Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [770,2,Mod(3,770)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(770, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([45, 10, 48]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("770.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 770.bv (of order \(60\), degree \(16\), 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: | \(6.14848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(768\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 103.33 | ||
Character | \(\chi\) | \(=\) | 770.103 |
Dual form | 770.2.bv.a.157.33 |
$q$-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 \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(617\) | \(661\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.358368 | − | 0.933580i | 0.253404 | − | 0.660141i | ||||
\(3\) | −0.837605 | + | 1.28980i | −0.483592 | + | 0.744666i | −0.993285 | − | 0.115690i | \(-0.963092\pi\) |
0.509694 | + | 0.860356i | \(0.329759\pi\) | |||||||
\(4\) | −0.743145 | − | 0.669131i | −0.371572 | − | 0.334565i | ||||
\(5\) | 1.48465 | + | 1.67207i | 0.663955 | + | 0.747773i | ||||
\(6\) | 0.903960 | + | 1.24419i | 0.369040 | + | 0.507940i | ||||
\(7\) | 2.63859 | − | 0.194548i | 0.997293 | − | 0.0735322i | ||||
\(8\) | −0.891007 | + | 0.453990i | −0.315018 | + | 0.160510i | ||||
\(9\) | 0.258211 | + | 0.579952i | 0.0860705 | + | 0.193317i | ||||
\(10\) | 2.09306 | − | 0.786822i | 0.661884 | − | 0.248815i | ||||
\(11\) | −0.852145 | + | 3.20528i | −0.256931 | + | 0.966430i | ||||
\(12\) | 1.48551 | − | 0.398040i | 0.428829 | − | 0.114904i | ||||
\(13\) | −2.56353 | + | 0.406023i | −0.710995 | + | 0.112611i | −0.501448 | − | 0.865188i | \(-0.667199\pi\) |
−0.209547 | + | 0.977798i | \(0.567199\pi\) | |||||||
\(14\) | 0.763960 | − | 2.53305i | 0.204177 | − | 0.676987i | ||||
\(15\) | −3.40018 | + | 0.514363i | −0.877924 | + | 0.132808i | ||||
\(16\) | 0.104528 | + | 0.994522i | 0.0261321 | + | 0.248630i | ||||
\(17\) | −0.247607 | − | 0.645039i | −0.0600536 | − | 0.156445i | 0.900271 | − | 0.435330i | \(-0.143368\pi\) |
−0.960324 | + | 0.278885i | \(0.910035\pi\) | |||||||
\(18\) | 0.633967 | − | 0.0332248i | 0.149427 | − | 0.00783116i | ||||
\(19\) | −1.35537 | − | 1.50529i | −0.310942 | − | 0.345336i | 0.567336 | − | 0.823486i | \(-0.307974\pi\) |
−0.878278 | + | 0.478150i | \(0.841307\pi\) | |||||||
\(20\) | 0.0155247 | − | 2.23601i | 0.00347142 | − | 0.499988i | ||||
\(21\) | −1.95917 | + | 3.56620i | −0.427525 | + | 0.778209i | ||||
\(22\) | 2.68701 | + | 1.94422i | 0.572872 | + | 0.414508i | ||||
\(23\) | 1.91793 | − | 0.513907i | 0.399916 | − | 0.107157i | −0.0532547 | − | 0.998581i | \(-0.516960\pi\) |
0.453171 | + | 0.891424i | \(0.350293\pi\) | |||||||
\(24\) | 0.160755 | − | 1.52948i | 0.0328140 | − | 0.312205i | ||||
\(25\) | −0.591638 | + | 4.96487i | −0.118328 | + | 0.992975i | ||||
\(26\) | −0.539631 | + | 2.53877i | −0.105830 | + | 0.497893i | ||||
\(27\) | −5.52122 | − | 0.874476i | −1.06256 | − | 0.168293i | ||||
\(28\) | −2.09103 | − | 1.62098i | −0.395168 | − | 0.306337i | ||||
\(29\) | −4.99572 | + | 1.62321i | −0.927682 | + | 0.301422i | −0.733614 | − | 0.679566i | \(-0.762168\pi\) |
−0.194068 | + | 0.980988i | \(0.562168\pi\) | |||||||
\(30\) | −0.738317 | + | 3.35868i | −0.134798 | + | 0.613207i | ||||
\(31\) | 6.69489 | + | 0.703662i | 1.20244 | + | 0.126381i | 0.684485 | − | 0.729027i | \(-0.260027\pi\) |
0.517954 | + | 0.855409i | \(0.326694\pi\) | |||||||
\(32\) | 0.965926 | + | 0.258819i | 0.170753 | + | 0.0457532i | ||||
\(33\) | −3.42041 | − | 3.78386i | −0.595417 | − | 0.658685i | ||||
\(34\) | −0.690930 | −0.118494 | ||||||||
\(35\) | 4.24267 | + | 4.12307i | 0.717143 | + | 0.696926i | ||||
\(36\) | 0.196175 | − | 0.603766i | 0.0326959 | − | 0.100628i | ||||
\(37\) | −0.790201 | + | 0.513163i | −0.129908 | + | 0.0843634i | −0.607957 | − | 0.793970i | \(-0.708011\pi\) |
0.478049 | + | 0.878333i | \(0.341344\pi\) | |||||||
\(38\) | −1.89102 | + | 0.725896i | −0.306765 | + | 0.117756i | ||||
\(39\) | 1.62354 | − | 3.64652i | 0.259974 | − | 0.583911i | ||||
\(40\) | −2.08194 | − | 0.815809i | −0.329183 | − | 0.128991i | ||||
\(41\) | −3.48874 | − | 1.13356i | −0.544850 | − | 0.177033i | 0.0236432 | − | 0.999720i | \(-0.492473\pi\) |
−0.568493 | + | 0.822688i | \(0.692473\pi\) | |||||||
\(42\) | 2.62723 | + | 3.10705i | 0.405391 | + | 0.479429i | ||||
\(43\) | 7.61122 | + | 7.61122i | 1.16070 | + | 1.16070i | 0.984323 | + | 0.176377i | \(0.0564379\pi\) |
0.176377 | + | 0.984323i | \(0.443562\pi\) | |||||||
\(44\) | 2.77802 | − | 1.81179i | 0.418802 | − | 0.273138i | ||||
\(45\) | −0.586368 | + | 1.29277i | −0.0874106 | + | 0.192715i | ||||
\(46\) | 0.207550 | − | 1.97471i | 0.0306016 | − | 0.291155i | ||||
\(47\) | −0.623773 | + | 11.9023i | −0.0909866 | + | 1.73613i | 0.448192 | + | 0.893937i | \(0.352068\pi\) |
−0.539179 | + | 0.842191i | \(0.681265\pi\) | |||||||
\(48\) | −1.37029 | − | 0.698196i | −0.197784 | − | 0.100776i | ||||
\(49\) | 6.92430 | − | 1.02666i | 0.989186 | − | 0.146666i | ||||
\(50\) | 4.42308 | + | 2.33159i | 0.625519 | + | 0.329737i | ||||
\(51\) | 1.03937 | + | 0.220924i | 0.145541 | + | 0.0309356i | ||||
\(52\) | 2.17676 | + | 1.41360i | 0.301862 | + | 0.196031i | ||||
\(53\) | 9.76349 | − | 7.90632i | 1.34112 | − | 1.08602i | 0.352461 | − | 0.935827i | \(-0.385345\pi\) |
0.988657 | − | 0.150189i | \(-0.0479884\pi\) | |||||||
\(54\) | −2.79502 | + | 4.84112i | −0.380355 | + | 0.658793i | ||||
\(55\) | −6.62460 | + | 3.33387i | −0.893260 | + | 0.449540i | ||||
\(56\) | −2.26268 | + | 1.37124i | −0.302363 | + | 0.183239i | ||||
\(57\) | 3.07678 | − | 0.487314i | 0.407529 | − | 0.0645463i | ||||
\(58\) | −0.274911 | + | 5.24561i | −0.0360976 | + | 0.688783i | ||||
\(59\) | −5.73484 | + | 6.36919i | −0.746613 | + | 0.829198i | −0.990050 | − | 0.140719i | \(-0.955059\pi\) |
0.243437 | + | 0.969917i | \(0.421725\pi\) | |||||||
\(60\) | 2.87100 | + | 1.89292i | 0.370645 | + | 0.244375i | ||||
\(61\) | −3.98951 | + | 0.419314i | −0.510804 | + | 0.0536876i | −0.356425 | − | 0.934324i | \(-0.616004\pi\) |
−0.154379 | + | 0.988012i | \(0.549338\pi\) | |||||||
\(62\) | 3.05616 | − | 5.99805i | 0.388133 | − | 0.761753i | ||||
\(63\) | 0.794142 | + | 1.48002i | 0.100053 | + | 0.186465i | ||||
\(64\) | 0.587785 | − | 0.809017i | 0.0734732 | − | 0.101127i | ||||
\(65\) | −4.48484 | − | 3.68360i | −0.556276 | − | 0.456894i | ||||
\(66\) | −4.75830 | + | 1.83722i | −0.585706 | + | 0.226146i | ||||
\(67\) | 14.1612 | + | 3.79447i | 1.73006 | + | 0.463568i | 0.980197 | − | 0.198024i | \(-0.0634524\pi\) |
0.749864 | + | 0.661592i | \(0.230119\pi\) | |||||||
\(68\) | −0.247607 | + | 0.645039i | −0.0300268 | + | 0.0782224i | ||||
\(69\) | −0.943630 | + | 2.90419i | −0.113600 | + | 0.349624i | ||||
\(70\) | 5.36966 | − | 2.48330i | 0.641797 | − | 0.296811i | ||||
\(71\) | −1.72082 | + | 1.25025i | −0.204223 | + | 0.148377i | −0.685196 | − | 0.728359i | \(-0.740284\pi\) |
0.480973 | + | 0.876735i | \(0.340284\pi\) | |||||||
\(72\) | −0.493361 | − | 0.399516i | −0.0581432 | − | 0.0470834i | ||||
\(73\) | −0.498810 | − | 9.51787i | −0.0583813 | − | 1.11398i | −0.858059 | − | 0.513552i | \(-0.828329\pi\) |
0.799677 | − | 0.600430i | \(-0.205004\pi\) | |||||||
\(74\) | 0.195896 | + | 0.921617i | 0.0227724 | + | 0.107136i | ||||
\(75\) | −5.90813 | − | 4.92170i | −0.682212 | − | 0.568309i | ||||
\(76\) | 2.02556i | 0.232348i | ||||||||
\(77\) | −1.62488 | + | 8.62321i | −0.185172 | + | 0.982706i | ||||
\(78\) | −2.82250 | − | 2.82250i | −0.319585 | − | 0.319585i | ||||
\(79\) | −0.170998 | − | 0.384067i | −0.0192387 | − | 0.0432109i | 0.903671 | − | 0.428228i | \(-0.140862\pi\) |
−0.922909 | + | 0.385017i | \(0.874195\pi\) | |||||||
\(80\) | −1.50772 | + | 1.65129i | −0.168569 | + | 0.184620i | ||||
\(81\) | 4.47814 | − | 4.97348i | 0.497571 | − | 0.552608i | ||||
\(82\) | −2.30852 | + | 2.85079i | −0.254934 | + | 0.314817i | ||||
\(83\) | 1.16214 | − | 7.33745i | 0.127561 | − | 0.805390i | −0.838087 | − | 0.545537i | \(-0.816326\pi\) |
0.965648 | − | 0.259853i | \(-0.0836741\pi\) | |||||||
\(84\) | 3.84220 | − | 1.33927i | 0.419218 | − | 0.146126i | ||||
\(85\) | 0.710941 | − | 1.37167i | 0.0771123 | − | 0.148779i | ||||
\(86\) | 9.83330 | − | 4.37807i | 1.06035 | − | 0.472099i | ||||
\(87\) | 2.09083 | − | 7.80308i | 0.224160 | − | 0.836578i | ||||
\(88\) | −0.695902 | − | 3.24280i | −0.0741834 | − | 0.345683i | ||||
\(89\) | 2.28526 | − | 3.95818i | 0.242237 | − | 0.419566i | −0.719114 | − | 0.694892i | \(-0.755452\pi\) |
0.961351 | + | 0.275326i | \(0.0887857\pi\) | |||||||
\(90\) | 0.996772 | + | 1.01071i | 0.105069 | + | 0.106538i | ||||
\(91\) | −6.68511 | + | 1.57006i | −0.700790 | + | 0.164587i | ||||
\(92\) | −1.76917 | − | 0.901437i | −0.184449 | − | 0.0939813i | ||||
\(93\) | −6.51526 | + | 8.04568i | −0.675601 | + | 0.834298i | ||||
\(94\) | 10.8882 | + | 4.84774i | 1.12303 | + | 0.500007i | ||||
\(95\) | 0.504703 | − | 4.50109i | 0.0517814 | − | 0.461802i | ||||
\(96\) | −1.14289 | + | 1.02906i | −0.116646 | + | 0.105028i | ||||
\(97\) | −1.12547 | − | 7.10596i | −0.114275 | − | 0.721501i | −0.976587 | − | 0.215124i | \(-0.930984\pi\) |
0.862312 | − | 0.506377i | \(-0.169016\pi\) | |||||||
\(98\) | 1.52298 | − | 6.83232i | 0.153844 | − | 0.690168i | ||||
\(99\) | −2.07895 | + | 0.333438i | −0.208942 | + | 0.0335118i | ||||
\(100\) | 3.76182 | − | 3.29374i | 0.376182 | − | 0.329374i | ||||
\(101\) | −7.50242 | − | 0.788536i | −0.746518 | − | 0.0784622i | −0.276372 | − | 0.961051i | \(-0.589132\pi\) |
−0.470146 | + | 0.882588i | \(0.655799\pi\) | |||||||
\(102\) | 0.578727 | − | 0.891161i | 0.0573025 | − | 0.0882381i | ||||
\(103\) | 3.38675 | − | 2.19938i | 0.333707 | − | 0.216712i | −0.366898 | − | 0.930261i | \(-0.619580\pi\) |
0.700605 | + | 0.713549i | \(0.252914\pi\) | |||||||
\(104\) | 2.09979 | − | 1.52559i | 0.205901 | − | 0.149596i | ||||
\(105\) | −8.87162 | + | 2.01869i | −0.865781 | + | 0.197004i | ||||
\(106\) | −3.88226 | − | 11.9484i | −0.377079 | − | 1.16053i | ||||
\(107\) | −8.65895 | − | 0.453796i | −0.837092 | − | 0.0438702i | −0.371029 | − | 0.928621i | \(-0.620995\pi\) |
−0.466064 | + | 0.884751i | \(0.654328\pi\) | |||||||
\(108\) | 3.51793 | + | 4.34428i | 0.338513 | + | 0.418029i | ||||
\(109\) | 3.41695 | − | 1.97277i | 0.327284 | − | 0.188958i | −0.327351 | − | 0.944903i | \(-0.606156\pi\) |
0.654635 | + | 0.755945i | \(0.272822\pi\) | |||||||
\(110\) | 0.738397 | + | 7.37935i | 0.0704034 | + | 0.703593i | ||||
\(111\) | − | 1.44903i | − | 0.137536i | ||||||
\(112\) | 0.469290 | + | 2.60380i | 0.0443437 | + | 0.246036i | ||||
\(113\) | 5.61742 | − | 2.86222i | 0.528443 | − | 0.269255i | −0.169349 | − | 0.985556i | \(-0.554166\pi\) |
0.697791 | + | 0.716301i | \(0.254166\pi\) | |||||||
\(114\) | 0.647672 | − | 3.04706i | 0.0606600 | − | 0.285383i | ||||
\(115\) | 3.70674 | + | 2.44394i | 0.345655 | + | 0.227899i | ||||
\(116\) | 4.79868 | + | 2.13651i | 0.445547 | + | 0.198370i | ||||
\(117\) | −0.897407 | − | 1.38189i | −0.0829653 | − | 0.127755i | ||||
\(118\) | 3.89096 | + | 7.63645i | 0.358192 | + | 0.702992i | ||||
\(119\) | −0.778824 | − | 1.65382i | −0.0713947 | − | 0.151605i | ||||
\(120\) | 2.79607 | − | 2.00195i | 0.255245 | − | 0.182752i | ||||
\(121\) | −9.54770 | − | 5.46273i | −0.867973 | − | 0.496612i | ||||
\(122\) | −1.03825 | + | 3.87479i | −0.0939985 | + | 0.350807i | ||||
\(123\) | 4.38425 | − | 3.55030i | 0.395315 | − | 0.320120i | ||||
\(124\) | −4.50443 | − | 5.00268i | −0.404510 | − | 0.449254i | ||||
\(125\) | −9.17999 | + | 6.38183i | −0.821083 | + | 0.570808i | ||||
\(126\) | 1.66631 | − | 0.211003i | 0.148447 | − | 0.0187977i | ||||
\(127\) | 2.21034 | − | 13.9555i | 0.196136 | − | 1.23835i | −0.671443 | − | 0.741056i | \(-0.734325\pi\) |
0.867579 | − | 0.497299i | \(-0.165675\pi\) | |||||||
\(128\) | −0.544639 | − | 0.838671i | −0.0481397 | − | 0.0741287i | ||||
\(129\) | −16.1921 | + | 3.44174i | −1.42564 | + | 0.303029i | ||||
\(130\) | −5.04616 | + | 2.86687i | −0.442577 | + | 0.251441i | ||||
\(131\) | −1.74873 | − | 1.00963i | −0.152787 | − | 0.0882117i | 0.421657 | − | 0.906755i | \(-0.361449\pi\) |
−0.574444 | + | 0.818544i | \(0.694782\pi\) | |||||||
\(132\) | 0.00996589 | + | 5.10066i | 0.000867420 | + | 0.443955i | ||||
\(133\) | −3.86910 | − | 3.70815i | −0.335494 | − | 0.321537i | ||||
\(134\) | 8.61735 | − | 11.8608i | 0.744426 | − | 1.02461i | ||||
\(135\) | −6.73489 | − | 10.5302i | −0.579647 | − | 0.906292i | ||||
\(136\) | 0.513461 | + | 0.462322i | 0.0440289 | + | 0.0396438i | ||||
\(137\) | 18.9524 | − | 7.27515i | 1.61921 | − | 0.621558i | 0.631158 | − | 0.775654i | \(-0.282580\pi\) |
0.988056 | + | 0.154096i | \(0.0492467\pi\) | |||||||
\(138\) | 2.37313 | + | 1.92172i | 0.202014 | + | 0.163588i | ||||
\(139\) | −3.83701 | − | 11.8091i | −0.325451 | − | 1.00163i | −0.971237 | − | 0.238116i | \(-0.923470\pi\) |
0.645786 | − | 0.763519i | \(-0.276530\pi\) | |||||||
\(140\) | −0.394048 | − | 5.90294i | −0.0333032 | − | 0.498890i | ||||
\(141\) | −14.8291 | − | 10.7740i | −1.24883 | − | 0.907332i | ||||
\(142\) | 0.550520 | + | 2.05457i | 0.0461986 | + | 0.172416i | ||||
\(143\) | 0.883078 | − | 8.56283i | 0.0738467 | − | 0.716060i | ||||
\(144\) | −0.549785 | + | 0.317418i | −0.0458154 | + | 0.0264515i | ||||
\(145\) | −10.1310 | − | 5.94330i | −0.841335 | − | 0.493565i | ||||
\(146\) | −9.06445 | − | 2.94522i | −0.750179 | − | 0.243748i | ||||
\(147\) | −4.47564 | + | 9.79089i | −0.369145 | + | 0.807539i | ||||
\(148\) | 0.930607 | + | 0.147394i | 0.0764954 | + | 0.0121157i | ||||
\(149\) | −16.0586 | + | 1.68783i | −1.31557 | + | 0.138272i | −0.736185 | − | 0.676781i | \(-0.763374\pi\) |
−0.579386 | + | 0.815053i | \(0.696708\pi\) | |||||||
\(150\) | −6.71208 | + | 3.75193i | −0.548039 | + | 0.306344i | ||||
\(151\) | 15.3470 | − | 3.26210i | 1.24892 | − | 0.265466i | 0.464430 | − | 0.885610i | \(-0.346259\pi\) |
0.784488 | + | 0.620144i | \(0.212926\pi\) | |||||||
\(152\) | 1.89102 | + | 0.725896i | 0.153382 | + | 0.0588780i | ||||
\(153\) | 0.310157 | − | 0.310157i | 0.0250747 | − | 0.0250747i | ||||
\(154\) | 7.46816 | + | 4.60724i | 0.601801 | + | 0.371262i | ||||
\(155\) | 8.76299 | + | 12.2390i | 0.703861 | + | 0.983062i | ||||
\(156\) | −3.64652 | + | 1.62354i | −0.291956 | + | 0.129987i | ||||
\(157\) | −7.21661 | − | 4.68652i | −0.575948 | − | 0.374025i | 0.223551 | − | 0.974692i | \(-0.428235\pi\) |
−0.799499 | + | 0.600667i | \(0.794902\pi\) | |||||||
\(158\) | −0.419838 | + | 0.0220028i | −0.0334005 | + | 0.00175045i | ||||
\(159\) | 2.01961 | + | 19.2153i | 0.160165 | + | 1.52387i | ||||
\(160\) | 1.00130 | + | 1.99935i | 0.0791594 | + | 0.158063i | ||||
\(161\) | 4.96065 | − | 1.72912i | 0.390954 | − | 0.136274i | ||||
\(162\) | −3.03832 | − | 5.96304i | −0.238713 | − | 0.468500i | ||||
\(163\) | −3.81253 | − | 1.46349i | −0.298621 | − | 0.114630i | 0.204445 | − | 0.978878i | \(-0.434461\pi\) |
−0.503065 | + | 0.864248i | \(0.667794\pi\) | |||||||
\(164\) | 1.83414 | + | 3.17682i | 0.143222 | + | 0.248068i | ||||
\(165\) | 1.24877 | − | 11.3369i | 0.0972165 | − | 0.882574i | ||||
\(166\) | −6.43363 | − | 3.71446i | −0.499346 | − | 0.288298i | ||||
\(167\) | 2.34312 | + | 14.7939i | 0.181316 | + | 1.14478i | 0.895578 | + | 0.444905i | \(0.146762\pi\) |
−0.714262 | + | 0.699878i | \(0.753238\pi\) | |||||||
\(168\) | 0.126609 | − | 4.06695i | 0.00976811 | − | 0.313772i | ||||
\(169\) | −5.95691 | + | 1.93552i | −0.458224 | + | 0.148886i | ||||
\(170\) | −1.02579 | − | 1.15528i | −0.0786744 | − | 0.0886062i | ||||
\(171\) | 0.523023 | − | 1.17473i | 0.0399966 | − | 0.0898338i | ||||
\(172\) | −0.563338 | − | 10.7491i | −0.0429542 | − | 0.819614i | ||||
\(173\) | 21.1493 | + | 1.10839i | 1.60795 | + | 0.0842692i | 0.835020 | − | 0.550220i | \(-0.185456\pi\) |
0.772932 | + | 0.634489i | \(0.218789\pi\) | |||||||
\(174\) | −6.53552 | − | 4.74833i | −0.495456 | − | 0.359970i | ||||
\(175\) | −0.595185 | + | 13.2154i | −0.0449918 | + | 0.998987i | ||||
\(176\) | −3.27680 | − | 0.512433i | −0.246998 | − | 0.0386261i | ||||
\(177\) | −3.41144 | − | 12.7317i | −0.256419 | − | 0.956970i | ||||
\(178\) | −2.87632 | − | 3.55195i | −0.215589 | − | 0.266230i | ||||
\(179\) | 2.50026 | + | 11.7628i | 0.186878 | + | 0.879193i | 0.967240 | + | 0.253865i | \(0.0817017\pi\) |
−0.780361 | + | 0.625329i | \(0.784965\pi\) | |||||||
\(180\) | 1.30079 | − | 0.568361i | 0.0969552 | − | 0.0423631i | ||||
\(181\) | 6.58139 | + | 9.05850i | 0.489191 | + | 0.673313i | 0.980238 | − | 0.197819i | \(-0.0633860\pi\) |
−0.491048 | + | 0.871133i | \(0.663386\pi\) | |||||||
\(182\) | −0.929954 | + | 6.80375i | −0.0689328 | + | 0.504327i | ||||
\(183\) | 2.80080 | − | 5.49688i | 0.207041 | − | 0.406341i | ||||
\(184\) | −1.47558 | + | 1.32862i | −0.108781 | + | 0.0979469i | ||||
\(185\) | −2.03121 | − | 0.559406i | −0.149338 | − | 0.0411283i | ||||
\(186\) | 5.17643 | + | 8.96583i | 0.379554 | + | 0.657407i | ||||
\(187\) | 2.27853 | − | 0.243985i | 0.166623 | − | 0.0178420i | ||||
\(188\) | 8.42775 | − | 8.42775i | 0.614657 | − | 0.614657i | ||||
\(189\) | −14.7384 | − | 1.23324i | −1.07206 | − | 0.0897051i | ||||
\(190\) | −4.02126 | − | 2.08423i | −0.291733 | − | 0.151206i | ||||
\(191\) | 18.6278 | + | 3.95946i | 1.34786 | + | 0.286497i | 0.824620 | − | 0.565687i | \(-0.191389\pi\) |
0.523242 | + | 0.852184i | \(0.324722\pi\) | |||||||
\(192\) | 0.551137 | + | 1.43576i | 0.0397749 | + | 0.103617i | ||||
\(193\) | −4.64356 | − | 12.0969i | −0.334251 | − | 0.870753i | −0.992970 | − | 0.118364i | \(-0.962235\pi\) |
0.658719 | − | 0.752389i | \(-0.271098\pi\) | |||||||
\(194\) | −7.03732 | − | 1.49583i | −0.505250 | − | 0.107394i | ||||
\(195\) | 8.50763 | − | 2.69914i | 0.609244 | − | 0.193289i | ||||
\(196\) | −5.83273 | − | 3.87030i | −0.416624 | − | 0.276450i | ||||
\(197\) | 7.62041 | − | 7.62041i | 0.542931 | − | 0.542931i | −0.381456 | − | 0.924387i | \(-0.624577\pi\) |
0.924387 | + | 0.381456i | \(0.124577\pi\) | |||||||
\(198\) | −0.433737 | + | 2.06036i | −0.0308243 | + | 0.146423i | ||||
\(199\) | 8.53451 | + | 14.7822i | 0.604995 | + | 1.04788i | 0.992052 | + | 0.125827i | \(0.0401584\pi\) |
−0.387057 | + | 0.922056i | \(0.626508\pi\) | |||||||
\(200\) | −1.72685 | − | 4.69233i | −0.122107 | − | 0.331798i | ||||
\(201\) | −16.7556 | + | 15.0868i | −1.18185 | + | 1.06414i | ||||
\(202\) | −3.42479 | + | 6.72152i | −0.240967 | + | 0.472925i | ||||
\(203\) | −12.8659 | + | 5.25489i | −0.903007 | + | 0.368821i | ||||
\(204\) | −0.624573 | − | 0.859651i | −0.0437289 | − | 0.0601876i | ||||
\(205\) | −3.28416 | − | 7.51636i | −0.229376 | − | 0.524966i | ||||
\(206\) | −0.839598 | − | 3.95000i | −0.0584975 | − | 0.275209i | ||||
\(207\) | 0.793273 | + | 0.979611i | 0.0551363 | + | 0.0680876i | ||||
\(208\) | −0.671761 | − | 2.50705i | −0.0465782 | − | 0.173832i | ||||
\(209\) | 5.97984 | − | 3.06161i | 0.413634 | − | 0.211776i | ||||
\(210\) | −1.29469 | + | 9.00580i | −0.0893423 | + | 0.621459i | ||||
\(211\) | −9.02439 | − | 6.55660i | −0.621265 | − | 0.451375i | 0.232098 | − | 0.972692i | \(-0.425441\pi\) |
−0.853363 | + | 0.521317i | \(0.825441\pi\) | |||||||
\(212\) | −12.5460 | − | 0.657510i | −0.861666 | − | 0.0451580i | ||||
\(213\) | −0.171201 | − | 3.26672i | −0.0117305 | − | 0.223832i | ||||
\(214\) | −3.52675 | + | 7.92120i | −0.241083 | + | 0.541482i | ||||
\(215\) | −1.42651 | + | 24.0265i | −0.0972871 | + | 1.63859i | ||||
\(216\) | 5.31645 | − | 1.72742i | 0.361739 | − | 0.117536i | ||||
\(217\) | 17.8020 | + | 0.554197i | 1.20848 | + | 0.0376213i | ||||
\(218\) | −0.617220 | − | 3.89697i | −0.0418034 | − | 0.263936i | ||||
\(219\) | 12.6939 | + | 7.32885i | 0.857777 | + | 0.495238i | ||||
\(220\) | 7.15383 | + | 1.95517i | 0.482311 | + | 0.131817i | ||||
\(221\) | 0.896649 | + | 1.55304i | 0.0603151 | + | 0.104469i | ||||
\(222\) | −1.35278 | − | 0.519285i | −0.0907929 | − | 0.0348521i | ||||
\(223\) | −11.9839 | − | 23.5197i | −0.802502 | − | 1.57500i | −0.818069 | − | 0.575120i | \(-0.804955\pi\) |
0.0155675 | − | 0.999879i | \(-0.495045\pi\) | |||||||
\(224\) | 2.59903 | + | 0.494998i | 0.173655 | + | 0.0330735i | ||||
\(225\) | −3.03216 | + | 0.938865i | −0.202144 | + | 0.0625910i | ||||
\(226\) | −0.659008 | − | 6.27004i | −0.0438366 | − | 0.417077i | ||||
\(227\) | 26.0307 | − | 1.36421i | 1.72772 | − | 0.0905458i | 0.837602 | − | 0.546281i | \(-0.183957\pi\) |
0.890116 | + | 0.455735i | \(0.150623\pi\) | |||||||
\(228\) | −2.61257 | − | 1.69662i | −0.173021 | − | 0.112361i | ||||
\(229\) | 3.32541 | − | 1.48057i | 0.219750 | − | 0.0978388i | −0.293909 | − | 0.955833i | \(-0.594956\pi\) |
0.513659 | + | 0.857995i | \(0.328290\pi\) | |||||||
\(230\) | 3.60999 | − | 2.58471i | 0.238036 | − | 0.170431i | ||||
\(231\) | −9.76120 | − | 9.31861i | −0.642240 | − | 0.613120i | ||||
\(232\) | 3.71430 | − | 3.71430i | 0.243856 | − | 0.243856i | ||||
\(233\) | 10.8763 | + | 4.17501i | 0.712528 | + | 0.273514i | 0.687512 | − | 0.726173i | \(-0.258703\pi\) |
0.0250162 | + | 0.999687i | \(0.492036\pi\) | |||||||
\(234\) | −1.61170 | + | 0.342578i | −0.105360 | + | 0.0223950i | ||||
\(235\) | −20.8276 | + | 16.6277i | −1.35864 | + | 1.08467i | ||||
\(236\) | 8.52364 | − | 0.895870i | 0.554841 | − | 0.0583162i | ||||
\(237\) | 0.638598 | + | 0.101144i | 0.0414814 | + | 0.00657000i | ||||
\(238\) | −1.82308 | + | 0.134419i | −0.118173 | + | 0.00871309i | ||||
\(239\) | −5.66665 | − | 1.84121i | −0.366545 | − | 0.119098i | 0.119952 | − | 0.992780i | \(-0.461726\pi\) |
−0.486498 | + | 0.873682i | \(0.661726\pi\) | |||||||
\(240\) | −0.866961 | − | 3.32779i | −0.0559621 | − | 0.214808i | ||||
\(241\) | −10.2302 | + | 5.90639i | −0.658983 | + | 0.380464i | −0.791889 | − | 0.610665i | \(-0.790902\pi\) |
0.132906 | + | 0.991129i | \(0.457569\pi\) | |||||||
\(242\) | −8.52149 | + | 6.95588i | −0.547782 | + | 0.447141i | ||||
\(243\) | −1.67656 | − | 6.25701i | −0.107551 | − | 0.401387i | ||||
\(244\) | 3.24536 | + | 2.35789i | 0.207763 | + | 0.150948i | ||||
\(245\) | 11.9968 | + | 10.0537i | 0.766448 | + | 0.642306i | ||||
\(246\) | −1.74331 | − | 5.36537i | −0.111150 | − | 0.342083i | ||||
\(247\) | 4.08570 | + | 3.30853i | 0.259967 | + | 0.210517i | ||||
\(248\) | −6.28465 | + | 2.41245i | −0.399076 | + | 0.153191i | ||||
\(249\) | 8.49042 | + | 7.64481i | 0.538059 | + | 0.484470i | ||||
\(250\) | 2.66814 | + | 10.8573i | 0.168748 | + | 0.686676i | ||||
\(251\) | 4.74926 | − | 6.53680i | 0.299771 | − | 0.412599i | −0.632386 | − | 0.774653i | \(-0.717924\pi\) |
0.932157 | + | 0.362054i | \(0.117924\pi\) | |||||||
\(252\) | 0.400165 | − | 1.63126i | 0.0252080 | − | 0.102759i | ||||
\(253\) | 0.0128669 | + | 6.58543i | 0.000808936 | + | 0.414023i | ||||
\(254\) | −12.2365 | − | 7.06475i | −0.767787 | − | 0.443282i | ||||
\(255\) | 1.17369 | + | 2.06589i | 0.0734996 | + | 0.129371i | ||||
\(256\) | −0.978148 | + | 0.207912i | −0.0611342 | + | 0.0129945i | ||||
\(257\) | −0.216457 | − | 0.333315i | −0.0135022 | − | 0.0207916i | 0.831855 | − | 0.554993i | \(-0.187279\pi\) |
−0.845357 | + | 0.534201i | \(0.820612\pi\) | |||||||
\(258\) | −2.58960 | + | 16.3501i | −0.161221 | + | 1.01791i | ||||
\(259\) | −1.98518 | + | 1.50776i | −0.123353 | + | 0.0936875i | ||||
\(260\) | 0.868076 | + | 5.73839i | 0.0538358 | + | 0.355880i | ||||
\(261\) | −2.23134 | − | 2.47815i | −0.138116 | − | 0.153394i | ||||
\(262\) | −1.56926 | + | 1.27076i | −0.0969491 | + | 0.0785078i | ||||
\(263\) | −5.89658 | + | 22.0063i | −0.363599 | + | 1.35697i | 0.505712 | + | 0.862702i | \(0.331230\pi\) |
−0.869311 | + | 0.494266i | \(0.835437\pi\) | |||||||
\(264\) | 4.76544 | + | 1.81861i | 0.293293 | + | 0.111928i | ||||
\(265\) | 27.7153 | + | 4.58714i | 1.70253 | + | 0.281786i | ||||
\(266\) | −4.84842 | + | 2.28324i | −0.297275 | + | 0.139994i | ||||
\(267\) | 3.19111 | + | 6.26291i | 0.195293 | + | 0.383284i | ||||
\(268\) | −7.98480 | − | 12.2955i | −0.487749 | − | 0.751068i | ||||
\(269\) | −17.8333 | − | 7.93990i | −1.08732 | − | 0.484105i | −0.216786 | − | 0.976219i | \(-0.569557\pi\) |
−0.870530 | + | 0.492115i | \(0.836224\pi\) | |||||||
\(270\) | −12.2443 | + | 2.51389i | −0.745166 | + | 0.152990i | ||||
\(271\) | 3.57115 | − | 16.8010i | 0.216932 | − | 1.02059i | −0.726024 | − | 0.687669i | \(-0.758634\pi\) |
0.942956 | − | 0.332916i | \(-0.108033\pi\) | |||||||
\(272\) | 0.615623 | − | 0.313676i | 0.0373276 | − | 0.0190194i | ||||
\(273\) | 3.57442 | − | 9.93753i | 0.216334 | − | 0.601447i | ||||
\(274\) | − | 20.3008i | − | 1.22641i | ||||||
\(275\) | −15.4097 | − | 6.12716i | −0.929238 | − | 0.369482i | ||||
\(276\) | 2.64454 | − | 1.52682i | 0.159183 | − | 0.0919041i | ||||
\(277\) | −15.9834 | − | 19.7379i | −0.960352 | − | 1.18594i | −0.982515 | − | 0.186182i | \(-0.940389\pi\) |
0.0221629 | − | 0.999754i | \(-0.492945\pi\) | |||||||
\(278\) | −12.3998 | − | 0.649846i | −0.743691 | − | 0.0389752i | ||||
\(279\) | 1.32061 | + | 4.06441i | 0.0790627 | + | 0.243330i | ||||
\(280\) | −5.65209 | − | 1.74755i | −0.337777 | − | 0.104436i | ||||
\(281\) | 2.55805 | − | 1.85853i | 0.152600 | − | 0.110871i | −0.508865 | − | 0.860846i | \(-0.669935\pi\) |
0.661465 | + | 0.749976i | \(0.269935\pi\) | |||||||
\(282\) | −15.3726 | + | 9.98311i | −0.915427 | + | 0.594485i | ||||
\(283\) | 0.810682 | − | 1.24834i | 0.0481900 | − | 0.0742061i | −0.813754 | − | 0.581209i | \(-0.802580\pi\) |
0.861944 | + | 0.507003i | \(0.169247\pi\) | |||||||
\(284\) | 2.11539 | + | 0.222337i | 0.125526 | + | 0.0131933i | ||||
\(285\) | 5.38275 | + | 4.42110i | 0.318847 | + | 0.261883i | ||||
\(286\) | −7.67763 | − | 3.89307i | −0.453987 | − | 0.230202i | ||||
\(287\) | −9.42589 | − | 2.31227i | −0.556393 | − | 0.136489i | ||||
\(288\) | 0.0993104 | + | 0.627021i | 0.00585192 | + | 0.0369476i | ||||
\(289\) | 12.2787 | − | 11.0558i | 0.722276 | − | 0.650340i | ||||
\(290\) | −9.17918 | + | 7.32822i | −0.539020 | + | 0.430328i | ||||
\(291\) | 10.1080 | + | 4.50036i | 0.592539 | + | 0.263816i | ||||
\(292\) | −5.99801 | + | 7.40692i | −0.351007 | + | 0.433457i | ||||
\(293\) | −11.7900 | − | 6.00733i | −0.688782 | − | 0.350952i | 0.0743161 | − | 0.997235i | \(-0.476323\pi\) |
−0.763098 | + | 0.646283i | \(0.776323\pi\) | |||||||
\(294\) | 7.53666 | + | 7.68711i | 0.439547 | + | 0.448322i | ||||
\(295\) | −19.1640 | − | 0.133055i | −1.11577 | − | 0.00774678i | ||||
\(296\) | 0.471103 | − | 0.815975i | 0.0273823 | − | 0.0474276i | ||||
\(297\) | 7.50783 | − | 16.9519i | 0.435648 | − | 0.983650i | ||||
\(298\) | −4.17916 | + | 15.5968i | −0.242092 | + | 0.903501i | ||||
\(299\) | −4.70801 | + | 2.09614i | −0.272271 | + | 0.121223i | ||||
\(300\) | 1.09734 | + | 7.61084i | 0.0633547 | + | 0.439412i | ||||
\(301\) | 21.5636 | + | 18.6021i | 1.24291 | + | 1.07221i | ||||
\(302\) | 2.45443 | − | 15.4967i | 0.141236 | − | 0.891732i | ||||
\(303\) | 7.30112 | − | 9.01613i | 0.419438 | − | 0.517963i | ||||
\(304\) | 1.35537 | − | 1.50529i | 0.0777355 | − | 0.0863341i | ||||
\(305\) | −6.62414 | − | 6.04820i | −0.379297 | − | 0.346319i | ||||
\(306\) | −0.178406 | − | 0.400707i | −0.0101988 | − | 0.0229069i | ||||
\(307\) | 6.68874 | + | 6.68874i | 0.381747 | + | 0.381747i | 0.871731 | − | 0.489984i | \(-0.162998\pi\) |
−0.489984 | + | 0.871731i | \(0.662998\pi\) | |||||||
\(308\) | 6.97757 | − | 5.32104i | 0.397584 | − | 0.303194i | ||||
\(309\) | 6.21045i | 0.353300i | ||||||||
\(310\) | 14.5665 | − | 3.79488i | 0.827321 | − | 0.215535i | ||||
\(311\) | −0.531955 | − | 2.50265i | −0.0301644 | − | 0.141912i | 0.960488 | − | 0.278320i | \(-0.0897776\pi\) |
−0.990653 | + | 0.136408i | \(0.956444\pi\) | |||||||
\(312\) | 0.208905 | + | 3.98615i | 0.0118269 | + | 0.225671i | ||||
\(313\) | −6.33410 | − | 5.12925i | −0.358024 | − | 0.289922i | 0.433385 | − | 0.901209i | \(-0.357319\pi\) |
−0.791409 | + | 0.611286i | \(0.790652\pi\) | |||||||
\(314\) | −6.96144 | + | 5.05778i | −0.392857 | + | 0.285427i | ||||
\(315\) | −1.29568 | + | 3.52517i | −0.0730032 | + | 0.198621i | ||||
\(316\) | −0.129915 | + | 0.399837i | −0.00730829 | + | 0.0224926i | ||||
\(317\) | −2.57339 | + | 6.70390i | −0.144536 | + | 0.376529i | −0.986669 | − | 0.162741i | \(-0.947966\pi\) |
0.842133 | + | 0.539270i | \(0.181300\pi\) | |||||||
\(318\) | 18.6628 | + | 5.00068i | 1.04656 | + | 0.280424i | ||||
\(319\) | −0.945767 | − | 17.3959i | −0.0529528 | − | 0.973984i | ||||
\(320\) | 2.22539 | − | 0.218288i | 0.124403 | − | 0.0122026i | ||||
\(321\) | 7.83809 | − | 10.7882i | 0.437479 | − | 0.602139i | ||||
\(322\) | 0.163465 | − | 5.25082i | 0.00910952 | − | 0.292617i | ||||
\(323\) | −0.635369 | + | 1.24698i | −0.0353529 | + | 0.0693840i | ||||
\(324\) | −6.65581 | + | 0.699554i | −0.369767 | + | 0.0388641i | ||||
\(325\) | −0.499171 | − | 12.9678i | −0.0276890 | − | 0.719325i | ||||
\(326\) | −2.73258 | + | 3.03484i | −0.151344 | + | 0.168084i | ||||
\(327\) | −0.317569 | + | 6.05958i | −0.0175616 | + | 0.335095i | ||||
\(328\) | 3.62312 | − | 0.573846i | 0.200053 | − | 0.0316853i | ||||
\(329\) | 0.669686 | + | 31.5266i | 0.0369210 | + | 1.73812i | ||||
\(330\) | −10.1364 | − | 5.22860i | −0.557988 | − | 0.287825i | ||||
\(331\) | 3.15630 | − | 5.46686i | 0.173486 | − | 0.300486i | −0.766150 | − | 0.642661i | \(-0.777830\pi\) |
0.939636 | + | 0.342175i | \(0.111164\pi\) | |||||||
\(332\) | −5.77335 | + | 4.67517i | −0.316854 | + | 0.256583i | ||||
\(333\) | −0.501649 | − | 0.325775i | −0.0274902 | − | 0.0178523i | ||||
\(334\) | 14.6510 | + | 3.11416i | 0.801664 | + | 0.170399i | ||||
\(335\) | 14.6797 | + | 29.3119i | 0.802039 | + | 1.60148i | ||||
\(336\) | −3.75146 | − | 1.57567i | −0.204659 | − | 0.0859596i | ||||
\(337\) | 21.2052 | + | 10.8046i | 1.15512 | + | 0.588563i | 0.923256 | − | 0.384185i | \(-0.125518\pi\) |
0.231864 | + | 0.972748i | \(0.425518\pi\) | |||||||
\(338\) | −0.327804 | + | 6.25488i | −0.0178302 | + | 0.340221i | ||||
\(339\) | −1.01349 | + | 9.64275i | −0.0550455 | + | 0.523723i | ||||
\(340\) | −1.44616 | + | 0.543639i | −0.0784290 | + | 0.0294830i | ||||
\(341\) | −7.96046 | + | 20.8594i | −0.431083 | + | 1.12960i | ||||
\(342\) | −0.909270 | − | 0.909270i | −0.0491677 | − | 0.0491677i | ||||
\(343\) | 18.0707 | − | 4.05605i | 0.975723 | − | 0.219006i | ||||
\(344\) | −10.2371 | − | 3.32622i | −0.551946 | − | 0.179338i | ||||
\(345\) | −6.25697 | + | 2.73389i | −0.336864 | + | 0.147188i | ||||
\(346\) | 8.61400 | − | 19.3474i | 0.463092 | − | 1.04012i | ||||
\(347\) | 31.5873 | − | 12.1252i | 1.69569 | − | 0.650916i | 0.697831 | − | 0.716262i | \(-0.254148\pi\) |
0.997863 | + | 0.0653460i | \(0.0208151\pi\) | |||||||
\(348\) | −6.77507 | + | 4.39978i | −0.363182 | + | 0.235853i | ||||
\(349\) | −2.15403 | + | 6.62944i | −0.115303 | + | 0.354866i | −0.992010 | − | 0.126159i | \(-0.959735\pi\) |
0.876707 | + | 0.481024i | \(0.159735\pi\) | |||||||
\(350\) | 12.1243 | + | 5.29161i | 0.648071 | + | 0.282849i | ||||
\(351\) | 14.5089 | 0.774427 | ||||||||
\(352\) | −1.65270 | + | 2.87552i | −0.0880891 | + | 0.153266i | ||||
\(353\) | −29.3344 | − | 7.86013i | −1.56131 | − | 0.418352i | −0.628234 | − | 0.778025i | \(-0.716222\pi\) |
−0.933079 | + | 0.359672i | \(0.882889\pi\) | |||||||
\(354\) | −13.1086 | − | 1.37777i | −0.696713 | − | 0.0732275i | ||||
\(355\) | −4.64531 | − | 1.02115i | −0.246547 | − | 0.0541970i | ||||
\(356\) | −4.34681 | + | 1.41237i | −0.230381 | + | 0.0748552i | ||||
\(357\) | 2.78544 | + | 0.380722i | 0.147421 | + | 0.0201499i | ||||
\(358\) | 11.8775 | + | 1.88122i | 0.627747 | + | 0.0994254i | ||||
\(359\) | −6.41453 | + | 30.1780i | −0.338546 | + | 1.59273i | 0.398682 | + | 0.917089i | \(0.369468\pi\) |
−0.737228 | + | 0.675645i | \(0.763865\pi\) | |||||||
\(360\) | −0.0644490 | − | 1.41807i | −0.00339676 | − | 0.0747391i | ||||
\(361\) | 1.55717 | − | 14.8155i | 0.0819564 | − | 0.779763i | ||||
\(362\) | 10.8154 | − | 2.89798i | 0.568445 | − | 0.152314i | ||||
\(363\) | 15.0430 | − | 7.73900i | 0.789554 | − | 0.406192i | ||||
\(364\) | 6.01858 | + | 3.30643i | 0.315459 | + | 0.173304i | ||||
\(365\) | 15.1740 | − | 14.9647i | 0.794243 | − | 0.783290i | ||||
\(366\) | −4.12806 | − | 4.58468i | −0.215777 | − | 0.239645i | ||||
\(367\) | 34.6893 | − | 1.81799i | 1.81077 | − | 0.0948982i | 0.883301 | − | 0.468807i | \(-0.155316\pi\) |
0.927466 | + | 0.373909i | \(0.121983\pi\) | |||||||
\(368\) | 0.711570 | + | 1.85370i | 0.0370932 | + | 0.0966310i | ||||
\(369\) | −0.243422 | − | 2.31600i | −0.0126720 | − | 0.120566i | ||||
\(370\) | −1.25017 | + | 1.69583i | −0.0649934 | + | 0.0881620i | ||||
\(371\) | 24.2237 | − | 22.7610i | 1.25763 | − | 1.18169i | ||||
\(372\) | 10.2254 | − | 1.61954i | 0.530162 | − | 0.0839694i | ||||
\(373\) | −11.5327 | + | 3.09017i | −0.597139 | + | 0.160003i | −0.544714 | − | 0.838622i | \(-0.683362\pi\) |
−0.0524248 | + | 0.998625i | \(0.516695\pi\) | |||||||
\(374\) | 0.588772 | − | 2.21463i | 0.0304447 | − | 0.114516i | ||||
\(375\) | −0.542068 | − | 17.1858i | −0.0279923 | − | 0.887471i | ||||
\(376\) | −4.84774 | − | 10.8882i | −0.250003 | − | 0.561517i | ||||
\(377\) | 12.1476 | − | 6.18952i | 0.625634 | − | 0.318777i | ||||
\(378\) | −6.43309 | + | 13.3175i | −0.330882 | + | 0.684978i | ||||
\(379\) | −4.21141 | − | 5.79650i | −0.216325 | − | 0.297746i | 0.687039 | − | 0.726621i | \(-0.258910\pi\) |
−0.903364 | + | 0.428874i | \(0.858910\pi\) | |||||||
\(380\) | −3.38688 | + | 3.00725i | −0.173743 | + | 0.154269i | ||||
\(381\) | 16.1485 | + | 14.5401i | 0.827310 | + | 0.744914i | ||||
\(382\) | 10.3721 | − | 15.9716i | 0.530682 | − | 0.817179i | ||||
\(383\) | −0.695107 | + | 1.81082i | −0.0355183 | + | 0.0925284i | −0.950193 | − | 0.311663i | \(-0.899114\pi\) |
0.914674 | + | 0.404192i | \(0.132447\pi\) | |||||||
\(384\) | 1.53791 | 0.0784811 | ||||||||
\(385\) | −16.8310 | + | 10.0855i | −0.857787 | + | 0.514006i | ||||
\(386\) | −12.9575 | −0.659521 | ||||||||
\(387\) | −2.44884 | + | 6.37945i | −0.124482 | + | 0.324286i | ||||
\(388\) | −3.91843 | + | 6.03385i | −0.198928 | + | 0.306322i | ||||
\(389\) | 6.40493 | + | 5.76702i | 0.324743 | + | 0.292400i | 0.815335 | − | 0.578990i | \(-0.196553\pi\) |
−0.490592 | + | 0.871389i | \(0.663219\pi\) | |||||||
\(390\) | 0.528998 | − | 8.90984i | 0.0267869 | − | 0.451167i | ||||
\(391\) | −0.806383 | − | 1.10989i | −0.0407805 | − | 0.0561296i | ||||
\(392\) | −5.70350 | + | 4.05833i | −0.288070 | + | 0.204977i | ||||
\(393\) | 2.76696 | − | 1.40984i | 0.139575 | − | 0.0711169i | ||||
\(394\) | −4.38335 | − | 9.84517i | −0.220830 | − | 0.495993i | ||||
\(395\) | 0.388316 | − | 0.856125i | 0.0195383 | − | 0.0430763i | ||||
\(396\) | 1.76807 | + | 1.14329i | 0.0888489 | + | 0.0574527i | ||||
\(397\) | −2.92465 | + | 0.783657i | −0.146784 | + | 0.0393306i | −0.331463 | − | 0.943468i | \(-0.607542\pi\) |
0.184679 | + | 0.982799i | \(0.440875\pi\) | |||||||
\(398\) | 16.8589 | − | 2.67018i | 0.845059 | − | 0.133844i | ||||
\(399\) | 8.02354 | − | 1.88440i | 0.401680 | − | 0.0943380i | ||||
\(400\) | −4.99952 | − | 0.0694267i | −0.249976 | − | 0.00347133i | ||||
\(401\) | −2.31036 | − | 21.9816i | −0.115374 | − | 1.09771i | −0.887044 | − | 0.461685i | \(-0.847245\pi\) |
0.771670 | − | 0.636023i | \(-0.219422\pi\) | |||||||
\(402\) | 8.08006 | + | 21.0493i | 0.402997 | + | 1.04984i | ||||
\(403\) | −17.4483 | + | 0.914425i | −0.869160 | + | 0.0455507i | ||||
\(404\) | 5.04775 | + | 5.60609i | 0.251135 | + | 0.278914i | ||||
\(405\) | 14.9645 | + | 0.103898i | 0.743590 | + | 0.00516275i | ||||
\(406\) | 0.295146 | + | 13.8945i | 0.0146478 | + | 0.689573i | ||||
\(407\) | −0.971467 | − | 2.97011i | −0.0481538 | − | 0.147223i | ||||
\(408\) | −1.02638 | + | 0.275018i | −0.0508134 | + | 0.0136154i | ||||
\(409\) | 3.35610 | − | 31.9312i | 0.165948 | − | 1.57889i | −0.521879 | − | 0.853020i | \(-0.674769\pi\) |
0.687827 | − | 0.725874i | \(-0.258565\pi\) | |||||||
\(410\) | −8.19407 | + | 0.372406i | −0.404676 | + | 0.0183918i | ||||
\(411\) | −6.49116 | + | 30.5385i | −0.320185 | + | 1.50635i | ||||
\(412\) | −3.98852 | − | 0.631720i | −0.196501 | − | 0.0311226i | ||||
\(413\) | −13.8928 | + | 17.9214i | −0.683619 | + | 0.881853i | ||||
\(414\) | 1.19883 | − | 0.389523i | 0.0589192 | − | 0.0191440i | ||||
\(415\) | 13.9941 | − | 8.95036i | 0.686943 | − | 0.439356i | ||||
\(416\) | −2.58127 | − | 0.271302i | −0.126557 | − | 0.0133017i | ||||
\(417\) | 18.4453 | + | 4.94239i | 0.903268 | + | 0.242030i | ||||
\(418\) | −0.715278 | − | 6.67984i | −0.0349854 | − | 0.326722i | ||||
\(419\) | −19.3763 | −0.946594 | −0.473297 | − | 0.880903i | \(-0.656936\pi\) | ||||
−0.473297 | + | 0.880903i | \(0.656936\pi\) | |||||||
\(420\) | 7.94366 | + | 4.43609i | 0.387611 | + | 0.216459i | ||||
\(421\) | −10.3903 | + | 31.9779i | −0.506390 | + | 1.55851i | 0.292030 | + | 0.956409i | \(0.405669\pi\) |
−0.798421 | + | 0.602100i | \(0.794331\pi\) | |||||||
\(422\) | −9.35517 | + | 6.07532i | −0.455402 | + | 0.295742i | ||||
\(423\) | −7.06383 | + | 2.71155i | −0.343455 | + | 0.131840i | ||||
\(424\) | −5.10994 | + | 11.4771i | −0.248161 | + | 0.557378i | ||||
\(425\) | 3.34903 | − | 0.847709i | 0.162452 | − | 0.0411199i | ||||
\(426\) | −3.11110 | − | 1.01086i | −0.150733 | − | 0.0489762i | ||||
\(427\) | −10.4451 | + | 1.88255i | −0.505473 | + | 0.0911028i | ||||
\(428\) | 6.13121 | + | 6.13121i | 0.296363 | + | 0.296363i | ||||
\(429\) | 10.3047 | + | 8.31126i | 0.497514 | + | 0.401272i | ||||
\(430\) | 21.9194 | + | 9.94208i | 1.05705 | + | 0.479450i | ||||
\(431\) | 2.40490 | − | 22.8811i | 0.115840 | − | 1.10214i | −0.769965 | − | 0.638086i | \(-0.779726\pi\) |
0.885805 | − | 0.464057i | \(-0.153607\pi\) | |||||||
\(432\) | 0.292560 | − | 5.58239i | 0.0140758 | − | 0.268583i | ||||
\(433\) | 17.8891 | + | 9.11497i | 0.859697 | + | 0.438037i | 0.827514 | − | 0.561445i | \(-0.189754\pi\) |
0.0321825 | + | 0.999482i | \(0.489754\pi\) | |||||||
\(434\) | 6.89704 | − | 16.4210i | 0.331069 | − | 0.788232i | ||||
\(435\) | 16.1515 | − | 8.08882i | 0.774403 | − | 0.387829i | ||||
\(436\) | −3.85933 | − | 0.820326i | −0.184828 | − | 0.0392865i | ||||
\(437\) | −3.37307 | − | 2.19050i | −0.161356 | − | 0.104786i | ||||
\(438\) | 11.3912 | − | 9.22439i | 0.544291 | − | 0.440758i | ||||
\(439\) | 9.79684 | − | 16.9686i | 0.467578 | − | 0.809868i | −0.531736 | − | 0.846910i | \(-0.678460\pi\) |
0.999314 | + | 0.0370420i | \(0.0117935\pi\) | |||||||
\(440\) | 4.38901 | − | 5.97801i | 0.209238 | − | 0.284990i | ||||
\(441\) | 2.38335 | + | 3.75067i | 0.113493 | + | 0.178603i | ||||
\(442\) | 1.77122 | − | 0.280534i | 0.0842483 | − | 0.0133436i | ||||
\(443\) | −0.567605 | + | 10.8306i | −0.0269677 | + | 0.514575i | 0.951433 | + | 0.307857i | \(0.0996117\pi\) |
−0.978400 | + | 0.206718i | \(0.933722\pi\) | |||||||
\(444\) | −0.969589 | + | 1.07684i | −0.0460147 | + | 0.0511045i | ||||
\(445\) | 10.0112 | − | 2.05540i | 0.474574 | − | 0.0974351i | ||||
\(446\) | −26.2522 | + | 2.75922i | −1.24308 | + | 0.130653i | ||||
\(447\) | 11.2738 | − | 22.1261i | 0.533232 | − | 1.04653i | ||||
\(448\) | 1.39353 | − | 2.24902i | 0.0658382 | − | 0.106256i | ||||
\(449\) | −7.51222 | + | 10.3397i | −0.354524 | + | 0.487960i | −0.948613 | − | 0.316439i | \(-0.897513\pi\) |
0.594089 | + | 0.804399i | \(0.297513\pi\) | |||||||
\(450\) | −0.210122 | + | 3.16722i | −0.00990526 | + | 0.149304i | ||||
\(451\) | 6.60630 | − | 10.2165i | 0.311078 | − | 0.481074i | ||||
\(452\) | −6.08976 | − | 1.63175i | −0.286438 | − | 0.0767509i | ||||
\(453\) | −8.64724 | + | 22.5268i | −0.406283 | + | 1.05840i | ||||
\(454\) | 8.05497 | − | 24.7906i | 0.378038 | − | 1.16348i | ||||
\(455\) | −12.5503 | − | 8.84699i | −0.588366 | − | 0.414753i | ||||
\(456\) | −2.52019 | + | 1.83103i | −0.118019 | + | 0.0857457i | ||||
\(457\) | 18.0740 | + | 14.6361i | 0.845467 | + | 0.684646i | 0.950805 | − | 0.309791i | \(-0.100259\pi\) |
−0.105337 | + | 0.994437i | \(0.533592\pi\) | |||||||
\(458\) | −0.190509 | − | 3.63513i | −0.00890191 | − | 0.169858i | ||||
\(459\) | 0.803024 | + | 3.77793i | 0.0374819 | + | 0.176339i | ||||
\(460\) | −1.11933 | − | 4.29649i | −0.0521890 | − | 0.200325i | ||||
\(461\) | 20.5337i | 0.956348i | 0.878265 | + | 0.478174i | \(0.158701\pi\) | ||||
−0.878265 | + | 0.478174i | \(0.841299\pi\) | |||||||
\(462\) | −12.1978 | + | 5.77337i | −0.567492 | + | 0.268602i | ||||
\(463\) | 5.21922 | + | 5.21922i | 0.242558 | + | 0.242558i | 0.817908 | − | 0.575350i | \(-0.195134\pi\) |
−0.575350 | + | 0.817908i | \(0.695134\pi\) | |||||||
\(464\) | −2.13651 | − | 4.79868i | −0.0991851 | − | 0.222773i | ||||
\(465\) | −23.1258 | + | 1.05103i | −1.07243 | + | 0.0487402i | ||||
\(466\) | 7.79541 | − | 8.65768i | 0.361116 | − | 0.401059i | ||||
\(467\) | −19.8603 | + | 24.5255i | −0.919027 | + | 1.13490i | 0.0714803 | + | 0.997442i | \(0.477228\pi\) |
−0.990507 | + | 0.137462i | \(0.956106\pi\) | |||||||
\(468\) | −0.257759 | + | 1.62742i | −0.0119149 | + | 0.0752277i | ||||
\(469\) | 38.1037 | + | 7.25703i | 1.75946 | + | 0.335098i | ||||
\(470\) | 8.05940 | + | 25.4031i | 0.371752 | + | 1.17176i | ||||
\(471\) | 12.0893 | − | 5.38252i | 0.557047 | − | 0.248013i | ||||
\(472\) | 2.21823 | − | 8.27855i | 0.102102 | − | 0.381051i | ||||
\(473\) | −30.8820 | + | 17.9103i | −1.41996 | + | 0.823515i | ||||
\(474\) | 0.323279 | − | 0.559936i | 0.0148487 | − | 0.0257187i | ||||
\(475\) | 8.27544 | − | 5.83863i | 0.379703 | − | 0.267895i | ||||
\(476\) | −0.527843 | + | 1.75016i | −0.0241936 | + | 0.0802186i | ||||
\(477\) | 7.10633 | + | 3.62086i | 0.325377 | + | 0.165788i | ||||
\(478\) | −3.74966 | + | 4.63045i | −0.171506 | + | 0.211792i | ||||
\(479\) | −16.4019 | − | 7.30261i | −0.749424 | − | 0.333665i | −0.00376496 | − | 0.999993i | \(-0.501198\pi\) |
−0.745659 | + | 0.666328i | \(0.767865\pi\) | |||||||
\(480\) | −3.41745 | − | 0.383196i | −0.155985 | − | 0.0174904i | ||||
\(481\) | 1.81735 | − | 1.63635i | 0.0828639 | − | 0.0746110i | ||||
\(482\) | 1.84793 | + | 11.6673i | 0.0841707 | + | 0.531433i | ||||
\(483\) | −1.92485 | + | 7.84655i | −0.0875835 | + | 0.357031i | ||||
\(484\) | 3.44004 | + | 10.4483i | 0.156366 | + | 0.474921i | ||||
\(485\) | 10.2107 | − | 12.4317i | 0.463646 | − | 0.564496i | ||||
\(486\) | −6.44225 | − | 0.677107i | −0.292226 | − | 0.0307142i | ||||
\(487\) | 4.67128 | − | 7.19314i | 0.211676 | − | 0.325952i | −0.716845 | − | 0.697233i | \(-0.754414\pi\) |
0.928521 | + | 0.371280i | \(0.121081\pi\) | |||||||
\(488\) | 3.36431 | − | 2.18481i | 0.152295 | − | 0.0989017i | ||||
\(489\) | 5.08101 | − | 3.69157i | 0.229771 | − | 0.166939i | ||||
\(490\) | 13.6852 | − | 7.59707i | 0.618234 | − | 0.343200i | ||||
\(491\) | 5.82642 | + | 17.9319i | 0.262942 | + | 0.809254i | 0.992160 | + | 0.124972i | \(0.0398841\pi\) |
−0.729218 | + | 0.684282i | \(0.760116\pi\) | |||||||
\(492\) | −5.63375 | − | 0.295252i | −0.253989 | − | 0.0133110i | ||||
\(493\) | 2.28401 | + | 2.82052i | 0.102867 | + | 0.127030i | ||||
\(494\) | 4.55297 | − | 2.62866i | 0.204848 | − | 0.118269i | ||||
\(495\) | −3.64404 | − | 2.98111i | −0.163787 | − | 0.133991i | ||||
\(496\) | 6.73177i | 0.302265i | ||||||||
\(497\) | −4.29729 | + | 3.63367i | −0.192760 | + | 0.162992i | ||||
\(498\) | 10.1797 | − | 5.18684i | 0.456165 | − | 0.232428i | ||||
\(499\) | 5.11447 | − | 24.0617i | 0.228955 | − | 1.07715i | −0.702046 | − | 0.712132i | \(-0.747730\pi\) |
0.931001 | − | 0.365017i | \(-0.118937\pi\) | |||||||
\(500\) | 11.0923 | + | 1.39999i | 0.496065 | + | 0.0626094i | ||||
\(501\) | −21.0437 | − | 9.36926i | −0.940163 | − | 0.418588i | ||||
\(502\) | −4.40064 | − | 6.77640i | −0.196410 | − | 0.302445i | ||||
\(503\) | 8.66732 | + | 17.0106i | 0.386457 | + | 0.758464i | 0.999501 | − | 0.0315843i | \(-0.0100553\pi\) |
−0.613044 | + | 0.790049i | \(0.710055\pi\) | |||||||
\(504\) | −1.37950 | − | 0.958176i | −0.0614479 | − | 0.0426805i | ||||
\(505\) | −9.81996 | − | 13.7153i | −0.436983 | − | 0.610321i | ||||
\(506\) | 6.15264 | + | 2.34800i | 0.273518 | + | 0.104381i | ||||
\(507\) | 2.49311 | − | 9.30441i | 0.110723 | − | 0.413223i | ||||
\(508\) | −10.9807 | + | 8.89198i | −0.487189 | + | 0.394518i | ||||
\(509\) | 5.57953 | + | 6.19669i | 0.247308 | + | 0.274664i | 0.853999 | − | 0.520274i | \(-0.174170\pi\) |
−0.606691 | + | 0.794938i | \(0.707504\pi\) | |||||||
\(510\) | 2.34929 | − | 0.355389i | 0.104028 | − | 0.0157369i | ||||
\(511\) | −3.16784 | − | 25.0167i | −0.140137 | − | 1.10667i | ||||
\(512\) | −0.156434 | + | 0.987688i | −0.00691349 | + | 0.0436501i | ||||
\(513\) | 6.16694 | + | 9.49626i | 0.272277 | + | 0.419270i | ||||
\(514\) | −0.388748 | + | 0.0826309i | −0.0171469 | + | 0.00364469i | ||||
\(515\) | 8.70567 | + | 2.39758i | 0.383617 | + | 0.105650i | ||||
\(516\) | 14.3361 | + | 8.27694i | 0.631111 | + | 0.364372i | ||||
\(517\) | −37.6187 | − | 12.1418i | −1.65447 | − | 0.533998i | ||||
\(518\) | 0.696187 | + | 2.39366i | 0.0305887 | + | 0.105171i | ||||
\(519\) | −19.1444 | + | 26.3500i | −0.840344 | + | 1.15663i | ||||
\(520\) | 5.66834 | + | 1.24604i | 0.248573 | + | 0.0546423i | ||||
\(521\) | 3.55791 | + | 3.20355i | 0.155875 | + | 0.140350i | 0.743378 | − | 0.668872i | \(-0.233222\pi\) |
−0.587503 | + | 0.809222i | \(0.699889\pi\) | |||||||
\(522\) | −3.11319 | + | 1.19504i | −0.136261 | + | 0.0523056i | ||||
\(523\) | −4.69805 | − | 3.80440i | −0.205431 | − | 0.166355i | 0.521084 | − | 0.853506i | \(-0.325528\pi\) |
−0.726515 | + | 0.687151i | \(0.758861\pi\) | |||||||
\(524\) | 0.623985 | + | 1.92043i | 0.0272589 | + | 0.0838943i | ||||
\(525\) | −16.5466 | − | 11.8369i | −0.722154 | − | 0.516606i | ||||
\(526\) | 18.4315 | + | 13.3913i | 0.803653 | + | 0.583888i | ||||
\(527\) | −1.20381 | − | 4.49270i | −0.0524390 | − | 0.195705i | ||||
\(528\) | 3.40560 | − | 3.79719i | 0.148210 | − | 0.165252i | ||||
\(529\) | −16.5042 | + | 9.52872i | −0.717575 | + | 0.414292i | ||||
\(530\) | 14.2147 | − | 24.2305i | 0.617448 | − | 1.05251i | ||||
\(531\) | −5.17463 | − | 1.68134i | −0.224560 | − | 0.0729639i | ||||
\(532\) | 0.394069 | + | 5.34462i | 0.0170850 | + | 0.231719i | ||||
\(533\) | 9.40375 | + | 1.48941i | 0.407321 | + | 0.0645134i | ||||
\(534\) | 6.99052 | − | 0.734733i | 0.302509 | − | 0.0317950i | ||||
\(535\) | −12.0967 | − | 15.1521i | −0.522987 | − | 0.655083i | ||||
\(536\) | −14.3403 | + | 3.04813i | −0.619408 | + | 0.131659i | ||||
\(537\) | −17.2659 | − | 6.62775i | −0.745078 | − | 0.286009i | ||||
\(538\) | −13.8034 | + | 13.8034i | −0.595108 | + | 0.595108i | ||||
\(539\) | −2.60976 | + | 23.0692i | −0.112410 | + | 0.993662i | ||||
\(540\) | −2.04106 | + | 12.3320i | −0.0878331 | + | 0.530683i | ||||
\(541\) | −7.19594 | + | 3.20384i | −0.309378 | + | 0.137744i | −0.555552 | − | 0.831482i | \(-0.687493\pi\) |
0.246174 | + | 0.969226i | \(0.420826\pi\) | |||||||
\(542\) | −14.4053 | − | 9.35488i | −0.618759 | − | 0.401827i | ||||
\(543\) | −17.1962 | + | 0.901217i | −0.737962 | + | 0.0386749i | ||||
\(544\) | −0.0722219 | − | 0.687145i | −0.00309649 | − | 0.0294611i | ||||
\(545\) | 8.37158 | + | 2.78450i | 0.358599 | + | 0.119275i | ||||
\(546\) | −7.99653 | − | 6.89831i | −0.342220 | − | 0.295220i | ||||
\(547\) | 13.6698 | + | 26.8285i | 0.584480 | + | 1.14711i | 0.974097 | + | 0.226129i | \(0.0726072\pi\) |
−0.389618 | + | 0.920977i | \(0.627393\pi\) | |||||||
\(548\) | −18.9524 | − | 7.27515i | −0.809607 | − | 0.310779i | ||||
\(549\) | −1.27332 | − | 2.20545i | −0.0543439 | − | 0.0941264i | ||||
\(550\) | −11.2425 | + | 12.1904i | −0.479383 | + | 0.519800i | ||||
\(551\) | 9.21442 | + | 5.31995i | 0.392548 | + | 0.226637i | ||||
\(552\) | −0.477696 | − | 3.01605i | −0.0203321 | − | 0.128372i | ||||
\(553\) | −0.525912 | − | 0.980128i | −0.0223640 | − | 0.0416793i | ||||
\(554\) | −24.1549 | + | 7.84840i | −1.02624 | + | 0.333447i | ||||
\(555\) | 2.42288 | − | 2.15130i | 0.102845 | − | 0.0913175i | ||||
\(556\) | −5.05038 | + | 11.3433i | −0.214184 | + | 0.481065i | ||||
\(557\) | 0.538068 | + | 10.2670i | 0.0227987 | + | 0.435025i | 0.986053 | + | 0.166433i | \(0.0532250\pi\) |
−0.963254 | + | 0.268592i | \(0.913442\pi\) | |||||||
\(558\) | 4.26772 | + | 0.223662i | 0.180667 | + | 0.00946836i | ||||
\(559\) | −22.6019 | − | 16.4213i | −0.955959 | − | 0.694545i | ||||
\(560\) | −3.65700 | + | 4.65041i | −0.154537 | + | 0.196516i | ||||
\(561\) | −1.59382 | + | 3.14321i | −0.0672910 | + | 0.132706i | ||||
\(562\) | −0.818365 | − | 3.05418i | −0.0345207 | − | 0.128833i | ||||
\(563\) | −22.1955 | − | 27.4091i | −0.935427 | − | 1.15516i | −0.987674 | − | 0.156522i | \(-0.949972\pi\) |
0.0522473 | − | 0.998634i | \(-0.483362\pi\) | |||||||
\(564\) | 3.81097 | + | 17.9292i | 0.160471 | + | 0.754956i | ||||
\(565\) | 13.1257 | + | 5.14334i | 0.552204 | + | 0.216382i | ||||
\(566\) | −0.874904 | − | 1.20420i | −0.0367750 | − | 0.0506164i | ||||
\(567\) | 10.8484 | − | 13.9942i | 0.455589 | − | 0.587700i | ||||
\(568\) | 0.965659 | − | 1.89521i | 0.0405181 | − | 0.0795213i | ||||
\(569\) | −1.51102 | + | 1.36053i | −0.0633452 | + | 0.0570362i | −0.700195 | − | 0.713951i | \(-0.746904\pi\) |
0.636850 | + | 0.770988i | \(0.280237\pi\) | |||||||
\(570\) | 6.05646 | − | 3.44085i | 0.253677 | − | 0.144122i | ||||
\(571\) | 14.9684 | + | 25.9260i | 0.626408 | + | 1.08497i | 0.988267 | + | 0.152737i | \(0.0488089\pi\) |
−0.361859 | + | 0.932233i | \(0.617858\pi\) | |||||||
\(572\) | −6.38591 | + | 5.77253i | −0.267008 | + | 0.241362i | ||||
\(573\) | −20.7097 | + | 20.7097i | −0.865159 | + | 0.865159i | ||||
\(574\) | −5.53663 | + | 7.97118i | −0.231095 | + | 0.332711i | ||||
\(575\) | 1.41677 | + | 9.82632i | 0.0590832 | + | 0.409786i | ||||
\(576\) | 0.620964 | + | 0.131990i | 0.0258735 | + | 0.00549958i | ||||
\(577\) | 0.631224 | + | 1.64440i | 0.0262782 | + | 0.0684571i | 0.946092 | − | 0.323898i | \(-0.104994\pi\) |
−0.919814 | + | 0.392356i | \(0.871660\pi\) | |||||||
\(578\) | −5.92118 | − | 15.4252i | −0.246288 | − | 0.641603i | ||||
\(579\) | 19.4920 | + | 4.14316i | 0.810061 | + | 0.172184i | ||||
\(580\) | 3.55196 | + | 11.1957i | 0.147487 | + | 0.464876i | ||||
\(581\) | 1.63892 | − | 19.5866i | 0.0679938 | − | 0.812589i | ||||
\(582\) | 7.82381 | − | 7.82381i | 0.324308 | − | 0.324308i | ||||
\(583\) | 17.0221 | + | 38.0321i | 0.704983 | + | 1.57513i | ||||
\(584\) | 4.76546 | + | 8.25403i | 0.197196 | + | 0.341554i | ||||
\(585\) | 0.978276 | − | 3.55214i | 0.0404467 | − | 0.146863i | ||||
\(586\) | −9.83350 | + | 8.85412i | −0.406218 | + | 0.365760i | ||||
\(587\) | −18.8548 | + | 37.0047i | −0.778222 | + | 1.52735i | 0.0699053 | + | 0.997554i | \(0.477730\pi\) |
−0.848127 | + | 0.529793i | \(0.822270\pi\) | |||||||
\(588\) | 9.87744 | − | 4.28126i | 0.407339 | − | 0.176556i | ||||
\(589\) | −8.01482 | − | 11.0314i | −0.330245 | − | 0.454543i | ||||
\(590\) | −6.99196 | + | 17.8434i | −0.287855 | + | 0.734601i | ||||
\(591\) | 3.44590 | + | 16.2117i | 0.141745 | + | 0.666859i | ||||
\(592\) | −0.592950 | − | 0.732232i | −0.0243701 | − | 0.0300946i | ||||
\(593\) | 3.52585 | + | 13.1586i | 0.144789 | + | 0.540361i | 0.999765 | + | 0.0216922i | \(0.00690540\pi\) |
−0.854976 | + | 0.518668i | \(0.826428\pi\) | |||||||
\(594\) | −13.1354 | − | 13.0842i | −0.538952 | − | 0.536851i | ||||
\(595\) | 1.60902 | − | 3.75759i | 0.0659636 | − | 0.154046i | ||||
\(596\) | 13.0632 | + | 9.49100i | 0.535091 | + | 0.388766i | ||||
\(597\) | −26.2146 | − | 1.37385i | −1.07289 | − | 0.0562279i | ||||
\(598\) | 0.269716 | + | 5.14649i | 0.0110295 | + | 0.210456i | ||||
\(599\) | 2.74640 | − | 6.16851i | 0.112215 | − | 0.252038i | −0.848704 | − | 0.528867i | \(-0.822617\pi\) |
0.960919 | + | 0.276829i | \(0.0892835\pi\) | |||||||
\(600\) | 7.49858 | + | 1.70303i | 0.306128 | + | 0.0695259i | ||||
\(601\) | −23.9333 | + | 7.77641i | −0.976260 | + | 0.317206i | −0.753341 | − | 0.657631i | \(-0.771559\pi\) |
−0.222920 | + | 0.974837i | \(0.571559\pi\) | |||||||
\(602\) | 25.0943 | − | 13.4650i | 1.02277 | − | 0.548791i | ||||
\(603\) | 1.45596 | + | 9.19257i | 0.0592913 | + | 0.374351i | ||||
\(604\) | −13.5878 | − | 7.84491i | −0.552879 | − | 0.319205i | ||||
\(605\) | −5.04090 | − | 24.0747i | −0.204942 | − | 0.978774i | ||||
\(606\) | −5.80079 | − | 10.0473i | −0.235641 | − | 0.408142i | ||||
\(607\) | −31.6453 | − | 12.1475i | −1.28444 | − | 0.493052i | −0.382121 | − | 0.924112i | \(-0.624806\pi\) |
−0.902323 | + | 0.431061i | \(0.858139\pi\) | |||||||
\(608\) | −0.919586 | − | 1.80479i | −0.0372941 | − | 0.0731938i | ||||
\(609\) | 3.99877 | − | 20.9959i | 0.162038 | − | 0.850797i | ||||
\(610\) | −8.02036 | + | 4.01668i | −0.324735 | + | 0.162631i | ||||
\(611\) | −3.23355 | − | 30.7652i | −0.130815 | − | 1.24462i | ||||
\(612\) | −0.438027 | + | 0.0229560i | −0.0177062 | + | 0.000927942i | ||||
\(613\) | 9.74674 | + | 6.32961i | 0.393667 | + | 0.255650i | 0.726260 | − | 0.687420i | \(-0.241257\pi\) |
−0.332593 | + | 0.943070i | \(0.607924\pi\) | |||||||
\(614\) | 8.64151 | − | 3.84745i | 0.348743 | − | 0.155270i | ||||
\(615\) | 12.4454 | + | 2.05984i | 0.501848 | + | 0.0830606i | ||||
\(616\) | −2.46708 | − | 8.42102i | −0.0994014 | − | 0.339292i | ||||
\(617\) | −27.3925 | + | 27.3925i | −1.10278 | + | 1.10278i | −0.108707 | + | 0.994074i | \(0.534671\pi\) |
−0.994074 | + | 0.108707i | \(0.965329\pi\) | |||||||
\(618\) | 5.79795 | + | 2.22563i | 0.233228 | + | 0.0895278i | ||||
\(619\) | −18.2648 | + | 3.88231i | −0.734126 | + | 0.156043i | −0.559780 | − | 0.828641i | \(-0.689114\pi\) |
−0.174346 | + | 0.984685i | \(0.555781\pi\) | |||||||
\(620\) | 1.67733 | − | 14.9590i | 0.0673633 | − | 0.600766i | ||||
\(621\) | −11.0387 | + | 1.16022i | −0.442968 | + | 0.0465579i | ||||
\(622\) | −2.52706 | − | 0.400247i | −0.101326 | − | 0.0160485i | ||||
\(623\) | 5.25979 | − | 10.8886i | 0.210729 | − | 0.436242i | ||||
\(624\) | 3.79625 | + | 1.23348i | 0.151972 | + | 0.0493786i | ||||
\(625\) | −24.2999 | − | 5.87482i | −0.971997 | − | 0.234993i | ||||
\(626\) | −7.05851 | + | 4.07523i | −0.282115 | + | 0.162879i | ||||
\(627\) | −1.05988 | + | 10.2772i | −0.0423275 | + | 0.410432i | ||||
\(628\) | 2.22709 | + | 8.31161i | 0.0888706 | + | 0.331669i | ||||
\(629\) | 0.526669 | + | 0.382648i | 0.0209997 | + | 0.0152572i | ||||
\(630\) | 2.82670 | + | 2.47293i | 0.112619 | + | 0.0985238i | ||||
\(631\) | −10.7103 | − | 32.9631i | −0.426372 | − | 1.31224i | −0.901674 | − | 0.432416i | \(-0.857661\pi\) |
0.475302 | − | 0.879823i | \(-0.342339\pi\) | |||||||
\(632\) | 0.326723 | + | 0.264575i | 0.0129963 | + | 0.0105242i | ||||
\(633\) | 16.0156 | − | 6.14780i | 0.636562 | − | 0.244353i | ||||
\(634\) | 5.33641 | + | 4.80493i | 0.211936 | + | 0.190828i | ||||
\(635\) | 26.6162 | − | 17.0232i | 1.05623 | − | 0.675546i | ||||
\(636\) | 11.3567 | − | 15.6311i | 0.450322 | − | 0.619815i | ||||
\(637\) | −17.3338 | + | 5.44331i | −0.686790 | + | 0.215672i | ||||
\(638\) | −16.5794 | − | 5.35119i | −0.656386 | − | 0.211856i | ||||
\(639\) | −1.16942 | − | 0.675164i | −0.0462615 | − | 0.0267091i | ||||
\(640\) | 0.593719 | − | 2.15581i | 0.0234688 | − | 0.0852157i | ||||
\(641\) | 12.7531 | − | 2.71075i | 0.503716 | − | 0.107068i | 0.0509565 | − | 0.998701i | \(-0.483773\pi\) |
0.452759 | + | 0.891633i | \(0.350440\pi\) | |||||||
\(642\) | −7.26273 | − | 11.1836i | −0.286637 | − | 0.441383i | ||||
\(643\) | 0.959485 | − | 6.05795i | 0.0378384 | − | 0.238902i | −0.961519 | − | 0.274737i | \(-0.911409\pi\) |
0.999358 | + | 0.0358351i | \(0.0114091\pi\) | |||||||
\(644\) | −4.84348 | − | 2.03433i | −0.190860 | − | 0.0801640i | ||||
\(645\) | −29.7945 | − | 21.9646i | −1.17316 | − | 0.864856i | ||||
\(646\) | 0.936463 | + | 1.04005i | 0.0368446 | + | 0.0409201i | ||||
\(647\) | −26.7777 | + | 21.6842i | −1.05274 | + | 0.852492i | −0.989359 | − | 0.145497i | \(-0.953522\pi\) |
−0.0633812 | + | 0.997989i | \(0.520188\pi\) | |||||||
\(648\) | −1.73214 | + | 6.46443i | −0.0680448 | + | 0.253947i | ||||
\(649\) | −15.5281 | − | 23.8093i | −0.609533 | − | 0.934596i | ||||
\(650\) | −12.2854 | − | 4.18123i | −0.481873 | − | 0.164001i | ||||
\(651\) | −15.6258 | + | 22.4968i | −0.612424 | + | 0.881718i | ||||
\(652\) | 1.85399 | + | 3.63867i | 0.0726080 | + | 0.142501i | ||||
\(653\) | −15.3078 | − | 23.5720i | −0.599042 | − | 0.922444i | −0.999980 | − | 0.00633886i | \(-0.997982\pi\) |
0.400938 | − | 0.916105i | \(-0.368684\pi\) | |||||||
\(654\) | 5.54330 | + | 2.46803i | 0.216760 | + | 0.0965078i | ||||
\(655\) | −0.908076 | − | 4.42294i | −0.0354815 | − | 0.172819i | ||||
\(656\) | 0.762679 | − | 3.58812i | 0.0297776 | − | 0.140093i | ||||
\(657\) | 5.39111 | − | 2.74691i | 0.210327 | − | 0.107167i | ||||
\(658\) | 29.6726 | + | 10.6729i | 1.15676 | + | 0.416074i | ||||
\(659\) | 3.28935i | 0.128135i | 0.997946 | + | 0.0640675i | \(0.0204073\pi\) | ||||
−0.997946 | + | 0.0640675i | \(0.979593\pi\) | |||||||
\(660\) | −8.51386 | + | 7.58934i | −0.331402 | + | 0.295415i | ||||
\(661\) | 13.2691 | − | 7.66090i | 0.516107 | − | 0.297974i | −0.219233 | − | 0.975672i | \(-0.570356\pi\) |
0.735340 | + | 0.677698i | \(0.237022\pi\) | |||||||
\(662\) | −3.97264 | − | 4.90580i | −0.154401 | − | 0.190670i | ||||
\(663\) | −2.75415 | − | 0.144339i | −0.106962 | − | 0.00560566i | ||||
\(664\) | 2.29566 | + | 7.06532i | 0.0890889 | + | 0.274187i | ||||
\(665\) | 0.456026 | − | 11.9747i | 0.0176839 | − | 0.464359i | ||||
\(666\) | −0.483912 | + | 0.351582i | −0.0187512 | + | 0.0136235i | ||||
\(667\) | −8.74726 | + | 5.68054i | −0.338695 | + | 0.219951i | ||||
\(668\) | 8.15775 | − | 12.5618i | 0.315633 | − | 0.486032i | ||||
\(669\) | 40.3735 | + | 4.24343i | 1.56093 | + | 0.164060i | ||||
\(670\) | 32.6258 | − | 3.20025i | 1.26044 | − | 0.123636i | ||||
\(671\) | 2.05562 | − | 13.1448i | 0.0793562 | − | 0.507450i | ||||
\(672\) | −2.81541 | + | 2.93762i | −0.108607 | + | 0.113321i | ||||
\(673\) | 0.0367746 | + | 0.232186i | 0.00141756 | + | 0.00895011i | 0.988387 | − | 0.151958i | \(-0.0485578\pi\) |
−0.986969 | + | 0.160908i | \(0.948558\pi\) | |||||||
\(674\) | 17.6862 | − | 15.9247i | 0.681247 | − | 0.613397i | ||||
\(675\) | 7.60823 | − | 26.8948i | 0.292841 | − | 1.03518i | ||||
\(676\) | 5.72196 | + | 2.54758i | 0.220075 | + | 0.0979838i | ||||
\(677\) | 18.7629 | − | 23.1702i | 0.721116 | − | 0.890504i | −0.276393 | − | 0.961045i | \(-0.589139\pi\) |
0.997509 | + | 0.0705408i | \(0.0224725\pi\) | |||||||
\(678\) | 8.63908 | + | 4.40183i | 0.331782 | + | 0.169051i | ||||
\(679\) | −4.35211 | − | 18.5308i | −0.167019 | − | 0.711145i | ||||
\(680\) | −0.0107264 | + | 1.54493i | −0.000411341 | + | 0.0592453i | ||||
\(681\) | −20.0439 | + | 34.7170i | −0.768083 | + | 1.33036i | ||||
\(682\) | 16.6212 | + | 14.9071i | 0.636458 | + | 0.570821i | ||||
\(683\) | 12.2893 | − | 45.8642i | 0.470237 | − | 1.75495i | −0.168680 | − | 0.985671i | \(-0.553951\pi\) |
0.638917 | − | 0.769276i | \(-0.279383\pi\) | |||||||
\(684\) | −1.17473 | + | 0.523023i | −0.0449169 | + | 0.0199983i | ||||
\(685\) | 40.3022 | + | 20.8887i | 1.53987 | + | 0.798117i | ||||
\(686\) | 2.68929 | − | 18.3240i | 0.102678 | − | 0.699612i | ||||
\(687\) | −0.875747 | + | 5.52925i | −0.0334118 | + | 0.210954i | ||||
\(688\) | −6.77393 | + | 8.36511i | −0.258254 | + | 0.318917i | ||||
\(689\) | −21.8188 | + | 24.2323i | −0.831232 | + | 0.923176i | ||||
\(690\) | 0.310008 | + | 6.82113i | 0.0118018 | + | 0.259676i | ||||
\(691\) | 2.75521 | + | 6.18831i | 0.104813 | + | 0.235414i | 0.958337 | − | 0.285639i | \(-0.0922059\pi\) |
−0.853524 | + | 0.521053i | \(0.825539\pi\) | |||||||
\(692\) | −14.9753 | − | 14.9753i | −0.569277 | − | 0.569277i | ||||
\(693\) | −5.42061 | + | 1.28426i | −0.205912 | + | 0.0487850i | ||||
\(694\) | − | 33.8346i | − | 1.28434i | ||||||
\(695\) | 14.0490 | − | 23.9481i | 0.532910 | − | 0.908404i | ||||
\(696\) | 1.67958 | + | 7.90182i | 0.0636644 | + | 0.299518i | ||||
\(697\) | 0.132647 | + | 2.53105i | 0.00502436 | + | 0.0958704i | ||||
\(698\) | 5.41717 | + | 4.38674i | 0.205043 | + | 0.166041i | ||||
\(699\) | −14.4949 | + | 10.5312i | −0.548249 | + | 0.398326i | ||||
\(700\) | 9.28511 | − | 9.42267i | 0.350944 | − | 0.356143i | ||||
\(701\) | 2.63482 | − | 8.10914i | 0.0995158 | − | 0.306278i | −0.888888 | − | 0.458124i | \(-0.848522\pi\) |
0.988404 | + | 0.151846i | \(0.0485217\pi\) | |||||||
\(702\) | 5.19952 | − | 13.5452i | 0.196243 | − | 0.511231i | ||||
\(703\) | 1.84347 | + | 0.493956i | 0.0695277 | + | 0.0186299i | ||||
\(704\) | 2.09225 | + | 2.57342i | 0.0788547 | + | 0.0969894i | ||||
\(705\) | −4.00116 | − | 40.7908i | −0.150692 | − | 1.53627i | ||||
\(706\) | −17.8506 | + | 24.5692i | −0.671815 | + | 0.924674i | ||||
\(707\) | −19.9492 | − | 0.621043i | −0.750267 | − | 0.0233567i | ||||
\(708\) | −5.98395 | + | 11.7442i | −0.224891 | + | 0.441373i | ||||
\(709\) | 47.4839 | − | 4.99076i | 1.78330 | − | 0.187432i | 0.845350 | − | 0.534213i | \(-0.179392\pi\) |
0.937946 | + | 0.346781i | \(0.112725\pi\) | |||||||
\(710\) | −2.61805 | + | 3.97082i | −0.0982538 | + | 0.149022i | ||||
\(711\) | 0.178587 | − | 0.198341i | 0.00669754 | − | 0.00743837i | ||||
\(712\) | −0.239202 | + | 4.56425i | −0.00896448 | + | 0.171052i | ||||
\(713\) | 13.2019 | − | 2.09098i | 0.494417 | − | 0.0783079i | ||||
\(714\) | 1.35365 | − | 2.46400i | 0.0506590 | − | 0.0922128i | ||||
\(715\) | 15.6287 | − | 11.2362i | 0.584481 | − | 0.420211i | ||||
\(716\) | 6.01280 | − | 10.4145i | 0.224709 | − | 0.389207i | ||||
\(717\) | 7.12120 | − | 5.76664i | 0.265946 | − | 0.215359i | ||||
\(718\) | 25.8748 | + | 16.8033i | 0.965640 | + | 0.627094i | ||||
\(719\) | −26.2224 | − | 5.57375i | −0.977932 | − | 0.207866i | −0.308896 | − | 0.951096i | \(-0.599960\pi\) |
−0.669036 | + | 0.743230i | \(0.733293\pi\) | |||||||
\(720\) | −1.34698 | − | 0.448024i | −0.0501991 | − | 0.0166969i | ||||
\(721\) | 8.50837 | − | 6.46216i | 0.316868 | − | 0.240663i | ||||
\(722\) | −13.2734 | − | 6.76314i | −0.493985 | − | 0.251698i | ||||
\(723\) | 0.950786 | − | 18.1421i | 0.0353601 | − | 0.674711i | ||||
\(724\) | 1.17040 | − | 11.1356i | 0.0434975 | − | 0.413851i | ||||
\(725\) | −5.10336 | − | 25.7635i | −0.189534 | − | 0.956832i | ||||
\(726\) | −1.83404 | − | 16.8173i | −0.0680675 | − | 0.624148i | ||||
\(727\) | −16.8467 | − | 16.8467i | −0.624810 | − | 0.624810i | 0.321948 | − | 0.946758i | \(-0.395663\pi\) |
−0.946758 | + | 0.321948i | \(0.895663\pi\) | |||||||
\(728\) | 5.24368 | − | 4.43391i | 0.194344 | − | 0.164332i | ||||
\(729\) | 28.5693 | + | 9.28274i | 1.05812 | + | 0.343805i | ||||
\(730\) | −8.53291 | − | 19.5290i | −0.315817 | − | 0.722801i | ||||
\(731\) | 3.02494 | − | 6.79412i | 0.111881 | − | 0.251290i | ||||
\(732\) | −5.75953 | + | 2.21088i | −0.212878 | + | 0.0817163i | ||||
\(733\) | −18.3840 | + | 11.9387i | −0.679028 | + | 0.440966i | −0.837529 | − | 0.546393i | \(-0.816001\pi\) |
0.158501 | + | 0.987359i | \(0.449334\pi\) | |||||||
\(734\) | 10.7343 | − | 33.0368i | 0.396210 | − | 1.21941i | ||||
\(735\) | −23.0158 | + | 7.05245i | −0.848951 | + | 0.260133i | ||||
\(736\) | 1.98559 | 0.0731897 | ||||||||
\(737\) | −24.2297 | + | 42.1571i | −0.892513 | + | 1.55288i | ||||
\(738\) | −2.24941 | − | 0.602728i | −0.0828019 | − | 0.0221867i | ||||
\(739\) | 30.5977 | + | 3.21595i | 1.12555 | + | 0.118301i | 0.648960 | − | 0.760823i | \(-0.275204\pi\) |
0.476595 | + | 0.879123i | \(0.341871\pi\) | |||||||
\(740\) | 1.13517 | + | 1.77487i | 0.0417297 | + | 0.0652454i | ||||
\(741\) | −7.68955 | + | 2.49849i | −0.282483 | + | 0.0917841i | ||||
\(742\) | −12.5682 | − | 30.7716i | −0.461394 | − | 1.12966i | ||||
\(743\) | −3.78982 | − | 0.600248i | −0.139035 | − | 0.0220210i | 0.0865291 | − | 0.996249i | \(-0.472422\pi\) |
−0.225564 | + | 0.974228i | \(0.572422\pi\) | |||||||
\(744\) | 2.15248 | − | 10.1266i | 0.0789137 | − | 0.371260i | ||||
\(745\) | −26.6635 | − | 24.3453i | −0.976876 | − | 0.891941i | ||||
\(746\) | −1.24802 | + | 11.8741i | −0.0456931 | + | 0.434741i | ||||
\(747\) | 4.55545 | − | 1.22063i | 0.166675 | − | 0.0446605i | ||||
\(748\) | −1.85654 | − | 1.34332i | −0.0678817 | − | 0.0491166i | ||||
\(749\) | −22.9357 | + | 0.487198i | −0.838052 | + | 0.0178018i | ||||
\(750\) | −16.2386 | − | 5.65277i | −0.592949 | − | 0.206410i | ||||
\(751\) | −10.7064 | − | 11.8906i | −0.390681 | − | 0.433895i | 0.515433 | − | 0.856930i | \(-0.327631\pi\) |
−0.906113 | + | 0.423035i | \(0.860965\pi\) | |||||||
\(752\) | −11.9023 | + | 0.623773i | −0.434032 | + | 0.0227467i | ||||
\(753\) | 4.45315 | + | 11.6008i | 0.162282 | + | 0.422758i | ||||
\(754\) | −1.42510 | − | 13.5589i | −0.0518990 | − | 0.493786i | ||||
\(755\) | 28.2393 | + | 20.8181i | 1.02773 | + | 0.757649i | ||||
\(756\) | 10.1275 | + | 10.7784i | 0.368335 | + | 0.392006i | ||||
\(757\) | −31.2067 | + | 4.94266i | −1.13423 | + | 0.179644i | −0.695191 | − | 0.718826i | \(-0.744680\pi\) |
−0.439036 | + | 0.898469i | \(0.644680\pi\) | |||||||
\(758\) | −6.92073 | + | 1.85440i | −0.251372 | + | 0.0673550i | ||||
\(759\) | −8.50466 | − | 5.49939i | −0.308700 | − | 0.199615i | ||||
\(760\) | 1.59376 | + | 4.23963i | 0.0578116 | + | 0.153787i | ||||
\(761\) | 18.7634 | + | 42.1434i | 0.680174 | + | 1.52770i | 0.841187 | + | 0.540744i | \(0.181857\pi\) |
−0.161013 | + | 0.986952i | \(0.551476\pi\) | |||||||
\(762\) | 19.3615 | − | 9.86516i | 0.701392 | − | 0.357377i | ||||
\(763\) | 8.63212 | − | 5.87010i | 0.312504 | − | 0.212512i | ||||
\(764\) | −11.1938 | − | 15.4069i | −0.404976 | − | 0.557402i | ||||
\(765\) | 0.979078 | + | 0.0581302i | 0.0353986 | + | 0.00210170i | ||||
\(766\) | 1.44144 | + | 1.29788i | 0.0520813 | + | 0.0468942i | ||||
\(767\) | 12.1154 | − | 18.6561i | 0.437462 | − | 0.673632i | ||||
\(768\) | 0.551137 | − | 1.43576i | 0.0198874 | − | 0.0518086i | ||||
\(769\) | 7.59178 | 0.273766 | 0.136883 | − | 0.990587i | \(-0.456291\pi\) | ||||
0.136883 | + | 0.990587i | \(0.456291\pi\) | |||||||
\(770\) | 3.38396 | + | 19.3274i | 0.121950 | + | 0.696512i | ||||
\(771\) | 0.611215 | 0.0220124 | ||||||||
\(772\) | −4.64356 | + | 12.0969i | −0.167125 | + | 0.435377i | ||||
\(773\) | 28.0461 | − | 43.1871i | 1.00875 | − | 1.55333i | 0.187897 | − | 0.982189i | \(-0.439833\pi\) |
0.820850 | − | 0.571144i | \(-0.193500\pi\) | |||||||
\(774\) | 5.07814 | + | 4.57238i | 0.182530 | + | 0.164351i | ||||
\(775\) | −7.45455 | + | 32.8230i | −0.267775 | + | 1.17904i | ||||
\(776\) | 4.22884 | + | 5.82051i | 0.151807 | + | 0.208944i | ||||
\(777\) | −0.281905 | − | 3.82339i | −0.0101133 | − | 0.137163i | ||||
\(778\) | 7.67930 | − | 3.91280i | 0.275316 | − | 0.140281i | ||||
\(779\) | 3.02219 | + | 6.78794i | 0.108281 | + | 0.243203i | ||||
\(780\) | −8.12847 | − | 3.68686i | −0.291046 | − | 0.132011i | ||||
\(781\) | −2.54101 | − | 6.58110i | −0.0909245 | − | 0.235490i | ||||
\(782\) | −1.32515 | + | 0.355074i | −0.0473874 | + | 0.0126974i | ||||
\(783\) | 29.0020 | − | 4.59346i | 1.03645 | − | 0.164157i | ||||
\(784\) | 1.74483 | + | 6.77905i | 0.0623152 | + | 0.242109i | ||||
\(785\) | −2.87793 | − | 19.0245i | −0.102718 | − | 0.679014i | ||||
\(786\) | −0.324606 | − | 3.08842i | −0.0115783 | − | 0.110160i | ||||
\(787\) | 19.6853 | + | 51.2820i | 0.701705 | + | 1.82801i | 0.541041 | + | 0.840996i | \(0.318030\pi\) |
0.160664 | + | 0.987009i | \(0.448636\pi\) | |||||||
\(788\) | −10.7621 | + | 0.564018i | −0.383384 | + | 0.0200923i | ||||
\(789\) | −23.4447 | − | 26.0380i | −0.834655 | − | 0.926978i | ||||
\(790\) | −0.660101 | − | 0.669332i | −0.0234853 | − | 0.0238137i | ||||
\(791\) | 14.2652 | − | 8.64508i | 0.507213 | − | 0.307384i | ||||
\(792\) | 1.70098 | − | 1.24092i | 0.0604416 | − | 0.0440941i | ||||
\(793\) | 10.0570 | − | 2.69476i | 0.357133 | − | 0.0956936i | ||||
\(794\) | −0.316493 | + | 3.01123i | −0.0112319 | + | 0.106865i | ||||
\(795\) | −29.1309 | + | 31.9049i | −1.03317 | + | 1.13155i | ||||
\(796\) | 3.54885 | − | 16.6960i | 0.125786 | − | 0.591775i | ||||
\(797\) | −17.0170 | − | 2.69522i | −0.602772 | − | 0.0954697i | −0.152413 | − | 0.988317i | \(-0.548704\pi\) |
−0.450360 | + | 0.892847i | \(0.648704\pi\) | |||||||
\(798\) | 1.11614 | − | 8.16593i | 0.0395110 | − | 0.289071i | ||||
\(799\) | 7.83189 | − | 2.54474i | 0.277072 | − | 0.0900263i | ||||
\(800\) | −1.85648 | + | 4.64257i | −0.0656366 | + | 0.164140i | ||||
\(801\) | 2.88563 | + | 0.303292i | 0.101959 | + | 0.0107163i | ||||
\(802\) | −21.3495 | − | 5.72059i | −0.753878 | − | 0.202001i | ||||
\(803\) | 30.9325 | + | 6.51177i | 1.09159 | + | 0.229795i | ||||
\(804\) | 22.5468 | 0.795166 | ||||||||
\(805\) | 10.2560 | + | 5.72741i | 0.361477 | + | 0.201865i | ||||
\(806\) | −5.39921 | + | 16.6171i | −0.190179 | + | 0.585311i | ||||
\(807\) | 25.1782 | − | 16.3509i | 0.886313 | − | 0.575578i | ||||
\(808\) | 7.04269 | − | 2.70344i | 0.247761 | − | 0.0951065i | ||||
\(809\) | −1.67023 | + | 3.75140i | −0.0587222 | + | 0.131892i | −0.940523 | − | 0.339729i | \(-0.889665\pi\) |
0.881801 | + | 0.471622i | \(0.156331\pi\) | |||||||
\(810\) | 5.45978 | − | 13.9333i | 0.191837 | − | 0.489566i | ||||
\(811\) | 2.44461 | + | 0.794301i | 0.0858418 | + | 0.0278917i | 0.351623 | − | 0.936142i | \(-0.385630\pi\) |
−0.265781 | + | 0.964033i | \(0.585630\pi\) | |||||||
\(812\) | 13.0774 | + | 4.70380i | 0.458927 | + | 0.165071i | ||||
\(813\) | 18.6786 | + | 18.6786i | 0.655088 | + | 0.655088i | ||||
\(814\) | −3.12098 | − | 0.157449i | −0.109390 | − | 0.00551860i | ||||
\(815\) | −3.21320 | − | 8.54759i | −0.112554 | − | 0.299409i | ||||
\(816\) | −0.111071 | + | 1.05677i | −0.00388825 | + | 0.0369942i | ||||
\(817\) | 1.14108 | − | 21.7730i | 0.0399212 | − | 0.761742i | ||||
\(818\) | −28.6076 | − | 14.5763i | −1.00024 | − | 0.509648i | ||||
\(819\) | −2.63673 | − | 3.47164i | −0.0921348 | − | 0.121309i | ||||
\(820\) | −2.58882 | + | 7.78328i | −0.0904055 | + | 0.271804i | ||||
\(821\) | −0.907969 | − | 0.192995i | −0.0316884 | − | 0.00673557i | 0.192040 | − | 0.981387i | \(-0.438490\pi\) |
−0.223729 | + | 0.974651i | \(0.571823\pi\) | |||||||
\(822\) | 26.1839 | + | 17.0040i | 0.913269 | + | 0.593084i | ||||
\(823\) | −8.32271 | + | 6.73960i | −0.290111 | + | 0.234928i | −0.763317 | − | 0.646025i | \(-0.776430\pi\) |
0.473205 | + | 0.880952i | \(0.343097\pi\) | |||||||
\(824\) | −2.01912 | + | 3.49722i | −0.0703394 | + | 0.121831i | ||||
\(825\) | 20.8100 | − | 14.7432i | 0.724512 | − | 0.513293i | ||||
\(826\) | 11.7523 | + | 19.3925i | 0.408915 | + | 0.674750i | ||||
\(827\) | 24.5006 | − | 3.88051i | 0.851969 | − | 0.134939i | 0.284848 | − | 0.958573i | \(-0.408057\pi\) |
0.567122 | + | 0.823634i | \(0.308057\pi\) | |||||||
\(828\) | 0.0659707 | − | 1.25880i | 0.00229264 | − | 0.0437462i | ||||
\(829\) | −16.8035 | + | 18.6622i | −0.583610 | + | 0.648164i | −0.960561 | − | 0.278069i | \(-0.910306\pi\) |
0.376951 | + | 0.926233i | \(0.376972\pi\) | |||||||
\(830\) | −3.34084 | − | 16.2721i | −0.115962 | − | 0.564814i | ||||
\(831\) | 38.8458 | − | 4.08285i | 1.34754 | − | 0.141633i | ||||
\(832\) | −1.17833 | + | 2.31259i | −0.0408511 | + | 0.0801747i | ||||
\(833\) | −2.37674 | − | 4.21223i | −0.0823493 | − | 0.145945i | ||||
\(834\) | 11.2243 | − | 15.4489i | 0.388666 | − | 0.534953i | ||||
\(835\) | −21.2577 | + | 25.8815i | −0.735652 | + | 0.895667i | ||||
\(836\) | −6.49250 | − | 1.72607i | −0.224548 | − | 0.0596974i | ||||
\(837\) | −36.3487 | − | 9.73960i | −1.25639 | − | 0.336650i | ||||
\(838\) | −6.94385 | + | 18.0893i | −0.239871 | + | 0.624886i | ||||
\(839\) | 11.3757 | − | 35.0107i | 0.392732 | − | 1.20870i | −0.537982 | − | 0.842956i | \(-0.680813\pi\) |
0.930714 | − | 0.365748i | \(-0.119187\pi\) | |||||||
\(840\) | 6.98820 | − | 5.82630i | 0.241116 | − | 0.201026i | ||||
\(841\) | −1.13906 | + | 0.827576i | −0.0392779 | + | 0.0285371i | ||||
\(842\) | 26.1304 | + | 21.1600i | 0.900514 | + | 0.729222i | ||||
\(843\) | 0.254496 | + | 4.85608i | 0.00876532 | + | 0.167252i | ||||
\(844\) | 2.31920 | + | 10.9110i | 0.0798303 | + | 0.375572i | ||||
\(845\) | −12.0802 | − | 7.08681i | −0.415573 | − | 0.243794i | ||||
\(846\) | 7.56639i | 0.260138i | ||||||||
\(847\) | −26.2552 | − | 12.5564i | −0.902140 | − | 0.431444i | ||||
\(848\) | 8.88357 | + | 8.88357i | 0.305063 | + | 0.305063i | ||||
\(849\) | 0.931077 | + | 2.09123i | 0.0319545 | + | 0.0717709i | ||||
\(850\) | 0.408781 | − | 3.43038i | 0.0140211 | − | 0.117661i | ||||
\(851\) | −1.25183 | + | 1.39030i | −0.0429122 | + | 0.0476589i | ||||
\(852\) | −2.05863 | + | 2.54220i | −0.0705276 | + | 0.0870944i | ||||
\(853\) | 4.07890 | − | 25.7531i | 0.139659 | − | 0.881771i | −0.813997 | − | 0.580870i | \(-0.802713\pi\) |
0.953655 | − | 0.300901i | \(-0.0972875\pi\) | |||||||
\(854\) | −1.98568 | + | 10.4260i | −0.0679484 | + | 0.356769i | ||||
\(855\) | 2.74074 | − | 0.869529i | 0.0937312 | − | 0.0297372i | ||||
\(856\) | 7.92120 | − | 3.52675i | 0.270741 | − | 0.120542i | ||||
\(857\) | −4.06957 | + | 15.1878i | −0.139014 | + | 0.518807i | 0.860935 | + | 0.508715i | \(0.169879\pi\) |
−0.999949 | + | 0.0100922i | \(0.996788\pi\) | |||||||
\(858\) | 11.4521 | − | 6.64174i | 0.390968 | − | 0.226745i | ||||
\(859\) | 16.7177 | − | 28.9559i | 0.570401 | − | 0.987964i | −0.426123 | − | 0.904665i | \(-0.640121\pi\) |
0.996525 | − | 0.0832989i | \(-0.0265456\pi\) | |||||||
\(860\) | 17.1370 | − | 16.9006i | 0.584365 | − | 0.576307i | ||||
\(861\) | 10.8775 | − | 10.2207i | 0.370706 | − | 0.348321i | ||||
\(862\) | −20.4995 | − | 10.4450i | −0.698216 | − | 0.355759i | ||||
\(863\) | 6.02335 | − | 7.43821i | 0.205037 | − | 0.253200i | −0.664246 | − | 0.747514i | \(-0.731247\pi\) |
0.869283 | + | 0.494314i | \(0.164581\pi\) | |||||||
\(864\) | −5.10676 | − | 2.27368i | −0.173736 | − | 0.0773521i | ||||
\(865\) | 29.5460 | + | 37.0087i | 1.00459 | + | 1.25833i | ||||
\(866\) | 14.9204 | − | 13.4344i | 0.507017 | − | 0.456521i | ||||
\(867\) | 3.97504 | + | 25.0974i | 0.135000 | + | 0.852353i | ||||
\(868\) | −12.8586 | − | 12.3237i | −0.436450 | − | 0.418293i | ||||
\(869\) | 1.37676 | − | 0.220815i | 0.0467033 | − | 0.00749065i | ||||
\(870\) | −1.76340 | − | 17.9775i | −0.0597849 | − | 0.609493i | ||||
\(871\) | −37.8432 | − | 3.97748i | −1.28227 | − | 0.134772i | ||||
\(872\) | −2.14890 | + | 3.30902i | −0.0727709 | + | 0.112057i | ||||
\(873\) | 3.83051 | − | 2.48756i | 0.129643 | − | 0.0841912i | ||||
\(874\) | −3.25381 | + | 2.36403i | −0.110062 | + | 0.0799645i | ||||
\(875\) | −22.9807 | + | 18.6250i | −0.776888 | + | 0.629639i | ||||
\(876\) | −4.52948 | − | 13.9403i | −0.153037 | − | 0.470999i | ||||
\(877\) | −29.9813 | − | 1.57126i | −1.01240 | − | 0.0530575i | −0.461085 | − | 0.887356i | \(-0.652540\pi\) |
−0.551313 | + | 0.834298i | \(0.685873\pi\) | |||||||
\(878\) | −12.3307 | − | 15.2271i | −0.416141 | − | 0.513891i | ||||
\(879\) | 17.6236 | − | 10.1750i | 0.594431 | − | 0.343195i | ||||
\(880\) | −4.00807 | − | 6.23982i | −0.135112 | − | 0.210344i | ||||
\(881\) | 41.0286i | 1.38229i | 0.722717 | + | 0.691144i | \(0.242893\pi\) | ||||
−0.722717 | + | 0.691144i | \(0.757107\pi\) | |||||||
\(882\) | 4.35567 | − | 0.880929i | 0.146663 | − | 0.0296624i | ||||
\(883\) | −52.0283 | + | 26.5097i | −1.75089 | + | 0.892123i | −0.790968 | + | 0.611857i | \(0.790423\pi\) |
−0.959922 | + | 0.280266i | \(0.909577\pi\) | |||||||
\(884\) | 0.372848 | − | 1.75411i | 0.0125402 | − | 0.0589971i | ||||
\(885\) | 16.2234 | − | 24.6062i | 0.545345 | − | 0.827128i | ||||
\(886\) | 9.90778 | + | 4.41123i | 0.332858 | + | 0.148198i | ||||
\(887\) | −29.5850 | − | 45.5570i | −0.993368 | − | 1.52965i | −0.840790 | − | 0.541362i | \(-0.817909\pi\) |
−0.152579 | − | 0.988291i | \(-0.548758\pi\) | |||||||
\(888\) | 0.657845 | + | 1.29109i | 0.0220758 | + | 0.0433263i | ||||
\(889\) | 3.11716 | − | 37.2530i | 0.104546 | − | 1.24942i | ||||
\(890\) | 1.66880 | − | 10.0828i | 0.0559383 | − | 0.337976i | ||||
\(891\) | 12.1254 | + | 18.5918i | 0.406216 | + | 0.622850i | ||||
\(892\) | −6.83200 | + | 25.4974i | −0.228752 | + | 0.853715i | ||||
\(893\) | 18.7618 | − | 15.1930i | 0.627840 | − | 0.508415i | ||||
\(894\) | −16.6163 | − | 18.4543i | −0.555732 | − | 0.617203i | ||||
\(895\) | −15.9562 | + | 21.6442i | −0.533358 | + | 0.723487i | ||||
\(896\) | −1.60024 | − | 2.10695i | −0.0534603 | − | 0.0703882i | ||||
\(897\) | 1.23985 | − | 7.82812i | 0.0413975 | − | 0.261373i | ||||
\(898\) | 6.96079 | + | 10.7187i | 0.232285 | + | 0.357687i | ||||
\(899\) | −34.5880 | + | 7.35191i | −1.15358 | + | 0.245200i | ||||
\(900\) | 2.88156 | + | 1.33120i | 0.0960519 | + | 0.0443732i | ||||
\(901\) | −7.51739 | − | 4.34017i | −0.250441 | − | 0.144592i | ||||
\(902\) | −7.17040 | − | 9.82876i | −0.238748 | − | 0.327262i | ||||
\(903\) | −42.0548 | + | 12.2315i | −1.39950 | + | 0.407039i | ||||
\(904\) | −3.70574 | + | 5.10051i | −0.123251 | + | 0.169641i | ||||
\(905\) | −5.37541 | + | 24.4532i | −0.178685 | + | 0.812853i | ||||
\(906\) | 17.9317 | + | 16.1458i | 0.595741 | + | 0.536408i | ||||
\(907\) | −33.4236 | + | 12.8301i | −1.10981 | + | 0.426017i | −0.843098 | − | 0.537760i | \(-0.819271\pi\) |
−0.266713 | + | 0.963776i | \(0.585938\pi\) | |||||||
\(908\) | −20.2574 | − | 16.4041i | −0.672266 | − | 0.544390i | ||||
\(909\) | −1.47990 | − | 4.55465i | −0.0490851 | − | 0.151068i | ||||
\(910\) | −12.7570 | + | 8.54622i | −0.422890 | + | 0.283304i | ||||
\(911\) | −3.74580 | − | 2.72149i | −0.124104 | − | 0.0901668i | 0.524002 | − | 0.851717i | \(-0.324439\pi\) |
−0.648106 | + | 0.761550i | \(0.724439\pi\) | |||||||
\(912\) | 0.806255 | + | 3.00898i | 0.0266978 | + | 0.0996374i | ||||
\(913\) | 22.5283 | + | 9.97755i | 0.745578 | + | 0.330209i | ||||
\(914\) | 20.1411 | − | 11.6285i | 0.666208 | − | 0.384635i | ||||
\(915\) | 13.3494 | − | 3.47780i | 0.441317 | − | 0.114972i | ||||
\(916\) | −3.46196 | − | 1.12486i | −0.114386 | − | 0.0371664i | ||||
\(917\) | −4.81060 | − | 2.32378i | −0.158860 | − | 0.0767381i | ||||
\(918\) | 3.81478 | + | 0.604202i | 0.125906 | + | 0.0199416i | ||||
\(919\) | −45.6972 | + | 4.80297i | −1.50741 | + | 0.158435i | −0.821902 | − | 0.569628i | \(-0.807087\pi\) |
−0.685509 | + | 0.728064i | \(0.740420\pi\) | |||||||
\(920\) | −4.41225 | − | 0.494742i | −0.145468 | − | 0.0163112i | ||||
\(921\) | −14.2297 | + | 3.02461i | −0.468883 | + | 0.0996642i | ||||
\(922\) | 19.1698 | + | 7.35861i | 0.631325 | + | 0.242343i | ||||
\(923\) | 3.90373 | − | 3.90373i | 0.128493 | − | 0.128493i | ||||
\(924\) | 1.01862 | + | 13.4566i | 0.0335101 | + | 0.442690i | ||||
\(925\) | −2.08027 | − | 4.22685i | −0.0683990 | − | 0.138978i | ||||
\(926\) | 6.74297 | − | 3.00216i | 0.221588 | − | 0.0986572i | ||||
\(927\) | 2.15004 | + | 1.39625i | 0.0706165 | + | 0.0458589i | ||||
\(928\) | −5.24561 | + | 0.274911i | −0.172196 | + | 0.00902440i | ||||
\(929\) | 4.52108 | + | 43.0152i | 0.148332 | + | 1.41128i | 0.774983 | + | 0.631982i | \(0.217758\pi\) |
−0.626651 | + | 0.779300i | \(0.715575\pi\) | |||||||
\(930\) | −7.30633 | + | 21.9665i | −0.239584 | + | 0.720308i | ||||
\(931\) | −10.9304 | − | 9.03155i | −0.358229 | − | 0.295997i | ||||
\(932\) | −5.28902 | − | 10.3803i | −0.173248 | − | 0.340017i | ||||
\(933\) | 3.67349 | + | 1.41012i | 0.120265 | + | 0.0461652i | ||||
\(934\) | 15.7792 | + | 27.3304i | 0.516311 | + | 0.894277i | ||||
\(935\) | 3.79078 | + | 3.44763i | 0.123972 | + | 0.112750i | ||||
\(936\) | 1.42696 | + | 0.823855i | 0.0466416 | + | 0.0269285i | ||||
\(937\) | −1.67005 | − | 10.5443i | −0.0545580 | − | 0.344466i | −0.999834 | − | 0.0181953i | \(-0.994208\pi\) |
0.945276 | − | 0.326271i | \(-0.105792\pi\) | |||||||
\(938\) | 20.4302 | − | 32.9722i | 0.667068 | − | 1.07658i | ||||
\(939\) | 11.9212 | − | 3.87342i | 0.389033 | − | 0.126404i | ||||
\(940\) | 26.6040 | + | 1.57954i | 0.867728 | + | 0.0515191i | ||||
\(941\) | 0.226136 | − | 0.507910i | 0.00737182 | − | 0.0165574i | −0.909822 | − | 0.414999i | \(-0.863782\pi\) |
0.917194 | + | 0.398441i | \(0.130449\pi\) | |||||||
\(942\) | −0.692584 | − | 13.2153i | −0.0225656 | − | 0.430577i | ||||
\(943\) | −7.27371 | − | 0.381199i | −0.236864 | − | 0.0124135i | ||||
\(944\) | −6.93375 | − | 5.03766i | −0.225674 | − | 0.163962i | ||||
\(945\) | −19.8192 | − | 26.4745i | −0.644720 | − | 0.861216i | ||||
\(946\) | 5.65356 | + | 35.2493i | 0.183813 | + | 1.14605i | ||||
\(947\) | −9.14862 | − | 34.1431i | −0.297290 | − | 1.10950i | −0.939382 | − | 0.342874i | \(-0.888600\pi\) |
0.642091 | − | 0.766628i | \(-0.278067\pi\) | |||||||
\(948\) | −0.406892 | − | 0.502470i | −0.0132152 | − | 0.0163195i | ||||
\(949\) | 5.14319 | + | 24.1968i | 0.166955 | + | 0.785461i | ||||
\(950\) | −2.48518 | − | 9.81817i | −0.0806299 | − | 0.318543i | ||||
\(951\) | −6.49120 | − | 8.93437i | −0.210492 | − | 0.289717i | ||||
\(952\) | 1.44476 | + | 1.11999i | 0.0468248 | + | 0.0362990i | ||||
\(953\) | 3.82271 | − | 7.50249i | 0.123830 | − | 0.243030i | −0.820767 | − | 0.571263i | \(-0.806453\pi\) |
0.944596 | + | 0.328234i | \(0.106453\pi\) | |||||||
\(954\) | 5.92704 | − | 5.33673i | 0.191895 | − | 0.172783i | ||||
\(955\) | 21.0353 | + | 37.0254i | 0.680685 | + | 1.19811i | ||||
\(956\) | 2.97914 | + | 5.16001i | 0.0963521 | + | 0.166887i | ||||
\(957\) | 23.2294 | + | 13.3511i | 0.750900 | + | 0.431579i | ||||
\(958\) | −12.6955 | + | 12.6955i | −0.410173 | + | 0.410173i | ||||
\(959\) | 48.5923 | − | 22.8833i | 1.56913 | − | 0.738940i | ||||
\(960\) | −1.58245 | + | 3.05314i | −0.0510733 | + | 0.0985397i | ||||
\(961\) | 14.0039 | + | 2.97662i | 0.451739 | + | 0.0960200i | ||||
\(962\) | −0.876383 | − | 2.28305i | −0.0282557 | − | 0.0736086i | ||||
\(963\) | −1.97266 | − | 5.13896i | −0.0635681 | − | 0.165601i | ||||
\(964\) | 11.5546 | + | 2.45602i | 0.372150 | + | 0.0791029i | ||||
\(965\) | 13.3328 | − | 25.7240i | 0.429198 | − | 0.828084i | ||||
\(966\) | 6.63559 | + | 4.60895i | 0.213496 | + | 0.148291i | ||||
\(967\) | −7.10398 | + | 7.10398i | −0.228448 | + | 0.228448i | −0.812044 | − | 0.583596i | \(-0.801645\pi\) |
0.583596 | + | 0.812044i | \(0.301645\pi\) | |||||||
\(968\) | 10.9871 | + | 0.532766i | 0.353138 | + | 0.0171237i | ||||
\(969\) | −1.07617 | − | 1.86398i | −0.0345715 | − | 0.0598796i | ||||
\(970\) | −7.94682 | − | 13.9877i | −0.255157 | − | 0.449117i | ||||
\(971\) | −12.5210 | + | 11.2740i | −0.401819 | + | 0.361799i | −0.845123 | − | 0.534572i | \(-0.820473\pi\) |
0.443304 | + | 0.896371i | \(0.353806\pi\) | |||||||
\(972\) | −2.94083 | + | 5.77170i | −0.0943271 | + | 0.185127i | ||||
\(973\) | −12.4217 | − | 30.4129i | −0.398222 | − | 0.974992i | ||||
\(974\) | −5.04134 | − | 6.93881i | −0.161535 | − | 0.222334i | ||||
\(975\) | 17.1440 | + | 10.2181i | 0.549047 | + | 0.327240i | ||||
\(976\) | −0.834034 | − | 3.92382i | −0.0266968 | − | 0.125598i | ||||
\(977\) | −28.7757 | − | 35.5351i | −0.920617 | − | 1.13687i | −0.990251 | − | 0.139295i | \(-0.955516\pi\) |
0.0696334 | − | 0.997573i | \(-0.477817\pi\) | |||||||
\(978\) | −1.62551 | − | 6.06647i | −0.0519779 | − | 0.193984i | ||||
\(979\) | 10.7397 | + | 10.6978i | 0.343243 | + | 0.341904i | ||||
\(980\) | −2.18814 | − | 15.4988i | −0.0698975 | − | 0.495090i | ||||
\(981\) | 2.02641 | + | 1.47227i | 0.0646983 | + | 0.0470061i | ||||
\(982\) | 18.8288 | + | 0.986778i | 0.600852 | + | 0.0314893i | ||||
\(983\) | 1.90927 | + | 36.4311i | 0.0608963 | + | 1.16197i | 0.842678 | + | 0.538418i | \(0.180978\pi\) |
−0.781782 | + | 0.623552i | \(0.785689\pi\) | |||||||
\(984\) | −2.29460 | + | 5.15375i | −0.0731491 | + | 0.164296i | ||||
\(985\) | 24.0555 | + | 1.42823i | 0.766471 | + | 0.0455072i | ||||
\(986\) | 3.45169 | − | 1.12152i | 0.109924 | − | 0.0357166i | ||||
\(987\) | −41.2239 | − | 25.5431i | −1.31217 | − | 0.813046i | ||||
\(988\) | −0.822425 | − | 5.19259i | −0.0261648 | − | 0.165198i | ||||
\(989\) | 18.5092 | + | 10.6863i | 0.588560 | + | 0.339805i | ||||
\(990\) | −4.08901 | + | 2.33367i | −0.129957 | + | 0.0741688i | ||||
\(991\) | 23.0873 | + | 39.9883i | 0.733392 | + | 1.27027i | 0.955425 | + | 0.295233i | \(0.0953972\pi\) |
−0.222034 | + | 0.975039i | \(0.571269\pi\) | |||||||
\(992\) | 6.28465 | + | 2.41245i | 0.199538 | + | 0.0765954i | ||||
\(993\) | 4.40743 | + | 8.65006i | 0.139865 | + | 0.274501i | ||||
\(994\) | 1.85231 | + | 5.31406i | 0.0587516 | + | 0.168552i | ||||
\(995\) | −12.0461 | + | 36.2167i | −0.381888 | + | 1.14815i | ||||
\(996\) | −1.19424 | − | 11.3624i | −0.0378408 | − | 0.360031i | ||||
\(997\) | 16.3908 | − | 0.859003i | 0.519101 | − | 0.0272049i | 0.209013 | − | 0.977913i | \(-0.432975\pi\) |
0.310088 | + | 0.950708i | \(0.399642\pi\) | |||||||
\(998\) | −20.6307 | − | 13.3977i | −0.653052 | − | 0.424097i | ||||
\(999\) | 4.81163 | − | 2.14227i | 0.152233 | − | 0.0677785i |
(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 | 770.2.bv.a.103.33 | yes | 768 | |
5.2 | odd | 4 | inner | 770.2.bv.a.257.40 | yes | 768 | |
7.3 | odd | 6 | inner | 770.2.bv.a.213.33 | yes | 768 | |
11.3 | even | 5 | inner | 770.2.bv.a.663.9 | yes | 768 | |
35.17 | even | 12 | inner | 770.2.bv.a.367.9 | yes | 768 | |
55.47 | odd | 20 | inner | 770.2.bv.a.47.33 | yes | 768 | |
77.3 | odd | 30 | inner | 770.2.bv.a.3.40 | ✓ | 768 | |
385.157 | even | 60 | inner | 770.2.bv.a.157.33 | yes | 768 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
770.2.bv.a.3.40 | ✓ | 768 | 77.3 | odd | 30 | inner | |
770.2.bv.a.47.33 | yes | 768 | 55.47 | odd | 20 | inner | |
770.2.bv.a.103.33 | yes | 768 | 1.1 | even | 1 | trivial | |
770.2.bv.a.157.33 | yes | 768 | 385.157 | even | 60 | inner | |
770.2.bv.a.213.33 | yes | 768 | 7.3 | odd | 6 | inner | |
770.2.bv.a.257.40 | yes | 768 | 5.2 | odd | 4 | inner | |
770.2.bv.a.367.9 | yes | 768 | 35.17 | even | 12 | inner | |
770.2.bv.a.663.9 | yes | 768 | 11.3 | even | 5 | inner |