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 | 28.8 | ||
Character | \(\chi\) | \(=\) | 729.28 |
Dual form | 729.2.g.b.703.8 |
$q$-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 | 0.291612 | − | 0.956537i | \(-0.405808\pi\) |
0.993809 | + | 0.111102i | \(0.0354381\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.08293 | − | 2.51052i | 0.541467 | − | 1.25526i | ||||
\(5\) | 0.443651 | − | 0.470242i | 0.198407 | − | 0.210299i | −0.620530 | − | 0.784183i | \(-0.713082\pi\) |
0.818937 | + | 0.573884i | \(0.194564\pi\) | |||||||
\(6\) | 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 | −0.994231 | − | 0.107264i | \(-0.965791\pi\) |
0.889610 | + | 0.456720i | \(0.150976\pi\) | |||||||
\(12\) | 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 | 0.589693 | − | 0.807628i | \(-0.299249\pi\) |
0.970864 | + | 0.239631i | \(0.0770266\pi\) | |||||||
\(18\) | 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 | −0.432530 | − | 0.901619i | \(-0.642379\pi\) |
−0.212944 | + | 0.977064i | \(0.568305\pi\) | |||||||
\(24\) | 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 | 0.864241 | − | 0.503077i | \(-0.167799\pi\) |
0.112559 | + | 0.993645i | \(0.464095\pi\) | |||||||
\(30\) | 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 | 0.620190 | − | 0.784452i | \(-0.287055\pi\) |
−0.474651 | + | 0.880174i | \(0.657426\pi\) | |||||||
\(42\) | 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 | −0.984073 | − | 0.177764i | \(-0.943114\pi\) |
0.452532 | + | 0.891748i | \(0.350521\pi\) | |||||||
\(48\) | 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 | \(0.365706\pi\) |
−0.994833 | + | 0.101528i | \(0.967627\pi\) | |||||||
\(54\) | 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 | 0.988082 | − | 0.153927i | \(-0.0491921\pi\) |
−0.910115 | + | 0.414356i | \(0.864007\pi\) | |||||||
\(60\) | 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 | \(0.216237\pi\) |
−0.945957 | + | 0.324293i | \(0.894874\pi\) | |||||||
\(72\) | 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 | −0.202669 | − | 0.979247i | \(-0.564961\pi\) |
0.818888 | + | 0.573954i | \(0.194591\pi\) | |||||||
\(84\) | 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 | \(0.253709\pi\) |
−0.412030 | + | 0.911170i | \(0.635180\pi\) | |||||||
\(90\) | 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 | 0.984943 | − | 0.172880i | \(-0.0553072\pi\) |
−0.801657 | + | 0.597784i | \(0.796048\pi\) | |||||||
\(102\) | 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 | \(-0.950572\pi\) |
0.360046 | − | 0.932935i | \(-0.382761\pi\) | |||||||
\(108\) | 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 | −0.461023 | − | 0.887388i | \(-0.652517\pi\) |
−0.810244 | + | 0.586092i | \(0.800666\pi\) | |||||||
\(114\) | 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 | \(0.0161058\pi\) |
−0.237985 | + | 0.971269i | \(0.576487\pi\) | |||||||
\(132\) | 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 | 0.997262 | − | 0.0739509i | \(-0.0235608\pi\) |
−0.999104 | + | 0.0423242i | \(0.986524\pi\) | |||||||
\(138\) | 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 | −0.999852 | − | 0.0171933i | \(-0.994527\pi\) |
0.995088 | + | 0.0989987i | \(0.0315640\pi\) | |||||||
\(150\) | 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 | −0.623024 | − | 0.782203i | \(-0.714096\pi\) |
0.817105 | + | 0.576489i | \(0.195577\pi\) | |||||||
\(168\) | 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 | \(-0.738926\pi\) |
0.971715 | − | 0.236158i | \(-0.0758884\pi\) | |||||||
\(174\) | 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 | −0.327301 | − | 0.944920i | \(-0.606139\pi\) |
0.356656 | + | 0.934236i | \(0.383917\pi\) | |||||||
\(180\) | 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 | 0.211903 | − | 0.977291i | \(-0.432034\pi\) |
−0.657368 | + | 0.753570i | \(0.728330\pi\) | |||||||
\(192\) | 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 | −0.382476 | − | 0.923965i | \(-0.624929\pi\) |
0.843512 | + | 0.537111i | \(0.180484\pi\) | |||||||
\(198\) | 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 | 0.337843 | − | 0.941202i | \(-0.390303\pi\) |
−0.959254 | + | 0.282546i | \(0.908821\pi\) | |||||||
\(228\) | 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 | \(-0.888276\pi\) |
0.999998 | − | 0.00192589i | \(-0.000613031\pi\) | |||||||
\(234\) | 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 | \(-0.695511\pi\) |
0.989922 | − | 0.141615i | \(-0.0452294\pi\) | |||||||
\(240\) | 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 | \(-0.777552\pi\) |
0.499385 | − | 0.866380i | \(-0.333559\pi\) | |||||||
\(252\) | 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 | −0.696573 | − | 0.717485i | \(-0.745293\pi\) |
0.159547 | + | 0.987190i | \(0.448997\pi\) | |||||||
\(258\) | 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 | 0.817651 | − | 0.575715i | \(-0.195276\pi\) |
−0.979866 | + | 0.199658i | \(0.936017\pi\) | |||||||
\(264\) | 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 | \(0.186337\pi\) |
0.0617568 | + | 0.998091i | \(0.480330\pi\) | |||||||
\(270\) | 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 | 0.467316 | − | 0.884091i | \(-0.345221\pi\) |
0.814388 | + | 0.580321i | \(0.197073\pi\) | |||||||
\(282\) | 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 | 0.640894 | − | 0.767630i | \(-0.278564\pi\) |
−0.919192 | + | 0.393811i | \(0.871157\pi\) | |||||||
\(294\) | 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 | \(0.158489\pi\) |
−0.928088 | + | 0.372361i | \(0.878548\pi\) | |||||||
\(312\) | 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 | −0.699940 | − | 0.714202i | \(-0.746790\pi\) |
−0.845779 | + | 0.533533i | \(0.820864\pi\) | |||||||
\(318\) | 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 | 0.111199 | − | 0.993798i | \(-0.464531\pi\) |
0.337387 | + | 0.941366i | \(0.390457\pi\) | |||||||
\(348\) | 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 | −0.199729 | − | 0.979851i | \(-0.564006\pi\) |
−0.905231 | + | 0.424919i | \(0.860302\pi\) | |||||||
\(354\) | 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 | −0.723145 | − | 0.690696i | \(-0.757304\pi\) |
0.554630 | + | 0.832097i | \(0.312860\pi\) | |||||||
\(360\) | 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 | 0.955744 | − | 0.294201i | \(-0.0950536\pi\) |
−0.960178 | + | 0.279388i | \(0.909868\pi\) | |||||||
\(384\) | 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 | 0.844852 | − | 0.535000i | \(-0.179688\pi\) |
−0.583218 | + | 0.812315i | \(0.698207\pi\) | |||||||
\(390\) | 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 | −0.998117 | − | 0.0613379i | \(-0.980463\pi\) |
0.729565 | + | 0.683911i | \(0.239723\pi\) | |||||||
\(402\) | 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 | 0.0417867 | − | 0.999127i | \(-0.486695\pi\) |
0.826376 | + | 0.563119i | \(0.190399\pi\) | |||||||
\(420\) | 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 | \(-0.992494\pi\) |
0.479441 | − | 0.877574i | \(-0.340839\pi\) | |||||||
\(432\) | 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 | −0.267484 | − | 0.963562i | \(-0.586192\pi\) |
0.193414 | + | 0.981117i | \(0.438044\pi\) | |||||||
\(444\) | 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 | 0.432841 | − | 0.901470i | \(-0.357511\pi\) |
−0.812613 | + | 0.582804i | \(0.801955\pi\) | |||||||
\(450\) | 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 | \(-0.724024\pi\) |
0.554229 | − | 0.832364i | \(-0.313013\pi\) | |||||||
\(462\) | 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 | 0.557897 | − | 0.829910i | \(-0.311608\pi\) |
−0.106082 | + | 0.994357i | \(0.533831\pi\) | |||||||
\(468\) | 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 | 0.563408 | − | 0.826179i | \(-0.309490\pi\) |
0.357691 | + | 0.933840i | \(0.383564\pi\) | |||||||
\(480\) | 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 | −0.549566 | − | 0.835450i | \(-0.685207\pi\) |
0.865991 | + | 0.500059i | \(0.166688\pi\) | |||||||
\(492\) | 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 | −0.0530509 | − | 0.998592i | \(-0.516895\pi\) |
0.601243 | + | 0.799066i | \(0.294672\pi\) | |||||||
\(504\) | 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 | −0.755377 | − | 0.655291i | \(-0.772546\pi\) |
−0.583895 | + | 0.811829i | \(0.698472\pi\) | |||||||
\(510\) | 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 | −0.805525 | − | 0.592561i | \(-0.798117\pi\) |
0.443681 | + | 0.896185i | \(0.353672\pi\) | |||||||
\(522\) | 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 | \(0.145382\pi\) |
−0.994210 | + | 0.107458i | \(0.965729\pi\) | |||||||
\(558\) | 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 | −0.961447 | − | 0.274991i | \(-0.911325\pi\) |
0.859806 | + | 0.510621i | \(0.170584\pi\) | |||||||
\(564\) | 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 | −0.224945 | − | 0.974371i | \(-0.572220\pi\) |
0.805587 | + | 0.592477i | \(0.201850\pi\) | |||||||
\(570\) | 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 | \(0.241591\pi\) |
0.00267106 | + | 0.999996i | \(0.499150\pi\) | |||||||
\(588\) | 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 | 0.587756 | − | 0.809038i | \(-0.300011\pi\) |
−0.994526 | + | 0.104493i | \(0.966678\pi\) | |||||||
\(594\) | 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 | 0.744575 | − | 0.667539i | \(-0.232652\pi\) |
0.365785 | + | 0.930699i | \(0.380800\pi\) | |||||||
\(600\) | 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 | 0.993770 | − | 0.111450i | \(-0.0355494\pi\) |
−0.391784 | + | 0.920057i | \(0.628142\pi\) | |||||||
\(618\) | 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 | −0.0608823 | − | 0.998145i | \(-0.519391\pi\) |
−0.289429 | + | 0.957199i | \(0.593466\pi\) | |||||||
\(642\) | 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 | \(-0.0928736\pi\) | ||||
0.957736 | + | 0.287649i | \(0.0928736\pi\) | |||||||
\(648\) | 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 | −0.659634 | − | 0.751587i | \(-0.729289\pi\) |
0.788669 | + | 0.614818i | \(0.210770\pi\) | |||||||
\(654\) | 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 | \(0.256559\pi\) |
−0.974966 | + | 0.222352i | \(0.928626\pi\) | |||||||
\(660\) | 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 | 0.683872 | − | 0.729602i | \(-0.260295\pi\) |
−0.176851 | + | 0.984238i | \(0.556591\pi\) | |||||||
\(678\) | 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 | −0.281263 | − | 0.959631i | \(-0.590753\pi\) |
0.896211 | + | 0.443628i | \(0.146309\pi\) | |||||||
\(684\) | 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 | \(0.474691\pi\) |
−0.903003 | + | 0.429634i | \(0.858643\pi\) | |||||||
\(702\) | 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 | \(-0.834607\pi\) |
0.985494 | − | 0.169708i | \(-0.0542824\pi\) | |||||||
\(720\) | 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 | −0.0912051 | − | 0.995832i | \(-0.529072\pi\) |
0.744316 | + | 0.667827i | \(0.232776\pi\) | |||||||
\(744\) | 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 | −0.523397 | − | 0.852089i | \(-0.675335\pi\) |
−0.850141 | + | 0.526555i | \(0.823484\pi\) | |||||||
\(762\) | 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 | 0.683546 | − | 0.729907i | \(-0.260437\pi\) |
−0.600122 | + | 0.799909i | \(0.704881\pi\) | |||||||
\(774\) | 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 |