Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(23,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([33, 33, 28]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.bd (of order \(66\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(2640\) |
Relative dimension: | \(132\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 23.20 | ||
Character | \(\chi\) | \(=\) | 804.23 |
Dual form | 804.2.bd.a.35.20 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{14}{33}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.28787 | − | 0.584297i | −0.910658 | − | 0.413161i | ||||
\(3\) | −1.68798 | − | 0.388227i | −0.974556 | − | 0.224143i | ||||
\(4\) | 1.31719 | + | 1.50499i | 0.658597 | + | 0.752496i | ||||
\(5\) | −0.837417 | + | 0.382435i | −0.374504 | + | 0.171030i | −0.593770 | − | 0.804635i | \(-0.702361\pi\) |
0.219266 | + | 0.975665i | \(0.429634\pi\) | |||||||
\(6\) | 1.94705 | + | 1.48627i | 0.794880 | + | 0.606766i | ||||
\(7\) | 3.05562 | + | 3.20464i | 1.15492 | + | 1.21124i | 0.973709 | + | 0.227797i | \(0.0731522\pi\) |
0.181208 | + | 0.983445i | \(0.441999\pi\) | |||||||
\(8\) | −0.817004 | − | 2.70786i | −0.288855 | − | 0.957373i | ||||
\(9\) | 2.69856 | + | 1.31064i | 0.899520 | + | 0.436880i | ||||
\(10\) | 1.30194 | − | 0.00322483i | 0.411708 | − | 0.00101978i | ||||
\(11\) | 2.13552 | + | 0.203917i | 0.643882 | + | 0.0614833i | 0.411889 | − | 0.911234i | \(-0.364869\pi\) |
0.231993 | + | 0.972717i | \(0.425475\pi\) | |||||||
\(12\) | −1.63912 | − | 3.05177i | −0.473173 | − | 0.880970i | ||||
\(13\) | −2.08322 | − | 0.401508i | −0.577782 | − | 0.111358i | −0.108015 | − | 0.994149i | \(-0.534450\pi\) |
−0.469766 | + | 0.882791i | \(0.655662\pi\) | |||||||
\(14\) | −2.06276 | − | 5.91254i | −0.551297 | − | 1.58019i | ||||
\(15\) | 1.56202 | − | 0.320435i | 0.403311 | − | 0.0827361i | ||||
\(16\) | −0.530004 | + | 3.96473i | −0.132501 | + | 0.991183i | ||||
\(17\) | −1.63403 | + | 3.16958i | −0.396311 | + | 0.768735i | −0.999585 | − | 0.0287983i | \(-0.990832\pi\) |
0.603275 | + | 0.797533i | \(0.293862\pi\) | |||||||
\(18\) | −2.70958 | − | 3.26469i | −0.638653 | − | 0.769495i | ||||
\(19\) | 2.30859 | − | 2.42118i | 0.529628 | − | 0.555458i | −0.403511 | − | 0.914975i | \(-0.632210\pi\) |
0.933138 | + | 0.359517i | \(0.117059\pi\) | |||||||
\(20\) | −1.67860 | − | 0.756564i | −0.375347 | − | 0.169173i | ||||
\(21\) | −3.91370 | − | 6.59565i | −0.854040 | − | 1.43929i | ||||
\(22\) | −2.63111 | − | 1.51039i | −0.560954 | − | 0.322017i | ||||
\(23\) | 2.93067 | − | 1.17326i | 0.611087 | − | 0.244642i | −0.0454129 | − | 0.998968i | \(-0.514460\pi\) |
0.656500 | + | 0.754326i | \(0.272036\pi\) | |||||||
\(24\) | 0.327822 | + | 4.88800i | 0.0669164 | + | 0.997759i | ||||
\(25\) | −2.71929 | + | 3.13823i | −0.543859 | + | 0.627647i | ||||
\(26\) | 2.44831 | + | 1.73431i | 0.480153 | + | 0.340126i | ||||
\(27\) | −4.04629 | − | 3.25999i | −0.778709 | − | 0.627386i | ||||
\(28\) | −0.798121 | + | 8.81982i | −0.150831 | + | 1.66679i | ||||
\(29\) | −8.62550 | − | 4.97993i | −1.60171 | − | 0.924750i | −0.991144 | − | 0.132788i | \(-0.957607\pi\) |
−0.610570 | − | 0.791962i | \(-0.709060\pi\) | |||||||
\(30\) | −2.19889 | − | 0.500004i | −0.401461 | − | 0.0912877i | ||||
\(31\) | 1.08798 | + | 5.64497i | 0.195407 | + | 1.01387i | 0.938657 | + | 0.344853i | \(0.112071\pi\) |
−0.743250 | + | 0.669014i | \(0.766717\pi\) | |||||||
\(32\) | 2.99916 | − | 4.79636i | 0.530181 | − | 0.847885i | ||||
\(33\) | −3.52554 | − | 1.17327i | −0.613718 | − | 0.204241i | ||||
\(34\) | 3.95639 | − | 3.12723i | 0.678515 | − | 0.536315i | ||||
\(35\) | −3.78440 | − | 1.51504i | −0.639680 | − | 0.256089i | ||||
\(36\) | 1.58202 | + | 5.78768i | 0.263670 | + | 0.964613i | ||||
\(37\) | −0.0290824 | − | 0.0503722i | −0.00478111 | − | 0.00828113i | 0.863625 | − | 0.504135i | \(-0.168189\pi\) |
−0.868406 | + | 0.495854i | \(0.834855\pi\) | |||||||
\(38\) | −4.38785 | + | 1.76925i | −0.711803 | + | 0.287011i | ||||
\(39\) | 3.36056 | + | 1.48650i | 0.538120 | + | 0.238031i | ||||
\(40\) | 1.71975 | + | 1.95516i | 0.271917 | + | 0.309137i | ||||
\(41\) | 3.16113 | − | 0.150583i | 0.493685 | − | 0.0235171i | 0.200736 | − | 0.979645i | \(-0.435667\pi\) |
0.292949 | + | 0.956128i | \(0.405363\pi\) | |||||||
\(42\) | 1.18650 | + | 10.7811i | 0.183080 | + | 1.66356i | ||||
\(43\) | 2.25726 | + | 3.51237i | 0.344229 | + | 0.535631i | 0.969600 | − | 0.244697i | \(-0.0786885\pi\) |
−0.625370 | + | 0.780328i | \(0.715052\pi\) | |||||||
\(44\) | 2.50599 | + | 3.48253i | 0.377793 | + | 0.525012i | ||||
\(45\) | −2.76105 | − | 0.0655280i | −0.411594 | − | 0.00976834i | ||||
\(46\) | −4.45984 | − | 0.201378i | −0.657568 | − | 0.0296916i | ||||
\(47\) | −0.135786 | − | 0.106783i | −0.0198064 | − | 0.0155760i | 0.608207 | − | 0.793779i | \(-0.291889\pi\) |
−0.628013 | + | 0.778203i | \(0.716132\pi\) | |||||||
\(48\) | 2.43385 | − | 6.48663i | 0.351297 | − | 0.936264i | ||||
\(49\) | −0.599845 | + | 12.5923i | −0.0856921 | + | 1.79890i | ||||
\(50\) | 5.33574 | − | 2.45274i | 0.754588 | − | 0.346870i | ||||
\(51\) | 3.98873 | − | 4.71581i | 0.558534 | − | 0.660345i | ||||
\(52\) | −2.13974 | − | 3.66410i | −0.296728 | − | 0.508119i | ||||
\(53\) | −5.17743 | + | 8.05623i | −0.711174 | + | 1.10661i | 0.278102 | + | 0.960552i | \(0.410295\pi\) |
−0.989276 | + | 0.146057i | \(0.953342\pi\) | |||||||
\(54\) | 3.30627 | + | 6.56267i | 0.449926 | + | 0.893066i | ||||
\(55\) | −1.86630 | + | 0.645933i | −0.251652 | + | 0.0870976i | ||||
\(56\) | 6.18127 | − | 10.8924i | 0.826007 | − | 1.45556i | ||||
\(57\) | −4.83683 | + | 3.19065i | −0.640654 | + | 0.422612i | ||||
\(58\) | 8.19872 | + | 11.4533i | 1.07654 | + | 1.50390i | ||||
\(59\) | 8.26955 | + | 9.54357i | 1.07660 | + | 1.24247i | 0.968681 | + | 0.248307i | \(0.0798742\pi\) |
0.107922 | + | 0.994159i | \(0.465580\pi\) | |||||||
\(60\) | 2.53973 | + | 1.92875i | 0.327878 | + | 0.249000i | ||||
\(61\) | 11.0474 | − | 1.05490i | 1.41448 | − | 0.135066i | 0.640343 | − | 0.768089i | \(-0.278792\pi\) |
0.774133 | + | 0.633023i | \(0.218186\pi\) | |||||||
\(62\) | 1.89717 | − | 7.90567i | 0.240941 | − | 1.00402i | ||||
\(63\) | 4.04564 | + | 12.6527i | 0.509703 | + | 1.59410i | ||||
\(64\) | −6.66501 | + | 4.42466i | −0.833126 | + | 0.553083i | ||||
\(65\) | 1.89807 | − | 0.460468i | 0.235427 | − | 0.0571140i | ||||
\(66\) | 3.85488 | + | 3.57098i | 0.474503 | + | 0.439558i | ||||
\(67\) | −6.69669 | − | 4.70684i | −0.818131 | − | 0.575032i | ||||
\(68\) | −6.92252 | + | 1.71574i | −0.839479 | + | 0.208064i | ||||
\(69\) | −5.40241 | + | 0.842680i | −0.650374 | + | 0.101447i | ||||
\(70\) | 3.98856 | + | 4.16239i | 0.476724 | + | 0.497500i | ||||
\(71\) | 1.27422 | − | 0.656908i | 0.151223 | − | 0.0779607i | −0.380954 | − | 0.924594i | \(-0.624404\pi\) |
0.532177 | + | 0.846633i | \(0.321374\pi\) | |||||||
\(72\) | 1.34430 | − | 8.37812i | 0.158427 | − | 0.987371i | ||||
\(73\) | −0.405416 | + | 0.0387126i | −0.0474504 | + | 0.00453096i | −0.118754 | − | 0.992924i | \(-0.537890\pi\) |
0.0713038 | + | 0.997455i | \(0.477284\pi\) | |||||||
\(74\) | 0.00802186 | + | 0.0818653i | 0.000932523 | + | 0.00951665i | ||||
\(75\) | 5.80846 | − | 4.24157i | 0.670704 | − | 0.489775i | ||||
\(76\) | 6.68473 | + | 0.285250i | 0.766791 | + | 0.0327204i | ||||
\(77\) | 5.87185 | + | 7.46666i | 0.669159 | + | 0.850905i | ||||
\(78\) | −3.45939 | − | 3.87798i | −0.391699 | − | 0.439095i | ||||
\(79\) | −2.72312 | + | 0.942482i | −0.306375 | + | 0.106038i | −0.475930 | − | 0.879483i | \(-0.657888\pi\) |
0.169554 | + | 0.985521i | \(0.445767\pi\) | |||||||
\(80\) | −1.07242 | − | 3.52282i | −0.119900 | − | 0.393864i | ||||
\(81\) | 5.56444 | + | 7.07368i | 0.618271 | + | 0.785965i | ||||
\(82\) | −4.15909 | − | 1.65311i | −0.459295 | − | 0.182555i | ||||
\(83\) | −5.41507 | + | 7.60441i | −0.594381 | + | 0.834692i | −0.996731 | − | 0.0807943i | \(-0.974254\pi\) |
0.402349 | + | 0.915486i | \(0.368194\pi\) | |||||||
\(84\) | 4.77131 | − | 14.5778i | 0.520593 | − | 1.59057i | ||||
\(85\) | 0.156206 | − | 3.27917i | 0.0169429 | − | 0.355676i | ||||
\(86\) | −0.854781 | − | 5.84237i | −0.0921734 | − | 0.629999i | ||||
\(87\) | 12.6263 | + | 11.7547i | 1.35368 | + | 1.26023i | ||||
\(88\) | −1.19255 | − | 5.94928i | −0.127126 | − | 0.634195i | ||||
\(89\) | −5.56546 | + | 0.800192i | −0.589938 | + | 0.0848202i | −0.430818 | − | 0.902439i | \(-0.641775\pi\) |
−0.159120 | + | 0.987259i | \(0.550866\pi\) | |||||||
\(90\) | 3.51758 | + | 1.69767i | 0.370785 | + | 0.178950i | ||||
\(91\) | −5.07885 | − | 7.90284i | −0.532408 | − | 0.828443i | ||||
\(92\) | 5.62601 | + | 2.86522i | 0.586552 | + | 0.298720i | ||||
\(93\) | 0.355045 | − | 9.95099i | 0.0368164 | − | 1.03187i | ||||
\(94\) | 0.112481 | + | 0.216862i | 0.0116015 | + | 0.0223676i | ||||
\(95\) | −1.00731 | + | 2.91043i | −0.103348 | + | 0.298604i | ||||
\(96\) | −6.92460 | + | 6.93181i | −0.706739 | + | 0.707475i | ||||
\(97\) | −2.40390 | − | 4.16367i | −0.244079 | − | 0.422757i | 0.717793 | − | 0.696256i | \(-0.245152\pi\) |
−0.961872 | + | 0.273499i | \(0.911819\pi\) | |||||||
\(98\) | 8.13016 | − | 15.8667i | 0.821270 | − | 1.60278i | ||||
\(99\) | 5.49555 | + | 3.34918i | 0.552324 | + | 0.336605i | ||||
\(100\) | −8.30485 | + | 0.0411416i | −0.830485 | + | 0.00411416i | ||||
\(101\) | 17.6548 | + | 4.28301i | 1.75672 | + | 0.426175i | 0.979235 | − | 0.202729i | \(-0.0649810\pi\) |
0.777483 | + | 0.628904i | \(0.216496\pi\) | |||||||
\(102\) | −7.89238 | + | 3.74272i | −0.781462 | + | 0.370585i | ||||
\(103\) | 0.293281 | + | 1.52169i | 0.0288979 | + | 0.149936i | 0.993512 | − | 0.113731i | \(-0.0362801\pi\) |
−0.964614 | + | 0.263667i | \(0.915068\pi\) | |||||||
\(104\) | 0.614773 | + | 5.96910i | 0.0602834 | + | 0.585319i | ||||
\(105\) | 5.79981 | + | 4.02657i | 0.566003 | + | 0.392953i | ||||
\(106\) | 11.3751 | − | 7.35018i | 1.10484 | − | 0.713913i | ||||
\(107\) | −7.66719 | + | 16.7888i | −0.741215 | + | 1.62304i | 0.0403295 | + | 0.999186i | \(0.487159\pi\) |
−0.781545 | + | 0.623849i | \(0.785568\pi\) | |||||||
\(108\) | −0.423483 | − | 10.3837i | −0.0407497 | − | 0.999169i | ||||
\(109\) | −5.08438 | + | 5.86769i | −0.486995 | + | 0.562023i | −0.945060 | − | 0.326896i | \(-0.893997\pi\) |
0.458065 | + | 0.888919i | \(0.348543\pi\) | |||||||
\(110\) | 2.78096 | + | 0.258600i | 0.265154 | + | 0.0246566i | ||||
\(111\) | 0.0295347 | + | 0.0963178i | 0.00280331 | + | 0.00914208i | ||||
\(112\) | −14.3250 | + | 10.4162i | −1.35359 | + | 0.984243i | ||||
\(113\) | −13.6754 | + | 9.73823i | −1.28648 | + | 0.916096i | −0.999129 | − | 0.0417304i | \(-0.986713\pi\) |
−0.287348 | + | 0.957826i | \(0.592774\pi\) | |||||||
\(114\) | 8.09348 | − | 1.28298i | 0.758024 | − | 0.120162i | ||||
\(115\) | −2.00550 | + | 2.10330i | −0.187013 | + | 0.196134i | ||||
\(116\) | −3.86668 | − | 19.5408i | −0.359013 | − | 1.81432i | ||||
\(117\) | −5.09546 | − | 3.81385i | −0.471076 | − | 0.352590i | ||||
\(118\) | −5.07378 | − | 17.1227i | −0.467079 | − | 1.57627i | ||||
\(119\) | −15.1503 | + | 4.44854i | −1.38883 | + | 0.407797i | ||||
\(120\) | −2.14387 | − | 3.96792i | −0.195707 | − | 0.362220i | ||||
\(121\) | −6.28237 | − | 1.21083i | −0.571125 | − | 0.110075i | ||||
\(122\) | −14.8440 | − | 5.09641i | −1.34391 | − | 0.461407i | ||||
\(123\) | −5.39438 | − | 0.973055i | −0.486395 | − | 0.0877374i | ||||
\(124\) | −7.06256 | + | 9.07292i | −0.634237 | + | 0.814772i | ||||
\(125\) | 2.37384 | − | 8.08456i | 0.212323 | − | 0.723105i | ||||
\(126\) | 2.18273 | − | 18.6589i | 0.194453 | − | 1.66227i | ||||
\(127\) | 5.84447 | + | 6.12951i | 0.518613 | + | 0.543906i | 0.930002 | − | 0.367554i | \(-0.119805\pi\) |
−0.411389 | + | 0.911460i | \(0.634956\pi\) | |||||||
\(128\) | 11.1690 | − | 1.80402i | 0.987205 | − | 0.159455i | ||||
\(129\) | −2.44662 | − | 6.80514i | −0.215413 | − | 0.599159i | ||||
\(130\) | −2.71351 | − | 0.516019i | −0.237991 | − | 0.0452579i | ||||
\(131\) | −1.87240 | + | 13.0229i | −0.163593 | + | 1.13781i | 0.728199 | + | 0.685366i | \(0.240358\pi\) |
−0.891791 | + | 0.452447i | \(0.850551\pi\) | |||||||
\(132\) | −2.87805 | − | 6.85134i | −0.250502 | − | 0.596333i | ||||
\(133\) | 14.8132 | 1.28447 | ||||||||
\(134\) | 5.87423 | + | 9.97464i | 0.507457 | + | 0.861677i | ||||
\(135\) | 4.63517 | + | 1.18253i | 0.398932 | + | 0.101776i | ||||
\(136\) | 9.91778 | + | 1.83517i | 0.850442 | + | 0.157364i | ||||
\(137\) | 2.19601 | + | 0.315739i | 0.187618 | + | 0.0269754i | 0.235483 | − | 0.971878i | \(-0.424333\pi\) |
−0.0478653 | + | 0.998854i | \(0.515242\pi\) | |||||||
\(138\) | 7.44995 | + | 2.07136i | 0.634182 | + | 0.176326i | ||||
\(139\) | 15.8148 | − | 7.22237i | 1.34139 | − | 0.612593i | 0.390068 | − | 0.920786i | \(-0.372451\pi\) |
0.951324 | + | 0.308193i | \(0.0997241\pi\) | |||||||
\(140\) | −2.70465 | − | 7.69110i | −0.228585 | − | 0.650016i | ||||
\(141\) | 0.187748 | + | 0.232964i | 0.0158112 | + | 0.0196191i | ||||
\(142\) | −2.02486 | + | 0.101483i | −0.169922 | + | 0.00851630i | ||||
\(143\) | −4.36688 | − | 1.28223i | −0.365177 | − | 0.107226i | ||||
\(144\) | −6.62659 | + | 10.0044i | −0.552216 | + | 0.833701i | ||||
\(145\) | 9.12764 | + | 0.871584i | 0.758009 | + | 0.0723811i | ||||
\(146\) | 0.544741 | + | 0.187027i | 0.0450831 | + | 0.0154785i | ||||
\(147\) | 5.90120 | − | 21.0227i | 0.486723 | − | 1.73392i | ||||
\(148\) | 0.0375026 | − | 0.110119i | 0.00308270 | − | 0.00905170i | ||||
\(149\) | −2.16762 | − | 7.38224i | −0.177579 | − | 0.604777i | −0.999387 | − | 0.0350129i | \(-0.988853\pi\) |
0.821808 | − | 0.569764i | \(-0.192965\pi\) | |||||||
\(150\) | −9.95886 | + | 2.06870i | −0.813137 | + | 0.168909i | ||||
\(151\) | 3.58101 | − | 6.94618i | 0.291418 | − | 0.565272i | −0.696992 | − | 0.717079i | \(-0.745479\pi\) |
0.988410 | + | 0.151806i | \(0.0485091\pi\) | |||||||
\(152\) | −8.44236 | − | 4.27323i | −0.684766 | − | 0.346605i | ||||
\(153\) | −8.56370 | + | 6.41166i | −0.692334 | + | 0.518352i | ||||
\(154\) | −3.19940 | − | 13.0470i | −0.257815 | − | 1.05135i | ||||
\(155\) | −3.06993 | − | 4.31111i | −0.246583 | − | 0.346277i | ||||
\(156\) | 2.18933 | + | 7.01563i | 0.175287 | + | 0.561700i | ||||
\(157\) | 3.76585 | − | 1.50762i | 0.300547 | − | 0.120321i | −0.216487 | − | 0.976285i | \(-0.569460\pi\) |
0.517035 | + | 0.855964i | \(0.327036\pi\) | |||||||
\(158\) | 4.05771 | + | 0.377324i | 0.322814 | + | 0.0300183i | ||||
\(159\) | 11.8670 | − | 11.5887i | 0.941118 | − | 0.919047i | ||||
\(160\) | −0.677246 | + | 5.16353i | −0.0535410 | + | 0.408213i | ||||
\(161\) | 12.7149 | + | 5.80671i | 1.00208 | + | 0.457633i | ||||
\(162\) | −3.03312 | − | 12.3612i | −0.238304 | − | 0.971191i | ||||
\(163\) | −19.9812 | − | 11.5361i | −1.56505 | − | 0.903581i | −0.996733 | − | 0.0807700i | \(-0.974262\pi\) |
−0.568315 | − | 0.822811i | \(-0.692405\pi\) | |||||||
\(164\) | 4.39044 | + | 4.55912i | 0.342836 | + | 0.356008i | ||||
\(165\) | 3.40105 | − | 0.365774i | 0.264771 | − | 0.0284754i | ||||
\(166\) | 11.4171 | − | 6.62944i | 0.886140 | − | 0.514544i | ||||
\(167\) | −1.21258 | + | 4.99832i | −0.0938322 | + | 0.386782i | −0.999291 | − | 0.0376528i | \(-0.988012\pi\) |
0.905459 | + | 0.424434i | \(0.139527\pi\) | |||||||
\(168\) | −14.6626 | + | 15.9864i | −1.13124 | + | 1.23338i | ||||
\(169\) | −7.89018 | − | 3.15875i | −0.606937 | − | 0.242981i | ||||
\(170\) | −2.11718 | + | 4.13185i | −0.162380 | + | 0.316899i | ||||
\(171\) | 9.40318 | − | 3.50797i | 0.719079 | − | 0.268261i | ||||
\(172\) | −2.31284 | + | 8.02363i | −0.176352 | + | 0.611796i | ||||
\(173\) | −12.3934 | − | 4.28941i | −0.942255 | − | 0.326118i | −0.187604 | − | 0.982245i | \(-0.560072\pi\) |
−0.754650 | + | 0.656127i | \(0.772194\pi\) | |||||||
\(174\) | −9.39278 | − | 22.5160i | −0.712064 | − | 1.70693i | ||||
\(175\) | −18.3661 | + | 0.874883i | −1.38834 | + | 0.0661349i | ||||
\(176\) | −1.94031 | + | 8.35867i | −0.146256 | + | 0.630058i | ||||
\(177\) | −10.2538 | − | 19.3198i | −0.770720 | − | 1.45217i | ||||
\(178\) | 7.63511 | + | 2.22134i | 0.572276 | + | 0.166497i | ||||
\(179\) | −1.42746 | − | 9.92822i | −0.106694 | − | 0.742070i | −0.970996 | − | 0.239097i | \(-0.923149\pi\) |
0.864302 | − | 0.502973i | \(-0.167760\pi\) | |||||||
\(180\) | −3.53822 | − | 4.24168i | −0.263723 | − | 0.316156i | ||||
\(181\) | 6.29770 | + | 4.95256i | 0.468104 | + | 0.368121i | 0.824173 | − | 0.566339i | \(-0.191641\pi\) |
−0.356068 | + | 0.934460i | \(0.615883\pi\) | |||||||
\(182\) | 1.92326 | + | 13.1453i | 0.142562 | + | 0.974398i | ||||
\(183\) | −19.0574 | − | 2.50826i | −1.40876 | − | 0.185416i | ||||
\(184\) | −5.57140 | − | 6.97729i | −0.410729 | − | 0.514372i | ||||
\(185\) | 0.0436182 | + | 0.0310604i | 0.00320687 | + | 0.00228360i | ||||
\(186\) | −6.27159 | + | 12.6081i | −0.459855 | + | 0.924469i | ||||
\(187\) | −4.13583 | + | 6.43547i | −0.302442 | + | 0.470608i | ||||
\(188\) | −0.0181484 | − | 0.345011i | −0.00132361 | − | 0.0251625i | ||||
\(189\) | −1.91682 | − | 22.9282i | −0.139428 | − | 1.66778i | ||||
\(190\) | 2.99783 | − | 3.15967i | 0.217486 | − | 0.229227i | ||||
\(191\) | −2.06206 | + | 1.62162i | −0.149205 | + | 0.117336i | −0.689971 | − | 0.723837i | \(-0.742377\pi\) |
0.540766 | + | 0.841173i | \(0.318134\pi\) | |||||||
\(192\) | 12.9682 | − | 4.88121i | 0.935898 | − | 0.352271i | ||||
\(193\) | 1.33074 | + | 1.53576i | 0.0957890 | + | 0.110546i | 0.801620 | − | 0.597834i | \(-0.203972\pi\) |
−0.705831 | + | 0.708380i | \(0.749426\pi\) | |||||||
\(194\) | 0.663073 | + | 6.76684i | 0.0476059 | + | 0.485831i | ||||
\(195\) | −3.38268 | + | 0.0403765i | −0.242239 | + | 0.00289142i | ||||
\(196\) | −19.7414 | + | 15.6837i | −1.41010 | + | 1.12027i | ||||
\(197\) | 6.64729 | + | 12.8939i | 0.473600 | + | 0.918655i | 0.997751 | + | 0.0670299i | \(0.0213523\pi\) |
−0.524151 | + | 0.851625i | \(0.675617\pi\) | |||||||
\(198\) | −5.12062 | − | 7.52432i | −0.363906 | − | 0.534730i | ||||
\(199\) | −4.74106 | + | 1.15017i | −0.336085 | + | 0.0815333i | −0.400250 | − | 0.916406i | \(-0.631077\pi\) |
0.0641652 | + | 0.997939i | \(0.479562\pi\) | |||||||
\(200\) | 10.7196 | + | 4.79952i | 0.757988 | + | 0.339377i | ||||
\(201\) | 9.47655 | + | 10.5449i | 0.668425 | + | 0.743780i | ||||
\(202\) | −20.2344 | − | 15.8316i | −1.42369 | − | 1.11391i | ||||
\(203\) | −10.3973 | − | 42.8584i | −0.729751 | − | 3.00807i | ||||
\(204\) | 12.3512 | − | 0.208626i | 0.864756 | − | 0.0146067i | ||||
\(205\) | −2.58959 | + | 1.33503i | −0.180865 | + | 0.0932423i | ||||
\(206\) | 0.511411 | − | 2.13109i | 0.0356317 | − | 0.148480i | ||||
\(207\) | 9.44632 | + | 0.674936i | 0.656564 | + | 0.0469113i | ||||
\(208\) | 2.69599 | − | 8.04661i | 0.186933 | − | 0.557932i | ||||
\(209\) | 5.42376 | − | 4.69972i | 0.375169 | − | 0.325086i | ||||
\(210\) | −5.11666 | − | 8.57450i | −0.353083 | − | 0.591696i | ||||
\(211\) | −6.46561 | − | 8.22170i | −0.445111 | − | 0.566005i | 0.510785 | − | 0.859708i | \(-0.329355\pi\) |
−0.955897 | + | 0.293703i | \(0.905112\pi\) | |||||||
\(212\) | −18.9442 | + | 2.81963i | −1.30110 | + | 0.193653i | ||||
\(213\) | −2.40590 | + | 0.614160i | −0.164849 | + | 0.0420816i | ||||
\(214\) | 19.6840 | − | 17.1418i | 1.34557 | − | 1.17179i | ||||
\(215\) | −3.23352 | − | 2.07806i | −0.220524 | − | 0.141722i | ||||
\(216\) | −5.52176 | + | 13.6202i | −0.375708 | + | 0.926738i | ||||
\(217\) | −14.7657 | + | 20.7355i | −1.00236 | + | 1.40762i | ||||
\(218\) | 9.97647 | − | 4.58600i | 0.675692 | − | 0.310603i | ||||
\(219\) | 0.699364 | + | 0.0920477i | 0.0472587 | + | 0.00622000i | ||||
\(220\) | −3.43040 | − | 1.95795i | −0.231278 | − | 0.132005i | ||||
\(221\) | 4.67666 | − | 5.94685i | 0.314586 | − | 0.400029i | ||||
\(222\) | 0.0182416 | − | 0.141301i | 0.00122430 | − | 0.00948353i | ||||
\(223\) | 24.8510 | − | 3.57303i | 1.66415 | − | 0.239268i | 0.754994 | − | 0.655732i | \(-0.227640\pi\) |
0.909152 | + | 0.416464i | \(0.136731\pi\) | |||||||
\(224\) | 24.5349 | − | 5.04463i | 1.63931 | − | 0.337059i | ||||
\(225\) | −11.4513 | + | 4.90469i | −0.763418 | + | 0.326979i | ||||
\(226\) | 23.3021 | − | 4.55101i | 1.55004 | − | 0.302729i | ||||
\(227\) | −1.11161 | − | 23.3356i | −0.0737802 | − | 1.54884i | −0.667772 | − | 0.744366i | \(-0.732752\pi\) |
0.593991 | − | 0.804471i | \(-0.297551\pi\) | |||||||
\(228\) | −11.1730 | − | 3.07669i | −0.739947 | − | 0.203759i | ||||
\(229\) | −4.02184 | + | 11.6203i | −0.265770 | + | 0.767893i | 0.730603 | + | 0.682803i | \(0.239239\pi\) |
−0.996373 | + | 0.0850904i | \(0.972882\pi\) | |||||||
\(230\) | 3.81176 | − | 1.53696i | 0.251340 | − | 0.101344i | ||||
\(231\) | −7.01280 | − | 14.8832i | −0.461409 | − | 0.979242i | ||||
\(232\) | −6.43789 | + | 27.4253i | −0.422668 | + | 1.80056i | ||||
\(233\) | −4.08281 | + | 10.1984i | −0.267474 | + | 0.668118i | −0.999919 | − | 0.0127081i | \(-0.995955\pi\) |
0.732445 | + | 0.680826i | \(0.238379\pi\) | |||||||
\(234\) | 4.33385 | + | 7.88899i | 0.283312 | + | 0.515719i | ||||
\(235\) | 0.154547 | + | 0.0374928i | 0.0100816 | + | 0.00244576i | ||||
\(236\) | −3.47040 | + | 25.0163i | −0.225904 | + | 1.62842i | ||||
\(237\) | 4.96248 | − | 0.533701i | 0.322348 | − | 0.0346676i | ||||
\(238\) | 22.1109 | + | 3.12318i | 1.43323 | + | 0.202446i | ||||
\(239\) | 1.81227 | − | 3.13895i | 0.117226 | − | 0.203041i | −0.801441 | − | 0.598073i | \(-0.795933\pi\) |
0.918667 | + | 0.395032i | \(0.129266\pi\) | |||||||
\(240\) | 0.442566 | + | 6.36280i | 0.0285675 | + | 0.410717i | ||||
\(241\) | 8.26298 | − | 18.0934i | 0.532265 | − | 1.16550i | −0.432318 | − | 0.901721i | \(-0.642304\pi\) |
0.964584 | − | 0.263778i | \(-0.0849685\pi\) | |||||||
\(242\) | 7.38336 | + | 5.23016i | 0.474621 | + | 0.336207i | ||||
\(243\) | −6.64647 | − | 14.1005i | −0.426371 | − | 0.904548i | ||||
\(244\) | 16.1392 | + | 15.2368i | 1.03321 | + | 0.975434i | ||||
\(245\) | −4.31342 | − | 10.7744i | −0.275574 | − | 0.688351i | ||||
\(246\) | 6.37868 | + | 4.40509i | 0.406690 | + | 0.280858i | ||||
\(247\) | −5.78144 | + | 4.11694i | −0.367864 | + | 0.261955i | ||||
\(248\) | 14.3969 | − | 7.55806i | 0.914205 | − | 0.479937i | ||||
\(249\) | 12.0928 | − | 10.7338i | 0.766349 | − | 0.680228i | ||||
\(250\) | −7.78097 | + | 9.02479i | −0.492112 | + | 0.570778i | ||||
\(251\) | 13.6185 | + | 7.02080i | 0.859589 | + | 0.443149i | 0.830888 | − | 0.556439i | \(-0.187833\pi\) |
0.0287006 | + | 0.999588i | \(0.490863\pi\) | |||||||
\(252\) | −13.7134 | + | 22.7548i | −0.863863 | + | 1.43342i | ||||
\(253\) | 6.49774 | − | 1.90791i | 0.408510 | − | 0.119949i | ||||
\(254\) | −3.94544 | − | 11.3089i | −0.247559 | − | 0.709583i | ||||
\(255\) | −1.53673 | + | 5.47453i | −0.0962341 | + | 0.342828i | ||||
\(256\) | −15.4382 | − | 4.20265i | −0.964887 | − | 0.262666i | ||||
\(257\) | −2.53463 | + | 26.5438i | −0.158106 | + | 1.65576i | 0.473742 | + | 0.880664i | \(0.342903\pi\) |
−0.631847 | + | 0.775093i | \(0.717703\pi\) | |||||||
\(258\) | −0.825313 | + | 10.1937i | −0.0513817 | + | 0.634629i | ||||
\(259\) | 0.0725601 | − | 0.247117i | 0.00450866 | − | 0.0153551i | ||||
\(260\) | 3.19313 | + | 2.25006i | 0.198030 | + | 0.139543i | ||||
\(261\) | −16.7495 | − | 24.7436i | −1.03677 | − | 1.53159i | ||||
\(262\) | 10.0206 | − | 15.6776i | 0.619076 | − | 0.968568i | ||||
\(263\) | 3.10981 | + | 6.80953i | 0.191759 | + | 0.419894i | 0.980952 | − | 0.194252i | \(-0.0622280\pi\) |
−0.789193 | + | 0.614146i | \(0.789501\pi\) | |||||||
\(264\) | −0.296677 | + | 10.5052i | −0.0182592 | + | 0.646553i | ||||
\(265\) | 1.25467 | − | 8.72645i | 0.0770740 | − | 0.536062i | ||||
\(266\) | −19.0774 | − | 8.65533i | −1.16971 | − | 0.530692i | ||||
\(267\) | 9.70505 | + | 0.809955i | 0.593939 | + | 0.0495684i | ||||
\(268\) | −1.73707 | − | 16.2783i | −0.106108 | − | 0.994355i | ||||
\(269\) | 9.70930i | 0.591987i | 0.955190 | + | 0.295993i | \(0.0956506\pi\) | ||||
−0.955190 | + | 0.295993i | \(0.904349\pi\) | |||||||
\(270\) | −5.27852 | − | 4.23125i | −0.321241 | − | 0.257506i | ||||
\(271\) | 23.3389 | + | 3.35563i | 1.41774 | + | 0.203840i | 0.808195 | − | 0.588915i | \(-0.200445\pi\) |
0.609541 | + | 0.792754i | \(0.291354\pi\) | |||||||
\(272\) | −11.7005 | − | 8.15838i | −0.709446 | − | 0.494674i | ||||
\(273\) | 5.50490 | + | 15.3116i | 0.333171 | + | 0.926699i | ||||
\(274\) | −2.64368 | − | 1.68975i | −0.159711 | − | 0.102082i | ||||
\(275\) | −6.44703 | + | 6.14723i | −0.388771 | + | 0.370692i | ||||
\(276\) | −8.38425 | − | 7.02061i | −0.504672 | − | 0.422591i | ||||
\(277\) | −9.14238 | − | 2.68444i | −0.549312 | − | 0.161293i | −0.00471271 | − | 0.999989i | \(-0.501500\pi\) |
−0.544599 | + | 0.838696i | \(0.683318\pi\) | |||||||
\(278\) | −24.5873 | + | 0.0609015i | −1.47465 | + | 0.00365263i | ||||
\(279\) | −4.46256 | + | 16.6592i | −0.267166 | + | 0.997363i | ||||
\(280\) | −1.01066 | + | 11.4854i | −0.0603984 | + | 0.686385i | ||||
\(281\) | 4.89354 | − | 25.3901i | 0.291924 | − | 1.51465i | −0.479055 | − | 0.877785i | \(-0.659020\pi\) |
0.770979 | − | 0.636861i | \(-0.219767\pi\) | |||||||
\(282\) | −0.105674 | − | 0.409727i | −0.00629279 | − | 0.0243989i | ||||
\(283\) | −0.256587 | − | 0.873855i | −0.0152525 | − | 0.0519453i | 0.951515 | − | 0.307602i | \(-0.0995265\pi\) |
−0.966768 | + | 0.255657i | \(0.917708\pi\) | |||||||
\(284\) | 2.66704 | + | 1.05242i | 0.158260 | + | 0.0624498i | ||||
\(285\) | 2.83023 | − | 4.52168i | 0.167648 | − | 0.267841i | ||||
\(286\) | 4.87474 | + | 4.20289i | 0.288250 | + | 0.248522i | ||||
\(287\) | 10.1418 | + | 9.67016i | 0.598650 | + | 0.570812i | ||||
\(288\) | 14.3797 | − | 9.01244i | 0.847332 | − | 0.531063i | ||||
\(289\) | 2.48481 | + | 3.48942i | 0.146165 | + | 0.205260i | ||||
\(290\) | −11.2459 | − | 6.45574i | −0.660382 | − | 0.379094i | ||||
\(291\) | 2.44128 | + | 7.96146i | 0.143111 | + | 0.466709i | ||||
\(292\) | −0.592274 | − | 0.559157i | −0.0346602 | − | 0.0327222i | ||||
\(293\) | −8.62141 | − | 7.47049i | −0.503668 | − | 0.436431i | 0.365600 | − | 0.930772i | \(-0.380864\pi\) |
−0.869268 | + | 0.494341i | \(0.835409\pi\) | |||||||
\(294\) | −19.8834 | + | 23.6263i | −1.15963 | + | 1.37791i | ||||
\(295\) | −10.5749 | − | 4.82937i | −0.615692 | − | 0.281177i | ||||
\(296\) | −0.112640 | + | 0.119905i | −0.00654709 | + | 0.00696935i | ||||
\(297\) | −7.97615 | − | 7.78687i | −0.462823 | − | 0.451840i | ||||
\(298\) | −1.52182 | + | 10.7739i | −0.0881567 | + | 0.624113i | ||||
\(299\) | −6.57631 | + | 1.26748i | −0.380318 | + | 0.0733003i | ||||
\(300\) | 14.0344 | + | 3.15472i | 0.810277 | + | 0.182138i | ||||
\(301\) | −4.35855 | + | 17.9662i | −0.251223 | + | 1.03555i | ||||
\(302\) | −8.67049 | + | 6.85337i | −0.498931 | + | 0.394367i | ||||
\(303\) | −28.1382 | − | 14.0837i | −1.61650 | − | 0.809088i | ||||
\(304\) | 8.37578 | + | 10.4362i | 0.480384 | + | 0.598557i | ||||
\(305\) | −8.84786 | + | 5.10831i | −0.506627 | + | 0.292501i | ||||
\(306\) | 14.7752 | − | 3.25361i | 0.844643 | − | 0.185996i | ||||
\(307\) | −2.14171 | − | 0.741252i | −0.122234 | − | 0.0423055i | 0.265266 | − | 0.964175i | \(-0.414540\pi\) |
−0.387500 | + | 0.921870i | \(0.626661\pi\) | |||||||
\(308\) | −3.50291 | + | 18.6721i | −0.199597 | + | 1.06394i | ||||
\(309\) | 0.0957076 | − | 2.68244i | 0.00544462 | − | 0.152599i | ||||
\(310\) | 1.43468 | + | 7.34588i | 0.0814845 | + | 0.417218i | ||||
\(311\) | 18.7528 | − | 12.0517i | 1.06337 | − | 0.683389i | 0.112715 | − | 0.993627i | \(-0.464045\pi\) |
0.950659 | + | 0.310238i | \(0.100409\pi\) | |||||||
\(312\) | 1.27964 | − | 10.3144i | 0.0724456 | − | 0.583938i | ||||
\(313\) | 0.418423 | + | 2.91019i | 0.0236506 | + | 0.164494i | 0.998224 | − | 0.0595758i | \(-0.0189748\pi\) |
−0.974573 | + | 0.224070i | \(0.928066\pi\) | |||||||
\(314\) | −5.73080 | − | 0.258766i | −0.323408 | − | 0.0146030i | ||||
\(315\) | −8.22674 | − | 9.04842i | −0.463524 | − | 0.509821i | ||||
\(316\) | −5.00531 | − | 2.85685i | −0.281571 | − | 0.160710i | ||||
\(317\) | 31.8911 | + | 1.51916i | 1.79118 | + | 0.0853246i | 0.916663 | − | 0.399662i | \(-0.130872\pi\) |
0.874522 | + | 0.484986i | \(0.161175\pi\) | |||||||
\(318\) | −22.0544 | + | 7.99086i | −1.23675 | + | 0.448105i | ||||
\(319\) | −17.4044 | − | 12.3936i | −0.974459 | − | 0.693909i | ||||
\(320\) | 3.88924 | − | 6.25422i | 0.217415 | − | 0.349622i | ||||
\(321\) | 19.4599 | − | 25.3626i | 1.08615 | − | 1.41560i | ||||
\(322\) | −12.9823 | − | 14.9075i | −0.723473 | − | 0.830765i | ||||
\(323\) | 3.90182 | + | 11.2736i | 0.217103 | + | 0.627277i | ||||
\(324\) | −3.31639 | + | 17.6918i | −0.184244 | + | 0.982881i | ||||
\(325\) | 6.92492 | − | 5.44581i | 0.384125 | − | 0.302079i | ||||
\(326\) | 18.9925 | + | 26.5320i | 1.05190 | + | 1.46947i | ||||
\(327\) | 10.8603 | − | 7.93065i | 0.600578 | − | 0.438566i | ||||
\(328\) | −2.99041 | − | 8.43686i | −0.165118 | − | 0.465848i | ||||
\(329\) | −0.0727083 | − | 0.761436i | −0.00400854 | − | 0.0419793i | ||||
\(330\) | −4.59381 | − | 1.51616i | −0.252881 | − | 0.0834617i | ||||
\(331\) | 14.1839 | + | 27.5129i | 0.779618 | + | 1.51225i | 0.857040 | + | 0.515250i | \(0.172301\pi\) |
−0.0774219 | + | 0.996998i | \(0.524669\pi\) | |||||||
\(332\) | −18.5773 | + | 1.86683i | −1.01956 | + | 0.102455i | ||||
\(333\) | −0.0124607 | − | 0.174049i | −0.000682843 | − | 0.00953782i | ||||
\(334\) | 4.48214 | − | 5.72865i | 0.245252 | − | 0.313458i | ||||
\(335\) | 7.40798 | + | 1.38054i | 0.404741 | + | 0.0754269i | ||||
\(336\) | 28.2243 | − | 12.0210i | 1.53976 | − | 0.655802i | ||||
\(337\) | 2.00913 | + | 8.28174i | 0.109444 | + | 0.451135i | 0.999993 | − | 0.00375270i | \(-0.00119452\pi\) |
−0.890549 | + | 0.454888i | \(0.849679\pi\) | |||||||
\(338\) | 8.31584 | + | 8.67826i | 0.452322 | + | 0.472035i | ||||
\(339\) | 26.8645 | − | 11.1288i | 1.45908 | − | 0.604432i | ||||
\(340\) | 5.14087 | − | 4.08421i | 0.278803 | − | 0.221497i | ||||
\(341\) | 1.17229 | + | 12.2768i | 0.0634831 | + | 0.664825i | ||||
\(342\) | −14.1597 | − | 0.976461i | −0.765670 | − | 0.0528010i | ||||
\(343\) | −18.7619 | + | 16.2572i | −1.01305 | + | 0.877809i | ||||
\(344\) | 7.66681 | − | 8.98197i | 0.413367 | − | 0.484275i | ||||
\(345\) | 4.20180 | − | 2.77175i | 0.226217 | − | 0.149226i | ||||
\(346\) | 13.4548 | + | 12.7656i | 0.723333 | + | 0.686284i | ||||
\(347\) | 9.89175 | + | 28.5803i | 0.531017 | + | 1.53427i | 0.817350 | + | 0.576142i | \(0.195443\pi\) |
−0.286333 | + | 0.958130i | \(0.592436\pi\) | |||||||
\(348\) | −1.05940 | + | 34.4857i | −0.0567898 | + | 1.84863i | ||||
\(349\) | −21.8312 | − | 14.0300i | −1.16859 | − | 0.751010i | −0.195339 | − | 0.980736i | \(-0.562581\pi\) |
−0.973255 | + | 0.229725i | \(0.926217\pi\) | |||||||
\(350\) | 24.1642 | + | 9.60450i | 1.29163 | + | 0.513382i | ||||
\(351\) | 7.12040 | + | 8.41590i | 0.380059 | + | 0.449207i | ||||
\(352\) | 7.38280 | − | 9.63112i | 0.393505 | − | 0.513340i | ||||
\(353\) | 35.2671 | + | 1.67998i | 1.87708 | + | 0.0894164i | 0.954826 | − | 0.297167i | \(-0.0960417\pi\) |
0.922255 | + | 0.386583i | \(0.126345\pi\) | |||||||
\(354\) | 1.91694 | + | 30.8726i | 0.101884 | + | 1.64086i | ||||
\(355\) | −0.815832 | + | 1.03741i | −0.0432999 | + | 0.0550602i | ||||
\(356\) | −8.53507 | − | 7.32197i | −0.452358 | − | 0.388064i | ||||
\(357\) | 27.3005 | − | 1.62728i | 1.44490 | − | 0.0861246i | ||||
\(358\) | −3.96265 | + | 13.6203i | −0.209433 | + | 0.719853i | ||||
\(359\) | −15.3118 | + | 9.84031i | −0.808127 | + | 0.519352i | −0.878259 | − | 0.478186i | \(-0.841295\pi\) |
0.0701313 | + | 0.997538i | \(0.477658\pi\) | |||||||
\(360\) | 2.07835 | + | 7.53008i | 0.109539 | + | 0.396870i | ||||
\(361\) | 0.371532 | + | 7.79941i | 0.0195543 | + | 0.410495i | ||||
\(362\) | −5.21681 | − | 10.0580i | −0.274190 | − | 0.528635i | ||||
\(363\) | 10.1344 | + | 4.48284i | 0.531920 | + | 0.235288i | ||||
\(364\) | 5.20389 | − | 18.0532i | 0.272758 | − | 0.946244i | ||||
\(365\) | 0.324697 | − | 0.187464i | 0.0169954 | − | 0.00981232i | ||||
\(366\) | 23.0778 | + | 14.3655i | 1.20629 | + | 0.750895i | ||||
\(367\) | 7.57098 | − | 18.9114i | 0.395202 | − | 0.987167i | −0.588683 | − | 0.808364i | \(-0.700353\pi\) |
0.983885 | − | 0.178803i | \(-0.0572225\pi\) | |||||||
\(368\) | 3.09841 | + | 12.2412i | 0.161516 | + | 0.638115i | ||||
\(369\) | 8.72785 | + | 3.73674i | 0.454354 | + | 0.194527i | ||||
\(370\) | −0.0380258 | − | 0.0654875i | −0.00197687 | − | 0.00340453i | ||||
\(371\) | −41.6376 | + | 8.02499i | −2.16172 | + | 0.416637i | ||||
\(372\) | 15.4438 | − | 12.5730i | 0.800725 | − | 0.651882i | ||||
\(373\) | 9.71542 | − | 16.8276i | 0.503045 | − | 0.871300i | −0.496949 | − | 0.867780i | \(-0.665546\pi\) |
0.999994 | − | 0.00351989i | \(-0.00112042\pi\) | |||||||
\(374\) | 9.08662 | − | 5.87147i | 0.469858 | − | 0.303606i | ||||
\(375\) | −7.14564 | + | 12.7250i | −0.368999 | + | 0.657116i | ||||
\(376\) | −0.178217 | + | 0.454932i | −0.00919082 | + | 0.0234613i | ||||
\(377\) | 15.9693 | + | 13.8375i | 0.822463 | + | 0.712668i | ||||
\(378\) | −10.9283 | + | 30.6484i | −0.562091 | + | 1.57639i | ||||
\(379\) | 11.6391 | + | 29.0730i | 0.597860 | + | 1.49338i | 0.850582 | + | 0.525843i | \(0.176250\pi\) |
−0.252722 | + | 0.967539i | \(0.581326\pi\) | |||||||
\(380\) | −5.70699 | + | 2.31760i | −0.292763 | + | 0.118891i | ||||
\(381\) | −7.48572 | − | 12.6155i | −0.383505 | − | 0.646311i | ||||
\(382\) | 3.60317 | − | 0.883574i | 0.184354 | − | 0.0452076i | ||||
\(383\) | −12.7515 | − | 12.1586i | −0.651574 | − | 0.621274i | 0.290422 | − | 0.956899i | \(-0.406204\pi\) |
−0.941996 | + | 0.335624i | \(0.891053\pi\) | |||||||
\(384\) | −19.5533 | − | 1.29093i | −0.997828 | − | 0.0658777i | ||||
\(385\) | −7.77270 | − | 4.00710i | −0.396133 | − | 0.204221i | ||||
\(386\) | −0.816478 | − | 2.75540i | −0.0415576 | − | 0.140246i | ||||
\(387\) | 1.48790 | + | 12.4368i | 0.0756343 | + | 0.632198i | ||||
\(388\) | 3.09990 | − | 9.10221i | 0.157374 | − | 0.462095i | ||||
\(389\) | 7.01550 | − | 36.3999i | 0.355700 | − | 1.84555i | −0.157817 | − | 0.987468i | \(-0.550446\pi\) |
0.513517 | − | 0.858079i | \(-0.328342\pi\) | |||||||
\(390\) | 4.38003 | + | 1.92449i | 0.221791 | + | 0.0974504i | ||||
\(391\) | −1.07006 | + | 11.2061i | −0.0541151 | + | 0.566719i | ||||
\(392\) | 34.5882 | − | 8.66366i | 1.74697 | − | 0.437581i | ||||
\(393\) | 8.21641 | − | 21.2554i | 0.414463 | − | 1.07219i | ||||
\(394\) | −1.02692 | − | 20.4896i | −0.0517352 | − | 1.03225i | ||||
\(395\) | 1.91995 | − | 1.83067i | 0.0966032 | − | 0.0921109i | ||||
\(396\) | 2.19822 | + | 12.6823i | 0.110465 | + | 0.637308i | ||||
\(397\) | −4.84159 | − | 10.6016i | −0.242992 | − | 0.532079i | 0.748362 | − | 0.663290i | \(-0.230841\pi\) |
−0.991354 | + | 0.131212i | \(0.958113\pi\) | |||||||
\(398\) | 6.77789 | + | 1.28893i | 0.339745 | + | 0.0646080i | ||||
\(399\) | −25.0044 | − | 5.75090i | −1.25179 | − | 0.287905i | ||||
\(400\) | −11.0010 | − | 12.4445i | −0.550051 | − | 0.622227i | ||||
\(401\) | − | 10.9560i | − | 0.547117i | −0.961855 | − | 0.273558i | \(-0.911799\pi\) | ||
0.961855 | − | 0.273558i | \(-0.0882007\pi\) | |||||||
\(402\) | −6.04317 | − | 19.1175i | −0.301406 | − | 0.953496i | ||||
\(403\) | − | 12.1966i | − | 0.607554i | ||||||
\(404\) | 16.8089 | + | 32.2119i | 0.836273 | + | 1.60260i | ||||
\(405\) | −7.36498 | − | 3.79558i | −0.365969 | − | 0.188604i | ||||
\(406\) | −11.6517 | + | 61.2710i | −0.578264 | + | 3.04083i | ||||
\(407\) | −0.0518341 | − | 0.113501i | −0.00256932 | − | 0.00562603i | ||||
\(408\) | −16.0286 | − | 6.94808i | −0.793532 | − | 0.343981i | ||||
\(409\) | 18.0632 | − | 17.2232i | 0.893168 | − | 0.851634i | −0.0964528 | − | 0.995338i | \(-0.530750\pi\) |
0.989621 | + | 0.143704i | \(0.0459012\pi\) | |||||||
\(410\) | 4.11510 | − | 0.206243i | 0.203230 | − | 0.0101856i | ||||
\(411\) | −3.58425 | − | 1.38551i | −0.176798 | − | 0.0683423i | ||||
\(412\) | −1.90382 | + | 2.44574i | −0.0937945 | + | 0.120493i | ||||
\(413\) | −5.31512 | + | 55.6625i | −0.261540 | + | 2.73897i | ||||
\(414\) | −11.7712 | − | 6.38868i | −0.578524 | − | 0.313987i | ||||
\(415\) | 1.62648 | − | 8.43897i | 0.0798407 | − | 0.414253i | ||||
\(416\) | −8.17368 | + | 8.78769i | −0.400748 | + | 0.430852i | ||||
\(417\) | −29.4990 | + | 6.05149i | −1.44457 | + | 0.296343i | ||||
\(418\) | −9.73110 | + | 2.88351i | −0.475964 | + | 0.141037i | ||||
\(419\) | 3.61464 | + | 1.86348i | 0.176587 | + | 0.0910369i | 0.544254 | − | 0.838921i | \(-0.316813\pi\) |
−0.367667 | + | 0.929958i | \(0.619843\pi\) | |||||||
\(420\) | 1.57951 | + | 14.0324i | 0.0770721 | + | 0.684713i | ||||
\(421\) | −14.5607 | − | 13.8836i | −0.709646 | − | 0.676647i | 0.246630 | − | 0.969110i | \(-0.420677\pi\) |
−0.956277 | + | 0.292463i | \(0.905525\pi\) | |||||||
\(422\) | 3.52292 | + | 14.3663i | 0.171493 | + | 0.699339i | ||||
\(423\) | −0.226472 | − | 0.466128i | −0.0110115 | − | 0.0226639i | ||||
\(424\) | 26.0451 | + | 7.43777i | 1.26486 | + | 0.361210i | ||||
\(425\) | −5.50346 | − | 13.7470i | −0.266957 | − | 0.666826i | ||||
\(426\) | 3.45732 | + | 0.614804i | 0.167508 | + | 0.0297873i | ||||
\(427\) | 37.1373 | + | 32.1797i | 1.79720 | + | 1.55728i | ||||
\(428\) | −35.3662 | + | 10.5750i | −1.70949 | + | 0.511164i | ||||
\(429\) | 6.87341 | + | 3.85972i | 0.331851 | + | 0.186349i | ||||
\(430\) | 2.95014 | + | 4.56560i | 0.142268 | + | 0.220173i | ||||
\(431\) | −3.52133 | + | 6.09913i | −0.169617 | + | 0.293785i | −0.938285 | − | 0.345863i | \(-0.887586\pi\) |
0.768668 | + | 0.639647i | \(0.220920\pi\) | |||||||
\(432\) | 15.0695 | − | 14.3146i | 0.725034 | − | 0.688714i | ||||
\(433\) | −22.0536 | + | 4.25048i | −1.05983 | + | 0.204265i | −0.689240 | − | 0.724533i | \(-0.742055\pi\) |
−0.370587 | + | 0.928798i | \(0.620843\pi\) | |||||||
\(434\) | 31.1319 | − | 18.0770i | 1.49438 | − | 0.867722i | ||||
\(435\) | −15.0689 | − | 5.01481i | −0.722499 | − | 0.240442i | ||||
\(436\) | −15.5279 | + | 0.0769243i | −0.743653 | + | 0.00368401i | ||||
\(437\) | 3.92504 | − | 9.80429i | 0.187760 | − | 0.469003i | ||||
\(438\) | −0.846904 | − | 0.527182i | −0.0404666 | − | 0.0251897i | ||||
\(439\) | 20.6935 | − | 11.9474i | 0.987648 | − | 0.570219i | 0.0830775 | − | 0.996543i | \(-0.473525\pi\) |
0.904570 | + | 0.426324i | \(0.140192\pi\) | |||||||
\(440\) | 3.27387 | + | 4.52595i | 0.156076 | + | 0.215766i | ||||
\(441\) | −18.1227 | + | 33.1949i | −0.862985 | + | 1.58071i | ||||
\(442\) | −9.49763 | + | 4.92619i | −0.451756 | + | 0.234315i | ||||
\(443\) | −1.04724 | − | 21.9843i | −0.0497560 | − | 1.04451i | −0.876340 | − | 0.481694i | \(-0.840022\pi\) |
0.826584 | − | 0.562814i | \(-0.190281\pi\) | |||||||
\(444\) | −0.106055 | + | 0.171319i | −0.00503314 | + | 0.00813042i | ||||
\(445\) | 4.35459 | − | 2.79852i | 0.206427 | − | 0.132663i | ||||
\(446\) | −34.0924 | − | 9.91879i | −1.61432 | − | 0.469668i | ||||
\(447\) | 0.792916 | + | 13.3026i | 0.0375036 | + | 0.629192i | ||||
\(448\) | −34.5452 | − | 7.83888i | −1.63211 | − | 0.370352i | ||||
\(449\) | −7.53630 | + | 9.58318i | −0.355660 | + | 0.452258i | −0.930655 | − | 0.365899i | \(-0.880762\pi\) |
0.574995 | + | 0.818157i | \(0.305004\pi\) | |||||||
\(450\) | 17.6135 | + | 0.374371i | 0.830308 | + | 0.0176480i | ||||
\(451\) | 6.78134 | + | 0.323035i | 0.319321 | + | 0.0152111i | ||||
\(452\) | −32.6692 | − | 7.75429i | −1.53663 | − | 0.364731i | ||||
\(453\) | −8.74137 | + | 10.3348i | −0.410705 | + | 0.485570i | ||||
\(454\) | −12.2033 | + | 30.7026i | −0.572730 | + | 1.44094i | ||||
\(455\) | 7.27543 | + | 4.67564i | 0.341078 | + | 0.219197i | ||||
\(456\) | 12.5916 | + | 10.4907i | 0.589654 | + | 0.491272i | ||||
\(457\) | 1.53046 | + | 4.42196i | 0.0715917 | + | 0.206851i | 0.975120 | − | 0.221678i | \(-0.0711533\pi\) |
−0.903528 | + | 0.428529i | \(0.859032\pi\) | |||||||
\(458\) | 11.9693 | − | 12.6155i | 0.559289 | − | 0.589482i | ||||
\(459\) | 16.9446 | − | 7.49810i | 0.790904 | − | 0.349981i | ||||
\(460\) | −5.80708 | − | 0.247799i | −0.270756 | − | 0.0115537i | ||||
\(461\) | −5.59855 | + | 4.85117i | −0.260750 | + | 0.225941i | −0.775418 | − | 0.631448i | \(-0.782461\pi\) |
0.514668 | + | 0.857390i | \(0.327915\pi\) | |||||||
\(462\) | 0.335335 | + | 23.2651i | 0.0156012 | + | 1.08239i | ||||
\(463\) | −2.23759 | − | 23.4331i | −0.103990 | − | 1.08903i | −0.885343 | − | 0.464939i | \(-0.846076\pi\) |
0.781353 | − | 0.624089i | \(-0.214530\pi\) | |||||||
\(464\) | 24.3156 | − | 31.5584i | 1.12883 | − | 1.46506i | ||||
\(465\) | 3.50829 | + | 8.46891i | 0.162693 | + | 0.392736i | ||||
\(466\) | 11.2170 | − | 10.7486i | 0.519617 | − | 0.497917i | ||||
\(467\) | −4.21534 | − | 17.3759i | −0.195063 | − | 0.804059i | −0.982285 | − | 0.187391i | \(-0.939997\pi\) |
0.787223 | − | 0.616669i | \(-0.211518\pi\) | |||||||
\(468\) | −0.971897 | − | 12.6922i | −0.0449259 | − | 0.586697i | ||||
\(469\) | −5.37879 | − | 35.8428i | −0.248369 | − | 1.65507i | ||||
\(470\) | −0.177129 | − | 0.138587i | −0.00817036 | − | 0.00639255i | ||||
\(471\) | −6.94198 | + | 1.08283i | −0.319869 | + | 0.0498940i | ||||
\(472\) | 19.0864 | − | 30.1899i | 0.878522 | − | 1.38960i | ||||
\(473\) | 4.10419 | + | 7.96101i | 0.188711 | + | 0.366048i | ||||
\(474\) | −6.70284 | − | 2.21223i | −0.307872 | − | 0.101611i | ||||
\(475\) | 1.32049 | + | 13.8288i | 0.0605883 | + | 0.634510i | ||||
\(476\) | −26.6510 | − | 16.9416i | −1.22154 | − | 0.776515i | ||||
\(477\) | −24.5304 | + | 14.9545i | −1.12317 | + | 0.684718i | ||||
\(478\) | −4.16804 | + | 2.98363i | −0.190642 | + | 0.136468i | ||||
\(479\) | 3.72998 | − | 2.93329i | 0.170427 | − | 0.134025i | −0.529302 | − | 0.848433i | \(-0.677546\pi\) |
0.699729 | + | 0.714408i | \(0.253304\pi\) | |||||||
\(480\) | 3.14780 | − | 8.45302i | 0.143677 | − | 0.385826i | ||||
\(481\) | 0.0403602 | + | 0.116613i | 0.00184027 | + | 0.00531710i | ||||
\(482\) | −21.2135 | + | 18.4738i | −0.966250 | + | 0.841460i | ||||
\(483\) | −19.2082 | − | 14.7379i | −0.874004 | − | 0.670597i | ||||
\(484\) | −6.45281 | − | 11.0498i | −0.293310 | − | 0.502264i | ||||
\(485\) | 3.60540 | + | 2.56739i | 0.163713 | + | 0.116579i | ||||
\(486\) | 0.320870 | + | 22.0431i | 0.0145550 | + | 0.999894i | ||||
\(487\) | −0.765107 | − | 0.0364465i | −0.0346703 | − | 0.00165155i | 0.0302396 | − | 0.999543i | \(-0.490373\pi\) |
−0.0649099 | + | 0.997891i | \(0.520676\pi\) | |||||||
\(488\) | −11.8823 | − | 29.0530i | −0.537887 | − | 1.31517i | ||||
\(489\) | 29.2492 | + | 27.2300i | 1.32270 | + | 1.23139i | ||||
\(490\) | −0.740351 | + | 16.3963i | −0.0334457 | + | 0.740709i | ||||
\(491\) | −1.25394 | − | 8.72134i | −0.0565895 | − | 0.393588i | −0.998356 | − | 0.0573205i | \(-0.981744\pi\) |
0.941766 | − | 0.336268i | \(-0.109165\pi\) | |||||||
\(492\) | −5.64100 | − | 9.40021i | −0.254316 | − | 0.423794i | ||||
\(493\) | 29.8786 | − | 19.2018i | 1.34566 | − | 0.864806i | ||||
\(494\) | 9.85123 | − | 1.92399i | 0.443228 | − | 0.0865643i | ||||
\(495\) | −5.88291 | − | 0.702962i | −0.264417 | − | 0.0315958i | ||||
\(496\) | −22.9574 | + | 1.32169i | −1.03082 | + | 0.0593454i | ||||
\(497\) | 5.99871 | + | 2.07617i | 0.269079 | + | 0.0931291i | ||||
\(498\) | −21.8456 | + | 6.75792i | −0.978925 | + | 0.302830i | ||||
\(499\) | −16.2697 | + | 9.39329i | −0.728330 | + | 0.420501i | −0.817811 | − | 0.575487i | \(-0.804812\pi\) |
0.0894811 | + | 0.995989i | \(0.471479\pi\) | |||||||
\(500\) | 15.2940 | − | 7.07631i | 0.683969 | − | 0.316462i | ||||
\(501\) | 3.98729 | − | 7.96631i | 0.178139 | − | 0.355909i | ||||
\(502\) | −13.4365 | − | 16.9991i | −0.599700 | − | 0.758706i | ||||
\(503\) | 7.58770 | − | 31.2769i | 0.338319 | − | 1.39457i | −0.507754 | − | 0.861502i | \(-0.669524\pi\) |
0.846073 | − | 0.533067i | \(-0.178961\pi\) | |||||||
\(504\) | 30.9566 | − | 21.2924i | 1.37891 | − | 0.948437i | ||||
\(505\) | −16.4224 | + | 3.16516i | −0.730787 | + | 0.140848i | ||||
\(506\) | −9.48300 | − | 1.33948i | −0.421571 | − | 0.0595473i | ||||
\(507\) | 12.0922 | + | 8.39510i | 0.537032 | + | 0.372839i | ||||
\(508\) | −1.52656 | + | 16.8696i | −0.0677302 | + | 0.748469i | ||||
\(509\) | −12.0448 | − | 5.50065i | −0.533874 | − | 0.243812i | 0.130188 | − | 0.991489i | \(-0.458442\pi\) |
−0.664063 | + | 0.747677i | \(0.731169\pi\) | |||||||
\(510\) | 5.17786 | − | 6.15254i | 0.229279 | − | 0.272439i | ||||
\(511\) | −1.36286 | − | 1.18092i | −0.0602893 | − | 0.0522410i | ||||
\(512\) | 17.4267 | + | 14.4329i | 0.770159 | + | 0.637852i | ||||
\(513\) | −17.2343 | + | 2.27081i | −0.760912 | + | 0.100259i | ||||
\(514\) | 18.7737 | − | 32.7039i | 0.828074 | − | 1.44251i | ||||
\(515\) | −0.827546 | − | 1.16213i | −0.0364660 | − | 0.0512094i | ||||
\(516\) | 7.01902 | − | 12.6458i | 0.308995 | − | 0.556701i | ||||
\(517\) | −0.268198 | − | 0.255727i | −0.0117953 | − | 0.0112468i | ||||
\(518\) | −0.237837 | + | 0.275857i | −0.0104500 | + | 0.0121204i | ||||
\(519\) | 19.2546 | + | 12.0519i | 0.845183 | + | 0.529020i | ||||
\(520\) | −2.79762 | − | 4.76352i | −0.122684 | − | 0.208894i | ||||
\(521\) | −5.71376 | − | 19.4593i | −0.250324 | − | 0.852526i | −0.984771 | − | 0.173859i | \(-0.944376\pi\) |
0.734446 | − | 0.678667i | \(-0.237442\pi\) | |||||||
\(522\) | 7.11351 | + | 41.6531i | 0.311350 | + | 1.82311i | ||||
\(523\) | −1.39517 | + | 7.23881i | −0.0610063 | + | 0.316531i | −0.999593 | − | 0.0285114i | \(-0.990923\pi\) |
0.938587 | + | 0.345042i | \(0.112135\pi\) | |||||||
\(524\) | −22.0656 | + | 14.3357i | −0.963941 | + | 0.626257i | ||||
\(525\) | 31.3412 | + | 5.65342i | 1.36784 | + | 0.246735i | ||||
\(526\) | −0.0262230 | − | 10.5868i | −0.00114338 | − | 0.461607i | ||||
\(527\) | −19.6700 | − | 5.77562i | −0.856837 | − | 0.251590i | ||||
\(528\) | 6.52027 | − | 13.3560i | 0.283758 | − | 0.581245i | ||||
\(529\) | −9.43360 | + | 8.99492i | −0.410156 | + | 0.391083i | ||||
\(530\) | −6.71469 | + | 10.5054i | −0.291668 | + | 0.456325i | ||||
\(531\) | 9.80767 | + | 36.5923i | 0.425617 | + | 1.58797i | ||||
\(532\) | 19.5119 | + | 22.2938i | 0.845947 | + | 0.966559i | ||||
\(533\) | −6.64579 | − | 0.955520i | −0.287861 | − | 0.0413882i | ||||
\(534\) | −12.0255 | − | 6.71375i | −0.520396 | − | 0.290532i | ||||
\(535\) | − | 16.9914i | − | 0.734604i | ||||||
\(536\) | −7.27425 | + | 21.9792i | −0.314200 | + | 0.949357i | ||||
\(537\) | −1.44488 | + | 17.3128i | −0.0623510 | + | 0.747103i | ||||
\(538\) | 5.67312 | − | 12.5043i | 0.244586 | − | 0.539097i | ||||
\(539\) | −3.84876 | + | 26.7687i | −0.165778 | + | 1.15301i | ||||
\(540\) | 4.32571 | + | 8.53350i | 0.186149 | + | 0.367224i | ||||
\(541\) | 10.6643 | + | 23.3516i | 0.458495 | + | 1.00397i | 0.987828 | + | 0.155551i | \(0.0497151\pi\) |
−0.529332 | + | 0.848414i | \(0.677558\pi\) | |||||||
\(542\) | −28.0967 | − | 17.9584i | −1.20685 | − | 0.771381i | ||||
\(543\) | −8.70767 | − | 10.8048i | −0.373682 | − | 0.463677i | ||||
\(544\) | 10.3017 | + | 17.3435i | 0.441682 | + | 0.743594i | ||||
\(545\) | 2.01373 | − | 6.85815i | 0.0862589 | − | 0.293771i | ||||
\(546\) | 1.85696 | − | 22.9358i | 0.0794704 | − | 0.981560i | ||||
\(547\) | 3.32909 | − | 34.8638i | 0.142342 | − | 1.49067i | −0.588709 | − | 0.808345i | \(-0.700364\pi\) |
0.731051 | − | 0.682323i | \(-0.239030\pi\) | |||||||
\(548\) | 2.41739 | + | 3.72087i | 0.103266 | + | 0.158948i | ||||
\(549\) | 31.1947 | + | 11.6325i | 1.33136 | + | 0.496462i | ||||
\(550\) | 11.8947 | − | 4.14982i | 0.507193 | − | 0.176949i | ||||
\(551\) | −31.9701 | + | 9.38727i | −1.36197 | + | 0.399911i | ||||
\(552\) | 6.69565 | + | 13.9405i | 0.284986 | + | 0.593347i | ||||
\(553\) | −11.3412 | − | 5.84677i | −0.482275 | − | 0.248630i | ||||
\(554\) | 10.2056 | + | 8.79907i | 0.433596 | + | 0.373837i | ||||
\(555\) | −0.0615682 | − | 0.0693631i | −0.00261342 | − | 0.00294430i | ||||
\(556\) | 31.7007 | + | 14.2879i | 1.34441 | + | 0.605941i | ||||
\(557\) | 17.5298 | − | 12.4829i | 0.742761 | − | 0.528918i | −0.144882 | − | 0.989449i | \(-0.546280\pi\) |
0.887644 | + | 0.460531i | \(0.152341\pi\) | |||||||
\(558\) | 15.4811 | − | 18.8474i | 0.655368 | − | 0.797874i | ||||
\(559\) | −3.29213 | − | 8.22335i | −0.139242 | − | 0.347810i | ||||
\(560\) | 8.01249 | − | 14.2011i | 0.338590 | − | 0.600108i | ||||
\(561\) | 9.47963 | − | 9.25731i | 0.400230 | − | 0.390844i | ||||
\(562\) | −21.1376 | + | 29.8397i | −0.891635 | + | 1.25871i | ||||
\(563\) | −3.65975 | + | 8.01374i | −0.154240 | + | 0.337739i | −0.970940 | − | 0.239324i | \(-0.923074\pi\) |
0.816700 | + | 0.577063i | \(0.195801\pi\) | |||||||
\(564\) | −0.103309 | + | 0.589418i | −0.00435008 | + | 0.0248190i | ||||
\(565\) | 7.72779 | − | 13.3849i | 0.325111 | − | 0.563108i | ||||
\(566\) | −0.180142 | + | 1.27533i | −0.00757192 | + | 0.0536061i | ||||
\(567\) | −5.66581 | + | 39.4466i | −0.237942 | + | 1.65660i | ||||
\(568\) | −2.81986 | − | 2.91372i | −0.118319 | − | 0.122257i | ||||
\(569\) | −8.97741 | − | 2.17790i | −0.376352 | − | 0.0913021i | 0.0431207 | − | 0.999070i | \(-0.486270\pi\) |
−0.419473 | + | 0.907768i | \(0.637785\pi\) | |||||||
\(570\) | −6.28696 | + | 4.16962i | −0.263332 | + | 0.174646i | ||||
\(571\) | −11.4881 | + | 28.6960i | −0.480763 | + | 1.20089i | 0.467667 | + | 0.883905i | \(0.345095\pi\) |
−0.948431 | + | 0.316985i | \(0.897330\pi\) | |||||||
\(572\) | −3.82227 | − | 8.26106i | −0.159817 | − | 0.345412i | ||||
\(573\) | 4.11028 | − | 1.93672i | 0.171709 | − | 0.0809076i | ||||
\(574\) | −7.41099 | − | 18.3797i | −0.309329 | − | 0.767153i | ||||
\(575\) | −4.28738 | + | 12.3876i | −0.178796 | + | 0.516598i | ||||
\(576\) | −23.7851 | + | 3.20479i | −0.991044 | + | 0.133533i | ||||
\(577\) | 1.39929 | + | 29.3748i | 0.0582534 | + | 1.22289i | 0.818982 | + | 0.573819i | \(0.194539\pi\) |
−0.760729 | + | 0.649070i | \(0.775158\pi\) | |||||||
\(578\) | −1.16124 | − | 5.94577i | −0.0483010 | − | 0.247312i | ||||
\(579\) | −1.65005 | − | 3.10897i | −0.0685736 | − | 0.129204i | ||||
\(580\) | 10.7111 | + | 14.8851i | 0.444756 | + | 0.618069i | ||||
\(581\) | −40.9158 | + | 5.88281i | −1.69747 | + | 0.244060i | ||||
\(582\) | 1.50782 | − | 11.6797i | 0.0625011 | − | 0.484140i | ||||
\(583\) | −12.6993 | + | 16.1484i | −0.525950 | + | 0.668800i | ||||
\(584\) | 0.436055 | + | 1.06618i | 0.0180441 | + | 0.0441189i | ||||
\(585\) | 5.72557 | + | 1.24509i | 0.236723 | + | 0.0514783i | ||||
\(586\) | 6.73822 | + | 14.6585i | 0.278353 | + | 0.605535i | ||||
\(587\) | 6.76114 | − | 9.49470i | 0.279062 | − | 0.391888i | −0.651127 | − | 0.758969i | \(-0.725703\pi\) |
0.930189 | + | 0.367081i | \(0.119643\pi\) | |||||||
\(588\) | 39.4120 | − | 18.8097i | 1.62532 | − | 0.775697i | ||||
\(589\) | 16.1792 | + | 10.3978i | 0.666653 | + | 0.428432i | ||||
\(590\) | 10.7972 | + | 12.3984i | 0.444513 | + | 0.510436i | ||||
\(591\) | −6.21471 | − | 24.3454i | −0.255639 | − | 1.00144i | ||||
\(592\) | 0.215126 | − | 0.0886064i | 0.00884162 | − | 0.00364170i | ||||
\(593\) | −8.19663 | − | 10.4229i | −0.336595 | − | 0.428016i | 0.588062 | − | 0.808816i | \(-0.299891\pi\) |
−0.924657 | + | 0.380800i | \(0.875649\pi\) | |||||||
\(594\) | 5.72235 | + | 14.6889i | 0.234791 | + | 0.602692i | ||||
\(595\) | 10.9859 | − | 9.51931i | 0.450377 | − | 0.390254i | ||||
\(596\) | 8.25504 | − | 12.9861i | 0.338140 | − | 0.531931i | ||||
\(597\) | 8.44934 | − | 0.100854i | 0.345809 | − | 0.00412766i | ||||
\(598\) | 9.20999 | + | 2.21018i | 0.376624 | + | 0.0903809i | ||||
\(599\) | 26.6777 | − | 13.7533i | 1.09002 | − | 0.561944i | 0.183034 | − | 0.983107i | \(-0.441408\pi\) |
0.906985 | + | 0.421163i | \(0.138378\pi\) | |||||||
\(600\) | −16.2311 | − | 12.2631i | −0.662633 | − | 0.500640i | ||||
\(601\) | −1.23904 | − | 5.10741i | −0.0505417 | − | 0.208336i | 0.940942 | − | 0.338568i | \(-0.109943\pi\) |
−0.991483 | + | 0.130233i | \(0.958428\pi\) | |||||||
\(602\) | 16.1108 | − | 20.5913i | 0.656628 | − | 0.839240i | ||||
\(603\) | −11.9024 | − | 21.4786i | −0.484704 | − | 0.874678i | ||||
\(604\) | 15.1708 | − | 3.76008i | 0.617292 | − | 0.152995i | ||||
\(605\) | 5.72402 | − | 1.38863i | 0.232715 | − | 0.0564560i | ||||
\(606\) | 28.0091 | + | 34.5790i | 1.13779 | + | 1.40468i | ||||
\(607\) | 15.5369 | + | 30.1373i | 0.630621 | + | 1.22323i | 0.960255 | + | 0.279126i | \(0.0900446\pi\) |
−0.329633 | + | 0.944109i | \(0.606925\pi\) | |||||||
\(608\) | −4.68903 | − | 18.3344i | −0.190165 | − | 0.743556i | ||||
\(609\) | 0.911700 | + | 76.3808i | 0.0369440 | + | 3.09510i | ||||
\(610\) | 14.3796 | − | 1.40904i | 0.582214 | − | 0.0570503i | ||||
\(611\) | 0.239998 | + | 0.276973i | 0.00970928 | + | 0.0112051i | ||||
\(612\) | −20.9296 | − | 4.44291i | −0.846027 | − | 0.179594i | ||||
\(613\) | −2.04880 | + | 1.61119i | −0.0827503 | + | 0.0650755i | −0.658677 | − | 0.752426i | \(-0.728884\pi\) |
0.575927 | + | 0.817501i | \(0.304641\pi\) | |||||||
\(614\) | 2.32512 | + | 2.20603i | 0.0938341 | + | 0.0890279i | ||||
\(615\) | 4.88948 | − | 1.24815i | 0.197163 | − | 0.0503303i | ||||
\(616\) | 15.4213 | − | 22.0004i | 0.621344 | − | 0.886423i | ||||
\(617\) | 25.6606 | − | 39.9286i | 1.03306 | − | 1.60747i | 0.268090 | − | 0.963394i | \(-0.413607\pi\) |
0.764965 | − | 0.644072i | \(-0.222756\pi\) | |||||||
\(618\) | −1.69060 | + | 3.39870i | −0.0680059 | + | 0.136716i | ||||
\(619\) | 15.9680 | + | 11.3708i | 0.641809 | + | 0.457030i | 0.854053 | − | 0.520187i | \(-0.174138\pi\) |
−0.212244 | + | 0.977217i | \(0.568077\pi\) | |||||||
\(620\) | 2.44450 | − | 10.2988i | 0.0981736 | − | 0.413609i | ||||
\(621\) | −15.6832 | − | 4.80660i | −0.629344 | − | 0.192882i | ||||
\(622\) | −31.1929 | + | 4.56375i | −1.25072 | + | 0.182990i | ||||
\(623\) | −19.5703 | − | 15.3902i | −0.784067 | − | 0.616597i | ||||
\(624\) | −7.67469 | + | 12.5359i | −0.307233 | + | 0.501836i | ||||
\(625\) | −1.85087 | − | 12.8731i | −0.0740347 | − | 0.514923i | ||||
\(626\) | 1.16155 | − | 3.99242i | 0.0464247 | − | 0.159569i | ||||
\(627\) | −10.9798 | + | 5.82738i | −0.438489 | + | 0.232723i | ||||
\(628\) | 7.22930 | + | 3.68175i | 0.288481 | + | 0.146918i | ||||
\(629\) | 0.207180 | − | 0.00986920i | 0.00826081 | − | 0.000393511i | ||||
\(630\) | 5.30796 | + | 16.4600i | 0.211474 | + | 0.655783i | ||||
\(631\) | 14.0934 | + | 4.87777i | 0.561049 | + | 0.194181i | 0.592849 | − | 0.805313i | \(-0.298003\pi\) |
−0.0318006 | + | 0.999494i | \(0.510124\pi\) | |||||||
\(632\) | 4.77691 | + | 6.60382i | 0.190015 | + | 0.262686i | ||||
\(633\) | 7.72194 | + | 16.3882i | 0.306920 | + | 0.651372i | ||||
\(634\) | −40.1838 | − | 20.5904i | −1.59590 | − | 0.817749i | ||||
\(635\) | −7.23840 | − | 2.89782i | −0.287247 | − | 0.114996i | ||||
\(636\) | 33.0722 | + | 2.59520i | 1.31140 | + | 0.102906i | ||||
\(637\) | 6.30551 | − | 25.9917i | 0.249834 | − | 1.02983i | ||||
\(638\) | 15.1730 | + | 26.1306i | 0.600703 | + | 1.03452i | ||||
\(639\) | 4.29954 | − | 0.102655i | 0.170087 | − | 0.00406099i | ||||
\(640\) | −8.66314 | + | 5.78212i | −0.342441 | + | 0.228558i | ||||
\(641\) | −14.9701 | − | 8.64296i | −0.591281 | − | 0.341377i | 0.174323 | − | 0.984689i | \(-0.444226\pi\) |
−0.765604 | + | 0.643312i | \(0.777560\pi\) | |||||||
\(642\) | −39.8811 | + | 21.2932i | −1.57398 | + | 0.840375i | ||||
\(643\) | −38.6678 | − | 17.6590i | −1.52491 | − | 0.696402i | −0.535902 | − | 0.844280i | \(-0.680028\pi\) |
−0.989006 | + | 0.147878i | \(0.952756\pi\) | |||||||
\(644\) | 8.00895 | + | 26.7844i | 0.315597 | + | 1.05545i | ||||
\(645\) | 4.65136 | + | 4.76306i | 0.183147 | + | 0.187545i | ||||
\(646\) | 1.56210 | − | 16.7986i | 0.0614599 | − | 0.660934i | ||||
\(647\) | 29.8706 | − | 11.9584i | 1.17433 | − | 0.470132i | 0.299283 | − | 0.954164i | \(-0.403252\pi\) |
0.875050 | + | 0.484032i | \(0.160828\pi\) | |||||||
\(648\) | 14.6084 | − | 20.8470i | 0.573871 | − | 0.818946i | ||||
\(649\) | 15.7137 | + | 22.0667i | 0.616815 | + | 0.866195i | ||||
\(650\) | −12.1003 | + | 2.96726i | −0.474614 | + | 0.116386i | ||||
\(651\) | 32.9743 | − | 29.2687i | 1.29236 | − | 1.14713i | ||||
\(652\) | −8.95728 | − | 45.2669i | −0.350794 | − | 1.77279i | ||||
\(653\) | 4.10495 | − | 7.96248i | 0.160639 | − | 0.311596i | −0.794755 | − | 0.606930i | \(-0.792401\pi\) |
0.955394 | + | 0.295334i | \(0.0954310\pi\) | |||||||
\(654\) | −18.6205 | + | 3.86794i | −0.728119 | + | 0.151249i | ||||
\(655\) | −3.41242 | − | 11.6216i | −0.133334 | − | 0.454095i | ||||
\(656\) | −1.07839 | + | 12.6128i | −0.0421040 | + | 0.492448i | ||||
\(657\) | −1.14478 | − | 0.426887i | −0.0446621 | − | 0.0166545i | ||||
\(658\) | −0.351266 | + | 1.02311i | −0.0136938 | + | 0.0398850i | ||||
\(659\) | −15.1677 | − | 1.44834i | −0.590848 | − | 0.0564192i | −0.204650 | − | 0.978835i | \(-0.565606\pi\) |
−0.386198 | + | 0.922416i | \(0.626212\pi\) | |||||||
\(660\) | 5.03033 | + | 4.63676i | 0.195805 | + | 0.180486i | ||||
\(661\) | −13.1905 | − | 3.87309i | −0.513052 | − | 0.150646i | 0.0149509 | − | 0.999888i | \(-0.495241\pi\) |
−0.528003 | + | 0.849243i | \(0.677059\pi\) | |||||||
\(662\) | −2.19122 | − | 43.7206i | −0.0851642 | − | 1.69925i | ||||
\(663\) | −10.2028 | + | 8.22257i | −0.396245 | + | 0.319338i | ||||
\(664\) | 25.0158 | + | 8.45043i | 0.970801 | + | 0.327940i | ||||
\(665\) | −12.4048 | + | 5.66510i | −0.481039 | + | 0.219683i | ||||
\(666\) | −0.0856486 | + | 0.231432i | −0.00331881 | + | 0.00896781i | ||||
\(667\) | −31.1213 | − | 4.47456i | −1.20502 | − | 0.173256i | ||||
\(668\) | −9.11963 | + | 4.75883i | −0.352849 | + | 0.184125i | ||||
\(669\) | −43.3352 | − | 3.61662i | −1.67543 | − | 0.139827i | ||||
\(670\) | −8.73383 | − | 6.10641i | −0.337417 | − | 0.235911i | ||||
\(671\) | 23.8070 | 0.919061 | ||||||||
\(672\) | −43.3729 | − | 1.00988i | −1.67315 | − | 0.0389570i | ||||
\(673\) | 1.91728 | − | 13.3350i | 0.0739057 | − | 0.514026i | −0.918919 | − | 0.394446i | \(-0.870936\pi\) |
0.992825 | − | 0.119579i | \(-0.0381545\pi\) | |||||||
\(674\) | 2.25151 | − | 11.8397i | 0.0867250 | − | 0.456048i | ||||
\(675\) | 21.2337 | − | 3.83332i | 0.817284 | − | 0.147545i | ||||
\(676\) | −5.63900 | − | 16.0354i | −0.216884 | − | 0.616744i | ||||
\(677\) | 28.2281 | + | 29.6048i | 1.08490 | + | 1.13781i | 0.989818 | + | 0.142336i | \(0.0454613\pi\) |
0.0950770 | + | 0.995470i | \(0.469690\pi\) | |||||||
\(678\) | −41.1004 | − | 1.36451i | −1.57845 | − | 0.0524037i | ||||
\(679\) | 5.99769 | − | 20.4263i | 0.230170 | − | 0.783888i | ||||
\(680\) | −9.00714 | + | 2.25611i | −0.345408 | + | 0.0865178i | ||||
\(681\) | −7.18314 | + | 39.8216i | −0.275258 | + | 1.52597i | ||||
\(682\) | 5.66354 | − | 16.4958i | 0.216868 | − | 0.631657i | ||||
\(683\) | 15.4453 | + | 2.97684i | 0.590998 | + | 0.113905i | 0.475977 | − | 0.879458i | \(-0.342095\pi\) |
0.115020 | + | 0.993363i | \(0.463307\pi\) | |||||||
\(684\) | 17.6653 | + | 9.53104i | 0.675449 | + | 0.364429i | ||||
\(685\) | −1.95973 | + | 0.575427i | −0.0748773 | + | 0.0219859i | ||||
\(686\) | 33.6618 | − | 9.97463i | 1.28521 | − | 0.380833i | ||||
\(687\) | 11.3001 | − | 18.0535i | 0.431126 | − | 0.688784i | ||||
\(688\) | −15.1220 | + | 7.08787i | −0.576519 | + | 0.270222i | ||||
\(689\) | 14.0204 | − | 14.7041i | 0.534133 | − | 0.560183i | ||||
\(690\) | −7.03087 | + | 1.11454i | −0.267661 | + | 0.0424297i | ||||
\(691\) | −27.7361 | + | 19.7508i | −1.05513 | + | 0.751356i | −0.969530 | − | 0.244974i | \(-0.921221\pi\) |
−0.0856019 | + | 0.996329i | \(0.527281\pi\) | |||||||
\(692\) | −9.86901 | − | 24.3020i | −0.375164 | − | 0.923823i | ||||
\(693\) | 6.05942 | + | 27.8451i | 0.230178 | + | 1.05775i | ||||
\(694\) | 3.96017 | − | 42.5873i | 0.150326 | − | 1.61659i | ||||
\(695\) | −10.4815 | + | 12.0963i | −0.397585 | + | 0.458837i | ||||
\(696\) | 21.5143 | − | 43.7940i | 0.815497 | − | 1.66001i | ||||
\(697\) | −4.68809 | + | 10.2655i | −0.177574 | + | 0.388833i | ||||
\(698\) | 19.9179 | + | 30.8247i | 0.753903 | + | 1.16673i | ||||
\(699\) | 10.8510 | − | 15.6296i | 0.410423 | − | 0.591166i | ||||
\(700\) | −25.5083 | − | 26.4884i | −0.964124 | − | 1.00117i | ||||
\(701\) | −6.55032 | − | 33.9863i | −0.247402 | − | 1.28364i | −0.866835 | − | 0.498595i | \(-0.833850\pi\) |
0.619433 | − | 0.785050i | \(-0.287363\pi\) | |||||||
\(702\) | −4.25273 | − | 14.9990i | −0.160509 | − | 0.566100i | ||||
\(703\) | −0.189100 | − | 0.0458751i | −0.00713203 | − | 0.00173021i | ||||
\(704\) | −15.1355 | + | 8.08983i | −0.570440 | + | 0.304897i | ||||
\(705\) | −0.246317 | − | 0.123287i | −0.00927684 | − | 0.00464324i | ||||
\(706\) | −44.4377 | − | 22.7701i | −1.67244 | − | 0.856963i | ||||
\(707\) | 40.2209 | + | 69.6646i | 1.51266 | + | 2.62001i | ||||
\(708\) | 15.5700 | − | 40.8798i | 0.585156 | − | 1.53636i | ||||
\(709\) | 11.2714 | − | 32.5665i | 0.423305 | − | 1.22306i | −0.508805 | − | 0.860882i | \(-0.669912\pi\) |
0.932109 | − | 0.362177i | \(-0.117966\pi\) | |||||||
\(710\) | 1.65684 | − | 0.859362i | 0.0621801 | − | 0.0322513i | ||||
\(711\) | −8.58376 | − | 1.02569i | −0.321916 | − | 0.0384665i | ||||
\(712\) | 6.71381 | + | 14.4167i | 0.251611 | + | 0.540290i | ||||
\(713\) | 9.81155 | + | 15.2671i | 0.367446 | + | 0.571756i | ||||
\(714\) | −36.1102 | − | 13.8559i | −1.35139 | − | 0.518545i | ||||
\(715\) | 4.14727 | − | 0.596287i | 0.155099 | − | 0.0222999i | ||||
\(716\) | 13.0616 | − | 15.2257i | 0.488137 | − | 0.569011i | ||||
\(717\) | −4.27770 | + | 4.59491i | −0.159754 | + | 0.171600i | ||||
\(718\) | 25.4692 | − | 3.72634i | 0.950503 | − | 0.139066i | ||||
\(719\) | −0.935991 | + | 19.6489i | −0.0349066 | + | 0.732779i | 0.911791 | + | 0.410655i | \(0.134700\pi\) |
−0.946697 | + | 0.322124i | \(0.895603\pi\) | |||||||
\(720\) | 1.72317 | − | 10.9121i | 0.0642188 | − | 0.406670i | ||||
\(721\) | −3.98031 | + | 5.58956i | −0.148234 | + | 0.208166i | ||||
\(722\) | 4.07869 | − | 10.2617i | 0.151793 | − | 0.381900i | ||||
\(723\) | −20.9721 | + | 27.3334i | −0.779961 | + | 1.01654i | ||||
\(724\) | 0.841713 | + | 16.0015i | 0.0312820 | + | 0.594690i | ||||
\(725\) | 39.0835 | − | 13.5269i | 1.45152 | − | 0.502377i | ||||
\(726\) | −10.4325 | − | 11.6948i | −0.387186 | − | 0.434036i | ||||
\(727\) | −15.2052 | − | 19.3350i | −0.563930 | − | 0.717095i | 0.417551 | − | 0.908653i | \(-0.362888\pi\) |
−0.981481 | + | 0.191558i | \(0.938646\pi\) | |||||||
\(728\) | −17.2503 | + | 20.2095i | −0.639340 | + | 0.749012i | ||||
\(729\) | 5.74492 | + | 26.3817i | 0.212775 | + | 0.977101i | ||||
\(730\) | −0.527701 | + | 0.0517087i | −0.0195311 | + | 0.00191382i | ||||
\(731\) | −14.8212 | + | 1.41525i | −0.548180 | + | 0.0523449i | ||||
\(732\) | −21.3273 | − | 31.9851i | −0.788281 | − | 1.18220i | ||||
\(733\) | −22.5536 | + | 11.6272i | −0.833035 | + | 0.429459i | −0.821317 | − | 0.570472i | \(-0.806760\pi\) |
−0.0117179 | + | 0.999931i | \(0.503730\pi\) | |||||||
\(734\) | −20.8003 | + | 19.9316i | −0.767753 | + | 0.735690i | ||||
\(735\) | 3.09805 | + | 19.8616i | 0.114273 | + | 0.732605i | ||||
\(736\) | 3.16215 | − | 17.5754i | 0.116558 | − | 0.647836i | ||||
\(737\) | −13.3411 | − | 11.4171i | −0.491425 | − | 0.420555i | ||||
\(738\) | −9.05692 | − | 9.91208i | −0.333390 | − | 0.364869i | ||||
\(739\) | 35.3350 | − | 8.57218i | 1.29982 | − | 0.315333i | 0.474628 | − | 0.880186i | \(-0.342583\pi\) |
0.825191 | + | 0.564854i | \(0.191067\pi\) | |||||||
\(740\) | 0.0107080 | + | 0.106557i | 0.000393632 | + | 0.00391713i | ||||
\(741\) | 11.3573 | − | 4.70481i | 0.417220 | − | 0.172835i | ||||
\(742\) | 58.3126 | + | 13.9936i | 2.14072 | + | 0.513723i | ||||
\(743\) | 49.4569 | − | 4.72256i | 1.81440 | − | 0.173254i | 0.868065 | − | 0.496450i | \(-0.165363\pi\) |
0.946332 | + | 0.323196i | \(0.104757\pi\) | |||||||
\(744\) | −27.2360 | + | 7.16859i | −0.998519 | + | 0.262813i | ||||
\(745\) | 4.63843 | + | 5.35304i | 0.169939 | + | 0.196120i | ||||
\(746\) | −22.3445 | + | 15.9950i | −0.818089 | + | 0.585618i | ||||
\(747\) | −24.5795 | + | 13.4237i | −0.899318 | + | 0.491148i | ||||
\(748\) | −15.1330 | + | 2.25237i | −0.553318 | + | 0.0823549i | ||||
\(749\) | −77.2302 | + | 26.7296i | −2.82193 | + | 0.976679i | ||||
\(750\) | 16.6378 | − | 12.2129i | 0.607527 | − | 0.445952i | ||||
\(751\) | 21.8002 | − | 33.9218i | 0.795501 | − | 1.23782i | −0.172035 | − | 0.985091i | \(-0.555034\pi\) |
0.967536 | − | 0.252733i | \(-0.0813296\pi\) | |||||||
\(752\) | 0.495335 | − | 0.481760i | 0.0180630 | − | 0.0175680i | ||||
\(753\) | −20.2620 | − | 17.1380i | −0.738389 | − | 0.624545i | ||||
\(754\) | −12.4811 | − | 27.1517i | −0.454536 | − | 0.988806i | ||||
\(755\) | −0.342328 | + | 7.18635i | −0.0124586 | + | 0.261538i | ||||
\(756\) | 31.9820 | − | 33.0857i | 1.16317 | − | 1.20331i | ||||
\(757\) | −29.3391 | − | 23.0725i | −1.06635 | − | 0.838584i | −0.0789540 | − | 0.996878i | \(-0.525158\pi\) |
−0.987392 | + | 0.158295i | \(0.949400\pi\) | |||||||
\(758\) | 1.99772 | − | 44.2429i | 0.0725606 | − | 1.60697i | ||||
\(759\) | −11.7088 | + | 0.697913i | −0.425001 | + | 0.0253326i | ||||
\(760\) | 8.70401 | + | 0.349820i | 0.315727 | + | 0.0126893i | ||||
\(761\) | −3.98456 | − | 6.20010i | −0.144440 | − | 0.224753i | 0.761494 | − | 0.648172i | \(-0.224466\pi\) |
−0.905934 | + | 0.423419i | \(0.860830\pi\) | |||||||
\(762\) | 2.26940 | + | 20.6209i | 0.0822119 | + | 0.747017i | ||||
\(763\) | −34.3398 | + | 1.63581i | −1.24318 | + | 0.0592202i | ||||
\(764\) | −5.15666 | − | 0.967395i | −0.186561 | − | 0.0349991i | ||||
\(765\) | 4.71934 | − | 8.64430i | 0.170628 | − | 0.312535i | ||||
\(766\) | 9.31805 | + | 23.1093i | 0.336675 | + | 0.834973i | ||||
\(767\) | −13.3955 | − | 23.2016i | −0.483683 | − | 0.837763i | ||||
\(768\) | 24.4278 | + | 13.0875i | 0.881462 | + | 0.472255i | ||||
\(769\) | −6.08620 | − | 2.43655i | −0.219474 | − | 0.0878641i | 0.259320 | − | 0.965791i | \(-0.416502\pi\) |
−0.478794 | + | 0.877927i | \(0.658926\pi\) | |||||||
\(770\) | 7.66884 | + | 9.70218i | 0.276366 | + | 0.349642i | ||||
\(771\) | 14.5834 | − | 43.8214i | 0.525209 | − | 1.57819i | ||||
\(772\) | −0.558461 | + | 4.02565i | −0.0200994 | + | 0.144886i | ||||
\(773\) | −3.74273 | − | 19.4192i | −0.134617 | − | 0.698458i | −0.985035 | − | 0.172352i | \(-0.944863\pi\) |
0.850419 | − | 0.526107i | \(-0.176349\pi\) | |||||||
\(774\) | 5.35057 | − | 16.8863i | 0.192322 | − | 0.606965i | ||||
\(775\) | −20.6738 | − | 11.9360i | −0.742624 | − | 0.428754i | ||||
\(776\) | −9.31065 | + | 9.91116i | −0.334233 | + | 0.355790i | ||||
\(777\) | −0.218418 | + | 0.388959i | −0.00783569 | + | 0.0139538i | ||||
\(778\) | −30.3034 | + | 42.7790i | −1.08643 | + | 1.53370i | ||||
\(779\) | 6.93317 | − | 8.00131i | 0.248407 | − | 0.286677i | ||||
\(780\) | −4.51641 | − | 5.03772i | −0.161713 | − | 0.180379i | ||||
\(781\) | 2.85508 | − | 1.14300i | 0.102163 | − | 0.0408998i | ||||
\(782\) | 7.92580 | − | 13.8068i | 0.283426 | − | 0.493729i | ||||
\(783\) | 18.6667 | + | 48.2693i | 0.667094 | + | 1.72500i | ||||
\(784\) | −49.6071 | − | 9.05219i | −1.77168 | − | 0.323293i | ||||
\(785\) | −2.57702 | + | 2.70270i | −0.0919777 | + | 0.0964634i | ||||
\(786\) | −23.0011 | + | 22.5733i | −0.820423 | + | 0.805163i | ||||
\(787\) | 19.8504 | − | 38.5044i | 0.707590 | − | 1.37253i | −0.211064 | − | 0.977472i | \(-0.567693\pi\) |
0.918655 | − | 0.395061i | \(-0.129277\pi\) | |||||||
\(788\) | −10.6495 | + | 26.9879i | −0.379373 | + | 0.961405i | ||||
\(789\) | −2.60565 | − | 12.7017i | −0.0927636 | − | 0.452191i | ||||
\(790\) | −3.54229 | + | 1.23583i | −0.126029 | + | 0.0439689i | ||||
\(791\) | −72.9945 | − | 14.0685i | −2.59539 | − | 0.500220i | ||||
\(792\) | 4.57921 | − | 17.6175i | 0.162715 | − | 0.626010i | ||||
\(793\) | −23.4378 | − | 2.23803i | −0.832299 | − | 0.0794749i | ||||
\(794\) | 0.0408259 | + | 16.4823i | 0.00144886 | + | 0.584937i | ||||
\(795\) | −5.50571 | + | 14.2430i | −0.195268 | + | 0.505147i | ||||
\(796\) | −7.97589 | − | 5.62026i | −0.282698 | − | 0.199205i | ||||
\(797\) | −30.7204 | − | 32.2186i | −1.08817 | − | 1.14124i | −0.989263 | − | 0.146145i | \(-0.953313\pi\) |
−0.0989088 | − | 0.995097i | \(-0.531535\pi\) | |||||||
\(798\) | 28.8421 | + | 22.0164i | 1.02100 | + | 0.779373i | ||||
\(799\) | 0.560337 | − | 0.255897i | 0.0198233 | − | 0.00905299i | ||||
\(800\) | 6.89650 | + | 22.4548i | 0.243828 | + | 0.793896i | ||||
\(801\) | −16.0675 | − | 5.13495i | −0.567717 | − | 0.181435i | ||||
\(802\) | −6.40157 | + | 14.1099i | −0.226047 | + | 0.498237i | ||||
\(803\) | −0.873667 | −0.0308310 | ||||||||
\(804\) | −3.38754 | + | 28.1518i | −0.119469 | + | 0.992838i | ||||
\(805\) | −12.8684 | −0.453551 | ||||||||
\(806\) | −7.12642 | + | 15.7075i | −0.251017 | + | 0.553274i | ||||
\(807\) | 3.76942 | − | 16.3891i | 0.132690 | − | 0.576924i | ||||
\(808\) | −2.82626 | − | 51.3059i | −0.0994274 | − | 1.80494i | ||||
\(809\) | −21.7183 | + | 9.91842i | −0.763575 | + | 0.348713i | −0.758841 | − | 0.651276i | \(-0.774234\pi\) |
−0.00473416 | + | 0.999989i | \(0.501507\pi\) | |||||||
\(810\) | 7.26736 | + | 9.19153i | 0.255349 | + | 0.322958i | ||||
\(811\) | 5.56966 | + | 5.84129i | 0.195577 | + | 0.205116i | 0.814219 | − | 0.580557i | \(-0.197165\pi\) |
−0.618642 | + | 0.785673i | \(0.712317\pi\) | |||||||
\(812\) | 50.8063 | − | 72.1008i | 1.78295 | − | 2.53024i | ||||
\(813\) | −38.0929 | − | 14.7250i | −1.33597 | − | 0.516429i | ||||
\(814\) | 0.000437084 | 0.176460i | 1.53198e−5 | 0.00618494i | ||||||
\(815\) | 21.1444 | + | 2.01905i | 0.740657 | + | 0.0707241i | ||||
\(816\) | 16.5829 | + | 18.3136i | 0.580517 | + | 0.641105i | ||||
\(817\) | 13.7152 | + | 2.64339i | 0.479834 | + | 0.0924804i | ||||
\(818\) | −33.3265 | + | 11.6269i | −1.16523 | + | 0.406526i | ||||
\(819\) | −3.34778 | − | 27.9828i | −0.116981 | − | 0.977799i | ||||
\(820\) | −5.42020 | − | 2.13883i | −0.189282 | − | 0.0746911i | ||||
\(821\) | −17.5965 | + | 34.1324i | −0.614121 | + | 1.19123i | 0.352691 | + | 0.935740i | \(0.385267\pi\) |
−0.966812 | + | 0.255489i | \(0.917764\pi\) | |||||||
\(822\) | 3.80647 | + | 3.87862i | 0.132766 | + | 0.135282i | ||||
\(823\) | 2.37692 | − | 2.49284i | 0.0828541 | − | 0.0868949i | −0.681002 | − | 0.732282i | \(-0.738455\pi\) |
0.763856 | + | 0.645387i | \(0.223304\pi\) | |||||||
\(824\) | 3.88090 | − | 2.03739i | 0.135198 | − | 0.0709758i | ||||
\(825\) | 13.2690 | − | 7.87350i | 0.461967 | − | 0.274120i | ||||
\(826\) | 39.3686 | − | 68.5802i | 1.36981 | − | 2.38621i | ||||
\(827\) | 8.12895 | − | 3.25434i | 0.282671 | − | 0.113165i | −0.225994 | − | 0.974129i | \(-0.572563\pi\) |
0.508666 | + | 0.860964i | \(0.330139\pi\) | |||||||
\(828\) | 11.4269 | + | 15.1057i | 0.397111 | + | 0.524958i | ||||
\(829\) | 1.27838 | − | 1.47532i | 0.0443998 | − | 0.0512401i | −0.733115 | − | 0.680104i | \(-0.761934\pi\) |
0.777515 | + | 0.628864i | \(0.216480\pi\) | |||||||
\(830\) | −7.02555 | + | 9.91791i | −0.243860 | + | 0.344256i | ||||
\(831\) | 14.3900 | + | 8.08061i | 0.499183 | + | 0.280313i | ||||
\(832\) | 15.6612 | − | 6.54150i | 0.542955 | − | 0.226786i | ||||
\(833\) | −38.9321 | − | 22.4774i | −1.34892 | − | 0.778797i | ||||
\(834\) | 41.5266 | + | 9.44267i | 1.43795 | + | 0.326973i | ||||
\(835\) | −0.896100 | − | 4.64941i | −0.0310108 | − | 0.160899i | ||||
\(836\) | 14.2172 | + | 1.97229i | 0.491711 | + | 0.0682129i | ||||
\(837\) | 14.0003 | − | 26.3880i | 0.483921 | − | 0.912103i | ||||
\(838\) | −3.56635 | − | 4.51193i | −0.123197 | − | 0.155862i | ||||
\(839\) | 28.4847 | + | 11.4036i | 0.983402 | + | 0.393695i | 0.806953 | − | 0.590615i | \(-0.201115\pi\) |
0.176449 | + | 0.984310i | \(0.443539\pi\) | |||||||
\(840\) | 6.16493 | − | 18.9948i | 0.212710 | − | 0.655383i | ||||
\(841\) | 35.0995 | + | 60.7941i | 1.21033 | + | 2.09635i | ||||
\(842\) | 10.6401 | + | 26.3880i | 0.366682 | + | 0.909392i | ||||
\(843\) | −18.1173 | + | 40.9582i | −0.623994 | + | 1.41067i | ||||
\(844\) | 3.85713 | − | 20.5603i | 0.132768 | − | 0.707713i | ||||
\(845\) | 7.81539 | − | 0.372293i | 0.268857 | − | 0.0128073i | ||||
\(846\) | 0.0193082 | + | 0.732637i | 0.000663830 | + | 0.0251886i | ||||
\(847\) | −15.3163 | − | 23.8326i | −0.526274 | − | 0.818898i | ||||
\(848\) | −29.1967 | − | 24.7969i | −1.00262 | − | 0.851530i | ||||
\(849\) | 0.0938595 | + | 1.57466i | 0.00322125 | + | 0.0540423i | ||||
\(850\) | −0.944609 | + | 20.9199i | −0.0323998 | + | 0.717547i | ||||
\(851\) | −0.144331 | − | 0.113503i | −0.00494759 | − | 0.00389083i | ||||
\(852\) | −4.09334 | − | 2.81189i | −0.140235 | − | 0.0963337i | ||||
\(853\) | 1.91324 | − | 40.1639i | 0.0655081 | − | 1.37519i | −0.691782 | − | 0.722106i | \(-0.743174\pi\) |
0.757290 | − | 0.653079i | \(-0.226523\pi\) | |||||||
\(854\) | −29.0253 | − | 63.1423i | −0.993227 | − | 2.16068i | ||||
\(855\) | −6.53281 | + | 6.53374i | −0.223417 | + | 0.223449i | ||||
\(856\) | 51.7259 | + | 7.04516i | 1.76795 | + | 0.240798i | ||||
\(857\) | −10.0181 | + | 15.5885i | −0.342213 | + | 0.532494i | −0.969117 | − | 0.246603i | \(-0.920686\pi\) |
0.626903 | + | 0.779097i | \(0.284322\pi\) | |||||||
\(858\) | −6.59680 | − | 8.98692i | −0.225211 | − | 0.306808i | ||||
\(859\) | 6.83976 | − | 2.36726i | 0.233369 | − | 0.0807700i | −0.207880 | − | 0.978154i | \(-0.566656\pi\) |
0.441250 | + | 0.897384i | \(0.354535\pi\) | |||||||
\(860\) | −1.13171 | − | 7.60363i | −0.0385910 | − | 0.259282i | ||||
\(861\) | −13.3649 | − | 20.2604i | −0.455475 | − | 0.690471i | ||||
\(862\) | 8.09871 | − | 5.79735i | 0.275843 | − | 0.197459i | ||||
\(863\) | 9.44061 | + | 10.8950i | 0.321362 | + | 0.370872i | 0.893328 | − | 0.449406i | \(-0.148364\pi\) |
−0.571965 | + | 0.820278i | \(0.693819\pi\) | |||||||
\(864\) | −27.7715 | + | 9.63023i | −0.944807 | + | 0.327627i | ||||
\(865\) | 12.0189 | − | 1.14766i | 0.408654 | − | 0.0390218i | ||||
\(866\) | 30.8856 | + | 7.41180i | 1.04953 | + | 0.251863i | ||||
\(867\) | −2.83962 | − | 6.85475i | −0.0964385 | − | 0.232800i | ||||
\(868\) | −50.6560 | + | 5.09042i | −1.71938 | + | 0.172780i | ||||
\(869\) | −6.00746 | + | 1.45739i | −0.203789 | + | 0.0494387i | ||||
\(870\) | 16.4766 | + | 15.2631i | 0.558608 | + | 0.517468i | ||||
\(871\) | 12.0608 | + | 12.4942i | 0.408666 | + | 0.423349i | ||||
\(872\) | 20.0428 | + | 8.97387i | 0.678736 | + | 0.303893i | ||||
\(873\) | −1.02998 | − | 14.3866i | −0.0348596 | − | 0.486912i | ||||
\(874\) | −10.7835 | + | 10.3332i | −0.364759 | + | 0.349526i | ||||
\(875\) | 33.1617 | − | 17.0960i | 1.12107 | − | 0.577952i | ||||
\(876\) | 0.782667 | + | 1.17378i | 0.0264439 | + | 0.0396584i | ||||
\(877\) | 35.9117 | − | 3.42915i | 1.21265 | − | 0.115794i | 0.530937 | − | 0.847411i | \(-0.321840\pi\) |
0.681716 | + | 0.731617i | \(0.261234\pi\) | |||||||
\(878\) | −33.6313 | + | 3.29548i | −1.13500 | + | 0.111217i | ||||
\(879\) | 11.6525 | + | 15.9571i | 0.393030 | + | 0.538220i | ||||
\(880\) | −1.57180 | − | 7.74173i | −0.0529855 | − | 0.260974i | ||||
\(881\) | 28.1345 | + | 35.7759i | 0.947875 | + | 1.20532i | 0.978595 | + | 0.205794i | \(0.0659776\pi\) |
−0.0307199 | + | 0.999528i | \(0.509780\pi\) | |||||||
\(882\) | 42.7352 | − | 32.1615i | 1.43897 | − | 1.08293i | ||||
\(883\) | −20.5367 | + | 7.10781i | −0.691114 | + | 0.239197i | −0.649974 | − | 0.759957i | \(-0.725220\pi\) |
−0.0411400 | + | 0.999153i | \(0.513099\pi\) | |||||||
\(884\) | 15.1100 | − | 0.794821i | 0.508205 | − | 0.0267327i | ||||
\(885\) | 15.9753 | + | 12.2573i | 0.537002 | + | 0.412026i | ||||
\(886\) | −11.4967 | + | 28.9248i | −0.386239 | + | 0.971746i | ||||
\(887\) | 7.37535 | − | 10.3572i | 0.247640 | − | 0.347762i | −0.671981 | − | 0.740568i | \(-0.734556\pi\) |
0.919621 | + | 0.392807i | \(0.128496\pi\) | |||||||
\(888\) | 0.236685 | − | 0.158668i | 0.00794264 | − | 0.00532454i | ||||
\(889\) | −1.78439 | + | 37.4589i | −0.0598465 | + | 1.25633i | ||||
\(890\) | −7.24329 | + | 1.05975i | −0.242796 | + | 0.0355228i | ||||
\(891\) | 10.4405 | + | 16.2406i | 0.349770 | + | 0.544082i | ||||
\(892\) | 38.1110 | + | 32.6942i | 1.27605 | + | 1.09468i | ||||
\(893\) | −0.572017 | + | 0.0822437i | −0.0191418 | + | 0.00275218i | ||||
\(894\) | 6.75151 | − | 17.5953i | 0.225804 | − | 0.588474i | ||||
\(895\) | 4.99228 | + | 7.76814i | 0.166874 | + | 0.259660i | ||||
\(896\) | 39.9094 | + | 30.2801i | 1.33328 | + | 1.01159i | ||||
\(897\) | 11.5928 | + | 0.413622i | 0.387071 | + | 0.0138104i | ||||
\(898\) | 15.3052 | − | 7.93841i | 0.510740 | − | 0.264908i | ||||
\(899\) | 18.7272 | − | 54.1088i | 0.624588 | − | 1.80463i | ||||
\(900\) | −22.4651 | − | 10.7737i | −0.748835 | − | 0.359122i | ||||
\(901\) | −17.0748 | − | 29.5744i | −0.568843 | − | 0.985265i | ||||
\(902\) | −8.54471 | − | 4.37835i | −0.284508 | − | 0.145783i | ||||
\(903\) | 14.3321 | − | 28.6345i | 0.476943 | − | 0.952896i | ||||
\(904\) | 37.5427 | + | 29.0750i | 1.24865 | + | 0.967020i | ||||
\(905\) | −7.16783 | − | 1.73890i | −0.238267 | − | 0.0578029i | ||||
\(906\) | 17.2963 | − | 8.20224i | 0.574631 | − | 0.272501i | ||||
\(907\) | 1.06933 | + | 5.54823i | 0.0355066 | + | 0.184226i | 0.995352 | − | 0.0963037i | \(-0.0307020\pi\) |
−0.959845 | + | 0.280530i | \(0.909490\pi\) | |||||||
\(908\) | 33.6557 | − | 32.4105i | 1.11690 | − | 1.07558i | ||||
\(909\) | 42.0290 | + | 34.6970i | 1.39401 | + | 1.15083i | ||||
\(910\) | −6.63782 | − | 10.2726i | −0.220041 | − | 0.340534i | ||||
\(911\) | 10.3447 | − | 22.6518i | 0.342737 | − | 0.750488i | −0.657258 | − | 0.753665i | \(-0.728284\pi\) |
0.999995 | + | 0.00317688i | \(0.00101123\pi\) | |||||||
\(912\) | −10.0865 | − | 20.8678i | −0.333999 | − | 0.691002i | ||||
\(913\) | −13.1146 | + | 15.1351i | −0.434031 | + | 0.500899i | ||||
\(914\) | 0.612720 | − | 6.58913i | 0.0202670 | − | 0.217949i | ||||
\(915\) | 16.9182 | − | 5.18775i | 0.559298 | − | 0.171502i | ||||
\(916\) | −22.7860 | + | 9.25339i | −0.752872 | + | 0.305741i | ||||
\(917\) | −47.4550 | + | 33.7925i | −1.56710 | + | 1.11593i | ||||
\(918\) | −26.2034 | − | 0.244115i | −0.864842 | − | 0.00805700i | ||||
\(919\) | 5.77001 | − | 6.05141i | 0.190335 | − | 0.199618i | −0.621651 | − | 0.783294i | \(-0.713538\pi\) |
0.811986 | + | 0.583676i | \(0.198386\pi\) | |||||||
\(920\) | 7.33395 | + | 3.71219i | 0.241793 | + | 0.122387i | ||||
\(921\) | 3.32739 | + | 2.08269i | 0.109641 | + | 0.0686269i | ||||
\(922\) | 10.0447 | − | 2.97643i | 0.330804 | − | 0.0980236i | ||||
\(923\) | −2.91825 | + | 0.856874i | −0.0960552 | + | 0.0282044i | ||||
\(924\) | 13.1619 | − | 30.1583i | 0.432994 | − | 0.992134i | ||||
\(925\) | 0.237163 | + | 0.0457094i | 0.00779788 | + | 0.00150292i | ||||
\(926\) | −10.8102 | + | 31.4861i | −0.355245 | + | 1.03470i | ||||
\(927\) | −1.20295 | + | 4.49075i | −0.0395100 | + | 0.147496i | ||||
\(928\) | −49.7548 | + | 26.4354i | −1.63328 | + | 0.867784i | ||||
\(929\) | 6.73769 | − | 22.9465i | 0.221057 | − | 0.752849i | −0.772043 | − | 0.635571i | \(-0.780765\pi\) |
0.993099 | − | 0.117279i | \(-0.0374170\pi\) | |||||||
\(930\) | 0.430155 | − | 12.9567i | 0.0141053 | − | 0.424867i | ||||
\(931\) | 29.1035 | + | 30.5228i | 0.953827 | + | 1.00035i | ||||
\(932\) | −20.7263 | + | 7.28863i | −0.678914 | + | 0.238747i | ||||
\(933\) | −36.3332 | + | 13.0627i | −1.18950 | + | 0.427653i | ||||
\(934\) | −4.72388 | + | 24.8408i | −0.154570 | + | 0.812815i | ||||
\(935\) | 1.00226 | − | 6.97086i | 0.0327773 | − | 0.227971i | ||||
\(936\) | −6.16435 | + | 16.9137i | −0.201488 | + | 0.552842i | ||||
\(937\) | 13.7187 | 0.448171 | 0.224086 | − | 0.974569i | \(-0.428060\pi\) | ||||
0.224086 | + | 0.974569i | \(0.428060\pi\) | |||||||
\(938\) | −14.0157 | + | 49.3035i | −0.457630 | + | 1.60982i | ||||
\(939\) | 0.423527 | − | 5.07479i | 0.0138213 | − | 0.165610i | ||||
\(940\) | 0.147142 | + | 0.281978i | 0.00479925 | + | 0.00919710i | ||||
\(941\) | 31.5465 | + | 4.53570i | 1.02839 | + | 0.147860i | 0.635798 | − | 0.771855i | \(-0.280671\pi\) |
0.392587 | + | 0.919715i | \(0.371580\pi\) | |||||||
\(942\) | 9.57302 | + | 2.66165i | 0.311906 | + | 0.0867211i | ||||
\(943\) | 9.08755 | − | 4.15015i | 0.295931 | − | 0.135147i | ||||
\(944\) | −42.2206 | + | 27.7284i | −1.37416 | + | 0.902483i | ||||
\(945\) | 10.3737 | + | 18.4674i | 0.337458 | + | 0.600745i | ||||
\(946\) | −0.634041 | − | 12.6508i | −0.0206144 | − | 0.411312i | ||||
\(947\) | 28.1877 | + | 8.27664i | 0.915976 | + | 0.268955i | 0.705554 | − | 0.708656i | \(-0.250698\pi\) |
0.210422 | + | 0.977611i | \(0.432516\pi\) | |||||||
\(948\) | 7.33976 | + | 6.76550i | 0.238384 | + | 0.219733i | ||||
\(949\) | 0.860115 | + | 0.0821311i | 0.0279205 | + | 0.00266609i | ||||
\(950\) | 6.37953 | − | 18.5812i | 0.206979 | − | 0.602854i | ||||
\(951\) | −53.2418 | − | 14.9453i | −1.72649 | − | 0.484635i | ||||
\(952\) | 24.4239 | + | 37.3905i | 0.791584 | + | 1.21183i | ||||
\(953\) | 10.1438 | + | 34.5467i | 0.328591 | + | 1.11908i | 0.943746 | + | 0.330672i | \(0.107275\pi\) |
−0.615155 | + | 0.788406i | \(0.710907\pi\) | |||||||
\(954\) | 40.3297 | − | 4.92629i | 1.30572 | − | 0.159494i | ||||
\(955\) | 1.10664 | − | 2.14658i | 0.0358100 | − | 0.0694616i | ||||
\(956\) | 7.11120 | − | 1.40714i | 0.229993 | − | 0.0455103i | ||||
\(957\) | 24.5667 | + | 27.6770i | 0.794130 | + | 0.894672i | ||||
\(958\) | −6.51762 | + | 1.59826i | −0.210575 | + | 0.0516375i | ||||
\(959\) | 5.69835 | + | 8.00221i | 0.184009 | + | 0.258405i | ||||
\(960\) | −8.99302 | + | 9.04710i | −0.290249 | + | 0.291994i | ||||
\(961\) | −1.90262 | + | 0.761694i | −0.0613749 | + | 0.0245708i | ||||
\(962\) | 0.0161583 | − | 0.173764i | 0.000520963 | − | 0.00560239i | ||||
\(963\) | −42.6945 | + | 35.2567i | −1.37581 | + | 1.13613i | ||||
\(964\) | 38.1144 | − | 11.3968i | 1.22758 | − | 0.367066i | ||||
\(965\) | −1.70172 | − | 0.777148i | −0.0547802 | − | 0.0250173i | ||||
\(966\) | 16.1263 | + | 30.2037i | 0.518854 | + | 0.971789i | ||||
\(967\) | 22.5711 | + | 13.0315i | 0.725839 | + | 0.419063i | 0.816898 | − | 0.576782i | \(-0.195692\pi\) |
−0.0910589 | + | 0.995846i | \(0.529025\pi\) | |||||||
\(968\) | 1.85397 | + | 18.0010i | 0.0595889 | + | 0.578575i | ||||
\(969\) | −2.20949 | − | 20.5443i | −0.0709790 | − | 0.659979i | ||||
\(970\) | −3.14315 | − | 5.41308i | −0.100920 | − | 0.173804i | ||||
\(971\) | −7.93540 | + | 32.7102i | −0.254659 | + | 1.04972i | 0.690558 | + | 0.723277i | \(0.257365\pi\) |
−0.945217 | + | 0.326442i | \(0.894150\pi\) | |||||||
\(972\) | 12.4665 | − | 28.5760i | 0.399862 | − | 0.916575i | ||||
\(973\) | 71.4691 | + | 28.6119i | 2.29119 | + | 0.917256i | ||||
\(974\) | 0.964059 | + | 0.493988i | 0.0308904 | + | 0.0158284i | ||||
\(975\) | −13.8033 | + | 6.50399i | −0.442061 | + | 0.208294i | ||||
\(976\) | −1.67278 | + | 44.3591i | −0.0535444 | + | 1.41990i | ||||
\(977\) | −17.4802 | − | 6.04997i | −0.559243 | − | 0.193556i | 0.0328006 | − | 0.999462i | \(-0.489557\pi\) |
−0.592043 | + | 0.805906i | \(0.701679\pi\) | |||||||
\(978\) | −21.7586 | − | 52.1589i | −0.695764 | − | 1.66786i | ||||
\(979\) | −12.0483 | + | 0.573931i | −0.385065 | + | 0.0183429i | ||||
\(980\) | 10.5338 | − | 20.6836i | 0.336489 | − | 0.660714i | ||||
\(981\) | −21.4109 | + | 9.17051i | −0.683598 | + | 0.292792i | ||||
\(982\) | −3.48095 | + | 11.9646i | −0.111082 | + | 0.381805i | ||||
\(983\) | 7.09884 | + | 49.3735i | 0.226418 | + | 1.57477i | 0.713018 | + | 0.701146i | \(0.247328\pi\) |
−0.486600 | + | 0.873625i | \(0.661763\pi\) | |||||||
\(984\) | 1.77234 | + | 15.4022i | 0.0565000 | + | 0.491005i | ||||
\(985\) | −10.4976 | − | 8.25544i | −0.334483 | − | 0.263040i | ||||
\(986\) | −49.6992 | + | 7.27136i | −1.58274 | + | 0.231567i | ||||
\(987\) | −0.172880 | + | 1.31352i | −0.00550283 | + | 0.0418097i | ||||
\(988\) | −13.8112 | − | 3.27821i | −0.439394 | − | 0.104294i | ||||
\(989\) | 10.7362 | + | 7.64523i | 0.341392 | + | 0.243104i | ||||
\(990\) | 7.16566 | + | 4.34269i | 0.227739 | + | 0.138020i | ||||
\(991\) | 16.0578 | − | 24.9864i | 0.510092 | − | 0.793718i | −0.486716 | − | 0.873560i | \(-0.661805\pi\) |
0.996808 | + | 0.0798421i | \(0.0254416\pi\) | |||||||
\(992\) | 30.3383 | + | 11.7118i | 0.963243 | + | 0.371851i | ||||
\(993\) | −13.2609 | − | 51.9479i | −0.420822 | − | 1.64852i | ||||
\(994\) | −6.51242 | − | 6.17886i | −0.206562 | − | 0.195981i | ||||
\(995\) | 3.53038 | − | 2.77632i | 0.111920 | − | 0.0880152i | ||||
\(996\) | 32.0828 | + | 4.06104i | 1.01658 | + | 0.128679i | ||||
\(997\) | −33.9486 | − | 39.1788i | −1.07516 | − | 1.24081i | −0.969158 | − | 0.246440i | \(-0.920739\pi\) |
−0.106006 | − | 0.994365i | \(-0.533806\pi\) | |||||||
\(998\) | 26.4416 | − | 2.59097i | 0.836994 | − | 0.0820158i | ||||
\(999\) | −0.0465371 | + | 0.298629i | −0.00147237 | + | 0.00944819i |
(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 | 804.2.bd.a.23.20 | ✓ | 2640 | |
3.2 | odd | 2 | inner | 804.2.bd.a.23.113 | yes | 2640 | |
4.3 | odd | 2 | inner | 804.2.bd.a.23.38 | yes | 2640 | |
12.11 | even | 2 | inner | 804.2.bd.a.23.95 | yes | 2640 | |
67.35 | even | 33 | inner | 804.2.bd.a.35.95 | yes | 2640 | |
201.35 | odd | 66 | inner | 804.2.bd.a.35.38 | yes | 2640 | |
268.35 | odd | 66 | inner | 804.2.bd.a.35.113 | yes | 2640 | |
804.35 | even | 66 | inner | 804.2.bd.a.35.20 | yes | 2640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.bd.a.23.20 | ✓ | 2640 | 1.1 | even | 1 | trivial | |
804.2.bd.a.23.38 | yes | 2640 | 4.3 | odd | 2 | inner | |
804.2.bd.a.23.95 | yes | 2640 | 12.11 | even | 2 | inner | |
804.2.bd.a.23.113 | yes | 2640 | 3.2 | odd | 2 | inner | |
804.2.bd.a.35.20 | yes | 2640 | 804.35 | even | 66 | inner | |
804.2.bd.a.35.38 | yes | 2640 | 201.35 | odd | 66 | inner | |
804.2.bd.a.35.95 | yes | 2640 | 67.35 | even | 33 | inner | |
804.2.bd.a.35.113 | yes | 2640 | 268.35 | odd | 66 | inner |