Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [245,4,Mod(3,245)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(245, base_ring=CyclotomicField(84))
chi = DirichletCharacter(H, H._module([63, 2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("245.3");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 245 = 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 245.x (of order \(84\), degree \(24\), 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: | \(14.4554679514\) |
Analytic rank: | \(0\) |
Dimension: | \(1968\) |
Relative dimension: | \(82\) over \(\Q(\zeta_{84})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{84}]$ |
Embedding invariants
Embedding label | 103.26 | ||
Character | \(\chi\) | \(=\) | 245.103 |
Dual form | 245.4.x.a.157.26 |
$q$-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 \(\left(\mathbb{Z}/245\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) |
\(\chi(n)\) | \(e\left(\frac{29}{42}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.44227 | + | 1.95420i | −0.509919 | + | 0.690915i | −0.981621 | − | 0.190843i | \(-0.938878\pi\) |
0.471702 | + | 0.881758i | \(0.343640\pi\) | |||||||
\(3\) | 2.08813 | − | 0.395096i | 0.401862 | − | 0.0760363i | 0.0189481 | − | 0.999820i | \(-0.493968\pi\) |
0.382914 | + | 0.923784i | \(0.374921\pi\) | |||||||
\(4\) | 0.619267 | + | 2.00761i | 0.0774083 | + | 0.250952i | ||||
\(5\) | 2.29020 | − | 10.9433i | 0.204842 | − | 0.978795i | ||||
\(6\) | −2.23955 | + | 4.65048i | −0.152382 | + | 0.316425i | ||||
\(7\) | 6.13252 | + | 17.4755i | 0.331125 | + | 0.943587i | ||||
\(8\) | −23.1564 | − | 8.10279i | −1.02338 | − | 0.358096i | ||||
\(9\) | −20.9294 | + | 8.21418i | −0.775162 | + | 0.304229i | ||||
\(10\) | 18.0823 | + | 20.2586i | 0.571812 | + | 0.640634i | ||||
\(11\) | 8.20233 | − | 20.8992i | 0.224827 | − | 0.572850i | −0.773299 | − | 0.634041i | \(-0.781395\pi\) |
0.998126 | + | 0.0611918i | \(0.0194901\pi\) | |||||||
\(12\) | 2.08631 | + | 3.94750i | 0.0501889 | + | 0.0949620i | ||||
\(13\) | −33.4714 | − | 3.77132i | −0.714099 | − | 0.0804596i | −0.252562 | − | 0.967581i | \(-0.581273\pi\) |
−0.461537 | + | 0.887121i | \(0.652702\pi\) | |||||||
\(14\) | −42.9954 | − | 13.2201i | −0.820785 | − | 0.252373i | ||||
\(15\) | 0.458601 | − | 23.7559i | 0.00789402 | − | 0.408916i | ||||
\(16\) | 35.3451 | − | 24.0979i | 0.552268 | − | 0.376530i | ||||
\(17\) | −5.07721 | − | 0.189976i | −0.0724355 | − | 0.00271034i | 0.00114889 | − | 0.999999i | \(-0.499634\pi\) |
−0.0735844 | + | 0.997289i | \(0.523444\pi\) | |||||||
\(18\) | 14.1336 | − | 52.7473i | 0.185073 | − | 0.690703i | ||||
\(19\) | −67.0465 | + | 116.128i | −0.809554 | + | 1.40219i | 0.103619 | + | 0.994617i | \(0.466958\pi\) |
−0.913173 | + | 0.407572i | \(0.866376\pi\) | |||||||
\(20\) | 23.3881 | − | 2.17896i | 0.261487 | − | 0.0243616i | ||||
\(21\) | 19.7100 | + | 34.0682i | 0.204813 | + | 0.354014i | ||||
\(22\) | 29.0113 | + | 46.1713i | 0.281147 | + | 0.447443i | ||||
\(23\) | 6.33701 | + | 169.360i | 0.0574504 | + | 1.53539i | 0.668447 | + | 0.743760i | \(0.266960\pi\) |
−0.610996 | + | 0.791634i | \(0.709231\pi\) | |||||||
\(24\) | −51.5551 | − | 7.77069i | −0.438485 | − | 0.0660910i | ||||
\(25\) | −114.510 | − | 50.1245i | −0.916080 | − | 0.400996i | ||||
\(26\) | 55.6446 | − | 59.9706i | 0.419723 | − | 0.452354i | ||||
\(27\) | −89.0430 | + | 55.9494i | −0.634679 | + | 0.398795i | ||||
\(28\) | −31.2863 | + | 23.1337i | −0.211163 | + | 0.156138i | ||||
\(29\) | 38.5046 | − | 8.78842i | 0.246556 | − | 0.0562748i | −0.0974569 | − | 0.995240i | \(-0.531071\pi\) |
0.344013 | + | 0.938965i | \(0.388214\pi\) | |||||||
\(30\) | 45.7624 | + | 35.1585i | 0.278501 | + | 0.213968i | ||||
\(31\) | −141.680 | + | 81.7991i | −0.820856 | + | 0.473921i | −0.850711 | − | 0.525633i | \(-0.823829\pi\) |
0.0298558 | + | 0.999554i | \(0.490495\pi\) | |||||||
\(32\) | 3.45365 | − | 92.3007i | 0.0190789 | − | 0.509894i | ||||
\(33\) | 8.87037 | − | 46.8811i | 0.0467919 | − | 0.247301i | ||||
\(34\) | 7.69394 | − | 9.64790i | 0.0388088 | − | 0.0486647i | ||||
\(35\) | 205.283 | − | 27.0875i | 0.991406 | − | 0.130818i | ||||
\(36\) | −29.4518 | − | 36.9313i | −0.136351 | − | 0.170978i | ||||
\(37\) | 46.4979 | − | 24.5749i | 0.206600 | − | 0.109191i | −0.360768 | − | 0.932656i | \(-0.617485\pi\) |
0.567368 | + | 0.823464i | \(0.307962\pi\) | |||||||
\(38\) | −130.239 | − | 298.510i | −0.555987 | − | 1.27434i | ||||
\(39\) | −71.3827 | + | 5.34940i | −0.293087 | + | 0.0219638i | ||||
\(40\) | −141.704 | + | 234.850i | −0.560133 | + | 0.928326i | ||||
\(41\) | −195.282 | − | 405.508i | −0.743853 | − | 1.54463i | −0.835906 | − | 0.548873i | \(-0.815057\pi\) |
0.0920529 | − | 0.995754i | \(-0.470657\pi\) | |||||||
\(42\) | −95.0034 | − | 10.6181i | −0.349032 | − | 0.0390096i | ||||
\(43\) | 76.0718 | + | 217.401i | 0.269787 | + | 0.771007i | 0.996463 | + | 0.0840274i | \(0.0267783\pi\) |
−0.726676 | + | 0.686980i | \(0.758936\pi\) | |||||||
\(44\) | 47.0369 | + | 3.52493i | 0.161161 | + | 0.0120774i | ||||
\(45\) | 41.9574 | + | 247.848i | 0.138992 | + | 0.821044i | ||||
\(46\) | −340.104 | − | 231.879i | −1.09012 | − | 0.743233i | ||||
\(47\) | −416.601 | − | 307.465i | −1.29292 | − | 0.954222i | −0.292926 | − | 0.956135i | \(-0.594629\pi\) |
−0.999998 | + | 0.00191356i | \(0.999391\pi\) | |||||||
\(48\) | 64.2844 | − | 64.2844i | 0.193305 | − | 0.193305i | ||||
\(49\) | −267.784 | + | 214.337i | −0.780713 | + | 0.624890i | ||||
\(50\) | 263.108 | − | 151.483i | 0.744180 | − | 0.428458i | ||||
\(51\) | −10.6769 | + | 1.60929i | −0.0293151 | + | 0.00441855i | ||||
\(52\) | −13.1564 | − | 69.5330i | −0.0350857 | − | 0.185433i | ||||
\(53\) | 94.6971 | + | 50.0489i | 0.245427 | + | 0.129712i | 0.585459 | − | 0.810702i | \(-0.300914\pi\) |
−0.340032 | + | 0.940414i | \(0.610438\pi\) | |||||||
\(54\) | 19.0873 | − | 254.702i | 0.0481009 | − | 0.641863i | ||||
\(55\) | −209.920 | − | 137.624i | −0.514648 | − | 0.337403i | ||||
\(56\) | −0.407259 | − | 454.360i | −0.000971826 | − | 1.08422i | ||||
\(57\) | −94.1204 | + | 268.981i | −0.218711 | + | 0.625042i | ||||
\(58\) | −38.3596 | + | 87.9210i | −0.0868424 | + | 0.199045i | ||||
\(59\) | 18.1525 | + | 242.228i | 0.0400551 | + | 0.534498i | 0.980753 | + | 0.195253i | \(0.0625527\pi\) |
−0.940698 | + | 0.339245i | \(0.889828\pi\) | |||||||
\(60\) | 47.9766 | − | 13.7905i | 0.103229 | − | 0.0296725i | ||||
\(61\) | 128.879 | − | 417.815i | 0.270512 | − | 0.876980i | −0.713770 | − | 0.700380i | \(-0.753014\pi\) |
0.984283 | − | 0.176600i | \(-0.0565099\pi\) | |||||||
\(62\) | 44.4887 | − | 394.848i | 0.0911302 | − | 0.808803i | ||||
\(63\) | −271.897 | − | 315.377i | −0.543742 | − | 0.630695i | ||||
\(64\) | 442.957 | + | 353.246i | 0.865150 | + | 0.689934i | ||||
\(65\) | −117.927 | + | 357.649i | −0.225031 | + | 0.682475i | ||||
\(66\) | 78.8217 | + | 84.9496i | 0.147004 | + | 0.158433i | ||||
\(67\) | −41.6200 | − | 11.1520i | −0.0758909 | − | 0.0203349i | 0.220674 | − | 0.975348i | \(-0.429174\pi\) |
−0.296565 | + | 0.955013i | \(0.595841\pi\) | |||||||
\(68\) | −2.76275 | − | 10.3107i | −0.00492695 | − | 0.0183876i | ||||
\(69\) | 80.1462 | + | 351.143i | 0.139833 | + | 0.612648i | ||||
\(70\) | −243.139 | + | 440.233i | −0.415153 | + | 0.751684i | ||||
\(71\) | −172.399 | + | 755.331i | −0.288170 | + | 1.26255i | 0.598865 | + | 0.800850i | \(0.295619\pi\) |
−0.887034 | + | 0.461703i | \(0.847239\pi\) | |||||||
\(72\) | 551.208 | − | 20.6247i | 0.902228 | − | 0.0337590i | ||||
\(73\) | 313.157 | − | 231.120i | 0.502085 | − | 0.370556i | −0.313133 | − | 0.949709i | \(-0.601379\pi\) |
0.815219 | + | 0.579153i | \(0.196617\pi\) | |||||||
\(74\) | −19.0382 | + | 126.310i | −0.0299073 | + | 0.198422i | ||||
\(75\) | −258.916 | − | 59.4242i | −0.398628 | − | 0.0914896i | ||||
\(76\) | −274.660 | − | 62.6893i | −0.414548 | − | 0.0946178i | ||||
\(77\) | 415.524 | + | 15.1749i | 0.614979 | + | 0.0224589i | ||||
\(78\) | 92.4992 | − | 147.212i | 0.134275 | − | 0.213698i | ||||
\(79\) | −945.273 | − | 545.753i | −1.34622 | − | 0.777241i | −0.358509 | − | 0.933526i | \(-0.616715\pi\) |
−0.987712 | + | 0.156285i | \(0.950048\pi\) | |||||||
\(80\) | −182.762 | − | 441.980i | −0.255418 | − | 0.617686i | ||||
\(81\) | 281.176 | − | 260.893i | 0.385701 | − | 0.357878i | ||||
\(82\) | 1074.09 | + | 203.230i | 1.44651 | + | 0.273695i | ||||
\(83\) | 120.357 | + | 1068.20i | 0.159168 | + | 1.41265i | 0.778559 | + | 0.627572i | \(0.215951\pi\) |
−0.619391 | + | 0.785083i | \(0.712620\pi\) | |||||||
\(84\) | −56.1900 | + | 60.6674i | −0.0729861 | + | 0.0788019i | ||||
\(85\) | −13.7068 | + | 55.1261i | −0.0174907 | + | 0.0703443i | ||||
\(86\) | −534.561 | − | 164.890i | −0.670270 | − | 0.206751i | ||||
\(87\) | 76.9305 | − | 33.5644i | 0.0948025 | − | 0.0413619i | ||||
\(88\) | −359.278 | + | 417.489i | −0.435218 | + | 0.505733i | ||||
\(89\) | −102.591 | − | 261.397i | −0.122186 | − | 0.311326i | 0.856673 | − | 0.515860i | \(-0.172527\pi\) |
−0.978860 | + | 0.204534i | \(0.934432\pi\) | |||||||
\(90\) | −544.859 | − | 275.470i | −0.638146 | − | 0.322634i | ||||
\(91\) | −139.358 | − | 608.055i | −0.160535 | − | 0.700456i | ||||
\(92\) | −336.086 | + | 117.601i | −0.380863 | + | 0.133270i | ||||
\(93\) | −263.529 | + | 226.785i | −0.293835 | + | 0.252866i | ||||
\(94\) | 1201.70 | − | 370.675i | 1.31857 | − | 0.406726i | ||||
\(95\) | 1117.27 | + | 999.664i | 1.20663 | + | 1.07961i | ||||
\(96\) | −29.2560 | − | 194.101i | −0.0311034 | − | 0.206358i | ||||
\(97\) | 273.031 | + | 273.031i | 0.285794 | + | 0.285794i | 0.835415 | − | 0.549620i | \(-0.185228\pi\) |
−0.549620 | + | 0.835415i | \(0.685228\pi\) | |||||||
\(98\) | −32.6421 | − | 832.437i | −0.0336464 | − | 0.858049i | ||||
\(99\) | 504.783i | 0.512450i | ||||||||
\(100\) | 29.7184 | − | 260.932i | 0.0297184 | − | 0.260932i | ||||
\(101\) | 148.045 | − | 217.142i | 0.145851 | − | 0.213925i | −0.746360 | − | 0.665542i | \(-0.768200\pi\) |
0.892212 | + | 0.451617i | \(0.149153\pi\) | |||||||
\(102\) | 12.2541 | − | 23.1860i | 0.0118955 | − | 0.0225074i | ||||
\(103\) | 702.308 | + | 816.096i | 0.671849 | + | 0.780703i | 0.985653 | − | 0.168785i | \(-0.0539844\pi\) |
−0.313804 | + | 0.949488i | \(0.601603\pi\) | |||||||
\(104\) | 744.519 | + | 358.541i | 0.701981 | + | 0.338056i | ||||
\(105\) | 417.957 | − | 137.669i | 0.388461 | − | 0.127954i | ||||
\(106\) | −234.384 | + | 112.873i | −0.214768 | + | 0.103427i | ||||
\(107\) | 1850.63 | + | 807.423i | 1.67203 | + | 0.729500i | 0.999940 | − | 0.0109678i | \(-0.00349124\pi\) |
0.672092 | + | 0.740468i | \(0.265396\pi\) | |||||||
\(108\) | −167.466 | − | 144.116i | −0.149208 | − | 0.128404i | ||||
\(109\) | −1080.08 | − | 423.902i | −0.949113 | − | 0.372500i | −0.160256 | − | 0.987076i | \(-0.551232\pi\) |
−0.788858 | + | 0.614576i | \(0.789327\pi\) | |||||||
\(110\) | 571.706 | − | 211.737i | 0.495546 | − | 0.183530i | ||||
\(111\) | 87.3845 | − | 69.6868i | 0.0747222 | − | 0.0595890i | ||||
\(112\) | 637.877 | + | 469.892i | 0.538158 | + | 0.396434i | ||||
\(113\) | 1951.58 | − | 219.890i | 1.62468 | − | 0.183057i | 0.747853 | − | 0.663865i | \(-0.231085\pi\) |
0.876826 | + | 0.480807i | \(0.159656\pi\) | |||||||
\(114\) | −389.896 | − | 571.873i | −0.320326 | − | 0.469831i | ||||
\(115\) | 1867.87 | + | 318.521i | 1.51460 | + | 0.258280i | ||||
\(116\) | 41.4884 | + | 71.8599i | 0.0332077 | + | 0.0575175i | ||||
\(117\) | 731.513 | − | 196.008i | 0.578021 | − | 0.154880i | ||||
\(118\) | −499.543 | − | 313.884i | −0.389718 | − | 0.244876i | ||||
\(119\) | −27.8161 | − | 89.8916i | −0.0214278 | − | 0.0692466i | ||||
\(120\) | −203.108 | + | 546.385i | −0.154510 | + | 0.415649i | ||||
\(121\) | 606.194 | + | 562.466i | 0.455442 | + | 0.422589i | ||||
\(122\) | 630.618 | + | 854.457i | 0.467979 | + | 0.634090i | ||||
\(123\) | −567.991 | − | 769.600i | −0.416374 | − | 0.564167i | ||||
\(124\) | −251.959 | − | 233.784i | −0.182472 | − | 0.169310i | ||||
\(125\) | −810.776 | + | 1138.32i | −0.580144 | + | 0.814514i | ||||
\(126\) | 1008.46 | − | 76.4826i | 0.713021 | − | 0.0540763i | ||||
\(127\) | 1831.30 | + | 1150.68i | 1.27954 | + | 0.803990i | 0.988280 | − | 0.152653i | \(-0.0487817\pi\) |
0.291263 | + | 0.956643i | \(0.405925\pi\) | |||||||
\(128\) | −615.434 | + | 164.905i | −0.424978 | + | 0.113873i | ||||
\(129\) | 244.743 | + | 423.907i | 0.167042 | + | 0.289325i | ||||
\(130\) | −528.837 | − | 746.278i | −0.356785 | − | 0.503484i | ||||
\(131\) | −333.763 | − | 489.540i | −0.222603 | − | 0.326498i | 0.698649 | − | 0.715464i | \(-0.253785\pi\) |
−0.921252 | + | 0.388966i | \(0.872832\pi\) | |||||||
\(132\) | 99.6122 | − | 11.2236i | 0.0656828 | − | 0.00740067i | ||||
\(133\) | −2440.56 | − | 459.513i | −1.59115 | − | 0.299585i | ||||
\(134\) | 81.8205 | − | 65.2497i | 0.0527479 | − | 0.0420650i | ||||
\(135\) | 408.343 | + | 1102.56i | 0.260330 | + | 0.702911i | ||||
\(136\) | 116.031 | + | 45.5387i | 0.0731584 | + | 0.0287126i | ||||
\(137\) | −83.6214 | − | 71.9620i | −0.0521479 | − | 0.0448769i | 0.625827 | − | 0.779962i | \(-0.284761\pi\) |
−0.677975 | + | 0.735085i | \(0.737142\pi\) | |||||||
\(138\) | −801.798 | − | 349.821i | −0.494591 | − | 0.215788i | ||||
\(139\) | −2564.85 | + | 1235.16i | −1.56509 | + | 0.753707i | −0.997571 | − | 0.0696536i | \(-0.977811\pi\) |
−0.567518 | + | 0.823361i | \(0.692096\pi\) | |||||||
\(140\) | 181.506 | + | 395.355i | 0.109572 | + | 0.238669i | ||||
\(141\) | −991.397 | − | 477.431i | −0.592132 | − | 0.285156i | ||||
\(142\) | −1227.42 | − | 1426.29i | −0.725374 | − | 0.842900i | ||||
\(143\) | −353.361 | + | 668.591i | −0.206640 | + | 0.390982i | ||||
\(144\) | −541.808 | + | 794.686i | −0.313546 | + | 0.459888i | ||||
\(145\) | −7.99082 | − | 441.493i | −0.00457656 | − | 0.252855i | ||||
\(146\) | 945.310i | 0.535852i | ||||||||
\(147\) | −474.486 | + | 553.366i | −0.266224 | + | 0.310482i | ||||
\(148\) | 78.1314 | + | 78.1314i | 0.0433944 | + | 0.0433944i | ||||
\(149\) | 227.530 | + | 1509.56i | 0.125100 | + | 0.829987i | 0.960084 | + | 0.279712i | \(0.0902390\pi\) |
−0.834984 | + | 0.550275i | \(0.814523\pi\) | |||||||
\(150\) | 489.554 | − | 420.269i | 0.266479 | − | 0.228766i | ||||
\(151\) | 2075.78 | − | 640.294i | 1.11871 | − | 0.345075i | 0.320374 | − | 0.947291i | \(-0.396192\pi\) |
0.798333 | + | 0.602216i | \(0.205715\pi\) | |||||||
\(152\) | 2493.52 | − | 2145.85i | 1.33060 | − | 1.14507i | ||||
\(153\) | 107.823 | − | 37.7290i | 0.0569738 | − | 0.0199360i | ||||
\(154\) | −628.952 | + | 790.133i | −0.329107 | + | 0.413446i | ||||
\(155\) | 570.673 | + | 1737.78i | 0.295726 | + | 0.900528i | ||||
\(156\) | −54.9445 | − | 139.996i | −0.0281992 | − | 0.0718504i | ||||
\(157\) | 1822.87 | − | 2118.21i | 0.926628 | − | 1.07676i | −0.0702289 | − | 0.997531i | \(-0.522373\pi\) |
0.996856 | − | 0.0792298i | \(-0.0252461\pi\) | |||||||
\(158\) | 2429.85 | − | 1060.13i | 1.22347 | − | 0.533795i | ||||
\(159\) | 217.514 | + | 67.0943i | 0.108491 | + | 0.0334649i | ||||
\(160\) | −1002.16 | − | 249.181i | −0.495174 | − | 0.123122i | ||||
\(161\) | −2920.79 | + | 1149.35i | −1.42975 | + | 0.562617i | ||||
\(162\) | 104.307 | + | 925.752i | 0.0505874 | + | 0.448975i | ||||
\(163\) | 1294.71 | + | 244.973i | 0.622145 | + | 0.117716i | 0.487421 | − | 0.873167i | \(-0.337938\pi\) |
0.134724 | + | 0.990883i | \(0.456985\pi\) | |||||||
\(164\) | 693.171 | − | 643.169i | 0.330046 | − | 0.306238i | ||||
\(165\) | −492.717 | − | 204.438i | −0.232472 | − | 0.0964573i | ||||
\(166\) | −2261.07 | − | 1305.43i | −1.05719 | − | 0.610367i | ||||
\(167\) | −1909.01 | + | 3038.18i | −0.884574 | + | 1.40779i | 0.0283220 | + | 0.999599i | \(0.490984\pi\) |
−0.912896 | + | 0.408192i | \(0.866159\pi\) | |||||||
\(168\) | −180.366 | − | 948.604i | −0.0828308 | − | 0.435633i | ||||
\(169\) | −1035.81 | − | 236.416i | −0.471465 | − | 0.107609i | ||||
\(170\) | −87.9588 | − | 106.292i | −0.0396831 | − | 0.0479544i | ||||
\(171\) | 449.346 | − | 2981.22i | 0.200950 | − | 1.33321i | ||||
\(172\) | −389.348 | + | 287.352i | −0.172602 | + | 0.127386i | ||||
\(173\) | −514.848 | + | 19.2643i | −0.226261 | + | 0.00846609i | −0.150281 | − | 0.988643i | \(-0.548018\pi\) |
−0.0759797 | + | 0.997109i | \(0.524208\pi\) | |||||||
\(174\) | −45.3626 | + | 198.747i | −0.0197640 | + | 0.0865917i | ||||
\(175\) | 173.715 | − | 2308.51i | 0.0750377 | − | 0.997181i | ||||
\(176\) | −213.714 | − | 936.344i | −0.0915303 | − | 0.401021i | ||||
\(177\) | 133.608 | + | 498.633i | 0.0567379 | + | 0.211749i | ||||
\(178\) | 658.786 | + | 176.521i | 0.277405 | + | 0.0743305i | ||||
\(179\) | −917.080 | − | 988.377i | −0.382937 | − | 0.412708i | 0.511939 | − | 0.859022i | \(-0.328927\pi\) |
−0.894877 | + | 0.446313i | \(0.852737\pi\) | |||||||
\(180\) | −471.600 | + | 237.718i | −0.195283 | + | 0.0984360i | ||||
\(181\) | −1184.05 | − | 944.245i | −0.486240 | − | 0.387763i | 0.349459 | − | 0.936952i | \(-0.386366\pi\) |
−0.835699 | + | 0.549188i | \(0.814937\pi\) | |||||||
\(182\) | 1389.26 | + | 604.644i | 0.565816 | + | 0.246259i | ||||
\(183\) | 104.039 | − | 923.375i | 0.0420263 | − | 0.372993i | ||||
\(184\) | 1225.55 | − | 3973.13i | 0.491025 | − | 1.59186i | ||||
\(185\) | −162.440 | − | 565.120i | −0.0645557 | − | 0.224586i | ||||
\(186\) | −63.1047 | − | 842.074i | −0.0248767 | − | 0.331956i | ||||
\(187\) | −45.6153 | + | 104.551i | −0.0178381 | + | 0.0408853i | ||||
\(188\) | 359.284 | − | 1026.78i | 0.139380 | − | 0.398326i | ||||
\(189\) | −1523.80 | − | 1212.96i | −0.586456 | − | 0.466824i | ||||
\(190\) | −3564.95 | + | 741.588i | −1.36120 | + | 0.283160i | ||||
\(191\) | 341.527 | − | 4557.37i | 0.129382 | − | 1.72649i | −0.434532 | − | 0.900656i | \(-0.643086\pi\) |
0.563915 | − | 0.825833i | \(-0.309295\pi\) | |||||||
\(192\) | 1064.52 | + | 562.616i | 0.400131 | + | 0.211475i | ||||
\(193\) | −405.319 | − | 2142.16i | −0.151168 | − | 0.798945i | −0.973281 | − | 0.229619i | \(-0.926252\pi\) |
0.822112 | − | 0.569326i | \(-0.192796\pi\) | |||||||
\(194\) | −927.341 | + | 139.774i | −0.343192 | + | 0.0517278i | ||||
\(195\) | −104.941 | + | 793.411i | −0.0385383 | + | 0.291371i | ||||
\(196\) | −596.137 | − | 404.876i | −0.217251 | − | 0.147549i | ||||
\(197\) | −143.318 | + | 143.318i | −0.0518324 | + | 0.0518324i | −0.732548 | − | 0.680715i | \(-0.761669\pi\) |
0.680715 | + | 0.732548i | \(0.261669\pi\) | |||||||
\(198\) | −986.448 | − | 728.032i | −0.354060 | − | 0.261308i | ||||
\(199\) | 614.996 | + | 419.297i | 0.219075 | + | 0.149363i | 0.667885 | − | 0.744264i | \(-0.267200\pi\) |
−0.448810 | + | 0.893627i | \(0.648152\pi\) | |||||||
\(200\) | 2245.49 | + | 2088.55i | 0.793902 | + | 0.738415i | ||||
\(201\) | −91.3142 | − | 6.84306i | −0.0320438 | − | 0.00240135i | ||||
\(202\) | 210.819 | + | 602.486i | 0.0734315 | + | 0.209855i | ||||
\(203\) | 389.712 | + | 618.991i | 0.134741 | + | 0.214013i | ||||
\(204\) | −9.84271 | − | 20.4386i | −0.00337808 | − | 0.00701465i | ||||
\(205\) | −4884.81 | + | 1208.33i | −1.66425 | + | 0.411676i | ||||
\(206\) | −2607.73 | + | 195.423i | −0.881988 | + | 0.0660958i | ||||
\(207\) | −1523.79 | − | 3492.55i | −0.511644 | − | 1.17270i | ||||
\(208\) | −1273.93 | + | 673.292i | −0.424669 | + | 0.224444i | ||||
\(209\) | 1877.04 | + | 2353.74i | 0.621234 | + | 0.779002i | ||||
\(210\) | −333.773 | + | 1015.33i | −0.109679 | + | 0.333640i | ||||
\(211\) | −3219.74 | + | 4037.43i | −1.05050 | + | 1.31729i | −0.104006 | + | 0.994577i | \(0.533166\pi\) |
−0.946497 | + | 0.322713i | \(0.895405\pi\) | |||||||
\(212\) | −41.8360 | + | 221.109i | −0.0135533 | + | 0.0716312i | ||||
\(213\) | −61.5645 | + | 1645.35i | −0.0198044 | + | 0.529283i | ||||
\(214\) | −4246.98 | + | 2451.99i | −1.35662 | + | 0.783247i | ||||
\(215\) | 2553.29 | − | 334.583i | 0.809922 | − | 0.106132i | ||||
\(216\) | 2515.26 | − | 574.093i | 0.792324 | − | 0.180843i | ||||
\(217\) | −2298.34 | − | 1974.29i | −0.718992 | − | 0.617621i | ||||
\(218\) | 2386.16 | − | 1499.33i | 0.741336 | − | 0.465812i | ||||
\(219\) | 562.599 | − | 606.338i | 0.173593 | − | 0.187089i | ||||
\(220\) | 146.298 | − | 506.665i | 0.0448337 | − | 0.155270i | ||||
\(221\) | 169.224 | + | 25.5065i | 0.0515080 | + | 0.00776358i | ||||
\(222\) | 10.1504 | + | 271.274i | 0.00306868 | + | 0.0820122i | ||||
\(223\) | 56.1936 | + | 89.4316i | 0.0168745 | + | 0.0268555i | 0.855055 | − | 0.518537i | \(-0.173523\pi\) |
−0.838180 | + | 0.545393i | \(0.816380\pi\) | |||||||
\(224\) | 1634.18 | − | 505.682i | 0.487447 | − | 0.150836i | ||||
\(225\) | 2808.35 | + | 108.470i | 0.832105 | + | 0.0321391i | ||||
\(226\) | −2384.98 | + | 4130.91i | −0.701977 | + | 1.21586i | ||||
\(227\) | −710.128 | + | 2650.23i | −0.207634 | + | 0.774900i | 0.780997 | + | 0.624535i | \(0.214711\pi\) |
−0.988631 | + | 0.150365i | \(0.951955\pi\) | |||||||
\(228\) | −598.295 | − | 22.3866i | −0.173785 | − | 0.00650259i | ||||
\(229\) | 1591.85 | − | 1085.30i | 0.459355 | − | 0.313183i | −0.311440 | − | 0.950266i | \(-0.600811\pi\) |
0.770796 | + | 0.637083i | \(0.219859\pi\) | |||||||
\(230\) | −3316.42 | + | 3190.80i | −0.950775 | + | 0.914761i | ||||
\(231\) | 873.666 | − | 132.485i | 0.248844 | − | 0.0377354i | ||||
\(232\) | −962.839 | − | 108.486i | −0.272472 | − | 0.0307002i | ||||
\(233\) | −1010.37 | − | 1911.71i | −0.284084 | − | 0.537513i | 0.700235 | − | 0.713913i | \(-0.253079\pi\) |
−0.984319 | + | 0.176400i | \(0.943555\pi\) | |||||||
\(234\) | −671.997 | + | 1712.22i | −0.187734 | + | 0.478339i | ||||
\(235\) | −4318.77 | + | 3854.81i | −1.19883 | + | 1.07004i | ||||
\(236\) | −475.059 | + | 186.447i | −0.131033 | + | 0.0514265i | ||||
\(237\) | −2189.48 | − | 766.133i | −0.600093 | − | 0.209982i | ||||
\(238\) | 215.785 | + | 75.2893i | 0.0587700 | + | 0.0205054i | ||||
\(239\) | −280.727 | + | 582.936i | −0.0759780 | + | 0.157770i | −0.935498 | − | 0.353333i | \(-0.885048\pi\) |
0.859520 | + | 0.511102i | \(0.170763\pi\) | |||||||
\(240\) | −556.257 | − | 850.706i | −0.149609 | − | 0.228803i | ||||
\(241\) | 1325.60 | + | 4297.49i | 0.354313 | + | 1.14865i | 0.940876 | + | 0.338750i | \(0.110004\pi\) |
−0.586564 | + | 0.809903i | \(0.699520\pi\) | |||||||
\(242\) | −1973.47 | + | 373.400i | −0.524212 | + | 0.0991862i | ||||
\(243\) | 2170.13 | − | 2940.42i | 0.572896 | − | 0.776247i | ||||
\(244\) | 918.622 | 0.241020 | ||||||||
\(245\) | 1732.27 | + | 3421.31i | 0.451717 | + | 0.892161i | ||||
\(246\) | 2323.15 | 0.602108 | ||||||||
\(247\) | 2682.09 | − | 3634.11i | 0.690921 | − | 0.936165i | ||||
\(248\) | 3943.61 | − | 746.171i | 1.00976 | − | 0.191056i | ||||
\(249\) | 673.365 | + | 2183.00i | 0.171377 | + | 0.555589i | ||||
\(250\) | −1055.15 | − | 3226.18i | −0.266934 | − | 0.816166i | ||||
\(251\) | 2181.55 | − | 4530.04i | 0.548600 | − | 1.13918i | −0.423778 | − | 0.905766i | \(-0.639296\pi\) |
0.972378 | − | 0.233413i | \(-0.0749893\pi\) | |||||||
\(252\) | 464.779 | − | 741.166i | 0.116184 | − | 0.185274i | ||||
\(253\) | 3591.47 | + | 1256.71i | 0.892466 | + | 0.312287i | ||||
\(254\) | −4889.90 | + | 1919.15i | −1.20795 | + | 0.474086i | ||||
\(255\) | −6.84144 | + | 120.526i | −0.00168011 | + | 0.0295986i | ||||
\(256\) | −1090.55 | + | 2778.67i | −0.266247 | + | 0.678386i | ||||
\(257\) | 1623.02 | + | 3070.90i | 0.393934 | + | 0.745360i | 0.998696 | − | 0.0510463i | \(-0.0162556\pi\) |
−0.604762 | + | 0.796406i | \(0.706732\pi\) | |||||||
\(258\) | −1181.38 | − | 133.110i | −0.285077 | − | 0.0321204i | ||||
\(259\) | 714.607 | + | 661.867i | 0.171442 | + | 0.158789i | ||||
\(260\) | −791.048 | − | 15.2710i | −0.188687 | − | 0.00364256i | ||||
\(261\) | −733.688 | + | 500.220i | −0.174000 | + | 0.118632i | ||||
\(262\) | 1438.04 | + | 53.8075i | 0.339092 | + | 0.0126879i | ||||
\(263\) | −855.505 | + | 3192.79i | −0.200581 | + | 0.748577i | 0.790171 | + | 0.612887i | \(0.209992\pi\) |
−0.990751 | + | 0.135690i | \(0.956675\pi\) | |||||||
\(264\) | −585.273 | + | 1013.72i | −0.136444 | + | 0.236327i | ||||
\(265\) | 764.573 | − | 921.673i | 0.177235 | − | 0.213653i | ||||
\(266\) | 4417.92 | − | 4106.60i | 1.01835 | − | 0.946586i | ||||
\(267\) | −317.500 | − | 505.299i | −0.0727742 | − | 0.115819i | ||||
\(268\) | −3.38488 | − | 90.4629i | −0.000771510 | − | 0.0206190i | ||||
\(269\) | 6416.46 | + | 967.126i | 1.45434 | + | 0.219207i | 0.828170 | − | 0.560476i | \(-0.189382\pi\) |
0.626174 | + | 0.779684i | \(0.284620\pi\) | |||||||
\(270\) | −2743.56 | − | 792.196i | −0.618399 | − | 0.178561i | ||||
\(271\) | −1347.37 | + | 1452.12i | −0.302018 | + | 0.325498i | −0.865766 | − | 0.500449i | \(-0.833168\pi\) |
0.563748 | + | 0.825947i | \(0.309359\pi\) | |||||||
\(272\) | −184.033 | + | 115.635i | −0.0410243 | + | 0.0257773i | ||||
\(273\) | −531.239 | − | 1214.64i | −0.117773 | − | 0.269280i | ||||
\(274\) | 261.233 | − | 59.6247i | 0.0575973 | − | 0.0131462i | ||||
\(275\) | −1986.81 | + | 1982.03i | −0.435670 | + | 0.434621i | ||||
\(276\) | −655.328 | + | 378.354i | −0.142921 | + | 0.0825153i | ||||
\(277\) | −157.774 | + | 4216.59i | −0.0342228 | + | 0.914623i | 0.871409 | + | 0.490558i | \(0.163207\pi\) |
−0.905632 | + | 0.424065i | \(0.860603\pi\) | |||||||
\(278\) | 1285.43 | − | 6793.67i | 0.277320 | − | 1.46567i | ||||
\(279\) | 2293.37 | − | 2875.79i | 0.492116 | − | 0.617094i | ||||
\(280\) | −4973.11 | − | 1036.12i | −1.06143 | − | 0.221143i | ||||
\(281\) | 2373.82 | + | 2976.67i | 0.503950 | + | 0.631933i | 0.967115 | − | 0.254339i | \(-0.0818578\pi\) |
−0.463165 | + | 0.886272i | \(0.653286\pi\) | |||||||
\(282\) | 2362.86 | − | 1248.81i | 0.498958 | − | 0.263707i | ||||
\(283\) | −3052.00 | − | 6995.27i | −0.641070 | − | 1.46935i | −0.868568 | − | 0.495570i | \(-0.834959\pi\) |
0.227498 | − | 0.973779i | \(-0.426946\pi\) | |||||||
\(284\) | −1623.17 | + | 121.640i | −0.339147 | + | 0.0254155i | ||||
\(285\) | 2727.97 | + | 1646.00i | 0.566986 | + | 0.342108i | ||||
\(286\) | −796.922 | − | 1654.83i | −0.164766 | − | 0.342139i | ||||
\(287\) | 5888.87 | − | 5899.44i | 1.21118 | − | 1.21335i | ||||
\(288\) | 685.892 | + | 1960.17i | 0.140335 | + | 0.401055i | ||||
\(289\) | −4873.52 | − | 365.220i | −0.991964 | − | 0.0743374i | ||||
\(290\) | 874.292 | + | 621.135i | 0.177035 | + | 0.125774i | ||||
\(291\) | 677.998 | + | 462.251i | 0.136581 | + | 0.0931191i | ||||
\(292\) | 657.928 | + | 485.573i | 0.131857 | + | 0.0973151i | ||||
\(293\) | 607.550 | − | 607.550i | 0.121138 | − | 0.121138i | −0.643939 | − | 0.765077i | \(-0.722701\pi\) |
0.765077 | + | 0.643939i | \(0.222701\pi\) | |||||||
\(294\) | −397.054 | − | 1725.34i | −0.0787641 | − | 0.342259i | ||||
\(295\) | 2692.34 | + | 356.103i | 0.531369 | + | 0.0702817i | ||||
\(296\) | −1275.85 | + | 192.303i | −0.250531 | + | 0.0377615i | ||||
\(297\) | 438.938 | + | 2319.84i | 0.0857568 | + | 0.453236i | ||||
\(298\) | −3278.15 | − | 1732.55i | −0.637242 | − | 0.336792i | ||||
\(299\) | 426.603 | − | 5692.62i | 0.0825119 | − | 1.10105i | ||||
\(300\) | −41.0374 | − | 556.603i | −0.00789764 | − | 0.107118i | ||||
\(301\) | −3332.67 | + | 2662.61i | −0.638179 | + | 0.509867i | ||||
\(302\) | −1742.57 | + | 4979.98i | −0.332032 | + | 0.948892i | ||||
\(303\) | 223.345 | − | 511.913i | 0.0423461 | − | 0.0970582i | ||||
\(304\) | 428.673 | + | 5720.24i | 0.0808752 | + | 1.07921i | ||||
\(305\) | −4277.10 | − | 2367.24i | −0.802971 | − | 0.444418i | ||||
\(306\) | −81.7799 | + | 265.124i | −0.0152779 | + | 0.0495298i | ||||
\(307\) | −227.502 | + | 2019.14i | −0.0422939 | + | 0.375369i | 0.954680 | + | 0.297634i | \(0.0961974\pi\) |
−0.996974 | + | 0.0777352i | \(0.975231\pi\) | |||||||
\(308\) | 226.855 | + | 843.610i | 0.0419684 | + | 0.156069i | ||||
\(309\) | 1788.95 | + | 1426.64i | 0.329352 | + | 0.262650i | ||||
\(310\) | −4219.04 | − | 1391.13i | −0.772985 | − | 0.254874i | ||||
\(311\) | 883.046 | + | 951.698i | 0.161006 | + | 0.173524i | 0.808402 | − | 0.588630i | \(-0.200333\pi\) |
−0.647396 | + | 0.762154i | \(0.724142\pi\) | |||||||
\(312\) | 1696.31 | + | 454.526i | 0.307804 | + | 0.0824759i | ||||
\(313\) | 72.3234 | + | 269.915i | 0.0130606 | + | 0.0487427i | 0.972149 | − | 0.234365i | \(-0.0753012\pi\) |
−0.959088 | + | 0.283108i | \(0.908635\pi\) | |||||||
\(314\) | 1510.35 | + | 6617.27i | 0.271446 | + | 1.18928i | ||||
\(315\) | −4073.95 | + | 2253.16i | −0.728703 | + | 0.403019i | ||||
\(316\) | 510.286 | − | 2235.71i | 0.0908412 | − | 0.398001i | ||||
\(317\) | −2867.43 | + | 107.292i | −0.508048 | + | 0.0190098i | −0.290187 | − | 0.956970i | \(-0.593717\pi\) |
−0.217861 | + | 0.975980i | \(0.569908\pi\) | |||||||
\(318\) | −444.830 | + | 328.299i | −0.0784428 | + | 0.0578934i | ||||
\(319\) | 132.156 | − | 876.800i | 0.0231954 | − | 0.153892i | ||||
\(320\) | 4880.13 | − | 4038.39i | 0.852523 | − | 0.705478i | ||||
\(321\) | 4183.38 | + | 954.829i | 0.727394 | + | 0.166023i | ||||
\(322\) | 1966.50 | − | 7365.48i | 0.340338 | − | 1.27473i | ||||
\(323\) | 362.470 | − | 576.868i | 0.0624408 | − | 0.0993740i | ||||
\(324\) | 697.895 | + | 402.930i | 0.119667 | + | 0.0690895i | ||||
\(325\) | 3643.77 | + | 2109.59i | 0.621907 | + | 0.360058i | ||||
\(326\) | −2346.05 | + | 2176.81i | −0.398575 | + | 0.369824i | ||||
\(327\) | −2422.84 | − | 458.427i | −0.409736 | − | 0.0775262i | ||||
\(328\) | 1236.30 | + | 10972.4i | 0.208119 | + | 1.84711i | ||||
\(329\) | 2818.29 | − | 9165.83i | 0.472271 | − | 1.53595i | ||||
\(330\) | 1110.14 | − | 668.015i | 0.185186 | − | 0.111433i | ||||
\(331\) | 981.243 | + | 302.673i | 0.162943 | + | 0.0502611i | 0.375153 | − | 0.926963i | \(-0.377590\pi\) |
−0.212211 | + | 0.977224i | \(0.568066\pi\) | |||||||
\(332\) | −2070.00 | + | 903.133i | −0.342187 | + | 0.149295i | ||||
\(333\) | −771.310 | + | 896.279i | −0.126930 | + | 0.147495i | ||||
\(334\) | −3183.91 | − | 8112.46i | −0.521604 | − | 1.32902i | ||||
\(335\) | −217.358 | + | 429.918i | −0.0354493 | + | 0.0701162i | ||||
\(336\) | 1517.63 | + | 729.175i | 0.246409 | + | 0.118392i | ||||
\(337\) | −287.032 | + | 100.437i | −0.0463966 | + | 0.0162349i | −0.353378 | − | 0.935481i | \(-0.614967\pi\) |
0.306981 | + | 0.951716i | \(0.400681\pi\) | |||||||
\(338\) | 1955.92 | − | 1683.20i | 0.314757 | − | 0.270870i | ||||
\(339\) | 3988.27 | − | 1230.22i | 0.638977 | − | 0.197098i | ||||
\(340\) | −119.160 | + | 6.61988i | −0.0190069 | + | 0.00105592i | ||||
\(341\) | 547.428 | + | 3631.95i | 0.0869352 | + | 0.576777i | ||||
\(342\) | 5177.83 | + | 5177.83i | 0.818670 | + | 0.818670i | ||||
\(343\) | −5387.84 | − | 3365.23i | −0.848152 | − | 0.529753i | ||||
\(344\) | − | 5650.62i | − | 0.885643i | ||||||
\(345\) | 4026.20 | − | 72.8724i | 0.628300 | − | 0.0113719i | ||||
\(346\) | 704.902 | − | 1033.90i | 0.109525 | − | 0.160644i | ||||
\(347\) | 52.4918 | − | 99.3194i | 0.00812077 | − | 0.0153653i | −0.880022 | − | 0.474934i | \(-0.842472\pi\) |
0.888142 | + | 0.459568i | \(0.151996\pi\) | |||||||
\(348\) | 115.025 | + | 133.661i | 0.0177183 | + | 0.0205891i | ||||
\(349\) | 624.871 | + | 300.922i | 0.0958412 | + | 0.0461547i | 0.481190 | − | 0.876616i | \(-0.340205\pi\) |
−0.385349 | + | 0.922771i | \(0.625919\pi\) | |||||||
\(350\) | 4260.75 | + | 3668.96i | 0.650704 | + | 0.560326i | ||||
\(351\) | 3191.39 | − | 1536.89i | 0.485310 | − | 0.233713i | ||||
\(352\) | −1900.68 | − | 829.259i | −0.287803 | − | 0.125567i | ||||
\(353\) | −4815.58 | − | 4144.15i | −0.726084 | − | 0.624846i | 0.209558 | − | 0.977796i | \(-0.432797\pi\) |
−0.935642 | + | 0.352950i | \(0.885178\pi\) | |||||||
\(354\) | −1167.13 | − | 458.064i | −0.175232 | − | 0.0687735i | ||||
\(355\) | 7870.95 | + | 3616.47i | 1.17675 | + | 0.540682i | ||||
\(356\) | 461.253 | − | 367.837i | 0.0686695 | − | 0.0547621i | ||||
\(357\) | −93.5997 | − | 176.716i | −0.0138763 | − | 0.0261983i | ||||
\(358\) | 3254.17 | − | 366.656i | 0.480413 | − | 0.0541296i | ||||
\(359\) | 16.9475 | + | 24.8574i | 0.00249151 | + | 0.00365438i | 0.827483 | − | 0.561491i | \(-0.189772\pi\) |
−0.824991 | + | 0.565146i | \(0.808820\pi\) | |||||||
\(360\) | 1036.67 | − | 6079.24i | 0.151771 | − | 0.890012i | ||||
\(361\) | −5560.97 | − | 9631.88i | −0.810755 | − | 1.40427i | ||||
\(362\) | 3552.96 | − | 952.012i | 0.515855 | − | 0.138223i | ||||
\(363\) | 1488.04 | + | 934.999i | 0.215157 | + | 0.135192i | ||||
\(364\) | 1134.44 | − | 656.326i | 0.163354 | − | 0.0945078i | ||||
\(365\) | −1812.02 | − | 3956.27i | −0.259850 | − | 0.567344i | ||||
\(366\) | 1654.41 | + | 1535.07i | 0.236277 | + | 0.219233i | ||||
\(367\) | −3632.85 | − | 4922.33i | −0.516711 | − | 0.700119i | 0.466100 | − | 0.884732i | \(-0.345659\pi\) |
−0.982811 | + | 0.184613i | \(0.940897\pi\) | |||||||
\(368\) | 4305.21 | + | 5833.36i | 0.609850 | + | 0.826317i | ||||
\(369\) | 7418.05 | + | 6882.95i | 1.04653 | + | 0.971035i | ||||
\(370\) | 1338.64 | + | 497.614i | 0.188088 | + | 0.0699182i | ||||
\(371\) | −293.896 | + | 1961.80i | −0.0411275 | + | 0.274533i | ||||
\(372\) | −618.491 | − | 388.624i | −0.0862024 | − | 0.0541645i | ||||
\(373\) | −2526.99 | + | 677.104i | −0.350784 | + | 0.0939923i | −0.429909 | − | 0.902872i | \(-0.641454\pi\) |
0.0791245 | + | 0.996865i | \(0.474788\pi\) | |||||||
\(374\) | −138.525 | − | 239.932i | −0.0191523 | − | 0.0331728i | ||||
\(375\) | −1243.26 | + | 2697.30i | −0.171205 | + | 0.371434i | ||||
\(376\) | 7155.66 | + | 10495.4i | 0.981449 | + | 1.43952i | ||||
\(377\) | −1321.94 | + | 148.947i | −0.180593 | + | 0.0203480i | ||||
\(378\) | 4568.09 | − | 1228.41i | 0.621581 | − | 0.167149i | ||||
\(379\) | −3185.58 | + | 2540.41i | −0.431747 | + | 0.344307i | −0.815125 | − | 0.579285i | \(-0.803332\pi\) |
0.383378 | + | 0.923591i | \(0.374761\pi\) | |||||||
\(380\) | −1315.05 | + | 2862.10i | −0.177528 | + | 0.386376i | ||||
\(381\) | 4278.64 | + | 1679.24i | 0.575332 | + | 0.225801i | ||||
\(382\) | 8413.45 | + | 7240.36i | 1.12688 | + | 0.969761i | ||||
\(383\) | −8997.02 | − | 3925.36i | −1.20033 | − | 0.523698i | −0.297925 | − | 0.954589i | \(-0.596295\pi\) |
−0.902404 | + | 0.430891i | \(0.858199\pi\) | |||||||
\(384\) | −1219.96 | + | 587.500i | −0.162124 | + | 0.0780748i | ||||
\(385\) | 1117.70 | − | 4512.44i | 0.147956 | − | 0.597338i | ||||
\(386\) | 4770.80 | + | 2297.50i | 0.629087 | + | 0.302952i | ||||
\(387\) | −3377.91 | − | 3925.20i | −0.443692 | − | 0.515579i | ||||
\(388\) | −379.061 | + | 717.219i | −0.0495977 | + | 0.0938435i | ||||
\(389\) | −6113.56 | + | 8966.94i | −0.796837 | + | 1.16875i | 0.185687 | + | 0.982609i | \(0.440549\pi\) |
−0.982524 | + | 0.186136i | \(0.940403\pi\) | |||||||
\(390\) | −1399.13 | − | 1349.39i | −0.181661 | − | 0.175202i | ||||
\(391\) | − | 861.081i | − | 0.111373i | ||||||
\(392\) | 7937.66 | − | 2793.49i | 1.02274 | − | 0.359930i | ||||
\(393\) | −890.357 | − | 890.357i | −0.114281 | − | 0.114281i | ||||
\(394\) | −73.3696 | − | 486.775i | −0.00938149 | − | 0.0622421i | ||||
\(395\) | −8137.19 | + | 9094.48i | −1.03652 | + | 1.15846i | ||||
\(396\) | −1013.41 | + | 312.595i | −0.128600 | + | 0.0396679i | ||||
\(397\) | −2178.92 | + | 1875.11i | −0.275458 | + | 0.237051i | −0.779158 | − | 0.626828i | \(-0.784353\pi\) |
0.503699 | + | 0.863879i | \(0.331972\pi\) | |||||||
\(398\) | −1706.38 | + | 597.089i | −0.214907 | + | 0.0751994i | ||||
\(399\) | −5277.76 | + | 4.73064i | −0.662202 | + | 0.000593555i | ||||
\(400\) | −5255.27 | + | 987.794i | −0.656909 | + | 0.123474i | ||||
\(401\) | −3497.49 | − | 8911.45i | −0.435552 | − | 1.10977i | −0.965191 | − | 0.261545i | \(-0.915768\pi\) |
0.529640 | − | 0.848223i | \(-0.322327\pi\) | |||||||
\(402\) | 145.072 | − | 168.577i | 0.0179989 | − | 0.0209151i | ||||
\(403\) | 5050.72 | − | 2203.61i | 0.624303 | − | 0.272381i | ||||
\(404\) | 527.616 | + | 162.748i | 0.0649749 | + | 0.0200421i | ||||
\(405\) | −2211.07 | − | 3674.48i | −0.271282 | − | 0.450830i | ||||
\(406\) | −1771.70 | − | 131.174i | −0.216572 | − | 0.0160346i | ||||
\(407\) | −132.204 | − | 1173.34i | −0.0161010 | − | 0.142900i | ||||
\(408\) | 260.280 | + | 49.2476i | 0.0315828 | + | 0.00597578i | ||||
\(409\) | 979.598 | − | 908.934i | 0.118430 | − | 0.109887i | −0.618735 | − | 0.785600i | \(-0.712354\pi\) |
0.737165 | + | 0.675713i | \(0.236164\pi\) | |||||||
\(410\) | 4683.88 | − | 11288.7i | 0.564197 | − | 1.35977i | ||||
\(411\) | −203.045 | − | 117.228i | −0.0243685 | − | 0.0140692i | ||||
\(412\) | −1203.49 | + | 1915.34i | −0.143912 | + | 0.229035i | ||||
\(413\) | −4121.73 | + | 1802.69i | −0.491082 | + | 0.214781i | ||||
\(414\) | 9022.86 | + | 2059.41i | 1.07113 | + | 0.244479i | ||||
\(415\) | 11965.3 | + | 1129.29i | 1.41530 | + | 0.133578i | ||||
\(416\) | −463.693 | + | 3076.40i | −0.0546501 | + | 0.362580i | ||||
\(417\) | −4867.74 | + | 3592.55i | −0.571640 | + | 0.421890i | ||||
\(418\) | −7306.88 | + | 273.404i | −0.855003 | + | 0.0319920i | ||||
\(419\) | 2035.25 | − | 8917.01i | 0.237299 | − | 1.03968i | −0.706125 | − | 0.708088i | \(-0.749558\pi\) |
0.943424 | − | 0.331589i | \(-0.107585\pi\) | |||||||
\(420\) | 535.213 | + | 753.843i | 0.0621803 | + | 0.0875804i | ||||
\(421\) | 758.591 | + | 3323.60i | 0.0878182 | + | 0.384757i | 0.999668 | − | 0.0257674i | \(-0.00820294\pi\) |
−0.911850 | + | 0.410524i | \(0.865346\pi\) | |||||||
\(422\) | −3246.23 | − | 12115.1i | −0.374464 | − | 1.39752i | ||||
\(423\) | 11244.8 | + | 3013.03i | 1.29253 | + | 0.346332i | ||||
\(424\) | −1787.31 | − | 1926.26i | −0.204716 | − | 0.220631i | ||||
\(425\) | 571.868 | + | 276.246i | 0.0652698 | + | 0.0315292i | ||||
\(426\) | −3126.55 | − | 2493.34i | −0.355591 | − | 0.283575i | ||||
\(427\) | 8091.87 | − | 310.040i | 0.917080 | − | 0.0351379i | ||||
\(428\) | −474.958 | + | 4215.36i | −0.0536400 | + | 0.476069i | ||||
\(429\) | −473.707 | + | 1535.72i | −0.0533118 | + | 0.172833i | ||||
\(430\) | −3028.69 | + | 5472.21i | −0.339666 | + | 0.613706i | ||||
\(431\) | −213.774 | − | 2852.62i | −0.0238913 | − | 0.318807i | −0.996327 | − | 0.0856343i | \(-0.972708\pi\) |
0.972435 | − | 0.233173i | \(-0.0749107\pi\) | |||||||
\(432\) | −1798.97 | + | 4123.29i | −0.200355 | + | 0.459218i | ||||
\(433\) | 15.8061 | − | 45.1713i | 0.00175426 | − | 0.00501338i | −0.943003 | − | 0.332785i | \(-0.892012\pi\) |
0.944757 | + | 0.327771i | \(0.106298\pi\) | |||||||
\(434\) | 7172.99 | − | 1643.95i | 0.793351 | − | 0.181826i | ||||
\(435\) | −191.118 | − | 918.740i | −0.0210653 | − | 0.101265i | ||||
\(436\) | 182.171 | − | 2430.90i | 0.0200101 | − | 0.267016i | ||||
\(437\) | −20092.3 | − | 10619.1i | −2.19942 | − | 1.16243i | ||||
\(438\) | 373.488 | + | 1973.93i | 0.0407442 | + | 0.215338i | ||||
\(439\) | 8622.85 | − | 1299.69i | 0.937463 | − | 0.141300i | 0.337498 | − | 0.941326i | \(-0.390419\pi\) |
0.599965 | + | 0.800026i | \(0.295181\pi\) | |||||||
\(440\) | 3745.87 | + | 4887.81i | 0.405858 | + | 0.529585i | ||||
\(441\) | 3843.96 | − | 6685.58i | 0.415069 | − | 0.721907i | ||||
\(442\) | −293.912 | + | 293.912i | −0.0316289 | + | 0.0316289i | ||||
\(443\) | 8273.05 | + | 6105.79i | 0.887278 | + | 0.654841i | 0.939036 | − | 0.343818i | \(-0.111720\pi\) |
−0.0517577 | + | 0.998660i | \(0.516482\pi\) | |||||||
\(444\) | 194.018 | + | 132.280i | 0.0207381 | + | 0.0141390i | ||||
\(445\) | −3095.49 | + | 524.026i | −0.329753 | + | 0.0558230i | ||||
\(446\) | −255.814 | − | 19.1706i | −0.0271595 | − | 0.00203532i | ||||
\(447\) | 1071.54 | + | 3062.27i | 0.113382 | + | 0.324028i | ||||
\(448\) | −3456.71 | + | 9907.18i | −0.364540 | + | 1.04480i | ||||
\(449\) | −74.7352 | − | 155.189i | −0.00785517 | − | 0.0163114i | 0.897004 | − | 0.442022i | \(-0.145739\pi\) |
−0.904860 | + | 0.425710i | \(0.860024\pi\) | |||||||
\(450\) | −4262.37 | + | 5331.65i | −0.446511 | + | 0.558526i | ||||
\(451\) | −10076.6 | + | 755.134i | −1.05208 | + | 0.0788423i | ||||
\(452\) | 1650.00 | + | 3781.84i | 0.171702 | + | 0.393546i | ||||
\(453\) | 4081.54 | − | 2157.15i | 0.423327 | − | 0.223735i | ||||
\(454\) | −4154.90 | − | 5210.08i | −0.429514 | − | 0.538593i | ||||
\(455\) | −6973.27 | + | 132.465i | −0.718488 | + | 0.0136485i | ||||
\(456\) | 4358.99 | − | 5466.00i | 0.447650 | − | 0.561335i | ||||
\(457\) | −2663.31 | + | 14075.9i | −0.272613 | + | 1.44079i | 0.531874 | + | 0.846824i | \(0.321488\pi\) |
−0.804487 | + | 0.593971i | \(0.797559\pi\) | |||||||
\(458\) | −174.967 | + | 4676.10i | −0.0178508 | + | 0.477073i | ||||
\(459\) | 462.719 | − | 267.151i | 0.0470542 | − | 0.0271667i | ||||
\(460\) | 517.241 | + | 3947.20i | 0.0524271 | + | 0.400086i | ||||
\(461\) | −7570.45 | + | 1727.91i | −0.764840 | + | 0.174570i | −0.587107 | − | 0.809509i | \(-0.699733\pi\) |
−0.177733 | + | 0.984079i | \(0.556876\pi\) | |||||||
\(462\) | −1001.16 | + | 1898.40i | −0.100818 | + | 0.191172i | ||||
\(463\) | −11005.5 | + | 6915.23i | −1.10469 | + | 0.694121i | −0.955589 | − | 0.294701i | \(-0.904780\pi\) |
−0.149098 | + | 0.988822i | \(0.547637\pi\) | |||||||
\(464\) | 1149.17 | − | 1238.51i | 0.114976 | − | 0.123914i | ||||
\(465\) | 1878.23 | + | 3403.25i | 0.187314 | + | 0.339402i | ||||
\(466\) | 5193.10 | + | 782.733i | 0.516235 | + | 0.0778099i | ||||
\(467\) | −474.006 | − | 12668.1i | −0.0469687 | − | 1.25526i | −0.801096 | − | 0.598536i | \(-0.795749\pi\) |
0.754128 | − | 0.656728i | \(-0.228060\pi\) | |||||||
\(468\) | 846.511 | + | 1347.21i | 0.0836110 | + | 0.133066i | ||||
\(469\) | −60.3482 | − | 795.719i | −0.00594162 | − | 0.0783430i | ||||
\(470\) | −1304.26 | − | 13999.4i | −0.128003 | − | 1.37393i | ||||
\(471\) | 2969.49 | − | 5143.31i | 0.290503 | − | 0.503166i | ||||
\(472\) | 1542.37 | − | 5756.22i | 0.150410 | − | 0.561338i | ||||
\(473\) | 5167.47 | + | 193.353i | 0.502327 | + | 0.0187957i | ||||
\(474\) | 4655.00 | − | 3173.72i | 0.451078 | − | 0.307540i | ||||
\(475\) | 13498.4 | − | 9937.14i | 1.30389 | − | 0.959889i | ||||
\(476\) | 163.242 | − | 111.511i | 0.0157189 | − | 0.0107376i | ||||
\(477\) | −2393.06 | − | 269.633i | −0.229708 | − | 0.0258819i | ||||
\(478\) | −734.292 | − | 1389.35i | −0.0702630 | − | 0.132944i | ||||
\(479\) | 5684.47 | − | 14483.8i | 0.542234 | − | 1.38159i | −0.352845 | − | 0.935682i | \(-0.614786\pi\) |
0.895079 | − | 0.445908i | \(-0.147119\pi\) | |||||||
\(480\) | −2191.10 | − | 124.374i | −0.208353 | − | 0.0118268i | ||||
\(481\) | −1649.03 | + | 647.195i | −0.156318 | + | 0.0613505i | ||||
\(482\) | −10310.0 | − | 3607.64i | −0.974293 | − | 0.340920i | ||||
\(483\) | −5644.90 | + | 3553.99i | −0.531784 | + | 0.334807i | ||||
\(484\) | −753.818 | + | 1565.32i | −0.0707943 | + | 0.147006i | ||||
\(485\) | 3613.14 | − | 2362.55i | 0.338277 | − | 0.221192i | ||||
\(486\) | 2616.27 | + | 8481.75i | 0.244190 | + | 0.791646i | ||||
\(487\) | 3215.81 | − | 608.463i | 0.299224 | − | 0.0566162i | −0.0341318 | − | 0.999417i | \(-0.510867\pi\) |
0.333356 | + | 0.942801i | \(0.391819\pi\) | |||||||
\(488\) | −6369.85 | + | 8630.83i | −0.590880 | + | 0.800614i | ||||
\(489\) | 2800.32 | 0.258967 | ||||||||
\(490\) | −9184.33 | − | 1549.24i | −0.846747 | − | 0.142831i | ||||
\(491\) | −4202.82 | −0.386295 | −0.193147 | − | 0.981170i | \(-0.561870\pi\) | ||||
−0.193147 | + | 0.981170i | \(0.561870\pi\) | |||||||
\(492\) | 1193.32 | − | 1616.89i | 0.109348 | − | 0.148161i | ||||
\(493\) | −197.165 | + | 37.3057i | −0.0180119 | + | 0.00340804i | ||||
\(494\) | 3233.49 | + | 10482.7i | 0.294497 | + | 0.954736i | ||||
\(495\) | 5523.97 | + | 1156.05i | 0.501584 | + | 0.104971i | ||||
\(496\) | −3036.52 | + | 6305.40i | −0.274887 | + | 0.570808i | ||||
\(497\) | −14257.0 | + | 1619.32i | −1.28675 | + | 0.146150i | ||||
\(498\) | −5237.19 | − | 1832.57i | −0.471253 | − | 0.164899i | ||||
\(499\) | −10614.2 | + | 4165.75i | −0.952215 | + | 0.373717i | −0.790047 | − | 0.613046i | \(-0.789944\pi\) |
−0.162168 | + | 0.986763i | \(0.551849\pi\) | |||||||
\(500\) | −2787.39 | − | 922.803i | −0.249312 | − | 0.0825380i | ||||
\(501\) | −2785.90 | + | 7098.37i | −0.248433 | + | 0.632997i | ||||
\(502\) | 5706.24 | + | 10796.7i | 0.507335 | + | 0.959924i | ||||
\(503\) | 9345.19 | + | 1052.95i | 0.828392 | + | 0.0933374i | 0.515971 | − | 0.856606i | \(-0.327431\pi\) |
0.312422 | + | 0.949944i | \(0.398860\pi\) | |||||||
\(504\) | 3740.72 | + | 9506.13i | 0.330605 | + | 0.840152i | ||||
\(505\) | −2037.19 | − | 2117.39i | −0.179512 | − | 0.186579i | ||||
\(506\) | −7635.73 | + | 5205.95i | −0.670849 | + | 0.457377i | ||||
\(507\) | −2256.31 | − | 84.4253i | −0.197646 | − | 0.00739539i | ||||
\(508\) | −1176.06 | + | 4389.13i | −0.102715 | + | 0.383339i | ||||
\(509\) | −9704.26 | + | 16808.3i | −0.845056 | + | 1.46368i | 0.0405164 | + | 0.999179i | \(0.487100\pi\) |
−0.885572 | + | 0.464501i | \(0.846234\pi\) | |||||||
\(510\) | −225.666 | − | 187.201i | −0.0195934 | − | 0.0162537i | ||||
\(511\) | 5959.38 | + | 4055.21i | 0.515905 | + | 0.351061i | ||||
\(512\) | −6569.08 | − | 10454.6i | −0.567021 | − | 0.902409i | ||||
\(513\) | −527.270 | − | 14091.6i | −0.0453793 | − | 1.21279i | ||||
\(514\) | −8341.99 | − | 1257.35i | −0.715855 | − | 0.107898i | ||||
\(515\) | 10539.2 | − | 5816.51i | 0.901771 | − | 0.497682i | ||||
\(516\) | −699.480 | + | 753.860i | −0.0596761 | + | 0.0643156i | ||||
\(517\) | −9842.87 | + | 6184.69i | −0.837310 | + | 0.526116i | ||||
\(518\) | −2324.08 | + | 441.897i | −0.197131 | + | 0.0374823i | ||||
\(519\) | −1067.46 | + | 243.641i | −0.0902820 | + | 0.0206063i | ||||
\(520\) | 5628.71 | − | 7326.33i | 0.474683 | − | 0.617848i | ||||
\(521\) | 16069.2 | − | 9277.53i | 1.35125 | − | 0.780146i | 0.362827 | − | 0.931856i | \(-0.381812\pi\) |
0.988425 | + | 0.151711i | \(0.0484782\pi\) | |||||||
\(522\) | 80.6428 | − | 2155.23i | 0.00676177 | − | 0.180712i | ||||
\(523\) | −2474.28 | + | 13076.9i | −0.206869 | + | 1.09333i | 0.713018 | + | 0.701146i | \(0.247328\pi\) |
−0.919887 | + | 0.392184i | \(0.871720\pi\) | |||||||
\(524\) | 776.119 | − | 973.222i | 0.0647040 | − | 0.0811363i | ||||
\(525\) | −549.343 | − | 4889.11i | −0.0456672 | − | 0.406434i | ||||
\(526\) | −5005.49 | − | 6276.68i | −0.414923 | − | 0.520297i | ||||
\(527\) | 734.880 | − | 388.395i | 0.0607436 | − | 0.0321039i | ||||
\(528\) | −816.211 | − | 1870.78i | −0.0672747 | − | 0.154195i | ||||
\(529\) | −16509.8 | + | 1237.24i | −1.35693 | + | 0.101688i | ||||
\(530\) | 698.418 | + | 2823.43i | 0.0572402 | + | 0.231400i | ||||
\(531\) | −2369.62 | − | 4920.57i | −0.193659 | − | 0.402137i | ||||
\(532\) | −588.831 | − | 5184.25i | −0.0479870 | − | 0.422492i | ||||
\(533\) | 5007.06 | + | 14309.4i | 0.406904 | + | 1.16287i | ||||
\(534\) | 1445.38 | + | 108.316i | 0.117130 | + | 0.00877770i | ||||
\(535\) | 13074.2 | − | 18402.8i | 1.05653 | − | 1.48714i | ||||
\(536\) | 873.407 | + | 595.479i | 0.0703833 | + | 0.0479865i | ||||
\(537\) | −2305.49 | − | 1701.53i | −0.185269 | − | 0.136735i | ||||
\(538\) | −11144.2 | + | 11144.2i | −0.893051 | + | 0.893051i | ||||
\(539\) | 2283.02 | + | 7354.55i | 0.182443 | + | 0.587723i | ||||
\(540\) | −1960.63 | + | 1502.57i | −0.156245 | + | 0.119741i | ||||
\(541\) | −14910.4 | + | 2247.39i | −1.18493 | + | 0.178600i | −0.711795 | − | 0.702387i | \(-0.752117\pi\) |
−0.473139 | + | 0.880988i | \(0.656879\pi\) | |||||||
\(542\) | −894.469 | − | 4727.38i | −0.0708870 | − | 0.374647i | ||||
\(543\) | −2845.52 | − | 1503.90i | −0.224885 | − | 0.118855i | ||||
\(544\) | −35.0698 | + | 467.973i | −0.00276398 | + | 0.0368827i | ||||
\(545\) | −7112.48 | + | 10848.8i | −0.559019 | + | 0.852684i | ||||
\(546\) | 3139.85 | + | 713.689i | 0.246104 | + | 0.0559397i | ||||
\(547\) | −7496.28 | + | 21423.1i | −0.585955 | + | 1.67456i | 0.142768 | + | 0.989756i | \(0.454400\pi\) |
−0.728723 | + | 0.684808i | \(0.759886\pi\) | |||||||
\(548\) | 92.6880 | − | 212.443i | 0.00722525 | − | 0.0165604i | ||||
\(549\) | 734.652 | + | 9803.25i | 0.0571115 | + | 0.762100i | ||||
\(550\) | −1007.77 | − | 6741.25i | −0.0781303 | − | 0.522632i | ||||
\(551\) | −1561.02 | + | 5060.69i | −0.120692 | + | 0.391275i | ||||
\(552\) | 989.340 | − | 8780.63i | 0.0762846 | − | 0.677045i | ||||
\(553\) | 3740.40 | − | 19865.9i | 0.287627 | − | 1.52764i | ||||
\(554\) | −8012.53 | − | 6389.78i | −0.614476 | − | 0.490028i | ||||
\(555\) | −562.473 | − | 1115.87i | −0.0430192 | − | 0.0853440i | ||||
\(556\) | −4068.06 | − | 4384.32i | −0.310295 | − | 0.334419i | ||||
\(557\) | 10556.7 | + | 2828.66i | 0.803056 | + | 0.215178i | 0.636925 | − | 0.770926i | \(-0.280206\pi\) |
0.166131 | + | 0.986104i | \(0.446873\pi\) | |||||||
\(558\) | 2312.23 | + | 8629.37i | 0.175420 | + | 0.654678i | ||||
\(559\) | −1726.34 | − | 7563.59i | −0.130620 | − | 0.572282i | ||||
\(560\) | 6603.02 | − | 5904.31i | 0.498265 | − | 0.445541i | ||||
\(561\) | −53.9430 | + | 236.340i | −0.00405967 | + | 0.0177866i | ||||
\(562\) | −9240.70 | + | 345.762i | −0.693586 | + | 0.0259522i | ||||
\(563\) | −11359.5 | + | 8383.69i | −0.850348 | + | 0.627585i | −0.929313 | − | 0.369292i | \(-0.879600\pi\) |
0.0789657 | + | 0.996877i | \(0.474838\pi\) | |||||||
\(564\) | 344.559 | − | 2286.00i | 0.0257244 | − | 0.170670i | ||||
\(565\) | 2063.19 | − | 21860.2i | 0.153626 | − | 1.62773i | ||||
\(566\) | 18072.0 | + | 4124.81i | 1.34209 | + | 0.306323i | ||||
\(567\) | 6283.55 | + | 3313.75i | 0.465404 | + | 0.245440i | ||||
\(568\) | 10112.4 | − | 16093.8i | 0.747022 | − | 1.18888i | ||||
\(569\) | −4231.51 | − | 2443.06i | −0.311765 | − | 0.179998i | 0.335951 | − | 0.941879i | \(-0.390942\pi\) |
−0.647716 | + | 0.761882i | \(0.724276\pi\) | |||||||
\(570\) | −7151.09 | + | 2957.03i | −0.525485 | + | 0.217292i | ||||
\(571\) | 7948.22 | − | 7374.87i | 0.582527 | − | 0.540506i | −0.332915 | − | 0.942957i | \(-0.608032\pi\) |
0.915441 | + | 0.402451i | \(0.131842\pi\) | |||||||
\(572\) | −1561.10 | − | 295.375i | −0.114113 | − | 0.0215914i | ||||
\(573\) | −1087.44 | − | 9651.33i | −0.0792821 | − | 0.703648i | ||||
\(574\) | 3035.37 | + | 20016.6i | 0.220721 | + | 1.45554i | ||||
\(575\) | 7763.45 | − | 19711.1i | 0.563058 | − | 1.42958i | ||||
\(576\) | −12172.4 | − | 3754.70i | −0.880530 | − | 0.271608i | ||||
\(577\) | −13168.7 | + | 5745.47i | −0.950125 | + | 0.414535i | −0.817048 | − | 0.576570i | \(-0.804391\pi\) |
−0.133077 | + | 0.991106i | \(0.542486\pi\) | |||||||
\(578\) | 7742.63 | − | 8997.11i | 0.557182 | − | 0.647457i | ||||
\(579\) | −1692.72 | − | 4312.99i | −0.121498 | − | 0.309571i | ||||
\(580\) | 881.399 | − | 289.444i | 0.0631002 | − | 0.0207216i | ||||
\(581\) | −17929.2 | + | 8654.07i | −1.28026 | + | 0.617954i | ||||
\(582\) | −1881.19 | + | 658.256i | −0.133982 | + | 0.0468825i | ||||
\(583\) | 1822.72 | − | 1568.58i | 0.129484 | − | 0.111430i | ||||
\(584\) | −9124.31 | + | 2814.48i | −0.646518 | + | 0.199425i | ||||
\(585\) | −469.660 | − | 8454.04i | −0.0331932 | − | 0.597490i | ||||
\(586\) | 311.026 | + | 2063.53i | 0.0219256 | + | 0.145467i | ||||
\(587\) | 1018.38 | + | 1018.38i | 0.0716064 | + | 0.0716064i | 0.742003 | − | 0.670397i | \(-0.233876\pi\) |
−0.670397 | + | 0.742003i | \(0.733876\pi\) | |||||||
\(588\) | −1404.78 | − | 609.903i | −0.0985240 | − | 0.0427755i | ||||
\(589\) | − | 21937.4i | − | 1.53466i | ||||||
\(590\) | −4578.97 | + | 4747.78i | −0.319514 | + | 0.331293i | ||||
\(591\) | −242.643 | + | 355.892i | −0.0168883 | + | 0.0247706i | ||||
\(592\) | 1051.27 | − | 1989.10i | 0.0729849 | − | 0.138094i | ||||
\(593\) | −4453.44 | − | 5174.99i | −0.308399 | − | 0.358366i | 0.582288 | − | 0.812982i | \(-0.302157\pi\) |
−0.890688 | + | 0.454616i | \(0.849777\pi\) | |||||||
\(594\) | −5166.51 | − | 2488.06i | −0.356876 | − | 0.171863i | ||||
\(595\) | −1047.41 | + | 98.5298i | −0.0721676 | + | 0.00678878i | ||||
\(596\) | −2889.71 | + | 1391.61i | −0.198603 | + | 0.0956421i | ||||
\(597\) | 1449.86 | + | 632.567i | 0.0993949 | + | 0.0433655i | ||||
\(598\) | 10509.3 | + | 9043.94i | 0.718654 | + | 0.618452i | ||||
\(599\) | 14857.6 | + | 5831.18i | 1.01346 | + | 0.397755i | 0.813199 | − | 0.581986i | \(-0.197724\pi\) |
0.200266 | + | 0.979742i | \(0.435819\pi\) | |||||||
\(600\) | 5514.08 | + | 3474.00i | 0.375185 | + | 0.236376i | ||||
\(601\) | 11189.6 | − | 8923.43i | 0.759459 | − | 0.605648i | −0.165282 | − | 0.986246i | \(-0.552853\pi\) |
0.924740 | + | 0.380598i | \(0.124282\pi\) | |||||||
\(602\) | −396.671 | − | 10352.9i | −0.0268557 | − | 0.700919i | ||||
\(603\) | 962.685 | − | 108.469i | 0.0650142 | − | 0.00732534i | ||||
\(604\) | 2570.93 | + | 3770.86i | 0.173195 | + | 0.254030i | ||||
\(605\) | 7543.51 | − | 5345.58i | 0.506921 | − | 0.359221i | ||||
\(606\) | 678.259 | + | 1174.78i | 0.0454660 | + | 0.0787493i | ||||
\(607\) | −26665.6 | + | 7145.03i | −1.78307 | + | 0.477773i | −0.991138 | − | 0.132835i | \(-0.957592\pi\) |
−0.791934 | + | 0.610607i | \(0.790925\pi\) | |||||||
\(608\) | 10487.1 | + | 6589.50i | 0.699522 | + | 0.439539i | ||||
\(609\) | 1058.33 | + | 1138.56i | 0.0704200 | + | 0.0757584i | ||||
\(610\) | 10794.8 | − | 4944.14i | 0.716506 | − | 0.328168i | ||||
\(611\) | 12784.6 | + | 11862.4i | 0.846499 | + | 0.785436i | ||||
\(612\) | 142.517 | + | 193.103i | 0.00941322 | + | 0.0127545i | ||||
\(613\) | −15733.3 | − | 21317.9i | −1.03664 | − | 1.40460i | −0.910942 | − | 0.412535i | \(-0.864643\pi\) |
−0.125702 | − | 0.992068i | \(-0.540118\pi\) | |||||||
\(614\) | −3617.69 | − | 3356.72i | −0.237782 | − | 0.220629i | ||||
\(615\) | −9722.75 | + | 4453.13i | −0.637494 | + | 0.291980i | ||||
\(616\) | −9499.10 | − | 3718.30i | −0.621314 | − | 0.243205i | ||||
\(617\) | −2908.40 | − | 1827.47i | −0.189770 | − | 0.119240i | 0.433796 | − | 0.901011i | \(-0.357174\pi\) |
−0.623566 | + | 0.781771i | \(0.714317\pi\) | |||||||
\(618\) | −5368.09 | + | 1438.38i | −0.349411 | + | 0.0936245i | ||||
\(619\) | 4240.13 | + | 7344.12i | 0.275323 | + | 0.476874i | 0.970217 | − | 0.242239i | \(-0.0778817\pi\) |
−0.694893 | + | 0.719113i | \(0.744548\pi\) | |||||||
\(620\) | −3135.39 | + | 2221.84i | −0.203097 | + | 0.143921i | ||||
\(621\) | −10039.9 | − | 14725.8i | −0.648770 | − | 0.951571i | ||||
\(622\) | −3133.40 | + | 353.049i | −0.201990 | + | 0.0227588i | ||||
\(623\) | 3938.90 | − | 3395.84i | 0.253304 | − | 0.218381i | ||||
\(624\) | −2394.12 | + | 1909.25i | −0.153592 | + | 0.122486i | ||||
\(625\) | 10600.1 | + | 11479.5i | 0.678404 | + | 0.734689i | ||||
\(626\) | −631.778 | − | 247.955i | −0.0403369 | − | 0.0158311i | ||||
\(627\) | 4849.47 | + | 4173.31i | 0.308883 | + | 0.265815i | ||||
\(628\) | 5381.38 | + | 2347.87i | 0.341944 | + | 0.149188i | ||||
\(629\) | −240.748 | + | 115.938i | −0.0152611 | + | 0.00734937i | ||||
\(630\) | 1472.60 | − | 11211.0i | 0.0931268 | − | 0.708979i | ||||
\(631\) | 28334.7 | + | 13645.3i | 1.78762 | + | 0.860872i | 0.948397 | + | 0.317084i | \(0.102704\pi\) |
0.839223 | + | 0.543788i | \(0.183010\pi\) | |||||||
\(632\) | 17467.0 | + | 20297.0i | 1.09937 | + | 1.27749i | ||||
\(633\) | −5128.08 | + | 9702.81i | −0.321995 | + | 0.609245i | ||||
\(634\) | 3925.94 | − | 5758.29i | 0.245929 | − | 0.360711i | ||||
\(635\) | 16786.3 | − | 17405.1i | 1.04905 | − | 1.08772i | ||||
\(636\) | 478.234i | 0.0298164i | ||||||||
\(637\) | 9771.44 | − | 6164.26i | 0.607784 | − | 0.383418i | ||||
\(638\) | 1522.84 | + | 1522.84i | 0.0944982 | + | 0.0944982i | ||||
\(639\) | −2596.21 | − | 17224.7i | −0.160727 | − | 1.06635i | ||||
\(640\) | 395.133 | + | 7112.52i | 0.0244047 | + | 0.439292i | ||||
\(641\) | 13582.7 | − | 4189.71i | 0.836950 | − | 0.258165i | 0.153488 | − | 0.988151i | \(-0.450950\pi\) |
0.683462 | + | 0.729986i | \(0.260473\pi\) | |||||||
\(642\) | −7899.48 | + | 6798.06i | −0.485620 | + | 0.417909i | ||||
\(643\) | 11225.0 | − | 3927.81i | 0.688449 | − | 0.240899i | 0.0366919 | − | 0.999327i | \(-0.488318\pi\) |
0.651757 | + | 0.758428i | \(0.274032\pi\) | |||||||
\(644\) | −4116.19 | − | 5152.06i | −0.251865 | − | 0.315248i | ||||
\(645\) | 5199.43 | − | 1707.45i | 0.317407 | − | 0.104234i | ||||
\(646\) | 604.539 | + | 1540.34i | 0.0368193 | + | 0.0938140i | ||||
\(647\) | 18024.0 | − | 20944.2i | 1.09520 | − | 1.27265i | 0.135759 | − | 0.990742i | \(-0.456653\pi\) |
0.959442 | − | 0.281905i | \(-0.0909662\pi\) | |||||||
\(648\) | −8624.99 | + | 3763.04i | −0.522873 | + | 0.228127i | ||||
\(649\) | 5211.26 | + | 1607.46i | 0.315192 | + | 0.0972240i | ||||
\(650\) | −9377.85 | + | 4078.07i | −0.565892 | + | 0.246085i | ||||
\(651\) | −5579.27 | − | 3214.53i | −0.335897 | − | 0.193529i | ||||
\(652\) | 309.961 | + | 2750.98i | 0.0186181 | + | 0.165241i | ||||
\(653\) | 21595.5 | + | 4086.09i | 1.29418 | + | 0.244871i | 0.786990 | − | 0.616965i | \(-0.211638\pi\) |
0.507186 | + | 0.861837i | \(0.330686\pi\) | |||||||
\(654\) | 4390.25 | − | 4073.56i | 0.262496 | − | 0.243561i | ||||
\(655\) | −6121.55 | + | 2531.31i | −0.365173 | + | 0.151002i | ||||
\(656\) | −16674.2 | − | 9626.84i | −0.992404 | − | 0.572965i | ||||
\(657\) | −4655.72 | + | 7409.53i | −0.276464 | + | 0.439990i | ||||
\(658\) | 13847.2 | + | 18727.1i | 0.820393 | + | 1.10951i | ||||
\(659\) | −24557.5 | − | 5605.08i | −1.45163 | − | 0.331325i | −0.577249 | − | 0.816568i | \(-0.695874\pi\) |
−0.874379 | + | 0.485244i | \(0.838731\pi\) | |||||||
\(660\) | 105.309 | − | 1115.79i | 0.00621083 | − | 0.0658060i | ||||
\(661\) | −2521.23 | + | 16727.3i | −0.148358 | + | 0.984289i | 0.783481 | + | 0.621416i | \(0.213442\pi\) |
−0.931838 | + | 0.362873i | \(0.881796\pi\) | |||||||
\(662\) | −2006.70 | + | 1481.01i | −0.117814 | + | 0.0869504i | ||||
\(663\) | 363.441 | − | 13.5990i | 0.0212894 | − | 0.000796594i | ||||
\(664\) | 5868.36 | − | 25711.0i | 0.342977 | − | 1.50268i | ||||
\(665\) | −10617.9 | + | 25655.3i | −0.619166 | + | 1.49604i | ||||
\(666\) | −639.075 | − | 2799.97i | −0.0371827 | − | 0.162908i | ||||
\(667\) | 1732.41 | + | 6465.45i | 0.100569 | + | 0.375327i | ||||
\(668\) | −7281.67 | − | 1951.12i | −0.421761 | − | 0.113011i | ||||
\(669\) | 152.674 | + | 164.543i | 0.00882320 | + | 0.00950914i | ||||
\(670\) | −526.659 | − | 1044.82i | −0.0303681 | − | 0.0602460i | ||||
\(671\) | −7674.90 | − | 6120.53i | −0.441559 | − | 0.352132i | ||||
\(672\) | 3212.59 | − | 1701.59i | 0.184417 | − | 0.0976789i | ||||
\(673\) | −3843.14 | + | 34108.8i | −0.220122 | + | 1.95364i | 0.0723951 | + | 0.997376i | \(0.476936\pi\) |
−0.292517 | + | 0.956260i | \(0.594493\pi\) | |||||||
\(674\) | 217.703 | − | 705.777i | 0.0124416 | − | 0.0403346i | ||||
\(675\) | 13000.7 | − | 1943.53i | 0.741332 | − | 0.110825i | ||||
\(676\) | −166.809 | − | 2225.91i | −0.00949071 | − | 0.126645i | ||||
\(677\) | 9904.05 | − | 22700.3i | 0.562251 | − | 1.28869i | −0.370722 | − | 0.928744i | \(-0.620890\pi\) |
0.932972 | − | 0.359948i | \(-0.117206\pi\) | |||||||
\(678\) | −3348.06 | + | 9568.21i | −0.189648 | + | 0.541983i | ||||
\(679\) | −3096.97 | + | 6445.71i | −0.175038 | + | 0.364306i | ||||
\(680\) | 764.075 | − | 1165.46i | 0.0430896 | − | 0.0657256i | ||||
\(681\) | −435.745 | + | 5814.62i | −0.0245195 | + | 0.327190i | ||||
\(682\) | −7887.10 | − | 4168.45i | −0.442834 | − | 0.234045i | ||||
\(683\) | −831.160 | − | 4392.78i | −0.0465643 | − | 0.246098i | 0.951549 | − | 0.307497i | \(-0.0994915\pi\) |
−0.998113 | + | 0.0613988i | \(0.980444\pi\) | |||||||
\(684\) | 6263.40 | − | 944.056i | 0.350127 | − | 0.0527732i | ||||
\(685\) | −979.009 | + | 750.284i | −0.0546073 | + | 0.0418494i | ||||
\(686\) | 14347.1 | − | 5675.37i | 0.798503 | − | 0.315870i | ||||
\(687\) | 2895.20 | − | 2895.20i | 0.160784 | − | 0.160784i | ||||
\(688\) | 7927.68 | + | 5850.89i | 0.439302 | + | 0.324220i | ||||
\(689\) | −2980.89 | − | 2032.34i | −0.164823 | − | 0.112374i | ||||
\(690\) | −5664.46 | + | 7973.12i | −0.312525 | + | 0.439901i | ||||
\(691\) | 14814.2 | + | 1110.17i | 0.815569 | + | 0.0611185i | 0.475981 | − | 0.879456i | \(-0.342093\pi\) |
0.339588 | + | 0.940574i | \(0.389712\pi\) | |||||||
\(692\) | −357.503 | − | 1021.69i | −0.0196391 | − | 0.0561253i | ||||
\(693\) | −8821.32 | + | 3095.59i | −0.483541 | + | 0.169685i | ||||
\(694\) | 118.383 | + | 245.825i | 0.00647515 | + | 0.0134458i | ||||
\(695\) | 7642.72 | + | 30896.6i | 0.417130 | + | 1.68629i | ||||
\(696\) | −2053.40 | + | 153.881i | −0.111830 | + | 0.00838053i | ||||
\(697\) | 914.452 | + | 2095.95i | 0.0496949 | + | 0.113902i | ||||
\(698\) | −1489.29 | + | 787.115i | −0.0807602 | + | 0.0426830i | ||||
\(699\) | −2865.10 | − | 3592.72i | −0.155033 | − | 0.194405i | ||||
\(700\) | 4742.16 | − | 1080.83i | 0.256053 | − | 0.0583593i | ||||
\(701\) | −17000.1 | + | 21317.5i | −0.915958 | + | 1.14858i | 0.0725436 | + | 0.997365i | \(0.476888\pi\) |
−0.988502 | + | 0.151210i | \(0.951683\pi\) | |||||||
\(702\) | −1599.44 | + | 8453.24i | −0.0859928 | + | 0.454483i | ||||
\(703\) | −263.694 | + | 7047.37i | −0.0141471 | + | 0.378089i | ||||
\(704\) | 11015.8 | − | 6360.00i | 0.589738 | − | 0.340485i | ||||
\(705\) | −7495.15 | + | 9755.70i | −0.400403 | + | 0.521164i | ||||
\(706\) | 15043.9 | − | 3433.66i | 0.801959 | − | 0.183042i | ||||
\(707\) | 4702.54 | + | 1255.53i | 0.250152 | + | 0.0667877i | ||||
\(708\) | −918.323 | + | 577.020i | −0.0487467 | + | 0.0306296i | ||||
\(709\) | 23028.0 | − | 24818.3i | 1.21979 | − | 1.31462i | 0.285389 | − | 0.958412i | \(-0.407877\pi\) |
0.934405 | − | 0.356213i | \(-0.115932\pi\) | |||||||
\(710\) | −18419.3 | + | 10165.5i | −0.973613 | + | 0.537332i | ||||
\(711\) | 24266.9 | + | 3657.65i | 1.28000 | + | 0.192929i | ||||
\(712\) | 257.592 | + | 6884.29i | 0.0135585 | + | 0.362359i | ||||
\(713\) | −14751.4 | − | 23476.6i | −0.774814 | − | 1.23311i | ||||
\(714\) | 480.334 | + | 71.9585i | 0.0251766 | + | 0.00377168i | ||||
\(715\) | 6507.30 | + | 5398.12i | 0.340362 | + | 0.282347i | ||||
\(716\) | 1416.36 | − | 2453.21i | 0.0739273 | − | 0.128046i | ||||
\(717\) | −355.880 | + | 1328.16i | −0.0185364 | + | 0.0691788i | ||||
\(718\) | −73.0191 | − | 2.73218i | −0.00379533 | − | 0.000142011i | ||||
\(719\) | −28973.7 | + | 19753.9i | −1.50283 | + | 1.02461i | −0.517169 | + | 0.855884i | \(0.673014\pi\) |
−0.985662 | + | 0.168729i | \(0.946034\pi\) | |||||||
\(720\) | 7455.61 | + | 7749.13i | 0.385909 | + | 0.401102i | ||||
\(721\) | −9954.76 | + | 17277.9i | −0.514195 | + | 0.892458i | ||||
\(722\) | 26843.1 | + | 3024.49i | 1.38365 | + | 0.155900i | ||||
\(723\) | 4465.95 | + | 8449.99i | 0.229724 | + | 0.434659i | ||||
\(724\) | 1162.44 | − | 2961.85i | 0.0596709 | − | 0.152039i | ||||
\(725\) | −4849.67 | − | 923.661i | −0.248431 | − | 0.0473157i | ||||
\(726\) | −3973.33 | + | 1559.42i | −0.203119 | + | 0.0797183i | ||||
\(727\) | 5151.97 | + | 1802.75i | 0.262828 | + | 0.0919675i | 0.458476 | − | 0.888707i | \(-0.348395\pi\) |
−0.195648 | + | 0.980674i | \(0.562681\pi\) | |||||||
\(728\) | −1699.90 | + | 15209.6i | −0.0865421 | + | 0.774319i | ||||
\(729\) | −1123.68 | + | 2333.35i | −0.0570890 | + | 0.118547i | ||||
\(730\) | 10344.8 | + | 2164.95i | 0.524489 | + | 0.109765i | ||||
\(731\) | −344.932 | − | 1118.24i | −0.0174525 | − | 0.0565795i | ||||
\(732\) | 1918.21 | − | 362.944i | 0.0968565 | − | 0.0183262i | ||||
\(733\) | −1085.92 | + | 1471.36i | −0.0547192 | + | 0.0741419i | −0.831103 | − | 0.556119i | \(-0.812290\pi\) |
0.776384 | + | 0.630261i | \(0.217052\pi\) | |||||||
\(734\) | 14858.8 | 0.747204 | ||||||||
\(735\) | 4968.96 | + | 6459.74i | 0.249365 | + | 0.324179i | ||||
\(736\) | 15654.0 | 0.783984 | ||||||||
\(737\) | −574.449 | + | 778.351i | −0.0287111 | + | 0.0389022i | ||||
\(738\) | −24149.5 | + | 4569.33i | −1.20455 | + | 0.227912i | ||||
\(739\) | −2419.50 | − | 7843.84i | −0.120437 | − | 0.390447i | 0.875200 | − | 0.483762i | \(-0.160730\pi\) |
−0.995637 | + | 0.0933149i | \(0.970254\pi\) | |||||||
\(740\) | 1033.95 | − | 676.076i | 0.0513632 | − | 0.0335852i | ||||
\(741\) | 4164.75 | − | 8648.19i | 0.206472 | − | 0.428744i | ||||
\(742\) | −3409.88 | − | 3403.78i | −0.168707 | − | 0.168405i | ||||
\(743\) | 1050.89 | + | 367.724i | 0.0518890 | + | 0.0181568i | 0.356099 | − | 0.934448i | \(-0.384107\pi\) |
−0.304210 | + | 0.952605i | \(0.598392\pi\) | |||||||
\(744\) | 7939.98 | − | 3116.21i | 0.391255 | − | 0.153556i | ||||
\(745\) | 17040.6 | + | 967.278i | 0.838013 | + | 0.0475682i | ||||
\(746\) | 2321.39 | − | 5914.81i | 0.113931 | − | 0.290290i | ||||
\(747\) | −11293.4 | − | 21368.2i | −0.553151 | − | 1.04661i | ||||
\(748\) | −238.147 | − | 26.8327i | −0.0116410 | − | 0.00131163i | ||||
\(749\) | −2761.05 | + | 37292.2i | −0.134695 | + | 1.81926i | ||||
\(750\) | −3477.94 | − | 6319.81i | −0.169329 | − | 0.307689i | ||||
\(751\) | −7003.30 | + | 4774.77i | −0.340285 | + | 0.232002i | −0.721389 | − | 0.692530i | \(-0.756496\pi\) |
0.381105 | + | 0.924532i | \(0.375544\pi\) | |||||||
\(752\) | −22134.1 | − | 828.199i | −1.07333 | − | 0.0401613i | ||||
\(753\) | 2765.58 | − | 10321.3i | 0.133842 | − | 0.499506i | ||||
\(754\) | 1615.52 | − | 2798.17i | 0.0780291 | − | 0.135150i | ||||
\(755\) | −2252.95 | − | 24182.2i | −0.108600 | − | 1.16567i | ||||
\(756\) | 1491.51 | − | 3810.35i | 0.0717536 | − | 0.183308i | ||||
\(757\) | 5563.17 | + | 8853.74i | 0.267103 | + | 0.425092i | 0.953165 | − | 0.302451i | \(-0.0978049\pi\) |
−0.686062 | + | 0.727543i | \(0.740662\pi\) | |||||||
\(758\) | −370.029 | − | 9889.23i | −0.0177309 | − | 0.473869i | ||||
\(759\) | 7996.00 | + | 1205.20i | 0.382393 | + | 0.0576365i | ||||
\(760\) | −17771.9 | − | 32201.6i | −0.848230 | − | 1.53694i | ||||
\(761\) | −19895.5 | + | 21442.3i | −0.947716 | + | 1.02140i | 0.0520250 | + | 0.998646i | \(0.483432\pi\) |
−0.999741 | + | 0.0227494i | \(0.992758\pi\) | |||||||
\(762\) | −9452.53 | + | 5939.42i | −0.449382 | + | 0.282365i | ||||
\(763\) | 784.247 | − | 21474.6i | 0.0372106 | − | 1.01891i | ||||
\(764\) | 9360.93 | − | 2136.57i | 0.443281 | − | 0.101176i | ||||
\(765\) | −165.942 | − | 1266.35i | −0.00784265 | − | 0.0598494i | ||||
\(766\) | 20647.1 | − | 11920.6i | 0.973901 | − | 0.562282i | ||||
\(767\) | 305.930 | − | 8176.15i | 0.0144022 | − | 0.384907i | ||||
\(768\) | −1179.37 | + | 6233.11i | −0.0554125 | + | 0.292862i | ||||
\(769\) | 886.634 | − | 1111.80i | 0.0415772 | − | 0.0521361i | −0.760608 | − | 0.649211i | \(-0.775099\pi\) |
0.802185 | + | 0.597075i | \(0.203671\pi\) | |||||||
\(770\) | 7206.21 | + | 8692.35i | 0.337264 | + | 0.406819i | ||||
\(771\) | 4602.38 | + | 5771.21i | 0.214982 | + | 0.269578i | ||||
\(772\) | 4049.64 | − | 2140.30i | 0.188795 | − | 0.0997810i | ||||
\(773\) | −5115.83 | − | 11725.6i | −0.238038 | − | 0.545590i | 0.756006 | − | 0.654565i | \(-0.227148\pi\) |
−0.994045 | + | 0.108975i | \(0.965243\pi\) | |||||||
\(774\) | 12542.5 | − | 939.929i | 0.582468 | − | 0.0436499i | ||||
\(775\) | 20323.9 | − | 2265.16i | 0.942010 | − | 0.104990i | ||||
\(776\) | −4110.11 | − | 8534.72i | −0.190134 | − | 0.394818i | ||||
\(777\) | 1753.70 | + | 1099.73i | 0.0809698 | + | 0.0507755i | ||||
\(778\) | −8705.84 | − | 24879.9i | −0.401182 | − | 1.14651i | ||||
\(779\) | 60183.8 | + | 4510.15i | 2.76805 | + | 0.207436i | ||||
\(780\) | −1657.85 | + | 280.653i | −0.0761032 | + | 0.0128833i | ||||
\(781\) | 14371.7 | + | 9798.48i | 0.658465 | + | 0.448934i | ||||
\(782\) | 1682.73 | + | 1241.91i | 0.0769491 | + | 0.0567910i | ||||
\(783\) | −2936.86 | + | 2936.86i | −0.134042 | + | 0.134042i | ||||
\(784\) | −4299.80 | + | 14028.8i | −0.195873 | + | 0.639069i | ||||
\(785\) | −19005.4 | − | 24799.2i | −0.864116 | − | 1.12754i | ||||
\(786\) | 3024.07 | − | 455.805i | 0.137233 | − | 0.0206845i | ||||
\(787\) | −2174.99 | − | 11495.1i | −0.0985135 | − | 0.520656i | −0.996709 | − | 0.0810606i | \(-0.974169\pi\) |
0.898196 | − | 0.439596i | \(-0.144878\pi\) | |||||||
\(788\) | −376.479 | − | 198.975i | −0.0170197 | − | 0.00899517i | ||||
\(789\) | −524.950 | + | 7004.98i | −0.0236866 | + | 0.316076i | ||||
\(790\) | −6036.47 | − | 29018.4i | −0.271858 | − | 1.30687i | ||||
\(791\) | 15810.8 | + | 32756.2i | 0.710702 | + | 1.47241i | ||||
\(792\) | 4090.15 | − | 11689.0i | 0.183506 | − | 0.524431i | ||||
\(793\) | −5889.47 | + | 13498.8i | −0.263734 | + | 0.604485i | ||||
\(794\) | −521.765 | − | 6962.47i | −0.0233208 | − | 0.311195i | ||||
\(795\) | 1232.38 | − | 2226.66i | 0.0549787 | − | 0.0993351i | ||||
\(796\) | −460.940 | + | 1494.33i | −0.0205246 | + | 0.0665392i | ||||
\(797\) | 165.613 | − | 1469.86i | 0.00736051 | − | 0.0653263i | −0.989495 | − | 0.144567i | \(-0.953821\pi\) |
0.996856 | + | 0.0792408i | \(0.0252496\pi\) | |||||||
\(798\) | 7602.70 | − | 10320.6i | 0.337259 | − | 0.457828i | ||||
\(799\) | 2056.76 | + | 1640.21i | 0.0910673 | + | 0.0726238i | ||||
\(800\) | −5022.00 | + | 10396.2i | −0.221943 | + | 0.459453i | ||||
\(801\) | 4294.32 | + | 4628.18i | 0.189429 | + | 0.204156i | ||||
\(802\) | 22459.1 | + | 6017.90i | 0.988851 | + | 0.264962i | ||||
\(803\) | −2261.61 | − | 8440.45i | −0.0993905 | − | 0.370930i | ||||
\(804\) | −42.8097 | − | 187.561i | −0.00187784 | − | 0.00822734i | ||||
\(805\) | 5888.42 | + | 34595.2i | 0.257813 | + | 1.51468i | ||||
\(806\) | −2978.19 | + | 13048.3i | −0.130152 | + | 0.570233i | ||||
\(807\) | 13780.5 | − | 515.632i | 0.601113 | − | 0.0224921i | ||||
\(808\) | −5187.64 | + | 3828.65i | −0.225867 | + | 0.166697i | ||||
\(809\) | −2893.20 | + | 19195.2i | −0.125735 | + | 0.834197i | 0.833690 | + | 0.552233i | \(0.186224\pi\) |
−0.959425 | + | 0.281964i | \(0.909014\pi\) | |||||||
\(810\) | 10369.6 | + | 978.696i | 0.449817 | + | 0.0424542i | ||||
\(811\) | −2673.23 | − | 610.148i | −0.115746 | − | 0.0264182i | 0.164256 | − | 0.986418i | \(-0.447478\pi\) |
−0.280001 | + | 0.960000i | \(0.590335\pi\) | |||||||
\(812\) | −1001.36 | + | 1165.71i | −0.0432768 | + | 0.0503799i | ||||
\(813\) | −2239.77 | + | 3564.57i | −0.0966199 | + | 0.153770i | ||||
\(814\) | 2483.62 | + | 1433.92i | 0.106942 | + | 0.0617430i | ||||
\(815\) | 5645.95 | − | 13607.3i | 0.242661 | − | 0.584839i | ||||
\(816\) | −338.598 | + | 314.173i | −0.0145261 | + | 0.0134782i | ||||
\(817\) | −30346.7 | − | 5741.90i | −1.29951 | − | 0.245880i | ||||
\(818\) | 363.400 | + | 3225.26i | 0.0155330 | + | 0.137859i | ||||
\(819\) | 7911.36 | + | 11581.5i | 0.337540 | + | 0.494128i | ||||
\(820\) | −5450.87 | − | 9058.54i | −0.232137 | − | 0.385778i | ||||
\(821\) | 5706.46 | + | 1760.21i | 0.242578 | + | 0.0748255i | 0.413660 | − | 0.910431i | \(-0.364250\pi\) |
−0.171082 | + | 0.985257i | \(0.554726\pi\) | |||||||
\(822\) | 521.932 | − | 227.717i | 0.0221466 | − | 0.00966244i | ||||
\(823\) | 11384.3 | − | 13228.8i | 0.482176 | − | 0.560299i | −0.463211 | − | 0.886248i | \(-0.653303\pi\) |
0.945387 | + | 0.325949i | \(0.105684\pi\) | |||||||
\(824\) | −9650.29 | − | 24588.5i | −0.407990 | − | 1.03954i | ||||
\(825\) | −3365.64 | + | 4923.73i | −0.142032 | + | 0.207784i | ||||
\(826\) | 2421.81 | − | 10654.7i | 0.102016 | − | 0.448817i | ||||
\(827\) | −27262.1 | + | 9539.43i | −1.14631 | + | 0.401111i | −0.835569 | − | 0.549385i | \(-0.814862\pi\) |
−0.310739 | + | 0.950495i | \(0.600576\pi\) | |||||||
\(828\) | 6068.07 | − | 5221.99i | 0.254686 | − | 0.219175i | ||||
\(829\) | 1304.75 | − | 402.461i | 0.0546631 | − | 0.0168613i | −0.267303 | − | 0.963613i | \(-0.586132\pi\) |
0.321966 | + | 0.946751i | \(0.395656\pi\) | |||||||
\(830\) | −19464.0 | + | 21753.8i | −0.813981 | + | 0.909741i | ||||
\(831\) | 1336.51 | + | 8867.15i | 0.0557918 | + | 0.370154i | ||||
\(832\) | −13494.2 | − | 13494.2i | −0.562291 | − | 0.562291i | ||||
\(833\) | 1400.32 | − | 1037.36i | 0.0582450 | − | 0.0431482i | ||||
\(834\) | − | 14694.0i | − | 0.610085i | ||||||
\(835\) | 28875.5 | + | 27848.9i | 1.19674 | + | 1.15419i | ||||
\(836\) | −3563.01 | + | 5225.97i | −0.147403 | + | 0.216201i | ||||
\(837\) | 8039.02 | − | 15210.6i | 0.331982 | − | 0.628141i | ||||
\(838\) | 14490.3 | + | 16838.0i | 0.597325 | + | 0.694104i | ||||
\(839\) | 27941.8 | + | 13456.1i | 1.14977 | + | 0.553701i | 0.908965 | − | 0.416872i | \(-0.136874\pi\) |
0.240807 | + | 0.970573i | \(0.422588\pi\) | |||||||
\(840\) | −10793.9 | − | 198.695i | −0.443363 | − | 0.00816147i | ||||
\(841\) | −20568.4 | + | 9905.20i | −0.843346 | + | 0.406134i | ||||
\(842\) | −7589.09 | − | 3311.09i | −0.310614 | − | 0.135520i | ||||
\(843\) | 6132.92 | + | 5277.80i | 0.250568 | + | 0.215631i | ||||
\(844\) | −10099.5 | − | 3963.75i | −0.411894 | − | 0.161656i | ||||
\(845\) | −4959.37 | + | 10793.7i | −0.201903 | + | 0.439425i | ||||
\(846\) | −22106.0 | + | 17629.0i | −0.898370 | + | 0.716426i | ||||
\(847\) | −6111.86 | + | 14042.9i | −0.247941 | + | 0.569679i | ||||
\(848\) | 4553.16 | − | 513.017i | 0.184382 | − | 0.0207749i | ||||
\(849\) | −9136.80 | − | 13401.2i | −0.369345 | − | 0.541730i | ||||
\(850\) | −1364.63 | + | 719.125i | −0.0550663 | + | 0.0290186i | ||||
\(851\) | 4456.66 | + | 7719.17i | 0.179521 | + | 0.310940i | ||||
\(852\) | −3341.35 | + | 895.311i | −0.134358 | + | 0.0360010i | ||||
\(853\) | −16268.4 | − | 10222.1i | −0.653013 | − | 0.410316i | 0.164379 | − | 0.986397i | \(-0.447438\pi\) |
−0.817392 | + | 0.576082i | \(0.804581\pi\) | |||||||
\(854\) | −11064.8 | + | 16260.3i | −0.443359 | + | 0.651542i | ||||
\(855\) | −31595.2 | − | 11744.9i | −1.26378 | − | 0.469786i | ||||
\(856\) | −36311.7 | − | 33692.3i | −1.44989 | − | 1.34530i | ||||
\(857\) | −13315.0 | − | 18041.3i | −0.530727 | − | 0.719110i | 0.454426 | − | 0.890784i | \(-0.349844\pi\) |
−0.985154 | + | 0.171674i | \(0.945082\pi\) | |||||||
\(858\) | −2317.90 | − | 3140.64i | −0.0922280 | − | 0.124965i | ||||
\(859\) | −20483.7 | − | 19006.1i | −0.813614 | − | 0.754924i | 0.159018 | − | 0.987276i | \(-0.449167\pi\) |
−0.972632 | + | 0.232352i | \(0.925358\pi\) | |||||||
\(860\) | 2252.88 | + | 4918.83i | 0.0893287 | + | 0.195036i | ||||
\(861\) | 9965.91 | − | 14645.5i | 0.394468 | − | 0.579695i | ||||
\(862\) | 5882.92 | + | 3696.48i | 0.232451 | + | 0.146059i | ||||
\(863\) | −2421.52 | + | 648.843i | −0.0955149 | + | 0.0255931i | −0.306260 | − | 0.951948i | \(-0.599078\pi\) |
0.210745 | + | 0.977541i | \(0.432411\pi\) | |||||||
\(864\) | 4856.65 | + | 8411.96i | 0.191234 | + | 0.331228i | ||||
\(865\) | −968.291 | + | 5678.24i | −0.0380611 | + | 0.223197i | ||||
\(866\) | 65.4772 | + | 96.0374i | 0.00256929 | + | 0.00376846i | ||||
\(867\) | −10320.9 | + | 1162.88i | −0.404285 | + | 0.0455520i | ||||
\(868\) | 2540.34 | − | 5836.79i | 0.0993372 | − | 0.228241i | ||||
\(869\) | −19159.2 | + | 15279.0i | −0.747909 | + | 0.596438i | ||||
\(870\) | 2071.05 | + | 951.585i | 0.0807070 | + | 0.0370825i | ||||
\(871\) | 1351.02 | + | 530.236i | 0.0525574 | + | 0.0206273i | ||||
\(872\) | 21576.1 | + | 18567.8i | 0.837912 | + | 0.721082i | ||||
\(873\) | −7957.08 | − | 3471.64i | −0.308484 | − | 0.134590i | ||||
\(874\) | 49730.4 | − | 23948.9i | 1.92466 | − | 0.926870i | ||||
\(875\) | −24864.7 | − | 7187.94i | −0.960665 | − | 0.277711i | ||||
\(876\) | 1565.69 | + | 753.997i | 0.0603879 | + | 0.0290813i | ||||
\(877\) | 20249.7 | + | 23530.6i | 0.779685 | + | 0.906011i | 0.997549 | − | 0.0699683i | \(-0.0222898\pi\) |
−0.217864 | + | 0.975979i | \(0.569909\pi\) | |||||||
\(878\) | −9896.61 | + | 18725.3i | −0.380404 | + | 0.719759i | ||||
\(879\) | 1028.61 | − | 1508.69i | 0.0394698 | − | 0.0578916i | ||||
\(880\) | −10736.1 | + | 194.319i | −0.411266 | + | 0.00744373i | ||||
\(881\) | − | 38789.1i | − | 1.48336i | −0.670755 | − | 0.741679i | \(-0.734030\pi\) | ||
0.670755 | − | 0.741679i | \(-0.265970\pi\) | |||||||
\(882\) | 7520.96 | + | 17154.3i | 0.287125 | + | 0.654891i | ||||
\(883\) | −21462.9 | − | 21462.9i | −0.817989 | − | 0.817989i | 0.167828 | − | 0.985816i | \(-0.446325\pi\) |
−0.985816 | + | 0.167828i | \(0.946325\pi\) | |||||||
\(884\) | 53.5879 | + | 355.533i | 0.00203887 | + | 0.0135270i | ||||
\(885\) | 5762.66 | − | 320.142i | 0.218881 | − | 0.0121598i | ||||
\(886\) | −23863.9 | + | 7361.04i | −0.904880 | + | 0.279118i | ||||
\(887\) | −19079.0 | + | 16418.8i | −0.722221 | + | 0.621521i | −0.934614 | − | 0.355663i | \(-0.884255\pi\) |
0.212393 | + | 0.977184i | \(0.431874\pi\) | |||||||
\(888\) | −2588.17 | + | 905.640i | −0.0978077 | + | 0.0342244i | ||||
\(889\) | −8878.25 | + | 39059.5i | −0.334946 | + | 1.47358i | ||||
\(890\) | 3440.47 | − | 6805.00i | 0.129578 | − | 0.256297i | ||||
\(891\) | −3146.16 | − | 8016.28i | −0.118294 | − | 0.301409i | ||||
\(892\) | −144.745 | + | 168.197i | −0.00543322 | + | 0.00631352i | ||||
\(893\) | 63636.9 | − | 27764.5i | 2.38469 | − | 1.04043i | ||||
\(894\) | −7529.74 | − | 2322.62i | −0.281692 | − | 0.0868903i | ||||
\(895\) | −12916.4 | + | 7772.27i | −0.482398 | + | 0.290277i | ||||
\(896\) | −6655.96 | − | 9743.72i | −0.248169 | − | 0.363298i | ||||
\(897\) | −1358.33 | − | 12055.5i | −0.0505611 | − | 0.448742i | ||||
\(898\) | 411.060 | + | 77.7767i | 0.0152753 | + | 0.00289025i | ||||
\(899\) | −4736.45 | + | 4394.79i | −0.175717 | + | 0.163042i | ||||
\(900\) | 1521.36 | + | 5705.26i | 0.0563465 | + | 0.211306i | ||||
\(901\) | −471.288 | − | 272.098i | −0.0174261 | − | 0.0100609i | ||||
\(902\) | 13057.4 | − | 20780.8i | 0.482000 | − | 0.767099i | ||||
\(903\) | −5907.08 | + | 6876.61i | −0.217691 | + | 0.253421i | ||||
\(904\) | −46973.2 | − | 10721.3i | −1.72822 | − | 0.394454i | ||||
\(905\) | −13044.8 | + | 10794.8i | −0.479143 | + | 0.396499i | ||||
\(906\) | −1671.15 | + | 11087.3i | −0.0612806 | + | 0.406570i | ||||
\(907\) | 10722.6 | − | 7913.61i | 0.392544 | − | 0.289710i | −0.379610 | − | 0.925147i | \(-0.623942\pi\) |
0.772153 | + | 0.635436i | \(0.219180\pi\) | |||||||
\(908\) | −5760.41 | + | 215.539i | −0.210535 | + | 0.00787766i | ||||
\(909\) | −1314.84 | + | 5760.71i | −0.0479765 | + | 0.210199i | ||||
\(910\) | 9798.45 | − | 13818.2i | 0.356940 | − | 0.503374i | ||||
\(911\) | 5341.18 | + | 23401.3i | 0.194249 | + | 0.851063i | 0.974284 | + | 0.225326i | \(0.0723446\pi\) |
−0.780034 | + | 0.625737i | \(0.784798\pi\) | |||||||
\(912\) | 3155.17 | + | 11775.3i | 0.114559 | + | 0.427542i | ||||
\(913\) | 23311.8 | + | 6246.37i | 0.845024 | + | 0.226423i | ||||
\(914\) | −23666.0 | − | 25505.9i | −0.856456 | − | 0.923041i | ||||
\(915\) | −9866.46 | − | 3253.24i | −0.356475 | − | 0.117540i | ||||
\(916\) | 3164.65 | + | 2523.73i | 0.114152 | + | 0.0910330i | ||||
\(917\) | 6508.14 | − | 8834.77i | 0.234370 | − | 0.318157i | ||||
\(918\) | −145.297 | + | 1289.55i | −0.00522388 | + | 0.0463633i | ||||
\(919\) | 1179.91 | − | 3825.18i | 0.0423523 | − | 0.137303i | −0.931927 | − | 0.362645i | \(-0.881874\pi\) |
0.974280 | + | 0.225342i | \(0.0723500\pi\) | |||||||
\(920\) | −40672.2 | − | 22510.7i | −1.45753 | − | 0.806692i | ||||
\(921\) | 322.699 | + | 4306.12i | 0.0115454 | + | 0.154062i | ||||
\(922\) | 7541.94 | − | 17286.3i | 0.269393 | − | 0.617456i | ||||
\(923\) | 8619.03 | − | 24631.8i | 0.307366 | − | 0.878401i | ||||
\(924\) | 807.011 | + | 1671.94i | 0.0287324 | + | 0.0595269i | ||||
\(925\) | −6556.28 | + | 483.382i | −0.233048 | + | 0.0171822i | ||||
\(926\) | 2359.15 | − | 31480.7i | 0.0837219 | − | 1.11719i | ||||
\(927\) | −21402.4 | − | 11311.5i | −0.758304 | − | 0.400776i | ||||
\(928\) | −678.196 | − | 3584.35i | −0.0239902 | − | 0.126791i | ||||
\(929\) | 1846.26 | − | 278.279i | 0.0652033 | − | 0.00982782i | −0.116360 | − | 0.993207i | \(-0.537123\pi\) |
0.181563 | + | 0.983379i | \(0.441884\pi\) | |||||||
\(930\) | −9359.56 | − | 1237.95i | −0.330013 | − | 0.0436493i | ||||
\(931\) | −6936.56 | − | 45467.8i | −0.244185 | − | 1.60059i | ||||
\(932\) | 3212.29 | − | 3212.29i | 0.112899 | − | 0.112899i | ||||
\(933\) | 2219.93 | + | 1638.38i | 0.0778964 | + | 0.0574901i | ||||
\(934\) | 25439.6 | + | 17344.4i | 0.891231 | + | 0.607631i | ||||
\(935\) | 1039.66 | + | 738.623i | 0.0363643 | + | 0.0258348i | ||||
\(936\) | −18527.4 | − | 1388.44i | −0.646996 | − | 0.0484857i | ||||
\(937\) | −3518.06 | − | 10054.0i | −0.122657 | − | 0.350534i | 0.866139 | − | 0.499802i | \(-0.166594\pi\) |
−0.988797 | + | 0.149268i | \(0.952308\pi\) | |||||||
\(938\) | 1642.03 | + | 1029.71i | 0.0571581 | + | 0.0358434i | ||||
\(939\) | 257.663 | + | 535.044i | 0.00895477 | + | 0.0185948i | ||||
\(940\) | −10413.4 | − | 6283.27i | −0.361329 | − | 0.218019i | ||||
\(941\) | 19730.4 | − | 1478.59i | 0.683520 | − | 0.0512227i | 0.271556 | − | 0.962423i | \(-0.412462\pi\) |
0.411964 | + | 0.911200i | \(0.364843\pi\) | |||||||
\(942\) | 5768.28 | + | 13221.0i | 0.199512 | + | 0.457287i | ||||
\(943\) | 67439.4 | − | 35642.8i | 2.32888 | − | 1.23085i | ||||
\(944\) | 6478.79 | + | 8124.15i | 0.223376 | + | 0.280104i | ||||
\(945\) | −16763.5 | + | 13897.4i | −0.577055 | + | 0.478395i | ||||
\(946\) | −7830.73 | + | 9819.42i | −0.269132 | + | 0.337481i | ||||
\(947\) | −1847.45 | + | 9764.00i | −0.0633939 | + | 0.335045i | −0.999877 | − | 0.0156673i | \(-0.995013\pi\) |
0.936483 | + | 0.350712i | \(0.114060\pi\) | |||||||
\(948\) | 182.225 | − | 4870.07i | 0.00624304 | − | 0.166849i | ||||
\(949\) | −11353.4 | + | 6554.89i | −0.388353 | + | 0.224216i | ||||
\(950\) | −49.0475 | + | 40710.5i | −0.00167506 | + | 1.39034i | ||||
\(951\) | −5945.20 | + | 1356.95i | −0.202719 | + | 0.0462694i | ||||
\(952\) | −84.2496 | + | 2306.96i | −0.00286822 | + | 0.0785388i | ||||
\(953\) | 41759.1 | − | 26239.0i | 1.41942 | − | 0.891882i | 0.419548 | − | 0.907733i | \(-0.362189\pi\) |
0.999874 | + | 0.0158510i | \(0.00504575\pi\) | |||||||
\(954\) | 3978.35 | − | 4287.65i | 0.135015 | − | 0.145511i | ||||
\(955\) | −49090.3 | − | 14174.7i | −1.66338 | − | 0.480296i | ||||
\(956\) | −1344.16 | − | 202.599i | −0.0454739 | − | 0.00685409i | ||||
\(957\) | −70.4603 | − | 1883.09i | −0.00238000 | − | 0.0636068i | ||||
\(958\) | 20105.7 | + | 31998.1i | 0.678066 | + | 1.07914i | ||||
\(959\) | 744.761 | − | 1902.63i | 0.0250778 | − | 0.0640659i | ||||
\(960\) | 8594.81 | − | 10360.8i | 0.288955 | − | 0.348327i | ||||
\(961\) | −1513.30 | + | 2621.12i | −0.0507973 | + | 0.0879836i | ||||
\(962\) | 1113.59 | − | 4155.96i | 0.0373217 | − | 0.139287i | ||||
\(963\) | −45364.9 | − | 1697.44i | −1.51803 | − | 0.0568007i | ||||
\(964\) | −7806.79 | + | 5322.58i | −0.260830 | + | 0.177831i | ||||
\(965\) | −24370.5 | − | 470.467i | −0.812969 | − | 0.0156942i | ||||
\(966\) | 1196.24 | − | 16157.1i | 0.0398432 | − | 0.538142i | ||||
\(967\) | −13200.1 | − | 1487.29i | −0.438973 | − | 0.0494604i | −0.110287 | − | 0.993900i | \(-0.535177\pi\) |
−0.328686 | + | 0.944439i | \(0.606606\pi\) | |||||||
\(968\) | −9479.75 | − | 17936.6i | −0.314763 | − | 0.595561i | ||||
\(969\) | 528.969 | − | 1347.79i | 0.0175365 | − | 0.0446824i | ||||
\(970\) | −594.210 | + | 10468.2i | −0.0196690 | + | 0.346510i | ||||
\(971\) | 1652.14 | − | 648.415i | 0.0546030 | − | 0.0214301i | −0.337882 | − | 0.941188i | \(-0.609711\pi\) |
0.392485 | + | 0.919758i | \(0.371615\pi\) | |||||||
\(972\) | 7247.12 | + | 2535.88i | 0.239147 | + | 0.0836813i | ||||
\(973\) | −37314.1 | − | 37247.2i | −1.22943 | − | 1.22723i | ||||
\(974\) | −3448.99 | + | 7161.90i | −0.113463 | + | 0.235608i | ||||
\(975\) | 8442.17 | + | 2965.46i | 0.277298 | + | 0.0974060i | ||||
\(976\) | −5513.23 | − | 17873.5i | −0.180814 | − | 0.586184i | ||||
\(977\) | −2222.41 | + | 420.503i | −0.0727751 | + | 0.0137698i | −0.222172 | − | 0.975008i | \(-0.571315\pi\) |
0.149397 | + | 0.988777i | \(0.452267\pi\) | |||||||
\(978\) | −4038.81 | + | 5472.40i | −0.132052 | + | 0.178924i | ||||
\(979\) | −6304.47 | −0.205814 | ||||||||
\(980\) | −5795.93 | + | 5596.43i | −0.188923 | + | 0.182420i | ||||
\(981\) | 26087.5 | 0.849042 | ||||||||
\(982\) | 6061.59 | − | 8213.17i | 0.196979 | − | 0.266897i | ||||
\(983\) | −39394.1 | + | 7453.77i | −1.27821 | + | 0.241850i | −0.780314 | − | 0.625388i | \(-0.784941\pi\) |
−0.497894 | + | 0.867238i | \(0.665893\pi\) | |||||||
\(984\) | 6916.73 | + | 22423.5i | 0.224083 | + | 0.726458i | ||||
\(985\) | 1240.14 | + | 1896.59i | 0.0401159 | + | 0.0613507i | ||||
\(986\) | 211.462 | − | 439.106i | 0.00682995 | − | 0.0141825i | ||||
\(987\) | 2263.58 | − | 20253.0i | 0.0729996 | − | 0.653151i | ||||
\(988\) | 8956.81 | + | 3134.12i | 0.288415 | + | 0.100921i | ||||
\(989\) | −36337.0 | + | 14261.2i | −1.16830 | + | 0.458524i | ||||
\(990\) | −10226.2 | + | 9127.62i | −0.328293 | + | 0.293025i | ||||
\(991\) | 5971.80 | − | 15215.9i | 0.191423 | − | 0.487739i | −0.802650 | − | 0.596450i | \(-0.796577\pi\) |
0.994073 | + | 0.108712i | \(0.0346725\pi\) | |||||||
\(992\) | 7060.80 | + | 13359.7i | 0.225989 | + | 0.427591i | ||||
\(993\) | 2168.55 | + | 244.337i | 0.0693020 | + | 0.00780846i | ||||
\(994\) | 17397.9 | − | 30196.6i | 0.555160 | − | 0.963559i | ||||
\(995\) | 5996.94 | − | 5769.79i | 0.191071 | − | 0.183834i | ||||
\(996\) | −3965.62 | + | 2703.71i | −0.126160 | + | 0.0860145i | ||||
\(997\) | 33746.7 | + | 1262.71i | 1.07198 | + | 0.0401108i | 0.567550 | − | 0.823339i | \(-0.307891\pi\) |
0.504435 | + | 0.863450i | \(0.331701\pi\) | |||||||
\(998\) | 7167.74 | − | 26750.4i | 0.227345 | − | 0.848465i | ||||
\(999\) | −2765.36 | + | 4789.75i | −0.0875798 | + | 0.151693i |
(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 | 245.4.x.a.103.26 | ✓ | 1968 | |
5.2 | odd | 4 | inner | 245.4.x.a.152.26 | yes | 1968 | |
49.10 | odd | 42 | inner | 245.4.x.a.108.26 | yes | 1968 | |
245.157 | even | 84 | inner | 245.4.x.a.157.26 | yes | 1968 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
245.4.x.a.103.26 | ✓ | 1968 | 1.1 | even | 1 | trivial | |
245.4.x.a.108.26 | yes | 1968 | 49.10 | odd | 42 | inner | |
245.4.x.a.152.26 | yes | 1968 | 5.2 | odd | 4 | inner | |
245.4.x.a.157.26 | yes | 1968 | 245.157 | even | 84 | inner |