Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [23,2,Mod(2,23)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(23, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("23.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 23.c (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.183655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 13.1 | ||
Root | \(0.654861 + 0.755750i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 23.13 |
Dual form | 23.2.c.a.16.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/23\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{7}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.04408 | − | 1.20493i | −0.738275 | − | 0.852014i | 0.255102 | − | 0.966914i | \(-0.417891\pi\) |
−0.993377 | + | 0.114900i | \(0.963345\pi\) | |||||||
\(3\) | 0.198939 | + | 0.127850i | 0.114857 | + | 0.0738143i | 0.596808 | − | 0.802384i | \(-0.296435\pi\) |
−0.481951 | + | 0.876198i | \(0.660072\pi\) | |||||||
\(4\) | −0.0771283 | + | 0.536439i | −0.0385642 | + | 0.268220i | ||||
\(5\) | −1.33083 | + | 2.91411i | −0.595165 | + | 1.30323i | 0.337105 | + | 0.941467i | \(0.390552\pi\) |
−0.932270 | + | 0.361763i | \(0.882175\pi\) | |||||||
\(6\) | −0.0536570 | − | 0.373193i | −0.0219054 | − | 0.152355i | ||||
\(7\) | 0.874908 | + | 0.256896i | 0.330684 | + | 0.0970976i | 0.442860 | − | 0.896591i | \(-0.353964\pi\) |
−0.112176 | + | 0.993688i | \(0.535782\pi\) | |||||||
\(8\) | −1.95561 | + | 1.25679i | −0.691412 | + | 0.444343i | ||||
\(9\) | −1.22301 | − | 2.67803i | −0.407671 | − | 0.892676i | ||||
\(10\) | 4.90079 | − | 1.43900i | 1.54977 | − | 0.455052i | ||||
\(11\) | 2.88000 | − | 3.32369i | 0.868352 | − | 1.00213i | −0.131590 | − | 0.991304i | \(-0.542008\pi\) |
0.999941 | − | 0.0108271i | \(-0.00344646\pi\) | |||||||
\(12\) | −0.0839276 | + | 0.0968577i | −0.0242278 | + | 0.0279604i | ||||
\(13\) | −3.55742 | + | 1.04455i | −0.986649 | + | 0.289706i | −0.734967 | − | 0.678103i | \(-0.762802\pi\) |
−0.251683 | + | 0.967810i | \(0.580984\pi\) | |||||||
\(14\) | −0.603930 | − | 1.32242i | −0.161407 | − | 0.353432i | ||||
\(15\) | −0.637323 | + | 0.409583i | −0.164556 | + | 0.105754i | ||||
\(16\) | 4.59616 | + | 1.34955i | 1.14904 | + | 0.337388i | ||||
\(17\) | 0.0287523 | + | 0.199977i | 0.00697346 | + | 0.0485015i | 0.993011 | − | 0.118021i | \(-0.0376551\pi\) |
−0.986038 | + | 0.166523i | \(0.946746\pi\) | |||||||
\(18\) | −1.94991 | + | 4.26972i | −0.459599 | + | 1.00638i | ||||
\(19\) | −0.498050 | + | 3.46401i | −0.114260 | + | 0.794699i | 0.849435 | + | 0.527694i | \(0.176943\pi\) |
−0.963695 | + | 0.267005i | \(0.913966\pi\) | |||||||
\(20\) | −1.46060 | − | 0.938670i | −0.326600 | − | 0.209893i | ||||
\(21\) | 0.141209 | + | 0.162964i | 0.0308143 | + | 0.0355616i | ||||
\(22\) | −7.01176 | −1.49491 | ||||||||
\(23\) | 3.35197 | − | 3.42992i | 0.698933 | − | 0.715187i | ||||
\(24\) | −0.549727 | −0.112213 | ||||||||
\(25\) | −3.44663 | − | 3.97763i | −0.689326 | − | 0.795525i | ||||
\(26\) | 4.97283 | + | 3.19584i | 0.975252 | + | 0.626757i | ||||
\(27\) | 0.200045 | − | 1.39134i | 0.0384986 | − | 0.267764i | ||||
\(28\) | −0.205289 | + | 0.449521i | −0.0387960 | + | 0.0849515i | ||||
\(29\) | 0.339618 | + | 2.36209i | 0.0630655 | + | 0.438630i | 0.996752 | + | 0.0805374i | \(0.0256637\pi\) |
−0.933686 | + | 0.358092i | \(0.883427\pi\) | |||||||
\(30\) | 1.15893 | + | 0.340294i | 0.211591 | + | 0.0621288i | ||||
\(31\) | 3.00866 | − | 1.93355i | 0.540371 | − | 0.347276i | −0.241813 | − | 0.970323i | \(-0.577742\pi\) |
0.782184 | + | 0.623047i | \(0.214106\pi\) | |||||||
\(32\) | −1.24125 | − | 2.71797i | −0.219425 | − | 0.480473i | ||||
\(33\) | 0.997878 | − | 0.293003i | 0.173708 | − | 0.0510053i | ||||
\(34\) | 0.210938 | − | 0.243436i | 0.0361756 | − | 0.0417489i | ||||
\(35\) | −1.91298 | + | 2.20769i | −0.323352 | + | 0.373168i | ||||
\(36\) | 1.53093 | − | 0.449521i | 0.255155 | − | 0.0749202i | ||||
\(37\) | 2.46427 | + | 5.39599i | 0.405123 | + | 0.887096i | 0.996725 | + | 0.0808656i | \(0.0257684\pi\) |
−0.591602 | + | 0.806230i | \(0.701504\pi\) | |||||||
\(38\) | 4.69389 | − | 3.01658i | 0.761450 | − | 0.489354i | ||||
\(39\) | −0.841254 | − | 0.247014i | −0.134708 | − | 0.0395539i | ||||
\(40\) | −1.05985 | − | 7.37143i | −0.167577 | − | 1.16553i | ||||
\(41\) | −1.56316 | + | 3.42285i | −0.244125 | + | 0.534559i | −0.991540 | − | 0.129798i | \(-0.958567\pi\) |
0.747416 | + | 0.664357i | \(0.231294\pi\) | |||||||
\(42\) | 0.0489268 | − | 0.340294i | 0.00754957 | − | 0.0525084i | ||||
\(43\) | −4.40468 | − | 2.83071i | −0.671707 | − | 0.431680i | 0.159834 | − | 0.987144i | \(-0.448904\pi\) |
−0.831540 | + | 0.555464i | \(0.812541\pi\) | |||||||
\(44\) | 1.56083 | + | 1.80129i | 0.235304 | + | 0.271555i | ||||
\(45\) | 9.43169 | 1.40599 | ||||||||
\(46\) | −7.63252 | − | 0.457786i | −1.12535 | − | 0.0674969i | ||||
\(47\) | −8.39946 | −1.22519 | −0.612594 | − | 0.790398i | \(-0.709874\pi\) | ||||
−0.612594 | + | 0.790398i | \(0.709874\pi\) | |||||||
\(48\) | 0.741813 | + | 0.856098i | 0.107072 | + | 0.123567i | ||||
\(49\) | −5.18931 | − | 3.33496i | −0.741329 | − | 0.476424i | ||||
\(50\) | −1.19421 | + | 8.30590i | −0.168887 | + | 1.17463i | ||||
\(51\) | −0.0198471 | + | 0.0434591i | −0.00277915 | + | 0.00608549i | ||||
\(52\) | −0.285961 | − | 1.98890i | −0.0396556 | − | 0.275811i | ||||
\(53\) | 4.09368 | + | 1.20201i | 0.562310 | + | 0.165109i | 0.550521 | − | 0.834821i | \(-0.314429\pi\) |
0.0117890 | + | 0.999931i | \(0.496247\pi\) | |||||||
\(54\) | −1.88533 | + | 1.21163i | −0.256561 | + | 0.164882i | ||||
\(55\) | 5.85283 | + | 12.8159i | 0.789195 | + | 1.72810i | ||||
\(56\) | −2.03384 | + | 0.597190i | −0.271784 | + | 0.0798028i | ||||
\(57\) | −0.541956 | + | 0.625450i | −0.0717838 | + | 0.0828429i | ||||
\(58\) | 2.49157 | − | 2.87543i | 0.327159 | − | 0.377562i | ||||
\(59\) | 2.96598 | − | 0.870890i | 0.386137 | − | 0.113380i | −0.0829014 | − | 0.996558i | \(-0.526419\pi\) |
0.469039 | + | 0.883178i | \(0.344600\pi\) | |||||||
\(60\) | −0.170561 | − | 0.373476i | −0.0220193 | − | 0.0482155i | ||||
\(61\) | −1.20106 | + | 0.771875i | −0.153780 | + | 0.0988285i | −0.615268 | − | 0.788318i | \(-0.710952\pi\) |
0.461488 | + | 0.887147i | \(0.347316\pi\) | |||||||
\(62\) | −5.47107 | − | 1.60645i | −0.694826 | − | 0.204019i | ||||
\(63\) | −0.382050 | − | 2.65722i | −0.0481338 | − | 0.334778i | ||||
\(64\) | 2.00084 | − | 4.38124i | 0.250106 | − | 0.547655i | ||||
\(65\) | 1.69038 | − | 11.7568i | 0.209665 | − | 1.45825i | ||||
\(66\) | −1.39491 | − | 0.896455i | −0.171702 | − | 0.110346i | ||||
\(67\) | 3.65467 | + | 4.21772i | 0.446489 | + | 0.515276i | 0.933723 | − | 0.357995i | \(-0.116540\pi\) |
−0.487234 | + | 0.873271i | \(0.661994\pi\) | |||||||
\(68\) | −0.109493 | −0.0132780 | ||||||||
\(69\) | 1.10535 | − | 0.253794i | 0.133069 | − | 0.0305532i | ||||
\(70\) | 4.65742 | 0.556668 | ||||||||
\(71\) | 0.868900 | + | 1.00276i | 0.103119 | + | 0.119006i | 0.804963 | − | 0.593325i | \(-0.202185\pi\) |
−0.701844 | + | 0.712331i | \(0.747640\pi\) | |||||||
\(72\) | 5.75746 | + | 3.70009i | 0.678523 | + | 0.436060i | ||||
\(73\) | 1.41481 | − | 9.84023i | 0.165591 | − | 1.15171i | −0.722274 | − | 0.691607i | \(-0.756903\pi\) |
0.887865 | − | 0.460104i | \(-0.152188\pi\) | |||||||
\(74\) | 3.92891 | − | 8.60311i | 0.456726 | − | 1.00009i | ||||
\(75\) | −0.177129 | − | 1.23196i | −0.0204530 | − | 0.142254i | ||||
\(76\) | −1.81982 | − | 0.534347i | −0.208747 | − | 0.0612938i | ||||
\(77\) | 3.37358 | − | 2.16807i | 0.384455 | − | 0.247074i | ||||
\(78\) | 0.580699 | + | 1.27155i | 0.0657512 | + | 0.143975i | ||||
\(79\) | −12.4545 | + | 3.65697i | −1.40124 | + | 0.411442i | −0.893110 | − | 0.449838i | \(-0.851482\pi\) |
−0.508131 | + | 0.861280i | \(0.669664\pi\) | |||||||
\(80\) | −10.0495 | + | 11.5977i | −1.12356 | + | 1.29666i | ||||
\(81\) | −5.56620 | + | 6.42374i | −0.618467 | + | 0.713749i | ||||
\(82\) | 5.75635 | − | 1.69022i | 0.635683 | − | 0.186653i | ||||
\(83\) | −0.397033 | − | 0.869381i | −0.0435800 | − | 0.0954269i | 0.886590 | − | 0.462557i | \(-0.153068\pi\) |
−0.930170 | + | 0.367130i | \(0.880341\pi\) | |||||||
\(84\) | −0.0983113 | + | 0.0631808i | −0.0107266 | + | 0.00689360i | ||||
\(85\) | −0.621019 | − | 0.182348i | −0.0673590 | − | 0.0197784i | ||||
\(86\) | 1.18801 | + | 8.26281i | 0.128107 | + | 0.891002i | ||||
\(87\) | −0.234431 | + | 0.513332i | −0.0251336 | + | 0.0550350i | ||||
\(88\) | −1.45495 | + | 10.1194i | −0.155098 | + | 1.07873i | ||||
\(89\) | 9.64833 | + | 6.20061i | 1.02272 | + | 0.657263i | 0.940655 | − | 0.339364i | \(-0.110212\pi\) |
0.0820661 | + | 0.996627i | \(0.473848\pi\) | |||||||
\(90\) | −9.84742 | − | 11.3645i | −1.03801 | − | 1.19793i | ||||
\(91\) | −3.38075 | −0.354399 | ||||||||
\(92\) | 1.58141 | + | 2.06267i | 0.164873 | + | 0.215048i | ||||
\(93\) | 0.845743 | 0.0876995 | ||||||||
\(94\) | 8.76969 | + | 10.1208i | 0.904525 | + | 1.04388i | ||||
\(95\) | −9.43169 | − | 6.06138i | −0.967671 | − | 0.621885i | ||||
\(96\) | 0.100559 | − | 0.699403i | 0.0102633 | − | 0.0713825i | ||||
\(97\) | 1.94216 | − | 4.25273i | 0.197196 | − | 0.431800i | −0.785041 | − | 0.619444i | \(-0.787358\pi\) |
0.982237 | + | 0.187644i | \(0.0600853\pi\) | |||||||
\(98\) | 1.39964 | + | 9.73472i | 0.141385 | + | 0.983355i | ||||
\(99\) | −12.4232 | − | 3.64779i | −1.24858 | − | 0.366616i | ||||
\(100\) | 2.39959 | − | 1.54212i | 0.239959 | − | 0.154212i | ||||
\(101\) | −5.23396 | − | 11.4608i | −0.520799 | − | 1.14039i | −0.969136 | − | 0.246526i | \(-0.920711\pi\) |
0.448338 | − | 0.893864i | \(-0.352016\pi\) | |||||||
\(102\) | 0.0730871 | − | 0.0214603i | 0.00723670 | − | 0.00212489i | ||||
\(103\) | 7.97697 | − | 9.20591i | 0.785994 | − | 0.907085i | −0.211533 | − | 0.977371i | \(-0.567846\pi\) |
0.997527 | + | 0.0702855i | \(0.0223910\pi\) | |||||||
\(104\) | 5.64412 | − | 6.51366i | 0.553452 | − | 0.638717i | ||||
\(105\) | −0.662819 | + | 0.194621i | −0.0646845 | + | 0.0189931i | ||||
\(106\) | −2.82578 | − | 6.18759i | −0.274464 | − | 0.600992i | ||||
\(107\) | −1.86460 | + | 1.19831i | −0.180258 | + | 0.115845i | −0.627658 | − | 0.778489i | \(-0.715986\pi\) |
0.447400 | + | 0.894334i | \(0.352350\pi\) | |||||||
\(108\) | 0.730941 | + | 0.214624i | 0.0703348 | + | 0.0206522i | ||||
\(109\) | 2.03670 | + | 14.1656i | 0.195081 | + | 1.35682i | 0.818310 | + | 0.574777i | \(0.194911\pi\) |
−0.623229 | + | 0.782039i | \(0.714180\pi\) | |||||||
\(110\) | 9.33146 | − | 20.4331i | 0.889720 | − | 1.94822i | ||||
\(111\) | −0.199640 | + | 1.38853i | −0.0189490 | + | 0.131793i | ||||
\(112\) | 3.67452 | + | 2.36147i | 0.347210 | + | 0.223138i | ||||
\(113\) | 1.24690 | + | 1.43900i | 0.117299 | + | 0.135370i | 0.811362 | − | 0.584544i | \(-0.198727\pi\) |
−0.694063 | + | 0.719914i | \(0.744181\pi\) | |||||||
\(114\) | 1.31947 | 0.123579 | ||||||||
\(115\) | 5.53426 | + | 14.3326i | 0.516072 | + | 1.33653i | ||||
\(116\) | −1.29331 | −0.120081 | ||||||||
\(117\) | 7.14811 | + | 8.24935i | 0.660843 | + | 0.762653i | ||||
\(118\) | −4.14607 | − | 2.66452i | −0.381677 | − | 0.245289i | ||||
\(119\) | −0.0262176 | + | 0.182348i | −0.00240337 | + | 0.0167158i | ||||
\(120\) | 0.731593 | − | 1.60197i | 0.0667850 | − | 0.146239i | ||||
\(121\) | −1.18709 | − | 8.25642i | −0.107918 | − | 0.750584i | ||||
\(122\) | 2.18406 | + | 0.641297i | 0.197735 | + | 0.0580603i | ||||
\(123\) | −0.748585 | + | 0.481086i | −0.0674976 | + | 0.0433781i | ||||
\(124\) | 0.805178 | + | 1.76309i | 0.0723072 | + | 0.158331i | ||||
\(125\) | 0.808892 | − | 0.237512i | 0.0723495 | − | 0.0212437i | ||||
\(126\) | −2.80287 | + | 3.23468i | −0.249699 | + | 0.288168i | ||||
\(127\) | 7.77230 | − | 8.96972i | 0.689680 | − | 0.795934i | −0.297639 | − | 0.954678i | \(-0.596199\pi\) |
0.987320 | + | 0.158745i | \(0.0507447\pi\) | |||||||
\(128\) | −13.1020 | + | 3.84710i | −1.15807 | + | 0.340039i | ||||
\(129\) | −0.514353 | − | 1.12628i | −0.0452863 | − | 0.0991632i | ||||
\(130\) | −15.9310 | + | 10.2383i | −1.39724 | + | 0.897954i | ||||
\(131\) | −5.74472 | − | 1.68680i | −0.501919 | − | 0.147377i | 0.0209658 | − | 0.999780i | \(-0.493326\pi\) |
−0.522884 | + | 0.852404i | \(0.675144\pi\) | |||||||
\(132\) | 0.0802138 | + | 0.557900i | 0.00698172 | + | 0.0485589i | ||||
\(133\) | −1.32564 | + | 2.90274i | −0.114947 | + | 0.251700i | ||||
\(134\) | 1.26629 | − | 8.80725i | 0.109391 | − | 0.760831i | ||||
\(135\) | 3.78830 | + | 2.43459i | 0.326045 | + | 0.209536i | ||||
\(136\) | −0.307558 | − | 0.354940i | −0.0263728 | − | 0.0304359i | ||||
\(137\) | 4.31041 | 0.368263 | 0.184131 | − | 0.982902i | \(-0.441053\pi\) | ||||
0.184131 | + | 0.982902i | \(0.441053\pi\) | |||||||
\(138\) | −1.45988 | − | 1.06689i | −0.124273 | − | 0.0908197i | ||||
\(139\) | 21.6840 | 1.83922 | 0.919608 | − | 0.392838i | \(-0.128507\pi\) | ||||
0.919608 | + | 0.392838i | \(0.128507\pi\) | |||||||
\(140\) | −1.03675 | − | 1.19647i | −0.0876213 | − | 0.101120i | ||||
\(141\) | −1.67098 | − | 1.07387i | −0.140722 | − | 0.0904363i | ||||
\(142\) | 0.301061 | − | 2.09393i | 0.0252645 | − | 0.175718i | ||||
\(143\) | −6.77358 | + | 14.8321i | −0.566435 | + | 1.24032i | ||||
\(144\) | −2.00702 | − | 13.9592i | −0.167252 | − | 1.16326i | ||||
\(145\) | −7.33538 | − | 2.15386i | −0.609170 | − | 0.178868i | ||||
\(146\) | −13.3340 | + | 8.56921i | −1.10353 | + | 0.709193i | ||||
\(147\) | −0.605978 | − | 1.32691i | −0.0499802 | − | 0.109441i | ||||
\(148\) | −3.08469 | + | 0.905746i | −0.253560 | + | 0.0744519i | ||||
\(149\) | −8.29826 | + | 9.57670i | −0.679820 | + | 0.784554i | −0.985879 | − | 0.167459i | \(-0.946444\pi\) |
0.306059 | + | 0.952012i | \(0.400989\pi\) | |||||||
\(150\) | −1.29949 | + | 1.49969i | −0.106103 | + | 0.122449i | ||||
\(151\) | 9.48489 | − | 2.78501i | 0.771869 | − | 0.226641i | 0.127997 | − | 0.991775i | \(-0.459145\pi\) |
0.643872 | + | 0.765133i | \(0.277327\pi\) | |||||||
\(152\) | −3.37955 | − | 7.40019i | −0.274118 | − | 0.600235i | ||||
\(153\) | 0.500379 | − | 0.321574i | 0.0404532 | − | 0.0259977i | ||||
\(154\) | −6.13465 | − | 1.80129i | −0.494344 | − | 0.145152i | ||||
\(155\) | 1.63056 | + | 11.3408i | 0.130970 | + | 0.910915i | ||||
\(156\) | 0.197393 | − | 0.432230i | 0.0158041 | − | 0.0346061i | ||||
\(157\) | −0.0784492 | + | 0.545626i | −0.00626093 | + | 0.0435457i | −0.992712 | − | 0.120508i | \(-0.961548\pi\) |
0.986451 | + | 0.164053i | \(0.0524569\pi\) | |||||||
\(158\) | 17.4099 | + | 11.1886i | 1.38506 | + | 0.890121i | ||||
\(159\) | 0.660713 | + | 0.762504i | 0.0523980 | + | 0.0604705i | ||||
\(160\) | 9.57235 | 0.756761 | ||||||||
\(161\) | 3.81379 | − | 2.13975i | 0.300569 | − | 0.168636i | ||||
\(162\) | 13.5517 | 1.06472 | ||||||||
\(163\) | −11.4878 | − | 13.2577i | −0.899798 | − | 1.03842i | −0.999059 | − | 0.0433605i | \(-0.986194\pi\) |
0.0992619 | − | 0.995061i | \(-0.468352\pi\) | |||||||
\(164\) | −1.71559 | − | 1.10254i | −0.133965 | − | 0.0860939i | ||||
\(165\) | −0.474161 | + | 3.29786i | −0.0369134 | + | 0.256738i | ||||
\(166\) | −0.633010 | + | 1.38610i | −0.0491311 | + | 0.107582i | ||||
\(167\) | −0.295972 | − | 2.05853i | −0.0229030 | − | 0.159294i | 0.975160 | − | 0.221500i | \(-0.0710954\pi\) |
−0.998063 | + | 0.0622064i | \(0.980186\pi\) | |||||||
\(168\) | −0.480961 | − | 0.141223i | −0.0371069 | − | 0.0108956i | ||||
\(169\) | 0.627818 | − | 0.403474i | 0.0482937 | − | 0.0310365i | ||||
\(170\) | 0.428676 | + | 0.938670i | 0.0328780 | + | 0.0719927i | ||||
\(171\) | 9.88584 | − | 2.90274i | 0.755989 | − | 0.221978i | ||||
\(172\) | 1.85823 | − | 2.14451i | 0.141689 | − | 0.163518i | ||||
\(173\) | −5.63739 | + | 6.50589i | −0.428603 | + | 0.494634i | −0.928438 | − | 0.371486i | \(-0.878848\pi\) |
0.499836 | + | 0.866120i | \(0.333394\pi\) | |||||||
\(174\) | 0.863294 | − | 0.253486i | 0.0654461 | − | 0.0192167i | ||||
\(175\) | −1.99365 | − | 4.36548i | −0.150706 | − | 0.330000i | ||||
\(176\) | 17.7224 | − | 11.3895i | 1.33588 | − | 0.858517i | ||||
\(177\) | 0.701391 | + | 0.205947i | 0.0527198 | + | 0.0154799i | ||||
\(178\) | −2.60231 | − | 18.0995i | −0.195052 | − | 1.35661i | ||||
\(179\) | 6.85091 | − | 15.0014i | 0.512061 | − | 1.12126i | −0.460298 | − | 0.887765i | \(-0.652257\pi\) |
0.972359 | − | 0.233492i | \(-0.0750154\pi\) | |||||||
\(180\) | −0.727451 | + | 5.05953i | −0.0542210 | + | 0.377115i | ||||
\(181\) | −16.6213 | − | 10.6819i | −1.23545 | − | 0.793976i | −0.250720 | − | 0.968060i | \(-0.580667\pi\) |
−0.984731 | + | 0.174084i | \(0.944304\pi\) | |||||||
\(182\) | 3.52977 | + | 4.07357i | 0.261644 | + | 0.301953i | ||||
\(183\) | −0.337622 | −0.0249577 | ||||||||
\(184\) | −2.24444 | + | 10.9203i | −0.165462 | + | 0.805055i | ||||
\(185\) | −19.0040 | −1.39721 | ||||||||
\(186\) | −0.883022 | − | 1.01906i | −0.0647463 | − | 0.0747212i | ||||
\(187\) | 0.747468 | + | 0.480369i | 0.0546603 | + | 0.0351280i | ||||
\(188\) | 0.647836 | − | 4.50580i | 0.0472483 | − | 0.328619i | ||||
\(189\) | 0.532451 | − | 1.16590i | 0.0387301 | − | 0.0848071i | ||||
\(190\) | 2.54388 | + | 17.6931i | 0.184553 | + | 1.28359i | ||||
\(191\) | 10.5692 | + | 3.10340i | 0.764762 | + | 0.224554i | 0.640774 | − | 0.767729i | \(-0.278613\pi\) |
0.123988 | + | 0.992284i | \(0.460432\pi\) | |||||||
\(192\) | 0.958187 | − | 0.615790i | 0.0691512 | − | 0.0444408i | ||||
\(193\) | −1.64970 | − | 3.61233i | −0.118748 | − | 0.260021i | 0.840919 | − | 0.541161i | \(-0.182015\pi\) |
−0.959667 | + | 0.281139i | \(0.909288\pi\) | |||||||
\(194\) | −7.15201 | + | 2.10002i | −0.513485 | + | 0.150773i | ||||
\(195\) | 1.83939 | − | 2.12277i | 0.131722 | − | 0.152015i | ||||
\(196\) | 2.18925 | − | 2.52653i | 0.156375 | − | 0.180466i | ||||
\(197\) | 2.23909 | − | 0.657455i | 0.159528 | − | 0.0468417i | −0.200993 | − | 0.979593i | \(-0.564417\pi\) |
0.360522 | + | 0.932751i | \(0.382599\pi\) | |||||||
\(198\) | 8.57548 | + | 18.7777i | 0.609433 | + | 1.33447i | ||||
\(199\) | −10.1219 | + | 6.50498i | −0.717526 | + | 0.461126i | −0.847775 | − | 0.530356i | \(-0.822058\pi\) |
0.130250 | + | 0.991481i | \(0.458422\pi\) | |||||||
\(200\) | 11.7393 | + | 3.44697i | 0.830095 | + | 0.243738i | ||||
\(201\) | 0.187820 | + | 1.30632i | 0.0132478 | + | 0.0921406i | ||||
\(202\) | −8.34477 | + | 18.2725i | −0.587136 | + | 1.28565i | ||||
\(203\) | −0.309679 | + | 2.15386i | −0.0217352 | + | 0.151171i | ||||
\(204\) | −0.0217824 | − | 0.0139987i | −0.00152507 | − | 0.000980105i | ||||
\(205\) | −7.89425 | − | 9.11045i | −0.551359 | − | 0.636302i | ||||
\(206\) | −19.4211 | −1.35313 | ||||||||
\(207\) | −13.2849 | − | 4.78182i | −0.923365 | − | 0.332360i | ||||
\(208\) | −17.7601 | −1.23144 | ||||||||
\(209\) | 10.0789 | + | 11.6317i | 0.697174 | + | 0.804582i | ||||
\(210\) | 0.926540 | + | 0.595451i | 0.0639373 | + | 0.0410900i | ||||
\(211\) | −1.69412 | + | 11.7829i | −0.116628 | + | 0.811165i | 0.844598 | + | 0.535402i | \(0.179840\pi\) |
−0.961226 | + | 0.275764i | \(0.911069\pi\) | |||||||
\(212\) | −0.960545 | + | 2.10330i | −0.0659705 | + | 0.144455i | ||||
\(213\) | 0.0446543 | + | 0.310578i | 0.00305966 | + | 0.0212804i | ||||
\(214\) | 3.39067 | + | 0.995589i | 0.231781 | + | 0.0680571i | ||||
\(215\) | 14.1109 | − | 9.06852i | 0.962355 | − | 0.618468i | ||||
\(216\) | 1.35742 | + | 2.97233i | 0.0923606 | + | 0.202242i | ||||
\(217\) | 3.12902 | − | 0.918764i | 0.212412 | − | 0.0623697i | ||||
\(218\) | 14.9421 | − | 17.2441i | 1.01200 | − | 1.16792i | ||||
\(219\) | 1.53953 | − | 1.77672i | 0.104032 | − | 0.120059i | ||||
\(220\) | −7.32637 | + | 2.15122i | −0.493944 | + | 0.145035i | ||||
\(221\) | −0.311170 | − | 0.681367i | −0.0209316 | − | 0.0458337i | ||||
\(222\) | 1.88152 | − | 1.20918i | 0.126279 | − | 0.0811548i | ||||
\(223\) | 11.9082 | + | 3.49655i | 0.797429 | + | 0.234146i | 0.654971 | − | 0.755654i | \(-0.272681\pi\) |
0.142459 | + | 0.989801i | \(0.454499\pi\) | |||||||
\(224\) | −0.387747 | − | 2.69684i | −0.0259075 | − | 0.180190i | ||||
\(225\) | −6.43691 | + | 14.0949i | −0.429127 | + | 0.939658i | ||||
\(226\) | 0.432034 | − | 3.00486i | 0.0287385 | − | 0.199880i | ||||
\(227\) | −23.5600 | − | 15.1411i | −1.56373 | − | 1.00495i | −0.981395 | − | 0.192001i | \(-0.938502\pi\) |
−0.582336 | − | 0.812948i | \(-0.697861\pi\) | |||||||
\(228\) | −0.293716 | − | 0.338966i | −0.0194518 | − | 0.0224486i | ||||
\(229\) | 3.50285 | 0.231475 | 0.115737 | − | 0.993280i | \(-0.463077\pi\) | ||||
0.115737 | + | 0.993280i | \(0.463077\pi\) | |||||||
\(230\) | 11.4916 | − | 21.6328i | 0.757736 | − | 1.42642i | ||||
\(231\) | 0.948323 | 0.0623950 | ||||||||
\(232\) | −3.63282 | − | 4.19250i | −0.238506 | − | 0.275251i | ||||
\(233\) | 20.2298 | + | 13.0009i | 1.32530 | + | 0.851718i | 0.995721 | − | 0.0924099i | \(-0.0294570\pi\) |
0.329578 | + | 0.944128i | \(0.393093\pi\) | |||||||
\(234\) | 2.47672 | − | 17.2259i | 0.161908 | − | 1.12609i | ||||
\(235\) | 11.1783 | − | 24.4770i | 0.729189 | − | 1.59670i | ||||
\(236\) | 0.238418 | + | 1.65824i | 0.0155197 | + | 0.107942i | ||||
\(237\) | −2.94523 | − | 0.864797i | −0.191313 | − | 0.0561746i | ||||
\(238\) | 0.247089 | − | 0.158795i | 0.0160164 | − | 0.0102931i | ||||
\(239\) | 2.49818 | + | 5.47024i | 0.161594 | + | 0.353841i | 0.973058 | − | 0.230562i | \(-0.0740563\pi\) |
−0.811464 | + | 0.584402i | \(0.801329\pi\) | |||||||
\(240\) | −3.48199 | + | 1.02241i | −0.224762 | + | 0.0659960i | ||||
\(241\) | −5.45109 | + | 6.29089i | −0.351136 | + | 0.405232i | −0.903650 | − | 0.428271i | \(-0.859123\pi\) |
0.552515 | + | 0.833503i | \(0.313668\pi\) | |||||||
\(242\) | −8.70899 | + | 10.0507i | −0.559835 | + | 0.646084i | ||||
\(243\) | −5.97474 | + | 1.75434i | −0.383280 | + | 0.112541i | ||||
\(244\) | −0.321428 | − | 0.703830i | −0.0205773 | − | 0.0450581i | ||||
\(245\) | 16.6245 | − | 10.6839i | 1.06210 | − | 0.682572i | ||||
\(246\) | 1.36126 | + | 0.399701i | 0.0867905 | + | 0.0254840i | ||||
\(247\) | −1.84657 | − | 12.8432i | −0.117494 | − | 0.817191i | ||||
\(248\) | −3.45369 | + | 7.56252i | −0.219309 | + | 0.480221i | ||||
\(249\) | 0.0321652 | − | 0.223714i | 0.00203839 | − | 0.0141773i | ||||
\(250\) | −1.13073 | − | 0.726677i | −0.0715138 | − | 0.0459591i | ||||
\(251\) | 19.5443 | + | 22.5554i | 1.23363 | + | 1.42368i | 0.870665 | + | 0.491877i | \(0.163689\pi\) |
0.362962 | + | 0.931804i | \(0.381765\pi\) | |||||||
\(252\) | 1.45490 | 0.0916502 | ||||||||
\(253\) | −1.74634 | − | 21.0191i | −0.109791 | − | 1.32146i | ||||
\(254\) | −18.9228 | −1.18732 | ||||||||
\(255\) | −0.100232 | − | 0.115673i | −0.00627674 | − | 0.00724375i | ||||
\(256\) | 10.2112 | + | 6.56236i | 0.638202 | + | 0.410148i | ||||
\(257\) | −2.78702 | + | 19.3841i | −0.173849 | + | 1.20915i | 0.696807 | + | 0.717258i | \(0.254603\pi\) |
−0.870657 | + | 0.491891i | \(0.836306\pi\) | |||||||
\(258\) | −0.820060 | + | 1.79568i | −0.0510547 | + | 0.111794i | ||||
\(259\) | 0.769797 | + | 5.35406i | 0.0478329 | + | 0.332685i | ||||
\(260\) | 6.17645 | + | 1.81357i | 0.383047 | + | 0.112473i | ||||
\(261\) | 5.91040 | − | 3.79838i | 0.365844 | − | 0.235114i | ||||
\(262\) | 3.96546 | + | 8.68314i | 0.244987 | + | 0.536446i | ||||
\(263\) | 4.92329 | − | 1.44561i | 0.303583 | − | 0.0891401i | −0.126393 | − | 0.991980i | \(-0.540340\pi\) |
0.429976 | + | 0.902840i | \(0.358522\pi\) | |||||||
\(264\) | −1.58321 | + | 1.82712i | −0.0974400 | + | 0.112452i | ||||
\(265\) | −8.95079 | + | 10.3298i | −0.549842 | + | 0.634552i | ||||
\(266\) | 4.88167 | − | 1.43339i | 0.299315 | − | 0.0878867i | ||||
\(267\) | 1.12668 | + | 2.46708i | 0.0689516 | + | 0.150983i | ||||
\(268\) | −2.54443 | + | 1.63520i | −0.155426 | + | 0.0998860i | ||||
\(269\) | −15.8646 | − | 4.65828i | −0.967284 | − | 0.284020i | −0.240318 | − | 0.970694i | \(-0.577252\pi\) |
−0.726965 | + | 0.686674i | \(0.759070\pi\) | |||||||
\(270\) | −1.02177 | − | 7.10654i | −0.0621827 | − | 0.432490i | ||||
\(271\) | −9.93303 | + | 21.7503i | −0.603388 | + | 1.32124i | 0.323617 | + | 0.946188i | \(0.395101\pi\) |
−0.927005 | + | 0.375048i | \(0.877626\pi\) | |||||||
\(272\) | −0.137729 | + | 0.957928i | −0.00835106 | + | 0.0580829i | ||||
\(273\) | −0.672562 | − | 0.432230i | −0.0407053 | − | 0.0261597i | ||||
\(274\) | −4.50040 | − | 5.19374i | −0.271879 | − | 0.313765i | ||||
\(275\) | −23.1467 | −1.39580 | ||||||||
\(276\) | 0.0508910 | + | 0.612528i | 0.00306328 | + | 0.0368699i | ||||
\(277\) | −0.0941406 | −0.00565636 | −0.00282818 | − | 0.999996i | \(-0.500900\pi\) | ||||
−0.00282818 | + | 0.999996i | \(0.500900\pi\) | |||||||
\(278\) | −22.6398 | − | 26.1277i | −1.35785 | − | 1.56704i | ||||
\(279\) | −8.85773 | − | 5.69252i | −0.530298 | − | 0.340802i | ||||
\(280\) | 0.966420 | − | 6.72160i | 0.0577546 | − | 0.401692i | ||||
\(281\) | −4.73202 | + | 10.3617i | −0.282289 | + | 0.618126i | −0.996662 | − | 0.0816386i | \(-0.973985\pi\) |
0.714373 | + | 0.699765i | \(0.246712\pi\) | |||||||
\(282\) | 0.450690 | + | 3.13462i | 0.0268382 | + | 0.186664i | ||||
\(283\) | 23.0419 | + | 6.76571i | 1.36970 | + | 0.402179i | 0.882171 | − | 0.470929i | \(-0.156081\pi\) |
0.487526 | + | 0.873108i | \(0.337899\pi\) | |||||||
\(284\) | −0.604939 | + | 0.388770i | −0.0358965 | + | 0.0230693i | ||||
\(285\) | −1.10138 | − | 2.41169i | −0.0652401 | − | 0.142856i | ||||
\(286\) | 24.9437 | − | 7.32414i | 1.47495 | − | 0.433086i | ||||
\(287\) | −2.24694 | + | 2.59311i | −0.132633 | + | 0.153066i | ||||
\(288\) | −5.76072 | + | 6.64822i | −0.339453 | + | 0.391750i | ||||
\(289\) | 16.2722 | − | 4.77795i | 0.957189 | − | 0.281056i | ||||
\(290\) | 5.06345 | + | 11.0874i | 0.297336 | + | 0.651076i | ||||
\(291\) | 0.930083 | − | 0.597728i | 0.0545224 | − | 0.0350395i | ||||
\(292\) | 5.16956 | + | 1.51792i | 0.302526 | + | 0.0888296i | ||||
\(293\) | −2.81242 | − | 19.5608i | −0.164303 | − | 1.14276i | −0.890405 | − | 0.455168i | \(-0.849579\pi\) |
0.726102 | − | 0.687587i | \(-0.241330\pi\) | |||||||
\(294\) | −0.966142 | + | 2.11556i | −0.0563465 | + | 0.123382i | ||||
\(295\) | −1.40934 | + | 9.80219i | −0.0820551 | + | 0.570706i | ||||
\(296\) | −11.6008 | − | 7.45537i | −0.674282 | − | 0.433335i | ||||
\(297\) | −4.04826 | − | 4.67195i | −0.234904 | − | 0.271094i | ||||
\(298\) | 20.2033 | 1.17034 | ||||||||
\(299\) | −8.34161 | + | 15.7029i | −0.482408 | + | 0.908124i | ||||
\(300\) | 0.674531 | 0.0389441 | ||||||||
\(301\) | −3.12649 | − | 3.60816i | −0.180208 | − | 0.207971i | ||||
\(302\) | −13.2587 | − | 8.52086i | −0.762953 | − | 0.490320i | ||||
\(303\) | 0.424024 | − | 2.94915i | 0.0243596 | − | 0.169424i | ||||
\(304\) | −6.96398 | + | 15.2490i | −0.399412 | + | 0.874590i | ||||
\(305\) | −0.650922 | − | 4.52726i | −0.0372717 | − | 0.259230i | ||||
\(306\) | −0.909909 | − | 0.267173i | −0.0520160 | − | 0.0152733i | ||||
\(307\) | −16.8093 | + | 10.8027i | −0.959358 | + | 0.616542i | −0.923820 | − | 0.382826i | \(-0.874951\pi\) |
−0.0355380 | + | 0.999368i | \(0.511314\pi\) | |||||||
\(308\) | 0.902837 | + | 1.97694i | 0.0514439 | + | 0.112647i | ||||
\(309\) | 2.76390 | − | 0.811556i | 0.157233 | − | 0.0461678i | ||||
\(310\) | 11.9624 | − | 13.8054i | 0.679421 | − | 0.784093i | ||||
\(311\) | 19.1386 | − | 22.0872i | 1.08525 | − | 1.25245i | 0.119541 | − | 0.992829i | \(-0.461858\pi\) |
0.965711 | − | 0.259619i | \(-0.0835969\pi\) | |||||||
\(312\) | 1.95561 | − | 0.574218i | 0.110714 | − | 0.0325087i | ||||
\(313\) | 6.74129 | + | 14.7614i | 0.381040 | + | 0.834362i | 0.998846 | + | 0.0480311i | \(0.0152947\pi\) |
−0.617805 | + | 0.786331i | \(0.711978\pi\) | |||||||
\(314\) | 0.739348 | − | 0.475150i | 0.0417238 | − | 0.0268143i | ||||
\(315\) | 8.25186 | + | 2.42297i | 0.464940 | + | 0.136519i | ||||
\(316\) | −1.00115 | − | 6.96314i | −0.0563190 | − | 0.391707i | ||||
\(317\) | 4.38812 | − | 9.60864i | 0.246461 | − | 0.539675i | −0.745457 | − | 0.666554i | \(-0.767769\pi\) |
0.991918 | + | 0.126879i | \(0.0404959\pi\) | |||||||
\(318\) | 0.228928 | − | 1.59223i | 0.0128376 | − | 0.0892877i | ||||
\(319\) | 8.82898 | + | 5.67404i | 0.494328 | + | 0.317685i | ||||
\(320\) | 10.1046 | + | 11.6614i | 0.564866 | + | 0.651890i | ||||
\(321\) | −0.524145 | −0.0292549 | ||||||||
\(322\) | −6.56015 | − | 2.36129i | −0.365583 | − | 0.131589i | ||||
\(323\) | −0.707042 | −0.0393409 | ||||||||
\(324\) | −3.01663 | − | 3.48138i | −0.167591 | − | 0.193410i | ||||
\(325\) | 16.4159 | + | 10.5499i | 0.910592 | + | 0.585202i | ||||
\(326\) | −3.98037 | + | 27.6841i | −0.220453 | + | 1.53328i | ||||
\(327\) | −1.40589 | + | 3.07848i | −0.0777460 | + | 0.170240i | ||||
\(328\) | −1.24488 | − | 8.65831i | −0.0687369 | − | 0.478075i | ||||
\(329\) | −7.34875 | − | 2.15779i | −0.405150 | − | 0.118963i | ||||
\(330\) | 4.46876 | − | 2.87190i | 0.245997 | − | 0.158093i | ||||
\(331\) | −6.40519 | − | 14.0254i | −0.352061 | − | 0.770906i | −0.999958 | − | 0.00917776i | \(-0.997079\pi\) |
0.647897 | − | 0.761728i | \(-0.275649\pi\) | |||||||
\(332\) | 0.496992 | − | 0.145930i | 0.0272760 | − | 0.00800896i | ||||
\(333\) | 11.4368 | − | 13.1988i | 0.626732 | − | 0.723287i | ||||
\(334\) | −2.17137 | + | 2.50589i | −0.118812 | + | 0.137116i | ||||
\(335\) | −17.1546 | + | 5.03706i | −0.937259 | + | 0.275204i | ||||
\(336\) | 0.429090 | + | 0.939576i | 0.0234088 | + | 0.0512581i | ||||
\(337\) | 22.3899 | − | 14.3891i | 1.21966 | − | 0.783825i | 0.237407 | − | 0.971410i | \(-0.423702\pi\) |
0.982248 | + | 0.187585i | \(0.0600661\pi\) | |||||||
\(338\) | −1.14165 | − | 0.335219i | −0.0620976 | − | 0.0182335i | ||||
\(339\) | 0.0640805 | + | 0.445690i | 0.00348038 | + | 0.0242065i | ||||
\(340\) | 0.145717 | − | 0.319075i | 0.00790259 | − | 0.0173043i | ||||
\(341\) | 2.23841 | − | 15.5685i | 0.121217 | − | 0.843080i | ||||
\(342\) | −13.8192 | − | 8.88105i | −0.747256 | − | 0.480232i | ||||
\(343\) | −7.86334 | − | 9.07478i | −0.424581 | − | 0.489992i | ||||
\(344\) | 12.1714 | 0.656240 | ||||||||
\(345\) | −0.731452 | + | 3.55887i | −0.0393800 | + | 0.191603i | ||||
\(346\) | 13.7250 | 0.737861 | ||||||||
\(347\) | −10.3737 | − | 11.9719i | −0.556890 | − | 0.642685i | 0.405584 | − | 0.914058i | \(-0.367068\pi\) |
−0.962474 | + | 0.271372i | \(0.912523\pi\) | |||||||
\(348\) | −0.257290 | − | 0.165350i | −0.0137922 | − | 0.00886371i | ||||
\(349\) | −0.279995 | + | 1.94741i | −0.0149878 | + | 0.104242i | −0.995942 | − | 0.0899963i | \(-0.971314\pi\) |
0.980954 | + | 0.194239i | \(0.0622236\pi\) | |||||||
\(350\) | −3.17858 | + | 6.96011i | −0.169902 | + | 0.372034i | ||||
\(351\) | 0.741685 | + | 5.15854i | 0.0395882 | + | 0.275342i | ||||
\(352\) | −12.6085 | − | 3.70219i | −0.672035 | − | 0.197327i | ||||
\(353\) | −19.0703 | + | 12.2557i | −1.01501 | + | 0.652306i | −0.938685 | − | 0.344777i | \(-0.887955\pi\) |
−0.0763236 | + | 0.997083i | \(0.524318\pi\) | |||||||
\(354\) | −0.484155 | − | 1.06015i | −0.0257326 | − | 0.0563464i | ||||
\(355\) | −4.07852 | + | 1.19756i | −0.216466 | + | 0.0635600i | ||||
\(356\) | −4.07041 | + | 4.69750i | −0.215731 | + | 0.248967i | ||||
\(357\) | −0.0285289 | + | 0.0329241i | −0.00150991 | + | 0.00174253i | ||||
\(358\) | −25.2285 | + | 7.40776i | −1.33337 | + | 0.391512i | ||||
\(359\) | −8.65670 | − | 18.9555i | −0.456883 | − | 1.00044i | −0.988187 | − | 0.153254i | \(-0.951025\pi\) |
0.531304 | − | 0.847182i | \(-0.321702\pi\) | |||||||
\(360\) | −18.4447 | + | 11.8537i | −0.972120 | + | 0.624744i | ||||
\(361\) | 6.47905 | + | 1.90242i | 0.341003 | + | 0.100127i | ||||
\(362\) | 4.48303 | + | 31.1802i | 0.235623 | + | 1.63879i | ||||
\(363\) | 0.819426 | − | 1.79429i | 0.0430087 | − | 0.0941759i | ||||
\(364\) | 0.260752 | − | 1.81357i | 0.0136671 | − | 0.0950568i | ||||
\(365\) | 26.7926 | + | 17.2186i | 1.40239 | + | 0.901262i | ||||
\(366\) | 0.352504 | + | 0.406811i | 0.0184257 | + | 0.0212643i | ||||
\(367\) | −20.5752 | −1.07402 | −0.537008 | − | 0.843577i | \(-0.680445\pi\) | ||||
−0.537008 | + | 0.843577i | \(0.680445\pi\) | |||||||
\(368\) | 20.0350 | − | 11.2408i | 1.04440 | − | 0.585966i | ||||
\(369\) | 11.0782 | 0.576710 | ||||||||
\(370\) | 19.8417 | + | 22.8985i | 1.03152 | + | 1.19044i | ||||
\(371\) | 3.27280 | + | 2.10330i | 0.169915 | + | 0.109198i | ||||
\(372\) | −0.0652308 | + | 0.453690i | −0.00338206 | + | 0.0235227i | ||||
\(373\) | −9.27749 | + | 20.3149i | −0.480370 | + | 1.05186i | 0.501992 | + | 0.864872i | \(0.332601\pi\) |
−0.982362 | + | 0.186991i | \(0.940126\pi\) | |||||||
\(374\) | −0.201604 | − | 1.40219i | −0.0104247 | − | 0.0725055i | ||||
\(375\) | 0.191286 | + | 0.0561666i | 0.00987796 | + | 0.00290043i | ||||
\(376\) | 16.4260 | − | 10.5564i | 0.847109 | − | 0.544404i | ||||
\(377\) | −3.67549 | − | 8.04820i | −0.189297 | − | 0.414503i | ||||
\(378\) | −1.96075 | + | 0.575729i | −0.100850 | + | 0.0296123i | ||||
\(379\) | −11.2346 | + | 12.9654i | −0.577082 | + | 0.665988i | −0.966975 | − | 0.254872i | \(-0.917967\pi\) |
0.389893 | + | 0.920860i | \(0.372512\pi\) | |||||||
\(380\) | 3.97901 | − | 4.59203i | 0.204119 | − | 0.235566i | ||||
\(381\) | 2.69299 | − | 0.790734i | 0.137966 | − | 0.0405105i | ||||
\(382\) | −7.29571 | − | 15.9754i | −0.373281 | − | 0.817371i | ||||
\(383\) | −28.1427 | + | 18.0862i | −1.43803 | + | 0.924163i | −0.438347 | + | 0.898806i | \(0.644436\pi\) |
−0.999678 | + | 0.0253574i | \(0.991928\pi\) | |||||||
\(384\) | −3.09835 | − | 0.909758i | −0.158112 | − | 0.0464259i | ||||
\(385\) | 1.82833 | + | 12.7163i | 0.0931803 | + | 0.648083i | ||||
\(386\) | −2.63020 | + | 5.75933i | −0.133873 | + | 0.293142i | ||||
\(387\) | −2.19375 | + | 15.2578i | −0.111514 | + | 0.775600i | ||||
\(388\) | 2.13154 | + | 1.36986i | 0.108212 | + | 0.0695439i | ||||
\(389\) | −9.69166 | − | 11.1848i | −0.491387 | − | 0.567090i | 0.454849 | − | 0.890569i | \(-0.349693\pi\) |
−0.946236 | + | 0.323478i | \(0.895148\pi\) | |||||||
\(390\) | −4.47826 | −0.226766 | ||||||||
\(391\) | 0.782280 | + | 0.571698i | 0.0395616 | + | 0.0289120i | ||||
\(392\) | 14.3396 | 0.724259 | ||||||||
\(393\) | −0.927190 | − | 1.07003i | −0.0467705 | − | 0.0539761i | ||||
\(394\) | −3.12997 | − | 2.01151i | −0.157686 | − | 0.101338i | ||||
\(395\) | 5.91801 | − | 41.1606i | 0.297767 | − | 2.07102i | ||||
\(396\) | 2.91500 | − | 6.38296i | 0.146484 | − | 0.320756i | ||||
\(397\) | −1.79497 | − | 12.4843i | −0.0900869 | − | 0.626568i | −0.983979 | − | 0.178285i | \(-0.942945\pi\) |
0.893892 | − | 0.448283i | \(-0.147964\pi\) | |||||||
\(398\) | 18.4061 | + | 5.40453i | 0.922617 | + | 0.270905i | ||||
\(399\) | −0.634837 | + | 0.407985i | −0.0317816 | + | 0.0204248i | ||||
\(400\) | −10.4732 | − | 22.9332i | −0.523662 | − | 1.14666i | ||||
\(401\) | 16.2478 | − | 4.77079i | 0.811378 | − | 0.238242i | 0.150378 | − | 0.988629i | \(-0.451951\pi\) |
0.660999 | + | 0.750387i | \(0.270133\pi\) | |||||||
\(402\) | 1.37792 | − | 1.59021i | 0.0687246 | − | 0.0793124i | ||||
\(403\) | −8.68336 | + | 10.0211i | −0.432549 | + | 0.499188i | ||||
\(404\) | 6.55170 | − | 1.92375i | 0.325959 | − | 0.0957102i | ||||
\(405\) | −11.3118 | − | 24.7694i | −0.562089 | − | 1.23080i | ||||
\(406\) | 2.91858 | − | 1.87566i | 0.144847 | − | 0.0930874i | ||||
\(407\) | 25.0317 | + | 7.34997i | 1.24078 | + | 0.364325i | ||||
\(408\) | −0.0158059 | − | 0.109933i | −0.000782510 | − | 0.00544248i | ||||
\(409\) | 12.9449 | − | 28.3453i | 0.640083 | − | 1.40159i | −0.259889 | − | 0.965639i | \(-0.583686\pi\) |
0.899972 | − | 0.435948i | \(-0.143587\pi\) | |||||||
\(410\) | −2.73525 | + | 19.0240i | −0.135084 | + | 0.939531i | ||||
\(411\) | 0.857507 | + | 0.551086i | 0.0422977 | + | 0.0271831i | ||||
\(412\) | 4.32316 | + | 4.98919i | 0.212987 | + | 0.245800i | ||||
\(413\) | 2.81869 | 0.138698 | ||||||||
\(414\) | 8.10872 | + | 21.0000i | 0.398522 | + | 1.03209i | ||||
\(415\) | 3.06186 | 0.150301 | ||||||||
\(416\) | 7.25471 | + | 8.37238i | 0.355691 | + | 0.410490i | ||||
\(417\) | 4.31379 | + | 2.77231i | 0.211247 | + | 0.135760i | ||||
\(418\) | 3.49220 | − | 24.2888i | 0.170809 | − | 1.18800i | ||||
\(419\) | 13.9220 | − | 30.4850i | 0.680136 | − | 1.48929i | −0.182363 | − | 0.983231i | \(-0.558375\pi\) |
0.862499 | − | 0.506059i | \(-0.168898\pi\) | |||||||
\(420\) | −0.0532804 | − | 0.370573i | −0.00259982 | − | 0.0180821i | ||||
\(421\) | −34.3342 | − | 10.0814i | −1.67335 | − | 0.491339i | −0.698761 | − | 0.715356i | \(-0.746265\pi\) |
−0.974585 | + | 0.224017i | \(0.928083\pi\) | |||||||
\(422\) | 15.9663 | − | 10.2609i | 0.777228 | − | 0.499494i | ||||
\(423\) | 10.2727 | + | 22.4940i | 0.499474 | + | 1.09369i | ||||
\(424\) | −9.51630 | + | 2.79424i | −0.462153 | + | 0.135700i | ||||
\(425\) | 0.696334 | − | 0.803613i | 0.0337772 | − | 0.0389809i | ||||
\(426\) | 0.327602 | − | 0.378072i | 0.0158724 | − | 0.0183177i | ||||
\(427\) | −1.24911 | + | 0.366772i | −0.0604487 | + | 0.0177493i | ||||
\(428\) | −0.499005 | − | 1.09267i | −0.0241203 | − | 0.0528161i | ||||
\(429\) | −3.24381 | + | 2.08467i | −0.156613 | + | 0.100649i | ||||
\(430\) | −25.6598 | − | 7.53440i | −1.23743 | − | 0.363341i | ||||
\(431\) | 0.576458 | + | 4.00936i | 0.0277670 | + | 0.193124i | 0.998984 | − | 0.0450741i | \(-0.0143524\pi\) |
−0.971217 | + | 0.238198i | \(0.923443\pi\) | |||||||
\(432\) | 2.79713 | − | 6.12485i | 0.134577 | − | 0.294682i | ||||
\(433\) | −1.49601 | + | 10.4050i | −0.0718936 | + | 0.500031i | 0.921779 | + | 0.387716i | \(0.126736\pi\) |
−0.993673 | + | 0.112315i | \(0.964173\pi\) | |||||||
\(434\) | −4.37399 | − | 2.81099i | −0.209958 | − | 0.134932i | ||||
\(435\) | −1.18392 | − | 1.36632i | −0.0567646 | − | 0.0655098i | ||||
\(436\) | −7.75606 | −0.371448 | ||||||||
\(437\) | 10.2118 | + | 13.3195i | 0.488498 | + | 0.637159i | ||||
\(438\) | −3.74822 | −0.179097 | ||||||||
\(439\) | 13.7805 | + | 15.9035i | 0.657706 | + | 0.759034i | 0.982401 | − | 0.186785i | \(-0.0598069\pi\) |
−0.324694 | + | 0.945819i | \(0.605261\pi\) | |||||||
\(440\) | −27.5528 | − | 17.7071i | −1.31353 | − | 0.844152i | ||||
\(441\) | −2.58453 | + | 17.9758i | −0.123073 | + | 0.855991i | ||||
\(442\) | −0.496114 | + | 1.08634i | −0.0235977 | + | 0.0516719i | ||||
\(443\) | 5.00633 | + | 34.8198i | 0.237858 | + | 1.65434i | 0.662562 | + | 0.749007i | \(0.269469\pi\) |
−0.424704 | + | 0.905332i | \(0.639622\pi\) | |||||||
\(444\) | −0.729463 | − | 0.214190i | −0.0346188 | − | 0.0101650i | ||||
\(445\) | −30.9096 | + | 19.8644i | −1.46525 | + | 0.941661i | ||||
\(446\) | −8.21995 | − | 17.9992i | −0.389226 | − | 0.852285i | ||||
\(447\) | −2.87523 | + | 0.844243i | −0.135994 | + | 0.0399313i | ||||
\(448\) | 2.87608 | − | 3.31917i | 0.135882 | − | 0.156816i | ||||
\(449\) | 4.79080 | − | 5.52888i | 0.226092 | − | 0.260924i | −0.631358 | − | 0.775492i | \(-0.717502\pi\) |
0.857450 | + | 0.514568i | \(0.172048\pi\) | |||||||
\(450\) | 23.7040 | − | 6.96011i | 1.11742 | − | 0.328103i | ||||
\(451\) | 6.87459 | + | 15.0533i | 0.323712 | + | 0.708830i | ||||
\(452\) | −0.868109 | + | 0.557900i | −0.0408324 | + | 0.0262414i | ||||
\(453\) | 2.24298 | + | 0.658597i | 0.105384 | + | 0.0309436i | ||||
\(454\) | 6.35451 | + | 44.1966i | 0.298232 | + | 2.07425i | ||||
\(455\) | 4.49921 | − | 9.85189i | 0.210926 | − | 0.461864i | ||||
\(456\) | 0.273791 | − | 1.90426i | 0.0128215 | − | 0.0891752i | ||||
\(457\) | 25.2155 | + | 16.2050i | 1.17953 | + | 0.758039i | 0.975300 | − | 0.220884i | \(-0.0708943\pi\) |
0.204231 | + | 0.978923i | \(0.434531\pi\) | |||||||
\(458\) | −3.65725 | − | 4.22069i | −0.170892 | − | 0.197220i | ||||
\(459\) | 0.283988 | 0.0132554 | ||||||||
\(460\) | −8.11544 | + | 1.86334i | −0.378384 | + | 0.0868787i | ||||
\(461\) | −6.05104 | −0.281825 | −0.140913 | − | 0.990022i | \(-0.545004\pi\) | ||||
−0.140913 | + | 0.990022i | \(0.545004\pi\) | |||||||
\(462\) | −0.990123 | − | 1.14266i | −0.0460647 | − | 0.0531615i | ||||
\(463\) | −18.8505 | − | 12.1145i | −0.876059 | − | 0.563009i | 0.0235414 | − | 0.999723i | \(-0.492506\pi\) |
−0.899600 | + | 0.436714i | \(0.856142\pi\) | |||||||
\(464\) | −1.62684 | + | 11.3149i | −0.0755240 | + | 0.525281i | ||||
\(465\) | −1.12554 | + | 2.46459i | −0.0521957 | + | 0.114293i | ||||
\(466\) | −5.45631 | − | 37.9495i | −0.252759 | − | 1.75798i | ||||
\(467\) | 13.4020 | + | 3.93518i | 0.620171 | + | 0.182099i | 0.576700 | − | 0.816956i | \(-0.304340\pi\) |
0.0434710 | + | 0.999055i | \(0.486158\pi\) | |||||||
\(468\) | −4.97660 | + | 3.19827i | −0.230043 | + | 0.147840i | ||||
\(469\) | 2.11399 | + | 4.62899i | 0.0976149 | + | 0.213747i | ||||
\(470\) | −41.1640 | + | 12.0868i | −1.89875 | + | 0.557524i | ||||
\(471\) | −0.0853649 | + | 0.0985164i | −0.00393341 | + | 0.00453939i | ||||
\(472\) | −4.70576 | + | 5.43074i | −0.216600 | + | 0.249970i | ||||
\(473\) | −22.0939 | + | 6.48735i | −1.01588 | + | 0.298289i | ||||
\(474\) | 2.03303 | + | 4.45171i | 0.0933801 | + | 0.204474i | ||||
\(475\) | 15.4951 | − | 9.95812i | 0.710965 | − | 0.456910i | ||||
\(476\) | −0.0957963 | − | 0.0281283i | −0.00439082 | − | 0.00128926i | ||||
\(477\) | −1.78760 | − | 12.4331i | −0.0818488 | − | 0.569271i | ||||
\(478\) | 3.98297 | − | 8.72149i | 0.182177 | − | 0.398912i | ||||
\(479\) | 3.48599 | − | 24.2456i | 0.159279 | − | 1.10781i | −0.740687 | − | 0.671850i | \(-0.765500\pi\) |
0.899966 | − | 0.435960i | \(-0.143591\pi\) | |||||||
\(480\) | 1.90431 | + | 1.22383i | 0.0869195 | + | 0.0558598i | ||||
\(481\) | −14.4028 | − | 16.6217i | −0.656712 | − | 0.757886i | ||||
\(482\) | 13.2715 | 0.604498 | ||||||||
\(483\) | 1.03228 | + | 0.0619144i | 0.0469703 | + | 0.00281720i | ||||
\(484\) | 4.52063 | 0.205483 | ||||||||
\(485\) | 9.80826 | + | 11.3193i | 0.445370 | + | 0.513985i | ||||
\(486\) | 8.35195 | + | 5.36747i | 0.378852 | + | 0.243474i | ||||
\(487\) | −1.98438 | + | 13.8017i | −0.0899210 | + | 0.625414i | 0.894167 | + | 0.447733i | \(0.147769\pi\) |
−0.984088 | + | 0.177681i | \(0.943140\pi\) | |||||||
\(488\) | 1.37872 | − | 3.01897i | 0.0624116 | − | 0.136662i | ||||
\(489\) | −0.590381 | − | 4.10619i | −0.0266979 | − | 0.185688i | ||||
\(490\) | −30.2307 | − | 8.87654i | −1.36569 | − | 0.401001i | ||||
\(491\) | 7.32754 | − | 4.70913i | 0.330687 | − | 0.212520i | −0.364752 | − | 0.931105i | \(-0.618846\pi\) |
0.695439 | + | 0.718585i | \(0.255210\pi\) | |||||||
\(492\) | −0.200336 | − | 0.438676i | −0.00903186 | − | 0.0197770i | ||||
\(493\) | −0.462599 | + | 0.135831i | −0.0208344 | + | 0.00611754i | ||||
\(494\) | −13.5472 | + | 15.6342i | −0.609515 | + | 0.703418i | ||||
\(495\) | 27.1633 | − | 31.3481i | 1.22090 | − | 1.40899i | ||||
\(496\) | 16.4377 | − | 4.82655i | 0.738075 | − | 0.216718i | ||||
\(497\) | 0.502601 | + | 1.10054i | 0.0225447 | + | 0.0493661i | ||||
\(498\) | −0.303143 | + | 0.194818i | −0.0135842 | + | 0.00873001i | ||||
\(499\) | −20.5680 | − | 6.03930i | −0.920748 | − | 0.270356i | −0.213190 | − | 0.977011i | \(-0.568385\pi\) |
−0.707559 | + | 0.706655i | \(0.750203\pi\) | |||||||
\(500\) | 0.0650224 | + | 0.452240i | 0.00290789 | + | 0.0202248i | ||||
\(501\) | 0.204303 | − | 0.447362i | 0.00912759 | − | 0.0199866i | ||||
\(502\) | 6.77183 | − | 47.0991i | 0.302241 | − | 2.10214i | ||||
\(503\) | 10.5239 | + | 6.76330i | 0.469238 | + | 0.301561i | 0.753808 | − | 0.657094i | \(-0.228215\pi\) |
−0.284571 | + | 0.958655i | \(0.591851\pi\) | |||||||
\(504\) | 4.08671 | + | 4.71631i | 0.182036 | + | 0.210081i | ||||
\(505\) | 40.3635 | 1.79615 | ||||||||
\(506\) | −23.5032 | + | 24.0497i | −1.04484 | + | 1.06914i | ||||
\(507\) | 0.176482 | 0.00783783 | ||||||||
\(508\) | 4.21224 | + | 4.86119i | 0.186888 | + | 0.215680i | ||||
\(509\) | 10.9462 | + | 7.03471i | 0.485182 | + | 0.311808i | 0.760265 | − | 0.649613i | \(-0.225069\pi\) |
−0.275083 | + | 0.961421i | \(0.588705\pi\) | |||||||
\(510\) | −0.0347288 | + | 0.241544i | −0.00153782 | + | 0.0106958i | ||||
\(511\) | 3.76575 | − | 8.24583i | 0.166587 | − | 0.364774i | ||||
\(512\) | 1.13252 | + | 7.87688i | 0.0500510 | + | 0.348112i | ||||
\(513\) | 4.71999 | + | 1.38591i | 0.208393 | + | 0.0611896i | ||||
\(514\) | 26.2664 | − | 16.8804i | 1.15856 | − | 0.744562i | ||||
\(515\) | 16.2111 | + | 35.4973i | 0.714345 | + | 1.56420i | ||||
\(516\) | 0.643850 | − | 0.189052i | 0.0283439 | − | 0.00832253i | ||||
\(517\) | −24.1904 | + | 27.9172i | −1.06389 | + | 1.22780i | ||||
\(518\) | 5.64754 | − | 6.51761i | 0.248139 | − | 0.286367i | ||||
\(519\) | −1.95327 | + | 0.573533i | −0.0857392 | + | 0.0251753i | ||||
\(520\) | 11.4702 | + | 25.1162i | 0.503000 | + | 1.10142i | ||||
\(521\) | −18.4731 | + | 11.8720i | −0.809322 | + | 0.520120i | −0.878646 | − | 0.477474i | \(-0.841552\pi\) |
0.0693233 | + | 0.997594i | \(0.477916\pi\) | |||||||
\(522\) | −10.7477 | − | 3.15581i | −0.470414 | − | 0.138126i | ||||
\(523\) | −5.16848 | − | 35.9476i | −0.226002 | − | 1.57188i | −0.714705 | − | 0.699426i | \(-0.753439\pi\) |
0.488703 | − | 0.872450i | \(-0.337470\pi\) | |||||||
\(524\) | 1.34795 | − | 2.95159i | 0.0588854 | − | 0.128941i | ||||
\(525\) | 0.161514 | − | 1.12335i | 0.00704903 | − | 0.0490271i | ||||
\(526\) | −6.88216 | − | 4.42290i | −0.300077 | − | 0.192847i | ||||
\(527\) | 0.473171 | + | 0.546068i | 0.0206116 | + | 0.0237871i | ||||
\(528\) | 4.98183 | 0.216806 | ||||||||
\(529\) | −0.528643 | − | 22.9939i | −0.0229845 | − | 0.999736i | ||||
\(530\) | 21.7920 | 0.946582 | ||||||||
\(531\) | −5.95970 | − | 6.87786i | −0.258629 | − | 0.298474i | ||||
\(532\) | −1.45490 | − | 0.935008i | −0.0630780 | − | 0.0405378i | ||||
\(533\) | 1.98548 | − | 13.8093i | 0.0860005 | − | 0.598147i | ||||
\(534\) | 1.79632 | − | 3.93339i | 0.0777344 | − | 0.170215i | ||||
\(535\) | −1.01053 | − | 7.02840i | −0.0436891 | − | 0.303864i | ||||
\(536\) | −12.4479 | − | 3.65503i | −0.537668 | − | 0.157873i | ||||
\(537\) | 3.28084 | − | 2.10847i | 0.141579 | − | 0.0909871i | ||||
\(538\) | 10.9510 | + | 23.9794i | 0.472132 | + | 1.03382i | ||||
\(539\) | −26.0296 | + | 7.64298i | −1.12117 | + | 0.329206i | ||||
\(540\) | −1.59820 | + | 1.84442i | −0.0687754 | + | 0.0793710i | ||||
\(541\) | −22.6175 | + | 26.1020i | −0.972403 | + | 1.12221i | 0.0200766 | + | 0.999798i | \(0.493609\pi\) |
−0.992479 | + | 0.122414i | \(0.960936\pi\) | |||||||
\(542\) | 36.5784 | − | 10.7404i | 1.57118 | − | 0.461340i | ||||
\(543\) | −1.94094 | − | 4.25007i | −0.0832937 | − | 0.182388i | ||||
\(544\) | 0.507841 | − | 0.326370i | 0.0217735 | − | 0.0139930i | ||||
\(545\) | −43.9906 | − | 12.9168i | −1.88435 | − | 0.553295i | ||||
\(546\) | 0.181401 | + | 1.26167i | 0.00776325 | + | 0.0539946i | ||||
\(547\) | 7.34060 | − | 16.0737i | 0.313862 | − | 0.687261i | −0.685298 | − | 0.728263i | \(-0.740328\pi\) |
0.999159 | + | 0.0410023i | \(0.0130551\pi\) | |||||||
\(548\) | −0.332454 | + | 2.31227i | −0.0142017 | + | 0.0987753i | ||||
\(549\) | 3.53602 | + | 2.27246i | 0.150914 | + | 0.0969862i | ||||
\(550\) | 24.1670 | + | 27.8902i | 1.03048 | + | 1.18924i | ||||
\(551\) | −8.35147 | −0.355784 | ||||||||
\(552\) | −1.84267 | + | 1.88552i | −0.0784291 | + | 0.0802529i | ||||
\(553\) | −11.8360 | −0.503318 | ||||||||
\(554\) | 0.0982901 | + | 0.113433i | 0.00417595 | + | 0.00481930i | ||||
\(555\) | −3.78064 | − | 2.42967i | −0.160479 | − | 0.103134i | ||||
\(556\) | −1.67245 | + | 11.6322i | −0.0709278 | + | 0.493314i | ||||
\(557\) | 6.89058 | − | 15.0883i | 0.291963 | − | 0.639311i | −0.705635 | − | 0.708576i | \(-0.749338\pi\) |
0.997598 | + | 0.0692649i | \(0.0220654\pi\) | |||||||
\(558\) | 2.38907 | + | 16.6164i | 0.101138 | + | 0.703427i | ||||
\(559\) | 18.6261 | + | 5.46911i | 0.787800 | + | 0.231319i | ||||
\(560\) | −11.7718 | + | 7.56525i | −0.497447 | + | 0.319690i | ||||
\(561\) | 0.0872852 | + | 0.191128i | 0.00368518 | + | 0.00806942i | ||||
\(562\) | 17.4257 | − | 5.11665i | 0.735059 | − | 0.215833i | ||||
\(563\) | 4.25075 | − | 4.90563i | 0.179148 | − | 0.206748i | −0.659072 | − | 0.752079i | \(-0.729051\pi\) |
0.838220 | + | 0.545332i | \(0.183596\pi\) | |||||||
\(564\) | 0.704947 | − | 0.813552i | 0.0296836 | − | 0.0342567i | ||||
\(565\) | −5.85283 | + | 1.71855i | −0.246230 | + | 0.0722997i | ||||
\(566\) | −15.9053 | − | 34.8278i | −0.668550 | − | 1.46392i | ||||
\(567\) | −6.52015 | + | 4.19025i | −0.273821 | + | 0.175974i | ||||
\(568\) | −2.95949 | − | 0.868986i | −0.124178 | − | 0.0364618i | ||||
\(569\) | −2.81349 | − | 19.5683i | −0.117948 | − | 0.820344i | −0.959810 | − | 0.280651i | \(-0.909450\pi\) |
0.841862 | − | 0.539693i | \(-0.181460\pi\) | |||||||
\(570\) | −1.75599 | + | 3.84508i | −0.0735502 | + | 0.161052i | ||||
\(571\) | −3.22286 | + | 22.4155i | −0.134872 | + | 0.938059i | 0.804205 | + | 0.594352i | \(0.202592\pi\) |
−0.939077 | + | 0.343706i | \(0.888318\pi\) | |||||||
\(572\) | −7.43407 | − | 4.77758i | −0.310834 | − | 0.199761i | ||||
\(573\) | 1.70586 | + | 1.96866i | 0.0712632 | + | 0.0822421i | ||||
\(574\) | 5.47049 | 0.228334 | ||||||||
\(575\) | −25.1959 | − | 1.51121i | −1.05074 | − | 0.0630218i | ||||
\(576\) | −14.1801 | −0.590839 | ||||||||
\(577\) | 14.1842 | + | 16.3695i | 0.590498 | + | 0.681471i | 0.969828 | − | 0.243791i | \(-0.0783910\pi\) |
−0.379330 | + | 0.925261i | \(0.623846\pi\) | |||||||
\(578\) | −22.7466 | − | 14.6183i | −0.946132 | − | 0.608042i | ||||
\(579\) | 0.133649 | − | 0.929547i | 0.00555425 | − | 0.0386306i | ||||
\(580\) | 1.72118 | − | 3.76886i | 0.0714682 | − | 0.156493i | ||||
\(581\) | −0.124027 | − | 0.862625i | −0.00514549 | − | 0.0357877i | ||||
\(582\) | −1.69130 | − | 0.496611i | −0.0701067 | − | 0.0205852i | ||||
\(583\) | 15.7849 | − | 10.1443i | 0.653744 | − | 0.420136i | ||||
\(584\) | 9.60031 | + | 21.0217i | 0.397264 | + | 0.869886i | ||||
\(585\) | −33.5524 | + | 9.85189i | −1.38722 | + | 0.407325i | ||||
\(586\) | −20.6330 | + | 23.8118i | −0.852343 | + | 0.983656i | ||||
\(587\) | 1.09947 | − | 1.26886i | 0.0453800 | − | 0.0523713i | −0.732606 | − | 0.680653i | \(-0.761696\pi\) |
0.777986 | + | 0.628282i | \(0.216242\pi\) | |||||||
\(588\) | 0.758543 | − | 0.222728i | 0.0312818 | − | 0.00918516i | ||||
\(589\) | 5.19937 | + | 11.3850i | 0.214236 | + | 0.469112i | ||||
\(590\) | 13.2824 | − | 8.53610i | 0.546829 | − | 0.351425i | ||||
\(591\) | 0.529497 | + | 0.155474i | 0.0217806 | + | 0.00639536i | ||||
\(592\) | 4.04398 | + | 28.1265i | 0.166207 | + | 1.15599i | ||||
\(593\) | −1.18397 | + | 2.59252i | −0.0486196 | + | 0.106462i | −0.932383 | − | 0.361472i | \(-0.882274\pi\) |
0.883763 | + | 0.467934i | \(0.155002\pi\) | |||||||
\(594\) | −1.40267 | + | 9.75575i | −0.0575521 | + | 0.400283i | ||||
\(595\) | −0.496490 | − | 0.319075i | −0.0203541 | − | 0.0130808i | ||||
\(596\) | −4.49729 | − | 5.19014i | −0.184216 | − | 0.212597i | ||||
\(597\) | −2.84531 | −0.116451 | ||||||||
\(598\) | 27.6302 | − | 6.34403i | 1.12988 | − | 0.259427i | ||||
\(599\) | −5.04403 | −0.206093 | −0.103047 | − | 0.994677i | \(-0.532859\pi\) | ||||
−0.103047 | + | 0.994677i | \(0.532859\pi\) | |||||||
\(600\) | 1.89471 | + | 2.18661i | 0.0773511 | + | 0.0892679i | ||||
\(601\) | −2.38049 | − | 1.52985i | −0.0971022 | − | 0.0624038i | 0.491189 | − | 0.871053i | \(-0.336563\pi\) |
−0.588291 | + | 0.808649i | \(0.700199\pi\) | |||||||
\(602\) | −1.08328 | + | 7.53440i | −0.0441513 | + | 0.307079i | ||||
\(603\) | 6.82545 | − | 14.9456i | 0.277954 | − | 0.608634i | ||||
\(604\) | 0.762438 | + | 5.30287i | 0.0310231 | + | 0.215771i | ||||
\(605\) | 25.6400 | + | 7.52857i | 1.04241 | + | 0.306080i | ||||
\(606\) | −3.99624 | + | 2.56823i | −0.162336 | + | 0.104327i | ||||
\(607\) | −6.35531 | − | 13.9162i | −0.257954 | − | 0.564840i | 0.735702 | − | 0.677306i | \(-0.236853\pi\) |
−0.993656 | + | 0.112465i | \(0.964125\pi\) | |||||||
\(608\) | 10.0333 | − | 2.94603i | 0.406903 | − | 0.119477i | ||||
\(609\) | −0.336979 | + | 0.388894i | −0.0136551 | + | 0.0157588i | ||||
\(610\) | −4.77542 | + | 5.51113i | −0.193351 | + | 0.223139i | ||||
\(611\) | 29.8804 | − | 8.77367i | 1.20883 | − | 0.354945i | ||||
\(612\) | 0.133912 | + | 0.293225i | 0.00541305 | + | 0.0118529i | ||||
\(613\) | 28.8965 | − | 18.5706i | 1.16712 | − | 0.750061i | 0.194143 | − | 0.980973i | \(-0.437807\pi\) |
0.972975 | + | 0.230912i | \(0.0741710\pi\) | |||||||
\(614\) | 30.5667 | + | 8.97520i | 1.23357 | + | 0.362210i | ||||
\(615\) | −0.405700 | − | 2.82170i | −0.0163594 | − | 0.113782i | ||||
\(616\) | −3.87258 | + | 8.47977i | −0.156031 | + | 0.341660i | ||||
\(617\) | −2.59599 | + | 18.0555i | −0.104511 | + | 0.726887i | 0.868427 | + | 0.495818i | \(0.165132\pi\) |
−0.972937 | + | 0.231070i | \(0.925778\pi\) | |||||||
\(618\) | −3.86360 | − | 2.48298i | −0.155417 | − | 0.0998803i | ||||
\(619\) | −13.9051 | − | 16.0474i | −0.558894 | − | 0.644998i | 0.404038 | − | 0.914742i | \(-0.367606\pi\) |
−0.962932 | + | 0.269745i | \(0.913061\pi\) | |||||||
\(620\) | −6.20941 | −0.249376 | ||||||||
\(621\) | −4.10164 | − | 5.34987i | −0.164593 | − | 0.214683i | ||||
\(622\) | −46.5957 | −1.86832 | ||||||||
\(623\) | 6.84849 | + | 7.90358i | 0.274379 | + | 0.316650i | ||||
\(624\) | −3.53318 | − | 2.27063i | −0.141440 | − | 0.0908981i | ||||
\(625\) | 3.36076 | − | 23.3746i | 0.134431 | − | 0.934985i | ||||
\(626\) | 10.7480 | − | 23.5348i | 0.429576 | − | 0.940640i | ||||
\(627\) | 0.517974 | + | 3.60259i | 0.0206859 | + | 0.143874i | ||||
\(628\) | −0.286645 | − | 0.0841664i | −0.0114384 | − | 0.00335861i | ||||
\(629\) | −1.00822 | + | 0.647944i | −0.0402004 | + | 0.0258352i | ||||
\(630\) | −5.69608 | − | 12.4727i | −0.226937 | − | 0.496924i | ||||
\(631\) | −10.2333 | + | 3.00476i | −0.407380 | + | 0.119618i | −0.479001 | − | 0.877814i | \(-0.659001\pi\) |
0.0716208 | + | 0.997432i | \(0.477183\pi\) | |||||||
\(632\) | 19.7601 | − | 22.8043i | 0.786013 | − | 0.907108i | ||||
\(633\) | −1.84347 | + | 2.12747i | −0.0732712 | + | 0.0845594i | ||||
\(634\) | −16.1593 | + | 4.74479i | −0.641767 | + | 0.188440i | ||||
\(635\) | 15.7951 | + | 34.5865i | 0.626811 | + | 1.37252i | ||||
\(636\) | −0.459997 | + | 0.295622i | −0.0182401 | + | 0.0117222i | ||||
\(637\) | 21.9441 | + | 6.44336i | 0.869455 | + | 0.255295i | ||||
\(638\) | −2.38132 | − | 16.5624i | −0.0942773 | − | 0.655713i | ||||
\(639\) | 1.62275 | − | 3.55333i | 0.0641951 | − | 0.140568i | ||||
\(640\) | 6.22568 | − | 43.3006i | 0.246092 | − | 1.71161i | ||||
\(641\) | −32.9713 | − | 21.1894i | −1.30229 | − | 0.836930i | −0.308829 | − | 0.951118i | \(-0.599937\pi\) |
−0.993459 | + | 0.114188i | \(0.963574\pi\) | |||||||
\(642\) | 0.547248 | + | 0.631558i | 0.0215982 | + | 0.0249256i | ||||
\(643\) | 12.9985 | 0.512612 | 0.256306 | − | 0.966596i | \(-0.417495\pi\) | ||||
0.256306 | + | 0.966596i | \(0.417495\pi\) | |||||||
\(644\) | 0.853696 | + | 2.21090i | 0.0336403 | + | 0.0871218i | ||||
\(645\) | 3.96661 | 0.156185 | ||||||||
\(646\) | 0.738207 | + | 0.851936i | 0.0290444 | + | 0.0335190i | ||||
\(647\) | 35.5544 | + | 22.8494i | 1.39779 | + | 0.898303i | 0.999818 | − | 0.0190951i | \(-0.00607851\pi\) |
0.397970 | + | 0.917399i | \(0.369715\pi\) | |||||||
\(648\) | 2.81200 | − | 19.5579i | 0.110466 | − | 0.768306i | ||||
\(649\) | 5.64744 | − | 12.3662i | 0.221681 | − | 0.485414i | ||||
\(650\) | −4.42765 | − | 30.7950i | −0.173667 | − | 1.20788i | ||||
\(651\) | 0.739948 | + | 0.217268i | 0.0290008 | + | 0.00851541i | ||||
\(652\) | 7.99798 | − | 5.13999i | 0.313225 | − | 0.201298i | ||||
\(653\) | −3.73815 | − | 8.18542i | −0.146285 | − | 0.320320i | 0.822279 | − | 0.569085i | \(-0.192703\pi\) |
−0.968564 | + | 0.248765i | \(0.919975\pi\) | |||||||
\(654\) | 5.17721 | − | 1.52017i | 0.202445 | − | 0.0594432i | ||||
\(655\) | 12.5608 | − | 14.4959i | 0.490790 | − | 0.566402i | ||||
\(656\) | −11.8039 | + | 13.6224i | −0.460863 | + | 0.531864i | ||||
\(657\) | −28.0827 | + | 8.24583i | −1.09561 | + | 0.321701i | ||||
\(658\) | 5.07269 | + | 11.1076i | 0.197754 | + | 0.433021i | ||||
\(659\) | −5.80306 | + | 3.72940i | −0.226055 | + | 0.145277i | −0.648766 | − | 0.760988i | \(-0.724715\pi\) |
0.422711 | + | 0.906264i | \(0.361078\pi\) | |||||||
\(660\) | −1.73253 | − | 0.508717i | −0.0674387 | − | 0.0198018i | ||||
\(661\) | 4.46340 | + | 31.0436i | 0.173606 | + | 1.20746i | 0.871187 | + | 0.490951i | \(0.163351\pi\) |
−0.697581 | + | 0.716506i | \(0.745740\pi\) | |||||||
\(662\) | −10.2121 | + | 22.3614i | −0.396905 | + | 0.869101i | ||||
\(663\) | 0.0252091 | − | 0.175333i | 0.000979042 | − | 0.00680939i | ||||
\(664\) | 1.86907 | + | 1.20118i | 0.0725341 | + | 0.0466148i | ||||
\(665\) | −6.69472 | − | 7.72612i | −0.259610 | − | 0.299606i | ||||
\(666\) | −27.8445 | −1.07895 | ||||||||
\(667\) | 9.24017 | + | 6.75280i | 0.357781 | + | 0.261469i | ||||
\(668\) | 1.12710 | 0.0436090 | ||||||||
\(669\) | 1.92196 | + | 2.21806i | 0.0743072 | + | 0.0857551i | ||||
\(670\) | 23.9801 | + | 15.4111i | 0.926432 | + | 0.595382i | ||||
\(671\) | −0.893576 | + | 6.21496i | −0.0344961 | + | 0.239926i | ||||
\(672\) | 0.267654 | − | 0.586080i | 0.0103250 | − | 0.0226085i | ||||
\(673\) | 6.00691 | + | 41.7790i | 0.231549 | + | 1.61046i | 0.691405 | + | 0.722467i | \(0.256992\pi\) |
−0.459856 | + | 0.887994i | \(0.652099\pi\) | |||||||
\(674\) | −40.7147 | − | 11.9549i | −1.56827 | − | 0.460486i | ||||
\(675\) | −6.22372 | + | 3.99974i | −0.239551 | + | 0.153950i | ||||
\(676\) | 0.168017 | + | 0.367906i | 0.00646219 | + | 0.0141502i | ||||
\(677\) | 15.9891 | − | 4.69482i | 0.614510 | − | 0.180436i | 0.0403582 | − | 0.999185i | \(-0.487150\pi\) |
0.574152 | + | 0.818749i | \(0.305332\pi\) | |||||||
\(678\) | 0.470120 | − | 0.542547i | 0.0180549 | − | 0.0208364i | ||||
\(679\) | 2.79172 | − | 3.22182i | 0.107136 | − | 0.123642i | ||||
\(680\) | 1.44364 | − | 0.423892i | 0.0553612 | − | 0.0162555i | ||||
\(681\) | −2.75120 | − | 6.02429i | −0.105426 | − | 0.230851i | ||||
\(682\) | −21.0960 | + | 13.5576i | −0.807808 | + | 0.519147i | ||||
\(683\) | 5.80453 | + | 1.70436i | 0.222104 | + | 0.0652156i | 0.390891 | − | 0.920437i | \(-0.372167\pi\) |
−0.168787 | + | 0.985653i | \(0.553985\pi\) | |||||||
\(684\) | 0.794668 | + | 5.52703i | 0.0303849 | + | 0.211331i | ||||
\(685\) | −5.73642 | + | 12.5610i | −0.219177 | + | 0.479931i | ||||
\(686\) | −2.72453 | + | 18.9496i | −0.104023 | + | 0.723497i | ||||
\(687\) | 0.696852 | + | 0.447840i | 0.0265866 | + | 0.0170861i | ||||
\(688\) | −16.4244 | − | 18.9548i | −0.626174 | − | 0.722643i | ||||
\(689\) | −15.8185 | −0.602636 | ||||||||
\(690\) | 5.05188 | − | 2.83439i | 0.192322 | − | 0.107903i | ||||
\(691\) | 9.53369 | 0.362679 | 0.181339 | − | 0.983421i | \(-0.441957\pi\) | ||||
0.181339 | + | 0.983421i | \(0.441957\pi\) | |||||||
\(692\) | −3.05521 | − | 3.52590i | −0.116142 | − | 0.134035i | ||||
\(693\) | −9.93207 | − | 6.38296i | −0.377288 | − | 0.242468i | ||||
\(694\) | −3.59434 | + | 24.9992i | −0.136439 | + | 0.948957i | ||||
\(695\) | −28.8578 | + | 63.1897i | −1.09464 | + | 2.39692i | ||||
\(696\) | −0.186697 | − | 1.29851i | −0.00707674 | − | 0.0492198i | ||||
\(697\) | −0.729435 | − | 0.214181i | −0.0276293 | − | 0.00811270i | ||||
\(698\) | 2.63882 | − | 1.69587i | 0.0998810 | − | 0.0641896i | ||||
\(699\) | 2.36232 | + | 5.17277i | 0.0893513 | + | 0.195652i | ||||
\(700\) | 2.49558 | − | 0.732769i | 0.0943242 | − | 0.0276961i | ||||
\(701\) | 7.90708 | − | 9.12525i | 0.298646 | − | 0.344656i | −0.586517 | − | 0.809937i | \(-0.699501\pi\) |
0.885163 | + | 0.465281i | \(0.154047\pi\) | |||||||
\(702\) | 5.44130 | − | 6.27959i | 0.205369 | − | 0.237008i | ||||
\(703\) | −19.9191 | + | 5.84878i | −0.751263 | + | 0.220591i | ||||
\(704\) | −8.79947 | − | 19.2681i | −0.331642 | − | 0.726196i | ||||
\(705\) | 5.35317 | − | 3.44027i | 0.201612 | − | 0.129568i | ||||
\(706\) | 34.6781 | + | 10.1824i | 1.30513 | + | 0.383220i | ||||
\(707\) | −1.63500 | − | 11.3717i | −0.0614907 | − | 0.427677i | ||||
\(708\) | −0.164575 | + | 0.360369i | −0.00618511 | + | 0.0135435i | ||||
\(709\) | 0.165819 | − | 1.15329i | 0.00622745 | − | 0.0433129i | −0.986471 | − | 0.163937i | \(-0.947581\pi\) |
0.992698 | + | 0.120624i | \(0.0384896\pi\) | |||||||
\(710\) | 5.70128 | + | 3.66399i | 0.213965 | + | 0.137507i | ||||
\(711\) | 25.0255 | + | 28.8810i | 0.938530 | + | 1.08312i | ||||
\(712\) | −26.6612 | −0.999172 | ||||||||
\(713\) | 3.45302 | − | 16.8006i | 0.129317 | − | 0.629189i | ||||
\(714\) | 0.0694576 | 0.00259939 | ||||||||
\(715\) | −34.2078 | − | 39.4779i | −1.27930 | − | 1.47639i | ||||
\(716\) | 7.51894 | + | 4.83213i | 0.280996 | + | 0.180585i | ||||
\(717\) | −0.202387 | + | 1.40763i | −0.00755829 | + | 0.0525691i | ||||
\(718\) | −13.8018 | + | 30.2218i | −0.515080 | + | 1.12787i | ||||
\(719\) | −0.838352 | − | 5.83087i | −0.0312653 | − | 0.217455i | 0.968199 | − | 0.250181i | \(-0.0804901\pi\) |
−0.999464 | + | 0.0327263i | \(0.989581\pi\) | |||||||
\(720\) | 43.3496 | + | 12.7286i | 1.61554 | + | 0.474366i | ||||
\(721\) | 9.34408 | − | 6.00507i | 0.347992 | − | 0.223641i | ||||
\(722\) | −4.47235 | − | 9.79308i | −0.166444 | − | 0.364461i | ||||
\(723\) | −1.88872 | + | 0.554580i | −0.0702424 | + | 0.0206250i | ||||
\(724\) | 7.01214 | − | 8.09244i | 0.260604 | − | 0.300753i | ||||
\(725\) | 8.22499 | − | 9.49214i | 0.305468 | − | 0.352529i | ||||
\(726\) | −3.01754 | + | 0.886030i | −0.111991 | + | 0.0328837i | ||||
\(727\) | −20.4681 | − | 44.8189i | −0.759119 | − | 1.66224i | −0.749249 | − | 0.662288i | \(-0.769586\pi\) |
−0.00986997 | − | 0.999951i | \(-0.503142\pi\) | |||||||
\(728\) | 6.61142 | − | 4.24890i | 0.245036 | − | 0.157475i | ||||
\(729\) | 23.0537 | + | 6.76917i | 0.853840 | + | 0.250710i | ||||
\(730\) | −7.22641 | − | 50.2608i | −0.267462 | − | 1.86024i | ||||
\(731\) | 0.439432 | − | 0.962223i | 0.0162530 | − | 0.0355891i | ||||
\(732\) | 0.0260402 | − | 0.181114i | 0.000962474 | − | 0.00669415i | ||||
\(733\) | 21.9068 | + | 14.0786i | 0.809144 | + | 0.520005i | 0.878588 | − | 0.477580i | \(-0.158486\pi\) |
−0.0694437 | + | 0.997586i | \(0.522122\pi\) | |||||||
\(734\) | 21.4821 | + | 24.7917i | 0.792919 | + | 0.915077i | ||||
\(735\) | 4.67321 | 0.172374 | ||||||||
\(736\) | −13.4830 | − | 4.85314i | −0.496991 | − | 0.178889i | ||||
\(737\) | 24.5439 | 0.904084 | ||||||||
\(738\) | −11.5666 | − | 13.3485i | −0.425771 | − | 0.491366i | ||||
\(739\) | −13.3458 | − | 8.57682i | −0.490933 | − | 0.315504i | 0.271647 | − | 0.962397i | \(-0.412432\pi\) |
−0.762581 | + | 0.646893i | \(0.776068\pi\) | |||||||
\(740\) | 1.46575 | − | 10.1945i | 0.0538820 | − | 0.374758i | ||||
\(741\) | 1.27465 | − | 2.79109i | 0.0468253 | − | 0.102533i | ||||
\(742\) | −0.882727 | − | 6.13950i | −0.0324059 | − | 0.225388i | ||||
\(743\) | −37.2079 | − | 10.9252i | −1.36503 | − | 0.400808i | −0.484494 | − | 0.874795i | \(-0.660996\pi\) |
−0.880532 | + | 0.473987i | \(0.842814\pi\) | |||||||
\(744\) | −1.65394 | + | 1.06292i | −0.0606364 | + | 0.0389687i | ||||
\(745\) | −16.8640 | − | 36.9270i | −0.617849 | − | 1.35290i | ||||
\(746\) | 34.1644 | − | 10.0316i | 1.25085 | − | 0.367282i | ||||
\(747\) | −1.84265 | + | 2.12653i | −0.0674190 | + | 0.0778057i | ||||
\(748\) | −0.315340 | + | 0.363921i | −0.0115300 | + | 0.0133063i | ||||
\(749\) | −1.93920 | + | 0.569399i | −0.0708567 | + | 0.0208054i | ||||
\(750\) | −0.132041 | − | 0.289129i | −0.00482144 | − | 0.0105575i | ||||
\(751\) | −2.52221 | + | 1.62092i | −0.0920366 | + | 0.0591483i | −0.585850 | − | 0.810420i | \(-0.699239\pi\) |
0.493813 | + | 0.869568i | \(0.335603\pi\) | |||||||
\(752\) | −38.6053 | − | 11.3355i | −1.40779 | − | 0.413364i | ||||
\(753\) | 1.00442 | + | 6.98588i | 0.0366030 | + | 0.254579i | ||||
\(754\) | −5.86002 | + | 12.8317i | −0.213409 | + | 0.467301i | ||||
\(755\) | −4.50693 | + | 31.3464i | −0.164024 | + | 1.14081i | ||||
\(756\) | 0.584370 | + | 0.375552i | 0.0212533 | + | 0.0136587i | ||||
\(757\) | 7.33893 | + | 8.46957i | 0.266738 | + | 0.307832i | 0.873279 | − | 0.487220i | \(-0.161989\pi\) |
−0.606541 | + | 0.795052i | \(0.707444\pi\) | |||||||
\(758\) | 27.3522 | 0.993477 | ||||||||
\(759\) | 2.33988 | − | 4.40477i | 0.0849321 | − | 0.159883i | ||||
\(760\) | 26.0626 | 0.945389 | ||||||||
\(761\) | −11.2261 | − | 12.9556i | −0.406945 | − | 0.469639i | 0.514871 | − | 0.857268i | \(-0.327840\pi\) |
−0.921816 | + | 0.387629i | \(0.873294\pi\) | |||||||
\(762\) | −3.76447 | − | 2.41928i | −0.136372 | − | 0.0876412i | ||||
\(763\) | −1.85716 | + | 12.9168i | −0.0672336 | + | 0.467620i | ||||
\(764\) | −2.47997 | + | 5.43039i | −0.0897223 | + | 0.196464i | ||||
\(765\) | 0.271183 | + | 1.88612i | 0.00980465 | + | 0.0681928i | ||||
\(766\) | 51.1758 | + | 15.0266i | 1.84906 | + | 0.542932i | ||||
\(767\) | −9.64152 | + | 6.19623i | −0.348135 | + | 0.223733i | ||||
\(768\) | 1.19241 | + | 2.61102i | 0.0430274 | + | 0.0942169i | ||||
\(769\) | 49.5763 | − | 14.5569i | 1.78777 | − | 0.524935i | 0.791491 | − | 0.611180i | \(-0.209305\pi\) |
0.996274 | + | 0.0862449i | \(0.0274868\pi\) | |||||||
\(770\) | 13.4133 | − | 15.4798i | 0.483383 | − | 0.557854i | ||||
\(771\) | −3.03271 | + | 3.49993i | −0.109220 | + | 0.126047i | ||||
\(772\) | 2.06504 | − | 0.606349i | 0.0743222 | − | 0.0218230i | ||||
\(773\) | 13.3195 | + | 29.1657i | 0.479070 | + | 1.04902i | 0.982718 | + | 0.185108i | \(0.0592636\pi\) |
−0.503648 | + | 0.863909i | \(0.668009\pi\) | |||||||
\(774\) | 20.6751 | − | 13.2871i | 0.743151 | − | 0.477594i | ||||
\(775\) | −18.0607 | − | 5.30309i | −0.648759 | − | 0.190493i | ||||
\(776\) | 1.54671 | + | 10.7576i | 0.0555235 | + | 0.386174i | ||||
\(777\) | −0.531375 | + | 1.16355i | −0.0190630 | + | 0.0417421i | ||||
\(778\) | −3.35802 | + | 23.3555i | −0.120391 | + | 0.837337i | ||||
\(779\) | −11.0782 | − | 7.11956i | −0.396919 | − | 0.255085i | ||||
\(780\) | 0.996869 | + | 1.15045i | 0.0356936 | + | 0.0411927i | ||||
\(781\) | 5.83531 | 0.208804 | ||||||||
\(782\) | −0.127906 | − | 1.53949i | −0.00457392 | − | 0.0550521i | ||||
\(783\) | 3.35442 | 0.119877 | ||||||||
\(784\) | −19.3502 | − | 22.3313i | −0.691077 | − | 0.797546i | ||||
\(785\) | −1.48561 | − | 0.954745i | −0.0530238 | − | 0.0340763i | ||||
\(786\) | −0.321258 | + | 2.23440i | −0.0114589 | + | 0.0796983i | ||||
\(787\) | −13.4447 | + | 29.4397i | −0.479251 | + | 1.04941i | 0.503418 | + | 0.864043i | \(0.332076\pi\) |
−0.982669 | + | 0.185370i | \(0.940652\pi\) | |||||||
\(788\) | 0.179988 | + | 1.25184i | 0.00641180 | + | 0.0445950i | ||||
\(789\) | 1.16426 | + | 0.341856i | 0.0414486 | + | 0.0121704i | ||||
\(790\) | −55.7745 | + | 35.8441i | −1.98437 | + | 1.27528i | ||||
\(791\) | 0.721251 | + | 1.57932i | 0.0256447 | + | 0.0561541i | ||||
\(792\) | 28.8795 | − | 8.47977i | 1.02619 | − | 0.301316i | ||||
\(793\) | 3.46641 | − | 4.00045i | 0.123096 | − | 0.142060i | ||||
\(794\) | −13.1686 | + | 15.1974i | −0.467336 | + | 0.539335i | ||||
\(795\) | −3.10132 | + | 0.910629i | −0.109992 | + | 0.0322967i | ||||
\(796\) | −2.70884 | − | 5.93153i | −0.0960122 | − | 0.210237i | ||||
\(797\) | −32.4918 | + | 20.8812i | −1.15092 | + | 0.739650i | −0.969822 | − | 0.243815i | \(-0.921601\pi\) |
−0.181097 | + | 0.983465i | \(0.557965\pi\) | |||||||
\(798\) | 1.15441 | + | 0.338966i | 0.0408658 | + | 0.0119993i | ||||
\(799\) | −0.241504 | − | 1.67970i | −0.00854380 | − | 0.0594234i | ||||
\(800\) | −6.53291 | + | 14.3051i | −0.230973 | + | 0.505761i | ||||
\(801\) | 4.80535 | − | 33.4219i | 0.169789 | − | 1.18091i | ||||
\(802\) | −22.7125 | − | 14.5964i | −0.802005 | − | 0.515417i | ||||
\(803\) | −28.6312 | − | 33.0422i | −1.01037 | − | 1.16603i | ||||
\(804\) | −0.715246 | −0.0252248 | ||||||||
\(805\) | 1.15997 | + | 13.9615i | 0.0408835 | + | 0.492077i | ||||
\(806\) | 21.1409 | 0.744656 | ||||||||
\(807\) | −2.56053 | − | 2.95501i | −0.0901348 | − | 0.104021i | ||||
\(808\) | 24.6394 | + | 15.8348i | 0.866811 | + | 0.557065i | ||||
\(809\) | −0.392324 | + | 2.72867i | −0.0137934 | + | 0.0959350i | −0.995555 | − | 0.0941801i | \(-0.969977\pi\) |
0.981762 | + | 0.190115i | \(0.0608861\pi\) | |||||||
\(810\) | −18.0350 | + | 39.4912i | −0.633686 | + | 1.38758i | ||||
\(811\) | −4.45246 | − | 30.9676i | −0.156347 | − | 1.08742i | −0.905293 | − | 0.424787i | \(-0.860349\pi\) |
0.748946 | − | 0.662631i | \(-0.230560\pi\) | |||||||
\(812\) | −1.13153 | − | 0.332247i | −0.0397090 | − | 0.0116596i | ||||
\(813\) | −4.75684 | + | 3.05704i | −0.166830 | + | 0.107215i | ||||
\(814\) | −17.2789 | − | 37.8354i | −0.605624 | − | 1.32613i | ||||
\(815\) | 53.9227 | − | 15.8331i | 1.88883 | − | 0.554611i | ||||
\(816\) | −0.149871 | + | 0.172960i | −0.00524653 | + | 0.00605482i | ||||
\(817\) | 11.9994 | − | 13.8480i | 0.419805 | − | 0.484481i | ||||
\(818\) | −47.6696 | + | 13.9971i | −1.66673 | + | 0.489396i | ||||
\(819\) | 4.13471 | + | 9.05375i | 0.144478 | + | 0.316364i | ||||
\(820\) | 5.49608 | − | 3.53211i | 0.191931 | − | 0.123347i | ||||
\(821\) | 26.1872 | + | 7.68927i | 0.913941 | + | 0.268357i | 0.704699 | − | 0.709506i | \(-0.251082\pi\) |
0.209242 | + | 0.977864i | \(0.432900\pi\) | |||||||
\(822\) | −0.231284 | − | 1.60861i | −0.00806694 | − | 0.0561068i | ||||
\(823\) | −1.65368 | + | 3.62105i | −0.0576436 | + | 0.126222i | −0.936262 | − | 0.351303i | \(-0.885739\pi\) |
0.878618 | + | 0.477525i | \(0.158466\pi\) | |||||||
\(824\) | −4.02990 | + | 28.0285i | −0.140388 | + | 0.976420i | ||||
\(825\) | −4.60477 | − | 2.95931i | −0.160318 | − | 0.103030i | ||||
\(826\) | −2.94293 | − | 3.39632i | −0.102398 | − | 0.118173i | ||||
\(827\) | −14.1240 | −0.491139 | −0.245569 | − | 0.969379i | \(-0.578975\pi\) | ||||
−0.245569 | + | 0.969379i | \(0.578975\pi\) | |||||||
\(828\) | 3.58980 | − | 6.75773i | 0.124754 | − | 0.234847i | ||||
\(829\) | −27.0753 | −0.940363 | −0.470181 | − | 0.882570i | \(-0.655812\pi\) | ||||
−0.470181 | + | 0.882570i | \(0.655812\pi\) | |||||||
\(830\) | −3.19682 | − | 3.68932i | −0.110963 | − | 0.128058i | ||||
\(831\) | −0.0187282 | − | 0.0120359i | −0.000649674 | − | 0.000417520i | ||||
\(832\) | −2.54141 | + | 17.6759i | −0.0881074 | + | 0.612800i | ||||
\(833\) | 0.517711 | − | 1.13363i | 0.0179376 | − | 0.0392779i | ||||
\(834\) | −1.16350 | − | 8.09232i | −0.0402887 | − | 0.280214i | ||||
\(835\) | 6.39268 | + | 1.87706i | 0.221228 | + | 0.0649583i | ||||
\(836\) | −7.01707 | + | 4.50960i | −0.242691 | + | 0.155968i | ||||
\(837\) | −2.08836 | − | 4.57287i | −0.0721843 | − | 0.158061i | ||||
\(838\) | −51.2680 | + | 15.0536i | −1.77102 | + | 0.520020i | ||||
\(839\) | 19.6366 | − | 22.6619i | 0.677932 | − | 0.782375i | −0.307663 | − | 0.951495i | \(-0.599547\pi\) |
0.985595 | + | 0.169120i | \(0.0540925\pi\) | |||||||
\(840\) | 1.05162 | − | 1.21363i | 0.0362842 | − | 0.0418742i | ||||
\(841\) | 22.3611 | − | 6.56583i | 0.771074 | − | 0.226408i | ||||
\(842\) | 23.7002 | + | 51.8961i | 0.816761 | + | 1.78846i | ||||
\(843\) | −2.26613 | + | 1.45635i | −0.0780495 | + | 0.0501594i | ||||
\(844\) | −6.19012 | − | 1.81758i | −0.213073 | − | 0.0625638i | ||||
\(845\) | 0.340250 | + | 2.36649i | 0.0117049 | + | 0.0814097i | ||||
\(846\) | 16.3782 | − | 35.8633i | 0.563095 | − | 1.23301i | ||||
\(847\) | 1.08244 | − | 7.52857i | 0.0371933 | − | 0.258685i | ||||
\(848\) | 17.1930 | + | 11.0493i | 0.590410 | + | 0.379434i | ||||
\(849\) | 3.71892 | + | 4.29187i | 0.127633 | + | 0.147297i | ||||
\(850\) | −1.69532 | −0.0581491 | ||||||||
\(851\) | 26.7679 | + | 9.63496i | 0.917593 | + | 0.330282i | ||||
\(852\) | −0.170050 | −0.00582582 | ||||||||
\(853\) | −11.2526 | − | 12.9862i | −0.385281 | − | 0.444638i | 0.529669 | − | 0.848204i | \(-0.322316\pi\) |
−0.914951 | + | 0.403566i | \(0.867771\pi\) | |||||||
\(854\) | 1.74610 | + | 1.12215i | 0.0597504 | + | 0.0383992i | ||||
\(855\) | −4.69745 | + | 32.6715i | −0.160649 | + | 1.11734i | ||||
\(856\) | 2.14041 | − | 4.68684i | 0.0731576 | − | 0.160193i | ||||
\(857\) | −6.02726 | − | 41.9205i | −0.205887 | − | 1.43198i | −0.786395 | − | 0.617723i | \(-0.788055\pi\) |
0.580508 | − | 0.814255i | \(-0.302854\pi\) | |||||||
\(858\) | 5.89867 | + | 1.73201i | 0.201377 | + | 0.0591297i | ||||
\(859\) | −23.8513 | + | 15.3283i | −0.813795 | + | 0.522994i | −0.880091 | − | 0.474806i | \(-0.842518\pi\) |
0.0662954 | + | 0.997800i | \(0.478882\pi\) | |||||||
\(860\) | 3.77636 | + | 8.26908i | 0.128773 | + | 0.281973i | ||||
\(861\) | −0.778532 | + | 0.228598i | −0.0265323 | + | 0.00779059i | ||||
\(862\) | 4.22913 | − | 4.88067i | 0.144045 | − | 0.166236i | ||||
\(863\) | −7.26115 | + | 8.37981i | −0.247172 | + | 0.285252i | −0.865755 | − | 0.500467i | \(-0.833162\pi\) |
0.618583 | + | 0.785719i | \(0.287707\pi\) | |||||||
\(864\) | −4.02992 | + | 1.18329i | −0.137101 | + | 0.0402564i | ||||
\(865\) | −11.4565 | − | 25.0862i | −0.389532 | − | 0.852957i | ||||
\(866\) | 14.0992 | − | 9.06101i | 0.479111 | − | 0.307906i | ||||
\(867\) | 3.84804 | + | 1.12989i | 0.130686 | + | 0.0383729i | ||||
\(868\) | 0.251525 | + | 1.74939i | 0.00853731 | + | 0.0593783i | ||||
\(869\) | −23.7143 | + | 51.9270i | −0.804452 | + | 1.76150i | ||||
\(870\) | −0.410211 | + | 2.85308i | −0.0139075 | + | 0.0967285i | ||||
\(871\) | −17.4068 | − | 11.1867i | −0.589807 | − | 0.379046i | ||||
\(872\) | −21.7862 | − | 25.1426i | −0.737774 | − | 0.851436i | ||||
\(873\) | −13.7642 | −0.465849 | ||||||||
\(874\) | 5.38715 | − | 26.2111i | 0.182223 | − | 0.886605i | ||||
\(875\) | 0.768722 | 0.0259876 | ||||||||
\(876\) | 0.834360 | + | 0.962902i | 0.0281904 | + | 0.0325335i | ||||
\(877\) | 1.08197 | + | 0.695339i | 0.0365355 | + | 0.0234799i | 0.558781 | − | 0.829315i | \(-0.311269\pi\) |
−0.522246 | + | 0.852795i | \(0.674906\pi\) | |||||||
\(878\) | 4.77474 | − | 33.2090i | 0.161140 | − | 1.12075i | ||||
\(879\) | 1.94135 | − | 4.25097i | 0.0654803 | − | 0.143382i | ||||
\(880\) | 9.60477 | + | 66.8026i | 0.323777 | + | 2.25192i | ||||
\(881\) | 6.36967 | + | 1.87030i | 0.214600 | + | 0.0630121i | 0.387265 | − | 0.921968i | \(-0.373420\pi\) |
−0.172666 | + | 0.984981i | \(0.555238\pi\) | |||||||
\(882\) | 24.3581 | − | 15.6540i | 0.820178 | − | 0.527097i | ||||
\(883\) | 5.84470 | + | 12.7981i | 0.196690 | + | 0.430691i | 0.982119 | − | 0.188261i | \(-0.0602850\pi\) |
−0.785429 | + | 0.618951i | \(0.787558\pi\) | |||||||
\(884\) | 0.389512 | − | 0.114371i | 0.0131007 | − | 0.00384672i | ||||
\(885\) | −1.53358 | + | 1.76985i | −0.0515509 | + | 0.0594929i | ||||
\(886\) | 36.7284 | − | 42.3869i | 1.23392 | − | 1.42401i | ||||
\(887\) | 3.71462 | − | 1.09071i | 0.124725 | − | 0.0366224i | −0.218775 | − | 0.975775i | \(-0.570206\pi\) |
0.343499 | + | 0.939153i | \(0.388388\pi\) | |||||||
\(888\) | −1.35467 | − | 2.96632i | −0.0454599 | − | 0.0995433i | ||||
\(889\) | 9.10434 | − | 5.85100i | 0.305350 | − | 0.196236i | ||||
\(890\) | 56.2072 | + | 16.5039i | 1.88407 | + | 0.553212i | ||||
\(891\) | 5.31990 | + | 37.0007i | 0.178223 | + | 1.23957i | ||||
\(892\) | −2.79414 | + | 6.11832i | −0.0935548 | + | 0.204857i | ||||
\(893\) | 4.18335 | − | 29.0958i | 0.139990 | − | 0.973654i | ||||
\(894\) | 4.01921 | + | 2.58299i | 0.134423 | + | 0.0863882i | ||||
\(895\) | 34.5983 | + | 39.9286i | 1.15650 | + | 1.33467i | ||||
\(896\) | −12.4514 | −0.415971 | ||||||||
\(897\) | −3.66709 | + | 2.05744i | −0.122441 | + | 0.0686961i | ||||
\(898\) | −11.6639 | −0.389229 | ||||||||
\(899\) | 5.58902 | + | 6.45007i | 0.186404 | + | 0.215122i | ||||
\(900\) | −7.06457 | − | 4.54012i | −0.235486 | − | 0.151337i | ||||
\(901\) | −0.122672 | + | 0.853201i | −0.00408679 | + | 0.0284243i | ||||
\(902\) | 10.9605 | − | 24.0002i | 0.364945 | − | 0.799119i | ||||
\(903\) | −0.160676 | − | 1.11752i | −0.00534695 | − | 0.0371889i | ||||
\(904\) | −4.24698 | − | 1.24703i | −0.141252 | − | 0.0414754i | ||||
\(905\) | 53.2482 | − | 34.2205i | 1.77003 | − | 1.13753i | ||||
\(906\) | −1.54828 | − | 3.39026i | −0.0514381 | − | 0.112634i | ||||
\(907\) | −2.54461 | + | 0.747165i | −0.0844924 | + | 0.0248092i | −0.323706 | − | 0.946158i | \(-0.604929\pi\) |
0.239213 | + | 0.970967i | \(0.423111\pi\) | |||||||
\(908\) | 9.93941 | − | 11.4707i | 0.329851 | − | 0.380668i | ||||
\(909\) | −24.2911 | + | 28.0334i | −0.805684 | + | 0.929808i | ||||
\(910\) | −16.5684 | + | 4.86491i | −0.549236 | + | 0.161270i | ||||
\(911\) | −8.98681 | − | 19.6784i | −0.297746 | − | 0.651973i | 0.700340 | − | 0.713809i | \(-0.253032\pi\) |
−0.998086 | + | 0.0618359i | \(0.980304\pi\) | |||||||
\(912\) | −3.33499 | + | 2.14327i | −0.110433 | + | 0.0709707i | ||||
\(913\) | −4.03301 | − | 1.18420i | −0.133473 | − | 0.0391913i | ||||
\(914\) | −6.80103 | − | 47.3022i | −0.224958 | − | 1.56462i | ||||
\(915\) | 0.449317 | − | 0.983868i | 0.0148540 | − | 0.0325257i | ||||
\(916\) | −0.270169 | + | 1.87906i | −0.00892663 | + | 0.0620861i | ||||
\(917\) | −4.59277 | − | 2.95159i | −0.151667 | − | 0.0974702i | ||||
\(918\) | −0.296505 | − | 0.342185i | −0.00978614 | − | 0.0112938i | ||||
\(919\) | −33.8729 | −1.11736 | −0.558681 | − | 0.829382i | \(-0.688692\pi\) | ||||
−0.558681 | + | 0.829382i | \(0.688692\pi\) | |||||||
\(920\) | −28.8360 | − | 21.0736i | −0.950694 | − | 0.694776i | ||||
\(921\) | −4.72515 | −0.155699 | ||||||||
\(922\) | 6.31776 | + | 7.29108i | 0.208064 | + | 0.240119i | ||||
\(923\) | −4.13848 | − | 2.65964i | −0.136220 | − | 0.0875430i | ||||
\(924\) | −0.0731425 | + | 0.508717i | −0.00240621 | + | 0.0167356i | ||||
\(925\) | 12.9698 | − | 28.3999i | 0.426445 | − | 0.933784i | ||||
\(926\) | 5.08430 | + | 35.3621i | 0.167080 | + | 1.16207i | ||||
\(927\) | −34.4096 | − | 10.1036i | −1.13016 | − | 0.331845i | ||||
\(928\) | 5.99854 | − | 3.85503i | 0.196912 | − | 0.126547i | ||||
\(929\) | 0.0255013 | + | 0.0558401i | 0.000836671 | + | 0.00183205i | 0.910050 | − | 0.414499i | \(-0.136043\pi\) |
−0.909213 | + | 0.416331i | \(0.863316\pi\) | |||||||
\(930\) | 4.14481 | − | 1.21703i | 0.135914 | − | 0.0399079i | ||||
\(931\) | 14.1369 | − | 16.3148i | 0.463318 | − | 0.534697i | ||||
\(932\) | −8.53449 | + | 9.84933i | −0.279557 | + | 0.322626i | ||||
\(933\) | 6.63126 | − | 1.94711i | 0.217098 | − | 0.0637457i | ||||
\(934\) | −9.25112 | − | 20.2571i | −0.302706 | − | 0.662833i | ||||
\(935\) | −2.39460 | + | 1.53892i | −0.0783118 | + | 0.0503280i | ||||
\(936\) | −24.3466 | − | 7.14881i | −0.795794 | − | 0.233666i | ||||
\(937\) | −0.290080 | − | 2.01755i | −0.00947651 | − | 0.0659106i | 0.984534 | − | 0.175191i | \(-0.0560544\pi\) |
−0.994011 | + | 0.109281i | \(0.965145\pi\) | |||||||
\(938\) | 3.37044 | − | 7.38023i | 0.110049 | − | 0.240973i | ||||
\(939\) | −0.546140 | + | 3.79848i | −0.0178226 | + | 0.123959i | ||||
\(940\) | 12.2682 | + | 7.88432i | 0.400146 | + | 0.257158i | ||||
\(941\) | 10.5943 | + | 12.2265i | 0.345365 | + | 0.398572i | 0.901683 | − | 0.432397i | \(-0.142332\pi\) |
−0.556319 | + | 0.830969i | \(0.687787\pi\) | |||||||
\(942\) | 0.207833 | 0.00677156 | ||||||||
\(943\) | 6.50041 | + | 16.8348i | 0.211682 | + | 0.548216i | ||||
\(944\) | 14.8074 | 0.481940 | ||||||||
\(945\) | 2.68898 | + | 3.10324i | 0.0874724 | + | 0.100948i | ||||
\(946\) | 30.8845 | + | 19.8483i | 1.00414 | + | 0.645324i | ||||
\(947\) | 5.90698 | − | 41.0840i | 0.191951 | − | 1.33505i | −0.634885 | − | 0.772607i | \(-0.718952\pi\) |
0.826836 | − | 0.562443i | \(-0.190138\pi\) | |||||||
\(948\) | 0.691072 | − | 1.51324i | 0.0224450 | − | 0.0491476i | ||||
\(949\) | 5.24555 | + | 36.4836i | 0.170278 | + | 1.18431i | ||||
\(950\) | −28.1770 | − | 8.27350i | −0.914181 | − | 0.268428i | ||||
\(951\) | 2.10143 | − | 1.35051i | 0.0681436 | − | 0.0437933i | ||||
\(952\) | −0.177902 | − | 0.389551i | −0.00576583 | − | 0.0126254i | ||||
\(953\) | −39.4302 | + | 11.5777i | −1.27727 | + | 0.375040i | −0.848895 | − | 0.528562i | \(-0.822731\pi\) |
−0.428373 | + | 0.903602i | \(0.640913\pi\) | |||||||
\(954\) | −13.1146 | + | 15.1350i | −0.424600 | + | 0.490014i | ||||
\(955\) | −23.1095 | + | 26.6698i | −0.747806 | + | 0.863014i | ||||
\(956\) | −3.12713 | + | 0.918209i | −0.101139 | + | 0.0296970i | ||||
\(957\) | 1.03100 | + | 2.25757i | 0.0333274 | + | 0.0729769i | ||||
\(958\) | −32.8539 | + | 21.1139i | −1.06146 | + | 0.682160i | ||||
\(959\) | 3.77121 | + | 1.10733i | 0.121779 | + | 0.0357575i | ||||
\(960\) | 0.519295 | + | 3.61178i | 0.0167602 | + | 0.116570i | ||||
\(961\) | −7.56444 | + | 16.5638i | −0.244014 | + | 0.534316i | ||||
\(962\) | −4.99037 | + | 34.7088i | −0.160896 | + | 1.11906i | ||||
\(963\) | 5.48953 | + | 3.52791i | 0.176898 | + | 0.113685i | ||||
\(964\) | −2.95425 | − | 3.40938i | −0.0951499 | − | 0.109809i | ||||
\(965\) | 12.7222 | 0.409542 | ||||||||
\(966\) | −1.00318 | − | 1.30847i | −0.0322767 | − | 0.0420993i | ||||
\(967\) | −12.7482 | −0.409954 | −0.204977 | − | 0.978767i | \(-0.565712\pi\) | ||||
−0.204977 | + | 0.978767i | \(0.565712\pi\) | |||||||
\(968\) | 12.6981 | + | 14.6544i | 0.408132 | + | 0.471010i | ||||
\(969\) | −0.140658 | − | 0.0903954i | −0.00451859 | − | 0.00290392i | ||||
\(970\) | 3.39842 | − | 23.6365i | 0.109117 | − | 0.758923i | ||||
\(971\) | −3.43753 | + | 7.52715i | −0.110316 | + | 0.241558i | −0.956736 | − | 0.290958i | \(-0.906026\pi\) |
0.846420 | + | 0.532516i | \(0.178753\pi\) | |||||||
\(972\) | −0.480276 | − | 3.34039i | −0.0154049 | − | 0.107143i | ||||
\(973\) | 18.9715 | + | 5.57054i | 0.608199 | + | 0.178583i | ||||
\(974\) | 18.7019 | − | 12.0190i | 0.599249 | − | 0.385114i | ||||
\(975\) | 1.91696 | + | 4.19756i | 0.0613919 | + | 0.134429i | ||||
\(976\) | −6.56195 | + | 1.92676i | −0.210043 | + | 0.0616742i | ||||
\(977\) | −37.7993 | + | 43.6227i | −1.20931 | + | 1.39561i | −0.314440 | + | 0.949277i | \(0.601817\pi\) |
−0.894865 | + | 0.446336i | \(0.852729\pi\) | |||||||
\(978\) | −4.33127 | + | 4.99855i | −0.138499 | + | 0.159836i | ||||
\(979\) | 48.3961 | − | 14.2104i | 1.54675 | − | 0.454166i | ||||
\(980\) | 4.44906 | + | 9.74209i | 0.142120 | + | 0.311200i | ||||
\(981\) | 35.4449 | − | 22.7791i | 1.13167 | − | 0.727279i | ||||
\(982\) | −13.3247 | − | 3.91248i | −0.425208 | − | 0.124852i | ||||
\(983\) | 1.24228 | + | 8.64025i | 0.0396226 | + | 0.275581i | 0.999995 | − | 0.00313852i | \(-0.000999024\pi\) |
−0.960372 | + | 0.278720i | \(0.910090\pi\) | |||||||
\(984\) | 0.859312 | − | 1.88163i | 0.0273939 | − | 0.0599842i | ||||
\(985\) | −1.06395 | + | 7.39991i | −0.0339001 | + | 0.235781i | ||||
\(986\) | 0.646657 | + | 0.415581i | 0.0205938 | + | 0.0132348i | ||||
\(987\) | −1.18608 | − | 1.36881i | −0.0377533 | − | 0.0435696i | ||||
\(988\) | 7.03200 | 0.223718 | ||||||||
\(989\) | −24.4734 | + | 5.61921i | −0.778210 | + | 0.178681i | ||||
\(990\) | −66.1328 | −2.10184 | ||||||||
\(991\) | 37.1510 | + | 42.8746i | 1.18014 | + | 1.36196i | 0.917830 | + | 0.396973i | \(0.129939\pi\) |
0.262311 | + | 0.964983i | \(0.415515\pi\) | |||||||
\(992\) | −8.98983 | − | 5.77741i | −0.285427 | − | 0.183433i | ||||
\(993\) | 0.518910 | − | 3.60910i | 0.0164671 | − | 0.114531i | ||||
\(994\) | 0.801323 | − | 1.75465i | 0.0254164 | − | 0.0556542i | ||||
\(995\) | −5.48564 | − | 38.1535i | −0.173907 | − | 1.20955i | ||||
\(996\) | 0.117528 | + | 0.0345094i | 0.00372402 | + | 0.00109347i | ||||
\(997\) | 4.36734 | − | 2.80672i | 0.138315 | − | 0.0888896i | −0.469653 | − | 0.882851i | \(-0.655621\pi\) |
0.607968 | + | 0.793961i | \(0.291985\pi\) | |||||||
\(998\) | 14.1976 | + | 31.0885i | 0.449418 | + | 0.984088i | ||||
\(999\) | 8.00063 | − | 2.34920i | 0.253129 | − | 0.0743253i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))