0.867525 | + | 0.497393i | \(0.165709\pi\) | |||||||
\(242\) | 2.30545 | 0.148200 | ||||||||
\(243\) | 4.54309 | + | 14.9118i | 0.291440 | + | 0.956589i | ||||
\(244\) | −12.0833 | −0.773552 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −0.882977 | + | 1.38008i | −0.0562966 | + | 0.0879907i | ||||
\(247\) | 2.96050 | + | 5.12774i | 0.188372 | + | 0.326271i | ||||
\(248\) | −0.257295 | − | 0.445647i | −0.0163382 | − | 0.0282986i | ||||
\(249\) | 5.29679 | + | 10.2234i | 0.335670 | + | 0.647883i | ||||
\(250\) | 2.25370 | − | 3.90352i | 0.142536 | − | 0.246880i | ||||
\(251\) | 18.2733 | 1.15340 | 0.576702 | − | 0.816955i | \(-0.304339\pi\) | ||||
0.576702 | + | 0.816955i | \(0.304339\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −4.13307 | −0.259844 | ||||||||
\(254\) | −4.40496 | + | 7.62961i | −0.276392 | + | 0.478724i | ||||
\(255\) | 2.97509 | + | 0.135679i | 0.186308 | + | 0.00849657i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −10.5256 | − | 18.2308i | −0.656568 | − | 1.13721i | −0.981498 | − | 0.191471i | \(-0.938674\pi\) |
0.324931 | − | 0.945738i | \(-0.394659\pi\) | |||||||
\(258\) | 16.1388 | + | 0.736011i | 1.00476 | + | 0.0458221i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0.672570 | 0.0417110 | ||||||||
\(261\) | 26.8135 | + | 2.45076i | 1.65971 | + | 0.151698i | ||||
\(262\) | −21.1373 | −1.30587 | ||||||||
\(263\) | 2.58259 | − | 4.47318i | 0.159249 | − | 0.275828i | −0.775349 | − | 0.631533i | \(-0.782426\pi\) |
0.934598 | + | 0.355705i | \(0.115759\pi\) | |||||||
\(264\) | −2.90642 | − | 5.60973i | −0.178878 | − | 0.345255i | ||||
\(265\) | 2.86333 | + | 4.95943i | 0.175893 | + | 0.304655i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −2.54523 | + | 3.97816i | −0.155766 | + | 0.243459i | ||||
\(268\) | 1.16012 | − | 2.00938i | 0.0708654 | − | 0.122742i | ||||
\(269\) | 16.8568 | 1.02778 | 0.513889 | − | 0.857857i | \(-0.328204\pi\) | ||||
0.513889 | + | 0.857857i | \(0.328204\pi\) | |||||||
\(270\) | −2.37052 | − | 0.326134i | −0.144266 | − | 0.0198479i | ||||
\(271\) | 25.1124 | 1.52547 | 0.762736 | − | 0.646710i | \(-0.223856\pi\) | ||||
0.762736 | + | 0.646710i | \(0.223856\pi\) | |||||||
\(272\) | 1.86693 | − | 3.23361i | 0.113199 | − | 0.196066i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 2.20321 | + | 3.81607i | 0.133101 | + | 0.230537i | ||||
\(275\) | −8.73239 | − | 15.1249i | −0.526583 | − | 0.912068i | ||||
\(276\) | 0.902822 | + | 1.74255i | 0.0543435 | + | 0.104889i | ||||
\(277\) | −1.69076 | + | 2.92848i | −0.101588 | + | 0.175955i | −0.912339 | − | 0.409436i | \(-0.865726\pi\) |
0.810751 | + | 0.585391i | \(0.199059\pi\) | |||||||
\(278\) | −2.02491 | −0.121446 | ||||||||
\(279\) | −0.890369 | + | 1.26113i | −0.0533050 | + | 0.0755022i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −10.1388 | + | 17.5609i | −0.604831 | + | 1.04760i | 0.387248 | + | 0.921976i | \(0.373426\pi\) |
−0.992078 | + | 0.125622i | \(0.959907\pi\) | |||||||
\(282\) | 4.02704 | + | 0.183653i | 0.239807 | + | 0.0109364i | ||||
\(283\) | 8.67471 | + | 15.0250i | 0.515658 | + | 0.893145i | 0.999835 | + | 0.0181754i | \(0.00578571\pi\) |
−0.484177 | + | 0.874970i | \(0.660881\pi\) | |||||||
\(284\) | −0.839883 | − | 1.45472i | −0.0498379 | − | 0.0863218i | ||||
\(285\) | 3.23025 | + | 0.147316i | 0.191344 | + | 0.00872624i | ||||
\(286\) | 2.66372 | − | 4.61369i | 0.157509 | − | 0.272813i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −1.73025 | + | 2.45076i | −0.101956 | + | 0.144412i | ||||
\(289\) | −3.05836 | −0.179903 | ||||||||
\(290\) | −2.06654 | + | 3.57935i | −0.121351 | + | 0.210187i | ||||
\(291\) | −8.91381 | − | 17.2047i | −0.522537 | − | 1.00856i | ||||
\(292\) | 6.62062 | + | 11.4673i | 0.387443 | + | 0.671070i | ||||
\(293\) | 4.93560 | + | 8.54871i | 0.288341 | + | 0.499421i | 0.973414 | − | 0.229054i | \(-0.0735631\pi\) |
−0.685073 | + | 0.728474i | \(0.740230\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.96936 | + | 5.14308i | −0.172883 | + | 0.299442i | ||||
\(296\) | 9.10817 | 0.529402 | ||||||||
\(297\) | −11.6257 | + | 14.9697i | −0.674591 | + | 0.868628i | ||||
\(298\) | −9.16225 | −0.530755 | ||||||||
\(299\) | −0.827430 | + | 1.43315i | −0.0478515 | + | 0.0828813i | ||||
\(300\) | −4.46936 | + | 6.98554i | −0.258039 | + | 0.403310i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0.0519482 | + | 0.0899768i | 0.00298928 | + | 0.00517759i | ||||
\(303\) | −10.9605 | − | 21.1550i | −0.629665 | − | 1.21533i | ||||
\(304\) | 2.02704 | − | 3.51094i | 0.116259 | − | 0.201366i | ||||
\(305\) | −5.56440 | −0.318617 | ||||||||
\(306\) | −11.1551 | − | 1.01957i | −0.637692 | − | 0.0582852i | ||||
\(307\) | −7.78794 | −0.444481 | −0.222240 | − | 0.974992i | \(-0.571337\pi\) | ||||
−0.222240 | + | 0.974992i | \(0.571337\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 19.3135 | + | 0.880794i | 1.09871 | + | 0.0501066i | ||||
\(310\) | −0.118485 | − | 0.205223i | −0.00672952 | − | 0.0116559i | ||||
\(311\) | 7.70535 | + | 13.3461i | 0.436930 | + | 0.756785i | 0.997451 | − | 0.0713552i | \(-0.0227324\pi\) |
−0.560521 | + | 0.828140i | \(0.689399\pi\) | |||||||
\(312\) | −2.52704 | − | 0.115246i | −0.143066 | − | 0.00652451i | ||||
\(313\) | 4.24844 | − | 7.35851i | 0.240136 | − | 0.415928i | −0.720617 | − | 0.693334i | \(-0.756141\pi\) |
0.960753 | + | 0.277406i | \(0.0894746\pi\) | |||||||
\(314\) | −20.9823 | −1.18410 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5.00720 | −0.281677 | ||||||||
\(317\) | 7.05262 | − | 12.2155i | 0.396115 | − | 0.686091i | −0.597128 | − | 0.802146i | \(-0.703692\pi\) |
0.993243 | + | 0.116055i | \(0.0370249\pi\) | |||||||
\(318\) | −9.90856 | − | 19.1247i | −0.555644 | − | 1.07246i | ||||
\(319\) | 16.3691 | + | 28.3520i | 0.916491 | + | 1.58741i | ||||
\(320\) | −0.230252 | − | 0.398809i | −0.0128715 | − | 0.0222941i | ||||
\(321\) | 7.26303 | − | 11.3520i | 0.405383 | − | 0.633607i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 15.1373 | 0.842264 | ||||||||
\(324\) | 8.85087 | + | 1.63157i | 0.491715 | + | 0.0906430i | ||||
\(325\) | −6.99280 | −0.387891 | ||||||||
\(326\) | −11.5182 | + | 19.9501i | −0.637933 | + | 1.10493i | ||||
\(327\) | 7.01459 | − | 10.9637i | 0.387908 | − | 0.606294i | ||||
\(328\) | 0.472958 | + | 0.819187i | 0.0261147 | + | 0.0452320i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −1.33842 | − | 2.58331i | −0.0736776 | − | 0.142206i | ||||
\(331\) | −13.7719 | + | 23.8536i | −0.756971 | + | 1.31111i | 0.187417 | + | 0.982280i | \(0.439988\pi\) |
−0.944388 | + | 0.328832i | \(0.893345\pi\) | |||||||
\(332\) | 6.64766 | 0.364838 | ||||||||
\(333\) | −11.4517 | − | 24.8090i | −0.627547 | − | 1.35953i | ||||
\(334\) | −10.6300 | −0.581645 | ||||||||
\(335\) | 0.534239 | − | 0.925330i | 0.0291886 | − | 0.0505562i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.748440 | + | 1.29634i | 0.0407701 | + | 0.0706159i | 0.885690 | − | 0.464276i | \(-0.153686\pi\) |
−0.844920 | + | 0.534892i | \(0.820352\pi\) | |||||||
\(338\) | 5.43346 | + | 9.41103i | 0.295541 | + | 0.511893i | ||||
\(339\) | 10.4875 | + | 0.478285i | 0.569605 | + | 0.0259769i | ||||
\(340\) | 0.859728 | − | 1.48909i | 0.0466253 | − | 0.0807574i | ||||
\(341\) | −1.87705 | −0.101648 | ||||||||
\(342\) | −12.1118 | − | 1.10702i | −0.654929 | − | 0.0598607i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 4.66372 | − | 8.07779i | 0.251451 | − | 0.435525i | ||||
\(345\) | 0.415754 | + | 0.802453i | 0.0223834 | + | 0.0432026i | ||||
\(346\) | 1.46936 | + | 2.54500i | 0.0789932 | + | 0.136820i | ||||
\(347\) | 9.14406 | + | 15.8380i | 0.490879 | + | 0.850228i | 0.999945 | − | 0.0105001i | \(-0.00334233\pi\) |
−0.509066 | + | 0.860728i | \(0.670009\pi\) | |||||||
\(348\) | 8.37792 | − | 13.0946i | 0.449103 | − | 0.701942i | ||||
\(349\) | 3.90136 | − | 6.75735i | 0.208835 | − | 0.361713i | −0.742513 | − | 0.669832i | \(-0.766366\pi\) |
0.951348 | + | 0.308119i | \(0.0996995\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.86333 | + | 7.02811i | 0.152833 | + | 0.375133i | ||||
\(352\) | −3.64766 | −0.194421 | ||||||||
\(353\) | 13.4626 | − | 23.3180i | 0.716544 | − | 1.24109i | −0.245817 | − | 0.969316i | \(-0.579056\pi\) |
0.962361 | − | 0.271774i | \(-0.0876105\pi\) | |||||||
\(354\) | 12.0380 | − | 18.8153i | 0.639814 | − | 1.00002i | ||||
\(355\) | −0.386770 | − | 0.669906i | −0.0205276 | − | 0.0355549i | ||||
\(356\) | 1.36333 | + | 2.36135i | 0.0722562 | + | 0.125151i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −4.58113 | + | 7.93474i | −0.242120 | + | 0.419364i | ||||
\(359\) | 6.26322 | 0.330560 | 0.165280 | − | 0.986247i | \(-0.447147\pi\) | ||||
0.165280 | + | 0.986247i | \(0.447147\pi\) | |||||||
\(360\) | −0.796790 | + | 1.12859i | −0.0419945 | + | 0.0594818i | ||||
\(361\) | −2.56440 | −0.134968 | ||||||||
\(362\) | 11.2142 | − | 19.4236i | 0.589405 | − | 1.02088i | ||||
\(363\) | −3.98901 | − | 0.181919i | −0.209369 | − | 0.00954827i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 3.04883 | + | 5.28073i | 0.159583 | + | 0.276406i | ||||
\(366\) | 20.9071 | + | 0.953469i | 1.09283 | + | 0.0498386i | ||||
\(367\) | 14.6367 | − | 25.3515i | 0.764028 | − | 1.32334i | −0.176731 | − | 0.984259i | \(-0.556552\pi\) |
0.940759 | − | 0.339076i | \(-0.110114\pi\) | |||||||
\(368\) | 1.13307 | 0.0590656 | ||||||||
\(369\) | 1.63667 | − | 2.31821i | 0.0852018 | − | 0.120681i | ||||
\(370\) | 4.19436 | 0.218054 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0.410019 | + | 0.791385i | 0.0212585 | + | 0.0410314i | ||||
\(373\) | −8.92986 | − | 15.4670i | −0.462371 | − | 0.800850i | 0.536708 | − | 0.843768i | \(-0.319668\pi\) |
−0.999079 | + | 0.0429184i | \(0.986334\pi\) | |||||||
\(374\) | −6.80992 | − | 11.7951i | −0.352132 | − | 0.609911i | ||||
\(375\) | −4.20748 | + | 6.57623i | −0.217273 | + | 0.339595i | ||||
\(376\) | 1.16372 | − | 2.01561i | 0.0600140 | − | 0.103947i | ||||
\(377\) | 13.1082 | 0.675105 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −22.4255 | −1.15192 | −0.575960 | − | 0.817478i | \(-0.695371\pi\) | ||||
−0.575960 | + | 0.817478i | \(0.695371\pi\) | |||||||
\(380\) | 0.933463 | − | 1.61680i | 0.0478856 | − | 0.0829403i | ||||
\(381\) | 8.22373 | − | 12.8536i | 0.421314 | − | 0.658508i | ||||
\(382\) | −1.24484 | − | 2.15613i | −0.0636916 | − | 0.110317i | ||||
\(383\) | −7.07014 | − | 12.2458i | −0.361267 | − | 0.625733i | 0.626903 | − | 0.779098i | \(-0.284322\pi\) |
−0.988170 | + | 0.153365i | \(0.950989\pi\) | |||||||
\(384\) | 0.796790 | + | 1.53790i | 0.0406610 | + | 0.0784805i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 4.48968 | 0.228519 | ||||||||
\(387\) | −27.8661 | − | 2.54697i | −1.41652 | − | 0.129470i | ||||
\(388\) | −11.1872 | −0.567942 | ||||||||
\(389\) | 11.5651 | − | 20.0313i | 0.586373 | − | 1.01563i | −0.408330 | − | 0.912834i | \(-0.633889\pi\) |
0.994703 | − | 0.102793i | \(-0.0327779\pi\) | |||||||
\(390\) | −1.16372 | − | 0.0530713i | −0.0589270 | − | 0.00268737i | ||||
\(391\) | 2.11537 | + | 3.66392i | 0.106979 | + | 0.185292i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 36.5729 | + | 1.66791i | 1.84486 | + | 0.0841350i | ||||
\(394\) | −6.36693 | + | 11.0278i | −0.320761 | + | 0.555574i | ||||
\(395\) | −2.30584 | −0.116019 | ||||||||
\(396\) | 4.58619 | + | 9.93559i | 0.230465 | + | 0.499282i | ||||
\(397\) | −10.2661 | −0.515243 | −0.257622 | − | 0.966246i | \(-0.582939\pi\) | ||||
−0.257622 | + | 0.966246i | \(0.582939\pi\) | |||||||
\(398\) | 1.47296 | − | 2.55124i | 0.0738327 | − | 0.127882i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.39397 | + | 4.14647i | 0.119698 | + | 0.207324i | ||||
\(401\) | −17.0167 | − | 29.4738i | −0.849775 | − | 1.47185i | −0.881409 | − | 0.472353i | \(-0.843405\pi\) |
0.0316345 | − | 0.999500i | \(-0.489929\pi\) | |||||||
\(402\) | −2.16585 | + | 3.38519i | −0.108023 | + | 0.168838i | ||||
\(403\) | −0.375780 | + | 0.650870i | −0.0187189 | + | 0.0324221i | ||||
\(404\) | −13.7558 | −0.684378 | ||||||||
\(405\) | 4.07587 | + | 0.751347i | 0.202532 | + | 0.0373348i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 16.6118 | − | 28.7724i | 0.823415 | − | 1.42620i | ||||
\(408\) | −3.48541 | + | 5.44765i | −0.172554 | + | 0.269699i | ||||
\(409\) | −1.74484 | − | 3.02215i | −0.0862769 | − | 0.149436i | 0.819658 | − | 0.572854i | \(-0.194164\pi\) |
−0.905935 | + | 0.423418i | \(0.860830\pi\) | |||||||
\(410\) | 0.217799 | + | 0.377240i | 0.0107563 | + | 0.0186305i | ||||
\(411\) | −3.51099 | − | 6.77662i | −0.173184 | − | 0.334266i | ||||
\(412\) | 5.58113 | − | 9.66679i | 0.274962 | − | 0.476249i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −1.42461 | − | 3.08629i | −0.0700157 | − | 0.151683i | ||||
\(415\) | 3.06128 | 0.150272 | ||||||||
\(416\) | −0.730252 | + | 1.26483i | −0.0358036 | + | 0.0620136i | ||||
\(417\) | 3.50360 | + | 0.159782i | 0.171572 | + | 0.00782455i | ||||
\(418\) | −7.39397 | − | 12.8067i | −0.361651 | − | 0.626398i | ||||
\(419\) | −14.4897 | − | 25.0969i | −0.707867 | − | 1.22606i | −0.965647 | − | 0.259858i | \(-0.916324\pi\) |
0.257779 | − | 0.966204i | \(-0.417009\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.06128 | + | 1.83819i | −0.0517237 | + | 0.0895881i | −0.890728 | − | 0.454537i | \(-0.849805\pi\) |
0.839004 | + | 0.544125i | \(0.183138\pi\) | |||||||
\(422\) | 1.21634 | 0.0592104 | ||||||||
\(423\) | −6.95331 | − | 0.635534i | −0.338081 | − | 0.0309007i | ||||
\(424\) | −12.4356 | −0.603926 | ||||||||
\(425\) | −8.93872 | + | 15.4823i | −0.433592 | + | 0.751003i | ||||
\(426\) | 1.33842 | + | 2.58331i | 0.0648467 | + | 0.125162i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −3.89037 | − | 6.73832i | −0.188048 | − | 0.325709i | ||||
\(429\) | −4.97296 | + | 7.77266i | −0.240097 | + | 0.375268i | ||||
\(430\) | 2.14766 | − | 3.71986i | 0.103570 | − | 0.179388i | ||||
\(431\) | −21.8712 | −1.05350 | −0.526749 | − | 0.850021i | \(-0.676589\pi\) | ||||
−0.526749 | + | 0.850021i | \(0.676589\pi\) | |||||||
\(432\) | 3.18716 | − | 4.10390i | 0.153342 | − | 0.197449i | ||||
\(433\) | 13.0512 | 0.627199 | 0.313599 | − | 0.949555i | \(-0.398465\pi\) | ||||
0.313599 | + | 0.949555i | \(0.398465\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 3.85807 | − | 6.03011i | 0.184980 | − | 0.289122i | ||||
\(436\) | −3.75729 | − | 6.50783i | −0.179942 | − | 0.311668i | ||||
\(437\) | 2.29679 | + | 3.97816i | 0.109870 | + | 0.190301i | ||||
\(438\) | −10.5505 | − | 20.3637i | −0.504122 | − | 0.973013i | ||||
\(439\) | 2.43200 | − | 4.21235i | 0.116073 | − | 0.201044i | −0.802135 | − | 0.597143i | \(-0.796303\pi\) |
0.918208 | + | 0.396098i | \(0.129636\pi\) | |||||||
\(440\) | −1.67977 | −0.0800797 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −5.45331 | −0.259387 | ||||||||
\(443\) | 5.76975 | − | 9.99350i | 0.274129 | − | 0.474805i | −0.695786 | − | 0.718249i | \(-0.744944\pi\) |
0.969915 | + | 0.243444i | \(0.0782771\pi\) | |||||||
\(444\) | −15.7594 | − | 0.718710i | −0.747909 | − | 0.0341084i | ||||
\(445\) | 0.627819 | + | 1.08741i | 0.0297615 | + | 0.0515484i | ||||
\(446\) | 0.445916 | + | 0.772349i | 0.0211147 | + | 0.0365718i | ||||
\(447\) | 15.8530 | + | 0.722977i | 0.749822 | + | 0.0341957i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −26.4251 | −1.24708 | −0.623538 | − | 0.781793i | \(-0.714306\pi\) | ||||
−0.623538 | + | 0.781793i | \(0.714306\pi\) | |||||||
\(450\) | 8.28434 | − | 11.7341i | 0.390527 | − | 0.553150i | ||||
\(451\) | 3.45038 | 0.162472 | ||||||||
\(452\) | 3.03064 | − | 5.24922i | 0.142549 | − | 0.246903i | ||||
\(453\) | −0.0827835 | − | 0.159782i | −0.00388951 | − | 0.00750720i | ||||
\(454\) | −7.32597 | − | 12.6889i | −0.343825 | − | 0.595522i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −3.78434 | + | 5.91486i | −0.177218 | + | 0.276989i | ||||
\(457\) | 1.86906 | − | 3.23731i | 0.0874310 | − | 0.151435i | −0.818994 | − | 0.573803i | \(-0.805468\pi\) |
0.906425 | + | 0.422368i | \(0.138801\pi\) | |||||||
\(458\) | 9.57587 | 0.447451 | ||||||||
\(459\) | 19.2206 | + | 2.64435i | 0.897141 | + | 0.123428i | ||||
\(460\) | 0.521786 | 0.0243284 | ||||||||
\(461\) | 7.90496 | − | 13.6918i | 0.368171 | − | 0.637690i | −0.621109 | − | 0.783724i | \(-0.713318\pi\) |
0.989280 | + | 0.146034i | \(0.0466509\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 19.1965 | + | 33.2493i | 0.892137 | + | 1.54523i | 0.837309 | + | 0.546730i | \(0.184128\pi\) |
0.0548278 | + | 0.998496i | \(0.482539\pi\) | |||||||
\(464\) | −4.48755 | − | 7.77266i | −0.208329 | − | 0.360837i | ||||
\(465\) | 0.188816 | + | 0.364437i | 0.00875613 | + | 0.0169003i | ||||
\(466\) | 7.21420 | − | 12.4954i | 0.334191 | − | 0.578836i | ||||
\(467\) | 6.31304 | 0.292132 | 0.146066 | − | 0.989275i | \(-0.453339\pi\) | ||||
0.146066 | + | 0.989275i | \(0.453339\pi\) | |||||||
\(468\) | 4.36333 | + | 0.398809i | 0.201695 | + | 0.0184349i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0.535897 | − | 0.928200i | 0.0247191 | − | 0.0428147i | ||||
\(471\) | 36.3047 | + | 1.65568i | 1.67283 | + | 0.0762895i | ||||
\(472\) | −6.44805 | − | 11.1684i | −0.296796 | − | 0.514065i | ||||
\(473\) | −17.0117 | − | 29.4651i | −0.782197 | − | 1.35481i | ||||
\(474\) | 8.66372 | + | 0.395109i | 0.397938 | + | 0.0181480i | ||||
\(475\) | −9.70535 | + | 16.8102i | −0.445312 | + | 0.771303i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 15.6352 | + | 33.8724i | 0.715887 | + | 1.55091i | ||||
\(478\) | 18.3097 | 0.837467 | ||||||||
\(479\) | −10.2068 | + | 17.6787i | −0.466361 | + | 0.807761i | −0.999262 | − | 0.0384168i | \(-0.987769\pi\) |
0.532901 | + | 0.846178i | \(0.321102\pi\) | |||||||
\(480\) | 0.366926 | + | 0.708209i | 0.0167478 | + | 0.0323252i | ||||
\(481\) | −6.65126 | − | 11.5203i | −0.303271 | − | 0.525282i | ||||
\(482\) | 0.0466924 | + | 0.0808735i | 0.00212678 | + | 0.00368369i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1.15272 | + | 1.99658i | −0.0523966 | + | 0.0907535i | ||||
\(485\) | −5.15174 | −0.233929 | ||||||||
\(486\) | −15.1855 | − | 3.52144i | −0.688828 | − | 0.159736i | ||||
\(487\) | −12.3638 | −0.560258 | −0.280129 | − | 0.959962i | \(-0.590377\pi\) | ||||
−0.280129 | + | 0.959962i | \(0.590377\pi\) | |||||||
\(488\) | 6.04163 | − | 10.4644i | 0.273492 | − | 0.473702i | ||||
\(489\) | 21.5036 | − | 33.6098i | 0.972426 | − | 1.51989i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 0.207004 | + | 0.358541i | 0.00934194 | + | 0.0161807i | 0.870659 | − | 0.491888i | \(-0.163693\pi\) |
−0.861317 | + | 0.508069i | \(0.830360\pi\) | |||||||
\(492\) | −0.753696 | − | 1.45472i | −0.0339792 | − | 0.0655839i | ||||
\(493\) | 16.7558 | − | 29.0220i | 0.754645 | − | 1.30708i | ||||
\(494\) | −5.92101 | −0.266399 | ||||||||
\(495\) | 2.11196 | + | 4.57539i | 0.0949256 | + | 0.205648i | ||||
\(496\) | 0.514589 | 0.0231057 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −11.5021 | − | 0.524555i | −0.515423 | − | 0.0235059i | ||||
\(499\) | 0.461967 | + | 0.800151i | 0.0206805 | + | 0.0358197i | 0.876180 | − | 0.481983i | \(-0.160083\pi\) |
−0.855500 | + | 0.517803i | \(0.826750\pi\) | |||||||
\(500\) | 2.25370 | + | 3.90352i | 0.100788 | + | 0.174571i | ||||
\(501\) | 18.3925 | + | 0.838791i | 0.821717 | + | 0.0374744i | ||||
\(502\) | −9.13667 | + | 15.8252i | −0.407790 | + | 0.706312i | ||||
\(503\) | 23.8142 | 1.06182 | 0.530911 | − | 0.847428i | \(-0.321850\pi\) | ||||
0.530911 | + | 0.847428i | \(0.321850\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −6.33463 | −0.281887 | ||||||||
\(506\) | 2.06654 | − | 3.57935i | 0.0918688 | − | 0.159121i | ||||
\(507\) | −8.65865 | − | 16.7122i | −0.384544 | − | 0.742215i | ||||
\(508\) | −4.40496 | − | 7.62961i | −0.195438 | − | 0.338509i | ||||
\(509\) | −15.3171 | − | 26.5300i | −0.678919 | − | 1.17592i | −0.975307 | − | 0.220855i | \(-0.929115\pi\) |
0.296388 | − | 0.955068i | \(-0.404218\pi\) | |||||||
\(510\) | −1.60505 | + | 2.50867i | −0.0710728 | + | 0.111086i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 20.8691 | + | 2.87114i | 0.921392 | + | 0.126764i | ||||
\(514\) | 21.0512 | 0.928527 | ||||||||
\(515\) | 2.57014 | − | 4.45161i | 0.113254 | − | 0.196161i | ||||
\(516\) | −8.70681 | + | 13.6086i | −0.383296 | + | 0.599086i | ||||
\(517\) | −4.24484 | − | 7.35228i | −0.186688 | − | 0.323353i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −2.34154 | − | 4.51945i | −0.102782 | − | 0.198382i | ||||
\(520\) | −0.336285 | + | 0.582462i | −0.0147471 | + | 0.0255427i | ||||
\(521\) | −26.9037 | −1.17867 | −0.589336 | − | 0.807888i | \(-0.700611\pi\) | ||||
−0.589336 | + | 0.807888i | \(0.700611\pi\) | |||||||
\(522\) | −15.5292 | + | 21.9958i | −0.679694 | + | 0.962730i | ||||
\(523\) | −15.7060 | −0.686776 | −0.343388 | − | 0.939194i | \(-0.611575\pi\) | ||||
−0.343388 | + | 0.939194i | \(0.611575\pi\) | |||||||
\(524\) | 10.5687 | − | 18.3055i | 0.461695 | − | 0.799679i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2.58259 | + | 4.47318i | 0.112606 | + | 0.195040i | ||||
\(527\) | 0.960699 | + | 1.66398i | 0.0418487 | + | 0.0724841i | ||||
\(528\) | 6.31138 | + | 0.287831i | 0.274668 | + | 0.0125262i | ||||
\(529\) | 10.8581 | − | 18.8067i | 0.472090 | − | 0.817684i | ||||
\(530\) | −5.72665 | −0.248750 | ||||||||
\(531\) | −22.3135 | + | 31.6053i | −0.968324 | + | 1.37155i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0.690757 | − | 1.19643i | 0.0299200 | − | 0.0518230i | ||||
\(534\) | −2.17257 | − | 4.19331i | −0.0940163 | − | 0.181462i | ||||
\(535\) | −1.79153 | − | 3.10303i | −0.0774548 | − | 0.134156i | ||||
\(536\) | 1.16012 | + | 2.00938i | 0.0501094 | + | 0.0867920i | ||||
\(537\) | 8.55262 | − | 13.3676i | 0.369073 | − | 0.576855i | ||||
\(538\) | −8.42840 | + | 14.5984i | −0.363374 | + | 0.629383i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 1.46770 | − | 1.88987i | 0.0631598 | − | 0.0813269i | ||||
\(541\) | 4.11868 | 0.177076 | 0.0885379 | − | 0.996073i | \(-0.471781\pi\) | ||||
0.0885379 | + | 0.996073i | \(0.471781\pi\) | |||||||
\(542\) | −12.5562 | + | 21.7480i | −0.539336 | + | 0.934157i | ||||
\(543\) | −20.9361 | + | 32.7228i | −0.898453 | + | 1.40427i | ||||
\(544\) | 1.86693 | + | 3.23361i | 0.0800438 | + | 0.138640i | ||||
\(545\) | −1.73025 | − | 2.99689i | −0.0741159 | − | 0.128372i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −11.8602 | + | 20.5425i | −0.507106 | + | 0.878333i | 0.492860 | + | 0.870108i | \(0.335951\pi\) |
−0.999966 | + | 0.00822465i | \(0.997382\pi\) | |||||||
\(548\) | −4.40642 | −0.188233 | ||||||||
\(549\) | −36.0993 | − | 3.29948i | −1.54068 | − | 0.140819i | ||||
\(550\) | 17.4648 | 0.744701 | ||||||||
\(551\) | 18.1929 | − | 31.5110i | 0.775043 | − | 1.34241i | ||||
\(552\) | −1.96050 | − | 0.0894089i | −0.0834446 | − | 0.00380550i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −1.69076 | − | 2.92848i | −0.0718334 | − | 0.124419i | ||||
\(555\) | −7.25729 | − | 0.330969i | −0.308055 | − | 0.0140489i | ||||
\(556\) | 1.01245 | − | 1.75362i | 0.0429376 | − | 0.0743701i | ||||
\(557\) | 42.0626 | 1.78225 | 0.891125 | − | 0.453757i | \(-0.149917\pi\) | ||||
0.891125 | + | 0.453757i | \(0.149917\pi\) | |||||||
\(558\) | −0.646990 | − | 1.40165i | −0.0273893 | − | 0.0593366i | ||||
\(559\) | −13.6228 | −0.576181 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 10.8521 | + | 20.9459i | 0.458178 | + | 0.884336i | ||||
\(562\) | −10.1388 | − | 17.5609i | −0.427680 | − | 0.740763i | ||||
\(563\) | 5.91216 | + | 10.2402i | 0.249168 | + | 0.431571i | 0.963295 | − | 0.268445i | \(-0.0865097\pi\) |
−0.714127 | + | 0.700016i | \(0.753176\pi\) | |||||||
\(564\) | −2.17257 | + | 3.39569i | −0.0914817 | + | 0.142985i | ||||
\(565\) | 1.39562 | − | 2.41729i | 0.0587144 | − | 0.101696i | ||||
\(566\) | −17.3494 | −0.729250 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.67977 | 0.0704815 | ||||||||
\(569\) | −7.10078 | + | 12.2989i | −0.297680 | + | 0.515597i | −0.975605 | − | 0.219534i | \(-0.929546\pi\) |
0.677925 | + | 0.735131i | \(0.262880\pi\) | |||||||
\(570\) | −1.74271 | + | 2.72382i | −0.0729939 | + | 0.114088i | ||||
\(571\) | −5.97869 | − | 10.3554i | −0.250200 | − | 0.433360i | 0.713380 | − | 0.700777i | \(-0.247163\pi\) |
−0.963581 | + | 0.267417i | \(0.913830\pi\) | |||||||
\(572\) | 2.66372 | + | 4.61369i | 0.111376 | + | 0.192908i | ||||
\(573\) | 1.98375 | + | 3.82888i | 0.0828725 | + | 0.159954i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −5.42509 | −0.226242 | ||||||||
\(576\) | −1.25729 | − | 2.72382i | −0.0523873 | − | 0.113493i | ||||
\(577\) | 42.6270 | 1.77459 | 0.887293 | − | 0.461206i | \(-0.152583\pi\) | ||||
0.887293 | + | 0.461206i | \(0.152583\pi\) | |||||||
\(578\) | 1.52918 | − | 2.64861i | 0.0636054 | − | 0.110168i | ||||
\(579\) | −7.76829 | − | 0.354273i | −0.322839 | − | 0.0147231i | ||||
\(580\) | −2.06654 | − | 3.57935i | −0.0858083 | − | 0.148624i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 19.3566 | + | 0.882759i | 0.802357 | + | 0.0365915i | ||||
\(583\) | −22.6804 | + | 39.2837i | −0.939328 | + | 1.62696i | ||||
\(584\) | −13.2412 | −0.547927 | ||||||||
\(585\) | 2.00933 | + | 0.183653i | 0.0830757 | + | 0.00759314i | ||||
\(586\) | −9.87120 | −0.407775 | ||||||||
\(587\) | −20.5328 | + | 35.5638i | −0.847478 | + | 1.46788i | 0.0359730 | + | 0.999353i | \(0.488547\pi\) |
−0.883451 | + | 0.468523i | \(0.844786\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.04309 | + | 1.80669i | 0.0429799 | + | 0.0744434i | ||||
\(590\) | −2.96936 | − | 5.14308i | −0.122247 | − | 0.211737i | ||||
\(591\) | 11.8866 | − | 18.5785i | 0.488948 | − | 0.764219i | ||||
\(592\) | −4.55408 | + | 7.88791i | −0.187172 | + | 0.324191i | ||||
\(593\) | 32.2016 | 1.32236 | 0.661180 | − | 0.750228i | \(-0.270056\pi\) | ||||
0.661180 | + | 0.750228i | \(0.270056\pi\) | |||||||
\(594\) | −7.15126 | − | 17.5530i | −0.293420 | − | 0.720207i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 4.58113 | − | 7.93474i | 0.187650 | − | 0.325020i | ||||
\(597\) | −2.74990 | + | 4.29806i | −0.112546 | + | 0.175908i | ||||
\(598\) | −0.827430 | − | 1.43315i | −0.0338361 | − | 0.0586059i | ||||
\(599\) | −9.53590 | − | 16.5167i | −0.389626 | − | 0.674852i | 0.602773 | − | 0.797913i | \(-0.294062\pi\) |
−0.992399 | + | 0.123060i | \(0.960729\pi\) | |||||||
\(600\) | −3.81498 | − | 7.36335i | −0.155746 | − | 0.300607i | ||||
\(601\) | −4.27188 | + | 7.39912i | −0.174254 | + | 0.301816i | −0.939903 | − | 0.341442i | \(-0.889085\pi\) |
0.765649 | + | 0.643259i | \(0.222418\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 4.01459 | − | 5.68634i | 0.163487 | − | 0.231565i | ||||
\(604\) | −0.103896 | −0.00422748 | ||||||||
\(605\) | −0.530835 | + | 0.919434i | −0.0215815 | + | 0.0373803i | ||||
\(606\) | 23.8011 | + | 1.08545i | 0.966852 | + | 0.0440933i | ||||
\(607\) | 19.0057 | + | 32.9189i | 0.771419 | + | 1.33614i | 0.936785 | + | 0.349905i | \(0.113786\pi\) |
−0.165366 | + | 0.986232i | \(0.552881\pi\) | |||||||
\(608\) | 2.02704 | + | 3.51094i | 0.0822074 | + | 0.142387i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.78220 | − | 4.81891i | 0.112648 | − | 0.195112i | ||||
\(611\) | −3.39922 | −0.137518 | ||||||||
\(612\) | 6.46050 | − | 9.15077i | 0.261150 | − | 0.369898i | ||||
\(613\) | −22.6591 | −0.915194 | −0.457597 | − | 0.889160i | \(-0.651290\pi\) | ||||
−0.457597 | + | 0.889160i | \(0.651290\pi\) | |||||||
\(614\) | 3.89397 | − | 6.74455i | 0.157148 | − | 0.272188i | ||||
\(615\) | −0.347081 | − | 0.669906i | −0.0139956 | − | 0.0270132i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −10.1388 | − | 17.5609i | −0.408173 | − | 0.706977i | 0.586512 | − | 0.809941i | \(-0.300501\pi\) |
−0.994685 | + | 0.102964i | \(0.967167\pi\) | |||||||
\(618\) | −10.4195 | + | 16.2856i | −0.419136 | + | 0.655103i | ||||
\(619\) | 1.03064 | − | 1.78512i | 0.0414249 | − | 0.0717501i | −0.844570 | − | 0.535446i | \(-0.820144\pi\) |
0.885994 | + | 0.463696i | \(0.153477\pi\) | |||||||
\(620\) | 0.236971 | 0.00951698 | ||||||||
\(621\) | 2.22140 | + | 5.45248i | 0.0891416 | + | 0.218801i | ||||
\(622\) | −15.4107 | −0.617912 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 1.36333 | − | 2.13086i | 0.0545768 | − | 0.0853027i | ||||
\(625\) | −10.9320 | − | 18.9348i | −0.437280 | − | 0.757391i | ||||
\(626\) | 4.24844 | + | 7.35851i | 0.169802 | + | 0.294105i | ||||
\(627\) | 11.7829 | + | 22.7423i | 0.470563 | + | 0.908241i | ||||
\(628\) | 10.4911 | − | 18.1712i | 0.418642 | − | 0.725110i | ||||
\(629\) | −34.0085 | −1.35601 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1.63715 | 0.0651740 | 0.0325870 | − | 0.999469i | \(-0.489625\pi\) | ||||
0.0325870 | + | 0.999469i | \(0.489625\pi\) | |||||||
\(632\) | 2.50360 | − | 4.33636i | 0.0995878 | − | 0.172491i | ||||
\(633\) | −2.10457 | − | 0.0959790i | −0.0836491 | − | 0.00381482i | ||||
\(634\) | 7.05262 | + | 12.2155i | 0.280095 | + | 0.485139i | ||||
\(635\) | −2.02850 | − | 3.51347i | −0.0804988 | − | 0.139428i | ||||
\(636\) | 21.5167 | + | 0.981271i | 0.853194 | + | 0.0389099i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −32.7381 | −1.29611 | ||||||||
\(639\) | −2.11196 | − | 4.57539i | −0.0835479 | − | 0.181000i | ||||
\(640\) | 0.460505 | 0.0182031 | ||||||||
\(641\) | −10.9662 | + | 18.9941i | −0.433140 | + | 0.750221i | −0.997142 | − | 0.0755526i | \(-0.975928\pi\) |
0.564001 | + | 0.825774i | \(0.309261\pi\) | |||||||
\(642\) | 6.19961 | + | 11.9660i | 0.244679 | + | 0.472259i | ||||
\(643\) | 14.1819 | + | 24.5638i | 0.559280 | + | 0.968701i | 0.997557 | + | 0.0698609i | \(0.0222555\pi\) |
−0.438277 | + | 0.898840i | \(0.644411\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −4.00953 | + | 6.26683i | −0.157875 | + | 0.246756i | ||||
\(646\) | −7.56867 | + | 13.1093i | −0.297785 | + | 0.515780i | ||||
\(647\) | 34.7807 | 1.36737 | 0.683686 | − | 0.729776i | \(-0.260376\pi\) | ||||
0.683686 | + | 0.729776i | \(0.260376\pi\) | |||||||
\(648\) | −5.83842 | + | 6.84929i | −0.229355 | + | 0.269066i | ||||
\(649\) | −47.0406 | −1.84651 | ||||||||
\(650\) | 3.49640 | − | 6.05594i | 0.137140 | − | 0.237534i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −11.5182 | − | 19.9501i | −0.451087 | − | 0.781306i | ||||
\(653\) | 1.59931 | + | 2.77009i | 0.0625860 | + | 0.108402i | 0.895621 | − | 0.444819i | \(-0.146732\pi\) |
−0.833035 | + | 0.553221i | \(0.813399\pi\) | |||||||
\(654\) | 5.98755 | + | 11.5567i | 0.234132 | + | 0.451901i | ||||
\(655\) | 4.86693 | − | 8.42976i | 0.190167 | − | 0.329378i | ||||
\(656\) | −0.945916 | −0.0369318 | ||||||||
\(657\) | 16.6481 | + | 36.0668i | 0.649506 | + | 1.40710i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 5.30418 | − | 9.18711i | 0.206622 | − | 0.357879i | −0.744027 | − | 0.668150i | \(-0.767086\pi\) |
0.950648 | + | 0.310271i | \(0.100420\pi\) | |||||||
\(660\) | 2.90642 | + | 0.132547i | 0.113132 | + | 0.00515940i | ||||
\(661\) | 5.06507 | + | 8.77297i | 0.197009 | + | 0.341229i | 0.947557 | − | 0.319586i | \(-0.103544\pi\) |
−0.750549 | + | 0.660815i | \(0.770211\pi\) | |||||||
\(662\) | −13.7719 | − | 23.8536i | −0.535259 | − | 0.927097i | ||||
\(663\) | 9.43560 | + | 0.430311i | 0.366448 | + | 0.0167119i | ||||
\(664\) | −3.32383 | + | 5.75705i | −0.128990 | + | 0.223417i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 27.2111 | + | 2.48710i | 1.05441 | + | 0.0963731i | ||||
\(667\) | 10.1694 | 0.393763 | ||||||||
\(668\) | 5.31498 | − | 9.20581i | 0.205643 | − | 0.356184i | ||||
\(669\) | −0.710602 | − | 1.37154i | −0.0274735 | − | 0.0530270i | ||||
\(670\) | 0.534239 | + | 0.925330i | 0.0206395 | + | 0.0357486i | ||||
\(671\) | −22.0378 | − | 38.1707i | −0.850761 | − | 1.47356i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1.60817 | − | 2.78543i | 0.0619903 | − | 0.107370i | −0.833365 | − | 0.552724i | \(-0.813589\pi\) |
0.895355 | + | 0.445353i | \(0.146922\pi\) | |||||||
\(674\) | −1.49688 | −0.0576577 | ||||||||
\(675\) | −15.2599 | + | 19.6492i | −0.587354 | + | 0.756299i | ||||
\(676\) | −10.8669 | −0.417959 | ||||||||
\(677\) | −14.6819 | + | 25.4298i | −0.564271 | + | 0.977347i | 0.432846 | + | 0.901468i | \(0.357509\pi\) |
−0.997117 | + | 0.0758786i | \(0.975824\pi\) | |||||||
\(678\) | −5.65798 | + | 8.84334i | −0.217293 | + | 0.339626i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0.859728 | + | 1.48909i | 0.0329691 | + | 0.0571041i | ||||
\(681\) | 11.6745 | + | 22.5332i | 0.447368 | + | 0.863473i | ||||
\(682\) | 0.938524 | − | 1.62557i | 0.0359379 | − | 0.0622463i | ||||
\(683\) | −25.2556 | −0.966380 | −0.483190 | − | 0.875515i | \(-0.660522\pi\) | ||||
−0.483190 | + | 0.875515i | \(0.660522\pi\) | |||||||
\(684\) | 7.01459 | − | 9.93559i | 0.268210 | − | 0.379897i | ||||
\(685\) | −2.02918 | −0.0775309 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −16.5687 | − | 0.755615i | −0.632134 | − | 0.0288285i | ||||
\(688\) | 4.66372 | + | 8.07779i | 0.177802 | + | 0.307963i | ||||
\(689\) | 9.08113 | + | 15.7290i | 0.345963 | + | 0.599226i | ||||
\(690\) | −0.902822 | − | 0.0411732i | −0.0343698 | − | 0.00156744i | ||||
\(691\) | −7.68190 | + | 13.3054i | −0.292233 | + | 0.506163i | −0.974338 | − | 0.225092i | \(-0.927732\pi\) |
0.682104 | + | 0.731255i | \(0.261065\pi\) | |||||||
\(692\) | −2.93872 | −0.111713 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −18.2881 | −0.694208 | ||||||||
\(695\) | 0.466240 | − | 0.807551i | 0.0176855 | − | 0.0306321i | ||||
\(696\) | 7.15126 | + | 13.8028i | 0.271068 | + | 0.523193i | ||||
\(697\) | −1.76595 | − | 3.05872i | −0.0668903 | − | 0.115857i | ||||
\(698\) | 3.90136 | + | 6.75735i | 0.147669 | + | 0.255770i | ||||
\(699\) | −13.4684 | + | 21.0509i | −0.509421 | + | 0.796217i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −13.3700 | −0.504980 | −0.252490 | − | 0.967600i | \(-0.581249\pi\) | ||||
−0.252490 | + | 0.967600i | \(0.581249\pi\) | |||||||
\(702\) | −7.51819 | − | 1.03434i | −0.283756 | − | 0.0390387i | ||||
\(703\) | −36.9253 | −1.39266 | ||||||||
\(704\) | 1.82383 | − | 3.15897i | 0.0687382 | − | 0.119058i | ||||
\(705\) | −1.00048 | + | 1.56373i | −0.0376802 | + | 0.0588936i | ||||
\(706\) | 13.4626 | + | 23.3180i | 0.506673 | + | 0.877584i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 10.2755 | + | 19.8329i | 0.386176 | + | 0.745365i | ||||
\(709\) | 0.562939 | − | 0.975038i | 0.0211416 | − | 0.0366183i | −0.855261 | − | 0.518197i | \(-0.826603\pi\) |
0.876403 | + | 0.481579i | \(0.159937\pi\) | |||||||
\(710\) | 0.773541 | 0.0290305 | ||||||||
\(711\) | −14.9592 | − | 1.36728i | −0.561015 | − | 0.0512769i | ||||
\(712\) | −2.72665 | −0.102186 | ||||||||
\(713\) | −0.291534 | + | 0.504951i | −0.0109180 | + | 0.0189106i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.22665 | + | 2.12463i | 0.0458743 | + | 0.0794565i | ||||
\(716\) | −4.58113 | − | 7.93474i | −0.171205 | − | 0.296535i | ||||
\(717\) | −31.6804 | − | 1.44479i | −1.18313 | − | 0.0539566i | ||||
\(718\) | −3.13161 | + | 5.42411i | −0.116871 | + | 0.202426i | ||||
\(719\) | 18.2733 | 0.681481 | 0.340740 | − | 0.940157i | \(-0.389322\pi\) | ||||
0.340740 | + | 0.940157i | \(0.389322\pi\) | |||||||
\(720\) | −0.578990 | − | 1.25433i | −0.0215777 | − | 0.0467463i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 1.28220 | − | 2.22084i | 0.0477186 | − | 0.0826510i | ||||
\(723\) | −0.0744080 | − | 0.143616i | −0.00276726 | − | 0.00534114i | ||||
\(724\) | 11.2142 | + | 19.4236i | 0.416772 | + | 0.721871i | ||||
\(725\) | 21.4861 | + | 37.2150i | 0.797973 | + | 1.38213i | ||||
\(726\) | 2.15205 | − | 3.36362i | 0.0798701 | − | 0.124836i | ||||
\(727\) | 14.8478 | − | 25.7171i | 0.550673 | − | 0.953793i | −0.447553 | − | 0.894257i | \(-0.647705\pi\) |
0.998226 | − | 0.0595359i | \(-0.0189621\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 25.9969 | + | 7.29124i | 0.962847 | + | 0.270046i | ||||
\(730\) | −6.09766 | −0.225684 | ||||||||
\(731\) | −17.4136 | + | 30.1613i | −0.644066 | + | 1.11555i | ||||
\(732\) | −11.2793 | + | 17.6293i | −0.416894 | + | 0.651599i | ||||
\(733\) | 9.61390 | + | 16.6518i | 0.355098 | + | 0.615047i | 0.987135 | − | 0.159891i | \(-0.0511143\pi\) |
−0.632037 | + | 0.774938i | \(0.717781\pi\) | |||||||
\(734\) | 14.6367 | + | 25.3515i | 0.540249 | + | 0.935740i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.566537 | + | 0.981271i | −0.0208828 | + | 0.0361701i | ||||
\(737\) | 8.46343 | 0.311754 | ||||||||
\(738\) | 1.18929 | + | 2.57651i | 0.0437785 | + | 0.0948425i | ||||
\(739\) | 30.2671 | 1.11339 | 0.556697 | − | 0.830716i | \(-0.312069\pi\) | ||||
0.556697 | + | 0.830716i | \(0.312069\pi\) | |||||||
\(740\) | −2.09718 | + | 3.63242i | −0.0770938 | + | 0.133530i | ||||
\(741\) | 10.2448 | + | 0.467216i | 0.376354 | + | 0.0171636i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −11.8815 | − | 20.5794i | −0.435890 | − | 0.754984i | 0.561477 | − | 0.827492i | \(-0.310233\pi\) |
−0.997368 | + | 0.0725076i | \(0.976900\pi\) | |||||||
\(744\) | −0.890369 | − | 0.0406053i | −0.0326425 | − | 0.00148866i | ||||
\(745\) | 2.10963 | − | 3.65399i | 0.0772909 | − | 0.133872i | ||||
\(746\) | 17.8597 | 0.653891 | ||||||||
\(747\) | 19.8602 | + | 1.81523i | 0.726647 | + | 0.0664157i | ||||
\(748\) | 13.6198 | 0.497990 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −3.59144 | − | 6.93190i | −0.131141 | − | 0.253117i | ||||
\(751\) | −6.33415 | − | 10.9711i | −0.231136 | − | 0.400340i | 0.727006 | − | 0.686631i | \(-0.240911\pi\) |
−0.958143 | + | 0.286291i | \(0.907578\pi\) | |||||||
\(752\) | 1.16372 | + | 2.01561i | 0.0424363 | + | 0.0735019i | ||||
\(753\) | 17.0575 | − | 26.6606i | 0.621609 | − | 0.971566i | ||||
\(754\) | −6.55408 | + | 11.3520i | −0.238686 | + | 0.413416i | ||||
\(755\) | −0.0478448 | −0.00174125 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −29.0799 | −1.05693 | −0.528464 | − | 0.848955i | \(-0.677232\pi\) | ||||
−0.528464 | + | 0.848955i | \(0.677232\pi\) | |||||||
\(758\) | 11.2127 | − | 19.4210i | 0.407265 | − | 0.705404i | ||||
\(759\) | −3.85807 | + | 6.03011i | −0.140039 | + | 0.218879i | ||||
\(760\) | 0.933463 | + | 1.61680i | 0.0338603 | + | 0.0586477i | ||||
\(761\) | 14.6015 | + | 25.2905i | 0.529302 | + | 0.916778i | 0.999416 | + | 0.0341724i | \(0.0108795\pi\) |
−0.470114 | + | 0.882606i | \(0.655787\pi\) | |||||||
\(762\) | 7.01965 | + | 13.5487i | 0.254295 | + | 0.490819i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 2.48968 | 0.0900736 | ||||||||
\(765\) | 2.97509 | − | 4.21398i | 0.107565 | − | 0.152357i | ||||
\(766\) | 14.1403 | 0.510909 | ||||||||
\(767\) | −9.41741 | + | 16.3114i | −0.340043 | + | 0.588972i | ||||
\(768\) | −1.73025 | − | 0.0789082i | −0.0624351 | − | 0.00284736i | ||||
\(769\) | −12.5869 | − | 21.8011i | −0.453894 | − | 0.786167i | 0.544730 | − | 0.838611i | \(-0.316632\pi\) |
−0.998624 | + | 0.0524443i | \(0.983299\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −36.4238 | − | 1.66111i | −1.31177 | − | 0.0598234i | ||||
\(772\) | −2.24484 | + | 3.88818i | −0.0807936 | + | 0.139939i | ||||
\(773\) | −1.50408 | −0.0540979 | −0.0270490 | − | 0.999634i | \(-0.508611\pi\) | ||||
−0.0270490 | + | 0.999634i | \(0.508611\pi\) | |||||||
\(774\) | 16.1388 | − | 22.8593i | 0.580098 | − | 0.821660i | ||||
\(775\) | −2.46382 | −0.0885030 | ||||||||
\(776\) | 5.59358 | − | 9.68836i | 0.200798 | − | 0.347792i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 11.5651 | + | 20.0313i | 0.414628 | + | 0.718157i | ||||
\(779\) | −1.91741 | − | 3.32105i | −0.0686984 | − | 0.118989i | ||||
\(780\) | 0.627819 | − | 0.981271i | 0.0224795 | − | 0.0351351i | ||||
\(781\) | 3.06361 | − | 5.30633i | 0.109625 | − | 0.189875i | ||||
\(782\) | −4.23073 | −0.151291 | ||||||||
\(783\) | 28.6050 | − | 36.8329i | 1.02226 | − | 1.31630i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 4.83122 | − | 8.36792i | 0.172434 | − | 0.298664i | ||||
\(786\) | −19.7309 | + | 30.8391i | −0.703779 | + | 1.10000i | ||||
\(787\) | −7.47656 | − | 12.9498i | −0.266510 | − | 0.461610i | 0.701448 | − | 0.712721i | \(-0.252537\pi\) |
−0.967958 | + | 0.251111i | \(0.919204\pi\) | |||||||
\(788\) | −6.36693 | − | 11.0278i | −0.226812 | − | 0.392850i | ||||
\(789\) | −4.11556 | − | 7.94351i | −0.146518 | − | 0.282796i | ||||
\(790\) | 1.15292 | − | 1.99691i | 0.0410190 | − | 0.0710470i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −10.8976 | − | 0.996040i | −0.387228 | − | 0.0353927i | ||||
\(793\) | −17.6477 | −0.626687 | ||||||||
\(794\) | 5.13307 | − | 8.89075i | 0.182166 | − | 0.315521i | ||||
\(795\) | 9.90856 | + | 0.451880i | 0.351420 | + | 0.0160265i | ||||
\(796\) | 1.47296 | + | 2.55124i | 0.0522076 | + | 0.0904262i | ||||
\(797\) | 4.56294 | + | 7.90324i | 0.161628 | + | 0.279947i | 0.935453 | − | 0.353452i | \(-0.114992\pi\) |
−0.773825 | + | 0.633400i | \(0.781659\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −4.34514 | + | 7.52600i | −0.153720 | + | 0.266251i | ||||
\(800\) | −4.78794 | −0.169279 | ||||||||
\(801\) | 3.42821 | + | 7.42692i | 0.121130 | + | 0.262417i | ||||
\(802\) | 34.0335 | 1.20176 | ||||||||
\(803\) | −24.1498 | + | 41.8287i | −0.852228 | + | 1.47610i | ||||
\(804\) | −1.84874 | − | 3.56828i | −0.0652000 | − | 0.125843i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −0.375780 | − | 0.650870i | −0.0132363 | − | 0.0229259i | ||||
\(807\) | 15.7352 | − | 24.5939i | 0.553905 | − | 0.865746i | ||||
\(808\) | 6.87792 | − | 11.9129i | 0.241964 | − | 0.419094i | ||||
\(809\) | −35.5510 | −1.24991 | −0.624953 | − | 0.780663i | \(-0.714882\pi\) | ||||
−0.624953 | + | 0.780663i | \(0.714882\pi\) | |||||||
\(810\) | −2.68862 | + | 3.15413i | −0.0944685 | + | 0.110825i | ||||
\(811\) | 13.5070 | 0.474295 | 0.237148 | − | 0.971474i | \(-0.423788\pi\) | ||||
0.237148 | + | 0.971474i | \(0.423788\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 23.4415 | − | 36.6388i | 0.822130 | − | 1.28498i | ||||
\(814\) | 16.6118 | + | 28.7724i | 0.582242 | + | 1.00847i | ||||
\(815\) | −5.30418 | − | 9.18711i | −0.185797 | − | 0.321810i | ||||
\(816\) | −2.97509 | − | 5.74228i | −0.104149 | − | 0.201020i | ||||
\(817\) | −18.9071 | + | 32.7480i | −0.661475 | + | 1.14571i | ||||
\(818\) | 3.48968 | 0.122014 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.435599 | −0.0152118 | ||||||||
\(821\) | −10.8114 | + | 18.7259i | −0.377320 | + | 0.653537i | −0.990671 | − | 0.136273i | \(-0.956488\pi\) |
0.613352 | + | 0.789810i | \(0.289821\pi\) | |||||||
\(822\) | 7.62422 | + | 0.347703i | 0.265925 | + | 0.0121275i | ||||
\(823\) | 0.753501 | + | 1.30510i | 0.0262654 | + | 0.0454930i | 0.878859 | − | 0.477081i | \(-0.158305\pi\) |
−0.852594 | + | 0.522574i | \(0.824972\pi\) | |||||||
\(824\) | 5.58113 | + | 9.66679i | 0.194428 | + | 0.336759i | ||||
\(825\) | −30.2185 | − | 1.37811i | −1.05207 | − | 0.0479798i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 23.3786 | 0.812953 | 0.406477 | − | 0.913661i | \(-0.366757\pi\) | ||||
0.406477 | + | 0.913661i | \(0.366757\pi\) | |||||||
\(828\) | 3.38511 | + | 0.309400i | 0.117641 | + | 0.0107524i | ||||
\(829\) | −22.0191 | −0.764753 | −0.382377 | − | 0.924007i | \(-0.624894\pi\) | ||||
−0.382377 | + | 0.924007i | \(0.624894\pi\) | |||||||
\(830\) | −1.53064 | + | 2.65115i | −0.0531293 | + | 0.0920227i | ||||
\(831\) | 2.69436 | + | 5.20042i | 0.0934662 | + | 0.180401i | ||||
\(832\) | −0.730252 | − | 1.26483i | −0.0253169 | − | 0.0438502i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −1.89017 | + | 2.95431i | −0.0654514 | + | 0.102300i | ||||
\(835\) | 2.44757 | − | 4.23932i | 0.0847018 | − | 0.146708i | ||||
\(836\) | 14.7879 | 0.511451 | ||||||||
\(837\) | 1.00885 | + | 2.47626i | 0.0348711 | + | 0.0855921i | ||||
\(838\) | 28.9794 | 1.00108 | ||||||||
\(839\) | 1.06507 | − | 1.84476i | 0.0367705 | − | 0.0636883i | −0.847055 | − | 0.531506i | \(-0.821626\pi\) |
0.883825 | + | 0.467818i | \(0.154960\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −25.7762 | − | 44.6456i | −0.888833 | − | 1.53950i | ||||
\(842\) | −1.06128 | − | 1.83819i | −0.0365742 | − | 0.0633483i | ||||
\(843\) | 16.1570 | + | 31.1849i | 0.556477 | + | 1.07406i | ||||
\(844\) | −0.608168 | + | 1.05338i | −0.0209340 | + | 0.0362588i | ||||
\(845\) | −5.00427 | −0.172152 | ||||||||
\(846\) | 4.02704 | − | 5.70397i | 0.138453 | − | 0.196107i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 6.21780 | − | 10.7695i | 0.213520 | − | 0.369828i | ||||
\(849\) | 30.0189 | + | 1.36901i | 1.03024 | + | 0.0469844i | ||||
\(850\) | −8.93872 | − | 15.4823i | −0.306596 | − | 0.531039i | ||||
\(851\) | −5.16012 | − | 8.93758i | −0.176887 | − | 0.306376i | ||||
\(852\) | −2.90642 | − | 0.132547i | −0.0995723 | − | 0.00454100i | ||||
\(853\) | 3.50146 | − | 6.06471i | 0.119888 | − | 0.207652i | −0.799835 | − | 0.600220i | \(-0.795080\pi\) |
0.919723 | + | 0.392568i | \(0.128413\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 3.23025 | − | 4.57539i | 0.110472 | − | 0.156475i | ||||
\(856\) | 7.78074 | 0.265940 | ||||||||
\(857\) | 5.46410 | − | 9.46410i | 0.186650 | − | 0.323288i | −0.757481 | − | 0.652857i | \(-0.773570\pi\) |
0.944131 | + | 0.329569i | \(0.106904\pi\) | |||||||
\(858\) | −4.24484 | − | 8.19304i | −0.144917 | − | 0.279706i | ||||
\(859\) | −6.95379 | − | 12.0443i | −0.237260 | − | 0.410947i | 0.722667 | − | 0.691196i | \(-0.242916\pi\) |
−0.959927 | + | 0.280250i | \(0.909583\pi\) | |||||||
\(860\) | 2.14766 | + | 3.71986i | 0.0732347 | + | 0.126846i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 10.9356 | − | 18.9410i | 0.372468 | − | 0.645133i | ||||
\(863\) | 36.8463 | 1.25426 | 0.627131 | − | 0.778914i | \(-0.284229\pi\) | ||||
0.627131 | + | 0.778914i | \(0.284229\pi\) | |||||||
\(864\) | 1.96050 | + | 4.81211i | 0.0666977 | + | 0.163711i | ||||
\(865\) | −1.35329 | −0.0460134 | ||||||||
\(866\) | −6.52558 | + | 11.3026i | −0.221748 | + | 0.384079i | ||||
\(867\) | −2.85486 | + | 4.46211i | −0.0969562 | + | 0.151541i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −9.13229 | − | 15.8176i | −0.309792 | − | 0.536575i | ||||
\(870\) | 3.29319 | + | 6.35624i | 0.111650 | + | 0.215497i | ||||
\(871\) | 1.69436 | − | 2.93471i | 0.0574111 | − | 0.0994389i | ||||
\(872\) | 7.51459 | 0.254476 | ||||||||
\(873\) | −33.4222 | − | 3.05479i | −1.13117 | − | 0.103389i | ||||
\(874\) | −4.59358 | −0.155380 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 22.9107 | + | 1.04484i | 0.774081 | + | 0.0353020i | ||||
\(877\) | 5.17977 | + | 8.97162i | 0.174908 | + | 0.302950i | 0.940130 | − | 0.340817i | \(-0.110704\pi\) |
−0.765221 | + | 0.643767i | \(0.777370\pi\) | |||||||
\(878\) | 2.43200 | + | 4.21235i | 0.0820760 | + | 0.142160i | ||||
\(879\) | 17.0797 | + | 0.778919i | 0.576083 | + | 0.0262723i | ||||
\(880\) | 0.839883 | − | 1.45472i | 0.0283125 | − | 0.0490386i | ||||
\(881\) | −9.34806 | −0.314944 | −0.157472 | − | 0.987523i | \(-0.550334\pi\) | ||||
−0.157472 | + | 0.987523i | \(0.550334\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 2.29494 | 0.0772308 | 0.0386154 | − | 0.999254i | \(-0.487705\pi\) | ||||
0.0386154 | + | 0.999254i | \(0.487705\pi\) | |||||||
\(884\) | 2.72665 | − | 4.72270i | 0.0917073 | − | 0.158842i | ||||
\(885\) | 4.73191 | + | 9.13314i | 0.159061 | + | 0.307007i | ||||
\(886\) | 5.76975 | + | 9.99350i | 0.193838 | + | 0.335738i | ||||
\(887\) | −13.8363 | − | 23.9651i | −0.464577 | − | 0.804671i | 0.534605 | − | 0.845102i | \(-0.320460\pi\) |
−0.999182 | + | 0.0404309i | \(0.987127\pi\) | |||||||
\(888\) | 8.50214 | − | 13.2887i | 0.285313 | − | 0.445940i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −1.25564 | −0.0420891 | ||||||||
\(891\) | 10.9884 | + | 30.9354i | 0.368126 | + | 1.03637i | ||||
\(892\) | −0.891832 | −0.0298607 | ||||||||
\(893\) | −4.71780 | + | 8.17147i | −0.157875 | + | 0.273448i | ||||
\(894\) | −8.55262 | + | 13.3676i | −0.286042 | + | 0.447080i | ||||
\(895\) | −2.10963 | − | 3.65399i | −0.0705172 | − | 0.122139i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 1.31858 | + | 2.54500i | 0.0440260 | + | 0.0849752i | ||||
\(898\) | 13.2125 | − | 22.8848i | 0.440908 | − | 0.763676i | ||||
\(899\) | 4.61849 | 0.154035 | ||||||||
\(900\) | 6.01984 | + | 13.0415i | 0.200661 | + | 0.434716i | ||||
\(901\) | 46.4327 | 1.54690 | ||||||||
\(902\) | −1.72519 | + | 2.98812i | −0.0574426 | + | 0.0994935i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 3.03064 | + | 5.24922i | 0.100798 | + | 0.174587i | ||||
\(905\) | 5.16419 | + | 8.94465i | 0.171664 | + | 0.297330i | ||||
\(906\) | 0.179767 | + | 0.00819828i | 0.00597235 | + | 0.000272369i | ||||
\(907\) | 1.46576 | − | 2.53877i | 0.0486698 | − | 0.0842985i | −0.840664 | − | 0.541557i | \(-0.817835\pi\) |
0.889334 | + | 0.457258i | \(0.151168\pi\) | |||||||
\(908\) | 14.6519 | 0.486242 | ||||||||
\(909\) | −41.0962 | − | 3.75620i | −1.36307 | − | 0.124585i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 15.3171 | − | 26.5300i | 0.507479 | − | 0.878979i | −0.492484 | − | 0.870322i | \(-0.663911\pi\) |
0.999963 | − | 0.00865719i | \(-0.00275570\pi\) | |||||||
\(912\) | −3.23025 | − | 6.23476i | −0.106964 | − | 0.206454i | ||||
\(913\) | 12.1242 | + | 20.9998i | 0.401253 | + | 0.694991i | ||||
\(914\) | 1.86906 | + | 3.23731i | 0.0618231 | + | 0.107081i | ||||
\(915\) | −5.19416 | + | 8.11840i | −0.171714 | + | 0.268386i | ||||
\(916\) | −4.78794 | + | 8.29295i | −0.158198 | + | 0.274007i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −11.9004 | + | 15.3234i | −0.392771 | + | 0.505746i | ||||
\(919\) | −26.3714 | −0.869912 | −0.434956 | − | 0.900452i | \(-0.643236\pi\) | ||||
−0.434956 | + | 0.900452i | \(0.643236\pi\) | |||||||
\(920\) | −0.260893 | + | 0.451880i | −0.00860139 | + | 0.0148980i | ||||
\(921\) | −7.26975 | + | 11.3625i | −0.239546 | + | 0.374407i | ||||
\(922\) | 7.90496 | + | 13.6918i | 0.260336 | + | 0.450915i | ||||
\(923\) | −1.22665 | − | 2.12463i | −0.0403758 | − | 0.0699329i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 21.8047 | − | 37.7668i | 0.716933 | − | 1.24176i | ||||
\(926\) | −38.3930 | −1.26167 | ||||||||
\(927\) | 19.3135 | − | 27.3560i | 0.634339 | − | 0.898489i | ||||
\(928\) | 8.97509 | 0.294622 | ||||||||
\(929\) | 8.93706 | − | 15.4794i | 0.293215 | − | 0.507864i | −0.681353 | − | 0.731955i | \(-0.738608\pi\) |
0.974568 | + | 0.224091i | \(0.0719413\pi\) | |||||||
\(930\) | −0.410019 | − | 0.0186989i | −0.0134451 | − | 0.000613163i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 7.21420 | + | 12.4954i | 0.236309 | + | 0.409299i | ||||
\(933\) | 26.6644 | + | 1.21603i | 0.872953 | + | 0.0398111i | ||||
\(934\) | −3.15652 | + | 5.46725i | −0.103284 | + | 0.178894i | ||||
\(935\) | 6.27200 | 0.205116 | ||||||||
\(936\) | −2.52704 | + | 3.57935i | −0.0825990 | + | 0.116995i | ||||
\(937\) | −15.9134 | −0.519869 | −0.259934 | − | 0.965626i | \(-0.583701\pi\) | ||||
−0.259934 | + | 0.965626i | \(0.583701\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −6.77023 | − | 13.0673i | −0.220938 | − | 0.426436i | ||||
\(940\) | 0.535897 | + | 0.928200i | 0.0174790 | + | 0.0302745i | ||||
\(941\) | −8.14027 | − | 14.0994i | −0.265365 | − | 0.459626i | 0.702294 | − | 0.711887i | \(-0.252159\pi\) |
−0.967659 | + | 0.252261i | \(0.918826\pi\) | |||||||
\(942\) | −19.5862 | + | 30.6129i | −0.638152 | + | 0.997423i | ||||
\(943\) | 0.535897 | − | 0.928200i | 0.0174512 | − | 0.0302264i | ||||
\(944\) | 12.8961 | 0.419732 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 34.0233 | 1.10619 | ||||||||
\(947\) | 14.2951 | − | 24.7599i | 0.464529 | − | 0.804589i | −0.534651 | − | 0.845073i | \(-0.679557\pi\) |
0.999180 | + | 0.0404846i | \(0.0128902\pi\) | |||||||
\(948\) | −4.67403 | + | 7.30544i | −0.151806 | + | 0.237270i | ||||
\(949\) | 9.66945 | + | 16.7480i | 0.313884 | + | 0.543662i | ||||
\(950\) | −9.70535 | − | 16.8102i | −0.314883 | − | 0.545393i | ||||
\(951\) | −11.2389 | − | 21.6924i | −0.364447 | − | 0.703424i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −29.3537 | −0.950859 | −0.475430 | − | 0.879754i | \(-0.657707\pi\) | ||||
−0.475430 | + | 0.879754i | \(0.657707\pi\) | |||||||
\(954\) | −37.1519 | − | 3.39569i | −1.20284 | − | 0.109940i | ||||
\(955\) | 1.14651 | 0.0371002 | ||||||||
\(956\) | −9.15486 | + | 15.8567i | −0.296089 | + | 0.512842i | ||||
\(957\) | 56.6452 | + | 2.58331i | 1.83108 | + | 0.0835065i | ||||
\(958\) | −10.2068 | − | 17.6787i | −0.329767 | − | 0.571173i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −0.796790 | − | 0.0363376i | −0.0257163 | − | 0.00117279i | ||||
\(961\) | 15.3676 | − | 26.6175i | 0.495729 | − | 0.858628i | ||||
\(962\) | 13.3025 | 0.428891 | ||||||||
\(963\) | −9.78268 | − | 21.1934i | −0.315242 | − | 0.682946i | ||||
\(964\) | −0.0933847 | −0.00300772 | ||||||||
\(965\) | −1.03376 | + | 1.79053i | −0.0332779 | + | 0.0576391i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −4.69815 | − | 8.13743i | −0.151082 | − | 0.261682i | 0.780543 | − | 0.625102i | \(-0.214943\pi\) |
−0.931626 | + | 0.363419i | \(0.881609\pi\) | |||||||
\(968\) | −1.15272 | − | 1.99658i | −0.0370500 | − | 0.0641724i | ||||
\(969\) | 14.1301 | − | 22.0852i | 0.453926 | − | 0.709479i | ||||
\(970\) | 2.57587 | − | 4.46154i | 0.0827062 | − | 0.143251i | ||||
\(971\) | 15.5467 | 0.498917 | 0.249459 | − | 0.968385i | \(-0.419747\pi\) | ||||
0.249459 | + | 0.968385i | \(0.419747\pi\) | |||||||
\(972\) | 10.6424 | − | 11.3903i | 0.341355 | − | 0.365344i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 6.18190 | − | 10.7074i | 0.198081 | − | 0.343086i | ||||
\(975\) | −6.52752 | + | 10.2024i | −0.209048 | + | 0.326739i | ||||
\(976\) | 6.04163 | + | 10.4644i | 0.193388 | + | 0.334958i | ||||
\(977\) | 4.79893 | + | 8.31198i | 0.153531 | + | 0.265924i | 0.932523 | − | 0.361110i | \(-0.117602\pi\) |
−0.778992 | + | 0.627034i | \(0.784269\pi\) | |||||||
\(978\) | 18.3551 | + | 35.4276i | 0.586933 | + | 1.13285i | ||||
\(979\) | −4.97296 | + | 8.61342i | −0.158936 | + | 0.275286i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −9.44805 | − | 20.4684i | −0.301653 | − | 0.653506i | ||||
\(982\) | −0.414007 | −0.0132115 | ||||||||
\(983\) | −23.4267 | + | 40.5763i | −0.747197 | + | 1.29418i | 0.201964 | + | 0.979393i | \(0.435268\pi\) |
−0.949161 | + | 0.314790i | \(0.898066\pi\) | |||||||
\(984\) | 1.63667 | + | 0.0746406i | 0.0521752 | + | 0.00237945i | ||||
\(985\) | −2.93200 | − | 5.07837i | −0.0934213 | − | 0.161810i | ||||
\(986\) | 16.7558 | + | 29.0220i | 0.533614 | + | 0.924247i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 2.96050 | − | 5.12774i | 0.0941862 | − | 0.163135i | ||||
\(989\) | −10.5687 | −0.336064 | ||||||||
\(990\) | −5.01838 | − | 0.458681i | −0.159495 | − | 0.0145778i | ||||
\(991\) | −21.6519 | −0.687796 | −0.343898 | − | 0.939007i | \(-0.611748\pi\) | ||||
−0.343898 | + | 0.939007i | \(0.611748\pi\) | |||||||
\(992\) | −0.257295 | + | 0.445647i | −0.00816911 | + | 0.0141493i | ||||
\(993\) | 21.9466 | + | 42.3595i | 0.696454 | + | 1.34424i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0.678304 | + | 1.17486i | 0.0215037 | + | 0.0372455i | ||||
\(996\) | 6.20535 | − | 9.69886i | 0.196624 | − | 0.307320i | ||||
\(997\) | −28.6190 | + | 49.5695i | −0.906372 | + | 1.56988i | −0.0873064 | + | 0.996182i | \(0.527826\pi\) |
−0.819065 | + | 0.573700i | \(0.805507\pi\) | |||||||
\(998\) | −0.923935 | −0.0292466 | ||||||||
\(999\) | −46.8858 | − | 6.45049i | −1.48340 | − | 0.204084i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))