Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,3,Mod(5,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([23]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 162 = 2 \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 162.h (of order \(54\), degree \(18\), 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: | \(4.41418028264\) |
Analytic rank: | \(0\) |
Dimension: | \(324\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 5.15 | ||
Character | \(\chi\) | \(=\) | 162.5 |
Dual form | 162.3.h.a.65.15 |
$q$-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 \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{23}{54}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.326140 | + | 1.37609i | 0.163070 | + | 0.688047i | ||||
\(3\) | 1.73974 | − | 2.44404i | 0.579912 | − | 0.814679i | ||||
\(4\) | −1.78727 | + | 0.897598i | −0.446816 | + | 0.224400i | ||||
\(5\) | −6.68826 | + | 4.97922i | −1.33765 | + | 0.995844i | −0.339172 | + | 0.940725i | \(0.610147\pi\) |
−0.998480 | + | 0.0551199i | \(0.982446\pi\) | |||||||
\(6\) | 3.93062 | + | 1.59694i | 0.655103 | + | 0.266157i | ||||
\(7\) | −10.2458 | + | 6.73874i | −1.46368 | + | 0.962677i | −0.466749 | + | 0.884390i | \(0.654575\pi\) |
−0.996931 | + | 0.0782876i | \(0.975055\pi\) | |||||||
\(8\) | −1.81808 | − | 2.16670i | −0.227260 | − | 0.270838i | ||||
\(9\) | −2.94663 | − | 8.50396i | −0.327403 | − | 0.944885i | ||||
\(10\) | −9.03318 | − | 7.57974i | −0.903318 | − | 0.757974i | ||||
\(11\) | 1.17083 | − | 10.0171i | 0.106439 | − | 0.910642i | −0.829507 | − | 0.558497i | \(-0.811378\pi\) |
0.935945 | − | 0.352145i | \(-0.114548\pi\) | |||||||
\(12\) | −0.915608 | + | 5.92973i | −0.0763007 | + | 0.494144i | ||||
\(13\) | 3.87270 | + | 12.9357i | 0.297900 | + | 0.995054i | 0.967614 | + | 0.252435i | \(0.0812315\pi\) |
−0.669714 | + | 0.742619i | \(0.733583\pi\) | |||||||
\(14\) | −12.6147 | − | 11.9013i | −0.901049 | − | 0.850096i | ||||
\(15\) | 0.533594 | + | 25.0089i | 0.0355730 | + | 1.66726i | ||||
\(16\) | 2.38863 | − | 3.20849i | 0.149290 | − | 0.200531i | ||||
\(17\) | −9.14019 | − | 1.61166i | −0.537658 | − | 0.0948037i | −0.101776 | − | 0.994807i | \(-0.532453\pi\) |
−0.435882 | + | 0.900004i | \(0.643564\pi\) | |||||||
\(18\) | 10.7412 | − | 6.82832i | 0.596735 | − | 0.379351i | ||||
\(19\) | 4.22162 | + | 23.9420i | 0.222190 | + | 1.26010i | 0.867984 | + | 0.496592i | \(0.165416\pi\) |
−0.645794 | + | 0.763512i | \(0.723473\pi\) | |||||||
\(20\) | 7.48435 | − | 14.9026i | 0.374217 | − | 0.745128i | ||||
\(21\) | −1.35520 | + | 36.7647i | −0.0645331 | + | 1.75070i | ||||
\(22\) | 14.1663 | − | 1.65580i | 0.643921 | − | 0.0752636i | ||||
\(23\) | −9.36417 | + | 14.2375i | −0.407138 | + | 0.619023i | −0.979612 | − | 0.200900i | \(-0.935613\pi\) |
0.572474 | + | 0.819923i | \(0.305984\pi\) | |||||||
\(24\) | −8.45847 | + | 0.673959i | −0.352436 | + | 0.0280816i | ||||
\(25\) | 12.7700 | − | 42.6549i | 0.510801 | − | 1.70620i | ||||
\(26\) | −16.5377 | + | 9.54804i | −0.636065 | + | 0.367232i | ||||
\(27\) | −25.9104 | − | 7.59299i | −0.959643 | − | 0.281222i | ||||
\(28\) | 12.2632 | − | 21.2405i | 0.437972 | − | 0.758589i | ||||
\(29\) | 39.9428 | − | 37.6841i | 1.37734 | − | 1.29945i | 0.467797 | − | 0.883836i | \(-0.345048\pi\) |
0.909541 | − | 0.415615i | \(-0.136433\pi\) | |||||||
\(30\) | −34.2405 | + | 8.89067i | −1.14135 | + | 0.296356i | ||||
\(31\) | −1.02508 | + | 17.6000i | −0.0330672 | + | 0.567741i | 0.940564 | + | 0.339615i | \(0.110297\pi\) |
−0.973632 | + | 0.228126i | \(0.926740\pi\) | |||||||
\(32\) | 5.19421 | + | 2.24057i | 0.162319 | + | 0.0700177i | ||||
\(33\) | −22.4451 | − | 20.2886i | −0.680156 | − | 0.614806i | ||||
\(34\) | −0.763185 | − | 13.1034i | −0.0224466 | − | 0.385394i | ||||
\(35\) | 34.9726 | − | 96.0863i | 0.999216 | − | 2.74532i | ||||
\(36\) | 12.8996 | + | 12.5539i | 0.358321 | + | 0.348721i | ||||
\(37\) | −13.3742 | + | 4.86780i | −0.361464 | + | 0.131562i | −0.516367 | − | 0.856368i | \(-0.672716\pi\) |
0.154903 | + | 0.987930i | \(0.450494\pi\) | |||||||
\(38\) | −31.5696 | + | 13.6178i | −0.830778 | + | 0.358363i | ||||
\(39\) | 38.3528 | + | 13.0397i | 0.983405 | + | 0.334352i | ||||
\(40\) | 22.9483 | + | 5.43884i | 0.573706 | + | 0.135971i | ||||
\(41\) | −12.3914 | + | 52.2835i | −0.302230 | + | 1.27521i | 0.583921 | + | 0.811810i | \(0.301518\pi\) |
−0.886151 | + | 0.463397i | \(0.846630\pi\) | |||||||
\(42\) | −51.0336 | + | 10.1256i | −1.21509 | + | 0.241085i | ||||
\(43\) | 9.85169 | + | 22.8388i | 0.229109 | + | 0.531135i | 0.993528 | − | 0.113585i | \(-0.0362334\pi\) |
−0.764419 | + | 0.644720i | \(0.776974\pi\) | |||||||
\(44\) | 6.89872 | + | 18.9541i | 0.156789 | + | 0.430774i | ||||
\(45\) | 62.0509 | + | 42.2048i | 1.37891 | + | 0.937883i | ||||
\(46\) | −22.6462 | − | 8.24254i | −0.492309 | − | 0.179186i | ||||
\(47\) | −61.2180 | + | 3.56554i | −1.30251 | + | 0.0758626i | −0.695324 | − | 0.718697i | \(-0.744739\pi\) |
−0.607187 | + | 0.794559i | \(0.707702\pi\) | |||||||
\(48\) | −3.68608 | − | 11.4198i | −0.0767933 | − | 0.237913i | ||||
\(49\) | 40.1570 | − | 93.0945i | 0.819531 | − | 1.89989i | ||||
\(50\) | 62.8619 | + | 3.66129i | 1.25724 | + | 0.0732258i | ||||
\(51\) | −19.8405 | + | 19.5351i | −0.389029 | + | 0.383041i | ||||
\(52\) | −18.5326 | − | 19.6434i | −0.356396 | − | 0.377758i | ||||
\(53\) | −41.0042 | − | 23.6738i | −0.773665 | − | 0.446676i | 0.0605156 | − | 0.998167i | \(-0.480726\pi\) |
−0.834180 | + | 0.551492i | \(0.814059\pi\) | |||||||
\(54\) | 1.99825 | − | 38.1314i | 0.0370047 | − | 0.706138i | ||||
\(55\) | 42.0464 | + | 72.8265i | 0.764480 | + | 1.32412i | ||||
\(56\) | 33.2284 | + | 9.94794i | 0.593365 | + | 0.177642i | ||||
\(57\) | 65.8596 | + | 31.3350i | 1.15543 | + | 0.549736i | ||||
\(58\) | 64.8837 | + | 42.6747i | 1.11869 | + | 0.735771i | ||||
\(59\) | 0.286312 | + | 2.44956i | 0.00485275 | + | 0.0415179i | 0.995448 | − | 0.0953086i | \(-0.0303838\pi\) |
−0.990595 | + | 0.136827i | \(0.956310\pi\) | |||||||
\(60\) | −23.4016 | − | 44.2186i | −0.390027 | − | 0.736976i | ||||
\(61\) | 51.1488 | + | 25.6879i | 0.838505 | + | 0.421113i | 0.815594 | − | 0.578625i | \(-0.196410\pi\) |
0.0229107 | + | 0.999738i | \(0.492707\pi\) | |||||||
\(62\) | −24.5535 | + | 4.32945i | −0.396025 | + | 0.0698298i | ||||
\(63\) | 87.4965 | + | 67.2730i | 1.38883 | + | 1.06782i | ||||
\(64\) | −1.38919 | + | 7.87846i | −0.0217060 | + | 0.123101i | ||||
\(65\) | −90.3113 | − | 67.2343i | −1.38941 | − | 1.03437i | ||||
\(66\) | 20.5987 | − | 37.5035i | 0.312102 | − | 0.568235i | ||||
\(67\) | −57.4616 | + | 60.9057i | −0.857636 | + | 0.909041i | −0.996694 | − | 0.0812432i | \(-0.974111\pi\) |
0.139058 | + | 0.990284i | \(0.455592\pi\) | |||||||
\(68\) | 17.7826 | − | 5.32375i | 0.261508 | − | 0.0782905i | ||||
\(69\) | 18.5058 | + | 47.6559i | 0.268201 | + | 0.690666i | ||||
\(70\) | 143.630 | + | 16.7879i | 2.05185 | + | 0.239827i | ||||
\(71\) | 17.4693 | − | 20.8191i | 0.246046 | − | 0.293227i | −0.628860 | − | 0.777518i | \(-0.716478\pi\) |
0.874907 | + | 0.484292i | \(0.160923\pi\) | |||||||
\(72\) | −13.0683 | + | 21.8453i | −0.181505 | + | 0.303407i | ||||
\(73\) | 29.6557 | − | 24.8841i | 0.406243 | − | 0.340878i | −0.416658 | − | 0.909063i | \(-0.636799\pi\) |
0.822901 | + | 0.568185i | \(0.192354\pi\) | |||||||
\(74\) | −11.0604 | − | 16.8165i | −0.149465 | − | 0.227250i | ||||
\(75\) | −82.0336 | − | 105.419i | −1.09378 | − | 1.40558i | ||||
\(76\) | −29.0354 | − | 39.0014i | −0.382045 | − | 0.513176i | ||||
\(77\) | 55.5064 | + | 110.522i | 0.720862 | + | 1.43535i | ||||
\(78\) | −5.43548 | + | 57.0298i | −0.0696856 | + | 0.731152i | ||||
\(79\) | 17.8645 | − | 4.23396i | 0.226133 | − | 0.0535944i | −0.115987 | − | 0.993251i | \(-0.537003\pi\) |
0.342120 | + | 0.939656i | \(0.388855\pi\) | |||||||
\(80\) | 33.3528i | 0.416910i | ||||||||
\(81\) | −63.6347 | + | 50.1161i | −0.785614 | + | 0.618717i | ||||
\(82\) | −75.9883 | −0.926687 | ||||||||
\(83\) | −13.6865 | − | 57.7480i | −0.164898 | − | 0.695759i | −0.991182 | − | 0.132506i | \(-0.957698\pi\) |
0.826284 | − | 0.563253i | \(-0.190450\pi\) | |||||||
\(84\) | −30.5778 | − | 66.9246i | −0.364021 | − | 0.796721i | ||||
\(85\) | 69.1568 | − | 34.7318i | 0.813609 | − | 0.408610i | ||||
\(86\) | −28.2153 | + | 21.0055i | −0.328084 | + | 0.244250i | ||||
\(87\) | −22.6113 | − | 163.182i | −0.259900 | − | 1.87566i | ||||
\(88\) | −23.8326 | + | 15.6750i | −0.270825 | + | 0.178125i | ||||
\(89\) | 28.5879 | + | 34.0698i | 0.321213 | + | 0.382806i | 0.902354 | − | 0.430997i | \(-0.141838\pi\) |
−0.581141 | + | 0.813803i | \(0.697393\pi\) | |||||||
\(90\) | −37.8404 | + | 99.1525i | −0.420449 | + | 1.10169i | ||||
\(91\) | −126.849 | − | 106.439i | −1.39395 | − | 1.16966i | ||||
\(92\) | 3.95667 | − | 33.8515i | 0.0430073 | − | 0.367951i | ||||
\(93\) | 41.2316 | + | 33.1247i | 0.443351 | + | 0.356179i | ||||
\(94\) | −24.8722 | − | 83.0788i | −0.264597 | − | 0.883817i | ||||
\(95\) | −147.448 | − | 139.110i | −1.55208 | − | 1.46431i | ||||
\(96\) | 14.5126 | − | 8.79686i | 0.151173 | − | 0.0916339i | ||||
\(97\) | −46.5366 | + | 62.5095i | −0.479759 | + | 0.644428i | −0.974440 | − | 0.224646i | \(-0.927877\pi\) |
0.494681 | + | 0.869074i | \(0.335285\pi\) | |||||||
\(98\) | 141.203 | + | 24.8980i | 1.44085 | + | 0.254061i | ||||
\(99\) | −88.6347 | + | 19.5599i | −0.895300 | + | 0.197575i | ||||
\(100\) | 15.4635 | + | 87.6980i | 0.154635 | + | 0.876980i | ||||
\(101\) | −44.2785 | + | 88.1657i | −0.438401 | + | 0.872927i | 0.560594 | + | 0.828091i | \(0.310573\pi\) |
−0.998994 | + | 0.0448364i | \(0.985723\pi\) | |||||||
\(102\) | −33.3529 | − | 20.9312i | −0.326989 | − | 0.205208i | ||||
\(103\) | −24.8026 | + | 2.89901i | −0.240802 | + | 0.0281458i | −0.235638 | − | 0.971841i | \(-0.575718\pi\) |
−0.00516442 | + | 0.999987i | \(0.501644\pi\) | |||||||
\(104\) | 20.9869 | − | 31.9091i | 0.201798 | − | 0.306818i | ||||
\(105\) | −173.995 | − | 252.639i | −1.65710 | − | 2.40609i | ||||
\(106\) | 19.2042 | − | 64.1466i | 0.181172 | − | 0.605157i | ||||
\(107\) | 9.40845 | − | 5.43197i | 0.0879294 | − | 0.0507661i | −0.455391 | − | 0.890292i | \(-0.650500\pi\) |
0.543320 | + | 0.839526i | \(0.317167\pi\) | |||||||
\(108\) | 53.1241 | − | 9.68641i | 0.491890 | − | 0.0896890i | ||||
\(109\) | −64.4152 | + | 111.570i | −0.590965 | + | 1.02358i | 0.403138 | + | 0.915139i | \(0.367920\pi\) |
−0.994103 | + | 0.108442i | \(0.965414\pi\) | |||||||
\(110\) | −86.5030 | + | 81.6114i | −0.786391 | + | 0.741922i | ||||
\(111\) | −11.3705 | + | 41.1556i | −0.102436 | + | 0.370771i | ||||
\(112\) | −2.85217 | + | 48.9698i | −0.0254658 | + | 0.437231i | ||||
\(113\) | 104.365 | + | 45.0188i | 0.923587 | + | 0.398397i | 0.804137 | − | 0.594444i | \(-0.202628\pi\) |
0.119450 | + | 0.992840i | \(0.461887\pi\) | |||||||
\(114\) | −21.6404 | + | 100.849i | −0.189828 | + | 0.884636i | ||||
\(115\) | −8.26185 | − | 141.851i | −0.0718422 | − | 1.23348i | ||||
\(116\) | −37.5632 | + | 103.204i | −0.323821 | + | 0.889690i | ||||
\(117\) | 98.5934 | − | 71.0500i | 0.842678 | − | 0.607265i | ||||
\(118\) | −3.27744 | + | 1.19289i | −0.0277749 | + | 0.0101092i | ||||
\(119\) | 104.509 | − | 45.0807i | 0.878225 | − | 0.378829i | ||||
\(120\) | 53.2166 | − | 46.6242i | 0.443472 | − | 0.388535i | ||||
\(121\) | 18.7677 | + | 4.44804i | 0.155105 | + | 0.0367606i | ||||
\(122\) | −18.6673 | + | 78.7634i | −0.153010 | + | 0.645601i | ||||
\(123\) | 106.225 | + | 121.245i | 0.863618 | + | 0.985729i | ||||
\(124\) | −13.9656 | − | 32.3759i | −0.112626 | − | 0.261096i | ||||
\(125\) | 55.6832 | + | 152.988i | 0.445466 | + | 1.22391i | ||||
\(126\) | −64.0378 | + | 142.344i | −0.508236 | + | 1.12971i | ||||
\(127\) | −35.9897 | − | 13.0992i | −0.283384 | − | 0.103143i | 0.196418 | − | 0.980520i | \(-0.437069\pi\) |
−0.479801 | + | 0.877377i | \(0.659291\pi\) | |||||||
\(128\) | −11.2946 | + | 0.657834i | −0.0882388 | + | 0.00513933i | ||||
\(129\) | 72.9582 | + | 15.6556i | 0.565567 | + | 0.121361i | ||||
\(130\) | 63.0665 | − | 146.205i | 0.485127 | − | 1.12465i | ||||
\(131\) | −120.135 | − | 6.99708i | −0.917062 | − | 0.0534128i | −0.406882 | − | 0.913481i | \(-0.633384\pi\) |
−0.510180 | + | 0.860068i | \(0.670421\pi\) | |||||||
\(132\) | 58.3264 | + | 16.1144i | 0.441867 | + | 0.122079i | ||||
\(133\) | −204.593 | − | 216.855i | −1.53829 | − | 1.63049i | ||||
\(134\) | −102.553 | − | 59.2087i | −0.765317 | − | 0.441856i | ||||
\(135\) | 211.102 | − | 78.2296i | 1.56372 | − | 0.579478i | ||||
\(136\) | 13.1256 | + | 22.7342i | 0.0965117 | + | 0.167163i | ||||
\(137\) | 101.207 | + | 30.2994i | 0.738738 | + | 0.221164i | 0.633996 | − | 0.773336i | \(-0.281413\pi\) |
0.104741 | + | 0.994500i | \(0.466599\pi\) | |||||||
\(138\) | −59.5435 | + | 41.0083i | −0.431475 | + | 0.297161i | ||||
\(139\) | −48.9391 | − | 32.1877i | −0.352080 | − | 0.231566i | 0.361133 | − | 0.932514i | \(-0.382390\pi\) |
−0.713212 | + | 0.700948i | \(0.752760\pi\) | |||||||
\(140\) | 23.7417 | + | 203.123i | 0.169583 | + | 1.45088i | ||||
\(141\) | −97.7889 | + | 155.822i | −0.693538 | + | 1.10512i | ||||
\(142\) | 34.3464 | + | 17.2494i | 0.241876 | + | 0.121475i | ||||
\(143\) | 134.112 | − | 23.6476i | 0.937846 | − | 0.165368i | ||||
\(144\) | −34.3233 | − | 10.8586i | −0.238356 | − | 0.0754070i | ||||
\(145\) | −79.5102 | + | 450.925i | −0.548346 | + | 3.10983i | ||||
\(146\) | 43.9148 | + | 32.6933i | 0.300786 | + | 0.223927i | ||||
\(147\) | −157.664 | − | 260.105i | −1.07254 | − | 1.76942i | ||||
\(148\) | 19.5338 | − | 20.7047i | 0.131985 | − | 0.139896i | ||||
\(149\) | −10.5490 | + | 3.15815i | −0.0707984 | + | 0.0211957i | −0.322007 | − | 0.946737i | \(-0.604357\pi\) |
0.251208 | + | 0.967933i | \(0.419172\pi\) | |||||||
\(150\) | 118.312 | − | 147.267i | 0.788744 | − | 0.981781i | ||||
\(151\) | −137.699 | − | 16.0947i | −0.911913 | − | 0.106587i | −0.352819 | − | 0.935692i | \(-0.614777\pi\) |
−0.559094 | + | 0.829104i | \(0.688851\pi\) | |||||||
\(152\) | 44.1999 | − | 52.6754i | 0.290789 | − | 0.346549i | ||||
\(153\) | 13.2272 | + | 82.4768i | 0.0864526 | + | 0.539064i | ||||
\(154\) | −133.986 | + | 112.428i | −0.870040 | + | 0.730050i | ||||
\(155\) | −80.7782 | − | 122.817i | −0.521149 | − | 0.792369i | ||||
\(156\) | −80.2511 | + | 11.1200i | −0.514430 | + | 0.0712820i | ||||
\(157\) | 116.933 | + | 157.069i | 0.744797 | + | 1.00044i | 0.999442 | + | 0.0334018i | \(0.0106341\pi\) |
−0.254645 | + | 0.967035i | \(0.581959\pi\) | |||||||
\(158\) | 11.6526 | + | 23.2023i | 0.0737509 | + | 0.146850i | ||||
\(159\) | −129.196 | + | 59.0297i | −0.812555 | + | 0.371256i | ||||
\(160\) | −45.8965 | + | 10.8777i | −0.286853 | + | 0.0679855i | ||||
\(161\) | − | 208.977i | − | 1.29799i | ||||||
\(162\) | −89.7182 | − | 71.2225i | −0.553816 | − | 0.439645i | ||||
\(163\) | −137.981 | −0.846507 | −0.423254 | − | 0.906011i | \(-0.639112\pi\) | ||||
−0.423254 | + | 0.906011i | \(0.639112\pi\) | |||||||
\(164\) | −24.7828 | − | 104.567i | −0.151115 | − | 0.637604i | ||||
\(165\) | 251.140 | + | 23.9360i | 1.52206 | + | 0.145067i | ||||
\(166\) | 75.0029 | − | 37.6679i | 0.451825 | − | 0.226915i | ||||
\(167\) | 52.6686 | − | 39.2103i | 0.315381 | − | 0.234792i | −0.427815 | − | 0.903866i | \(-0.640717\pi\) |
0.743196 | + | 0.669074i | \(0.233309\pi\) | |||||||
\(168\) | 82.1219 | − | 63.9047i | 0.488821 | − | 0.380385i | ||||
\(169\) | −11.1373 | + | 7.32511i | −0.0659011 | + | 0.0433439i | ||||
\(170\) | 70.3490 | + | 83.8387i | 0.413818 | + | 0.493169i | ||||
\(171\) | 191.162 | − | 106.449i | 1.11791 | − | 0.622507i | ||||
\(172\) | −38.1076 | − | 31.9761i | −0.221556 | − | 0.185908i | ||||
\(173\) | 8.64157 | − | 73.9334i | 0.0499513 | − | 0.427361i | −0.945005 | − | 0.327055i | \(-0.893944\pi\) |
0.994957 | − | 0.100306i | \(-0.0319821\pi\) | |||||||
\(174\) | 217.179 | − | 84.3355i | 1.24816 | − | 0.484687i | ||||
\(175\) | 156.602 | + | 523.086i | 0.894866 | + | 2.98906i | ||||
\(176\) | −29.3430 | − | 27.6837i | −0.166722 | − | 0.157294i | ||||
\(177\) | 6.48491 | + | 3.56183i | 0.0366379 | + | 0.0201233i | ||||
\(178\) | −37.5595 | + | 50.4512i | −0.211008 | + | 0.283434i | ||||
\(179\) | 134.521 | + | 23.7198i | 0.751516 | + | 0.132513i | 0.536269 | − | 0.844047i | \(-0.319833\pi\) |
0.215247 | + | 0.976560i | \(0.430944\pi\) | |||||||
\(180\) | −148.784 | − | 19.7343i | −0.826580 | − | 0.109635i | ||||
\(181\) | −37.5179 | − | 212.774i | −0.207281 | − | 1.17555i | −0.893810 | − | 0.448447i | \(-0.851977\pi\) |
0.686529 | − | 0.727103i | \(-0.259134\pi\) | |||||||
\(182\) | 105.099 | − | 209.270i | 0.577470 | − | 1.14984i | ||||
\(183\) | 151.768 | − | 80.3193i | 0.829331 | − | 0.438904i | ||||
\(184\) | 47.8733 | − | 5.59558i | 0.260181 | − | 0.0304108i | ||||
\(185\) | 65.2120 | − | 99.1500i | 0.352497 | − | 0.535946i | ||||
\(186\) | −32.1353 | + | 67.5418i | −0.172771 | + | 0.363128i | ||||
\(187\) | −26.8457 | + | 89.6709i | −0.143560 | + | 0.479523i | ||||
\(188\) | 106.212 | − | 61.3217i | 0.564959 | − | 0.326179i | ||||
\(189\) | 316.638 | − | 96.8073i | 1.67534 | − | 0.512208i | ||||
\(190\) | 143.339 | − | 248.271i | 0.754418 | − | 1.30669i | ||||
\(191\) | −134.519 | + | 126.913i | −0.704290 | + | 0.664464i | −0.952603 | − | 0.304216i | \(-0.901605\pi\) |
0.248313 | + | 0.968680i | \(0.420124\pi\) | |||||||
\(192\) | 16.8384 | + | 17.1017i | 0.0877002 | + | 0.0890712i | ||||
\(193\) | 4.34036 | − | 74.5212i | 0.0224889 | − | 0.386120i | −0.968218 | − | 0.250107i | \(-0.919534\pi\) |
0.990707 | − | 0.136013i | \(-0.0434288\pi\) | |||||||
\(194\) | −101.196 | − | 43.6519i | −0.521631 | − | 0.225010i | ||||
\(195\) | −321.441 | + | 103.754i | −1.64842 | + | 0.532073i | ||||
\(196\) | 11.7902 | + | 202.429i | 0.0601539 | + | 1.03280i | ||||
\(197\) | 21.1783 | − | 58.1870i | 0.107504 | − | 0.295365i | −0.874263 | − | 0.485453i | \(-0.838655\pi\) |
0.981767 | + | 0.190087i | \(0.0608771\pi\) | |||||||
\(198\) | −55.8236 | − | 115.590i | −0.281937 | − | 0.583790i | ||||
\(199\) | 272.466 | − | 99.1696i | 1.36918 | − | 0.498340i | 0.450298 | − | 0.892879i | \(-0.351318\pi\) |
0.918879 | + | 0.394539i | \(0.129096\pi\) | |||||||
\(200\) | −115.637 | + | 49.8811i | −0.578187 | + | 0.249405i | ||||
\(201\) | 48.8878 | + | 246.398i | 0.243223 | + | 1.22586i | ||||
\(202\) | −135.765 | − | 32.1769i | −0.672105 | − | 0.159292i | ||||
\(203\) | −155.301 | + | 655.266i | −0.765029 | + | 3.22791i | ||||
\(204\) | 17.9256 | − | 52.7232i | 0.0878704 | − | 0.258447i | ||||
\(205\) | −177.454 | − | 411.385i | −0.865630 | − | 2.00676i | ||||
\(206\) | −12.0785 | − | 33.1853i | −0.0586333 | − | 0.161094i | ||||
\(207\) | 148.668 | + | 37.6798i | 0.718204 | + | 0.182028i | ||||
\(208\) | 50.7546 | + | 18.4732i | 0.244012 | + | 0.0888132i | ||||
\(209\) | 244.771 | − | 14.2563i | 1.17115 | − | 0.0682119i | ||||
\(210\) | 290.908 | − | 321.830i | 1.38528 | − | 1.53252i | ||||
\(211\) | −22.1662 | + | 51.3869i | −0.105053 | + | 0.243540i | −0.962632 | − | 0.270811i | \(-0.912708\pi\) |
0.857580 | + | 0.514351i | \(0.171967\pi\) | |||||||
\(212\) | 94.5350 | + | 5.50604i | 0.445920 | + | 0.0259719i | ||||
\(213\) | −20.4906 | − | 78.9153i | −0.0962002 | − | 0.370494i | ||||
\(214\) | 10.5434 | + | 11.1753i | 0.0492681 | + | 0.0522211i | ||||
\(215\) | −179.610 | − | 103.698i | −0.835395 | − | 0.482316i | ||||
\(216\) | 30.6553 | + | 69.9446i | 0.141923 | + | 0.323818i | ||||
\(217\) | −108.099 | − | 187.233i | −0.498152 | − | 0.862824i | ||||
\(218\) | −174.540 | − | 52.2537i | −0.800640 | − | 0.239696i | ||||
\(219\) | −9.22451 | − | 115.772i | −0.0421210 | − | 0.528637i | ||||
\(220\) | −140.517 | − | 92.4195i | −0.638714 | − | 0.420089i | ||||
\(221\) | −14.5492 | − | 124.476i | −0.0658335 | − | 0.563241i | ||||
\(222\) | −60.3423 | − | 2.22430i | −0.271812 | − | 0.0100194i | ||||
\(223\) | −204.398 | − | 102.653i | −0.916584 | − | 0.460326i | −0.0730057 | − | 0.997332i | \(-0.523259\pi\) |
−0.843579 | + | 0.537006i | \(0.819555\pi\) | |||||||
\(224\) | −68.3173 | + | 12.0462i | −0.304988 | + | 0.0537776i | ||||
\(225\) | −400.364 | + | 17.0923i | −1.77940 | + | 0.0759657i | ||||
\(226\) | −27.9124 | + | 158.299i | −0.123506 | + | 0.700437i | ||||
\(227\) | −18.2687 | − | 13.6006i | −0.0804790 | − | 0.0599144i | 0.556167 | − | 0.831070i | \(-0.312271\pi\) |
−0.636646 | + | 0.771156i | \(0.719679\pi\) | |||||||
\(228\) | −145.835 | + | 3.11156i | −0.639626 | + | 0.0136472i | ||||
\(229\) | −149.896 | + | 158.881i | −0.654568 | + | 0.693802i | −0.966606 | − | 0.256268i | \(-0.917507\pi\) |
0.312037 | + | 0.950070i | \(0.398989\pi\) | |||||||
\(230\) | 192.505 | − | 57.6322i | 0.836978 | − | 0.250575i | ||||
\(231\) | 366.687 | + | 56.6201i | 1.58739 | + | 0.245109i | ||||
\(232\) | −154.269 | − | 18.0315i | −0.664953 | − | 0.0777219i | ||||
\(233\) | 124.431 | − | 148.292i | 0.534040 | − | 0.636444i | −0.429800 | − | 0.902924i | \(-0.641416\pi\) |
0.963841 | + | 0.266480i | \(0.0858605\pi\) | |||||||
\(234\) | 129.927 | + | 112.501i | 0.555242 | + | 0.480775i | ||||
\(235\) | 391.688 | − | 328.665i | 1.66676 | − | 1.39858i | ||||
\(236\) | −2.71043 | − | 4.12101i | −0.0114849 | − | 0.0174619i | ||||
\(237\) | 20.7315 | − | 51.0274i | 0.0874748 | − | 0.215305i | ||||
\(238\) | 96.1197 | + | 129.111i | 0.403864 | + | 0.542484i | ||||
\(239\) | 77.5664 | + | 154.447i | 0.324546 | + | 0.646224i | 0.995446 | − | 0.0953237i | \(-0.0303886\pi\) |
−0.670901 | + | 0.741547i | \(0.734092\pi\) | |||||||
\(240\) | 81.5154 | + | 58.0250i | 0.339647 | + | 0.241771i | ||||
\(241\) | 431.409 | − | 102.246i | 1.79008 | − | 0.424256i | 0.804566 | − | 0.593864i | \(-0.202398\pi\) |
0.985512 | + | 0.169608i | \(0.0542501\pi\) | |||||||
\(242\) | 27.2769i | 0.112714i | ||||||||
\(243\) | 11.7778 | + | 242.714i | 0.0484682 | + | 0.998825i | ||||
\(244\) | −114.474 | −0.469155 | ||||||||
\(245\) | 194.958 | + | 822.590i | 0.795745 | + | 3.35751i | ||||
\(246\) | −132.200 | + | 185.718i | −0.537397 | + | 0.754952i | ||||
\(247\) | −293.357 | + | 147.330i | −1.18768 | + | 0.596476i | ||||
\(248\) | 39.9976 | − | 29.7771i | 0.161280 | − | 0.120069i | ||||
\(249\) | −164.949 | − | 67.0160i | −0.662447 | − | 0.269140i | ||||
\(250\) | −192.366 | + | 126.521i | −0.769463 | + | 0.506084i | ||||
\(251\) | 284.183 | + | 338.676i | 1.13220 | + | 1.34931i | 0.928960 | + | 0.370180i | \(0.120704\pi\) |
0.203244 | + | 0.979128i | \(0.434851\pi\) | |||||||
\(252\) | −216.764 | − | 41.6980i | −0.860173 | − | 0.165468i | ||||
\(253\) | 131.654 | + | 110.471i | 0.520373 | + | 0.436645i | ||||
\(254\) | 6.28801 | − | 53.7974i | 0.0247559 | − | 0.211801i | ||||
\(255\) | 35.4287 | − | 229.446i | 0.138936 | − | 0.899788i | ||||
\(256\) | −4.58885 | − | 15.3278i | −0.0179252 | − | 0.0598743i | ||||
\(257\) | 9.28723 | + | 8.76205i | 0.0361371 | + | 0.0340936i | 0.704098 | − | 0.710102i | \(-0.251351\pi\) |
−0.667961 | + | 0.744196i | \(0.732833\pi\) | |||||||
\(258\) | 2.25104 | + | 105.503i | 0.00872495 | + | 0.408927i | ||||
\(259\) | 104.226 | − | 139.999i | 0.402415 | − | 0.540538i | ||||
\(260\) | 221.760 | + | 39.1022i | 0.852922 | + | 0.150393i | ||||
\(261\) | −438.161 | − | 228.631i | −1.67878 | − | 0.875980i | ||||
\(262\) | −29.5523 | − | 167.599i | −0.112795 | − | 0.639692i | ||||
\(263\) | −123.230 | + | 245.372i | −0.468557 | + | 0.932973i | 0.527935 | + | 0.849285i | \(0.322966\pi\) |
−0.996492 | + | 0.0836886i | \(0.973330\pi\) | |||||||
\(264\) | −3.15232 | + | 85.5181i | −0.0119406 | + | 0.323932i | ||||
\(265\) | 392.124 | − | 45.8327i | 1.47971 | − | 0.172954i | ||||
\(266\) | 231.687 | − | 352.264i | 0.871005 | − | 1.32430i | ||||
\(267\) | 133.003 | − | 10.5975i | 0.498139 | − | 0.0396910i | ||||
\(268\) | 48.0302 | − | 160.432i | 0.179217 | − | 0.598627i | ||||
\(269\) | −61.8487 | + | 35.7083i | −0.229921 | + | 0.132745i | −0.610535 | − | 0.791989i | \(-0.709046\pi\) |
0.380615 | + | 0.924734i | \(0.375712\pi\) | |||||||
\(270\) | 176.500 | + | 264.983i | 0.653704 | + | 0.981417i | ||||
\(271\) | 200.309 | − | 346.945i | 0.739147 | − | 1.28024i | −0.213733 | − | 0.976892i | \(-0.568562\pi\) |
0.952880 | − | 0.303348i | \(-0.0981043\pi\) | |||||||
\(272\) | −27.0036 | + | 25.4766i | −0.0992779 | + | 0.0936639i | ||||
\(273\) | −480.825 | + | 124.848i | −1.76126 | + | 0.457318i | ||||
\(274\) | −8.68713 | + | 149.152i | −0.0317048 | + | 0.544351i | ||||
\(275\) | −412.325 | − | 177.860i | −1.49936 | − | 0.646763i | ||||
\(276\) | −75.8508 | − | 68.5630i | −0.274822 | − | 0.248417i | ||||
\(277\) | 24.0335 | + | 412.639i | 0.0867635 | + | 1.48967i | 0.708091 | + | 0.706121i | \(0.249557\pi\) |
−0.621328 | + | 0.783551i | \(0.713406\pi\) | |||||||
\(278\) | 28.3323 | − | 77.8424i | 0.101915 | − | 0.280009i | ||||
\(279\) | 152.690 | − | 43.1434i | 0.547276 | − | 0.154636i | ||||
\(280\) | −271.773 | + | 98.9174i | −0.970619 | + | 0.353276i | ||||
\(281\) | 187.062 | − | 80.6905i | 0.665699 | − | 0.287155i | −0.0362909 | − | 0.999341i | \(-0.511554\pi\) |
0.701990 | + | 0.712187i | \(0.252295\pi\) | |||||||
\(282\) | −246.319 | − | 83.7468i | −0.873470 | − | 0.296974i | ||||
\(283\) | 192.706 | + | 45.6723i | 0.680941 | + | 0.161386i | 0.556508 | − | 0.830842i | \(-0.312141\pi\) |
0.124433 | + | 0.992228i | \(0.460289\pi\) | |||||||
\(284\) | −12.5351 | + | 52.8896i | −0.0441376 | + | 0.186231i | ||||
\(285\) | −596.510 | + | 118.353i | −2.09302 | + | 0.415275i | ||||
\(286\) | 76.2806 | + | 176.838i | 0.266715 | + | 0.618315i | ||||
\(287\) | −225.366 | − | 619.187i | −0.785246 | − | 2.15744i | ||||
\(288\) | 3.74826 | − | 50.7735i | 0.0130148 | − | 0.176297i | ||||
\(289\) | −190.626 | − | 69.3820i | −0.659604 | − | 0.240076i | ||||
\(290\) | −646.446 | + | 37.6512i | −2.22912 | + | 0.129832i | ||||
\(291\) | 71.8141 | + | 222.487i | 0.246784 | + | 0.764562i | ||||
\(292\) | −30.6667 | + | 71.0934i | −0.105023 | + | 0.243471i | ||||
\(293\) | −418.805 | − | 24.3926i | −1.42937 | − | 0.0832513i | −0.674087 | − | 0.738652i | \(-0.735463\pi\) |
−0.755282 | + | 0.655400i | \(0.772500\pi\) | |||||||
\(294\) | 306.509 | − | 301.791i | 1.04255 | − | 1.02650i | ||||
\(295\) | −14.1118 | − | 14.9577i | −0.0478367 | − | 0.0507039i | ||||
\(296\) | 34.8623 | + | 20.1278i | 0.117778 | + | 0.0679992i | ||||
\(297\) | −106.396 | + | 250.656i | −0.358235 | + | 0.843958i | ||||
\(298\) | −7.78636 | − | 13.4864i | −0.0261287 | − | 0.0452563i | ||||
\(299\) | −220.437 | − | 65.9945i | −0.737248 | − | 0.220718i | ||||
\(300\) | 241.240 | + | 114.778i | 0.804132 | + | 0.382593i | ||||
\(301\) | −254.843 | − | 167.613i | −0.846654 | − | 0.556853i | ||||
\(302\) | −22.7613 | − | 194.736i | −0.0753686 | − | 0.644820i | ||||
\(303\) | 138.447 | + | 261.603i | 0.456922 | + | 0.863377i | ||||
\(304\) | 86.9016 | + | 43.6436i | 0.285860 | + | 0.143565i | ||||
\(305\) | −470.002 | + | 82.8740i | −1.54099 | + | 0.271718i | ||||
\(306\) | −109.182 | + | 45.1009i | −0.356803 | + | 0.147389i | ||||
\(307\) | −101.913 | + | 577.976i | −0.331963 | + | 1.88266i | 0.123407 | + | 0.992356i | \(0.460618\pi\) |
−0.455371 | + | 0.890302i | \(0.650493\pi\) | |||||||
\(308\) | −198.409 | − | 147.710i | −0.644186 | − | 0.479579i | ||||
\(309\) | −36.0648 | + | 65.6621i | −0.116715 | + | 0.212499i | ||||
\(310\) | 142.663 | − | 151.214i | 0.460203 | − | 0.487787i | ||||
\(311\) | −126.326 | + | 37.8195i | −0.406192 | + | 0.121606i | −0.483380 | − | 0.875411i | \(-0.660591\pi\) |
0.0771878 | + | 0.997017i | \(0.475406\pi\) | |||||||
\(312\) | −41.4752 | − | 106.806i | −0.132933 | − | 0.342328i | ||||
\(313\) | 593.728 | + | 69.3969i | 1.89690 | + | 0.221715i | 0.982917 | − | 0.184048i | \(-0.0589201\pi\) |
0.913978 | + | 0.405763i | \(0.132994\pi\) | |||||||
\(314\) | −178.004 | + | 212.137i | −0.566893 | + | 0.675597i | ||||
\(315\) | −920.166 | − | 14.2745i | −2.92116 | − | 0.0453159i | ||||
\(316\) | −28.1282 | + | 23.6023i | −0.0890131 | + | 0.0746909i | ||||
\(317\) | 21.3896 | + | 32.5213i | 0.0674750 | + | 0.102591i | 0.867649 | − | 0.497177i | \(-0.165630\pi\) |
−0.800174 | + | 0.599768i | \(0.795260\pi\) | |||||||
\(318\) | −123.366 | − | 158.534i | −0.387945 | − | 0.498535i | ||||
\(319\) | −330.718 | − | 444.231i | −1.03673 | − | 1.39257i | ||||
\(320\) | −29.9374 | − | 59.6102i | −0.0935543 | − | 0.186282i | ||||
\(321\) | 3.09229 | − | 32.4448i | 0.00963331 | − | 0.101074i | ||||
\(322\) | 287.572 | − | 68.1558i | 0.893080 | − | 0.211664i | ||||
\(323\) | − | 225.638i | − | 0.698570i | ||||||
\(324\) | 68.7481 | − | 146.689i | 0.212185 | − | 0.452744i | ||||
\(325\) | 601.226 | 1.84993 | ||||||||
\(326\) | −45.0010 | − | 189.874i | −0.138040 | − | 0.582437i | ||||
\(327\) | 160.617 | + | 351.536i | 0.491182 | + | 1.07503i | ||||
\(328\) | 135.811 | − | 68.2070i | 0.414059 | − | 0.207948i | ||||
\(329\) | 603.197 | − | 449.064i | 1.83343 | − | 1.36494i | ||||
\(330\) | 48.9687 | + | 353.399i | 0.148390 | + | 1.07091i | ||||
\(331\) | 31.7590 | − | 20.8882i | 0.0959486 | − | 0.0631064i | −0.500628 | − | 0.865663i | \(-0.666898\pi\) |
0.596577 | + | 0.802556i | \(0.296527\pi\) | |||||||
\(332\) | 76.2960 | + | 90.9260i | 0.229807 | + | 0.273874i | ||||
\(333\) | 80.8043 | + | 99.3898i | 0.242655 | + | 0.298468i | ||||
\(334\) | 71.1344 | + | 59.6888i | 0.212977 | + | 0.178709i | ||||
\(335\) | 81.0547 | − | 693.467i | 0.241954 | − | 2.07005i | ||||
\(336\) | 114.722 | + | 92.1654i | 0.341435 | + | 0.274302i | ||||
\(337\) | −32.8444 | − | 109.708i | −0.0974612 | − | 0.325543i | 0.895329 | − | 0.445405i | \(-0.146940\pi\) |
−0.992791 | + | 0.119861i | \(0.961755\pi\) | |||||||
\(338\) | −13.7124 | − | 12.9369i | −0.0405691 | − | 0.0382750i | ||||
\(339\) | 291.596 | − | 176.752i | 0.860165 | − | 0.521392i | ||||
\(340\) | −92.4263 | + | 124.150i | −0.271842 | + | 0.365147i | ||||
\(341\) | 175.100 | + | 30.8748i | 0.513489 | + | 0.0905420i | ||||
\(342\) | 208.829 | + | 228.340i | 0.610611 | + | 0.667660i | ||||
\(343\) | 111.556 | + | 632.663i | 0.325235 | + | 1.84450i | ||||
\(344\) | 31.5737 | − | 62.8684i | 0.0917839 | − | 0.182757i | ||||
\(345\) | −361.061 | − | 226.590i | −1.04655 | − | 0.656784i | ||||
\(346\) | 104.558 | − | 12.2210i | 0.302190 | − | 0.0353209i | ||||
\(347\) | 114.214 | − | 173.655i | 0.329148 | − | 0.500446i | −0.632563 | − | 0.774509i | \(-0.717997\pi\) |
0.961712 | + | 0.274063i | \(0.0883676\pi\) | |||||||
\(348\) | 186.884 | + | 271.354i | 0.537024 | + | 0.779752i | ||||
\(349\) | 118.272 | − | 395.055i | 0.338887 | − | 1.13196i | −0.603479 | − | 0.797379i | \(-0.706219\pi\) |
0.942366 | − | 0.334584i | \(-0.108596\pi\) | |||||||
\(350\) | −668.741 | + | 386.098i | −1.91069 | + | 1.10314i | ||||
\(351\) | −2.12230 | − | 364.574i | −0.00604643 | − | 1.03867i | ||||
\(352\) | 28.5254 | − | 49.4075i | 0.0810381 | − | 0.140362i | ||||
\(353\) | −179.316 | + | 169.176i | −0.507977 | + | 0.479251i | −0.897033 | − | 0.441963i | \(-0.854282\pi\) |
0.389057 | + | 0.921214i | \(0.372801\pi\) | |||||||
\(354\) | −2.78642 | + | 10.0855i | −0.00787123 | + | 0.0284901i | ||||
\(355\) | −13.1762 | + | 226.227i | −0.0371161 | + | 0.637259i | ||||
\(356\) | −81.6752 | − | 35.2312i | −0.229425 | − | 0.0989641i | ||||
\(357\) | 71.6389 | − | 333.852i | 0.200669 | − | 0.935159i | ||||
\(358\) | 11.2322 | + | 192.850i | 0.0313749 | + | 0.538687i | ||||
\(359\) | −95.3469 | + | 261.964i | −0.265590 | + | 0.729703i | 0.733176 | + | 0.680039i | \(0.238037\pi\) |
−0.998766 | + | 0.0496641i | \(0.984185\pi\) | |||||||
\(360\) | −21.3684 | − | 211.177i | −0.0593566 | − | 0.586604i | ||||
\(361\) | −216.167 | + | 78.6785i | −0.598802 | + | 0.217946i | ||||
\(362\) | 280.561 | − | 121.022i | 0.775032 | − | 0.334316i | ||||
\(363\) | 43.5221 | − | 38.1306i | 0.119896 | − | 0.105043i | ||||
\(364\) | 322.253 | + | 76.3752i | 0.885309 | + | 0.209822i | ||||
\(365\) | −74.4416 | + | 314.094i | −0.203950 | + | 0.860531i | ||||
\(366\) | 160.024 | + | 182.651i | 0.437225 | + | 0.499046i | ||||
\(367\) | 216.821 | + | 502.649i | 0.590794 | + | 1.36961i | 0.907083 | + | 0.420952i | \(0.138304\pi\) |
−0.316289 | + | 0.948663i | \(0.602437\pi\) | |||||||
\(368\) | 23.3134 | + | 64.0531i | 0.0633517 | + | 0.174057i | ||||
\(369\) | 481.130 | − | 48.6840i | 1.30387 | − | 0.131935i | ||||
\(370\) | 157.708 | + | 57.4010i | 0.426237 | + | 0.155138i | ||||
\(371\) | 579.651 | − | 33.7608i | 1.56240 | − | 0.0909996i | ||||
\(372\) | −103.424 | − | 22.1931i | −0.278023 | − | 0.0596590i | ||||
\(373\) | 183.819 | − | 426.140i | 0.492812 | − | 1.14247i | −0.472491 | − | 0.881335i | \(-0.656645\pi\) |
0.965303 | − | 0.261131i | \(-0.0840955\pi\) | |||||||
\(374\) | −132.151 | − | 7.69692i | −0.353345 | − | 0.0205800i | ||||
\(375\) | 470.783 | + | 130.068i | 1.25542 | + | 0.346847i | ||||
\(376\) | 119.025 | + | 126.159i | 0.316555 | + | 0.335528i | ||||
\(377\) | 642.156 | + | 370.749i | 1.70333 | + | 0.983420i | ||||
\(378\) | 236.484 | + | 404.151i | 0.625620 | + | 1.06918i | ||||
\(379\) | −303.726 | − | 526.069i | −0.801388 | − | 1.38805i | −0.918702 | − | 0.394951i | \(-0.870762\pi\) |
0.117314 | − | 0.993095i | \(-0.462572\pi\) | |||||||
\(380\) | 388.393 | + | 116.277i | 1.02209 | + | 0.305993i | ||||
\(381\) | −94.6275 | + | 65.1710i | −0.248366 | + | 0.171053i | ||||
\(382\) | −218.516 | − | 143.720i | −0.572031 | − | 0.376230i | ||||
\(383\) | −0.401942 | − | 3.43883i | −0.00104946 | − | 0.00897868i | 0.992703 | − | 0.120581i | \(-0.0384758\pi\) |
−0.993753 | + | 0.111602i | \(0.964402\pi\) | |||||||
\(384\) | −18.0418 | + | 28.7488i | −0.0469839 | + | 0.0748667i | ||||
\(385\) | −921.556 | − | 462.823i | −2.39365 | − | 1.20214i | ||||
\(386\) | 103.964 | − | 18.3316i | 0.269336 | − | 0.0474912i | ||||
\(387\) | 165.191 | − | 151.076i | 0.426850 | − | 0.390377i | ||||
\(388\) | 27.0648 | − | 153.492i | 0.0697547 | − | 0.395599i | ||||
\(389\) | −451.360 | − | 336.025i | −1.16031 | − | 0.863818i | −0.167780 | − | 0.985824i | \(-0.553660\pi\) |
−0.992529 | + | 0.122006i | \(0.961067\pi\) | |||||||
\(390\) | −247.610 | − | 408.495i | −0.634898 | − | 1.04742i | ||||
\(391\) | 108.536 | − | 115.042i | 0.277587 | − | 0.294225i | ||||
\(392\) | −274.716 | + | 82.2447i | −0.700807 | + | 0.209808i | ||||
\(393\) | −226.105 | + | 281.442i | −0.575330 | + | 0.716137i | ||||
\(394\) | 86.9778 | + | 10.1662i | 0.220756 | + | 0.0258027i | ||||
\(395\) | −98.4003 | + | 117.269i | −0.249115 | + | 0.296883i | ||||
\(396\) | 140.857 | − | 114.517i | 0.355699 | − | 0.289185i | ||||
\(397\) | 381.819 | − | 320.384i | 0.961761 | − | 0.807013i | −0.0194781 | − | 0.999810i | \(-0.506200\pi\) |
0.981239 | + | 0.192797i | \(0.0617560\pi\) | |||||||
\(398\) | 225.329 | + | 342.596i | 0.566153 | + | 0.860793i | ||||
\(399\) | −885.940 | + | 122.760i | −2.22040 | + | 0.307670i | ||||
\(400\) | −106.355 | − | 142.860i | −0.265887 | − | 0.357149i | ||||
\(401\) | −67.7015 | − | 134.805i | −0.168832 | − | 0.336172i | 0.793267 | − | 0.608875i | \(-0.208379\pi\) |
−0.962098 | + | 0.272703i | \(0.912082\pi\) | |||||||
\(402\) | −323.123 | + | 147.634i | −0.803788 | + | 0.367250i | ||||
\(403\) | −231.638 | + | 54.8992i | −0.574784 | + | 0.136226i | ||||
\(404\) | − | 197.320i | − | 0.488415i | ||||||
\(405\) | 176.066 | − | 652.041i | 0.434732 | − | 1.60998i | ||||
\(406\) | −952.357 | −2.34571 | ||||||||
\(407\) | 33.1022 | + | 139.669i | 0.0813322 | + | 0.343167i | ||||
\(408\) | 78.3983 | + | 7.47209i | 0.192153 | + | 0.0183139i | ||||
\(409\) | 533.055 | − | 267.710i | 1.30331 | − | 0.654548i | 0.344553 | − | 0.938767i | \(-0.388030\pi\) |
0.958760 | + | 0.284219i | \(0.0917341\pi\) | |||||||
\(410\) | 508.229 | − | 378.363i | 1.23958 | − | 0.922836i | ||||
\(411\) | 250.127 | − | 194.641i | 0.608580 | − | 0.473578i | ||||
\(412\) | 41.7268 | − | 27.4441i | 0.101279 | − | 0.0666120i | ||||
\(413\) | −19.4404 | − | 23.1682i | −0.0470712 | − | 0.0560973i | ||||
\(414\) | −3.36430 | + | 216.870i | −0.00812633 | + | 0.523841i | ||||
\(415\) | 379.079 | + | 318.085i | 0.913444 | + | 0.766471i | ||||
\(416\) | −8.86768 | + | 75.8679i | −0.0213165 | + | 0.182375i | ||||
\(417\) | −163.809 | + | 63.6107i | −0.392828 | + | 0.152544i | ||||
\(418\) | 99.4477 | + | 332.178i | 0.237913 | + | 0.794685i | ||||
\(419\) | −439.753 | − | 414.885i | −1.04953 | − | 0.990180i | −0.0495659 | − | 0.998771i | \(-0.515784\pi\) |
−0.999963 | + | 0.00859131i | \(0.997265\pi\) | |||||||
\(420\) | 537.745 | + | 295.355i | 1.28034 | + | 0.703227i | ||||
\(421\) | −272.190 | + | 365.615i | −0.646532 | + | 0.868443i | −0.997694 | − | 0.0678713i | \(-0.978379\pi\) |
0.351162 | + | 0.936315i | \(0.385787\pi\) | |||||||
\(422\) | −77.9425 | − | 13.7434i | −0.184698 | − | 0.0325672i | ||||
\(423\) | 210.708 | + | 510.089i | 0.498128 | + | 1.20588i | ||||
\(424\) | 23.2548 | + | 131.885i | 0.0548463 | + | 0.311049i | ||||
\(425\) | −185.466 | + | 369.293i | −0.436390 | + | 0.868925i | ||||
\(426\) | 101.912 | − | 53.9345i | 0.239230 | − | 0.126607i | ||||
\(427\) | −697.162 | + | 81.4866i | −1.63270 | + | 0.190835i | ||||
\(428\) | −11.9397 | + | 18.1534i | −0.0278964 | + | 0.0424144i | ||||
\(429\) | 175.524 | − | 368.915i | 0.409147 | − | 0.859942i | ||||
\(430\) | 84.1199 | − | 280.980i | 0.195628 | − | 0.653442i | ||||
\(431\) | 112.327 | − | 64.8521i | 0.260620 | − | 0.150469i | −0.363998 | − | 0.931400i | \(-0.618588\pi\) |
0.624617 | + | 0.780931i | \(0.285255\pi\) | |||||||
\(432\) | −86.2524 | + | 64.9963i | −0.199658 | + | 0.150454i | ||||
\(433\) | −36.3215 | + | 62.9107i | −0.0838834 | + | 0.145290i | −0.904915 | − | 0.425593i | \(-0.860066\pi\) |
0.821031 | + | 0.570883i | \(0.193399\pi\) | |||||||
\(434\) | 222.394 | − | 209.818i | 0.512430 | − | 0.483452i | ||||
\(435\) | 963.750 | + | 978.816i | 2.21552 | + | 2.25015i | ||||
\(436\) | 14.9816 | − | 257.225i | 0.0343616 | − | 0.589965i | ||||
\(437\) | −380.407 | − | 164.091i | −0.870496 | − | 0.375495i | ||||
\(438\) | 156.304 | − | 50.4515i | 0.356858 | − | 0.115186i | ||||
\(439\) | 8.65622 | + | 148.621i | 0.0197180 | + | 0.338546i | 0.993712 | + | 0.111970i | \(0.0357160\pi\) |
−0.973994 | + | 0.226576i | \(0.927247\pi\) | |||||||
\(440\) | 81.3496 | − | 223.506i | 0.184885 | − | 0.507969i | ||||
\(441\) | −910.000 | − | 67.1789i | −2.06349 | − | 0.152333i | ||||
\(442\) | 166.546 | − | 60.6178i | 0.376801 | − | 0.137144i | ||||
\(443\) | 294.715 | − | 127.128i | 0.665271 | − | 0.286970i | −0.0365409 | − | 0.999332i | \(-0.511634\pi\) |
0.701812 | + | 0.712362i | \(0.252375\pi\) | |||||||
\(444\) | −16.6192 | − | 83.7621i | −0.0374307 | − | 0.188653i | ||||
\(445\) | −360.844 | − | 85.5217i | −0.810886 | − | 0.192184i | ||||
\(446\) | 74.5972 | − | 314.750i | 0.167258 | − | 0.705718i | ||||
\(447\) | −10.6338 | + | 31.2764i | −0.0237892 | + | 0.0699696i | ||||
\(448\) | −38.8577 | − | 90.0822i | −0.0867359 | − | 0.201076i | ||||
\(449\) | 67.1353 | + | 184.453i | 0.149522 | + | 0.410808i | 0.991730 | − | 0.128345i | \(-0.0409666\pi\) |
−0.842208 | + | 0.539153i | \(0.818744\pi\) | |||||||
\(450\) | −154.095 | − | 545.364i | −0.342434 | − | 1.21192i | ||||
\(451\) | 509.219 | + | 185.340i | 1.12909 | + | 0.410955i | ||||
\(452\) | −226.937 | + | 13.2176i | −0.502074 | + | 0.0292425i | ||||
\(453\) | −278.896 | + | 308.541i | −0.615664 | + | 0.681105i | ||||
\(454\) | 12.7575 | − | 29.5752i | 0.0281002 | − | 0.0651435i | ||||
\(455\) | 1378.38 | + | 80.2817i | 3.02941 | + | 0.176443i | ||||
\(456\) | −51.8444 | − | 199.667i | −0.113694 | − | 0.437867i | ||||
\(457\) | 79.6369 | + | 84.4101i | 0.174260 | + | 0.184705i | 0.808617 | − | 0.588335i | \(-0.200217\pi\) |
−0.634357 | + | 0.773040i | \(0.718735\pi\) | |||||||
\(458\) | −267.522 | − | 154.454i | −0.584109 | − | 0.337235i | ||||
\(459\) | 224.588 | + | 111.160i | 0.489299 | + | 0.242179i | ||||
\(460\) | 142.091 | + | 246.109i | 0.308893 | + | 0.535019i | ||||
\(461\) | 817.610 | + | 244.776i | 1.77356 | + | 0.530968i | 0.995288 | − | 0.0969634i | \(-0.0309130\pi\) |
0.778269 | + | 0.627931i | \(0.216098\pi\) | |||||||
\(462\) | 41.6768 | + | 523.062i | 0.0902095 | + | 1.13217i | ||||
\(463\) | −226.844 | − | 149.197i | −0.489943 | − | 0.322241i | 0.280386 | − | 0.959887i | \(-0.409538\pi\) |
−0.770329 | + | 0.637647i | \(0.779908\pi\) | |||||||
\(464\) | −25.5004 | − | 218.170i | −0.0549577 | − | 0.470193i | ||||
\(465\) | −440.703 | − | 16.2449i | −0.947748 | − | 0.0349353i | ||||
\(466\) | 244.645 | + | 122.865i | 0.524989 | + | 0.263660i | ||||
\(467\) | −754.682 | + | 133.071i | −1.61602 | + | 0.284948i | −0.907282 | − | 0.420522i | \(-0.861847\pi\) |
−0.708740 | + | 0.705470i | \(0.750736\pi\) | |||||||
\(468\) | −112.438 | + | 215.482i | −0.240252 | + | 0.460433i | ||||
\(469\) | 178.310 | − | 1011.24i | 0.380191 | − | 2.15617i | ||||
\(470\) | 580.019 | + | 431.808i | 1.23408 | + | 0.918741i | ||||
\(471\) | 587.314 | − | 12.5311i | 1.24695 | − | 0.0266052i | ||||
\(472\) | 4.78692 | − | 5.07384i | 0.0101418 | − | 0.0107497i | ||||
\(473\) | 240.312 | − | 71.9447i | 0.508059 | − | 0.152103i | ||||
\(474\) | 76.9798 | + | 11.8864i | 0.162405 | + | 0.0250769i | ||||
\(475\) | 1075.15 | + | 125.667i | 2.26348 | + | 0.264563i | ||||
\(476\) | −146.321 | + | 174.378i | −0.307396 | + | 0.366340i | ||||
\(477\) | −80.4968 | + | 418.456i | −0.168756 | + | 0.877267i | ||||
\(478\) | −187.237 | + | 157.110i | −0.391708 | + | 0.328682i | ||||
\(479\) | −191.111 | − | 290.571i | −0.398980 | − | 0.606619i | 0.578998 | − | 0.815329i | \(-0.303444\pi\) |
−0.977978 | + | 0.208710i | \(0.933074\pi\) | |||||||
\(480\) | −53.2624 | + | 131.097i | −0.110963 | + | 0.273119i | ||||
\(481\) | −114.762 | − | 154.153i | −0.238591 | − | 0.320484i | ||||
\(482\) | 281.399 | + | 560.312i | 0.583816 | + | 1.16247i | ||||
\(483\) | −510.748 | − | 363.565i | −1.05745 | − | 0.752723i | ||||
\(484\) | −37.5355 | + | 8.89608i | −0.0775527 | + | 0.0183803i | ||||
\(485\) | − | 649.796i | − | 1.33979i | ||||||
\(486\) | −330.156 | + | 95.3662i | −0.679334 | + | 0.196227i | ||||
\(487\) | 758.043 | 1.55656 | 0.778278 | − | 0.627919i | \(-0.216093\pi\) | ||||
0.778278 | + | 0.627919i | \(0.216093\pi\) | |||||||
\(488\) | −37.3345 | − | 157.527i | −0.0765052 | − | 0.322801i | ||||
\(489\) | −240.050 | + | 337.230i | −0.490900 | + | 0.689632i | ||||
\(490\) | −1068.38 | + | 536.559i | −2.18036 | + | 1.09502i | ||||
\(491\) | −571.349 | + | 425.354i | −1.16364 | + | 0.866301i | −0.992893 | − | 0.119014i | \(-0.962027\pi\) |
−0.170751 | + | 0.985314i | \(0.554619\pi\) | |||||||
\(492\) | −298.681 | − | 121.349i | −0.607076 | − | 0.246644i | ||||
\(493\) | −425.819 | + | 280.065i | −0.863730 | + | 0.568084i | ||||
\(494\) | −298.415 | − | 355.637i | −0.604079 | − | 0.719913i | ||||
\(495\) | 495.418 | − | 572.154i | 1.00085 | − | 1.15587i | ||||
\(496\) | 54.0208 | + | 45.3289i | 0.108913 | + | 0.0913888i | ||||
\(497\) | −38.6917 | + | 331.028i | −0.0778504 | + | 0.666053i | ||||
\(498\) | 38.4237 | − | 248.842i | 0.0771560 | − | 0.499683i | ||||
\(499\) | 32.3641 | + | 108.104i | 0.0648579 | + | 0.216640i | 0.984275 | − | 0.176644i | \(-0.0565240\pi\) |
−0.919417 | + | 0.393284i | \(0.871339\pi\) | |||||||
\(500\) | −236.843 | − | 223.450i | −0.473685 | − | 0.446899i | ||||
\(501\) | −4.20194 | − | 196.940i | −0.00838711 | − | 0.393093i | ||||
\(502\) | −373.367 | + | 501.519i | −0.743758 | + | 0.999041i | ||||
\(503\) | −677.295 | − | 119.425i | −1.34651 | − | 0.237426i | −0.546523 | − | 0.837444i | \(-0.684049\pi\) |
−0.799987 | + | 0.600018i | \(0.795160\pi\) | |||||||
\(504\) | −13.3150 | − | 311.886i | −0.0264186 | − | 0.618822i | ||||
\(505\) | −142.851 | − | 810.147i | −0.282873 | − | 1.60425i | ||||
\(506\) | −109.081 | + | 217.198i | −0.215575 | + | 0.429245i | ||||
\(507\) | −1.47312 | + | 39.9637i | −0.00290556 | + | 0.0788239i | ||||
\(508\) | 76.0810 | − | 8.89259i | 0.149766 | − | 0.0175051i | ||||
\(509\) | −369.827 | + | 562.295i | −0.726576 | + | 1.10471i | 0.263566 | + | 0.964641i | \(0.415101\pi\) |
−0.990142 | + | 0.140064i | \(0.955269\pi\) | |||||||
\(510\) | 327.294 | − | 26.0783i | 0.641752 | − | 0.0511339i | ||||
\(511\) | −136.158 | + | 454.799i | −0.266454 | + | 0.890018i | ||||
\(512\) | 19.5959 | − | 11.3137i | 0.0382733 | − | 0.0220971i | ||||
\(513\) | 72.4075 | − | 652.400i | 0.141145 | − | 1.27173i | ||||
\(514\) | −9.02846 | + | 15.6378i | −0.0175651 | + | 0.0304236i | ||||
\(515\) | 151.452 | − | 142.887i | 0.294081 | − | 0.277451i | ||||
\(516\) | −144.448 | + | 37.5064i | −0.279938 | + | 0.0726869i | ||||
\(517\) | −35.9594 | + | 617.399i | −0.0695540 | + | 1.19420i | ||||
\(518\) | 226.644 | + | 97.7648i | 0.437537 | + | 0.188735i | ||||
\(519\) | −165.662 | − | 149.745i | −0.319194 | − | 0.288526i | ||||
\(520\) | 18.5164 | + | 317.915i | 0.0356085 | + | 0.611375i | ||||
\(521\) | −112.263 | + | 308.441i | −0.215477 | + | 0.592018i | −0.999591 | − | 0.0285990i | \(-0.990895\pi\) |
0.784114 | + | 0.620617i | \(0.213118\pi\) | |||||||
\(522\) | 171.716 | − | 677.515i | 0.328957 | − | 1.29792i | ||||
\(523\) | −797.197 | + | 290.156i | −1.52428 | + | 0.554791i | −0.962212 | − | 0.272302i | \(-0.912215\pi\) |
−0.562065 | + | 0.827093i | \(0.689993\pi\) | |||||||
\(524\) | 220.994 | − | 95.3275i | 0.421744 | − | 0.181923i | ||||
\(525\) | 1550.89 | + | 527.292i | 2.95407 | + | 1.00437i | ||||
\(526\) | −377.845 | − | 89.5509i | −0.718337 | − | 0.170249i | ||||
\(527\) | 37.7347 | − | 159.215i | 0.0716028 | − | 0.302116i | ||||
\(528\) | −118.709 | + | 23.5530i | −0.224828 | + | 0.0446080i | ||||
\(529\) | 94.5066 | + | 219.091i | 0.178651 | + | 0.414161i | ||||
\(530\) | 190.957 | + | 524.651i | 0.360297 | + | 0.989908i | ||||
\(531\) | 19.9873 | − | 9.65272i | 0.0376408 | − | 0.0181784i | ||||
\(532\) | 560.310 | + | 203.936i | 1.05321 | + | 0.383339i | ||||
\(533\) | −724.312 | + | 42.1864i | −1.35893 | + | 0.0791489i | ||||
\(534\) | 57.9608 | + | 179.569i | 0.108541 | + | 0.336271i | ||||
\(535\) | −35.8791 | + | 83.1771i | −0.0670638 | + | 0.155471i | ||||
\(536\) | 236.434 | + | 13.7707i | 0.441109 | + | 0.0256916i | ||||
\(537\) | 292.004 | − | 287.509i | 0.543769 | − | 0.535399i | ||||
\(538\) | −69.3093 | − | 73.4636i | −0.128828 | − | 0.136549i | ||||
\(539\) | −885.516 | − | 511.253i | −1.64289 | − | 0.948521i | ||||
\(540\) | −307.077 | + | 329.302i | −0.568661 | + | 0.609819i | ||||
\(541\) | −200.675 | − | 347.580i | −0.370934 | − | 0.642477i | 0.618775 | − | 0.785568i | \(-0.287629\pi\) |
−0.989710 | + | 0.143091i | \(0.954296\pi\) | |||||||
\(542\) | 542.757 | + | 162.491i | 1.00140 | + | 0.299799i | ||||
\(543\) | −585.300 | − | 278.477i | −1.07790 | − | 0.512848i | ||||
\(544\) | −43.8651 | − | 28.8505i | −0.0806343 | − | 0.0530340i | ||||
\(545\) | −124.708 | − | 1066.95i | −0.228823 | − | 1.95770i | ||||
\(546\) | −328.619 | − | 620.942i | −0.601866 | − | 1.13726i | ||||
\(547\) | −381.083 | − | 191.387i | −0.696679 | − | 0.349885i | 0.0649590 | − | 0.997888i | \(-0.479308\pi\) |
−0.761638 | + | 0.648003i | \(0.775605\pi\) | |||||||
\(548\) | −208.081 | + | 36.6902i | −0.379709 | + | 0.0669529i | ||||
\(549\) | 67.7323 | − | 510.660i | 0.123374 | − | 0.930164i | ||||
\(550\) | 110.276 | − | 625.405i | 0.200501 | − | 1.13710i | ||||
\(551\) | 1070.85 | + | 797.222i | 1.94347 | + | 1.44686i | ||||
\(552\) | 69.6111 | − | 126.739i | 0.126107 | − | 0.229599i | ||||
\(553\) | −154.503 | + | 163.764i | −0.279391 | + | 0.296138i | ||||
\(554\) | −559.992 | + | 167.651i | −1.01082 | + | 0.302618i | ||||
\(555\) | −128.875 | − | 331.875i | −0.232206 | − | 0.597974i | ||||
\(556\) | 116.359 | + | 13.6004i | 0.209278 | + | 0.0244611i | ||||
\(557\) | 64.6344 | − | 77.0283i | 0.116040 | − | 0.138291i | −0.704897 | − | 0.709309i | \(-0.749007\pi\) |
0.820938 | + | 0.571018i | \(0.193451\pi\) | |||||||
\(558\) | 109.168 | + | 196.045i | 0.195641 | + | 0.351335i | ||||
\(559\) | −257.283 | + | 215.886i | −0.460256 | + | 0.386201i | ||||
\(560\) | −224.756 | − | 341.724i | −0.401349 | − | 0.610222i | ||||
\(561\) | 172.454 | + | 221.616i | 0.307405 | + | 0.395037i | ||||
\(562\) | 172.046 | + | 231.098i | 0.306131 | + | 0.411206i | ||||
\(563\) | 343.088 | + | 683.144i | 0.609392 | + | 1.21340i | 0.960817 | + | 0.277184i | \(0.0894010\pi\) |
−0.351425 | + | 0.936216i | \(0.614303\pi\) | |||||||
\(564\) | 34.9090 | − | 366.271i | 0.0618954 | − | 0.649416i | ||||
\(565\) | −922.181 | + | 218.561i | −1.63218 | + | 0.386833i | ||||
\(566\) | 280.078i | 0.494837i | ||||||||
\(567\) | 314.267 | − | 942.295i | 0.554263 | − | 1.66190i | ||||
\(568\) | −76.8693 | −0.135333 | ||||||||
\(569\) | 94.8599 | + | 400.245i | 0.166713 | + | 0.703419i | 0.990615 | + | 0.136685i | \(0.0436449\pi\) |
−0.823901 | + | 0.566733i | \(0.808207\pi\) | |||||||
\(570\) | −357.411 | − | 782.253i | −0.627036 | − | 1.37237i | ||||
\(571\) | −323.375 | + | 162.405i | −0.566331 | + | 0.284422i | −0.708837 | − | 0.705372i | \(-0.750780\pi\) |
0.142507 | + | 0.989794i | \(0.454484\pi\) | |||||||
\(572\) | −218.468 | + | 162.643i | −0.381937 | + | 0.284341i | ||||
\(573\) | 76.1504 | + | 549.565i | 0.132898 | + | 0.959101i | ||||
\(574\) | 778.558 | − | 512.066i | 1.35637 | − | 0.892100i | ||||
\(575\) | 487.720 | + | 581.241i | 0.848208 | + | 1.01085i | ||||
\(576\) | 71.0916 | − | 11.4013i | 0.123423 | − | 0.0197940i | ||||
\(577\) | −536.833 | − | 450.456i | −0.930386 | − | 0.780687i | 0.0455003 | − | 0.998964i | \(-0.485512\pi\) |
−0.975887 | + | 0.218277i | \(0.929956\pi\) | |||||||
\(578\) | 33.3055 | − | 284.947i | 0.0576220 | − | 0.492987i | ||||
\(579\) | −174.581 | − | 140.255i | −0.301522 | − | 0.242237i | ||||
\(580\) | −262.643 | − | 877.290i | −0.452834 | − | 1.51257i | ||||
\(581\) | 529.378 | + | 499.442i | 0.911150 | + | 0.859625i | ||||
\(582\) | −282.742 | + | 171.385i | −0.485811 | + | 0.294476i | ||||
\(583\) | −285.151 | + | 383.024i | −0.489109 | + | 0.656988i | ||||
\(584\) | −107.833 | − | 19.0138i | −0.184645 | − | 0.0325579i | ||||
\(585\) | −305.644 | + | 966.119i | −0.522468 | + | 1.65149i | ||||
\(586\) | −103.023 | − | 584.270i | −0.175807 | − | 0.997048i | ||||
\(587\) | 377.432 | − | 751.530i | 0.642985 | − | 1.28029i | −0.302041 | − | 0.953295i | \(-0.597668\pi\) |
0.945026 | − | 0.326994i | \(-0.106036\pi\) | |||||||
\(588\) | 515.257 | + | 323.358i | 0.876287 | + | 0.549929i | ||||
\(589\) | −425.706 | + | 49.7579i | −0.722760 | + | 0.0844786i | ||||
\(590\) | 15.9807 | − | 24.2975i | 0.0270859 | − | 0.0411821i | ||||
\(591\) | −105.366 | − | 152.991i | −0.178285 | − | 0.258867i | ||||
\(592\) | −16.3277 | + | 54.5383i | −0.0275806 | + | 0.0921255i | ||||
\(593\) | −974.379 | + | 562.558i | −1.64313 | + | 0.948664i | −0.663425 | + | 0.748243i | \(0.730898\pi\) |
−0.979710 | + | 0.200421i | \(0.935769\pi\) | |||||||
\(594\) | −379.625 | − | 64.6619i | −0.639100 | − | 0.108858i | ||||
\(595\) | −474.515 | + | 821.884i | −0.797504 | + | 1.38132i | ||||
\(596\) | 16.0191 | − | 15.1132i | 0.0268776 | − | 0.0253577i | ||||
\(597\) | 231.645 | − | 838.446i | 0.388016 | − | 1.40443i | ||||
\(598\) | 18.9213 | − | 324.865i | 0.0316409 | − | 0.543253i | ||||
\(599\) | 668.334 | + | 288.291i | 1.11575 | + | 0.481287i | 0.872469 | − | 0.488669i | \(-0.162517\pi\) |
0.243280 | + | 0.969956i | \(0.421777\pi\) | |||||||
\(600\) | −79.2674 | + | 369.402i | −0.132112 | + | 0.615670i | ||||
\(601\) | 41.0993 | + | 705.648i | 0.0683849 | + | 1.17412i | 0.841644 | + | 0.540033i | \(0.181588\pi\) |
−0.773259 | + | 0.634090i | \(0.781375\pi\) | |||||||
\(602\) | 147.536 | − | 405.353i | 0.245077 | − | 0.673343i | ||||
\(603\) | 687.258 | + | 309.185i | 1.13973 | + | 0.512744i | ||||
\(604\) | 260.551 | − | 94.8328i | 0.431376 | − | 0.157008i | ||||
\(605\) | −147.671 | + | 63.6992i | −0.244085 | + | 0.105288i | ||||
\(606\) | −314.837 | + | 275.836i | −0.519533 | + | 0.455174i | ||||
\(607\) | 385.385 | + | 91.3380i | 0.634902 | + | 0.150475i | 0.535449 | − | 0.844568i | \(-0.320143\pi\) |
0.0994532 | + | 0.995042i | \(0.468291\pi\) | |||||||
\(608\) | −31.7156 | + | 133.819i | −0.0521638 | + | 0.220096i | ||||
\(609\) | 1331.31 | + | 1519.55i | 2.18606 | + | 2.49516i | ||||
\(610\) | −267.329 | − | 619.738i | −0.438244 | − | 1.01596i | ||||
\(611\) | −283.201 | − | 778.090i | −0.463505 | − | 1.27347i | ||||
\(612\) | −97.6717 | − | 135.535i | −0.159594 | − | 0.221463i | ||||
\(613\) | 293.202 | + | 106.717i | 0.478307 | + | 0.174090i | 0.569912 | − | 0.821706i | \(-0.306977\pi\) |
−0.0916046 | + | 0.995795i | \(0.529200\pi\) | |||||||
\(614\) | −828.587 | + | 48.2597i | −1.34949 | + | 0.0785988i | ||||
\(615\) | −1314.16 | − | 281.997i | −2.13685 | − | 0.458532i | ||||
\(616\) | 138.554 | − | 321.204i | 0.224925 | − | 0.521435i | ||||
\(617\) | 116.194 | + | 6.76754i | 0.188321 | + | 0.0109685i | 0.152046 | − | 0.988373i | \(-0.451414\pi\) |
0.0362749 | + | 0.999342i | \(0.488451\pi\) | |||||||
\(618\) | −102.119 | − | 28.2135i | −0.165242 | − | 0.0456529i | ||||
\(619\) | −238.098 | − | 252.369i | −0.384649 | − | 0.407704i | 0.505900 | − | 0.862592i | \(-0.331161\pi\) |
−0.890548 | + | 0.454888i | \(0.849679\pi\) | |||||||
\(620\) | 254.613 | + | 147.001i | 0.410665 | + | 0.237098i | ||||
\(621\) | 350.734 | − | 297.797i | 0.564790 | − | 0.479545i | ||||
\(622\) | −93.2430 | − | 161.502i | −0.149908 | − | 0.259649i | ||||
\(623\) | −522.492 | − | 156.424i | −0.838672 | − | 0.251082i | ||||
\(624\) | 133.449 | − | 91.9076i | 0.213860 | − | 0.147288i | ||||
\(625\) | −204.175 | − | 134.288i | −0.326680 | − | 0.214861i | ||||
\(626\) | 98.1420 | + | 839.659i | 0.156776 | + | 1.34131i | ||||
\(627\) | 390.994 | − | 623.032i | 0.623596 | − | 0.993671i | ||||
\(628\) | −349.975 | − | 175.764i | −0.557285 | − | 0.279879i | ||||
\(629\) | 130.088 | − | 22.9380i | 0.206817 | − | 0.0364673i | ||||
\(630\) | −280.460 | − | 1270.89i | −0.445175 | − | 2.01729i | ||||
\(631\) | −9.08324 | + | 51.5136i | −0.0143950 | + | 0.0816380i | −0.991159 | − | 0.132680i | \(-0.957642\pi\) |
0.976764 | + | 0.214318i | \(0.0687529\pi\) | |||||||
\(632\) | −41.6527 | − | 31.0093i | −0.0659062 | − | 0.0490653i | ||||
\(633\) | 87.0282 | + | 143.575i | 0.137485 | + | 0.226816i | ||||
\(634\) | −37.7763 | + | 40.0406i | −0.0595841 | + | 0.0631555i | ||||
\(635\) | 305.932 | − | 91.5901i | 0.481783 | − | 0.144236i | ||||
\(636\) | 177.923 | − | 221.468i | 0.279753 | − | 0.348220i | ||||
\(637\) | 1359.76 | + | 158.933i | 2.13463 | + | 0.249502i | ||||
\(638\) | 503.443 | − | 599.980i | 0.789095 | − | 0.940407i | ||||
\(639\) | −228.520 | − | 87.2120i | −0.357622 | − | 0.136482i | ||||
\(640\) | 72.2655 | − | 60.6379i | 0.112915 | − | 0.0947468i | ||||
\(641\) | 118.638 | + | 180.381i | 0.185083 | + | 0.281405i | 0.916097 | − | 0.400958i | \(-0.131323\pi\) |
−0.731013 | + | 0.682363i | \(0.760952\pi\) | |||||||
\(642\) | 45.6556 | − | 6.32626i | 0.0711146 | − | 0.00985399i | ||||
\(643\) | −192.061 | − | 257.982i | −0.298695 | − | 0.401217i | 0.627285 | − | 0.778790i | \(-0.284166\pi\) |
−0.925980 | + | 0.377573i | \(0.876759\pi\) | |||||||
\(644\) | 187.577 | + | 373.497i | 0.291269 | + | 0.579965i | ||||
\(645\) | −565.916 | + | 258.566i | −0.877389 | + | 0.400878i | ||||
\(646\) | 310.499 | − | 73.5896i | 0.480649 | − | 0.113916i | ||||
\(647\) | 564.446i | 0.872405i | 0.899848 | + | 0.436203i | \(0.143677\pi\) | ||||
−0.899848 | + | 0.436203i | \(0.856323\pi\) | |||||||
\(648\) | 224.279 | + | 46.7626i | 0.346110 | + | 0.0721644i | ||||
\(649\) | 24.8726 | 0.0383245 | ||||||||
\(650\) | 196.084 | + | 827.343i | 0.301667 | + | 1.27283i | ||||
\(651\) | −645.668 | − | 61.5382i | −0.991809 | − | 0.0945287i | ||||
\(652\) | 246.608 | − | 123.851i | 0.378233 | − | 0.189956i | ||||
\(653\) | −947.246 | + | 705.198i | −1.45061 | + | 1.07994i | −0.470288 | + | 0.882513i | \(0.655850\pi\) |
−0.980318 | + | 0.197423i | \(0.936743\pi\) | |||||||
\(654\) | −431.363 | + | 335.673i | −0.659577 | + | 0.513262i | ||||
\(655\) | 838.335 | − | 551.381i | 1.27990 | − | 0.841804i | ||||
\(656\) | 138.153 | + | 164.644i | 0.210599 | + | 0.250982i | ||||
\(657\) | −298.998 | − | 178.867i | −0.455096 | − | 0.272248i | ||||
\(658\) | 814.681 | + | 683.598i | 1.23812 | + | 1.03890i | ||||
\(659\) | −71.4838 | + | 611.583i | −0.108473 | + | 0.928048i | 0.823946 | + | 0.566669i | \(0.191768\pi\) |
−0.932419 | + | 0.361379i | \(0.882306\pi\) | |||||||
\(660\) | −470.339 | + | 182.643i | −0.712635 | + | 0.276732i | ||||
\(661\) | 158.326 | + | 528.845i | 0.239525 | + | 0.800068i | 0.990232 | + | 0.139433i | \(0.0445279\pi\) |
−0.750707 | + | 0.660636i | \(0.770287\pi\) | |||||||
\(662\) | 39.1020 | + | 36.8908i | 0.0590665 | + | 0.0557263i | ||||
\(663\) | −329.536 | − | 180.997i | −0.497038 | − | 0.272997i | ||||
\(664\) | −100.240 | + | 134.645i | −0.150963 | + | 0.202779i | ||||
\(665\) | 2448.14 | + | 431.673i | 3.68141 | + | 0.649132i | ||||
\(666\) | −110.416 | + | 143.609i | −0.165790 | + | 0.215629i | ||||
\(667\) | 162.497 | + | 921.567i | 0.243624 | + | 1.38166i | ||||
\(668\) | −58.9376 | + | 117.354i | −0.0882300 | + | 0.175680i | ||||
\(669\) | −606.486 | + | 320.968i | −0.906556 | + | 0.479773i | ||||
\(670\) | 980.711 | − | 114.629i | 1.46375 | − | 0.171088i | ||||
\(671\) | 317.203 | − | 482.284i | 0.472732 | − | 0.718755i | ||||
\(672\) | −89.4128 | + | 187.927i | −0.133055 | + | 0.279653i | ||||
\(673\) | −86.1803 | + | 287.862i | −0.128054 | + | 0.427730i | −0.997839 | − | 0.0657002i | \(-0.979072\pi\) |
0.869786 | + | 0.493430i | \(0.164257\pi\) | |||||||
\(674\) | 140.257 | − | 80.9772i | 0.208096 | − | 0.120144i | ||||
\(675\) | −654.754 | + | 1008.24i | −0.970006 | + | 1.49369i | ||||
\(676\) | 13.3303 | − | 23.0887i | 0.0197194 | − | 0.0341549i | ||||
\(677\) | 659.466 | − | 622.174i | 0.974101 | − | 0.919017i | −0.0226355 | − | 0.999744i | \(-0.507206\pi\) |
0.996736 | + | 0.0807272i | \(0.0257242\pi\) | |||||||
\(678\) | 338.328 | + | 343.617i | 0.499009 | + | 0.506810i | ||||
\(679\) | 55.5674 | − | 954.056i | 0.0818372 | − | 1.40509i | ||||
\(680\) | −200.986 | − | 86.6969i | −0.295568 | − | 0.127495i | ||||
\(681\) | −65.0231 | + | 20.9880i | −0.0954818 | + | 0.0308194i | ||||
\(682\) | 14.6204 | + | 251.023i | 0.0214376 | + | 0.368069i | ||||
\(683\) | −116.730 | + | 320.713i | −0.170907 | + | 0.469564i | −0.995344 | − | 0.0963906i | \(-0.969270\pi\) |
0.824436 | + | 0.565955i | \(0.191492\pi\) | |||||||
\(684\) | −246.109 | + | 361.839i | −0.359809 | + | 0.529004i | ||||
\(685\) | −827.766 | + | 301.282i | −1.20842 | + | 0.439828i | ||||
\(686\) | −834.221 | + | 359.848i | −1.21607 | + | 0.524559i | ||||
\(687\) | 127.530 | + | 642.762i | 0.185633 | + | 0.935607i | ||||
\(688\) | 96.8102 | + | 22.9444i | 0.140712 | + | 0.0333495i | ||||
\(689\) | 147.440 | − | 622.100i | 0.213992 | − | 0.902903i | ||||
\(690\) | 194.053 | − | 570.754i | 0.281236 | − | 0.827180i | ||||
\(691\) | −347.687 | − | 806.030i | −0.503166 | − | 1.16647i | −0.960778 | − | 0.277317i | \(-0.910555\pi\) |
0.457613 | − | 0.889152i | \(-0.348705\pi\) | |||||||
\(692\) | 50.9177 | + | 139.895i | 0.0735805 | + | 0.202161i | ||||
\(693\) | 776.321 | − | 797.693i | 1.12023 | − | 1.15107i | ||||
\(694\) | 276.215 | + | 100.534i | 0.398004 | + | 0.144862i | ||||
\(695\) | 487.587 | − | 28.3987i | 0.701564 | − | 0.0408614i | ||||
\(696\) | −312.457 | + | 345.670i | −0.448933 | + | 0.496652i | ||||
\(697\) | 197.523 | − | 457.910i | 0.283391 | − | 0.656973i | ||||
\(698\) | 582.206 | + | 33.9096i | 0.834106 | + | 0.0485811i | ||||
\(699\) | −145.952 | − | 562.103i | −0.208801 | − | 0.804153i | ||||
\(700\) | −749.410 | − | 794.328i | −1.07059 | − | 1.13475i | ||||
\(701\) | −199.310 | − | 115.072i | −0.284323 | − | 0.164154i | 0.351056 | − | 0.936354i | \(-0.385823\pi\) |
−0.635379 | + | 0.772201i | \(0.719156\pi\) | |||||||
\(702\) | 500.996 | − | 121.823i | 0.713669 | − | 0.173537i | ||||
\(703\) | −173.005 | − | 299.654i | −0.246096 | − | 0.426250i | ||||
\(704\) | 77.2925 | + | 23.1399i | 0.109791 | + | 0.0328691i | ||||
\(705\) | −121.836 | − | 1529.09i | −0.172817 | − | 2.16892i | ||||
\(706\) | −291.284 | − | 191.580i | −0.412583 | − | 0.271360i | ||||
\(707\) | −140.459 | − | 1201.71i | −0.198669 | − | 1.69972i | ||||
\(708\) | −14.7874 | − | 0.545082i | −0.0208861 | − | 0.000769890i | ||||
\(709\) | 711.031 | + | 357.093i | 1.00286 | + | 0.503658i | 0.872920 | − | 0.487864i | \(-0.162224\pi\) |
0.129945 | + | 0.991521i | \(0.458520\pi\) | |||||||
\(710\) | −315.607 | + | 55.6500i | −0.444516 | + | 0.0783802i | ||||
\(711\) | −88.6454 | − | 139.443i | −0.124677 | − | 0.196122i | ||||
\(712\) | 21.8439 | − | 123.883i | 0.0306797 | − | 0.173993i | ||||
\(713\) | −240.981 | − | 179.404i | −0.337982 | − | 0.251618i | ||||
\(714\) | 482.776 | − | 10.3006i | 0.676156 | − | 0.0144266i | ||||
\(715\) | −779.229 | + | 825.935i | −1.08983 | + | 1.15515i | ||||
\(716\) | −261.716 | + | 78.3527i | −0.365525 | + | 0.109431i | ||||
\(717\) | 512.420 | + | 79.1228i | 0.714673 | + | 0.110353i | ||||
\(718\) | −391.583 | − | 45.7695i | −0.545380 | − | 0.0637458i | ||||
\(719\) | −476.344 | + | 567.685i | −0.662510 | + | 0.789548i | −0.987744 | − | 0.156085i | \(-0.950113\pi\) |
0.325234 | + | 0.945634i | \(0.394557\pi\) | |||||||
\(720\) | 283.631 | − | 98.2783i | 0.393931 | − | 0.136498i | ||||
\(721\) | 234.586 | − | 196.841i | 0.325362 | − | 0.273011i | ||||
\(722\) | −178.770 | − | 271.806i | −0.247604 | − | 0.376463i | ||||
\(723\) | 500.645 | − | 1232.26i | 0.692455 | − | 1.70437i | ||||
\(724\) | 258.040 | + | 346.608i | 0.356409 | + | 0.478741i | ||||
\(725\) | −1097.34 | − | 2184.98i | −1.51357 | − | 3.01377i | ||||
\(726\) | 66.6656 | + | 47.4546i | 0.0918259 | + | 0.0653644i | ||||
\(727\) | 599.400 | − | 142.060i | 0.824484 | − | 0.195406i | 0.203345 | − | 0.979107i | \(-0.434819\pi\) |
0.621138 | + | 0.783701i | \(0.286670\pi\) | |||||||
\(728\) | 468.359i | 0.643350i | ||||||||
\(729\) | 613.693 | + | 393.474i | 0.841829 | + | 0.539745i | ||||
\(730\) | −456.501 | −0.625344 | ||||||||
\(731\) | −53.2379 | − | 224.628i | −0.0728289 | − | 0.307289i | ||||
\(732\) | −199.154 | + | 279.778i | −0.272069 | + | 0.382211i | ||||
\(733\) | 246.667 | − | 123.881i | 0.336518 | − | 0.169006i | −0.272513 | − | 0.962152i | \(-0.587855\pi\) |
0.609031 | + | 0.793147i | \(0.291559\pi\) | |||||||
\(734\) | −620.977 | + | 462.300i | −0.846018 | + | 0.629837i | ||||
\(735\) | 2349.62 | + | 954.608i | 3.19676 | + | 1.29879i | ||||
\(736\) | −80.5396 | + | 52.9717i | −0.109429 | + | 0.0719725i | ||||
\(737\) | 542.819 | + | 646.906i | 0.736525 | + | 0.877756i | ||||
\(738\) | 223.909 | + | 646.202i | 0.303400 | + | 0.875612i | ||||
\(739\) | −489.880 | − | 411.058i | −0.662895 | − | 0.556235i | 0.248058 | − | 0.968745i | \(-0.420208\pi\) |
−0.910953 | + | 0.412510i | \(0.864652\pi\) | |||||||
\(740\) | −27.5542 | + | 235.741i | −0.0372354 | + | 0.318570i | ||||
\(741\) | −150.286 | + | 973.291i | −0.202815 | + | 1.31348i | ||||
\(742\) | 235.506 | + | 786.643i | 0.317393 | + | 1.06017i | ||||
\(743\) | 690.305 | + | 651.269i | 0.929078 | + | 0.876540i | 0.992599 | − | 0.121440i | \(-0.0387513\pi\) |
−0.0635204 | + | 0.997981i | \(0.520233\pi\) | |||||||
\(744\) | −3.19104 | − | 149.560i | −0.00428903 | − | 0.201021i | ||||
\(745\) | 54.8291 | − | 73.6482i | 0.0735960 | − | 0.0988566i | ||||
\(746\) | 646.359 | + | 113.971i | 0.866433 | + | 0.152776i | ||||
\(747\) | −450.758 | + | 286.552i | −0.603424 | + | 0.383603i | ||||
\(748\) | −32.5081 | − | 184.362i | −0.0434600 | − | 0.246474i | ||||
\(749\) | −59.7920 | + | 119.056i | −0.0798292 | + | 0.158953i | ||||
\(750\) | −25.4440 | + | 690.262i | −0.0339253 | + | 0.920349i | ||||
\(751\) | 656.805 | − | 76.7695i | 0.874574 | − | 0.102223i | 0.333051 | − | 0.942909i | \(-0.391922\pi\) |
0.541523 | + | 0.840686i | \(0.317848\pi\) | |||||||
\(752\) | −134.787 | + | 204.934i | −0.179239 | + | 0.272519i | ||||
\(753\) | 1322.14 | − | 105.346i | 1.75583 | − | 0.139902i | ||||
\(754\) | −300.752 | + | 1004.58i | −0.398876 | + | 1.33234i | ||||
\(755\) | 1001.10 | − | 577.988i | 1.32597 | − | 0.765547i | ||||
\(756\) | −479.023 | + | 457.234i | −0.633628 | + | 0.604807i | ||||
\(757\) | −651.338 | + | 1128.15i | −0.860420 | + | 1.49029i | 0.0111041 | + | 0.999938i | \(0.496465\pi\) |
−0.871524 | + | 0.490353i | \(0.836868\pi\) | |||||||
\(758\) | 624.863 | − | 589.528i | 0.824358 | − | 0.777741i | ||||
\(759\) | 499.040 | − | 129.577i | 0.657496 | − | 0.170721i | ||||
\(760\) | −33.3378 | + | 572.387i | −0.0438655 | + | 0.753141i | ||||
\(761\) | 255.545 | + | 110.231i | 0.335802 | + | 0.144851i | 0.557303 | − | 0.830309i | \(-0.311836\pi\) |
−0.221501 | + | 0.975160i | \(0.571096\pi\) | |||||||
\(762\) | −120.543 | − | 108.961i | −0.158193 | − | 0.142994i | ||||
\(763\) | −91.8615 | − | 1577.20i | −0.120395 | − | 2.06710i | ||||
\(764\) | 126.505 | − | 347.571i | 0.165583 | − | 0.454936i | ||||
\(765\) | −499.138 | − | 485.765i | −0.652468 | − | 0.634987i | ||||
\(766\) | 4.60107 | − | 1.67465i | 0.00600661 | − | 0.00218623i | ||||
\(767\) | −30.5779 | + | 13.1900i | −0.0398669 | + | 0.0171969i | ||||
\(768\) | −45.4452 | − | 15.4511i | −0.0591734 | − | 0.0201186i | ||||
\(769\) | −239.862 | − | 56.8484i | −0.311914 | − | 0.0739251i | 0.0716773 | − | 0.997428i | \(-0.477165\pi\) |
−0.383592 | + | 0.923503i | \(0.625313\pi\) | |||||||
\(770\) | 336.331 | − | 1419.09i | 0.436794 | − | 1.84298i | ||||
\(771\) | 37.5721 | − | 7.45467i | 0.0487317 | − | 0.00966883i | ||||
\(772\) | 59.1327 | + | 137.085i | 0.0765968 | + | 0.177571i | ||||
\(773\) | −151.160 | − | 415.308i | −0.195549 | − | 0.537267i | 0.802702 | − | 0.596380i | \(-0.203395\pi\) |
−0.998251 | + | 0.0591131i | \(0.981173\pi\) | |||||||
\(774\) | 261.770 | + | 178.046i | 0.338204 | + | 0.230034i | ||||
\(775\) | 737.635 | + | 268.477i | 0.951787 | + | 0.346422i | ||||
\(776\) | 220.047 | − | 12.8163i | 0.283565 | − | 0.0165158i | ||||
\(777\) | −160.838 | − | 498.293i | −0.206999 | − | 0.641304i | ||||
\(778\) | 315.195 | − | 730.705i | 0.405136 | − | 0.939210i | ||||
\(779\) | −1304.08 | − | 75.9542i | −1.67405 | − | 0.0975021i | ||||
\(780\) | 481.371 | − | 473.961i | 0.617142 | − | 0.607643i | ||||
\(781\) | −188.093 | − | 199.366i | −0.240836 | − | 0.255271i | ||||
\(782\) | 193.706 | + | 111.836i | 0.247706 | + | 0.143013i | ||||
\(783\) | −1321.07 | + | 673.123i | −1.68719 | + | 0.859671i | ||||
\(784\) | −202.772 | − | 351.212i | −0.258638 | − | 0.447975i | ||||
\(785\) | −1564.16 | − | 468.278i | −1.99256 | − | 0.596533i | ||||
\(786\) | −461.032 | − | 219.352i | −0.586554 | − | 0.279073i | ||||
\(787\) | 432.959 | + | 284.762i | 0.550138 | + | 0.361832i | 0.793943 | − | 0.607993i | \(-0.208025\pi\) |
−0.243804 | + | 0.969824i | \(0.578395\pi\) | |||||||
\(788\) | 14.3772 | + | 123.005i | 0.0182452 | + | 0.156098i | ||||
\(789\) | 385.310 | + | 728.062i | 0.488352 | + | 0.922766i | ||||
\(790\) | −193.465 | − | 97.1619i | −0.244893 | − | 0.122990i | ||||
\(791\) | −1372.67 | + | 242.039i | −1.73536 | + | 0.305991i | ||||
\(792\) | 203.525 | + | 156.483i | 0.256976 | + | 0.197580i | ||||
\(793\) | −134.207 | + | 761.127i | −0.169240 | + | 0.959807i | ||||
\(794\) | 565.405 | + | 420.928i | 0.712097 | + | 0.530136i | ||||
\(795\) | 570.176 | − | 1038.10i | 0.717202 | − | 1.30579i | ||||
\(796\) | −397.955 | + | 421.808i | −0.499943 | + | 0.529909i | ||||
\(797\) | −1.52234 | + | 0.455760i | −0.00191009 | + | 0.000571844i | −0.287758 | − | 0.957703i | \(-0.592910\pi\) |
0.285848 | + | 0.958275i | \(0.407725\pi\) | |||||||
\(798\) | −457.870 | − | 1179.10i | −0.573772 | − | 1.47757i | ||||
\(799\) | 565.291 | + | 66.0730i | 0.707498 | + | 0.0826946i | ||||
\(800\) | 161.901 | − | 192.947i | 0.202377 | − | 0.241183i | ||||
\(801\) | 205.490 | − | 343.502i | 0.256542 | − | 0.428841i | ||||
\(802\) | 163.424 | − | 137.129i | 0.203770 | − | 0.170984i | ||||
\(803\) | −214.544 | − | 326.198i | −0.267178 | − | 0.406224i | ||||
\(804\) | −308.542 | − | 396.497i | −0.383759 | − | 0.493156i | ||||
\(805\) | 1040.54 | + | 1397.69i | 1.29260 | + | 1.73626i | ||||
\(806\) | −151.093 | − | 300.851i | −0.187460 | − | 0.373264i | ||||
\(807\) | −20.3279 | + | 213.284i | −0.0251895 | + | 0.264292i | ||||
\(808\) | 271.530 | − | 64.3539i | 0.336052 | − | 0.0796459i | ||||
\(809\) | − | 957.921i | − | 1.18408i | −0.805909 | − | 0.592040i | \(-0.798323\pi\) | ||
0.805909 | − | 0.592040i | \(-0.201677\pi\) | |||||||
\(810\) | 954.691 | + | 29.6273i | 1.17863 | + | 0.0365769i | ||||
\(811\) | −667.124 | −0.822594 | −0.411297 | − | 0.911501i | \(-0.634924\pi\) | ||||
−0.411297 | + | 0.911501i | \(0.634924\pi\) | |||||||
\(812\) | −310.602 | − | 1310.53i | −0.382515 | − | 1.61396i | ||||
\(813\) | −499.462 | − | 1093.15i | −0.614344 | − | 1.34459i | ||||
\(814\) | −181.402 | + | 91.1034i | −0.222852 | + | 0.111921i | ||||
\(815\) | 922.850 | − | 687.037i | 1.13233 | − | 0.842990i | ||||
\(816\) | 15.2865 | + | 110.320i | 0.0187335 | + | 0.135196i | ||||
\(817\) | −505.216 | + | 332.286i | −0.618379 | + | 0.406714i | ||||
\(818\) | 542.245 | + | 646.222i | 0.662891 | + | 0.790003i | ||||
\(819\) | −531.376 | + | 1392.36i | −0.648811 | + | 1.70007i | ||||
\(820\) | 686.416 | + | 575.972i | 0.837093 | + | 0.702404i | ||||
\(821\) | 46.2753 | − | 395.910i | 0.0563645 | − | 0.482229i | −0.935346 | − | 0.353735i | \(-0.884912\pi\) |
0.991710 | − | 0.128494i | \(-0.0410144\pi\) | |||||||
\(822\) | 349.420 | + | 280.717i | 0.425085 | + | 0.341505i | ||||
\(823\) | −115.491 | − | 385.766i | −0.140329 | − | 0.468731i | 0.858715 | − | 0.512454i | \(-0.171263\pi\) |
−0.999044 | + | 0.0437225i | \(0.986078\pi\) | |||||||
\(824\) | 51.3744 | + | 48.4693i | 0.0623476 | + | 0.0588220i | ||||
\(825\) | −1152.03 | + | 698.309i | −1.39640 | + | 0.846435i | ||||
\(826\) | 25.5413 | − | 34.3079i | 0.0309217 | − | 0.0415350i | ||||
\(827\) | −1314.05 | − | 231.703i | −1.58894 | − | 0.280173i | −0.691857 | − | 0.722035i | \(-0.743207\pi\) |
−0.897083 | + | 0.441861i | \(0.854318\pi\) | |||||||
\(828\) | −299.531 | + | 66.1005i | −0.361752 | + | 0.0798315i | ||||
\(829\) | −261.722 | − | 1484.30i | −0.315708 | − | 1.79047i | −0.568223 | − | 0.822875i | \(-0.692369\pi\) |
0.252515 | − | 0.967593i | \(-0.418742\pi\) | |||||||
\(830\) | −314.082 | + | 625.389i | −0.378412 | + | 0.753480i | ||||
\(831\) | 1050.32 | + | 659.145i | 1.26392 | + | 0.793195i | ||||
\(832\) | −107.293 | + | 12.5408i | −0.128958 | + | 0.0150731i | ||||
\(833\) | −517.080 | + | 786.182i | −0.620744 | + | 0.943796i | ||||
\(834\) | −140.959 | − | 204.671i | −0.169016 | − | 0.245408i | ||||
\(835\) | −157.024 | + | 524.497i | −0.188053 | + | 0.628141i | ||||
\(836\) | −424.674 | + | 245.186i | −0.507984 | + | 0.293285i | ||||
\(837\) | 160.197 | − | 448.238i | 0.191394 | − | 0.535529i | ||||
\(838\) | 427.500 | − | 740.451i | 0.510143 | − | 0.883594i | ||||
\(839\) | −865.226 | + | 816.299i | −1.03126 | + | 0.972942i | −0.999647 | − | 0.0265580i | \(-0.991545\pi\) |
−0.0316113 | + | 0.999500i | \(0.510064\pi\) | |||||||
\(840\) | −231.056 | + | 836.314i | −0.275067 | + | 0.995612i | ||||
\(841\) | 126.437 | − | 2170.84i | 0.150341 | − | 2.58126i | ||||
\(842\) | −591.892 | − | 255.317i | −0.702960 | − | 0.303227i | ||||
\(843\) | 128.227 | − | 597.565i | 0.152108 | − | 0.708856i | ||||
\(844\) | −6.50802 | − | 111.738i | −0.00771092 | − | 0.132391i | ||||
\(845\) | 38.0157 | − | 104.447i | 0.0449890 | − | 0.123606i | ||||
\(846\) | −633.210 | + | 456.314i | −0.748475 | + | 0.539379i | ||||
\(847\) | −222.264 | + | 80.8975i | −0.262413 | + | 0.0955106i | ||||
\(848\) | −173.901 | + | 75.0137i | −0.205072 | + | 0.0884596i | ||||
\(849\) | 446.883 | − | 391.524i | 0.526364 | − | 0.461159i | ||||
\(850\) | −568.669 | − | 134.777i | −0.669023 | − | 0.158561i | ||||
\(851\) | 55.9325 | − | 235.998i | 0.0657256 | − | 0.277318i | ||||
\(852\) | 107.456 | + | 122.650i | 0.126123 | + | 0.143956i | ||||
\(853\) | 307.919 | + | 713.837i | 0.360984 | + | 0.836855i | 0.997829 | + | 0.0658629i | \(0.0209800\pi\) |
−0.636845 | + | 0.770992i | \(0.719761\pi\) | |||||||
\(854\) | −339.506 | − | 932.784i | −0.397548 | − | 1.09225i | ||||
\(855\) | −748.510 | + | 1663.79i | −0.875450 | + | 1.94596i | ||||
\(856\) | −28.8747 | − | 10.5095i | −0.0337322 | − | 0.0122775i | ||||
\(857\) | −827.127 | + | 48.1747i | −0.965143 | + | 0.0562132i | −0.533472 | − | 0.845818i | \(-0.679113\pi\) |
−0.431671 | + | 0.902031i | \(0.642076\pi\) | |||||||
\(858\) | 564.907 | + | 121.220i | 0.658400 | + | 0.141281i | ||||
\(859\) | −399.623 | + | 926.430i | −0.465219 | + | 1.07850i | 0.510580 | + | 0.859830i | \(0.329431\pi\) |
−0.975799 | + | 0.218669i | \(0.929829\pi\) | |||||||
\(860\) | 414.090 | + | 24.1180i | 0.481500 | + | 0.0280442i | ||||
\(861\) | −1905.39 | − | 526.420i | −2.21300 | − | 0.611406i | ||||
\(862\) | 125.877 | + | 133.422i | 0.146029 | + | 0.154782i | ||||
\(863\) | −126.738 | − | 73.1721i | −0.146857 | − | 0.0847881i | 0.424771 | − | 0.905301i | \(-0.360355\pi\) |
−0.571628 | + | 0.820513i | \(0.693688\pi\) | |||||||
\(864\) | −117.571 | − | 97.4935i | −0.136078 | − | 0.112840i | ||||
\(865\) | 310.334 | + | 537.514i | 0.358767 | + | 0.621403i | ||||
\(866\) | −98.4169 | − | 29.4641i | −0.113645 | − | 0.0340232i | ||||
\(867\) | −501.210 | + | 345.189i | −0.578097 | + | 0.398142i | ||||
\(868\) | 361.261 | + | 237.605i | 0.416200 | + | 0.273739i | ||||
\(869\) | −21.4956 | − | 183.907i | −0.0247360 | − | 0.211630i | ||||
\(870\) | −1032.63 | + | 1645.44i | −1.18693 | + | 1.89131i | ||||
\(871\) | −1010.39 | − | 507.437i | −1.16003 | − | 0.582591i | ||||
\(872\) | 358.851 | − | 63.2752i | 0.411527 | − | 0.0725633i | ||||
\(873\) | 668.705 | + | 211.553i | 0.765985 | + | 0.242329i | ||||
\(874\) | 101.739 | − | 576.992i | 0.116406 | − | 0.660174i | ||||
\(875\) | −1601.47 | − | 1192.25i | −1.83025 | − | 1.36257i | ||||
\(876\) | 120.403 | + | 198.634i | 0.137446 | + | 0.226752i | ||||
\(877\) | 872.191 | − | 924.468i | 0.994516 | − | 1.05413i | −0.00401763 | − | 0.999992i | \(-0.501279\pi\) |
0.998534 | − | 0.0541335i | \(-0.0172397\pi\) | |||||||
\(878\) | −201.694 | + | 60.3832i | −0.229720 | + | 0.0687736i | ||||
\(879\) | −788.227 | + | 981.138i | −0.896732 | + | 1.11620i | ||||
\(880\) | 334.097 | + | 39.0503i | 0.379655 | + | 0.0443753i | ||||
\(881\) | 390.044 | − | 464.837i | 0.442729 | − | 0.527624i | −0.497821 | − | 0.867280i | \(-0.665866\pi\) |
0.940550 | + | 0.339656i | \(0.110311\pi\) | |||||||
\(882\) | −204.343 | − | 1274.15i | −0.231681 | − | 1.44462i | ||||
\(883\) | 798.782 | − | 670.257i | 0.904622 | − | 0.759068i | −0.0664660 | − | 0.997789i | \(-0.521172\pi\) |
0.971088 | + | 0.238720i | \(0.0767279\pi\) | |||||||
\(884\) | 137.733 | + | 209.413i | 0.155807 | + | 0.236892i | ||||
\(885\) | −61.1079 | + | 8.46742i | −0.0690485 | + | 0.00956770i | ||||
\(886\) | 271.058 | + | 364.094i | 0.305935 | + | 0.410941i | ||||
\(887\) | 86.5824 | + | 172.400i | 0.0976126 | + | 0.194363i | 0.937139 | − | 0.348956i | \(-0.113464\pi\) |
−0.839526 | + | 0.543319i | \(0.817167\pi\) | |||||||
\(888\) | 109.844 | − | 50.1878i | 0.123699 | − | 0.0565178i | ||||
\(889\) | 457.014 | − | 108.314i | 0.514076 | − | 0.121838i | ||||
\(890\) | − | 524.447i | − | 0.589267i | ||||||
\(891\) | 427.510 | + | 696.110i | 0.479810 | + | 0.781269i | ||||
\(892\) | 457.455 | 0.512842 | ||||||||
\(893\) | −343.805 | − | 1450.63i | −0.385000 | − | 1.62444i | ||||
\(894\) | −46.5074 | − | 4.43259i | −0.0520217 | − | 0.00495815i | ||||
\(895\) | −1017.82 | + | 511.168i | −1.13723 | + | 0.571138i | ||||
\(896\) | 111.288 | − | 82.8512i | 0.124206 | − | 0.0924678i | ||||
\(897\) | −544.796 | + | 423.943i | −0.607353 | + | 0.472623i | ||||
\(898\) | −231.929 | + | 152.542i | −0.258272 | + | 0.169868i | ||||
\(899\) | 622.294 | + | 741.621i | 0.692207 | + | 0.824940i | ||||
\(900\) | 700.215 | − | 389.915i | 0.778017 | − | 0.433239i | ||||
\(901\) | 336.632 | + | 282.468i | 0.373621 | + | 0.313505i | ||||
\(902\) | −88.9691 | + | 761.180i | −0.0986354 | + | 0.843880i | ||||
\(903\) | −853.011 | + | 331.243i | −0.944641 | + | 0.366825i | ||||
\(904\) | −92.2020 | − | 307.976i | −0.101993 | − | 0.340682i | ||||
\(905\) | 1310.38 | + | 1236.28i | 1.44793 | + | 1.36606i | ||||
\(906\) | −515.540 | − | 283.159i | −0.569028 | − | 0.312538i | ||||
\(907\) | −535.368 | + | 719.124i | −0.590262 | + | 0.792860i | −0.992444 | − | 0.122700i | \(-0.960845\pi\) |
0.402182 | + | 0.915560i | \(0.368252\pi\) | |||||||
\(908\) | 44.8589 | + | 7.90984i | 0.0494041 | + | 0.00871127i | ||||
\(909\) | 880.230 | + | 116.751i | 0.968349 | + | 0.128439i | ||||
\(910\) | 339.071 | + | 1922.97i | 0.372605 | + | 2.11315i | ||||
\(911\) | 13.1805 | − | 26.2446i | 0.0144682 | − | 0.0288086i | −0.886282 | − | 0.463145i | \(-0.846721\pi\) |
0.900751 | + | 0.434337i | \(0.143017\pi\) | |||||||
\(912\) | 257.852 | − | 136.462i | 0.282733 | − | 0.149630i | ||||
\(913\) | −594.490 | + | 69.4859i | −0.651139 | + | 0.0761072i | ||||
\(914\) | −90.1834 | + | 137.117i | −0.0986690 | + | 0.150019i | ||||
\(915\) | −615.133 | + | 1292.88i | −0.672276 | + | 1.41298i | ||||
\(916\) | 125.293 | − | 418.508i | 0.136783 | − | 0.456887i | ||||
\(917\) | 1278.03 | − | 737.869i | 1.39370 | − | 0.804656i | ||||
\(918\) | −79.7194 | + | 345.308i | −0.0868403 | + | 0.376153i | ||||
\(919\) | 55.7716 | − | 96.5993i | 0.0606873 | − | 0.105113i | −0.834086 | − | 0.551635i | \(-0.814004\pi\) |
0.894773 | + | 0.446522i | \(0.147337\pi\) | |||||||
\(920\) | −292.327 | + | 275.796i | −0.317747 | + | 0.299779i | ||||
\(921\) | 1235.29 | + | 1254.60i | 1.34125 | + | 1.36222i | ||||
\(922\) | −70.1797 | + | 1204.94i | −0.0761168 | + | 1.30687i | ||||
\(923\) | 336.963 | + | 145.352i | 0.365074 | + | 0.157477i | ||||
\(924\) | −706.189 | + | 227.943i | −0.764274 | + | 0.246691i | ||||
\(925\) | 36.8468 | + | 632.635i | 0.0398344 | + | 0.683930i | ||||
\(926\) | 131.327 | − | 360.817i | 0.141822 | − | 0.389652i | ||||
\(927\) | 97.7373 | + | 202.378i | 0.105434 | + | 0.218316i | ||||
\(928\) | 291.905 | − | 106.245i | 0.314553 | − | 0.114488i | ||||
\(929\) | 661.748 | − | 285.450i | 0.712323 | − | 0.307266i | −0.00890869 | − | 0.999960i | \(-0.502836\pi\) |
0.721231 | + | 0.692694i | \(0.243577\pi\) | |||||||
\(930\) | −121.376 | − | 611.746i | −0.130512 | − | 0.657791i | ||||
\(931\) | 2398.39 | + | 568.430i | 2.57615 | + | 0.610558i | ||||
\(932\) | −89.2856 | + | 376.726i | −0.0958000 | + | 0.404212i | ||||
\(933\) | −127.342 | + | 374.541i | −0.136486 | + | 0.401437i | ||||
\(934\) | −429.250 | − | 995.113i | −0.459582 | − | 1.06543i | ||||
\(935\) | −266.940 | − | 733.413i | −0.285498 | − | 0.784398i | ||||
\(936\) | −333.195 | − | 84.4479i | −0.355977 | − | 0.0902221i | ||||
\(937\) | −1324.01 | − | 481.902i | −1.41304 | − | 0.514303i | −0.481016 | − | 0.876712i | \(-0.659732\pi\) |
−0.932019 | + | 0.362409i | \(0.881954\pi\) | |||||||
\(938\) | 1449.72 | − | 84.4366i | 1.54554 | − | 0.0900177i | ||||
\(939\) | 1202.54 | − | 1330.36i | 1.28066 | − | 1.41679i | ||||
\(940\) | −405.041 | + | 938.990i | −0.430895 | + | 0.998926i | ||||
\(941\) | 104.855 | + | 6.10712i | 0.111430 | + | 0.00649003i | 0.113769 | − | 0.993507i | \(-0.463708\pi\) |
−0.00233941 | + | 0.999997i | \(0.500745\pi\) | |||||||
\(942\) | 208.791 | + | 804.112i | 0.221646 | + | 0.853622i | ||||
\(943\) | −628.353 | − | 666.015i | −0.666334 | − | 0.706272i | ||||
\(944\) | 8.54328 | + | 4.93246i | 0.00905008 | + | 0.00522507i | ||||
\(945\) | −1635.73 | + | 2224.09i | −1.73094 | + | 2.35353i | ||||
\(946\) | 177.378 | + | 307.228i | 0.187503 | + | 0.324765i | ||||
\(947\) | 1502.36 | + | 449.776i | 1.58644 | + | 0.474948i | 0.954036 | − | 0.299692i | \(-0.0968840\pi\) |
0.632402 | + | 0.774641i | \(0.282069\pi\) | |||||||
\(948\) | 8.74935 | + | 109.808i | 0.00922927 | + | 0.115831i | ||||
\(949\) | 436.741 | + | 287.249i | 0.460212 | + | 0.302686i | ||||
\(950\) | 177.720 | + | 1520.50i | 0.187074 | + | 1.60052i | ||||
\(951\) | 116.695 | + | 4.30155i | 0.122708 | + | 0.00452319i | ||||
\(952\) | −287.681 | − | 144.479i | −0.302186 | − | 0.151764i | ||||
\(953\) | 212.372 | − | 37.4469i | 0.222846 | − | 0.0392938i | −0.0611102 | − | 0.998131i | \(-0.519464\pi\) |
0.283956 | + | 0.958837i | \(0.408353\pi\) | |||||||
\(954\) | −602.088 | + | 25.7042i | −0.631120 | + | 0.0269437i | ||||
\(955\) | 267.775 | − | 1518.63i | 0.280392 | − | 1.59018i | ||||
\(956\) | −277.264 | − | 206.415i | −0.290025 | − | 0.215915i | ||||
\(957\) | −1661.08 | + | 35.4411i | −1.73571 | + | 0.0370335i | ||||
\(958\) | 337.523 | − | 357.754i | 0.352321 | − | 0.373438i | ||||
\(959\) | −1241.12 | + | 371.568i | −1.29418 | + | 0.387453i | ||||
\(960\) | −197.773 | − | 30.5381i | −0.206013 | − | 0.0318105i | ||||
\(961\) | 645.794 | + | 75.4825i | 0.672002 | + | 0.0785458i | ||||
\(962\) | 174.700 | − | 208.199i | 0.181601 | − | 0.216423i | ||||
\(963\) | −73.9165 | − | 64.0031i | −0.0767565 | − | 0.0664622i | ||||
\(964\) | −679.266 | + | 569.972i | −0.704633 | + | 0.591257i | ||||
\(965\) | 342.028 | + | 520.028i | 0.354433 | + | 0.538889i | ||||
\(966\) | 333.724 | − | 821.409i | 0.345470 | − | 0.850320i | ||||
\(967\) | −657.920 | − | 883.740i | −0.680372 | − | 0.913898i | 0.319055 | − | 0.947736i | \(-0.396634\pi\) |
−0.999427 | + | 0.0338379i | \(0.989227\pi\) | |||||||
\(968\) | −24.4837 | − | 48.7510i | −0.0252930 | − | 0.0503626i | ||||
\(969\) | −551.468 | − | 392.551i | −0.569110 | − | 0.405109i | ||||
\(970\) | 894.180 | − | 211.925i | 0.921835 | − | 0.218479i | ||||
\(971\) | 1009.21i | 1.03935i | 0.854363 | + | 0.519676i | \(0.173947\pi\) | ||||
−0.854363 | + | 0.519676i | \(0.826053\pi\) | |||||||
\(972\) | −238.910 | − | 423.223i | −0.245792 | − | 0.435415i | ||||
\(973\) | 718.323 | 0.738256 | ||||||||
\(974\) | 247.228 | + | 1043.14i | 0.253828 | + | 1.07098i | ||||
\(975\) | 1045.97 | − | 1469.42i | 1.07279 | − | 1.50709i | ||||
\(976\) | 204.595 | − | 102.752i | 0.209626 | − | 0.105278i | ||||
\(977\) | −439.198 | + | 326.970i | −0.449537 | + | 0.334668i | −0.798003 | − | 0.602654i | \(-0.794110\pi\) |
0.348466 | + | 0.937321i | \(0.386703\pi\) | |||||||
\(978\) | −542.350 | − | 220.347i | −0.554550 | − | 0.225304i | ||||
\(979\) | 374.750 | − | 246.477i | 0.382789 | − | 0.251764i | ||||
\(980\) | −1086.80 | − | 1295.19i | −1.10898 | − | 1.32163i | ||||
\(981\) | 1138.60 | + | 219.028i | 1.16065 | + | 0.223270i | ||||
\(982\) | −771.666 | − | 647.505i | −0.785811 | − | 0.659373i | ||||
\(983\) | 82.4326 | − | 705.256i | 0.0838582 | − | 0.717453i | −0.884266 | − | 0.466983i | \(-0.845341\pi\) |
0.968124 | − | 0.250470i | \(-0.0805851\pi\) | |||||||
\(984\) | 69.5755 | − | 450.590i | 0.0707068 | − | 0.457917i | ||||
\(985\) | 148.080 | + | 494.621i | 0.150335 | + | 0.502153i | ||||
\(986\) | −524.273 | − | 494.626i | −0.531717 | − | 0.501649i | ||||
\(987\) | −48.1236 | − | 2255.49i | −0.0487574 | − | 2.28520i | ||||
\(988\) | 392.065 | − | 526.634i | 0.396827 | − | 0.533031i | ||||
\(989\) | −417.421 | − | 73.6025i | −0.422063 | − | 0.0744212i | ||||
\(990\) | 948.913 | + | 495.140i | 0.958497 | + | 0.500141i | ||||
\(991\) | 191.741 | + | 1087.42i | 0.193482 | + | 1.09729i | 0.914564 | + | 0.404441i | \(0.132534\pi\) |
−0.721082 | + | 0.692850i | \(0.756355\pi\) | |||||||
\(992\) | −44.7584 | + | 89.1213i | −0.0451193 | + | 0.0898400i | ||||
\(993\) | 4.20073 | − | 113.960i | 0.00423034 | − | 0.114763i | ||||
\(994\) | −468.145 | + | 54.7183i | −0.470971 | + | 0.0550486i | ||||
\(995\) | −1328.54 | + | 2019.94i | −1.33521 | + | 2.03009i | ||||
\(996\) | 354.961 | − | 28.2828i | 0.356387 | − | 0.0283964i | ||||
\(997\) | −356.125 | + | 1189.54i | −0.357196 | + | 1.19312i | 0.570976 | + | 0.820967i | \(0.306565\pi\) |
−0.928172 | + | 0.372152i | \(0.878620\pi\) | |||||||
\(998\) | −138.205 | + | 79.7929i | −0.138482 | + | 0.0799528i | ||||
\(999\) | 383.490 | − | 24.5765i | 0.383874 | − | 0.0246011i |
(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 | 162.3.h.a.5.15 | ✓ | 324 | |
81.65 | odd | 54 | inner | 162.3.h.a.65.15 | yes | 324 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
162.3.h.a.5.15 | ✓ | 324 | 1.1 | even | 1 | trivial | |
162.3.h.a.65.15 | yes | 324 | 81.65 | odd | 54 | inner |