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 | 28.3 | ||
Character | \(\chi\) | \(=\) | 729.28 |
Dual form | 729.2.g.b.703.3 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{22}{27}\right)\) |
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 | \(-0.825413\pi\) |
0.140769 | + | 0.990042i | \(0.455042\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.215977 | + | 0.500690i | −0.107988 | + | 0.250345i | ||||
\(5\) | −2.69736 | + | 2.85904i | −1.20630 | + | 1.27860i | −0.256208 | + | 0.966622i | \(0.582473\pi\) |
−0.950089 | + | 0.311979i | \(0.899008\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.84676 | − | 0.215855i | −0.698010 | − | 0.0815857i | −0.240315 | − | 0.970695i | \(-0.577251\pi\) |
−0.457695 | + | 0.889109i | \(0.651325\pi\) | |||||||
\(8\) | −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 | 0.443983 | + | 0.896035i | \(0.353565\pi\) |
−0.863322 | + | 0.504654i | \(0.831620\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.0180985 | − | 0.310740i | 0.00501963 | − | 0.0861838i | −0.994868 | − | 0.101183i | \(-0.967737\pi\) |
0.999888 | + | 0.0149987i | \(0.00477443\pi\) | |||||||
\(14\) | 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 | \(-0.745517\pi\) |
−0.0731188 | + | 0.997323i | \(0.523295\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.05997 | + | 0.385798i | 0.243174 | + | 0.0885081i | 0.460732 | − | 0.887539i | \(-0.347587\pi\) |
−0.217558 | + | 0.976047i | \(0.569809\pi\) | |||||||
\(20\) | −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 | \(-0.460696\pi\) |
0.348703 | + | 0.937233i | \(0.386622\pi\) | |||||||
\(24\) | 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 | \(-0.437577\pi\) |
−0.670391 | + | 0.742008i | \(0.733874\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.90267 | − | 3.89896i | −0.521334 | − | 0.700273i | 0.461002 | − | 0.887399i | \(-0.347490\pi\) |
−0.982336 | + | 0.187126i | \(0.940083\pi\) | |||||||
\(32\) | 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 | 0.945998 | + | 0.324173i | \(0.105086\pi\) |
0.483519 | + | 0.875334i | \(0.339358\pi\) | |||||||
\(38\) | −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 | \(-0.278831\pi\) |
−0.451753 | + | 0.892143i | \(0.649201\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.35354 | − | 1.03181i | 0.663908 | − | 0.157349i | 0.115173 | − | 0.993345i | \(-0.463258\pi\) |
0.548735 | + | 0.835996i | \(0.315110\pi\) | |||||||
\(44\) | −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 | \(-0.703775\pi\) |
0.939616 | + | 0.342230i | \(0.111182\pi\) | |||||||
\(48\) | 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 | \(-0.797715\pi\) |
0.916442 | + | 0.400168i | \(0.131048\pi\) | |||||||
\(54\) | 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 | −0.914240 | − | 0.405173i | \(-0.867211\pi\) |
0.541190 | − | 0.840900i | \(-0.317974\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.302918 | − | 0.702244i | −0.0387847 | − | 0.0899131i | 0.897723 | − | 0.440561i | \(-0.145221\pi\) |
−0.936507 | + | 0.350648i | \(0.885961\pi\) | |||||||
\(62\) | 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 | −0.408120 | − | 0.912928i | \(-0.633816\pi\) |
0.488569 | + | 0.872525i | \(0.337519\pi\) | |||||||
\(68\) | 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 | 0.831015 | + | 0.556250i | \(0.187760\pi\) |
−0.971147 | + | 0.238481i | \(0.923351\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.692009 | − | 3.92458i | −0.0809935 | − | 0.459337i | −0.998149 | − | 0.0608086i | \(-0.980632\pi\) |
0.917156 | − | 0.398529i | \(-0.130479\pi\) | |||||||
\(74\) | −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 | −0.976850 | − | 0.213923i | \(-0.931376\pi\) |
−0.190483 | + | 0.981691i | \(0.561005\pi\) | |||||||
\(80\) | −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 | \(-0.551996\pi\) |
0.841581 | + | 0.540131i | \(0.181625\pi\) | |||||||
\(84\) | 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 | −0.993078 | − | 0.117458i | \(-0.962526\pi\) |
0.893015 | − | 0.450027i | \(-0.148586\pi\) | |||||||
\(90\) | 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 | 0.546792 | − | 0.837268i | \(-0.315849\pi\) |
−0.867645 | + | 0.497185i | \(0.834367\pi\) | |||||||
\(98\) | 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 | −0.987740 | − | 0.156111i | \(-0.950104\pi\) |
0.564277 | − | 0.825586i | \(-0.309155\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.36931 | + | 11.2543i | 0.331988 | + | 1.10892i | 0.947223 | + | 0.320575i | \(0.103876\pi\) |
−0.615235 | + | 0.788344i | \(0.710939\pi\) | |||||||
\(104\) | −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 | \(-0.267097\pi\) |
−0.978428 | + | 0.206589i | \(0.933764\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.72147 | + | 2.98167i | −0.164887 | + | 0.285592i | −0.936615 | − | 0.350360i | \(-0.886059\pi\) |
0.771728 | + | 0.635952i | \(0.219393\pi\) | |||||||
\(110\) | 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 | \(-0.686029\pi\) |
−0.867348 | + | 0.497702i | \(0.834177\pi\) | |||||||
\(114\) | 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 | −0.948873 | − | 0.315659i | \(-0.897775\pi\) |
0.146093 | + | 0.989271i | \(0.453330\pi\) | |||||||
\(128\) | 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 | 0.970566 | + | 0.240836i | \(0.0774215\pi\) |
−0.0476433 | + | 0.998864i | \(0.515171\pi\) | |||||||
\(132\) | 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 | −0.970339 | − | 0.241750i | \(-0.922279\pi\) |
0.935712 | − | 0.352765i | \(-0.114758\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.26136 | + | 0.731848i | −0.531081 | + | 0.0620745i | −0.377408 | − | 0.926047i | \(-0.623184\pi\) |
−0.153674 | + | 0.988122i | \(0.549110\pi\) | |||||||
\(140\) | 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 | −0.315688 | − | 0.948863i | \(-0.602235\pi\) |
0.423710 | − | 0.905798i | \(-0.360728\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.15613 | + | 13.8824i | −0.338221 | + | 1.12974i | 0.604625 | + | 0.796510i | \(0.293323\pi\) |
−0.942847 | + | 0.333227i | \(0.891862\pi\) | |||||||
\(152\) | 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 | −0.959602 | − | 0.281363i | \(-0.909214\pi\) |
0.336682 | + | 0.941618i | \(0.390695\pi\) | |||||||
\(158\) | 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 | \(-0.831364\pi\) |
0.554668 | + | 0.832071i | \(0.312845\pi\) | |||||||
\(168\) | 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 | \(-0.949609\pi\) |
0.911669 | + | 0.410926i | \(0.134794\pi\) | |||||||
\(174\) | 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 | \(-0.705463\pi\) |
0.0526260 | + | 0.998614i | \(0.483241\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −10.9891 | − | 3.99971i | −0.816815 | − | 0.297296i | −0.100379 | − | 0.994949i | \(-0.532006\pi\) |
−0.716436 | + | 0.697653i | \(0.754228\pi\) | |||||||
\(182\) | −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 | \(-0.528329\pi\) |
−0.852024 | + | 0.523502i | \(0.824625\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 10.1622 | + | 13.6503i | 0.731494 | + | 0.982568i | 0.999815 | + | 0.0192379i | \(0.00612399\pi\) |
−0.268320 | + | 0.963330i | \(0.586469\pi\) | |||||||
\(194\) | 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 | \(-0.868505\pi\) |
0.236315 | + | 0.971676i | \(0.424060\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −16.5214 | − | 13.8631i | −1.17117 | − | 0.982731i | −0.171177 | − | 0.985240i | \(-0.554757\pi\) |
−0.999997 | + | 0.00250896i | \(0.999201\pi\) | |||||||
\(200\) | −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 | −0.217123 | − | 0.976144i | \(-0.569667\pi\) |
−0.632121 | + | 0.774870i | \(0.717815\pi\) | |||||||
\(212\) | 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 | 0.840336 | − | 0.542065i | \(-0.182357\pi\) |
−0.970958 | + | 0.239251i | \(0.923098\pi\) | |||||||
\(224\) | −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 | \(-0.309153\pi\) |
−0.856995 | + | 0.515324i | \(0.827672\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 26.5744 | − | 13.3462i | 1.75608 | − | 0.881939i | 0.794575 | − | 0.607166i | \(-0.207694\pi\) |
0.961509 | − | 0.274773i | \(-0.0886026\pi\) | |||||||
\(230\) | 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 | 0.567786 | + | 0.823176i | \(0.307800\pi\) |
−0.815087 | + | 0.579339i | \(0.803311\pi\) | |||||||
\(234\) | 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 | \(-0.931990\pi\) |
0.824868 | + | 0.565325i | \(0.191249\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.990937 | − | 0.651749i | 0.0638318 | − | 0.0419829i | −0.517192 | − | 0.855869i | \(-0.673023\pi\) |
0.581024 | + | 0.813887i | \(0.302652\pi\) | |||||||
\(242\) | 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 | −0.964854 | − | 0.262785i | \(-0.915359\pi\) |
0.816789 | − | 0.576937i | \(-0.195752\pi\) | |||||||
\(252\) | 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 | \(-0.371637\pi\) |
0.972120 | + | 0.234486i | \(0.0753406\pi\) | |||||||
\(258\) | 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 | 0.947557 | + | 0.319586i | \(0.103544\pi\) |
−0.417795 | + | 0.908541i | \(0.637197\pi\) | |||||||
\(264\) | 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 | \(-0.110667\pi\) |
−0.765148 | + | 0.643855i | \(0.777334\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 7.23998 | − | 12.5400i | 0.439798 | − | 0.761752i | −0.557876 | − | 0.829924i | \(-0.688384\pi\) |
0.997674 | + | 0.0681726i | \(0.0217169\pi\) | |||||||
\(272\) | −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 | −0.536921 | − | 0.843632i | \(-0.680413\pi\) |
0.962182 | + | 0.272408i | \(0.0878202\pi\) | |||||||
\(278\) | 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 | \(-0.424381\pi\) |
0.646498 | + | 0.762915i | \(0.276233\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −20.8426 | − | 13.7084i | −1.23896 | − | 0.814880i | −0.250764 | − | 0.968048i | \(-0.580682\pi\) |
−0.988200 | + | 0.153168i | \(0.951052\pi\) | |||||||
\(284\) | −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 | \(-0.123109\pi\) |
−0.626962 | + | 0.779050i | \(0.715702\pi\) | |||||||
\(294\) | 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 | −0.290126 | − | 0.956989i | \(-0.593697\pi\) |
0.392891 | + | 0.919585i | \(0.371475\pi\) | |||||||
\(308\) | 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 | 0.874978 | + | 0.484162i | \(0.160876\pi\) |
−0.925270 | + | 0.379310i | \(0.876162\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 8.80754 | − | 29.4192i | 0.497832 | − | 1.66287i | −0.226959 | − | 0.973904i | \(-0.572878\pi\) |
0.724790 | − | 0.688969i | \(-0.241937\pi\) | |||||||
\(314\) | 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 | \(-0.685925\pi\) |
−0.728966 | + | 0.684549i | \(0.759999\pi\) | |||||||
\(318\) | 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 | 0.140654 | − | 0.990059i | \(-0.455080\pi\) |
−0.0914610 | + | 0.995809i | \(0.529154\pi\) | |||||||
\(332\) | 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 | −0.231511 | − | 0.972832i | \(-0.574367\pi\) |
0.342885 | − | 0.939377i | \(-0.388596\pi\) | |||||||
\(338\) | −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 | \(-0.670575\pi\) |
−0.298545 | + | 0.954396i | \(0.596501\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.64660 | + | 28.2711i | 0.0881406 | + | 1.51332i | 0.695291 | + | 0.718728i | \(0.255275\pi\) |
−0.607151 | + | 0.794587i | \(0.707688\pi\) | |||||||
\(350\) | −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 | \(-0.206069\pi\) |
−0.00743042 | + | 0.999972i | \(0.502365\pi\) | |||||||
\(354\) | 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 | \(-0.601360\pi\) |
0.880934 | + | 0.473239i | \(0.156915\pi\) | |||||||
\(360\) | 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 | −0.0893336 | − | 0.996002i | \(-0.528474\pi\) |
0.367173 | + | 0.930153i | \(0.380326\pi\) | |||||||
\(368\) | 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 | 0.869778 | − | 0.493443i | \(-0.164262\pi\) |
0.555805 | + | 0.831313i | \(0.312410\pi\) | |||||||
\(374\) | 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 | 0.578991 | − | 0.815334i | \(-0.303447\pi\) |
−0.995595 | + | 0.0937537i | \(0.970113\pi\) | |||||||
\(380\) | −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 | −0.995280 | − | 0.0970408i | \(-0.969062\pi\) |
0.778220 | − | 0.627992i | \(-0.216123\pi\) | |||||||
\(384\) | 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 | \(-0.301370\pi\) |
−0.844141 | + | 0.536121i | \(0.819889\pi\) | |||||||
\(390\) | 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 | −0.779228 | − | 0.626741i | \(-0.784388\pi\) |
0.517876 | − | 0.855455i | \(-0.326723\pi\) | |||||||
\(398\) | 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 | \(-0.818062\pi\) |
0.970642 | + | 0.240529i | \(0.0773210\pi\) | |||||||
\(402\) | 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 | −0.899832 | − | 0.436237i | \(-0.856311\pi\) |
0.934809 | + | 0.355150i | \(0.115570\pi\) | |||||||
\(410\) | 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 | \(-0.817076\pi\) |
−0.0652339 | + | 0.997870i | \(0.520779\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −13.0106 | − | 13.7904i | −0.634097 | − | 0.672103i | 0.328042 | − | 0.944663i | \(-0.393611\pi\) |
−0.962139 | + | 0.272560i | \(0.912130\pi\) | |||||||
\(422\) | 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 | \(-0.162768\pi\) |
−0.859836 | + | 0.510570i | \(0.829434\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 10.9606 | − | 18.9844i | 0.526734 | − | 0.912330i | −0.472781 | − | 0.881180i | \(-0.656750\pi\) |
0.999515 | − | 0.0311498i | \(-0.00991689\pi\) | |||||||
\(434\) | −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 | −0.00190618 | + | 0.999998i | \(0.500607\pi\) |
−0.957441 | + | 0.288629i | \(0.906801\pi\) | |||||||
\(440\) | −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 | \(-0.480018\pi\) |
0.503976 | + | 0.863717i | \(0.331870\pi\) | |||||||
\(444\) | 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 | \(-0.481523\pi\) |
−0.973075 | + | 0.230490i | \(0.925967\pi\) | |||||||
\(450\) | 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 | −0.285470 | − | 0.958388i | \(-0.592150\pi\) |
−0.939216 | + | 0.343327i | \(0.888446\pi\) | |||||||
\(458\) | −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 | 0.970152 | + | 0.242496i | \(0.0779661\pi\) |
−0.935441 | + | 0.353484i | \(0.884997\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −10.2547 | + | 1.19861i | −0.476578 | + | 0.0557040i | −0.350992 | − | 0.936379i | \(-0.614155\pi\) |
−0.125587 | + | 0.992083i | \(0.540081\pi\) | |||||||
\(464\) | −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 | \(-0.337332\pi\) |
−0.186005 | + | 0.982549i | \(0.559554\pi\) | |||||||
\(468\) | 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 | \(-0.739653\pi\) |
−0.833605 | + | 0.552361i | \(0.813727\pi\) | |||||||
\(480\) | 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 | \(-0.641098\pi\) |
0.926763 | + | 0.375646i | \(0.122579\pi\) | |||||||
\(492\) | 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 | 0.973217 | + | 0.229889i | \(0.0738365\pi\) |
−0.993325 | + | 0.115351i | \(0.963201\pi\) | |||||||
\(500\) | −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 | \(-0.869115\pi\) |
−0.445272 | + | 0.895395i | \(0.646893\pi\) | |||||||
\(504\) | 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 | \(-0.528222\pi\) |
0.143550 | + | 0.989643i | \(0.454148\pi\) | |||||||
\(510\) | 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 | \(-0.550556\pi\) |
0.944948 | + | 0.327220i | \(0.106112\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 26.2642 | + | 22.0383i | 1.14845 | + | 0.963666i | 0.999682 | − | 0.0252058i | \(-0.00802411\pi\) |
0.148770 | + | 0.988872i | \(0.452469\pi\) | |||||||
\(524\) | −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 | 0.979250 | − | 0.202658i | \(-0.0649580\pi\) |
−0.665132 | + | 0.746726i | \(0.731625\pi\) | |||||||
\(542\) | 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 | 0.739996 | − | 0.672611i | \(-0.234827\pi\) |
−0.997056 | + | 0.0766801i | \(0.975568\pi\) | |||||||
\(548\) | 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 | 0.888076 | + | 0.459697i | \(0.152042\pi\) |
−0.991744 | + | 0.128234i | \(0.959069\pi\) | |||||||
\(558\) | 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 | −0.303418 | − | 0.952858i | \(-0.598128\pi\) |
0.901302 | − | 0.433192i | \(-0.142613\pi\) | |||||||
\(564\) | 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 | \(-0.484944\pi\) |
0.935917 | + | 0.352221i | \(0.114573\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −18.5275 | + | 42.9516i | −0.775353 | + | 1.79747i | −0.199536 | + | 0.979890i | \(0.563943\pi\) |
−0.575817 | + | 0.817579i | \(0.695316\pi\) | |||||||
\(572\) | −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 | −0.838372 | − | 0.545098i | \(-0.816492\pi\) |
0.974247 | − | 0.225485i | \(-0.0723966\pi\) | |||||||
\(578\) | 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 | \(-0.136051\pi\) |
−0.926019 | + | 0.377476i | \(0.876792\pi\) | |||||||
\(588\) | 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 | 0.921964 | + | 0.387276i | \(0.126584\pi\) |
−0.125592 | + | 0.992082i | \(0.540083\pi\) | |||||||
\(594\) | 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 | \(-0.663848\pi\) |
−0.830589 | + | 0.556886i | \(0.811996\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −12.1572 | + | 16.3299i | −0.495901 | + | 0.666111i | −0.977660 | − | 0.210193i | \(-0.932591\pi\) |
0.481759 | + | 0.876304i | \(0.339998\pi\) | |||||||
\(602\) | 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 | 0.576126 | − | 0.817361i | \(-0.304564\pi\) |
−0.522322 | + | 0.852748i | \(0.674934\pi\) | |||||||
\(608\) | 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 | −0.742368 | − | 0.669992i | \(-0.766297\pi\) |
0.530903 | + | 0.847433i | \(0.321853\pi\) | |||||||
\(614\) | −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 | \(-0.201096\pi\) |
−0.797204 | + | 0.603710i | \(0.793689\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 8.95900 | + | 4.49938i | 0.360093 | + | 0.180845i | 0.619642 | − | 0.784885i | \(-0.287278\pi\) |
−0.259550 | + | 0.965730i | \(0.583574\pi\) | |||||||
\(620\) | −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 | −0.618937 | − | 0.785441i | \(-0.712436\pi\) |
0.0307388 | + | 0.999527i | \(0.490214\pi\) | |||||||
\(632\) | 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 | \(-0.412179\pi\) |
0.0431744 | + | 0.999068i | \(0.486253\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 6.55424 | − | 6.94709i | 0.258474 | − | 0.273966i | −0.585121 | − | 0.810946i | \(-0.698953\pi\) |
0.843595 | + | 0.536979i | \(0.180435\pi\) | |||||||
\(644\) | 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 | \(-0.756127\pi\) | ||||
−0.720586 | + | 0.693365i | \(0.756127\pi\) | |||||||
\(648\) | 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 | \(-0.635841\pi\) |
0.932840 | + | 0.360292i | \(0.117323\pi\) | |||||||
\(654\) | 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 | 0.593577 | + | 0.804777i | \(0.297715\pi\) |
−0.938159 | + | 0.346205i | \(0.887470\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −0.928413 | + | 15.9402i | −0.0361111 | + | 0.620003i | 0.930901 | + | 0.365272i | \(0.119024\pi\) |
−0.967012 | + | 0.254731i | \(0.918013\pi\) | |||||||
\(662\) | −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 | 0.713399 | + | 0.700758i | \(0.247155\pi\) |
−0.627223 | + | 0.778840i | \(0.715808\pi\) | |||||||
\(674\) | 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 | \(-0.432554\pi\) |
−0.658599 | + | 0.752494i | \(0.728850\pi\) | |||||||
\(678\) | 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 | \(-0.666497\pi\) |
0.766387 | + | 0.642379i | \(0.222053\pi\) | |||||||
\(684\) | 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 | −0.00304009 | − | 0.999995i | \(-0.500968\pi\) |
0.446080 | + | 0.894993i | \(0.352820\pi\) | |||||||
\(692\) | −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 | \(-0.838644\pi\) |
0.857563 | + | 0.514379i | \(0.171977\pi\) | |||||||
\(702\) | 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 | 0.998585 | + | 0.0531741i | \(0.0169338\pi\) |
−0.646593 | + | 0.762835i | \(0.723807\pi\) | |||||||
\(710\) | 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 | 0.796792 | + | 0.604253i | \(0.206529\pi\) |
−0.955407 | + | 0.295293i | \(0.904583\pi\) | |||||||
\(720\) | 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 | −0.414952 | − | 0.909843i | \(-0.636202\pi\) |
0.671079 | + | 0.741386i | \(0.265831\pi\) | |||||||
\(728\) | 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 | −0.992566 | − | 0.121710i | \(-0.961162\pi\) |
0.769668 | + | 0.638444i | \(0.220422\pi\) | |||||||
\(734\) | −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 | −0.745583 | − | 0.666413i | \(-0.767829\pi\) |
0.928545 | − | 0.371219i | \(-0.121060\pi\) | |||||||
\(740\) | 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 | \(-0.735395\pi\) |
0.190162 | + | 0.981753i | \(0.439099\pi\) | |||||||
\(744\) | 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 | 0.988057 | − | 0.154089i | \(-0.0492443\pi\) |
−0.910183 | + | 0.414207i | \(0.864059\pi\) | |||||||
\(752\) | 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 | −0.947425 | − | 0.319977i | \(-0.896325\pi\) |
0.750821 | + | 0.660506i | \(0.229658\pi\) | |||||||
\(758\) | 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 | \(-0.392998\pi\) |
−0.128906 | + | 0.991657i | \(0.541147\pi\) | |||||||
\(762\) | 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 | 0.773132 | − | 0.634245i | \(-0.218689\pi\) |
−0.276152 | + | 0.961114i | \(0.589059\pi\) | |||||||
\(770\) | −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 | \(-0.268315\pi\) |
−0.619734 | + | 0.784812i | \(0.712759\pi\) | |||||||
\(774\) | 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 | ||||
\(782\) | 4.64333 | − | 8.04248i | 0.166045 | − | 0.287598i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −4.62716 | − | 8.01448i | −0.165256 | − | 0.286232i | ||||
\(785\) | −2.59943 | − | 44.6304i | −0.0927776 | − | 1.59293i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 41.3885 | − | 4.83762i | 1.47534 | − | 0.172443i | 0.659931 | − | 0.751326i | \(-0.270586\pi\) |
0.815410 | + | 0.578884i | \(0.196512\pi\) | |||||||
\(788\) | −1.94723 | − | 6.50420i | −0.0693672 | − | 0.231703i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 23.3186 | + | 54.0585i | 0.829638 | + | 1.92332i | ||||
\(791\) | 27.0865 | + | 9.85869i | 0.963086 | + | 0.350535i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.223698 | + | 0.0814193i | −0.00794374 | + | 0.00289128i | ||||
\(794\) | 24.8208 | + | 26.3085i | 0.880857 | + | 0.933653i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 10.5094 | − | 5.27801i | 0.372495 | − | 0.187074i | ||||
\(797\) | −2.70404 | + | 46.4266i | −0.0957820 | + | 1.64451i | 0.518247 | + | 0.855231i | \(0.326585\pi\) |
−0.614029 | + | 0.789283i | \(0.710452\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −3.80859 | + | 12.7216i | −0.134738 | + | 0.450057i | ||||
\(800\) | 5.42444 | − | 30.7635i | 0.191783 | − | 1.08765i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 1.37223 | + | 7.78232i | 0.0484553 | + | 0.274803i | ||||
\(803\) | 19.1943 | + | 2.24349i | 0.677353 | + | 0.0791712i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 11.4268 | − | 12.1117i | 0.402743 | − | 0.426883i | ||||
\(806\) | 0.722789 | − | 1.67561i | 0.0254592 | − | 0.0590209i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −27.5587 | + | 18.1256i | −0.969511 | + | 0.637658i | ||||
\(809\) | 25.7135 | 0.904038 | 0.452019 | − | 0.892008i | \(-0.350704\pi\) | ||||
0.452019 | + | 0.892008i | \(0.350704\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −33.1951 | −1.16564 | −0.582818 | − | 0.812602i | \(-0.698050\pi\) | ||||
−0.582818 | + | 0.812602i | \(0.698050\pi\) | |||||||
\(812\) | −2.42744 | + | 1.59655i | −0.0851864 | + | 0.0560280i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 26.2957 | − | 60.9603i | 0.921665 | − | 2.13666i | ||||
\(815\) | 2.12989 | − | 2.25755i | 0.0746068 | − | 0.0790786i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 5.01269 | + | 0.585899i | 0.175372 | + | 0.0204980i | ||||
\(818\) | 0.374049 | + | 2.12134i | 0.0130783 | + | 0.0741708i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.537666 | − | 3.04925i | 0.0187761 | − | 0.106485i | ||||
\(821\) | 0.0625495 | − | 0.208930i | 0.00218299 | − | 0.00729170i | −0.956891 | − | 0.290447i | \(-0.906196\pi\) |
0.959074 | + | 0.283155i | \(0.0913812\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −0.900993 | + | 15.4695i | −0.0314066 | + | 0.539231i | 0.945508 | + | 0.325600i | \(0.105566\pi\) |
−0.976914 | + | 0.213631i | \(0.931471\pi\) | |||||||
\(824\) | 32.2286 | − | 16.1858i | 1.12274 | − | 0.563860i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −15.3756 | − | 16.2972i | −0.534986 | − | 0.567052i | ||||
\(827\) | 43.9974 | − | 16.0138i | 1.52994 | − | 0.556853i | 0.566334 | − | 0.824176i | \(-0.308361\pi\) |
0.963607 | + | 0.267323i | \(0.0861391\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −12.5795 | − | 4.57858i | −0.436905 | − | 0.159021i | 0.114197 | − | 0.993458i | \(-0.463570\pi\) |
−0.551103 | + | 0.834438i | \(0.685793\pi\) | |||||||
\(830\) | −13.9019 | − | 32.2283i | −0.482544 | − | 1.11866i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.788244 | + | 2.63292i | 0.0273274 | + | 0.0912800i | ||||
\(833\) | 11.8919 | − | 1.38996i | 0.412030 | − | 0.0481594i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −1.32664 | − | 22.7775i | −0.0459102 | − | 0.788248i | ||||
\(836\) | −1.49135 | − | 2.58309i | −0.0515794 | − | 0.0893382i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 12.4958 | − | 21.6434i | 0.431661 | − | 0.747659i | ||||
\(839\) | 21.1461 | + | 10.6200i | 0.730045 | + | 0.366642i | 0.774674 | − | 0.632361i | \(-0.217914\pi\) |
−0.0446286 | + | 0.999004i | \(0.514210\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −12.4137 | − | 16.6745i | −0.428058 | − | 0.574982i | ||||
\(842\) | 22.2506 | + | 5.27348i | 0.766806 | + | 0.181736i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 4.12814 | − | 5.54506i | 0.142097 | − | 0.190869i | ||||
\(845\) | −38.8518 | + | 32.6005i | −1.33654 | + | 1.12149i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 17.8263 | + | 14.9580i | 0.612518 | + | 0.513964i | ||||
\(848\) | 4.13243 | − | 0.979404i | 0.141908 | − | 0.0336329i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −35.5861 | − | 23.4054i | −1.22059 | − | 0.802797i | ||||
\(851\) | 21.6076 | + | 14.2115i | 0.740697 | + | 0.487164i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −29.2236 | + | 6.92612i | −1.00060 | + | 0.237146i | −0.698097 | − | 0.716003i | \(-0.745970\pi\) |
−0.302501 | + | 0.953149i | \(0.597821\pi\) | |||||||
\(854\) | −1.31384 | − | 1.10244i | −0.0449587 | − | 0.0377249i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −15.0969 | + | 12.6678i | −0.516000 | + | 0.432975i | ||||
\(857\) | 7.39525 | − | 9.93354i | 0.252617 | − | 0.339323i | −0.657666 | − | 0.753309i | \(-0.728456\pi\) |
0.910283 | + | 0.413986i | \(0.135864\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −37.1696 | − | 8.80936i | −1.26821 | − | 0.300571i | −0.459183 | − | 0.888342i | \(-0.651858\pi\) |
−0.809028 | + | 0.587771i | \(0.800006\pi\) | |||||||
\(860\) | −5.72645 | − | 7.69195i | −0.195270 | − | 0.262293i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −0.548139 | − | 0.275286i | −0.0186697 | − | 0.00937628i | ||||
\(863\) | −1.57263 | + | 2.72387i | −0.0535329 | + | 0.0927217i | −0.891550 | − | 0.452922i | \(-0.850382\pi\) |
0.838017 | + | 0.545644i | \(0.183715\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −6.83429 | − | 11.8373i | −0.232373 | − | 0.402482i | ||||
\(866\) | 1.53732 | + | 26.3948i | 0.0522404 | + | 0.896932i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −4.89488 | + | 0.572130i | −0.166143 | + | 0.0194193i | ||||
\(869\) | −17.2715 | − | 57.6908i | −0.585895 | − | 1.95703i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.0908473 | − | 0.210608i | −0.00307824 | − | 0.00713617i | ||||
\(872\) | 9.93208 | + | 3.61498i | 0.336343 | + | 0.122419i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −2.91281 | + | 1.06018i | −0.0985272 | + | 0.0358610i | ||||
\(875\) | −27.3327 | − | 28.9709i | −0.924013 | − | 0.979396i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −33.5229 | + | 16.8358i | −1.13199 | + | 0.568505i | −0.913299 | − | 0.407289i | \(-0.866474\pi\) |
−0.218688 | + | 0.975795i | \(0.570178\pi\) | |||||||
\(878\) | 2.36058 | − | 40.5296i | 0.0796657 | − | 1.36781i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 14.2795 | − | 47.6968i | 0.481361 | − | 1.60786i | ||||
\(881\) | 4.15332 | − | 23.5546i | 0.139929 | − | 0.793576i | −0.831371 | − | 0.555718i | \(-0.812444\pi\) |
0.971300 | − | 0.237858i | \(-0.0764453\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 2.98131 | + | 16.9078i | 0.100329 | + | 0.568994i | 0.992984 | + | 0.118253i | \(0.0377293\pi\) |
−0.892655 | + | 0.450742i | \(0.851160\pi\) | |||||||
\(884\) | −0.569706 | − | 0.0665891i | −0.0191613 | − | 0.00223963i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −10.1460 | + | 10.7542i | −0.340863 | + | 0.361293i | ||||
\(887\) | −1.90630 | + | 4.41930i | −0.0640072 | + | 0.148385i | −0.947217 | − | 0.320592i | \(-0.896118\pi\) |
0.883210 | + | 0.468977i | \(0.155377\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 18.3460 | − | 12.0664i | 0.615305 | − | 0.404693i | ||||
\(890\) | −25.7720 | −0.863880 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 2.68540 | 0.0899137 | ||||||||
\(893\) | 3.70329 | − | 2.43569i | 0.123926 | − | 0.0815073i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 12.1681 | − | 28.2089i | 0.406736 | − | 0.942920i | ||||
\(896\) | −5.95988 | + | 6.31711i | −0.199106 | + | 0.211040i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 30.3222 | + | 3.54416i | 1.01187 | + | 0.118270i | ||||
\(899\) | 2.41882 | + | 13.7178i | 0.0806723 | + | 0.457515i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.954103 | + | 5.41099i | −0.0317858 | + | 0.180266i | ||||
\(902\) | 2.42329 | − | 8.09436i | 0.0806868 | − | 0.269513i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −2.76724 | + | 47.5117i | −0.0920370 | + | 1.58021i | ||||
\(905\) | 41.0770 | − | 20.6296i | 1.36544 | − | 0.685752i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −14.4151 | − | 15.2791i | −0.478646 | − | 0.507335i | 0.442385 | − | 0.896825i | \(-0.354133\pi\) |
−0.921030 | + | 0.389491i | \(0.872651\pi\) | |||||||
\(908\) | 3.29297 | − | 1.19854i | 0.109281 | − | 0.0397751i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 2.57826 | + | 0.938410i | 0.0854685 | + | 0.0311080i | ||||
\(911\) | 10.0239 | + | 23.2381i | 0.332108 | + | 0.769913i | 0.999678 | + | 0.0253663i | \(0.00807520\pi\) |
−0.667570 | + | 0.744547i | \(0.732666\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 10.2968 | + | 34.3938i | 0.340775 | + | 1.13827i | ||||
\(914\) | 35.0967 | − | 4.10222i | 1.16090 | − | 0.135689i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0.942843 | + | 16.1880i | 0.0311524 | + | 0.534866i | ||||
\(917\) | −16.4452 | − | 28.4839i | −0.543067 | − | 0.940620i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −20.2378 | + | 35.0529i | −0.667583 | + | 1.15629i | 0.310995 | + | 0.950411i | \(0.399338\pi\) |
−0.978578 | + | 0.205876i | \(0.933996\pi\) | |||||||
\(920\) | 24.5683 | + | 12.3387i | 0.809994 | + | 0.406795i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −9.23200 | − | 12.4007i | −0.304040 | − | 0.408396i | ||||
\(923\) | 2.05951 | + | 0.488112i | 0.0677895 | + | 0.0160664i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 70.8331 | − | 95.1454i | 2.32898 | − | 3.12836i | ||||
\(926\) | 9.53925 | − | 8.00438i | 0.313479 | − | 0.263040i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −6.56228 | − | 5.50641i | −0.215417 | − | 0.180757i | ||||
\(929\) | −14.6660 | + | 3.47591i | −0.481177 | + | 0.114041i | −0.464044 | − | 0.885812i | \(-0.653602\pi\) |
−0.0171330 | + | 0.999853i | \(0.505454\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −3.33891 | − | 2.19604i | −0.109428 | − | 0.0719721i | ||||
\(932\) | −9.90372 | − | 6.51378i | −0.324407 | − | 0.213366i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −8.17992 | + | 1.93868i | −0.267655 | + | 0.0634354i | ||||
\(935\) | 49.3440 | + | 41.4046i | 1.61372 | + | 1.35407i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 10.3708 | − | 8.70215i | 0.338800 | − | 0.284287i | −0.457474 | − | 0.889223i | \(-0.651246\pi\) |
0.796274 | + | 0.604936i | \(0.206801\pi\) | |||||||
\(938\) | 0.986808 | − | 1.32551i | 0.0322204 | − | 0.0432795i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −8.19518 | − | 1.94229i | −0.267297 | − | 0.0633506i | ||||
\(941\) | 18.4024 | + | 24.7187i | 0.599900 | + | 0.805806i | 0.993543 | − | 0.113458i | \(-0.0361927\pi\) |
−0.393643 | + | 0.919264i | \(0.628785\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 2.94133 | + | 1.47719i | 0.0957829 | + | 0.0481040i | ||||
\(944\) | 13.0487 | − | 22.6010i | 0.424699 | − | 0.735601i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −13.0842 | − | 22.6624i | −0.425403 | − | 0.736819i | ||||
\(947\) | 2.88862 | + | 49.5957i | 0.0938676 | + | 1.61164i | 0.636230 | + | 0.771499i | \(0.280493\pi\) |
−0.542362 | + | 0.840145i | \(0.682470\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.23205 | + | 0.144006i | −0.0399940 | + | 0.00467462i | ||||
\(950\) | 4.07748 | + | 13.6197i | 0.132291 | + | 0.441882i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −7.64023 | − | 17.7120i | −0.247621 | − | 0.574051i | ||||
\(953\) | −21.4128 | − | 7.79362i | −0.693629 | − | 0.252460i | −0.0289406 | − | 0.999581i | \(-0.509213\pi\) |
−0.664688 | + | 0.747121i | \(0.731436\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 53.7466 | − | 19.5622i | 1.73920 | − | 0.633017i | ||||
\(956\) | −2.22579 | − | 2.35920i | −0.0719872 | − | 0.0763019i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 36.0371 | − | 18.0985i | 1.16431 | − | 0.584737i | ||||
\(959\) | −0.753575 | + | 12.9384i | −0.0243342 | + | 0.417802i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 2.11450 | − | 7.06294i | 0.0682098 | − | 0.227837i | ||||
\(962\) | −0.739993 | + | 4.19671i | −0.0238583 | + | 0.135307i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0.112305 | + | 0.636915i | 0.00361711 | + | 0.0205136i | ||||
\(965\) | −66.4379 | − | 7.76547i | −2.13871 | − | 0.249979i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −39.1298 | + | 41.4751i | −1.25833 | + | 1.33375i | −0.338733 | + | 0.940883i | \(0.609998\pi\) |
−0.919595 | + | 0.392867i | \(0.871483\pi\) | |||||||
\(968\) | −15.2180 | + | 35.2793i | −0.489125 | + | 1.13392i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −18.2392 | + | 11.9961i | −0.585625 | + | 0.385171i | ||||
\(971\) | −38.8020 | −1.24521 | −0.622607 | − | 0.782535i | \(-0.713926\pi\) | ||||
−0.622607 | + | 0.782535i | \(0.713926\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 11.7212 | 0.375765 | ||||||||
\(974\) | 8.74221 | − | 5.74984i | 0.280119 | − | 0.184237i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.791251 | − | 1.83433i | 0.0253273 | − | 0.0587153i | ||||
\(977\) | −29.9675 | + | 31.7637i | −0.958747 | + | 1.01621i | 0.0411080 | + | 0.999155i | \(0.486911\pi\) |
−0.999855 | + | 0.0170572i | \(0.994570\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 26.1835 | + | 3.06042i | 0.836829 | + | 0.0978113i | ||||
\(980\) | 1.31860 | + | 7.47815i | 0.0421211 | + | 0.238881i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −3.36694 | + | 19.0949i | −0.107443 | + | 0.609342i | ||||
\(983\) | 10.0516 | − | 33.5745i | 0.320595 | − | 1.07086i | −0.634094 | − | 0.773256i | \(-0.718627\pi\) |
0.954689 | − | 0.297605i | \(-0.0961880\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 2.84566 | − | 48.8580i | 0.0906702 | − | 1.55675i | ||||
\(986\) | −10.4380 | + | 5.24214i | −0.332412 | + | 0.166944i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.131384 | + | 0.139259i | 0.00417987 | + | 0.00443041i | ||||
\(989\) | 9.57909 | − | 3.48651i | 0.304597 | − | 0.110864i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −0.299988 | − | 0.109187i | −0.00952943 | − | 0.00346843i | 0.337251 | − | 0.941415i | \(-0.390503\pi\) |
−0.346780 | + | 0.937946i | \(0.612725\pi\) | |||||||
\(992\) | −5.75525 | − | 13.3422i | −0.182729 | − | 0.423614i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 4.37349 | + | 14.6085i | 0.138719 | + | 0.463353i | ||||
\(995\) | 84.1995 | − | 9.84151i | 2.66930 | − | 0.311997i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −0.625507 | − | 10.7395i | −0.0198100 | − | 0.340125i | −0.993621 | − | 0.112767i | \(-0.964029\pi\) |
0.973811 | − | 0.227357i | \(-0.0730085\pi\) | |||||||
\(998\) | −4.65872 | − | 8.06914i | −0.147469 | − | 0.255424i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 729.2.g.b.28.3 | 144 | ||
3.2 | odd | 2 | 729.2.g.c.28.6 | 144 | |||
9.2 | odd | 6 | 81.2.g.a.13.3 | ✓ | 144 | ||
9.4 | even | 3 | 729.2.g.a.514.3 | 144 | |||
9.5 | odd | 6 | 729.2.g.d.514.6 | 144 | |||
9.7 | even | 3 | 243.2.g.a.10.6 | 144 | |||
81.2 | odd | 54 | 81.2.g.a.25.3 | yes | 144 | ||
81.25 | even | 27 | 729.2.g.a.217.3 | 144 | |||
81.29 | odd | 54 | 729.2.g.c.703.6 | 144 | |||
81.32 | odd | 54 | 6561.2.a.c.1.24 | 72 | |||
81.49 | even | 27 | 6561.2.a.d.1.49 | 72 | |||
81.52 | even | 27 | inner | 729.2.g.b.703.3 | 144 | ||
81.56 | odd | 54 | 729.2.g.d.217.6 | 144 | |||
81.79 | even | 27 | 243.2.g.a.73.6 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.13.3 | ✓ | 144 | 9.2 | odd | 6 | ||
81.2.g.a.25.3 | yes | 144 | 81.2 | odd | 54 | ||
243.2.g.a.10.6 | 144 | 9.7 | even | 3 | |||
243.2.g.a.73.6 | 144 | 81.79 | even | 27 | |||
729.2.g.a.217.3 | 144 | 81.25 | even | 27 | |||
729.2.g.a.514.3 | 144 | 9.4 | even | 3 | |||
729.2.g.b.28.3 | 144 | 1.1 | even | 1 | trivial | ||
729.2.g.b.703.3 | 144 | 81.52 | even | 27 | inner | ||
729.2.g.c.28.6 | 144 | 3.2 | odd | 2 | |||
729.2.g.c.703.6 | 144 | 81.29 | odd | 54 | |||
729.2.g.d.217.6 | 144 | 81.56 | odd | 54 | |||
729.2.g.d.514.6 | 144 | 9.5 | odd | 6 | |||
6561.2.a.c.1.24 | 72 | 81.32 | odd | 54 | |||
6561.2.a.d.1.49 | 72 | 81.49 | even | 27 |