Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,3,Mod(2,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.f (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: | \(0.735696713773\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 5.3 | ||
Character | \(\chi\) | \(=\) | 27.5 |
Dual form | 27.3.f.a.11.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.374063 | − | 0.445791i | −0.187032 | − | 0.222895i | 0.664378 | − | 0.747396i | \(-0.268696\pi\) |
−0.851410 | + | 0.524501i | \(0.824252\pi\) | |||||||
\(3\) | −0.428198 | − | 2.96928i | −0.142733 | − | 0.989761i | ||||
\(4\) | 0.635786 | − | 3.60572i | 0.158947 | − | 0.901431i | ||||
\(5\) | 2.62195 | + | 7.20376i | 0.524391 | + | 1.44075i | 0.865586 | + | 0.500760i | \(0.166946\pi\) |
−0.341196 | + | 0.939992i | \(0.610832\pi\) | |||||||
\(6\) | −1.16351 | + | 1.30159i | −0.193918 | + | 0.216931i | ||||
\(7\) | 0.231638 | + | 1.31369i | 0.0330912 | + | 0.187669i | 0.996873 | − | 0.0790234i | \(-0.0251802\pi\) |
−0.963782 | + | 0.266693i | \(0.914069\pi\) | |||||||
\(8\) | −3.86112 | + | 2.22922i | −0.482640 | + | 0.278652i | ||||
\(9\) | −8.63329 | + | 2.54288i | −0.959255 | + | 0.282542i | ||||
\(10\) | 2.23059 | − | 3.86350i | 0.223059 | − | 0.386350i | ||||
\(11\) | 0.367624 | − | 1.01004i | 0.0334203 | − | 0.0918217i | −0.921860 | − | 0.387523i | \(-0.873331\pi\) |
0.955281 | + | 0.295701i | \(0.0955532\pi\) | |||||||
\(12\) | −10.9787 | − | 0.343867i | −0.914888 | − | 0.0286556i | ||||
\(13\) | 16.0318 | + | 13.4523i | 1.23321 | + | 1.03479i | 0.998024 | + | 0.0628396i | \(0.0200156\pi\) |
0.235190 | + | 0.971949i | \(0.424429\pi\) | |||||||
\(14\) | 0.498982 | − | 0.594664i | 0.0356416 | − | 0.0424760i | ||||
\(15\) | 20.2673 | − | 10.8700i | 1.35115 | − | 0.724664i | ||||
\(16\) | −11.3241 | − | 4.12163i | −0.707756 | − | 0.257602i | ||||
\(17\) | −12.1867 | − | 7.03599i | −0.716864 | − | 0.413881i | 0.0967335 | − | 0.995310i | \(-0.469161\pi\) |
−0.813597 | + | 0.581429i | \(0.802494\pi\) | |||||||
\(18\) | 4.36299 | + | 2.89745i | 0.242388 | + | 0.160969i | ||||
\(19\) | −9.79833 | − | 16.9712i | −0.515702 | − | 0.893221i | −0.999834 | − | 0.0182265i | \(-0.994198\pi\) |
0.484132 | − | 0.874995i | \(-0.339135\pi\) | |||||||
\(20\) | 27.6418 | − | 4.87399i | 1.38209 | − | 0.243699i | ||||
\(21\) | 3.80152 | − | 1.25032i | 0.181025 | − | 0.0595389i | ||||
\(22\) | −0.587780 | + | 0.213935i | −0.0267173 | + | 0.00972430i | ||||
\(23\) | −1.76488 | − | 0.311197i | −0.0767341 | − | 0.0135303i | 0.135149 | − | 0.990825i | \(-0.456849\pi\) |
−0.211883 | + | 0.977295i | \(0.567960\pi\) | |||||||
\(24\) | 8.27250 | + | 10.5102i | 0.344688 | + | 0.437925i | ||||
\(25\) | −25.8684 | + | 21.7062i | −1.03474 | + | 0.868246i | ||||
\(26\) | − | 12.1788i | − | 0.468416i | ||||||
\(27\) | 11.2473 | + | 24.5458i | 0.416567 | + | 0.909105i | ||||
\(28\) | 4.88406 | 0.174431 | ||||||||
\(29\) | −25.8129 | − | 30.7626i | −0.890099 | − | 1.06078i | −0.997780 | − | 0.0665930i | \(-0.978787\pi\) |
0.107681 | − | 0.994185i | \(-0.465657\pi\) | |||||||
\(30\) | −12.4270 | − | 4.96893i | −0.414232 | − | 0.165631i | ||||
\(31\) | −2.95677 | + | 16.7687i | −0.0953798 | + | 0.540926i | 0.899250 | + | 0.437434i | \(0.144113\pi\) |
−0.994630 | + | 0.103492i | \(0.966998\pi\) | |||||||
\(32\) | 8.49804 | + | 23.3482i | 0.265564 | + | 0.729630i | ||||
\(33\) | −3.15651 | − | 0.659083i | −0.0956517 | − | 0.0199722i | ||||
\(34\) | 1.42201 | + | 8.06462i | 0.0418238 | + | 0.237195i | ||||
\(35\) | −8.85613 | + | 5.11309i | −0.253032 | + | 0.146088i | ||||
\(36\) | 3.68000 | + | 32.7460i | 0.102222 | + | 0.909611i | ||||
\(37\) | 1.80012 | − | 3.11791i | 0.0486520 | − | 0.0842678i | −0.840674 | − | 0.541542i | \(-0.817841\pi\) |
0.889326 | + | 0.457274i | \(0.151174\pi\) | |||||||
\(38\) | −3.90042 | + | 10.7163i | −0.102643 | + | 0.282008i | ||||
\(39\) | 33.0788 | − | 53.3631i | 0.848174 | − | 1.36829i | ||||
\(40\) | −26.1824 | − | 21.9697i | −0.654561 | − | 0.549241i | ||||
\(41\) | −3.09265 | + | 3.68568i | −0.0754305 | + | 0.0898946i | −0.802440 | − | 0.596733i | \(-0.796465\pi\) |
0.727009 | + | 0.686627i | \(0.240910\pi\) | |||||||
\(42\) | −1.97939 | − | 1.22699i | −0.0471283 | − | 0.0292139i | ||||
\(43\) | 16.1462 | + | 5.87675i | 0.375494 | + | 0.136669i | 0.522871 | − | 0.852412i | \(-0.324861\pi\) |
−0.147377 | + | 0.989080i | \(0.547083\pi\) | |||||||
\(44\) | −3.40819 | − | 1.96772i | −0.0774588 | − | 0.0447209i | ||||
\(45\) | −40.9544 | − | 55.5248i | −0.910098 | − | 1.23389i | ||||
\(46\) | 0.521449 | + | 0.903176i | 0.0113359 | + | 0.0196343i | ||||
\(47\) | 45.1184 | − | 7.95560i | 0.959966 | − | 0.169268i | 0.328356 | − | 0.944554i | \(-0.393505\pi\) |
0.631610 | + | 0.775286i | \(0.282394\pi\) | |||||||
\(48\) | −7.38935 | + | 35.3893i | −0.153945 | + | 0.737278i | ||||
\(49\) | 44.3728 | − | 16.1504i | 0.905568 | − | 0.329600i | ||||
\(50\) | 19.3528 | + | 3.41242i | 0.387056 | + | 0.0682485i | ||||
\(51\) | −15.6735 | + | 39.1985i | −0.307324 | + | 0.768598i | ||||
\(52\) | 58.6979 | − | 49.2534i | 1.12881 | − | 0.947180i | ||||
\(53\) | 51.2852i | 0.967645i | 0.875166 | + | 0.483822i | \(0.160752\pi\) | ||||
−0.875166 | + | 0.483822i | \(0.839248\pi\) | |||||||
\(54\) | 6.73512 | − | 14.1956i | 0.124724 | − | 0.262882i | ||||
\(55\) | 8.23996 | 0.149818 | ||||||||
\(56\) | −3.82288 | − | 4.55593i | −0.0682656 | − | 0.0813558i | ||||
\(57\) | −46.1967 | + | 36.3611i | −0.810468 | + | 0.637913i | ||||
\(58\) | −4.05804 | + | 23.0143i | −0.0699662 | + | 0.396798i | ||||
\(59\) | −32.0502 | − | 88.0571i | −0.543223 | − | 1.49249i | −0.842697 | − | 0.538389i | \(-0.819033\pi\) |
0.299473 | − | 0.954105i | \(-0.403189\pi\) | |||||||
\(60\) | −26.3084 | − | 79.9892i | −0.438473 | − | 1.33315i | ||||
\(61\) | −3.88855 | − | 22.0530i | −0.0637467 | − | 0.361525i | −0.999949 | − | 0.0100647i | \(-0.996796\pi\) |
0.936203 | − | 0.351461i | \(-0.114315\pi\) | |||||||
\(62\) | 8.58136 | − | 4.95445i | 0.138409 | − | 0.0799105i | ||||
\(63\) | −5.34035 | − | 10.7524i | −0.0847675 | − | 0.170673i | ||||
\(64\) | −16.8721 | + | 29.2233i | −0.263627 | + | 0.456615i | ||||
\(65\) | −54.8722 | + | 150.760i | −0.844188 | + | 2.31939i | ||||
\(66\) | 0.886919 | + | 1.65368i | 0.0134382 | + | 0.0250558i | ||||
\(67\) | −14.9624 | − | 12.5549i | −0.223319 | − | 0.187387i | 0.524263 | − | 0.851556i | \(-0.324341\pi\) |
−0.747582 | + | 0.664169i | \(0.768785\pi\) | |||||||
\(68\) | −33.1179 | + | 39.4684i | −0.487029 | + | 0.580418i | ||||
\(69\) | −0.168312 | + | 5.37369i | −0.00243930 | + | 0.0778796i | ||||
\(70\) | 5.59212 | + | 2.03537i | 0.0798875 | + | 0.0290767i | ||||
\(71\) | 74.9736 | + | 43.2860i | 1.05597 | + | 0.609663i | 0.924314 | − | 0.381633i | \(-0.124638\pi\) |
0.131653 | + | 0.991296i | \(0.457972\pi\) | |||||||
\(72\) | 27.6655 | − | 29.0639i | 0.384243 | − | 0.403665i | ||||
\(73\) | 18.0755 | + | 31.3076i | 0.247609 | + | 0.428871i | 0.962862 | − | 0.269994i | \(-0.0870218\pi\) |
−0.715253 | + | 0.698866i | \(0.753689\pi\) | |||||||
\(74\) | −2.06330 | + | 0.363815i | −0.0278824 | + | 0.00491641i | ||||
\(75\) | 75.5285 | + | 67.5161i | 1.00705 | + | 0.900214i | ||||
\(76\) | −67.4231 | + | 24.5400i | −0.887146 | + | 0.322895i | ||||
\(77\) | 1.41203 | + | 0.248979i | 0.0183380 | + | 0.00323349i | ||||
\(78\) | −36.1624 | + | 5.21494i | −0.463620 | + | 0.0668582i | ||||
\(79\) | −22.3922 | + | 18.7892i | −0.283445 | + | 0.237839i | −0.773414 | − | 0.633901i | \(-0.781453\pi\) |
0.489969 | + | 0.871740i | \(0.337008\pi\) | |||||||
\(80\) | − | 92.3828i | − | 1.15479i | ||||||
\(81\) | 68.0675 | − | 43.9069i | 0.840340 | − | 0.542060i | ||||
\(82\) | 2.79989 | 0.0341450 | ||||||||
\(83\) | −76.1905 | − | 90.8003i | −0.917957 | − | 1.09398i | −0.995287 | − | 0.0969733i | \(-0.969084\pi\) |
0.0773297 | − | 0.997006i | \(-0.475361\pi\) | |||||||
\(84\) | −2.09134 | − | 14.5022i | −0.0248970 | − | 0.172645i | ||||
\(85\) | 18.7326 | − | 106.238i | 0.220384 | − | 1.24986i | ||||
\(86\) | −3.41991 | − | 9.39613i | −0.0397664 | − | 0.109257i | ||||
\(87\) | −80.2898 | + | 89.8182i | −0.922871 | + | 1.03239i | ||||
\(88\) | 0.832156 | + | 4.71939i | 0.00945632 | + | 0.0536294i | ||||
\(89\) | 104.884 | − | 60.5550i | 1.17848 | − | 0.680394i | 0.222815 | − | 0.974861i | \(-0.428476\pi\) |
0.955662 | + | 0.294467i | \(0.0951422\pi\) | |||||||
\(90\) | −9.43294 | + | 39.0269i | −0.104810 | + | 0.433632i | ||||
\(91\) | −13.9585 | + | 24.1768i | −0.153390 | + | 0.265679i | ||||
\(92\) | −2.24418 | + | 6.16583i | −0.0243932 | + | 0.0670199i | ||||
\(93\) | 51.0571 | + | 1.59918i | 0.549001 | + | 0.0171955i | ||||
\(94\) | −20.4237 | − | 17.1375i | −0.217273 | − | 0.182314i | ||||
\(95\) | 96.5657 | − | 115.083i | 1.01648 | − | 1.21139i | ||||
\(96\) | 65.6885 | − | 35.2307i | 0.684255 | − | 0.366987i | ||||
\(97\) | 9.05396 | + | 3.29537i | 0.0933398 | + | 0.0339729i | 0.388268 | − | 0.921547i | \(-0.373074\pi\) |
−0.294928 | + | 0.955519i | \(0.595296\pi\) | |||||||
\(98\) | −23.7979 | − | 13.7397i | −0.242836 | − | 0.140201i | ||||
\(99\) | −0.605396 | + | 9.65478i | −0.00611511 | + | 0.0975230i | ||||
\(100\) | 61.8196 | + | 107.075i | 0.618196 | + | 1.07075i | ||||
\(101\) | 3.79771 | − | 0.669639i | 0.0376011 | − | 0.00663009i | −0.154816 | − | 0.987943i | \(-0.549478\pi\) |
0.192417 | + | 0.981313i | \(0.438367\pi\) | |||||||
\(102\) | 23.3372 | − | 7.67560i | 0.228796 | − | 0.0752510i | ||||
\(103\) | −115.073 | + | 41.8832i | −1.11722 | + | 0.406633i | −0.833635 | − | 0.552315i | \(-0.813744\pi\) |
−0.283580 | + | 0.958948i | \(0.591522\pi\) | |||||||
\(104\) | −91.8886 | − | 16.2024i | −0.883544 | − | 0.155793i | ||||
\(105\) | 18.9744 | + | 24.1070i | 0.180709 | + | 0.229590i | ||||
\(106\) | 22.8625 | − | 19.1839i | 0.215684 | − | 0.180980i | ||||
\(107\) | 80.0804i | 0.748415i | 0.927345 | + | 0.374207i | \(0.122085\pi\) | ||||
−0.927345 | + | 0.374207i | \(0.877915\pi\) | |||||||
\(108\) | 95.6564 | − | 24.9487i | 0.885707 | − | 0.231007i | ||||
\(109\) | −96.8098 | −0.888163 | −0.444081 | − | 0.895986i | \(-0.646470\pi\) | ||||
−0.444081 | + | 0.895986i | \(0.646470\pi\) | |||||||
\(110\) | −3.08227 | − | 3.67330i | −0.0280206 | − | 0.0333937i | ||||
\(111\) | −10.0288 | − | 4.01000i | −0.0903492 | − | 0.0361261i | ||||
\(112\) | 2.79144 | − | 15.8310i | 0.0249236 | − | 0.141349i | ||||
\(113\) | 22.1070 | + | 60.7386i | 0.195637 | + | 0.537509i | 0.998259 | − | 0.0589789i | \(-0.0187845\pi\) |
−0.802622 | + | 0.596488i | \(0.796562\pi\) | |||||||
\(114\) | 33.4899 | + | 6.99274i | 0.293771 | + | 0.0613399i | ||||
\(115\) | −2.38566 | − | 13.5297i | −0.0207449 | − | 0.117650i | ||||
\(116\) | −127.333 | + | 73.5156i | −1.09770 | + | 0.633755i | ||||
\(117\) | −172.615 | − | 75.3704i | −1.47534 | − | 0.644191i | ||||
\(118\) | −27.2663 | + | 47.2266i | −0.231070 | + | 0.400225i | ||||
\(119\) | 6.42017 | − | 17.6393i | 0.0539510 | − | 0.148229i | ||||
\(120\) | −54.0229 | + | 87.1504i | −0.450191 | + | 0.726253i | ||||
\(121\) | 91.8063 | + | 77.0347i | 0.758730 | + | 0.636650i | ||||
\(122\) | −8.37648 | + | 9.98271i | −0.0686597 | + | 0.0818255i | ||||
\(123\) | 12.2681 | + | 7.60476i | 0.0997406 | + | 0.0618273i | ||||
\(124\) | 58.5834 | + | 21.3226i | 0.472447 | + | 0.171957i | ||||
\(125\) | −58.2161 | − | 33.6111i | −0.465729 | − | 0.268889i | ||||
\(126\) | −2.79570 | + | 6.40276i | −0.0221881 | + | 0.0508155i | ||||
\(127\) | −82.7295 | − | 143.292i | −0.651414 | − | 1.12828i | −0.982780 | − | 0.184779i | \(-0.940843\pi\) |
0.331366 | − | 0.943502i | \(-0.392490\pi\) | |||||||
\(128\) | 117.215 | − | 20.6682i | 0.915744 | − | 0.161470i | ||||
\(129\) | 10.5360 | − | 50.4592i | 0.0816741 | − | 0.391157i | ||||
\(130\) | 87.7332 | − | 31.9323i | 0.674871 | − | 0.245633i | ||||
\(131\) | 36.1521 | + | 6.37458i | 0.275970 | + | 0.0486610i | 0.309920 | − | 0.950763i | \(-0.399698\pi\) |
−0.0339502 | + | 0.999424i | \(0.510809\pi\) | |||||||
\(132\) | −4.38334 | + | 10.9625i | −0.0332071 | + | 0.0830489i | ||||
\(133\) | 20.0252 | − | 16.8031i | 0.150565 | − | 0.126339i | ||||
\(134\) | 11.3664i | 0.0848241i | ||||||||
\(135\) | −147.332 | + | 145.381i | −1.09135 | + | 1.07690i | ||||
\(136\) | 62.7390 | 0.461316 | ||||||||
\(137\) | 74.9644 | + | 89.3391i | 0.547185 | + | 0.652110i | 0.966783 | − | 0.255600i | \(-0.0822731\pi\) |
−0.419597 | + | 0.907710i | \(0.637829\pi\) | |||||||
\(138\) | 2.45850 | − | 1.93507i | 0.0178152 | − | 0.0140222i | ||||
\(139\) | −17.1095 | + | 97.0328i | −0.123090 | + | 0.698078i | 0.859334 | + | 0.511415i | \(0.170878\pi\) |
−0.982424 | + | 0.186663i | \(0.940233\pi\) | |||||||
\(140\) | 12.8058 | + | 35.1836i | 0.0914699 | + | 0.251311i | ||||
\(141\) | −42.9420 | − | 130.563i | −0.304553 | − | 0.925978i | ||||
\(142\) | −8.74834 | − | 49.6143i | −0.0616080 | − | 0.349396i | ||||
\(143\) | 19.4810 | − | 11.2473i | 0.136230 | − | 0.0786527i | ||||
\(144\) | 108.245 | + | 6.78743i | 0.751702 | + | 0.0471350i | ||||
\(145\) | 153.926 | − | 266.608i | 1.06156 | − | 1.83867i | ||||
\(146\) | 7.19529 | − | 19.7689i | 0.0492828 | − | 0.135403i | ||||
\(147\) | −66.9554 | − | 124.840i | −0.455479 | − | 0.849251i | ||||
\(148\) | −10.0978 | − | 8.47307i | −0.0682285 | − | 0.0572505i | ||||
\(149\) | −89.3217 | + | 106.449i | −0.599474 | + | 0.714426i | −0.977397 | − | 0.211411i | \(-0.932194\pi\) |
0.377923 | + | 0.925837i | \(0.376638\pi\) | |||||||
\(150\) | 1.84562 | − | 58.9252i | 0.0123041 | − | 0.392835i | ||||
\(151\) | −122.547 | − | 44.6035i | −0.811571 | − | 0.295388i | −0.0972982 | − | 0.995255i | \(-0.531020\pi\) |
−0.714272 | + | 0.699868i | \(0.753242\pi\) | |||||||
\(152\) | 75.6650 | + | 43.6852i | 0.497796 | + | 0.287403i | ||||
\(153\) | 123.103 | + | 29.7544i | 0.804594 | + | 0.194473i | ||||
\(154\) | −0.417195 | − | 0.722604i | −0.00270906 | − | 0.00469223i | ||||
\(155\) | −128.550 | + | 22.6669i | −0.829356 | + | 0.146238i | ||||
\(156\) | −171.382 | − | 153.201i | −1.09860 | − | 0.982055i | ||||
\(157\) | 219.522 | − | 79.8994i | 1.39823 | − | 0.508913i | 0.470576 | − | 0.882359i | \(-0.344046\pi\) |
0.927652 | + | 0.373446i | \(0.121824\pi\) | |||||||
\(158\) | 16.7522 | + | 2.95386i | 0.106026 | + | 0.0186953i | ||||
\(159\) | 152.280 | − | 21.9602i | 0.957737 | − | 0.138114i | ||||
\(160\) | −145.913 | + | 122.436i | −0.911957 | + | 0.765223i | ||||
\(161\) | − | 2.39059i | − | 0.0148484i | ||||||
\(162\) | −45.0348 | − | 13.9199i | −0.277993 | − | 0.0859255i | ||||
\(163\) | 65.8701 | 0.404111 | 0.202056 | − | 0.979374i | \(-0.435238\pi\) | ||||
0.202056 | + | 0.979374i | \(0.435238\pi\) | |||||||
\(164\) | 11.3233 | + | 13.4945i | 0.0690443 | + | 0.0822838i | ||||
\(165\) | −3.52834 | − | 24.4668i | −0.0213839 | − | 0.148284i | ||||
\(166\) | −11.9779 | + | 67.9300i | −0.0721560 | + | 0.409217i | ||||
\(167\) | 57.3115 | + | 157.462i | 0.343182 | + | 0.942886i | 0.984465 | + | 0.175581i | \(0.0561804\pi\) |
−0.641283 | + | 0.767305i | \(0.721597\pi\) | |||||||
\(168\) | −11.8909 | + | 13.3020i | −0.0707791 | + | 0.0791788i | ||||
\(169\) | 46.7081 | + | 264.895i | 0.276379 | + | 1.56742i | ||||
\(170\) | −54.3671 | + | 31.3889i | −0.319807 | + | 0.184640i | ||||
\(171\) | 127.748 | + | 121.601i | 0.747062 | + | 0.711119i | ||||
\(172\) | 31.4555 | − | 54.4825i | 0.182881 | − | 0.316759i | ||||
\(173\) | 90.8802 | − | 249.691i | 0.525319 | − | 1.44330i | −0.339206 | − | 0.940712i | \(-0.610158\pi\) |
0.864525 | − | 0.502590i | \(-0.167620\pi\) | |||||||
\(174\) | 70.0736 | + | 2.19480i | 0.402722 | + | 0.0126138i | ||||
\(175\) | −34.5072 | − | 28.9550i | −0.197184 | − | 0.165457i | ||||
\(176\) | −8.32602 | + | 9.92256i | −0.0473069 | + | 0.0563782i | ||||
\(177\) | −247.743 | + | 132.872i | −1.39968 | + | 0.750689i | ||||
\(178\) | −66.2283 | − | 24.1051i | −0.372069 | − | 0.135422i | ||||
\(179\) | −213.546 | − | 123.291i | −1.19299 | − | 0.688776i | −0.234010 | − | 0.972234i | \(-0.575185\pi\) |
−0.958985 | + | 0.283458i | \(0.908518\pi\) | |||||||
\(180\) | −226.245 | + | 112.368i | −1.25692 | + | 0.624268i | ||||
\(181\) | 0.670719 | + | 1.16172i | 0.00370563 | + | 0.00641834i | 0.867872 | − | 0.496787i | \(-0.165487\pi\) |
−0.864167 | + | 0.503206i | \(0.832154\pi\) | |||||||
\(182\) | 15.9991 | − | 2.82108i | 0.0879074 | − | 0.0155004i | ||||
\(183\) | −63.8167 | + | 20.9893i | −0.348725 | + | 0.114695i | ||||
\(184\) | 7.50815 | − | 2.73274i | 0.0408052 | − | 0.0148519i | ||||
\(185\) | 27.1805 | + | 4.79266i | 0.146922 | + | 0.0259062i | ||||
\(186\) | −18.3857 | − | 23.3590i | −0.0988478 | − | 0.125586i | ||||
\(187\) | −11.5867 | + | 9.72242i | −0.0619611 | + | 0.0519916i | ||||
\(188\) | − | 167.743i | − | 0.892248i | ||||||
\(189\) | −29.6402 | + | 20.4612i | −0.156827 | + | 0.108260i | ||||
\(190\) | −87.4244 | −0.460128 | ||||||||
\(191\) | 29.8515 | + | 35.5757i | 0.156291 | + | 0.186260i | 0.838508 | − | 0.544890i | \(-0.183428\pi\) |
−0.682217 | + | 0.731150i | \(0.738984\pi\) | |||||||
\(192\) | 93.9970 | + | 37.5847i | 0.489568 | + | 0.195754i | ||||
\(193\) | −24.7371 | + | 140.291i | −0.128171 | + | 0.726896i | 0.851202 | + | 0.524838i | \(0.175874\pi\) |
−0.979374 | + | 0.202058i | \(0.935237\pi\) | |||||||
\(194\) | −1.91770 | − | 5.26885i | −0.00988508 | − | 0.0271590i | ||||
\(195\) | 471.146 | + | 98.3760i | 2.41613 | + | 0.504493i | ||||
\(196\) | −30.0222 | − | 170.264i | −0.153174 | − | 0.868695i | ||||
\(197\) | −46.8442 | + | 27.0455i | −0.237788 | + | 0.137287i | −0.614160 | − | 0.789182i | \(-0.710505\pi\) |
0.376372 | + | 0.926469i | \(0.377172\pi\) | |||||||
\(198\) | 4.53047 | − | 3.34162i | 0.0228812 | − | 0.0168769i | ||||
\(199\) | −164.437 | + | 284.813i | −0.826317 | + | 1.43122i | 0.0745915 | + | 0.997214i | \(0.476235\pi\) |
−0.900909 | + | 0.434009i | \(0.857099\pi\) | |||||||
\(200\) | 51.4932 | − | 141.476i | 0.257466 | − | 0.707382i | ||||
\(201\) | −30.8723 | + | 49.8035i | −0.153593 | + | 0.247779i | ||||
\(202\) | −1.71910 | − | 1.44250i | −0.00851041 | − | 0.00714108i | ||||
\(203\) | 34.4331 | − | 41.0358i | 0.169621 | − | 0.202147i | ||||
\(204\) | 131.374 | + | 81.4363i | 0.643990 | + | 0.399197i | ||||
\(205\) | −34.6595 | − | 12.6150i | −0.169071 | − | 0.0615368i | ||||
\(206\) | 61.7158 | + | 35.6316i | 0.299591 | + | 0.172969i | ||||
\(207\) | 16.0281 | − | 1.80124i | 0.0774304 | − | 0.00870164i | ||||
\(208\) | −126.100 | − | 218.412i | −0.606250 | − | 1.05006i | ||||
\(209\) | −20.7437 | + | 3.65767i | −0.0992520 | + | 0.0175008i | ||||
\(210\) | 3.64904 | − | 17.4761i | 0.0173764 | − | 0.0832197i | ||||
\(211\) | −89.0532 | + | 32.4127i | −0.422053 | + | 0.153615i | −0.544311 | − | 0.838884i | \(-0.683209\pi\) |
0.122258 | + | 0.992498i | \(0.460987\pi\) | |||||||
\(212\) | 184.920 | + | 32.6064i | 0.872265 | + | 0.153804i | ||||
\(213\) | 96.4250 | − | 241.153i | 0.452700 | − | 1.13217i | ||||
\(214\) | 35.6991 | − | 29.9551i | 0.166818 | − | 0.139977i | ||||
\(215\) | 131.722i | 0.612662i | ||||||||
\(216\) | −98.1452 | − | 69.7017i | −0.454376 | − | 0.322693i | ||||
\(217\) | −22.7137 | −0.104671 | ||||||||
\(218\) | 36.2130 | + | 43.1569i | 0.166114 | + | 0.197968i | ||||
\(219\) | 85.2213 | − | 67.0770i | 0.389138 | − | 0.306288i | ||||
\(220\) | 5.23886 | − | 29.7110i | 0.0238130 | − | 0.135050i | ||||
\(221\) | −100.724 | − | 276.738i | −0.455766 | − | 1.25221i | ||||
\(222\) | 1.96377 | + | 5.97072i | 0.00884580 | + | 0.0268952i | ||||
\(223\) | −14.1117 | − | 80.0312i | −0.0632810 | − | 0.358884i | −0.999962 | − | 0.00870098i | \(-0.997230\pi\) |
0.936681 | − | 0.350183i | \(-0.113881\pi\) | |||||||
\(224\) | −28.7037 | + | 16.5721i | −0.128141 | + | 0.0739825i | ||||
\(225\) | 168.133 | − | 253.176i | 0.747259 | − | 1.12523i | ||||
\(226\) | 18.8073 | − | 32.5752i | 0.0832180 | − | 0.144138i | ||||
\(227\) | 57.3885 | − | 157.674i | 0.252813 | − | 0.694597i | −0.746752 | − | 0.665102i | \(-0.768388\pi\) |
0.999565 | − | 0.0294950i | \(-0.00938992\pi\) | |||||||
\(228\) | 101.737 | + | 189.690i | 0.446213 | + | 0.831975i | ||||
\(229\) | 56.2458 | + | 47.1958i | 0.245615 | + | 0.206095i | 0.757281 | − | 0.653089i | \(-0.226527\pi\) |
−0.511666 | + | 0.859184i | \(0.670972\pi\) | |||||||
\(230\) | −5.13905 | + | 6.12448i | −0.0223437 | + | 0.0266282i | ||||
\(231\) | 0.134661 | − | 4.29933i | 0.000582948 | − | 0.0186118i | ||||
\(232\) | 168.243 | + | 61.2354i | 0.725185 | + | 0.263946i | ||||
\(233\) | −159.041 | − | 91.8223i | −0.682579 | − | 0.394087i | 0.118247 | − | 0.992984i | \(-0.462272\pi\) |
−0.800826 | + | 0.598897i | \(0.795606\pi\) | |||||||
\(234\) | 30.9693 | + | 105.143i | 0.132347 | + | 0.449330i | ||||
\(235\) | 175.609 | + | 304.163i | 0.747271 | + | 1.29431i | ||||
\(236\) | −337.887 | + | 59.5785i | −1.43172 | + | 0.252451i | ||||
\(237\) | 65.3789 | + | 58.4431i | 0.275860 | + | 0.246596i | ||||
\(238\) | −10.2650 | + | 3.73615i | −0.0431302 | + | 0.0156981i | ||||
\(239\) | −8.71524 | − | 1.53673i | −0.0364655 | − | 0.00642984i | 0.155386 | − | 0.987854i | \(-0.450338\pi\) |
−0.191851 | + | 0.981424i | \(0.561449\pi\) | |||||||
\(240\) | −274.311 | + | 39.5581i | −1.14296 | + | 0.164825i | ||||
\(241\) | −12.1911 | + | 10.2295i | −0.0505853 | + | 0.0424461i | −0.667730 | − | 0.744404i | \(-0.732734\pi\) |
0.617145 | + | 0.786850i | \(0.288289\pi\) | |||||||
\(242\) | − | 69.7423i | − | 0.288191i | ||||||
\(243\) | −159.518 | − | 183.311i | −0.656454 | − | 0.754366i | ||||
\(244\) | −81.9894 | −0.336022 | ||||||||
\(245\) | 232.687 | + | 277.306i | 0.949743 | + | 1.13186i | ||||
\(246\) | −1.19891 | − | 8.31366i | −0.00487360 | − | 0.0337954i | ||||
\(247\) | 71.2164 | − | 403.888i | 0.288325 | − | 1.63517i | ||||
\(248\) | −25.9646 | − | 71.3372i | −0.104696 | − | 0.287650i | ||||
\(249\) | −236.987 | + | 265.112i | −0.951756 | + | 1.06471i | ||||
\(250\) | 6.79298 | + | 38.5249i | 0.0271719 | + | 0.154100i | ||||
\(251\) | 228.852 | − | 132.128i | 0.911762 | − | 0.526406i | 0.0307645 | − | 0.999527i | \(-0.490206\pi\) |
0.880998 | + | 0.473121i | \(0.156872\pi\) | |||||||
\(252\) | −42.1655 | + | 12.4196i | −0.167324 | + | 0.0492841i | ||||
\(253\) | −0.963134 | + | 1.66820i | −0.00380685 | + | 0.00659366i | ||||
\(254\) | −32.9321 | + | 90.4802i | −0.129654 | + | 0.356221i | ||||
\(255\) | −323.472 | − | 10.1316i | −1.26852 | − | 0.0397317i | ||||
\(256\) | 50.3387 | + | 42.2392i | 0.196635 | + | 0.164997i | ||||
\(257\) | −219.915 | + | 262.084i | −0.855699 | + | 1.01978i | 0.143846 | + | 0.989600i | \(0.454053\pi\) |
−0.999544 | + | 0.0301818i | \(0.990391\pi\) | |||||||
\(258\) | −26.4354 | + | 14.1781i | −0.102463 | + | 0.0549538i | ||||
\(259\) | 4.51293 | + | 1.64257i | 0.0174244 | + | 0.00634198i | ||||
\(260\) | 508.713 | + | 293.705i | 1.95659 | + | 1.12964i | ||||
\(261\) | 301.076 | + | 199.943i | 1.15355 | + | 0.766066i | ||||
\(262\) | −10.6814 | − | 18.5008i | −0.0407688 | − | 0.0706136i | ||||
\(263\) | −374.609 | + | 66.0536i | −1.42437 | + | 0.251154i | −0.832117 | − | 0.554600i | \(-0.812871\pi\) |
−0.592250 | + | 0.805754i | \(0.701760\pi\) | |||||||
\(264\) | 13.6569 | − | 4.49174i | 0.0517306 | − | 0.0170142i | ||||
\(265\) | −369.446 | + | 134.467i | −1.39414 | + | 0.507424i | ||||
\(266\) | −14.9813 | − | 2.64162i | −0.0563209 | − | 0.00993089i | ||||
\(267\) | −224.716 | − | 285.502i | −0.841634 | − | 1.06930i | ||||
\(268\) | −54.7824 | + | 45.9679i | −0.204412 | + | 0.171522i | ||||
\(269\) | 88.9301i | 0.330595i | 0.986244 | + | 0.165297i | \(0.0528584\pi\) | ||||
−0.986244 | + | 0.165297i | \(0.947142\pi\) | |||||||
\(270\) | 119.921 | + | 11.2979i | 0.444152 | + | 0.0418439i | ||||
\(271\) | 487.123 | 1.79750 | 0.898751 | − | 0.438460i | \(-0.144476\pi\) | ||||
0.898751 | + | 0.438460i | \(0.144476\pi\) | |||||||
\(272\) | 109.003 | + | 129.905i | 0.400748 | + | 0.477593i | ||||
\(273\) | 77.7647 | + | 31.0942i | 0.284852 | + | 0.113898i | ||||
\(274\) | 11.7851 | − | 66.8369i | 0.0430115 | − | 0.243930i | ||||
\(275\) | 12.4142 | + | 34.1078i | 0.0451426 | + | 0.124028i | ||||
\(276\) | 19.2690 | + | 4.02341i | 0.0698154 | + | 0.0145776i | ||||
\(277\) | −15.1883 | − | 86.1369i | −0.0548312 | − | 0.310963i | 0.945041 | − | 0.326952i | \(-0.106022\pi\) |
−0.999872 | + | 0.0159886i | \(0.994910\pi\) | |||||||
\(278\) | 49.6564 | − | 28.6691i | 0.178620 | − | 0.103126i | ||||
\(279\) | −17.1141 | − | 152.288i | −0.0613410 | − | 0.545835i | ||||
\(280\) | 22.7964 | − | 39.4845i | 0.0814157 | − | 0.141016i | ||||
\(281\) | −55.1861 | + | 151.623i | −0.196392 | + | 0.539582i | −0.998326 | − | 0.0578296i | \(-0.981582\pi\) |
0.801935 | + | 0.597412i | \(0.203804\pi\) | |||||||
\(282\) | −42.1407 | + | 67.9819i | −0.149435 | + | 0.241071i | ||||
\(283\) | −105.120 | − | 88.2058i | −0.371447 | − | 0.311681i | 0.437886 | − | 0.899030i | \(-0.355727\pi\) |
−0.809334 | + | 0.587349i | \(0.800172\pi\) | |||||||
\(284\) | 203.745 | − | 242.813i | 0.717411 | − | 0.854977i | ||||
\(285\) | −383.062 | − | 237.453i | −1.34408 | − | 0.833168i | ||||
\(286\) | −12.3011 | − | 4.47722i | −0.0430107 | − | 0.0156546i | ||||
\(287\) | −5.55820 | − | 3.20903i | −0.0193666 | − | 0.0111813i | ||||
\(288\) | −132.738 | − | 179.962i | −0.460895 | − | 0.624868i | ||||
\(289\) | −45.4898 | − | 78.7907i | −0.157404 | − | 0.272632i | ||||
\(290\) | −176.429 | + | 31.1093i | −0.608377 | + | 0.107273i | ||||
\(291\) | 5.90801 | − | 28.2948i | 0.0203024 | − | 0.0972332i | ||||
\(292\) | 124.379 | − | 45.2701i | 0.425954 | − | 0.155035i | ||||
\(293\) | −382.393 | − | 67.4262i | −1.30510 | − | 0.230124i | −0.522492 | − | 0.852644i | \(-0.674998\pi\) |
−0.782604 | + | 0.622520i | \(0.786109\pi\) | |||||||
\(294\) | −30.6070 | + | 76.5461i | −0.104105 | + | 0.260361i | ||||
\(295\) | 550.308 | − | 461.763i | 1.86545 | − | 1.56530i | ||||
\(296\) | 16.0515i | 0.0542280i | ||||||||
\(297\) | 28.9270 | − | 2.33656i | 0.0973973 | − | 0.00786721i | ||||
\(298\) | 80.8661 | 0.271363 | ||||||||
\(299\) | −24.1079 | − | 28.7307i | −0.0806285 | − | 0.0960893i | ||||
\(300\) | 291.464 | − | 229.409i | 0.971547 | − | 0.764697i | ||||
\(301\) | −3.98012 | + | 22.5724i | −0.0132230 | + | 0.0749913i | ||||
\(302\) | 25.9565 | + | 71.3150i | 0.0859487 | + | 0.236142i | ||||
\(303\) | −3.61452 | − | 10.9897i | −0.0119291 | − | 0.0362698i | ||||
\(304\) | 41.0081 | + | 232.569i | 0.134895 | + | 0.765029i | ||||
\(305\) | 148.669 | − | 85.8342i | 0.487440 | − | 0.281424i | ||||
\(306\) | −32.7840 | − | 66.0082i | −0.107137 | − | 0.215713i | ||||
\(307\) | −207.323 | + | 359.093i | −0.675318 | + | 1.16969i | 0.301057 | + | 0.953606i | \(0.402660\pi\) |
−0.976376 | + | 0.216080i | \(0.930673\pi\) | |||||||
\(308\) | 1.79550 | − | 4.93309i | 0.00582954 | − | 0.0160165i | ||||
\(309\) | 173.637 | + | 323.751i | 0.561933 | + | 1.04774i | ||||
\(310\) | 58.1906 | + | 48.8277i | 0.187712 | + | 0.157509i | ||||
\(311\) | 280.533 | − | 334.326i | 0.902036 | − | 1.07500i | −0.0947982 | − | 0.995497i | \(-0.530221\pi\) |
0.996834 | − | 0.0795082i | \(-0.0253350\pi\) | |||||||
\(312\) | −8.76314 | + | 279.781i | −0.0280870 | + | 0.896734i | ||||
\(313\) | 386.486 | + | 140.669i | 1.23478 | + | 0.449423i | 0.875232 | − | 0.483703i | \(-0.160709\pi\) |
0.359548 | + | 0.933127i | \(0.382931\pi\) | |||||||
\(314\) | −117.733 | − | 67.9734i | −0.374947 | − | 0.216476i | ||||
\(315\) | 63.4556 | − | 66.6629i | 0.201446 | − | 0.211628i | ||||
\(316\) | 53.5122 | + | 92.6858i | 0.169342 | + | 0.293310i | ||||
\(317\) | 402.773 | − | 71.0197i | 1.27058 | − | 0.224037i | 0.502602 | − | 0.864518i | \(-0.332376\pi\) |
0.767974 | + | 0.640481i | \(0.221265\pi\) | |||||||
\(318\) | −66.7521 | − | 59.6707i | −0.209912 | − | 0.187644i | ||||
\(319\) | −40.5608 | + | 14.7629i | −0.127150 | + | 0.0462788i | ||||
\(320\) | −254.756 | − | 44.9203i | −0.796112 | − | 0.140376i | ||||
\(321\) | 237.781 | − | 34.2902i | 0.740752 | − | 0.106823i | ||||
\(322\) | −1.06570 | + | 0.894231i | −0.00330964 | + | 0.00277711i | ||||
\(323\) | 275.764i | 0.853757i | ||||||||
\(324\) | −115.040 | − | 273.348i | −0.355061 | − | 0.843667i | ||||
\(325\) | −706.713 | −2.17450 | ||||||||
\(326\) | −24.6396 | − | 29.3643i | −0.0755815 | − | 0.0900745i | ||||
\(327\) | 41.4537 | + | 287.456i | 0.126770 | + | 0.879069i | ||||
\(328\) | 3.72491 | − | 21.1250i | 0.0113564 | − | 0.0644056i | ||||
\(329\) | 20.9023 | + | 57.4286i | 0.0635329 | + | 0.174555i | ||||
\(330\) | −9.58726 | + | 10.7250i | −0.0290523 | + | 0.0325001i | ||||
\(331\) | −56.8942 | − | 322.663i | −0.171886 | − | 0.974812i | −0.941677 | − | 0.336517i | \(-0.890751\pi\) |
0.769792 | − | 0.638295i | \(-0.220360\pi\) | |||||||
\(332\) | −375.841 | + | 216.992i | −1.13205 | + | 0.653591i | ||||
\(333\) | −7.61253 | + | 31.4953i | −0.0228605 | + | 0.0945805i | ||||
\(334\) | 48.7570 | − | 84.4496i | 0.145979 | − | 0.252843i | ||||
\(335\) | 51.2120 | − | 140.704i | 0.152872 | − | 0.420011i | ||||
\(336\) | −48.2021 | − | 1.50976i | −0.143459 | − | 0.00449333i | ||||
\(337\) | −430.977 | − | 361.633i | −1.27886 | − | 1.07309i | −0.993400 | − | 0.114705i | \(-0.963408\pi\) |
−0.285464 | − | 0.958389i | \(-0.592148\pi\) | |||||||
\(338\) | 100.616 | − | 119.909i | 0.297680 | − | 0.354761i | ||||
\(339\) | 170.884 | − | 91.6502i | 0.504082 | − | 0.270354i | ||||
\(340\) | −371.155 | − | 135.089i | −1.09163 | − | 0.397321i | ||||
\(341\) | 15.8500 | + | 9.15103i | 0.0464811 | + | 0.0268359i | ||||
\(342\) | 6.42314 | − | 102.435i | 0.0187811 | − | 0.299518i | ||||
\(343\) | 64.1768 | + | 111.157i | 0.187104 | + | 0.324074i | ||||
\(344\) | −75.4431 | + | 13.3027i | −0.219311 | + | 0.0386705i | ||||
\(345\) | −39.1521 | + | 12.8771i | −0.113484 | + | 0.0373249i | ||||
\(346\) | −145.305 | + | 52.8867i | −0.419957 | + | 0.152852i | ||||
\(347\) | 240.215 | + | 42.3563i | 0.692261 | + | 0.122064i | 0.508700 | − | 0.860944i | \(-0.330126\pi\) |
0.183561 | + | 0.983008i | \(0.441237\pi\) | |||||||
\(348\) | 272.812 | + | 346.608i | 0.783944 | + | 0.996000i | ||||
\(349\) | −282.886 | + | 237.369i | −0.810561 | + | 0.680141i | −0.950742 | − | 0.309985i | \(-0.899676\pi\) |
0.140181 | + | 0.990126i | \(0.455232\pi\) | |||||||
\(350\) | 26.2140i | 0.0748971i | ||||||||
\(351\) | −149.883 | + | 544.815i | −0.427017 | + | 1.55218i | ||||
\(352\) | 26.7066 | 0.0758711 | ||||||||
\(353\) | 60.3702 | + | 71.9464i | 0.171020 | + | 0.203814i | 0.844746 | − | 0.535167i | \(-0.179751\pi\) |
−0.673726 | + | 0.738982i | \(0.735307\pi\) | |||||||
\(354\) | 151.905 | + | 60.7390i | 0.429109 | + | 0.171579i | ||||
\(355\) | −115.245 | + | 653.586i | −0.324633 | + | 1.84109i | ||||
\(356\) | −151.661 | − | 416.684i | −0.426013 | − | 1.17046i | ||||
\(357\) | −55.1251 | − | 11.5102i | −0.154412 | − | 0.0322415i | ||||
\(358\) | 24.9177 | + | 141.315i | 0.0696026 | + | 0.394736i | ||||
\(359\) | 89.5202 | − | 51.6845i | 0.249360 | − | 0.143968i | −0.370111 | − | 0.928987i | \(-0.620680\pi\) |
0.619471 | + | 0.785019i | \(0.287347\pi\) | |||||||
\(360\) | 281.907 | + | 123.092i | 0.783074 | + | 0.341921i | ||||
\(361\) | −11.5145 | + | 19.9437i | −0.0318962 | + | 0.0552458i | ||||
\(362\) | 0.266993 | − | 0.733557i | 0.000737550 | − | 0.00202640i | ||||
\(363\) | 189.427 | − | 305.585i | 0.521836 | − | 0.841832i | ||||
\(364\) | 78.3002 | + | 65.7016i | 0.215110 | + | 0.180499i | ||||
\(365\) | −178.139 | + | 212.298i | −0.488053 | + | 0.581639i | ||||
\(366\) | 33.2283 | + | 20.5976i | 0.0907877 | + | 0.0562776i | ||||
\(367\) | 85.2083 | + | 31.0133i | 0.232175 | + | 0.0845048i | 0.455488 | − | 0.890242i | \(-0.349465\pi\) |
−0.223313 | + | 0.974747i | \(0.571687\pi\) | |||||||
\(368\) | 18.7031 | + | 10.7982i | 0.0508236 | + | 0.0293430i | ||||
\(369\) | 17.3275 | − | 39.6838i | 0.0469580 | − | 0.107544i | ||||
\(370\) | −8.03070 | − | 13.9096i | −0.0217046 | − | 0.0375935i | ||||
\(371\) | −67.3726 | + | 11.8796i | −0.181597 | + | 0.0320205i | ||||
\(372\) | 38.2276 | − | 183.081i | 0.102762 | − | 0.492154i | ||||
\(373\) | 406.838 | − | 148.077i | 1.09072 | − | 0.396989i | 0.266831 | − | 0.963743i | \(-0.414023\pi\) |
0.823887 | + | 0.566754i | \(0.191801\pi\) | |||||||
\(374\) | 8.66833 | + | 1.52846i | 0.0231774 | + | 0.00408679i | ||||
\(375\) | −74.8729 | + | 187.252i | −0.199661 | + | 0.499340i | ||||
\(376\) | −156.473 | + | 131.296i | −0.416151 | + | 0.349192i | ||||
\(377\) | − | 840.420i | − | 2.22923i | ||||||
\(378\) | 20.2087 | + | 5.55958i | 0.0534622 | + | 0.0147079i | ||||
\(379\) | 333.700 | 0.880476 | 0.440238 | − | 0.897881i | \(-0.354894\pi\) | ||||
0.440238 | + | 0.897881i | \(0.354894\pi\) | |||||||
\(380\) | −353.561 | − | 421.357i | −0.930423 | − | 1.10883i | ||||
\(381\) | −390.049 | + | 307.005i | −1.02375 | + | 0.805787i | ||||
\(382\) | 4.69296 | − | 26.6151i | 0.0122852 | − | 0.0696730i | ||||
\(383\) | 203.470 | + | 559.030i | 0.531254 | + | 1.45961i | 0.857579 | + | 0.514352i | \(0.171967\pi\) |
−0.326325 | + | 0.945258i | \(0.605810\pi\) | |||||||
\(384\) | −111.561 | − | 339.195i | −0.290524 | − | 0.883321i | ||||
\(385\) | 1.90869 | + | 10.8247i | 0.00495764 | + | 0.0281162i | ||||
\(386\) | 71.7937 | − | 41.4501i | 0.185994 | − | 0.107384i | ||||
\(387\) | −154.339 | − | 9.67773i | −0.398809 | − | 0.0250071i | ||||
\(388\) | 17.6386 | − | 30.5509i | 0.0454603 | − | 0.0787395i | ||||
\(389\) | 106.062 | − | 291.404i | 0.272654 | − | 0.749111i | −0.725491 | − | 0.688232i | \(-0.758387\pi\) |
0.998145 | − | 0.0608795i | \(-0.0193905\pi\) | |||||||
\(390\) | −132.383 | − | 246.832i | −0.339444 | − | 0.632901i | ||||
\(391\) | 19.3185 | + | 16.2102i | 0.0494079 | + | 0.0414582i | ||||
\(392\) | −135.326 | + | 161.275i | −0.345219 | + | 0.411416i | ||||
\(393\) | 3.44771 | − | 110.075i | 0.00877281 | − | 0.280090i | ||||
\(394\) | 29.5793 | + | 10.7660i | 0.0750744 | + | 0.0273248i | ||||
\(395\) | −194.064 | − | 112.043i | −0.491302 | − | 0.283653i | ||||
\(396\) | 34.4276 | + | 8.32127i | 0.0869383 | + | 0.0210133i | ||||
\(397\) | −69.0323 | − | 119.567i | −0.173885 | − | 0.301177i | 0.765890 | − | 0.642972i | \(-0.222299\pi\) |
−0.939775 | + | 0.341794i | \(0.888965\pi\) | |||||||
\(398\) | 188.477 | − | 33.2336i | 0.473561 | − | 0.0835015i | ||||
\(399\) | −58.4679 | − | 52.2653i | −0.146536 | − | 0.130991i | ||||
\(400\) | 382.401 | − | 139.183i | 0.956003 | − | 0.347956i | ||||
\(401\) | 266.978 | + | 47.0754i | 0.665780 | + | 0.117395i | 0.496317 | − | 0.868142i | \(-0.334686\pi\) |
0.169463 | + | 0.985537i | \(0.445797\pi\) | |||||||
\(402\) | 33.7501 | − | 4.86708i | 0.0839556 | − | 0.0121072i | ||||
\(403\) | −272.979 | + | 229.057i | −0.677368 | + | 0.568379i | ||||
\(404\) | − | 14.1192i | − | 0.0349486i | ||||||
\(405\) | 494.765 | + | 375.220i | 1.22164 | + | 0.926469i | ||||
\(406\) | −31.1735 | −0.0767821 | ||||||||
\(407\) | −2.48744 | − | 2.96441i | −0.00611164 | − | 0.00728357i | ||||
\(408\) | −26.8647 | − | 186.290i | −0.0658448 | − | 0.456593i | ||||
\(409\) | 50.3565 | − | 285.586i | 0.123121 | − | 0.698254i | −0.859285 | − | 0.511497i | \(-0.829091\pi\) |
0.982406 | − | 0.186757i | \(-0.0597976\pi\) | |||||||
\(410\) | 7.34118 | + | 20.1697i | 0.0179053 | + | 0.0491944i | ||||
\(411\) | 233.174 | − | 260.845i | 0.567332 | − | 0.634660i | ||||
\(412\) | 77.8573 | + | 441.551i | 0.188974 | + | 1.07173i | ||||
\(413\) | 108.255 | − | 62.5013i | 0.262120 | − | 0.151335i | ||||
\(414\) | −6.79849 | − | 6.47140i | −0.0164215 | − | 0.0156314i | ||||
\(415\) | 454.335 | − | 786.932i | 1.09478 | − | 1.89622i | ||||
\(416\) | −177.847 | + | 488.630i | −0.427517 | + | 1.17459i | ||||
\(417\) | 295.444 | + | 9.25373i | 0.708499 | + | 0.0221912i | ||||
\(418\) | 9.38999 | + | 7.87914i | 0.0224641 | + | 0.0188496i | ||||
\(419\) | −215.521 | + | 256.848i | −0.514371 | + | 0.613003i | −0.959240 | − | 0.282592i | \(-0.908806\pi\) |
0.444870 | + | 0.895595i | \(0.353250\pi\) | |||||||
\(420\) | 98.9867 | − | 53.0895i | 0.235683 | − | 0.126404i | ||||
\(421\) | −566.754 | − | 206.282i | −1.34621 | − | 0.489980i | −0.434447 | − | 0.900697i | \(-0.643056\pi\) |
−0.911763 | + | 0.410717i | \(0.865278\pi\) | |||||||
\(422\) | 47.7608 | + | 27.5747i | 0.113177 | + | 0.0653429i | ||||
\(423\) | −369.290 | + | 183.414i | −0.873027 | + | 0.433602i | ||||
\(424\) | −114.326 | − | 198.018i | −0.269636 | − | 0.467024i | ||||
\(425\) | 467.974 | − | 82.5165i | 1.10112 | − | 0.194156i | ||||
\(426\) | −143.573 | + | 47.2210i | −0.337026 | + | 0.110847i | ||||
\(427\) | 28.0700 | − | 10.2167i | 0.0657378 | − | 0.0239266i | ||||
\(428\) | 288.748 | + | 50.9140i | 0.674644 | + | 0.118958i | ||||
\(429\) | −41.7382 | − | 53.0284i | −0.0972919 | − | 0.123609i | ||||
\(430\) | 58.7206 | − | 49.2724i | 0.136560 | − | 0.114587i | ||||
\(431\) | 773.546i | 1.79477i | 0.441247 | + | 0.897385i | \(0.354536\pi\) | ||||
−0.441247 | + | 0.897385i | \(0.645464\pi\) | |||||||
\(432\) | −26.1965 | − | 324.317i | −0.0606400 | − | 0.750733i | ||||
\(433\) | 71.6603 | 0.165497 | 0.0827486 | − | 0.996570i | \(-0.473630\pi\) | ||||
0.0827486 | + | 0.996570i | \(0.473630\pi\) | |||||||
\(434\) | 8.49636 | + | 10.1256i | 0.0195769 | + | 0.0233308i | ||||
\(435\) | −857.545 | − | 342.889i | −1.97137 | − | 0.788251i | ||||
\(436\) | −61.5503 | + | 349.069i | −0.141170 | + | 0.800617i | ||||
\(437\) | 12.0115 | + | 33.0014i | 0.0274863 | + | 0.0755181i | ||||
\(438\) | −61.7805 | − | 12.8999i | −0.141051 | − | 0.0294517i | ||||
\(439\) | −118.933 | − | 674.503i | −0.270918 | − | 1.53645i | −0.751636 | − | 0.659579i | \(-0.770735\pi\) |
0.480717 | − | 0.876876i | \(-0.340376\pi\) | |||||||
\(440\) | −31.8155 | + | 18.3687i | −0.0723079 | + | 0.0417470i | ||||
\(441\) | −342.015 | + | 252.266i | −0.775544 | + | 0.572031i | ||||
\(442\) | −85.6900 | + | 148.419i | −0.193869 | + | 0.335790i | ||||
\(443\) | −155.729 | + | 427.863i | −0.351534 | + | 0.965831i | 0.630344 | + | 0.776316i | \(0.282914\pi\) |
−0.981878 | + | 0.189515i | \(0.939308\pi\) | |||||||
\(444\) | −20.8351 | + | 33.6114i | −0.0469259 | + | 0.0757014i | ||||
\(445\) | 711.226 | + | 596.789i | 1.59826 | + | 1.34110i | ||||
\(446\) | −30.3985 | + | 36.2276i | −0.0681582 | + | 0.0812278i | ||||
\(447\) | 354.326 | + | 219.640i | 0.792675 | + | 0.491365i | ||||
\(448\) | −42.2985 | − | 15.3954i | −0.0944163 | − | 0.0343647i | ||||
\(449\) | −456.689 | − | 263.670i | −1.01713 | − | 0.587238i | −0.103856 | − | 0.994592i | \(-0.533118\pi\) |
−0.913270 | + | 0.407355i | \(0.866451\pi\) | |||||||
\(450\) | −175.756 | + | 19.7515i | −0.390569 | + | 0.0438922i | ||||
\(451\) | 2.58574 | + | 4.47864i | 0.00573336 | + | 0.00993046i | ||||
\(452\) | 233.062 | − | 41.0951i | 0.515623 | − | 0.0909183i | ||||
\(453\) | −79.9661 | + | 382.976i | −0.176526 | + | 0.845423i | ||||
\(454\) | −91.7564 | + | 33.3966i | −0.202107 | + | 0.0735608i | ||||
\(455\) | −210.762 | − | 37.1631i | −0.463214 | − | 0.0816770i | ||||
\(456\) | 97.3142 | − | 243.377i | 0.213408 | − | 0.533721i | ||||
\(457\) | −112.672 | + | 94.5433i | −0.246548 | + | 0.206878i | −0.757684 | − | 0.652622i | \(-0.773669\pi\) |
0.511136 | + | 0.859500i | \(0.329225\pi\) | |||||||
\(458\) | − | 42.7281i | − | 0.0932928i | ||||||
\(459\) | 35.6369 | − | 378.268i | 0.0776404 | − | 0.824114i | ||||
\(460\) | −50.3013 | −0.109351 | ||||||||
\(461\) | −230.109 | − | 274.233i | −0.499152 | − | 0.594866i | 0.456368 | − | 0.889791i | \(-0.349150\pi\) |
−0.955521 | + | 0.294924i | \(0.904706\pi\) | |||||||
\(462\) | −1.96697 | + | 1.54819i | −0.00425752 | + | 0.00335106i | ||||
\(463\) | 71.1591 | − | 403.563i | 0.153691 | − | 0.871627i | −0.806281 | − | 0.591533i | \(-0.798523\pi\) |
0.959972 | − | 0.280095i | \(-0.0903659\pi\) | |||||||
\(464\) | 165.515 | + | 454.750i | 0.356714 | + | 0.980064i | ||||
\(465\) | 122.349 | + | 371.996i | 0.263117 | + | 0.799992i | ||||
\(466\) | 18.5578 | + | 105.246i | 0.0398235 | + | 0.225850i | ||||
\(467\) | −778.946 | + | 449.725i | −1.66798 | + | 0.963008i | −0.699252 | + | 0.714876i | \(0.746483\pi\) |
−0.968726 | + | 0.248132i | \(0.920183\pi\) | |||||||
\(468\) | −381.511 | + | 574.481i | −0.815194 | + | 1.22752i | ||||
\(469\) | 13.0274 | − | 22.5641i | 0.0277769 | − | 0.0481110i | ||||
\(470\) | 69.9044 | − | 192.061i | 0.148733 | − | 0.408640i | ||||
\(471\) | −331.243 | − | 617.610i | −0.703276 | − | 1.31127i | ||||
\(472\) | 320.048 | + | 268.552i | 0.678068 | + | 0.568966i | ||||
\(473\) | 11.8715 | − | 14.1479i | 0.0250983 | − | 0.0299110i | ||||
\(474\) | 1.59760 | − | 51.0067i | 0.00337047 | − | 0.107609i | ||||
\(475\) | 621.847 | + | 226.334i | 1.30915 | + | 0.476492i | ||||
\(476\) | −59.5205 | − | 34.3642i | −0.125043 | − | 0.0721937i | ||||
\(477\) | −130.412 | − | 442.760i | −0.273401 | − | 0.928218i | ||||
\(478\) | 2.57499 | + | 4.46001i | 0.00538701 | + | 0.00933057i | ||||
\(479\) | 822.620 | − | 145.050i | 1.71737 | − | 0.302819i | 0.773662 | − | 0.633599i | \(-0.218423\pi\) |
0.943708 | + | 0.330780i | \(0.107312\pi\) | |||||||
\(480\) | 426.026 | + | 380.831i | 0.887554 | + | 0.793397i | ||||
\(481\) | 70.8021 | − | 25.7699i | 0.147198 | − | 0.0535756i | ||||
\(482\) | 9.12045 | + | 1.60818i | 0.0189221 | + | 0.00333647i | ||||
\(483\) | −7.09834 | + | 1.02364i | −0.0146963 | + | 0.00211935i | ||||
\(484\) | 336.135 | − | 282.051i | 0.694494 | − | 0.582749i | ||||
\(485\) | 73.8629i | 0.152295i | ||||||||
\(486\) | −22.0484 | + | 139.682i | −0.0453671 | + | 0.287411i | ||||
\(487\) | −601.667 | −1.23546 | −0.617728 | − | 0.786392i | \(-0.711947\pi\) | ||||
−0.617728 | + | 0.786392i | \(0.711947\pi\) | |||||||
\(488\) | 64.1752 | + | 76.4810i | 0.131506 | + | 0.156723i | ||||
\(489\) | −28.2054 | − | 195.587i | −0.0576798 | − | 0.399973i | ||||
\(490\) | 36.5807 | − | 207.460i | 0.0746545 | − | 0.423387i | ||||
\(491\) | −146.639 | − | 402.888i | −0.298655 | − | 0.820547i | −0.994725 | − | 0.102574i | \(-0.967292\pi\) |
0.696071 | − | 0.717973i | \(-0.254930\pi\) | |||||||
\(492\) | 35.2205 | − | 39.4003i | 0.0715865 | − | 0.0800820i | ||||
\(493\) | 98.1282 | + | 556.513i | 0.199043 | + | 1.12883i | ||||
\(494\) | −206.689 | + | 119.332i | −0.418399 | + | 0.241563i | ||||
\(495\) | −71.1380 | + | 20.9533i | −0.143713 | + | 0.0423298i | ||||
\(496\) | 102.597 | − | 177.704i | 0.206849 | − | 0.358274i | ||||
\(497\) | −39.4975 | + | 108.519i | −0.0794719 | + | 0.218347i | ||||
\(498\) | 206.832 | + | 6.47828i | 0.415326 | + | 0.0130086i | ||||
\(499\) | −435.651 | − | 365.554i | −0.873048 | − | 0.732574i | 0.0916899 | − | 0.995788i | \(-0.470773\pi\) |
−0.964738 | + | 0.263214i | \(0.915218\pi\) | |||||||
\(500\) | −158.205 | + | 188.542i | −0.316411 | + | 0.377084i | ||||
\(501\) | 443.009 | − | 237.599i | 0.884249 | − | 0.474249i | ||||
\(502\) | −144.507 | − | 52.5961i | −0.287862 | − | 0.104773i | ||||
\(503\) | 178.281 | + | 102.930i | 0.354435 | + | 0.204633i | 0.666637 | − | 0.745383i | \(-0.267733\pi\) |
−0.312202 | + | 0.950016i | \(0.601067\pi\) | |||||||
\(504\) | 44.5892 | + | 29.6115i | 0.0884706 | + | 0.0587530i | ||||
\(505\) | 14.7813 | + | 25.6020i | 0.0292700 | + | 0.0506971i | ||||
\(506\) | 1.10394 | − | 0.194654i | 0.00218170 | − | 0.000384692i | ||||
\(507\) | 766.547 | − | 252.117i | 1.51193 | − | 0.497272i | ||||
\(508\) | −569.269 | + | 207.197i | −1.12061 | + | 0.407868i | ||||
\(509\) | 663.268 | + | 116.952i | 1.30308 | + | 0.229768i | 0.781753 | − | 0.623589i | \(-0.214326\pi\) |
0.521327 | + | 0.853357i | \(0.325437\pi\) | |||||||
\(510\) | 116.482 | + | 147.991i | 0.228397 | + | 0.290178i | ||||
\(511\) | −36.9414 | + | 30.9975i | −0.0722924 | + | 0.0606605i | ||||
\(512\) | − | 514.334i | − | 1.00456i | ||||||
\(513\) | 306.368 | − | 431.388i | 0.597208 | − | 0.840913i | ||||
\(514\) | 199.097 | 0.387347 | ||||||||
\(515\) | −603.433 | − | 719.144i | −1.17172 | − | 1.39640i | ||||
\(516\) | −175.243 | − | 70.0710i | −0.339619 | − | 0.135797i | ||||
\(517\) | 8.55115 | − | 48.4960i | 0.0165399 | − | 0.0938027i | ||||
\(518\) | −0.955876 | − | 2.62625i | −0.00184532 | − | 0.00506998i | ||||
\(519\) | −780.319 | − | 162.932i | −1.50351 | − | 0.313934i | ||||
\(520\) | −124.209 | − | 704.425i | −0.238864 | − | 1.35466i | ||||
\(521\) | 678.655 | − | 391.821i | 1.30260 | − | 0.752056i | 0.321751 | − | 0.946824i | \(-0.395729\pi\) |
0.980849 | + | 0.194768i | \(0.0623954\pi\) | |||||||
\(522\) | −23.4884 | − | 209.008i | −0.0449969 | − | 0.400399i | ||||
\(523\) | −231.463 | + | 400.906i | −0.442569 | + | 0.766551i | −0.997879 | − | 0.0650916i | \(-0.979266\pi\) |
0.555311 | + | 0.831643i | \(0.312599\pi\) | |||||||
\(524\) | 45.9700 | − | 126.301i | 0.0877290 | − | 0.241033i | ||||
\(525\) | −71.1996 | + | 114.860i | −0.135618 | + | 0.218781i | ||||
\(526\) | 169.573 | + | 142.289i | 0.322383 | + | 0.270511i | ||||
\(527\) | 154.018 | − | 183.551i | 0.292254 | − | 0.348294i | ||||
\(528\) | 33.0281 | + | 20.4735i | 0.0625532 | + | 0.0387755i | ||||
\(529\) | −494.079 | − | 179.830i | −0.933988 | − | 0.339944i | ||||
\(530\) | 198.140 | + | 114.396i | 0.373850 | + | 0.215842i | ||||
\(531\) | 500.617 | + | 678.723i | 0.942782 | + | 1.27820i | ||||
\(532\) | −47.8556 | − | 82.8884i | −0.0899542 | − | 0.155805i | ||||
\(533\) | −99.1614 | + | 17.4848i | −0.186044 | + | 0.0328046i | ||||
\(534\) | −43.2161 | + | 206.972i | −0.0809291 | + | 0.387589i | ||||
\(535\) | −576.880 | + | 209.967i | −1.07828 | + | 0.392462i | ||||
\(536\) | 85.7591 | + | 15.1217i | 0.159998 | + | 0.0282120i | ||||
\(537\) | −274.646 | + | 686.872i | −0.511444 | + | 1.27909i | ||||
\(538\) | 39.6442 | − | 33.2654i | 0.0736881 | − | 0.0618317i | ||||
\(539\) | − | 50.7555i | − | 0.0941661i | ||||||
\(540\) | 430.531 | + | 623.671i | 0.797280 | + | 1.15495i | ||||
\(541\) | 595.277 | 1.10033 | 0.550164 | − | 0.835057i | \(-0.314565\pi\) | ||||
0.550164 | + | 0.835057i | \(0.314565\pi\) | |||||||
\(542\) | −182.215 | − | 217.155i | −0.336190 | − | 0.400655i | ||||
\(543\) | 3.16228 | − | 2.48900i | 0.00582371 | − | 0.00458380i | ||||
\(544\) | 60.7145 | − | 344.329i | 0.111607 | − | 0.632957i | ||||
\(545\) | −253.831 | − | 697.394i | −0.465744 | − | 1.27962i | ||||
\(546\) | −15.2274 | − | 46.2980i | −0.0278890 | − | 0.0847949i | ||||
\(547\) | 175.350 | + | 994.459i | 0.320567 | + | 1.81802i | 0.539154 | + | 0.842207i | \(0.318744\pi\) |
−0.218588 | + | 0.975817i | \(0.570145\pi\) | |||||||
\(548\) | 369.793 | − | 213.500i | 0.674805 | − | 0.389599i | ||||
\(549\) | 89.6492 | + | 180.502i | 0.163296 | + | 0.328784i | ||||
\(550\) | 10.5612 | − | 18.2926i | 0.0192022 | − | 0.0332593i | ||||
\(551\) | −269.155 | + | 739.497i | −0.488485 | + | 1.34210i | ||||
\(552\) | −11.3293 | − | 21.1237i | −0.0205240 | − | 0.0382675i | ||||
\(553\) | −29.8701 | − | 25.0639i | −0.0540146 | − | 0.0453236i | ||||
\(554\) | −32.7177 | + | 38.9914i | −0.0590572 | + | 0.0703816i | ||||
\(555\) | 2.59212 | − | 82.7588i | 0.00467049 | − | 0.149115i | ||||
\(556\) | 338.995 | + | 123.384i | 0.609704 | + | 0.221914i | ||||
\(557\) | 53.4658 | + | 30.8685i | 0.0959889 | + | 0.0554192i | 0.547226 | − | 0.836985i | \(-0.315684\pi\) |
−0.451237 | + | 0.892404i | \(0.649017\pi\) | |||||||
\(558\) | −61.4868 | + | 64.5946i | −0.110191 | + | 0.115761i | ||||
\(559\) | 179.797 | + | 311.418i | 0.321641 | + | 0.557099i | ||||
\(560\) | 121.362 | − | 21.3994i | 0.216718 | − | 0.0382132i | ||||
\(561\) | 33.8300 | + | 30.2412i | 0.0603031 | + | 0.0539058i | ||||
\(562\) | 88.2351 | − | 32.1149i | 0.157002 | − | 0.0571440i | ||||
\(563\) | −955.335 | − | 168.451i | −1.69686 | − | 0.299203i | −0.760267 | − | 0.649611i | \(-0.774932\pi\) |
−0.936597 | + | 0.350408i | \(0.886043\pi\) | |||||||
\(564\) | −498.075 | + | 71.8270i | −0.883112 | + | 0.127353i | ||||
\(565\) | −379.582 | + | 318.507i | −0.671827 | + | 0.563730i | ||||
\(566\) | 79.8559i | 0.141088i | ||||||||
\(567\) | 73.4469 | + | 79.2488i | 0.129536 | + | 0.139769i | ||||
\(568\) | −385.976 | −0.679535 | ||||||||
\(569\) | −61.7612 | − | 73.6041i | −0.108543 | − | 0.129357i | 0.709037 | − | 0.705171i | \(-0.249130\pi\) |
−0.817581 | + | 0.575814i | \(0.804685\pi\) | |||||||
\(570\) | 37.4349 | + | 259.588i | 0.0656753 | + | 0.455417i | ||||
\(571\) | −112.283 | + | 636.787i | −0.196642 | + | 1.11521i | 0.713419 | + | 0.700738i | \(0.247146\pi\) |
−0.910061 | + | 0.414475i | \(0.863965\pi\) | |||||||
\(572\) | −28.1691 | − | 77.3938i | −0.0492466 | − | 0.135304i | ||||
\(573\) | 92.8519 | − | 103.871i | 0.162045 | − | 0.181276i | ||||
\(574\) | 0.648561 | + | 3.67817i | 0.00112990 | + | 0.00640797i | ||||
\(575\) | 52.4096 | − | 30.2587i | 0.0911471 | − | 0.0526238i | ||||
\(576\) | 71.3503 | − | 295.197i | 0.123872 | − | 0.512496i | ||||
\(577\) | −126.992 | + | 219.957i | −0.220091 | + | 0.381208i | −0.954835 | − | 0.297136i | \(-0.903969\pi\) |
0.734745 | + | 0.678344i | \(0.237302\pi\) | |||||||
\(578\) | −18.1081 | + | 49.7516i | −0.0313289 | + | 0.0860755i | ||||
\(579\) | 427.156 | + | 13.3791i | 0.737748 | + | 0.0231073i | ||||
\(580\) | −863.450 | − | 724.520i | −1.48871 | − | 1.24917i | ||||
\(581\) | 101.634 | − | 121.123i | 0.174930 | − | 0.208474i | ||||
\(582\) | −14.8236 | + | 7.95032i | −0.0254700 | + | 0.0136603i | ||||
\(583\) | 51.8000 | + | 18.8537i | 0.0888507 | + | 0.0323390i | ||||
\(584\) | −139.583 | − | 80.5883i | −0.239012 | − | 0.137994i | ||||
\(585\) | 90.3626 | − | 1441.09i | 0.154466 | − | 2.46340i | ||||
\(586\) | 112.981 | + | 195.689i | 0.192801 | + | 0.333940i | ||||
\(587\) | −220.174 | + | 38.8225i | −0.375083 | + | 0.0661372i | −0.358012 | − | 0.933717i | \(-0.616545\pi\) |
−0.0170710 | + | 0.999854i | \(0.505434\pi\) | |||||||
\(588\) | −492.708 | + | 162.051i | −0.837938 | + | 0.275597i | ||||
\(589\) | 313.557 | − | 114.125i | 0.532354 | − | 0.193761i | ||||
\(590\) | −411.700 | − | 72.5938i | −0.697796 | − | 0.123040i | ||||
\(591\) | 100.364 | + | 127.513i | 0.169821 | + | 0.215758i | ||||
\(592\) | −33.2357 | + | 27.8880i | −0.0561413 | + | 0.0471082i | ||||
\(593\) | 69.9992i | 0.118042i | 0.998257 | + | 0.0590212i | \(0.0187980\pi\) | ||||
−0.998257 | + | 0.0590212i | \(0.981202\pi\) | |||||||
\(594\) | −11.8621 | − | 12.0214i | −0.0199699 | − | 0.0202380i | ||||
\(595\) | 143.903 | 0.241853 | ||||||||
\(596\) | 327.038 | + | 389.748i | 0.548721 | + | 0.653940i | ||||
\(597\) | 916.103 | + | 366.304i | 1.53451 | + | 0.613574i | ||||
\(598\) | −3.79001 | + | 21.4942i | −0.00633780 | + | 0.0359435i | ||||
\(599\) | 143.261 | + | 393.606i | 0.239167 | + | 0.657105i | 0.999967 | + | 0.00811910i | \(0.00258442\pi\) |
−0.760800 | + | 0.648986i | \(0.775193\pi\) | |||||||
\(600\) | −442.133 | − | 92.3180i | −0.736888 | − | 0.153863i | ||||
\(601\) | −137.993 | − | 782.595i | −0.229605 | − | 1.30216i | −0.853683 | − | 0.520793i | \(-0.825636\pi\) |
0.624078 | − | 0.781362i | \(-0.285475\pi\) | |||||||
\(602\) | 11.5514 | − | 6.66919i | 0.0191883 | − | 0.0110784i | ||||
\(603\) | 161.100 | + | 70.3428i | 0.267165 | + | 0.116655i | ||||
\(604\) | −238.742 | + | 413.513i | −0.395268 | + | 0.684624i | ||||
\(605\) | −314.227 | + | 863.332i | −0.519384 | + | 1.42700i | ||||
\(606\) | −3.54707 | + | 5.72218i | −0.00585325 | + | 0.00944254i | ||||
\(607\) | 251.711 | + | 211.211i | 0.414681 | + | 0.347959i | 0.826135 | − | 0.563472i | \(-0.190535\pi\) |
−0.411454 | + | 0.911430i | \(0.634979\pi\) | |||||||
\(608\) | 312.980 | − | 372.995i | 0.514770 | − | 0.613479i | ||||
\(609\) | −136.591 | − | 84.6703i | −0.224288 | − | 0.139032i | ||||
\(610\) | −93.8758 | − | 34.1680i | −0.153895 | − | 0.0560131i | ||||
\(611\) | 830.349 | + | 479.402i | 1.35900 | + | 0.784619i | ||||
\(612\) | 185.553 | − | 424.957i | 0.303192 | − | 0.694375i | ||||
\(613\) | −367.664 | − | 636.812i | −0.599778 | − | 1.03885i | −0.992853 | − | 0.119340i | \(-0.961922\pi\) |
0.393076 | − | 0.919506i | \(-0.371411\pi\) | |||||||
\(614\) | 237.632 | − | 41.9010i | 0.387023 | − | 0.0682427i | ||||
\(615\) | −22.6165 | + | 108.316i | −0.0367748 | + | 0.176123i | ||||
\(616\) | −6.00704 | + | 2.18638i | −0.00975169 | + | 0.00354932i | ||||
\(617\) | −331.915 | − | 58.5257i | −0.537951 | − | 0.0948552i | −0.101929 | − | 0.994792i | \(-0.532502\pi\) |
−0.436021 | + | 0.899936i | \(0.643613\pi\) | |||||||
\(618\) | 79.3739 | − | 198.509i | 0.128437 | − | 0.321212i | ||||
\(619\) | 900.806 | − | 755.866i | 1.45526 | − | 1.22111i | 0.526633 | − | 0.850093i | \(-0.323454\pi\) |
0.928627 | − | 0.371015i | \(-0.120990\pi\) | |||||||
\(620\) | 477.928i | 0.770851i | ||||||||
\(621\) | −12.2116 | − | 46.8207i | −0.0196644 | − | 0.0753956i | ||||
\(622\) | −253.977 | −0.408323 | ||||||||
\(623\) | 103.846 | + | 123.758i | 0.166686 | + | 0.198649i | ||||
\(624\) | −594.531 | + | 467.950i | −0.952774 | + | 0.749921i | ||||
\(625\) | −57.1109 | + | 323.892i | −0.0913775 | + | 0.518227i | ||||
\(626\) | −81.8610 | − | 224.911i | −0.130768 | − | 0.359283i | ||||
\(627\) | 19.7430 | + | 60.0276i | 0.0314881 | + | 0.0957378i | ||||
\(628\) | −148.526 | − | 842.334i | −0.236507 | − | 1.34130i | ||||
\(629\) | −43.8751 | + | 25.3313i | −0.0697537 | + | 0.0402723i | ||||
\(630\) | −53.4541 | − | 3.35180i | −0.0848478 | − | 0.00532032i | ||||
\(631\) | 107.380 | − | 185.988i | 0.170175 | − | 0.294751i | −0.768306 | − | 0.640082i | \(-0.778900\pi\) |
0.938481 | + | 0.345332i | \(0.112234\pi\) | |||||||
\(632\) | 44.5734 | − | 122.464i | 0.0705276 | − | 0.193773i | ||||
\(633\) | 134.375 | + | 250.545i | 0.212283 | + | 0.395806i | ||||
\(634\) | −182.322 | − | 152.987i | −0.287575 | − | 0.241304i | ||||
\(635\) | 815.326 | − | 971.668i | 1.28398 | − | 1.53019i | ||||
\(636\) | 17.6353 | − | 563.042i | 0.0277284 | − | 0.885287i | ||||
\(637\) | 928.634 | + | 337.995i | 1.45782 | + | 0.530605i | ||||
\(638\) | 21.7535 | + | 12.5594i | 0.0340964 | + | 0.0196855i | ||||
\(639\) | −757.341 | − | 183.052i | −1.18520 | − | 0.286466i | ||||
\(640\) | 456.222 | + | 790.199i | 0.712846 | + | 1.23469i | ||||
\(641\) | −979.635 | + | 172.736i | −1.52829 | + | 0.269479i | −0.873685 | − | 0.486491i | \(-0.838276\pi\) |
−0.654606 | + | 0.755970i | \(0.727165\pi\) | |||||||
\(642\) | −104.231 | − | 93.1741i | −0.162354 | − | 0.145131i | ||||
\(643\) | 797.989 | − | 290.444i | 1.24104 | − | 0.451702i | 0.363675 | − | 0.931526i | \(-0.381522\pi\) |
0.877365 | + | 0.479824i | \(0.159300\pi\) | |||||||
\(644\) | −8.61980 | − | 1.51990i | −0.0133848 | − | 0.00236010i | ||||
\(645\) | 391.121 | − | 56.4032i | 0.606389 | − | 0.0874468i | ||||
\(646\) | 122.933 | − | 103.153i | 0.190299 | − | 0.159680i | ||||
\(647\) | − | 350.755i | − | 0.542125i | −0.962562 | − | 0.271063i | \(-0.912625\pi\) | ||
0.962562 | − | 0.271063i | \(-0.0873751\pi\) | |||||||
\(648\) | −164.939 | + | 321.267i | −0.254535 | + | 0.495782i | ||||
\(649\) | −100.723 | −0.155198 | ||||||||
\(650\) | 264.355 | + | 315.046i | 0.406700 | + | 0.484687i | ||||
\(651\) | 9.72596 | + | 67.4435i | 0.0149400 | + | 0.103600i | ||||
\(652\) | 41.8793 | − | 237.509i | 0.0642321 | − | 0.364278i | ||||
\(653\) | 96.2871 | + | 264.547i | 0.147453 | + | 0.405125i | 0.991327 | − | 0.131417i | \(-0.0419526\pi\) |
−0.843874 | + | 0.536542i | \(0.819730\pi\) | |||||||
\(654\) | 112.639 | − | 126.006i | 0.172231 | − | 0.192670i | ||||
\(655\) | 48.8681 | + | 277.145i | 0.0746078 | + | 0.423122i | ||||
\(656\) | 50.2125 | − | 28.9902i | 0.0765434 | − | 0.0441924i | ||||
\(657\) | −235.662 | − | 224.324i | −0.358694 | − | 0.341437i | ||||
\(658\) | 17.7824 | − | 30.8000i | 0.0270249 | − | 0.0468085i | ||||
\(659\) | 34.4733 | − | 94.7146i | 0.0523115 | − | 0.143725i | −0.910785 | − | 0.412881i | \(-0.864523\pi\) |
0.963097 | + | 0.269156i | \(0.0867448\pi\) | |||||||
\(660\) | −90.4638 | − | 2.83345i | −0.137066 | − | 0.00429311i | ||||
\(661\) | −555.119 | − | 465.801i | −0.839818 | − | 0.704691i | 0.117705 | − | 0.993049i | \(-0.462446\pi\) |
−0.957523 | + | 0.288358i | \(0.906891\pi\) | |||||||
\(662\) | −122.558 | + | 146.059i | −0.185133 | + | 0.220633i | ||||
\(663\) | −778.583 | + | 417.578i | −1.17433 | + | 0.629830i | ||||
\(664\) | 496.594 | + | 180.745i | 0.747882 | + | 0.272207i | ||||
\(665\) | 173.551 | + | 100.199i | 0.260978 | + | 0.150676i | ||||
\(666\) | 16.8879 | − | 8.38764i | 0.0253572 | − | 0.0125940i | ||||
\(667\) | 35.9835 | + | 62.3252i | 0.0539483 | + | 0.0934412i | ||||
\(668\) | 604.202 | − | 106.537i | 0.904494 | − | 0.159487i | ||||
\(669\) | −231.593 | + | 76.1707i | −0.346178 | + | 0.113858i | ||||
\(670\) | −81.8810 | + | 29.8022i | −0.122210 | + | 0.0444810i | ||||
\(671\) | −23.7039 | − | 4.17964i | −0.0353263 | − | 0.00622898i | ||||
\(672\) | 61.4981 | + | 78.1333i | 0.0915150 | + | 0.116270i | ||||
\(673\) | 313.428 | − | 262.997i | 0.465717 | − | 0.390783i | −0.379512 | − | 0.925187i | \(-0.623908\pi\) |
0.845229 | + | 0.534404i | \(0.179464\pi\) | |||||||
\(674\) | 327.399i | 0.485755i | ||||||||
\(675\) | −823.745 | − | 390.826i | −1.22036 | − | 0.579001i | ||||
\(676\) | 984.833 | 1.45685 | ||||||||
\(677\) | −217.703 | − | 259.448i | −0.321570 | − | 0.383232i | 0.580907 | − | 0.813970i | \(-0.302698\pi\) |
−0.902477 | + | 0.430738i | \(0.858253\pi\) | |||||||
\(678\) | −104.778 | − | 41.8955i | −0.154540 | − | 0.0617928i | ||||
\(679\) | −2.23184 | + | 12.6574i | −0.00328695 | + | 0.0186412i | ||||
\(680\) | 164.499 | + | 451.956i | 0.241910 | + | 0.664642i | ||||
\(681\) | −492.751 | − | 102.887i | −0.723570 | − | 0.151083i | ||||
\(682\) | −1.84947 | − | 10.4889i | −0.00271183 | − | 0.0153796i | ||||
\(683\) | −269.651 | + | 155.683i | −0.394804 | + | 0.227940i | −0.684239 | − | 0.729257i | \(-0.739866\pi\) |
0.289436 | + | 0.957197i | \(0.406532\pi\) | |||||||
\(684\) | 519.681 | − | 383.310i | 0.759768 | − | 0.560395i | ||||
\(685\) | −447.024 | + | 774.268i | −0.652590 | + | 1.13032i | ||||
\(686\) | 25.5468 | − | 70.1893i | 0.0372403 | − | 0.102317i | ||||
\(687\) | 116.053 | − | 187.219i | 0.168928 | − | 0.272517i | ||||
\(688\) | −158.620 | − | 133.098i | −0.230552 | − | 0.193456i | ||||
\(689\) | −689.901 | + | 822.192i | −1.00131 | + | 1.19331i | ||||
\(690\) | 20.3859 | + | 12.6368i | 0.0295447 | + | 0.0183142i | ||||
\(691\) | −777.773 | − | 283.086i | −1.12558 | − | 0.409676i | −0.288891 | − | 0.957362i | \(-0.593287\pi\) |
−0.836684 | + | 0.547686i | \(0.815509\pi\) | |||||||
\(692\) | −842.537 | − | 486.439i | −1.21754 | − | 0.702947i | ||||
\(693\) | −12.8236 | + | 1.44112i | −0.0185044 | + | 0.00207953i | ||||
\(694\) | −70.9733 | − | 122.929i | −0.102267 | − | 0.177132i | ||||
\(695\) | −743.861 | + | 131.163i | −1.07030 | + | 0.188723i | ||||
\(696\) | 109.784 | − | 525.782i | 0.157736 | − | 0.755434i | ||||
\(697\) | 63.6215 | − | 23.1563i | 0.0912791 | − | 0.0332229i | ||||
\(698\) | 211.634 | + | 37.3168i | 0.303201 | + | 0.0534625i | ||||
\(699\) | −204.545 | + | 511.556i | −0.292626 | + | 0.731839i | ||||
\(700\) | −126.343 | + | 106.014i | −0.180490 | + | 0.151449i | ||||
\(701\) | 215.718i | 0.307729i | 0.988092 | + | 0.153864i | \(0.0491718\pi\) | ||||
−0.988092 | + | 0.153864i | \(0.950828\pi\) | |||||||
\(702\) | 298.939 | − | 136.979i | 0.425839 | − | 0.195126i | ||||
\(703\) | −70.5529 | −0.100360 | ||||||||
\(704\) | 23.3141 | + | 27.7847i | 0.0331166 | + | 0.0394669i | ||||
\(705\) | 827.951 | − | 651.674i | 1.17440 | − | 0.924360i | ||||
\(706\) | 9.49079 | − | 53.8250i | 0.0134430 | − | 0.0762393i | ||||
\(707\) | 1.75939 | + | 4.83389i | 0.00248853 | + | 0.00683718i | ||||
\(708\) | 321.588 | + | 977.770i | 0.454220 | + | 1.38103i | ||||
\(709\) | 179.173 | + | 1016.14i | 0.252712 | + | 1.43320i | 0.801878 | + | 0.597487i | \(0.203834\pi\) |
−0.549167 | + | 0.835713i | \(0.685055\pi\) | |||||||
\(710\) | 334.472 | − | 193.107i | 0.471087 | − | 0.271982i | ||||
\(711\) | 145.539 | − | 219.154i | 0.204696 | − | 0.308233i | ||||
\(712\) | −269.981 | + | 467.620i | −0.379186 | + | 0.656770i | ||||
\(713\) | 10.4367 | − | 28.6747i | 0.0146378 | − | 0.0402169i | ||||
\(714\) | 15.4891 | + | 28.8798i | 0.0216935 | + | 0.0404479i | ||||
\(715\) | 132.101 | + | 110.846i | 0.184757 | + | 0.155030i | ||||
\(716\) | −580.322 | + | 691.601i | −0.810506 | + | 0.965924i | ||||
\(717\) | −0.831146 | + | 26.5361i | −0.00115920 | + | 0.0370098i | ||||
\(718\) | −56.5267 | − | 20.5740i | −0.0787280 | − | 0.0286546i | ||||
\(719\) | 539.953 | + | 311.742i | 0.750978 | + | 0.433578i | 0.826047 | − | 0.563601i | \(-0.190584\pi\) |
−0.0750689 | + | 0.997178i | \(0.523918\pi\) | |||||||
\(720\) | 234.919 | + | 797.568i | 0.326276 | + | 1.10773i | ||||
\(721\) | −81.6768 | − | 141.468i | −0.113283 | − | 0.196211i | ||||
\(722\) | 13.1979 | − | 2.32714i | 0.0182796 | − | 0.00322319i | ||||
\(723\) | 35.5945 | + | 31.8184i | 0.0492317 | + | 0.0440089i | ||||
\(724\) | 4.61527 | − | 1.67982i | 0.00637469 | − | 0.00232020i | ||||
\(725\) | 1335.47 | + | 235.480i | 1.84203 | + | 0.324800i | ||||
\(726\) | −207.085 | + | 29.8635i | −0.285240 | + | 0.0411343i | ||||
\(727\) | −575.569 | + | 482.959i | −0.791704 | + | 0.664318i | −0.946167 | − | 0.323680i | \(-0.895080\pi\) |
0.154463 | + | 0.987999i | \(0.450635\pi\) | |||||||
\(728\) | − | 124.466i | − | 0.170970i | ||||||
\(729\) | −475.997 | + | 552.149i | −0.652945 | + | 0.757406i | ||||
\(730\) | 161.276 | 0.220926 | ||||||||
\(731\) | −155.420 | − | 185.223i | −0.212614 | − | 0.253383i | ||||
\(732\) | 35.1077 | + | 243.450i | 0.0479613 | + | 0.332582i | ||||
\(733\) | 130.291 | − | 738.919i | 0.177751 | − | 1.00807i | −0.757170 | − | 0.653218i | \(-0.773419\pi\) |
0.934921 | − | 0.354857i | \(-0.115470\pi\) | |||||||
\(734\) | −18.0478 | − | 49.5860i | −0.0245883 | − | 0.0675558i | ||||
\(735\) | 723.763 | − | 809.655i | 0.984711 | − | 1.10157i | ||||
\(736\) | −7.73218 | − | 43.8514i | −0.0105057 | − | 0.0595807i | ||||
\(737\) | −18.1815 | + | 10.4971i | −0.0246696 | + | 0.0142430i | ||||
\(738\) | −24.1723 | + | 7.11979i | −0.0327537 | + | 0.00964741i | ||||
\(739\) | 676.597 | − | 1171.90i | 0.915557 | − | 1.58579i | 0.109474 | − | 0.993990i | \(-0.465083\pi\) |
0.806083 | − | 0.591802i | \(-0.201583\pi\) | |||||||
\(740\) | 34.5620 | − | 94.9583i | 0.0467054 | − | 0.128322i | ||||
\(741\) | −1229.75 | − | 38.5176i | −1.65959 | − | 0.0519806i | ||||
\(742\) | 30.4974 | + | 25.5904i | 0.0411017 | + | 0.0344884i | ||||
\(743\) | 545.577 | − | 650.194i | 0.734290 | − | 0.875092i | −0.261646 | − | 0.965164i | \(-0.584265\pi\) |
0.995935 | + | 0.0900717i | \(0.0287096\pi\) | |||||||
\(744\) | −200.703 | + | 107.643i | −0.269761 | + | 0.144681i | ||||
\(745\) | −1001.03 | − | 364.346i | −1.34367 | − | 0.489056i | ||||
\(746\) | −218.194 | − | 125.975i | −0.292486 | − | 0.168867i | ||||
\(747\) | 888.669 | + | 590.162i | 1.18965 | + | 0.790043i | ||||
\(748\) | 27.6897 | + | 47.9599i | 0.0370183 | + | 0.0641175i | ||||
\(749\) | −105.200 | + | 18.5497i | −0.140455 | + | 0.0247659i | ||||
\(750\) | 111.483 | − | 36.6666i | 0.148644 | − | 0.0488888i | ||||
\(751\) | −757.303 | + | 275.636i | −1.00839 | + | 0.367025i | −0.792816 | − | 0.609462i | \(-0.791386\pi\) |
−0.215577 | + | 0.976487i | \(0.569163\pi\) | |||||||
\(752\) | −543.715 | − | 95.8717i | −0.723026 | − | 0.127489i | ||||
\(753\) | −490.319 | − | 622.951i | −0.651155 | − | 0.827292i | ||||
\(754\) | −374.652 | + | 314.370i | −0.496886 | + | 0.416936i | ||||
\(755\) | − | 999.749i | − | 1.32417i | ||||||
\(756\) | 54.9325 | + | 119.883i | 0.0726620 | + | 0.158576i | ||||
\(757\) | −171.631 | −0.226725 | −0.113363 | − | 0.993554i | \(-0.536162\pi\) | ||||
−0.113363 | + | 0.993554i | \(0.536162\pi\) | |||||||
\(758\) | −124.825 | − | 148.761i | −0.164677 | − | 0.196254i | ||||
\(759\) | 5.36576 | + | 2.14550i | 0.00706951 | + | 0.00282674i | ||||
\(760\) | −116.308 | + | 659.613i | −0.153036 | + | 0.867912i | ||||
\(761\) | −462.136 | − | 1269.71i | −0.607275 | − | 1.66847i | −0.736154 | − | 0.676814i | \(-0.763360\pi\) |
0.128880 | − | 0.991660i | \(-0.458862\pi\) | |||||||
\(762\) | 282.763 | + | 59.0413i | 0.371080 | + | 0.0774821i | ||||
\(763\) | −22.4248 | − | 127.178i | −0.0293904 | − | 0.166681i | ||||
\(764\) | 147.255 | − | 85.0178i | 0.192742 | − | 0.111280i | ||||
\(765\) | 108.426 | + | 964.818i | 0.141734 | + | 1.26120i | ||||
\(766\) | 173.100 | − | 299.818i | 0.225979 | − | 0.391407i | ||||
\(767\) | 670.746 | − | 1842.86i | 0.874506 | − | 2.40268i | ||||
\(768\) | 103.865 | − | 167.557i | 0.135241 | − | 0.218173i | ||||
\(769\) | 770.979 | + | 646.928i | 1.00257 | + | 0.841259i | 0.987339 | − | 0.158625i | \(-0.0507060\pi\) |
0.0152349 | + | 0.999884i | \(0.495150\pi\) | |||||||
\(770\) | 4.11159 | − | 4.90001i | 0.00533973 | − | 0.00636365i | ||||
\(771\) | 872.369 | + | 540.765i | 1.13148 | + | 0.701381i | ||||
\(772\) | 490.123 | + | 178.390i | 0.634874 | + | 0.231075i | ||||
\(773\) | 24.6722 | + | 14.2445i | 0.0319175 | + | 0.0184276i | 0.515874 | − | 0.856665i | \(-0.327467\pi\) |
−0.483956 | + | 0.875092i | \(0.660801\pi\) | |||||||
\(774\) | 53.4183 | + | 72.4231i | 0.0690160 | + | 0.0935699i | ||||
\(775\) | −287.497 | − | 497.960i | −0.370964 | − | 0.642528i | ||||
\(776\) | −42.3045 | + | 7.45943i | −0.0545161 | + | 0.00961266i | ||||
\(777\) | 2.94484 | − | 14.1035i | 0.00379001 | − | 0.0181512i | ||||
\(778\) | −169.579 | + | 61.7219i | −0.217968 | + | 0.0793340i | ||||
\(779\) | 92.8532 | + | 16.3725i | 0.119195 | + | 0.0210174i | ||||
\(780\) | 654.265 | − | 1636.28i | 0.838801 | − | 2.09779i | ||||
\(781\) | 71.2827 | − | 59.8133i | 0.0912710 | − | 0.0765855i | ||||
\(782\) | − | 14.6756i | − | 0.0187668i | ||||||
\(783\) | 464.768 | − | 979.594i | 0.593574 | − | 1.25108i | ||||
\(784\) | −569.048 | −0.725827 | ||||||||
\(785\) | 1151.15 | + | 1371.89i | 1.46644 | + | 1.74763i | ||||
\(786\) | −50.3603 | + | 39.6382i | −0.0640716 | + | 0.0504302i | ||||
\(787\) | 34.7237 | − | 196.928i | 0.0441216 | − | 0.250226i | −0.954767 | − | 0.297354i | \(-0.903896\pi\) |
0.998889 | + | 0.0471280i | \(0.0150069\pi\) | |||||||
\(788\) | 67.7357 | + | 186.102i | 0.0859590 | + | 0.236170i | ||||
\(789\) | 356.539 | + | 1084.04i | 0.451887 | + | 1.37394i | ||||
\(790\) | 22.6445 | + | 128.423i | 0.0286639 | + | 0.162561i | ||||
\(791\) | −74.6706 | + | 43.1111i | −0.0944002 | + | 0.0545020i | ||||
\(792\) | −19.1851 | − | 38.6278i | −0.0242236 | − | 0.0487725i | ||||
\(793\) | 234.323 | − | 405.859i | 0.295489 | − | 0.511802i | ||||
\(794\) | −27.4797 | + | 75.4997i | −0.0346091 | + | 0.0950878i | ||||
\(795\) | 557.468 | + | 1039.41i | 0.701217 | + | 1.30744i | ||||
\(796\) | 922.411 | + | 773.995i | 1.15881 | + | 0.972356i | ||||
\(797\) | −675.871 | + | 805.471i | −0.848018 | + | 1.01063i | 0.151735 | + | 0.988421i | \(0.451514\pi\) |
−0.999753 | + | 0.0222076i | \(0.992931\pi\) | |||||||
\(798\) | −1.42873 | + | 45.6150i | −0.00179038 | + | 0.0571617i | ||||
\(799\) | −605.819 | − | 220.500i | −0.758222 | − | 0.275970i | ||||
\(800\) | −726.630 | − | 419.520i | −0.908287 | − | 0.524400i | ||||
\(801\) | −751.513 | + | 789.498i | −0.938219 | + | 0.985640i | ||||
\(802\) | −78.8807 | − | 136.625i | −0.0983550 | − | 0.170356i | ||||
\(803\) | 38.2669 | − | 6.74748i | 0.0476549 | − | 0.00840284i | ||||
\(804\) | 159.950 | + | 142.981i | 0.198942 | + | 0.177837i | ||||
\(805\) | 17.2212 | − | 6.26801i | 0.0213928 | − | 0.00778635i | ||||
\(806\) | 204.223 | + | 36.0100i | 0.253378 | + | 0.0446774i | ||||
\(807\) | 264.059 | − | 38.0797i | 0.327210 | − | 0.0471867i | ||||
\(808\) | −13.1706 | + | 11.0515i | −0.0163003 | + | 0.0136776i | ||||
\(809\) | 482.349i | 0.596229i | 0.954530 | + | 0.298114i | \(0.0963577\pi\) | ||||
−0.954530 | + | 0.298114i | \(0.903642\pi\) | |||||||
\(810\) | −17.8034 | − | 360.918i | −0.0219795 | − | 0.445577i | ||||
\(811\) | −1202.48 | −1.48272 | −0.741358 | − | 0.671110i | \(-0.765818\pi\) | ||||
−0.741358 | + | 0.671110i | \(0.765818\pi\) | |||||||
\(812\) | −126.072 | − | 150.246i | −0.155261 | − | 0.185032i | ||||
\(813\) | −208.585 | − | 1446.41i | −0.256562 | − | 1.77910i | ||||
\(814\) | −0.391050 | + | 2.21775i | −0.000480405 | + | 0.00272451i | ||||
\(815\) | 172.708 | + | 474.512i | 0.211912 | + | 0.582224i | ||||
\(816\) | 339.050 | − | 379.287i | 0.415503 | − | 0.464813i | ||||
\(817\) | −58.4707 | − | 331.604i | −0.0715675 | − | 0.405880i | ||||
\(818\) | −146.148 | + | 84.3786i | −0.178665 | + | 0.103152i | ||||
\(819\) | 59.0289 | − | 244.220i | 0.0720743 | − | 0.298193i | ||||
\(820\) | −67.5224 | + | 116.952i | −0.0823444 | + | 0.142625i | ||||
\(821\) | 443.863 | − | 1219.50i | 0.540637 | − | 1.48539i | −0.305380 | − | 0.952231i | \(-0.598783\pi\) |
0.846016 | − | 0.533157i | \(-0.178994\pi\) | |||||||
\(822\) | −203.504 | − | 6.37403i | −0.247572 | − | 0.00775430i | ||||
\(823\) | 810.125 | + | 679.776i | 0.984356 | + | 0.825973i | 0.984741 | − | 0.174027i | \(-0.0556780\pi\) |
−0.000384609 | 1.00000i | \(0.500122\pi\) | ||||||||
\(824\) | 350.944 | − | 418.239i | 0.425903 | − | 0.507572i | ||||
\(825\) | 95.9599 | − | 51.4662i | 0.116315 | − | 0.0623833i | ||||
\(826\) | −68.3568 | − | 24.8799i | −0.0827565 | − | 0.0301209i | ||||
\(827\) | −767.759 | − | 443.266i | −0.928367 | − | 0.535993i | −0.0420722 | − | 0.999115i | \(-0.513396\pi\) |
−0.886295 | + | 0.463122i | \(0.846729\pi\) | |||||||
\(828\) | 3.69567 | − | 58.9381i | 0.00446337 | − | 0.0711813i | ||||
\(829\) | −406.625 | − | 704.295i | −0.490500 | − | 0.849572i | 0.509440 | − | 0.860506i | \(-0.329853\pi\) |
−0.999940 | + | 0.0109347i | \(0.996519\pi\) | |||||||
\(830\) | −520.757 | + | 91.8235i | −0.627418 | + | 0.110631i | ||||
\(831\) | −249.261 | + | 81.9819i | −0.299953 | + | 0.0986545i | ||||
\(832\) | −663.610 | + | 241.534i | −0.797608 | + | 0.290306i | ||||
\(833\) | −654.391 | − | 115.387i | −0.785584 | − | 0.138520i | ||||
\(834\) | −106.390 | − | 135.168i | −0.127565 | − | 0.162072i | ||||
\(835\) | −984.050 | + | 825.716i | −1.17850 | + | 0.988881i | ||||
\(836\) | 77.1214i | 0.0922505i | ||||||||
\(837\) | −444.858 | + | 116.026i | −0.531491 | + | 0.138621i | ||||
\(838\) | 195.119 | 0.232839 | ||||||||
\(839\) | 960.723 | + | 1144.94i | 1.14508 | + | 1.36465i | 0.920756 | + | 0.390140i | \(0.127573\pi\) |
0.224325 | + | 0.974514i | \(0.427982\pi\) | |||||||
\(840\) | −127.002 | − | 50.7818i | −0.151193 | − | 0.0604545i | ||||
\(841\) | −133.994 | + | 759.917i | −0.159327 | + | 0.903588i | ||||
\(842\) | 120.043 | + | 329.816i | 0.142569 | + | 0.391706i | ||||
\(843\) | 473.841 | + | 98.9388i | 0.562089 | + | 0.117365i | ||||
\(844\) | 60.2525 | + | 341.709i | 0.0713892 | + | 0.404868i | ||||
\(845\) | −1785.77 | + | 1031.02i | −2.11334 | + | 1.22014i | ||||
\(846\) | 219.902 | + | 96.0180i | 0.259932 | + | 0.113496i | ||||
\(847\) | −79.9335 | + | 138.449i | −0.0943725 | + | 0.163458i | ||||
\(848\) | 211.379 | − | 580.758i | 0.249267 | − | 0.684856i | ||||
\(849\) | −216.896 | + | 349.899i | −0.255472 | + | 0.412131i | ||||
\(850\) | −211.837 | − | 177.752i | −0.249220 | − | 0.209120i | ||||
\(851\) | −4.14729 | + | 4.94255i | −0.00487344 | + | 0.00580793i | ||||
\(852\) | −808.225 | − | 501.004i | −0.948621 | − | 0.588032i | ||||
\(853\) | 786.440 | + | 286.241i | 0.921969 | + | 0.335569i | 0.759022 | − | 0.651065i | \(-0.225678\pi\) |
0.162947 | + | 0.986635i | \(0.447900\pi\) | |||||||
\(854\) | −15.0545 | − | 8.69169i | −0.0176282 | − | 0.0101776i | ||||
\(855\) | −541.039 | + | 1239.10i | −0.632794 | + | 1.44924i | ||||
\(856\) | −178.517 | − | 309.200i | −0.208547 | − | 0.361215i | ||||
\(857\) | 781.650 | − | 137.826i | 0.912077 | − | 0.160824i | 0.302131 | − | 0.953266i | \(-0.402302\pi\) |
0.609947 | + | 0.792443i | \(0.291191\pi\) | |||||||
\(858\) | −8.02685 | + | 38.4425i | −0.00935531 | + | 0.0448048i | ||||
\(859\) | 925.160 | − | 336.731i | 1.07702 | − | 0.392003i | 0.258222 | − | 0.966086i | \(-0.416863\pi\) |
0.818798 | + | 0.574082i | \(0.194641\pi\) | |||||||
\(860\) | 474.954 | + | 83.7472i | 0.552272 | + | 0.0973805i | ||||
\(861\) | −7.14851 | + | 17.8780i | −0.00830256 | + | 0.0207642i | ||||
\(862\) | 344.840 | − | 289.355i | 0.400046 | − | 0.335679i | ||||
\(863\) | 217.563i | 0.252101i | 0.992024 | + | 0.126050i | \(0.0402301\pi\) | ||||
−0.992024 | + | 0.126050i | \(0.959770\pi\) | |||||||
\(864\) | −477.520 | + | 471.195i | −0.552686 | + | 0.545365i | ||||
\(865\) | 2037.00 | 2.35491 | ||||||||
\(866\) | −26.8055 | − | 31.9455i | −0.0309532 | − | 0.0368886i | ||||
\(867\) | −214.473 | + | 168.810i | −0.247374 | + | 0.194706i | ||||
\(868\) | −14.4411 | + | 81.8994i | −0.0166372 | + | 0.0943541i | ||||
\(869\) | 10.7460 | + | 29.5243i | 0.0123659 | + | 0.0339750i | ||||
\(870\) | 167.919 | + | 510.548i | 0.193010 | + | 0.586837i | ||||
\(871\) | −70.9814 | − | 402.555i | −0.0814941 | − | 0.462176i | ||||
\(872\) | 373.794 | − | 215.810i | 0.428663 | − | 0.247489i | ||||
\(873\) | −86.5452 | − | 5.42676i | −0.0991354 | − | 0.00621622i | ||||
\(874\) | 10.2187 | − | 17.6992i | 0.0116918 | − | 0.0202508i | ||||
\(875\) | 30.6694 | − | 84.2634i | 0.0350507 | − | 0.0963010i | ||||
\(876\) | −187.679 | − | 349.931i | −0.214245 | − | 0.399465i | ||||
\(877\) | −237.821 | − | 199.556i | −0.271176 | − | 0.227544i | 0.497051 | − | 0.867721i | \(-0.334416\pi\) |
−0.768227 | + | 0.640178i | \(0.778861\pi\) | |||||||
\(878\) | −256.199 | + | 305.326i | −0.291798 | + | 0.347752i | ||||
\(879\) | −36.4677 | + | 1164.31i | −0.0414877 | + | 1.32458i | ||||
\(880\) | −93.3102 | − | 33.9621i | −0.106034 | − | 0.0385933i | ||||
\(881\) | 1349.01 | + | 778.850i | 1.53122 | + | 0.884053i | 0.999306 | + | 0.0372567i | \(0.0118619\pi\) |
0.531918 | + | 0.846796i | \(0.321471\pi\) | |||||||
\(882\) | 240.393 | + | 58.1039i | 0.272554 | + | 0.0658774i | ||||
\(883\) | 412.908 | + | 715.177i | 0.467619 | + | 0.809940i | 0.999315 | − | 0.0369949i | \(-0.0117785\pi\) |
−0.531696 | + | 0.846935i | \(0.678445\pi\) | |||||||
\(884\) | −1061.88 | + | 187.238i | −1.20122 | + | 0.211808i | ||||
\(885\) | −1606.75 | − | 1436.30i | −1.81553 | − | 1.62293i | ||||
\(886\) | 248.990 | − | 90.6250i | 0.281027 | − | 0.102286i | ||||
\(887\) | 402.913 | + | 71.0445i | 0.454243 | + | 0.0800953i | 0.396089 | − | 0.918212i | \(-0.370367\pi\) |
0.0581543 | + | 0.998308i | \(0.481478\pi\) | |||||||
\(888\) | 47.6614 | − | 6.87321i | 0.0536727 | − | 0.00774010i | ||||
\(889\) | 169.077 | − | 141.872i | 0.190188 | − | 0.159587i | ||||
\(890\) | − | 540.295i | − | 0.607073i | ||||||
\(891\) | −19.3244 | − | 84.8920i | −0.0216884 | − | 0.0952772i | ||||
\(892\) | −297.542 | −0.333568 | ||||||||
\(893\) | −577.101 | − | 687.762i | −0.646250 | − | 0.770171i | ||||
\(894\) | −34.6267 | − | 240.115i | −0.0387323 | − | 0.268584i | ||||
\(895\) | 328.250 | − | 1861.60i | 0.366760 | − | 2.08000i | ||||
\(896\) | 54.3031 | + | 149.196i | 0.0606061 | + | 0.166514i | ||||
\(897\) | −74.9867 | + | 83.8857i | −0.0835972 | + | 0.0935181i | ||||
\(898\) | 53.2890 | + | 302.217i | 0.0593419 | + | 0.336545i | ||||
\(899\) | 592.171 | − | 341.890i | 0.658700 | − | 0.380301i | ||||
\(900\) | −805.985 | − | 767.208i | −0.895539 | − | 0.852453i | ||||
\(901\) | 360.842 | − | 624.996i | 0.400490 | − | 0.693669i | ||||
\(902\) | 1.02931 | − | 2.82799i | 0.00114114 | − | 0.00313525i | ||||
\(903\) | 68.7281 | + | 2.15266i | 0.0761108 | + | 0.00238390i | ||||
\(904\) | −220.757 | − | 185.237i | −0.244201 | − | 0.204909i | ||||
\(905\) | −6.61015 | + | 7.87768i | −0.00730404 | + | 0.00870461i | ||||
\(906\) | 200.640 | − | 107.609i | 0.221457 | − | 0.118774i | ||||
\(907\) | −370.613 | − | 134.892i | −0.408614 | − | 0.148723i | 0.129532 | − | 0.991575i | \(-0.458653\pi\) |
−0.538145 | + | 0.842852i | \(0.680875\pi\) | |||||||
\(908\) | −532.041 | − | 307.174i | −0.585948 | − | 0.338297i | ||||
\(909\) | −31.0839 | + | 15.4383i | −0.0341958 | + | 0.0169839i | ||||
\(910\) | 62.2714 | + | 107.857i | 0.0684301 | + | 0.118524i | ||||
\(911\) | −217.128 | + | 38.2855i | −0.238340 | + | 0.0420258i | −0.291542 | − | 0.956558i | \(-0.594168\pi\) |
0.0532022 | + | 0.998584i | \(0.483057\pi\) | |||||||
\(912\) | 673.003 | − | 221.350i | 0.737942 | − | 0.242709i | ||||
\(913\) | −119.721 | + | 43.5749i | −0.131129 | + | 0.0477272i | ||||
\(914\) | 84.2931 | + | 14.8631i | 0.0922244 | + | 0.0162617i | ||||
\(915\) | −318.526 | − | 404.687i | −0.348116 | − | 0.442281i | ||||
\(916\) | 205.935 | − | 172.800i | 0.224820 | − | 0.188647i | ||||
\(917\) | 48.9691i | 0.0534014i | ||||||||
\(918\) | −181.959 | + | 125.610i | −0.198212 | + | 0.136830i | ||||
\(919\) | −873.180 | −0.950142 | −0.475071 | − | 0.879948i | \(-0.657578\pi\) | ||||
−0.475071 | + | 0.879948i | \(0.657578\pi\) | |||||||
\(920\) | 39.3720 | + | 46.9218i | 0.0427957 | + | 0.0510019i | ||||
\(921\) | 1155.03 | + | 461.837i | 1.25410 | + | 0.501452i | ||||
\(922\) | −36.1755 | + | 205.161i | −0.0392359 | + | 0.222518i | ||||
\(923\) | 619.665 | + | 1702.52i | 0.671360 | + | 1.84455i | ||||
\(924\) | −15.4166 | − | 3.21900i | −0.0166846 | − | 0.00348377i | ||||
\(925\) | 21.1115 | + | 119.729i | 0.0228232 | + | 0.129437i | ||||
\(926\) | −206.523 | + | 119.236i | −0.223027 | + | 0.128765i | ||||
\(927\) | 886.957 | − | 654.208i | 0.956803 | − | 0.705726i | ||||
\(928\) | 498.891 | − | 864.105i | 0.537598 | − | 0.931147i | ||||
\(929\) | 13.2277 | − | 36.3427i | 0.0142386 | − | 0.0391202i | −0.932370 | − | 0.361506i | \(-0.882263\pi\) |
0.946608 | + | 0.322386i | \(0.104485\pi\) | |||||||
\(930\) | 120.066 | − | 193.692i | 0.129103 | − | 0.208271i | ||||
\(931\) | −708.871 | − | 594.813i | −0.761408 | − | 0.638897i | ||||
\(932\) | −432.202 | + | 515.078i | −0.463736 | + | 0.552659i | ||||
\(933\) | −1112.83 | − | 689.825i | −1.19275 | − | 0.739362i | ||||
\(934\) | 491.858 | + | 179.022i | 0.526614 | + | 0.191672i | ||||
\(935\) | −100.418 | − | 57.9763i | −0.107399 | − | 0.0620067i | ||||
\(936\) | 834.502 | − | 93.7815i | 0.891562 | − | 0.100194i | ||||
\(937\) | 402.676 | + | 697.456i | 0.429750 | + | 0.744350i | 0.996851 | − | 0.0792991i | \(-0.0252682\pi\) |
−0.567100 | + | 0.823649i | \(0.691935\pi\) | |||||||
\(938\) | −14.9319 | + | 2.63290i | −0.0159189 | + | 0.00280693i | ||||
\(939\) | 252.195 | − | 1207.82i | 0.268578 | − | 1.28628i | ||||
\(940\) | 1208.38 | − | 439.813i | 1.28551 | − | 0.467887i | ||||
\(941\) | 1320.90 | + | 232.910i | 1.40372 | + | 0.247513i | 0.823670 | − | 0.567070i | \(-0.191923\pi\) |
0.580047 | + | 0.814583i | \(0.303034\pi\) | |||||||
\(942\) | −151.419 | + | 378.690i | −0.160742 | + | 0.402006i | ||||
\(943\) | 6.60514 | − | 5.54237i | 0.00700439 | − | 0.00587738i | ||||
\(944\) | 1129.27i | 1.19626i | ||||||||
\(945\) | −225.113 | − | 159.873i | −0.238214 | − | 0.169178i | ||||
\(946\) | −10.7477 | −0.0113612 | ||||||||
\(947\) | 379.824 | + | 452.656i | 0.401081 | + | 0.477990i | 0.928349 | − | 0.371709i | \(-0.121228\pi\) |
−0.527268 | + | 0.849699i | \(0.676784\pi\) | |||||||
\(948\) | 252.297 | − | 198.581i | 0.266136 | − | 0.209473i | ||||
\(949\) | −131.376 | + | 745.072i | −0.138437 | + | 0.785113i | ||||
\(950\) | −131.712 | − | 361.877i | −0.138645 | − | 0.380923i | ||||
\(951\) | −383.344 | − | 1165.54i | −0.403096 | − | 1.22559i | ||||
\(952\) | 14.5327 | + | 82.4193i | 0.0152655 | + | 0.0865749i | ||||
\(953\) | −314.082 | + | 181.335i | −0.329572 | + | 0.190278i | −0.655651 | − | 0.755064i | \(-0.727606\pi\) |
0.326079 | + | 0.945342i | \(0.394272\pi\) | |||||||
\(954\) | −148.596 | + | 223.757i | −0.155761 | + | 0.234546i | ||||
\(955\) | −178.009 | + | 308.321i | −0.186397 | + | 0.322849i | ||||
\(956\) | −11.0821 | + | 30.4477i | −0.0115921 | + | 0.0318491i | ||||
\(957\) | 61.2034 | + | 114.115i | 0.0639534 | + | 0.119243i | ||||
\(958\) | −372.374 | − | 312.459i | −0.388699 | − | 0.326157i | ||||
\(959\) | −99.9989 | + | 119.174i | −0.104274 | + | 0.124269i | ||||
\(960\) | −24.2953 | + | 775.677i | −0.0253076 | + | 0.807997i | ||||
\(961\) | 630.598 | + | 229.519i | 0.656189 | + | 0.238833i | ||||
\(962\) | −37.9724 | − | 21.9234i | −0.0394724 | − | 0.0227894i | ||||
\(963\) | −203.635 | − | 691.357i | −0.211459 | − | 0.717920i | ||||
\(964\) | 29.1339 | + | 50.4614i | 0.0302219 | + | 0.0523458i | ||||
\(965\) | −1075.48 | + | 189.636i | −1.11449 | + | 0.196514i | ||||
\(966\) | 3.11156 | + | 2.78147i | 0.00322107 | + | 0.00287936i | ||||
\(967\) | −27.9723 | + | 10.1811i | −0.0289269 | + | 0.0105285i | −0.356443 | − | 0.934317i | \(-0.616011\pi\) |
0.327516 | + | 0.944846i | \(0.393788\pi\) | |||||||
\(968\) | −526.202 | − | 92.7836i | −0.543597 | − | 0.0958509i | ||||
\(969\) | 818.820 | − | 118.081i | 0.845016 | − | 0.121859i | ||||
\(970\) | 32.9274 | − | 27.6294i | 0.0339458 | − | 0.0284839i | ||||
\(971\) | − | 1095.66i | − | 1.12839i | −0.825643 | − | 0.564193i | \(-0.809188\pi\) | ||
0.825643 | − | 0.564193i | \(-0.190812\pi\) | |||||||
\(972\) | −762.388 | + | 458.633i | −0.784350 | + | 0.471844i | ||||
\(973\) | −131.434 | −0.135081 | ||||||||
\(974\) | 225.061 | + | 268.218i | 0.231069 | + | 0.275377i | ||||
\(975\) | 302.613 | + | 2098.43i | 0.310372 | + | 2.15224i | ||||
\(976\) | −46.8603 | + | 265.758i | −0.0480126 | + | 0.272293i | ||||
\(977\) | −212.328 | − | 583.365i | −0.217326 | − | 0.597099i | 0.782342 | − | 0.622849i | \(-0.214025\pi\) |
−0.999668 | + | 0.0257502i | \(0.991803\pi\) | |||||||
\(978\) | −76.6403 | + | 85.7356i | −0.0783643 | + | 0.0876642i | ||||
\(979\) | −22.6049 | − | 128.199i | −0.0230898 | − | 0.130949i | ||||
\(980\) | 1147.83 | − | 662.698i | 1.17125 | − | 0.676222i | ||||
\(981\) | 835.787 | − | 246.176i | 0.851975 | − | 0.250944i | ||||
\(982\) | −124.752 | + | 216.076i | −0.127038 | + | 0.220037i | ||||
\(983\) | −207.764 | + | 570.827i | −0.211357 | + | 0.580699i | −0.999390 | − | 0.0349345i | \(-0.988878\pi\) |
0.788032 | + | 0.615634i | \(0.211100\pi\) | |||||||
\(984\) | −64.3212 | − | 2.01463i | −0.0653671 | − | 0.00204739i | ||||
\(985\) | −317.653 | − | 266.542i | −0.322490 | − | 0.270601i | ||||
\(986\) | 211.382 | − | 251.916i | 0.214384 | − | 0.255492i | ||||
\(987\) | 161.572 | − | 86.6557i | 0.163700 | − | 0.0877971i | ||||
\(988\) | −1411.03 | − | 513.573i | −1.42817 | − | 0.519811i | ||||
\(989\) | −26.6674 | − | 15.3964i | −0.0269640 | − | 0.0155677i | ||||
\(990\) | 35.9509 | + | 23.8749i | 0.0363140 | + | 0.0241160i | ||||
\(991\) | 269.816 | + | 467.335i | 0.272266 | + | 0.471579i | 0.969442 | − | 0.245322i | \(-0.0788935\pi\) |
−0.697176 | + | 0.716900i | \(0.745560\pi\) | |||||||
\(992\) | −416.645 | + | 73.4658i | −0.420005 | + | 0.0740583i | ||||
\(993\) | −933.716 | + | 307.098i | −0.940298 | + | 0.309263i | ||||
\(994\) | 63.1511 | − | 22.9851i | 0.0635323 | − | 0.0231239i | ||||
\(995\) | −2482.87 | − | 437.798i | −2.49535 | − | 0.439998i | ||||
\(996\) | 805.246 | + | 1023.06i | 0.808480 | + | 1.02717i | ||||
\(997\) | 508.600 | − | 426.766i | 0.510130 | − | 0.428050i | −0.351045 | − | 0.936359i | \(-0.614174\pi\) |
0.861175 | + | 0.508309i | \(0.169729\pi\) | |||||||
\(998\) | 330.950i | 0.331613i | ||||||||
\(999\) | 96.7782 | + | 9.11755i | 0.0968751 | + | 0.00912667i |
(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 | 27.3.f.a.5.3 | ✓ | 30 | |
3.2 | odd | 2 | 81.3.f.a.44.3 | 30 | |||
4.3 | odd | 2 | 432.3.bc.a.113.2 | 30 | |||
9.2 | odd | 6 | 243.3.f.a.53.3 | 30 | |||
9.4 | even | 3 | 243.3.f.c.215.3 | 30 | |||
9.5 | odd | 6 | 243.3.f.b.215.3 | 30 | |||
9.7 | even | 3 | 243.3.f.d.53.3 | 30 | |||
27.2 | odd | 18 | 243.3.f.d.188.3 | 30 | |||
27.4 | even | 9 | 729.3.b.a.728.13 | 30 | |||
27.7 | even | 9 | 243.3.f.b.26.3 | 30 | |||
27.11 | odd | 18 | inner | 27.3.f.a.11.3 | yes | 30 | |
27.16 | even | 9 | 81.3.f.a.35.3 | 30 | |||
27.20 | odd | 18 | 243.3.f.c.26.3 | 30 | |||
27.23 | odd | 18 | 729.3.b.a.728.18 | 30 | |||
27.25 | even | 9 | 243.3.f.a.188.3 | 30 | |||
108.11 | even | 18 | 432.3.bc.a.65.2 | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.3.f.a.5.3 | ✓ | 30 | 1.1 | even | 1 | trivial | |
27.3.f.a.11.3 | yes | 30 | 27.11 | odd | 18 | inner | |
81.3.f.a.35.3 | 30 | 27.16 | even | 9 | |||
81.3.f.a.44.3 | 30 | 3.2 | odd | 2 | |||
243.3.f.a.53.3 | 30 | 9.2 | odd | 6 | |||
243.3.f.a.188.3 | 30 | 27.25 | even | 9 | |||
243.3.f.b.26.3 | 30 | 27.7 | even | 9 | |||
243.3.f.b.215.3 | 30 | 9.5 | odd | 6 | |||
243.3.f.c.26.3 | 30 | 27.20 | odd | 18 | |||
243.3.f.c.215.3 | 30 | 9.4 | even | 3 | |||
243.3.f.d.53.3 | 30 | 9.7 | even | 3 | |||
243.3.f.d.188.3 | 30 | 27.2 | odd | 18 | |||
432.3.bc.a.65.2 | 30 | 108.11 | even | 18 | |||
432.3.bc.a.113.2 | 30 | 4.3 | odd | 2 | |||
729.3.b.a.728.13 | 30 | 27.4 | even | 9 | |||
729.3.b.a.728.18 | 30 | 27.23 | odd | 18 |