Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [136,3,Mod(5,136)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(136, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 8, 5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("136.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 136 = 2^{3} \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 136.q (of order \(16\), degree \(8\), 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: | \(3.70573159530\) |
Analytic rank: | \(0\) |
Dimension: | \(272\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 5.5 | ||
Character | \(\chi\) | \(=\) | 136.5 |
Dual form | 136.3.q.a.109.5 |
$q$-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 \(\left(\mathbb{Z}/136\mathbb{Z}\right)^\times\).
\(n\) | \(69\) | \(103\) | \(105\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{5}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.83427 | − | 0.797164i | −0.917133 | − | 0.398582i | ||||
\(3\) | −2.62580 | + | 1.75450i | −0.875266 | + | 0.584834i | −0.910021 | − | 0.414562i | \(-0.863935\pi\) |
0.0347554 | + | 0.999396i | \(0.488935\pi\) | |||||||
\(4\) | 2.72906 | + | 2.92442i | 0.682265 | + | 0.731105i | ||||
\(5\) | 3.72340 | + | 0.740630i | 0.744679 | + | 0.148126i | 0.552825 | − | 0.833297i | \(-0.313550\pi\) |
0.191855 | + | 0.981423i | \(0.438550\pi\) | |||||||
\(6\) | 6.21503 | − | 1.12503i | 1.03584 | − | 0.187505i | ||||
\(7\) | −0.824370 | − | 4.14439i | −0.117767 | − | 0.592056i | −0.993928 | − | 0.110036i | \(-0.964903\pi\) |
0.876160 | − | 0.482020i | \(-0.160097\pi\) | |||||||
\(8\) | −2.67457 | − | 7.53967i | −0.334322 | − | 0.942459i | ||||
\(9\) | 0.372384 | − | 0.899013i | 0.0413760 | − | 0.0998904i | ||||
\(10\) | −6.23929 | − | 4.32667i | −0.623929 | − | 0.432667i | ||||
\(11\) | −5.80130 | + | 8.68226i | −0.527391 | + | 0.789297i | −0.995539 | − | 0.0943535i | \(-0.969922\pi\) |
0.468147 | + | 0.883650i | \(0.344922\pi\) | |||||||
\(12\) | −12.2969 | − | 2.89080i | −1.02474 | − | 0.240900i | ||||
\(13\) | −4.77706 | + | 4.77706i | −0.367466 | + | 0.367466i | −0.866552 | − | 0.499086i | \(-0.833669\pi\) |
0.499086 | + | 0.866552i | \(0.333669\pi\) | |||||||
\(14\) | −1.79165 | + | 8.25907i | −0.127975 | + | 0.589933i | ||||
\(15\) | −11.0763 | + | 4.58796i | −0.738421 | + | 0.305864i | ||||
\(16\) | −1.10448 | + | 15.9618i | −0.0690301 | + | 0.997615i | ||||
\(17\) | 12.0091 | + | 12.0325i | 0.706419 | + | 0.707794i | ||||
\(18\) | −1.39971 | + | 1.35218i | −0.0777618 | + | 0.0751210i | ||||
\(19\) | −30.8540 | + | 12.7801i | −1.62389 | + | 0.672639i | −0.994528 | − | 0.104471i | \(-0.966685\pi\) |
−0.629365 | + | 0.777109i | \(0.716685\pi\) | |||||||
\(20\) | 7.99545 | + | 12.9100i | 0.399773 | + | 0.645500i | ||||
\(21\) | 9.43597 | + | 9.43597i | 0.449332 | + | 0.449332i | ||||
\(22\) | 17.5623 | − | 11.3010i | 0.798287 | − | 0.513681i | ||||
\(23\) | −4.79130 | + | 7.17069i | −0.208317 | + | 0.311769i | −0.920885 | − | 0.389835i | \(-0.872532\pi\) |
0.712568 | + | 0.701604i | \(0.247532\pi\) | |||||||
\(24\) | 20.2513 | + | 15.1051i | 0.843802 | + | 0.629379i | ||||
\(25\) | −9.78183 | − | 4.05177i | −0.391273 | − | 0.162071i | ||||
\(26\) | 12.5705 | − | 4.95429i | 0.483481 | − | 0.190550i | ||||
\(27\) | −4.94537 | − | 24.8621i | −0.183162 | − | 0.920818i | ||||
\(28\) | 9.87019 | − | 13.7211i | 0.352507 | − | 0.490039i | ||||
\(29\) | −4.58881 | + | 23.0695i | −0.158235 | + | 0.795501i | 0.817395 | + | 0.576078i | \(0.195417\pi\) |
−0.975630 | + | 0.219423i | \(0.929583\pi\) | |||||||
\(30\) | 23.9743 | + | 0.414107i | 0.799142 | + | 0.0138036i | ||||
\(31\) | −20.8291 | + | 13.9175i | −0.671905 | + | 0.448952i | −0.844154 | − | 0.536101i | \(-0.819897\pi\) |
0.172249 | + | 0.985053i | \(0.444897\pi\) | |||||||
\(32\) | 14.7501 | − | 28.3978i | 0.460941 | − | 0.887431i | ||||
\(33\) | − | 32.9763i | − | 0.999281i | ||||||
\(34\) | −12.4360 | − | 31.6440i | −0.365766 | − | 0.930707i | ||||
\(35\) | − | 16.0418i | − | 0.458336i | ||||||
\(36\) | 3.64535 | − | 1.36445i | 0.101260 | − | 0.0379015i | ||||
\(37\) | −7.52786 | + | 5.02995i | −0.203456 | + | 0.135945i | −0.653124 | − | 0.757251i | \(-0.726542\pi\) |
0.449669 | + | 0.893195i | \(0.351542\pi\) | |||||||
\(38\) | 66.7822 | + | 1.15353i | 1.75743 | + | 0.0303560i | ||||
\(39\) | 4.16223 | − | 20.9249i | 0.106724 | − | 0.536537i | ||||
\(40\) | −4.37439 | − | 30.0541i | −0.109360 | − | 0.751352i | ||||
\(41\) | −0.560733 | − | 2.81899i | −0.0136764 | − | 0.0687560i | 0.973344 | − | 0.229348i | \(-0.0736595\pi\) |
−0.987021 | + | 0.160592i | \(0.948660\pi\) | |||||||
\(42\) | −9.78605 | − | 24.8301i | −0.233001 | − | 0.591192i | ||||
\(43\) | −6.97124 | − | 2.88758i | −0.162122 | − | 0.0671530i | 0.300147 | − | 0.953893i | \(-0.402964\pi\) |
−0.462268 | + | 0.886740i | \(0.652964\pi\) | |||||||
\(44\) | −41.2227 | + | 6.72895i | −0.936880 | + | 0.152931i | ||||
\(45\) | 2.05237 | − | 3.07159i | 0.0456082 | − | 0.0682575i | ||||
\(46\) | 14.5047 | − | 9.33349i | 0.315320 | − | 0.202902i | ||||
\(47\) | 50.6376 | + | 50.6376i | 1.07740 | + | 1.07740i | 0.996742 | + | 0.0806535i | \(0.0257007\pi\) |
0.0806535 | + | 0.996742i | \(0.474299\pi\) | |||||||
\(48\) | −25.1049 | − | 43.8503i | −0.523019 | − | 0.913549i | ||||
\(49\) | 28.7737 | − | 11.9185i | 0.587219 | − | 0.243234i | ||||
\(50\) | 14.7126 | + | 15.2297i | 0.294251 | + | 0.304595i | ||||
\(51\) | −52.6445 | − | 10.5249i | −1.03225 | − | 0.206370i | ||||
\(52\) | −27.0070 | − | 0.933262i | −0.519366 | − | 0.0179473i | ||||
\(53\) | 22.9067 | − | 9.48825i | 0.432201 | − | 0.179024i | −0.155967 | − | 0.987762i | \(-0.549849\pi\) |
0.588168 | + | 0.808739i | \(0.299849\pi\) | |||||||
\(54\) | −10.7480 | + | 49.5459i | −0.199038 | + | 0.917517i | ||||
\(55\) | −28.0309 | + | 28.0309i | −0.509653 | + | 0.509653i | ||||
\(56\) | −29.0425 | + | 17.3000i | −0.518616 | + | 0.308928i | ||||
\(57\) | 58.5935 | − | 87.6914i | 1.02796 | − | 1.53845i | ||||
\(58\) | 26.8073 | − | 38.6576i | 0.462195 | − | 0.666510i | ||||
\(59\) | 20.7368 | − | 50.0631i | 0.351472 | − | 0.848528i | −0.644967 | − | 0.764210i | \(-0.723129\pi\) |
0.996439 | − | 0.0843175i | \(-0.0268710\pi\) | |||||||
\(60\) | −43.6451 | − | 19.8710i | −0.727418 | − | 0.331184i | ||||
\(61\) | 2.47345 | + | 12.4349i | 0.0405484 | + | 0.203851i | 0.995749 | − | 0.0921086i | \(-0.0293607\pi\) |
−0.955201 | + | 0.295959i | \(0.904361\pi\) | |||||||
\(62\) | 49.3006 | − | 8.92426i | 0.795170 | − | 0.143940i | ||||
\(63\) | −4.03284 | − | 0.802183i | −0.0640134 | − | 0.0127331i | ||||
\(64\) | −49.6933 | + | 40.3308i | −0.776458 | + | 0.630169i | ||||
\(65\) | −21.3249 | + | 14.2489i | −0.328076 | + | 0.219213i | ||||
\(66\) | −26.2875 | + | 60.4872i | −0.398295 | + | 0.916473i | ||||
\(67\) | 54.2042 | 0.809018 | 0.404509 | − | 0.914534i | \(-0.367442\pi\) | ||||
0.404509 | + | 0.914534i | \(0.367442\pi\) | |||||||
\(68\) | −2.41450 | + | 67.9571i | −0.0355074 | + | 0.999369i | ||||
\(69\) | − | 27.2351i | − | 0.394712i | ||||||
\(70\) | −12.7879 | + | 29.4248i | −0.182685 | + | 0.420355i | ||||
\(71\) | 68.2615 | + | 102.161i | 0.961430 | + | 1.43888i | 0.897544 | + | 0.440924i | \(0.145349\pi\) |
0.0638857 | + | 0.997957i | \(0.479651\pi\) | |||||||
\(72\) | −7.77423 | − | 0.403173i | −0.107975 | − | 0.00559963i | ||||
\(73\) | 14.3495 | − | 72.1399i | 0.196569 | − | 0.988218i | −0.748944 | − | 0.662633i | \(-0.769439\pi\) |
0.945513 | − | 0.325585i | \(-0.105561\pi\) | |||||||
\(74\) | 17.8178 | − | 3.22533i | 0.240781 | − | 0.0435855i | ||||
\(75\) | 32.7939 | − | 6.52312i | 0.437253 | − | 0.0869749i | ||||
\(76\) | −121.577 | − | 55.3523i | −1.59969 | − | 0.728320i | ||||
\(77\) | 40.7651 | + | 16.8855i | 0.529417 | + | 0.219292i | ||||
\(78\) | −24.3153 | + | 35.0639i | −0.311734 | + | 0.449538i | ||||
\(79\) | −78.0068 | − | 52.1225i | −0.987428 | − | 0.659779i | −0.0466891 | − | 0.998909i | \(-0.514867\pi\) |
−0.940739 | + | 0.339131i | \(0.889867\pi\) | |||||||
\(80\) | −15.9342 | + | 58.6142i | −0.199178 | + | 0.732678i | ||||
\(81\) | 62.7988 | + | 62.7988i | 0.775293 | + | 0.775293i | ||||
\(82\) | −1.21867 | + | 5.61778i | −0.0148618 | + | 0.0685095i | ||||
\(83\) | 5.40373 | + | 13.0458i | 0.0651052 | + | 0.157178i | 0.953084 | − | 0.302707i | \(-0.0978905\pi\) |
−0.887978 | + | 0.459885i | \(0.847891\pi\) | |||||||
\(84\) | −1.84344 | + | 53.3460i | −0.0219457 | + | 0.635072i | ||||
\(85\) | 35.8031 | + | 53.6961i | 0.421213 | + | 0.631719i | ||||
\(86\) | 10.4852 | + | 10.8538i | 0.121921 | + | 0.126207i | ||||
\(87\) | −28.4262 | − | 68.6269i | −0.326738 | − | 0.788816i | ||||
\(88\) | 80.9774 | + | 20.5186i | 0.920198 | + | 0.233166i | ||||
\(89\) | −114.977 | + | 114.977i | −1.29187 | + | 1.29187i | −0.358246 | + | 0.933627i | \(0.616625\pi\) |
−0.933627 | + | 0.358246i | \(0.883375\pi\) | |||||||
\(90\) | −6.21315 | + | 3.99803i | −0.0690350 | + | 0.0444225i | ||||
\(91\) | 23.7361 | + | 15.8599i | 0.260836 | + | 0.174285i | ||||
\(92\) | −34.0458 | + | 5.55744i | −0.370064 | + | 0.0604070i | ||||
\(93\) | 30.2745 | − | 73.0892i | 0.325533 | − | 0.785905i | ||||
\(94\) | −52.5163 | − | 133.249i | −0.558684 | − | 1.41755i | ||||
\(95\) | −124.347 | + | 24.7341i | −1.30892 | + | 0.260359i | ||||
\(96\) | 11.0931 | + | 100.446i | 0.115554 | + | 1.04631i | ||||
\(97\) | −39.8758 | − | 7.93180i | −0.411091 | − | 0.0817711i | −0.0147875 | − | 0.999891i | \(-0.504707\pi\) |
−0.396303 | + | 0.918120i | \(0.629707\pi\) | |||||||
\(98\) | −62.2796 | − | 1.07575i | −0.635506 | − | 0.0109771i | ||||
\(99\) | 5.64516 | + | 8.44858i | 0.0570218 | + | 0.0853392i | ||||
\(100\) | −14.8461 | − | 39.6637i | −0.148461 | − | 0.396637i | ||||
\(101\) | 159.253 | 1.57676 | 0.788382 | − | 0.615186i | \(-0.210919\pi\) | ||||
0.788382 | + | 0.615186i | \(0.210919\pi\) | |||||||
\(102\) | 88.1740 | + | 61.2718i | 0.864451 | + | 0.600704i | ||||
\(103\) | −25.0301 | −0.243010 | −0.121505 | − | 0.992591i | \(-0.538772\pi\) | ||||
−0.121505 | + | 0.992591i | \(0.538772\pi\) | |||||||
\(104\) | 48.7941 | + | 23.2409i | 0.469174 | + | 0.223470i | ||||
\(105\) | 28.1453 | + | 42.1224i | 0.268050 | + | 0.401166i | ||||
\(106\) | −49.5806 | − | 0.856404i | −0.467741 | − | 0.00807929i | ||||
\(107\) | −22.6694 | − | 4.50922i | −0.211863 | − | 0.0421422i | 0.0880174 | − | 0.996119i | \(-0.471947\pi\) |
−0.299881 | + | 0.953977i | \(0.596947\pi\) | |||||||
\(108\) | 59.2110 | − | 82.3124i | 0.548250 | − | 0.762152i | ||||
\(109\) | −96.2744 | + | 19.1502i | −0.883251 | + | 0.175690i | −0.615820 | − | 0.787887i | \(-0.711175\pi\) |
−0.267432 | + | 0.963577i | \(0.586175\pi\) | |||||||
\(110\) | 73.7613 | − | 29.0709i | 0.670558 | − | 0.264281i | ||||
\(111\) | 10.9416 | − | 26.4153i | 0.0985726 | − | 0.237975i | ||||
\(112\) | 67.0626 | − | 8.58106i | 0.598773 | − | 0.0766166i | ||||
\(113\) | −113.912 | − | 76.1138i | −1.00807 | − | 0.673573i | −0.0621848 | − | 0.998065i | \(-0.519807\pi\) |
−0.945889 | + | 0.324492i | \(0.894807\pi\) | |||||||
\(114\) | −177.380 | + | 114.141i | −1.55597 | + | 1.00123i | ||||
\(115\) | −23.1507 | + | 23.1507i | −0.201311 | + | 0.201311i | ||||
\(116\) | −79.9881 | + | 49.5384i | −0.689553 | + | 0.427056i | ||||
\(117\) | 2.51574 | + | 6.07354i | 0.0215021 | + | 0.0519106i | ||||
\(118\) | −77.9454 | + | 75.2984i | −0.660554 | + | 0.638122i | ||||
\(119\) | 39.9674 | − | 59.6897i | 0.335860 | − | 0.501594i | ||||
\(120\) | 64.2162 | + | 71.2410i | 0.535135 | + | 0.593675i | ||||
\(121\) | 4.57810 | + | 11.0525i | 0.0378355 | + | 0.0913431i | ||||
\(122\) | 5.37568 | − | 24.7806i | 0.0440630 | − | 0.203120i | ||||
\(123\) | 6.41830 | + | 6.41830i | 0.0521813 | + | 0.0521813i | ||||
\(124\) | −97.5444 | − | 22.9312i | −0.786648 | − | 0.184929i | ||||
\(125\) | −112.334 | − | 75.0594i | −0.898675 | − | 0.600475i | ||||
\(126\) | 6.75783 | + | 4.68625i | 0.0536336 | + | 0.0371925i | ||||
\(127\) | 120.311 | + | 49.8344i | 0.947329 | + | 0.392397i | 0.802226 | − | 0.597020i | \(-0.203649\pi\) |
0.145103 | + | 0.989417i | \(0.453649\pi\) | |||||||
\(128\) | 123.301 | − | 34.3637i | 0.963289 | − | 0.268466i | ||||
\(129\) | 23.3713 | − | 4.64884i | 0.181173 | − | 0.0360376i | ||||
\(130\) | 50.4743 | − | 9.13672i | 0.388263 | − | 0.0702825i | ||||
\(131\) | 8.39324 | − | 42.1957i | 0.0640705 | − | 0.322104i | −0.935437 | − | 0.353494i | \(-0.884993\pi\) |
0.999507 | + | 0.0313900i | \(0.00999339\pi\) | |||||||
\(132\) | 96.4365 | − | 89.9941i | 0.730579 | − | 0.681774i | ||||
\(133\) | 78.4010 | + | 117.335i | 0.589481 | + | 0.882221i | ||||
\(134\) | −99.4249 | − | 43.2096i | −0.741977 | − | 0.322460i | ||||
\(135\) | − | 96.2341i | − | 0.712845i | ||||||
\(136\) | 58.6018 | − | 122.727i | 0.430896 | − | 0.902402i | ||||
\(137\) | 87.2616 | 0.636946 | 0.318473 | − | 0.947932i | \(-0.396830\pi\) | ||||
0.318473 | + | 0.947932i | \(0.396830\pi\) | |||||||
\(138\) | −21.7109 | + | 49.9564i | −0.157325 | + | 0.362003i | ||||
\(139\) | 111.605 | − | 74.5724i | 0.802917 | − | 0.536492i | −0.0850623 | − | 0.996376i | \(-0.527109\pi\) |
0.887979 | + | 0.459884i | \(0.152109\pi\) | |||||||
\(140\) | 46.9129 | − | 43.7789i | 0.335092 | − | 0.312706i | ||||
\(141\) | −221.808 | − | 44.1203i | −1.57310 | − | 0.312910i | ||||
\(142\) | −43.7710 | − | 241.805i | −0.308246 | − | 1.70285i | ||||
\(143\) | −13.7625 | − | 69.1889i | −0.0962414 | − | 0.483838i | ||||
\(144\) | 13.9386 | + | 6.93687i | 0.0967959 | + | 0.0481727i | ||||
\(145\) | −34.1719 | + | 82.4984i | −0.235669 | + | 0.568954i | ||||
\(146\) | −83.8282 | + | 120.885i | −0.574166 | + | 0.827978i | ||||
\(147\) | −54.6430 | + | 81.7790i | −0.371721 | + | 0.556320i | ||||
\(148\) | −35.2537 | − | 8.28759i | −0.238200 | − | 0.0559972i | ||||
\(149\) | 202.284 | − | 202.284i | 1.35761 | − | 1.35761i | 0.480758 | − | 0.876853i | \(-0.340361\pi\) |
0.876853 | − | 0.480758i | \(-0.159639\pi\) | |||||||
\(150\) | −65.3528 | − | 14.1770i | −0.435685 | − | 0.0945135i | ||||
\(151\) | 223.516 | − | 92.5834i | 1.48024 | − | 0.613135i | 0.511071 | − | 0.859538i | \(-0.329249\pi\) |
0.969167 | + | 0.246403i | \(0.0792488\pi\) | |||||||
\(152\) | 178.879 | + | 198.447i | 1.17684 | + | 1.30558i | ||||
\(153\) | 15.2894 | − | 6.31566i | 0.0999306 | − | 0.0412788i | ||||
\(154\) | −61.3135 | − | 63.4689i | −0.398140 | − | 0.412136i | ||||
\(155\) | −87.8626 | + | 36.3939i | −0.566855 | + | 0.234799i | ||||
\(156\) | 72.5523 | − | 44.9333i | 0.465079 | − | 0.288034i | ||||
\(157\) | −61.8626 | − | 61.8626i | −0.394029 | − | 0.394029i | 0.482092 | − | 0.876121i | \(-0.339877\pi\) |
−0.876121 | + | 0.482092i | \(0.839877\pi\) | |||||||
\(158\) | 101.535 | + | 157.791i | 0.642627 | + | 0.998676i | ||||
\(159\) | −43.5011 | + | 65.1040i | −0.273592 | + | 0.409459i | ||||
\(160\) | 75.9528 | − | 94.8119i | 0.474705 | − | 0.592574i | ||||
\(161\) | 33.6679 | + | 13.9457i | 0.209118 | + | 0.0866193i | ||||
\(162\) | −65.1287 | − | 165.251i | −0.402029 | − | 1.02007i | ||||
\(163\) | 30.5250 | + | 153.460i | 0.187270 | + | 0.941470i | 0.954070 | + | 0.299584i | \(0.0968478\pi\) |
−0.766800 | + | 0.641886i | \(0.778152\pi\) | |||||||
\(164\) | 6.71366 | − | 9.33302i | 0.0409369 | − | 0.0569087i | ||||
\(165\) | 24.4232 | − | 122.784i | 0.148019 | − | 0.744144i | ||||
\(166\) | 0.487738 | − | 28.2371i | 0.00293818 | − | 0.170103i | ||||
\(167\) | 205.446 | − | 137.275i | 1.23022 | − | 0.822005i | 0.241297 | − | 0.970451i | \(-0.422427\pi\) |
0.988920 | + | 0.148447i | \(0.0474273\pi\) | |||||||
\(168\) | 45.9069 | − | 96.3813i | 0.273255 | − | 0.573698i | ||||
\(169\) | 123.359i | 0.729937i | ||||||||
\(170\) | −22.8678 | − | 127.034i | −0.134516 | − | 0.747258i | ||||
\(171\) | 32.4973i | 0.190042i | ||||||||
\(172\) | −10.5804 | − | 28.2672i | −0.0615140 | − | 0.164344i | ||||
\(173\) | −211.088 | + | 141.045i | −1.22016 | + | 0.815287i | −0.987554 | − | 0.157283i | \(-0.949726\pi\) |
−0.232609 | + | 0.972570i | \(0.574726\pi\) | |||||||
\(174\) | −2.56573 | + | 148.540i | −0.0147456 | + | 0.853680i | ||||
\(175\) | −8.72825 | + | 43.8799i | −0.0498757 | + | 0.250742i | ||||
\(176\) | −132.177 | − | 102.189i | −0.751008 | − | 0.580618i | ||||
\(177\) | 33.3851 | + | 167.838i | 0.188617 | + | 0.948240i | ||||
\(178\) | 302.553 | − | 119.242i | 1.69974 | − | 0.669901i | ||||
\(179\) | 36.2671 | + | 15.0223i | 0.202610 | + | 0.0839237i | 0.481681 | − | 0.876347i | \(-0.340026\pi\) |
−0.279071 | + | 0.960270i | \(0.590026\pi\) | |||||||
\(180\) | 14.5836 | − | 2.38055i | 0.0810202 | − | 0.0132253i | ||||
\(181\) | −141.280 | + | 211.440i | −0.780552 | + | 1.16818i | 0.201485 | + | 0.979492i | \(0.435423\pi\) |
−0.982037 | + | 0.188687i | \(0.939577\pi\) | |||||||
\(182\) | −30.8953 | − | 48.0129i | −0.169754 | − | 0.263807i | ||||
\(183\) | −28.3118 | − | 28.3118i | −0.154709 | − | 0.154709i | ||||
\(184\) | 66.8793 | + | 16.9463i | 0.363475 | + | 0.0920995i | ||||
\(185\) | −31.7545 | + | 13.1532i | −0.171646 | + | 0.0710982i | ||||
\(186\) | −113.796 | + | 109.931i | −0.611804 | + | 0.591028i | ||||
\(187\) | −174.138 | + | 34.4622i | −0.931219 | + | 0.184290i | ||||
\(188\) | −9.89272 | + | 286.279i | −0.0526209 | + | 1.52276i | ||||
\(189\) | −98.9613 | + | 40.9911i | −0.523605 | + | 0.216884i | ||||
\(190\) | 247.802 | + | 53.7560i | 1.30422 | + | 0.282926i | ||||
\(191\) | −201.130 | + | 201.130i | −1.05304 | + | 1.05304i | −0.0545249 | + | 0.998512i | \(0.517364\pi\) |
−0.998512 | + | 0.0545249i | \(0.982636\pi\) | |||||||
\(192\) | 59.7241 | − | 193.088i | 0.311063 | − | 1.00566i | ||||
\(193\) | −32.7498 | + | 49.0135i | −0.169688 | + | 0.253956i | −0.906561 | − | 0.422076i | \(-0.861302\pi\) |
0.736873 | + | 0.676031i | \(0.236302\pi\) | |||||||
\(194\) | 66.8199 | + | 46.3366i | 0.344433 | + | 0.238848i | ||||
\(195\) | 30.9953 | − | 74.8292i | 0.158950 | − | 0.383740i | ||||
\(196\) | 113.380 | + | 51.6203i | 0.578468 | + | 0.263369i | ||||
\(197\) | −24.9355 | − | 125.359i | −0.126576 | − | 0.636342i | −0.991031 | − | 0.133632i | \(-0.957336\pi\) |
0.864455 | − | 0.502711i | \(-0.167664\pi\) | |||||||
\(198\) | −3.61982 | − | 19.9971i | −0.0182819 | − | 0.100995i | ||||
\(199\) | 97.1901 | + | 19.3323i | 0.488393 | + | 0.0971473i | 0.433143 | − | 0.901325i | \(-0.357405\pi\) |
0.0552497 | + | 0.998473i | \(0.482405\pi\) | |||||||
\(200\) | −4.38678 | + | 84.5886i | −0.0219339 | + | 0.422943i | ||||
\(201\) | −142.329 | + | 95.1013i | −0.708106 | + | 0.473141i | ||||
\(202\) | −292.113 | − | 126.951i | −1.44610 | − | 0.628470i | ||||
\(203\) | 99.3920 | 0.489616 | ||||||||
\(204\) | −112.891 | − | 182.678i | −0.553387 | − | 0.895480i | ||||
\(205\) | − | 10.9115i | − | 0.0532270i | ||||||
\(206\) | 45.9118 | + | 19.9531i | 0.222873 | + | 0.0968596i | ||||
\(207\) | 4.66234 | + | 6.97769i | 0.0225234 | + | 0.0337086i | ||||
\(208\) | −70.9745 | − | 81.5268i | −0.341223 | − | 0.391956i | ||||
\(209\) | 68.0328 | − | 342.024i | 0.325516 | − | 1.63648i | ||||
\(210\) | −18.0475 | − | 99.7001i | −0.0859403 | − | 0.474762i | ||||
\(211\) | 182.108 | − | 36.2236i | 0.863072 | − | 0.171676i | 0.256345 | − | 0.966585i | \(-0.417482\pi\) |
0.606728 | + | 0.794910i | \(0.292482\pi\) | |||||||
\(212\) | 90.2613 | + | 41.0948i | 0.425761 | + | 0.193843i | ||||
\(213\) | −358.482 | − | 148.488i | −1.68301 | − | 0.697127i | ||||
\(214\) | 37.9871 | + | 26.3423i | 0.177510 | + | 0.123095i | ||||
\(215\) | −23.8181 | − | 15.9147i | −0.110782 | − | 0.0740219i | ||||
\(216\) | −174.225 | + | 103.782i | −0.806598 | + | 0.480472i | ||||
\(217\) | 74.8505 | + | 74.8505i | 0.344933 | + | 0.344933i | ||||
\(218\) | 191.859 | + | 41.6200i | 0.880085 | + | 0.190918i | ||||
\(219\) | 88.8907 | + | 214.601i | 0.405893 | + | 0.979913i | ||||
\(220\) | −158.472 | − | 5.47621i | −0.720328 | − | 0.0248918i | ||||
\(221\) | −114.848 | − | 0.111669i | −0.519675 | − | 0.000505290i | ||||
\(222\) | −41.1270 | + | 39.7304i | −0.185257 | + | 0.178966i | ||||
\(223\) | −85.3007 | − | 205.934i | −0.382514 | − | 0.923471i | −0.991478 | − | 0.130273i | \(-0.958415\pi\) |
0.608964 | − | 0.793198i | \(-0.291585\pi\) | |||||||
\(224\) | −129.851 | − | 37.7199i | −0.579692 | − | 0.168393i | ||||
\(225\) | −7.28519 | + | 7.28519i | −0.0323786 | + | 0.0323786i | ||||
\(226\) | 148.270 | + | 230.420i | 0.656063 | + | 1.01956i | ||||
\(227\) | −84.1410 | − | 56.2212i | −0.370665 | − | 0.247671i | 0.356261 | − | 0.934387i | \(-0.384052\pi\) |
−0.726926 | + | 0.686716i | \(0.759052\pi\) | |||||||
\(228\) | 416.352 | − | 67.9628i | 1.82610 | − | 0.298082i | ||||
\(229\) | −124.716 | + | 301.091i | −0.544612 | + | 1.31481i | 0.376827 | + | 0.926284i | \(0.377015\pi\) |
−0.921438 | + | 0.388525i | \(0.872985\pi\) | |||||||
\(230\) | 60.9195 | − | 24.0097i | 0.264868 | − | 0.104390i | ||||
\(231\) | −136.666 | + | 27.1847i | −0.591630 | + | 0.117682i | ||||
\(232\) | 186.210 | − | 27.1030i | 0.802628 | − | 0.116823i | ||||
\(233\) | −388.732 | − | 77.3236i | −1.66838 | − | 0.331861i | −0.731586 | − | 0.681749i | \(-0.761220\pi\) |
−0.936792 | + | 0.349888i | \(0.886220\pi\) | |||||||
\(234\) | 0.227070 | − | 13.1459i | 0.000970383 | − | 0.0561792i | ||||
\(235\) | 151.040 | + | 226.048i | 0.642724 | + | 0.961905i | ||||
\(236\) | 202.998 | − | 75.9820i | 0.860160 | − | 0.321958i | ||||
\(237\) | 296.279 | 1.25012 | ||||||||
\(238\) | −120.893 | + | 77.6262i | −0.507955 | + | 0.326160i | ||||
\(239\) | 40.8028 | 0.170723 | 0.0853615 | − | 0.996350i | \(-0.472795\pi\) | ||||
0.0853615 | + | 0.996350i | \(0.472795\pi\) | |||||||
\(240\) | −60.9987 | − | 181.866i | −0.254161 | − | 0.757774i | ||||
\(241\) | −151.688 | − | 227.018i | −0.629412 | − | 0.941982i | −0.999914 | − | 0.0131499i | \(-0.995814\pi\) |
0.370501 | − | 0.928832i | \(-0.379186\pi\) | |||||||
\(242\) | 0.413217 | − | 23.9227i | 0.00170751 | − | 0.0988543i | ||||
\(243\) | −51.3187 | − | 10.2079i | −0.211188 | − | 0.0420079i | ||||
\(244\) | −29.6147 | + | 41.1690i | −0.121372 | + | 0.168725i | ||||
\(245\) | 115.963 | − | 23.0665i | 0.473319 | − | 0.0941490i | ||||
\(246\) | −6.65643 | − | 16.8893i | −0.0270586 | − | 0.0686557i | ||||
\(247\) | 86.3398 | − | 208.443i | 0.349554 | − | 0.843898i | ||||
\(248\) | 160.642 | + | 119.821i | 0.647752 | + | 0.483148i | ||||
\(249\) | −37.0779 | − | 24.7747i | −0.148907 | − | 0.0994967i | ||||
\(250\) | 146.216 | + | 227.228i | 0.584865 | + | 0.908912i | ||||
\(251\) | −94.1278 | + | 94.1278i | −0.375011 | + | 0.375011i | −0.869299 | − | 0.494287i | \(-0.835429\pi\) |
0.494287 | + | 0.869299i | \(0.335429\pi\) | |||||||
\(252\) | −8.65995 | − | 13.9829i | −0.0343649 | − | 0.0554879i | ||||
\(253\) | −34.4620 | − | 83.1987i | −0.136214 | − | 0.328848i | ||||
\(254\) | −180.956 | − | 187.317i | −0.712424 | − | 0.737468i | ||||
\(255\) | −188.222 | − | 78.1784i | −0.738124 | − | 0.306582i | ||||
\(256\) | −253.560 | − | 35.2591i | −0.990470 | − | 0.137731i | ||||
\(257\) | 53.9702 | + | 130.296i | 0.210001 | + | 0.506987i | 0.993423 | − | 0.114503i | \(-0.0365276\pi\) |
−0.783422 | + | 0.621490i | \(0.786528\pi\) | |||||||
\(258\) | −46.5751 | − | 10.1036i | −0.180524 | − | 0.0391611i | ||||
\(259\) | 27.0518 | + | 27.0518i | 0.104447 | + | 0.104447i | ||||
\(260\) | −99.8666 | − | 23.4771i | −0.384102 | − | 0.0902965i | ||||
\(261\) | 19.0310 | + | 12.7161i | 0.0729157 | + | 0.0487207i | ||||
\(262\) | −49.0323 | + | 70.7072i | −0.187146 | + | 0.269875i | ||||
\(263\) | 389.000 | + | 161.129i | 1.47909 | + | 0.612659i | 0.968911 | − | 0.247410i | \(-0.0795795\pi\) |
0.510178 | + | 0.860069i | \(0.329580\pi\) | |||||||
\(264\) | −248.630 | + | 88.1974i | −0.941781 | + | 0.334081i | ||||
\(265\) | 92.3179 | − | 18.3632i | 0.348369 | − | 0.0692950i | ||||
\(266\) | −50.2726 | − | 277.723i | −0.188995 | − | 1.04407i | ||||
\(267\) | 100.179 | − | 503.632i | 0.375201 | − | 1.88626i | ||||
\(268\) | 147.926 | + | 158.516i | 0.551964 | + | 0.591477i | ||||
\(269\) | 273.969 | + | 410.024i | 1.01847 | + | 1.52425i | 0.841660 | + | 0.540008i | \(0.181579\pi\) |
0.176813 | + | 0.984244i | \(0.443421\pi\) | |||||||
\(270\) | −76.7144 | + | 176.519i | −0.284127 | + | 0.653773i | ||||
\(271\) | 365.500i | 1.34871i | 0.738408 | + | 0.674354i | \(0.235578\pi\) | ||||
−0.738408 | + | 0.674354i | \(0.764422\pi\) | |||||||
\(272\) | −205.325 | + | 178.398i | −0.754870 | + | 0.655875i | ||||
\(273\) | −90.1524 | −0.330228 | ||||||||
\(274\) | −160.061 | − | 69.5618i | −0.584164 | − | 0.253875i | ||||
\(275\) | 91.9259 | − | 61.4229i | 0.334276 | − | 0.223356i | ||||
\(276\) | 79.6469 | − | 74.3262i | 0.288576 | − | 0.269298i | ||||
\(277\) | 5.30517 | + | 1.05526i | 0.0191522 | + | 0.00380962i | 0.204657 | − | 0.978834i | \(-0.434392\pi\) |
−0.185505 | + | 0.982643i | \(0.559392\pi\) | |||||||
\(278\) | −264.160 | + | 47.8176i | −0.950217 | + | 0.172006i | ||||
\(279\) | 4.75565 | + | 23.9083i | 0.0170453 | + | 0.0856927i | ||||
\(280\) | −120.950 | + | 42.9049i | −0.431963 | + | 0.153232i | ||||
\(281\) | 86.0831 | − | 207.823i | 0.306345 | − | 0.739583i | −0.693472 | − | 0.720483i | \(-0.743920\pi\) |
0.999818 | − | 0.0190999i | \(-0.00608006\pi\) | |||||||
\(282\) | 371.683 | + | 257.746i | 1.31803 | + | 0.913992i | ||||
\(283\) | −287.868 | + | 430.825i | −1.01720 | + | 1.52235i | −0.174007 | + | 0.984744i | \(0.555671\pi\) |
−0.843196 | + | 0.537607i | \(0.819329\pi\) | |||||||
\(284\) | −112.471 | + | 478.428i | −0.396024 | + | 1.68460i | ||||
\(285\) | 283.114 | − | 283.114i | 0.993382 | − | 0.993382i | ||||
\(286\) | −29.9108 | + | 137.882i | −0.104583 | + | 0.482104i | ||||
\(287\) | −11.2208 | + | 4.64779i | −0.0390967 | + | 0.0161944i | ||||
\(288\) | −20.0373 | − | 23.8354i | −0.0695739 | − | 0.0827619i | ||||
\(289\) | −0.562000 | + | 288.999i | −0.00194464 | + | 0.999998i | ||||
\(290\) | 128.445 | − | 124.083i | 0.442914 | − | 0.427873i | ||||
\(291\) | 118.622 | − | 49.1349i | 0.407636 | − | 0.168849i | ||||
\(292\) | 250.128 | − | 154.910i | 0.856603 | − | 0.530514i | ||||
\(293\) | −45.0208 | − | 45.0208i | −0.153655 | − | 0.153655i | 0.626093 | − | 0.779748i | \(-0.284653\pi\) |
−0.779748 | + | 0.626093i | \(0.784653\pi\) | |||||||
\(294\) | 165.421 | − | 106.445i | 0.562656 | − | 0.362058i | ||||
\(295\) | 114.290 | − | 171.047i | 0.387423 | − | 0.579819i | ||||
\(296\) | 58.0580 | + | 43.3046i | 0.196142 | + | 0.146299i | ||||
\(297\) | 244.549 | + | 101.295i | 0.823396 | + | 0.341062i | ||||
\(298\) | −532.296 | + | 209.789i | −1.78623 | + | 0.703990i | ||||
\(299\) | −11.3665 | − | 57.1431i | −0.0380150 | − | 0.191114i | ||||
\(300\) | 108.573 | + | 78.1013i | 0.361910 | + | 0.260338i | ||||
\(301\) | −6.22038 | + | 31.2720i | −0.0206657 | + | 0.103894i | ||||
\(302\) | −483.792 | − | 8.35653i | −1.60196 | − | 0.0276706i | ||||
\(303\) | −418.167 | + | 279.410i | −1.38009 | + | 0.922145i | ||||
\(304\) | −169.917 | − | 506.601i | −0.558937 | − | 1.66645i | ||||
\(305\) | 48.1320i | 0.157810i | ||||||||
\(306\) | −33.0794 | − | 0.603553i | −0.108103 | − | 0.00197240i | ||||
\(307\) | − | 416.188i | − | 1.35566i | −0.735218 | − | 0.677831i | \(-0.762920\pi\) | ||
0.735218 | − | 0.677831i | \(-0.237080\pi\) | |||||||
\(308\) | 61.8702 | + | 165.296i | 0.200877 | + | 0.536675i | ||||
\(309\) | 65.7239 | − | 43.9153i | 0.212699 | − | 0.142121i | ||||
\(310\) | 190.175 | + | 3.28489i | 0.613468 | + | 0.0105964i | ||||
\(311\) | −45.0469 | + | 226.466i | −0.144845 | + | 0.728186i | 0.838278 | + | 0.545243i | \(0.183562\pi\) |
−0.983123 | + | 0.182943i | \(0.941438\pi\) | |||||||
\(312\) | −168.899 | + | 24.5834i | −0.541344 | + | 0.0787931i | ||||
\(313\) | 98.2061 | + | 493.715i | 0.313757 | + | 1.57736i | 0.739905 | + | 0.672711i | \(0.234870\pi\) |
−0.426148 | + | 0.904654i | \(0.640130\pi\) | |||||||
\(314\) | 64.1577 | + | 162.787i | 0.204324 | + | 0.518430i | ||||
\(315\) | −14.4218 | − | 5.97369i | −0.0457834 | − | 0.0189641i | ||||
\(316\) | −60.4570 | − | 370.370i | −0.191320 | − | 1.17206i | ||||
\(317\) | 238.860 | − | 357.479i | 0.753502 | − | 1.12769i | −0.234329 | − | 0.972157i | \(-0.575289\pi\) |
0.987830 | − | 0.155537i | \(-0.0497109\pi\) | |||||||
\(318\) | 131.691 | − | 84.7405i | 0.414123 | − | 0.266479i | ||||
\(319\) | −173.675 | − | 173.675i | −0.544434 | − | 0.544434i | ||||
\(320\) | −214.898 | + | 113.363i | −0.671557 | + | 0.354260i | ||||
\(321\) | 67.4366 | − | 27.9332i | 0.210083 | − | 0.0870192i | ||||
\(322\) | −50.6389 | − | 52.4190i | −0.157264 | − | 0.162792i | ||||
\(323\) | −524.306 | − | 217.772i | −1.62324 | − | 0.674217i | ||||
\(324\) | −12.2686 | + | 355.032i | −0.0378659 | + | 1.09578i | ||||
\(325\) | 66.0840 | − | 27.3729i | 0.203335 | − | 0.0842242i | ||||
\(326\) | 66.3415 | − | 305.819i | 0.203502 | − | 0.938095i | ||||
\(327\) | 219.198 | − | 219.198i | 0.670330 | − | 0.670330i | ||||
\(328\) | −19.7546 | + | 11.7673i | −0.0602274 | + | 0.0358761i | ||||
\(329\) | 168.118 | − | 251.606i | 0.510996 | − | 0.764760i | ||||
\(330\) | −142.677 | + | 205.749i | −0.432356 | + | 0.623481i | ||||
\(331\) | 194.722 | − | 470.101i | 0.588284 | − | 1.42024i | −0.296858 | − | 0.954922i | \(-0.595939\pi\) |
0.885142 | − | 0.465322i | \(-0.154061\pi\) | |||||||
\(332\) | −23.4042 | + | 51.4054i | −0.0704946 | + | 0.154836i | ||||
\(333\) | 1.71875 | + | 8.64072i | 0.00516140 | + | 0.0259481i | ||||
\(334\) | −486.273 | + | 88.0240i | −1.45591 | + | 0.263545i | ||||
\(335\) | 201.824 | + | 40.1452i | 0.602459 | + | 0.119837i | ||||
\(336\) | −161.037 | + | 140.193i | −0.479277 | + | 0.417243i | ||||
\(337\) | 272.567 | − | 182.123i | 0.808803 | − | 0.540425i | −0.0810295 | − | 0.996712i | \(-0.525821\pi\) |
0.889833 | + | 0.456287i | \(0.150821\pi\) | |||||||
\(338\) | 98.3377 | − | 226.274i | 0.290940 | − | 0.669449i | ||||
\(339\) | 432.652 | 1.27626 | ||||||||
\(340\) | −59.3212 | + | 251.243i | −0.174474 | + | 0.738950i | ||||
\(341\) | − | 261.583i | − | 0.767106i | ||||||
\(342\) | 25.9056 | − | 59.6086i | 0.0757475 | − | 0.174294i | ||||
\(343\) | −188.148 | − | 281.583i | −0.548536 | − | 0.820942i | ||||
\(344\) | −3.12633 | + | 60.2839i | −0.00908818 | + | 0.175244i | ||||
\(345\) | 20.1711 | − | 101.407i | 0.0584671 | − | 0.293934i | ||||
\(346\) | 499.627 | − | 90.4413i | 1.44401 | − | 0.261391i | ||||
\(347\) | −278.017 | + | 55.3011i | −0.801203 | + | 0.159369i | −0.578676 | − | 0.815557i | \(-0.696430\pi\) |
−0.222527 | + | 0.974927i | \(0.571430\pi\) | |||||||
\(348\) | 123.117 | − | 270.417i | 0.353785 | − | 0.777061i | ||||
\(349\) | 593.772 | + | 245.949i | 1.70135 | + | 0.704724i | 0.999968 | − | 0.00805748i | \(-0.00256480\pi\) |
0.701386 | + | 0.712781i | \(0.252565\pi\) | |||||||
\(350\) | 50.9894 | − | 73.5295i | 0.145684 | − | 0.210084i | ||||
\(351\) | 142.392 | + | 95.1433i | 0.405675 | + | 0.271063i | ||||
\(352\) | 160.987 | + | 292.809i | 0.457350 | + | 0.831843i | ||||
\(353\) | −172.786 | − | 172.786i | −0.489480 | − | 0.489480i | 0.418662 | − | 0.908142i | \(-0.362499\pi\) |
−0.908142 | + | 0.418662i | \(0.862499\pi\) | |||||||
\(354\) | 72.5576 | − | 334.474i | 0.204965 | − | 0.944841i | ||||
\(355\) | 178.502 | + | 430.941i | 0.502821 | + | 1.21392i | ||||
\(356\) | −650.018 | − | 22.4622i | −1.82589 | − | 0.0630961i | ||||
\(357\) | −0.220576 | + | 226.856i | −0.000617861 | + | 0.635451i | ||||
\(358\) | −54.5483 | − | 56.4658i | −0.152370 | − | 0.157726i | ||||
\(359\) | −6.84036 | − | 16.5141i | −0.0190539 | − | 0.0460002i | 0.914066 | − | 0.405565i | \(-0.132925\pi\) |
−0.933120 | + | 0.359565i | \(0.882925\pi\) | |||||||
\(360\) | −28.6480 | − | 7.25900i | −0.0795777 | − | 0.0201639i | ||||
\(361\) | 533.370 | − | 533.370i | 1.47748 | − | 1.47748i | ||||
\(362\) | 427.698 | − | 275.214i | 1.18149 | − | 0.760261i | ||||
\(363\) | −31.4128 | − | 20.9894i | −0.0865366 | − | 0.0578219i | ||||
\(364\) | 18.3960 | + | 112.697i | 0.0505384 | + | 0.309607i | ||||
\(365\) | 106.858 | − | 257.978i | 0.292761 | − | 0.706789i | ||||
\(366\) | 29.3622 | + | 74.5006i | 0.0802247 | + | 0.203554i | ||||
\(367\) | −497.173 | + | 98.8938i | −1.35469 | + | 0.269465i | −0.818440 | − | 0.574592i | \(-0.805161\pi\) |
−0.536254 | + | 0.844057i | \(0.680161\pi\) | |||||||
\(368\) | −109.165 | − | 84.3978i | −0.296645 | − | 0.229342i | ||||
\(369\) | −2.74312 | − | 0.545641i | −0.00743394 | − | 0.00147870i | ||||
\(370\) | 68.7315 | + | 1.18720i | 0.185761 | + | 0.00320864i | ||||
\(371\) | −58.2066 | − | 87.1123i | −0.156891 | − | 0.234804i | ||||
\(372\) | 296.365 | − | 110.929i | 0.796679 | − | 0.298197i | ||||
\(373\) | 192.627 | 0.516427 | 0.258213 | − | 0.966088i | \(-0.416866\pi\) | ||||
0.258213 | + | 0.966088i | \(0.416866\pi\) | |||||||
\(374\) | 346.887 | + | 75.6037i | 0.927506 | + | 0.202149i | ||||
\(375\) | 426.659 | 1.13776 | ||||||||
\(376\) | 246.357 | − | 517.225i | 0.655205 | − | 1.37560i | ||||
\(377\) | −88.2834 | − | 132.126i | −0.234174 | − | 0.350466i | ||||
\(378\) | 214.198 | + | 3.69984i | 0.566661 | + | 0.00978793i | ||||
\(379\) | −235.367 | − | 46.8174i | −0.621021 | − | 0.123529i | −0.125455 | − | 0.992099i | \(-0.540039\pi\) |
−0.495566 | + | 0.868570i | \(0.665039\pi\) | |||||||
\(380\) | −411.683 | − | 296.142i | −1.08338 | − | 0.779321i | ||||
\(381\) | −403.346 | + | 80.2306i | −1.05865 | + | 0.210579i | ||||
\(382\) | 529.260 | − | 208.592i | 1.38550 | − | 0.546053i | ||||
\(383\) | −51.4931 | + | 124.315i | −0.134447 | + | 0.324583i | −0.976737 | − | 0.214441i | \(-0.931207\pi\) |
0.842290 | + | 0.539024i | \(0.181207\pi\) | |||||||
\(384\) | −263.472 | + | 306.564i | −0.686126 | + | 0.798343i | ||||
\(385\) | 139.279 | + | 93.0631i | 0.361763 | + | 0.241722i | ||||
\(386\) | 99.1435 | − | 63.7968i | 0.256849 | − | 0.165277i | ||||
\(387\) | −5.19195 | + | 5.19195i | −0.0134159 | + | 0.0134159i | ||||
\(388\) | −85.6276 | − | 138.260i | −0.220690 | − | 0.356340i | ||||
\(389\) | −76.3704 | − | 184.374i | −0.196325 | − | 0.473970i | 0.794805 | − | 0.606864i | \(-0.207573\pi\) |
−0.991130 | + | 0.132894i | \(0.957573\pi\) | |||||||
\(390\) | −116.505 | + | 112.548i | −0.298730 | + | 0.288585i | ||||
\(391\) | −143.821 | + | 28.4623i | −0.367828 | + | 0.0727937i | ||||
\(392\) | −166.819 | − | 185.068i | −0.425558 | − | 0.472111i | ||||
\(393\) | 51.9934 | + | 125.523i | 0.132299 | + | 0.319397i | ||||
\(394\) | −54.1936 | + | 249.820i | −0.137547 | + | 0.634061i | ||||
\(395\) | −251.847 | − | 251.847i | −0.637587 | − | 0.637587i | ||||
\(396\) | −9.30124 | + | 39.5655i | −0.0234880 | + | 0.0999129i | ||||
\(397\) | 391.504 | + | 261.595i | 0.986157 | + | 0.658929i | 0.940417 | − | 0.340024i | \(-0.110435\pi\) |
0.0457402 | + | 0.998953i | \(0.485435\pi\) | |||||||
\(398\) | −162.861 | − | 112.937i | −0.409200 | − | 0.283762i | ||||
\(399\) | −411.730 | − | 170.544i | −1.03190 | − | 0.427429i | ||||
\(400\) | 75.4775 | − | 151.661i | 0.188694 | − | 0.379152i | ||||
\(401\) | 363.346 | − | 72.2740i | 0.906100 | − | 0.180235i | 0.280021 | − | 0.959994i | \(-0.409659\pi\) |
0.626079 | + | 0.779759i | \(0.284659\pi\) | |||||||
\(402\) | 336.881 | − | 60.9813i | 0.838012 | − | 0.151695i | ||||
\(403\) | 33.0168 | − | 165.986i | 0.0819275 | − | 0.411877i | ||||
\(404\) | 434.611 | + | 465.723i | 1.07577 | + | 1.15278i | ||||
\(405\) | 187.314 | + | 280.335i | 0.462504 | + | 0.692186i | ||||
\(406\) | −182.311 | − | 79.2317i | −0.449042 | − | 0.195152i | ||||
\(407\) | − | 94.5391i | − | 0.232283i | ||||||
\(408\) | 61.4476 | + | 425.072i | 0.150607 | + | 1.04184i | ||||
\(409\) | −568.749 | −1.39059 | −0.695293 | − | 0.718727i | \(-0.744725\pi\) | ||||
−0.695293 | + | 0.718727i | \(0.744725\pi\) | |||||||
\(410\) | −8.69828 | + | 20.0146i | −0.0212153 | + | 0.0488162i | ||||
\(411\) | −229.131 | + | 153.101i | −0.557497 | + | 0.372507i | ||||
\(412\) | −68.3085 | − | 73.1985i | −0.165797 | − | 0.177666i | ||||
\(413\) | −224.576 | − | 44.6709i | −0.543767 | − | 0.108162i | ||||
\(414\) | −2.98961 | − | 16.5156i | −0.00722128 | − | 0.0398927i | ||||
\(415\) | 10.4582 | + | 52.5767i | 0.0252004 | + | 0.126691i | ||||
\(416\) | 65.1957 | + | 206.120i | 0.156721 | + | 0.495481i | ||||
\(417\) | −162.216 | + | 391.624i | −0.389007 | + | 0.939146i | ||||
\(418\) | −397.439 | + | 573.129i | −0.950812 | + | 1.37112i | ||||
\(419\) | −290.332 | + | 434.513i | −0.692917 | + | 1.03702i | 0.303532 | + | 0.952821i | \(0.401834\pi\) |
−0.996449 | + | 0.0842018i | \(0.973166\pi\) | |||||||
\(420\) | −46.3735 | + | 197.263i | −0.110413 | + | 0.469674i | ||||
\(421\) | 12.0004 | − | 12.0004i | 0.0285044 | − | 0.0285044i | −0.692711 | − | 0.721215i | \(-0.743584\pi\) |
0.721215 | + | 0.692711i | \(0.243584\pi\) | |||||||
\(422\) | −362.911 | − | 78.7265i | −0.859979 | − | 0.186556i | ||||
\(423\) | 64.3805 | − | 26.6673i | 0.152200 | − | 0.0630432i | ||||
\(424\) | −132.804 | − | 147.332i | −0.313217 | − | 0.347480i | ||||
\(425\) | −68.7183 | − | 166.358i | −0.161690 | − | 0.391431i | ||||
\(426\) | 539.181 | + | 558.135i | 1.26568 | + | 1.31018i | ||||
\(427\) | 49.4960 | − | 20.5019i | 0.115916 | − | 0.0480139i | ||||
\(428\) | −48.6792 | − | 78.6007i | −0.113736 | − | 0.183647i | ||||
\(429\) | 157.530 | + | 157.530i | 0.367202 | + | 0.367202i | ||||
\(430\) | 31.0020 | + | 48.1787i | 0.0720976 | + | 0.112044i | ||||
\(431\) | −372.046 | + | 556.807i | −0.863217 | + | 1.29190i | 0.0919308 | + | 0.995765i | \(0.470696\pi\) |
−0.955148 | + | 0.296130i | \(0.904304\pi\) | |||||||
\(432\) | 402.306 | − | 51.4775i | 0.931265 | − | 0.119161i | ||||
\(433\) | −587.526 | − | 243.361i | −1.35687 | − | 0.562035i | −0.418676 | − | 0.908136i | \(-0.637506\pi\) |
−0.938197 | + | 0.346101i | \(0.887506\pi\) | |||||||
\(434\) | −77.6275 | − | 196.964i | −0.178865 | − | 0.453834i | ||||
\(435\) | −55.0149 | − | 276.579i | −0.126471 | − | 0.635813i | ||||
\(436\) | −318.742 | − | 229.285i | −0.731059 | − | 0.525883i | ||||
\(437\) | 56.1883 | − | 282.478i | 0.128577 | − | 0.646402i | ||||
\(438\) | 8.02322 | − | 464.496i | 0.0183179 | − | 1.06049i | ||||
\(439\) | −230.592 | + | 154.076i | −0.525266 | + | 0.350971i | −0.789760 | − | 0.613416i | \(-0.789795\pi\) |
0.264494 | + | 0.964387i | \(0.414795\pi\) | |||||||
\(440\) | 286.315 | + | 136.373i | 0.650715 | + | 0.309939i | ||||
\(441\) | − | 30.3062i | − | 0.0687215i | ||||||
\(442\) | 210.573 | + | 91.7578i | 0.476410 | + | 0.207597i | ||||
\(443\) | 248.442i | 0.560818i | 0.959881 | + | 0.280409i | \(0.0904701\pi\) | ||||
−0.959881 | + | 0.280409i | \(0.909530\pi\) | |||||||
\(444\) | 107.110 | − | 40.0911i | 0.241238 | − | 0.0902952i | ||||
\(445\) | −513.259 | + | 342.949i | −1.15339 | + | 0.770671i | ||||
\(446\) | −7.69919 | + | 445.736i | −0.0172628 | + | 0.999409i | ||||
\(447\) | −176.249 | + | 886.065i | −0.394294 | + | 1.98225i | ||||
\(448\) | 208.112 | + | 172.701i | 0.464536 | + | 0.385493i | ||||
\(449\) | −11.2679 | − | 56.6476i | −0.0250956 | − | 0.126164i | 0.966207 | − | 0.257768i | \(-0.0829871\pi\) |
−0.991302 | + | 0.131604i | \(0.957987\pi\) | |||||||
\(450\) | 19.1705 | − | 7.55548i | 0.0426010 | − | 0.0167899i | ||||
\(451\) | 27.7282 | + | 11.4854i | 0.0614817 | + | 0.0254665i | ||||
\(452\) | −88.2846 | − | 540.846i | −0.195320 | − | 1.19656i | ||||
\(453\) | −424.470 | + | 635.264i | −0.937020 | + | 1.40235i | ||||
\(454\) | 109.519 | + | 170.199i | 0.241232 | + | 0.374887i | ||||
\(455\) | 76.6325 | + | 76.6325i | 0.168423 | + | 0.168423i | ||||
\(456\) | −817.877 | − | 207.239i | −1.79359 | − | 0.454471i | ||||
\(457\) | −331.768 | + | 137.423i | −0.725968 | + | 0.300706i | −0.714894 | − | 0.699233i | \(-0.753525\pi\) |
−0.0110743 | + | 0.999939i | \(0.503525\pi\) | |||||||
\(458\) | 468.781 | − | 452.862i | 1.02354 | − | 0.988781i | ||||
\(459\) | 239.763 | − | 358.077i | 0.522360 | − | 0.780124i | ||||
\(460\) | −130.882 | − | 4.52280i | −0.284527 | − | 0.00983218i | ||||
\(461\) | −397.028 | + | 164.454i | −0.861232 | + | 0.356734i | −0.769189 | − | 0.639021i | \(-0.779340\pi\) |
−0.0920429 | + | 0.995755i | \(0.529340\pi\) | |||||||
\(462\) | 272.353 | + | 59.0818i | 0.589509 | + | 0.127883i | ||||
\(463\) | 218.280 | − | 218.280i | 0.471447 | − | 0.471447i | −0.430935 | − | 0.902383i | \(-0.641816\pi\) |
0.902383 | + | 0.430935i | \(0.141816\pi\) | |||||||
\(464\) | −363.164 | − | 98.7257i | −0.782680 | − | 0.212771i | ||||
\(465\) | 166.856 | − | 249.718i | 0.358830 | − | 0.537028i | ||||
\(466\) | 651.398 | + | 451.715i | 1.39785 | + | 0.969346i | ||||
\(467\) | −55.7544 | + | 134.603i | −0.119388 | + | 0.288229i | −0.972264 | − | 0.233884i | \(-0.924856\pi\) |
0.852876 | + | 0.522113i | \(0.174856\pi\) | |||||||
\(468\) | −10.8960 | + | 23.9321i | −0.0232820 | + | 0.0511370i | ||||
\(469\) | −44.6843 | − | 224.643i | −0.0952758 | − | 0.478984i | ||||
\(470\) | −96.8507 | − | 535.035i | −0.206065 | − | 1.13837i | ||||
\(471\) | 270.977 | + | 53.9006i | 0.575322 | + | 0.114439i | ||||
\(472\) | −432.922 | − | 22.4514i | −0.917207 | − | 0.0475665i | ||||
\(473\) | 65.5130 | − | 43.7744i | 0.138505 | − | 0.0925463i | ||||
\(474\) | −543.455 | − | 236.183i | −1.14653 | − | 0.498277i | ||||
\(475\) | 353.591 | 0.744401 | ||||||||
\(476\) | 283.631 | − | 46.0152i | 0.595864 | − | 0.0966706i | ||||
\(477\) | − | 24.1267i | − | 0.0505800i | ||||||
\(478\) | −74.8432 | − | 32.5265i | −0.156576 | − | 0.0680472i | ||||
\(479\) | 112.422 | + | 168.251i | 0.234701 | + | 0.351254i | 0.930060 | − | 0.367408i | \(-0.119755\pi\) |
−0.695359 | + | 0.718662i | \(0.744755\pi\) | |||||||
\(480\) | −33.0890 | + | 382.216i | −0.0689355 | + | 0.796283i | ||||
\(481\) | 11.9326 | − | 59.9894i | 0.0248080 | − | 0.124718i | ||||
\(482\) | 97.2663 | + | 537.331i | 0.201797 | + | 1.11479i | ||||
\(483\) | −112.873 | + | 22.4518i | −0.233691 | + | 0.0464841i | ||||
\(484\) | −19.8283 | + | 43.5512i | −0.0409676 | + | 0.0899819i | ||||
\(485\) | −142.599 | − | 59.0665i | −0.294019 | − | 0.121787i | ||||
\(486\) | 85.9947 | + | 59.6335i | 0.176944 | + | 0.122703i | ||||
\(487\) | 506.815 | + | 338.643i | 1.04069 | + | 0.695365i | 0.953674 | − | 0.300842i | \(-0.0972676\pi\) |
0.0870138 | + | 0.996207i | \(0.472268\pi\) | |||||||
\(488\) | 87.1396 | − | 51.9071i | 0.178565 | − | 0.106367i | ||||
\(489\) | −349.398 | − | 349.398i | −0.714514 | − | 0.714514i | ||||
\(490\) | −231.095 | − | 50.1316i | −0.471622 | − | 0.102309i | ||||
\(491\) | 304.348 | + | 734.761i | 0.619854 | + | 1.49646i | 0.851873 | + | 0.523748i | \(0.175467\pi\) |
−0.232020 | + | 0.972711i | \(0.574533\pi\) | |||||||
\(492\) | −1.25390 | + | 36.2857i | −0.00254858 | + | 0.0737515i | ||||
\(493\) | −332.692 | + | 221.830i | −0.674831 | + | 0.449959i | ||||
\(494\) | −324.533 | + | 313.512i | −0.656950 | + | 0.634640i | ||||
\(495\) | 14.7619 | + | 35.6384i | 0.0298220 | + | 0.0719968i | ||||
\(496\) | −199.144 | − | 347.841i | −0.401500 | − | 0.701293i | ||||
\(497\) | 367.121 | − | 367.121i | 0.738673 | − | 0.738673i | ||||
\(498\) | 48.2613 | + | 75.0005i | 0.0969102 | + | 0.150603i | ||||
\(499\) | 85.7659 | + | 57.3069i | 0.171875 | + | 0.114844i | 0.638533 | − | 0.769595i | \(-0.279542\pi\) |
−0.466657 | + | 0.884438i | \(0.654542\pi\) | |||||||
\(500\) | −87.0617 | − | 533.355i | −0.174123 | − | 1.06671i | ||||
\(501\) | −298.611 | + | 720.911i | −0.596031 | + | 1.43895i | ||||
\(502\) | 247.691 | − | 97.6200i | 0.493408 | − | 0.194462i | ||||
\(503\) | 574.448 | − | 114.265i | 1.14204 | − | 0.227167i | 0.412406 | − | 0.911000i | \(-0.364688\pi\) |
0.729638 | + | 0.683833i | \(0.239688\pi\) | |||||||
\(504\) | 4.73794 | + | 32.5518i | 0.00940068 | + | 0.0645869i | ||||
\(505\) | 592.963 | + | 117.948i | 1.17418 | + | 0.233560i | ||||
\(506\) | −3.11052 | + | 180.080i | −0.00614728 | + | 0.355890i | ||||
\(507\) | −216.434 | − | 323.917i | −0.426892 | − | 0.638889i | ||||
\(508\) | 182.599 | + | 487.841i | 0.359446 | + | 0.960316i | ||||
\(509\) | 931.166 | 1.82940 | 0.914701 | − | 0.404131i | \(-0.132426\pi\) | ||||
0.914701 | + | 0.404131i | \(0.132426\pi\) | |||||||
\(510\) | 282.927 | + | 293.443i | 0.554759 | + | 0.575379i | ||||
\(511\) | −310.805 | −0.608229 | ||||||||
\(512\) | 436.989 | + | 266.804i | 0.853495 | + | 0.521101i | ||||
\(513\) | 470.325 | + | 703.891i | 0.916813 | + | 1.37211i | ||||
\(514\) | 4.87133 | − | 282.020i | 0.00947729 | − | 0.548677i | ||||
\(515\) | −93.1969 | − | 18.5380i | −0.180965 | − | 0.0359961i | ||||
\(516\) | 77.3769 | + | 55.6606i | 0.149955 | + | 0.107869i | ||||
\(517\) | −733.413 | + | 145.885i | −1.41859 | + | 0.282176i | ||||
\(518\) | −28.0555 | − | 71.1850i | −0.0541612 | − | 0.137423i | ||||
\(519\) | 306.812 | − | 740.709i | 0.591159 | − | 1.42719i | ||||
\(520\) | 164.467 | + | 122.673i | 0.316282 | + | 0.235910i | ||||
\(521\) | −409.884 | − | 273.876i | −0.786726 | − | 0.525673i | 0.0961014 | − | 0.995372i | \(-0.469363\pi\) |
−0.882827 | + | 0.469698i | \(0.844363\pi\) | |||||||
\(522\) | −24.7711 | − | 38.4956i | −0.0474542 | − | 0.0737463i | ||||
\(523\) | −80.4991 | + | 80.4991i | −0.153918 | + | 0.153918i | −0.779865 | − | 0.625947i | \(-0.784712\pi\) |
0.625947 | + | 0.779865i | \(0.284712\pi\) | |||||||
\(524\) | 146.304 | − | 90.6090i | 0.279205 | − | 0.172918i | ||||
\(525\) | −54.0687 | − | 130.533i | −0.102988 | − | 0.248635i | ||||
\(526\) | −585.083 | − | 605.651i | −1.11233 | − | 1.15143i | ||||
\(527\) | −417.601 | − | 83.4882i | −0.792412 | − | 0.158422i | ||||
\(528\) | 526.362 | + | 36.4217i | 0.996897 | + | 0.0689804i | ||||
\(529\) | 173.977 | + | 420.018i | 0.328880 | + | 0.793986i | ||||
\(530\) | −183.974 | − | 39.9096i | −0.347121 | − | 0.0753011i | ||||
\(531\) | −37.2854 | − | 37.2854i | −0.0702173 | − | 0.0702173i | ||||
\(532\) | −129.177 | + | 549.492i | −0.242814 | + | 1.03288i | ||||
\(533\) | 16.1452 | + | 10.7879i | 0.0302911 | + | 0.0202399i | ||||
\(534\) | −585.232 | + | 843.936i | −1.09594 | + | 1.58040i | ||||
\(535\) | −81.0674 | − | 33.5792i | −0.151528 | − | 0.0627649i | ||||
\(536\) | −144.973 | − | 408.682i | −0.270472 | − | 0.762466i | ||||
\(537\) | −121.587 | + | 24.1851i | −0.226419 | + | 0.0450375i | ||||
\(538\) | −175.676 | − | 970.491i | −0.326535 | − | 1.80389i | ||||
\(539\) | −63.4458 | + | 318.964i | −0.117710 | + | 0.591769i | ||||
\(540\) | 281.429 | − | 262.628i | 0.521165 | − | 0.486349i | ||||
\(541\) | −65.6048 | − | 98.1846i | −0.121266 | − | 0.181487i | 0.765870 | − | 0.642995i | \(-0.222309\pi\) |
−0.887136 | + | 0.461508i | \(0.847309\pi\) | |||||||
\(542\) | 291.363 | − | 670.424i | 0.537571 | − | 1.23694i | ||||
\(543\) | − | 803.075i | − | 1.47896i | ||||||
\(544\) | 518.832 | − | 163.552i | 0.953736 | − | 0.300647i | ||||
\(545\) | −372.651 | −0.683763 | ||||||||
\(546\) | 165.363 | + | 71.8662i | 0.302863 | + | 0.131623i | ||||
\(547\) | −194.652 | + | 130.062i | −0.355853 | + | 0.237773i | −0.720627 | − | 0.693323i | \(-0.756146\pi\) |
0.364774 | + | 0.931096i | \(0.381146\pi\) | |||||||
\(548\) | 238.142 | + | 255.190i | 0.434565 | + | 0.465674i | ||||
\(549\) | 12.1002 | + | 2.40688i | 0.0220405 | + | 0.00438412i | ||||
\(550\) | −217.581 | + | 39.3859i | −0.395601 | + | 0.0716107i | ||||
\(551\) | −153.248 | − | 770.432i | −0.278128 | − | 1.39824i | ||||
\(552\) | −205.344 | + | 72.8423i | −0.372000 | + | 0.131961i | ||||
\(553\) | −151.709 | + | 366.259i | −0.274339 | + | 0.662313i | ||||
\(554\) | −8.88987 | − | 6.16473i | −0.0160467 | − | 0.0111277i | ||||
\(555\) | 60.3037 | − | 90.2509i | 0.108655 | − | 0.162614i | ||||
\(556\) | 522.659 | + | 122.869i | 0.940034 | + | 0.220987i | ||||
\(557\) | 254.316 | − | 254.316i | 0.456581 | − | 0.456581i | −0.440951 | − | 0.897531i | \(-0.645359\pi\) |
0.897531 | + | 0.440951i | \(0.145359\pi\) | |||||||
\(558\) | 10.3357 | − | 47.6451i | 0.0185227 | − | 0.0853855i | ||||
\(559\) | 47.0962 | − | 19.5079i | 0.0842507 | − | 0.0348978i | ||||
\(560\) | 256.056 | + | 17.7178i | 0.457243 | + | 0.0316390i | ||||
\(561\) | 396.787 | − | 396.016i | 0.707285 | − | 0.705911i | ||||
\(562\) | −323.568 | + | 312.580i | −0.575744 | + | 0.556192i | ||||
\(563\) | −438.189 | + | 181.504i | −0.778310 | + | 0.322387i | −0.736233 | − | 0.676728i | \(-0.763397\pi\) |
−0.0420767 | + | 0.999114i | \(0.513397\pi\) | |||||||
\(564\) | −476.300 | − | 769.066i | −0.844504 | − | 1.36359i | ||||
\(565\) | −367.769 | − | 367.769i | −0.650918 | − | 0.650918i | ||||
\(566\) | 871.465 | − | 560.770i | 1.53969 | − | 0.990759i | ||||
\(567\) | 208.493 | − | 312.032i | 0.367713 | − | 0.550321i | ||||
\(568\) | 587.687 | − | 787.906i | 1.03466 | − | 1.38716i | ||||
\(569\) | 470.318 | + | 194.812i | 0.826570 | + | 0.342377i | 0.755544 | − | 0.655098i | \(-0.227373\pi\) |
0.0710262 | + | 0.997474i | \(0.477373\pi\) | |||||||
\(570\) | −744.994 | + | 293.618i | −1.30701 | + | 0.515119i | ||||
\(571\) | −95.2326 | − | 478.766i | −0.166782 | − | 0.838470i | −0.970060 | − | 0.242866i | \(-0.921913\pi\) |
0.803278 | − | 0.595604i | \(-0.203087\pi\) | |||||||
\(572\) | 164.779 | − | 229.068i | 0.288075 | − | 0.400468i | ||||
\(573\) | 175.244 | − | 881.010i | 0.305836 | − | 1.53754i | ||||
\(574\) | 24.2869 | + | 0.419507i | 0.0423117 | + | 0.000730849i | ||||
\(575\) | 75.9217 | − | 50.7292i | 0.132038 | − | 0.0882248i | ||||
\(576\) | 17.7530 | + | 59.6935i | 0.0308211 | + | 0.103635i | ||||
\(577\) | 350.744i | 0.607875i | 0.952692 | + | 0.303938i | \(0.0983014\pi\) | ||||
−0.952692 | + | 0.303938i | \(0.901699\pi\) | |||||||
\(578\) | 231.411 | − | 529.654i | 0.400365 | − | 0.916356i | ||||
\(579\) | − | 186.159i | − | 0.321518i | ||||||
\(580\) | −334.517 | + | 125.210i | −0.576754 | + | 0.215879i | ||||
\(581\) | 49.6121 | − | 33.1497i | 0.0853908 | − | 0.0570563i | ||||
\(582\) | −256.753 | − | 4.43489i | −0.441157 | − | 0.00762009i | ||||
\(583\) | −50.5090 | + | 253.926i | −0.0866364 | + | 0.435551i | ||||
\(584\) | −582.290 | + | 84.7528i | −0.997072 | + | 0.145125i | ||||
\(585\) | 4.86886 | + | 24.4774i | 0.00832285 | + | 0.0418418i | ||||
\(586\) | 46.6911 | + | 118.469i | 0.0796777 | + | 0.202166i | ||||
\(587\) | 337.083 | + | 139.624i | 0.574247 | + | 0.237861i | 0.650857 | − | 0.759200i | \(-0.274410\pi\) |
−0.0766099 | + | 0.997061i | \(0.524410\pi\) | |||||||
\(588\) | −388.280 | + | 63.3806i | −0.660340 | + | 0.107790i | ||||
\(589\) | 464.791 | − | 695.609i | 0.789119 | − | 1.18100i | ||||
\(590\) | −345.990 | + | 222.637i | −0.586424 | + | 0.377351i | ||||
\(591\) | 285.419 | + | 285.419i | 0.482942 | + | 0.482942i | ||||
\(592\) | −71.9729 | − | 125.714i | −0.121576 | − | 0.212355i | ||||
\(593\) | −644.772 | + | 267.073i | −1.08731 | + | 0.450377i | −0.853067 | − | 0.521802i | \(-0.825260\pi\) |
−0.234239 | + | 0.972179i | \(0.575260\pi\) | |||||||
\(594\) | −367.818 | − | 380.748i | −0.619223 | − | 0.640990i | ||||
\(595\) | 193.022 | − | 192.647i | 0.324408 | − | 0.323777i | ||||
\(596\) | 1143.61 | + | 39.5189i | 1.91881 | + | 0.0663068i | ||||
\(597\) | −289.120 | + | 119.757i | −0.484288 | + | 0.200599i | ||||
\(598\) | −24.7033 | + | 113.877i | −0.0413099 | + | 0.190429i | ||||
\(599\) | −174.872 | + | 174.872i | −0.291939 | + | 0.291939i | −0.837846 | − | 0.545907i | \(-0.816185\pi\) |
0.545907 | + | 0.837846i | \(0.316185\pi\) | |||||||
\(600\) | −136.892 | − | 229.809i | −0.228153 | − | 0.383015i | ||||
\(601\) | −43.4738 | + | 65.0631i | −0.0723357 | + | 0.108258i | −0.865874 | − | 0.500263i | \(-0.833237\pi\) |
0.793538 | + | 0.608521i | \(0.208237\pi\) | |||||||
\(602\) | 36.3387 | − | 52.4024i | 0.0603633 | − | 0.0870472i | ||||
\(603\) | 20.1848 | − | 48.7303i | 0.0334739 | − | 0.0808131i | ||||
\(604\) | 880.741 | + | 400.990i | 1.45818 | + | 0.663890i | ||||
\(605\) | 8.86026 | + | 44.5436i | 0.0146451 | + | 0.0736257i | ||||
\(606\) | 989.764 | − | 179.165i | 1.63327 | − | 0.295651i | ||||
\(607\) | −645.316 | − | 128.361i | −1.06312 | − | 0.211468i | −0.367609 | − | 0.929981i | \(-0.619823\pi\) |
−0.695514 | + | 0.718512i | \(0.744823\pi\) | |||||||
\(608\) | −92.1722 | + | 1064.69i | −0.151599 | + | 1.75114i | ||||
\(609\) | −260.983 | + | 174.383i | −0.428544 | + | 0.286344i | ||||
\(610\) | 38.3691 | − | 88.2868i | 0.0629001 | − | 0.144732i | ||||
\(611\) | −483.798 | −0.791813 | ||||||||
\(612\) | 60.1952 | + | 27.4768i | 0.0983582 | + | 0.0448967i | ||||
\(613\) | − | 972.446i | − | 1.58637i | −0.608980 | − | 0.793186i | \(-0.708421\pi\) | ||
0.608980 | − | 0.793186i | \(-0.291579\pi\) | |||||||
\(614\) | −331.770 | + | 763.400i | −0.540343 | + | 1.24332i | ||||
\(615\) | 19.1443 | + | 28.6515i | 0.0311289 | + | 0.0465878i | ||||
\(616\) | 18.2816 | − | 352.517i | 0.0296779 | − | 0.572268i | ||||
\(617\) | −60.2938 | + | 303.118i | −0.0977210 | + | 0.491276i | 0.900667 | + | 0.434511i | \(0.143079\pi\) |
−0.998388 | + | 0.0567655i | \(0.981921\pi\) | |||||||
\(618\) | −155.563 | + | 28.1596i | −0.251720 | + | 0.0455656i | ||||
\(619\) | 587.478 | − | 116.857i | 0.949076 | − | 0.188783i | 0.303803 | − | 0.952735i | \(-0.401744\pi\) |
0.645273 | + | 0.763952i | \(0.276744\pi\) | |||||||
\(620\) | −346.213 | − | 157.626i | −0.558408 | − | 0.254236i | ||||
\(621\) | 201.973 | + | 83.6599i | 0.325238 | + | 0.134718i | ||||
\(622\) | 263.158 | − | 379.489i | 0.423084 | − | 0.610110i | ||||
\(623\) | 571.292 | + | 381.725i | 0.917001 | + | 0.612720i | ||||
\(624\) | 329.403 | + | 89.5481i | 0.527890 | + | 0.143507i | ||||
\(625\) | −175.507 | − | 175.507i | −0.280811 | − | 0.280811i | ||||
\(626\) | 213.436 | − | 983.891i | 0.340952 | − | 1.57171i | ||||
\(627\) | 421.441 | + | 1017.45i | 0.672155 | + | 1.62273i | ||||
\(628\) | 12.0857 | − | 349.739i | 0.0192447 | − | 0.556909i | ||||
\(629\) | −150.926 | − | 30.1736i | −0.239946 | − | 0.0479707i | ||||
\(630\) | 21.6913 | + | 22.4538i | 0.0344307 | + | 0.0356410i | ||||
\(631\) | −183.224 | − | 442.341i | −0.290370 | − | 0.701015i | 0.709624 | − | 0.704581i | \(-0.248865\pi\) |
−0.999994 | + | 0.00356556i | \(0.998865\pi\) | |||||||
\(632\) | −184.352 | + | 727.551i | −0.291696 | + | 1.15119i | ||||
\(633\) | −414.625 | + | 414.625i | −0.655016 | + | 0.655016i | ||||
\(634\) | −723.102 | + | 465.301i | −1.14054 | + | 0.733913i | ||||
\(635\) | 411.056 | + | 274.659i | 0.647333 | + | 0.432534i | ||||
\(636\) | −309.109 | + | 50.4571i | −0.486020 | + | 0.0793350i | ||||
\(637\) | −80.5186 | + | 194.389i | −0.126403 | + | 0.305163i | ||||
\(638\) | 180.118 | + | 457.012i | 0.282317 | + | 0.716320i | ||||
\(639\) | 117.263 | − | 23.3251i | 0.183511 | − | 0.0365025i | ||||
\(640\) | 484.549 | − | 36.6291i | 0.757108 | − | 0.0572330i | ||||
\(641\) | −522.573 | − | 103.946i | −0.815247 | − | 0.162163i | −0.230180 | − | 0.973148i | \(-0.573932\pi\) |
−0.585067 | + | 0.810985i | \(0.698932\pi\) | |||||||
\(642\) | −145.964 | − | 2.52123i | −0.227358 | − | 0.00392715i | ||||
\(643\) | 248.267 | + | 371.558i | 0.386107 | + | 0.577851i | 0.972710 | − | 0.232024i | \(-0.0745349\pi\) |
−0.586603 | + | 0.809875i | \(0.699535\pi\) | |||||||
\(644\) | 51.0986 | + | 136.518i | 0.0793456 | + | 0.211984i | ||||
\(645\) | 90.4638 | 0.140254 | ||||||||
\(646\) | 788.116 | + | 817.410i | 1.21999 | + | 1.26534i | ||||
\(647\) | −122.892 | −0.189942 | −0.0949709 | − | 0.995480i | \(-0.530276\pi\) | ||||
−0.0949709 | + | 0.995480i | \(0.530276\pi\) | |||||||
\(648\) | 305.522 | − | 641.442i | 0.471485 | − | 0.989880i | ||||
\(649\) | 314.361 | + | 470.474i | 0.484377 | + | 0.724922i | ||||
\(650\) | −143.036 | − | 2.47066i | −0.220056 | − | 0.00380102i | ||||
\(651\) | −327.868 | − | 65.2169i | −0.503637 | − | 0.100180i | ||||
\(652\) | −365.476 | + | 508.068i | −0.560546 | + | 0.779246i | ||||
\(653\) | −108.830 | + | 21.6477i | −0.166662 | + | 0.0331512i | −0.277716 | − | 0.960663i | \(-0.589577\pi\) |
0.111054 | + | 0.993814i | \(0.464577\pi\) | |||||||
\(654\) | −576.804 | + | 227.331i | −0.881964 | + | 0.347600i | ||||
\(655\) | 62.5027 | − | 150.895i | 0.0954240 | − | 0.230374i | ||||
\(656\) | 45.6156 | − | 5.83680i | 0.0695360 | − | 0.00889756i | ||||
\(657\) | −59.5112 | − | 39.7641i | −0.0905803 | − | 0.0605238i | ||||
\(658\) | −508.944 | + | 327.495i | −0.773471 | + | 0.497712i | ||||
\(659\) | 166.662 | − | 166.662i | 0.252902 | − | 0.252902i | −0.569257 | − | 0.822159i | \(-0.692769\pi\) |
0.822159 | + | 0.569257i | \(0.192769\pi\) | |||||||
\(660\) | 425.724 | − | 263.660i | 0.645036 | − | 0.399485i | ||||
\(661\) | −214.194 | − | 517.110i | −0.324045 | − | 0.782315i | −0.999011 | − | 0.0444655i | \(-0.985842\pi\) |
0.674966 | − | 0.737849i | \(-0.264158\pi\) | |||||||
\(662\) | −731.919 | + | 707.064i | −1.10562 | + | 1.06807i | ||||
\(663\) | 301.764 | − | 201.208i | 0.455150 | − | 0.303481i | ||||
\(664\) | 83.9081 | − | 75.6342i | 0.126368 | − | 0.113907i | ||||
\(665\) | 205.016 | + | 494.952i | 0.308295 | + | 0.744289i | ||||
\(666\) | 3.73544 | − | 17.2195i | 0.00560876 | − | 0.0258551i | ||||
\(667\) | −143.438 | − | 143.438i | −0.215049 | − | 0.215049i | ||||
\(668\) | 962.124 | + | 226.180i | 1.44031 | + | 0.338594i | ||||
\(669\) | 585.294 | + | 391.081i | 0.874879 | + | 0.584575i | ||||
\(670\) | −338.196 | − | 234.524i | −0.504770 | − | 0.350035i | ||||
\(671\) | −122.312 | − | 50.6634i | −0.182284 | − | 0.0755044i | ||||
\(672\) | 407.142 | − | 128.779i | 0.605866 | − | 0.191635i | ||||
\(673\) | 892.388 | − | 177.507i | 1.32598 | − | 0.263755i | 0.519227 | − | 0.854637i | \(-0.326220\pi\) |
0.806758 | + | 0.590882i | \(0.201220\pi\) | |||||||
\(674\) | −645.142 | + | 116.782i | −0.957184 | + | 0.173267i | ||||
\(675\) | −52.3605 | + | 263.234i | −0.0775712 | + | 0.389977i | ||||
\(676\) | −360.755 | + | 336.655i | −0.533661 | + | 0.498010i | ||||
\(677\) | 181.077 | + | 271.000i | 0.267469 | + | 0.400296i | 0.940755 | − | 0.339086i | \(-0.110118\pi\) |
−0.673286 | + | 0.739382i | \(0.735118\pi\) | |||||||
\(678\) | −793.599 | − | 344.895i | −1.17050 | − | 0.508695i | ||||
\(679\) | 171.800i | 0.253019i | ||||||||
\(680\) | 309.093 | − | 413.558i | 0.454548 | − | 0.608173i | ||||
\(681\) | 319.577 | 0.469277 | ||||||||
\(682\) | −208.525 | + | 479.813i | −0.305755 | + | 0.703538i | ||||
\(683\) | 81.4199 | − | 54.4030i | 0.119209 | − | 0.0796530i | −0.494536 | − | 0.869157i | \(-0.664662\pi\) |
0.613745 | + | 0.789504i | \(0.289662\pi\) | |||||||
\(684\) | −95.0357 | + | 88.6869i | −0.138941 | + | 0.129659i | ||||
\(685\) | 324.909 | + | 64.6285i | 0.474320 | + | 0.0943482i | ||||
\(686\) | 120.645 | + | 666.483i | 0.175867 | + | 0.971549i | ||||
\(687\) | −200.786 | − | 1009.42i | −0.292265 | − | 1.46931i | ||||
\(688\) | 53.7907 | − | 108.084i | 0.0781841 | − | 0.157099i | ||||
\(689\) | −64.1006 | + | 154.752i | −0.0930342 | + | 0.224604i | ||||
\(690\) | −117.837 | + | 169.928i | −0.170779 | + | 0.246272i | ||||
\(691\) | 245.682 | − | 367.689i | 0.355545 | − | 0.532111i | −0.609981 | − | 0.792416i | \(-0.708823\pi\) |
0.965527 | + | 0.260305i | \(0.0838230\pi\) | |||||||
\(692\) | −988.546 | − | 232.392i | −1.42853 | − | 0.335826i | ||||
\(693\) | 30.3605 | − | 30.3605i | 0.0438103 | − | 0.0438103i | ||||
\(694\) | 554.042 | + | 120.189i | 0.798331 | + | 0.173183i | ||||
\(695\) | 470.782 | − | 195.004i | 0.677384 | − | 0.280582i | ||||
\(696\) | −441.397 | + | 397.872i | −0.634191 | + | 0.571655i | ||||
\(697\) | 27.1856 | − | 40.6007i | 0.0390038 | − | 0.0582506i | ||||
\(698\) | −893.075 | − | 924.469i | −1.27948 | − | 1.32445i | ||||
\(699\) | 1156.40 | − | 478.995i | 1.65436 | − | 0.685257i | ||||
\(700\) | −152.143 | + | 94.2257i | −0.217347 | + | 0.134608i | ||||
\(701\) | 172.221 | + | 172.221i | 0.245679 | + | 0.245679i | 0.819195 | − | 0.573515i | \(-0.194421\pi\) |
−0.573515 | + | 0.819195i | \(0.694421\pi\) | |||||||
\(702\) | −185.340 | − | 288.028i | −0.264017 | − | 0.410296i | ||||
\(703\) | 167.981 | − | 251.401i | 0.238949 | − | 0.357612i | ||||
\(704\) | −61.8767 | − | 665.422i | −0.0878930 | − | 0.945201i | ||||
\(705\) | −793.202 | − | 328.555i | −1.12511 | − | 0.466035i | ||||
\(706\) | 179.197 | + | 454.675i | 0.253820 | + | 0.644016i | ||||
\(707\) | −131.284 | − | 660.007i | −0.185691 | − | 0.933532i | ||||
\(708\) | −399.720 | + | 555.673i | −0.564577 | + | 0.784849i | ||||
\(709\) | 236.025 | − | 1186.58i | 0.332899 | − | 1.67360i | −0.345126 | − | 0.938556i | \(-0.612164\pi\) |
0.678025 | − | 0.735039i | \(-0.262836\pi\) | |||||||
\(710\) | 16.1115 | − | 932.755i | 0.0226922 | − | 1.31374i | ||||
\(711\) | −75.9073 | + | 50.7196i | −0.106761 | + | 0.0713356i | ||||
\(712\) | 1174.40 | + | 559.373i | 1.64944 | + | 0.785636i | ||||
\(713\) | − | 216.042i | − | 0.303004i | ||||||
\(714\) | 181.246 | − | 415.938i | 0.253846 | − | 0.582546i | ||||
\(715\) | − | 267.811i | − | 0.374560i | ||||||
\(716\) | 55.0435 | + | 147.057i | 0.0768764 | + | 0.205387i | ||||
\(717\) | −107.140 | + | 71.5886i | −0.149428 | + | 0.0998446i | ||||
\(718\) | −0.617407 | + | 35.7441i | −0.000859898 | + | 0.0497829i | ||||
\(719\) | 23.1602 | − | 116.434i | 0.0322117 | − | 0.161939i | −0.961331 | − | 0.275394i | \(-0.911192\pi\) |
0.993543 | + | 0.113455i | \(0.0361917\pi\) | |||||||
\(720\) | 46.7613 | + | 36.1521i | 0.0649463 | + | 0.0502112i | ||||
\(721\) | 20.6340 | + | 103.734i | 0.0286187 | + | 0.143876i | ||||
\(722\) | −1403.53 | + | 553.159i | −1.94394 | + | 0.766148i | ||||
\(723\) | 796.605 | + | 329.965i | 1.10181 | + | 0.456383i | ||||
\(724\) | −1003.90 | + | 163.871i | −1.38660 | + | 0.226341i | ||||
\(725\) | 138.359 | − | 207.069i | 0.190840 | − | 0.285613i | ||||
\(726\) | 40.8874 | + | 63.5412i | 0.0563188 | + | 0.0875223i | ||||
\(727\) | 762.761 | + | 762.761i | 1.04919 | + | 1.04919i | 0.998726 | + | 0.0504639i | \(0.0160700\pi\) |
0.0504639 | + | 0.998726i | \(0.483930\pi\) | |||||||
\(728\) | 56.0949 | − | 221.381i | 0.0770534 | − | 0.304094i | ||||
\(729\) | −585.793 | + | 242.643i | −0.803556 | + | 0.332844i | ||||
\(730\) | −401.657 | + | 388.017i | −0.550214 | + | 0.531530i | ||||
\(731\) | −48.9736 | − | 118.559i | −0.0669954 | − | 0.162187i | ||||
\(732\) | 5.53109 | − | 160.060i | 0.00755613 | − | 0.218662i | ||||
\(733\) | −881.674 | + | 365.201i | −1.20283 | + | 0.498228i | −0.891912 | − | 0.452208i | \(-0.850636\pi\) |
−0.310918 | + | 0.950437i | \(0.600636\pi\) | |||||||
\(734\) | 990.781 | + | 214.931i | 1.34984 | + | 0.292821i | ||||
\(735\) | −264.025 | + | 264.025i | −0.359218 | + | 0.359218i | ||||
\(736\) | 132.959 | + | 241.831i | 0.180651 | + | 0.328574i | ||||
\(737\) | −314.455 | + | 470.615i | −0.426669 | + | 0.638555i | ||||
\(738\) | 4.59665 | + | 3.18757i | 0.00622852 | + | 0.00431920i | ||||
\(739\) | −255.484 | + | 616.792i | −0.345715 | + | 0.834631i | 0.651400 | + | 0.758734i | \(0.274182\pi\) |
−0.997116 | + | 0.0758965i | \(0.975818\pi\) | |||||||
\(740\) | −125.125 | − | 56.9679i | −0.169088 | − | 0.0769836i | ||||
\(741\) | 139.002 | + | 698.812i | 0.187587 | + | 0.943066i | ||||
\(742\) | 37.3235 | + | 206.187i | 0.0503012 | + | 0.277880i | ||||
\(743\) | 267.347 | + | 53.1786i | 0.359821 | + | 0.0715728i | 0.371690 | − | 0.928357i | \(-0.378778\pi\) |
−0.0118697 | + | 0.999930i | \(0.503778\pi\) | |||||||
\(744\) | −632.040 | − | 32.7777i | −0.849516 | − | 0.0440561i | ||||
\(745\) | 903.002 | − | 603.366i | 1.21208 | − | 0.809888i | ||||
\(746\) | −353.329 | − | 153.556i | −0.473632 | − | 0.205838i | ||||
\(747\) | 13.7406 | 0.0183943 | ||||||||
\(748\) | −576.014 | − | 415.203i | −0.770073 | − | 0.555085i | ||||
\(749\) | 97.6680i | 0.130398i | ||||||||
\(750\) | −782.606 | − | 340.117i | −1.04347 | − | 0.453490i | ||||
\(751\) | −492.879 | − | 737.645i | −0.656297 | − | 0.982218i | −0.999083 | − | 0.0428043i | \(-0.986371\pi\) |
0.342787 | − | 0.939413i | \(-0.388629\pi\) | |||||||
\(752\) | −864.197 | + | 752.341i | −1.14920 | + | 1.00045i | ||||
\(753\) | 82.0131 | − | 412.308i | 0.108915 | − | 0.547554i | ||||
\(754\) | 56.6095 | + | 312.730i | 0.0750789 | + | 0.414761i | ||||
\(755\) | 900.809 | − | 179.182i | 1.19312 | − | 0.237327i | ||||
\(756\) | −389.946 | − | 177.537i | −0.515802 | − | 0.234838i | ||||
\(757\) | 283.533 | + | 117.443i | 0.374548 | + | 0.155143i | 0.562013 | − | 0.827128i | \(-0.310027\pi\) |
−0.187465 | + | 0.982271i | \(0.560027\pi\) | |||||||
\(758\) | 394.404 | + | 273.502i | 0.520322 | + | 0.360820i | ||||
\(759\) | 236.462 | + | 157.999i | 0.311545 | + | 0.208168i | ||||
\(760\) | 519.062 | + | 871.382i | 0.682977 | + | 1.14656i | ||||
\(761\) | −627.838 | − | 627.838i | −0.825017 | − | 0.825017i | 0.161805 | − | 0.986823i | \(-0.448268\pi\) |
−0.986823 | + | 0.161805i | \(0.948268\pi\) | |||||||
\(762\) | 803.801 | + | 174.369i | 1.05486 | + | 0.228831i | ||||
\(763\) | 158.732 | + | 383.212i | 0.208036 | + | 0.502244i | ||||
\(764\) | −1137.09 | − | 39.2934i | −1.48833 | − | 0.0514312i | ||||
\(765\) | 61.6060 | − | 12.1919i | 0.0805307 | − | 0.0159372i | ||||
\(766\) | 193.552 | − | 186.979i | 0.252678 | − | 0.244098i | ||||
\(767\) | 140.094 | + | 338.216i | 0.182651 | + | 0.440959i | ||||
\(768\) | 727.660 | − | 352.289i | 0.947474 | − | 0.458709i | ||||
\(769\) | −298.940 | + | 298.940i | −0.388738 | + | 0.388738i | −0.874237 | − | 0.485499i | \(-0.838638\pi\) |
0.485499 | + | 0.874237i | \(0.338638\pi\) | |||||||
\(770\) | −181.288 | − | 281.731i | −0.235439 | − | 0.365884i | ||||
\(771\) | −370.319 | − | 247.439i | −0.480310 | − | 0.320933i | ||||
\(772\) | −232.712 | + | 37.9865i | −0.301441 | + | 0.0492054i | ||||
\(773\) | −144.444 | + | 348.719i | −0.186862 | + | 0.451124i | −0.989352 | − | 0.145541i | \(-0.953508\pi\) |
0.802491 | + | 0.596665i | \(0.203508\pi\) | |||||||
\(774\) | 13.6622 | − | 5.38457i | 0.0176515 | − | 0.00695681i | ||||
\(775\) | 260.137 | − | 51.7444i | 0.335661 | − | 0.0667670i | ||||
\(776\) | 46.8477 | + | 321.865i | 0.0603707 | + | 0.414774i | ||||
\(777\) | −118.495 | − | 23.5701i | −0.152503 | − | 0.0303348i | ||||
\(778\) | −6.89315 | + | 399.071i | −0.00886009 | + | 0.512945i | ||||
\(779\) | 53.3280 | + | 79.8110i | 0.0684570 | + | 0.102453i | ||||
\(780\) | 303.420 | − | 113.570i | 0.389000 | − | 0.145603i | ||||
\(781\) | −1282.99 | −1.64275 | ||||||||
\(782\) | 286.494 | + | 62.4411i | 0.366361 | + | 0.0798480i | ||||
\(783\) | 596.249 | 0.761494 | ||||||||
\(784\) | 158.460 | + | 472.445i | 0.202118 | + | 0.602608i | ||||
\(785\) | −184.522 | − | 276.156i | −0.235059 | − | 0.351791i | ||||
\(786\) | 4.69290 | − | 271.690i | 0.00597061 | − | 0.345662i | ||||
\(787\) | −1058.90 | − | 210.628i | −1.34549 | − | 0.267635i | −0.530783 | − | 0.847508i | \(-0.678102\pi\) |
−0.814707 | + | 0.579873i | \(0.803102\pi\) | |||||||
\(788\) | 298.553 | − | 415.035i | 0.378875 | − | 0.526694i | ||||
\(789\) | −1304.14 | + | 259.409i | −1.65290 | + | 0.328782i | ||||
\(790\) | 261.191 | + | 662.718i | 0.330621 | + | 0.838883i | ||||
\(791\) | −221.539 | + | 534.843i | −0.280075 | + | 0.676160i | ||||
\(792\) | 48.6012 | − | 65.1590i | 0.0613651 | − | 0.0822715i | ||||
\(793\) | −71.2181 | − | 47.5864i | −0.0898084 | − | 0.0600081i | ||||
\(794\) | −509.589 | − | 791.927i | −0.641799 | − | 0.997390i | ||||
\(795\) | −210.190 | + | 210.190i | −0.264390 | + | 0.264390i | ||||
\(796\) | 208.702 | + | 336.984i | 0.262188 | + | 0.423347i | ||||
\(797\) | 224.222 | + | 541.319i | 0.281332 | + | 0.679196i | 0.999867 | − | 0.0162946i | \(-0.00518695\pi\) |
−0.718535 | + | 0.695491i | \(0.755187\pi\) | |||||||
\(798\) | 619.270 | + | 641.040i | 0.776028 | + | 0.803308i | ||||
\(799\) | −1.18371 | + | 1217.41i | −0.00148149 | + | 1.52367i | ||||
\(800\) | −259.344 | + | 218.018i | −0.324181 | + | 0.272523i | ||||
\(801\) | 60.5502 | + | 146.181i | 0.0755932 | + | 0.182498i | ||||
\(802\) | −724.088 | − | 157.077i | −0.902852 | − | 0.195856i | ||||
\(803\) | 543.092 | + | 543.092i | 0.676329 | + | 0.676329i | ||||
\(804\) | −666.541 | − | 156.694i | −0.829031 | − | 0.194892i | ||||
\(805\) | 115.030 | + | 76.8609i | 0.142895 | + | 0.0954794i | ||||
\(806\) | −192.880 | + | 278.143i | −0.239305 | + | 0.345091i | ||||
\(807\) | −1438.78 | − | 595.960i | −1.78287 | − | 0.738488i | ||||
\(808\) | −425.934 | − | 1200.72i | −0.527146 | − | 1.48604i | ||||
\(809\) | −17.1007 | + | 3.40154i | −0.0211381 | + | 0.00420463i | −0.205648 | − | 0.978626i | \(-0.565930\pi\) |
0.184510 | + | 0.982831i | \(0.440930\pi\) | |||||||
\(810\) | −120.110 | − | 663.530i | −0.148284 | − | 0.819172i | ||||
\(811\) | 212.309 | − | 1067.35i | 0.261787 | − | 1.31609i | −0.596372 | − | 0.802708i | \(-0.703392\pi\) |
0.858159 | − | 0.513384i | \(-0.171608\pi\) | |||||||
\(812\) | 271.246 | + | 290.664i | 0.334047 | + | 0.357961i | ||||
\(813\) | −641.270 | − | 959.728i | −0.788770 | − | 1.18048i | ||||
\(814\) | −75.3632 | + | 173.410i | −0.0925838 | + | 0.213034i | ||||
\(815\) | 593.999i | 0.728833i | ||||||||
\(816\) | 226.141 | − | 828.679i | 0.277134 | − | 1.01554i | ||||
\(817\) | 251.994 | 0.308438 | ||||||||
\(818\) | 1043.24 | + | 453.387i | 1.27535 | + | 0.554262i | ||||
\(819\) | 23.0972 | − | 15.4331i | 0.0282017 | − | 0.0188438i | ||||
\(820\) | 31.9099 | − | 29.7782i | 0.0389145 | − | 0.0363149i | ||||
\(821\) | 1448.47 | + | 288.118i | 1.76427 | + | 0.350936i | 0.967409 | − | 0.253220i | \(-0.0814897\pi\) |
0.796866 | + | 0.604156i | \(0.206490\pi\) | |||||||
\(822\) | 542.334 | − | 98.1718i | 0.659773 | − | 0.119430i | ||||
\(823\) | −176.886 | − | 889.265i | −0.214928 | − | 1.08052i | −0.926037 | − | 0.377434i | \(-0.876807\pi\) |
0.711109 | − | 0.703082i | \(-0.248193\pi\) | |||||||
\(824\) | 66.9447 | + | 188.719i | 0.0812436 | + | 0.229027i | ||||
\(825\) | −133.612 | + | 322.568i | −0.161954 | + | 0.390992i | ||||
\(826\) | 376.322 | + | 260.962i | 0.455595 | + | 0.315935i | ||||
\(827\) | −559.101 | + | 836.754i | −0.676060 | + | 1.01179i | 0.321826 | + | 0.946799i | \(0.395703\pi\) |
−0.997886 | + | 0.0649960i | \(0.979297\pi\) | |||||||
\(828\) | −7.68190 | + | 32.6772i | −0.00927765 | + | 0.0394652i | ||||
\(829\) | 35.2358 | − | 35.2358i | 0.0425040 | − | 0.0425040i | −0.685535 | − | 0.728039i | \(-0.740432\pi\) |
0.728039 | + | 0.685535i | \(0.240432\pi\) | |||||||
\(830\) | 22.7292 | − | 104.777i | 0.0273846 | − | 0.126237i | ||||
\(831\) | −15.7818 | + | 6.53702i | −0.0189913 | + | 0.00786645i | ||||
\(832\) | 44.7253 | − | 430.051i | 0.0537564 | − | 0.516888i | ||||
\(833\) | 488.956 | + | 203.089i | 0.586982 | + | 0.243805i | ||||
\(834\) | 609.735 | − | 589.029i | 0.731098 | − | 0.706270i | ||||
\(835\) | 866.628 | − | 358.969i | 1.03788 | − | 0.429903i | ||||
\(836\) | 1185.89 | − | 734.446i | 1.41853 | − | 0.878524i | ||||
\(837\) | 449.026 | + | 449.026i | 0.536471 | + | 0.536471i | ||||
\(838\) | 878.924 | − | 565.569i | 1.04884 | − | 0.674903i | ||||
\(839\) | −505.556 | + | 756.618i | −0.602570 | + | 0.901810i | −0.999874 | − | 0.0158774i | \(-0.994946\pi\) |
0.397304 | + | 0.917687i | \(0.369946\pi\) | |||||||
\(840\) | 242.313 | − | 324.866i | 0.288467 | − | 0.386745i | ||||
\(841\) | 265.837 | + | 110.113i | 0.316097 | + | 0.130931i | ||||
\(842\) | −31.5781 | + | 12.4456i | −0.0375037 | + | 0.0147810i | ||||
\(843\) | 138.589 | + | 696.734i | 0.164400 | + | 0.826493i | ||||
\(844\) | 602.917 | + | 433.705i | 0.714357 | + | 0.513868i | ||||
\(845\) | −91.3636 | + | 459.316i | −0.108123 | + | 0.543569i | ||||
\(846\) | −139.349 | − | 2.40697i | −0.164715 | − | 0.00284512i | ||||
\(847\) | 42.0319 | − | 28.0848i | 0.0496244 | − | 0.0331580i | ||||
\(848\) | 126.150 | + | 376.112i | 0.148762 | + | 0.443528i | ||||
\(849\) | − | 1636.33i | − | 1.92736i | ||||||
\(850\) | −6.56704 | + | 359.925i | −0.00772593 | + | 0.423441i | ||||
\(851\) | − | 78.0799i | − | 0.0917508i | ||||||
\(852\) | −544.076 | − | 1453.58i | −0.638587 | − | 1.70609i | ||||
\(853\) | 329.151 | − | 219.932i | 0.385875 | − | 0.257833i | −0.347469 | − | 0.937692i | \(-0.612959\pi\) |
0.733344 | + | 0.679858i | \(0.237959\pi\) | |||||||
\(854\) | −107.132 | − | 1.85049i | −0.125448 | − | 0.00216685i | ||||
\(855\) | −24.0684 | + | 121.000i | −0.0281502 | + | 0.141521i | ||||
\(856\) | 26.6329 | + | 182.980i | 0.0311131 | + | 0.213762i | ||||
\(857\) | −12.1047 | − | 60.8546i | −0.0141246 | − | 0.0710089i | 0.973080 | − | 0.230467i | \(-0.0740253\pi\) |
−0.987205 | + | 0.159458i | \(0.949025\pi\) | |||||||
\(858\) | −163.374 | − | 414.528i | −0.190413 | − | 0.483133i | ||||
\(859\) | −111.924 | − | 46.3602i | −0.130295 | − | 0.0539700i | 0.316583 | − | 0.948565i | \(-0.397464\pi\) |
−0.446878 | + | 0.894595i | \(0.647464\pi\) | |||||||
\(860\) | −18.4595 | − | 113.086i | −0.0214646 | − | 0.131496i | ||||
\(861\) | 21.3089 | − | 31.8910i | 0.0247490 | − | 0.0370395i | ||||
\(862\) | 1126.30 | − | 724.749i | 1.30661 | − | 0.840777i | ||||
\(863\) | 557.663 | + | 557.663i | 0.646191 | + | 0.646191i | 0.952070 | − | 0.305879i | \(-0.0989504\pi\) |
−0.305879 | + | 0.952070i | \(0.598950\pi\) | |||||||
\(864\) | −778.973 | − | 226.281i | −0.901589 | − | 0.261899i | ||||
\(865\) | −890.427 | + | 368.827i | −1.02940 | + | 0.426390i | ||||
\(866\) | 883.680 | + | 914.744i | 1.02042 | + | 1.05629i | ||||
\(867\) | −505.574 | − | 759.840i | −0.583131 | − | 0.876401i | ||||
\(868\) | −14.6230 | + | 423.166i | −0.0168468 | + | 0.487518i | ||||
\(869\) | 905.083 | − | 374.898i | 1.04152 | − | 0.431413i | ||||
\(870\) | −119.567 | + | 551.175i | −0.137433 | + | 0.633534i | ||||
\(871\) | −258.937 | + | 258.937i | −0.297287 | + | 0.297287i | ||||
\(872\) | 401.879 | + | 674.659i | 0.460870 | + | 0.773691i | ||||
\(873\) | −21.9799 | + | 32.8952i | −0.0251774 | + | 0.0376807i | ||||
\(874\) | −328.245 | + | 473.348i | −0.375567 | + | 0.541588i | ||||
\(875\) | −218.470 | + | 527.434i | −0.249680 | + | 0.602782i | ||||
\(876\) | −384.996 | + | 845.613i | −0.439493 | + | 0.965311i | ||||
\(877\) | 2.66166 | + | 13.3810i | 0.00303496 | + | 0.0152578i | 0.982273 | − | 0.187456i | \(-0.0600241\pi\) |
−0.979238 | + | 0.202713i | \(0.935024\pi\) | |||||||
\(878\) | 545.791 | − | 98.7976i | 0.621629 | − | 0.112526i | ||||
\(879\) | 197.204 | + | 39.2264i | 0.224351 | + | 0.0446262i | ||||
\(880\) | −416.465 | − | 478.384i | −0.473256 | − | 0.543618i | ||||
\(881\) | 1402.61 | − | 937.193i | 1.59206 | − | 1.06378i | 0.635565 | − | 0.772048i | \(-0.280767\pi\) |
0.956499 | − | 0.291735i | \(-0.0942326\pi\) | |||||||
\(882\) | −24.1590 | + | 55.5896i | −0.0273912 | + | 0.0630268i | ||||
\(883\) | −513.504 | −0.581545 | −0.290772 | − | 0.956792i | \(-0.593912\pi\) | ||||
−0.290772 | + | 0.956792i | \(0.593912\pi\) | |||||||
\(884\) | −313.101 | − | 336.169i | −0.354187 | − | 0.380282i | ||||
\(885\) | 649.655i | 0.734074i | ||||||||
\(886\) | 198.049 | − | 455.709i | 0.223532 | − | 0.514345i | ||||
\(887\) | −450.484 | − | 674.197i | −0.507874 | − | 0.760087i | 0.485596 | − | 0.874183i | \(-0.338603\pi\) |
−0.993470 | + | 0.114097i | \(0.963603\pi\) | |||||||
\(888\) | −228.426 | − | 11.8462i | −0.257237 | − | 0.0133404i | ||||
\(889\) | 107.352 | − | 539.697i | 0.120756 | − | 0.607083i | ||||
\(890\) | 1214.84 | − | 219.907i | 1.36499 | − | 0.247087i | ||||
\(891\) | −909.550 | + | 180.921i | −1.02082 | + | 0.203054i | ||||
\(892\) | 369.447 | − | 811.461i | 0.414179 | − | 0.909710i | ||||
\(893\) | −2209.53 | − | 915.216i | −2.47427 | − | 1.02488i | ||||
\(894\) | 1029.63 | − | 1484.78i | 1.15171 | − | 1.66083i | ||||
\(895\) | 123.911 | + | 82.7947i | 0.138448 | + | 0.0925080i | ||||
\(896\) | −244.062 | − | 482.679i | −0.272391 | − | 0.538704i | ||||
\(897\) | 130.104 | + | 130.104i | 0.145043 | + | 0.145043i | ||||
\(898\) | −24.4891 | + | 112.889i | −0.0272707 | + | 0.125712i | ||||
\(899\) | −225.490 | − | 544.381i | −0.250823 | − | 0.605541i | ||||
\(900\) | −41.1867 | − | 1.42326i | −0.0457630 | − | 0.00158140i | ||||
\(901\) | 389.256 | + | 161.679i | 0.432027 | + | 0.179444i | ||||
\(902\) | −41.7052 | − | 43.1713i | −0.0462364 | − | 0.0478617i | ||||
\(903\) | −38.5332 | − | 93.0275i | −0.0426725 | − | 0.103020i | ||||
\(904\) | −269.206 | + | 1062.43i | −0.297794 | + | 1.17526i | ||||
\(905\) | −682.640 | + | 682.640i | −0.754299 | + | 0.754299i | ||||
\(906\) | 1285.00 | − | 826.871i | 1.41832 | − | 0.912661i | ||||
\(907\) | −321.062 | − | 214.527i | −0.353983 | − | 0.236524i | 0.365846 | − | 0.930675i | \(-0.380780\pi\) |
−0.719829 | + | 0.694152i | \(0.755780\pi\) | |||||||
\(908\) | −65.2112 | − | 399.495i | −0.0718185 | − | 0.439972i | ||||
\(909\) | 59.3033 | − | 143.171i | 0.0652401 | − | 0.157504i | ||||
\(910\) | −79.4756 | − | 201.653i | −0.0873358 | − | 0.221597i | ||||
\(911\) | −579.899 | + | 115.349i | −0.636553 | + | 0.126618i | −0.502809 | − | 0.864398i | \(-0.667700\pi\) |
−0.133744 | + | 0.991016i | \(0.542700\pi\) | |||||||
\(912\) | 1335.00 | + | 1032.11i | 1.46382 | + | 1.13170i | ||||
\(913\) | −144.615 | − | 28.7658i | −0.158396 | − | 0.0315069i | ||||
\(914\) | 718.098 | + | 12.4037i | 0.785665 | + | 0.0135708i | ||||
\(915\) | −84.4476 | − | 126.385i | −0.0922925 | − | 0.138125i | ||||
\(916\) | −1220.87 | + | 456.973i | −1.33283 | + | 0.498879i | ||||
\(917\) | −181.794 | −0.198249 | ||||||||
\(918\) | −725.235 | + | 465.677i | −0.790017 | + | 0.507274i | ||||
\(919\) | 94.7825 | 0.103137 | 0.0515683 | − | 0.998669i | \(-0.483578\pi\) | ||||
0.0515683 | + | 0.998669i | \(0.483578\pi\) | |||||||
\(920\) | 236.467 | + | 112.631i | 0.257030 | + | 0.122425i | ||||
\(921\) | 730.203 | + | 1092.83i | 0.792837 | + | 1.18656i | ||||
\(922\) | 859.352 | + | 14.8436i | 0.932052 | + | 0.0160993i | ||||
\(923\) | −814.117 | − | 161.938i | −0.882033 | − | 0.175447i | ||||
\(924\) | −452.470 | − | 325.482i | −0.489686 | − | 0.352253i | ||||
\(925\) | 94.0165 | − | 18.7010i | 0.101639 | − | 0.0202173i | ||||
\(926\) | −574.389 | + | 226.379i | −0.620290 | + | 0.244469i | ||||
\(927\) | −9.32079 | + | 22.5024i | −0.0100548 | + | 0.0242744i | ||||
\(928\) | 587.438 | + | 470.590i | 0.633015 | + | 0.507101i | ||||
\(929\) | 439.872 | + | 293.913i | 0.473490 | + | 0.316376i | 0.769319 | − | 0.638865i | \(-0.220596\pi\) |
−0.295829 | + | 0.955241i | \(0.595596\pi\) | |||||||
\(930\) | −505.125 | + | 325.037i | −0.543145 | + | 0.349502i | ||||
\(931\) | −735.464 | + | 735.464i | −0.789972 | + | 0.789972i | ||||
\(932\) | −834.745 | − | 1347.84i | −0.895650 | − | 1.44618i | ||||
\(933\) | −279.051 | − | 673.688i | −0.299090 | − | 0.722066i | ||||
\(934\) | 209.569 | − | 202.452i | 0.224378 | − | 0.216758i | ||||
\(935\) | −673.908 | − | 0.655254i | −0.720758 | − | 0.000700807i | ||||
\(936\) | 39.0640 | − | 35.2120i | 0.0417350 | − | 0.0376197i | ||||
\(937\) | −587.413 | − | 1418.14i | −0.626908 | − | 1.51349i | −0.843445 | − | 0.537216i | \(-0.819476\pi\) |
0.216537 | − | 0.976274i | \(-0.430524\pi\) | |||||||
\(938\) | −97.1147 | + | 447.676i | −0.103534 | + | 0.477267i | ||||
\(939\) | −1124.09 | − | 1124.09i | −1.19712 | − | 1.19712i | ||||
\(940\) | −248.861 | + | 1058.60i | −0.264746 | + | 1.12617i | ||||
\(941\) | 1220.60 | + | 815.576i | 1.29713 | + | 0.866712i | 0.996214 | − | 0.0869391i | \(-0.0277086\pi\) |
0.300913 | + | 0.953652i | \(0.402709\pi\) | |||||||
\(942\) | −454.075 | − | 314.881i | −0.482033 | − | 0.334268i | ||||
\(943\) | 22.9008 | + | 9.48581i | 0.0242850 | + | 0.0100592i | ||||
\(944\) | 776.196 | + | 386.292i | 0.822241 | + | 0.409207i | ||||
\(945\) | −398.831 | + | 79.3325i | −0.422044 | + | 0.0839498i | ||||
\(946\) | −155.064 | + | 28.0692i | −0.163915 | + | 0.0296715i | ||||
\(947\) | −79.8060 | + | 401.212i | −0.0842725 | + | 0.423666i | 0.915500 | + | 0.402319i | \(0.131796\pi\) |
−0.999772 | + | 0.0213475i | \(0.993204\pi\) | |||||||
\(948\) | 808.563 | + | 866.445i | 0.852915 | + | 0.913972i | ||||
\(949\) | 276.068 | + | 413.165i | 0.290904 | + | 0.435369i | ||||
\(950\) | −648.579 | − | 281.870i | −0.682715 | − | 0.296705i | ||||
\(951\) | 1357.75i | 1.42771i | ||||||||
\(952\) | −556.937 | − | 141.697i | −0.585017 | − | 0.148841i | ||||
\(953\) | 776.560 | 0.814858 | 0.407429 | − | 0.913237i | \(-0.366425\pi\) | ||||
0.407429 | + | 0.913237i | \(0.366425\pi\) | |||||||
\(954\) | −19.2329 | + | 44.2547i | −0.0201603 | + | 0.0463886i | ||||
\(955\) | −897.850 | + | 599.924i | −0.940157 | + | 0.628193i | ||||
\(956\) | 111.353 | + | 119.325i | 0.116478 | + | 0.124817i | ||||
\(957\) | 760.746 | + | 151.322i | 0.794928 | + | 0.158121i | ||||
\(958\) | −72.0875 | − | 398.235i | −0.0752479 | − | 0.415694i | ||||
\(959\) | −71.9358 | − | 361.646i | −0.0750113 | − | 0.377107i | ||||
\(960\) | 365.383 | − | 674.708i | 0.380607 | − | 0.702821i | ||||
\(961\) | −127.607 | + | 308.071i | −0.132786 | + | 0.320573i | ||||
\(962\) | −69.7090 | + | 100.524i | −0.0724626 | + | 0.104495i | ||||
\(963\) | −12.4956 | + | 18.7009i | −0.0129756 | + | 0.0194194i | ||||
\(964\) | 249.929 | − | 1063.14i | 0.259262 | − | 1.10285i | ||||
\(965\) | −158.241 | + | 158.241i | −0.163981 | + | 0.163981i | ||||
\(966\) | 224.937 | + | 48.7957i | 0.232854 | + | 0.0505131i | ||||
\(967\) | 1032.68 | − | 427.751i | 1.06792 | − | 0.442348i | 0.221666 | − | 0.975123i | \(-0.428851\pi\) |
0.846257 | + | 0.532774i | \(0.178851\pi\) | |||||||
\(968\) | 71.0878 | − | 64.0781i | 0.0734379 | − | 0.0661964i | ||||
\(969\) | 1758.80 | − | 348.070i | 1.81507 | − | 0.359206i | ||||
\(970\) | 214.479 | + | 222.018i | 0.221112 | + | 0.228885i | ||||
\(971\) | −145.404 | + | 60.2285i | −0.149747 | + | 0.0620273i | −0.456298 | − | 0.889827i | \(-0.650825\pi\) |
0.306551 | + | 0.951854i | \(0.400825\pi\) | |||||||
\(972\) | −110.199 | − | 177.935i | −0.113374 | − | 0.183061i | ||||
\(973\) | −401.061 | − | 401.061i | −0.412190 | − | 0.412190i | ||||
\(974\) | −659.679 | − | 1025.18i | −0.677289 | − | 1.05254i | ||||
\(975\) | −125.497 | + | 187.820i | −0.128715 | + | 0.192636i | ||||
\(976\) | −201.216 | + | 25.7468i | −0.206164 | + | 0.0263799i | ||||
\(977\) | 827.978 | + | 342.960i | 0.847470 | + | 0.351034i | 0.763795 | − | 0.645459i | \(-0.223334\pi\) |
0.0836755 | + | 0.996493i | \(0.473334\pi\) | |||||||
\(978\) | 362.361 | + | 919.415i | 0.370512 | + | 0.940097i | ||||
\(979\) | −331.243 | − | 1665.27i | −0.338349 | − | 1.70099i | ||||
\(980\) | 383.926 | + | 276.175i | 0.391762 | + | 0.281812i | ||||
\(981\) | −18.6347 | + | 93.6832i | −0.0189957 | + | 0.0954976i | ||||
\(982\) | 27.4703 | − | 1590.36i | 0.0279738 | − | 1.61951i | ||||
\(983\) | 451.123 | − | 301.431i | 0.458925 | − | 0.306644i | −0.304532 | − | 0.952502i | \(-0.598500\pi\) |
0.763458 | + | 0.645858i | \(0.223500\pi\) | |||||||
\(984\) | 31.2257 | − | 65.5581i | 0.0317334 | − | 0.0666241i | ||||
\(985\) | − | 485.231i | − | 0.492620i | ||||||
\(986\) | 787.079 | − | 141.685i | 0.798255 | − | 0.143697i | ||||
\(987\) | 955.629i | 0.968216i | ||||||||
\(988\) | 845.201 | − | 316.358i | 0.855467 | − | 0.320201i | ||||
\(989\) | 54.1072 | − | 36.1533i | 0.0547090 | − | 0.0365554i | ||||
\(990\) | 1.33240 | − | 77.1380i | 0.00134586 | − | 0.0779171i | ||||
\(991\) | 354.945 | − | 1784.43i | 0.358168 | − | 1.80063i | −0.209979 | − | 0.977706i | \(-0.567340\pi\) |
0.568147 | − | 0.822927i | \(-0.307660\pi\) | |||||||
\(992\) | 87.9960 | + | 796.784i | 0.0887057 | + | 0.803210i | ||||
\(993\) | 313.492 | + | 1576.03i | 0.315702 | + | 1.58714i | ||||
\(994\) | −966.052 | + | 380.741i | −0.971883 | + | 0.383039i | ||||
\(995\) | 347.559 | + | 143.964i | 0.349306 | + | 0.144687i | ||||
\(996\) | −28.7362 | − | 176.043i | −0.0288516 | − | 0.176750i | ||||
\(997\) | 205.212 | − | 307.121i | 0.205829 | − | 0.308045i | −0.714165 | − | 0.699978i | \(-0.753193\pi\) |
0.919994 | + | 0.391932i | \(0.128193\pi\) | |||||||
\(998\) | −111.634 | − | 173.486i | −0.111858 | − | 0.173833i | ||||
\(999\) | 162.283 | + | 162.283i | 0.162446 | + | 0.162446i |
(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 | 136.3.q.a.5.5 | ✓ | 272 | |
8.5 | even | 2 | inner | 136.3.q.a.5.21 | yes | 272 | |
17.7 | odd | 16 | inner | 136.3.q.a.109.21 | yes | 272 | |
136.109 | odd | 16 | inner | 136.3.q.a.109.5 | yes | 272 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
136.3.q.a.5.5 | ✓ | 272 | 1.1 | even | 1 | trivial | |
136.3.q.a.5.21 | yes | 272 | 8.5 | even | 2 | inner | |
136.3.q.a.109.5 | yes | 272 | 136.109 | odd | 16 | inner | |
136.3.q.a.109.21 | yes | 272 | 17.7 | odd | 16 | inner |