Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(2,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.f (of order \(58\), degree \(28\), 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: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(504\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 77.1 | ||
Character | \(\chi\) | \(=\) | 177.77 |
Dual form | 177.2.f.a.23.1 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{43}{58}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.88771 | − | 1.78814i | −1.33481 | − | 1.26440i | −0.938058 | − | 0.346479i | \(-0.887377\pi\) |
−0.396757 | − | 0.917924i | \(-0.629864\pi\) | |||||||
\(3\) | −1.60218 | + | 0.658044i | −0.925019 | + | 0.379922i | ||||
\(4\) | 0.257749 | + | 4.75391i | 0.128875 | + | 2.37695i | ||||
\(5\) | −3.64954 | + | 0.598312i | −1.63213 | + | 0.267573i | −0.907027 | − | 0.421072i | \(-0.861654\pi\) |
−0.725098 | + | 0.688645i | \(0.758206\pi\) | |||||||
\(6\) | 4.20113 | + | 1.62272i | 1.71510 | + | 0.662471i | ||||
\(7\) | −0.920260 | − | 1.73579i | −0.347826 | − | 0.656069i | 0.646445 | − | 0.762961i | \(-0.276255\pi\) |
−0.994271 | + | 0.106892i | \(0.965910\pi\) | |||||||
\(8\) | 4.64745 | − | 5.47140i | 1.64312 | − | 1.93443i | ||||
\(9\) | 2.13396 | − | 2.10861i | 0.711319 | − | 0.702870i | ||||
\(10\) | 7.95915 | + | 5.39644i | 2.51691 | + | 1.70650i | ||||
\(11\) | 5.58591 | + | 0.607504i | 1.68421 | + | 0.183169i | 0.899570 | − | 0.436777i | \(-0.143880\pi\) |
0.784645 | + | 0.619946i | \(0.212845\pi\) | |||||||
\(12\) | −3.54124 | − | 7.44700i | −1.02227 | − | 2.14976i | ||||
\(13\) | 0.293437 | + | 0.634254i | 0.0813848 | + | 0.175910i | 0.943996 | − | 0.329958i | \(-0.107034\pi\) |
−0.862611 | + | 0.505868i | \(0.831172\pi\) | |||||||
\(14\) | −1.36665 | + | 4.92223i | −0.365253 | + | 1.31552i | ||||
\(15\) | 5.45351 | − | 3.36016i | 1.40809 | − | 0.867591i | ||||
\(16\) | −9.09068 | + | 0.988672i | −2.27267 | + | 0.247168i | ||||
\(17\) | 0.992908 | + | 0.526407i | 0.240816 | + | 0.127672i | 0.584446 | − | 0.811433i | \(-0.301312\pi\) |
−0.343630 | + | 0.939105i | \(0.611657\pi\) | |||||||
\(18\) | −7.79878 | + | 0.164644i | −1.83819 | + | 0.0388070i | ||||
\(19\) | 0.211729 | + | 0.127393i | 0.0485738 | + | 0.0292259i | 0.539634 | − | 0.841900i | \(-0.318563\pi\) |
−0.491060 | + | 0.871126i | \(0.663390\pi\) | |||||||
\(20\) | −3.78499 | − | 17.1954i | −0.846349 | − | 3.84500i | ||||
\(21\) | 2.61665 | + | 2.17548i | 0.571000 | + | 0.474729i | ||||
\(22\) | −9.45829 | − | 11.1352i | −2.01651 | − | 2.37402i | ||||
\(23\) | −1.25446 | + | 3.14845i | −0.261573 | + | 0.656498i | −0.999838 | − | 0.0180130i | \(-0.994266\pi\) |
0.738265 | + | 0.674511i | \(0.235645\pi\) | |||||||
\(24\) | −3.84562 | + | 11.8244i | −0.784984 | + | 2.41364i | ||||
\(25\) | 8.22293 | − | 2.77063i | 1.64459 | − | 0.554125i | ||||
\(26\) | 0.580207 | − | 1.72199i | 0.113788 | − | 0.337711i | ||||
\(27\) | −2.03142 | + | 4.78261i | −0.390947 | + | 0.920413i | ||||
\(28\) | 8.01461 | − | 4.82223i | 1.51462 | − | 0.911316i | ||||
\(29\) | 3.31532 | + | 3.49994i | 0.615640 | + | 0.649923i | 0.957027 | − | 0.290000i | \(-0.0936552\pi\) |
−0.341387 | + | 0.939923i | \(0.610897\pi\) | |||||||
\(30\) | −16.3031 | − | 3.40859i | −2.97652 | − | 0.622320i | ||||
\(31\) | −0.316746 | − | 0.526437i | −0.0568893 | − | 0.0945508i | 0.827107 | − | 0.562044i | \(-0.189985\pi\) |
−0.883997 | + | 0.467493i | \(0.845157\pi\) | |||||||
\(32\) | 7.49852 | + | 5.70022i | 1.32556 | + | 1.00767i | ||||
\(33\) | −9.34939 | + | 2.70244i | −1.62752 | + | 0.470435i | ||||
\(34\) | −0.933039 | − | 2.76916i | −0.160015 | − | 0.474907i | ||||
\(35\) | 4.39708 | + | 5.78426i | 0.743242 | + | 0.977718i | ||||
\(36\) | 10.5742 | + | 9.60114i | 1.76236 | + | 1.60019i | ||||
\(37\) | 3.47371 | − | 2.95060i | 0.571074 | − | 0.485075i | −0.314700 | − | 0.949191i | \(-0.601904\pi\) |
0.885774 | + | 0.464116i | \(0.153628\pi\) | |||||||
\(38\) | −0.171887 | − | 0.619080i | −0.0278837 | − | 0.100428i | ||||
\(39\) | −0.887505 | − | 0.823093i | −0.142115 | − | 0.131800i | ||||
\(40\) | −13.6875 | + | 22.7487i | −2.16418 | + | 3.59689i | ||||
\(41\) | 6.17403 | − | 2.45996i | 0.964221 | − | 0.384181i | 0.165719 | − | 0.986173i | \(-0.447006\pi\) |
0.798502 | + | 0.601992i | \(0.205626\pi\) | |||||||
\(42\) | −1.04943 | − | 8.78561i | −0.161930 | − | 1.35565i | ||||
\(43\) | 0.785821 | + | 7.22551i | 0.119837 | + | 1.10188i | 0.887430 | + | 0.460942i | \(0.152489\pi\) |
−0.767593 | + | 0.640937i | \(0.778546\pi\) | |||||||
\(44\) | −1.44825 | + | 26.7115i | −0.218332 | + | 4.02691i | ||||
\(45\) | −6.52636 | + | 8.97223i | −0.972892 | + | 1.33750i | ||||
\(46\) | 7.99792 | − | 3.70023i | 1.17923 | − | 0.545569i | ||||
\(47\) | 0.805550 | − | 4.91364i | 0.117502 | − | 0.716728i | −0.860707 | − | 0.509101i | \(-0.829978\pi\) |
0.978208 | − | 0.207627i | \(-0.0665739\pi\) | |||||||
\(48\) | 13.9143 | − | 7.56610i | 2.00836 | − | 1.09207i | ||||
\(49\) | 1.76221 | − | 2.59906i | 0.251744 | − | 0.371294i | ||||
\(50\) | −20.4768 | − | 9.47357i | −2.89585 | − | 1.33976i | ||||
\(51\) | −1.93722 | − | 0.190020i | −0.271264 | − | 0.0266082i | ||||
\(52\) | −2.93955 | + | 1.55845i | −0.407642 | + | 0.216118i | ||||
\(53\) | 9.97078 | − | 6.76036i | 1.36959 | − | 0.928607i | 0.369593 | − | 0.929194i | \(-0.379497\pi\) |
1.00000 | 0.000587153i | \(0.000186896\pi\) | ||||||||
\(54\) | 12.3867 | − | 5.39573i | 1.68562 | − | 0.734266i | ||||
\(55\) | −20.7495 | + | 1.12500i | −2.79786 | + | 0.151696i | ||||
\(56\) | −13.7741 | − | 3.03190i | −1.84064 | − | 0.405155i | ||||
\(57\) | −0.423057 | − | 0.0647794i | −0.0560353 | − | 0.00858024i | ||||
\(58\) | − | 12.5351i | − | 1.64594i | ||||||
\(59\) | −7.65561 | + | 0.625759i | −0.996676 | + | 0.0814669i | ||||
\(60\) | 17.3795 | + | 25.0594i | 2.24369 | + | 3.23515i | ||||
\(61\) | 0.716621 | − | 0.756528i | 0.0917540 | − | 0.0968635i | −0.678501 | − | 0.734599i | \(-0.737370\pi\) |
0.770255 | + | 0.637736i | \(0.220129\pi\) | |||||||
\(62\) | −0.343414 | + | 1.56015i | −0.0436137 | + | 0.198139i | ||||
\(63\) | −5.62391 | − | 1.76364i | −0.708546 | − | 0.222198i | ||||
\(64\) | −1.00350 | − | 6.12110i | −0.125438 | − | 0.765137i | ||||
\(65\) | −1.45039 | − | 2.13917i | −0.179899 | − | 0.265331i | ||||
\(66\) | 22.4813 | + | 11.6165i | 2.76726 | + | 1.42990i | ||||
\(67\) | 12.3462 | + | 10.4870i | 1.50833 | + | 1.28119i | 0.847694 | + | 0.530485i | \(0.177990\pi\) |
0.660638 | + | 0.750704i | \(0.270286\pi\) | |||||||
\(68\) | −2.24657 | + | 4.85587i | −0.272436 | + | 0.588861i | ||||
\(69\) | −0.0619541 | − | 5.86987i | −0.00745839 | − | 0.706650i | ||||
\(70\) | 2.04262 | − | 18.7816i | 0.244140 | − | 2.24483i | ||||
\(71\) | −1.54277 | − | 0.252925i | −0.183093 | − | 0.0300166i | 0.0695376 | − | 0.997579i | \(-0.477848\pi\) |
−0.252631 | + | 0.967563i | \(0.581296\pi\) | |||||||
\(72\) | −1.61959 | − | 21.4754i | −0.190871 | − | 2.53090i | ||||
\(73\) | 0.828942 | + | 0.230154i | 0.0970203 | + | 0.0269375i | 0.315699 | − | 0.948859i | \(-0.397761\pi\) |
−0.218679 | + | 0.975797i | \(0.570175\pi\) | |||||||
\(74\) | −11.8334 | − | 0.641590i | −1.37561 | − | 0.0745833i | ||||
\(75\) | −11.3514 | + | 9.85009i | −1.31075 | + | 1.13739i | ||||
\(76\) | −0.551041 | + | 1.03937i | −0.0632087 | + | 0.119224i | ||||
\(77\) | −4.08599 | − | 10.2551i | −0.465641 | − | 1.16867i | ||||
\(78\) | 0.203552 | + | 3.14074i | 0.0230477 | + | 0.355619i | ||||
\(79\) | −5.59607 | + | 1.23179i | −0.629607 | + | 0.138587i | −0.518300 | − | 0.855199i | \(-0.673435\pi\) |
−0.111307 | + | 0.993786i | \(0.535504\pi\) | |||||||
\(80\) | 32.5853 | − | 9.04727i | 3.64315 | − | 1.01152i | ||||
\(81\) | 0.107535 | − | 8.99936i | 0.0119483 | − | 0.999929i | ||||
\(82\) | −16.0535 | − | 6.39631i | −1.77282 | − | 0.706354i | ||||
\(83\) | 3.51866 | − | 2.67481i | 0.386223 | − | 0.293599i | −0.393988 | − | 0.919116i | \(-0.628905\pi\) |
0.780211 | + | 0.625517i | \(0.215112\pi\) | |||||||
\(84\) | −9.66760 | + | 13.0000i | −1.05482 | + | 1.41842i | ||||
\(85\) | −3.93862 | − | 1.32707i | −0.427203 | − | 0.143941i | ||||
\(86\) | 11.4368 | − | 15.0448i | 1.23326 | − | 1.62233i | ||||
\(87\) | −7.61486 | − | 3.42591i | −0.816399 | − | 0.367296i | ||||
\(88\) | 29.2841 | − | 27.7394i | 3.12170 | − | 2.95703i | ||||
\(89\) | 0.370720 | − | 0.351165i | 0.0392963 | − | 0.0372234i | −0.667799 | − | 0.744341i | \(-0.732764\pi\) |
0.707096 | + | 0.707118i | \(0.250005\pi\) | |||||||
\(90\) | 28.3635 | − | 5.26698i | 2.98977 | − | 0.555188i | ||||
\(91\) | 0.830896 | − | 1.09302i | 0.0871015 | − | 0.114580i | ||||
\(92\) | −15.2908 | − | 5.15206i | −1.59417 | − | 0.537140i | ||||
\(93\) | 0.853903 | + | 0.635013i | 0.0885456 | + | 0.0658478i | ||||
\(94\) | −10.3069 | + | 7.83510i | −1.06308 | + | 0.808129i | ||||
\(95\) | −0.848933 | − | 0.338246i | −0.0870987 | − | 0.0347033i | ||||
\(96\) | −15.7650 | − | 4.19842i | −1.60901 | − | 0.428500i | ||||
\(97\) | 6.33787 | − | 1.75970i | 0.643513 | − | 0.178671i | 0.0695850 | − | 0.997576i | \(-0.477833\pi\) |
0.573929 | + | 0.818905i | \(0.305419\pi\) | |||||||
\(98\) | −7.97401 | + | 1.75521i | −0.805496 | + | 0.177303i | ||||
\(99\) | 13.2011 | − | 10.4821i | 1.32676 | − | 1.05349i | ||||
\(100\) | 15.2908 | + | 38.3769i | 1.52908 | + | 3.83769i | ||||
\(101\) | −6.08631 | + | 11.4800i | −0.605610 | + | 1.14230i | 0.371272 | + | 0.928524i | \(0.378922\pi\) |
−0.976882 | + | 0.213778i | \(0.931423\pi\) | |||||||
\(102\) | 3.31712 | + | 3.82271i | 0.328444 | + | 0.378505i | ||||
\(103\) | 7.54449 | + | 0.409050i | 0.743380 | + | 0.0403049i | 0.421939 | − | 0.906624i | \(-0.361350\pi\) |
0.321442 | + | 0.946929i | \(0.395833\pi\) | |||||||
\(104\) | 4.83399 | + | 1.34215i | 0.474011 | + | 0.131609i | ||||
\(105\) | −10.8512 | − | 6.37394i | −1.05897 | − | 0.622033i | ||||
\(106\) | −30.9104 | − | 5.06751i | −3.00228 | − | 0.492200i | ||||
\(107\) | −0.695709 | + | 6.39693i | −0.0672567 | + | 0.618415i | 0.911200 | + | 0.411964i | \(0.135157\pi\) |
−0.978457 | + | 0.206451i | \(0.933809\pi\) | |||||||
\(108\) | −23.2597 | − | 8.42448i | −2.23816 | − | 0.810646i | ||||
\(109\) | −0.0624799 | + | 0.135048i | −0.00598449 | + | 0.0129353i | −0.910545 | − | 0.413411i | \(-0.864337\pi\) |
0.904560 | + | 0.426346i | \(0.140199\pi\) | |||||||
\(110\) | 41.1807 | + | 34.9792i | 3.92643 | + | 3.33514i | ||||
\(111\) | −3.62388 | + | 7.01324i | −0.343964 | + | 0.665667i | ||||
\(112\) | 10.0819 | + | 14.8697i | 0.952652 | + | 1.40506i | ||||
\(113\) | 1.60457 | + | 9.78742i | 0.150945 | + | 0.920723i | 0.948338 | + | 0.317262i | \(0.102764\pi\) |
−0.797393 | + | 0.603460i | \(0.793788\pi\) | |||||||
\(114\) | 0.682776 | + | 0.878769i | 0.0639478 | + | 0.0823042i | ||||
\(115\) | 2.69444 | − | 12.2410i | 0.251258 | − | 1.14148i | ||||
\(116\) | −15.7839 | + | 16.6628i | −1.46550 | + | 1.54711i | ||||
\(117\) | 1.96357 | + | 0.734725i | 0.181533 | + | 0.0679254i | ||||
\(118\) | 15.5705 | + | 12.5080i | 1.43338 | + | 1.15146i | ||||
\(119\) | − | 2.20792i | − | 0.202399i | ||||||
\(120\) | 6.96009 | − | 45.4545i | 0.635366 | − | 4.14941i | ||||
\(121\) | 20.0905 | + | 4.42225i | 1.82641 | + | 0.402023i | ||||
\(122\) | −2.70555 | + | 0.146691i | −0.244949 | + | 0.0132807i | ||||
\(123\) | −8.27314 | + | 8.00407i | −0.745964 | + | 0.721703i | ||||
\(124\) | 2.42099 | − | 1.64147i | 0.217411 | − | 0.147409i | ||||
\(125\) | −12.0149 | + | 6.36992i | −1.07465 | + | 0.569743i | ||||
\(126\) | 7.46269 | + | 13.3856i | 0.664829 | + | 1.19248i | ||||
\(127\) | −17.3055 | − | 8.00637i | −1.53561 | − | 0.710451i | −0.543928 | − | 0.839132i | \(-0.683063\pi\) |
−0.991686 | + | 0.128681i | \(0.958926\pi\) | |||||||
\(128\) | 1.52077 | − | 2.24297i | 0.134419 | − | 0.198252i | ||||
\(129\) | −6.01373 | − | 11.0594i | −0.529479 | − | 0.973730i | ||||
\(130\) | −1.08720 | + | 6.63164i | −0.0953539 | + | 0.581633i | ||||
\(131\) | −1.90445 | + | 0.881090i | −0.166392 | + | 0.0769812i | −0.501317 | − | 0.865264i | \(-0.667151\pi\) |
0.334925 | + | 0.942245i | \(0.391289\pi\) | |||||||
\(132\) | −15.2570 | − | 43.7496i | −1.32795 | − | 3.80791i | ||||
\(133\) | 0.0262825 | − | 0.484752i | 0.00227898 | − | 0.0420333i | ||||
\(134\) | −4.55398 | − | 41.8732i | −0.393404 | − | 3.61729i | ||||
\(135\) | 4.55227 | − | 18.6698i | 0.391797 | − | 1.60684i | ||||
\(136\) | 7.49467 | − | 2.98615i | 0.642663 | − | 0.256060i | ||||
\(137\) | 1.56988 | − | 2.60917i | 0.134124 | − | 0.222916i | −0.782515 | − | 0.622632i | \(-0.786063\pi\) |
0.916639 | + | 0.399715i | \(0.130891\pi\) | |||||||
\(138\) | −10.3792 | + | 11.1914i | −0.883534 | + | 0.952676i | ||||
\(139\) | 5.88501 | + | 21.1959i | 0.499160 | + | 1.79781i | 0.596561 | + | 0.802568i | \(0.296533\pi\) |
−0.0974010 | + | 0.995245i | \(0.531053\pi\) | |||||||
\(140\) | −26.3645 | + | 22.3942i | −2.22820 | + | 1.89265i | ||||
\(141\) | 1.94276 | + | 8.40262i | 0.163610 | + | 0.707628i | ||||
\(142\) | 2.46005 | + | 3.23614i | 0.206443 | + | 0.271571i | ||||
\(143\) | 1.25380 | + | 3.72115i | 0.104848 | + | 0.311178i | ||||
\(144\) | −17.3144 | + | 21.2785i | −1.44287 | + | 1.77321i | ||||
\(145\) | −14.1935 | − | 10.7896i | −1.17870 | − | 0.896028i | ||||
\(146\) | −1.15326 | − | 1.91673i | −0.0954441 | − | 0.158629i | ||||
\(147\) | −1.11307 | + | 5.32377i | −0.0918047 | + | 0.439097i | ||||
\(148\) | 14.9222 | + | 15.7532i | 1.22660 | + | 1.29490i | ||||
\(149\) | 13.2521 | − | 7.97355i | 1.08566 | − | 0.653218i | 0.143927 | − | 0.989588i | \(-0.454027\pi\) |
0.941730 | + | 0.336370i | \(0.109199\pi\) | |||||||
\(150\) | 39.0415 | + | 1.70373i | 3.18772 | + | 0.139109i | ||||
\(151\) | 2.28721 | − | 6.78820i | 0.186131 | − | 0.552416i | −0.813442 | − | 0.581646i | \(-0.802409\pi\) |
0.999573 | + | 0.0292300i | \(0.00930552\pi\) | |||||||
\(152\) | 1.68101 | − | 0.566399i | 0.136348 | − | 0.0459411i | ||||
\(153\) | 3.22881 | − | 0.970327i | 0.261034 | − | 0.0784463i | ||||
\(154\) | −10.6243 | + | 26.6649i | −0.856127 | + | 2.14872i | ||||
\(155\) | 1.47095 | + | 1.73174i | 0.118150 | + | 0.139097i | ||||
\(156\) | 3.68416 | − | 4.43127i | 0.294968 | − | 0.354786i | ||||
\(157\) | 1.85065 | + | 8.40761i | 0.147698 | + | 0.671000i | 0.991034 | + | 0.133613i | \(0.0426578\pi\) |
−0.843335 | + | 0.537388i | \(0.819411\pi\) | |||||||
\(158\) | 12.7664 | + | 7.68128i | 1.01564 | + | 0.611089i | ||||
\(159\) | −11.5264 | + | 17.3925i | −0.914100 | + | 1.37932i | ||||
\(160\) | −30.7767 | − | 16.3168i | −2.43311 | − | 1.28995i | ||||
\(161\) | 6.61949 | − | 0.719913i | 0.521689 | − | 0.0567371i | ||||
\(162\) | −16.2951 | + | 16.7959i | −1.28026 | + | 1.31961i | ||||
\(163\) | −1.03181 | + | 3.71624i | −0.0808175 | + | 0.291078i | −0.992904 | − | 0.118920i | \(-0.962057\pi\) |
0.912086 | + | 0.409998i | \(0.134471\pi\) | |||||||
\(164\) | 13.2858 | + | 28.7167i | 1.03744 | + | 2.24240i | ||||
\(165\) | 32.5041 | − | 15.4565i | 2.53044 | − | 1.20329i | ||||
\(166\) | −11.4251 | − | 1.24256i | −0.886763 | − | 0.0964412i | ||||
\(167\) | 0.300816 | + | 0.203958i | 0.0232778 | + | 0.0157828i | 0.572771 | − | 0.819716i | \(-0.305869\pi\) |
−0.549493 | + | 0.835499i | \(0.685179\pi\) | |||||||
\(168\) | 24.0637 | − | 4.20630i | 1.85655 | − | 0.324523i | ||||
\(169\) | 8.09985 | − | 9.53588i | 0.623065 | − | 0.733529i | ||||
\(170\) | 5.06199 | + | 9.54792i | 0.388237 | + | 0.732292i | ||||
\(171\) | 0.720441 | − | 0.174602i | 0.0550935 | − | 0.0133522i | ||||
\(172\) | −34.1468 | + | 5.59809i | −2.60367 | + | 0.426850i | ||||
\(173\) | −1.16863 | − | 21.5541i | −0.0888494 | − | 1.63873i | −0.615134 | − | 0.788422i | \(-0.710898\pi\) |
0.526285 | − | 0.850308i | \(-0.323584\pi\) | |||||||
\(174\) | 8.24867 | + | 20.0835i | 0.625330 | + | 1.52253i | ||||
\(175\) | −12.3765 | − | 11.7236i | −0.935573 | − | 0.886222i | ||||
\(176\) | −51.3803 | −3.87294 | ||||||||
\(177\) | 11.8539 | − | 6.04031i | 0.890993 | − | 0.454018i | ||||
\(178\) | −1.32774 | −0.0995186 | ||||||||
\(179\) | −5.01059 | − | 4.74628i | −0.374509 | − | 0.354754i | 0.477176 | − | 0.878808i | \(-0.341660\pi\) |
−0.851685 | + | 0.524054i | \(0.824419\pi\) | |||||||
\(180\) | −44.3353 | − | 28.7131i | −3.30456 | − | 2.14015i | ||||
\(181\) | −0.573423 | − | 10.5762i | −0.0426222 | − | 0.786120i | −0.939229 | − | 0.343292i | \(-0.888458\pi\) |
0.896607 | − | 0.442828i | \(-0.146025\pi\) | |||||||
\(182\) | −3.52297 | + | 0.577561i | −0.261140 | + | 0.0428117i | ||||
\(183\) | −0.650327 | + | 1.68366i | −0.0480736 | + | 0.124460i | ||||
\(184\) | 11.3964 | + | 21.4959i | 0.840154 | + | 1.58470i | ||||
\(185\) | −10.9121 | + | 12.8467i | −0.802272 | + | 0.944507i | ||||
\(186\) | −0.476434 | − | 2.72562i | −0.0349339 | − | 0.199852i | ||||
\(187\) | 5.22650 | + | 3.54366i | 0.382200 | + | 0.259138i | ||||
\(188\) | 23.5666 | + | 2.56302i | 1.71877 | + | 0.186928i | ||||
\(189\) | 10.1711 | − | 0.875111i | 0.739836 | − | 0.0636550i | ||||
\(190\) | 0.997712 | + | 2.15652i | 0.0723816 | + | 0.156450i | ||||
\(191\) | −2.39397 | + | 8.62230i | −0.173222 | + | 0.623888i | 0.825047 | + | 0.565064i | \(0.191149\pi\) |
−0.998268 | + | 0.0588233i | \(0.981265\pi\) | |||||||
\(192\) | 5.63575 | + | 9.14675i | 0.406725 | + | 0.660110i | ||||
\(193\) | −2.74552 | + | 0.298593i | −0.197627 | + | 0.0214932i | −0.206397 | − | 0.978468i | \(-0.566174\pi\) |
0.00877016 | + | 0.999962i | \(0.497208\pi\) | |||||||
\(194\) | −15.1107 | − | 8.01117i | −1.08488 | − | 0.575168i | ||||
\(195\) | 3.73146 | + | 2.47291i | 0.267215 | + | 0.177089i | ||||
\(196\) | 12.8099 | + | 7.70745i | 0.914992 | + | 0.550532i | ||||
\(197\) | 4.35259 | + | 19.7740i | 0.310109 | + | 1.40884i | 0.831501 | + | 0.555523i | \(0.187482\pi\) |
−0.521392 | + | 0.853317i | \(0.674587\pi\) | |||||||
\(198\) | −43.6633 | − | 3.81810i | −3.10301 | − | 0.271341i | ||||
\(199\) | 0.577222 | + | 0.679558i | 0.0409182 | + | 0.0481726i | 0.782240 | − | 0.622977i | \(-0.214077\pi\) |
−0.741322 | + | 0.671149i | \(0.765801\pi\) | |||||||
\(200\) | 23.0564 | − | 57.8672i | 1.63033 | − | 4.09183i | ||||
\(201\) | −26.6818 | − | 8.67766i | −1.88199 | − | 0.612075i | ||||
\(202\) | 32.0170 | − | 10.7878i | 2.25271 | − | 0.759026i | ||||
\(203\) | 3.02422 | − | 8.97558i | 0.212259 | − | 0.629962i | ||||
\(204\) | 0.404023 | − | 9.25832i | 0.0282872 | − | 0.648212i | ||||
\(205\) | −21.0606 | + | 12.6717i | −1.47093 | + | 0.885031i | ||||
\(206\) | −13.5104 | − | 14.2627i | −0.941313 | − | 0.993732i | ||||
\(207\) | 3.96190 | + | 9.36382i | 0.275371 | + | 0.650830i | ||||
\(208\) | −3.29461 | − | 5.47569i | −0.228440 | − | 0.379671i | ||||
\(209\) | 1.10530 | + | 0.840230i | 0.0764555 | + | 0.0581200i | ||||
\(210\) | 9.08647 | + | 31.4356i | 0.627026 | + | 2.16926i | ||||
\(211\) | −8.01729 | − | 23.7945i | −0.551933 | − | 1.63808i | −0.752643 | − | 0.658429i | \(-0.771221\pi\) |
0.200710 | − | 0.979651i | \(-0.435675\pi\) | |||||||
\(212\) | 34.7081 | + | 45.6577i | 2.38376 | + | 3.13578i | ||||
\(213\) | 2.63823 | − | 0.609982i | 0.180769 | − | 0.0417953i | ||||
\(214\) | 12.7519 | − | 10.8316i | 0.871701 | − | 0.740430i | ||||
\(215\) | −7.19100 | − | 25.8996i | −0.490422 | − | 1.76634i | ||||
\(216\) | 16.7266 | + | 33.3416i | 1.13810 | + | 2.26861i | ||||
\(217\) | −0.622297 | + | 1.03427i | −0.0422443 | + | 0.0702105i | ||||
\(218\) | 0.359428 | − | 0.143209i | 0.0243436 | − | 0.00969936i | ||||
\(219\) | −1.47956 | + | 0.176731i | −0.0999797 | + | 0.0119424i | ||||
\(220\) | −10.6963 | − | 98.3512i | −0.721147 | − | 6.63084i | ||||
\(221\) | −0.0425193 | + | 0.784223i | −0.00286016 | + | 0.0527525i | ||||
\(222\) | 19.3815 | − | 6.75898i | 1.30080 | − | 0.453633i | ||||
\(223\) | 5.49951 | − | 2.54434i | 0.368274 | − | 0.170382i | −0.227019 | − | 0.973890i | \(-0.572898\pi\) |
0.595293 | + | 0.803509i | \(0.297036\pi\) | |||||||
\(224\) | 2.99383 | − | 18.2616i | 0.200034 | − | 1.22015i | ||||
\(225\) | 11.7052 | − | 23.2513i | 0.780346 | − | 1.55009i | ||||
\(226\) | 14.4723 | − | 21.3450i | 0.962681 | − | 1.41985i | ||||
\(227\) | 14.4195 | + | 6.67116i | 0.957054 | + | 0.442780i | 0.835309 | − | 0.549781i | \(-0.185289\pi\) |
0.121745 | + | 0.992561i | \(0.461151\pi\) | |||||||
\(228\) | 0.198913 | − | 2.02787i | 0.0131733 | − | 0.134299i | ||||
\(229\) | −0.0428247 | + | 0.0227042i | −0.00282994 | + | 0.00150034i | −0.469823 | − | 0.882761i | \(-0.655682\pi\) |
0.466993 | + | 0.884261i | \(0.345337\pi\) | |||||||
\(230\) | −26.9749 | + | 18.2894i | −1.77867 | + | 1.20597i | ||||
\(231\) | 13.2948 | + | 13.7417i | 0.874731 | + | 0.904135i | ||||
\(232\) | 34.5574 | − | 1.87365i | 2.26880 | − | 0.123011i | ||||
\(233\) | −17.3864 | − | 3.82703i | −1.13902 | − | 0.250717i | −0.394874 | − | 0.918735i | \(-0.629212\pi\) |
−0.744145 | + | 0.668019i | \(0.767143\pi\) | |||||||
\(234\) | −2.39287 | − | 4.89809i | −0.156427 | − | 0.320198i | ||||
\(235\) | 18.4145i | 1.20123i | ||||||||
\(236\) | −4.94803 | − | 36.2328i | −0.322089 | − | 2.35855i | ||||
\(237\) | 8.15534 | − | 5.65601i | 0.529746 | − | 0.367397i | ||||
\(238\) | −3.94805 | + | 4.16791i | −0.255914 | + | 0.270165i | ||||
\(239\) | −2.85188 | + | 12.9562i | −0.184473 | + | 0.838069i | 0.789919 | + | 0.613212i | \(0.210123\pi\) |
−0.974392 | + | 0.224858i | \(0.927808\pi\) | |||||||
\(240\) | −46.2540 | + | 35.9379i | −2.98568 | + | 2.31978i | ||||
\(241\) | −0.288565 | − | 1.76017i | −0.0185881 | − | 0.113382i | 0.975903 | − | 0.218206i | \(-0.0700205\pi\) |
−0.994491 | + | 0.104824i | \(0.966572\pi\) | |||||||
\(242\) | −30.0175 | − | 44.2724i | −1.92960 | − | 2.84594i | ||||
\(243\) | 5.74968 | + | 14.4893i | 0.368842 | + | 0.929492i | ||||
\(244\) | 3.78117 | + | 3.21176i | 0.242065 | + | 0.205612i | ||||
\(245\) | −4.87620 | + | 10.5397i | −0.311529 | + | 0.673358i | ||||
\(246\) | 29.9297 | − | 0.315895i | 1.90825 | − | 0.0201408i | ||||
\(247\) | −0.0186704 | + | 0.171671i | −0.00118797 | + | 0.0109232i | ||||
\(248\) | −4.35241 | − | 0.713541i | −0.276378 | − | 0.0453099i | ||||
\(249\) | −3.87737 | + | 6.60096i | −0.245718 | + | 0.418319i | ||||
\(250\) | 34.0710 | + | 9.45977i | 2.15484 | + | 0.598289i | ||||
\(251\) | 19.2750 | + | 1.04506i | 1.21663 | + | 0.0659637i | 0.651248 | − | 0.758865i | \(-0.274246\pi\) |
0.565382 | + | 0.824829i | \(0.308729\pi\) | |||||||
\(252\) | 6.93462 | − | 27.1901i | 0.436840 | − | 1.71282i | ||||
\(253\) | −8.91998 | + | 16.8249i | −0.560795 | + | 1.05777i | ||||
\(254\) | 18.3513 | + | 46.0583i | 1.15146 | + | 2.88995i | ||||
\(255\) | 7.18365 | − | 0.465573i | 0.449857 | − | 0.0291553i | ||||
\(256\) | −18.9971 | + | 4.18158i | −1.18732 | + | 0.261349i | ||||
\(257\) | 24.6370 | − | 6.84044i | 1.53682 | − | 0.426695i | 0.606994 | − | 0.794706i | \(-0.292375\pi\) |
0.929821 | + | 0.368012i | \(0.119961\pi\) | |||||||
\(258\) | −8.42361 | + | 31.6304i | −0.524431 | + | 1.96922i | ||||
\(259\) | −8.31834 | − | 3.31433i | −0.516877 | − | 0.205942i | ||||
\(260\) | 9.79557 | − | 7.44640i | 0.607496 | − | 0.461806i | ||||
\(261\) | 14.4548 | + | 0.478005i | 0.894728 | + | 0.0295878i | ||||
\(262\) | 5.17055 | + | 1.74216i | 0.319438 | + | 0.107631i | ||||
\(263\) | −7.55892 | + | 9.94359i | −0.466103 | + | 0.613148i | −0.967746 | − | 0.251927i | \(-0.918936\pi\) |
0.501643 | + | 0.865074i | \(0.332729\pi\) | |||||||
\(264\) | −28.6646 | + | 63.7137i | −1.76419 | + | 3.92131i | ||||
\(265\) | −32.3440 | + | 30.6379i | −1.98688 | + | 1.88207i | ||||
\(266\) | −0.916416 | + | 0.868075i | −0.0561891 | + | 0.0532251i | ||||
\(267\) | −0.362878 | + | 0.806580i | −0.0222078 | + | 0.0493619i | ||||
\(268\) | −46.6719 | + | 61.3959i | −2.85094 | + | 3.75035i | ||||
\(269\) | −8.32274 | − | 2.80426i | −0.507447 | − | 0.170979i | 0.0539210 | − | 0.998545i | \(-0.482828\pi\) |
−0.561368 | + | 0.827567i | \(0.689725\pi\) | |||||||
\(270\) | −41.9774 | + | 27.1031i | −2.55467 | + | 1.64944i | ||||
\(271\) | 11.0800 | − | 8.42283i | 0.673065 | − | 0.511650i | −0.211910 | − | 0.977289i | \(-0.567968\pi\) |
0.884975 | + | 0.465639i | \(0.154175\pi\) | |||||||
\(272\) | −9.54666 | − | 3.80374i | −0.578851 | − | 0.230635i | ||||
\(273\) | −0.611985 | + | 2.29799i | −0.0370390 | + | 0.139080i | ||||
\(274\) | −7.62904 | + | 2.11819i | −0.460887 | + | 0.127965i | ||||
\(275\) | 47.6157 | − | 10.4810i | 2.87133 | − | 0.632028i | ||||
\(276\) | 27.8889 | − | 1.80748i | 1.67871 | − | 0.108797i | ||||
\(277\) | 4.23169 | + | 10.6208i | 0.254258 | + | 0.638139i | 0.999592 | − | 0.0285516i | \(-0.00908951\pi\) |
−0.745334 | + | 0.666691i | \(0.767710\pi\) | |||||||
\(278\) | 26.7919 | − | 50.5350i | 1.60687 | − | 3.03089i | ||||
\(279\) | −1.78597 | − | 0.455498i | −0.106923 | − | 0.0272700i | ||||
\(280\) | 52.0831 | + | 2.82387i | 3.11256 | + | 0.168758i | ||||
\(281\) | −16.2185 | − | 4.50303i | −0.967512 | − | 0.268628i | −0.252388 | − | 0.967626i | \(-0.581216\pi\) |
−0.715124 | + | 0.698998i | \(0.753630\pi\) | |||||||
\(282\) | 11.3577 | − | 19.3356i | 0.676339 | − | 1.15142i | ||||
\(283\) | −13.1175 | − | 2.15051i | −0.779756 | − | 0.127834i | −0.241258 | − | 0.970461i | \(-0.577560\pi\) |
−0.538498 | + | 0.842627i | \(0.681008\pi\) | |||||||
\(284\) | 0.804732 | − | 7.39939i | 0.0477521 | − | 0.439073i | ||||
\(285\) | 1.58272 | − | 0.0167050i | 0.0937525 | − | 0.000989518i | ||||
\(286\) | 4.28710 | − | 9.26642i | 0.253502 | − | 0.547935i | ||||
\(287\) | −9.95169 | − | 8.45304i | −0.587430 | − | 0.498967i | ||||
\(288\) | 28.0210 | − | 3.64741i | 1.65116 | − | 0.214926i | ||||
\(289\) | −8.83142 | − | 13.0254i | −0.519495 | − | 0.766198i | ||||
\(290\) | 7.49993 | + | 45.7475i | 0.440411 | + | 2.68639i | ||||
\(291\) | −8.99645 | + | 6.98996i | −0.527381 | + | 0.409759i | ||||
\(292\) | −0.880474 | + | 4.00003i | −0.0515258 | + | 0.234084i | ||||
\(293\) | −5.71036 | + | 6.02835i | −0.333603 | + | 0.352180i | −0.871118 | − | 0.491074i | \(-0.836604\pi\) |
0.537515 | + | 0.843254i | \(0.319363\pi\) | |||||||
\(294\) | 11.6208 | − | 8.05941i | 0.677738 | − | 0.470034i | ||||
\(295\) | 27.5651 | − | 6.86418i | 1.60490 | − | 0.399648i | ||||
\(296\) | − | 32.7188i | − | 1.90174i | ||||||
\(297\) | −14.2528 | + | 25.4811i | −0.827031 | + | 1.47856i | ||||
\(298\) | −39.2740 | − | 8.64486i | −2.27508 | − | 0.500783i | ||||
\(299\) | −2.36502 | + | 0.128228i | −0.136773 | + | 0.00741560i | ||||
\(300\) | −49.7522 | − | 51.4247i | −2.87245 | − | 2.96901i | ||||
\(301\) | 11.8188 | − | 8.01337i | 0.681226 | − | 0.461883i | ||||
\(302\) | −16.4558 | + | 8.72432i | −0.946926 | + | 0.502028i | ||||
\(303\) | 2.19701 | − | 22.3981i | 0.126215 | − | 1.28674i | ||||
\(304\) | −2.05071 | − | 0.948758i | −0.117616 | − | 0.0544150i | ||||
\(305\) | −2.16270 | + | 3.18975i | −0.123836 | + | 0.182644i | ||||
\(306\) | −7.83014 | − | 3.94185i | −0.447619 | − | 0.225341i | ||||
\(307\) | 2.23523 | − | 13.6343i | 0.127572 | − | 0.778152i | −0.843102 | − | 0.537753i | \(-0.819273\pi\) |
0.970674 | − | 0.240399i | \(-0.0772784\pi\) | |||||||
\(308\) | 47.6984 | − | 22.0676i | 2.71787 | − | 1.25742i | ||||
\(309\) | −12.3568 | + | 4.30923i | −0.702953 | + | 0.245144i | ||||
\(310\) | 0.319850 | − | 5.89929i | 0.0181663 | − | 0.335057i | ||||
\(311\) | 2.83679 | + | 26.0839i | 0.160860 | + | 1.47908i | 0.744802 | + | 0.667286i | \(0.232544\pi\) |
−0.583942 | + | 0.811795i | \(0.698491\pi\) | |||||||
\(312\) | −8.62810 | + | 1.03061i | −0.488470 | + | 0.0583469i | ||||
\(313\) | −10.7095 | + | 4.26707i | −0.605339 | + | 0.241189i | −0.652611 | − | 0.757693i | \(-0.726326\pi\) |
0.0472724 | + | 0.998882i | \(0.484947\pi\) | |||||||
\(314\) | 11.5404 | − | 19.1804i | 0.651265 | − | 1.08241i | ||||
\(315\) | 21.5799 | + | 3.07163i | 1.21589 | + | 0.173067i | ||||
\(316\) | −7.29819 | − | 26.2857i | −0.410555 | − | 1.47869i | ||||
\(317\) | 6.90731 | − | 5.86712i | 0.387953 | − | 0.329530i | −0.432092 | − | 0.901830i | \(-0.642224\pi\) |
0.820045 | + | 0.572299i | \(0.193948\pi\) | |||||||
\(318\) | 52.8587 | − | 12.2214i | 2.96417 | − | 0.685340i | ||||
\(319\) | 16.3929 | + | 21.5644i | 0.917824 | + | 1.20738i | ||||
\(320\) | 7.32466 | + | 21.7388i | 0.409461 | + | 1.21524i | ||||
\(321\) | −3.09482 | − | 10.7068i | −0.172736 | − | 0.597598i | ||||
\(322\) | −13.7830 | − | 10.4776i | −0.768097 | − | 0.583892i | ||||
\(323\) | 0.143167 | + | 0.237945i | 0.00796600 | + | 0.0132396i | ||||
\(324\) | 42.8098 | − | 1.80837i | 2.37832 | − | 0.100465i | ||||
\(325\) | 4.17019 | + | 4.40242i | 0.231321 | + | 0.244202i | ||||
\(326\) | 8.59290 | − | 5.17018i | 0.475917 | − | 0.286350i | ||||
\(327\) | 0.0112364 | − | 0.257486i | 0.000621374 | − | 0.0142390i | ||||
\(328\) | 15.2341 | − | 45.2131i | 0.841160 | − | 2.49647i | ||||
\(329\) | −9.27038 | + | 3.12356i | −0.511093 | + | 0.172207i | ||||
\(330\) | −88.9968 | − | 28.9443i | −4.89911 | − | 1.59333i | ||||
\(331\) | 3.64794 | − | 9.15565i | 0.200509 | − | 0.503240i | −0.793997 | − | 0.607922i | \(-0.792003\pi\) |
0.994506 | + | 0.104682i | \(0.0333825\pi\) | |||||||
\(332\) | 13.6227 | + | 16.0379i | 0.747645 | + | 0.880196i | ||||
\(333\) | 1.19109 | − | 13.6211i | 0.0652713 | − | 0.746434i | ||||
\(334\) | −0.203149 | − | 0.922915i | −0.0111158 | − | 0.0504997i | ||||
\(335\) | −51.3326 | − | 30.8858i | −2.80460 | − | 1.68747i | ||||
\(336\) | −25.9380 | − | 17.1896i | −1.41503 | − | 0.937770i | ||||
\(337\) | 15.4001 | + | 8.16463i | 0.838898 | + | 0.444756i | 0.831705 | − | 0.555218i | \(-0.187365\pi\) |
0.00719374 | + | 0.999974i | \(0.497710\pi\) | |||||||
\(338\) | −32.3416 | + | 3.51737i | −1.75915 | + | 0.191319i | ||||
\(339\) | −9.01135 | − | 14.6253i | −0.489430 | − | 0.794338i | ||||
\(340\) | 5.29361 | − | 19.0659i | 0.287087 | − | 1.03399i | ||||
\(341\) | −1.44950 | − | 3.13305i | −0.0784951 | − | 0.169664i | ||||
\(342\) | −1.67220 | − | 0.958648i | −0.0904221 | − | 0.0518378i | ||||
\(343\) | −19.8051 | − | 2.15393i | −1.06937 | − | 0.116301i | ||||
\(344\) | 43.1857 | + | 29.2806i | 2.32842 | + | 1.57870i | ||||
\(345\) | 3.73812 | + | 21.3853i | 0.201254 | + | 1.15135i | ||||
\(346\) | −36.3357 | + | 42.7777i | −1.95342 | + | 2.29974i | ||||
\(347\) | 2.91249 | + | 5.49354i | 0.156351 | + | 0.294909i | 0.949296 | − | 0.314385i | \(-0.101798\pi\) |
−0.792945 | + | 0.609293i | \(0.791453\pi\) | |||||||
\(348\) | 14.3237 | − | 37.0834i | 0.767832 | − | 1.98788i | ||||
\(349\) | −14.4700 | + | 2.37224i | −0.774561 | + | 0.126983i | −0.536083 | − | 0.844165i | \(-0.680097\pi\) |
−0.238478 | + | 0.971148i | \(0.576648\pi\) | |||||||
\(350\) | 2.39980 | + | 44.2616i | 0.128274 | + | 2.36588i | ||||
\(351\) | −3.62948 | + | 0.114957i | −0.193727 | + | 0.00613596i | ||||
\(352\) | 38.4231 | + | 36.3963i | 2.04796 | + | 1.93993i | ||||
\(353\) | −26.0811 | −1.38816 | −0.694078 | − | 0.719900i | \(-0.744188\pi\) | ||||
−0.694078 | + | 0.719900i | \(0.744188\pi\) | |||||||
\(354\) | −33.1776 | − | 9.79400i | −1.76337 | − | 0.520545i | ||||
\(355\) | 5.78175 | 0.306863 | ||||||||
\(356\) | 1.76496 | + | 1.67186i | 0.0935426 | + | 0.0886083i | ||||
\(357\) | 1.45291 | + | 3.53748i | 0.0768959 | + | 0.187223i | ||||
\(358\) | 0.971552 | + | 17.9192i | 0.0513481 | + | 0.947060i | ||||
\(359\) | 1.02990 | − | 0.168843i | 0.0543558 | − | 0.00891119i | −0.134543 | − | 0.990908i | \(-0.542957\pi\) |
0.188899 | + | 0.981997i | \(0.439508\pi\) | |||||||
\(360\) | 18.7598 | + | 77.4063i | 0.988726 | + | 4.07967i | ||||
\(361\) | −8.87116 | − | 16.7328i | −0.466903 | − | 0.880673i | ||||
\(362\) | −17.8292 | + | 20.9901i | −0.937080 | + | 1.10322i | ||||
\(363\) | −35.0986 | + | 6.13519i | −1.84220 | + | 0.322014i | ||||
\(364\) | 5.41030 | + | 3.66827i | 0.283577 | + | 0.192270i | ||||
\(365\) | −3.16296 | − | 0.343993i | −0.165557 | − | 0.0180054i | ||||
\(366\) | 4.23825 | − | 2.01540i | 0.221537 | − | 0.105346i | ||||
\(367\) | −1.43014 | − | 3.09121i | −0.0746529 | − | 0.161360i | 0.866656 | − | 0.498907i | \(-0.166265\pi\) |
−0.941309 | + | 0.337547i | \(0.890403\pi\) | |||||||
\(368\) | 8.29110 | − | 29.8618i | 0.432203 | − | 1.55666i | ||||
\(369\) | 7.98801 | − | 18.2680i | 0.415839 | − | 0.950997i | ||||
\(370\) | 43.5705 | − | 4.73858i | 2.26512 | − | 0.246347i | ||||
\(371\) | −20.9103 | − | 11.0859i | −1.08561 | − | 0.575554i | ||||
\(372\) | −2.79870 | + | 4.22305i | −0.145106 | + | 0.218955i | ||||
\(373\) | −5.94949 | − | 3.57969i | −0.308053 | − | 0.185349i | 0.353130 | − | 0.935574i | \(-0.385118\pi\) |
−0.661182 | + | 0.750225i | \(0.729945\pi\) | |||||||
\(374\) | −3.52959 | − | 16.0351i | −0.182511 | − | 0.829155i | ||||
\(375\) | 15.0584 | − | 18.1121i | 0.777612 | − | 0.935305i | ||||
\(376\) | −23.1407 | − | 27.2434i | −1.19339 | − | 1.40497i | ||||
\(377\) | −1.24701 | + | 3.12977i | −0.0642245 | + | 0.161191i | ||||
\(378\) | −20.7649 | − | 16.5353i | −1.06803 | − | 0.850483i | ||||
\(379\) | −34.3489 | + | 11.5735i | −1.76438 | + | 0.594490i | −0.998806 | − | 0.0488522i | \(-0.984444\pi\) |
−0.765578 | + | 0.643343i | \(0.777547\pi\) | |||||||
\(380\) | 1.38918 | − | 4.12293i | 0.0712633 | − | 0.211502i | ||||
\(381\) | 32.9950 | + | 1.43987i | 1.69039 | + | 0.0737666i | ||||
\(382\) | 19.9370 | − | 11.9957i | 1.02006 | − | 0.613752i | ||||
\(383\) | −3.58216 | − | 3.78164i | −0.183040 | − | 0.193233i | 0.628018 | − | 0.778199i | \(-0.283866\pi\) |
−0.811058 | + | 0.584966i | \(0.801108\pi\) | |||||||
\(384\) | −0.960575 | + | 4.59438i | −0.0490192 | + | 0.234456i | ||||
\(385\) | 21.0477 | + | 34.9816i | 1.07269 | + | 1.78283i | ||||
\(386\) | 5.71668 | + | 4.34571i | 0.290971 | + | 0.221191i | ||||
\(387\) | 16.9127 | + | 13.7619i | 0.859720 | + | 0.699558i | ||||
\(388\) | 9.99904 | + | 29.6761i | 0.507624 | + | 1.50658i | ||||
\(389\) | 1.85608 | + | 2.44163i | 0.0941069 | + | 0.123795i | 0.840737 | − | 0.541444i | \(-0.182122\pi\) |
−0.746630 | + | 0.665240i | \(0.768329\pi\) | |||||||
\(390\) | −2.62202 | − | 11.3405i | −0.132771 | − | 0.574248i | ||||
\(391\) | −2.90293 | + | 2.46577i | −0.146807 | + | 0.124699i | ||||
\(392\) | −6.03073 | − | 21.7207i | −0.304598 | − | 1.09706i | ||||
\(393\) | 2.47147 | − | 2.66487i | 0.124669 | − | 0.134425i | ||||
\(394\) | 27.1422 | − | 45.1107i | 1.36740 | − | 2.27264i | ||||
\(395\) | 19.6861 | − | 7.84366i | 0.990516 | − | 0.394658i | ||||
\(396\) | 53.2335 | + | 60.0549i | 2.67509 | + | 3.01787i | ||||
\(397\) | 3.24792 | + | 29.8641i | 0.163009 | + | 1.49884i | 0.734713 | + | 0.678379i | \(0.237317\pi\) |
−0.571704 | + | 0.820460i | \(0.693717\pi\) | |||||||
\(398\) | 0.125514 | − | 2.31496i | 0.00629143 | − | 0.116039i | ||||
\(399\) | 0.276879 | + | 0.793954i | 0.0138613 | + | 0.0397474i | ||||
\(400\) | −72.0128 | + | 33.3167i | −3.60064 | + | 1.66583i | ||||
\(401\) | 3.22234 | − | 19.6554i | 0.160916 | − | 0.981543i | −0.775679 | − | 0.631128i | \(-0.782592\pi\) |
0.936594 | − | 0.350415i | \(-0.113960\pi\) | |||||||
\(402\) | 34.8507 | + | 64.0916i | 1.73819 | + | 3.19660i | ||||
\(403\) | 0.240949 | − | 0.355374i | 0.0120025 | − | 0.0177024i | ||||
\(404\) | −56.1436 | − | 25.9748i | −2.79325 | − | 1.29229i | ||||
\(405\) | 4.99197 | + | 32.9079i | 0.248053 | + | 1.63521i | ||||
\(406\) | −21.7584 | + | 11.5356i | −1.07985 | + | 0.572501i | ||||
\(407\) | 21.1963 | − | 14.3715i | 1.05066 | − | 0.712367i | ||||
\(408\) | −10.0428 | + | 9.71617i | −0.497192 | + | 0.481022i | ||||
\(409\) | 19.5954 | − | 1.06243i | 0.968930 | − | 0.0525339i | 0.437125 | − | 0.899401i | \(-0.355997\pi\) |
0.531805 | + | 0.846867i | \(0.321514\pi\) | |||||||
\(410\) | 62.4150 | + | 13.7386i | 3.08246 | + | 0.678500i | ||||
\(411\) | −0.798288 | + | 5.21341i | −0.0393767 | + | 0.257159i | ||||
\(412\) | 35.9712i | 1.77217i | ||||||||
\(413\) | 8.13135 | + | 12.7127i | 0.400117 | + | 0.625552i | ||||
\(414\) | 9.26486 | − | 24.7606i | 0.455343 | − | 1.21692i | ||||
\(415\) | −11.2411 | + | 11.8671i | −0.551805 | + | 0.582533i | ||||
\(416\) | −1.41505 | + | 6.42862i | −0.0693783 | + | 0.315189i | ||||
\(417\) | −23.3767 | − | 30.0870i | −1.14476 | − | 1.47337i | ||||
\(418\) | −0.584050 | − | 3.56255i | −0.0285668 | − | 0.174250i | ||||
\(419\) | −6.25214 | − | 9.22122i | −0.305437 | − | 0.450486i | 0.643733 | − | 0.765250i | \(-0.277385\pi\) |
−0.949170 | + | 0.314764i | \(0.898075\pi\) | |||||||
\(420\) | 27.5042 | − | 53.2285i | 1.34207 | − | 2.59728i | ||||
\(421\) | −21.8321 | − | 18.5444i | −1.06403 | − | 0.903798i | −0.0684477 | − | 0.997655i | \(-0.521805\pi\) |
−0.995586 | + | 0.0938566i | \(0.970080\pi\) | |||||||
\(422\) | −27.4134 | + | 59.2531i | −1.33446 | + | 2.88440i | ||||
\(423\) | −8.64193 | − | 12.1841i | −0.420185 | − | 0.592410i | ||||
\(424\) | 9.35008 | − | 85.9725i | 0.454080 | − | 4.17519i | ||||
\(425\) | 9.62309 | + | 1.57763i | 0.466788 | + | 0.0765261i | ||||
\(426\) | −6.07096 | − | 3.56605i | −0.294139 | − | 0.172776i | ||||
\(427\) | −1.97266 | − | 0.547705i | −0.0954635 | − | 0.0265053i | ||||
\(428\) | −30.5897 | − | 1.65853i | −1.47861 | − | 0.0801680i | ||||
\(429\) | −4.45749 | − | 5.13689i | −0.215210 | − | 0.248011i | ||||
\(430\) | −32.7375 | + | 61.7495i | −1.57874 | + | 2.97783i | ||||
\(431\) | 1.72869 | + | 4.33869i | 0.0832681 | + | 0.208987i | 0.964715 | − | 0.263296i | \(-0.0848094\pi\) |
−0.881447 | + | 0.472283i | \(0.843430\pi\) | |||||||
\(432\) | 13.7386 | − | 45.4856i | 0.660998 | − | 2.18843i | ||||
\(433\) | −8.73619 | + | 1.92298i | −0.419834 | + | 0.0924125i | −0.419863 | − | 0.907587i | \(-0.637922\pi\) |
2.87352e−5 | 1.00000i | \(0.499991\pi\) | ||||||||
\(434\) | 3.02413 | − | 0.839644i | 0.145163 | − | 0.0403042i | ||||
\(435\) | 29.8405 | + | 7.94694i | 1.43074 | + | 0.381027i | ||||
\(436\) | −0.658110 | − | 0.262215i | −0.0315178 | − | 0.0125578i | ||||
\(437\) | −0.666695 | + | 0.506808i | −0.0318923 | + | 0.0242439i | ||||
\(438\) | 3.10901 | + | 2.31205i | 0.148554 | + | 0.110474i | ||||
\(439\) | 28.5994 | + | 9.63625i | 1.36497 | + | 0.459913i | 0.904012 | − | 0.427507i | \(-0.140608\pi\) |
0.460961 | + | 0.887420i | \(0.347505\pi\) | |||||||
\(440\) | −90.2768 | + | 118.757i | −4.30378 | + | 5.66152i | ||||
\(441\) | −1.71993 | − | 9.26208i | −0.0819014 | − | 0.441051i | ||||
\(442\) | 1.48256 | − | 1.40436i | 0.0705183 | − | 0.0667984i | ||||
\(443\) | 21.7524 | − | 20.6050i | 1.03349 | − | 0.978972i | 0.0336976 | − | 0.999432i | \(-0.489272\pi\) |
0.999791 | + | 0.0204600i | \(0.00651307\pi\) | |||||||
\(444\) | −34.2743 | − | 15.4199i | −1.62659 | − | 0.731798i | ||||
\(445\) | −1.14285 | + | 1.50340i | −0.0541765 | + | 0.0712679i | ||||
\(446\) | −14.9311 | − | 5.03088i | −0.707009 | − | 0.238219i | ||||
\(447\) | −15.9854 | + | 21.4955i | −0.756081 | + | 1.01670i | ||||
\(448\) | −9.70149 | + | 7.37488i | −0.458352 | + | 0.348430i | ||||
\(449\) | 37.6127 | + | 14.9863i | 1.77505 | + | 0.707246i | 0.996857 | + | 0.0792244i | \(0.0252444\pi\) |
0.778196 | + | 0.628021i | \(0.216135\pi\) | |||||||
\(450\) | −63.6726 | + | 22.9614i | −3.00156 | + | 1.08241i | ||||
\(451\) | 35.9820 | − | 9.99035i | 1.69433 | − | 0.470427i | ||||
\(452\) | −46.1149 | + | 10.1507i | −2.16906 | + | 0.477447i | ||||
\(453\) | 0.802414 | + | 12.3810i | 0.0377007 | + | 0.581710i | ||||
\(454\) | −15.2909 | − | 38.3772i | −0.717636 | − | 1.80113i | ||||
\(455\) | −2.37842 | + | 4.48618i | −0.111502 | + | 0.210315i | ||||
\(456\) | −2.32057 | + | 2.01365i | −0.108671 | + | 0.0942980i | ||||
\(457\) | 22.9128 | + | 1.24229i | 1.07181 | + | 0.0581121i | 0.581588 | − | 0.813483i | \(-0.302432\pi\) |
0.490226 | + | 0.871595i | \(0.336914\pi\) | |||||||
\(458\) | 0.121439 | + | 0.0337174i | 0.00567447 | + | 0.00157551i | ||||
\(459\) | −4.53461 | + | 3.67934i | −0.211658 | + | 0.171737i | ||||
\(460\) | 58.8869 | + | 9.65402i | 2.74562 | + | 0.450121i | ||||
\(461\) | −2.95229 | + | 27.1459i | −0.137502 | + | 1.26431i | 0.698511 | + | 0.715599i | \(0.253846\pi\) |
−0.836013 | + | 0.548710i | \(0.815119\pi\) | |||||||
\(462\) | −0.524702 | − | 49.7132i | −0.0244113 | − | 2.31287i | ||||
\(463\) | 10.7693 | − | 23.2775i | 0.500492 | − | 1.08180i | −0.478536 | − | 0.878068i | \(-0.658832\pi\) |
0.979028 | − | 0.203727i | \(-0.0653056\pi\) | |||||||
\(464\) | −33.5988 | − | 28.5391i | −1.55979 | − | 1.32490i | ||||
\(465\) | −3.49629 | − | 1.80661i | −0.162137 | − | 0.0837794i | ||||
\(466\) | 25.9772 | + | 38.3135i | 1.20337 | + | 1.77484i | ||||
\(467\) | −3.71456 | − | 22.6578i | −0.171889 | − | 1.04848i | −0.922007 | − | 0.387173i | \(-0.873451\pi\) |
0.750118 | − | 0.661304i | \(-0.229997\pi\) | |||||||
\(468\) | −2.98671 | + | 9.52402i | −0.138061 | + | 0.440248i | ||||
\(469\) | 6.84151 | − | 31.0813i | 0.315911 | − | 1.43520i | ||||
\(470\) | 32.9277 | − | 34.7613i | 1.51884 | − | 1.60342i | ||||
\(471\) | −8.49766 | − | 12.2527i | −0.391551 | − | 0.564574i | ||||
\(472\) | −32.1553 | + | 44.7951i | −1.48007 | + | 2.06186i | ||||
\(473\) | 40.8384i | 1.87775i | ||||||||
\(474\) | −25.5086 | − | 3.90594i | −1.17165 | − | 0.179406i | ||||
\(475\) | 2.09399 | + | 0.460921i | 0.0960787 | + | 0.0211485i | ||||
\(476\) | 10.4962 | − | 0.569089i | 0.481094 | − | 0.0260841i | ||||
\(477\) | 7.02226 | − | 35.4508i | 0.321527 | − | 1.62318i | ||||
\(478\) | 28.5511 | − | 19.3581i | 1.30589 | − | 0.885419i | ||||
\(479\) | 25.9401 | − | 13.7526i | 1.18523 | − | 0.628371i | 0.245207 | − | 0.969471i | \(-0.421144\pi\) |
0.940027 | + | 0.341100i | \(0.110799\pi\) | |||||||
\(480\) | 60.0469 | + | 5.88996i | 2.74075 | + | 0.268839i | ||||
\(481\) | 2.89074 | + | 1.33740i | 0.131806 | + | 0.0609801i | ||||
\(482\) | −2.60269 | + | 3.83868i | −0.118549 | + | 0.174847i | ||||
\(483\) | −10.1319 | + | 5.50935i | −0.461016 | + | 0.250684i | ||||
\(484\) | −15.8447 | + | 96.6481i | −0.720212 | + | 4.39310i | ||||
\(485\) | −22.0775 | + | 10.2141i | −1.00249 | + | 0.463800i | ||||
\(486\) | 15.0552 | − | 37.6329i | 0.682917 | − | 1.70706i | ||||
\(487\) | −1.95938 | + | 36.1387i | −0.0887881 | + | 1.63760i | 0.527126 | + | 0.849787i | \(0.323270\pi\) |
−0.615914 | + | 0.787813i | \(0.711213\pi\) | |||||||
\(488\) | −0.808805 | − | 7.43684i | −0.0366129 | − | 0.336650i | ||||
\(489\) | −0.792307 | − | 6.63306i | −0.0358294 | − | 0.299957i | ||||
\(490\) | 28.0513 | − | 11.1767i | 1.26723 | − | 0.504910i | ||||
\(491\) | 1.75376 | − | 2.91478i | 0.0791463 | − | 0.131542i | −0.814756 | − | 0.579804i | \(-0.803129\pi\) |
0.893902 | + | 0.448262i | \(0.147957\pi\) | |||||||
\(492\) | −40.1830 | − | 37.2667i | −1.81159 | − | 1.68011i | ||||
\(493\) | 1.44942 | + | 5.22033i | 0.0652785 | + | 0.235112i | ||||
\(494\) | 0.342216 | − | 0.290681i | 0.0153970 | − | 0.0130784i | ||||
\(495\) | −41.9063 | + | 46.1533i | −1.88355 | + | 2.07444i | ||||
\(496\) | 3.39992 | + | 4.47251i | 0.152661 | + | 0.200822i | ||||
\(497\) | 0.980727 | + | 2.91069i | 0.0439916 | + | 0.130562i | ||||
\(498\) | 19.1228 | − | 5.52744i | 0.856912 | − | 0.247691i | ||||
\(499\) | 2.50290 | + | 1.90266i | 0.112045 | + | 0.0851745i | 0.659696 | − | 0.751532i | \(-0.270685\pi\) |
−0.547651 | + | 0.836707i | \(0.684478\pi\) | |||||||
\(500\) | −33.3788 | − | 55.4760i | −1.49275 | − | 2.48096i | ||||
\(501\) | −0.616175 | − | 0.128828i | −0.0275287 | − | 0.00575559i | ||||
\(502\) | −34.5170 | − | 36.4392i | −1.54057 | − | 1.62636i | ||||
\(503\) | −21.5686 | + | 12.9774i | −0.961696 | + | 0.578633i | −0.907570 | − | 0.419901i | \(-0.862065\pi\) |
−0.0541258 | + | 0.998534i | \(0.517237\pi\) | |||||||
\(504\) | −35.7864 | + | 22.5742i | −1.59405 | + | 1.00553i | ||||
\(505\) | 15.3436 | − | 45.5383i | 0.682782 | − | 2.02643i | ||||
\(506\) | 46.9235 | − | 15.8104i | 2.08601 | − | 0.702857i | ||||
\(507\) | −6.70238 | + | 20.6082i | −0.297663 | + | 0.915244i | ||||
\(508\) | 33.6011 | − | 84.3323i | 1.49081 | − | 3.74164i | ||||
\(509\) | −2.27247 | − | 2.67536i | −0.100725 | − | 0.118583i | 0.709490 | − | 0.704716i | \(-0.248926\pi\) |
−0.810215 | + | 0.586133i | \(0.800650\pi\) | |||||||
\(510\) | −14.3932 | − | 11.9665i | −0.637340 | − | 0.529884i | ||||
\(511\) | −0.363341 | − | 1.65067i | −0.0160733 | − | 0.0730215i | ||||
\(512\) | 38.6943 | + | 23.2816i | 1.71006 | + | 1.02891i | ||||
\(513\) | −1.03938 | + | 0.753826i | −0.0458897 | + | 0.0332822i | ||||
\(514\) | −58.7392 | − | 31.1416i | −2.59088 | − | 1.37360i | ||||
\(515\) | −27.7787 | + | 3.02111i | −1.22407 | + | 0.133126i | ||||
\(516\) | 51.0256 | − | 31.4393i | 2.24628 | − | 1.38404i | ||||
\(517\) | 7.48478 | − | 26.9578i | 0.329180 | − | 1.18560i | ||||
\(518\) | 9.77616 | + | 21.1308i | 0.429540 | + | 0.928436i | ||||
\(519\) | 16.0559 | + | 33.7646i | 0.704777 | + | 1.48210i | ||||
\(520\) | −18.4449 | − | 2.00600i | −0.808861 | − | 0.0879689i | ||||
\(521\) | 24.2007 | + | 16.4085i | 1.06025 | + | 0.718868i | 0.961099 | − | 0.276204i | \(-0.0890765\pi\) |
0.0991524 | + | 0.995072i | \(0.468387\pi\) | |||||||
\(522\) | −26.4317 | − | 26.7494i | −1.15688 | − | 1.17079i | ||||
\(523\) | −18.5808 | + | 21.8750i | −0.812483 | + | 0.956529i | −0.999667 | − | 0.0257957i | \(-0.991788\pi\) |
0.187184 | + | 0.982325i | \(0.440064\pi\) | |||||||
\(524\) | −4.67949 | − | 8.82646i | −0.204425 | − | 0.385586i | ||||
\(525\) | 27.5440 | + | 10.6391i | 1.20212 | + | 0.464327i | ||||
\(526\) | 32.0496 | − | 5.25426i | 1.39743 | − | 0.229097i | ||||
\(527\) | −0.0373804 | − | 0.689441i | −0.00162832 | − | 0.0300325i | ||||
\(528\) | 82.3205 | − | 33.8105i | 3.58254 | − | 1.47141i | ||||
\(529\) | 8.35881 | + | 7.91789i | 0.363427 | + | 0.344256i | ||||
\(530\) | 115.841 | 5.03181 | ||||||||
\(531\) | −15.0173 | + | 17.4780i | −0.651694 | + | 0.758482i | ||||
\(532\) | 2.31124 | 0.100205 | ||||||||
\(533\) | 3.37192 | + | 3.19406i | 0.146054 | + | 0.138350i | ||||
\(534\) | 2.12728 | − | 0.873714i | 0.0920566 | − | 0.0378093i | ||||
\(535\) | −1.28835 | − | 23.7621i | −0.0557001 | − | 1.02733i | ||||
\(536\) | 114.757 | − | 18.8134i | 4.95674 | − | 0.812617i | ||||
\(537\) | 11.1511 | + | 4.30720i | 0.481206 | + | 0.185870i | ||||
\(538\) | 10.6965 | + | 20.1758i | 0.461161 | + | 0.869842i | ||||
\(539\) | 11.4225 | − | 13.4476i | 0.492000 | − | 0.579227i | ||||
\(540\) | 89.9276 | + | 16.8289i | 3.86987 | + | 0.724203i | ||||
\(541\) | 16.0587 | + | 10.8881i | 0.690416 | + | 0.468114i | 0.855256 | − | 0.518207i | \(-0.173400\pi\) |
−0.164839 | + | 0.986320i | \(0.552710\pi\) | |||||||
\(542\) | −35.9771 | − | 3.91274i | −1.54535 | − | 0.168067i | ||||
\(543\) | 7.87831 | + | 16.5676i | 0.338090 | + | 0.710982i | ||||
\(544\) | 4.44470 | + | 9.60707i | 0.190565 | + | 0.411900i | ||||
\(545\) | 0.147222 | − | 0.530246i | 0.00630631 | − | 0.0227133i | ||||
\(546\) | 5.26437 | − | 3.24363i | 0.225294 | − | 0.138814i | ||||
\(547\) | −12.6039 | + | 1.37075i | −0.538903 | + | 0.0586092i | −0.373523 | − | 0.927621i | \(-0.621850\pi\) |
−0.165379 | + | 0.986230i | \(0.552885\pi\) | |||||||
\(548\) | 12.8084 | + | 6.79057i | 0.547147 | + | 0.290079i | ||||
\(549\) | −0.0659835 | − | 3.12547i | −0.00281611 | − | 0.133392i | ||||
\(550\) | −108.626 | − | 65.3582i | −4.63184 | − | 2.78688i | ||||
\(551\) | 0.256081 | + | 1.16339i | 0.0109094 | + | 0.0495619i | ||||
\(552\) | −32.4043 | − | 26.9409i | −1.37922 | − | 1.14668i | ||||
\(553\) | 7.28797 | + | 8.58006i | 0.309916 | + | 0.364861i | ||||
\(554\) | 11.0031 | − | 27.6158i | 0.467478 | − | 1.17328i | ||||
\(555\) | 9.02941 | − | 27.7633i | 0.383277 | − | 1.17849i | ||||
\(556\) | −99.2465 | + | 33.4400i | −4.20899 | + | 1.41817i | ||||
\(557\) | 8.96690 | − | 26.6128i | 0.379940 | − | 1.12762i | −0.571715 | − | 0.820452i | \(-0.693722\pi\) |
0.951655 | − | 0.307169i | \(-0.0993817\pi\) | |||||||
\(558\) | 2.55691 | + | 4.05341i | 0.108243 | + | 0.171595i | ||||
\(559\) | −4.35221 | + | 2.61864i | −0.184079 | + | 0.110757i | ||||
\(560\) | −45.6912 | − | 48.2356i | −1.93080 | − | 2.03833i | ||||
\(561\) | −10.7057 | − | 2.23830i | −0.451994 | − | 0.0945012i | ||||
\(562\) | 22.5637 | + | 37.5012i | 0.951794 | + | 1.58189i | ||||
\(563\) | −31.6499 | − | 24.0596i | −1.33388 | − | 1.01399i | −0.997382 | − | 0.0723074i | \(-0.976964\pi\) |
−0.336500 | − | 0.941684i | \(-0.609243\pi\) | |||||||
\(564\) | −39.4445 | + | 11.4014i | −1.66091 | + | 0.480088i | ||||
\(565\) | −11.7119 | − | 34.7596i | −0.492722 | − | 1.46235i | ||||
\(566\) | 20.9167 | + | 27.5155i | 0.879195 | + | 1.15656i | ||||
\(567\) | −15.7200 | + | 8.09509i | −0.660178 | + | 0.339962i | ||||
\(568\) | −8.55381 | + | 7.26567i | −0.358910 | + | 0.304861i | ||||
\(569\) | 4.66809 | + | 16.8129i | 0.195697 | + | 0.704836i | 0.994637 | + | 0.103426i | \(0.0329804\pi\) |
−0.798941 | + | 0.601410i | \(0.794606\pi\) | |||||||
\(570\) | −3.01760 | − | 2.79859i | −0.126393 | − | 0.117220i | ||||
\(571\) | −15.1433 | + | 25.1683i | −0.633727 | + | 1.05326i | 0.359054 | + | 0.933317i | \(0.383100\pi\) |
−0.992780 | + | 0.119945i | \(0.961728\pi\) | |||||||
\(572\) | −17.3668 | + | 6.91957i | −0.726143 | + | 0.289322i | ||||
\(573\) | −1.83829 | − | 15.3898i | −0.0767955 | − | 0.642918i | ||||
\(574\) | 3.67074 | + | 33.7519i | 0.153214 | + | 1.40878i | ||||
\(575\) | −1.59213 | + | 29.3651i | −0.0663964 | + | 1.22461i | ||||
\(576\) | −15.0484 | − | 10.9462i | −0.627018 | − | 0.456090i | ||||
\(577\) | 31.3989 | − | 14.5267i | 1.30715 | − | 0.604754i | 0.362244 | − | 0.932083i | \(-0.382011\pi\) |
0.944910 | + | 0.327329i | \(0.106149\pi\) | |||||||
\(578\) | −6.61995 | + | 40.3799i | −0.275354 | + | 1.67958i | ||||
\(579\) | 4.20233 | − | 2.28507i | 0.174643 | − | 0.0949644i | ||||
\(580\) | 47.6344 | − | 70.2555i | 1.97791 | − | 2.91720i | ||||
\(581\) | −7.88100 | − | 3.64614i | −0.326959 | − | 0.151267i | ||||
\(582\) | 29.4817 | + | 2.89184i | 1.22206 | + | 0.119871i | ||||
\(583\) | 59.8028 | − | 31.7055i | 2.47678 | − | 1.31311i | ||||
\(584\) | 5.11173 | − | 3.46584i | 0.211525 | − | 0.143417i | ||||
\(585\) | −7.60575 | − | 1.50658i | −0.314459 | − | 0.0622895i | ||||
\(586\) | 21.5590 | − | 1.16890i | 0.890596 | − | 0.0482867i | ||||
\(587\) | −36.0918 | − | 7.94441i | −1.48967 | − | 0.327901i | −0.605793 | − | 0.795623i | \(-0.707144\pi\) |
−0.883876 | + | 0.467722i | \(0.845075\pi\) | |||||||
\(588\) | −25.5956 | − | 3.91925i | −1.05554 | − | 0.161627i | ||||
\(589\) | − | 0.151813i | − | 0.00625534i | ||||||
\(590\) | −64.3091 | − | 36.3325i | −2.64756 | − | 1.49579i | ||||
\(591\) | −19.9858 | − | 28.8173i | −0.822106 | − | 1.18539i | ||||
\(592\) | −28.6612 | + | 30.2573i | −1.17797 | + | 1.24357i | ||||
\(593\) | −0.163957 | + | 0.744863i | −0.00673289 | + | 0.0305878i | −0.979867 | − | 0.199650i | \(-0.936019\pi\) |
0.973134 | + | 0.230238i | \(0.0739505\pi\) | |||||||
\(594\) | 72.4688 | − | 22.6151i | 2.97343 | − | 0.927908i | ||||
\(595\) | 1.32102 | + | 8.05789i | 0.0541567 | + | 0.330341i | ||||
\(596\) | 41.3212 | + | 60.9442i | 1.69258 | + | 2.49637i | ||||
\(597\) | −1.37199 | − | 0.708936i | −0.0561519 | − | 0.0290148i | ||||
\(598\) | 4.69377 | + | 3.98692i | 0.191942 | + | 0.163037i | ||||
\(599\) | 5.02267 | − | 10.8563i | 0.205221 | − | 0.443577i | −0.777448 | − | 0.628947i | \(-0.783486\pi\) |
0.982669 | + | 0.185370i | \(0.0593483\pi\) | |||||||
\(600\) | 1.13869 | + | 107.886i | 0.0464868 | + | 4.40442i | ||||
\(601\) | −3.60001 | + | 33.1016i | −0.146848 | + | 1.35024i | 0.656317 | + | 0.754485i | \(0.272113\pi\) |
−0.803165 | + | 0.595757i | \(0.796852\pi\) | |||||||
\(602\) | −36.6396 | − | 6.00675i | −1.49332 | − | 0.244817i | ||||
\(603\) | 48.4593 | − | 3.65462i | 1.97341 | − | 0.148828i | ||||
\(604\) | 32.8600 | + | 9.12353i | 1.33705 | + | 0.371231i | ||||
\(605\) | −75.9670 | − | 4.11881i | −3.08850 | − | 0.167453i | ||||
\(606\) | −44.1981 | + | 38.3526i | −1.79543 | + | 1.55797i | ||||
\(607\) | 17.5223 | − | 33.0505i | 0.711207 | − | 1.34148i | −0.219464 | − | 0.975621i | \(-0.570431\pi\) |
0.930671 | − | 0.365858i | \(-0.119224\pi\) | |||||||
\(608\) | 0.861482 | + | 2.16216i | 0.0349377 | + | 0.0876870i | ||||
\(609\) | 1.06098 | + | 16.3706i | 0.0429930 | + | 0.663368i | ||||
\(610\) | 9.78626 | − | 2.15412i | 0.396234 | − | 0.0872177i | ||||
\(611\) | 3.35287 | − | 0.930920i | 0.135643 | − | 0.0376610i | ||||
\(612\) | 5.44507 | + | 15.0994i | 0.220104 | + | 0.610355i | ||||
\(613\) | −24.4494 | − | 9.74155i | −0.987504 | − | 0.393457i | −0.180223 | − | 0.983626i | \(-0.557682\pi\) |
−0.807280 | + | 0.590168i | \(0.799061\pi\) | |||||||
\(614\) | −28.5995 | + | 21.7408i | −1.15418 | + | 0.877387i | ||||
\(615\) | 25.4042 | − | 34.1611i | 1.02440 | − | 1.37751i | ||||
\(616\) | −75.0989 | − | 25.3037i | −3.02582 | − | 1.01952i | ||||
\(617\) | −3.71116 | + | 4.88194i | −0.149406 | + | 0.196540i | −0.864707 | − | 0.502276i | \(-0.832496\pi\) |
0.715302 | + | 0.698816i | \(0.246289\pi\) | |||||||
\(618\) | 31.0316 | + | 13.9610i | 1.24827 | + | 0.561595i | ||||
\(619\) | −3.63957 | + | 3.44758i | −0.146287 | + | 0.138570i | −0.757344 | − | 0.653016i | \(-0.773503\pi\) |
0.611057 | + | 0.791587i | \(0.290745\pi\) | |||||||
\(620\) | −7.85340 | + | 7.43913i | −0.315400 | + | 0.298763i | ||||
\(621\) | −12.5095 | − | 12.3954i | −0.501988 | − | 0.497411i | ||||
\(622\) | 41.2865 | − | 54.3114i | 1.65544 | − | 2.17769i | ||||
\(623\) | −0.950709 | − | 0.320331i | −0.0380894 | − | 0.0128338i | ||||
\(624\) | 8.88180 | + | 6.60503i | 0.355557 | + | 0.264413i | ||||
\(625\) | 5.49875 | − | 4.18004i | 0.219950 | − | 0.167202i | ||||
\(626\) | 27.8466 | + | 11.0951i | 1.11297 | + | 0.443450i | ||||
\(627\) | −2.32380 | − | 0.618861i | −0.0928038 | − | 0.0247149i | ||||
\(628\) | −39.4920 | + | 10.9649i | −1.57590 | + | 0.437547i | ||||
\(629\) | 5.00229 | − | 1.10109i | 0.199454 | − | 0.0439032i | ||||
\(630\) | −35.2442 | − | 44.3862i | −1.40416 | − | 1.76839i | ||||
\(631\) | −0.223431 | − | 0.560769i | −0.00889464 | − | 0.0223239i | 0.924462 | − | 0.381273i | \(-0.124514\pi\) |
−0.933357 | + | 0.358949i | \(0.883135\pi\) | |||||||
\(632\) | −19.2678 | + | 36.3430i | −0.766433 | + | 1.44565i | ||||
\(633\) | 28.5030 | + | 32.8473i | 1.13289 | + | 1.30556i | ||||
\(634\) | −23.5302 | − | 1.27577i | −0.934504 | − | 0.0506673i | ||||
\(635\) | 67.9475 | + | 18.8655i | 2.69641 | + | 0.748655i | ||||
\(636\) | −85.6533 | − | 50.3124i | −3.39638 | − | 1.99502i | ||||
\(637\) | 2.16556 | + | 0.355025i | 0.0858025 | + | 0.0140666i | ||||
\(638\) | 7.61515 | − | 70.0201i | 0.301487 | − | 2.77212i | ||||
\(639\) | −3.82553 | + | 2.71337i | −0.151336 | + | 0.107339i | ||||
\(640\) | −4.20813 | + | 9.09572i | −0.166341 | + | 0.359540i | ||||
\(641\) | −19.6404 | − | 16.6827i | −0.775748 | − | 0.658926i | 0.169408 | − | 0.985546i | \(-0.445814\pi\) |
−0.945156 | + | 0.326620i | \(0.894090\pi\) | |||||||
\(642\) | −13.3032 | + | 25.7454i | −0.525034 | + | 1.01609i | ||||
\(643\) | 4.07863 | + | 6.01553i | 0.160846 | + | 0.237230i | 0.899568 | − | 0.436780i | \(-0.143881\pi\) |
−0.738723 | + | 0.674009i | \(0.764571\pi\) | |||||||
\(644\) | 5.12857 | + | 31.2829i | 0.202094 | + | 1.23272i | ||||
\(645\) | 28.5644 | + | 36.7639i | 1.12472 | + | 1.44758i | ||||
\(646\) | 0.155220 | − | 0.705172i | 0.00610706 | − | 0.0277446i | ||||
\(647\) | −22.7094 | + | 23.9740i | −0.892799 | + | 0.942517i | −0.998654 | − | 0.0518647i | \(-0.983484\pi\) |
0.105855 | + | 0.994382i | \(0.466242\pi\) | |||||||
\(648\) | −48.7393 | − | 42.4124i | −1.91466 | − | 1.66612i | ||||
\(649\) | −43.1437 | − | 1.15538i | −1.69354 | − | 0.0453528i | ||||
\(650\) | − | 15.7674i | − | 0.618447i | ||||||
\(651\) | 0.316439 | − | 2.06658i | 0.0124022 | − | 0.0809956i | ||||
\(652\) | −17.9326 | − | 3.94727i | −0.702295 | − | 0.154587i | ||||
\(653\) | −38.9256 | + | 2.11049i | −1.52328 | + | 0.0825897i | −0.796650 | − | 0.604441i | \(-0.793396\pi\) |
−0.726628 | + | 0.687031i | \(0.758914\pi\) | |||||||
\(654\) | −0.481631 | + | 0.465967i | −0.0188332 | + | 0.0182207i | ||||
\(655\) | 6.42319 | − | 4.35503i | 0.250975 | − | 0.170165i | ||||
\(656\) | −53.6940 | + | 28.4668i | −2.09640 | + | 1.11144i | ||||
\(657\) | 2.25423 | − | 1.25677i | 0.0879459 | − | 0.0490314i | ||||
\(658\) | 23.0852 | + | 10.6803i | 0.899953 | + | 0.416363i | ||||
\(659\) | 19.9827 | − | 29.4723i | 0.778415 | − | 1.14808i | −0.207072 | − | 0.978326i | \(-0.566393\pi\) |
0.985487 | − | 0.169751i | \(-0.0542962\pi\) | |||||||
\(660\) | 81.8569 | + | 150.538i | 3.18627 | + | 5.85967i | ||||
\(661\) | 7.23267 | − | 44.1173i | 0.281318 | − | 1.71597i | −0.346878 | − | 0.937910i | \(-0.612758\pi\) |
0.628196 | − | 0.778055i | \(-0.283793\pi\) | |||||||
\(662\) | −23.2578 | + | 10.7602i | −0.903941 | + | 0.418208i | ||||
\(663\) | −0.447930 | − | 1.28444i | −0.0173961 | − | 0.0498837i | ||||
\(664\) | 1.71780 | − | 31.6830i | 0.0666637 | − | 1.22954i | ||||
\(665\) | 0.194114 | + | 1.78485i | 0.00752741 | + | 0.0692134i | ||||
\(666\) | −26.6049 | + | 23.5830i | −1.03092 | + | 0.913821i | ||||
\(667\) | −15.1783 | + | 6.04760i | −0.587708 | + | 0.234164i | ||||
\(668\) | −0.892064 | + | 1.48262i | −0.0345150 | + | 0.0573644i | ||||
\(669\) | −7.13690 | + | 7.69541i | −0.275929 | + | 0.297522i | ||||
\(670\) | 41.6732 | + | 150.093i | 1.60998 | + | 5.79861i | ||||
\(671\) | 4.46257 | − | 3.79055i | 0.172276 | − | 0.146332i | ||||
\(672\) | 7.22026 | + | 31.2284i | 0.278528 | + | 1.20466i | ||||
\(673\) | −3.62626 | − | 4.77027i | −0.139782 | − | 0.183880i | 0.720875 | − | 0.693065i | \(-0.243740\pi\) |
−0.860657 | + | 0.509185i | \(0.829947\pi\) | |||||||
\(674\) | −14.4715 | − | 42.9500i | −0.557423 | − | 1.65437i | ||||
\(675\) | −3.45341 | + | 44.9553i | −0.132922 | + | 1.73033i | ||||
\(676\) | 47.4204 | + | 36.0481i | 1.82386 | + | 1.38646i | ||||
\(677\) | 10.0902 | + | 16.7700i | 0.387797 | + | 0.644524i | 0.987845 | − | 0.155440i | \(-0.0496796\pi\) |
−0.600048 | + | 0.799964i | \(0.704852\pi\) | |||||||
\(678\) | −9.14122 | + | 43.7219i | −0.351066 | + | 1.67913i | ||||
\(679\) | −8.88697 | − | 9.38186i | −0.341051 | − | 0.360043i | ||||
\(680\) | −25.5655 | + | 15.3822i | −0.980391 | + | 0.589882i | ||||
\(681\) | −27.4925 | − | 1.19974i | −1.05351 | − | 0.0459742i | ||||
\(682\) | −2.86608 | + | 8.50621i | −0.109748 | + | 0.325720i | ||||
\(683\) | −14.9367 | + | 5.03276i | −0.571537 | + | 0.192573i | −0.590206 | − | 0.807252i | \(-0.700954\pi\) |
0.0186693 | + | 0.999826i | \(0.494057\pi\) | |||||||
\(684\) | 1.01573 | + | 3.37991i | 0.0388376 | + | 0.129234i | ||||
\(685\) | −4.16827 | + | 10.4616i | −0.159261 | + | 0.399716i | ||||
\(686\) | 33.5348 | + | 39.4802i | 1.28036 | + | 1.50736i | ||||
\(687\) | 0.0536725 | − | 0.0645568i | 0.00204773 | − | 0.00246299i | ||||
\(688\) | −14.2873 | − | 64.9079i | −0.544698 | − | 2.47459i | ||||
\(689\) | 7.21358 | + | 4.34027i | 0.274815 | + | 0.165351i | ||||
\(690\) | 31.1833 | − | 47.0535i | 1.18713 | − | 1.79130i | ||||
\(691\) | 19.3263 | + | 10.2461i | 0.735205 | + | 0.389781i | 0.793542 | − | 0.608516i | \(-0.208235\pi\) |
−0.0583364 | + | 0.998297i | \(0.518580\pi\) | |||||||
\(692\) | 102.165 | − | 11.1111i | 3.88374 | − | 0.422382i | ||||
\(693\) | −30.3432 | − | 13.2681i | −1.15264 | − | 0.504013i | ||||
\(694\) | 4.32525 | − | 15.5781i | 0.164184 | − | 0.591338i | ||||
\(695\) | −34.1594 | − | 73.8343i | −1.29574 | − | 2.80069i | ||||
\(696\) | −54.1342 | + | 25.7422i | −2.05195 | + | 0.975755i | ||||
\(697\) | 7.42518 | + | 0.807537i | 0.281249 | + | 0.0305876i | ||||
\(698\) | 31.5571 | + | 21.3962i | 1.19445 | + | 0.809859i | ||||
\(699\) | 30.3744 | − | 5.30941i | 1.14887 | − | 0.200820i | ||||
\(700\) | 52.5430 | − | 61.8583i | 1.98594 | − | 2.33803i | ||||
\(701\) | −16.5941 | − | 31.2997i | −0.626749 | − | 1.18217i | −0.970040 | − | 0.242945i | \(-0.921886\pi\) |
0.343291 | − | 0.939229i | \(-0.388458\pi\) | |||||||
\(702\) | 7.05697 | + | 6.27300i | 0.266348 | + | 0.236759i | ||||
\(703\) | 1.11137 | − | 0.182200i | 0.0419160 | − | 0.00687178i | ||||
\(704\) | −1.88688 | − | 34.8015i | −0.0711146 | − | 1.31163i | ||||
\(705\) | −12.1176 | − | 29.5033i | −0.456374 | − | 1.11116i | ||||
\(706\) | 49.2336 | + | 46.6365i | 1.85293 | + | 1.75519i | ||||
\(707\) | 25.5279 | 0.960075 | ||||||||
\(708\) | 31.7704 | + | 54.7954i | 1.19400 | + | 2.05934i | ||||
\(709\) | −32.4579 | −1.21898 | −0.609491 | − | 0.792793i | \(-0.708626\pi\) | ||||
−0.609491 | + | 0.792793i | \(0.708626\pi\) | |||||||
\(710\) | −10.9143 | − | 10.3385i | −0.409605 | − | 0.387999i | ||||
\(711\) | −9.34441 | + | 14.4285i | −0.350443 | + | 0.541111i | ||||
\(712\) | −0.198460 | − | 3.66038i | −0.00743760 | − | 0.137179i | ||||
\(713\) | 2.05481 | − | 0.336868i | 0.0769531 | − | 0.0126158i | ||||
\(714\) | 3.58282 | − | 9.27573i | 0.134084 | − | 0.347136i | ||||
\(715\) | −6.80221 | − | 12.8303i | −0.254388 | − | 0.479827i | ||||
\(716\) | 21.2719 | − | 25.0432i | 0.794968 | − | 0.935909i | ||||
\(717\) | −3.95655 | − | 22.6349i | −0.147760 | − | 0.845315i | ||||
\(718\) | −2.24606 | − | 1.52287i | −0.0838223 | − | 0.0568329i | ||||
\(719\) | −42.9555 | − | 4.67169i | −1.60197 | − | 0.174225i | −0.736944 | − | 0.675954i | \(-0.763732\pi\) |
−0.865025 | + | 0.501729i | \(0.832697\pi\) | |||||||
\(720\) | 50.4585 | − | 88.0162i | 1.88048 | − | 3.28017i | ||||
\(721\) | −6.23286 | − | 13.4721i | −0.232124 | − | 0.501728i | ||||
\(722\) | −13.1743 | + | 47.4495i | −0.490297 | + | 1.76589i | ||||
\(723\) | 1.62060 | + | 2.63021i | 0.0602707 | + | 0.0978187i | ||||
\(724\) | 50.1303 | − | 5.45200i | 1.86308 | − | 0.202622i | ||||
\(725\) | 36.9587 | + | 19.5943i | 1.37261 | + | 0.727713i | ||||
\(726\) | 77.2266 | + | 51.1796i | 2.86615 | + | 1.89945i | ||||
\(727\) | 16.4364 | + | 9.88948i | 0.609594 | + | 0.366781i | 0.786631 | − | 0.617424i | \(-0.211824\pi\) |
−0.177037 | + | 0.984204i | \(0.556651\pi\) | |||||||
\(728\) | −2.11883 | − | 9.62593i | −0.0785290 | − | 0.356761i | ||||
\(729\) | −18.7467 | − | 19.4310i | −0.694320 | − | 0.719666i | ||||
\(730\) | 5.35566 | + | 6.30517i | 0.198222 | + | 0.233365i | ||||
\(731\) | −3.02331 | + | 7.58793i | −0.111821 | + | 0.280650i | ||||
\(732\) | −8.17159 | − | 2.65763i | −0.302031 | − | 0.0982289i | ||||
\(733\) | 0.843171 | − | 0.284097i | 0.0311432 | − | 0.0104934i | −0.303687 | − | 0.952772i | \(-0.598218\pi\) |
0.334830 | + | 0.942279i | \(0.391321\pi\) | |||||||
\(734\) | −2.82780 | + | 8.39260i | −0.104376 | + | 0.309777i | ||||
\(735\) | 0.876935 | − | 20.0953i | 0.0323462 | − | 0.741226i | ||||
\(736\) | −27.3535 | + | 16.4580i | −1.00826 | + | 0.606651i | ||||
\(737\) | 62.5940 | + | 66.0797i | 2.30568 | + | 2.43408i | ||||
\(738\) | −47.7448 | + | 20.2012i | −1.75751 | + | 0.743615i | ||||
\(739\) | −4.66007 | − | 7.74510i | −0.171424 | − | 0.284908i | 0.759221 | − | 0.650833i | \(-0.225580\pi\) |
−0.930644 | + | 0.365925i | \(0.880753\pi\) | |||||||
\(740\) | −63.8846 | − | 48.5638i | −2.34844 | − | 1.78524i | ||||
\(741\) | −0.0830540 | − | 0.287334i | −0.00305107 | − | 0.0105555i | ||||
\(742\) | 19.6495 | + | 58.3176i | 0.721355 | + | 2.14090i | ||||
\(743\) | −22.9466 | − | 30.1858i | −0.841830 | − | 1.10741i | −0.992908 | − | 0.118886i | \(-0.962068\pi\) |
0.151078 | − | 0.988522i | \(-0.451725\pi\) | |||||||
\(744\) | 7.44288 | − | 1.72086i | 0.272869 | − | 0.0630896i | ||||
\(745\) | −43.5936 | + | 37.0287i | −1.59715 | + | 1.35663i | ||||
\(746\) | 4.82995 | + | 17.3959i | 0.176837 | + | 0.636910i | ||||
\(747\) | 1.86852 | − | 13.1274i | 0.0683656 | − | 0.480306i | ||||
\(748\) | −15.4991 | + | 25.7597i | −0.566702 | + | 0.941867i | ||||
\(749\) | 11.7440 | − | 4.67924i | 0.429116 | − | 0.170976i | ||||
\(750\) | −60.8128 | + | 7.26399i | −2.22057 | + | 0.265243i | ||||
\(751\) | −3.65681 | − | 33.6238i | −0.133439 | − | 1.22695i | −0.848998 | − | 0.528397i | \(-0.822793\pi\) |
0.715559 | − | 0.698553i | \(-0.246172\pi\) | |||||||
\(752\) | −2.46503 | + | 45.4648i | −0.0898903 | + | 1.65793i | ||||
\(753\) | −31.5698 | + | 11.0094i | −1.15047 | + | 0.401207i | ||||
\(754\) | 7.95045 | − | 3.67827i | 0.289538 | − | 0.133955i | ||||
\(755\) | −4.28581 | + | 26.1423i | −0.155977 | + | 0.951416i | ||||
\(756\) | 6.78178 | + | 48.1267i | 0.246651 | + | 1.75035i | ||||
\(757\) | −14.4335 | + | 21.2878i | −0.524595 | + | 0.773719i | −0.994014 | − | 0.109256i | \(-0.965153\pi\) |
0.469419 | + | 0.882976i | \(0.344463\pi\) | |||||||
\(758\) | 85.5358 | + | 39.5731i | 3.10680 | + | 1.43736i | ||||
\(759\) | 3.21990 | − | 32.8262i | 0.116875 | − | 1.19152i | ||||
\(760\) | −5.79605 | + | 3.07287i | −0.210245 | + | 0.111465i | ||||
\(761\) | −20.7012 | + | 14.0357i | −0.750417 | + | 0.508795i | −0.875421 | − | 0.483361i | \(-0.839416\pi\) |
0.125004 | + | 0.992156i | \(0.460106\pi\) | |||||||
\(762\) | −59.7105 | − | 61.7177i | −2.16308 | − | 2.23580i | ||||
\(763\) | 0.291913 | − | 0.0158271i | 0.0105680 | − | 0.000572979i | ||||
\(764\) | −41.6067 | − | 9.15832i | −1.50528 | − | 0.331336i | ||||
\(765\) | −11.2031 | + | 5.47309i | −0.405050 | + | 0.197880i | ||||
\(766\) | 13.5440i | 0.489366i | ||||||||
\(767\) | −2.64333 | − | 4.67198i | −0.0954451 | − | 0.168695i | ||||
\(768\) | 27.6851 | − | 19.2006i | 0.999000 | − | 0.692841i | ||||
\(769\) | −6.84335 | + | 7.22443i | −0.246777 | + | 0.260520i | −0.837603 | − | 0.546280i | \(-0.816044\pi\) |
0.590825 | + | 0.806799i | \(0.298802\pi\) | |||||||
\(770\) | 22.8198 | − | 103.671i | 0.822368 | − | 3.73605i | ||||
\(771\) | −34.9716 | + | 27.1719i | −1.25947 | + | 0.978570i | ||||
\(772\) | −2.12714 | − | 12.9750i | −0.0765575 | − | 0.466980i | ||||
\(773\) | −18.1574 | − | 26.7802i | −0.653078 | − | 0.963218i | −0.999682 | − | 0.0252064i | \(-0.991976\pi\) |
0.346604 | − | 0.938011i | \(-0.387335\pi\) | |||||||
\(774\) | −7.31808 | − | 56.2207i | −0.263043 | − | 2.02081i | ||||
\(775\) | −4.06314 | − | 3.45126i | −0.145952 | − | 0.123973i | ||||
\(776\) | 19.8269 | − | 42.8551i | 0.711744 | − | 1.53841i | ||||
\(777\) | 15.5085 | − | 0.163685i | 0.556363 | − | 0.00587218i | ||||
\(778\) | 0.862223 | − | 7.92801i | 0.0309122 | − | 0.284233i | ||||
\(779\) | 1.62060 | + | 0.265684i | 0.0580640 | + | 0.00951910i | ||||
\(780\) | −10.7942 | + | 18.3764i | −0.386494 | + | 0.657980i | ||||
\(781\) | −8.46413 | − | 2.35006i | −0.302871 | − | 0.0840916i | ||||
\(782\) | 9.88902 | + | 0.536167i | 0.353631 | + | 0.0191733i | ||||
\(783\) | −23.4737 | + | 8.74602i | −0.838881 | + | 0.312557i | ||||
\(784\) | −13.4500 | + | 25.3695i | −0.480358 | + | 0.906052i | ||||
\(785\) | −11.7844 | − | 29.5767i | −0.420604 | − | 1.05564i | ||||
\(786\) | −9.43057 | + | 0.611196i | −0.336377 | + | 0.0218007i | ||||
\(787\) | 4.96045 | − | 1.09188i | 0.176821 | − | 0.0389213i | −0.125677 | − | 0.992071i | \(-0.540110\pi\) |
0.302498 | + | 0.953150i | \(0.402179\pi\) | |||||||
\(788\) | −92.8819 | + | 25.7885i | −3.30878 | + | 0.918679i | ||||
\(789\) | 5.56742 | − | 20.9055i | 0.198205 | − | 0.744256i | ||||
\(790\) | −51.1873 | − | 20.3949i | −1.82116 | − | 0.725617i | ||||
\(791\) | 15.5123 | − | 11.7922i | 0.551555 | − | 0.419281i | ||||
\(792\) | 3.99948 | − | 120.943i | 0.142115 | − | 4.29753i | ||||
\(793\) | 0.690114 | + | 0.232526i | 0.0245067 | + | 0.00825725i | ||||
\(794\) | 47.2700 | − | 62.1826i | 1.67755 | − | 2.20678i | ||||
\(795\) | 31.6598 | − | 70.3711i | 1.12286 | − | 2.49581i | ||||
\(796\) | −3.08178 | + | 2.91921i | −0.109231 | + | 0.103469i | ||||
\(797\) | −5.46215 | + | 5.17402i | −0.193479 | + | 0.183273i | −0.778306 | − | 0.627885i | \(-0.783921\pi\) |
0.584827 | + | 0.811158i | \(0.301162\pi\) | |||||||
\(798\) | 0.897030 | − | 1.99385i | 0.0317545 | − | 0.0705817i | ||||
\(799\) | 3.38641 | − | 4.45475i | 0.119803 | − | 0.157598i | ||||
\(800\) | 77.4529 | + | 26.0969i | 2.73838 | + | 0.922666i | ||||
\(801\) | 0.0506312 | − | 1.53108i | 0.00178897 | − | 0.0540979i | ||||
\(802\) | −41.2294 | + | 31.3417i | −1.45586 | + | 1.10672i | ||||
\(803\) | 4.49057 | + | 1.78921i | 0.158469 | + | 0.0631398i | ||||
\(804\) | 34.3756 | − | 129.079i | 1.21233 | − | 4.55228i | ||||
\(805\) | −23.7274 | + | 6.58788i | −0.836281 | + | 0.232192i | ||||
\(806\) | −1.09030 | + | 0.239993i | −0.0384042 | + | 0.00845339i | ||||
\(807\) | 15.1799 | − | 0.983808i | 0.534356 | − | 0.0346317i | ||||
\(808\) | 34.5258 | + | 86.6533i | 1.21461 | + | 3.04845i | ||||
\(809\) | 4.57290 | − | 8.62540i | 0.160774 | − | 0.303253i | −0.790017 | − | 0.613085i | \(-0.789928\pi\) |
0.950791 | + | 0.309833i | \(0.100273\pi\) | |||||||
\(810\) | 49.4204 | − | 71.0470i | 1.73646 | − | 2.49634i | ||||
\(811\) | −19.6471 | − | 1.06524i | −0.689904 | − | 0.0374055i | −0.294146 | − | 0.955760i | \(-0.595035\pi\) |
−0.395758 | + | 0.918355i | \(0.629518\pi\) | |||||||
\(812\) | 43.4486 | + | 12.0634i | 1.52475 | + | 0.423343i | ||||
\(813\) | −12.2096 | + | 20.7860i | −0.428210 | + | 0.728998i | ||||
\(814\) | −65.7107 | − | 10.7727i | −2.30316 | − | 0.377584i | ||||
\(815\) | 1.54216 | − | 14.1799i | 0.0540195 | − | 0.496701i | ||||
\(816\) | 17.7985 | − | 0.187856i | 0.623072 | − | 0.00657626i | ||||
\(817\) | −0.754097 | + | 1.62995i | −0.0263825 | + | 0.0570249i | ||||
\(818\) | −38.8903 | − | 33.0337i | −1.35977 | − | 1.15500i | ||||
\(819\) | −0.531667 | − | 4.08450i | −0.0185779 | − | 0.142724i | ||||
\(820\) | −65.6685 | − | 96.8538i | −2.29324 | − | 3.38228i | ||||
\(821\) | 3.43407 | + | 20.9469i | 0.119850 | + | 0.731051i | 0.976559 | + | 0.215251i | \(0.0690570\pi\) |
−0.856709 | + | 0.515800i | \(0.827495\pi\) | |||||||
\(822\) | 10.8292 | − | 8.41397i | 0.377713 | − | 0.293471i | ||||
\(823\) | −4.04589 | + | 18.3807i | −0.141031 | + | 0.640710i | 0.852068 | + | 0.523431i | \(0.175348\pi\) |
−0.993099 | + | 0.117279i | \(0.962583\pi\) | |||||||
\(824\) | 37.3007 | − | 39.3778i | 1.29943 | − | 1.37179i | ||||
\(825\) | −69.3919 | + | 48.1257i | −2.41592 | + | 1.67552i | ||||
\(826\) | 7.38242 | − | 38.5379i | 0.256867 | − | 1.34090i | ||||
\(827\) | 6.24904i | 0.217300i | 0.994080 | + | 0.108650i | \(0.0346528\pi\) | ||||
−0.994080 | + | 0.108650i | \(0.965347\pi\) | |||||||
\(828\) | −43.4935 | + | 21.2480i | −1.51151 | + | 0.738419i | ||||
\(829\) | 9.46208 | + | 2.08276i | 0.328631 | + | 0.0723373i | 0.376222 | − | 0.926530i | \(-0.377223\pi\) |
−0.0475902 | + | 0.998867i | \(0.515154\pi\) | |||||||
\(830\) | 42.4400 | − | 2.30103i | 1.47311 | − | 0.0798699i | ||||
\(831\) | −13.7689 | − | 14.2317i | −0.477636 | − | 0.493692i | ||||
\(832\) | 3.58786 | − | 2.43263i | 0.124387 | − | 0.0843363i | ||||
\(833\) | 3.11787 | − | 1.65299i | 0.108028 | − | 0.0572727i | ||||
\(834\) | −9.67125 | + | 98.5964i | −0.334888 | + | 3.41411i | ||||
\(835\) | −1.21987 | − | 0.564373i | −0.0422154 | − | 0.0195309i | ||||
\(836\) | −3.70949 | + | 5.47108i | −0.128295 | + | 0.189221i | ||||
\(837\) | 3.16119 | − | 0.445459i | 0.109267 | − | 0.0153973i | ||||
\(838\) | −4.68655 | + | 28.5867i | −0.161894 | + | 0.987511i | ||||
\(839\) | 40.9266 | − | 18.9346i | 1.41294 | − | 0.653696i | 0.442886 | − | 0.896578i | \(-0.353955\pi\) |
0.970056 | + | 0.242882i | \(0.0780927\pi\) | |||||||
\(840\) | −85.3047 | + | 29.7487i | −2.94329 | + | 1.02643i | ||||
\(841\) | 0.311787 | − | 5.75058i | 0.0107513 | − | 0.198296i | ||||
\(842\) | 8.05291 | + | 74.0453i | 0.277522 | + | 2.55177i | ||||
\(843\) | 28.9481 | − | 3.45780i | 0.997024 | − | 0.119093i | ||||
\(844\) | 111.050 | − | 44.2465i | 3.82251 | − | 1.52303i | ||||
\(845\) | −23.8553 | + | 39.6479i | −0.820648 | + | 1.36393i | ||||
\(846\) | −5.47330 | + | 38.4530i | −0.188176 | + | 1.32204i | ||||
\(847\) | −10.8124 | − | 38.9426i | −0.371517 | − | 1.33808i | ||||
\(848\) | −83.9575 | + | 71.3141i | −2.88311 | + | 2.44894i | ||||
\(849\) | 22.4318 | − | 5.18641i | 0.769856 | − | 0.177997i | ||||
\(850\) | −15.3446 | − | 20.1855i | −0.526316 | − | 0.692357i | ||||
\(851\) | 4.93219 | + | 14.6382i | 0.169073 | + | 0.501791i | ||||
\(852\) | 3.57980 | + | 12.3847i | 0.122642 | + | 0.424293i | ||||
\(853\) | 36.0615 | + | 27.4133i | 1.23472 | + | 0.938613i | 0.999445 | − | 0.0333153i | \(-0.0106066\pi\) |
0.235279 | + | 0.971928i | \(0.424400\pi\) | |||||||
\(854\) | 2.74443 | + | 4.56129i | 0.0939126 | + | 0.156084i | ||||
\(855\) | −2.52481 | + | 1.06827i | −0.0863468 | + | 0.0365339i | ||||
\(856\) | 31.7669 | + | 33.5359i | 1.08577 | + | 1.14623i | ||||
\(857\) | 45.0878 | − | 27.1284i | 1.54017 | − | 0.926690i | 0.544016 | − | 0.839075i | \(-0.316903\pi\) |
0.996154 | − | 0.0876148i | \(-0.0279244\pi\) | |||||||
\(858\) | −0.770993 | + | 17.6676i | −0.0263213 | + | 0.603161i | ||||
\(859\) | −5.76229 | + | 17.1019i | −0.196607 | + | 0.583508i | −0.999928 | − | 0.0120385i | \(-0.996168\pi\) |
0.803321 | + | 0.595547i | \(0.203064\pi\) | |||||||
\(860\) | 121.271 | − | 40.8610i | 4.13531 | − | 1.39335i | ||||
\(861\) | 21.5069 | + | 6.99464i | 0.732952 | + | 0.238377i | ||||
\(862\) | 4.49489 | − | 11.2813i | 0.153097 | − | 0.384244i | ||||
\(863\) | 16.6967 | + | 19.6568i | 0.568362 | + | 0.669127i | 0.968986 | − | 0.247115i | \(-0.0794827\pi\) |
−0.400625 | + | 0.916242i | \(0.631207\pi\) | |||||||
\(864\) | −42.4946 | + | 24.2829i | −1.44569 | + | 0.826121i | ||||
\(865\) | 17.1611 | + | 77.9636i | 0.583494 | + | 2.65084i | ||||
\(866\) | 19.9300 | + | 11.9915i | 0.677247 | + | 0.407486i | ||||
\(867\) | 22.7208 | + | 15.0575i | 0.771638 | + | 0.511380i | ||||
\(868\) | −5.07720 | − | 2.69176i | −0.172331 | − | 0.0913643i | ||||
\(869\) | −32.0075 | + | 3.48102i | −1.08578 | + | 0.118086i | ||||
\(870\) | −42.1201 | − | 68.3605i | −1.42801 | − | 2.31764i | ||||
\(871\) | −3.02857 | + | 10.9079i | −0.102619 | + | 0.369601i | ||||
\(872\) | 0.448530 | + | 0.969481i | 0.0151891 | + | 0.0328308i | ||||
\(873\) | 9.81422 | − | 17.1192i | 0.332161 | − | 0.579398i | ||||
\(874\) | 2.16477 | + | 0.235433i | 0.0732244 | + | 0.00796364i | ||||
\(875\) | 22.1137 | + | 14.9935i | 0.747581 | + | 0.506872i | ||||
\(876\) | −1.22152 | − | 6.98816i | −0.0412714 | − | 0.236108i | ||||
\(877\) | −18.4088 | + | 21.6725i | −0.621622 | + | 0.731830i | −0.979390 | − | 0.201981i | \(-0.935262\pi\) |
0.357767 | + | 0.933811i | \(0.383538\pi\) | |||||||
\(878\) | −36.7565 | − | 69.3300i | −1.24047 | − | 2.33978i | ||||
\(879\) | 5.18210 | − | 13.4162i | 0.174788 | − | 0.452516i | ||||
\(880\) | 187.515 | − | 30.7415i | 6.32112 | − | 1.03630i | ||||
\(881\) | −2.18633 | − | 40.3246i | −0.0736595 | − | 1.35857i | −0.768705 | − | 0.639604i | \(-0.779099\pi\) |
0.695045 | − | 0.718966i | \(-0.255384\pi\) | |||||||
\(882\) | −13.3151 | + | 20.5596i | −0.448344 | + | 0.692278i | ||||
\(883\) | 20.4210 | + | 19.3438i | 0.687220 | + | 0.650970i | 0.949407 | − | 0.314047i | \(-0.101685\pi\) |
−0.262187 | + | 0.965017i | \(0.584444\pi\) | |||||||
\(884\) | −3.73908 | −0.125759 | ||||||||
\(885\) | −39.6473 | + | 29.1367i | −1.33273 | + | 0.979420i | ||||
\(886\) | −77.9068 | −2.61733 | ||||||||
\(887\) | 22.5544 | + | 21.3646i | 0.757302 | + | 0.717354i | 0.965406 | − | 0.260753i | \(-0.0839707\pi\) |
−0.208104 | + | 0.978107i | \(0.566729\pi\) | |||||||
\(888\) | 21.5304 | + | 52.4213i | 0.722513 | + | 1.75915i | ||||
\(889\) | 2.02813 | + | 37.4067i | 0.0680214 | + | 1.25458i | ||||
\(890\) | 4.84566 | − | 0.794406i | 0.162427 | − | 0.0266285i | ||||
\(891\) | 6.06783 | − | 50.2043i | 0.203280 | − | 1.68191i | ||||
\(892\) | 13.5131 | + | 25.4883i | 0.452451 | + | 0.853413i | ||||
\(893\) | 0.796520 | − | 0.937736i | 0.0266545 | − | 0.0313801i | ||||
\(894\) | 68.6127 | − | 11.9934i | 2.29475 | − | 0.401120i | ||||
\(895\) | 21.1261 | + | 14.3239i | 0.706168 | + | 0.478794i | ||||
\(896\) | −5.29284 | − | 0.575631i | −0.176821 | − | 0.0192305i | ||||
\(897\) | 3.70481 | − | 1.76173i | 0.123700 | − | 0.0588225i | ||||
\(898\) | −44.2045 | − | 95.5464i | −1.47512 | − | 3.18842i | ||||
\(899\) | 0.792382 | − | 2.85390i | 0.0264274 | − | 0.0951830i | ||||
\(900\) | 113.552 | + | 49.6524i | 3.78506 | + | 1.65508i | ||||
\(901\) | 13.4588 | − | 1.46373i | 0.448377 | − | 0.0487639i | ||||
\(902\) | −85.7877 | − | 45.4818i | −2.85642 | − | 1.51438i | ||||
\(903\) | −13.6627 | + | 20.6162i | −0.454667 | + | 0.686063i | ||||
\(904\) | 61.0080 | + | 36.7073i | 2.02909 | + | 1.22087i | ||||
\(905\) | 8.42058 | + | 38.2551i | 0.279909 | + | 1.27164i | ||||
\(906\) | 20.6242 | − | 24.8066i | 0.685193 | − | 0.824144i | ||||
\(907\) | 18.6968 | + | 22.0116i | 0.620818 | + | 0.730884i | 0.979246 | − | 0.202673i | \(-0.0649630\pi\) |
−0.358428 | + | 0.933557i | \(0.616687\pi\) | |||||||
\(908\) | −27.9974 | + | 70.2683i | −0.929128 | + | 2.33194i | ||||
\(909\) | 11.2189 | + | 37.3314i | 0.372108 | + | 1.23821i | ||||
\(910\) | 12.5117 | − | 4.21567i | 0.414758 | − | 0.139748i | ||||
\(911\) | −2.09089 | + | 6.20554i | −0.0692742 | + | 0.205599i | −0.976698 | − | 0.214618i | \(-0.931149\pi\) |
0.907424 | + | 0.420217i | \(0.138046\pi\) | |||||||
\(912\) | 3.90992 | + | 0.170625i | 0.129471 | + | 0.00564995i | ||||
\(913\) | 21.2798 | − | 12.8037i | 0.704260 | − | 0.423739i | ||||
\(914\) | −41.0313 | − | 43.3162i | −1.35720 | − | 1.43277i | ||||
\(915\) | 1.36604 | − | 6.53370i | 0.0451599 | − | 0.215997i | ||||
\(916\) | −0.118972 | − | 0.197733i | −0.00393094 | − | 0.00653327i | ||||
\(917\) | 3.28198 | + | 2.49489i | 0.108380 | + | 0.0823887i | ||||
\(918\) | 15.1392 | + | 1.16297i | 0.499668 | + | 0.0383839i | ||||
\(919\) | 5.48183 | + | 16.2695i | 0.180829 | + | 0.536681i | 0.999282 | − | 0.0378925i | \(-0.0120644\pi\) |
−0.818453 | + | 0.574574i | \(0.805168\pi\) | |||||||
\(920\) | −54.4529 | − | 71.6316i | −1.79526 | − | 2.36162i | ||||
\(921\) | 5.39074 | + | 23.3155i | 0.177631 | + | 0.768273i | ||||
\(922\) | 54.1136 | − | 45.9645i | 1.78214 | − | 1.51376i | ||||
\(923\) | −0.292288 | − | 1.05273i | −0.00962078 | − | 0.0346509i | ||||
\(924\) | −61.8999 | + | 66.7439i | −2.03636 | + | 2.19571i | ||||
\(925\) | 20.3891 | − | 33.8869i | 0.670388 | − | 1.11419i | ||||
\(926\) | −61.9526 | + | 24.6842i | −2.03589 | + | 0.811173i | ||||
\(927\) | 16.9621 | − | 15.0355i | 0.557109 | − | 0.493830i | ||||
\(928\) | 4.90954 | + | 45.1425i | 0.161164 | + | 1.48187i | ||||
\(929\) | −2.80355 | + | 51.7084i | −0.0919814 | + | 1.69650i | 0.480832 | + | 0.876812i | \(0.340335\pi\) |
−0.572814 | + | 0.819685i | \(0.694148\pi\) | |||||||
\(930\) | 3.36954 | + | 9.66220i | 0.110492 | + | 0.316836i | ||||
\(931\) | 0.704210 | − | 0.325802i | 0.0230796 | − | 0.0106777i | ||||
\(932\) | 13.7120 | − | 83.6395i | 0.449152 | − | 2.73970i | ||||
\(933\) | −21.7094 | − | 39.9243i | −0.710734 | − | 1.30706i | ||||
\(934\) | −33.5032 | + | 49.4135i | −1.09626 | + | 1.61686i | ||||
\(935\) | −21.1946 | − | 9.80565i | −0.693136 | − | 0.320679i | ||||
\(936\) | 13.1456 | − | 7.32890i | 0.429677 | − | 0.239553i | ||||
\(937\) | −17.0106 | + | 9.01844i | −0.555711 | + | 0.294619i | −0.722497 | − | 0.691374i | \(-0.757006\pi\) |
0.166786 | + | 0.985993i | \(0.446661\pi\) | |||||||
\(938\) | −68.4924 | + | 46.4390i | −2.23635 | + | 1.51629i | ||||
\(939\) | 14.3507 | − | 13.8840i | 0.468317 | − | 0.453086i | ||||
\(940\) | −87.5409 | + | 4.74633i | −2.85527 | + | 0.154808i | ||||
\(941\) | −22.0712 | − | 4.85824i | −0.719501 | − | 0.158374i | −0.159897 | − | 0.987134i | \(-0.551116\pi\) |
−0.559605 | + | 0.828760i | \(0.689047\pi\) | |||||||
\(942\) | −5.86833 | + | 38.3245i | −0.191201 | + | 1.24868i | ||||
\(943\) | 22.5245i | 0.733500i | ||||||||
\(944\) | 68.9761 | − | 13.2575i | 2.24498 | − | 0.431494i | ||||
\(945\) | −36.5961 | + | 9.27923i | −1.19047 | + | 0.301853i | ||||
\(946\) | 73.0246 | − | 77.0912i | 2.37424 | − | 2.50645i | ||||
\(947\) | 5.67633 | − | 25.7878i | 0.184456 | − | 0.837991i | −0.789946 | − | 0.613177i | \(-0.789891\pi\) |
0.974402 | − | 0.224815i | \(-0.0721777\pi\) | |||||||
\(948\) | 28.9902 | + | 37.3119i | 0.941557 | + | 1.21183i | ||||
\(949\) | 0.0972658 | + | 0.593295i | 0.00315738 | + | 0.0192592i | ||||
\(950\) | −3.12865 | − | 4.61442i | −0.101507 | − | 0.149712i | ||||
\(951\) | −7.20592 | + | 13.9455i | −0.233668 | + | 0.452213i | ||||
\(952\) | −12.0804 | − | 10.2612i | −0.391528 | − | 0.332566i | ||||
\(953\) | 9.56866 | − | 20.6823i | 0.309959 | − | 0.669966i | −0.688513 | − | 0.725224i | \(-0.741736\pi\) |
0.998472 | + | 0.0552580i | \(0.0175981\pi\) | |||||||
\(954\) | −76.6468 | + | 54.3642i | −2.48153 | + | 1.76010i | ||||
\(955\) | 3.57807 | − | 32.8998i | 0.115784 | − | 1.06461i | ||||
\(956\) | −62.3278 | − | 10.2181i | −2.01583 | − | 0.330478i | ||||
\(957\) | −40.4546 | − | 23.7629i | −1.30771 | − | 0.768144i | ||||
\(958\) | −73.5589 | − | 20.4235i | −2.37658 | − | 0.659855i | ||||
\(959\) | −5.97368 | − | 0.323884i | −0.192900 | − | 0.0104588i | ||||
\(960\) | −26.0405 | − | 30.0095i | −0.840454 | − | 0.968553i | ||||
\(961\) | 14.3439 | − | 27.0554i | 0.462705 | − | 0.872754i | ||||
\(962\) | −3.06543 | − | 7.69366i | −0.0988336 | − | 0.248054i | ||||
\(963\) | 12.0040 | + | 15.1178i | 0.386824 | + | 0.487163i | ||||
\(964\) | 8.29329 | − | 1.82549i | 0.267109 | − | 0.0587951i | ||||
\(965\) | 9.84125 | − | 2.73241i | 0.316801 | − | 0.0879593i | ||||
\(966\) | 28.9775 | + | 7.71711i | 0.932337 | + | 0.248294i | ||||
\(967\) | −43.4941 | − | 17.3296i | −1.39868 | − | 0.557284i | −0.455697 | − | 0.890135i | \(-0.650610\pi\) |
−0.942979 | + | 0.332851i | \(0.891989\pi\) | |||||||
\(968\) | 117.565 | − | 89.3708i | 3.77869 | − | 2.87249i | ||||
\(969\) | −0.385957 | − | 0.287020i | −0.0123987 | − | 0.00922041i | ||||
\(970\) | 59.9402 | + | 20.1962i | 1.92456 | + | 0.648461i | ||||
\(971\) | −17.2927 | + | 22.7482i | −0.554949 | + | 0.730023i | −0.984957 | − | 0.172802i | \(-0.944718\pi\) |
0.430007 | + | 0.902825i | \(0.358511\pi\) | |||||||
\(972\) | −67.3990 | + | 31.0681i | −2.16182 | + | 0.996509i | ||||
\(973\) | 31.3760 | − | 29.7209i | 1.00587 | − | 0.952809i | ||||
\(974\) | 68.3196 | − | 64.7158i | 2.18910 | − | 2.07363i | ||||
\(975\) | −9.57838 | − | 4.30929i | −0.306754 | − | 0.138008i | ||||
\(976\) | −5.76662 | + | 7.58586i | −0.184585 | + | 0.242817i | ||||
\(977\) | 2.76301 | + | 0.930965i | 0.0883964 | + | 0.0297842i | 0.363152 | − | 0.931730i | \(-0.381700\pi\) |
−0.274756 | + | 0.961514i | \(0.588597\pi\) | |||||||
\(978\) | −10.3652 | + | 13.9381i | −0.331441 | + | 0.445690i | ||||
\(979\) | 2.28414 | − | 1.73636i | 0.0730016 | − | 0.0554943i | ||||
\(980\) | −51.3617 | − | 20.4644i | −1.64069 | − | 0.653711i | ||||
\(981\) | 0.151434 | + | 0.419932i | 0.00483492 | + | 0.0134074i | ||||
\(982\) | −8.52263 | + | 2.36630i | −0.271968 | + | 0.0755115i | ||||
\(983\) | 15.6906 | − | 3.45377i | 0.500454 | − | 0.110158i | 0.0424323 | − | 0.999099i | \(-0.486489\pi\) |
0.458021 | + | 0.888941i | \(0.348558\pi\) | |||||||
\(984\) | 5.34451 | + | 82.4641i | 0.170377 | + | 2.62886i | ||||
\(985\) | −27.7160 | − | 69.5619i | −0.883105 | − | 2.21643i | ||||
\(986\) | 6.59858 | − | 12.4462i | 0.210142 | − | 0.396369i | ||||
\(987\) | 12.7974 | − | 11.1048i | 0.407345 | − | 0.353470i | ||||
\(988\) | −0.820922 | − | 0.0445091i | −0.0261170 | − | 0.00141602i | ||||
\(989\) | −23.7349 | − | 6.58997i | −0.754727 | − | 0.209549i | ||||
\(990\) | 161.635 | − | 12.1899i | 5.13711 | − | 0.387422i | ||||
\(991\) | −12.1527 | − | 1.99234i | −0.386045 | − | 0.0632888i | −0.0343653 | − | 0.999409i | \(-0.510941\pi\) |
−0.351679 | + | 0.936121i | \(0.614389\pi\) | |||||||
\(992\) | 0.625679 | − | 5.75302i | 0.0198653 | − | 0.182659i | ||||
\(993\) | 0.180162 | + | 17.0695i | 0.00571725 | + | 0.541684i | ||||
\(994\) | 3.35339 | − | 7.24823i | 0.106363 | − | 0.229900i | ||||
\(995\) | −2.51318 | − | 2.13472i | −0.0796733 | − | 0.0676751i | ||||
\(996\) | −32.3797 | − | 16.7313i | −1.02599 | − | 0.530151i | ||||
\(997\) | −4.14385 | − | 6.11172i | −0.131237 | − | 0.193560i | 0.756393 | − | 0.654118i | \(-0.226960\pi\) |
−0.887630 | + | 0.460558i | \(0.847649\pi\) | |||||||
\(998\) | −1.32255 | − | 8.06719i | −0.0418646 | − | 0.255362i | ||||
\(999\) | 7.05497 | + | 22.6073i | 0.223209 | + | 0.715263i |
(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 | 177.2.f.a.77.1 | yes | 504 | |
3.2 | odd | 2 | inner | 177.2.f.a.77.18 | yes | 504 | |
59.23 | odd | 58 | inner | 177.2.f.a.23.18 | yes | 504 | |
177.23 | even | 58 | inner | 177.2.f.a.23.1 | ✓ | 504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.f.a.23.1 | ✓ | 504 | 177.23 | even | 58 | inner | |
177.2.f.a.23.18 | yes | 504 | 59.23 | odd | 58 | inner | |
177.2.f.a.77.1 | yes | 504 | 1.1 | even | 1 | trivial | |
177.2.f.a.77.18 | yes | 504 | 3.2 | odd | 2 | inner |