Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [23,4,Mod(2,23)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(23, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("23.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 23.c (of order \(11\), degree \(10\), 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: | \(1.35704393013\) |
Analytic rank: | \(0\) |
Dimension: | \(50\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 3.3 | ||
Character | \(\chi\) | \(=\) | 23.3 |
Dual form | 23.4.c.a.8.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/23\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{8}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0282746 | + | 0.196654i | 0.00999659 | + | 0.0695278i | 0.994209 | − | 0.107463i | \(-0.0342728\pi\) |
−0.984212 | + | 0.176991i | \(0.943364\pi\) | |||||||
\(3\) | −3.66027 | + | 8.01487i | −0.704419 | + | 1.54246i | 0.130110 | + | 0.991500i | \(0.458467\pi\) |
−0.834529 | + | 0.550964i | \(0.814260\pi\) | |||||||
\(4\) | 7.63807 | − | 2.24274i | 0.954759 | − | 0.280342i | ||||
\(5\) | −6.59261 | + | 7.60828i | −0.589661 | + | 0.680505i | −0.969653 | − | 0.244484i | \(-0.921381\pi\) |
0.379992 | + | 0.924990i | \(0.375927\pi\) | |||||||
\(6\) | −1.67965 | − | 0.493191i | −0.114286 | − | 0.0335574i | ||||
\(7\) | 21.3237 | − | 13.7039i | 1.15137 | − | 0.739940i | 0.181458 | − | 0.983399i | \(-0.441918\pi\) |
0.969911 | + | 0.243458i | \(0.0782819\pi\) | |||||||
\(8\) | 1.31727 | + | 2.88443i | 0.0582159 | + | 0.127475i | ||||
\(9\) | −33.1594 | − | 38.2680i | −1.22813 | − | 1.41733i | ||||
\(10\) | −1.68261 | − | 1.08135i | −0.0532087 | − | 0.0341951i | ||||
\(11\) | 2.01428 | − | 14.0097i | 0.0552118 | − | 0.384006i | −0.943415 | − | 0.331615i | \(-0.892407\pi\) |
0.998627 | − | 0.0523914i | \(-0.0166843\pi\) | |||||||
\(12\) | −9.98213 | + | 69.4272i | −0.240133 | + | 1.67016i | ||||
\(13\) | −3.85568 | − | 2.47789i | −0.0822594 | − | 0.0528649i | 0.498865 | − | 0.866680i | \(-0.333751\pi\) |
−0.581124 | + | 0.813815i | \(0.697387\pi\) | |||||||
\(14\) | 3.29785 | + | 3.80592i | 0.0629562 | + | 0.0726553i | ||||
\(15\) | −36.8487 | − | 80.6873i | −0.634286 | − | 1.38889i | ||||
\(16\) | 53.0446 | − | 34.0897i | 0.828822 | − | 0.532651i | ||||
\(17\) | 98.0272 | + | 28.7834i | 1.39853 | + | 0.410647i | 0.892180 | − | 0.451679i | \(-0.149175\pi\) |
0.506354 | + | 0.862326i | \(0.330993\pi\) | |||||||
\(18\) | 6.58800 | − | 7.60295i | 0.0862670 | − | 0.0995574i | ||||
\(19\) | −66.4831 | + | 19.5212i | −0.802751 | + | 0.235709i | −0.657273 | − | 0.753653i | \(-0.728290\pi\) |
−0.145478 | + | 0.989361i | \(0.546472\pi\) | |||||||
\(20\) | −33.2915 | + | 72.8981i | −0.372210 | + | 0.815026i | ||||
\(21\) | 31.7846 | + | 221.066i | 0.330284 | + | 2.29717i | ||||
\(22\) | 2.81201 | 0.0272511 | ||||||||
\(23\) | −83.9685 | − | 71.5282i | −0.761246 | − | 0.648464i | ||||
\(24\) | −27.9399 | −0.237634 | ||||||||
\(25\) | 3.36596 | + | 23.4108i | 0.0269277 | + | 0.187286i | ||||
\(26\) | 0.378271 | − | 0.828297i | 0.00285327 | − | 0.00624779i | ||||
\(27\) | 199.822 | − | 58.6730i | 1.42429 | − | 0.418208i | ||||
\(28\) | 132.137 | − | 152.495i | 0.891844 | − | 1.02924i | ||||
\(29\) | −202.341 | − | 59.4126i | −1.29565 | − | 0.380436i | −0.440000 | − | 0.897998i | \(-0.645021\pi\) |
−0.855646 | + | 0.517562i | \(0.826840\pi\) | |||||||
\(30\) | 14.8256 | − | 9.52786i | 0.0902260 | − | 0.0579847i | ||||
\(31\) | −117.310 | − | 256.874i | −0.679664 | − | 1.48826i | −0.862999 | − | 0.505206i | \(-0.831417\pi\) |
0.183335 | − | 0.983051i | \(-0.441311\pi\) | |||||||
\(32\) | 24.8161 | + | 28.6393i | 0.137091 | + | 0.158211i | ||||
\(33\) | 104.913 | + | 67.4233i | 0.553423 | + | 0.355664i | ||||
\(34\) | −2.88870 | + | 20.0913i | −0.0145708 | + | 0.101342i | ||||
\(35\) | −36.3156 | + | 252.581i | −0.175385 | + | 1.21983i | ||||
\(36\) | −339.099 | − | 217.926i | −1.56990 | − | 1.00891i | ||||
\(37\) | 114.021 | + | 131.587i | 0.506619 | + | 0.584669i | 0.950230 | − | 0.311550i | \(-0.100848\pi\) |
−0.443611 | + | 0.896219i | \(0.646303\pi\) | |||||||
\(38\) | −5.71872 | − | 12.5222i | −0.0244131 | − | 0.0534572i | ||||
\(39\) | 33.9728 | − | 21.8330i | 0.139487 | − | 0.0896431i | ||||
\(40\) | −30.6298 | − | 8.99373i | −0.121075 | − | 0.0355508i | ||||
\(41\) | −66.9116 | + | 77.2201i | −0.254874 | + | 0.294140i | −0.868738 | − | 0.495271i | \(-0.835069\pi\) |
0.613864 | + | 0.789412i | \(0.289614\pi\) | |||||||
\(42\) | −42.5750 | + | 12.5011i | −0.156416 | + | 0.0459278i | ||||
\(43\) | 53.4045 | − | 116.940i | 0.189398 | − | 0.414724i | −0.790982 | − | 0.611839i | \(-0.790430\pi\) |
0.980380 | + | 0.197115i | \(0.0631573\pi\) | |||||||
\(44\) | −16.0348 | − | 111.524i | −0.0549393 | − | 0.382112i | ||||
\(45\) | 509.761 | 1.68868 | ||||||||
\(46\) | 11.6922 | − | 18.5352i | 0.0374764 | − | 0.0594102i | ||||
\(47\) | 130.950 | 0.406406 | 0.203203 | − | 0.979137i | \(-0.434865\pi\) | ||||
0.203203 | + | 0.979137i | \(0.434865\pi\) | |||||||
\(48\) | 79.0670 | + | 549.923i | 0.237757 | + | 1.65364i | ||||
\(49\) | 124.415 | − | 272.430i | 0.362725 | − | 0.794258i | ||||
\(50\) | −4.50866 | + | 1.32386i | −0.0127524 | + | 0.00374444i | ||||
\(51\) | −589.501 | + | 680.321i | −1.61856 | + | 1.86792i | ||||
\(52\) | −35.0072 | − | 10.2790i | −0.0933582 | − | 0.0274124i | ||||
\(53\) | −81.5152 | + | 52.3866i | −0.211264 | + | 0.135771i | −0.641994 | − | 0.766710i | \(-0.721892\pi\) |
0.430730 | + | 0.902481i | \(0.358256\pi\) | |||||||
\(54\) | 17.1882 | + | 37.6369i | 0.0433151 | + | 0.0948469i | ||||
\(55\) | 93.3100 | + | 107.685i | 0.228762 | + | 0.264006i | ||||
\(56\) | 67.6170 | + | 43.4548i | 0.161352 | + | 0.103695i | ||||
\(57\) | 86.8862 | − | 604.307i | 0.201901 | − | 1.40425i | ||||
\(58\) | 5.96264 | − | 41.4710i | 0.0134988 | − | 0.0938865i | ||||
\(59\) | 232.487 | + | 149.411i | 0.513005 | + | 0.329688i | 0.771399 | − | 0.636351i | \(-0.219557\pi\) |
−0.258395 | + | 0.966039i | \(0.583193\pi\) | |||||||
\(60\) | −462.413 | − | 533.654i | −0.994955 | − | 1.14824i | ||||
\(61\) | 190.268 | + | 416.628i | 0.399365 | + | 0.874487i | 0.997334 | + | 0.0729682i | \(0.0232472\pi\) |
−0.597969 | + | 0.801519i | \(0.704026\pi\) | |||||||
\(62\) | 47.1985 | − | 30.3326i | 0.0966809 | − | 0.0621331i | ||||
\(63\) | −1231.50 | − | 361.601i | −2.46277 | − | 0.723134i | ||||
\(64\) | 325.403 | − | 375.536i | 0.635554 | − | 0.733468i | ||||
\(65\) | 44.2715 | − | 12.9993i | 0.0844801 | − | 0.0248056i | ||||
\(66\) | −10.2927 | + | 22.5379i | −0.0191962 | + | 0.0420337i | ||||
\(67\) | 49.8355 | + | 346.614i | 0.0908713 | + | 0.632024i | 0.983456 | + | 0.181145i | \(0.0579803\pi\) |
−0.892585 | + | 0.450879i | \(0.851111\pi\) | |||||||
\(68\) | 813.292 | 1.45038 | ||||||||
\(69\) | 880.637 | − | 411.185i | 1.53647 | − | 0.717403i | ||||
\(70\) | −50.6980 | −0.0865652 | ||||||||
\(71\) | −109.006 | − | 758.154i | −0.182206 | − | 1.26727i | −0.851532 | − | 0.524303i | \(-0.824326\pi\) |
0.669325 | − | 0.742969i | \(-0.266583\pi\) | |||||||
\(72\) | 66.7012 | − | 146.055i | 0.109178 | − | 0.239066i | ||||
\(73\) | −869.420 | + | 255.285i | −1.39394 | + | 0.409299i | −0.890600 | − | 0.454787i | \(-0.849715\pi\) |
−0.503344 | + | 0.864086i | \(0.667897\pi\) | |||||||
\(74\) | −22.6533 | + | 26.1433i | −0.0355863 | + | 0.0410688i | ||||
\(75\) | −199.955 | − | 58.7120i | −0.307850 | − | 0.0903930i | ||||
\(76\) | −464.022 | + | 298.209i | −0.700354 | + | 0.450090i | ||||
\(77\) | −149.035 | − | 326.341i | −0.220573 | − | 0.482987i | ||||
\(78\) | 5.25413 | + | 6.06358i | 0.00762709 | + | 0.00880213i | ||||
\(79\) | 377.358 | + | 242.513i | 0.537419 | + | 0.345378i | 0.781029 | − | 0.624495i | \(-0.214695\pi\) |
−0.243609 | + | 0.969873i | \(0.578332\pi\) | |||||||
\(80\) | −90.3385 | + | 628.318i | −0.126252 | + | 0.878101i | ||||
\(81\) | −66.5773 | + | 463.055i | −0.0913269 | + | 0.635192i | ||||
\(82\) | −17.0776 | − | 10.9751i | −0.0229988 | − | 0.0147804i | ||||
\(83\) | −281.892 | − | 325.321i | −0.372792 | − | 0.430225i | 0.538093 | − | 0.842885i | \(-0.319145\pi\) |
−0.910885 | + | 0.412661i | \(0.864599\pi\) | |||||||
\(84\) | 738.567 | + | 1617.24i | 0.959337 | + | 2.10065i | ||||
\(85\) | −865.247 | + | 556.061i | −1.10411 | + | 0.709568i | ||||
\(86\) | 24.5067 | + | 7.19581i | 0.0307282 | + | 0.00902261i | ||||
\(87\) | 1216.81 | − | 1404.27i | 1.49949 | − | 1.73050i | ||||
\(88\) | 43.0632 | − | 12.6445i | 0.0521654 | − | 0.0153171i | ||||
\(89\) | −138.980 | + | 304.324i | −0.165527 | + | 0.362453i | −0.974160 | − | 0.225860i | \(-0.927481\pi\) |
0.808633 | + | 0.588314i | \(0.200208\pi\) | |||||||
\(90\) | 14.4133 | + | 100.247i | 0.0168811 | + | 0.117410i | ||||
\(91\) | −116.174 | −0.133828 | ||||||||
\(92\) | −801.777 | − | 358.018i | −0.908598 | − | 0.405717i | ||||
\(93\) | 2488.20 | 2.77435 | ||||||||
\(94\) | 3.70258 | + | 25.7520i | 0.00406268 | + | 0.0282565i | ||||
\(95\) | 289.775 | − | 634.518i | 0.312950 | − | 0.685265i | ||||
\(96\) | −320.374 | + | 94.0704i | −0.340605 | + | 0.100011i | ||||
\(97\) | −557.372 | + | 643.241i | −0.583428 | + | 0.673312i | −0.968338 | − | 0.249642i | \(-0.919687\pi\) |
0.384910 | + | 0.922954i | \(0.374232\pi\) | |||||||
\(98\) | 57.0924 | + | 16.7638i | 0.0588490 | + | 0.0172796i | ||||
\(99\) | −602.913 | + | 387.469i | −0.612072 | + | 0.393354i | ||||
\(100\) | 78.2137 | + | 171.264i | 0.0782137 | + | 0.171264i | ||||
\(101\) | 94.5213 | + | 109.083i | 0.0931210 | + | 0.107467i | 0.800397 | − | 0.599470i | \(-0.204622\pi\) |
−0.707276 | + | 0.706937i | \(0.750076\pi\) | |||||||
\(102\) | −150.456 | − | 96.6922i | −0.146053 | − | 0.0938623i | ||||
\(103\) | −69.9195 | + | 486.301i | −0.0668871 | + | 0.465210i | 0.928659 | + | 0.370935i | \(0.120963\pi\) |
−0.995546 | + | 0.0942756i | \(0.969947\pi\) | |||||||
\(104\) | 2.06832 | − | 14.3855i | 0.00195015 | − | 0.0135636i | ||||
\(105\) | −1891.48 | − | 1215.58i | −1.75799 | − | 1.12979i | ||||
\(106\) | −12.6069 | − | 14.5491i | −0.0115518 | − | 0.0133315i | ||||
\(107\) | −177.227 | − | 388.074i | −0.160124 | − | 0.350622i | 0.812517 | − | 0.582938i | \(-0.198097\pi\) |
−0.972640 | + | 0.232316i | \(0.925370\pi\) | |||||||
\(108\) | 1394.66 | − | 896.297i | 1.24261 | − | 0.798576i | ||||
\(109\) | −486.734 | − | 142.918i | −0.427713 | − | 0.125588i | 0.0607892 | − | 0.998151i | \(-0.480638\pi\) |
−0.488502 | + | 0.872563i | \(0.662456\pi\) | |||||||
\(110\) | −18.5385 | + | 21.3946i | −0.0160689 | + | 0.0185445i | ||||
\(111\) | −1472.00 | + | 432.218i | −1.25870 | + | 0.369588i | ||||
\(112\) | 663.944 | − | 1453.83i | 0.560150 | − | 1.22656i | ||||
\(113\) | 176.815 | + | 1229.77i | 0.147198 | + | 1.02378i | 0.920779 | + | 0.390085i | \(0.127554\pi\) |
−0.773581 | + | 0.633697i | \(0.781537\pi\) | |||||||
\(114\) | 121.296 | 0.0996529 | ||||||||
\(115\) | 1097.78 | − | 167.299i | 0.890160 | − | 0.135658i | ||||
\(116\) | −1678.74 | −1.34368 | ||||||||
\(117\) | 33.0279 | + | 229.714i | 0.0260977 | + | 0.181514i | ||||
\(118\) | −22.8087 | + | 49.9442i | −0.0177942 | + | 0.0389639i | ||||
\(119\) | 2484.74 | − | 729.586i | 1.91408 | − | 0.562026i | ||||
\(120\) | 184.197 | − | 212.575i | 0.140123 | − | 0.161711i | ||||
\(121\) | 1084.87 | + | 318.547i | 0.815081 | + | 0.239329i | ||||
\(122\) | −76.5519 | + | 49.1969i | −0.0568089 | + | 0.0365089i | ||||
\(123\) | −373.995 | − | 818.935i | −0.274163 | − | 0.600332i | ||||
\(124\) | −1472.13 | − | 1698.93i | −1.06614 | − | 1.23039i | ||||
\(125\) | −1258.94 | − | 809.071i | −0.900824 | − | 0.578924i | ||||
\(126\) | 36.2902 | − | 252.404i | 0.0256586 | − | 0.178460i | ||||
\(127\) | −232.988 | + | 1620.47i | −0.162790 | + | 1.13223i | 0.730554 | + | 0.682855i | \(0.239262\pi\) |
−0.893344 | + | 0.449374i | \(0.851647\pi\) | |||||||
\(128\) | 338.088 | + | 217.276i | 0.233461 | + | 0.150036i | ||||
\(129\) | 741.781 | + | 856.061i | 0.506281 | + | 0.584279i | ||||
\(130\) | 3.80813 | + | 8.33863i | 0.00256919 | + | 0.00562574i | ||||
\(131\) | 602.845 | − | 387.425i | 0.402067 | − | 0.258393i | −0.323943 | − | 0.946076i | \(-0.605009\pi\) |
0.726010 | + | 0.687684i | \(0.241372\pi\) | |||||||
\(132\) | 952.544 | + | 279.692i | 0.628093 | + | 0.184425i | ||||
\(133\) | −1150.15 | + | 1327.34i | −0.749853 | + | 0.865376i | ||||
\(134\) | −66.7540 | + | 19.6008i | −0.0430349 | + | 0.0126362i | ||||
\(135\) | −870.948 | + | 1907.11i | −0.555254 | + | 1.21584i | ||||
\(136\) | 46.1051 | + | 320.668i | 0.0290697 | + | 0.202184i | ||||
\(137\) | 1582.55 | 0.986905 | 0.493452 | − | 0.869773i | \(-0.335735\pi\) | ||||
0.493452 | + | 0.869773i | \(0.335735\pi\) | |||||||
\(138\) | 105.761 | + | 161.555i | 0.0652389 | + | 0.0996557i | ||||
\(139\) | −1194.38 | −0.728822 | −0.364411 | − | 0.931238i | \(-0.618730\pi\) | ||||
−0.364411 | + | 0.931238i | \(0.618730\pi\) | |||||||
\(140\) | 289.092 | + | 2010.68i | 0.174519 | + | 1.21381i | ||||
\(141\) | −479.314 | + | 1049.55i | −0.286280 | + | 0.626866i | ||||
\(142\) | 146.012 | − | 42.8731i | 0.0862893 | − | 0.0253368i | ||||
\(143\) | −42.4808 | + | 49.0255i | −0.0248421 | + | 0.0286694i | ||||
\(144\) | −3063.47 | − | 899.516i | −1.77284 | − | 0.520553i | ||||
\(145\) | 1785.98 | − | 1147.78i | 1.02288 | − | 0.657365i | ||||
\(146\) | −74.7854 | − | 163.757i | −0.0423924 | − | 0.0928264i | ||||
\(147\) | 1728.10 | + | 1994.34i | 0.969602 | + | 1.11898i | ||||
\(148\) | 1166.01 | + | 749.351i | 0.647606 | + | 0.416191i | ||||
\(149\) | 150.465 | − | 1046.50i | 0.0827284 | − | 0.575389i | −0.905725 | − | 0.423865i | \(-0.860673\pi\) |
0.988454 | − | 0.151524i | \(-0.0484179\pi\) | |||||||
\(150\) | 5.89232 | − | 40.9820i | 0.00320737 | − | 0.0223078i | ||||
\(151\) | 937.996 | + | 602.813i | 0.505517 | + | 0.324876i | 0.768419 | − | 0.639947i | \(-0.221044\pi\) |
−0.262903 | + | 0.964822i | \(0.584680\pi\) | |||||||
\(152\) | −143.884 | − | 166.051i | −0.0767798 | − | 0.0886086i | ||||
\(153\) | −2149.04 | − | 4705.74i | −1.13555 | − | 2.48651i | ||||
\(154\) | 59.9624 | − | 38.5355i | 0.0313760 | − | 0.0201642i | ||||
\(155\) | 2727.75 | + | 800.941i | 1.41354 | + | 0.415052i | ||||
\(156\) | 210.521 | − | 242.954i | 0.108046 | − | 0.124692i | ||||
\(157\) | 1114.32 | − | 327.195i | 0.566451 | − | 0.166325i | 0.0140467 | − | 0.999901i | \(-0.495529\pi\) |
0.552404 | + | 0.833576i | \(0.313710\pi\) | |||||||
\(158\) | −37.0217 | + | 81.0662i | −0.0186411 | + | 0.0408182i | ||||
\(159\) | −121.505 | − | 845.083i | −0.0606034 | − | 0.421506i | ||||
\(160\) | −381.499 | −0.188501 | ||||||||
\(161\) | −2770.73 | − | 374.548i | −1.35630 | − | 0.183345i | ||||
\(162\) | −92.9443 | −0.0450765 | ||||||||
\(163\) | −228.173 | − | 1586.98i | −0.109643 | − | 0.762586i | −0.968256 | − | 0.249961i | \(-0.919582\pi\) |
0.858613 | − | 0.512625i | \(-0.171327\pi\) | |||||||
\(164\) | −337.891 | + | 739.878i | −0.160883 | + | 0.352285i | ||||
\(165\) | −1204.63 | + | 353.710i | −0.568363 | + | 0.166887i | ||||
\(166\) | 56.0054 | − | 64.6337i | 0.0261859 | − | 0.0302202i | ||||
\(167\) | −1271.62 | − | 373.381i | −0.589227 | − | 0.173013i | −0.0264906 | − | 0.999649i | \(-0.508433\pi\) |
−0.562736 | + | 0.826636i | \(0.690251\pi\) | |||||||
\(168\) | −595.781 | + | 382.885i | −0.273604 | + | 0.175835i | ||||
\(169\) | −903.940 | − | 1979.35i | −0.411443 | − | 0.900935i | ||||
\(170\) | −133.816 | − | 154.432i | −0.0603720 | − | 0.0696730i | ||||
\(171\) | 2951.58 | + | 1896.86i | 1.31996 | + | 0.848285i | ||||
\(172\) | 145.642 | − | 1012.97i | 0.0645647 | − | 0.449057i | ||||
\(173\) | −161.341 | + | 1122.15i | −0.0709049 | + | 0.493154i | 0.923164 | + | 0.384405i | \(0.125594\pi\) |
−0.994069 | + | 0.108749i | \(0.965316\pi\) | |||||||
\(174\) | 310.560 | + | 199.585i | 0.135308 | + | 0.0869569i | ||||
\(175\) | 392.593 | + | 453.076i | 0.169584 | + | 0.195711i | ||||
\(176\) | −370.738 | − | 811.802i | −0.158781 | − | 0.347681i | ||||
\(177\) | −2048.47 | + | 1316.47i | −0.869902 | + | 0.559052i | ||||
\(178\) | −63.7764 | − | 18.7264i | −0.0268553 | − | 0.00788542i | ||||
\(179\) | −2624.02 | + | 3028.28i | −1.09569 | + | 1.26449i | −0.133813 | + | 0.991007i | \(0.542722\pi\) |
−0.961876 | + | 0.273485i | \(0.911823\pi\) | |||||||
\(180\) | 3893.59 | − | 1143.26i | 1.61228 | − | 0.473409i | ||||
\(181\) | 1159.55 | − | 2539.06i | 0.476181 | − | 1.04269i | −0.507315 | − | 0.861761i | \(-0.669362\pi\) |
0.983496 | − | 0.180930i | \(-0.0579108\pi\) | |||||||
\(182\) | −3.28478 | − | 22.8461i | −0.00133782 | − | 0.00930476i | ||||
\(183\) | −4035.65 | −1.63018 | ||||||||
\(184\) | 95.7084 | − | 336.424i | 0.0383463 | − | 0.134791i | ||||
\(185\) | −1752.85 | −0.696604 | ||||||||
\(186\) | 70.3530 | + | 489.316i | 0.0277340 | + | 0.192894i | ||||
\(187\) | 600.700 | − | 1315.35i | 0.234906 | − | 0.514373i | ||||
\(188\) | 1000.21 | − | 293.688i | 0.388020 | − | 0.113933i | ||||
\(189\) | 3456.89 | − | 3989.46i | 1.33043 | − | 1.53540i | ||||
\(190\) | 132.974 | + | 39.0447i | 0.0507734 | + | 0.0149084i | ||||
\(191\) | 3157.98 | − | 2029.51i | 1.19635 | − | 0.768850i | 0.218033 | − | 0.975941i | \(-0.430036\pi\) |
0.978322 | + | 0.207091i | \(0.0663997\pi\) | |||||||
\(192\) | 1818.81 | + | 3982.63i | 0.683651 | + | 1.49699i | ||||
\(193\) | 478.077 | + | 551.730i | 0.178304 | + | 0.205774i | 0.837865 | − | 0.545877i | \(-0.183803\pi\) |
−0.659561 | + | 0.751651i | \(0.729258\pi\) | |||||||
\(194\) | −142.256 | − | 91.4222i | −0.0526462 | − | 0.0338337i | ||||
\(195\) | −57.8580 | + | 402.411i | −0.0212477 | + | 0.147781i | ||||
\(196\) | 339.298 | − | 2359.87i | 0.123651 | − | 0.860012i | ||||
\(197\) | 1706.40 | + | 1096.63i | 0.617136 | + | 0.396609i | 0.811527 | − | 0.584315i | \(-0.198637\pi\) |
−0.194391 | + | 0.980924i | \(0.562273\pi\) | |||||||
\(198\) | −93.2446 | − | 107.610i | −0.0334677 | − | 0.0386238i | ||||
\(199\) | 1620.58 | + | 3548.57i | 0.577285 | + | 1.26408i | 0.942827 | + | 0.333283i | \(0.108156\pi\) |
−0.365542 | + | 0.930795i | \(0.619116\pi\) | |||||||
\(200\) | −63.0928 | + | 40.5473i | −0.0223067 | + | 0.0143356i | ||||
\(201\) | −2960.48 | − | 869.275i | −1.03889 | − | 0.305044i | ||||
\(202\) | −18.7792 | + | 21.6723i | −0.00654108 | + | 0.00754880i | ||||
\(203\) | −5128.83 | + | 1505.96i | −1.77327 | + | 0.520678i | ||||
\(204\) | −2976.87 | + | 6518.43i | −1.02168 | + | 2.23716i | ||||
\(205\) | −146.390 | − | 1018.16i | −0.0498747 | − | 0.346886i | ||||
\(206\) | −97.6102 | −0.0330137 | ||||||||
\(207\) | 47.1063 | + | 5585.14i | 0.0158170 | + | 1.87533i | ||||
\(208\) | −288.993 | −0.0963370 | ||||||||
\(209\) | 139.569 | + | 970.726i | 0.0461924 | + | 0.321275i | ||||
\(210\) | 185.568 | − | 406.338i | 0.0609782 | − | 0.133524i | ||||
\(211\) | −617.526 | + | 181.322i | −0.201480 | + | 0.0591598i | −0.380915 | − | 0.924610i | \(-0.624391\pi\) |
0.179436 | + | 0.983770i | \(0.442573\pi\) | |||||||
\(212\) | −505.129 | + | 582.950i | −0.163644 | + | 0.188855i | ||||
\(213\) | 6475.50 | + | 1901.38i | 2.08307 | + | 0.611645i | ||||
\(214\) | 71.3054 | − | 45.8252i | 0.0227773 | − | 0.0146381i | ||||
\(215\) | 537.634 | + | 1177.25i | 0.170541 | + | 0.373433i | ||||
\(216\) | 432.458 | + | 499.083i | 0.136227 | + | 0.157214i | ||||
\(217\) | −6021.66 | − | 3869.89i | −1.88377 | − | 1.21062i | ||||
\(218\) | 14.3432 | − | 99.7594i | 0.00445618 | − | 0.0309934i | ||||
\(219\) | 1136.24 | − | 7902.71i | 0.350593 | − | 2.43843i | ||||
\(220\) | 954.219 | + | 613.239i | 0.292425 | + | 0.187930i | ||||
\(221\) | −306.639 | − | 353.880i | −0.0933338 | − | 0.107713i | ||||
\(222\) | −126.618 | − | 277.254i | −0.0382794 | − | 0.0838202i | ||||
\(223\) | 23.7383 | − | 15.2557i | 0.00712840 | − | 0.00458114i | −0.537072 | − | 0.843537i | \(-0.680470\pi\) |
0.544200 | + | 0.838955i | \(0.316833\pi\) | |||||||
\(224\) | 921.641 | + | 270.618i | 0.274909 | + | 0.0807207i | ||||
\(225\) | 784.269 | − | 905.095i | 0.232376 | − | 0.268176i | ||||
\(226\) | −236.841 | + | 69.5428i | −0.0697099 | + | 0.0204687i | ||||
\(227\) | 2822.88 | − | 6181.25i | 0.825380 | − | 1.80733i | 0.308673 | − | 0.951168i | \(-0.400115\pi\) |
0.516707 | − | 0.856162i | \(-0.327158\pi\) | |||||||
\(228\) | −691.660 | − | 4810.60i | −0.200905 | − | 1.39732i | ||||
\(229\) | 281.246 | 0.0811583 | 0.0405791 | − | 0.999176i | \(-0.487080\pi\) | ||||
0.0405791 | + | 0.999176i | \(0.487080\pi\) | |||||||
\(230\) | 63.9393 | + | 211.153i | 0.0183306 | + | 0.0605348i | ||||
\(231\) | 3161.09 | 0.900365 | ||||||||
\(232\) | −95.1668 | − | 661.900i | −0.0269311 | − | 0.187310i | ||||
\(233\) | −825.179 | + | 1806.89i | −0.232014 | + | 0.508040i | −0.989451 | − | 0.144868i | \(-0.953724\pi\) |
0.757437 | + | 0.652908i | \(0.226451\pi\) | |||||||
\(234\) | −44.2405 | + | 12.9902i | −0.0123594 | + | 0.00362904i | ||||
\(235\) | −863.306 | + | 996.308i | −0.239642 | + | 0.276562i | ||||
\(236\) | 2110.84 | + | 619.800i | 0.582221 | + | 0.170956i | ||||
\(237\) | −3324.95 | + | 2136.81i | −0.911302 | + | 0.585658i | ||||
\(238\) | 213.732 | + | 468.007i | 0.0582107 | + | 0.127464i | ||||
\(239\) | −3220.98 | − | 3717.20i | −0.871747 | − | 1.00605i | −0.999898 | − | 0.0142954i | \(-0.995449\pi\) |
0.128150 | − | 0.991755i | \(-0.459096\pi\) | |||||||
\(240\) | −4705.23 | − | 3023.87i | −1.26550 | − | 0.813291i | ||||
\(241\) | −680.468 | + | 4732.76i | −0.181879 | + | 1.26500i | 0.670436 | + | 0.741967i | \(0.266107\pi\) |
−0.852315 | + | 0.523029i | \(0.824802\pi\) | |||||||
\(242\) | −31.9693 | + | 222.352i | −0.00849201 | + | 0.0590633i | ||||
\(243\) | 1262.70 | + | 811.485i | 0.333341 | + | 0.214225i | ||||
\(244\) | 2387.66 | + | 2755.51i | 0.626453 | + | 0.722965i | ||||
\(245\) | 1252.51 | + | 2742.61i | 0.326612 | + | 0.715179i | ||||
\(246\) | 150.473 | − | 96.7028i | 0.0389991 | − | 0.0250632i | ||||
\(247\) | 304.709 | + | 89.4706i | 0.0784946 | + | 0.0230481i | ||||
\(248\) | 586.405 | − | 676.747i | 0.150148 | − | 0.173280i | ||||
\(249\) | 3639.21 | − | 1068.57i | 0.926207 | − | 0.271959i | ||||
\(250\) | 123.511 | − | 270.452i | 0.0312462 | − | 0.0684196i | ||||
\(251\) | −480.334 | − | 3340.80i | −0.120790 | − | 0.840116i | −0.956664 | − | 0.291194i | \(-0.905947\pi\) |
0.835874 | − | 0.548922i | \(-0.184962\pi\) | |||||||
\(252\) | −10217.3 | −2.55407 | ||||||||
\(253\) | −1171.22 | + | 1032.29i | −0.291044 | + | 0.256520i | ||||
\(254\) | −325.259 | −0.0803487 | ||||||||
\(255\) | −1289.72 | − | 8970.18i | −0.316726 | − | 2.20288i | ||||
\(256\) | 1618.20 | − | 3543.37i | 0.395070 | − | 0.865082i | ||||
\(257\) | −6743.49 | + | 1980.07i | −1.63676 | + | 0.480596i | −0.965452 | − | 0.260582i | \(-0.916086\pi\) |
−0.671308 | + | 0.741178i | \(0.734267\pi\) | |||||||
\(258\) | −147.375 | + | 170.079i | −0.0355626 | + | 0.0410414i | ||||
\(259\) | 4234.59 | + | 1243.39i | 1.01593 | + | 0.298303i | ||||
\(260\) | 308.995 | − | 198.579i | 0.0737040 | − | 0.0473667i | ||||
\(261\) | 4435.89 | + | 9713.25i | 1.05201 | + | 2.30358i | ||||
\(262\) | 93.2340 | + | 107.598i | 0.0219848 | + | 0.0253718i | ||||
\(263\) | 6668.41 | + | 4285.53i | 1.56347 | + | 1.00478i | 0.981476 | + | 0.191585i | \(0.0613626\pi\) |
0.581991 | + | 0.813195i | \(0.302274\pi\) | |||||||
\(264\) | −56.2789 | + | 391.428i | −0.0131202 | + | 0.0912529i | ||||
\(265\) | 138.826 | − | 965.556i | 0.0321812 | − | 0.223825i | ||||
\(266\) | −293.547 | − | 188.651i | −0.0676637 | − | 0.0434848i | ||||
\(267\) | −1930.42 | − | 2227.82i | −0.442470 | − | 0.510638i | ||||
\(268\) | 1158.01 | + | 2535.69i | 0.263943 | + | 0.577955i | ||||
\(269\) | −1461.34 | + | 939.148i | −0.331225 | + | 0.212866i | −0.695674 | − | 0.718358i | \(-0.744894\pi\) |
0.364448 | + | 0.931224i | \(0.381258\pi\) | |||||||
\(270\) | −399.667 | − | 117.353i | −0.0900851 | − | 0.0264514i | ||||
\(271\) | −650.787 | + | 751.048i | −0.145876 | + | 0.168350i | −0.823985 | − | 0.566611i | \(-0.808254\pi\) |
0.678109 | + | 0.734961i | \(0.262800\pi\) | |||||||
\(272\) | 6181.03 | − | 1814.91i | 1.37787 | − | 0.404578i | ||||
\(273\) | 425.228 | − | 931.119i | 0.0942709 | − | 0.206425i | ||||
\(274\) | 44.7459 | + | 311.214i | 0.00986568 | + | 0.0686173i | ||||
\(275\) | 334.757 | 0.0734057 | ||||||||
\(276\) | 5804.19 | − | 5115.70i | 1.26584 | − | 1.11568i | ||||
\(277\) | 71.1195 | 0.0154266 | 0.00771328 | − | 0.999970i | \(-0.497545\pi\) | ||||
0.00771328 | + | 0.999970i | \(0.497545\pi\) | |||||||
\(278\) | −33.7707 | − | 234.881i | −0.00728574 | − | 0.0506734i | ||||
\(279\) | −5940.11 | + | 13007.0i | −1.27464 | + | 2.79108i | ||||
\(280\) | −776.389 | + | 227.968i | −0.165708 | + | 0.0486561i | ||||
\(281\) | 2743.18 | − | 3165.79i | 0.582364 | − | 0.672084i | −0.385748 | − | 0.922604i | \(-0.626056\pi\) |
0.968111 | + | 0.250521i | \(0.0806019\pi\) | |||||||
\(282\) | −219.951 | − | 64.5835i | −0.0464465 | − | 0.0136379i | ||||
\(283\) | −4755.76 | + | 3056.34i | −0.998943 | + | 0.641981i | −0.934509 | − | 0.355941i | \(-0.884161\pi\) |
−0.0644340 | + | 0.997922i | \(0.520524\pi\) | |||||||
\(284\) | −2532.94 | − | 5546.36i | −0.529233 | − | 1.15886i | ||||
\(285\) | 4024.93 | + | 4645.01i | 0.836548 | + | 0.965428i | ||||
\(286\) | −10.8422 | − | 6.96787i | −0.00224166 | − | 0.00144062i | ||||
\(287\) | −368.585 | + | 2563.57i | −0.0758080 | + | 0.527256i | ||||
\(288\) | 273.082 | − | 1899.33i | 0.0558733 | − | 0.388607i | ||||
\(289\) | 4647.77 | + | 2986.94i | 0.946014 | + | 0.607966i | ||||
\(290\) | 276.214 | + | 318.768i | 0.0559305 | + | 0.0645472i | ||||
\(291\) | −3115.37 | − | 6821.70i | −0.627581 | − | 1.37421i | ||||
\(292\) | −6068.16 | + | 3899.77i | −1.21614 | + | 0.781564i | ||||
\(293\) | 8812.11 | + | 2587.47i | 1.75703 | + | 0.515910i | 0.991794 | − | 0.127845i | \(-0.0408059\pi\) |
0.765232 | + | 0.643754i | \(0.222624\pi\) | |||||||
\(294\) | −343.334 | + | 396.228i | −0.0681076 | + | 0.0786004i | ||||
\(295\) | −2669.46 | + | 783.823i | −0.526854 | + | 0.154698i | ||||
\(296\) | −229.357 | + | 502.221i | −0.0450374 | + | 0.0986182i | ||||
\(297\) | −419.490 | − | 2917.62i | −0.0819572 | − | 0.570025i | ||||
\(298\) | 210.054 | 0.0408325 | ||||||||
\(299\) | 146.516 | + | 483.855i | 0.0283387 | + | 0.0935854i | ||||
\(300\) | −1658.94 | −0.319264 | ||||||||
\(301\) | −463.747 | − | 3225.43i | −0.0888037 | − | 0.617644i | ||||
\(302\) | −92.0244 | + | 201.505i | −0.0175345 | + | 0.0383951i | ||||
\(303\) | −1220.26 | + | 358.301i | −0.231361 | + | 0.0679336i | ||||
\(304\) | −2861.10 | + | 3301.88i | −0.539787 | + | 0.622947i | ||||
\(305\) | −4424.18 | − | 1299.06i | −0.830583 | − | 0.243881i | ||||
\(306\) | 864.641 | − | 555.671i | 0.161530 | − | 0.103809i | ||||
\(307\) | −1489.72 | − | 3262.04i | −0.276948 | − | 0.606431i | 0.719134 | − | 0.694872i | \(-0.244539\pi\) |
−0.996081 | + | 0.0884410i | \(0.971812\pi\) | |||||||
\(308\) | −1870.24 | − | 2158.37i | −0.345995 | − | 0.399300i | ||||
\(309\) | −3641.72 | − | 2340.39i | −0.670453 | − | 0.430874i | ||||
\(310\) | −80.3823 | + | 559.071i | −0.0147271 | + | 0.102429i | ||||
\(311\) | 677.976 | − | 4715.42i | 0.123616 | − | 0.859766i | −0.829790 | − | 0.558075i | \(-0.811540\pi\) |
0.953406 | − | 0.301691i | \(-0.0975509\pi\) | |||||||
\(312\) | 107.727 | + | 69.2321i | 0.0195476 | + | 0.0125625i | ||||
\(313\) | −2183.58 | − | 2519.98i | −0.394323 | − | 0.455073i | 0.523522 | − | 0.852012i | \(-0.324618\pi\) |
−0.917845 | + | 0.396939i | \(0.870072\pi\) | |||||||
\(314\) | 95.8515 | + | 209.886i | 0.0172268 | + | 0.0377214i | ||||
\(315\) | 10870.0 | − | 6985.70i | 1.94430 | − | 1.24952i | ||||
\(316\) | 3426.18 | + | 1006.02i | 0.609930 | + | 0.179092i | ||||
\(317\) | 2938.12 | − | 3390.77i | 0.520572 | − | 0.600772i | −0.433202 | − | 0.901297i | \(-0.642616\pi\) |
0.953774 | + | 0.300525i | \(0.0971619\pi\) | |||||||
\(318\) | 162.754 | − | 47.7889i | 0.0287006 | − | 0.00842725i | ||||
\(319\) | −1239.92 | + | 2715.05i | −0.217625 | + | 0.476531i | ||||
\(320\) | 711.921 | + | 4951.52i | 0.124368 | + | 0.864995i | ||||
\(321\) | 3759.06 | 0.653615 | ||||||||
\(322\) | −4.68493 | − | 555.467i | −0.000810811 | − | 0.0961334i | ||||
\(323\) | −7079.04 | −1.21947 | ||||||||
\(324\) | 529.990 | + | 3686.16i | 0.0908763 | + | 0.632058i | ||||
\(325\) | 45.0313 | − | 98.6048i | 0.00768581 | − | 0.0168296i | ||||
\(326\) | 305.634 | − | 89.7423i | 0.0519249 | − | 0.0152465i | ||||
\(327\) | 2927.05 | − | 3377.99i | 0.495004 | − | 0.571265i | ||||
\(328\) | −310.877 | − | 91.2817i | −0.0523332 | − | 0.0153664i | ||||
\(329\) | 2792.34 | − | 1794.53i | 0.467924 | − | 0.300716i | ||||
\(330\) | −103.619 | − | 226.894i | −0.0172850 | − | 0.0378488i | ||||
\(331\) | 294.424 | + | 339.783i | 0.0488912 | + | 0.0564235i | 0.779668 | − | 0.626193i | \(-0.215388\pi\) |
−0.730777 | + | 0.682616i | \(0.760842\pi\) | |||||||
\(332\) | −2882.72 | − | 1852.61i | −0.476536 | − | 0.306251i | ||||
\(333\) | 1254.71 | − | 8726.69i | 0.206479 | − | 1.43609i | ||||
\(334\) | 37.4725 | − | 260.627i | 0.00613893 | − | 0.0426972i | ||||
\(335\) | −2965.68 | − | 1905.93i | −0.483679 | − | 0.310842i | ||||
\(336\) | 9222.08 | + | 10642.9i | 1.49734 | + | 1.72802i | ||||
\(337\) | −3948.39 | − | 8645.76i | −0.638226 | − | 1.39752i | −0.901491 | − | 0.432797i | \(-0.857527\pi\) |
0.263265 | − | 0.964724i | \(-0.415201\pi\) | |||||||
\(338\) | 363.690 | − | 233.729i | 0.0585270 | − | 0.0376130i | ||||
\(339\) | −10503.7 | − | 3084.16i | −1.68284 | − | 0.494125i | ||||
\(340\) | −5361.72 | + | 6187.76i | −0.855236 | + | 0.986995i | ||||
\(341\) | −3835.01 | + | 1126.06i | −0.609025 | + | 0.178826i | ||||
\(342\) | −289.572 | + | 634.073i | −0.0457843 | + | 0.100254i | ||||
\(343\) | 156.936 | + | 1091.51i | 0.0247048 | + | 0.171826i | ||||
\(344\) | 407.652 | 0.0638928 | ||||||||
\(345\) | −2677.29 | + | 9410.92i | −0.417798 | + | 1.46860i | ||||
\(346\) | −225.238 | −0.0349968 | ||||||||
\(347\) | 1776.12 | + | 12353.2i | 0.274776 | + | 1.91111i | 0.395582 | + | 0.918431i | \(0.370543\pi\) |
−0.120806 | + | 0.992676i | \(0.538548\pi\) | |||||||
\(348\) | 6144.64 | − | 13454.9i | 0.946515 | − | 2.07258i | ||||
\(349\) | 6700.85 | − | 1967.55i | 1.02776 | − | 0.301778i | 0.275961 | − | 0.961169i | \(-0.411004\pi\) |
0.751800 | + | 0.659391i | \(0.229186\pi\) | |||||||
\(350\) | −77.9990 | + | 90.0157i | −0.0119121 | + | 0.0137473i | ||||
\(351\) | −915.834 | − | 268.913i | −0.139269 | − | 0.0408932i | ||||
\(352\) | 451.214 | − | 289.978i | 0.0683232 | − | 0.0439087i | ||||
\(353\) | 985.333 | + | 2157.58i | 0.148567 | + | 0.325315i | 0.969254 | − | 0.246062i | \(-0.0791366\pi\) |
−0.820688 | + | 0.571377i | \(0.806409\pi\) | |||||||
\(354\) | −316.810 | − | 365.618i | −0.0475657 | − | 0.0548938i | ||||
\(355\) | 6486.89 | + | 4168.87i | 0.969826 | + | 0.623269i | ||||
\(356\) | −379.021 | + | 2636.15i | −0.0564272 | + | 0.392459i | ||||
\(357\) | −3247.29 | + | 22585.4i | −0.481414 | + | 3.34831i | ||||
\(358\) | −669.717 | − | 430.401i | −0.0988705 | − | 0.0635402i | ||||
\(359\) | −5305.83 | − | 6123.26i | −0.780031 | − | 0.900203i | 0.217081 | − | 0.976154i | \(-0.430346\pi\) |
−0.997112 | + | 0.0759502i | \(0.975801\pi\) | |||||||
\(360\) | 671.495 | + | 1470.37i | 0.0983080 | + | 0.215264i | ||||
\(361\) | −1731.23 | + | 1112.60i | −0.252403 | + | 0.162210i | ||||
\(362\) | 532.104 | + | 156.240i | 0.0772562 | + | 0.0226845i | ||||
\(363\) | −6524.04 | + | 7529.15i | −0.943315 | + | 1.08864i | ||||
\(364\) | −887.345 | + | 260.548i | −0.127773 | + | 0.0375176i | ||||
\(365\) | 3789.47 | − | 8297.79i | 0.543425 | − | 1.18993i | ||||
\(366\) | −114.107 | − | 793.628i | −0.0162963 | − | 0.113343i | ||||
\(367\) | 3397.55 | 0.483244 | 0.241622 | − | 0.970370i | \(-0.422321\pi\) | ||||
0.241622 | + | 0.970370i | \(0.422321\pi\) | |||||||
\(368\) | −6892.45 | − | 931.722i | −0.976342 | − | 0.131982i | ||||
\(369\) | 5173.81 | 0.729912 | ||||||||
\(370\) | −49.5611 | − | 344.705i | −0.00696367 | − | 0.0484334i | ||||
\(371\) | −1020.30 | + | 2234.15i | −0.142780 | + | 0.312645i | ||||
\(372\) | 19005.1 | − | 5580.39i | 2.64883 | − | 0.777768i | ||||
\(373\) | −73.1032 | + | 84.3656i | −0.0101478 | + | 0.0117112i | −0.760801 | − | 0.648985i | \(-0.775194\pi\) |
0.750653 | + | 0.660697i | \(0.229739\pi\) | |||||||
\(374\) | 275.654 | + | 80.9392i | 0.0381115 | + | 0.0111906i | ||||
\(375\) | 11092.7 | − | 7128.82i | 1.52753 | − | 0.981682i | ||||
\(376\) | 172.498 | + | 377.717i | 0.0236593 | + | 0.0518066i | ||||
\(377\) | 632.942 | + | 730.454i | 0.0864673 | + | 0.0997886i | ||||
\(378\) | 882.287 | + | 567.011i | 0.120053 | + | 0.0771532i | ||||
\(379\) | 572.266 | − | 3980.20i | 0.0775603 | − | 0.539444i | −0.913584 | − | 0.406651i | \(-0.866697\pi\) |
0.991144 | − | 0.132793i | \(-0.0423944\pi\) | |||||||
\(380\) | 790.260 | − | 5496.38i | 0.106683 | − | 0.741996i | ||||
\(381\) | −12135.0 | − | 7798.71i | −1.63175 | − | 1.04866i | ||||
\(382\) | 488.403 | + | 563.648i | 0.0654160 | + | 0.0754940i | ||||
\(383\) | 2638.77 | + | 5778.09i | 0.352049 | + | 0.770879i | 0.999958 | + | 0.00916183i | \(0.00291634\pi\) |
−0.647909 | + | 0.761718i | \(0.724356\pi\) | |||||||
\(384\) | −2978.93 | + | 1914.44i | −0.395880 | + | 0.254417i | ||||
\(385\) | 3465.42 | + | 1017.54i | 0.458738 | + | 0.134698i | ||||
\(386\) | −94.9827 | + | 109.616i | −0.0125246 | + | 0.0144541i | ||||
\(387\) | −6245.90 | + | 1833.96i | −0.820406 | + | 0.240893i | ||||
\(388\) | −2814.62 | + | 6163.16i | −0.368275 | + | 0.806410i | ||||
\(389\) | 537.721 | + | 3739.93i | 0.0700862 | + | 0.487460i | 0.994388 | + | 0.105797i | \(0.0337394\pi\) |
−0.924302 | + | 0.381663i | \(0.875352\pi\) | |||||||
\(390\) | −80.7719 | −0.0104873 | ||||||||
\(391\) | −6172.38 | − | 9428.61i | −0.798339 | − | 1.21950i | ||||
\(392\) | 949.694 | 0.122364 | ||||||||
\(393\) | 898.586 | + | 6249.80i | 0.115338 | + | 0.802191i | ||||
\(394\) | −167.410 | + | 366.577i | −0.0214061 | + | 0.0468729i | ||||
\(395\) | −4332.89 | + | 1272.25i | −0.551927 | + | 0.162060i | ||||
\(396\) | −3736.10 | + | 4311.69i | −0.474107 | + | 0.547148i | ||||
\(397\) | −8482.77 | − | 2490.77i | −1.07239 | − | 0.314882i | −0.302558 | − | 0.953131i | \(-0.597841\pi\) |
−0.769830 | + | 0.638249i | \(0.779659\pi\) | |||||||
\(398\) | −652.021 | + | 419.028i | −0.0821177 | + | 0.0527738i | ||||
\(399\) | −6428.62 | − | 14076.7i | −0.806600 | − | 1.76621i | ||||
\(400\) | 976.611 | + | 1127.07i | 0.122076 | + | 0.140884i | ||||
\(401\) | 5337.82 | + | 3430.41i | 0.664733 | + | 0.427198i | 0.829023 | − | 0.559214i | \(-0.188897\pi\) |
−0.164290 | + | 0.986412i | \(0.552533\pi\) | |||||||
\(402\) | 87.2403 | − | 606.769i | 0.0108238 | − | 0.0752809i | ||||
\(403\) | −184.195 | + | 1281.11i | −0.0227678 | + | 0.158353i | ||||
\(404\) | 966.606 | + | 621.200i | 0.119036 | + | 0.0764996i | ||||
\(405\) | −3084.14 | − | 3559.28i | −0.378400 | − | 0.436697i | ||||
\(406\) | −441.169 | − | 966.026i | −0.0539282 | − | 0.118086i | ||||
\(407\) | 2073.16 | − | 1332.34i | 0.252488 | − | 0.162264i | ||||
\(408\) | −2738.87 | − | 804.205i | −0.332339 | − | 0.0975835i | ||||
\(409\) | 8153.48 | − | 9409.62i | 0.985730 | − | 1.13759i | −0.00475698 | − | 0.999989i | \(-0.501514\pi\) |
0.990487 | − | 0.137605i | \(-0.0439403\pi\) | |||||||
\(410\) | 196.087 | − | 57.5765i | 0.0236197 | − | 0.00693536i | ||||
\(411\) | −5792.54 | + | 12683.9i | −0.695195 | + | 1.52226i | ||||
\(412\) | 556.596 | + | 3871.21i | 0.0665571 | + | 0.462915i | ||||
\(413\) | 7004.99 | 0.834607 | ||||||||
\(414\) | −1097.01 | + | 167.181i | −0.130230 | + | 0.0198467i | ||||
\(415\) | 4333.54 | 0.512591 | ||||||||
\(416\) | −24.7178 | − | 171.916i | −0.00291319 | − | 0.0202617i | ||||
\(417\) | 4371.77 | − | 9572.83i | 0.513396 | − | 1.12418i | ||||
\(418\) | −186.951 | + | 54.8939i | −0.0218758 | + | 0.00642332i | ||||
\(419\) | 7220.58 | − | 8332.99i | 0.841881 | − | 0.971583i | −0.157993 | − | 0.987440i | \(-0.550502\pi\) |
0.999874 | + | 0.0158574i | \(0.00504777\pi\) | |||||||
\(420\) | −17173.5 | − | 5042.59i | −1.99519 | − | 0.585841i | ||||
\(421\) | 7865.76 | − | 5055.02i | 0.910579 | − | 0.585194i | 0.000669316 | − | 1.00000i | \(-0.499787\pi\) |
0.909910 | + | 0.414806i | \(0.136151\pi\) | |||||||
\(422\) | −53.1180 | − | 116.312i | −0.00612736 | − | 0.0134170i | ||||
\(423\) | −4342.24 | − | 5011.21i | −0.499118 | − | 0.576013i | ||||
\(424\) | −258.483 | − | 166.117i | −0.0296063 | − | 0.0190268i | ||||
\(425\) | −343.885 | + | 2391.77i | −0.0392491 | + | 0.272984i | ||||
\(426\) | −190.822 | + | 1327.20i | −0.0217027 | + | 0.150946i | ||||
\(427\) | 9766.62 | + | 6276.63i | 1.10688 | + | 0.711352i | ||||
\(428\) | −2224.02 | − | 2566.66i | −0.251174 | − | 0.289870i | ||||
\(429\) | −237.442 | − | 519.925i | −0.0267222 | − | 0.0585134i | ||||
\(430\) | −216.311 | + | 139.015i | −0.0242591 | + | 0.0155904i | ||||
\(431\) | −9210.03 | − | 2704.31i | −1.02931 | − | 0.302232i | −0.276878 | − | 0.960905i | \(-0.589300\pi\) |
−0.752429 | + | 0.658673i | \(0.771118\pi\) | |||||||
\(432\) | 8599.32 | − | 9924.15i | 0.957720 | − | 1.10527i | ||||
\(433\) | 2726.13 | − | 800.465i | 0.302562 | − | 0.0888404i | −0.126927 | − | 0.991912i | \(-0.540512\pi\) |
0.429490 | + | 0.903072i | \(0.358693\pi\) | |||||||
\(434\) | 590.770 | − | 1293.61i | 0.0653407 | − | 0.143076i | ||||
\(435\) | 2662.14 | + | 18515.6i | 0.293425 | + | 2.04082i | ||||
\(436\) | −4038.24 | −0.443570 | ||||||||
\(437\) | 6978.81 | + | 3116.25i | 0.763939 | + | 0.341122i | ||||
\(438\) | 1586.23 | 0.173043 | ||||||||
\(439\) | −967.153 | − | 6726.69i | −0.105147 | − | 0.731316i | −0.972378 | − | 0.233410i | \(-0.925012\pi\) |
0.867231 | − | 0.497906i | \(-0.165897\pi\) | |||||||
\(440\) | −187.696 | + | 410.997i | −0.0203365 | + | 0.0445307i | ||||
\(441\) | −14550.9 | + | 4272.52i | −1.57120 | + | 0.461346i | ||||
\(442\) | 60.9220 | − | 70.3077i | 0.00655603 | − | 0.00756606i | ||||
\(443\) | 6945.43 | + | 2039.36i | 0.744893 | + | 0.218720i | 0.632088 | − | 0.774897i | \(-0.282198\pi\) |
0.112805 | + | 0.993617i | \(0.464016\pi\) | |||||||
\(444\) | −10273.9 | + | 6602.62i | −1.09815 | + | 0.705736i | ||||
\(445\) | −1399.14 | − | 3063.69i | −0.149047 | − | 0.326366i | ||||
\(446\) | 3.67128 | + | 4.23689i | 0.000389777 | + | 0.000449826i | ||||
\(447\) | 7836.86 | + | 5036.44i | 0.829241 | + | 0.532921i | ||||
\(448\) | 1792.50 | − | 12467.1i | 0.189035 | − | 1.31476i | ||||
\(449\) | −2046.96 | + | 14236.9i | −0.215149 | + | 1.49640i | 0.540457 | + | 0.841372i | \(0.318251\pi\) |
−0.755606 | + | 0.655026i | \(0.772658\pi\) | |||||||
\(450\) | 200.166 | + | 128.639i | 0.0209687 | + | 0.0134758i | ||||
\(451\) | 947.048 | + | 1092.95i | 0.0988797 | + | 0.114113i | ||||
\(452\) | 4108.59 | + | 8996.55i | 0.427548 | + | 0.936199i | ||||
\(453\) | −8264.79 | + | 5311.46i | −0.857205 | + | 0.550892i | ||||
\(454\) | 1295.39 | + | 380.360i | 0.133911 | + | 0.0393197i | ||||
\(455\) | 765.890 | − | 883.884i | 0.0789131 | − | 0.0910706i | ||||
\(456\) | 1857.53 | − | 545.421i | 0.190761 | − | 0.0560124i | ||||
\(457\) | 3093.53 | − | 6773.89i | 0.316650 | − | 0.693368i | −0.682651 | − | 0.730745i | \(-0.739173\pi\) |
0.999301 | + | 0.0373770i | \(0.0119003\pi\) | |||||||
\(458\) | 7.95212 | + | 55.3082i | 0.000811306 | + | 0.00564276i | ||||
\(459\) | 21276.8 | 2.16365 | ||||||||
\(460\) | 8009.71 | − | 3739.87i | 0.811857 | − | 0.379070i | ||||
\(461\) | −10563.3 | −1.06720 | −0.533602 | − | 0.845735i | \(-0.679162\pi\) | ||||
−0.533602 | + | 0.845735i | \(0.679162\pi\) | |||||||
\(462\) | 89.3786 | + | 621.642i | 0.00900058 | + | 0.0626004i | ||||
\(463\) | −495.167 | + | 1084.26i | −0.0497027 | + | 0.108834i | −0.932854 | − | 0.360254i | \(-0.882690\pi\) |
0.883151 | + | 0.469088i | \(0.155417\pi\) | |||||||
\(464\) | −12758.4 | + | 3746.21i | −1.27650 | + | 0.374814i | ||||
\(465\) | −16403.8 | + | 18930.9i | −1.63593 | + | 1.88796i | ||||
\(466\) | −378.665 | − | 111.186i | −0.0376423 | − | 0.0110528i | ||||
\(467\) | −15865.5 | + | 10196.1i | −1.57209 | + | 1.01032i | −0.593422 | + | 0.804892i | \(0.702223\pi\) |
−0.978672 | + | 0.205431i | \(0.934140\pi\) | |||||||
\(468\) | 767.459 | + | 1680.50i | 0.0758030 | + | 0.165985i | ||||
\(469\) | 5812.63 | + | 6708.13i | 0.572287 | + | 0.660454i | ||||
\(470\) | −220.338 | − | 141.603i | −0.0216243 | − | 0.0138971i | ||||
\(471\) | −1456.30 | + | 10128.8i | −0.142469 | + | 0.990892i | ||||
\(472\) | −124.714 | + | 867.408i | −0.0121620 | + | 0.0845883i | ||||
\(473\) | −1530.71 | − | 983.728i | −0.148800 | − | 0.0956276i | ||||
\(474\) | −514.226 | − | 593.448i | −0.0498295 | − | 0.0575063i | ||||
\(475\) | −680.785 | − | 1490.71i | −0.0657612 | − | 0.143997i | ||||
\(476\) | 17342.4 | − | 11145.3i | 1.66993 | − | 1.07320i | ||||
\(477\) | 4707.73 | + | 1382.31i | 0.451891 | + | 0.132687i | ||||
\(478\) | 639.933 | − | 738.522i | 0.0612340 | − | 0.0706678i | ||||
\(479\) | −3861.10 | + | 1133.72i | −0.368305 | + | 0.108144i | −0.460648 | − | 0.887583i | \(-0.652383\pi\) |
0.0923423 | + | 0.995727i | \(0.470565\pi\) | |||||||
\(480\) | 1396.39 | − | 3057.67i | 0.132784 | − | 0.290756i | ||||
\(481\) | −113.569 | − | 789.888i | −0.0107657 | − | 0.0748769i | ||||
\(482\) | −949.959 | −0.0897706 | ||||||||
\(483\) | 13143.6 | − | 20836.1i | 1.23821 | − | 1.96289i | ||||
\(484\) | 9000.75 | 0.845299 | ||||||||
\(485\) | −1219.42 | − | 8481.28i | −0.114167 | − | 0.794052i | ||||
\(486\) | −123.880 | + | 271.259i | −0.0115624 | + | 0.0253180i | ||||
\(487\) | 14333.1 | − | 4208.57i | 1.33366 | − | 0.391599i | 0.464258 | − | 0.885700i | \(-0.346321\pi\) |
0.869404 | + | 0.494101i | \(0.164503\pi\) | |||||||
\(488\) | −951.098 | + | 1097.63i | −0.0882258 | + | 0.101818i | ||||
\(489\) | 13554.6 | + | 3979.98i | 1.25350 | + | 0.368060i | ||||
\(490\) | −503.932 | + | 323.858i | −0.0464599 | + | 0.0298579i | ||||
\(491\) | 6476.08 | + | 14180.6i | 0.595237 | + | 1.30339i | 0.932225 | + | 0.361878i | \(0.117864\pi\) |
−0.336989 | + | 0.941509i | \(0.609408\pi\) | |||||||
\(492\) | −4693.26 | − | 5416.31i | −0.430058 | − | 0.496313i | ||||
\(493\) | −18124.8 | − | 11648.1i | −1.65578 | − | 1.06410i | ||||
\(494\) | −8.97925 | + | 62.4521i | −0.000817805 | + | 0.00568796i | ||||
\(495\) | 1026.80 | − | 7141.57i | 0.0932350 | − | 0.648464i | ||||
\(496\) | −14979.4 | − | 9626.70i | −1.35604 | − | 0.871475i | ||||
\(497\) | −12714.1 | − | 14672.8i | −1.14749 | − | 1.32428i | ||||
\(498\) | 313.036 | + | 685.453i | 0.0281676 | + | 0.0616785i | ||||
\(499\) | −3405.89 | + | 2188.83i | −0.305548 | + | 0.196364i | −0.684425 | − | 0.729083i | \(-0.739947\pi\) |
0.378877 | + | 0.925447i | \(0.376310\pi\) | |||||||
\(500\) | −11430.4 | − | 3356.27i | −1.02237 | − | 0.300194i | ||||
\(501\) | 7647.08 | − | 8825.20i | 0.681929 | − | 0.786988i | ||||
\(502\) | 643.401 | − | 188.920i | 0.0572040 | − | 0.0167966i | ||||
\(503\) | 1814.39 | − | 3972.96i | 0.160834 | − | 0.352178i | −0.812008 | − | 0.583646i | \(-0.801626\pi\) |
0.972842 | + | 0.231468i | \(0.0743529\pi\) | |||||||
\(504\) | −579.211 | − | 4028.50i | −0.0511907 | − | 0.356039i | ||||
\(505\) | −1453.08 | −0.128042 | ||||||||
\(506\) | −236.121 | − | 201.138i | −0.0207447 | − | 0.0176713i | ||||
\(507\) | 19172.9 | 1.67949 | ||||||||
\(508\) | 1854.71 | + | 12899.8i | 0.161987 | + | 1.12664i | ||||
\(509\) | −2562.65 | + | 5611.42i | −0.223158 | + | 0.488648i | −0.987785 | − | 0.155825i | \(-0.950196\pi\) |
0.764626 | + | 0.644474i | \(0.222924\pi\) | |||||||
\(510\) | 1727.56 | − | 507.257i | 0.149995 | − | 0.0440426i | ||||
\(511\) | −15040.8 | + | 17358.0i | −1.30209 | + | 1.50269i | ||||
\(512\) | 3827.43 | + | 1123.83i | 0.330371 | + | 0.0970057i | ||||
\(513\) | −12139.4 | + | 7801.52i | −1.04477 | + | 0.671434i | ||||
\(514\) | −580.059 | − | 1270.15i | −0.0497768 | − | 0.108996i | ||||
\(515\) | −3238.96 | − | 3737.96i | −0.277137 | − | 0.319834i | ||||
\(516\) | 7585.70 | + | 4875.03i | 0.647174 | + | 0.415913i | ||||
\(517\) | 263.771 | − | 1834.57i | 0.0224384 | − | 0.156062i | ||||
\(518\) | −124.786 | + | 867.908i | −0.0105845 | + | 0.0736171i | ||||
\(519\) | −8403.36 | − | 5400.51i | −0.710726 | − | 0.456756i | ||||
\(520\) | 95.8132 | + | 110.574i | 0.00808017 | + | 0.00932501i | ||||
\(521\) | 9069.37 | + | 19859.2i | 0.762642 | + | 1.66995i | 0.742216 | + | 0.670161i | \(0.233775\pi\) |
0.0204262 | + | 0.999791i | \(0.493498\pi\) | |||||||
\(522\) | −1784.73 | + | 1146.98i | −0.149647 | + | 0.0961720i | ||||
\(523\) | −12436.8 | − | 3651.79i | −1.03982 | − | 0.305318i | −0.283122 | − | 0.959084i | \(-0.591370\pi\) |
−0.756697 | + | 0.653766i | \(0.773188\pi\) | |||||||
\(524\) | 3735.68 | − | 4311.20i | 0.311439 | − | 0.359419i | ||||
\(525\) | −5068.35 | + | 1488.20i | −0.421335 | + | 0.123715i | ||||
\(526\) | −654.221 | + | 1432.54i | −0.0542308 | + | 0.118749i | ||||
\(527\) | −4105.91 | − | 28557.2i | −0.339386 | − | 2.36048i | ||||
\(528\) | 7863.49 | 0.648134 | ||||||||
\(529\) | 1934.43 | + | 12012.2i | 0.158990 | + | 0.987280i | ||||
\(530\) | 193.806 | 0.0158838 | ||||||||
\(531\) | −1991.50 | − | 13851.2i | −0.162757 | − | 1.13200i | ||||
\(532\) | −5808.02 | + | 12717.8i | −0.473327 | + | 1.03644i | ||||
\(533\) | 449.333 | − | 131.936i | 0.0365155 | − | 0.0107219i | ||||
\(534\) | 383.529 | − | 442.616i | 0.0310804 | − | 0.0358686i | ||||
\(535\) | 4120.97 | + | 1210.03i | 0.333019 | + | 0.0977831i | ||||
\(536\) | −934.136 | + | 600.332i | −0.0752771 | + | 0.0483776i | ||||
\(537\) | −14666.7 | − | 32115.5i | −1.17861 | − | 2.58079i | ||||
\(538\) | −226.007 | − | 260.825i | −0.0181112 | − | 0.0209015i | ||||
\(539\) | −3566.05 | − | 2291.76i | −0.284973 | − | 0.183141i | ||||
\(540\) | −2375.21 | + | 16519.9i | −0.189283 | + | 1.31649i | ||||
\(541\) | 1217.02 | − | 8464.57i | 0.0967169 | − | 0.672681i | −0.882567 | − | 0.470187i | \(-0.844186\pi\) |
0.979284 | − | 0.202494i | \(-0.0649046\pi\) | |||||||
\(542\) | −166.098 | − | 106.744i | −0.0131633 | − | 0.00845954i | ||||
\(543\) | 16106.0 | + | 18587.3i | 1.27288 | + | 1.46898i | ||||
\(544\) | 1608.32 | + | 3521.73i | 0.126757 | + | 0.277560i | ||||
\(545\) | 4296.21 | − | 2761.01i | 0.337669 | − | 0.217007i | ||||
\(546\) | 195.132 | + | 57.2959i | 0.0152946 | + | 0.00449091i | ||||
\(547\) | −6261.79 | + | 7226.49i | −0.489460 | + | 0.564867i | −0.945721 | − | 0.324979i | \(-0.894643\pi\) |
0.456261 | + | 0.889846i | \(0.349188\pi\) | |||||||
\(548\) | 12087.6 | − | 3549.24i | 0.942256 | − | 0.276671i | ||||
\(549\) | 9634.35 | − | 21096.3i | 0.748969 | − | 1.64001i | ||||
\(550\) | 9.46512 | + | 65.8313i | 0.000733807 | + | 0.00510374i | ||||
\(551\) | 14612.0 | 1.12975 | ||||||||
\(552\) | 2346.07 | + | 1998.49i | 0.180898 | + | 0.154097i | ||||
\(553\) | 11370.0 | 0.874328 | ||||||||
\(554\) | 2.01088 | + | 13.9860i | 0.000154213 | + | 0.00107258i | ||||
\(555\) | 6415.89 | − | 14048.8i | 0.490701 | − | 1.07449i | ||||
\(556\) | −9122.78 | + | 2678.69i | −0.695849 | + | 0.204320i | ||||
\(557\) | 1925.82 | − | 2222.51i | 0.146498 | − | 0.169068i | −0.677758 | − | 0.735285i | \(-0.737048\pi\) |
0.824256 | + | 0.566217i | \(0.191594\pi\) | |||||||
\(558\) | −2725.84 | − | 800.380i | −0.206800 | − | 0.0607218i | ||||
\(559\) | −495.674 | + | 318.551i | −0.0375041 | + | 0.0241024i | ||||
\(560\) | 6684.05 | + | 14636.0i | 0.504380 | + | 1.10444i | ||||
\(561\) | 8343.63 | + | 9629.06i | 0.627929 | + | 0.724669i | ||||
\(562\) | 700.130 | + | 449.946i | 0.0525502 | + | 0.0337719i | ||||
\(563\) | −1757.94 | + | 12226.8i | −0.131596 | + | 0.915269i | 0.811879 | + | 0.583826i | \(0.198445\pi\) |
−0.943475 | + | 0.331444i | \(0.892464\pi\) | |||||||
\(564\) | −1307.16 | + | 9091.52i | −0.0975914 | + | 0.678763i | ||||
\(565\) | −10522.1 | − | 6762.17i | −0.783486 | − | 0.503516i | ||||
\(566\) | −735.511 | − | 848.825i | −0.0546216 | − | 0.0630367i | ||||
\(567\) | 4925.98 | + | 10786.4i | 0.364853 | + | 0.798918i | ||||
\(568\) | 2043.25 | − | 1313.12i | 0.150938 | − | 0.0970021i | ||||
\(569\) | −1796.91 | − | 527.620i | −0.132391 | − | 0.0388735i | 0.214866 | − | 0.976644i | \(-0.431069\pi\) |
−0.347257 | + | 0.937770i | \(0.612887\pi\) | |||||||
\(570\) | −799.659 | + | 922.856i | −0.0587615 | + | 0.0678143i | ||||
\(571\) | −19543.7 | + | 5738.55i | −1.43236 | + | 0.420580i | −0.903668 | − | 0.428233i | \(-0.859136\pi\) |
−0.528694 | + | 0.848812i | \(0.677318\pi\) | |||||||
\(572\) | −214.520 | + | 469.734i | −0.0156810 | + | 0.0343366i | ||||
\(573\) | 4707.22 | + | 32739.4i | 0.343188 | + | 2.38693i | ||||
\(574\) | −514.558 | −0.0374168 | ||||||||
\(575\) | 1391.89 | − | 2206.53i | 0.100950 | − | 0.160032i | ||||
\(576\) | −25161.2 | −1.82011 | ||||||||
\(577\) | 637.099 | + | 4431.12i | 0.0459667 | + | 0.319705i | 0.999812 | + | 0.0194060i | \(0.00617751\pi\) |
−0.953845 | + | 0.300299i | \(0.902913\pi\) | |||||||
\(578\) | −455.981 | + | 998.458i | −0.0328137 | + | 0.0718519i | ||||
\(579\) | −6171.94 | + | 1812.24i | −0.443000 | + | 0.130076i | ||||
\(580\) | 11067.3 | − | 12772.3i | 0.792317 | − | 0.914382i | ||||
\(581\) | −10469.1 | − | 3074.02i | −0.747562 | − | 0.219504i | ||||
\(582\) | 1253.43 | − | 805.532i | 0.0892722 | − | 0.0573717i | ||||
\(583\) | 569.724 | + | 1247.52i | 0.0404726 | + | 0.0886227i | ||||
\(584\) | −1881.62 | − | 2171.50i | −0.133325 | − | 0.153865i | ||||
\(585\) | −1965.47 | − | 1263.13i | −0.138910 | − | 0.0892720i | ||||
\(586\) | −259.678 | + | 1806.10i | −0.0183058 | + | 0.127320i | ||||
\(587\) | 1185.74 | − | 8246.98i | 0.0833741 | − | 0.579880i | −0.904717 | − | 0.426012i | \(-0.859918\pi\) |
0.988091 | − | 0.153867i | \(-0.0491729\pi\) | |||||||
\(588\) | 17672.2 | + | 11357.2i | 1.23943 | + | 0.796536i | ||||
\(589\) | 12813.7 | + | 14787.7i | 0.896396 | + | 1.03450i | ||||
\(590\) | −229.620 | − | 502.798i | −0.0160226 | − | 0.0350845i | ||||
\(591\) | −15035.3 | + | 9662.58i | −1.04648 | + | 0.672530i | ||||
\(592\) | 10533.9 | + | 3093.04i | 0.731321 | + | 0.214735i | ||||
\(593\) | 11572.8 | − | 13355.7i | 0.801415 | − | 0.924882i | −0.197043 | − | 0.980395i | \(-0.563134\pi\) |
0.998458 | + | 0.0555130i | \(0.0176794\pi\) | |||||||
\(594\) | 561.902 | − | 164.989i | 0.0388133 | − | 0.0113966i | ||||
\(595\) | −10830.1 | + | 23714.5i | −0.746200 | + | 1.63395i | ||||
\(596\) | −1197.78 | − | 8330.72i | −0.0823202 | − | 0.572550i | ||||
\(597\) | −34373.1 | −2.35644 | ||||||||
\(598\) | −91.0095 | + | 42.4939i | −0.00622350 | + | 0.00290586i | ||||
\(599\) | 6746.87 | 0.460217 | 0.230108 | − | 0.973165i | \(-0.426092\pi\) | ||||
0.230108 | + | 0.973165i | \(0.426092\pi\) | |||||||
\(600\) | −94.0446 | − | 654.095i | −0.00639892 | − | 0.0445055i | ||||
\(601\) | 8009.89 | − | 17539.2i | 0.543644 | − | 1.19041i | −0.416043 | − | 0.909345i | \(-0.636583\pi\) |
0.959687 | − | 0.281070i | \(-0.0906892\pi\) | |||||||
\(602\) | 621.183 | − | 182.396i | 0.0420557 | − | 0.0123487i | ||||
\(603\) | 11611.7 | − | 13400.6i | 0.784187 | − | 0.905000i | ||||
\(604\) | 8516.43 | + | 2500.65i | 0.573723 | + | 0.168460i | ||||
\(605\) | −9575.74 | + | 6153.95i | −0.643486 | + | 0.413544i | ||||
\(606\) | −104.964 | − | 229.839i | −0.00703609 | − | 0.0154069i | ||||
\(607\) | 6686.61 | + | 7716.76i | 0.447119 | + | 0.516003i | 0.933906 | − | 0.357518i | \(-0.116377\pi\) |
−0.486788 | + | 0.873520i | \(0.661831\pi\) | |||||||
\(608\) | −2208.93 | − | 1419.59i | −0.147342 | − | 0.0946908i | ||||
\(609\) | 6702.82 | − | 46619.1i | 0.445996 | − | 3.10197i | ||||
\(610\) | 130.373 | − | 906.765i | 0.00865353 | − | 0.0601866i | ||||
\(611\) | −504.903 | − | 324.481i | −0.0334307 | − | 0.0214846i | ||||
\(612\) | −26968.3 | − | 31123.0i | −1.78125 | − | 2.05568i | ||||
\(613\) | −10694.0 | − | 23416.7i | −0.704614 | − | 1.54289i | −0.834285 | − | 0.551333i | \(-0.814119\pi\) |
0.129671 | − | 0.991557i | \(-0.458608\pi\) | |||||||
\(614\) | 599.372 | − | 385.193i | 0.0393953 | − | 0.0253178i | ||||
\(615\) | 8696.29 | + | 2553.46i | 0.570192 | + | 0.167424i | ||||
\(616\) | 744.986 | − | 859.760i | 0.0487279 | − | 0.0562349i | ||||
\(617\) | 14446.5 | − | 4241.88i | 0.942618 | − | 0.276777i | 0.225908 | − | 0.974149i | \(-0.427465\pi\) |
0.716710 | + | 0.697371i | \(0.245647\pi\) | |||||||
\(618\) | 357.280 | − | 782.333i | 0.0232555 | − | 0.0509224i | ||||
\(619\) | 2614.42 | + | 18183.7i | 0.169761 | + | 1.18072i | 0.879377 | + | 0.476126i | \(0.157960\pi\) |
−0.709616 | + | 0.704589i | \(0.751131\pi\) | |||||||
\(620\) | 22631.1 | 1.46594 | ||||||||
\(621\) | −20975.5 | − | 9366.21i | −1.35542 | − | 0.605238i | ||||
\(622\) | 946.479 | 0.0610134 | ||||||||
\(623\) | 1206.86 | + | 8393.88i | 0.0776112 | + | 0.539797i | ||||
\(624\) | 1057.79 | − | 2316.25i | 0.0678616 | − | 0.148596i | ||||
\(625\) | 11618.7 | − | 3411.55i | 0.743594 | − | 0.218339i | ||||
\(626\) | 433.826 | − | 500.661i | 0.0276983 | − | 0.0319656i | ||||
\(627\) | −8291.11 | − | 2434.49i | −0.528094 | − | 0.155062i | ||||
\(628\) | 7777.48 | − | 4998.28i | 0.494196 | − | 0.317601i | ||||
\(629\) | 7389.61 | + | 16181.0i | 0.468431 | + | 1.02572i | ||||
\(630\) | 1681.11 | + | 1940.11i | 0.106313 | + | 0.122692i | ||||
\(631\) | 19578.6 | + | 12582.4i | 1.23520 | + | 0.793817i | 0.984693 | − | 0.174297i | \(-0.0557653\pi\) |
0.250510 | + | 0.968114i | \(0.419402\pi\) | |||||||
\(632\) | −202.428 | + | 1407.92i | −0.0127408 | + | 0.0886140i | ||||
\(633\) | 807.039 | − | 5613.08i | 0.0506744 | − | 0.352448i | ||||
\(634\) | 749.884 | + | 481.921i | 0.0469743 | + | 0.0301885i | ||||
\(635\) | −10793.0 | − | 12455.7i | −0.674497 | − | 0.778411i | ||||
\(636\) | −2823.36 | − | 6182.30i | −0.176028 | − | 0.385447i | ||||
\(637\) | −1154.76 | + | 742.117i | −0.0718259 | + | 0.0461597i | ||||
\(638\) | −568.984 | − | 167.069i | −0.0353077 | − | 0.0103673i | ||||
\(639\) | −25398.5 | + | 29311.4i | −1.57237 | + | 1.81462i | ||||
\(640\) | −3881.98 | + | 1139.85i | −0.239763 | + | 0.0704009i | ||||
\(641\) | −7220.43 | + | 15810.5i | −0.444914 | + | 0.974225i | 0.545756 | + | 0.837944i | \(0.316242\pi\) |
−0.990670 | + | 0.136281i | \(0.956485\pi\) | |||||||
\(642\) | 106.286 | + | 739.237i | 0.00653393 | + | 0.0454445i | ||||
\(643\) | −28080.8 | −1.72224 | −0.861119 | − | 0.508403i | \(-0.830236\pi\) | ||||
−0.861119 | + | 0.508403i | \(0.830236\pi\) | |||||||
\(644\) | −22003.1 | + | 3353.21i | −1.34634 | + | 0.205178i | ||||
\(645\) | −11403.4 | −0.696139 | ||||||||
\(646\) | −200.157 | − | 1392.12i | −0.0121905 | − | 0.0847870i | ||||
\(647\) | −2996.35 | + | 6561.09i | −0.182069 | + | 0.398676i | −0.978556 | − | 0.205980i | \(-0.933962\pi\) |
0.796487 | + | 0.604655i | \(0.206689\pi\) | |||||||
\(648\) | −1423.35 | + | 417.933i | −0.0862878 | + | 0.0253364i | ||||
\(649\) | 2561.49 | − | 2956.11i | 0.154926 | − | 0.178794i | ||||
\(650\) | 20.6643 | + | 6.06759i | 0.00124696 | + | 0.000366139i | ||||
\(651\) | 53057.6 | − | 34098.0i | 3.19430 | − | 2.05285i | ||||
\(652\) | −5301.97 | − | 11609.7i | −0.318468 | − | 0.697348i | ||||
\(653\) | −6706.04 | − | 7739.18i | −0.401880 | − | 0.463794i | 0.518352 | − | 0.855167i | \(-0.326546\pi\) |
−0.920232 | + | 0.391373i | \(0.872000\pi\) | |||||||
\(654\) | 747.059 | + | 480.106i | 0.0446671 | + | 0.0287058i | ||||
\(655\) | −1026.69 | + | 7140.75i | −0.0612457 | + | 0.425973i | ||||
\(656\) | −916.889 | + | 6377.11i | −0.0545709 | + | 0.379549i | ||||
\(657\) | 38598.7 | + | 24805.9i | 2.29205 | + | 1.47301i | ||||
\(658\) | 431.855 | + | 498.387i | 0.0255858 | + | 0.0295276i | ||||
\(659\) | −9715.89 | − | 21274.8i | −0.574321 | − | 1.25759i | −0.944465 | − | 0.328613i | \(-0.893419\pi\) |
0.370144 | − | 0.928974i | \(-0.379308\pi\) | |||||||
\(660\) | −8407.73 | + | 5403.32i | −0.495864 | + | 0.318673i | ||||
\(661\) | −13921.0 | − | 4087.59i | −0.819161 | − | 0.240527i | −0.154807 | − | 0.987945i | \(-0.549475\pi\) |
−0.664355 | + | 0.747417i | \(0.731294\pi\) | |||||||
\(662\) | −58.4951 | + | 67.5070i | −0.00343426 | + | 0.00396334i | ||||
\(663\) | 3958.69 | − | 1162.38i | 0.231889 | − | 0.0680889i | ||||
\(664\) | 567.036 | − | 1241.64i | 0.0331405 | − | 0.0725675i | ||||
\(665\) | −2516.30 | − | 17501.3i | −0.146734 | − | 1.02056i | ||||
\(666\) | 1751.62 | 0.101913 | ||||||||
\(667\) | 12740.6 | + | 19461.8i | 0.739606 | + | 1.12978i | ||||
\(668\) | −10550.1 | −0.611072 | ||||||||
\(669\) | 35.3837 | + | 246.099i | 0.00204486 | + | 0.0142223i | ||||
\(670\) | 290.956 | − | 637.104i | 0.0167770 | − | 0.0367365i | ||||
\(671\) | 6220.06 | − | 1826.38i | 0.357858 | − | 0.105077i | ||||
\(672\) | −5542.43 | + | 6396.30i | −0.318160 | + | 0.367177i | ||||
\(673\) | −16998.2 | − | 4991.13i | −0.973601 | − | 0.285875i | −0.244020 | − | 0.969770i | \(-0.578466\pi\) |
−0.729580 | + | 0.683895i | \(0.760285\pi\) | |||||||
\(674\) | 1588.59 | − | 1020.92i | 0.0907865 | − | 0.0583449i | ||||
\(675\) | 2046.17 | + | 4480.49i | 0.116677 | + | 0.255488i | ||||
\(676\) | −11343.5 | − | 13091.1i | −0.645399 | − | 0.744830i | ||||
\(677\) | 6108.28 | + | 3925.56i | 0.346766 | + | 0.222853i | 0.702417 | − | 0.711766i | \(-0.252104\pi\) |
−0.355651 | + | 0.934619i | \(0.615741\pi\) | |||||||
\(678\) | 309.525 | − | 2152.80i | 0.0175328 | − | 0.121943i | ||||
\(679\) | −3070.30 | + | 21354.4i | −0.173531 | + | 1.20693i | ||||
\(680\) | −2743.69 | − | 1763.26i | −0.154729 | − | 0.0994381i | ||||
\(681\) | 39209.4 | + | 45250.1i | 2.20633 | + | 2.54624i | ||||
\(682\) | −329.879 | − | 722.333i | −0.0185216 | − | 0.0405566i | ||||
\(683\) | 25305.5 | − | 16262.8i | 1.41770 | − | 0.911098i | 0.417699 | − | 0.908586i | \(-0.362837\pi\) |
0.999997 | − | 0.00251218i | \(-0.000799652\pi\) | |||||||
\(684\) | 26798.5 | + | 7868.75i | 1.49805 | + | 0.439867i | ||||
\(685\) | −10433.1 | + | 12040.4i | −0.581940 | + | 0.671594i | ||||
\(686\) | −210.214 | + | 61.7244i | −0.0116997 | + | 0.00343535i | ||||
\(687\) | −1029.44 | + | 2254.15i | −0.0571695 | + | 0.125184i | ||||
\(688\) | −1153.61 | − | 8023.56i | −0.0639260 | − | 0.444615i | ||||
\(689\) | 444.105 | 0.0245559 | ||||||||
\(690\) | −1926.40 | − | 260.411i | −0.106285 | − | 0.0143676i | ||||
\(691\) | −6377.88 | −0.351123 | −0.175562 | − | 0.984468i | \(-0.556174\pi\) | ||||
−0.175562 | + | 0.984468i | \(0.556174\pi\) | |||||||
\(692\) | 1284.36 | + | 8932.93i | 0.0705550 | + | 0.490721i | ||||
\(693\) | −7546.49 | + | 16524.5i | −0.413662 | + | 0.905793i | ||||
\(694\) | −2379.09 | + | 698.564i | −0.130128 | + | 0.0382091i | ||||
\(695\) | 7874.11 | − | 9087.20i | 0.429758 | − | 0.495967i | ||||
\(696\) | 5653.38 | + | 1659.98i | 0.307889 | + | 0.0904044i | ||||
\(697\) | −8781.81 | + | 5643.73i | −0.477238 | + | 0.306702i | ||||
\(698\) | 576.391 | + | 1262.12i | 0.0312561 | + | 0.0684412i | ||||
\(699\) | −11461.6 | − | 13227.4i | −0.620198 | − | 0.715747i | ||||
\(700\) | 4014.78 | + | 2580.15i | 0.216778 | + | 0.139315i | ||||
\(701\) | −1097.12 | + | 7630.63i | −0.0591122 | + | 0.411134i | 0.938684 | + | 0.344779i | \(0.112046\pi\) |
−0.997796 | + | 0.0663551i | \(0.978863\pi\) | |||||||
\(702\) | 26.9881 | − | 187.706i | 0.00145100 | − | 0.0100919i | ||||
\(703\) | −10149.2 | − | 6522.49i | −0.544500 | − | 0.349929i | ||||
\(704\) | −4605.67 | − | 5315.22i | −0.246566 | − | 0.284553i | ||||
\(705\) | −4825.35 | − | 10566.0i | −0.257778 | − | 0.564454i | ||||
\(706\) | −396.437 | + | 254.775i | −0.0211333 | + | 0.0135816i | ||||
\(707\) | 3510.41 | + | 1030.75i | 0.186736 | + | 0.0548306i | ||||
\(708\) | −12693.9 | + | 14649.5i | −0.673821 | + | 0.777631i | ||||
\(709\) | 34408.5 | − | 10103.3i | 1.82262 | − | 0.535170i | 0.823155 | − | 0.567816i | \(-0.192212\pi\) |
0.999467 | + | 0.0326459i | \(0.0103933\pi\) | |||||||
\(710\) | −636.412 | + | 1393.55i | −0.0336396 | + | 0.0736605i | ||||
\(711\) | −3232.47 | − | 22482.3i | −0.170502 | − | 1.18587i | ||||
\(712\) | −1060.88 | −0.0558400 | ||||||||
\(713\) | −8523.35 | + | 29960.4i | −0.447689 | + | 1.57367i | ||||
\(714\) | −4533.33 | −0.237613 | ||||||||
\(715\) | −92.9401 | − | 646.412i | −0.00486121 | − | 0.0338104i | ||||
\(716\) | −13250.8 | + | 29015.2i | −0.691628 | + | 1.51445i | ||||
\(717\) | 41582.6 | − | 12209.7i | 2.16587 | − | 0.635957i | ||||
\(718\) | 1054.14 | − | 1216.55i | 0.0547915 | − | 0.0632328i | ||||
\(719\) | −9588.78 | − | 2815.52i | −0.497359 | − | 0.146038i | 0.0234260 | − | 0.999726i | \(-0.492543\pi\) |
−0.520785 | + | 0.853688i | \(0.674361\pi\) | |||||||
\(720\) | 27040.0 | − | 17377.6i | 1.39961 | − | 0.899478i | ||||
\(721\) | 5173.27 | + | 11327.9i | 0.267216 | + | 0.585121i | ||||
\(722\) | −267.747 | − | 308.996i | −0.0138013 | − | 0.0159275i | ||||
\(723\) | −35441.8 | − | 22777.1i | −1.82309 | − | 1.17163i | ||||
\(724\) | 3162.28 | − | 21994.1i | 0.162327 | − | 1.12901i | ||||
\(725\) | 709.823 | − | 4936.93i | 0.0363616 | − | 0.252901i | ||||
\(726\) | −1665.10 | − | 1070.10i | −0.0851210 | − | 0.0547039i | ||||
\(727\) | 3997.84 | + | 4613.76i | 0.203950 | + | 0.235371i | 0.848505 | − | 0.529187i | \(-0.177503\pi\) |
−0.644555 | + | 0.764558i | \(0.722957\pi\) | |||||||
\(728\) | −153.033 | − | 335.095i | −0.00779090 | − | 0.0170597i | ||||
\(729\) | −21751.7 | + | 13979.0i | −1.10510 | + | 0.710204i | ||||
\(730\) | 1738.94 | + | 510.600i | 0.0881660 | + | 0.0258879i | ||||
\(731\) | 8601.01 | − | 9926.10i | 0.435185 | − | 0.502230i | ||||
\(732\) | −30824.6 | + | 9050.91i | −1.55643 | + | 0.457010i | ||||
\(733\) | −3732.90 | + | 8173.91i | −0.188101 | + | 0.411883i | −0.980063 | − | 0.198687i | \(-0.936332\pi\) |
0.791962 | + | 0.610570i | \(0.209060\pi\) | |||||||
\(734\) | 96.0645 | + | 668.143i | 0.00483080 | + | 0.0335989i | ||||
\(735\) | −26566.2 | −1.33321 | ||||||||
\(736\) | −35.2539 | − | 4179.86i | −0.00176559 | − | 0.209336i | ||||
\(737\) | 4956.32 | 0.247718 | ||||||||
\(738\) | 146.287 | + | 1017.45i | 0.00729664 | + | 0.0507492i | ||||
\(739\) | 8281.43 | − | 18133.8i | 0.412229 | − | 0.902656i | −0.583654 | − | 0.812003i | \(-0.698377\pi\) |
0.995883 | − | 0.0906528i | \(-0.0288954\pi\) | |||||||
\(740\) | −13388.4 | + | 3931.18i | −0.665089 | + | 0.195288i | ||||
\(741\) | −1832.41 | + | 2114.72i | −0.0908439 | + | 0.104839i | ||||
\(742\) | −468.204 | − | 137.477i | −0.0231648 | − | 0.00680181i | ||||
\(743\) | −1748.75 | + | 1123.85i | −0.0863465 | + | 0.0554915i | −0.583102 | − | 0.812399i | \(-0.698161\pi\) |
0.496755 | + | 0.867891i | \(0.334525\pi\) | |||||||
\(744\) | 3277.64 | + | 7177.04i | 0.161511 | + | 0.353660i | ||||
\(745\) | 6970.14 | + | 8043.97i | 0.342773 | + | 0.395582i | ||||
\(746\) | −18.6578 | − | 11.9907i | −0.000915700 | − | 0.000588485i | ||||
\(747\) | −3102.00 | + | 21574.9i | −0.151936 | + | 1.05674i | ||||
\(748\) | 1638.20 | − | 11393.9i | 0.0800783 | − | 0.556957i | ||||
\(749\) | −9097.26 | − | 5846.45i | −0.443801 | − | 0.285213i | ||||
\(750\) | 1715.56 | + | 1979.86i | 0.0835243 | + | 0.0963922i | ||||
\(751\) | −11424.6 | − | 25016.4i | −0.555113 | − | 1.21553i | −0.954353 | − | 0.298681i | \(-0.903453\pi\) |
0.399240 | − | 0.916847i | \(-0.369274\pi\) | |||||||
\(752\) | 6946.21 | − | 4464.06i | 0.336838 | − | 0.216473i | ||||
\(753\) | 28534.2 | + | 8378.40i | 1.38094 | + | 0.405479i | ||||
\(754\) | −125.751 | + | 145.124i | −0.00607371 | + | 0.00700943i | ||||
\(755\) | −10770.2 | + | 3162.42i | −0.519163 | + | 0.152440i | ||||
\(756\) | 17456.6 | − | 38224.7i | 0.839803 | − | 1.83891i | ||||
\(757\) | −825.894 | − | 5744.22i | −0.0396534 | − | 0.275796i | 0.960342 | − | 0.278825i | \(-0.0899449\pi\) |
−0.999995 | + | 0.00302919i | \(0.999036\pi\) | |||||||
\(758\) | 798.904 | 0.0382817 | ||||||||
\(759\) | −3986.70 | − | 13165.7i | −0.190656 | − | 0.629622i | ||||
\(760\) | 2211.93 | 0.105573 | ||||||||
\(761\) | 680.424 | + | 4732.45i | 0.0324118 | + | 0.225429i | 0.999589 | − | 0.0286748i | \(-0.00912871\pi\) |
−0.967177 | + | 0.254103i | \(0.918220\pi\) | |||||||
\(762\) | 1190.54 | − | 2606.91i | 0.0565992 | − | 0.123935i | ||||
\(763\) | −12337.5 | + | 3622.61i | −0.585383 | + | 0.171884i | ||||
\(764\) | 19569.2 | − | 22584.1i | 0.926688 | − | 1.06946i | ||||
\(765\) | 49970.4 | + | 14672.6i | 2.36168 | + | 0.693451i | ||||
\(766\) | −1061.68 | + | 682.299i | −0.0500783 | + | 0.0321834i | ||||
\(767\) | −526.173 | − | 1152.16i | −0.0247705 | − | 0.0542399i | ||||
\(768\) | 22476.6 | + | 25939.4i | 1.05606 | + | 1.21876i | ||||
\(769\) | −10288.7 | − | 6612.17i | −0.482472 | − | 0.310066i | 0.276699 | − | 0.960957i | \(-0.410759\pi\) |
−0.759172 | + | 0.650890i | \(0.774396\pi\) | |||||||
\(770\) | −102.120 | + | 710.261i | −0.00477942 | + | 0.0332416i | ||||
\(771\) | 8813.01 | − | 61295.8i | 0.411664 | − | 2.86318i | ||||
\(772\) | 4888.97 | + | 3141.95i | 0.227925 | + | 0.146478i | ||||
\(773\) | −18583.1 | − | 21446.0i | −0.864667 | − | 0.997878i | −0.999975 | − | 0.00707485i | \(-0.997748\pi\) |
0.135308 | − | 0.990804i | \(-0.456797\pi\) | |||||||
\(774\) | −537.257 | − | 1176.43i | −0.0249500 | − | 0.0546329i | ||||
\(775\) | 5618.75 | − | 3610.95i | 0.260428 | − | 0.167367i | ||||
\(776\) | −2589.59 | − | 760.374i | −0.119795 | − | 0.0351750i | ||||
\(777\) | −25465.4 | + | 29388.6i | −1.17576 | + | 1.35690i | ||||
\(778\) | −720.270 | + | 211.490i | −0.0331914 | + | 0.00974588i | ||||
\(779\) | 2941.06 | − | 6440.03i | 0.135269 | − | 0.296198i | ||||
\(780\) | 460.580 | + | 3203.41i | 0.0211429 | + | 0.147052i | ||||
\(781\) | −10841.0 | −0.496701 | ||||||||
\(782\) | 1679.66 | − | 1480.42i | 0.0768086 | − | 0.0676976i | ||||
\(783\) | −43918.0 | −2.00447 | ||||||||
\(784\) | −2687.53 | − | 18692.2i | −0.122428 | − | 0.851504i | ||||
\(785\) | −4856.92 | + | 10635.2i | −0.220829 | + | 0.483548i | ||||
\(786\) | −1203.64 | + | 353.422i | −0.0546216 | + | 0.0160383i | ||||
\(787\) | 4391.55 | − | 5068.12i | 0.198910 | − | 0.229554i | −0.647528 | − | 0.762041i | \(-0.724197\pi\) |
0.846438 | + | 0.532488i | \(0.178743\pi\) | |||||||
\(788\) | 15493.0 | + | 4549.17i | 0.700402 | + | 0.205657i | ||||
\(789\) | −58756.2 | + | 37760.3i | −2.65117 | + | 1.70381i | ||||
\(790\) | −372.705 | − | 816.109i | −0.0167851 | − | 0.0367543i | ||||
\(791\) | 20623.0 | + | 23800.2i | 0.927017 | + | 1.06983i | ||||
\(792\) | −1911.83 | − | 1228.66i | −0.0857751 | − | 0.0551243i | ||||
\(793\) | 298.749 | − | 2077.84i | 0.0133782 | − | 0.0930472i | ||||
\(794\) | 249.973 | − | 1738.60i | 0.0111728 | − | 0.0777085i | ||||
\(795\) | 7230.67 | + | 4646.87i | 0.322573 | + | 0.207305i | ||||
\(796\) | 20336.6 | + | 23469.7i | 0.905543 | + | 1.04505i | ||||
\(797\) | 10268.1 | + | 22484.0i | 0.456355 | + | 0.999279i | 0.988303 | + | 0.152502i | \(0.0487330\pi\) |
−0.531948 | + | 0.846777i | \(0.678540\pi\) | |||||||
\(798\) | 2586.48 | − | 1662.23i | 0.114737 | − | 0.0737372i | ||||
\(799\) | 12836.7 | + | 3769.20i | 0.568373 | + | 0.166889i | ||||
\(800\) | −586.939 | + | 677.363i | −0.0259393 | + | 0.0299355i | ||||
\(801\) | 16254.4 | − | 4772.72i | 0.717004 | − | 0.210531i | ||||
\(802\) | −523.680 | + | 1146.70i | −0.0230571 | + | 0.0504880i | ||||
\(803\) | 1825.19 | + | 12694.5i | 0.0802113 | + | 0.557882i | ||||
\(804\) | −24561.9 | −1.07740 | ||||||||
\(805\) | 21116.0 | − | 18611.3i | 0.924524 | − | 0.814858i | ||||
\(806\) | −257.143 | −0.0112376 | ||||||||
\(807\) | −2178.24 | − | 15150.0i | −0.0950159 | − | 0.660850i | ||||
\(808\) | −190.133 | + | 416.332i | −0.00827827 | + | 0.0181269i | ||||
\(809\) | −23214.6 | + | 6816.43i | −1.00888 | + | 0.296234i | −0.744095 | − | 0.668074i | \(-0.767119\pi\) |
−0.264784 | + | 0.964308i | \(0.585301\pi\) | |||||||
\(810\) | 612.746 | − | 707.146i | 0.0265799 | − | 0.0306748i | ||||
\(811\) | 3566.64 | + | 1047.26i | 0.154429 | + | 0.0453443i | 0.358033 | − | 0.933709i | \(-0.383447\pi\) |
−0.203605 | + | 0.979053i | \(0.565266\pi\) | |||||||
\(812\) | −35796.9 | + | 23005.2i | −1.54707 | + | 0.994244i | ||||
\(813\) | −3637.50 | − | 7965.01i | −0.156916 | − | 0.343598i | ||||
\(814\) | 320.628 | + | 370.024i | 0.0138059 | + | 0.0159328i | ||||
\(815\) | 13578.4 | + | 8726.31i | 0.583596 | + | 0.375055i | ||||
\(816\) | −8077.93 | + | 56183.2i | −0.346549 | + | 2.41030i | ||||
\(817\) | −1267.70 | + | 8817.03i | −0.0542853 | + | 0.377563i | ||||
\(818\) | 2080.98 | + | 1337.36i | 0.0889483 | + | 0.0571636i | ||||
\(819\) | 3852.26 | + | 4445.74i | 0.164357 | + | 0.189679i | ||||
\(820\) | −3401.62 | − | 7448.50i | −0.144865 | − | 0.317211i | ||||
\(821\) | 11689.2 | − | 7512.21i | 0.496902 | − | 0.319340i | −0.268074 | − | 0.963398i | \(-0.586387\pi\) |
0.764976 | + | 0.644059i | \(0.222751\pi\) | |||||||
\(822\) | −2658.13 | − | 780.496i | −0.112789 | − | 0.0331179i | ||||
\(823\) | 29717.0 | − | 34295.3i | 1.25865 | − | 1.45256i | 0.420342 | − | 0.907366i | \(-0.361910\pi\) |
0.838309 | − | 0.545195i | \(-0.183544\pi\) | |||||||
\(824\) | −1494.80 | + | 438.914i | −0.0631965 | + | 0.0185562i | ||||
\(825\) | −1225.30 | + | 2683.03i | −0.0517084 | + | 0.113226i | ||||
\(826\) | 198.063 | + | 1377.56i | 0.00834323 | + | 0.0580284i | ||||
\(827\) | −26239.2 | −1.10330 | −0.551648 | − | 0.834077i | \(-0.686001\pi\) | ||||
−0.551648 | + | 0.834077i | \(0.686001\pi\) | |||||||
\(828\) | 12885.8 | + | 42554.0i | 0.540837 | + | 1.78606i | ||||
\(829\) | 24569.3 | 1.02934 | 0.514672 | − | 0.857387i | \(-0.327914\pi\) | ||||
0.514672 | + | 0.857387i | \(0.327914\pi\) | |||||||
\(830\) | 122.529 | + | 852.210i | 0.00512416 | + | 0.0356393i | ||||
\(831\) | −260.317 | + | 570.014i | −0.0108668 | + | 0.0237949i | ||||
\(832\) | −2185.19 | + | 641.629i | −0.0910550 | + | 0.0267362i | ||||
\(833\) | 20037.5 | − | 23124.5i | 0.833443 | − | 0.961845i | ||||
\(834\) | 2006.15 | + | 589.059i | 0.0832941 | + | 0.0244574i | ||||
\(835\) | 11224.1 | − | 7213.28i | 0.465180 | − | 0.298953i | ||||
\(836\) | 3243.13 | + | 7101.46i | 0.134170 | + | 0.293791i | ||||
\(837\) | −38512.8 | − | 44446.1i | −1.59044 | − | 1.83546i | ||||
\(838\) | 1842.88 | + | 1184.35i | 0.0759680 | + | 0.0488217i | ||||
\(839\) | −3303.81 | + | 22978.5i | −0.135948 | + | 0.945538i | 0.801644 | + | 0.597801i | \(0.203959\pi\) |
−0.937592 | + | 0.347737i | \(0.886950\pi\) | |||||||
\(840\) | 1014.66 | − | 7057.09i | 0.0416773 | − | 0.289872i | ||||
\(841\) | 16894.5 | + | 10857.5i | 0.692711 | + | 0.445179i | ||||
\(842\) | 1216.49 | + | 1403.91i | 0.0497899 | + | 0.0574607i | ||||
\(843\) | 15332.7 | + | 33573.9i | 0.626436 | + | 1.37170i | ||||
\(844\) | −4310.05 | + | 2769.90i | −0.175779 | + | 0.112967i | ||||
\(845\) | 21018.8 | + | 6171.68i | 0.855703 | + | 0.251257i | ||||
\(846\) | 862.701 | − | 995.610i | 0.0350594 | − | 0.0404607i | ||||
\(847\) | 27498.8 | − | 8074.37i | 1.11555 | − | 0.327555i | ||||
\(848\) | −2538.10 | + | 5557.66i | −0.102781 | + | 0.225060i | ||||
\(849\) | −7088.83 | − | 49303.9i | −0.286558 | − | 1.99306i | ||||
\(850\) | −480.076 | −0.0193723 | ||||||||
\(851\) | −161.978 | − | 19204.9i | −0.00652473 | − | 0.773601i | ||||
\(852\) | 53724.6 | 2.16030 | ||||||||
\(853\) | −4989.85 | − | 34705.2i | −0.200292 | − | 1.39306i | −0.803417 | − | 0.595416i | \(-0.796987\pi\) |
0.603125 | − | 0.797647i | \(-0.293922\pi\) | |||||||
\(854\) | −958.178 | + | 2098.12i | −0.0383937 | + | 0.0840704i | ||||
\(855\) | −33890.5 | + | 9951.14i | −1.35559 | + | 0.398037i | ||||
\(856\) | 885.915 | − | 1022.40i | 0.0353738 | − | 0.0408235i | ||||
\(857\) | −21687.7 | − | 6368.08i | −0.864455 | − | 0.253827i | −0.180700 | − | 0.983538i | \(-0.557836\pi\) |
−0.683755 | + | 0.729711i | \(0.739654\pi\) | |||||||
\(858\) | 95.5320 | − | 61.3947i | 0.00380118 | − | 0.00244287i | ||||
\(859\) | 11079.1 | + | 24259.8i | 0.440062 | + | 0.963601i | 0.991587 | + | 0.129443i | \(0.0413188\pi\) |
−0.551525 | + | 0.834158i | \(0.685954\pi\) | |||||||
\(860\) | 6746.76 | + | 7786.18i | 0.267515 | + | 0.308728i | ||||
\(861\) | −19197.5 | − | 12337.5i | −0.759872 | − | 0.488340i | ||||
\(862\) | 271.404 | − | 1887.66i | 0.0107240 | − | 0.0745868i | ||||
\(863\) | 3214.06 | − | 22354.2i | 0.126776 | − | 0.881747i | −0.822827 | − | 0.568292i | \(-0.807604\pi\) |
0.949603 | − | 0.313455i | \(-0.101486\pi\) | |||||||
\(864\) | 6639.16 | + | 4266.73i | 0.261422 | + | 0.168006i | ||||
\(865\) | −7473.99 | − | 8625.45i | −0.293784 | − | 0.339045i | ||||
\(866\) | 234.495 | + | 513.473i | 0.00920147 | + | 0.0201484i | ||||
\(867\) | −40952.0 | + | 26318.3i | −1.60416 | + | 1.03093i | ||||
\(868\) | −54673.0 | − | 16053.5i | −2.13793 | − | 0.627753i | ||||
\(869\) | 4157.64 | − | 4798.17i | 0.162299 | − | 0.187303i | ||||
\(870\) | −3565.90 | + | 1047.04i | −0.138960 | + | 0.0408024i | ||||
\(871\) | 666.722 | − | 1459.92i | 0.0259369 | − | 0.0567938i | ||||
\(872\) | −228.926 | − | 1592.21i | −0.00889037 | − | 0.0618338i | ||||
\(873\) | 43097.6 | 1.67083 | ||||||||
\(874\) | −415.501 | + | 1460.52i | −0.0160807 | + | 0.0565251i | ||||
\(875\) | −37932.6 | −1.46555 | ||||||||
\(876\) | −9045.05 | − | 62909.7i | −0.348863 | − | 2.42640i | ||||
\(877\) | −14581.2 | + | 31928.4i | −0.561428 | + | 1.22936i | 0.389810 | + | 0.920895i | \(0.372541\pi\) |
−0.951237 | + | 0.308460i | \(0.900186\pi\) | |||||||
\(878\) | 1295.49 | − | 380.390i | 0.0497957 | − | 0.0146213i | ||||
\(879\) | −52992.9 | + | 61157.1i | −2.03346 | + | 2.34673i | ||||
\(880\) | 8620.55 | + | 2531.22i | 0.330226 | + | 0.0969631i | ||||
\(881\) | 37797.3 | − | 24290.9i | 1.44543 | − | 0.928922i | 0.446005 | − | 0.895030i | \(-0.352846\pi\) |
0.999426 | − | 0.0338914i | \(-0.0107900\pi\) | |||||||
\(882\) | −1251.63 | − | 2740.69i | −0.0477830 | − | 0.104630i | ||||
\(883\) | 10339.9 | + | 11932.9i | 0.394072 | + | 0.454784i | 0.917765 | − | 0.397123i | \(-0.129991\pi\) |
−0.523693 | + | 0.851907i | \(0.675446\pi\) | |||||||
\(884\) | −3135.79 | − | 2015.25i | −0.119308 | − | 0.0766745i | ||||
\(885\) | 3488.69 | − | 24264.4i | 0.132510 | − | 0.921625i | ||||
\(886\) | −204.670 | + | 1423.51i | −0.00776076 | + | 0.0539772i | ||||
\(887\) | −8123.03 | − | 5220.36i | −0.307491 | − | 0.197613i | 0.377790 | − | 0.925891i | \(-0.376684\pi\) |
−0.685281 | + | 0.728279i | \(0.740321\pi\) | |||||||
\(888\) | −3185.73 | − | 3676.53i | −0.120390 | − | 0.138937i | ||||
\(889\) | 17238.5 | + | 37747.1i | 0.650350 | + | 1.42407i | ||||
\(890\) | 562.929 | − | 361.772i | 0.0212016 | − | 0.0136254i | ||||
\(891\) | 6353.14 | + | 1865.45i | 0.238876 | + | 0.0701402i | ||||
\(892\) | 147.100 | − | 169.763i | 0.00552161 | − | 0.00637228i | ||||
\(893\) | −8705.99 | + | 2556.31i | −0.326243 | + | 0.0957935i | ||||
\(894\) | −768.854 | + | 1683.56i | −0.0287632 | + | 0.0629827i | ||||
\(895\) | −5740.86 | − | 39928.5i | −0.214409 | − | 1.49124i | ||||
\(896\) | 10186.8 | 0.379818 | ||||||||
\(897\) | −4414.32 | − | 596.729i | −0.164314 | − | 0.0222120i | ||||
\(898\) | −2857.63 | −0.106192 | ||||||||
\(899\) | 8475.12 | + | 58945.8i | 0.314417 | + | 2.18682i | ||||
\(900\) | 3960.41 | − | 8672.09i | 0.146682 | − | 0.321189i | ||||
\(901\) | −9498.57 | + | 2789.03i | −0.351213 | + | 0.103126i | ||||
\(902\) | −188.156 | + | 217.144i | −0.00694559 | + | 0.00801564i | ||||
\(903\) | 27548.9 | + | 8089.07i | 1.01525 | + | 0.298104i | ||||
\(904\) | −3314.28 | + | 2129.96i | −0.121937 | + | 0.0783644i | ||||
\(905\) | 11673.4 | + | 25561.2i | 0.428771 | + | 0.938878i | ||||
\(906\) | −1278.21 | − | 1475.13i | −0.0468714 | − | 0.0540925i | ||||
\(907\) | −17459.8 | − | 11220.7i | −0.639188 | − | 0.410781i | 0.180513 | − | 0.983573i | \(-0.442224\pi\) |
−0.819701 | + | 0.572792i | \(0.805860\pi\) | |||||||
\(908\) | 7698.44 | − | 53543.8i | 0.281367 | − | 1.95695i | ||||
\(909\) | 1040.13 | − | 7234.27i | 0.0379527 | − | 0.263967i | ||||
\(910\) | 195.475 | + | 125.624i | 0.00712080 | + | 0.00457626i | ||||
\(911\) | −20082.5 | − | 23176.5i | −0.730367 | − | 0.842889i | 0.262146 | − | 0.965028i | \(-0.415570\pi\) |
−0.992513 | + | 0.122140i | \(0.961024\pi\) | |||||||
\(912\) | −15991.8 | − | 35017.1i | −0.580637 | − | 1.27142i | ||||
\(913\) | −5125.45 | + | 3293.93i | −0.185791 | + | 0.119401i | ||||
\(914\) | 1419.58 | + | 416.827i | 0.0513738 | + | 0.0150847i | ||||
\(915\) | 26605.5 | − | 30704.4i | 0.961257 | − | 1.10935i | ||||
\(916\) | 2148.17 | − | 630.761i | 0.0774866 | − | 0.0227521i | ||||
\(917\) | 7545.63 | − | 16522.6i | 0.271733 | − | 0.595011i | ||||
\(918\) | 601.593 | + | 4184.17i | 0.0216291 | + | 0.150434i | ||||
\(919\) | −25701.9 | −0.922555 | −0.461277 | − | 0.887256i | \(-0.652609\pi\) | ||||
−0.461277 | + | 0.887256i | \(0.652609\pi\) | |||||||
\(920\) | 1928.64 | + | 2946.09i | 0.0691144 | + | 0.105576i | ||||
\(921\) | 31597.6 | 1.13048 | ||||||||
\(922\) | −298.673 | − | 2077.32i | −0.0106684 | − | 0.0742004i | ||||
\(923\) | −1458.33 | + | 3193.30i | −0.0520061 | + | 0.113877i | ||||
\(924\) | 24144.6 | − | 7089.49i | 0.859631 | − | 0.252410i | ||||
\(925\) | −2696.76 | + | 3112.23i | −0.0958583 | + | 0.110626i | ||||
\(926\) | −227.226 | − | 66.7196i | −0.00806383 | − | 0.00236775i | ||||
\(927\) | 20928.2 | − | 13449.8i | 0.741503 | − | 0.476535i | ||||
\(928\) | −3319.77 | − | 7269.29i | −0.117432 | − | 0.257140i | ||||
\(929\) | −31354.9 | − | 36185.5i | −1.10734 | − | 1.27794i | −0.957248 | − | 0.289268i | \(-0.906588\pi\) |
−0.150093 | − | 0.988672i | \(-0.547957\pi\) | |||||||
\(930\) | −4186.66 | − | 2690.60i | −0.147619 | − | 0.0948693i | ||||
\(931\) | −2953.31 | + | 20540.7i | −0.103964 | + | 0.723089i | ||||
\(932\) | −2250.39 | + | 15651.8i | −0.0790923 | + | 0.550099i | ||||
\(933\) | 35312.0 | + | 22693.6i | 1.23908 | + | 0.796308i | ||||
\(934\) | −2453.71 | − | 2831.73i | −0.0859611 | − | 0.0992045i | ||||
\(935\) | 6047.36 | + | 13241.9i | 0.211519 | + | 0.463161i | ||||
\(936\) | −619.088 | + | 397.864i | −0.0216191 | + | 0.0138938i | ||||
\(937\) | −29358.4 | − | 8620.40i | −1.02358 | − | 0.300551i | −0.273484 | − | 0.961877i | \(-0.588176\pi\) |
−0.750099 | + | 0.661326i | \(0.769994\pi\) | |||||||
\(938\) | −1154.83 | + | 1332.75i | −0.0401990 | + | 0.0463921i | ||||
\(939\) | 28189.8 | − | 8277.28i | 0.979701 | − | 0.287666i | ||||
\(940\) | −4359.53 | + | 9546.04i | −0.151268 | + | 0.331231i | ||||
\(941\) | 2682.59 | + | 18657.8i | 0.0929331 | + | 0.646364i | 0.982041 | + | 0.188666i | \(0.0604165\pi\) |
−0.889108 | + | 0.457697i | \(0.848674\pi\) | |||||||
\(942\) | −2033.05 | −0.0703188 | ||||||||
\(943\) | 11141.9 | − | 1697.99i | 0.384761 | − | 0.0586366i | ||||
\(944\) | 17425.6 | 0.600798 | ||||||||
\(945\) | 7563.01 | + | 52601.9i | 0.260344 | + | 1.81073i | ||||
\(946\) | 150.174 | − | 328.836i | 0.00516129 | − | 0.0113017i | ||||
\(947\) | −5824.75 | + | 1710.30i | −0.199872 | + | 0.0586878i | −0.380136 | − | 0.924930i | \(-0.624123\pi\) |
0.180264 | + | 0.983618i | \(0.442305\pi\) | |||||||
\(948\) | −20603.9 | + | 23778.1i | −0.705889 | + | 0.814639i | ||||
\(949\) | 3984.77 | + | 1170.03i | 0.136303 | + | 0.0400221i | ||||
\(950\) | 273.906 | − | 176.029i | 0.00935441 | − | 0.00601171i | ||||
\(951\) | 16422.3 | + | 35959.8i | 0.559967 | + | 1.22616i | ||||
\(952\) | 5377.53 | + | 6206.00i | 0.183074 | + | 0.211279i | ||||
\(953\) | 22046.5 | + | 14168.4i | 0.749378 | + | 0.481596i | 0.858744 | − | 0.512406i | \(-0.171246\pi\) |
−0.109365 | + | 0.994002i | \(0.534882\pi\) | |||||||
\(954\) | −138.729 | + | 964.879i | −0.00470808 | + | 0.0327454i | ||||
\(955\) | −5378.26 | + | 37406.6i | −0.182237 | + | 1.26749i | ||||
\(956\) | −32938.8 | − | 21168.5i | −1.11435 | − | 0.716147i | ||||
\(957\) | −17222.3 | − | 19875.6i | −0.581733 | − | 0.671356i | ||||
\(958\) | −332.123 | − | 727.247i | −0.0112008 | − | 0.0245264i | ||||
\(959\) | 33745.7 | − | 21687.0i | 1.13629 | − | 0.730251i | ||||
\(960\) | −42291.7 | − | 12418.0i | −1.42183 | − | 0.417487i | ||||
\(961\) | −32713.6 | + | 37753.5i | −1.09810 | + | 1.26728i | ||||
\(962\) | 152.124 | − | 44.6676i | 0.00509841 | − | 0.00149703i | ||||
\(963\) | −8974.05 | + | 19650.4i | −0.300296 | + | 0.657556i | ||||
\(964\) | 5416.89 | + | 37675.3i | 0.180982 | + | 1.25875i | ||||
\(965\) | −7349.49 | −0.245169 | ||||||||
\(966\) | 4469.14 | + | 1995.61i | 0.148853 | + | 0.0664676i | ||||
\(967\) | −42074.3 | −1.39919 | −0.699595 | − | 0.714539i | \(-0.746636\pi\) | ||||
−0.699595 | + | 0.714539i | \(0.746636\pi\) | |||||||
\(968\) | 510.248 | + | 3548.85i | 0.0169421 | + | 0.117835i | ||||
\(969\) | 25911.2 | − | 56737.6i | 0.859017 | − | 1.88098i | ||||
\(970\) | 1633.40 | − | 479.610i | 0.0540674 | − | 0.0158756i | ||||
\(971\) | 10756.7 | − | 12413.9i | 0.355508 | − | 0.410278i | −0.549622 | − | 0.835414i | \(-0.685228\pi\) |
0.905130 | + | 0.425136i | \(0.139774\pi\) | |||||||
\(972\) | 11464.5 | + | 3366.28i | 0.378317 | + | 0.111084i | ||||
\(973\) | −25468.6 | + | 16367.7i | −0.839143 | + | 0.539285i | ||||
\(974\) | 1232.90 | + | 2699.67i | 0.0405591 | + | 0.0888120i | ||||
\(975\) | 625.478 | + | 721.841i | 0.0205450 | + | 0.0237102i | ||||
\(976\) | 24295.4 | + | 15613.7i | 0.796799 | + | 0.512072i | ||||
\(977\) | 2486.26 | − | 17292.3i | 0.0814150 | − | 0.566254i | −0.907757 | − | 0.419496i | \(-0.862207\pi\) |
0.989172 | − | 0.146758i | \(-0.0468840\pi\) | |||||||
\(978\) | −399.431 | + | 2778.10i | −0.0130597 | + | 0.0908322i | ||||
\(979\) | 3983.53 | + | 2560.06i | 0.130045 | + | 0.0835750i | ||||
\(980\) | 15717.7 | + | 18139.2i | 0.512330 | + | 0.591261i | ||||
\(981\) | 10670.6 | + | 23365.4i | 0.347285 | + | 0.760449i | ||||
\(982\) | −2605.57 | + | 1674.50i | −0.0846713 | + | 0.0544149i | ||||
\(983\) | 16710.1 | + | 4906.53i | 0.542187 | + | 0.159200i | 0.541347 | − | 0.840799i | \(-0.317915\pi\) |
0.000839647 | 1.00000i | \(0.499733\pi\) | ||||||||
\(984\) | 1869.50 | − | 2157.52i | 0.0605667 | − | 0.0698977i | ||||
\(985\) | −19593.1 | + | 5753.06i | −0.633796 | + | 0.186099i | ||||
\(986\) | 1778.18 | − | 3893.66i | 0.0574327 | − | 0.125760i | ||||
\(987\) | 4162.20 | + | 28948.7i | 0.134229 | + | 0.933585i | ||||
\(988\) | 2528.05 | 0.0814047 | ||||||||
\(989\) | −12848.8 | + | 5999.32i | −0.413112 | + | 0.192889i | ||||
\(990\) | 1433.45 | 0.0460183 | ||||||||
\(991\) | −1496.28 | − | 10406.9i | −0.0479627 | − | 0.333588i | −0.999648 | − | 0.0265143i | \(-0.991559\pi\) |
0.951686 | − | 0.307074i | \(-0.0993498\pi\) | |||||||
\(992\) | 4445.51 | − | 9734.31i | 0.142283 | − | 0.311557i | ||||
\(993\) | −3800.99 | + | 1116.07i | −0.121471 | + | 0.0356671i | ||||
\(994\) | 2525.99 | − | 2915.15i | 0.0806031 | − | 0.0930210i | ||||
\(995\) | −37682.4 | − | 11064.5i | −1.20061 | − | 0.352532i | ||||
\(996\) | 25400.0 | − | 16323.6i | 0.808063 | − | 0.519311i | ||||
\(997\) | −21647.6 | − | 47401.6i | −0.687649 | − | 1.50574i | −0.854331 | − | 0.519730i | \(-0.826033\pi\) |
0.166682 | − | 0.986011i | \(-0.446695\pi\) | |||||||
\(998\) | −526.744 | − | 607.895i | −0.0167072 | − | 0.0192811i | ||||
\(999\) | 30504.4 | + | 19604.0i | 0.966083 | + | 0.620864i |
(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 | 23.4.c.a.3.3 | ✓ | 50 | |
3.2 | odd | 2 | 207.4.i.a.118.3 | 50 | |||
23.8 | even | 11 | inner | 23.4.c.a.8.3 | yes | 50 | |
23.10 | odd | 22 | 529.4.a.m.1.13 | 25 | |||
23.13 | even | 11 | 529.4.a.n.1.13 | 25 | |||
69.8 | odd | 22 | 207.4.i.a.100.3 | 50 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
23.4.c.a.3.3 | ✓ | 50 | 1.1 | even | 1 | trivial | |
23.4.c.a.8.3 | yes | 50 | 23.8 | even | 11 | inner | |
207.4.i.a.100.3 | 50 | 69.8 | odd | 22 | |||
207.4.i.a.118.3 | 50 | 3.2 | odd | 2 | |||
529.4.a.m.1.13 | 25 | 23.10 | odd | 22 | |||
529.4.a.n.1.13 | 25 | 23.13 | even | 11 |