Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,6,Mod(7,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([6]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.7");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.d (of order \(7\), 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: | \(4.65113077458\) |
Analytic rank: | \(0\) |
Dimension: | \(66\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 16.5 | ||
Character | \(\chi\) | \(=\) | 29.16 |
Dual form | 29.6.d.a.20.5 |
$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.07802 | − | 1.48230i | −0.544123 | − | 0.262036i | 0.141568 | − | 0.989928i | \(-0.454786\pi\) |
−0.685691 | + | 0.727893i | \(0.740500\pi\) | |||||||
\(3\) | 18.8759 | − | 23.6696i | 1.21089 | − | 1.51841i | 0.418704 | − | 0.908123i | \(-0.362484\pi\) |
0.792184 | − | 0.610283i | \(-0.208944\pi\) | |||||||
\(4\) | −12.6747 | − | 15.8935i | −0.396083 | − | 0.496672i | ||||
\(5\) | 15.8039 | + | 7.61077i | 0.282709 | + | 0.136146i | 0.569865 | − | 0.821738i | \(-0.306995\pi\) |
−0.287156 | + | 0.957884i | \(0.592710\pi\) | |||||||
\(6\) | −93.1857 | + | 44.8759i | −1.05675 | + | 0.508903i | ||||
\(7\) | −39.8314 | + | 49.9470i | −0.307242 | + | 0.385269i | −0.911349 | − | 0.411634i | \(-0.864958\pi\) |
0.604107 | + | 0.796903i | \(0.293530\pi\) | |||||||
\(8\) | 39.7806 | + | 174.290i | 0.219759 | + | 0.962827i | ||||
\(9\) | −149.879 | − | 656.661i | −0.616784 | − | 2.70231i | ||||
\(10\) | −37.3634 | − | 46.8523i | −0.118154 | − | 0.148160i | ||||
\(11\) | −25.0902 | + | 109.927i | −0.0625204 | + | 0.273920i | −0.996520 | − | 0.0833544i | \(-0.973437\pi\) |
0.934000 | + | 0.357274i | \(0.116294\pi\) | |||||||
\(12\) | −615.438 | −1.23376 | ||||||||
\(13\) | 148.388 | − | 650.132i | 0.243524 | − | 1.06695i | −0.694259 | − | 0.719725i | \(-0.744268\pi\) |
0.937783 | − | 0.347222i | \(-0.112875\pi\) | |||||||
\(14\) | 196.638 | − | 94.6960i | 0.268132 | − | 0.129125i | ||||
\(15\) | 478.457 | − | 230.413i | 0.549054 | − | 0.264410i | ||||
\(16\) | −8.84858 | + | 38.7681i | −0.00864119 | + | 0.0378595i | ||||
\(17\) | −137.506 | −0.115398 | −0.0576990 | − | 0.998334i | \(-0.518376\pi\) | ||||
−0.0576990 | + | 0.998334i | \(0.518376\pi\) | |||||||
\(18\) | −512.037 | + | 2243.38i | −0.372495 | + | 1.63201i | ||||
\(19\) | 1469.67 | + | 1842.91i | 0.933979 | + | 1.17117i | 0.985014 | + | 0.172475i | \(0.0551765\pi\) |
−0.0510351 | + | 0.998697i | \(0.516252\pi\) | |||||||
\(20\) | −79.3475 | − | 347.644i | −0.0443566 | − | 0.194339i | ||||
\(21\) | 430.373 | + | 1885.59i | 0.212959 | + | 0.933036i | ||||
\(22\) | 240.173 | − | 301.167i | 0.105796 | − | 0.132663i | ||||
\(23\) | 2898.41 | − | 1395.80i | 1.14246 | − | 0.550179i | 0.235698 | − | 0.971826i | \(-0.424262\pi\) |
0.906760 | + | 0.421647i | \(0.138548\pi\) | |||||||
\(24\) | 4876.28 | + | 2348.29i | 1.72807 | + | 0.832193i | ||||
\(25\) | −1756.57 | − | 2202.66i | −0.562101 | − | 0.704852i | ||||
\(26\) | −1420.43 | + | 1781.16i | −0.412085 | + | 0.516738i | ||||
\(27\) | −11743.8 | − | 5655.53i | −3.10027 | − | 1.49301i | ||||
\(28\) | 1298.68 | 0.313046 | ||||||||
\(29\) | 4343.01 | − | 1284.30i | 0.958950 | − | 0.283577i | ||||
\(30\) | −1814.24 | −0.368037 | ||||||||
\(31\) | 76.5604 | + | 36.8695i | 0.0143087 | + | 0.00689070i | 0.441024 | − | 0.897495i | \(-0.354615\pi\) |
−0.426716 | + | 0.904386i | \(0.640330\pi\) | |||||||
\(32\) | 3651.51 | − | 4578.85i | 0.630374 | − | 0.790464i | ||||
\(33\) | 2128.33 | + | 2668.85i | 0.340216 | + | 0.426617i | ||||
\(34\) | 423.246 | + | 203.824i | 0.0627907 | + | 0.0302384i | ||||
\(35\) | −1009.63 | + | 486.212i | −0.139313 | + | 0.0670896i | ||||
\(36\) | −8537.00 | + | 10705.1i | −1.09786 | + | 1.37668i | ||||
\(37\) | 2814.00 | + | 12328.9i | 0.337924 | + | 1.48054i | 0.803377 | + | 0.595470i | \(0.203034\pi\) |
−0.465453 | + | 0.885073i | \(0.654109\pi\) | |||||||
\(38\) | −1791.94 | − | 7851.02i | −0.201310 | − | 0.881997i | ||||
\(39\) | −12587.4 | − | 15784.1i | −1.32518 | − | 1.66172i | ||||
\(40\) | −697.794 | + | 3057.24i | −0.0689568 | + | 0.302120i | ||||
\(41\) | 6149.81 | 0.571350 | 0.285675 | − | 0.958327i | \(-0.407782\pi\) | ||||
0.285675 | + | 0.958327i | \(0.407782\pi\) | |||||||
\(42\) | 1470.30 | − | 6441.82i | 0.128613 | − | 0.563489i | ||||
\(43\) | 6405.94 | − | 3084.94i | 0.528338 | − | 0.254434i | −0.150645 | − | 0.988588i | \(-0.548135\pi\) |
0.678983 | + | 0.734154i | \(0.262421\pi\) | |||||||
\(44\) | 2065.14 | − | 994.518i | 0.160812 | − | 0.0774428i | ||||
\(45\) | 2629.03 | − | 11518.5i | 0.193537 | − | 0.847941i | ||||
\(46\) | −10990.4 | −0.765804 | ||||||||
\(47\) | 3653.00 | − | 16004.8i | 0.241215 | − | 1.05683i | −0.698697 | − | 0.715418i | \(-0.746236\pi\) |
0.939912 | − | 0.341416i | \(-0.110906\pi\) | |||||||
\(48\) | 750.602 | + | 941.225i | 0.0470226 | + | 0.0589645i | ||||
\(49\) | 2831.75 | + | 12406.7i | 0.168486 | + | 0.738186i | ||||
\(50\) | 2141.75 | + | 9383.60i | 0.121155 | + | 0.530816i | ||||
\(51\) | −2595.54 | + | 3254.70i | −0.139734 | + | 0.175221i | ||||
\(52\) | −12213.7 | + | 5881.78i | −0.626379 | + | 0.301648i | ||||
\(53\) | −7977.78 | − | 3841.89i | −0.390115 | − | 0.187869i | 0.228536 | − | 0.973535i | \(-0.426606\pi\) |
−0.618651 | + | 0.785666i | \(0.712320\pi\) | |||||||
\(54\) | 27764.6 | + | 34815.7i | 1.29571 | + | 1.62476i | ||||
\(55\) | −1233.15 | + | 1546.33i | −0.0549681 | + | 0.0689278i | ||||
\(56\) | −10289.8 | − | 4955.31i | −0.438467 | − | 0.211155i | ||||
\(57\) | 71362.4 | 2.90926 | ||||||||
\(58\) | −15271.6 | − | 2484.54i | −0.596093 | − | 0.0969784i | ||||
\(59\) | −29632.0 | −1.10823 | −0.554116 | − | 0.832439i | \(-0.686944\pi\) | ||||
−0.554116 | + | 0.832439i | \(0.686944\pi\) | |||||||
\(60\) | −9726.35 | − | 4683.96i | −0.348796 | − | 0.167971i | ||||
\(61\) | −31352.6 | + | 39314.9i | −1.07882 | + | 1.35280i | −0.147308 | + | 0.989091i | \(0.547061\pi\) |
−0.931513 | + | 0.363708i | \(0.881511\pi\) | |||||||
\(62\) | −181.003 | − | 226.970i | −0.00598007 | − | 0.00749877i | ||||
\(63\) | 38768.1 | + | 18669.8i | 1.23062 | + | 0.592635i | ||||
\(64\) | −16880.2 | + | 8129.07i | −0.515143 | + | 0.248080i | ||||
\(65\) | 7293.13 | − | 9145.29i | 0.214107 | − | 0.268481i | ||||
\(66\) | −2595.03 | − | 11369.6i | −0.0733303 | − | 0.321281i | ||||
\(67\) | 8066.49 | + | 35341.6i | 0.219532 | + | 0.961832i | 0.957825 | + | 0.287352i | \(0.0927749\pi\) |
−0.738293 | + | 0.674480i | \(0.764368\pi\) | |||||||
\(68\) | 1742.84 | + | 2185.45i | 0.0457072 | + | 0.0573150i | ||||
\(69\) | 21672.0 | − | 94951.2i | 0.547994 | − | 2.40092i | ||||
\(70\) | 3828.37 | 0.0933832 | ||||||||
\(71\) | −1766.52 | + | 7739.65i | −0.0415885 | + | 0.182211i | −0.991456 | − | 0.130442i | \(-0.958361\pi\) |
0.949867 | + | 0.312653i | \(0.101218\pi\) | |||||||
\(72\) | 108487. | − | 52244.8i | 2.46631 | − | 1.18771i | ||||
\(73\) | −43742.6 | + | 21065.3i | −0.960721 | + | 0.462659i | −0.847432 | − | 0.530903i | \(-0.821853\pi\) |
−0.113288 | + | 0.993562i | \(0.536138\pi\) | |||||||
\(74\) | 9613.59 | − | 42119.9i | 0.204083 | − | 0.894145i | ||||
\(75\) | −85292.8 | −1.75089 | ||||||||
\(76\) | 10662.8 | − | 46716.6i | 0.211756 | − | 0.927763i | ||||
\(77\) | −4491.16 | − | 5631.73i | −0.0863240 | − | 0.108247i | ||||
\(78\) | 15347.6 | + | 67242.1i | 0.285629 | + | 1.25142i | ||||
\(79\) | −7774.71 | − | 34063.2i | −0.140158 | − | 0.614070i | −0.995397 | − | 0.0958373i | \(-0.969447\pi\) |
0.855239 | − | 0.518233i | \(-0.173410\pi\) | |||||||
\(80\) | −434.898 | + | 545.345i | −0.00759735 | + | 0.00952678i | ||||
\(81\) | −208075. | + | 100204.i | −3.52377 | + | 1.69696i | ||||
\(82\) | −18929.2 | − | 9115.85i | −0.310884 | − | 0.149714i | ||||
\(83\) | 44242.6 | + | 55478.4i | 0.704929 | + | 0.883953i | 0.997381 | − | 0.0723274i | \(-0.0230426\pi\) |
−0.292452 | + | 0.956280i | \(0.594471\pi\) | |||||||
\(84\) | 24513.8 | − | 30739.3i | 0.379064 | − | 0.475331i | ||||
\(85\) | −2173.13 | − | 1046.52i | −0.0326241 | − | 0.0157109i | ||||
\(86\) | −24290.4 | −0.354151 | ||||||||
\(87\) | 51579.3 | − | 127040.i | 0.730596 | − | 1.79945i | ||||
\(88\) | −20157.4 | −0.277477 | ||||||||
\(89\) | 64826.5 | + | 31218.8i | 0.867516 | + | 0.417774i | 0.814049 | − | 0.580796i | \(-0.197259\pi\) |
0.0534669 | + | 0.998570i | \(0.482973\pi\) | |||||||
\(90\) | −25166.1 | + | 31557.3i | −0.327499 | + | 0.410670i | ||||
\(91\) | 26561.6 | + | 33307.2i | 0.336241 | + | 0.421633i | ||||
\(92\) | −58920.5 | − | 28374.6i | −0.725767 | − | 0.349511i | ||||
\(93\) | 2317.83 | − | 1116.21i | 0.0277891 | − | 0.0133825i | ||||
\(94\) | −34967.9 | + | 43848.4i | −0.408179 | + | 0.511840i | ||||
\(95\) | 9200.64 | + | 40310.6i | 0.104595 | + | 0.458259i | ||||
\(96\) | −39454.1 | − | 172860.i | −0.436932 | − | 1.91433i | ||||
\(97\) | 12866.4 | + | 16134.0i | 0.138845 | + | 0.174106i | 0.846392 | − | 0.532560i | \(-0.178770\pi\) |
−0.707548 | + | 0.706666i | \(0.750199\pi\) | |||||||
\(98\) | 9674.23 | − | 42385.6i | 0.101754 | − | 0.445813i | ||||
\(99\) | 75945.4 | 0.778778 | ||||||||
\(100\) | −12744.2 | + | 55836.0i | −0.127442 | + | 0.558360i | ||||
\(101\) | 95282.6 | − | 45885.7i | 0.929416 | − | 0.447583i | 0.0929925 | − | 0.995667i | \(-0.470357\pi\) |
0.836424 | + | 0.548084i | \(0.184642\pi\) | |||||||
\(102\) | 12813.6 | − | 6170.69i | 0.121947 | − | 0.0587264i | ||||
\(103\) | 20369.8 | − | 89246.1i | 0.189188 | − | 0.828889i | −0.787857 | − | 0.615858i | \(-0.788809\pi\) |
0.977046 | − | 0.213031i | \(-0.0683334\pi\) | |||||||
\(104\) | 119215. | 1.08080 | ||||||||
\(105\) | −7549.19 | + | 33075.2i | −0.0668232 | + | 0.292772i | ||||
\(106\) | 18860.9 | + | 23650.9i | 0.163042 | + | 0.204448i | ||||
\(107\) | −1506.97 | − | 6602.46i | −0.0127246 | − | 0.0557502i | 0.968167 | − | 0.250305i | \(-0.0805309\pi\) |
−0.980892 | + | 0.194555i | \(0.937674\pi\) | |||||||
\(108\) | 58962.7 | + | 258333.i | 0.486427 | + | 2.13118i | ||||
\(109\) | −51810.0 | + | 64967.6i | −0.417683 | + | 0.523758i | −0.945510 | − | 0.325594i | \(-0.894436\pi\) |
0.527826 | + | 0.849352i | \(0.323007\pi\) | |||||||
\(110\) | 6087.79 | − | 2931.73i | 0.0479709 | − | 0.0231016i | ||||
\(111\) | 344937. | + | 166113.i | 2.65725 | + | 1.27967i | ||||
\(112\) | −1583.90 | − | 1986.15i | −0.0119312 | − | 0.0149612i | ||||
\(113\) | −146220. | + | 183354.i | −1.07723 | + | 1.35081i | −0.144804 | + | 0.989460i | \(0.546255\pi\) |
−0.932430 | + | 0.361350i | \(0.882316\pi\) | |||||||
\(114\) | −219655. | − | 105780.i | −1.58299 | − | 0.762329i | ||||
\(115\) | 56429.4 | 0.397888 | ||||||||
\(116\) | −75458.2 | − | 52747.7i | −0.520668 | − | 0.363964i | ||||
\(117\) | −449156. | −3.03342 | ||||||||
\(118\) | 91208.0 | + | 43923.5i | 0.603015 | + | 0.290397i | ||||
\(119\) | 5477.05 | − | 6868.00i | 0.0354551 | − | 0.0444593i | ||||
\(120\) | 59192.1 | + | 74224.5i | 0.375241 | + | 0.470537i | ||||
\(121\) | 133647. | + | 64361.2i | 0.829846 | + | 0.399633i | ||||
\(122\) | 154781. | − | 74538.4i | 0.941492 | − | 0.453399i | ||||
\(123\) | 116083. | − | 145563.i | 0.691840 | − | 0.867540i | ||||
\(124\) | −384.390 | − | 1684.12i | −0.00224501 | − | 0.00983602i | ||||
\(125\) | −23194.3 | − | 101621.i | −0.132772 | − | 0.581712i | ||||
\(126\) | −91655.1 | − | 114932.i | −0.514316 | − | 0.644932i | ||||
\(127\) | −259.910 | + | 1138.74i | −0.00142992 | + | 0.00626491i | −0.975638 | − | 0.219387i | \(-0.929594\pi\) |
0.974208 | + | 0.225652i | \(0.0724513\pi\) | |||||||
\(128\) | −123403. | −0.665734 | ||||||||
\(129\) | 47898.5 | − | 209857.i | 0.253424 | − | 1.11032i | ||||
\(130\) | −36004.4 | + | 17338.8i | −0.186852 | + | 0.0899832i | ||||
\(131\) | 82441.5 | − | 39701.7i | 0.419728 | − | 0.202130i | −0.212085 | − | 0.977251i | \(-0.568025\pi\) |
0.631813 | + | 0.775121i | \(0.282311\pi\) | |||||||
\(132\) | 15441.4 | − | 67653.4i | 0.0771353 | − | 0.337952i | ||||
\(133\) | −150587. | −0.738174 | ||||||||
\(134\) | 27557.9 | − | 120739.i | 0.132582 | − | 0.580880i | ||||
\(135\) | −142556. | − | 178759.i | −0.673209 | − | 0.844178i | ||||
\(136\) | −5470.06 | − | 23965.9i | −0.0253598 | − | 0.111108i | ||||
\(137\) | 31873.9 | + | 139649.i | 0.145089 | + | 0.635676i | 0.994208 | + | 0.107474i | \(0.0342763\pi\) |
−0.849119 | + | 0.528202i | \(0.822867\pi\) | |||||||
\(138\) | −207453. | + | 260138.i | −0.927303 | + | 1.16280i | ||||
\(139\) | −29280.0 | + | 14100.5i | −0.128539 | + | 0.0619009i | −0.497048 | − | 0.867723i | \(-0.665583\pi\) |
0.368509 | + | 0.929624i | \(0.379868\pi\) | |||||||
\(140\) | 20524.3 | + | 9883.99i | 0.0885011 | + | 0.0426199i | ||||
\(141\) | −309874. | − | 388570.i | −1.31262 | − | 1.64597i | ||||
\(142\) | 16909.9 | − | 21204.3i | 0.0703751 | − | 0.0882476i | ||||
\(143\) | 67744.1 | + | 32623.8i | 0.277033 | + | 0.133412i | ||||
\(144\) | 26783.7 | 0.107638 | ||||||||
\(145\) | 78411.1 | + | 12756.7i | 0.309712 | + | 0.0503870i | ||||
\(146\) | 165866. | 0.643983 | ||||||||
\(147\) | 347113. | + | 167161.i | 1.32488 | + | 0.638030i | ||||
\(148\) | 160284. | − | 200989.i | 0.601499 | − | 0.754256i | ||||
\(149\) | −179110. | − | 224597.i | −0.660928 | − | 0.828777i | 0.332516 | − | 0.943098i | \(-0.392102\pi\) |
−0.993444 | + | 0.114320i | \(0.963531\pi\) | |||||||
\(150\) | 262533. | + | 126429.i | 0.952700 | + | 0.458796i | ||||
\(151\) | −331602. | + | 159691.i | −1.18352 | + | 0.569952i | −0.918934 | − | 0.394411i | \(-0.870949\pi\) |
−0.264583 | + | 0.964363i | \(0.585234\pi\) | |||||||
\(152\) | −262737. | + | 329462.i | −0.922386 | + | 1.15664i | ||||
\(153\) | 20609.2 | + | 90294.6i | 0.0711757 | + | 0.311841i | ||||
\(154\) | 5475.98 | + | 23991.8i | 0.0186063 | + | 0.0815195i | ||||
\(155\) | 929.349 | + | 1165.37i | 0.00310706 | + | 0.00389613i | ||||
\(156\) | −91323.9 | + | 400116.i | −0.300450 | + | 1.31636i | ||||
\(157\) | 15033.6 | 0.0486760 | 0.0243380 | − | 0.999704i | \(-0.492252\pi\) | ||||
0.0243380 | + | 0.999704i | \(0.492252\pi\) | |||||||
\(158\) | −26561.1 | + | 116372.i | −0.0846454 | + | 0.370856i | ||||
\(159\) | −241524. | + | 116312.i | −0.757647 | + | 0.364863i | ||||
\(160\) | 92556.9 | − | 44573.1i | 0.285831 | − | 0.137649i | ||||
\(161\) | −45731.7 | + | 200364.i | −0.139044 | + | 0.609192i | ||||
\(162\) | 788992. | 2.36203 | ||||||||
\(163\) | 40222.7 | − | 176227.i | 0.118578 | − | 0.519522i | −0.880397 | − | 0.474238i | \(-0.842724\pi\) |
0.998974 | − | 0.0452841i | \(-0.0144193\pi\) | |||||||
\(164\) | −77946.7 | − | 97742.1i | −0.226302 | − | 0.283774i | ||||
\(165\) | 13324.1 | + | 58376.5i | 0.0381002 | + | 0.166928i | ||||
\(166\) | −53944.1 | − | 236345.i | −0.151941 | − | 0.665695i | ||||
\(167\) | 144361. | − | 181023.i | 0.400552 | − | 0.502277i | −0.540122 | − | 0.841586i | \(-0.681622\pi\) |
0.940675 | + | 0.339310i | \(0.110194\pi\) | |||||||
\(168\) | −311519. | + | 150020.i | −0.851553 | + | 0.410086i | ||||
\(169\) | −66128.7 | − | 31845.9i | −0.178104 | − | 0.0857703i | ||||
\(170\) | 5137.69 | + | 6442.45i | 0.0136347 | + | 0.0170974i | ||||
\(171\) | 989897. | − | 1.24129e6i | 2.58881 | − | 3.24626i | ||||
\(172\) | −130224. | − | 62712.4i | −0.335636 | − | 0.161634i | ||||
\(173\) | 321242. | 0.816050 | 0.408025 | − | 0.912971i | \(-0.366218\pi\) | ||||
0.408025 | + | 0.912971i | \(0.366218\pi\) | |||||||
\(174\) | −347073. | + | 314575.i | −0.869055 | + | 0.787681i | ||||
\(175\) | 179983. | 0.444259 | ||||||||
\(176\) | −4039.66 | − | 1945.40i | −0.00983022 | − | 0.00473398i | ||||
\(177\) | −559330. | + | 701378.i | −1.34195 | + | 1.68275i | ||||
\(178\) | −153262. | − | 192184.i | −0.362564 | − | 0.454640i | ||||
\(179\) | −672682. | − | 323947.i | −1.56920 | − | 0.755685i | −0.571314 | − | 0.820732i | \(-0.693566\pi\) |
−0.997882 | + | 0.0650466i | \(0.979280\pi\) | |||||||
\(180\) | −216392. | + | 104209.i | −0.497806 | + | 0.239731i | ||||
\(181\) | 257098. | − | 322391.i | 0.583315 | − | 0.731453i | −0.399360 | − | 0.916794i | \(-0.630768\pi\) |
0.982674 | + | 0.185341i | \(0.0593389\pi\) | |||||||
\(182\) | −32386.1 | − | 141893.i | −0.0724736 | − | 0.317527i | ||||
\(183\) | 338761. | + | 1.48421e6i | 0.747765 | + | 3.27617i | ||||
\(184\) | 358575. | + | 449639.i | 0.780793 | + | 0.979083i | ||||
\(185\) | −49360.5 | + | 216262.i | −0.106035 | + | 0.464570i | ||||
\(186\) | −8788.89 | −0.0186274 | ||||||||
\(187\) | 3450.04 | − | 15115.6i | 0.00721473 | − | 0.0316098i | ||||
\(188\) | −300674. | + | 144797.i | −0.620441 | + | 0.298789i | ||||
\(189\) | 750250. | − | 361301.i | 1.52775 | − | 0.735724i | ||||
\(190\) | 31432.6 | − | 137715.i | 0.0631678 | − | 0.276756i | ||||
\(191\) | −75244.3 | −0.149242 | −0.0746208 | − | 0.997212i | \(-0.523775\pi\) | ||||
−0.0746208 | + | 0.997212i | \(0.523775\pi\) | |||||||
\(192\) | −126217. | + | 552991.i | −0.247095 | + | 1.08259i | ||||
\(193\) | 39172.6 | + | 49120.9i | 0.0756988 | + | 0.0949233i | 0.818239 | − | 0.574878i | \(-0.194951\pi\) |
−0.742540 | + | 0.669802i | \(0.766379\pi\) | |||||||
\(194\) | −15687.8 | − | 68732.7i | −0.0299266 | − | 0.131117i | ||||
\(195\) | −78801.2 | − | 345251.i | −0.148404 | − | 0.650202i | ||||
\(196\) | 161295. | − | 202257.i | 0.299902 | − | 0.376065i | ||||
\(197\) | −204326. | + | 98398.3i | −0.375110 | + | 0.180643i | −0.611933 | − | 0.790909i | \(-0.709608\pi\) |
0.236823 | + | 0.971553i | \(0.423894\pi\) | |||||||
\(198\) | −233762. | − | 112574.i | −0.423750 | − | 0.204067i | ||||
\(199\) | −205809. | − | 258076.i | −0.368410 | − | 0.461972i | 0.562726 | − | 0.826643i | \(-0.309753\pi\) |
−0.931136 | + | 0.364672i | \(0.881181\pi\) | |||||||
\(200\) | 314026. | − | 393776.i | 0.555124 | − | 0.696104i | ||||
\(201\) | 988783. | + | 476173.i | 1.72628 | + | 0.831332i | ||||
\(202\) | −361298. | −0.622999 | ||||||||
\(203\) | −108841. | + | 268076.i | −0.185376 | + | 0.456581i | ||||
\(204\) | 84626.3 | 0.142374 | ||||||||
\(205\) | 97191.2 | + | 46804.8i | 0.161526 | + | 0.0777868i | ||||
\(206\) | −194988. | + | 244507.i | −0.320140 | + | 0.401443i | ||||
\(207\) | −1.35098e6 | − | 1.69407e6i | −2.19140 | − | 2.74793i | ||||
\(208\) | 23891.4 | + | 11505.5i | 0.0382898 | + | 0.0184394i | ||||
\(209\) | −239461. | + | 115318.i | −0.379200 | + | 0.182613i | ||||
\(210\) | 72263.8 | − | 90616.0i | 0.113077 | − | 0.141794i | ||||
\(211\) | −131834. | − | 577604.i | −0.203855 | − | 0.893149i | −0.968562 | − | 0.248771i | \(-0.919973\pi\) |
0.764707 | − | 0.644378i | \(-0.222884\pi\) | |||||||
\(212\) | 40054.4 | + | 175490.i | 0.0612083 | + | 0.268171i | ||||
\(213\) | 149850. | + | 187906.i | 0.226312 | + | 0.283786i | ||||
\(214\) | −5148.33 | + | 22556.3i | −0.00768478 | + | 0.0336692i | ||||
\(215\) | 124718. | 0.184006 | ||||||||
\(216\) | 518527. | − | 2.27182e6i | 0.756201 | − | 3.31313i | ||||
\(217\) | −4891.03 | + | 2355.40i | −0.00705101 | + | 0.00339559i | ||||
\(218\) | 255774. | − | 123174.i | 0.364514 | − | 0.175541i | ||||
\(219\) | −327072. | + | 1.43300e6i | −0.460822 | + | 2.01899i | ||||
\(220\) | 40206.4 | 0.0560065 | ||||||||
\(221\) | −20404.2 | + | 89396.8i | −0.0281022 | + | 0.123124i | ||||
\(222\) | −815496. | − | 1.02260e6i | −1.11055 | − | 1.39259i | ||||
\(223\) | −23362.3 | − | 102357.i | −0.0314597 | − | 0.137834i | 0.956759 | − | 0.290881i | \(-0.0939484\pi\) |
−0.988219 | + | 0.153047i | \(0.951091\pi\) | |||||||
\(224\) | 83255.1 | + | 364764.i | 0.110864 | + | 0.485727i | ||||
\(225\) | −1.18313e6 | + | 1.48360e6i | −1.55803 | + | 1.95371i | ||||
\(226\) | 721853. | − | 347626.i | 0.940108 | − | 0.452732i | ||||
\(227\) | 26797.0 | + | 12904.7i | 0.0345161 | + | 0.0166221i | 0.451062 | − | 0.892493i | \(-0.351045\pi\) |
−0.416546 | + | 0.909115i | \(0.636760\pi\) | |||||||
\(228\) | −904494. | − | 1.13420e6i | −1.15231 | − | 1.44495i | ||||
\(229\) | −365743. | + | 458628.i | −0.460880 | + | 0.577925i | −0.956912 | − | 0.290379i | \(-0.906219\pi\) |
0.496032 | + | 0.868304i | \(0.334790\pi\) | |||||||
\(230\) | −173691. | − | 83645.2i | −0.216500 | − | 0.104261i | ||||
\(231\) | −218075. | −0.268891 | ||||||||
\(232\) | 396608. | + | 705854.i | 0.483773 | + | 0.860984i | ||||
\(233\) | 1.04776e6 | 1.26436 | 0.632182 | − | 0.774820i | \(-0.282160\pi\) | ||||
0.632182 | + | 0.774820i | \(0.282160\pi\) | |||||||
\(234\) | 1.38251e6 | + | 665784.i | 1.65055 | + | 0.794865i | ||||
\(235\) | 179541. | − | 225137.i | 0.212077 | − | 0.265936i | ||||
\(236\) | 375576. | + | 470957.i | 0.438952 | + | 0.550429i | ||||
\(237\) | −953017. | − | 458949.i | −1.10212 | − | 0.530754i | ||||
\(238\) | −27038.9 | + | 13021.2i | −0.0309419 | + | 0.0149008i | ||||
\(239\) | −141769. | + | 177773.i | −0.160541 | + | 0.201312i | −0.855596 | − | 0.517645i | \(-0.826809\pi\) |
0.695054 | + | 0.718957i | \(0.255380\pi\) | |||||||
\(240\) | 4699.01 | + | 20587.7i | 0.00526597 | + | 0.0230717i | ||||
\(241\) | −182336. | − | 798867.i | −0.202223 | − | 0.885996i | −0.969580 | − | 0.244776i | \(-0.921286\pi\) |
0.767357 | − | 0.641220i | \(-0.221572\pi\) | |||||||
\(242\) | −315967. | − | 396211.i | −0.346820 | − | 0.434898i | ||||
\(243\) | −851002. | + | 3.72849e6i | −0.924517 | + | 4.05058i | ||||
\(244\) | 1.02224e6 | 1.09920 | ||||||||
\(245\) | −49671.8 | + | 217626.i | −0.0528682 | + | 0.231631i | ||||
\(246\) | −573074. | + | 275978.i | −0.603772 | + | 0.290762i | ||||
\(247\) | 1.41622e6 | − | 682015.i | 1.47703 | − | 0.711298i | ||||
\(248\) | −3380.38 | + | 14810.4i | −0.00349009 | + | 0.0152911i | ||||
\(249\) | 2.14827e6 | 2.19579 | ||||||||
\(250\) | −79239.9 | + | 347173.i | −0.0801851 | + | 0.351314i | ||||
\(251\) | 620281. | + | 777808.i | 0.621447 | + | 0.779270i | 0.988547 | − | 0.150912i | \(-0.0482209\pi\) |
−0.367100 | + | 0.930181i | \(0.619649\pi\) | |||||||
\(252\) | −194645. | − | 852795.i | −0.193082 | − | 0.845947i | ||||
\(253\) | 80714.9 | + | 353635.i | 0.0792779 | + | 0.347339i | ||||
\(254\) | 2487.96 | − | 3119.80i | 0.00241968 | − | 0.00303419i | ||||
\(255\) | −65790.6 | + | 31683.1i | −0.0633597 | + | 0.0305124i | ||||
\(256\) | 920004. | + | 443050.i | 0.877384 | + | 0.422526i | ||||
\(257\) | −81684.2 | − | 102429.i | −0.0771445 | − | 0.0967362i | 0.741762 | − | 0.670664i | \(-0.233991\pi\) |
−0.818906 | + | 0.573927i | \(0.805419\pi\) | |||||||
\(258\) | −458503. | + | 574944.i | −0.428838 | + | 0.537745i | ||||
\(259\) | −727879. | − | 350528.i | −0.674232 | − | 0.324693i | ||||
\(260\) | −237789. | −0.218151 | ||||||||
\(261\) | −1.49427e6 | − | 2.65940e6i | −1.35778 | − | 2.41647i | ||||
\(262\) | −312607. | −0.281349 | ||||||||
\(263\) | 234032. | + | 112704.i | 0.208635 | + | 0.100473i | 0.535283 | − | 0.844673i | \(-0.320205\pi\) |
−0.326648 | + | 0.945146i | \(0.605919\pi\) | |||||||
\(264\) | −380488. | + | 477116.i | −0.335993 | + | 0.421322i | ||||
\(265\) | −96840.5 | − | 121434.i | −0.0847115 | − | 0.106225i | ||||
\(266\) | 463511. | + | 223215.i | 0.401657 | + | 0.193428i | ||||
\(267\) | 1.96259e6 | − | 945135.i | 1.68481 | − | 0.811364i | ||||
\(268\) | 459462. | − | 576147.i | 0.390762 | − | 0.490001i | ||||
\(269\) | −301477. | − | 1.32086e6i | −0.254023 | − | 1.11295i | −0.927524 | − | 0.373763i | \(-0.878068\pi\) |
0.673501 | − | 0.739186i | \(-0.264790\pi\) | |||||||
\(270\) | 173815. | + | 761535.i | 0.145104 | + | 0.635741i | ||||
\(271\) | −390139. | − | 489218.i | −0.322698 | − | 0.404650i | 0.593850 | − | 0.804576i | \(-0.297607\pi\) |
−0.916547 | + | 0.399926i | \(0.869036\pi\) | |||||||
\(272\) | 1216.73 | − | 5330.84i | 0.000997176 | − | 0.00436891i | ||||
\(273\) | 1.28974e6 | 1.04736 | ||||||||
\(274\) | 108892. | − | 477089.i | 0.0876236 | − | 0.383904i | ||||
\(275\) | 286205. | − | 137829.i | 0.228216 | − | 0.109903i | ||||
\(276\) | −1.78379e6 | + | 859029.i | −1.40952 | + | 0.678790i | ||||
\(277\) | −101165. | + | 443231.i | −0.0792190 | + | 0.347081i | −0.998968 | − | 0.0454268i | \(-0.985535\pi\) |
0.919749 | + | 0.392508i | \(0.128392\pi\) | |||||||
\(278\) | 111026. | 0.0861610 | ||||||||
\(279\) | 12736.0 | − | 55800.2i | 0.00979543 | − | 0.0429166i | ||||
\(280\) | −124906. | − | 156627.i | −0.0952110 | − | 0.119391i | ||||
\(281\) | 149532. | + | 655143.i | 0.112971 | + | 0.494960i | 0.999480 | + | 0.0322478i | \(0.0102666\pi\) |
−0.886508 | + | 0.462712i | \(0.846876\pi\) | |||||||
\(282\) | 377824. | + | 1.65535e6i | 0.282922 | + | 1.23956i | ||||
\(283\) | −973752. | + | 1.22105e6i | −0.722741 | + | 0.906288i | −0.998490 | − | 0.0549417i | \(-0.982503\pi\) |
0.275749 | + | 0.961230i | \(0.411074\pi\) | |||||||
\(284\) | 145400. | − | 70021.1i | 0.106972 | − | 0.0515149i | ||||
\(285\) | 1.12781e6 | + | 543123.i | 0.822475 | + | 0.396083i | ||||
\(286\) | −160160. | − | 200834.i | −0.115781 | − | 0.145185i | ||||
\(287\) | −244956. | + | 307165.i | −0.175543 | + | 0.220124i | ||||
\(288\) | −3.55404e6 | − | 1.71154e6i | −2.52488 | − | 1.21592i | ||||
\(289\) | −1.40095e6 | −0.986683 | ||||||||
\(290\) | −222442. | − | 155494.i | −0.155318 | − | 0.108572i | ||||
\(291\) | 624751. | 0.432488 | ||||||||
\(292\) | 889224. | + | 428228.i | 0.610315 | + | 0.293912i | ||||
\(293\) | −403720. | + | 506249.i | −0.274733 | + | 0.344504i | −0.899987 | − | 0.435917i | \(-0.856424\pi\) |
0.625254 | + | 0.780422i | \(0.284996\pi\) | |||||||
\(294\) | −820640. | − | 1.02905e6i | −0.553712 | − | 0.694333i | ||||
\(295\) | −468302. | − | 225523.i | −0.313308 | − | 0.150881i | ||||
\(296\) | −2.03687e6 | + | 980905.i | −1.35125 | + | 0.650725i | ||||
\(297\) | 916351. | − | 1.14907e6i | 0.602796 | − | 0.755883i | ||||
\(298\) | 218385. | + | 956808.i | 0.142457 | + | 0.624143i | ||||
\(299\) | −477364. | − | 2.09147e6i | −0.308796 | − | 1.35292i | ||||
\(300\) | 1.08106e6 | + | 1.35560e6i | 0.693499 | + | 0.869620i | ||||
\(301\) | −101074. | + | 442835.i | −0.0643019 | + | 0.281725i | ||||
\(302\) | 1.25739e6 | 0.793326 | ||||||||
\(303\) | 712447. | − | 3.12143e6i | 0.445806 | − | 1.95320i | ||||
\(304\) | −84450.8 | + | 40669.4i | −0.0524107 | + | 0.0252397i | ||||
\(305\) | −794712. | + | 382713.i | −0.489170 | + | 0.235572i | ||||
\(306\) | 70408.1 | − | 308478.i | 0.0429852 | − | 0.188330i | ||||
\(307\) | 402536. | 0.243758 | 0.121879 | − | 0.992545i | \(-0.461108\pi\) | ||||
0.121879 | + | 0.992545i | \(0.461108\pi\) | |||||||
\(308\) | −32584.2 | + | 142761.i | −0.0195718 | + | 0.0857495i | ||||
\(309\) | −1.72792e6 | − | 2.16674e6i | −1.02950 | − | 1.29096i | ||||
\(310\) | −1133.14 | − | 4964.60i | −0.000669697 | − | 0.00293413i | ||||
\(311\) | −482992. | − | 2.11613e6i | −0.283165 | − | 1.24063i | −0.893710 | − | 0.448645i | \(-0.851907\pi\) |
0.610546 | − | 0.791981i | \(-0.290950\pi\) | |||||||
\(312\) | 2.25028e6 | − | 2.82176e6i | 1.30873 | − | 1.64110i | ||||
\(313\) | −2.69073e6 | + | 1.29578e6i | −1.55242 | + | 0.747605i | −0.996497 | − | 0.0836306i | \(-0.973348\pi\) |
−0.555921 | + | 0.831235i | \(0.687634\pi\) | |||||||
\(314\) | −46273.9 | − | 22284.3i | −0.0264857 | − | 0.0127549i | ||||
\(315\) | 470598. | + | 590111.i | 0.267223 | + | 0.335087i | ||||
\(316\) | −442843. | + | 555307.i | −0.249478 | + | 0.312835i | ||||
\(317\) | 1.20082e6 | + | 578284.i | 0.671165 | + | 0.323216i | 0.738246 | − | 0.674531i | \(-0.235654\pi\) |
−0.0670810 | + | 0.997748i | \(0.521369\pi\) | |||||||
\(318\) | 915823. | 0.507860 | ||||||||
\(319\) | 32212.4 | + | 509638.i | 0.0177234 | + | 0.280405i | ||||
\(320\) | −328642. | −0.179411 | ||||||||
\(321\) | −184723. | − | 88957.9i | −0.100059 | − | 0.0481861i | ||||
\(322\) | 437762. | − | 548936.i | 0.235287 | − | 0.295041i | ||||
\(323\) | −202089. | − | 253411.i | −0.107779 | − | 0.135151i | ||||
\(324\) | 4.22987e6 | + | 2.03700e6i | 2.23854 | + | 1.07802i | ||||
\(325\) | −1.69267e6 | + | 815149.i | −0.888925 | + | 0.428084i | ||||
\(326\) | −385028. | + | 482809.i | −0.200654 | + | 0.251612i | ||||
\(327\) | 559800. | + | 2.45264e6i | 0.289510 | + | 1.26843i | ||||
\(328\) | 244643. | + | 1.07185e6i | 0.125559 | + | 0.550111i | ||||
\(329\) | 653890. | + | 819952.i | 0.333054 | + | 0.417637i | ||||
\(330\) | 45519.6 | − | 199434.i | 0.0230099 | − | 0.100813i | ||||
\(331\) | −2.29259e6 | −1.15015 | −0.575077 | − | 0.818099i | \(-0.695028\pi\) | ||||
−0.575077 | + | 0.818099i | \(0.695028\pi\) | |||||||
\(332\) | 320988. | − | 1.40634e6i | 0.159825 | − | 0.700237i | ||||
\(333\) | 7.67417e6 | − | 3.69569e6i | 3.79246 | − | 1.82635i | ||||
\(334\) | −712677. | + | 343207.i | −0.349564 | + | 0.168341i | ||||
\(335\) | −141495. | + | 619928.i | −0.0688855 | + | 0.301807i | ||||
\(336\) | −76908.9 | −0.0371645 | ||||||||
\(337\) | 515357. | − | 2.25793e6i | 0.247192 | − | 1.08302i | −0.687116 | − | 0.726548i | \(-0.741123\pi\) |
0.934307 | − | 0.356469i | \(-0.116019\pi\) | |||||||
\(338\) | 156341. | + | 196045.i | 0.0744355 | + | 0.0933392i | ||||
\(339\) | 1.57989e6 | + | 6.92193e6i | 0.746666 | + | 3.27136i | ||||
\(340\) | 10910.7 | + | 47803.0i | 0.00511866 | + | 0.0224263i | ||||
\(341\) | −5973.87 | + | 7491.00i | −0.00278208 | + | 0.00348862i | ||||
\(342\) | −4.88689e6 | + | 2.35340e6i | −2.25926 | + | 1.08800i | ||||
\(343\) | −1.69985e6 | − | 818604.i | −0.780144 | − | 0.375698i | ||||
\(344\) | 792507. | + | 993773.i | 0.361083 | + | 0.452784i | ||||
\(345\) | 1.06515e6 | − | 1.33566e6i | 0.481798 | − | 0.604156i | ||||
\(346\) | −988790. | − | 476176.i | −0.444031 | − | 0.213834i | ||||
\(347\) | 3.17867e6 | 1.41717 | 0.708584 | − | 0.705627i | \(-0.249334\pi\) | ||||
0.708584 | + | 0.705627i | \(0.249334\pi\) | |||||||
\(348\) | −2.67285e6 | + | 790406.i | −1.18312 | + | 0.349866i | ||||
\(349\) | −1.85868e6 | −0.816847 | −0.408424 | − | 0.912792i | \(-0.633921\pi\) | ||||
−0.408424 | + | 0.912792i | \(0.633921\pi\) | |||||||
\(350\) | −553992. | − | 266788.i | −0.241731 | − | 0.116412i | ||||
\(351\) | −5.41948e6 | + | 6.79582e6i | −2.34796 | + | 2.94424i | ||||
\(352\) | 411723. | + | 516285.i | 0.177112 | + | 0.222092i | ||||
\(353\) | −1.63959e6 | − | 789585.i | −0.700323 | − | 0.337258i | 0.0496125 | − | 0.998769i | \(-0.484201\pi\) |
−0.749936 | + | 0.661511i | \(0.769916\pi\) | |||||||
\(354\) | 2.76128e6 | − | 1.32976e6i | 1.17112 | − | 0.563983i | ||||
\(355\) | −86822.8 | + | 108872.i | −0.0365648 | + | 0.0458508i | ||||
\(356\) | −325477. | − | 1.42601e6i | −0.136112 | − | 0.596344i | ||||
\(357\) | −59178.7 | − | 259279.i | −0.0245751 | − | 0.107671i | ||||
\(358\) | 1.59035e6 | + | 1.99423e6i | 0.655819 | + | 0.822371i | ||||
\(359\) | 819671. | − | 3.59121e6i | 0.335663 | − | 1.47063i | −0.472319 | − | 0.881428i | \(-0.656583\pi\) |
0.807982 | − | 0.589207i | \(-0.200560\pi\) | |||||||
\(360\) | 2.11215e6 | 0.858952 | ||||||||
\(361\) | −685402. | + | 3.00294e6i | −0.276807 | + | 1.21277i | ||||
\(362\) | −1.26923e6 | + | 611231.i | −0.509062 | + | 0.245151i | ||||
\(363\) | 4.04612e6 | − | 1.94851e6i | 1.61165 | − | 0.776132i | ||||
\(364\) | 192709. | − | 844315.i | 0.0762342 | − | 0.334004i | ||||
\(365\) | −851628. | −0.334594 | ||||||||
\(366\) | 1.15732e6 | − | 5.07057e6i | 0.451598 | − | 1.97858i | ||||
\(367\) | 1.93243e6 | + | 2.42319e6i | 0.748924 | + | 0.939121i | 0.999581 | − | 0.0289547i | \(-0.00921787\pi\) |
−0.250656 | + | 0.968076i | \(0.580646\pi\) | |||||||
\(368\) | 28465.8 | + | 124717.i | 0.0109573 | + | 0.0480071i | ||||
\(369\) | −921725. | − | 4.03834e6i | −0.352400 | − | 1.54396i | ||||
\(370\) | 472498. | − | 592493.i | 0.179430 | − | 0.224998i | ||||
\(371\) | 509657. | − | 245438.i | 0.192240 | − | 0.0925778i | ||||
\(372\) | −47118.2 | − | 22690.9i | −0.0176535 | − | 0.00850148i | ||||
\(373\) | 2.26485e6 | + | 2.84004e6i | 0.842884 | + | 1.05694i | 0.997618 | + | 0.0689873i | \(0.0219768\pi\) |
−0.154733 | + | 0.987956i | \(0.549452\pi\) | |||||||
\(374\) | −33025.1 | + | 41412.2i | −0.0122086 | + | 0.0153091i | ||||
\(375\) | −2.84314e6 | − | 1.36918e6i | −1.04405 | − | 0.502787i | ||||
\(376\) | 2.93481e6 | 1.07056 | ||||||||
\(377\) | −190511. | − | 3.01410e6i | −0.0690345 | − | 1.09221i | ||||
\(378\) | −2.84484e6 | −1.02407 | ||||||||
\(379\) | −3.10953e6 | − | 1.49747e6i | −1.11198 | − | 0.535502i | −0.214575 | − | 0.976708i | \(-0.568837\pi\) |
−0.897406 | + | 0.441206i | \(0.854551\pi\) | |||||||
\(380\) | 524063. | − | 657154.i | 0.186176 | − | 0.233458i | ||||
\(381\) | 22047.5 | + | 27646.6i | 0.00778119 | + | 0.00975731i | ||||
\(382\) | 231604. | + | 111534.i | 0.0812058 | + | 0.0391066i | ||||
\(383\) | 597730. | − | 287852.i | 0.208213 | − | 0.100270i | −0.326871 | − | 0.945069i | \(-0.605994\pi\) |
0.535084 | + | 0.844799i | \(0.320280\pi\) | |||||||
\(384\) | −2.32934e6 | + | 2.92090e6i | −0.806130 | + | 1.01085i | ||||
\(385\) | −28116.1 | − | 123185.i | −0.00966726 | − | 0.0423550i | ||||
\(386\) | −47762.4 | − | 209261.i | −0.0163162 | − | 0.0714857i | ||||
\(387\) | −2.98587e6 | − | 3.74417e6i | −1.01343 | − | 1.27080i | ||||
\(388\) | 93348.4 | − | 408986.i | 0.0314795 | − | 0.137921i | ||||
\(389\) | 2.91928e6 | 0.978142 | 0.489071 | − | 0.872244i | \(-0.337336\pi\) | ||||
0.489071 | + | 0.872244i | \(0.337336\pi\) | |||||||
\(390\) | −269212. | + | 1.17950e6i | −0.0896259 | + | 0.392677i | ||||
\(391\) | −398548. | + | 191931.i | −0.131837 | + | 0.0634896i | ||||
\(392\) | −2.04972e6 | + | 987092.i | −0.673719 | + | 0.324446i | ||||
\(393\) | 616431. | − | 2.70076e6i | 0.201328 | − | 0.882074i | ||||
\(394\) | 774776. | 0.251441 | ||||||||
\(395\) | 136377. | − | 597505.i | 0.0439792 | − | 0.192685i | ||||
\(396\) | −962582. | − | 1.20704e6i | −0.308461 | − | 0.386797i | ||||
\(397\) | 1.19758e6 | + | 5.24695e6i | 0.381355 | + | 1.67082i | 0.693242 | + | 0.720705i | \(0.256182\pi\) |
−0.311887 | + | 0.950119i | \(0.600961\pi\) | |||||||
\(398\) | 250939. | + | 1.09943e6i | 0.0794072 | + | 0.347906i | ||||
\(399\) | −2.84247e6 | + | 3.56434e6i | −0.893846 | + | 1.12085i | ||||
\(400\) | 100936. | − | 48608.3i | 0.0315426 | − | 0.0151901i | ||||
\(401\) | 5.36333e6 | + | 2.58284e6i | 1.66561 | + | 0.802116i | 0.998358 | + | 0.0572845i | \(0.0182442\pi\) |
0.667253 | + | 0.744831i | \(0.267470\pi\) | |||||||
\(402\) | −2.33767e6 | − | 2.93134e6i | −0.721469 | − | 0.904693i | ||||
\(403\) | 35330.7 | − | 44303.3i | 0.0108365 | − | 0.0135886i | ||||
\(404\) | −1.93696e6 | − | 932790.i | −0.590428 | − | 0.284335i | ||||
\(405\) | −4.05104e6 | −1.22724 | ||||||||
\(406\) | 732384. | − | 663808.i | 0.220508 | − | 0.199861i | ||||
\(407\) | −1.42589e6 | −0.426677 | ||||||||
\(408\) | −670516. | − | 322903.i | −0.199415 | − | 0.0960334i | ||||
\(409\) | 2.36776e6 | − | 2.96907e6i | 0.699888 | − | 0.877632i | −0.297127 | − | 0.954838i | \(-0.596028\pi\) |
0.997015 | + | 0.0772059i | \(0.0245999\pi\) | |||||||
\(410\) | −229778. | − | 288132.i | −0.0675070 | − | 0.0846511i | ||||
\(411\) | 3.90708e6 | + | 1.88155e6i | 1.14090 | + | 0.549429i | ||||
\(412\) | −1.67662e6 | + | 807415.i | −0.486620 | + | 0.234344i | ||||
\(413\) | 1.18028e6 | − | 1.48003e6i | 0.340496 | − | 0.426968i | ||||
\(414\) | 1.64722e6 | + | 7.21695e6i | 0.472336 | + | 2.06944i | ||||
\(415\) | 276973. | + | 1.21350e6i | 0.0789437 | + | 0.345875i | ||||
\(416\) | −2.43502e6 | − | 3.05341e6i | −0.689872 | − | 0.865072i | ||||
\(417\) | −218932. | + | 959204.i | −0.0616551 | + | 0.270129i | ||||
\(418\) | 908001. | 0.254182 | ||||||||
\(419\) | 417796. | − | 1.83048e6i | 0.116260 | − | 0.509367i | −0.882944 | − | 0.469478i | \(-0.844442\pi\) |
0.999204 | − | 0.0398894i | \(-0.0127006\pi\) | |||||||
\(420\) | 621364. | − | 299233.i | 0.171879 | − | 0.0827726i | ||||
\(421\) | 935712. | − | 450615.i | 0.257298 | − | 0.123908i | −0.300789 | − | 0.953691i | \(-0.597250\pi\) |
0.558087 | + | 0.829783i | \(0.311536\pi\) | |||||||
\(422\) | −450392. | + | 1.97330e6i | −0.123115 | + | 0.539400i | ||||
\(423\) | −1.10573e7 | −3.00467 | ||||||||
\(424\) | 352244. | − | 1.54328e6i | 0.0951545 | − | 0.416899i | ||||
\(425\) | 241538. | + | 302879.i | 0.0648653 | + | 0.0813385i | ||||
\(426\) | −182709. | − | 800499.i | −0.0487793 | − | 0.213716i | ||||
\(427\) | −714845. | − | 3.13194e6i | −0.189733 | − | 0.831273i | ||||
\(428\) | −85836.0 | + | 107635.i | −0.0226496 | + | 0.0284017i | ||||
\(429\) | 2.05092e6 | − | 987671.i | 0.538029 | − | 0.259101i | ||||
\(430\) | −383884. | − | 184869.i | −0.100122 | − | 0.0482162i | ||||
\(431\) | 95671.4 | + | 119968.i | 0.0248078 | + | 0.0311080i | 0.794081 | − | 0.607812i | \(-0.207953\pi\) |
−0.769273 | + | 0.638920i | \(0.779381\pi\) | |||||||
\(432\) | 323170. | − | 405243.i | 0.0833148 | − | 0.104473i | ||||
\(433\) | −851412. | − | 410019.i | −0.218233 | − | 0.105095i | 0.321574 | − | 0.946885i | \(-0.395788\pi\) |
−0.539806 | + | 0.841789i | \(0.681503\pi\) | |||||||
\(434\) | 18546.1 | 0.00472638 | ||||||||
\(435\) | 1.78202e6 | − | 1.61517e6i | 0.451534 | − | 0.409255i | ||||
\(436\) | 1.68924e6 | 0.425574 | ||||||||
\(437\) | 6.83206e6 | + | 3.29015e6i | 1.71139 | + | 0.824160i | ||||
\(438\) | 3.13086e6 | − | 3.92597e6i | 0.779791 | − | 0.977827i | ||||
\(439\) | −1.72391e6 | − | 2.16171e6i | −0.426926 | − | 0.535349i | 0.521119 | − | 0.853484i | \(-0.325515\pi\) |
−0.948045 | + | 0.318135i | \(0.896943\pi\) | |||||||
\(440\) | −318565. | − | 153413.i | −0.0784453 | − | 0.0377773i | ||||
\(441\) | 7.72257e6 | − | 3.71900e6i | 1.89089 | − | 0.910603i | ||||
\(442\) | 195317. | − | 244920.i | 0.0475538 | − | 0.0596306i | ||||
\(443\) | 496054. | + | 2.17336e6i | 0.120094 | + | 0.526164i | 0.998808 | + | 0.0488161i | \(0.0155448\pi\) |
−0.878714 | + | 0.477348i | \(0.841598\pi\) | |||||||
\(444\) | −1.73184e6 | − | 7.58770e6i | −0.416918 | − | 1.82664i | ||||
\(445\) | 786915. | + | 986760.i | 0.188377 | + | 0.236217i | ||||
\(446\) | −79813.9 | + | 349687.i | −0.0189995 | + | 0.0832421i | ||||
\(447\) | −8.69697e6 | −2.05873 | ||||||||
\(448\) | 266339. | − | 1.16691e6i | 0.0626960 | − | 0.274689i | ||||
\(449\) | −4.40090e6 | + | 2.11936e6i | −1.03021 | + | 0.496123i | −0.871084 | − | 0.491135i | \(-0.836582\pi\) |
−0.159127 | + | 0.987258i | \(0.550868\pi\) | |||||||
\(450\) | 5.84084e6 | − | 2.81280e6i | 1.35970 | − | 0.654799i | ||||
\(451\) | −154300. | + | 676031.i | −0.0357210 | + | 0.156504i | ||||
\(452\) | 4.76743e6 | 1.09758 | ||||||||
\(453\) | −2.47945e6 | + | 1.08632e7i | −0.567689 | + | 2.48721i | ||||
\(454\) | −63353.0 | − | 79442.2i | −0.0144254 | − | 0.0180889i | ||||
\(455\) | 166284. | + | 728540.i | 0.0376550 | + | 0.164978i | ||||
\(456\) | 2.83884e6 | + | 1.24378e7i | 0.639336 | + | 2.80111i | ||||
\(457\) | −4.71992e6 | + | 5.91859e6i | −1.05717 | + | 1.32565i | −0.113945 | + | 0.993487i | \(0.536349\pi\) |
−0.943223 | + | 0.332160i | \(0.892223\pi\) | |||||||
\(458\) | 1.80559e6 | − | 869526.i | 0.402212 | − | 0.193695i | ||||
\(459\) | 1.61484e6 | + | 777667.i | 0.357765 | + | 0.172291i | ||||
\(460\) | −715224. | − | 896862.i | −0.157597 | − | 0.197620i | ||||
\(461\) | −4.38220e6 | + | 5.49510e6i | −0.960372 | + | 1.20427i | 0.0185069 | + | 0.999829i | \(0.494109\pi\) |
−0.978879 | + | 0.204440i | \(0.934463\pi\) | |||||||
\(462\) | 671241. | + | 323253.i | 0.146310 | + | 0.0704591i | ||||
\(463\) | 2.40320e6 | 0.521000 | 0.260500 | − | 0.965474i | \(-0.416113\pi\) | ||||
0.260500 | + | 0.965474i | \(0.416113\pi\) | |||||||
\(464\) | 11360.4 | + | 179735.i | 0.00244962 | + | 0.0387558i | ||||
\(465\) | 45126.1 | 0.00967821 | ||||||||
\(466\) | −3.22503e6 | − | 1.55309e6i | −0.687969 | − | 0.331308i | ||||
\(467\) | 73904.0 | − | 92672.7i | 0.0156811 | − | 0.0196634i | −0.773929 | − | 0.633272i | \(-0.781711\pi\) |
0.789610 | + | 0.613609i | \(0.210283\pi\) | |||||||
\(468\) | 5.69290e6 | + | 7.13868e6i | 1.20149 | + | 1.50662i | ||||
\(469\) | −2.08651e6 | − | 1.00481e6i | −0.438014 | − | 0.210936i | ||||
\(470\) | −886351. | + | 426844.i | −0.185081 | + | 0.0891302i | ||||
\(471\) | 283773. | − | 355840.i | 0.0589412 | − | 0.0739100i | ||||
\(472\) | −1.17878e6 | − | 5.16457e6i | −0.243544 | − | 1.06704i | ||||
\(473\) | 178392. | + | 781588.i | 0.0366626 | + | 0.160629i | ||||
\(474\) | 2.25311e6 | + | 2.82531e6i | 0.460613 | + | 0.577591i | ||||
\(475\) | 1.47774e6 | − | 6.47439e6i | 0.300513 | − | 1.31663i | ||||
\(476\) | −178576. | −0.0361249 | ||||||||
\(477\) | −1.32712e6 | + | 5.81451e6i | −0.267064 | + | 1.17008i | ||||
\(478\) | 699880. | − | 337045.i | 0.140105 | − | 0.0674711i | ||||
\(479\) | −1.98350e6 | + | 955202.i | −0.394996 | + | 0.190220i | −0.620829 | − | 0.783946i | \(-0.713204\pi\) |
0.225833 | + | 0.974166i | \(0.427490\pi\) | |||||||
\(480\) | 692066. | − | 3.03214e6i | 0.137102 | − | 0.600684i | ||||
\(481\) | 8.43299e6 | 1.66195 | ||||||||
\(482\) | −622924. | + | 2.72921e6i | −0.122129 | + | 0.535080i | ||||
\(483\) | 3.87930e6 | + | 4.86449e6i | 0.756634 | + | 0.948789i | ||||
\(484\) | −671010. | − | 2.93988e6i | −0.130201 | − | 0.570449i | ||||
\(485\) | 80548.1 | + | 352904.i | 0.0155489 | + | 0.0681244i | ||||
\(486\) | 8.14613e6 | − | 1.02149e7i | 1.56445 | − | 1.96175i | ||||
\(487\) | 6.08135e6 | − | 2.92862e6i | 1.16192 | − | 0.559553i | 0.249329 | − | 0.968419i | \(-0.419790\pi\) |
0.912595 | + | 0.408866i | \(0.134076\pi\) | |||||||
\(488\) | −8.09944e6 | − | 3.90049e6i | −1.53959 | − | 0.741428i | ||||
\(489\) | −3.41199e6 | − | 4.27850e6i | −0.645261 | − | 0.809132i | ||||
\(490\) | 475478. | − | 596230.i | 0.0894623 | − | 0.112182i | ||||
\(491\) | 1.89106e6 | + | 910688.i | 0.353999 | + | 0.170477i | 0.602428 | − | 0.798173i | \(-0.294200\pi\) |
−0.248429 | + | 0.968650i | \(0.579914\pi\) | |||||||
\(492\) | −3.78483e6 | −0.704910 | ||||||||
\(493\) | −597188. | + | 176598.i | −0.110661 | + | 0.0327242i | ||||
\(494\) | −5.37010e6 | −0.990068 | ||||||||
\(495\) | 1.20024e6 | + | 578003.i | 0.220168 | + | 0.106027i | ||||
\(496\) | −2106.81 | + | 2641.86i | −0.000384523 | + | 0.000482176i | ||||
\(497\) | −316209. | − | 396514.i | −0.0574227 | − | 0.0720058i | ||||
\(498\) | −6.61242e6 | − | 3.18438e6i | −1.19478 | − | 0.575375i | ||||
\(499\) | −7.12210e6 | + | 3.42982e6i | −1.28043 | + | 0.616624i | −0.945501 | − | 0.325619i | \(-0.894427\pi\) |
−0.334932 | + | 0.942242i | \(0.608713\pi\) | |||||||
\(500\) | −1.32113e6 | + | 1.65665e6i | −0.236332 | + | 0.296351i | ||||
\(501\) | −1.55980e6 | − | 6.83394e6i | −0.277636 | − | 1.21640i | ||||
\(502\) | −756296. | − | 3.31355e6i | −0.133947 | − | 0.586860i | ||||
\(503\) | 999618. | + | 1.25348e6i | 0.176163 | + | 0.220901i | 0.862072 | − | 0.506786i | \(-0.169167\pi\) |
−0.685909 | + | 0.727687i | \(0.740595\pi\) | |||||||
\(504\) | −1.71174e6 | + | 7.49961e6i | −0.300165 | + | 1.31511i | ||||
\(505\) | 1.85507e6 | 0.323691 | ||||||||
\(506\) | 275750. | − | 1.20814e6i | 0.0478784 | − | 0.209769i | ||||
\(507\) | −2.00202e6 | + | 964121.i | −0.345898 | + | 0.166576i | ||||
\(508\) | 21392.8 | − | 10302.2i | 0.00367798 | − | 0.00177122i | ||||
\(509\) | −647097. | + | 2.83512e6i | −0.110707 | + | 0.485039i | 0.888929 | + | 0.458046i | \(0.151450\pi\) |
−0.999636 | + | 0.0269933i | \(0.991407\pi\) | |||||||
\(510\) | 249469. | 0.0424708 | ||||||||
\(511\) | 690179. | − | 3.02387e6i | 0.116926 | − | 0.512284i | ||||
\(512\) | 287038. | + | 359934.i | 0.0483909 | + | 0.0606803i | ||||
\(513\) | −6.83695e6 | − | 2.99546e7i | −1.14701 | − | 5.02540i | ||||
\(514\) | 99595.9 | + | 436358.i | 0.0166278 | + | 0.0728510i | ||||
\(515\) | 1.00116e6 | − | 1.25541e6i | 0.166335 | − | 0.208577i | ||||
\(516\) | −3.94246e6 | + | 1.89859e6i | −0.651843 | + | 0.313911i | ||||
\(517\) | 1.66771e6 | + | 803128.i | 0.274407 | + | 0.132147i | ||||
\(518\) | 1.72084e6 | + | 2.15787e6i | 0.281784 | + | 0.353346i | ||||
\(519\) | 6.06372e6 | − | 7.60367e6i | 0.988145 | − | 1.23910i | ||||
\(520\) | 1.88406e6 | + | 907316.i | 0.305553 | + | 0.147147i | ||||
\(521\) | −6.58551e6 | −1.06291 | −0.531453 | − | 0.847088i | \(-0.678354\pi\) | ||||
−0.531453 | + | 0.847088i | \(0.678354\pi\) | |||||||
\(522\) | 657387. | + | 1.04006e7i | 0.105595 | + | 1.67064i | ||||
\(523\) | 5.05360e6 | 0.807880 | 0.403940 | − | 0.914785i | \(-0.367640\pi\) | ||||
0.403940 | + | 0.914785i | \(0.367640\pi\) | |||||||
\(524\) | −1.67592e6 | − | 807080.i | −0.266640 | − | 0.128407i | ||||
\(525\) | 3.39734e6 | − | 4.26012e6i | 0.537948 | − | 0.674565i | ||||
\(526\) | −553296. | − | 693811.i | −0.0871953 | − | 0.109339i | ||||
\(527\) | −10527.5 | − | 5069.77i | −0.00165119 | − | 0.000795173i | ||||
\(528\) | −122299. | + | 58896.0i | −0.0190914 | + | 0.00919393i | ||||
\(529\) | 2.43953e6 | − | 3.05907e6i | 0.379024 | − | 0.475281i | ||||
\(530\) | 118076. | + | 517323.i | 0.0182587 | + | 0.0799967i | ||||
\(531\) | 4.44120e6 | + | 1.94582e7i | 0.683541 | + | 2.99479i | ||||
\(532\) | 1.90864e6 | + | 2.39336e6i | 0.292378 | + | 0.366631i | ||||
\(533\) | 912560. | − | 3.99819e6i | 0.139137 | − | 0.609600i | ||||
\(534\) | −7.44188e6 | −1.12935 | ||||||||
\(535\) | 26433.8 | − | 115814.i | 0.00399278 | − | 0.0174935i | ||||
\(536\) | −5.83881e6 | + | 2.81182e6i | −0.877834 | + | 0.422742i | ||||
\(537\) | −2.03651e7 | + | 9.80734e6i | −3.04756 | + | 1.46763i | ||||
\(538\) | −1.02995e6 | + | 4.51251e6i | −0.153412 | + | 0.672144i | ||||
\(539\) | −1.43488e6 | −0.212738 | ||||||||
\(540\) | −1.03427e6 | + | 4.53142e6i | −0.152633 | + | 0.668729i | ||||
\(541\) | −7.60396e6 | − | 9.53506e6i | −1.11698 | − | 1.40065i | −0.906060 | − | 0.423150i | \(-0.860924\pi\) |
−0.210924 | − | 0.977503i | \(-0.567647\pi\) | |||||||
\(542\) | 475688. | + | 2.08413e6i | 0.0695543 | + | 0.304737i | ||||
\(543\) | −2.77791e6 | − | 1.21708e7i | −0.404314 | − | 1.77142i | ||||
\(544\) | −502104. | + | 629618.i | −0.0727439 | + | 0.0912179i | ||||
\(545\) | −1.31326e6 | + | 632431.i | −0.189390 | + | 0.0912056i | ||||
\(546\) | −3.96986e6 | − | 1.91178e6i | −0.569893 | − | 0.274446i | ||||
\(547\) | −1.12638e6 | − | 1.41244e6i | −0.160959 | − | 0.201837i | 0.694811 | − | 0.719192i | \(-0.255488\pi\) |
−0.855771 | + | 0.517355i | \(0.826917\pi\) | |||||||
\(548\) | 1.81552e6 | − | 2.27659e6i | 0.258255 | − | 0.323842i | ||||
\(549\) | 3.05157e7 | + | 1.46956e7i | 4.32108 | + | 2.08092i | ||||
\(550\) | −1.08525e6 | −0.152976 | ||||||||
\(551\) | 8.74966e6 | + | 6.11629e6i | 1.22776 | + | 0.858240i | ||||
\(552\) | 1.74112e7 | 2.43210 | ||||||||
\(553\) | 2.01103e6 | + | 968463.i | 0.279645 | + | 0.134670i | ||||
\(554\) | 968387. | − | 1.21432e6i | 0.134052 | − | 0.168096i | ||||
\(555\) | 4.18712e6 | + | 5.25048e6i | 0.577009 | + | 0.723547i | ||||
\(556\) | 595220. | + | 286643.i | 0.0816565 | + | 0.0393237i | ||||
\(557\) | −1.12476e7 | + | 5.41658e6i | −1.53611 | + | 0.739754i | −0.994875 | − | 0.101115i | \(-0.967759\pi\) |
−0.541240 | + | 0.840868i | \(0.682045\pi\) | |||||||
\(558\) | −121914. | + | 152876.i | −0.0165756 | + | 0.0207851i | ||||
\(559\) | −1.05505e6 | − | 4.62247e6i | −0.142805 | − | 0.625669i | ||||
\(560\) | −9915.74 | − | 43443.7i | −0.00133615 | − | 0.00585406i | ||||
\(561\) | −292658. | − | 366981.i | −0.0392603 | − | 0.0492308i | ||||
\(562\) | 510854. | − | 2.23820e6i | 0.0682269 | − | 0.298922i | ||||
\(563\) | 1.45219e7 | 1.93087 | 0.965433 | − | 0.260650i | \(-0.0839367\pi\) | ||||
0.965433 | + | 0.260650i | \(0.0839367\pi\) | |||||||
\(564\) | −2.24820e6 | + | 9.84999e6i | −0.297602 | + | 1.30388i | ||||
\(565\) | −3.70632e6 | + | 1.78487e6i | −0.488451 | + | 0.235226i | ||||
\(566\) | 4.80719e6 | − | 2.31502e6i | 0.630739 | − | 0.303748i | ||||
\(567\) | 3.28305e6 | − | 1.43840e7i | 0.428865 | − | 1.87898i | ||||
\(568\) | −1.41922e6 | −0.184578 | ||||||||
\(569\) | 1.50118e6 | − | 6.57708e6i | 0.194380 | − | 0.851633i | −0.779831 | − | 0.625991i | \(-0.784695\pi\) |
0.974210 | − | 0.225642i | \(-0.0724480\pi\) | |||||||
\(570\) | −2.66634e6 | − | 3.34349e6i | −0.343739 | − | 0.431035i | ||||
\(571\) | 1.15177e6 | + | 5.04624e6i | 0.147835 | + | 0.647706i | 0.993484 | + | 0.113968i | \(0.0363561\pi\) |
−0.845650 | + | 0.533738i | \(0.820787\pi\) | |||||||
\(572\) | −340125. | − | 1.49019e6i | −0.0434659 | − | 0.190437i | ||||
\(573\) | −1.42030e6 | + | 1.78100e6i | −0.180715 | + | 0.226609i | ||||
\(574\) | 1.20929e6 | − | 582362.i | 0.153197 | − | 0.0737758i | ||||
\(575\) | −8.16573e6 | − | 3.93241e6i | −1.02997 | − | 0.496008i | ||||
\(576\) | 7.86803e6 | + | 9.86619e6i | 0.988120 | + | 1.23906i | ||||
\(577\) | 3.37647e6 | − | 4.23396e6i | 0.422205 | − | 0.529429i | −0.524551 | − | 0.851379i | \(-0.675767\pi\) |
0.946757 | + | 0.321950i | \(0.104338\pi\) | |||||||
\(578\) | 4.31215e6 | + | 2.07662e6i | 0.536877 | + | 0.258546i | ||||
\(579\) | 1.90209e6 | 0.235795 | ||||||||
\(580\) | −791085. | − | 1.40792e6i | −0.0976458 | − | 0.173783i | ||||
\(581\) | −4.53323e6 | −0.557144 | ||||||||
\(582\) | −1.92300e6 | − | 926066.i | −0.235327 | − | 0.113327i | ||||
\(583\) | 622492. | − | 780581.i | 0.0758512 | − | 0.0951144i | ||||
\(584\) | −5.41159e6 | − | 6.78592e6i | −0.656587 | − | 0.823335i | ||||
\(585\) | −7.09844e6 | − | 3.41843e6i | −0.857577 | − | 0.412987i | ||||
\(586\) | 1.99307e6 | − | 959812.i | 0.239761 | − | 0.115463i | ||||
\(587\) | −1.02423e6 | + | 1.28434e6i | −0.122688 | + | 0.153845i | −0.839382 | − | 0.543542i | \(-0.817083\pi\) |
0.716694 | + | 0.697387i | \(0.245654\pi\) | |||||||
\(588\) | −1.74277e6 | − | 7.63555e6i | −0.207872 | − | 0.910746i | ||||
\(589\) | 44571.4 | + | 195280.i | 0.00529381 | + | 0.0231937i | ||||
\(590\) | 1.10715e6 | + | 1.38833e6i | 0.130942 | + | 0.164196i | ||||
\(591\) | −1.52779e6 | + | 6.69368e6i | −0.179926 | + | 0.788308i | ||||
\(592\) | −502870. | −0.0589727 | ||||||||
\(593\) | −1.80606e6 | + | 7.91287e6i | −0.210909 | + | 0.924054i | 0.753041 | + | 0.657973i | \(0.228586\pi\) |
−0.963951 | + | 0.266081i | \(0.914271\pi\) | |||||||
\(594\) | −4.52381e6 | + | 2.17855e6i | −0.526063 | + | 0.253339i | ||||
\(595\) | 138830. | − | 66856.9i | 0.0160764 | − | 0.00774201i | ||||
\(596\) | −1.29948e6 | + | 5.69337e6i | −0.149848 | + | 0.656529i | ||||
\(597\) | −9.99338e6 | −1.14756 | ||||||||
\(598\) | −1.63084e6 | + | 7.14519e6i | −0.186491 | + | 0.817072i | ||||
\(599\) | 2.63810e6 | + | 3.30808e6i | 0.300417 | + | 0.376711i | 0.909012 | − | 0.416770i | \(-0.136838\pi\) |
−0.608595 | + | 0.793481i | \(0.708266\pi\) | |||||||
\(600\) | −3.39300e6 | − | 1.48657e7i | −0.384774 | − | 1.68581i | ||||
\(601\) | 3.09094e6 | + | 1.35423e7i | 0.349063 | + | 1.52935i | 0.779312 | + | 0.626636i | \(0.215569\pi\) |
−0.430249 | + | 0.902710i | \(0.641574\pi\) | |||||||
\(602\) | 967522. | − | 1.21323e6i | 0.108810 | − | 0.136444i | ||||
\(603\) | 2.19985e7 | − | 1.05939e7i | 2.46376 | − | 1.18649i | ||||
\(604\) | 6.74099e6 | + | 3.24629e6i | 0.751850 | + | 0.362072i | ||||
\(605\) | 1.62232e6 | + | 2.03432e6i | 0.180197 | + | 0.225960i | ||||
\(606\) | −6.81982e6 | + | 8.55178e6i | −0.754382 | + | 0.945965i | ||||
\(607\) | −3.96728e6 | − | 1.91054e6i | −0.437040 | − | 0.210467i | 0.202409 | − | 0.979301i | \(-0.435123\pi\) |
−0.639449 | + | 0.768834i | \(0.720837\pi\) | |||||||
\(608\) | 1.38050e7 | 1.51452 | ||||||||
\(609\) | 4.29077e6 | + | 7.63640e6i | 0.468805 | + | 0.834344i | ||||
\(610\) | 3.01344e6 | 0.327897 | ||||||||
\(611\) | −9.86319e6 | − | 4.74986e6i | −1.06884 | − | 0.514728i | ||||
\(612\) | 1.17389e6 | − | 1.47201e6i | 0.126691 | − | 0.158866i | ||||
\(613\) | 1.76690e6 | + | 2.21562e6i | 0.189916 | + | 0.238147i | 0.867669 | − | 0.497143i | \(-0.165618\pi\) |
−0.677753 | + | 0.735290i | \(0.737046\pi\) | |||||||
\(614\) | −1.23902e6 | − | 596679.i | −0.132634 | − | 0.0638733i | ||||
\(615\) | 2.94242e6 | − | 1.41699e6i | 0.313702 | − | 0.151071i | ||||
\(616\) | 802896. | − | 1.00680e6i | 0.0852526 | − | 0.106903i | ||||
\(617\) | −2.83331e6 | − | 1.24135e7i | −0.299627 | − | 1.31275i | −0.870685 | − | 0.491842i | \(-0.836324\pi\) |
0.571058 | − | 0.820910i | \(-0.306533\pi\) | |||||||
\(618\) | 2.10682e6 | + | 9.23058e6i | 0.221899 | + | 0.972205i | ||||
\(619\) | −2.15877e6 | − | 2.70702e6i | −0.226454 | − | 0.283965i | 0.655604 | − | 0.755105i | \(-0.272414\pi\) |
−0.882058 | + | 0.471140i | \(0.843843\pi\) | |||||||
\(620\) | 6742.60 | − | 29541.3i | 0.000704447 | − | 0.00308638i | ||||
\(621\) | −4.19324e7 | −4.36336 | ||||||||
\(622\) | −1.65007e6 | + | 7.22942e6i | −0.171012 | + | 0.749252i | ||||
\(623\) | −4.14142e6 | + | 1.99440e6i | −0.427493 | + | 0.205870i | ||||
\(624\) | 723301. | − | 348323.i | 0.0743631 | − | 0.0358114i | ||||
\(625\) | −1.55224e6 | + | 6.80082e6i | −0.158950 | + | 0.696404i | ||||
\(626\) | 1.02029e7 | 1.04060 | ||||||||
\(627\) | −1.79049e6 | + | 7.84467e6i | −0.181888 | + | 0.796903i | ||||
\(628\) | −190546. | − | 238938.i | −0.0192798 | − | 0.0241760i | ||||
\(629\) | −386941. | − | 1.69530e6i | −0.0389958 | − | 0.170852i | ||||
\(630\) | −573791. | − | 2.51394e6i | −0.0575973 | − | 0.252350i | ||||
\(631\) | 5.23417e6 | − | 6.56344e6i | 0.523329 | − | 0.656234i | −0.447983 | − | 0.894042i | \(-0.647858\pi\) |
0.971312 | + | 0.237808i | \(0.0764290\pi\) | |||||||
\(632\) | 5.62761e6 | − | 2.71011e6i | 0.560443 | − | 0.269895i | ||||
\(633\) | −1.61601e7 | − | 7.78231e6i | −1.60301 | − | 0.771968i | ||||
\(634\) | −2.83896e6 | − | 3.55994e6i | −0.280502 | − | 0.351738i | ||||
\(635\) | −12774.3 | + | 16018.4i | −0.00125719 | + | 0.00157647i | ||||
\(636\) | 4.90983e6 | + | 2.36445e6i | 0.481309 | + | 0.231786i | ||||
\(637\) | 8.48618e6 | 0.828636 | ||||||||
\(638\) | 656285. | − | 1.61643e6i | 0.0638323 | − | 0.157219i | ||||
\(639\) | 5.34709e6 | 0.518043 | ||||||||
\(640\) | −1.95025e6 | − | 939193.i | −0.188209 | − | 0.0906368i | ||||
\(641\) | 788817. | − | 989146.i | 0.0758283 | − | 0.0950857i | −0.742470 | − | 0.669879i | \(-0.766346\pi\) |
0.818299 | + | 0.574793i | \(0.194917\pi\) | |||||||
\(642\) | 436719. | + | 547629.i | 0.0418181 | + | 0.0524383i | ||||
\(643\) | −5.78565e6 | − | 2.78622e6i | −0.551855 | − | 0.265759i | 0.137108 | − | 0.990556i | \(-0.456219\pi\) |
−0.688963 | + | 0.724797i | \(0.741934\pi\) | |||||||
\(644\) | 3.76412e6 | − | 1.81270e6i | 0.357642 | − | 0.172231i | ||||
\(645\) | 2.35416e6 | − | 2.95202e6i | 0.222811 | − | 0.279396i | ||||
\(646\) | 246403. | + | 1.07956e6i | 0.0232308 | + | 0.101781i | ||||
\(647\) | −4.41176e6 | − | 1.93292e7i | −0.414335 | − | 1.81532i | −0.563031 | − | 0.826436i | \(-0.690365\pi\) |
0.148697 | − | 0.988883i | \(-0.452492\pi\) | |||||||
\(648\) | −2.57419e7 | − | 3.22794e7i | −2.40826 | − | 3.01986i | ||||
\(649\) | 743472. | − | 3.25736e6i | 0.0692872 | − | 0.303567i | ||||
\(650\) | 6.41838e6 | 0.595857 | ||||||||
\(651\) | −36571.2 | + | 160229.i | −0.00338210 | + | 0.0148180i | ||||
\(652\) | −3.31068e6 | + | 1.59434e6i | −0.304999 | + | 0.146880i | ||||
\(653\) | 1.27531e7 | − | 6.14155e6i | 1.17039 | − | 0.563631i | 0.255295 | − | 0.966863i | \(-0.417828\pi\) |
0.915098 | + | 0.403232i | \(0.132113\pi\) | |||||||
\(654\) | 1.91247e6 | − | 8.37908e6i | 0.174844 | − | 0.766041i | ||||
\(655\) | 1.60506e6 | 0.146180 | ||||||||
\(656\) | −54417.0 | + | 238417.i | −0.00493714 | + | 0.0216310i | ||||
\(657\) | 2.03888e7 | + | 2.55668e7i | 1.84280 | + | 2.31080i | ||||
\(658\) | −797275. | − | 3.49309e6i | −0.0717866 | − | 0.314517i | ||||
\(659\) | −230802. | − | 1.01121e6i | −0.0207027 | − | 0.0907044i | 0.963521 | − | 0.267632i | \(-0.0862412\pi\) |
−0.984224 | + | 0.176928i | \(0.943384\pi\) | |||||||
\(660\) | 758930. | − | 951669.i | 0.0678176 | − | 0.0850405i | ||||
\(661\) | 6.97314e6 | − | 3.35809e6i | 0.620762 | − | 0.298943i | −0.0969439 | − | 0.995290i | \(-0.530907\pi\) |
0.717705 | + | 0.696347i | \(0.245192\pi\) | |||||||
\(662\) | 7.05664e6 | + | 3.39830e6i | 0.625825 | + | 0.301382i | ||||
\(663\) | 1.73084e6 | + | 2.17040e6i | 0.152923 | + | 0.191759i | ||||
\(664\) | −7.90936e6 | + | 9.91802e6i | −0.696179 | + | 0.872981i | ||||
\(665\) | −2.37987e6 | − | 1.14609e6i | −0.208689 | − | 0.100499i | ||||
\(666\) | −2.90994e7 | −2.54213 | ||||||||
\(667\) | 1.07952e7 | − | 9.78440e6i | 0.939542 | − | 0.851568i | ||||
\(668\) | −4.70682e6 | −0.408119 | ||||||||
\(669\) | −2.86374e6 | − | 1.37910e6i | −0.247382 | − | 0.119133i | ||||
\(670\) | 1.35444e6 | − | 1.69842e6i | 0.116566 | − | 0.146170i | ||||
\(671\) | −3.53514e6 | − | 4.43292e6i | −0.303110 | − | 0.380088i | ||||
\(672\) | 1.02053e7 | + | 4.91463e6i | 0.871775 | + | 0.419825i | ||||
\(673\) | −6.06015e6 | + | 2.91842e6i | −0.515758 | + | 0.248376i | −0.673610 | − | 0.739087i | \(-0.735257\pi\) |
0.157852 | + | 0.987463i | \(0.449543\pi\) | |||||||
\(674\) | −4.93320e6 | + | 6.18604e6i | −0.418292 | + | 0.524521i | ||||
\(675\) | 8.17157e6 | + | 3.58020e7i | 0.690313 | + | 3.02446i | ||||
\(676\) | 332015. | + | 1.45465e6i | 0.0279442 | + | 0.122431i | ||||
\(677\) | 6.22734e6 | + | 7.80884e6i | 0.522193 | + | 0.654809i | 0.971073 | − | 0.238783i | \(-0.0767483\pi\) |
−0.448880 | + | 0.893592i | \(0.648177\pi\) | |||||||
\(678\) | 5.39744e6 | − | 2.36477e7i | 0.450935 | − | 1.97567i | ||||
\(679\) | −1.31833e6 | −0.109736 | ||||||||
\(680\) | 95950.6 | − | 420387.i | 0.00795748 | − | 0.0348640i | ||||
\(681\) | 811266. | − | 390685.i | 0.0670341 | − | 0.0322819i | ||||
\(682\) | 29491.6 | − | 14202.4i | 0.00242794 | − | 0.00116923i | ||||
\(683\) | −188163. | + | 824395.i | −0.0154341 | + | 0.0676213i | −0.982059 | − | 0.188576i | \(-0.939613\pi\) |
0.966624 | + | 0.256198i | \(0.0824698\pi\) | |||||||
\(684\) | −3.22751e7 | −2.63771 | ||||||||
\(685\) | −559102. | + | 2.44959e6i | −0.0455265 | + | 0.199465i | ||||
\(686\) | 4.01876e6 | + | 5.03936e6i | 0.326048 | + | 0.408851i | ||||
\(687\) | 3.95181e6 | + | 1.73140e7i | 0.319451 | + | 1.39961i | ||||
\(688\) | 62913.9 | + | 275644.i | 0.00506728 | + | 0.0222012i | ||||
\(689\) | −3.68155e6 | + | 4.61651e6i | −0.295449 | + | 0.370481i | ||||
\(690\) | −5.25842e6 | + | 2.53232e6i | −0.420467 | + | 0.202486i | ||||
\(691\) | 1.37567e7 | + | 6.62490e6i | 1.09602 | + | 0.527818i | 0.892406 | − | 0.451233i | \(-0.149016\pi\) |
0.203618 | + | 0.979050i | \(0.434730\pi\) | |||||||
\(692\) | −4.07163e6 | − | 5.10566e6i | −0.323224 | − | 0.405310i | ||||
\(693\) | −3.02501e6 | + | 3.79325e6i | −0.239273 | + | 0.300039i | ||||
\(694\) | −9.78401e6 | − | 4.71173e6i | −0.771113 | − | 0.371349i | ||||
\(695\) | −570055. | −0.0447666 | ||||||||
\(696\) | 2.41936e7 | + | 3.93606e6i | 1.89312 | + | 0.307991i | ||||
\(697\) | −845634. | −0.0659326 | ||||||||
\(698\) | 5.72106e6 | + | 2.75512e6i | 0.444465 | + | 0.214043i | ||||
\(699\) | 1.97774e7 | − | 2.48000e7i | 1.53100 | − | 1.91982i | ||||
\(700\) | −2.28122e6 | − | 2.86056e6i | −0.175963 | − | 0.220651i | ||||
\(701\) | −1.79279e6 | − | 863365.i | −0.137796 | − | 0.0663589i | 0.363715 | − | 0.931510i | \(-0.381508\pi\) |
−0.501511 | + | 0.865151i | \(0.667222\pi\) | |||||||
\(702\) | 2.67547e7 | − | 1.28844e7i | 2.04907 | − | 0.986782i | ||||
\(703\) | −1.85855e7 | + | 2.33055e7i | −1.41836 | + | 1.77856i | ||||
\(704\) | −470079. | − | 2.05955e6i | −0.0357470 | − | 0.156618i | ||||
\(705\) | −1.93991e6 | − | 8.49932e6i | −0.146997 | − | 0.644038i | ||||
\(706\) | 3.87630e6 | + | 4.86072e6i | 0.292688 | + | 0.367019i | ||||
\(707\) | −1.50339e6 | + | 6.58677e6i | −0.113116 | + | 0.495592i | ||||
\(708\) | 1.82367e7 | 1.36730 | ||||||||
\(709\) | 2.71515e6 | − | 1.18958e7i | 0.202851 | − | 0.888750i | −0.766339 | − | 0.642437i | \(-0.777924\pi\) |
0.969190 | − | 0.246314i | \(-0.0792193\pi\) | |||||||
\(710\) | 428624. | − | 206414.i | 0.0319102 | − | 0.0153672i | ||||
\(711\) | −2.12027e7 | + | 1.02107e7i | −1.57296 | + | 0.757498i | ||||
\(712\) | −2.86230e6 | + | 1.25405e7i | −0.211599 | + | 0.927078i | ||||
\(713\) | 273366. | 0.0201382 | ||||||||
\(714\) | −202175. | + | 885787.i | −0.0148416 | + | 0.0650255i | ||||
\(715\) | 822330. | + | 1.03117e6i | 0.0601563 | + | 0.0754336i | ||||
\(716\) | 3.37736e6 | + | 1.47972e7i | 0.246204 | + | 1.07869i | ||||
\(717\) | 1.53179e6 | + | 6.71123e6i | 0.111276 | + | 0.487533i | ||||
\(718\) | −7.84621e6 | + | 9.83883e6i | −0.568000 | + | 0.712250i | ||||
\(719\) | 3.04327e6 | − | 1.46556e6i | 0.219542 | − | 0.105726i | −0.320880 | − | 0.947120i | \(-0.603979\pi\) |
0.540422 | + | 0.841394i | \(0.318264\pi\) | |||||||
\(720\) | 423289. | + | 203845.i | 0.0304302 | + | 0.0146544i | ||||
\(721\) | 3.64622e6 | + | 4.57221e6i | 0.261219 | + | 0.327558i | ||||
\(722\) | 6.56094e6 | − | 8.22716e6i | 0.468407 | − | 0.587363i | ||||
\(723\) | −2.23506e7 | − | 1.07635e7i | −1.59017 | − | 0.765786i | ||||
\(724\) | −8.38256e6 | −0.594334 | ||||||||
\(725\) | −1.04577e7 | − | 7.31023e6i | −0.738906 | − | 0.516519i | ||||
\(726\) | −1.53423e7 | −1.08031 | ||||||||
\(727\) | −2.13249e7 | − | 1.02695e7i | −1.49641 | − | 0.720632i | −0.506487 | − | 0.862248i | \(-0.669056\pi\) |
−0.989922 | + | 0.141615i | \(0.954770\pi\) | |||||||
\(728\) | −4.74849e6 | + | 5.95442e6i | −0.332068 | + | 0.416400i | ||||
\(729\) | 3.71981e7 | + | 4.66450e7i | 2.59240 | + | 3.25077i | ||||
\(730\) | 2.62133e6 | + | 1.26237e6i | 0.182060 | + | 0.0876755i | ||||
\(731\) | −880853. | + | 424196.i | −0.0609691 | + | 0.0293612i | ||||
\(732\) | 1.92956e7 | − | 2.41959e7i | 1.33101 | − | 1.66903i | ||||
\(733\) | 1.62521e6 | + | 7.12050e6i | 0.111725 | + | 0.489498i | 0.999569 | + | 0.0293540i | \(0.00934501\pi\) |
−0.887844 | + | 0.460144i | \(0.847798\pi\) | |||||||
\(734\) | −2.35617e6 | − | 1.03231e7i | −0.161423 | − | 0.707242i | ||||
\(735\) | 4.21353e6 | + | 5.28360e6i | 0.287692 | + | 0.360754i | ||||
\(736\) | 4.19242e6 | − | 1.83682e7i | 0.285279 | − | 1.24989i | ||||
\(737\) | −4.08739e6 | −0.277190 | ||||||||
\(738\) | −3.14893e6 | + | 1.37964e7i | −0.212825 | + | 0.932447i | ||||
\(739\) | 1.15877e6 | − | 558034.i | 0.0780524 | − | 0.0375881i | −0.394450 | − | 0.918917i | \(-0.629065\pi\) |
0.472503 | + | 0.881329i | \(0.343351\pi\) | |||||||
\(740\) | 4.06280e6 | − | 1.95654e6i | 0.272738 | − | 0.131344i | ||||
\(741\) | 1.05893e7 | − | 4.63950e7i | 0.708473 | − | 3.10402i | ||||
\(742\) | −1.93255e6 | −0.128861 | ||||||||
\(743\) | 907765. | − | 3.97718e6i | 0.0603255 | − | 0.264303i | −0.935767 | − | 0.352619i | \(-0.885291\pi\) |
0.996093 | + | 0.0883154i | \(0.0281483\pi\) | |||||||
\(744\) | 286749. | + | 359572.i | 0.0189920 | + | 0.0238152i | ||||
\(745\) | −1.12129e6 | − | 4.91268e6i | −0.0740161 | − | 0.324286i | ||||
\(746\) | −2.76149e6 | − | 1.20989e7i | −0.181676 | − | 0.795973i | ||||
\(747\) | 2.97995e7 | − | 3.73674e7i | 1.95392 | − | 2.45014i | ||||
\(748\) | −283968. | + | 136752.i | −0.0185573 | + | 0.00893675i | ||||
\(749\) | 389798. | + | 187717.i | 0.0253884 | + | 0.0122264i | ||||
\(750\) | 6.72171e6 | + | 8.42876e6i | 0.436342 | + | 0.547155i | ||||
\(751\) | −8.32588e6 | + | 1.04403e7i | −0.538679 | + | 0.675483i | −0.974458 | − | 0.224572i | \(-0.927902\pi\) |
0.435778 | + | 0.900054i | \(0.356473\pi\) | |||||||
\(752\) | 588154. | + | 283240.i | 0.0379268 | + | 0.0182646i | ||||
\(753\) | 3.01187e7 | 1.93575 | ||||||||
\(754\) | −3.88140e6 | + | 9.55987e6i | −0.248634 | + | 0.612384i | ||||
\(755\) | −6.45599e6 | −0.412188 | ||||||||
\(756\) | −1.52515e7 | − | 7.34474e6i | −0.970529 | − | 0.467382i | ||||
\(757\) | −5.77400e6 | + | 7.24037e6i | −0.366216 | + | 0.459220i | −0.930463 | − | 0.366386i | \(-0.880595\pi\) |
0.564247 | + | 0.825606i | \(0.309167\pi\) | |||||||
\(758\) | 7.35152e6 | + | 9.21851e6i | 0.464733 | + | 0.582757i | ||||
\(759\) | 9.89396e6 | + | 4.76468e6i | 0.623398 | + | 0.300213i | ||||
\(760\) | −6.65975e6 | + | 3.20717e6i | −0.418238 | + | 0.201413i | ||||
\(761\) | −1.49456e7 | + | 1.87412e7i | −0.935518 | + | 1.17310i | 0.0491719 | + | 0.998790i | \(0.484342\pi\) |
−0.984690 | + | 0.174313i | \(0.944230\pi\) | |||||||
\(762\) | −26882.0 | − | 117778.i | −0.00167716 | − | 0.00734812i | ||||
\(763\) | −1.18128e6 | − | 5.17551e6i | −0.0734581 | − | 0.321841i | ||||
\(764\) | 953695. | + | 1.19590e6i | 0.0591121 | + | 0.0741242i | ||||
\(765\) | −361506. | + | 1.58386e6i | −0.0223338 | + | 0.0978507i | ||||
\(766\) | −2.26651e6 | −0.139568 | ||||||||
\(767\) | −4.39704e6 | + | 1.92647e7i | −0.269881 | + | 1.18243i | ||||
\(768\) | 2.78527e7 | − | 1.34132e7i | 1.70398 | − | 0.820593i | ||||
\(769\) | −1.18256e7 | + | 5.69490e6i | −0.721118 | + | 0.347272i | −0.758184 | − | 0.652041i | \(-0.773913\pi\) |
0.0370660 | + | 0.999313i | \(0.488199\pi\) | |||||||
\(770\) | −96054.4 | + | 420842.i | −0.00583836 | + | 0.0255795i | ||||
\(771\) | −3.96631e6 | −0.240298 | ||||||||
\(772\) | 284204. | − | 1.24518e6i | 0.0171628 | − | 0.0751950i | ||||
\(773\) | −8.92692e6 | − | 1.11940e7i | −0.537345 | − | 0.673809i | 0.436846 | − | 0.899536i | \(-0.356096\pi\) |
−0.974191 | + | 0.225727i | \(0.927524\pi\) | |||||||
\(774\) | 3.64061e6 | + | 1.59506e7i | 0.218435 | + | 0.957026i | ||||
\(775\) | −53272.1 | − | 233400.i | −0.00318600 | − | 0.0139588i | ||||
\(776\) | −2.30017e6 | + | 2.88432e6i | −0.137121 | + | 0.171945i | ||||
\(777\) | −2.20362e7 | + | 1.06121e7i | −1.30944 | + | 0.630591i | ||||
\(778\) | −8.98562e6 | − | 4.32724e6i | −0.532229 | − | 0.256308i | ||||
\(779\) | 9.03821e6 | + | 1.13336e7i | 0.533628 | + | 0.669149i | ||||
\(780\) | −4.48847e6 | + | 5.62836e6i | −0.264157 | + | 0.331242i | ||||
\(781\) | −806475. | − | 388378.i | −0.0473112 | − | 0.0227839i | ||||
\(782\) | 1.51124e6 | 0.0883722 | ||||||||
\(783\) | −5.82669e7 | − | 9.47944e6i | −3.39639 | − | 0.552559i | ||||
\(784\) | −506041. | −0.0294033 | ||||||||
\(785\) | 237591. | + | 114418.i | 0.0137612 | + | 0.00662703i | ||||
\(786\) | −5.90072e6 | + | 7.39927e6i | −0.340682 | + | 0.427201i | ||||
\(787\) | −3.25350e6 | − | 4.07976e6i | −0.187246 | − | 0.234800i | 0.679344 | − | 0.733820i | \(-0.262265\pi\) |
−0.866590 | + | 0.499021i | \(0.833693\pi\) | |||||||
\(788\) | 4.15366e6 | + | 2.00030e6i | 0.238295 | + | 0.114757i | ||||
\(789\) | 7.08522e6 | − | 3.41206e6i | 0.405192 | − | 0.195130i | ||||
\(790\) | −1.30545e6 | + | 1.63698e6i | −0.0744205 | + | 0.0933203i | ||||
\(791\) | −3.33384e6 | − | 1.46065e7i | −0.189454 | − | 0.830051i | ||||
\(792\) | 3.02116e6 | + | 1.32365e7i | 0.171143 | + | 0.749828i | ||||
\(793\) | 2.09075e7 | + | 2.62172e7i | 1.18065 | + | 1.48048i | ||||
\(794\) | 4.09136e6 | − | 1.79254e7i | 0.230312 | − | 1.00906i | ||||
\(795\) | −4.70224e6 | −0.263868 | ||||||||
\(796\) | −1.49318e6 | + | 6.54205e6i | −0.0835276 | + | 0.365958i | ||||
\(797\) | 1.02558e7 | − | 4.93892e6i | 0.571903 | − | 0.275414i | −0.125499 | − | 0.992094i | \(-0.540053\pi\) |
0.697402 | + | 0.716680i | \(0.254339\pi\) | |||||||
\(798\) | 1.40326e7 | − | 6.75774e6i | 0.780064 | − | 0.375659i | ||||
\(799\) | −502308. | + | 2.20076e6i | −0.0278358 | + | 0.121956i | ||||
\(800\) | −1.64998e7 | −0.911493 | ||||||||
\(801\) | 1.07841e7 | − | 4.72481e7i | 0.593883 | − | 2.60197i | ||||
\(802\) | −1.26799e7 | − | 1.59001e7i | −0.696114 | − | 0.872899i | ||||
\(803\) | −1.21814e6 | − | 5.33703e6i | −0.0666667 | − | 0.292086i | ||||
\(804\) | −4.96443e6 | − | 2.17506e7i | −0.270850 | − | 1.18667i | ||||
\(805\) | −2.24766e6 | + | 2.81848e6i | −0.122248 | + | 0.153294i | ||||
\(806\) | −174419. | + | 83996.0i | −0.00945708 | + | 0.00455429i | ||||
\(807\) | −3.69548e7 | − | 1.77965e7i | −1.99750 | − | 0.961946i | ||||
\(808\) | 1.17878e7 | + | 1.47815e7i | 0.635193 | + | 0.796507i | ||||
\(809\) | 1.98213e6 | − | 2.48552e6i | 0.106478 | − | 0.133520i | −0.725737 | − | 0.687973i | \(-0.758501\pi\) |
0.832215 | + | 0.554453i | \(0.187072\pi\) | |||||||
\(810\) | 1.24692e7 | + | 6.00484e6i | 0.667768 | + | 0.321580i | ||||
\(811\) | −2.76119e6 | −0.147416 | −0.0737078 | − | 0.997280i | \(-0.523483\pi\) | ||||
−0.0737078 | + | 0.997280i | \(0.523483\pi\) | |||||||
\(812\) | 5.64019e6 | − | 1.66790e6i | 0.300195 | − | 0.0887726i | ||||
\(813\) | −1.89438e7 | −1.00517 | ||||||||
\(814\) | 4.38892e6 | + | 2.11359e6i | 0.232165 | + | 0.111805i | ||||
\(815\) | 1.97690e6 | − | 2.47896e6i | 0.104254 | − | 0.130730i | ||||
\(816\) | −103212. | − | 129424.i | −0.00542631 | − | 0.00680438i | ||||
\(817\) | 1.50999e7 | + | 7.27173e6i | 0.791442 | + | 0.381139i | ||||
\(818\) | −1.16891e7 | + | 5.62915e6i | −0.610796 | + | 0.294144i | ||||
\(819\) | 1.78905e7 | − | 2.24340e7i | 0.931995 | − | 1.16869i | ||||
\(820\) | −487972. | − | 2.13794e6i | −0.0253431 | − | 0.111035i | ||||
\(821\) | −7.51406e6 | − | 3.29212e7i | −0.389060 | − | 1.70458i | −0.667905 | − | 0.744247i | \(-0.732809\pi\) |
0.278845 | − | 0.960336i | \(-0.410049\pi\) | |||||||
\(822\) | −9.23706e6 | − | 1.15829e7i | −0.476820 | − | 0.597913i | ||||
\(823\) | 6.71097e6 | − | 2.94027e7i | 0.345371 | − | 1.51317i | −0.442183 | − | 0.896925i | \(-0.645796\pi\) |
0.787555 | − | 0.616245i | \(-0.211347\pi\) | |||||||
\(824\) | 1.63651e7 | 0.839652 | ||||||||
\(825\) | 2.14001e6 | − | 9.37600e6i | 0.109466 | − | 0.479604i | ||||
\(826\) | −5.82679e6 | + | 2.80603e6i | −0.297152 | + | 0.143101i | ||||
\(827\) | −3.22241e7 | + | 1.55183e7i | −1.63839 | + | 0.789007i | −0.638579 | + | 0.769556i | \(0.720478\pi\) |
−0.999811 | + | 0.0194510i | \(0.993808\pi\) | |||||||
\(828\) | −9.80159e6 | + | 4.29436e7i | −0.496845 | + | 2.17682i | ||||
\(829\) | 3.65522e6 | 0.184725 | 0.0923627 | − | 0.995725i | \(-0.470558\pi\) | ||||
0.0923627 | + | 0.995725i | \(0.470558\pi\) | |||||||
\(830\) | 946236. | − | 4.14573e6i | 0.0476765 | − | 0.208884i | ||||
\(831\) | 8.58153e6 | + | 1.07609e7i | 0.431084 | + | 0.540563i | ||||
\(832\) | 2.78015e6 | + | 1.21806e7i | 0.139238 | + | 0.610043i | ||||
\(833\) | −389381. | − | 1.70599e6i | −0.0194430 | − | 0.0851852i | ||||
\(834\) | 2.09570e6 | − | 2.62793e6i | 0.104331 | − | 0.130827i | ||||
\(835\) | 3.65920e6 | − | 1.76218e6i | 0.181623 | − | 0.0874649i | ||||
\(836\) | 4.86789e6 | + | 2.34425e6i | 0.240894 | + | 0.116008i | ||||
\(837\) | −690595. | − | 865978.i | −0.0340729 | − | 0.0427261i | ||||
\(838\) | −3.99931e6 | + | 5.01497e6i | −0.196732 | + | 0.246694i | ||||
\(839\) | 1.46094e7 | + | 7.03551e6i | 0.716518 | + | 0.345057i | 0.756366 | − | 0.654149i | \(-0.226973\pi\) |
−0.0398480 | + | 0.999206i | \(0.512687\pi\) | |||||||
\(840\) | −6.06500e6 | −0.296573 | ||||||||
\(841\) | 1.72123e7 | − | 1.11554e7i | 0.839168 | − | 0.543872i | ||||
\(842\) | −3.54809e6 | −0.172470 | ||||||||
\(843\) | 1.83295e7 | + | 8.82703e6i | 0.888346 | + | 0.427805i | ||||
\(844\) | −7.50920e6 | + | 9.41624e6i | −0.362859 | + | 0.455011i | ||||
\(845\) | −802722. | − | 1.00658e6i | −0.0386744 | − | 0.0484962i | ||||
\(846\) | 3.40345e7 | + | 1.63901e7i | 1.63491 | + | 0.787330i | ||||
\(847\) | −8.53802e6 | + | 4.11169e6i | −0.408930 | + | 0.196930i | ||||
\(848\) | 219535. | − | 275288.i | 0.0104837 | − | 0.0131461i | ||||
\(849\) | 1.05213e7 | + | 4.60967e7i | 0.500955 | + | 2.19483i | ||||
\(850\) | −294502. | − | 1.29030e6i | −0.0139811 | − | 0.0612552i | ||||
\(851\) | 2.53649e7 | + | 3.18065e7i | 1.20063 | + | 1.50554i | ||||
\(852\) | 1.08719e6 | − | 4.76328e6i | 0.0513104 | − | 0.224805i | ||||
\(853\) | 2.86195e7 | 1.34676 | 0.673379 | − | 0.739297i | \(-0.264842\pi\) | ||||
0.673379 | + | 0.739297i | \(0.264842\pi\) | |||||||
\(854\) | −2.44216e6 | + | 1.06998e7i | −0.114585 | + | 0.502031i | ||||
\(855\) | 2.50914e7 | − | 1.20834e7i | 1.17384 | − | 0.565294i | ||||
\(856\) | 1.09080e6 | − | 525300.i | 0.0508815 | − | 0.0245032i | ||||
\(857\) | 3.27740e6 | − | 1.43592e7i | 0.152433 | − | 0.667850i | −0.839741 | − | 0.542987i | \(-0.817293\pi\) |
0.992174 | − | 0.124864i | \(-0.0398494\pi\) | |||||||
\(858\) | −7.77680e6 | −0.360647 | ||||||||
\(859\) | 7.70829e6 | − | 3.37722e7i | 0.356431 | − | 1.56163i | −0.405579 | − | 0.914060i | \(-0.632930\pi\) |
0.762010 | − | 0.647566i | \(-0.224213\pi\) | |||||||
\(860\) | −1.58076e6 | − | 1.98220e6i | −0.0728817 | − | 0.0913908i | ||||
\(861\) | 2.64671e6 | + | 1.15960e7i | 0.121674 | + | 0.533090i | ||||
\(862\) | −116650. | − | 511078.i | −0.00534709 | − | 0.0234271i | ||||
\(863\) | −1.35517e7 | + | 1.69933e7i | −0.619395 | + | 0.776697i | −0.988259 | − | 0.152787i | \(-0.951175\pi\) |
0.368864 | + | 0.929483i | \(0.379747\pi\) | |||||||
\(864\) | −6.87786e7 | + | 3.31220e7i | −3.13450 | + | 1.50950i | ||||
\(865\) | 5.07689e6 | + | 2.44490e6i | 0.230705 | + | 0.111102i | ||||
\(866\) | 2.01290e6 | + | 2.52409e6i | 0.0912067 | + | 0.114370i | ||||
\(867\) | −2.64441e7 | + | 3.31599e7i | −1.19476 | + | 1.49819i | ||||
\(868\) | 99427.7 | + | 47881.8i | 0.00447928 | + | 0.00215711i | ||||
\(869\) | 3.93954e6 | 0.176969 | ||||||||
\(870\) | −7.87927e6 | + | 2.33003e6i | −0.352929 | + | 0.104367i | ||||
\(871\) | 2.41737e7 | 1.07968 | ||||||||
\(872\) | −1.33843e7 | − | 6.44552e6i | −0.596078 | − | 0.287056i | ||||
\(873\) | 8.66617e6 | − | 1.08670e7i | 0.384850 | − | 0.482587i | ||||
\(874\) | −1.61523e7 | − | 2.02543e7i | −0.715245 | − | 0.896888i | ||||
\(875\) | 5.99953e6 | + | 2.88922e6i | 0.264909 | + | 0.127574i | ||||
\(876\) | 2.69209e7 | − | 1.29644e7i | 1.18530 | − | 0.570811i | ||||
\(877\) | 3.27127e6 | − | 4.10204e6i | 0.143621 | − | 0.180095i | −0.704818 | − | 0.709388i | \(-0.748971\pi\) |
0.848439 | + | 0.529293i | \(0.177543\pi\) | |||||||
\(878\) | 2.10193e6 | + | 9.20915e6i | 0.0920198 | + | 0.403165i | ||||
\(879\) | 4.36214e6 | + | 1.91118e7i | 0.190426 | + | 0.834313i | ||||
\(880\) | −49036.6 | − | 61489.9i | −0.00213458 | − | 0.00267668i | ||||
\(881\) | −4.40322e6 | + | 1.92918e7i | −0.191131 | + | 0.837399i | 0.784875 | + | 0.619654i | \(0.212727\pi\) |
−0.976006 | + | 0.217745i | \(0.930130\pi\) | |||||||
\(882\) | −2.92829e7 | −1.26749 | ||||||||
\(883\) | 1.00513e6 | − | 4.40377e6i | 0.0433832 | − | 0.190074i | −0.948593 | − | 0.316498i | \(-0.897493\pi\) |
0.991976 | + | 0.126424i | \(0.0403500\pi\) | |||||||
\(884\) | 1.67945e6 | − | 808779.i | 0.0722829 | − | 0.0348096i | ||||
\(885\) | −1.41776e7 | + | 6.82759e6i | −0.608479 | + | 0.293028i | ||||
\(886\) | 1.69469e6 | − | 7.42494e6i | 0.0725282 | − | 0.317767i | ||||
\(887\) | 3.87481e7 | 1.65364 | 0.826820 | − | 0.562467i | \(-0.190148\pi\) | ||||
0.826820 | + | 0.562467i | \(0.190148\pi\) | |||||||
\(888\) | −1.52301e7 | + | 6.67274e7i | −0.648142 | + | 2.83969i | ||||
\(889\) | −46524.0 | − | 58339.3i | −0.00197434 | − | 0.00247575i | ||||
\(890\) | −959469. | − | 4.20371e6i | −0.0406028 | − | 0.177893i | ||||
\(891\) | −5.79448e6 | − | 2.53873e7i | −0.244523 | − | 1.07133i | ||||
\(892\) | −1.33071e6 | + | 1.66865e6i | −0.0559976 | + | 0.0702188i | ||||
\(893\) | 3.48642e7 | − | 1.67897e7i | 1.46302 | − | 0.704555i | ||||
\(894\) | 2.67695e7 | + | 1.28915e7i | 1.12020 | + | 0.539460i | ||||
\(895\) | −8.16554e6 | − | 1.02393e7i | −0.340743 | − | 0.427279i | ||||
\(896\) | 4.91532e6 | − | 6.16361e6i | 0.204542 | − | 0.256487i | ||||
\(897\) | −5.85149e7 | − | 2.81793e7i | −2.42821 | − | 1.16936i | ||||
\(898\) | 1.66876e7 | 0.690563 | ||||||||
\(899\) | 379854. | + | 61798.4i | 0.0156753 | + | 0.00255022i | ||||
\(900\) | 3.85754e7 | 1.58747 | ||||||||
\(901\) | 1.09699e6 | + | 528282.i | 0.0450184 | + | 0.0216797i | ||||
\(902\) | 1.47702e6 | − | 1.85212e6i | 0.0604462 | − | 0.0757972i | ||||
\(903\) | 8.57386e6 | + | 1.07513e7i | 0.349911 | + | 0.438774i | ||||
\(904\) | −3.77736e7 | − | 1.81908e7i | −1.53733 | − | 0.740339i | ||||
\(905\) | 6.51681e6 | − | 3.13833e6i | 0.264493 | − | 0.127373i | ||||
\(906\) | 2.37343e7 | − | 2.97619e7i | 0.960629 | − | 1.20459i | ||||
\(907\) | 2.88739e6 | + | 1.26505e7i | 0.116543 | + | 0.510609i | 0.999178 | + | 0.0405490i | \(0.0129107\pi\) |
−0.882634 | + | 0.470060i | \(0.844232\pi\) | |||||||
\(908\) | −134541. | − | 589461.i | −0.00541551 | − | 0.0237269i | ||||
\(909\) | −4.44122e7 | − | 5.56911e7i | −1.78276 | − | 2.23551i | ||||
\(910\) | 568085. | − | 2.48894e6i | 0.0227410 | − | 0.0996350i | ||||
\(911\) | 1.61374e7 | 0.644224 | 0.322112 | − | 0.946702i | \(-0.395607\pi\) | ||||
0.322112 | + | 0.946702i | \(0.395607\pi\) | |||||||
\(912\) | −631455. | + | 2.76659e6i | −0.0251394 | + | 0.110143i | ||||
\(913\) | −7.20864e6 | + | 3.47150e6i | −0.286205 | + | 0.137829i | ||||
\(914\) | 2.33011e7 | − | 1.12212e7i | 0.922596 | − | 0.444299i | ||||
\(915\) | −5.94222e6 | + | 2.60346e7i | −0.234637 | + | 1.02801i | ||||
\(916\) | 1.19249e7 | 0.469586 | ||||||||
\(917\) | −1.30078e6 | + | 5.69909e6i | −0.0510834 | + | 0.223811i | ||||
\(918\) | −3.81779e6 | − | 4.78735e6i | −0.149522 | − | 0.187495i | ||||
\(919\) | −3.26389e6 | − | 1.43000e7i | −0.127481 | − | 0.558532i | −0.997815 | − | 0.0660696i | \(-0.978954\pi\) |
0.870334 | − | 0.492462i | \(-0.163903\pi\) | |||||||
\(920\) | 2.24480e6 | + | 9.83511e6i | 0.0874395 | + | 0.383098i | ||||
\(921\) | 7.59823e6 | − | 9.52787e6i | 0.295164 | − | 0.370124i | ||||
\(922\) | 2.16339e7 | − | 1.04183e7i | 0.838122 | − | 0.403618i | ||||
\(923\) | 4.76966e6 | + | 2.29695e6i | 0.184282 | + | 0.0887456i | ||||
\(924\) | 2.76403e6 | + | 3.46599e6i | 0.106503 | + | 0.133551i | ||||
\(925\) | 2.22135e7 | − | 2.78549e7i | 0.853616 | − | 1.07040i | ||||
\(926\) | −7.39711e6 | − | 3.56226e6i | −0.283488 | − | 0.136521i | ||||
\(927\) | −6.16574e7 | −2.35660 | ||||||||
\(928\) | 9.97795e6 | − | 2.45756e7i | 0.380339 | − | 0.936774i | ||||
\(929\) | −4.49394e7 | −1.70839 | −0.854197 | − | 0.519950i | \(-0.825951\pi\) | ||||
−0.854197 | + | 0.519950i | \(0.825951\pi\) | |||||||
\(930\) | −138899. | − | 66890.2i | −0.00526613 | − | 0.00253604i | ||||
\(931\) | −1.87027e7 | + | 2.34525e7i | −0.707181 | + | 0.886776i | ||||
\(932\) | −1.32800e7 | − | 1.66526e7i | −0.500793 | − | 0.627974i | ||||
\(933\) | −5.92048e7 | − | 2.85115e7i | −2.22665 | − | 1.07230i | ||||
\(934\) | −364847. | + | 175701.i | −0.0136850 | + | 0.00659033i | ||||
\(935\) | 169566. | − | 212629.i | 0.00634321 | − | 0.00795413i | ||||
\(936\) | −1.78677e7 | − | 7.82837e7i | −0.666622 | − | 2.92066i | ||||
\(937\) | 4.17429e6 | + | 1.82887e7i | 0.155322 | + | 0.680510i | 0.991286 | + | 0.131726i | \(0.0420520\pi\) |
−0.835964 | + | 0.548784i | \(0.815091\pi\) | |||||||
\(938\) | 4.93289e6 | + | 6.18565e6i | 0.183060 | + | 0.229550i | ||||
\(939\) | −2.01191e7 | + | 8.81475e7i | −0.744636 | + | 3.26246i | ||||
\(940\) | −5.85384e6 | −0.216083 | ||||||||
\(941\) | 1.66568e6 | − | 7.29781e6i | 0.0613221 | − | 0.268670i | −0.934968 | − | 0.354733i | \(-0.884572\pi\) |
0.996290 | + | 0.0860637i | \(0.0274288\pi\) | |||||||
\(942\) | −1.40092e6 | + | 674648.i | −0.0514383 | + | 0.0247714i | ||||
\(943\) | 1.78247e7 | − | 8.58391e6i | 0.652743 | − | 0.314344i | ||||
\(944\) | 262201. | − | 1.14878e6i | 0.00957645 | − | 0.0419572i | ||||
\(945\) | 1.46067e7 | 0.532074 | ||||||||
\(946\) | 609451. | − | 2.67018e6i | 0.0221417 | − | 0.0970091i | ||||
\(947\) | 6.04897e6 | + | 7.58517e6i | 0.219183 | + | 0.274847i | 0.879251 | − | 0.476359i | \(-0.158044\pi\) |
−0.660068 | + | 0.751206i | \(0.729472\pi\) | |||||||
\(948\) | 4.78486e6 | + | 2.09638e7i | 0.172921 | + | 0.757617i | ||||
\(949\) | 7.20434e6 | + | 3.15643e7i | 0.259674 | + | 1.13771i | ||||
\(950\) | −1.41455e7 | + | 1.77379e7i | −0.508521 | + | 0.637665i | ||||
\(951\) | 3.63543e7 | − | 1.75073e7i | 1.30348 | − | 0.627722i | ||||
\(952\) | 1.41491e6 | + | 681383.i | 0.0505982 | + | 0.0243668i | ||||
\(953\) | −1.91963e7 | − | 2.40714e7i | −0.684677 | − | 0.858557i | 0.311099 | − | 0.950378i | \(-0.399303\pi\) |
−0.995776 | + | 0.0918202i | \(0.970732\pi\) | |||||||
\(954\) | 1.27038e7 | − | 1.59300e7i | 0.451920 | − | 0.566689i | ||||
\(955\) | −1.18916e6 | − | 572667.i | −0.0421920 | − | 0.0203186i | ||||
\(956\) | 4.62231e6 | 0.163574 | ||||||||
\(957\) | 1.26710e7 | + | 8.85741e6i | 0.447229 | + | 0.312627i | ||||
\(958\) | 7.52114e6 | 0.264771 | ||||||||
\(959\) | −8.24462e6 | − | 3.97040e6i | −0.289484 | − | 0.139408i | ||||
\(960\) | −6.20341e6 | + | 7.77883e6i | −0.217246 | + | 0.272418i | ||||
\(961\) | −1.78455e7 | − | 2.23775e7i | −0.623333 | − | 0.781634i | ||||
\(962\) | −2.59569e7 | − | 1.25002e7i | −0.904307 | − | 0.435491i | ||||
\(963\) | −4.10972e6 | + | 1.97914e6i | −0.142806 | + | 0.0687717i | ||||
\(964\) | −1.03858e7 | + | 1.30233e7i | −0.359953 | + | 0.451367i | ||||
\(965\) | 245233. | + | 1.07444e6i | 0.00847737 | + | 0.0371418i | ||||
\(966\) | −4.72996e6 | − | 2.07233e7i | −0.163085 | − | 0.714523i | ||||
\(967\) | 1.76018e7 | + | 2.20720e7i | 0.605330 | + | 0.759059i | 0.986198 | − | 0.165570i | \(-0.0529463\pi\) |
−0.380868 | + | 0.924629i | \(0.624375\pi\) | |||||||
\(968\) | −5.90096e6 | + | 2.58538e7i | −0.202411 | + | 0.886821i | ||||
\(969\) | −9.81273e6 | −0.335723 | ||||||||
\(970\) | 275180. | − | 1.20564e6i | 0.00939049 | − | 0.0411424i | ||||
\(971\) | −2.88583e7 | + | 1.38974e7i | −0.982250 | + | 0.473027i | −0.854878 | − | 0.518828i | \(-0.826368\pi\) |
−0.127372 | + | 0.991855i | \(0.540654\pi\) | |||||||
\(972\) | 7.00449e7 | − | 3.37319e7i | 2.37799 | − | 1.14518i | ||||
\(973\) | 461985. | − | 2.02409e6i | 0.0156439 | − | 0.0685406i | ||||
\(974\) | −2.30596e7 | −0.778852 | ||||||||
\(975\) | −1.26565e7 | + | 5.54516e7i | −0.426384 | + | 1.86811i | ||||
\(976\) | −1.24674e6 | − | 1.56336e6i | −0.0418940 | − | 0.0525334i | ||||
\(977\) | 2.22021e6 | + | 9.72738e6i | 0.0744145 | + | 0.326031i | 0.998410 | − | 0.0563725i | \(-0.0179535\pi\) |
−0.923995 | + | 0.382404i | \(0.875096\pi\) | |||||||
\(978\) | 4.16017e6 | + | 1.82269e7i | 0.139080 | + | 0.609348i | ||||
\(979\) | −5.05830e6 | + | 6.34291e6i | −0.168674 | + | 0.211510i | ||||
\(980\) | 4.08842e6 | − | 1.96888e6i | 0.135985 | − | 0.0654868i | ||||
\(981\) | 5.04269e7 | + | 2.42843e7i | 1.67298 | + | 0.805663i | ||||
\(982\) | −4.47083e6 | − | 5.60624e6i | −0.147948 | − | 0.185521i | ||||
\(983\) | −2.99753e7 | + | 3.75878e7i | −0.989418 | + | 1.24069i | −0.0188604 | + | 0.999822i | \(0.506004\pi\) |
−0.970558 | + | 0.240869i | \(0.922568\pi\) | |||||||
\(984\) | 2.99882e7 | + | 1.44415e7i | 0.987330 | + | 0.475473i | ||||
\(985\) | −3.97805e6 | −0.130641 | ||||||||
\(986\) | 2.09993e6 | + | 341638.i | 0.0687880 | + | 0.0111911i | ||||
\(987\) | 3.17507e7 | 1.03743 | ||||||||
\(988\) | −2.87897e7 | − | 1.38644e7i | −0.938307 | − | 0.451865i | ||||
\(989\) | 1.42611e7 | − | 1.78828e7i | 0.463620 | − | 0.581361i | ||||
\(990\) | −2.83758e6 | − | 3.55821e6i | −0.0920153 | − | 0.115384i | ||||
\(991\) | 4.27720e7 | + | 2.05979e7i | 1.38349 | + | 0.666252i | 0.969740 | − | 0.244139i | \(-0.0785054\pi\) |
0.413747 | + | 0.910392i | \(0.364220\pi\) | |||||||
\(992\) | 448381. | − | 215929.i | 0.0144667 | − | 0.00696678i | ||||
\(993\) | −4.32746e7 | + | 5.42647e7i | −1.39271 | + | 1.74640i | ||||
\(994\) | 385548. | + | 1.68919e6i | 0.0123769 | + | 0.0542268i | ||||
\(995\) | −1.28843e6 | − | 5.64498e6i | −0.0412576 | − | 0.180761i | ||||
\(996\) | −2.72286e7 | − | 3.41436e7i | −0.869715 | − | 1.09059i | ||||
\(997\) | 4.26125e6 | − | 1.86697e7i | 0.135768 | − | 0.594840i | −0.860569 | − | 0.509334i | \(-0.829892\pi\) |
0.996338 | − | 0.0855067i | \(-0.0272509\pi\) | |||||||
\(998\) | 2.70060e7 | 0.858290 | ||||||||
\(999\) | 3.66795e7 | − | 1.60703e8i | 1.16281 | − | 5.09461i |
(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 | 29.6.d.a.16.5 | ✓ | 66 | |
29.7 | even | 7 | 841.6.a.i.1.21 | 33 | |||
29.20 | even | 7 | inner | 29.6.d.a.20.5 | yes | 66 | |
29.22 | even | 14 | 841.6.a.h.1.13 | 33 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.6.d.a.16.5 | ✓ | 66 | 1.1 | even | 1 | trivial | |
29.6.d.a.20.5 | yes | 66 | 29.20 | even | 7 | inner | |
841.6.a.h.1.13 | 33 | 29.22 | even | 14 | |||
841.6.a.i.1.21 | 33 | 29.7 | even | 7 |