Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,2,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), 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: | \(0.343356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 31.3 | ||
Character | \(\chi\) | \(=\) | 43.31 |
Dual form | 43.2.g.a.25.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{17}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.94880 | − | 0.938491i | 1.37801 | − | 0.663613i | 0.409434 | − | 0.912340i | \(-0.365726\pi\) |
0.968574 | + | 0.248726i | \(0.0800120\pi\) | |||||||
\(3\) | −2.41097 | + | 1.64377i | −1.39197 | + | 0.949031i | −0.392400 | + | 0.919795i | \(0.628355\pi\) |
−0.999573 | + | 0.0292358i | \(0.990693\pi\) | |||||||
\(4\) | 1.67006 | − | 2.09419i | 0.835032 | − | 1.04710i | ||||
\(5\) | −2.00127 | − | 1.85691i | −0.894996 | − | 0.830435i | 0.0912316 | − | 0.995830i | \(-0.470920\pi\) |
−0.986227 | + | 0.165395i | \(0.947110\pi\) | |||||||
\(6\) | −3.15582 | + | 5.46604i | −1.28836 | + | 2.23150i | ||||
\(7\) | 1.01083 | + | 1.75082i | 0.382060 | + | 0.661747i | 0.991357 | − | 0.131195i | \(-0.0418815\pi\) |
−0.609297 | + | 0.792942i | \(0.708548\pi\) | |||||||
\(8\) | 0.326607 | − | 1.43096i | 0.115473 | − | 0.505921i | ||||
\(9\) | 2.01476 | − | 5.13352i | 0.671587 | − | 1.71117i | ||||
\(10\) | −5.64276 | − | 1.74056i | −1.78440 | − | 0.550414i | ||||
\(11\) | −0.515533 | − | 0.646459i | −0.155439 | − | 0.194915i | 0.698014 | − | 0.716084i | \(-0.254067\pi\) |
−0.853453 | + | 0.521170i | \(0.825496\pi\) | |||||||
\(12\) | −0.584097 | + | 7.79423i | −0.168614 | + | 2.25000i | ||||
\(13\) | 3.02110 | − | 0.931885i | 0.837901 | − | 0.258458i | 0.154035 | − | 0.988065i | \(-0.450773\pi\) |
0.683867 | + | 0.729607i | \(0.260297\pi\) | |||||||
\(14\) | 3.61304 | + | 2.46333i | 0.965625 | + | 0.658352i | ||||
\(15\) | 7.87733 | + | 1.18732i | 2.03392 | + | 0.306564i | ||||
\(16\) | 0.485626 | + | 2.12767i | 0.121407 | + | 0.531917i | ||||
\(17\) | −2.50278 | + | 2.32224i | −0.607013 | + | 0.563226i | −0.922642 | − | 0.385657i | \(-0.873975\pi\) |
0.315629 | + | 0.948883i | \(0.397784\pi\) | |||||||
\(18\) | −0.891409 | − | 11.8950i | −0.210107 | − | 2.80369i | ||||
\(19\) | −1.08222 | − | 2.75745i | −0.248278 | − | 0.632603i | 0.751349 | − | 0.659905i | \(-0.229403\pi\) |
−0.999627 | + | 0.0273025i | \(0.991308\pi\) | |||||||
\(20\) | −7.23098 | + | 1.08990i | −1.61690 | + | 0.243708i | ||||
\(21\) | −5.31503 | − | 2.55958i | −1.15983 | − | 0.558547i | ||||
\(22\) | −1.61137 | − | 0.775993i | −0.343544 | − | 0.165442i | ||||
\(23\) | 1.21045 | − | 0.182446i | 0.252396 | − | 0.0380426i | −0.0216253 | − | 0.999766i | \(-0.506884\pi\) |
0.274022 | + | 0.961724i | \(0.411646\pi\) | |||||||
\(24\) | 1.56473 | + | 3.98686i | 0.319399 | + | 0.813815i | ||||
\(25\) | 0.183328 | + | 2.44634i | 0.0366655 | + | 0.489268i | ||||
\(26\) | 5.01294 | − | 4.65133i | 0.983118 | − | 0.912200i | ||||
\(27\) | 1.63286 | + | 7.15403i | 0.314244 | + | 1.37679i | ||||
\(28\) | 5.35471 | + | 0.807093i | 1.01195 | + | 0.152526i | ||||
\(29\) | −7.00539 | − | 4.77619i | −1.30087 | − | 0.886916i | −0.303052 | − | 0.952974i | \(-0.598005\pi\) |
−0.997816 | + | 0.0660577i | \(0.978958\pi\) | |||||||
\(30\) | 16.4656 | − | 5.07896i | 3.00619 | − | 0.927288i | ||||
\(31\) | −0.399005 | + | 5.32435i | −0.0716634 | + | 0.956281i | 0.839267 | + | 0.543720i | \(0.182985\pi\) |
−0.910930 | + | 0.412561i | \(0.864634\pi\) | |||||||
\(32\) | 4.77345 | + | 5.98572i | 0.843835 | + | 1.05814i | ||||
\(33\) | 2.30556 | + | 0.711172i | 0.401347 | + | 0.123799i | ||||
\(34\) | −2.69801 | + | 6.87441i | −0.462704 | + | 1.17895i | ||||
\(35\) | 1.22815 | − | 5.38089i | 0.207596 | − | 0.909536i | ||||
\(36\) | −7.38582 | − | 12.7926i | −1.23097 | − | 2.13210i | ||||
\(37\) | −1.73217 | + | 3.00021i | −0.284768 | + | 0.493232i | −0.972553 | − | 0.232682i | \(-0.925250\pi\) |
0.687785 | + | 0.725914i | \(0.258583\pi\) | |||||||
\(38\) | −4.69687 | − | 4.35806i | −0.761933 | − | 0.706970i | ||||
\(39\) | −5.75196 | + | 7.21273i | −0.921051 | + | 1.15496i | ||||
\(40\) | −3.31079 | + | 2.25726i | −0.523482 | + | 0.356904i | ||||
\(41\) | 6.20561 | − | 2.98847i | 0.969154 | − | 0.466720i | 0.118793 | − | 0.992919i | \(-0.462098\pi\) |
0.850361 | + | 0.526199i | \(0.176383\pi\) | |||||||
\(42\) | −12.7601 | −1.96892 | ||||||||
\(43\) | −3.02108 | + | 5.82006i | −0.460710 | + | 0.887551i | ||||
\(44\) | −2.21478 | −0.333891 | ||||||||
\(45\) | −13.5646 | + | 6.53235i | −2.02209 | + | 0.973785i | ||||
\(46\) | 2.18770 | − | 1.49155i | 0.322558 | − | 0.219917i | ||||
\(47\) | 2.33951 | − | 2.93365i | 0.341252 | − | 0.427917i | −0.581359 | − | 0.813647i | \(-0.697479\pi\) |
0.922612 | + | 0.385730i | \(0.126050\pi\) | |||||||
\(48\) | −4.66822 | − | 4.33148i | −0.673800 | − | 0.625195i | ||||
\(49\) | 1.45643 | − | 2.52260i | 0.208061 | − | 0.360372i | ||||
\(50\) | 2.65314 | + | 4.59537i | 0.375210 | + | 0.649883i | ||||
\(51\) | 2.21689 | − | 9.71283i | 0.310427 | − | 1.36007i | ||||
\(52\) | 3.09388 | − | 7.88307i | 0.429044 | − | 1.09319i | ||||
\(53\) | 8.47611 | + | 2.61454i | 1.16428 | + | 0.359134i | 0.815886 | − | 0.578213i | \(-0.196250\pi\) |
0.348398 | + | 0.937347i | \(0.386726\pi\) | |||||||
\(54\) | 9.89611 | + | 12.4093i | 1.34669 | + | 1.68870i | ||||
\(55\) | −0.168692 | + | 2.25104i | −0.0227464 | + | 0.303530i | ||||
\(56\) | 2.83550 | − | 0.874635i | 0.378909 | − | 0.116878i | ||||
\(57\) | 7.14181 | + | 4.86920i | 0.945956 | + | 0.644942i | ||||
\(58\) | −18.1345 | − | 2.73333i | −2.38117 | − | 0.358904i | ||||
\(59\) | −0.633519 | − | 2.77563i | −0.0824772 | − | 0.361356i | 0.916801 | − | 0.399344i | \(-0.130762\pi\) |
−0.999278 | + | 0.0379881i | \(0.987905\pi\) | |||||||
\(60\) | 15.6421 | − | 14.5138i | 2.01939 | − | 1.87372i | ||||
\(61\) | 0.573465 | + | 7.65235i | 0.0734246 | + | 0.979783i | 0.905287 | + | 0.424801i | \(0.139656\pi\) |
−0.831862 | + | 0.554982i | \(0.812725\pi\) | |||||||
\(62\) | 4.21927 | + | 10.7505i | 0.535848 | + | 1.36532i | ||||
\(63\) | 11.0245 | − | 1.66167i | 1.38895 | − | 0.209351i | ||||
\(64\) | 10.9875 | + | 5.29131i | 1.37344 | + | 0.661413i | ||||
\(65\) | −7.77646 | − | 3.74495i | −0.964551 | − | 0.464503i | ||||
\(66\) | 5.16050 | − | 0.777821i | 0.635214 | − | 0.0957431i | ||||
\(67\) | −3.76698 | − | 9.59812i | −0.460210 | − | 1.17260i | −0.953141 | − | 0.302528i | \(-0.902169\pi\) |
0.492930 | − | 0.870069i | \(-0.335926\pi\) | |||||||
\(68\) | 0.683419 | + | 9.11959i | 0.0828767 | + | 1.10591i | ||||
\(69\) | −2.61846 | + | 2.42957i | −0.315225 | + | 0.292486i | ||||
\(70\) | −2.65650 | − | 11.6389i | −0.317512 | − | 1.39111i | ||||
\(71\) | −11.9877 | − | 1.80685i | −1.42268 | − | 0.214434i | −0.607811 | − | 0.794082i | \(-0.707952\pi\) |
−0.814867 | + | 0.579648i | \(0.803190\pi\) | |||||||
\(72\) | −6.68783 | − | 4.55969i | −0.788169 | − | 0.537364i | ||||
\(73\) | 11.9045 | − | 3.67204i | 1.39331 | − | 0.429779i | 0.494906 | − | 0.868947i | \(-0.335203\pi\) |
0.898405 | + | 0.439167i | \(0.144726\pi\) | |||||||
\(74\) | −0.559982 | + | 7.47244i | −0.0650966 | + | 0.868654i | ||||
\(75\) | −4.46321 | − | 5.59669i | −0.515367 | − | 0.646250i | ||||
\(76\) | −7.58201 | − | 2.33874i | −0.869717 | − | 0.268272i | ||||
\(77\) | 0.610712 | − | 1.55607i | 0.0695971 | − | 0.177330i | ||||
\(78\) | −4.44032 | + | 19.4543i | −0.502767 | + | 2.20277i | ||||
\(79\) | −2.34287 | − | 4.05797i | −0.263593 | − | 0.456557i | 0.703601 | − | 0.710596i | \(-0.251574\pi\) |
−0.967194 | + | 0.254038i | \(0.918241\pi\) | |||||||
\(80\) | 2.97901 | − | 5.15980i | 0.333064 | − | 0.576884i | ||||
\(81\) | −3.56858 | − | 3.31116i | −0.396509 | − | 0.367907i | ||||
\(82\) | 9.28883 | − | 11.6478i | 1.02578 | − | 1.28629i | ||||
\(83\) | −3.94401 | + | 2.68898i | −0.432912 | + | 0.295154i | −0.760101 | − | 0.649805i | \(-0.774851\pi\) |
0.327190 | + | 0.944959i | \(0.393898\pi\) | |||||||
\(84\) | −14.2367 | + | 6.85604i | −1.55335 | + | 0.748055i | ||||
\(85\) | 9.32092 | 1.01100 | ||||||||
\(86\) | −0.425398 | + | 14.1774i | −0.0458719 | + | 1.52878i | ||||
\(87\) | 24.7407 | 2.65248 | ||||||||
\(88\) | −1.09343 | + | 0.526570i | −0.116560 | + | 0.0561325i | ||||
\(89\) | −1.70700 | + | 1.16382i | −0.180942 | + | 0.123364i | −0.650404 | − | 0.759589i | \(-0.725400\pi\) |
0.469462 | + | 0.882953i | \(0.344448\pi\) | |||||||
\(90\) | −20.3040 | + | 25.4605i | −2.14023 | + | 2.68377i | ||||
\(91\) | 4.68539 | + | 4.34741i | 0.491162 | + | 0.455732i | ||||
\(92\) | 1.63945 | − | 2.83962i | 0.170925 | − | 0.296050i | ||||
\(93\) | −7.79001 | − | 13.4927i | −0.807787 | − | 1.39913i | ||||
\(94\) | 1.80602 | − | 7.91270i | 0.186277 | − | 0.816132i | ||||
\(95\) | −2.95452 | + | 7.52799i | −0.303127 | + | 0.772355i | ||||
\(96\) | −21.3478 | − | 6.58491i | −2.17880 | − | 0.672070i | ||||
\(97\) | −7.51296 | − | 9.42095i | −0.762825 | − | 0.956552i | 0.237063 | − | 0.971494i | \(-0.423815\pi\) |
−0.999888 | + | 0.0149418i | \(0.995244\pi\) | |||||||
\(98\) | 0.470837 | − | 6.28288i | 0.0475617 | − | 0.634667i | ||||
\(99\) | −4.35729 | + | 1.34404i | −0.437924 | + | 0.135082i | ||||
\(100\) | 5.42928 | + | 3.70162i | 0.542928 | + | 0.370162i | ||||
\(101\) | −2.52020 | − | 0.379859i | −0.250769 | − | 0.0377974i | 0.0224547 | − | 0.999748i | \(-0.492852\pi\) |
−0.273224 | + | 0.961951i | \(0.588090\pi\) | |||||||
\(102\) | −4.79514 | − | 21.0089i | −0.474789 | − | 2.08019i | ||||
\(103\) | −5.76522 | + | 5.34934i | −0.568064 | + | 0.527086i | −0.911073 | − | 0.412246i | \(-0.864744\pi\) |
0.343009 | + | 0.939332i | \(0.388554\pi\) | |||||||
\(104\) | −0.346778 | − | 4.62743i | −0.0340044 | − | 0.453757i | ||||
\(105\) | 5.88391 | + | 14.9919i | 0.574210 | + | 1.46306i | ||||
\(106\) | 18.9719 | − | 2.85956i | 1.84272 | − | 0.277745i | ||||
\(107\) | 7.55616 | + | 3.63886i | 0.730482 | + | 0.351782i | 0.761874 | − | 0.647726i | \(-0.224280\pi\) |
−0.0313918 | + | 0.999507i | \(0.509994\pi\) | |||||||
\(108\) | 17.7089 | + | 8.52816i | 1.70404 | + | 0.820623i | ||||
\(109\) | 5.60910 | − | 0.845435i | 0.537254 | − | 0.0809780i | 0.125190 | − | 0.992133i | \(-0.460046\pi\) |
0.412064 | + | 0.911155i | \(0.364808\pi\) | |||||||
\(110\) | 1.78383 | + | 4.54513i | 0.170082 | + | 0.433361i | ||||
\(111\) | −0.755445 | − | 10.0807i | −0.0717037 | − | 0.956819i | ||||
\(112\) | −3.23427 | + | 3.00096i | −0.305610 | + | 0.283564i | ||||
\(113\) | 3.99341 | + | 17.4963i | 0.375669 | + | 1.64591i | 0.710546 | + | 0.703651i | \(0.248448\pi\) |
−0.334877 | + | 0.942262i | \(0.608695\pi\) | |||||||
\(114\) | 18.4876 | + | 2.78656i | 1.73153 | + | 0.260986i | ||||
\(115\) | −2.76123 | − | 1.88257i | −0.257486 | − | 0.175551i | ||||
\(116\) | −21.7017 | + | 6.69409i | −2.01495 | + | 0.621531i | ||||
\(117\) | 1.30293 | − | 17.3864i | 0.120456 | − | 1.60737i | ||||
\(118\) | −3.83951 | − | 4.81459i | −0.353455 | − | 0.443219i | ||||
\(119\) | −6.59571 | − | 2.03451i | −0.604628 | − | 0.186503i | ||||
\(120\) | 4.27180 | − | 10.8844i | 0.389960 | − | 0.993601i | ||||
\(121\) | 2.29560 | − | 10.0577i | 0.208691 | − | 0.914333i | ||||
\(122\) | 8.29923 | + | 14.3747i | 0.751377 | + | 1.30142i | ||||
\(123\) | −10.0492 | + | 17.4057i | −0.906104 | + | 1.56942i | ||||
\(124\) | 10.4839 | + | 9.72760i | 0.941478 | + | 0.873564i | ||||
\(125\) | −4.33507 | + | 5.43600i | −0.387740 | + | 0.486211i | ||||
\(126\) | 19.9250 | − | 13.5846i | 1.77506 | − | 1.21021i | ||||
\(127\) | −17.6508 | + | 8.50017i | −1.56625 | + | 0.754268i | −0.997661 | − | 0.0683509i | \(-0.978226\pi\) |
−0.568593 | + | 0.822619i | \(0.692512\pi\) | |||||||
\(128\) | 11.0662 | 0.978126 | ||||||||
\(129\) | −2.28311 | − | 18.9979i | −0.201017 | − | 1.67267i | ||||
\(130\) | −18.6693 | −1.63741 | ||||||||
\(131\) | 10.9256 | − | 5.26150i | 0.954576 | − | 0.459700i | 0.109288 | − | 0.994010i | \(-0.465143\pi\) |
0.845288 | + | 0.534310i | \(0.179429\pi\) | |||||||
\(132\) | 5.33977 | − | 3.64059i | 0.464767 | − | 0.316873i | ||||
\(133\) | 3.73385 | − | 4.68210i | 0.323766 | − | 0.405989i | ||||
\(134\) | −16.3488 | − | 15.1695i | −1.41232 | − | 1.31045i | ||||
\(135\) | 10.0166 | − | 17.3492i | 0.862090 | − | 1.49318i | ||||
\(136\) | 2.50561 | + | 4.33984i | 0.214854 | + | 0.372138i | ||||
\(137\) | −1.32721 | + | 5.81487i | −0.113391 | + | 0.496798i | 0.886057 | + | 0.463576i | \(0.153434\pi\) |
−0.999448 | + | 0.0332220i | \(0.989423\pi\) | |||||||
\(138\) | −2.82271 | + | 7.19214i | −0.240285 | + | 0.612236i | ||||
\(139\) | 2.97091 | + | 0.916404i | 0.251989 | + | 0.0777284i | 0.418176 | − | 0.908366i | \(-0.362669\pi\) |
−0.166187 | + | 0.986094i | \(0.553146\pi\) | |||||||
\(140\) | −9.21754 | − | 11.5584i | −0.779024 | − | 0.976865i | ||||
\(141\) | −0.818232 | + | 10.9185i | −0.0689075 | + | 0.919507i | ||||
\(142\) | −25.0573 | + | 7.72916i | −2.10276 | + | 0.648616i | ||||
\(143\) | −2.15990 | − | 1.47260i | −0.180620 | − | 0.123145i | ||||
\(144\) | 11.9009 | + | 1.79376i | 0.991738 | + | 0.149480i | ||||
\(145\) | 5.15073 | + | 22.5668i | 0.427745 | + | 1.87407i | ||||
\(146\) | 19.7532 | − | 18.3283i | 1.63479 | − | 1.51686i | ||||
\(147\) | 0.635184 | + | 8.47594i | 0.0523891 | + | 0.699084i | ||||
\(148\) | 3.39019 | + | 8.63806i | 0.278672 | + | 0.710045i | ||||
\(149\) | 1.59287 | − | 0.240086i | 0.130493 | − | 0.0196686i | −0.0834711 | − | 0.996510i | \(-0.526601\pi\) |
0.213964 | + | 0.976842i | \(0.431363\pi\) | |||||||
\(150\) | −13.9503 | − | 6.71813i | −1.13904 | − | 0.548533i | ||||
\(151\) | 3.99279 | + | 1.92283i | 0.324929 | + | 0.156477i | 0.589236 | − | 0.807961i | \(-0.299429\pi\) |
−0.264307 | + | 0.964439i | \(0.585143\pi\) | |||||||
\(152\) | −4.29926 | + | 0.648010i | −0.348716 | + | 0.0525605i | ||||
\(153\) | 6.87877 | + | 17.5268i | 0.556116 | + | 1.41696i | ||||
\(154\) | −0.270203 | − | 3.60561i | −0.0217736 | − | 0.290548i | ||||
\(155\) | 10.6853 | − | 9.91455i | 0.858267 | − | 0.796356i | ||||
\(156\) | 5.49872 | + | 24.0914i | 0.440250 | + | 1.92886i | ||||
\(157\) | −3.60721 | − | 0.543700i | −0.287887 | − | 0.0433920i | 0.00351117 | − | 0.999994i | \(-0.498882\pi\) |
−0.291398 | + | 0.956602i | \(0.594120\pi\) | |||||||
\(158\) | −8.37415 | − | 5.70940i | −0.666211 | − | 0.454215i | ||||
\(159\) | −24.7333 | + | 7.62922i | −1.96148 | + | 0.605036i | ||||
\(160\) | 1.56196 | − | 20.8429i | 0.123484 | − | 1.64778i | ||||
\(161\) | 1.54300 | + | 1.93485i | 0.121605 | + | 0.152488i | ||||
\(162\) | −10.0619 | − | 3.10370i | −0.790540 | − | 0.243849i | ||||
\(163\) | 2.81502 | − | 7.17257i | 0.220490 | − | 0.561799i | −0.777236 | − | 0.629210i | \(-0.783379\pi\) |
0.997725 | + | 0.0674110i | \(0.0214739\pi\) | |||||||
\(164\) | 4.10535 | − | 17.9867i | 0.320574 | − | 1.40452i | ||||
\(165\) | −3.29348 | − | 5.70447i | −0.256397 | − | 0.444092i | ||||
\(166\) | −5.16249 | + | 8.94170i | −0.400687 | + | 0.694011i | ||||
\(167\) | 3.60763 | + | 3.34739i | 0.279167 | + | 0.259029i | 0.807312 | − | 0.590125i | \(-0.200922\pi\) |
−0.528145 | + | 0.849154i | \(0.677112\pi\) | |||||||
\(168\) | −5.39859 | + | 6.76962i | −0.416510 | + | 0.522287i | ||||
\(169\) | −2.48249 | + | 1.69253i | −0.190961 | + | 0.130195i | ||||
\(170\) | 18.1646 | − | 8.74761i | 1.39316 | − | 0.670911i | ||||
\(171\) | −16.3359 | −1.24923 | ||||||||
\(172\) | 7.14294 | + | 16.0466i | 0.544644 | + | 1.22354i | ||||
\(173\) | −21.5624 | −1.63936 | −0.819680 | − | 0.572821i | \(-0.805849\pi\) | ||||
−0.819680 | + | 0.572821i | \(0.805849\pi\) | |||||||
\(174\) | 48.2146 | − | 23.2189i | 3.65514 | − | 1.76022i | ||||
\(175\) | −4.09778 | + | 2.79382i | −0.309763 | + | 0.211193i | ||||
\(176\) | 1.12509 | − | 1.41082i | 0.0848070 | − | 0.106345i | ||||
\(177\) | 6.08989 | + | 5.65059i | 0.457744 | + | 0.424725i | ||||
\(178\) | −2.23437 | + | 3.87005i | −0.167473 | + | 0.290072i | ||||
\(179\) | 8.40248 | + | 14.5535i | 0.628031 | + | 1.08778i | 0.987946 | + | 0.154797i | \(0.0494723\pi\) |
−0.359915 | + | 0.932985i | \(0.617194\pi\) | |||||||
\(180\) | −8.97369 | + | 39.3163i | −0.668859 | + | 2.93046i | ||||
\(181\) | 0.294349 | − | 0.749988i | 0.0218788 | − | 0.0557462i | −0.919517 | − | 0.393050i | \(-0.871420\pi\) |
0.941396 | + | 0.337304i | \(0.109515\pi\) | |||||||
\(182\) | 13.2109 | + | 4.07502i | 0.979255 | + | 0.302060i | ||||
\(183\) | −13.9613 | − | 17.5069i | −1.03205 | − | 1.29415i | ||||
\(184\) | 0.134269 | − | 1.79169i | 0.00989844 | − | 0.132085i | ||||
\(185\) | 9.03768 | − | 2.78775i | 0.664463 | − | 0.204960i | ||||
\(186\) | −27.8439 | − | 18.9837i | −2.04162 | − | 1.39195i | ||||
\(187\) | 2.79150 | + | 0.420750i | 0.204134 | + | 0.0307683i | ||||
\(188\) | −2.23651 | − | 9.79877i | −0.163114 | − | 0.714649i | ||||
\(189\) | −10.8748 | + | 10.0904i | −0.791029 | + | 0.733968i | ||||
\(190\) | 1.30720 | + | 17.4433i | 0.0948339 | + | 1.26547i | ||||
\(191\) | −4.22806 | − | 10.7729i | −0.305931 | − | 0.779500i | −0.998318 | − | 0.0579738i | \(-0.981536\pi\) |
0.692387 | − | 0.721527i | \(-0.256559\pi\) | |||||||
\(192\) | −35.1882 | + | 5.30377i | −2.53949 | + | 0.382766i | ||||
\(193\) | 5.28929 | + | 2.54719i | 0.380732 | + | 0.183351i | 0.614454 | − | 0.788953i | \(-0.289376\pi\) |
−0.233722 | + | 0.972303i | \(0.575091\pi\) | |||||||
\(194\) | −23.4827 | − | 11.3087i | −1.68596 | − | 0.811915i | ||||
\(195\) | 24.9046 | − | 3.75377i | 1.78346 | − | 0.268813i | ||||
\(196\) | −2.85050 | − | 7.26295i | −0.203607 | − | 0.518782i | ||||
\(197\) | 0.412103 | + | 5.49913i | 0.0293611 | + | 0.391797i | 0.992453 | + | 0.122624i | \(0.0391310\pi\) |
−0.963092 | + | 0.269172i | \(0.913250\pi\) | |||||||
\(198\) | −7.23009 | + | 6.70855i | −0.513820 | + | 0.476756i | ||||
\(199\) | −4.37361 | − | 19.1620i | −0.310037 | − | 1.35836i | −0.854446 | − | 0.519540i | \(-0.826103\pi\) |
0.544409 | − | 0.838820i | \(-0.316754\pi\) | |||||||
\(200\) | 3.56049 | + | 0.536657i | 0.251765 | + | 0.0379474i | ||||
\(201\) | 24.8592 | + | 16.9487i | 1.75343 | + | 1.19547i | ||||
\(202\) | −5.26785 | + | 1.62492i | −0.370645 | + | 0.114329i | ||||
\(203\) | 1.28095 | − | 17.0931i | 0.0899051 | − | 1.19970i | ||||
\(204\) | −16.6382 | − | 20.8637i | −1.16491 | − | 1.46075i | ||||
\(205\) | −17.9684 | − | 5.54252i | −1.25497 | − | 0.387107i | ||||
\(206\) | −6.21493 | + | 15.8354i | −0.433015 | + | 1.10330i | ||||
\(207\) | 1.50218 | − | 6.58146i | 0.104408 | − | 0.457443i | ||||
\(208\) | 3.44986 | + | 5.97534i | 0.239205 | + | 0.414315i | ||||
\(209\) | −1.22466 | + | 2.12117i | −0.0847113 | + | 0.146724i | ||||
\(210\) | 25.5363 | + | 23.6943i | 1.76218 | + | 1.63506i | ||||
\(211\) | 10.8591 | − | 13.6169i | 0.747574 | − | 0.937428i | −0.251966 | − | 0.967736i | \(-0.581077\pi\) |
0.999541 | + | 0.0303076i | \(0.00964869\pi\) | |||||||
\(212\) | 19.6310 | − | 13.3842i | 1.34826 | − | 0.919230i | ||||
\(213\) | 31.8720 | − | 15.3487i | 2.18383 | − | 1.05168i | ||||
\(214\) | 18.1405 | 1.24006 | ||||||||
\(215\) | 16.8533 | − | 6.03765i | 1.14939 | − | 0.411764i | ||||
\(216\) | 10.7704 | 0.732835 | ||||||||
\(217\) | −9.72529 | + | 4.68345i | −0.660196 | + | 0.317933i | ||||
\(218\) | 10.1376 | − | 6.91167i | 0.686602 | − | 0.468117i | ||||
\(219\) | −22.6653 | + | 28.4213i | −1.53158 | + | 1.92054i | ||||
\(220\) | 4.43238 | + | 4.11265i | 0.298831 | + | 0.277275i | ||||
\(221\) | −5.39708 | + | 9.34801i | −0.363047 | + | 0.628815i | ||||
\(222\) | −10.9329 | − | 18.9363i | −0.733766 | − | 1.27092i | ||||
\(223\) | 3.36182 | − | 14.7291i | 0.225124 | − | 0.986333i | −0.728432 | − | 0.685118i | \(-0.759751\pi\) |
0.953556 | − | 0.301215i | \(-0.0973922\pi\) | |||||||
\(224\) | −5.65473 | + | 14.4080i | −0.377822 | + | 0.962676i | ||||
\(225\) | 12.9277 | + | 3.98767i | 0.861847 | + | 0.265844i | ||||
\(226\) | 24.2025 | + | 30.3489i | 1.60992 | + | 2.01878i | ||||
\(227\) | −0.937088 | + | 12.5046i | −0.0621967 | + | 0.829957i | 0.875659 | + | 0.482931i | \(0.160428\pi\) |
−0.937855 | + | 0.347027i | \(0.887191\pi\) | |||||||
\(228\) | 22.1243 | − | 6.82445i | 1.46522 | − | 0.451961i | ||||
\(229\) | 16.8194 | + | 11.4673i | 1.11146 | + | 0.757778i | 0.972589 | − | 0.232533i | \(-0.0747012\pi\) |
0.138868 | + | 0.990311i | \(0.455654\pi\) | |||||||
\(230\) | −7.14785 | − | 1.07736i | −0.471315 | − | 0.0710393i | ||||
\(231\) | 1.08541 | + | 4.75550i | 0.0714148 | + | 0.312889i | ||||
\(232\) | −9.12255 | + | 8.46449i | −0.598925 | + | 0.555721i | ||||
\(233\) | −2.20664 | − | 29.4455i | −0.144562 | − | 1.92904i | −0.325491 | − | 0.945545i | \(-0.605530\pi\) |
0.180930 | − | 0.983496i | \(-0.442089\pi\) | |||||||
\(234\) | −13.7778 | − | 35.1053i | −0.900685 | − | 2.29491i | ||||
\(235\) | −10.1295 | + | 1.52678i | −0.660776 | + | 0.0995960i | ||||
\(236\) | −6.87073 | − | 3.30877i | −0.447246 | − | 0.215382i | ||||
\(237\) | 12.3189 | + | 5.93249i | 0.800202 | + | 0.385357i | ||||
\(238\) | −14.7631 | + | 2.22518i | −0.956948 | + | 0.144237i | ||||
\(239\) | −8.80723 | − | 22.4405i | −0.569692 | − | 1.45155i | −0.867748 | − | 0.497004i | \(-0.834433\pi\) |
0.298056 | − | 0.954548i | \(-0.403662\pi\) | |||||||
\(240\) | 1.29922 | + | 17.3369i | 0.0838645 | + | 1.11909i | ||||
\(241\) | 4.34963 | − | 4.03587i | 0.280184 | − | 0.259973i | −0.527544 | − | 0.849528i | \(-0.676887\pi\) |
0.807729 | + | 0.589554i | \(0.200697\pi\) | |||||||
\(242\) | −4.96538 | − | 21.7547i | −0.319187 | − | 1.39845i | ||||
\(243\) | −7.72164 | − | 1.16385i | −0.495343 | − | 0.0746610i | ||||
\(244\) | 16.9832 | + | 11.5790i | 1.08724 | + | 0.741268i | ||||
\(245\) | −7.59894 | + | 2.34396i | −0.485479 | + | 0.149750i | ||||
\(246\) | −3.24872 | + | 43.3512i | −0.207131 | + | 2.76397i | ||||
\(247\) | −5.83912 | − | 7.32202i | −0.371534 | − | 0.465889i | ||||
\(248\) | 7.48861 | + | 2.30993i | 0.475527 | + | 0.146681i | ||||
\(249\) | 5.08882 | − | 12.9661i | 0.322491 | − | 0.821693i | ||||
\(250\) | −3.34653 | + | 14.6621i | −0.211653 | + | 0.927312i | ||||
\(251\) | 7.19242 | + | 12.4576i | 0.453982 | + | 0.786319i | 0.998629 | − | 0.0523460i | \(-0.0166699\pi\) |
−0.544647 | + | 0.838665i | \(0.683337\pi\) | |||||||
\(252\) | 14.9317 | − | 25.8624i | 0.940608 | − | 1.62918i | ||||
\(253\) | −0.741972 | − | 0.688449i | −0.0466473 | − | 0.0432824i | ||||
\(254\) | −26.4205 | + | 33.1302i | −1.65777 | + | 2.07877i | ||||
\(255\) | −22.4724 | + | 15.3214i | −1.40728 | + | 0.959466i | ||||
\(256\) | −0.409185 | + | 0.197053i | −0.0255740 | + | 0.0123158i | ||||
\(257\) | −18.1706 | −1.13345 | −0.566724 | − | 0.823908i | \(-0.691789\pi\) | ||||
−0.566724 | + | 0.823908i | \(0.691789\pi\) | |||||||
\(258\) | −22.2787 | − | 34.8804i | −1.38701 | − | 2.17156i | ||||
\(259\) | −7.00377 | −0.435193 | ||||||||
\(260\) | −20.8298 | + | 10.0311i | −1.29181 | + | 0.622104i | ||||
\(261\) | −38.6329 | + | 26.3394i | −2.39131 | + | 1.63037i | ||||
\(262\) | 16.3540 | − | 20.5072i | 1.01035 | − | 1.26694i | ||||
\(263\) | 11.6213 | + | 10.7830i | 0.716598 | + | 0.664906i | 0.951688 | − | 0.307068i | \(-0.0993478\pi\) |
−0.235089 | + | 0.971974i | \(0.575538\pi\) | |||||||
\(264\) | 1.77067 | − | 3.06689i | 0.108977 | − | 0.188754i | ||||
\(265\) | −12.1081 | − | 20.9718i | −0.743792 | − | 1.28829i | ||||
\(266\) | 2.88240 | − | 12.6286i | 0.176732 | − | 0.774311i | ||||
\(267\) | 2.20249 | − | 5.61184i | 0.134790 | − | 0.343439i | ||||
\(268\) | −26.3914 | − | 8.14068i | −1.61211 | − | 0.497271i | ||||
\(269\) | 6.59147 | + | 8.26544i | 0.401889 | + | 0.503953i | 0.941058 | − | 0.338245i | \(-0.109833\pi\) |
−0.539169 | + | 0.842197i | \(0.681262\pi\) | |||||||
\(270\) | 3.23819 | − | 43.2106i | 0.197070 | − | 2.62971i | ||||
\(271\) | −1.69682 | + | 0.523401i | −0.103075 | + | 0.0317943i | −0.345864 | − | 0.938285i | \(-0.612414\pi\) |
0.242789 | + | 0.970079i | \(0.421938\pi\) | |||||||
\(272\) | −6.15637 | − | 4.19734i | −0.373284 | − | 0.254501i | ||||
\(273\) | −18.4425 | − | 2.77975i | −1.11619 | − | 0.168238i | ||||
\(274\) | 2.87075 | + | 12.5776i | 0.173428 | + | 0.759839i | ||||
\(275\) | 1.48694 | − | 1.37968i | 0.0896661 | − | 0.0831980i | ||||
\(276\) | 0.715007 | + | 9.54110i | 0.0430383 | + | 0.574307i | ||||
\(277\) | 0.682551 | + | 1.73911i | 0.0410105 | + | 0.104493i | 0.949912 | − | 0.312519i | \(-0.101173\pi\) |
−0.908901 | + | 0.417012i | \(0.863077\pi\) | |||||||
\(278\) | 6.64974 | − | 1.00229i | 0.398825 | − | 0.0601132i | ||||
\(279\) | 26.5288 | + | 12.7756i | 1.58824 | + | 0.764854i | ||||
\(280\) | −7.29872 | − | 3.51488i | −0.436182 | − | 0.210054i | ||||
\(281\) | 5.38800 | − | 0.812110i | 0.321421 | − | 0.0484464i | 0.0136498 | − | 0.999907i | \(-0.495655\pi\) |
0.307771 | + | 0.951460i | \(0.400417\pi\) | |||||||
\(282\) | 8.65239 | + | 22.0459i | 0.515242 | + | 1.31282i | ||||
\(283\) | 0.707816 | + | 9.44514i | 0.0420753 | + | 0.561456i | 0.977911 | + | 0.209020i | \(0.0670274\pi\) |
−0.935836 | + | 0.352436i | \(0.885354\pi\) | |||||||
\(284\) | −23.8041 | + | 22.0870i | −1.41252 | + | 1.31062i | ||||
\(285\) | −5.25103 | − | 23.0063i | −0.311044 | − | 1.36277i | ||||
\(286\) | −5.59123 | − | 0.842742i | −0.330616 | − | 0.0498324i | ||||
\(287\) | 11.5051 | + | 7.84405i | 0.679125 | + | 0.463020i | ||||
\(288\) | 40.3452 | − | 12.4448i | 2.37736 | − | 0.733319i | ||||
\(289\) | −0.399306 | + | 5.32837i | −0.0234886 | + | 0.313433i | ||||
\(290\) | 31.2165 | + | 39.1442i | 1.83310 | + | 2.29863i | ||||
\(291\) | 33.5994 | + | 10.3640i | 1.96963 | + | 0.607550i | ||||
\(292\) | 12.1912 | − | 31.0628i | 0.713439 | − | 1.81781i | ||||
\(293\) | −2.12778 | + | 9.32241i | −0.124306 | + | 0.544621i | 0.873973 | + | 0.485975i | \(0.161535\pi\) |
−0.998279 | + | 0.0586458i | \(0.981322\pi\) | |||||||
\(294\) | 9.19244 | + | 15.9218i | 0.536114 | + | 0.928576i | ||||
\(295\) | −3.88625 | + | 6.73118i | −0.226266 | + | 0.391904i | ||||
\(296\) | 3.72745 | + | 3.45857i | 0.216653 | + | 0.201025i | ||||
\(297\) | 3.78299 | − | 4.74372i | 0.219511 | − | 0.275258i | ||||
\(298\) | 2.87886 | − | 1.96277i | 0.166768 | − | 0.113700i | ||||
\(299\) | 3.48687 | − | 1.67919i | 0.201651 | − | 0.0971099i | ||||
\(300\) | −19.1744 | −1.10704 | ||||||||
\(301\) | −13.2437 | + | 0.593759i | −0.763353 | + | 0.0342237i | ||||
\(302\) | 9.58569 | 0.551594 | ||||||||
\(303\) | 6.70051 | − | 3.22680i | 0.384934 | − | 0.185375i | ||||
\(304\) | 5.34138 | − | 3.64169i | 0.306349 | − | 0.208865i | ||||
\(305\) | 13.0621 | − | 16.3793i | 0.747931 | − | 0.937876i | ||||
\(306\) | 29.8541 | + | 27.7006i | 1.70665 | + | 1.58354i | ||||
\(307\) | 8.96235 | − | 15.5232i | 0.511508 | − | 0.885959i | −0.488403 | − | 0.872618i | \(-0.662420\pi\) |
0.999911 | − | 0.0133402i | \(-0.00424644\pi\) | |||||||
\(308\) | −2.23878 | − | 3.87768i | −0.127566 | − | 0.220952i | ||||
\(309\) | 5.10667 | − | 22.3738i | 0.290508 | − | 1.27280i | ||||
\(310\) | 11.5188 | − | 29.3495i | 0.654227 | − | 1.66694i | ||||
\(311\) | 11.9150 | + | 3.67529i | 0.675638 | + | 0.208407i | 0.613540 | − | 0.789663i | \(-0.289745\pi\) |
0.0620976 | + | 0.998070i | \(0.480221\pi\) | |||||||
\(312\) | 8.44250 | + | 10.5866i | 0.477962 | + | 0.599346i | ||||
\(313\) | 1.95694 | − | 26.1136i | 0.110613 | − | 1.47603i | −0.615328 | − | 0.788271i | \(-0.710976\pi\) |
0.725941 | − | 0.687757i | \(-0.241405\pi\) | |||||||
\(314\) | −7.53999 | + | 2.32578i | −0.425506 | + | 0.131251i | ||||
\(315\) | −25.1485 | − | 17.1460i | −1.41696 | − | 0.966065i | ||||
\(316\) | −12.4109 | − | 1.87065i | −0.698169 | − | 0.105232i | ||||
\(317\) | −2.01390 | − | 8.82346i | −0.113112 | − | 0.495575i | −0.999469 | − | 0.0325735i | \(-0.989630\pi\) |
0.886358 | − | 0.463001i | \(-0.153227\pi\) | |||||||
\(318\) | −41.0403 | + | 38.0798i | −2.30142 | + | 2.13541i | ||||
\(319\) | 0.523901 | + | 6.99098i | 0.0293328 | + | 0.391420i | ||||
\(320\) | −12.1635 | − | 30.9921i | −0.679961 | − | 1.73251i | ||||
\(321\) | −24.1991 | + | 3.64743i | −1.35066 | + | 0.203580i | ||||
\(322\) | 4.82283 | + | 2.32255i | 0.268766 | + | 0.129431i | ||||
\(323\) | 9.11201 | + | 4.38811i | 0.507006 | + | 0.244161i | ||||
\(324\) | −12.8940 | + | 1.94345i | −0.716332 | + | 0.107970i | ||||
\(325\) | 2.83356 | + | 7.21978i | 0.157177 | + | 0.400482i | ||||
\(326\) | −1.24548 | − | 16.6198i | −0.0689807 | − | 0.920483i | ||||
\(327\) | −12.1336 | + | 11.2584i | −0.670992 | + | 0.622590i | ||||
\(328\) | −2.24958 | − | 9.85604i | −0.124212 | − | 0.544209i | ||||
\(329\) | 7.50114 | + | 1.13062i | 0.413551 | + | 0.0623328i | ||||
\(330\) | −11.7719 | − | 8.02595i | −0.648022 | − | 0.441814i | ||||
\(331\) | −3.33977 | + | 1.03018i | −0.183571 | + | 0.0566240i | −0.385178 | − | 0.922842i | \(-0.625860\pi\) |
0.201607 | + | 0.979466i | \(0.435384\pi\) | |||||||
\(332\) | −0.955503 | + | 12.7503i | −0.0524400 | + | 0.699764i | ||||
\(333\) | 11.9118 | + | 14.9369i | 0.652760 | + | 0.818536i | ||||
\(334\) | 10.1720 | + | 3.13766i | 0.556589 | + | 0.171685i | ||||
\(335\) | −10.2841 | + | 26.2034i | −0.561879 | + | 1.43164i | ||||
\(336\) | 2.86482 | − | 12.5516i | 0.156289 | − | 0.684747i | ||||
\(337\) | −2.60035 | − | 4.50393i | −0.141650 | − | 0.245345i | 0.786468 | − | 0.617631i | \(-0.211907\pi\) |
−0.928118 | + | 0.372286i | \(0.878574\pi\) | |||||||
\(338\) | −3.24944 | + | 5.62820i | −0.176746 | + | 0.306134i | ||||
\(339\) | −38.3879 | − | 35.6187i | −2.08494 | − | 1.93454i | ||||
\(340\) | 15.5665 | − | 19.5198i | 0.844214 | − | 1.05861i | ||||
\(341\) | 3.64767 | − | 2.48694i | 0.197532 | − | 0.134675i | ||||
\(342\) | −31.8353 | + | 15.3311i | −1.72145 | + | 0.829008i | ||||
\(343\) | 20.0405 | 1.08209 | ||||||||
\(344\) | 7.34156 | + | 6.22392i | 0.395831 | + | 0.335571i | ||||
\(345\) | 9.75174 | 0.525016 | ||||||||
\(346\) | −42.0208 | + | 20.2361i | −2.25905 | + | 1.08790i | ||||
\(347\) | 6.33995 | − | 4.32251i | 0.340346 | − | 0.232044i | −0.381069 | − | 0.924546i | \(-0.624444\pi\) |
0.721416 | + | 0.692502i | \(0.243492\pi\) | |||||||
\(348\) | 41.3186 | − | 51.8119i | 2.21491 | − | 2.77741i | ||||
\(349\) | 19.3740 | + | 17.9765i | 1.03707 | + | 0.962257i | 0.999314 | − | 0.0370298i | \(-0.0117896\pi\) |
0.0377526 | + | 0.999287i | \(0.487980\pi\) | |||||||
\(350\) | −5.36376 | + | 9.29031i | −0.286705 | + | 0.496588i | ||||
\(351\) | 11.5998 | + | 20.0914i | 0.619150 | + | 1.07240i | ||||
\(352\) | 1.40864 | − | 6.17168i | 0.0750810 | − | 0.328951i | ||||
\(353\) | −3.64148 | + | 9.27834i | −0.193817 | + | 0.493836i | −0.994437 | − | 0.105336i | \(-0.966408\pi\) |
0.800620 | + | 0.599172i | \(0.204504\pi\) | |||||||
\(354\) | 17.1710 | + | 5.29655i | 0.912628 | + | 0.281508i | ||||
\(355\) | 20.6355 | + | 25.8761i | 1.09522 | + | 1.37336i | ||||
\(356\) | −0.413550 | + | 5.51845i | −0.0219181 | + | 0.292477i | ||||
\(357\) | 19.2463 | − | 5.93670i | 1.01862 | − | 0.314203i | ||||
\(358\) | 30.0331 | + | 20.4762i | 1.58730 | + | 1.08220i | ||||
\(359\) | 1.39816 | + | 0.210739i | 0.0737921 | + | 0.0111224i | 0.185835 | − | 0.982581i | \(-0.440501\pi\) |
−0.112042 | + | 0.993703i | \(0.535739\pi\) | |||||||
\(360\) | 4.91725 | + | 21.5439i | 0.259162 | + | 1.13546i | ||||
\(361\) | 7.49565 | − | 6.95495i | 0.394508 | − | 0.366050i | ||||
\(362\) | −0.130232 | − | 1.73782i | −0.00684482 | − | 0.0913377i | ||||
\(363\) | 10.9979 | + | 28.0221i | 0.577239 | + | 1.47078i | ||||
\(364\) | 16.9292 | − | 2.55167i | 0.887332 | − | 0.133744i | ||||
\(365\) | −30.6427 | − | 14.7567i | −1.60391 | − | 0.772403i | ||||
\(366\) | −43.6378 | − | 21.0149i | −2.28099 | − | 1.09847i | ||||
\(367\) | −28.0262 | + | 4.22427i | −1.46295 | + | 0.220505i | −0.831767 | − | 0.555125i | \(-0.812670\pi\) |
−0.631188 | + | 0.775630i | \(0.717432\pi\) | |||||||
\(368\) | 0.976011 | + | 2.48683i | 0.0508781 | + | 0.129635i | ||||
\(369\) | −2.83854 | − | 37.8777i | −0.147769 | − | 1.97183i | ||||
\(370\) | 14.9963 | − | 13.9145i | 0.779621 | − | 0.723383i | ||||
\(371\) | 3.99038 | + | 17.4830i | 0.207170 | + | 0.907672i | ||||
\(372\) | −41.2662 | − | 6.21987i | −2.13955 | − | 0.322485i | ||||
\(373\) | −19.4695 | − | 13.2741i | −1.00809 | − | 0.687304i | −0.0576903 | − | 0.998335i | \(-0.518374\pi\) |
−0.950400 | + | 0.311030i | \(0.899326\pi\) | |||||||
\(374\) | 5.83493 | − | 1.79984i | 0.301717 | − | 0.0930674i | ||||
\(375\) | 1.51617 | − | 20.2319i | 0.0782946 | − | 1.04477i | ||||
\(376\) | −3.43384 | − | 4.30589i | −0.177087 | − | 0.222060i | ||||
\(377\) | −25.6148 | − | 7.90112i | −1.31923 | − | 0.406928i | ||||
\(378\) | −11.7231 | + | 29.8701i | −0.602973 | + | 1.53635i | ||||
\(379\) | 0.506526 | − | 2.21924i | 0.0260185 | − | 0.113995i | −0.960251 | − | 0.279138i | \(-0.909951\pi\) |
0.986270 | + | 0.165143i | \(0.0528086\pi\) | |||||||
\(380\) | 10.8308 | + | 18.7596i | 0.555610 | + | 0.962345i | ||||
\(381\) | 28.5831 | − | 49.5075i | 1.46436 | − | 2.53634i | ||||
\(382\) | −18.3499 | − | 17.0262i | −0.938863 | − | 0.871137i | ||||
\(383\) | −12.2178 | + | 15.3206i | −0.624299 | + | 0.782846i | −0.988942 | − | 0.148301i | \(-0.952620\pi\) |
0.364643 | + | 0.931147i | \(0.381191\pi\) | |||||||
\(384\) | −26.6803 | + | 18.1903i | −1.36152 | + | 0.928271i | ||||
\(385\) | −4.11168 | + | 1.98008i | −0.209550 | + | 0.100914i | ||||
\(386\) | 12.6983 | 0.646325 | ||||||||
\(387\) | 23.7907 | + | 27.2348i | 1.20935 | + | 1.38442i | ||||
\(388\) | −32.2764 | −1.63859 | ||||||||
\(389\) | −0.649494 | + | 0.312780i | −0.0329306 | + | 0.0158586i | −0.450277 | − | 0.892889i | \(-0.648675\pi\) |
0.417346 | + | 0.908748i | \(0.362960\pi\) | |||||||
\(390\) | 45.0112 | − | 30.6881i | 2.27923 | − | 1.55395i | ||||
\(391\) | −2.60581 | + | 3.26758i | −0.131781 | + | 0.165248i | ||||
\(392\) | −3.13406 | − | 2.90799i | −0.158294 | − | 0.146876i | ||||
\(393\) | −17.6926 | + | 30.6445i | −0.892475 | + | 1.54581i | ||||
\(394\) | 5.96399 | + | 10.3299i | 0.300461 | + | 0.520414i | ||||
\(395\) | −2.84656 | + | 12.4716i | −0.143226 | + | 0.627514i | ||||
\(396\) | −4.46226 | + | 11.3696i | −0.224237 | + | 0.571346i | ||||
\(397\) | −8.02091 | − | 2.47412i | −0.402558 | − | 0.124173i | 0.0868631 | − | 0.996220i | \(-0.472316\pi\) |
−0.489421 | + | 0.872048i | \(0.662792\pi\) | |||||||
\(398\) | −26.5067 | − | 33.2383i | −1.32866 | − | 1.66609i | ||||
\(399\) | −1.30590 | + | 17.4260i | −0.0653765 | + | 0.872389i | ||||
\(400\) | −5.11596 | + | 1.57807i | −0.255798 | + | 0.0789033i | ||||
\(401\) | 23.6148 | + | 16.1003i | 1.17927 | + | 0.804011i | 0.984249 | − | 0.176789i | \(-0.0565709\pi\) |
0.195019 | + | 0.980800i | \(0.437523\pi\) | |||||||
\(402\) | 64.3517 | + | 9.69945i | 3.20957 | + | 0.483765i | ||||
\(403\) | 3.75625 | + | 16.4572i | 0.187112 | + | 0.819791i | ||||
\(404\) | −5.00439 | + | 4.64340i | −0.248978 | + | 0.231018i | ||||
\(405\) | 0.993180 | + | 13.2531i | 0.0493515 | + | 0.658550i | ||||
\(406\) | −13.5454 | − | 34.5131i | −0.672247 | − | 1.71286i | ||||
\(407\) | 2.83251 | − | 0.426932i | 0.140402 | − | 0.0211622i | ||||
\(408\) | −13.1746 | − | 6.34456i | −0.652241 | − | 0.314103i | ||||
\(409\) | 9.56120 | + | 4.60443i | 0.472771 | + | 0.227674i | 0.655069 | − | 0.755569i | \(-0.272639\pi\) |
−0.182299 | + | 0.983243i | \(0.558354\pi\) | |||||||
\(410\) | −40.2184 | + | 6.06195i | −1.98625 | + | 0.299378i | ||||
\(411\) | −6.35846 | − | 16.2011i | −0.313640 | − | 0.799141i | ||||
\(412\) | 1.57427 | + | 21.0072i | 0.0775589 | + | 1.03495i | ||||
\(413\) | 4.21924 | − | 3.91488i | 0.207615 | − | 0.192639i | ||||
\(414\) | −3.24921 | − | 14.2357i | −0.159690 | − | 0.699647i | ||||
\(415\) | 12.8862 | + | 1.94229i | 0.632560 | + | 0.0953431i | ||||
\(416\) | 19.9991 | + | 13.6351i | 0.980534 | + | 0.668517i | ||||
\(417\) | −8.66912 | + | 2.67407i | −0.424529 | + | 0.130950i | ||||
\(418\) | −0.395910 | + | 5.28306i | −0.0193646 | + | 0.258403i | ||||
\(419\) | −11.9692 | − | 15.0089i | −0.584735 | − | 0.733235i | 0.398177 | − | 0.917309i | \(-0.369643\pi\) |
−0.982912 | + | 0.184074i | \(0.941071\pi\) | |||||||
\(420\) | 41.2226 | + | 12.7155i | 2.01145 | + | 0.620452i | ||||
\(421\) | −10.9213 | + | 27.8270i | −0.532272 | + | 1.35621i | 0.371596 | + | 0.928395i | \(0.378811\pi\) |
−0.903868 | + | 0.427812i | \(0.859285\pi\) | |||||||
\(422\) | 8.38289 | − | 36.7278i | 0.408073 | − | 1.78788i | ||||
\(423\) | −10.3464 | − | 17.9205i | −0.503060 | − | 0.871326i | ||||
\(424\) | 6.50966 | − | 11.2751i | 0.316137 | − | 0.547565i | ||||
\(425\) | −6.13981 | − | 5.69691i | −0.297825 | − | 0.276341i | ||||
\(426\) | 47.7074 | − | 59.8232i | 2.31143 | − | 2.89844i | ||||
\(427\) | −12.8182 | + | 8.73930i | −0.620316 | + | 0.422924i | ||||
\(428\) | 20.2398 | − | 9.74695i | 0.978325 | − | 0.471137i | ||||
\(429\) | 7.62806 | 0.368286 | ||||||||
\(430\) | 27.1774 | − | 27.5828i | 1.31061 | − | 1.33016i | ||||
\(431\) | 20.3418 | 0.979832 | 0.489916 | − | 0.871770i | \(-0.337028\pi\) | ||||
0.489916 | + | 0.871770i | \(0.337028\pi\) | |||||||
\(432\) | −14.4284 | + | 6.94837i | −0.694188 | + | 0.334304i | ||||
\(433\) | −22.7969 | + | 15.5427i | −1.09555 | + | 0.746932i | −0.969500 | − | 0.245092i | \(-0.921182\pi\) |
−0.126049 | + | 0.992024i | \(0.540230\pi\) | |||||||
\(434\) | −14.5572 | + | 18.2542i | −0.698770 | + | 0.876229i | ||||
\(435\) | −49.5129 | − | 45.9412i | −2.37396 | − | 2.20271i | ||||
\(436\) | 7.59705 | − | 13.1585i | 0.363833 | − | 0.630176i | ||||
\(437\) | −1.81306 | − | 3.14031i | −0.0867304 | − | 0.150221i | ||||
\(438\) | −17.4968 | + | 76.6586i | −0.836030 | + | 3.66289i | ||||
\(439\) | −9.38354 | + | 23.9089i | −0.447852 | + | 1.14111i | 0.511597 | + | 0.859226i | \(0.329054\pi\) |
−0.959449 | + | 0.281883i | \(0.909041\pi\) | |||||||
\(440\) | 3.16605 | + | 0.976597i | 0.150935 | + | 0.0465574i | ||||
\(441\) | −10.0155 | − | 12.5590i | −0.476928 | − | 0.598049i | ||||
\(442\) | −1.74478 | + | 23.2825i | −0.0829908 | + | 1.10743i | ||||
\(443\) | 0.266159 | − | 0.0820992i | 0.0126456 | − | 0.00390065i | −0.288426 | − | 0.957502i | \(-0.593132\pi\) |
0.301072 | + | 0.953602i | \(0.402656\pi\) | |||||||
\(444\) | −22.3726 | − | 15.2534i | −1.06176 | − | 0.723894i | ||||
\(445\) | 5.57728 | + | 0.840639i | 0.264388 | + | 0.0398501i | ||||
\(446\) | −7.27162 | − | 31.8590i | −0.344321 | − | 1.50857i | ||||
\(447\) | −3.44570 | + | 3.19715i | −0.162976 | + | 0.151220i | ||||
\(448\) | 1.84245 | + | 24.5858i | 0.0870475 | + | 1.16157i | ||||
\(449\) | 4.94037 | + | 12.5878i | 0.233150 | + | 0.594057i | 0.998788 | − | 0.0492145i | \(-0.0156718\pi\) |
−0.765638 | + | 0.643272i | \(0.777577\pi\) | |||||||
\(450\) | 28.9358 | − | 4.36138i | 1.36405 | − | 0.205597i | ||||
\(451\) | −5.13112 | − | 2.47102i | −0.241615 | − | 0.116356i | ||||
\(452\) | 43.3099 | + | 20.8570i | 2.03713 | + | 0.981028i | ||||
\(453\) | −12.7872 | + | 1.92735i | −0.600793 | + | 0.0905550i | ||||
\(454\) | 9.90923 | + | 25.2483i | 0.465063 | + | 1.18496i | ||||
\(455\) | −1.30400 | − | 17.4007i | −0.0611325 | − | 0.815757i | ||||
\(456\) | 9.30020 | − | 8.62933i | 0.435522 | − | 0.404105i | ||||
\(457\) | 3.82680 | + | 16.7663i | 0.179010 | + | 0.784295i | 0.982088 | + | 0.188421i | \(0.0603370\pi\) |
−0.803078 | + | 0.595874i | \(0.796806\pi\) | |||||||
\(458\) | 43.5395 | + | 6.56253i | 2.03447 | + | 0.306647i | ||||
\(459\) | −20.7001 | − | 14.1131i | −0.966196 | − | 0.658741i | ||||
\(460\) | −8.55390 | + | 2.63853i | −0.398828 | + | 0.123022i | ||||
\(461\) | −0.242881 | + | 3.24102i | −0.0113121 | + | 0.150949i | 0.988687 | + | 0.149990i | \(0.0479243\pi\) |
−1.00000 | 0.000958913i | \(0.999695\pi\) | ||||||||
\(462\) | 6.57824 | + | 8.24885i | 0.306047 | + | 0.383771i | ||||
\(463\) | 32.6129 | + | 10.0597i | 1.51565 | + | 0.467516i | 0.937373 | − | 0.348326i | \(-0.113250\pi\) |
0.578275 | + | 0.815842i | \(0.303726\pi\) | |||||||
\(464\) | 6.76015 | − | 17.2246i | 0.313832 | − | 0.799631i | ||||
\(465\) | −9.46477 | + | 41.4679i | −0.438918 | + | 1.92303i | ||||
\(466\) | −31.9347 | − | 55.3125i | −1.47934 | − | 2.56230i | ||||
\(467\) | 17.3380 | − | 30.0303i | 0.802308 | − | 1.38964i | −0.115786 | − | 0.993274i | \(-0.536939\pi\) |
0.918094 | − | 0.396364i | \(-0.129728\pi\) | |||||||
\(468\) | −34.2345 | − | 31.7650i | −1.58249 | − | 1.46834i | ||||
\(469\) | 12.9968 | − | 16.2974i | 0.600134 | − | 0.752545i | ||||
\(470\) | −18.3075 | + | 12.4818i | −0.844462 | + | 0.575744i | ||||
\(471\) | 9.59059 | − | 4.61858i | 0.441911 | − | 0.212813i | ||||
\(472\) | −4.17873 | −0.192342 | ||||||||
\(473\) | 5.31989 | − | 1.04743i | 0.244609 | − | 0.0481610i | ||||
\(474\) | 29.5747 | 1.35841 | ||||||||
\(475\) | 6.54726 | − | 3.15299i | 0.300409 | − | 0.144669i | ||||
\(476\) | −15.2759 | + | 10.4149i | −0.700171 | + | 0.477368i | ||||
\(477\) | 30.4991 | − | 38.2447i | 1.39646 | − | 1.75110i | ||||
\(478\) | −38.2237 | − | 35.4664i | −1.74831 | − | 1.62219i | ||||
\(479\) | −3.86193 | + | 6.68907i | −0.176456 | + | 0.305631i | −0.940664 | − | 0.339339i | \(-0.889797\pi\) |
0.764208 | + | 0.644970i | \(0.223130\pi\) | |||||||
\(480\) | 30.4951 | + | 52.8191i | 1.39190 | + | 2.41085i | ||||
\(481\) | −2.43721 | + | 10.6781i | −0.111127 | + | 0.486881i | ||||
\(482\) | 4.68892 | − | 11.9472i | 0.213575 | − | 0.544179i | ||||
\(483\) | −6.90057 | − | 2.12854i | −0.313987 | − | 0.0968520i | ||||
\(484\) | −17.2289 | − | 21.6044i | −0.783132 | − | 0.982017i | ||||
\(485\) | −2.45838 | + | 32.8048i | −0.111629 | + | 1.48959i | ||||
\(486\) | −16.1402 | + | 4.97858i | −0.732133 | + | 0.225833i | ||||
\(487\) | −19.0696 | − | 13.0014i | −0.864125 | − | 0.589151i | 0.0480986 | − | 0.998843i | \(-0.484684\pi\) |
−0.912224 | + | 0.409692i | \(0.865636\pi\) | |||||||
\(488\) | 11.1375 | + | 1.67871i | 0.504171 | + | 0.0759916i | ||||
\(489\) | 5.00311 | + | 21.9201i | 0.226249 | + | 0.991260i | ||||
\(490\) | −12.6090 | + | 11.6995i | −0.569617 | + | 0.528527i | ||||
\(491\) | −0.737039 | − | 9.83511i | −0.0332621 | − | 0.443852i | −0.988827 | − | 0.149070i | \(-0.952372\pi\) |
0.955565 | − | 0.294782i | \(-0.0952470\pi\) | |||||||
\(492\) | 19.6681 | + | 50.1136i | 0.886707 | + | 2.25929i | ||||
\(493\) | 28.6244 | − | 4.31443i | 1.28918 | − | 0.194312i | ||||
\(494\) | −18.2509 | − | 8.78917i | −0.821147 | − | 0.395444i | ||||
\(495\) | 11.2159 | + | 5.40128i | 0.504116 | + | 0.242770i | ||||
\(496\) | −11.5222 | + | 1.73669i | −0.517362 | + | 0.0779798i | ||||
\(497\) | −8.95411 | − | 22.8147i | −0.401647 | − | 1.02338i | ||||
\(498\) | −2.25149 | − | 30.0441i | −0.100892 | − | 1.34631i | ||||
\(499\) | 30.3095 | − | 28.1231i | 1.35684 | − | 1.25896i | 0.420759 | − | 0.907172i | \(-0.361764\pi\) |
0.936079 | − | 0.351790i | \(-0.114427\pi\) | |||||||
\(500\) | 4.14421 | + | 18.1570i | 0.185335 | + | 0.812004i | ||||
\(501\) | −14.2002 | − | 2.14034i | −0.634419 | − | 0.0956233i | ||||
\(502\) | 25.7079 | + | 17.5274i | 1.14740 | + | 0.782285i | ||||
\(503\) | 13.2126 | − | 4.07554i | 0.589120 | − | 0.181720i | 0.0141584 | − | 0.999900i | \(-0.495493\pi\) |
0.574962 | + | 0.818180i | \(0.305017\pi\) | |||||||
\(504\) | 1.22289 | − | 16.3183i | 0.0544716 | − | 0.726873i | ||||
\(505\) | 4.33824 | + | 5.43998i | 0.193049 | + | 0.242076i | ||||
\(506\) | −2.09206 | − | 0.645314i | −0.0930032 | − | 0.0286877i | ||||
\(507\) | 3.20307 | − | 8.16128i | 0.142253 | − | 0.362455i | ||||
\(508\) | −11.6769 | + | 51.1600i | −0.518080 | + | 2.26986i | ||||
\(509\) | 12.1089 | + | 20.9732i | 0.536716 | + | 0.929619i | 0.999078 | + | 0.0429280i | \(0.0136686\pi\) |
−0.462362 | + | 0.886691i | \(0.652998\pi\) | |||||||
\(510\) | −29.4152 | + | 50.9486i | −1.30253 | + | 2.25604i | ||||
\(511\) | 18.4625 | + | 17.1307i | 0.816733 | + | 0.757818i | ||||
\(512\) | −14.4118 | + | 18.0719i | −0.636920 | + | 0.798672i | ||||
\(513\) | 17.9598 | − | 12.2448i | 0.792943 | − | 0.540620i | ||||
\(514\) | −35.4107 | + | 17.0529i | −1.56190 | + | 0.752171i | ||||
\(515\) | 21.4710 | 0.946125 | ||||||||
\(516\) | −43.5983 | − | 26.9465i | −1.91931 | − | 1.18625i | ||||
\(517\) | −3.10258 | −0.136451 | ||||||||
\(518\) | −13.6489 | + | 6.57298i | −0.599700 | + | 0.288800i | ||||
\(519\) | 51.9863 | − | 35.4436i | 2.28194 | − | 1.55580i | ||||
\(520\) | −7.89872 | + | 9.90468i | −0.346382 | + | 0.434349i | ||||
\(521\) | −4.41210 | − | 4.09383i | −0.193297 | − | 0.179354i | 0.577586 | − | 0.816330i | \(-0.303995\pi\) |
−0.770884 | + | 0.636976i | \(0.780185\pi\) | |||||||
\(522\) | −50.5683 | + | 87.5868i | −2.21331 | + | 3.83357i | ||||
\(523\) | −18.5046 | − | 32.0509i | −0.809149 | − | 1.40149i | −0.913454 | − | 0.406942i | \(-0.866595\pi\) |
0.104305 | − | 0.994545i | \(-0.466738\pi\) | |||||||
\(524\) | 7.22789 | − | 31.6674i | 0.315752 | − | 1.38340i | ||||
\(525\) | 5.28721 | − | 13.4716i | 0.230753 | − | 0.587949i | ||||
\(526\) | 32.7672 | + | 10.1073i | 1.42872 | + | 0.440701i | ||||
\(527\) | −11.3658 | − | 14.2522i | −0.495101 | − | 0.620838i | ||||
\(528\) | −0.393496 | + | 5.25083i | −0.0171247 | + | 0.228513i | ||||
\(529\) | −20.5463 | + | 6.33769i | −0.893316 | + | 0.275552i | ||||
\(530\) | −43.2780 | − | 29.5064i | −1.87987 | − | 1.28168i | ||||
\(531\) | −15.5252 | − | 2.34004i | −0.673734 | − | 0.101549i | ||||
\(532\) | −3.56946 | − | 15.6388i | −0.154756 | − | 0.678028i | ||||
\(533\) | 15.9628 | − | 14.8114i | 0.691428 | − | 0.641551i | ||||
\(534\) | −0.974466 | − | 13.0034i | −0.0421693 | − | 0.562710i | ||||
\(535\) | −8.36491 | − | 21.3134i | −0.361647 | − | 0.921461i | ||||
\(536\) | −14.9648 | + | 2.25559i | −0.646383 | + | 0.0974266i | ||||
\(537\) | −44.1808 | − | 21.2763i | −1.90654 | − | 0.918141i | ||||
\(538\) | 20.6025 | + | 9.92163i | 0.888235 | + | 0.427752i | ||||
\(539\) | −2.38159 | + | 0.358968i | −0.102583 | + | 0.0154618i | ||||
\(540\) | −19.6043 | − | 49.9510i | −0.843636 | − | 2.14955i | ||||
\(541\) | −0.253692 | − | 3.38529i | −0.0109071 | − | 0.145545i | 0.989091 | − | 0.147303i | \(-0.0470593\pi\) |
−0.999998 | + | 0.00175845i | \(0.999440\pi\) | |||||||
\(542\) | −2.81556 | + | 2.61246i | −0.120939 | + | 0.112215i | ||||
\(543\) | 0.523143 | + | 2.29204i | 0.0224502 | + | 0.0983608i | ||||
\(544\) | −25.8472 | − | 3.89583i | −1.10819 | − | 0.167032i | ||||
\(545\) | −12.7952 | − | 8.72363i | −0.548087 | − | 0.373679i | ||||
\(546\) | −38.5494 | + | 11.8909i | −1.64976 | + | 0.508884i | ||||
\(547\) | −1.91085 | + | 25.4985i | −0.0817021 | + | 1.09024i | 0.794170 | + | 0.607696i | \(0.207906\pi\) |
−0.875872 | + | 0.482543i | \(0.839713\pi\) | |||||||
\(548\) | 9.96096 | + | 12.4906i | 0.425511 | + | 0.533574i | ||||
\(549\) | 40.4389 | + | 12.4738i | 1.72589 | + | 0.532367i | ||||
\(550\) | 1.60293 | − | 4.08421i | 0.0683493 | − | 0.174151i | ||||
\(551\) | −5.58874 | + | 24.4859i | −0.238089 | + | 1.04313i | ||||
\(552\) | 2.62141 | + | 4.54042i | 0.111575 | + | 0.193253i | ||||
\(553\) | 4.73651 | − | 8.20387i | 0.201417 | − | 0.348864i | ||||
\(554\) | 2.96230 | + | 2.74861i | 0.125856 | + | 0.116777i | ||||
\(555\) | −17.2071 | + | 21.5770i | −0.730401 | + | 0.915894i | ||||
\(556\) | 6.88074 | − | 4.69121i | 0.291808 | − | 0.198952i | ||||
\(557\) | −18.9148 | + | 9.10888i | −0.801445 | + | 0.385955i | −0.789328 | − | 0.613971i | \(-0.789571\pi\) |
−0.0121162 | + | 0.999927i | \(0.503857\pi\) | |||||||
\(558\) | 63.6890 | 2.69617 | ||||||||
\(559\) | −3.70335 | + | 20.3983i | −0.156635 | + | 0.862754i | ||||
\(560\) | 12.0452 | 0.509001 | ||||||||
\(561\) | −7.42182 | + | 3.57416i | −0.313350 | + | 0.150901i | ||||
\(562\) | 9.73795 | − | 6.63922i | 0.410771 | − | 0.280059i | ||||
\(563\) | −16.8730 | + | 21.1580i | −0.711111 | + | 0.891705i | −0.997798 | − | 0.0663195i | \(-0.978874\pi\) |
0.286688 | + | 0.958024i | \(0.407446\pi\) | |||||||
\(564\) | 21.4991 | + | 19.9482i | 0.905274 | + | 0.839971i | ||||
\(565\) | 24.4971 | − | 42.4302i | 1.03060 | − | 1.78505i | ||||
\(566\) | 10.2436 | + | 17.7424i | 0.430570 | + | 0.745768i | ||||
\(567\) | 2.18999 | − | 9.59497i | 0.0919709 | − | 0.402951i | ||||
\(568\) | −6.50081 | + | 16.5638i | −0.272768 | + | 0.695001i | ||||
\(569\) | −26.2872 | − | 8.10851i | −1.10201 | − | 0.339927i | −0.310190 | − | 0.950675i | \(-0.600393\pi\) |
−0.791825 | + | 0.610748i | \(0.790869\pi\) | |||||||
\(570\) | −31.8244 | − | 39.9065i | −1.33298 | − | 1.67150i | ||||
\(571\) | 2.56665 | − | 34.2495i | 0.107411 | − | 1.43330i | −0.639713 | − | 0.768614i | \(-0.720947\pi\) |
0.747124 | − | 0.664685i | \(-0.231434\pi\) | |||||||
\(572\) | −6.69108 | + | 2.06392i | −0.279768 | + | 0.0862970i | ||||
\(573\) | 27.9019 | + | 19.0232i | 1.16562 | + | 0.794705i | ||||
\(574\) | 29.7827 | + | 4.48902i | 1.24311 | + | 0.187368i | ||||
\(575\) | 0.668234 | + | 2.92772i | 0.0278673 | + | 0.122095i | ||||
\(576\) | 49.3002 | − | 45.7439i | 2.05418 | − | 1.90600i | ||||
\(577\) | −0.0405171 | − | 0.540663i | −0.00168675 | − | 0.0225081i | 0.996297 | − | 0.0859794i | \(-0.0274019\pi\) |
−0.997984 | + | 0.0634713i | \(0.979783\pi\) | |||||||
\(578\) | 4.22246 | + | 10.7587i | 0.175631 | + | 0.447501i | ||||
\(579\) | −16.9393 | + | 2.55319i | −0.703973 | + | 0.106107i | ||||
\(580\) | 55.8614 | + | 26.9014i | 2.31952 | + | 1.11702i | ||||
\(581\) | −8.69466 | − | 4.18713i | −0.360715 | − | 0.173711i | ||||
\(582\) | 75.2049 | − | 11.3353i | 3.11734 | − | 0.469864i | ||||
\(583\) | −2.67953 | − | 6.82734i | −0.110975 | − | 0.282759i | ||||
\(584\) | −1.36646 | − | 18.2341i | −0.0565444 | − | 0.754533i | ||||
\(585\) | −34.8925 | + | 32.3755i | −1.44263 | + | 1.33856i | ||||
\(586\) | 4.60239 | + | 20.1644i | 0.190123 | + | 0.832983i | ||||
\(587\) | 9.72187 | + | 1.46534i | 0.401265 | + | 0.0604809i | 0.346574 | − | 0.938022i | \(-0.387345\pi\) |
0.0546901 | + | 0.998503i | \(0.482583\pi\) | |||||||
\(588\) | 18.8111 | + | 12.8252i | 0.775755 | + | 0.528901i | ||||
\(589\) | 15.1134 | − | 4.66188i | 0.622738 | − | 0.192089i | ||||
\(590\) | −1.25636 | + | 16.7649i | −0.0517234 | + | 0.690200i | ||||
\(591\) | −10.0329 | − | 12.5808i | −0.412697 | − | 0.517505i | ||||
\(592\) | −7.22465 | − | 2.22851i | −0.296931 | − | 0.0915911i | ||||
\(593\) | 10.5629 | − | 26.9139i | 0.433767 | − | 1.10522i | −0.532214 | − | 0.846610i | \(-0.678640\pi\) |
0.965981 | − | 0.258611i | \(-0.0832649\pi\) | |||||||
\(594\) | 2.92034 | − | 12.7948i | 0.119823 | − | 0.524979i | ||||
\(595\) | 9.42192 | + | 16.3192i | 0.386261 | + | 0.669024i | ||||
\(596\) | 2.15740 | − | 3.73673i | 0.0883707 | − | 0.153063i | ||||
\(597\) | 42.0426 | + | 39.0098i | 1.72069 | + | 1.59657i | ||||
\(598\) | 5.21930 | − | 6.54479i | 0.213433 | − | 0.267636i | ||||
\(599\) | −1.58885 | + | 1.08326i | −0.0649188 | + | 0.0442609i | −0.595345 | − | 0.803470i | \(-0.702984\pi\) |
0.530426 | + | 0.847731i | \(0.322032\pi\) | |||||||
\(600\) | −9.46636 | + | 4.55876i | −0.386463 | + | 0.186111i | ||||
\(601\) | −45.9528 | −1.87446 | −0.937228 | − | 0.348718i | \(-0.886617\pi\) | ||||
−0.937228 | + | 0.348718i | \(0.886617\pi\) | |||||||
\(602\) | −25.2520 | + | 13.5862i | −1.02919 | + | 0.553732i | ||||
\(603\) | −56.8617 | −2.31559 | ||||||||
\(604\) | 10.6950 | − | 5.15043i | 0.435173 | − | 0.209568i | ||||
\(605\) | −23.2703 | + | 15.8654i | −0.946071 | + | 0.645020i | ||||
\(606\) | 10.0296 | − | 12.5767i | 0.407425 | − | 0.510895i | ||||
\(607\) | 21.6805 | + | 20.1166i | 0.879986 | + | 0.816508i | 0.984019 | − | 0.178066i | \(-0.0569841\pi\) |
−0.104032 | + | 0.994574i | \(0.533175\pi\) | |||||||
\(608\) | 11.3394 | − | 19.6404i | 0.459873 | − | 0.796524i | ||||
\(609\) | 25.0088 | + | 43.3165i | 1.01341 | + | 1.75527i | ||||
\(610\) | 10.0835 | − | 44.1786i | 0.408268 | − | 1.78874i | ||||
\(611\) | 4.33406 | − | 11.0430i | 0.175337 | − | 0.446752i | ||||
\(612\) | 48.1926 | + | 14.8654i | 1.94807 | + | 0.600900i | ||||
\(613\) | −1.83476 | − | 2.30071i | −0.0741052 | − | 0.0929250i | 0.743397 | − | 0.668850i | \(-0.233213\pi\) |
−0.817502 | + | 0.575925i | \(0.804642\pi\) | |||||||
\(614\) | 2.89737 | − | 38.6627i | 0.116928 | − | 1.56030i | ||||
\(615\) | 52.4319 | − | 16.1731i | 2.11426 | − | 0.652162i | ||||
\(616\) | −2.02721 | − | 1.38213i | −0.0816786 | − | 0.0556875i | ||||
\(617\) | 9.18497 | + | 1.38441i | 0.369773 | + | 0.0557343i | 0.331300 | − | 0.943525i | \(-0.392513\pi\) |
0.0384726 | + | 0.999260i | \(0.487751\pi\) | |||||||
\(618\) | −11.0457 | − | 48.3945i | −0.444324 | − | 1.94671i | ||||
\(619\) | −28.9452 | + | 26.8572i | −1.16341 | + | 1.07948i | −0.167803 | + | 0.985821i | \(0.553667\pi\) |
−0.995604 | + | 0.0936630i | \(0.970142\pi\) | |||||||
\(620\) | −2.91778 | − | 38.9351i | −0.117181 | − | 1.56367i | ||||
\(621\) | 3.28172 | + | 8.36169i | 0.131691 | + | 0.335543i | ||||
\(622\) | 26.6692 | − | 4.01973i | 1.06934 | − | 0.161176i | ||||
\(623\) | −3.76313 | − | 1.81223i | −0.150767 | − | 0.0726053i | ||||
\(624\) | −18.1396 | − | 8.73556i | −0.726165 | − | 0.349702i | ||||
\(625\) | 30.8988 | − | 4.65724i | 1.23595 | − | 0.186290i | ||||
\(626\) | −20.6937 | − | 52.7267i | −0.827087 | − | 2.10738i | ||||
\(627\) | −0.534104 | − | 7.12712i | −0.0213300 | − | 0.284630i | ||||
\(628\) | −7.16289 | + | 6.64619i | −0.285831 | + | 0.265212i | ||||
\(629\) | −2.63197 | − | 11.5314i | −0.104943 | − | 0.459787i | ||||
\(630\) | −65.1006 | − | 9.81234i | −2.59367 | − | 0.390933i | ||||
\(631\) | −18.1097 | − | 12.3470i | −0.720936 | − | 0.491526i | 0.146415 | − | 0.989223i | \(-0.453227\pi\) |
−0.867351 | + | 0.497698i | \(0.834179\pi\) | |||||||
\(632\) | −6.57199 | + | 2.02719i | −0.261420 | + | 0.0806373i | ||||
\(633\) | −3.79793 | + | 50.6799i | −0.150954 | + | 2.01435i | ||||
\(634\) | −12.2054 | − | 15.3051i | −0.484739 | − | 0.607843i | ||||
\(635\) | 51.1081 | + | 15.7647i | 2.02816 | + | 0.625605i | ||||
\(636\) | −25.3292 | + | 64.5377i | −1.00437 | + | 2.55909i | ||||
\(637\) | 2.04923 | − | 8.97825i | 0.0811933 | − | 0.355731i | ||||
\(638\) | 7.58195 | + | 13.1323i | 0.300172 | + | 0.519914i | ||||
\(639\) | −33.4279 | + | 57.8988i | −1.32239 | + | 2.29044i | ||||
\(640\) | −22.1465 | − | 20.5490i | −0.875418 | − | 0.812270i | ||||
\(641\) | 14.4602 | − | 18.1325i | 0.571143 | − | 0.716191i | −0.409431 | − | 0.912341i | \(-0.634273\pi\) |
0.980574 | + | 0.196151i | \(0.0628441\pi\) | |||||||
\(642\) | −43.7360 | + | 29.8187i | −1.72612 | + | 1.17685i | ||||
\(643\) | −18.3605 | + | 8.84194i | −0.724067 | + | 0.348692i | −0.759347 | − | 0.650685i | \(-0.774482\pi\) |
0.0352809 | + | 0.999377i | \(0.488767\pi\) | |||||||
\(644\) | 6.62887 | 0.261214 | ||||||||
\(645\) | −30.7083 | + | 42.2595i | −1.20914 | + | 1.66397i | ||||
\(646\) | 21.8757 | 0.860687 | ||||||||
\(647\) | −0.758290 | + | 0.365173i | −0.0298114 | + | 0.0143564i | −0.448730 | − | 0.893667i | \(-0.648124\pi\) |
0.418919 | + | 0.908024i | \(0.362409\pi\) | |||||||
\(648\) | −5.90366 | + | 4.02505i | −0.231918 | + | 0.158119i | ||||
\(649\) | −1.46773 | + | 1.84047i | −0.0576134 | + | 0.0722449i | ||||
\(650\) | 12.2977 | + | 11.4106i | 0.482357 | + | 0.447562i | ||||
\(651\) | 15.7488 | − | 27.2778i | 0.617245 | − | 1.06910i | ||||
\(652\) | −10.3195 | − | 17.8739i | −0.404142 | − | 0.699994i | ||||
\(653\) | −8.94329 | + | 39.1831i | −0.349978 | + | 1.53335i | 0.427250 | + | 0.904134i | \(0.359483\pi\) |
−0.777227 | + | 0.629220i | \(0.783375\pi\) | |||||||
\(654\) | −13.0801 | + | 33.3276i | −0.511473 | + | 1.30321i | ||||
\(655\) | −31.6353 | − | 9.75819i | −1.23609 | − | 0.381284i | ||||
\(656\) | 9.37207 | + | 11.7522i | 0.365918 | + | 0.458846i | ||||
\(657\) | 5.13412 | − | 68.5101i | 0.200301 | − | 2.67283i | ||||
\(658\) | 15.6793 | − | 4.83642i | 0.611242 | − | 0.188543i | ||||
\(659\) | −16.9744 | − | 11.5729i | −0.661229 | − | 0.450818i | 0.185642 | − | 0.982617i | \(-0.440564\pi\) |
−0.846870 | + | 0.531800i | \(0.821516\pi\) | |||||||
\(660\) | −17.4466 | − | 2.62965i | −0.679107 | − | 0.102359i | ||||
\(661\) | −4.27999 | − | 18.7519i | −0.166472 | − | 0.729364i | −0.987389 | − | 0.158315i | \(-0.949394\pi\) |
0.820916 | − | 0.571049i | \(-0.193463\pi\) | |||||||
\(662\) | −5.54172 | + | 5.14197i | −0.215385 | + | 0.199848i | ||||
\(663\) | −2.35380 | − | 31.4093i | −0.0914140 | − | 1.21984i | ||||
\(664\) | 2.55968 | + | 6.52197i | 0.0993350 | + | 0.253101i | ||||
\(665\) | −16.1667 | + | 2.43673i | −0.626916 | + | 0.0944925i | ||||
\(666\) | 37.2317 | + | 17.9299i | 1.44270 | + | 0.694768i | ||||
\(667\) | −9.35107 | − | 4.50324i | −0.362075 | − | 0.174366i | ||||
\(668\) | 13.0351 | − | 1.96472i | 0.504342 | − | 0.0760173i | ||||
\(669\) | 16.1060 | + | 41.0374i | 0.622694 | + | 1.58660i | ||||
\(670\) | 4.55008 | + | 60.7166i | 0.175785 | + | 2.34569i | ||||
\(671\) | 4.65129 | − | 4.31576i | 0.179561 | − | 0.166608i | ||||
\(672\) | −10.0501 | − | 44.0323i | −0.387691 | − | 1.69858i | ||||
\(673\) | 11.6700 | + | 1.75897i | 0.449846 | + | 0.0678033i | 0.370058 | − | 0.929009i | \(-0.379338\pi\) |
0.0797875 | + | 0.996812i | \(0.474576\pi\) | |||||||
\(674\) | −9.29445 | − | 6.33685i | −0.358009 | − | 0.244086i | ||||
\(675\) | −17.2018 | + | 5.30606i | −0.662099 | + | 0.204230i | ||||
\(676\) | −0.601425 | + | 8.02546i | −0.0231317 | + | 0.308671i | ||||
\(677\) | −5.08538 | − | 6.37687i | −0.195447 | − | 0.245083i | 0.674445 | − | 0.738325i | \(-0.264383\pi\) |
−0.869892 | + | 0.493242i | \(0.835812\pi\) | |||||||
\(678\) | −108.238 | − | 33.3870i | −4.15686 | − | 1.28222i | ||||
\(679\) | 8.90000 | − | 22.6768i | 0.341551 | − | 0.870257i | ||||
\(680\) | 3.04428 | − | 13.3379i | 0.116743 | − | 0.511484i | ||||
\(681\) | −18.2953 | − | 31.6885i | −0.701079 | − | 1.21430i | ||||
\(682\) | 4.77460 | − | 8.26985i | 0.182829 | − | 0.316669i | ||||
\(683\) | 4.30555 | + | 3.99496i | 0.164747 | + | 0.152863i | 0.758238 | − | 0.651977i | \(-0.226060\pi\) |
−0.593491 | + | 0.804841i | \(0.702251\pi\) | |||||||
\(684\) | −27.2819 | + | 34.2105i | −1.04315 | + | 1.30807i | ||||
\(685\) | 13.4538 | − | 9.17264i | 0.514043 | − | 0.350469i | ||||
\(686\) | 39.0549 | − | 18.8078i | 1.49112 | − | 0.718087i | ||||
\(687\) | −59.4005 | −2.26627 | ||||||||
\(688\) | −13.8503 | − | 3.60148i | −0.528036 | − | 0.137305i | ||||
\(689\) | 28.0436 | 1.06838 | ||||||||
\(690\) | 19.0042 | − | 9.15192i | 0.723476 | − | 0.348408i | ||||
\(691\) | 30.4990 | − | 20.7939i | 1.16024 | − | 0.791037i | 0.179002 | − | 0.983849i | \(-0.442713\pi\) |
0.981236 | + | 0.192812i | \(0.0617607\pi\) | |||||||
\(692\) | −36.0106 | + | 45.1559i | −1.36892 | + | 1.71657i | ||||
\(693\) | −6.75768 | − | 6.27021i | −0.256703 | − | 0.238185i | ||||
\(694\) | 8.29865 | − | 14.3737i | 0.315012 | − | 0.545617i | ||||
\(695\) | −4.24392 | − | 7.35068i | −0.160981 | − | 0.278827i | ||||
\(696\) | 8.08050 | − | 35.4030i | 0.306290 | − | 1.34195i | ||||
\(697\) | −8.59134 | + | 21.8904i | −0.325420 | + | 0.829157i | ||||
\(698\) | 54.6267 | + | 16.8501i | 2.06765 | + | 0.637786i | ||||
\(699\) | 53.7218 | + | 67.3650i | 2.03194 | + | 2.54798i | ||||
\(700\) | −0.992755 | + | 13.2474i | −0.0375226 | + | 0.500705i | ||||
\(701\) | −13.3574 | + | 4.12021i | −0.504502 | + | 0.155618i | −0.536551 | − | 0.843868i | \(-0.680273\pi\) |
0.0320488 | + | 0.999486i | \(0.489797\pi\) | |||||||
\(702\) | 41.4612 | + | 28.2677i | 1.56485 | + | 1.06690i | ||||
\(703\) | 10.1475 | + | 1.52950i | 0.382722 | + | 0.0576860i | ||||
\(704\) | −2.24382 | − | 9.83081i | −0.0845671 | − | 0.370513i | ||||
\(705\) | 21.9122 | − | 20.3316i | 0.825263 | − | 0.765732i | ||||
\(706\) | 1.61114 | + | 21.4991i | 0.0606359 | + | 0.809130i | ||||
\(707\) | −1.88244 | − | 4.79638i | −0.0707965 | − | 0.180387i | ||||
\(708\) | 22.0039 | − | 3.31656i | 0.826959 | − | 0.124644i | ||||
\(709\) | −26.8924 | − | 12.9507i | −1.00997 | − | 0.486374i | −0.145656 | − | 0.989335i | \(-0.546529\pi\) |
−0.864309 | + | 0.502962i | \(0.832244\pi\) | |||||||
\(710\) | 64.4988 | + | 31.0610i | 2.42060 | + | 1.16570i | ||||
\(711\) | −25.5520 | + | 3.85134i | −0.958275 | + | 0.144437i | ||||
\(712\) | 1.10785 | + | 2.82277i | 0.0415186 | + | 0.105788i | ||||
\(713\) | 0.488431 | + | 6.51765i | 0.0182919 | + | 0.244088i | ||||
\(714\) | 31.9356 | − | 29.6319i | 1.19516 | − | 1.10895i | ||||
\(715\) | 1.58807 | + | 6.95780i | 0.0593906 | + | 0.260207i | ||||
\(716\) | 44.5106 | + | 6.70890i | 1.66344 | + | 0.250723i | ||||
\(717\) | 58.1209 | + | 39.6261i | 2.17056 | + | 1.47987i | ||||
\(718\) | 2.92251 | − | 0.901474i | 0.109067 | − | 0.0336427i | ||||
\(719\) | 0.700233 | − | 9.34396i | 0.0261143 | − | 0.348471i | −0.968807 | − | 0.247816i | \(-0.920287\pi\) |
0.994921 | − | 0.100655i | \(-0.0320938\pi\) | |||||||
\(720\) | −20.4860 | − | 25.6886i | −0.763467 | − | 0.957358i | ||||
\(721\) | −15.1934 | − | 4.68654i | −0.565832 | − | 0.174536i | ||||
\(722\) | 8.08035 | − | 20.5884i | 0.300719 | − | 0.766220i | ||||
\(723\) | −3.85278 | + | 16.8801i | −0.143286 | + | 0.627779i | ||||
\(724\) | −1.07904 | − | 1.86895i | −0.0401022 | − | 0.0694591i | ||||
\(725\) | 10.3999 | − | 18.0132i | 0.386243 | − | 0.668992i | ||||
\(726\) | 47.7311 | + | 44.2880i | 1.77147 | + | 1.64368i | ||||
\(727\) | −32.3793 | + | 40.6024i | −1.20088 | + | 1.50586i | −0.389828 | + | 0.920888i | \(0.627466\pi\) |
−0.811054 | + | 0.584971i | \(0.801106\pi\) | |||||||
\(728\) | 7.75125 | − | 5.28471i | 0.287280 | − | 0.195864i | ||||
\(729\) | 33.6878 | − | 16.2232i | 1.24770 | − | 0.600858i | ||||
\(730\) | −73.5654 | −2.72278 | ||||||||
\(731\) | −5.95447 | − | 21.5820i | −0.220234 | − | 0.798238i | ||||
\(732\) | −59.9792 | −2.21689 | ||||||||
\(733\) | 14.5273 | − | 6.99597i | 0.536577 | − | 0.258402i | −0.145912 | − | 0.989298i | \(-0.546612\pi\) |
0.682489 | + | 0.730896i | \(0.260897\pi\) | |||||||
\(734\) | −50.6529 | + | 34.5346i | −1.86963 | + | 1.27469i | ||||
\(735\) | 14.4679 | − | 18.1421i | 0.533655 | − | 0.669183i | ||||
\(736\) | 6.87010 | + | 6.37452i | 0.253235 | + | 0.234968i | ||||
\(737\) | −4.26278 | + | 7.38335i | −0.157021 | + | 0.271969i | ||||
\(738\) | −41.0796 | − | 71.1520i | −1.51216 | − | 2.61914i | ||||
\(739\) | −2.96821 | + | 13.0046i | −0.109187 | + | 0.478381i | 0.890537 | + | 0.454911i | \(0.150329\pi\) |
−0.999725 | + | 0.0234707i | \(0.992528\pi\) | |||||||
\(740\) | 9.25540 | − | 23.5824i | 0.340235 | − | 0.866906i | ||||
\(741\) | 26.1136 | + | 8.05499i | 0.959308 | + | 0.295907i | ||||
\(742\) | 24.1841 | + | 30.3259i | 0.887825 | + | 1.11330i | ||||
\(743\) | 0.266334 | − | 3.55398i | 0.00977085 | − | 0.130383i | −0.990185 | − | 0.139762i | \(-0.955366\pi\) |
0.999956 | + | 0.00937874i | \(0.00298539\pi\) | |||||||
\(744\) | −21.8518 | + | 6.74038i | −0.801125 | + | 0.247114i | ||||
\(745\) | −3.63358 | − | 2.47733i | −0.133124 | − | 0.0907624i | ||||
\(746\) | −50.3996 | − | 7.59652i | −1.84526 | − | 0.278128i | ||||
\(747\) | 5.85772 | + | 25.6643i | 0.214323 | + | 0.939009i | ||||
\(748\) | 5.54311 | − | 5.14326i | 0.202676 | − | 0.188056i | ||||
\(749\) | 1.26706 | + | 16.9077i | 0.0462974 | + | 0.617796i | ||||
\(750\) | −16.0327 | − | 40.8507i | −0.585432 | − | 1.49166i | ||||
\(751\) | 0.730912 | − | 0.110167i | 0.0266714 | − | 0.00402006i | −0.135693 | − | 0.990751i | \(-0.543326\pi\) |
0.162364 | + | 0.986731i | \(0.448088\pi\) | |||||||
\(752\) | 7.37796 | + | 3.55304i | 0.269046 | + | 0.129566i | ||||
\(753\) | −37.8182 | − | 18.2123i | −1.37817 | − | 0.663692i | ||||
\(754\) | −57.3332 | + | 8.64159i | −2.08795 | + | 0.314708i | ||||
\(755\) | −4.42014 | − | 11.2623i | −0.160865 | − | 0.409879i | ||||
\(756\) | 2.96953 | + | 39.6256i | 0.108001 | + | 1.44117i | ||||
\(757\) | −4.16657 | + | 3.86601i | −0.151436 | + | 0.140513i | −0.752253 | − | 0.658875i | \(-0.771033\pi\) |
0.600816 | + | 0.799387i | \(0.294842\pi\) | |||||||
\(758\) | −1.09562 | − | 4.80021i | −0.0397946 | − | 0.174352i | ||||
\(759\) | 2.92052 | + | 0.440198i | 0.106008 | + | 0.0159782i | ||||
\(760\) | 9.80729 | + | 6.68650i | 0.355748 | + | 0.242545i | ||||
\(761\) | −23.9356 | + | 7.38315i | −0.867665 | + | 0.267639i | −0.696459 | − | 0.717596i | \(-0.745242\pi\) |
−0.171205 | + | 0.985235i | \(0.554766\pi\) | |||||||
\(762\) | 9.24043 | − | 123.305i | 0.334746 | − | 4.46687i | ||||
\(763\) | 7.15007 | + | 8.96591i | 0.258850 | + | 0.324588i | ||||
\(764\) | −29.6217 | − | 9.13708i | −1.07168 | − | 0.330568i | ||||
\(765\) | 18.7794 | − | 47.8492i | 0.678972 | − | 1.72999i | ||||
\(766\) | −9.43171 | + | 41.3230i | −0.340781 | + | 1.49306i | ||||
\(767\) | −4.50049 | − | 7.79508i | −0.162503 | − | 0.281464i | ||||
\(768\) | 0.662621 | − | 1.14769i | 0.0239103 | − | 0.0414138i | ||||
\(769\) | −19.8037 | − | 18.3752i | −0.714140 | − | 0.662625i | 0.236956 | − | 0.971520i | \(-0.423850\pi\) |
−0.951096 | + | 0.308895i | \(0.900041\pi\) | |||||||
\(770\) | −6.15454 | + | 7.71754i | −0.221794 | + | 0.278121i | ||||
\(771\) | 43.8086 | − | 29.8682i | 1.57773 | − | 1.07568i | ||||
\(772\) | 14.1678 | − | 6.82284i | 0.509909 | − | 0.245559i | ||||
\(773\) | 31.0614 | 1.11720 | 0.558600 | − | 0.829437i | \(-0.311339\pi\) | ||||
0.558600 | + | 0.829437i | \(0.311339\pi\) | |||||||
\(774\) | 71.9228 | + | 30.7478i | 2.58521 | + | 1.10521i | ||||
\(775\) | −13.0983 | −0.470505 | ||||||||
\(776\) | −15.9348 | + | 7.67379i | −0.572026 | + | 0.275473i | ||||
\(777\) | 16.8859 | − | 11.5126i | 0.605777 | − | 0.413012i | ||||
\(778\) | −0.972191 | + | 1.21909i | −0.0348547 | + | 0.0437064i | ||||
\(779\) | −14.9564 | − | 13.8775i | −0.535868 | − | 0.497213i | ||||
\(780\) | 33.7312 | − | 58.4241i | 1.20777 | − | 2.09192i | ||||
\(781\) | 5.01200 | + | 8.68104i | 0.179344 | + | 0.310632i | ||||
\(782\) | −2.01159 | + | 8.81337i | −0.0719345 | + | 0.315165i | ||||
\(783\) | 22.7302 | − | 57.9156i | 0.812311 | − | 2.06973i | ||||
\(784\) | 6.07454 | + | 1.87375i | 0.216948 | + | 0.0669195i | ||||
\(785\) | 6.20941 | + | 7.78636i | 0.221623 | + | 0.277907i | ||||
\(786\) | −5.71972 | + | 76.3243i | −0.204016 | + | 2.72240i | ||||
\(787\) | −10.8315 | + | 3.34108i | −0.386102 | + | 0.119097i | −0.481729 | − | 0.876321i | \(-0.659991\pi\) |
0.0956261 | + | 0.995417i | \(0.469515\pi\) | |||||||
\(788\) | 12.2045 | + | 8.32087i | 0.434767 | + | 0.296419i | ||||
\(789\) | −45.7432 | − | 6.89468i | −1.62850 | − | 0.245457i | ||||
\(790\) | 6.15711 | + | 26.9761i | 0.219060 | + | 0.959766i | ||||
\(791\) | −26.5961 | + | 24.6776i | −0.945650 | + | 0.877435i | ||||
\(792\) | 0.500153 | + | 6.67408i | 0.0177722 | + | 0.237153i | ||||
\(793\) | 8.86360 | + | 22.5841i | 0.314756 | + | 0.801985i | ||||
\(794\) | −17.9531 | + | 2.70599i | −0.637131 | + | 0.0960320i | ||||
\(795\) | 63.6649 | + | 30.6594i | 2.25796 | + | 1.08738i | ||||
\(796\) | −47.4332 | − | 22.8426i | −1.68123 | − | 0.809636i | ||||
\(797\) | 10.6905 | − | 1.61133i | 0.378675 | − | 0.0570761i | 0.0430532 | − | 0.999073i | \(-0.486292\pi\) |
0.335622 | + | 0.941997i | \(0.391053\pi\) | |||||||
\(798\) | 13.8092 | + | 35.1852i | 0.488840 | + | 1.24554i | ||||
\(799\) | 0.957367 | + | 12.7752i | 0.0338692 | + | 0.451953i | ||||
\(800\) | −13.7680 | + | 12.7748i | −0.486772 | + | 0.451658i | ||||
\(801\) | 2.53527 | + | 11.1078i | 0.0895794 | + | 0.392473i | ||||
\(802\) | 61.1305 | + | 9.21394i | 2.15859 | + | 0.325355i | ||||
\(803\) | −8.51096 | − | 5.80268i | −0.300345 | − | 0.204772i | ||||
\(804\) | 77.0103 | − | 23.7545i | 2.71594 | − | 0.837757i | ||||
\(805\) | 0.504896 | − | 6.73737i | 0.0177953 | − | 0.237461i | ||||
\(806\) | 22.7651 | + | 28.5465i | 0.801866 | + | 1.00551i | ||||
\(807\) | −29.4783 | − | 9.09284i | −1.03768 | − | 0.320083i | ||||
\(808\) | −1.36668 | + | 3.48224i | −0.0480796 | + | 0.122505i | ||||
\(809\) | 8.65541 | − | 37.9218i | 0.304308 | − | 1.33326i | −0.559245 | − | 0.829002i | \(-0.688909\pi\) |
0.863553 | − | 0.504258i | \(-0.168234\pi\) | |||||||
\(810\) | 14.3734 | + | 24.8954i | 0.505029 | + | 0.874736i | ||||
\(811\) | −2.39529 | + | 4.14876i | −0.0841100 | + | 0.145683i | −0.905012 | − | 0.425387i | \(-0.860138\pi\) |
0.820902 | + | 0.571070i | \(0.193471\pi\) | |||||||
\(812\) | −33.6570 | − | 31.2291i | −1.18113 | − | 1.09593i | ||||
\(813\) | 3.23063 | − | 4.05109i | 0.113303 | − | 0.142078i | ||||
\(814\) | 5.11931 | − | 3.49029i | 0.179432 | − | 0.122335i | ||||
\(815\) | −18.9524 | + | 9.12701i | −0.663875 | + | 0.319705i | ||||
\(816\) | 21.7422 | 0.761131 | ||||||||
\(817\) | 19.3180 | + | 2.03190i | 0.675851 | + | 0.0710871i | ||||
\(818\) | 22.9540 | 0.802569 | ||||||||
\(819\) | 31.7575 | − | 15.2936i | 1.10970 | − | 0.534401i | ||||
\(820\) | −41.6156 | + | 28.3730i | −1.45328 | + | 0.990828i | ||||
\(821\) | −32.6933 | + | 40.9962i | −1.14101 | + | 1.43078i | −0.255097 | + | 0.966915i | \(0.582107\pi\) |
−0.885908 | + | 0.463860i | \(0.846464\pi\) | |||||||
\(822\) | −27.5959 | − | 25.6053i | −0.962518 | − | 0.893086i | ||||
\(823\) | 4.68633 | − | 8.11696i | 0.163355 | − | 0.282940i | −0.772715 | − | 0.634753i | \(-0.781102\pi\) |
0.936070 | + | 0.351814i | \(0.114435\pi\) | |||||||
\(824\) | 5.77173 | + | 9.99693i | 0.201068 | + | 0.348260i | ||||
\(825\) | −1.31709 | + | 5.77056i | −0.0458553 | + | 0.200905i | ||||
\(826\) | 4.54836 | − | 11.5890i | 0.158258 | − | 0.403234i | ||||
\(827\) | −45.0728 | − | 13.9031i | −1.56733 | − | 0.483459i | −0.615003 | − | 0.788524i | \(-0.710845\pi\) |
−0.952331 | + | 0.305066i | \(0.901322\pi\) | |||||||
\(828\) | −11.2741 | − | 14.1373i | −0.391803 | − | 0.491306i | ||||
\(829\) | 0.496542 | − | 6.62590i | 0.0172456 | − | 0.230127i | −0.981920 | − | 0.189294i | \(-0.939380\pi\) |
0.999166 | − | 0.0408325i | \(-0.0130010\pi\) | |||||||
\(830\) | 26.9355 | − | 8.30849i | 0.934944 | − | 0.288392i | ||||
\(831\) | −4.50431 | − | 3.07099i | −0.156253 | − | 0.106531i | ||||
\(832\) | 38.1252 | + | 5.74645i | 1.32175 | + | 0.199222i | ||||
\(833\) | 2.21298 | + | 9.69568i | 0.0766751 | + | 0.335935i | ||||
\(834\) | −14.3848 | + | 13.3471i | −0.498104 | + | 0.462173i | ||||
\(835\) | −1.00405 | − | 13.3981i | −0.0347465 | − | 0.463660i | ||||
\(836\) | 2.39688 | + | 6.10716i | 0.0828979 | + | 0.211220i | ||||
\(837\) | −38.7421 | + | 5.83943i | −1.33912 | + | 0.201840i | ||||
\(838\) | −37.4114 | − | 18.0164i | −1.29235 | − | 0.622365i | ||||
\(839\) | 20.9640 | + | 10.0957i | 0.723757 | + | 0.348543i | 0.759226 | − | 0.650828i | \(-0.225578\pi\) |
−0.0354681 | + | 0.999371i | \(0.511292\pi\) | |||||||
\(840\) | 23.3746 | − | 3.52315i | 0.806500 | − | 0.121560i | ||||
\(841\) | 15.6685 | + | 39.9228i | 0.540294 | + | 1.37665i | ||||
\(842\) | 4.83202 | + | 64.4788i | 0.166522 | + | 2.22209i | ||||
\(843\) | −11.6554 | + | 10.8146i | −0.401432 | + | 0.372474i | ||||
\(844\) | −10.3810 | − | 45.4823i | −0.357330 | − | 1.56557i | ||||
\(845\) | 8.11101 | + | 1.22254i | 0.279027 | + | 0.0420566i | ||||
\(846\) | −36.9813 | − | 25.2134i | −1.27144 | − | 0.866856i | ||||
\(847\) | 19.9296 | − | 6.14747i | 0.684789 | − | 0.211230i | ||||
\(848\) | −1.44664 | + | 19.3040i | −0.0496777 | + | 0.662903i | ||||
\(849\) | −17.2322 | − | 21.6084i | −0.591406 | − | 0.741600i | ||||
\(850\) | −17.3117 | − | 5.33997i | −0.593788 | − | 0.183159i | ||||
\(851\) | −1.54933 | + | 3.94764i | −0.0531105 | + | 0.135323i | ||||
\(852\) | 21.0850 | − | 92.3796i | 0.722361 | − | 3.16487i | ||||
\(853\) | −22.6689 | − | 39.2637i | −0.776168 | − | 1.34436i | −0.934136 | − | 0.356918i | \(-0.883828\pi\) |
0.157968 | − | 0.987444i | \(-0.449506\pi\) | |||||||
\(854\) | −16.7783 | + | 29.0609i | −0.574142 | + | 0.994443i | ||||
\(855\) | 32.6925 | + | 30.3342i | 1.11806 | + | 1.03741i | ||||
\(856\) | 7.67496 | − | 9.62409i | 0.262325 | − | 0.328945i | ||||
\(857\) | 24.0494 | − | 16.3966i | 0.821511 | − | 0.560097i | −0.0780208 | − | 0.996952i | \(-0.524860\pi\) |
0.899532 | + | 0.436855i | \(0.143908\pi\) | |||||||
\(858\) | 14.8655 | − | 7.15886i | 0.507501 | − | 0.244400i | ||||
\(859\) | 34.6694 | 1.18290 | 0.591452 | − | 0.806340i | \(-0.298555\pi\) | ||||
0.591452 | + | 0.806340i | \(0.298555\pi\) | |||||||
\(860\) | 15.5021 | − | 45.3774i | 0.528618 | − | 1.54736i | ||||
\(861\) | −40.6322 | −1.38474 | ||||||||
\(862\) | 39.6421 | − | 19.0906i | 1.35022 | − | 0.650229i | ||||
\(863\) | −8.65784 | + | 5.90282i | −0.294716 | + | 0.200934i | −0.701647 | − | 0.712525i | \(-0.747552\pi\) |
0.406930 | + | 0.913459i | \(0.366599\pi\) | |||||||
\(864\) | −35.0276 | + | 43.9233i | −1.19166 | + | 1.49430i | ||||
\(865\) | 43.1523 | + | 40.0394i | 1.46722 | + | 1.36138i | ||||
\(866\) | −29.8399 | + | 51.6842i | −1.01400 | + | 1.75630i | ||||
\(867\) | −7.79589 | − | 13.5029i | −0.264762 | − | 0.458582i | ||||
\(868\) | −6.43380 | + | 28.1883i | −0.218377 | + | 0.956774i | ||||
\(869\) | −1.41548 | + | 3.60659i | −0.0480169 | + | 0.122345i | ||||
\(870\) | −139.606 | − | 43.0627i | −4.73309 | − | 1.45996i | ||||
\(871\) | −20.3248 | − | 25.4864i | −0.688678 | − | 0.863575i | ||||
\(872\) | 0.622188 | − | 8.30252i | 0.0210699 | − | 0.281159i | ||||
\(873\) | −63.4995 | + | 19.5870i | −2.14913 | + | 0.662919i | ||||
\(874\) | −6.48044 | − | 4.41829i | −0.219204 | − | 0.149451i | ||||
\(875\) | −13.8995 | − | 2.09501i | −0.469888 | − | 0.0708243i | ||||
\(876\) | 21.6674 | + | 94.9309i | 0.732072 | + | 3.20742i | ||||
\(877\) | 8.34914 | − | 7.74687i | 0.281930 | − | 0.261593i | −0.526513 | − | 0.850167i | \(-0.676501\pi\) |
0.808443 | + | 0.588574i | \(0.200310\pi\) | |||||||
\(878\) | 4.15165 | + | 55.3999i | 0.140111 | + | 1.86966i | ||||
\(879\) | −10.1939 | − | 25.9736i | −0.343831 | − | 0.876067i | ||||
\(880\) | −4.87138 | + | 0.734242i | −0.164214 | + | 0.0247513i | ||||
\(881\) | −5.10037 | − | 2.45621i | −0.171836 | − | 0.0827518i | 0.345988 | − | 0.938239i | \(-0.387544\pi\) |
−0.517824 | + | 0.855487i | \(0.673258\pi\) | |||||||
\(882\) | −31.3047 | − | 15.0756i | −1.05408 | − | 0.507620i | ||||
\(883\) | 15.4143 | − | 2.32333i | 0.518732 | − | 0.0781863i | 0.115542 | − | 0.993303i | \(-0.463139\pi\) |
0.403190 | + | 0.915116i | \(0.367901\pi\) | |||||||
\(884\) | 10.5631 | + | 26.9143i | 0.355275 | + | 0.905226i | ||||
\(885\) | −1.69489 | − | 22.6167i | −0.0569731 | − | 0.760253i | ||||
\(886\) | 0.441641 | − | 0.409783i | 0.0148372 | − | 0.0137669i | ||||
\(887\) | 3.43965 | + | 15.0701i | 0.115492 | + | 0.506004i | 0.999274 | + | 0.0381046i | \(0.0121320\pi\) |
−0.883782 | + | 0.467900i | \(0.845011\pi\) | |||||||
\(888\) | −14.6718 | − | 2.21142i | −0.492355 | − | 0.0742105i | ||||
\(889\) | −32.7243 | − | 22.3110i | −1.09754 | − | 0.748288i | ||||
\(890\) | 11.6579 | − | 3.59599i | 0.390774 | − | 0.120538i | ||||
\(891\) | −0.300804 | + | 4.01395i | −0.0100773 | + | 0.134473i | ||||
\(892\) | −25.2311 | − | 31.6388i | −0.844801 | − | 1.05935i | ||||
\(893\) | −10.6213 | − | 3.27622i | −0.355427 | − | 0.109635i | ||||
\(894\) | −3.71448 | + | 9.46435i | −0.124231 | + | 0.316535i | ||||
\(895\) | 10.2089 | − | 44.7282i | 0.341247 | − | 1.49510i | ||||
\(896\) | 11.1861 | + | 19.3749i | 0.373702 | + | 0.647272i | ||||
\(897\) | −5.64653 | + | 9.78007i | −0.188532 | + | 0.326547i | ||||
\(898\) | 21.4414 | + | 19.8947i | 0.715507 | + | 0.663894i | ||||
\(899\) | 28.2253 | − | 35.3934i | 0.941366 | − | 1.18044i | ||||
\(900\) | 29.9410 | − | 20.4135i | 0.998035 | − | 0.680449i | ||||
\(901\) | −27.2854 | + | 13.1400i | −0.909009 | + | 0.437756i | ||||
\(902\) | −12.3185 | −0.410163 | ||||||||
\(903\) | 30.9541 | − | 23.2011i | 1.03009 | − | 0.772083i | ||||
\(904\) | 26.3408 | 0.876081 | ||||||||
\(905\) | −1.98173 | + | 0.954352i | −0.0658750 | + | 0.0317237i | ||||
\(906\) | −23.1108 | + | 15.7567i | −0.767804 | + | 0.523480i | ||||
\(907\) | 30.3903 | − | 38.1082i | 1.00909 | − | 1.26536i | 0.0452260 | − | 0.998977i | \(-0.485599\pi\) |
0.963867 | − | 0.266385i | \(-0.0858294\pi\) | |||||||
\(908\) | 24.6220 | + | 22.8459i | 0.817110 | + | 0.758167i | ||||
\(909\) | −7.02761 | + | 12.1722i | −0.233091 | + | 0.403726i | ||||
\(910\) | −18.8716 | − | 32.6866i | −0.625588 | − | 1.08355i | ||||
\(911\) | 2.90180 | − | 12.7136i | 0.0961408 | − | 0.421220i | −0.903837 | − | 0.427877i | \(-0.859262\pi\) |
0.999978 | + | 0.00665648i | \(0.00211884\pi\) | |||||||
\(912\) | −6.89179 | + | 17.5600i | −0.228210 | + | 0.581470i | ||||
\(913\) | 3.77159 | + | 1.16338i | 0.124821 | + | 0.0385023i | ||||
\(914\) | 23.1927 | + | 29.0827i | 0.767146 | + | 0.961971i | ||||
\(915\) | −4.56839 | + | 60.9610i | −0.151026 | + | 2.01531i | ||||
\(916\) | 52.1042 | − | 16.0720i | 1.72157 | − | 0.531034i | ||||
\(917\) | 20.2559 | + | 13.8103i | 0.668910 | + | 0.456055i | ||||
\(918\) | −53.5852 | − | 8.07667i | −1.76857 | − | 0.266570i | ||||
\(919\) | −4.83091 | − | 21.1656i | −0.159357 | − | 0.698189i | −0.989963 | − | 0.141328i | \(-0.954863\pi\) |
0.830606 | − | 0.556861i | \(-0.187994\pi\) | |||||||
\(920\) | −3.59572 | + | 3.33634i | −0.118547 | + | 0.109996i | ||||
\(921\) | 3.90871 | + | 52.1581i | 0.128796 | + | 1.71867i | ||||
\(922\) | 2.56834 | + | 6.54403i | 0.0845839 | + | 0.215516i | ||||
\(923\) | −37.8998 | + | 5.71247i | −1.24749 | + | 0.188028i | ||||
\(924\) | 11.7716 | + | 5.66892i | 0.387259 | + | 0.186494i | ||||
\(925\) | −7.65710 | − | 3.68746i | −0.251764 | − | 0.121243i | ||||
\(926\) | 72.9968 | − | 11.0025i | 2.39882 | − | 0.361565i | ||||
\(927\) | 15.8454 | + | 40.3735i | 0.520433 | + | 1.32604i | ||||
\(928\) | −4.85093 | − | 64.7312i | −0.159240 | − | 2.12490i | ||||
\(929\) | 23.6472 | − | 21.9414i | 0.775839 | − | 0.719873i | −0.189212 | − | 0.981936i | \(-0.560593\pi\) |
0.965051 | + | 0.262063i | \(0.0844029\pi\) | |||||||
\(930\) | 20.4723 | + | 89.6951i | 0.671314 | + | 2.94122i | ||||
\(931\) | −8.53212 | − | 1.28601i | −0.279629 | − | 0.0421473i | ||||
\(932\) | −65.3499 | − | 44.5548i | −2.14061 | − | 1.45944i | ||||
\(933\) | −34.7680 | + | 10.7245i | −1.13825 | + | 0.351105i | ||||
\(934\) | 5.60508 | − | 74.7946i | 0.183404 | − | 2.44735i | ||||
\(935\) | −4.80525 | − | 6.02559i | −0.157148 | − | 0.197058i | ||||
\(936\) | −24.4537 | − | 7.54297i | −0.799294 | − | 0.246550i | ||||
\(937\) | −4.03376 | + | 10.2779i | −0.131777 | + | 0.335763i | −0.981499 | − | 0.191469i | \(-0.938675\pi\) |
0.849721 | + | 0.527232i | \(0.176770\pi\) | |||||||
\(938\) | 10.0331 | − | 43.9577i | 0.327591 | − | 1.43527i | ||||
\(939\) | 38.2066 | + | 66.1758i | 1.24683 | + | 2.15957i | ||||
\(940\) | −13.7196 | + | 23.7630i | −0.447483 | + | 0.775063i | ||||
\(941\) | 24.4771 | + | 22.7114i | 0.797931 | + | 0.740372i | 0.969577 | − | 0.244787i | \(-0.0787180\pi\) |
−0.171646 | + | 0.985159i | \(0.554908\pi\) | |||||||
\(942\) | 14.3556 | − | 18.0014i | 0.467731 | − | 0.586516i | ||||
\(943\) | 6.96635 | − | 4.74958i | 0.226856 | − | 0.154668i | ||||
\(944\) | 5.59796 | − | 2.69584i | 0.182198 | − | 0.0877420i | ||||
\(945\) | 40.5005 | 1.31748 | ||||||||
\(946\) | 9.38439 | − | 7.03391i | 0.305113 | − | 0.228692i | ||||
\(947\) | 14.9637 | 0.486256 | 0.243128 | − | 0.969994i | \(-0.421827\pi\) | ||||
0.243128 | + | 0.969994i | \(0.421827\pi\) | |||||||
\(948\) | 32.9972 | − | 15.8906i | 1.07170 | − | 0.516104i | ||||
\(949\) | 32.5426 | − | 22.1872i | 1.05638 | − | 0.720226i | ||||
\(950\) | 9.80022 | − | 12.2891i | 0.317961 | − | 0.398711i | ||||
\(951\) | 19.3592 | + | 17.9627i | 0.627764 | + | 0.582480i | ||||
\(952\) | −5.06551 | + | 8.77372i | −0.164174 | + | 0.284358i | ||||
\(953\) | −10.3374 | − | 17.9049i | −0.334862 | − | 0.579997i | 0.648597 | − | 0.761132i | \(-0.275356\pi\) |
−0.983458 | + | 0.181135i | \(0.942023\pi\) | |||||||
\(954\) | 23.5443 | − | 103.154i | 0.762274 | − | 3.33974i | ||||
\(955\) | −11.5428 | + | 29.4106i | −0.373517 | + | 0.951706i | ||||
\(956\) | −61.7033 | − | 19.0330i | −1.99563 | − | 0.615570i | ||||
\(957\) | −12.7547 | − | 15.9938i | −0.412300 | − | 0.517007i | ||||
\(958\) | −1.24850 | + | 16.6600i | −0.0403371 | + | 0.538261i | ||||
\(959\) | −11.5224 | + | 3.55418i | −0.372077 | + | 0.114770i | ||||
\(960\) | 80.2698 | + | 54.7270i | 2.59070 | + | 1.76631i | ||||
\(961\) | 2.46429 | + | 0.371432i | 0.0794932 | + | 0.0119817i | ||||
\(962\) | 5.27169 | + | 23.0968i | 0.169966 | + | 0.744671i | ||||
\(963\) | 33.9040 | − | 31.4583i | 1.09254 | − | 1.01373i | ||||
\(964\) | −1.18773 | − | 15.8491i | −0.0382542 | − | 0.510466i | ||||
\(965\) | −5.85542 | − | 14.9194i | −0.188492 | − | 0.480271i | ||||
\(966\) | −15.4454 | + | 2.32802i | −0.496948 | + | 0.0749029i | ||||
\(967\) | 9.85181 | + | 4.74438i | 0.316813 | + | 0.152569i | 0.585531 | − | 0.810650i | \(-0.300886\pi\) |
−0.268719 | + | 0.963219i | \(0.586600\pi\) | |||||||
\(968\) | −13.6424 | − | 6.56981i | −0.438482 | − | 0.211162i | ||||
\(969\) | −29.1818 | + | 4.39845i | −0.937455 | + | 0.141299i | ||||
\(970\) | 25.9961 | + | 66.2370i | 0.834684 | + | 2.12674i | ||||
\(971\) | −1.61481 | − | 21.5482i | −0.0518218 | − | 0.691513i | −0.961255 | − | 0.275662i | \(-0.911103\pi\) |
0.909433 | − | 0.415851i | \(-0.136516\pi\) | |||||||
\(972\) | −15.3330 | + | 14.2269i | −0.491805 | + | 0.456328i | ||||
\(973\) | 1.39864 | + | 6.12785i | 0.0448384 | + | 0.196450i | ||||
\(974\) | −49.3645 | − | 7.44050i | −1.58174 | − | 0.238409i | ||||
\(975\) | −18.6993 | − | 12.7489i | −0.598856 | − | 0.408293i | ||||
\(976\) | −16.0032 | + | 4.93632i | −0.512249 | + | 0.158008i | ||||
\(977\) | 0.119768 | − | 1.59820i | 0.00383172 | − | 0.0511308i | −0.994960 | − | 0.100271i | \(-0.968029\pi\) |
0.998792 | + | 0.0491401i | \(0.0156481\pi\) | |||||||
\(978\) | 30.3218 | + | 38.0224i | 0.969586 | + | 1.21582i | ||||
\(979\) | 1.63238 | + | 0.503521i | 0.0521710 | + | 0.0160926i | ||||
\(980\) | −7.78201 | + | 19.8282i | −0.248587 | + | 0.633390i | ||||
\(981\) | 6.96092 | − | 30.4978i | 0.222245 | − | 0.973719i | ||||
\(982\) | −10.6665 | − | 18.4749i | −0.340382 | − | 0.589558i | ||||
\(983\) | 0.512227 | − | 0.887204i | 0.0163375 | − | 0.0282974i | −0.857741 | − | 0.514082i | \(-0.828133\pi\) |
0.874079 | + | 0.485785i | \(0.161466\pi\) | |||||||
\(984\) | 21.6247 | + | 20.0648i | 0.689371 | + | 0.639642i | ||||
\(985\) | 9.38665 | − | 11.7705i | 0.299083 | − | 0.375039i | ||||
\(986\) | 51.7341 | − | 35.2717i | 1.64755 | − | 1.12328i | ||||
\(987\) | −19.9435 | + | 9.60427i | −0.634808 | + | 0.305707i | ||||
\(988\) | −25.0854 | −0.798074 | ||||||||
\(989\) | −2.59502 | + | 7.59608i | −0.0825169 | + | 0.241541i | ||||
\(990\) | 26.9265 | 0.855782 | ||||||||
\(991\) | −13.1752 | + | 6.34486i | −0.418525 | + | 0.201551i | −0.631281 | − | 0.775554i | \(-0.717470\pi\) |
0.212756 | + | 0.977105i | \(0.431756\pi\) | |||||||
\(992\) | −33.7747 | + | 23.0272i | −1.07235 | + | 0.731114i | ||||
\(993\) | 6.35870 | − | 7.97355i | 0.201787 | − | 0.253033i | ||||
\(994\) | −38.8611 | − | 36.0579i | −1.23260 | − | 1.14369i | ||||
\(995\) | −26.8294 | + | 46.4698i | −0.850548 | + | 1.47319i | ||||
\(996\) | −18.6549 | − | 32.3112i | −0.591102 | − | 1.02382i | ||||
\(997\) | −0.782739 | + | 3.42941i | −0.0247896 | + | 0.108610i | −0.985809 | − | 0.167870i | \(-0.946311\pi\) |
0.961019 | + | 0.276481i | \(0.0891682\pi\) | |||||||
\(998\) | 32.6737 | − | 83.2514i | 1.03427 | − | 2.63528i | ||||
\(999\) | −24.2920 | − | 7.49310i | −0.768566 | − | 0.237071i |
(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 | 43.2.g.a.31.3 | yes | 36 | |
3.2 | odd | 2 | 387.2.y.c.289.1 | 36 | |||
4.3 | odd | 2 | 688.2.bg.c.289.3 | 36 | |||
43.5 | odd | 42 | 1849.2.a.o.1.15 | 18 | |||
43.25 | even | 21 | inner | 43.2.g.a.25.3 | ✓ | 36 | |
43.38 | even | 21 | 1849.2.a.n.1.4 | 18 | |||
129.68 | odd | 42 | 387.2.y.c.154.1 | 36 | |||
172.111 | odd | 42 | 688.2.bg.c.369.3 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.2.g.a.25.3 | ✓ | 36 | 43.25 | even | 21 | inner | |
43.2.g.a.31.3 | yes | 36 | 1.1 | even | 1 | trivial | |
387.2.y.c.154.1 | 36 | 129.68 | odd | 42 | |||
387.2.y.c.289.1 | 36 | 3.2 | odd | 2 | |||
688.2.bg.c.289.3 | 36 | 4.3 | odd | 2 | |||
688.2.bg.c.369.3 | 36 | 172.111 | odd | 42 | |||
1849.2.a.n.1.4 | 18 | 43.38 | even | 21 | |||
1849.2.a.o.1.15 | 18 | 43.5 | odd | 42 |