Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(9,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.bk (of order \(15\), degree \(8\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(280\) |
Relative dimension: | \(35\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 9.20 | ||
Character | \(\chi\) | \(=\) | 403.9 |
Dual form | 403.2.bk.a.224.20 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.169063 | + | 0.187763i | 0.119545 | + | 0.132768i | 0.799947 | − | 0.600071i | \(-0.204861\pi\) |
−0.680401 | + | 0.732840i | \(0.738194\pi\) | |||||||
\(3\) | −1.38560 | + | 1.53887i | −0.799978 | + | 0.888465i | −0.995742 | − | 0.0921857i | \(-0.970615\pi\) |
0.195764 | + | 0.980651i | \(0.437281\pi\) | |||||||
\(4\) | 0.202384 | − | 1.92556i | 0.101192 | − | 0.962778i | ||||
\(5\) | 0.388050 | + | 0.672122i | 0.173541 | + | 0.300582i | 0.939655 | − | 0.342122i | \(-0.111146\pi\) |
−0.766114 | + | 0.642704i | \(0.777812\pi\) | |||||||
\(6\) | −0.523196 | −0.213594 | ||||||||
\(7\) | −2.21450 | − | 1.60893i | −0.837004 | − | 0.608119i | 0.0845285 | − | 0.996421i | \(-0.473062\pi\) |
−0.921532 | + | 0.388302i | \(0.873062\pi\) | |||||||
\(8\) | 0.804576 | − | 0.584559i | 0.284461 | − | 0.206673i | ||||
\(9\) | −0.134633 | − | 1.28095i | −0.0448777 | − | 0.426983i | ||||
\(10\) | −0.0605950 | + | 0.186492i | −0.0191618 | + | 0.0589740i | ||||
\(11\) | −4.32041 | − | 3.13896i | −1.30265 | − | 0.946433i | −0.302675 | − | 0.953094i | \(-0.597880\pi\) |
−0.999978 | + | 0.00666107i | \(0.997880\pi\) | |||||||
\(12\) | 2.68275 | + | 2.97950i | 0.774444 | + | 0.860107i | ||||
\(13\) | −1.62752 | + | 3.21732i | −0.451393 | + | 0.892325i | ||||
\(14\) | −0.0722919 | − | 0.687812i | −0.0193208 | − | 0.183825i | ||||
\(15\) | −1.57199 | − | 0.334137i | −0.405886 | − | 0.0862737i | ||||
\(16\) | −3.54192 | − | 0.752859i | −0.885481 | − | 0.188215i | ||||
\(17\) | −3.03741 | + | 2.20681i | −0.736679 | + | 0.535229i | −0.891669 | − | 0.452687i | \(-0.850465\pi\) |
0.154990 | + | 0.987916i | \(0.450465\pi\) | |||||||
\(18\) | 0.217753 | − | 0.241840i | 0.0513250 | − | 0.0570022i | ||||
\(19\) | 0.634389 | − | 1.95245i | 0.145539 | − | 0.447923i | −0.851541 | − | 0.524288i | \(-0.824332\pi\) |
0.997080 | + | 0.0763654i | \(0.0243315\pi\) | |||||||
\(20\) | 1.37274 | − | 0.611185i | 0.306955 | − | 0.136665i | ||||
\(21\) | 5.54435 | − | 1.17849i | 1.20988 | − | 0.257167i | ||||
\(22\) | −0.141039 | − | 1.34189i | −0.0300696 | − | 0.286093i | ||||
\(23\) | −0.728560 | − | 6.93179i | −0.151915 | − | 1.44538i | −0.759181 | − | 0.650879i | \(-0.774400\pi\) |
0.607266 | − | 0.794499i | \(-0.292266\pi\) | |||||||
\(24\) | −0.215264 | + | 2.04810i | −0.0439406 | + | 0.418067i | ||||
\(25\) | 2.19883 | − | 3.80849i | 0.439767 | − | 0.761699i | ||||
\(26\) | −0.879247 | + | 0.238341i | −0.172435 | + | 0.0467425i | ||||
\(27\) | −2.86806 | − | 2.08377i | −0.551958 | − | 0.401021i | ||||
\(28\) | −3.54627 | + | 3.93853i | −0.670181 | + | 0.744312i | ||||
\(29\) | −3.93225 | − | 4.36721i | −0.730201 | − | 0.810971i | 0.257672 | − | 0.966232i | \(-0.417045\pi\) |
−0.987873 | + | 0.155262i | \(0.950378\pi\) | |||||||
\(30\) | −0.203026 | − | 0.351652i | −0.0370673 | − | 0.0642025i | ||||
\(31\) | 5.18019 | + | 2.04099i | 0.930389 | + | 0.366573i | ||||
\(32\) | −1.45196 | − | 2.51487i | −0.256672 | − | 0.444570i | ||||
\(33\) | 10.8168 | − | 2.29919i | 1.88297 | − | 0.400237i | ||||
\(34\) | −0.927868 | − | 0.197224i | −0.159128 | − | 0.0338237i | ||||
\(35\) | 0.222060 | − | 2.11276i | 0.0375350 | − | 0.357122i | ||||
\(36\) | −2.49379 | −0.415631 | ||||||||
\(37\) | 0.426214 | + | 0.738225i | 0.0700692 | + | 0.121363i | 0.898931 | − | 0.438089i | \(-0.144345\pi\) |
−0.828862 | + | 0.559453i | \(0.811011\pi\) | |||||||
\(38\) | 0.473849 | − | 0.210971i | 0.0768685 | − | 0.0342241i | ||||
\(39\) | −2.69594 | − | 6.96247i | −0.431696 | − | 1.11489i | ||||
\(40\) | 0.705111 | + | 0.313936i | 0.111488 | + | 0.0496376i | ||||
\(41\) | −2.24785 | + | 6.91817i | −0.351055 | + | 1.08044i | 0.607206 | + | 0.794544i | \(0.292290\pi\) |
−0.958262 | + | 0.285893i | \(0.907710\pi\) | |||||||
\(42\) | 1.15862 | + | 0.841786i | 0.178779 | + | 0.129890i | ||||
\(43\) | −2.61494 | + | 8.04795i | −0.398774 | + | 1.22730i | 0.527209 | + | 0.849736i | \(0.323238\pi\) |
−0.925983 | + | 0.377565i | \(0.876762\pi\) | |||||||
\(44\) | −6.91863 | + | 7.68392i | −1.04302 | + | 1.15839i | ||||
\(45\) | 0.808710 | − | 0.587562i | 0.120555 | − | 0.0875886i | ||||
\(46\) | 1.17836 | − | 1.30870i | 0.173740 | − | 0.192958i | ||||
\(47\) | 1.92241 | + | 5.91656i | 0.280412 | + | 0.863020i | 0.987736 | + | 0.156130i | \(0.0499020\pi\) |
−0.707324 | + | 0.706889i | \(0.750098\pi\) | |||||||
\(48\) | 6.06625 | − | 4.40739i | 0.875587 | − | 0.636151i | ||||
\(49\) | 0.152247 | + | 0.468568i | 0.0217496 | + | 0.0669384i | ||||
\(50\) | 1.08683 | − | 0.231014i | 0.153702 | − | 0.0326703i | ||||
\(51\) | 0.812657 | − | 7.73192i | 0.113795 | − | 1.08269i | ||||
\(52\) | 5.86575 | + | 3.78502i | 0.813434 | + | 0.524888i | ||||
\(53\) | −1.80544 | − | 0.803833i | −0.247996 | − | 0.110415i | 0.278974 | − | 0.960299i | \(-0.410006\pi\) |
−0.526971 | + | 0.849884i | \(0.676672\pi\) | |||||||
\(54\) | −0.0936270 | − | 0.890802i | −0.0127410 | − | 0.121223i | ||||
\(55\) | 0.433231 | − | 4.12192i | 0.0584169 | − | 0.555799i | ||||
\(56\) | −2.72225 | −0.363776 | ||||||||
\(57\) | 2.12555 | + | 3.68156i | 0.281536 | + | 0.487634i | ||||
\(58\) | 0.155204 | − | 1.47666i | 0.0203792 | − | 0.193895i | ||||
\(59\) | −4.48443 | − | 13.8017i | −0.583823 | − | 1.79682i | −0.603944 | − | 0.797026i | \(-0.706405\pi\) |
0.0201210 | − | 0.999798i | \(-0.493595\pi\) | |||||||
\(60\) | −0.961545 | + | 2.95933i | −0.124135 | + | 0.382048i | ||||
\(61\) | −2.29696 | − | 3.97846i | −0.294096 | − | 0.509389i | 0.680678 | − | 0.732583i | \(-0.261685\pi\) |
−0.974774 | + | 0.223193i | \(0.928352\pi\) | |||||||
\(62\) | 0.492554 | + | 1.31770i | 0.0625544 | + | 0.167348i | ||||
\(63\) | −1.76281 | + | 3.05328i | −0.222094 | + | 0.384677i | ||||
\(64\) | −2.01121 | + | 6.18986i | −0.251401 | + | 0.773732i | ||||
\(65\) | −2.79400 | + | 0.154589i | −0.346552 | + | 0.0191745i | ||||
\(66\) | 2.26042 | + | 1.64229i | 0.278239 | + | 0.202152i | ||||
\(67\) | 10.0243 | 1.22466 | 0.612332 | − | 0.790601i | \(-0.290232\pi\) | ||||
0.612332 | + | 0.790601i | \(0.290232\pi\) | |||||||
\(68\) | 3.63460 | + | 6.29532i | 0.440761 | + | 0.763420i | ||||
\(69\) | 11.6766 | + | 8.48355i | 1.40570 | + | 1.02130i | ||||
\(70\) | 0.434241 | − | 0.315494i | 0.0519017 | − | 0.0377088i | ||||
\(71\) | 0.545709 | + | 5.19208i | 0.0647638 | + | 0.616186i | 0.977978 | + | 0.208707i | \(0.0669255\pi\) |
−0.913214 | + | 0.407479i | \(0.866408\pi\) | |||||||
\(72\) | −0.857113 | − | 0.951921i | −0.101012 | − | 0.112185i | ||||
\(73\) | −1.13080 | + | 10.7588i | −0.132350 | + | 1.25922i | 0.703672 | + | 0.710525i | \(0.251543\pi\) |
−0.836021 | + | 0.548697i | \(0.815124\pi\) | |||||||
\(74\) | −0.0665544 | + | 0.204833i | −0.00773679 | + | 0.0238114i | ||||
\(75\) | 2.81405 | + | 8.66077i | 0.324939 | + | 1.00006i | ||||
\(76\) | −3.63116 | − | 1.61670i | −0.416523 | − | 0.185448i | ||||
\(77\) | 4.51719 | + | 13.9025i | 0.514782 | + | 1.58434i | ||||
\(78\) | 0.851512 | − | 1.68329i | 0.0964148 | − | 0.190595i | ||||
\(79\) | −0.0542565 | − | 0.516216i | −0.00610434 | − | 0.0580789i | 0.991046 | − | 0.133523i | \(-0.0426291\pi\) |
−0.997150 | + | 0.0754445i | \(0.975962\pi\) | |||||||
\(80\) | −0.868430 | − | 2.67275i | −0.0970934 | − | 0.298823i | ||||
\(81\) | 10.9602 | − | 2.32966i | 1.21780 | − | 0.258851i | ||||
\(82\) | −1.67900 | + | 0.747541i | −0.185415 | + | 0.0825521i | ||||
\(83\) | −1.26488 | + | 0.268860i | −0.138839 | + | 0.0295112i | −0.276807 | − | 0.960926i | \(-0.589276\pi\) |
0.137968 | + | 0.990437i | \(0.455943\pi\) | |||||||
\(84\) | −1.14716 | − | 10.9145i | −0.125165 | − | 1.19087i | ||||
\(85\) | −2.66191 | − | 1.18516i | −0.288725 | − | 0.128548i | ||||
\(86\) | −1.95319 | + | 0.869618i | −0.210618 | + | 0.0937733i | ||||
\(87\) | 12.1691 | 1.30466 | ||||||||
\(88\) | −5.31101 | −0.566155 | ||||||||
\(89\) | −8.56861 | + | 3.81499i | −0.908271 | + | 0.404388i | −0.807055 | − | 0.590476i | \(-0.798940\pi\) |
−0.101216 | + | 0.994865i | \(0.532273\pi\) | |||||||
\(90\) | 0.247045 | + | 0.0525111i | 0.0260408 | + | 0.00553515i | ||||
\(91\) | 8.78060 | − | 4.50621i | 0.920457 | − | 0.472379i | ||||
\(92\) | −13.4950 | −1.40695 | ||||||||
\(93\) | −10.3185 | + | 5.14362i | −1.06998 | + | 0.533369i | ||||
\(94\) | −0.785905 | + | 1.36123i | −0.0810599 | + | 0.140400i | ||||
\(95\) | 1.55846 | − | 0.331261i | 0.159895 | − | 0.0339866i | ||||
\(96\) | 5.88188 | + | 1.25023i | 0.600317 | + | 0.127601i | ||||
\(97\) | −1.32017 | + | 12.5606i | −0.134043 | + | 1.27533i | 0.696166 | + | 0.717881i | \(0.254888\pi\) |
−0.830209 | + | 0.557452i | \(0.811779\pi\) | |||||||
\(98\) | −0.0622405 | + | 0.107804i | −0.00628724 | + | 0.0108898i | ||||
\(99\) | −3.43918 | + | 5.95684i | −0.345651 | + | 0.598685i | ||||
\(100\) | −6.88846 | − | 5.00476i | −0.688846 | − | 0.500476i | ||||
\(101\) | 0.595780 | + | 5.66847i | 0.0592824 | + | 0.564034i | 0.983339 | + | 0.181779i | \(0.0581857\pi\) |
−0.924057 | + | 0.382255i | \(0.875148\pi\) | |||||||
\(102\) | 1.58916 | − | 1.15459i | 0.157350 | − | 0.114322i | ||||
\(103\) | 11.4619 | − | 2.43631i | 1.12938 | − | 0.240057i | 0.394924 | − | 0.918714i | \(-0.370771\pi\) |
0.734455 | + | 0.678657i | \(0.237438\pi\) | |||||||
\(104\) | 0.571251 | + | 3.53996i | 0.0560157 | + | 0.347122i | ||||
\(105\) | 2.94357 | + | 3.26917i | 0.287263 | + | 0.319038i | ||||
\(106\) | −0.154302 | − | 0.474893i | −0.0149871 | − | 0.0461257i | ||||
\(107\) | −6.22359 | − | 2.77092i | −0.601657 | − | 0.267875i | 0.0832229 | − | 0.996531i | \(-0.473479\pi\) |
−0.684880 | + | 0.728656i | \(0.740145\pi\) | |||||||
\(108\) | −4.59286 | + | 5.10088i | −0.441948 | + | 0.490833i | ||||
\(109\) | −4.18542 | − | 12.8814i | −0.400891 | − | 1.23381i | −0.924278 | − | 0.381720i | \(-0.875332\pi\) |
0.523387 | − | 0.852095i | \(-0.324668\pi\) | |||||||
\(110\) | 0.847187 | − | 0.615517i | 0.0807761 | − | 0.0586873i | ||||
\(111\) | −1.72659 | − | 0.366999i | −0.163881 | − | 0.0348340i | ||||
\(112\) | 6.63230 | + | 7.36592i | 0.626694 | + | 0.696014i | ||||
\(113\) | 9.35000 | − | 4.16289i | 0.879574 | − | 0.391611i | 0.0832833 | − | 0.996526i | \(-0.473459\pi\) |
0.796290 | + | 0.604914i | \(0.206793\pi\) | |||||||
\(114\) | −0.331910 | + | 1.02151i | −0.0310862 | + | 0.0956735i | ||||
\(115\) | 4.37629 | − | 3.17956i | 0.408091 | − | 0.296496i | ||||
\(116\) | −9.20514 | + | 6.68792i | −0.854676 | + | 0.620958i | ||||
\(117\) | 4.34035 | + | 1.65161i | 0.401265 | + | 0.152692i | ||||
\(118\) | 1.83329 | − | 3.17536i | 0.168768 | − | 0.292315i | ||||
\(119\) | 10.2769 | 0.942086 | ||||||||
\(120\) | −1.46011 | + | 0.650082i | −0.133289 | + | 0.0593441i | ||||
\(121\) | 5.41368 | + | 16.6616i | 0.492153 | + | 1.51469i | ||||
\(122\) | 0.358676 | − | 1.10389i | 0.0324730 | − | 0.0999417i | ||||
\(123\) | −7.53152 | − | 13.0450i | −0.679094 | − | 1.17623i | ||||
\(124\) | 4.97843 | − | 9.56168i | 0.447076 | − | 0.858664i | ||||
\(125\) | 7.29353 | 0.652353 | ||||||||
\(126\) | −0.871319 | + | 0.185205i | −0.0776233 | + | 0.0164993i | ||||
\(127\) | 2.94276 | − | 3.26826i | 0.261128 | − | 0.290012i | −0.598297 | − | 0.801275i | \(-0.704156\pi\) |
0.859424 | + | 0.511263i | \(0.170822\pi\) | |||||||
\(128\) | −6.80797 | + | 3.03110i | −0.601745 | + | 0.267914i | ||||
\(129\) | −8.76146 | − | 15.1753i | −0.771403 | − | 1.33611i | ||||
\(130\) | −0.501386 | − | 0.498474i | −0.0439745 | − | 0.0437190i | ||||
\(131\) | −7.07275 | + | 3.14899i | −0.617949 | + | 0.275129i | −0.691742 | − | 0.722145i | \(-0.743156\pi\) |
0.0737925 | + | 0.997274i | \(0.476490\pi\) | |||||||
\(132\) | −2.23806 | − | 21.2937i | −0.194798 | − | 1.85338i | ||||
\(133\) | −4.54621 | + | 3.30302i | −0.394207 | + | 0.286408i | ||||
\(134\) | 1.69473 | + | 1.88219i | 0.146403 | + | 0.162597i | ||||
\(135\) | 0.287596 | − | 2.73629i | 0.0247523 | − | 0.235502i | ||||
\(136\) | −1.15382 | + | 3.55109i | −0.0989391 | + | 0.304503i | ||||
\(137\) | 0.0580371 | + | 0.0123362i | 0.00495844 | + | 0.00105395i | 0.210390 | − | 0.977617i | \(-0.432527\pi\) |
−0.205432 | + | 0.978671i | \(0.565860\pi\) | |||||||
\(138\) | 0.381180 | + | 3.62668i | 0.0324482 | + | 0.308724i | ||||
\(139\) | 11.9987 | − | 13.3259i | 1.01772 | − | 1.13029i | 0.0262848 | − | 0.999654i | \(-0.491632\pi\) |
0.991431 | − | 0.130633i | \(-0.0417010\pi\) | |||||||
\(140\) | −4.02330 | − | 0.855179i | −0.340031 | − | 0.0722758i | ||||
\(141\) | −11.7685 | − | 5.23967i | −0.991086 | − | 0.441260i | ||||
\(142\) | −0.882621 | + | 0.980250i | −0.0740679 | + | 0.0822608i | ||||
\(143\) | 17.1306 | − | 8.79144i | 1.43253 | − | 0.735177i | ||||
\(144\) | −0.487514 | + | 4.63839i | −0.0406262 | + | 0.386532i | ||||
\(145\) | 1.40939 | − | 4.33765i | 0.117043 | − | 0.360222i | ||||
\(146\) | −2.21128 | + | 1.60659i | −0.183007 | + | 0.132962i | ||||
\(147\) | −0.932019 | − | 0.414961i | −0.0768716 | − | 0.0342254i | ||||
\(148\) | 1.50775 | − | 0.671295i | 0.123936 | − | 0.0551801i | ||||
\(149\) | 11.7563 | 0.963111 | 0.481556 | − | 0.876416i | \(-0.340072\pi\) | ||||
0.481556 | + | 0.876416i | \(0.340072\pi\) | |||||||
\(150\) | −1.15042 | + | 1.99259i | −0.0939315 | + | 0.162694i | ||||
\(151\) | −16.2236 | − | 11.7871i | −1.32026 | − | 0.959224i | −0.999929 | − | 0.0119181i | \(-0.996206\pi\) |
−0.320330 | − | 0.947306i | \(-0.603794\pi\) | |||||||
\(152\) | −0.630907 | − | 1.94173i | −0.0511733 | − | 0.157495i | ||||
\(153\) | 3.23574 | + | 3.59365i | 0.261594 | + | 0.290530i | ||||
\(154\) | −1.84668 | + | 3.19855i | −0.148810 | + | 0.257747i | ||||
\(155\) | 0.638377 | + | 4.27373i | 0.0512757 | + | 0.343274i | ||||
\(156\) | −13.9522 | + | 3.78209i | −1.11707 | + | 0.302809i | ||||
\(157\) | 7.17426 | − | 22.0801i | 0.572568 | − | 1.76218i | −0.0717467 | − | 0.997423i | \(-0.522857\pi\) |
0.644315 | − | 0.764760i | \(-0.277143\pi\) | |||||||
\(158\) | 0.0877536 | − | 0.0974602i | 0.00698130 | − | 0.00775352i | ||||
\(159\) | 3.73861 | − | 1.66454i | 0.296491 | − | 0.132006i | ||||
\(160\) | 1.12687 | − | 1.95179i | 0.0890865 | − | 0.154302i | ||||
\(161\) | −9.53937 | + | 16.5227i | −0.751808 | + | 1.30217i | ||||
\(162\) | 2.29038 | + | 1.66406i | 0.179950 | + | 0.130741i | ||||
\(163\) | −12.7827 | − | 5.69124i | −1.00122 | − | 0.445773i | −0.160381 | − | 0.987055i | \(-0.551272\pi\) |
−0.840841 | + | 0.541283i | \(0.817939\pi\) | |||||||
\(164\) | 12.8664 | + | 5.72849i | 1.00470 | + | 0.447320i | ||||
\(165\) | 5.74280 | + | 6.37803i | 0.447076 | + | 0.496529i | ||||
\(166\) | −0.264327 | − | 0.192044i | −0.0205157 | − | 0.0149055i | ||||
\(167\) | −10.3487 | + | 2.19968i | −0.800806 | + | 0.170217i | −0.590097 | − | 0.807332i | \(-0.700911\pi\) |
−0.210709 | + | 0.977549i | \(0.567577\pi\) | |||||||
\(168\) | 3.77196 | − | 4.18918i | 0.291013 | − | 0.323203i | ||||
\(169\) | −7.70235 | − | 10.4725i | −0.592488 | − | 0.805579i | ||||
\(170\) | −0.227500 | − | 0.700174i | −0.0174485 | − | 0.0537009i | ||||
\(171\) | −2.58640 | − | 0.549756i | −0.197787 | − | 0.0420409i | ||||
\(172\) | 14.9676 | + | 6.66398i | 1.14127 | + | 0.508124i | ||||
\(173\) | −19.6180 | − | 4.16994i | −1.49153 | − | 0.317035i | −0.611232 | − | 0.791451i | \(-0.709326\pi\) |
−0.880301 | + | 0.474416i | \(0.842659\pi\) | |||||||
\(174\) | 2.05734 | + | 2.28491i | 0.155966 | + | 0.173218i | ||||
\(175\) | −10.9969 | + | 4.89615i | −0.831290 | + | 0.370114i | ||||
\(176\) | 12.9394 | + | 14.3706i | 0.975342 | + | 1.08323i | ||||
\(177\) | 27.4526 | + | 12.2227i | 2.06346 | + | 0.918712i | ||||
\(178\) | −2.16494 | − | 0.963896i | −0.162269 | − | 0.0722470i | ||||
\(179\) | 0.411009 | − | 3.91049i | 0.0307203 | − | 0.292284i | −0.968366 | − | 0.249536i | \(-0.919722\pi\) |
0.999086 | − | 0.0427482i | \(-0.0136113\pi\) | |||||||
\(180\) | −0.967714 | − | 1.67613i | −0.0721292 | − | 0.124931i | ||||
\(181\) | −9.59091 | − | 16.6119i | −0.712887 | − | 1.23476i | −0.963769 | − | 0.266738i | \(-0.914054\pi\) |
0.250882 | − | 0.968018i | \(-0.419279\pi\) | |||||||
\(182\) | 2.33057 | + | 0.886841i | 0.172753 | + | 0.0657371i | ||||
\(183\) | 9.30499 | + | 1.97784i | 0.687845 | + | 0.146206i | ||||
\(184\) | −4.63822 | − | 5.15127i | −0.341934 | − | 0.379757i | ||||
\(185\) | −0.330785 | + | 0.572936i | −0.0243198 | + | 0.0421231i | ||||
\(186\) | −2.71025 | − | 1.06784i | −0.198725 | − | 0.0782976i | ||||
\(187\) | 20.0499 | 1.46620 | ||||||||
\(188\) | 11.7817 | − | 2.50429i | 0.859272 | − | 0.182644i | ||||
\(189\) | 2.99869 | + | 9.22901i | 0.218122 | + | 0.671312i | ||||
\(190\) | 0.325676 | + | 0.236617i | 0.0236270 | + | 0.0171660i | ||||
\(191\) | −7.15716 | + | 12.3966i | −0.517874 | + | 0.896984i | 0.481911 | + | 0.876220i | \(0.339943\pi\) |
−0.999784 | + | 0.0207632i | \(0.993390\pi\) | |||||||
\(192\) | −6.73864 | − | 11.6717i | −0.486319 | − | 0.842329i | ||||
\(193\) | 0.647567 | − | 6.16119i | 0.0466129 | − | 0.443492i | −0.946179 | − | 0.323643i | \(-0.895092\pi\) |
0.992792 | − | 0.119849i | \(-0.0382410\pi\) | |||||||
\(194\) | −2.58160 | + | 1.87564i | −0.185348 | + | 0.134663i | ||||
\(195\) | 3.63347 | − | 4.51379i | 0.260198 | − | 0.323239i | ||||
\(196\) | 0.933067 | − | 0.198330i | 0.0666477 | − | 0.0141664i | ||||
\(197\) | 17.4981 | + | 12.7131i | 1.24669 | + | 0.905770i | 0.998025 | − | 0.0628210i | \(-0.0200097\pi\) |
0.248660 | + | 0.968591i | \(0.420010\pi\) | |||||||
\(198\) | −1.69991 | + | 0.361327i | −0.120807 | + | 0.0256784i | ||||
\(199\) | −11.6441 | − | 2.47504i | −0.825430 | − | 0.175451i | −0.224217 | − | 0.974539i | \(-0.571982\pi\) |
−0.601213 | + | 0.799089i | \(0.705316\pi\) | |||||||
\(200\) | −0.457158 | − | 4.34957i | −0.0323260 | − | 0.307561i | ||||
\(201\) | −13.8897 | + | 15.4261i | −0.979703 | + | 1.08807i | ||||
\(202\) | −0.963605 | + | 1.07019i | −0.0677990 | + | 0.0752984i | ||||
\(203\) | 1.68145 | + | 15.9979i | 0.118015 | + | 1.12283i | ||||
\(204\) | −14.7238 | − | 3.12964i | −1.03087 | − | 0.219118i | ||||
\(205\) | −5.52214 | + | 1.17377i | −0.385683 | + | 0.0819794i | ||||
\(206\) | 2.39524 | + | 1.74024i | 0.166884 | + | 0.121248i | ||||
\(207\) | −8.78118 | + | 1.86650i | −0.610334 | + | 0.129731i | ||||
\(208\) | 8.18675 | − | 10.1702i | 0.567649 | − | 0.705178i | ||||
\(209\) | −8.86949 | + | 6.44406i | −0.613515 | + | 0.445745i | ||||
\(210\) | −0.116181 | + | 1.10539i | −0.00801725 | + | 0.0762790i | ||||
\(211\) | 7.32721 | + | 12.6911i | 0.504426 | + | 0.873692i | 0.999987 | + | 0.00511858i | \(0.00162930\pi\) |
−0.495561 | + | 0.868573i | \(0.665037\pi\) | |||||||
\(212\) | −1.91322 | + | 3.31379i | −0.131400 | + | 0.227592i | ||||
\(213\) | −8.74605 | − | 6.35438i | −0.599270 | − | 0.435395i | ||||
\(214\) | −0.531900 | − | 1.63702i | −0.0363599 | − | 0.111904i | ||||
\(215\) | −6.42393 | + | 1.36545i | −0.438108 | + | 0.0931228i | ||||
\(216\) | −3.52565 | −0.239890 | ||||||||
\(217\) | −8.18773 | − | 12.8543i | −0.555819 | − | 0.872610i | ||||
\(218\) | 1.71105 | − | 2.96363i | 0.115887 | − | 0.200722i | ||||
\(219\) | −14.9895 | − | 16.6476i | −1.01290 | − | 1.12494i | ||||
\(220\) | −7.84931 | − | 1.66842i | −0.529200 | − | 0.112485i | ||||
\(221\) | −2.15656 | − | 13.3639i | −0.145066 | − | 0.898956i | ||||
\(222\) | −0.222993 | − | 0.386236i | −0.0149663 | − | 0.0259225i | ||||
\(223\) | 2.23120 | + | 3.86455i | 0.149412 | + | 0.258790i | 0.931010 | − | 0.364993i | \(-0.118929\pi\) |
−0.781598 | + | 0.623782i | \(0.785595\pi\) | |||||||
\(224\) | −0.830878 | + | 7.90528i | −0.0555154 | + | 0.528194i | ||||
\(225\) | −5.17452 | − | 2.30385i | −0.344968 | − | 0.153590i | ||||
\(226\) | 2.36237 | + | 1.05180i | 0.157143 | + | 0.0699644i | ||||
\(227\) | −8.86746 | − | 9.84831i | −0.588554 | − | 0.653656i | 0.373142 | − | 0.927774i | \(-0.378281\pi\) |
−0.961696 | + | 0.274119i | \(0.911614\pi\) | |||||||
\(228\) | 7.51923 | − | 3.34778i | 0.497973 | − | 0.221712i | ||||
\(229\) | 7.78664 | + | 8.64794i | 0.514556 | + | 0.571472i | 0.943295 | − | 0.331956i | \(-0.107709\pi\) |
−0.428739 | + | 0.903428i | \(0.641042\pi\) | |||||||
\(230\) | 1.33687 | + | 0.284161i | 0.0881507 | + | 0.0187370i | ||||
\(231\) | −27.6531 | − | 12.3120i | −1.81944 | − | 0.810067i | ||||
\(232\) | −5.71669 | − | 1.21512i | −0.375319 | − | 0.0797765i | ||||
\(233\) | −8.23318 | − | 25.3391i | −0.539374 | − | 1.66002i | −0.734004 | − | 0.679145i | \(-0.762351\pi\) |
0.194631 | − | 0.980877i | \(-0.437649\pi\) | |||||||
\(234\) | 0.423678 | + | 1.09418i | 0.0276967 | + | 0.0715290i | ||||
\(235\) | −3.23066 | + | 3.58802i | −0.210745 | + | 0.234056i | ||||
\(236\) | −27.4835 | + | 5.84179i | −1.78902 | + | 0.380268i | ||||
\(237\) | 0.869566 | + | 0.631777i | 0.0564844 | + | 0.0410383i | ||||
\(238\) | 1.73745 | + | 1.92963i | 0.112622 | + | 0.125079i | ||||
\(239\) | 13.9695 | + | 6.21962i | 0.903611 | + | 0.402314i | 0.805317 | − | 0.592844i | \(-0.201995\pi\) |
0.0982936 | + | 0.995157i | \(0.468662\pi\) | |||||||
\(240\) | 5.31631 | + | 2.36697i | 0.343166 | + | 0.152788i | ||||
\(241\) | 10.8064 | + | 7.85131i | 0.696101 | + | 0.505747i | 0.878660 | − | 0.477448i | \(-0.158438\pi\) |
−0.182559 | + | 0.983195i | \(0.558438\pi\) | |||||||
\(242\) | −2.21318 | + | 3.83334i | −0.142269 | + | 0.246416i | ||||
\(243\) | −6.28377 | + | 10.8838i | −0.403104 | + | 0.698196i | ||||
\(244\) | −8.12561 | + | 3.61775i | −0.520189 | + | 0.231603i | ||||
\(245\) | −0.255856 | + | 0.284157i | −0.0163460 | + | 0.0181541i | ||||
\(246\) | 1.17607 | − | 3.61956i | 0.0749832 | − | 0.230775i | ||||
\(247\) | 5.24918 | + | 5.21869i | 0.333997 | + | 0.332057i | ||||
\(248\) | 5.36094 | − | 1.38599i | 0.340420 | − | 0.0880107i | ||||
\(249\) | 1.33889 | − | 2.31902i | 0.0848486 | − | 0.146962i | ||||
\(250\) | 1.23306 | + | 1.36946i | 0.0779858 | + | 0.0866120i | ||||
\(251\) | −3.62420 | − | 11.1541i | −0.228758 | − | 0.704044i | −0.997888 | − | 0.0649521i | \(-0.979311\pi\) |
0.769131 | − | 0.639091i | \(-0.220689\pi\) | |||||||
\(252\) | 5.52250 | + | 4.01233i | 0.347885 | + | 0.252753i | ||||
\(253\) | −18.6109 | + | 32.2351i | −1.17006 | + | 2.02660i | ||||
\(254\) | 1.11117 | 0.0697210 | ||||||||
\(255\) | 5.51215 | − | 2.45417i | 0.345184 | − | 0.153686i | ||||
\(256\) | 10.1713 | + | 4.52857i | 0.635709 | + | 0.283036i | ||||
\(257\) | 20.2307 | − | 14.6985i | 1.26196 | − | 0.916865i | 0.263105 | − | 0.964767i | \(-0.415254\pi\) |
0.998852 | + | 0.0479022i | \(0.0152536\pi\) | |||||||
\(258\) | 1.36812 | − | 4.21065i | 0.0851757 | − | 0.262144i | ||||
\(259\) | 0.243900 | − | 2.32055i | 0.0151552 | − | 0.144192i | ||||
\(260\) | −0.267790 | + | 5.41128i | −0.0166076 | + | 0.335593i | ||||
\(261\) | −5.06476 | + | 5.62499i | −0.313501 | + | 0.348178i | ||||
\(262\) | −1.78700 | − | 0.795625i | −0.110401 | − | 0.0491539i | ||||
\(263\) | −3.26886 | − | 0.694818i | −0.201567 | − | 0.0428443i | 0.106022 | − | 0.994364i | \(-0.466189\pi\) |
−0.307588 | + | 0.951520i | \(0.599522\pi\) | |||||||
\(264\) | 7.35895 | − | 8.17294i | 0.452912 | − | 0.503009i | ||||
\(265\) | −0.160326 | − | 1.52540i | −0.00984877 | − | 0.0937048i | ||||
\(266\) | −1.38878 | − | 0.295194i | −0.0851515 | − | 0.0180995i | ||||
\(267\) | 6.00192 | − | 18.4720i | 0.367312 | − | 1.13047i | ||||
\(268\) | 2.02876 | − | 19.3024i | 0.123926 | − | 1.17908i | ||||
\(269\) | −15.6800 | − | 17.4144i | −0.956027 | − | 1.06178i | −0.998035 | − | 0.0626584i | \(-0.980042\pi\) |
0.0420079 | − | 0.999117i | \(-0.486625\pi\) | |||||||
\(270\) | 0.562396 | − | 0.408604i | 0.0342263 | − | 0.0248669i | ||||
\(271\) | −0.764550 | − | 7.27421i | −0.0464431 | − | 0.441877i | −0.992892 | − | 0.119022i | \(-0.962024\pi\) |
0.946449 | − | 0.322855i | \(-0.104643\pi\) | |||||||
\(272\) | 12.4197 | − | 5.52960i | 0.753053 | − | 0.335281i | ||||
\(273\) | −5.23197 | + | 19.7560i | −0.316653 | + | 1.19569i | ||||
\(274\) | 0.00749563 | + | 0.0129828i | 0.000452827 | + | 0.000784320i | ||||
\(275\) | −21.4546 | + | 9.55220i | −1.29376 | + | 0.576019i | ||||
\(276\) | 18.6987 | − | 20.7670i | 1.12553 | − | 1.25003i | ||||
\(277\) | 26.7800 | − | 5.69227i | 1.60906 | − | 0.342016i | 0.686276 | − | 0.727341i | \(-0.259244\pi\) |
0.922781 | + | 0.385326i | \(0.125911\pi\) | |||||||
\(278\) | 4.53064 | 0.271730 | ||||||||
\(279\) | 1.91698 | − | 6.91034i | 0.114767 | − | 0.413712i | ||||
\(280\) | −1.05637 | − | 1.82969i | −0.0631302 | − | 0.109345i | ||||
\(281\) | 1.93612 | − | 5.95878i | 0.115499 | − | 0.355471i | −0.876551 | − | 0.481308i | \(-0.840162\pi\) |
0.992051 | + | 0.125837i | \(0.0401618\pi\) | |||||||
\(282\) | −1.00580 | − | 3.09552i | −0.0598943 | − | 0.184336i | ||||
\(283\) | −8.59101 | + | 3.82497i | −0.510683 | + | 0.227371i | −0.645867 | − | 0.763450i | \(-0.723504\pi\) |
0.135184 | + | 0.990820i | \(0.456837\pi\) | |||||||
\(284\) | 10.1081 | 0.599804 | ||||||||
\(285\) | −1.64964 | + | 2.85726i | −0.0977162 | + | 0.169249i | ||||
\(286\) | 4.54685 | + | 1.73019i | 0.268861 | + | 0.102309i | ||||
\(287\) | 16.1087 | − | 11.7037i | 0.950868 | − | 0.690846i | ||||
\(288\) | −3.02593 | + | 2.19847i | −0.178305 | + | 0.129546i | ||||
\(289\) | −0.897439 | + | 2.76203i | −0.0527905 | + | 0.162473i | ||||
\(290\) | 1.05273 | − | 0.468704i | 0.0618182 | − | 0.0275232i | ||||
\(291\) | −17.4998 | − | 19.4355i | −1.02586 | − | 1.13933i | ||||
\(292\) | 20.4878 | + | 4.35482i | 1.19896 | + | 0.254847i | ||||
\(293\) | −11.6644 | + | 8.47465i | −0.681439 | + | 0.495094i | −0.873835 | − | 0.486223i | \(-0.838374\pi\) |
0.192396 | + | 0.981317i | \(0.438374\pi\) | |||||||
\(294\) | −0.0796551 | − | 0.245153i | −0.00464558 | − | 0.0142976i | ||||
\(295\) | 7.53622 | − | 8.36982i | 0.438776 | − | 0.487310i | ||||
\(296\) | 0.774458 | + | 0.344811i | 0.0450144 | + | 0.0200417i | ||||
\(297\) | 5.85032 | + | 18.0054i | 0.339470 | + | 1.04478i | ||||
\(298\) | 1.98755 | + | 2.20739i | 0.115135 | + | 0.127871i | ||||
\(299\) | 23.4876 | + | 8.93762i | 1.35832 | + | 0.516876i | ||||
\(300\) | 17.2463 | − | 3.66582i | 0.995717 | − | 0.211646i | ||||
\(301\) | 18.7394 | − | 13.6150i | 1.08012 | − | 0.784753i | ||||
\(302\) | −0.529616 | − | 5.03896i | −0.0304760 | − | 0.289959i | ||||
\(303\) | −9.54854 | − | 6.93742i | −0.548549 | − | 0.398544i | ||||
\(304\) | −3.71688 | + | 6.43782i | −0.213178 | + | 0.369234i | ||||
\(305\) | 1.78267 | − | 3.08768i | 0.102076 | − | 0.176800i | ||||
\(306\) | −0.127713 | + | 1.21510i | −0.00730085 | + | 0.0694629i | ||||
\(307\) | −18.8558 | − | 4.00792i | −1.07616 | − | 0.228744i | −0.364451 | − | 0.931223i | \(-0.618743\pi\) |
−0.711705 | + | 0.702479i | \(0.752077\pi\) | |||||||
\(308\) | 27.6842 | − | 5.88446i | 1.57746 | − | 0.335298i | ||||
\(309\) | −12.1325 | + | 21.0142i | −0.690196 | + | 1.19545i | ||||
\(310\) | −0.694522 | + | 0.842391i | −0.0394462 | + | 0.0478446i | ||||
\(311\) | −20.3771 | −1.15548 | −0.577740 | − | 0.816221i | \(-0.696065\pi\) | ||||
−0.577740 | + | 0.816221i | \(0.696065\pi\) | |||||||
\(312\) | −6.23906 | − | 4.02590i | −0.353217 | − | 0.227922i | ||||
\(313\) | 11.7994 | + | 2.50805i | 0.666944 | + | 0.141763i | 0.528928 | − | 0.848667i | \(-0.322594\pi\) |
0.138016 | + | 0.990430i | \(0.455927\pi\) | |||||||
\(314\) | 5.35872 | − | 2.38586i | 0.302410 | − | 0.134642i | ||||
\(315\) | −2.73624 | −0.154170 | ||||||||
\(316\) | −1.00498 | −0.0565348 | ||||||||
\(317\) | −21.7159 | + | 9.66853i | −1.21969 | + | 0.543039i | −0.912682 | − | 0.408670i | \(-0.865993\pi\) |
−0.307003 | + | 0.951709i | \(0.599326\pi\) | |||||||
\(318\) | 0.944598 | + | 0.420562i | 0.0529704 | + | 0.0235839i | ||||
\(319\) | 3.28044 | + | 31.2113i | 0.183670 | + | 1.74750i | ||||
\(320\) | −4.94079 | + | 1.05020i | −0.276199 | + | 0.0587078i | ||||
\(321\) | 12.8875 | − | 5.73788i | 0.719310 | − | 0.320257i | ||||
\(322\) | −4.71510 | + | 1.00222i | −0.262762 | + | 0.0558518i | ||||
\(323\) | 2.38178 | + | 7.33036i | 0.132526 | + | 0.407872i | ||||
\(324\) | −2.26773 | − | 21.5760i | −0.125985 | − | 1.19867i | ||||
\(325\) | 8.67451 | + | 13.2728i | 0.481175 | + | 0.736241i | ||||
\(326\) | −1.09248 | − | 3.36230i | −0.0605068 | − | 0.186221i | ||||
\(327\) | 25.6221 | + | 11.4077i | 1.41691 | + | 0.630847i | ||||
\(328\) | 2.23551 | + | 6.88020i | 0.123435 | + | 0.379895i | ||||
\(329\) | 5.26216 | − | 16.1953i | 0.290112 | − | 0.892874i | ||||
\(330\) | −0.226665 | + | 2.15657i | −0.0124775 | + | 0.118715i | ||||
\(331\) | −9.72794 | − | 10.8040i | −0.534696 | − | 0.593840i | 0.413903 | − | 0.910321i | \(-0.364165\pi\) |
−0.948599 | + | 0.316481i | \(0.897499\pi\) | |||||||
\(332\) | 0.261712 | + | 2.49002i | 0.0143633 | + | 0.136658i | ||||
\(333\) | 0.888246 | − | 0.645348i | 0.0486756 | − | 0.0353649i | ||||
\(334\) | −2.16260 | − | 1.57122i | −0.118332 | − | 0.0859732i | ||||
\(335\) | 3.88993 | + | 6.73756i | 0.212530 | + | 0.368112i | ||||
\(336\) | −20.5249 | −1.11973 | ||||||||
\(337\) | −15.2764 | − | 11.0989i | −0.832156 | − | 0.604597i | 0.0880124 | − | 0.996119i | \(-0.471948\pi\) |
−0.920169 | + | 0.391523i | \(0.871948\pi\) | |||||||
\(338\) | 0.664174 | − | 3.21673i | 0.0361263 | − | 0.174967i | ||||
\(339\) | −6.54925 | + | 20.1565i | −0.355706 | + | 1.09475i | ||||
\(340\) | −2.82082 | + | 4.88580i | −0.152980 | + | 0.264970i | ||||
\(341\) | −15.9740 | − | 25.0783i | −0.865038 | − | 1.35807i | ||||
\(342\) | −0.334039 | − | 0.578573i | −0.0180628 | − | 0.0312856i | ||||
\(343\) | −5.50431 | + | 16.9405i | −0.297205 | + | 0.914703i | ||||
\(344\) | 2.60058 | + | 8.00377i | 0.140214 | + | 0.431534i | ||||
\(345\) | −1.17088 | + | 11.1401i | −0.0630379 | + | 0.599765i | ||||
\(346\) | −2.53372 | − | 4.38853i | −0.136213 | − | 0.235929i | ||||
\(347\) | 10.4738 | 0.562261 | 0.281130 | − | 0.959670i | \(-0.409291\pi\) | ||||
0.281130 | + | 0.959670i | \(0.409291\pi\) | |||||||
\(348\) | 2.46283 | − | 23.4323i | 0.132022 | − | 1.25610i | ||||
\(349\) | −0.473067 | − | 4.50093i | −0.0253227 | − | 0.240929i | −0.999860 | − | 0.0167058i | \(-0.994682\pi\) |
0.974538 | − | 0.224223i | \(-0.0719845\pi\) | |||||||
\(350\) | −2.77848 | − | 1.23706i | −0.148516 | − | 0.0661237i | ||||
\(351\) | 11.3720 | − | 5.83610i | 0.606991 | − | 0.311508i | ||||
\(352\) | −1.62101 | + | 15.4229i | −0.0864002 | + | 0.822043i | ||||
\(353\) | −0.119217 | + | 0.0253403i | −0.00634527 | + | 0.00134873i | −0.211083 | − | 0.977468i | \(-0.567699\pi\) |
0.204738 | + | 0.978817i | \(0.434366\pi\) | |||||||
\(354\) | 2.34624 | + | 7.22097i | 0.124701 | + | 0.383790i | ||||
\(355\) | −3.27795 | + | 2.38157i | −0.173975 | + | 0.126401i | ||||
\(356\) | 5.61183 | + | 17.2714i | 0.297426 | + | 0.915384i | ||||
\(357\) | −14.2398 | + | 15.8148i | −0.753648 | + | 0.837011i | ||||
\(358\) | 0.803732 | − | 0.583946i | 0.0424786 | − | 0.0308625i | ||||
\(359\) | 2.71420 | − | 3.01443i | 0.143250 | − | 0.159095i | −0.667250 | − | 0.744834i | \(-0.732529\pi\) |
0.810500 | + | 0.585738i | \(0.199195\pi\) | |||||||
\(360\) | 0.307204 | − | 0.945478i | 0.0161911 | − | 0.0498310i | ||||
\(361\) | 11.9617 | + | 8.69069i | 0.629564 | + | 0.457405i | ||||
\(362\) | 1.49764 | − | 4.60928i | 0.0787144 | − | 0.242258i | ||||
\(363\) | −33.1412 | − | 14.7554i | −1.73946 | − | 0.774458i | ||||
\(364\) | −6.89990 | − | 17.8195i | −0.361653 | − | 0.933997i | ||||
\(365\) | −7.67004 | + | 3.41492i | −0.401468 | + | 0.178745i | ||||
\(366\) | 1.20176 | + | 2.08151i | 0.0628171 | + | 0.108802i | ||||
\(367\) | 18.7469 | 0.978583 | 0.489291 | − | 0.872120i | \(-0.337255\pi\) | ||||
0.489291 | + | 0.872120i | \(0.337255\pi\) | |||||||
\(368\) | −2.63816 | + | 25.1004i | −0.137523 | + | 1.30845i | ||||
\(369\) | 9.16446 | + | 1.94797i | 0.477083 | + | 0.101407i | ||||
\(370\) | −0.163500 | + | 0.0347529i | −0.00849994 | + | 0.00180672i | ||||
\(371\) | 2.70484 | + | 4.68492i | 0.140428 | + | 0.243229i | ||||
\(372\) | 7.81603 | + | 20.9098i | 0.405242 | + | 1.08412i | ||||
\(373\) | 11.0904 | + | 19.2092i | 0.574240 | + | 0.994613i | 0.996124 | + | 0.0879632i | \(0.0280358\pi\) |
−0.421883 | + | 0.906650i | \(0.638631\pi\) | |||||||
\(374\) | 3.38969 | + | 3.76463i | 0.175277 | + | 0.194665i | ||||
\(375\) | −10.1059 | + | 11.2238i | −0.521868 | + | 0.579593i | ||||
\(376\) | 5.00530 | + | 3.63657i | 0.258129 | + | 0.187542i | ||||
\(377\) | 20.4506 | − | 5.54361i | 1.05326 | − | 0.285510i | ||||
\(378\) | −1.22590 | + | 2.12332i | −0.0630535 | + | 0.109212i | ||||
\(379\) | 2.16925 | − | 20.6391i | 0.111427 | − | 1.06016i | −0.785768 | − | 0.618522i | \(-0.787732\pi\) |
0.897195 | − | 0.441635i | \(-0.145601\pi\) | |||||||
\(380\) | −0.322454 | − | 3.06794i | −0.0165415 | − | 0.157382i | ||||
\(381\) | 0.951932 | + | 9.05703i | 0.0487690 | + | 0.464006i | ||||
\(382\) | −3.53762 | + | 0.751945i | −0.181001 | + | 0.0384728i | ||||
\(383\) | −17.5008 | + | 7.79188i | −0.894251 | + | 0.398146i | −0.801815 | − | 0.597572i | \(-0.796132\pi\) |
−0.0924363 | + | 0.995719i | \(0.529465\pi\) | |||||||
\(384\) | 4.76867 | − | 14.6765i | 0.243350 | − | 0.748955i | ||||
\(385\) | −7.59127 | + | 8.43096i | −0.386887 | + | 0.429682i | ||||
\(386\) | 1.26632 | − | 0.920037i | 0.0644541 | − | 0.0468287i | ||||
\(387\) | 10.6611 | + | 2.26608i | 0.541933 | + | 0.115191i | ||||
\(388\) | 23.9189 | + | 5.08412i | 1.21430 | + | 0.258107i | ||||
\(389\) | 1.70995 | + | 16.2691i | 0.0866981 | + | 0.824877i | 0.948318 | + | 0.317323i | \(0.102784\pi\) |
−0.861620 | + | 0.507555i | \(0.830550\pi\) | |||||||
\(390\) | 1.46181 | − | 0.0808805i | 0.0740214 | − | 0.00409554i | ||||
\(391\) | 17.5100 | + | 19.4469i | 0.885521 | + | 0.983471i | ||||
\(392\) | 0.396400 | + | 0.288002i | 0.0200212 | + | 0.0145463i | ||||
\(393\) | 4.95414 | − | 15.2473i | 0.249903 | − | 0.769124i | ||||
\(394\) | 0.571220 | + | 5.43479i | 0.0287776 | + | 0.273801i | ||||
\(395\) | 0.325906 | − | 0.236785i | 0.0163981 | − | 0.0119139i | ||||
\(396\) | 10.7742 | + | 7.82791i | 0.541423 | + | 0.393367i | ||||
\(397\) | −9.88413 | −0.496070 | −0.248035 | − | 0.968751i | \(-0.579785\pi\) | ||||
−0.248035 | + | 0.968751i | \(0.579785\pi\) | |||||||
\(398\) | −1.50387 | − | 2.60477i | −0.0753820 | − | 0.130565i | ||||
\(399\) | 1.21634 | − | 11.5727i | 0.0608931 | − | 0.579359i | ||||
\(400\) | −10.6554 | + | 11.8340i | −0.532768 | + | 0.591699i | ||||
\(401\) | −2.16987 | − | 2.40989i | −0.108358 | − | 0.120344i | 0.686526 | − | 0.727106i | \(-0.259135\pi\) |
−0.794884 | + | 0.606761i | \(0.792468\pi\) | |||||||
\(402\) | −5.24467 | −0.261580 | ||||||||
\(403\) | −14.9974 | + | 13.3446i | −0.747073 | + | 0.664741i | ||||
\(404\) | 11.0355 | 0.549039 | ||||||||
\(405\) | 5.81892 | + | 6.46257i | 0.289145 | + | 0.321128i | ||||
\(406\) | −2.71955 | + | 3.02036i | −0.134969 | + | 0.149898i | ||||
\(407\) | 0.475839 | − | 4.52730i | 0.0235865 | − | 0.224410i | ||||
\(408\) | −3.86592 | − | 6.69597i | −0.191391 | − | 0.331500i | ||||
\(409\) | 23.5514 | 1.16454 | 0.582270 | − | 0.812996i | \(-0.302165\pi\) | ||||
0.582270 | + | 0.812996i | \(0.302165\pi\) | |||||||
\(410\) | −1.15398 | − | 0.838413i | −0.0569908 | − | 0.0414063i | ||||
\(411\) | −0.0994000 | + | 0.0722184i | −0.00490304 | + | 0.00356227i | ||||
\(412\) | −2.37154 | − | 22.5637i | −0.116837 | − | 1.11163i | ||||
\(413\) | −12.2751 | + | 37.7790i | −0.604020 | + | 1.85898i | ||||
\(414\) | −1.83503 | − | 1.33323i | −0.0901867 | − | 0.0655245i | ||||
\(415\) | −0.671545 | − | 0.745826i | −0.0329649 | − | 0.0366112i | ||||
\(416\) | 10.4542 | − | 0.578424i | 0.512561 | − | 0.0283596i | ||||
\(417\) | 3.88137 | + | 36.9288i | 0.190072 | + | 1.80841i | ||||
\(418\) | −2.70945 | − | 0.575912i | −0.132524 | − | 0.0281688i | ||||
\(419\) | −13.7018 | − | 2.91240i | −0.669376 | − | 0.142280i | −0.139326 | − | 0.990247i | \(-0.544494\pi\) |
−0.530050 | + | 0.847966i | \(0.677827\pi\) | |||||||
\(420\) | 6.89070 | − | 5.00639i | 0.336232 | − | 0.244287i | ||||
\(421\) | 9.09619 | − | 10.1023i | 0.443321 | − | 0.492358i | −0.479524 | − | 0.877529i | \(-0.659191\pi\) |
0.922845 | + | 0.385171i | \(0.125857\pi\) | |||||||
\(422\) | −1.14416 | + | 3.52137i | −0.0556970 | + | 0.171418i | ||||
\(423\) | 7.32000 | − | 3.25907i | 0.355911 | − | 0.158462i | ||||
\(424\) | −1.92250 | + | 0.408640i | −0.0933649 | + | 0.0198453i | ||||
\(425\) | 1.72585 | + | 16.4203i | 0.0837159 | + | 0.796503i | ||||
\(426\) | −0.285513 | − | 2.71647i | −0.0138331 | − | 0.131614i | ||||
\(427\) | −1.31443 | + | 12.5060i | −0.0636097 | + | 0.605206i | ||||
\(428\) | −6.59512 | + | 11.4231i | −0.318787 | + | 0.552155i | ||||
\(429\) | −10.2074 | + | 38.5432i | −0.492817 | + | 1.86088i | ||||
\(430\) | −1.34243 | − | 0.975330i | −0.0647376 | − | 0.0470346i | ||||
\(431\) | 4.65093 | − | 5.16538i | 0.224027 | − | 0.248808i | −0.620644 | − | 0.784092i | \(-0.713129\pi\) |
0.844672 | + | 0.535285i | \(0.179796\pi\) | |||||||
\(432\) | 8.58966 | + | 9.53978i | 0.413270 | + | 0.458983i | ||||
\(433\) | −3.64661 | − | 6.31611i | −0.175245 | − | 0.303533i | 0.765001 | − | 0.644029i | \(-0.222738\pi\) |
−0.940246 | + | 0.340496i | \(0.889405\pi\) | |||||||
\(434\) | 1.02933 | − | 3.71054i | 0.0494095 | − | 0.178112i | ||||
\(435\) | 4.72222 | + | 8.17912i | 0.226413 | + | 0.392159i | ||||
\(436\) | −25.6509 | + | 5.45227i | −1.22846 | + | 0.261117i | ||||
\(437\) | −13.9962 | − | 2.97498i | −0.669527 | − | 0.142312i | ||||
\(438\) | 0.591628 | − | 5.62896i | 0.0282691 | − | 0.268962i | ||||
\(439\) | −29.7344 | −1.41914 | −0.709572 | − | 0.704633i | \(-0.751112\pi\) | ||||
−0.709572 | + | 0.704633i | \(0.751112\pi\) | |||||||
\(440\) | −2.06094 | − | 3.56965i | −0.0982513 | − | 0.170176i | ||||
\(441\) | 0.579715 | − | 0.258106i | 0.0276055 | − | 0.0122907i | ||||
\(442\) | 2.14466 | − | 2.66427i | 0.102011 | − | 0.126726i | ||||
\(443\) | −20.7369 | − | 9.23266i | −0.985240 | − | 0.438657i | −0.150086 | − | 0.988673i | \(-0.547955\pi\) |
−0.835154 | + | 0.550016i | \(0.814622\pi\) | |||||||
\(444\) | −1.05611 | + | 3.25038i | −0.0501208 | + | 0.154256i | ||||
\(445\) | −5.88919 | − | 4.27875i | −0.279174 | − | 0.202832i | ||||
\(446\) | −0.348408 | + | 1.07229i | −0.0164976 | + | 0.0507743i | ||||
\(447\) | −16.2895 | + | 18.0913i | −0.770468 | + | 0.855691i | ||||
\(448\) | 14.4129 | − | 10.4716i | 0.680944 | − | 0.494735i | ||||
\(449\) | 5.68226 | − | 6.31079i | 0.268162 | − | 0.297825i | −0.593991 | − | 0.804472i | \(-0.702449\pi\) |
0.862154 | + | 0.506647i | \(0.169115\pi\) | |||||||
\(450\) | −0.442241 | − | 1.36108i | −0.0208474 | − | 0.0641618i | ||||
\(451\) | 31.4275 | − | 22.8334i | 1.47986 | − | 1.07518i | ||||
\(452\) | −6.12358 | − | 18.8464i | −0.288029 | − | 0.886462i | ||||
\(453\) | 40.6183 | − | 8.63369i | 1.90842 | − | 0.405646i | ||||
\(454\) | 0.349993 | − | 3.32996i | 0.0164260 | − | 0.156283i | ||||
\(455\) | 6.43603 | + | 4.15301i | 0.301726 | + | 0.194696i | ||||
\(456\) | 3.86225 | + | 1.71959i | 0.180867 | + | 0.0805270i | ||||
\(457\) | 0.0141334 | + | 0.134470i | 0.000661132 | + | 0.00629025i | 0.994847 | − | 0.101383i | \(-0.0323267\pi\) |
−0.994186 | + | 0.107673i | \(0.965660\pi\) | |||||||
\(458\) | −0.307334 | + | 2.92409i | −0.0143608 | + | 0.136634i | ||||
\(459\) | 13.3099 | 0.621254 | ||||||||
\(460\) | −5.23674 | − | 9.07029i | −0.244164 | − | 0.422905i | ||||
\(461\) | −0.885599 | + | 8.42591i | −0.0412464 | + | 0.392434i | 0.954350 | + | 0.298691i | \(0.0965499\pi\) |
−0.995596 | + | 0.0937430i | \(0.970117\pi\) | |||||||
\(462\) | −2.36337 | − | 7.27372i | −0.109954 | − | 0.338404i | ||||
\(463\) | −6.90524 | + | 21.2522i | −0.320914 | + | 0.987671i | 0.652338 | + | 0.757929i | \(0.273788\pi\) |
−0.973251 | + | 0.229743i | \(0.926212\pi\) | |||||||
\(464\) | 10.6399 | + | 18.4288i | 0.493943 | + | 0.855534i | ||||
\(465\) | −7.46123 | − | 4.93931i | −0.346006 | − | 0.229055i | ||||
\(466\) | 3.36583 | − | 5.82978i | 0.155919 | − | 0.270060i | ||||
\(467\) | 5.55788 | − | 17.1054i | 0.257188 | − | 0.791544i | −0.736202 | − | 0.676761i | \(-0.763383\pi\) |
0.993391 | − | 0.114783i | \(-0.0366171\pi\) | |||||||
\(468\) | 4.05869 | − | 8.02332i | 0.187613 | − | 0.370878i | ||||
\(469\) | −22.1988 | − | 16.1284i | −1.02505 | − | 0.744741i | ||||
\(470\) | −1.21988 | −0.0562689 | ||||||||
\(471\) | 24.0377 | + | 41.6345i | 1.10760 | + | 1.91841i | ||||
\(472\) | −11.6760 | − | 8.48308i | −0.537429 | − | 0.390465i | ||||
\(473\) | 36.5598 | − | 26.5622i | 1.68102 | − | 1.22133i | ||||
\(474\) | 0.0283868 | + | 0.270082i | 0.00130385 | + | 0.0124053i | ||||
\(475\) | −6.04097 | − | 6.70918i | −0.277179 | − | 0.307838i | ||||
\(476\) | 2.07989 | − | 19.7888i | 0.0953316 | − | 0.907020i | ||||
\(477\) | −0.786597 | + | 2.42090i | −0.0360158 | + | 0.110845i | ||||
\(478\) | 1.19390 | + | 3.67446i | 0.0546079 | + | 0.168066i | ||||
\(479\) | 19.5693 | + | 8.71280i | 0.894143 | + | 0.398098i | 0.801774 | − | 0.597627i | \(-0.203890\pi\) |
0.0923684 | + | 0.995725i | \(0.470556\pi\) | |||||||
\(480\) | 1.44216 | + | 4.43850i | 0.0658251 | + | 0.202589i | ||||
\(481\) | −3.06878 | + | 0.169793i | −0.139924 | + | 0.00774190i | ||||
\(482\) | 0.352772 | + | 3.35640i | 0.0160683 | + | 0.152880i | ||||
\(483\) | −12.2084 | − | 37.5737i | −0.555503 | − | 1.70966i | ||||
\(484\) | 33.1785 | − | 7.05230i | 1.50811 | − | 0.320559i | ||||
\(485\) | −8.95453 | + | 3.98681i | −0.406604 | + | 0.181032i | ||||
\(486\) | −3.10593 | + | 0.660185i | −0.140888 | + | 0.0299466i | ||||
\(487\) | −0.405058 | − | 3.85387i | −0.0183549 | − | 0.174636i | 0.981504 | − | 0.191443i | \(-0.0613166\pi\) |
−0.999859 | + | 0.0168070i | \(0.994650\pi\) | |||||||
\(488\) | −4.17372 | − | 1.85826i | −0.188936 | − | 0.0841196i | ||||
\(489\) | 26.4699 | − | 11.7851i | 1.19701 | − | 0.532943i | ||||
\(490\) | −0.0966098 | −0.00436438 | ||||||||
\(491\) | −43.0216 | −1.94154 | −0.970768 | − | 0.240018i | \(-0.922847\pi\) | ||||
−0.970768 | + | 0.240018i | \(0.922847\pi\) | |||||||
\(492\) | −26.6431 | + | 11.8623i | −1.20116 | + | 0.534792i | ||||
\(493\) | 21.5814 | + | 4.58728i | 0.971979 | + | 0.206601i | ||||
\(494\) | −0.0924366 | + | 1.86789i | −0.00415892 | + | 0.0840402i | ||||
\(495\) | −5.33830 | −0.239939 | ||||||||
\(496\) | −16.8113 | − | 11.1290i | −0.754848 | − | 0.499706i | ||||
\(497\) | 7.14522 | − | 12.3759i | 0.320507 | − | 0.555134i | ||||
\(498\) | 0.661782 | − | 0.140666i | 0.0296552 | − | 0.00630340i | ||||
\(499\) | −5.19317 | − | 1.10384i | −0.232478 | − | 0.0494148i | 0.0901993 | − | 0.995924i | \(-0.471250\pi\) |
−0.322678 | + | 0.946509i | \(0.604583\pi\) | |||||||
\(500\) | 1.47609 | − | 14.0441i | 0.0660130 | − | 0.628071i | ||||
\(501\) | 10.9542 | − | 18.9731i | 0.489395 | − | 0.847658i | ||||
\(502\) | 1.48162 | − | 2.56624i | 0.0661279 | − | 0.114537i | ||||
\(503\) | −7.99336 | − | 5.80751i | −0.356406 | − | 0.258944i | 0.395145 | − | 0.918619i | \(-0.370694\pi\) |
−0.751552 | + | 0.659674i | \(0.770694\pi\) | |||||||
\(504\) | 0.366505 | + | 3.48707i | 0.0163255 | + | 0.155326i | ||||
\(505\) | −3.57871 | + | 2.60009i | −0.159251 | + | 0.115702i | ||||
\(506\) | −9.19897 | + | 1.95530i | −0.408944 | + | 0.0869238i | ||||
\(507\) | 26.7882 | + | 2.65786i | 1.18971 | + | 0.118040i | ||||
\(508\) | −5.69766 | − | 6.32789i | −0.252793 | − | 0.280755i | ||||
\(509\) | −2.65205 | − | 8.16218i | −0.117550 | − | 0.361782i | 0.874920 | − | 0.484267i | \(-0.160914\pi\) |
−0.992470 | + | 0.122485i | \(0.960914\pi\) | |||||||
\(510\) | 1.39270 | + | 0.620070i | 0.0616698 | + | 0.0274571i | ||||
\(511\) | 19.8143 | − | 22.0060i | 0.876534 | − | 0.973489i | ||||
\(512\) | 5.47504 | + | 16.8504i | 0.241965 | + | 0.744691i | ||||
\(513\) | −5.88791 | + | 4.27782i | −0.259958 | + | 0.188870i | ||||
\(514\) | 6.18008 | + | 1.31362i | 0.272592 | + | 0.0579412i | ||||
\(515\) | 6.08531 | + | 6.75842i | 0.268151 | + | 0.297812i | ||||
\(516\) | −30.9941 | + | 13.7994i | −1.36444 | + | 0.607487i | ||||
\(517\) | 10.2663 | − | 31.5964i | 0.451510 | − | 1.38961i | ||||
\(518\) | 0.476948 | − | 0.346523i | 0.0209559 | − | 0.0152253i | ||||
\(519\) | 33.5998 | − | 24.4117i | 1.47487 | − | 1.07155i | ||||
\(520\) | −2.15762 | + | 1.75763i | −0.0946177 | + | 0.0770773i | ||||
\(521\) | 21.4926 | − | 37.2262i | 0.941607 | − | 1.63091i | 0.179200 | − | 0.983813i | \(-0.442649\pi\) |
0.762407 | − | 0.647098i | \(-0.224017\pi\) | |||||||
\(522\) | −1.91243 | −0.0837047 | ||||||||
\(523\) | −8.30962 | + | 3.69968i | −0.363354 | + | 0.161776i | −0.580290 | − | 0.814410i | \(-0.697061\pi\) |
0.216935 | + | 0.976186i | \(0.430394\pi\) | |||||||
\(524\) | 4.63215 | + | 14.2563i | 0.202356 | + | 0.622789i | ||||
\(525\) | 7.70285 | − | 23.7069i | 0.336180 | − | 1.03465i | ||||
\(526\) | −0.422181 | − | 0.731239i | −0.0184080 | − | 0.0318835i | ||||
\(527\) | −20.2384 | + | 5.23235i | −0.881599 | + | 0.227925i | ||||
\(528\) | −40.0433 | −1.74266 | ||||||||
\(529\) | −25.0215 | + | 5.31849i | −1.08789 | + | 0.231239i | ||||
\(530\) | 0.259309 | − | 0.287992i | 0.0112637 | − | 0.0125096i | ||||
\(531\) | −17.0755 | + | 7.60249i | −0.741013 | + | 0.329920i | ||||
\(532\) | 5.44006 | + | 9.42247i | 0.235857 | + | 0.408516i | ||||
\(533\) | −18.5996 | − | 18.4915i | −0.805637 | − | 0.800957i | ||||
\(534\) | 4.48306 | − | 1.99599i | 0.194001 | − | 0.0863748i | ||||
\(535\) | −0.552666 | − | 5.25827i | −0.0238938 | − | 0.227335i | ||||
\(536\) | 8.06532 | − | 5.85979i | 0.348369 | − | 0.253105i | ||||
\(537\) | 5.44823 | + | 6.05088i | 0.235109 | + | 0.261115i | ||||
\(538\) | 0.618880 | − | 5.88825i | 0.0266818 | − | 0.253861i | ||||
\(539\) | 0.813049 | − | 2.50231i | 0.0350205 | − | 0.107782i | ||||
\(540\) | −5.21068 | − | 1.10756i | −0.224232 | − | 0.0476619i | ||||
\(541\) | 0.413562 | + | 3.93478i | 0.0177804 | + | 0.169170i | 0.999809 | − | 0.0195650i | \(-0.00622812\pi\) |
−0.982028 | + | 0.188734i | \(0.939561\pi\) | |||||||
\(542\) | 1.23657 | − | 1.37335i | 0.0531152 | − | 0.0589905i | ||||
\(543\) | 38.8528 | + | 8.25841i | 1.66733 | + | 0.354402i | ||||
\(544\) | 9.96001 | + | 4.43448i | 0.427032 | + | 0.190127i | ||||
\(545\) | 7.03373 | − | 7.81175i | 0.301292 | − | 0.334618i | ||||
\(546\) | −4.59397 | + | 2.35763i | −0.196604 | + | 0.100897i | ||||
\(547\) | −0.569738 | + | 5.42069i | −0.0243602 | + | 0.231772i | 0.975567 | + | 0.219702i | \(0.0705087\pi\) |
−0.999927 | + | 0.0120697i | \(0.996158\pi\) | |||||||
\(548\) | 0.0354998 | − | 0.109257i | 0.00151648 | − | 0.00466723i | ||||
\(549\) | −4.78695 | + | 3.47793i | −0.204302 | + | 0.148434i | ||||
\(550\) | −5.42072 | − | 2.41346i | −0.231140 | − | 0.102910i | ||||
\(551\) | −11.0213 | + | 4.90702i | −0.469525 | + | 0.209046i | ||||
\(552\) | 14.3538 | 0.610940 | ||||||||
\(553\) | −0.710405 | + | 1.23046i | −0.0302095 | + | 0.0523244i | ||||
\(554\) | 5.59630 | + | 4.06595i | 0.237764 | + | 0.172746i | ||||
\(555\) | −0.423336 | − | 1.30290i | −0.0179696 | − | 0.0553048i | ||||
\(556\) | −23.2314 | − | 25.8011i | −0.985232 | − | 1.09421i | ||||
\(557\) | 1.18972 | − | 2.06066i | 0.0504101 | − | 0.0873128i | −0.839719 | − | 0.543021i | \(-0.817281\pi\) |
0.890129 | + | 0.455708i | \(0.150614\pi\) | |||||||
\(558\) | 1.62160 | − | 0.808343i | 0.0686477 | − | 0.0342199i | ||||
\(559\) | −21.6370 | − | 21.5113i | −0.915147 | − | 0.909831i | ||||
\(560\) | −2.37713 | + | 7.31606i | −0.100452 | + | 0.309160i | ||||
\(561\) | −27.7812 | + | 30.8542i | −1.17292 | + | 1.30266i | ||||
\(562\) | 1.44616 | − | 0.643873i | 0.0610027 | − | 0.0271602i | ||||
\(563\) | −10.0205 | + | 17.3560i | −0.422314 | + | 0.731469i | −0.996165 | − | 0.0874903i | \(-0.972115\pi\) |
0.573851 | + | 0.818959i | \(0.305449\pi\) | |||||||
\(564\) | −12.4710 | + | 21.6005i | −0.525126 | + | 0.909544i | ||||
\(565\) | 6.42624 | + | 4.66893i | 0.270354 | + | 0.196424i | ||||
\(566\) | −2.17061 | − | 0.966416i | −0.0912374 | − | 0.0406215i | ||||
\(567\) | −28.0197 | − | 12.4752i | −1.17672 | − | 0.523907i | ||||
\(568\) | 3.47414 | + | 3.85842i | 0.145772 | + | 0.161896i | ||||
\(569\) | 20.3093 | + | 14.7556i | 0.851411 | + | 0.618586i | 0.925535 | − | 0.378663i | \(-0.123616\pi\) |
−0.0741235 | + | 0.997249i | \(0.523616\pi\) | |||||||
\(570\) | −0.815379 | + | 0.173314i | −0.0341525 | + | 0.00725933i | ||||
\(571\) | 4.99308 | − | 5.54538i | 0.208954 | − | 0.232067i | −0.629553 | − | 0.776957i | \(-0.716762\pi\) |
0.838507 | + | 0.544890i | \(0.183429\pi\) | |||||||
\(572\) | −13.4614 | − | 34.7652i | −0.562851 | − | 1.45361i | ||||
\(573\) | −9.15968 | − | 28.1906i | −0.382651 | − | 1.17768i | ||||
\(574\) | 4.92090 | + | 1.04597i | 0.205394 | + | 0.0436579i | ||||
\(575\) | −28.0017 | − | 12.4671i | −1.16775 | − | 0.519916i | ||||
\(576\) | 8.19967 | + | 1.74289i | 0.341653 | + | 0.0726206i | ||||
\(577\) | −1.40912 | − | 1.56498i | −0.0586624 | − | 0.0651512i | 0.713099 | − | 0.701063i | \(-0.247291\pi\) |
−0.771762 | + | 0.635912i | \(0.780624\pi\) | |||||||
\(578\) | −0.670331 | + | 0.298451i | −0.0278821 | + | 0.0124139i | ||||
\(579\) | 8.58398 | + | 9.53348i | 0.356738 | + | 0.396198i | ||||
\(580\) | −8.06716 | − | 3.59173i | −0.334970 | − | 0.149138i | ||||
\(581\) | 3.23367 | + | 1.43972i | 0.134155 | + | 0.0597297i | ||||
\(582\) | 0.690707 | − | 6.57164i | 0.0286307 | − | 0.272403i | ||||
\(583\) | 5.27704 | + | 9.14009i | 0.218552 | + | 0.378544i | ||||
\(584\) | 5.37934 | + | 9.31730i | 0.222599 | + | 0.385552i | ||||
\(585\) | 0.574186 | + | 3.55815i | 0.0237397 | + | 0.147112i | ||||
\(586\) | −3.56323 | − | 0.757388i | −0.147196 | − | 0.0312874i | ||||
\(587\) | −3.05484 | − | 3.39275i | −0.126087 | − | 0.140034i | 0.676796 | − | 0.736171i | \(-0.263368\pi\) |
−0.802882 | + | 0.596137i | \(0.796701\pi\) | |||||||
\(588\) | −0.987657 | + | 1.71067i | −0.0407303 | + | 0.0705470i | ||||
\(589\) | 7.27119 | − | 8.81927i | 0.299604 | − | 0.363392i | ||||
\(590\) | 2.84564 | 0.117153 | ||||||||
\(591\) | −43.8091 | + | 9.31191i | −1.80207 | + | 0.383041i | ||||
\(592\) | −0.953839 | − | 2.93562i | −0.0392026 | − | 0.120653i | ||||
\(593\) | 1.25869 | + | 0.914488i | 0.0516880 | + | 0.0375535i | 0.613329 | − | 0.789827i | \(-0.289830\pi\) |
−0.561641 | + | 0.827381i | \(0.689830\pi\) | |||||||
\(594\) | −2.39169 | + | 4.14252i | −0.0981320 | + | 0.169970i | ||||
\(595\) | 3.98797 | + | 6.90736i | 0.163491 | + | 0.283174i | ||||
\(596\) | 2.37928 | − | 22.6374i | 0.0974592 | − | 0.927263i | ||||
\(597\) | 19.9429 | − | 14.4893i | 0.816208 | − | 0.593010i | ||||
\(598\) | 2.29271 | + | 5.92111i | 0.0937560 | + | 0.242132i | ||||
\(599\) | −21.9776 | + | 4.67149i | −0.897982 | + | 0.190872i | −0.633705 | − | 0.773575i | \(-0.718467\pi\) |
−0.264277 | + | 0.964447i | \(0.585133\pi\) | |||||||
\(600\) | 7.32685 | + | 5.32327i | 0.299117 | + | 0.217322i | ||||
\(601\) | 0.842850 | − | 0.179153i | 0.0343806 | − | 0.00730781i | −0.190689 | − | 0.981650i | \(-0.561072\pi\) |
0.225070 | + | 0.974343i | \(0.427739\pi\) | |||||||
\(602\) | 5.72451 | + | 1.21678i | 0.233314 | + | 0.0495923i | ||||
\(603\) | −1.34960 | − | 12.8406i | −0.0549601 | − | 0.522911i | ||||
\(604\) | −25.9802 | + | 28.8539i | −1.05712 | + | 1.17405i | ||||
\(605\) | −9.09785 | + | 10.1042i | −0.369880 | + | 0.410794i | ||||
\(606\) | −0.311710 | − | 2.96572i | −0.0126623 | − | 0.120474i | ||||
\(607\) | 27.5720 | + | 5.86060i | 1.11911 | + | 0.237874i | 0.730088 | − | 0.683353i | \(-0.239479\pi\) |
0.389023 | + | 0.921228i | \(0.372813\pi\) | |||||||
\(608\) | −5.83126 | + | 1.23947i | −0.236489 | + | 0.0502672i | ||||
\(609\) | −26.9485 | − | 19.5792i | −1.09201 | − | 0.793391i | ||||
\(610\) | 0.881135 | − | 0.187291i | 0.0356761 | − | 0.00758319i | ||||
\(611\) | −22.1643 | − | 3.44432i | −0.896670 | − | 0.139342i | ||||
\(612\) | 7.57465 | − | 5.50330i | 0.306187 | − | 0.222458i | ||||
\(613\) | −2.07069 | + | 19.7013i | −0.0836346 | + | 0.795730i | 0.869653 | + | 0.493664i | \(0.164343\pi\) |
−0.953287 | + | 0.302066i | \(0.902324\pi\) | |||||||
\(614\) | −2.43527 | − | 4.21800i | −0.0982793 | − | 0.170225i | ||||
\(615\) | 5.84521 | − | 10.1242i | 0.235702 | − | 0.408247i | ||||
\(616\) | 11.7612 | + | 8.54505i | 0.473874 | + | 0.344290i | ||||
\(617\) | −10.7275 | − | 33.0157i | −0.431871 | − | 1.32916i | −0.896259 | − | 0.443531i | \(-0.853726\pi\) |
0.464388 | − | 0.885632i | \(-0.346274\pi\) | |||||||
\(618\) | −5.99684 | + | 1.27467i | −0.241228 | + | 0.0512747i | ||||
\(619\) | 41.2443 | 1.65775 | 0.828874 | − | 0.559435i | \(-0.188982\pi\) | ||||
0.828874 | + | 0.559435i | \(0.188982\pi\) | |||||||
\(620\) | 8.35850 | − | 0.364297i | 0.335685 | − | 0.0146305i | ||||
\(621\) | −12.3547 | + | 21.3989i | −0.495776 | + | 0.858709i | ||||
\(622\) | −3.44500 | − | 3.82607i | −0.138132 | − | 0.153411i | ||||
\(623\) | 25.1133 | + | 5.33799i | 1.00614 | + | 0.213862i | ||||
\(624\) | 4.30705 | + | 26.6902i | 0.172420 | + | 1.06846i | ||||
\(625\) | −8.16392 | − | 14.1403i | −0.326557 | − | 0.565613i | ||||
\(626\) | 1.52393 | + | 2.63952i | 0.0609083 | + | 0.105496i | ||||
\(627\) | 2.37303 | − | 22.5779i | 0.0947697 | − | 0.901673i | ||||
\(628\) | −41.0645 | − | 18.2831i | −1.63865 | − | 0.729575i | ||||
\(629\) | −2.92370 | − | 1.30172i | −0.116576 | − | 0.0519029i | ||||
\(630\) | −0.462596 | − | 0.513764i | −0.0184302 | − | 0.0204689i | ||||
\(631\) | −27.6515 | + | 12.3113i | −1.10079 | + | 0.490104i | −0.875025 | − | 0.484078i | \(-0.839155\pi\) |
−0.225766 | + | 0.974182i | \(0.572488\pi\) | |||||||
\(632\) | −0.345412 | − | 0.383619i | −0.0137398 | − | 0.0152596i | ||||
\(633\) | −29.6825 | − | 6.30922i | −1.17977 | − | 0.250769i | ||||
\(634\) | −5.48673 | − | 2.44285i | −0.217906 | − | 0.0970180i | ||||
\(635\) | 3.33861 | + | 0.709644i | 0.132489 | + | 0.0281614i | ||||
\(636\) | −2.44852 | − | 7.53578i | −0.0970903 | − | 0.298813i | ||||
\(637\) | −1.75532 | − | 0.272777i | −0.0695484 | − | 0.0108078i | ||||
\(638\) | −5.30574 | + | 5.89262i | −0.210056 | + | 0.233291i | ||||
\(639\) | 6.57732 | − | 1.39805i | 0.260195 | − | 0.0553061i | ||||
\(640\) | −4.67910 | − | 3.39957i | −0.184958 | − | 0.134380i | ||||
\(641\) | −16.0901 | − | 17.8698i | −0.635519 | − | 0.705815i | 0.336244 | − | 0.941775i | \(-0.390843\pi\) |
−0.971763 | + | 0.235960i | \(0.924177\pi\) | |||||||
\(642\) | 3.25615 | + | 1.44973i | 0.128510 | + | 0.0572164i | ||||
\(643\) | 10.6386 | + | 4.73659i | 0.419544 | + | 0.186793i | 0.605640 | − | 0.795739i | \(-0.292917\pi\) |
−0.186097 | + | 0.982531i | \(0.559584\pi\) | |||||||
\(644\) | 29.8847 | + | 21.7125i | 1.17762 | + | 0.855593i | ||||
\(645\) | 6.79977 | − | 11.7775i | 0.267741 | − | 0.463740i | ||||
\(646\) | −0.973700 | + | 1.68650i | −0.0383097 | + | 0.0663544i | ||||
\(647\) | 15.4080 | − | 6.86007i | 0.605750 | − | 0.269697i | −0.0808575 | − | 0.996726i | \(-0.525766\pi\) |
0.686607 | + | 0.727028i | \(0.259099\pi\) | |||||||
\(648\) | 7.45649 | − | 8.28127i | 0.292919 | − | 0.325319i | ||||
\(649\) | −23.9483 | + | 73.7053i | −0.940054 | + | 2.89319i | ||||
\(650\) | −1.02560 | + | 3.87268i | −0.0402273 | + | 0.151899i | ||||
\(651\) | 31.1261 | + | 5.21118i | 1.21993 | + | 0.204242i | ||||
\(652\) | −13.5458 | + | 23.4621i | −0.530496 | + | 0.918846i | ||||
\(653\) | −3.04658 | − | 3.38357i | −0.119222 | − | 0.132409i | 0.680579 | − | 0.732675i | \(-0.261728\pi\) |
−0.799801 | + | 0.600265i | \(0.795062\pi\) | |||||||
\(654\) | 2.18980 | + | 6.73950i | 0.0856278 | + | 0.263535i | ||||
\(655\) | −4.86109 | − | 3.53179i | −0.189939 | − | 0.137998i | ||||
\(656\) | 13.1701 | − | 22.8113i | 0.514207 | − | 0.890632i | ||||
\(657\) | 13.9337 | 0.543606 | ||||||||
\(658\) | 3.93051 | − | 1.74997i | 0.153227 | − | 0.0682211i | ||||
\(659\) | −9.40590 | − | 4.18778i | −0.366402 | − | 0.163133i | 0.215273 | − | 0.976554i | \(-0.430936\pi\) |
−0.581675 | + | 0.813421i | \(0.697602\pi\) | |||||||
\(660\) | 13.4435 | − | 9.76727i | 0.523287 | − | 0.380191i | ||||
\(661\) | −8.71698 | + | 26.8281i | −0.339051 | + | 1.04349i | 0.625641 | + | 0.780111i | \(0.284838\pi\) |
−0.964692 | + | 0.263381i | \(0.915162\pi\) | |||||||
\(662\) | 0.383956 | − | 3.65310i | 0.0149229 | − | 0.141982i | ||||
\(663\) | 23.5535 | + | 15.1984i | 0.914741 | + | 0.590259i | ||||
\(664\) | −0.860532 | + | 0.955718i | −0.0333951 | + | 0.0370890i | ||||
\(665\) | −3.98419 | − | 1.77388i | −0.154500 | − | 0.0687879i | ||||
\(666\) | 0.271342 | + | 0.0576755i | 0.0105143 | + | 0.00223488i | ||||
\(667\) | −27.4077 | + | 30.4393i | −1.06123 | + | 1.17862i | ||||
\(668\) | 2.14120 | + | 20.3722i | 0.0828456 | + | 0.788223i | ||||
\(669\) | −9.03859 | − | 1.92121i | −0.349452 | − | 0.0742783i | ||||
\(670\) | −0.607422 | + | 1.86945i | −0.0234668 | + | 0.0722233i | ||||
\(671\) | −2.56440 | + | 24.3986i | −0.0989976 | + | 0.941899i | ||||
\(672\) | −11.0139 | − | 12.2322i | −0.424871 | − | 0.471867i | ||||
\(673\) | 24.0450 | − | 17.4697i | 0.926868 | − | 0.673409i | −0.0183563 | − | 0.999832i | \(-0.505843\pi\) |
0.945224 | + | 0.326423i | \(0.105843\pi\) | |||||||
\(674\) | −0.498693 | − | 4.74475i | −0.0192089 | − | 0.182761i | ||||
\(675\) | −14.2424 | + | 6.34112i | −0.548190 | + | 0.244070i | ||||
\(676\) | −21.7243 | + | 12.7118i | −0.835549 | + | 0.488917i | ||||
\(677\) | −14.4433 | − | 25.0165i | −0.555100 | − | 0.961461i | −0.997896 | − | 0.0648387i | \(-0.979347\pi\) |
0.442796 | − | 0.896622i | \(-0.353987\pi\) | |||||||
\(678\) | −4.89188 | + | 2.17800i | −0.187871 | + | 0.0836458i | ||||
\(679\) | 23.1326 | − | 25.6914i | 0.887748 | − | 0.985944i | ||||
\(680\) | −2.83450 | + | 0.602492i | −0.108698 | + | 0.0231045i | ||||
\(681\) | 27.4420 | 1.05158 | ||||||||
\(682\) | 2.00819 | − | 7.23912i | 0.0768974 | − | 0.277200i | ||||
\(683\) | −0.620188 | − | 1.07420i | −0.0237308 | − | 0.0411030i | 0.853916 | − | 0.520411i | \(-0.174221\pi\) |
−0.877647 | + | 0.479308i | \(0.840888\pi\) | |||||||
\(684\) | −1.58203 | + | 4.86899i | −0.0604905 | + | 0.186171i | ||||
\(685\) | 0.0142299 | + | 0.0437951i | 0.000543696 | + | 0.00167332i | ||||
\(686\) | −4.11138 | + | 1.83050i | −0.156973 | + | 0.0698889i | ||||
\(687\) | −24.0972 | −0.919366 | ||||||||
\(688\) | 15.3209 | − | 26.5365i | 0.584103 | − | 1.01170i | ||||
\(689\) | 5.52458 | − | 4.50043i | 0.210470 | − | 0.171453i | ||||
\(690\) | −2.28966 | + | 1.66353i | −0.0871658 | + | 0.0633297i | ||||
\(691\) | −42.2612 | + | 30.7046i | −1.60769 | + | 1.16806i | −0.737494 | + | 0.675354i | \(0.763991\pi\) |
−0.870198 | + | 0.492703i | \(0.836009\pi\) | |||||||
\(692\) | −11.9998 | + | 36.9317i | −0.456166 | + | 1.40393i | ||||
\(693\) | 17.2002 | − | 7.65803i | 0.653382 | − | 0.290904i | ||||
\(694\) | 1.77072 | + | 1.96658i | 0.0672156 | + | 0.0746505i | ||||
\(695\) | 13.6127 | + | 2.89347i | 0.516360 | + | 0.109756i | ||||
\(696\) | 9.79097 | − | 7.11355i | 0.371126 | − | 0.269639i | ||||
\(697\) | −8.43942 | − | 25.9739i | −0.319666 | − | 0.983830i | ||||
\(698\) | 0.765130 | − | 0.849763i | 0.0289606 | − | 0.0321640i | ||||
\(699\) | 50.4015 | + | 22.4402i | 1.90636 | + | 0.848765i | ||||
\(700\) | 7.20220 | + | 22.1661i | 0.272218 | + | 0.837800i | ||||
\(701\) | 28.1986 | + | 31.3177i | 1.06505 | + | 1.18285i | 0.982499 | + | 0.186268i | \(0.0596392\pi\) |
0.0825482 | + | 0.996587i | \(0.473694\pi\) | |||||||
\(702\) | 3.01838 | + | 1.14857i | 0.113921 | + | 0.0433500i | ||||
\(703\) | 1.71173 | − | 0.363840i | 0.0645592 | − | 0.0137225i | ||||
\(704\) | 28.1190 | − | 20.4296i | 1.05977 | − | 0.769971i | ||||
\(705\) | −1.04506 | − | 9.94313i | −0.0393594 | − | 0.374480i | ||||
\(706\) | −0.0249131 | − | 0.0181004i | −0.000937616 | − | 0.000681218i | ||||
\(707\) | 7.80082 | − | 13.5114i | 0.293380 | − | 0.508149i | ||||
\(708\) | 29.0914 | − | 50.3878i | 1.09332 | − | 1.89369i | ||||
\(709\) | −1.94514 | + | 18.5068i | −0.0730512 | + | 0.695036i | 0.895303 | + | 0.445457i | \(0.146959\pi\) |
−0.968354 | + | 0.249579i | \(0.919708\pi\) | |||||||
\(710\) | −1.00135 | − | 0.212843i | −0.0375800 | − | 0.00798787i | ||||
\(711\) | −0.653942 | + | 0.139000i | −0.0245248 | + | 0.00521290i | ||||
\(712\) | −4.66401 | + | 8.07831i | −0.174791 | + | 0.302747i | ||||
\(713\) | 10.3736 | − | 37.3950i | 0.388496 | − | 1.40045i | ||||
\(714\) | −5.37685 | −0.201224 | ||||||||
\(715\) | 12.5565 | + | 8.10236i | 0.469585 | + | 0.303011i | ||||
\(716\) | −7.44669 | − | 1.58284i | −0.278296 | − | 0.0591536i | ||||
\(717\) | −28.9273 | + | 12.8793i | −1.08031 | + | 0.480985i | ||||
\(718\) | 1.02487 | 0.0382477 | ||||||||
\(719\) | −7.43734 | −0.277366 | −0.138683 | − | 0.990337i | \(-0.544287\pi\) | ||||
−0.138683 | + | 0.990337i | \(0.544287\pi\) | |||||||
\(720\) | −3.30674 | + | 1.47226i | −0.123235 | + | 0.0548678i | ||||
\(721\) | −29.3024 | − | 13.0463i | −1.09128 | − | 0.485868i | ||||
\(722\) | 0.390487 | + | 3.71524i | 0.0145324 | + | 0.138267i | ||||
\(723\) | −27.0555 | + | 5.75082i | −1.00620 | + | 0.213875i | ||||
\(724\) | −33.9283 | + | 15.1058i | −1.26093 | + | 0.561404i | ||||
\(725\) | −25.2789 | + | 5.37319i | −0.938834 | + | 0.199555i | ||||
\(726\) | −2.83241 | − | 8.71727i | −0.105121 | − | 0.323528i | ||||
\(727\) | −0.0804595 | − | 0.765521i | −0.00298408 | − | 0.0283916i | 0.992929 | − | 0.118714i | \(-0.0378770\pi\) |
−0.995913 | + | 0.0903220i | \(0.971210\pi\) | |||||||
\(728\) | 4.43052 | − | 8.75837i | 0.164206 | − | 0.324607i | ||||
\(729\) | 2.34573 | + | 7.21943i | 0.0868790 | + | 0.267386i | ||||
\(730\) | −1.93791 | − | 0.862814i | −0.0717253 | − | 0.0319342i | ||||
\(731\) | −9.81762 | − | 30.2155i | −0.363118 | − | 1.11756i | ||||
\(732\) | 5.69162 | − | 17.5170i | 0.210368 | − | 0.647447i | ||||
\(733\) | 0.375739 | − | 3.57492i | 0.0138782 | − | 0.132043i | −0.985389 | − | 0.170319i | \(-0.945520\pi\) |
0.999267 | + | 0.0382766i | \(0.0121868\pi\) | |||||||
\(734\) | 3.16941 | + | 3.51998i | 0.116985 | + | 0.129925i | ||||
\(735\) | −0.0827650 | − | 0.787456i | −0.00305283 | − | 0.0290458i | ||||
\(736\) | −16.3747 | + | 11.8969i | −0.603579 | + | 0.438526i | ||||
\(737\) | −43.3091 | − | 31.4659i | −1.59531 | − | 1.15906i | ||||
\(738\) | 1.18361 | + | 2.05008i | 0.0435693 | + | 0.0754643i | ||||
\(739\) | 9.70672 | 0.357067 | 0.178534 | − | 0.983934i | \(-0.442865\pi\) | ||||
0.178534 | + | 0.983934i | \(0.442865\pi\) | |||||||
\(740\) | 1.03628 | + | 0.752898i | 0.0380942 | + | 0.0276771i | ||||
\(741\) | −15.3041 | + | 0.846766i | −0.562212 | + | 0.0311067i | ||||
\(742\) | −0.422367 | + | 1.29991i | −0.0155056 | + | 0.0477213i | ||||
\(743\) | −8.37120 | + | 14.4993i | −0.307110 | + | 0.531929i | −0.977729 | − | 0.209872i | \(-0.932695\pi\) |
0.670619 | + | 0.741802i | \(0.266028\pi\) | |||||||
\(744\) | −5.29527 | + | 10.1702i | −0.194134 | + | 0.372858i | ||||
\(745\) | 4.56202 | + | 7.90165i | 0.167140 | + | 0.289494i | ||||
\(746\) | −1.73180 | + | 5.32992i | −0.0634056 | + | 0.195142i | ||||
\(747\) | 0.514691 | + | 1.58406i | 0.0188316 | + | 0.0579576i | ||||
\(748\) | 4.05779 | − | 38.6073i | 0.148367 | − | 1.41162i | ||||
\(749\) | 9.32394 | + | 16.1495i | 0.340689 | + | 0.590091i | ||||
\(750\) | −3.81594 | −0.139339 | ||||||||
\(751\) | 0.590471 | − | 5.61796i | 0.0215466 | − | 0.205002i | −0.978452 | − | 0.206473i | \(-0.933801\pi\) |
0.999999 | + | 0.00147067i | \(0.000468130\pi\) | |||||||
\(752\) | −2.35468 | − | 22.4033i | −0.0858665 | − | 0.816965i | ||||
\(753\) | 22.1865 | + | 9.87805i | 0.808519 | + | 0.359976i | ||||
\(754\) | 4.49831 | + | 2.90264i | 0.163819 | + | 0.105708i | ||||
\(755\) | 1.62683 | − | 15.4783i | 0.0592064 | − | 0.563311i | ||||
\(756\) | 18.3779 | − | 3.90634i | 0.668396 | − | 0.142072i | ||||
\(757\) | 4.38171 | + | 13.4855i | 0.159256 | + | 0.490140i | 0.998567 | − | 0.0535116i | \(-0.0170414\pi\) |
−0.839311 | + | 0.543651i | \(0.817041\pi\) | |||||||
\(758\) | 4.24199 | − | 3.08199i | 0.154076 | − | 0.111943i | ||||
\(759\) | −23.8182 | − | 73.3048i | −0.864545 | − | 2.66080i | ||||
\(760\) | 1.06026 | − | 1.17754i | 0.0384596 | − | 0.0427137i | ||||
\(761\) | 25.2106 | − | 18.3165i | 0.913882 | − | 0.663974i | −0.0281116 | − | 0.999605i | \(-0.508949\pi\) |
0.941994 | + | 0.335631i | \(0.108949\pi\) | |||||||
\(762\) | −1.53964 | + | 1.70994i | −0.0557752 | + | 0.0619447i | ||||
\(763\) | −11.4567 | + | 35.2600i | −0.414759 | + | 1.27650i | ||||
\(764\) | 22.4218 | + | 16.2904i | 0.811191 | + | 0.589365i | ||||
\(765\) | −1.15975 | + | 3.56933i | −0.0419307 | + | 0.129049i | ||||
\(766\) | −4.42176 | − | 1.96870i | −0.159765 | − | 0.0711319i | ||||
\(767\) | 51.7029 | + | 8.03463i | 1.86689 | + | 0.290114i | ||||
\(768\) | −21.0623 | + | 9.37754i | −0.760020 | + | 0.338383i | ||||
\(769\) | 19.3067 | + | 33.4401i | 0.696216 | + | 1.20588i | 0.969769 | + | 0.244024i | \(0.0784676\pi\) |
−0.273553 | + | 0.961857i | \(0.588199\pi\) | |||||||
\(770\) | −2.86642 | −0.103299 | ||||||||
\(771\) | −5.41272 | + | 51.4986i | −0.194934 | + | 1.85468i | ||||
\(772\) | −11.7327 | − | 2.49385i | −0.422268 | − | 0.0897558i | ||||
\(773\) | 32.9517 | − | 7.00409i | 1.18519 | − | 0.251920i | 0.427182 | − | 0.904166i | \(-0.359506\pi\) |
0.758007 | + | 0.652246i | \(0.226173\pi\) | |||||||
\(774\) | 1.37690 | + | 2.38486i | 0.0494917 | + | 0.0857222i | ||||
\(775\) | 19.1635 | − | 15.2409i | 0.688372 | − | 0.547470i | ||||
\(776\) | 6.28022 | + | 10.8777i | 0.225447 | + | 0.390485i | ||||
\(777\) | 3.23307 | + | 3.59069i | 0.115986 | + | 0.128815i | ||||
\(778\) | −2.76565 | + | 3.07157i | −0.0991533 | + | 0.110121i | ||||
\(779\) | 12.0814 | + | 8.77763i | 0.432860 | + | 0.314491i | ||||
\(780\) | −7.95619 | − | 7.90998i | −0.284877 | − | 0.283223i | ||||
\(781\) | 13.9400 | − | 24.1449i | 0.498814 | − | 0.863971i | ||||
\(782\) | −0.691110 | + | 6.57548i | −0.0247141 | + | 0.235139i | ||||
\(783\) | 2.17769 | + | 20.7193i | 0.0778242 | + | 0.740448i | ||||
\(784\) | −0.186482 | − | 1.77425i | −0.00666006 | − | 0.0633662i | ||||
\(785\) | 17.6245 | − | 3.74620i | 0.629045 | − | 0.133708i | ||||
\(786\) | 3.70043 | − | 1.64754i | 0.131990 | − | 0.0587658i | ||||
\(787\) | 4.90895 | − | 15.1082i | 0.174985 | − | 0.538549i | −0.824648 | − | 0.565647i | \(-0.808627\pi\) |
0.999633 | + | 0.0270978i | \(0.00862655\pi\) | |||||||
\(788\) | 28.0211 | − | 31.1206i | 0.998210 | − | 1.10862i | ||||
\(789\) | 5.59857 | − | 4.06760i | 0.199314 | − | 0.144810i | ||||
\(790\) | 0.0995580 | + | 0.0211617i | 0.00354211 | + | 0.000752900i | ||||
\(791\) | −27.4034 | − | 5.82477i | −0.974353 | − | 0.207105i | ||||
\(792\) | 0.715038 | + | 6.80313i | 0.0254078 | + | 0.241739i | ||||
\(793\) | 16.5383 | − | 0.915053i | 0.587294 | − | 0.0324945i | ||||
\(794\) | −1.67104 | − | 1.85587i | −0.0593029 | − | 0.0658625i | ||||
\(795\) | 2.56954 | + | 1.86688i | 0.0911322 | + | 0.0662114i | ||||
\(796\) | −7.12241 | + | 21.9205i | −0.252447 | + | 0.776952i | ||||
\(797\) | −0.800444 | − | 7.61572i | −0.0283532 | − | 0.269763i | −0.999509 | − | 0.0313186i | \(-0.990029\pi\) |
0.971156 | − | 0.238444i | \(-0.0766373\pi\) | |||||||
\(798\) | 2.37856 | − | 1.72812i | 0.0842001 | − | 0.0611749i | ||||
\(799\) | −18.8958 | − | 13.7286i | −0.668487 | − | 0.485684i | ||||
\(800\) | −12.7705 | −0.451504 | ||||||||
\(801\) | 6.04043 | + | 10.4623i | 0.213428 | + | 0.369668i | ||||
\(802\) | 0.0856436 | − | 0.814844i | 0.00302418 | − | 0.0287732i | ||||
\(803\) | 38.6570 | − | 42.9329i | 1.36418 | − | 1.51507i | ||||
\(804\) | 26.8927 | + | 29.8674i | 0.948433 | + | 1.05334i | ||||
\(805\) | −14.8070 | −0.521879 | ||||||||
\(806\) | −5.04112 | − | 0.559885i | −0.177566 | − | 0.0197211i | ||||
\(807\) | 48.5247 | 1.70815 | ||||||||
\(808\) | 3.79291 | + | 4.21245i | 0.133434 | + | 0.148193i | ||||
\(809\) | 0.483575 | − | 0.537065i | 0.0170016 | − | 0.0188822i | −0.734584 | − | 0.678518i | \(-0.762623\pi\) |
0.751586 | + | 0.659636i | \(0.229289\pi\) | |||||||
\(810\) | −0.229669 | + | 2.18516i | −0.00806976 | + | 0.0767786i | ||||
\(811\) | −9.11257 | − | 15.7834i | −0.319986 | − | 0.554232i | 0.660499 | − | 0.750827i | \(-0.270345\pi\) |
−0.980485 | + | 0.196595i | \(0.937011\pi\) | |||||||
\(812\) | 31.1452 | 1.09298 | ||||||||
\(813\) | 12.2534 | + | 8.90262i | 0.429746 | + | 0.312228i | ||||
\(814\) | 0.930507 | − | 0.676053i | 0.0326142 | − | 0.0236956i | ||||
\(815\) | −1.13513 | − | 10.8001i | −0.0397619 | − | 0.378309i | ||||
\(816\) | −8.69942 | + | 26.7741i | −0.304540 | + | 0.937279i | ||||
\(817\) | 14.0543 | + | 10.2111i | 0.491698 | + | 0.357240i | ||||
\(818\) | 3.98165 | + | 4.42207i | 0.139215 | + | 0.154614i | ||||
\(819\) | −6.95438 | − | 10.6408i | −0.243006 | − | 0.371820i | ||||
\(820\) | 1.14256 | + | 10.8707i | 0.0398999 | + | 0.379623i | ||||
\(821\) | 41.2629 | + | 8.77069i | 1.44008 | + | 0.306099i | 0.860765 | − | 0.509002i | \(-0.169985\pi\) |
0.579318 | + | 0.815101i | \(0.303319\pi\) | |||||||
\(822\) | −0.0303648 | − | 0.00645423i | −0.00105909 | − | 0.000225117i | ||||
\(823\) | −15.0319 | + | 10.9213i | −0.523978 | + | 0.380692i | −0.818100 | − | 0.575075i | \(-0.804973\pi\) |
0.294122 | + | 0.955768i | \(0.404973\pi\) | |||||||
\(824\) | 7.79784 | − | 8.66038i | 0.271651 | − | 0.301699i | ||||
\(825\) | 15.0280 | − | 46.2513i | 0.523206 | − | 1.61026i | ||||
\(826\) | −9.16876 | + | 4.08219i | −0.319022 | + | 0.142038i | ||||
\(827\) | −6.90036 | + | 1.46672i | −0.239949 | + | 0.0510027i | −0.326316 | − | 0.945261i | \(-0.605807\pi\) |
0.0863673 | + | 0.996263i | \(0.472474\pi\) | |||||||
\(828\) | 1.81688 | + | 17.2864i | 0.0631408 | + | 0.600744i | ||||
\(829\) | −1.21550 | − | 11.5647i | −0.0422160 | − | 0.401658i | −0.995142 | − | 0.0984541i | \(-0.968610\pi\) |
0.952926 | − | 0.303204i | \(-0.0980564\pi\) | |||||||
\(830\) | 0.0265055 | − | 0.252183i | 0.000920018 | − | 0.00875339i | ||||
\(831\) | −28.3468 | + | 49.0981i | −0.983341 | + | 1.70320i | ||||
\(832\) | −16.6415 | − | 16.5448i | −0.576940 | − | 0.573589i | ||||
\(833\) | −1.49648 | − | 1.08725i | −0.0518498 | − | 0.0376711i | ||||
\(834\) | −6.27766 | + | 6.97205i | −0.217378 | + | 0.241422i | ||||
\(835\) | −5.49427 | − | 6.10200i | −0.190137 | − | 0.211168i | ||||
\(836\) | 10.6134 | + | 18.3829i | 0.367071 | + | 0.635785i | ||||
\(837\) | −10.6041 | − | 16.6480i | −0.366532 | − | 0.575438i | ||||
\(838\) | −1.76962 | − | 3.06507i | −0.0611304 | − | 0.105881i | ||||
\(839\) | 30.6556 | − | 6.51604i | 1.05835 | − | 0.224959i | 0.354315 | − | 0.935126i | \(-0.384714\pi\) |
0.704033 | + | 0.710168i | \(0.251381\pi\) | |||||||
\(840\) | 4.27935 | + | 0.909604i | 0.147652 | + | 0.0313843i | ||||
\(841\) | −0.578581 | + | 5.50483i | −0.0199511 | + | 0.189822i | ||||
\(842\) | 3.43467 | 0.118367 | ||||||||
\(843\) | 6.48707 | + | 11.2359i | 0.223426 | + | 0.386986i | ||||
\(844\) | 25.9204 | − | 11.5405i | 0.892215 | − | 0.397240i | ||||
\(845\) | 4.04992 | − | 9.24079i | 0.139322 | − | 0.317893i | ||||
\(846\) | 1.84947 | + | 0.823438i | 0.0635861 | + | 0.0283104i | ||||
\(847\) | 14.8187 | − | 45.6074i | 0.509178 | − | 1.56709i | ||||
\(848\) | 5.78955 | + | 4.20636i | 0.198814 | + | 0.144447i | ||||
\(849\) | 6.01761 | − | 18.5203i | 0.206524 | − | 0.635615i | ||||
\(850\) | −2.79136 | + | 3.10011i | −0.0957427 | + | 0.106333i | ||||
\(851\) | 4.80670 | − | 3.49227i | 0.164771 | − | 0.119713i | ||||
\(852\) | −14.0058 | + | 15.5550i | −0.479830 | + | 0.532905i | ||||
\(853\) | 4.40071 | + | 13.5440i | 0.150677 | + | 0.463737i | 0.997697 | − | 0.0678238i | \(-0.0216056\pi\) |
−0.847020 | + | 0.531561i | \(0.821606\pi\) | |||||||
\(854\) | −2.57038 | + | 1.86749i | −0.0879565 | + | 0.0639041i | ||||
\(855\) | −0.634149 | − | 1.95171i | −0.0216874 | − | 0.0667470i | ||||
\(856\) | −6.62712 | + | 1.40864i | −0.226510 | + | 0.0481462i | ||||
\(857\) | −2.41889 | + | 23.0142i | −0.0826277 | + | 0.786150i | 0.872232 | + | 0.489092i | \(0.162672\pi\) |
−0.954860 | + | 0.297057i | \(0.903995\pi\) | |||||||
\(858\) | −8.96267 | + | 4.59964i | −0.305980 | + | 0.157029i | ||||
\(859\) | 2.92625 | + | 1.30285i | 0.0998423 | + | 0.0444526i | 0.456050 | − | 0.889954i | \(-0.349264\pi\) |
−0.356208 | + | 0.934407i | \(0.615930\pi\) | |||||||
\(860\) | 1.32915 | + | 12.6460i | 0.0453235 | + | 0.431225i | ||||
\(861\) | −4.30989 | + | 41.0058i | −0.146881 | + | 1.39747i | ||||
\(862\) | 1.75616 | 0.0598152 | ||||||||
\(863\) | 23.9624 | + | 41.5041i | 0.815689 | + | 1.41281i | 0.908832 | + | 0.417162i | \(0.136975\pi\) |
−0.0931432 | + | 0.995653i | \(0.529691\pi\) | |||||||
\(864\) | −1.07609 | + | 10.2383i | −0.0366094 | + | 0.348315i | ||||
\(865\) | −4.81007 | − | 14.8039i | −0.163547 | − | 0.503347i | ||||
\(866\) | 0.569427 | − | 1.75251i | 0.0193499 | − | 0.0595529i | ||||
\(867\) | −3.00691 | − | 5.20812i | −0.102120 | − | 0.176877i | ||||
\(868\) | −26.4088 | + | 13.1644i | −0.896374 | + | 0.446830i | ||||
\(869\) | −1.38597 | + | 2.40058i | −0.0470159 | + | 0.0814340i | ||||
\(870\) | −0.737386 | + | 2.26944i | −0.0249997 | + | 0.0769413i | ||||
\(871\) | −16.3148 | + | 32.2514i | −0.552805 | + | 1.09280i | ||||
\(872\) | −10.8974 | − | 7.91745i | −0.369034 | − | 0.268119i | ||||
\(873\) | 16.2672 | 0.550561 | ||||||||
\(874\) | −1.80764 | − | 3.13092i | −0.0611442 | − | 0.105905i | ||||
\(875\) | −16.1515 | − | 11.7348i | −0.546022 | − | 0.396708i | ||||
\(876\) | −35.0895 | + | 25.4940i | −1.18556 | + | 0.861362i | ||||
\(877\) | −1.09232 | − | 10.3928i | −0.0368851 | − | 0.350938i | −0.997363 | − | 0.0725806i | \(-0.976877\pi\) |
0.960477 | − | 0.278358i | \(-0.0897901\pi\) | |||||||
\(878\) | −5.02697 | − | 5.58301i | −0.169652 | − | 0.188418i | ||||
\(879\) | 3.12080 | − | 29.6924i | 0.105262 | − | 1.00150i | ||||
\(880\) | −4.63770 | + | 14.2734i | −0.156337 | + | 0.481155i | ||||
\(881\) | 5.87821 | + | 18.0913i | 0.198042 | + | 0.609510i | 0.999928 | + | 0.0120328i | \(0.00383026\pi\) |
−0.801886 | + | 0.597477i | \(0.796170\pi\) | |||||||
\(882\) | 0.146471 | + | 0.0652130i | 0.00493193 | + | 0.00219584i | ||||
\(883\) | −10.6069 | − | 32.6447i | −0.356951 | − | 1.09858i | −0.954869 | − | 0.297026i | \(-0.904005\pi\) |
0.597918 | − | 0.801557i | \(-0.295995\pi\) | |||||||
\(884\) | −26.1695 | + | 1.44794i | −0.880175 | + | 0.0486993i | ||||
\(885\) | 2.43784 | + | 23.1945i | 0.0819471 | + | 0.779674i | ||||
\(886\) | −1.77228 | − | 5.45452i | −0.0595410 | − | 0.183248i | ||||
\(887\) | −44.0299 | + | 9.35884i | −1.47838 | + | 0.314239i | −0.875354 | − | 0.483483i | \(-0.839372\pi\) |
−0.603025 | + | 0.797722i | \(0.706038\pi\) | |||||||
\(888\) | −1.60371 | + | 0.714017i | −0.0538169 | + | 0.0239608i | ||||
\(889\) | −11.7752 | + | 2.50289i | −0.394926 | + | 0.0839441i | ||||
\(890\) | −0.192251 | − | 1.82915i | −0.00644427 | − | 0.0613132i | ||||
\(891\) | −54.6653 | − | 24.3386i | −1.83136 | − | 0.815372i | ||||
\(892\) | 7.89297 | − | 3.51418i | 0.264276 | − | 0.117663i | ||||
\(893\) | 12.7713 | 0.427377 | ||||||||
\(894\) | −6.15083 | −0.205715 | ||||||||
\(895\) | 2.78782 | − | 1.24122i | 0.0931866 | − | 0.0414893i | ||||
\(896\) | 19.9531 | + | 4.24116i | 0.666586 | + | 0.141687i | ||||
\(897\) | −46.2982 | + | 23.7603i | −1.54585 | + | 0.793332i | ||||
\(898\) | 2.14559 | 0.0715993 | ||||||||
\(899\) | −11.4564 | − | 30.6487i | −0.382092 | − | 1.02219i | ||||
\(900\) | −5.48343 | + | 9.49757i | −0.182781 | + | 0.316586i | ||||
\(901\) | 7.25775 | − | 1.54268i | 0.241791 | − | 0.0513942i | ||||
\(902\) | 9.60049 | + | 2.04065i | 0.319661 | + | 0.0679461i | ||||
\(903\) | −5.01371 | + | 47.7023i | −0.166846 | + | 1.58743i | ||||
\(904\) | 5.08933 | − | 8.81499i | 0.169269 | − | 0.293182i | ||||
\(905\) | 7.44351 | − | 12.8925i | 0.247431 | − | 0.428562i | ||||
\(906\) | 8.48812 | + | 6.16698i | 0.281999 | + | 0.204884i | ||||
\(907\) | −0.173792 | − | 1.65352i | −0.00577067 | − | 0.0549042i | 0.991258 | − | 0.131941i | \(-0.0421209\pi\) |
−0.997028 | + | 0.0770365i | \(0.975454\pi\) | |||||||
\(908\) | −20.7581 | + | 15.0817i | −0.688882 | + | 0.500502i | ||||
\(909\) | 7.18081 | − | 1.52633i | 0.238173 | − | 0.0506251i | ||||
\(910\) | 0.308312 | + | 1.91057i | 0.0102204 | + | 0.0633347i | ||||
\(911\) | −30.0274 | − | 33.3488i | −0.994853 | − | 1.10490i | −0.994483 | − | 0.104896i | \(-0.966549\pi\) |
−0.000369508 | − | 1.00000i | \(-0.500118\pi\) | |||||||
\(912\) | −4.75684 | − | 14.6400i | −0.157515 | − | 0.484780i | ||||
\(913\) | 6.30876 | + | 2.80884i | 0.208790 | + | 0.0929591i | ||||
\(914\) | −0.0228591 | + | 0.0253876i | −0.000756112 | + | 0.000839748i | ||||
\(915\) | 2.28145 | + | 7.02159i | 0.0754225 | + | 0.232127i | ||||
\(916\) | 18.2280 | − | 13.2434i | 0.602270 | − | 0.437575i | ||||
\(917\) | 20.7291 | + | 4.40612i | 0.684537 | + | 0.145503i | ||||
\(918\) | 2.25021 | + | 2.49911i | 0.0742680 | + | 0.0824829i | ||||
\(919\) | 40.0633 | − | 17.8373i | 1.32157 | − | 0.588399i | 0.379925 | − | 0.925017i | \(-0.375950\pi\) |
0.941641 | + | 0.336618i | \(0.109283\pi\) | |||||||
\(920\) | 1.66242 | − | 5.11640i | 0.0548084 | − | 0.168683i | ||||
\(921\) | 32.2942 | − | 23.4631i | 1.06413 | − | 0.773137i | ||||
\(922\) | −1.73180 | + | 1.25822i | −0.0570336 | + | 0.0414374i | ||||
\(923\) | −17.5928 | − | 6.69449i | −0.579072 | − | 0.220352i | ||||
\(924\) | −29.3039 | + | 50.7559i | −0.964028 | + | 1.66975i | ||||
\(925\) | 3.74870 | 0.123256 | ||||||||
\(926\) | −5.15779 | + | 2.29639i | −0.169495 | + | 0.0754642i | ||||
\(927\) | −4.66395 | − | 14.3542i | −0.153184 | − | 0.471453i | ||||
\(928\) | −5.27348 | + | 16.2301i | −0.173110 | + | 0.532779i | ||||
\(929\) | 13.6309 | + | 23.6095i | 0.447217 | + | 0.774602i | 0.998204 | − | 0.0599117i | \(-0.0190819\pi\) |
−0.550987 | + | 0.834514i | \(0.685749\pi\) | |||||||
\(930\) | −0.333996 | − | 2.23600i | −0.0109522 | − | 0.0733212i | ||||
\(931\) | 1.01144 | 0.0331486 | ||||||||
\(932\) | −50.4582 | + | 10.7252i | −1.65281 | + | 0.351316i | ||||
\(933\) | 28.2346 | − | 31.3577i | 0.924358 | − | 1.02660i | ||||
\(934\) | 4.15139 | − | 1.84832i | 0.135838 | − | 0.0604788i | ||||
\(935\) | 7.78037 | + | 13.4760i | 0.254445 | + | 0.440712i | ||||
\(936\) | 4.45761 | − | 1.20834i | 0.145701 | − | 0.0394958i | ||||
\(937\) | −44.5533 | + | 19.8364i | −1.45549 | + | 0.648027i | −0.973612 | − | 0.228211i | \(-0.926713\pi\) |
−0.481880 | + | 0.876237i | \(0.660046\pi\) | |||||||
\(938\) | −0.724676 | − | 6.89483i | −0.0236615 | − | 0.225124i | ||||
\(939\) | −20.2089 | + | 14.6826i | −0.659492 | + | 0.479149i | ||||
\(940\) | 6.25509 | + | 6.94698i | 0.204019 | + | 0.226586i | ||||
\(941\) | 0.0210048 | − | 0.199847i | 0.000684737 | − | 0.00651483i | −0.994174 | − | 0.107785i | \(-0.965624\pi\) |
0.994859 | + | 0.101270i | \(0.0322908\pi\) | |||||||
\(942\) | −3.75354 | + | 11.5522i | −0.122297 | + | 0.376391i | ||||
\(943\) | 49.5930 | + | 10.5413i | 1.61497 | + | 0.343273i | ||||
\(944\) | 5.49281 | + | 52.2606i | 0.178776 | + | 1.70094i | ||||
\(945\) | −5.03938 | + | 5.59680i | −0.163931 | + | 0.182064i | ||||
\(946\) | 11.1683 | + | 2.37390i | 0.363113 | + | 0.0771820i | ||||
\(947\) | 46.3479 | + | 20.6354i | 1.50611 | + | 0.670561i | 0.983317 | − | 0.181901i | \(-0.0582250\pi\) |
0.522789 | + | 0.852462i | \(0.324892\pi\) | |||||||
\(948\) | 1.39251 | − | 1.54654i | 0.0452266 | − | 0.0502292i | ||||
\(949\) | −32.7742 | − | 21.1483i | −1.06389 | − | 0.686503i | ||||
\(950\) | 0.238433 | − | 2.26854i | 0.00773580 | − | 0.0736012i | ||||
\(951\) | 15.2110 | − | 46.8146i | 0.493250 | − | 1.51807i | ||||
\(952\) | 8.26858 | − | 6.00748i | 0.267986 | − | 0.194703i | ||||
\(953\) | 29.4396 | + | 13.1074i | 0.953643 | + | 0.424589i | 0.823759 | − | 0.566940i | \(-0.191873\pi\) |
0.129884 | + | 0.991529i | \(0.458540\pi\) | |||||||
\(954\) | −0.587539 | + | 0.261589i | −0.0190223 | + | 0.00846927i | ||||
\(955\) | −11.1093 | −0.359490 | ||||||||
\(956\) | 14.8034 | − | 25.6403i | 0.478777 | − | 0.829266i | ||||
\(957\) | −52.5755 | − | 38.1983i | −1.69952 | − | 1.23478i | ||||
\(958\) | 1.67249 | + | 5.14739i | 0.0540357 | + | 0.166305i | ||||
\(959\) | −0.108675 | − | 0.120696i | −0.00350931 | − | 0.00389748i | ||||
\(960\) | 5.22986 | − | 9.05838i | 0.168793 | − | 0.292358i | ||||
\(961\) | 22.6687 | + | 21.1454i | 0.731249 | + | 0.682111i | ||||
\(962\) | −0.550697 | − | 0.547498i | −0.0177552 | − | 0.0176520i | ||||
\(963\) | −2.71151 | + | 8.34516i | −0.0873771 | + | 0.268919i | ||||
\(964\) | 17.3052 | − | 19.2193i | 0.557362 | − | 0.619014i | ||||
\(965\) | 4.39236 | − | 1.95561i | 0.141395 | − | 0.0629532i | ||||
\(966\) | 4.99096 | − | 8.64459i | 0.160581 | − | 0.278135i | ||||
\(967\) | −25.4745 | + | 44.1231i | −0.819204 | + | 1.41890i | 0.0870660 | + | 0.996203i | \(0.472251\pi\) |
−0.906270 | + | 0.422700i | \(0.861082\pi\) | |||||||
\(968\) | 14.0954 | + | 10.2409i | 0.453043 | + | 0.329155i | ||||
\(969\) | −14.5806 | − | 6.49172i | −0.468398 | − | 0.208544i | ||||
\(970\) | −2.26245 | − | 1.00731i | −0.0726430 | − | 0.0323427i | ||||
\(971\) | 37.0723 | + | 41.1729i | 1.18971 | + | 1.32130i | 0.935154 | + | 0.354243i | \(0.115261\pi\) |
0.254552 | + | 0.967059i | \(0.418072\pi\) | |||||||
\(972\) | 19.6856 | + | 14.3025i | 0.631417 | + | 0.458752i | ||||
\(973\) | −48.0116 | + | 10.2052i | −1.53918 | + | 0.327163i | ||||
\(974\) | 0.655135 | − | 0.727601i | 0.0209919 | − | 0.0233138i | ||||
\(975\) | −32.4444 | − | 5.04186i | −1.03905 | − | 0.161469i | ||||
\(976\) | 5.14045 | + | 15.8207i | 0.164542 | + | 0.506408i | ||||
\(977\) | 10.5454 | + | 2.24150i | 0.337378 | + | 0.0717120i | 0.373486 | − | 0.927636i | \(-0.378163\pi\) |
−0.0361074 | + | 0.999348i | \(0.511496\pi\) | |||||||
\(978\) | 6.68788 | + | 2.97763i | 0.213855 | + | 0.0952143i | ||||
\(979\) | 48.9950 | + | 10.4142i | 1.56589 | + | 0.332840i | ||||
\(980\) | 0.495379 | + | 0.550174i | 0.0158243 | + | 0.0175747i | ||||
\(981\) | −15.9369 | + | 7.09558i | −0.508827 | + | 0.226544i | ||||
\(982\) | −7.27334 | − | 8.07786i | −0.232102 | − | 0.257775i | ||||
\(983\) | −9.42247 | − | 4.19516i | −0.300530 | − | 0.133805i | 0.250932 | − | 0.968005i | \(-0.419263\pi\) |
−0.551462 | + | 0.834200i | \(0.685930\pi\) | |||||||
\(984\) | −13.6852 | − | 6.09306i | −0.436269 | − | 0.194240i | ||||
\(985\) | −1.75463 | + | 16.6941i | −0.0559070 | + | 0.531920i | ||||
\(986\) | 2.78729 | + | 4.82773i | 0.0887655 | + | 0.153746i | ||||
\(987\) | 17.6311 | + | 30.5380i | 0.561204 | + | 0.972034i | ||||
\(988\) | 11.1112 | − | 9.05141i | 0.353495 | − | 0.287964i | ||||
\(989\) | 57.6918 | + | 12.2628i | 1.83449 | + | 0.389934i | ||||
\(990\) | −0.902506 | − | 1.00233i | −0.0286835 | − | 0.0318563i | ||||
\(991\) | 18.1241 | − | 31.3918i | 0.575730 | − | 0.997193i | −0.420232 | − | 0.907417i | \(-0.638051\pi\) |
0.995962 | − | 0.0897768i | \(-0.0286154\pi\) | |||||||
\(992\) | −2.38860 | − | 15.9909i | −0.0758382 | − | 0.507712i | ||||
\(993\) | 30.1049 | 0.955352 | ||||||||
\(994\) | 3.53172 | − | 0.750691i | 0.112019 | − | 0.0238105i | ||||
\(995\) | −2.85498 | − | 8.78671i | −0.0905088 | − | 0.278558i | ||||
\(996\) | −4.19444 | − | 3.04744i | −0.132906 | − | 0.0965618i | ||||
\(997\) | −18.7827 | + | 32.5326i | −0.594854 | + | 1.03032i | 0.398713 | + | 0.917076i | \(0.369457\pi\) |
−0.993567 | + | 0.113242i | \(0.963876\pi\) | |||||||
\(998\) | −0.670710 | − | 1.16170i | −0.0212310 | − | 0.0367731i | ||||
\(999\) | 0.315880 | − | 3.00540i | 0.00999401 | − | 0.0950867i |
(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 | 403.2.bk.a.9.20 | yes | 280 | |
13.3 | even | 3 | 403.2.bj.a.133.16 | yes | 280 | ||
31.7 | even | 15 | 403.2.bj.a.100.16 | ✓ | 280 | ||
403.224 | even | 15 | inner | 403.2.bk.a.224.20 | yes | 280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.bj.a.100.16 | ✓ | 280 | 31.7 | even | 15 | ||
403.2.bj.a.133.16 | yes | 280 | 13.3 | even | 3 | ||
403.2.bk.a.9.20 | yes | 280 | 1.1 | even | 1 | trivial | |
403.2.bk.a.224.20 | yes | 280 | 403.224 | even | 15 | inner |