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 | 28.1 | ||
Character | \(\chi\) | \(=\) | 729.28 |
Dual form | 729.2.g.c.703.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{22}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.81786 | + | 1.19562i | −1.28542 | + | 0.845434i | −0.993809 | − | 0.111102i | \(-0.964562\pi\) |
−0.291612 | + | 0.956537i | \(0.594192\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.08293 | − | 2.51052i | 0.541467 | − | 1.25526i | ||||
\(5\) | −0.443651 | + | 0.470242i | −0.198407 | + | 0.210299i | −0.818937 | − | 0.573884i | \(-0.805436\pi\) |
0.620530 | + | 0.784183i | \(0.286918\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.81697 | + | 0.212373i | 0.686750 | + | 0.0802696i | 0.452310 | − | 0.891861i | \(-0.350600\pi\) |
0.234440 | + | 0.972131i | \(0.424674\pi\) | |||||||
\(8\) | 0.277373 | + | 1.57306i | 0.0980662 | + | 0.556161i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.244261 | − | 1.38527i | 0.0772422 | − | 0.438062i | ||||
\(11\) | 0.346986 | − | 1.15901i | 0.104620 | − | 0.349456i | −0.889610 | − | 0.456720i | \(-0.849024\pi\) |
0.994231 | + | 0.107264i | \(0.0342092\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.310113 | − | 5.32444i | 0.0860099 | − | 1.47673i | −0.628883 | − | 0.777500i | \(-0.716488\pi\) |
0.714893 | − | 0.699233i | \(-0.246475\pi\) | |||||||
\(14\) | −3.55691 | + | 1.78635i | −0.950625 | + | 0.477422i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.36753 | + | 1.44950i | 0.341884 | + | 0.362375i | ||||
\(17\) | −6.43434 | + | 2.34191i | −1.56056 | + | 0.567996i | −0.970864 | − | 0.239631i | \(-0.922973\pi\) |
−0.589693 | + | 0.807628i | \(0.700751\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.97823 | − | 2.17590i | −1.37150 | − | 0.499185i | −0.451909 | − | 0.892064i | \(-0.649257\pi\) |
−0.919590 | + | 0.392879i | \(0.871479\pi\) | |||||||
\(20\) | 0.700110 | + | 1.62304i | 0.156549 | + | 0.362922i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.754974 | + | 2.52179i | 0.160961 | + | 0.537648i | ||||
\(23\) | 3.09558 | − | 0.361822i | 0.645474 | − | 0.0754451i | 0.212944 | − | 0.977064i | \(-0.431695\pi\) |
0.432530 | + | 0.901619i | \(0.357621\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.266422 | + | 4.57429i | 0.0532845 | + | 0.914859i | ||||
\(26\) | 5.80229 | + | 10.0499i | 1.13792 | + | 1.97094i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.50083 | − | 4.33156i | 0.472612 | − | 0.818588i | ||||
\(29\) | −5.26023 | − | 2.64179i | −0.976800 | − | 0.490568i | −0.112559 | − | 0.993645i | \(-0.535905\pi\) |
−0.864241 | + | 0.503077i | \(0.832201\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.65611 | − | 2.22454i | −0.297446 | − | 0.399540i | 0.628125 | − | 0.778112i | \(-0.283822\pi\) |
−0.925572 | + | 0.378572i | \(0.876415\pi\) | |||||||
\(32\) | −7.32759 | − | 1.73667i | −1.29535 | − | 0.307003i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 8.89668 | − | 11.9503i | 1.52577 | − | 2.04946i | ||||
\(35\) | −0.905967 | + | 0.760197i | −0.153136 | + | 0.128497i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.09453 | − | 0.918418i | −0.179939 | − | 0.150987i | 0.548369 | − | 0.836236i | \(-0.315249\pi\) |
−0.728309 | + | 0.685249i | \(0.759693\pi\) | |||||||
\(38\) | 13.4691 | − | 3.19224i | 2.18498 | − | 0.517850i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.862777 | − | 0.567457i | −0.136417 | − | 0.0897229i | ||||
\(41\) | −0.931903 | − | 0.612922i | −0.145539 | − | 0.0957224i | 0.474651 | − | 0.880174i | \(-0.342574\pi\) |
−0.620190 | + | 0.784452i | \(0.712945\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −9.37473 | + | 2.22185i | −1.42963 | + | 0.338829i | −0.871285 | − | 0.490777i | \(-0.836713\pi\) |
−0.558348 | + | 0.829607i | \(0.688565\pi\) | |||||||
\(44\) | −2.53397 | − | 2.12625i | −0.382010 | − | 0.320545i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −5.19473 | + | 4.35890i | −0.765922 | + | 0.642685i | ||||
\(47\) | 3.64407 | − | 4.89483i | 0.531542 | − | 0.713984i | −0.452532 | − | 0.891748i | \(-0.649479\pi\) |
0.984073 | + | 0.177764i | \(0.0568864\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.55504 | − | 0.842559i | −0.507862 | − | 0.120366i | ||||
\(50\) | −5.95346 | − | 7.99688i | −0.841946 | − | 1.13093i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −13.0313 | − | 6.54456i | −1.80711 | − | 0.907567i | ||||
\(53\) | 4.26135 | − | 7.38088i | 0.585342 | − | 1.01384i | −0.409491 | − | 0.912314i | \(-0.634294\pi\) |
0.994833 | − | 0.101528i | \(-0.0323731\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.391077 | + | 0.677365i | 0.0527328 | + | 0.0913359i | ||||
\(56\) | 0.169902 | + | 2.91711i | 0.0227042 | + | 0.389815i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 12.7209 | − | 1.48687i | 1.67034 | − | 0.195235i | ||||
\(59\) | −0.598878 | − | 2.00039i | −0.0779672 | − | 0.260429i | 0.910115 | − | 0.414356i | \(-0.135993\pi\) |
−0.988082 | + | 0.153927i | \(0.950808\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.42194 | − | 3.29643i | −0.182061 | − | 0.422065i | 0.802606 | − | 0.596510i | \(-0.203446\pi\) |
−0.984667 | + | 0.174445i | \(0.944187\pi\) | |||||||
\(62\) | 5.67029 | + | 2.06382i | 0.720128 | + | 0.262105i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 11.6517 | − | 4.24088i | 1.45646 | − | 0.530110i | ||||
\(65\) | 2.36619 | + | 2.50802i | 0.293490 | + | 0.311082i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.09003 | − | 0.547434i | 0.133168 | − | 0.0668796i | −0.380967 | − | 0.924588i | \(-0.624409\pi\) |
0.514136 | + | 0.857709i | \(0.328113\pi\) | |||||||
\(68\) | −1.08855 | + | 18.6897i | −0.132006 | + | 2.26646i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.738011 | − | 2.46513i | 0.0882092 | − | 0.294639i | ||||
\(71\) | 1.41528 | − | 8.02646i | 0.167963 | − | 0.952565i | −0.777994 | − | 0.628272i | \(-0.783763\pi\) |
0.945957 | − | 0.324293i | \(-0.105126\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.11524 | + | 6.32482i | 0.130529 | + | 0.740264i | 0.977870 | + | 0.209215i | \(0.0670909\pi\) |
−0.847341 | + | 0.531049i | \(0.821798\pi\) | |||||||
\(74\) | 3.08778 | + | 0.360910i | 0.358947 | + | 0.0419549i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −11.9367 | + | 12.6521i | −1.36923 | + | 1.45130i | ||||
\(77\) | 0.876607 | − | 2.03220i | 0.0998986 | − | 0.231591i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 11.9127 | − | 7.83511i | 1.34028 | − | 0.881518i | 0.341978 | − | 0.939708i | \(-0.388903\pi\) |
0.998306 | + | 0.0581898i | \(0.0185329\pi\) | |||||||
\(80\) | −1.28832 | −0.144039 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.42689 | 0.268006 | ||||||||
\(83\) | −5.61402 | + | 3.69240i | −0.616219 | + | 0.405294i | −0.818888 | − | 0.573954i | \(-0.805409\pi\) |
0.202669 | + | 0.979247i | \(0.435039\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.75334 | − | 4.06469i | 0.190176 | − | 0.440878i | ||||
\(86\) | 14.3854 | − | 15.2477i | 1.55122 | − | 1.64420i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.91944 | + | 0.224351i | 0.204613 | + | 0.0239159i | ||||
\(89\) | −2.70557 | − | 15.3441i | −0.286790 | − | 1.62647i | −0.698820 | − | 0.715297i | \(-0.746291\pi\) |
0.412030 | − | 0.911170i | \(-0.364820\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.69423 | − | 9.60848i | 0.177604 | − | 1.00724i | ||||
\(92\) | 2.44395 | − | 8.16337i | 0.254800 | − | 0.851090i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.772019 | + | 13.2550i | −0.0796276 | + | 1.36715i | ||||
\(95\) | 3.67544 | − | 1.84588i | 0.377093 | − | 0.189383i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.55920 | + | 2.71259i | 0.259847 | + | 0.275422i | 0.844142 | − | 0.536120i | \(-0.180110\pi\) |
−0.584295 | + | 0.811541i | \(0.698629\pi\) | |||||||
\(98\) | 7.46994 | − | 2.71884i | 0.754578 | − | 0.274644i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 11.7724 | + | 4.28480i | 1.17724 | + | 0.428480i | ||||
\(101\) | −1.84200 | − | 4.27024i | −0.183286 | − | 0.424904i | 0.801657 | − | 0.597784i | \(-0.203952\pi\) |
−0.984943 | + | 0.172880i | \(0.944693\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.48234 | − | 4.95138i | −0.146060 | − | 0.487874i | 0.853382 | − | 0.521286i | \(-0.174548\pi\) |
−0.999442 | + | 0.0334127i | \(0.989362\pi\) | |||||||
\(104\) | 8.46168 | − | 0.989028i | 0.829736 | − | 0.0969822i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.07822 | + | 18.5124i | 0.104726 | + | 1.79808i | ||||
\(107\) | 6.49528 | + | 11.2502i | 0.627922 | + | 1.08759i | 0.987968 | + | 0.154659i | \(0.0494278\pi\) |
−0.360046 | + | 0.932935i | \(0.617239\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.888686 | + | 1.53925i | −0.0851207 | + | 0.147433i | −0.905443 | − | 0.424469i | \(-0.860461\pi\) |
0.820322 | + | 0.571902i | \(0.193794\pi\) | |||||||
\(110\) | −1.52080 | − | 0.763773i | −0.145002 | − | 0.0728229i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 2.17693 | + | 2.92413i | 0.205701 | + | 0.276304i | ||||
\(113\) | 13.5138 | + | 3.20282i | 1.27127 | + | 0.301296i | 0.810244 | − | 0.586092i | \(-0.199334\pi\) |
0.461023 | + | 0.887388i | \(0.347483\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.20321 | + | 1.61620i | −0.112200 | + | 0.150711i | ||||
\(116\) | −12.3288 | + | 10.3451i | −1.14470 | + | 0.960514i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 3.48039 | + | 2.92040i | 0.320396 | + | 0.268844i | ||||
\(119\) | −12.1884 | + | 2.88869i | −1.11731 | + | 0.264806i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 7.96745 | + | 5.24027i | 0.724314 | + | 0.476389i | ||||
\(122\) | 6.52619 | + | 4.29234i | 0.590853 | + | 0.388610i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −7.37823 | + | 1.74867i | −0.662584 | + | 0.157035i | ||||
\(125\) | −4.74544 | − | 3.98190i | −0.424445 | − | 0.356152i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.72949 | + | 7.32491i | −0.774617 | + | 0.649981i | −0.941887 | − | 0.335930i | \(-0.890949\pi\) |
0.167270 | + | 0.985911i | \(0.446505\pi\) | |||||||
\(128\) | −7.11678 | + | 9.55950i | −0.629041 | + | 0.844948i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −7.30006 | − | 1.73015i | −0.640258 | − | 0.151744i | ||||
\(131\) | −8.70702 | − | 11.6956i | −0.760736 | − | 1.02185i | −0.998720 | − | 0.0505763i | \(-0.983894\pi\) |
0.237985 | − | 0.971269i | \(-0.423513\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −10.4002 | − | 5.22315i | −0.901808 | − | 0.452905i | ||||
\(134\) | −1.32700 | + | 2.29842i | −0.114635 | + | 0.198554i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −5.46868 | − | 9.47202i | −0.468935 | − | 0.812219i | ||||
\(137\) | 0.0215606 | + | 0.370181i | 0.00184204 | + | 0.0316267i | 0.999104 | − | 0.0423242i | \(-0.0134762\pi\) |
−0.997262 | + | 0.0739509i | \(0.976439\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −14.8762 | + | 1.73878i | −1.26179 | + | 0.147482i | −0.720559 | − | 0.693394i | \(-0.756115\pi\) |
−0.541228 | + | 0.840876i | \(0.682040\pi\) | |||||||
\(140\) | 0.927389 | + | 3.09770i | 0.0783787 | + | 0.261803i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 7.02385 | + | 16.2831i | 0.589428 | + | 1.36645i | ||||
\(143\) | −6.06349 | − | 2.20693i | −0.507055 | − | 0.184553i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.57599 | − | 1.30155i | 0.296970 | − | 0.108088i | ||||
\(146\) | −9.58945 | − | 10.1642i | −0.793629 | − | 0.841197i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −3.49101 | + | 1.75325i | −0.286960 | + | 0.144116i | ||||
\(149\) | 0.0581597 | − | 0.998563i | 0.00476463 | − | 0.0818055i | −0.995088 | − | 0.0989987i | \(-0.968436\pi\) |
0.999852 | + | 0.0171933i | \(0.00547306\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.00563064 | + | 0.0188076i | −0.000458215 | + | 0.00153054i | −0.958218 | − | 0.286038i | \(-0.907662\pi\) |
0.957760 | + | 0.287568i | \(0.0928469\pi\) | |||||||
\(152\) | 1.76462 | − | 10.0076i | 0.143129 | − | 0.811727i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.836205 | + | 4.74235i | 0.0673833 | + | 0.382150i | ||||
\(155\) | 1.78081 | + | 0.208147i | 0.143038 | + | 0.0167188i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.35582 | − | 5.67684i | 0.427441 | − | 0.453061i | −0.477479 | − | 0.878643i | \(-0.658449\pi\) |
0.904920 | + | 0.425582i | \(0.139931\pi\) | |||||||
\(158\) | −12.2878 | + | 28.4862i | −0.977562 | + | 2.26624i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 4.06755 | − | 2.67527i | 0.321568 | − | 0.211498i | ||||
\(161\) | 5.70142 | 0.449335 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −15.3947 | −1.20581 | −0.602905 | − | 0.797813i | \(-0.705990\pi\) | ||||
−0.602905 | + | 0.797813i | \(0.705990\pi\) | |||||||
\(164\) | −2.54795 | + | 1.67581i | −0.198961 | + | 0.130859i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 5.79078 | − | 13.4245i | 0.449452 | − | 1.04195i | ||||
\(167\) | −2.50809 | + | 2.65842i | −0.194082 | + | 0.205714i | −0.817105 | − | 0.576489i | \(-0.804423\pi\) |
0.623024 | + | 0.782203i | \(0.285904\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −15.3414 | − | 1.79315i | −1.18010 | − | 0.137934i | ||||
\(170\) | 1.67253 | + | 9.48537i | 0.128277 | + | 0.727494i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −4.57421 | + | 25.9416i | −0.348780 | + | 1.97803i | ||||
\(173\) | −3.80949 | + | 12.7246i | −0.289630 | + | 0.967432i | 0.682085 | + | 0.731273i | \(0.261074\pi\) |
−0.971715 | + | 0.236158i | \(0.924112\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.487377 | + | 8.36794i | −0.0368422 | + | 0.632556i | ||||
\(176\) | 2.15451 | − | 1.08203i | 0.162402 | − | 0.0815614i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 23.2641 | + | 24.6585i | 1.74372 | + | 1.84823i | ||||
\(179\) | −0.392738 | + | 0.142945i | −0.0293546 | + | 0.0106842i | −0.356656 | − | 0.934236i | \(-0.616083\pi\) |
0.327301 | + | 0.944920i | \(0.393861\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −19.5881 | − | 7.12947i | −1.45597 | − | 0.529929i | −0.511717 | − | 0.859154i | \(-0.670990\pi\) |
−0.944252 | + | 0.329225i | \(0.893213\pi\) | |||||||
\(182\) | 8.40826 | + | 19.4925i | 0.623262 | + | 1.44488i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.42780 | + | 4.76918i | 0.105259 | + | 0.351589i | ||||
\(185\) | 0.917468 | − | 0.107237i | 0.0674536 | − | 0.00788419i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.481679 | + | 8.27010i | 0.0352238 | + | 0.604770i | ||||
\(188\) | −8.34230 | − | 14.4493i | −0.608425 | − | 1.05382i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −4.47446 | + | 7.75000i | −0.324612 | + | 0.562244i | ||||
\(191\) | 6.15645 | + | 3.09189i | 0.445465 | + | 0.223721i | 0.657368 | − | 0.753570i | \(-0.271670\pi\) |
−0.211903 | + | 0.977291i | \(0.567966\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −5.22298 | − | 7.01568i | −0.375958 | − | 0.505000i | 0.573365 | − | 0.819300i | \(-0.305638\pi\) |
−0.949324 | + | 0.314300i | \(0.898230\pi\) | |||||||
\(194\) | −7.89550 | − | 1.87127i | −0.566864 | − | 0.134349i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −5.96514 | + | 8.01257i | −0.426081 | + | 0.572326i | ||||
\(197\) | −6.47094 | + | 5.42976i | −0.461035 | + | 0.386855i | −0.843512 | − | 0.537111i | \(-0.819516\pi\) |
0.382476 | + | 0.923965i | \(0.375071\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.66790 | + | 8.11233i | 0.685339 | + | 0.575068i | 0.917561 | − | 0.397595i | \(-0.130155\pi\) |
−0.232222 | + | 0.972663i | \(0.574599\pi\) | |||||||
\(200\) | −7.12174 | + | 1.68788i | −0.503583 | + | 0.119351i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 8.45410 | + | 5.56035i | 0.594828 | + | 0.391225i | ||||
\(203\) | −8.99664 | − | 5.91718i | −0.631440 | − | 0.415305i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.701662 | − | 0.166297i | 0.0490062 | − | 0.0116147i | ||||
\(206\) | 8.61468 | + | 7.22858i | 0.600213 | + | 0.503639i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 8.14187 | − | 6.83184i | 0.564537 | − | 0.473703i | ||||
\(209\) | −4.59626 | + | 6.17384i | −0.317930 | + | 0.427054i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.52292 | − | 1.30896i | −0.380213 | − | 0.0901122i | 0.0360651 | − | 0.999349i | \(-0.488518\pi\) |
−0.416278 | + | 0.909237i | \(0.636666\pi\) | |||||||
\(212\) | −13.9151 | − | 18.6912i | −0.955694 | − | 1.28372i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −25.2585 | − | 12.6853i | −1.72663 | − | 0.867148i | ||||
\(215\) | 3.11430 | − | 5.39413i | 0.212393 | − | 0.367876i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.53667 | − | 4.39364i | −0.172200 | − | 0.298260i | ||||
\(218\) | −0.224859 | − | 3.86067i | −0.0152294 | − | 0.261478i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 2.12405 | − | 0.248266i | 0.143204 | − | 0.0167381i | ||||
\(221\) | 10.4740 | + | 34.9855i | 0.704555 | + | 2.35338i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.98361 | + | 6.91679i | 0.199797 | + | 0.463183i | 0.988429 | − | 0.151683i | \(-0.0484694\pi\) |
−0.788632 | + | 0.614866i | \(0.789210\pi\) | |||||||
\(224\) | −12.9452 | − | 4.71166i | −0.864936 | − | 0.314811i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −28.3955 | + | 10.3351i | −1.88884 | + | 0.687481i | ||||
\(227\) | 9.36249 | + | 9.92366i | 0.621410 | + | 0.658656i | 0.959254 | − | 0.282546i | \(-0.0911789\pi\) |
−0.337843 | + | 0.941202i | \(0.609697\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 14.2932 | − | 7.17833i | 0.944523 | − | 0.474357i | 0.0912534 | − | 0.995828i | \(-0.470913\pi\) |
0.853269 | + | 0.521471i | \(0.174616\pi\) | |||||||
\(230\) | 0.254909 | − | 4.37661i | 0.0168082 | − | 0.288585i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2.69665 | − | 9.00742i | 0.177043 | − | 0.591366i | ||||
\(233\) | −0.930605 | + | 5.27772i | −0.0609660 | + | 0.345755i | 0.939032 | + | 0.343829i | \(0.111724\pi\) |
−0.999998 | + | 0.00192589i | \(0.999387\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.685064 | + | 3.88519i | 0.0446886 | + | 0.253442i | ||||
\(236\) | −5.67057 | − | 0.662795i | −0.369123 | − | 0.0431443i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 18.7029 | − | 19.8239i | 1.21233 | − | 1.28500i | ||||
\(239\) | −6.39415 | + | 14.8233i | −0.413603 | + | 0.958840i | 0.576319 | + | 0.817225i | \(0.304489\pi\) |
−0.989922 | + | 0.141615i | \(0.954771\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 19.5404 | − | 12.8519i | 1.25871 | − | 0.827864i | 0.267938 | − | 0.963436i | \(-0.413658\pi\) |
0.990767 | + | 0.135572i | \(0.0432873\pi\) | |||||||
\(242\) | −20.7491 | −1.33380 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −9.81564 | −0.628382 | ||||||||
\(245\) | 1.97340 | − | 1.29793i | 0.126076 | − | 0.0829215i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −13.4394 | + | 31.1559i | −0.855125 | + | 1.98240i | ||||
\(248\) | 3.03998 | − | 3.22219i | 0.193039 | − | 0.204609i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 13.3874 | + | 1.56476i | 0.846693 | + | 0.0989643i | ||||
\(251\) | 4.21745 | + | 23.9183i | 0.266203 | + | 1.50971i | 0.765588 | + | 0.643331i | \(0.222448\pi\) |
−0.499385 | + | 0.866380i | \(0.666441\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.654768 | − | 3.71337i | 0.0411649 | − | 0.233458i | ||||
\(254\) | 7.11114 | − | 23.7529i | 0.446193 | − | 1.49039i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.0658029 | − | 1.12979i | 0.00411268 | − | 0.0706120i | ||||
\(257\) | 8.60919 | − | 4.32370i | 0.537027 | − | 0.269705i | −0.159547 | − | 0.987190i | \(-0.551003\pi\) |
0.696573 | + | 0.717485i | \(0.254707\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.79368 | − | 1.90119i | −0.111454 | − | 0.118134i | ||||
\(260\) | 8.85887 | − | 3.22437i | 0.549404 | − | 0.199967i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 29.8116 | + | 10.8505i | 1.84177 | + | 0.670349i | ||||
\(263\) | 2.63068 | + | 6.09861i | 0.162215 | + | 0.376056i | 0.979866 | − | 0.199658i | \(-0.0639832\pi\) |
−0.817651 | + | 0.575715i | \(0.804724\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.58025 | + | 5.27841i | 0.0970740 | + | 0.324250i | ||||
\(266\) | 25.1510 | − | 2.93972i | 1.54210 | − | 0.180246i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.193914 | − | 3.32938i | −0.0118452 | − | 0.203374i | ||||
\(269\) | −14.6832 | − | 25.4321i | −0.895251 | − | 1.55062i | −0.833494 | − | 0.552529i | \(-0.813663\pi\) |
−0.0617568 | − | 0.998091i | \(-0.519670\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 9.43957 | − | 16.3498i | 0.573413 | − | 0.993180i | −0.422799 | − | 0.906223i | \(-0.638952\pi\) |
0.996212 | − | 0.0869568i | \(-0.0277142\pi\) | |||||||
\(272\) | −12.1938 | − | 6.12395i | −0.739356 | − | 0.371319i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.481791 | − | 0.647158i | −0.0291061 | − | 0.0390963i | ||||
\(275\) | 5.39412 | + | 1.27843i | 0.325277 | + | 0.0770922i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 8.38334 | − | 11.2608i | 0.503706 | − | 0.676594i | −0.475441 | − | 0.879748i | \(-0.657712\pi\) |
0.979147 | + | 0.203153i | \(0.0651189\pi\) | |||||||
\(278\) | 24.9640 | − | 20.9473i | 1.49724 | − | 1.25633i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.44713 | − | 1.21428i | −0.0864824 | − | 0.0725673i | ||||
\(281\) | −21.4853 | + | 5.09210i | −1.28170 | + | 0.303769i | −0.814388 | − | 0.580321i | \(-0.802927\pi\) |
−0.467316 | + | 0.884091i | \(0.654779\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −3.30559 | − | 2.17412i | −0.196497 | − | 0.129238i | 0.447448 | − | 0.894310i | \(-0.352333\pi\) |
−0.643945 | + | 0.765072i | \(0.722703\pi\) | |||||||
\(284\) | −18.6180 | − | 12.2452i | −1.10477 | − | 0.726620i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 13.6612 | − | 3.23777i | 0.807806 | − | 0.191454i | ||||
\(287\) | −1.56307 | − | 1.31157i | −0.0922652 | − | 0.0774197i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 22.8934 | − | 19.2099i | 1.34667 | − | 1.12999i | ||||
\(290\) | −4.94447 | + | 6.64158i | −0.290349 | + | 0.390007i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 17.0863 | + | 4.04954i | 0.999902 | + | 0.236981i | ||||
\(293\) | 4.76369 | + | 6.39875i | 0.278298 | + | 0.373819i | 0.919192 | − | 0.393811i | \(-0.128843\pi\) |
−0.640894 | + | 0.767630i | \(0.721436\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.20636 | + | 0.605857i | 0.0702371 | + | 0.0352744i | ||||
\(296\) | 1.14114 | − | 1.97650i | 0.0663271 | − | 0.114882i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 1.08818 | + | 1.88478i | 0.0630366 | + | 0.109183i | ||||
\(299\) | −0.966516 | − | 16.5944i | −0.0558951 | − | 0.959682i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −17.5055 | + | 2.04610i | −1.00900 | + | 0.117935i | ||||
\(302\) | −0.0122512 | − | 0.0409218i | −0.000704976 | − | 0.00235478i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −5.02146 | − | 11.6411i | −0.288001 | − | 0.667661i | ||||
\(305\) | 2.18097 | + | 0.793808i | 0.124882 | + | 0.0454533i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.95823 | − | 0.712736i | 0.111762 | − | 0.0406780i | −0.285534 | − | 0.958369i | \(-0.592171\pi\) |
0.397296 | + | 0.917691i | \(0.369949\pi\) | |||||||
\(308\) | −4.15259 | − | 4.40149i | −0.236616 | − | 0.250798i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −3.48613 | + | 1.75080i | −0.197999 | + | 0.0994387i | ||||
\(311\) | 0.873011 | − | 14.9890i | 0.0495039 | − | 0.849949i | −0.878584 | − | 0.477588i | \(-0.841511\pi\) |
0.928088 | − | 0.372361i | \(-0.121452\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.46009 | + | 4.87703i | −0.0825290 | + | 0.275666i | −0.989287 | − | 0.145986i | \(-0.953364\pi\) |
0.906758 | + | 0.421652i | \(0.138550\pi\) | |||||||
\(314\) | −2.94876 | + | 16.7232i | −0.166408 | + | 0.943747i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −6.76955 | − | 38.3920i | −0.380817 | − | 2.15972i | ||||
\(317\) | 27.5207 | + | 3.21671i | 1.54572 | + | 0.180669i | 0.845779 | − | 0.533533i | \(-0.179136\pi\) |
0.699940 | + | 0.714202i | \(0.253210\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.88710 | + | 5.18002i | −0.273625 | + | 0.290025i | ||||
\(320\) | −3.17505 | + | 7.36060i | −0.177491 | + | 0.411470i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −10.3644 | + | 6.81676i | −0.577585 | + | 0.379883i | ||||
\(323\) | 43.5617 | 2.42384 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 24.4382 | 1.35559 | ||||||||
\(326\) | 27.9855 | − | 18.4063i | 1.54997 | − | 1.01943i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.705679 | − | 1.63595i | 0.0389646 | − | 0.0903301i | ||||
\(329\) | 7.66069 | − | 8.11986i | 0.422347 | − | 0.447662i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −27.0847 | − | 3.16575i | −1.48871 | − | 0.174005i | −0.667492 | − | 0.744617i | \(-0.732632\pi\) |
−0.821220 | + | 0.570612i | \(0.806706\pi\) | |||||||
\(332\) | 3.19024 | + | 18.0928i | 0.175087 | + | 0.992969i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.38088 | − | 7.83136i | 0.0755584 | − | 0.428513i | ||||
\(335\) | −0.226166 | + | 0.755448i | −0.0123568 | + | 0.0412745i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.739519 | − | 12.6970i | 0.0402842 | − | 0.691652i | −0.916353 | − | 0.400371i | \(-0.868881\pi\) |
0.956637 | − | 0.291281i | \(-0.0940816\pi\) | |||||||
\(338\) | 30.0324 | − | 15.0828i | 1.63355 | − | 0.820397i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −8.30575 | − | 8.80358i | −0.450443 | − | 0.477441i | ||||
\(341\) | −3.15292 | + | 1.14757i | −0.170740 | + | 0.0621444i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.3136 | − | 6.66560i | −0.988840 | − | 0.359908i | ||||
\(344\) | −6.09541 | − | 14.1307i | −0.328642 | − | 0.761879i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −8.28871 | − | 27.6862i | −0.445604 | − | 1.48842i | ||||
\(347\) | −8.35624 | + | 0.976704i | −0.448586 | + | 0.0524322i | −0.337387 | − | 0.941366i | \(-0.609543\pi\) |
−0.111199 | + | 0.993798i | \(0.535469\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.75267 | − | 30.0922i | −0.0938184 | − | 1.61080i | −0.636783 | − | 0.771043i | \(-0.719735\pi\) |
0.542964 | − | 0.839756i | \(-0.317302\pi\) | |||||||
\(350\) | −9.11893 | − | 15.7944i | −0.487427 | − | 0.844249i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −4.55540 | + | 7.89018i | −0.242803 | + | 0.420548i | ||||
\(353\) | 20.7603 | + | 10.4262i | 1.10496 | + | 0.554932i | 0.905231 | − | 0.424919i | \(-0.139698\pi\) |
0.199729 | + | 0.979851i | \(0.435994\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.14649 | + | 4.22647i | 0.166998 | + | 0.224318i | ||||
\(356\) | −41.4516 | − | 9.82421i | −2.19693 | − | 0.520682i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.543034 | − | 0.729421i | 0.0287002 | − | 0.0385511i | ||||
\(359\) | 3.19290 | − | 2.67916i | 0.168515 | − | 0.141401i | −0.554630 | − | 0.832097i | \(-0.687140\pi\) |
0.723145 | + | 0.690696i | \(0.242696\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 16.4498 | + | 13.8030i | 0.865780 | + | 0.726476i | ||||
\(362\) | 44.1325 | − | 10.4596i | 2.31955 | − | 0.549744i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −22.2876 | − | 14.6588i | −1.16819 | − | 0.768328i | ||||
\(365\) | −3.46897 | − | 2.28158i | −0.181574 | − | 0.119423i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −11.4051 | + | 2.70306i | −0.595341 | + | 0.141098i | −0.517230 | − | 0.855846i | \(-0.673037\pi\) |
−0.0781107 | + | 0.996945i | \(0.524889\pi\) | |||||||
\(368\) | 4.75778 | + | 3.99225i | 0.248016 | + | 0.208110i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −1.53961 | + | 1.29189i | −0.0800407 | + | 0.0671621i | ||||
\(371\) | 9.31026 | − | 12.5058i | 0.483364 | − | 0.649271i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 35.3913 | + | 8.38790i | 1.83249 | + | 0.434309i | 0.993885 | − | 0.110423i | \(-0.0352207\pi\) |
0.838610 | + | 0.544733i | \(0.183369\pi\) | |||||||
\(374\) | −10.7636 | − | 14.4580i | −0.556571 | − | 0.747604i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 8.71063 | + | 4.37464i | 0.449216 | + | 0.225605i | ||||
\(377\) | −15.6973 | + | 27.1885i | −0.808452 | + | 1.40028i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 5.02516 | + | 8.70383i | 0.258125 | + | 0.447086i | 0.965740 | − | 0.259513i | \(-0.0835620\pi\) |
−0.707615 | + | 0.706599i | \(0.750229\pi\) | |||||||
\(380\) | −0.653855 | − | 11.2263i | −0.0335420 | − | 0.575895i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −14.8883 | + | 1.74019i | −0.761751 | + | 0.0890360i | ||||
\(383\) | 0.0867894 | + | 0.289897i | 0.00443473 | + | 0.0148130i | 0.960178 | − | 0.279388i | \(-0.0901316\pi\) |
−0.955744 | + | 0.294201i | \(0.904946\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.566721 | + | 1.31381i | 0.0288828 | + | 0.0669578i | ||||
\(386\) | 17.8828 | + | 6.50880i | 0.910209 | + | 0.331289i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 9.58146 | − | 3.48737i | 0.486425 | − | 0.177044i | ||||
\(389\) | −5.16022 | − | 5.46952i | −0.261634 | − | 0.277315i | 0.583218 | − | 0.812315i | \(-0.301793\pi\) |
−0.844852 | + | 0.535000i | \(0.820312\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −19.0707 | + | 9.57766i | −0.964446 | + | 0.484363i | ||||
\(392\) | 0.339325 | − | 5.82599i | 0.0171385 | − | 0.294257i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 5.27130 | − | 17.6074i | 0.265564 | − | 0.887046i | ||||
\(395\) | −1.60068 | + | 9.07791i | −0.0805390 | + | 0.456759i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.95983 | + | 16.7860i | 0.148549 | + | 0.842466i | 0.964448 | + | 0.264271i | \(0.0851314\pi\) |
−0.815899 | + | 0.578195i | \(0.803757\pi\) | |||||||
\(398\) | −27.2742 | − | 3.18790i | −1.36713 | − | 0.159795i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −6.26610 | + | 6.64168i | −0.313305 | + | 0.332084i | ||||
\(401\) | 5.37775 | − | 12.4670i | 0.268552 | − | 0.622574i | −0.729565 | − | 0.683911i | \(-0.760277\pi\) |
0.998117 | + | 0.0613379i | \(0.0195367\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −12.3580 | + | 8.12800i | −0.615597 | + | 0.404884i | ||||
\(404\) | −12.7153 | −0.632609 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 23.4293 | 1.16278 | ||||||||
\(407\) | −1.44425 | + | 0.949896i | −0.0715886 | + | 0.0470846i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −0.266304 | + | 0.617363i | −0.0131679 | + | 0.0305266i | −0.924673 | − | 0.380762i | \(-0.875662\pi\) |
0.911505 | + | 0.411288i | \(0.134921\pi\) | |||||||
\(410\) | −1.07669 | + | 1.14123i | −0.0531741 | + | 0.0563613i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −14.0358 | − | 1.64055i | −0.691496 | − | 0.0808242i | ||||
\(413\) | −0.663313 | − | 3.76184i | −0.0326395 | − | 0.185108i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.754343 | − | 4.27809i | 0.0370292 | − | 0.210003i | ||||
\(416\) | −11.5192 | + | 38.4767i | −0.564774 | + | 1.88648i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.973746 | − | 16.7186i | 0.0476275 | − | 0.817733i | ||||
\(419\) | −17.7708 | + | 8.92485i | −0.868163 | + | 0.436008i | −0.826376 | − | 0.563119i | \(-0.809601\pi\) |
−0.0417867 | + | 0.999127i | \(0.513305\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −8.61615 | − | 9.13258i | −0.419925 | − | 0.445095i | 0.482529 | − | 0.875880i | \(-0.339718\pi\) |
−0.902455 | + | 0.430785i | \(0.858237\pi\) | |||||||
\(422\) | 11.6049 | − | 4.22384i | 0.564918 | − | 0.205613i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 12.7926 | + | 4.65611i | 0.621262 | + | 0.226121i | ||||
\(425\) | −12.4268 | − | 28.8086i | −0.602790 | − | 1.39742i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.88355 | − | 6.29150i | −0.0911515 | − | 0.304467i | ||||
\(428\) | 35.2777 | − | 4.12338i | 1.70521 | − | 0.199311i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.787992 | + | 13.5293i | 0.0380003 | + | 0.652441i | ||||
\(431\) | 10.8013 | + | 18.7084i | 0.520281 | + | 0.901153i | 0.999722 | + | 0.0235787i | \(0.00750603\pi\) |
−0.479441 | + | 0.877574i | \(0.659161\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −1.99970 | + | 3.46358i | −0.0960993 | + | 0.166449i | −0.910067 | − | 0.414461i | \(-0.863970\pi\) |
0.813968 | + | 0.580910i | \(0.197303\pi\) | |||||||
\(434\) | 9.86445 | + | 4.95412i | 0.473509 | + | 0.237805i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2.90193 | + | 3.89797i | 0.138977 | + | 0.186679i | ||||
\(437\) | −19.2934 | − | 4.57262i | −0.922928 | − | 0.218738i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −18.6380 | + | 25.0352i | −0.889544 | + | 1.19486i | 0.0904630 | + | 0.995900i | \(0.471165\pi\) |
−0.980007 | + | 0.198965i | \(0.936242\pi\) | |||||||
\(440\) | −0.957063 | + | 0.803071i | −0.0456262 | + | 0.0382849i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −60.8697 | − | 51.0758i | −2.89528 | − | 2.42943i | ||||
\(443\) | 1.55899 | − | 0.369487i | 0.0740699 | − | 0.0175549i | −0.193414 | − | 0.981117i | \(-0.561956\pi\) |
0.267484 | + | 0.963562i | \(0.413808\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 8.41576 | + | 5.53513i | 0.398945 | + | 0.262390i | ||||
\(446\) | −13.6937 | − | 9.00647i | −0.648414 | − | 0.426469i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 22.0715 | − | 5.23103i | 1.04278 | − | 0.247143i | ||||
\(449\) | 8.04720 | + | 6.75241i | 0.379771 | + | 0.318666i | 0.812613 | − | 0.582804i | \(-0.198045\pi\) |
−0.432841 | + | 0.901470i | \(0.642489\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.03374 | + | 0.867414i | −0.0486771 | + | 0.0408449i | ||||
\(452\) | 22.6753 | − | 30.4582i | 1.06655 | − | 1.43263i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −28.8847 | − | 6.84579i | −1.35562 | − | 0.321289i | ||||
\(455\) | 3.76667 | + | 5.05951i | 0.176584 | + | 0.237194i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 36.7648 | + | 18.4640i | 1.71979 | + | 0.863709i | 0.982050 | + | 0.188620i | \(0.0604014\pi\) |
0.737736 | + | 0.675089i | \(0.235895\pi\) | |||||||
\(458\) | −17.4005 | + | 30.1385i | −0.813071 | + | 1.40828i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 2.75450 | + | 4.77093i | 0.128429 | + | 0.222446i | ||||
\(461\) | 1.99431 | + | 34.2409i | 0.0928841 | + | 1.59476i | 0.647113 | + | 0.762394i | \(0.275976\pi\) |
−0.554229 | + | 0.832364i | \(0.686987\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 33.1075 | − | 3.86972i | 1.53864 | − | 0.179841i | 0.695890 | − | 0.718149i | \(-0.255010\pi\) |
0.842748 | + | 0.538308i | \(0.180936\pi\) | |||||||
\(464\) | −3.36427 | − | 11.2374i | −0.156182 | − | 0.521685i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −4.61847 | − | 10.7068i | −0.213946 | − | 0.495984i | ||||
\(467\) | −9.76380 | − | 3.55373i | −0.451815 | − | 0.164447i | 0.106082 | − | 0.994357i | \(-0.466169\pi\) |
−0.557897 | + | 0.829910i | \(0.688392\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 2.09681 | − | 0.763177i | 0.0968218 | − | 0.0352402i | ||||
\(470\) | −5.89058 | − | 6.24365i | −0.271712 | − | 0.287998i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 2.98062 | − | 1.49693i | 0.137194 | − | 0.0689016i | ||||
\(473\) | −0.677743 | + | 11.6364i | −0.0311627 | + | 0.535042i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 8.36046 | − | 27.9259i | 0.383604 | − | 1.28133i | ||||
\(476\) | −5.94706 | + | 33.7274i | −0.272583 | + | 1.54589i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −6.09945 | − | 34.5917i | −0.278982 | − | 1.58219i | ||||
\(479\) | −20.1592 | − | 2.35628i | −0.921100 | − | 0.107661i | −0.357691 | − | 0.933840i | \(-0.616436\pi\) |
−0.563408 | + | 0.826179i | \(0.690510\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −5.22949 | + | 5.54293i | −0.238444 | + | 0.252736i | ||||
\(482\) | −20.1556 | + | 46.7259i | −0.918062 | + | 2.12831i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 21.7841 | − | 14.3276i | 0.990184 | − | 0.651255i | ||||
\(485\) | −2.41096 | −0.109476 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −27.5716 | −1.24939 | −0.624694 | − | 0.780870i | \(-0.714776\pi\) | ||||
−0.624694 | + | 0.780870i | \(0.714776\pi\) | |||||||
\(488\) | 4.79108 | − | 3.15114i | 0.216882 | − | 0.142646i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −2.03553 | + | 4.71890i | −0.0919561 | + | 0.213178i | ||||
\(491\) | −7.01152 | + | 7.43178i | −0.316426 | + | 0.335391i | −0.865991 | − | 0.500059i | \(-0.833312\pi\) |
0.549566 | + | 0.835450i | \(0.314793\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 40.0329 | + | 4.67918i | 1.80299 | + | 0.210740i | ||||
\(494\) | −12.8199 | − | 72.7055i | −0.576796 | − | 3.27117i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.959690 | − | 5.44267i | 0.0430914 | − | 0.244383i | ||||
\(497\) | 4.27613 | − | 14.2833i | 0.191811 | − | 0.640692i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0.508397 | − | 8.72884i | 0.0227590 | − | 0.390756i | −0.967623 | − | 0.252399i | \(-0.918781\pi\) |
0.990382 | − | 0.138358i | \(-0.0441824\pi\) | |||||||
\(500\) | −15.1356 | + | 7.60141i | −0.676887 | + | 0.339945i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −36.2641 | − | 38.4377i | −1.61854 | − | 1.71556i | ||||
\(503\) | −12.2947 | + | 4.47489i | −0.548192 | + | 0.199526i | −0.601243 | − | 0.799066i | \(-0.705328\pi\) |
0.0530509 | + | 0.998592i | \(0.483105\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.82525 | + | 1.02831i | 0.125722 | + | 0.0457591i | ||||
\(506\) | 3.24953 | + | 7.53325i | 0.144459 | + | 0.334894i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 8.93590 | + | 29.8480i | 0.396467 | + | 1.32429i | ||||
\(509\) | 30.2154 | − | 3.53167i | 1.33927 | − | 0.156538i | 0.583895 | − | 0.811829i | \(-0.301528\pi\) |
0.755377 | + | 0.655291i | \(0.227454\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.683128 | + | 11.7289i | 0.0302198 | + | 0.518854i | ||||
\(512\) | −10.6866 | − | 18.5097i | −0.472284 | − | 0.818019i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −10.4808 | + | 18.1532i | −0.462287 | + | 0.800705i | ||||
\(515\) | 2.98599 | + | 1.49962i | 0.131578 | + | 0.0660812i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −4.40874 | − | 5.92196i | −0.193896 | − | 0.260448i | ||||
\(518\) | 5.53376 | + | 1.31153i | 0.243139 | + | 0.0576251i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −3.28895 | + | 4.41782i | −0.144230 | + | 0.193734i | ||||
\(521\) | 8.25925 | − | 6.93034i | 0.361845 | − | 0.303624i | −0.443681 | − | 0.896185i | \(-0.646328\pi\) |
0.805525 | + | 0.592561i | \(0.201883\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 9.44644 | + | 7.92650i | 0.413064 | + | 0.346602i | 0.825517 | − | 0.564377i | \(-0.190884\pi\) |
−0.412453 | + | 0.910979i | \(0.635328\pi\) | |||||||
\(524\) | −38.7911 | + | 9.19366i | −1.69460 | + | 0.401627i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −12.0739 | − | 7.94111i | −0.526446 | − | 0.346249i | ||||
\(527\) | 15.8657 | + | 10.4350i | 0.691119 | + | 0.454556i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −12.9283 | + | 3.06406i | −0.562100 | + | 0.133220i | ||||
\(530\) | −9.18367 | − | 7.70601i | −0.398913 | − | 0.334728i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −24.3755 | + | 20.4535i | −1.05681 | + | 0.886772i | ||||
\(533\) | −3.55246 | + | 4.77178i | −0.153874 | + | 0.206689i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −8.17194 | − | 1.93678i | −0.353304 | − | 0.0837345i | ||||
\(536\) | 1.16349 | + | 1.56284i | 0.0502552 | + | 0.0675044i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 57.0992 | + | 28.6763i | 2.46172 | + | 1.23632i | ||||
\(539\) | −2.21009 | + | 3.82798i | −0.0951952 | + | 0.164883i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 7.99279 | + | 13.8439i | 0.343637 | + | 0.595196i | 0.985105 | − | 0.171953i | \(-0.0550078\pi\) |
−0.641468 | + | 0.767149i | \(0.721674\pi\) | |||||||
\(542\) | 2.38843 | + | 41.0078i | 0.102592 | + | 1.76144i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 51.2153 | − | 5.98621i | 2.19584 | − | 0.256657i | ||||
\(545\) | −0.329554 | − | 1.10079i | −0.0141165 | − | 0.0471525i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 0.489796 | + | 1.13547i | 0.0209422 | + | 0.0485494i | 0.928366 | − | 0.371667i | \(-0.121214\pi\) |
−0.907424 | + | 0.420216i | \(0.861954\pi\) | |||||||
\(548\) | 0.952696 | + | 0.346753i | 0.0406972 | + | 0.0148126i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −11.3343 | + | 4.12534i | −0.483295 | + | 0.175905i | ||||
\(551\) | 25.6986 | + | 27.2389i | 1.09480 | + | 1.16042i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 23.3090 | − | 11.7062i | 0.991199 | − | 0.497799i | ||||
\(554\) | −1.77606 | + | 30.4938i | −0.0754577 | + | 1.29556i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −11.7447 | + | 39.2302i | −0.498088 | + | 1.66373i | ||||
\(557\) | 2.28246 | − | 12.9445i | 0.0967109 | − | 0.548475i | −0.897499 | − | 0.441017i | \(-0.854618\pi\) |
0.994210 | − | 0.107458i | \(-0.0342710\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 8.92289 | + | 50.6042i | 0.377398 | + | 2.14033i | ||||
\(560\) | −2.34085 | − | 0.273606i | −0.0989189 | − | 0.0115620i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 32.9689 | − | 34.9450i | 1.39071 | − | 1.47407i | ||||
\(563\) | 2.41169 | − | 5.59094i | 0.101641 | − | 0.235630i | −0.859806 | − | 0.510621i | \(-0.829416\pi\) |
0.961447 | + | 0.274991i | \(0.0886749\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −7.50149 | + | 4.93381i | −0.315590 | + | 0.207567i | ||||
\(566\) | 8.60852 | 0.361843 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 13.0187 | 0.546251 | ||||||||
\(569\) | −13.8505 | + | 9.10960i | −0.580642 | + | 0.381894i | −0.805587 | − | 0.592477i | \(-0.798150\pi\) |
0.224945 | + | 0.974371i | \(0.427780\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 13.8023 | − | 31.9973i | 0.577608 | − | 1.33905i | −0.339574 | − | 0.940579i | \(-0.610283\pi\) |
0.917182 | − | 0.398468i | \(-0.130458\pi\) | |||||||
\(572\) | −12.1069 | + | 12.8326i | −0.506216 | + | 0.536557i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 4.40959 | + | 0.515408i | 0.184053 | + | 0.0215127i | ||||
\(575\) | 2.47981 | + | 14.0637i | 0.103415 | + | 0.586497i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 5.38675 | − | 30.5498i | 0.224254 | − | 1.27180i | −0.639854 | − | 0.768497i | \(-0.721005\pi\) |
0.864107 | − | 0.503308i | \(-0.167884\pi\) | |||||||
\(578\) | −18.6492 | + | 62.2928i | −0.775706 | + | 2.59104i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.604979 | − | 10.3871i | 0.0251204 | − | 0.431301i | ||||
\(581\) | −10.9847 | + | 5.51671i | −0.455721 | + | 0.228872i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −7.07592 | − | 7.50004i | −0.293055 | − | 0.310620i | ||||
\(584\) | −9.63999 | + | 3.50867i | −0.398906 | + | 0.145190i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −16.3102 | − | 5.93644i | −0.673769 | − | 0.245232i | ||||
\(587\) | −17.6431 | − | 40.9013i | −0.728209 | − | 1.68818i | −0.725538 | − | 0.688182i | \(-0.758409\pi\) |
−0.00267106 | − | 0.999996i | \(-0.500850\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 5.06023 | + | 16.9023i | 0.208503 | + | 0.696449i | ||||
\(590\) | −2.91737 | + | 0.340992i | −0.120106 | + | 0.0140384i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.165556 | − | 2.84249i | −0.00680432 | − | 0.116826i | ||||
\(593\) | 9.90549 | + | 17.1568i | 0.406770 | + | 0.704546i | 0.994526 | − | 0.104493i | \(-0.0333219\pi\) |
−0.587756 | + | 0.809038i | \(0.699989\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 4.04899 | − | 7.01306i | 0.165992 | − | 0.287507i | ||||
\(596\) | −2.44393 | − | 1.22739i | −0.100107 | − | 0.0502758i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 21.5977 | + | 29.0108i | 0.883197 | + | 1.18634i | ||||
\(599\) | −27.1755 | − | 6.44071i | −1.11036 | − | 0.263160i | −0.365785 | − | 0.930699i | \(-0.619200\pi\) |
−0.744575 | + | 0.667539i | \(0.767348\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −6.05803 | + | 8.13735i | −0.247112 | + | 0.331929i | −0.908322 | − | 0.418272i | \(-0.862636\pi\) |
0.661210 | + | 0.750201i | \(0.270043\pi\) | |||||||
\(602\) | 29.3761 | − | 24.6495i | 1.19728 | − | 1.00464i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.0411194 | + | 0.0345033i | 0.00167313 | + | 0.00140392i | ||||
\(605\) | −5.99897 | + | 1.42178i | −0.243893 | + | 0.0578036i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −9.03698 | − | 5.94371i | −0.366800 | − | 0.241248i | 0.352706 | − | 0.935734i | \(-0.385261\pi\) |
−0.719506 | + | 0.694486i | \(0.755632\pi\) | |||||||
\(608\) | 40.0272 | + | 26.3263i | 1.62332 | + | 1.06767i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −4.91379 | + | 1.16459i | −0.198954 | + | 0.0471529i | ||||
\(611\) | −24.9321 | − | 20.9205i | −1.00865 | − | 0.846355i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 4.13859 | − | 3.47269i | 0.167156 | − | 0.140261i | −0.555372 | − | 0.831602i | \(-0.687424\pi\) |
0.722528 | + | 0.691341i | \(0.242980\pi\) | |||||||
\(614\) | −2.70762 | + | 3.63696i | −0.109270 | + | 0.146776i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.43993 | + | 0.815278i | 0.138599 | + | 0.0328485i | ||||
\(617\) | −14.9530 | − | 20.0854i | −0.601986 | − | 0.808608i | 0.391784 | − | 0.920057i | \(-0.371858\pi\) |
−0.993770 | + | 0.111450i | \(0.964451\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 22.7743 | + | 11.4377i | 0.915376 | + | 0.459719i | 0.843156 | − | 0.537669i | \(-0.180695\pi\) |
0.0722206 | + | 0.997389i | \(0.476991\pi\) | |||||||
\(620\) | 2.45106 | − | 4.24535i | 0.0984368 | − | 0.170498i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 16.3342 | + | 28.2917i | 0.654943 | + | 1.13439i | ||||
\(623\) | −1.65727 | − | 28.4543i | −0.0663973 | − | 1.14000i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −18.7775 | + | 2.19478i | −0.751102 | + | 0.0877912i | ||||
\(626\) | −3.17687 | − | 10.6115i | −0.126973 | − | 0.424120i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −8.45183 | − | 19.5936i | −0.337265 | − | 0.781868i | ||||
\(629\) | 9.19342 | + | 3.34613i | 0.366566 | + | 0.133419i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −18.7709 | + | 6.83203i | −0.747256 | + | 0.271979i | −0.687451 | − | 0.726231i | \(-0.741270\pi\) |
−0.0598054 | + | 0.998210i | \(0.519048\pi\) | |||||||
\(632\) | 15.6294 | + | 16.5662i | 0.621702 | + | 0.658966i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −53.8748 | + | 27.0570i | −2.13964 | + | 1.07457i | ||||
\(635\) | 0.428361 | − | 7.35468i | 0.0169990 | − | 0.291862i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −5.58862 | + | 18.6673i | −0.221429 | + | 0.739625i | ||||
\(638\) | 2.69069 | − | 15.2597i | 0.106526 | − | 0.604137i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.33792 | − | 7.58769i | −0.0528857 | − | 0.299930i | ||||
\(641\) | 8.86918 | + | 1.03666i | 0.350312 | + | 0.0409456i | 0.289429 | − | 0.957199i | \(-0.406534\pi\) |
0.0608823 | + | 0.998145i | \(0.480609\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −9.19558 | + | 9.74674i | −0.362638 | + | 0.384374i | −0.882844 | − | 0.469667i | \(-0.844374\pi\) |
0.520205 | + | 0.854041i | \(0.325855\pi\) | |||||||
\(644\) | 6.17427 | − | 14.3136i | 0.243300 | − | 0.564033i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −79.1890 | + | 52.0834i | −3.11565 | + | 2.04920i | ||||
\(647\) | −48.7223 | −1.91547 | −0.957736 | − | 0.287649i | \(-0.907126\pi\) | ||||
−0.957736 | + | 0.287649i | \(0.907126\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −2.52628 | −0.0991653 | ||||||||
\(650\) | −44.4251 | + | 29.2189i | −1.74250 | + | 1.14606i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −16.6715 | + | 38.6489i | −0.652906 | + | 1.51361i | ||||
\(653\) | −3.29734 | + | 3.49498i | −0.129035 | + | 0.136769i | −0.788669 | − | 0.614818i | \(-0.789230\pi\) |
0.659634 | + | 0.751587i | \(0.270711\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 9.36262 | + | 1.09433i | 0.365828 | + | 0.0427592i | ||||
\(656\) | −0.385978 | − | 2.18899i | −0.0150699 | − | 0.0854656i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −4.21775 | + | 23.9201i | −0.164425 | + | 0.932501i | ||||
\(659\) | 7.25407 | − | 24.2303i | 0.282579 | − | 0.943878i | −0.692388 | − | 0.721526i | \(-0.743441\pi\) |
0.974966 | − | 0.222352i | \(-0.0713736\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0.821956 | − | 14.1124i | 0.0319704 | − | 0.548910i | −0.943855 | − | 0.330359i | \(-0.892830\pi\) |
0.975826 | − | 0.218551i | \(-0.0701329\pi\) | |||||||
\(662\) | 53.0213 | − | 26.6283i | 2.06073 | − | 1.03494i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −7.36555 | − | 7.80703i | −0.285839 | − | 0.302971i | ||||
\(665\) | 7.07019 | − | 2.57334i | 0.274170 | − | 0.0997898i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −17.2393 | − | 6.27461i | −0.667510 | − | 0.242954i | ||||
\(668\) | 3.95792 | + | 9.17550i | 0.153137 | + | 0.355011i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.492094 | − | 1.64371i | −0.0190112 | − | 0.0635020i | ||||
\(671\) | −4.31401 | + | 0.504235i | −0.166540 | + | 0.0194658i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −0.155093 | − | 2.66284i | −0.00597839 | − | 0.102645i | 0.993999 | − | 0.109390i | \(-0.0348899\pi\) |
−0.999977 | + | 0.00674548i | \(0.997853\pi\) | |||||||
\(674\) | 13.8366 | + | 23.9656i | 0.532965 | + | 0.923122i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −21.1154 | + | 36.5730i | −0.812131 | + | 1.40665i | ||||
\(677\) | −13.1923 | − | 6.62542i | −0.507021 | − | 0.254636i | 0.176851 | − | 0.984238i | \(-0.443409\pi\) |
−0.683872 | + | 0.729602i | \(0.739705\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 4.07390 | + | 5.47220i | 0.156342 | + | 0.210004i | ||||
\(680\) | 6.88033 | + | 1.63067i | 0.263849 | + | 0.0625333i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 4.35951 | − | 5.85584i | 0.166934 | − | 0.224232i | ||||
\(683\) | −16.0712 | + | 13.4854i | −0.614948 | + | 0.516003i | −0.896211 | − | 0.443628i | \(-0.853691\pi\) |
0.281263 | + | 0.959631i | \(0.409247\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −0.183640 | − | 0.154092i | −0.00701653 | − | 0.00588756i | ||||
\(686\) | 41.2611 | − | 9.77905i | 1.57535 | − | 0.373366i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −16.0408 | − | 10.5502i | −0.611552 | − | 0.402224i | ||||
\(689\) | −37.9775 | − | 24.9782i | −1.44683 | − | 0.951594i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 33.8949 | − | 8.03323i | 1.28942 | − | 0.305598i | 0.471979 | − | 0.881610i | \(-0.343540\pi\) |
0.817442 | + | 0.576011i | \(0.195392\pi\) | |||||||
\(692\) | 27.8199 | + | 23.3437i | 1.05755 | + | 0.887394i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 14.0227 | − | 11.7664i | 0.532294 | − | 0.446648i | ||||
\(695\) | 5.78221 | − | 7.76686i | 0.219332 | − | 0.294614i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 7.43159 | + | 1.76132i | 0.281492 | + | 0.0667147i | ||||
\(698\) | 39.1651 | + | 52.6079i | 1.48242 | + | 1.99124i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 20.4801 | + | 10.2855i | 0.774075 | + | 0.388755i | ||||
\(701\) | 21.8053 | − | 37.7679i | 0.823576 | − | 1.42647i | −0.0794276 | − | 0.996841i | \(-0.525309\pi\) |
0.903003 | − | 0.429634i | \(-0.141357\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 4.54496 | + | 7.87209i | 0.171416 | + | 0.296902i | ||||
\(704\) | −0.872254 | − | 14.9760i | −0.0328743 | − | 0.564430i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −50.2052 | + | 5.86815i | −1.88950 | + | 0.220851i | ||||
\(707\) | −2.43997 | − | 8.15008i | −0.0917647 | − | 0.306515i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 7.23533 | + | 16.7734i | 0.271728 | + | 0.629937i | 0.998370 | − | 0.0570799i | \(-0.0181790\pi\) |
−0.726641 | + | 0.687017i | \(0.758920\pi\) | |||||||
\(710\) | −10.7731 | − | 3.92111i | −0.404309 | − | 0.147156i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 23.3867 | − | 8.51206i | 0.876453 | − | 0.319003i | ||||
\(713\) | −5.93152 | − | 6.28704i | −0.222137 | − | 0.235452i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.72787 | − | 1.87221i | 0.139414 | − | 0.0700165i | ||||
\(716\) | −0.0664428 | + | 1.14078i | −0.00248308 | + | 0.0426329i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −2.60097 | + | 8.68786i | −0.0970675 | + | 0.324228i | ||||
\(719\) | −3.15002 | + | 17.8647i | −0.117476 | + | 0.666240i | 0.868018 | + | 0.496532i | \(0.165393\pi\) |
−0.985494 | + | 0.169708i | \(0.945718\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −1.64184 | − | 9.31131i | −0.0611451 | − | 0.346771i | ||||
\(722\) | −46.4067 | − | 5.42417i | −1.72708 | − | 0.201867i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −39.1113 | + | 41.4555i | −1.45356 | + | 1.54068i | ||||
\(725\) | 10.6829 | − | 24.7657i | 0.396752 | − | 0.919774i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −16.9219 | + | 11.1297i | −0.627599 | + | 0.412778i | −0.823077 | − | 0.567930i | \(-0.807744\pi\) |
0.195478 | + | 0.980708i | \(0.437374\pi\) | |||||||
\(728\) | 15.5847 | 0.577606 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 9.03402 | 0.334364 | ||||||||
\(731\) | 55.1169 | − | 36.2509i | 2.03857 | − | 1.34079i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −0.700264 | + | 1.62339i | −0.0258648 | + | 0.0599615i | −0.930659 | − | 0.365888i | \(-0.880765\pi\) |
0.904794 | + | 0.425849i | \(0.140025\pi\) | |||||||
\(734\) | 17.5010 | − | 18.5500i | 0.645974 | − | 0.684693i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −23.3115 | − | 2.72473i | −0.859274 | − | 0.100435i | ||||
\(737\) | −0.256258 | − | 1.45331i | −0.00943939 | − | 0.0535334i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1.58340 | + | 8.97988i | −0.0582461 | + | 0.330330i | −0.999982 | − | 0.00602346i | \(-0.998083\pi\) |
0.941736 | + | 0.336354i | \(0.109194\pi\) | |||||||
\(740\) | 0.724337 | − | 2.41946i | 0.0266272 | − | 0.0889409i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −1.97244 | + | 33.8654i | −0.0724104 | + | 1.24324i | ||||
\(743\) | −17.8025 | + | 8.94076i | −0.653111 | + | 0.328005i | −0.744316 | − | 0.667827i | \(-0.767224\pi\) |
0.0912051 | + | 0.995832i | \(0.470928\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.443764 | + | 0.470363i | 0.0162583 | + | 0.0172327i | ||||
\(746\) | −74.3653 | + | 27.0667i | −2.72271 | + | 0.990984i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 21.2839 | + | 7.74671i | 0.778217 | + | 0.283248i | ||||
\(749\) | 9.41249 | + | 21.8206i | 0.343925 | + | 0.797308i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 11.0579 | + | 36.9360i | 0.403509 | + | 1.34781i | 0.882631 | + | 0.470066i | \(0.155770\pi\) |
−0.479122 | + | 0.877748i | \(0.659045\pi\) | |||||||
\(752\) | 12.0784 | − | 1.41177i | 0.440456 | − | 0.0514819i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −3.97179 | − | 68.1930i | −0.144644 | − | 2.48344i | ||||
\(755\) | −0.00634611 | − | 0.0109918i | −0.000230959 | − | 0.000400032i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 25.4729 | − | 44.1204i | 0.925829 | − | 1.60358i | 0.135606 | − | 0.990763i | \(-0.456702\pi\) |
0.790223 | − | 0.612820i | \(-0.209965\pi\) | |||||||
\(758\) | −19.5415 | − | 9.81413i | −0.709781 | − | 0.356465i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 3.92315 | + | 5.26970i | 0.142307 | + | 0.191152i | ||||
\(761\) | 37.8907 | + | 8.98027i | 1.37354 | + | 0.325534i | 0.850141 | − | 0.526555i | \(-0.176516\pi\) |
0.523397 | + | 0.852089i | \(0.324665\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.94161 | + | 2.60804i | −0.0702911 | + | 0.0944173i | ||||
\(764\) | 14.4293 | − | 12.1076i | 0.522033 | − | 0.438038i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −0.504379 | − | 0.423224i | −0.0182239 | − | 0.0152917i | ||||
\(767\) | −10.8367 | + | 2.56834i | −0.391290 | + | 0.0927373i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −28.5331 | − | 18.7665i | −1.02893 | − | 0.676739i | −0.0814918 | − | 0.996674i | \(-0.525968\pi\) |
−0.947439 | + | 0.319935i | \(0.896339\pi\) | |||||||
\(770\) | −2.60104 | − | 1.71073i | −0.0937349 | − | 0.0616504i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −23.2692 | + | 5.51490i | −0.837476 | + | 0.198485i | ||||
\(773\) | −2.31945 | − | 1.94625i | −0.0834247 | − | 0.0700016i | 0.600122 | − | 0.799909i | \(-0.295119\pi\) |
−0.683546 | + | 0.729907i | \(0.739563\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 9.73449 | − | 8.16820i | 0.349673 | − | 0.293411i | ||||
\(776\) | −3.55722 | + | 4.77817i | −0.127697 | + | 0.171526i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 15.9200 | + | 3.77312i | 0.570761 | + | 0.135273i | ||||
\(779\) | 4.23747 | + | 5.69191i | 0.151823 | + | 0.203934i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −8.81169 | − | 4.42540i | −0.315307 | − | 0.158353i | ||||
\(782\) | 23.2165 | − | 40.2122i | 0.830222 | − | 1.43799i | ||||
\(783\) | 0 | 0 |