Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,3,Mod(5,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([50, 33]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.bd (of order \(60\), degree \(16\), 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: | \(7.82018358714\) |
Analytic rank: | \(0\) |
Dimension: | \(864\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 5.6 | ||
Character | \(\chi\) | \(=\) | 287.5 |
Dual form | 287.3.bd.a.115.6 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{11}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.25516 | + | 0.342131i | −1.62758 | + | 0.171066i | −0.873877 | − | 0.486148i | \(-0.838402\pi\) |
−0.753705 | + | 0.657213i | \(0.771735\pi\) | |||||||
\(3\) | −2.98484 | − | 0.799785i | −0.994946 | − | 0.266595i | −0.275619 | − | 0.961267i | \(-0.588883\pi\) |
−0.719327 | + | 0.694672i | \(0.755550\pi\) | |||||||
\(4\) | 6.56644 | − | 1.39574i | 1.64161 | − | 0.348935i | ||||
\(5\) | −1.83918 | − | 2.04262i | −0.367836 | − | 0.408523i | 0.530604 | − | 0.847620i | \(-0.321965\pi\) |
−0.898440 | + | 0.439097i | \(0.855299\pi\) | |||||||
\(6\) | 9.98976 | + | 1.58222i | 1.66496 | + | 0.263704i | ||||
\(7\) | −2.67170 | − | 6.47009i | −0.381671 | − | 0.924298i | ||||
\(8\) | −8.44572 | + | 2.74418i | −1.05572 | + | 0.343023i | ||||
\(9\) | 0.475370 | + | 0.274455i | 0.0528189 | + | 0.0304950i | ||||
\(10\) | 6.68568 | + | 6.01981i | 0.668568 | + | 0.601981i | ||||
\(11\) | 10.1998 | − | 0.534551i | 0.927258 | − | 0.0485955i | 0.417275 | − | 0.908780i | \(-0.362985\pi\) |
0.509983 | + | 0.860185i | \(0.329652\pi\) | |||||||
\(12\) | −20.7160 | − | 1.08568i | −1.72634 | − | 0.0904735i | ||||
\(13\) | 2.39659 | − | 15.1315i | 0.184353 | − | 1.16396i | −0.705839 | − | 0.708372i | \(-0.749430\pi\) |
0.890192 | − | 0.455586i | \(-0.150570\pi\) | |||||||
\(14\) | 10.9104 | + | 20.1471i | 0.779316 | + | 1.43908i | ||||
\(15\) | 3.85600 | + | 7.56783i | 0.257067 | + | 0.504522i | ||||
\(16\) | 2.02230 | − | 0.900385i | 0.126394 | − | 0.0562741i | ||||
\(17\) | 23.8380 | − | 1.24930i | 1.40224 | − | 0.0734881i | 0.663850 | − | 0.747866i | \(-0.268921\pi\) |
0.738387 | + | 0.674378i | \(0.235588\pi\) | |||||||
\(18\) | −1.64131 | − | 0.730756i | −0.0911837 | − | 0.0405976i | ||||
\(19\) | 12.9327 | + | 4.96441i | 0.680670 | + | 0.261285i | 0.674042 | − | 0.738693i | \(-0.264557\pi\) |
0.00662810 | + | 0.999978i | \(0.497890\pi\) | |||||||
\(20\) | −14.9278 | − | 10.8457i | −0.746392 | − | 0.542285i | ||||
\(21\) | 2.79990 | + | 21.4489i | 0.133328 | + | 1.02138i | ||||
\(22\) | −33.0192 | + | 5.22973i | −1.50087 | + | 0.237715i | ||||
\(23\) | −1.60094 | − | 15.2319i | −0.0696061 | − | 0.662258i | −0.972581 | − | 0.232564i | \(-0.925288\pi\) |
0.902975 | − | 0.429693i | \(-0.141378\pi\) | |||||||
\(24\) | 27.4039 | − | 1.43618i | 1.14183 | − | 0.0598406i | ||||
\(25\) | 1.82351 | − | 17.3496i | 0.0729405 | − | 0.693983i | ||||
\(26\) | −2.62434 | + | 50.0753i | −0.100936 | + | 1.92597i | ||||
\(27\) | 18.4661 | + | 18.4661i | 0.683929 | + | 0.683929i | ||||
\(28\) | −26.5741 | − | 38.7565i | −0.949075 | − | 1.38416i | ||||
\(29\) | −18.5956 | + | 9.47495i | −0.641229 | + | 0.326722i | −0.744195 | − | 0.667963i | \(-0.767167\pi\) |
0.102966 | + | 0.994685i | \(0.467167\pi\) | |||||||
\(30\) | −15.1411 | − | 23.3153i | −0.504703 | − | 0.777175i | ||||
\(31\) | −18.9467 | − | 17.0597i | −0.611185 | − | 0.550314i | 0.304346 | − | 0.952562i | \(-0.401562\pi\) |
−0.915531 | + | 0.402248i | \(0.868229\pi\) | |||||||
\(32\) | 24.4876 | − | 14.1379i | 0.765238 | − | 0.441810i | ||||
\(33\) | −30.8724 | − | 6.56213i | −0.935527 | − | 0.198852i | ||||
\(34\) | −77.1692 | + | 12.2224i | −2.26968 | + | 0.359482i | ||||
\(35\) | −8.30218 | + | 17.3569i | −0.237205 | + | 0.495912i | ||||
\(36\) | 3.50456 | + | 1.13870i | 0.0973488 | + | 0.0316305i | ||||
\(37\) | −30.6170 | − | 34.0037i | −0.827488 | − | 0.919018i | 0.170307 | − | 0.985391i | \(-0.445524\pi\) |
−0.997795 | + | 0.0663727i | \(0.978857\pi\) | |||||||
\(38\) | −43.7966 | − | 11.7353i | −1.15254 | − | 0.308823i | ||||
\(39\) | −19.2553 | + | 43.2482i | −0.493727 | + | 1.10893i | ||||
\(40\) | 21.1385 | + | 12.2043i | 0.528463 | + | 0.305108i | ||||
\(41\) | −35.4160 | + | 20.6568i | −0.863806 | + | 0.503825i | ||||
\(42\) | −16.4525 | − | 68.8619i | −0.391726 | − | 1.63957i | ||||
\(43\) | −35.9922 | − | 49.5390i | −0.837028 | − | 1.15207i | −0.986574 | − | 0.163315i | \(-0.947781\pi\) |
0.149546 | − | 0.988755i | \(-0.452219\pi\) | |||||||
\(44\) | 66.2305 | − | 17.7464i | 1.50524 | − | 0.403328i | ||||
\(45\) | −0.313685 | − | 1.47577i | −0.00697077 | − | 0.0327949i | ||||
\(46\) | 10.4226 | + | 49.0347i | 0.226579 | + | 1.06597i | ||||
\(47\) | 7.62152 | − | 9.41180i | 0.162160 | − | 0.200251i | −0.689589 | − | 0.724201i | \(-0.742209\pi\) |
0.851749 | + | 0.523950i | \(0.175542\pi\) | |||||||
\(48\) | −6.75634 | + | 1.07010i | −0.140757 | + | 0.0222937i | ||||
\(49\) | −34.7241 | + | 34.5722i | −0.708655 | + | 0.705555i | ||||
\(50\) | 57.0995i | 1.14199i | ||||||||
\(51\) | −72.1518 | − | 15.3363i | −1.41474 | − | 0.300712i | ||||
\(52\) | −5.38253 | − | 102.705i | −0.103510 | − | 1.97509i | ||||
\(53\) | 35.0172 | + | 22.7404i | 0.660702 | + | 0.429065i | 0.830958 | − | 0.556335i | \(-0.187793\pi\) |
−0.170256 | + | 0.985400i | \(0.554460\pi\) | |||||||
\(54\) | −66.4279 | − | 53.7923i | −1.23015 | − | 0.996153i | ||||
\(55\) | −19.8512 | − | 19.8512i | −0.360931 | − | 0.360931i | ||||
\(56\) | 40.3195 | + | 47.3129i | 0.719991 | + | 0.844874i | ||||
\(57\) | −34.6316 | − | 25.1613i | −0.607572 | − | 0.441427i | ||||
\(58\) | 57.2901 | − | 37.2046i | 0.987761 | − | 0.641459i | ||||
\(59\) | −7.30304 | + | 16.4029i | −0.123780 | + | 0.278015i | −0.964798 | − | 0.262993i | \(-0.915290\pi\) |
0.841017 | + | 0.541008i | \(0.181957\pi\) | |||||||
\(60\) | 35.8829 | + | 44.3117i | 0.598049 | + | 0.738529i | ||||
\(61\) | −50.2652 | + | 22.3795i | −0.824019 | + | 0.366877i | −0.775032 | − | 0.631922i | \(-0.782266\pi\) |
−0.0489876 | + | 0.998799i | \(0.515599\pi\) | |||||||
\(62\) | 67.5114 | + | 49.0499i | 1.08889 | + | 0.791127i | ||||
\(63\) | 0.505704 | − | 3.80894i | 0.00802705 | − | 0.0604594i | ||||
\(64\) | −82.0377 | + | 59.6039i | −1.28184 | + | 0.931311i | ||||
\(65\) | −35.3155 | + | 22.9342i | −0.543316 | + | 0.352833i | ||||
\(66\) | 102.740 | + | 10.7984i | 1.55666 | + | 0.163612i | ||||
\(67\) | 18.4722 | − | 28.4447i | 0.275705 | − | 0.424548i | −0.673509 | − | 0.739179i | \(-0.735214\pi\) |
0.949214 | + | 0.314630i | \(0.101881\pi\) | |||||||
\(68\) | 154.787 | − | 41.4751i | 2.27628 | − | 0.609928i | ||||
\(69\) | −7.40372 | + | 46.7452i | −0.107300 | + | 0.677467i | ||||
\(70\) | 21.0866 | − | 59.3400i | 0.301237 | − | 0.847714i | ||||
\(71\) | 38.2368 | − | 75.0440i | 0.538547 | − | 1.05696i | −0.448084 | − | 0.893991i | \(-0.647894\pi\) |
0.986632 | − | 0.162967i | \(-0.0521064\pi\) | |||||||
\(72\) | −4.76800 | − | 1.01347i | −0.0662222 | − | 0.0140760i | ||||
\(73\) | 22.7111 | + | 39.3369i | 0.311112 | + | 0.538861i | 0.978603 | − | 0.205756i | \(-0.0659654\pi\) |
−0.667492 | + | 0.744617i | \(0.732632\pi\) | |||||||
\(74\) | 111.297 | + | 100.212i | 1.50402 | + | 1.35422i | ||||
\(75\) | −19.3188 | + | 50.3272i | −0.257584 | + | 0.671029i | ||||
\(76\) | 91.8510 | + | 14.5478i | 1.20857 | + | 0.191418i | ||||
\(77\) | −30.7094 | − | 64.5657i | −0.398824 | − | 0.838515i | ||||
\(78\) | 47.8827 | − | 147.368i | 0.613881 | − | 1.88933i | ||||
\(79\) | 98.2671 | − | 26.3306i | 1.24389 | − | 0.333299i | 0.423915 | − | 0.905702i | \(-0.360656\pi\) |
0.819972 | + | 0.572403i | \(0.193989\pi\) | |||||||
\(80\) | −5.55851 | − | 2.47481i | −0.0694814 | − | 0.0309351i | ||||
\(81\) | −42.8194 | − | 74.1655i | −0.528635 | − | 0.915623i | ||||
\(82\) | 108.218 | − | 79.3582i | 1.31973 | − | 0.967783i | ||||
\(83\) | 75.0773i | 0.904546i | 0.891880 | + | 0.452273i | \(0.149387\pi\) | ||||
−0.891880 | + | 0.452273i | \(0.850613\pi\) | |||||||
\(84\) | 48.3225 | + | 136.935i | 0.575268 | + | 1.63018i | ||||
\(85\) | −46.3943 | − | 46.3943i | −0.545815 | − | 0.545815i | ||||
\(86\) | 134.109 | + | 148.944i | 1.55941 | + | 1.73190i | ||||
\(87\) | 63.0828 | − | 13.4087i | 0.725090 | − | 0.154123i | ||||
\(88\) | −84.6781 | + | 32.5049i | −0.962251 | + | 0.369373i | ||||
\(89\) | −29.2892 | + | 76.3011i | −0.329093 | + | 0.857315i | 0.664806 | + | 0.747016i | \(0.268514\pi\) |
−0.993898 | + | 0.110299i | \(0.964819\pi\) | |||||||
\(90\) | 1.52600 | + | 4.69655i | 0.0169556 | + | 0.0521839i | ||||
\(91\) | −104.305 | + | 24.9205i | −1.14621 | + | 0.273852i | ||||
\(92\) | −31.7723 | − | 97.7851i | −0.345351 | − | 1.06288i | ||||
\(93\) | 42.9088 | + | 66.0738i | 0.461385 | + | 0.710471i | ||||
\(94\) | −21.5892 | + | 33.2445i | −0.229673 | + | 0.353665i | ||||
\(95\) | −13.6452 | − | 35.5470i | −0.143634 | − | 0.374179i | ||||
\(96\) | −84.3988 | + | 22.6146i | −0.879154 | + | 0.235569i | ||||
\(97\) | −130.045 | + | 66.2613i | −1.34067 | + | 0.683106i | −0.969416 | − | 0.245425i | \(-0.921072\pi\) |
−0.371255 | + | 0.928531i | \(0.621072\pi\) | |||||||
\(98\) | 101.204 | − | 124.418i | 1.03270 | − | 1.26958i | ||||
\(99\) | 4.99540 | + | 2.54529i | 0.0504586 | + | 0.0257100i | ||||
\(100\) | −12.2415 | − | 116.470i | −0.122415 | − | 1.16470i | ||||
\(101\) | 82.5278 | − | 66.8297i | 0.817107 | − | 0.661680i | −0.126787 | − | 0.991930i | \(-0.540466\pi\) |
0.943893 | + | 0.330250i | \(0.107133\pi\) | |||||||
\(102\) | 240.113 | + | 25.2369i | 2.35405 | + | 0.247420i | ||||
\(103\) | −76.7906 | + | 34.1894i | −0.745540 | + | 0.331936i | −0.744105 | − | 0.668063i | \(-0.767124\pi\) |
−0.00143541 | + | 0.999999i | \(0.500457\pi\) | |||||||
\(104\) | 21.2826 | + | 134.373i | 0.204640 | + | 1.29205i | ||||
\(105\) | 38.6625 | − | 45.1676i | 0.368214 | − | 0.430168i | ||||
\(106\) | −121.767 | − | 62.0433i | −1.14874 | − | 0.585314i | ||||
\(107\) | −92.9094 | + | 41.3659i | −0.868313 | + | 0.386598i | −0.792025 | − | 0.610488i | \(-0.790973\pi\) |
−0.0762872 | + | 0.997086i | \(0.524307\pi\) | |||||||
\(108\) | 147.030 | + | 95.4826i | 1.36139 | + | 0.884098i | ||||
\(109\) | 132.994 | + | 35.6356i | 1.22013 | + | 0.326932i | 0.810728 | − | 0.585423i | \(-0.199072\pi\) |
0.409399 | + | 0.912355i | \(0.365738\pi\) | |||||||
\(110\) | 71.4107 | + | 57.8272i | 0.649188 | + | 0.525702i | ||||
\(111\) | 64.1913 | + | 125.982i | 0.578300 | + | 1.13498i | ||||
\(112\) | −11.2285 | − | 10.6789i | −0.100255 | − | 0.0953472i | ||||
\(113\) | 14.8257 | + | 45.6289i | 0.131201 | + | 0.403795i | 0.994980 | − | 0.100076i | \(-0.0319086\pi\) |
−0.863779 | + | 0.503871i | \(0.831909\pi\) | |||||||
\(114\) | 121.340 | + | 70.0557i | 1.06439 | + | 0.614524i | ||||
\(115\) | −28.1686 | + | 31.2844i | −0.244944 | + | 0.272038i | ||||
\(116\) | −108.883 | + | 88.1713i | −0.938642 | + | 0.760098i | ||||
\(117\) | 5.29217 | − | 6.53528i | 0.0452322 | − | 0.0558571i | ||||
\(118\) | 18.1606 | − | 55.8927i | 0.153904 | − | 0.473667i | ||||
\(119\) | −71.7710 | − | 150.896i | −0.603118 | − | 1.26804i | ||||
\(120\) | −53.3342 | − | 53.3342i | −0.444452 | − | 0.444452i | ||||
\(121\) | −16.5862 | + | 1.74328i | −0.137076 | + | 0.0144073i | ||||
\(122\) | 155.965 | − | 90.0462i | 1.27840 | − | 0.738084i | ||||
\(123\) | 122.232 | − | 33.3320i | 0.993757 | − | 0.270992i | ||||
\(124\) | −148.224 | − | 85.5769i | −1.19535 | − | 0.690136i | ||||
\(125\) | −94.3841 | + | 68.5741i | −0.755073 | + | 0.548593i | ||||
\(126\) | −0.342990 | + | 12.5718i | −0.00272214 | + | 0.0997758i | ||||
\(127\) | 32.0159 | − | 98.5349i | 0.252094 | − | 0.775866i | −0.742294 | − | 0.670074i | \(-0.766262\pi\) |
0.994388 | − | 0.105792i | \(-0.0337376\pi\) | |||||||
\(128\) | 162.602 | − | 146.407i | 1.27032 | − | 1.14381i | ||||
\(129\) | 67.8103 | + | 176.652i | 0.525661 | + | 1.36939i | ||||
\(130\) | 107.111 | − | 86.7370i | 0.823933 | − | 0.667208i | ||||
\(131\) | 98.1936 | + | 20.8717i | 0.749570 | + | 0.159326i | 0.566829 | − | 0.823835i | \(-0.308170\pi\) |
0.182740 | + | 0.983161i | \(0.441503\pi\) | |||||||
\(132\) | −211.881 | −1.60516 | ||||||||
\(133\) | −2.43214 | − | 96.9392i | −0.0182868 | − | 0.728867i | ||||
\(134\) | −50.3983 | + | 98.9121i | −0.376106 | + | 0.738150i | ||||
\(135\) | 3.75667 | − | 71.6816i | 0.0278272 | − | 0.530975i | ||||
\(136\) | −197.901 | + | 75.9671i | −1.45515 | + | 0.558581i | ||||
\(137\) | −196.321 | − | 52.6039i | −1.43300 | − | 0.383970i | −0.542921 | − | 0.839784i | \(-0.682682\pi\) |
−0.890075 | + | 0.455813i | \(0.849348\pi\) | |||||||
\(138\) | 8.10730 | − | 154.696i | 0.0587485 | − | 1.12099i | ||||
\(139\) | 113.566 | − | 156.310i | 0.817019 | − | 1.12453i | −0.173183 | − | 0.984890i | \(-0.555405\pi\) |
0.990202 | − | 0.139641i | \(-0.0445948\pi\) | |||||||
\(140\) | −30.2901 | + | 125.561i | −0.216358 | + | 0.896863i | ||||
\(141\) | −30.2764 | + | 21.9971i | −0.214726 | + | 0.156008i | ||||
\(142\) | −98.7922 | + | 257.363i | −0.695720 | + | 1.81241i | ||||
\(143\) | 16.3563 | − | 155.619i | 0.114379 | − | 1.08825i | ||||
\(144\) | 1.20845 | + | 0.127014i | 0.00839204 | + | 0.000882039i | ||||
\(145\) | 53.5544 | + | 20.5576i | 0.369341 | + | 0.141777i | ||||
\(146\) | −87.3869 | − | 120.278i | −0.598540 | − | 0.823820i | ||||
\(147\) | 131.296 | − | 75.4206i | 0.893171 | − | 0.513065i | ||||
\(148\) | −248.505 | − | 180.550i | −1.67909 | − | 1.21993i | ||||
\(149\) | −223.460 | − | 11.7110i | −1.49973 | − | 0.0785974i | −0.715300 | − | 0.698817i | \(-0.753710\pi\) |
−0.784428 | + | 0.620220i | \(0.787043\pi\) | |||||||
\(150\) | 45.6673 | − | 170.433i | 0.304449 | − | 1.13622i | ||||
\(151\) | 77.8874 | + | 202.904i | 0.515811 | + | 1.34373i | 0.906109 | + | 0.423044i | \(0.139039\pi\) |
−0.390298 | + | 0.920688i | \(0.627628\pi\) | |||||||
\(152\) | −122.849 | − | 6.43826i | −0.808220 | − | 0.0423570i | ||||
\(153\) | 11.6748 | + | 5.94858i | 0.0763056 | + | 0.0388796i | ||||
\(154\) | 122.054 | + | 199.665i | 0.792560 | + | 1.29653i | ||||
\(155\) | 70.0768i | 0.452109i | ||||||||
\(156\) | −66.0758 | + | 310.862i | −0.423563 | + | 1.99271i | ||||
\(157\) | −110.134 | − | 136.005i | −0.701493 | − | 0.866272i | 0.294505 | − | 0.955650i | \(-0.404845\pi\) |
−0.995998 | + | 0.0893785i | \(0.971512\pi\) | |||||||
\(158\) | −310.867 | + | 119.331i | −1.96751 | + | 0.755257i | ||||
\(159\) | −86.3332 | − | 95.8827i | −0.542976 | − | 0.603036i | ||||
\(160\) | −73.9155 | − | 24.0166i | −0.461972 | − | 0.150104i | ||||
\(161\) | −94.2747 | + | 51.0533i | −0.585557 | + | 0.317101i | ||||
\(162\) | 164.759 | + | 226.771i | 1.01703 | + | 1.39982i | ||||
\(163\) | 45.4333 | − | 78.6927i | 0.278732 | − | 0.482777i | −0.692338 | − | 0.721573i | \(-0.743419\pi\) |
0.971070 | + | 0.238796i | \(0.0767527\pi\) | |||||||
\(164\) | −203.726 | + | 185.073i | −1.24223 | + | 1.12850i | ||||
\(165\) | 43.3760 | + | 75.1294i | 0.262885 | + | 0.455330i | ||||
\(166\) | −25.6863 | − | 244.389i | −0.154737 | − | 1.47222i | ||||
\(167\) | 74.9911 | − | 74.9911i | 0.449049 | − | 0.449049i | −0.445990 | − | 0.895038i | \(-0.647148\pi\) |
0.895038 | + | 0.445990i | \(0.147148\pi\) | |||||||
\(168\) | −82.5069 | − | 173.468i | −0.491113 | − | 1.03255i | ||||
\(169\) | −62.4889 | − | 20.3039i | −0.369757 | − | 0.120141i | ||||
\(170\) | 166.894 | + | 135.148i | 0.981728 | + | 0.794988i | ||||
\(171\) | 4.78532 | + | 5.90938i | 0.0279843 | + | 0.0345578i | ||||
\(172\) | −305.484 | − | 275.059i | −1.77607 | − | 1.59918i | ||||
\(173\) | −138.786 | + | 240.384i | −0.802230 | + | 1.38950i | 0.115915 | + | 0.993259i | \(0.463020\pi\) |
−0.918145 | + | 0.396244i | \(0.870313\pi\) | |||||||
\(174\) | −200.757 | + | 65.2300i | −1.15378 | + | 0.374885i | ||||
\(175\) | −117.125 | + | 34.5545i | −0.669286 | + | 0.197454i | ||||
\(176\) | 20.1458 | − | 10.2648i | 0.114465 | − | 0.0583227i | ||||
\(177\) | 34.9172 | − | 43.1191i | 0.197272 | − | 0.243611i | ||||
\(178\) | 69.2362 | − | 258.393i | 0.388968 | − | 1.45165i | ||||
\(179\) | −104.384 | + | 160.737i | −0.583149 | + | 0.897970i | −0.999939 | − | 0.0110323i | \(-0.996488\pi\) |
0.416790 | + | 0.909003i | \(0.363155\pi\) | |||||||
\(180\) | −4.11958 | − | 9.25274i | −0.0228866 | − | 0.0514041i | ||||
\(181\) | 35.3699 | − | 69.4173i | 0.195414 | − | 0.383521i | −0.772420 | − | 0.635112i | \(-0.780954\pi\) |
0.967834 | + | 0.251591i | \(0.0809539\pi\) | |||||||
\(182\) | 331.003 | − | 116.806i | 1.81870 | − | 0.641793i | ||||
\(183\) | 167.932 | − | 26.5978i | 0.917662 | − | 0.145343i | ||||
\(184\) | 55.3203 | + | 124.251i | 0.300654 | + | 0.675279i | ||||
\(185\) | −13.1462 | + | 125.078i | −0.0710606 | + | 0.676096i | ||||
\(186\) | −162.281 | − | 200.401i | −0.872479 | − | 1.07742i | ||||
\(187\) | 242.476 | − | 25.4853i | 1.29666 | − | 0.136285i | ||||
\(188\) | 36.9099 | − | 72.4397i | 0.196329 | − | 0.385317i | ||||
\(189\) | 70.1414 | − | 168.813i | 0.371119 | − | 0.893190i | ||||
\(190\) | 56.5792 | + | 111.043i | 0.297785 | + | 0.584437i | ||||
\(191\) | −27.1766 | − | 101.425i | −0.142286 | − | 0.531019i | −0.999861 | − | 0.0166600i | \(-0.994697\pi\) |
0.857575 | − | 0.514359i | \(-0.171970\pi\) | |||||||
\(192\) | 292.540 | − | 112.295i | 1.52364 | − | 0.584872i | ||||
\(193\) | −148.132 | − | 96.1984i | −0.767526 | − | 0.498437i | 0.100512 | − | 0.994936i | \(-0.467952\pi\) |
−0.868037 | + | 0.496499i | \(0.834619\pi\) | |||||||
\(194\) | 400.648 | − | 260.184i | 2.06519 | − | 1.34115i | ||||
\(195\) | 123.754 | − | 40.2100i | 0.634633 | − | 0.206205i | ||||
\(196\) | −179.760 | + | 275.482i | −0.917142 | + | 1.40552i | ||||
\(197\) | 259.631 | − | 84.3594i | 1.31793 | − | 0.428220i | 0.436144 | − | 0.899877i | \(-0.356344\pi\) |
0.881782 | + | 0.471657i | \(0.156344\pi\) | |||||||
\(198\) | −17.1317 | − | 6.57623i | −0.0865236 | − | 0.0332133i | ||||
\(199\) | 83.2706 | + | 216.927i | 0.418445 | + | 1.09009i | 0.967180 | + | 0.254091i | \(0.0817761\pi\) |
−0.548735 | + | 0.835996i | \(0.684891\pi\) | |||||||
\(200\) | 32.2095 | + | 151.534i | 0.161047 | + | 0.757668i | ||||
\(201\) | −77.8862 | + | 70.1291i | −0.387494 | + | 0.348901i | ||||
\(202\) | −245.777 | + | 245.777i | −1.21672 | + | 1.21672i | ||||
\(203\) | 110.986 | + | 95.0012i | 0.546727 | + | 0.467986i | ||||
\(204\) | −495.186 | −2.42738 | ||||||||
\(205\) | 107.330 | + | 34.3498i | 0.523563 | + | 0.167560i | ||||
\(206\) | 238.269 | − | 137.564i | 1.15664 | − | 0.667789i | ||||
\(207\) | 3.41944 | − | 7.68019i | 0.0165190 | − | 0.0371024i | ||||
\(208\) | −8.77752 | − | 32.7582i | −0.0421996 | − | 0.157491i | ||||
\(209\) | 134.565 | + | 43.7229i | 0.643853 | + | 0.209201i | ||||
\(210\) | −110.399 | + | 160.256i | −0.525711 | + | 0.763122i | ||||
\(211\) | −28.6952 | + | 181.174i | −0.135996 | + | 0.858645i | 0.821502 | + | 0.570205i | \(0.193136\pi\) |
−0.957498 | + | 0.288440i | \(0.906864\pi\) | |||||||
\(212\) | 261.678 | + | 100.449i | 1.23433 | + | 0.473815i | ||||
\(213\) | −174.150 | + | 193.413i | −0.817605 | + | 0.908042i | ||||
\(214\) | 288.283 | − | 166.440i | 1.34712 | − | 0.777758i | ||||
\(215\) | −34.9931 | + | 164.629i | −0.162759 | + | 0.765719i | ||||
\(216\) | −206.634 | − | 105.285i | −0.956637 | − | 0.487431i | ||||
\(217\) | −59.7580 | + | 168.165i | −0.275382 | + | 0.774956i | ||||
\(218\) | −445.109 | − | 70.4983i | −2.04178 | − | 0.323387i | ||||
\(219\) | −36.3281 | − | 135.578i | −0.165882 | − | 0.619078i | ||||
\(220\) | −158.059 | − | 102.645i | −0.718450 | − | 0.466567i | ||||
\(221\) | 38.2262 | − | 363.698i | 0.172969 | − | 1.64569i | ||||
\(222\) | −252.056 | − | 388.132i | −1.13539 | − | 1.74834i | ||||
\(223\) | 74.1504 | + | 102.059i | 0.332513 | + | 0.457665i | 0.942236 | − | 0.334950i | \(-0.108719\pi\) |
−0.609723 | + | 0.792615i | \(0.708719\pi\) | |||||||
\(224\) | −156.897 | − | 120.665i | −0.700433 | − | 0.538682i | ||||
\(225\) | 5.62852 | − | 7.74699i | 0.0250156 | − | 0.0344311i | ||||
\(226\) | −63.8712 | − | 143.457i | −0.282616 | − | 0.634766i | ||||
\(227\) | 59.7340 | − | 48.3716i | 0.263145 | − | 0.213091i | −0.488663 | − | 0.872473i | \(-0.662515\pi\) |
0.751808 | + | 0.659382i | \(0.229182\pi\) | |||||||
\(228\) | −262.525 | − | 116.884i | −1.15143 | − | 0.512648i | ||||
\(229\) | −117.002 | − | 180.167i | −0.510925 | − | 0.786756i | 0.485228 | − | 0.874388i | \(-0.338737\pi\) |
−0.996153 | + | 0.0876321i | \(0.972070\pi\) | |||||||
\(230\) | 80.9900 | − | 111.473i | 0.352130 | − | 0.484666i | ||||
\(231\) | 40.0240 | + | 217.279i | 0.173264 | + | 0.940602i | ||||
\(232\) | 131.053 | − | 131.053i | 0.564882 | − | 0.564882i | ||||
\(233\) | −96.3650 | + | 119.001i | −0.413584 | + | 0.510733i | −0.940783 | − | 0.339008i | \(-0.889909\pi\) |
0.527200 | + | 0.849741i | \(0.323242\pi\) | |||||||
\(234\) | −14.9909 | + | 23.0840i | −0.0640639 | + | 0.0986497i | ||||
\(235\) | −33.2421 | + | 1.74214i | −0.141456 | + | 0.00741337i | ||||
\(236\) | −25.0608 | + | 117.902i | −0.106190 | + | 0.499584i | ||||
\(237\) | −314.370 | −1.32646 | ||||||||
\(238\) | 285.253 | + | 466.637i | 1.19854 | + | 1.96066i | ||||
\(239\) | 12.3275 | + | 77.8327i | 0.0515794 | + | 0.325660i | 0.999964 | + | 0.00853588i | \(0.00271709\pi\) |
−0.948384 | + | 0.317124i | \(0.897283\pi\) | |||||||
\(240\) | 14.6119 | + | 11.8325i | 0.0608831 | + | 0.0493021i | ||||
\(241\) | −272.491 | + | 57.9198i | −1.13067 | + | 0.240331i | −0.735003 | − | 0.678064i | \(-0.762819\pi\) |
−0.395665 | + | 0.918395i | \(0.629486\pi\) | |||||||
\(242\) | 53.3945 | − | 11.3494i | 0.220638 | − | 0.0468982i | ||||
\(243\) | 7.66120 | + | 28.5920i | 0.0315276 | + | 0.117662i | ||||
\(244\) | −298.827 | + | 217.111i | −1.22470 | + | 0.889798i | ||||
\(245\) | 134.482 | + | 7.34347i | 0.548905 | + | 0.0299734i | ||||
\(246\) | −386.482 | + | 150.321i | −1.57106 | + | 0.611059i | ||||
\(247\) | 106.113 | − | 183.793i | 0.429608 | − | 0.744103i | ||||
\(248\) | 206.834 | + | 92.0884i | 0.834007 | + | 0.371324i | ||||
\(249\) | 60.0457 | − | 224.094i | 0.241147 | − | 0.899974i | ||||
\(250\) | 283.774 | − | 255.512i | 1.13510 | − | 1.02205i | ||||
\(251\) | 69.3890 | − | 213.557i | 0.276450 | − | 0.850826i | −0.712382 | − | 0.701792i | \(-0.752384\pi\) |
0.988832 | − | 0.149034i | \(-0.0476165\pi\) | |||||||
\(252\) | −1.99562 | − | 25.7170i | −0.00791913 | − | 0.102052i | ||||
\(253\) | −24.4716 | − | 154.507i | −0.0967256 | − | 0.610701i | ||||
\(254\) | −70.5052 | + | 331.701i | −0.277580 | + | 1.30591i | ||||
\(255\) | 101.374 | + | 175.585i | 0.397545 | + | 0.688568i | ||||
\(256\) | −207.794 | + | 230.778i | −0.811694 | + | 0.901477i | ||||
\(257\) | 211.017 | − | 137.036i | 0.821078 | − | 0.533214i | −0.0643847 | − | 0.997925i | \(-0.520508\pi\) |
0.885462 | + | 0.464711i | \(0.153842\pi\) | |||||||
\(258\) | −281.172 | − | 551.831i | −1.08981 | − | 2.13888i | ||||
\(259\) | −138.207 | + | 288.942i | −0.533619 | + | 1.11561i | ||||
\(260\) | −199.887 | + | 199.887i | −0.768797 | + | 0.768797i | ||||
\(261\) | −11.4402 | − | 0.599558i | −0.0438324 | − | 0.00229716i | ||||
\(262\) | −326.777 | − | 34.3457i | −1.24724 | − | 0.131090i | ||||
\(263\) | −2.55233 | − | 48.7013i | −0.00970467 | − | 0.185176i | −0.999180 | − | 0.0404775i | \(-0.987112\pi\) |
0.989476 | − | 0.144699i | \(-0.0462212\pi\) | |||||||
\(264\) | 278.747 | − | 29.2975i | 1.05586 | − | 0.110975i | ||||
\(265\) | −17.9530 | − | 113.350i | −0.0677470 | − | 0.427738i | ||||
\(266\) | 41.0830 | + | 314.721i | 0.154447 | + | 1.18316i | ||||
\(267\) | 148.448 | − | 204.321i | 0.555985 | − | 0.765248i | ||||
\(268\) | 81.5953 | − | 212.563i | 0.304460 | − | 0.793146i | ||||
\(269\) | −35.8959 | + | 80.6234i | −0.133442 | + | 0.299715i | −0.967891 | − | 0.251369i | \(-0.919119\pi\) |
0.834449 | + | 0.551085i | \(0.185786\pi\) | |||||||
\(270\) | 12.2959 | + | 234.620i | 0.0455405 | + | 0.868965i | ||||
\(271\) | −6.90582 | − | 15.5107i | −0.0254827 | − | 0.0572351i | 0.900356 | − | 0.435155i | \(-0.143306\pi\) |
−0.925838 | + | 0.377919i | \(0.876640\pi\) | |||||||
\(272\) | 47.0827 | − | 23.9898i | 0.173098 | − | 0.0881979i | ||||
\(273\) | 331.264 | + | 9.03773i | 1.21342 | + | 0.0331052i | ||||
\(274\) | 657.053 | + | 104.067i | 2.39800 | + | 0.379806i | ||||
\(275\) | 9.32531 | − | 177.937i | 0.0339102 | − | 0.647045i | ||||
\(276\) | 16.6281 | + | 317.284i | 0.0602468 | + | 1.14958i | ||||
\(277\) | 238.866 | − | 265.288i | 0.862333 | − | 0.957718i | −0.137128 | − | 0.990553i | \(-0.543787\pi\) |
0.999461 | + | 0.0328354i | \(0.0104537\pi\) | |||||||
\(278\) | −316.196 | + | 547.668i | −1.13740 | + | 1.97003i | ||||
\(279\) | −4.32458 | − | 13.3097i | −0.0155003 | − | 0.0477050i | ||||
\(280\) | 22.4874 | − | 169.374i | 0.0803122 | − | 0.604908i | ||||
\(281\) | −0.667002 | + | 4.21129i | −0.00237367 | + | 0.0149868i | −0.988847 | − | 0.148937i | \(-0.952415\pi\) |
0.986473 | + | 0.163923i | \(0.0524150\pi\) | |||||||
\(282\) | 91.0288 | − | 81.9627i | 0.322797 | − | 0.290648i | ||||
\(283\) | −38.5003 | − | 181.130i | −0.136044 | − | 0.640035i | −0.992339 | − | 0.123548i | \(-0.960573\pi\) |
0.856295 | − | 0.516487i | \(-0.172761\pi\) | |||||||
\(284\) | 146.338 | − | 546.141i | 0.515275 | − | 1.92303i | ||||
\(285\) | 12.2988 | + | 117.015i | 0.0431537 | + | 0.410580i | ||||
\(286\) | 512.163i | 1.79078i | ||||||||
\(287\) | 228.272 | + | 173.956i | 0.795374 | + | 0.606119i | ||||
\(288\) | 15.5209 | 0.0538920 | ||||||||
\(289\) | 279.274 | − | 29.3528i | 0.966345 | − | 0.101567i | ||||
\(290\) | −181.362 | − | 48.5957i | −0.625385 | − | 0.167571i | ||||
\(291\) | 441.158 | − | 93.7710i | 1.51601 | − | 0.322237i | ||||
\(292\) | 204.035 | + | 226.604i | 0.698752 | + | 0.776042i | ||||
\(293\) | −214.572 | − | 33.9849i | −0.732329 | − | 0.115990i | −0.220878 | − | 0.975302i | \(-0.570892\pi\) |
−0.511452 | + | 0.859312i | \(0.670892\pi\) | |||||||
\(294\) | −401.586 | + | 290.427i | −1.36594 | + | 0.987847i | ||||
\(295\) | 46.9365 | − | 15.2506i | 0.159107 | − | 0.0516969i | ||||
\(296\) | 351.895 | + | 203.167i | 1.18884 | + | 0.686375i | ||||
\(297\) | 198.222 | + | 178.480i | 0.667414 | + | 0.600942i | ||||
\(298\) | 731.404 | − | 38.3313i | 2.45438 | − | 0.128628i | ||||
\(299\) | −234.318 | − | 12.2801i | −0.783673 | − | 0.0410705i | ||||
\(300\) | −56.6121 | + | 357.435i | −0.188707 | + | 1.19145i | ||||
\(301\) | −224.362 | + | 365.226i | −0.745387 | + | 1.21338i | ||||
\(302\) | −322.956 | − | 633.837i | −1.06939 | − | 2.09880i | ||||
\(303\) | −299.781 | + | 133.471i | −0.989377 | + | 0.440499i | ||||
\(304\) | 30.6237 | − | 1.60492i | 0.100736 | − | 0.00527934i | ||||
\(305\) | 138.159 | + | 61.5126i | 0.452982 | + | 0.201681i | ||||
\(306\) | −40.0384 | − | 15.3693i | −0.130844 | − | 0.0502265i | ||||
\(307\) | 71.6521 | + | 52.0583i | 0.233395 | + | 0.169571i | 0.698335 | − | 0.715771i | \(-0.253924\pi\) |
−0.464941 | + | 0.885342i | \(0.653924\pi\) | |||||||
\(308\) | −291.769 | − | 381.104i | −0.947301 | − | 1.23735i | ||||
\(309\) | 256.552 | − | 40.6338i | 0.830264 | − | 0.131501i | ||||
\(310\) | −23.9755 | − | 228.112i | −0.0773403 | − | 0.735844i | ||||
\(311\) | 541.280 | − | 28.3673i | 1.74045 | − | 0.0912131i | 0.844552 | − | 0.535474i | \(-0.179867\pi\) |
0.895897 | + | 0.444261i | \(0.146534\pi\) | |||||||
\(312\) | 43.9443 | − | 418.102i | 0.140847 | − | 1.34007i | ||||
\(313\) | −31.1644 | + | 594.652i | −0.0995668 | + | 1.89985i | 0.258285 | + | 0.966069i | \(0.416843\pi\) |
−0.357852 | + | 0.933778i | \(0.616491\pi\) | |||||||
\(314\) | 405.037 | + | 405.037i | 1.28993 | + | 1.28993i | ||||
\(315\) | −8.71030 | + | 5.97238i | −0.0276517 | + | 0.0189599i | ||||
\(316\) | 608.514 | − | 310.054i | 1.92568 | − | 0.981182i | ||||
\(317\) | −201.163 | − | 309.764i | −0.634584 | − | 0.977174i | −0.998945 | − | 0.0459164i | \(-0.985379\pi\) |
0.364361 | − | 0.931258i | \(-0.381287\pi\) | |||||||
\(318\) | 313.833 | + | 282.577i | 0.986896 | + | 0.888606i | ||||
\(319\) | −184.608 | + | 106.583i | −0.578707 | + | 0.334117i | ||||
\(320\) | 272.630 | + | 57.9493i | 0.851969 | + | 0.181092i | ||||
\(321\) | 310.403 | − | 49.1631i | 0.966989 | − | 0.153156i | ||||
\(322\) | 289.413 | − | 198.441i | 0.898797 | − | 0.616277i | ||||
\(323\) | 314.493 | + | 102.185i | 0.973661 | + | 0.316362i | ||||
\(324\) | −384.687 | − | 427.238i | −1.18731 | − | 1.31864i | ||||
\(325\) | −258.154 | − | 69.1722i | −0.794320 | − | 0.212837i | ||||
\(326\) | −120.969 | + | 271.702i | −0.371072 | + | 0.833441i | ||||
\(327\) | −368.464 | − | 212.733i | −1.12680 | − | 0.650559i | ||||
\(328\) | 242.428 | − | 271.650i | 0.739110 | − | 0.828200i | ||||
\(329\) | −81.2575 | − | 24.1665i | −0.246983 | − | 0.0734543i | ||||
\(330\) | −166.900 | − | 229.718i | −0.505757 | − | 0.696115i | ||||
\(331\) | 474.152 | − | 127.049i | 1.43248 | − | 0.383833i | 0.542588 | − | 0.839999i | \(-0.317444\pi\) |
0.889895 | + | 0.456166i | \(0.150778\pi\) | |||||||
\(332\) | 104.788 | + | 492.991i | 0.315628 | + | 1.48491i | ||||
\(333\) | −5.22195 | − | 24.5673i | −0.0156815 | − | 0.0737757i | ||||
\(334\) | −218.452 | + | 269.765i | −0.654046 | + | 0.807680i | ||||
\(335\) | −92.0754 | + | 14.5833i | −0.274852 | + | 0.0435323i | ||||
\(336\) | 24.9745 | + | 40.8552i | 0.0743290 | + | 0.121593i | ||||
\(337\) | − | 53.0478i | − | 0.157412i | −0.996898 | − | 0.0787060i | \(-0.974921\pi\) | ||
0.996898 | − | 0.0787060i | \(-0.0250788\pi\) | |||||||
\(338\) | 210.358 | + | 44.7130i | 0.622361 | + | 0.132287i | ||||
\(339\) | −7.75908 | − | 148.052i | −0.0228881 | − | 0.436732i | ||||
\(340\) | −369.399 | − | 239.891i | −1.08647 | − | 0.705561i | ||||
\(341\) | −202.373 | − | 163.878i | −0.593469 | − | 0.480582i | ||||
\(342\) | −17.5988 | − | 17.5988i | −0.0514584 | − | 0.0514584i | ||||
\(343\) | 316.457 | + | 132.302i | 0.922616 | + | 0.385719i | ||||
\(344\) | 439.924 | + | 319.624i | 1.27885 | + | 0.929138i | ||||
\(345\) | 109.099 | − | 70.8500i | 0.316230 | − | 0.205362i | ||||
\(346\) | 369.527 | − | 829.972i | 1.06800 | − | 2.39876i | ||||
\(347\) | −171.020 | − | 211.192i | −0.492852 | − | 0.608622i | 0.468662 | − | 0.883378i | \(-0.344736\pi\) |
−0.961514 | + | 0.274756i | \(0.911403\pi\) | |||||||
\(348\) | 395.515 | − | 176.095i | 1.13654 | − | 0.506019i | ||||
\(349\) | 188.489 | + | 136.945i | 0.540083 | + | 0.392393i | 0.824116 | − | 0.566421i | \(-0.191672\pi\) |
−0.284033 | + | 0.958815i | \(0.591672\pi\) | |||||||
\(350\) | 369.439 | − | 152.553i | 1.05554 | − | 0.435864i | ||||
\(351\) | 323.674 | − | 235.163i | 0.922149 | − | 0.669980i | ||||
\(352\) | 242.212 | − | 157.294i | 0.688102 | − | 0.446859i | ||||
\(353\) | −529.320 | − | 55.6338i | −1.49949 | − | 0.157603i | −0.681069 | − | 0.732220i | \(-0.738484\pi\) |
−0.818423 | + | 0.574617i | \(0.805151\pi\) | |||||||
\(354\) | −98.9087 | + | 152.306i | −0.279403 | + | 0.430243i | ||||
\(355\) | −223.611 | + | 59.9163i | −0.629889 | + | 0.168778i | ||||
\(356\) | −85.8296 | + | 541.907i | −0.241094 | + | 1.52221i | ||||
\(357\) | 93.5401 | + | 507.802i | 0.262017 | + | 1.42242i | ||||
\(358\) | 284.793 | − | 558.937i | 0.795510 | − | 1.56128i | ||||
\(359\) | −493.622 | − | 104.922i | −1.37499 | − | 0.292263i | −0.539601 | − | 0.841921i | \(-0.681425\pi\) |
−0.835390 | + | 0.549658i | \(0.814758\pi\) | |||||||
\(360\) | 6.69908 | + | 11.6031i | 0.0186085 | + | 0.0322309i | ||||
\(361\) | −125.665 | − | 113.150i | −0.348103 | − | 0.313434i | ||||
\(362\) | −91.3848 | + | 238.066i | −0.252444 | + | 0.657640i | ||||
\(363\) | 50.9015 | + | 8.06201i | 0.140225 | + | 0.0222094i | ||||
\(364\) | −650.129 | + | 309.222i | −1.78607 | + | 0.849510i | ||||
\(365\) | 38.5802 | − | 118.738i | 0.105699 | − | 0.325309i | ||||
\(366\) | −537.547 | + | 144.035i | −1.46871 | + | 0.393539i | ||||
\(367\) | −543.389 | − | 241.932i | −1.48062 | − | 0.659216i | −0.501998 | − | 0.864869i | \(-0.667402\pi\) |
−0.978625 | + | 0.205653i | \(0.934068\pi\) | |||||||
\(368\) | −16.9522 | − | 29.3620i | −0.0460657 | − | 0.0797881i | ||||
\(369\) | −22.5051 | + | 0.0995200i | −0.0609894 | + | 0.000269702i | ||||
\(370\) | − | 411.646i | − | 1.11256i | ||||||
\(371\) | 53.5773 | − | 287.320i | 0.144413 | − | 0.774447i | ||||
\(372\) | 373.980 | + | 373.980i | 1.00532 | + | 1.00532i | ||||
\(373\) | −37.0322 | − | 41.1284i | −0.0992820 | − | 0.110264i | 0.691456 | − | 0.722419i | \(-0.256970\pi\) |
−0.790738 | + | 0.612155i | \(0.790303\pi\) | |||||||
\(374\) | −780.580 | + | 165.917i | −2.08711 | + | 0.443629i | ||||
\(375\) | 336.566 | − | 129.196i | 0.897509 | − | 0.344521i | ||||
\(376\) | −38.5416 | + | 100.404i | −0.102504 | + | 0.267033i | ||||
\(377\) | 98.8037 | + | 304.087i | 0.262079 | + | 0.806596i | ||||
\(378\) | −170.566 | + | 573.511i | −0.451232 | + | 1.51722i | ||||
\(379\) | −69.9693 | − | 215.343i | −0.184616 | − | 0.568188i | 0.815326 | − | 0.579002i | \(-0.196558\pi\) |
−0.999942 | + | 0.0108139i | \(0.996558\pi\) | |||||||
\(380\) | −139.215 | − | 214.372i | −0.366355 | − | 0.564138i | ||||
\(381\) | −174.369 | + | 268.505i | −0.457662 | + | 0.704737i | ||||
\(382\) | 123.165 | + | 320.855i | 0.322421 | + | 0.839936i | ||||
\(383\) | −459.374 | + | 123.089i | −1.19941 | + | 0.321381i | −0.802599 | − | 0.596519i | \(-0.796550\pi\) |
−0.396812 | + | 0.917900i | \(0.629883\pi\) | |||||||
\(384\) | −602.433 | + | 306.955i | −1.56884 | + | 0.799362i | ||||
\(385\) | −75.4027 | + | 181.476i | −0.195851 | + | 0.471365i | ||||
\(386\) | 515.108 | + | 262.461i | 1.33448 | + | 0.679950i | ||||
\(387\) | −3.51338 | − | 33.4276i | −0.00907851 | − | 0.0863762i | ||||
\(388\) | −761.450 | + | 616.610i | −1.96250 | + | 1.58920i | ||||
\(389\) | 48.8019 | + | 5.12928i | 0.125455 | + | 0.0131858i | 0.167048 | − | 0.985949i | \(-0.446577\pi\) |
−0.0415930 | + | 0.999135i | \(0.513243\pi\) | |||||||
\(390\) | −389.081 | + | 173.230i | −0.997643 | + | 0.444179i | ||||
\(391\) | −57.1925 | − | 361.099i | −0.146272 | − | 0.923527i | ||||
\(392\) | 198.398 | − | 387.276i | 0.506116 | − | 0.987950i | ||||
\(393\) | −276.399 | − | 140.832i | −0.703306 | − | 0.358352i | ||||
\(394\) | −816.281 | + | 363.432i | −2.07178 | + | 0.922415i | ||||
\(395\) | −234.514 | − | 152.295i | −0.593707 | − | 0.385558i | ||||
\(396\) | 36.3546 | + | 9.74118i | 0.0918045 | + | 0.0245989i | ||||
\(397\) | 240.333 | + | 194.618i | 0.605374 | + | 0.490222i | 0.882312 | − | 0.470666i | \(-0.155986\pi\) |
−0.276938 | + | 0.960888i | \(0.589320\pi\) | |||||||
\(398\) | −345.277 | − | 677.644i | −0.867530 | − | 1.70262i | ||||
\(399\) | −70.2710 | + | 291.293i | −0.176118 | + | 0.730058i | ||||
\(400\) | −11.9336 | − | 36.7278i | −0.0298340 | − | 0.0918196i | ||||
\(401\) | −201.220 | − | 116.174i | −0.501794 | − | 0.289711i | 0.227660 | − | 0.973741i | \(-0.426893\pi\) |
−0.729454 | + | 0.684030i | \(0.760226\pi\) | |||||||
\(402\) | 229.539 | − | 254.929i | 0.570993 | − | 0.634151i | ||||
\(403\) | −303.546 | + | 245.807i | −0.753216 | + | 0.609942i | ||||
\(404\) | 448.637 | − | 554.020i | 1.11049 | − | 1.37134i | ||||
\(405\) | −72.7389 | + | 223.867i | −0.179602 | + | 0.552759i | ||||
\(406\) | −393.779 | − | 271.273i | −0.969899 | − | 0.668159i | ||||
\(407\) | −330.466 | − | 330.466i | −0.811955 | − | 0.811955i | ||||
\(408\) | 651.460 | − | 68.4712i | 1.59671 | − | 0.167821i | ||||
\(409\) | −325.553 | + | 187.958i | −0.795974 | + | 0.459556i | −0.842061 | − | 0.539382i | \(-0.818658\pi\) |
0.0460878 | + | 0.998937i | \(0.485325\pi\) | |||||||
\(410\) | −361.130 | − | 75.0931i | −0.880806 | − | 0.183154i | ||||
\(411\) | 543.913 | + | 314.028i | 1.32339 | + | 0.764059i | ||||
\(412\) | −456.522 | + | 331.682i | −1.10806 | + | 0.805054i | ||||
\(413\) | 125.640 | + | 3.42777i | 0.304212 | + | 0.00829969i | ||||
\(414\) | −8.50320 | + | 26.1702i | −0.0205391 | + | 0.0632129i | ||||
\(415\) | 153.354 | − | 138.081i | 0.369528 | − | 0.332725i | ||||
\(416\) | −155.241 | − | 404.416i | −0.373175 | − | 0.972154i | ||||
\(417\) | −463.989 | + | 375.731i | −1.11268 | + | 0.901034i | ||||
\(418\) | −452.991 | − | 96.2863i | −1.08371 | − | 0.230350i | ||||
\(419\) | 510.739 | 1.21895 | 0.609474 | − | 0.792806i | \(-0.291381\pi\) | ||||
0.609474 | + | 0.792806i | \(0.291381\pi\) | |||||||
\(420\) | 190.833 | − | 350.553i | 0.454363 | − | 0.834650i | ||||
\(421\) | 165.640 | − | 325.086i | 0.393443 | − | 0.772176i | −0.606291 | − | 0.795243i | \(-0.707343\pi\) |
0.999734 | + | 0.0230673i | \(0.00734321\pi\) | |||||||
\(422\) | 31.4221 | − | 599.569i | 0.0744599 | − | 1.42078i | ||||
\(423\) | 6.20616 | − | 2.38232i | 0.0146718 | − | 0.00563196i | ||||
\(424\) | −358.149 | − | 95.9658i | −0.844692 | − | 0.226335i | ||||
\(425\) | 21.7942 | − | 415.857i | 0.0512804 | − | 0.978488i | ||||
\(426\) | 500.713 | − | 689.173i | 1.17538 | − | 1.61778i | ||||
\(427\) | 279.091 | + | 265.429i | 0.653608 | + | 0.621613i | ||||
\(428\) | −552.348 | + | 401.304i | −1.29053 | + | 0.937627i | ||||
\(429\) | −173.283 | + | 451.417i | −0.403923 | + | 1.05225i | ||||
\(430\) | 57.5832 | − | 547.868i | 0.133915 | − | 1.27411i | ||||
\(431\) | −510.106 | − | 53.6144i | −1.18354 | − | 0.124395i | −0.507761 | − | 0.861498i | \(-0.669527\pi\) |
−0.675781 | + | 0.737103i | \(0.736193\pi\) | |||||||
\(432\) | 53.9705 | + | 20.7173i | 0.124932 | + | 0.0479568i | ||||
\(433\) | 277.087 | + | 381.378i | 0.639925 | + | 0.880781i | 0.998612 | − | 0.0526770i | \(-0.0167754\pi\) |
−0.358687 | + | 0.933458i | \(0.616775\pi\) | |||||||
\(434\) | 136.987 | − | 567.851i | 0.315639 | − | 1.30841i | ||||
\(435\) | −143.410 | − | 104.193i | −0.329677 | − | 0.239524i | ||||
\(436\) | 923.034 | + | 48.3742i | 2.11705 | + | 0.110950i | ||||
\(437\) | 54.9130 | − | 204.938i | 0.125659 | − | 0.468966i | ||||
\(438\) | 164.639 | + | 428.900i | 0.375889 | + | 0.979224i | ||||
\(439\) | −177.127 | − | 9.28281i | −0.403477 | − | 0.0211454i | −0.150482 | − | 0.988613i | \(-0.548082\pi\) |
−0.252996 | + | 0.967467i | \(0.581416\pi\) | |||||||
\(440\) | 222.133 | + | 113.183i | 0.504848 | + | 0.257233i | ||||
\(441\) | −25.9953 | + | 6.90439i | −0.0589463 | + | 0.0156562i | ||||
\(442\) | 1196.97i | 2.70809i | ||||||||
\(443\) | 35.1883 | − | 165.548i | 0.0794318 | − | 0.373697i | −0.920420 | − | 0.390932i | \(-0.872153\pi\) |
0.999851 | + | 0.0172345i | \(0.00548619\pi\) | |||||||
\(444\) | 597.347 | + | 737.662i | 1.34538 | + | 1.66140i | ||||
\(445\) | 209.722 | − | 80.5048i | 0.471286 | − | 0.180910i | ||||
\(446\) | −276.289 | − | 306.850i | −0.619483 | − | 0.688005i | ||||
\(447\) | 657.624 | + | 213.675i | 1.47119 | + | 0.478020i | ||||
\(448\) | 604.822 | + | 371.548i | 1.35005 | + | 0.829348i | ||||
\(449\) | 364.528 | + | 501.730i | 0.811866 | + | 1.11744i | 0.991033 | + | 0.133619i | \(0.0426598\pi\) |
−0.179167 | + | 0.983819i | \(0.557340\pi\) | |||||||
\(450\) | −15.6712 | + | 27.1434i | −0.0348250 | + | 0.0603187i | ||||
\(451\) | −350.196 | + | 229.628i | −0.776487 | + | 0.509153i | ||||
\(452\) | 161.038 | + | 278.926i | 0.356279 | + | 0.617094i | ||||
\(453\) | −70.2020 | − | 667.928i | −0.154971 | − | 1.47445i | ||||
\(454\) | −177.894 | + | 177.894i | −0.391838 | + | 0.391838i | ||||
\(455\) | 242.738 | + | 167.221i | 0.533491 | + | 0.367520i | ||||
\(456\) | 361.536 | + | 117.470i | 0.792843 | + | 0.257610i | ||||
\(457\) | −509.112 | − | 412.271i | −1.11403 | − | 0.902124i | −0.118168 | − | 0.992994i | \(-0.537702\pi\) |
−0.995863 | + | 0.0908693i | \(0.971035\pi\) | |||||||
\(458\) | 442.501 | + | 546.443i | 0.966159 | + | 1.19311i | ||||
\(459\) | 463.264 | + | 417.125i | 1.00929 | + | 0.908769i | ||||
\(460\) | −141.302 | + | 244.743i | −0.307179 | + | 0.532050i | ||||
\(461\) | 755.512 | − | 245.481i | 1.63885 | − | 0.532496i | 0.662572 | − | 0.748998i | \(-0.269465\pi\) |
0.976282 | + | 0.216502i | \(0.0694648\pi\) | |||||||
\(462\) | −204.623 | − | 693.585i | −0.442906 | − | 1.50127i | ||||
\(463\) | 166.012 | − | 84.5873i | 0.358557 | − | 0.182694i | −0.265427 | − | 0.964131i | \(-0.585513\pi\) |
0.623984 | + | 0.781437i | \(0.285513\pi\) | |||||||
\(464\) | −29.0748 | + | 35.9044i | −0.0626612 | + | 0.0773801i | ||||
\(465\) | 56.0464 | − | 209.168i | 0.120530 | − | 0.449824i | ||||
\(466\) | 272.970 | − | 420.337i | 0.585772 | − | 0.902010i | ||||
\(467\) | 161.327 | + | 362.347i | 0.345454 | + | 0.775903i | 0.999806 | + | 0.0197123i | \(0.00627501\pi\) |
−0.654352 | + | 0.756190i | \(0.727058\pi\) | |||||||
\(468\) | 25.6292 | − | 50.3001i | 0.0547632 | − | 0.107479i | ||||
\(469\) | −233.392 | − | 43.5213i | −0.497638 | − | 0.0927959i | ||||
\(470\) | 107.612 | − | 17.0441i | 0.228962 | − | 0.0362641i | ||||
\(471\) | 219.959 | + | 494.035i | 0.467004 | + | 1.04891i | ||||
\(472\) | 16.6669 | − | 158.575i | 0.0353113 | − | 0.335964i | ||||
\(473\) | −393.596 | − | 486.050i | −0.832126 | − | 1.02759i | ||||
\(474\) | 1023.33 | − | 107.556i | 2.15891 | − | 0.226911i | ||||
\(475\) | 109.713 | − | 215.324i | 0.230975 | − | 0.453315i | ||||
\(476\) | −681.892 | − | 890.678i | −1.43255 | − | 1.87117i | ||||
\(477\) | 10.4049 | + | 20.4208i | 0.0218132 | + | 0.0428108i | ||||
\(478\) | −66.7570 | − | 249.140i | −0.139659 | − | 0.521214i | ||||
\(479\) | 84.7967 | − | 32.5504i | 0.177029 | − | 0.0679549i | −0.268239 | − | 0.963352i | \(-0.586442\pi\) |
0.445268 | + | 0.895397i | \(0.353108\pi\) | |||||||
\(480\) | 201.418 | + | 130.802i | 0.419620 | + | 0.272504i | ||||
\(481\) | −587.902 | + | 381.788i | −1.22225 | + | 0.793738i | ||||
\(482\) | 867.187 | − | 281.766i | 1.79914 | − | 0.584577i | ||||
\(483\) | 322.226 | − | 76.9863i | 0.667135 | − | 0.159392i | ||||
\(484\) | −106.479 | + | 34.5973i | −0.219999 | + | 0.0714820i | ||||
\(485\) | 374.523 | + | 143.766i | 0.772212 | + | 0.296424i | ||||
\(486\) | −34.7207 | − | 90.4504i | −0.0714417 | − | 0.186112i | ||||
\(487\) | −183.134 | − | 861.578i | −0.376045 | − | 1.76915i | −0.605510 | − | 0.795838i | \(-0.707031\pi\) |
0.229465 | − | 0.973317i | \(-0.426302\pi\) | |||||||
\(488\) | 363.112 | − | 326.948i | 0.744083 | − | 0.669975i | ||||
\(489\) | −198.548 | + | 198.548i | −0.406029 | + | 0.406029i | ||||
\(490\) | −440.272 | + | 22.1062i | −0.898515 | + | 0.0451147i | ||||
\(491\) | −883.872 | −1.80015 | −0.900073 | − | 0.435739i | \(-0.856487\pi\) | ||||
−0.900073 | + | 0.435739i | \(0.856487\pi\) | |||||||
\(492\) | 756.107 | − | 389.477i | 1.53680 | − | 0.791620i | ||||
\(493\) | −431.446 | + | 249.095i | −0.875144 | + | 0.505265i | ||||
\(494\) | −282.534 | + | 634.582i | −0.571931 | + | 1.28458i | ||||
\(495\) | −3.98841 | − | 14.8849i | −0.00805739 | − | 0.0300706i | ||||
\(496\) | −53.6763 | − | 17.4405i | −0.108218 | − | 0.0351622i | ||||
\(497\) | −587.699 | − | 46.9010i | −1.18249 | − | 0.0943682i | ||||
\(498\) | −118.789 | + | 750.005i | −0.238532 | + | 1.50603i | ||||
\(499\) | 158.786 | + | 60.9523i | 0.318209 | + | 0.122149i | 0.512230 | − | 0.858848i | \(-0.328820\pi\) |
−0.194021 | + | 0.980997i | \(0.562153\pi\) | |||||||
\(500\) | −524.056 | + | 582.023i | −1.04811 | + | 1.16405i | ||||
\(501\) | −283.813 | + | 163.860i | −0.566493 | + | 0.327065i | ||||
\(502\) | −152.808 | + | 718.904i | −0.304398 | + | 1.43208i | ||||
\(503\) | −126.495 | − | 64.4522i | −0.251480 | − | 0.128136i | 0.323707 | − | 0.946157i | \(-0.395071\pi\) |
−0.575187 | + | 0.818022i | \(0.695071\pi\) | |||||||
\(504\) | 6.18140 | + | 33.5570i | 0.0122647 | + | 0.0665814i | ||||
\(505\) | −288.291 | − | 45.6608i | −0.570873 | − | 0.0904174i | ||||
\(506\) | 132.521 | + | 494.574i | 0.261899 | + | 0.977419i | ||||
\(507\) | 170.280 | + | 110.581i | 0.335859 | + | 0.218109i | ||||
\(508\) | 72.7016 | − | 691.710i | 0.143113 | − | 1.36163i | ||||
\(509\) | 118.291 | + | 182.152i | 0.232399 | + | 0.357863i | 0.935560 | − | 0.353167i | \(-0.114895\pi\) |
−0.703161 | + | 0.711031i | \(0.748229\pi\) | |||||||
\(510\) | −390.062 | − | 536.874i | −0.764827 | − | 1.05269i | ||||
\(511\) | 193.836 | − | 252.039i | 0.379326 | − | 0.493228i | ||||
\(512\) | 83.0110 | − | 114.255i | 0.162131 | − | 0.223154i | ||||
\(513\) | 147.144 | + | 330.490i | 0.286829 | + | 0.644230i | ||||
\(514\) | −640.010 | + | 518.270i | −1.24516 | + | 1.00831i | ||||
\(515\) | 211.068 | + | 93.9734i | 0.409840 | + | 0.182473i | ||||
\(516\) | 691.833 | + | 1065.33i | 1.34076 | + | 2.06459i | ||||
\(517\) | 72.7072 | − | 100.073i | 0.140633 | − | 0.193565i | ||||
\(518\) | 351.031 | − | 987.840i | 0.677666 | − | 1.90703i | ||||
\(519\) | 606.509 | − | 606.509i | 1.16861 | − | 1.16861i | ||||
\(520\) | 235.330 | − | 290.608i | 0.452557 | − | 0.558861i | ||||
\(521\) | 43.7900 | − | 67.4307i | 0.0840499 | − | 0.129425i | −0.794145 | − | 0.607728i | \(-0.792081\pi\) |
0.878195 | + | 0.478303i | \(0.158748\pi\) | |||||||
\(522\) | 37.4450 | − | 1.96241i | 0.0717337 | − | 0.00375940i | ||||
\(523\) | −12.6313 | + | 59.4257i | −0.0241517 | + | 0.113625i | −0.988572 | − | 0.150748i | \(-0.951832\pi\) |
0.964421 | + | 0.264373i | \(0.0851650\pi\) | |||||||
\(524\) | 673.914 | 1.28610 | ||||||||
\(525\) | 377.235 | − | 9.46459i | 0.718544 | − | 0.0180278i | ||||
\(526\) | 24.9705 | + | 157.657i | 0.0474724 | + | 0.299729i | ||||
\(527\) | −472.965 | − | 383.000i | −0.897467 | − | 0.726755i | ||||
\(528\) | −68.3416 | + | 14.5264i | −0.129435 | + | 0.0275122i | ||||
\(529\) | 287.991 | − | 61.2145i | 0.544407 | − | 0.115717i | ||||
\(530\) | 97.2206 | + | 362.832i | 0.183435 | + | 0.684589i | ||||
\(531\) | −7.97350 | + | 5.79309i | −0.0150160 | + | 0.0109098i | ||||
\(532\) | −151.273 | − | 633.151i | −0.284347 | − | 1.19013i | ||||
\(533\) | 227.690 | + | 585.402i | 0.427186 | + | 1.09832i | ||||
\(534\) | −413.318 | + | 715.888i | −0.774004 | + | 1.34061i | ||||
\(535\) | 255.372 | + | 113.699i | 0.477331 | + | 0.212521i | ||||
\(536\) | −77.9537 | + | 290.927i | −0.145436 | + | 0.542775i | ||||
\(537\) | 440.123 | − | 396.288i | 0.819596 | − | 0.737967i | ||||
\(538\) | 89.2631 | − | 274.724i | 0.165917 | − | 0.510639i | ||||
\(539\) | −335.699 | + | 371.193i | −0.622819 | + | 0.688669i | ||||
\(540\) | −75.3809 | − | 475.936i | −0.139594 | − | 0.881363i | ||||
\(541\) | −117.365 | + | 552.157i | −0.216940 | + | 1.02062i | 0.726008 | + | 0.687686i | \(0.241373\pi\) |
−0.942949 | + | 0.332938i | \(0.891960\pi\) | |||||||
\(542\) | 27.7863 | + | 48.1272i | 0.0512662 | + | 0.0887956i | ||||
\(543\) | −161.092 | + | 178.911i | −0.296671 | + | 0.329486i | ||||
\(544\) | 566.073 | − | 367.612i | 1.04058 | − | 0.675758i | ||||
\(545\) | −171.810 | − | 337.196i | −0.315247 | − | 0.618708i | ||||
\(546\) | −1081.41 | + | 83.9165i | −1.98061 | + | 0.153693i | ||||
\(547\) | 382.887 | − | 382.887i | 0.699977 | − | 0.699977i | −0.264428 | − | 0.964405i | \(-0.585183\pi\) |
0.964405 | + | 0.264428i | \(0.0851833\pi\) | |||||||
\(548\) | −1362.55 | − | 71.4082i | −2.48640 | − | 0.130307i | ||||
\(549\) | −30.0367 | − | 3.15699i | −0.0547117 | − | 0.00575043i | ||||
\(550\) | 30.5226 | + | 582.406i | 0.0554956 | + | 1.05892i | ||||
\(551\) | −287.530 | + | 30.2206i | −0.521832 | + | 0.0548468i | ||||
\(552\) | −65.7477 | − | 415.114i | −0.119108 | − | 0.752019i | ||||
\(553\) | −432.901 | − | 565.449i | −0.782823 | − | 1.02251i | ||||
\(554\) | −686.785 | + | 945.279i | −1.23968 | + | 1.70628i | ||||
\(555\) | 139.275 | − | 362.823i | 0.250945 | − | 0.653735i | ||||
\(556\) | 527.555 | − | 1184.91i | 0.948839 | − | 2.13113i | ||||
\(557\) | 55.8091 | + | 1064.90i | 0.100196 | + | 1.91185i | 0.339006 | + | 0.940784i | \(0.389909\pi\) |
−0.238810 | + | 0.971066i | \(0.576757\pi\) | |||||||
\(558\) | 18.6309 | + | 41.8457i | 0.0333887 | + | 0.0749922i | ||||
\(559\) | −835.856 | + | 425.890i | −1.49527 | + | 0.761878i | ||||
\(560\) | −1.16158 | + | 42.5760i | −0.00207425 | + | 0.0760286i | ||||
\(561\) | −744.134 | − | 117.859i | −1.32644 | − | 0.210088i | ||||
\(562\) | 0.730388 | − | 13.9366i | 0.00129962 | − | 0.0247983i | ||||
\(563\) | 5.89877 | + | 112.555i | 0.0104774 | + | 0.199921i | 0.998853 | + | 0.0478872i | \(0.0152488\pi\) |
−0.988375 | + | 0.152033i | \(0.951418\pi\) | |||||||
\(564\) | −168.106 | + | 186.701i | −0.298060 | + | 0.331030i | ||||
\(565\) | 65.9351 | − | 114.203i | 0.116699 | − | 0.202129i | ||||
\(566\) | 187.295 | + | 576.435i | 0.330910 | + | 1.01844i | ||||
\(567\) | −365.457 | + | 475.193i | −0.644544 | + | 0.838083i | ||||
\(568\) | −117.003 | + | 738.730i | −0.205992 | + | 1.30058i | ||||
\(569\) | 213.719 | − | 192.434i | 0.375605 | − | 0.338197i | −0.459609 | − | 0.888122i | \(-0.652010\pi\) |
0.835214 | + | 0.549925i | \(0.185344\pi\) | |||||||
\(570\) | −80.0693 | − | 376.696i | −0.140472 | − | 0.660871i | ||||
\(571\) | 180.648 | − | 674.187i | 0.316371 | − | 1.18071i | −0.606335 | − | 0.795209i | \(-0.707361\pi\) |
0.922706 | − | 0.385504i | \(-0.125972\pi\) | |||||||
\(572\) | −109.802 | − | 1044.70i | −0.191961 | − | 1.82639i | ||||
\(573\) | 324.471i | 0.566268i | ||||||||
\(574\) | −802.579 | − | 488.157i | −1.39822 | − | 0.850447i | ||||
\(575\) | −267.187 | −0.464673 | ||||||||
\(576\) | −55.3568 | + | 5.81824i | −0.0961056 | + | 0.0101011i | ||||
\(577\) | 710.505 | + | 190.379i | 1.23138 | + | 0.329947i | 0.815116 | − | 0.579298i | \(-0.196673\pi\) |
0.416262 | + | 0.909245i | \(0.363340\pi\) | |||||||
\(578\) | −899.038 | + | 191.097i | −1.55543 | + | 0.330617i | ||||
\(579\) | 365.213 | + | 405.611i | 0.630766 | + | 0.700536i | ||||
\(580\) | 380.355 | + | 60.2423i | 0.655784 | + | 0.103866i | ||||
\(581\) | 485.757 | − | 200.584i | 0.836070 | − | 0.345239i | ||||
\(582\) | −1403.96 | + | 456.174i | −2.41230 | + | 0.783804i | ||||
\(583\) | 369.326 | + | 213.230i | 0.633492 | + | 0.365747i | ||||
\(584\) | −299.760 | − | 269.905i | −0.513287 | − | 0.462166i | ||||
\(585\) | −23.0823 | + | 1.20969i | −0.0394570 | + | 0.00206785i | ||||
\(586\) | 710.096 | + | 37.2145i | 1.21177 | + | 0.0635060i | ||||
\(587\) | 46.1342 | − | 291.280i | 0.0785932 | − | 0.496218i | −0.916721 | − | 0.399527i | \(-0.869174\pi\) |
0.995314 | − | 0.0966907i | \(-0.0308258\pi\) | |||||||
\(588\) | 756.880 | − | 678.500i | 1.28721 | − | 1.15391i | ||||
\(589\) | −160.342 | − | 314.688i | −0.272227 | − | 0.534275i | ||||
\(590\) | −147.568 | + | 65.7016i | −0.250115 | + | 0.111359i | ||||
\(591\) | −842.427 | + | 44.1497i | −1.42543 | + | 0.0747034i | ||||
\(592\) | −92.5332 | − | 41.1984i | −0.156306 | − | 0.0695919i | ||||
\(593\) | −523.623 | − | 201.000i | −0.883007 | − | 0.338955i | −0.125742 | − | 0.992063i | \(-0.540131\pi\) |
−0.757265 | + | 0.653108i | \(0.773465\pi\) | |||||||
\(594\) | −706.308 | − | 513.163i | −1.18907 | − | 0.863911i | ||||
\(595\) | −176.224 | + | 424.126i | −0.296174 | + | 0.712817i | ||||
\(596\) | −1483.68 | + | 234.992i | −2.48940 | + | 0.394281i | ||||
\(597\) | −75.0540 | − | 714.091i | −0.125719 | − | 1.19613i | ||||
\(598\) | 766.945 | − | 40.1939i | 1.28252 | − | 0.0672139i | ||||
\(599\) | −93.1183 | + | 885.961i | −0.155456 | + | 1.47907i | 0.587226 | + | 0.809423i | \(0.300220\pi\) |
−0.742682 | + | 0.669644i | \(0.766447\pi\) | |||||||
\(600\) | 25.0543 | − | 478.064i | 0.0417571 | − | 0.796773i | ||||
\(601\) | −394.375 | − | 394.375i | −0.656198 | − | 0.656198i | 0.298280 | − | 0.954478i | \(-0.403587\pi\) |
−0.954478 | + | 0.298280i | \(0.903587\pi\) | |||||||
\(602\) | 605.378 | − | 1265.63i | 1.00561 | − | 2.10238i | ||||
\(603\) | 16.5879 | − | 8.45197i | 0.0275090 | − | 0.0140165i | ||||
\(604\) | 794.644 | + | 1223.64i | 1.31564 | + | 2.02590i | ||||
\(605\) | 34.0660 | + | 30.6731i | 0.0563074 | + | 0.0506994i | ||||
\(606\) | 930.172 | − | 537.035i | 1.53494 | − | 0.886197i | ||||
\(607\) | 635.750 | + | 135.133i | 1.04736 | + | 0.222624i | 0.699286 | − | 0.714842i | \(-0.253501\pi\) |
0.348077 | + | 0.937466i | \(0.386835\pi\) | |||||||
\(608\) | 386.878 | − | 61.2754i | 0.636312 | − | 0.100782i | ||||
\(609\) | −255.293 | − | 372.328i | −0.419201 | − | 0.611375i | ||||
\(610\) | −470.777 | − | 152.965i | −0.771766 | − | 0.250762i | ||||
\(611\) | −124.149 | − | 137.881i | −0.203189 | − | 0.225664i | ||||
\(612\) | 84.9642 | + | 22.7661i | 0.138830 | + | 0.0371995i | ||||
\(613\) | 71.8233 | − | 161.318i | 0.117167 | − | 0.263161i | −0.845436 | − | 0.534076i | \(-0.820660\pi\) |
0.962603 | + | 0.270915i | \(0.0873262\pi\) | |||||||
\(614\) | −251.050 | − | 144.944i | −0.408876 | − | 0.236065i | ||||
\(615\) | −292.892 | − | 188.370i | −0.476246 | − | 0.306292i | ||||
\(616\) | 436.543 | + | 461.031i | 0.708674 | + | 0.748428i | ||||
\(617\) | 241.051 | + | 331.779i | 0.390683 | + | 0.537729i | 0.958375 | − | 0.285512i | \(-0.0921636\pi\) |
−0.567692 | + | 0.823241i | \(0.692164\pi\) | |||||||
\(618\) | −821.215 | + | 220.044i | −1.32883 | + | 0.356058i | ||||
\(619\) | 166.672 | + | 784.130i | 0.269260 | + | 1.26677i | 0.880014 | + | 0.474948i | \(0.157533\pi\) |
−0.610754 | + | 0.791820i | \(0.709134\pi\) | |||||||
\(620\) | 97.8090 | + | 460.155i | 0.157757 | + | 0.742186i | ||||
\(621\) | 251.711 | − | 310.837i | 0.405332 | − | 0.500543i | ||||
\(622\) | −1752.25 | + | 277.529i | −2.81712 | + | 0.446188i | ||||
\(623\) | 571.927 | − | 14.3493i | 0.918020 | − | 0.0230325i | ||||
\(624\) | 104.798i | 0.167945i | ||||||||
\(625\) | −112.938 | − | 24.0057i | −0.180700 | − | 0.0384090i | ||||
\(626\) | −102.004 | − | 1946.35i | −0.162946 | − | 3.10919i | ||||
\(627\) | −366.687 | − | 238.129i | −0.584827 | − | 0.379791i | ||||
\(628\) | −913.018 | − | 739.347i | −1.45385 | − | 1.17730i | ||||
\(629\) | −772.330 | − | 772.330i | −1.22787 | − | 1.22787i | ||||
\(630\) | 26.3101 | − | 22.4211i | 0.0417621 | − | 0.0355891i | ||||
\(631\) | 731.121 | + | 531.191i | 1.15867 | + | 0.841823i | 0.989609 | − | 0.143782i | \(-0.0459265\pi\) |
0.169061 | + | 0.985606i | \(0.445926\pi\) | |||||||
\(632\) | −757.680 | + | 492.043i | −1.19886 | + | 0.778550i | ||||
\(633\) | 230.551 | − | 517.825i | 0.364219 | − | 0.818049i | ||||
\(634\) | 760.799 | + | 939.509i | 1.20000 | + | 1.48187i | ||||
\(635\) | −260.152 | + | 115.827i | −0.409689 | + | 0.182405i | ||||
\(636\) | −700.729 | − | 509.110i | −1.10178 | − | 0.800487i | ||||
\(637\) | 439.909 | + | 608.281i | 0.690594 | + | 0.954916i | ||||
\(638\) | 564.462 | − | 410.106i | 0.884737 | − | 0.642799i | ||||
\(639\) | 38.7729 | − | 25.1794i | 0.0606774 | − | 0.0394044i | ||||
\(640\) | −598.107 | − | 62.8636i | −0.934543 | − | 0.0982244i | ||||
\(641\) | 628.406 | − | 967.660i | 0.980352 | − | 1.50961i | 0.124611 | − | 0.992206i | \(-0.460232\pi\) |
0.855741 | − | 0.517404i | \(-0.173102\pi\) | |||||||
\(642\) | −993.593 | + | 266.233i | −1.54765 | + | 0.414692i | ||||
\(643\) | 150.170 | − | 948.138i | 0.233546 | − | 1.47455i | −0.540457 | − | 0.841372i | \(-0.681748\pi\) |
0.774003 | − | 0.633182i | \(-0.218252\pi\) | |||||||
\(644\) | −547.792 | + | 466.821i | −0.850609 | + | 0.724878i | ||||
\(645\) | 236.117 | − | 463.405i | 0.366073 | − | 0.718458i | ||||
\(646\) | −1058.69 | − | 225.030i | −1.63883 | − | 0.348344i | ||||
\(647\) | 286.700 | + | 496.579i | 0.443122 | + | 0.767510i | 0.997919 | − | 0.0644754i | \(-0.0205374\pi\) |
−0.554797 | + | 0.831986i | \(0.687204\pi\) | |||||||
\(648\) | 565.165 | + | 508.876i | 0.872167 | + | 0.785303i | ||||
\(649\) | −65.7217 | + | 171.211i | −0.101266 | + | 0.263807i | ||||
\(650\) | 863.999 | + | 136.844i | 1.32923 | + | 0.210529i | ||||
\(651\) | 312.864 | − | 454.153i | 0.480590 | − | 0.697624i | ||||
\(652\) | 188.500 | − | 580.144i | 0.289111 | − | 0.889791i | ||||
\(653\) | 99.0319 | − | 26.5355i | 0.151657 | − | 0.0406363i | −0.182192 | − | 0.983263i | \(-0.558319\pi\) |
0.333849 | + | 0.942627i | \(0.391653\pi\) | |||||||
\(654\) | 1272.19 | + | 566.417i | 1.94525 | + | 0.866081i | ||||
\(655\) | −137.963 | − | 238.959i | −0.210630 | − | 0.364823i | ||||
\(656\) | −53.0227 | + | 73.6623i | −0.0808273 | + | 0.112290i | ||||
\(657\) | 24.9327i | 0.0379494i | ||||||||
\(658\) | 272.775 | + | 50.8650i | 0.414551 | + | 0.0773025i | ||||
\(659\) | 571.613 | + | 571.613i | 0.867394 | + | 0.867394i | 0.992183 | − | 0.124789i | \(-0.0398255\pi\) |
−0.124789 | + | 0.992183i | \(0.539825\pi\) | |||||||
\(660\) | 389.687 | + | 432.791i | 0.590435 | + | 0.655744i | ||||
\(661\) | 699.797 | − | 148.746i | 1.05869 | − | 0.225032i | 0.354512 | − | 0.935052i | \(-0.384647\pi\) |
0.704182 | + | 0.710019i | \(0.251314\pi\) | |||||||
\(662\) | −1499.97 | + | 575.786i | −2.26582 | + | 0.869767i | ||||
\(663\) | −404.979 | + | 1055.01i | −0.610828 | + | 1.59126i | ||||
\(664\) | −206.026 | − | 634.082i | −0.310280 | − | 0.954943i | ||||
\(665\) | −193.537 | + | 183.257i | −0.291032 | + | 0.275574i | ||||
\(666\) | 25.4035 | + | 78.1840i | 0.0381434 | + | 0.117393i | ||||
\(667\) | 174.092 | + | 268.078i | 0.261008 | + | 0.401917i | ||||
\(668\) | 387.757 | − | 597.093i | 0.580474 | − | 0.893852i | ||||
\(669\) | −139.701 | − | 363.935i | −0.208821 | − | 0.543998i | ||||
\(670\) | 294.731 | − | 78.9730i | 0.439897 | − | 0.117870i | ||||
\(671\) | −500.734 | + | 255.136i | −0.746250 | + | 0.380233i | ||||
\(672\) | 371.806 | + | 485.648i | 0.553283 | + | 0.722691i | ||||
\(673\) | 900.901 | + | 459.032i | 1.33863 | + | 0.682068i | 0.968989 | − | 0.247105i | \(-0.0794792\pi\) |
0.369645 | + | 0.929173i | \(0.379479\pi\) | |||||||
\(674\) | 18.1493 | + | 172.679i | 0.0269278 | + | 0.256201i | ||||
\(675\) | 354.052 | − | 286.705i | 0.524521 | − | 0.424749i | ||||
\(676\) | −438.668 | − | 46.1059i | −0.648918 | − | 0.0682040i | ||||
\(677\) | 613.132 | − | 272.984i | 0.905660 | − | 0.403226i | 0.0995780 | − | 0.995030i | \(-0.468251\pi\) |
0.806082 | + | 0.591804i | \(0.201584\pi\) | |||||||
\(678\) | 75.9104 | + | 479.279i | 0.111962 | + | 0.706901i | ||||
\(679\) | 776.157 | + | 664.373i | 1.14309 | + | 0.978458i | ||||
\(680\) | 519.147 | + | 264.519i | 0.763452 | + | 0.388998i | ||||
\(681\) | −216.983 | + | 96.6071i | −0.318624 | + | 0.141861i | ||||
\(682\) | 714.825 | + | 464.213i | 1.04813 | + | 0.680664i | ||||
\(683\) | 857.592 | + | 229.791i | 1.25563 | + | 0.336444i | 0.824507 | − | 0.565852i | \(-0.191453\pi\) |
0.431118 | + | 0.902295i | \(0.358119\pi\) | |||||||
\(684\) | 39.6705 | + | 32.1245i | 0.0579978 | + | 0.0469657i | ||||
\(685\) | 253.619 | + | 497.756i | 0.370247 | + | 0.726651i | ||||
\(686\) | −1075.39 | − | 322.393i | −1.56762 | − | 0.469961i | ||||
\(687\) | 205.137 | + | 631.346i | 0.298598 | + | 0.918989i | ||||
\(688\) | −117.391 | − | 67.7758i | −0.170627 | − | 0.0985113i | ||||
\(689\) | 428.018 | − | 475.362i | 0.621216 | − | 0.689930i | ||||
\(690\) | −330.896 | + | 267.955i | −0.479560 | + | 0.388340i | ||||
\(691\) | 633.012 | − | 781.705i | 0.916081 | − | 1.13127i | −0.0748901 | − | 0.997192i | \(-0.523861\pi\) |
0.990971 | − | 0.134074i | \(-0.0428061\pi\) | |||||||
\(692\) | −575.815 | + | 1772.18i | −0.832103 | + | 2.56095i | ||||
\(693\) | 3.12202 | − | 39.1209i | 0.00450509 | − | 0.0564516i | ||||
\(694\) | 628.953 | + | 628.953i | 0.906272 | + | 0.906272i | ||||
\(695\) | −528.149 | + | 55.5107i | −0.759926 | + | 0.0798715i | ||||
\(696\) | −495.984 | + | 286.357i | −0.712621 | + | 0.411432i | ||||
\(697\) | −818.442 | + | 536.663i | −1.17423 | + | 0.769961i | ||||
\(698\) | −660.416 | − | 381.291i | −0.946154 | − | 0.546262i | ||||
\(699\) | 382.809 | − | 278.127i | 0.547652 | − | 0.397892i | ||||
\(700\) | −720.866 | + | 390.376i | −1.02981 | + | 0.557680i | ||||
\(701\) | 368.139 | − | 1133.02i | 0.525162 | − | 1.61628i | −0.238832 | − | 0.971061i | \(-0.576764\pi\) |
0.763994 | − | 0.645223i | \(-0.223236\pi\) | |||||||
\(702\) | −973.156 | + | 876.233i | −1.38626 | + | 1.24820i | ||||
\(703\) | −227.154 | − | 591.756i | −0.323120 | − | 0.841758i | ||||
\(704\) | −804.910 | + | 651.803i | −1.14334 | + | 0.925857i | ||||
\(705\) | 100.615 | + | 21.3865i | 0.142717 | + | 0.0303354i | ||||
\(706\) | 1742.06 | 2.46750 | ||||||||
\(707\) | −652.883 | − | 355.413i | −0.923455 | − | 0.502706i | ||||
\(708\) | 169.099 | − | 331.875i | 0.238840 | − | 0.468749i | ||||
\(709\) | 17.4843 | − | 333.620i | 0.0246605 | − | 0.470551i | −0.958188 | − | 0.286138i | \(-0.907628\pi\) |
0.982849 | − | 0.184413i | \(-0.0590382\pi\) | |||||||
\(710\) | 707.390 | − | 271.542i | 0.996324 | − | 0.382453i | ||||
\(711\) | 53.9398 | + | 14.4531i | 0.0758646 | + | 0.0203279i | ||||
\(712\) | 37.9848 | − | 724.793i | 0.0533494 | − | 1.01797i | ||||
\(713\) | −229.520 | + | 315.907i | −0.321907 | + | 0.443067i | ||||
\(714\) | −478.224 | − | 1620.98i | −0.669781 | − | 2.27028i | ||||
\(715\) | −347.953 | + | 252.803i | −0.486648 | + | 0.353570i | ||||
\(716\) | −461.082 | + | 1201.16i | −0.643970 | + | 1.67760i | ||||
\(717\) | 25.4538 | − | 242.177i | 0.0355005 | − | 0.337765i | ||||
\(718\) | 1642.72 | + | 172.656i | 2.28790 | + | 0.240468i | ||||
\(719\) | −29.7767 | − | 11.4302i | −0.0414140 | − | 0.0158973i | 0.337573 | − | 0.941299i | \(-0.390394\pi\) |
−0.378987 | + | 0.925402i | \(0.623727\pi\) | |||||||
\(720\) | −1.96313 | − | 2.70201i | −0.00272656 | − | 0.00375279i | ||||
\(721\) | 426.369 | + | 405.498i | 0.591358 | + | 0.562411i | ||||
\(722\) | 447.773 | + | 325.326i | 0.620184 | + | 0.450590i | ||||
\(723\) | 859.665 | + | 45.0531i | 1.18902 | + | 0.0623141i | ||||
\(724\) | 135.366 | − | 505.191i | 0.186969 | − | 0.697778i | ||||
\(725\) | 130.477 | + | 339.904i | 0.179968 | + | 0.468833i | ||||
\(726\) | −168.451 | − | 8.82814i | −0.232026 | − | 0.0121600i | ||||
\(727\) | 73.2998 | + | 37.3481i | 0.100825 | + | 0.0513729i | 0.503676 | − | 0.863893i | \(-0.331981\pi\) |
−0.402851 | + | 0.915266i | \(0.631981\pi\) | |||||||
\(728\) | 812.543 | − | 496.703i | 1.11613 | − | 0.682284i | ||||
\(729\) | 679.280i | 0.931797i | ||||||||
\(730\) | −84.9611 | + | 399.710i | −0.116385 | + | 0.547548i | ||||
\(731\) | −919.872 | − | 1135.95i | −1.25837 | − | 1.55396i | ||||
\(732\) | 1065.59 | − | 409.043i | 1.45573 | − | 0.558802i | ||||
\(733\) | −305.217 | − | 338.978i | −0.416394 | − | 0.462453i | 0.498060 | − | 0.867143i | \(-0.334046\pi\) |
−0.914454 | + | 0.404690i | \(0.867379\pi\) | |||||||
\(734\) | 1851.59 | + | 601.619i | 2.52260 | + | 0.819644i | ||||
\(735\) | −395.533 | − | 129.475i | −0.538140 | − | 0.176157i | ||||
\(736\) | −254.551 | − | 350.359i | −0.345857 | − | 0.476032i | ||||
\(737\) | 173.208 | − | 300.006i | 0.235018 | − | 0.407064i | ||||
\(738\) | 73.2237 | − | 8.02365i | 0.0992191 | − | 0.0108722i | ||||
\(739\) | −237.223 | − | 410.883i | −0.321006 | − | 0.555999i | 0.659690 | − | 0.751538i | \(-0.270688\pi\) |
−0.980696 | + | 0.195539i | \(0.937354\pi\) | |||||||
\(740\) | 88.2523 | + | 839.665i | 0.119260 | + | 1.13468i | ||||
\(741\) | −463.726 | + | 463.726i | −0.625810 | + | 0.625810i | ||||
\(742\) | −76.1018 | + | 953.603i | −0.102563 | + | 1.28518i | ||||
\(743\) | −6.97274 | − | 2.26558i | −0.00938458 | − | 0.00304923i | 0.304321 | − | 0.952570i | \(-0.401570\pi\) |
−0.313706 | + | 0.949520i | \(0.601570\pi\) | |||||||
\(744\) | −543.715 | − | 440.291i | −0.730799 | − | 0.591789i | ||||
\(745\) | 387.061 | + | 477.981i | 0.519545 | + | 0.641585i | ||||
\(746\) | 134.617 | + | 121.210i | 0.180452 | + | 0.162480i | ||||
\(747\) | −20.6053 | + | 35.6895i | −0.0275841 | + | 0.0477771i | ||||
\(748\) | 1556.63 | − | 505.781i | 2.08106 | − | 0.676178i | ||||
\(749\) | 515.867 | + | 490.615i | 0.688741 | + | 0.655027i | ||||
\(750\) | −1051.37 | + | 535.702i | −1.40183 | + | 0.714270i | ||||
\(751\) | −75.7979 | + | 93.6027i | −0.100929 | + | 0.124637i | −0.825108 | − | 0.564975i | \(-0.808886\pi\) |
0.724179 | + | 0.689612i | \(0.242219\pi\) | |||||||
\(752\) | 6.93875 | − | 25.8958i | 0.00922706 | − | 0.0344358i | ||||
\(753\) | −377.915 | + | 581.938i | −0.501879 | + | 0.772826i | ||||
\(754\) | −425.660 | − | 956.047i | −0.564535 | − | 1.26797i | ||||
\(755\) | 271.205 | − | 532.271i | 0.359212 | − | 0.704994i | ||||
\(756\) | 224.961 | − | 1206.40i | 0.297567 | − | 1.59577i | ||||
\(757\) | −1391.66 | + | 220.417i | −1.83838 | + | 0.291171i | −0.976433 | − | 0.215821i | \(-0.930757\pi\) |
−0.861951 | + | 0.506992i | \(0.830757\pi\) | |||||||
\(758\) | 301.437 | + | 677.039i | 0.397675 | + | 0.893192i | ||||
\(759\) | −50.5290 | + | 480.751i | −0.0665731 | + | 0.633401i | ||||
\(760\) | 212.791 | + | 262.775i | 0.279989 | + | 0.345757i | ||||
\(761\) | 240.727 | − | 25.3014i | 0.316329 | − | 0.0332475i | 0.0549665 | − | 0.998488i | \(-0.482495\pi\) |
0.261363 | + | 0.965241i | \(0.415828\pi\) | |||||||
\(762\) | 475.736 | − | 933.684i | 0.624325 | − | 1.22531i | ||||
\(763\) | −124.754 | − | 955.690i | −0.163504 | − | 1.25254i | ||||
\(764\) | −320.016 | − | 628.067i | −0.418869 | − | 0.822077i | ||||
\(765\) | −9.32130 | − | 34.7876i | −0.0121847 | − | 0.0454739i | ||||
\(766\) | 1453.23 | − | 557.841i | 1.89716 | − | 0.728252i | ||||
\(767\) | 230.697 | + | 149.817i | 0.300779 | + | 0.195328i | ||||
\(768\) | 804.803 | − | 522.645i | 1.04792 | − | 0.680527i | ||||
\(769\) | −599.107 | + | 194.662i | −0.779073 | + | 0.253136i | −0.671444 | − | 0.741055i | \(-0.734326\pi\) |
−0.107629 | + | 0.994191i | \(0.534326\pi\) | |||||||
\(770\) | 183.360 | − | 616.530i | 0.238130 | − | 0.800689i | ||||
\(771\) | −739.451 | + | 240.262i | −0.959080 | + | 0.311624i | ||||
\(772\) | −1106.97 | − | 424.926i | −1.43390 | − | 0.550423i | ||||
\(773\) | 95.3102 | + | 248.292i | 0.123299 | + | 0.321205i | 0.981312 | − | 0.192423i | \(-0.0616345\pi\) |
−0.858013 | + | 0.513628i | \(0.828301\pi\) | |||||||
\(774\) | 22.8733 | + | 107.610i | 0.0295520 | + | 0.139031i | ||||
\(775\) | −330.528 | + | 297.609i | −0.426488 | + | 0.384012i | ||||
\(776\) | 916.491 | − | 916.491i | 1.18105 | − | 1.18105i | ||||
\(777\) | 643.618 | − | 751.910i | 0.828338 | − | 0.967709i | ||||
\(778\) | −160.613 | −0.206443 | ||||||||
\(779\) | −560.575 | + | 91.3292i | −0.719608 | + | 0.117239i | ||||
\(780\) | 756.498 | − | 436.764i | 0.969869 | − | 0.559954i | ||||
\(781\) | 349.895 | − | 785.876i | 0.448009 | − | 1.00624i | ||||
\(782\) | 309.714 | + | 1155.87i | 0.396054 | + | 1.47809i | ||||
\(783\) | −518.353 | − | 168.423i | −0.662009 | − | 0.215100i | ||||
\(784\) | −39.0941 | + | 101.180i | −0.0498650 | + | 0.129057i | ||||
\(785\) | −75.2484 | + | 475.099i | −0.0958578 | + | 0.605222i | ||||
\(786\) | 947.907 | + | 363.868i | 1.20599 | + | 0.462936i | ||||
\(787\) | −307.975 | + | 342.041i | −0.391328 | + | 0.434613i | −0.906327 | − | 0.422577i | \(-0.861126\pi\) |
0.514999 | + | 0.857191i | \(0.327792\pi\) | |||||||
\(788\) | 1587.11 | − | 916.319i | 2.01410 | − | 1.16284i | ||||
\(789\) | −31.3323 | + | 147.407i | −0.0397114 | + | 0.186827i | ||||
\(790\) | 815.487 | + | 415.511i | 1.03226 | + | 0.525964i | ||||
\(791\) | 255.613 | − | 217.830i | 0.323152 | − | 0.275386i | ||||
\(792\) | −49.1745 | − | 7.78848i | −0.0620890 | − | 0.00983394i | ||||
\(793\) | 218.170 | + | 814.220i | 0.275119 | + | 1.02676i | ||||
\(794\) | −848.909 | − | 551.288i | −1.06916 | − | 0.694317i | ||||
\(795\) | −37.0693 | + | 352.691i | −0.0466281 | + | 0.443637i | ||||
\(796\) | 849.565 | + | 1308.22i | 1.06729 | + | 1.64349i | ||||
\(797\) | 837.621 | + | 1152.89i | 1.05097 | + | 1.44653i | 0.887968 | + | 0.459906i | \(0.152117\pi\) |
0.163000 | + | 0.986626i | \(0.447883\pi\) | |||||||
\(798\) | 129.083 | − | 972.248i | 0.161758 | − | 1.21836i | ||||
\(799\) | 169.924 | − | 233.880i | 0.212671 | − | 0.292716i | ||||
\(800\) | −200.633 | − | 450.630i | −0.250792 | − | 0.563287i | ||||
\(801\) | −34.8644 | + | 28.2327i | −0.0435261 | + | 0.0352468i | ||||
\(802\) | 694.749 | + | 309.322i | 0.866271 | + | 0.385689i | ||||
\(803\) | 252.678 | + | 389.089i | 0.314667 | + | 0.484545i | ||||
\(804\) | −413.553 | + | 569.207i | −0.514370 | + | 0.707969i | ||||
\(805\) | 277.671 | + | 98.6709i | 0.344932 | + | 0.122573i | ||||
\(806\) | 903.993 | − | 903.993i | 1.12158 | − | 1.12158i | ||||
\(807\) | 171.625 | − | 211.939i | 0.212670 | − | 0.262626i | ||||
\(808\) | −513.614 | + | 790.896i | −0.635661 | + | 0.978831i | ||||
\(809\) | −1143.39 | + | 59.9223i | −1.41333 | + | 0.0740696i | −0.743646 | − | 0.668574i | \(-0.766905\pi\) |
−0.669687 | + | 0.742643i | \(0.733572\pi\) | |||||||
\(810\) | 160.185 | − | 753.611i | 0.197759 | − | 0.930384i | ||||
\(811\) | 1486.71 | 1.83318 | 0.916589 | − | 0.399830i | \(-0.130931\pi\) | ||||
0.916589 | + | 0.399830i | \(0.130931\pi\) | |||||||
\(812\) | 861.377 | + | 468.913i | 1.06081 | + | 0.577479i | ||||
\(813\) | 8.20750 | + | 51.8201i | 0.0100953 | + | 0.0637394i | ||||
\(814\) | 1188.78 | + | 962.657i | 1.46042 | + | 1.18262i | ||||
\(815\) | −244.299 | + | 51.9274i | −0.299753 | + | 0.0637145i | ||||
\(816\) | −159.721 | + | 33.9497i | −0.195736 | + | 0.0416051i | ||||
\(817\) | −219.545 | − | 819.354i | −0.268721 | − | 1.00288i | ||||
\(818\) | 995.422 | − | 723.217i | 1.21690 | − | 0.884128i | ||||
\(819\) | −56.4229 | − | 16.7805i | −0.0688925 | − | 0.0204890i | ||||
\(820\) | 752.723 | + | 75.7505i | 0.917954 | + | 0.0923786i | ||||
\(821\) | 627.922 | − | 1087.59i | 0.764826 | − | 1.32472i | −0.175513 | − | 0.984477i | \(-0.556158\pi\) |
0.940339 | − | 0.340240i | \(-0.110508\pi\) | |||||||
\(822\) | −1877.96 | − | 836.124i | −2.28463 | − | 1.01718i | ||||
\(823\) | −343.998 | + | 1283.82i | −0.417980 | + | 1.55992i | 0.360811 | + | 0.932639i | \(0.382500\pi\) |
−0.778791 | + | 0.627284i | \(0.784167\pi\) | |||||||
\(824\) | 554.730 | − | 499.481i | 0.673216 | − | 0.606167i | ||||
\(825\) | −170.146 | + | 523.656i | −0.206238 | + | 0.634735i | ||||
\(826\) | −410.151 | + | 31.8273i | −0.496550 | + | 0.0385319i | ||||
\(827\) | −100.527 | − | 634.701i | −0.121556 | − | 0.767474i | −0.970874 | − | 0.239592i | \(-0.922986\pi\) |
0.849318 | − | 0.527882i | \(-0.177014\pi\) | |||||||
\(828\) | 11.7340 | − | 55.2041i | 0.0141715 | − | 0.0666717i | ||||
\(829\) | 4.78308 | + | 8.28453i | 0.00576970 | + | 0.00999341i | 0.868896 | − | 0.494995i | \(-0.164830\pi\) |
−0.863126 | + | 0.504988i | \(0.831497\pi\) | |||||||
\(830\) | −451.951 | + | 501.943i | −0.544520 | + | 0.604750i | ||||
\(831\) | −925.150 | + | 600.800i | −1.11330 | + | 0.722984i | ||||
\(832\) | 705.283 | + | 1384.20i | 0.847696 | + | 1.66370i | ||||
\(833\) | −784.562 | + | 867.514i | −0.941852 | + | 1.04143i | ||||
\(834\) | 1381.81 | − | 1381.81i | 1.65685 | − | 1.65685i | ||||
\(835\) | −291.100 | − | 15.2559i | −0.348623 | − | 0.0182706i | ||||
\(836\) | 944.641 | + | 99.2858i | 1.12995 | + | 0.118763i | ||||
\(837\) | −34.8458 | − | 664.898i | −0.0416318 | − | 0.794382i | ||||
\(838\) | −1662.54 | + | 174.740i | −1.98394 | + | 0.208520i | ||||
\(839\) | −88.4693 | − | 558.573i | −0.105446 | − | 0.665761i | −0.982626 | − | 0.185598i | \(-0.940578\pi\) |
0.877180 | − | 0.480162i | \(-0.159422\pi\) | |||||||
\(840\) | −202.584 | + | 487.570i | −0.241172 | + | 0.580440i | ||||
\(841\) | −238.305 | + | 327.998i | −0.283359 | + | 0.390010i | ||||
\(842\) | −427.962 | + | 1114.88i | −0.508268 | + | 1.32408i | ||||
\(843\) | 5.35902 | − | 12.0365i | 0.00635708 | − | 0.0142782i | ||||
\(844\) | 64.4469 | + | 1229.72i | 0.0763589 | + | 1.45701i | ||||
\(845\) | 73.4553 | + | 164.983i | 0.0869294 | + | 0.195247i | ||||
\(846\) | −19.3870 | + | 9.87816i | −0.0229161 | + | 0.0116763i | ||||
\(847\) | 55.5926 | + | 102.657i | 0.0656347 | + | 0.121201i | ||||
\(848\) | 91.2903 | + | 14.4590i | 0.107654 | + | 0.0170507i | ||||
\(849\) | −29.9476 | + | 571.435i | −0.0352740 | + | 0.673068i | ||||
\(850\) | 71.3343 | + | 1361.14i | 0.0839227 | + | 1.60134i | ||||
\(851\) | −468.926 | + | 520.795i | −0.551029 | + | 0.611980i | ||||
\(852\) | −873.590 | + | 1513.10i | −1.02534 | + | 1.77594i | ||||
\(853\) | −517.980 | − | 1594.18i | −0.607245 | − | 1.86891i | −0.480555 | − | 0.876965i | \(-0.659565\pi\) |
−0.126690 | − | 0.991942i | \(-0.540435\pi\) | |||||||
\(854\) | −999.297 | − | 768.529i | −1.17014 | − | 0.899917i | ||||
\(855\) | 3.26953 | − | 20.6430i | 0.00382401 | − | 0.0241439i | ||||
\(856\) | 671.172 | − | 604.326i | 0.784079 | − | 0.705988i | ||||
\(857\) | 20.7085 | + | 97.4260i | 0.0241640 | + | 0.113683i | 0.988577 | − | 0.150719i | \(-0.0481589\pi\) |
−0.964413 | + | 0.264402i | \(0.914826\pi\) | |||||||
\(858\) | 409.620 | − | 1528.72i | 0.477413 | − | 1.78173i | ||||
\(859\) | −14.1329 | − | 134.466i | −0.0164527 | − | 0.156537i | 0.983211 | − | 0.182473i | \(-0.0584102\pi\) |
−0.999664 | + | 0.0259356i | \(0.991744\pi\) | |||||||
\(860\) | 1129.87i | 1.31380i | ||||||||
\(861\) | −542.228 | − | 701.800i | −0.629766 | − | 0.815098i | ||||
\(862\) | 1678.82 | 1.94759 | ||||||||
\(863\) | −1091.73 | + | 114.745i | −1.26504 | + | 0.132961i | −0.713181 | − | 0.700980i | \(-0.752746\pi\) |
−0.551854 | + | 0.833940i | \(0.686080\pi\) | |||||||
\(864\) | 713.262 | + | 191.118i | 0.825535 | + | 0.221201i | ||||
\(865\) | 746.265 | − | 158.623i | 0.862734 | − | 0.183380i | ||||
\(866\) | −1032.45 | − | 1146.65i | −1.19220 | − | 1.32407i | ||||
\(867\) | −857.062 | − | 135.745i | −0.988538 | − | 0.156569i | ||||
\(868\) | −157.682 | + | 1187.66i | −0.181661 | + | 1.36827i | ||||
\(869\) | 988.233 | − | 321.096i | 1.13721 | − | 0.369501i | ||||
\(870\) | 502.469 | + | 290.101i | 0.577551 | + | 0.333449i | ||||
\(871\) | −386.140 | − | 347.682i | −0.443329 | − | 0.399176i | ||||
\(872\) | −1221.02 | + | 63.9909i | −1.40025 | + | 0.0733841i | ||||
\(873\) | −80.0052 | − | 4.19290i | −0.0916440 | − | 0.00480286i | ||||
\(874\) | −108.635 | + | 685.894i | −0.124296 | + | 0.784776i | ||||
\(875\) | 695.846 | + | 427.465i | 0.795253 | + | 0.488531i | ||||
\(876\) | −427.778 | − | 839.562i | −0.488331 | − | 0.958404i | ||||
\(877\) | −1220.94 | + | 543.600i | −1.39218 | + | 0.619840i | −0.959501 | − | 0.281706i | \(-0.909100\pi\) |
−0.432683 | + | 0.901546i | \(0.642433\pi\) | |||||||
\(878\) | 579.752 | − | 30.3835i | 0.660309 | − | 0.0346054i | ||||
\(879\) | 613.283 | + | 273.051i | 0.697706 | + | 0.310639i | ||||
\(880\) | −58.0188 | − | 22.2713i | −0.0659305 | − | 0.0253083i | ||||
\(881\) | −247.057 | − | 179.497i | −0.280428 | − | 0.203743i | 0.438676 | − | 0.898645i | \(-0.355447\pi\) |
−0.719104 | + | 0.694903i | \(0.755447\pi\) | |||||||
\(882\) | 82.2567 | − | 31.3687i | 0.0932616 | − | 0.0355654i | ||||
\(883\) | 228.999 | − | 36.2698i | 0.259342 | − | 0.0410757i | −0.0254097 | − | 0.999677i | \(-0.508089\pi\) |
0.284751 | + | 0.958601i | \(0.408089\pi\) | |||||||
\(884\) | −256.618 | − | 2441.56i | −0.290292 | − | 2.76194i | ||||
\(885\) | −152.295 | + | 7.98144i | −0.172085 | + | 0.00901857i | ||||
\(886\) | −57.9045 | + | 550.924i | −0.0653549 | + | 0.621811i | ||||
\(887\) | 8.55053 | − | 163.154i | 0.00963983 | − | 0.183939i | −0.989566 | − | 0.144083i | \(-0.953977\pi\) |
0.999205 | − | 0.0398559i | \(-0.0126899\pi\) | |||||||
\(888\) | −887.861 | − | 887.861i | −0.999843 | − | 0.999843i | ||||
\(889\) | −723.067 | + | 56.1094i | −0.813348 | + | 0.0631151i | ||||
\(890\) | −655.136 | + | 333.809i | −0.736108 | + | 0.375066i | ||||
\(891\) | −476.396 | − | 733.586i | −0.534676 | − | 0.823329i | ||||
\(892\) | 629.353 | + | 566.672i | 0.705552 | + | 0.635282i | ||||
\(893\) | 145.291 | − | 83.8838i | 0.162700 | − | 0.0939348i | ||||
\(894\) | −2213.78 | − | 470.553i | −2.47626 | − | 0.526346i | ||||
\(895\) | 520.304 | − | 82.4080i | 0.581345 | − | 0.0920760i | ||||
\(896\) | −1381.69 | − | 660.891i | −1.54206 | − | 0.737602i | ||||
\(897\) | 689.580 | + | 224.058i | 0.768763 | + | 0.249786i | ||||
\(898\) | −1358.25 | − | 1508.49i | −1.51253 | − | 1.67984i | ||||
\(899\) | 513.966 | + | 137.717i | 0.571709 | + | 0.153189i | ||||
\(900\) | 26.1465 | − | 58.7261i | 0.0290517 | − | 0.0652512i | ||||
\(901\) | 863.150 | + | 498.340i | 0.957991 | + | 0.553097i | ||||
\(902\) | 1061.38 | − | 867.289i | 1.17670 | − | 0.961517i | ||||
\(903\) | 961.785 | − | 910.699i | 1.06510 | − | 1.00853i | ||||
\(904\) | −250.428 | − | 344.684i | −0.277022 | − | 0.381288i | ||||
\(905\) | −206.844 | + | 55.4238i | −0.228557 | + | 0.0612418i | ||||
\(906\) | 457.038 | + | 2150.19i | 0.504457 | + | 2.37328i | ||||
\(907\) | −203.812 | − | 958.860i | −0.224710 | − | 1.05718i | −0.935378 | − | 0.353650i | \(-0.884940\pi\) |
0.710668 | − | 0.703528i | \(-0.248393\pi\) | |||||||
\(908\) | 324.725 | − | 401.002i | 0.357627 | − | 0.441633i | ||||
\(909\) | 57.5729 | − | 9.11866i | 0.0633366 | − | 0.0100315i | ||||
\(910\) | −847.365 | − | 461.285i | −0.931170 | − | 0.506906i | ||||
\(911\) | 1432.27i | 1.57220i | 0.618100 | + | 0.786100i | \(0.287903\pi\) | ||||
−0.618100 | + | 0.786100i | \(0.712097\pi\) | |||||||
\(912\) | −92.6903 | − | 19.7019i | −0.101634 | − | 0.0216030i | ||||
\(913\) | 40.1326 | + | 765.776i | 0.0439569 | + | 0.838747i | ||||
\(914\) | 1798.29 | + | 1167.83i | 1.96750 | + | 1.27771i | ||||
\(915\) | −363.187 | − | 294.103i | −0.396925 | − | 0.321424i | ||||
\(916\) | −1019.75 | − | 1019.75i | −1.11327 | − | 1.11327i | ||||
\(917\) | −127.302 | − | 691.084i | −0.138824 | − | 0.753636i | ||||
\(918\) | −1650.71 | − | 1199.31i | −1.79816 | − | 1.30644i | ||||
\(919\) | 689.510 | − | 447.773i | 0.750283 | − | 0.487239i | −0.111974 | − | 0.993711i | \(-0.535717\pi\) |
0.862257 | + | 0.506472i | \(0.169051\pi\) | |||||||
\(920\) | 152.054 | − | 341.519i | 0.165276 | − | 0.371216i | ||||
\(921\) | −172.234 | − | 212.692i | −0.187008 | − | 0.230936i | ||||
\(922\) | −2375.33 | + | 1057.56i | −2.57628 | + | 1.14703i | ||||
\(923\) | −1043.89 | − | 758.429i | −1.13097 | − | 0.821700i | ||||
\(924\) | 566.081 | + | 1370.89i | 0.612641 | + | 1.48364i | ||||
\(925\) | −645.780 | + | 469.186i | −0.698140 | + | 0.507228i | ||||
\(926\) | −511.456 | + | 332.143i | −0.552328 | + | 0.358686i | ||||
\(927\) | −45.8874 | − | 4.82296i | −0.0495010 | − | 0.00520276i | ||||
\(928\) | −321.406 | + | 494.922i | −0.346343 | + | 0.533321i | ||||
\(929\) | −1247.33 | + | 334.220i | −1.34266 | + | 0.359763i | −0.857419 | − | 0.514620i | \(-0.827933\pi\) |
−0.485237 | + | 0.874383i | \(0.661267\pi\) | |||||||
\(930\) | −110.877 | + | 700.051i | −0.119223 | + | 0.752743i | ||||
\(931\) | −620.708 | + | 274.728i | −0.666711 | + | 0.295089i | ||||
\(932\) | −466.681 | + | 915.912i | −0.500730 | + | 0.982738i | ||||
\(933\) | −1638.32 | − | 348.236i | −1.75597 | − | 0.373243i | ||||
\(934\) | −649.116 | − | 1124.30i | −0.694985 | − | 1.20375i | ||||
\(935\) | −498.014 | − | 448.414i | −0.532635 | − | 0.479587i | ||||
\(936\) | −26.7622 | + | 69.7179i | −0.0285921 | + | 0.0744849i | ||||
\(937\) | −864.553 | − | 136.932i | −0.922681 | − | 0.146138i | −0.323020 | − | 0.946392i | \(-0.604698\pi\) |
−0.599662 | + | 0.800254i | \(0.704698\pi\) | |||||||
\(938\) | 774.619 | + | 61.8180i | 0.825820 | + | 0.0659041i | ||||
\(939\) | 568.614 | − | 1750.01i | 0.605553 | − | 1.86370i | ||||
\(940\) | −215.850 | + | 57.8369i | −0.229628 | + | 0.0615287i | ||||
\(941\) | 245.705 | + | 109.395i | 0.261110 | + | 0.116254i | 0.533117 | − | 0.846042i | \(-0.321021\pi\) |
−0.272007 | + | 0.962295i | \(0.587687\pi\) | |||||||
\(942\) | −885.027 | − | 1532.91i | −0.939519 | − | 1.62729i | ||||
\(943\) | 371.342 | + | 506.384i | 0.393788 | + | 0.536993i | ||||
\(944\) | 39.7471i | 0.0421050i | ||||||||
\(945\) | −473.823 | + | 167.205i | −0.501400 | + | 0.176937i | ||||
\(946\) | 1447.51 | + | 1447.51i | 1.53014 | + | 1.53014i | ||||
\(947\) | −947.362 | − | 1052.15i | −1.00038 | − | 1.11104i | −0.993814 | − | 0.111058i | \(-0.964576\pi\) |
−0.00656792 | − | 0.999978i | \(-0.502091\pi\) | |||||||
\(948\) | −2064.29 | + | 438.779i | −2.17752 | + | 0.462847i | ||||
\(949\) | 649.653 | − | 249.379i | 0.684566 | − | 0.262780i | ||||
\(950\) | −283.465 | + | 738.453i | −0.298385 | + | 0.777318i | ||||
\(951\) | 352.695 | + | 1085.48i | 0.370867 | + | 1.14141i | ||||
\(952\) | 1020.24 | + | 1077.48i | 1.07169 | + | 1.13180i | ||||
\(953\) | 382.463 | + | 1177.10i | 0.401326 | + | 1.23515i | 0.923924 | + | 0.382575i | \(0.124963\pi\) |
−0.522599 | + | 0.852579i | \(0.675037\pi\) | |||||||
\(954\) | −40.8562 | − | 62.9131i | −0.0428262 | − | 0.0659466i | ||||
\(955\) | −157.189 | + | 242.050i | −0.164596 | + | 0.253455i | ||||
\(956\) | 189.582 | + | 493.878i | 0.198307 | + | 0.516608i | ||||
\(957\) | 636.267 | − | 170.487i | 0.664856 | − | 0.178148i | ||||
\(958\) | −264.891 | + | 134.968i | −0.276504 | + | 0.140886i | ||||
\(959\) | 184.157 | + | 1410.75i | 0.192030 | + | 1.47107i | ||||
\(960\) | −767.410 | − | 391.015i | −0.799385 | − | 0.407307i | ||||
\(961\) | −32.5070 | − | 309.283i | −0.0338262 | − | 0.321835i | ||||
\(962\) | 1783.09 | − | 1443.92i | 1.85353 | − | 1.50096i | ||||
\(963\) | −55.5194 | − | 5.83533i | −0.0576526 | − | 0.00605953i | ||||
\(964\) | −1708.46 | + | 760.653i | −1.77226 | + | 0.789060i | ||||
\(965\) | 75.9460 | + | 479.504i | 0.0787005 | + | 0.496895i | ||||
\(966\) | −1022.56 | + | 360.847i | −1.05855 | + | 0.373547i | ||||
\(967\) | −1309.83 | − | 667.391i | −1.35453 | − | 0.690166i | −0.382264 | − | 0.924053i | \(-0.624855\pi\) |
−0.972264 | + | 0.233887i | \(0.924855\pi\) | |||||||
\(968\) | 135.299 | − | 60.2390i | 0.139772 | − | 0.0622303i | ||||
\(969\) | −856.983 | − | 556.531i | −0.884400 | − | 0.574336i | ||||
\(970\) | −1268.32 | − | 339.845i | −1.30755 | − | 0.350356i | ||||
\(971\) | 1151.99 | + | 932.860i | 1.18639 | + | 0.960721i | 0.999764 | − | 0.0217093i | \(-0.00691084\pi\) |
0.186628 | + | 0.982431i | \(0.440244\pi\) | |||||||
\(972\) | 90.2138 | + | 177.055i | 0.0928125 | + | 0.182155i | ||||
\(973\) | −1314.75 | − | 317.168i | −1.35123 | − | 0.325969i | ||||
\(974\) | 890.904 | + | 2741.92i | 0.914686 | + | 2.81511i | ||||
\(975\) | 715.225 | + | 412.935i | 0.733564 | + | 0.423523i | ||||
\(976\) | −81.5010 | + | 90.5160i | −0.0835051 | + | 0.0927418i | ||||
\(977\) | 1014.11 | − | 821.213i | 1.03799 | − | 0.840545i | 0.0505756 | − | 0.998720i | \(-0.483894\pi\) |
0.987411 | + | 0.158175i | \(0.0505611\pi\) | |||||||
\(978\) | 578.377 | − | 714.236i | 0.591387 | − | 0.730303i | ||||
\(979\) | −257.959 | + | 793.915i | −0.263492 | + | 0.810945i | ||||
\(980\) | 893.315 | − | 139.481i | 0.911546 | − | 0.142327i | ||||
\(981\) | 53.4409 | + | 53.4409i | 0.0544760 | + | 0.0544760i | ||||
\(982\) | 2877.15 | − | 302.400i | 2.92988 | − | 0.307943i | ||||
\(983\) | −135.520 | + | 78.2426i | −0.137864 | + | 0.0795957i | −0.567346 | − | 0.823480i | \(-0.692030\pi\) |
0.429482 | + | 0.903076i | \(0.358696\pi\) | |||||||
\(984\) | −940.869 | + | 616.940i | −0.956168 | + | 0.626972i | ||||
\(985\) | −649.823 | − | 375.176i | −0.659719 | − | 0.380889i | ||||
\(986\) | 1319.20 | − | 958.457i | 1.33793 | − | 0.972066i | ||||
\(987\) | 223.213 | + | 137.122i | 0.226153 | + | 0.138928i | ||||
\(988\) | 440.258 | − | 1354.97i | 0.445605 | − | 1.37143i | ||||
\(989\) | −696.953 | + | 627.540i | −0.704705 | + | 0.634519i | ||||
\(990\) | 18.0755 | + | 47.0883i | 0.0182581 | + | 0.0475640i | ||||
\(991\) | 814.952 | − | 659.935i | 0.822353 | − | 0.665928i | −0.122845 | − | 0.992426i | \(-0.539202\pi\) |
0.945198 | + | 0.326497i | \(0.105868\pi\) | |||||||
\(992\) | −705.149 | − | 149.884i | −0.710836 | − | 0.151093i | ||||
\(993\) | −1516.88 | −1.52757 | ||||||||
\(994\) | 1929.10 | − | 48.3999i | 1.94075 | − | 0.0486920i | ||||
\(995\) | 289.950 | − | 569.058i | 0.291407 | − | 0.571918i | ||||
\(996\) | 81.5101 | − | 1555.31i | 0.0818375 | − | 1.56155i | ||||
\(997\) | 245.351 | − | 94.1815i | 0.246089 | − | 0.0944649i | −0.232197 | − | 0.972669i | \(-0.574591\pi\) |
0.478286 | + | 0.878204i | \(0.341258\pi\) | |||||||
\(998\) | −537.729 | − | 144.084i | −0.538806 | − | 0.144373i | ||||
\(999\) | 62.5377 | − | 1193.29i | 0.0626003 | − | 1.19449i |
(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 | 287.3.bd.a.5.6 | ✓ | 864 | |
7.3 | odd | 6 | inner | 287.3.bd.a.87.49 | yes | 864 | |
41.33 | even | 20 | inner | 287.3.bd.a.33.49 | yes | 864 | |
287.115 | odd | 60 | inner | 287.3.bd.a.115.6 | yes | 864 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.3.bd.a.5.6 | ✓ | 864 | 1.1 | even | 1 | trivial | |
287.3.bd.a.33.49 | yes | 864 | 41.33 | even | 20 | inner | |
287.3.bd.a.87.49 | yes | 864 | 7.3 | odd | 6 | inner | |
287.3.bd.a.115.6 | yes | 864 | 287.115 | odd | 60 | inner |