Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [450,2,Mod(23,450)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(450, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([50, 33]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("450.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 450 = 2 \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 450.w (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.59326809096\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 23.14 | ||
Character | \(\chi\) | \(=\) | 450.23 |
Dual form | 450.2.w.a.137.14 |
$q$-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 \(\left(\mathbb{Z}/450\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{11}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.358368 | − | 0.933580i | −0.253404 | − | 0.660141i | ||||
\(3\) | 1.56679 | + | 0.738354i | 0.904587 | + | 0.426289i | ||||
\(4\) | −0.743145 | + | 0.669131i | −0.371572 | + | 0.334565i | ||||
\(5\) | 1.74716 | − | 1.39550i | 0.781355 | − | 0.624087i | ||||
\(6\) | 0.127826 | − | 1.72733i | 0.0521847 | − | 0.705179i | ||||
\(7\) | −0.469048 | − | 0.125681i | −0.177284 | − | 0.0475030i | 0.169085 | − | 0.985601i | \(-0.445919\pi\) |
−0.346369 | + | 0.938098i | \(0.612585\pi\) | |||||||
\(8\) | 0.891007 | + | 0.453990i | 0.315018 | + | 0.160510i | ||||
\(9\) | 1.90967 | + | 2.31369i | 0.636555 | + | 0.771231i | ||||
\(10\) | −1.92894 | − | 1.13101i | −0.609984 | − | 0.357658i | ||||
\(11\) | 1.23109 | − | 2.76508i | 0.371189 | − | 0.833703i | −0.627302 | − | 0.778776i | \(-0.715841\pi\) |
0.998490 | − | 0.0549270i | \(-0.0174926\pi\) | |||||||
\(12\) | −1.65841 | + | 0.499683i | −0.478741 | + | 0.144246i | ||||
\(13\) | 0.754169 | + | 0.289498i | 0.209169 | + | 0.0802924i | 0.460697 | − | 0.887558i | \(-0.347600\pi\) |
−0.251528 | + | 0.967850i | \(0.580933\pi\) | |||||||
\(14\) | 0.0507584 | + | 0.482934i | 0.0135658 | + | 0.129070i | ||||
\(15\) | 3.76781 | − | 0.896434i | 0.972845 | − | 0.231458i | ||||
\(16\) | 0.104528 | − | 0.994522i | 0.0261321 | − | 0.248630i | ||||
\(17\) | 0.0248660 | − | 0.0488022i | 0.00603088 | − | 0.0118363i | −0.887971 | − | 0.459899i | \(-0.847886\pi\) |
0.894002 | + | 0.448062i | \(0.147886\pi\) | |||||||
\(18\) | 1.47566 | − | 2.61198i | 0.347816 | − | 0.615650i | ||||
\(19\) | −1.73522 | + | 0.563806i | −0.398086 | + | 0.129346i | −0.501217 | − | 0.865322i | \(-0.667114\pi\) |
0.103131 | + | 0.994668i | \(0.467114\pi\) | |||||||
\(20\) | −0.364621 | + | 2.20614i | −0.0815318 | + | 0.493308i | ||||
\(21\) | −0.642103 | − | 0.543240i | −0.140118 | − | 0.118545i | ||||
\(22\) | −3.02261 | − | 0.158408i | −0.644423 | − | 0.0337728i | ||||
\(23\) | 2.49745 | + | 2.02239i | 0.520753 | + | 0.421698i | 0.853324 | − | 0.521380i | \(-0.174583\pi\) |
−0.332571 | + | 0.943078i | \(0.607916\pi\) | |||||||
\(24\) | 1.06081 | + | 1.36919i | 0.216538 | + | 0.279484i | ||||
\(25\) | 1.10515 | − | 4.87634i | 0.221030 | − | 0.975267i | ||||
\(26\) | − | 0.807824i | − | 0.158427i | ||||||
\(27\) | 1.28372 | + | 5.03508i | 0.247052 | + | 0.969002i | ||||
\(28\) | 0.432668 | − | 0.220455i | 0.0817665 | − | 0.0416621i | ||||
\(29\) | 2.11678 | − | 0.449935i | 0.393076 | − | 0.0835509i | −0.00713356 | − | 0.999975i | \(-0.502271\pi\) |
0.400209 | + | 0.916424i | \(0.368937\pi\) | |||||||
\(30\) | −2.18716 | − | 3.19630i | −0.399318 | − | 0.583562i | ||||
\(31\) | −3.61449 | − | 0.768283i | −0.649181 | − | 0.137988i | −0.128460 | − | 0.991715i | \(-0.541004\pi\) |
−0.520721 | + | 0.853727i | \(0.674337\pi\) | |||||||
\(32\) | −0.965926 | + | 0.258819i | −0.170753 | + | 0.0457532i | ||||
\(33\) | 3.97048 | − | 3.42332i | 0.691171 | − | 0.595923i | ||||
\(34\) | −0.0544720 | − | 0.00572523i | −0.00934186 | − | 0.000981870i | ||||
\(35\) | −0.994891 | + | 0.434972i | −0.168167 | + | 0.0735237i | ||||
\(36\) | −2.96732 | − | 0.441594i | −0.494554 | − | 0.0735990i | ||||
\(37\) | −0.0503530 | + | 0.00797513i | −0.00827798 | + | 0.00131110i | −0.160572 | − | 0.987024i | \(-0.551334\pi\) |
0.152294 | + | 0.988335i | \(0.451334\pi\) | |||||||
\(38\) | 1.14821 | + | 1.41792i | 0.186263 | + | 0.230016i | ||||
\(39\) | 0.967872 | + | 1.01043i | 0.154984 | + | 0.161798i | ||||
\(40\) | 2.19028 | − | 0.450206i | 0.346313 | − | 0.0711839i | ||||
\(41\) | 3.49062 | + | 7.84007i | 0.545144 | + | 1.22441i | 0.950634 | + | 0.310314i | \(0.100434\pi\) |
−0.405490 | + | 0.914099i | \(0.632899\pi\) | |||||||
\(42\) | −0.277049 | + | 0.794135i | −0.0427496 | + | 0.122538i | ||||
\(43\) | 1.22798 | − | 4.58287i | 0.187265 | − | 0.698881i | −0.806870 | − | 0.590730i | \(-0.798840\pi\) |
0.994134 | − | 0.108152i | \(-0.0344933\pi\) | |||||||
\(44\) | 0.935320 | + | 2.87862i | 0.141005 | + | 0.433968i | ||||
\(45\) | 6.56526 | + | 1.37746i | 0.978691 | + | 0.205339i | ||||
\(46\) | 0.993061 | − | 3.05633i | 0.146419 | − | 0.450631i | ||||
\(47\) | −2.23689 | − | 1.45266i | −0.326285 | − | 0.211892i | 0.371093 | − | 0.928596i | \(-0.378983\pi\) |
−0.697377 | + | 0.716704i | \(0.745650\pi\) | |||||||
\(48\) | 0.898084 | − | 1.48103i | 0.129627 | − | 0.213768i | ||||
\(49\) | −5.85797 | − | 3.38210i | −0.836852 | − | 0.483157i | ||||
\(50\) | −4.94850 | + | 0.715776i | −0.699824 | + | 0.101226i | ||||
\(51\) | 0.0749931 | − | 0.0581030i | 0.0105011 | − | 0.00813604i | ||||
\(52\) | −0.754169 | + | 0.289498i | −0.104584 | + | 0.0401462i | ||||
\(53\) | 2.76573 | + | 5.42805i | 0.379902 | + | 0.745600i | 0.999218 | − | 0.0395418i | \(-0.0125898\pi\) |
−0.619316 | + | 0.785142i | \(0.712590\pi\) | |||||||
\(54\) | 4.24061 | − | 3.00287i | 0.577074 | − | 0.408639i | ||||
\(55\) | −1.70776 | − | 6.54904i | −0.230274 | − | 0.883072i | ||||
\(56\) | −0.360867 | − | 0.324926i | −0.0482229 | − | 0.0434201i | ||||
\(57\) | −3.13501 | − | 0.397839i | −0.415242 | − | 0.0526951i | ||||
\(58\) | −1.17864 | − | 1.81494i | −0.154763 | − | 0.238313i | ||||
\(59\) | 2.73215 | − | 1.21643i | 0.355696 | − | 0.158366i | −0.221107 | − | 0.975250i | \(-0.570967\pi\) |
0.576802 | + | 0.816884i | \(0.304300\pi\) | |||||||
\(60\) | −2.20020 | + | 3.18734i | −0.284044 | + | 0.411484i | ||||
\(61\) | −4.80099 | − | 2.13754i | −0.614704 | − | 0.273684i | 0.0756742 | − | 0.997133i | \(-0.475889\pi\) |
−0.690378 | + | 0.723449i | \(0.742556\pi\) | |||||||
\(62\) | 0.578063 | + | 3.64974i | 0.0734140 | + | 0.463518i | ||||
\(63\) | −0.604937 | − | 1.32524i | −0.0762150 | − | 0.166965i | ||||
\(64\) | 0.587785 | + | 0.809017i | 0.0734732 | + | 0.101127i | ||||
\(65\) | 1.72165 | − | 0.546644i | 0.213544 | − | 0.0678028i | ||||
\(66\) | −4.61884 | − | 2.47995i | −0.568539 | − | 0.305261i | ||||
\(67\) | −13.6587 | + | 8.87006i | −1.66868 | + | 1.08365i | −0.779046 | + | 0.626967i | \(0.784296\pi\) |
−0.889629 | + | 0.456683i | \(0.849037\pi\) | |||||||
\(68\) | 0.0141760 | + | 0.0529057i | 0.00171910 | + | 0.00641576i | ||||
\(69\) | 2.41973 | + | 5.01266i | 0.291302 | + | 0.603454i | ||||
\(70\) | 0.762619 | + | 0.772931i | 0.0911504 | + | 0.0923829i | ||||
\(71\) | −15.6202 | − | 5.07532i | −1.85378 | − | 0.602330i | −0.996109 | − | 0.0881343i | \(-0.971910\pi\) |
−0.857673 | − | 0.514196i | \(-0.828090\pi\) | |||||||
\(72\) | 0.651129 | + | 2.92849i | 0.0767363 | + | 0.345125i | ||||
\(73\) | 6.79278 | + | 1.07587i | 0.795034 | + | 0.125921i | 0.540722 | − | 0.841201i | \(-0.318151\pi\) |
0.254312 | + | 0.967122i | \(0.418151\pi\) | |||||||
\(74\) | 0.0254903 | + | 0.0441505i | 0.00296319 | + | 0.00513240i | ||||
\(75\) | 5.33200 | − | 6.82420i | 0.615687 | − | 0.787991i | ||||
\(76\) | 0.912258 | − | 1.58008i | 0.104643 | − | 0.181247i | ||||
\(77\) | −0.924960 | + | 1.14223i | −0.105409 | + | 0.130169i | ||||
\(78\) | 0.596461 | − | 1.26569i | 0.0675359 | − | 0.143311i | ||||
\(79\) | −3.38388 | − | 15.9199i | −0.380716 | − | 1.79113i | −0.583724 | − | 0.811952i | \(-0.698405\pi\) |
0.203008 | − | 0.979177i | \(-0.434928\pi\) | |||||||
\(80\) | −1.20523 | − | 1.88346i | −0.134749 | − | 0.210577i | ||||
\(81\) | −1.70636 | + | 8.83676i | −0.189595 | + | 0.981862i | ||||
\(82\) | 6.06841 | − | 6.06841i | 0.670144 | − | 0.670144i | ||||
\(83\) | 0.242423 | + | 4.62570i | 0.0266093 | + | 0.507737i | 0.979127 | + | 0.203252i | \(0.0651510\pi\) |
−0.952517 | + | 0.304485i | \(0.901516\pi\) | |||||||
\(84\) | 0.840674 | − | 0.0259450i | 0.0917250 | − | 0.00283083i | ||||
\(85\) | −0.0246587 | − | 0.119966i | −0.00267461 | − | 0.0130121i | ||||
\(86\) | −4.71855 | + | 0.495939i | −0.508814 | + | 0.0534785i | ||||
\(87\) | 3.64876 | + | 0.857979i | 0.391188 | + | 0.0919850i | ||||
\(88\) | 2.35223 | − | 1.90480i | 0.250749 | − | 0.203052i | ||||
\(89\) | −5.00866 | + | 3.63900i | −0.530917 | + | 0.385733i | −0.820701 | − | 0.571359i | \(-0.806417\pi\) |
0.289784 | + | 0.957092i | \(0.406417\pi\) | |||||||
\(90\) | −1.06681 | − | 6.62283i | −0.112452 | − | 0.698108i | ||||
\(91\) | −0.317357 | − | 0.230573i | −0.0332681 | − | 0.0241707i | ||||
\(92\) | −3.20921 | + | 0.168187i | −0.334583 | + | 0.0175348i | ||||
\(93\) | −5.09588 | − | 3.87251i | −0.528418 | − | 0.401561i | ||||
\(94\) | −0.554540 | + | 2.60891i | −0.0571965 | + | 0.269088i | ||||
\(95\) | −2.24491 | + | 3.40656i | −0.230323 | + | 0.349506i | ||||
\(96\) | −1.70450 | − | 0.307680i | −0.173965 | − | 0.0314025i | ||||
\(97\) | −7.58964 | + | 11.6870i | −0.770611 | + | 1.18664i | 0.207435 | + | 0.978249i | \(0.433488\pi\) |
−0.978046 | + | 0.208388i | \(0.933178\pi\) | |||||||
\(98\) | −1.05815 | + | 6.68092i | −0.106890 | + | 0.674875i | ||||
\(99\) | 8.74853 | − | 2.43201i | 0.879260 | − | 0.244426i | ||||
\(100\) | 2.44162 | + | 4.36331i | 0.244162 | + | 0.436331i | ||||
\(101\) | 8.96463 | − | 5.17573i | 0.892014 | − | 0.515004i | 0.0174130 | − | 0.999848i | \(-0.494457\pi\) |
0.874601 | + | 0.484844i | \(0.161124\pi\) | |||||||
\(102\) | −0.0811189 | − | 0.0491899i | −0.00803197 | − | 0.00487052i | ||||
\(103\) | −0.970469 | + | 18.5176i | −0.0956231 | + | 1.82460i | 0.358356 | + | 0.933585i | \(0.383338\pi\) |
−0.453979 | + | 0.891013i | \(0.649996\pi\) | |||||||
\(104\) | 0.540540 | + | 0.600330i | 0.0530043 | + | 0.0588672i | ||||
\(105\) | −1.87995 | − | 0.0530718i | −0.183464 | − | 0.00517928i | ||||
\(106\) | 4.07637 | − | 4.52727i | 0.395932 | − | 0.439728i | ||||
\(107\) | 3.81425 | + | 3.81425i | 0.368738 | + | 0.368738i | 0.867017 | − | 0.498279i | \(-0.166035\pi\) |
−0.498279 | + | 0.867017i | \(0.666035\pi\) | |||||||
\(108\) | −4.32312 | − | 2.88282i | −0.415992 | − | 0.277400i | ||||
\(109\) | −3.63804 | + | 5.00733i | −0.348461 | + | 0.479615i | −0.946889 | − | 0.321561i | \(-0.895792\pi\) |
0.598428 | + | 0.801177i | \(0.295792\pi\) | |||||||
\(110\) | −5.50205 | + | 3.94129i | −0.524600 | + | 0.375787i | ||||
\(111\) | −0.0847811 | − | 0.0246830i | −0.00804706 | − | 0.00234281i | ||||
\(112\) | −0.174021 | + | 0.453341i | −0.0164435 | + | 0.0428367i | ||||
\(113\) | −5.28074 | + | 13.7568i | −0.496770 | + | 1.29413i | 0.424577 | + | 0.905392i | \(0.360423\pi\) |
−0.921348 | + | 0.388740i | \(0.872911\pi\) | |||||||
\(114\) | 0.752073 | + | 3.06936i | 0.0704381 | + | 0.287472i | ||||
\(115\) | 7.18569 | + | 0.0482557i | 0.670069 | + | 0.00449986i | ||||
\(116\) | −1.27201 | + | 1.75077i | −0.118103 | + | 0.162555i | ||||
\(117\) | 0.770400 | + | 2.29776i | 0.0712235 | + | 0.212428i | ||||
\(118\) | −2.11475 | − | 2.11475i | −0.194679 | − | 0.194679i | ||||
\(119\) | −0.0177969 | + | 0.0197654i | −0.00163143 | + | 0.00181189i | ||||
\(120\) | 3.76412 | + | 0.911822i | 0.343615 | + | 0.0832376i | ||||
\(121\) | 1.23036 | + | 1.36645i | 0.111850 | + | 0.124223i | ||||
\(122\) | −0.275043 | + | 5.24814i | −0.0249012 | + | 0.475144i | ||||
\(123\) | −0.319674 | + | 14.8611i | −0.0288240 | + | 1.33998i | ||||
\(124\) | 3.20017 | − | 1.84762i | 0.287384 | − | 0.165921i | ||||
\(125\) | −4.87406 | − | 10.0620i | −0.435949 | − | 0.899971i | ||||
\(126\) | −1.02043 | + | 1.03968i | −0.0909072 | + | 0.0926223i | ||||
\(127\) | −1.53648 | + | 9.70097i | −0.136341 | + | 0.860822i | 0.820803 | + | 0.571211i | \(0.193526\pi\) |
−0.957144 | + | 0.289611i | \(0.906474\pi\) | |||||||
\(128\) | 0.544639 | − | 0.838671i | 0.0481397 | − | 0.0741287i | ||||
\(129\) | 5.30777 | − | 6.27372i | 0.467323 | − | 0.552370i | ||||
\(130\) | −1.12732 | − | 1.41140i | −0.0988725 | − | 0.123788i | ||||
\(131\) | −2.38584 | + | 11.2245i | −0.208452 | + | 0.980690i | 0.742139 | + | 0.670246i | \(0.233811\pi\) |
−0.950591 | + | 0.310445i | \(0.899522\pi\) | |||||||
\(132\) | −0.659990 | + | 5.20079i | −0.0574448 | + | 0.452671i | ||||
\(133\) | 0.884760 | − | 0.0463683i | 0.0767185 | − | 0.00402064i | ||||
\(134\) | 13.1758 | + | 9.57274i | 1.13821 | + | 0.826959i | ||||
\(135\) | 9.26933 | + | 7.00567i | 0.797777 | + | 0.602952i | ||||
\(136\) | 0.0443115 | − | 0.0321942i | 0.00379968 | − | 0.00276063i | ||||
\(137\) | 7.65442 | − | 6.19842i | 0.653961 | − | 0.529567i | −0.243926 | − | 0.969794i | \(-0.578435\pi\) |
0.897887 | + | 0.440227i | \(0.145102\pi\) | |||||||
\(138\) | 3.81257 | − | 4.05539i | 0.324548 | − | 0.345218i | ||||
\(139\) | −8.79140 | + | 0.924014i | −0.745677 | + | 0.0783738i | −0.469744 | − | 0.882803i | \(-0.655654\pi\) |
−0.275933 | + | 0.961177i | \(0.588987\pi\) | |||||||
\(140\) | 0.448295 | − | 0.988960i | 0.0378878 | − | 0.0835823i | ||||
\(141\) | −2.43217 | − | 3.92763i | −0.204826 | − | 0.330766i | ||||
\(142\) | 0.859571 | + | 16.4016i | 0.0721336 | + | 1.37639i | ||||
\(143\) | 1.72894 | − | 1.72894i | 0.144581 | − | 0.144581i | ||||
\(144\) | 2.50063 | − | 1.65736i | 0.208386 | − | 0.138113i | ||||
\(145\) | 3.07047 | − | 3.74008i | 0.254989 | − | 0.310597i | ||||
\(146\) | −1.42990 | − | 6.72716i | −0.118340 | − | 0.556744i | ||||
\(147\) | −6.68102 | − | 9.62430i | −0.551041 | − | 0.793799i | ||||
\(148\) | 0.0320832 | − | 0.0396194i | 0.00263722 | − | 0.00325670i | ||||
\(149\) | 6.94662 | − | 12.0319i | 0.569089 | − | 0.985691i | −0.427567 | − | 0.903984i | \(-0.640629\pi\) |
0.996656 | − | 0.0817077i | \(-0.0260374\pi\) | |||||||
\(150\) | −8.28176 | − | 2.53228i | −0.676203 | − | 0.206760i | ||||
\(151\) | −6.66328 | − | 11.5411i | −0.542250 | − | 0.939205i | −0.998774 | − | 0.0494940i | \(-0.984239\pi\) |
0.456524 | − | 0.889711i | \(-0.349094\pi\) | |||||||
\(152\) | −1.80205 | − | 0.285417i | −0.146166 | − | 0.0231504i | ||||
\(153\) | 0.160399 | − | 0.0356637i | 0.0129675 | − | 0.00288324i | ||||
\(154\) | 1.39784 | + | 0.454186i | 0.112641 | + | 0.0365993i | ||||
\(155\) | −7.38724 | + | 3.70171i | −0.593357 | + | 0.297329i | ||||
\(156\) | −1.39538 | − | 0.103261i | −0.111720 | − | 0.00826748i | ||||
\(157\) | −1.29372 | − | 4.82823i | −0.103250 | − | 0.385335i | 0.894891 | − | 0.446286i | \(-0.147253\pi\) |
−0.998141 | + | 0.0609506i | \(0.980587\pi\) | |||||||
\(158\) | −13.6498 | + | 8.86431i | −1.08592 | + | 0.705206i | ||||
\(159\) | 0.325494 | + | 10.5467i | 0.0258134 | + | 0.836409i | ||||
\(160\) | −1.32645 | + | 1.80015i | −0.104865 | + | 0.142314i | ||||
\(161\) | −0.917246 | − | 1.26248i | −0.0722891 | − | 0.0994974i | ||||
\(162\) | 8.86133 | − | 1.57379i | 0.696212 | − | 0.123649i | ||||
\(163\) | 1.57213 | + | 9.92602i | 0.123138 | + | 0.777466i | 0.969542 | + | 0.244924i | \(0.0787630\pi\) |
−0.846404 | + | 0.532542i | \(0.821237\pi\) | |||||||
\(164\) | −7.84007 | − | 3.49062i | −0.612207 | − | 0.272572i | ||||
\(165\) | 2.15981 | − | 11.5219i | 0.168141 | − | 0.896979i | ||||
\(166\) | 4.23159 | − | 1.88402i | 0.328435 | − | 0.146229i | ||||
\(167\) | −10.5153 | − | 16.1921i | −0.813696 | − | 1.25298i | −0.964412 | − | 0.264404i | \(-0.914825\pi\) |
0.150716 | − | 0.988577i | \(-0.451842\pi\) | |||||||
\(168\) | −0.325492 | − | 0.775539i | −0.0251123 | − | 0.0598341i | ||||
\(169\) | −9.17592 | − | 8.26204i | −0.705840 | − | 0.635541i | ||||
\(170\) | −0.103161 | + | 0.0660128i | −0.00791208 | + | 0.00506295i | ||||
\(171\) | −4.61816 | − | 2.93808i | −0.353160 | − | 0.224681i | ||||
\(172\) | 2.15398 | + | 4.22741i | 0.164239 | + | 0.322337i | ||||
\(173\) | −0.668509 | + | 0.256617i | −0.0508258 | + | 0.0195102i | −0.383648 | − | 0.923479i | \(-0.625332\pi\) |
0.332822 | + | 0.942990i | \(0.391999\pi\) | |||||||
\(174\) | −0.506607 | − | 3.71388i | −0.0384057 | − | 0.281549i | ||||
\(175\) | −1.13123 | + | 2.14834i | −0.0855131 | + | 0.162399i | ||||
\(176\) | −2.62125 | − | 1.51338i | −0.197584 | − | 0.114075i | ||||
\(177\) | 5.17886 | + | 0.111402i | 0.389267 | + | 0.00837347i | ||||
\(178\) | 5.19224 | + | 3.37188i | 0.389175 | + | 0.252733i | ||||
\(179\) | 4.41585 | − | 13.5906i | 0.330056 | − | 1.01581i | −0.639051 | − | 0.769165i | \(-0.720673\pi\) |
0.969106 | − | 0.246643i | \(-0.0793274\pi\) | |||||||
\(180\) | −5.80064 | + | 3.36937i | −0.432354 | + | 0.251138i | ||||
\(181\) | 1.22141 | + | 3.75913i | 0.0907870 | + | 0.279414i | 0.986133 | − | 0.165958i | \(-0.0530716\pi\) |
−0.895346 | + | 0.445372i | \(0.853072\pi\) | |||||||
\(182\) | −0.101528 | + | 0.378908i | −0.00752577 | + | 0.0280866i | ||||
\(183\) | −5.94389 | − | 6.89391i | −0.439385 | − | 0.509612i | ||||
\(184\) | 1.30709 | + | 2.93578i | 0.0963602 | + | 0.216429i | ||||
\(185\) | −0.0768455 | + | 0.0842016i | −0.00564980 | + | 0.00619062i | ||||
\(186\) | −1.78910 | + | 6.14520i | −0.131183 | + | 0.450588i | ||||
\(187\) | −0.104330 | − | 0.128837i | −0.00762935 | − | 0.00942146i | ||||
\(188\) | 2.63435 | − | 0.417241i | 0.192130 | − | 0.0304304i | ||||
\(189\) | 0.0306884 | − | 2.52304i | 0.00223226 | − | 0.183524i | ||||
\(190\) | 3.98480 | + | 0.875005i | 0.289088 | + | 0.0634795i | ||||
\(191\) | −6.78034 | − | 0.712643i | −0.490608 | − | 0.0515650i | −0.144005 | − | 0.989577i | \(-0.545998\pi\) |
−0.346603 | + | 0.938012i | \(0.612665\pi\) | |||||||
\(192\) | 0.323595 | + | 1.70155i | 0.0233535 | + | 0.122799i | ||||
\(193\) | 2.00642 | − | 0.537619i | 0.144425 | − | 0.0386987i | −0.185882 | − | 0.982572i | \(-0.559514\pi\) |
0.330307 | + | 0.943873i | \(0.392848\pi\) | |||||||
\(194\) | 13.6307 | + | 2.89729i | 0.978624 | + | 0.208013i | ||||
\(195\) | 3.10108 | + | 0.414712i | 0.222073 | + | 0.0296982i | ||||
\(196\) | 6.61638 | − | 1.40636i | 0.472599 | − | 0.100454i | ||||
\(197\) | 22.5573 | − | 11.4935i | 1.60714 | − | 0.818878i | 0.607439 | − | 0.794366i | \(-0.292197\pi\) |
0.999700 | − | 0.0245115i | \(-0.00780304\pi\) | |||||||
\(198\) | −5.40566 | − | 7.29590i | −0.384164 | − | 0.518497i | ||||
\(199\) | − | 0.696232i | − | 0.0493546i | −0.999695 | − | 0.0246773i | \(-0.992144\pi\) | ||
0.999695 | − | 0.0246773i | \(-0.00785582\pi\) | |||||||
\(200\) | 3.19851 | − | 3.84312i | 0.226168 | − | 0.271750i | ||||
\(201\) | −27.9496 | + | 3.81257i | −1.97141 | + | 0.268918i | ||||
\(202\) | −8.04459 | − | 6.51438i | −0.566016 | − | 0.458350i | ||||
\(203\) | −1.04942 | − | 0.0549977i | −0.0736548 | − | 0.00386008i | ||||
\(204\) | −0.0168523 | + | 0.0933591i | −0.00117990 | + | 0.00653644i | ||||
\(205\) | 17.0395 | + | 8.82670i | 1.19009 | + | 0.616483i | ||||
\(206\) | 17.6355 | − | 5.73012i | 1.22872 | − | 0.399236i | ||||
\(207\) | 0.0900906 | + | 9.64042i | 0.00626173 | + | 0.670055i | ||||
\(208\) | 0.366745 | − | 0.719777i | 0.0254292 | − | 0.0499075i | ||||
\(209\) | −0.577245 | + | 5.49212i | −0.0399288 | + | 0.379898i | ||||
\(210\) | 0.624167 | + | 1.77410i | 0.0430716 | + | 0.122425i | ||||
\(211\) | 0.720547 | + | 6.85555i | 0.0496045 | + | 0.471955i | 0.990923 | + | 0.134434i | \(0.0429217\pi\) |
−0.941318 | + | 0.337521i | \(0.890412\pi\) | |||||||
\(212\) | −5.68741 | − | 2.18319i | −0.390613 | − | 0.149942i | ||||
\(213\) | −20.7263 | − | 19.4852i | −1.42014 | − | 1.33511i | ||||
\(214\) | 2.19401 | − | 4.92782i | 0.149979 | − | 0.336859i | ||||
\(215\) | −4.24993 | − | 9.72066i | −0.289843 | − | 0.662944i | ||||
\(216\) | −1.14208 | + | 5.06909i | −0.0777085 | + | 0.344908i | ||||
\(217\) | 1.59881 | + | 0.814635i | 0.108534 | + | 0.0553010i | ||||
\(218\) | 5.97850 | + | 1.60194i | 0.404915 | + | 0.108497i | ||||
\(219\) | 9.84848 | + | 6.70114i | 0.665499 | + | 0.452821i | ||||
\(220\) | 5.65127 | + | 3.72417i | 0.381009 | + | 0.251084i | ||||
\(221\) | 0.0328813 | − | 0.0296065i | 0.00221184 | − | 0.00199155i | ||||
\(222\) | 0.00733925 | + | 0.0879956i | 0.000492578 | + | 0.00590588i | ||||
\(223\) | 0.898584 | + | 2.34089i | 0.0601737 | + | 0.156758i | 0.960371 | − | 0.278724i | \(-0.0899114\pi\) |
−0.900198 | + | 0.435482i | \(0.856578\pi\) | |||||||
\(224\) | 0.485594 | 0.0324451 | ||||||||
\(225\) | 13.3928 | − | 6.75519i | 0.892854 | − | 0.450346i | ||||
\(226\) | 14.7355 | 0.980193 | ||||||||
\(227\) | −8.31951 | − | 21.6731i | −0.552185 | − | 1.43849i | −0.871288 | − | 0.490772i | \(-0.836715\pi\) |
0.319103 | − | 0.947720i | \(-0.396619\pi\) | |||||||
\(228\) | 2.59597 | − | 1.80208i | 0.171923 | − | 0.119346i | ||||
\(229\) | 17.7504 | − | 15.9826i | 1.17298 | − | 1.05616i | 0.175555 | − | 0.984470i | \(-0.443828\pi\) |
0.997427 | − | 0.0716879i | \(-0.0228385\pi\) | |||||||
\(230\) | −2.53007 | − | 6.72572i | −0.166828 | − | 0.443481i | ||||
\(231\) | −2.29259 | + | 1.10669i | −0.150841 | + | 0.0728147i | ||||
\(232\) | 2.09033 | + | 0.560102i | 0.137237 | + | 0.0367725i | ||||
\(233\) | 11.3486 | + | 5.78238i | 0.743468 | + | 0.378816i | 0.784326 | − | 0.620349i | \(-0.213009\pi\) |
−0.0408575 | + | 0.999165i | \(0.513009\pi\) | |||||||
\(234\) | 1.86906 | − | 1.54267i | 0.122184 | − | 0.100848i | ||||
\(235\) | −5.93540 | + | 0.583565i | −0.387183 | + | 0.0380676i | ||||
\(236\) | −1.21643 | + | 2.73215i | −0.0791829 | + | 0.177848i | ||||
\(237\) | 6.45270 | − | 27.4417i | 0.419148 | − | 1.78253i | ||||
\(238\) | 0.0248304 | + | 0.00953151i | 0.00160952 | + | 0.000617836i | ||||
\(239\) | −1.18336 | − | 11.2589i | −0.0765451 | − | 0.728278i | −0.963733 | − | 0.266869i | \(-0.914011\pi\) |
0.887188 | − | 0.461409i | \(-0.152656\pi\) | |||||||
\(240\) | −0.497680 | − | 3.84087i | −0.0321251 | − | 0.247927i | ||||
\(241\) | 2.55544 | − | 24.3134i | 0.164610 | − | 1.56616i | −0.530767 | − | 0.847518i | \(-0.678096\pi\) |
0.695377 | − | 0.718645i | \(-0.255237\pi\) | |||||||
\(242\) | 0.834769 | − | 1.63833i | 0.0536610 | − | 0.105316i | ||||
\(243\) | −9.19817 | + | 12.5855i | −0.590063 | + | 0.807357i | ||||
\(244\) | 4.99812 | − | 1.62399i | 0.319972 | − | 0.103965i | ||||
\(245\) | −14.9545 | + | 2.26573i | −0.955411 | + | 0.144752i | ||||
\(246\) | 13.9886 | − | 5.02729i | 0.891878 | − | 0.320528i | ||||
\(247\) | −1.47187 | − | 0.0771373i | −0.0936527 | − | 0.00490813i | ||||
\(248\) | −2.87174 | − | 2.32549i | −0.182356 | − | 0.147669i | ||||
\(249\) | −3.03558 | + | 7.42650i | −0.192372 | + | 0.470635i | ||||
\(250\) | −7.64697 | + | 8.15622i | −0.483637 | + | 0.515845i | ||||
\(251\) | 3.94946i | 0.249288i | 0.992202 | + | 0.124644i | \(0.0397788\pi\) | ||||
−0.992202 | + | 0.124644i | \(0.960221\pi\) | |||||||
\(252\) | 1.33632 | + | 0.580065i | 0.0841800 | + | 0.0365407i | ||||
\(253\) | 8.66666 | − | 4.41589i | 0.544869 | − | 0.277624i | ||||
\(254\) | 9.60726 | − | 2.04209i | 0.602813 | − | 0.128132i | ||||
\(255\) | 0.0499423 | − | 0.206168i | 0.00312751 | − | 0.0129108i | ||||
\(256\) | −0.978148 | − | 0.207912i | −0.0611342 | − | 0.0129945i | ||||
\(257\) | 14.4536 | − | 3.87284i | 0.901593 | − | 0.241581i | 0.221893 | − | 0.975071i | \(-0.428777\pi\) |
0.679700 | + | 0.733490i | \(0.262110\pi\) | |||||||
\(258\) | −7.75915 | − | 2.70693i | −0.483064 | − | 0.168526i | ||||
\(259\) | 0.0246203 | + | 0.00258770i | 0.00152983 | + | 0.000160792i | ||||
\(260\) | −0.913660 | + | 1.55824i | −0.0566628 | + | 0.0966382i | ||||
\(261\) | 5.08335 | + | 4.03835i | 0.314652 | + | 0.249968i | ||||
\(262\) | 11.3340 | − | 1.79513i | 0.700217 | − | 0.110903i | ||||
\(263\) | 6.14452 | + | 7.58785i | 0.378887 | + | 0.467887i | 0.930542 | − | 0.366186i | \(-0.119337\pi\) |
−0.551654 | + | 0.834073i | \(0.686003\pi\) | |||||||
\(264\) | 5.09187 | − | 1.24764i | 0.313383 | − | 0.0767870i | ||||
\(265\) | 12.4070 | + | 5.62410i | 0.762158 | + | 0.345486i | ||||
\(266\) | −0.360358 | − | 0.809378i | −0.0220950 | − | 0.0496262i | ||||
\(267\) | −10.5344 | + | 2.00339i | −0.644694 | + | 0.122605i | ||||
\(268\) | 4.21516 | − | 15.7312i | 0.257482 | − | 0.960935i | ||||
\(269\) | 2.28607 | + | 7.03581i | 0.139384 | + | 0.428981i | 0.996246 | − | 0.0865653i | \(-0.0275891\pi\) |
−0.856862 | + | 0.515546i | \(0.827589\pi\) | |||||||
\(270\) | 3.21853 | − | 11.1643i | 0.195873 | − | 0.679436i | ||||
\(271\) | 2.04584 | − | 6.29645i | 0.124276 | − | 0.382482i | −0.869492 | − | 0.493946i | \(-0.835554\pi\) |
0.993768 | + | 0.111464i | \(0.0355540\pi\) | |||||||
\(272\) | −0.0459357 | − | 0.0298310i | −0.00278526 | − | 0.00180877i | ||||
\(273\) | −0.326987 | − | 0.595582i | −0.0197902 | − | 0.0360463i | ||||
\(274\) | −8.52982 | − | 4.92470i | −0.515305 | − | 0.297512i | ||||
\(275\) | −12.1229 | − | 9.05905i | −0.731040 | − | 0.546281i | ||||
\(276\) | −5.15234 | − | 2.10602i | −0.310134 | − | 0.126767i | ||||
\(277\) | 3.89530 | − | 1.49526i | 0.234046 | − | 0.0898418i | −0.238519 | − | 0.971138i | \(-0.576662\pi\) |
0.472564 | + | 0.881296i | \(0.343328\pi\) | |||||||
\(278\) | 4.01320 | + | 7.87634i | 0.240696 | + | 0.472392i | ||||
\(279\) | −5.12489 | − | 9.82998i | −0.306819 | − | 0.588506i | ||||
\(280\) | −1.08393 | − | 0.0641080i | −0.0647771 | − | 0.00383118i | ||||
\(281\) | 13.1936 | + | 11.8796i | 0.787065 | + | 0.708676i | 0.961142 | − | 0.276056i | \(-0.0890275\pi\) |
−0.174077 | + | 0.984732i | \(0.555694\pi\) | |||||||
\(282\) | −2.79515 | + | 3.67816i | −0.166449 | + | 0.219031i | ||||
\(283\) | 7.29425 | + | 11.2322i | 0.433598 | + | 0.667683i | 0.986161 | − | 0.165788i | \(-0.0530168\pi\) |
−0.552563 | + | 0.833471i | \(0.686350\pi\) | |||||||
\(284\) | 15.0042 | − | 6.68028i | 0.890333 | − | 0.396402i | ||||
\(285\) | −6.03256 | + | 3.67982i | −0.357338 | + | 0.217974i | ||||
\(286\) | −2.23370 | − | 0.994507i | −0.132081 | − | 0.0588064i | ||||
\(287\) | −0.651922 | − | 4.11608i | −0.0384818 | − | 0.242964i | ||||
\(288\) | −2.44342 | − | 1.74060i | −0.143980 | − | 0.102566i | ||||
\(289\) | 9.99059 | + | 13.7509i | 0.587682 | + | 0.808874i | ||||
\(290\) | −4.59202 | − | 1.52621i | −0.269653 | − | 0.0896219i | ||||
\(291\) | −20.5205 | + | 12.7073i | −1.20294 | + | 0.744913i | ||||
\(292\) | −5.76791 | + | 3.74573i | −0.337542 | + | 0.219202i | ||||
\(293\) | −5.82689 | − | 21.7462i | −0.340410 | − | 1.27043i | −0.897883 | − | 0.440234i | \(-0.854896\pi\) |
0.557473 | − | 0.830195i | \(-0.311771\pi\) | |||||||
\(294\) | −6.59079 | + | 9.68631i | −0.384383 | + | 0.564917i | ||||
\(295\) | 3.07598 | − | 5.93802i | 0.179090 | − | 0.345725i | ||||
\(296\) | −0.0484855 | − | 0.0157539i | −0.00281816 | − | 0.000915676i | ||||
\(297\) | 15.5028 | + | 2.64907i | 0.899563 | + | 0.153715i | ||||
\(298\) | −13.7222 | − | 2.17338i | −0.794905 | − | 0.125901i | ||||
\(299\) | 1.29802 | + | 2.24823i | 0.0750663 | + | 0.130019i | ||||
\(300\) | 0.603834 | + | 8.63918i | 0.0348624 | + | 0.498783i | ||||
\(301\) | −1.15196 | + | 1.99525i | −0.0663979 | + | 0.115005i | ||||
\(302\) | −8.38668 | + | 10.3567i | −0.482599 | + | 0.595960i | ||||
\(303\) | 17.8672 | − | 1.49021i | 1.02644 | − | 0.0856104i | ||||
\(304\) | 0.379338 | + | 1.78465i | 0.0217565 | + | 0.102356i | ||||
\(305\) | −11.3710 | + | 2.96516i | −0.651104 | + | 0.169785i | ||||
\(306\) | −0.0907768 | − | 0.136965i | −0.00518936 | − | 0.00782975i | ||||
\(307\) | −10.4379 | + | 10.4379i | −0.595722 | + | 0.595722i | −0.939171 | − | 0.343449i | \(-0.888405\pi\) |
0.343449 | + | 0.939171i | \(0.388405\pi\) | |||||||
\(308\) | −0.0769222 | − | 1.46776i | −0.00438305 | − | 0.0836335i | ||||
\(309\) | −15.1931 | + | 28.2967i | −0.864306 | + | 1.60974i | ||||
\(310\) | 6.10319 | + | 5.57001i | 0.346638 | + | 0.316355i | ||||
\(311\) | 29.7961 | − | 3.13170i | 1.68958 | − | 0.177582i | 0.789634 | − | 0.613579i | \(-0.210271\pi\) |
0.899948 | + | 0.435996i | \(0.143604\pi\) | |||||||
\(312\) | 0.403656 | + | 1.33970i | 0.0228525 | + | 0.0758457i | ||||
\(313\) | −5.38300 | + | 4.35907i | −0.304265 | + | 0.246389i | −0.769277 | − | 0.638915i | \(-0.779383\pi\) |
0.465012 | + | 0.885304i | \(0.346050\pi\) | |||||||
\(314\) | −4.04392 | + | 2.93808i | −0.228211 | + | 0.165805i | ||||
\(315\) | −2.90630 | − | 1.47122i | −0.163752 | − | 0.0828940i | ||||
\(316\) | 13.1672 | + | 9.56654i | 0.740713 | + | 0.538160i | ||||
\(317\) | −9.26828 | + | 0.485730i | −0.520559 | + | 0.0272813i | −0.310806 | − | 0.950473i | \(-0.600599\pi\) |
−0.209752 | + | 0.977755i | \(0.567266\pi\) | |||||||
\(318\) | 9.72956 | − | 4.08348i | 0.545606 | − | 0.228990i | ||||
\(319\) | 1.36184 | − | 6.40698i | 0.0762487 | − | 0.358722i | ||||
\(320\) | 2.15594 | + | 0.593228i | 0.120521 | + | 0.0331625i | ||||
\(321\) | 3.15986 | + | 8.79240i | 0.176366 | + | 0.490744i | ||||
\(322\) | −0.849916 | + | 1.30876i | −0.0473640 | + | 0.0729341i | ||||
\(323\) | −0.0156329 | + | 0.0987021i | −0.000869836 | + | 0.00549193i | ||||
\(324\) | −4.64488 | − | 7.70877i | −0.258049 | − | 0.428265i | ||||
\(325\) | 2.24516 | − | 3.35764i | 0.124539 | − | 0.186248i | ||||
\(326\) | 8.70333 | − | 5.02487i | 0.482033 | − | 0.278302i | ||||
\(327\) | −9.39723 | + | 5.15928i | −0.519668 | + | 0.285309i | ||||
\(328\) | −0.449149 | + | 8.57026i | −0.0248001 | + | 0.473214i | ||||
\(329\) | 0.866640 | + | 0.962501i | 0.0477794 | + | 0.0530644i | ||||
\(330\) | −11.5306 | + | 2.11272i | −0.634740 | + | 0.116301i | ||||
\(331\) | −7.25351 | + | 8.05584i | −0.398689 | + | 0.442789i | −0.908745 | − | 0.417352i | \(-0.862958\pi\) |
0.510056 | + | 0.860141i | \(0.329625\pi\) | |||||||
\(332\) | −3.27535 | − | 3.27535i | −0.179758 | − | 0.179758i | ||||
\(333\) | −0.114609 | − | 0.101272i | −0.00628056 | − | 0.00554965i | ||||
\(334\) | −11.3483 | + | 15.6196i | −0.620950 | + | 0.854665i | ||||
\(335\) | −11.4858 | + | 34.5582i | −0.627534 | + | 1.88811i | ||||
\(336\) | −0.607382 | + | 0.581802i | −0.0331354 | + | 0.0317399i | ||||
\(337\) | 9.48909 | − | 24.7199i | 0.516904 | − | 1.34658i | −0.388273 | − | 0.921544i | \(-0.626928\pi\) |
0.905177 | − | 0.425036i | \(-0.139738\pi\) | |||||||
\(338\) | −4.42492 | + | 11.5273i | −0.240684 | + | 0.627003i | ||||
\(339\) | −18.4312 | + | 17.6550i | −1.00105 | + | 0.958886i | ||||
\(340\) | 0.0985978 | + | 0.0726521i | 0.00534722 | + | 0.00394012i | ||||
\(341\) | −6.57414 | + | 9.04853i | −0.356010 | + | 0.490005i | ||||
\(342\) | −1.08793 | + | 5.36434i | −0.0588287 | + | 0.290070i | ||||
\(343\) | 4.72617 | + | 4.72617i | 0.255189 | + | 0.255189i | ||||
\(344\) | 3.17472 | − | 3.52588i | 0.171169 | − | 0.190103i | ||||
\(345\) | 11.2228 | + | 5.38120i | 0.604218 | + | 0.289714i | ||||
\(346\) | 0.479144 | + | 0.532144i | 0.0257590 | + | 0.0286082i | ||||
\(347\) | 1.58639 | − | 30.2700i | 0.0851617 | − | 1.62498i | −0.538040 | − | 0.842920i | \(-0.680835\pi\) |
0.623201 | − | 0.782062i | \(-0.285832\pi\) | |||||||
\(348\) | −3.28566 | + | 1.80389i | −0.176130 | + | 0.0966989i | ||||
\(349\) | −19.8208 | + | 11.4436i | −1.06099 | + | 0.612560i | −0.925705 | − | 0.378247i | \(-0.876527\pi\) |
−0.135281 | + | 0.990807i | \(0.543194\pi\) | |||||||
\(350\) | 2.41104 | + | 0.286199i | 0.128876 | + | 0.0152980i | ||||
\(351\) | −0.489507 | + | 4.16894i | −0.0261279 | + | 0.222521i | ||||
\(352\) | −0.473489 | + | 2.98949i | −0.0252371 | + | 0.159341i | ||||
\(353\) | 5.32534 | − | 8.20031i | 0.283439 | − | 0.436459i | −0.668061 | − | 0.744107i | \(-0.732875\pi\) |
0.951500 | + | 0.307648i | \(0.0995420\pi\) | |||||||
\(354\) | −1.75194 | − | 4.87481i | −0.0931144 | − | 0.259093i | ||||
\(355\) | −34.3737 | + | 12.9307i | −1.82437 | + | 0.686288i | ||||
\(356\) | 1.28719 | − | 6.05575i | 0.0682209 | − | 0.320954i | ||||
\(357\) | −0.0424778 | + | 0.0178279i | −0.00224816 | + | 0.000943551i | ||||
\(358\) | −14.2704 | + | 0.747880i | −0.754214 | + | 0.0395267i | ||||
\(359\) | −10.5785 | − | 7.68570i | −0.558310 | − | 0.405636i | 0.272530 | − | 0.962147i | \(-0.412140\pi\) |
−0.830840 | + | 0.556511i | \(0.812140\pi\) | |||||||
\(360\) | 5.22434 | + | 4.20789i | 0.275347 | + | 0.221775i | ||||
\(361\) | −12.6782 | + | 9.21127i | −0.667275 | + | 0.484803i | ||||
\(362\) | 3.07173 | − | 2.48744i | 0.161447 | − | 0.130737i | ||||
\(363\) | 0.918786 | + | 3.04938i | 0.0482238 | + | 0.160051i | ||||
\(364\) | 0.390126 | − | 0.0410039i | 0.0204482 | − | 0.00214919i | ||||
\(365\) | 13.3695 | − | 7.59961i | 0.699789 | − | 0.397782i | ||||
\(366\) | −4.30592 | + | 8.01965i | −0.225074 | + | 0.419194i | ||||
\(367\) | 0.360553 | + | 6.87976i | 0.0188207 | + | 0.359121i | 0.991764 | + | 0.128077i | \(0.0408806\pi\) |
−0.972943 | + | 0.231043i | \(0.925786\pi\) | |||||||
\(368\) | 2.27237 | − | 2.27237i | 0.118455 | − | 0.118455i | ||||
\(369\) | −11.4736 | + | 23.0481i | −0.597292 | + | 1.19984i | ||||
\(370\) | 0.106148 | + | 0.0415664i | 0.00551837 | + | 0.00216093i | ||||
\(371\) | −0.615058 | − | 2.89362i | −0.0319322 | − | 0.150229i | ||||
\(372\) | 6.37820 | − | 0.531972i | 0.330694 | − | 0.0275815i | ||||
\(373\) | 14.6764 | − | 18.1239i | 0.759916 | − | 0.938417i | −0.239557 | − | 0.970882i | \(-0.577002\pi\) |
0.999473 | + | 0.0324647i | \(0.0103357\pi\) | |||||||
\(374\) | −0.0828908 | + | 0.143571i | −0.00428618 | + | 0.00742388i | ||||
\(375\) | −0.207319 | − | 19.3638i | −0.0107059 | − | 0.999943i | ||||
\(376\) | −1.33360 | − | 2.30986i | −0.0687749 | − | 0.119122i | ||||
\(377\) | 1.72666 | + | 0.273477i | 0.0889277 | + | 0.0140848i | ||||
\(378\) | −2.36645 | + | 0.875525i | −0.121717 | + | 0.0450321i | ||||
\(379\) | 10.8136 | + | 3.51356i | 0.555458 | + | 0.180479i | 0.573277 | − | 0.819362i | \(-0.305672\pi\) |
−0.0178182 | + | 0.999841i | \(0.505672\pi\) | |||||||
\(380\) | −0.611138 | − | 4.03371i | −0.0313507 | − | 0.206925i | ||||
\(381\) | −9.57010 | + | 14.0649i | −0.490291 | + | 0.720568i | ||||
\(382\) | 1.76455 | + | 6.58538i | 0.0902821 | + | 0.336938i | ||||
\(383\) | −0.903655 | + | 0.586840i | −0.0461746 | + | 0.0299861i | −0.567520 | − | 0.823360i | \(-0.692097\pi\) |
0.521345 | + | 0.853346i | \(0.325430\pi\) | |||||||
\(384\) | 1.47257 | − | 0.911884i | 0.0751468 | − | 0.0465344i | ||||
\(385\) | −0.0220702 | + | 3.28645i | −0.00112480 | + | 0.167493i | ||||
\(386\) | −1.22095 | − | 1.68049i | −0.0621446 | − | 0.0855348i | ||||
\(387\) | 12.9484 | − | 5.91059i | 0.658203 | − | 0.300452i | ||||
\(388\) | −2.17994 | − | 13.7636i | −0.110670 | − | 0.698741i | ||||
\(389\) | −6.19272 | − | 2.75718i | −0.313983 | − | 0.139794i | 0.243694 | − | 0.969852i | \(-0.421641\pi\) |
−0.557677 | + | 0.830058i | \(0.688307\pi\) | |||||||
\(390\) | −0.724161 | − | 3.04373i | −0.0366693 | − | 0.154125i | ||||
\(391\) | 0.160799 | − | 0.0715922i | 0.00813194 | − | 0.00362057i | ||||
\(392\) | −3.68405 | − | 5.67293i | −0.186072 | − | 0.286526i | ||||
\(393\) | −12.0258 | + | 15.8249i | −0.606621 | + | 0.798259i | ||||
\(394\) | −18.8139 | − | 16.9401i | −0.947831 | − | 0.853431i | ||||
\(395\) | −28.1284 | − | 23.0924i | −1.41530 | − | 1.16191i | ||||
\(396\) | −4.87409 | + | 7.66124i | −0.244932 | + | 0.384992i | ||||
\(397\) | 12.7865 | + | 25.0950i | 0.641737 | + | 1.25948i | 0.951202 | + | 0.308569i | \(0.0998500\pi\) |
−0.309465 | + | 0.950911i | \(0.600150\pi\) | |||||||
\(398\) | −0.649988 | + | 0.249507i | −0.0325810 | + | 0.0125067i | ||||
\(399\) | 1.42047 | + | 0.580617i | 0.0711125 | + | 0.0290672i | ||||
\(400\) | −4.73410 | − | 1.60881i | −0.236705 | − | 0.0804406i | ||||
\(401\) | 33.3668 | + | 19.2643i | 1.66626 | + | 0.962015i | 0.969628 | + | 0.244584i | \(0.0786515\pi\) |
0.696630 | + | 0.717430i | \(0.254682\pi\) | |||||||
\(402\) | 13.5756 | + | 24.7269i | 0.677088 | + | 1.23326i | ||||
\(403\) | −2.50352 | − | 1.62580i | −0.124709 | − | 0.0809871i | ||||
\(404\) | −3.19878 | + | 9.84482i | −0.159145 | + | 0.489798i | ||||
\(405\) | 9.35043 | + | 17.8205i | 0.464627 | + | 0.885507i | ||||
\(406\) | 0.324733 | + | 0.999427i | 0.0161163 | + | 0.0496007i | ||||
\(407\) | −0.0399374 | + | 0.149048i | −0.00197962 | + | 0.00738805i | ||||
\(408\) | 0.0931975 | − | 0.0177240i | 0.00461397 | − | 0.000877466i | ||||
\(409\) | −7.58211 | − | 17.0297i | −0.374911 | − | 0.842064i | −0.998194 | − | 0.0600680i | \(-0.980868\pi\) |
0.623283 | − | 0.781996i | \(-0.285798\pi\) | |||||||
\(410\) | 2.13402 | − | 19.0710i | 0.105392 | − | 0.941848i | ||||
\(411\) | 16.5695 | − | 4.05996i | 0.817313 | − | 0.200263i | ||||
\(412\) | −11.6695 | − | 14.4107i | −0.574916 | − | 0.709962i | ||||
\(413\) | −1.43439 | + | 0.227185i | −0.0705818 | + | 0.0111791i | ||||
\(414\) | 8.96782 | − | 3.53892i | 0.440744 | − | 0.173929i | ||||
\(415\) | 6.87872 | + | 7.74355i | 0.337663 | + | 0.380116i | ||||
\(416\) | −0.803399 | − | 0.0844406i | −0.0393899 | − | 0.00414004i | ||||
\(417\) | −14.4565 | − | 5.04344i | −0.707940 | − | 0.246978i | ||||
\(418\) | 5.33420 | − | 1.42929i | 0.260904 | − | 0.0699091i | ||||
\(419\) | 7.26032 | + | 1.54323i | 0.354690 | + | 0.0753917i | 0.381811 | − | 0.924240i | \(-0.375301\pi\) |
−0.0271209 | + | 0.999632i | \(0.508634\pi\) | |||||||
\(420\) | 1.43259 | − | 1.21849i | 0.0699031 | − | 0.0594563i | ||||
\(421\) | 10.6820 | − | 2.27053i | 0.520610 | − | 0.110659i | 0.0598905 | − | 0.998205i | \(-0.480925\pi\) |
0.460719 | + | 0.887546i | \(0.347592\pi\) | |||||||
\(422\) | 6.14198 | − | 3.12950i | 0.298987 | − | 0.152342i | ||||
\(423\) | −0.910718 | − | 7.94958i | −0.0442806 | − | 0.386522i | ||||
\(424\) | 6.09205i | 0.295856i | ||||||||
\(425\) | −0.210495 | − | 0.175189i | −0.0102105 | − | 0.00849789i | ||||
\(426\) | −10.7634 | + | 26.3325i | −0.521489 | + | 1.27581i | ||||
\(427\) | 1.98325 | + | 1.60600i | 0.0959761 | + | 0.0777199i | ||||
\(428\) | −5.38677 | − | 0.282309i | −0.260380 | − | 0.0136459i | ||||
\(429\) | 3.98545 | − | 1.43232i | 0.192420 | − | 0.0691528i | ||||
\(430\) | −7.55198 | + | 7.45123i | −0.364189 | + | 0.359330i | ||||
\(431\) | 23.5815 | − | 7.66209i | 1.13588 | − | 0.369070i | 0.320073 | − | 0.947393i | \(-0.396293\pi\) |
0.815808 | + | 0.578323i | \(0.196293\pi\) | |||||||
\(432\) | 5.14169 | − | 0.750378i | 0.247379 | − | 0.0361026i | ||||
\(433\) | 12.3717 | − | 24.2808i | 0.594544 | − | 1.16686i | −0.376154 | − | 0.926557i | \(-0.622754\pi\) |
0.970698 | − | 0.240302i | \(-0.0772465\pi\) | |||||||
\(434\) | 0.187565 | − | 1.78456i | 0.00900339 | − | 0.0856615i | ||||
\(435\) | 7.57229 | − | 3.59282i | 0.363063 | − | 0.172263i | ||||
\(436\) | −0.646969 | − | 6.15550i | −0.0309842 | − | 0.294795i | ||||
\(437\) | −5.47385 | − | 2.10121i | −0.261850 | − | 0.100515i | ||||
\(438\) | 2.72667 | − | 11.5958i | 0.130285 | − | 0.554070i | ||||
\(439\) | −8.69073 | + | 19.5197i | −0.414786 | + | 0.931624i | 0.578472 | + | 0.815702i | \(0.303649\pi\) |
−0.993258 | + | 0.115922i | \(0.963018\pi\) | |||||||
\(440\) | 1.45158 | − | 6.61054i | 0.0692013 | − | 0.315145i | ||||
\(441\) | −3.36162 | − | 20.0122i | −0.160077 | − | 0.952963i | ||||
\(442\) | −0.0394236 | − | 0.0200873i | −0.00187519 | − | 0.000955457i | ||||
\(443\) | 18.8225 | + | 5.04348i | 0.894286 | + | 0.239623i | 0.676561 | − | 0.736387i | \(-0.263470\pi\) |
0.217725 | + | 0.976010i | \(0.430136\pi\) | |||||||
\(444\) | 0.0795208 | − | 0.0383866i | 0.00377389 | − | 0.00182175i | ||||
\(445\) | −3.67270 | + | 13.3475i | −0.174103 | + | 0.632733i | ||||
\(446\) | 1.86339 | − | 1.67780i | 0.0882339 | − | 0.0794462i | ||||
\(447\) | 19.7677 | − | 13.7224i | 0.934980 | − | 0.649047i | ||||
\(448\) | −0.174021 | − | 0.453341i | −0.00822174 | − | 0.0214184i | ||||
\(449\) | −33.7785 | −1.59411 | −0.797053 | − | 0.603909i | \(-0.793609\pi\) | ||||
−0.797053 | + | 0.603909i | \(0.793609\pi\) | |||||||
\(450\) | −11.1061 | − | 10.0824i | −0.523545 | − | 0.475290i | ||||
\(451\) | 25.9757 | 1.22315 | ||||||||
\(452\) | −5.28074 | − | 13.7568i | −0.248385 | − | 0.647066i | ||||
\(453\) | −1.91851 | − | 23.0024i | −0.0901396 | − | 1.08075i | ||||
\(454\) | −17.2521 | + | 15.5339i | −0.809681 | + | 0.729040i | ||||
\(455\) | −0.876240 | + | 0.0400233i | −0.0410788 | + | 0.00187632i | ||||
\(456\) | −2.61270 | − | 1.77774i | −0.122351 | − | 0.0832504i | ||||
\(457\) | 18.6182 | + | 4.98873i | 0.870923 | + | 0.233363i | 0.666487 | − | 0.745517i | \(-0.267797\pi\) |
0.204436 | + | 0.978880i | \(0.434464\pi\) | |||||||
\(458\) | −21.2822 | − | 10.8438i | −0.994452 | − | 0.506698i | ||||
\(459\) | 0.277644 | + | 0.0625539i | 0.0129593 | + | 0.00291977i | ||||
\(460\) | −5.37230 | + | 4.77231i | −0.250485 | + | 0.222510i | ||||
\(461\) | −9.87221 | + | 22.1733i | −0.459795 | + | 1.03272i | 0.523721 | + | 0.851890i | \(0.324544\pi\) |
−0.983515 | + | 0.180826i | \(0.942123\pi\) | |||||||
\(462\) | 1.85477 | + | 1.74372i | 0.0862919 | + | 0.0811250i | ||||
\(463\) | 23.0479 | + | 8.84725i | 1.07112 | + | 0.411166i | 0.829098 | − | 0.559103i | \(-0.188854\pi\) |
0.242027 | + | 0.970270i | \(0.422188\pi\) | |||||||
\(464\) | −0.226207 | − | 2.15221i | −0.0105014 | − | 0.0999140i | ||||
\(465\) | −14.3074 | + | 0.345405i | −0.663491 | + | 0.0160178i | ||||
\(466\) | 1.33136 | − | 12.6670i | 0.0616739 | − | 0.586788i | ||||
\(467\) | −4.78341 | + | 9.38796i | −0.221350 | + | 0.434423i | −0.974800 | − | 0.223082i | \(-0.928388\pi\) |
0.753450 | + | 0.657505i | \(0.228388\pi\) | |||||||
\(468\) | −2.11002 | − | 1.19207i | −0.0975357 | − | 0.0551035i | ||||
\(469\) | 7.52138 | − | 2.44385i | 0.347305 | − | 0.112846i | ||||
\(470\) | 2.67186 | + | 5.33204i | 0.123244 | + | 0.245949i | ||||
\(471\) | 1.53796 | − | 8.52006i | 0.0708654 | − | 0.392584i | ||||
\(472\) | 2.98661 | + | 0.156522i | 0.137470 | + | 0.00720449i | ||||
\(473\) | −11.1603 | − | 9.03740i | −0.513149 | − | 0.415540i | ||||
\(474\) | −27.9314 | + | 3.81009i | −1.28293 | + | 0.175003i | ||||
\(475\) | 0.831634 | + | 9.08459i | 0.0381580 | + | 0.416830i | ||||
\(476\) | − | 0.0265970i | − | 0.00121907i | ||||||
\(477\) | −7.27723 | + | 16.7648i | −0.333202 | + | 0.767608i | ||||
\(478\) | −10.0870 | + | 5.13959i | −0.461369 | + | 0.235079i | ||||
\(479\) | 34.6936 | − | 7.37435i | 1.58519 | − | 0.336943i | 0.670757 | − | 0.741677i | \(-0.265969\pi\) |
0.914434 | + | 0.404734i | \(0.132636\pi\) | |||||||
\(480\) | −3.40741 | + | 1.84107i | −0.155526 | + | 0.0840330i | ||||
\(481\) | −0.0402835 | − | 0.00856251i | −0.00183677 | − | 0.000390417i | ||||
\(482\) | −23.6143 | + | 6.32743i | −1.07560 | + | 0.288207i | ||||
\(483\) | −0.504974 | − | 2.65530i | −0.0229771 | − | 0.120820i | ||||
\(484\) | −1.82866 | − | 0.192200i | −0.0831211 | − | 0.00873638i | ||||
\(485\) | 3.04893 | + | 31.0105i | 0.138445 | + | 1.40811i | ||||
\(486\) | 15.0459 | + | 4.07700i | 0.682494 | + | 0.184937i | ||||
\(487\) | −40.8589 | + | 6.47142i | −1.85149 | + | 0.293248i | −0.980274 | − | 0.197645i | \(-0.936671\pi\) |
−0.871220 | + | 0.490893i | \(0.836671\pi\) | |||||||
\(488\) | −3.30729 | − | 4.08417i | −0.149714 | − | 0.184881i | ||||
\(489\) | −4.86573 | + | 16.7128i | −0.220036 | + | 0.755778i | ||||
\(490\) | 7.47447 | + | 13.1493i | 0.337662 | + | 0.594025i | ||||
\(491\) | 10.9436 | + | 24.5798i | 0.493879 | + | 1.10927i | 0.972849 | + | 0.231439i | \(0.0743433\pi\) |
−0.478971 | + | 0.877831i | \(0.658990\pi\) | |||||||
\(492\) | −9.70643 | − | 11.2578i | −0.437600 | − | 0.507542i | ||||
\(493\) | 0.0306779 | − | 0.114492i | 0.00138166 | − | 0.00515644i | ||||
\(494\) | 0.455456 | + | 1.40175i | 0.0204920 | + | 0.0630678i | ||||
\(495\) | 11.8912 | − | 16.4577i | 0.534471 | − | 0.739718i | ||||
\(496\) | −1.14189 | + | 3.51438i | −0.0512724 | + | 0.157800i | ||||
\(497\) | 6.68877 | + | 4.34374i | 0.300032 | + | 0.194843i | ||||
\(498\) | 8.02109 | + | 0.172540i | 0.359434 | + | 0.00773172i | ||||
\(499\) | −34.7764 | − | 20.0782i | −1.55681 | − | 0.898823i | −0.997559 | − | 0.0698231i | \(-0.977757\pi\) |
−0.559248 | − | 0.829000i | \(-0.688910\pi\) | |||||||
\(500\) | 10.3549 | + | 4.21613i | 0.463086 | + | 0.188551i | ||||
\(501\) | −4.51972 | − | 33.1336i | −0.201926 | − | 1.48030i | ||||
\(502\) | 3.68714 | − | 1.41536i | 0.164565 | − | 0.0631706i | ||||
\(503\) | −18.3586 | − | 36.0307i | −0.818568 | − | 1.60653i | −0.794845 | − | 0.606812i | \(-0.792448\pi\) |
−0.0237233 | − | 0.999719i | \(-0.507552\pi\) | |||||||
\(504\) | 0.0626443 | − | 1.45544i | 0.00279040 | − | 0.0648303i | ||||
\(505\) | 8.43991 | − | 21.5530i | 0.375571 | − | 0.959095i | ||||
\(506\) | −7.22844 | − | 6.50852i | −0.321343 | − | 0.289339i | ||||
\(507\) | −8.27643 | − | 19.7200i | −0.367569 | − | 0.875794i | ||||
\(508\) | −5.34939 | − | 8.23734i | −0.237341 | − | 0.365473i | ||||
\(509\) | −0.649197 | + | 0.289041i | −0.0287751 | + | 0.0128115i | −0.421074 | − | 0.907026i | \(-0.638347\pi\) |
0.392299 | + | 0.919838i | \(0.371680\pi\) | |||||||
\(510\) | −0.210372 | + | 0.0272589i | −0.00931545 | + | 0.00120705i | ||||
\(511\) | −3.05092 | − | 1.35836i | −0.134965 | − | 0.0600902i | ||||
\(512\) | 0.156434 | + | 0.987688i | 0.00691349 | + | 0.0436501i | ||||
\(513\) | −5.06634 | − | 8.01320i | −0.223685 | − | 0.353791i | ||||
\(514\) | −8.79532 | − | 12.1057i | −0.387945 | − | 0.533961i | ||||
\(515\) | 24.1458 | + | 33.7076i | 1.06399 | + | 1.48533i | ||||
\(516\) | 0.253498 | + | 8.21387i | 0.0111596 | + | 0.361595i | ||||
\(517\) | −6.77054 | + | 4.39684i | −0.297768 | + | 0.193373i | ||||
\(518\) | −0.00640730 | − | 0.0239124i | −0.000281521 | − | 0.00105065i | ||||
\(519\) | −1.23689 | − | 0.0915322i | −0.0542933 | − | 0.00401782i | ||||
\(520\) | 1.78217 | + | 0.294550i | 0.0781535 | + | 0.0129169i | ||||
\(521\) | 6.05567 | + | 1.96761i | 0.265304 | + | 0.0862024i | 0.438648 | − | 0.898659i | \(-0.355457\pi\) |
−0.173345 | + | 0.984861i | \(0.555457\pi\) | |||||||
\(522\) | 1.94842 | − | 6.19293i | 0.0852799 | − | 0.271057i | ||||
\(523\) | 12.7356 | + | 2.01712i | 0.556888 | + | 0.0882023i | 0.428533 | − | 0.903526i | \(-0.359030\pi\) |
0.128354 | + | 0.991728i | \(0.459030\pi\) | |||||||
\(524\) | −5.73764 | − | 9.93788i | −0.250650 | − | 0.434138i | ||||
\(525\) | −3.35864 | + | 2.53075i | −0.146583 | + | 0.110451i | ||||
\(526\) | 4.88187 | − | 8.45565i | 0.212860 | − | 0.368684i | ||||
\(527\) | −0.127372 | + | 0.157291i | −0.00554840 | + | 0.00685170i | ||||
\(528\) | −2.98954 | − | 4.30656i | −0.130103 | − | 0.187419i | ||||
\(529\) | −2.63480 | − | 12.3958i | −0.114557 | − | 0.538946i | ||||
\(530\) | 0.804269 | − | 13.5985i | 0.0349352 | − | 0.590680i | ||||
\(531\) | 8.03194 | + | 3.99838i | 0.348557 | + | 0.173515i | ||||
\(532\) | −0.626479 | + | 0.626479i | −0.0271613 | + | 0.0271613i | ||||
\(533\) | 0.362833 | + | 6.92327i | 0.0157160 | + | 0.299880i | ||||
\(534\) | 5.64551 | + | 9.11675i | 0.244305 | + | 0.394520i | ||||
\(535\) | 11.9869 | + | 1.34132i | 0.518239 | + | 0.0579903i | ||||
\(536\) | −16.1969 | + | 1.70236i | −0.699600 | + | 0.0735309i | ||||
\(537\) | 16.9534 | − | 18.0331i | 0.731592 | − | 0.778187i | ||||
\(538\) | 5.74924 | − | 4.65564i | 0.247867 | − | 0.200719i | ||||
\(539\) | −16.5635 | + | 12.0341i | −0.713440 | + | 0.518344i | ||||
\(540\) | −11.5762 | + | 0.996165i | −0.498159 | + | 0.0428681i | ||||
\(541\) | −19.9464 | − | 14.4919i | −0.857562 | − | 0.623055i | 0.0696586 | − | 0.997571i | \(-0.477809\pi\) |
−0.927221 | + | 0.374516i | \(0.877809\pi\) | |||||||
\(542\) | −6.61141 | + | 0.346489i | −0.283984 | + | 0.0148830i | ||||
\(543\) | −0.861868 | + | 6.79160i | −0.0369863 | + | 0.291455i | ||||
\(544\) | −0.0113877 | + | 0.0535751i | −0.000488245 | + | 0.00229701i | ||||
\(545\) | 0.631497 | + | 13.8255i | 0.0270503 | + | 0.592220i | ||||
\(546\) | −0.438842 | + | 0.518706i | −0.0187807 | + | 0.0221986i | ||||
\(547\) | −4.02034 | + | 6.19077i | −0.171897 | + | 0.264698i | −0.914110 | − | 0.405465i | \(-0.867109\pi\) |
0.742213 | + | 0.670164i | \(0.233776\pi\) | |||||||
\(548\) | −1.54078 | + | 9.72813i | −0.0658190 | + | 0.415565i | ||||
\(549\) | −4.22268 | − | 15.1900i | −0.180219 | − | 0.648294i | ||||
\(550\) | −4.11289 | + | 14.5642i | −0.175374 | + | 0.621019i | ||||
\(551\) | −3.41940 | + | 1.97419i | −0.145671 | + | 0.0841033i | ||||
\(552\) | −0.119705 | + | 5.56485i | −0.00509497 | + | 0.236856i | ||||
\(553\) | −0.413628 | + | 7.89249i | −0.0175892 | + | 0.335623i | ||||
\(554\) | −2.79190 | − | 3.10072i | −0.118616 | − | 0.131737i | ||||
\(555\) | −0.182571 | + | 0.0751870i | −0.00774973 | + | 0.00319151i | ||||
\(556\) | 5.91500 | − | 6.56927i | 0.250852 | − | 0.278599i | ||||
\(557\) | 15.7462 | + | 15.7462i | 0.667189 | + | 0.667189i | 0.957064 | − | 0.289876i | \(-0.0936140\pi\) |
−0.289876 | + | 0.957064i | \(0.593614\pi\) | |||||||
\(558\) | −7.34048 | + | 8.30725i | −0.310747 | + | 0.351674i | ||||
\(559\) | 2.25284 | − | 3.10076i | 0.0952848 | − | 0.131148i | ||||
\(560\) | 0.328595 | + | 1.03491i | 0.0138857 | + | 0.0437328i | ||||
\(561\) | −0.0683359 | − | 0.278892i | −0.00288514 | − | 0.0117748i | ||||
\(562\) | 6.36237 | − | 16.5746i | 0.268381 | − | 0.699155i | ||||
\(563\) | −4.49302 | + | 11.7047i | −0.189358 | + | 0.493295i | −0.995089 | − | 0.0989873i | \(-0.968440\pi\) |
0.805730 | + | 0.592282i | \(0.201773\pi\) | |||||||
\(564\) | 4.43555 | + | 1.29136i | 0.186770 | + | 0.0543760i | ||||
\(565\) | 9.97133 | + | 31.4047i | 0.419497 | + | 1.32120i | ||||
\(566\) | 7.87210 | − | 10.8350i | 0.330889 | − | 0.455430i | ||||
\(567\) | 1.91098 | − | 3.93041i | 0.0802535 | − | 0.165062i | ||||
\(568\) | −11.6136 | − | 11.6136i | −0.487295 | − | 0.487295i | ||||
\(569\) | −21.8734 | + | 24.2929i | −0.916982 | + | 1.01841i | 0.0827795 | + | 0.996568i | \(0.473620\pi\) |
−0.999761 | + | 0.0218437i | \(0.993046\pi\) | |||||||
\(570\) | 5.59729 | + | 4.31315i | 0.234445 | + | 0.180658i | ||||
\(571\) | 10.6183 | + | 11.7928i | 0.444362 | + | 0.493514i | 0.923163 | − | 0.384410i | \(-0.125595\pi\) |
−0.478801 | + | 0.877924i | \(0.658928\pi\) | |||||||
\(572\) | −0.127966 | + | 2.44174i | −0.00535053 | + | 0.102094i | ||||
\(573\) | −10.0972 | − | 6.12286i | −0.421816 | − | 0.255786i | ||||
\(574\) | −3.60906 | + | 2.08369i | −0.150639 | + | 0.0869716i | ||||
\(575\) | 12.6219 | − | 9.94334i | 0.526370 | − | 0.414666i | ||||
\(576\) | −0.749344 | + | 2.90491i | −0.0312227 | + | 0.121038i | ||||
\(577\) | 3.12270 | − | 19.7160i | 0.130000 | − | 0.820787i | −0.833391 | − | 0.552685i | \(-0.813603\pi\) |
0.963390 | − | 0.268102i | \(-0.0863966\pi\) | |||||||
\(578\) | 9.25723 | − | 14.2549i | 0.385050 | − | 0.592925i | ||||
\(579\) | 3.54060 | + | 0.639114i | 0.147142 | + | 0.0265607i | ||||
\(580\) | 0.220797 | + | 4.83396i | 0.00916810 | + | 0.200719i | ||||
\(581\) | 0.467655 | − | 2.20014i | 0.0194016 | − | 0.0912774i | ||||
\(582\) | 19.2172 | + | 14.6037i | 0.796577 | + | 0.605343i | ||||
\(583\) | 18.4139 | − | 0.965030i | 0.762625 | − | 0.0399675i | ||||
\(584\) | 5.56397 | + | 4.04246i | 0.230239 | + | 0.167278i | ||||
\(585\) | 4.55254 | + | 2.93947i | 0.188224 | + | 0.121532i | ||||
\(586\) | −18.2137 | + | 13.2330i | −0.752401 | + | 0.546651i | ||||
\(587\) | −29.6522 | + | 24.0119i | −1.22388 | + | 0.991078i | −0.224015 | + | 0.974586i | \(0.571916\pi\) |
−0.999864 | + | 0.0164919i | \(0.994750\pi\) | |||||||
\(588\) | 11.4049 | + | 2.68177i | 0.470329 | + | 0.110594i | ||||
\(589\) | 6.70509 | − | 0.704733i | 0.276278 | − | 0.0290380i | ||||
\(590\) | −6.64595 | − | 0.743674i | −0.273610 | − | 0.0306166i | ||||
\(591\) | 43.8288 | − | 1.35265i | 1.80288 | − | 0.0556406i | ||||
\(592\) | 0.00266812 | + | 0.0509108i | 0.000109659 | + | 0.00209242i | ||||
\(593\) | −29.0596 | + | 29.0596i | −1.19334 | + | 1.19334i | −0.217210 | + | 0.976125i | \(0.569696\pi\) |
−0.976125 | + | 0.217210i | \(0.930304\pi\) | |||||||
\(594\) | −3.08258 | − | 15.4224i | −0.126480 | − | 0.632791i | ||||
\(595\) | −0.00351132 | + | 0.0593689i | −0.000143950 | + | 0.00243389i | ||||
\(596\) | 2.88857 | + | 13.5896i | 0.118320 | + | 0.556653i | ||||
\(597\) | 0.514066 | − | 1.09085i | 0.0210393 | − | 0.0446455i | ||||
\(598\) | 1.63374 | − | 2.01750i | 0.0668085 | − | 0.0825016i | ||||
\(599\) | 11.2299 | − | 19.4508i | 0.458842 | − | 0.794738i | −0.540058 | − | 0.841628i | \(-0.681598\pi\) |
0.998900 | + | 0.0468899i | \(0.0149310\pi\) | |||||||
\(600\) | 7.84897 | − | 3.65973i | 0.320433 | − | 0.149408i | ||||
\(601\) | −1.87674 | − | 3.25060i | −0.0765537 | − | 0.132595i | 0.825207 | − | 0.564830i | \(-0.191058\pi\) |
−0.901761 | + | 0.432235i | \(0.857725\pi\) | |||||||
\(602\) | 2.27556 | + | 0.360413i | 0.0927447 | + | 0.0146893i | ||||
\(603\) | −46.6061 | − | 14.6632i | −1.89795 | − | 0.597131i | ||||
\(604\) | 12.6743 | + | 4.11814i | 0.515711 | + | 0.167565i | ||||
\(605\) | 4.05651 | + | 0.670443i | 0.164921 | + | 0.0272574i | ||||
\(606\) | −7.79427 | − | 16.1464i | −0.316621 | − | 0.655904i | ||||
\(607\) | 3.32089 | + | 12.3937i | 0.134791 | + | 0.503045i | 0.999999 | + | 0.00163237i | \(0.000519599\pi\) |
−0.865208 | + | 0.501413i | \(0.832814\pi\) | |||||||
\(608\) | 1.53017 | − | 0.993703i | 0.0620565 | − | 0.0403000i | ||||
\(609\) | −1.60361 | − | 0.861013i | −0.0649817 | − | 0.0348900i | ||||
\(610\) | 6.84324 | + | 9.55317i | 0.277075 | + | 0.386796i | ||||
\(611\) | −1.26645 | − | 1.74313i | −0.0512353 | − | 0.0705193i | ||||
\(612\) | −0.0953361 | + | 0.133831i | −0.00385373 | + | 0.00540981i | ||||
\(613\) | −1.96542 | − | 12.4091i | −0.0793824 | − | 0.501201i | −0.995059 | − | 0.0992849i | \(-0.968344\pi\) |
0.915677 | − | 0.401916i | \(-0.131656\pi\) | |||||||
\(614\) | 13.4852 | + | 6.00401i | 0.544220 | + | 0.242302i | ||||
\(615\) | 20.1801 | + | 26.4108i | 0.813741 | + | 1.06499i | ||||
\(616\) | −1.34271 | + | 0.597812i | −0.0540992 | + | 0.0240865i | ||||
\(617\) | 12.0864 | + | 18.6114i | 0.486579 | + | 0.749266i | 0.993635 | − | 0.112647i | \(-0.0359329\pi\) |
−0.507056 | + | 0.861913i | \(0.669266\pi\) | |||||||
\(618\) | 31.8620 | + | 4.04335i | 1.28168 | + | 0.162647i | ||||
\(619\) | 26.7747 | + | 24.1081i | 1.07617 | + | 0.968986i | 0.999606 | − | 0.0280789i | \(-0.00893897\pi\) |
0.0765622 | + | 0.997065i | \(0.475606\pi\) | |||||||
\(620\) | 3.01286 | − | 7.69393i | 0.120999 | − | 0.308996i | ||||
\(621\) | −6.97689 | + | 15.1710i | −0.279973 | + | 0.608792i | ||||
\(622\) | −13.6017 | − | 26.6948i | −0.545377 | − | 1.07036i | ||||
\(623\) | 2.80666 | − | 1.07737i | 0.112446 | − | 0.0431641i | ||||
\(624\) | 1.10606 | − | 0.856952i | 0.0442779 | − | 0.0343055i | ||||
\(625\) | −22.5573 | − | 10.7782i | −0.902292 | − | 0.431126i | ||||
\(626\) | 5.99864 | + | 3.46331i | 0.239754 | + | 0.138422i | ||||
\(627\) | −4.95955 | + | 8.17878i | −0.198065 | + | 0.326629i | ||||
\(628\) | 4.19214 | + | 2.72241i | 0.167285 | + | 0.108636i | ||||
\(629\) | −0.000862872 | 0.00265565i | −3.44050e−5 | 0.000105888i | ||||||
\(630\) | −0.331978 | + | 3.24051i | −0.0132263 | + | 0.129105i | ||||
\(631\) | −13.8176 | − | 42.5263i | −0.550071 | − | 1.69294i | −0.708617 | − | 0.705593i | \(-0.750681\pi\) |
0.158546 | − | 0.987352i | \(-0.449319\pi\) | |||||||
\(632\) | 4.21243 | − | 15.7210i | 0.167561 | − | 0.625347i | ||||
\(633\) | −3.93288 | + | 11.2732i | −0.156318 | + | 0.448070i | ||||
\(634\) | 3.77492 | + | 8.47862i | 0.149921 | + | 0.336729i | ||||
\(635\) | 10.8532 | + | 19.0933i | 0.430698 | + | 0.757696i | ||||
\(636\) | −7.29902 | − | 7.61994i | −0.289425 | − | 0.302150i | ||||
\(637\) | −3.43878 | − | 4.24655i | −0.136250 | − | 0.168254i | ||||
\(638\) | −6.46947 | + | 1.02466i | −0.256129 | + | 0.0405668i | ||||
\(639\) | −18.0867 | − | 45.8326i | −0.715498 | − | 1.81311i | ||||
\(640\) | −0.218794 | − | 2.22534i | −0.00864858 | − | 0.0879642i | ||||
\(641\) | −26.2758 | − | 2.76170i | −1.03783 | − | 0.109081i | −0.429745 | − | 0.902950i | \(-0.641397\pi\) |
−0.608088 | + | 0.793869i | \(0.708063\pi\) | |||||||
\(642\) | 7.07602 | − | 6.10090i | 0.279268 | − | 0.240783i | ||||
\(643\) | −0.423651 | + | 0.113517i | −0.0167071 | + | 0.00447667i | −0.267163 | − | 0.963651i | \(-0.586086\pi\) |
0.250456 | + | 0.968128i | \(0.419420\pi\) | |||||||
\(644\) | 1.52641 | + | 0.324449i | 0.0601490 | + | 0.0127851i | ||||
\(645\) | 0.518542 | − | 18.3682i | 0.0204176 | − | 0.723247i | ||||
\(646\) | 0.0977486 | − | 0.0207771i | 0.00384587 | − | 0.000817465i | ||||
\(647\) | 38.4660 | − | 19.5994i | 1.51225 | − | 0.770532i | 0.515965 | − | 0.856609i | \(-0.327433\pi\) |
0.996288 | + | 0.0860776i | \(0.0274333\pi\) | |||||||
\(648\) | −5.53218 | + | 7.09894i | −0.217325 | + | 0.278873i | ||||
\(649\) | − | 9.05215i | − | 0.355328i | ||||||
\(650\) | −3.93922 | − | 0.892767i | −0.154509 | − | 0.0350172i | ||||
\(651\) | 1.90351 | + | 2.45685i | 0.0746045 | + | 0.0962916i | ||||
\(652\) | −7.81012 | − | 6.32451i | −0.305868 | − | 0.247687i | ||||
\(653\) | −46.8004 | − | 2.45271i | −1.83144 | − | 0.0959818i | −0.894842 | − | 0.446382i | \(-0.852712\pi\) |
−0.936600 | + | 0.350400i | \(0.886046\pi\) | |||||||
\(654\) | 8.18427 | + | 6.92415i | 0.320030 | + | 0.270756i | ||||
\(655\) | 11.4954 | + | 22.9405i | 0.449161 | + | 0.896359i | ||||
\(656\) | 8.16199 | − | 2.65199i | 0.318672 | − | 0.103543i | ||||
\(657\) | 10.4827 | + | 17.7710i | 0.408969 | + | 0.693311i | ||||
\(658\) | 0.587996 | − | 1.15401i | 0.0229225 | − | 0.0449879i | ||||
\(659\) | −0.00347215 | + | 0.0330353i | −0.000135256 | + | 0.00128687i | −0.994589 | − | 0.103885i | \(-0.966873\pi\) |
0.994454 | + | 0.105172i | \(0.0335393\pi\) | |||||||
\(660\) | 6.10460 | + | 10.0076i | 0.237621 | + | 0.389547i | ||||
\(661\) | 2.12981 | + | 20.2638i | 0.0828401 | + | 0.788171i | 0.954530 | + | 0.298114i | \(0.0963575\pi\) |
−0.871690 | + | 0.490057i | \(0.836976\pi\) | |||||||
\(662\) | 10.1202 | + | 3.88478i | 0.393333 | + | 0.150986i | ||||
\(663\) | 0.0733782 | − | 0.0221091i | 0.00284977 | − | 0.000858645i | ||||
\(664\) | −1.88402 | + | 4.23159i | −0.0731143 | + | 0.164217i | ||||
\(665\) | 1.48111 | − | 1.31570i | 0.0574351 | − | 0.0510206i | ||||
\(666\) | −0.0534728 | + | 0.143290i | −0.00207203 | + | 0.00555236i | ||||
\(667\) | 6.19648 | + | 3.15727i | 0.239929 | + | 0.122250i | ||||
\(668\) | 18.6490 | + | 4.99698i | 0.721551 | + | 0.193339i | ||||
\(669\) | −0.320515 | + | 4.33116i | −0.0123918 | + | 0.167452i | ||||
\(670\) | 36.3790 | − | 1.66165i | 1.40544 | − | 0.0641952i | ||||
\(671\) | −11.8209 | + | 10.6436i | −0.456342 | + | 0.410892i | ||||
\(672\) | 0.760825 | + | 0.358541i | 0.0293494 | + | 0.0138310i | ||||
\(673\) | −10.2739 | − | 26.7644i | −0.396030 | − | 1.03169i | −0.976137 | − | 0.217154i | \(-0.930323\pi\) |
0.580107 | − | 0.814540i | \(-0.303011\pi\) | |||||||
\(674\) | −26.4786 | −1.01992 | ||||||||
\(675\) | 25.9715 | − | 0.695327i | 0.999642 | − | 0.0267631i | ||||
\(676\) | 12.3474 | 0.474901 | ||||||||
\(677\) | −9.26473 | − | 24.1354i | −0.356072 | − | 0.927600i | −0.988260 | − | 0.152785i | \(-0.951176\pi\) |
0.632187 | − | 0.774816i | \(-0.282157\pi\) | |||||||
\(678\) | 23.0875 | + | 10.8800i | 0.886670 | + | 0.417846i | ||||
\(679\) | 5.02874 | − | 4.52790i | 0.192985 | − | 0.173765i | ||||
\(680\) | 0.0324923 | − | 0.118085i | 0.00124602 | − | 0.00452836i | ||||
\(681\) | 2.96748 | − | 40.0999i | 0.113714 | − | 1.53663i | ||||
\(682\) | 10.8035 | + | 2.89479i | 0.413687 | + | 0.110847i | ||||
\(683\) | 23.9462 | + | 12.2012i | 0.916277 | + | 0.466866i | 0.847518 | − | 0.530767i | \(-0.178096\pi\) |
0.0687591 | + | 0.997633i | \(0.478096\pi\) | |||||||
\(684\) | 5.39792 | − | 0.906733i | 0.206395 | − | 0.0346698i | ||||
\(685\) | 4.72359 | − | 21.5114i | 0.180479 | − | 0.821908i | ||||
\(686\) | 2.71855 | − | 6.10597i | 0.103795 | − | 0.233127i | ||||
\(687\) | 39.6120 | − | 11.9352i | 1.51129 | − | 0.455357i | ||||
\(688\) | −4.42941 | − | 1.70029i | −0.168870 | − | 0.0648230i | ||||
\(689\) | 0.514416 | + | 4.89434i | 0.0195977 | + | 0.186460i | ||||
\(690\) | 1.00187 | − | 12.4059i | 0.0381405 | − | 0.472284i | ||||
\(691\) | 3.20966 | − | 30.5379i | 0.122101 | − | 1.16172i | −0.746215 | − | 0.665705i | \(-0.768131\pi\) |
0.868316 | − | 0.496011i | \(-0.165202\pi\) | |||||||
\(692\) | 0.325089 | − | 0.638023i | 0.0123580 | − | 0.0242540i | ||||
\(693\) | −4.40914 | + | 0.0412038i | −0.167489 | + | 0.00156520i | ||||
\(694\) | −28.8280 | + | 9.36680i | −1.09430 | + | 0.355559i | ||||
\(695\) | −14.0705 | + | 13.8828i | −0.533726 | + | 0.526605i | ||||
\(696\) | 2.86155 | + | 2.42097i | 0.108467 | + | 0.0917665i | ||||
\(697\) | 0.469411 | + | 0.0246008i | 0.0177802 | + | 0.000931821i | ||||
\(698\) | 17.7866 | + | 14.4033i | 0.673235 | + | 0.545175i | ||||
\(699\) | 13.5114 | + | 17.4390i | 0.511047 | + | 0.659605i | ||||
\(700\) | −0.596851 | − | 2.35347i | −0.0225589 | − | 0.0889528i | ||||
\(701\) | 25.9358i | 0.979583i | 0.871840 | + | 0.489792i | \(0.162927\pi\) | ||||
−0.871840 | + | 0.489792i | \(0.837073\pi\) | |||||||
\(702\) | 4.06746 | − | 1.03702i | 0.153516 | − | 0.0391398i | ||||
\(703\) | 0.0828770 | − | 0.0422279i | 0.00312576 | − | 0.00159266i | ||||
\(704\) | 2.96062 | − | 0.629298i | 0.111582 | − | 0.0237176i | ||||
\(705\) | −9.73041 | − | 3.46811i | −0.366468 | − | 0.130616i | ||||
\(706\) | −9.56408 | − | 2.03291i | −0.359949 | − | 0.0765095i | ||||
\(707\) | −4.85533 | + | 1.30098i | −0.182604 | + | 0.0489285i | ||||
\(708\) | −3.92319 | + | 3.38255i | −0.147442 | + | 0.127124i | ||||
\(709\) | 42.8648 | + | 4.50527i | 1.60982 | + | 0.169199i | 0.866303 | − | 0.499518i | \(-0.166490\pi\) |
0.743517 | + | 0.668717i | \(0.233156\pi\) | |||||||
\(710\) | 24.3902 | + | 27.4567i | 0.915350 | + | 1.03043i | ||||
\(711\) | 30.3717 | − | 38.2309i | 1.13903 | − | 1.43377i | ||||
\(712\) | −6.11482 | + | 0.968492i | −0.229163 | + | 0.0362958i | ||||
\(713\) | −7.47322 | − | 9.22866i | −0.279874 | − | 0.345616i | ||||
\(714\) | 0.0318664 | + | 0.0332675i | 0.00119257 | + | 0.00124501i | ||||
\(715\) | 0.607999 | − | 5.43347i | 0.0227379 | − | 0.203200i | ||||
\(716\) | 5.81226 | + | 13.0545i | 0.217214 | + | 0.487871i | ||||
\(717\) | 6.45898 | − | 18.5141i | 0.241215 | − | 0.691421i | ||||
\(718\) | −3.38424 | + | 12.6302i | −0.126299 | + | 0.471353i | ||||
\(719\) | −8.39639 | − | 25.8414i | −0.313133 | − | 0.963723i | −0.976516 | − | 0.215444i | \(-0.930880\pi\) |
0.663384 | − | 0.748279i | \(-0.269120\pi\) | |||||||
\(720\) | 2.05617 | − | 6.38531i | 0.0766288 | − | 0.237966i | ||||
\(721\) | 2.78251 | − | 8.56370i | 0.103626 | − | 0.318929i | ||||
\(722\) | 13.1429 | + | 8.53512i | 0.489129 | + | 0.317644i | ||||
\(723\) | 21.9557 | − | 36.2072i | 0.816543 | − | 1.34656i | ||||
\(724\) | −3.42303 | − | 1.97629i | −0.127216 | − | 0.0734482i | ||||
\(725\) | 0.145322 | − | 10.8194i | 0.00539712 | − | 0.401821i | ||||
\(726\) | 2.51757 | − | 1.95056i | 0.0934359 | − | 0.0723920i | ||||
\(727\) | 42.7183 | − | 16.3980i | 1.58433 | − | 0.608169i | 0.602535 | − | 0.798093i | \(-0.294157\pi\) |
0.981799 | + | 0.189924i | \(0.0608241\pi\) | |||||||
\(728\) | −0.178089 | − | 0.349520i | −0.00660042 | − | 0.0129541i | ||||
\(729\) | −23.7041 | + | 12.9273i | −0.877931 | + | 0.478788i | ||||
\(730\) | −11.8860 | − | 9.75801i | −0.439922 | − | 0.361160i | ||||
\(731\) | −0.193119 | − | 0.173886i | −0.00714278 | − | 0.00643139i | ||||
\(732\) | 9.03009 | + | 1.14594i | 0.333762 | + | 0.0423550i | ||||
\(733\) | 4.99056 | + | 7.68478i | 0.184330 | + | 0.283844i | 0.918740 | − | 0.394862i | \(-0.129208\pi\) |
−0.734410 | + | 0.678706i | \(0.762541\pi\) | |||||||
\(734\) | 6.29360 | − | 2.80209i | 0.232301 | − | 0.103427i | ||||
\(735\) | −25.1035 | − | 7.49183i | −0.925958 | − | 0.276340i | ||||
\(736\) | −2.93578 | − | 1.30709i | −0.108214 | − | 0.0481801i | ||||
\(737\) | 7.71131 | + | 48.6873i | 0.284050 | + | 1.79342i | ||||
\(738\) | 25.6291 | + | 2.45181i | 0.943419 | + | 0.0902523i | ||||
\(739\) | −30.6535 | − | 42.1909i | −1.12761 | − | 1.55202i | −0.792535 | − | 0.609826i | \(-0.791239\pi\) |
−0.335072 | − | 0.942193i | \(-0.608761\pi\) | |||||||
\(740\) | 0.000765527 | − | 0.113994i | 2.81413e−5 | − | 0.00419049i | ||||
\(741\) | −2.24915 | − | 1.20762i | −0.0826248 | − | 0.0443630i | ||||
\(742\) | −2.48101 | + | 1.61119i | −0.0910807 | + | 0.0591485i | ||||
\(743\) | −4.90855 | − | 18.3190i | −0.180077 | − | 0.672058i | −0.995631 | − | 0.0933760i | \(-0.970234\pi\) |
0.815554 | − | 0.578681i | \(-0.196433\pi\) | |||||||
\(744\) | −2.78238 | − | 5.76392i | −0.102007 | − | 0.211315i | ||||
\(745\) | −4.65367 | − | 30.7157i | −0.170497 | − | 1.12534i | ||||
\(746\) | −22.1796 | − | 7.20660i | −0.812054 | − | 0.263852i | ||||
\(747\) | −10.2395 | + | 9.39443i | −0.374644 | + | 0.343724i | ||||
\(748\) | 0.163741 | + | 0.0259340i | 0.00598695 | + | 0.000948239i | ||||
\(749\) | −1.30969 | − | 2.26845i | −0.0478550 | − | 0.0828872i | ||||
\(750\) | −18.0034 | + | 7.13292i | −0.657390 | + | 0.260457i | ||||
\(751\) | 13.0100 | − | 22.5340i | 0.474743 | − | 0.822279i | −0.524839 | − | 0.851202i | \(-0.675874\pi\) |
0.999582 | + | 0.0289227i | \(0.00920765\pi\) | |||||||
\(752\) | −1.67852 | + | 2.07280i | −0.0612092 | + | 0.0755871i | ||||
\(753\) | −2.91610 | + | 6.18798i | −0.106269 | + | 0.225502i | ||||
\(754\) | −0.363469 | − | 1.70999i | −0.0132367 | − | 0.0622740i | ||||
\(755\) | −27.7475 | − | 10.8656i | −1.00984 | − | 0.395441i | ||||
\(756\) | 1.66543 | + | 1.89552i | 0.0605713 | + | 0.0689392i | ||||
\(757\) | −16.4627 | + | 16.4627i | −0.598347 | + | 0.598347i | −0.939872 | − | 0.341526i | \(-0.889056\pi\) |
0.341526 | + | 0.939872i | \(0.389056\pi\) | |||||||
\(758\) | −0.595066 | − | 11.3545i | −0.0216138 | − | 0.412415i | ||||
\(759\) | 16.8393 | − | 0.519698i | 0.611229 | − | 0.0188638i | ||||
\(760\) | −3.54678 | + | 2.01610i | −0.128655 | + | 0.0731316i | ||||
\(761\) | −8.79913 | + | 0.924826i | −0.318968 | + | 0.0335249i | −0.262660 | − | 0.964888i | \(-0.584600\pi\) |
−0.0563085 | + | 0.998413i | \(0.517933\pi\) | |||||||
\(762\) | 16.5604 | + | 3.89404i | 0.599918 | + | 0.141066i | ||||
\(763\) | 2.33574 | − | 1.89145i | 0.0845596 | − | 0.0684750i | ||||
\(764\) | 5.51563 | − | 4.00734i | 0.199548 | − | 0.144980i | ||||
\(765\) | 0.230474 | − | 0.286147i | 0.00833282 | − | 0.0103457i | ||||
\(766\) | 0.871703 | + | 0.633329i | 0.0314959 | + | 0.0228831i | ||||
\(767\) | 2.41266 | − | 0.126442i | 0.0871160 | − | 0.00456556i | ||||
\(768\) | −1.37904 | − | 1.04797i | −0.0497618 | − | 0.0378155i | ||||
\(769\) | 0.605366 | − | 2.84802i | 0.0218300 | − | 0.102702i | −0.965884 | − | 0.258976i | \(-0.916615\pi\) |
0.987714 | + | 0.156274i | \(0.0499482\pi\) | |||||||
\(770\) | 3.07607 | − | 1.15715i | 0.110854 | − | 0.0417009i | ||||
\(771\) | 25.5053 | + | 4.60398i | 0.918552 | + | 0.165808i | ||||
\(772\) | −1.13133 | + | 1.74209i | −0.0407173 | + | 0.0626991i | ||||
\(773\) | 0.944704 | − | 5.96463i | 0.0339786 | − | 0.214533i | −0.964857 | − | 0.262776i | \(-0.915362\pi\) |
0.998836 | + | 0.0482428i | \(0.0153621\pi\) | |||||||
\(774\) | −10.1583 | − | 9.97019i | −0.365132 | − | 0.358371i | ||||
\(775\) | −7.74096 | + | 16.7764i | −0.278063 | + | 0.602626i | ||||
\(776\) | −12.0682 | + | 6.96759i | −0.433224 | + | 0.250122i | ||||
\(777\) | 0.0366642 | + | 0.0222329i | 0.00131532 | + | 0.000797601i | ||||
\(778\) | −0.354774 | + | 6.76949i | −0.0127193 | + | 0.242698i | ||||
\(779\) | −10.4773 | − | 11.6362i | −0.375387 | − | 0.416910i | ||||
\(780\) | −2.58205 | + | 1.76684i | −0.0924522 | + | 0.0632629i | ||||
\(781\) | −33.2637 | + | 36.9430i | −1.19027 | + | 1.32193i | ||||
\(782\) | −0.124462 | − | 0.124462i | −0.00445076 | − | 0.00445076i | ||||
\(783\) | 4.98281 | + | 10.0806i | 0.178071 | + | 0.360250i | ||||
\(784\) | −3.97590 | + | 5.47235i | −0.141996 | + | 0.195441i | ||||
\(785\) | −8.99815 | − | 6.63032i | −0.321158 | − | 0.236646i | ||||
\(786\) | 19.0834 | + | 5.55592i | 0.680684 | + | 0.198173i | ||||
\(787\) | 4.09227 | − | 10.6607i | 0.145874 | − | 0.380014i | −0.841104 | − | 0.540874i | \(-0.818094\pi\) |
0.986977 | + | 0.160860i | \(0.0514269\pi\) | |||||||
\(788\) | −9.07266 | + | 23.6351i | −0.323200 | + | 0.841965i | ||||
\(789\) | 4.02465 | + | 16.4254i | 0.143281 | + | 0.584760i | ||||
\(790\) | −11.4783 | + | 34.5357i | −0.408380 | + | 1.22873i | ||||
\(791\) | 4.20589 | − | 5.78891i | 0.149544 | − | 0.205830i | ||||
\(792\) | 8.89910 | + | 1.80481i | 0.316216 | + | 0.0641313i | ||||
\(793\) | −3.00194 | − | 3.00194i | −0.106602 | − | 0.106602i | ||||
\(794\) | 18.8459 | − | 20.9305i | 0.668815 | − | 0.742795i | ||||
\(795\) | 15.2866 | + | 17.9726i | 0.542161 | + | 0.637422i | ||||
\(796\) | 0.465870 | + | 0.517401i | 0.0165123 | + | 0.0183388i | ||||
\(797\) | −2.35842 | + | 45.0013i | −0.0835395 | + | 1.59403i | 0.559918 | + | 0.828548i | \(0.310832\pi\) |
−0.643458 | + | 0.765482i | \(0.722501\pi\) | |||||||
\(798\) | 0.0330019 | − | 1.53420i | 0.00116825 | − | 0.0543100i | ||||
\(799\) | −0.126515 | + | 0.0730437i | −0.00447579 | + | 0.00258410i | ||||
\(800\) | 0.194596 | + | 4.99621i | 0.00688001 | + | 0.176643i | ||||
\(801\) | −17.9844 | − | 4.63922i | −0.635447 | − | 0.163919i | ||||
\(802\) | 6.02721 | − | 38.0543i | 0.212828 | − | 1.34374i | ||||
\(803\) | 11.3374 | − | 17.4581i | 0.400088 | − | 0.616082i | ||||
\(804\) | 18.2195 | − | 21.5352i | 0.642551 | − | 0.759488i | ||||
\(805\) | −3.36437 | − | 0.925740i | −0.118579 | − | 0.0326280i | ||||
\(806\) | −0.620638 | + | 2.91987i | −0.0218610 | + | 0.102848i | ||||
\(807\) | −1.61312 | + | 12.7116i | −0.0567846 | + | 0.447468i | ||||
\(808\) | 10.3373 | − | 0.541753i | 0.363664 | − | 0.0190588i | ||||
\(809\) | 14.2655 | + | 10.3645i | 0.501547 | + | 0.364395i | 0.809607 | − | 0.586972i | \(-0.199680\pi\) |
−0.308061 | + | 0.951367i | \(0.599680\pi\) | |||||||
\(810\) | 13.2860 | − | 15.1157i | 0.466821 | − | 0.531111i | ||||
\(811\) | −31.0478 | + | 22.5576i | −1.09024 | + | 0.792104i | −0.979439 | − | 0.201739i | \(-0.935341\pi\) |
−0.110798 | + | 0.993843i | \(0.535341\pi\) | |||||||
\(812\) | 0.816671 | − | 0.661327i | 0.0286595 | − | 0.0232080i | ||||
\(813\) | 7.85442 | − | 8.35466i | 0.275466 | − | 0.293011i | ||||
\(814\) | 0.153461 | − | 0.0161294i | 0.00537880 | − | 0.000565335i | ||||
\(815\) | 16.5985 | + | 15.1485i | 0.581421 | + | 0.530627i | ||||
\(816\) | −0.0499457 | − | 0.0806557i | −0.00174845 | − | 0.00282351i | ||||
\(817\) | 0.453045 | + | 8.64462i | 0.0158501 | + | 0.302437i | ||||
\(818\) | −13.1814 | + | 13.1814i | −0.460877 | + | 0.460877i | ||||
\(819\) | −0.0725695 | − | 1.17459i | −0.00253579 | − | 0.0410433i | ||||
\(820\) | −18.5690 | + | 4.84215i | −0.648459 | + | 0.169095i | ||||
\(821\) | −4.42058 | − | 20.7972i | −0.154279 | − | 0.725827i | −0.985471 | − | 0.169842i | \(-0.945674\pi\) |
0.831192 | − | 0.555985i | \(-0.187659\pi\) | |||||||
\(822\) | −9.72828 | − | 14.0140i | −0.339313 | − | 0.488794i | ||||
\(823\) | 4.84604 | − | 5.98436i | 0.168922 | − | 0.208602i | −0.685654 | − | 0.727928i | \(-0.740484\pi\) |
0.854576 | + | 0.519326i | \(0.173817\pi\) | |||||||
\(824\) | −9.27153 | + | 16.0588i | −0.322989 | + | 0.559433i | ||||
\(825\) | −12.3053 | − | 23.1446i | −0.428415 | − | 0.805793i | ||||
\(826\) | 0.726136 | + | 1.25770i | 0.0252655 | + | 0.0437611i | ||||
\(827\) | −26.5586 | − | 4.20647i | −0.923534 | − | 0.146273i | −0.323482 | − | 0.946234i | \(-0.604853\pi\) |
−0.600052 | + | 0.799961i | \(0.704853\pi\) | |||||||
\(828\) | −6.51765 | − | 7.10394i | −0.226504 | − | 0.246879i | ||||
\(829\) | 12.7880 | + | 4.15507i | 0.444145 | + | 0.144311i | 0.522547 | − | 0.852610i | \(-0.324982\pi\) |
−0.0784023 | + | 0.996922i | \(0.524982\pi\) | |||||||
\(830\) | 4.76411 | − | 9.19688i | 0.165365 | − | 0.319228i | ||||
\(831\) | 7.20715 | + | 0.533344i | 0.250013 | + | 0.0185015i | ||||
\(832\) | 0.209080 | + | 0.780298i | 0.00724856 | + | 0.0270520i | ||||
\(833\) | −0.310718 | + | 0.201783i | −0.0107657 | + | 0.00699135i | ||||
\(834\) | 0.472306 | + | 15.3037i | 0.0163546 | + | 0.529925i | ||||
\(835\) | −40.9680 | − | 13.6161i | −1.41775 | − | 0.471206i | ||||
\(836\) | −3.24597 | − | 4.46769i | −0.112264 | − | 0.154518i | ||||
\(837\) | −0.771619 | − | 19.1855i | −0.0266711 | − | 0.663148i | ||||
\(838\) | −1.16114 | − | 7.33114i | −0.0401109 | − | 0.253250i | ||||
\(839\) | 5.65728 | + | 2.51878i | 0.195311 | + | 0.0869580i | 0.502062 | − | 0.864832i | \(-0.332575\pi\) |
−0.306751 | + | 0.951790i | \(0.599242\pi\) | |||||||
\(840\) | −1.65095 | − | 0.900767i | −0.0569633 | − | 0.0310794i | ||||
\(841\) | −22.2145 | + | 9.89054i | −0.766018 | + | 0.341053i | ||||
\(842\) | −5.94782 | − | 9.15884i | −0.204975 | − | 0.315634i | ||||
\(843\) | 11.9003 | + | 28.3544i | 0.409867 | + | 0.976576i | ||||
\(844\) | −5.12273 | − | 4.61252i | −0.176332 | − | 0.158770i | ||||
\(845\) | −27.5615 | − | 1.63010i | −0.948145 | − | 0.0560772i | ||||
\(846\) | −7.09520 | + | 3.69910i | −0.243938 | + | 0.127178i | ||||
\(847\) | −0.405359 | − | 0.795562i | −0.0139283 | − | 0.0273358i | ||||
\(848\) | 5.68741 | − | 2.18319i | 0.195307 | − | 0.0749712i | ||||
\(849\) | 3.13525 | + | 22.9842i | 0.107601 | + | 0.788815i | ||||
\(850\) | −0.0881178 | + | 0.259296i | −0.00302242 | + | 0.00889379i | ||||
\(851\) | −0.141883 | − | 0.0819160i | −0.00486368 | − | 0.00280805i | ||||
\(852\) | 28.4408 | + | 0.611785i | 0.974365 | + | 0.0209594i | ||||
\(853\) | −28.0483 | − | 18.2147i | −0.960354 | − | 0.623661i | −0.0336421 | − | 0.999434i | \(-0.510711\pi\) |
−0.926712 | + | 0.375773i | \(0.877377\pi\) | |||||||
\(854\) | 0.788600 | − | 2.42706i | 0.0269853 | − | 0.0830523i | ||||
\(855\) | −12.1688 | + | 1.31135i | −0.416163 | + | 0.0448472i | ||||
\(856\) | 1.66689 | + | 5.13016i | 0.0569731 | + | 0.175345i | ||||
\(857\) | 3.80251 | − | 14.1912i | 0.129891 | − | 0.484761i | −0.870075 | − | 0.492919i | \(-0.835930\pi\) |
0.999967 | + | 0.00815755i | \(0.00259666\pi\) | |||||||
\(858\) | −2.76544 | − | 3.20745i | −0.0944106 | − | 0.109500i | ||||
\(859\) | 15.1257 | + | 33.9730i | 0.516084 | + | 1.15914i | 0.964202 | + | 0.265168i | \(0.0854276\pi\) |
−0.448119 | + | 0.893974i | \(0.647906\pi\) | |||||||
\(860\) | 9.66271 | + | 4.38010i | 0.329496 | + | 0.149360i | ||||
\(861\) | 2.01770 | − | 6.93038i | 0.0687629 | − | 0.236187i | ||||
\(862\) | −15.6040 | − | 19.2694i | −0.531476 | − | 0.656318i | ||||
\(863\) | −15.1595 | + | 2.40103i | −0.516037 | + | 0.0817322i | −0.409021 | − | 0.912525i | \(-0.634130\pi\) |
−0.107016 | + | 0.994257i | \(0.534130\pi\) | |||||||
\(864\) | −2.54315 | − | 4.53127i | −0.0865198 | − | 0.154157i | ||||
\(865\) | −0.809885 | + | 1.38126i | −0.0275369 | + | 0.0469641i | ||||
\(866\) | −27.1017 | − | 2.84850i | −0.920952 | − | 0.0967959i | ||||
\(867\) | 5.50015 | + | 28.9213i | 0.186795 | + | 0.982219i | ||||
\(868\) | −1.73325 | + | 0.464422i | −0.0588302 | + | 0.0157635i | ||||
\(869\) | −48.1857 | − | 10.2422i | −1.63459 | − | 0.347442i | ||||
\(870\) | −6.06785 | − | 5.78178i | −0.205720 | − | 0.196021i | ||||
\(871\) | −12.8688 | + | 2.73535i | −0.436044 | + | 0.0926839i | ||||
\(872\) | −5.51480 | + | 2.80993i | −0.186755 | + | 0.0951562i | ||||
\(873\) | −41.5339 | + | 4.75820i | −1.40571 | + | 0.161041i | ||||
\(874\) | 5.86329i | 0.198329i | ||||||||
\(875\) | 1.02157 | + | 5.33213i | 0.0345353 | + | 0.180259i | ||||
\(876\) | −11.8028 | + | 1.61000i | −0.398779 | + | 0.0543970i | ||||
\(877\) | −24.3134 | − | 19.6886i | −0.821007 | − | 0.664838i | 0.123858 | − | 0.992300i | \(-0.460473\pi\) |
−0.944864 | + | 0.327462i | \(0.893807\pi\) | |||||||
\(878\) | 21.3377 | + | 1.11826i | 0.720112 | + | 0.0377395i | ||||
\(879\) | 6.92692 | − | 38.3741i | 0.233639 | − | 1.29433i | ||||
\(880\) | −6.69167 | + | 1.01384i | −0.225576 | + | 0.0341765i | ||||
\(881\) | 37.2659 | − | 12.1084i | 1.25552 | − | 0.407943i | 0.395625 | − | 0.918412i | \(-0.370528\pi\) |
0.859896 | + | 0.510469i | \(0.170528\pi\) | |||||||
\(882\) | −17.4783 | + | 10.3101i | −0.588526 | + | 0.347158i | ||||
\(883\) | −3.84098 | + | 7.53836i | −0.129259 | + | 0.253686i | −0.946561 | − | 0.322524i | \(-0.895469\pi\) |
0.817302 | + | 0.576210i | \(0.195469\pi\) | |||||||
\(884\) | −0.00462498 | + | 0.0440038i | −0.000155555 | + | 0.00148001i | ||||
\(885\) | 9.20377 | − | 7.03248i | 0.309381 | − | 0.236394i | ||||
\(886\) | −2.03690 | − | 19.3798i | −0.0684309 | − | 0.651076i | ||||
\(887\) | 10.1565 | + | 3.89871i | 0.341021 | + | 0.130906i | 0.522851 | − | 0.852424i | \(-0.324869\pi\) |
−0.181829 | + | 0.983330i | \(0.558202\pi\) | |||||||
\(888\) | −0.0643347 | − | 0.0604825i | −0.00215893 | − | 0.00202966i | ||||
\(889\) | 1.93991 | − | 4.35712i | 0.0650626 | − | 0.146133i | ||||
\(890\) | 13.7772 | − | 1.35456i | 0.461811 | − | 0.0454050i | ||||
\(891\) | 22.3337 | + | 15.5971i | 0.748206 | + | 0.522522i | ||||
\(892\) | −2.23414 | − | 1.13835i | −0.0748046 | − | 0.0381148i | ||||
\(893\) | 4.70052 | + | 1.25950i | 0.157297 | + | 0.0421475i | ||||
\(894\) | −19.8951 | − | 13.5371i | −0.665391 | − | 0.452747i | ||||
\(895\) | −11.2505 | − | 29.9073i | −0.376062 | − | 0.999689i | ||||
\(896\) | −0.360867 | + | 0.324926i | −0.0120557 | + | 0.0108550i | ||||
\(897\) | 0.373729 | + | 4.48090i | 0.0124784 | + | 0.149613i | ||||
\(898\) | 12.1051 | + | 31.5350i | 0.403954 | + | 1.05233i | ||||
\(899\) | −7.99675 | −0.266707 | ||||||||
\(900\) | −5.43269 | + | 13.9816i | −0.181090 | + | 0.466054i | ||||
\(901\) | 0.333674 | 0.0111163 | ||||||||
\(902\) | −9.30886 | − | 24.2504i | −0.309951 | − | 0.807451i | ||||
\(903\) | −3.27809 | + | 2.27559i | −0.109088 | + | 0.0757269i | ||||
\(904\) | −10.9506 | + | 9.86000i | −0.364213 | + | 0.327939i | ||||
\(905\) | 7.37988 | + | 4.86332i | 0.245315 | + | 0.161662i | ||||
\(906\) | −20.7871 | + | 10.0344i | −0.690604 | + | 0.333371i | ||||
\(907\) | −4.94939 | − | 1.32619i | −0.164342 | − | 0.0440353i | 0.175710 | − | 0.984442i | \(-0.443778\pi\) |
−0.340052 | + | 0.940407i | \(0.610445\pi\) | |||||||
\(908\) | 20.6847 | + | 10.5394i | 0.686446 | + | 0.349762i | ||||
\(909\) | 29.0945 | + | 10.8575i | 0.965003 | + | 0.360120i | ||||
\(910\) | 0.351381 | + | 0.803697i | 0.0116482 | + | 0.0266423i | ||||
\(911\) | −9.99522 | + | 22.4496i | −0.331156 | + | 0.743789i | 0.668844 | + | 0.743403i | \(0.266790\pi\) |
−1.00000 | 0.000386179i | \(0.999877\pi\) | ||||||||
\(912\) | −0.723358 | + | 3.07625i | −0.0239528 | + | 0.101865i | ||||
\(913\) | 13.0889 | + | 5.02435i | 0.433179 | + | 0.166282i | ||||
\(914\) | −2.01479 | − | 19.1694i | −0.0666432 | − | 0.634067i | ||||
\(915\) | −20.0054 | − | 3.75007i | −0.661358 | − | 0.123974i | ||||
\(916\) | −2.49672 | + | 23.7547i | −0.0824940 | + | 0.784878i | ||||
\(917\) | 2.52979 | − | 4.96498i | 0.0835409 | − | 0.163958i | ||||
\(918\) | −0.0410997 | − | 0.281620i | −0.00135649 | − | 0.00929486i | ||||
\(919\) | 21.8273 | − | 7.09211i | 0.720015 | − | 0.233947i | 0.0739855 | − | 0.997259i | \(-0.476428\pi\) |
0.646030 | + | 0.763312i | \(0.276428\pi\) | |||||||
\(920\) | 6.38059 | + | 3.30523i | 0.210362 | + | 0.108970i | ||||
\(921\) | −24.0609 | + | 8.64713i | −0.792833 | + | 0.284933i | ||||
\(922\) | 24.2385 | + | 1.27029i | 0.798252 | + | 0.0418346i | ||||
\(923\) | −10.3110 | − | 8.34968i | −0.339391 | − | 0.274833i | ||||
\(924\) | 0.963208 | − | 2.35647i | 0.0316872 | − | 0.0775222i | ||||
\(925\) | −0.0167582 | + | 0.254352i | −0.000551005 | + | 0.00836304i | ||||
\(926\) | − | 24.6876i | − | 0.811285i | ||||||
\(927\) | −44.6974 | + | 33.1171i | −1.46806 | + | 1.08771i | ||||
\(928\) | −1.92820 | + | 0.982467i | −0.0632962 | + | 0.0322510i | ||||
\(929\) | 47.2478 | − | 10.0428i | 1.55015 | − | 0.329495i | 0.648247 | − | 0.761430i | \(-0.275502\pi\) |
0.901905 | + | 0.431935i | \(0.142169\pi\) | |||||||
\(930\) | 5.44979 | + | 13.2334i | 0.178706 | + | 0.433939i | ||||
\(931\) | 12.0717 | + | 2.56592i | 0.395634 | + | 0.0840946i | ||||
\(932\) | −12.3028 | + | 3.29652i | −0.402991 | + | 0.107981i | ||||
\(933\) | 48.9966 | + | 17.0934i | 1.60408 | + | 0.559612i | ||||
\(934\) | 10.4786 | + | 1.10135i | 0.342871 | + | 0.0360372i | ||||
\(935\) | −0.362073 | − | 0.0795059i | −0.0118410 | − | 0.00260012i | ||||
\(936\) | −0.356730 | + | 2.39707i | −0.0116601 | + | 0.0783508i | ||||
\(937\) | −35.2519 | + | 5.58336i | −1.15163 | + | 0.182400i | −0.702914 | − | 0.711274i | \(-0.748118\pi\) |
−0.448715 | + | 0.893675i | \(0.648118\pi\) | |||||||
\(938\) | −4.97695 | − | 6.14602i | −0.162503 | − | 0.200675i | ||||
\(939\) | −11.6526 | + | 2.85518i | −0.380267 | + | 0.0931754i | ||||
\(940\) | 4.02038 | − | 4.40523i | 0.131130 | − | 0.143683i | ||||
\(941\) | 10.9708 | + | 24.6408i | 0.357637 | + | 0.803266i | 0.999340 | + | 0.0363133i | \(0.0115614\pi\) |
−0.641703 | + | 0.766953i | \(0.721772\pi\) | |||||||
\(942\) | −8.50531 | + | 1.61751i | −0.277118 | + | 0.0527013i | ||||
\(943\) | −7.13805 | + | 26.6396i | −0.232447 | + | 0.867503i | ||||
\(944\) | −0.924180 | − | 2.84433i | −0.0300795 | − | 0.0925752i | ||||
\(945\) | −3.46728 | − | 4.45098i | −0.112791 | − | 0.144790i | ||||
\(946\) | −4.43766 | + | 13.6577i | −0.144281 | + | 0.444051i | ||||
\(947\) | −18.7962 | − | 12.2064i | −0.610795 | − | 0.396655i | 0.201848 | − | 0.979417i | \(-0.435305\pi\) |
−0.812643 | + | 0.582762i | \(0.801972\pi\) | |||||||
\(948\) | 13.5668 | + | 24.7108i | 0.440628 | + | 0.802570i | ||||
\(949\) | 4.81144 | + | 2.77788i | 0.156186 | + | 0.0901740i | ||||
\(950\) | 8.18317 | − | 4.03202i | 0.265497 | − | 0.130816i | ||||
\(951\) | −14.8801 | − | 6.08224i | −0.482520 | − | 0.197230i | ||||
\(952\) | −0.0248304 | + | 0.00953151i | −0.000804759 | + | 0.000308918i | ||||
\(953\) | 10.7589 | + | 21.1155i | 0.348514 | + | 0.683998i | 0.997014 | − | 0.0772167i | \(-0.0246033\pi\) |
−0.648500 | + | 0.761215i | \(0.724603\pi\) | |||||||
\(954\) | 18.2592 | + | 0.785907i | 0.591164 | + | 0.0254447i | ||||
\(955\) | −12.8408 | + | 8.21688i | −0.415520 | + | 0.265892i | ||||
\(956\) | 8.41308 | + | 7.57517i | 0.272098 | + | 0.244999i | ||||
\(957\) | 6.86435 | − | 9.03287i | 0.221893 | − | 0.291991i | ||||
\(958\) | −19.3176 | − | 29.7465i | −0.624124 | − | 0.961067i | ||||
\(959\) | −4.36931 | + | 1.94534i | −0.141093 | + | 0.0628184i | ||||
\(960\) | 2.93989 | + | 2.52131i | 0.0948847 | + | 0.0813750i | ||||
\(961\) | −15.8456 | − | 7.05493i | −0.511150 | − | 0.227578i | ||||
\(962\) | 0.00644251 | + | 0.0406764i | 0.000207715 | + | 0.00131146i | ||||
\(963\) | −1.54107 | + | 16.1090i | −0.0496602 | + | 0.519104i | ||||
\(964\) | 14.3698 | + | 19.7783i | 0.462819 | + | 0.637016i | ||||
\(965\) | 2.75530 | − | 3.73927i | 0.0886961 | − | 0.120371i | ||||
\(966\) | −2.29797 | + | 1.42301i | −0.0739358 | + | 0.0457845i | ||||
\(967\) | 25.2796 | − | 16.4168i | 0.812937 | − | 0.527928i | −0.0699290 | − | 0.997552i | \(-0.522277\pi\) |
0.882866 | + | 0.469624i | \(0.155611\pi\) | |||||||
\(968\) | 0.475900 | + | 1.77608i | 0.0152960 | + | 0.0570855i | ||||
\(969\) | −0.0973706 | + | 0.143103i | −0.00312799 | + | 0.00459713i | ||||
\(970\) | 27.8581 | − | 13.9596i | 0.894471 | − | 0.448215i | ||||
\(971\) | −2.86887 | − | 0.932152i | −0.0920663 | − | 0.0299142i | 0.262622 | − | 0.964899i | \(-0.415413\pi\) |
−0.354688 | + | 0.934985i | \(0.615413\pi\) | |||||||
\(972\) | −1.58575 | − | 15.5076i | −0.0508628 | − | 0.497406i | ||||
\(973\) | 4.23972 | + | 0.671506i | 0.135919 | + | 0.0215275i | ||||
\(974\) | 20.6841 | + | 35.8259i | 0.662762 | + | 1.14794i | ||||
\(975\) | 5.99683 | − | 3.60300i | 0.192052 | − | 0.115388i | ||||
\(976\) | −2.62767 | + | 4.55126i | −0.0841096 | + | 0.145682i | ||||
\(977\) | −20.0927 | + | 24.8124i | −0.642821 | + | 0.793818i | −0.989557 | − | 0.144145i | \(-0.953957\pi\) |
0.346736 | + | 0.937963i | \(0.387290\pi\) | |||||||
\(978\) | 17.3464 | − | 1.44678i | 0.554678 | − | 0.0462628i | ||||
\(979\) | 3.89601 | + | 18.3293i | 0.124517 | + | 0.585807i | ||||
\(980\) | 9.59732 | − | 11.6903i | 0.306575 | − | 0.373433i | ||||
\(981\) | −18.5329 | + | 1.14502i | −0.591709 | + | 0.0365576i | ||||
\(982\) | 19.0254 | − | 19.0254i | 0.607124 | − | 0.607124i | ||||
\(983\) | −1.10450 | − | 21.0751i | −0.0352280 | − | 0.672191i | −0.957987 | − | 0.286812i | \(-0.907404\pi\) |
0.922759 | − | 0.385378i | \(-0.125929\pi\) | |||||||
\(984\) | −7.03161 | + | 13.0962i | −0.224160 | + | 0.417491i | ||||
\(985\) | 23.3720 | − | 51.5597i | 0.744694 | − | 1.64283i | ||||
\(986\) | −0.117881 | + | 0.0123898i | −0.00375410 | + | 0.000394572i | ||||
\(987\) | 0.647176 | + | 2.14792i | 0.0205998 | + | 0.0683692i | ||||
\(988\) | 1.14543 | − | 0.927548i | 0.0364409 | − | 0.0295092i | ||||
\(989\) | 12.3352 | − | 8.96202i | 0.392235 | − | 0.284976i | ||||
\(990\) | −19.6260 | − | 5.20350i | −0.623756 | − | 0.165378i | ||||
\(991\) | 5.25476 | + | 3.81781i | 0.166923 | + | 0.121277i | 0.668111 | − | 0.744062i | \(-0.267103\pi\) |
−0.501187 | + | 0.865339i | \(0.667103\pi\) | |||||||
\(992\) | 3.69017 | − | 0.193394i | 0.117163 | − | 0.00614026i | ||||
\(993\) | −17.3128 | + | 7.26615i | −0.549405 | + | 0.230584i | ||||
\(994\) | 1.65819 | − | 7.80116i | 0.0525946 | − | 0.247438i | ||||
\(995\) | −0.971593 | − | 1.21643i | −0.0308016 | − | 0.0385634i | ||||
\(996\) | −2.71342 | − | 7.55016i | −0.0859780 | − | 0.239236i | ||||
\(997\) | −31.2535 | + | 48.1261i | −0.989807 | + | 1.52417i | −0.144767 | + | 0.989466i | \(0.546243\pi\) |
−0.845040 | + | 0.534704i | \(0.820423\pi\) | |||||||
\(998\) | −6.28184 | + | 39.6620i | −0.198848 | + | 1.25548i | ||||
\(999\) | −0.104795 | − | 0.243294i | −0.00331555 | − | 0.00769747i |
(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 | 450.2.w.a.23.14 | ✓ | 480 | |
9.2 | odd | 6 | inner | 450.2.w.a.173.24 | yes | 480 | |
25.12 | odd | 20 | inner | 450.2.w.a.437.24 | yes | 480 | |
225.137 | even | 60 | inner | 450.2.w.a.137.14 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
450.2.w.a.23.14 | ✓ | 480 | 1.1 | even | 1 | trivial | |
450.2.w.a.137.14 | yes | 480 | 225.137 | even | 60 | inner | |
450.2.w.a.173.24 | yes | 480 | 9.2 | odd | 6 | inner | |
450.2.w.a.437.24 | yes | 480 | 25.12 | odd | 20 | inner |