Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(28,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([44]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.28");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.g (of order \(27\), degree \(18\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | no (minimal twist has level 81) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 703.6 | ||
Character | \(\chi\) | \(=\) | 729.703 |
Dual form | 729.2.g.c.28.6 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00769 | + | 0.662771i | 0.712548 | + | 0.468650i | 0.853317 | − | 0.521392i | \(-0.174587\pi\) |
−0.140769 | + | 0.990042i | \(0.544958\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.215977 | − | 0.500690i | −0.107988 | − | 0.250345i | ||||
\(5\) | 2.69736 | + | 2.85904i | 1.20630 | + | 1.27860i | 0.950089 | + | 0.311979i | \(0.100992\pi\) |
0.256208 | + | 0.966622i | \(0.417527\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.84676 | + | 0.215855i | −0.698010 | + | 0.0815857i | −0.457695 | − | 0.889109i | \(-0.651325\pi\) |
−0.240315 | + | 0.970695i | \(0.577251\pi\) | |||||||
\(8\) | 0.533084 | − | 3.02327i | 0.188474 | − | 1.06889i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.823230 | + | 4.66877i | 0.260328 | + | 1.47640i | ||||
\(11\) | 1.39079 | + | 4.64556i | 0.419339 | + | 1.40069i | 0.863322 | + | 0.504654i | \(0.168380\pi\) |
−0.443983 | + | 0.896035i | \(0.646435\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.0180985 | + | 0.310740i | 0.00501963 | + | 0.0861838i | 0.999888 | − | 0.0149987i | \(-0.00477443\pi\) |
−0.994868 | + | 0.101183i | \(0.967737\pi\) | |||||||
\(14\) | −2.00403 | − | 1.00646i | −0.535601 | − | 0.268989i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.79253 | − | 1.89997i | 0.448132 | − | 0.474992i | ||||
\(17\) | 3.17561 | + | 1.15583i | 0.770198 | + | 0.280329i | 0.697079 | − | 0.716994i | \(-0.254483\pi\) |
0.0731188 | + | 0.997323i | \(0.476705\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.05997 | − | 0.385798i | 0.243174 | − | 0.0885081i | −0.217558 | − | 0.976047i | \(-0.569809\pi\) |
0.460732 | + | 0.887539i | \(0.347587\pi\) | |||||||
\(20\) | 0.848924 | − | 1.96803i | 0.189825 | − | 0.440064i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.67745 | + | 5.60308i | −0.357634 | + | 1.19458i | ||||
\(23\) | −2.26299 | − | 0.264506i | −0.471866 | − | 0.0551532i | −0.123163 | − | 0.992386i | \(-0.539304\pi\) |
−0.348703 | + | 0.937233i | \(0.613378\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.607605 | + | 10.4322i | −0.121521 | + | 2.08644i | ||||
\(26\) | −0.187712 | + | 0.325126i | −0.0368133 | + | 0.0637625i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.506934 | + | 0.878035i | 0.0958015 | + | 0.165933i | ||||
\(29\) | 2.56086 | − | 1.28611i | 0.475540 | − | 0.238825i | −0.194852 | − | 0.980833i | \(-0.562423\pi\) |
0.670391 | + | 0.742008i | \(0.266126\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.90267 | + | 3.89896i | −0.521334 | + | 0.700273i | −0.982336 | − | 0.187126i | \(-0.940083\pi\) |
0.461002 | + | 0.887399i | \(0.347490\pi\) | |||||||
\(32\) | −2.90875 | + | 0.689387i | −0.514200 | + | 0.121868i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.43399 | + | 3.26942i | 0.417427 | + | 0.560701i | ||||
\(35\) | −5.59852 | − | 4.69772i | −0.946323 | − | 0.794059i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 8.69541 | − | 7.29632i | 1.42952 | − | 1.19951i | 0.483519 | − | 0.875334i | \(-0.339358\pi\) |
0.945998 | − | 0.324173i | \(-0.105086\pi\) | |||||||
\(38\) | 1.32382 | + | 0.313752i | 0.214752 | + | 0.0508973i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 10.0816 | − | 6.63075i | 1.59403 | − | 1.04841i | ||||
\(41\) | −1.20697 | + | 0.793835i | −0.188497 | + | 0.123976i | −0.640250 | − | 0.768167i | \(-0.721169\pi\) |
0.451753 | + | 0.892143i | \(0.350799\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.35354 | + | 1.03181i | 0.663908 | + | 0.157349i | 0.548735 | − | 0.835996i | \(-0.315110\pi\) |
0.115173 | + | 0.993345i | \(0.463258\pi\) | |||||||
\(44\) | 2.02561 | − | 1.69969i | 0.305372 | − | 0.256237i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.10510 | − | 1.76639i | −0.310380 | − | 0.260439i | ||||
\(47\) | −2.34655 | − | 3.15196i | −0.342279 | − | 0.459760i | 0.597337 | − | 0.801990i | \(-0.296225\pi\) |
−0.939616 | + | 0.342230i | \(0.888818\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.44738 | + | 0.817044i | −0.492483 | + | 0.116721i | ||||
\(50\) | −7.52643 | + | 10.1097i | −1.06440 | + | 1.42973i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.151676 | − | 0.0761743i | 0.0210336 | − | 0.0105635i | ||||
\(53\) | −0.812932 | − | 1.40804i | −0.111665 | − | 0.193409i | 0.804777 | − | 0.593577i | \(-0.202285\pi\) |
−0.916442 | + | 0.400168i | \(0.868952\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −9.53037 | + | 16.5071i | −1.28507 | + | 2.22581i | ||||
\(56\) | −0.331890 | + | 5.69833i | −0.0443506 | + | 0.761471i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.43296 | + | 0.401256i | 0.450770 | + | 0.0526875i | ||||
\(59\) | 2.86545 | − | 9.57127i | 0.373050 | − | 1.24607i | −0.541190 | − | 0.840900i | \(-0.682026\pi\) |
0.914240 | − | 0.405173i | \(-0.132789\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.302918 | + | 0.702244i | −0.0387847 | + | 0.0899131i | −0.936507 | − | 0.350648i | \(-0.885961\pi\) |
0.897723 | + | 0.440561i | \(0.145221\pi\) | |||||||
\(62\) | −5.50912 | + | 2.00515i | −0.699659 | + | 0.254655i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −8.29717 | − | 3.01992i | −1.03715 | − | 0.377490i | ||||
\(65\) | −0.839599 | + | 0.889923i | −0.104139 | + | 0.110381i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.658500 | + | 0.330711i | 0.0804486 | + | 0.0404028i | 0.488569 | − | 0.872525i | \(-0.337519\pi\) |
−0.408120 | + | 0.912928i | \(0.633816\pi\) | |||||||
\(68\) | −0.107146 | − | 1.83963i | −0.0129934 | − | 0.223088i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −2.52809 | − | 8.44441i | −0.302164 | − | 1.00930i | ||||
\(71\) | 1.18078 | + | 6.69652i | 0.140133 | + | 0.794731i | 0.971147 | + | 0.238481i | \(0.0766493\pi\) |
−0.831015 | + | 0.556250i | \(0.812240\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.692009 | + | 3.92458i | −0.0809935 | + | 0.459337i | 0.917156 | + | 0.398529i | \(0.130479\pi\) |
−0.998149 | + | 0.0608086i | \(0.980632\pi\) | |||||||
\(74\) | 13.5981 | − | 1.58939i | 1.58075 | − | 0.184763i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.422094 | − | 0.447393i | −0.0484175 | − | 0.0513196i | ||||
\(77\) | −3.57123 | − | 8.27903i | −0.406979 | − | 0.943483i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −10.3755 | − | 6.82406i | −1.16733 | − | 0.767767i | −0.190483 | − | 0.981691i | \(-0.561005\pi\) |
−0.976850 | + | 0.213923i | \(0.931376\pi\) | |||||||
\(80\) | 10.2672 | 1.14790 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −1.74239 | −0.192414 | ||||||||
\(83\) | −6.18560 | − | 4.06833i | −0.678958 | − | 0.446558i | 0.162623 | − | 0.986688i | \(-0.448004\pi\) |
−0.841581 | + | 0.540131i | \(0.818375\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.26121 | + | 12.1969i | 0.570659 | + | 1.32294i | ||||
\(86\) | 3.70318 | + | 3.92515i | 0.399325 | + | 0.423259i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 14.7862 | − | 1.72826i | 1.57621 | − | 0.184233i | ||||
\(89\) | 0.943990 | − | 5.35363i | 0.100063 | − | 0.567484i | −0.893015 | − | 0.450027i | \(-0.851414\pi\) |
0.993078 | − | 0.117458i | \(-0.0374744\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.100499 | − | 0.569956i | −0.0105351 | − | 0.0597476i | ||||
\(92\) | 0.356318 | + | 1.19018i | 0.0371487 | + | 0.124085i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.275575 | − | 4.73143i | −0.0284234 | − | 0.488010i | ||||
\(95\) | 3.96214 | + | 1.98986i | 0.406507 | + | 0.204155i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.16003 | + | 3.34944i | −0.320852 | + | 0.340084i | −0.867645 | − | 0.497185i | \(-0.834367\pi\) |
0.546792 | + | 0.837268i | \(0.315849\pi\) | |||||||
\(98\) | −4.01542 | − | 1.46149i | −0.405619 | − | 0.147633i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 5.35452 | − | 1.94888i | 0.535452 | − | 0.194888i | ||||
\(101\) | 4.25575 | − | 9.86593i | 0.423463 | − | 0.981697i | −0.564277 | − | 0.825586i | \(-0.690845\pi\) |
0.987740 | − | 0.156111i | \(-0.0498958\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.36931 | − | 11.2543i | 0.331988 | − | 1.10892i | −0.615235 | − | 0.788344i | \(-0.710939\pi\) |
0.947223 | − | 0.320575i | \(-0.103876\pi\) | |||||||
\(104\) | 0.949099 | + | 0.110934i | 0.0930668 | + | 0.0108779i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.114021 | − | 1.95766i | 0.0110747 | − | 0.190145i | ||||
\(107\) | 3.20979 | − | 5.55953i | 0.310302 | − | 0.537460i | −0.668125 | − | 0.744049i | \(-0.732903\pi\) |
0.978428 | + | 0.206589i | \(0.0662363\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.72147 | − | 2.98167i | −0.164887 | − | 0.285592i | 0.771728 | − | 0.635952i | \(-0.219393\pi\) |
−0.936615 | + | 0.350360i | \(0.886059\pi\) | |||||||
\(110\) | −20.5441 | + | 10.3176i | −1.95881 | + | 0.983749i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.90025 | + | 3.89571i | −0.274048 | + | 0.368110i | ||||
\(113\) | 15.0849 | − | 3.57519i | 1.41907 | − | 0.336326i | 0.551722 | − | 0.834028i | \(-0.313971\pi\) |
0.867348 | + | 0.497702i | \(0.165823\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −5.34788 | − | 7.18344i | −0.498692 | − | 0.669859i | ||||
\(116\) | −1.19703 | − | 1.00443i | −0.111141 | − | 0.0932587i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 9.23106 | − | 7.74578i | 0.849788 | − | 0.713057i | ||||
\(119\) | −6.11408 | − | 1.44906i | −0.560477 | − | 0.132835i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.4566 | + | 6.87740i | −0.950598 | + | 0.625218i | ||||
\(122\) | −0.770676 | + | 0.506882i | −0.0697738 | + | 0.0458909i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 2.57908 | + | 0.611252i | 0.231608 | + | 0.0548921i | ||||
\(125\) | −16.4097 | + | 13.7694i | −1.46773 | + | 1.23157i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −9.04687 | − | 7.59122i | −0.802780 | − | 0.673612i | 0.146093 | − | 0.989271i | \(-0.453330\pi\) |
−0.948873 | + | 0.315659i | \(0.897775\pi\) | |||||||
\(128\) | −2.78929 | − | 3.74666i | −0.246540 | − | 0.331161i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.43587 | + | 0.340309i | −0.125935 | + | 0.0298470i | ||||
\(131\) | −10.5633 | + | 14.1890i | −0.922923 | + | 1.23970i | 0.0476433 | + | 0.998864i | \(0.484829\pi\) |
−0.970566 | + | 0.240836i | \(0.922578\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.87424 | + | 0.941277i | −0.162517 | + | 0.0816191i | ||||
\(134\) | 0.444381 | + | 0.769691i | 0.0383887 | + | 0.0664911i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 5.18724 | − | 8.98457i | 0.444802 | − | 0.770420i | ||||
\(137\) | 0.405293 | − | 6.95861i | 0.0346265 | − | 0.594514i | −0.935712 | − | 0.352765i | \(-0.885242\pi\) |
0.970339 | − | 0.241750i | \(-0.0777213\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.26136 | − | 0.731848i | −0.531081 | − | 0.0620745i | −0.153674 | − | 0.988122i | \(-0.549110\pi\) |
−0.377408 | + | 0.926047i | \(0.623184\pi\) | |||||||
\(140\) | −1.14295 | + | 3.81772i | −0.0965970 | + | 0.322656i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −3.24840 | + | 7.53064i | −0.272600 | + | 0.631957i | ||||
\(143\) | −1.41839 | + | 0.516252i | −0.118612 | + | 0.0431712i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 10.5846 | + | 3.85248i | 0.879004 | + | 0.319931i | ||||
\(146\) | −3.29843 | + | 3.49613i | −0.272980 | + | 0.289342i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −5.53120 | − | 2.77787i | −0.454662 | − | 0.228340i | ||||
\(149\) | −1.31857 | − | 22.6390i | −0.108022 | − | 1.85466i | −0.423710 | − | 0.905798i | \(-0.639272\pi\) |
0.315688 | − | 0.948863i | \(-0.397765\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.15613 | − | 13.8824i | −0.338221 | − | 1.12974i | −0.942847 | − | 0.333227i | \(-0.891862\pi\) |
0.604625 | − | 0.796510i | \(-0.293323\pi\) | |||||||
\(152\) | −0.601317 | − | 3.41024i | −0.0487733 | − | 0.276607i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.88840 | − | 10.7096i | 0.152172 | − | 0.863008i | ||||
\(155\) | −18.9768 | + | 2.21807i | −1.52425 | + | 0.178160i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −7.80515 | − | 8.27298i | −0.622919 | − | 0.660256i | 0.336682 | − | 0.941618i | \(-0.390695\pi\) |
−0.959602 | + | 0.281363i | \(0.909214\pi\) | |||||||
\(158\) | −5.93253 | − | 13.7531i | −0.471967 | − | 1.09414i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −9.81695 | − | 6.45671i | −0.776098 | − | 0.510448i | ||||
\(161\) | 4.23630 | 0.333867 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.789620 | −0.0618478 | −0.0309239 | − | 0.999522i | \(-0.509845\pi\) | ||||
−0.0309239 | + | 0.999522i | \(0.509845\pi\) | |||||||
\(164\) | 0.658142 | + | 0.432867i | 0.0513923 | + | 0.0338012i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −3.53682 | − | 8.19928i | −0.274511 | − | 0.636387i | ||||
\(167\) | 3.98342 | + | 4.22218i | 0.308246 | + | 0.326722i | 0.862915 | − | 0.505349i | \(-0.168636\pi\) |
−0.554668 | + | 0.832071i | \(0.687155\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.8159 | − | 1.49796i | 0.985836 | − | 0.115228i | ||||
\(170\) | −2.78203 | + | 15.7777i | −0.213372 | + | 1.21009i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.423646 | − | 2.40262i | −0.0323027 | − | 0.183198i | ||||
\(173\) | 0.997345 | + | 3.33136i | 0.0758267 | + | 0.253279i | 0.987496 | − | 0.157647i | \(-0.0503907\pi\) |
−0.911669 | + | 0.410926i | \(0.865206\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.12974 | − | 19.3969i | −0.0854004 | − | 1.46627i | ||||
\(176\) | 11.3194 | + | 5.68484i | 0.853235 | + | 0.428511i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 4.49949 | − | 4.76918i | 0.337251 | − | 0.357465i | ||||
\(179\) | 7.34454 | + | 2.67320i | 0.548957 | + | 0.199804i | 0.601583 | − | 0.798810i | \(-0.294537\pi\) |
−0.0526260 | + | 0.998614i | \(0.516759\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −10.9891 | + | 3.99971i | −0.816815 | + | 0.297296i | −0.716436 | − | 0.697653i | \(-0.754228\pi\) |
−0.100379 | + | 0.994949i | \(0.532006\pi\) | |||||||
\(182\) | 0.276478 | − | 0.640949i | 0.0204939 | − | 0.0475103i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −2.00604 | + | 6.70063i | −0.147887 | + | 0.493977i | ||||
\(185\) | 44.3151 | + | 5.17969i | 3.25811 | + | 0.380819i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.952861 | + | 16.3600i | −0.0696801 | + | 1.19636i | ||||
\(188\) | −1.07135 | + | 1.85564i | −0.0781366 | + | 0.135337i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.67380 | + | 4.63116i | 0.193978 | + | 0.335980i | ||||
\(191\) | 13.0036 | − | 6.53063i | 0.940904 | − | 0.472540i | 0.0888801 | − | 0.996042i | \(-0.471671\pi\) |
0.852024 | + | 0.523502i | \(0.175375\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 10.1622 | − | 13.6503i | 0.731494 | − | 0.982568i | −0.268320 | − | 0.963330i | \(-0.586469\pi\) |
0.999815 | − | 0.0192379i | \(-0.00612399\pi\) | |||||||
\(194\) | −5.40425 | + | 1.28083i | −0.388003 | + | 0.0919584i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.15364 | + | 1.54961i | 0.0824028 | + | 0.110686i | ||||
\(197\) | 9.53813 | + | 8.00344i | 0.679563 | + | 0.570221i | 0.915879 | − | 0.401455i | \(-0.131495\pi\) |
−0.236315 | + | 0.971676i | \(0.575940\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −16.5214 | + | 13.8631i | −1.17117 | + | 0.982731i | −0.999997 | − | 0.00250896i | \(-0.999201\pi\) |
−0.171177 | + | 0.985240i | \(0.554757\pi\) | |||||||
\(200\) | 31.2154 | + | 7.39818i | 2.20726 | + | 0.523131i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 10.8273 | − | 7.12126i | 0.761809 | − | 0.501050i | ||||
\(203\) | −4.45168 | + | 2.92792i | −0.312447 | + | 0.205499i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −5.52524 | − | 1.30950i | −0.385899 | − | 0.0914598i | ||||
\(206\) | 10.8543 | − | 9.10781i | 0.756252 | − | 0.634571i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.622838 | + | 0.522623i | 0.0431860 | + | 0.0362374i | ||||
\(209\) | 3.26644 | + | 4.38760i | 0.225945 | + | 0.303496i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −12.3360 | + | 2.92368i | −0.849244 | + | 0.201275i | −0.632121 | − | 0.774870i | \(-0.717815\pi\) |
−0.217123 | + | 0.976144i | \(0.569667\pi\) | |||||||
\(212\) | −0.529417 | + | 0.711130i | −0.0363605 | + | 0.0488406i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 6.91919 | − | 3.47495i | 0.472986 | − | 0.237542i | ||||
\(215\) | 8.79309 | + | 15.2301i | 0.599684 | + | 1.03868i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4.51892 | − | 7.82700i | 0.306764 | − | 0.531331i | ||||
\(218\) | 0.241451 | − | 4.14555i | 0.0163531 | − | 0.280772i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 10.3233 | + | 1.20662i | 0.695995 | + | 0.0813501i | ||||
\(221\) | −0.301688 | + | 1.00771i | −0.0202937 | + | 0.0677857i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.95059 | + | 4.52199i | −0.130622 | + | 0.302815i | −0.970958 | − | 0.239251i | \(-0.923098\pi\) |
0.840336 | + | 0.542065i | \(0.182357\pi\) | |||||||
\(224\) | 5.22297 | − | 1.90100i | 0.348974 | − | 0.127016i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 17.5705 | + | 6.39515i | 1.16877 | + | 0.425399i | ||||
\(227\) | 4.41017 | − | 4.67451i | 0.292713 | − | 0.310258i | −0.564282 | − | 0.825582i | \(-0.690847\pi\) |
0.856995 | + | 0.515324i | \(0.172328\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 26.5744 | + | 13.3462i | 1.75608 | + | 0.881939i | 0.961509 | + | 0.274773i | \(0.0886026\pi\) |
0.794575 | + | 0.607166i | \(0.207694\pi\) | |||||||
\(230\) | −0.628046 | − | 10.7831i | −0.0414121 | − | 0.711019i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.52311 | − | 8.42777i | −0.165650 | − | 0.553310i | ||||
\(233\) | 3.77489 | + | 21.4085i | 0.247301 | + | 1.40252i | 0.815087 | + | 0.579339i | \(0.196689\pi\) |
−0.567786 | + | 0.823176i | \(0.692200\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.68208 | − | 15.2108i | 0.174960 | − | 0.992245i | ||||
\(236\) | −5.41111 | + | 0.632468i | −0.352233 | + | 0.0411702i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −5.20073 | − | 5.51245i | −0.337113 | − | 0.357319i | ||||
\(239\) | 2.35595 | + | 5.46170i | 0.152394 | + | 0.353288i | 0.977262 | − | 0.212037i | \(-0.0680099\pi\) |
−0.824868 | + | 0.565325i | \(0.808751\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.990937 | + | 0.651749i | 0.0638318 | + | 0.0419829i | 0.581024 | − | 0.813887i | \(-0.302652\pi\) |
−0.517192 | + | 0.855869i | \(0.673023\pi\) | |||||||
\(242\) | −15.0952 | −0.970355 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0.417030 | 0.0266976 | ||||||||
\(245\) | −11.6348 | − | 7.65233i | −0.743320 | − | 0.488889i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.139067 | + | 0.322393i | 0.00884861 | + | 0.0205134i | ||||
\(248\) | 10.2402 | + | 10.8540i | 0.650255 | + | 0.689230i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −25.6620 | + | 2.99945i | −1.62301 | + | 0.189702i | ||||
\(251\) | 2.34580 | − | 13.3037i | 0.148066 | − | 0.839722i | −0.816789 | − | 0.576937i | \(-0.804248\pi\) |
0.964854 | − | 0.262785i | \(-0.0846410\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.91857 | − | 10.8807i | −0.120619 | − | 0.684066i | ||||
\(254\) | −4.08524 | − | 13.6456i | −0.256331 | − | 0.856204i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.699229 | + | 12.0053i | 0.0437018 | + | 0.750331i | ||||
\(257\) | −21.8753 | − | 10.9862i | −1.36454 | − | 0.685299i | −0.392423 | − | 0.919785i | \(-0.628363\pi\) |
−0.972120 | + | 0.234486i | \(0.924659\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −14.4834 | + | 15.3515i | −0.899955 | + | 0.953896i | ||||
\(260\) | 0.626909 | + | 0.228176i | 0.0388793 | + | 0.0141509i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −20.0487 | + | 7.29712i | −1.23861 | + | 0.450818i | ||||
\(263\) | −8.59130 | + | 19.9169i | −0.529762 | + | 1.22813i | 0.417795 | + | 0.908541i | \(0.362803\pi\) |
−0.947557 | + | 0.319586i | \(0.896456\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.83286 | − | 6.12219i | 0.112592 | − | 0.376083i | ||||
\(266\) | −2.51251 | − | 0.293670i | −0.154052 | − | 0.0180061i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.0233632 | − | 0.401130i | 0.00142713 | − | 0.0245029i | ||||
\(269\) | −2.87056 | + | 4.97195i | −0.175021 | + | 0.303145i | −0.940169 | − | 0.340710i | \(-0.889333\pi\) |
0.765148 | + | 0.643855i | \(0.222666\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 7.23998 | + | 12.5400i | 0.439798 | + | 0.761752i | 0.997674 | − | 0.0681726i | \(-0.0217169\pi\) |
−0.557876 | + | 0.829924i | \(0.688384\pi\) | |||||||
\(272\) | 7.88839 | − | 3.96170i | 0.478304 | − | 0.240213i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 5.02038 | − | 6.74354i | 0.303292 | − | 0.407392i | ||||
\(275\) | −49.3084 | + | 11.6863i | −2.97341 | + | 0.704711i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 7.07774 | + | 9.50706i | 0.425260 | + | 0.571224i | 0.962182 | − | 0.272408i | \(-0.0878202\pi\) |
−0.536921 | + | 0.843632i | \(0.680413\pi\) | |||||||
\(278\) | −5.82449 | − | 4.88733i | −0.349330 | − | 0.293122i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −17.1870 | + | 14.4216i | −1.02712 | + | 0.861853i | ||||
\(281\) | −14.7822 | − | 3.50346i | −0.881835 | − | 0.208999i | −0.235336 | − | 0.971914i | \(-0.575619\pi\) |
−0.646498 | + | 0.762915i | \(0.723767\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −20.8426 | + | 13.7084i | −1.23896 | + | 0.814880i | −0.988200 | − | 0.153168i | \(-0.951052\pi\) |
−0.250764 | + | 0.968048i | \(0.580682\pi\) | |||||||
\(284\) | 3.09786 | − | 2.03750i | 0.183824 | − | 0.120903i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −1.77146 | − | 0.419844i | −0.104749 | − | 0.0248259i | ||||
\(287\) | 2.05763 | − | 1.72655i | 0.121458 | − | 0.101915i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −4.27421 | − | 3.58648i | −0.251424 | − | 0.210970i | ||||
\(290\) | 8.11274 | + | 10.8973i | 0.476396 | + | 0.639912i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 2.11446 | − | 0.501135i | 0.123739 | − | 0.0293267i | ||||
\(293\) | −5.12105 | + | 6.87876i | −0.299175 | + | 0.401862i | −0.926136 | − | 0.377189i | \(-0.876891\pi\) |
0.626962 | + | 0.779050i | \(0.284298\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 35.0938 | − | 17.6248i | 2.04324 | − | 1.02615i | ||||
\(296\) | −17.4233 | − | 30.1781i | −1.01271 | − | 1.75407i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 13.6758 | − | 23.6871i | 0.792216 | − | 1.37216i | ||||
\(299\) | 0.0412357 | − | 0.707989i | 0.00238472 | − | 0.0409441i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.26266 | − | 0.965767i | −0.476252 | − | 0.0556659i | ||||
\(302\) | 5.01277 | − | 16.7438i | 0.288453 | − | 0.963499i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.16702 | − | 2.70546i | 0.0669333 | − | 0.155169i | ||||
\(305\) | −2.82482 | + | 1.02815i | −0.161749 | + | 0.0588718i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.80059 | + | 0.655362i | 0.102765 | + | 0.0374035i | 0.392891 | − | 0.919585i | \(-0.371475\pi\) |
−0.290126 | + | 0.956989i | \(0.593697\pi\) | |||||||
\(308\) | −3.37393 | + | 3.57615i | −0.192247 | + | 0.203770i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −20.5929 | − | 10.3421i | −1.16960 | − | 0.587394i | ||||
\(311\) | 0.886900 | + | 15.2275i | 0.0502915 | + | 0.863472i | 0.925270 | + | 0.379310i | \(0.123838\pi\) |
−0.874978 | + | 0.484162i | \(0.839124\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 8.80754 | + | 29.4192i | 0.497832 | + | 1.66287i | 0.724790 | + | 0.688969i | \(0.241937\pi\) |
−0.226959 | + | 0.973904i | \(0.572878\pi\) | |||||||
\(314\) | −2.38212 | − | 13.5097i | −0.134431 | − | 0.762395i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.17588 | + | 6.66874i | −0.0661484 | + | 0.375146i | ||||
\(317\) | 22.7971 | − | 2.66460i | 1.28042 | − | 0.149659i | 0.551449 | − | 0.834209i | \(-0.314075\pi\) |
0.728966 | + | 0.684549i | \(0.240001\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 9.53633 | + | 10.1079i | 0.533932 | + | 0.565935i | ||||
\(320\) | −13.7464 | − | 31.8677i | −0.768447 | − | 1.78146i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 4.26890 | + | 2.80770i | 0.237896 | + | 0.156467i | ||||
\(323\) | 3.81197 | 0.212104 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3.25269 | −0.180427 | ||||||||
\(326\) | −0.795696 | − | 0.523337i | −0.0440695 | − | 0.0289850i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.75656 | + | 4.07217i | 0.0969900 | + | 0.224848i | ||||
\(329\) | 5.01388 | + | 5.31440i | 0.276424 | + | 0.292992i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.894983 | − | 0.104608i | 0.0491927 | − | 0.00574980i | −0.0914610 | − | 0.995809i | \(-0.529154\pi\) |
0.140654 | + | 0.990059i | \(0.455080\pi\) | |||||||
\(332\) | −0.701029 | + | 3.97573i | −0.0384740 | + | 0.218197i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.21573 | + | 6.89476i | 0.0665219 | + | 0.377265i | ||||
\(335\) | 0.830698 | + | 2.77472i | 0.0453859 | + | 0.151599i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.04455 | + | 35.1035i | 0.111374 | + | 1.91221i | 0.342885 | + | 0.939377i | \(0.388596\pi\) |
−0.231511 | + | 0.972832i | \(0.574367\pi\) | |||||||
\(338\) | 13.9073 | + | 6.98450i | 0.756457 | + | 0.379907i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 4.97055 | − | 5.26848i | 0.269566 | − | 0.285723i | ||||
\(341\) | −22.1498 | − | 8.06188i | −1.19948 | − | 0.436575i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.4205 | − | 6.70453i | 0.994616 | − | 0.362010i | ||||
\(344\) | 5.44023 | − | 12.6119i | 0.293318 | − | 0.679987i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.20291 | + | 4.01801i | −0.0646690 | + | 0.216010i | ||||
\(347\) | 15.0726 | + | 1.76174i | 0.809142 | + | 0.0945751i | 0.510597 | − | 0.859820i | \(-0.329425\pi\) |
0.298545 | + | 0.954396i | \(0.403499\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.64660 | − | 28.2711i | 0.0881406 | − | 1.51332i | −0.607151 | − | 0.794587i | \(-0.707688\pi\) |
0.695291 | − | 0.718728i | \(-0.255275\pi\) | |||||||
\(350\) | 11.7173 | − | 20.2949i | 0.626315 | − | 1.08481i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −7.24806 | − | 12.5540i | −0.386323 | − | 0.669131i | ||||
\(353\) | −14.8471 | + | 7.45651i | −0.790233 | + | 0.396870i | −0.797664 | − | 0.603102i | \(-0.793931\pi\) |
0.00743042 | + | 0.999972i | \(0.497635\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −15.9606 | + | 21.4388i | −0.847102 | + | 1.13786i | ||||
\(356\) | −2.88439 | + | 0.683613i | −0.152872 | + | 0.0362314i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 5.62934 | + | 7.56152i | 0.297520 | + | 0.399639i | ||||
\(359\) | −10.7593 | − | 9.02816i | −0.567856 | − | 0.476488i | 0.313077 | − | 0.949728i | \(-0.398640\pi\) |
−0.880934 | + | 0.473239i | \(0.843085\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −13.5801 | + | 11.3951i | −0.714745 | + | 0.599742i | ||||
\(362\) | −13.7246 | − | 3.25278i | −0.721348 | − | 0.170963i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.263666 | + | 0.173416i | −0.0138198 | + | 0.00908946i | ||||
\(365\) | −13.0871 | + | 8.60753i | −0.685011 | + | 0.450539i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 5.32264 | + | 1.26149i | 0.277840 | + | 0.0658492i | 0.367173 | − | 0.930153i | \(-0.380326\pi\) |
−0.0893336 | + | 0.996002i | \(0.528474\pi\) | |||||||
\(368\) | −4.55902 | + | 3.82547i | −0.237656 | + | 0.199417i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 41.2232 | + | 34.5903i | 2.14309 | + | 1.79827i | ||||
\(371\) | 1.80522 | + | 2.42484i | 0.0937225 | + | 0.125891i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 27.5326 | − | 6.52534i | 1.42558 | − | 0.337869i | 0.555805 | − | 0.831313i | \(-0.312410\pi\) |
0.869778 | + | 0.493443i | \(0.164262\pi\) | |||||||
\(374\) | −11.8031 | + | 15.8544i | −0.610325 | + | 0.819809i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −10.7801 | + | 5.41398i | −0.555942 | + | 0.279205i | ||||
\(377\) | 0.445994 | + | 0.772485i | 0.0229699 | + | 0.0397850i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −8.11043 | + | 14.0477i | −0.416605 | + | 0.721580i | −0.995595 | − | 0.0937537i | \(-0.970113\pi\) |
0.578991 | + | 0.815334i | \(0.303447\pi\) | |||||||
\(380\) | 0.140574 | − | 2.41356i | 0.00721130 | − | 0.123813i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 17.4319 | + | 2.03750i | 0.891895 | + | 0.104248i | ||||
\(383\) | 4.24796 | − | 14.1892i | 0.217061 | − | 0.725033i | −0.778220 | − | 0.627992i | \(-0.783877\pi\) |
0.995280 | − | 0.0970408i | \(-0.0309377\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 14.0372 | − | 32.5418i | 0.715401 | − | 1.65848i | ||||
\(386\) | 19.2874 | − | 7.02006i | 0.981705 | − | 0.357311i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 2.35952 | + | 0.858795i | 0.119787 | + | 0.0435987i | ||||
\(389\) | 5.12493 | − | 5.43211i | 0.259844 | − | 0.275419i | −0.584297 | − | 0.811540i | \(-0.698630\pi\) |
0.844141 | + | 0.536121i | \(0.180111\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −6.88065 | − | 3.45559i | −0.347969 | − | 0.174757i | ||||
\(392\) | 0.632402 | + | 10.8579i | 0.0319411 | + | 0.548408i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 4.30707 | + | 14.3866i | 0.216987 | + | 0.724787i | ||||
\(395\) | −8.47619 | − | 48.0709i | −0.426484 | − | 2.41871i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5.20739 | + | 29.5326i | −0.261351 | + | 1.48220i | 0.517876 | + | 0.855455i | \(0.326723\pi\) |
−0.779228 | + | 0.626741i | \(0.784388\pi\) | |||||||
\(398\) | −25.8367 | + | 3.01987i | −1.29507 | + | 0.151372i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 18.7317 | + | 19.8544i | 0.936583 | + | 0.992720i | ||||
\(401\) | −2.59509 | − | 6.01608i | −0.129592 | − | 0.300429i | 0.841050 | − | 0.540958i | \(-0.181938\pi\) |
−0.970642 | + | 0.240529i | \(0.922679\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.26410 | − | 0.831409i | −0.0629691 | − | 0.0414154i | ||||
\(404\) | −5.85891 | −0.291492 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −6.42647 | −0.318941 | ||||||||
\(407\) | 45.9890 | + | 30.2474i | 2.27959 | + | 1.49931i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.707379 | + | 1.63989i | 0.0349776 | + | 0.0810873i | 0.934809 | − | 0.355150i | \(-0.115570\pi\) |
−0.899832 | + | 0.436237i | \(0.856311\pi\) | |||||||
\(410\) | −4.69985 | − | 4.98155i | −0.232109 | − | 0.246021i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −6.36261 | + | 0.743682i | −0.313463 | + | 0.0366386i | ||||
\(413\) | −3.22579 | + | 18.2944i | −0.158731 | + | 0.900207i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −5.05329 | − | 28.6586i | −0.248056 | − | 1.40680i | ||||
\(416\) | −0.266864 | − | 0.891389i | −0.0130841 | − | 0.0437040i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.383606 | + | 6.58626i | 0.0187628 | + | 0.322145i | ||||
\(419\) | 18.5168 | + | 9.29947i | 0.904603 | + | 0.454309i | 0.839370 | − | 0.543561i | \(-0.182924\pi\) |
0.0652339 | + | 0.997870i | \(0.479221\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −13.0106 | + | 13.7904i | −0.634097 | + | 0.672103i | −0.962139 | − | 0.272560i | \(-0.912130\pi\) |
0.328042 | + | 0.944663i | \(0.393611\pi\) | |||||||
\(422\) | −14.3686 | − | 5.22976i | −0.699454 | − | 0.254581i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −4.69024 | + | 1.70711i | −0.227778 | + | 0.0829045i | ||||
\(425\) | −13.9873 | + | 32.4262i | −0.678484 | + | 1.57290i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.407835 | − | 1.36226i | 0.0197365 | − | 0.0659245i | ||||
\(428\) | −3.47684 | − | 0.406384i | −0.168059 | − | 0.0196433i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1.23331 | + | 21.1751i | −0.0594754 | + | 1.02115i | ||||
\(431\) | −0.254281 | + | 0.440427i | −0.0122483 | + | 0.0212146i | −0.872085 | − | 0.489355i | \(-0.837232\pi\) |
0.859836 | + | 0.510570i | \(0.170566\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 10.9606 | + | 18.9844i | 0.526734 | + | 0.912330i | 0.999515 | + | 0.0311498i | \(0.00991689\pi\) |
−0.472781 | + | 0.881180i | \(0.656750\pi\) | |||||||
\(434\) | 9.74120 | − | 4.89221i | 0.467593 | − | 0.234834i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.12110 | + | 1.50589i | −0.0536908 | + | 0.0721192i | ||||
\(437\) | −2.50075 | + | 0.592689i | −0.119627 | + | 0.0283521i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −20.1006 | − | 26.9997i | −0.959347 | − | 1.28863i | −0.957441 | − | 0.288629i | \(-0.906801\pi\) |
−0.00190618 | − | 0.999998i | \(-0.500607\pi\) | |||||||
\(440\) | 44.8249 | + | 37.6125i | 2.13694 | + | 1.79311i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.971889 | + | 0.815511i | −0.0462280 | + | 0.0387899i | ||||
\(443\) | −11.9279 | − | 2.82696i | −0.566711 | − | 0.134313i | −0.0627341 | − | 0.998030i | \(-0.519982\pi\) |
−0.503976 | + | 0.863717i | \(0.668130\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 17.8525 | − | 11.7418i | 0.846291 | − | 0.556614i | ||||
\(446\) | −4.96265 | + | 3.26398i | −0.234988 | + | 0.154554i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 15.9748 | + | 3.78609i | 0.754736 | + | 0.178876i | ||||
\(449\) | 19.3898 | − | 16.2699i | 0.915060 | − | 0.767826i | −0.0580153 | − | 0.998316i | \(-0.518477\pi\) |
0.973075 | + | 0.230490i | \(0.0740328\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −5.36645 | − | 4.50299i | −0.252696 | − | 0.212037i | ||||
\(452\) | −5.04805 | − | 6.78071i | −0.237440 | − | 0.318938i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 7.54224 | − | 1.78754i | 0.353975 | − | 0.0838935i | ||||
\(455\) | 1.35844 | − | 1.82471i | 0.0636848 | − | 0.0855436i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −26.1808 | + | 13.1485i | −1.22469 | + | 0.615060i | −0.939216 | − | 0.343327i | \(-0.888446\pi\) |
−0.285470 | + | 0.958388i | \(0.592150\pi\) | |||||||
\(458\) | 17.9334 | + | 31.0616i | 0.837973 | + | 1.45141i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −2.44166 | + | 4.22908i | −0.113843 | + | 0.197182i | ||||
\(461\) | −0.745295 | + | 12.7962i | −0.0347119 | + | 0.595980i | 0.935441 | + | 0.353484i | \(0.115003\pi\) |
−0.970152 | + | 0.242496i | \(0.922034\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −10.2547 | − | 1.19861i | −0.476578 | − | 0.0557040i | −0.125587 | − | 0.992083i | \(-0.540081\pi\) |
−0.350992 | + | 0.936379i | \(0.614155\pi\) | |||||||
\(464\) | 2.14684 | − | 7.17094i | 0.0996645 | − | 0.332902i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −10.3850 | + | 24.0751i | −0.481075 | + | 1.11526i | ||||
\(467\) | −6.54957 | + | 2.38385i | −0.303078 | + | 0.110311i | −0.489083 | − | 0.872238i | \(-0.662668\pi\) |
0.186005 | + | 0.982549i | \(0.440446\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.28748 | − | 0.468604i | −0.0594502 | − | 0.0216381i | ||||
\(470\) | 12.7840 | − | 13.5503i | 0.589683 | − | 0.625027i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −27.4090 | − | 13.7653i | −1.26160 | − | 0.633600i | ||||
\(473\) | 1.26153 | + | 21.6596i | 0.0580053 | + | 0.995912i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 3.38067 | + | 11.2922i | 0.155116 | + | 0.518123i | ||||
\(476\) | 0.594967 | + | 3.37422i | 0.0272702 | + | 0.154657i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −1.24578 | + | 7.06518i | −0.0569807 | + | 0.323154i | ||||
\(479\) | 33.2090 | − | 3.88157i | 1.51736 | − | 0.177354i | 0.683752 | − | 0.729714i | \(-0.260347\pi\) |
0.833605 | + | 0.552361i | \(0.186273\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.42463 | + | 2.56996i | 0.110554 | + | 0.117180i | ||||
\(482\) | 0.566601 | + | 1.31353i | 0.0258080 | + | 0.0598296i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 5.70182 | + | 3.75015i | 0.259174 | + | 0.170461i | ||||
\(485\) | −18.0999 | −0.821874 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −8.67546 | −0.393122 | −0.196561 | − | 0.980492i | \(-0.562977\pi\) | ||||
−0.196561 | + | 0.980492i | \(0.562977\pi\) | |||||||
\(488\) | 1.96159 | + | 1.29016i | 0.0887971 | + | 0.0584028i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −6.65258 | − | 15.4224i | −0.300533 | − | 0.696714i | ||||
\(491\) | −11.0320 | − | 11.6932i | −0.497866 | − | 0.527707i | 0.428897 | − | 0.903353i | \(-0.358902\pi\) |
−0.926763 | + | 0.375646i | \(0.877421\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 9.61881 | − | 1.12428i | 0.433209 | − | 0.0506349i | ||||
\(494\) | −0.0735360 | + | 0.417043i | −0.00330854 | + | 0.0187637i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.20478 | + | 12.5040i | 0.0989977 | + | 0.561444i | ||||
\(497\) | −3.62609 | − | 12.1120i | −0.162653 | − | 0.543297i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.449179 | − | 7.71210i | −0.0201080 | − | 0.345241i | −0.993325 | − | 0.115351i | \(-0.963201\pi\) |
0.973217 | − | 0.229889i | \(-0.0738365\pi\) | |||||||
\(500\) | 10.4383 | + | 5.24232i | 0.466816 | + | 0.234444i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 11.1812 | − | 11.8513i | 0.499040 | − | 0.528951i | ||||
\(503\) | 30.5447 | + | 11.1174i | 1.36192 | + | 0.495698i | 0.916647 | − | 0.399697i | \(-0.130885\pi\) |
0.445272 | + | 0.895395i | \(0.353107\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 39.6864 | − | 14.4447i | 1.76602 | − | 0.642778i | ||||
\(506\) | 5.27811 | − | 12.2360i | 0.234641 | − | 0.543958i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.84694 | + | 6.16920i | −0.0819446 | + | 0.273714i | ||||
\(509\) | −1.24093 | − | 0.145044i | −0.0550034 | − | 0.00642898i | 0.0885467 | − | 0.996072i | \(-0.471778\pi\) |
−0.143550 | + | 0.989643i | \(0.545852\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.430834 | − | 7.39713i | 0.0190590 | − | 0.327230i | ||||
\(512\) | −11.9231 | + | 20.6514i | −0.526931 | + | 0.912671i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −14.7623 | − | 25.5690i | −0.651136 | − | 1.12780i | ||||
\(515\) | 41.2647 | − | 20.7239i | 1.81834 | − | 0.913205i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 11.3791 | − | 15.2847i | 0.500451 | − | 0.672222i | ||||
\(518\) | −24.7694 | + | 5.87045i | −1.08830 | + | 0.257933i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.24290 | + | 3.01274i | 0.0983577 | + | 0.132117i | ||||
\(521\) | −17.9588 | − | 15.0692i | −0.786787 | − | 0.660193i | 0.158161 | − | 0.987413i | \(-0.449444\pi\) |
−0.944948 | + | 0.327220i | \(0.893888\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 26.2642 | − | 22.0383i | 1.14845 | − | 0.963666i | 0.148770 | − | 0.988872i | \(-0.452469\pi\) |
0.999682 | + | 0.0252058i | \(0.00802411\pi\) | |||||||
\(524\) | 9.38573 | + | 2.22446i | 0.410018 | + | 0.0971760i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −21.8577 | + | 14.3761i | −0.953043 | + | 0.626826i | ||||
\(527\) | −13.7242 | + | 9.02658i | −0.597838 | + | 0.393204i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −17.3289 | − | 4.10702i | −0.753429 | − | 0.178566i | ||||
\(530\) | 5.90458 | − | 4.95453i | 0.256479 | − | 0.215211i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.876079 | + | 0.735118i | 0.0379828 | + | 0.0318714i | ||||
\(533\) | −0.268521 | − | 0.360686i | −0.0116309 | − | 0.0156230i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 24.5529 | − | 5.81914i | 1.06151 | − | 0.251583i | ||||
\(536\) | 1.35086 | − | 1.81453i | 0.0583485 | − | 0.0783756i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −6.18791 | + | 3.10769i | −0.266780 | + | 0.133982i | ||||
\(539\) | −8.59021 | − | 14.8787i | −0.370007 | − | 0.640870i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 7.30619 | − | 12.6547i | 0.314118 | − | 0.544068i | −0.665132 | − | 0.746726i | \(-0.731625\pi\) |
0.979250 | + | 0.202658i | \(0.0649580\pi\) | |||||||
\(542\) | −1.01547 | + | 17.4350i | −0.0436182 | + | 0.748896i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −10.0339 | − | 1.17279i | −0.430199 | − | 0.0502830i | ||||
\(545\) | 3.88128 | − | 12.9644i | 0.166256 | − | 0.555334i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6.01211 | + | 13.9376i | −0.257059 | + | 0.595931i | −0.997056 | − | 0.0766801i | \(-0.975568\pi\) |
0.739996 | + | 0.672611i | \(0.234827\pi\) | |||||||
\(548\) | −3.57164 | + | 1.29997i | −0.152573 | + | 0.0555320i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −57.4331 | − | 20.9040i | −2.44896 | − | 0.891348i | ||||
\(551\) | 2.21826 | − | 2.35121i | 0.0945009 | − | 0.100165i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 20.6341 | + | 10.3628i | 0.877449 | + | 0.440672i | ||||
\(554\) | 0.831199 | + | 14.2711i | 0.0353143 | + | 0.606323i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.985878 | + | 3.29306i | 0.0418105 | + | 0.139657i | ||||
\(557\) | 2.44666 | + | 13.8757i | 0.103668 | + | 0.587931i | 0.991744 | + | 0.128234i | \(0.0409309\pi\) |
−0.888076 | + | 0.459697i | \(0.847958\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.241831 | + | 1.37149i | −0.0102284 | + | 0.0580079i | ||||
\(560\) | −18.9610 | + | 2.21622i | −0.801249 | + | 0.0936526i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −12.5740 | − | 13.3277i | −0.530402 | − | 0.562193i | ||||
\(563\) | −14.1864 | − | 32.8877i | −0.597884 | − | 1.38605i | −0.901302 | − | 0.433192i | \(-0.857387\pi\) |
0.303418 | − | 0.952858i | \(-0.401872\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 50.9111 | + | 33.4848i | 2.14185 | + | 1.40871i | ||||
\(566\) | −30.0885 | −1.26471 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 20.8748 | 0.875889 | ||||||||
\(569\) | −23.4530 | − | 15.4253i | −0.983200 | − | 0.646661i | −0.0472828 | − | 0.998882i | \(-0.515056\pi\) |
−0.935917 | + | 0.352221i | \(0.885427\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −18.5275 | − | 42.9516i | −0.775353 | − | 1.79747i | −0.575817 | − | 0.817579i | \(-0.695316\pi\) |
−0.199536 | − | 0.979890i | \(-0.563943\pi\) | |||||||
\(572\) | 0.564821 | + | 0.598676i | 0.0236164 | + | 0.0250319i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 3.21777 | − | 0.376104i | 0.134307 | − | 0.0156983i | ||||
\(575\) | 4.13438 | − | 23.4472i | 0.172415 | − | 0.977816i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 3.26382 | + | 18.5100i | 0.135875 | + | 0.770583i | 0.974247 | + | 0.225485i | \(0.0723966\pi\) |
−0.838372 | + | 0.545098i | \(0.816492\pi\) | |||||||
\(578\) | −1.93008 | − | 6.44690i | −0.0802806 | − | 0.268156i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.357128 | − | 6.13165i | −0.0148289 | − | 0.254603i | ||||
\(581\) | 12.3015 | + | 6.17804i | 0.510352 | + | 0.256308i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 5.41051 | − | 5.73481i | 0.224081 | − | 0.237512i | ||||
\(584\) | 11.4962 | + | 4.18426i | 0.475714 | + | 0.173146i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −9.71950 | + | 3.53761i | −0.401509 | + | 0.146137i | ||||
\(587\) | 0.387163 | − | 0.897546i | 0.0159799 | − | 0.0370457i | −0.910039 | − | 0.414522i | \(-0.863949\pi\) |
0.926019 | + | 0.377476i | \(0.123208\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.57253 | + | 5.25262i | −0.0647950 | + | 0.216431i | ||||
\(590\) | 47.0450 | + | 5.49877i | 1.93681 | + | 0.226381i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.72399 | − | 29.5998i | 0.0708557 | − | 1.21655i | ||||
\(593\) | −19.3929 | + | 33.5896i | −0.796372 | + | 1.37936i | 0.125592 | + | 0.992082i | \(0.459917\pi\) |
−0.921964 | + | 0.387276i | \(0.873416\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −12.3490 | − | 21.3890i | −0.506258 | − | 0.876865i | ||||
\(596\) | −11.0504 | + | 5.54970i | −0.452640 | + | 0.227324i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.510788 | − | 0.686107i | 0.0208877 | − | 0.0280570i | ||||
\(599\) | 32.3773 | − | 7.67356i | 1.32290 | − | 0.313533i | 0.492312 | − | 0.870419i | \(-0.336152\pi\) |
0.830589 | + | 0.556886i | \(0.188004\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −12.1572 | − | 16.3299i | −0.495901 | − | 0.666111i | 0.481759 | − | 0.876304i | \(-0.339998\pi\) |
−0.977660 | + | 0.210193i | \(0.932591\pi\) | |||||||
\(602\) | −7.68616 | − | 6.44945i | −0.313264 | − | 0.262860i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −6.05317 | + | 5.07922i | −0.246300 | + | 0.206670i | ||||
\(605\) | −47.8679 | − | 11.3449i | −1.94611 | − | 0.461236i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 1.32559 | − | 0.871857i | 0.0538042 | − | 0.0353876i | −0.522322 | − | 0.852748i | \(-0.674934\pi\) |
0.576126 | + | 0.817361i | \(0.304564\pi\) | |||||||
\(608\) | −2.81723 | + | 1.85292i | −0.114254 | + | 0.0751459i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −3.52799 | − | 0.836148i | −0.142844 | − | 0.0338547i | ||||
\(611\) | 0.936970 | − | 0.786211i | 0.0379058 | − | 0.0318067i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −5.23563 | − | 4.39322i | −0.211465 | − | 0.177440i | 0.530903 | − | 0.847433i | \(-0.321853\pi\) |
−0.742368 | + | 0.669992i | \(0.766297\pi\) | |||||||
\(614\) | 1.38009 | + | 1.85379i | 0.0556960 | + | 0.0748127i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −26.9335 | + | 6.38336i | −1.08518 | + | 0.257193i | ||||
\(617\) | −0.243038 | + | 0.326456i | −0.00978434 | + | 0.0131426i | −0.806988 | − | 0.590567i | \(-0.798904\pi\) |
0.797204 | + | 0.603710i | \(0.206311\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 8.95900 | − | 4.49938i | 0.360093 | − | 0.180845i | −0.259550 | − | 0.965730i | \(-0.583574\pi\) |
0.619642 | + | 0.784885i | \(0.287278\pi\) | |||||||
\(620\) | 5.20911 | + | 9.02245i | 0.209203 | + | 0.362350i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −9.19862 | + | 15.9325i | −0.368831 | + | 0.638834i | ||||
\(623\) | −0.587713 | + | 10.0906i | −0.0235462 | + | 0.404273i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −31.7342 | − | 3.70920i | −1.26937 | − | 0.148368i | ||||
\(626\) | −10.6229 | + | 35.4830i | −0.424577 | + | 1.41819i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −2.45647 | + | 5.69473i | −0.0980237 | + | 0.227245i | ||||
\(629\) | 36.0465 | − | 13.1199i | 1.43727 | − | 0.523123i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −14.7754 | − | 5.37779i | −0.588198 | − | 0.214086i | 0.0307388 | − | 0.999527i | \(-0.490214\pi\) |
−0.618937 | + | 0.785441i | \(0.712436\pi\) | |||||||
\(632\) | −26.1620 | + | 27.7301i | −1.04067 | + | 1.10304i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 24.7386 | + | 12.4242i | 0.982495 | + | 0.493428i | ||||
\(635\) | −2.69909 | − | 46.3416i | −0.107110 | − | 1.83901i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.316281 | − | 1.05645i | −0.0125315 | − | 0.0418581i | ||||
\(638\) | 2.91047 | + | 16.5061i | 0.115227 | + | 0.653483i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 3.18813 | − | 18.0808i | 0.126022 | − | 0.714706i | ||||
\(641\) | −7.99000 | + | 0.933897i | −0.315586 | + | 0.0368867i | −0.272412 | − | 0.962181i | \(-0.587821\pi\) |
−0.0431744 | + | 0.999068i | \(0.513747\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 6.55424 | + | 6.94709i | 0.258474 | + | 0.273966i | 0.843595 | − | 0.536979i | \(-0.180435\pi\) |
−0.585121 | + | 0.810946i | \(0.698953\pi\) | |||||||
\(644\) | −0.914941 | − | 2.12107i | −0.0360537 | − | 0.0835820i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 3.84130 | + | 2.52646i | 0.151134 | + | 0.0994023i | ||||
\(647\) | 36.6579 | 1.44117 | 0.720586 | − | 0.693365i | \(-0.243873\pi\) | ||||
0.720586 | + | 0.693365i | \(0.243873\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 48.4492 | 1.90180 | ||||||||
\(650\) | −3.27772 | − | 2.15579i | −0.128563 | − | 0.0845571i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0.170539 | + | 0.395355i | 0.00667884 | + | 0.0154833i | ||||
\(653\) | −13.2604 | − | 14.0552i | −0.518918 | − | 0.550021i | 0.413922 | − | 0.910312i | \(-0.364159\pi\) |
−0.932840 | + | 0.360292i | \(0.882677\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −69.0601 | + | 8.07196i | −2.69840 | + | 0.315398i | ||||
\(656\) | −0.655261 | + | 3.71617i | −0.0255836 | + | 0.145092i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 1.53023 | + | 8.67834i | 0.0596544 | + | 0.338317i | ||||
\(659\) | 8.84575 | + | 29.5469i | 0.344582 | + | 1.15098i | 0.938159 | + | 0.346205i | \(0.112530\pi\) |
−0.593577 | + | 0.804777i | \(0.702285\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −0.928413 | − | 15.9402i | −0.0361111 | − | 0.620003i | −0.967012 | − | 0.254731i | \(-0.918013\pi\) |
0.930901 | − | 0.365272i | \(-0.119024\pi\) | |||||||
\(662\) | 0.971201 | + | 0.487755i | 0.0377468 | + | 0.0189572i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −15.5971 | + | 16.5320i | −0.605285 | + | 0.641565i | ||||
\(665\) | −7.74664 | − | 2.81955i | −0.300402 | − | 0.109337i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −6.13538 | + | 2.23310i | −0.237563 | + | 0.0864659i | ||||
\(668\) | 1.25368 | − | 2.90635i | 0.0485062 | − | 0.112450i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.00192 | + | 3.34664i | −0.0387074 | + | 0.129292i | ||||
\(671\) | −3.68361 | − | 0.430553i | −0.142204 | − | 0.0166213i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 2.23562 | − | 38.3841i | 0.0861768 | − | 1.47960i | −0.627223 | − | 0.778840i | \(-0.715808\pi\) |
0.713399 | − | 0.700758i | \(-0.247155\pi\) | |||||||
\(674\) | −21.2053 | + | 36.7287i | −0.816798 | + | 1.41474i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −3.51794 | − | 6.09325i | −0.135305 | − | 0.234356i | ||||
\(677\) | 11.6642 | − | 5.85800i | 0.448293 | − | 0.225141i | −0.210305 | − | 0.977636i | \(-0.567446\pi\) |
0.658599 | + | 0.752494i | \(0.271150\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 5.11283 | − | 6.86772i | 0.196212 | − | 0.263559i | ||||
\(680\) | 39.6791 | − | 9.40411i | 1.52162 | − | 0.360631i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −16.9771 | − | 22.8042i | −0.650087 | − | 0.873218i | ||||
\(683\) | −6.97390 | − | 5.85180i | −0.266849 | − | 0.223913i | 0.499538 | − | 0.866292i | \(-0.333503\pi\) |
−0.766387 | + | 0.642379i | \(0.777947\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 20.9882 | − | 17.6112i | 0.801916 | − | 0.672888i | ||||
\(686\) | 23.0058 | + | 5.45249i | 0.878367 | + | 0.208177i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 9.76423 | − | 6.42203i | 0.372258 | − | 0.244838i | ||||
\(689\) | 0.422821 | − | 0.278094i | 0.0161082 | − | 0.0105945i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 11.6461 | + | 2.76019i | 0.443040 | + | 0.105002i | 0.446080 | − | 0.894993i | \(-0.352820\pi\) |
−0.00304009 | + | 0.999995i | \(0.500968\pi\) | |||||||
\(692\) | 1.45258 | − | 1.21886i | 0.0552187 | − | 0.0463340i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 14.0210 | + | 11.7650i | 0.532229 | + | 0.446594i | ||||
\(695\) | −14.7968 | − | 19.8755i | −0.561273 | − | 0.753921i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −4.75039 | + | 1.12586i | −0.179934 | + | 0.0426451i | ||||
\(698\) | 20.3965 | − | 27.3973i | 0.772020 | − | 1.03700i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −9.46784 | + | 4.75493i | −0.357851 | + | 0.179719i | ||||
\(701\) | 0.441721 | + | 0.765084i | 0.0166836 | + | 0.0288968i | 0.874247 | − | 0.485482i | \(-0.161356\pi\) |
−0.857563 | + | 0.514379i | \(0.828023\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 6.40198 | − | 11.0886i | 0.241455 | − | 0.418213i | ||||
\(704\) | 2.48962 | − | 42.7451i | 0.0938310 | − | 1.61102i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −19.9033 | − | 2.32637i | −0.749072 | − | 0.0875540i | ||||
\(707\) | −5.72973 | + | 19.1386i | −0.215489 | + | 0.719783i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 9.37251 | − | 21.7279i | 0.351992 | − | 0.816009i | −0.646593 | − | 0.762835i | \(-0.723807\pi\) |
0.998585 | − | 0.0531741i | \(-0.0169338\pi\) | |||||||
\(710\) | −30.2925 | + | 11.0256i | −1.13686 | + | 0.413782i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −15.6823 | − | 5.70787i | −0.587717 | − | 0.213912i | ||||
\(713\) | 7.60000 | − | 8.05553i | 0.284622 | − | 0.301682i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.30190 | − | 2.66271i | −0.198280 | − | 0.0995798i | ||||
\(716\) | −0.247807 | − | 4.25469i | −0.00926100 | − | 0.159005i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −4.85853 | − | 16.2286i | −0.181319 | − | 0.605647i | ||||
\(719\) | 4.25311 | + | 24.1206i | 0.158614 | + | 0.899547i | 0.955407 | + | 0.295293i | \(0.0954174\pi\) |
−0.796792 | + | 0.604253i | \(0.793471\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −3.79302 | + | 21.5113i | −0.141259 | + | 0.801122i | ||||
\(722\) | −21.2370 | + | 2.48225i | −0.790359 | + | 0.0923797i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 4.37601 | + | 4.63830i | 0.162633 | + | 0.172381i | ||||
\(725\) | 11.8610 | + | 27.4968i | 0.440505 | + | 1.02121i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 6.90593 | + | 4.54210i | 0.256127 | + | 0.168457i | 0.671079 | − | 0.741386i | \(-0.265831\pi\) |
−0.414952 | + | 0.909843i | \(0.636202\pi\) | |||||||
\(728\) | −1.77670 | −0.0658490 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −18.8926 | −0.699248 | ||||||||
\(731\) | 12.6325 | + | 8.30855i | 0.467231 | + | 0.307303i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −6.03471 | − | 13.9900i | −0.222897 | − | 0.516734i | 0.769668 | − | 0.638444i | \(-0.220422\pi\) |
−0.992566 | + | 0.121710i | \(0.961162\pi\) | |||||||
\(734\) | 4.52752 | + | 4.79889i | 0.167114 | + | 0.177130i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 6.76483 | − | 0.790695i | 0.249355 | − | 0.0291454i | ||||
\(737\) | −0.620504 | + | 3.51905i | −0.0228565 | + | 0.129626i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 4.97375 | + | 28.2075i | 0.182962 | + | 1.03763i | 0.928545 | + | 0.371219i | \(0.121060\pi\) |
−0.745583 | + | 0.666413i | \(0.767829\pi\) | |||||||
\(740\) | −6.97761 | − | 23.3068i | −0.256502 | − | 0.856776i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.212003 | + | 3.63994i | 0.00778286 | + | 0.133627i | ||||
\(743\) | 13.1865 | + | 6.62253i | 0.483767 | + | 0.242957i | 0.673929 | − | 0.738796i | \(-0.264605\pi\) |
−0.190162 | + | 0.981753i | \(0.560901\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 61.1691 | − | 64.8355i | 2.24106 | − | 2.37539i | ||||
\(746\) | 32.0692 | + | 11.6723i | 1.17414 | + | 0.427352i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 8.39708 | − | 3.05629i | 0.307028 | − | 0.111749i | ||||
\(749\) | −4.72767 | + | 10.9600i | −0.172745 | + | 0.400468i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.13409 | − | 7.12836i | 0.0778741 | − | 0.260118i | −0.910183 | − | 0.414207i | \(-0.864059\pi\) |
0.988057 | + | 0.154089i | \(0.0492443\pi\) | |||||||
\(752\) | −10.1949 | − | 1.19161i | −0.371768 | − | 0.0434535i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.0625546 | + | 1.07402i | −0.00227810 | + | 0.0391135i | ||||
\(755\) | 28.4798 | − | 49.3285i | 1.03649 | − | 1.79525i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −5.40930 | − | 9.36918i | −0.196604 | − | 0.340529i | 0.750821 | − | 0.660506i | \(-0.229658\pi\) |
−0.947425 | + | 0.319977i | \(0.896325\pi\) | |||||||
\(758\) | −17.4832 | + | 8.78041i | −0.635019 | + | 0.318919i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 8.12803 | − | 10.9178i | 0.294835 | − | 0.396032i | ||||
\(761\) | −5.54356 | + | 1.31385i | −0.200954 | + | 0.0476270i | −0.329860 | − | 0.944030i | \(-0.607002\pi\) |
0.128906 | + | 0.991657i | \(0.458853\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 3.82275 | + | 5.13485i | 0.138393 | + | 0.185894i | ||||
\(764\) | −6.07829 | − | 5.10029i | −0.219905 | − | 0.184522i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 13.6848 | − | 11.4829i | 0.494453 | − | 0.414895i | ||||
\(767\) | 3.02604 | + | 0.717184i | 0.109264 | + | 0.0258960i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 13.7817 | − | 9.06435i | 0.496980 | − | 0.326869i | −0.276152 | − | 0.961114i | \(-0.589059\pi\) |
0.773132 | + | 0.634245i | \(0.218689\pi\) | |||||||
\(770\) | 35.7130 | − | 23.4888i | 1.28701 | − | 0.846477i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −9.02936 | − | 2.14000i | −0.324974 | − | 0.0770202i | ||||
\(773\) | −1.26612 | + | 1.06240i | −0.0455393 | + | 0.0382121i | −0.665273 | − | 0.746600i | \(-0.731685\pi\) |
0.619734 | + | 0.784812i | \(0.287241\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −38.9109 | − | 32.6502i | −1.39772 | − | 1.17283i | ||||
\(776\) | 8.44168 | + | 11.3391i | 0.303039 | + | 0.407052i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 8.76461 | − | 2.07725i | 0.314226 | − | 0.0744730i | ||||
\(779\) | −0.973091 | + | 1.30709i | −0.0348646 | + | 0.0468313i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −29.4669 | + | 14.7988i | −1.05441 | + | 0.529544i | ||||