Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [600,2,Mod(299,600)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(600, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("600.299");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 600 = 2^{3} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 600.m (of order \(2\), degree \(1\), 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: | \(4.79102412128\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + x^{14} + 4x^{12} + 12x^{10} + 16x^{8} + 48x^{6} + 64x^{4} + 64x^{2} + 256 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{11} \) |
Twist minimal: | no (minimal twist has level 120) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 299.13 | ||
Root | \(1.15595 - 0.814732i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 600.299 |
Dual form | 600.2.m.c.299.14 |
$q$-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 \(\left(\mathbb{Z}/600\mathbb{Z}\right)^\times\).
\(n\) | \(151\) | \(301\) | \(401\) | \(577\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.15595 | − | 0.814732i | 0.817378 | − | 0.576102i | ||||
\(3\) | 0.887900 | − | 1.48716i | 0.512629 | − | 0.858610i | ||||
\(4\) | 0.672424 | − | 1.88357i | 0.336212 | − | 0.941786i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.185268 | − | 2.44247i | −0.0756354 | − | 0.997136i | ||||
\(7\) | −0.797253 | −0.301333 | −0.150667 | − | 0.988585i | \(-0.548142\pi\) | ||||
−0.150667 | + | 0.988585i | \(0.548142\pi\) | |||||||
\(8\) | −0.757320 | − | 2.72515i | −0.267753 | − | 0.963488i | ||||
\(9\) | −1.42327 | − | 2.64089i | −0.474422 | − | 0.880297i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.320548i | 0.0966489i | 0.998832 | + | 0.0483245i | \(0.0153881\pi\) | ||||
−0.998832 | + | 0.0483245i | \(0.984612\pi\) | |||||||
\(12\) | −2.20412 | − | 2.67242i | −0.636275 | − | 0.771462i | ||||
\(13\) | −4.30324 | −1.19350 | −0.596752 | − | 0.802426i | \(-0.703542\pi\) | ||||
−0.596752 | + | 0.802426i | \(0.703542\pi\) | |||||||
\(14\) | −0.921582 | + | 0.649548i | −0.246303 | + | 0.173599i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.09569 | − | 2.53312i | −0.773923 | − | 0.633280i | ||||
\(17\) | 2.57305 | 0.624057 | 0.312029 | − | 0.950073i | \(-0.398992\pi\) | ||||
0.312029 | + | 0.950073i | \(0.398992\pi\) | |||||||
\(18\) | −3.79684 | − | 1.89315i | −0.894923 | − | 0.446220i | ||||
\(19\) | 6.10546 | 1.40069 | 0.700344 | − | 0.713805i | \(-0.253030\pi\) | ||||
0.700344 | + | 0.713805i | \(0.253030\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.707881 | + | 1.18564i | −0.154472 | + | 0.258728i | ||||
\(22\) | 0.261161 | + | 0.370537i | 0.0556797 | + | 0.0789986i | ||||
\(23\) | − | 3.13115i | − | 0.652889i | −0.945216 | − | 0.326445i | \(-0.894149\pi\) | ||
0.945216 | − | 0.326445i | \(-0.105851\pi\) | |||||||
\(24\) | −4.72515 | − | 1.29341i | −0.964518 | − | 0.264017i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −4.97431 | + | 3.50598i | −0.975543 | + | 0.687580i | ||||
\(27\) | −5.19114 | − | 0.228229i | −0.999035 | − | 0.0439227i | ||||
\(28\) | −0.536093 | + | 1.50168i | −0.101312 | + | 0.283792i | ||||
\(29\) | 8.79516 | 1.63322 | 0.816610 | − | 0.577190i | \(-0.195851\pi\) | ||||
0.816610 | + | 0.577190i | \(0.195851\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 9.90557i | 1.77909i | 0.456845 | + | 0.889546i | \(0.348980\pi\) | ||||
−0.456845 | + | 0.889546i | \(0.651020\pi\) | |||||||
\(32\) | −5.64227 | − | 0.405993i | −0.997421 | − | 0.0717702i | ||||
\(33\) | 0.476705 | + | 0.284615i | 0.0829837 | + | 0.0495451i | ||||
\(34\) | 2.97431 | − | 2.09635i | 0.510090 | − | 0.359521i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −5.93135 | + | 0.905026i | −0.988559 | + | 0.150838i | ||||
\(37\) | 8.49593 | 1.39672 | 0.698362 | − | 0.715745i | \(-0.253913\pi\) | ||||
0.698362 | + | 0.715745i | \(0.253913\pi\) | |||||||
\(38\) | 7.05758 | − | 4.97431i | 1.14489 | − | 0.806940i | ||||
\(39\) | −3.82085 | + | 6.39959i | −0.611825 | + | 1.02475i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 5.28178i | − | 0.824876i | −0.910986 | − | 0.412438i | \(-0.864677\pi\) | ||
0.910986 | − | 0.412438i | \(-0.135323\pi\) | |||||||
\(42\) | 0.147706 | + | 1.94727i | 0.0227915 | + | 0.300470i | ||||
\(43\) | 2.97431i | 0.453578i | 0.973944 | + | 0.226789i | \(0.0728228\pi\) | ||||
−0.973944 | + | 0.226789i | \(0.927177\pi\) | |||||||
\(44\) | 0.603776 | + | 0.215544i | 0.0910226 | + | 0.0324945i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.55105 | − | 3.61944i | −0.376131 | − | 0.533657i | ||||
\(47\) | − | 6.56192i | − | 0.957154i | −0.878046 | − | 0.478577i | \(-0.841153\pi\) | ||
0.878046 | − | 0.478577i | \(-0.158847\pi\) | |||||||
\(48\) | −6.51581 | + | 2.35462i | −0.940476 | + | 0.339860i | ||||
\(49\) | −6.36439 | −0.909198 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.28461 | − | 3.82653i | 0.319910 | − | 0.535822i | ||||
\(52\) | −2.89360 | + | 8.10546i | −0.401270 | + | 1.12403i | ||||
\(53\) | − | 3.94862i | − | 0.542385i | −0.962525 | − | 0.271193i | \(-0.912582\pi\) | ||
0.962525 | − | 0.271193i | \(-0.0874180\pi\) | |||||||
\(54\) | −6.18662 | + | 3.96556i | −0.841893 | + | 0.539645i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0.603776 | + | 2.17264i | 0.0806829 | + | 0.290331i | ||||
\(57\) | 5.42104 | − | 9.07977i | 0.718034 | − | 1.20265i | ||||
\(58\) | 10.1667 | − | 7.16569i | 1.33496 | − | 0.940902i | ||||
\(59\) | 12.4786i | 1.62458i | 0.583255 | + | 0.812289i | \(0.301779\pi\) | ||||
−0.583255 | + | 0.812289i | \(0.698221\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 8.83339i | 1.13100i | 0.824749 | + | 0.565500i | \(0.191317\pi\) | ||||
−0.824749 | + | 0.565500i | \(0.808683\pi\) | |||||||
\(62\) | 8.07038 | + | 11.4503i | 1.02494 | + | 1.45419i | ||||
\(63\) | 1.13470 | + | 2.10546i | 0.142959 | + | 0.265263i | ||||
\(64\) | −6.85293 | + | 4.12763i | −0.856617 | + | 0.515953i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.782930 | − | 0.0593874i | 0.0963721 | − | 0.00731008i | ||||
\(67\) | 4.66738i | 0.570211i | 0.958496 | + | 0.285106i | \(0.0920286\pi\) | ||||
−0.958496 | + | 0.285106i | \(0.907971\pi\) | |||||||
\(68\) | 1.73018 | − | 4.84653i | 0.209816 | − | 0.587728i | ||||
\(69\) | −4.65651 | − | 2.78015i | −0.560577 | − | 0.334690i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.43077 | 0.407158 | 0.203579 | − | 0.979059i | \(-0.434743\pi\) | ||||
0.203579 | + | 0.979059i | \(0.434743\pi\) | |||||||
\(72\) | −6.11897 | + | 5.87862i | −0.721128 | + | 0.692802i | ||||
\(73\) | 1.43077i | 0.167459i | 0.996489 | + | 0.0837295i | \(0.0266832\pi\) | ||||
−0.996489 | + | 0.0837295i | \(0.973317\pi\) | |||||||
\(74\) | 9.82085 | − | 6.92191i | 1.14165 | − | 0.804655i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.10546 | − | 11.5001i | 0.470929 | − | 1.31915i | ||||
\(77\) | − | 0.255558i | − | 0.0291235i | ||||||
\(78\) | 0.797253 | + | 10.5105i | 0.0902712 | + | 1.19008i | ||||
\(79\) | 2.89360i | 0.325556i | 0.986663 | + | 0.162778i | \(0.0520454\pi\) | ||||
−0.986663 | + | 0.162778i | \(0.947955\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −4.94862 | + | 7.51739i | −0.549847 | + | 0.835265i | ||||
\(82\) | −4.30324 | − | 6.10546i | −0.475213 | − | 0.674235i | ||||
\(83\) | −3.37031 | −0.369939 | −0.184970 | − | 0.982744i | \(-0.559219\pi\) | ||||
−0.184970 | + | 0.982744i | \(0.559219\pi\) | |||||||
\(84\) | 1.75724 | + | 2.13060i | 0.191731 | + | 0.232467i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 2.42327 | + | 3.43815i | 0.261308 | + | 0.370745i | ||||
\(87\) | 7.80922 | − | 13.0798i | 0.837236 | − | 1.40230i | ||||
\(88\) | 0.873543 | − | 0.242757i | 0.0931200 | − | 0.0258780i | ||||
\(89\) | − | 13.7526i | − | 1.45777i | −0.684636 | − | 0.728885i | \(-0.740039\pi\) | ||
0.684636 | − | 0.728885i | \(-0.259961\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.43077 | 0.359642 | ||||||||
\(92\) | −5.89774 | − | 2.10546i | −0.614882 | − | 0.219509i | ||||
\(93\) | 14.7311 | + | 8.79516i | 1.52755 | + | 0.912015i | ||||
\(94\) | −5.34620 | − | 7.58523i | −0.551419 | − | 0.782356i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −5.61354 | + | 8.03045i | −0.572930 | + | 0.819604i | ||||
\(97\) | − | 4.26230i | − | 0.432771i | −0.976308 | − | 0.216385i | \(-0.930573\pi\) | ||
0.976308 | − | 0.216385i | \(-0.0694267\pi\) | |||||||
\(98\) | −7.35689 | + | 5.18527i | −0.743158 | + | 0.523791i | ||||
\(99\) | 0.846533 | − | 0.456225i | 0.0850798 | − | 0.0458524i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 15.3130 | 1.52370 | 0.761851 | − | 0.647753i | \(-0.224291\pi\) | ||||
0.761851 | + | 0.647753i | \(0.224291\pi\) | |||||||
\(102\) | −0.476705 | − | 6.28461i | −0.0472008 | − | 0.622270i | ||||
\(103\) | −7.25936 | −0.715286 | −0.357643 | − | 0.933858i | \(-0.616419\pi\) | ||||
−0.357643 | + | 0.933858i | \(0.616419\pi\) | |||||||
\(104\) | 3.25893 | + | 11.7270i | 0.319564 | + | 1.14993i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −3.21707 | − | 4.56440i | −0.312469 | − | 0.443334i | ||||
\(107\) | −13.2928 | −1.28506 | −0.642531 | − | 0.766260i | \(-0.722116\pi\) | ||||
−0.642531 | + | 0.766260i | \(0.722116\pi\) | |||||||
\(108\) | −3.92053 | + | 9.62442i | −0.377254 | + | 0.926110i | ||||
\(109\) | − | 3.41592i | − | 0.327186i | −0.986528 | − | 0.163593i | \(-0.947692\pi\) | ||
0.986528 | − | 0.163593i | \(-0.0523084\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 7.54354 | − | 12.6348i | 0.716001 | − | 1.19924i | ||||
\(112\) | 2.46805 | + | 2.01954i | 0.233209 | + | 0.190828i | ||||
\(113\) | 10.2261 | 0.961992 | 0.480996 | − | 0.876723i | \(-0.340275\pi\) | ||||
0.480996 | + | 0.876723i | \(0.340275\pi\) | |||||||
\(114\) | −1.13115 | − | 14.9124i | −0.105942 | − | 1.39668i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 5.91408 | − | 16.5663i | 0.549108 | − | 1.53814i | ||||
\(117\) | 6.12465 | + | 11.3644i | 0.566224 | + | 1.05064i | ||||
\(118\) | 10.1667 | + | 14.4246i | 0.935923 | + | 1.32789i | ||||
\(119\) | −2.05138 | −0.188049 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.8972 | 0.990659 | ||||||||
\(122\) | 7.19684 | + | 10.2109i | 0.651571 | + | 0.924453i | ||||
\(123\) | −7.85484 | − | 4.68970i | −0.708247 | − | 0.422856i | ||||
\(124\) | 18.6579 | + | 6.66075i | 1.67553 | + | 0.598153i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 3.02704 | + | 1.50932i | 0.269670 | + | 0.134461i | ||||
\(127\) | −4.98995 | −0.442786 | −0.221393 | − | 0.975185i | \(-0.571060\pi\) | ||||
−0.221393 | + | 0.975185i | \(0.571060\pi\) | |||||||
\(128\) | −4.55872 | + | 10.3546i | −0.402937 | + | 0.915228i | ||||
\(129\) | 4.42327 | + | 2.64089i | 0.389447 | + | 0.232518i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 8.92702i | 0.779958i | 0.920824 | + | 0.389979i | \(0.127518\pi\) | ||||
−0.920824 | + | 0.389979i | \(0.872482\pi\) | |||||||
\(132\) | 0.856641 | − | 0.706527i | 0.0745610 | − | 0.0614953i | ||||
\(133\) | −4.86760 | −0.422074 | ||||||||
\(134\) | 3.80266 | + | 5.39524i | 0.328500 | + | 0.466078i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.94862 | − | 7.01197i | −0.167093 | − | 0.601271i | ||||
\(137\) | −1.61964 | −0.138375 | −0.0691877 | − | 0.997604i | \(-0.522041\pi\) | ||||
−0.0691877 | + | 0.997604i | \(0.522041\pi\) | |||||||
\(138\) | −7.64775 | + | 0.580102i | −0.651019 | + | 0.0493816i | ||||
\(139\) | −3.58761 | −0.304297 | −0.152148 | − | 0.988358i | \(-0.548619\pi\) | ||||
−0.152148 | + | 0.988358i | \(0.548619\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −9.75860 | − | 5.82633i | −0.821822 | − | 0.490665i | ||||
\(142\) | 3.96579 | − | 2.79516i | 0.332801 | − | 0.234564i | ||||
\(143\) | − | 1.37939i | − | 0.115351i | ||||||
\(144\) | −2.28370 | + | 11.7807i | −0.190309 | + | 0.981724i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 1.16569 | + | 1.65389i | 0.0964735 | + | 0.136877i | ||||
\(147\) | −5.65094 | + | 9.46484i | −0.466082 | + | 0.780647i | ||||
\(148\) | 5.71287 | − | 16.0027i | 0.469595 | − | 1.31541i | ||||
\(149\) | 2.31367 | 0.189543 | 0.0947717 | − | 0.995499i | \(-0.469788\pi\) | ||||
0.0947717 | + | 0.995499i | \(0.469788\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 3.44347i | − | 0.280225i | −0.990136 | − | 0.140113i | \(-0.955254\pi\) | ||
0.990136 | − | 0.140113i | \(-0.0447465\pi\) | |||||||
\(152\) | −4.62379 | − | 16.6383i | −0.375039 | − | 1.34955i | ||||
\(153\) | −3.66214 | − | 6.79516i | −0.296067 | − | 0.549356i | ||||
\(154\) | −0.208211 | − | 0.295411i | −0.0167781 | − | 0.0238049i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 9.48486 | + | 11.5001i | 0.759396 | + | 0.920743i | ||||
\(157\) | −9.17084 | −0.731912 | −0.365956 | − | 0.930632i | \(-0.619258\pi\) | ||||
−0.365956 | + | 0.930632i | \(0.619258\pi\) | |||||||
\(158\) | 2.35751 | + | 3.34485i | 0.187553 | + | 0.266102i | ||||
\(159\) | −5.87222 | − | 3.50598i | −0.465697 | − | 0.278043i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 2.49632i | 0.196737i | ||||||||
\(162\) | 0.404309 | + | 12.7215i | 0.0317656 | + | 0.999495i | ||||
\(163\) | 10.6160i | 0.831510i | 0.909477 | + | 0.415755i | \(0.136483\pi\) | ||||
−0.909477 | + | 0.415755i | \(0.863517\pi\) | |||||||
\(164\) | −9.94862 | − | 3.55160i | −0.776857 | − | 0.277333i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −3.89589 | + | 2.74590i | −0.302380 | + | 0.213123i | ||||
\(167\) | 13.3353i | 1.03192i | 0.856613 | + | 0.515959i | \(0.172564\pi\) | ||||
−0.856613 | + | 0.515959i | \(0.827436\pi\) | |||||||
\(168\) | 3.76715 | + | 1.03118i | 0.290642 | + | 0.0795571i | ||||
\(169\) | 5.51785 | 0.424450 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −8.68970 | − | 16.1239i | −0.664518 | − | 1.23302i | ||||
\(172\) | 5.60233 | + | 2.00000i | 0.427174 | + | 0.152499i | ||||
\(173\) | 13.8972i | 1.05659i | 0.849061 | + | 0.528294i | \(0.177168\pi\) | ||||
−0.849061 | + | 0.528294i | \(0.822832\pi\) | |||||||
\(174\) | −1.62946 | − | 21.4819i | −0.123529 | − | 1.62854i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.811987 | − | 0.992318i | 0.0612058 | − | 0.0747988i | ||||
\(177\) | 18.5577 | + | 11.0798i | 1.39488 | + | 0.832807i | ||||
\(178\) | −11.2047 | − | 15.8972i | −0.839825 | − | 1.19155i | ||||
\(179\) | − | 5.18815i | − | 0.387780i | −0.981023 | − | 0.193890i | \(-0.937889\pi\) | ||
0.981023 | − | 0.193890i | \(-0.0621105\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 2.59819i | − | 0.193122i | −0.995327 | − | 0.0965610i | \(-0.969216\pi\) | ||
0.995327 | − | 0.0965610i | \(-0.0307843\pi\) | |||||||
\(182\) | 3.96579 | − | 2.79516i | 0.293964 | − | 0.207191i | ||||
\(183\) | 13.1366 | + | 7.84316i | 0.971087 | + | 0.579783i | ||||
\(184\) | −8.53286 | + | 2.37128i | −0.629051 | + | 0.174813i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 24.1941 | − | 1.83519i | 1.77400 | − | 0.134562i | ||||
\(187\) | 0.824788i | 0.0603144i | ||||||||
\(188\) | −12.3598 | − | 4.41239i | −0.901435 | − | 0.321807i | ||||
\(189\) | 4.13865 | + | 0.181956i | 0.301043 | + | 0.0132354i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −12.2556 | −0.886781 | −0.443391 | − | 0.896329i | \(-0.646225\pi\) | ||||
−0.443391 | + | 0.896329i | \(0.646225\pi\) | |||||||
\(192\) | 0.0537046 | + | 13.8563i | 0.00387579 | + | 0.999992i | ||||
\(193\) | − | 8.26230i | − | 0.594733i | −0.954763 | − | 0.297367i | \(-0.903892\pi\) | ||
0.954763 | − | 0.297367i | \(-0.0961083\pi\) | |||||||
\(194\) | −3.47263 | − | 4.92699i | −0.249320 | − | 0.353737i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −4.27957 | + | 11.9878i | −0.305683 | + | 0.856270i | ||||
\(197\) | 10.8102i | 0.770192i | 0.922876 | + | 0.385096i | \(0.125832\pi\) | ||||
−0.922876 | + | 0.385096i | \(0.874168\pi\) | |||||||
\(198\) | 0.606846 | − | 1.21707i | 0.0431266 | − | 0.0864934i | ||||
\(199\) | − | 5.71287i | − | 0.404975i | −0.979285 | − | 0.202487i | \(-0.935097\pi\) | ||
0.979285 | − | 0.202487i | \(-0.0649025\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 6.94112 | + | 4.14417i | 0.489589 | + | 0.292307i | ||||
\(202\) | 17.7010 | − | 12.4760i | 1.24544 | − | 0.877808i | ||||
\(203\) | −7.01197 | −0.492144 | ||||||||
\(204\) | −5.67132 | − | 6.87629i | −0.397072 | − | 0.481437i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −8.39143 | + | 5.91443i | −0.584659 | + | 0.412078i | ||||
\(207\) | −8.26902 | + | 4.45646i | −0.574737 | + | 0.309745i | ||||
\(208\) | 13.3215 | + | 10.9006i | 0.923679 | + | 0.755822i | ||||
\(209\) | 1.95709i | 0.135375i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −8.15684 | −0.561540 | −0.280770 | − | 0.959775i | \(-0.590590\pi\) | ||||
−0.280770 | + | 0.959775i | \(0.590590\pi\) | |||||||
\(212\) | −7.43752 | − | 2.65515i | −0.510811 | − | 0.182357i | ||||
\(213\) | 3.04618 | − | 5.10209i | 0.208721 | − | 0.349590i | ||||
\(214\) | −15.3657 | + | 10.8300i | −1.05038 | + | 0.740327i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 3.30939 | + | 14.3195i | 0.225176 | + | 0.974318i | ||||
\(217\) | − | 7.89725i | − | 0.536100i | ||||||
\(218\) | −2.78306 | − | 3.94862i | −0.188493 | − | 0.267435i | ||||
\(219\) | 2.12778 | + | 1.27038i | 0.143782 | + | 0.0858444i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −11.0725 | −0.744814 | ||||||||
\(222\) | −1.57403 | − | 20.7511i | −0.105642 | − | 1.39272i | ||||
\(223\) | −20.6084 | −1.38004 | −0.690020 | − | 0.723790i | \(-0.742398\pi\) | ||||
−0.690020 | + | 0.723790i | \(0.742398\pi\) | |||||||
\(224\) | 4.49832 | + | 0.323680i | 0.300556 | + | 0.0216268i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 11.8208 | − | 8.33154i | 0.786311 | − | 0.554206i | ||||
\(227\) | 27.0044 | 1.79235 | 0.896173 | − | 0.443706i | \(-0.146336\pi\) | ||||
0.896173 | + | 0.443706i | \(0.146336\pi\) | |||||||
\(228\) | −13.4572 | − | 16.3164i | −0.891223 | − | 1.08058i | ||||
\(229\) | 9.65112i | 0.637764i | 0.947794 | + | 0.318882i | \(0.103307\pi\) | ||||
−0.947794 | + | 0.318882i | \(0.896693\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.380055 | − | 0.226910i | −0.0250058 | − | 0.0149296i | ||||
\(232\) | −6.66075 | − | 23.9682i | −0.437299 | − | 1.57359i | ||||
\(233\) | 1.29086 | 0.0845671 | 0.0422836 | − | 0.999106i | \(-0.486537\pi\) | ||||
0.0422836 | + | 0.999106i | \(0.486537\pi\) | |||||||
\(234\) | 16.3387 | + | 8.14667i | 1.06809 | + | 0.532565i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 23.5044 | + | 8.39093i | 1.53001 | + | 0.546203i | ||||
\(237\) | 4.30324 | + | 2.56923i | 0.279525 | + | 0.166889i | ||||
\(238\) | −2.37128 | + | 1.67132i | −0.153707 | + | 0.108336i | ||||
\(239\) | −4.21092 | −0.272382 | −0.136191 | − | 0.990683i | \(-0.543486\pi\) | ||||
−0.136191 | + | 0.990683i | \(0.543486\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −19.5686 | −1.26052 | −0.630261 | − | 0.776383i | \(-0.717052\pi\) | ||||
−0.630261 | + | 0.776383i | \(0.717052\pi\) | |||||||
\(242\) | 12.5966 | − | 8.87833i | 0.809742 | − | 0.570721i | ||||
\(243\) | 6.78564 | + | 14.0341i | 0.435299 | + | 0.900286i | ||||
\(244\) | 16.6383 | + | 5.93978i | 1.06516 | + | 0.380256i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −12.9006 | + | 0.978547i | −0.822513 | + | 0.0623899i | ||||
\(247\) | −26.2732 | −1.67173 | ||||||||
\(248\) | 26.9942 | − | 7.50168i | 1.71413 | − | 0.476357i | ||||
\(249\) | −2.99250 | + | 5.01217i | −0.189642 | + | 0.317634i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 17.5335i | 1.10670i | 0.832947 | + | 0.553352i | \(0.186652\pi\) | ||||
−0.832947 | + | 0.553352i | \(0.813348\pi\) | |||||||
\(252\) | 4.72879 | − | 0.721535i | 0.297886 | − | 0.0454524i | ||||
\(253\) | 1.00368 | 0.0631011 | ||||||||
\(254\) | −5.76812 | + | 4.06547i | −0.361924 | + | 0.255090i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 3.16660 | + | 15.6835i | 0.197913 | + | 0.980220i | ||||
\(257\) | −1.16582 | −0.0727221 | −0.0363610 | − | 0.999339i | \(-0.511577\pi\) | ||||
−0.0363610 | + | 0.999339i | \(0.511577\pi\) | |||||||
\(258\) | 7.26468 | − | 0.551046i | 0.452279 | − | 0.0343066i | ||||
\(259\) | −6.77341 | −0.420879 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −12.5179 | − | 23.2271i | −0.774836 | − | 1.43772i | ||||
\(262\) | 7.27313 | + | 10.3192i | 0.449335 | + | 0.637520i | ||||
\(263\) | − | 15.3867i | − | 0.948785i | −0.880313 | − | 0.474392i | \(-0.842668\pi\) | ||
0.880313 | − | 0.474392i | \(-0.157332\pi\) | |||||||
\(264\) | 0.414601 | − | 1.51464i | 0.0255169 | − | 0.0932196i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −5.62668 | + | 3.96579i | −0.344994 | + | 0.243158i | ||||
\(267\) | −20.4522 | − | 12.2109i | −1.25166 | − | 0.747296i | ||||
\(268\) | 8.79135 | + | 3.13846i | 0.537017 | + | 0.191712i | ||||
\(269\) | 2.82479 | 0.172230 | 0.0861152 | − | 0.996285i | \(-0.472555\pi\) | ||||
0.0861152 | + | 0.996285i | \(0.472555\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 3.89729i | − | 0.236743i | −0.992969 | − | 0.118372i | \(-0.962233\pi\) | ||
0.992969 | − | 0.118372i | \(-0.0377674\pi\) | |||||||
\(272\) | −7.96538 | − | 6.51785i | −0.482972 | − | 0.395203i | ||||
\(273\) | 3.04618 | − | 5.10209i | 0.184363 | − | 0.308793i | ||||
\(274\) | −1.87222 | + | 1.31957i | −0.113105 | + | 0.0797184i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −8.36776 | + | 6.90143i | −0.503680 | + | 0.415417i | ||||
\(277\) | −21.8450 | −1.31254 | −0.656269 | − | 0.754527i | \(-0.727866\pi\) | ||||
−0.656269 | + | 0.754527i | \(0.727866\pi\) | |||||||
\(278\) | −4.14708 | + | 2.92294i | −0.248725 | + | 0.175306i | ||||
\(279\) | 26.1595 | − | 14.0983i | 1.56613 | − | 0.844041i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 20.7201i | − | 1.23606i | −0.786155 | − | 0.618029i | \(-0.787931\pi\) | ||
0.786155 | − | 0.618029i | \(-0.212069\pi\) | |||||||
\(282\) | −16.0273 | + | 1.21572i | −0.954412 | + | 0.0723948i | ||||
\(283\) | − | 1.23661i | − | 0.0735087i | −0.999324 | − | 0.0367544i | \(-0.988298\pi\) | ||
0.999324 | − | 0.0367544i | \(-0.0117019\pi\) | |||||||
\(284\) | 2.30693 | − | 6.46211i | 0.136891 | − | 0.383455i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −1.12384 | − | 1.59451i | −0.0664539 | − | 0.0942852i | ||||
\(287\) | 4.21092i | 0.248563i | ||||||||
\(288\) | 6.95826 | + | 15.4785i | 0.410020 | + | 0.912077i | ||||
\(289\) | −10.3794 | −0.610553 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −6.33870 | − | 3.78449i | −0.371581 | − | 0.221851i | ||||
\(292\) | 2.69496 | + | 0.962085i | 0.157711 | + | 0.0563018i | ||||
\(293\) | − | 6.00000i | − | 0.350524i | −0.984522 | − | 0.175262i | \(-0.943923\pi\) | ||
0.984522 | − | 0.175262i | \(-0.0560772\pi\) | |||||||
\(294\) | 1.17912 | + | 15.5448i | 0.0687676 | + | 0.906594i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −6.43414 | − | 23.1527i | −0.373977 | − | 1.34573i | ||||
\(297\) | 0.0731584 | − | 1.66401i | 0.00424508 | − | 0.0965556i | ||||
\(298\) | 2.67448 | − | 1.88502i | 0.154928 | − | 0.109196i | ||||
\(299\) | 13.4741i | 0.779226i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | − | 2.37128i | − | 0.136678i | ||||||
\(302\) | −2.80550 | − | 3.98046i | −0.161438 | − | 0.229050i | ||||
\(303\) | 13.5964 | − | 22.7728i | 0.781094 | − | 1.30827i | ||||
\(304\) | −18.9006 | − | 15.4659i | −1.08402 | − | 0.887028i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −9.76947 | − | 4.87118i | −0.558483 | − | 0.278467i | ||||
\(307\) | 6.71875i | 0.383460i | 0.981448 | + | 0.191730i | \(0.0614097\pi\) | ||||
−0.981448 | + | 0.191730i | \(0.938590\pi\) | |||||||
\(308\) | −0.481362 | − | 0.171843i | −0.0274282 | − | 0.00979169i | ||||
\(309\) | −6.44559 | + | 10.7958i | −0.366677 | + | 0.614152i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −22.0568 | −1.25073 | −0.625363 | − | 0.780334i | \(-0.715049\pi\) | ||||
−0.625363 | + | 0.780334i | \(0.715049\pi\) | |||||||
\(312\) | 20.3335 | + | 5.56586i | 1.15116 | + | 0.315105i | ||||
\(313\) | 11.0357i | 0.623775i | 0.950119 | + | 0.311888i | \(0.100961\pi\) | ||||
−0.950119 | + | 0.311888i | \(0.899039\pi\) | |||||||
\(314\) | −10.6010 | + | 7.47177i | −0.598249 | + | 0.421656i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 5.45031 | + | 1.94573i | 0.306604 | + | 0.109456i | ||||
\(317\) | − | 24.3705i | − | 1.36878i | −0.729115 | − | 0.684391i | \(-0.760068\pi\) | ||
0.729115 | − | 0.684391i | \(-0.239932\pi\) | |||||||
\(318\) | −9.64441 | + | 0.731555i | −0.540832 | + | 0.0410236i | ||||
\(319\) | 2.81927i | 0.157849i | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −11.8027 | + | 19.7684i | −0.658760 | + | 1.10337i | ||||
\(322\) | 2.03383 | + | 2.88561i | 0.113341 | + | 0.160809i | ||||
\(323\) | 15.7097 | 0.874110 | ||||||||
\(324\) | 10.8320 | + | 14.3760i | 0.601776 | + | 0.798665i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 8.64919 | + | 12.2715i | 0.479035 | + | 0.679657i | ||||
\(327\) | −5.08001 | − | 3.03300i | −0.280925 | − | 0.167725i | ||||
\(328\) | −14.3937 | + | 4.00000i | −0.794758 | + | 0.220863i | ||||
\(329\) | 5.23151i | 0.288423i | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 13.1925 | 0.725128 | 0.362564 | − | 0.931959i | \(-0.381901\pi\) | ||||
0.362564 | + | 0.931959i | \(0.381901\pi\) | |||||||
\(332\) | −2.26628 | + | 6.34822i | −0.124378 | + | 0.348404i | ||||
\(333\) | −12.0920 | − | 22.4368i | −0.662636 | − | 1.22953i | ||||
\(334\) | 10.8647 | + | 15.4149i | 0.594491 | + | 0.843467i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 5.19475 | − | 1.87723i | 0.283397 | − | 0.102411i | ||||
\(337\) | 27.4876i | 1.49734i | 0.662941 | + | 0.748672i | \(0.269308\pi\) | ||||
−0.662941 | + | 0.748672i | \(0.730692\pi\) | |||||||
\(338\) | 6.37834 | − | 4.49557i | 0.346936 | − | 0.244527i | ||||
\(339\) | 9.07977 | − | 15.2078i | 0.493146 | − | 0.825976i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −3.17521 | −0.171947 | ||||||||
\(342\) | −23.1814 | − | 11.5585i | −1.25351 | − | 0.625015i | ||||
\(343\) | 10.6548 | 0.575305 | ||||||||
\(344\) | 8.10546 | − | 2.25251i | 0.437017 | − | 0.121447i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 11.3225 | + | 16.0645i | 0.608703 | + | 0.863632i | ||||
\(347\) | 10.9731 | 0.589067 | 0.294533 | − | 0.955641i | \(-0.404836\pi\) | ||||
0.294533 | + | 0.955641i | \(0.404836\pi\) | |||||||
\(348\) | −19.3856 | − | 23.5044i | −1.03918 | − | 1.25997i | ||||
\(349\) | − | 31.6066i | − | 1.69186i | −0.533291 | − | 0.845932i | \(-0.679045\pi\) | ||
0.533291 | − | 0.845932i | \(-0.320955\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 22.3387 | + | 0.982124i | 1.19235 | + | 0.0524219i | ||||
\(352\) | 0.130140 | − | 1.80862i | 0.00693651 | − | 0.0963997i | ||||
\(353\) | −21.4646 | −1.14244 | −0.571222 | − | 0.820795i | \(-0.693531\pi\) | ||||
−0.571222 | + | 0.820795i | \(0.693531\pi\) | |||||||
\(354\) | 30.4787 | − | 2.31189i | 1.61992 | − | 0.122876i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −25.9040 | − | 9.24757i | −1.37291 | − | 0.490120i | ||||
\(357\) | −1.82142 | + | 3.05072i | −0.0963996 | + | 0.161461i | ||||
\(358\) | −4.22695 | − | 5.99722i | −0.223401 | − | 0.316963i | ||||
\(359\) | −34.3124 | −1.81094 | −0.905468 | − | 0.424414i | \(-0.860480\pi\) | ||||
−0.905468 | + | 0.424414i | \(0.860480\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 18.2766 | 0.961929 | ||||||||
\(362\) | −2.11683 | − | 3.00337i | −0.111258 | − | 0.157854i | ||||
\(363\) | 9.67567 | − | 16.2059i | 0.507841 | − | 0.850590i | ||||
\(364\) | 2.30693 | − | 6.46211i | 0.120916 | − | 0.338706i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 21.5753 | − | 1.63655i | 1.12776 | − | 0.0855436i | ||||
\(367\) | 27.9901 | 1.46107 | 0.730536 | − | 0.682874i | \(-0.239270\pi\) | ||||
0.730536 | + | 0.682874i | \(0.239270\pi\) | |||||||
\(368\) | −7.93157 | + | 9.69307i | −0.413462 | + | 0.505286i | ||||
\(369\) | −13.9486 | + | 7.51739i | −0.726136 | + | 0.391340i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 3.14805i | 0.163439i | ||||||||
\(372\) | 26.4719 | − | 21.8331i | 1.37250 | − | 1.13199i | ||||
\(373\) | −13.9134 | −0.720408 | −0.360204 | − | 0.932873i | \(-0.617293\pi\) | ||||
−0.360204 | + | 0.932873i | \(0.617293\pi\) | |||||||
\(374\) | 0.671981 | + | 0.953410i | 0.0347473 | + | 0.0492997i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −17.8822 | + | 4.96947i | −0.922206 | + | 0.256281i | ||||
\(377\) | −37.8477 | −1.94925 | ||||||||
\(378\) | 4.93231 | − | 3.16156i | 0.253690 | − | 0.162613i | ||||
\(379\) | −7.79853 | −0.400583 | −0.200292 | − | 0.979736i | \(-0.564189\pi\) | ||||
−0.200292 | + | 0.979736i | \(0.564189\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −4.43058 | + | 7.42084i | −0.226985 | + | 0.380181i | ||||
\(382\) | −14.1668 | + | 9.98499i | −0.724835 | + | 0.510877i | ||||
\(383\) | 27.8386i | 1.42248i | 0.702947 | + | 0.711242i | \(0.251867\pi\) | ||||
−0.702947 | + | 0.711242i | \(0.748133\pi\) | |||||||
\(384\) | 11.3512 | + | 15.9734i | 0.579266 | + | 0.815139i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −6.73155 | − | 9.55077i | −0.342627 | − | 0.486121i | ||||
\(387\) | 7.85484 | − | 4.23324i | 0.399284 | − | 0.215188i | ||||
\(388\) | −8.02834 | − | 2.86607i | −0.407577 | − | 0.145503i | ||||
\(389\) | −18.5246 | −0.939234 | −0.469617 | − | 0.882870i | \(-0.655608\pi\) | ||||
−0.469617 | + | 0.882870i | \(0.655608\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 8.05661i | − | 0.407440i | ||||||
\(392\) | 4.81988 | + | 17.3439i | 0.243441 | + | 0.876001i | ||||
\(393\) | 13.2759 | + | 7.92631i | 0.669679 | + | 0.399829i | ||||
\(394\) | 8.80738 | + | 12.4960i | 0.443710 | + | 0.629538i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −0.290104 | − | 1.90128i | −0.0145783 | − | 0.0955431i | ||||
\(397\) | 4.97814 | 0.249846 | 0.124923 | − | 0.992166i | \(-0.460132\pi\) | ||||
0.124923 | + | 0.992166i | \(0.460132\pi\) | |||||||
\(398\) | −4.65446 | − | 6.60378i | −0.233307 | − | 0.331017i | ||||
\(399\) | −4.32194 | + | 7.23888i | −0.216368 | + | 0.362397i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | − | 16.8094i | − | 0.839422i | −0.907658 | − | 0.419711i | \(-0.862132\pi\) | ||
0.907658 | − | 0.419711i | \(-0.137868\pi\) | |||||||
\(402\) | 11.3999 | − | 0.864717i | 0.568578 | − | 0.0431282i | ||||
\(403\) | − | 42.6260i | − | 2.12335i | ||||||
\(404\) | 10.2968 | − | 28.8432i | 0.512287 | − | 1.43500i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −8.10546 | + | 5.71287i | −0.402267 | + | 0.283525i | ||||
\(407\) | 2.72336i | 0.134992i | ||||||||
\(408\) | −12.1581 | − | 3.32802i | −0.601914 | − | 0.164762i | ||||
\(409\) | 17.6053 | 0.870527 | 0.435264 | − | 0.900303i | \(-0.356655\pi\) | ||||
0.435264 | + | 0.900303i | \(0.356655\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −1.43808 | + | 2.40866i | −0.0709353 | + | 0.118811i | ||||
\(412\) | −4.88137 | + | 13.6735i | −0.240488 | + | 0.673646i | ||||
\(413\) | − | 9.94862i | − | 0.489540i | ||||||
\(414\) | −5.92773 | + | 11.8885i | −0.291332 | + | 0.584286i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 24.2800 | + | 1.74709i | 1.19043 | + | 0.0856580i | ||||
\(417\) | −3.18544 | + | 5.33533i | −0.155991 | + | 0.261272i | ||||
\(418\) | 1.59451 | + | 2.26230i | 0.0779899 | + | 0.110653i | ||||
\(419\) | − | 13.3408i | − | 0.651741i | −0.945414 | − | 0.325870i | \(-0.894343\pi\) | ||
0.945414 | − | 0.325870i | \(-0.105657\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 16.7650i | 0.817074i | 0.912742 | + | 0.408537i | \(0.133961\pi\) | ||||
−0.912742 | + | 0.408537i | \(0.866039\pi\) | |||||||
\(422\) | −9.42887 | + | 6.64563i | −0.458990 | + | 0.323504i | ||||
\(423\) | −17.3293 | + | 9.33936i | −0.842580 | + | 0.454095i | ||||
\(424\) | −10.7606 | + | 2.99037i | −0.522581 | + | 0.145225i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −0.635613 | − | 8.37957i | −0.0307955 | − | 0.405991i | ||||
\(427\) | − | 7.04245i | − | 0.340808i | ||||||
\(428\) | −8.93839 | + | 25.0379i | −0.432053 | + | 1.21025i | ||||
\(429\) | −2.05138 | − | 1.22476i | −0.0990413 | − | 0.0591322i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −28.9911 | −1.39645 | −0.698225 | − | 0.715878i | \(-0.746027\pi\) | ||||
−0.698225 | + | 0.715878i | \(0.746027\pi\) | |||||||
\(432\) | 15.4920 | + | 13.8563i | 0.745360 | + | 0.666662i | ||||
\(433\) | 23.6484i | 1.13647i | 0.822866 | + | 0.568235i | \(0.192374\pi\) | ||||
−0.822866 | + | 0.568235i | \(0.807626\pi\) | |||||||
\(434\) | −6.43414 | − | 9.12880i | −0.308849 | − | 0.438196i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −6.43414 | − | 2.29695i | −0.308139 | − | 0.110004i | ||||
\(437\) | − | 19.1171i | − | 0.914495i | ||||||
\(438\) | 3.49462 | − | 0.265076i | 0.166979 | − | 0.0126658i | ||||
\(439\) | 7.85724i | 0.375006i | 0.982264 | + | 0.187503i | \(0.0600394\pi\) | ||||
−0.982264 | + | 0.187503i | \(0.939961\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 9.05822 | + | 16.8077i | 0.431344 | + | 0.800365i | ||||
\(442\) | −12.7992 | + | 9.02109i | −0.608795 | + | 0.429089i | ||||
\(443\) | −12.9805 | −0.616721 | −0.308360 | − | 0.951270i | \(-0.599780\pi\) | ||||
−0.308360 | + | 0.951270i | \(0.599780\pi\) | |||||||
\(444\) | −18.7261 | − | 22.7047i | −0.888700 | − | 1.07752i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −23.8222 | + | 16.7903i | −1.12801 | + | 0.795044i | ||||
\(447\) | 2.05431 | − | 3.44079i | 0.0971655 | − | 0.162744i | ||||
\(448\) | 5.46352 | − | 3.29076i | 0.258127 | − | 0.155474i | ||||
\(449\) | − | 13.4847i | − | 0.636383i | −0.948026 | − | 0.318191i | \(-0.896925\pi\) | ||
0.948026 | − | 0.318191i | \(-0.103075\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.69307 | 0.0797234 | ||||||||
\(452\) | 6.87629 | − | 19.2616i | 0.323434 | − | 0.905991i | ||||
\(453\) | −5.12097 | − | 3.05745i | −0.240604 | − | 0.143652i | ||||
\(454\) | 31.2156 | − | 22.0013i | 1.46502 | − | 1.03257i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −28.8492 | − | 7.89688i | −1.35099 | − | 0.369805i | ||||
\(457\) | − | 28.1014i | − | 1.31453i | −0.753660 | − | 0.657265i | \(-0.771713\pi\) | ||
0.753660 | − | 0.657265i | \(-0.228287\pi\) | |||||||
\(458\) | 7.86307 | + | 11.1562i | 0.367417 | + | 0.521294i | ||||
\(459\) | −13.3571 | − | 0.587246i | −0.623455 | − | 0.0274103i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 29.2170 | 1.36077 | 0.680386 | − | 0.732854i | \(-0.261812\pi\) | ||||
0.680386 | + | 0.732854i | \(0.261812\pi\) | |||||||
\(462\) | −0.624194 | + | 0.0473468i | −0.0290401 | + | 0.00220277i | ||||
\(463\) | 14.1463 | 0.657434 | 0.328717 | − | 0.944429i | \(-0.393384\pi\) | ||||
0.328717 | + | 0.944429i | \(0.393384\pi\) | |||||||
\(464\) | −27.2271 | − | 22.2792i | −1.26399 | − | 1.03429i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.49217 | − | 1.05171i | 0.0691233 | − | 0.0487193i | ||||
\(467\) | 28.9687 | 1.34051 | 0.670255 | − | 0.742131i | \(-0.266185\pi\) | ||||
0.670255 | + | 0.742131i | \(0.266185\pi\) | |||||||
\(468\) | 25.5240 | − | 3.89454i | 1.17985 | − | 0.180025i | ||||
\(469\) | − | 3.72108i | − | 0.171824i | ||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −8.14279 | + | 13.6385i | −0.375200 | + | 0.628427i | ||||
\(472\) | 34.0062 | − | 9.45031i | 1.56526 | − | 0.434986i | ||||
\(473\) | −0.953410 | −0.0438379 | ||||||||
\(474\) | 7.06755 | − | 0.536093i | 0.324623 | − | 0.0246235i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −1.37939 | + | 3.86391i | −0.0632245 | + | 0.177102i | ||||
\(477\) | −10.4279 | + | 5.61995i | −0.477460 | + | 0.257320i | ||||
\(478\) | −4.86760 | + | 3.43077i | −0.222639 | + | 0.156920i | ||||
\(479\) | 37.9040 | 1.73188 | 0.865939 | − | 0.500150i | \(-0.166722\pi\) | ||||
0.865939 | + | 0.500150i | \(0.166722\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −36.5600 | −1.66699 | ||||||||
\(482\) | −22.6202 | + | 15.9431i | −1.03032 | + | 0.726190i | ||||
\(483\) | 3.71241 | + | 2.21648i | 0.168921 | + | 0.100853i | ||||
\(484\) | 7.32758 | − | 20.5258i | 0.333072 | − | 0.932989i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 19.2778 | + | 10.6941i | 0.874461 | + | 0.485096i | ||||
\(487\) | 41.9180 | 1.89949 | 0.949743 | − | 0.313031i | \(-0.101344\pi\) | ||||
0.949743 | + | 0.313031i | \(0.101344\pi\) | |||||||
\(488\) | 24.0723 | − | 6.68970i | 1.08970 | − | 0.302828i | ||||
\(489\) | 15.7877 | + | 9.42595i | 0.713942 | + | 0.426256i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 5.09691i | − | 0.230020i | −0.993364 | − | 0.115010i | \(-0.963310\pi\) | ||
0.993364 | − | 0.115010i | \(-0.0366901\pi\) | |||||||
\(492\) | −14.1152 | + | 11.6417i | −0.636361 | + | 0.524848i | ||||
\(493\) | 22.6304 | 1.01922 | ||||||||
\(494\) | −30.3705 | + | 21.4056i | −1.36643 | + | 0.963086i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 25.0920 | − | 30.6646i | 1.12666 | − | 1.37688i | ||||
\(497\) | −2.73519 | −0.122690 | ||||||||
\(498\) | 0.624411 | + | 8.23188i | 0.0279805 | + | 0.368880i | ||||
\(499\) | 27.3821 | 1.22579 | 0.612896 | − | 0.790164i | \(-0.290005\pi\) | ||||
0.612896 | + | 0.790164i | \(0.290005\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 19.8317 | + | 11.8404i | 0.886016 | + | 0.528992i | ||||
\(502\) | 14.2851 | + | 20.2678i | 0.637575 | + | 0.904596i | ||||
\(503\) | 21.7572i | 0.970104i | 0.874485 | + | 0.485052i | \(0.161199\pi\) | ||||
−0.874485 | + | 0.485052i | \(0.838801\pi\) | |||||||
\(504\) | 4.87837 | − | 4.68675i | 0.217300 | − | 0.208764i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 1.16020 | − | 0.817733i | 0.0515774 | − | 0.0363527i | ||||
\(507\) | 4.89930 | − | 8.20591i | 0.217586 | − | 0.364437i | ||||
\(508\) | −3.35536 | + | 9.39893i | −0.148870 | + | 0.417010i | ||||
\(509\) | −25.0061 | −1.10837 | −0.554187 | − | 0.832392i | \(-0.686971\pi\) | ||||
−0.554187 | + | 0.832392i | \(0.686971\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | − | 1.14069i | − | 0.0504610i | ||||||
\(512\) | 16.4383 | + | 15.5494i | 0.726476 | + | 0.687192i | ||||
\(513\) | −31.6943 | − | 1.39344i | −1.39934 | − | 0.0615220i | ||||
\(514\) | −1.34763 | + | 0.949833i | −0.0594414 | + | 0.0418953i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 7.94862 | − | 6.55574i | 0.349919 | − | 0.288600i | ||||
\(517\) | 2.10341 | 0.0925079 | ||||||||
\(518\) | −7.82970 | + | 5.51851i | −0.344017 | + | 0.242470i | ||||
\(519\) | 20.6674 | + | 12.3394i | 0.907197 | + | 0.541638i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 26.3235i | − | 1.15325i | −0.817007 | − | 0.576627i | \(-0.804369\pi\) | ||
0.817007 | − | 0.576627i | \(-0.195631\pi\) | |||||||
\(522\) | −33.3938 | − | 16.6505i | −1.46161 | − | 0.728775i | ||||
\(523\) | 23.5435i | 1.02949i | 0.857344 | + | 0.514744i | \(0.172113\pi\) | ||||
−0.857344 | + | 0.514744i | \(0.827887\pi\) | |||||||
\(524\) | 16.8147 | + | 6.00275i | 0.734553 | + | 0.262231i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −12.5360 | − | 17.7862i | −0.546597 | − | 0.775516i | ||||
\(527\) | 25.4876i | 1.11026i | ||||||||
\(528\) | −0.754768 | − | 2.08863i | −0.0328471 | − | 0.0908960i | ||||
\(529\) | 13.1959 | 0.573735 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 32.9547 | − | 17.7604i | 1.43011 | − | 0.770736i | ||||
\(532\) | −3.27309 | + | 9.16847i | −0.141907 | + | 0.397504i | ||||
\(533\) | 22.7288i | 0.984492i | ||||||||
\(534\) | −33.5903 | + | 2.54792i | −1.45360 | + | 0.110259i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 12.7193 | − | 3.53470i | 0.549391 | − | 0.152676i | ||||
\(537\) | −7.71558 | − | 4.60656i | −0.332952 | − | 0.198788i | ||||
\(538\) | 3.26530 | − | 2.30144i | 0.140777 | − | 0.0992223i | ||||
\(539\) | − | 2.04009i | − | 0.0878730i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 18.2576i | − | 0.784955i | −0.919762 | − | 0.392478i | \(-0.871618\pi\) | ||
0.919762 | − | 0.392478i | \(-0.128382\pi\) | |||||||
\(542\) | −3.17524 | − | 4.50505i | −0.136388 | − | 0.193509i | ||||
\(543\) | −3.86391 | − | 2.30693i | −0.165816 | − | 0.0990000i | ||||
\(544\) | −14.5179 | − | 1.04464i | −0.622448 | − | 0.0447887i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −0.635613 | − | 8.37957i | −0.0272017 | − | 0.358612i | ||||
\(547\) | − | 6.40508i | − | 0.273862i | −0.990581 | − | 0.136931i | \(-0.956276\pi\) | ||
0.990581 | − | 0.136931i | \(-0.0437238\pi\) | |||||||
\(548\) | −1.08909 | + | 3.05072i | −0.0465235 | + | 0.130320i | ||||
\(549\) | 23.3280 | − | 12.5723i | 0.995616 | − | 0.536571i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 53.6985 | 2.28763 | ||||||||
\(552\) | −4.04987 | + | 14.7952i | −0.172374 | + | 0.629724i | ||||
\(553\) | − | 2.30693i | − | 0.0981008i | ||||||
\(554\) | −25.2516 | + | 17.7978i | −1.07284 | + | 0.756156i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −2.41239 | + | 6.75752i | −0.102308 | + | 0.286583i | ||||
\(557\) | − | 7.79582i | − | 0.330319i | −0.986267 | − | 0.165160i | \(-0.947186\pi\) | ||
0.986267 | − | 0.165160i | \(-0.0528140\pi\) | |||||||
\(558\) | 18.7527 | − | 37.6099i | 0.793866 | − | 1.59215i | ||||
\(559\) | − | 12.7992i | − | 0.541347i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.22659 | + | 0.732329i | 0.0517866 | + | 0.0309190i | ||||
\(562\) | −16.8813 | − | 23.9513i | −0.712096 | − | 1.01033i | ||||
\(563\) | −4.37399 | −0.184342 | −0.0921709 | − | 0.995743i | \(-0.529381\pi\) | ||||
−0.0921709 | + | 0.995743i | \(0.529381\pi\) | |||||||
\(564\) | −17.5362 | + | 14.4633i | −0.738409 | + | 0.609013i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −1.00750 | − | 1.42945i | −0.0423485 | − | 0.0600844i | ||||
\(567\) | 3.94531 | − | 5.99326i | 0.165687 | − | 0.251693i | ||||
\(568\) | −2.59819 | − | 9.34938i | −0.109018 | − | 0.392291i | ||||
\(569\) | 21.8198i | 0.914735i | 0.889278 | + | 0.457368i | \(0.151208\pi\) | ||||
−0.889278 | + | 0.457368i | \(0.848792\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 1.42806 | 0.0597625 | 0.0298813 | − | 0.999553i | \(-0.490487\pi\) | ||||
0.0298813 | + | 0.999553i | \(0.490487\pi\) | |||||||
\(572\) | −2.59819 | − | 0.927539i | −0.108636 | − | 0.0387823i | ||||
\(573\) | −10.8817 | + | 18.2259i | −0.454590 | + | 0.761399i | ||||
\(574\) | 3.43077 | + | 4.86760i | 0.143198 | + | 0.203170i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 20.6542 | + | 12.2231i | 0.860590 | + | 0.509298i | ||||
\(577\) | 43.3548i | 1.80488i | 0.430812 | + | 0.902442i | \(0.358227\pi\) | ||||
−0.430812 | + | 0.902442i | \(0.641773\pi\) | |||||||
\(578\) | −11.9980 | + | 8.45642i | −0.499052 | + | 0.351741i | ||||
\(579\) | −12.2873 | − | 7.33609i | −0.510644 | − | 0.304878i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 2.68699 | 0.111475 | ||||||||
\(582\) | −10.4105 | + | 0.789668i | −0.431531 | + | 0.0327328i | ||||
\(583\) | 1.26572 | 0.0524209 | ||||||||
\(584\) | 3.89907 | − | 1.08355i | 0.161345 | − | 0.0448377i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −4.88839 | − | 6.93568i | −0.201938 | − | 0.286510i | ||||
\(587\) | 6.88810 | 0.284302 | 0.142151 | − | 0.989845i | \(-0.454598\pi\) | ||||
0.142151 | + | 0.989845i | \(0.454598\pi\) | |||||||
\(588\) | 14.0279 | + | 17.0083i | 0.578500 | + | 0.701412i | ||||
\(589\) | 60.4781i | 2.49196i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 16.0764 | + | 9.59835i | 0.661295 | + | 0.394823i | ||||
\(592\) | −26.3008 | − | 21.5212i | −1.08096 | − | 0.884517i | ||||
\(593\) | −0.894469 | −0.0367314 | −0.0183657 | − | 0.999831i | \(-0.505846\pi\) | ||||
−0.0183657 | + | 0.999831i | \(0.505846\pi\) | |||||||
\(594\) | −1.27115 | − | 1.98311i | −0.0521561 | − | 0.0813680i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 1.55577 | − | 4.35797i | 0.0637268 | − | 0.178509i | ||||
\(597\) | −8.49593 | − | 5.07246i | −0.347715 | − | 0.207602i | ||||
\(598\) | 10.9778 | + | 15.5753i | 0.448914 | + | 0.636922i | ||||
\(599\) | 11.5836 | 0.473292 | 0.236646 | − | 0.971596i | \(-0.423952\pi\) | ||||
0.236646 | + | 0.971596i | \(0.423952\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 24.9480 | 1.01765 | 0.508824 | − | 0.860870i | \(-0.330080\pi\) | ||||
0.508824 | + | 0.860870i | \(0.330080\pi\) | |||||||
\(602\) | −1.93196 | − | 2.74107i | −0.0787407 | − | 0.111718i | ||||
\(603\) | 12.3260 | − | 6.64292i | 0.501955 | − | 0.270521i | ||||
\(604\) | −6.48602 | − | 2.31547i | −0.263912 | − | 0.0942151i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −2.83701 | − | 37.4016i | −0.115246 | − | 1.51934i | ||||
\(607\) | −21.8741 | −0.887843 | −0.443922 | − | 0.896066i | \(-0.646413\pi\) | ||||
−0.443922 | + | 0.896066i | \(0.646413\pi\) | |||||||
\(608\) | −34.4486 | − | 2.47878i | −1.39708 | − | 0.100528i | ||||
\(609\) | −6.22593 | + | 10.4279i | −0.252287 | + | 0.422560i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 28.2375i | 1.14237i | ||||||||
\(612\) | −15.2617 | + | 2.32868i | −0.616917 | + | 0.0941313i | ||||
\(613\) | 25.8339 | 1.04342 | 0.521711 | − | 0.853122i | \(-0.325294\pi\) | ||||
0.521711 | + | 0.853122i | \(0.325294\pi\) | |||||||
\(614\) | 5.47398 | + | 7.76652i | 0.220912 | + | 0.313431i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.696435 | + | 0.193539i | −0.0280602 | + | 0.00779792i | ||||
\(617\) | −27.5641 | −1.10969 | −0.554845 | − | 0.831954i | \(-0.687222\pi\) | ||||
−0.554845 | + | 0.831954i | \(0.687222\pi\) | |||||||
\(618\) | 1.34493 | + | 17.7308i | 0.0541010 | + | 0.713237i | ||||
\(619\) | −22.2136 | −0.892841 | −0.446421 | − | 0.894823i | \(-0.647301\pi\) | ||||
−0.446421 | + | 0.894823i | \(0.647301\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −0.714619 | + | 16.2542i | −0.0286767 | + | 0.652259i | ||||
\(622\) | −25.4965 | + | 17.9704i | −1.02232 | + | 0.720546i | ||||
\(623\) | 10.9643i | 0.439275i | ||||||||
\(624\) | 28.0391 | − | 10.1325i | 1.12246 | − | 0.405624i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 8.99114 | + | 12.7567i | 0.359358 | + | 0.509860i | ||||
\(627\) | 2.91050 | + | 1.73770i | 0.116234 | + | 0.0693972i | ||||
\(628\) | −6.16669 | + | 17.2739i | −0.246078 | + | 0.689305i | ||||
\(629\) | 21.8605 | 0.871635 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 26.2225i | 1.04390i | 0.852975 | + | 0.521951i | \(0.174796\pi\) | ||||
−0.852975 | + | 0.521951i | \(0.825204\pi\) | |||||||
\(632\) | 7.88551 | − | 2.19138i | 0.313669 | − | 0.0871685i | ||||
\(633\) | −7.24246 | + | 12.1305i | −0.287862 | + | 0.482144i | ||||
\(634\) | −19.8554 | − | 28.1710i | −0.788558 | − | 1.11881i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −10.5524 | + | 8.70324i | −0.418430 | + | 0.345106i | ||||
\(637\) | 27.3875 | 1.08513 | ||||||||
\(638\) | 2.29695 | + | 3.25893i | 0.0909371 | + | 0.129022i | ||||
\(639\) | −4.88290 | − | 9.06030i | −0.193165 | − | 0.358420i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 47.0436i | 1.85811i | 0.369940 | + | 0.929056i | \(0.379378\pi\) | ||||
−0.369940 | + | 0.929056i | \(0.620622\pi\) | |||||||
\(642\) | 2.46273 | + | 32.4673i | 0.0971962 | + | 1.28138i | ||||
\(643\) | 18.1696i | 0.716538i | 0.933618 | + | 0.358269i | \(0.116633\pi\) | ||||
−0.933618 | + | 0.358269i | \(0.883367\pi\) | |||||||
\(644\) | 4.70200 | + | 1.67859i | 0.185285 | + | 0.0661455i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 18.1595 | − | 12.7992i | 0.714478 | − | 0.503577i | ||||
\(647\) | 36.9324i | 1.45196i | 0.687715 | + | 0.725981i | \(0.258614\pi\) | ||||
−0.687715 | + | 0.725981i | \(0.741386\pi\) | |||||||
\(648\) | 24.2337 | + | 7.79270i | 0.951991 | + | 0.306126i | ||||
\(649\) | −4.00000 | −0.157014 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −11.7444 | − | 7.01197i | −0.460301 | − | 0.274821i | ||||
\(652\) | 19.9960 | + | 7.13846i | 0.783104 | + | 0.279564i | ||||
\(653\) | − | 1.11710i | − | 0.0437155i | −0.999761 | − | 0.0218577i | \(-0.993042\pi\) | ||
0.999761 | − | 0.0218577i | \(-0.00695809\pi\) | |||||||
\(654\) | −8.34330 | + | 0.632862i | −0.326249 | + | 0.0247469i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −13.3794 | + | 16.3508i | −0.522378 | + | 0.638390i | ||||
\(657\) | 3.77851 | − | 2.03637i | 0.147414 | − | 0.0794463i | ||||
\(658\) | 4.26228 | + | 6.04735i | 0.166161 | + | 0.235750i | ||||
\(659\) | − | 30.7865i | − | 1.19927i | −0.800273 | − | 0.599636i | \(-0.795312\pi\) | ||
0.800273 | − | 0.599636i | \(-0.204688\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 11.5686i | − | 0.449966i | −0.974363 | − | 0.224983i | \(-0.927767\pi\) | ||
0.974363 | − | 0.224983i | \(-0.0722326\pi\) | |||||||
\(662\) | 15.2499 | − | 10.7484i | 0.592703 | − | 0.417748i | ||||
\(663\) | −9.83124 | + | 16.4665i | −0.381814 | + | 0.639505i | ||||
\(664\) | 2.55240 | + | 9.18461i | 0.0990523 | + | 0.356432i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −32.2577 | − | 16.0841i | −1.24996 | − | 0.623245i | ||||
\(667\) | − | 27.5389i | − | 1.06631i | ||||||
\(668\) | 25.1181 | + | 8.96700i | 0.971847 | + | 0.346944i | ||||
\(669\) | −18.2982 | + | 30.6479i | −0.707449 | + | 1.18492i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −2.83153 | −0.109310 | ||||||||
\(672\) | 4.47542 | − | 6.40230i | 0.172643 | − | 0.246974i | ||||
\(673\) | − | 30.4072i | − | 1.17211i | −0.810271 | − | 0.586056i | \(-0.800680\pi\) | ||
0.810271 | − | 0.586056i | \(-0.199320\pi\) | |||||||
\(674\) | 22.3950 | + | 31.7742i | 0.862623 | + | 1.22389i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.71034 | − | 10.3933i | 0.142705 | − | 0.399741i | ||||
\(677\) | − | 29.9608i | − | 1.15149i | −0.817631 | − | 0.575743i | \(-0.804713\pi\) | ||
0.817631 | − | 0.575743i | \(-0.195287\pi\) | |||||||
\(678\) | −1.89458 | − | 24.9770i | −0.0727607 | − | 0.959237i | ||||
\(679\) | 3.39813i | 0.130408i | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 23.9772 | − | 40.1598i | 0.918809 | − | 1.53893i | ||||
\(682\) | −3.67038 | + | 2.58695i | −0.140546 | + | 0.0990593i | ||||
\(683\) | 30.8345 | 1.17985 | 0.589925 | − | 0.807458i | \(-0.299157\pi\) | ||||
0.589925 | + | 0.807458i | \(0.299157\pi\) | |||||||
\(684\) | −36.2136 | + | 5.52560i | −1.38466 | + | 0.211276i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 12.3164 | − | 8.68081i | 0.470242 | − | 0.331435i | ||||
\(687\) | 14.3527 | + | 8.56923i | 0.547590 | + | 0.326936i | ||||
\(688\) | 7.53429 | − | 9.20755i | 0.287242 | − | 0.351035i | ||||
\(689\) | 16.9919i | 0.647339i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −19.2293 | −0.731517 | −0.365758 | − | 0.930710i | \(-0.619190\pi\) | ||||
−0.365758 | + | 0.930710i | \(0.619190\pi\) | |||||||
\(692\) | 26.1765 | + | 9.34485i | 0.995080 | + | 0.355238i | ||||
\(693\) | −0.674901 | + | 0.363727i | −0.0256374 | + | 0.0138169i | ||||
\(694\) | 12.6843 | − | 8.94013i | 0.481490 | − | 0.339363i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −41.5585 | − | 11.3758i | −1.57527 | − | 0.431197i | ||||
\(697\) | − | 13.5903i | − | 0.514770i | ||||||
\(698\) | −25.7509 | − | 36.5356i | −0.974687 | − | 1.38289i | ||||
\(699\) | 1.14616 | − | 1.91971i | 0.0433516 | − | 0.0726102i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 25.8972 | 0.978126 | 0.489063 | − | 0.872249i | \(-0.337339\pi\) | ||||
0.489063 | + | 0.872249i | \(0.337339\pi\) | |||||||
\(702\) | 26.6225 | − | 17.0648i | 1.00480 | − | 0.644068i | ||||
\(703\) | 51.8716 | 1.95637 | ||||||||
\(704\) | −1.32310 | − | 2.19670i | −0.0498663 | − | 0.0827911i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −24.8119 | + | 17.4879i | −0.933809 | + | 0.658165i | ||||
\(707\) | −12.2083 | −0.459142 | ||||||||
\(708\) | 33.3482 | − | 27.5044i | 1.25330 | − | 1.03368i | ||||
\(709\) | 6.00828i | 0.225646i | 0.993615 | + | 0.112823i | \(0.0359893\pi\) | ||||
−0.993615 | + | 0.112823i | \(0.964011\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 7.64169 | − | 4.11837i | 0.286586 | − | 0.154451i | ||||
\(712\) | −37.4779 | + | 10.4151i | −1.40454 | + | 0.390322i | ||||
\(713\) | 31.0158 | 1.16155 | ||||||||
\(714\) | 0.380055 | + | 5.01043i | 0.0142232 | + | 0.187511i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −9.77225 | − | 3.48864i | −0.365206 | − | 0.130376i | ||||
\(717\) | −3.73888 | + | 6.26230i | −0.139631 | + | 0.233870i | ||||
\(718\) | −39.6632 | + | 27.9554i | −1.48022 | + | 1.04328i | ||||
\(719\) | −3.34264 | −0.124659 | −0.0623297 | − | 0.998056i | \(-0.519853\pi\) | ||||
−0.0623297 | + | 0.998056i | \(0.519853\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.78755 | 0.215540 | ||||||||
\(722\) | 21.1268 | − | 14.8906i | 0.786259 | − | 0.554169i | ||||
\(723\) | −17.3749 | + | 29.1015i | −0.646181 | + | 1.08230i | ||||
\(724\) | −4.89388 | − | 1.74709i | −0.181880 | − | 0.0649300i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −2.01891 | − | 26.6162i | −0.0749289 | − | 0.987821i | ||||
\(727\) | 15.4120 | 0.571600 | 0.285800 | − | 0.958289i | \(-0.407741\pi\) | ||||
0.285800 | + | 0.958289i | \(0.407741\pi\) | |||||||
\(728\) | −2.59819 | − | 9.34938i | −0.0962953 | − | 0.346511i | ||||
\(729\) | 26.8958 | + | 2.36954i | 0.996142 | + | 0.0877607i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 7.65306i | 0.283059i | ||||||||
\(732\) | 23.6066 | − | 19.4698i | 0.872523 | − | 0.719626i | ||||
\(733\) | −42.7008 | −1.57719 | −0.788594 | − | 0.614914i | \(-0.789191\pi\) | ||||
−0.788594 | + | 0.614914i | \(0.789191\pi\) | |||||||
\(734\) | 32.3551 | − | 22.8044i | 1.19425 | − | 0.841727i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.27123 | + | 17.6668i | −0.0468580 | + | 0.651206i | ||||
\(737\) | −1.49612 | −0.0551103 | ||||||||
\(738\) | −9.99921 | + | 20.0541i | −0.368076 | + | 0.738201i | ||||
\(739\) | −30.4546 | −1.12029 | −0.560145 | − | 0.828395i | \(-0.689254\pi\) | ||||
−0.560145 | + | 0.828395i | \(0.689254\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −23.3280 | + | 39.0724i | −0.856976 | + | 1.43536i | ||||
\(742\) | 2.56482 | + | 3.63898i | 0.0941575 | + | 0.133591i | ||||
\(743\) | − | 49.8954i | − | 1.83048i | −0.402906 | − | 0.915242i | \(-0.632000\pi\) | ||
0.402906 | − | 0.915242i | \(-0.368000\pi\) | |||||||
\(744\) | 12.8120 | − | 46.8054i | 0.469710 | − | 1.71597i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −16.0831 | + | 11.3357i | −0.588846 | + | 0.415029i | ||||
\(747\) | 4.79685 | + | 8.90062i | 0.175507 | + | 0.325657i | ||||
\(748\) | 1.55355 | + | 0.554607i | 0.0568033 | + | 0.0202785i | ||||
\(749\) | 10.5977 | 0.387232 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.81321i | 0.139146i | 0.997577 | + | 0.0695730i | \(0.0221637\pi\) | ||||
−0.997577 | + | 0.0695730i | \(0.977836\pi\) | |||||||
\(752\) | −16.6221 | + | 20.3137i | −0.606147 | + | 0.740763i | ||||
\(753\) | 26.0750 | + | 15.5680i | 0.950228 | + | 0.567329i | ||||
\(754\) | −43.7499 | + | 30.8357i | −1.59328 | + | 1.12297i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 3.12566 | − | 7.67310i | 0.113679 | − | 0.279068i | ||||
\(757\) | 38.1793 | 1.38765 | 0.693825 | − | 0.720144i | \(-0.255924\pi\) | ||||
0.693825 | + | 0.720144i | \(0.255924\pi\) | |||||||
\(758\) | −9.01468 | + | 6.35371i | −0.327428 | + | 0.230777i | ||||
\(759\) | 0.891171 | − | 1.49263i | 0.0323475 | − | 0.0541792i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | − | 10.7460i | − | 0.389543i | −0.980849 | − | 0.194772i | \(-0.937603\pi\) | ||
0.980849 | − | 0.194772i | \(-0.0623966\pi\) | |||||||
\(762\) | 0.924479 | + | 12.1878i | 0.0334904 | + | 0.441518i | ||||
\(763\) | 2.72336i | 0.0985921i | ||||||||
\(764\) | −8.24094 | + | 23.0842i | −0.298147 | + | 0.835158i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 22.6810 | + | 32.1799i | 0.819496 | + | 1.16271i | ||||
\(767\) | − | 53.6985i | − | 1.93894i | ||||||
\(768\) | 26.1355 | + | 9.21616i | 0.943082 | + | 0.332559i | ||||
\(769\) | −1.13172 | −0.0408109 | −0.0204055 | − | 0.999792i | \(-0.506496\pi\) | ||||
−0.0204055 | + | 0.999792i | \(0.506496\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1.03513 | + | 1.73376i | −0.0372795 | + | 0.0624399i | ||||
\(772\) | −15.5626 | − | 5.55577i | −0.560111 | − | 0.199957i | ||||
\(773\) | − | 13.7144i | − | 0.493274i | −0.969108 | − | 0.246637i | \(-0.920675\pi\) | ||
0.969108 | − | 0.246637i | \(-0.0793255\pi\) | |||||||
\(774\) | 5.63082 | − | 11.2930i | 0.202396 | − | 0.405918i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −11.6154 | + | 3.22792i | −0.416969 | + | 0.115876i | ||||
\(777\) | −6.01411 | + | 10.0731i | −0.215755 | + | 0.361371i | ||||
\(778\) | −21.4134 | + | 15.0926i | −0.767709 | + | 0.541095i | ||||
\(779\) | − | 32.2477i | − | 1.15539i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.09973i | 0.0393513i | ||||||||
\(782\) | −6.56398 | − | 9.31301i | −0.234727 | − | 0.333033i | ||||
\(783\) | −45.6569 | − | 2.00731i | −1.63164 | − | 0.0717354i | ||||
\(784\) | 19.7022 | + | 16.1218i | 0.703649 | + | 0.575777i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 21.8040 | − | 1.65389i | 0.777723 | − | 0.0589924i | ||||
\(787\) | − | 32.6374i | − | 1.16340i | −0.813405 | − | 0.581698i | \(-0.802388\pi\) | ||
0.813405 | − | 0.581698i | \(-0.197612\pi\) | |||||||
\(788\) | 20.3617 | + | 7.26902i | 0.725357 | + | 0.258948i | ||||
\(789\) | −22.8824 | − | 13.6619i | −0.814636 | − | 0.486375i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −8.15281 | −0.289880 | ||||||||
\(792\) | −1.88438 | − | 1.96143i | −0.0669586 | − | 0.0696962i | ||||
\(793\) | − | 38.0122i | − | 1.34985i | ||||||
\(794\) | 5.75446 | − | 4.05585i | 0.204218 | − | 0.143937i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −10.7606 | − | 3.84148i | −0.381400 | − | 0.136157i | ||||
\(797\) | 39.1293i | 1.38603i | 0.720923 | + | 0.693015i | \(0.243718\pi\) | ||||
−0.720923 | + | 0.693015i | \(0.756282\pi\) | |||||||
\(798\) | 0.901811 | + | 11.8890i | 0.0319238 | + | 0.420865i | ||||
\(799\) | − | 16.8842i | − | 0.597319i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −36.3191 | + | 19.5736i | −1.28327 | + | 0.691599i | ||||
\(802\) | −13.6952 | − | 19.4308i | −0.483593 | − | 0.686124i | ||||
\(803\) | −0.458631 | −0.0161847 | ||||||||
\(804\) | 12.4732 | − | 10.2875i | 0.439896 | − | 0.362811i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −34.7288 | − | 49.2734i | −1.22327 | − | 1.73558i | ||||
\(807\) | 2.50813 | − | 4.20090i | 0.0882903 | − | 0.147879i | ||||
\(808\) | −11.5968 | − | 41.7303i | −0.407976 | − | 1.46807i | ||||
\(809\) | − | 25.5481i | − | 0.898222i | −0.893476 | − | 0.449111i | \(-0.851741\pi\) | ||
0.893476 | − | 0.449111i | \(-0.148259\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 5.63898 | 0.198011 | 0.0990057 | − | 0.995087i | \(-0.468434\pi\) | ||||
0.0990057 | + | 0.995087i | \(0.468434\pi\) | |||||||
\(812\) | −4.71502 | + | 13.2076i | −0.165465 | + | 0.463494i | ||||
\(813\) | −5.79587 | − | 3.46040i | −0.203270 | − | 0.121362i | ||||
\(814\) | 2.21880 | + | 3.14805i | 0.0777691 | + | 0.110339i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −16.7655 | + | 6.05856i | −0.586911 | + | 0.212092i | ||||
\(817\) | 18.1595i | 0.635322i | ||||||||
\(818\) | 20.3508 | − | 14.3436i | 0.711549 | − | 0.501513i | ||||
\(819\) | −4.88290 | − | 9.06030i | −0.170622 | − | 0.316592i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −26.8248 | −0.936192 | −0.468096 | − | 0.883678i | \(-0.655060\pi\) | ||||
−0.468096 | + | 0.883678i | \(0.655060\pi\) | |||||||
\(822\) | 0.300068 | + | 3.95594i | 0.0104661 | + | 0.137979i | ||||
\(823\) | −8.35909 | −0.291379 | −0.145690 | − | 0.989330i | \(-0.546540\pi\) | ||||
−0.145690 | + | 0.989330i | \(0.546540\pi\) | |||||||
\(824\) | 5.49766 | + | 19.7829i | 0.191520 | + | 0.689169i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −8.10546 | − | 11.5001i | −0.282025 | − | 0.400139i | ||||
\(827\) | 6.27366 | 0.218156 | 0.109078 | − | 0.994033i | \(-0.465210\pi\) | ||||
0.109078 | + | 0.994033i | \(0.465210\pi\) | |||||||
\(828\) | 2.83377 | + | 18.5719i | 0.0984803 | + | 0.645419i | ||||
\(829\) | 8.61230i | 0.299118i | 0.988753 | + | 0.149559i | \(0.0477853\pi\) | ||||
−0.988753 | + | 0.149559i | \(0.952215\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −19.3962 | + | 32.4869i | −0.672845 | + | 1.12696i | ||||
\(832\) | 29.4898 | − | 17.7622i | 1.02237 | − | 0.615792i | ||||
\(833\) | −16.3759 | −0.567392 | ||||||||
\(834\) | 0.664670 | + | 8.76263i | 0.0230156 | + | 0.303425i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 3.68633 | + | 1.31600i | 0.127494 | + | 0.0455147i | ||||
\(837\) | 2.26074 | − | 51.4212i | 0.0781426 | − | 1.77738i | ||||
\(838\) | −10.8692 | − | 15.4213i | −0.375469 | − | 0.532718i | ||||
\(839\) | 2.93969 | 0.101490 | 0.0507448 | − | 0.998712i | \(-0.483840\pi\) | ||||
0.0507448 | + | 0.998712i | \(0.483840\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 48.3548 | 1.66741 | ||||||||
\(842\) | 13.6589 | + | 19.3794i | 0.470718 | + | 0.667858i | ||||
\(843\) | −30.8140 | − | 18.3974i | −1.06129 | − | 0.633640i | ||||
\(844\) | −5.48486 | + | 15.3640i | −0.188796 | + | 0.528850i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −12.4227 | + | 24.9145i | −0.427101 | + | 0.856580i | ||||
\(847\) | −8.68787 | −0.298519 | ||||||||
\(848\) | −10.0023 | + | 12.2237i | −0.343482 | + | 0.419764i | ||||
\(849\) | −1.83903 | − | 1.09798i | −0.0631153 | − | 0.0376827i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − | 26.6020i | − | 0.911906i | ||||||
\(852\) | −7.56183 | − | 9.16847i | −0.259064 | − | 0.314107i | ||||
\(853\) | 34.2193 | 1.17165 | 0.585824 | − | 0.810439i | \(-0.300771\pi\) | ||||
0.585824 | + | 0.810439i | \(0.300771\pi\) | |||||||
\(854\) | −5.73770 | − | 8.14069i | −0.196340 | − | 0.278569i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 10.0669 | + | 36.2249i | 0.344079 | + | 1.23814i | ||||
\(857\) | −0.519916 | −0.0177600 | −0.00888000 | − | 0.999961i | \(-0.502827\pi\) | ||||
−0.00888000 | + | 0.999961i | \(0.502827\pi\) | |||||||
\(858\) | −3.36914 | + | 0.255558i | −0.115020 | + | 0.00872461i | ||||
\(859\) | 32.9724 | 1.12500 | 0.562502 | − | 0.826796i | \(-0.309839\pi\) | ||||
0.562502 | + | 0.826796i | \(0.309839\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 6.26230 | + | 3.73888i | 0.213418 | + | 0.127421i | ||||
\(862\) | −33.5121 | + | 23.6199i | −1.14143 | + | 0.804499i | ||||
\(863\) | − | 21.8453i | − | 0.743623i | −0.928308 | − | 0.371811i | \(-0.878737\pi\) | ||
0.928308 | − | 0.371811i | \(-0.121263\pi\) | |||||||
\(864\) | 29.1971 | + | 3.39530i | 0.993306 | + | 0.115510i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 19.2671 | + | 27.3363i | 0.654724 | + | 0.928926i | ||||
\(867\) | −9.21587 | + | 15.4358i | −0.312987 | + | 0.524227i | ||||
\(868\) | −14.8750 | − | 5.31030i | −0.504892 | − | 0.180243i | ||||
\(869\) | −0.927539 | −0.0314646 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 20.0848i | − | 0.680549i | ||||||
\(872\) | −9.30892 | + | 2.58695i | −0.315240 | + | 0.0876051i | ||||
\(873\) | −11.2563 | + | 6.06638i | −0.380967 | + | 0.205316i | ||||
\(874\) | −15.5753 | − | 22.0983i | −0.526843 | − | 0.747488i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 3.82363 | − | 3.15359i | 0.129188 | − | 0.106550i | ||||
\(877\) | −37.2187 | −1.25679 | −0.628393 | − | 0.777896i | \(-0.716287\pi\) | ||||
−0.628393 | + | 0.777896i | \(0.716287\pi\) | |||||||
\(878\) | 6.40155 | + | 9.08255i | 0.216042 | + | 0.306521i | ||||
\(879\) | −8.92294 | − | 5.32740i | −0.300963 | − | 0.179689i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 17.2984i | − | 0.582796i | −0.956602 | − | 0.291398i | \(-0.905880\pi\) | ||
0.956602 | − | 0.291398i | \(-0.0941205\pi\) | |||||||
\(882\) | 24.1646 | + | 12.0487i | 0.813663 | + | 0.405702i | ||||
\(883\) | − | 51.3234i | − | 1.72717i | −0.504203 | − | 0.863585i | \(-0.668214\pi\) | ||
0.504203 | − | 0.863585i | \(-0.331786\pi\) | |||||||
\(884\) | −7.44539 | + | 20.8558i | −0.250416 | + | 0.701456i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −15.0047 | + | 10.5756i | −0.504094 | + | 0.355294i | ||||
\(887\) | − | 15.3867i | − | 0.516635i | −0.966060 | − | 0.258318i | \(-0.916832\pi\) | ||
0.966060 | − | 0.258318i | \(-0.0831681\pi\) | |||||||
\(888\) | −40.1446 | − | 10.9887i | −1.34716 | − | 0.368758i | ||||
\(889\) | 3.97825 | 0.133426 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −2.40968 | − | 1.58627i | −0.0807275 | − | 0.0531421i | ||||
\(892\) | −13.8576 | + | 38.8174i | −0.463986 | + | 1.29970i | ||||
\(893\) | − | 40.0635i | − | 1.34067i | ||||||
\(894\) | −0.428650 | − | 5.65108i | −0.0143362 | − | 0.189000i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 3.63445 | − | 8.25525i | 0.121418 | − | 0.275789i | ||||
\(897\) | 20.0381 | + | 11.9636i | 0.669051 | + | 0.399454i | ||||
\(898\) | −10.9864 | − | 15.5876i | −0.366622 | − | 0.520165i | ||||
\(899\) | 87.1211i | 2.90565i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 10.1600i | − | 0.338479i | ||||||
\(902\) | 1.95709 | − | 1.37939i | 0.0651641 | − | 0.0459288i | ||||
\(903\) | −3.52646 | − | 2.10546i | −0.117353 | − | 0.0700653i | ||||
\(904\) | −7.74444 | − | 27.8678i | −0.257576 | − | 0.926868i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −8.41057 | + | 0.637965i | −0.279423 | + | 0.0211950i | ||||
\(907\) | 34.3304i | 1.13992i | 0.821671 | + | 0.569962i | \(0.193042\pi\) | ||||
−0.821671 | + | 0.569962i | \(0.806958\pi\) | |||||||
\(908\) | 18.1584 | − | 50.8648i | 0.602608 | − | 1.68801i | ||||
\(909\) | −21.7945 | − | 40.4400i | −0.722878 | − | 1.34131i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 20.7856 | 0.688657 | 0.344328 | − | 0.938849i | \(-0.388107\pi\) | ||||
0.344328 | + | 0.938849i | \(0.388107\pi\) | |||||||
\(912\) | −39.7820 | + | 14.3760i | −1.31731 | + | 0.476038i | ||||
\(913\) | − | 1.08035i | − | 0.0357542i | ||||||
\(914\) | −22.8951 | − | 32.4837i | −0.757304 | − | 1.07447i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 18.1786 | + | 6.48965i | 0.600637 | + | 0.214424i | ||||
\(917\) | − | 7.11710i | − | 0.235027i | ||||||
\(918\) | −15.9185 | + | 10.2036i | −0.525389 | + | 0.336769i | ||||
\(919\) | − | 35.6290i | − | 1.17529i | −0.809119 | − | 0.587645i | \(-0.800055\pi\) | ||
0.809119 | − | 0.587645i | \(-0.199945\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 9.99184 | + | 5.96558i | 0.329242 | + | 0.196573i | ||||
\(922\) | 33.7733 | − | 23.8040i | 1.11226 | − | 0.783944i | ||||
\(923\) | −14.7634 | −0.485944 | ||||||||
\(924\) | −0.682960 | + | 0.563281i | −0.0224677 | + | 0.0185306i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 16.3524 | − | 11.5254i | 0.537372 | − | 0.378749i | ||||
\(927\) | 10.3320 | + | 19.1712i | 0.339347 | + | 0.629664i | ||||
\(928\) | −49.6246 | − | 3.57078i | −1.62901 | − | 0.117216i | ||||
\(929\) | 44.9041i | 1.47325i | 0.676299 | + | 0.736627i | \(0.263583\pi\) | ||||
−0.676299 | + | 0.736627i | \(0.736417\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −38.8575 | −1.27350 | ||||||||
\(932\) | 0.868006 | − | 2.43143i | 0.0284325 | − | 0.0796441i | ||||
\(933\) | −19.5842 | + | 32.8019i | −0.641159 | + | 1.07389i | ||||
\(934\) | 33.4862 | − | 23.6017i | 1.09570 | − | 0.772271i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 26.3314 | − | 25.2971i | 0.860668 | − | 0.826862i | ||||
\(937\) | − | 56.5086i | − | 1.84606i | −0.384731 | − | 0.923029i | \(-0.625706\pi\) | ||
0.384731 | − | 0.923029i | \(-0.374294\pi\) | |||||||
\(938\) | −3.03168 | − | 4.30137i | −0.0989880 | − | 0.140445i | ||||
\(939\) | 16.4118 | + | 9.79861i | 0.535580 | + | 0.319765i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −29.6334 | −0.966022 | −0.483011 | − | 0.875614i | \(-0.660457\pi\) | ||||
−0.483011 | + | 0.875614i | \(0.660457\pi\) | |||||||
\(942\) | 1.69906 | + | 22.3995i | 0.0553585 | + | 0.729816i | ||||
\(943\) | −16.5380 | −0.538553 | ||||||||
\(944\) | 31.6099 | − | 38.6300i | 1.02881 | − | 1.25730i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −1.10209 | + | 0.776774i | −0.0358321 | + | 0.0252551i | ||||
\(947\) | −29.2810 | −0.951504 | −0.475752 | − | 0.879580i | \(-0.657824\pi\) | ||||
−0.475752 | + | 0.879580i | \(0.657824\pi\) | |||||||
\(948\) | 7.73293 | − | 6.37785i | 0.251154 | − | 0.207143i | ||||
\(949\) | − | 6.15695i | − | 0.199863i | ||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −36.2427 | − | 21.6385i | −1.17525 | − | 0.701678i | ||||
\(952\) | 1.55355 | + | 5.59032i | 0.0503508 | + | 0.181183i | ||||
\(953\) | −40.2311 | −1.30321 | −0.651606 | − | 0.758557i | \(-0.725905\pi\) | ||||
−0.651606 | + | 0.758557i | \(0.725905\pi\) | |||||||
\(954\) | −7.47534 | + | 14.9923i | −0.242023 | + | 0.485393i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −2.83153 | + | 7.93157i | −0.0915781 | + | 0.256525i | ||||
\(957\) | 4.19270 | + | 2.50323i | 0.135531 | + | 0.0809180i | ||||
\(958\) | 43.8150 | − | 30.8816i | 1.41560 | − | 0.997739i | ||||
\(959\) | 1.29127 | 0.0416972 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −67.1203 | −2.16517 | ||||||||
\(962\) | −42.2614 | + | 29.7866i | −1.36256 | + | 0.960359i | ||||
\(963\) | 18.9192 | + | 35.1048i | 0.609662 | + | 1.13124i | ||||
\(964\) | −13.1584 | + | 36.8588i | −0.423803 | + | 1.18714i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 6.09719 | − | 0.462488i | 0.196174 | − | 0.0148803i | ||||
\(967\) | −34.4522 | −1.10791 | −0.553954 | − | 0.832547i | \(-0.686882\pi\) | ||||
−0.553954 | + | 0.832547i | \(0.686882\pi\) | |||||||
\(968\) | −8.25270 | − | 29.6967i | −0.265252 | − | 0.954488i | ||||
\(969\) | 13.9486 | − | 23.3627i | 0.448094 | − | 0.750519i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | − | 26.9133i | − | 0.863688i | −0.901948 | − | 0.431844i | \(-0.857863\pi\) | ||
0.901948 | − | 0.431844i | \(-0.142137\pi\) | |||||||
\(972\) | 30.9970 | − | 3.34441i | 0.994230 | − | 0.107272i | ||||
\(973\) | 2.86023 | 0.0916948 | ||||||||
\(974\) | 48.4550 | − | 34.1519i | 1.55260 | − | 1.09430i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 22.3760 | − | 27.3454i | 0.716239 | − | 0.875306i | ||||
\(977\) | 41.9916 | 1.34343 | 0.671715 | − | 0.740810i | \(-0.265558\pi\) | ||||
0.671715 | + | 0.740810i | \(0.265558\pi\) | |||||||
\(978\) | 25.9293 | − | 1.96681i | 0.829128 | − | 0.0628916i | ||||
\(979\) | 4.40837 | 0.140892 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −9.02109 | + | 4.86177i | −0.288021 | + | 0.155224i | ||||
\(982\) | −4.15262 | − | 5.89176i | −0.132515 | − | 0.188014i | ||||
\(983\) | 3.83856i | 0.122431i | 0.998125 | + | 0.0612156i | \(0.0194977\pi\) | ||||
−0.998125 | + | 0.0612156i | \(0.980502\pi\) | |||||||
\(984\) | −6.83153 | + | 24.9572i | −0.217781 | + | 0.795608i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 26.1595 | − | 18.4377i | 0.833090 | − | 0.587176i | ||||
\(987\) | 7.78007 | + | 4.64506i | 0.247642 | + | 0.147854i | ||||
\(988\) | −17.6668 | + | 49.4876i | −0.562055 | + | 1.57441i | ||||
\(989\) | 9.31301 | 0.296137 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 48.3440i | − | 1.53570i | −0.640630 | − | 0.767850i | \(-0.721327\pi\) | ||
0.640630 | − | 0.767850i | \(-0.278673\pi\) | |||||||
\(992\) | 4.02160 | − | 55.8899i | 0.127686 | − | 1.77451i | ||||
\(993\) | 11.7137 | − | 19.6194i | 0.371722 | − | 0.622602i | ||||
\(994\) | −3.16174 | + | 2.22845i | −0.100284 | + | 0.0706821i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 7.42856 | + | 9.00689i | 0.235383 | + | 0.285394i | ||||
\(997\) | −23.5236 | −0.744998 | −0.372499 | − | 0.928032i | \(-0.621499\pi\) | ||||
−0.372499 | + | 0.928032i | \(0.621499\pi\) | |||||||
\(998\) | 31.6522 | − | 22.3091i | 1.00193 | − | 0.706181i | ||||
\(999\) | −44.1036 | − | 1.93902i | −1.39538 | − | 0.0613479i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))