Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,2,Mod(11,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.v (of order \(18\), degree \(6\), 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: | \(1.72476868366\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 11.14 | ||
Character | \(\chi\) | \(=\) | 216.11 |
Dual form | 216.2.v.b.59.14 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.322208 | − | 1.37702i | −0.227836 | − | 0.973700i | ||||
\(3\) | 0.889428 | + | 1.48624i | 0.513512 | + | 0.858083i | ||||
\(4\) | −1.79236 | + | 0.887374i | −0.896182 | + | 0.443687i | ||||
\(5\) | 0.479395 | + | 0.174486i | 0.214392 | + | 0.0780323i | 0.446983 | − | 0.894542i | \(-0.352498\pi\) |
−0.232591 | + | 0.972575i | \(0.574720\pi\) | |||||||
\(6\) | 1.76000 | − | 1.70364i | 0.718518 | − | 0.695508i | ||||
\(7\) | 1.63176 | + | 0.287723i | 0.616746 | + | 0.108749i | 0.473289 | − | 0.880907i | \(-0.343067\pi\) |
0.143458 | + | 0.989656i | \(0.454178\pi\) | |||||||
\(8\) | 1.79945 | + | 2.18220i | 0.636200 | + | 0.771524i | ||||
\(9\) | −1.41783 | + | 2.64381i | −0.472612 | + | 0.881271i | ||||
\(10\) | 0.0858049 | − | 0.716357i | 0.0271339 | − | 0.226532i | ||||
\(11\) | −0.576981 | − | 1.58524i | −0.173966 | − | 0.477968i | 0.821812 | − | 0.569759i | \(-0.192963\pi\) |
−0.995778 | + | 0.0917902i | \(0.970741\pi\) | |||||||
\(12\) | −2.91303 | − | 1.87463i | −0.840920 | − | 0.541160i | ||||
\(13\) | 3.81226 | + | 4.54327i | 1.05733 | + | 1.26008i | 0.964412 | + | 0.264403i | \(0.0851750\pi\) |
0.0929181 | + | 0.995674i | \(0.470381\pi\) | |||||||
\(14\) | −0.129566 | − | 2.33967i | −0.0346279 | − | 0.625302i | ||||
\(15\) | 0.167060 | + | 0.867690i | 0.0431346 | + | 0.224037i | ||||
\(16\) | 2.42513 | − | 3.18099i | 0.606284 | − | 0.795248i | ||||
\(17\) | 5.08792 | − | 2.93751i | 1.23400 | − | 0.712452i | 0.266141 | − | 0.963934i | \(-0.414251\pi\) |
0.967862 | + | 0.251482i | \(0.0809180\pi\) | |||||||
\(18\) | 4.09742 | + | 1.10053i | 0.965771 | + | 0.259397i | ||||
\(19\) | −1.91901 | + | 3.32382i | −0.440251 | + | 0.762538i | −0.997708 | − | 0.0676685i | \(-0.978444\pi\) |
0.557457 | + | 0.830206i | \(0.311777\pi\) | |||||||
\(20\) | −1.01408 | + | 0.112661i | −0.226756 | + | 0.0251918i | ||||
\(21\) | 1.02370 | + | 2.68110i | 0.223391 | + | 0.585063i | ||||
\(22\) | −1.99700 | + | 1.30529i | −0.425762 | + | 0.278289i | ||||
\(23\) | −0.765923 | − | 4.34377i | −0.159706 | − | 0.905738i | −0.954356 | − | 0.298670i | \(-0.903457\pi\) |
0.794650 | − | 0.607067i | \(-0.207654\pi\) | |||||||
\(24\) | −1.64280 | + | 4.61532i | −0.335335 | + | 0.942099i | ||||
\(25\) | −3.63085 | − | 3.04664i | −0.726170 | − | 0.609329i | ||||
\(26\) | 5.02783 | − | 6.71343i | 0.986039 | − | 1.31661i | ||||
\(27\) | −5.19041 | + | 0.244235i | −0.998895 | + | 0.0470031i | ||||
\(28\) | −3.18002 | + | 0.932275i | −0.600967 | + | 0.176183i | ||||
\(29\) | −0.748958 | − | 0.628450i | −0.139078 | − | 0.116700i | 0.570595 | − | 0.821232i | \(-0.306713\pi\) |
−0.709673 | + | 0.704532i | \(0.751157\pi\) | |||||||
\(30\) | 1.14100 | − | 0.509621i | 0.208317 | − | 0.0930437i | ||||
\(31\) | −6.88153 | + | 1.21340i | −1.23596 | + | 0.217933i | −0.753183 | − | 0.657811i | \(-0.771483\pi\) |
−0.482776 | + | 0.875744i | \(0.660372\pi\) | |||||||
\(32\) | −5.16169 | − | 2.31451i | −0.912466 | − | 0.409152i | ||||
\(33\) | 1.84287 | − | 2.26749i | 0.320803 | − | 0.394720i | ||||
\(34\) | −5.68438 | − | 6.05968i | −0.974864 | − | 1.03923i | ||||
\(35\) | 0.732053 | + | 0.422651i | 0.123740 | + | 0.0714410i | ||||
\(36\) | 0.195225 | − | 5.99682i | 0.0325375 | − | 0.999471i | ||||
\(37\) | 5.88275 | − | 3.39641i | 0.967118 | − | 0.558366i | 0.0687618 | − | 0.997633i | \(-0.478095\pi\) |
0.898357 | + | 0.439267i | \(0.144762\pi\) | |||||||
\(38\) | 5.19529 | + | 1.57155i | 0.842787 | + | 0.254939i | ||||
\(39\) | −3.36168 | + | 9.70686i | −0.538299 | + | 1.55434i | ||||
\(40\) | 0.481883 | + | 1.36011i | 0.0761924 | + | 0.215053i | ||||
\(41\) | −2.01755 | − | 2.40442i | −0.315089 | − | 0.375508i | 0.585135 | − | 0.810936i | \(-0.301042\pi\) |
−0.900224 | + | 0.435428i | \(0.856597\pi\) | |||||||
\(42\) | 3.36207 | − | 2.27353i | 0.518779 | − | 0.350814i | ||||
\(43\) | 0.826023 | − | 0.300648i | 0.125967 | − | 0.0458484i | −0.278267 | − | 0.960504i | \(-0.589760\pi\) |
0.404235 | + | 0.914655i | \(0.367538\pi\) | |||||||
\(44\) | 2.44086 | + | 2.32933i | 0.367974 | + | 0.351160i | ||||
\(45\) | −1.14101 | + | 1.02004i | −0.170092 | + | 0.152058i | ||||
\(46\) | −5.73466 | + | 2.45429i | −0.845530 | + | 0.361865i | ||||
\(47\) | 0.0117553 | − | 0.0666674i | 0.00171468 | − | 0.00972444i | −0.983938 | − | 0.178508i | \(-0.942873\pi\) |
0.985653 | + | 0.168784i | \(0.0539840\pi\) | |||||||
\(48\) | 6.88471 | + | 0.775073i | 0.993723 | + | 0.111872i | ||||
\(49\) | −3.99800 | − | 1.45515i | −0.571143 | − | 0.207879i | ||||
\(50\) | −3.02540 | + | 5.98140i | −0.427856 | + | 0.845898i | ||||
\(51\) | 8.89120 | + | 4.94918i | 1.24502 | + | 0.693024i | ||||
\(52\) | −10.8645 | − | 4.76030i | −1.50664 | − | 0.660135i | ||||
\(53\) | −5.83248 | −0.801152 | −0.400576 | − | 0.916263i | \(-0.631190\pi\) | ||||
−0.400576 | + | 0.916263i | \(0.631190\pi\) | |||||||
\(54\) | 2.00871 | + | 7.06860i | 0.273351 | + | 0.961914i | ||||
\(55\) | − | 0.860632i | − | 0.116048i | ||||||
\(56\) | 2.30839 | + | 4.07856i | 0.308471 | + | 0.545021i | ||||
\(57\) | −6.64683 | + | 0.104187i | −0.880394 | + | 0.0138000i | ||||
\(58\) | −0.624067 | + | 1.23382i | −0.0819441 | + | 0.162009i | ||||
\(59\) | −0.521107 | + | 1.43173i | −0.0678423 | + | 0.186395i | −0.968981 | − | 0.247136i | \(-0.920510\pi\) |
0.901138 | + | 0.433532i | \(0.142733\pi\) | |||||||
\(60\) | −1.06940 | − | 1.40697i | −0.138059 | − | 0.181639i | ||||
\(61\) | 10.6832 | + | 1.88373i | 1.36784 | + | 0.241187i | 0.808864 | − | 0.587996i | \(-0.200083\pi\) |
0.558976 | + | 0.829184i | \(0.311194\pi\) | |||||||
\(62\) | 3.88816 | + | 9.08503i | 0.493797 | + | 1.15380i | ||||
\(63\) | −3.07425 | + | 3.90612i | −0.387319 | + | 0.492124i | ||||
\(64\) | −1.52399 | + | 7.85350i | −0.190499 | + | 0.981687i | ||||
\(65\) | 1.03484 | + | 2.84321i | 0.128356 | + | 0.352656i | ||||
\(66\) | −3.71617 | − | 1.80706i | −0.457429 | − | 0.222434i | ||||
\(67\) | −7.05812 | + | 5.92246i | −0.862286 | + | 0.723544i | −0.962459 | − | 0.271426i | \(-0.912505\pi\) |
0.100173 | + | 0.994970i | \(0.468060\pi\) | |||||||
\(68\) | −6.51274 | + | 9.77998i | −0.789785 | + | 1.18600i | ||||
\(69\) | 5.77466 | − | 5.00182i | 0.695187 | − | 0.602148i | ||||
\(70\) | 0.346125 | − | 1.14423i | 0.0413698 | − | 0.136762i | ||||
\(71\) | −8.21657 | − | 14.2315i | −0.975127 | − | 1.68897i | −0.679514 | − | 0.733662i | \(-0.737809\pi\) |
−0.295613 | − | 0.955308i | \(-0.595524\pi\) | |||||||
\(72\) | −8.32064 | + | 1.66340i | −0.980597 | + | 0.196033i | ||||
\(73\) | 0.650656 | − | 1.12697i | 0.0761535 | − | 0.131902i | −0.825434 | − | 0.564499i | \(-0.809069\pi\) |
0.901587 | + | 0.432597i | \(0.142403\pi\) | |||||||
\(74\) | −6.57239 | − | 7.00631i | −0.764025 | − | 0.814467i | ||||
\(75\) | 1.29867 | − | 8.10609i | 0.149958 | − | 0.936011i | ||||
\(76\) | 0.490090 | − | 7.66038i | 0.0562172 | − | 0.878706i | ||||
\(77\) | −0.485382 | − | 2.75274i | −0.0553144 | − | 0.313704i | ||||
\(78\) | 14.4497 | + | 1.50146i | 1.63610 | + | 0.170007i | ||||
\(79\) | 3.66309 | − | 4.36550i | 0.412130 | − | 0.491157i | −0.519549 | − | 0.854441i | \(-0.673900\pi\) |
0.931679 | + | 0.363284i | \(0.118344\pi\) | |||||||
\(80\) | 1.71764 | − | 1.10180i | 0.192037 | − | 0.123185i | ||||
\(81\) | −4.97949 | − | 7.49698i | −0.553277 | − | 0.832998i | ||||
\(82\) | −2.66087 | + | 3.55293i | −0.293844 | + | 0.392356i | ||||
\(83\) | −1.44571 | + | 1.72293i | −0.158687 | + | 0.189116i | −0.839530 | − | 0.543314i | \(-0.817169\pi\) |
0.680842 | + | 0.732430i | \(0.261614\pi\) | |||||||
\(84\) | −4.21399 | − | 3.89709i | −0.459784 | − | 0.425207i | ||||
\(85\) | 2.95168 | − | 0.520461i | 0.320155 | − | 0.0564519i | ||||
\(86\) | −0.680149 | − | 1.04058i | −0.0733424 | − | 0.112208i | ||||
\(87\) | 0.267885 | − | 1.67209i | 0.0287203 | − | 0.179267i | ||||
\(88\) | 2.42107 | − | 4.11164i | 0.258087 | − | 0.438303i | ||||
\(89\) | 11.2944 | + | 6.52081i | 1.19720 | + | 0.691204i | 0.959930 | − | 0.280239i | \(-0.0904139\pi\) |
0.237271 | + | 0.971444i | \(0.423747\pi\) | |||||||
\(90\) | 1.77226 | + | 1.24253i | 0.186812 | + | 0.130974i | ||||
\(91\) | 4.91348 | + | 8.51039i | 0.515072 | + | 0.892131i | ||||
\(92\) | 5.22736 | + | 7.10595i | 0.544990 | + | 0.740846i | ||||
\(93\) | −7.92403 | − | 9.14839i | −0.821684 | − | 0.948644i | ||||
\(94\) | −0.0955899 | + | 0.00529357i | −0.00985935 | + | 0.000545990i | ||||
\(95\) | −1.49992 | + | 1.25859i | −0.153889 | + | 0.129128i | ||||
\(96\) | −1.15102 | − | 9.73012i | −0.117476 | − | 0.993076i | ||||
\(97\) | 13.9173 | − | 5.06549i | 1.41309 | − | 0.514323i | 0.481055 | − | 0.876691i | \(-0.340254\pi\) |
0.932035 | + | 0.362368i | \(0.118032\pi\) | |||||||
\(98\) | −0.715585 | + | 5.97419i | −0.0722850 | + | 0.603484i | ||||
\(99\) | 5.00915 | + | 0.722182i | 0.503438 | + | 0.0725820i | ||||
\(100\) | 9.21131 | + | 2.23877i | 0.921131 | + | 0.223877i | ||||
\(101\) | −1.51077 | + | 8.56802i | −0.150328 | + | 0.852550i | 0.812606 | + | 0.582813i | \(0.198048\pi\) |
−0.962934 | + | 0.269737i | \(0.913063\pi\) | |||||||
\(102\) | 3.95030 | − | 13.8380i | 0.391138 | − | 1.37017i | ||||
\(103\) | −0.326997 | + | 0.898417i | −0.0322200 | + | 0.0885237i | −0.954760 | − | 0.297379i | \(-0.903888\pi\) |
0.922540 | + | 0.385902i | \(0.126110\pi\) | |||||||
\(104\) | −3.05438 | + | 16.4945i | −0.299506 | + | 1.61742i | ||||
\(105\) | 0.0229467 | + | 1.46393i | 0.00223937 | + | 0.142865i | ||||
\(106\) | 1.87927 | + | 8.03143i | 0.182531 | + | 0.780082i | ||||
\(107\) | − | 14.4932i | − | 1.40111i | −0.713597 | − | 0.700557i | \(-0.752935\pi\) | ||
0.713597 | − | 0.700557i | \(-0.247065\pi\) | |||||||
\(108\) | 9.08637 | − | 5.04359i | 0.874337 | − | 0.485320i | ||||
\(109\) | − | 17.4622i | − | 1.67258i | −0.548290 | − | 0.836288i | \(-0.684721\pi\) | ||
0.548290 | − | 0.836288i | \(-0.315279\pi\) | |||||||
\(110\) | −1.18511 | + | 0.277303i | −0.112995 | + | 0.0264398i | ||||
\(111\) | 10.2802 | + | 5.72233i | 0.975751 | + | 0.543140i | ||||
\(112\) | 4.87247 | − | 4.49284i | 0.460406 | − | 0.424534i | ||||
\(113\) | −0.630928 | + | 1.73346i | −0.0593528 | + | 0.163070i | −0.965825 | − | 0.259195i | \(-0.916543\pi\) |
0.906472 | + | 0.422265i | \(0.138765\pi\) | |||||||
\(114\) | 2.28513 | + | 9.11924i | 0.214022 | + | 0.854095i | ||||
\(115\) | 0.390745 | − | 2.21602i | 0.0364371 | − | 0.206645i | ||||
\(116\) | 1.90007 | + | 0.461806i | 0.176418 | + | 0.0428776i | ||||
\(117\) | −17.4167 | + | 3.63729i | −1.61018 | + | 0.336267i | ||||
\(118\) | 2.13942 | + | 0.256259i | 0.196950 | + | 0.0235906i | ||||
\(119\) | 9.14744 | − | 3.32940i | 0.838545 | − | 0.305205i | ||||
\(120\) | −1.59286 | + | 1.92592i | −0.145407 | + | 0.175811i | ||||
\(121\) | 6.24640 | − | 5.24136i | 0.567855 | − | 0.476487i | ||||
\(122\) | −0.848272 | − | 15.3179i | −0.0767990 | − | 1.38682i | ||||
\(123\) | 1.77909 | − | 5.13714i | 0.160415 | − | 0.463200i | ||||
\(124\) | 11.2575 | − | 8.28134i | 1.01095 | − | 0.743687i | ||||
\(125\) | −2.48442 | − | 4.30314i | −0.222213 | − | 0.384885i | ||||
\(126\) | 6.36934 | + | 2.97471i | 0.567426 | + | 0.265009i | ||||
\(127\) | −9.88071 | − | 5.70463i | −0.876771 | − | 0.506204i | −0.00717861 | − | 0.999974i | \(-0.502285\pi\) |
−0.869592 | + | 0.493770i | \(0.835618\pi\) | |||||||
\(128\) | 11.3055 | − | 0.431896i | 0.999271 | − | 0.0381746i | ||||
\(129\) | 1.18152 | + | 0.960266i | 0.104027 | + | 0.0845467i | ||||
\(130\) | 3.58172 | − | 2.34110i | 0.314137 | − | 0.205328i | ||||
\(131\) | −3.72734 | + | 0.657230i | −0.325659 | + | 0.0574225i | −0.334088 | − | 0.942542i | \(-0.608428\pi\) |
0.00842869 | + | 0.999964i | \(0.497317\pi\) | |||||||
\(132\) | −1.29098 | + | 5.69949i | −0.112365 | + | 0.496077i | ||||
\(133\) | −4.08770 | + | 4.87153i | −0.354448 | + | 0.422415i | ||||
\(134\) | 10.4295 | + | 7.81089i | 0.900974 | + | 0.674759i | ||||
\(135\) | −2.53087 | − | 0.788566i | −0.217823 | − | 0.0678690i | ||||
\(136\) | 15.5657 | + | 5.81697i | 1.33475 | + | 0.498801i | ||||
\(137\) | −11.5314 | + | 13.7426i | −0.985198 | + | 1.17411i | −0.000471980 | 1.00000i | \(0.500150\pi\) | |
−0.984726 | + | 0.174113i | \(0.944294\pi\) | |||||||
\(138\) | −8.74824 | − | 6.34019i | −0.744699 | − | 0.539712i | ||||
\(139\) | 0.427954 | + | 2.42705i | 0.0362986 | + | 0.205859i | 0.997563 | − | 0.0697674i | \(-0.0222257\pi\) |
−0.961265 | + | 0.275627i | \(0.911115\pi\) | |||||||
\(140\) | −1.68715 | − | 0.107939i | −0.142591 | − | 0.00912255i | ||||
\(141\) | 0.109539 | − | 0.0418247i | 0.00922488 | − | 0.00352228i | ||||
\(142\) | −16.9496 | + | 15.8999i | −1.42238 | + | 1.33429i | ||||
\(143\) | 5.00259 | − | 8.66473i | 0.418337 | − | 0.724581i | ||||
\(144\) | 4.97151 | + | 10.9217i | 0.414293 | + | 0.910144i | ||||
\(145\) | −0.249391 | − | 0.431958i | −0.0207108 | − | 0.0358722i | ||||
\(146\) | −1.76150 | − | 0.532847i | −0.145783 | − | 0.0440987i | ||||
\(147\) | −1.39322 | − | 7.23626i | −0.114911 | − | 0.596836i | ||||
\(148\) | −7.53015 | + | 11.3078i | −0.618974 | + | 0.929495i | ||||
\(149\) | 3.55227 | − | 2.98071i | 0.291013 | − | 0.244189i | −0.485579 | − | 0.874193i | \(-0.661391\pi\) |
0.776592 | + | 0.630004i | \(0.216947\pi\) | |||||||
\(150\) | −11.5807 | + | 0.823553i | −0.945559 | + | 0.0672428i | ||||
\(151\) | 1.81281 | + | 4.98066i | 0.147524 | + | 0.405320i | 0.991341 | − | 0.131311i | \(-0.0419187\pi\) |
−0.843817 | + | 0.536632i | \(0.819697\pi\) | |||||||
\(152\) | −10.7064 | + | 1.79338i | −0.868404 | + | 0.145462i | ||||
\(153\) | 0.552402 | + | 17.6164i | 0.0446591 | + | 1.42420i | ||||
\(154\) | −3.63418 | + | 1.55534i | −0.292851 | + | 0.125333i | ||||
\(155\) | −3.51069 | − | 0.619030i | −0.281986 | − | 0.0497217i | ||||
\(156\) | −2.58827 | − | 20.3813i | −0.207227 | − | 1.63181i | ||||
\(157\) | −6.04596 | + | 16.6111i | −0.482520 | + | 1.32571i | 0.424805 | + | 0.905285i | \(0.360343\pi\) |
−0.907326 | + | 0.420429i | \(0.861880\pi\) | |||||||
\(158\) | −7.19166 | − | 3.63755i | −0.572138 | − | 0.289388i | ||||
\(159\) | −5.18757 | − | 8.66847i | −0.411401 | − | 0.687455i | ||||
\(160\) | −2.07064 | − | 2.01021i | −0.163698 | − | 0.158921i | ||||
\(161\) | − | 7.30834i | − | 0.575978i | ||||||
\(162\) | −8.71905 | + | 9.27244i | −0.685033 | + | 0.728512i | ||||
\(163\) | 21.0349 | 1.64758 | 0.823789 | − | 0.566896i | \(-0.191856\pi\) | ||||
0.823789 | + | 0.566896i | \(0.191856\pi\) | |||||||
\(164\) | 5.74981 | + | 2.51928i | 0.448985 | + | 0.196723i | ||||
\(165\) | 1.27911 | − | 0.765470i | 0.0995784 | − | 0.0595918i | ||||
\(166\) | 2.83833 | + | 1.43563i | 0.220297 | + | 0.111426i | ||||
\(167\) | 16.2585 | + | 5.91760i | 1.25812 | + | 0.457918i | 0.883137 | − | 0.469114i | \(-0.155427\pi\) |
0.374982 | + | 0.927032i | \(0.377649\pi\) | |||||||
\(168\) | −4.00859 | + | 7.05841i | −0.309269 | + | 0.544568i | ||||
\(169\) | −3.85059 | + | 21.8378i | −0.296199 | + | 1.67983i | ||||
\(170\) | −1.66774 | − | 3.89682i | −0.127910 | − | 0.298873i | ||||
\(171\) | −6.06673 | − | 9.78614i | −0.463934 | − | 0.748365i | ||||
\(172\) | −1.21375 | + | 1.27186i | −0.0925473 | + | 0.0969785i | ||||
\(173\) | −22.9789 | + | 8.36365i | −1.74706 | + | 0.635877i | −0.999596 | − | 0.0284290i | \(-0.990950\pi\) |
−0.747461 | + | 0.664306i | \(0.768727\pi\) | |||||||
\(174\) | −2.38882 | + | 0.169879i | −0.181096 | + | 0.0128785i | ||||
\(175\) | −5.04807 | − | 6.01606i | −0.381598 | − | 0.454771i | ||||
\(176\) | −6.44190 | − | 2.00905i | −0.485577 | − | 0.151438i | ||||
\(177\) | −2.59138 | + | 0.498929i | −0.194780 | + | 0.0375018i | ||||
\(178\) | 5.34014 | − | 17.6536i | 0.400260 | − | 1.32319i | ||||
\(179\) | −11.1303 | + | 6.42610i | −0.831920 | + | 0.480309i | −0.854510 | − | 0.519436i | \(-0.826142\pi\) |
0.0225897 | + | 0.999745i | \(0.492809\pi\) | |||||||
\(180\) | 1.13995 | − | 2.84078i | 0.0849668 | − | 0.211740i | ||||
\(181\) | 5.53930 | + | 3.19811i | 0.411733 | + | 0.237714i | 0.691534 | − | 0.722344i | \(-0.256935\pi\) |
−0.279801 | + | 0.960058i | \(0.590269\pi\) | |||||||
\(182\) | 10.1358 | − | 9.50807i | 0.751316 | − | 0.704785i | ||||
\(183\) | 6.70223 | + | 17.5532i | 0.495443 | + | 1.29757i | ||||
\(184\) | 8.10073 | − | 9.48777i | 0.597194 | − | 0.699447i | ||||
\(185\) | 3.41279 | − | 0.601766i | 0.250913 | − | 0.0442427i | ||||
\(186\) | −10.0443 | + | 13.8592i | −0.736485 | + | 1.01621i | ||||
\(187\) | −7.59230 | − | 6.37070i | −0.555204 | − | 0.465872i | ||||
\(188\) | 0.0380892 | + | 0.129924i | 0.00277794 | + | 0.00947565i | ||||
\(189\) | −8.53976 | − | 1.09487i | −0.621176 | − | 0.0796398i | ||||
\(190\) | 2.21638 | + | 1.65990i | 0.160793 | + | 0.120422i | ||||
\(191\) | 17.9929 | + | 15.0978i | 1.30192 | + | 1.09244i | 0.989810 | + | 0.142395i | \(0.0454803\pi\) |
0.312110 | + | 0.950046i | \(0.398964\pi\) | |||||||
\(192\) | −13.0277 | + | 4.72010i | −0.940192 | + | 0.340644i | ||||
\(193\) | −1.87948 | − | 10.6591i | −0.135288 | − | 0.767257i | −0.974659 | − | 0.223697i | \(-0.928187\pi\) |
0.839371 | − | 0.543560i | \(-0.182924\pi\) | |||||||
\(194\) | −11.4596 | − | 17.5323i | −0.822748 | − | 1.25874i | ||||
\(195\) | −3.30528 | + | 4.06686i | −0.236696 | + | 0.291234i | ||||
\(196\) | 8.45714 | − | 0.939558i | 0.604081 | − | 0.0671113i | ||||
\(197\) | −11.1556 | + | 19.3221i | −0.794806 | + | 1.37664i | 0.128157 | + | 0.991754i | \(0.459094\pi\) |
−0.922963 | + | 0.384890i | \(0.874239\pi\) | |||||||
\(198\) | −0.619530 | − | 7.13038i | −0.0440281 | − | 0.506734i | ||||
\(199\) | 1.06520 | − | 0.614992i | 0.0755098 | − | 0.0435956i | −0.461770 | − | 0.887000i | \(-0.652785\pi\) |
0.537280 | + | 0.843404i | \(0.319452\pi\) | |||||||
\(200\) | 0.114872 | − | 13.4055i | 0.00812264 | − | 0.947912i | ||||
\(201\) | −15.0799 | − | 5.22247i | −1.06365 | − | 0.368364i | ||||
\(202\) | 12.2851 | − | 0.680324i | 0.864378 | − | 0.0478674i | ||||
\(203\) | −1.04130 | − | 1.24097i | −0.0730848 | − | 0.0870990i | ||||
\(204\) | −20.3280 | − | 0.980911i | −1.42325 | − | 0.0686775i | ||||
\(205\) | −0.547667 | − | 1.50470i | −0.0382507 | − | 0.105093i | ||||
\(206\) | 1.34250 | + | 0.160804i | 0.0935363 | + | 0.0112037i | ||||
\(207\) | 12.5701 | + | 4.13378i | 0.873679 | + | 0.287318i | ||||
\(208\) | 23.6974 | − | 1.10872i | 1.64312 | − | 0.0768760i | ||||
\(209\) | 6.37630 | + | 1.12431i | 0.441058 | + | 0.0777704i | ||||
\(210\) | 2.00846 | − | 0.503287i | 0.138597 | − | 0.0347301i | ||||
\(211\) | −9.85984 | − | 3.58869i | −0.678779 | − | 0.247055i | −0.0204559 | − | 0.999791i | \(-0.506512\pi\) |
−0.658323 | + | 0.752735i | \(0.728734\pi\) | |||||||
\(212\) | 10.4539 | − | 5.17559i | 0.717978 | − | 0.355461i | ||||
\(213\) | 13.8434 | − | 24.8697i | 0.948537 | − | 1.70405i | ||||
\(214\) | −19.9575 | + | 4.66984i | −1.36426 | + | 0.319224i | ||||
\(215\) | 0.448450 | 0.0305840 | ||||||||
\(216\) | −9.87283 | − | 10.8870i | −0.671761 | − | 0.740768i | ||||
\(217\) | −11.5781 | −0.785973 | ||||||||
\(218\) | −24.0458 | + | 5.62647i | −1.62859 | + | 0.381073i | ||||
\(219\) | 2.25366 | − | 0.0353256i | 0.152288 | − | 0.00238708i | ||||
\(220\) | 0.763702 | + | 1.54257i | 0.0514888 | + | 0.104000i | ||||
\(221\) | 32.7424 | + | 11.9173i | 2.20249 | + | 0.801642i | ||||
\(222\) | 4.56741 | − | 15.9998i | 0.306544 | − | 1.07383i | ||||
\(223\) | 16.8245 | + | 2.96662i | 1.12666 | + | 0.198660i | 0.705761 | − | 0.708450i | \(-0.250605\pi\) |
0.420894 | + | 0.907110i | \(0.361716\pi\) | |||||||
\(224\) | −7.75668 | − | 5.26186i | −0.518265 | − | 0.351573i | ||||
\(225\) | 13.2027 | − | 5.27964i | 0.880180 | − | 0.351976i | ||||
\(226\) | 2.59030 | + | 0.310265i | 0.172304 | + | 0.0206385i | ||||
\(227\) | −1.22884 | − | 3.37622i | −0.0815612 | − | 0.224088i | 0.892208 | − | 0.451624i | \(-0.149155\pi\) |
−0.973770 | + | 0.227536i | \(0.926933\pi\) | |||||||
\(228\) | 11.8211 | − | 6.08497i | 0.782871 | − | 0.402987i | ||||
\(229\) | 1.03366 | + | 1.23187i | 0.0683063 | + | 0.0814042i | 0.799115 | − | 0.601178i | \(-0.205302\pi\) |
−0.730809 | + | 0.682582i | \(0.760857\pi\) | |||||||
\(230\) | −3.17741 | + | 0.175958i | −0.209512 | + | 0.0116023i | ||||
\(231\) | 3.65953 | − | 3.16976i | 0.240779 | − | 0.208555i | ||||
\(232\) | 0.0236953 | − | 2.76524i | 0.00155567 | − | 0.181547i | ||||
\(233\) | −8.68417 | + | 5.01381i | −0.568919 | + | 0.328465i | −0.756717 | − | 0.653742i | \(-0.773198\pi\) |
0.187799 | + | 0.982208i | \(0.439865\pi\) | |||||||
\(234\) | 10.6204 | + | 22.8112i | 0.694279 | + | 1.49121i | ||||
\(235\) | 0.0172679 | − | 0.0299089i | 0.00112643 | − | 0.00195104i | ||||
\(236\) | −0.336466 | − | 3.02860i | −0.0219021 | − | 0.197145i | ||||
\(237\) | 9.74625 | + | 1.56144i | 0.633087 | + | 0.101427i | ||||
\(238\) | −7.53203 | − | 11.5234i | −0.488229 | − | 0.746954i | ||||
\(239\) | −1.87083 | − | 10.6100i | −0.121014 | − | 0.686305i | −0.983596 | − | 0.180387i | \(-0.942265\pi\) |
0.862582 | − | 0.505918i | \(-0.168846\pi\) | |||||||
\(240\) | 3.16526 | + | 1.57285i | 0.204317 | + | 0.101527i | ||||
\(241\) | 1.12716 | + | 0.945796i | 0.0726065 | + | 0.0609241i | 0.678369 | − | 0.734722i | \(-0.262687\pi\) |
−0.605762 | + | 0.795646i | \(0.707132\pi\) | |||||||
\(242\) | −9.23009 | − | 6.91261i | −0.593333 | − | 0.444359i | ||||
\(243\) | 6.71343 | − | 14.0688i | 0.430667 | − | 0.902511i | ||||
\(244\) | −20.8197 | + | 6.10364i | −1.33284 | + | 0.390745i | ||||
\(245\) | −1.66272 | − | 1.39519i | −0.106227 | − | 0.0891352i | ||||
\(246\) | −7.64717 | − | 0.794615i | −0.487566 | − | 0.0506628i | ||||
\(247\) | −22.4168 | + | 3.95269i | −1.42635 | + | 0.251503i | ||||
\(248\) | −15.0308 | − | 12.8334i | −0.954458 | − | 0.814923i | ||||
\(249\) | −3.84655 | − | 0.616253i | −0.243765 | − | 0.0390535i | ||||
\(250\) | −5.12501 | + | 4.80760i | −0.324134 | + | 0.304059i | ||||
\(251\) | −4.82603 | − | 2.78631i | −0.304616 | − | 0.175870i | 0.339898 | − | 0.940462i | \(-0.389607\pi\) |
−0.644515 | + | 0.764592i | \(0.722941\pi\) | |||||||
\(252\) | 2.04398 | − | 9.72919i | 0.128759 | − | 0.612881i | ||||
\(253\) | −6.44400 | + | 3.72044i | −0.405131 | + | 0.233902i | ||||
\(254\) | −4.67174 | + | 15.4440i | −0.293131 | + | 0.969043i | ||||
\(255\) | 3.39884 | + | 3.92400i | 0.212844 | + | 0.245730i | ||||
\(256\) | −4.23744 | − | 15.4287i | −0.264840 | − | 0.964292i | ||||
\(257\) | −5.16196 | − | 6.15179i | −0.321995 | − | 0.383738i | 0.580630 | − | 0.814168i | \(-0.302806\pi\) |
−0.902624 | + | 0.430430i | \(0.858362\pi\) | |||||||
\(258\) | 0.941608 | − | 1.93639i | 0.0586220 | − | 0.120554i | ||||
\(259\) | 10.5764 | − | 3.84951i | 0.657188 | − | 0.239197i | ||||
\(260\) | −4.37780 | − | 4.17777i | −0.271500 | − | 0.259094i | ||||
\(261\) | 2.72340 | − | 1.08907i | 0.168574 | − | 0.0674115i | ||||
\(262\) | 2.10600 | + | 4.92085i | 0.130109 | + | 0.304011i | ||||
\(263\) | −5.00913 | + | 28.4082i | −0.308876 | + | 1.75173i | 0.295796 | + | 0.955251i | \(0.404415\pi\) |
−0.604673 | + | 0.796474i | \(0.706696\pi\) | |||||||
\(264\) | 8.26427 | − | 0.0587161i | 0.508630 | − | 0.00361373i | ||||
\(265\) | −2.79606 | − | 1.01768i | −0.171761 | − | 0.0625158i | ||||
\(266\) | 8.02528 | + | 4.05919i | 0.492062 | + | 0.248885i | ||||
\(267\) | 0.354030 | + | 22.5860i | 0.0216663 | + | 1.38224i | ||||
\(268\) | 7.39527 | − | 16.8784i | 0.451738 | − | 1.03101i | ||||
\(269\) | 3.32709 | 0.202856 | 0.101428 | − | 0.994843i | \(-0.467659\pi\) | ||||
0.101428 | + | 0.994843i | \(0.467659\pi\) | |||||||
\(270\) | −0.270403 | + | 3.73914i | −0.0164562 | + | 0.227557i | ||||
\(271\) | 21.4283i | 1.30168i | 0.759217 | + | 0.650838i | \(0.225582\pi\) | ||||
−0.759217 | + | 0.650838i | \(0.774418\pi\) | |||||||
\(272\) | 2.99469 | − | 23.3085i | 0.181580 | − | 1.41329i | ||||
\(273\) | −8.27832 | + | 14.8720i | −0.501027 | + | 0.900094i | ||||
\(274\) | 22.6394 | + | 11.4510i | 1.36770 | + | 0.691782i | ||||
\(275\) | −2.73474 | + | 7.51363i | −0.164911 | + | 0.453089i | ||||
\(276\) | −5.91180 | + | 14.0894i | −0.355849 | + | 0.848079i | ||||
\(277\) | −20.0857 | − | 3.54166i | −1.20684 | − | 0.212798i | −0.466184 | − | 0.884688i | \(-0.654372\pi\) |
−0.740651 | + | 0.671890i | \(0.765483\pi\) | |||||||
\(278\) | 3.20420 | − | 1.37131i | 0.192175 | − | 0.0822460i | ||||
\(279\) | 6.54887 | − | 19.9139i | 0.392071 | − | 1.19221i | ||||
\(280\) | 0.394980 | + | 2.35802i | 0.0236046 | + | 0.140919i | ||||
\(281\) | 3.46558 | + | 9.52160i | 0.206739 | + | 0.568011i | 0.999117 | − | 0.0420199i | \(-0.0133793\pi\) |
−0.792378 | + | 0.610031i | \(0.791157\pi\) | |||||||
\(282\) | −0.0928879 | − | 0.137362i | −0.00553140 | − | 0.00817976i | ||||
\(283\) | −7.29974 | + | 6.12521i | −0.433924 | + | 0.364106i | −0.833430 | − | 0.552625i | \(-0.813626\pi\) |
0.399506 | + | 0.916731i | \(0.369182\pi\) | |||||||
\(284\) | 27.3558 | + | 18.2169i | 1.62327 | + | 1.08097i | ||||
\(285\) | −3.20464 | − | 1.10983i | −0.189826 | − | 0.0657406i | ||||
\(286\) | −13.5434 | − | 4.09681i | −0.800837 | − | 0.242249i | ||||
\(287\) | −2.60035 | − | 4.50393i | −0.153494 | − | 0.265859i | ||||
\(288\) | 13.4376 | − | 10.3649i | 0.791816 | − | 0.610760i | ||||
\(289\) | 8.75798 | − | 15.1693i | 0.515175 | − | 0.892309i | ||||
\(290\) | −0.514459 | + | 0.482597i | −0.0302101 | + | 0.0283391i | ||||
\(291\) | 19.9070 | + | 16.1791i | 1.16697 | + | 0.948437i | ||||
\(292\) | −0.166169 | + | 2.59731i | −0.00972430 | + | 0.151996i | ||||
\(293\) | −3.81617 | − | 21.6426i | −0.222943 | − | 1.26437i | −0.866579 | − | 0.499040i | \(-0.833686\pi\) |
0.643636 | − | 0.765332i | \(-0.277425\pi\) | |||||||
\(294\) | −9.51556 | + | 4.25008i | −0.554958 | + | 0.247870i | ||||
\(295\) | −0.499632 | + | 0.595438i | −0.0290897 | + | 0.0346678i | ||||
\(296\) | 17.9973 | + | 6.72569i | 1.04607 | + | 0.390923i | ||||
\(297\) | 3.38194 | + | 8.08713i | 0.196240 | + | 0.469263i | ||||
\(298\) | −5.24906 | − | 3.93113i | −0.304070 | − | 0.227724i | ||||
\(299\) | 16.8150 | − | 20.0394i | 0.972437 | − | 1.15891i | ||||
\(300\) | 4.86544 | + | 15.6815i | 0.280906 | + | 0.905370i | ||||
\(301\) | 1.43437 | − | 0.252918i | 0.0826758 | − | 0.0145780i | ||||
\(302\) | 6.27436 | − | 4.10109i | 0.361049 | − | 0.235991i | ||||
\(303\) | −14.0779 | + | 5.37527i | −0.808753 | + | 0.308801i | ||||
\(304\) | 5.91920 | + | 14.1651i | 0.339490 | + | 0.812423i | ||||
\(305\) | 4.79278 | + | 2.76711i | 0.274434 | + | 0.158444i | ||||
\(306\) | 24.0802 | − | 6.43683i | 1.37657 | − | 0.367969i | ||||
\(307\) | −13.4094 | − | 23.2258i | −0.765315 | − | 1.32556i | −0.940080 | − | 0.340954i | \(-0.889250\pi\) |
0.174766 | − | 0.984610i | \(-0.444083\pi\) | |||||||
\(308\) | 3.31269 | + | 4.50319i | 0.188758 | + | 0.256593i | ||||
\(309\) | −1.62611 | + | 0.313081i | −0.0925060 | + | 0.0178105i | ||||
\(310\) | 0.278758 | + | 5.03375i | 0.0158324 | + | 0.285898i | ||||
\(311\) | −18.4841 | + | 15.5100i | −1.04814 | + | 0.879492i | −0.992897 | − | 0.118981i | \(-0.962037\pi\) |
−0.0552415 | + | 0.998473i | \(0.517593\pi\) | |||||||
\(312\) | −27.2315 | + | 10.1311i | −1.54168 | + | 0.573561i | ||||
\(313\) | −16.5696 | + | 6.03083i | −0.936567 | + | 0.340883i | −0.764809 | − | 0.644257i | \(-0.777167\pi\) |
−0.171758 | + | 0.985139i | \(0.554945\pi\) | |||||||
\(314\) | 24.8219 | + | 2.97316i | 1.40078 | + | 0.167785i | ||||
\(315\) | −2.15534 | + | 1.33616i | −0.121440 | + | 0.0752842i | ||||
\(316\) | −2.69176 | + | 11.0751i | −0.151423 | + | 0.623023i | ||||
\(317\) | 0.661246 | − | 3.75011i | 0.0371393 | − | 0.210627i | −0.960591 | − | 0.277966i | \(-0.910340\pi\) |
0.997730 | + | 0.0673387i | \(0.0214508\pi\) | |||||||
\(318\) | −10.2652 | + | 9.93644i | −0.575643 | + | 0.557208i | ||||
\(319\) | −0.564111 | + | 1.54988i | −0.0315842 | + | 0.0867768i | ||||
\(320\) | −2.10092 | + | 3.49901i | −0.117445 | + | 0.195601i | ||||
\(321\) | 21.5405 | − | 12.8907i | 1.20227 | − | 0.719488i | ||||
\(322\) | −10.0637 | + | 2.35481i | −0.560830 | + | 0.131228i | ||||
\(323\) | 22.5485i | 1.25463i | ||||||||
\(324\) | 15.5777 | + | 9.01864i | 0.865427 | + | 0.501036i | ||||
\(325\) | − | 28.1105i | − | 1.55929i | ||||||
\(326\) | −6.77761 | − | 28.9654i | −0.375377 | − | 1.60425i | ||||
\(327\) | 25.9531 | − | 15.5314i | 1.43521 | − | 0.858888i | ||||
\(328\) | 1.61646 | − | 8.72933i | 0.0892541 | − | 0.481997i | ||||
\(329\) | 0.0383635 | − | 0.105403i | 0.00211505 | − | 0.00581104i | ||||
\(330\) | −1.46621 | − | 1.51472i | −0.0807120 | − | 0.0833823i | ||||
\(331\) | −5.07478 | + | 28.7805i | −0.278935 | + | 1.58192i | 0.447242 | + | 0.894413i | \(0.352406\pi\) |
−0.726177 | + | 0.687508i | \(0.758705\pi\) | |||||||
\(332\) | 1.06236 | − | 4.37100i | 0.0583043 | − | 0.239890i | ||||
\(333\) | 0.638698 | + | 20.3684i | 0.0350004 | + | 1.11618i | ||||
\(334\) | 2.91004 | − | 24.2949i | 0.159230 | − | 1.32936i | ||||
\(335\) | −4.41701 | + | 1.60766i | −0.241327 | + | 0.0878359i | ||||
\(336\) | 11.0112 | + | 3.24562i | 0.600709 | + | 0.177063i | ||||
\(337\) | 9.49374 | − | 7.96619i | 0.517157 | − | 0.433946i | −0.346482 | − | 0.938056i | \(-0.612624\pi\) |
0.863639 | + | 0.504110i | \(0.168180\pi\) | |||||||
\(338\) | 31.3117 | − | 1.73398i | 1.70313 | − | 0.0943159i | ||||
\(339\) | −3.13751 | + | 0.604077i | −0.170406 | + | 0.0328090i | ||||
\(340\) | −4.82864 | + | 3.55210i | −0.261870 | + | 0.192640i | ||||
\(341\) | 5.89404 | + | 10.2088i | 0.319180 | + | 0.552836i | ||||
\(342\) | −11.5209 | + | 11.5072i | −0.622982 | + | 0.622237i | ||||
\(343\) | −16.1497 | − | 9.32403i | −0.872001 | − | 0.503450i | ||||
\(344\) | 2.14246 | + | 1.26155i | 0.115514 | + | 0.0680181i | ||||
\(345\) | 3.64109 | − | 1.39025i | 0.196030 | − | 0.0748487i | ||||
\(346\) | 18.9209 | + | 28.9476i | 1.01719 | + | 1.55623i | ||||
\(347\) | 29.4108 | − | 5.18591i | 1.57885 | − | 0.278394i | 0.685610 | − | 0.727969i | \(-0.259535\pi\) |
0.893243 | + | 0.449574i | \(0.148424\pi\) | |||||||
\(348\) | 1.00363 | + | 3.23472i | 0.0538000 | + | 0.173399i | ||||
\(349\) | −6.13674 | + | 7.31348i | −0.328492 | + | 0.391482i | −0.904860 | − | 0.425708i | \(-0.860025\pi\) |
0.576368 | + | 0.817190i | \(0.304469\pi\) | |||||||
\(350\) | −6.65770 | + | 8.88972i | −0.355869 | + | 0.475175i | ||||
\(351\) | −20.8968 | − | 22.6504i | −1.11539 | − | 1.20899i | ||||
\(352\) | −0.690870 | + | 9.51795i | −0.0368235 | + | 0.507309i | ||||
\(353\) | 11.2479 | − | 13.4047i | 0.598664 | − | 0.713461i | −0.378582 | − | 0.925568i | \(-0.623588\pi\) |
0.977246 | + | 0.212107i | \(0.0680326\pi\) | |||||||
\(354\) | 1.52200 | + | 3.40763i | 0.0808934 | + | 0.181113i | ||||
\(355\) | −1.45579 | − | 8.25619i | −0.0772653 | − | 0.438193i | ||||
\(356\) | −26.0300 | − | 1.66533i | −1.37959 | − | 0.0882622i | ||||
\(357\) | 13.0843 | + | 10.6341i | 0.692494 | + | 0.562814i | ||||
\(358\) | 12.4351 | + | 13.2561i | 0.657218 | + | 0.700609i | ||||
\(359\) | 7.81239 | − | 13.5314i | 0.412322 | − | 0.714163i | −0.582821 | − | 0.812600i | \(-0.698051\pi\) |
0.995143 | + | 0.0984378i | \(0.0313845\pi\) | |||||||
\(360\) | −4.27912 | − | 0.654407i | −0.225529 | − | 0.0344903i | ||||
\(361\) | 2.13480 | + | 3.69758i | 0.112358 | + | 0.194609i | ||||
\(362\) | 2.61906 | − | 8.65818i | 0.137655 | − | 0.455064i | ||||
\(363\) | 13.3457 | + | 4.62186i | 0.700465 | + | 0.242585i | ||||
\(364\) | −16.3586 | − | 10.8936i | −0.857425 | − | 0.570981i | ||||
\(365\) | 0.508561 | − | 0.426733i | 0.0266193 | − | 0.0223362i | ||||
\(366\) | 22.0116 | − | 14.8849i | 1.15057 | − | 0.778046i | ||||
\(367\) | −4.58311 | − | 12.5920i | −0.239236 | − | 0.657296i | −0.999966 | − | 0.00822764i | \(-0.997381\pi\) |
0.760730 | − | 0.649069i | \(-0.224841\pi\) | |||||||
\(368\) | −15.6750 | − | 8.09782i | −0.817114 | − | 0.422128i | ||||
\(369\) | 9.21740 | − | 1.92495i | 0.479839 | − | 0.100209i | ||||
\(370\) | −1.92827 | − | 4.50558i | −0.100246 | − | 0.234234i | ||||
\(371\) | −9.51718 | − | 1.67814i | −0.494108 | − | 0.0871245i | ||||
\(372\) | 22.3208 | + | 9.36566i | 1.15728 | + | 0.485587i | ||||
\(373\) | −2.05166 | + | 5.63688i | −0.106231 | + | 0.291867i | −0.981407 | − | 0.191937i | \(-0.938523\pi\) |
0.875176 | + | 0.483804i | \(0.160745\pi\) | |||||||
\(374\) | −6.32627 | + | 12.5074i | −0.327124 | + | 0.646744i | ||||
\(375\) | 4.18580 | − | 7.51979i | 0.216154 | − | 0.388320i | ||||
\(376\) | 0.166635 | − | 0.0943120i | 0.00859352 | − | 0.00486377i | ||||
\(377\) | − | 5.79853i | − | 0.298640i | ||||||
\(378\) | 1.24393 | + | 12.1122i | 0.0639808 | + | 0.622984i | ||||
\(379\) | 7.22372 | 0.371057 | 0.185529 | − | 0.982639i | \(-0.440600\pi\) | ||||
0.185529 | + | 0.982639i | \(0.440600\pi\) | |||||||
\(380\) | 1.57157 | − | 3.58684i | 0.0806200 | − | 0.184001i | ||||
\(381\) | −0.309717 | − | 19.7590i | −0.0158673 | − | 1.01228i | ||||
\(382\) | 14.9925 | − | 29.6412i | 0.767085 | − | 1.51658i | ||||
\(383\) | 3.09179 | + | 1.12532i | 0.157983 | + | 0.0575012i | 0.419801 | − | 0.907616i | \(-0.362100\pi\) |
−0.261818 | + | 0.965117i | \(0.584322\pi\) | |||||||
\(384\) | 10.6973 | + | 16.4185i | 0.545894 | + | 0.837854i | ||||
\(385\) | 0.247623 | − | 1.40434i | 0.0126201 | − | 0.0715719i | ||||
\(386\) | −14.0722 | + | 6.02252i | −0.716254 | + | 0.306538i | ||||
\(387\) | −0.376308 | + | 2.61012i | −0.0191288 | + | 0.132680i | ||||
\(388\) | −20.4499 | + | 21.4291i | −1.03819 | + | 1.08790i | ||||
\(389\) | 14.6598 | − | 5.33573i | 0.743282 | − | 0.270532i | 0.0575057 | − | 0.998345i | \(-0.481685\pi\) |
0.685776 | + | 0.727813i | \(0.259463\pi\) | |||||||
\(390\) | 6.66513 | + | 3.24106i | 0.337502 | + | 0.164117i | ||||
\(391\) | −16.6568 | − | 19.8508i | −0.842372 | − | 1.00390i | ||||
\(392\) | −4.01875 | − | 11.3429i | −0.202978 | − | 0.572903i | ||||
\(393\) | −4.29200 | − | 4.95517i | −0.216503 | − | 0.249955i | ||||
\(394\) | 30.2014 | + | 9.13577i | 1.52152 | + | 0.460253i | ||||
\(395\) | 2.51778 | − | 1.45364i | 0.126684 | − | 0.0731408i | ||||
\(396\) | −9.61906 | + | 3.15057i | −0.483376 | + | 0.158322i | ||||
\(397\) | −5.69844 | − | 3.28999i | −0.285996 | − | 0.165120i | 0.350139 | − | 0.936698i | \(-0.386134\pi\) |
−0.636135 | + | 0.771578i | \(0.719468\pi\) | |||||||
\(398\) | −1.19007 | − | 1.26864i | −0.0596529 | − | 0.0635913i | ||||
\(399\) | −10.8760 | − | 1.74244i | −0.544481 | − | 0.0872309i | ||||
\(400\) | −18.4966 | + | 4.16118i | −0.924832 | + | 0.208059i | ||||
\(401\) | −2.96062 | + | 0.522037i | −0.147846 | + | 0.0260693i | −0.247081 | − | 0.968995i | \(-0.579472\pi\) |
0.0992351 | + | 0.995064i | \(0.468360\pi\) | |||||||
\(402\) | −2.33257 | + | 22.4480i | −0.116338 | + | 1.11961i | ||||
\(403\) | −31.7470 | − | 26.6389i | −1.58143 | − | 1.32698i | ||||
\(404\) | −4.89518 | − | 16.6976i | −0.243545 | − | 0.830738i | ||||
\(405\) | −1.07903 | − | 4.46286i | −0.0536174 | − | 0.221761i | ||||
\(406\) | −1.37332 | + | 1.83374i | −0.0681570 | + | 0.0910069i | ||||
\(407\) | −8.77836 | − | 7.36592i | −0.435127 | − | 0.365115i | ||||
\(408\) | 5.19913 | + | 28.3082i | 0.257395 | + | 1.40146i | ||||
\(409\) | 0.375248 | + | 2.12813i | 0.0185548 | + | 0.105229i | 0.992679 | − | 0.120785i | \(-0.0385413\pi\) |
−0.974124 | + | 0.226015i | \(0.927430\pi\) | |||||||
\(410\) | −1.89554 | + | 1.23898i | −0.0936142 | + | 0.0611887i | ||||
\(411\) | −30.6813 | − | 4.91543i | −1.51340 | − | 0.242460i | ||||
\(412\) | −0.211134 | − | 1.90046i | −0.0104018 | − | 0.0936289i | ||||
\(413\) | −1.26226 | + | 2.18630i | −0.0621118 | + | 0.107581i | ||||
\(414\) | 1.64212 | − | 18.6411i | 0.0807060 | − | 0.916162i | ||||
\(415\) | −0.993693 | + | 0.573709i | −0.0487785 | + | 0.0281623i | ||||
\(416\) | −9.16222 | − | 32.2745i | −0.449215 | − | 1.58239i | ||||
\(417\) | −3.22655 | + | 2.79473i | −0.158005 | + | 0.136858i | ||||
\(418\) | −0.506295 | − | 9.14255i | −0.0247637 | − | 0.447177i | ||||
\(419\) | 18.8142 | + | 22.4219i | 0.919134 | + | 1.09538i | 0.995159 | + | 0.0982753i | \(0.0313326\pi\) |
−0.0760253 | + | 0.997106i | \(0.524223\pi\) | |||||||
\(420\) | −1.34018 | − | 2.60353i | −0.0653940 | − | 0.127039i | ||||
\(421\) | 3.99170 | + | 10.9671i | 0.194544 | + | 0.534504i | 0.998159 | − | 0.0606441i | \(-0.0193155\pi\) |
−0.803616 | + | 0.595148i | \(0.797093\pi\) | |||||||
\(422\) | −1.76477 | + | 14.7335i | −0.0859077 | + | 0.717215i | ||||
\(423\) | 0.159589 | + | 0.125602i | 0.00775949 | + | 0.00610698i | ||||
\(424\) | −10.4952 | − | 12.7276i | −0.509693 | − | 0.618108i | ||||
\(425\) | −27.4230 | − | 4.83542i | −1.33021 | − | 0.234552i | ||||
\(426\) | −38.7066 | − | 11.0494i | −1.87534 | − | 0.535347i | ||||
\(427\) | 16.8903 | + | 6.14758i | 0.817381 | + | 0.297502i | ||||
\(428\) | 12.8609 | + | 25.9771i | 0.621656 | + | 1.25565i | ||||
\(429\) | 17.3273 | − | 0.271602i | 0.836572 | − | 0.0131131i | ||||
\(430\) | −0.144494 | − | 0.617524i | −0.00696814 | − | 0.0297797i | ||||
\(431\) | −20.3897 | −0.982136 | −0.491068 | − | 0.871121i | \(-0.663393\pi\) | ||||
−0.491068 | + | 0.871121i | \(0.663393\pi\) | |||||||
\(432\) | −11.8105 | + | 17.1030i | −0.568234 | + | 0.822867i | ||||
\(433\) | −38.5969 | −1.85485 | −0.927424 | − | 0.374013i | \(-0.877982\pi\) | ||||
−0.927424 | + | 0.374013i | \(0.877982\pi\) | |||||||
\(434\) | 3.73056 | + | 15.9433i | 0.179073 | + | 0.765302i | ||||
\(435\) | 0.420179 | − | 0.754852i | 0.0201460 | − | 0.0361924i | ||||
\(436\) | 15.4955 | + | 31.2986i | 0.742101 | + | 1.49893i | ||||
\(437\) | 15.9077 | + | 5.78994i | 0.760970 | + | 0.276970i | ||||
\(438\) | −0.774792 | − | 3.09195i | −0.0370210 | − | 0.147739i | ||||
\(439\) | 33.3328 | + | 5.87748i | 1.59089 | + | 0.280517i | 0.897823 | − | 0.440357i | \(-0.145148\pi\) |
0.693066 | + | 0.720874i | \(0.256259\pi\) | |||||||
\(440\) | 1.87807 | − | 1.54866i | 0.0895335 | − | 0.0738295i | ||||
\(441\) | 9.51566 | − | 8.50680i | 0.453127 | − | 0.405086i | ||||
\(442\) | 5.86042 | − | 48.9268i | 0.278752 | − | 2.32721i | ||||
\(443\) | −2.99923 | − | 8.24032i | −0.142498 | − | 0.391509i | 0.847828 | − | 0.530271i | \(-0.177910\pi\) |
−0.990326 | + | 0.138762i | \(0.955688\pi\) | |||||||
\(444\) | −23.5037 | − | 1.13415i | −1.11543 | − | 0.0538243i | ||||
\(445\) | 4.27668 | + | 5.09675i | 0.202734 | + | 0.241609i | ||||
\(446\) | −1.33591 | − | 24.1236i | −0.0632574 | − | 1.14229i | ||||
\(447\) | 7.58954 | + | 2.62841i | 0.358973 | + | 0.124319i | ||||
\(448\) | −4.74642 | + | 12.3765i | −0.224247 | + | 0.584735i | ||||
\(449\) | 23.7529 | − | 13.7138i | 1.12097 | − | 0.647193i | 0.179322 | − | 0.983790i | \(-0.442610\pi\) |
0.941648 | + | 0.336598i | \(0.109276\pi\) | |||||||
\(450\) | −11.5242 | − | 16.4792i | −0.543256 | − | 0.776838i | ||||
\(451\) | −2.64751 | + | 4.58561i | −0.124666 | + | 0.215928i | ||||
\(452\) | −0.407376 | − | 3.66686i | −0.0191613 | − | 0.172475i | ||||
\(453\) | −5.79010 | + | 7.12422i | −0.272043 | + | 0.334725i | ||||
\(454\) | −4.25318 | + | 2.77999i | −0.199611 | + | 0.130471i | ||||
\(455\) | 0.870556 | + | 4.93717i | 0.0408123 | + | 0.231458i | ||||
\(456\) | −12.1880 | − | 14.3172i | −0.570754 | − | 0.670466i | ||||
\(457\) | 9.51099 | + | 7.98067i | 0.444905 | + | 0.373320i | 0.837541 | − | 0.546374i | \(-0.183992\pi\) |
−0.392636 | + | 0.919694i | \(0.628437\pi\) | |||||||
\(458\) | 1.36325 | − | 1.82029i | 0.0637007 | − | 0.0850566i | ||||
\(459\) | −25.6910 | + | 16.4896i | −1.19915 | + | 0.769666i | ||||
\(460\) | 1.26608 | + | 4.31866i | 0.0590315 | + | 0.201358i | ||||
\(461\) | −10.2480 | − | 8.59913i | −0.477299 | − | 0.400502i | 0.372150 | − | 0.928173i | \(-0.378621\pi\) |
−0.849449 | + | 0.527671i | \(0.823065\pi\) | |||||||
\(462\) | −5.54395 | − | 4.01792i | −0.257928 | − | 0.186930i | ||||
\(463\) | 23.4427 | − | 4.13359i | 1.08948 | − | 0.192104i | 0.400074 | − | 0.916483i | \(-0.368984\pi\) |
0.689402 | + | 0.724379i | \(0.257873\pi\) | |||||||
\(464\) | −3.81542 | + | 0.858353i | −0.177126 | + | 0.0398481i | ||||
\(465\) | −2.20248 | − | 5.76832i | −0.102138 | − | 0.267500i | ||||
\(466\) | 9.70222 | + | 10.3428i | 0.449447 | + | 0.479120i | ||||
\(467\) | −24.0938 | − | 13.9106i | −1.11493 | − | 0.643704i | −0.174827 | − | 0.984599i | \(-0.555937\pi\) |
−0.940101 | + | 0.340895i | \(0.889270\pi\) | |||||||
\(468\) | 27.9894 | − | 21.9745i | 1.29381 | − | 1.01577i | ||||
\(469\) | −13.2212 | + | 7.63324i | −0.610496 | + | 0.352470i | ||||
\(470\) | −0.0467490 | − | 0.0141414i | −0.00215637 | − | 0.000652292i | ||||
\(471\) | −30.0656 | + | 5.78865i | −1.38535 | + | 0.266727i | ||||
\(472\) | −4.06202 | + | 1.43916i | −0.186970 | + | 0.0662427i | ||||
\(473\) | −0.953199 | − | 1.13598i | −0.0438281 | − | 0.0522323i | ||||
\(474\) | −0.990188 | − | 13.9239i | −0.0454809 | − | 0.639545i | ||||
\(475\) | 17.0941 | − | 6.22176i | 0.784333 | − | 0.285474i | ||||
\(476\) | −13.4411 | + | 14.0847i | −0.616073 | + | 0.645571i | ||||
\(477\) | 8.26949 | − | 15.4200i | 0.378634 | − | 0.706032i | ||||
\(478\) | −14.0074 | + | 5.99481i | −0.640684 | + | 0.274196i | ||||
\(479\) | 4.28076 | − | 24.2774i | 0.195593 | − | 1.10926i | −0.715979 | − | 0.698122i | \(-0.754019\pi\) |
0.911572 | − | 0.411141i | \(-0.134869\pi\) | |||||||
\(480\) | 1.14597 | − | 4.86541i | 0.0523062 | − | 0.222074i | ||||
\(481\) | 37.8574 | + | 13.7790i | 1.72615 | + | 0.628266i | ||||
\(482\) | 0.939201 | − | 1.85686i | 0.0427794 | − | 0.0845776i | ||||
\(483\) | 10.8620 | − | 6.50025i | 0.494237 | − | 0.295771i | ||||
\(484\) | −6.54479 | + | 14.9373i | −0.297490 | + | 0.678969i | ||||
\(485\) | 7.55575 | 0.343089 | ||||||||
\(486\) | −21.5361 | − | 4.71145i | −0.976896 | − | 0.213716i | ||||
\(487\) | 27.8176i | 1.26054i | 0.776377 | + | 0.630268i | \(0.217055\pi\) | ||||
−0.776377 | + | 0.630268i | \(0.782945\pi\) | |||||||
\(488\) | 15.1131 | + | 26.7025i | 0.684138 | + | 1.20876i | ||||
\(489\) | 18.7090 | + | 31.2629i | 0.846051 | + | 1.41376i | ||||
\(490\) | −1.38546 | + | 2.73914i | −0.0625886 | + | 0.123742i | ||||
\(491\) | −9.82839 | + | 27.0033i | −0.443549 | + | 1.21864i | 0.493593 | + | 0.869693i | \(0.335683\pi\) |
−0.937142 | + | 0.348948i | \(0.886539\pi\) | |||||||
\(492\) | 1.36978 | + | 10.7863i | 0.0617546 | + | 0.486285i | ||||
\(493\) | −5.65672 | − | 0.997432i | −0.254766 | − | 0.0449221i | ||||
\(494\) | 12.6658 | + | 29.5948i | 0.569862 | + | 1.33153i | ||||
\(495\) | 2.27535 | + | 1.22023i | 0.102269 | + | 0.0548454i | ||||
\(496\) | −12.8288 | + | 24.8328i | −0.576031 | + | 1.11502i | ||||
\(497\) | −9.31271 | − | 25.5865i | −0.417732 | − | 1.14771i | ||||
\(498\) | 0.390797 | + | 5.49533i | 0.0175120 | + | 0.246252i | ||||
\(499\) | 9.51361 | − | 7.98287i | 0.425888 | − | 0.357362i | −0.404510 | − | 0.914534i | \(-0.632558\pi\) |
0.830398 | + | 0.557171i | \(0.188113\pi\) | |||||||
\(500\) | 8.27148 | + | 5.50818i | 0.369912 | + | 0.246333i | ||||
\(501\) | 5.66576 | + | 29.4273i | 0.253127 | + | 1.31472i | ||||
\(502\) | −2.28182 | + | 7.54331i | −0.101842 | + | 0.336674i | ||||
\(503\) | 4.48697 | + | 7.77165i | 0.200064 | + | 0.346521i | 0.948549 | − | 0.316631i | \(-0.102552\pi\) |
−0.748485 | + | 0.663152i | \(0.769218\pi\) | |||||||
\(504\) | −14.0559 | + | 0.320222i | −0.626098 | + | 0.0142638i | ||||
\(505\) | −2.21925 | + | 3.84386i | −0.0987555 | + | 0.171050i | ||||
\(506\) | 7.19943 | + | 7.67475i | 0.320054 | + | 0.341184i | ||||
\(507\) | −35.8810 | + | 13.7002i | −1.59353 | + | 0.608448i | ||||
\(508\) | 22.7720 | + | 1.45689i | 1.01034 | + | 0.0646389i | ||||
\(509\) | −6.33516 | − | 35.9285i | −0.280801 | − | 1.59250i | −0.719909 | − | 0.694068i | \(-0.755817\pi\) |
0.439108 | − | 0.898434i | \(-0.355294\pi\) | |||||||
\(510\) | 4.30829 | − | 5.94461i | 0.190774 | − | 0.263232i | ||||
\(511\) | 1.38597 | − | 1.65173i | 0.0613115 | − | 0.0730682i | ||||
\(512\) | −19.8802 | + | 10.8063i | −0.878591 | + | 0.477575i | ||||
\(513\) | 9.14866 | − | 17.7207i | 0.403923 | − | 0.782388i | ||||
\(514\) | −6.80791 | + | 9.09028i | −0.300284 | + | 0.400955i | ||||
\(515\) | −0.313522 | + | 0.373641i | −0.0138154 | + | 0.0164646i | ||||
\(516\) | −2.96984 | − | 0.672692i | −0.130740 | − | 0.0296136i | ||||
\(517\) | −0.112467 | + | 0.0198309i | −0.00494627 | + | 0.000872161i | ||||
\(518\) | −8.70867 | − | 13.3236i | −0.382637 | − | 0.585406i | ||||
\(519\) | −32.8685 | − | 26.7134i | −1.44277 | − | 1.17259i | ||||
\(520\) | −4.34230 | + | 7.37443i | −0.190423 | + | 0.323390i | ||||
\(521\) | −27.3231 | − | 15.7750i | −1.19705 | − | 0.691115i | −0.237151 | − | 0.971473i | \(-0.576214\pi\) |
−0.959896 | + | 0.280358i | \(0.909547\pi\) | |||||||
\(522\) | −2.37717 | − | 3.39927i | −0.104046 | − | 0.148782i | ||||
\(523\) | 7.07743 | + | 12.2585i | 0.309475 | + | 0.536026i | 0.978248 | − | 0.207441i | \(-0.0665135\pi\) |
−0.668773 | + | 0.743467i | \(0.733180\pi\) | |||||||
\(524\) | 6.09753 | − | 4.48554i | 0.266372 | − | 0.195952i | ||||
\(525\) | 4.45142 | − | 12.8535i | 0.194276 | − | 0.560973i | ||||
\(526\) | 40.7326 | − | 2.25569i | 1.77603 | − | 0.0983526i | ||||
\(527\) | −31.4483 | + | 26.3883i | −1.36991 | + | 1.14949i | ||||
\(528\) | −2.74367 | − | 11.3611i | −0.119403 | − | 0.494430i | ||||
\(529\) | 3.33127 | − | 1.21248i | 0.144838 | − | 0.0527166i | ||||
\(530\) | −0.500455 | + | 4.17814i | −0.0217384 | + | 0.181487i | ||||
\(531\) | −3.04638 | − | 3.40766i | −0.132202 | − | 0.147880i | ||||
\(532\) | 3.00377 | − | 12.3589i | 0.130230 | − | 0.535825i | ||||
\(533\) | 3.23253 | − | 18.3326i | 0.140016 | − | 0.794072i | ||||
\(534\) | 30.9872 | − | 7.76489i | 1.34095 | − | 0.336020i | ||||
\(535\) | 2.52886 | − | 6.94799i | 0.109332 | − | 0.300388i | ||||
\(536\) | −25.6247 | − | 4.74507i | −1.10682 | − | 0.204956i | ||||
\(537\) | −19.4504 | − | 10.8268i | −0.839346 | − | 0.467212i | ||||
\(538\) | −1.07202 | − | 4.58147i | −0.0462179 | − | 0.197521i | ||||
\(539\) | 7.17740i | 0.309152i | ||||||||
\(540\) | 5.23600 | − | 0.832433i | 0.225321 | − | 0.0358222i | ||||
\(541\) | − | 9.11080i | − | 0.391704i | −0.980633 | − | 0.195852i | \(-0.937253\pi\) | ||
0.980633 | − | 0.195852i | \(-0.0627472\pi\) | |||||||
\(542\) | 29.5072 | − | 6.90437i | 1.26744 | − | 0.296568i | ||||
\(543\) | 0.173633 | + | 11.0772i | 0.00745130 | + | 0.475370i | ||||
\(544\) | −33.0612 | + | 3.38646i | −1.41749 | + | 0.145193i | ||||
\(545\) | 3.04690 | − | 8.37130i | 0.130515 | − | 0.358587i | ||||
\(546\) | 23.1464 | + | 6.60752i | 0.990573 | + | 0.282776i | ||||
\(547\) | 4.50829 | − | 25.5678i | 0.192761 | − | 1.09320i | −0.722811 | − | 0.691045i | \(-0.757150\pi\) |
0.915572 | − | 0.402154i | \(-0.131738\pi\) | |||||||
\(548\) | 8.47368 | − | 34.8645i | 0.361978 | − | 1.48934i | ||||
\(549\) | −20.1272 | + | 25.5735i | −0.859008 | + | 1.09145i | ||||
\(550\) | 11.2276 | + | 1.34483i | 0.478745 | + | 0.0573438i | ||||
\(551\) | 3.52612 | − | 1.28340i | 0.150218 | − | 0.0546747i | ||||
\(552\) | 21.3061 | + | 3.60096i | 0.906850 | + | 0.153267i | ||||
\(553\) | 7.23333 | − | 6.06948i | 0.307592 | − | 0.258101i | ||||
\(554\) | 1.59486 | + | 28.7996i | 0.0677592 | + | 1.22358i | ||||
\(555\) | 3.92980 | + | 4.53700i | 0.166811 | + | 0.192585i | ||||
\(556\) | −2.92075 | − | 3.97039i | −0.123867 | − | 0.168382i | ||||
\(557\) | 16.1779 | + | 28.0210i | 0.685481 | + | 1.18729i | 0.973285 | + | 0.229598i | \(0.0737413\pi\) |
−0.287805 | + | 0.957689i | \(0.592925\pi\) | |||||||
\(558\) | −29.5319 | − | 2.60151i | −1.25018 | − | 0.110131i | ||||
\(559\) | 4.51494 | + | 2.60670i | 0.190962 | + | 0.110252i | ||||
\(560\) | 3.11978 | − | 1.30367i | 0.131835 | − | 0.0550901i | ||||
\(561\) | 2.71560 | − | 16.9503i | 0.114653 | − | 0.715642i | ||||
\(562\) | 11.9948 | − | 7.84011i | 0.505969 | − | 0.330715i | ||||
\(563\) | −7.33135 | + | 1.29271i | −0.308980 | + | 0.0544814i | −0.325988 | − | 0.945374i | \(-0.605697\pi\) |
0.0170084 | + | 0.999855i | \(0.494586\pi\) | |||||||
\(564\) | −0.159220 | + | 0.172168i | −0.00670438 | + | 0.00724956i | ||||
\(565\) | −0.604928 | + | 0.720925i | −0.0254495 | + | 0.0303296i | ||||
\(566\) | 10.7866 | + | 8.07829i | 0.453393 | + | 0.339556i | ||||
\(567\) | −5.96827 | − | 13.6660i | −0.250644 | − | 0.573916i | ||||
\(568\) | 16.2707 | − | 43.5390i | 0.682705 | − | 1.82686i | ||||
\(569\) | −10.1877 | + | 12.1413i | −0.427091 | + | 0.508988i | −0.936081 | − | 0.351785i | \(-0.885575\pi\) |
0.508989 | + | 0.860773i | \(0.330019\pi\) | |||||||
\(570\) | −0.495695 | + | 4.77044i | −0.0207624 | + | 0.199812i | ||||
\(571\) | 5.66390 | + | 32.1216i | 0.237027 | + | 1.34425i | 0.838303 | + | 0.545204i | \(0.183548\pi\) |
−0.601276 | + | 0.799041i | \(0.705341\pi\) | |||||||
\(572\) | −1.27759 | + | 19.9695i | −0.0534189 | + | 0.834967i | ||||
\(573\) | −6.43565 | + | 40.1702i | −0.268853 | + | 1.67814i | ||||
\(574\) | −5.36415 | + | 5.03193i | −0.223895 | + | 0.210029i | ||||
\(575\) | −10.4530 | + | 18.1050i | −0.435918 | + | 0.755033i | ||||
\(576\) | −18.6024 | − | 15.1641i | −0.775100 | − | 0.631838i | ||||
\(577\) | −4.95348 | − | 8.57967i | −0.206216 | − | 0.357176i | 0.744304 | − | 0.667841i | \(-0.232782\pi\) |
−0.950519 | + | 0.310665i | \(0.899448\pi\) | |||||||
\(578\) | −23.7103 | − | 7.17224i | −0.986217 | − | 0.298326i | ||||
\(579\) | 14.1703 | − | 12.2738i | 0.588898 | − | 0.510084i | ||||
\(580\) | 0.830308 | + | 0.552923i | 0.0344767 | + | 0.0229589i | ||||
\(581\) | −2.85477 | + | 2.39544i | −0.118436 | + | 0.0993796i | ||||
\(582\) | 15.8648 | − | 32.6254i | 0.657616 | − | 1.35237i | ||||
\(583\) | 3.36523 | + | 9.24588i | 0.139373 | + | 0.382925i | ||||
\(584\) | 3.63009 | − | 0.608058i | 0.150214 | − | 0.0251616i | ||||
\(585\) | −8.98414 | − | 1.29527i | −0.371449 | − | 0.0535527i | ||||
\(586\) | −28.5726 | + | 12.2284i | −1.18032 | + | 0.505149i | ||||
\(587\) | 37.8187 | + | 6.66846i | 1.56095 | + | 0.275237i | 0.886373 | − | 0.462971i | \(-0.153217\pi\) |
0.674573 | + | 0.738208i | \(0.264328\pi\) | |||||||
\(588\) | 8.91843 | + | 11.7337i | 0.367790 | + | 0.483889i | ||||
\(589\) | 9.17260 | − | 25.2015i | 0.377951 | − | 1.03841i | ||||
\(590\) | 0.980916 | + | 0.496148i | 0.0403837 | + | 0.0204261i | ||||
\(591\) | −38.6395 | + | 0.605665i | −1.58942 | + | 0.0249137i | ||||
\(592\) | 3.46251 | − | 26.9497i | 0.142308 | − | 1.10763i | ||||
\(593\) | 46.0294i | 1.89020i | 0.326782 | + | 0.945100i | \(0.394036\pi\) | ||||
−0.326782 | + | 0.945100i | \(0.605964\pi\) | |||||||
\(594\) | 10.0465 | − | 7.26274i | 0.412211 | − | 0.297994i | ||||
\(595\) | 4.96617 | 0.203593 | ||||||||
\(596\) | −3.72195 | + | 8.49470i | −0.152457 | + | 0.347956i | ||||
\(597\) | 1.86144 | + | 1.03615i | 0.0761838 | + | 0.0424068i | ||||
\(598\) | −33.0125 | − | 16.6978i | −1.34998 | − | 0.682822i | ||||
\(599\) | −17.8974 | − | 6.51412i | −0.731268 | − | 0.266160i | −0.0505667 | − | 0.998721i | \(-0.516103\pi\) |
−0.680702 | + | 0.732561i | \(0.738325\pi\) | |||||||
\(600\) | 20.0260 | − | 11.7525i | 0.817558 | − | 0.479794i | ||||
\(601\) | −3.92238 | + | 22.2449i | −0.159997 | + | 0.907389i | 0.794077 | + | 0.607818i | \(0.207955\pi\) |
−0.954074 | + | 0.299572i | \(0.903156\pi\) | |||||||
\(602\) | −0.810440 | − | 1.89367i | −0.0330311 | − | 0.0771800i | ||||
\(603\) | −5.65064 | − | 27.0574i | −0.230112 | − | 1.10186i | ||||
\(604\) | −7.66892 | − | 7.31851i | −0.312044 | − | 0.297786i | ||||
\(605\) | 3.90904 | − | 1.42277i | 0.158925 | − | 0.0578440i | ||||
\(606\) | 11.9379 | + | 17.6536i | 0.484942 | + | 0.717127i | ||||
\(607\) | 8.73413 | + | 10.4089i | 0.354508 | + | 0.422486i | 0.913596 | − | 0.406622i | \(-0.133293\pi\) |
−0.559089 | + | 0.829108i | \(0.688849\pi\) | |||||||
\(608\) | 17.5984 | − | 12.7150i | 0.713708 | − | 0.515660i | ||||
\(609\) | 0.918223 | − | 2.65137i | 0.0372083 | − | 0.107439i | ||||
\(610\) | 2.26609 | − | 7.49133i | 0.0917514 | − | 0.303315i | ||||
\(611\) | 0.347702 | − | 0.200746i | 0.0140665 | − | 0.00812131i | ||||
\(612\) | −16.6225 | − | 31.0849i | −0.671923 | − | 1.25653i | ||||
\(613\) | 25.2780 | + | 14.5943i | 1.02097 | + | 0.589457i | 0.914384 | − | 0.404847i | \(-0.132675\pi\) |
0.106584 | + | 0.994304i | \(0.466009\pi\) | |||||||
\(614\) | −27.6617 | + | 25.9485i | −1.11633 | + | 1.04720i | ||||
\(615\) | 1.74924 | − | 2.15229i | 0.0705363 | − | 0.0867888i | ||||
\(616\) | 5.13361 | − | 6.01261i | 0.206839 | − | 0.242255i | ||||
\(617\) | 9.44021 | − | 1.66456i | 0.380048 | − | 0.0670128i | 0.0196393 | − | 0.999807i | \(-0.493748\pi\) |
0.360409 | + | 0.932794i | \(0.382637\pi\) | |||||||
\(618\) | 0.955063 | + | 2.13830i | 0.0384183 | + | 0.0860151i | ||||
\(619\) | 21.0382 | + | 17.6531i | 0.845596 | + | 0.709539i | 0.958815 | − | 0.284031i | \(-0.0916717\pi\) |
−0.113219 | + | 0.993570i | \(0.536116\pi\) | |||||||
\(620\) | 6.84175 | − | 2.00577i | 0.274771 | − | 0.0805537i | ||||
\(621\) | 5.03636 | + | 22.3589i | 0.202102 | + | 0.897230i | ||||
\(622\) | 27.3133 | + | 20.4555i | 1.09516 | + | 0.820192i | ||||
\(623\) | 16.5535 | + | 13.8900i | 0.663201 | + | 0.556492i | ||||
\(624\) | 22.7249 | + | 34.2339i | 0.909725 | + | 1.37045i | ||||
\(625\) | 3.67505 | + | 20.8422i | 0.147002 | + | 0.833690i | ||||
\(626\) | 13.6434 | + | 20.8734i | 0.545301 | + | 0.834270i | ||||
\(627\) | 4.00026 | + | 10.4767i | 0.159755 | + | 0.418400i | ||||
\(628\) | −3.90373 | − | 35.1382i | −0.155776 | − | 1.40217i | ||||
\(629\) | 19.9540 | − | 34.5613i | 0.795618 | − | 1.37805i | ||||
\(630\) | 2.53439 | + | 2.53742i | 0.100972 | + | 0.101093i | ||||
\(631\) | 29.5141 | − | 17.0400i | 1.17494 | − | 0.678350i | 0.220099 | − | 0.975477i | \(-0.429362\pi\) |
0.954838 | + | 0.297127i | \(0.0960285\pi\) | |||||||
\(632\) | 16.1179 | + | 0.138114i | 0.641137 | + | 0.00549389i | ||||
\(633\) | −3.43596 | − | 17.8460i | −0.136567 | − | 0.709314i | ||||
\(634\) | −5.37704 | + | 0.297769i | −0.213549 | + | 0.0118259i | ||||
\(635\) | −3.74139 | − | 4.45881i | −0.148472 | − | 0.176943i | ||||
\(636\) | 16.9902 | + | 10.9337i | 0.673705 | + | 0.433551i | ||||
\(637\) | −8.63026 | − | 23.7114i | −0.341943 | − | 0.939481i | ||||
\(638\) | 2.31598 | + | 0.277407i | 0.0916905 | + | 0.0109826i | ||||
\(639\) | 49.2752 | − | 1.54513i | 1.94930 | − | 0.0611245i | ||||
\(640\) | 5.49514 | + | 1.76559i | 0.217215 | + | 0.0697911i | ||||
\(641\) | −5.60146 | − | 0.987689i | −0.221244 | − | 0.0390114i | 0.0619270 | − | 0.998081i | \(-0.480275\pi\) |
−0.283171 | + | 0.959069i | \(0.591387\pi\) | |||||||
\(642\) | −24.6912 | − | 25.5081i | −0.974486 | − | 1.00673i | ||||
\(643\) | −12.5515 | − | 4.56839i | −0.494984 | − | 0.180160i | 0.0824524 | − | 0.996595i | \(-0.473725\pi\) |
−0.577437 | + | 0.816435i | \(0.695947\pi\) | |||||||
\(644\) | 6.48523 | + | 13.0992i | 0.255554 | + | 0.516181i | ||||
\(645\) | 0.398864 | + | 0.666506i | 0.0157053 | + | 0.0262436i | ||||
\(646\) | 31.0497 | − | 7.26531i | 1.22163 | − | 0.285850i | ||||
\(647\) | 9.31643 | 0.366267 | 0.183133 | − | 0.983088i | \(-0.441376\pi\) | ||||
0.183133 | + | 0.983088i | \(0.441376\pi\) | |||||||
\(648\) | 7.39958 | − | 24.3566i | 0.290683 | − | 0.956819i | ||||
\(649\) | 2.57031 | 0.100893 | ||||||||
\(650\) | −38.7087 | + | 9.05744i | −1.51828 | + | 0.355262i | ||||
\(651\) | −10.2979 | − | 17.2079i | −0.403606 | − | 0.674430i | ||||
\(652\) | −37.7021 | + | 18.6658i | −1.47653 | + | 0.731009i | ||||
\(653\) | −0.849632 | − | 0.309241i | −0.0332487 | − | 0.0121015i | 0.325342 | − | 0.945596i | \(-0.394520\pi\) |
−0.358591 | + | 0.933495i | \(0.616743\pi\) | |||||||
\(654\) | −29.7493 | − | 30.7336i | −1.16329 | − | 1.20178i | ||||
\(655\) | −1.90154 | − | 0.335294i | −0.0742995 | − | 0.0131010i | ||||
\(656\) | −12.5413 | + | 0.586766i | −0.489655 | + | 0.0229094i | ||||
\(657\) | 2.05697 | + | 3.31807i | 0.0802501 | + | 0.129450i | ||||
\(658\) | −0.157503 | − | 0.0188656i | −0.00614009 | − | 0.000735457i | ||||
\(659\) | 0.880523 | + | 2.41922i | 0.0343003 | + | 0.0942394i | 0.955661 | − | 0.294470i | \(-0.0951432\pi\) |
−0.921360 | + | 0.388710i | \(0.872921\pi\) | |||||||
\(660\) | −1.61337 | + | 2.50705i | −0.0628003 | + | 0.0975867i | ||||
\(661\) | 13.7378 | + | 16.3720i | 0.534337 | + | 0.636798i | 0.963908 | − | 0.266235i | \(-0.0857796\pi\) |
−0.429571 | + | 0.903033i | \(0.641335\pi\) | |||||||
\(662\) | 41.2665 | − | 2.28525i | 1.60387 | − | 0.0888188i | ||||
\(663\) | 11.4101 | + | 59.2627i | 0.443131 | + | 2.30157i | ||||
\(664\) | −6.36126 | − | 0.0545095i | −0.246865 | − | 0.00211538i | ||||
\(665\) | −2.80963 | + | 1.62214i | −0.108953 | + | 0.0629040i | ||||
\(666\) | 27.8419 | − | 7.44238i | 1.07885 | − | 0.288386i | ||||
\(667\) | −2.15620 | + | 3.73464i | −0.0834882 | + | 0.144606i | ||||
\(668\) | −34.3922 | + | 3.82086i | −1.33068 | + | 0.147833i | ||||
\(669\) | 10.5551 | + | 27.6440i | 0.408084 | + | 1.06878i | ||||
\(670\) | 3.63698 | + | 5.56431i | 0.140509 | + | 0.214968i | ||||
\(671\) | −3.17782 | − | 18.0223i | −0.122678 | − | 0.695743i | ||||
\(672\) | 0.921390 | − | 16.2084i | 0.0355434 | − | 0.625251i | ||||
\(673\) | 3.15078 | + | 2.64382i | 0.121454 | + | 0.101912i | 0.701492 | − | 0.712678i | \(-0.252518\pi\) |
−0.580038 | + | 0.814590i | \(0.696962\pi\) | |||||||
\(674\) | −14.0286 | − | 10.5063i | −0.540360 | − | 0.404687i | ||||
\(675\) | 19.5897 | + | 14.9265i | 0.754007 | + | 0.574523i | ||||
\(676\) | −12.4766 | − | 42.5581i | −0.479870 | − | 1.63685i | ||||
\(677\) | −19.3668 | − | 16.2506i | −0.744325 | − | 0.624563i | 0.189670 | − | 0.981848i | \(-0.439258\pi\) |
−0.933995 | + | 0.357285i | \(0.883702\pi\) | |||||||
\(678\) | 1.84276 | + | 4.12577i | 0.0707707 | + | 0.158449i | ||||
\(679\) | 24.1671 | − | 4.26132i | 0.927450 | − | 0.163534i | ||||
\(680\) | 6.44714 | + | 5.50461i | 0.247236 | + | 0.211092i | ||||
\(681\) | 3.92491 | − | 4.82926i | 0.150403 | − | 0.185058i | ||||
\(682\) | 12.1586 | − | 11.4056i | 0.465576 | − | 0.436742i | ||||
\(683\) | 18.2431 | + | 10.5327i | 0.698053 | + | 0.403021i | 0.806622 | − | 0.591068i | \(-0.201293\pi\) |
−0.108569 | + | 0.994089i | \(0.534627\pi\) | |||||||
\(684\) | 19.5577 | + | 12.1569i | 0.747809 | + | 0.464829i | ||||
\(685\) | −7.92601 | + | 4.57608i | −0.302837 | + | 0.174843i | ||||
\(686\) | −7.63580 | + | 25.2427i | −0.291536 | + | 0.963771i | ||||
\(687\) | −0.911489 | + | 2.63193i | −0.0347755 | + | 0.100414i | ||||
\(688\) | 1.04686 | − | 3.35669i | 0.0399111 | − | 0.127972i | ||||
\(689\) | −22.2349 | − | 26.4985i | −0.847082 | − | 1.00951i | ||||
\(690\) | −3.08759 | − | 4.56590i | −0.117543 | − | 0.173821i | ||||
\(691\) | −11.4191 | + | 4.15621i | −0.434403 | + | 0.158110i | −0.549960 | − | 0.835191i | \(-0.685357\pi\) |
0.115557 | + | 0.993301i | \(0.463135\pi\) | |||||||
\(692\) | 33.7649 | − | 35.3816i | 1.28355 | − | 1.34501i | ||||
\(693\) | 7.96592 | + | 2.61967i | 0.302600 | + | 0.0995130i | ||||
\(694\) | −16.6175 | − | 38.8283i | −0.630792 | − | 1.47390i | ||||
\(695\) | −0.218326 | + | 1.23819i | −0.00828156 | + | 0.0469671i | ||||
\(696\) | 4.13089 | − | 2.42426i | 0.156581 | − | 0.0918915i | ||||
\(697\) | −17.3282 | − | 6.30694i | −0.656352 | − | 0.238892i | ||||
\(698\) | 12.0481 | + | 6.09394i | 0.456028 | + | 0.230659i | ||||
\(699\) | −15.1757 | − | 8.44736i | −0.573997 | − | 0.319509i | ||||
\(700\) | 14.3865 | + | 6.30344i | 0.543758 | + | 0.238247i | ||||
\(701\) | −1.58337 | −0.0598031 | −0.0299015 | − | 0.999553i | \(-0.509519\pi\) | ||||
−0.0299015 | + | 0.999553i | \(0.509519\pi\) | |||||||
\(702\) | −24.4569 | + | 36.0734i | −0.923064 | + | 1.36150i | ||||
\(703\) | 26.0710i | 0.983285i | ||||||||
\(704\) | 13.3290 | − | 2.11542i | 0.502356 | − | 0.0797280i | ||||
\(705\) | 0.0598105 | 0.000937515i | 0.00225259 | 3.53088e-5i | ||||||
\(706\) | −22.0827 | − | 11.1694i | −0.831093 | − | 0.420368i | ||||
\(707\) | −4.93043 | + | 13.5462i | −0.185428 | + | 0.509459i | ||||
\(708\) | 4.20197 | − | 3.19379i | 0.157920 | − | 0.120030i | ||||
\(709\) | −12.4085 | − | 2.18796i | −0.466012 | − | 0.0821706i | −0.0642885 | − | 0.997931i | \(-0.520478\pi\) |
−0.401724 | + | 0.915761i | \(0.631589\pi\) | |||||||
\(710\) | −10.8999 | + | 4.66486i | −0.409065 | + | 0.175069i | ||||
\(711\) | 6.34791 | + | 15.8741i | 0.238065 | + | 0.595325i | ||||
\(712\) | 6.09390 | + | 36.3804i | 0.228378 | + | 1.36341i | ||||
\(713\) | 10.5414 | + | 28.9624i | 0.394780 | + | 1.08465i | ||||
\(714\) | 10.4274 | − | 21.4437i | 0.390237 | − | 0.802510i | ||||
\(715\) | 3.91009 | − | 3.28095i | 0.146229 | − | 0.122701i | ||||
\(716\) | 14.2472 | − | 21.3947i | 0.532445 | − | 0.799556i | ||||
\(717\) | 14.1051 | − | 12.2174i | 0.526764 | − | 0.456266i | ||||
\(718\) | −21.1503 | − | 6.39786i | −0.789322 | − | 0.238766i | ||||
\(719\) | 4.75877 | + | 8.24242i | 0.177472 | + | 0.307391i | 0.941014 | − | 0.338368i | \(-0.109875\pi\) |
−0.763542 | + | 0.645758i | \(0.776541\pi\) | |||||||
\(720\) | 0.477635 | + | 6.10328i | 0.0178004 | + | 0.227456i | ||||
\(721\) | −0.792075 | + | 1.37191i | −0.0294984 | + | 0.0510927i | ||||
\(722\) | 4.40378 | − | 4.13104i | 0.163892 | − | 0.153742i | ||||
\(723\) | −0.403158 | + | 2.51645i | −0.0149936 | + | 0.0935876i | ||||
\(724\) | −12.7664 | − | 0.816756i | −0.474458 | − | 0.0303545i | ||||
\(725\) | 0.804688 | + | 4.56361i | 0.0298854 | + | 0.169488i | ||||
\(726\) | 2.06431 | − | 19.8664i | 0.0766138 | − | 0.737312i | ||||
\(727\) | 19.7951 | − | 23.5909i | 0.734161 | − | 0.874939i | −0.261763 | − | 0.965132i | \(-0.584304\pi\) |
0.995924 | + | 0.0901927i | \(0.0287483\pi\) | |||||||
\(728\) | −9.72984 | + | 26.0362i | −0.360612 | + | 0.964965i | ||||
\(729\) | 26.8807 | − | 2.53536i | 0.995581 | − | 0.0939023i | ||||
\(730\) | −0.751482 | − | 0.562801i | −0.0278136 | − | 0.0208302i | ||||
\(731\) | 3.31959 | − | 3.95613i | 0.122779 | − | 0.146323i | ||||
\(732\) | −27.5891 | − | 25.5144i | −1.01972 | − | 0.943039i | ||||
\(733\) | 4.98281 | − | 0.878603i | 0.184044 | − | 0.0324519i | −0.0808664 | − | 0.996725i | \(-0.525769\pi\) |
0.264910 | + | 0.964273i | \(0.414658\pi\) | |||||||
\(734\) | −15.8627 | + | 10.3683i | −0.585503 | + | 0.382700i | ||||
\(735\) | 0.594717 | − | 3.71212i | 0.0219365 | − | 0.136924i | ||||
\(736\) | −6.10025 | + | 24.1939i | −0.224858 | + | 0.891799i | ||||
\(737\) | 13.4609 | + | 7.77167i | 0.495840 | + | 0.286273i | ||||
\(738\) | −5.62062 | − | 12.0723i | −0.206898 | − | 0.444388i | ||||
\(739\) | −17.9126 | − | 31.0256i | −0.658926 | − | 1.14129i | −0.980894 | − | 0.194543i | \(-0.937678\pi\) |
0.321968 | − | 0.946751i | \(-0.395656\pi\) | |||||||
\(740\) | −5.58296 | + | 4.10700i | −0.205234 | + | 0.150976i | ||||
\(741\) | −25.8128 | − | 29.8012i | −0.948257 | − | 1.09477i | ||||
\(742\) | 0.755690 | + | 13.6461i | 0.0277422 | + | 0.500962i | ||||
\(743\) | −5.34278 | + | 4.48312i | −0.196007 | + | 0.164470i | −0.735509 | − | 0.677515i | \(-0.763057\pi\) |
0.539502 | + | 0.841984i | \(0.318613\pi\) | |||||||
\(744\) | 5.70475 | − | 33.7539i | 0.209146 | − | 1.23748i | ||||
\(745\) | 2.22303 | − | 0.809117i | 0.0814455 | − | 0.0296437i | ||||
\(746\) | 8.42316 | + | 1.00892i | 0.308394 | + | 0.0369392i | ||||
\(747\) | −2.50533 | − | 6.26502i | −0.0916651 | − | 0.229225i | ||||
\(748\) | 19.2614 | + | 4.68140i | 0.704265 | + | 0.171169i | ||||
\(749\) | 4.17003 | − | 23.6494i | 0.152370 | − | 0.864131i | ||||
\(750\) | −11.7036 | − | 3.34099i | −0.427355 | − | 0.121996i | ||||
\(751\) | 8.84901 | − | 24.3125i | 0.322905 | − | 0.887174i | −0.666951 | − | 0.745101i | \(-0.732401\pi\) |
0.989856 | − | 0.142073i | \(-0.0453767\pi\) | |||||||
\(752\) | −0.183561 | − | 0.199071i | −0.00669376 | − | 0.00725937i | ||||
\(753\) | −0.151275 | − | 9.65088i | −0.00551278 | − | 0.351698i | ||||
\(754\) | −7.98469 | + | 1.86834i | −0.290785 | + | 0.0680408i | ||||
\(755\) | 2.70401i | 0.0984091i | ||||||||
\(756\) | 16.2779 | − | 5.61556i | 0.592022 | − | 0.204236i | ||||
\(757\) | − | 9.14500i | − | 0.332381i | −0.986094 | − | 0.166190i | \(-0.946853\pi\) | ||
0.986094 | − | 0.166190i | \(-0.0531466\pi\) | |||||||
\(758\) | −2.32754 | − | 9.94720i | −0.0845401 | − | 0.361298i | ||||
\(759\) | −11.2610 | − | 6.26827i | −0.408747 | − | 0.227524i | ||||
\(760\) | −5.44552 | − | 1.00838i | −0.197530 | − | 0.0365777i | ||||
\(761\) | −0.416647 | + | 1.14473i | −0.0151034 | + | 0.0414964i | −0.947015 | − | 0.321189i | \(-0.895918\pi\) |
0.931912 | + | 0.362685i | \(0.118140\pi\) | |||||||
\(762\) | −27.1087 | + | 6.79300i | −0.982045 | + | 0.246084i | ||||
\(763\) | 5.02428 | − | 28.4941i | 0.181891 | − | 1.03156i | ||||
\(764\) | −45.6472 | − | 11.0944i | −1.65146 | − | 0.401380i | ||||
\(765\) | −2.80899 | + | 8.54161i | −0.101559 | + | 0.308823i | ||||
\(766\) | 0.553387 | − | 4.62005i | 0.0199947 | − | 0.166929i | ||||
\(767\) | −8.49133 | + | 3.09059i | −0.306604 | + | 0.111595i | ||||
\(768\) | 19.1619 | − | 20.0206i | 0.691444 | − | 0.722430i | ||||
\(769\) | −29.7951 | + | 25.0010i | −1.07444 | + | 0.901561i | −0.995447 | − | 0.0953147i | \(-0.969614\pi\) |
−0.0789909 | + | 0.996875i | \(0.525170\pi\) | |||||||
\(770\) | −2.01359 | + | 0.111509i | −0.0725648 | + | 0.00401849i | ||||
\(771\) | 4.55186 | − | 13.1435i | 0.163931 | − | 0.473352i | ||||
\(772\) | 12.8273 | + | 17.4371i | 0.461665 | + | 0.627576i | ||||
\(773\) | −4.50449 | − | 7.80201i | −0.162015 | − | 0.280619i | 0.773576 | − | 0.633704i | \(-0.218466\pi\) |
−0.935591 | + | 0.353085i | \(0.885133\pi\) | |||||||
\(774\) | 3.71543 | − | 0.322819i | 0.133548 | − | 0.0116035i | ||||
\(775\) | 28.6826 | + | 16.5599i | 1.03031 | + | 0.594849i | ||||
\(776\) | 36.0974 | + | 21.2553i | 1.29582 | + | 0.763021i | ||||
\(777\) | 15.1283 | + | 12.2953i | 0.542725 | + | 0.441091i | ||||
\(778\) | −12.0709 | − | 18.4676i | −0.432763 | − | 0.662096i | ||||
\(779\) | 11.8636 | − | 2.09187i | 0.425057 | − | 0.0749491i | ||||
\(780\) | 2.31544 | − | 10.2223i | 0.0829059 | − | 0.366017i | ||||
\(781\) | −17.8196 | + | 21.2366i | −0.637635 | + | 0.759904i | ||||
\(782\) | −21.9680 | + | 29.3329i | −0.785575 | + | 1.04894i | ||||
\(783\) | 4.04089 | + | 3.07899i | 0.144410 | + | 0.110034i | ||||
\(784\) | −14.3245 | + | 9.18868i | −0.511590 | + | 0.328167i | ||||
\(785\) | −5.79681 | + | 6.90837i | −0.206897 | + | 0.246570i | ||||
\(786\) | −5.44044 | + | 7.50677i | −0.194054 | + | 0.267757i | ||||
\(787\) | −4.77460 | − | 27.0781i | −0.170196 | − | 0.965230i | −0.943544 | − | 0.331248i | \(-0.892530\pi\) |
0.773348 | − | 0.633982i | \(-0.218581\pi\) | |||||||
\(788\) | 2.84900 | − | 44.5315i | 0.101491 | − | 1.58637i | ||||
\(789\) | −46.6768 | + | 17.8223i | −1.66174 | + | 0.634490i | ||||
\(790\) | −2.81295 | − | 2.99866i | −0.100080 | − | 0.106688i | ||||
\(791\) | −1.52828 | + | 2.64706i | −0.0543393 | + | 0.0941185i | ||||
\(792\) | 7.43774 | + | 12.2305i | 0.264289 | + | 0.434591i | ||||
\(793\) | 32.1687 | + | 55.7178i | 1.14234 | + | 1.97860i | ||||
\(794\) | −2.69430 | + | 8.90692i | −0.0956171 | + | 0.316095i | ||||
\(795\) | −0.974372 | − | 5.06078i | −0.0345574 | − | 0.179487i | ||||
\(796\) | −1.36349 | + | 2.04752i | −0.0483277 | + | 0.0725723i | ||||
\(797\) | −31.1047 | + | 26.0999i | −1.10178 | + | 0.924506i | −0.997544 | − | 0.0700458i | \(-0.977685\pi\) |
−0.104240 | + | 0.994552i | \(0.533241\pi\) | |||||||
\(798\) | 1.10497 | + | 15.5379i | 0.0391154 | + | 0.550035i | ||||
\(799\) | −0.136027 | − | 0.373730i | −0.00481227 | − | 0.0132216i | ||||
\(800\) | 11.6898 | + | 24.1295i | 0.413297 | + | 0.853106i | ||||
\(801\) | −33.2533 | + | 20.6148i | −1.17495 | + | 0.728387i | ||||
\(802\) | 1.67279 | + | 3.90862i | 0.0590683 | + | 0.138018i | ||||
\(803\) | −2.16193 | − | 0.381207i | −0.0762930 | − | 0.0134525i | ||||
\(804\) | 31.6630 | − | 4.02095i | 1.11667 | − | 0.141808i | ||||
\(805\) | 1.27520 | − | 3.50358i | 0.0449449 | − | 0.123485i | ||||
\(806\) | −26.4531 | + | 52.2995i | −0.931771 | + | 1.84217i | ||||
\(807\) | 2.95921 | + | 4.94486i | 0.104169 | + | 0.174067i | ||||
\(808\) | −21.4157 | + | 12.1209i | −0.753401 | + | 0.426411i | ||||
\(809\) | − | 37.9716i | − | 1.33501i | −0.744606 | − | 0.667505i | \(-0.767362\pi\) | ||
0.744606 | − | 0.667505i | \(-0.232638\pi\) | |||||||
\(810\) | −5.79778 | + | 2.92382i | −0.203713 | + | 0.102732i | ||||
\(811\) | 11.0327 | 0.387411 | 0.193706 | − | 0.981060i | \(-0.437949\pi\) | ||||
0.193706 | + | 0.981060i | \(0.437949\pi\) | |||||||
\(812\) | 2.96759 | + | 1.30025i | 0.104142 | + | 0.0456298i | ||||
\(813\) | −31.8476 | + | 19.0589i | −1.11695 | + | 0.668426i | ||||
\(814\) | −7.31455 | + | 14.4613i | −0.256375 | + | 0.506869i | ||||
\(815\) | 10.0840 | + | 3.67028i | 0.353228 | + | 0.128564i | ||||
\(816\) | 37.3057 | − | 16.2804i | 1.30596 | − | 0.569929i | ||||
\(817\) | −0.585847 | + | 3.32250i | −0.0204962 | + | 0.116240i | ||||
\(818\) | 2.80957 | − | 1.20243i | 0.0982345 | − | 0.0420418i | ||||
\(819\) | −29.4664 | + | 0.923984i | −1.02964 | + | 0.0322866i | ||||
\(820\) | 2.31685 | + | 2.21099i | 0.0809080 | + | 0.0772111i | ||||
\(821\) | −19.8243 | + | 7.21546i | −0.691874 | + | 0.251821i | −0.663937 | − | 0.747788i | \(-0.731116\pi\) |
−0.0279364 | + | 0.999610i | \(0.508894\pi\) | |||||||
\(822\) | 3.11712 | + | 43.8325i | 0.108722 | + | 1.52883i | ||||
\(823\) | 14.2858 | + | 17.0252i | 0.497972 | + | 0.593460i | 0.955226 | − | 0.295876i | \(-0.0956114\pi\) |
−0.457254 | + | 0.889336i | \(0.651167\pi\) | |||||||
\(824\) | −2.54894 | + | 0.903080i | −0.0887965 | + | 0.0314603i | ||||
\(825\) | −13.5994 | + | 2.61835i | −0.473471 | + | 0.0911592i | ||||
\(826\) | 3.41729 | + | 1.03371i | 0.118903 | + | 0.0359675i | ||||
\(827\) | −6.37239 | + | 3.67910i | −0.221590 | + | 0.127935i | −0.606686 | − | 0.794942i | \(-0.707501\pi\) |
0.385096 | + | 0.922876i | \(0.374168\pi\) | |||||||
\(828\) | −26.1983 | + | 3.74509i | −0.910455 | + | 0.130151i | ||||
\(829\) | 28.6959 | + | 16.5676i | 0.996649 | + | 0.575416i | 0.907255 | − | 0.420581i | \(-0.138174\pi\) |
0.0893942 | + | 0.995996i | \(0.471507\pi\) | |||||||
\(830\) | 1.11018 | + | 1.18348i | 0.0385351 | + | 0.0410792i | ||||
\(831\) | −12.6011 | − | 33.0023i | −0.437126 | − | 1.14484i | ||||
\(832\) | −41.4904 | + | 23.0157i | −1.43842 | + | 0.797924i | ||||
\(833\) | −24.6161 | + | 4.34048i | −0.852896 | + | 0.150389i | ||||
\(834\) | 4.88801 | + | 3.54253i | 0.169258 | + | 0.122668i | ||||
\(835\) | 6.76170 | + | 5.67374i | 0.233998 | + | 0.196348i | ||||
\(836\) | −12.4263 | + | 3.64298i | −0.429774 | + | 0.125995i | ||||
\(837\) | 35.4216 | − | 7.97875i | 1.22435 | − | 0.275786i | ||||
\(838\) | 24.8133 | − | 33.1320i | 0.857161 | − | 1.14453i | ||||
\(839\) | −27.8146 | − | 23.3392i | −0.960267 | − | 0.805759i | 0.0207297 | − | 0.999785i | \(-0.493401\pi\) |
−0.980996 | + | 0.194026i | \(0.937845\pi\) | |||||||
\(840\) | −3.15329 | + | 2.68433i | −0.108799 | + | 0.0926182i | ||||
\(841\) | −4.86981 | − | 27.6181i | −0.167924 | − | 0.952347i | ||||
\(842\) | 13.8158 | − | 9.03034i | 0.476123 | − | 0.311206i | ||||
\(843\) | −11.0690 | + | 13.6195i | −0.381237 | + | 0.469079i | ||||
\(844\) | 20.8569 | − | 2.31713i | 0.717925 | − | 0.0797589i | ||||
\(845\) | −5.65633 | + | 9.79704i | −0.194584 | + | 0.337029i | ||||
\(846\) | 0.121536 | − | 0.260227i | 0.00417848 | − | 0.00894680i | ||||
\(847\) | 11.7007 | − | 6.75539i | 0.402040 | − | 0.232118i | ||||
\(848\) | −14.1445 | + | 18.5531i | −0.485726 | + | 0.637115i | ||||
\(849\) | −15.5961 | − | 5.40125i | −0.535258 | − | 0.185370i | ||||
\(850\) | 2.17746 | + | 39.3201i | 0.0746863 | + | 1.34867i | ||||
\(851\) | −19.2589 | − | 22.9519i | −0.660188 | − | 0.786781i | ||||
\(852\) | −2.74372 | + | 56.8599i | −0.0939984 | + | 1.94799i | ||||
\(853\) | −8.87061 | − | 24.3718i | −0.303724 | − | 0.834475i | −0.993845 | − | 0.110781i | \(-0.964665\pi\) |
0.690121 | − | 0.723694i | \(-0.257557\pi\) | |||||||
\(854\) | 3.02313 | − | 25.2391i | 0.103449 | − | 0.863665i | ||||
\(855\) | −1.20082 | − | 5.74998i | −0.0410672 | − | 0.196645i | ||||
\(856\) | 31.6271 | − | 26.0798i | 1.08099 | − | 0.891389i | ||||
\(857\) | 53.4542 | + | 9.42542i | 1.82596 | + | 0.321966i | 0.978081 | − | 0.208223i | \(-0.0667679\pi\) |
0.847880 | + | 0.530189i | \(0.177879\pi\) | |||||||
\(858\) | −5.95701 | − | 23.7726i | −0.203369 | − | 0.811582i | ||||
\(859\) | −18.8934 | − | 6.87662i | −0.644633 | − | 0.234627i | −0.00104505 | − | 0.999999i | \(-0.500333\pi\) |
−0.643588 | + | 0.765372i | \(0.722555\pi\) | |||||||
\(860\) | −0.803786 | + | 0.397943i | −0.0274089 | + | 0.0135697i | ||||
\(861\) | 4.38111 | − | 7.87067i | 0.149308 | − | 0.268232i | ||||
\(862\) | 6.56972 | + | 28.0770i | 0.223766 | + | 0.956306i | ||||
\(863\) | 35.7624 | 1.21737 | 0.608683 | − | 0.793414i | \(-0.291698\pi\) | ||||
0.608683 | + | 0.793414i | \(0.291698\pi\) | |||||||
\(864\) | 27.3566 | + | 10.7526i | 0.930689 | + | 0.365811i | ||||
\(865\) | −12.4753 | −0.424174 | ||||||||
\(866\) | 12.4362 | + | 53.1486i | 0.422600 | + | 1.80606i | ||||
\(867\) | 30.3348 | − | 0.475491i | 1.03022 | − | 0.0161485i | ||||
\(868\) | 20.7522 | − | 10.2741i | 0.704375 | − | 0.348726i | ||||
\(869\) | −9.03391 | − | 3.28807i | −0.306454 | − | 0.111540i | ||||
\(870\) | −1.17483 | − | 0.335375i | −0.0398305 | − | 0.0113703i | ||||
\(871\) | −53.8147 | − | 9.48899i | −1.82344 | − | 0.321522i | ||||
\(872\) | 38.1060 | − | 31.4223i | 1.29043 | − | 1.06409i | ||||
\(873\) | −6.34025 | + | 43.9768i | −0.214585 | + | 1.48839i | ||||
\(874\) | 2.84726 | − | 23.7708i | 0.0963099 | − | 0.804060i | ||||
\(875\) | −2.81586 | − | 7.73650i | −0.0951934 | − | 0.261542i | ||||
\(876\) | −4.00803 | + | 2.06316i | −0.135419 | + | 0.0697076i | ||||
\(877\) | −11.4196 | − | 13.6093i | −0.385612 | − | 0.459554i | 0.537965 | − | 0.842967i | \(-0.319193\pi\) |
−0.923577 | + | 0.383413i | \(0.874749\pi\) | |||||||
\(878\) | −2.64672 | − | 47.7937i | −0.0893223 | − | 1.61296i | ||||
\(879\) | 28.7719 | − | 24.9213i | 0.970452 | − | 0.840573i | ||||
\(880\) | −2.73767 | − | 2.08715i | −0.0922867 | − | 0.0703578i | ||||
\(881\) | 1.81835 | − | 1.04983i | 0.0612618 | − | 0.0353695i | −0.469056 | − | 0.883168i | \(-0.655406\pi\) |
0.530318 | + | 0.847799i | \(0.322073\pi\) | |||||||
\(882\) | −14.7801 | − | 10.3623i | −0.497670 | − | 0.348916i | ||||
\(883\) | −14.4157 | + | 24.9688i | −0.485128 | + | 0.840267i | −0.999854 | − | 0.0170882i | \(-0.994560\pi\) |
0.514726 | + | 0.857355i | \(0.327894\pi\) | |||||||
\(884\) | −69.2614 | + | 7.69469i | −2.32951 | + | 0.258801i | ||||
\(885\) | −1.32935 | − | 0.212975i | −0.0446857 | − | 0.00715907i | ||||
\(886\) | −10.3807 | + | 6.78510i | −0.348746 | + | 0.227950i | ||||
\(887\) | −2.85336 | − | 16.1822i | −0.0958066 | − | 0.543346i | −0.994497 | − | 0.104763i | \(-0.966592\pi\) |
0.898691 | − | 0.438583i | \(-0.144519\pi\) | |||||||
\(888\) | 6.01133 | + | 32.7304i | 0.201727 | + | 1.09836i | ||||
\(889\) | −14.4816 | − | 12.1515i | −0.485696 | − | 0.407547i | ||||
\(890\) | 5.64034 | − | 7.53128i | 0.189065 | − | 0.252449i | ||||
\(891\) | −9.01145 | + | 12.2193i | −0.301895 | + | 0.409362i | ||||
\(892\) | −32.7882 | + | 9.61240i | −1.09783 | + | 0.321847i | ||||
\(893\) | 0.199032 | + | 0.167008i | 0.00666036 | + | 0.00558871i | ||||
\(894\) | 1.17395 | − | 11.2978i | 0.0392629 | − | 0.377856i | ||||
\(895\) | −6.45709 | + | 1.13856i | −0.215837 | + | 0.0380578i | ||||
\(896\) | 18.5720 | + | 2.54809i | 0.620448 | + | 0.0851257i | ||||
\(897\) | 44.7391 | + | 7.16762i | 1.49379 | + | 0.239320i | ||||
\(898\) | −26.5375 | − | 28.2896i | −0.885568 | − | 0.944035i | ||||
\(899\) | 5.91654 | + | 3.41591i | 0.197328 | + | 0.113927i | ||||
\(900\) | −18.9790 | + | 21.1788i | −0.632634 | + | 0.705959i | ||||
\(901\) | −29.6752 | + | 17.1330i | −0.988624 | + | 0.570782i | ||||
\(902\) | 7.16753 | + | 2.16814i | 0.238653 | + | 0.0721913i | ||||
\(903\) | 1.65167 | + | 1.90687i | 0.0549641 | + | 0.0634567i | ||||
\(904\) | −4.91808 | + | 1.74246i | −0.163573 | + | 0.0579533i | ||||
\(905\) | 2.09749 | + | 2.49969i | 0.0697228 | + | 0.0830924i | ||||
\(906\) | 11.6758 | + | 5.67760i | 0.387902 | + | 0.188626i | ||||
\(907\) | −27.5948 | + | 10.0437i | −0.916272 | + | 0.333496i | −0.756754 | − | 0.653699i | \(-0.773216\pi\) |
−0.159517 | + | 0.987195i | \(0.550994\pi\) | |||||||
\(908\) | 5.19850 | + | 4.96097i | 0.172518 | + | 0.164636i | ||||
\(909\) | −20.5102 | − | 16.1422i | −0.680281 | − | 0.535404i | ||||
\(910\) | 6.51808 | − | 2.78957i | 0.216072 | − | 0.0924733i | ||||
\(911\) | 4.26579 | − | 24.1925i | 0.141332 | − | 0.801533i | −0.828908 | − | 0.559385i | \(-0.811037\pi\) |
0.970240 | − | 0.242147i | \(-0.0778517\pi\) | |||||||
\(912\) | −15.7880 | + | 21.3962i | −0.522794 | + | 0.708499i | ||||
\(913\) | 3.56541 | + | 1.29770i | 0.117998 | + | 0.0429477i | ||||
\(914\) | 7.92501 | − | 15.6683i | 0.262136 | − | 0.518260i | ||||
\(915\) | 0.150233 | + | 9.58438i | 0.00496654 | + | 0.316850i | ||||
\(916\) | −2.94583 | − | 1.29071i | −0.0973328 | − | 0.0426464i | ||||
\(917\) | −6.27121 | −0.207094 | ||||||||
\(918\) | 30.9843 | + | 30.0639i | 1.02263 | + | 0.992256i | ||||
\(919\) | 38.5765i | 1.27252i | 0.771474 | + | 0.636261i | \(0.219520\pi\) | ||||
−0.771474 | + | 0.636261i | \(0.780480\pi\) | |||||||
\(920\) | 5.53893 | − | 3.13493i | 0.182613 | − | 0.103356i | ||||
\(921\) | 22.5924 | − | 40.5873i | 0.744445 | − | 1.33740i | ||||
\(922\) | −8.53917 | + | 16.8825i | −0.281222 | + | 0.555995i | ||||
\(923\) | 33.3340 | − | 91.5843i | 1.09720 | − | 3.01453i | ||||
\(924\) | −3.74644 | + | 8.92873i | −0.123249 | + | 0.293734i | ||||
\(925\) | −31.7070 | − | 5.59080i | −1.04252 | − | 0.183824i | ||||
\(926\) | −13.2455 | − | 30.9492i | −0.435273 | − | 1.01705i | ||||
\(927\) | −1.91162 | − | 2.13833i | −0.0627858 | − | 0.0702318i | ||||
\(928\) | 2.41133 | + | 4.97734i | 0.0791557 | + | 0.163389i | ||||
\(929\) | −1.83720 | − | 5.04766i | −0.0602765 | − | 0.165608i | 0.905899 | − | 0.423494i | \(-0.139196\pi\) |
−0.966175 | + | 0.257886i | \(0.916974\pi\) | |||||||
\(930\) | −7.23344 | + | 4.89146i | −0.237194 | + | 0.160397i | ||||
\(931\) | 12.5089 | − | 10.4962i | 0.409962 | − | 0.343999i | ||||
\(932\) | 11.1161 | − | 16.6927i | 0.364119 | − | 0.546787i | ||||
\(933\) | −39.4919 | − | 13.6768i | −1.29291 | − | 0.447759i | ||||
\(934\) | −11.3919 | + | 37.6597i | −0.372754 | + | 1.23226i | ||||
\(935\) | −2.52812 | − | 4.37883i | −0.0826783 | − | 0.143203i | ||||
\(936\) | −39.2777 | − | 31.4616i | −1.28383 | − | 1.02836i | ||||
\(937\) | 15.4717 | − | 26.7977i | 0.505437 | − | 0.875443i | −0.494543 | − | 0.869153i | \(-0.664665\pi\) |
0.999980 | − | 0.00628976i | \(-0.00200211\pi\) | |||||||
\(938\) | 14.7711 | + | 15.7463i | 0.482293 | + | 0.514135i | ||||
\(939\) | −23.7007 | − | 19.2624i | −0.773444 | − | 0.628605i | ||||
\(940\) | −0.00441000 | + | 0.0689307i | −0.000143838 | + | 0.00224827i | ||||
\(941\) | −3.69758 | − | 20.9700i | −0.120538 | − | 0.683603i | −0.983859 | − | 0.178947i | \(-0.942731\pi\) |
0.863321 | − | 0.504655i | \(-0.168380\pi\) | |||||||
\(942\) | 17.6585 | + | 39.5358i | 0.575345 | + | 1.28815i | ||||
\(943\) | −8.89897 | + | 10.6054i | −0.289790 | + | 0.345359i | ||||
\(944\) | 3.29057 | + | 5.12977i | 0.107099 | + | 0.166960i | ||||
\(945\) | −3.90288 | − | 2.01494i | −0.126961 | − | 0.0655459i | ||||
\(946\) | −1.25714 | + | 1.67859i | −0.0408730 | + | 0.0545758i | ||||
\(947\) | −23.4586 | + | 27.9569i | −0.762302 | + | 0.908476i | −0.997991 | − | 0.0633524i | \(-0.979821\pi\) |
0.235689 | + | 0.971828i | \(0.424265\pi\) | |||||||
\(948\) | −18.8544 | + | 5.84990i | −0.612363 | + | 0.189996i | ||||
\(949\) | 7.60059 | − | 1.34019i | 0.246726 | − | 0.0435044i | ||||
\(950\) | −14.0754 | − | 21.5343i | −0.456665 | − | 0.698664i | ||||
\(951\) | 6.16171 | − | 2.35268i | 0.199807 | − | 0.0762910i | ||||
\(952\) | 23.7257 | + | 13.9705i | 0.768956 | + | 0.452786i | ||||
\(953\) | −9.73145 | − | 5.61845i | −0.315233 | − | 0.182000i | 0.334033 | − | 0.942561i | \(-0.391590\pi\) |
−0.649266 | + | 0.760562i | \(0.724924\pi\) | |||||||
\(954\) | −23.8981 | − | 6.41880i | −0.773729 | − | 0.207816i | ||||
\(955\) | 5.99135 | + | 10.3773i | 0.193876 | + | 0.335802i | ||||
\(956\) | 12.7683 | + | 17.3569i | 0.412955 | + | 0.561362i | ||||
\(957\) | −2.80524 | + | 0.540103i | −0.0906805 | + | 0.0174591i | ||||
\(958\) | −34.8097 | + | 1.92769i | −1.12465 | + | 0.0622808i | ||||
\(959\) | −22.7706 | + | 19.1068i | −0.735300 | + | 0.616990i | ||||
\(960\) | −7.06900 | − | 0.0103495i | −0.228151 | − | 0.000334029i | ||||
\(961\) | 16.7526 | − | 6.09746i | 0.540408 | − | 0.196692i | ||||
\(962\) | 6.77593 | − | 56.5700i | 0.218465 | − | 1.82389i | ||||
\(963\) | 38.3174 | + | 20.5490i | 1.23476 | + | 0.662182i | ||||
\(964\) | −2.85955 | − | 0.695002i | −0.0920999 | − | 0.0223845i | ||||
\(965\) | 0.958840 | − | 5.43785i | 0.0308661 | − | 0.175051i | ||||
\(966\) | −12.4508 | − | 12.8627i | −0.400597 | − | 0.413851i | ||||
\(967\) | 7.29159 | − | 20.0335i | 0.234482 | − | 0.644233i | −0.765518 | − | 0.643415i | \(-0.777517\pi\) |
1.00000 | 0.000818662i | \(-0.000260588\pi\) | ||||||||
\(968\) | 22.6777 | + | 4.19937i | 0.728890 | + | 0.134973i | ||||
\(969\) | −33.5125 | + | 20.0553i | −1.07658 | + | 0.644268i | ||||
\(970\) | −2.43453 | − | 10.4044i | −0.0781679 | − | 0.334066i | ||||
\(971\) | − | 38.3665i | − | 1.23124i | −0.788044 | − | 0.615619i | \(-0.788906\pi\) | ||
0.788044 | − | 0.615619i | \(-0.211094\pi\) | |||||||
\(972\) | 0.451339 | + | 31.1736i | 0.0144767 | + | 0.999895i | ||||
\(973\) | 4.08348i | 0.130910i | ||||||||
\(974\) | 38.3054 | − | 8.96307i | 1.22738 | − | 0.287195i | ||||
\(975\) | 41.7791 | − | 25.0023i | 1.33800 | − | 0.800714i | ||||
\(976\) | 31.9003 | − | 29.4148i | 1.02110 | − | 0.941545i | ||||
\(977\) | −5.88737 | + | 16.1754i | −0.188354 | + | 0.517498i | −0.997543 | − | 0.0700498i | \(-0.977684\pi\) |
0.809190 | + | 0.587547i | \(0.199906\pi\) | |||||||
\(978\) | 37.0215 | − | 35.8358i | 1.18382 | − | 1.14590i | ||||
\(979\) | 3.82042 | − | 21.6667i | 0.122101 | − | 0.692470i | ||||
\(980\) | 4.21825 | + | 1.02523i | 0.134747 | + | 0.0327497i | ||||
\(981\) | 46.1668 | + | 24.7585i | 1.47399 | + | 0.790479i | ||||
\(982\) | 40.3508 | + | 4.83320i | 1.28765 | + | 0.154234i | ||||
\(983\) | 41.2780 | − | 15.0240i | 1.31656 | − | 0.479190i | 0.414208 | − | 0.910182i | \(-0.364058\pi\) |
0.902356 | + | 0.430992i | \(0.141836\pi\) | |||||||
\(984\) | 14.4116 | − | 5.36166i | 0.459426 | − | 0.170924i | ||||
\(985\) | −8.71938 | + | 7.31643i | −0.277823 | + | 0.233121i | ||||
\(986\) | 0.449159 | + | 8.11079i | 0.0143041 | + | 0.258300i | ||||
\(987\) | 0.190776 | − | 0.0367308i | 0.00607245 | − | 0.00116915i | ||||
\(988\) | 36.6716 | − | 26.9767i | 1.16668 | − | 0.858244i | ||||
\(989\) | −1.93861 | − | 3.35778i | −0.0616443 | − | 0.106771i | ||||
\(990\) | 0.947149 | − | 3.52637i | 0.0301024 | − | 0.112075i | ||||
\(991\) | −29.3156 | − | 16.9254i | −0.931241 | − | 0.537652i | −0.0440369 | − | 0.999030i | \(-0.514022\pi\) |
−0.887204 | + | 0.461378i | \(0.847355\pi\) | |||||||
\(992\) | 38.3287 | + | 9.66421i | 1.21694 | + | 0.306839i | ||||
\(993\) | −47.2885 | + | 18.0559i | −1.50065 | + | 0.572985i | ||||
\(994\) | −32.2324 | + | 21.0680i | −1.02235 | + | 0.668235i | ||||
\(995\) | 0.617958 | − | 0.108963i | 0.0195906 | − | 0.00345435i | ||||
\(996\) | 7.44126 | − | 2.30878i | 0.235785 | − | 0.0731564i | ||||
\(997\) | 4.25751 | − | 5.07390i | 0.134837 | − | 0.160692i | −0.694401 | − | 0.719588i | \(-0.744331\pi\) |
0.829238 | + | 0.558896i | \(0.188775\pi\) | |||||||
\(998\) | −14.0579 | − | 10.5283i | −0.444996 | − | 0.333267i | ||||
\(999\) | −29.7044 | + | 19.0655i | −0.939804 | + | 0.603206i |
(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 | 216.2.v.b.11.14 | ✓ | 192 | |
3.2 | odd | 2 | 648.2.v.b.35.19 | 192 | |||
4.3 | odd | 2 | 864.2.bh.b.335.10 | 192 | |||
8.3 | odd | 2 | inner | 216.2.v.b.11.31 | yes | 192 | |
8.5 | even | 2 | 864.2.bh.b.335.9 | 192 | |||
24.11 | even | 2 | 648.2.v.b.35.2 | 192 | |||
27.5 | odd | 18 | inner | 216.2.v.b.59.31 | yes | 192 | |
27.22 | even | 9 | 648.2.v.b.611.2 | 192 | |||
108.59 | even | 18 | 864.2.bh.b.815.9 | 192 | |||
216.5 | odd | 18 | 864.2.bh.b.815.10 | 192 | |||
216.59 | even | 18 | inner | 216.2.v.b.59.14 | yes | 192 | |
216.211 | odd | 18 | 648.2.v.b.611.19 | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.v.b.11.14 | ✓ | 192 | 1.1 | even | 1 | trivial | |
216.2.v.b.11.31 | yes | 192 | 8.3 | odd | 2 | inner | |
216.2.v.b.59.14 | yes | 192 | 216.59 | even | 18 | inner | |
216.2.v.b.59.31 | yes | 192 | 27.5 | odd | 18 | inner | |
648.2.v.b.35.2 | 192 | 24.11 | even | 2 | |||
648.2.v.b.35.19 | 192 | 3.2 | odd | 2 | |||
648.2.v.b.611.2 | 192 | 27.22 | even | 9 | |||
648.2.v.b.611.19 | 192 | 216.211 | odd | 18 | |||
864.2.bh.b.335.9 | 192 | 8.5 | even | 2 | |||
864.2.bh.b.335.10 | 192 | 4.3 | odd | 2 | |||
864.2.bh.b.815.9 | 192 | 108.59 | even | 18 | |||
864.2.bh.b.815.10 | 192 | 216.5 | odd | 18 |