Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [322,2,Mod(9,322)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(322, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([22, 30]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("322.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 322 = 2 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 322.m (of order \(33\), degree \(20\), 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: | \(2.57118294509\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 39.3 | ||
Character | \(\chi\) | \(=\) | 322.39 |
Dual form | 322.2.m.a.289.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{4}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.981929 | − | 0.189251i | −0.694328 | − | 0.133821i | ||||
\(3\) | −0.0679970 | − | 1.42743i | −0.0392581 | − | 0.824129i | −0.929540 | − | 0.368720i | \(-0.879796\pi\) |
0.890282 | − | 0.455409i | \(-0.150507\pi\) | |||||||
\(4\) | 0.928368 | + | 0.371662i | 0.464184 | + | 0.185831i | ||||
\(5\) | −1.39707 | + | 1.96191i | −0.624789 | + | 0.877394i | −0.998747 | − | 0.0500521i | \(-0.984061\pi\) |
0.373957 | + | 0.927446i | \(0.378001\pi\) | |||||||
\(6\) | −0.203375 | + | 1.41451i | −0.0830276 | + | 0.577470i | ||||
\(7\) | 2.62689 | − | 0.315333i | 0.992872 | − | 0.119185i | ||||
\(8\) | −0.841254 | − | 0.540641i | −0.297428 | − | 0.191145i | ||||
\(9\) | 0.953474 | − | 0.0910457i | 0.317825 | − | 0.0303486i | ||||
\(10\) | 1.74312 | − | 1.66206i | 0.551223 | − | 0.525590i | ||||
\(11\) | −1.53464 | + | 0.295777i | −0.462711 | + | 0.0891802i | −0.415279 | − | 0.909694i | \(-0.636316\pi\) |
−0.0474322 | + | 0.998874i | \(0.515104\pi\) | |||||||
\(12\) | 0.467397 | − | 1.35046i | 0.134926 | − | 0.389843i | ||||
\(13\) | 1.06533 | + | 0.312808i | 0.295469 | + | 0.0867574i | 0.426107 | − | 0.904673i | \(-0.359885\pi\) |
−0.130639 | + | 0.991430i | \(0.541703\pi\) | |||||||
\(14\) | −2.63910 | − | 0.187508i | −0.705329 | − | 0.0501137i | ||||
\(15\) | 2.89550 | + | 1.86082i | 0.747614 | + | 0.480462i | ||||
\(16\) | 0.723734 | + | 0.690079i | 0.180934 | + | 0.172520i | ||||
\(17\) | 5.47360 | + | 4.30448i | 1.32754 | + | 1.04399i | 0.994892 | + | 0.100941i | \(0.0321852\pi\) |
0.332650 | + | 0.943050i | \(0.392057\pi\) | |||||||
\(18\) | −0.953474 | − | 0.0910457i | −0.224736 | − | 0.0214597i | ||||
\(19\) | 3.12571 | − | 2.45808i | 0.717086 | − | 0.563923i | −0.191565 | − | 0.981480i | \(-0.561356\pi\) |
0.908651 | + | 0.417557i | \(0.137114\pi\) | |||||||
\(20\) | −2.02617 | + | 1.30214i | −0.453064 | + | 0.291167i | ||||
\(21\) | −0.628737 | − | 3.72827i | −0.137202 | − | 0.813576i | ||||
\(22\) | 1.56288 | 0.333208 | ||||||||
\(23\) | −1.90065 | − | 4.40313i | −0.396313 | − | 0.918115i | ||||
\(24\) | −0.714526 | + | 1.23760i | −0.145852 | + | 0.252623i | ||||
\(25\) | −0.261951 | − | 0.756858i | −0.0523902 | − | 0.151372i | ||||
\(26\) | −0.986876 | − | 0.508770i | −0.193542 | − | 0.0997780i | ||||
\(27\) | −0.804921 | − | 5.59835i | −0.154907 | − | 1.07740i | ||||
\(28\) | 2.55592 | + | 0.683572i | 0.483024 | + | 0.129183i | ||||
\(29\) | 0.543609 | − | 3.78088i | 0.100946 | − | 0.702092i | −0.875007 | − | 0.484110i | \(-0.839143\pi\) |
0.975953 | − | 0.217982i | \(-0.0699475\pi\) | |||||||
\(30\) | −2.49101 | − | 2.37517i | −0.454794 | − | 0.433645i | ||||
\(31\) | 9.06122 | − | 4.67138i | 1.62744 | − | 0.839005i | 0.629360 | − | 0.777114i | \(-0.283317\pi\) |
0.998083 | − | 0.0618909i | \(-0.0197131\pi\) | |||||||
\(32\) | −0.580057 | − | 0.814576i | −0.102541 | − | 0.143998i | ||||
\(33\) | 0.526553 | + | 2.17048i | 0.0916612 | + | 0.377832i | ||||
\(34\) | −4.56005 | − | 5.26258i | −0.782043 | − | 0.902525i | ||||
\(35\) | −3.05130 | + | 5.59428i | −0.515764 | + | 0.945605i | ||||
\(36\) | 0.919013 | + | 0.269846i | 0.153169 | + | 0.0449744i | ||||
\(37\) | −2.67550 | + | 0.255479i | −0.439849 | + | 0.0420005i | −0.312632 | − | 0.949874i | \(-0.601211\pi\) |
−0.127217 | + | 0.991875i | \(0.540605\pi\) | |||||||
\(38\) | −3.53442 | + | 1.82212i | −0.573358 | + | 0.295587i | ||||
\(39\) | 0.374074 | − | 1.54195i | 0.0598998 | − | 0.246910i | ||||
\(40\) | 2.23598 | − | 0.895152i | 0.353540 | − | 0.141536i | ||||
\(41\) | −0.0356016 | − | 0.0779566i | −0.00556004 | − | 0.0121748i | 0.906832 | − | 0.421493i | \(-0.138494\pi\) |
−0.912392 | + | 0.409318i | \(0.865767\pi\) | |||||||
\(42\) | −0.0882048 | + | 3.77989i | −0.0136103 | + | 0.583249i | ||||
\(43\) | −7.17261 | + | 4.60955i | −1.09381 | + | 0.702951i | −0.957707 | − | 0.287744i | \(-0.907095\pi\) |
−0.136105 | + | 0.990694i | \(0.543458\pi\) | |||||||
\(44\) | −1.53464 | − | 0.295777i | −0.231355 | − | 0.0445901i | ||||
\(45\) | −1.15345 | + | 1.99783i | −0.171946 | + | 0.297819i | ||||
\(46\) | 1.03301 | + | 4.68326i | 0.152308 | + | 0.690509i | ||||
\(47\) | 3.71869 | + | 6.44095i | 0.542426 | + | 0.939510i | 0.998764 | + | 0.0497031i | \(0.0158275\pi\) |
−0.456338 | + | 0.889807i | \(0.650839\pi\) | |||||||
\(48\) | 0.935830 | − | 1.08001i | 0.135075 | − | 0.155885i | ||||
\(49\) | 6.80113 | − | 1.65669i | 0.971590 | − | 0.236670i | ||||
\(50\) | 0.113981 | + | 0.792755i | 0.0161193 | + | 0.112113i | ||||
\(51\) | 5.77218 | − | 8.10589i | 0.808266 | − | 1.13505i | ||||
\(52\) | 0.872757 | + | 0.686344i | 0.121030 | + | 0.0951787i | ||||
\(53\) | −1.73232 | + | 7.14073i | −0.237953 | + | 0.980855i | 0.720010 | + | 0.693963i | \(0.244137\pi\) |
−0.957963 | + | 0.286892i | \(0.907378\pi\) | |||||||
\(54\) | −0.269119 | + | 5.64951i | −0.0366225 | + | 0.768801i | ||||
\(55\) | 1.56371 | − | 3.42405i | 0.210851 | − | 0.461699i | ||||
\(56\) | −2.38036 | − | 1.15493i | −0.318090 | − | 0.154334i | ||||
\(57\) | −3.72129 | − | 4.29459i | −0.492896 | − | 0.568833i | ||||
\(58\) | −1.24932 | + | 3.60968i | −0.164044 | + | 0.473974i | ||||
\(59\) | 4.81029 | − | 4.58661i | 0.626247 | − | 0.597125i | −0.309026 | − | 0.951054i | \(-0.600003\pi\) |
0.935272 | + | 0.353928i | \(0.115154\pi\) | |||||||
\(60\) | 1.99649 | + | 2.80367i | 0.257745 | + | 0.361953i | ||||
\(61\) | −0.423137 | + | 8.88273i | −0.0541771 | + | 1.13732i | 0.794108 | + | 0.607777i | \(0.207938\pi\) |
−0.848285 | + | 0.529540i | \(0.822365\pi\) | |||||||
\(62\) | −9.78153 | + | 2.87212i | −1.24226 | + | 0.364759i | ||||
\(63\) | 2.47596 | − | 0.539829i | 0.311942 | − | 0.0680120i | ||||
\(64\) | 0.415415 | + | 0.909632i | 0.0519269 | + | 0.113704i | ||||
\(65\) | −2.10204 | + | 1.65306i | −0.260726 | + | 0.205037i | ||||
\(66\) | −0.106271 | − | 2.23091i | −0.0130811 | − | 0.274606i | ||||
\(67\) | −1.70830 | − | 4.93582i | −0.208703 | − | 0.603006i | 0.791262 | − | 0.611478i | \(-0.209425\pi\) |
−0.999964 | + | 0.00847143i | \(0.997303\pi\) | |||||||
\(68\) | 3.48170 | + | 6.03048i | 0.422218 | + | 0.731303i | ||||
\(69\) | −6.15593 | + | 3.01245i | −0.741087 | + | 0.362657i | ||||
\(70\) | 4.05488 | − | 4.91572i | 0.484651 | − | 0.587541i | ||||
\(71\) | −9.60732 | + | 11.0874i | −1.14018 | + | 1.31584i | −0.198202 | + | 0.980161i | \(0.563510\pi\) |
−0.941977 | + | 0.335676i | \(0.891035\pi\) | |||||||
\(72\) | −0.851336 | − | 0.438894i | −0.100331 | − | 0.0517242i | ||||
\(73\) | −13.3466 | − | 5.34319i | −1.56211 | − | 0.625373i | −0.580154 | − | 0.814506i | \(-0.697008\pi\) |
−0.981951 | + | 0.189134i | \(0.939432\pi\) | |||||||
\(74\) | 2.67550 | + | 0.255479i | 0.311020 | + | 0.0296988i | ||||
\(75\) | −1.06255 | + | 0.425382i | −0.122693 | + | 0.0491189i | ||||
\(76\) | 3.81538 | − | 1.12030i | 0.437654 | − | 0.128507i | ||||
\(77\) | −3.93806 | + | 1.26090i | −0.448784 | + | 0.143693i | ||||
\(78\) | −0.659131 | + | 1.44330i | −0.0746319 | + | 0.163421i | ||||
\(79\) | 3.33521 | + | 13.7479i | 0.375240 | + | 1.54676i | 0.776093 | + | 0.630618i | \(0.217198\pi\) |
−0.400853 | + | 0.916142i | \(0.631286\pi\) | |||||||
\(80\) | −2.36498 | + | 0.455813i | −0.264413 | + | 0.0509614i | ||||
\(81\) | −5.11503 | + | 0.985841i | −0.568337 | + | 0.109538i | ||||
\(82\) | 0.0202048 | + | 0.0832855i | 0.00223125 | + | 0.00919735i | ||||
\(83\) | 1.19866 | − | 2.62469i | 0.131570 | − | 0.288097i | −0.832369 | − | 0.554222i | \(-0.813016\pi\) |
0.963939 | + | 0.266124i | \(0.0857432\pi\) | |||||||
\(84\) | 0.801959 | − | 3.69489i | 0.0875009 | − | 0.403145i | ||||
\(85\) | −16.0920 | + | 4.72505i | −1.74543 | + | 0.512503i | ||||
\(86\) | 7.91535 | − | 3.16883i | 0.853534 | − | 0.341704i | ||||
\(87\) | −5.43392 | − | 0.518877i | −0.582578 | − | 0.0556294i | ||||
\(88\) | 1.45093 | + | 0.580864i | 0.154670 | + | 0.0619204i | ||||
\(89\) | −2.31609 | − | 1.19403i | −0.245505 | − | 0.126567i | 0.331083 | − | 0.943602i | \(-0.392586\pi\) |
−0.576588 | + | 0.817035i | \(0.695616\pi\) | |||||||
\(90\) | 1.51069 | − | 1.74343i | 0.159241 | − | 0.183774i | ||||
\(91\) | 2.89714 | + | 0.485781i | 0.303703 | + | 0.0509237i | ||||
\(92\) | −0.128026 | − | 4.79412i | −0.0133476 | − | 0.499822i | ||||
\(93\) | −7.28422 | − | 12.6166i | −0.755339 | − | 1.30828i | ||||
\(94\) | −2.43253 | − | 7.02832i | −0.250896 | − | 0.724916i | ||||
\(95\) | 0.455707 | + | 9.56648i | 0.0467546 | + | 0.981500i | ||||
\(96\) | −1.12331 | + | 0.883381i | −0.114647 | + | 0.0901597i | ||||
\(97\) | −3.57526 | − | 7.82872i | −0.363013 | − | 0.794887i | −0.999717 | − | 0.0237788i | \(-0.992430\pi\) |
0.636705 | − | 0.771108i | \(-0.280297\pi\) | |||||||
\(98\) | −6.99176 | + | 0.339630i | −0.706274 | + | 0.0343078i | ||||
\(99\) | −1.43631 | + | 0.421738i | −0.144354 | + | 0.0423863i | ||||
\(100\) | 0.0381087 | − | 0.800000i | 0.00381087 | − | 0.0800000i | ||||
\(101\) | −4.16821 | − | 5.85343i | −0.414752 | − | 0.582438i | 0.553364 | − | 0.832940i | \(-0.313344\pi\) |
−0.968116 | + | 0.250502i | \(0.919404\pi\) | |||||||
\(102\) | −7.20192 | + | 6.86701i | −0.713096 | + | 0.679936i | ||||
\(103\) | −1.31865 | + | 3.80998i | −0.129930 | + | 0.375409i | −0.991137 | − | 0.132847i | \(-0.957588\pi\) |
0.861206 | + | 0.508256i | \(0.169709\pi\) | |||||||
\(104\) | −0.727094 | − | 0.839111i | −0.0712974 | − | 0.0822816i | ||||
\(105\) | 8.19293 | + | 3.97513i | 0.799548 | + | 0.387933i | ||||
\(106\) | 3.05241 | − | 6.68385i | 0.296476 | − | 0.649193i | ||||
\(107\) | 0.239033 | − | 5.01793i | 0.0231082 | − | 0.485102i | −0.957417 | − | 0.288709i | \(-0.906774\pi\) |
0.980525 | − | 0.196393i | \(-0.0629228\pi\) | |||||||
\(108\) | 1.33343 | − | 5.49649i | 0.128310 | − | 0.528900i | ||||
\(109\) | 1.46918 | + | 1.15537i | 0.140722 | + | 0.110665i | 0.686038 | − | 0.727565i | \(-0.259348\pi\) |
−0.545317 | + | 0.838230i | \(0.683591\pi\) | |||||||
\(110\) | −2.18346 | + | 3.06624i | −0.208184 | + | 0.292354i | ||||
\(111\) | 0.546605 | + | 3.80172i | 0.0518814 | + | 0.360843i | ||||
\(112\) | 2.11878 | + | 1.58455i | 0.200206 | + | 0.149726i | ||||
\(113\) | 2.58824 | − | 2.98699i | 0.243481 | − | 0.280992i | −0.620835 | − | 0.783941i | \(-0.713206\pi\) |
0.864316 | + | 0.502949i | \(0.167752\pi\) | |||||||
\(114\) | 2.84128 | + | 4.92124i | 0.266110 | + | 0.460917i | ||||
\(115\) | 11.2939 | + | 2.42257i | 1.05316 | + | 0.225906i | ||||
\(116\) | 1.90988 | − | 3.30801i | 0.177328 | − | 0.307141i | ||||
\(117\) | 1.04424 | + | 0.201261i | 0.0965402 | + | 0.0186066i | ||||
\(118\) | −5.59139 | + | 3.59337i | −0.514729 | + | 0.330796i | ||||
\(119\) | 15.7359 | + | 9.58141i | 1.44251 | + | 0.878327i | ||||
\(120\) | −1.42981 | − | 3.13085i | −0.130523 | − | 0.285806i | ||||
\(121\) | −7.94442 | + | 3.18046i | −0.722220 | + | 0.289133i | ||||
\(122\) | 2.09656 | − | 8.64213i | 0.189813 | − | 0.782421i | ||||
\(123\) | −0.108857 | + | 0.0561197i | −0.00981531 | + | 0.00506015i | ||||
\(124\) | 10.1483 | − | 0.969047i | 0.911346 | − | 0.0870230i | ||||
\(125\) | −9.70388 | − | 2.84931i | −0.867941 | − | 0.254850i | ||||
\(126\) | −2.53338 | + | 0.0614943i | −0.225692 | + | 0.00547835i | ||||
\(127\) | −5.03399 | − | 5.80953i | −0.446694 | − | 0.515513i | 0.487089 | − | 0.873352i | \(-0.338059\pi\) |
−0.933783 | + | 0.357840i | \(0.883513\pi\) | |||||||
\(128\) | −0.235759 | − | 0.971812i | −0.0208383 | − | 0.0858968i | ||||
\(129\) | 7.06755 | + | 9.92498i | 0.622263 | + | 0.873846i | ||||
\(130\) | 2.37690 | − | 1.22538i | 0.208468 | − | 0.107473i | ||||
\(131\) | −5.06671 | − | 4.83110i | −0.442680 | − | 0.422095i | 0.435674 | − | 0.900104i | \(-0.356510\pi\) |
−0.878355 | + | 0.478009i | \(0.841358\pi\) | |||||||
\(132\) | −0.317852 | + | 2.21071i | −0.0276654 | + | 0.192417i | ||||
\(133\) | 7.43578 | − | 7.44276i | 0.644764 | − | 0.645369i | ||||
\(134\) | 0.743323 | + | 5.16992i | 0.0642133 | + | 0.446613i | ||||
\(135\) | 12.1080 | + | 6.24211i | 1.04209 | + | 0.537235i | ||||
\(136\) | −2.27750 | − | 6.58041i | −0.195294 | − | 0.564266i | ||||
\(137\) | 3.59463 | − | 6.22608i | 0.307110 | − | 0.531930i | −0.670619 | − | 0.741802i | \(-0.733971\pi\) |
0.977729 | + | 0.209872i | \(0.0673048\pi\) | |||||||
\(138\) | 6.61480 | − | 1.79299i | 0.563089 | − | 0.152630i | ||||
\(139\) | 13.3598 | 1.13317 | 0.566583 | − | 0.824005i | \(-0.308265\pi\) | ||||
0.566583 | + | 0.824005i | \(0.308265\pi\) | |||||||
\(140\) | −4.91191 | + | 4.05949i | −0.415132 | + | 0.343090i | ||||
\(141\) | 8.94117 | − | 5.74614i | 0.752983 | − | 0.483913i | ||||
\(142\) | 11.5320 | − | 9.06888i | 0.967746 | − | 0.761044i | ||||
\(143\) | −1.72741 | − | 0.164948i | −0.144454 | − | 0.0137937i | ||||
\(144\) | 0.752890 | + | 0.592079i | 0.0627408 | + | 0.0493399i | ||||
\(145\) | 6.65830 | + | 6.34868i | 0.552942 | + | 0.527229i | ||||
\(146\) | 12.0942 | + | 7.77250i | 1.00093 | + | 0.643256i | ||||
\(147\) | −2.82727 | − | 9.59551i | −0.233190 | − | 0.791424i | ||||
\(148\) | −2.57880 | − | 0.757203i | −0.211976 | − | 0.0622417i | ||||
\(149\) | −0.0881037 | + | 0.254559i | −0.00721774 | + | 0.0208543i | −0.948552 | − | 0.316621i | \(-0.897452\pi\) |
0.941334 | + | 0.337475i | \(0.109573\pi\) | |||||||
\(150\) | 1.12385 | − | 0.216605i | 0.0917624 | − | 0.0176857i | ||||
\(151\) | 12.5875 | − | 12.0022i | 1.02436 | − | 0.976724i | 0.0246224 | − | 0.999697i | \(-0.492162\pi\) |
0.999736 | + | 0.0229730i | \(0.00731317\pi\) | |||||||
\(152\) | −3.95845 | + | 0.377986i | −0.321073 | + | 0.0306587i | ||||
\(153\) | 5.61084 | + | 3.60587i | 0.453609 | + | 0.291517i | ||||
\(154\) | 4.10552 | − | 0.492828i | 0.330832 | − | 0.0397132i | ||||
\(155\) | −3.49433 | + | 24.3036i | −0.280671 | + | 1.95211i | ||||
\(156\) | 0.920365 | − | 1.29247i | 0.0736882 | − | 0.103481i | ||||
\(157\) | 3.00121 | + | 1.20150i | 0.239523 | + | 0.0958904i | 0.488318 | − | 0.872666i | \(-0.337611\pi\) |
−0.248796 | + | 0.968556i | \(0.580035\pi\) | |||||||
\(158\) | −0.673126 | − | 14.1307i | −0.0535510 | − | 1.12417i | ||||
\(159\) | 10.3107 | + | 1.98723i | 0.817693 | + | 0.157597i | ||||
\(160\) | 2.40851 | 0.190409 | ||||||||
\(161\) | −6.38126 | − | 10.9672i | −0.502913 | − | 0.864337i | ||||
\(162\) | 5.20917 | 0.409271 | ||||||||
\(163\) | −20.1651 | − | 3.88650i | −1.57945 | − | 0.304414i | −0.677258 | − | 0.735745i | \(-0.736832\pi\) |
−0.902194 | + | 0.431331i | \(0.858044\pi\) | |||||||
\(164\) | −0.00407783 | − | 0.0856042i | −0.000318425 | − | 0.00668457i | ||||
\(165\) | −4.99393 | − | 1.99927i | −0.388777 | − | 0.155643i | ||||
\(166\) | −1.67372 | + | 2.35041i | −0.129906 | + | 0.182427i | ||||
\(167\) | −2.16333 | + | 15.0463i | −0.167404 | + | 1.16432i | 0.716822 | + | 0.697257i | \(0.245596\pi\) |
−0.884225 | + | 0.467061i | \(0.845313\pi\) | |||||||
\(168\) | −1.48673 | + | 3.47634i | −0.114704 | + | 0.268206i | ||||
\(169\) | −9.89922 | − | 6.36184i | −0.761479 | − | 0.489373i | ||||
\(170\) | 16.6954 | − | 1.59422i | 1.28048 | − | 0.122271i | ||||
\(171\) | 2.75648 | − | 2.62830i | 0.210793 | − | 0.200991i | ||||
\(172\) | −8.37202 | + | 1.61357i | −0.638360 | + | 0.123034i | ||||
\(173\) | −4.61756 | + | 13.3416i | −0.351066 | + | 1.01434i | 0.621841 | + | 0.783144i | \(0.286385\pi\) |
−0.972907 | + | 0.231196i | \(0.925736\pi\) | |||||||
\(174\) | 5.23753 | + | 1.53788i | 0.397056 | + | 0.116586i | ||||
\(175\) | −0.926780 | − | 1.90558i | −0.0700580 | − | 0.144049i | ||||
\(176\) | −1.31478 | − | 0.844958i | −0.0991053 | − | 0.0636911i | ||||
\(177\) | −6.87416 | − | 6.55450i | −0.516693 | − | 0.492666i | ||||
\(178\) | 2.04827 | + | 1.61078i | 0.153524 | + | 0.120733i | ||||
\(179\) | 10.2769 | + | 0.981328i | 0.768134 | + | 0.0733479i | 0.471764 | − | 0.881725i | \(-0.343618\pi\) |
0.296371 | + | 0.955073i | \(0.404224\pi\) | |||||||
\(180\) | −1.81334 | + | 1.42603i | −0.135158 | + | 0.106290i | ||||
\(181\) | 11.5429 | − | 7.41814i | 0.857973 | − | 0.551386i | −0.0360788 | − | 0.999349i | \(-0.511487\pi\) |
0.894052 | + | 0.447963i | \(0.147850\pi\) | |||||||
\(182\) | −2.75285 | − | 1.02529i | −0.204055 | − | 0.0759996i | ||||
\(183\) | 12.7083 | 0.939423 | ||||||||
\(184\) | −0.781581 | + | 4.73172i | −0.0576189 | + | 0.348827i | ||||
\(185\) | 3.23663 | − | 5.60601i | 0.237962 | − | 0.412162i | ||||
\(186\) | 4.76487 | + | 13.7672i | 0.349377 | + | 1.00946i | ||||
\(187\) | −9.67316 | − | 4.98686i | −0.707372 | − | 0.364675i | ||||
\(188\) | 1.05845 | + | 7.36167i | 0.0771953 | + | 0.536905i | ||||
\(189\) | −3.87978 | − | 14.4524i | −0.282213 | − | 1.05126i | ||||
\(190\) | 1.36300 | − | 9.47984i | 0.0988821 | − | 0.687740i | ||||
\(191\) | −10.3326 | − | 9.85208i | −0.747638 | − | 0.712871i | 0.217081 | − | 0.976154i | \(-0.430346\pi\) |
−0.964719 | + | 0.263282i | \(0.915195\pi\) | |||||||
\(192\) | 1.27019 | − | 0.654829i | 0.0916682 | − | 0.0472582i | ||||
\(193\) | 2.39007 | + | 3.35638i | 0.172041 | + | 0.241598i | 0.891590 | − | 0.452844i | \(-0.149591\pi\) |
−0.719549 | + | 0.694442i | \(0.755651\pi\) | |||||||
\(194\) | 2.02905 | + | 8.36387i | 0.145678 | + | 0.600491i | ||||
\(195\) | 2.50257 | + | 2.88812i | 0.179213 | + | 0.206823i | ||||
\(196\) | 6.92968 | + | 0.989706i | 0.494977 | + | 0.0706933i | ||||
\(197\) | −25.6764 | − | 7.53928i | −1.82937 | − | 0.537152i | −0.829596 | − | 0.558364i | \(-0.811429\pi\) |
−0.999775 | + | 0.0212127i | \(0.993247\pi\) | |||||||
\(198\) | 1.49017 | − | 0.142294i | 0.105902 | − | 0.0101124i | ||||
\(199\) | −14.9675 | + | 7.71626i | −1.06101 | + | 0.546991i | −0.898164 | − | 0.439660i | \(-0.855099\pi\) |
−0.162850 | + | 0.986651i | \(0.552069\pi\) | |||||||
\(200\) | −0.188821 | + | 0.778331i | −0.0133517 | + | 0.0550363i | ||||
\(201\) | −6.92939 | + | 2.77411i | −0.488762 | + | 0.195671i | ||||
\(202\) | 2.98511 | + | 6.53649i | 0.210032 | + | 0.459906i | ||||
\(203\) | 0.235766 | − | 10.1034i | 0.0165475 | − | 0.709119i | ||||
\(204\) | 8.37136 | − | 5.37994i | 0.586112 | − | 0.376671i | ||||
\(205\) | 0.202682 | + | 0.0390638i | 0.0141559 | + | 0.00272833i | ||||
\(206\) | 2.01586 | − | 3.49158i | 0.140452 | − | 0.243270i | ||||
\(207\) | −2.21311 | − | 4.02522i | −0.153821 | − | 0.279772i | ||||
\(208\) | 0.555151 | + | 0.961550i | 0.0384928 | + | 0.0666715i | ||||
\(209\) | −4.06978 | + | 4.69678i | −0.281513 | + | 0.324883i | ||||
\(210\) | −7.29258 | − | 5.45382i | −0.503236 | − | 0.376349i | ||||
\(211\) | −0.700687 | − | 4.87339i | −0.0482373 | − | 0.335498i | −0.999622 | − | 0.0274927i | \(-0.991248\pi\) |
0.951385 | − | 0.308005i | \(-0.0996614\pi\) | |||||||
\(212\) | −4.26218 | + | 5.98539i | −0.292727 | + | 0.411078i | ||||
\(213\) | 16.4799 | + | 12.9599i | 1.12918 | + | 0.887998i | ||||
\(214\) | −1.18436 | + | 4.88201i | −0.0809614 | + | 0.333727i | ||||
\(215\) | 0.977102 | − | 20.5119i | 0.0666378 | − | 1.39890i | ||||
\(216\) | −2.34955 | + | 5.14480i | −0.159867 | + | 0.350060i | ||||
\(217\) | 22.3298 | − | 15.1285i | 1.51585 | − | 1.02699i | ||||
\(218\) | −1.22397 | − | 1.41254i | −0.0828978 | − | 0.0956692i | ||||
\(219\) | −6.71951 | + | 19.4148i | −0.454063 | + | 1.31193i | ||||
\(220\) | 2.72429 | − | 2.59760i | 0.183671 | − | 0.175130i | ||||
\(221\) | 4.48470 | + | 6.29787i | 0.301673 | + | 0.423641i | ||||
\(222\) | 0.182753 | − | 3.83646i | 0.0122656 | − | 0.257487i | ||||
\(223\) | −5.36271 | + | 1.57463i | −0.359114 | + | 0.105445i | −0.456312 | − | 0.889820i | \(-0.650830\pi\) |
0.0971986 | + | 0.995265i | \(0.469012\pi\) | |||||||
\(224\) | −1.78061 | − | 1.95689i | −0.118972 | − | 0.130750i | ||||
\(225\) | −0.318672 | − | 0.697795i | −0.0212448 | − | 0.0465196i | ||||
\(226\) | −3.10676 | + | 2.44318i | −0.206658 | + | 0.162518i | ||||
\(227\) | −0.242232 | − | 5.08507i | −0.0160775 | − | 0.337508i | −0.992548 | − | 0.121856i | \(-0.961115\pi\) |
0.976470 | − | 0.215652i | \(-0.0691876\pi\) | |||||||
\(228\) | −1.85858 | − | 5.37003i | −0.123088 | − | 0.355639i | ||||
\(229\) | 14.1212 | + | 24.4587i | 0.933158 | + | 1.61628i | 0.777885 | + | 0.628406i | \(0.216292\pi\) |
0.155273 | + | 0.987872i | \(0.450374\pi\) | |||||||
\(230\) | −10.6313 | − | 4.51618i | −0.701009 | − | 0.297788i | ||||
\(231\) | 2.06762 | + | 5.53558i | 0.136040 | + | 0.364215i | ||||
\(232\) | −2.50141 | + | 2.88678i | −0.164226 | + | 0.189527i | ||||
\(233\) | −7.46582 | − | 3.84890i | −0.489102 | − | 0.252150i | 0.195990 | − | 0.980606i | \(-0.437208\pi\) |
−0.685092 | + | 0.728456i | \(0.740238\pi\) | |||||||
\(234\) | −0.987282 | − | 0.395248i | −0.0645406 | − | 0.0258382i | ||||
\(235\) | −17.8319 | − | 1.70274i | −1.16322 | − | 0.111074i | ||||
\(236\) | 6.17039 | − | 2.47025i | 0.401658 | − | 0.160800i | ||||
\(237\) | 19.3974 | − | 5.69560i | 1.26000 | − | 0.369969i | ||||
\(238\) | −13.6382 | − | 12.3863i | −0.884036 | − | 0.802885i | ||||
\(239\) | 6.92094 | − | 15.1547i | 0.447678 | − | 0.980278i | −0.542447 | − | 0.840090i | \(-0.682502\pi\) |
0.990125 | − | 0.140188i | \(-0.0447707\pi\) | |||||||
\(240\) | 0.811454 | + | 3.34486i | 0.0523792 | + | 0.215910i | ||||
\(241\) | −9.50840 | + | 1.83259i | −0.612490 | + | 0.118048i | −0.486057 | − | 0.873927i | \(-0.661565\pi\) |
−0.126433 | + | 0.991975i | \(0.540353\pi\) | |||||||
\(242\) | 8.40276 | − | 1.61950i | 0.540150 | − | 0.104105i | ||||
\(243\) | −2.24527 | − | 9.25513i | −0.144034 | − | 0.593717i | ||||
\(244\) | −3.69420 | + | 8.08918i | −0.236497 | + | 0.517856i | ||||
\(245\) | −6.25138 | + | 15.6577i | −0.399386 | + | 1.00034i | ||||
\(246\) | 0.117511 | − | 0.0345042i | 0.00749220 | − | 0.00219991i | ||||
\(247\) | 4.09881 | − | 1.64092i | 0.260801 | − | 0.104409i | ||||
\(248\) | −10.1483 | − | 0.969047i | −0.644419 | − | 0.0615346i | ||||
\(249\) | −3.82808 | − | 1.53253i | −0.242595 | − | 0.0971202i | ||||
\(250\) | 8.98928 | + | 4.63429i | 0.568532 | + | 0.293099i | ||||
\(251\) | 3.31390 | − | 3.82444i | 0.209172 | − | 0.241397i | −0.641463 | − | 0.767154i | \(-0.721672\pi\) |
0.850635 | + | 0.525757i | \(0.176218\pi\) | |||||||
\(252\) | 2.49924 | + | 0.419063i | 0.157437 | + | 0.0263985i | ||||
\(253\) | 4.21916 | + | 6.19504i | 0.265256 | + | 0.389479i | ||||
\(254\) | 3.84356 | + | 6.65724i | 0.241166 | + | 0.417712i | ||||
\(255\) | 7.83890 | + | 22.6490i | 0.490891 | + | 1.41834i | ||||
\(256\) | 0.0475819 | + | 0.998867i | 0.00297387 | + | 0.0624292i | ||||
\(257\) | 9.09293 | − | 7.15076i | 0.567202 | − | 0.446052i | −0.292923 | − | 0.956136i | \(-0.594628\pi\) |
0.860125 | + | 0.510084i | \(0.170386\pi\) | |||||||
\(258\) | −5.06151 | − | 11.0832i | −0.315116 | − | 0.690008i | ||||
\(259\) | −6.94768 | + | 1.51479i | −0.431708 | + | 0.0941243i | ||||
\(260\) | −2.56585 | + | 0.753401i | −0.159127 | + | 0.0467240i | ||||
\(261\) | 0.174084 | − | 3.65447i | 0.0107755 | − | 0.226206i | ||||
\(262\) | 4.06086 | + | 5.70267i | 0.250881 | + | 0.352312i | ||||
\(263\) | −0.219400 | + | 0.209197i | −0.0135288 | + | 0.0128997i | −0.696813 | − | 0.717253i | \(-0.745399\pi\) |
0.683284 | + | 0.730152i | \(0.260551\pi\) | |||||||
\(264\) | 0.730486 | − | 2.11060i | 0.0449583 | − | 0.129899i | ||||
\(265\) | −11.5893 | − | 13.3748i | −0.711926 | − | 0.821606i | ||||
\(266\) | −8.70996 | + | 5.90102i | −0.534042 | + | 0.361815i | ||||
\(267\) | −1.54691 | + | 3.38726i | −0.0946694 | + | 0.207297i | ||||
\(268\) | 0.248524 | − | 5.21717i | 0.0151810 | − | 0.318689i | ||||
\(269\) | −1.55181 | + | 6.39666i | −0.0946156 | + | 0.390011i | −0.999353 | − | 0.0359582i | \(-0.988552\pi\) |
0.904738 | + | 0.425969i | \(0.140067\pi\) | |||||||
\(270\) | −10.7079 | − | 8.42076i | −0.651660 | − | 0.512471i | ||||
\(271\) | 1.12139 | − | 1.57477i | 0.0681194 | − | 0.0956604i | −0.779111 | − | 0.626886i | \(-0.784329\pi\) |
0.847230 | + | 0.531226i | \(0.178268\pi\) | |||||||
\(272\) | 0.990994 | + | 6.89252i | 0.0600879 | + | 0.417920i | ||||
\(273\) | 0.496424 | − | 4.16851i | 0.0300449 | − | 0.252289i | ||||
\(274\) | −4.70796 | + | 5.43328i | −0.284418 | + | 0.328236i | ||||
\(275\) | 0.625862 | + | 1.08402i | 0.0377409 | + | 0.0653691i | ||||
\(276\) | −6.83458 | + | 0.508734i | −0.411394 | + | 0.0306222i | ||||
\(277\) | −1.67507 | + | 2.90131i | −0.100645 | + | 0.174323i | −0.911951 | − | 0.410300i | \(-0.865424\pi\) |
0.811305 | + | 0.584623i | \(0.198757\pi\) | |||||||
\(278\) | −13.1184 | − | 2.52837i | −0.786790 | − | 0.151641i | ||||
\(279\) | 8.21432 | − | 5.27902i | 0.491779 | − | 0.316047i | ||||
\(280\) | 5.59141 | − | 3.05655i | 0.334151 | − | 0.182664i | ||||
\(281\) | −10.5930 | − | 23.1955i | −0.631927 | − | 1.38373i | −0.906518 | − | 0.422166i | \(-0.861270\pi\) |
0.274591 | − | 0.961561i | \(-0.411457\pi\) | |||||||
\(282\) | −9.86706 | + | 3.95017i | −0.587575 | + | 0.235229i | ||||
\(283\) | −2.07710 | + | 8.56191i | −0.123471 | + | 0.508953i | 0.876166 | + | 0.482009i | \(0.160093\pi\) |
−0.999637 | + | 0.0269439i | \(0.991422\pi\) | |||||||
\(284\) | −13.0399 | + | 6.72254i | −0.773777 | + | 0.398910i | ||||
\(285\) | 13.6245 | − | 1.30098i | 0.807047 | − | 0.0770636i | ||||
\(286\) | 1.66498 | + | 0.488883i | 0.0984524 | + | 0.0289082i | ||||
\(287\) | −0.118104 | − | 0.193557i | −0.00697145 | − | 0.0114253i | ||||
\(288\) | −0.627233 | − | 0.723865i | −0.0369600 | − | 0.0426542i | ||||
\(289\) | 7.42378 | + | 30.6012i | 0.436693 | + | 1.80007i | ||||
\(290\) | −5.33648 | − | 7.49404i | −0.313369 | − | 0.440065i | ||||
\(291\) | −10.9319 | + | 5.63577i | −0.640838 | + | 0.330375i | ||||
\(292\) | −10.4047 | − | 9.92089i | −0.608891 | − | 0.580576i | ||||
\(293\) | −2.60434 | + | 18.1136i | −0.152147 | + | 1.05821i | 0.760465 | + | 0.649379i | \(0.224971\pi\) |
−0.912612 | + | 0.408827i | \(0.865938\pi\) | |||||||
\(294\) | 0.960218 | + | 9.95717i | 0.0560011 | + | 0.580714i | ||||
\(295\) | 2.27819 | + | 15.8452i | 0.132642 | + | 0.922543i | ||||
\(296\) | 2.38889 | + | 1.23156i | 0.138852 | + | 0.0715830i | ||||
\(297\) | 2.89113 | + | 8.35336i | 0.167760 | + | 0.484711i | ||||
\(298\) | 0.134687 | − | 0.233285i | 0.00780222 | − | 0.0135138i | ||||
\(299\) | −0.647480 | − | 5.28531i | −0.0374447 | − | 0.305658i | ||||
\(300\) | −1.14454 | −0.0660799 | ||||||||
\(301\) | −17.3881 | + | 14.3706i | −1.00223 | + | 0.828306i | ||||
\(302\) | −14.6315 | + | 9.40308i | −0.841947 | + | 0.541087i | ||||
\(303\) | −8.07195 | + | 6.34785i | −0.463722 | + | 0.364675i | ||||
\(304\) | 3.95845 | + | 0.377986i | 0.227033 | + | 0.0216790i | ||||
\(305\) | −16.8360 | − | 13.2400i | −0.964026 | − | 0.758118i | ||||
\(306\) | −4.82703 | − | 4.60256i | −0.275943 | − | 0.263111i | ||||
\(307\) | −14.2737 | − | 9.17315i | −0.814643 | − | 0.523540i | 0.0657207 | − | 0.997838i | \(-0.479065\pi\) |
−0.880364 | + | 0.474299i | \(0.842702\pi\) | |||||||
\(308\) | −4.12460 | − | 0.293053i | −0.235021 | − | 0.0166983i | ||||
\(309\) | 5.52816 | + | 1.62322i | 0.314486 | + | 0.0923415i | ||||
\(310\) | 8.03066 | − | 23.2031i | 0.456111 | − | 1.31785i | ||||
\(311\) | 8.49905 | − | 1.63806i | 0.481937 | − | 0.0928857i | 0.0575043 | − | 0.998345i | \(-0.481686\pi\) |
0.424433 | + | 0.905460i | \(0.360474\pi\) | |||||||
\(312\) | −1.14833 | + | 1.09493i | −0.0650116 | + | 0.0619885i | ||||
\(313\) | 2.07935 | − | 0.198554i | 0.117532 | − | 0.0112229i | −0.0361244 | − | 0.999347i | \(-0.511501\pi\) |
0.153656 | + | 0.988124i | \(0.450895\pi\) | |||||||
\(314\) | −2.71959 | − | 1.74777i | −0.153475 | − | 0.0986325i | ||||
\(315\) | −2.40000 | + | 5.61180i | −0.135225 | + | 0.316189i | ||||
\(316\) | −2.01328 | + | 14.0027i | −0.113256 | + | 0.787713i | ||||
\(317\) | −1.58289 | + | 2.22286i | −0.0889042 | + | 0.124848i | −0.856633 | − | 0.515927i | \(-0.827448\pi\) |
0.767728 | + | 0.640775i | \(0.221387\pi\) | |||||||
\(318\) | −9.74830 | − | 3.90263i | −0.546657 | − | 0.218849i | ||||
\(319\) | 0.284056 | + | 5.96308i | 0.0159041 | + | 0.333868i | ||||
\(320\) | −2.36498 | − | 0.455813i | −0.132207 | − | 0.0254807i | ||||
\(321\) | −7.17901 | −0.400693 | ||||||||
\(322\) | 4.19038 | + | 11.9767i | 0.233521 | + | 0.667434i | ||||
\(323\) | 27.6896 | 1.54069 | ||||||||
\(324\) | −5.11503 | − | 0.985841i | −0.284168 | − | 0.0547690i | ||||
\(325\) | −0.0423122 | − | 0.888242i | −0.00234706 | − | 0.0492708i | ||||
\(326\) | 19.0652 | + | 7.63254i | 1.05592 | + | 0.422727i | ||||
\(327\) | 1.54932 | − | 2.17572i | 0.0856776 | − | 0.120317i | ||||
\(328\) | −0.0121966 | + | 0.0848290i | −0.000673443 | + | 0.00468390i | ||||
\(329\) | 11.7996 | + | 15.7471i | 0.650535 | + | 0.868164i | ||||
\(330\) | 4.52532 | + | 2.90824i | 0.249110 | + | 0.160094i | ||||
\(331\) | −28.1268 | + | 2.68579i | −1.54599 | + | 0.147624i | −0.832890 | − | 0.553438i | \(-0.813315\pi\) |
−0.713100 | + | 0.701063i | \(0.752709\pi\) | |||||||
\(332\) | 2.08829 | − | 1.99118i | 0.114610 | − | 0.109280i | ||||
\(333\) | −2.52775 | + | 0.487185i | −0.138520 | + | 0.0266976i | ||||
\(334\) | 4.97177 | − | 14.3650i | 0.272043 | − | 0.786017i | ||||
\(335\) | 12.0703 | + | 3.54415i | 0.659469 | + | 0.193638i | ||||
\(336\) | 2.11776 | − | 3.13216i | 0.115533 | − | 0.170873i | ||||
\(337\) | 15.6037 | + | 10.0279i | 0.849986 | + | 0.546253i | 0.891570 | − | 0.452882i | \(-0.149604\pi\) |
−0.0415844 | + | 0.999135i | \(0.513241\pi\) | |||||||
\(338\) | 8.51634 | + | 8.12032i | 0.463228 | + | 0.441687i | ||||
\(339\) | −4.43972 | − | 3.49143i | −0.241132 | − | 0.189629i | ||||
\(340\) | −16.6954 | − | 1.59422i | −0.905438 | − | 0.0864588i | ||||
\(341\) | −12.5240 | + | 9.84899i | −0.678213 | + | 0.533352i | ||||
\(342\) | −3.20408 | + | 2.05913i | −0.173257 | + | 0.111345i | ||||
\(343\) | 17.3434 | − | 6.49657i | 0.936457 | − | 0.350782i | ||||
\(344\) | 8.52609 | 0.459696 | ||||||||
\(345\) | 2.69011 | − | 16.2860i | 0.144831 | − | 0.876809i | ||||
\(346\) | 7.05902 | − | 12.2266i | 0.379495 | − | 0.657305i | ||||
\(347\) | 0.706169 | + | 2.04034i | 0.0379091 | + | 0.109531i | 0.962367 | − | 0.271753i | \(-0.0876032\pi\) |
−0.924458 | + | 0.381284i | \(0.875482\pi\) | |||||||
\(348\) | −4.85183 | − | 2.50129i | −0.260085 | − | 0.134083i | ||||
\(349\) | −0.219342 | − | 1.52556i | −0.0117411 | − | 0.0816613i | 0.983108 | − | 0.183024i | \(-0.0585887\pi\) |
−0.994850 | + | 0.101363i | \(0.967680\pi\) | |||||||
\(350\) | 0.549398 | + | 2.04654i | 0.0293665 | + | 0.109392i | ||||
\(351\) | 0.893706 | − | 6.21586i | 0.0477025 | − | 0.331778i | ||||
\(352\) | 1.13111 | + | 1.07851i | 0.0602884 | + | 0.0574849i | ||||
\(353\) | −5.29229 | + | 2.72837i | −0.281680 | + | 0.145216i | −0.593278 | − | 0.804998i | \(-0.702166\pi\) |
0.311597 | + | 0.950214i | \(0.399136\pi\) | |||||||
\(354\) | 5.50949 | + | 7.73699i | 0.292826 | + | 0.411217i | ||||
\(355\) | −8.33047 | − | 34.3387i | −0.442136 | − | 1.82251i | ||||
\(356\) | −1.70641 | − | 1.96930i | −0.0904396 | − | 0.104373i | ||||
\(357\) | 12.6068 | − | 23.1135i | 0.667224 | − | 1.22329i | ||||
\(358\) | −9.90550 | − | 2.90852i | −0.523522 | − | 0.153720i | ||||
\(359\) | 34.6032 | − | 3.30420i | 1.82628 | − | 0.174389i | 0.875290 | − | 0.483598i | \(-0.160670\pi\) |
0.950994 | + | 0.309209i | \(0.100064\pi\) | |||||||
\(360\) | 2.05045 | − | 1.05708i | 0.108068 | − | 0.0557130i | ||||
\(361\) | −0.751552 | + | 3.09794i | −0.0395553 | + | 0.163049i | ||||
\(362\) | −12.7381 | + | 5.09959i | −0.669502 | + | 0.268028i | ||||
\(363\) | 5.08010 | + | 11.1239i | 0.266636 | + | 0.583851i | ||||
\(364\) | 2.50907 | + | 1.52774i | 0.131511 | + | 0.0800754i | ||||
\(365\) | 29.1291 | − | 18.7201i | 1.52469 | − | 0.979856i | ||||
\(366\) | −12.4786 | − | 2.40506i | −0.652268 | − | 0.125714i | ||||
\(367\) | −10.8929 | + | 18.8670i | −0.568602 | + | 0.984848i | 0.428102 | + | 0.903730i | \(0.359182\pi\) |
−0.996705 | + | 0.0811179i | \(0.974151\pi\) | |||||||
\(368\) | 1.66294 | − | 4.49829i | 0.0866867 | − | 0.234490i | ||||
\(369\) | −0.0410428 | − | 0.0710882i | −0.00213660 | − | 0.00370071i | ||||
\(370\) | −4.23909 | + | 4.89217i | −0.220380 | + | 0.254332i | ||||
\(371\) | −2.29892 | + | 19.3042i | −0.119354 | + | 1.00222i | ||||
\(372\) | −2.07331 | − | 14.4202i | −0.107496 | − | 0.747650i | ||||
\(373\) | 10.0311 | − | 14.0867i | 0.519391 | − | 0.729383i | −0.468682 | − | 0.883367i | \(-0.655271\pi\) |
0.988073 | + | 0.153984i | \(0.0492105\pi\) | |||||||
\(374\) | 8.55459 | + | 6.72740i | 0.442347 | + | 0.347866i | ||||
\(375\) | −3.40737 | + | 14.0454i | −0.175956 | + | 0.725300i | ||||
\(376\) | 0.353884 | − | 7.42895i | 0.0182502 | − | 0.383119i | ||||
\(377\) | 1.76181 | − | 3.85783i | 0.0907380 | − | 0.198689i | ||||
\(378\) | 1.07453 | + | 14.9255i | 0.0552678 | + | 0.767686i | ||||
\(379\) | 11.6790 | + | 13.4782i | 0.599908 | + | 0.692331i | 0.971763 | − | 0.235960i | \(-0.0758234\pi\) |
−0.371854 | + | 0.928291i | \(0.621278\pi\) | |||||||
\(380\) | −3.13244 | + | 9.05058i | −0.160691 | + | 0.464285i | ||||
\(381\) | −7.95042 | + | 7.58071i | −0.407313 | + | 0.388372i | ||||
\(382\) | 8.28132 | + | 11.6295i | 0.423709 | + | 0.595016i | ||||
\(383\) | 1.43576 | − | 30.1403i | 0.0733639 | − | 1.54010i | −0.599526 | − | 0.800356i | \(-0.704644\pi\) |
0.672890 | − | 0.739743i | \(-0.265053\pi\) | |||||||
\(384\) | −1.37117 | + | 0.402610i | −0.0699720 | + | 0.0205456i | ||||
\(385\) | 3.02798 | − | 9.48770i | 0.154320 | − | 0.483538i | ||||
\(386\) | −1.71168 | − | 3.74805i | −0.0871221 | − | 0.190771i | ||||
\(387\) | −6.41921 | + | 5.04812i | −0.326307 | + | 0.256611i | ||||
\(388\) | −0.409513 | − | 8.59673i | −0.0207898 | − | 0.436433i | ||||
\(389\) | 6.27858 | + | 18.1408i | 0.318336 | + | 0.919773i | 0.984717 | + | 0.174161i | \(0.0557214\pi\) |
−0.666381 | + | 0.745612i | \(0.732157\pi\) | |||||||
\(390\) | −1.91077 | − | 3.30954i | −0.0967554 | − | 0.167585i | ||||
\(391\) | 8.54980 | − | 32.2823i | 0.432382 | − | 1.63258i | ||||
\(392\) | −6.61715 | − | 2.28327i | −0.334217 | − | 0.115323i | ||||
\(393\) | −6.55155 | + | 7.56089i | −0.330482 | + | 0.381396i | ||||
\(394\) | 23.7856 | + | 12.2623i | 1.19830 | + | 0.617768i | ||||
\(395\) | −31.6317 | − | 12.6634i | −1.59156 | − | 0.637166i | ||||
\(396\) | −1.49017 | − | 0.142294i | −0.0748837 | − | 0.00715053i | ||||
\(397\) | −29.6255 | + | 11.8603i | −1.48686 | + | 0.595250i | −0.966035 | − | 0.258411i | \(-0.916801\pi\) |
−0.520829 | + | 0.853661i | \(0.674377\pi\) | |||||||
\(398\) | 16.1573 | − | 4.74421i | 0.809892 | − | 0.237806i | ||||
\(399\) | −11.1296 | − | 10.1080i | −0.557179 | − | 0.506033i | ||||
\(400\) | 0.332709 | − | 0.728531i | 0.0166354 | − | 0.0364265i | ||||
\(401\) | 0.276174 | + | 1.13840i | 0.0137915 | + | 0.0568492i | 0.978292 | − | 0.207233i | \(-0.0664460\pi\) |
−0.964500 | + | 0.264083i | \(0.914931\pi\) | |||||||
\(402\) | 7.32917 | − | 1.41258i | 0.365546 | − | 0.0704532i | ||||
\(403\) | 11.1144 | − | 2.14213i | 0.553648 | − | 0.106707i | ||||
\(404\) | −1.69413 | − | 6.98330i | −0.0842861 | − | 0.347432i | ||||
\(405\) | 5.21193 | − | 11.4125i | 0.258983 | − | 0.567093i | ||||
\(406\) | −2.14358 | + | 9.87619i | −0.106384 | + | 0.490147i | ||||
\(407\) | 4.03035 | − | 1.18342i | 0.199777 | − | 0.0586599i | ||||
\(408\) | −9.23824 | + | 3.69843i | −0.457361 | + | 0.183100i | ||||
\(409\) | 12.5928 | + | 1.20247i | 0.622674 | + | 0.0594582i | 0.401625 | − | 0.915804i | \(-0.368446\pi\) |
0.221050 | + | 0.975263i | \(0.429052\pi\) | |||||||
\(410\) | −0.191626 | − | 0.0767157i | −0.00946376 | − | 0.00378872i | ||||
\(411\) | −9.13173 | − | 4.70774i | −0.450435 | − | 0.232215i | ||||
\(412\) | −2.64022 | + | 3.04698i | −0.130074 | + | 0.150114i | ||||
\(413\) | 11.1898 | − | 13.5654i | 0.550615 | − | 0.667508i | ||||
\(414\) | 1.41133 | + | 4.37131i | 0.0693633 | + | 0.214838i | ||||
\(415\) | 3.47481 | + | 6.01854i | 0.170571 | + | 0.295438i | ||||
\(416\) | −0.363144 | − | 1.04924i | −0.0178046 | − | 0.0514431i | ||||
\(417\) | −0.908429 | − | 19.0703i | −0.0444860 | − | 0.933875i | ||||
\(418\) | 4.88511 | − | 3.84169i | 0.238938 | − | 0.187903i | ||||
\(419\) | −9.45101 | − | 20.6948i | −0.461712 | − | 1.01101i | −0.987094 | − | 0.160142i | \(-0.948805\pi\) |
0.525382 | − | 0.850867i | \(-0.323923\pi\) | |||||||
\(420\) | 6.12865 | + | 6.73539i | 0.299047 | + | 0.328654i | ||||
\(421\) | −19.7706 | + | 5.80516i | −0.963558 | + | 0.282926i | −0.725421 | − | 0.688305i | \(-0.758355\pi\) |
−0.238137 | + | 0.971232i | \(0.576537\pi\) | |||||||
\(422\) | −0.234270 | + | 4.91793i | −0.0114041 | + | 0.239401i | ||||
\(423\) | 4.13209 | + | 5.80271i | 0.200909 | + | 0.282137i | ||||
\(424\) | 5.31789 | − | 5.07060i | 0.258260 | − | 0.246250i | ||||
\(425\) | 1.82407 | − | 5.27030i | 0.0884803 | − | 0.255647i | ||||
\(426\) | −13.7294 | − | 15.8445i | −0.665190 | − | 0.767670i | ||||
\(427\) | 1.68948 | + | 23.4674i | 0.0817598 | + | 1.13567i | ||||
\(428\) | 2.08689 | − | 4.56965i | 0.100873 | − | 0.220882i | ||||
\(429\) | −0.117993 | + | 2.47698i | −0.00569677 | + | 0.119590i | ||||
\(430\) | −4.84135 | + | 19.9563i | −0.233471 | + | 0.962379i | ||||
\(431\) | −28.0228 | − | 22.0373i | −1.34981 | − | 1.06150i | −0.991802 | − | 0.127783i | \(-0.959214\pi\) |
−0.358007 | − | 0.933719i | \(-0.616544\pi\) | |||||||
\(432\) | 3.28075 | − | 4.60717i | 0.157845 | − | 0.221663i | ||||
\(433\) | 4.53574 | + | 31.5468i | 0.217974 | + | 1.51604i | 0.745502 | + | 0.666504i | \(0.232210\pi\) |
−0.527528 | + | 0.849538i | \(0.676881\pi\) | |||||||
\(434\) | −24.7894 | + | 10.6292i | −1.18993 | + | 0.510217i | ||||
\(435\) | 8.60957 | − | 9.93597i | 0.412797 | − | 0.476393i | ||||
\(436\) | 0.934528 | + | 1.61865i | 0.0447558 | + | 0.0775193i | ||||
\(437\) | −16.7641 | − | 9.09092i | −0.801937 | − | 0.434878i | ||||
\(438\) | 10.2723 | − | 17.7922i | 0.490832 | − | 0.850146i | ||||
\(439\) | 25.9320 | + | 4.99798i | 1.23767 | + | 0.238541i | 0.765771 | − | 0.643114i | \(-0.222358\pi\) |
0.471896 | + | 0.881654i | \(0.343570\pi\) | |||||||
\(440\) | −3.16666 | + | 2.03509i | −0.150964 | + | 0.0970190i | ||||
\(441\) | 6.33386 | − | 2.19882i | 0.301613 | − | 0.104706i | ||||
\(442\) | −3.21177 | − | 7.03280i | −0.152768 | − | 0.334516i | ||||
\(443\) | 11.2280 | − | 4.49501i | 0.533458 | − | 0.213564i | −0.0892632 | − | 0.996008i | \(-0.528451\pi\) |
0.622721 | + | 0.782444i | \(0.286027\pi\) | |||||||
\(444\) | −0.905506 | + | 3.73255i | −0.0429734 | + | 0.177139i | ||||
\(445\) | 5.57833 | − | 2.87583i | 0.264438 | − | 0.136327i | ||||
\(446\) | 5.56380 | − | 0.531278i | 0.263454 | − | 0.0251568i | ||||
\(447\) | 0.369357 | + | 0.108453i | 0.0174700 | + | 0.00512965i | ||||
\(448\) | 1.37809 | + | 2.25851i | 0.0651085 | + | 0.106705i | ||||
\(449\) | 23.3452 | + | 26.9418i | 1.10173 | + | 1.27146i | 0.959524 | + | 0.281626i | \(0.0908739\pi\) |
0.142205 | + | 0.989837i | \(0.454581\pi\) | |||||||
\(450\) | 0.180855 | + | 0.745494i | 0.00852558 | + | 0.0351429i | ||||
\(451\) | 0.0776934 | + | 0.109105i | 0.00365844 | + | 0.00513756i | ||||
\(452\) | 3.51299 | − | 1.81107i | 0.165237 | − | 0.0851857i | ||||
\(453\) | −17.9882 | − | 17.1517i | −0.845161 | − | 0.805859i | ||||
\(454\) | −0.724501 | + | 5.03902i | −0.0340025 | + | 0.236493i | ||||
\(455\) | −5.00057 | + | 5.00526i | −0.234430 | + | 0.234650i | ||||
\(456\) | 0.808713 | + | 5.62472i | 0.0378715 | + | 0.263402i | ||||
\(457\) | −20.5537 | − | 10.5961i | −0.961460 | − | 0.495667i | −0.0953077 | − | 0.995448i | \(-0.530384\pi\) |
−0.866152 | + | 0.499781i | \(0.833414\pi\) | |||||||
\(458\) | −9.23722 | − | 26.6892i | −0.431627 | − | 1.24710i | ||||
\(459\) | 19.6922 | − | 34.1079i | 0.919153 | − | 1.59202i | ||||
\(460\) | 9.58451 | + | 6.44656i | 0.446880 | + | 0.300572i | ||||
\(461\) | 33.3445 | 1.55301 | 0.776505 | − | 0.630112i | \(-0.216991\pi\) | ||||
0.776505 | + | 0.630112i | \(0.216991\pi\) | |||||||
\(462\) | −0.982642 | − | 5.82685i | −0.0457167 | − | 0.271090i | ||||
\(463\) | −18.2903 | + | 11.7544i | −0.850020 | + | 0.546275i | −0.891581 | − | 0.452861i | \(-0.850403\pi\) |
0.0415608 | + | 0.999136i | \(0.486767\pi\) | |||||||
\(464\) | 3.00254 | − | 2.36122i | 0.139389 | − | 0.109617i | ||||
\(465\) | 34.9293 | + | 3.33535i | 1.61981 | + | 0.154673i | ||||
\(466\) | 6.60250 | + | 5.19226i | 0.305855 | + | 0.240527i | ||||
\(467\) | 19.0414 | + | 18.1559i | 0.881131 | + | 0.840157i | 0.988054 | − | 0.154110i | \(-0.0492512\pi\) |
−0.106922 | + | 0.994267i | \(0.534100\pi\) | |||||||
\(468\) | 0.894639 | + | 0.574950i | 0.0413547 | + | 0.0265771i | ||||
\(469\) | −6.04396 | − | 12.4272i | −0.279084 | − | 0.573834i | ||||
\(470\) | 17.1874 | + | 5.04667i | 0.792794 | + | 0.232785i | ||||
\(471\) | 1.51099 | − | 4.36573i | 0.0696228 | − | 0.201162i | ||||
\(472\) | −6.52638 | + | 1.25786i | −0.300401 | + | 0.0578976i | ||||
\(473\) | 9.64396 | − | 9.19549i | 0.443430 | − | 0.422809i | ||||
\(474\) | −20.1248 | + | 1.92168i | −0.924362 | + | 0.0882659i | ||||
\(475\) | −2.67920 | − | 1.72182i | −0.122930 | − | 0.0790024i | ||||
\(476\) | 11.0477 | + | 14.7435i | 0.506368 | + | 0.675768i | ||||
\(477\) | −1.00159 | + | 6.96622i | −0.0458597 | + | 0.318961i | ||||
\(478\) | −9.66392 | + | 13.5711i | −0.442017 | + | 0.620726i | ||||
\(479\) | −4.23818 | − | 1.69671i | −0.193647 | − | 0.0775247i | 0.272812 | − | 0.962067i | \(-0.412046\pi\) |
−0.466459 | + | 0.884543i | \(0.654471\pi\) | |||||||
\(480\) | −0.163771 | − | 3.43798i | −0.00747510 | − | 0.156922i | ||||
\(481\) | −2.93020 | − | 0.564749i | −0.133605 | − | 0.0257503i | ||||
\(482\) | 9.68339 | 0.441067 | ||||||||
\(483\) | −15.2210 | + | 9.85455i | −0.692582 | + | 0.448398i | ||||
\(484\) | −8.55740 | −0.388973 | ||||||||
\(485\) | 20.3542 | + | 3.92294i | 0.924235 | + | 0.178132i | ||||
\(486\) | 0.453150 | + | 9.51279i | 0.0205553 | + | 0.431509i | ||||
\(487\) | −8.40548 | − | 3.36505i | −0.380889 | − | 0.152485i | 0.173314 | − | 0.984867i | \(-0.444553\pi\) |
−0.554203 | + | 0.832382i | \(0.686977\pi\) | |||||||
\(488\) | 5.15833 | − | 7.24386i | 0.233507 | − | 0.327914i | ||||
\(489\) | −4.17656 | + | 29.0486i | −0.188870 | + | 1.31362i | ||||
\(490\) | 9.10166 | − | 14.1917i | 0.411171 | − | 0.641116i | ||||
\(491\) | 26.9398 | + | 17.3132i | 1.21578 | + | 0.781333i | 0.981616 | − | 0.190865i | \(-0.0611293\pi\) |
0.234161 | + | 0.972198i | \(0.424766\pi\) | |||||||
\(492\) | −0.121917 | + | 0.0116417i | −0.00549644 | + | 0.000524847i | ||||
\(493\) | 19.2502 | − | 18.3551i | 0.866988 | − | 0.826671i | ||||
\(494\) | −4.33528 | + | 0.835558i | −0.195054 | + | 0.0375935i | ||||
\(495\) | 1.17921 | − | 3.40711i | 0.0530016 | − | 0.153138i | ||||
\(496\) | 9.78153 | + | 2.87212i | 0.439204 | + | 0.128962i | ||||
\(497\) | −21.7412 | + | 32.1550i | −0.975225 | + | 1.44235i | ||||
\(498\) | 3.46887 | + | 2.22930i | 0.155444 | + | 0.0998975i | ||||
\(499\) | −24.5806 | − | 23.4375i | −1.10038 | − | 1.04921i | −0.998519 | − | 0.0544091i | \(-0.982673\pi\) |
−0.101859 | − | 0.994799i | \(-0.532479\pi\) | |||||||
\(500\) | −7.94978 | − | 6.25178i | −0.355525 | − | 0.279588i | ||||
\(501\) | 21.6247 | + | 2.06491i | 0.966120 | + | 0.0922532i | ||||
\(502\) | −3.97779 | + | 3.12817i | −0.177538 | + | 0.139617i | ||||
\(503\) | −20.2230 | + | 12.9965i | −0.901699 | + | 0.579487i | −0.907294 | − | 0.420497i | \(-0.861856\pi\) |
0.00559433 | + | 0.999984i | \(0.498219\pi\) | |||||||
\(504\) | −2.37477 | − | 0.884474i | −0.105781 | − | 0.0393976i | ||||
\(505\) | 17.3072 | 0.770160 | ||||||||
\(506\) | −2.97049 | − | 6.88157i | −0.132054 | − | 0.305923i | ||||
\(507\) | −8.40799 | + | 14.5631i | −0.373412 | + | 0.646768i | ||||
\(508\) | −2.51421 | − | 7.26433i | −0.111550 | − | 0.322302i | ||||
\(509\) | −31.5849 | − | 16.2832i | −1.39998 | − | 0.721739i | −0.417598 | − | 0.908632i | \(-0.637128\pi\) |
−0.982380 | + | 0.186893i | \(0.940158\pi\) | |||||||
\(510\) | −3.41089 | − | 23.7232i | −0.151037 | − | 1.05048i | ||||
\(511\) | −36.7451 | − | 9.82735i | −1.62551 | − | 0.434736i | ||||
\(512\) | 0.142315 | − | 0.989821i | 0.00628949 | − | 0.0437443i | ||||
\(513\) | −16.2771 | − | 15.5202i | −0.718653 | − | 0.685235i | ||||
\(514\) | −10.2819 | + | 5.30069i | −0.453515 | + | 0.233803i | ||||
\(515\) | −5.63261 | − | 7.90989i | −0.248202 | − | 0.348552i | ||||
\(516\) | 2.87254 | + | 11.8408i | 0.126457 | + | 0.521261i | ||||
\(517\) | −7.61193 | − | 8.78463i | −0.334772 | − | 0.386348i | ||||
\(518\) | 7.10880 | − | 0.172556i | 0.312343 | − | 0.00758168i | ||||
\(519\) | 19.3582 | + | 5.68407i | 0.849729 | + | 0.249503i | ||||
\(520\) | 2.66206 | − | 0.254196i | 0.116739 | − | 0.0111472i | ||||
\(521\) | 20.6124 | − | 10.6264i | 0.903047 | − | 0.465553i | 0.0568253 | − | 0.998384i | \(-0.481902\pi\) |
0.846222 | + | 0.532831i | \(0.178872\pi\) | |||||||
\(522\) | −0.862550 | + | 3.55548i | −0.0377528 | + | 0.155619i | ||||
\(523\) | −25.2801 | + | 10.1206i | −1.10542 | + | 0.442544i | −0.851327 | − | 0.524636i | \(-0.824202\pi\) |
−0.254094 | + | 0.967180i | \(0.581777\pi\) | |||||||
\(524\) | −2.90823 | − | 6.36814i | −0.127047 | − | 0.278194i | ||||
\(525\) | −2.65707 | + | 1.45249i | −0.115964 | + | 0.0633919i | ||||
\(526\) | 0.255026 | − | 0.163895i | 0.0111197 | − | 0.00714617i | ||||
\(527\) | 69.7054 | + | 13.4346i | 3.03641 | + | 0.585221i | ||||
\(528\) | −1.11672 | + | 1.93422i | −0.0485990 | + | 0.0841759i | ||||
\(529\) | −15.7751 | + | 16.7376i | −0.685872 | + | 0.727722i | ||||
\(530\) | 8.84868 | + | 15.3264i | 0.384362 | + | 0.665735i | ||||
\(531\) | 4.16890 | − | 4.81116i | 0.180915 | − | 0.208787i | ||||
\(532\) | 9.66933 | − | 4.14602i | 0.419219 | − | 0.179753i | ||||
\(533\) | −0.0135419 | − | 0.0941859i | −0.000586564 | − | 0.00407964i | ||||
\(534\) | 2.16000 | − | 3.03329i | 0.0934723 | − | 0.131263i | ||||
\(535\) | 9.51079 | + | 7.47937i | 0.411187 | + | 0.323361i | ||||
\(536\) | −1.23139 | + | 5.07585i | −0.0531879 | + | 0.219244i | ||||
\(537\) | 0.701980 | − | 14.7364i | 0.0302927 | − | 0.635921i | ||||
\(538\) | 2.73434 | − | 5.98738i | 0.117886 | − | 0.258134i | ||||
\(539\) | −9.94726 | + | 4.55404i | −0.428459 | + | 0.196156i | ||||
\(540\) | 8.92072 | + | 10.2951i | 0.383887 | + | 0.443029i | ||||
\(541\) | −5.85072 | + | 16.9045i | −0.251542 | + | 0.726783i | 0.746567 | + | 0.665311i | \(0.231701\pi\) |
−0.998109 | + | 0.0614725i | \(0.980420\pi\) | |||||||
\(542\) | −1.39915 | + | 1.33409i | −0.0600986 | + | 0.0573039i | ||||
\(543\) | −11.3738 | − | 15.9722i | −0.488096 | − | 0.685434i | ||||
\(544\) | 0.331332 | − | 6.95551i | 0.0142057 | − | 0.298215i | ||||
\(545\) | −4.31929 | + | 1.26826i | −0.185018 | + | 0.0543262i | ||||
\(546\) | −1.27635 | + | 3.99923i | −0.0546226 | + | 0.171151i | ||||
\(547\) | −1.52587 | − | 3.34119i | −0.0652416 | − | 0.142859i | 0.874202 | − | 0.485562i | \(-0.161385\pi\) |
−0.939444 | + | 0.342703i | \(0.888658\pi\) | |||||||
\(548\) | 5.65114 | − | 4.44410i | 0.241405 | − | 0.189843i | ||||
\(549\) | 0.405285 | + | 8.50797i | 0.0172971 | + | 0.363111i | ||||
\(550\) | −0.409399 | − | 1.18288i | −0.0174568 | − | 0.0504382i | ||||
\(551\) | −7.59456 | − | 13.1542i | −0.323539 | − | 0.560386i | ||||
\(552\) | 6.80735 | + | 0.793913i | 0.289740 | + | 0.0337912i | ||||
\(553\) | 13.0964 | + | 35.0626i | 0.556915 | + | 1.49101i | ||||
\(554\) | 2.19388 | − | 2.53187i | 0.0932090 | − | 0.107569i | ||||
\(555\) | −8.22229 | − | 4.23888i | −0.349017 | − | 0.179931i | ||||
\(556\) | 12.4028 | + | 4.96535i | 0.525998 | + | 0.210578i | ||||
\(557\) | 43.9317 | + | 4.19497i | 1.86145 | + | 0.177747i | 0.964446 | − | 0.264280i | \(-0.0851343\pi\) |
0.897002 | + | 0.442027i | \(0.145740\pi\) | |||||||
\(558\) | −9.06494 | + | 3.62905i | −0.383750 | + | 0.153630i | ||||
\(559\) | −9.08308 | + | 2.66703i | −0.384174 | + | 0.112804i | ||||
\(560\) | −6.06882 | + | 1.94313i | −0.256455 | + | 0.0821122i | ||||
\(561\) | −6.46067 | + | 14.1469i | −0.272770 | + | 0.597282i | ||||
\(562\) | 6.01182 | + | 24.7811i | 0.253593 | + | 1.04533i | ||||
\(563\) | −22.3824 | + | 4.31385i | −0.943304 | + | 0.181807i | −0.637642 | − | 0.770333i | \(-0.720090\pi\) |
−0.305662 | + | 0.952140i | \(0.598878\pi\) | |||||||
\(564\) | 10.4363 | − | 2.01144i | 0.439448 | − | 0.0846968i | ||||
\(565\) | 2.24425 | + | 9.25093i | 0.0944164 | + | 0.389190i | ||||
\(566\) | 3.65991 | − | 8.01409i | 0.153838 | − | 0.336857i | ||||
\(567\) | −13.1258 | + | 4.20264i | −0.551230 | + | 0.176494i | ||||
\(568\) | 14.0765 | − | 4.13324i | 0.590638 | − | 0.173427i | ||||
\(569\) | 29.5936 | − | 11.8475i | 1.24063 | − | 0.496672i | 0.343795 | − | 0.939045i | \(-0.388287\pi\) |
0.896831 | + | 0.442373i | \(0.145863\pi\) | |||||||
\(570\) | −13.6245 | − | 1.30098i | −0.570668 | − | 0.0544922i | ||||
\(571\) | 4.49886 | + | 1.80107i | 0.188272 | + | 0.0753726i | 0.463883 | − | 0.885897i | \(-0.346456\pi\) |
−0.275611 | + | 0.961269i | \(0.588880\pi\) | |||||||
\(572\) | −1.54237 | − | 0.795148i | −0.0644898 | − | 0.0332468i | ||||
\(573\) | −13.3606 | + | 15.4190i | −0.558147 | + | 0.644136i | ||||
\(574\) | 0.0793386 | + | 0.212411i | 0.00331153 | + | 0.00886586i | ||||
\(575\) | −2.83466 | + | 2.59193i | −0.118214 | + | 0.108091i | ||||
\(576\) | 0.478905 | + | 0.829488i | 0.0199544 | + | 0.0345620i | ||||
\(577\) | −8.53981 | − | 24.6741i | −0.355517 | − | 1.02720i | −0.971006 | − | 0.239053i | \(-0.923163\pi\) |
0.615490 | − | 0.788145i | \(-0.288958\pi\) | |||||||
\(578\) | −1.49830 | − | 31.4532i | −0.0623211 | − | 1.30828i | ||||
\(579\) | 4.62849 | − | 3.63989i | 0.192354 | − | 0.151269i | ||||
\(580\) | 3.82179 | + | 8.36855i | 0.158691 | + | 0.347485i | ||||
\(581\) | 2.32109 | − | 7.27276i | 0.0962950 | − | 0.301725i | ||||
\(582\) | 11.8009 | − | 3.46506i | 0.489163 | − | 0.143631i | ||||
\(583\) | 0.546423 | − | 11.4708i | 0.0226305 | − | 0.475073i | ||||
\(584\) | 8.33916 | + | 11.7107i | 0.345077 | + | 0.484593i | ||||
\(585\) | −1.85374 | + | 1.76753i | −0.0766426 | + | 0.0730786i | ||||
\(586\) | 5.98529 | − | 17.2934i | 0.247250 | − | 0.714382i | ||||
\(587\) | 9.31820 | + | 10.7538i | 0.384603 | + | 0.443856i | 0.914732 | − | 0.404061i | \(-0.132402\pi\) |
−0.530128 | + | 0.847917i | \(0.677856\pi\) | |||||||
\(588\) | 0.941541 | − | 9.95895i | 0.0388285 | − | 0.410700i | ||||
\(589\) | 16.8401 | − | 36.8746i | 0.693882 | − | 1.51939i | ||||
\(590\) | 0.761697 | − | 15.9900i | 0.0313586 | − | 0.658298i | ||||
\(591\) | −9.01590 | + | 37.1641i | −0.370865 | + | 1.52873i | ||||
\(592\) | −2.11265 | − | 1.66141i | −0.0868293 | − | 0.0682833i | ||||
\(593\) | 1.77334 | − | 2.49030i | 0.0728222 | − | 0.102265i | −0.776558 | − | 0.630045i | \(-0.783036\pi\) |
0.849381 | + | 0.527781i | \(0.176976\pi\) | |||||||
\(594\) | −1.25800 | − | 8.74956i | −0.0516162 | − | 0.358999i | ||||
\(595\) | −40.7821 | + | 17.4865i | −1.67190 | + | 0.716878i | ||||
\(596\) | −0.176403 | + | 0.203580i | −0.00722573 | + | 0.00833894i | ||||
\(597\) | 12.0322 | + | 20.8404i | 0.492445 | + | 0.852939i | ||||
\(598\) | −0.364473 | + | 5.31234i | −0.0149044 | + | 0.217238i | ||||
\(599\) | −8.24992 | + | 14.2893i | −0.337083 | + | 0.583844i | −0.983883 | − | 0.178815i | \(-0.942774\pi\) |
0.646800 | + | 0.762660i | \(0.276107\pi\) | |||||||
\(600\) | 1.12385 | + | 0.216605i | 0.0458812 | + | 0.00884287i | ||||
\(601\) | 16.9460 | − | 10.8905i | 0.691241 | − | 0.444233i | −0.147286 | − | 0.989094i | \(-0.547054\pi\) |
0.838527 | + | 0.544861i | \(0.183417\pi\) | |||||||
\(602\) | 19.7935 | − | 10.8201i | 0.806725 | − | 0.440996i | ||||
\(603\) | −2.07821 | − | 4.55064i | −0.0846312 | − | 0.185316i | ||||
\(604\) | 16.1466 | − | 6.46413i | 0.656997 | − | 0.263022i | ||||
\(605\) | 4.85912 | − | 20.0296i | 0.197551 | − | 0.814318i | ||||
\(606\) | 9.12742 | − | 4.70551i | 0.370776 | − | 0.191148i | ||||
\(607\) | −9.19853 | + | 0.878354i | −0.373357 | + | 0.0356513i | −0.280048 | − | 0.959986i | \(-0.590350\pi\) |
−0.0933088 | + | 0.995637i | \(0.529744\pi\) | |||||||
\(608\) | −3.81538 | − | 1.12030i | −0.154734 | − | 0.0454340i | ||||
\(609\) | −14.4379 | + | 0.350461i | −0.585055 | + | 0.0142014i | ||||
\(610\) | 14.0261 | + | 16.1869i | 0.567898 | + | 0.655390i | ||||
\(611\) | 1.94684 | + | 8.02496i | 0.0787605 | + | 0.324655i | ||||
\(612\) | 3.86876 | + | 5.43291i | 0.156385 | + | 0.219612i | ||||
\(613\) | 28.7234 | − | 14.8080i | 1.16013 | − | 0.598088i | 0.232870 | − | 0.972508i | \(-0.425188\pi\) |
0.927259 | + | 0.374420i | \(0.122158\pi\) | |||||||
\(614\) | 12.2797 | + | 11.7087i | 0.495570 | + | 0.472525i | ||||
\(615\) | 0.0419791 | − | 0.291971i | 0.00169276 | − | 0.0117734i | ||||
\(616\) | 3.99460 | + | 1.06834i | 0.160947 | + | 0.0430448i | ||||
\(617\) | −4.69771 | − | 32.6733i | −0.189123 | − | 1.31538i | −0.834285 | − | 0.551333i | \(-0.814120\pi\) |
0.645163 | − | 0.764045i | \(-0.276790\pi\) | |||||||
\(618\) | −5.12107 | − | 2.64009i | −0.205999 | − | 0.106200i | ||||
\(619\) | −9.66762 | − | 27.9328i | −0.388574 | − | 1.12271i | −0.954488 | − | 0.298248i | \(-0.903598\pi\) |
0.565914 | − | 0.824464i | \(-0.308523\pi\) | |||||||
\(620\) | −12.2767 | + | 21.2639i | −0.493046 | + | 0.853980i | ||||
\(621\) | −23.1204 | + | 14.1847i | −0.927788 | + | 0.569211i | ||||
\(622\) | −8.65547 | −0.347053 | ||||||||
\(623\) | −6.46065 | − | 2.40625i | −0.258840 | − | 0.0964042i | ||||
\(624\) | 1.33480 | − | 0.857824i | 0.0534348 | − | 0.0343404i | ||||
\(625\) | 22.2949 | − | 17.5329i | 0.891796 | − | 0.701316i | ||||
\(626\) | −2.07935 | − | 0.198554i | −0.0831075 | − | 0.00793580i | ||||
\(627\) | 6.98107 | + | 5.48998i | 0.278797 | + | 0.219249i | ||||
\(628\) | 2.33967 | + | 2.23087i | 0.0933631 | + | 0.0890216i | ||||
\(629\) | −15.7443 | − | 10.1182i | −0.627766 | − | 0.403441i | ||||
\(630\) | 3.41867 | − | 5.05619i | 0.136203 | − | 0.201443i | ||||
\(631\) | −44.5251 | − | 13.0737i | −1.77252 | − | 0.520458i | −0.778303 | − | 0.627889i | \(-0.783919\pi\) |
−0.994213 | + | 0.107431i | \(0.965737\pi\) | |||||||
\(632\) | 4.62692 | − | 13.3686i | 0.184049 | − | 0.531775i | ||||
\(633\) | −6.90879 | + | 1.33156i | −0.274600 | + | 0.0529248i | ||||
\(634\) | 1.97497 | − | 1.88313i | 0.0784361 | − | 0.0747886i | ||||
\(635\) | 18.4306 | − | 1.75991i | 0.731397 | − | 0.0698400i | ||||
\(636\) | 8.83356 | + | 5.67698i | 0.350273 | + | 0.225107i | ||||
\(637\) | 7.76366 | + | 0.362532i | 0.307607 | + | 0.0143640i | ||||
\(638\) | 0.849596 | − | 5.90907i | 0.0336358 | − | 0.233942i | ||||
\(639\) | −8.15087 | + | 11.4463i | −0.322443 | + | 0.452808i | ||||
\(640\) | 2.23598 | + | 0.895152i | 0.0883849 | + | 0.0353840i | ||||
\(641\) | 2.03210 | + | 42.6590i | 0.0802630 | + | 1.68493i | 0.576779 | + | 0.816900i | \(0.304309\pi\) |
−0.496516 | + | 0.868027i | \(0.665388\pi\) | |||||||
\(642\) | 7.04928 | + | 1.35864i | 0.278213 | + | 0.0536211i | ||||
\(643\) | −5.92403 | −0.233621 | −0.116810 | − | 0.993154i | \(-0.537267\pi\) | ||||
−0.116810 | + | 0.993154i | \(0.537267\pi\) | |||||||
\(644\) | −1.84805 | − | 12.5533i | −0.0728236 | − | 0.494668i | ||||
\(645\) | −29.3458 | −1.15549 | ||||||||
\(646\) | −27.1892 | − | 5.24030i | −1.06975 | − | 0.206177i | ||||
\(647\) | 0.855593 | + | 17.9611i | 0.0336368 | + | 0.706124i | 0.951208 | + | 0.308551i | \(0.0998442\pi\) |
−0.917571 | + | 0.397572i | \(0.869853\pi\) | |||||||
\(648\) | 4.83602 | + | 1.93605i | 0.189977 | + | 0.0760553i | ||||
\(649\) | −6.02545 | + | 8.46156i | −0.236520 | + | 0.332145i | ||||
\(650\) | −0.126553 | + | 0.880198i | −0.00496383 | + | 0.0345242i | ||||
\(651\) | −23.1133 | − | 30.8456i | −0.905882 | − | 1.20893i | ||||
\(652\) | −17.2762 | − | 11.1027i | −0.676587 | − | 0.434816i | ||||
\(653\) | −22.6477 | + | 2.16260i | −0.886275 | + | 0.0846290i | −0.528256 | − | 0.849085i | \(-0.677154\pi\) |
−0.358019 | + | 0.933714i | \(0.616548\pi\) | |||||||
\(654\) | −1.93308 | + | 1.84319i | −0.0755893 | + | 0.0720743i | ||||
\(655\) | 16.5567 | − | 3.19105i | 0.646926 | − | 0.124685i | ||||
\(656\) | 0.0280301 | − | 0.0809878i | 0.00109439 | − | 0.00316204i | ||||
\(657\) | −13.2121 | − | 3.87943i | −0.515455 | − | 0.151351i | ||||
\(658\) | −8.60625 | − | 17.6956i | −0.335506 | − | 0.689846i | ||||
\(659\) | −3.71704 | − | 2.38880i | −0.144795 | − | 0.0930543i | 0.466237 | − | 0.884660i | \(-0.345609\pi\) |
−0.611033 | + | 0.791605i | \(0.709246\pi\) | |||||||
\(660\) | −3.89315 | − | 3.71211i | −0.151541 | − | 0.144494i | ||||
\(661\) | 19.5868 | + | 15.4032i | 0.761837 | + | 0.599116i | 0.921646 | − | 0.388032i | \(-0.126845\pi\) |
−0.159808 | + | 0.987148i | \(0.551088\pi\) | |||||||
\(662\) | 28.1268 | + | 2.68579i | 1.09318 | + | 0.104386i | ||||
\(663\) | 8.68485 | − | 6.82984i | 0.337292 | − | 0.265249i | ||||
\(664\) | −2.42739 | + | 1.55999i | −0.0942010 | + | 0.0605393i | ||||
\(665\) | 4.21372 | + | 24.9864i | 0.163401 | + | 0.968931i | ||||
\(666\) | 2.57428 | 0.0997511 | ||||||||
\(667\) | −17.6809 | + | 4.79256i | −0.684608 | + | 0.185569i | ||||
\(668\) | −7.60051 | + | 13.1645i | −0.294073 | + | 0.509349i | ||||
\(669\) | 2.61233 | + | 7.54784i | 0.100999 | + | 0.291816i | ||||
\(670\) | −11.1814 | − | 5.76442i | −0.431975 | − | 0.222699i | ||||
\(671\) | −1.97795 | − | 13.7569i | −0.0763578 | − | 0.531080i | ||||
\(672\) | −2.67226 | + | 2.67476i | −0.103085 | + | 0.103181i | ||||
\(673\) | 0.122614 | − | 0.852797i | 0.00472641 | − | 0.0328729i | −0.987322 | − | 0.158732i | \(-0.949260\pi\) |
0.992048 | + | 0.125859i | \(0.0401686\pi\) | |||||||
\(674\) | −13.4239 | − | 12.7997i | −0.517069 | − | 0.493025i | ||||
\(675\) | −4.02630 | + | 2.07570i | −0.154973 | + | 0.0798939i | ||||
\(676\) | −6.82566 | − | 9.58530i | −0.262525 | − | 0.368665i | ||||
\(677\) | −1.57683 | − | 6.49978i | −0.0606025 | − | 0.249807i | 0.933450 | − | 0.358707i | \(-0.116782\pi\) |
−0.994053 | + | 0.108900i | \(0.965267\pi\) | |||||||
\(678\) | 3.69873 | + | 4.26856i | 0.142049 | + | 0.163933i | ||||
\(679\) | −11.8605 | − | 19.4378i | −0.455163 | − | 0.745955i | ||||
\(680\) | 16.0920 | + | 4.72505i | 0.617101 | + | 0.181197i | ||||
\(681\) | −7.24212 | + | 0.691539i | −0.277519 | + | 0.0264998i | ||||
\(682\) | 14.1616 | − | 7.30082i | 0.542276 | − | 0.279563i | ||||
\(683\) | 8.19748 | − | 33.7905i | 0.313668 | − | 1.29296i | −0.568758 | − | 0.822505i | \(-0.692576\pi\) |
0.882426 | − | 0.470452i | \(-0.155909\pi\) | |||||||
\(684\) | 3.53587 | − | 1.41555i | 0.135197 | − | 0.0541248i | ||||
\(685\) | 7.19307 | + | 15.7506i | 0.274833 | + | 0.601800i | ||||
\(686\) | −18.2595 | + | 3.09690i | −0.697151 | + | 0.118240i | ||||
\(687\) | 33.9530 | − | 21.8203i | 1.29539 | − | 0.832495i | ||||
\(688\) | −8.37202 | − | 1.61357i | −0.319180 | − | 0.0615169i | ||||
\(689\) | −4.07917 | + | 7.06533i | −0.155404 | + | 0.269168i | ||||
\(690\) | −5.72364 | + | 15.4826i | −0.217895 | + | 0.589412i | ||||
\(691\) | −4.38503 | − | 7.59510i | −0.166815 | − | 0.288931i | 0.770484 | − | 0.637460i | \(-0.220015\pi\) |
−0.937298 | + | 0.348529i | \(0.886681\pi\) | |||||||
\(692\) | −9.24535 | + | 10.6697i | −0.351455 | + | 0.405601i | ||||
\(693\) | −3.64004 | + | 1.56078i | −0.138274 | + | 0.0592890i | ||||
\(694\) | −0.307271 | − | 2.13711i | −0.0116638 | − | 0.0811237i | ||||
\(695\) | −18.6646 | + | 26.2108i | −0.707990 | + | 0.994233i | ||||
\(696\) | 4.29078 | + | 3.37431i | 0.162642 | + | 0.127903i | ||||
\(697\) | 0.140694 | − | 0.579950i | 0.00532918 | − | 0.0219672i | ||||
\(698\) | −0.0733355 | + | 1.53950i | −0.00277579 | + | 0.0582710i | ||||
\(699\) | −4.98639 | + | 10.9187i | −0.188603 | + | 0.412982i | ||||
\(700\) | −0.152159 | − | 2.11353i | −0.00575106 | − | 0.0798840i | ||||
\(701\) | −5.96124 | − | 6.87964i | −0.225153 | − | 0.259840i | 0.631922 | − | 0.775032i | \(-0.282266\pi\) |
−0.857075 | + | 0.515191i | \(0.827721\pi\) | |||||||
\(702\) | −2.05391 | + | 5.93440i | −0.0775200 | + | 0.223979i | ||||
\(703\) | −7.73483 | + | 7.37514i | −0.291724 | + | 0.278159i | ||||
\(704\) | −0.906560 | − | 1.27309i | −0.0341673 | − | 0.0479812i | ||||
\(705\) | −1.21803 | + | 25.5696i | −0.0458736 | + | 0.963006i | ||||
\(706\) | 5.71300 | − | 1.67749i | 0.215012 | − | 0.0631331i | ||||
\(707\) | −12.7952 | − | 14.0620i | −0.481213 | − | 0.528854i | ||||
\(708\) | −3.94569 | − | 8.63985i | −0.148288 | − | 0.324706i | ||||
\(709\) | 16.5809 | − | 13.0394i | 0.622708 | − | 0.489703i | −0.256244 | − | 0.966612i | \(-0.582485\pi\) |
0.878953 | + | 0.476909i | \(0.158243\pi\) | |||||||
\(710\) | 1.68129 | + | 35.2947i | 0.0630978 | + | 1.32459i | ||||
\(711\) | 4.43172 | + | 12.8046i | 0.166202 | + | 0.480210i | ||||
\(712\) | 1.30288 | + | 2.25666i | 0.0488275 | + | 0.0845718i | ||||
\(713\) | −37.7909 | − | 31.0190i | −1.41528 | − | 1.16167i | ||||
\(714\) | −16.7533 | + | 20.3099i | −0.626975 | + | 0.760079i | ||||
\(715\) | 2.73693 | − | 3.15859i | 0.102356 | − | 0.118125i | ||||
\(716\) | 9.17605 | + | 4.73058i | 0.342925 | + | 0.176790i | ||||
\(717\) | −22.1030 | − | 8.84870i | −0.825451 | − | 0.330461i | ||||
\(718\) | −34.6032 | − | 3.30420i | −1.29138 | − | 0.123312i | ||||
\(719\) | −15.7242 | + | 6.29501i | −0.586413 | + | 0.234764i | −0.645846 | − | 0.763468i | \(-0.723495\pi\) |
0.0594327 | + | 0.998232i | \(0.481071\pi\) | |||||||
\(720\) | −2.21345 | + | 0.649927i | −0.0824904 | + | 0.0242214i | ||||
\(721\) | −2.26253 | + | 10.4242i | −0.0842612 | + | 0.388219i | ||||
\(722\) | 1.32426 | − | 2.89972i | 0.0492838 | − | 0.107916i | ||||
\(723\) | 3.26245 | + | 13.4480i | 0.121332 | + | 0.500136i | ||||
\(724\) | 13.4731 | − | 2.59672i | 0.500722 | − | 0.0965063i | ||||
\(725\) | −3.00399 | + | 0.578972i | −0.111565 | + | 0.0215025i | ||||
\(726\) | −2.88309 | − | 11.8843i | −0.107001 | − | 0.441066i | ||||
\(727\) | −8.21507 | + | 17.9885i | −0.304680 | + | 0.667157i | −0.998600 | − | 0.0528956i | \(-0.983155\pi\) |
0.693920 | + | 0.720052i | \(0.255882\pi\) | |||||||
\(728\) | −2.17460 | − | 1.97498i | −0.0805959 | − | 0.0731975i | ||||
\(729\) | −28.0529 | + | 8.23707i | −1.03900 | + | 0.305077i | ||||
\(730\) | −32.1455 | + | 12.8691i | −1.18976 | + | 0.476307i | ||||
\(731\) | −59.1017 | − | 5.64353i | −2.18596 | − | 0.208734i | ||||
\(732\) | 11.7980 | + | 4.72319i | 0.436065 | + | 0.174574i | ||||
\(733\) | 42.0583 | + | 21.6825i | 1.55346 | + | 0.800863i | 0.999498 | − | 0.0316812i | \(-0.0100861\pi\) |
0.553959 | + | 0.832544i | \(0.313116\pi\) | |||||||
\(734\) | 14.2666 | − | 16.4645i | 0.526590 | − | 0.607717i | ||||
\(735\) | 22.7754 | + | 7.85875i | 0.840085 | + | 0.289874i | ||||
\(736\) | −2.48420 | + | 4.10229i | −0.0915687 | + | 0.151212i | ||||
\(737\) | 4.08153 | + | 7.06942i | 0.150345 | + | 0.260405i | ||||
\(738\) | 0.0268476 | + | 0.0775710i | 0.000988273 | + | 0.00285543i | ||||
\(739\) | 2.19236 | + | 46.0233i | 0.0806472 | + | 1.69299i | 0.570587 | + | 0.821237i | \(0.306716\pi\) |
−0.489940 | + | 0.871756i | \(0.662981\pi\) | |||||||
\(740\) | 5.08833 | − | 4.00151i | 0.187051 | − | 0.147098i | ||||
\(741\) | −2.62100 | − | 5.73920i | −0.0962850 | − | 0.210835i | ||||
\(742\) | 5.91072 | − | 18.5203i | 0.216989 | − | 0.679901i | ||||
\(743\) | 48.4368 | − | 14.2223i | 1.77697 | − | 0.521766i | 0.782123 | − | 0.623124i | \(-0.214137\pi\) |
0.994850 | + | 0.101358i | \(0.0323188\pi\) | |||||||
\(744\) | −0.693194 | + | 14.5519i | −0.0254137 | + | 0.533500i | ||||
\(745\) | −0.376335 | − | 0.528489i | −0.0137879 | − | 0.0193623i | ||||
\(746\) | −12.5158 | + | 11.9338i | −0.458235 | + | 0.436926i | ||||
\(747\) | 0.903920 | − | 2.61171i | 0.0330727 | − | 0.0955573i | ||||
\(748\) | −7.12682 | − | 8.22479i | −0.260583 | − | 0.300728i | ||||
\(749\) | −0.954403 | − | 13.2569i | −0.0348731 | − | 0.484398i | ||||
\(750\) | 6.00390 | − | 13.1467i | 0.219232 | − | 0.480050i | ||||
\(751\) | −0.0355489 | + | 0.746263i | −0.00129720 | + | 0.0272315i | −0.999423 | − | 0.0339617i | \(-0.989188\pi\) |
0.998126 | + | 0.0611933i | \(0.0194906\pi\) | |||||||
\(752\) | −1.75343 | + | 7.22773i | −0.0639409 | + | 0.263568i | ||||
\(753\) | −5.68448 | − | 4.47032i | −0.207154 | − | 0.162908i | ||||
\(754\) | −2.46008 | + | 3.45469i | −0.0895906 | + | 0.125812i | ||||
\(755\) | 5.96156 | + | 41.4635i | 0.216963 | + | 1.50901i | ||||
\(756\) | 1.76956 | − | 14.8592i | 0.0643584 | − | 0.540422i | ||||
\(757\) | −27.7543 | + | 32.0301i | −1.00875 | + | 1.16415i | −0.0223530 | + | 0.999750i | \(0.507116\pi\) |
−0.986393 | + | 0.164405i | \(0.947430\pi\) | |||||||
\(758\) | −8.91714 | − | 15.4449i | −0.323885 | − | 0.560985i | ||||
\(759\) | 8.55611 | − | 6.44381i | 0.310567 | − | 0.233895i | ||||
\(760\) | 4.78866 | − | 8.29421i | 0.173703 | − | 0.300862i | ||||
\(761\) | 14.5463 | + | 2.80357i | 0.527304 | + | 0.101629i | 0.445953 | − | 0.895056i | \(-0.352865\pi\) |
0.0813502 | + | 0.996686i | \(0.474077\pi\) | |||||||
\(762\) | 9.24141 | − | 5.93909i | 0.334781 | − | 0.215151i | ||||
\(763\) | 4.22370 | + | 2.57176i | 0.152908 | + | 0.0931041i | ||||
\(764\) | −5.93077 | − | 12.9866i | −0.214568 | − | 0.469838i | ||||
\(765\) | −14.9131 | + | 5.97032i | −0.539185 | + | 0.215857i | ||||
\(766\) | −7.11391 | + | 29.3239i | −0.257036 | + | 1.05952i | ||||
\(767\) | 6.55927 | − | 3.38154i | 0.236841 | − | 0.122100i | ||||
\(768\) | 1.42258 | − | 0.135840i | 0.0513330 | − | 0.00490170i | ||||
\(769\) | −1.34015 | − | 0.393503i | −0.0483270 | − | 0.0141901i | 0.257480 | − | 0.966284i | \(-0.417108\pi\) |
−0.305807 | + | 0.952094i | \(0.598926\pi\) | |||||||
\(770\) | −4.76882 | + | 8.74319i | −0.171856 | + | 0.315083i | ||||
\(771\) | −10.8255 | − | 12.4933i | −0.389872 | − | 0.449936i | ||||
\(772\) | 0.971422 | + | 4.00426i | 0.0349622 | + | 0.144116i | ||||
\(773\) | −1.64687 | − | 2.31270i | −0.0592336 | − | 0.0831820i | 0.783897 | − | 0.620891i | \(-0.213229\pi\) |
−0.843130 | + | 0.537709i | \(0.819290\pi\) | |||||||
\(774\) | 7.25857 | − | 3.74205i | 0.260904 | − | 0.134505i | ||||
\(775\) | −5.90917 | − | 5.63438i | −0.212264 | − | 0.202393i | ||||
\(776\) | −1.22483 | + | 8.51887i | −0.0439688 | + | 0.305810i | ||||
\(777\) | 2.63468 | + | 9.81435i | 0.0945186 | + | 0.352088i | ||||
\(778\) | −2.73195 | − | 19.0012i | −0.0979453 | − | 0.681224i | ||||
\(779\) | −0.302904 | − | 0.156158i | −0.0108527 | − | 0.00559494i | ||||
\(780\) | 1.24990 | + | 3.61135i | 0.0447536 | + | 0.129307i | ||||
\(781\) | 11.4644 | − | 19.8568i | 0.410227 | − | 0.710534i | ||||
\(782\) | −14.5048 | + | 30.0808i | −0.518689 | + | 1.07569i | ||||
\(783\) | −21.6043 | −0.772073 | ||||||||
\(784\) | 6.06546 | + | 3.49431i | 0.216623 | + | 0.124797i | ||||
\(785\) | −6.55015 | + | 4.20952i | −0.233785 | + | 0.150244i | ||||
\(786\) | 7.86406 | − | 6.18437i | 0.280502 | − | 0.220589i | ||||
\(787\) | 38.4909 | + | 3.67544i | 1.37205 | + | 0.131015i | 0.754906 | − | 0.655833i | \(-0.227682\pi\) |
0.617147 | + | 0.786848i | \(0.288288\pi\) | |||||||
\(788\) | −21.0351 | − | 16.5422i | −0.749345 | − | 0.589291i | ||||
\(789\) | 0.313534 | + | 0.298954i | 0.0111621 | + | 0.0106430i | ||||
\(790\) | 28.6635 | + | 18.4209i | 1.01980 | + | 0.655387i | ||||
\(791\) | 5.85713 | − | 8.66265i | 0.208256 | − | 0.308009i | ||||
\(792\) | 1.43631 | + | 0.421738i | 0.0510370 | + | 0.0149858i | ||||
\(793\) | −3.22937 | + | 9.33066i | −0.114678 | + | 0.331341i | ||||
\(794\) | 31.3347 | − | 6.03928i | 1.11203 | − | 0.214326i | ||||
\(795\) | −18.3036 | + | 17.4524i | −0.649161 | + | 0.618973i | ||||
\(796\) | −16.7632 | + | 1.60069i | −0.594154 | + | 0.0567348i | ||||
\(797\) | 5.82665 | + | 3.74456i | 0.206391 | + | 0.132639i | 0.639753 | − | 0.768581i | \(-0.279037\pi\) |
−0.433362 | + | 0.901220i | \(0.642673\pi\) | |||||||
\(798\) | 9.01557 | + | 12.0316i | 0.319148 | + | 0.425915i | ||||
\(799\) | −7.37040 | + | 51.2622i | −0.260746 | + | 1.81353i | ||||
\(800\) | −0.464572 | + | 0.652400i | −0.0164251 | + | 0.0230658i | ||||
\(801\) | −2.31705 | − | 0.927605i | −0.0818688 | − | 0.0327753i | ||||
\(802\) | −0.0557386 | − | 1.17010i | −0.00196820 | − | 0.0413176i | ||||
\(803\) | 22.0627 | + | 4.25223i | 0.778574 | + | 0.150058i | ||||
\(804\) | −7.46406 | −0.263237 | ||||||||
\(805\) | 30.4318 | + | 2.80250i | 1.07258 | + | 0.0987753i | ||||
\(806\) | −11.3190 | −0.398693 | ||||||||
\(807\) | 9.23632 | + | 1.78015i | 0.325134 | + | 0.0626644i | ||||
\(808\) | 0.341917 | + | 7.17772i | 0.0120286 | + | 0.252511i | ||||
\(809\) | −34.4297 | − | 13.7836i | −1.21048 | − | 0.484604i | −0.323421 | − | 0.946255i | \(-0.604833\pi\) |
−0.887062 | + | 0.461651i | \(0.847257\pi\) | |||||||
\(810\) | −7.27758 | + | 10.2199i | −0.255708 | + | 0.359092i | ||||
\(811\) | 4.55208 | − | 31.6604i | 0.159845 | − | 1.11175i | −0.739071 | − | 0.673627i | \(-0.764735\pi\) |
0.898916 | − | 0.438120i | \(-0.144356\pi\) | |||||||
\(812\) | 3.97393 | − | 9.29204i | 0.139458 | − | 0.326087i | ||||
\(813\) | −2.32413 | − | 1.49363i | −0.0815107 | − | 0.0523838i | ||||
\(814\) | −4.18148 | + | 0.399283i | −0.146561 | + | 0.0139949i | ||||
\(815\) | 35.7971 | − | 34.1324i | 1.25392 | − | 1.19561i | ||||
\(816\) | 9.77122 | − | 1.88325i | 0.342061 | − | 0.0659269i | ||||
\(817\) | −11.0888 | + | 32.0390i | −0.387948 | + | 1.12090i | ||||
\(818\) | −12.1377 | − | 3.56394i | −0.424384 | − | 0.124610i | ||||
\(819\) | 2.80658 | + | 0.199408i | 0.0980697 | + | 0.00696786i | ||||
\(820\) | 0.173645 | + | 0.111595i | 0.00606395 | + | 0.00389706i | ||||
\(821\) | −3.87215 | − | 3.69208i | −0.135139 | − | 0.128855i | 0.619495 | − | 0.785000i | \(-0.287337\pi\) |
−0.754634 | + | 0.656146i | \(0.772186\pi\) | |||||||
\(822\) | 8.07577 | + | 6.35085i | 0.281675 | + | 0.221511i | ||||
\(823\) | 25.3148 | + | 2.41727i | 0.882419 | + | 0.0842608i | 0.526419 | − | 0.850225i | \(-0.323534\pi\) |
0.356000 | + | 0.934486i | \(0.384140\pi\) | |||||||
\(824\) | 3.16915 | − | 2.49225i | 0.110403 | − | 0.0868216i | ||||
\(825\) | 1.50482 | − | 0.967086i | 0.0523910 | − | 0.0336696i | ||||
\(826\) | −13.5549 | + | 11.2025i | −0.471634 | + | 0.389786i | ||||
\(827\) | −4.45162 | −0.154798 | −0.0773990 | − | 0.997000i | \(-0.524662\pi\) | ||||
−0.0773990 | + | 0.997000i | \(0.524662\pi\) | |||||||
\(828\) | −0.558554 | − | 4.55941i | −0.0194111 | − | 0.158451i | ||||
\(829\) | 4.98431 | − | 8.63309i | 0.173112 | − | 0.299839i | −0.766394 | − | 0.642371i | \(-0.777951\pi\) |
0.939506 | + | 0.342531i | \(0.111284\pi\) | |||||||
\(830\) | −2.27299 | − | 6.56739i | −0.0788968 | − | 0.227957i | ||||
\(831\) | 4.25533 | + | 2.19378i | 0.147616 | + | 0.0761012i | ||||
\(832\) | 0.158013 | + | 1.09900i | 0.00547810 | + | 0.0381010i | ||||
\(833\) | 44.3579 | + | 20.2073i | 1.53691 | + | 0.700142i | ||||
\(834\) | −2.71706 | + | 18.8976i | −0.0940841 | + | 0.654369i | ||||
\(835\) | −26.4972 | − | 25.2650i | −0.916973 | − | 0.874332i | ||||
\(836\) | −5.52387 | + | 2.84775i | −0.191047 | + | 0.0984916i | ||||
\(837\) | −33.4456 | − | 46.9678i | −1.15605 | − | 1.62344i | ||||
\(838\) | 5.36370 | + | 22.1095i | 0.185286 | + | 0.763759i | ||||
\(839\) | −1.27933 | − | 1.47643i | −0.0441674 | − | 0.0509719i | 0.733236 | − | 0.679974i | \(-0.238009\pi\) |
−0.777403 | + | 0.629002i | \(0.783464\pi\) | |||||||
\(840\) | −4.74321 | − | 7.77353i | −0.163656 | − | 0.268212i | ||||
\(841\) | 13.8257 | + | 4.05960i | 0.476749 | + | 0.139986i | ||||
\(842\) | 20.5119 | − | 1.95865i | 0.706887 | − | 0.0674995i | ||||
\(843\) | −32.3897 | + | 16.6981i | −1.11556 | + | 0.575112i | ||||
\(844\) | 1.16076 | − | 4.78472i | 0.0399550 | − | 0.164697i | ||||
\(845\) | 26.3113 | − | 10.5335i | 0.905136 | − | 0.362362i | ||||
\(846\) | −2.95925 | − | 6.47985i | −0.101741 | − | 0.222782i | ||||
\(847\) | −19.8662 | + | 10.8599i | −0.682612 | + | 0.373150i | ||||
\(848\) | −6.18141 | + | 3.97255i | −0.212271 | + | 0.136418i | ||||
\(849\) | 12.3628 | + | 2.38273i | 0.424290 | + | 0.0817752i | ||||
\(850\) | −2.78852 | + | 4.82985i | −0.0956453 | + | 0.165663i | ||||
\(851\) | 6.21009 | + | 11.2950i | 0.212879 | + | 0.387187i | ||||
\(852\) | 10.4827 | + | 18.1565i | 0.359130 | + | 0.622031i | ||||
\(853\) | 32.8009 | − | 37.8543i | 1.12308 | − | 1.29611i | 0.172716 | − | 0.984972i | \(-0.444746\pi\) |
0.950366 | − | 0.311134i | \(-0.100709\pi\) | |||||||
\(854\) | 2.78228 | − | 23.3631i | 0.0952078 | − | 0.799467i | ||||
\(855\) | 1.30549 | + | 9.07989i | 0.0446469 | + | 0.310526i | ||||
\(856\) | −2.91399 | + | 4.09212i | −0.0995980 | + | 0.139866i | ||||
\(857\) | 2.28553 | + | 1.79736i | 0.0780723 | + | 0.0613967i | 0.656432 | − | 0.754385i | \(-0.272065\pi\) |
−0.578360 | + | 0.815782i | \(0.696307\pi\) | |||||||
\(858\) | 0.584634 | − | 2.40989i | 0.0199591 | − | 0.0822724i | ||||
\(859\) | 2.40350 | − | 50.4557i | 0.0820064 | − | 1.72153i | −0.465774 | − | 0.884904i | \(-0.654224\pi\) |
0.547781 | − | 0.836622i | \(-0.315473\pi\) | |||||||
\(860\) | 8.53061 | − | 18.6794i | 0.290892 | − | 0.636964i | ||||
\(861\) | −0.268260 | + | 0.181747i | −0.00914226 | + | 0.00619391i | ||||
\(862\) | 23.3458 | + | 26.9424i | 0.795160 | + | 0.917663i | ||||
\(863\) | −11.5163 | + | 33.2741i | −0.392019 | + | 1.13266i | 0.560492 | + | 0.828160i | \(0.310612\pi\) |
−0.952511 | + | 0.304504i | \(0.901509\pi\) | |||||||
\(864\) | −4.09338 | + | 3.90303i | −0.139260 | + | 0.132784i | ||||
\(865\) | −19.7239 | − | 27.6983i | −0.670633 | − | 0.941772i | ||||
\(866\) | 1.51649 | − | 31.8351i | 0.0515325 | − | 1.08180i | ||||
\(867\) | 43.1764 | − | 12.6777i | 1.46635 | − | 0.430559i | ||||
\(868\) | 26.3530 | − | 5.74568i | 0.894478 | − | 0.195021i | ||||
\(869\) | −9.18465 | − | 20.1116i | −0.311568 | − | 0.682239i | ||||
\(870\) | −10.3344 | + | 8.12704i | −0.350368 | + | 0.275533i | ||||
\(871\) | −0.275937 | − | 5.79264i | −0.00934978 | − | 0.196276i | ||||
\(872\) | −0.611309 | − | 1.76626i | −0.0207015 | − | 0.0598131i | ||||
\(873\) | −4.12169 | − | 7.13897i | −0.139498 | − | 0.241618i | ||||
\(874\) | 14.7407 | + | 12.0993i | 0.498612 | + | 0.409264i | ||||
\(875\) | −26.3895 | − | 4.42489i | −0.892129 | − | 0.149589i | ||||
\(876\) | −13.4539 | + | 15.5266i | −0.454566 | + | 0.524597i | ||||
\(877\) | 28.8225 | + | 14.8590i | 0.973267 | + | 0.501754i | 0.870081 | − | 0.492908i | \(-0.164066\pi\) |
0.103186 | + | 0.994662i | \(0.467096\pi\) | |||||||
\(878\) | −24.5175 | − | 9.81532i | −0.827425 | − | 0.331251i | ||||
\(879\) | 26.0330 | + | 2.48585i | 0.878071 | + | 0.0838456i | ||||
\(880\) | 3.49457 | − | 1.39902i | 0.117802 | − | 0.0471608i | ||||
\(881\) | 38.7436 | − | 11.3761i | 1.30531 | − | 0.383272i | 0.446137 | − | 0.894965i | \(-0.352800\pi\) |
0.859169 | + | 0.511693i | \(0.170981\pi\) | |||||||
\(882\) | −6.63553 | + | 0.960398i | −0.223430 | + | 0.0323383i | ||||
\(883\) | −5.76693 | + | 12.6278i | −0.194073 | + | 0.424960i | −0.981504 | − | 0.191443i | \(-0.938683\pi\) |
0.787431 | + | 0.616403i | \(0.211411\pi\) | |||||||
\(884\) | 1.82276 | + | 7.51354i | 0.0613062 | + | 0.252708i | ||||
\(885\) | 22.4630 | − | 4.32940i | 0.755087 | − | 0.145531i | ||||
\(886\) | −11.8758 | + | 2.28887i | −0.398975 | + | 0.0768961i | ||||
\(887\) | −4.13629 | − | 17.0500i | −0.138883 | − | 0.572484i | −0.998141 | − | 0.0609418i | \(-0.980590\pi\) |
0.859258 | − | 0.511542i | \(-0.170926\pi\) | |||||||
\(888\) | 1.59553 | − | 3.49373i | 0.0535425 | − | 0.117242i | ||||
\(889\) | −15.0557 | − | 13.6736i | −0.504951 | − | 0.458599i | ||||
\(890\) | −6.02178 | + | 1.76815i | −0.201850 | + | 0.0592686i | ||||
\(891\) | 7.55813 | − | 3.02582i | 0.253207 | − | 0.101369i | ||||
\(892\) | −5.56380 | − | 0.531278i | −0.186290 | − | 0.0177885i | ||||
\(893\) | 27.4559 | + | 10.9917i | 0.918777 | + | 0.367823i | ||||
\(894\) | −0.342157 | − | 0.176394i | −0.0114434 | − | 0.00589951i | ||||
\(895\) | −16.2829 | + | 18.7915i | −0.544277 | + | 0.628129i | ||||
\(896\) | −0.925758 | − | 2.47850i | −0.0309274 | − | 0.0828009i | ||||
\(897\) | −7.50040 | + | 1.28362i | −0.250431 | + | 0.0428588i | ||||
\(898\) | −17.8246 | − | 30.8731i | −0.594814 | − | 1.03025i | ||||
\(899\) | −12.7362 | − | 36.7988i | −0.424776 | − | 1.22731i | ||||
\(900\) | −0.0365009 | − | 0.766249i | −0.00121670 | − | 0.0255416i | ||||
\(901\) | −40.2192 | + | 31.6287i | −1.33990 | + | 1.05371i | ||||
\(902\) | −0.0556411 | − | 0.121837i | −0.00185265 | − | 0.00405673i | ||||
\(903\) | 21.6954 | + | 23.8432i | 0.721976 | + | 0.793453i | ||||
\(904\) | −3.79225 | + | 1.11351i | −0.126128 | + | 0.0370347i | ||||
\(905\) | −1.57245 | + | 33.0097i | −0.0522699 | + | 1.09728i | ||||
\(906\) | 14.4172 | + | 20.2461i | 0.478978 | + | 0.672631i | ||||
\(907\) | −3.41439 | + | 3.25561i | −0.113373 | + | 0.108101i | −0.744645 | − | 0.667460i | \(-0.767381\pi\) |
0.631273 | + | 0.775561i | \(0.282533\pi\) | |||||||
\(908\) | 1.66505 | − | 4.81084i | 0.0552566 | − | 0.159653i | ||||
\(909\) | −4.50721 | − | 5.20159i | −0.149495 | − | 0.172526i | ||||
\(910\) | 5.85746 | − | 3.96845i | 0.194173 | − | 0.131553i | ||||
\(911\) | 18.5813 | − | 40.6874i | 0.615626 | − | 1.34803i | −0.303032 | − | 0.952980i | \(-0.597999\pi\) |
0.918658 | − | 0.395053i | \(-0.129274\pi\) | |||||||
\(912\) | 0.270387 | − | 5.67613i | 0.00895341 | − | 0.187955i | ||||
\(913\) | −1.06318 | + | 4.38249i | −0.0351861 | + | 0.145039i | ||||
\(914\) | 18.1769 | + | 14.2945i | 0.601238 | + | 0.472819i | ||||
\(915\) | −17.7544 | + | 24.9325i | −0.586941 | + | 0.824244i | ||||
\(916\) | 4.01933 | + | 27.9550i | 0.132802 | + | 0.923660i | ||||
\(917\) | −14.8331 | − | 11.0931i | −0.489832 | − | 0.366326i | ||||
\(918\) | −25.7913 | + | 29.7647i | −0.851239 | + | 0.982382i | ||||
\(919\) | 0.229512 | + | 0.397526i | 0.00757089 | + | 0.0131132i | 0.869786 | − | 0.493429i | \(-0.164257\pi\) |
−0.862215 | + | 0.506542i | \(0.830923\pi\) | |||||||
\(920\) | −8.19128 | − | 8.14394i | −0.270059 | − | 0.268498i | ||||
\(921\) | −12.1235 | + | 20.9985i | −0.399483 | + | 0.691924i | ||||
\(922\) | −32.7419 | − | 6.31049i | −1.07830 | − | 0.207825i | ||||
\(923\) | −13.7032 | + | 8.80651i | −0.451046 | + | 0.289870i | ||||
\(924\) | −0.137854 | + | 5.90752i | −0.00453505 | + | 0.194343i | ||||
\(925\) | 0.894210 | + | 1.95805i | 0.0294015 | + | 0.0643802i | ||||
\(926\) | 20.1843 | − | 8.08056i | 0.663296 | − | 0.265544i | ||||
\(927\) | −0.910414 | + | 3.75278i | −0.0299019 | + | 0.123257i | ||||
\(928\) | −3.39514 | + | 1.75032i | −0.111451 | + | 0.0574569i | ||||
\(929\) | 27.8858 | − | 2.66277i | 0.914904 | − | 0.0873627i | 0.373027 | − | 0.927821i | \(-0.378320\pi\) |
0.541877 | + | 0.840458i | \(0.317714\pi\) | |||||||
\(930\) | −33.6669 | − | 9.88549i | −1.10398 | − | 0.324158i | ||||
\(931\) | 17.1860 | − | 21.8961i | 0.563250 | − | 0.717615i | ||||
\(932\) | −5.50054 | − | 6.34796i | −0.180176 | − | 0.207934i | ||||
\(933\) | −2.91613 | − | 12.0204i | −0.0954698 | − | 0.393532i | ||||
\(934\) | −15.2613 | − | 21.4315i | −0.499364 | − | 0.701259i | ||||
\(935\) | 23.2979 | − | 12.0109i | 0.761922 | − | 0.392798i | ||||
\(936\) | −0.769662 | − | 0.733871i | −0.0251572 | − | 0.0239873i | ||||
\(937\) | 3.90761 | − | 27.1780i | 0.127656 | − | 0.887868i | −0.820858 | − | 0.571132i | \(-0.806504\pi\) |
0.948514 | − | 0.316735i | \(-0.102587\pi\) | |||||||
\(938\) | 3.58287 | + | 13.3464i | 0.116985 | + | 0.435777i | ||||
\(939\) | −0.424812 | − | 2.95463i | −0.0138632 | − | 0.0964207i | ||||
\(940\) | −15.9217 | − | 8.20820i | −0.519308 | − | 0.267722i | ||||
\(941\) | −17.5586 | − | 50.7323i | −0.572395 | − | 1.65383i | −0.743626 | − | 0.668596i | \(-0.766895\pi\) |
0.171230 | − | 0.985231i | \(-0.445226\pi\) | |||||||
\(942\) | −2.30991 | + | 4.00087i | −0.0752608 | + | 0.130356i | ||||
\(943\) | −0.275587 | + | 0.304927i | −0.00897434 | + | 0.00992978i | ||||
\(944\) | 6.64649 | 0.216325 | ||||||||
\(945\) | 33.7748 | + | 12.5793i | 1.09869 | + | 0.409205i | ||||
\(946\) | −11.2099 | + | 7.20419i | −0.364467 | + | 0.234228i | ||||
\(947\) | −29.6417 | + | 23.3105i | −0.963225 | + | 0.757489i | −0.970155 | − | 0.242487i | \(-0.922037\pi\) |
0.00692922 | + | 0.999976i | \(0.497794\pi\) | |||||||
\(948\) | 20.1248 | + | 1.92168i | 0.653623 | + | 0.0624134i | ||||
\(949\) | −12.5471 | − | 9.86719i | −0.407298 | − | 0.320302i | ||||
\(950\) | 2.30493 | + | 2.19774i | 0.0747818 | + | 0.0713043i | ||||
\(951\) | 3.28062 | + | 2.10833i | 0.106381 | + | 0.0683672i | ||||
\(952\) | −8.05778 | − | 16.5679i | −0.261154 | − | 0.536968i | ||||
\(953\) | −26.8878 | − | 7.89496i | −0.870980 | − | 0.255743i | −0.184448 | − | 0.982842i | \(-0.559050\pi\) |
−0.686532 | + | 0.727100i | \(0.740868\pi\) | |||||||
\(954\) | 2.30186 | − | 6.65078i | 0.0745254 | − | 0.215327i | ||||
\(955\) | 33.7642 | − | 6.50752i | 1.09259 | − | 0.210579i | ||||
\(956\) | 12.0576 | − | 11.4969i | 0.389971 | − | 0.371837i | ||||
\(957\) | 8.49258 | − | 0.810943i | 0.274526 | − | 0.0262141i | ||||
\(958\) | 3.84048 | + | 2.46813i | 0.124080 | + | 0.0797416i | ||||
\(959\) | 7.47941 | − | 17.4887i | 0.241523 | − | 0.564741i | ||||
\(960\) | −0.489831 | + | 3.40685i | −0.0158092 | + | 0.109956i | ||||
\(961\) | 42.3021 | − | 59.4050i | 1.36458 | − | 1.91629i | ||||
\(962\) | 2.77036 | + | 1.10909i | 0.0893201 | + | 0.0357584i | ||||
\(963\) | −0.228949 | − | 4.80623i | −0.00737777 | − | 0.154878i | ||||
\(964\) | −9.50840 | − | 1.83259i | −0.306245 | − | 0.0590239i | ||||
\(965\) | −9.92402 | −0.319466 | ||||||||
\(966\) | 16.8110 | − | 6.79587i | 0.540884 | − | 0.218653i | ||||
\(967\) | 2.59698 | 0.0835134 | 0.0417567 | − | 0.999128i | \(-0.486705\pi\) | ||||
0.0417567 | + | 0.999128i | \(0.486705\pi\) | |||||||
\(968\) | 8.40276 | + | 1.61950i | 0.270075 | + | 0.0520527i | ||||
\(969\) | −1.88281 | − | 39.5251i | −0.0604847 | − | 1.26973i | ||||
\(970\) | −19.2439 | − | 7.70410i | −0.617885 | − | 0.247364i | ||||
\(971\) | −10.9032 | + | 15.3114i | −0.349900 | + | 0.491365i | −0.951593 | − | 0.307362i | \(-0.900554\pi\) |
0.601693 | + | 0.798727i | \(0.294493\pi\) | |||||||
\(972\) | 1.35535 | − | 9.42664i | 0.0434728 | − | 0.302360i | ||||
\(973\) | 35.0949 | − | 4.21279i | 1.12509 | − | 0.135056i | ||||
\(974\) | 7.61675 | + | 4.89499i | 0.244056 | + | 0.156845i | ||||
\(975\) | −1.26503 | + | 0.120796i | −0.0405134 | + | 0.00386856i | ||||
\(976\) | −6.43602 | + | 6.13674i | −0.206012 | + | 0.196432i | ||||
\(977\) | −11.6449 | + | 2.24437i | −0.372553 | + | 0.0718037i | −0.372091 | − | 0.928196i | \(-0.621359\pi\) |
−0.000461848 | 1.00000i | \(0.500147\pi\) | ||||||||
\(978\) | 9.59856 | − | 27.7332i | 0.306928 | − | 0.886811i | ||||
\(979\) | 3.90753 | + | 1.14736i | 0.124885 | + | 0.0366696i | ||||
\(980\) | −11.6230 | + | 12.2127i | −0.371282 | + | 0.390122i | ||||
\(981\) | 1.50601 | + | 0.967857i | 0.0480833 | + | 0.0309013i | ||||
\(982\) | −23.1765 | − | 22.0987i | −0.739590 | − | 0.705198i | ||||
\(983\) | −13.5508 | − | 10.6564i | −0.432202 | − | 0.339888i | 0.378239 | − | 0.925708i | \(-0.376530\pi\) |
−0.810441 | + | 0.585821i | \(0.800772\pi\) | |||||||
\(984\) | 0.121917 | + | 0.0116417i | 0.00388657 | + | 0.000371123i | ||||
\(985\) | 50.6632 | − | 39.8420i | 1.61426 | − | 1.26947i | ||||
\(986\) | −22.3761 | + | 14.3802i | −0.712600 | + | 0.457960i | ||||
\(987\) | 21.6756 | − | 17.9139i | 0.689940 | − | 0.570207i | ||||
\(988\) | 4.41507 | 0.140462 | ||||||||
\(989\) | 33.9291 | + | 22.8207i | 1.07888 | + | 0.725658i | ||||
\(990\) | −1.80270 | + | 3.12237i | −0.0572936 | + | 0.0992354i | ||||
\(991\) | −0.0975994 | − | 0.281995i | −0.00310035 | − | 0.00895787i | 0.943440 | − | 0.331543i | \(-0.107569\pi\) |
−0.946540 | + | 0.322585i | \(0.895448\pi\) | |||||||
\(992\) | −9.06122 | − | 4.67138i | −0.287694 | − | 0.148317i | ||||
\(993\) | 5.74632 | + | 39.9665i | 0.182354 | + | 1.26830i | ||||
\(994\) | 27.4337 | − | 27.4594i | 0.870143 | − | 0.870959i | ||||
\(995\) | 5.77198 | − | 40.1450i | 0.182984 | − | 1.27268i | ||||
\(996\) | −2.98428 | − | 2.84550i | −0.0945605 | − | 0.0901633i | ||||
\(997\) | 16.3481 | − | 8.42801i | 0.517748 | − | 0.266918i | −0.179487 | − | 0.983760i | \(-0.557444\pi\) |
0.697235 | + | 0.716843i | \(0.254413\pi\) | |||||||
\(998\) | 19.7008 | + | 27.6659i | 0.623618 | + | 0.875748i | ||||
\(999\) | 3.58382 | + | 14.7727i | 0.113387 | + | 0.467388i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 322.2.m.a.39.3 | ✓ | 160 | |
7.2 | even | 3 | inner | 322.2.m.a.177.6 | yes | 160 | |
23.13 | even | 11 | inner | 322.2.m.a.151.6 | yes | 160 | |
161.128 | even | 33 | inner | 322.2.m.a.289.3 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.m.a.39.3 | ✓ | 160 | 1.1 | even | 1 | trivial | |
322.2.m.a.151.6 | yes | 160 | 23.13 | even | 11 | inner | |
322.2.m.a.177.6 | yes | 160 | 7.2 | even | 3 | inner | |
322.2.m.a.289.3 | yes | 160 | 161.128 | even | 33 | inner |