Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,3,Mod(23,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 10, 11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.23");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.u (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.17440793081\) |
Analytic rank: | \(0\) |
Dimension: | \(928\) |
Relative dimension: | \(116\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 287.104 | ||
Character | \(\chi\) | \(=\) | 300.287 |
Dual form | 300.3.u.a.23.104 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{9}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.87761 | + | 0.688911i | 0.938803 | + | 0.344456i | ||||
\(3\) | 2.13948 | − | 2.10301i | 0.713159 | − | 0.701003i | ||||
\(4\) | 3.05080 | + | 2.58701i | 0.762701 | + | 0.646752i | ||||
\(5\) | 4.57873 | − | 2.00878i | 0.915747 | − | 0.401756i | ||||
\(6\) | 5.46588 | − | 2.47471i | 0.910980 | − | 0.412452i | ||||
\(7\) | −0.467335 | + | 0.467335i | −0.0667622 | + | 0.0667622i | −0.739699 | − | 0.672937i | \(-0.765032\pi\) |
0.672937 | + | 0.739699i | \(0.265032\pi\) | |||||||
\(8\) | 3.94598 | + | 6.95911i | 0.493248 | + | 0.869889i | ||||
\(9\) | 0.154715 | − | 8.99867i | 0.0171905 | − | 0.999852i | ||||
\(10\) | 9.98093 | − | 0.617358i | 0.998093 | − | 0.0617358i | ||||
\(11\) | −6.23663 | − | 4.53118i | −0.566966 | − | 0.411925i | 0.267036 | − | 0.963687i | \(-0.413956\pi\) |
−0.834002 | + | 0.551762i | \(0.813956\pi\) | |||||||
\(12\) | 11.9676 | − | 0.881023i | 0.997301 | − | 0.0734186i | ||||
\(13\) | −0.214421 | + | 1.35380i | −0.0164939 | + | 0.104138i | −0.994562 | − | 0.104148i | \(-0.966789\pi\) |
0.978068 | + | 0.208286i | \(0.0667885\pi\) | |||||||
\(14\) | −1.19942 | + | 0.555518i | −0.0856731 | + | 0.0396799i | ||||
\(15\) | 5.57161 | − | 13.9269i | 0.371440 | − | 0.928457i | ||||
\(16\) | 2.61479 | + | 15.7849i | 0.163424 | + | 0.986556i | ||||
\(17\) | −2.24244 | − | 4.40103i | −0.131908 | − | 0.258884i | 0.815600 | − | 0.578616i | \(-0.196407\pi\) |
−0.947508 | + | 0.319732i | \(0.896407\pi\) | |||||||
\(18\) | 6.48978 | − | 16.7894i | 0.360543 | − | 0.932742i | ||||
\(19\) | −9.89600 | + | 30.4568i | −0.520842 | + | 1.60299i | 0.251552 | + | 0.967844i | \(0.419059\pi\) |
−0.772394 | + | 0.635144i | \(0.780941\pi\) | |||||||
\(20\) | 19.1655 | + | 5.71682i | 0.958277 | + | 0.285841i | ||||
\(21\) | −0.0170428 | + | 1.98266i | −0.000811560 | + | 0.0944125i | ||||
\(22\) | −8.58835 | − | 12.8042i | −0.390379 | − | 0.582011i | ||||
\(23\) | −18.1917 | + | 2.88128i | −0.790943 | + | 0.125273i | −0.538818 | − | 0.842422i | \(-0.681129\pi\) |
−0.252124 | + | 0.967695i | \(0.581129\pi\) | |||||||
\(24\) | 23.0774 | + | 6.59041i | 0.961558 | + | 0.274601i | ||||
\(25\) | 16.9296 | − | 18.3953i | 0.677184 | − | 0.735814i | ||||
\(26\) | −1.33524 | + | 2.39418i | −0.0513555 | + | 0.0920839i | ||||
\(27\) | −18.5933 | − | 19.5778i | −0.688639 | − | 0.725104i | ||||
\(28\) | −2.63475 | + | 0.216748i | −0.0940981 | + | 0.00774100i | ||||
\(29\) | −3.46494 | − | 10.6640i | −0.119481 | − | 0.367724i | 0.873374 | − | 0.487049i | \(-0.161927\pi\) |
−0.992855 | + | 0.119325i | \(0.961927\pi\) | |||||||
\(30\) | 20.0556 | − | 22.3108i | 0.668521 | − | 0.743693i | ||||
\(31\) | 3.44869 | + | 1.12055i | 0.111248 | + | 0.0361467i | 0.364112 | − | 0.931355i | \(-0.381373\pi\) |
−0.252864 | + | 0.967502i | \(0.581373\pi\) | |||||||
\(32\) | −5.96485 | + | 31.4392i | −0.186401 | + | 0.982474i | ||||
\(33\) | −22.8722 | + | 3.42134i | −0.693097 | + | 0.103677i | ||||
\(34\) | −1.17849 | − | 9.80824i | −0.0346615 | − | 0.288478i | ||||
\(35\) | −1.20103 | + | 3.07858i | −0.0343151 | + | 0.0879593i | ||||
\(36\) | 23.7516 | − | 27.0529i | 0.659767 | − | 0.751470i | ||||
\(37\) | 43.7106 | + | 6.92308i | 1.18137 | + | 0.187110i | 0.716060 | − | 0.698039i | \(-0.245944\pi\) |
0.465308 | + | 0.885149i | \(0.345944\pi\) | |||||||
\(38\) | −39.5628 | + | 50.3683i | −1.04113 | + | 1.32548i | ||||
\(39\) | 2.38830 | + | 3.34735i | 0.0612385 | + | 0.0858294i | ||||
\(40\) | 32.0469 | + | 23.9373i | 0.801173 | + | 0.598432i | ||||
\(41\) | −9.63498 | − | 13.2614i | −0.234999 | − | 0.323449i | 0.675188 | − | 0.737646i | \(-0.264063\pi\) |
−0.910187 | + | 0.414197i | \(0.864063\pi\) | |||||||
\(42\) | −1.39788 | + | 3.71092i | −0.0332828 | + | 0.0883551i | ||||
\(43\) | 17.2313 | + | 17.2313i | 0.400728 | + | 0.400728i | 0.878490 | − | 0.477761i | \(-0.158552\pi\) |
−0.477761 | + | 0.878490i | \(0.658552\pi\) | |||||||
\(44\) | −7.30454 | − | 29.9579i | −0.166012 | − | 0.680862i | ||||
\(45\) | −17.3680 | − | 41.5133i | −0.385955 | − | 0.922518i | ||||
\(46\) | −36.1417 | − | 7.12255i | −0.785690 | − | 0.154838i | ||||
\(47\) | 20.1804 | − | 39.6062i | 0.429370 | − | 0.842685i | −0.570403 | − | 0.821365i | \(-0.693213\pi\) |
0.999773 | − | 0.0213204i | \(-0.00678701\pi\) | |||||||
\(48\) | 38.7900 | + | 28.2725i | 0.808126 | + | 0.589010i | ||||
\(49\) | 48.5632i | 0.991086i | ||||||||
\(50\) | 44.4599 | − | 22.8762i | 0.889197 | − | 0.457524i | ||||
\(51\) | −14.0530 | − | 4.70003i | −0.275550 | − | 0.0921575i | ||||
\(52\) | −4.15644 | + | 3.57546i | −0.0799315 | + | 0.0687589i | ||||
\(53\) | −42.6234 | + | 83.6531i | −0.804215 | + | 1.57836i | 0.0115198 | + | 0.999934i | \(0.496333\pi\) |
−0.815734 | + | 0.578427i | \(0.803667\pi\) | |||||||
\(54\) | −21.4234 | − | 49.5685i | −0.396730 | − | 0.917935i | ||||
\(55\) | −37.6580 | − | 8.21902i | −0.684691 | − | 0.149437i | ||||
\(56\) | −5.09633 | − | 1.40814i | −0.0910060 | − | 0.0251454i | ||||
\(57\) | 42.8786 | + | 85.9729i | 0.752255 | + | 1.50830i | ||||
\(58\) | 0.840753 | − | 22.4098i | 0.0144957 | − | 0.386376i | ||||
\(59\) | −27.7933 | − | 38.2541i | −0.471072 | − | 0.648375i | 0.505686 | − | 0.862717i | \(-0.331239\pi\) |
−0.976759 | + | 0.214342i | \(0.931239\pi\) | |||||||
\(60\) | 53.0267 | − | 28.0743i | 0.883779 | − | 0.467905i | ||||
\(61\) | −31.8550 | − | 23.1440i | −0.522214 | − | 0.379410i | 0.295223 | − | 0.955428i | \(-0.404606\pi\) |
−0.817437 | + | 0.576018i | \(0.804606\pi\) | |||||||
\(62\) | 5.70332 | + | 4.47978i | 0.0919890 | + | 0.0722546i | ||||
\(63\) | 4.13309 | + | 4.27770i | 0.0656046 | + | 0.0679000i | ||||
\(64\) | −32.8584 | + | 54.9211i | −0.513413 | + | 0.858142i | ||||
\(65\) | 1.73771 | + | 6.62940i | 0.0267340 | + | 0.101991i | ||||
\(66\) | −45.3020 | − | 9.33301i | −0.686394 | − | 0.141409i | ||||
\(67\) | 6.11543 | + | 12.0022i | 0.0912751 | + | 0.179137i | 0.932131 | − | 0.362122i | \(-0.117948\pi\) |
−0.840856 | + | 0.541260i | \(0.817948\pi\) | |||||||
\(68\) | 4.54426 | − | 19.2279i | 0.0668274 | − | 0.282763i | ||||
\(69\) | −32.8613 | + | 44.4217i | −0.476251 | + | 0.643792i | ||||
\(70\) | −4.37592 | + | 4.95295i | −0.0625132 | + | 0.0707564i | ||||
\(71\) | −15.7988 | − | 48.6239i | −0.222519 | − | 0.684843i | −0.998534 | − | 0.0541285i | \(-0.982762\pi\) |
0.776015 | − | 0.630714i | \(-0.217238\pi\) | |||||||
\(72\) | 63.2332 | − | 34.4319i | 0.878239 | − | 0.478221i | ||||
\(73\) | −80.9566 | + | 12.8223i | −1.10900 | + | 0.175648i | −0.683953 | − | 0.729526i | \(-0.739741\pi\) |
−0.425042 | + | 0.905174i | \(0.639741\pi\) | |||||||
\(74\) | 77.3019 | + | 43.1116i | 1.04462 | + | 0.582589i | ||||
\(75\) | −2.46511 | − | 74.9595i | −0.0328682 | − | 0.999460i | ||||
\(76\) | −108.983 | + | 67.3165i | −1.43398 | + | 0.885744i | ||||
\(77\) | 5.03217 | − | 0.797018i | 0.0653529 | − | 0.0103509i | ||||
\(78\) | 2.17826 | + | 7.93032i | 0.0279264 | + | 0.101671i | ||||
\(79\) | 7.54896 | + | 23.2333i | 0.0955565 | + | 0.294093i | 0.987398 | − | 0.158255i | \(-0.0505867\pi\) |
−0.891842 | + | 0.452347i | \(0.850587\pi\) | |||||||
\(80\) | 43.6808 | + | 67.0223i | 0.546010 | + | 0.837778i | ||||
\(81\) | −80.9521 | − | 2.78446i | −0.999409 | − | 0.0343760i | ||||
\(82\) | −8.95475 | − | 31.5373i | −0.109204 | − | 0.384602i | ||||
\(83\) | −43.6127 | − | 85.5947i | −0.525454 | − | 1.03126i | −0.989375 | − | 0.145385i | \(-0.953558\pi\) |
0.463921 | − | 0.885876i | \(-0.346442\pi\) | |||||||
\(84\) | −5.18115 | + | 6.00462i | −0.0616804 | + | 0.0714836i | ||||
\(85\) | −19.1082 | − | 15.6466i | −0.224803 | − | 0.184077i | ||||
\(86\) | 20.4828 | + | 44.2245i | 0.238172 | + | 0.514238i | ||||
\(87\) | −29.8396 | − | 15.5286i | −0.342984 | − | 0.178489i | ||||
\(88\) | 6.92331 | − | 61.2813i | 0.0786740 | − | 0.696379i | ||||
\(89\) | 131.861 | + | 95.8029i | 1.48159 | + | 1.07644i | 0.977040 | + | 0.213054i | \(0.0683410\pi\) |
0.504548 | + | 0.863383i | \(0.331659\pi\) | |||||||
\(90\) | −4.01120 | − | 89.9106i | −0.0445689 | − | 0.999006i | ||||
\(91\) | −0.532471 | − | 0.732884i | −0.00585133 | − | 0.00805367i | ||||
\(92\) | −62.9531 | − | 38.2718i | −0.684273 | − | 0.415998i | ||||
\(93\) | 9.73490 | − | 4.85524i | 0.104676 | − | 0.0522068i | ||||
\(94\) | 65.1759 | − | 60.4623i | 0.693361 | − | 0.643216i | ||||
\(95\) | 15.8698 | + | 159.332i | 0.167051 | + | 1.67718i | ||||
\(96\) | 53.3551 | + | 79.8074i | 0.555783 | + | 0.831328i | ||||
\(97\) | −66.3279 | + | 130.176i | −0.683793 | + | 1.34202i | 0.244311 | + | 0.969697i | \(0.421438\pi\) |
−0.928104 | + | 0.372322i | \(0.878562\pi\) | |||||||
\(98\) | −33.4557 | + | 91.1825i | −0.341385 | + | 0.930434i | ||||
\(99\) | −41.7395 | + | 55.4203i | −0.421611 | + | 0.559801i | ||||
\(100\) | 99.2377 | − | 12.3236i | 0.992377 | − | 0.123236i | ||||
\(101\) | − | 95.3699i | − | 0.944257i | −0.881530 | − | 0.472128i | \(-0.843486\pi\) | ||
0.881530 | − | 0.472128i | \(-0.156514\pi\) | |||||||
\(102\) | −23.1482 | − | 18.5061i | −0.226943 | − | 0.181432i | ||||
\(103\) | 43.8899 | − | 86.1388i | 0.426116 | − | 0.836299i | −0.573735 | − | 0.819041i | \(-0.694506\pi\) |
0.999851 | − | 0.0172585i | \(-0.00549382\pi\) | |||||||
\(104\) | −10.2673 | + | 3.84989i | −0.0987243 | + | 0.0370182i | ||||
\(105\) | 3.90470 | + | 9.11231i | 0.0371876 | + | 0.0867840i | ||||
\(106\) | −137.659 | + | 127.704i | −1.29867 | + | 1.20475i | ||||
\(107\) | −28.1689 | − | 28.1689i | −0.263261 | − | 0.263261i | 0.563117 | − | 0.826377i | \(-0.309602\pi\) |
−0.826377 | + | 0.563117i | \(0.809602\pi\) | |||||||
\(108\) | −6.07647 | − | 107.829i | −0.0562636 | − | 0.998416i | ||||
\(109\) | −90.3070 | − | 124.297i | −0.828505 | − | 1.14034i | −0.988199 | − | 0.153172i | \(-0.951051\pi\) |
0.159695 | − | 0.987166i | \(-0.448949\pi\) | |||||||
\(110\) | −65.0447 | − | 41.3751i | −0.591315 | − | 0.376137i | ||||
\(111\) | 108.077 | − | 77.1120i | 0.973668 | − | 0.694703i | ||||
\(112\) | −8.59882 | − | 6.15485i | −0.0767752 | − | 0.0549540i | ||||
\(113\) | 156.720 | + | 24.8220i | 1.38690 | + | 0.219664i | 0.804845 | − | 0.593485i | \(-0.202248\pi\) |
0.582056 | + | 0.813149i | \(0.302248\pi\) | |||||||
\(114\) | 21.2813 | + | 190.963i | 0.186678 | + | 1.67511i | ||||
\(115\) | −77.5070 | + | 49.7357i | −0.673974 | + | 0.432485i | ||||
\(116\) | 17.0170 | − | 41.4975i | 0.146698 | − | 0.357737i | ||||
\(117\) | 12.1492 | + | 2.13895i | 0.103839 | + | 0.0182816i | ||||
\(118\) | −25.8311 | − | 90.9733i | −0.218907 | − | 0.770960i | ||||
\(119\) | 3.10473 | + | 1.00879i | 0.0260901 | + | 0.00847720i | ||||
\(120\) | 118.904 | − | 16.1817i | 0.990866 | − | 0.134848i | ||||
\(121\) | −19.0271 | − | 58.5593i | −0.157249 | − | 0.483961i | ||||
\(122\) | −43.8670 | − | 65.4007i | −0.359565 | − | 0.536071i | ||||
\(123\) | −48.5027 | − | 8.11003i | −0.394331 | − | 0.0659352i | ||||
\(124\) | 7.62240 | + | 12.3403i | 0.0614710 | + | 0.0995189i | ||||
\(125\) | 40.5638 | − | 118.235i | 0.324511 | − | 0.945882i | ||||
\(126\) | 4.81336 | + | 10.8792i | 0.0382013 | + | 0.0863426i | ||||
\(127\) | −242.197 | + | 38.3602i | −1.90706 | + | 0.302049i | −0.994315 | − | 0.106474i | \(-0.966044\pi\) |
−0.912748 | + | 0.408524i | \(0.866044\pi\) | |||||||
\(128\) | −99.5309 | + | 80.4836i | −0.777585 | + | 0.628778i | ||||
\(129\) | 73.1036 | + | 0.628392i | 0.566695 | + | 0.00487125i | ||||
\(130\) | −1.30434 | + | 13.6445i | −0.0100334 | + | 0.104958i | ||||
\(131\) | 55.0771 | − | 169.510i | 0.420436 | − | 1.29397i | −0.486861 | − | 0.873479i | \(-0.661858\pi\) |
0.907297 | − | 0.420490i | \(-0.138142\pi\) | |||||||
\(132\) | −78.6296 | − | 48.7328i | −0.595679 | − | 0.369188i | ||||
\(133\) | −9.60877 | − | 18.8583i | −0.0722464 | − | 0.141791i | ||||
\(134\) | 3.21391 | + | 26.7484i | 0.0239844 | + | 0.199615i | ||||
\(135\) | −124.461 | − | 52.2917i | −0.921934 | − | 0.387346i | ||||
\(136\) | 21.7786 | − | 32.9718i | 0.160137 | − | 0.242439i | ||||
\(137\) | 23.5818 | − | 148.890i | 0.172130 | − | 1.08679i | −0.738709 | − | 0.674024i | \(-0.764564\pi\) |
0.910839 | − | 0.412762i | \(-0.135436\pi\) | |||||||
\(138\) | −92.3032 | + | 60.7678i | −0.668863 | + | 0.440347i | ||||
\(139\) | 189.529 | + | 137.701i | 1.36352 | + | 0.990654i | 0.998212 | + | 0.0597658i | \(0.0190354\pi\) |
0.365305 | + | 0.930888i | \(0.380965\pi\) | |||||||
\(140\) | −11.6284 | + | 6.28506i | −0.0830600 | + | 0.0448933i | ||||
\(141\) | −40.1168 | − | 127.176i | −0.284516 | − | 0.901958i | ||||
\(142\) | 3.83352 | − | 102.180i | 0.0269967 | − | 0.719580i | ||||
\(143\) | 7.47156 | − | 7.47156i | 0.0522487 | − | 0.0522487i | ||||
\(144\) | 142.448 | − | 21.0875i | 0.989219 | − | 0.146441i | ||||
\(145\) | −37.2867 | − | 41.8673i | −0.257149 | − | 0.288740i | ||||
\(146\) | −160.838 | − | 31.6968i | −1.10163 | − | 0.217101i | ||||
\(147\) | 102.129 | + | 103.900i | 0.694754 | + | 0.706801i | ||||
\(148\) | 115.442 | + | 134.201i | 0.780016 | + | 0.906761i | ||||
\(149\) | −68.4544 | −0.459425 | −0.229713 | − | 0.973259i | \(-0.573779\pi\) | ||||
−0.229713 | + | 0.973259i | \(0.573779\pi\) | |||||||
\(150\) | 47.0119 | − | 142.443i | 0.313413 | − | 0.949617i | ||||
\(151\) | 93.2632i | 0.617637i | 0.951121 | + | 0.308818i | \(0.0999336\pi\) | ||||
−0.951121 | + | 0.308818i | \(0.900066\pi\) | |||||||
\(152\) | −251.001 | + | 51.3145i | −1.65133 | + | 0.337596i | ||||
\(153\) | −39.9504 | + | 19.4980i | −0.261113 | + | 0.127438i | ||||
\(154\) | 9.99751 | + | 1.97024i | 0.0649189 | + | 0.0127937i | ||||
\(155\) | 18.0416 | − | 1.79698i | 0.116397 | − | 0.0115934i | ||||
\(156\) | −1.37338 | + | 16.3906i | −0.00880369 | + | 0.105068i | ||||
\(157\) | 73.0390 | + | 73.0390i | 0.465217 | + | 0.465217i | 0.900361 | − | 0.435144i | \(-0.143303\pi\) |
−0.435144 | + | 0.900361i | \(0.643303\pi\) | |||||||
\(158\) | −1.83172 | + | 48.8236i | −0.0115932 | + | 0.309010i | ||||
\(159\) | 84.7314 | + | 268.611i | 0.532902 | + | 1.68938i | ||||
\(160\) | 35.8430 | + | 155.934i | 0.224018 | + | 0.974585i | ||||
\(161\) | 7.15509 | − | 9.84813i | 0.0444415 | − | 0.0611685i | ||||
\(162\) | −150.078 | − | 60.9969i | −0.926407 | − | 0.376524i | ||||
\(163\) | 54.6573 | + | 8.65687i | 0.335321 | + | 0.0531096i | 0.321825 | − | 0.946799i | \(-0.395704\pi\) |
0.0134964 | + | 0.999909i | \(0.495704\pi\) | |||||||
\(164\) | 4.91294 | − | 65.3837i | 0.0299570 | − | 0.398681i | ||||
\(165\) | −97.8530 | + | 61.6107i | −0.593049 | + | 0.373398i | ||||
\(166\) | −22.9202 | − | 190.758i | −0.138074 | − | 1.14915i | ||||
\(167\) | −30.1154 | + | 15.3445i | −0.180331 | + | 0.0918835i | −0.541826 | − | 0.840491i | \(-0.682267\pi\) |
0.361494 | + | 0.932374i | \(0.382267\pi\) | |||||||
\(168\) | −13.8648 | + | 7.70495i | −0.0825286 | + | 0.0458628i | ||||
\(169\) | 158.942 | + | 51.6433i | 0.940484 | + | 0.305582i | ||||
\(170\) | −25.0986 | − | 42.5420i | −0.147639 | − | 0.250247i | ||||
\(171\) | 272.539 | + | 93.7630i | 1.59380 | + | 0.548322i | ||||
\(172\) | 7.99181 | + | 97.1469i | 0.0464640 | + | 0.564808i | ||||
\(173\) | 36.1098 | + | 227.989i | 0.208727 | + | 1.31785i | 0.840125 | + | 0.542393i | \(0.182482\pi\) |
−0.631397 | + | 0.775459i | \(0.717518\pi\) | |||||||
\(174\) | −45.3292 | − | 49.7133i | −0.260513 | − | 0.285709i | ||||
\(175\) | 0.685000 | + | 16.5086i | 0.00391429 | + | 0.0943348i | ||||
\(176\) | 55.2167 | − | 110.293i | 0.313731 | − | 0.626662i | ||||
\(177\) | −139.912 | − | 23.3944i | −0.790462 | − | 0.132172i | ||||
\(178\) | 181.584 | + | 270.721i | 1.02013 | + | 1.52090i | ||||
\(179\) | 138.981 | − | 45.1578i | 0.776432 | − | 0.252278i | 0.106116 | − | 0.994354i | \(-0.466158\pi\) |
0.670316 | + | 0.742076i | \(0.266158\pi\) | |||||||
\(180\) | 54.4090 | − | 171.580i | 0.302272 | − | 0.953222i | ||||
\(181\) | 14.7080 | − | 45.2666i | 0.0812597 | − | 0.250092i | −0.902170 | − | 0.431380i | \(-0.858027\pi\) |
0.983430 | + | 0.181288i | \(0.0580268\pi\) | |||||||
\(182\) | −0.494879 | − | 1.74289i | −0.00271911 | − | 0.00957633i | ||||
\(183\) | −116.825 | + | 17.4753i | −0.638389 | + | 0.0954933i | ||||
\(184\) | −91.8352 | − | 115.228i | −0.499104 | − | 0.626241i | ||||
\(185\) | 214.046 | − | 56.1061i | 1.15701 | − | 0.303276i | ||||
\(186\) | 21.6231 | − | 2.40973i | 0.116253 | − | 0.0129555i | ||||
\(187\) | −5.95659 | + | 37.6085i | −0.0318534 | + | 0.201115i | ||||
\(188\) | 164.028 | − | 68.6240i | 0.872489 | − | 0.365021i | ||||
\(189\) | 17.8387 | + | 0.460109i | 0.0943846 | + | 0.00243444i | ||||
\(190\) | −79.9685 | + | 310.096i | −0.420887 | + | 1.63208i | ||||
\(191\) | 46.2390 | − | 33.5946i | 0.242089 | − | 0.175888i | −0.460125 | − | 0.887854i | \(-0.652195\pi\) |
0.702213 | + | 0.711967i | \(0.252195\pi\) | |||||||
\(192\) | 45.1997 | + | 186.604i | 0.235415 | + | 0.971895i | ||||
\(193\) | −33.4646 | + | 33.4646i | −0.173392 | + | 0.173392i | −0.788468 | − | 0.615076i | \(-0.789125\pi\) |
0.615076 | + | 0.788468i | \(0.289125\pi\) | |||||||
\(194\) | −214.217 | + | 198.725i | −1.10421 | + | 1.02435i | ||||
\(195\) | 17.6595 | + | 10.5290i | 0.0905614 | + | 0.0539950i | ||||
\(196\) | −125.633 | + | 148.157i | −0.640986 | + | 0.755902i | ||||
\(197\) | −30.1558 | − | 15.3652i | −0.153075 | − | 0.0779958i | 0.375775 | − | 0.926711i | \(-0.377377\pi\) |
−0.528850 | + | 0.848715i | \(0.677377\pi\) | |||||||
\(198\) | −116.550 | + | 75.3027i | −0.588636 | + | 0.380317i | ||||
\(199\) | 255.855 | 1.28570 | 0.642851 | − | 0.765991i | \(-0.277751\pi\) | ||||
0.642851 | + | 0.765991i | \(0.277751\pi\) | |||||||
\(200\) | 194.819 | + | 45.2271i | 0.974096 | + | 0.226136i | ||||
\(201\) | 38.3246 | + | 12.8176i | 0.190669 | + | 0.0637693i | ||||
\(202\) | 65.7014 | − | 179.067i | 0.325255 | − | 0.886471i | ||||
\(203\) | 6.60295 | + | 3.36437i | 0.0325268 | + | 0.0165732i | ||||
\(204\) | −30.7140 | − | 50.6942i | −0.150559 | − | 0.248501i | ||||
\(205\) | −70.7553 | − | 41.3659i | −0.345148 | − | 0.201785i | ||||
\(206\) | 141.750 | − | 131.498i | 0.688107 | − | 0.638342i | ||||
\(207\) | 23.1132 | + | 164.147i | 0.111658 | + | 0.792979i | ||||
\(208\) | −21.9302 | + | 0.155293i | −0.105434 | + | 0.000746600i | ||||
\(209\) | 199.723 | − | 145.107i | 0.955611 | − | 0.694292i | ||||
\(210\) | 1.05391 | + | 19.7993i | 0.00501862 | + | 0.0942825i | ||||
\(211\) | 120.893 | − | 166.395i | 0.572951 | − | 0.788600i | −0.419949 | − | 0.907548i | \(-0.637952\pi\) |
0.992901 | + | 0.118948i | \(0.0379521\pi\) | |||||||
\(212\) | −346.447 | + | 144.942i | −1.63418 | + | 0.683689i | ||||
\(213\) | −136.058 | − | 70.8045i | −0.638768 | − | 0.332415i | ||||
\(214\) | −33.4842 | − | 72.2960i | −0.156468 | − | 0.337832i | ||||
\(215\) | 113.512 | + | 44.2837i | 0.527961 | + | 0.205971i | ||||
\(216\) | 62.8754 | − | 206.646i | 0.291090 | − | 0.956696i | ||||
\(217\) | −2.13536 | + | 1.08802i | −0.00984039 | + | 0.00501393i | ||||
\(218\) | −83.9313 | − | 295.594i | −0.385006 | − | 1.35594i | ||||
\(219\) | −146.239 | + | 197.685i | −0.667760 | + | 0.902673i | ||||
\(220\) | −93.6245 | − | 122.496i | −0.425566 | − | 0.556800i | ||||
\(221\) | 6.43893 | − | 2.09213i | 0.0291354 | − | 0.00946667i | ||||
\(222\) | 256.049 | − | 70.3304i | 1.15338 | − | 0.316803i | ||||
\(223\) | −65.8389 | − | 415.690i | −0.295242 | − | 1.86408i | −0.474465 | − | 0.880274i | \(-0.657358\pi\) |
0.179223 | − | 0.983808i | \(-0.442642\pi\) | |||||||
\(224\) | −11.9050 | − | 17.4802i | −0.0531475 | − | 0.0780366i | ||||
\(225\) | −162.914 | − | 155.190i | −0.724064 | − | 0.689733i | ||||
\(226\) | 277.158 | + | 154.572i | 1.22636 | + | 0.683946i | ||||
\(227\) | 30.6962 | + | 193.808i | 0.135226 | + | 0.853781i | 0.958283 | + | 0.285822i | \(0.0922667\pi\) |
−0.823057 | + | 0.567959i | \(0.807733\pi\) | |||||||
\(228\) | −91.5984 | + | 373.213i | −0.401748 | + | 1.63690i | ||||
\(229\) | 345.752 | − | 112.342i | 1.50984 | − | 0.490575i | 0.566967 | − | 0.823740i | \(-0.308117\pi\) |
0.942869 | + | 0.333165i | \(0.108117\pi\) | |||||||
\(230\) | −179.791 | + | 39.9886i | −0.781700 | + | 0.173864i | ||||
\(231\) | 9.09008 | − | 12.2879i | 0.0393510 | − | 0.0531944i | ||||
\(232\) | 60.5393 | − | 66.1928i | 0.260945 | − | 0.285314i | ||||
\(233\) | 76.4513 | − | 38.9539i | 0.328117 | − | 0.167184i | −0.282170 | − | 0.959364i | \(-0.591054\pi\) |
0.610287 | + | 0.792180i | \(0.291054\pi\) | |||||||
\(234\) | 21.3379 | + | 12.3858i | 0.0911875 | + | 0.0529309i | ||||
\(235\) | 12.8403 | − | 221.884i | 0.0546396 | − | 0.944188i | ||||
\(236\) | 14.1720 | − | 188.607i | 0.0600508 | − | 0.799183i | ||||
\(237\) | 65.0107 | + | 33.8316i | 0.274307 | + | 0.142749i | ||||
\(238\) | 5.13448 | + | 4.03298i | 0.0215735 | + | 0.0169453i | ||||
\(239\) | −102.778 | + | 141.461i | −0.430033 | + | 0.591889i | −0.967961 | − | 0.251102i | \(-0.919207\pi\) |
0.537928 | + | 0.842991i | \(0.319207\pi\) | |||||||
\(240\) | 234.402 | + | 51.5314i | 0.976677 | + | 0.214714i | ||||
\(241\) | 222.607 | − | 161.733i | 0.923679 | − | 0.671092i | −0.0207583 | − | 0.999785i | \(-0.506608\pi\) |
0.944437 | + | 0.328693i | \(0.106608\pi\) | |||||||
\(242\) | 4.61684 | − | 123.059i | 0.0190779 | − | 0.508509i | ||||
\(243\) | −179.051 | + | 164.286i | −0.736835 | + | 0.676073i | ||||
\(244\) | −37.3096 | − | 153.017i | −0.152908 | − | 0.627119i | ||||
\(245\) | 97.5529 | + | 222.358i | 0.398175 | + | 0.907583i | ||||
\(246\) | −85.4818 | − | 48.6415i | −0.347487 | − | 0.197730i | ||||
\(247\) | −39.1104 | − | 19.9277i | −0.158342 | − | 0.0806791i | ||||
\(248\) | 5.81046 | + | 28.4215i | 0.0234293 | + | 0.114603i | ||||
\(249\) | −273.315 | − | 91.4100i | −1.09765 | − | 0.367108i | ||||
\(250\) | 157.616 | − | 194.054i | 0.630466 | − | 0.776217i | ||||
\(251\) | 318.893 | 1.27049 | 0.635246 | − | 0.772310i | \(-0.280899\pi\) | ||||
0.635246 | + | 0.772310i | \(0.280899\pi\) | |||||||
\(252\) | 1.54281 | + | 23.7427i | 0.00612226 | + | 0.0942173i | ||||
\(253\) | 126.510 | + | 64.4602i | 0.500041 | + | 0.254784i | ||||
\(254\) | −481.177 | − | 94.8269i | −1.89440 | − | 0.373334i | ||||
\(255\) | −73.7865 | + | 6.70928i | −0.289359 | + | 0.0263109i | ||||
\(256\) | −242.326 | + | 82.5484i | −0.946585 | + | 0.322455i | ||||
\(257\) | −144.850 | + | 144.850i | −0.563617 | + | 0.563617i | −0.930333 | − | 0.366716i | \(-0.880482\pi\) |
0.366716 | + | 0.930333i | \(0.380482\pi\) | |||||||
\(258\) | 136.827 | + | 51.5418i | 0.530337 | + | 0.199774i | ||||
\(259\) | −23.6629 | + | 17.1921i | −0.0913626 | + | 0.0663788i | ||||
\(260\) | −11.8489 | + | 24.7205i | −0.0455727 | + | 0.0950787i | ||||
\(261\) | −96.4978 | + | 29.5300i | −0.369723 | + | 0.113142i | ||||
\(262\) | 220.190 | − | 280.330i | 0.840422 | − | 1.06996i | ||||
\(263\) | −20.1060 | + | 126.944i | −0.0764486 | + | 0.482677i | 0.919525 | + | 0.393031i | \(0.128574\pi\) |
−0.995974 | + | 0.0896461i | \(0.971426\pi\) | |||||||
\(264\) | −114.063 | − | 145.670i | −0.432056 | − | 0.551779i | ||||
\(265\) | −27.1203 | + | 468.646i | −0.102341 | + | 1.76848i | ||||
\(266\) | −5.04980 | − | 42.0280i | −0.0189842 | − | 0.158000i | ||||
\(267\) | 483.589 | − | 72.3375i | 1.81119 | − | 0.270927i | ||||
\(268\) | −12.3928 | + | 52.4370i | −0.0462419 | + | 0.195661i | ||||
\(269\) | 114.223 | − | 351.543i | 0.424622 | − | 1.30685i | −0.478734 | − | 0.877960i | \(-0.658904\pi\) |
0.903356 | − | 0.428891i | \(-0.141096\pi\) | |||||||
\(270\) | −197.665 | − | 183.926i | −0.732091 | − | 0.681207i | ||||
\(271\) | −191.655 | + | 62.2724i | −0.707213 | + | 0.229788i | −0.640471 | − | 0.767983i | \(-0.721261\pi\) |
−0.0667428 | + | 0.997770i | \(0.521261\pi\) | |||||||
\(272\) | 63.6063 | − | 46.9044i | 0.233847 | − | 0.172443i | ||||
\(273\) | −2.68047 | − | 0.448196i | −0.00981857 | − | 0.00164174i | ||||
\(274\) | 146.849 | − | 263.310i | 0.535946 | − | 0.960986i | ||||
\(275\) | −188.936 | + | 38.0140i | −0.687041 | + | 0.138233i | ||||
\(276\) | −215.173 | + | 50.5093i | −0.779611 | + | 0.183005i | ||||
\(277\) | −44.3833 | − | 280.225i | −0.160229 | − | 1.01164i | −0.928450 | − | 0.371459i | \(-0.878858\pi\) |
0.768221 | − | 0.640185i | \(-0.221142\pi\) | |||||||
\(278\) | 260.997 | + | 389.116i | 0.938838 | + | 1.39970i | ||||
\(279\) | 10.6170 | − | 30.8602i | 0.0380537 | − | 0.110610i | ||||
\(280\) | −26.1634 | + | 3.78993i | −0.0934407 | + | 0.0135355i | ||||
\(281\) | 289.136 | + | 93.9459i | 1.02895 | + | 0.334327i | 0.774376 | − | 0.632725i | \(-0.218064\pi\) |
0.254577 | + | 0.967053i | \(0.418064\pi\) | |||||||
\(282\) | 12.2896 | − | 266.423i | 0.0435800 | − | 0.944763i | ||||
\(283\) | 438.632 | − | 223.494i | 1.54993 | − | 0.789731i | 0.550939 | − | 0.834545i | \(-0.314270\pi\) |
0.998995 | + | 0.0448142i | \(0.0142696\pi\) | |||||||
\(284\) | 77.5911 | − | 189.213i | 0.273208 | − | 0.666245i | ||||
\(285\) | 369.030 | + | 307.513i | 1.29484 | + | 1.07899i | ||||
\(286\) | 19.1759 | − | 8.88139i | 0.0670485 | − | 0.0310538i | ||||
\(287\) | 10.7003 | + | 1.69476i | 0.0372832 | + | 0.00590508i | ||||
\(288\) | 281.988 | + | 58.5398i | 0.979124 | + | 0.203263i | ||||
\(289\) | 155.529 | − | 214.068i | 0.538164 | − | 0.740719i | ||||
\(290\) | −41.1668 | − | 104.297i | −0.141955 | − | 0.359646i | ||||
\(291\) | 131.854 | + | 417.996i | 0.453106 | + | 1.43641i | ||||
\(292\) | −280.154 | − | 170.317i | −0.959432 | − | 0.583278i | ||||
\(293\) | −267.729 | − | 267.729i | −0.913752 | − | 0.913752i | 0.0828127 | − | 0.996565i | \(-0.473610\pi\) |
−0.996565 | + | 0.0828127i | \(0.973610\pi\) | |||||||
\(294\) | 120.180 | + | 265.440i | 0.408775 | + | 0.902859i | ||||
\(295\) | −204.102 | − | 119.325i | −0.691872 | − | 0.404491i | ||||
\(296\) | 124.303 | + | 331.505i | 0.419942 | + | 1.11995i | ||||
\(297\) | 27.2488 | + | 206.349i | 0.0917469 | + | 0.694777i | ||||
\(298\) | −128.530 | − | 47.1590i | −0.431310 | − | 0.158252i | ||||
\(299\) | − | 25.2457i | − | 0.0844337i | ||||||
\(300\) | 186.400 | − | 235.064i | 0.621334 | − | 0.783546i | ||||
\(301\) | −16.1056 | −0.0535070 | ||||||||
\(302\) | −64.2501 | + | 175.111i | −0.212749 | + | 0.579839i | ||||
\(303\) | −200.564 | − | 204.042i | −0.661927 | − | 0.673405i | ||||
\(304\) | −506.633 | − | 76.5693i | −1.66656 | − | 0.251873i | ||||
\(305\) | −192.347 | − | 41.9806i | −0.630646 | − | 0.137641i | ||||
\(306\) | −88.4434 | + | 9.08738i | −0.289031 | + | 0.0296973i | ||||
\(307\) | −346.076 | + | 346.076i | −1.12728 | + | 1.12728i | −0.136665 | + | 0.990617i | \(0.543638\pi\) |
−0.990617 | + | 0.136665i | \(0.956362\pi\) | |||||||
\(308\) | 17.4141 | + | 10.5867i | 0.0565391 | + | 0.0343725i | ||||
\(309\) | −87.2492 | − | 276.593i | −0.282360 | − | 0.895122i | ||||
\(310\) | 35.1129 | + | 9.05502i | 0.113267 | + | 0.0292097i | ||||
\(311\) | −380.359 | − | 276.347i | −1.22302 | − | 0.888576i | −0.226672 | − | 0.973971i | \(-0.572785\pi\) |
−0.996347 | + | 0.0853955i | \(0.972785\pi\) | |||||||
\(312\) | −13.8704 | + | 29.8290i | −0.0444563 | + | 0.0956058i | ||||
\(313\) | −45.6553 | + | 288.256i | −0.145864 | + | 0.920947i | 0.800849 | + | 0.598867i | \(0.204382\pi\) |
−0.946712 | + | 0.322080i | \(0.895618\pi\) | |||||||
\(314\) | 86.8210 | + | 187.456i | 0.276500 | + | 0.596993i | ||||
\(315\) | 27.5173 | + | 11.2840i | 0.0873565 | + | 0.0358221i | ||||
\(316\) | −37.0744 | + | 90.4095i | −0.117324 | + | 0.286106i | ||||
\(317\) | 78.5226 | + | 154.109i | 0.247705 | + | 0.486149i | 0.981062 | − | 0.193695i | \(-0.0620473\pi\) |
−0.733356 | + | 0.679844i | \(0.762047\pi\) | |||||||
\(318\) | −25.9571 | + | 562.718i | −0.0816260 | + | 1.76955i | ||||
\(319\) | −26.7109 | + | 82.2076i | −0.0837331 | + | 0.257704i | ||||
\(320\) | −40.1255 | + | 317.474i | −0.125392 | + | 0.992107i | ||||
\(321\) | −119.506 | − | 1.02726i | −0.372293 | − | 0.00320020i | ||||
\(322\) | 20.2189 | − | 13.5617i | 0.0627917 | − | 0.0421170i | ||||
\(323\) | 156.232 | − | 24.7448i | 0.483691 | − | 0.0766092i | ||||
\(324\) | −239.766 | − | 217.919i | −0.740017 | − | 0.672588i | ||||
\(325\) | 21.2735 | + | 26.8636i | 0.0654570 | + | 0.0826572i | ||||
\(326\) | 96.6611 | + | 53.9083i | 0.296506 | + | 0.165363i | ||||
\(327\) | −454.607 | − | 76.0139i | −1.39024 | − | 0.232459i | ||||
\(328\) | 54.2681 | − | 119.380i | 0.165452 | − | 0.363964i | ||||
\(329\) | 9.07838 | + | 27.9404i | 0.0275939 | + | 0.0849251i | ||||
\(330\) | −226.174 | + | 48.2685i | −0.685375 | + | 0.146268i | ||||
\(331\) | 389.688 | + | 126.617i | 1.17731 | + | 0.382530i | 0.831365 | − | 0.555726i | \(-0.187560\pi\) |
0.345941 | + | 0.938256i | \(0.387560\pi\) | |||||||
\(332\) | 88.3804 | − | 373.959i | 0.266206 | − | 1.12638i | ||||
\(333\) | 69.0612 | − | 392.266i | 0.207391 | − | 1.17798i | ||||
\(334\) | −67.1158 | + | 8.06418i | −0.200945 | + | 0.0241443i | ||||
\(335\) | 52.1107 | + | 42.6703i | 0.155554 | + | 0.127374i | ||||
\(336\) | −31.3407 | + | 4.91523i | −0.0932758 | + | 0.0146287i | ||||
\(337\) | −332.163 | − | 52.6095i | −0.985647 | − | 0.156111i | −0.357254 | − | 0.934007i | \(-0.616287\pi\) |
−0.628393 | + | 0.777896i | \(0.716287\pi\) | |||||||
\(338\) | 262.852 | + | 206.463i | 0.777669 | + | 0.610836i | ||||
\(339\) | 387.499 | − | 276.477i | 1.14307 | − | 0.815566i | ||||
\(340\) | −17.8176 | − | 97.1677i | −0.0524048 | − | 0.285787i | ||||
\(341\) | −16.4308 | − | 22.6150i | −0.0481841 | − | 0.0663198i | ||||
\(342\) | 447.127 | + | 363.805i | 1.30739 | + | 1.06376i | ||||
\(343\) | −45.5947 | − | 45.5947i | −0.132929 | − | 0.132929i | ||||
\(344\) | −51.9201 | + | 187.909i | −0.150931 | + | 0.546248i | ||||
\(345\) | −61.2297 | + | 269.406i | −0.177477 | + | 0.780888i | ||||
\(346\) | −89.2639 | + | 452.949i | −0.257988 | + | 1.30910i | ||||
\(347\) | −217.068 | + | 426.020i | −0.625557 | + | 1.22772i | 0.333028 | + | 0.942917i | \(0.391930\pi\) |
−0.958585 | + | 0.284807i | \(0.908070\pi\) | |||||||
\(348\) | −50.8623 | − | 124.570i | −0.146156 | − | 0.357959i | ||||
\(349\) | 502.182i | 1.43892i | 0.694536 | + | 0.719458i | \(0.255610\pi\) | ||||
−0.694536 | + | 0.719458i | \(0.744390\pi\) | |||||||
\(350\) | −10.0868 | + | 31.4685i | −0.0288194 | + | 0.0899100i | ||||
\(351\) | 30.4912 | − | 20.9736i | 0.0868694 | − | 0.0597540i | ||||
\(352\) | 179.657 | − | 169.047i | 0.510389 | − | 0.480246i | ||||
\(353\) | −101.405 | + | 199.019i | −0.287268 | + | 0.563794i | −0.988871 | − | 0.148773i | \(-0.952468\pi\) |
0.701604 | + | 0.712567i | \(0.252468\pi\) | |||||||
\(354\) | −246.582 | − | 140.312i | −0.696561 | − | 0.396362i | ||||
\(355\) | −170.013 | − | 190.899i | −0.478911 | − | 0.537744i | ||||
\(356\) | 154.440 | + | 633.402i | 0.433821 | + | 1.77922i | ||||
\(357\) | 8.76397 | − | 4.37099i | 0.0245489 | − | 0.0122437i | ||||
\(358\) | 292.062 | + | 10.9574i | 0.815815 | + | 0.0306071i | ||||
\(359\) | −339.480 | − | 467.254i | −0.945627 | − | 1.30154i | −0.953443 | − | 0.301575i | \(-0.902488\pi\) |
0.00781521 | − | 0.999969i | \(-0.497512\pi\) | |||||||
\(360\) | 220.362 | − | 284.676i | 0.612116 | − | 0.790768i | ||||
\(361\) | −537.629 | − | 390.610i | −1.48928 | − | 1.08202i | ||||
\(362\) | 58.8005 | − | 74.8603i | 0.162432 | − | 0.206796i | ||||
\(363\) | −163.859 | − | 85.2722i | −0.451401 | − | 0.234910i | ||||
\(364\) | 0.271511 | − | 3.61339i | 0.000745909 | − | 0.00992689i | ||||
\(365\) | −344.922 | + | 221.334i | −0.944991 | + | 0.606394i | ||||
\(366\) | −231.390 | − | 47.6705i | −0.632214 | − | 0.130247i | ||||
\(367\) | −151.155 | − | 296.659i | −0.411867 | − | 0.808335i | 0.588133 | − | 0.808764i | \(-0.299863\pi\) |
−1.00000 | 0.000429778i | \(0.999863\pi\) | ||||||||
\(368\) | −93.0481 | − | 279.620i | −0.252848 | − | 0.759836i | ||||
\(369\) | −120.826 | + | 84.6503i | −0.327441 | + | 0.229405i | ||||
\(370\) | 440.546 | + | 42.1137i | 1.19067 | + | 0.113821i | ||||
\(371\) | −19.1746 | − | 59.0134i | −0.0516836 | − | 0.159066i | ||||
\(372\) | 42.2598 | + | 10.3719i | 0.113602 | + | 0.0278814i | ||||
\(373\) | −319.394 | + | 50.5871i | −0.856285 | + | 0.135622i | −0.569115 | − | 0.822258i | \(-0.692714\pi\) |
−0.287169 | + | 0.957880i | \(0.592714\pi\) | |||||||
\(374\) | −37.0930 | + | 66.5103i | −0.0991792 | + | 0.177835i | ||||
\(375\) | −161.864 | − | 338.268i | −0.431638 | − | 0.902047i | ||||
\(376\) | 355.255 | − | 15.8480i | 0.944828 | − | 0.0421491i | ||||
\(377\) | 15.1798 | − | 2.40425i | 0.0402648 | − | 0.00637732i | ||||
\(378\) | 33.1770 | + | 13.1532i | 0.0877699 | + | 0.0347968i | ||||
\(379\) | 51.8594 | + | 159.607i | 0.136832 | + | 0.421126i | 0.995871 | − | 0.0907850i | \(-0.0289376\pi\) |
−0.859038 | + | 0.511911i | \(0.828938\pi\) | |||||||
\(380\) | −363.778 | + | 527.147i | −0.957311 | + | 1.38723i | ||||
\(381\) | −437.503 | + | 591.413i | −1.14830 | + | 1.55227i | ||||
\(382\) | 109.962 | − | 31.2228i | 0.287859 | − | 0.0817351i | ||||
\(383\) | 81.7196 | + | 160.384i | 0.213367 | + | 0.418756i | 0.972740 | − | 0.231899i | \(-0.0744940\pi\) |
−0.759373 | + | 0.650656i | \(0.774494\pi\) | |||||||
\(384\) | −43.6864 | + | 381.507i | −0.113767 | + | 0.993507i | ||||
\(385\) | 21.4399 | − | 13.7579i | 0.0556882 | − | 0.0357347i | ||||
\(386\) | −85.8874 | + | 39.7791i | −0.222506 | + | 0.103055i | ||||
\(387\) | 157.725 | − | 152.393i | 0.407558 | − | 0.393781i | ||||
\(388\) | −539.119 | + | 225.550i | −1.38948 | + | 0.581314i | ||||
\(389\) | −17.2071 | − | 12.5017i | −0.0442341 | − | 0.0321380i | 0.565448 | − | 0.824784i | \(-0.308703\pi\) |
−0.609683 | + | 0.792646i | \(0.708703\pi\) | |||||||
\(390\) | 25.9040 | + | 31.9352i | 0.0664204 | + | 0.0818851i | ||||
\(391\) | 53.4743 | + | 73.6010i | 0.136763 | + | 0.188238i | ||||
\(392\) | −337.957 | + | 191.630i | −0.862134 | + | 0.488851i | ||||
\(393\) | −238.645 | − | 478.490i | −0.607238 | − | 1.21753i | ||||
\(394\) | −46.0355 | − | 49.6244i | −0.116841 | − | 0.125950i | ||||
\(395\) | 81.2353 | + | 91.2149i | 0.205659 | + | 0.230924i | ||||
\(396\) | −270.712 | + | 61.0962i | −0.683615 | + | 0.154283i | ||||
\(397\) | 2.45629 | − | 4.82074i | 0.00618713 | − | 0.0121429i | −0.887892 | − | 0.460051i | \(-0.847831\pi\) |
0.894079 | + | 0.447908i | \(0.147831\pi\) | |||||||
\(398\) | 480.394 | + | 176.261i | 1.20702 | + | 0.442867i | ||||
\(399\) | −60.2168 | − | 20.1395i | −0.150919 | − | 0.0504749i | ||||
\(400\) | 334.636 | + | 219.132i | 0.836590 | + | 0.547830i | ||||
\(401\) | 209.472i | 0.522375i | 0.965288 | + | 0.261188i | \(0.0841141\pi\) | ||||
−0.965288 | + | 0.261188i | \(0.915886\pi\) | |||||||
\(402\) | 63.1282 | + | 50.4687i | 0.157035 | + | 0.125544i | ||||
\(403\) | −2.25646 | + | 4.42856i | −0.00559916 | + | 0.0109890i | ||||
\(404\) | 246.723 | − | 290.955i | 0.610700 | − | 0.720185i | ||||
\(405\) | −376.252 | + | 149.866i | −0.929016 | + | 0.370039i | ||||
\(406\) | 10.0800 | + | 10.8658i | 0.0248275 | + | 0.0267631i | ||||
\(407\) | −241.237 | − | 241.237i | −0.592720 | − | 0.592720i | ||||
\(408\) | −22.7450 | − | 116.343i | −0.0557476 | − | 0.285154i | ||||
\(409\) | 348.504 | + | 479.675i | 0.852088 | + | 1.17280i | 0.983399 | + | 0.181457i | \(0.0580814\pi\) |
−0.131311 | + | 0.991341i | \(0.541919\pi\) | |||||||
\(410\) | −104.353 | − | 126.413i | −0.254520 | − | 0.308324i | ||||
\(411\) | −262.663 | − | 368.139i | −0.639084 | − | 0.895714i | ||||
\(412\) | 356.741 | − | 149.249i | 0.865877 | − | 0.362255i | ||||
\(413\) | 30.8663 | + | 4.88874i | 0.0747367 | + | 0.0118371i | ||||
\(414\) | −69.6851 | + | 324.126i | −0.168322 | + | 0.782912i | ||||
\(415\) | −371.632 | − | 304.307i | −0.895498 | − | 0.733270i | ||||
\(416\) | −41.2833 | − | 14.8164i | −0.0992387 | − | 0.0356163i | ||||
\(417\) | 695.079 | − | 103.973i | 1.66686 | − | 0.249336i | ||||
\(418\) | 474.966 | − | 134.862i | 1.13628 | − | 0.322637i | ||||
\(419\) | −430.550 | − | 139.894i | −1.02756 | − | 0.333876i | −0.253738 | − | 0.967273i | \(-0.581660\pi\) |
−0.773827 | + | 0.633397i | \(0.781660\pi\) | |||||||
\(420\) | −11.6612 | + | 37.9014i | −0.0277646 | + | 0.0902413i | ||||
\(421\) | −80.3003 | − | 247.139i | −0.190737 | − | 0.587028i | 0.809263 | − | 0.587447i | \(-0.199867\pi\) |
−1.00000 | 0.000418408i | \(0.999867\pi\) | ||||||||
\(422\) | 341.620 | − | 229.139i | 0.809526 | − | 0.542983i | ||||
\(423\) | −353.281 | − | 187.724i | −0.835180 | − | 0.443792i | ||||
\(424\) | −750.342 | + | 33.4730i | −1.76968 | + | 0.0789457i | ||||
\(425\) | −118.922 | − | 33.2572i | −0.279816 | − | 0.0782523i | ||||
\(426\) | −206.684 | − | 226.674i | −0.485175 | − | 0.532100i | ||||
\(427\) | 25.7030 | − | 4.07096i | 0.0601944 | − | 0.00953385i | ||||
\(428\) | −13.0646 | − | 158.811i | −0.0305248 | − | 0.371054i | ||||
\(429\) | 0.272473 | − | 31.6980i | 0.000635134 | − | 0.0738880i | ||||
\(430\) | 182.622 | + | 161.347i | 0.424703 | + | 0.375225i | ||||
\(431\) | 31.0372 | − | 95.5226i | 0.0720120 | − | 0.221630i | −0.908572 | − | 0.417727i | \(-0.862827\pi\) |
0.980584 | + | 0.196097i | \(0.0628268\pi\) | |||||||
\(432\) | 260.416 | − | 344.685i | 0.602815 | − | 0.797881i | ||||
\(433\) | −252.172 | − | 494.916i | −0.582384 | − | 1.14299i | −0.974774 | − | 0.223194i | \(-0.928352\pi\) |
0.392390 | − | 0.919799i | \(-0.371648\pi\) | |||||||
\(434\) | −4.75892 | + | 0.571800i | −0.0109653 | + | 0.00131751i | ||||
\(435\) | −167.821 | − | 11.1598i | −0.385796 | − | 0.0256548i | ||||
\(436\) | 46.0482 | − | 612.830i | 0.105615 | − | 1.40557i | ||||
\(437\) | 92.2705 | − | 582.573i | 0.211145 | − | 1.33312i | ||||
\(438\) | −410.768 | + | 270.429i | −0.937826 | + | 0.617418i | ||||
\(439\) | −245.639 | − | 178.467i | −0.559543 | − | 0.406531i | 0.271749 | − | 0.962368i | \(-0.412398\pi\) |
−0.831292 | + | 0.555837i | \(0.812398\pi\) | |||||||
\(440\) | −91.4008 | − | 294.498i | −0.207729 | − | 0.669314i | ||||
\(441\) | 437.004 | + | 7.51345i | 0.990939 | + | 0.0170373i | ||||
\(442\) | 13.5311 | + | 0.507648i | 0.0306133 | + | 0.00114852i | ||||
\(443\) | 404.138 | − | 404.138i | 0.912275 | − | 0.912275i | −0.0841756 | − | 0.996451i | \(-0.526826\pi\) |
0.996451 | + | 0.0841756i | \(0.0268257\pi\) | |||||||
\(444\) | 529.211 | + | 44.3427i | 1.19192 | + | 0.0998710i | ||||
\(445\) | 796.205 | + | 173.775i | 1.78923 | + | 0.390506i | ||||
\(446\) | 162.754 | − | 825.860i | 0.364920 | − | 1.85170i | ||||
\(447\) | −146.456 | + | 143.960i | −0.327643 | + | 0.322058i | ||||
\(448\) | −10.3107 | − | 41.0224i | −0.0230149 | − | 0.0915680i | ||||
\(449\) | −855.036 | −1.90431 | −0.952155 | − | 0.305614i | \(-0.901138\pi\) | ||||
−0.952155 | + | 0.305614i | \(0.901138\pi\) | |||||||
\(450\) | −198.977 | − | 403.619i | −0.442171 | − | 0.896931i | ||||
\(451\) | 126.364i | 0.280187i | ||||||||
\(452\) | 413.906 | + | 481.162i | 0.915722 | + | 1.06452i | ||||
\(453\) | 196.133 | + | 199.534i | 0.432965 | + | 0.440473i | ||||
\(454\) | −75.8814 | + | 385.042i | −0.167140 | + | 0.848111i | ||||
\(455\) | −3.91025 | − | 2.28606i | −0.00859395 | − | 0.00502431i | ||||
\(456\) | −429.097 | + | 637.644i | −0.941001 | + | 1.39834i | ||||
\(457\) | 106.799 | + | 106.799i | 0.233697 | + | 0.233697i | 0.814234 | − | 0.580537i | \(-0.197157\pi\) |
−0.580537 | + | 0.814234i | \(0.697157\pi\) | |||||||
\(458\) | 726.580 | + | 27.2593i | 1.58642 | + | 0.0595180i | ||||
\(459\) | −44.4683 | + | 125.731i | −0.0968808 | + | 0.273925i | ||||
\(460\) | −365.125 | − | 48.7773i | −0.793750 | − | 0.106038i | ||||
\(461\) | −367.982 | + | 506.484i | −0.798226 | + | 1.09866i | 0.194809 | + | 0.980841i | \(0.437591\pi\) |
−0.993035 | + | 0.117823i | \(0.962409\pi\) | |||||||
\(462\) | 25.5329 | − | 16.8096i | 0.0552659 | − | 0.0363843i | ||||
\(463\) | −345.434 | − | 54.7114i | −0.746078 | − | 0.118167i | −0.228191 | − | 0.973616i | \(-0.573281\pi\) |
−0.517887 | + | 0.855449i | \(0.673281\pi\) | |||||||
\(464\) | 159.270 | − | 82.5778i | 0.343254 | − | 0.177969i | ||||
\(465\) | 34.8204 | − | 41.7861i | 0.0748826 | − | 0.0898626i | ||||
\(466\) | 170.381 | − | 20.4718i | 0.365625 | − | 0.0439310i | ||||
\(467\) | −262.494 | + | 133.748i | −0.562086 | + | 0.286397i | −0.711858 | − | 0.702323i | \(-0.752146\pi\) |
0.149772 | + | 0.988721i | \(0.452146\pi\) | |||||||
\(468\) | 31.5313 | + | 37.9556i | 0.0673747 | + | 0.0811017i | ||||
\(469\) | −8.46701 | − | 2.75110i | −0.0180533 | − | 0.00586588i | ||||
\(470\) | 176.968 | − | 407.765i | 0.376527 | − | 0.867585i | ||||
\(471\) | 309.867 | + | 2.66358i | 0.657891 | + | 0.00565517i | ||||
\(472\) | 156.543 | − | 344.367i | 0.331659 | − | 0.729590i | ||||
\(473\) | −29.3872 | − | 185.544i | −0.0621294 | − | 0.392270i | ||||
\(474\) | 98.7574 | + | 108.309i | 0.208349 | + | 0.228500i | ||||
\(475\) | 392.728 | + | 697.661i | 0.826795 | + | 1.46876i | ||||
\(476\) | 6.86217 | + | 11.1096i | 0.0144163 | + | 0.0233394i | ||||
\(477\) | 746.172 | + | 396.496i | 1.56430 | + | 0.831229i | ||||
\(478\) | −290.430 | + | 194.804i | −0.607595 | + | 0.407540i | ||||
\(479\) | 386.113 | − | 125.456i | 0.806081 | − | 0.261912i | 0.123144 | − | 0.992389i | \(-0.460702\pi\) |
0.682937 | + | 0.730477i | \(0.260702\pi\) | |||||||
\(480\) | 404.615 | + | 258.238i | 0.842947 | + | 0.537996i | ||||
\(481\) | −18.7449 | + | 57.6909i | −0.0389707 | + | 0.119939i | ||||
\(482\) | 529.387 | − | 150.315i | 1.09831 | − | 0.311856i | ||||
\(483\) | −5.40257 | − | 36.1171i | −0.0111854 | − | 0.0747765i | ||||
\(484\) | 93.4455 | − | 227.876i | 0.193069 | − | 0.470818i | ||||
\(485\) | −42.2029 | + | 729.278i | −0.0870163 | + | 1.50367i | ||||
\(486\) | −449.365 | + | 185.114i | −0.924620 | + | 0.380892i | ||||
\(487\) | −108.966 | + | 687.984i | −0.223749 | + | 1.41270i | 0.578487 | + | 0.815692i | \(0.303643\pi\) |
−0.802236 | + | 0.597006i | \(0.796357\pi\) | |||||||
\(488\) | 35.3624 | − | 313.009i | 0.0724640 | − | 0.641411i | ||||
\(489\) | 135.144 | − | 96.4237i | 0.276367 | − | 0.197185i | ||||
\(490\) | 29.9809 | + | 484.706i | 0.0611854 | + | 0.989195i | ||||
\(491\) | −220.753 | + | 160.387i | −0.449599 | + | 0.326653i | −0.789437 | − | 0.613831i | \(-0.789628\pi\) |
0.339838 | + | 0.940484i | \(0.389628\pi\) | |||||||
\(492\) | −126.991 | − | 150.219i | −0.258112 | − | 0.305323i | ||||
\(493\) | −39.1626 | + | 39.1626i | −0.0794374 | + | 0.0794374i | ||||
\(494\) | −59.7054 | − | 64.3600i | −0.120861 | − | 0.130283i | ||||
\(495\) | −79.7865 | + | 337.600i | −0.161185 | + | 0.682021i | ||||
\(496\) | −8.67011 | + | 57.3672i | −0.0174801 | + | 0.115660i | ||||
\(497\) | 30.1070 | + | 15.3403i | 0.0605774 | + | 0.0308658i | ||||
\(498\) | −450.203 | − | 359.921i | −0.904023 | − | 0.722734i | ||||
\(499\) | 328.494 | 0.658305 | 0.329153 | − | 0.944277i | \(-0.393237\pi\) | ||||
0.329153 | + | 0.944277i | \(0.393237\pi\) | |||||||
\(500\) | 429.628 | − | 255.773i | 0.859255 | − | 0.511547i | ||||
\(501\) | −32.1614 | + | 96.1621i | −0.0641944 | + | 0.191940i | ||||
\(502\) | 598.756 | + | 219.689i | 1.19274 | + | 0.437628i | ||||
\(503\) | 284.317 | + | 144.867i | 0.565243 | + | 0.288006i | 0.713168 | − | 0.700993i | \(-0.247260\pi\) |
−0.147925 | + | 0.988999i | \(0.547260\pi\) | |||||||
\(504\) | −13.4599 | + | 45.6424i | −0.0267061 | + | 0.0905603i | ||||
\(505\) | −191.577 | − | 436.673i | −0.379361 | − | 0.864700i | ||||
\(506\) | 193.129 | + | 208.185i | 0.381678 | + | 0.411433i | ||||
\(507\) | 448.658 | − | 223.766i | 0.884928 | − | 0.441353i | ||||
\(508\) | −838.133 | − | 509.536i | −1.64987 | − | 1.00302i | ||||
\(509\) | 243.478 | − | 176.897i | 0.478345 | − | 0.347538i | −0.322339 | − | 0.946624i | \(-0.604469\pi\) |
0.800685 | + | 0.599086i | \(0.204469\pi\) | |||||||
\(510\) | −143.164 | − | 38.2349i | −0.280714 | − | 0.0749705i | ||||
\(511\) | 31.8416 | − | 43.8262i | 0.0623123 | − | 0.0857655i | ||||
\(512\) | −511.861 | − | 11.9477i | −0.999728 | − | 0.0233353i | ||||
\(513\) | 780.276 | − | 372.549i | 1.52101 | − | 0.726216i | ||||
\(514\) | −371.759 | + | 172.182i | −0.723266 | + | 0.334984i | ||||
\(515\) | 27.9262 | − | 482.572i | 0.0542255 | − | 0.937033i | ||||
\(516\) | 221.399 | + | 191.037i | 0.429068 | + | 0.370226i | ||||
\(517\) | −305.320 | + | 155.568i | −0.590561 | + | 0.300906i | ||||
\(518\) | −56.2734 | + | 15.9783i | −0.108636 | + | 0.0308462i | ||||
\(519\) | 556.718 | + | 411.837i | 1.07267 | + | 0.793520i | ||||
\(520\) | −39.2778 | + | 38.2524i | −0.0755342 | + | 0.0735624i | ||||
\(521\) | 347.549 | − | 112.926i | 0.667081 | − | 0.216748i | 0.0441502 | − | 0.999025i | \(-0.485942\pi\) |
0.622930 | + | 0.782277i | \(0.285942\pi\) | |||||||
\(522\) | −201.528 | − | 11.0328i | −0.386070 | − | 0.0211356i | ||||
\(523\) | 66.2387 | + | 418.215i | 0.126651 | + | 0.799646i | 0.966470 | + | 0.256779i | \(0.0826612\pi\) |
−0.839819 | + | 0.542867i | \(0.817339\pi\) | |||||||
\(524\) | 606.553 | − | 374.657i | 1.15754 | − | 0.714993i | ||||
\(525\) | 36.1832 | + | 33.8792i | 0.0689204 | + | 0.0645317i | ||||
\(526\) | −125.204 | + | 224.500i | −0.238031 | + | 0.426806i | ||||
\(527\) | −2.80190 | − | 17.6905i | −0.00531671 | − | 0.0335684i | ||||
\(528\) | −113.812 | − | 352.089i | −0.215552 | − | 0.666836i | ||||
\(529\) | −180.473 | + | 58.6394i | −0.341160 | + | 0.110849i | ||||
\(530\) | −373.777 | + | 861.249i | −0.705239 | + | 1.62500i | ||||
\(531\) | −348.536 | + | 244.184i | −0.656377 | + | 0.459857i | ||||
\(532\) | 19.4720 | − | 82.3908i | 0.0366015 | − | 0.154870i | ||||
\(533\) | 20.0192 | − | 10.2003i | 0.0375595 | − | 0.0191375i | ||||
\(534\) | 957.823 | + | 197.328i | 1.79368 | + | 0.369529i | ||||
\(535\) | −185.563 | − | 72.3928i | −0.346847 | − | 0.135314i | ||||
\(536\) | −59.3933 | + | 89.9185i | −0.110808 | + | 0.167758i | ||||
\(537\) | 202.380 | − | 388.893i | 0.376872 | − | 0.724195i | ||||
\(538\) | 456.648 | − | 581.369i | 0.848788 | − | 1.08061i | ||||
\(539\) | 220.048 | − | 302.871i | 0.408253 | − | 0.561912i | ||||
\(540\) | −244.427 | − | 481.514i | −0.452643 | − | 0.891692i | ||||
\(541\) | 415.781 | − | 302.083i | 0.768542 | − | 0.558378i | −0.132977 | − | 0.991119i | \(-0.542454\pi\) |
0.901518 | + | 0.432741i | \(0.142454\pi\) | |||||||
\(542\) | −402.752 | − | 15.1101i | −0.743085 | − | 0.0278785i | ||||
\(543\) | −63.7286 | − | 127.778i | −0.117364 | − | 0.235318i | ||||
\(544\) | 151.740 | − | 44.2488i | 0.278935 | − | 0.0813398i | ||||
\(545\) | −663.177 | − | 387.715i | −1.21684 | − | 0.711404i | ||||
\(546\) | −4.72410 | − | 2.68814i | −0.00865219 | − | 0.00492333i | ||||
\(547\) | 569.828 | + | 290.342i | 1.04173 | + | 0.530789i | 0.889204 | − | 0.457510i | \(-0.151259\pi\) |
0.152528 | + | 0.988299i | \(0.451259\pi\) | |||||||
\(548\) | 457.122 | − | 393.227i | 0.834164 | − | 0.717567i | ||||
\(549\) | −213.194 | + | 283.072i | −0.388332 | + | 0.515614i | ||||
\(550\) | −380.936 | − | 58.7850i | −0.692610 | − | 0.106882i | ||||
\(551\) | 359.080 | 0.651687 | ||||||||
\(552\) | −438.806 | − | 53.3982i | −0.794938 | − | 0.0967359i | ||||
\(553\) | −14.3856 | − | 7.32985i | −0.0260138 | − | 0.0132547i | ||||
\(554\) | 109.716 | − | 556.728i | 0.198043 | − | 1.00493i | ||||
\(555\) | 339.955 | − | 570.179i | 0.612532 | − | 1.02735i | ||||
\(556\) | 221.982 | + | 910.411i | 0.399249 | + | 1.63743i | ||||
\(557\) | −161.932 | + | 161.932i | −0.290722 | + | 0.290722i | −0.837365 | − | 0.546644i | \(-0.815905\pi\) |
0.546644 | + | 0.837365i | \(0.315905\pi\) | |||||||
\(558\) | 41.1945 | − | 50.6292i | 0.0738252 | − | 0.0907333i | ||||
\(559\) | −27.0225 | + | 19.6330i | −0.0483408 | + | 0.0351216i | ||||
\(560\) | −51.7355 | − | 10.9083i | −0.0923847 | − | 0.0194791i | ||||
\(561\) | 66.3469 | + | 92.9892i | 0.118265 | + | 0.165756i | ||||
\(562\) | 478.163 | + | 375.582i | 0.850823 | + | 0.668296i | ||||
\(563\) | 55.3237 | − | 349.300i | 0.0982659 | − | 0.620426i | −0.888575 | − | 0.458731i | \(-0.848304\pi\) |
0.986841 | − | 0.161695i | \(-0.0516960\pi\) | |||||||
\(564\) | 206.617 | − | 491.771i | 0.366342 | − | 0.871935i | ||||
\(565\) | 767.440 | − | 201.163i | 1.35830 | − | 0.356040i | ||||
\(566\) | 977.544 | − | 117.455i | 1.72711 | − | 0.207518i | ||||
\(567\) | 39.1330 | − | 36.5305i | 0.0690177 | − | 0.0644277i | ||||
\(568\) | 276.037 | − | 301.815i | 0.485980 | − | 0.531364i | ||||
\(569\) | −101.858 | + | 313.486i | −0.179012 | + | 0.550943i | −0.999794 | − | 0.0202992i | \(-0.993538\pi\) |
0.820782 | + | 0.571242i | \(0.193538\pi\) | |||||||
\(570\) | 481.044 | + | 831.618i | 0.843936 | + | 1.45898i | ||||
\(571\) | −50.7224 | + | 16.4807i | −0.0888308 | + | 0.0288629i | −0.353095 | − | 0.935587i | \(-0.614871\pi\) |
0.264264 | + | 0.964450i | \(0.414871\pi\) | |||||||
\(572\) | 42.1232 | − | 3.46527i | 0.0736420 | − | 0.00605817i | ||||
\(573\) | 28.2775 | − | 169.116i | 0.0493499 | − | 0.295141i | ||||
\(574\) | 18.9234 | + | 10.5536i | 0.0329676 | + | 0.0183861i | ||||
\(575\) | −254.976 | + | 383.421i | −0.443436 | + | 0.666819i | ||||
\(576\) | 489.133 | + | 304.179i | 0.849189 | + | 0.528089i | ||||
\(577\) | 40.4371 | + | 255.310i | 0.0700816 | + | 0.442478i | 0.997632 | + | 0.0687795i | \(0.0219105\pi\) |
−0.927550 | + | 0.373698i | \(0.878090\pi\) | |||||||
\(578\) | 439.497 | − | 294.789i | 0.760375 | − | 0.510015i | ||||
\(579\) | −1.22039 | + | 141.973i | −0.00210775 | + | 0.245204i | ||||
\(580\) | −5.44337 | − | 224.190i | −0.00938512 | − | 0.386534i | ||||
\(581\) | 60.3831 | + | 19.6197i | 0.103930 | + | 0.0337688i | ||||
\(582\) | −40.3928 | + | 875.667i | −0.0694034 | + | 1.50458i | ||||
\(583\) | 644.873 | − | 328.579i | 1.10613 | − | 0.563601i | ||||
\(584\) | −408.685 | − | 512.790i | −0.699803 | − | 0.878065i | ||||
\(585\) | 59.9247 | − | 14.6114i | 0.102435 | − | 0.0249768i | ||||
\(586\) | −318.248 | − | 687.132i | −0.543086 | − | 1.17258i | ||||
\(587\) | 826.634 | + | 130.926i | 1.40823 | + | 0.223042i | 0.813820 | − | 0.581117i | \(-0.197384\pi\) |
0.594414 | + | 0.804159i | \(0.297384\pi\) | |||||||
\(588\) | 42.7853 | + | 581.186i | 0.0727641 | + | 0.988411i | ||||
\(589\) | −68.2565 | + | 93.9469i | −0.115885 | + | 0.159502i | ||||
\(590\) | −301.019 | − | 364.653i | −0.510202 | − | 0.618057i | ||||
\(591\) | −96.8308 | + | 30.5446i | −0.163842 | + | 0.0516829i | ||||
\(592\) | 5.01400 | + | 708.070i | 0.00846959 | + | 1.19606i | ||||
\(593\) | −169.038 | − | 169.038i | −0.285056 | − | 0.285056i | 0.550066 | − | 0.835121i | \(-0.314603\pi\) |
−0.835121 | + | 0.550066i | \(0.814603\pi\) | |||||||
\(594\) | −90.9935 | + | 406.214i | −0.153188 | + | 0.683861i | ||||
\(595\) | 16.2421 | − | 1.61775i | 0.0272977 | − | 0.00271891i | ||||
\(596\) | −208.841 | − | 177.092i | −0.350404 | − | 0.297134i | ||||
\(597\) | 547.395 | − | 538.065i | 0.916910 | − | 0.901281i | ||||
\(598\) | 17.3920 | − | 47.4014i | 0.0290837 | − | 0.0792665i | ||||
\(599\) | 955.085i | 1.59447i | 0.603672 | + | 0.797233i | \(0.293704\pi\) | ||||
−0.603672 | + | 0.797233i | \(0.706296\pi\) | |||||||
\(600\) | 511.924 | − | 312.944i | 0.853207 | − | 0.521573i | ||||
\(601\) | 275.328 | 0.458117 | 0.229059 | − | 0.973413i | \(-0.426435\pi\) | ||||
0.229059 | + | 0.973413i | \(0.426435\pi\) | |||||||
\(602\) | −30.2400 | − | 11.0953i | −0.0502325 | − | 0.0184308i | ||||
\(603\) | 108.950 | − | 53.1738i | 0.180680 | − | 0.0881821i | ||||
\(604\) | −241.273 | + | 284.528i | −0.399458 | + | 0.471072i | ||||
\(605\) | −204.753 | − | 229.906i | −0.338434 | − | 0.380010i | ||||
\(606\) | −236.013 | − | 521.280i | −0.389460 | − | 0.860199i | ||||
\(607\) | −132.368 | + | 132.368i | −0.218069 | + | 0.218069i | −0.807684 | − | 0.589616i | \(-0.799279\pi\) |
0.589616 | + | 0.807684i | \(0.299279\pi\) | |||||||
\(608\) | −898.507 | − | 492.792i | −1.47781 | − | 0.810513i | ||||
\(609\) | 21.2021 | − | 6.68806i | 0.0348147 | − | 0.0109820i | ||||
\(610\) | −332.231 | − | 211.333i | −0.544641 | − | 0.346447i | ||||
\(611\) | 49.2917 | + | 35.8125i | 0.0806738 | + | 0.0586130i | ||||
\(612\) | −172.322 | − | 43.8672i | −0.281572 | − | 0.0716784i | ||||
\(613\) | −119.719 | + | 755.877i | −0.195300 | + | 1.23308i | 0.673976 | + | 0.738753i | \(0.264585\pi\) |
−0.869277 | + | 0.494326i | \(0.835415\pi\) | |||||||
\(614\) | −888.209 | + | 411.378i | −1.44659 | + | 0.669997i | ||||
\(615\) | −238.372 | + | 60.2976i | −0.387597 | + | 0.0980448i | ||||
\(616\) | 25.4034 | + | 31.8744i | 0.0412393 | + | 0.0517442i | ||||
\(617\) | −232.335 | − | 455.983i | −0.376556 | − | 0.739032i | 0.622494 | − | 0.782625i | \(-0.286120\pi\) |
−0.999049 | + | 0.0435927i | \(0.986120\pi\) | |||||||
\(618\) | 26.7284 | − | 579.439i | 0.0432498 | − | 0.937604i | ||||
\(619\) | 105.257 | − | 323.946i | 0.170043 | − | 0.523338i | −0.829330 | − | 0.558760i | \(-0.811277\pi\) |
0.999372 | + | 0.0354217i | \(0.0112774\pi\) | |||||||
\(620\) | 59.6900 | + | 41.1914i | 0.0962742 | + | 0.0664377i | ||||
\(621\) | 394.652 | + | 302.581i | 0.635510 | + | 0.487248i | ||||
\(622\) | −523.785 | − | 780.904i | −0.842099 | − | 1.25547i | ||||
\(623\) | −106.396 | + | 16.8514i | −0.170779 | + | 0.0270488i | ||||
\(624\) | −46.5926 | + | 46.4517i | −0.0746676 | + | 0.0744418i | ||||
\(625\) | −51.7778 | − | 622.852i | −0.0828445 | − | 0.996562i | ||||
\(626\) | −284.306 | + | 509.779i | −0.454163 | + | 0.814344i | ||||
\(627\) | 122.141 | − | 730.471i | 0.194802 | − | 1.16503i | ||||
\(628\) | 33.8752 | + | 411.780i | 0.0539413 | + | 0.655701i | ||||
\(629\) | −67.5496 | − | 207.896i | −0.107392 | − | 0.330519i | ||||
\(630\) | 43.8929 | + | 40.1438i | 0.0696713 | + | 0.0637203i | ||||
\(631\) | −1085.36 | − | 352.656i | −1.72007 | − | 0.558884i | −0.728111 | − | 0.685459i | \(-0.759601\pi\) |
−0.991957 | + | 0.126575i | \(0.959601\pi\) | |||||||
\(632\) | −131.895 | + | 144.212i | −0.208695 | + | 0.228184i | ||||
\(633\) | −91.2820 | − | 610.236i | −0.144205 | − | 0.964037i | ||||
\(634\) | 41.2668 | + | 343.451i | 0.0650896 | + | 0.541721i | ||||
\(635\) | −1031.90 | + | 662.162i | −1.62504 | + | 1.04278i | ||||
\(636\) | −436.400 | + | 1038.68i | −0.686163 | + | 1.63314i | ||||
\(637\) | −65.7448 | − | 10.4129i | −0.103210 | − | 0.0163469i | ||||
\(638\) | −106.786 | + | 135.952i | −0.167376 | + | 0.213091i | ||||
\(639\) | −439.994 | + | 134.646i | −0.688567 | + | 0.210713i | ||||
\(640\) | −294.051 | + | 568.449i | −0.459455 | + | 0.888201i | ||||
\(641\) | 276.638 | + | 380.760i | 0.431573 | + | 0.594009i | 0.968313 | − | 0.249738i | \(-0.0803446\pi\) |
−0.536741 | + | 0.843747i | \(0.680345\pi\) | |||||||
\(642\) | −223.678 | − | 84.2580i | −0.348408 | − | 0.131243i | ||||
\(643\) | 295.460 | + | 295.460i | 0.459502 | + | 0.459502i | 0.898492 | − | 0.438990i | \(-0.144664\pi\) |
−0.438990 | + | 0.898492i | \(0.644664\pi\) | |||||||
\(644\) | 47.3060 | − | 11.5344i | 0.0734565 | − | 0.0179106i | ||||
\(645\) | 335.984 | − | 143.972i | 0.520906 | − | 0.223212i | ||||
\(646\) | 310.389 | + | 61.1693i | 0.480479 | + | 0.0946893i | ||||
\(647\) | −443.470 | + | 870.359i | −0.685425 | + | 1.34522i | 0.241656 | + | 0.970362i | \(0.422309\pi\) |
−0.927081 | + | 0.374860i | \(0.877691\pi\) | |||||||
\(648\) | −300.058 | − | 574.342i | −0.463053 | − | 0.886330i | ||||
\(649\) | 364.513i | 0.561653i | ||||||||
\(650\) | 21.4367 | + | 65.0948i | 0.0329795 | + | 0.100146i | ||||
\(651\) | −2.28044 | + | 6.81848i | −0.00350298 | + | 0.0104739i | ||||
\(652\) | 144.353 | + | 167.809i | 0.221401 | + | 0.257376i | ||||
\(653\) | −131.146 | + | 257.389i | −0.200837 | + | 0.394164i | −0.969355 | − | 0.245663i | \(-0.920994\pi\) |
0.768519 | + | 0.639827i | \(0.220994\pi\) | |||||||
\(654\) | −801.206 | − | 455.908i | −1.22509 | − | 0.697107i | ||||
\(655\) | −88.3251 | − | 886.779i | −0.134847 | − | 1.35386i | ||||
\(656\) | 184.137 | − | 186.763i | 0.280696 | − | 0.284700i | ||||
\(657\) | 102.858 | + | 730.486i | 0.156557 | + | 1.11185i | ||||
\(658\) | −2.20283 | + | 58.7152i | −0.00334777 | + | 0.0892328i | ||||
\(659\) | −95.2237 | − | 131.064i | −0.144497 | − | 0.198883i | 0.730634 | − | 0.682770i | \(-0.239225\pi\) |
−0.875131 | + | 0.483886i | \(0.839225\pi\) | |||||||
\(660\) | −457.918 | − | 65.1845i | −0.693814 | − | 0.0987644i | ||||
\(661\) | −433.889 | − | 315.239i | −0.656412 | − | 0.476912i | 0.209037 | − | 0.977908i | \(-0.432967\pi\) |
−0.865449 | + | 0.500996i | \(0.832967\pi\) | |||||||
\(662\) | 644.453 | + | 506.198i | 0.973494 | + | 0.764650i | ||||
\(663\) | 9.37616 | − | 18.0172i | 0.0141420 | − | 0.0271753i | ||||
\(664\) | 423.568 | − | 641.261i | 0.637903 | − | 0.965754i | ||||
\(665\) | −81.8781 | − | 67.0451i | −0.123125 | − | 0.100820i | ||||
\(666\) | 399.906 | − | 688.944i | 0.600460 | − | 1.03445i | ||||
\(667\) | 93.7590 | + | 184.012i | 0.140568 | + | 0.275881i | ||||
\(668\) | −131.572 | − | 31.0955i | −0.196965 | − | 0.0465501i | ||||
\(669\) | −1015.06 | − | 750.900i | −1.51728 | − | 1.12242i | ||||
\(670\) | 68.4473 | + | 116.018i | 0.102160 | + | 0.173161i | ||||
\(671\) | 93.7983 | + | 288.682i | 0.139789 | + | 0.430226i | ||||
\(672\) | −62.2316 | − | 12.3621i | −0.0926065 | − | 0.0183960i | ||||
\(673\) | −937.471 | + | 148.481i | −1.39297 | + | 0.220625i | −0.807405 | − | 0.589998i | \(-0.799128\pi\) |
−0.585568 | + | 0.810623i | \(0.699128\pi\) | |||||||
\(674\) | −587.428 | − | 327.611i | −0.871555 | − | 0.486069i | ||||
\(675\) | −674.917 | + | 10.5854i | −0.999877 | + | 0.0156820i | ||||
\(676\) | 351.298 | + | 568.737i | 0.519672 | + | 0.841327i | ||||
\(677\) | 498.885 | − | 79.0156i | 0.736905 | − | 0.116714i | 0.223311 | − | 0.974747i | \(-0.428314\pi\) |
0.513595 | + | 0.858033i | \(0.328314\pi\) | |||||||
\(678\) | 918.038 | − | 252.162i | 1.35404 | − | 0.371920i | ||||
\(679\) | −29.8384 | − | 91.8331i | −0.0439446 | − | 0.135248i | ||||
\(680\) | 33.4855 | − | 194.717i | 0.0492433 | − | 0.286349i | ||||
\(681\) | 473.254 | + | 350.094i | 0.694940 | + | 0.514088i | ||||
\(682\) | −15.2708 | − | 53.7815i | −0.0223912 | − | 0.0788585i | ||||
\(683\) | 147.139 | + | 288.777i | 0.215431 | + | 0.422807i | 0.973279 | − | 0.229624i | \(-0.0737495\pi\) |
−0.757849 | + | 0.652430i | \(0.773750\pi\) | |||||||
\(684\) | 588.898 | + | 991.113i | 0.860962 | + | 1.44900i | ||||
\(685\) | −191.112 | − | 729.097i | −0.278996 | − | 1.06437i | ||||
\(686\) | −54.1982 | − | 117.020i | −0.0790061 | − | 0.170582i | ||||
\(687\) | 503.473 | − | 967.473i | 0.732858 | − | 1.40826i | ||||
\(688\) | −226.938 | + | 317.051i | −0.329852 | + | 0.460830i | ||||
\(689\) | −104.110 | − | 75.6404i | −0.151103 | − | 0.109783i | ||||
\(690\) | −300.562 | + | 463.657i | −0.435597 | + | 0.671966i | ||||
\(691\) | 262.487 | + | 361.283i | 0.379866 | + | 0.522840i | 0.955549 | − | 0.294833i | \(-0.0952639\pi\) |
−0.575683 | + | 0.817673i | \(0.695264\pi\) | |||||||
\(692\) | −479.644 | + | 788.964i | −0.693127 | + | 1.14012i | ||||
\(693\) | −6.39355 | − | 45.4062i | −0.00922590 | − | 0.0655212i | ||||
\(694\) | −701.059 | + | 650.357i | −1.01017 | + | 0.937114i | ||||
\(695\) | 1144.41 | + | 249.773i | 1.64664 | + | 0.359386i | ||||
\(696\) | −9.68173 | − | 268.933i | −0.0139105 | − | 0.386397i | ||||
\(697\) | −36.7580 | + | 72.1417i | −0.0527375 | + | 0.103503i | ||||
\(698\) | −345.959 | + | 942.899i | −0.495643 | + | 1.35086i | ||||
\(699\) | 81.6454 | − | 244.119i | 0.116803 | − | 0.349240i | ||||
\(700\) | −40.6180 | + | 52.1365i | −0.0580258 | + | 0.0744808i | ||||
\(701\) | − | 792.384i | − | 1.13036i | −0.824967 | − | 0.565181i | \(-0.808806\pi\) | ||
0.824967 | − | 0.565181i | \(-0.191194\pi\) | |||||||
\(702\) | 71.6994 | − | 18.3745i | 0.102136 | − | 0.0261745i | ||||
\(703\) | −643.415 | + | 1262.77i | −0.915242 | + | 1.79626i | ||||
\(704\) | 453.783 | − | 193.635i | 0.644578 | − | 0.275050i | ||||
\(705\) | −439.153 | − | 501.719i | −0.622912 | − | 0.711658i | ||||
\(706\) | −327.506 | + | 303.821i | −0.463890 | + | 0.430341i | ||||
\(707\) | 44.5697 | + | 44.5697i | 0.0630406 | + | 0.0630406i | ||||
\(708\) | −366.322 | − | 433.324i | −0.517404 | − | 0.612040i | ||||
\(709\) | −150.766 | − | 207.511i | −0.212646 | − | 0.292682i | 0.689348 | − | 0.724430i | \(-0.257897\pi\) |
−0.901994 | + | 0.431748i | \(0.857897\pi\) | |||||||
\(710\) | −187.705 | − | 475.557i | −0.264374 | − | 0.669799i | ||||
\(711\) | 210.237 | − | 64.3361i | 0.295692 | − | 0.0904868i | ||||
\(712\) | −146.380 | + | 1295.67i | −0.205590 | + | 1.81977i | ||||
\(713\) | −65.9660 | − | 10.4480i | −0.0925190 | − | 0.0146536i | ||||
\(714\) | 19.4665 | − | 2.16939i | 0.0272640 | − | 0.00303836i | ||||
\(715\) | 19.2015 | − | 49.2190i | 0.0268553 | − | 0.0688378i | ||||
\(716\) | 540.828 | + | 221.778i | 0.755347 | + | 0.309746i | ||||
\(717\) | 77.6040 | + | 518.796i | 0.108234 | + | 0.723565i | ||||
\(718\) | −315.513 | − | 1111.19i | −0.439433 | − | 1.54762i | ||||
\(719\) | −196.680 | − | 63.9051i | −0.273546 | − | 0.0888806i | 0.169032 | − | 0.985611i | \(-0.445936\pi\) |
−0.442578 | + | 0.896730i | \(0.645936\pi\) | |||||||
\(720\) | 609.869 | − | 382.700i | 0.847041 | − | 0.531528i | ||||
\(721\) | 19.7444 | + | 60.7670i | 0.0273847 | + | 0.0842816i | ||||
\(722\) | −740.359 | − | 1103.79i | −1.02543 | − | 1.52879i | ||||
\(723\) | 136.135 | − | 814.167i | 0.188292 | − | 1.12610i | ||||
\(724\) | 161.976 | − | 100.050i | 0.223724 | − | 0.138190i | ||||
\(725\) | −254.828 | − | 116.798i | −0.351487 | − | 0.161101i | ||||
\(726\) | −248.917 | − | 272.992i | −0.342861 | − | 0.376021i | ||||
\(727\) | 1300.15 | − | 205.924i | 1.78838 | − | 0.283252i | 0.827755 | − | 0.561089i | \(-0.189618\pi\) |
0.960628 | + | 0.277837i | \(0.0896176\pi\) | |||||||
\(728\) | 2.99910 | − | 6.59747i | 0.00411964 | − | 0.00906246i | ||||
\(729\) | −37.5809 | + | 728.031i | −0.0515513 | + | 0.998670i | ||||
\(730\) | −800.106 | + | 177.957i | −1.09604 | + | 0.243777i | ||||
\(731\) | 37.1954 | − | 114.476i | 0.0508829 | − | 0.156602i | ||||
\(732\) | −401.619 | − | 248.914i | −0.548660 | − | 0.340046i | ||||
\(733\) | 329.551 | + | 646.780i | 0.449592 | + | 0.882373i | 0.998906 | + | 0.0467577i | \(0.0148889\pi\) |
−0.549315 | + | 0.835616i | \(0.685111\pi\) | |||||||
\(734\) | −79.4382 | − | 661.141i | −0.108226 | − | 0.900736i | ||||
\(735\) | 676.332 | + | 270.575i | 0.920180 | + | 0.368129i | ||||
\(736\) | 17.9256 | − | 589.117i | 0.0243555 | − | 0.800431i | ||||
\(737\) | 16.2444 | − | 102.563i | 0.0220413 | − | 0.139163i | ||||
\(738\) | −285.180 | + | 75.7016i | −0.386422 | + | 0.102577i | ||||
\(739\) | −671.539 | − | 487.902i | −0.908714 | − | 0.660219i | 0.0319757 | − | 0.999489i | \(-0.489820\pi\) |
−0.940689 | + | 0.339270i | \(0.889820\pi\) | |||||||
\(740\) | 798.160 | + | 382.570i | 1.07859 | + | 0.516987i | ||||
\(741\) | −125.584 | + | 39.6146i | −0.169479 | + | 0.0534609i | ||||
\(742\) | 4.65264 | − | 124.014i | 0.00627041 | − | 0.167134i | ||||
\(743\) | −316.139 | + | 316.139i | −0.425490 | + | 0.425490i | −0.887089 | − | 0.461599i | \(-0.847276\pi\) |
0.461599 | + | 0.887089i | \(0.347276\pi\) | |||||||
\(744\) | 72.2019 | + | 48.5876i | 0.0970456 | + | 0.0653059i | ||||
\(745\) | −313.434 | + | 137.510i | −0.420717 | + | 0.184577i | ||||
\(746\) | −634.546 | − | 125.052i | −0.850598 | − | 0.167630i | ||||
\(747\) | −776.986 | + | 379.213i | −1.04014 | + | 0.507648i | ||||
\(748\) | −115.466 | + | 99.3262i | −0.154366 | + | 0.132789i | ||||
\(749\) | 26.3287 | 0.0351517 | ||||||||
\(750\) | −70.8809 | − | 746.643i | −0.0945079 | − | 0.995524i | ||||
\(751\) | − | 520.103i | − | 0.692547i | −0.938134 | − | 0.346273i | \(-0.887447\pi\) | ||
0.938134 | − | 0.346273i | \(-0.112553\pi\) | |||||||
\(752\) | 677.947 | + | 214.983i | 0.901526 | + | 0.285882i | ||||
\(753\) | 682.264 | − | 670.635i | 0.906062 | − | 0.890618i | ||||
\(754\) | 30.1581 | + | 5.94333i | 0.0399974 | + | 0.00788240i | ||||
\(755\) | 187.345 | + | 427.027i | 0.248140 | + | 0.565599i | ||||
\(756\) | 53.2320 | + | 47.5525i | 0.0704127 | + | 0.0629001i | ||||
\(757\) | −594.062 | − | 594.062i | −0.784758 | − | 0.784758i | 0.195872 | − | 0.980630i | \(-0.437246\pi\) |
−0.980630 | + | 0.195872i | \(0.937246\pi\) | |||||||
\(758\) | −12.5835 | + | 335.405i | −0.0166009 | + | 0.442487i | ||||
\(759\) | 406.226 | − | 128.141i | 0.535212 | − | 0.168829i | ||||
\(760\) | −1046.19 | + | 739.163i | −1.37656 | + | 0.972582i | ||||
\(761\) | −260.709 | + | 358.835i | −0.342587 | + | 0.471531i | −0.945195 | − | 0.326507i | \(-0.894128\pi\) |
0.602608 | + | 0.798038i | \(0.294128\pi\) | |||||||
\(762\) | −1228.89 | + | 809.040i | −1.61271 | + | 1.06173i | ||||
\(763\) | 100.292 | + | 15.8847i | 0.131444 | + | 0.0208187i | ||||
\(764\) | 227.975 | + | 17.1301i | 0.298397 | + | 0.0224216i | ||||
\(765\) | −143.755 | + | 169.528i | −0.187915 | + | 0.221605i | ||||
\(766\) | 42.9470 | + | 357.435i | 0.0560665 | + | 0.466625i | ||||
\(767\) | 57.7478 | − | 29.4240i | 0.0752905 | − | 0.0383624i | ||||
\(768\) | −344.850 | + | 686.223i | −0.449024 | + | 0.893520i | ||||
\(769\) | −191.266 | − | 62.1462i | −0.248721 | − | 0.0808143i | 0.182003 | − | 0.983298i | \(-0.441742\pi\) |
−0.430724 | + | 0.902484i | \(0.641742\pi\) | |||||||
\(770\) | 49.7337 | − | 11.0616i | 0.0645892 | − | 0.0143658i | ||||
\(771\) | −5.28237 | + | 614.522i | −0.00685133 | + | 0.797045i | ||||
\(772\) | −188.667 | + | 15.5207i | −0.244387 | + | 0.0201046i | ||||
\(773\) | 64.4270 | + | 406.776i | 0.0833468 | + | 0.526231i | 0.993671 | + | 0.112334i | \(0.0358326\pi\) |
−0.910324 | + | 0.413897i | \(0.864167\pi\) | |||||||
\(774\) | 401.130 | − | 177.476i | 0.518256 | − | 0.229297i | ||||
\(775\) | 78.9977 | − | 44.4694i | 0.101933 | − | 0.0573799i | ||||
\(776\) | −1167.64 | + | 52.0886i | −1.50469 | + | 0.0671245i | ||||
\(777\) | −14.4711 | + | 86.5454i | −0.0186243 | + | 0.111384i | ||||
\(778\) | −23.6956 | − | 35.3274i | −0.0304570 | − | 0.0454079i | ||||
\(779\) | 499.247 | − | 162.215i | 0.640883 | − | 0.208235i | ||||
\(780\) | 26.6369 | + | 77.8072i | 0.0341499 | + | 0.0997528i | ||||
\(781\) | −121.792 | + | 374.836i | −0.155943 | + | 0.479944i | ||||
\(782\) | 49.6990 | + | 175.033i | 0.0635537 | + | 0.223827i | ||||
\(783\) | −144.353 | + | 266.114i | −0.184359 | + | 0.339865i | ||||
\(784\) | −766.565 | + | 126.983i | −0.977761 | + | 0.161968i | ||||
\(785\) | 481.145 | + | 187.707i | 0.612924 | + | 0.239117i | ||||
\(786\) | −118.443 | − | 1062.82i | −0.150691 | − | 1.35219i | ||||
\(787\) | 36.3625 | − | 229.584i | 0.0462040 | − | 0.291720i | −0.953757 | − | 0.300579i | \(-0.902820\pi\) |
0.999961 | + | 0.00885901i | \(0.00281995\pi\) | |||||||
\(788\) | −52.2497 | − | 124.889i | −0.0663068 | − | 0.158489i | ||||
\(789\) | 223.948 | + | 313.877i | 0.283838 | + | 0.397816i | ||||
\(790\) | 89.6889 | + | 227.230i | 0.113530 | + | 0.287632i | ||||
\(791\) | −84.8409 | + | 61.6405i | −0.107258 | + | 0.0779273i | ||||
\(792\) | −550.379 | − | 71.7817i | −0.694923 | − | 0.0906335i | ||||
\(793\) | 38.1627 | − | 38.1627i | 0.0481245 | − | 0.0481245i | ||||
\(794\) | 7.93301 | − | 7.35929i | 0.00999120 | − | 0.00926862i | ||||
\(795\) | 927.544 | + | 1059.69i | 1.16672 | + | 1.33295i | ||||
\(796\) | 780.562 | + | 661.898i | 0.980606 | + | 0.831530i | ||||
\(797\) | 241.444 | + | 123.022i | 0.302941 | + | 0.154356i | 0.598853 | − | 0.800859i | \(-0.295624\pi\) |
−0.295912 | + | 0.955215i | \(0.595624\pi\) | |||||||
\(798\) | −99.1891 | − | 79.2981i | −0.124297 | − | 0.0993710i | ||||
\(799\) | −219.561 | −0.274795 | ||||||||
\(800\) | 477.352 | + | 641.978i | 0.596690 | + | 0.802472i | ||||
\(801\) | 882.500 | − | 1171.76i | 1.10175 | − | 1.46287i | ||||
\(802\) | −144.308 | + | 393.306i | −0.179935 | + | 0.490407i | ||||
\(803\) | 562.996 | + | 286.861i | 0.701116 | + | 0.357237i | ||||
\(804\) | 83.7613 | + | 138.250i | 0.104181 | + | 0.171953i | ||||
\(805\) | 12.9785 | − | 59.4650i | 0.0161223 | − | 0.0738696i | ||||
\(806\) | −7.28763 | + | 6.76058i | −0.00904173 | + | 0.00838782i | ||||
\(807\) | −494.920 | − | 992.330i | −0.613284 | − | 1.22965i | ||||
\(808\) | 663.690 | − | 376.328i | 0.821398 | − | 0.465753i | ||||
\(809\) | −145.996 | + | 106.072i | −0.180465 | + | 0.131115i | −0.674350 | − | 0.738412i | \(-0.735576\pi\) |
0.493886 | + | 0.869527i | \(0.335576\pi\) | |||||||
\(810\) | −809.696 | + | 22.1850i | −0.999625 | + | 0.0273889i | ||||
\(811\) | 96.4095 | − | 132.696i | 0.118877 | − | 0.163620i | −0.745431 | − | 0.666582i | \(-0.767756\pi\) |
0.864309 | + | 0.502962i | \(0.167756\pi\) | |||||||
\(812\) | 11.4406 | + | 27.3459i | 0.0140895 | + | 0.0336772i | ||||
\(813\) | −279.082 | + | 536.282i | −0.343274 | + | 0.659634i | ||||
\(814\) | −286.757 | − | 619.139i | −0.352282 | − | 0.760613i | ||||
\(815\) | 267.651 | − | 70.1572i | 0.328406 | − | 0.0860824i | ||||
\(816\) | 37.4438 | − | 234.115i | 0.0458870 | − | 0.286906i | ||||
\(817\) | −695.332 | + | 354.289i | −0.851079 | + | 0.433646i | ||||
\(818\) | 323.900 | + | 1140.73i | 0.395965 | + | 1.39453i | ||||
\(819\) | −6.67736 | + | 4.67814i | −0.00815306 | + | 0.00571202i | ||||
\(820\) | −108.847 | − | 309.244i | −0.132740 | − | 0.377126i | ||||
\(821\) | 618.441 | − | 200.944i | 0.753277 | − | 0.244755i | 0.0928864 | − | 0.995677i | \(-0.470391\pi\) |
0.660391 | + | 0.750922i | \(0.270391\pi\) | |||||||
\(822\) | −239.563 | − | 872.171i | −0.291440 | − | 1.06103i | ||||
\(823\) | 233.576 | + | 1474.74i | 0.283810 | + | 1.79191i | 0.557593 | + | 0.830114i | \(0.311725\pi\) |
−0.273783 | + | 0.961791i | \(0.588275\pi\) | |||||||
\(824\) | 772.638 | − | 34.4676i | 0.937668 | − | 0.0418296i | ||||
\(825\) | −324.281 | + | 478.664i | −0.393067 | + | 0.580199i | ||||
\(826\) | 54.5868 | + | 30.4432i | 0.0660857 | + | 0.0368562i | ||||
\(827\) | −173.392 | − | 1094.75i | −0.209664 | − | 1.32377i | −0.837934 | − | 0.545771i | \(-0.816237\pi\) |
0.628270 | − | 0.777995i | \(-0.283763\pi\) | |||||||
\(828\) | −354.135 | + | 560.573i | −0.427699 | + | 0.677021i | ||||
\(829\) | 84.9585 | − | 27.6047i | 0.102483 | − | 0.0332988i | −0.257327 | − | 0.966325i | \(-0.582842\pi\) |
0.359810 | + | 0.933026i | \(0.382842\pi\) | |||||||
\(830\) | −488.137 | − | 827.389i | −0.588117 | − | 0.996855i | ||||
\(831\) | −684.273 | − | 506.197i | −0.823433 | − | 0.609142i | ||||
\(832\) | −67.3065 | − | 56.2599i | −0.0808973 | − | 0.0676200i | ||||
\(833\) | 213.728 | − | 108.900i | 0.256576 | − | 0.130732i | ||||
\(834\) | 1376.71 | + | 283.627i | 1.65073 | + | 0.340080i | ||||
\(835\) | −107.066 | + | 130.754i | −0.128223 | + | 0.156591i | ||||
\(836\) | 984.707 | + | 73.9911i | 1.17788 | + | 0.0885061i | ||||
\(837\) | −42.1845 | − | 88.3524i | −0.0503997 | − | 0.105558i | ||||
\(838\) | −712.027 | − | 559.276i | −0.849675 | − | 0.667394i | ||||
\(839\) | −309.701 | + | 426.267i | −0.369131 | + | 0.508065i | −0.952664 | − | 0.304024i | \(-0.901670\pi\) |
0.583533 | + | 0.812089i | \(0.301670\pi\) | |||||||
\(840\) | −48.0057 | + | 63.1303i | −0.0571497 | + | 0.0751551i | ||||
\(841\) | 578.668 | − | 420.427i | 0.688072 | − | 0.499913i | ||||
\(842\) | 19.4845 | − | 519.349i | 0.0231408 | − | 0.616804i | ||||
\(843\) | 816.168 | − | 407.060i | 0.968171 | − | 0.482871i | ||||
\(844\) | 799.284 | − | 194.887i | 0.947019 | − | 0.230908i | ||||
\(845\) | 831.492 | − | 82.8184i | 0.984014 | − | 0.0980099i | ||||
\(846\) | −533.997 | − | 595.851i | −0.631202 | − | 0.704316i | ||||
\(847\) | 36.2589 | + | 18.4748i | 0.0428086 | + | 0.0218121i | ||||
\(848\) | −1431.91 | − | 454.070i | −1.68857 | − | 0.535460i | ||||
\(849\) | 468.432 | − | 1400.61i | 0.551746 | − | 1.64971i | ||||
\(850\) | −200.377 | − | 144.371i | −0.235738 | − | 0.169848i | ||||
\(851\) | −815.117 | −0.957834 | ||||||||
\(852\) | −231.913 | − | 567.992i | −0.272199 | − | 0.666658i | ||||
\(853\) | 1105.25 | + | 563.151i | 1.29572 | + | 0.660201i | 0.959533 | − | 0.281596i | \(-0.0908637\pi\) |
0.336184 | + | 0.941796i | \(0.390864\pi\) | |||||||
\(854\) | 51.0646 | + | 10.0634i | 0.0597946 | + | 0.0117839i | ||||
\(855\) | 1436.23 | − | 118.156i | 1.67981 | − | 0.138195i | ||||
\(856\) | 84.8765 | − | 307.185i | 0.0991548 | − | 0.358861i | ||||
\(857\) | −483.481 | + | 483.481i | −0.564155 | + | 0.564155i | −0.930485 | − | 0.366330i | \(-0.880614\pi\) |
0.366330 | + | 0.930485i | \(0.380614\pi\) | |||||||
\(858\) | 22.3487 | − | 59.3286i | 0.0260474 | − | 0.0691475i | ||||
\(859\) | −148.835 | + | 108.135i | −0.173265 | + | 0.125884i | −0.671038 | − | 0.741423i | \(-0.734151\pi\) |
0.497773 | + | 0.867307i | \(0.334151\pi\) | |||||||
\(860\) | 231.739 | + | 428.756i | 0.269464 | + | 0.498554i | ||||
\(861\) | 26.4571 | − | 18.8769i | 0.0307283 | − | 0.0219244i | ||||
\(862\) | 124.082 | − | 157.972i | 0.143947 | − | 0.183262i | ||||
\(863\) | −171.486 | + | 1082.72i | −0.198709 | + | 1.25460i | 0.663551 | + | 0.748131i | \(0.269048\pi\) |
−0.862260 | + | 0.506466i | \(0.830952\pi\) | |||||||
\(864\) | 726.416 | − | 467.778i | 0.840759 | − | 0.541410i | ||||
\(865\) | 623.316 | + | 971.362i | 0.720597 | + | 1.12296i | ||||
\(866\) | −132.527 | − | 1102.98i | −0.153033 | − | 1.27365i | ||||
\(867\) | −117.435 | − | 785.073i | −0.135450 | − | 0.905505i | ||||
\(868\) | −9.32929 | − | 2.20486i | −0.0107480 | − | 0.00254016i | ||||
\(869\) | 58.1942 | − | 179.103i | 0.0669668 | − | 0.206103i | ||||
\(870\) | −307.414 | − | 136.568i | −0.353349 | − | 0.156974i | ||||
\(871\) | −17.5598 | + | 5.70554i | −0.0201606 | + | 0.00655056i | ||||
\(872\) | 508.646 | − | 1118.93i | 0.583310 | − | 1.28318i | ||||
\(873\) | 1161.15 | + | 617.003i | 1.33007 | + | 0.706762i | ||||
\(874\) | 574.589 | − | 1030.28i | 0.657424 | − | 1.17881i | ||||
\(875\) | 36.2986 | + | 74.2124i | 0.0414841 | + | 0.0848142i | ||||
\(876\) | −957.561 | + | 224.777i | −1.09311 | + | 0.256594i | ||||
\(877\) | −131.247 | − | 828.660i | −0.149654 | − | 0.944881i | −0.942196 | − | 0.335063i | \(-0.891243\pi\) |
0.792541 | − | 0.609818i | \(-0.208757\pi\) | |||||||
\(878\) | −338.265 | − | 504.315i | −0.385268 | − | 0.574390i | ||||
\(879\) | −1135.84 | − | 9.76355i | −1.29219 | − | 0.0111076i | ||||
\(880\) | 31.2686 | − | 615.919i | 0.0355325 | − | 0.699907i | ||||
\(881\) | −1050.92 | − | 341.465i | −1.19287 | − | 0.387588i | −0.355739 | − | 0.934585i | \(-0.615771\pi\) |
−0.837134 | + | 0.546998i | \(0.815771\pi\) | |||||||
\(882\) | 815.345 | + | 315.164i | 0.924428 | + | 0.357329i | ||||
\(883\) | −353.023 | + | 179.874i | −0.399800 | + | 0.203708i | −0.642317 | − | 0.766439i | \(-0.722027\pi\) |
0.242517 | + | 0.970147i | \(0.422027\pi\) | |||||||
\(884\) | 25.0563 | + | 10.2749i | 0.0283442 | + | 0.0116231i | ||||
\(885\) | −687.613 | + | 173.936i | −0.776964 | + | 0.196537i | ||||
\(886\) | 1037.23 | − | 480.396i | 1.17068 | − | 0.542208i | ||||
\(887\) | 810.258 | + | 128.332i | 0.913482 | + | 0.144681i | 0.595444 | − | 0.803397i | \(-0.296976\pi\) |
0.318038 | + | 0.948078i | \(0.396976\pi\) | |||||||
\(888\) | 963.102 | + | 447.838i | 1.08457 | + | 0.504322i | ||||
\(889\) | 95.2601 | − | 131.114i | 0.107154 | − | 0.147485i | ||||
\(890\) | 1375.24 | + | 874.796i | 1.54522 | + | 0.982917i | ||||
\(891\) | 492.251 | + | 384.174i | 0.552471 | + | 0.431172i | ||||
\(892\) | 874.533 | − | 1438.52i | 0.980418 | − | 1.61269i | ||||
\(893\) | 1006.57 | + | 1006.57i | 1.12718 | + | 1.12718i | ||||
\(894\) | −374.163 | + | 169.405i | −0.418527 | + | 0.189491i | ||||
\(895\) | 545.647 | − | 485.949i | 0.609661 | − | 0.542959i | ||||
\(896\) | 8.90149 | − | 84.1271i | 0.00993470 | − | 0.0938918i | ||||
\(897\) | −53.0918 | − | 54.0125i | −0.0591882 | − | 0.0602146i | ||||
\(898\) | −1605.42 | − | 589.044i | −1.78777 | − | 0.655951i | ||||
\(899\) | − | 40.6594i | − | 0.0452274i | ||||||
\(900\) | −95.5425 | − | 894.914i | −0.106158 | − | 0.994349i | ||||
\(901\) | 463.740 | 0.514695 | ||||||||
\(902\) | −87.0538 | + | 237.262i | −0.0965120 | + | 0.263040i | ||||
\(903\) | −34.4576 | + | 33.8702i | −0.0381590 | + | 0.0375086i | ||||
\(904\) | 445.675 | + | 1188.58i | 0.493003 | + | 1.31480i | ||||
\(905\) | −23.5867 | − | 236.809i | −0.0260626 | − | 0.261667i | ||||
\(906\) | 230.799 | + | 509.765i | 0.254745 | + | 0.562655i | ||||
\(907\) | 381.990 | − | 381.990i | 0.421157 | − | 0.421157i | −0.464445 | − | 0.885602i | \(-0.653746\pi\) |
0.885602 | + | 0.464445i | \(0.153746\pi\) | |||||||
\(908\) | −407.735 | + | 670.682i | −0.449048 | + | 0.738637i | ||||
\(909\) | −858.203 | − | 14.7551i | −0.944117 | − | 0.0162323i | ||||
\(910\) | −5.76701 | − | 6.98613i | −0.00633737 | − | 0.00767707i | ||||
\(911\) | −281.799 | − | 204.739i | −0.309329 | − | 0.224741i | 0.422280 | − | 0.906466i | \(-0.361230\pi\) |
−0.731608 | + | 0.681725i | \(0.761230\pi\) | |||||||
\(912\) | −1244.95 | + | 901.635i | −1.36508 | + | 0.988634i | ||||
\(913\) | −115.849 | + | 731.439i | −0.126888 | + | 0.801138i | ||||
\(914\) | 126.952 | + | 274.102i | 0.138897 | + | 0.299893i | ||||
\(915\) | −499.807 | + | 314.691i | −0.546237 | + | 0.343924i | ||||
\(916\) | 1345.45 | + | 551.731i | 1.46883 | + | 0.602327i | ||||
\(917\) | 53.4785 | + | 104.957i | 0.0583190 | + | 0.114457i | ||||
\(918\) | −170.112 | + | 205.439i | −0.185307 | + | 0.223790i | ||||
\(919\) | 214.544 | − | 660.298i | 0.233454 | − | 0.718496i | −0.763869 | − | 0.645371i | \(-0.776703\pi\) |
0.997323 | − | 0.0731250i | \(-0.0232972\pi\) | |||||||
\(920\) | −651.958 | − | 343.123i | −0.708650 | − | 0.372960i | ||||
\(921\) | −12.6207 | + | 1468.22i | −0.0137032 | + | 1.59416i | ||||
\(922\) | −1039.85 | + | 697.470i | −1.12782 | + | 0.756475i | ||||
\(923\) | 69.2145 | − | 10.9625i | 0.0749886 | − | 0.0118770i | ||||
\(924\) | 59.5209 | − | 13.9719i | 0.0644166 | − | 0.0151211i | ||||
\(925\) | 867.355 | − | 686.867i | 0.937682 | − | 0.742559i | ||||
\(926\) | −610.898 | − | 340.700i | −0.659717 | − | 0.367927i | ||||
\(927\) | −768.344 | − | 408.278i | −0.828851 | − | 0.440429i | ||||
\(928\) | 355.935 | − | 45.3257i | 0.383550 | − | 0.0488424i | ||||
\(929\) | 478.190 | + | 1471.72i | 0.514736 | + | 1.58419i | 0.783762 | + | 0.621062i | \(0.213298\pi\) |
−0.269026 | + | 0.963133i | \(0.586702\pi\) | |||||||
\(930\) | 94.1659 | − | 54.4697i | 0.101254 | − | 0.0585695i | ||||
\(931\) | −1479.08 | − | 480.582i | −1.58870 | − | 0.516199i | ||||
\(932\) | 334.012 | + | 78.9394i | 0.358382 | + | 0.0846990i | ||||
\(933\) | −1394.93 | + | 208.660i | −1.49510 | + | 0.223644i | ||||
\(934\) | −585.001 | + | 70.2898i | −0.626339 | + | 0.0752567i | ||||
\(935\) | 48.2735 | + | 184.165i | 0.0516294 | + | 0.196967i | ||||
\(936\) | 33.0554 | + | 92.9879i | 0.0353156 | + | 0.0993461i | ||||
\(937\) | −1659.73 | − | 262.876i | −1.77133 | − | 0.280550i | −0.816420 | − | 0.577459i | \(-0.804044\pi\) |
−0.954906 | + | 0.296908i | \(0.904044\pi\) | |||||||
\(938\) | −14.0024 | − | 10.9985i | −0.0149280 | − | 0.0117255i | ||||
\(939\) | 508.527 | + | 712.731i | 0.541562 | + | 0.759032i | ||||
\(940\) | 613.189 | − | 643.707i | 0.652329 | − | 0.684795i | ||||
\(941\) | −934.321 | − | 1285.98i | −0.992903 | − | 1.36661i | −0.929580 | − | 0.368620i | \(-0.879830\pi\) |
−0.0633224 | − | 0.997993i | \(-0.520170\pi\) | |||||||
\(942\) | 579.972 | + | 218.472i | 0.615682 | + | 0.231923i | ||||
\(943\) | 213.486 | + | 213.486i | 0.226391 | + | 0.226391i | ||||
\(944\) | 531.164 | − | 538.740i | 0.562674 | − | 0.570699i | ||||
\(945\) | 82.6028 | − | 33.7273i | 0.0874104 | − | 0.0356903i | ||||
\(946\) | 72.6455 | − | 368.623i | 0.0767922 | − | 0.389665i | ||||
\(947\) | −356.710 | + | 700.083i | −0.376674 | + | 0.739264i | −0.999056 | − | 0.0434498i | \(-0.986165\pi\) |
0.622382 | + | 0.782714i | \(0.286165\pi\) | |||||||
\(948\) | 110.812 | + | 271.397i | 0.116890 | + | 0.286283i | ||||
\(949\) | − | 112.348i | − | 0.118386i | ||||||
\(950\) | 256.761 | + | 1580.49i | 0.270274 | + | 1.66367i | ||||
\(951\) | 492.090 | + | 164.579i | 0.517445 | + | 0.173059i | ||||
\(952\) | 5.23094 | + | 25.5868i | 0.00549469 | + | 0.0268769i | ||||
\(953\) | 414.468 | − | 813.440i | 0.434909 | − | 0.853557i | −0.564692 | − | 0.825302i | \(-0.691005\pi\) |
0.999601 | − | 0.0282550i | \(-0.00899504\pi\) | |||||||
\(954\) | 1127.87 | + | 1258.51i | 1.18225 | + | 1.31919i | ||||
\(955\) | 144.232 | − | 246.705i | 0.151028 | − | 0.258329i | ||||
\(956\) | −679.516 | + | 165.684i | −0.710791 | + | 0.173310i | ||||
\(957\) | 115.736 | + | 232.054i | 0.120936 | + | 0.242481i | ||||
\(958\) | 811.395 | + | 30.4413i | 0.846968 | + | 0.0317759i | ||||
\(959\) | 58.5608 | + | 80.6020i | 0.0610644 | + | 0.0840479i | ||||
\(960\) | 581.804 | + | 763.613i | 0.606045 | + | 0.795430i | ||||
\(961\) | −766.828 | − | 557.133i | −0.797947 | − | 0.579743i | ||||
\(962\) | −74.9395 | + | 95.4071i | −0.0778996 | + | 0.0991758i | ||||
\(963\) | −257.841 | + | 249.125i | −0.267748 | + | 0.258696i | ||||
\(964\) | 1097.53 | + | 82.4689i | 1.13852 | + | 0.0855486i | ||||
\(965\) | −86.0023 | + | 220.448i | −0.0891216 | + | 0.228444i | ||||
\(966\) | 14.7376 | − | 71.5355i | 0.0152563 | − | 0.0740533i | ||||
\(967\) | −26.7081 | − | 52.4176i | −0.0276195 | − | 0.0542064i | 0.876784 | − | 0.480884i | \(-0.159684\pi\) |
−0.904404 | + | 0.426677i | \(0.859684\pi\) | |||||||
\(968\) | 332.440 | − | 363.486i | 0.343430 | − | 0.375502i | ||||
\(969\) | 282.217 | − | 381.499i | 0.291245 | − | 0.393703i | ||||
\(970\) | −581.649 | + | 1340.22i | −0.599638 | + | 1.38167i | ||||
\(971\) | 362.865 | + | 1116.78i | 0.373703 | + | 1.15014i | 0.944350 | + | 0.328943i | \(0.106692\pi\) |
−0.570647 | + | 0.821195i | \(0.693308\pi\) | |||||||
\(972\) | −971.257 | + | 37.9974i | −0.999236 | + | 0.0390919i | ||||
\(973\) | −152.926 | + | 24.2211i | −0.157170 | + | 0.0248932i | ||||
\(974\) | −678.555 | + | 1216.69i | −0.696668 | + | 1.24917i | ||||
\(975\) | 102.009 | + | 12.7356i | 0.104624 | + | 0.0130621i | ||||
\(976\) | 282.032 | − | 563.345i | 0.288967 | − | 0.577198i | ||||
\(977\) | −1651.73 | + | 261.609i | −1.69062 | + | 0.267767i | −0.926222 | − | 0.376980i | \(-0.876963\pi\) |
−0.764396 | + | 0.644747i | \(0.776963\pi\) | |||||||
\(978\) | 320.174 | − | 87.9436i | 0.327376 | − | 0.0899219i | ||||
\(979\) | −388.271 | − | 1194.97i | −0.396599 | − | 1.22061i | ||||
\(980\) | −277.627 | + | 930.740i | −0.283293 | + | 0.949735i | ||||
\(981\) | −1132.48 | + | 793.412i | −1.15441 | + | 0.808779i | ||||
\(982\) | −524.979 | + | 149.063i | −0.534602 | + | 0.151796i | ||||
\(983\) | −648.631 | − | 1273.01i | −0.659849 | − | 1.29503i | −0.941986 | − | 0.335652i | \(-0.891043\pi\) |
0.282138 | − | 0.959374i | \(-0.408957\pi\) | |||||||
\(984\) | −134.952 | − | 369.537i | −0.137146 | − | 0.375546i | ||||
\(985\) | −168.941 | − | 9.77651i | −0.171514 | − | 0.00992539i | ||||
\(986\) | −100.512 | + | 46.5524i | −0.101939 | + | 0.0472134i | ||||
\(987\) | 78.1818 | + | 40.6859i | 0.0792115 | + | 0.0412217i | ||||
\(988\) | −67.7649 | − | 161.974i | −0.0685879 | − | 0.163942i | ||||
\(989\) | −363.115 | − | 263.818i | −0.367154 | − | 0.266753i | ||||
\(990\) | −382.384 | + | 578.914i | −0.386247 | + | 0.584762i | ||||
\(991\) | 167.363 | + | 230.355i | 0.168883 | + | 0.232447i | 0.885067 | − | 0.465465i | \(-0.154113\pi\) |
−0.716184 | + | 0.697912i | \(0.754113\pi\) | |||||||
\(992\) | −55.7999 | + | 101.740i | −0.0562499 | + | 0.102560i | ||||
\(993\) | 1100.01 | − | 548.623i | 1.10776 | − | 0.552490i | ||||
\(994\) | 45.9610 | + | 49.5440i | 0.0462384 | + | 0.0498431i | ||||
\(995\) | 1171.49 | − | 513.956i | 1.17738 | − | 0.516539i | ||||
\(996\) | −597.350 | − | 985.940i | −0.599749 | − | 0.989900i | ||||
\(997\) | 339.299 | − | 665.913i | 0.340320 | − | 0.667916i | −0.655893 | − | 0.754854i | \(-0.727708\pi\) |
0.996214 | + | 0.0869371i | \(0.0277079\pi\) | |||||||
\(998\) | 616.783 | + | 226.304i | 0.618019 | + | 0.226757i | ||||
\(999\) | −677.184 | − | 984.481i | −0.677862 | − | 0.985466i |
(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 | 300.3.u.a.287.104 | yes | 928 | |
3.2 | odd | 2 | inner | 300.3.u.a.287.13 | yes | 928 | |
4.3 | odd | 2 | inner | 300.3.u.a.287.92 | yes | 928 | |
12.11 | even | 2 | inner | 300.3.u.a.287.25 | yes | 928 | |
25.23 | odd | 20 | inner | 300.3.u.a.23.25 | yes | 928 | |
75.23 | even | 20 | inner | 300.3.u.a.23.92 | yes | 928 | |
100.23 | even | 20 | inner | 300.3.u.a.23.13 | ✓ | 928 | |
300.23 | odd | 20 | inner | 300.3.u.a.23.104 | yes | 928 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.3.u.a.23.13 | ✓ | 928 | 100.23 | even | 20 | inner | |
300.3.u.a.23.25 | yes | 928 | 25.23 | odd | 20 | inner | |
300.3.u.a.23.92 | yes | 928 | 75.23 | even | 20 | inner | |
300.3.u.a.23.104 | yes | 928 | 300.23 | odd | 20 | inner | |
300.3.u.a.287.13 | yes | 928 | 3.2 | odd | 2 | inner | |
300.3.u.a.287.25 | yes | 928 | 12.11 | even | 2 | inner | |
300.3.u.a.287.92 | yes | 928 | 4.3 | odd | 2 | inner | |
300.3.u.a.287.104 | yes | 928 | 1.1 | even | 1 | trivial |