Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [169,4,Mod(3,169)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(169, base_ring=CyclotomicField(78))
chi = DirichletCharacter(H, H._module([62]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("169.3");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 169 = 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 169.i (of order \(39\), 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: | \(9.97132279097\) |
Analytic rank: | \(0\) |
Dimension: | \(1080\) |
Relative dimension: | \(45\) over \(\Q(\zeta_{39})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{39}]$ |
Embedding invariants
Embedding label | 3.3 | ||
Character | \(\chi\) | \(=\) | 169.3 |
Dual form | 169.4.i.a.113.3 |
$q$-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 \(\left(\mathbb{Z}/169\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{31}{39}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.12652 | + | 3.10088i | −1.45894 | + | 1.09632i | −0.483689 | + | 0.875240i | \(0.660703\pi\) |
−0.975255 | + | 0.221085i | \(0.929040\pi\) | |||||||
\(3\) | 0.990669 | − | 4.85262i | 0.190654 | − | 0.933887i | −0.766040 | − | 0.642793i | \(-0.777776\pi\) |
0.956695 | − | 0.291094i | \(-0.0940192\pi\) | |||||||
\(4\) | 5.18696 | − | 17.9075i | 0.648370 | − | 2.23843i | ||||
\(5\) | −10.2304 | − | 5.36931i | −0.915032 | − | 0.480246i | −0.0596362 | − | 0.998220i | \(-0.518994\pi\) |
−0.855396 | + | 0.517974i | \(0.826686\pi\) | |||||||
\(6\) | 10.9593 | + | 23.0963i | 0.745689 | + | 1.57151i | ||||
\(7\) | 3.16043 | + | 0.513619i | 0.170647 | + | 0.0277328i | 0.245134 | − | 0.969489i | \(-0.421168\pi\) |
−0.0744874 | + | 0.997222i | \(0.523732\pi\) | |||||||
\(8\) | 19.4817 | + | 51.3691i | 0.860979 | + | 2.27022i | ||||
\(9\) | 2.27298 | + | 0.968427i | 0.0841845 | + | 0.0358677i | ||||
\(10\) | 58.8654 | − | 9.56655i | 1.86149 | − | 0.302521i | ||||
\(11\) | 48.7066 | − | 20.7519i | 1.33505 | − | 0.568813i | 0.397804 | − | 0.917471i | \(-0.369773\pi\) |
0.937250 | + | 0.348657i | \(0.113362\pi\) | |||||||
\(12\) | −81.7596 | − | 42.9107i | −1.96683 | − | 1.03227i | ||||
\(13\) | 44.2568 | + | 15.4382i | 0.944201 | + | 0.329369i | ||||
\(14\) | −14.6342 | + | 7.68063i | −0.279368 | + | 0.146624i | ||||
\(15\) | −36.1901 | + | 44.3249i | −0.622950 | + | 0.762976i | ||||
\(16\) | −113.622 | − | 71.8503i | −1.77535 | − | 1.12266i | ||||
\(17\) | −131.903 | − | 21.4363i | −1.88183 | − | 0.305827i | −0.892447 | − | 0.451153i | \(-0.851013\pi\) |
−0.989384 | + | 0.145326i | \(0.953577\pi\) | |||||||
\(18\) | −12.3825 | + | 3.05200i | −0.162143 | + | 0.0399647i | ||||
\(19\) | 21.3442 | − | 36.9692i | 0.257720 | − | 0.446385i | −0.707910 | − | 0.706302i | \(-0.750362\pi\) |
0.965631 | + | 0.259917i | \(0.0836953\pi\) | |||||||
\(20\) | −149.215 | + | 155.350i | −1.66828 | + | 1.73686i | ||||
\(21\) | 5.62333 | − | 14.8275i | 0.0584339 | − | 0.154077i | ||||
\(22\) | −136.639 | + | 236.666i | −1.32416 | + | 2.29352i | ||||
\(23\) | −84.9508 | − | 147.139i | −0.770151 | − | 1.33394i | −0.937480 | − | 0.348039i | \(-0.886848\pi\) |
0.167329 | − | 0.985901i | \(-0.446486\pi\) | |||||||
\(24\) | 268.575 | − | 43.6476i | 2.28427 | − | 0.371231i | ||||
\(25\) | 4.82292 | + | 6.98721i | 0.0385834 | + | 0.0558977i | ||||
\(26\) | −230.498 | + | 73.5286i | −1.73863 | + | 0.554621i | ||||
\(27\) | 82.9146 | − | 120.122i | 0.590997 | − | 0.856207i | ||||
\(28\) | 25.5906 | − | 53.9311i | 0.172721 | − | 0.364001i | ||||
\(29\) | −73.7311 | + | 55.4053i | −0.472121 | + | 0.354776i | −0.810016 | − | 0.586408i | \(-0.800542\pi\) |
0.337895 | + | 0.941184i | \(0.390285\pi\) | |||||||
\(30\) | 11.8933 | − | 295.128i | 0.0723801 | − | 1.79609i | ||||
\(31\) | 16.2008 | − | 23.4709i | 0.0938628 | − | 0.135984i | −0.773239 | − | 0.634115i | \(-0.781365\pi\) |
0.867102 | + | 0.498131i | \(0.165980\pi\) | |||||||
\(32\) | 253.573 | − | 20.4705i | 1.40081 | − | 0.113085i | ||||
\(33\) | −52.4491 | − | 256.913i | −0.276673 | − | 1.35524i | ||||
\(34\) | 610.770 | − | 320.557i | 3.08077 | − | 1.61691i | ||||
\(35\) | −29.5745 | − | 22.2238i | −0.142829 | − | 0.107329i | ||||
\(36\) | 29.1319 | − | 35.6802i | 0.134870 | − | 0.165186i | ||||
\(37\) | 84.8707 | + | 6.85147i | 0.377099 | + | 0.0304426i | 0.267563 | − | 0.963540i | \(-0.413782\pi\) |
0.109536 | + | 0.993983i | \(0.465064\pi\) | |||||||
\(38\) | 26.5598 | + | 218.740i | 0.113383 | + | 0.933796i | ||||
\(39\) | 118.760 | − | 199.467i | 0.487609 | − | 0.818981i | ||||
\(40\) | 76.5115 | − | 630.129i | 0.302438 | − | 2.49080i | ||||
\(41\) | −71.2820 | + | 349.162i | −0.271521 | + | 1.33000i | 0.583798 | + | 0.811899i | \(0.301566\pi\) |
−0.855319 | + | 0.518101i | \(0.826639\pi\) | |||||||
\(42\) | 22.7735 | + | 78.6232i | 0.0836672 | + | 0.288853i | ||||
\(43\) | −122.672 | + | 9.90313i | −0.435055 | + | 0.0351212i | −0.296054 | − | 0.955171i | \(-0.595671\pi\) |
−0.139000 | + | 0.990292i | \(0.544389\pi\) | |||||||
\(44\) | −118.976 | − | 979.852i | −0.407642 | − | 3.35723i | ||||
\(45\) | −18.0537 | − | 22.1117i | −0.0598062 | − | 0.0732493i | ||||
\(46\) | 806.811 | + | 343.750i | 2.58604 | + | 1.10181i | ||||
\(47\) | −462.459 | − | 113.986i | −1.43525 | − | 0.353756i | −0.556421 | − | 0.830901i | \(-0.687826\pi\) |
−0.878825 | + | 0.477144i | \(0.841672\pi\) | |||||||
\(48\) | −461.224 | + | 480.185i | −1.38691 | + | 1.44393i | ||||
\(49\) | −315.624 | − | 105.371i | −0.920185 | − | 0.307203i | ||||
\(50\) | −41.5683 | − | 13.8775i | −0.117573 | − | 0.0392516i | ||||
\(51\) | −234.694 | + | 618.837i | −0.644387 | + | 1.69911i | ||||
\(52\) | 506.018 | − | 712.449i | 1.34946 | − | 1.89998i | ||||
\(53\) | 51.6693 | + | 136.241i | 0.133912 | + | 0.353096i | 0.985153 | − | 0.171678i | \(-0.0549189\pi\) |
−0.851241 | + | 0.524774i | \(0.824150\pi\) | |||||||
\(54\) | 30.3366 | + | 752.795i | 0.0764498 | + | 1.89708i | ||||
\(55\) | −609.710 | − | 49.2209i | −1.49479 | − | 0.120672i | ||||
\(56\) | 35.1864 | + | 172.354i | 0.0839640 | + | 0.411283i | ||||
\(57\) | −158.252 | − | 140.199i | −0.367737 | − | 0.325787i | ||||
\(58\) | 132.448 | − | 457.262i | 0.299849 | − | 1.03520i | ||||
\(59\) | 355.452 | − | 224.774i | 0.784338 | − | 0.495985i | −0.0812794 | − | 0.996691i | \(-0.525901\pi\) |
0.865617 | + | 0.500706i | \(0.166926\pi\) | |||||||
\(60\) | 606.030 | + | 877.985i | 1.30397 | + | 1.88912i | ||||
\(61\) | −150.996 | − | 184.936i | −0.316935 | − | 0.388175i | 0.591428 | − | 0.806358i | \(-0.298564\pi\) |
−0.908363 | + | 0.418183i | \(0.862667\pi\) | |||||||
\(62\) | 5.92751 | + | 147.090i | 0.0121418 | + | 0.301297i | ||||
\(63\) | 6.68618 | + | 4.22809i | 0.0133711 | + | 0.00845538i | ||||
\(64\) | −177.896 | + | 157.602i | −0.347453 | + | 0.307816i | ||||
\(65\) | −369.870 | − | 395.567i | −0.705797 | − | 0.754832i | ||||
\(66\) | 1013.09 | + | 897.516i | 1.88943 | + | 1.67389i | ||||
\(67\) | −172.336 | − | 594.973i | −0.314242 | − | 1.08489i | −0.949806 | − | 0.312840i | \(-0.898720\pi\) |
0.635564 | − | 0.772048i | \(-0.280768\pi\) | |||||||
\(68\) | −1068.04 | + | 2250.86i | −1.90470 | + | 4.01406i | ||||
\(69\) | −798.168 | + | 266.468i | −1.39258 | + | 0.464912i | ||||
\(70\) | 190.953 | 0.326047 | ||||||||
\(71\) | −104.996 | + | 35.0528i | −0.175503 | + | 0.0585916i | −0.403062 | − | 0.915173i | \(-0.632054\pi\) |
0.227558 | + | 0.973764i | \(0.426926\pi\) | |||||||
\(72\) | −5.46561 | + | 135.628i | −0.00894622 | + | 0.221998i | ||||
\(73\) | −114.610 | + | 943.902i | −0.183755 | + | 1.51336i | 0.550700 | + | 0.834703i | \(0.314361\pi\) |
−0.734455 | + | 0.678657i | \(0.762562\pi\) | |||||||
\(74\) | −371.466 | + | 234.901i | −0.583541 | + | 0.369009i | ||||
\(75\) | 38.6842 | − | 16.4818i | 0.0595582 | − | 0.0253754i | ||||
\(76\) | −551.313 | − | 573.978i | −0.832105 | − | 0.866313i | ||||
\(77\) | 164.592 | − | 40.5683i | 0.243598 | − | 0.0600414i | ||||
\(78\) | 128.458 | + | 1191.36i | 0.186475 | + | 1.72943i | ||||
\(79\) | 690.754 | + | 170.256i | 0.983746 | + | 0.242472i | 0.698207 | − | 0.715895i | \(-0.253981\pi\) |
0.285539 | + | 0.958367i | \(0.407827\pi\) | |||||||
\(80\) | 776.610 | + | 1345.13i | 1.08535 | + | 1.87987i | ||||
\(81\) | −454.557 | − | 473.244i | −0.623535 | − | 0.649168i | ||||
\(82\) | −788.563 | − | 1661.86i | −1.06198 | − | 2.23807i | ||||
\(83\) | 419.343 | − | 371.505i | 0.554564 | − | 0.491301i | −0.338662 | − | 0.940908i | \(-0.609974\pi\) |
0.893227 | + | 0.449607i | \(0.148436\pi\) | |||||||
\(84\) | −236.355 | − | 177.609i | −0.307006 | − | 0.230700i | ||||
\(85\) | 1234.32 | + | 927.529i | 1.57506 | + | 1.18358i | ||||
\(86\) | 475.501 | − | 421.257i | 0.596216 | − | 0.528201i | ||||
\(87\) | 195.818 | + | 412.677i | 0.241309 | + | 0.508548i | ||||
\(88\) | 2014.90 | + | 2097.73i | 2.44078 | + | 2.54112i | ||||
\(89\) | −204.925 | − | 354.941i | −0.244068 | − | 0.422738i | 0.717801 | − | 0.696248i | \(-0.245149\pi\) |
−0.961869 | + | 0.273510i | \(0.911815\pi\) | |||||||
\(90\) | 143.064 | + | 35.2622i | 0.167559 | + | 0.0412996i | ||||
\(91\) | 131.941 | + | 71.5225i | 0.151991 | + | 0.0823912i | ||||
\(92\) | −3075.53 | + | 758.049i | −3.48528 | + | 0.859045i | ||||
\(93\) | −97.8457 | − | 101.868i | −0.109098 | − | 0.113583i | ||||
\(94\) | 2261.80 | − | 963.663i | 2.48177 | − | 1.05739i | ||||
\(95\) | −416.858 | + | 263.605i | −0.450197 | + | 0.284687i | ||||
\(96\) | 151.871 | − | 1250.77i | 0.161461 | − | 1.32975i | ||||
\(97\) | 30.3636 | − | 753.466i | 0.0317831 | − | 0.788689i | −0.902188 | − | 0.431342i | \(-0.858040\pi\) |
0.933972 | − | 0.357347i | \(-0.116319\pi\) | |||||||
\(98\) | 1629.17 | − | 543.896i | 1.67929 | − | 0.560630i | ||||
\(99\) | 130.806 | 0.132793 | ||||||||
\(100\) | 150.140 | − | 50.1240i | 0.150140 | − | 0.0501240i | ||||
\(101\) | −686.862 | + | 1447.53i | −0.676686 | + | 1.42609i | 0.216448 | + | 0.976294i | \(0.430553\pi\) |
−0.893134 | + | 0.449791i | \(0.851498\pi\) | |||||||
\(102\) | −950.469 | − | 3281.40i | −0.922651 | − | 3.18536i | ||||
\(103\) | −1217.50 | − | 1078.61i | −1.16470 | − | 1.03183i | −0.998957 | − | 0.0456646i | \(-0.985459\pi\) |
−0.165743 | − | 0.986169i | \(-0.553002\pi\) | |||||||
\(104\) | 69.1498 | + | 2574.19i | 0.0651990 | + | 2.42712i | ||||
\(105\) | −137.142 | + | 121.497i | −0.127464 | + | 0.112923i | ||||
\(106\) | −635.679 | − | 401.979i | −0.582478 | − | 0.368337i | ||||
\(107\) | −8.07118 | − | 200.284i | −0.00729225 | − | 0.180955i | −0.998730 | − | 0.0503771i | \(-0.983958\pi\) |
0.991438 | − | 0.130578i | \(-0.0416834\pi\) | |||||||
\(108\) | −1721.02 | − | 2107.86i | −1.53338 | − | 1.87805i | ||||
\(109\) | −584.590 | − | 846.925i | −0.513703 | − | 0.744227i | 0.477202 | − | 0.878794i | \(-0.341651\pi\) |
−0.990905 | + | 0.134567i | \(0.957036\pi\) | |||||||
\(110\) | 2668.61 | − | 1687.53i | 2.31311 | − | 1.46272i | ||||
\(111\) | 117.326 | − | 405.057i | 0.100325 | − | 0.346363i | ||||
\(112\) | −322.191 | − | 285.436i | −0.271823 | − | 0.240814i | ||||
\(113\) | −385.000 | − | 1885.86i | −0.320511 | − | 1.56997i | −0.746592 | − | 0.665282i | \(-0.768311\pi\) |
0.426081 | − | 0.904685i | \(-0.359894\pi\) | |||||||
\(114\) | 1087.77 | + | 87.8140i | 0.893676 | + | 0.0721450i | ||||
\(115\) | 79.0424 | + | 1961.42i | 0.0640934 | + | 1.59046i | ||||
\(116\) | 609.729 | + | 1607.72i | 0.488034 | + | 1.28684i | ||||
\(117\) | 85.6440 | + | 77.9502i | 0.0676734 | + | 0.0615940i | ||||
\(118\) | −769.782 | + | 2029.75i | −0.600544 | + | 1.58350i | ||||
\(119\) | −405.859 | − | 135.496i | −0.312647 | − | 0.104377i | ||||
\(120\) | −2981.98 | − | 995.530i | −2.26847 | − | 0.757325i | ||||
\(121\) | 1019.67 | − | 1061.59i | 0.766096 | − | 0.797590i | ||||
\(122\) | 1196.55 | + | 294.923i | 0.887956 | + | 0.218862i | ||||
\(123\) | 1623.73 | + | 691.809i | 1.19030 | + | 0.507141i | ||||
\(124\) | −336.272 | − | 411.858i | −0.243533 | − | 0.298274i | ||||
\(125\) | 162.258 | + | 1336.32i | 0.116103 | + | 0.956190i | ||||
\(126\) | −40.7014 | + | 3.28576i | −0.0287775 | + | 0.00232316i | ||||
\(127\) | 255.188 | + | 881.013i | 0.178302 | + | 0.615569i | 0.999021 | + | 0.0442372i | \(0.0140857\pi\) |
−0.820719 | + | 0.571331i | \(0.806427\pi\) | |||||||
\(128\) | −161.703 | + | 792.076i | −0.111662 | + | 0.546955i | ||||
\(129\) | −73.4715 | + | 605.092i | −0.0501458 | + | 0.412988i | ||||
\(130\) | 2752.88 | + | 485.393i | 1.85726 | + | 0.327475i | ||||
\(131\) | −98.8959 | − | 814.481i | −0.0659586 | − | 0.543218i | −0.987809 | − | 0.155672i | \(-0.950246\pi\) |
0.921850 | − | 0.387546i | \(-0.126677\pi\) | |||||||
\(132\) | −4872.71 | − | 393.366i | −3.21299 | − | 0.259380i | ||||
\(133\) | 86.4447 | − | 105.876i | 0.0563587 | − | 0.0690269i | ||||
\(134\) | 2556.08 | + | 1920.77i | 1.64785 | + | 1.23828i | ||||
\(135\) | −1493.22 | + | 783.704i | −0.951971 | + | 0.499633i | ||||
\(136\) | −1468.53 | − | 7193.34i | −0.925923 | − | 4.53547i | ||||
\(137\) | −371.702 | + | 30.0069i | −0.231800 | + | 0.0187129i | −0.195821 | − | 0.980640i | \(-0.562737\pi\) |
−0.0359795 | + | 0.999353i | \(0.511455\pi\) | |||||||
\(138\) | 2467.37 | − | 3574.60i | 1.52200 | − | 2.20500i | ||||
\(139\) | 38.3357 | − | 951.290i | 0.0233927 | − | 0.580484i | −0.944409 | − | 0.328772i | \(-0.893365\pi\) |
0.967802 | − | 0.251713i | \(-0.0809937\pi\) | |||||||
\(140\) | −551.375 | + | 414.331i | −0.332855 | + | 0.250124i | ||||
\(141\) | −1011.27 | + | 2131.21i | −0.604004 | + | 1.27291i | ||||
\(142\) | 324.573 | − | 470.225i | 0.191814 | − | 0.277890i | ||||
\(143\) | 2475.97 | − | 166.470i | 1.44791 | − | 0.0973489i | ||||
\(144\) | −188.679 | − | 273.349i | −0.109189 | − | 0.158188i | ||||
\(145\) | 1051.79 | − | 170.932i | 0.602386 | − | 0.0978973i | ||||
\(146\) | −2453.98 | − | 4250.42i | −1.39105 | − | 2.40936i | ||||
\(147\) | −824.002 | + | 1427.21i | −0.462330 | + | 0.800779i | ||||
\(148\) | 562.914 | − | 1484.28i | 0.312643 | − | 0.824373i | ||||
\(149\) | 808.729 | − | 841.976i | 0.444655 | − | 0.462935i | −0.460721 | − | 0.887545i | \(-0.652409\pi\) |
0.905376 | + | 0.424610i | \(0.139589\pi\) | |||||||
\(150\) | −108.523 | + | 187.967i | −0.0590724 | + | 0.102316i | ||||
\(151\) | 1689.34 | − | 416.386i | 0.910442 | − | 0.224404i | 0.243838 | − | 0.969816i | \(-0.421593\pi\) |
0.666604 | + | 0.745412i | \(0.267747\pi\) | |||||||
\(152\) | 2314.90 | + | 376.207i | 1.23528 | + | 0.200753i | ||||
\(153\) | −279.053 | − | 176.462i | −0.147452 | − | 0.0932428i | ||||
\(154\) | −553.395 | + | 677.786i | −0.289570 | + | 0.354659i | ||||
\(155\) | −291.763 | + | 153.129i | −0.151193 | + | 0.0793523i | ||||
\(156\) | −2955.95 | − | 3161.31i | −1.51708 | − | 1.62248i | ||||
\(157\) | 1073.33 | + | 563.326i | 0.545610 | + | 0.286358i | 0.714922 | − | 0.699204i | \(-0.246462\pi\) |
−0.169312 | + | 0.985563i | \(0.554154\pi\) | |||||||
\(158\) | −3378.35 | + | 1439.38i | −1.70106 | + | 0.724753i | ||||
\(159\) | 712.311 | − | 115.762i | 0.355283 | − | 0.0577390i | ||||
\(160\) | −2704.06 | − | 1152.09i | −1.33609 | − | 0.569256i | ||||
\(161\) | −192.907 | − | 508.655i | −0.0944299 | − | 0.248991i | ||||
\(162\) | 3343.21 | + | 543.324i | 1.62140 | + | 0.263503i | ||||
\(163\) | 1072.49 | + | 2260.22i | 0.515360 | + | 1.08610i | 0.979705 | + | 0.200444i | \(0.0642386\pi\) |
−0.464345 | + | 0.885655i | \(0.653710\pi\) | |||||||
\(164\) | 5882.88 | + | 3087.57i | 2.80107 | + | 1.47012i | ||||
\(165\) | −842.871 | + | 2909.93i | −0.397682 | + | 1.37296i | ||||
\(166\) | −578.433 | + | 2833.35i | −0.270452 | + | 1.32476i | ||||
\(167\) | −80.2082 | + | 60.2725i | −0.0371658 | + | 0.0279283i | −0.619163 | − | 0.785263i | \(-0.712528\pi\) |
0.581997 | + | 0.813191i | \(0.302272\pi\) | |||||||
\(168\) | 871.228 | 0.400099 | ||||||||
\(169\) | 1720.32 | + | 1366.49i | 0.783032 | + | 0.621981i | ||||
\(170\) | −7969.58 | −3.59552 | ||||||||
\(171\) | 84.3169 | − | 63.3600i | 0.0377068 | − | 0.0283349i | ||||
\(172\) | −458.957 | + | 2248.12i | −0.203460 | + | 0.996613i | ||||
\(173\) | 797.776 | − | 2754.24i | 0.350600 | − | 1.21041i | −0.570569 | − | 0.821250i | \(-0.693277\pi\) |
0.921169 | − | 0.389162i | \(-0.127235\pi\) | |||||||
\(174\) | −2087.71 | − | 1095.71i | −0.909589 | − | 0.477389i | ||||
\(175\) | 11.6537 | + | 24.5597i | 0.00503393 | + | 0.0106088i | ||||
\(176\) | −7025.18 | − | 1141.70i | −3.00877 | − | 0.488972i | ||||
\(177\) | −738.609 | − | 1947.55i | −0.313657 | − | 0.827044i | ||||
\(178\) | 1946.26 | + | 829.222i | 0.819539 | + | 0.349173i | ||||
\(179\) | 2820.21 | − | 458.329i | 1.17761 | − | 0.191381i | 0.460062 | − | 0.887887i | \(-0.347827\pi\) |
0.717551 | + | 0.696506i | \(0.245263\pi\) | |||||||
\(180\) | −489.609 | + | 208.603i | −0.202740 | + | 0.0863796i | ||||
\(181\) | 1388.52 | + | 728.751i | 0.570209 | + | 0.299269i | 0.725078 | − | 0.688666i | \(-0.241803\pi\) |
−0.154870 | + | 0.987935i | \(0.549496\pi\) | |||||||
\(182\) | −766.238 | + | 113.993i | −0.312073 | + | 0.0464271i | ||||
\(183\) | −1047.01 | + | 549.514i | −0.422936 | + | 0.221974i | ||||
\(184\) | 5903.42 | − | 7230.37i | 2.36525 | − | 2.89690i | ||||
\(185\) | −831.471 | − | 525.790i | −0.330438 | − | 0.208956i | ||||
\(186\) | 719.642 | + | 116.953i | 0.283692 | + | 0.0461044i | ||||
\(187\) | −6869.38 | + | 1693.15i | −2.68630 | + | 0.662114i | ||||
\(188\) | −4439.96 | + | 7690.23i | −1.72243 | + | 2.98334i | ||||
\(189\) | 323.742 | − | 337.052i | 0.124597 | − | 0.129719i | ||||
\(190\) | 902.765 | − | 2380.40i | 0.344702 | − | 0.908905i | ||||
\(191\) | −200.072 | + | 346.534i | −0.0757941 | + | 0.131279i | −0.901431 | − | 0.432922i | \(-0.857482\pi\) |
0.825637 | + | 0.564201i | \(0.190816\pi\) | |||||||
\(192\) | 588.546 | + | 1019.39i | 0.221222 | + | 0.383168i | ||||
\(193\) | −2285.34 | + | 371.403i | −0.852343 | + | 0.138519i | −0.570860 | − | 0.821047i | \(-0.693390\pi\) |
−0.281482 | + | 0.959566i | \(0.590826\pi\) | |||||||
\(194\) | 2211.11 | + | 3203.34i | 0.818290 | + | 1.18550i | ||||
\(195\) | −2285.96 | + | 1402.96i | −0.839491 | + | 0.515222i | ||||
\(196\) | −3524.05 | + | 5105.47i | −1.28427 | + | 1.86059i | ||||
\(197\) | −424.283 | + | 894.158i | −0.153446 | + | 0.323381i | −0.965587 | − | 0.260081i | \(-0.916251\pi\) |
0.812141 | + | 0.583462i | \(0.198302\pi\) | |||||||
\(198\) | −539.773 | + | 405.613i | −0.193737 | + | 0.145584i | ||||
\(199\) | −113.809 | + | 2824.15i | −0.0405413 | + | 1.00602i | 0.843071 | + | 0.537803i | \(0.180746\pi\) |
−0.883612 | + | 0.468220i | \(0.844895\pi\) | |||||||
\(200\) | −264.968 | + | 383.872i | −0.0936803 | + | 0.135719i | ||||
\(201\) | −3057.90 | + | 246.859i | −1.07307 | + | 0.0866275i | ||||
\(202\) | −1654.27 | − | 8103.13i | −0.576206 | − | 2.82245i | ||||
\(203\) | −261.479 | + | 137.235i | −0.0904050 | + | 0.0474482i | ||||
\(204\) | 9864.46 | + | 7412.66i | 3.38554 | + | 2.54407i | ||||
\(205\) | 2604.00 | − | 3189.33i | 0.887178 | − | 1.08660i | ||||
\(206\) | 8368.68 | + | 675.590i | 2.83046 | + | 0.228498i | ||||
\(207\) | −50.5981 | − | 416.713i | −0.0169894 | − | 0.139921i | ||||
\(208\) | −3919.30 | − | 4933.99i | −1.30651 | − | 1.64476i | ||||
\(209\) | 272.420 | − | 2243.58i | 0.0901610 | − | 0.742543i | ||||
\(210\) | 189.171 | − | 926.622i | 0.0621622 | − | 0.304491i | ||||
\(211\) | −1144.39 | − | 3950.89i | −0.373379 | − | 1.28905i | −0.898855 | − | 0.438246i | \(-0.855600\pi\) |
0.525476 | − | 0.850809i | \(-0.323887\pi\) | |||||||
\(212\) | 2707.73 | − | 218.591i | 0.877207 | − | 0.0708155i | ||||
\(213\) | 66.0816 | + | 544.231i | 0.0212574 | + | 0.175071i | ||||
\(214\) | 654.362 | + | 801.449i | 0.209025 | + | 0.256009i | ||||
\(215\) | 1308.16 | + | 557.353i | 0.414956 | + | 0.176796i | ||||
\(216\) | 7785.91 | + | 1919.05i | 2.45261 | + | 0.604514i | ||||
\(217\) | 63.2565 | − | 65.8570i | 0.0197886 | − | 0.0206021i | ||||
\(218\) | 5038.53 | + | 1682.11i | 1.56538 | + | 0.522600i | ||||
\(219\) | 4466.85 | + | 1491.25i | 1.37827 | + | 0.460135i | ||||
\(220\) | −4043.97 | + | 10663.1i | −1.23929 | + | 3.26775i | ||||
\(221\) | −5506.65 | − | 2985.05i | −1.67610 | − | 0.908579i | ||||
\(222\) | 771.883 | + | 2035.29i | 0.233358 | + | 0.615314i | ||||
\(223\) | 122.057 | + | 3028.82i | 0.0366527 | + | 0.909527i | 0.908028 | + | 0.418910i | \(0.137588\pi\) |
−0.871375 | + | 0.490617i | \(0.836771\pi\) | |||||||
\(224\) | 811.913 | + | 65.5444i | 0.242180 | + | 0.0195508i | ||||
\(225\) | 4.19581 | + | 20.5524i | 0.00124320 | + | 0.00608961i | ||||
\(226\) | 7436.51 | + | 6588.17i | 2.18880 | + | 1.93911i | ||||
\(227\) | −56.0596 | + | 193.540i | −0.0163912 | + | 0.0565891i | −0.968297 | − | 0.249802i | \(-0.919634\pi\) |
0.951906 | + | 0.306391i | \(0.0991216\pi\) | |||||||
\(228\) | −3331.46 | + | 2106.69i | −0.967683 | + | 0.611925i | ||||
\(229\) | −1891.14 | − | 2739.79i | −0.545721 | − | 0.790613i | 0.448967 | − | 0.893548i | \(-0.351792\pi\) |
−0.994688 | + | 0.102935i | \(0.967177\pi\) | |||||||
\(230\) | −6408.28 | − | 7848.71i | −1.83717 | − | 2.25013i | ||||
\(231\) | −33.8062 | − | 838.892i | −0.00962894 | − | 0.238940i | ||||
\(232\) | −4282.53 | − | 2708.11i | −1.21191 | − | 0.766363i | ||||
\(233\) | 341.492 | − | 302.536i | 0.0960168 | − | 0.0850634i | −0.613749 | − | 0.789501i | \(-0.710339\pi\) |
0.709766 | + | 0.704438i | \(0.248801\pi\) | |||||||
\(234\) | −595.125 | − | 56.0917i | −0.166259 | − | 0.0156702i | ||||
\(235\) | 4119.10 | + | 3649.20i | 1.14341 | + | 1.01297i | ||||
\(236\) | −2181.42 | − | 7531.15i | −0.601689 | − | 2.07727i | ||||
\(237\) | 1510.49 | − | 3183.30i | 0.413996 | − | 0.872479i | ||||
\(238\) | 2094.94 | − | 699.393i | 0.570566 | − | 0.190483i | ||||
\(239\) | 5014.60 | 1.35719 | 0.678593 | − | 0.734515i | \(-0.262590\pi\) | ||||
0.678593 | + | 0.734515i | \(0.262590\pi\) | |||||||
\(240\) | 7296.75 | − | 2436.01i | 1.96251 | − | 0.655184i | ||||
\(241\) | 283.962 | − | 7046.45i | 0.0758988 | − | 1.88341i | −0.296073 | − | 0.955165i | \(-0.595677\pi\) |
0.371971 | − | 0.928244i | \(-0.378682\pi\) | |||||||
\(242\) | −915.833 | + | 7542.56i | −0.243273 | + | 2.00353i | ||||
\(243\) | 584.034 | − | 369.320i | 0.154180 | − | 0.0974976i | ||||
\(244\) | −4094.95 | + | 1744.70i | −1.07440 | + | 0.457757i | ||||
\(245\) | 2663.18 | + | 2772.66i | 0.694466 | + | 0.723016i | ||||
\(246\) | −8845.58 | + | 2180.24i | −2.29258 | + | 0.565069i | ||||
\(247\) | 1515.36 | − | 1306.62i | 0.390365 | − | 0.336592i | ||||
\(248\) | 1521.30 | + | 374.966i | 0.389527 | + | 0.0960097i | ||||
\(249\) | −1387.34 | − | 2402.95i | −0.353089 | − | 0.611569i | ||||
\(250\) | −4813.31 | − | 5011.19i | −1.21768 | − | 1.26774i | ||||
\(251\) | −1354.83 | − | 2855.25i | −0.340703 | − | 0.718015i | 0.658706 | − | 0.752400i | \(-0.271104\pi\) |
−0.999409 | + | 0.0343849i | \(0.989053\pi\) | |||||||
\(252\) | 110.395 | − | 97.8017i | 0.0275962 | − | 0.0244481i | ||||
\(253\) | −7191.09 | − | 5403.75i | −1.78696 | − | 1.34281i | ||||
\(254\) | −3784.95 | − | 2844.20i | −0.934995 | − | 0.702603i | ||||
\(255\) | 5723.74 | − | 5070.79i | 1.40563 | − | 1.24528i | ||||
\(256\) | −2603.94 | − | 5487.69i | −0.635728 | − | 1.33977i | ||||
\(257\) | 5147.23 | + | 5358.84i | 1.24932 | + | 1.30068i | 0.936414 | + | 0.350897i | \(0.114123\pi\) |
0.312907 | + | 0.949784i | \(0.398697\pi\) | |||||||
\(258\) | −1573.13 | − | 2724.75i | −0.379609 | − | 0.657502i | ||||
\(259\) | 264.708 | + | 65.2447i | 0.0635065 | + | 0.0156529i | ||||
\(260\) | −9002.12 | + | 4571.65i | −2.14726 | + | 1.09047i | ||||
\(261\) | −221.245 | + | 54.5321i | −0.0524703 | + | 0.0129328i | ||||
\(262\) | 2933.70 | + | 3054.30i | 0.691773 | + | 0.720212i | ||||
\(263\) | 65.9269 | − | 28.0888i | 0.0154571 | − | 0.00658567i | −0.384224 | − | 0.923240i | \(-0.625531\pi\) |
0.399681 | + | 0.916654i | \(0.369121\pi\) | |||||||
\(264\) | 12175.6 | − | 7699.37i | 2.83847 | − | 1.79494i | ||||
\(265\) | 202.923 | − | 1671.22i | 0.0470395 | − | 0.387405i | ||||
\(266\) | −28.4086 | + | 704.952i | −0.00654828 | + | 0.162494i | ||||
\(267\) | −1925.41 | + | 642.795i | −0.441322 | + | 0.147335i | ||||
\(268\) | −11548.4 | −2.63220 | ||||||||
\(269\) | 3982.14 | − | 1329.43i | 0.902584 | − | 0.301327i | 0.172762 | − | 0.984964i | \(-0.444731\pi\) |
0.729823 | + | 0.683637i | \(0.239603\pi\) | |||||||
\(270\) | 3731.64 | − | 7864.26i | 0.841112 | − | 1.77261i | ||||
\(271\) | 2407.69 | + | 8312.30i | 0.539692 | + | 1.86323i | 0.503694 | + | 0.863882i | \(0.331974\pi\) |
0.0359987 | + | 0.999352i | \(0.488539\pi\) | |||||||
\(272\) | 13446.9 | + | 11912.9i | 2.99756 | + | 2.65561i | ||||
\(273\) | 477.781 | − | 569.403i | 0.105922 | − | 0.126234i | ||||
\(274\) | 1440.79 | − | 1276.43i | 0.317668 | − | 0.281430i | ||||
\(275\) | 379.906 | + | 240.238i | 0.0833062 | + | 0.0526797i | ||||
\(276\) | 631.694 | + | 15675.3i | 0.137766 | + | 3.41864i | ||||
\(277\) | −4746.24 | − | 5813.09i | −1.02951 | − | 1.26092i | −0.964792 | − | 0.263015i | \(-0.915283\pi\) |
−0.0647169 | − | 0.997904i | \(-0.520614\pi\) | |||||||
\(278\) | 2791.64 | + | 4044.39i | 0.602271 | + | 0.872540i | ||||
\(279\) | 59.5539 | − | 37.6596i | 0.0127792 | − | 0.00808109i | ||||
\(280\) | 565.455 | − | 1952.18i | 0.120687 | − | 0.416660i | ||||
\(281\) | 952.918 | + | 844.212i | 0.202300 | + | 0.179222i | 0.758190 | − | 0.652034i | \(-0.226084\pi\) |
−0.555890 | + | 0.831256i | \(0.687622\pi\) | |||||||
\(282\) | −2435.59 | − | 11930.3i | −0.514317 | − | 2.51929i | ||||
\(283\) | −6581.12 | − | 531.283i | −1.38236 | − | 0.111595i | −0.633201 | − | 0.773988i | \(-0.718259\pi\) |
−0.749157 | + | 0.662392i | \(0.769541\pi\) | |||||||
\(284\) | 83.0970 | + | 2062.03i | 0.0173623 | + | 0.430841i | ||||
\(285\) | 866.206 | + | 2284.00i | 0.180034 | + | 0.474710i | ||||
\(286\) | −9700.93 | + | 8364.61i | −2.00569 | + | 1.72941i | ||||
\(287\) | −404.618 | + | 1066.89i | −0.0832190 | + | 0.219430i | ||||
\(288\) | 596.191 | + | 199.038i | 0.121982 | + | 0.0407237i | ||||
\(289\) | 12278.7 | + | 4099.22i | 2.49922 | + | 0.834362i | ||||
\(290\) | −3810.17 | + | 3966.81i | −0.771521 | + | 0.803238i | ||||
\(291\) | −3626.20 | − | 893.778i | −0.730487 | − | 0.180049i | ||||
\(292\) | 16308.4 | + | 6948.37i | 3.26842 | + | 1.39254i | ||||
\(293\) | 3291.93 | + | 4031.89i | 0.656372 | + | 0.803909i | 0.990338 | − | 0.138676i | \(-0.0442846\pi\) |
−0.333966 | + | 0.942585i | \(0.608387\pi\) | |||||||
\(294\) | −1025.35 | − | 8444.54i | −0.203401 | − | 1.67516i | ||||
\(295\) | −4843.29 | + | 390.991i | −0.955890 | + | 0.0771674i | ||||
\(296\) | 1301.47 | + | 4493.21i | 0.255563 | + | 0.882306i | ||||
\(297\) | 1545.71 | − | 7571.40i | 0.301991 | − | 1.47925i | ||||
\(298\) | −726.370 | + | 5982.19i | −0.141200 | + | 1.16288i | ||||
\(299\) | −1488.08 | − | 7823.39i | −0.287819 | − | 1.51317i | ||||
\(300\) | −94.4937 | − | 778.226i | −0.0181853 | − | 0.149770i | ||||
\(301\) | −392.783 | − | 31.7087i | −0.0752147 | − | 0.00607196i | ||||
\(302\) | −5679.94 | + | 6956.66i | −1.08226 | + | 1.32553i | ||||
\(303\) | 6343.86 | + | 4767.10i | 1.20279 | + | 0.903837i | ||||
\(304\) | −5081.42 | + | 2666.93i | −0.958682 | + | 0.503155i | ||||
\(305\) | 551.763 | + | 2702.71i | 0.103586 | + | 0.507399i | ||||
\(306\) | 1698.70 | − | 137.134i | 0.317348 | − | 0.0256190i | ||||
\(307\) | −4651.00 | + | 6738.13i | −0.864646 | + | 1.25266i | 0.101545 | + | 0.994831i | \(0.467621\pi\) |
−0.966192 | + | 0.257825i | \(0.916994\pi\) | |||||||
\(308\) | 127.257 | − | 3157.86i | 0.0235427 | − | 0.584206i | ||||
\(309\) | −6440.23 | + | 4839.52i | −1.18567 | + | 0.890974i | ||||
\(310\) | 729.130 | − | 1536.61i | 0.133586 | − | 0.281527i | ||||
\(311\) | 3095.18 | − | 4484.15i | 0.564347 | − | 0.817597i | −0.432100 | − | 0.901826i | \(-0.642227\pi\) |
0.996446 | + | 0.0842285i | \(0.0268426\pi\) | |||||||
\(312\) | 12560.1 | + | 2214.62i | 2.27909 | + | 0.401852i | ||||
\(313\) | −3387.26 | − | 4907.30i | −0.611692 | − | 0.886188i | 0.387674 | − | 0.921796i | \(-0.373279\pi\) |
−0.999366 | + | 0.0356081i | \(0.988663\pi\) | |||||||
\(314\) | −6175.90 | + | 1003.68i | −1.10996 | + | 0.180386i | ||||
\(315\) | −45.7002 | − | 79.1551i | −0.00817434 | − | 0.0141584i | ||||
\(316\) | 6631.77 | − | 11486.6i | 1.18059 | − | 2.04484i | ||||
\(317\) | −2467.67 | + | 6506.71i | −0.437218 | + | 1.15285i | 0.517591 | + | 0.855628i | \(0.326829\pi\) |
−0.954809 | + | 0.297221i | \(0.903940\pi\) | |||||||
\(318\) | −2580.40 | + | 2686.48i | −0.455036 | + | 0.473743i | ||||
\(319\) | −2441.42 | + | 4228.67i | −0.428506 | + | 0.742194i | ||||
\(320\) | 2666.15 | − | 657.148i | 0.465758 | − | 0.114799i | ||||
\(321\) | −979.899 | − | 159.249i | −0.170382 | − | 0.0276898i | ||||
\(322\) | 2373.31 | + | 1500.79i | 0.410743 | + | 0.259738i | ||||
\(323\) | −3607.84 | + | 4418.80i | −0.621503 | + | 0.761203i | ||||
\(324\) | −10832.4 | + | 5685.27i | −1.85740 | + | 0.974840i | ||||
\(325\) | 105.577 | + | 383.689i | 0.0180195 | + | 0.0654868i | ||||
\(326\) | −11434.3 | − | 6001.18i | −1.94260 | − | 1.01955i | ||||
\(327\) | −4688.94 | + | 1997.77i | −0.792963 | + | 0.337850i | ||||
\(328\) | −19324.9 | + | 3140.60i | −3.25316 | + | 0.528690i | ||||
\(329\) | −1403.02 | − | 597.771i | −0.235110 | − | 0.100171i | ||||
\(330\) | −5545.21 | − | 14621.5i | −0.925011 | − | 2.43905i | ||||
\(331\) | −1249.37 | − | 203.042i | −0.207466 | − | 0.0337166i | 0.0557898 | − | 0.998443i | \(-0.482232\pi\) |
−0.263256 | + | 0.964726i | \(0.584796\pi\) | |||||||
\(332\) | −4477.61 | − | 9436.35i | −0.740182 | − | 1.55990i | ||||
\(333\) | 186.274 | + | 97.7643i | 0.0306540 | + | 0.0160884i | ||||
\(334\) | 144.083 | − | 497.431i | 0.0236044 | − | 0.0814917i | ||||
\(335\) | −1431.53 | + | 7012.12i | −0.233472 | + | 1.14362i | ||||
\(336\) | −1704.29 | + | 1280.69i | −0.276717 | + | 0.207939i | ||||
\(337\) | 3781.33 | 0.611224 | 0.305612 | − | 0.952156i | \(-0.401139\pi\) | ||||
0.305612 | + | 0.952156i | \(0.401139\pi\) | |||||||
\(338\) | −11336.3 | − | 304.352i | −1.82429 | − | 0.0489779i | ||||
\(339\) | −9532.74 | −1.52728 | ||||||||
\(340\) | 23012.1 | − | 17292.4i | 3.67060 | − | 2.75828i | ||||
\(341\) | 302.019 | − | 1479.39i | 0.0479626 | − | 0.234936i | ||||
\(342\) | −151.463 | + | 522.912i | −0.0239479 | + | 0.0826779i | ||||
\(343\) | −1915.83 | − | 1005.51i | −0.301590 | − | 0.158287i | ||||
\(344\) | −2898.58 | − | 6108.64i | −0.454306 | − | 0.957429i | ||||
\(345\) | 9596.31 | + | 1559.55i | 1.49753 | + | 0.243372i | ||||
\(346\) | 5248.53 | + | 13839.2i | 0.815499 | + | 2.15029i | ||||
\(347\) | −7119.67 | − | 3033.41i | −1.10145 | − | 0.469285i | −0.236751 | − | 0.971570i | \(-0.576082\pi\) |
−0.864702 | + | 0.502285i | \(0.832493\pi\) | |||||||
\(348\) | 8405.71 | − | 1366.06i | 1.29481 | − | 0.210427i | ||||
\(349\) | 2007.76 | − | 855.427i | 0.307946 | − | 0.131203i | −0.232465 | − | 0.972605i | \(-0.574679\pi\) |
0.540411 | + | 0.841401i | \(0.318269\pi\) | |||||||
\(350\) | −124.246 | − | 65.2092i | −0.0189749 | − | 0.00995880i | ||||
\(351\) | 5524.01 | − | 4036.18i | 0.840028 | − | 0.613775i | ||||
\(352\) | 11925.9 | − | 6259.19i | 1.80583 | − | 0.947772i | ||||
\(353\) | 2280.15 | − | 2792.68i | 0.343797 | − | 0.421074i | −0.573546 | − | 0.819173i | \(-0.694433\pi\) |
0.917342 | + | 0.398099i | \(0.130330\pi\) | |||||||
\(354\) | 9086.99 | + | 5746.26i | 1.36432 | + | 0.862742i | ||||
\(355\) | 1262.36 | + | 205.153i | 0.188730 | + | 0.0306715i | ||||
\(356\) | −7419.04 | + | 1828.63i | −1.10452 | + | 0.272239i | ||||
\(357\) | −1059.58 | + | 1835.25i | −0.157084 | + | 0.272077i | ||||
\(358\) | −10216.4 | + | 10636.4i | −1.50825 | + | 1.57026i | ||||
\(359\) | −381.277 | + | 1005.35i | −0.0560531 | + | 0.147800i | −0.960118 | − | 0.279596i | \(-0.909800\pi\) |
0.904065 | + | 0.427395i | \(0.140569\pi\) | |||||||
\(360\) | 784.143 | − | 1358.18i | 0.114800 | − | 0.198839i | ||||
\(361\) | 2518.35 | + | 4361.91i | 0.367160 | + | 0.635940i | ||||
\(362\) | −7989.51 | + | 1298.42i | −1.16000 | + | 0.188518i | ||||
\(363\) | −4141.34 | − | 5999.77i | −0.598799 | − | 0.867511i | ||||
\(364\) | 1965.16 | − | 1991.74i | 0.282974 | − | 0.286801i | ||||
\(365\) | 6240.61 | − | 9041.09i | 0.894928 | − | 1.29653i | ||||
\(366\) | 2616.54 | − | 5514.23i | 0.373684 | − | 0.787523i | ||||
\(367\) | 5214.19 | − | 3918.21i | 0.741631 | − | 0.557300i | −0.161393 | − | 0.986890i | \(-0.551599\pi\) |
0.903024 | + | 0.429591i | \(0.141342\pi\) | |||||||
\(368\) | −919.695 | + | 22822.0i | −0.130278 | + | 3.23282i | ||||
\(369\) | −500.161 | + | 724.608i | −0.0705619 | + | 0.102227i | ||||
\(370\) | 5061.49 | − | 408.606i | 0.711174 | − | 0.0574119i | ||||
\(371\) | 93.3210 | + | 457.117i | 0.0130593 | + | 0.0639685i | ||||
\(372\) | −2331.72 | + | 1223.78i | −0.324984 | + | 0.170565i | ||||
\(373\) | 7126.68 | + | 5355.35i | 0.989291 | + | 0.743404i | 0.966587 | − | 0.256338i | \(-0.0825161\pi\) |
0.0227039 | + | 0.999742i | \(0.492773\pi\) | |||||||
\(374\) | 23096.4 | − | 28287.9i | 3.19327 | − | 3.91105i | ||||
\(375\) | 6645.38 | + | 536.470i | 0.915109 | + | 0.0738752i | ||||
\(376\) | −3154.15 | − | 25976.7i | −0.432614 | − | 3.56289i | ||||
\(377\) | −4118.46 | + | 1313.78i | −0.562630 | + | 0.179478i | ||||
\(378\) | −290.773 | + | 2394.73i | −0.0395655 | + | 0.325851i | ||||
\(379\) | −592.618 | + | 2902.83i | −0.0803185 | + | 0.393426i | 0.919681 | + | 0.392666i | \(0.128447\pi\) |
−1.00000 | 0.000760244i | \(0.999758\pi\) | ||||||||
\(380\) | 2558.27 | + | 8832.19i | 0.345360 | + | 1.19232i | ||||
\(381\) | 4528.02 | − | 365.540i | 0.608865 | − | 0.0491527i | ||||
\(382\) | −248.961 | − | 2050.37i | −0.0333454 | − | 0.274624i | ||||
\(383\) | −559.906 | − | 685.761i | −0.0746994 | − | 0.0914902i | 0.735903 | − | 0.677087i | \(-0.236758\pi\) |
−0.810603 | + | 0.585596i | \(0.800860\pi\) | |||||||
\(384\) | 3683.45 | + | 1569.37i | 0.489505 | + | 0.208559i | ||||
\(385\) | −1901.66 | − | 468.718i | −0.251734 | − | 0.0620470i | ||||
\(386\) | 8278.80 | − | 8619.15i | 1.09166 | − | 1.13654i | ||||
\(387\) | −288.422 | − | 96.2895i | −0.0378846 | − | 0.0126477i | ||||
\(388\) | −13335.2 | − | 4451.94i | −1.74482 | − | 0.582507i | ||||
\(389\) | 4243.21 | − | 11188.4i | 0.553057 | − | 1.45829i | −0.308792 | − | 0.951129i | \(-0.599925\pi\) |
0.861850 | − | 0.507163i | \(-0.169306\pi\) | |||||||
\(390\) | 5082.62 | − | 12877.8i | 0.659919 | − | 1.67203i | ||||
\(391\) | 8051.13 | + | 21229.1i | 1.04134 | + | 2.74578i | ||||
\(392\) | −736.099 | − | 18266.1i | −0.0948434 | − | 2.35351i | ||||
\(393\) | −4050.34 | − | 326.977i | −0.519879 | − | 0.0419690i | ||||
\(394\) | −1021.86 | − | 5005.40i | −0.130661 | − | 0.640022i | ||||
\(395\) | −6152.52 | − | 5450.66i | −0.783714 | − | 0.694310i | ||||
\(396\) | 678.486 | − | 2342.40i | 0.0860989 | − | 0.297248i | ||||
\(397\) | 2222.12 | − | 1405.18i | 0.280919 | − | 0.177643i | −0.386574 | − | 0.922258i | \(-0.626342\pi\) |
0.667493 | + | 0.744616i | \(0.267367\pi\) | |||||||
\(398\) | −8287.70 | − | 12006.8i | −1.04378 | − | 1.51218i | ||||
\(399\) | −428.136 | − | 524.371i | −0.0537183 | − | 0.0657929i | ||||
\(400\) | −45.9577 | − | 1140.43i | −0.00574472 | − | 0.142554i | ||||
\(401\) | −10543.9 | − | 6667.54i | −1.31306 | − | 0.830327i | −0.319938 | − | 0.947438i | \(-0.603662\pi\) |
−0.993119 | + | 0.117111i | \(0.962637\pi\) | |||||||
\(402\) | 11853.0 | − | 10500.8i | 1.47058 | − | 1.30282i | ||||
\(403\) | 1079.34 | − | 788.634i | 0.133414 | − | 0.0974806i | ||||
\(404\) | 22358.9 | + | 19808.2i | 2.75346 | + | 2.43935i | ||||
\(405\) | 2109.29 | + | 7282.12i | 0.258794 | + | 0.893460i | ||||
\(406\) | 653.449 | − | 1377.11i | 0.0798772 | − | 0.168338i | ||||
\(407\) | 4275.94 | − | 1427.52i | 0.520763 | − | 0.173856i | ||||
\(408\) | −36361.4 | −4.41215 | ||||||||
\(409\) | 1162.00 | − | 387.932i | 0.140482 | − | 0.0468998i | −0.245558 | − | 0.969382i | \(-0.578971\pi\) |
0.386040 | + | 0.922482i | \(0.373843\pi\) | |||||||
\(410\) | −855.761 | + | 21235.5i | −0.103081 | + | 2.55792i | ||||
\(411\) | −222.622 | + | 1833.46i | −0.0267181 | + | 0.220043i | ||||
\(412\) | −25630.4 | + | 16207.7i | −3.06485 | + | 1.93809i | ||||
\(413\) | 1238.83 | − | 527.816i | 0.147600 | − | 0.0628865i | ||||
\(414\) | 1500.97 | + | 1562.67i | 0.178185 | + | 0.185510i | ||||
\(415\) | −6284.76 | + | 1549.05i | −0.743390 | + | 0.183229i | ||||
\(416\) | 11538.4 | + | 3008.76i | 1.35989 | + | 0.354608i | ||||
\(417\) | −4578.27 | − | 1128.44i | −0.537647 | − | 0.132518i | ||||
\(418\) | 5832.91 | + | 10102.9i | 0.682528 | + | 1.18217i | ||||
\(419\) | 2925.94 | + | 3046.22i | 0.341149 | + | 0.355174i | 0.869571 | − | 0.493808i | \(-0.164396\pi\) |
−0.528422 | + | 0.848982i | \(0.677216\pi\) | |||||||
\(420\) | 1464.36 | + | 3086.08i | 0.170127 | + | 0.358536i | ||||
\(421\) | 671.311 | − | 594.730i | 0.0777143 | − | 0.0688488i | −0.623371 | − | 0.781926i | \(-0.714238\pi\) |
0.701086 | + | 0.713077i | \(0.252699\pi\) | |||||||
\(422\) | 16973.6 | + | 12754.8i | 1.95796 | + | 1.47131i | ||||
\(423\) | −940.773 | − | 706.945i | −0.108137 | − | 0.0812597i | ||||
\(424\) | −5991.96 | + | 5308.41i | −0.686309 | + | 0.608017i | ||||
\(425\) | −486.377 | − | 1025.02i | −0.0555123 | − | 0.116990i | ||||
\(426\) | −1960.28 | − | 2040.87i | −0.222948 | − | 0.232113i | ||||
\(427\) | −382.224 | − | 662.032i | −0.0433188 | − | 0.0750303i | ||||
\(428\) | −3628.45 | − | 894.333i | −0.409785 | − | 0.101003i | ||||
\(429\) | 1645.05 | − | 12179.8i | 0.185137 | − | 1.37074i | ||||
\(430\) | −7126.41 | + | 1756.50i | −0.799223 | + | 0.196991i | ||||
\(431\) | 4667.93 | + | 4859.83i | 0.521685 | + | 0.543131i | 0.928963 | − | 0.370173i | \(-0.120702\pi\) |
−0.407278 | + | 0.913304i | \(0.633522\pi\) | |||||||
\(432\) | −18051.8 | + | 7691.14i | −2.01045 | + | 0.856574i | ||||
\(433\) | 9108.02 | − | 5759.56i | 1.01086 | − | 0.639231i | 0.0770629 | − | 0.997026i | \(-0.475446\pi\) |
0.933800 | + | 0.357795i | \(0.116471\pi\) | |||||||
\(434\) | −56.8146 | + | 467.910i | −0.00628384 | + | 0.0517521i | ||||
\(435\) | 212.505 | − | 5273.25i | 0.0234226 | − | 0.581225i | ||||
\(436\) | −18198.5 | + | 6075.57i | −1.99897 | + | 0.667355i | ||||
\(437\) | −7252.82 | −0.793935 | ||||||||
\(438\) | −23056.7 | + | 7697.47i | −2.51528 | + | 0.839724i | ||||
\(439\) | −5032.65 | + | 10606.1i | −0.547142 | + | 1.15308i | 0.422005 | + | 0.906594i | \(0.361327\pi\) |
−0.969147 | + | 0.246484i | \(0.920725\pi\) | |||||||
\(440\) | −9349.78 | − | 32279.2i | −1.01303 | − | 3.49739i | ||||
\(441\) | −615.363 | − | 545.164i | −0.0664467 | − | 0.0588666i | ||||
\(442\) | 31979.5 | − | 4757.59i | 3.44143 | − | 0.511981i | ||||
\(443\) | 4024.04 | − | 3564.99i | 0.431575 | − | 0.382343i | −0.419181 | − | 0.907903i | \(-0.637683\pi\) |
0.850756 | + | 0.525560i | \(0.176144\pi\) | |||||||
\(444\) | −6644.99 | − | 4202.03i | −0.710264 | − | 0.449144i | ||||
\(445\) | 190.672 | + | 4731.49i | 0.0203118 | + | 0.504032i | ||||
\(446\) | −9895.65 | − | 12120.0i | −1.05061 | − | 1.28677i | ||||
\(447\) | −3284.60 | − | 4758.57i | −0.347554 | − | 0.503518i | ||||
\(448\) | −643.173 | + | 406.718i | −0.0678283 | + | 0.0428920i | ||||
\(449\) | 3708.92 | − | 12804.7i | 0.389832 | − | 1.34586i | −0.490476 | − | 0.871455i | \(-0.663177\pi\) |
0.880308 | − | 0.474402i | \(-0.157336\pi\) | |||||||
\(450\) | −81.0446 | − | 71.7993i | −0.00848996 | − | 0.00752144i | ||||
\(451\) | 3773.89 | + | 18485.8i | 0.394026 | + | 1.93007i | ||||
\(452\) | −35767.9 | − | 2887.48i | −3.72208 | − | 0.300477i | ||||
\(453\) | −346.981 | − | 8610.24i | −0.0359880 | − | 0.893033i | ||||
\(454\) | −368.813 | − | 972.481i | −0.0381261 | − | 0.100530i | ||||
\(455\) | −965.777 | − | 1440.13i | −0.0995084 | − | 0.148384i | ||||
\(456\) | 4118.89 | − | 10860.6i | 0.422992 | − | 1.11534i | ||||
\(457\) | 15895.3 | + | 5306.64i | 1.62703 | + | 0.543182i | 0.976354 | − | 0.216176i | \(-0.0693585\pi\) |
0.650673 | + | 0.759358i | \(0.274487\pi\) | |||||||
\(458\) | 16299.6 | + | 5441.60i | 1.66294 | + | 0.555173i | ||||
\(459\) | −13511.6 | + | 14067.1i | −1.37401 | + | 1.43049i | ||||
\(460\) | 35534.0 | + | 8758.34i | 3.60170 | + | 0.887739i | ||||
\(461\) | 9746.59 | + | 4152.63i | 0.984694 | + | 0.419539i | 0.823458 | − | 0.567377i | \(-0.192042\pi\) |
0.161236 | + | 0.986916i | \(0.448452\pi\) | |||||||
\(462\) | 2740.80 | + | 3356.87i | 0.276004 | + | 0.338043i | ||||
\(463\) | −1493.35 | − | 12298.8i | −0.149896 | − | 1.23450i | −0.852425 | − | 0.522849i | \(-0.824869\pi\) |
0.702530 | − | 0.711654i | \(-0.252054\pi\) | |||||||
\(464\) | 12358.4 | − | 997.671i | 1.23647 | − | 0.0998183i | ||||
\(465\) | 454.036 | + | 1567.51i | 0.0452804 | + | 0.156326i | ||||
\(466\) | −471.048 | + | 2307.34i | −0.0468259 | + | 0.229368i | ||||
\(467\) | −78.2366 | + | 644.337i | −0.00775238 | + | 0.0638466i | −0.996072 | − | 0.0885511i | \(-0.971776\pi\) |
0.988319 | + | 0.152398i | \(0.0486994\pi\) | |||||||
\(468\) | 1840.12 | − | 1129.34i | 0.181752 | − | 0.111547i | ||||
\(469\) | −239.066 | − | 1968.88i | −0.0235374 | − | 0.193848i | ||||
\(470\) | −28313.3 | − | 2285.68i | −2.77871 | − | 0.224321i | ||||
\(471\) | 3796.91 | − | 4650.38i | 0.371449 | − | 0.454943i | ||||
\(472\) | 18471.3 | + | 13880.3i | 1.80129 | + | 1.35358i | ||||
\(473\) | −5769.44 | + | 3028.04i | −0.560844 | + | 0.294354i | ||||
\(474\) | 3637.94 | + | 17819.8i | 0.352523 | + | 1.72677i | ||||
\(475\) | 361.253 | − | 29.1633i | 0.0348956 | − | 0.00281706i | ||||
\(476\) | −4531.56 | + | 6565.09i | −0.436352 | + | 0.632165i | ||||
\(477\) | −14.4958 | + | 359.710i | −0.00139144 | + | 0.0345283i | ||||
\(478\) | −20692.8 | + | 15549.6i | −1.98006 | + | 1.48792i | ||||
\(479\) | −1362.67 | + | 2871.77i | −0.129983 | + | 0.273934i | −0.957999 | − | 0.286770i | \(-0.907418\pi\) |
0.828016 | + | 0.560704i | \(0.189470\pi\) | |||||||
\(480\) | −8269.49 | + | 11980.4i | −0.786352 | + | 1.13923i | ||||
\(481\) | 3650.33 | + | 1613.48i | 0.346030 | + | 0.152949i | ||||
\(482\) | 20678.4 | + | 29957.8i | 1.95410 | + | 2.83100i | ||||
\(483\) | −2659.41 | + | 432.197i | −0.250533 | + | 0.0407156i | ||||
\(484\) | −13721.4 | − | 23766.2i | −1.28864 | − | 2.23199i | ||||
\(485\) | −4356.23 | + | 7545.21i | −0.407848 | + | 0.706413i | ||||
\(486\) | −1264.81 | + | 3335.02i | −0.118051 | + | 0.311275i | ||||
\(487\) | −4479.33 | + | 4663.47i | −0.416792 | + | 0.433926i | −0.896190 | − | 0.443671i | \(-0.853676\pi\) |
0.479397 | + | 0.877598i | \(0.340855\pi\) | |||||||
\(488\) | 6558.35 | − | 11359.4i | 0.608366 | − | 1.05372i | ||||
\(489\) | 12030.5 | − | 2965.24i | 1.11255 | − | 0.274219i | ||||
\(490\) | −19587.3 | − | 3183.25i | −1.80585 | − | 0.293479i | ||||
\(491\) | 1240.96 | + | 784.738i | 0.114061 | + | 0.0721278i | 0.590278 | − | 0.807200i | \(-0.299018\pi\) |
−0.476217 | + | 0.879328i | \(0.657992\pi\) | |||||||
\(492\) | 20810.8 | − | 25488.6i | 1.90696 | − | 2.33560i | ||||
\(493\) | 10913.0 | − | 5727.60i | 0.996953 | − | 0.523241i | ||||
\(494\) | −2201.50 | + | 10090.7i | −0.200507 | + | 0.919036i | ||||
\(495\) | −1338.19 | − | 702.338i | −0.121510 | − | 0.0637732i | ||||
\(496\) | −3527.16 | + | 1502.78i | −0.319303 | + | 0.136042i | ||||
\(497\) | −349.836 | + | 56.8538i | −0.0315740 | + | 0.00513127i | ||||
\(498\) | 13176.1 | + | 5613.83i | 1.18562 | + | 0.505144i | ||||
\(499\) | −2885.03 | − | 7607.19i | −0.258821 | − | 0.682454i | −0.999939 | − | 0.0110794i | \(-0.996473\pi\) |
0.741118 | − | 0.671375i | \(-0.234296\pi\) | |||||||
\(500\) | 24771.7 | + | 4025.79i | 2.21565 | + | 0.360078i | ||||
\(501\) | 213.020 | + | 448.930i | 0.0189961 | + | 0.0400333i | ||||
\(502\) | 14444.5 | + | 7581.07i | 1.28424 | + | 0.674023i | ||||
\(503\) | 4970.50 | − | 17160.2i | 0.440604 | − | 1.52114i | −0.366321 | − | 0.930488i | \(-0.619383\pi\) |
0.806925 | − | 0.590653i | \(-0.201130\pi\) | |||||||
\(504\) | −86.9346 | + | 425.834i | −0.00768328 | + | 0.0376352i | ||||
\(505\) | 14799.1 | − | 11120.8i | 1.30406 | − | 0.979939i | ||||
\(506\) | 46430.5 | 4.07922 | ||||||||
\(507\) | 8335.34 | − | 6994.32i | 0.730148 | − | 0.612680i | ||||
\(508\) | 17100.4 | 1.49352 | ||||||||
\(509\) | 4181.36 | − | 3142.09i | 0.364117 | − | 0.273616i | −0.402898 | − | 0.915245i | \(-0.631997\pi\) |
0.767016 | + | 0.641628i | \(0.221741\pi\) | |||||||
\(510\) | −7895.21 | + | 38673.3i | −0.685502 | + | 3.35781i | ||||
\(511\) | −847.023 | + | 2924.26i | −0.0733270 | + | 0.253154i | ||||
\(512\) | 22035.3 | + | 11565.0i | 1.90202 | + | 0.998257i | ||||
\(513\) | −2671.09 | − | 5629.20i | −0.229886 | − | 0.484474i | ||||
\(514\) | −37857.2 | − | 6152.40i | −3.24866 | − | 0.527958i | ||||
\(515\) | 6664.09 | + | 17571.8i | 0.570204 | + | 1.50350i | ||||
\(516\) | 10454.6 | + | 4454.28i | 0.891933 | + | 0.380017i | ||||
\(517\) | −24890.2 | + | 4045.05i | −2.11735 | + | 0.344103i | ||||
\(518\) | −1294.64 | + | 551.594i | −0.109813 | + | 0.0467870i | ||||
\(519\) | −12575.0 | − | 6599.85i | −1.06354 | − | 0.558191i | ||||
\(520\) | 13114.2 | − | 26706.3i | 1.10596 | − | 2.25221i | ||||
\(521\) | −17020.3 | + | 8932.96i | −1.43124 | + | 0.751171i | −0.989303 | − | 0.145876i | \(-0.953400\pi\) |
−0.441934 | + | 0.897048i | \(0.645708\pi\) | |||||||
\(522\) | 743.875 | − | 911.082i | 0.0623727 | − | 0.0763927i | ||||
\(523\) | 6303.38 | + | 3986.01i | 0.527012 | + | 0.333262i | 0.771333 | − | 0.636432i | \(-0.219591\pi\) |
−0.244320 | + | 0.969695i | \(0.578565\pi\) | |||||||
\(524\) | −15098.3 | − | 2453.71i | −1.25872 | − | 0.204562i | ||||
\(525\) | 130.724 | − | 32.2205i | 0.0108671 | − | 0.00267851i | ||||
\(526\) | −184.948 | + | 320.340i | −0.0153311 | + | 0.0265542i | ||||
\(527\) | −2640.06 | + | 2748.59i | −0.218222 | + | 0.227193i | ||||
\(528\) | −12499.9 | + | 32959.5i | −1.03028 | + | 2.71662i | ||||
\(529\) | −8349.78 | + | 14462.3i | −0.686265 | + | 1.18865i | ||||
\(530\) | 4344.88 | + | 7525.56i | 0.356094 | + | 0.616773i | ||||
\(531\) | 1025.61 | − | 166.678i | 0.0838189 | − | 0.0136219i | ||||
\(532\) | −1447.58 | − | 2097.18i | −0.117971 | − | 0.170910i | ||||
\(533\) | −8545.16 | + | 14352.3i | −0.694432 | + | 1.16636i | ||||
\(534\) | 5951.99 | − | 8622.95i | 0.482337 | − | 0.698785i | ||||
\(535\) | −992.818 | + | 2092.32i | −0.0802304 | + | 0.169082i | ||||
\(536\) | 27205.8 | − | 20443.8i | 2.19237 | − | 1.64746i | ||||
\(537\) | 569.801 | − | 14139.5i | 0.0457891 | − | 1.13624i | ||||
\(538\) | −12309.9 | + | 17834.0i | −0.986467 | + | 1.42914i | ||||
\(539\) | −17559.6 | + | 1417.56i | −1.40324 | + | 0.113281i | ||||
\(540\) | 6288.86 | + | 30804.9i | 0.501166 | + | 2.45487i | ||||
\(541\) | 5105.62 | − | 2679.64i | 0.405745 | − | 0.212951i | −0.249489 | − | 0.968378i | \(-0.580263\pi\) |
0.655233 | + | 0.755426i | \(0.272570\pi\) | |||||||
\(542\) | −35710.8 | − | 26834.9i | −2.83009 | − | 2.12668i | ||||
\(543\) | 4911.91 | − | 6016.00i | 0.388196 | − | 0.475453i | ||||
\(544\) | −33885.8 | − | 2735.55i | −2.67067 | − | 0.215598i | ||||
\(545\) | 1433.17 | + | 11803.2i | 0.112643 | + | 0.927695i | ||||
\(546\) | −205.923 | + | 3831.19i | −0.0161405 | + | 0.300293i | ||||
\(547\) | 496.362 | − | 4087.91i | 0.0387987 | − | 0.319536i | −0.960368 | − | 0.278734i | \(-0.910085\pi\) |
0.999167 | − | 0.0408028i | \(-0.0129915\pi\) | |||||||
\(548\) | −1390.66 | + | 6811.89i | −0.108405 | + | 0.531003i | ||||
\(549\) | −164.113 | − | 566.585i | −0.0127581 | − | 0.0440460i | ||||
\(550\) | −2312.64 | + | 186.695i | −0.179293 | + | 0.0144740i | ||||
\(551\) | 474.561 | + | 3908.36i | 0.0366914 | + | 0.302181i | ||||
\(552\) | −29237.9 | − | 35809.9i | −2.25443 | − | 2.76118i | ||||
\(553\) | 2095.63 | + | 892.865i | 0.161149 | + | 0.0686591i | ||||
\(554\) | 37611.1 | + | 9270.30i | 2.88437 | + | 0.710934i | ||||
\(555\) | −3375.17 | + | 3513.93i | −0.258141 | + | 0.268753i | ||||
\(556\) | −16836.4 | − | 5620.80i | −1.28421 | − | 0.428732i | ||||
\(557\) | −2428.06 | − | 810.605i | −0.184704 | − | 0.0616632i | 0.222812 | − | 0.974862i | \(-0.428477\pi\) |
−0.407515 | + | 0.913198i | \(0.633605\pi\) | |||||||
\(558\) | −128.972 | + | 340.072i | −0.00978466 | + | 0.0258000i | ||||
\(559\) | −5581.96 | − | 1455.56i | −0.422347 | − | 0.110132i | ||||
\(560\) | 1763.53 | + | 4650.06i | 0.133077 | + | 0.350894i | ||||
\(561\) | 1410.93 | + | 35011.8i | 0.106184 | + | 2.63494i | ||||
\(562\) | −6550.03 | − | 528.773i | −0.491630 | − | 0.0396885i | ||||
\(563\) | −2622.27 | − | 12844.7i | −0.196297 | − | 0.961527i | −0.951879 | − | 0.306473i | \(-0.900851\pi\) |
0.755582 | − | 0.655054i | \(-0.227354\pi\) | |||||||
\(564\) | 32919.2 | + | 29163.9i | 2.45771 | + | 2.17734i | ||||
\(565\) | −6187.06 | + | 21360.2i | −0.460693 | + | 1.59050i | ||||
\(566\) | 28804.6 | − | 18214.9i | 2.13913 | − | 1.35270i | ||||
\(567\) | −1193.53 | − | 1729.12i | −0.0884010 | − | 0.128071i | ||||
\(568\) | −3846.14 | − | 4710.66i | −0.284120 | − | 0.347984i | ||||
\(569\) | −536.895 | − | 13322.9i | −0.0395568 | − | 0.981591i | −0.890122 | − | 0.455722i | \(-0.849381\pi\) |
0.850565 | − | 0.525869i | \(-0.176260\pi\) | |||||||
\(570\) | −10656.8 | − | 6738.96i | −0.783096 | − | 0.495200i | ||||
\(571\) | 12694.2 | − | 11246.1i | 0.930360 | − | 0.824227i | −0.0543332 | − | 0.998523i | \(-0.517303\pi\) |
0.984693 | + | 0.174296i | \(0.0557648\pi\) | |||||||
\(572\) | 9861.71 | − | 45201.8i | 0.720872 | − | 3.30417i | ||||
\(573\) | 1483.39 | + | 1314.17i | 0.108149 | + | 0.0958120i | ||||
\(574\) | −1638.63 | − | 5657.21i | −0.119155 | − | 0.411372i | ||||
\(575\) | 618.381 | − | 1303.21i | 0.0448491 | − | 0.0945176i | ||||
\(576\) | −556.979 | + | 185.947i | −0.0402908 | + | 0.0134510i | ||||
\(577\) | −10117.0 | −0.729939 | −0.364969 | − | 0.931020i | \(-0.618921\pi\) | ||||
−0.364969 | + | 0.931020i | \(0.618921\pi\) | |||||||
\(578\) | −63379.3 | + | 21159.1i | −4.56095 | + | 1.52267i | ||||
\(579\) | −461.734 | + | 11457.8i | −0.0331416 | + | 0.822401i | ||||
\(580\) | 2394.62 | − | 19721.4i | 0.171433 | − | 1.41188i | ||||
\(581\) | 1516.11 | − | 958.732i | 0.108260 | − | 0.0684594i | ||||
\(582\) | 17735.1 | − | 7556.21i | 1.26313 | − | 0.538170i | ||||
\(583\) | 5343.89 | + | 5563.58i | 0.379625 | + | 0.395232i | ||||
\(584\) | −50720.2 | + | 12501.4i | −3.59386 | + | 0.885808i | ||||
\(585\) | −457.630 | − | 1257.31i | −0.0323431 | − | 0.0888604i | ||||
\(586\) | −26086.6 | − | 6429.77i | −1.83895 | − | 0.453262i | ||||
\(587\) | 12857.8 | + | 22270.3i | 0.904085 | + | 1.56592i | 0.822141 | + | 0.569283i | \(0.192779\pi\) |
0.0819432 | + | 0.996637i | \(0.473887\pi\) | |||||||
\(588\) | 21283.7 | + | 22158.7i | 1.49273 | + | 1.55410i | ||||
\(589\) | −521.908 | − | 1099.90i | −0.0365107 | − | 0.0769448i | ||||
\(590\) | 18773.5 | − | 16631.9i | 1.30999 | − | 1.16055i | ||||
\(591\) | 3918.68 | + | 2944.70i | 0.272746 | + | 0.204955i | ||||
\(592\) | −9150.90 | − | 6876.46i | −0.635304 | − | 0.477400i | ||||
\(593\) | 17123.2 | − | 15169.9i | 1.18578 | − | 1.05051i | 0.188118 | − | 0.982146i | \(-0.439761\pi\) |
0.997661 | − | 0.0683618i | \(-0.0217772\pi\) | |||||||
\(594\) | 17099.6 | + | 36036.5i | 1.18115 | + | 2.48922i | ||||
\(595\) | 3424.57 | + | 3565.35i | 0.235956 | + | 0.245656i | ||||
\(596\) | −10882.8 | − | 18849.6i | −0.747949 | − | 1.29549i | ||||
\(597\) | 13591.8 | + | 3350.07i | 0.931782 | + | 0.229664i | ||||
\(598\) | 30399.9 | + | 27669.0i | 2.07884 | + | 1.89209i | ||||
\(599\) | 20377.2 | − | 5022.52i | 1.38996 | − | 0.342595i | 0.527862 | − | 0.849330i | \(-0.322994\pi\) |
0.862102 | + | 0.506735i | \(0.169148\pi\) | |||||||
\(600\) | 1600.29 | + | 1666.08i | 0.108886 | + | 0.113362i | ||||
\(601\) | −21386.1 | + | 9111.78i | −1.45151 | + | 0.618431i | −0.966636 | − | 0.256152i | \(-0.917545\pi\) |
−0.484875 | + | 0.874583i | \(0.661135\pi\) | |||||||
\(602\) | 1719.15 | − | 1087.12i | 0.116391 | − | 0.0736011i | ||||
\(603\) | 184.471 | − | 1519.26i | 0.0124581 | − | 0.102602i | ||||
\(604\) | 1306.14 | − | 32411.6i | 0.0879905 | − | 2.18346i | ||||
\(605\) | −16131.7 | + | 5385.54i | −1.08404 | + | 0.361907i | ||||
\(606\) | −40960.2 | −2.74570 | ||||||||
\(607\) | 17634.2 | − | 5887.16i | 1.17916 | − | 0.393661i | 0.341515 | − | 0.939876i | \(-0.389060\pi\) |
0.837645 | + | 0.546215i | \(0.183932\pi\) | |||||||
\(608\) | 4655.53 | − | 9811.32i | 0.310537 | − | 0.654443i | ||||
\(609\) | 406.908 | + | 1404.81i | 0.0270751 | + | 0.0934742i | ||||
\(610\) | −10657.6 | − | 9441.83i | −0.707401 | − | 0.626703i | ||||
\(611\) | −18707.2 | − | 12184.2i | −1.23864 | − | 0.806743i | ||||
\(612\) | −4607.43 | + | 4081.83i | −0.304321 | + | 0.269605i | ||||
\(613\) | −4670.86 | − | 2953.67i | −0.307756 | − | 0.194613i | 0.371655 | − | 0.928371i | \(-0.378790\pi\) |
−0.679411 | + | 0.733758i | \(0.737765\pi\) | |||||||
\(614\) | −1701.70 | − | 42227.2i | −0.111848 | − | 2.77549i | ||||
\(615\) | −12896.9 | − | 15795.8i | −0.845613 | − | 1.03569i | ||||
\(616\) | 5290.50 | + | 7664.61i | 0.346039 | + | 0.501325i | ||||
\(617\) | 24041.4 | − | 15202.9i | 1.56867 | − | 0.991969i | 0.585207 | − | 0.810884i | \(-0.301013\pi\) |
0.983467 | − | 0.181085i | \(-0.0579611\pi\) | |||||||
\(618\) | 11569.0 | − | 39940.7i | 0.753030 | − | 2.59976i | ||||
\(619\) | −17531.9 | − | 15531.9i | −1.13839 | − | 1.00853i | −0.999835 | − | 0.0181738i | \(-0.994215\pi\) |
−0.138558 | − | 0.990354i | \(-0.544247\pi\) | |||||||
\(620\) | 1228.79 | + | 6019.01i | 0.0795958 | + | 0.389886i | ||||
\(621\) | −24718.4 | − | 1995.47i | −1.59729 | − | 0.128946i | ||||
\(622\) | 1132.46 | + | 28101.7i | 0.0730024 | + | 1.81154i | ||||
\(623\) | −465.347 | − | 1227.02i | −0.0299257 | − | 0.0789076i | ||||
\(624\) | −27825.5 | + | 14130.9i | −1.78511 | + | 0.906555i | ||||
\(625\) | 5891.47 | − | 15534.5i | 0.377054 | − | 0.994210i | ||||
\(626\) | 29194.5 | + | 9746.56i | 1.86397 | + | 0.622286i | ||||
\(627\) | −10617.3 | − | 3544.59i | −0.676261 | − | 0.225769i | ||||
\(628\) | 15655.0 | − | 16298.6i | 0.994752 | − | 1.03565i | ||||
\(629\) | −11047.8 | − | 2723.04i | −0.700326 | − | 0.172615i | ||||
\(630\) | 434.033 | + | 184.924i | 0.0274481 | + | 0.0116945i | ||||
\(631\) | 4112.05 | + | 5036.34i | 0.259426 | + | 0.317740i | 0.887851 | − | 0.460131i | \(-0.152197\pi\) |
−0.628425 | + | 0.777870i | \(0.716300\pi\) | |||||||
\(632\) | 4711.21 | + | 38800.3i | 0.296522 | + | 2.44208i | ||||
\(633\) | −20305.9 | + | 1639.26i | −1.27502 | + | 0.102930i | ||||
\(634\) | −9993.62 | − | 34502.0i | −0.626021 | − | 2.16128i | ||||
\(635\) | 2119.76 | − | 10383.3i | 0.132473 | − | 0.648894i | ||||
\(636\) | 1621.73 | − | 13356.1i | 0.101110 | − | 0.832713i | ||||
\(637\) | −12341.7 | − | 9536.03i | −0.767657 | − | 0.593142i | ||||
\(638\) | −3038.00 | − | 25020.2i | −0.188520 | − | 1.55260i | ||||
\(639\) | −272.600 | − | 22.0065i | −0.0168762 | − | 0.00136239i | ||||
\(640\) | 5907.19 | − | 7234.99i | 0.364847 | − | 0.446857i | ||||
\(641\) | 2832.36 | + | 2128.38i | 0.174526 | + | 0.131148i | 0.684416 | − | 0.729092i | \(-0.260057\pi\) |
−0.509890 | + | 0.860240i | \(0.670314\pi\) | |||||||
\(642\) | 4537.38 | − | 2381.40i | 0.278935 | − | 0.146396i | ||||
\(643\) | 3055.91 | + | 14968.8i | 0.187424 | + | 0.918061i | 0.959322 | + | 0.282315i | \(0.0911023\pi\) |
−0.771898 | + | 0.635746i | \(0.780693\pi\) | |||||||
\(644\) | −10109.3 | + | 816.109i | −0.618576 | + | 0.0499366i | ||||
\(645\) | 4000.57 | − | 5795.83i | 0.244221 | − | 0.353815i | ||||
\(646\) | 1185.65 | − | 29421.7i | 0.0722120 | − | 1.79192i | ||||
\(647\) | −15999.4 | + | 12022.7i | −0.972179 | + | 0.730545i | −0.963025 | − | 0.269413i | \(-0.913170\pi\) |
−0.00915397 | + | 0.999958i | \(0.502914\pi\) | |||||||
\(648\) | 15454.6 | − | 32569.8i | 0.936902 | − | 1.97448i | ||||
\(649\) | 12648.4 | − | 18324.3i | 0.765011 | − | 1.10831i | ||||
\(650\) | −1625.43 | − | 1255.92i | −0.0980843 | − | 0.0757863i | ||||
\(651\) | −256.912 | − | 372.202i | −0.0154673 | − | 0.0224082i | ||||
\(652\) | 46037.8 | − | 7481.87i | 2.76531 | − | 0.449406i | ||||
\(653\) | 9794.22 | + | 16964.1i | 0.586949 | + | 1.01663i | 0.994629 | + | 0.103500i | \(0.0330043\pi\) |
−0.407681 | + | 0.913125i | \(0.633662\pi\) | |||||||
\(654\) | 13154.1 | − | 22783.6i | 0.786495 | − | 1.36225i | ||||
\(655\) | −3361.46 | + | 8863.45i | −0.200524 | + | 0.528738i | ||||
\(656\) | 33186.6 | − | 34550.9i | 1.97518 | − | 2.05638i | ||||
\(657\) | −1174.61 | + | 2034.48i | −0.0697500 | + | 0.120811i | ||||
\(658\) | 7643.20 | − | 1883.88i | 0.452831 | − | 0.111613i | ||||
\(659\) | −2352.62 | − | 382.337i | −0.139067 | − | 0.0226005i | 0.0904794 | − | 0.995898i | \(-0.471160\pi\) |
−0.229546 | + | 0.973298i | \(0.573724\pi\) | |||||||
\(660\) | 47737.5 | + | 30187.4i | 2.81543 | + | 1.78037i | ||||
\(661\) | −10550.8 | + | 12922.4i | −0.620847 | + | 0.760400i | −0.985302 | − | 0.170821i | \(-0.945358\pi\) |
0.364455 | + | 0.931221i | \(0.381255\pi\) | |||||||
\(662\) | 5785.14 | − | 3036.27i | 0.339646 | − | 0.178260i | ||||
\(663\) | −19940.6 | + | 23764.5i | −1.16806 | + | 1.39206i | ||||
\(664\) | 27253.4 | + | 14303.7i | 1.59283 | + | 0.835981i | ||||
\(665\) | −1452.84 | + | 618.998i | −0.0847200 | + | 0.0360958i | ||||
\(666\) | −1071.82 | + | 174.187i | −0.0623605 | + | 0.0101346i | ||||
\(667\) | 14415.8 | + | 6142.00i | 0.836855 | + | 0.356551i | ||||
\(668\) | 663.292 | + | 1748.96i | 0.0384185 | + | 0.101301i | ||||
\(669\) | 14818.6 | + | 2408.26i | 0.856383 | + | 0.139176i | ||||
\(670\) | −15836.5 | − | 33374.6i | −0.913158 | − | 1.92444i | ||||
\(671\) | −11192.3 | − | 5874.16i | −0.643924 | − | 0.337958i | ||||
\(672\) | 1122.40 | − | 3874.97i | 0.0644308 | − | 0.222441i | ||||
\(673\) | −904.790 | + | 4431.95i | −0.0518233 | + | 0.253847i | −0.997447 | − | 0.0714166i | \(-0.977248\pi\) |
0.945623 | + | 0.325264i | \(0.105453\pi\) | |||||||
\(674\) | −15603.7 | + | 11725.4i | −0.891741 | + | 0.670100i | ||||
\(675\) | 1239.21 | 0.0706626 | ||||||||
\(676\) | 33393.7 | − | 23718.7i | 1.89996 | − | 1.34949i | ||||
\(677\) | −13900.2 | −0.789110 | −0.394555 | − | 0.918872i | \(-0.629101\pi\) | ||||
−0.394555 | + | 0.918872i | \(0.629101\pi\) | |||||||
\(678\) | 39337.0 | − | 29559.8i | 2.22821 | − | 1.67439i | ||||
\(679\) | 482.956 | − | 2365.68i | 0.0272963 | − | 0.133706i | ||||
\(680\) | −23599.7 | + | 81475.6i | −1.33089 | + | 4.59478i | ||||
\(681\) | 883.640 | + | 463.770i | 0.0497227 | + | 0.0260965i | ||||
\(682\) | 3341.11 | + | 7041.23i | 0.187592 | + | 0.395341i | ||||
\(683\) | 27014.6 | + | 4390.30i | 1.51345 | + | 0.245959i | 0.859718 | − | 0.510770i | \(-0.170640\pi\) |
0.653729 | + | 0.756729i | \(0.273204\pi\) | |||||||
\(684\) | −697.269 | − | 1838.55i | −0.0389777 | − | 0.102776i | ||||
\(685\) | 3963.77 | + | 1688.80i | 0.221092 | + | 0.0941984i | ||||
\(686\) | 11023.7 | − | 1791.52i | 0.613536 | − | 0.0997093i | ||||
\(687\) | −15168.6 | + | 6462.76i | −0.842387 | + | 0.358908i | ||||
\(688\) | 14649.8 | + | 7688.82i | 0.811801 | + | 0.426066i | ||||
\(689\) | 183.398 | + | 6827.25i | 0.0101407 | + | 0.377500i | ||||
\(690\) | −44435.3 | + | 23321.4i | −2.45163 | + | 1.28671i | ||||
\(691\) | 4486.82 | − | 5495.35i | 0.247014 | − | 0.302537i | −0.636184 | − | 0.771537i | \(-0.719488\pi\) |
0.883198 | + | 0.469000i | \(0.155386\pi\) | |||||||
\(692\) | −45183.5 | − | 28572.3i | −2.48211 | − | 1.56959i | ||||
\(693\) | 413.402 | + | 67.1844i | 0.0226607 | + | 0.00368272i | ||||
\(694\) | 38785.7 | − | 9559.81i | 2.12145 | − | 0.522889i | ||||
\(695\) | −5499.96 | + | 9526.21i | −0.300181 | + | 0.519928i | ||||
\(696\) | −17384.0 | + | 18098.7i | −0.946751 | + | 0.985672i | ||||
\(697\) | 16887.0 | − | 44527.5i | 0.917708 | − | 2.41980i | ||||
\(698\) | −5632.49 | + | 9755.75i | −0.305434 | + | 0.529027i | ||||
\(699\) | −1129.78 | − | 1956.84i | −0.0611336 | − | 0.105886i | ||||
\(700\) | 500.249 | − | 81.2985i | 0.0270109 | − | 0.00438970i | ||||
\(701\) | 4474.80 | + | 6482.87i | 0.241100 | + | 0.349293i | 0.924789 | − | 0.380480i | \(-0.124241\pi\) |
−0.683690 | + | 0.729773i | \(0.739626\pi\) | |||||||
\(702\) | −10279.2 | + | 33784.6i | −0.552656 | + | 1.81641i | ||||
\(703\) | 2064.79 | − | 2991.36i | 0.110775 | − | 0.160486i | ||||
\(704\) | −5394.15 | + | 11367.9i | −0.288778 | + | 0.608587i | ||||
\(705\) | 21788.9 | − | 16373.3i | 1.16399 | − | 0.874685i | ||||
\(706\) | −749.332 | + | 18594.5i | −0.0399455 | + | 0.991237i | ||||
\(707\) | −2914.25 | + | 4222.03i | −0.155024 | + | 0.224591i | ||||
\(708\) | −38706.8 | + | 3124.74i | −2.05465 | + | 0.165869i | ||||
\(709\) | 3201.62 | + | 15682.6i | 0.169590 | + | 0.830708i | 0.972191 | + | 0.234191i | \(0.0752441\pi\) |
−0.802600 | + | 0.596517i | \(0.796551\pi\) | |||||||
\(710\) | −5845.29 | + | 3067.85i | −0.308972 | + | 0.162161i | ||||
\(711\) | 1405.19 | + | 1055.93i | 0.0741193 | + | 0.0556970i | ||||
\(712\) | 14240.7 | − | 17441.7i | 0.749569 | − | 0.918055i | ||||
\(713\) | −4829.76 | − | 389.898i | −0.253683 | − | 0.0204794i | ||||
\(714\) | −1318.50 | − | 10858.8i | −0.0691085 | − | 0.569160i | ||||
\(715\) | −26223.9 | − | 11591.2i | −1.37164 | − | 0.606275i | ||||
\(716\) | 6420.82 | − | 52880.2i | 0.335136 | − | 2.76009i | ||||
\(717\) | 4967.81 | − | 24333.9i | 0.258753 | − | 1.26746i | ||||
\(718\) | −1544.10 | − | 5330.87i | −0.0802583 | − | 0.277084i | ||||
\(719\) | −28196.0 | + | 2276.22i | −1.46249 | + | 0.118065i | −0.785928 | − | 0.618318i | \(-0.787814\pi\) |
−0.676566 | + | 0.736382i | \(0.736532\pi\) | |||||||
\(720\) | 462.562 | + | 3809.54i | 0.0239426 | + | 0.197185i | ||||
\(721\) | −3293.83 | − | 4034.21i | −0.170137 | − | 0.208380i | ||||
\(722\) | −23917.8 | − | 10190.4i | −1.23286 | − | 0.525274i | ||||
\(723\) | −33912.4 | − | 8358.66i | −1.74442 | − | 0.429961i | ||||
\(724\) | 20252.3 | − | 21084.9i | 1.03960 | − | 1.08234i | ||||
\(725\) | −742.728 | − | 247.959i | −0.0380472 | − | 0.0127020i | ||||
\(726\) | 35693.9 | + | 11916.4i | 1.82469 | + | 0.609170i | ||||
\(727\) | −12078.4 | + | 31848.2i | −0.616182 | + | 1.62474i | 0.154847 | + | 0.987938i | \(0.450511\pi\) |
−0.771029 | + | 0.636800i | \(0.780258\pi\) | |||||||
\(728\) | −1103.61 | + | 8171.07i | −0.0561849 | + | 0.415989i | ||||
\(729\) | −7496.14 | − | 19765.7i | −0.380843 | − | 1.00420i | ||||
\(730\) | 2283.30 | + | 56659.5i | 0.115765 | + | 2.87269i | ||||
\(731\) | 16393.1 | + | 1323.39i | 0.829440 | + | 0.0669593i | ||||
\(732\) | 4409.60 | + | 21599.6i | 0.222655 | + | 1.09064i | ||||
\(733\) | −6401.80 | − | 5671.50i | −0.322586 | − | 0.285787i | 0.486251 | − | 0.873819i | \(-0.338364\pi\) |
−0.808837 | + | 0.588033i | \(0.799903\pi\) | |||||||
\(734\) | −9366.56 | + | 32337.1i | −0.471016 | + | 1.62614i | ||||
\(735\) | 16093.0 | − | 10176.6i | 0.807618 | − | 0.510707i | ||||
\(736\) | −24553.3 | − | 35571.5i | −1.22968 | − | 1.78150i | ||||
\(737\) | −20740.7 | − | 25402.8i | −1.03663 | − | 1.26964i | ||||
\(738\) | −182.998 | − | 4541.04i | −0.00912770 | − | 0.226502i | ||||
\(739\) | 11916.3 | + | 7535.44i | 0.593166 | + | 0.375095i | 0.797062 | − | 0.603897i | \(-0.206386\pi\) |
−0.203896 | + | 0.978992i | \(0.565361\pi\) | |||||||
\(740\) | −13728.4 | + | 12162.3i | −0.681981 | + | 0.604182i | ||||
\(741\) | −4839.30 | − | 8647.90i | −0.239914 | − | 0.428730i | ||||
\(742\) | −1802.55 | − | 1596.92i | −0.0891830 | − | 0.0790092i | ||||
\(743\) | 5829.94 | + | 20127.3i | 0.287860 | + | 0.993808i | 0.965929 | + | 0.258809i | \(0.0833300\pi\) |
−0.678069 | + | 0.734999i | \(0.737183\pi\) | |||||||
\(744\) | 3326.67 | − | 7010.81i | 0.163927 | − | 0.345469i | ||||
\(745\) | −12794.4 | + | 4271.41i | −0.629197 | + | 0.210057i | ||||
\(746\) | −46014.6 | −2.25833 | ||||||||
\(747\) | 1312.93 | − | 438.322i | 0.0643075 | − | 0.0214690i | ||||
\(748\) | −5311.18 | + | 131796.i | −0.259620 | + | 6.44241i | ||||
\(749\) | 77.3615 | − | 637.129i | 0.00377400 | − | 0.0310817i | ||||
\(750\) | −29085.8 | + | 18392.7i | −1.41608 | + | 0.895477i | ||||
\(751\) | 2414.23 | − | 1028.61i | 0.117306 | − | 0.0499792i | −0.332516 | − | 0.943097i | \(-0.607898\pi\) |
0.449822 | + | 0.893118i | \(0.351487\pi\) | |||||||
\(752\) | 44355.6 | + | 46179.1i | 2.15091 | + | 2.23933i | ||||
\(753\) | −15197.6 | + | 3745.88i | −0.735501 | + | 0.181285i | ||||
\(754\) | 12921.0 | − | 18192.2i | 0.624079 | − | 0.878674i | ||||
\(755\) | −19518.3 | − | 4810.83i | −0.940853 | − | 0.231900i | ||||
\(756\) | −4356.50 | − | 7545.68i | −0.209583 | − | 0.363008i | ||||
\(757\) | 4179.37 | + | 4351.19i | 0.200663 | + | 0.208912i | 0.813929 | − | 0.580964i | \(-0.197324\pi\) |
−0.613266 | + | 0.789876i | \(0.710145\pi\) | |||||||
\(758\) | −6555.88 | − | 13816.2i | −0.314143 | − | 0.662042i | ||||
\(759\) | −33346.3 | + | 29542.3i | −1.59472 | + | 1.41280i | ||||
\(760\) | −21662.3 | − | 16278.1i | −1.03391 | − | 0.776935i | ||||
\(761\) | −24556.8 | − | 18453.2i | −1.16975 | − | 0.879013i | −0.175335 | − | 0.984509i | \(-0.556101\pi\) |
−0.994420 | + | 0.105495i | \(0.966357\pi\) | |||||||
\(762\) | −17551.5 | + | 15549.2i | −0.834413 | + | 0.739225i | ||||
\(763\) | −1412.56 | − | 2976.90i | −0.0670223 | − | 0.141246i | ||||
\(764\) | 5167.79 | + | 5380.23i | 0.244717 | + | 0.254778i | ||||
\(765\) | 1907.33 | + | 3303.60i | 0.0901436 | + | 0.156133i | ||||
\(766\) | 4436.92 | + | 1093.60i | 0.209285 | + | 0.0515842i | ||||
\(767\) | 19201.3 | − | 4460.23i | 0.903935 | − | 0.209973i | ||||
\(768\) | −29209.3 | + | 7199.45i | −1.37240 | + | 0.338265i | ||||
\(769\) | −24487.6 | − | 25494.3i | −1.14830 | − | 1.19551i | −0.977664 | − | 0.210175i | \(-0.932597\pi\) |
−0.170638 | − | 0.985334i | \(-0.554583\pi\) | |||||||
\(770\) | 9300.68 | − | 3962.65i | 0.435290 | − | 0.185460i | ||||
\(771\) | 31103.6 | − | 19668.7i | 1.45288 | − | 0.918744i | ||||
\(772\) | −5203.06 | + | 42851.1i | −0.242568 | + | 1.99772i | ||||
\(773\) | −631.559 | + | 15672.0i | −0.0293863 | + | 0.729213i | 0.915597 | + | 0.402096i | \(0.131718\pi\) |
−0.944984 | + | 0.327117i | \(0.893923\pi\) | |||||||
\(774\) | 1488.76 | − | 497.021i | 0.0691375 | − | 0.0230815i | ||||
\(775\) | 242.131 | 0.0112227 | ||||||||
\(776\) | 39296.4 | − | 13119.1i | 1.81786 | − | 0.606891i | ||||
\(777\) | 578.846 | − | 1219.89i | 0.0267259 | − | 0.0563235i | ||||
\(778\) | 17184.2 | + | 59326.9i | 0.791883 | + | 2.73390i | ||||
\(779\) | 11386.8 | + | 10087.8i | 0.523715 | + | 0.463971i | ||||
\(780\) | 13266.4 | + | 48212.8i | 0.608989 | + | 2.21320i | ||||
\(781\) | −4386.58 | + | 3886.17i | −0.200979 | + | 0.178051i | ||||
\(782\) | −99051.9 | − | 62636.6i | −4.52952 | − | 2.86430i | ||||
\(783\) | 542.044 | + | 13450.7i | 0.0247395 | + | 0.613905i | ||||
\(784\) | 28290.9 | + | 34650.1i | 1.28876 | + | 1.57845i | ||||
\(785\) | −7955.87 | − | 11526.1i | −0.361729 | − | 0.524054i | ||||
\(786\) | 17727.7 | − | 11210.3i | 0.804486 | − | 0.508726i | ||||
\(787\) | −485.363 | + | 1675.67i | −0.0219839 | + | 0.0758971i | −0.970760 | − | 0.240052i | \(-0.922836\pi\) |
0.948776 | + | 0.315949i | \(0.102323\pi\) | |||||||
\(788\) | 13811.4 | + | 12235.8i | 0.624378 | + | 0.553150i | ||||
\(789\) | −70.9926 | − | 347.745i | −0.00320330 | − | 0.0156908i | ||||
\(790\) | 42290.3 | + | 3414.02i | 1.90458 | + | 0.153754i | ||||
\(791\) | −248.153 | − | 6157.85i | −0.0111546 | − | 0.276799i | ||||
\(792\) | 2548.33 | + | 6719.38i | 0.114332 | + | 0.301468i | ||||
\(793\) | −3827.49 | − | 10515.8i | −0.171398 | − | 0.470904i | ||||
\(794\) | −4812.31 | + | 12689.0i | −0.215091 | + | 0.567149i | ||||
\(795\) | −7908.77 | − | 2640.33i | −0.352824 | − | 0.117790i | ||||
\(796\) | 49983.0 | + | 16686.8i | 2.22563 | + | 0.743025i | ||||
\(797\) | −9565.41 | + | 9958.65i | −0.425124 | + | 0.442601i | −0.898972 | − | 0.438005i | \(-0.855685\pi\) |
0.473848 | + | 0.880607i | \(0.342865\pi\) | |||||||
\(798\) | 3392.72 | + | 836.230i | 0.150502 | + | 0.0370955i | ||||
\(799\) | 58556.2 | + | 24948.4i | 2.59270 | + | 1.10465i | ||||
\(800\) | 1366.00 | + | 1673.04i | 0.0603690 | + | 0.0739386i | ||||
\(801\) | −122.057 | − | 1005.23i | −0.00538411 | − | 0.0443421i | ||||
\(802\) | 64184.7 | − | 5181.52i | 2.82598 | − | 0.228137i | ||||
\(803\) | 14005.5 | + | 48352.6i | 0.615497 | + | 2.12494i | ||||
\(804\) | −11440.6 | + | 56039.8i | −0.501839 | + | 2.45817i | ||||
\(805\) | −757.613 | + | 6239.51i | −0.0331706 | + | 0.273185i | ||||
\(806\) | −2008.47 | + | 6601.22i | −0.0877735 | + | 0.288484i | ||||
\(807\) | −2506.25 | − | 20640.8i | −0.109324 | − | 0.900361i | ||||
\(808\) | −87739.6 | − | 7083.07i | −3.82013 | − | 0.308393i | ||||
\(809\) | 3681.78 | − | 4509.36i | 0.160006 | − | 0.195971i | −0.688380 | − | 0.725351i | \(-0.741678\pi\) |
0.848385 | + | 0.529379i | \(0.177575\pi\) | |||||||
\(810\) | −31285.0 | − | 23509.1i | −1.35709 | − | 1.01979i | ||||
\(811\) | 22072.0 | − | 11584.3i | 0.955677 | − | 0.501578i | 0.0865939 | − | 0.996244i | \(-0.472402\pi\) |
0.869083 | + | 0.494666i | \(0.164709\pi\) | |||||||
\(812\) | 1101.25 | + | 5394.26i | 0.0475938 | + | 0.233130i | ||||
\(813\) | 42721.6 | − | 3448.85i | 1.84294 | − | 0.148778i | ||||
\(814\) | −13218.2 | + | 19149.8i | −0.569161 | + | 0.824572i | ||||
\(815\) | 1163.88 | − | 28881.4i | 0.0500233 | − | 1.24132i | ||||
\(816\) | 71130.1 | − | 53450.8i | 3.05153 | − | 2.29308i | ||||
\(817\) | −2252.23 | + | 4746.47i | −0.0964449 | + | 0.203253i | ||||
\(818\) | −3592.07 | + | 5204.02i | −0.153538 | + | 0.222438i | ||||
\(819\) | 230.635 | + | 290.344i | 0.00984008 | + | 0.0123876i | ||||
\(820\) | −43605.9 | − | 63174.1i | −1.85705 | − | 2.69041i | ||||
\(821\) | 7088.79 | − | 1152.04i | 0.301340 | − | 0.0489726i | −0.00786124 | − | 0.999969i | \(-0.502502\pi\) |
0.309202 | + | 0.950997i | \(0.399938\pi\) | |||||||
\(822\) | −4766.66 | − | 8256.10i | −0.202258 | − | 0.350322i | ||||
\(823\) | 12182.9 | − | 21101.5i | 0.516003 | − | 0.893744i | −0.483824 | − | 0.875165i | \(-0.660753\pi\) |
0.999827 | − | 0.0185786i | \(-0.00591409\pi\) | |||||||
\(824\) | 31688.3 | − | 83555.3i | 1.33970 | − | 3.53251i | ||||
\(825\) | 1542.14 | − | 1605.54i | 0.0650795 | − | 0.0677549i | ||||
\(826\) | −3475.36 | + | 6019.49i | −0.146396 | + | 0.253565i | ||||
\(827\) | 28297.2 | − | 6974.62i | 1.18983 | − | 0.293266i | 0.405783 | − | 0.913969i | \(-0.366999\pi\) |
0.784046 | + | 0.620703i | \(0.213153\pi\) | |||||||
\(828\) | −7724.73 | − | 1255.39i | −0.324219 | − | 0.0526906i | ||||
\(829\) | −6994.67 | − | 4423.16i | −0.293046 | − | 0.185311i | 0.379850 | − | 0.925048i | \(-0.375976\pi\) |
−0.672896 | + | 0.739737i | \(0.734950\pi\) | |||||||
\(830\) | 21130.7 | − | 25880.5i | 0.883685 | − | 1.08232i | ||||
\(831\) | −32910.6 | + | 17272.8i | −1.37384 | + | 0.721045i | ||||
\(832\) | −10306.2 | + | 4228.55i | −0.429450 | + | 0.176200i | ||||
\(833\) | 39372.9 | + | 20664.5i | 1.63768 | + | 0.859522i | ||||
\(834\) | 22391.4 | − | 9540.10i | 0.929679 | − | 0.396099i | ||||
\(835\) | 1144.18 | − | 185.948i | 0.0474204 | − | 0.00770657i | ||||
\(836\) | −38763.8 | − | 16515.7i | −1.60368 | − | 0.683262i | ||||
\(837\) | −1476.10 | − | 3892.16i | −0.0609576 | − | 0.160732i | ||||
\(838\) | −21519.9 | − | 3497.32i | −0.887102 | − | 0.144168i | ||||
\(839\) | 16267.6 | + | 34283.2i | 0.669391 | + | 1.41071i | 0.899227 | + | 0.437483i | \(0.144130\pi\) |
−0.229835 | + | 0.973230i | \(0.573819\pi\) | |||||||
\(840\) | −8912.99 | − | 4677.90i | −0.366104 | − | 0.192146i | ||||
\(841\) | −4418.92 | + | 15255.9i | −0.181185 | + | 0.625523i | ||||
\(842\) | −925.993 | + | 4535.81i | −0.0379000 | + | 0.185647i | ||||
\(843\) | 5040.66 | − | 3787.81i | 0.205943 | − | 0.154756i | ||||
\(844\) | −76686.4 | −3.12755 | ||||||||
\(845\) | −10262.4 | − | 23216.7i | −0.417796 | − | 0.945181i | ||||
\(846\) | 6074.26 | 0.246853 | ||||||||
\(847\) | 3767.86 | − | 2831.36i | 0.152851 | − | 0.114860i | ||||
\(848\) | 3918.16 | − | 19192.4i | 0.158668 | − | 0.777205i | ||||
\(849\) | −9097.83 | + | 31409.4i | −0.367770 | + | 1.26969i | ||||
\(850\) | 5185.49 | + | 2721.56i | 0.209248 | + | 0.109822i | ||||
\(851\) | −6201.71 | − | 13069.8i | −0.249814 | − | 0.526473i | ||||
\(852\) | 10088.6 | + | 1639.55i | 0.405667 | + | 0.0659273i | ||||
\(853\) | −6020.81 | − | 15875.6i | −0.241675 | − | 0.637244i | 0.758216 | − | 0.652003i | \(-0.226071\pi\) |
−0.999891 | + | 0.0147590i | \(0.995302\pi\) | |||||||
\(854\) | 3630.13 | + | 1546.65i | 0.145457 | + | 0.0619736i | ||||
\(855\) | −1202.79 | + | 195.473i | −0.0481107 | + | 0.00781875i | ||||
\(856\) | 10131.2 | − | 4316.50i | 0.404529 | − | 0.172354i | ||||
\(857\) | 31179.6 | + | 16364.3i | 1.24279 | + | 0.652269i | 0.952462 | − | 0.304657i | \(-0.0985420\pi\) |
0.290332 | + | 0.956926i | \(0.406234\pi\) | |||||||
\(858\) | 30979.9 | + | 55361.4i | 1.23267 | + | 2.20281i | ||||
\(859\) | −31289.8 | + | 16422.2i | −1.24284 | + | 0.652290i | −0.952472 | − | 0.304626i | \(-0.901468\pi\) |
−0.290363 | + | 0.956916i | \(0.593776\pi\) | |||||||
\(860\) | 16766.2 | − | 20534.8i | 0.664792 | − | 0.814222i | ||||
\(861\) | 4776.37 | + | 3020.39i | 0.189057 | + | 0.119552i | ||||
\(862\) | −34332.0 | − | 5579.49i | −1.35656 | − | 0.220462i | ||||
\(863\) | 35150.6 | − | 8663.84i | 1.38649 | − | 0.341739i | 0.525687 | − | 0.850678i | \(-0.323808\pi\) |
0.860802 | + | 0.508939i | \(0.169962\pi\) | |||||||
\(864\) | 18565.9 | − | 32157.1i | 0.731048 | − | 1.26621i | ||||
\(865\) | −22950.0 | + | 23893.4i | −0.902106 | + | 0.939192i | ||||
\(866\) | −19724.7 | + | 52009.8i | −0.773987 | + | 2.04084i | ||||
\(867\) | 32056.0 | − | 55522.7i | 1.25569 | − | 2.17491i | ||||
\(868\) | −851.223 | − | 1474.36i | −0.0332862 | − | 0.0576533i | ||||
\(869\) | 37177.4 | − | 6041.92i | 1.45128 | − | 0.235855i | ||||
\(870\) | 15474.8 | + | 22419.1i | 0.603039 | + | 0.873653i | ||||
\(871\) | 1558.30 | − | 28992.1i | 0.0606211 | − | 1.12785i | ||||
\(872\) | 32117.0 | − | 46529.5i | 1.24727 | − | 1.80698i | ||||
\(873\) | 798.692 | − | 1683.21i | 0.0309641 | − | 0.0652554i | ||||
\(874\) | 29928.9 | − | 22490.1i | 1.15831 | − | 0.870410i | ||||
\(875\) | −173.553 | + | 4306.67i | −0.00670532 | + | 0.166391i | ||||
\(876\) | 49874.0 | − | 72255.0i | 1.92361 | − | 2.78684i | ||||
\(877\) | −9713.76 | + | 784.176i | −0.374014 | + | 0.0301935i | −0.266045 | − | 0.963961i | \(-0.585717\pi\) |
−0.107969 | + | 0.994154i | \(0.534435\pi\) | |||||||
\(878\) | −12120.8 | − | 59371.8i | −0.465898 | − | 2.28212i | ||||
\(879\) | 22826.4 | − | 11980.2i | 0.875900 | − | 0.459708i | ||||
\(880\) | 65740.1 | + | 49400.4i | 2.51829 | + | 1.89237i | ||||
\(881\) | −13079.5 | + | 16019.5i | −0.500183 | + | 0.612613i | −0.961561 | − | 0.274591i | \(-0.911458\pi\) |
0.461378 | + | 0.887203i | \(0.347355\pi\) | |||||||
\(882\) | 4229.79 | + | 341.464i | 0.161479 | + | 0.0130359i | ||||
\(883\) | −5789.37 | − | 47679.8i | −0.220643 | − | 1.81716i | −0.510263 | − | 0.860018i | \(-0.670452\pi\) |
0.289620 | − | 0.957142i | \(-0.406471\pi\) | |||||||
\(884\) | −82017.5 | + | 83126.9i | −3.12053 | + | 3.16274i | ||||
\(885\) | −2900.77 | + | 23890.0i | −0.110179 | + | 0.907405i | ||||
\(886\) | −5550.68 | + | 27189.0i | −0.210473 | + | 1.03096i | ||||
\(887\) | −3054.22 | − | 10544.4i | −0.115615 | − | 0.399150i | 0.881748 | − | 0.471720i | \(-0.156367\pi\) |
−0.997363 | + | 0.0725708i | \(0.976880\pi\) | |||||||
\(888\) | 23093.2 | − | 1864.27i | 0.872698 | − | 0.0704514i | ||||
\(889\) | 353.999 | + | 2915.44i | 0.0133552 | + | 0.109990i | ||||
\(890\) | −15458.6 | − | 18933.3i | −0.582216 | − | 0.713085i | ||||
\(891\) | −31960.6 | − | 13617.2i | −1.20171 | − | 0.512000i | ||||
\(892\) | 54871.6 | + | 13524.6i | 2.05968 | + | 0.507666i | ||||
\(893\) | −14084.8 | + | 14663.8i | −0.527804 | + | 0.549502i | ||||
\(894\) | 28309.7 | + | 9451.17i | 1.05908 | + | 0.353573i | ||||
\(895\) | −31312.7 | − | 10453.7i | −1.16946 | − | 0.390424i | ||||
\(896\) | −917.877 | + | 2420.24i | −0.0342233 | + | 0.0902395i | ||||
\(897\) | −39438.1 | − | 529.315i | −1.46801 | − | 0.0197027i | ||||
\(898\) | 24400.8 | + | 64339.6i | 0.906754 | + | 2.39091i | ||||
\(899\) | 105.911 | + | 2628.15i | 0.00392916 | + | 0.0975012i | ||||
\(900\) | 389.806 | + | 31.4684i | 0.0144373 | + | 0.00116550i | ||||
\(901\) | −3894.83 | − | 19078.1i | −0.144013 | − | 0.705421i | ||||
\(902\) | −72895.1 | − | 64579.4i | −2.69084 | − | 2.38388i | ||||
\(903\) | −542.988 | + | 1874.61i | −0.0200105 | + | 0.0690844i | ||||
\(904\) | 89374.3 | − | 56516.9i | 3.28821 | − | 2.07934i | ||||
\(905\) | −10292.2 | − | 14910.8i | −0.378037 | − | 0.547681i | ||||
\(906\) | 28131.1 | + | 34454.3i | 1.03156 | + | 1.26343i | ||||
\(907\) | 1385.58 | + | 34382.8i | 0.0507248 | + | 1.25872i | 0.801431 | + | 0.598087i | \(0.204072\pi\) |
−0.750707 | + | 0.660636i | \(0.770287\pi\) | |||||||
\(908\) | 3175.04 | + | 2007.77i | 0.116043 | + | 0.0733814i | ||||
\(909\) | −2963.05 | + | 2625.03i | −0.108117 | + | 0.0957831i | ||||
\(910\) | 8450.97 | + | 2947.98i | 0.307854 | + | 0.107390i | ||||
\(911\) | 11811.4 | + | 10464.0i | 0.429561 | + | 0.380558i | 0.850017 | − | 0.526755i | \(-0.176592\pi\) |
−0.420456 | + | 0.907313i | \(0.638130\pi\) | |||||||
\(912\) | 7907.60 | + | 27300.2i | 0.287113 | + | 0.991229i | ||||
\(913\) | 12715.3 | − | 26796.9i | 0.460915 | − | 0.971357i | ||||
\(914\) | −82047.5 | + | 27391.5i | −2.96925 | + | 0.991280i | ||||
\(915\) | 13661.8 | 0.493603 | ||||||||
\(916\) | −58872.0 | + | 19654.4i | −2.12357 | + | 0.708950i | ||||
\(917\) | 105.780 | − | 2624.90i | 0.00380933 | − | 0.0945277i | ||||
\(918\) | 12135.6 | − | 99946.0i | 0.436314 | − | 3.59337i | ||||
\(919\) | 18898.7 | − | 11950.8i | 0.678357 | − | 0.428967i | −0.150363 | − | 0.988631i | \(-0.548044\pi\) |
0.828720 | + | 0.559664i | \(0.189070\pi\) | |||||||
\(920\) | −99216.3 | + | 42272.1i | −3.55551 | + | 1.51486i | ||||
\(921\) | 28090.0 | + | 29244.8i | 1.00499 | + | 1.04631i | ||||
\(922\) | −53096.2 | + | 13087.0i | −1.89656 | + | 0.467461i | ||||
\(923\) | −5187.93 | − | 69.6293i | −0.185009 | − | 0.00248307i | ||||
\(924\) | −15197.8 | − | 3745.92i | −0.541094 | − | 0.133368i | ||||
\(925\) | 361.452 | + | 626.053i | 0.0128481 | + | 0.0222535i | ||||
\(926\) | 44299.5 | + | 46120.6i | 1.57211 | + | 1.63674i | ||||
\(927\) | −1722.80 | − | 3630.73i | −0.0610402 | − | 0.128639i | ||||
\(928\) | −17562.1 | + | 15558.6i | −0.621231 | + | 0.550363i | ||||
\(929\) | −24459.8 | − | 18380.3i | −0.863832 | − | 0.649127i | 0.0736033 | − | 0.997288i | \(-0.476550\pi\) |
−0.937435 | + | 0.348160i | \(0.886807\pi\) | |||||||
\(930\) | −6734.25 | − | 5060.46i | −0.237446 | − | 0.178429i | ||||
\(931\) | −10632.2 | + | 9419.30i | −0.374281 | + | 0.331584i | ||||
\(932\) | −3646.34 | − | 7684.51i | −0.128154 | − | 0.270080i | ||||
\(933\) | −18693.6 | − | 19462.0i | −0.655948 | − | 0.682914i | ||||
\(934\) | −1675.16 | − | 2901.47i | −0.0586863 | − | 0.101648i | ||||
\(935\) | 79367.4 | + | 19562.3i | 2.77603 | + | 0.684231i | ||||
\(936\) | −2335.74 | + | 5918.06i | −0.0815664 | + | 0.206664i | ||||
\(937\) | −20019.6 | + | 4934.40i | −0.697986 | + | 0.172038i | −0.572315 | − | 0.820034i | \(-0.693955\pi\) |
−0.125671 | + | 0.992072i | \(0.540108\pi\) | |||||||
\(938\) | 7091.76 | + | 7383.31i | 0.246860 | + | 0.257008i | ||||
\(939\) | −27168.9 | + | 11575.6i | −0.944221 | + | 0.402295i | ||||
\(940\) | 86713.7 | − | 54834.4i | 3.00882 | − | 1.90266i | ||||
\(941\) | −5774.67 | + | 47558.7i | −0.200052 | + | 1.64758i | 0.453910 | + | 0.891048i | \(0.350029\pi\) |
−0.653961 | + | 0.756528i | \(0.726894\pi\) | |||||||
\(942\) | −1247.79 | + | 30963.6i | −0.0431584 | + | 1.07096i | ||||
\(943\) | 57430.9 | − | 19173.3i | 1.98325 | − | 0.662107i | ||||
\(944\) | −56537.3 | −1.94929 | ||||||||
\(945\) | −5121.74 | + | 1709.89i | −0.176307 | + | 0.0588600i | ||||
\(946\) | 14418.1 | − | 30385.6i | 0.495532 | − | 1.04431i | ||||
\(947\) | −6225.84 | − | 21494.1i | −0.213635 | − | 0.737555i | −0.993721 | − | 0.111883i | \(-0.964312\pi\) |
0.780086 | − | 0.625672i | \(-0.215175\pi\) | |||||||
\(948\) | −49170.0 | − | 43560.8i | −1.68456 | − | 1.49239i | ||||
\(949\) | −19644.5 | + | 40004.6i | −0.671956 | + | 1.36839i | ||||
\(950\) | −1400.28 | + | 1240.54i | −0.0478223 | + | 0.0423669i | ||||
\(951\) | 29129.9 | + | 18420.7i | 0.993273 | + | 0.628108i | ||||
\(952\) | −946.546 | − | 23488.3i | −0.0322245 | − | 0.799643i | ||||
\(953\) | −5536.98 | − | 6781.57i | −0.188206 | − | 0.230511i | 0.671879 | − | 0.740661i | \(-0.265487\pi\) |
−0.860085 | + | 0.510150i | \(0.829590\pi\) | |||||||
\(954\) | −1055.60 | − | 1529.30i | −0.0358242 | − | 0.0519003i | ||||
\(955\) | 3907.46 | − | 2470.93i | 0.132400 | − | 0.0837249i | ||||
\(956\) | 26010.5 | − | 89798.8i | 0.879959 | − | 3.03797i | ||||
\(957\) | 18101.5 | + | 16036.5i | 0.611429 | + | 0.541679i | ||||
\(958\) | −3281.91 | − | 16075.9i | −0.110682 | − | 0.542158i | ||||
\(959\) | −1190.15 | − | 96.0788i | −0.0400750 | − | 0.00323519i | ||||
\(960\) | −547.611 | − | 13588.8i | −0.0184105 | − | 0.456852i | ||||
\(961\) | 10275.6 | + | 27094.6i | 0.344924 | + | 0.909489i | ||||
\(962\) | −20066.3 | + | 4661.17i | −0.672520 | + | 0.156218i | ||||
\(963\) | 175.615 | − | 463.059i | 0.00587655 | − | 0.0154952i | ||||
\(964\) | −124711. | − | 41634.7i | −4.16668 | − | 1.39104i | ||||
\(965\) | 25374.0 | + | 8471.10i | 0.846444 | + | 0.282585i | ||||
\(966\) | 9633.92 | − | 10030.0i | 0.320876 | − | 0.334067i | ||||
\(967\) | −20410.3 | − | 5030.70i | −0.678751 | − | 0.167297i | −0.115155 | − | 0.993348i | \(-0.536736\pi\) |
−0.563596 | + | 0.826050i | \(0.690583\pi\) | |||||||
\(968\) | 74398.1 | + | 31698.1i | 2.47030 | + | 1.05249i | ||||
\(969\) | 17868.6 | + | 21885.0i | 0.592385 | + | 0.725540i | ||||
\(970\) | −5420.71 | − | 44643.5i | −0.179431 | − | 1.47775i | ||||
\(971\) | −496.471 | + | 40.0793i | −0.0164084 | + | 0.00132462i | −0.0886680 | − | 0.996061i | \(-0.528261\pi\) |
0.0722597 | + | 0.997386i | \(0.476979\pi\) | |||||||
\(972\) | −3584.24 | − | 12374.2i | −0.118276 | − | 0.408337i | ||||
\(973\) | 609.758 | − | 2986.79i | 0.0200904 | − | 0.0984091i | ||||
\(974\) | 4023.16 | − | 33133.7i | 0.132352 | − | 1.09001i | ||||
\(975\) | 1966.49 | − | 132.215i | 0.0645927 | − | 0.00434284i | ||||
\(976\) | 3868.74 | + | 31861.9i | 0.126880 | + | 1.04495i | ||||
\(977\) | 19036.6 | + | 1536.79i | 0.623371 | + | 0.0503237i | 0.388117 | − | 0.921610i | \(-0.373126\pi\) |
0.235254 | + | 0.971934i | \(0.424408\pi\) | |||||||
\(978\) | −40449.1 | + | 49541.1i | −1.32251 | + | 1.61978i | ||||
\(979\) | −17346.9 | − | 13035.4i | −0.566303 | − | 0.425549i | ||||
\(980\) | 63465.2 | − | 33309.1i | 2.06870 | − | 1.08574i | ||||
\(981\) | −508.578 | − | 2491.18i | −0.0165521 | − | 0.0810777i | ||||
\(982\) | −7554.23 | + | 609.841i | −0.245484 | + | 0.0198175i | ||||
\(983\) | 9936.56 | − | 14395.6i | 0.322408 | − | 0.467088i | −0.627947 | − | 0.778256i | \(-0.716105\pi\) |
0.950355 | + | 0.311168i | \(0.100720\pi\) | |||||||
\(984\) | −3904.43 | + | 96887.4i | −0.126493 | + | 3.13888i | ||||
\(985\) | 9141.59 | − | 6869.46i | 0.295711 | − | 0.222212i | ||||
\(986\) | −27272.2 | + | 57474.9i | −0.880856 | + | 1.85636i | ||||
\(987\) | −4290.68 | + | 6216.13i | −0.138373 | + | 0.200468i | ||||
\(988\) | −15538.1 | − | 33913.7i | −0.500338 | − | 1.09204i | ||||
\(989\) | 11878.2 | + | 17208.6i | 0.381907 | + | 0.553288i | ||||
\(990\) | 7699.94 | − | 1251.36i | 0.247192 | − | 0.0401726i | ||||
\(991\) | −14911.1 | − | 25826.7i | −0.477968 | − | 0.827864i | 0.521713 | − | 0.853121i | \(-0.325293\pi\) |
−0.999681 | + | 0.0252566i | \(0.991960\pi\) | |||||||
\(992\) | 3627.62 | − | 6283.23i | 0.116106 | − | 0.201102i | ||||
\(993\) | −2222.99 | + | 5861.55i | −0.0710418 | + | 0.187322i | ||||
\(994\) | 1267.31 | − | 1319.40i | 0.0404391 | − | 0.0421016i | ||||
\(995\) | 16328.1 | − | 28281.0i | 0.520235 | − | 0.901074i | ||||
\(996\) | −50226.8 | + | 12379.8i | −1.59789 | + | 0.393844i | ||||
\(997\) | 13905.2 | + | 2259.81i | 0.441707 | + | 0.0717844i | 0.377198 | − | 0.926133i | \(-0.376888\pi\) |
0.0645093 | + | 0.997917i | \(0.479452\pi\) | |||||||
\(998\) | 35494.1 | + | 22445.1i | 1.12580 | + | 0.711911i | ||||
\(999\) | 7860.03 | − | 9626.79i | 0.248929 | − | 0.304883i |
(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 | 169.4.i.a.3.3 | ✓ | 1080 | |
169.113 | even | 39 | inner | 169.4.i.a.113.3 | yes | 1080 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
169.4.i.a.3.3 | ✓ | 1080 | 1.1 | even | 1 | trivial | |
169.4.i.a.113.3 | yes | 1080 | 169.113 | even | 39 | inner |