Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [165,2,Mod(29,165)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(165, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("165.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 165 = 3 \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 165.r (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.31753163335\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 29.13 | ||
Character | \(\chi\) | \(=\) | 165.29 |
Dual form | 165.2.r.a.74.13 |
$q$-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 \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(67\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.413334 | − | 0.568905i | 0.292271 | − | 0.402277i | −0.637479 | − | 0.770468i | \(-0.720023\pi\) |
0.929750 | + | 0.368191i | \(0.120023\pi\) | |||||||
\(3\) | −1.71421 | − | 0.247937i | −0.989702 | − | 0.143146i | ||||
\(4\) | 0.465226 | + | 1.43182i | 0.232613 | + | 0.715909i | ||||
\(5\) | −1.55748 | + | 1.60445i | −0.696527 | + | 0.717531i | ||||
\(6\) | −0.849595 | + | 0.872744i | −0.346846 | + | 0.356296i | ||||
\(7\) | 0.615368 | + | 1.89391i | 0.232587 | + | 0.715830i | 0.997432 | + | 0.0716158i | \(0.0228155\pi\) |
−0.764845 | + | 0.644214i | \(0.777184\pi\) | |||||||
\(8\) | 2.34444 | + | 0.761754i | 0.828884 | + | 0.269321i | ||||
\(9\) | 2.87705 | + | 0.850033i | 0.959018 | + | 0.283344i | ||||
\(10\) | 0.269018 | + | 1.54923i | 0.0850711 | + | 0.489910i | ||||
\(11\) | −3.26241 | + | 0.597209i | −0.983655 | + | 0.180065i | ||||
\(12\) | −0.442496 | − | 2.56979i | −0.127738 | − | 0.741834i | ||||
\(13\) | 3.43403 | + | 2.49497i | 0.952429 | + | 0.691980i | 0.951380 | − | 0.308019i | \(-0.0996660\pi\) |
0.00104920 | + | 0.999999i | \(0.499666\pi\) | |||||||
\(14\) | 1.33181 | + | 0.432730i | 0.355940 | + | 0.115652i | ||||
\(15\) | 3.06766 | − | 2.36421i | 0.792066 | − | 0.610436i | ||||
\(16\) | −1.03355 | + | 0.750920i | −0.258388 | + | 0.187730i | ||||
\(17\) | −2.51291 | − | 3.45873i | −0.609471 | − | 0.838864i | 0.387063 | − | 0.922053i | \(-0.373490\pi\) |
−0.996534 | + | 0.0831888i | \(0.973490\pi\) | |||||||
\(18\) | 1.67277 | − | 1.28542i | 0.394276 | − | 0.302977i | ||||
\(19\) | 0.257486 | + | 0.0836623i | 0.0590714 | + | 0.0191935i | 0.338404 | − | 0.941001i | \(-0.390113\pi\) |
−0.279332 | + | 0.960195i | \(0.590113\pi\) | |||||||
\(20\) | −3.02186 | − | 1.48360i | −0.675708 | − | 0.331743i | ||||
\(21\) | −0.585303 | − | 3.39914i | −0.127724 | − | 0.741752i | ||||
\(22\) | −1.00871 | + | 2.10285i | −0.215058 | + | 0.448329i | ||||
\(23\) | 4.30856 | 0.898397 | 0.449198 | − | 0.893432i | \(-0.351710\pi\) | ||||
0.449198 | + | 0.893432i | \(0.351710\pi\) | |||||||
\(24\) | −3.83000 | − | 1.88708i | −0.781795 | − | 0.385199i | ||||
\(25\) | −0.148502 | − | 4.99779i | −0.0297003 | − | 0.999559i | ||||
\(26\) | 2.83880 | − | 0.922383i | 0.556735 | − | 0.180894i | ||||
\(27\) | −4.72113 | − | 2.17047i | −0.908582 | − | 0.417706i | ||||
\(28\) | −2.42545 | + | 1.76219i | −0.458366 | + | 0.333023i | ||||
\(29\) | 2.26468 | + | 6.96997i | 0.420540 | + | 1.29429i | 0.907200 | + | 0.420699i | \(0.138215\pi\) |
−0.486660 | + | 0.873591i | \(0.661785\pi\) | |||||||
\(30\) | −0.0770436 | − | 2.72241i | −0.0140662 | − | 0.497042i | ||||
\(31\) | −5.24479 | − | 3.81056i | −0.941992 | − | 0.684397i | 0.00690742 | − | 0.999976i | \(-0.497801\pi\) |
−0.948899 | + | 0.315579i | \(0.897801\pi\) | |||||||
\(32\) | 5.82855i | 1.03035i | ||||||||
\(33\) | 5.74054 | − | 0.214872i | 0.999300 | − | 0.0374044i | ||||
\(34\) | −3.00636 | −0.515586 | ||||||||
\(35\) | −3.99710 | − | 1.96240i | −0.675633 | − | 0.331707i | ||||
\(36\) | 0.121388 | + | 4.51488i | 0.0202313 | + | 0.752479i | ||||
\(37\) | 5.66863 | − | 1.84185i | 0.931917 | − | 0.302798i | 0.196571 | − | 0.980490i | \(-0.437020\pi\) |
0.735346 | + | 0.677692i | \(0.237020\pi\) | |||||||
\(38\) | 0.154024 | − | 0.111905i | 0.0249859 | − | 0.0181533i | ||||
\(39\) | −5.26807 | − | 5.12834i | −0.843566 | − | 0.821191i | ||||
\(40\) | −4.87361 | + | 2.57511i | −0.770586 | + | 0.407160i | ||||
\(41\) | 2.95108 | − | 9.08248i | 0.460881 | − | 1.41844i | −0.403210 | − | 0.915108i | \(-0.632105\pi\) |
0.864090 | − | 0.503337i | \(-0.167895\pi\) | |||||||
\(42\) | −2.17571 | − | 1.07200i | −0.335719 | − | 0.165413i | ||||
\(43\) | −1.68949 | −0.257645 | −0.128822 | − | 0.991668i | \(-0.541120\pi\) | ||||
−0.128822 | + | 0.991668i | \(0.541120\pi\) | |||||||
\(44\) | −2.37285 | − | 4.39334i | −0.357721 | − | 0.662322i | ||||
\(45\) | −5.84479 | + | 3.29217i | −0.871290 | + | 0.490768i | ||||
\(46\) | 1.78087 | − | 2.45116i | 0.262575 | − | 0.361404i | ||||
\(47\) | 0.0723398 | − | 0.222639i | 0.0105518 | − | 0.0324752i | −0.945642 | − | 0.325210i | \(-0.894565\pi\) |
0.956194 | + | 0.292734i | \(0.0945652\pi\) | |||||||
\(48\) | 1.95791 | − | 1.03098i | 0.282600 | − | 0.148809i | ||||
\(49\) | 2.45491 | − | 1.78359i | 0.350701 | − | 0.254799i | ||||
\(50\) | −2.90465 | − | 1.98127i | −0.410780 | − | 0.280194i | ||||
\(51\) | 3.45012 | + | 6.55204i | 0.483114 | + | 0.917469i | ||||
\(52\) | −1.97474 | + | 6.07763i | −0.273848 | + | 0.842816i | ||||
\(53\) | 5.61095 | + | 4.07659i | 0.770723 | + | 0.559963i | 0.902180 | − | 0.431359i | \(-0.141966\pi\) |
−0.131458 | + | 0.991322i | \(0.541966\pi\) | |||||||
\(54\) | −3.18619 | + | 1.78875i | −0.433586 | + | 0.243418i | ||||
\(55\) | 4.12296 | − | 6.16451i | 0.555940 | − | 0.831223i | ||||
\(56\) | 4.90891i | 0.655981i | ||||||||
\(57\) | −0.420643 | − | 0.207255i | −0.0557156 | − | 0.0274516i | ||||
\(58\) | 4.90132 | + | 1.59253i | 0.643574 | + | 0.209110i | ||||
\(59\) | 10.0360 | − | 3.26089i | 1.30657 | − | 0.424531i | 0.428710 | − | 0.903442i | \(-0.358968\pi\) |
0.877864 | + | 0.478911i | \(0.158968\pi\) | |||||||
\(60\) | 4.81227 | + | 3.29244i | 0.621261 | + | 0.425052i | ||||
\(61\) | 5.68030 | + | 7.81826i | 0.727288 | + | 1.00103i | 0.999250 | + | 0.0387180i | \(0.0123274\pi\) |
−0.271962 | + | 0.962308i | \(0.587673\pi\) | |||||||
\(62\) | −4.33570 | + | 1.40875i | −0.550634 | + | 0.178912i | ||||
\(63\) | 0.160564 | + | 5.97196i | 0.0202291 | + | 0.752396i | ||||
\(64\) | 1.24878 | + | 0.907295i | 0.156098 | + | 0.113412i | ||||
\(65\) | −9.35149 | + | 1.62385i | −1.15991 | + | 0.201414i | ||||
\(66\) | 2.25052 | − | 3.35464i | 0.277020 | − | 0.412927i | ||||
\(67\) | − | 0.901700i | − | 0.110160i | −0.998482 | − | 0.0550801i | \(-0.982459\pi\) | ||
0.998482 | − | 0.0550801i | \(-0.0175414\pi\) | |||||||
\(68\) | 3.78319 | − | 5.20712i | 0.458780 | − | 0.631456i | ||||
\(69\) | −7.38579 | − | 1.06825i | −0.889145 | − | 0.128602i | ||||
\(70\) | −2.76856 | + | 1.46284i | −0.330906 | + | 0.174843i | ||||
\(71\) | −0.309146 | − | 0.425503i | −0.0366889 | − | 0.0504979i | 0.790278 | − | 0.612748i | \(-0.209936\pi\) |
−0.826967 | + | 0.562250i | \(0.809936\pi\) | |||||||
\(72\) | 6.09756 | + | 4.18446i | 0.718604 | + | 0.493143i | ||||
\(73\) | −3.18366 | − | 9.79830i | −0.372619 | − | 1.14680i | −0.945071 | − | 0.326866i | \(-0.894008\pi\) |
0.572451 | − | 0.819939i | \(-0.305992\pi\) | |||||||
\(74\) | 1.29520 | − | 3.98621i | 0.150564 | − | 0.463387i | ||||
\(75\) | −0.984573 | + | 8.60410i | −0.113689 | + | 0.993516i | ||||
\(76\) | 0.407595i | 0.0467544i | ||||||||
\(77\) | −3.13864 | − | 5.81121i | −0.357682 | − | 0.662249i | ||||
\(78\) | −5.09501 | + | 0.877318i | −0.576896 | + | 0.0993367i | ||||
\(79\) | 0.132574 | − | 0.182473i | 0.0149158 | − | 0.0205298i | −0.801494 | − | 0.598003i | \(-0.795961\pi\) |
0.816410 | + | 0.577473i | \(0.195961\pi\) | |||||||
\(80\) | 0.404928 | − | 2.82783i | 0.0452723 | − | 0.316161i | ||||
\(81\) | 7.55489 | + | 4.89118i | 0.839432 | + | 0.543465i | ||||
\(82\) | −3.94729 | − | 5.43298i | −0.435905 | − | 0.599972i | ||||
\(83\) | −1.18199 | − | 1.62687i | −0.129740 | − | 0.178572i | 0.739205 | − | 0.673480i | \(-0.235201\pi\) |
−0.868945 | + | 0.494909i | \(0.835201\pi\) | |||||||
\(84\) | 4.59464 | − | 2.41941i | 0.501317 | − | 0.263980i | ||||
\(85\) | 9.46316 | + | 1.35507i | 1.02642 | + | 0.146978i | ||||
\(86\) | −0.698323 | + | 0.961159i | −0.0753021 | + | 0.103644i | ||||
\(87\) | −2.15403 | − | 12.5095i | −0.230937 | − | 1.34116i | ||||
\(88\) | −8.10345 | − | 1.08504i | −0.863831 | − | 0.115665i | ||||
\(89\) | 15.8563i | 1.68076i | 0.541995 | + | 0.840382i | \(0.317669\pi\) | ||||
−0.541995 | + | 0.840382i | \(0.682331\pi\) | |||||||
\(90\) | −0.542917 | + | 4.68590i | −0.0572285 | + | 0.493937i | ||||
\(91\) | −2.61205 | + | 8.03907i | −0.273817 | + | 0.842724i | ||||
\(92\) | 2.00445 | + | 6.16907i | 0.208979 | + | 0.643170i | ||||
\(93\) | 8.04591 | + | 7.83249i | 0.834322 | + | 0.812192i | ||||
\(94\) | −0.0967600 | − | 0.133179i | −0.00998003 | − | 0.0137363i | ||||
\(95\) | −0.535262 | + | 0.282820i | −0.0549167 | + | 0.0290168i | ||||
\(96\) | 1.44511 | − | 9.99138i | 0.147491 | − | 1.01974i | ||||
\(97\) | −1.94083 | + | 2.67133i | −0.197062 | + | 0.271232i | −0.896100 | − | 0.443852i | \(-0.853612\pi\) |
0.699038 | + | 0.715084i | \(0.253612\pi\) | |||||||
\(98\) | − | 2.13383i | − | 0.215549i | ||||||
\(99\) | −9.89379 | − | 1.05496i | −0.994363 | − | 0.106027i | ||||
\(100\) | 7.08684 | − | 2.53773i | 0.708684 | − | 0.253773i | ||||
\(101\) | −1.38290 | − | 1.00474i | −0.137604 | − | 0.0999752i | 0.516854 | − | 0.856074i | \(-0.327103\pi\) |
−0.654458 | + | 0.756098i | \(0.727103\pi\) | |||||||
\(102\) | 5.15354 | + | 0.745387i | 0.510276 | + | 0.0738043i | ||||
\(103\) | −5.63920 | + | 1.83229i | −0.555647 | + | 0.180541i | −0.573361 | − | 0.819303i | \(-0.694361\pi\) |
0.0177148 | + | 0.999843i | \(0.494361\pi\) | |||||||
\(104\) | 6.15032 | + | 8.46519i | 0.603089 | + | 0.830080i | ||||
\(105\) | 6.36533 | + | 4.35500i | 0.621193 | + | 0.425005i | ||||
\(106\) | 4.63839 | − | 1.50710i | 0.450520 | − | 0.146383i | ||||
\(107\) | −3.00951 | − | 0.977849i | −0.290940 | − | 0.0945322i | 0.159911 | − | 0.987131i | \(-0.448879\pi\) |
−0.450851 | + | 0.892599i | \(0.648879\pi\) | |||||||
\(108\) | 0.911318 | − | 7.76956i | 0.0876917 | − | 0.747626i | ||||
\(109\) | − | 3.60358i | − | 0.345160i | −0.984996 | − | 0.172580i | \(-0.944790\pi\) | ||
0.984996 | − | 0.172580i | \(-0.0552103\pi\) | |||||||
\(110\) | −1.80286 | − | 4.89357i | −0.171896 | − | 0.466584i | ||||
\(111\) | −10.1739 | + | 1.75186i | −0.965664 | + | 0.166279i | ||||
\(112\) | −2.05819 | − | 1.49536i | −0.194481 | − | 0.141298i | ||||
\(113\) | −2.37599 | + | 7.31255i | −0.223515 | + | 0.687907i | 0.774924 | + | 0.632054i | \(0.217788\pi\) |
−0.998439 | + | 0.0558532i | \(0.982212\pi\) | |||||||
\(114\) | −0.291775 | + | 0.153640i | −0.0273272 | + | 0.0143897i | ||||
\(115\) | −6.71050 | + | 6.91286i | −0.625758 | + | 0.644627i | ||||
\(116\) | −8.92613 | + | 6.48522i | −0.828771 | + | 0.602137i | ||||
\(117\) | 7.75909 | + | 10.0972i | 0.717328 | + | 0.933487i | ||||
\(118\) | 2.29307 | − | 7.05735i | 0.211095 | − | 0.649682i | ||||
\(119\) | 5.00415 | − | 6.88762i | 0.458729 | − | 0.631387i | ||||
\(120\) | 8.99288 | − | 3.20594i | 0.820934 | − | 0.292661i | ||||
\(121\) | 10.2867 | − | 3.89669i | 0.935153 | − | 0.354244i | ||||
\(122\) | 6.79571 | 0.615254 | ||||||||
\(123\) | −7.31065 | + | 14.8376i | −0.659179 | + | 1.33786i | ||||
\(124\) | 3.01602 | − | 9.28235i | 0.270847 | − | 0.833580i | ||||
\(125\) | 8.24999 | + | 7.54571i | 0.737901 | + | 0.674909i | ||||
\(126\) | 3.46385 | + | 2.37707i | 0.308584 | + | 0.211766i | ||||
\(127\) | 8.13967 | − | 5.91381i | 0.722279 | − | 0.524766i | −0.164833 | − | 0.986322i | \(-0.552708\pi\) |
0.887111 | + | 0.461555i | \(0.152708\pi\) | |||||||
\(128\) | −10.0542 | + | 3.26682i | −0.888677 | + | 0.288749i | ||||
\(129\) | 2.89614 | + | 0.418886i | 0.254991 | + | 0.0368809i | ||||
\(130\) | −2.94147 | + | 5.99130i | −0.257984 | + | 0.525472i | ||||
\(131\) | −15.8485 | −1.38469 | −0.692345 | − | 0.721567i | \(-0.743422\pi\) | ||||
−0.692345 | + | 0.721567i | \(0.743422\pi\) | |||||||
\(132\) | 2.97831 | + | 8.11945i | 0.259228 | + | 0.706707i | ||||
\(133\) | 0.539138i | 0.0467492i | ||||||||
\(134\) | −0.512982 | − | 0.372703i | −0.0443149 | − | 0.0321966i | ||||
\(135\) | 10.8355 | − | 4.19435i | 0.932569 | − | 0.360992i | ||||
\(136\) | −3.25667 | − | 10.0230i | −0.279257 | − | 0.859464i | ||||
\(137\) | 10.2568 | − | 7.45199i | 0.876296 | − | 0.636667i | −0.0559727 | − | 0.998432i | \(-0.517826\pi\) |
0.932269 | + | 0.361766i | \(0.117826\pi\) | |||||||
\(138\) | −3.66053 | + | 3.76027i | −0.311605 | + | 0.320095i | ||||
\(139\) | −14.4997 | + | 4.71125i | −1.22985 | + | 0.399603i | −0.850661 | − | 0.525715i | \(-0.823798\pi\) |
−0.379192 | + | 0.925318i | \(0.623798\pi\) | |||||||
\(140\) | 0.950248 | − | 6.63608i | 0.0803106 | − | 0.560851i | ||||
\(141\) | −0.179206 | + | 0.363715i | −0.0150919 | + | 0.0306303i | ||||
\(142\) | −0.369851 | −0.0310372 | ||||||||
\(143\) | −12.6933 | − | 6.08879i | −1.06146 | − | 0.509170i | ||||
\(144\) | −3.61190 | + | 1.28188i | −0.300991 | + | 0.106824i | ||||
\(145\) | −14.7101 | − | 7.22204i | −1.22161 | − | 0.599757i | ||||
\(146\) | −6.89022 | − | 2.23877i | −0.570238 | − | 0.185282i | ||||
\(147\) | −4.65045 | + | 2.44880i | −0.383563 | + | 0.201974i | ||||
\(148\) | 5.27438 | + | 7.25957i | 0.433552 | + | 0.596733i | ||||
\(149\) | 7.06258 | − | 5.13126i | 0.578589 | − | 0.420370i | −0.259626 | − | 0.965709i | \(-0.583599\pi\) |
0.838215 | + | 0.545340i | \(0.183599\pi\) | |||||||
\(150\) | 4.48796 | + | 4.11650i | 0.366440 | + | 0.336110i | ||||
\(151\) | −17.9932 | − | 5.84634i | −1.46426 | − | 0.475768i | −0.534895 | − | 0.844919i | \(-0.679649\pi\) |
−0.929370 | + | 0.369150i | \(0.879649\pi\) | |||||||
\(152\) | 0.539930 | + | 0.392282i | 0.0437941 | + | 0.0318183i | ||||
\(153\) | −4.28975 | − | 12.0870i | −0.346806 | − | 0.977176i | ||||
\(154\) | −4.60333 | − | 0.616378i | −0.370947 | − | 0.0496691i | ||||
\(155\) | 14.2825 | − | 2.48011i | 1.14720 | − | 0.199207i | ||||
\(156\) | 4.89200 | − | 9.92875i | 0.391673 | − | 0.794936i | ||||
\(157\) | −13.5930 | − | 4.41663i | −1.08484 | − | 0.352486i | −0.288589 | − | 0.957453i | \(-0.593186\pi\) |
−0.796250 | + | 0.604968i | \(0.793186\pi\) | |||||||
\(158\) | −0.0490124 | − | 0.150845i | −0.00389921 | − | 0.0120005i | ||||
\(159\) | −8.60762 | − | 8.37931i | −0.682629 | − | 0.664522i | ||||
\(160\) | −9.35160 | − | 9.07786i | −0.739309 | − | 0.717668i | ||||
\(161\) | 2.65135 | + | 8.16002i | 0.208956 | + | 0.643100i | ||||
\(162\) | 5.90531 | − | 2.27632i | 0.463965 | − | 0.178845i | ||||
\(163\) | 13.2562 | − | 18.2456i | 1.03831 | − | 1.42910i | 0.139780 | − | 0.990183i | \(-0.455360\pi\) |
0.898525 | − | 0.438922i | \(-0.144640\pi\) | |||||||
\(164\) | 14.3774 | 1.12268 | ||||||||
\(165\) | −8.59604 | + | 9.54506i | −0.669201 | + | 0.743082i | ||||
\(166\) | −1.41409 | −0.109754 | ||||||||
\(167\) | 3.15252 | − | 4.33906i | 0.243949 | − | 0.335767i | −0.669432 | − | 0.742874i | \(-0.733462\pi\) |
0.913381 | + | 0.407107i | \(0.133462\pi\) | |||||||
\(168\) | 1.21710 | − | 8.41492i | 0.0939012 | − | 0.649225i | ||||
\(169\) | 1.55048 | + | 4.77189i | 0.119268 | + | 0.367069i | ||||
\(170\) | 4.68235 | − | 4.82354i | 0.359120 | − | 0.369949i | ||||
\(171\) | 0.669686 | + | 0.459573i | 0.0512122 | + | 0.0351444i | ||||
\(172\) | −0.785994 | − | 2.41904i | −0.0599315 | − | 0.184450i | ||||
\(173\) | −15.5063 | − | 5.03829i | −1.17892 | − | 0.383054i | −0.346954 | − | 0.937882i | \(-0.612784\pi\) |
−0.831965 | + | 0.554828i | \(0.812784\pi\) | |||||||
\(174\) | −8.00706 | − | 3.94516i | −0.607013 | − | 0.299082i | ||||
\(175\) | 9.37398 | − | 3.35673i | 0.708606 | − | 0.253745i | ||||
\(176\) | 2.92342 | − | 3.06706i | 0.220361 | − | 0.231188i | ||||
\(177\) | −18.0123 | + | 3.10157i | −1.35389 | + | 0.233128i | ||||
\(178\) | 9.02072 | + | 6.55394i | 0.676132 | + | 0.491239i | ||||
\(179\) | 0.255080 | + | 0.0828804i | 0.0190655 | + | 0.00619477i | 0.318534 | − | 0.947911i | \(-0.396809\pi\) |
−0.299469 | + | 0.954106i | \(0.596809\pi\) | |||||||
\(180\) | −7.43294 | − | 6.83708i | −0.554019 | − | 0.509606i | ||||
\(181\) | −0.172984 | + | 0.125680i | −0.0128578 | + | 0.00934174i | −0.594196 | − | 0.804321i | \(-0.702529\pi\) |
0.581338 | + | 0.813662i | \(0.302529\pi\) | |||||||
\(182\) | 3.49382 | + | 4.80883i | 0.258979 | + | 0.356454i | ||||
\(183\) | −7.79881 | − | 14.8105i | −0.576505 | − | 1.09483i | ||||
\(184\) | 10.1012 | + | 3.28206i | 0.744667 | + | 0.241957i | ||||
\(185\) | −5.87364 | + | 11.9637i | −0.431838 | + | 0.879586i | ||||
\(186\) | 7.78159 | − | 1.33993i | 0.570574 | − | 0.0982481i | ||||
\(187\) | 10.2637 | + | 9.78306i | 0.750559 | + | 0.715408i | ||||
\(188\) | 0.352433 | 0.0257038 | ||||||||
\(189\) | 1.20543 | − | 10.2770i | 0.0876820 | − | 0.747544i | ||||
\(190\) | −0.0603438 | + | 0.421412i | −0.00437780 | + | 0.0305725i | ||||
\(191\) | 3.78974 | − | 1.23136i | 0.274216 | − | 0.0890981i | −0.168681 | − | 0.985671i | \(-0.553951\pi\) |
0.442897 | + | 0.896573i | \(0.353951\pi\) | |||||||
\(192\) | −1.91573 | − | 1.86492i | −0.138256 | − | 0.134589i | ||||
\(193\) | −13.1028 | + | 9.51974i | −0.943160 | + | 0.685246i | −0.949179 | − | 0.314736i | \(-0.898084\pi\) |
0.00601903 | + | 0.999982i | \(0.498084\pi\) | |||||||
\(194\) | 0.717520 | + | 2.20830i | 0.0515149 | + | 0.158547i | ||||
\(195\) | 16.4331 | − | 0.465052i | 1.17680 | − | 0.0333031i | ||||
\(196\) | 3.69587 | + | 2.68521i | 0.263991 | + | 0.191800i | ||||
\(197\) | 5.69572i | 0.405803i | 0.979199 | + | 0.202902i | \(0.0650371\pi\) | ||||
−0.979199 | + | 0.202902i | \(0.934963\pi\) | |||||||
\(198\) | −4.68961 | + | 5.19258i | −0.333276 | + | 0.369020i | ||||
\(199\) | 12.2362 | 0.867398 | 0.433699 | − | 0.901058i | \(-0.357208\pi\) | ||||
0.433699 | + | 0.901058i | \(0.357208\pi\) | |||||||
\(200\) | 3.45894 | − | 11.8301i | 0.244584 | − | 0.836517i | ||||
\(201\) | −0.223565 | + | 1.54571i | −0.0157690 | + | 0.109026i | ||||
\(202\) | −1.14320 | + | 0.371449i | −0.0804354 | + | 0.0261350i | ||||
\(203\) | −11.8069 | + | 8.57819i | −0.828680 | + | 0.602071i | ||||
\(204\) | −7.77624 | + | 7.98812i | −0.544446 | + | 0.559280i | ||||
\(205\) | 9.97611 | + | 18.8806i | 0.696762 | + | 1.31868i | ||||
\(206\) | −1.28847 | + | 3.96551i | −0.0897722 | + | 0.276290i | ||||
\(207\) | 12.3960 | + | 3.66242i | 0.861579 | + | 0.254556i | ||||
\(208\) | −5.42278 | −0.376002 | ||||||||
\(209\) | −0.889990 | − | 0.119168i | −0.0615619 | − | 0.00824303i | ||||
\(210\) | 5.10859 | − | 1.82120i | 0.352526 | − | 0.125675i | ||||
\(211\) | −2.15988 | + | 2.97283i | −0.148693 | + | 0.204658i | −0.876866 | − | 0.480736i | \(-0.840370\pi\) |
0.728173 | + | 0.685393i | \(0.240370\pi\) | |||||||
\(212\) | −3.22658 | + | 9.93039i | −0.221602 | + | 0.682022i | ||||
\(213\) | 0.424444 | + | 0.806051i | 0.0290824 | + | 0.0552297i | ||||
\(214\) | −1.80023 | + | 1.30795i | −0.123061 | + | 0.0894094i | ||||
\(215\) | 2.63135 | − | 2.71070i | 0.179456 | − | 0.184868i | ||||
\(216\) | −9.41504 | − | 8.68486i | −0.640612 | − | 0.590930i | ||||
\(217\) | 3.98938 | − | 12.2780i | 0.270817 | − | 0.833488i | ||||
\(218\) | −2.05009 | − | 1.48948i | −0.138850 | − | 0.100880i | ||||
\(219\) | 3.02812 | + | 17.5857i | 0.204621 | + | 1.18833i | ||||
\(220\) | 10.7446 | + | 3.03544i | 0.724398 | + | 0.204649i | ||||
\(221\) | − | 18.1470i | − | 1.22070i | ||||||
\(222\) | −3.20857 | + | 6.51209i | −0.215345 | + | 0.437063i | ||||
\(223\) | 15.0251 | + | 4.88195i | 1.00616 | + | 0.326920i | 0.765323 | − | 0.643647i | \(-0.222579\pi\) |
0.240833 | + | 0.970567i | \(0.422579\pi\) | |||||||
\(224\) | −11.0387 | + | 3.58670i | −0.737557 | + | 0.239647i | ||||
\(225\) | 3.82104 | − | 14.5052i | 0.254736 | − | 0.967011i | ||||
\(226\) | 3.17807 | + | 4.37424i | 0.211402 | + | 0.290970i | ||||
\(227\) | −1.32797 | + | 0.431484i | −0.0881405 | + | 0.0286386i | −0.352755 | − | 0.935716i | \(-0.614755\pi\) |
0.264615 | + | 0.964354i | \(0.414755\pi\) | |||||||
\(228\) | 0.101058 | − | 0.698705i | 0.00669272 | − | 0.0462729i | ||||
\(229\) | 8.52126 | + | 6.19106i | 0.563101 | + | 0.409117i | 0.832593 | − | 0.553886i | \(-0.186856\pi\) |
−0.269492 | + | 0.963003i | \(0.586856\pi\) | |||||||
\(230\) | 1.15908 | + | 6.67496i | 0.0764276 | + | 0.440134i | ||||
\(231\) | 3.93949 | + | 10.7398i | 0.259200 | + | 0.706629i | ||||
\(232\) | 18.0658i | 1.18608i | ||||||||
\(233\) | 9.20055 | − | 12.6635i | 0.602748 | − | 0.829611i | −0.393208 | − | 0.919449i | \(-0.628635\pi\) |
0.995956 | + | 0.0898380i | \(0.0286349\pi\) | |||||||
\(234\) | 8.95145 | − | 0.240671i | 0.585174 | − | 0.0157331i | ||||
\(235\) | 0.244545 | + | 0.462822i | 0.0159523 | + | 0.0301912i | ||||
\(236\) | 9.33799 | + | 12.8526i | 0.607852 | + | 0.836636i | ||||
\(237\) | −0.272503 | + | 0.279928i | −0.0177009 | + | 0.0181833i | ||||
\(238\) | −1.85002 | − | 5.69377i | −0.119919 | − | 0.369072i | ||||
\(239\) | −5.67665 | + | 17.4709i | −0.367192 | + | 1.13010i | 0.581405 | + | 0.813614i | \(0.302503\pi\) |
−0.948597 | + | 0.316487i | \(0.897497\pi\) | |||||||
\(240\) | −1.39526 | + | 4.74710i | −0.0900633 | + | 0.306424i | ||||
\(241\) | 1.75403i | 0.112987i | 0.998403 | + | 0.0564935i | \(0.0179920\pi\) | ||||
−0.998403 | + | 0.0564935i | \(0.982008\pi\) | |||||||
\(242\) | 2.03499 | − | 7.46278i | 0.130814 | − | 0.479725i | ||||
\(243\) | −11.7380 | − | 10.2577i | −0.752992 | − | 0.658029i | ||||
\(244\) | −8.55170 | + | 11.7704i | −0.547467 | + | 0.753523i | ||||
\(245\) | −0.961790 | + | 6.71669i | −0.0614465 | + | 0.429113i | ||||
\(246\) | 5.41946 | + | 10.2920i | 0.345532 | + | 0.656191i | ||||
\(247\) | 0.675481 | + | 0.929720i | 0.0429798 | + | 0.0591567i | ||||
\(248\) | −9.39337 | − | 12.9289i | −0.596480 | − | 0.820984i | ||||
\(249\) | 1.62282 | + | 3.08185i | 0.102842 | + | 0.195304i | ||||
\(250\) | 7.70279 | − | 1.57456i | 0.487167 | − | 0.0995840i | ||||
\(251\) | 6.58509 | − | 9.06359i | 0.415647 | − | 0.572089i | −0.548937 | − | 0.835863i | \(-0.684967\pi\) |
0.964584 | + | 0.263775i | \(0.0849675\pi\) | |||||||
\(252\) | −8.47606 | + | 3.00821i | −0.533942 | + | 0.189499i | ||||
\(253\) | −14.0563 | + | 2.57311i | −0.883712 | + | 0.161770i | ||||
\(254\) | − | 7.07508i | − | 0.443930i | ||||||
\(255\) | −15.8859 | − | 4.66914i | −0.994814 | − | 0.292393i | ||||
\(256\) | −3.25123 | + | 10.0063i | −0.203202 | + | 0.625391i | ||||
\(257\) | −1.92104 | − | 5.91235i | −0.119831 | − | 0.368802i | 0.873093 | − | 0.487554i | \(-0.162111\pi\) |
−0.992924 | + | 0.118752i | \(0.962111\pi\) | |||||||
\(258\) | 1.43538 | − | 1.47449i | 0.0893629 | − | 0.0917978i | ||||
\(259\) | 6.97659 | + | 9.60245i | 0.433504 | + | 0.596667i | ||||
\(260\) | −6.67562 | − | 12.6342i | −0.414004 | − | 0.783538i | ||||
\(261\) | 0.590906 | + | 21.9780i | 0.0365762 | + | 1.36041i | ||||
\(262\) | −6.55072 | + | 9.01629i | −0.404705 | + | 0.557028i | ||||
\(263\) | 24.0702i | 1.48423i | 0.670272 | + | 0.742116i | \(0.266178\pi\) | ||||
−0.670272 | + | 0.742116i | \(0.733822\pi\) | |||||||
\(264\) | 13.6220 | + | 3.86913i | 0.838378 | + | 0.238128i | ||||
\(265\) | −15.2796 | + | 2.65325i | −0.938620 | + | 0.162988i | ||||
\(266\) | 0.306719 | + | 0.222844i | 0.0188061 | + | 0.0136634i | ||||
\(267\) | 3.93136 | − | 27.1811i | 0.240595 | − | 1.66345i | ||||
\(268\) | 1.29107 | − | 0.419494i | 0.0788647 | − | 0.0256247i | ||||
\(269\) | −14.8417 | − | 20.4278i | −0.904912 | − | 1.24550i | −0.968875 | − | 0.247552i | \(-0.920374\pi\) |
0.0639625 | − | 0.997952i | \(-0.479626\pi\) | |||||||
\(270\) | 2.09248 | − | 7.89802i | 0.127344 | − | 0.480658i | ||||
\(271\) | 21.3742 | − | 6.94489i | 1.29839 | − | 0.421872i | 0.423368 | − | 0.905958i | \(-0.360848\pi\) |
0.875020 | + | 0.484086i | \(0.160848\pi\) | |||||||
\(272\) | 5.19446 | + | 1.68778i | 0.314960 | + | 0.102337i | ||||
\(273\) | 6.47080 | − | 13.1331i | 0.391630 | − | 0.794849i | ||||
\(274\) | − | 8.91530i | − | 0.538593i | ||||||
\(275\) | 3.46920 | + | 16.2162i | 0.209201 | + | 0.977873i | ||||
\(276\) | −1.90652 | − | 11.0721i | −0.114759 | − | 0.666461i | ||||
\(277\) | −7.91369 | − | 5.74963i | −0.475488 | − | 0.345462i | 0.324088 | − | 0.946027i | \(-0.394942\pi\) |
−0.799576 | + | 0.600565i | \(0.794942\pi\) | |||||||
\(278\) | −3.31298 | + | 10.1963i | −0.198699 | + | 0.611533i | ||||
\(279\) | −11.8504 | − | 15.4214i | −0.709467 | − | 0.923257i | ||||
\(280\) | −7.87609 | − | 7.64554i | −0.470686 | − | 0.456908i | ||||
\(281\) | 11.0817 | − | 8.05131i | 0.661078 | − | 0.480301i | −0.205949 | − | 0.978563i | \(-0.566028\pi\) |
0.867027 | + | 0.498262i | \(0.166028\pi\) | |||||||
\(282\) | 0.132847 | + | 0.252287i | 0.00791095 | + | 0.0150235i | ||||
\(283\) | −9.22512 | + | 28.3920i | −0.548376 | + | 1.68773i | 0.164448 | + | 0.986386i | \(0.447416\pi\) |
−0.712824 | + | 0.701343i | \(0.752584\pi\) | |||||||
\(284\) | 0.465420 | − | 0.640595i | 0.0276176 | − | 0.0380123i | ||||
\(285\) | 0.987674 | − | 0.352103i | 0.0585048 | − | 0.0208568i | ||||
\(286\) | −8.71049 | + | 4.70455i | −0.515062 | + | 0.278186i | ||||
\(287\) | 19.0174 | 1.12256 | ||||||||
\(288\) | −4.95446 | + | 16.7691i | −0.291944 | + | 0.988126i | ||||
\(289\) | −0.394774 | + | 1.21499i | −0.0232220 | + | 0.0714700i | ||||
\(290\) | −10.1888 | + | 5.38356i | −0.598310 | + | 0.316134i | ||||
\(291\) | 3.98932 | − | 4.09802i | 0.233858 | − | 0.240230i | ||||
\(292\) | 12.5483 | − | 9.11684i | 0.734331 | − | 0.533523i | ||||
\(293\) | 23.2050 | − | 7.53977i | 1.35565 | − | 0.440478i | 0.461063 | − | 0.887367i | \(-0.347468\pi\) |
0.894589 | + | 0.446889i | \(0.147468\pi\) | |||||||
\(294\) | −0.529055 | + | 3.65784i | −0.0308551 | + | 0.213329i | ||||
\(295\) | −10.3989 | + | 21.1810i | −0.605449 | + | 1.23320i | ||||
\(296\) | 14.6928 | 0.854001 | ||||||||
\(297\) | 16.6985 | + | 4.26145i | 0.968945 | + | 0.247275i | ||||
\(298\) | − | 6.13886i | − | 0.355615i | ||||||
\(299\) | 14.7957 | + | 10.7497i | 0.855660 | + | 0.621673i | ||||
\(300\) | −12.7776 | + | 2.59312i | −0.737713 | + | 0.149714i | ||||
\(301\) | −1.03966 | − | 3.19974i | −0.0599249 | − | 0.184430i | ||||
\(302\) | −10.7632 | + | 7.81992i | −0.619353 | + | 0.449986i | ||||
\(303\) | 2.12148 | + | 2.06521i | 0.121876 | + | 0.118643i | ||||
\(304\) | −0.328949 | + | 0.106882i | −0.0188665 | + | 0.00613011i | ||||
\(305\) | −21.3910 | − | 3.06306i | −1.22484 | − | 0.175390i | ||||
\(306\) | −8.64946 | − | 2.55550i | −0.494457 | − | 0.146088i | ||||
\(307\) | 7.28242 | 0.415630 | 0.207815 | − | 0.978168i | \(-0.433365\pi\) | ||||
0.207815 | + | 0.978168i | \(0.433365\pi\) | |||||||
\(308\) | 6.86041 | − | 7.19749i | 0.390908 | − | 0.410115i | ||||
\(309\) | 10.1211 | − | 1.74277i | 0.575768 | − | 0.0991425i | ||||
\(310\) | 4.49250 | − | 9.15050i | 0.255157 | − | 0.519714i | ||||
\(311\) | −2.25383 | − | 0.732315i | −0.127803 | − | 0.0415258i | 0.244417 | − | 0.969670i | \(-0.421403\pi\) |
−0.372220 | + | 0.928144i | \(0.621403\pi\) | |||||||
\(312\) | −8.44413 | − | 16.0360i | −0.478055 | − | 0.907862i | ||||
\(313\) | 8.58863 | + | 11.8212i | 0.485458 | + | 0.668175i | 0.979542 | − | 0.201239i | \(-0.0644966\pi\) |
−0.494084 | + | 0.869414i | \(0.664497\pi\) | |||||||
\(314\) | −8.13109 | + | 5.90758i | −0.458864 | + | 0.333384i | ||||
\(315\) | −9.83177 | − | 9.04361i | −0.553958 | − | 0.509549i | ||||
\(316\) | 0.322945 | + | 0.104931i | 0.0181671 | + | 0.00590284i | ||||
\(317\) | −20.0536 | − | 14.5698i | −1.12632 | − | 0.818319i | −0.141165 | − | 0.989986i | \(-0.545085\pi\) |
−0.985155 | + | 0.171667i | \(0.945085\pi\) | |||||||
\(318\) | −8.32485 | + | 1.43347i | −0.466834 | + | 0.0803850i | ||||
\(319\) | −11.5508 | − | 21.3864i | −0.646723 | − | 1.19741i | ||||
\(320\) | −3.40067 | + | 0.590514i | −0.190103 | + | 0.0330107i | ||||
\(321\) | 4.91649 | + | 2.42241i | 0.274412 | + | 0.135206i | ||||
\(322\) | 5.73817 | + | 1.86444i | 0.319776 | + | 0.103901i | ||||
\(323\) | −0.357675 | − | 1.10081i | −0.0199016 | − | 0.0612507i | ||||
\(324\) | −3.48855 | + | 13.0927i | −0.193808 | + | 0.727374i | ||||
\(325\) | 11.9594 | − | 17.5331i | 0.663388 | − | 0.972561i | ||||
\(326\) | −4.90077 | − | 15.0830i | −0.271429 | − | 0.835372i | ||||
\(327\) | −0.893459 | + | 6.17730i | −0.0494084 | + | 0.341605i | ||||
\(328\) | 13.8372 | − | 19.0453i | 0.764033 | − | 1.05160i | ||||
\(329\) | 0.466174 | 0.0257010 | ||||||||
\(330\) | 1.87720 | + | 8.83562i | 0.103336 | + | 0.486385i | ||||
\(331\) | 10.2699 | 0.564483 | 0.282242 | − | 0.959343i | \(-0.408922\pi\) | ||||
0.282242 | + | 0.959343i | \(0.408922\pi\) | |||||||
\(332\) | 1.77948 | − | 2.44925i | 0.0976619 | − | 0.134420i | ||||
\(333\) | 17.8746 | − | 0.480580i | 0.979521 | − | 0.0263356i | ||||
\(334\) | −1.16548 | − | 3.58696i | −0.0637720 | − | 0.196270i | ||||
\(335\) | 1.44673 | + | 1.40438i | 0.0790433 | + | 0.0767295i | ||||
\(336\) | 3.15742 | + | 3.07367i | 0.172251 | + | 0.167683i | ||||
\(337\) | 2.70961 | + | 8.33932i | 0.147602 | + | 0.454272i | 0.997336 | − | 0.0729391i | \(-0.0232379\pi\) |
−0.849735 | + | 0.527211i | \(0.823238\pi\) | |||||||
\(338\) | 3.35562 | + | 1.09031i | 0.182522 | + | 0.0593049i | ||||
\(339\) | 5.88601 | − | 11.9462i | 0.319684 | − | 0.648827i | ||||
\(340\) | 2.46229 | + | 14.1799i | 0.133537 | + | 0.769015i | ||||
\(341\) | 19.3864 | + | 9.29939i | 1.04983 | + | 0.503590i | ||||
\(342\) | 0.538257 | − | 0.191031i | 0.0291056 | − | 0.0103298i | ||||
\(343\) | 16.1660 | + | 11.7453i | 0.872883 | + | 0.634187i | ||||
\(344\) | −3.96090 | − | 1.28697i | −0.213558 | − | 0.0693890i | ||||
\(345\) | 13.2172 | − | 10.1863i | 0.711589 | − | 0.548414i | ||||
\(346\) | −9.27557 | + | 6.73910i | −0.498658 | + | 0.362296i | ||||
\(347\) | −9.19468 | − | 12.6554i | −0.493596 | − | 0.679377i | 0.487450 | − | 0.873151i | \(-0.337927\pi\) |
−0.981046 | + | 0.193774i | \(0.937927\pi\) | |||||||
\(348\) | 16.9092 | − | 8.90393i | 0.906429 | − | 0.477301i | ||||
\(349\) | −28.9739 | − | 9.41418i | −1.55094 | − | 0.503929i | −0.596567 | − | 0.802563i | \(-0.703469\pi\) |
−0.954368 | + | 0.298633i | \(0.903469\pi\) | |||||||
\(350\) | 1.96492 | − | 6.72036i | 0.105029 | − | 0.359218i | ||||
\(351\) | −10.7973 | − | 19.2325i | −0.576316 | − | 1.02656i | ||||
\(352\) | −3.48086 | − | 19.0151i | −0.185531 | − | 1.01351i | ||||
\(353\) | 18.4443 | 0.981692 | 0.490846 | − | 0.871246i | \(-0.336688\pi\) | ||||
0.490846 | + | 0.871246i | \(0.336688\pi\) | |||||||
\(354\) | −5.68059 | + | 11.5293i | −0.301920 | + | 0.612774i | ||||
\(355\) | 1.16419 | + | 0.166705i | 0.0617885 | + | 0.00884776i | ||||
\(356\) | −22.7033 | + | 7.37676i | −1.20327 | + | 0.390967i | ||||
\(357\) | −10.2859 | + | 10.5661i | −0.544386 | + | 0.559219i | ||||
\(358\) | 0.152584 | − | 0.110859i | 0.00806432 | − | 0.00585907i | ||||
\(359\) | −5.34445 | − | 16.4485i | −0.282069 | − | 0.868120i | −0.987262 | − | 0.159104i | \(-0.949139\pi\) |
0.705192 | − | 0.709016i | \(-0.250861\pi\) | |||||||
\(360\) | −16.2106 | + | 3.26600i | −0.854373 | + | 0.172133i | ||||
\(361\) | −15.3120 | − | 11.1248i | −0.805896 | − | 0.585518i | ||||
\(362\) | 0.150359i | 0.00790271i | ||||||||
\(363\) | −18.5997 | + | 4.12930i | −0.976231 | + | 0.216732i | ||||
\(364\) | −12.7257 | −0.667007 | ||||||||
\(365\) | 20.6793 | + | 10.1527i | 1.08241 | + | 0.531414i | ||||
\(366\) | −11.6493 | − | 1.68491i | −0.608918 | − | 0.0880714i | ||||
\(367\) | 2.16652 | − | 0.703945i | 0.113091 | − | 0.0367456i | −0.251925 | − | 0.967747i | \(-0.581063\pi\) |
0.365016 | + | 0.931001i | \(0.381063\pi\) | |||||||
\(368\) | −4.45313 | + | 3.23539i | −0.232135 | + | 0.168656i | ||||
\(369\) | 16.2108 | − | 23.6223i | 0.843901 | − | 1.22973i | ||||
\(370\) | 4.37842 | + | 8.28653i | 0.227623 | + | 0.430796i | ||||
\(371\) | −4.26789 | + | 13.1352i | −0.221578 | + | 0.681947i | ||||
\(372\) | −7.47154 | + | 15.1642i | −0.387381 | + | 0.786225i | ||||
\(373\) | −29.7264 | −1.53917 | −0.769587 | − | 0.638542i | \(-0.779538\pi\) | ||||
−0.769587 | + | 0.638542i | \(0.779538\pi\) | |||||||
\(374\) | 9.80798 | − | 1.79542i | 0.507159 | − | 0.0928392i | ||||
\(375\) | −12.2714 | − | 14.9804i | −0.633691 | − | 0.773586i | ||||
\(376\) | 0.339192 | − | 0.466858i | 0.0174925 | − | 0.0240764i | ||||
\(377\) | −9.61288 | + | 29.5854i | −0.495089 | + | 1.52373i | ||||
\(378\) | −5.34841 | − | 4.93362i | −0.275092 | − | 0.253758i | ||||
\(379\) | 16.8851 | − | 12.2677i | 0.867328 | − | 0.630151i | −0.0625406 | − | 0.998042i | \(-0.519920\pi\) |
0.929869 | + | 0.367892i | \(0.119920\pi\) | |||||||
\(380\) | −0.653965 | − | 0.634822i | −0.0335477 | − | 0.0325657i | ||||
\(381\) | −15.4194 | + | 8.11942i | −0.789959 | + | 0.415970i | ||||
\(382\) | 0.865899 | − | 2.66496i | 0.0443032 | − | 0.136351i | ||||
\(383\) | 6.84780 | + | 4.97522i | 0.349906 | + | 0.254222i | 0.748830 | − | 0.662763i | \(-0.230616\pi\) |
−0.398924 | + | 0.916984i | \(0.630616\pi\) | |||||||
\(384\) | 18.0451 | − | 3.10721i | 0.920858 | − | 0.158564i | ||||
\(385\) | 14.2122 | + | 4.01506i | 0.724319 | + | 0.204627i | ||||
\(386\) | 11.3891i | 0.579689i | ||||||||
\(387\) | −4.86075 | − | 1.43612i | −0.247086 | − | 0.0730021i | ||||
\(388\) | −4.72778 | − | 1.53615i | −0.240017 | − | 0.0779861i | ||||
\(389\) | −25.0694 | + | 8.14555i | −1.27107 | + | 0.412996i | −0.865427 | − | 0.501036i | \(-0.832952\pi\) |
−0.405643 | + | 0.914031i | \(0.632952\pi\) | |||||||
\(390\) | 6.52777 | − | 9.54108i | 0.330546 | − | 0.483131i | ||||
\(391\) | −10.8270 | − | 14.9021i | −0.547547 | − | 0.753633i | ||||
\(392\) | 7.11404 | − | 2.31149i | 0.359313 | − | 0.116748i | ||||
\(393\) | 27.1677 | + | 3.92942i | 1.37043 | + | 0.198213i | ||||
\(394\) | 3.24032 | + | 2.35423i | 0.163245 | + | 0.118605i | ||||
\(395\) | 0.0862861 | + | 0.496907i | 0.00434153 | + | 0.0250021i | ||||
\(396\) | −3.09234 | − | 14.6569i | −0.155396 | − | 0.736537i | ||||
\(397\) | − | 19.7388i | − | 0.990662i | −0.868704 | − | 0.495331i | \(-0.835047\pi\) | ||
0.868704 | − | 0.495331i | \(-0.164953\pi\) | |||||||
\(398\) | 5.05761 | − | 6.96121i | 0.253515 | − | 0.348934i | ||||
\(399\) | 0.133672 | − | 0.924198i | 0.00669198 | − | 0.0462678i | ||||
\(400\) | 3.90643 | + | 5.05397i | 0.195321 | + | 0.252699i | ||||
\(401\) | −20.7738 | − | 28.5926i | −1.03739 | − | 1.42785i | −0.899249 | − | 0.437436i | \(-0.855887\pi\) |
−0.138143 | − | 0.990412i | \(-0.544113\pi\) | |||||||
\(402\) | 0.786953 | + | 0.766079i | 0.0392497 | + | 0.0382086i | ||||
\(403\) | −8.50354 | − | 26.1712i | −0.423591 | − | 1.30368i | ||||
\(404\) | 0.795240 | − | 2.44750i | 0.0395647 | − | 0.121768i | ||||
\(405\) | −19.6142 | + | 4.50349i | −0.974640 | + | 0.223780i | ||||
\(406\) | 10.2626i | 0.509326i | ||||||||
\(407\) | −17.3934 | + | 9.39423i | −0.862161 | + | 0.465655i | ||||
\(408\) | 3.09755 | + | 17.9890i | 0.153352 | + | 0.890588i | ||||
\(409\) | 3.86369 | − | 5.31791i | 0.191047 | − | 0.262954i | −0.702739 | − | 0.711448i | \(-0.748040\pi\) |
0.893786 | + | 0.448495i | \(0.148040\pi\) | |||||||
\(410\) | 14.8648 | + | 2.12855i | 0.734118 | + | 0.105121i | ||||
\(411\) | −19.4299 | + | 10.2313i | −0.958408 | + | 0.504671i | ||||
\(412\) | −5.24700 | − | 7.22188i | −0.258501 | − | 0.355796i | ||||
\(413\) | 12.3516 | + | 17.0006i | 0.607785 | + | 0.836544i | ||||
\(414\) | 7.20724 | − | 5.53833i | 0.354216 | − | 0.272194i | ||||
\(415\) | 4.45114 | + | 0.637377i | 0.218498 | + | 0.0312876i | ||||
\(416\) | −14.5421 | + | 20.0154i | −0.712983 | + | 0.981337i | ||||
\(417\) | 26.0238 | − | 4.48107i | 1.27439 | − | 0.219439i | ||||
\(418\) | −0.435658 | + | 0.457064i | −0.0213087 | + | 0.0223557i | ||||
\(419\) | 1.69814i | 0.0829594i | 0.999139 | + | 0.0414797i | \(0.0132072\pi\) | ||||
−0.999139 | + | 0.0414797i | \(0.986793\pi\) | |||||||
\(420\) | −3.27426 | + | 11.1401i | −0.159767 | + | 0.543579i | ||||
\(421\) | 5.97401 | − | 18.3861i | 0.291155 | − | 0.896084i | −0.693330 | − | 0.720620i | \(-0.743857\pi\) |
0.984486 | − | 0.175464i | \(-0.0561427\pi\) | |||||||
\(422\) | 0.798503 | + | 2.45754i | 0.0388705 | + | 0.119631i | ||||
\(423\) | 0.397376 | − | 0.579054i | 0.0193211 | − | 0.0281546i | ||||
\(424\) | 10.0492 | + | 13.8315i | 0.488030 | + | 0.671716i | ||||
\(425\) | −16.9128 | + | 13.0726i | −0.820393 | + | 0.634116i | ||||
\(426\) | 0.634003 | + | 0.0916996i | 0.0307176 | + | 0.00444286i | ||||
\(427\) | −11.3116 | + | 15.5691i | −0.547407 | + | 0.753440i | ||||
\(428\) | − | 4.76399i | − | 0.230276i | ||||||
\(429\) | 20.2493 | + | 13.5846i | 0.977646 | + | 0.655871i | ||||
\(430\) | −0.454504 | − | 2.61741i | −0.0219181 | − | 0.126223i | ||||
\(431\) | 14.8290 | + | 10.7739i | 0.714287 | + | 0.518960i | 0.884554 | − | 0.466438i | \(-0.154463\pi\) |
−0.170267 | + | 0.985398i | \(0.554463\pi\) | |||||||
\(432\) | 6.50939 | − | 1.30190i | 0.313183 | − | 0.0626378i | ||||
\(433\) | 6.21706 | − | 2.02005i | 0.298773 | − | 0.0970772i | −0.155795 | − | 0.987789i | \(-0.549794\pi\) |
0.454568 | + | 0.890712i | \(0.349794\pi\) | |||||||
\(434\) | −5.33610 | − | 7.34451i | −0.256141 | − | 0.352548i | ||||
\(435\) | 23.4257 | + | 16.0273i | 1.12318 | + | 0.768450i | ||||
\(436\) | 5.15967 | − | 1.67648i | 0.247103 | − | 0.0802887i | ||||
\(437\) | 1.10939 | + | 0.360464i | 0.0530695 | + | 0.0172433i | ||||
\(438\) | 11.2562 | + | 5.54606i | 0.537843 | + | 0.265001i | ||||
\(439\) | − | 6.71248i | − | 0.320369i | −0.987087 | − | 0.160185i | \(-0.948791\pi\) | ||
0.987087 | − | 0.160185i | \(-0.0512090\pi\) | |||||||
\(440\) | 14.3619 | − | 11.3116i | 0.684675 | − | 0.539261i | ||||
\(441\) | 8.57902 | − | 3.04475i | 0.408525 | − | 0.144988i | ||||
\(442\) | −10.3239 | − | 7.50078i | −0.491059 | − | 0.356776i | ||||
\(443\) | 4.76834 | − | 14.6754i | 0.226551 | − | 0.697252i | −0.771580 | − | 0.636133i | \(-0.780533\pi\) |
0.998130 | − | 0.0611190i | \(-0.0194669\pi\) | |||||||
\(444\) | −7.24151 | − | 13.7522i | −0.343667 | − | 0.652649i | ||||
\(445\) | −25.4406 | − | 24.6959i | −1.20600 | − | 1.17070i | ||||
\(446\) | 8.98775 | − | 6.52999i | 0.425582 | − | 0.309204i | ||||
\(447\) | −13.3790 | + | 7.04501i | −0.632805 | + | 0.333217i | ||||
\(448\) | −0.949872 | + | 2.92341i | −0.0448772 | + | 0.138118i | ||||
\(449\) | −4.40619 | + | 6.06460i | −0.207941 | + | 0.286206i | −0.900231 | − | 0.435414i | \(-0.856602\pi\) |
0.692289 | + | 0.721620i | \(0.256602\pi\) | |||||||
\(450\) | −6.67269 | − | 8.16928i | −0.314554 | − | 0.385104i | ||||
\(451\) | −4.20349 | + | 31.3932i | −0.197935 | + | 1.47825i | ||||
\(452\) | −11.5756 | −0.544471 | ||||||||
\(453\) | 29.3946 | + | 14.4830i | 1.38108 | + | 0.680473i | ||||
\(454\) | −0.303422 | + | 0.933836i | −0.0142403 | + | 0.0438271i | ||||
\(455\) | −8.83004 | − | 16.7116i | −0.413959 | − | 0.783452i | ||||
\(456\) | −0.828294 | − | 0.806324i | −0.0387884 | − | 0.0377596i | ||||
\(457\) | −29.4978 | + | 21.4314i | −1.37985 | + | 1.00252i | −0.382954 | + | 0.923767i | \(0.625093\pi\) |
−0.996894 | + | 0.0787515i | \(0.974907\pi\) | |||||||
\(458\) | 7.04425 | − | 2.28882i | 0.329156 | − | 0.106949i | ||||
\(459\) | 4.35674 | + | 21.7833i | 0.203355 | + | 1.01676i | ||||
\(460\) | −13.0199 | − | 6.39218i | −0.607054 | − | 0.298037i | ||||
\(461\) | 9.37436 | 0.436607 | 0.218304 | − | 0.975881i | \(-0.429948\pi\) | ||||
0.218304 | + | 0.975881i | \(0.429948\pi\) | |||||||
\(462\) | 7.73827 | + | 2.19794i | 0.360017 | + | 0.102257i | ||||
\(463\) | 0.0632711i | 0.00294046i | 0.999999 | + | 0.00147023i | \(0.000467989\pi\) | ||||
−0.999999 | + | 0.00147023i | \(0.999532\pi\) | |||||||
\(464\) | −7.57456 | − | 5.50324i | −0.351640 | − | 0.255481i | ||||
\(465\) | −25.0982 | + | 0.710272i | −1.16390 | + | 0.0329381i | ||||
\(466\) | −3.40141 | − | 10.4685i | −0.157567 | − | 0.484943i | ||||
\(467\) | 22.5665 | − | 16.3955i | 1.04425 | − | 0.758694i | 0.0731419 | − | 0.997322i | \(-0.476697\pi\) |
0.971111 | + | 0.238627i | \(0.0766974\pi\) | |||||||
\(468\) | −10.8476 | + | 15.8071i | −0.501432 | + | 0.730683i | ||||
\(469\) | 1.70774 | − | 0.554877i | 0.0788560 | − | 0.0256219i | ||||
\(470\) | 0.364380 | + | 0.0521771i | 0.0168076 | + | 0.00240675i | ||||
\(471\) | 22.2062 | + | 10.9413i | 1.02321 | + | 0.504146i | ||||
\(472\) | 26.0127 | 1.19733 | ||||||||
\(473\) | 5.51181 | − | 1.00898i | 0.253433 | − | 0.0463929i | ||||
\(474\) | 0.0466177 | + | 0.270732i | 0.00214122 | + | 0.0124351i | ||||
\(475\) | 0.379890 | − | 1.29929i | 0.0174305 | − | 0.0596154i | ||||
\(476\) | 12.1899 | + | 3.96073i | 0.558722 | + | 0.181540i | ||||
\(477\) | 12.6778 | + | 16.4981i | 0.580475 | + | 0.755395i | ||||
\(478\) | 7.59295 | + | 10.4508i | 0.347294 | + | 0.478009i | ||||
\(479\) | 7.89453 | − | 5.73571i | 0.360710 | − | 0.262071i | −0.392638 | − | 0.919693i | \(-0.628437\pi\) |
0.753348 | + | 0.657622i | \(0.228437\pi\) | |||||||
\(480\) | 13.7799 | + | 17.8800i | 0.628964 | + | 0.816106i | ||||
\(481\) | 24.0616 | + | 7.81809i | 1.09712 | + | 0.356474i | ||||
\(482\) | 0.997876 | + | 0.724999i | 0.0454520 | + | 0.0330228i | ||||
\(483\) | −2.52181 | − | 14.6454i | −0.114746 | − | 0.666388i | ||||
\(484\) | 10.3650 | + | 12.9158i | 0.471135 | + | 0.587083i | ||||
\(485\) | −1.26319 | − | 7.27451i | −0.0573586 | − | 0.330318i | ||||
\(486\) | −10.6873 | + | 2.43796i | −0.484788 | + | 0.110588i | ||||
\(487\) | −11.8791 | − | 3.85975i | −0.538293 | − | 0.174902i | 0.0272380 | − | 0.999629i | \(-0.491329\pi\) |
−0.565531 | + | 0.824727i | \(0.691329\pi\) | |||||||
\(488\) | 7.36152 | + | 22.6564i | 0.333240 | + | 1.02561i | ||||
\(489\) | −27.2477 | + | 27.9901i | −1.23218 | + | 1.26576i | ||||
\(490\) | 3.42362 | + | 3.32340i | 0.154663 | + | 0.150136i | ||||
\(491\) | −6.27879 | − | 19.3241i | −0.283358 | − | 0.872086i | −0.986886 | − | 0.161419i | \(-0.948393\pi\) |
0.703528 | − | 0.710667i | \(-0.251607\pi\) | |||||||
\(492\) | −24.6459 | − | 3.56468i | −1.11112 | − | 0.160708i | ||||
\(493\) | 18.4163 | − | 25.3478i | 0.829427 | − | 1.14161i | ||||
\(494\) | 0.808121 | 0.0363591 | ||||||||
\(495\) | 17.1020 | − | 14.2310i | 0.768678 | − | 0.639635i | ||||
\(496\) | 8.28220 | 0.371882 | ||||||||
\(497\) | 0.615625 | − | 0.847335i | 0.0276145 | − | 0.0380082i | ||||
\(498\) | 2.42405 | + | 0.350604i | 0.108624 | + | 0.0157109i | ||||
\(499\) | 12.5106 | + | 38.5036i | 0.560050 | + | 1.72366i | 0.682220 | + | 0.731147i | \(0.261015\pi\) |
−0.122170 | + | 0.992509i | \(0.538985\pi\) | |||||||
\(500\) | −6.96598 | + | 15.3229i | −0.311528 | + | 0.685262i | ||||
\(501\) | −6.47990 | + | 6.65646i | −0.289500 | + | 0.297389i | ||||
\(502\) | −2.43449 | − | 7.49258i | −0.108656 | − | 0.334410i | ||||
\(503\) | −18.9478 | − | 6.15652i | −0.844841 | − | 0.274505i | −0.145557 | − | 0.989350i | \(-0.546498\pi\) |
−0.699284 | + | 0.714844i | \(0.746498\pi\) | |||||||
\(504\) | −4.17273 | + | 14.1232i | −0.185868 | + | 0.629097i | ||||
\(505\) | 3.76590 | − | 0.653935i | 0.167580 | − | 0.0290997i | ||||
\(506\) | −4.34609 | + | 9.06026i | −0.193207 | + | 0.402777i | ||||
\(507\) | −1.47473 | − | 8.56446i | −0.0654950 | − | 0.380361i | ||||
\(508\) | 12.2543 | + | 8.90326i | 0.543696 | + | 0.395018i | ||||
\(509\) | −24.3487 | − | 7.91139i | −1.07924 | − | 0.350666i | −0.285160 | − | 0.958480i | \(-0.592047\pi\) |
−0.794079 | + | 0.607814i | \(0.792047\pi\) | |||||||
\(510\) | −9.22248 | + | 7.10766i | −0.408378 | + | 0.314732i | ||||
\(511\) | 16.5980 | − | 12.0591i | 0.734251 | − | 0.533464i | ||||
\(512\) | −8.07895 | − | 11.1197i | −0.357042 | − | 0.491427i | ||||
\(513\) | −1.03404 | − | 0.953846i | −0.0456540 | − | 0.0421133i | ||||
\(514\) | −4.15760 | − | 1.35088i | −0.183384 | − | 0.0595850i | ||||
\(515\) | 5.84314 | − | 11.9015i | 0.257480 | − | 0.524445i | ||||
\(516\) | 0.747592 | + | 4.34163i | 0.0329109 | + | 0.191130i | ||||
\(517\) | −0.103040 | + | 0.769543i | −0.00453171 | + | 0.0338445i | ||||
\(518\) | 8.34654 | 0.366726 | ||||||||
\(519\) | 25.3319 | + | 12.4813i | 1.11195 | + | 0.547867i | ||||
\(520\) | −23.1610 | − | 3.31652i | −1.01568 | − | 0.145439i | ||||
\(521\) | −2.77739 | + | 0.902428i | −0.121680 | + | 0.0395361i | −0.369224 | − | 0.929341i | \(-0.620376\pi\) |
0.247544 | + | 0.968877i | \(0.420376\pi\) | |||||||
\(522\) | 12.7477 | + | 8.74809i | 0.557950 | + | 0.382893i | ||||
\(523\) | −18.1007 | + | 13.1509i | −0.791488 | + | 0.575050i | −0.908405 | − | 0.418092i | \(-0.862699\pi\) |
0.116917 | + | 0.993142i | \(0.462699\pi\) | |||||||
\(524\) | −7.37313 | − | 22.6922i | −0.322097 | − | 0.991312i | ||||
\(525\) | −16.9013 | + | 3.43000i | −0.737632 | + | 0.149697i | ||||
\(526\) | 13.6937 | + | 9.94902i | 0.597072 | + | 0.433798i | ||||
\(527\) | 27.7159i | 1.20732i | ||||||||
\(528\) | −5.77180 | + | 4.53277i | −0.251186 | + | 0.197264i | ||||
\(529\) | −4.43631 | −0.192883 | ||||||||
\(530\) | −4.80614 | + | 9.78933i | −0.208765 | + | 0.425221i | ||||
\(531\) | 31.6459 | − | 0.850840i | 1.37332 | − | 0.0369233i | ||||
\(532\) | −0.771948 | + | 0.250821i | −0.0334682 | + | 0.0108745i | ||||
\(533\) | 32.7946 | − | 23.8267i | 1.42049 | − | 1.03205i | ||||
\(534\) | −13.8385 | − | 13.4714i | −0.598850 | − | 0.582965i | ||||
\(535\) | 6.25616 | − | 3.30562i | 0.270477 | − | 0.142914i | ||||
\(536\) | 0.686874 | − | 2.11398i | 0.0296684 | − | 0.0913100i | ||||
\(537\) | −0.416712 | − | 0.205318i | −0.0179824 | − | 0.00886014i | ||||
\(538\) | −17.7560 | −0.765517 | ||||||||
\(539\) | −6.94374 | + | 7.28492i | −0.299088 | + | 0.313784i | ||||
\(540\) | 11.0465 | + | 13.5631i | 0.475365 | + | 0.583663i | ||||
\(541\) | −11.8895 | + | 16.3644i | −0.511168 | + | 0.703562i | −0.984116 | − | 0.177528i | \(-0.943190\pi\) |
0.472948 | + | 0.881090i | \(0.343190\pi\) | |||||||
\(542\) | 4.88368 | − | 15.0304i | 0.209772 | − | 0.645612i | ||||
\(543\) | 0.327692 | − | 0.172554i | 0.0140626 | − | 0.00740499i | ||||
\(544\) | 20.1594 | − | 14.6466i | 0.864325 | − | 0.627969i | ||||
\(545\) | 5.78175 | + | 5.61250i | 0.247663 | + | 0.240413i | ||||
\(546\) | −4.79686 | − | 9.10960i | −0.205287 | − | 0.389855i | ||||
\(547\) | 6.37562 | − | 19.6221i | 0.272602 | − | 0.838982i | −0.717242 | − | 0.696824i | \(-0.754596\pi\) |
0.989844 | − | 0.142158i | \(-0.0454041\pi\) | |||||||
\(548\) | 15.4416 | + | 11.2190i | 0.659633 | + | 0.479251i | ||||
\(549\) | 9.69675 | + | 27.3220i | 0.413847 | + | 1.16607i | ||||
\(550\) | 10.6594 | + | 4.72905i | 0.454519 | + | 0.201647i | ||||
\(551\) | 1.98414i | 0.0845271i | ||||||||
\(552\) | −16.5018 | − | 8.13060i | −0.702363 | − | 0.346061i | ||||
\(553\) | 0.427169 | + | 0.138796i | 0.0181651 | + | 0.00590220i | ||||
\(554\) | −6.54199 | + | 2.12562i | −0.277943 | + | 0.0903090i | ||||
\(555\) | 13.0349 | − | 19.0520i | 0.553301 | − | 0.808711i | ||||
\(556\) | −13.4913 | − | 18.5692i | −0.572159 | − | 0.787510i | ||||
\(557\) | −9.96646 | + | 3.23830i | −0.422292 | + | 0.137211i | −0.512451 | − | 0.858716i | \(-0.671263\pi\) |
0.0901589 | + | 0.995927i | \(0.471263\pi\) | |||||||
\(558\) | −13.6715 | + | 0.367576i | −0.578762 | + | 0.0155607i | ||||
\(559\) | −5.80176 | − | 4.21523i | −0.245388 | − | 0.178285i | ||||
\(560\) | 5.60482 | − | 0.973257i | 0.236847 | − | 0.0411276i | ||||
\(561\) | −15.1687 | − | 19.3150i | −0.640421 | − | 0.815481i | ||||
\(562\) | − | 9.63230i | − | 0.406314i | ||||||
\(563\) | −21.2655 | + | 29.2694i | −0.896232 | + | 1.23356i | 0.0754225 | + | 0.997152i | \(0.475969\pi\) |
−0.971654 | + | 0.236406i | \(0.924031\pi\) | |||||||
\(564\) | −0.604145 | − | 0.0873811i | −0.0254391 | − | 0.00367941i | ||||
\(565\) | −8.03204 | − | 15.2013i | −0.337910 | − | 0.639524i | ||||
\(566\) | 12.3393 | + | 16.9836i | 0.518659 | + | 0.713873i | ||||
\(567\) | −4.61441 | + | 17.3181i | −0.193787 | + | 0.727294i | ||||
\(568\) | −0.400645 | − | 1.23306i | −0.0168107 | − | 0.0517379i | ||||
\(569\) | −0.102235 | + | 0.314646i | −0.00428590 | + | 0.0131907i | −0.953177 | − | 0.302414i | \(-0.902207\pi\) |
0.948891 | + | 0.315605i | \(0.102207\pi\) | |||||||
\(570\) | 0.207926 | − | 0.707429i | 0.00870905 | − | 0.0296309i | ||||
\(571\) | 23.8700i | 0.998927i | 0.866335 | + | 0.499463i | \(0.166469\pi\) | ||||
−0.866335 | + | 0.499463i | \(0.833531\pi\) | |||||||
\(572\) | 2.81281 | − | 21.0071i | 0.117610 | − | 0.878351i | ||||
\(573\) | −6.80172 | + | 1.17120i | −0.284146 | + | 0.0489275i | ||||
\(574\) | 7.86052 | − | 10.8191i | 0.328092 | − | 0.451580i | ||||
\(575\) | −0.639828 | − | 21.5333i | −0.0266827 | − | 0.898001i | ||||
\(576\) | 2.82159 | + | 3.67185i | 0.117566 | + | 0.152994i | ||||
\(577\) | 10.2076 | + | 14.0496i | 0.424950 | + | 0.584893i | 0.966785 | − | 0.255592i | \(-0.0822703\pi\) |
−0.541835 | + | 0.840485i | \(0.682270\pi\) | |||||||
\(578\) | 0.528040 | + | 0.726785i | 0.0219636 | + | 0.0302303i | ||||
\(579\) | 24.8213 | − | 13.0702i | 1.03154 | − | 0.543179i | ||||
\(580\) | 3.49710 | − | 24.4221i | 0.145209 | − | 1.01407i | ||||
\(581\) | 2.35378 | − | 3.23970i | 0.0976511 | − | 0.134405i | ||||
\(582\) | −0.682464 | − | 3.96339i | −0.0282890 | − | 0.164288i | ||||
\(583\) | −20.7398 | − | 9.94862i | −0.858955 | − | 0.412030i | ||||
\(584\) | − | 25.3967i | − | 1.05092i | ||||||
\(585\) | −28.2851 | − | 3.27716i | −1.16944 | − | 0.135494i | ||||
\(586\) | 5.30201 | − | 16.3179i | 0.219024 | − | 0.674086i | ||||
\(587\) | −4.29831 | − | 13.2288i | −0.177410 | − | 0.546012i | 0.822325 | − | 0.569018i | \(-0.192676\pi\) |
−0.999735 | + | 0.0230056i | \(0.992676\pi\) | |||||||
\(588\) | −5.66975 | − | 5.51936i | −0.233816 | − | 0.227614i | ||||
\(589\) | −1.03166 | − | 1.41996i | −0.0425088 | − | 0.0585084i | ||||
\(590\) | 7.75173 | + | 14.6708i | 0.319134 | + | 0.603988i | ||||
\(591\) | 1.41218 | − | 9.76368i | 0.0580892 | − | 0.401624i | ||||
\(592\) | −4.47575 | + | 6.16034i | −0.183952 | + | 0.253188i | ||||
\(593\) | − | 21.9317i | − | 0.900628i | −0.892870 | − | 0.450314i | \(-0.851312\pi\) | ||
0.892870 | − | 0.450314i | \(-0.148688\pi\) | |||||||
\(594\) | 9.32642 | − | 7.73846i | 0.382667 | − | 0.317513i | ||||
\(595\) | 3.25695 | + | 18.7562i | 0.133522 | + | 0.768930i | ||||
\(596\) | 10.6327 | + | 7.72513i | 0.435534 | + | 0.316434i | ||||
\(597\) | −20.9754 | − | 3.03379i | −0.858465 | − | 0.124165i | ||||
\(598\) | 12.2312 | − | 3.97414i | 0.500169 | − | 0.162515i | ||||
\(599\) | 9.26009 | + | 12.7454i | 0.378357 | + | 0.520764i | 0.955148 | − | 0.296128i | \(-0.0956954\pi\) |
−0.576791 | + | 0.816892i | \(0.695695\pi\) | |||||||
\(600\) | −8.86248 | + | 19.4218i | −0.361809 | + | 0.792891i | ||||
\(601\) | −32.7170 | + | 10.6304i | −1.33455 | + | 0.433623i | −0.887469 | − | 0.460868i | \(-0.847538\pi\) |
−0.447086 | + | 0.894491i | \(0.647538\pi\) | |||||||
\(602\) | −2.25007 | − | 0.731093i | −0.0917061 | − | 0.0297971i | ||||
\(603\) | 0.766475 | − | 2.59424i | 0.0312133 | − | 0.105646i | ||||
\(604\) | − | 28.4828i | − | 1.15895i | ||||||
\(605\) | −9.76929 | + | 22.5735i | −0.397178 | + | 0.917741i | ||||
\(606\) | 2.05179 | − | 0.353301i | 0.0833482 | − | 0.0143519i | ||||
\(607\) | 10.7163 | + | 7.78585i | 0.434962 | + | 0.316018i | 0.783630 | − | 0.621228i | \(-0.213366\pi\) |
−0.348668 | + | 0.937246i | \(0.613366\pi\) | |||||||
\(608\) | −0.487630 | + | 1.50077i | −0.0197760 | + | 0.0608643i | ||||
\(609\) | 22.3663 | − | 11.7775i | 0.906330 | − | 0.477248i | ||||
\(610\) | −10.5842 | + | 10.9034i | −0.428541 | + | 0.441464i | ||||
\(611\) | 0.803895 | − | 0.584064i | 0.0325221 | − | 0.0236287i | ||||
\(612\) | 15.3107 | − | 11.7653i | 0.618898 | − | 0.475585i | ||||
\(613\) | −1.14046 | + | 3.50996i | −0.0460626 | + | 0.141766i | −0.971443 | − | 0.237275i | \(-0.923746\pi\) |
0.925380 | + | 0.379041i | \(0.123746\pi\) | |||||||
\(614\) | 3.01007 | − | 4.14301i | 0.121477 | − | 0.167198i | ||||
\(615\) | −12.4200 | − | 34.8389i | −0.500822 | − | 1.40484i | ||||
\(616\) | −2.93165 | − | 16.0149i | −0.118119 | − | 0.645258i | ||||
\(617\) | 4.13390 | 0.166425 | 0.0832123 | − | 0.996532i | \(-0.473482\pi\) | ||||
0.0832123 | + | 0.996532i | \(0.473482\pi\) | |||||||
\(618\) | 3.19191 | − | 6.47828i | 0.128398 | − | 0.260595i | ||||
\(619\) | −9.56349 | + | 29.4334i | −0.384389 | + | 1.18303i | 0.552533 | + | 0.833491i | \(0.313661\pi\) |
−0.936922 | + | 0.349537i | \(0.886339\pi\) | |||||||
\(620\) | 10.1957 | + | 19.2961i | 0.409467 | + | 0.774952i | ||||
\(621\) | −20.3413 | − | 9.35158i | −0.816267 | − | 0.375266i | ||||
\(622\) | −1.34820 | + | 0.979527i | −0.0540580 | + | 0.0392755i | ||||
\(623\) | −30.0304 | + | 9.75746i | −1.20314 | + | 0.390924i | ||||
\(624\) | 9.29580 | + | 1.34451i | 0.372130 | + | 0.0538233i | ||||
\(625\) | −24.9559 | + | 1.48436i | −0.998236 | + | 0.0593744i | ||||
\(626\) | 10.2751 | 0.410677 | ||||||||
\(627\) | 1.49609 | + | 0.424941i | 0.0597480 | + | 0.0169705i | ||||
\(628\) | − | 21.5174i | − | 0.858639i | ||||||
\(629\) | −20.6152 | − | 14.9778i | −0.821983 | − | 0.597205i | ||||
\(630\) | −9.20876 | + | 1.85532i | −0.366886 | + | 0.0739176i | ||||
\(631\) | −6.88264 | − | 21.1826i | −0.273993 | − | 0.843265i | −0.989484 | − | 0.144643i | \(-0.953797\pi\) |
0.715491 | − | 0.698622i | \(-0.246203\pi\) | |||||||
\(632\) | 0.449812 | − | 0.326808i | 0.0178926 | − | 0.0129997i | ||||
\(633\) | 4.43958 | − | 4.56054i | 0.176457 | − | 0.181265i | ||||
\(634\) | −16.5776 | + | 5.38640i | −0.658382 | + | 0.213921i | ||||
\(635\) | −3.18898 | + | 22.2703i | −0.126551 | + | 0.883771i | ||||
\(636\) | 7.99315 | − | 16.2228i | 0.316949 | − | 0.643277i | ||||
\(637\) | 12.8803 | 0.510334 | ||||||||
\(638\) | −16.9412 | − | 2.26839i | −0.670708 | − | 0.0898066i | ||||
\(639\) | −0.527738 | − | 1.48698i | −0.0208770 | − | 0.0588240i | ||||
\(640\) | 10.4178 | − | 21.2195i | 0.411801 | − | 0.838774i | ||||
\(641\) | 24.8632 | + | 8.07855i | 0.982038 | + | 0.319083i | 0.755666 | − | 0.654957i | \(-0.227313\pi\) |
0.226372 | + | 0.974041i | \(0.427313\pi\) | |||||||
\(642\) | 3.41027 | − | 1.79576i | 0.134593 | − | 0.0708728i | ||||
\(643\) | 12.0799 | + | 16.6265i | 0.476385 | + | 0.655687i | 0.977805 | − | 0.209517i | \(-0.0671890\pi\) |
−0.501421 | + | 0.865204i | \(0.667189\pi\) | |||||||
\(644\) | −10.4502 | + | 7.59250i | −0.411795 | + | 0.299187i | ||||
\(645\) | −5.18277 | + | 3.99430i | −0.204071 | + | 0.157276i | ||||
\(646\) | −0.774096 | − | 0.251519i | −0.0304564 | − | 0.00989588i | ||||
\(647\) | 17.6799 | + | 12.8452i | 0.695070 | + | 0.504998i | 0.878323 | − | 0.478068i | \(-0.158663\pi\) |
−0.183253 | + | 0.983066i | \(0.558663\pi\) | |||||||
\(648\) | 13.9861 | + | 17.2220i | 0.549425 | + | 0.676546i | ||||
\(649\) | −30.7941 | + | 16.6319i | −1.20877 | + | 0.652861i | ||||
\(650\) | −5.03145 | − | 14.0508i | −0.197350 | − | 0.551117i | ||||
\(651\) | −9.88283 | + | 20.0581i | −0.387339 | + | 0.786138i | ||||
\(652\) | 32.2915 | + | 10.4921i | 1.26463 | + | 0.410904i | ||||
\(653\) | −0.796398 | − | 2.45106i | −0.0311654 | − | 0.0959174i | 0.934264 | − | 0.356583i | \(-0.116058\pi\) |
−0.965429 | + | 0.260665i | \(0.916058\pi\) | |||||||
\(654\) | 3.14500 | + | 3.06158i | 0.122979 | + | 0.119717i | ||||
\(655\) | 24.6837 | − | 25.4281i | 0.964474 | − | 0.993557i | ||||
\(656\) | 3.77012 | + | 11.6032i | 0.147199 | + | 0.453031i | ||||
\(657\) | −0.830689 | − | 30.8965i | −0.0324083 | − | 1.20539i | ||||
\(658\) | 0.192685 | − | 0.265209i | 0.00751166 | − | 0.0103389i | ||||
\(659\) | −35.4001 | −1.37899 | −0.689496 | − | 0.724290i | \(-0.742168\pi\) | ||||
−0.689496 | + | 0.724290i | \(0.742168\pi\) | |||||||
\(660\) | −17.6659 | − | 7.86736i | −0.687643 | − | 0.306236i | ||||
\(661\) | −15.6254 | −0.607759 | −0.303879 | − | 0.952710i | \(-0.598282\pi\) | ||||
−0.303879 | + | 0.952710i | \(0.598282\pi\) | |||||||
\(662\) | 4.24489 | − | 5.84258i | 0.164982 | − | 0.227078i | ||||
\(663\) | −4.49931 | + | 31.1079i | −0.174739 | + | 1.20813i | ||||
\(664\) | −1.53182 | − | 4.71447i | −0.0594463 | − | 0.182957i | ||||
\(665\) | −0.865019 | − | 0.839698i | −0.0335440 | − | 0.0325621i | ||||
\(666\) | 7.11477 | − | 10.3676i | 0.275692 | − | 0.401736i | ||||
\(667\) | 9.75751 | + | 30.0305i | 0.377812 | + | 1.16279i | ||||
\(668\) | 7.67938 | + | 2.49518i | 0.297124 | + | 0.0965415i | ||||
\(669\) | −24.5458 | − | 12.0940i | −0.948997 | − | 0.467581i | ||||
\(670\) | 1.39694 | − | 0.242574i | 0.0539686 | − | 0.00937145i | ||||
\(671\) | −23.2006 | − | 22.1141i | −0.895650 | − | 0.853704i | ||||
\(672\) | 19.8120 | − | 3.41147i | 0.764266 | − | 0.131600i | ||||
\(673\) | 10.9648 | + | 7.96638i | 0.422661 | + | 0.307081i | 0.778708 | − | 0.627387i | \(-0.215876\pi\) |
−0.356047 | + | 0.934468i | \(0.615876\pi\) | |||||||
\(674\) | 5.86425 | + | 1.90541i | 0.225883 | + | 0.0733937i | ||||
\(675\) | −10.1464 | + | 23.9176i | −0.390537 | + | 0.920587i | ||||
\(676\) | −6.11116 | + | 4.44001i | −0.235044 | + | 0.170770i | ||||
\(677\) | 24.4276 | + | 33.6218i | 0.938830 | + | 1.29219i | 0.956314 | + | 0.292342i | \(0.0944346\pi\) |
−0.0174834 | + | 0.999847i | \(0.505565\pi\) | |||||||
\(678\) | −4.36336 | − | 8.28634i | −0.167574 | − | 0.318235i | ||||
\(679\) | −6.25358 | − | 2.03191i | −0.239990 | − | 0.0779775i | ||||
\(680\) | 21.1536 | + | 10.3855i | 0.811202 | + | 0.398265i | ||||
\(681\) | 2.38341 | − | 0.410403i | 0.0913323 | − | 0.0157267i | ||||
\(682\) | 13.3035 | − | 7.18525i | 0.509418 | − | 0.275138i | ||||
\(683\) | −9.96643 | −0.381355 | −0.190677 | − | 0.981653i | \(-0.561068\pi\) | ||||
−0.190677 | + | 0.981653i | \(0.561068\pi\) | |||||||
\(684\) | −0.346469 | + | 1.17267i | −0.0132476 | + | 0.0448383i | ||||
\(685\) | −4.01843 | + | 28.0628i | −0.153536 | + | 1.07222i | ||||
\(686\) | 13.3639 | − | 4.34220i | 0.510237 | − | 0.165786i | ||||
\(687\) | −13.0723 | − | 12.7255i | −0.498738 | − | 0.485509i | ||||
\(688\) | 1.74618 | − | 1.26867i | 0.0665724 | − | 0.0483676i | ||||
\(689\) | 9.09720 | + | 27.9983i | 0.346576 | + | 1.06665i | ||||
\(690\) | −0.331947 | − | 11.7297i | −0.0126370 | − | 0.446541i | ||||
\(691\) | 17.8614 | + | 12.9771i | 0.679480 | + | 0.493671i | 0.873185 | − | 0.487389i | \(-0.162051\pi\) |
−0.193705 | + | 0.981060i | \(0.562051\pi\) | |||||||
\(692\) | − | 24.5461i | − | 0.933102i | ||||||
\(693\) | −4.09033 | − | 19.3871i | −0.155379 | − | 0.736456i | ||||
\(694\) | −11.0002 | −0.417561 | ||||||||
\(695\) | 15.0241 | − | 30.6018i | 0.569898 | − | 1.16079i | ||||
\(696\) | 4.47917 | − | 30.9686i | 0.169783 | − | 1.17386i | ||||
\(697\) | −38.8296 | + | 12.6165i | −1.47078 | + | 0.477884i | ||||
\(698\) | −17.3316 | + | 12.5922i | −0.656013 | + | 0.476621i | ||||
\(699\) | −18.9114 | + | 19.4267i | −0.715296 | + | 0.734786i | ||||
\(700\) | 9.16725 | + | 11.8602i | 0.346489 | + | 0.448273i | ||||
\(701\) | −0.379885 | + | 1.16917i | −0.0143481 | + | 0.0441588i | −0.957974 | − | 0.286854i | \(-0.907390\pi\) |
0.943626 | + | 0.331013i | \(0.107390\pi\) | |||||||
\(702\) | −15.4044 | − | 1.80683i | −0.581400 | − | 0.0681945i | ||||
\(703\) | 1.61369 | 0.0608614 | ||||||||
\(704\) | −4.61590 | − | 2.21419i | −0.173968 | − | 0.0834503i | ||||
\(705\) | −0.304451 | − | 0.854007i | −0.0114663 | − | 0.0321638i | ||||
\(706\) | 7.62366 | − | 10.4931i | 0.286920 | − | 0.394912i | ||||
\(707\) | 1.05189 | − | 3.23738i | 0.0395603 | − | 0.121754i | ||||
\(708\) | −12.8207 | − | 24.3474i | −0.481830 | − | 0.915032i | ||||
\(709\) | 35.8795 | − | 26.0680i | 1.34748 | − | 0.979003i | 0.348349 | − | 0.937365i | \(-0.386742\pi\) |
0.999133 | − | 0.0416377i | \(-0.0132575\pi\) | |||||||
\(710\) | 0.576036 | − | 0.593406i | 0.0216182 | − | 0.0222701i | ||||
\(711\) | 0.536532 | − | 0.412292i | 0.0201215 | − | 0.0154622i | ||||
\(712\) | −12.0786 | + | 37.1741i | −0.452664 | + | 1.39316i | ||||
\(713\) | −22.5975 | − | 16.4180i | −0.846283 | − | 0.614860i | ||||
\(714\) | 1.75963 | + | 10.2190i | 0.0658525 | + | 0.382437i | ||||
\(715\) | 29.5387 | − | 10.8825i | 1.10468 | − | 0.406982i | ||||
\(716\) | 0.403786i | 0.0150902i | ||||||||
\(717\) | 14.0627 | − | 28.5415i | 0.525180 | − | 1.06590i | ||||
\(718\) | −11.5667 | − | 3.75825i | −0.431665 | − | 0.140257i | ||||
\(719\) | 21.3753 | − | 6.94525i | 0.797164 | − | 0.259014i | 0.118012 | − | 0.993012i | \(-0.462348\pi\) |
0.679152 | + | 0.733998i | \(0.262348\pi\) | |||||||
\(720\) | 3.56875 | − | 7.79161i | 0.132999 | − | 0.290376i | ||||
\(721\) | −6.94037 | − | 9.55259i | −0.258473 | − | 0.355757i | ||||
\(722\) | −12.6580 | + | 4.11282i | −0.471080 | + | 0.153063i | ||||
\(723\) | 0.434888 | − | 3.00678i | 0.0161737 | − | 0.111823i | ||||
\(724\) | −0.260428 | − | 0.189212i | −0.00967872 | − | 0.00703200i | ||||
\(725\) | 34.4981 | − | 12.3535i | 1.28123 | − | 0.458796i | ||||
\(726\) | −5.33870 | + | 12.2882i | −0.198138 | + | 0.456059i | ||||
\(727\) | 11.9207i | 0.442113i | 0.975261 | + | 0.221057i | \(0.0709506\pi\) | ||||
−0.975261 | + | 0.221057i | \(0.929049\pi\) | |||||||
\(728\) | −12.2476 | + | 16.8574i | −0.453926 | + | 0.624775i | ||||
\(729\) | 17.5782 | + | 20.4941i | 0.651043 | + | 0.759041i | ||||
\(730\) | 14.3234 | − | 7.56815i | 0.530132 | − | 0.280110i | ||||
\(731\) | 4.24554 | + | 5.84348i | 0.157027 | + | 0.216129i | ||||
\(732\) | 17.5778 | − | 18.0567i | 0.649693 | − | 0.667395i | ||||
\(733\) | −10.7613 | − | 33.1199i | −0.397478 | − | 1.22331i | −0.927015 | − | 0.375025i | \(-0.877634\pi\) |
0.529537 | − | 0.848287i | \(-0.322366\pi\) | |||||||
\(734\) | 0.495018 | − | 1.52351i | 0.0182714 | − | 0.0562337i | ||||
\(735\) | 3.31403 | − | 11.2754i | 0.122240 | − | 0.415898i | ||||
\(736\) | 25.1127i | 0.925665i | ||||||||
\(737\) | 0.538503 | + | 2.94172i | 0.0198360 | + | 0.108360i | ||||
\(738\) | −6.73836 | − | 18.9863i | −0.248042 | − | 0.698895i | ||||
\(739\) | 2.07357 | − | 2.85403i | 0.0762775 | − | 0.104987i | −0.769173 | − | 0.639040i | \(-0.779332\pi\) |
0.845451 | + | 0.534053i | \(0.179332\pi\) | |||||||
\(740\) | −19.8624 | − | 2.84417i | −0.730155 | − | 0.104554i | ||||
\(741\) | −0.927407 | − | 1.76121i | −0.0340691 | − | 0.0646998i | ||||
\(742\) | 5.70863 | + | 7.85726i | 0.209570 | + | 0.288449i | ||||
\(743\) | −29.3251 | − | 40.3625i | −1.07583 | − | 1.48076i | −0.864026 | − | 0.503447i | \(-0.832065\pi\) |
−0.211807 | − | 0.977311i | \(-0.567935\pi\) | |||||||
\(744\) | 12.8967 | + | 24.4918i | 0.472816 | + | 0.897913i | ||||
\(745\) | −2.76700 | + | 19.3234i | −0.101375 | + | 0.707954i | ||||
\(746\) | −12.2869 | + | 16.9115i | −0.449856 | + | 0.619174i | ||||
\(747\) | −2.01775 | − | 5.68531i | −0.0738257 | − | 0.208015i | ||||
\(748\) | −9.23261 | + | 19.2471i | −0.337577 | + | 0.703745i | ||||
\(749\) | − | 6.30147i | − | 0.230251i | ||||||
\(750\) | −13.5946 | + | 0.789331i | −0.496405 | + | 0.0288223i | ||||
\(751\) | 5.26337 | − | 16.1990i | 0.192063 | − | 0.591109i | −0.807935 | − | 0.589271i | \(-0.799415\pi\) |
0.999998 | − | 0.00183792i | \(-0.000585028\pi\) | |||||||
\(752\) | 0.0924172 | + | 0.284431i | 0.00337011 | + | 0.0103721i | ||||
\(753\) | −13.5354 | + | 13.9042i | −0.493259 | + | 0.506699i | ||||
\(754\) | 12.8580 | + | 17.6975i | 0.468259 | + | 0.644503i | ||||
\(755\) | 37.4042 | − | 19.7635i | 1.36128 | − | 0.719269i | ||||
\(756\) | 15.2756 | − | 3.05518i | 0.555569 | − | 0.111116i | ||||
\(757\) | 5.56375 | − | 7.65784i | 0.202218 | − | 0.278329i | −0.695849 | − | 0.718188i | \(-0.744972\pi\) |
0.898067 | + | 0.439859i | \(0.144972\pi\) | |||||||
\(758\) | − | 14.6767i | − | 0.533081i | ||||||
\(759\) | 24.7335 | − | 0.925788i | 0.897768 | − | 0.0336040i | ||||
\(760\) | −1.47033 | + | 0.255317i | −0.0533344 | + | 0.00926132i | ||||
\(761\) | −39.8694 | − | 28.9668i | −1.44526 | − | 1.05005i | −0.986909 | − | 0.161276i | \(-0.948439\pi\) |
−0.458354 | − | 0.888770i | \(-0.651561\pi\) | |||||||
\(762\) | −1.75417 | + | 12.1282i | −0.0635469 | + | 0.439358i | ||||
\(763\) | 6.82484 | − | 2.21753i | 0.247076 | − | 0.0802798i | ||||
\(764\) | 3.52617 | + | 4.85335i | 0.127572 | + | 0.175588i | ||||
\(765\) | 26.0742 | + | 11.9426i | 0.942714 | + | 0.431786i | ||||
\(766\) | 5.66085 | − | 1.83932i | 0.204535 | − | 0.0664574i | ||||
\(767\) | 42.5997 | + | 13.8415i | 1.53819 | + | 0.499787i | ||||
\(768\) | 8.05422 | − | 16.3468i | 0.290632 | − | 0.589863i | ||||
\(769\) | − | 14.5213i | − | 0.523650i | −0.965115 | − | 0.261825i | \(-0.915676\pi\) | ||
0.965115 | − | 0.261825i | \(-0.0843244\pi\) | |||||||
\(770\) | 8.15855 | − | 6.42581i | 0.294014 | − | 0.231570i | ||||
\(771\) | 1.82718 | + | 10.6113i | 0.0658043 | + | 0.382158i | ||||
\(772\) | −19.7263 | − | 14.3320i | −0.709965 | − | 0.515820i | ||||
\(773\) | 4.77507 | − | 14.6962i | 0.171747 | − | 0.528584i | −0.827723 | − | 0.561138i | \(-0.810364\pi\) |
0.999470 | + | 0.0325533i | \(0.0103639\pi\) | |||||||
\(774\) | −2.82613 | + | 2.17171i | −0.101583 | + | 0.0780605i | ||||
\(775\) | −18.2655 | + | 26.7782i | −0.656118 | + | 0.961903i | ||||
\(776\) | −6.58505 | + | 4.78432i | −0.236390 | + | 0.171747i | ||||
\(777\) | −9.57856 | − | 18.1904i | −0.343629 | − | 0.652577i | ||||
\(778\) | −5.72799 | + | 17.6289i | −0.205358 | + | 0.632028i | ||||
\(779\) | 1.51972 | − | 2.09172i | 0.0544497 | − | 0.0749436i | ||||
\(780\) | 8.31096 | + | 23.3128i | 0.297580 | + | 0.834732i | ||||
\(781\) | 1.26268 | + | 1.20354i | 0.0451821 | + | 0.0430661i | ||||
\(782\) | −12.9531 | −0.463201 | ||||||||
\(783\) | 4.43622 | − | 37.8215i | 0.158538 | − | 1.35163i | ||||
\(784\) | −1.19794 | + | 3.68688i | −0.0427836 | + | 0.131674i | ||||
\(785\) | 28.2571 | − | 14.9304i | 1.00854 | − | 0.532889i | ||||
\(786\) | 13.4648 | − | 13.8317i | 0.480273 | − | 0.493360i | ||||
\(787\) | 18.2083 | − | 13.2291i | 0.649057 | − | 0.471568i | −0.213893 | − | 0.976857i | \(-0.568614\pi\) |
0.862950 | + | 0.505290i | \(0.168614\pi\) | |||||||
\(788\) | −8.15523 | + | 2.64980i | −0.290518 | + | 0.0943950i | ||||
\(789\) | 5.96788 | − | 41.2614i | 0.212462 | − | 1.46895i | ||||
\(790\) | 0.318358 | + | 0.156300i | 0.0113267 | + | 0.00556090i | ||||
\(791\) | −15.3114 | −0.544411 | ||||||||
\(792\) | −22.3918 | − | 10.0099i | −0.795656 | − | 0.355687i | ||||
\(793\) | 41.0204i | 1.45668i | ||||||||
\(794\) | −11.2295 | − | 8.15871i | −0.398520 | − | 0.289542i | ||||
\(795\) | 26.8504 | − | 0.759859i | 0.952285 | − | 0.0269494i | ||||
\(796\) | 5.69257 | + | 17.5199i | 0.201768 | + | 0.620978i | ||||
\(797\) | −17.8825 | + | 12.9924i | −0.633429 | + | 0.460213i | −0.857587 | − | 0.514340i | \(-0.828037\pi\) |
0.224157 | + | 0.974553i | \(0.428037\pi\) | |||||||
\(798\) | −0.470530 | − | 0.458049i | −0.0166566 | − | 0.0162148i | ||||
\(799\) | −0.951831 | + | 0.309269i | −0.0336734 | + | 0.0109411i | ||||
\(800\) | 29.1299 | − | 0.865548i | 1.02990 | − | 0.0306018i | ||||
\(801\) | −13.4784 | + | 45.6194i | −0.476235 | + | 1.61188i | ||||
\(802\) | −24.8530 | −0.877590 | ||||||||
\(803\) | 16.2381 | + | 30.0648i | 0.573028 | + | 1.06096i | ||||
\(804\) | −2.31718 | + | 0.398999i | −0.0817205 | + | 0.0140716i | ||||
\(805\) | −17.2217 | − | 8.45513i | −0.606987 | − | 0.298004i | ||||
\(806\) | −18.4037 | − | 5.97973i | −0.648243 | − | 0.210627i | ||||
\(807\) | 20.3770 | + | 38.6974i | 0.717303 | + | 1.36221i | ||||
\(808\) | −2.47677 | − | 3.40898i | −0.0871324 | − | 0.119928i | ||||
\(809\) | −6.51749 | + | 4.73523i | −0.229143 | + | 0.166482i | −0.696433 | − | 0.717622i | \(-0.745230\pi\) |
0.467290 | + | 0.884104i | \(0.345230\pi\) | |||||||
\(810\) | −5.54517 | + | 13.0201i | −0.194837 | + | 0.457479i | ||||
\(811\) | 26.9185 | + | 8.74635i | 0.945236 | + | 0.307126i | 0.740778 | − | 0.671749i | \(-0.234457\pi\) |
0.204458 | + | 0.978875i | \(0.434457\pi\) | |||||||
\(812\) | −17.7753 | − | 12.9145i | −0.623790 | − | 0.453210i | ||||
\(813\) | −38.3618 | + | 6.60558i | −1.34541 | + | 0.231668i | ||||
\(814\) | −1.84487 | + | 13.7782i | −0.0646627 | + | 0.482925i | ||||
\(815\) | 8.62780 | + | 49.6860i | 0.302219 | + | 1.74043i | ||||
\(816\) | −8.48594 | − | 4.18111i | −0.297067 | − | 0.146368i | ||||
\(817\) | −0.435020 | − | 0.141347i | −0.0152194 | − | 0.00494509i | ||||
\(818\) | −1.42839 | − | 4.39614i | −0.0499426 | − | 0.153708i | ||||
\(819\) | −14.3485 | + | 20.9085i | −0.501377 | + | 0.730603i | ||||
\(820\) | −22.3925 | + | 23.0677i | −0.781980 | + | 0.805560i | ||||
\(821\) | 14.6736 | + | 45.1606i | 0.512111 | + | 1.57611i | 0.788479 | + | 0.615062i | \(0.210869\pi\) |
−0.276368 | + | 0.961052i | \(0.589131\pi\) | |||||||
\(822\) | −2.21043 | + | 15.2827i | −0.0770976 | + | 0.533046i | ||||
\(823\) | 4.28607 | − | 5.89927i | 0.149403 | − | 0.205636i | −0.727755 | − | 0.685837i | \(-0.759436\pi\) |
0.877158 | + | 0.480201i | \(0.159436\pi\) | |||||||
\(824\) | −14.6165 | −0.509190 | ||||||||
\(825\) | −1.92636 | − | 28.6581i | −0.0670674 | − | 0.997748i | ||||
\(826\) | 14.7771 | 0.514160 | ||||||||
\(827\) | −28.9978 | + | 39.9121i | −1.00835 | + | 1.38788i | −0.0882956 | + | 0.996094i | \(0.528142\pi\) |
−0.920057 | + | 0.391784i | \(0.871858\pi\) | |||||||
\(828\) | 0.523007 | + | 19.4526i | 0.0181758 | + | 0.676025i | ||||
\(829\) | 8.50821 | + | 26.1856i | 0.295502 | + | 0.909463i | 0.983052 | + | 0.183326i | \(0.0586862\pi\) |
−0.687550 | + | 0.726137i | \(0.741314\pi\) | |||||||
\(830\) | 2.20241 | − | 2.26883i | 0.0764469 | − | 0.0787522i | ||||
\(831\) | 12.1402 | + | 11.8182i | 0.421139 | + | 0.409969i | ||||
\(832\) | 2.02469 | + | 6.23136i | 0.0701936 | + | 0.216034i | ||||
\(833\) | −12.3379 | − | 4.00884i | −0.427484 | − | 0.138898i | ||||
\(834\) | 8.20719 | − | 16.6572i | 0.284192 | − | 0.576793i | ||||
\(835\) | 2.05182 | + | 11.8161i | 0.0710060 | + | 0.408912i | ||||
\(836\) | −0.243420 | − | 1.32974i | −0.00841884 | − | 0.0459902i | ||||
\(837\) | 16.4906 | + | 29.3738i | 0.570000 | + | 1.01531i | ||||
\(838\) | 0.966079 | + | 0.701897i | 0.0333726 | + | 0.0242466i | ||||
\(839\) | 11.3888 | + | 3.70044i | 0.393185 | + | 0.127753i | 0.498935 | − | 0.866639i | \(-0.333725\pi\) |
−0.105751 | + | 0.994393i | \(0.533725\pi\) | |||||||
\(840\) | 11.6057 | + | 15.0589i | 0.400434 | + | 0.519580i | ||||
\(841\) | −19.9902 | + | 14.5237i | −0.689316 | + | 0.500817i | ||||
\(842\) | −7.99069 | − | 10.9982i | −0.275377 | − | 0.379025i | ||||
\(843\) | −20.9926 | + | 11.0541i | −0.723023 | + | 0.380724i | ||||
\(844\) | −5.26138 | − | 1.70953i | −0.181104 | − | 0.0588443i | ||||
\(845\) | −10.0711 | − | 4.94447i | −0.346456 | − | 0.170095i | ||||
\(846\) | −0.165178 | − | 0.465412i | −0.00567892 | − | 0.0160012i | ||||
\(847\) | 13.7101 | + | 17.0841i | 0.471083 | + | 0.587018i | ||||
\(848\) | −8.86041 | −0.304268 | ||||||||
\(849\) | 22.8532 | − | 46.3827i | 0.784321 | − | 1.59185i | ||||
\(850\) | 0.446449 | + | 15.0252i | 0.0153131 | + | 0.515359i | ||||
\(851\) | 24.4236 | − | 7.93572i | 0.837231 | − | 0.272033i | ||||
\(852\) | −0.956656 | + | 0.982722i | −0.0327745 | + | 0.0336675i | ||||
\(853\) | 24.3184 | − | 17.6684i | 0.832647 | − | 0.604954i | −0.0876596 | − | 0.996150i | \(-0.527939\pi\) |
0.920307 | + | 0.391197i | \(0.127939\pi\) | |||||||
\(854\) | 4.18186 | + | 12.8704i | 0.143100 | + | 0.440418i | ||||
\(855\) | −1.78038 | + | 0.358700i | −0.0608879 | + | 0.0122673i | ||||
\(856\) | −6.31073 | − | 4.58501i | −0.215696 | − | 0.156712i | ||||
\(857\) | 23.3578i | 0.797886i | 0.916976 | + | 0.398943i | \(0.130623\pi\) | ||||
−0.916976 | + | 0.398943i | \(0.869377\pi\) | |||||||
\(858\) | 16.0981 | − | 5.90496i | 0.549579 | − | 0.201592i | ||||
\(859\) | 0.342372 | 0.0116816 | 0.00584079 | − | 0.999983i | \(-0.498141\pi\) | ||||
0.00584079 | + | 0.999983i | \(0.498141\pi\) | |||||||
\(860\) | 5.10539 | + | 2.50653i | 0.174092 | + | 0.0854718i | ||||
\(861\) | −32.5998 | − | 4.71511i | −1.11100 | − | 0.160690i | ||||
\(862\) | 12.2586 | − | 3.98307i | 0.417531 | − | 0.135664i | ||||
\(863\) | −29.6404 | + | 21.5350i | −1.00897 | + | 0.733060i | −0.963993 | − | 0.265928i | \(-0.914322\pi\) |
−0.0449774 | + | 0.998988i | \(0.514322\pi\) | |||||||
\(864\) | 12.6507 | − | 27.5173i | 0.430384 | − | 0.936159i | ||||
\(865\) | 32.2344 | − | 17.0319i | 1.09600 | − | 0.579103i | ||||
\(866\) | 1.42051 | − | 4.37187i | 0.0482708 | − | 0.148562i | ||||
\(867\) | 0.977967 | − | 1.98487i | 0.0332135 | − | 0.0674098i | ||||
\(868\) | 19.4359 | 0.659697 | ||||||||
\(869\) | −0.323538 | + | 0.674477i | −0.0109753 | + | 0.0228801i | ||||
\(870\) | 18.8006 | − | 6.70238i | 0.637401 | − | 0.227232i | ||||
\(871\) | 2.24972 | − | 3.09647i | 0.0762287 | − | 0.104920i | ||||
\(872\) | 2.74504 | − | 8.44836i | 0.0929587 | − | 0.286098i | ||||
\(873\) | −7.85460 | + | 6.03578i | −0.265838 | + | 0.204280i | ||||
\(874\) | 0.663620 | − | 0.482148i | 0.0224473 | − | 0.0163089i | ||||
\(875\) | −9.21411 | + | 20.2681i | −0.311494 | + | 0.685187i | ||||
\(876\) | −23.7708 | + | 12.5170i | −0.803141 | + | 0.422912i | ||||
\(877\) | 8.15170 | − | 25.0883i | 0.275263 | − | 0.847173i | −0.713886 | − | 0.700262i | \(-0.753067\pi\) |
0.989150 | − | 0.146912i | \(-0.0469333\pi\) | |||||||
\(878\) | −3.81876 | − | 2.77449i | −0.128877 | − | 0.0936347i | ||||
\(879\) | −41.6478 | + | 7.17140i | −1.40474 | + | 0.241885i | ||||
\(880\) | 0.367760 | + | 9.46736i | 0.0123972 | + | 0.319145i | ||||
\(881\) | 21.4753i | 0.723520i | 0.932271 | + | 0.361760i | \(0.117824\pi\) | ||||
−0.932271 | + | 0.361760i | \(0.882176\pi\) | |||||||
\(882\) | 1.81382 | − | 6.13914i | 0.0610747 | − | 0.206716i | ||||
\(883\) | 43.3915 | + | 14.0988i | 1.46024 | + | 0.474461i | 0.928143 | − | 0.372223i | \(-0.121404\pi\) |
0.532097 | + | 0.846684i | \(0.321404\pi\) | |||||||
\(884\) | 25.9832 | − | 8.44246i | 0.873911 | − | 0.283951i | ||||
\(885\) | 23.0775 | − | 33.7304i | 0.775743 | − | 1.13384i | ||||
\(886\) | −6.37802 | − | 8.77859i | −0.214274 | − | 0.294923i | ||||
\(887\) | 48.7875 | − | 15.8520i | 1.63812 | − | 0.532259i | 0.662006 | − | 0.749498i | \(-0.269705\pi\) |
0.976118 | + | 0.217239i | \(0.0697052\pi\) | |||||||
\(888\) | −25.1866 | − | 3.64288i | −0.845206 | − | 0.122247i | ||||
\(889\) | 16.2091 | + | 11.7766i | 0.543636 | + | 0.394975i | ||||
\(890\) | −24.5651 | + | 4.26563i | −0.823423 | + | 0.142984i | ||||
\(891\) | −27.5682 | − | 11.4452i | −0.923570 | − | 0.383429i | ||||
\(892\) | 23.7844i | 0.796362i | ||||||||
\(893\) | 0.0372530 | − | 0.0512744i | 0.00124662 | − | 0.00171583i | ||||
\(894\) | −1.52205 | + | 10.5233i | −0.0509049 | + | 0.351952i | ||||
\(895\) | −0.530259 | + | 0.280177i | −0.0177246 | + | 0.00936529i | ||||
\(896\) | −12.3741 | − | 17.0315i | −0.413390 | − | 0.568982i | ||||
\(897\) | −22.6978 | − | 22.0957i | −0.757857 | − | 0.737755i | ||||
\(898\) | 1.62896 | + | 5.01341i | 0.0543590 | + | 0.167300i | ||||
\(899\) | 14.6817 | − | 45.1857i | 0.489663 | − | 1.50703i | ||||
\(900\) | 22.5464 | − | 1.27714i | 0.751546 | − | 0.0425713i | ||||
\(901\) | − | 29.6508i | − | 0.987813i | ||||||
\(902\) | 16.1223 | + | 15.3673i | 0.536814 | + | 0.511674i | ||||
\(903\) | 0.988863 | + | 5.74280i | 0.0329073 | + | 0.191108i | ||||
\(904\) | −11.1407 | + | 15.3339i | −0.370535 | + | 0.509998i | ||||
\(905\) | 0.0677721 | − | 0.473288i | 0.00225282 | − | 0.0157326i | ||||
\(906\) | 20.3893 | − | 10.7364i | 0.677388 | − | 0.356694i | ||||
\(907\) | −21.6301 | − | 29.7713i | −0.718217 | − | 0.988541i | −0.999581 | − | 0.0289397i | \(-0.990787\pi\) |
0.281364 | − | 0.959601i | \(-0.409213\pi\) | |||||||
\(908\) | −1.23561 | − | 1.70067i | −0.0410052 | − | 0.0564389i | ||||
\(909\) | −3.12463 | − | 4.06620i | −0.103637 | − | 0.134867i | ||||
\(910\) | −13.1571 | − | 1.88402i | −0.436153 | − | 0.0624545i | ||||
\(911\) | 28.7607 | − | 39.5856i | 0.952883 | − | 1.31153i | 0.00264805 | − | 0.999996i | \(-0.499157\pi\) |
0.950235 | − | 0.311534i | \(-0.100843\pi\) | |||||||
\(912\) | 0.590389 | − | 0.101660i | 0.0195497 | − | 0.00336630i | ||||
\(913\) | 4.82771 | + | 4.60161i | 0.159774 | + | 0.152291i | ||||
\(914\) | 25.6398i | 0.848088i | ||||||||
\(915\) | 35.9092 | + | 10.5543i | 1.18712 | + | 0.348916i | ||||
\(916\) | −4.90016 | + | 15.0811i | −0.161906 | + | 0.498295i | ||||
\(917\) | −9.75266 | − | 30.0156i | −0.322061 | − | 0.991203i | ||||
\(918\) | 14.1934 | + | 6.52520i | 0.468452 | + | 0.215364i | ||||
\(919\) | −3.24014 | − | 4.45967i | −0.106882 | − | 0.147111i | 0.752225 | − | 0.658906i | \(-0.228981\pi\) |
−0.859107 | + | 0.511795i | \(0.828981\pi\) | |||||||
\(920\) | −20.9983 | + | 11.0950i | −0.692292 | + | 0.365792i | ||||
\(921\) | −12.4836 | − | 1.80558i | −0.411349 | − | 0.0594959i | ||||
\(922\) | 3.87474 | − | 5.33312i | 0.127608 | − | 0.175637i | ||||
\(923\) | − | 2.23250i | − | 0.0734836i | ||||||
\(924\) | −13.5447 | + | 10.6371i | −0.445589 | + | 0.349935i | ||||
\(925\) | −10.0470 | − | 28.0571i | −0.330343 | − | 0.922513i | ||||
\(926\) | 0.0359953 | + | 0.0261521i | 0.00118288 | + | 0.000859411i | ||||
\(927\) | −17.7818 | + | 0.478085i | −0.584030 | + | 0.0157024i | ||||
\(928\) | −40.6248 | + | 13.1998i | −1.33357 | + | 0.433305i | ||||
\(929\) | 10.1583 | + | 13.9817i | 0.333282 | + | 0.458723i | 0.942464 | − | 0.334307i | \(-0.108502\pi\) |
−0.609182 | + | 0.793030i | \(0.708502\pi\) | |||||||
\(930\) | −9.96984 | + | 14.5721i | −0.326924 | + | 0.477837i | ||||
\(931\) | 0.781324 | − | 0.253868i | 0.0256069 | − | 0.00832018i | ||||
\(932\) | 22.4121 | + | 7.28214i | 0.734133 | + | 0.238534i | ||||
\(933\) | 3.68199 | + | 1.81415i | 0.120543 | + | 0.0593927i | ||||
\(934\) | − | 19.6150i | − | 0.641823i | ||||||
\(935\) | −31.6820 | + | 1.23069i | −1.03611 | + | 0.0402478i | ||||
\(936\) | 10.4991 | + | 29.5828i | 0.343175 | + | 0.966944i | ||||
\(937\) | 20.1712 | + | 14.6552i | 0.658964 | + | 0.478766i | 0.866313 | − | 0.499501i | \(-0.166483\pi\) |
−0.207349 | + | 0.978267i | \(0.566483\pi\) | |||||||
\(938\) | 0.390193 | − | 1.20089i | 0.0127402 | − | 0.0392104i | ||||
\(939\) | −11.7918 | − | 22.3935i | −0.384811 | − | 0.730786i | ||||
\(940\) | −0.548908 | + | 0.565460i | −0.0179034 | + | 0.0184433i | ||||
\(941\) | 0.979392 | − | 0.711570i | 0.0319273 | − | 0.0231965i | −0.571707 | − | 0.820458i | \(-0.693719\pi\) |
0.603634 | + | 0.797261i | \(0.293719\pi\) | |||||||
\(942\) | 15.4031 | − | 8.11086i | 0.501861 | − | 0.264266i | ||||
\(943\) | 12.7149 | − | 39.1324i | 0.414054 | − | 1.27433i | ||||
\(944\) | −7.92405 | + | 10.9065i | −0.257906 | + | 0.354977i | ||||
\(945\) | 14.6115 | + | 17.9403i | 0.475313 | + | 0.583599i | ||||
\(946\) | 1.70420 | − | 3.55274i | 0.0554085 | − | 0.115510i | ||||
\(947\) | −48.8953 | −1.58888 | −0.794442 | − | 0.607340i | \(-0.792237\pi\) | ||||
−0.794442 | + | 0.607340i | \(0.792237\pi\) | |||||||
\(948\) | −0.527581 | − | 0.259945i | −0.0171350 | − | 0.00844261i | ||||
\(949\) | 13.5137 | − | 41.5908i | 0.438673 | − | 1.35010i | ||||
\(950\) | −0.582149 | − | 0.753160i | −0.0188874 | − | 0.0244357i | ||||
\(951\) | 30.7637 | + | 29.9477i | 0.997581 | + | 0.971121i | ||||
\(952\) | 16.9786 | − | 12.3357i | 0.550279 | − | 0.399801i | ||||
\(953\) | 19.8549 | − | 6.45124i | 0.643162 | − | 0.208976i | 0.0307656 | − | 0.999527i | \(-0.490205\pi\) |
0.612397 | + | 0.790550i | \(0.290205\pi\) | |||||||
\(954\) | 14.6260 | − | 0.393238i | 0.473534 | − | 0.0127315i | ||||
\(955\) | −3.92679 | + | 7.99825i | −0.127068 | + | 0.258817i | ||||
\(956\) | −27.6561 | −0.894463 | ||||||||
\(957\) | 14.4981 | + | 39.5248i | 0.468658 | + | 1.27765i | ||||
\(958\) | − | 6.86200i | − | 0.221701i | ||||||
\(959\) | 20.4251 | + | 14.8397i | 0.659561 | + | 0.479199i | ||||
\(960\) | 5.97588 | − | 0.169116i | 0.192871 | − | 0.00545819i | ||||
\(961\) | 3.40790 | + | 10.4884i | 0.109932 | + | 0.338337i | ||||
\(962\) | 14.3932 | − | 10.4573i | 0.464056 | − | 0.337157i | ||||
\(963\) | −7.82732 | − | 5.37150i | −0.252232 | − | 0.173094i | ||||
\(964\) | −2.51145 | + | 0.816020i | −0.0808884 | + | 0.0262822i | ||||
\(965\) | 5.13345 | − | 35.8496i | 0.165252 | − | 1.15404i | ||||
\(966\) | −9.37418 | − | 4.61876i | −0.301609 | − | 0.148606i | ||||
\(967\) | −35.6672 | −1.14698 | −0.573490 | − | 0.819213i | \(-0.694411\pi\) | ||||
−0.573490 | + | 0.819213i | \(0.694411\pi\) | |||||||
\(968\) | 27.0848 | − | 1.29962i | 0.870539 | − | 0.0417712i | ||||
\(969\) | 0.340200 | + | 1.97570i | 0.0109288 | + | 0.0634688i | ||||
\(970\) | −4.66062 | − | 2.28816i | −0.149644 | − | 0.0734685i | ||||
\(971\) | 4.98955 | + | 1.62120i | 0.160122 | + | 0.0520269i | 0.387981 | − | 0.921667i | \(-0.373173\pi\) |
−0.227859 | + | 0.973694i | \(0.573173\pi\) | |||||||
\(972\) | 9.22629 | − | 21.5788i | 0.295933 | − | 0.692140i | ||||
\(973\) | −17.8454 | − | 24.5620i | −0.572096 | − | 0.787423i | ||||
\(974\) | −7.10586 | + | 5.16271i | −0.227687 | + | 0.165424i | ||||
\(975\) | −24.8480 | + | 27.0903i | −0.795774 | + | 0.867584i | ||||
\(976\) | −11.7418 | − | 3.81514i | −0.375845 | − | 0.122120i | ||||
\(977\) | 16.6058 | + | 12.0648i | 0.531265 | + | 0.385987i | 0.820831 | − | 0.571171i | \(-0.193511\pi\) |
−0.289565 | + | 0.957158i | \(0.593511\pi\) | |||||||
\(978\) | 4.66133 | + | 27.0706i | 0.149053 | + | 0.865623i | ||||
\(979\) | −9.46952 | − | 51.7298i | −0.302647 | − | 1.65329i | ||||
\(980\) | −10.0645 | + | 1.74767i | −0.321499 | + | 0.0558272i | ||||
\(981\) | 3.06316 | − | 10.3677i | 0.0977991 | − | 0.331015i | ||||
\(982\) | −13.5888 | − | 4.41528i | −0.433637 | − | 0.140897i | ||||
\(983\) | −7.11648 | − | 21.9023i | −0.226981 | − | 0.698574i | −0.998085 | − | 0.0618651i | \(-0.980295\pi\) |
0.771104 | − | 0.636709i | \(-0.219705\pi\) | |||||||
\(984\) | −28.4420 | + | 29.2170i | −0.906698 | + | 0.931403i | ||||
\(985\) | −9.13848 | − | 8.87098i | −0.291176 | − | 0.282653i | ||||
\(986\) | −6.80844 | − | 20.9542i | −0.216825 | − | 0.667318i | ||||
\(987\) | −0.799121 | − | 0.115582i | −0.0254363 | − | 0.00367900i | ||||
\(988\) | −1.01694 | + | 1.39970i | −0.0323531 | + | 0.0445302i | ||||
\(989\) | −7.27926 | −0.231467 | ||||||||
\(990\) | −1.02724 | − | 15.6116i | −0.0326479 | − | 0.496168i | ||||
\(991\) | −3.54759 | −0.112693 | −0.0563465 | − | 0.998411i | \(-0.517945\pi\) | ||||
−0.0563465 | + | 0.998411i | \(0.517945\pi\) | |||||||
\(992\) | 22.2101 | − | 30.5695i | 0.705170 | − | 0.970583i | ||||
\(993\) | −17.6048 | − | 2.54628i | −0.558670 | − | 0.0808037i | ||||
\(994\) | −0.227595 | − | 0.700464i | −0.00721886 | − | 0.0222174i | ||||
\(995\) | −19.0576 | + | 19.6323i | −0.604166 | + | 0.622385i | ||||
\(996\) | −3.65767 | + | 3.75734i | −0.115898 | + | 0.119056i | ||||
\(997\) | 1.51195 | + | 4.65329i | 0.0478838 | + | 0.147371i | 0.972140 | − | 0.234403i | \(-0.0753134\pi\) |
−0.924256 | + | 0.381774i | \(0.875313\pi\) | |||||||
\(998\) | 27.0759 | + | 8.79750i | 0.857073 | + | 0.278480i | ||||
\(999\) | −30.7600 | − | 3.60795i | −0.973204 | − | 0.114150i |
(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 | 165.2.r.a.29.13 | yes | 80 | |
3.2 | odd | 2 | inner | 165.2.r.a.29.7 | ✓ | 80 | |
5.2 | odd | 4 | 825.2.bi.h.326.13 | 80 | |||
5.3 | odd | 4 | 825.2.bi.h.326.8 | 80 | |||
5.4 | even | 2 | inner | 165.2.r.a.29.8 | yes | 80 | |
11.8 | odd | 10 | inner | 165.2.r.a.74.14 | yes | 80 | |
15.2 | even | 4 | 825.2.bi.h.326.7 | 80 | |||
15.8 | even | 4 | 825.2.bi.h.326.14 | 80 | |||
15.14 | odd | 2 | inner | 165.2.r.a.29.14 | yes | 80 | |
33.8 | even | 10 | inner | 165.2.r.a.74.8 | yes | 80 | |
55.8 | even | 20 | 825.2.bi.h.701.14 | 80 | |||
55.19 | odd | 10 | inner | 165.2.r.a.74.7 | yes | 80 | |
55.52 | even | 20 | 825.2.bi.h.701.7 | 80 | |||
165.8 | odd | 20 | 825.2.bi.h.701.8 | 80 | |||
165.74 | even | 10 | inner | 165.2.r.a.74.13 | yes | 80 | |
165.107 | odd | 20 | 825.2.bi.h.701.13 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.r.a.29.7 | ✓ | 80 | 3.2 | odd | 2 | inner | |
165.2.r.a.29.8 | yes | 80 | 5.4 | even | 2 | inner | |
165.2.r.a.29.13 | yes | 80 | 1.1 | even | 1 | trivial | |
165.2.r.a.29.14 | yes | 80 | 15.14 | odd | 2 | inner | |
165.2.r.a.74.7 | yes | 80 | 55.19 | odd | 10 | inner | |
165.2.r.a.74.8 | yes | 80 | 33.8 | even | 10 | inner | |
165.2.r.a.74.13 | yes | 80 | 165.74 | even | 10 | inner | |
165.2.r.a.74.14 | yes | 80 | 11.8 | odd | 10 | inner | |
825.2.bi.h.326.7 | 80 | 15.2 | even | 4 | |||
825.2.bi.h.326.8 | 80 | 5.3 | odd | 4 | |||
825.2.bi.h.326.13 | 80 | 5.2 | odd | 4 | |||
825.2.bi.h.326.14 | 80 | 15.8 | even | 4 | |||
825.2.bi.h.701.7 | 80 | 55.52 | even | 20 | |||
825.2.bi.h.701.8 | 80 | 165.8 | odd | 20 | |||
825.2.bi.h.701.13 | 80 | 165.107 | odd | 20 | |||
825.2.bi.h.701.14 | 80 | 55.8 | even | 20 |