Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(16,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.q (of order \(15\), 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: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 106.20 | ||
Character | \(\chi\) | \(=\) | 225.106 |
Dual form | 225.2.q.a.121.20 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.37843 | + | 0.292995i | 0.974700 | + | 0.207179i | 0.667618 | − | 0.744504i | \(-0.267314\pi\) |
0.307082 | + | 0.951683i | \(0.400647\pi\) | |||||||
\(3\) | 1.63456 | − | 0.572891i | 0.943715 | − | 0.330759i | ||||
\(4\) | −0.0128554 | − | 0.00572357i | −0.00642768 | − | 0.00286179i | ||||
\(5\) | 1.56242 | − | 1.59963i | 0.698738 | − | 0.715378i | ||||
\(6\) | 2.42099 | − | 0.310774i | 0.988366 | − | 0.126873i | ||||
\(7\) | −2.48652 | + | 4.30678i | −0.939815 | + | 1.62781i | −0.174002 | + | 0.984745i | \(0.555670\pi\) |
−0.765813 | + | 0.643063i | \(0.777663\pi\) | |||||||
\(8\) | −2.29622 | − | 1.66830i | −0.811838 | − | 0.589835i | ||||
\(9\) | 2.34359 | − | 1.87285i | 0.781197 | − | 0.624284i | ||||
\(10\) | 2.62239 | − | 1.74721i | 0.829271 | − | 0.552515i | ||||
\(11\) | 3.07362 | + | 0.653319i | 0.926732 | + | 0.196983i | 0.646469 | − | 0.762940i | \(-0.276245\pi\) |
0.280263 | + | 0.959923i | \(0.409578\pi\) | |||||||
\(12\) | −0.0242919 | − | 0.00199082i | −0.00701246 | − | 0.000574701i | ||||
\(13\) | −1.44657 | + | 0.307478i | −0.401207 | + | 0.0852791i | −0.404096 | − | 0.914717i | \(-0.632414\pi\) |
0.00288893 | + | 0.999996i | \(0.499080\pi\) | |||||||
\(14\) | −4.68937 | + | 5.20807i | −1.25329 | + | 1.39192i | ||||
\(15\) | 1.63747 | − | 3.50980i | 0.422792 | − | 0.906227i | ||||
\(16\) | −2.65756 | − | 2.95152i | −0.664389 | − | 0.737879i | ||||
\(17\) | −2.39081 | − | 1.73703i | −0.579857 | − | 0.421291i | 0.258816 | − | 0.965927i | \(-0.416668\pi\) |
−0.838672 | + | 0.544636i | \(0.816668\pi\) | |||||||
\(18\) | 3.77922 | − | 1.89494i | 0.890772 | − | 0.446643i | ||||
\(19\) | −1.51211 | − | 1.09861i | −0.346902 | − | 0.252039i | 0.400666 | − | 0.916224i | \(-0.368779\pi\) |
−0.747568 | + | 0.664185i | \(0.768779\pi\) | |||||||
\(20\) | −0.0292411 | + | 0.0116212i | −0.00653852 | + | 0.00259858i | ||||
\(21\) | −1.59706 | + | 8.46420i | −0.348506 | + | 1.84704i | ||||
\(22\) | 4.04537 | + | 1.80111i | 0.862476 | + | 0.383999i | ||||
\(23\) | −4.45542 | + | 4.94825i | −0.929020 | + | 1.03178i | 0.0703930 | + | 0.997519i | \(0.477575\pi\) |
−0.999413 | + | 0.0342618i | \(0.989092\pi\) | |||||||
\(24\) | −4.70908 | − | 1.41146i | −0.961237 | − | 0.288114i | ||||
\(25\) | −0.117657 | − | 4.99862i | −0.0235313 | − | 0.999723i | ||||
\(26\) | −2.08409 | −0.408725 | ||||||||
\(27\) | 2.75781 | − | 4.40392i | 0.530740 | − | 0.847535i | ||||
\(28\) | 0.0566152 | − | 0.0411334i | 0.0106993 | − | 0.00777347i | ||||
\(29\) | 0.427253 | + | 4.06504i | 0.0793388 | + | 0.754859i | 0.959789 | + | 0.280721i | \(0.0905735\pi\) |
−0.880451 | + | 0.474138i | \(0.842760\pi\) | |||||||
\(30\) | 3.28549 | − | 4.35826i | 0.599847 | − | 0.795706i | ||||
\(31\) | −0.681027 | + | 6.47954i | −0.122316 | + | 1.16376i | 0.745371 | + | 0.666649i | \(0.232272\pi\) |
−0.867687 | + | 0.497110i | \(0.834394\pi\) | |||||||
\(32\) | 0.0398007 | + | 0.0689368i | 0.00703584 | + | 0.0121864i | ||||
\(33\) | 5.39831 | − | 0.692961i | 0.939725 | − | 0.120629i | ||||
\(34\) | −2.78664 | − | 3.09487i | −0.477904 | − | 0.530766i | ||||
\(35\) | 3.00427 | + | 10.7065i | 0.507814 | + | 1.80973i | ||||
\(36\) | −0.0408471 | + | 0.0106625i | −0.00680785 | + | 0.00177708i | ||||
\(37\) | 1.50355 | − | 4.62746i | 0.247182 | − | 0.760749i | −0.748088 | − | 0.663600i | \(-0.769028\pi\) |
0.995270 | − | 0.0971489i | \(-0.0309723\pi\) | |||||||
\(38\) | −1.76246 | − | 1.95741i | −0.285908 | − | 0.317533i | ||||
\(39\) | −2.18836 | + | 1.33132i | −0.350418 | + | 0.213182i | ||||
\(40\) | −6.25636 | + | 1.06652i | −0.989217 | + | 0.168631i | ||||
\(41\) | 2.38999 | − | 0.508007i | 0.373253 | − | 0.0793374i | −0.0174658 | − | 0.999847i | \(-0.505560\pi\) |
0.390719 | + | 0.920510i | \(0.372226\pi\) | |||||||
\(42\) | −4.68141 | + | 11.1994i | −0.722357 | + | 1.72811i | ||||
\(43\) | −1.92193 | + | 3.32888i | −0.293091 | + | 0.507649i | −0.974539 | − | 0.224218i | \(-0.928017\pi\) |
0.681448 | + | 0.731867i | \(0.261351\pi\) | |||||||
\(44\) | −0.0357732 | − | 0.0259908i | −0.00539301 | − | 0.00391825i | ||||
\(45\) | 0.665807 | − | 6.67508i | 0.0992527 | − | 0.995062i | ||||
\(46\) | −7.59132 | + | 5.51542i | −1.11928 | + | 0.813204i | ||||
\(47\) | −0.175217 | − | 1.66708i | −0.0255581 | − | 0.243169i | −0.999841 | − | 0.0178399i | \(-0.994321\pi\) |
0.974283 | − | 0.225329i | \(-0.0723456\pi\) | |||||||
\(48\) | −6.03484 | − | 3.30195i | −0.871055 | − | 0.476595i | ||||
\(49\) | −8.86554 | − | 15.3556i | −1.26651 | − | 2.19365i | ||||
\(50\) | 1.30239 | − | 6.92474i | 0.184186 | − | 0.979306i | ||||
\(51\) | −4.90306 | − | 1.46960i | −0.686565 | − | 0.205786i | ||||
\(52\) | 0.0203561 | + | 0.00432682i | 0.00282288 | + | 0.000600021i | ||||
\(53\) | 0.228304 | − | 0.165873i | 0.0313600 | − | 0.0227844i | −0.571995 | − | 0.820257i | \(-0.693830\pi\) |
0.603355 | + | 0.797473i | \(0.293830\pi\) | |||||||
\(54\) | 5.09178 | − | 5.26249i | 0.692904 | − | 0.716134i | ||||
\(55\) | 5.84738 | − | 3.89591i | 0.788460 | − | 0.525324i | ||||
\(56\) | 12.8946 | − | 5.74105i | 1.72312 | − | 0.767181i | ||||
\(57\) | −3.10103 | − | 0.929477i | −0.410741 | − | 0.123112i | ||||
\(58\) | −0.602097 | + | 5.72857i | −0.0790592 | + | 0.752198i | ||||
\(59\) | 2.95891 | − | 0.628937i | 0.385218 | − | 0.0818806i | −0.0112321 | − | 0.999937i | \(-0.503575\pi\) |
0.396450 | + | 0.918056i | \(0.370242\pi\) | |||||||
\(60\) | −0.0411388 | + | 0.0357476i | −0.00531100 | + | 0.00461499i | ||||
\(61\) | 7.58789 | + | 1.61286i | 0.971530 | + | 0.206505i | 0.666226 | − | 0.745750i | \(-0.267909\pi\) |
0.305304 | + | 0.952255i | \(0.401242\pi\) | |||||||
\(62\) | −2.83723 | + | 8.73208i | −0.360328 | + | 1.10898i | ||||
\(63\) | 2.23857 | + | 14.7502i | 0.282034 | + | 1.85835i | ||||
\(64\) | 2.48928 | + | 7.66123i | 0.311161 | + | 0.957654i | ||||
\(65\) | −1.76831 | + | 2.79440i | −0.219332 | + | 0.346602i | ||||
\(66\) | 7.64425 | + | 0.626479i | 0.940943 | + | 0.0771142i | ||||
\(67\) | 1.19291 | − | 11.3498i | 0.145738 | − | 1.38660i | −0.640158 | − | 0.768243i | \(-0.721131\pi\) |
0.785896 | − | 0.618358i | \(-0.212202\pi\) | |||||||
\(68\) | 0.0207927 | + | 0.0360141i | 0.00252149 | + | 0.00436735i | ||||
\(69\) | −4.44786 | + | 10.6407i | −0.535460 | + | 1.28099i | ||||
\(70\) | 1.00422 | + | 15.6385i | 0.120027 | + | 1.86916i | ||||
\(71\) | 13.0547 | − | 9.48483i | 1.54931 | − | 1.12564i | 0.605175 | − | 0.796092i | \(-0.293103\pi\) |
0.944138 | − | 0.329550i | \(-0.106897\pi\) | |||||||
\(72\) | −8.50590 | + | 0.390666i | −1.00243 | + | 0.0460404i | ||||
\(73\) | −2.03962 | − | 6.27730i | −0.238719 | − | 0.734703i | −0.996606 | − | 0.0823167i | \(-0.973768\pi\) |
0.757887 | − | 0.652386i | \(-0.226232\pi\) | |||||||
\(74\) | 3.42837 | − | 5.93811i | 0.398540 | − | 0.690291i | ||||
\(75\) | −3.05598 | − | 8.10315i | −0.352874 | − | 0.935671i | ||||
\(76\) | 0.0131507 | + | 0.0227777i | 0.00150849 | + | 0.00261278i | ||||
\(77\) | −10.4563 | + | 11.6129i | −1.19161 | + | 1.32341i | ||||
\(78\) | −3.40658 | + | 1.19396i | −0.385720 | + | 0.135189i | ||||
\(79\) | −0.847007 | − | 8.05873i | −0.0952957 | − | 0.906678i | −0.932836 | − | 0.360302i | \(-0.882674\pi\) |
0.837540 | − | 0.546376i | \(-0.183993\pi\) | |||||||
\(80\) | −8.87358 | − | 0.360405i | −0.992097 | − | 0.0402944i | ||||
\(81\) | 1.98484 | − | 8.77841i | 0.220538 | − | 0.975378i | ||||
\(82\) | 3.44328 | 0.380247 | ||||||||
\(83\) | −8.79712 | + | 3.91673i | −0.965609 | + | 0.429917i | −0.828098 | − | 0.560583i | \(-0.810577\pi\) |
−0.137511 | + | 0.990500i | \(0.543910\pi\) | |||||||
\(84\) | 0.0689762 | − | 0.0996694i | 0.00752592 | − | 0.0108748i | ||||
\(85\) | −6.51407 | + | 1.11045i | −0.706550 | + | 0.120445i | ||||
\(86\) | −3.62460 | + | 4.02553i | −0.390851 | + | 0.434084i | ||||
\(87\) | 3.02720 | + | 6.39979i | 0.324549 | + | 0.686130i | ||||
\(88\) | −5.96780 | − | 6.62791i | −0.636169 | − | 0.706537i | ||||
\(89\) | 0.845142 | + | 2.60108i | 0.0895849 | + | 0.275714i | 0.985805 | − | 0.167896i | \(-0.0536974\pi\) |
−0.896220 | + | 0.443610i | \(0.853697\pi\) | |||||||
\(90\) | 2.87354 | − | 9.00608i | 0.302898 | − | 0.949325i | ||||
\(91\) | 2.27269 | − | 6.99461i | 0.238242 | − | 0.733234i | ||||
\(92\) | 0.0855977 | − | 0.0381106i | 0.00892418 | − | 0.00397330i | ||||
\(93\) | 2.59889 | + | 10.9814i | 0.269492 | + | 1.13871i | ||||
\(94\) | 0.246921 | − | 2.34930i | 0.0254680 | − | 0.242312i | ||||
\(95\) | −4.11994 | + | 0.702323i | −0.422697 | + | 0.0720569i | ||||
\(96\) | 0.104550 | + | 0.0898801i | 0.0106706 | + | 0.00917335i | ||||
\(97\) | 1.02725 | + | 9.77359i | 0.104301 | + | 0.992358i | 0.914056 | + | 0.405589i | \(0.132934\pi\) |
−0.809755 | + | 0.586769i | \(0.800400\pi\) | |||||||
\(98\) | −7.72146 | − | 23.7642i | −0.779985 | − | 2.40055i | ||||
\(99\) | 8.42689 | − | 4.22533i | 0.846934 | − | 0.424662i | ||||
\(100\) | −0.0270974 | + | 0.0649324i | −0.00270974 | + | 0.00649324i | ||||
\(101\) | −3.76987 | + | 6.52961i | −0.375116 | + | 0.649720i | −0.990344 | − | 0.138629i | \(-0.955731\pi\) |
0.615228 | + | 0.788349i | \(0.289064\pi\) | |||||||
\(102\) | −6.32795 | − | 3.46232i | −0.626561 | − | 0.342821i | ||||
\(103\) | 0.282302 | + | 0.125689i | 0.0278161 | + | 0.0123845i | 0.420598 | − | 0.907247i | \(-0.361820\pi\) |
−0.392781 | + | 0.919632i | \(0.628487\pi\) | |||||||
\(104\) | 3.83462 | + | 1.70728i | 0.376016 | + | 0.167413i | ||||
\(105\) | 11.0443 | + | 15.7794i | 1.07782 | + | 1.53991i | ||||
\(106\) | 0.363303 | − | 0.161753i | 0.0352871 | − | 0.0157108i | ||||
\(107\) | 10.6092 | 1.02563 | 0.512814 | − | 0.858500i | \(-0.328603\pi\) | ||||
0.512814 | + | 0.858500i | \(0.328603\pi\) | |||||||
\(108\) | −0.0606587 | + | 0.0408294i | −0.00583689 | + | 0.00392881i | ||||
\(109\) | 2.72546 | − | 8.38810i | 0.261052 | − | 0.803434i | −0.731525 | − | 0.681814i | \(-0.761191\pi\) |
0.992577 | − | 0.121620i | \(-0.0388088\pi\) | |||||||
\(110\) | 9.20171 | − | 3.65700i | 0.877349 | − | 0.348682i | ||||
\(111\) | −0.193379 | − | 8.42524i | −0.0183547 | − | 0.799688i | ||||
\(112\) | 19.3196 | − | 4.10651i | 1.82553 | − | 0.388028i | ||||
\(113\) | 8.58747 | − | 1.82532i | 0.807841 | − | 0.171712i | 0.214564 | − | 0.976710i | \(-0.431167\pi\) |
0.593277 | + | 0.804998i | \(0.297834\pi\) | |||||||
\(114\) | −4.00223 | − | 2.18981i | −0.374843 | − | 0.205094i | ||||
\(115\) | 0.954121 | + | 14.8583i | 0.0889723 | + | 1.38554i | ||||
\(116\) | 0.0177741 | − | 0.0547029i | 0.00165028 | − | 0.00507904i | ||||
\(117\) | −2.81431 | + | 3.42982i | −0.260183 | + | 0.317087i | ||||
\(118\) | 4.26294 | 0.392436 | ||||||||
\(119\) | 13.4258 | − | 5.97754i | 1.23074 | − | 0.547960i | ||||
\(120\) | −9.61541 | + | 5.32750i | −0.877763 | + | 0.486332i | ||||
\(121\) | −1.02866 | − | 0.457990i | −0.0935148 | − | 0.0416355i | ||||
\(122\) | 9.98685 | + | 4.44643i | 0.904167 | + | 0.402561i | ||||
\(123\) | 3.61555 | − | 2.19957i | 0.326003 | − | 0.198329i | ||||
\(124\) | 0.0458410 | − | 0.0793989i | 0.00411664 | − | 0.00713023i | ||||
\(125\) | −8.17978 | − | 7.62175i | −0.731622 | − | 0.681710i | ||||
\(126\) | −1.23601 | + | 20.9881i | −0.110113 | + | 1.86977i | ||||
\(127\) | 2.46680 | + | 7.59204i | 0.218894 | + | 0.673685i | 0.998854 | + | 0.0478565i | \(0.0152390\pi\) |
−0.779961 | + | 0.625829i | \(0.784761\pi\) | |||||||
\(128\) | 1.16997 | + | 11.1315i | 0.103412 | + | 0.983897i | ||||
\(129\) | −1.23443 | + | 6.54232i | −0.108685 | + | 0.576019i | ||||
\(130\) | −3.25624 | + | 3.33379i | −0.285591 | + | 0.292393i | ||||
\(131\) | −1.14556 | + | 10.8993i | −0.100088 | + | 0.952277i | 0.823091 | + | 0.567909i | \(0.192247\pi\) |
−0.923180 | + | 0.384368i | \(0.874419\pi\) | |||||||
\(132\) | −0.0733634 | − | 0.0219894i | −0.00638547 | − | 0.00191393i | ||||
\(133\) | 8.49137 | − | 3.78060i | 0.736295 | − | 0.327820i | ||||
\(134\) | 4.96980 | − | 15.2955i | 0.429325 | − | 1.32133i | ||||
\(135\) | −2.73579 | − | 11.2923i | −0.235459 | − | 0.971884i | ||||
\(136\) | 2.59195 | + | 7.97720i | 0.222258 | + | 0.684039i | ||||
\(137\) | −4.60452 | − | 5.11383i | −0.393390 | − | 0.436904i | 0.513617 | − | 0.858020i | \(-0.328305\pi\) |
−0.907007 | + | 0.421115i | \(0.861639\pi\) | |||||||
\(138\) | −9.24876 | + | 13.3643i | −0.787307 | + | 1.13764i | ||||
\(139\) | 5.05979 | − | 5.61946i | 0.429166 | − | 0.476637i | −0.489313 | − | 0.872109i | \(-0.662752\pi\) |
0.918478 | + | 0.395472i | \(0.129419\pi\) | |||||||
\(140\) | 0.0226587 | − | 0.154831i | 0.00191501 | − | 0.0130856i | ||||
\(141\) | −1.24146 | − | 2.62457i | −0.104550 | − | 0.221028i | ||||
\(142\) | 20.7741 | − | 9.24924i | 1.74333 | − | 0.776179i | ||||
\(143\) | −4.64710 | −0.388610 | ||||||||
\(144\) | −11.7560 | − | 1.93994i | −0.979666 | − | 0.161661i | ||||
\(145\) | 7.17012 | + | 5.66787i | 0.595446 | + | 0.470691i | ||||
\(146\) | −0.972262 | − | 9.25045i | −0.0804649 | − | 0.765573i | ||||
\(147\) | −23.2884 | − | 20.0207i | −1.92079 | − | 1.65128i | ||||
\(148\) | −0.0458143 | + | 0.0508819i | −0.00376591 | + | 0.00418247i | ||||
\(149\) | 7.49125 | + | 12.9752i | 0.613707 | + | 1.06297i | 0.990610 | + | 0.136719i | \(0.0436558\pi\) |
−0.376903 | + | 0.926253i | \(0.623011\pi\) | |||||||
\(150\) | −1.83828 | − | 12.0650i | −0.150095 | − | 0.985107i | ||||
\(151\) | 2.80456 | − | 4.85765i | 0.228232 | − | 0.395310i | −0.729052 | − | 0.684458i | \(-0.760039\pi\) |
0.957284 | + | 0.289149i | \(0.0933722\pi\) | |||||||
\(152\) | 1.63932 | + | 5.04532i | 0.132967 | + | 0.409230i | ||||
\(153\) | −8.85628 | + | 0.406758i | −0.715987 | + | 0.0328845i | ||||
\(154\) | −17.8159 | + | 12.9440i | −1.43564 | + | 1.04306i | ||||
\(155\) | 9.30084 | + | 11.2132i | 0.747061 | + | 0.900665i | ||||
\(156\) | 0.0357521 | − | 0.00458936i | 0.00286246 | − | 0.000367443i | ||||
\(157\) | 7.68556 | + | 13.3118i | 0.613374 | + | 1.06240i | 0.990667 | + | 0.136302i | \(0.0435216\pi\) |
−0.377293 | + | 0.926094i | \(0.623145\pi\) | |||||||
\(158\) | 1.19363 | − | 11.3566i | 0.0949599 | − | 0.903483i | ||||
\(159\) | 0.278151 | − | 0.401923i | 0.0220588 | − | 0.0318746i | ||||
\(160\) | 0.172459 | + | 0.0440421i | 0.0136341 | + | 0.00348183i | ||||
\(161\) | −10.2325 | − | 31.4924i | −0.806434 | − | 2.48195i | ||||
\(162\) | 5.30801 | − | 11.5189i | 0.417036 | − | 0.905011i | ||||
\(163\) | −6.69457 | + | 20.6038i | −0.524359 | + | 1.61381i | 0.241221 | + | 0.970470i | \(0.422452\pi\) |
−0.765580 | + | 0.643341i | \(0.777548\pi\) | |||||||
\(164\) | −0.0336317 | − | 0.00714865i | −0.00262620 | − | 0.000558215i | ||||
\(165\) | 7.32597 | − | 9.71802i | 0.570326 | − | 0.756547i | ||||
\(166\) | −13.2738 | + | 2.82144i | −1.03025 | + | 0.218986i | ||||
\(167\) | 1.72511 | − | 16.4133i | 0.133493 | − | 1.27010i | −0.698620 | − | 0.715493i | \(-0.746202\pi\) |
0.832113 | − | 0.554607i | \(-0.187131\pi\) | |||||||
\(168\) | 17.7881 | − | 16.7713i | 1.37238 | − | 1.29394i | ||||
\(169\) | −9.87806 | + | 4.39800i | −0.759851 | + | 0.338307i | ||||
\(170\) | −9.30457 | − | 0.377909i | −0.713628 | − | 0.0289843i | ||||
\(171\) | −5.60131 | + | 0.257262i | −0.428343 | + | 0.0196733i | ||||
\(172\) | 0.0437602 | − | 0.0317936i | 0.00333668 | − | 0.00242424i | ||||
\(173\) | −11.8161 | − | 2.51159i | −0.898360 | − | 0.190952i | −0.264487 | − | 0.964389i | \(-0.585203\pi\) |
−0.633873 | + | 0.773437i | \(0.718536\pi\) | |||||||
\(174\) | 2.29768 | + | 9.70865i | 0.174187 | + | 0.736011i | ||||
\(175\) | 21.8205 | + | 11.9224i | 1.64947 | + | 0.901251i | ||||
\(176\) | −6.24005 | − | 10.8081i | −0.470362 | − | 0.814690i | ||||
\(177\) | 4.47622 | − | 2.72317i | 0.336453 | − | 0.204686i | ||||
\(178\) | 0.402869 | + | 3.83304i | 0.0301963 | + | 0.287299i | ||||
\(179\) | −10.7597 | + | 7.81740i | −0.804220 | + | 0.584300i | −0.912149 | − | 0.409859i | \(-0.865578\pi\) |
0.107929 | + | 0.994159i | \(0.465578\pi\) | |||||||
\(180\) | −0.0467645 | + | 0.0819997i | −0.00348562 | + | 0.00611190i | ||||
\(181\) | −16.9365 | − | 12.3051i | −1.25888 | − | 0.914629i | −0.260176 | − | 0.965561i | \(-0.583781\pi\) |
−0.998702 | + | 0.0509324i | \(0.983781\pi\) | |||||||
\(182\) | 5.18214 | − | 8.97573i | 0.384126 | − | 0.665325i | ||||
\(183\) | 13.3269 | − | 1.71072i | 0.985151 | − | 0.126460i | ||||
\(184\) | 18.4858 | − | 3.92929i | 1.36279 | − | 0.289671i | ||||
\(185\) | −5.05305 | − | 9.63518i | −0.371507 | − | 0.708393i | ||||
\(186\) | 0.364909 | + | 15.8986i | 0.0267564 | + | 1.16574i | ||||
\(187\) | −6.21362 | − | 6.90092i | −0.454385 | − | 0.504646i | ||||
\(188\) | −0.00728918 | + | 0.0224338i | −0.000531618 | + | 0.00163615i | ||||
\(189\) | 12.1094 | + | 22.8277i | 0.880826 | + | 1.66047i | ||||
\(190\) | −5.88484 | − | 0.239016i | −0.426931 | − | 0.0173400i | ||||
\(191\) | −3.24560 | − | 3.60461i | −0.234844 | − | 0.260820i | 0.614191 | − | 0.789157i | \(-0.289482\pi\) |
−0.849035 | + | 0.528337i | \(0.822816\pi\) | |||||||
\(192\) | 8.45794 | + | 11.0967i | 0.610399 | + | 0.800833i | ||||
\(193\) | 1.77174 | + | 3.06874i | 0.127533 | + | 0.220893i | 0.922720 | − | 0.385471i | \(-0.125961\pi\) |
−0.795187 | + | 0.606364i | \(0.792628\pi\) | |||||||
\(194\) | −1.44762 | + | 13.7732i | −0.103933 | + | 0.988860i | ||||
\(195\) | −1.28952 | + | 5.58067i | −0.0923447 | + | 0.399640i | ||||
\(196\) | 0.0260810 | + | 0.248144i | 0.00186293 | + | 0.0177246i | ||||
\(197\) | −17.3425 | + | 12.6000i | −1.23560 | + | 0.897715i | −0.997297 | − | 0.0734759i | \(-0.976591\pi\) |
−0.238302 | + | 0.971191i | \(0.576591\pi\) | |||||||
\(198\) | 12.8539 | − | 3.35531i | 0.913488 | − | 0.238451i | ||||
\(199\) | 18.9405 | 1.34265 | 0.671327 | − | 0.741162i | \(-0.265725\pi\) | ||||
0.671327 | + | 0.741162i | \(0.265725\pi\) | |||||||
\(200\) | −8.06905 | + | 11.6742i | −0.570568 | + | 0.825493i | ||||
\(201\) | −4.55232 | − | 19.2354i | −0.321096 | − | 1.35676i | ||||
\(202\) | −7.10967 | + | 7.89608i | −0.500234 | + | 0.555566i | ||||
\(203\) | −18.5696 | − | 8.26771i | −1.30333 | − | 0.580279i | ||||
\(204\) | 0.0546191 | + | 0.0469553i | 0.00382410 | + | 0.00328753i | ||||
\(205\) | 2.92155 | − | 4.61683i | 0.204050 | − | 0.322453i | ||||
\(206\) | 0.352309 | + | 0.255967i | 0.0245465 | + | 0.0178341i | ||||
\(207\) | −1.17435 | + | 19.9410i | −0.0816229 | + | 1.38600i | ||||
\(208\) | 4.75188 | + | 3.45244i | 0.329483 | + | 0.239384i | ||||
\(209\) | −3.92991 | − | 4.36461i | −0.271838 | − | 0.301907i | ||||
\(210\) | 10.6006 | + | 24.9868i | 0.731512 | + | 1.72425i | ||||
\(211\) | −15.1945 | + | 16.8753i | −1.04604 | + | 1.16174i | −0.0594945 | + | 0.998229i | \(0.518949\pi\) |
−0.986541 | + | 0.163512i | \(0.947718\pi\) | |||||||
\(212\) | −0.00388432 | 0.000825637i | −0.000266776 | 5.67050e-5i | ||||||
\(213\) | 15.9050 | − | 22.9825i | 1.08979 | − | 1.57473i | ||||
\(214\) | 14.6241 | + | 3.10844i | 0.999680 | + | 0.212489i | ||||
\(215\) | 2.32212 | + | 8.27551i | 0.158367 | + | 0.564385i | ||||
\(216\) | −13.6796 | + | 5.51152i | −0.930780 | + | 0.375012i | ||||
\(217\) | −26.2125 | − | 19.0445i | −1.77942 | − | 1.29283i | ||||
\(218\) | 6.21454 | − | 10.7639i | 0.420902 | − | 0.729023i | ||||
\(219\) | −6.93010 | − | 9.09217i | −0.468293 | − | 0.614392i | ||||
\(220\) | −0.0974686 | + | 0.0166154i | −0.00657133 | + | 0.00112021i | ||||
\(221\) | 3.99258 | + | 1.77761i | 0.268570 | + | 0.119575i | ||||
\(222\) | 2.20200 | − | 11.6703i | 0.147788 | − | 0.783259i | ||||
\(223\) | −21.0904 | − | 4.48289i | −1.41231 | − | 0.300197i | −0.562290 | − | 0.826940i | \(-0.690080\pi\) |
−0.850024 | + | 0.526743i | \(0.823413\pi\) | |||||||
\(224\) | −0.395861 | −0.0264496 | ||||||||
\(225\) | −9.63741 | − | 11.4944i | −0.642494 | − | 0.766291i | ||||
\(226\) | 12.3721 | 0.822978 | ||||||||
\(227\) | 2.12348 | + | 0.451359i | 0.140940 | + | 0.0299578i | 0.277842 | − | 0.960627i | \(-0.410381\pi\) |
−0.136901 | + | 0.990585i | \(0.543714\pi\) | |||||||
\(228\) | 0.0345449 | + | 0.0296977i | 0.00228779 | + | 0.00196678i | ||||
\(229\) | −17.6347 | − | 7.85147i | −1.16533 | − | 0.518840i | −0.269400 | − | 0.963028i | \(-0.586825\pi\) |
−0.895933 | + | 0.444189i | \(0.853492\pi\) | |||||||
\(230\) | −3.03822 | + | 20.7608i | −0.200334 | + | 1.36892i | ||||
\(231\) | −10.4386 | + | 24.9724i | −0.686808 | + | 1.64306i | ||||
\(232\) | 5.80065 | − | 10.0470i | 0.380832 | − | 0.659620i | ||||
\(233\) | 21.4951 | + | 15.6171i | 1.40819 | + | 1.02311i | 0.993583 | + | 0.113108i | \(0.0360805\pi\) |
0.414606 | + | 0.910001i | \(0.363920\pi\) | |||||||
\(234\) | −4.88427 | + | 3.90320i | −0.319294 | + | 0.255160i | ||||
\(235\) | −2.94048 | − | 2.32440i | −0.191816 | − | 0.151627i | ||||
\(236\) | −0.0416377 | − | 0.00885036i | −0.00271038 | − | 0.000576109i | ||||
\(237\) | −6.00126 | − | 12.6873i | −0.389824 | − | 0.824126i | ||||
\(238\) | 20.2579 | − | 4.30596i | 1.31313 | − | 0.279114i | ||||
\(239\) | −4.94130 | + | 5.48787i | −0.319626 | + | 0.354981i | −0.881451 | − | 0.472275i | \(-0.843433\pi\) |
0.561825 | + | 0.827256i | \(0.310099\pi\) | |||||||
\(240\) | −14.7109 | + | 4.49449i | −0.949584 | + | 0.290118i | ||||
\(241\) | −9.43354 | − | 10.4770i | −0.607668 | − | 0.674883i | 0.358282 | − | 0.933613i | \(-0.383363\pi\) |
−0.965950 | + | 0.258730i | \(0.916696\pi\) | |||||||
\(242\) | −1.28376 | − | 0.932703i | −0.0825229 | − | 0.0599564i | ||||
\(243\) | −1.78472 | − | 15.4860i | −0.114490 | − | 0.993424i | ||||
\(244\) | −0.0883137 | − | 0.0641637i | −0.00565371 | − | 0.00410766i | ||||
\(245\) | −38.4150 | − | 9.81031i | −2.45425 | − | 0.626757i | ||||
\(246\) | 5.62826 | − | 1.97263i | 0.358845 | − | 0.125770i | ||||
\(247\) | 2.52518 | + | 1.12428i | 0.160673 | + | 0.0715363i | ||||
\(248\) | 12.3736 | − | 13.7423i | 0.785727 | − | 0.872638i | ||||
\(249\) | −12.1356 | + | 11.4419i | −0.769061 | + | 0.725103i | ||||
\(250\) | −9.04216 | − | 12.9027i | −0.571876 | − | 0.816040i | ||||
\(251\) | 23.6990 | 1.49587 | 0.747934 | − | 0.663773i | \(-0.231046\pi\) | ||||
0.747934 | + | 0.663773i | \(0.231046\pi\) | |||||||
\(252\) | 0.0556462 | − | 0.202432i | 0.00350538 | − | 0.0127520i | ||||
\(253\) | −16.9271 | + | 12.2982i | −1.06420 | + | 0.773184i | ||||
\(254\) | 1.17590 | + | 11.1879i | 0.0737822 | + | 0.701991i | ||||
\(255\) | −10.0115 | + | 5.54695i | −0.626943 | + | 0.347363i | ||||
\(256\) | 0.0353003 | − | 0.335860i | 0.00220627 | − | 0.0209912i | ||||
\(257\) | −3.54893 | − | 6.14694i | −0.221376 | − | 0.383435i | 0.733850 | − | 0.679312i | \(-0.237722\pi\) |
−0.955226 | + | 0.295877i | \(0.904388\pi\) | |||||||
\(258\) | −3.61845 | + | 8.65648i | −0.225275 | + | 0.538929i | ||||
\(259\) | 16.1908 | + | 17.9817i | 1.00605 | + | 1.11733i | ||||
\(260\) | 0.0387261 | − | 0.0258019i | 0.00240169 | − | 0.00160017i | ||||
\(261\) | 8.61452 | + | 8.72661i | 0.533226 | + | 0.540163i | ||||
\(262\) | −4.77253 | + | 14.6883i | −0.294848 | + | 0.907449i | ||||
\(263\) | 9.89329 | + | 10.9876i | 0.610047 | + | 0.677525i | 0.966464 | − | 0.256801i | \(-0.0826686\pi\) |
−0.356418 | + | 0.934327i | \(0.616002\pi\) | |||||||
\(264\) | −13.5518 | − | 7.41484i | −0.834056 | − | 0.456352i | ||||
\(265\) | 0.0913727 | − | 0.624367i | 0.00561298 | − | 0.0383546i | ||||
\(266\) | 12.8125 | − | 2.72338i | 0.785584 | − | 0.166981i | ||||
\(267\) | 2.87157 | + | 3.76746i | 0.175737 | + | 0.230565i | ||||
\(268\) | −0.0802969 | + | 0.139078i | −0.00490491 | + | 0.00849556i | ||||
\(269\) | 5.30527 | + | 3.85450i | 0.323468 | + | 0.235013i | 0.737654 | − | 0.675179i | \(-0.235934\pi\) |
−0.414186 | + | 0.910192i | \(0.635934\pi\) | |||||||
\(270\) | −0.462525 | − | 16.3672i | −0.0281484 | − | 0.996078i | ||||
\(271\) | −4.15808 | + | 3.02102i | −0.252585 | + | 0.183514i | −0.706872 | − | 0.707342i | \(-0.749894\pi\) |
0.454286 | + | 0.890856i | \(0.349894\pi\) | |||||||
\(272\) | 1.22686 | + | 11.6728i | 0.0743891 | + | 0.707765i | ||||
\(273\) | −0.292301 | − | 12.7351i | −0.0176908 | − | 0.770765i | ||||
\(274\) | −4.84870 | − | 8.39819i | −0.292920 | − | 0.507353i | ||||
\(275\) | 2.90406 | − | 15.4407i | 0.175121 | − | 0.931111i | ||||
\(276\) | 0.118082 | − | 0.111332i | 0.00710768 | − | 0.00670141i | ||||
\(277\) | 5.58097 | + | 1.18627i | 0.335328 | + | 0.0712762i | 0.372499 | − | 0.928033i | \(-0.378501\pi\) |
−0.0371705 | + | 0.999309i | \(0.511834\pi\) | |||||||
\(278\) | 8.62106 | − | 6.26357i | 0.517057 | − | 0.375664i | ||||
\(279\) | 10.5392 | + | 16.4609i | 0.630964 | + | 0.985486i | ||||
\(280\) | 10.9633 | − | 29.5966i | 0.655182 | − | 1.76874i | ||||
\(281\) | 4.74099 | − | 2.11083i | 0.282824 | − | 0.125921i | −0.260422 | − | 0.965495i | \(-0.583862\pi\) |
0.543246 | + | 0.839574i | \(0.317195\pi\) | |||||||
\(282\) | −0.942284 | − | 3.98154i | −0.0561122 | − | 0.237097i | ||||
\(283\) | −0.634300 | + | 6.03496i | −0.0377052 | + | 0.358741i | 0.959360 | + | 0.282185i | \(0.0910592\pi\) |
−0.997065 | + | 0.0765564i | \(0.975607\pi\) | |||||||
\(284\) | −0.222111 | + | 0.0472110i | −0.0131798 | + | 0.00280146i | ||||
\(285\) | −6.33194 | + | 3.50827i | −0.375072 | + | 0.207812i | ||||
\(286\) | −6.40572 | − | 1.36158i | −0.378778 | − | 0.0805118i | ||||
\(287\) | −3.75487 | + | 11.5563i | −0.221643 | + | 0.682147i | ||||
\(288\) | 0.222385 | + | 0.0870189i | 0.0131042 | + | 0.00512764i | ||||
\(289\) | −2.55457 | − | 7.86216i | −0.150269 | − | 0.462480i | ||||
\(290\) | 8.22288 | + | 9.91360i | 0.482864 | + | 0.582146i | ||||
\(291\) | 7.27830 | + | 15.3870i | 0.426661 | + | 0.902005i | ||||
\(292\) | −0.00970857 | + | 0.0923709i | −0.000568151 | + | 0.00540560i | ||||
\(293\) | −2.94596 | − | 5.10256i | −0.172105 | − | 0.298094i | 0.767051 | − | 0.641587i | \(-0.221723\pi\) |
−0.939156 | + | 0.343492i | \(0.888390\pi\) | |||||||
\(294\) | −26.2355 | − | 34.4205i | −1.53009 | − | 2.00745i | ||||
\(295\) | 3.61701 | − | 5.71584i | 0.210591 | − | 0.332789i | ||||
\(296\) | −11.1725 | + | 8.11730i | −0.649388 | + | 0.471808i | ||||
\(297\) | 11.3536 | − | 11.7343i | 0.658804 | − | 0.680891i | ||||
\(298\) | 6.52452 | + | 20.0804i | 0.377955 | + | 1.16323i | ||||
\(299\) | 4.92361 | − | 8.52794i | 0.284740 | − | 0.493184i | ||||
\(300\) | −0.00709325 | + | 0.121660i | −0.000409529 | + | 0.00702404i | ||||
\(301\) | −9.55782 | − | 16.5546i | −0.550904 | − | 0.954193i | ||||
\(302\) | 5.28917 | − | 5.87422i | 0.304358 | − | 0.338024i | ||||
\(303\) | −2.42134 | + | 12.8328i | −0.139102 | + | 0.737224i | ||||
\(304\) | 0.775948 | + | 7.38265i | 0.0445036 | + | 0.423424i | ||||
\(305\) | 14.4355 | − | 9.61788i | 0.826574 | − | 0.550718i | ||||
\(306\) | −12.3270 | − | 2.03416i | −0.704686 | − | 0.116285i | ||||
\(307\) | −31.9044 | −1.82088 | −0.910439 | − | 0.413643i | \(-0.864256\pi\) | ||||
−0.910439 | + | 0.413643i | \(0.864256\pi\) | |||||||
\(308\) | 0.200887 | − | 0.0894407i | 0.0114466 | − | 0.00509636i | ||||
\(309\) | 0.533447 | + | 0.0437182i | 0.0303467 | + | 0.00248704i | ||||
\(310\) | 9.53518 | + | 18.1817i | 0.541562 | + | 1.03265i | ||||
\(311\) | −10.7404 | + | 11.9285i | −0.609035 | + | 0.676402i | −0.966246 | − | 0.257622i | \(-0.917061\pi\) |
0.357211 | + | 0.934024i | \(0.383728\pi\) | |||||||
\(312\) | 7.24602 | + | 0.593842i | 0.410225 | + | 0.0336197i | ||||
\(313\) | −2.98176 | − | 3.31158i | −0.168539 | − | 0.187181i | 0.652958 | − | 0.757394i | \(-0.273528\pi\) |
−0.821497 | + | 0.570212i | \(0.806861\pi\) | |||||||
\(314\) | 6.69375 | + | 20.6012i | 0.377750 | + | 1.16260i | ||||
\(315\) | 27.0925 | + | 19.4652i | 1.52649 | + | 1.09674i | ||||
\(316\) | −0.0352362 | + | 0.108446i | −0.00198219 | + | 0.00610055i | ||||
\(317\) | 13.3281 | − | 5.93403i | 0.748578 | − | 0.333288i | 0.00325753 | − | 0.999995i | \(-0.498963\pi\) |
0.745321 | + | 0.666706i | \(0.232296\pi\) | |||||||
\(318\) | 0.501174 | − | 0.472528i | 0.0281045 | − | 0.0264980i | ||||
\(319\) | −1.34255 | + | 12.7735i | −0.0751685 | + | 0.715180i | ||||
\(320\) | 16.1445 | + | 7.98815i | 0.902504 | + | 0.446551i | ||||
\(321\) | 17.3414 | − | 6.07791i | 0.967901 | − | 0.339236i | ||||
\(322\) | −4.87771 | − | 46.4083i | −0.271824 | − | 2.58623i | ||||
\(323\) | 1.70685 | + | 5.25315i | 0.0949718 | + | 0.292293i | ||||
\(324\) | −0.0757597 | + | 0.101489i | −0.00420887 | + | 0.00563828i | ||||
\(325\) | 1.70716 | + | 7.19468i | 0.0946965 | + | 0.399089i | ||||
\(326\) | −15.2648 | + | 26.4395i | −0.845440 | + | 1.46435i | ||||
\(327\) | −0.350534 | − | 15.2723i | −0.0193846 | − | 0.844558i | ||||
\(328\) | −6.33546 | − | 2.82073i | −0.349817 | − | 0.155749i | ||||
\(329\) | 7.61542 | + | 3.39060i | 0.419852 | + | 0.186930i | ||||
\(330\) | 12.9457 | − | 11.2492i | 0.712638 | − | 0.619247i | ||||
\(331\) | 21.5518 | − | 9.59549i | 1.18459 | − | 0.527416i | 0.282632 | − | 0.959228i | \(-0.408793\pi\) |
0.901963 | + | 0.431813i | \(0.142126\pi\) | |||||||
\(332\) | 0.135508 | 0.00743696 | ||||||||
\(333\) | −5.14283 | − | 13.6608i | −0.281826 | − | 0.748607i | ||||
\(334\) | 7.18697 | − | 22.1192i | 0.393253 | − | 1.21031i | ||||
\(335\) | −16.2917 | − | 19.6415i | −0.890112 | − | 1.07313i | ||||
\(336\) | 29.2265 | − | 17.7804i | 1.59444 | − | 0.969998i | ||||
\(337\) | 8.15060 | − | 1.73246i | 0.443991 | − | 0.0943733i | 0.0195094 | − | 0.999810i | \(-0.493790\pi\) |
0.424482 | + | 0.905436i | \(0.360456\pi\) | |||||||
\(338\) | −14.9049 | + | 3.16813i | −0.810717 | + | 0.172323i | ||||
\(339\) | 12.9910 | − | 7.90329i | 0.705577 | − | 0.429248i | ||||
\(340\) | 0.0900964 | + | 0.0230085i | 0.00488616 | + | 0.00124781i | ||||
\(341\) | −6.32643 | + | 19.4707i | −0.342595 | + | 1.05440i | ||||
\(342\) | −7.79642 | − | 1.28654i | −0.421582 | − | 0.0695681i | ||||
\(343\) | 53.3661 | 2.88150 | ||||||||
\(344\) | 9.96677 | − | 4.43749i | 0.537372 | − | 0.239253i | ||||
\(345\) | 10.0718 | + | 23.7402i | 0.542246 | + | 1.27813i | ||||
\(346\) | −15.5518 | − | 6.92411i | −0.836071 | − | 0.372243i | ||||
\(347\) | 13.7816 | + | 6.13595i | 0.739833 | + | 0.329395i | 0.741816 | − | 0.670603i | \(-0.233965\pi\) |
−0.00198319 | + | 0.999998i | \(0.500631\pi\) | |||||||
\(348\) | −0.00228600 | − | 0.0995979i | −0.000122543 | − | 0.00533901i | ||||
\(349\) | −3.03867 | + | 5.26314i | −0.162656 | + | 0.281729i | −0.935821 | − | 0.352477i | \(-0.885340\pi\) |
0.773164 | + | 0.634206i | \(0.218673\pi\) | |||||||
\(350\) | 26.5849 | + | 22.8276i | 1.42102 | + | 1.22019i | ||||
\(351\) | −2.63526 | + | 7.21855i | −0.140660 | + | 0.385298i | ||||
\(352\) | 0.0772947 | + | 0.237888i | 0.00411982 | + | 0.0126795i | ||||
\(353\) | 2.43564 | + | 23.1735i | 0.129636 | + | 1.23340i | 0.845044 | + | 0.534697i | \(0.179574\pi\) |
−0.715408 | + | 0.698707i | \(0.753759\pi\) | |||||||
\(354\) | 6.96805 | − | 2.44220i | 0.370348 | − | 0.129802i | ||||
\(355\) | 5.22481 | − | 35.7021i | 0.277304 | − | 1.89487i | ||||
\(356\) | 0.00402287 | − | 0.0382750i | 0.000213212 | − | 0.00202857i | ||||
\(357\) | 18.5208 | − | 17.4622i | 0.980224 | − | 0.924196i | ||||
\(358\) | −17.1220 | + | 7.62322i | −0.904928 | + | 0.402900i | ||||
\(359\) | 1.23779 | − | 3.80952i | 0.0653279 | − | 0.201059i | −0.913065 | − | 0.407815i | \(-0.866291\pi\) |
0.978392 | + | 0.206756i | \(0.0662908\pi\) | |||||||
\(360\) | −12.6649 | + | 14.2167i | −0.667499 | + | 0.749287i | ||||
\(361\) | −4.79179 | − | 14.7476i | −0.252200 | − | 0.776191i | ||||
\(362\) | −19.7405 | − | 21.9240i | −1.03754 | − | 1.15230i | ||||
\(363\) | −1.94379 | − | 0.159302i | −0.102023 | − | 0.00836119i | ||||
\(364\) | −0.0692504 | + | 0.0769103i | −0.00362970 | + | 0.00403120i | ||||
\(365\) | −13.2281 | − | 6.54517i | −0.692392 | − | 0.342590i | ||||
\(366\) | 18.8715 | + | 1.54660i | 0.986427 | + | 0.0808418i | ||||
\(367\) | −20.9787 | + | 9.34033i | −1.09508 | + | 0.487561i | −0.873125 | − | 0.487496i | \(-0.837910\pi\) |
−0.221955 | + | 0.975057i | \(0.571244\pi\) | |||||||
\(368\) | 26.4454 | 1.37856 | ||||||||
\(369\) | 4.64973 | − | 5.66665i | 0.242055 | − | 0.294994i | ||||
\(370\) | −4.14223 | − | 14.7620i | −0.215344 | − | 0.767439i | ||||
\(371\) | 0.146694 | + | 1.39570i | 0.00761598 | + | 0.0724612i | ||||
\(372\) | 0.0294430 | − | 0.156044i | 0.00152655 | − | 0.00809052i | ||||
\(373\) | 13.6711 | − | 15.1833i | 0.707864 | − | 0.786163i | −0.276743 | − | 0.960944i | \(-0.589255\pi\) |
0.984607 | + | 0.174781i | \(0.0559217\pi\) | |||||||
\(374\) | −6.54313 | − | 11.3330i | −0.338337 | − | 0.586017i | ||||
\(375\) | −17.7368 | − | 7.77211i | −0.915925 | − | 0.401350i | ||||
\(376\) | −2.37886 | + | 4.12031i | −0.122680 | + | 0.212489i | ||||
\(377\) | −1.86796 | − | 5.74900i | −0.0962050 | − | 0.296088i | ||||
\(378\) | 10.0035 | + | 35.0144i | 0.514527 | + | 1.80095i | ||||
\(379\) | 2.11954 | − | 1.53993i | 0.108873 | − | 0.0791011i | −0.532016 | − | 0.846734i | \(-0.678566\pi\) |
0.640890 | + | 0.767633i | \(0.278566\pi\) | |||||||
\(380\) | 0.0569831 | + | 0.0145521i | 0.00292317 | + | 0.000746509i | ||||
\(381\) | 8.38156 | + | 10.9965i | 0.429400 | + | 0.563366i | ||||
\(382\) | −3.41772 | − | 5.91966i | −0.174866 | − | 0.302876i | ||||
\(383\) | 1.15470 | − | 10.9862i | 0.0590023 | − | 0.561369i | −0.924590 | − | 0.380964i | \(-0.875592\pi\) |
0.983592 | − | 0.180405i | \(-0.0577410\pi\) | |||||||
\(384\) | 8.28954 | + | 17.5249i | 0.423024 | + | 0.894314i | ||||
\(385\) | 2.23920 | + | 34.8706i | 0.114120 | + | 1.77717i | ||||
\(386\) | 1.54310 | + | 4.74917i | 0.0785417 | + | 0.241727i | ||||
\(387\) | 1.73028 | + | 11.4010i | 0.0879553 | + | 0.579547i | ||||
\(388\) | 0.0427342 | − | 0.131522i | 0.00216950 | − | 0.00667704i | ||||
\(389\) | 12.2582 | + | 2.60556i | 0.621515 | + | 0.132107i | 0.507897 | − | 0.861418i | \(-0.330423\pi\) |
0.113617 | + | 0.993525i | \(0.463756\pi\) | |||||||
\(390\) | −3.41263 | + | 7.31476i | −0.172805 | + | 0.370397i | ||||
\(391\) | 19.2473 | − | 4.09114i | 0.973378 | − | 0.206898i | ||||
\(392\) | −5.26050 | + | 50.0503i | −0.265695 | + | 2.52792i | ||||
\(393\) | 4.37162 | + | 18.4719i | 0.220519 | + | 0.931784i | ||||
\(394\) | −27.5972 | + | 12.2871i | −1.39033 | + | 0.619013i | ||||
\(395\) | −14.2144 | − | 11.2363i | −0.715204 | − | 0.565358i | ||||
\(396\) | −0.132515 | + | 0.00608624i | −0.00665911 | + | 0.000305845i | ||||
\(397\) | 25.5180 | − | 18.5399i | 1.28071 | − | 0.930493i | 0.281140 | − | 0.959667i | \(-0.409288\pi\) |
0.999574 | + | 0.0291737i | \(0.00928761\pi\) | |||||||
\(398\) | 26.1082 | + | 5.54946i | 1.30868 | + | 0.278170i | ||||
\(399\) | 11.7138 | − | 11.0443i | 0.586424 | − | 0.552905i | ||||
\(400\) | −14.4408 | + | 13.6314i | −0.722041 | + | 0.681569i | ||||
\(401\) | 4.83754 | + | 8.37886i | 0.241575 | + | 0.418420i | 0.961163 | − | 0.275981i | \(-0.0890026\pi\) |
−0.719588 | + | 0.694401i | \(0.755669\pi\) | |||||||
\(402\) | −0.639189 | − | 27.8486i | −0.0318798 | − | 1.38896i | ||||
\(403\) | −1.00716 | − | 9.58252i | −0.0501704 | − | 0.477339i | ||||
\(404\) | 0.0858357 | − | 0.0623633i | 0.00427049 | − | 0.00310269i | ||||
\(405\) | −10.9411 | − | 16.8906i | −0.543666 | − | 0.839302i | ||||
\(406\) | −23.1745 | − | 16.8373i | −1.15013 | − | 0.835621i | ||||
\(407\) | 7.64456 | − | 13.2408i | 0.378927 | − | 0.656320i | ||||
\(408\) | 8.80677 | + | 11.5543i | 0.436000 | + | 0.572025i | ||||
\(409\) | −10.5677 | + | 2.24623i | −0.522539 | + | 0.111069i | −0.461627 | − | 0.887074i | \(-0.652734\pi\) |
−0.0609119 | + | 0.998143i | \(0.519401\pi\) | |||||||
\(410\) | 5.37987 | − | 5.50799i | 0.265693 | − | 0.272020i | ||||
\(411\) | −10.4560 | − | 5.72100i | −0.515759 | − | 0.282196i | ||||
\(412\) | −0.00290970 | − | 0.00323155i | −0.000143351 | − | 0.000159207i | ||||
\(413\) | −4.64870 | + | 14.3072i | −0.228748 | + | 0.704013i | ||||
\(414\) | −7.46139 | + | 27.1433i | −0.366707 | + | 1.33402i | ||||
\(415\) | −7.47951 | + | 20.1918i | −0.367154 | + | 0.991175i | ||||
\(416\) | −0.0787712 | − | 0.0874842i | −0.00386207 | − | 0.00428927i | ||||
\(417\) | 5.05120 | − | 12.0841i | 0.247358 | − | 0.591760i | ||||
\(418\) | −4.13832 | − | 7.16778i | −0.202412 | − | 0.350588i | ||||
\(419\) | 4.02027 | − | 38.2503i | 0.196403 | − | 1.86865i | −0.242551 | − | 0.970139i | \(-0.577984\pi\) |
0.438954 | − | 0.898510i | \(-0.355349\pi\) | |||||||
\(420\) | −0.0516644 | − | 0.266063i | −0.00252097 | − | 0.0129825i | ||||
\(421\) | 0.651732 | + | 6.20082i | 0.0317635 | + | 0.302209i | 0.998857 | + | 0.0477898i | \(0.0152178\pi\) |
−0.967094 | + | 0.254420i | \(0.918116\pi\) | |||||||
\(422\) | −25.8891 | + | 18.8095i | −1.26026 | + | 0.915632i | ||||
\(423\) | −3.53283 | − | 3.57880i | −0.171772 | − | 0.174007i | ||||
\(424\) | −0.800965 | −0.0388983 | ||||||||
\(425\) | −8.40143 | + | 12.1551i | −0.407529 | + | 0.589610i | ||||
\(426\) | 28.6578 | − | 27.0198i | 1.38848 | − | 1.30911i | ||||
\(427\) | −25.8136 | + | 28.6689i | −1.24921 | + | 1.38739i | ||||
\(428\) | −0.136385 | − | 0.0607224i | −0.00659241 | − | 0.00293513i | ||||
\(429\) | −7.59598 | + | 2.66228i | −0.366737 | + | 0.128536i | ||||
\(430\) | 0.776202 | + | 12.0876i | 0.0374318 | + | 0.582916i | ||||
\(431\) | −5.18988 | − | 3.77067i | −0.249988 | − | 0.181627i | 0.455734 | − | 0.890116i | \(-0.349377\pi\) |
−0.705721 | + | 0.708489i | \(0.749377\pi\) | |||||||
\(432\) | −20.3273 | + | 3.56395i | −0.977996 | + | 0.171471i | ||||
\(433\) | −12.6872 | − | 9.21781i | −0.609709 | − | 0.442980i | 0.239603 | − | 0.970871i | \(-0.422983\pi\) |
−0.849312 | + | 0.527891i | \(0.822983\pi\) | |||||||
\(434\) | −30.5523 | − | 33.9318i | −1.46656 | − | 1.62878i | ||||
\(435\) | 14.9671 | + | 5.15679i | 0.717617 | + | 0.247249i | ||||
\(436\) | −0.0830466 | + | 0.0922326i | −0.00397721 | + | 0.00441714i | ||||
\(437\) | 12.1733 | − | 2.58752i | 0.582328 | − | 0.123778i | ||||
\(438\) | −6.88872 | − | 14.5634i | −0.329156 | − | 0.695868i | ||||
\(439\) | −15.2390 | − | 3.23916i | −0.727320 | − | 0.154597i | −0.170652 | − | 0.985331i | \(-0.554587\pi\) |
−0.556668 | + | 0.830735i | \(0.687921\pi\) | |||||||
\(440\) | −19.9265 | − | 0.809322i | −0.949957 | − | 0.0385829i | ||||
\(441\) | −49.5359 | − | 19.3833i | −2.35885 | − | 0.923016i | ||||
\(442\) | 4.98267 | + | 3.62012i | 0.237002 | + | 0.172192i | ||||
\(443\) | −0.149149 | + | 0.258333i | −0.00708627 | + | 0.0122738i | −0.869547 | − | 0.493851i | \(-0.835589\pi\) |
0.862461 | + | 0.506124i | \(0.168922\pi\) | |||||||
\(444\) | −0.0457365 | + | 0.109416i | −0.00217056 | + | 0.00519266i | ||||
\(445\) | 5.48125 | + | 2.71207i | 0.259836 | + | 0.128565i | ||||
\(446\) | −27.7582 | − | 12.3588i | −1.31439 | − | 0.585204i | ||||
\(447\) | 19.6783 | + | 16.9172i | 0.930752 | + | 0.800154i | ||||
\(448\) | −39.1848 | − | 8.32900i | −1.85131 | − | 0.393508i | ||||
\(449\) | −0.00271457 | −0.000128108 | −6.40542e−5 | − | 1.00000i | \(-0.500020\pi\) | ||||
−6.40542e−5 | 1.00000i | \(0.500020\pi\) | ||||||||
\(450\) | −9.91675 | − | 18.6679i | −0.467480 | − | 0.880015i | ||||
\(451\) | 7.67781 | 0.361534 | ||||||||
\(452\) | −0.120842 | − | 0.0256858i | −0.00568394 | − | 0.00120816i | ||||
\(453\) | 1.80133 | − | 9.54684i | 0.0846340 | − | 0.448550i | ||||
\(454\) | 2.79483 | + | 1.24434i | 0.131168 | + | 0.0583997i | ||||
\(455\) | −7.63791 | − | 14.5640i | −0.358071 | − | 0.682772i | ||||
\(456\) | 5.57000 | + | 7.30774i | 0.260839 | + | 0.342216i | ||||
\(457\) | 1.96454 | − | 3.40268i | 0.0918972 | − | 0.159171i | −0.816412 | − | 0.577470i | \(-0.804040\pi\) |
0.908309 | + | 0.418299i | \(0.137374\pi\) | |||||||
\(458\) | −22.0078 | − | 15.9896i | −1.02836 | − | 0.747146i | ||||
\(459\) | −14.2431 | + | 5.73855i | −0.664812 | + | 0.267853i | ||||
\(460\) | 0.0727771 | − | 0.196470i | 0.00339325 | − | 0.00916045i | ||||
\(461\) | −7.58196 | − | 1.61160i | −0.353127 | − | 0.0750595i | 0.0279328 | − | 0.999610i | \(-0.491108\pi\) |
−0.381060 | + | 0.924550i | \(0.624441\pi\) | |||||||
\(462\) | −21.7057 | + | 31.3643i | −1.00984 | + | 1.45920i | ||||
\(463\) | −25.2334 | + | 5.36353i | −1.17270 | + | 0.249264i | −0.752764 | − | 0.658291i | \(-0.771280\pi\) |
−0.419933 | + | 0.907555i | \(0.637946\pi\) | |||||||
\(464\) | 10.8626 | − | 12.0641i | 0.504283 | − | 0.560063i | ||||
\(465\) | 21.6267 | + | 13.0003i | 1.00292 | + | 0.602874i | ||||
\(466\) | 25.0538 | + | 27.8251i | 1.16060 | + | 1.28897i | ||||
\(467\) | 15.4805 | + | 11.2472i | 0.716350 | + | 0.520459i | 0.885216 | − | 0.465180i | \(-0.154011\pi\) |
−0.168866 | + | 0.985639i | \(0.554011\pi\) | |||||||
\(468\) | 0.0558098 | − | 0.0279836i | 0.00257981 | − | 0.00129354i | ||||
\(469\) | 45.9149 | + | 33.3591i | 2.12015 | + | 1.54038i | ||||
\(470\) | −3.37222 | − | 4.06559i | −0.155549 | − | 0.187532i | ||||
\(471\) | 20.1887 | + | 17.3560i | 0.930248 | + | 0.799720i | ||||
\(472\) | −7.84359 | − | 3.49219i | −0.361030 | − | 0.160741i | ||||
\(473\) | −8.08211 | + | 8.97609i | −0.371616 | + | 0.412721i | ||||
\(474\) | −4.55504 | − | 19.2469i | −0.209220 | − | 0.884039i | ||||
\(475\) | −5.31363 | + | 7.68772i | −0.243806 | + | 0.352737i | ||||
\(476\) | −0.206806 | −0.00947893 | ||||||||
\(477\) | 0.224397 | − | 0.816319i | 0.0102744 | − | 0.0373767i | ||||
\(478\) | −8.41917 | + | 6.11689i | −0.385084 | + | 0.279780i | ||||
\(479\) | 1.14191 | + | 10.8645i | 0.0521750 | + | 0.496412i | 0.989139 | + | 0.146985i | \(0.0469570\pi\) |
−0.936964 | + | 0.349427i | \(0.886376\pi\) | |||||||
\(480\) | 0.307127 | − | 0.0268108i | 0.0140184 | − | 0.00122374i | ||||
\(481\) | −0.752153 | + | 7.15626i | −0.0342952 | + | 0.326297i | ||||
\(482\) | −9.93380 | − | 17.2059i | −0.452472 | − | 0.783705i | ||||
\(483\) | −34.7674 | − | 45.6142i | −1.58197 | − | 2.07552i | ||||
\(484\) | 0.0106025 | + | 0.0117753i | 0.000481931 | + | 0.000535239i | ||||
\(485\) | 17.2392 | + | 13.6273i | 0.782790 | + | 0.618783i | ||||
\(486\) | 2.07719 | − | 21.8693i | 0.0942234 | − | 0.992011i | ||||
\(487\) | −8.95137 | + | 27.5495i | −0.405625 | + | 1.24839i | 0.514746 | + | 0.857343i | \(0.327886\pi\) |
−0.920372 | + | 0.391044i | \(0.872114\pi\) | |||||||
\(488\) | −14.7328 | − | 16.3624i | −0.666921 | − | 0.740691i | ||||
\(489\) | 0.861019 | + | 37.5134i | 0.0389366 | + | 1.69641i | ||||
\(490\) | −50.0782 | − | 24.7783i | −2.26230 | − | 1.11937i | ||||
\(491\) | 23.9463 | − | 5.08995i | 1.08068 | − | 0.229706i | 0.367032 | − | 0.930208i | \(-0.380374\pi\) |
0.713650 | + | 0.700502i | \(0.247041\pi\) | |||||||
\(492\) | −0.0590686 | + | 0.00758241i | −0.00266302 | + | 0.000341841i | ||||
\(493\) | 6.03959 | − | 10.4609i | 0.272010 | − | 0.471134i | ||||
\(494\) | 3.15138 | + | 2.28961i | 0.141787 | + | 0.103015i | ||||
\(495\) | 6.40740 | − | 20.0817i | 0.287991 | − | 0.902605i | ||||
\(496\) | 20.9343 | − | 15.2097i | 0.939980 | − | 0.682935i | ||||
\(497\) | 8.38817 | + | 79.8081i | 0.376261 | + | 3.57988i | ||||
\(498\) | −20.0805 | + | 12.2163i | −0.899831 | + | 0.547425i | ||||
\(499\) | 12.7554 | + | 22.0929i | 0.571008 | + | 0.989016i | 0.996463 | + | 0.0840358i | \(0.0267810\pi\) |
−0.425454 | + | 0.904980i | \(0.639886\pi\) | |||||||
\(500\) | 0.0615304 | + | 0.144798i | 0.00275172 | + | 0.00647556i | ||||
\(501\) | −6.58324 | − | 27.8169i | −0.294117 | − | 1.24277i | ||||
\(502\) | 32.6675 | + | 6.94370i | 1.45802 | + | 0.309912i | ||||
\(503\) | −8.07131 | + | 5.86415i | −0.359882 | + | 0.261470i | −0.753003 | − | 0.658017i | \(-0.771395\pi\) |
0.393121 | + | 0.919487i | \(0.371395\pi\) | |||||||
\(504\) | 19.4676 | − | 37.6044i | 0.867154 | − | 1.67503i | ||||
\(505\) | 4.55484 | + | 16.2324i | 0.202688 | + | 0.722334i | ||||
\(506\) | −26.9362 | + | 11.9928i | −1.19746 | + | 0.533144i | ||||
\(507\) | −13.6267 | + | 12.8479i | −0.605185 | + | 0.570593i | ||||
\(508\) | 0.0117420 | − | 0.111717i | 0.000520966 | − | 0.00495666i | ||||
\(509\) | −24.2676 | + | 5.15824i | −1.07564 | + | 0.228635i | −0.711484 | − | 0.702702i | \(-0.751977\pi\) |
−0.364158 | + | 0.931337i | \(0.618643\pi\) | |||||||
\(510\) | −15.4254 | + | 4.71279i | −0.683048 | + | 0.208686i | ||||
\(511\) | 32.1065 | + | 6.82444i | 1.42031 | + | 0.301896i | ||||
\(512\) | 7.06462 | − | 21.7427i | 0.312215 | − | 0.960899i | ||||
\(513\) | −9.00831 | + | 3.62945i | −0.397727 | + | 0.160244i | ||||
\(514\) | −3.09095 | − | 9.51297i | −0.136336 | − | 0.419599i | ||||
\(515\) | 0.642132 | − | 0.255200i | 0.0282957 | − | 0.0112455i | ||||
\(516\) | 0.0533145 | − | 0.0770385i | 0.00234704 | − | 0.00339143i | ||||
\(517\) | 0.550583 | − | 5.23845i | 0.0242146 | − | 0.230387i | ||||
\(518\) | 17.0494 | + | 29.5304i | 0.749108 | + | 1.29749i | ||||
\(519\) | −20.7530 | + | 2.66398i | −0.910955 | + | 0.116936i | ||||
\(520\) | 8.72234 | − | 3.46649i | 0.382500 | − | 0.152016i | ||||
\(521\) | 1.27373 | − | 0.925421i | 0.0558033 | − | 0.0405434i | −0.559534 | − | 0.828807i | \(-0.689020\pi\) |
0.615337 | + | 0.788264i | \(0.289020\pi\) | |||||||
\(522\) | 9.31770 | + | 14.5531i | 0.407825 | + | 0.636971i | ||||
\(523\) | −1.55314 | − | 4.78007i | −0.0679141 | − | 0.209018i | 0.911340 | − | 0.411655i | \(-0.135049\pi\) |
−0.979254 | + | 0.202637i | \(0.935049\pi\) | |||||||
\(524\) | 0.0771096 | − | 0.133558i | 0.00336855 | − | 0.00583450i | ||||
\(525\) | 42.4972 | + | 6.98720i | 1.85473 | + | 0.304947i | ||||
\(526\) | 10.4179 | + | 18.0444i | 0.454244 | + | 0.786773i | ||||
\(527\) | 12.8833 | − | 14.3084i | 0.561207 | − | 0.623283i | ||||
\(528\) | −16.3916 | − | 14.0916i | −0.713353 | − | 0.613259i | ||||
\(529\) | −2.23021 | − | 21.2191i | −0.0969659 | − | 0.922569i | ||||
\(530\) | 0.308888 | − | 0.833878i | 0.0134172 | − | 0.0362213i | ||||
\(531\) | 5.75658 | − | 7.01558i | 0.249814 | − | 0.304450i | ||||
\(532\) | −0.130798 | −0.00567082 | ||||||||
\(533\) | −3.30109 | + | 1.46974i | −0.142986 | + | 0.0636614i | ||||
\(534\) | 2.85443 | + | 6.03455i | 0.123523 | + | 0.261140i | ||||
\(535\) | 16.5761 | − | 16.9708i | 0.716645 | − | 0.733712i | ||||
\(536\) | −21.6742 | + | 24.0716i | −0.936181 | + | 1.03973i | ||||
\(537\) | −13.1089 | + | 18.9422i | −0.565692 | + | 0.817415i | ||||
\(538\) | 6.18362 | + | 6.86760i | 0.266595 | + | 0.296083i | ||||
\(539\) | −17.2173 | − | 52.9893i | −0.741600 | − | 2.28241i | ||||
\(540\) | −0.0294626 | + | 0.160825i | −0.00126787 | + | 0.00692079i | ||||
\(541\) | −5.34859 | + | 16.4613i | −0.229954 | + | 0.707725i | 0.767797 | + | 0.640693i | \(0.221353\pi\) |
−0.997751 | + | 0.0670319i | \(0.978647\pi\) | |||||||
\(542\) | −6.61679 | + | 2.94598i | −0.284215 | + | 0.126541i | ||||
\(543\) | −34.7332 | − | 10.4107i | −1.49054 | − | 0.446764i | ||||
\(544\) | 0.0245891 | − | 0.233950i | 0.00105425 | − | 0.0100305i | ||||
\(545\) | −9.15956 | − | 17.4655i | −0.392352 | − | 0.748140i | ||||
\(546\) | 3.32842 | − | 17.6402i | 0.142443 | − | 0.754930i | ||||
\(547\) | −1.44601 | − | 13.7578i | −0.0618268 | − | 0.588243i | −0.980948 | − | 0.194269i | \(-0.937767\pi\) |
0.919121 | − | 0.393974i | \(-0.128900\pi\) | |||||||
\(548\) | 0.0299233 | + | 0.0920944i | 0.00127826 | + | 0.00393408i | ||||
\(549\) | 20.8036 | − | 10.4311i | 0.887874 | − | 0.445190i | ||||
\(550\) | 8.52712 | − | 20.4332i | 0.363597 | − | 0.871273i | ||||
\(551\) | 3.81985 | − | 6.61617i | 0.162731 | − | 0.281858i | ||||
\(552\) | 27.9652 | − | 17.0130i | 1.19028 | − | 0.724123i | ||||
\(553\) | 36.8132 | + | 16.3903i | 1.56546 | + | 0.696987i | ||||
\(554\) | 7.34543 | + | 3.27040i | 0.312078 | + | 0.138946i | ||||
\(555\) | −13.7794 | − | 12.8545i | −0.584904 | − | 0.545642i | ||||
\(556\) | −0.0972088 | + | 0.0432801i | −0.00412257 | + | 0.00183549i | ||||
\(557\) | 18.9380 | 0.802431 | 0.401215 | − | 0.915984i | \(-0.368588\pi\) | ||||
0.401215 | + | 0.915984i | \(0.368588\pi\) | |||||||
\(558\) | 9.70461 | + | 25.7781i | 0.410829 | + | 1.09128i | ||||
\(559\) | 1.75665 | − | 5.40641i | 0.0742984 | − | 0.228667i | ||||
\(560\) | 23.6165 | − | 37.3204i | 0.997979 | − | 1.57707i | ||||
\(561\) | −14.1100 | − | 7.72027i | −0.595726 | − | 0.325950i | ||||
\(562\) | 7.15361 | − | 1.52055i | 0.301757 | − | 0.0641404i | ||||
\(563\) | 12.2407 | − | 2.60183i | 0.515882 | − | 0.109654i | 0.0573888 | − | 0.998352i | \(-0.481723\pi\) |
0.458494 | + | 0.888698i | \(0.348389\pi\) | |||||||
\(564\) | 0.000937494 | 0.0408453i | 3.94756e−5 | 0.00171990i | ||||||
\(565\) | 10.4974 | − | 16.5887i | 0.441630 | − | 0.697893i | ||||
\(566\) | −2.64256 | + | 8.13296i | −0.111075 | + | 0.341854i | ||||
\(567\) | 32.8713 | + | 30.3759i | 1.38046 | + | 1.27567i | ||||
\(568\) | −45.8002 | −1.92173 | ||||||||
\(569\) | 2.72817 | − | 1.21466i | 0.114371 | − | 0.0509213i | −0.348753 | − | 0.937215i | \(-0.613395\pi\) |
0.463124 | + | 0.886293i | \(0.346728\pi\) | |||||||
\(570\) | −9.75607 | + | 2.98069i | −0.408637 | + | 0.124847i | ||||
\(571\) | −11.1866 | − | 4.98059i | −0.468144 | − | 0.208431i | 0.159087 | − | 0.987265i | \(-0.449145\pi\) |
−0.627231 | + | 0.778834i | \(0.715812\pi\) | |||||||
\(572\) | 0.0597401 | + | 0.0265980i | 0.00249786 | + | 0.00111212i | ||||
\(573\) | −7.37019 | − | 4.03258i | −0.307894 | − | 0.168463i | ||||
\(574\) | −8.56178 | + | 14.8294i | −0.357362 | + | 0.618969i | ||||
\(575\) | 25.2586 | + | 21.6888i | 1.05336 | + | 0.904484i | ||||
\(576\) | 20.1822 | + | 13.2927i | 0.840926 | + | 0.553864i | ||||
\(577\) | 9.05957 | + | 27.8825i | 0.377155 | + | 1.16076i | 0.942013 | + | 0.335575i | \(0.108931\pi\) |
−0.564859 | + | 0.825188i | \(0.691069\pi\) | |||||||
\(578\) | −1.21773 | − | 11.5860i | −0.0506510 | − | 0.481912i | ||||
\(579\) | 4.65408 | + | 4.00104i | 0.193417 | + | 0.166278i | ||||
\(580\) | −0.0597340 | − | 0.113901i | −0.00248032 | − | 0.00472949i | ||||
\(581\) | 5.00572 | − | 47.6262i | 0.207672 | − | 1.97587i | ||||
\(582\) | 5.52433 | + | 23.3425i | 0.228991 | + | 0.967579i | ||||
\(583\) | 0.810090 | − | 0.360675i | 0.0335505 | − | 0.0149376i | ||||
\(584\) | −5.78903 | + | 17.8168i | −0.239552 | + | 0.737265i | ||||
\(585\) | 1.08930 | + | 9.86070i | 0.0450372 | + | 0.407690i | ||||
\(586\) | −2.56579 | − | 7.89669i | −0.105992 | − | 0.326209i | ||||
\(587\) | −22.0289 | − | 24.4656i | −0.909230 | − | 1.00980i | −0.999903 | − | 0.0139220i | \(-0.995568\pi\) |
0.0906726 | − | 0.995881i | \(-0.471098\pi\) | |||||||
\(588\) | 0.184790 | + | 0.390665i | 0.00762063 | + | 0.0161108i | ||||
\(589\) | 8.14829 | − | 9.04960i | 0.335745 | − | 0.372882i | ||||
\(590\) | 6.66053 | − | 6.81915i | 0.274210 | − | 0.280740i | ||||
\(591\) | −21.1289 | + | 30.5309i | −0.869126 | + | 1.25587i | ||||
\(592\) | −17.6538 | + | 7.85997i | −0.725566 | + | 0.323043i | ||||
\(593\) | 4.25001 | 0.174527 | 0.0872635 | − | 0.996185i | \(-0.472188\pi\) | ||||
0.0872635 | + | 0.996185i | \(0.472188\pi\) | |||||||
\(594\) | 19.0883 | − | 12.8484i | 0.783203 | − | 0.527174i | ||||
\(595\) | 11.4149 | − | 30.8158i | 0.467965 | − | 1.26332i | ||||
\(596\) | −0.0220380 | − | 0.209678i | −0.000902713 | − | 0.00858874i | ||||
\(597\) | 30.9594 | − | 10.8508i | 1.26708 | − | 0.444094i | ||||
\(598\) | 9.28552 | − | 10.3126i | 0.379713 | − | 0.421714i | ||||
\(599\) | 5.93409 | + | 10.2782i | 0.242460 | + | 0.419954i | 0.961415 | − | 0.275104i | \(-0.0887122\pi\) |
−0.718954 | + | 0.695058i | \(0.755379\pi\) | |||||||
\(600\) | −6.50130 | + | 23.7050i | −0.265415 | + | 0.967751i | ||||
\(601\) | −1.60271 | + | 2.77598i | −0.0653759 | + | 0.113234i | −0.896861 | − | 0.442313i | \(-0.854158\pi\) |
0.831485 | + | 0.555548i | \(0.187491\pi\) | |||||||
\(602\) | −8.32440 | − | 25.6199i | −0.339277 | − | 1.04419i | ||||
\(603\) | −18.4608 | − | 28.8335i | −0.751784 | − | 1.17419i | ||||
\(604\) | −0.0638567 | + | 0.0463946i | −0.00259829 | + | 0.00188777i | ||||
\(605\) | −2.33982 | + | 0.929908i | −0.0951274 | + | 0.0378061i | ||||
\(606\) | −7.09760 | + | 16.9797i | −0.288320 | + | 0.689753i | ||||
\(607\) | 20.6184 | + | 35.7121i | 0.836876 | + | 1.44951i | 0.892494 | + | 0.451059i | \(0.148954\pi\) |
−0.0556185 | + | 0.998452i | \(0.517713\pi\) | |||||||
\(608\) | 0.0155518 | − | 0.147966i | 0.000630710 | − | 0.00600080i | ||||
\(609\) | −35.0896 | − | 2.87574i | −1.42190 | − | 0.116531i | ||||
\(610\) | 22.7164 | − | 9.02809i | 0.919759 | − | 0.365537i | ||||
\(611\) | 0.766055 | + | 2.35768i | 0.0309913 | + | 0.0953813i | ||||
\(612\) | 0.116179 | + | 0.0454605i | 0.00469624 | + | 0.00183763i | ||||
\(613\) | 1.02258 | − | 3.14717i | 0.0413015 | − | 0.127113i | −0.928280 | − | 0.371883i | \(-0.878712\pi\) |
0.969581 | + | 0.244770i | \(0.0787123\pi\) | |||||||
\(614\) | −43.9781 | − | 9.34783i | −1.77481 | − | 0.377248i | ||||
\(615\) | 2.13052 | − | 9.22022i | 0.0859107 | − | 0.371795i | ||||
\(616\) | 43.3839 | − | 9.22154i | 1.74799 | − | 0.371547i | ||||
\(617\) | 2.80281 | − | 26.6670i | 0.112837 | − | 1.07357i | −0.780800 | − | 0.624781i | \(-0.785188\pi\) |
0.893637 | − | 0.448790i | \(-0.148145\pi\) | |||||||
\(618\) | 0.722512 | + | 0.216560i | 0.0290637 | + | 0.00871132i | ||||
\(619\) | −28.6686 | + | 12.7641i | −1.15229 | + | 0.513032i | −0.891793 | − | 0.452444i | \(-0.850552\pi\) |
−0.260495 | + | 0.965475i | \(0.583886\pi\) | |||||||
\(620\) | −0.0553861 | − | 0.197384i | −0.00222436 | − | 0.00792711i | ||||
\(621\) | 9.50449 | + | 33.2676i | 0.381402 | + | 1.33498i | ||||
\(622\) | −18.3000 | + | 13.2957i | −0.733763 | + | 0.533110i | ||||
\(623\) | −13.3037 | − | 2.82780i | −0.533003 | − | 0.113293i | ||||
\(624\) | 9.74511 | + | 2.92092i | 0.390117 | + | 0.116930i | ||||
\(625\) | −24.9723 | + | 1.17624i | −0.998893 | + | 0.0470496i | ||||
\(626\) | −3.13988 | − | 5.43843i | −0.125495 | − | 0.217363i | ||||
\(627\) | −8.92414 | − | 4.88282i | −0.356396 | − | 0.195001i | ||||
\(628\) | −0.0226097 | − | 0.215116i | −0.000902223 | − | 0.00858408i | ||||
\(629\) | −11.6327 | + | 8.45166i | −0.463827 | + | 0.336990i | ||||
\(630\) | 31.6421 | + | 34.7695i | 1.26065 | + | 1.38525i | ||||
\(631\) | 0.499112 | + | 0.362626i | 0.0198693 | + | 0.0144359i | 0.597676 | − | 0.801738i | \(-0.296091\pi\) |
−0.577806 | + | 0.816174i | \(0.696091\pi\) | |||||||
\(632\) | −11.4995 | + | 19.9177i | −0.457426 | + | 0.792285i | ||||
\(633\) | −15.1688 | + | 36.2885i | −0.602904 | + | 1.44234i | ||||
\(634\) | 20.1105 | − | 4.27462i | 0.798690 | − | 0.169767i | ||||
\(635\) | 15.9987 | + | 7.91602i | 0.634889 | + | 0.314138i | ||||
\(636\) | −0.00587616 | + | 0.00357485i | −0.000233005 | + | 0.000141752i | ||||
\(637\) | 17.5462 | + | 19.4870i | 0.695204 | + | 0.772102i | ||||
\(638\) | −5.59320 | + | 17.2141i | −0.221437 | + | 0.681513i | ||||
\(639\) | 12.8313 | − | 46.6782i | 0.507599 | − | 1.84656i | ||||
\(640\) | 19.6343 | + | 15.5206i | 0.776116 | + | 0.613507i | ||||
\(641\) | 5.70725 | + | 6.33855i | 0.225423 | + | 0.250358i | 0.845238 | − | 0.534391i | \(-0.179459\pi\) |
−0.619815 | + | 0.784748i | \(0.712792\pi\) | |||||||
\(642\) | 25.6847 | − | 3.29705i | 1.01370 | − | 0.130124i | ||||
\(643\) | −9.71503 | − | 16.8269i | −0.383124 | − | 0.663589i | 0.608383 | − | 0.793643i | \(-0.291818\pi\) |
−0.991507 | + | 0.130054i | \(0.958485\pi\) | |||||||
\(644\) | −0.0487066 | + | 0.463413i | −0.00191931 | + | 0.0182610i | ||||
\(645\) | 8.53661 | + | 12.1965i | 0.336129 | + | 0.480237i | ||||
\(646\) | 0.813635 | + | 7.74122i | 0.0320120 | + | 0.304574i | ||||
\(647\) | 23.3550 | − | 16.9684i | 0.918180 | − | 0.667097i | −0.0248902 | − | 0.999690i | \(-0.507924\pi\) |
0.943070 | + | 0.332593i | \(0.107924\pi\) | |||||||
\(648\) | −19.2027 | + | 16.8459i | −0.754353 | + | 0.661768i | ||||
\(649\) | 9.50548 | 0.373123 | ||||||||
\(650\) | 0.245207 | + | 10.4176i | 0.00961782 | + | 0.408611i | ||||
\(651\) | −53.7565 | − | 16.1125i | −2.10688 | − | 0.631500i | ||||
\(652\) | 0.203988 | − | 0.226552i | 0.00798879 | − | 0.00887245i | ||||
\(653\) | 12.0328 | + | 5.35734i | 0.470879 | + | 0.209649i | 0.628436 | − | 0.777861i | \(-0.283695\pi\) |
−0.157557 | + | 0.987510i | \(0.550362\pi\) | |||||||
\(654\) | 3.99151 | − | 21.1545i | 0.156081 | − | 0.827207i | ||||
\(655\) | 15.6450 | + | 18.8618i | 0.611303 | + | 0.736993i | ||||
\(656\) | −7.85092 | − | 5.70403i | −0.306527 | − | 0.222705i | ||||
\(657\) | −16.5365 | − | 10.8915i | −0.645150 | − | 0.424919i | ||||
\(658\) | 9.50393 | + | 6.90501i | 0.370502 | + | 0.269185i | ||||
\(659\) | 1.16065 | + | 1.28904i | 0.0452126 | + | 0.0502137i | 0.765327 | − | 0.643642i | \(-0.222577\pi\) |
−0.720114 | + | 0.693855i | \(0.755911\pi\) | |||||||
\(660\) | −0.149800 | + | 0.0829979i | −0.00583095 | + | 0.00323069i | ||||
\(661\) | 3.99118 | − | 4.43266i | 0.155239 | − | 0.172410i | −0.660508 | − | 0.750819i | \(-0.729659\pi\) |
0.815747 | + | 0.578408i | \(0.196326\pi\) | |||||||
\(662\) | 32.5192 | − | 6.91217i | 1.26389 | − | 0.268649i | ||||
\(663\) | 7.54449 | + | 0.618303i | 0.293004 | + | 0.0240129i | ||||
\(664\) | 26.7345 | + | 5.68259i | 1.03750 | + | 0.220527i | ||||
\(665\) | 7.21955 | − | 19.4900i | 0.279962 | − | 0.755789i | ||||
\(666\) | −3.08651 | − | 20.3373i | −0.119600 | − | 0.788056i | ||||
\(667\) | −22.0184 | − | 15.9973i | −0.852556 | − | 0.619418i | ||||
\(668\) | −0.116120 | + | 0.201125i | −0.00449280 | + | 0.00778176i | ||||
\(669\) | −37.0417 | + | 4.75491i | −1.43212 | + | 0.183835i | ||||
\(670\) | −16.7022 | − | 31.8479i | −0.645263 | − | 1.23039i | ||||
\(671\) | 22.2686 | + | 9.91462i | 0.859670 | + | 0.382750i | ||||
\(672\) | −0.647059 | + | 0.226785i | −0.0249609 | + | 0.00874842i | ||||
\(673\) | 36.5259 | + | 7.76382i | 1.40797 | + | 0.299273i | 0.848332 | − | 0.529464i | \(-0.177607\pi\) |
0.559638 | + | 0.828737i | \(0.310940\pi\) | |||||||
\(674\) | 11.7427 | 0.452311 | ||||||||
\(675\) | −22.3380 | − | 13.2671i | −0.859789 | − | 0.510650i | ||||
\(676\) | 0.152158 | 0.00585224 | ||||||||
\(677\) | −18.1401 | − | 3.85579i | −0.697180 | − | 0.148190i | −0.154329 | − | 0.988019i | \(-0.549322\pi\) |
−0.542851 | + | 0.839829i | \(0.682655\pi\) | |||||||
\(678\) | 20.2229 | − | 7.08785i | 0.776657 | − | 0.272207i | ||||
\(679\) | −44.6469 | − | 19.8781i | −1.71339 | − | 0.762851i | ||||
\(680\) | 16.8103 | + | 8.31761i | 0.644647 | + | 0.318966i | ||||
\(681\) | 3.72954 | − | 0.478747i | 0.142916 | − | 0.0183456i | ||||
\(682\) | −14.4254 | + | 24.9855i | −0.552377 | + | 0.956745i | ||||
\(683\) | 23.3543 | + | 16.9679i | 0.893628 | + | 0.649259i | 0.936821 | − | 0.349808i | \(-0.113753\pi\) |
−0.0431936 | + | 0.999067i | \(0.513753\pi\) | |||||||
\(684\) | 0.0734793 | + | 0.0287523i | 0.00280955 | + | 0.00109937i | ||||
\(685\) | −15.3745 | − | 0.624441i | −0.587429 | − | 0.0238587i | ||||
\(686\) | 73.5617 | + | 15.6360i | 2.80860 | + | 0.596986i | ||||
\(687\) | −33.3230 | − | 2.73096i | −1.27135 | − | 0.104193i | ||||
\(688\) | 14.9329 | − | 3.17408i | 0.569311 | − | 0.121011i | ||||
\(689\) | −0.279256 | + | 0.310146i | −0.0106388 | + | 0.0118156i | ||||
\(690\) | 6.92749 | + | 35.6753i | 0.263725 | + | 1.35814i | ||||
\(691\) | −22.4462 | − | 24.9290i | −0.853894 | − | 0.948345i | 0.145263 | − | 0.989393i | \(-0.453597\pi\) |
−0.999157 | + | 0.0410478i | \(0.986930\pi\) | |||||||
\(692\) | 0.137525 | + | 0.0999175i | 0.00522790 | + | 0.00379829i | ||||
\(693\) | −2.75605 | + | 46.7991i | −0.104694 | + | 1.77775i | ||||
\(694\) | 17.1992 | + | 12.4959i | 0.652872 | + | 0.474339i | ||||
\(695\) | −1.08355 | − | 16.8738i | −0.0411012 | − | 0.640060i | ||||
\(696\) | 3.72568 | − | 19.7456i | 0.141222 | − | 0.748457i | ||||
\(697\) | −6.59642 | − | 2.93692i | −0.249857 | − | 0.111244i | ||||
\(698\) | −5.73069 | + | 6.36457i | −0.216910 | + | 0.240903i | ||||
\(699\) | 44.0819 | + | 13.2128i | 1.66733 | + | 0.499753i | ||||
\(700\) | −0.212271 | − | 0.278158i | −0.00802309 | − | 0.0105134i | ||||
\(701\) | −29.9242 | −1.13022 | −0.565110 | − | 0.825015i | \(-0.691166\pi\) | ||||
−0.565110 | + | 0.825015i | \(0.691166\pi\) | |||||||
\(702\) | −5.74753 | + | 9.17818i | −0.216927 | + | 0.346408i | ||||
\(703\) | −7.35732 | + | 5.34540i | −0.277486 | + | 0.201606i | ||||
\(704\) | 2.64590 | + | 25.1740i | 0.0997210 | + | 0.948782i | ||||
\(705\) | −6.13803 | − | 2.11481i | −0.231172 | − | 0.0796483i | ||||
\(706\) | −3.43237 | + | 32.6569i | −0.129179 | + | 1.22906i | ||||
\(707\) | −18.7477 | − | 32.4720i | −0.705080 | − | 1.22123i | ||||
\(708\) | −0.0731296 | + | 0.00938738i | −0.00274838 | + | 0.000352799i | ||||
\(709\) | −14.3766 | − | 15.9668i | −0.539923 | − | 0.599645i | 0.410017 | − | 0.912078i | \(-0.365523\pi\) |
−0.949940 | + | 0.312433i | \(0.898856\pi\) | |||||||
\(710\) | 17.6626 | − | 47.6822i | 0.662866 | − | 1.78948i | ||||
\(711\) | −17.0779 | − | 17.3001i | −0.640470 | − | 0.648803i | ||||
\(712\) | 2.39876 | − | 7.38262i | 0.0898973 | − | 0.276675i | ||||
\(713\) | −29.0281 | − | 32.2390i | −1.08711 | − | 1.20736i | ||||
\(714\) | 30.6460 | − | 18.6439i | 1.14690 | − | 0.697732i | ||||
\(715\) | −7.26074 | + | 7.43366i | −0.271536 | + | 0.278003i | ||||
\(716\) | 0.183064 | − | 0.0389114i | 0.00684140 | − | 0.00145419i | ||||
\(717\) | −4.93291 | + | 11.8011i | −0.184223 | + | 0.440720i | ||||
\(718\) | 2.82238 | − | 4.88851i | 0.105330 | − | 0.182437i | ||||
\(719\) | 1.84892 | + | 1.34332i | 0.0689531 | + | 0.0500973i | 0.621728 | − | 0.783233i | \(-0.286431\pi\) |
−0.552775 | + | 0.833331i | \(0.686431\pi\) | |||||||
\(720\) | −21.4710 | + | 15.7743i | −0.800178 | + | 0.587872i | ||||
\(721\) | −1.24326 | + | 0.903284i | −0.0463016 | + | 0.0336401i | ||||
\(722\) | −2.28419 | − | 21.7326i | −0.0850087 | − | 0.808804i | ||||
\(723\) | −21.4219 | − | 11.7209i | −0.796689 | − | 0.435906i | ||||
\(724\) | 0.147295 | + | 0.255123i | 0.00547419 | + | 0.00948158i | ||||
\(725\) | 20.2693 | − | 2.61395i | 0.752783 | − | 0.0970797i | ||||
\(726\) | −2.63272 | − | 0.789109i | −0.0977092 | − | 0.0292866i | ||||
\(727\) | −45.5201 | − | 9.67560i | −1.68825 | − | 0.358848i | −0.739080 | − | 0.673618i | \(-0.764739\pi\) |
−0.949168 | + | 0.314770i | \(0.898073\pi\) | |||||||
\(728\) | −16.8877 | + | 12.2697i | −0.625901 | + | 0.454744i | ||||
\(729\) | −11.7890 | − | 24.2903i | −0.436630 | − | 0.899641i | ||||
\(730\) | −16.3164 | − | 12.8979i | −0.603898 | − | 0.477372i | ||||
\(731\) | 10.3773 | − | 4.62028i | 0.383819 | − | 0.170887i | ||||
\(732\) | −0.181113 | − | 0.0542854i | −0.00669413 | − | 0.00200645i | ||||
\(733\) | 3.61620 | − | 34.4059i | 0.133568 | − | 1.27081i | −0.698288 | − | 0.715817i | \(-0.746054\pi\) |
0.831855 | − | 0.554993i | \(-0.187279\pi\) | |||||||
\(734\) | −31.6545 | + | 6.72837i | −1.16839 | + | 0.248348i | ||||
\(735\) | −68.4120 | + | 5.97207i | −2.52342 | + | 0.220283i | ||||
\(736\) | −0.518446 | − | 0.110199i | −0.0191102 | − | 0.00406199i | ||||
\(737\) | 11.0816 | − | 34.1057i | 0.408197 | − | 1.25630i | ||||
\(738\) | 8.06965 | − | 6.44876i | 0.297048 | − | 0.237382i | ||||
\(739\) | 2.02765 | + | 6.24048i | 0.0745885 | + | 0.229560i | 0.981399 | − | 0.191978i | \(-0.0614904\pi\) |
−0.906811 | + | 0.421538i | \(0.861490\pi\) | |||||||
\(740\) | 0.00981105 | + | 0.152785i | 0.000360661 | + | 0.00561650i | ||||
\(741\) | 4.77165 | + | 0.391057i | 0.175291 | + | 0.0143658i | ||||
\(742\) | −0.206726 | + | 1.96686i | −0.00758914 | + | 0.0722058i | ||||
\(743\) | −3.23803 | − | 5.60843i | −0.118792 | − | 0.205753i | 0.800497 | − | 0.599336i | \(-0.204569\pi\) |
−0.919289 | + | 0.393583i | \(0.871235\pi\) | |||||||
\(744\) | 12.3526 | − | 29.5514i | 0.452870 | − | 1.08341i | ||||
\(745\) | 32.4601 | + | 8.28956i | 1.18925 | + | 0.303706i | ||||
\(746\) | 23.2934 | − | 16.9236i | 0.852832 | − | 0.619619i | ||||
\(747\) | −13.2814 | + | 25.6549i | −0.485941 | + | 0.938665i | ||||
\(748\) | 0.0403803 | + | 0.124278i | 0.00147645 | + | 0.00454405i | ||||
\(749\) | −26.3799 | + | 45.6914i | −0.963901 | + | 1.66953i | ||||
\(750\) | −22.1718 | − | 15.9101i | −0.809601 | − | 0.580956i | ||||
\(751\) | 24.7422 | + | 42.8547i | 0.902855 | + | 1.56379i | 0.823771 | + | 0.566923i | \(0.191866\pi\) |
0.0790844 | + | 0.996868i | \(0.474800\pi\) | |||||||
\(752\) | −4.45477 | + | 4.94752i | −0.162449 | + | 0.180417i | ||||
\(753\) | 38.7375 | − | 13.5769i | 1.41167 | − | 0.494771i | ||||
\(754\) | −0.890435 | − | 8.47192i | −0.0324277 | − | 0.308529i | ||||
\(755\) | −3.38854 | − | 12.0760i | −0.123321 | − | 0.439490i | ||||
\(756\) | −0.0250141 | − | 0.362767i | −0.000909756 | − | 0.0131937i | ||||
\(757\) | 6.28412 | 0.228400 | 0.114200 | − | 0.993458i | \(-0.463569\pi\) | ||||
0.114200 | + | 0.993458i | \(0.463569\pi\) | |||||||
\(758\) | 3.37284 | − | 1.50168i | 0.122507 | − | 0.0545436i | ||||
\(759\) | −20.6228 | + | 29.7996i | −0.748561 | + | 1.08166i | ||||
\(760\) | 10.6320 | + | 5.26062i | 0.385663 | + | 0.190823i | ||||
\(761\) | −5.24853 | + | 5.82909i | −0.190259 | + | 0.211304i | −0.830726 | − | 0.556682i | \(-0.812074\pi\) |
0.640467 | + | 0.767986i | \(0.278741\pi\) | |||||||
\(762\) | 8.33152 | + | 17.6137i | 0.301819 | + | 0.638076i | ||||
\(763\) | 29.3488 | + | 32.5951i | 1.06250 | + | 1.18002i | ||||
\(764\) | 0.0210921 | + | 0.0649149i | 0.000763087 | + | 0.00234854i | ||||
\(765\) | −13.1866 | + | 14.8023i | −0.476763 | + | 0.535179i | ||||
\(766\) | 4.81058 | − | 14.8054i | 0.173813 | − | 0.534943i | ||||
\(767\) | −4.08690 | + | 1.81960i | −0.147569 | + | 0.0657021i | ||||
\(768\) | −0.134711 | − | 0.569207i | −0.00486095 | − | 0.0205395i | ||||
\(769\) | 1.70445 | − | 16.2167i | 0.0614639 | − | 0.584790i | −0.919836 | − | 0.392304i | \(-0.871678\pi\) |
0.981300 | − | 0.192486i | \(-0.0616551\pi\) | |||||||
\(770\) | −7.13033 | + | 48.7229i | −0.256959 | + | 1.75585i | ||||
\(771\) | −9.32248 | − | 8.01440i | −0.335741 | − | 0.288632i | ||||
\(772\) | −0.00521217 | − | 0.0495905i | −0.000187590 | − | 0.00178480i | ||||
\(773\) | 5.02215 | + | 15.4566i | 0.180634 | + | 0.555934i | 0.999846 | − | 0.0175566i | \(-0.00558874\pi\) |
−0.819212 | + | 0.573491i | \(0.805589\pi\) | |||||||
\(774\) | −0.955363 | + | 16.2225i | −0.0343398 | + | 0.583107i | ||||
\(775\) | 32.4689 | + | 2.64183i | 1.16632 | + | 0.0948974i | ||||
\(776\) | 13.9465 | − | 24.1561i | 0.500652 | − | 0.867154i | ||||
\(777\) | 36.7664 | + | 20.1167i | 1.31899 | + | 0.721681i | ||||
\(778\) | 16.1337 | + | 7.18318i | 0.578421 | + | 0.257530i | ||||
\(779\) | −4.17203 | − | 1.85751i | −0.149478 | − | 0.0665521i | ||||
\(780\) | 0.0485186 | − | 0.0643607i | 0.00173725 | − | 0.00230448i | ||||
\(781\) | 46.3220 | − | 20.6239i | 1.65753 | − | 0.737981i | ||||
\(782\) | 27.7298 | 0.991617 | ||||||||
\(783\) | 19.0804 | + | 9.32900i | 0.681877 | + | 0.333391i | ||||
\(784\) | −21.7615 | + | 66.9751i | −0.777198 | + | 2.39197i | ||||
\(785\) | 33.3021 | + | 8.50458i | 1.18860 | + | 0.303541i | ||||
\(786\) | 0.613817 | + | 26.7432i | 0.0218941 | + | 0.953897i | ||||
\(787\) | 2.67825 | − | 0.569279i | 0.0954692 | − | 0.0202926i | −0.159929 | − | 0.987128i | \(-0.551127\pi\) |
0.255399 | + | 0.966836i | \(0.417793\pi\) | |||||||
\(788\) | 0.295061 | − | 0.0627171i | 0.0105111 | − | 0.00223420i | ||||
\(789\) | 22.4659 | + | 12.2922i | 0.799808 | + | 0.437613i | ||||
\(790\) | −16.3015 | − | 19.6532i | −0.579980 | − | 0.699230i | ||||
\(791\) | −13.4916 | + | 41.5230i | −0.479707 | + | 1.47639i | ||||
\(792\) | −26.3992 | − | 4.35631i | −0.938054 | − | 0.154795i | ||||
\(793\) | −11.4723 | −0.407395 | ||||||||
\(794\) | 40.6071 | − | 18.0794i | 1.44109 | − | 0.641615i | ||||
\(795\) | −0.208340 | − | 1.07291i | −0.00738906 | − | 0.0380523i | ||||
\(796\) | −0.243486 | − | 0.108407i | −0.00863014 | − | 0.00384239i | ||||
\(797\) | −8.63501 | − | 3.84456i | −0.305868 | − | 0.136181i | 0.248063 | − | 0.968744i | \(-0.420206\pi\) |
−0.553931 | + | 0.832563i | \(0.686873\pi\) | |||||||
\(798\) | 19.3826 | − | 11.7917i | 0.686138 | − | 0.417422i | ||||
\(799\) | −2.47685 | + | 4.29003i | −0.0876246 | + | 0.151770i | ||||
\(800\) | 0.339906 | − | 0.207059i | 0.0120175 | − | 0.00732065i | ||||
\(801\) | 6.85211 | + | 4.51304i | 0.242107 | + | 0.159461i | ||||
\(802\) | 4.21326 | + | 12.9671i | 0.148775 | + | 0.457884i | ||||
\(803\) | −2.16794 | − | 20.6266i | −0.0765050 | − | 0.727897i | ||||
\(804\) | −0.0515736 | + | 0.273333i | −0.00181886 | + | 0.00963973i | ||||
\(805\) | −66.3639 | − | 32.8363i | −2.33902 | − | 1.15733i | ||||
\(806\) | 1.41932 | − | 13.5040i | 0.0499936 | − | 0.475657i | ||||
\(807\) | 10.8800 | + | 3.26109i | 0.382994 | + | 0.114796i | ||||
\(808\) | 19.5498 | − | 8.70415i | 0.687761 | − | 0.306211i | ||||
\(809\) | 9.23232 | − | 28.4142i | 0.324591 | − | 0.998989i | −0.647034 | − | 0.762462i | \(-0.723991\pi\) |
0.971625 | − | 0.236528i | \(-0.0760094\pi\) | |||||||
\(810\) | −10.1327 | − | 26.4883i | −0.356026 | − | 0.930704i | ||||
\(811\) | 0.848346 | + | 2.61094i | 0.0297894 | + | 0.0916825i | 0.964846 | − | 0.262817i | \(-0.0846514\pi\) |
−0.935056 | + | 0.354499i | \(0.884651\pi\) | |||||||
\(812\) | 0.191398 | + | 0.212569i | 0.00671674 | + | 0.00745970i | ||||
\(813\) | −5.06593 | + | 7.32018i | −0.177670 | + | 0.256730i | ||||
\(814\) | 14.4170 | − | 16.0117i | 0.505316 | − | 0.561210i | ||||
\(815\) | 22.4987 | + | 42.9007i | 0.788095 | + | 1.50275i | ||||
\(816\) | 8.69260 | + | 18.3770i | 0.304302 | + | 0.643324i | ||||
\(817\) | 6.56332 | − | 2.92218i | 0.229621 | − | 0.102234i | ||||
\(818\) | −15.2250 | −0.532330 | ||||||||
\(819\) | −7.77363 | − | 20.6489i | −0.271633 | − | 0.721532i | ||||
\(820\) | −0.0639823 | + | 0.0426292i | −0.00223436 | + | 0.00148868i | ||||
\(821\) | 3.01248 | + | 28.6618i | 0.105136 | + | 1.00030i | 0.912174 | + | 0.409804i | \(0.134403\pi\) |
−0.807037 | + | 0.590500i | \(0.798930\pi\) | |||||||
\(822\) | −12.7367 | − | 10.9496i | −0.444245 | − | 0.381911i | ||||
\(823\) | 18.5365 | − | 20.5868i | 0.646140 | − | 0.717611i | −0.327716 | − | 0.944776i | \(-0.606279\pi\) |
0.973856 | + | 0.227165i | \(0.0729456\pi\) | |||||||
\(824\) | −0.438542 | − | 0.759576i | −0.0152773 | − | 0.0264611i | ||||
\(825\) | −4.09899 | − | 26.9026i | −0.142709 | − | 0.936627i | ||||
\(826\) | −10.5999 | + | 18.3595i | −0.368817 | + | 0.638810i | ||||
\(827\) | −5.96739 | − | 18.3657i | −0.207506 | − | 0.638639i | −0.999601 | − | 0.0282408i | \(-0.991009\pi\) |
0.792095 | − | 0.610398i | \(-0.208991\pi\) | |||||||
\(828\) | 0.129231 | − | 0.249627i | 0.00449107 | − | 0.00867515i | ||||
\(829\) | −0.588767 | + | 0.427764i | −0.0204487 | + | 0.0148569i | −0.597963 | − | 0.801524i | \(-0.704023\pi\) |
0.577514 | + | 0.816381i | \(0.304023\pi\) | |||||||
\(830\) | −16.2261 | + | 25.6416i | −0.563216 | + | 0.890032i | ||||
\(831\) | 9.80206 | − | 1.25825i | 0.340030 | − | 0.0436483i | ||||
\(832\) | −5.95659 | − | 10.3171i | −0.206508 | − | 0.357682i | ||||
\(833\) | −5.47718 | + | 52.1119i | −0.189773 | + | 1.80557i | ||||
\(834\) | 10.5033 | − | 15.1771i | 0.363700 | − | 0.525541i | ||||
\(835\) | −23.5599 | − | 28.4041i | −0.815325 | − | 0.982964i | ||||
\(836\) | 0.0255393 | + | 0.0786018i | 0.000883294 | + | 0.00271850i | ||||
\(837\) | 26.6572 | + | 20.8685i | 0.921408 | + | 0.721321i | ||||
\(838\) | 16.7488 | − | 51.5476i | 0.578579 | − | 1.78068i | ||||
\(839\) | 1.66285 | + | 0.353450i | 0.0574081 | + | 0.0122025i | 0.236526 | − | 0.971625i | \(-0.423991\pi\) |
−0.179118 | + | 0.983828i | \(0.557324\pi\) | |||||||
\(840\) | 0.964539 | − | 54.6583i | 0.0332797 | − | 1.88589i | ||||
\(841\) | 12.0243 | − | 2.55584i | 0.414631 | − | 0.0881325i | ||||
\(842\) | −0.918440 | + | 8.73838i | −0.0316515 | + | 0.301144i | ||||
\(843\) | 6.54018 | − | 6.16635i | 0.225256 | − | 0.212380i | ||||
\(844\) | 0.291918 | − | 0.129970i | 0.0100482 | − | 0.00447376i | ||||
\(845\) | −8.39855 | + | 22.6728i | −0.288919 | + | 0.779969i | ||||
\(846\) | −3.82121 | − | 5.96824i | −0.131376 | − | 0.205192i | ||||
\(847\) | 4.53025 | − | 3.29142i | 0.155661 | − | 0.113094i | ||||
\(848\) | −1.09631 | − | 0.233028i | −0.0376474 | − | 0.00800220i | ||||
\(849\) | 2.42057 | + | 10.2279i | 0.0830739 | + | 0.351021i | ||||
\(850\) | −15.1422 | + | 14.2934i | −0.519373 | + | 0.490261i | ||||
\(851\) | 16.1988 | + | 28.0572i | 0.555289 | + | 0.961789i | ||||
\(852\) | −0.336007 | + | 0.204415i | −0.0115114 | + | 0.00700313i | ||||
\(853\) | −3.19910 | − | 30.4374i | −0.109535 | − | 1.04216i | −0.901851 | − | 0.432047i | \(-0.857792\pi\) |
0.792316 | − | 0.610111i | \(-0.208875\pi\) | |||||||
\(854\) | −43.9823 | + | 31.9550i | −1.50504 | + | 1.09348i | ||||
\(855\) | −8.34010 | + | 9.36200i | −0.285225 | + | 0.320174i | ||||
\(856\) | −24.3611 | − | 17.6994i | −0.832644 | − | 0.604951i | ||||
\(857\) | 11.3582 | − | 19.6730i | 0.387989 | − | 0.672017i | −0.604190 | − | 0.796840i | \(-0.706503\pi\) |
0.992179 | + | 0.124824i | \(0.0398365\pi\) | |||||||
\(858\) | −11.2506 | + | 1.44420i | −0.384089 | + | 0.0493040i | ||||
\(859\) | 28.1463 | − | 5.98269i | 0.960341 | − | 0.204127i | 0.299034 | − | 0.954242i | \(-0.403336\pi\) |
0.661307 | + | 0.750116i | \(0.270002\pi\) | |||||||
\(860\) | 0.0175138 | − | 0.119675i | 0.000597216 | − | 0.00408090i | ||||
\(861\) | 0.482931 | + | 21.0406i | 0.0164582 | + | 0.717063i | ||||
\(862\) | −6.04913 | − | 6.71824i | −0.206034 | − | 0.228824i | ||||
\(863\) | 4.01032 | − | 12.3425i | 0.136513 | − | 0.420143i | −0.859309 | − | 0.511456i | \(-0.829106\pi\) |
0.995822 | + | 0.0913127i | \(0.0291063\pi\) | |||||||
\(864\) | 0.413355 | + | 0.0148354i | 0.0140626 | + | 0.000504712i | ||||
\(865\) | −22.4794 | + | 14.9772i | −0.764321 | + | 0.509241i | ||||
\(866\) | −14.7877 | − | 16.4234i | −0.502508 | − | 0.558091i | ||||
\(867\) | −8.67977 | − | 11.3877i | −0.294781 | − | 0.386747i | ||||
\(868\) | 0.227969 | + | 0.394853i | 0.00773776 | + | 0.0134022i | ||||
\(869\) | 2.66154 | − | 25.3229i | 0.0902866 | − | 0.859020i | ||||
\(870\) | 19.1202 | + | 11.4936i | 0.648237 | + | 0.389669i | ||||
\(871\) | 1.76419 | + | 16.7851i | 0.0597772 | + | 0.568742i | ||||
\(872\) | −20.2522 | + | 14.7141i | −0.685825 | + | 0.498281i | ||||
\(873\) | 20.7119 | + | 20.9814i | 0.700993 | + | 0.710113i | ||||
\(874\) | 17.5382 | 0.593239 | ||||||||
\(875\) | 53.1644 | − | 16.2769i | 1.79728 | − | 0.550258i | ||||
\(876\) | 0.0370492 | + | 0.156548i | 0.00125178 | + | 0.00528927i | ||||
\(877\) | −1.36259 | + | 1.51331i | −0.0460114 | + | 0.0511009i | −0.765711 | − | 0.643185i | \(-0.777613\pi\) |
0.719700 | + | 0.694285i | \(0.244279\pi\) | |||||||
\(878\) | −20.0570 | − | 8.92994i | −0.676890 | − | 0.301371i | ||||
\(879\) | −7.73857 | − | 6.65273i | −0.261015 | − | 0.224391i | ||||
\(880\) | −27.0386 | − | 6.90503i | −0.911471 | − | 0.232768i | ||||
\(881\) | 41.9767 | + | 30.4979i | 1.41423 | + | 1.02750i | 0.992690 | + | 0.120689i | \(0.0385104\pi\) |
0.421540 | + | 0.906810i | \(0.361490\pi\) | |||||||
\(882\) | −62.6028 | − | 41.2324i | −2.10795 | − | 1.38837i | ||||
\(883\) | −3.04267 | − | 2.21063i | −0.102394 | − | 0.0743937i | 0.535410 | − | 0.844592i | \(-0.320157\pi\) |
−0.637804 | + | 0.770199i | \(0.720157\pi\) | |||||||
\(884\) | −0.0411517 | − | 0.0457036i | −0.00138408 | − | 0.00153718i | ||||
\(885\) | 2.63768 | − | 11.4151i | 0.0886646 | − | 0.383713i | ||||
\(886\) | −0.281282 | + | 0.312395i | −0.00944986 | + | 0.0104951i | ||||
\(887\) | −50.1206 | + | 10.6535i | −1.68288 | + | 0.357708i | −0.947454 | − | 0.319892i | \(-0.896353\pi\) |
−0.735430 | + | 0.677600i | \(0.763020\pi\) | |||||||
\(888\) | −13.6118 | + | 19.6689i | −0.456783 | + | 0.660044i | ||||
\(889\) | −38.8310 | − | 8.25378i | −1.30235 | − | 0.276823i | ||||
\(890\) | 6.76092 | + | 5.34440i | 0.226626 | + | 0.179145i | ||||
\(891\) | 11.8358 | − | 25.6848i | 0.396513 | − | 0.860472i | ||||
\(892\) | 0.245466 | + | 0.178341i | 0.00821880 | + | 0.00597131i | ||||
\(893\) | −1.56653 | + | 2.71331i | −0.0524219 | + | 0.0907973i | ||||
\(894\) | 22.1686 | + | 29.0848i | 0.741429 | + | 0.972743i | ||||
\(895\) | −4.30629 | + | 29.4257i | −0.143943 | + | 0.983593i | ||||
\(896\) | −50.8501 | − | 22.6399i | −1.69878 | − | 0.756347i | ||||
\(897\) | 3.16237 | − | 16.7602i | 0.105588 | − | 0.559605i | ||||
\(898\) | −0.00374185 | 0.000795355i | −0.000124867 | 2.65414e-5i | ||||||
\(899\) | −26.6305 | −0.888178 | ||||||||
\(900\) | 0.0581035 | + | 0.202924i | 0.00193678 | + | 0.00676415i | ||||
\(901\) | −0.833958 | −0.0277832 | ||||||||
\(902\) | 10.5834 | + | 2.24956i | 0.352387 | + | 0.0749022i | ||||
\(903\) | −25.1069 | − | 21.5840i | −0.835504 | − | 0.718271i | ||||
\(904\) | −22.7640 | − | 10.1352i | −0.757118 | − | 0.337091i | ||||
\(905\) | −46.1456 | + | 7.86641i | −1.53393 | + | 0.261488i | ||||
\(906\) | 5.28020 | − | 12.6319i | 0.175423 | − | 0.419667i | ||||
\(907\) | 16.7448 | − | 29.0028i | 0.556002 | − | 0.963023i | −0.441823 | − | 0.897102i | \(-0.645668\pi\) |
0.997825 | − | 0.0659210i | \(-0.0209985\pi\) | |||||||
\(908\) | −0.0247147 | − | 0.0179563i | −0.000820185 | − | 0.000595900i | ||||
\(909\) | 3.39396 | + | 22.3631i | 0.112570 | + | 0.741739i | ||||
\(910\) | −6.26117 | − | 22.3134i | −0.207556 | − | 0.739683i | ||||
\(911\) | −33.2706 | − | 7.07188i | −1.10230 | − | 0.234302i | −0.379387 | − | 0.925238i | \(-0.623865\pi\) |
−0.722916 | + | 0.690936i | \(0.757199\pi\) | |||||||
\(912\) | 5.49779 | + | 11.6229i | 0.182050 | + | 0.384872i | ||||
\(913\) | −29.5979 | + | 6.29123i | −0.979548 | + | 0.208209i | ||||
\(914\) | 3.70495 | − | 4.11477i | 0.122549 | − | 0.136104i | ||||
\(915\) | 18.0857 | − | 23.9910i | 0.597895 | − | 0.793118i | ||||
\(916\) | 0.181762 | + | 0.201867i | 0.00600558 | + | 0.00666987i | ||||
\(917\) | −44.0924 | − | 32.0350i | −1.45606 | − | 1.05789i | ||||
\(918\) | −21.3146 | + | 3.73706i | −0.703486 | + | 0.123341i | ||||
\(919\) | −28.2156 | − | 20.4998i | −0.930745 | − | 0.676226i | 0.0154297 | − | 0.999881i | \(-0.495088\pi\) |
−0.946175 | + | 0.323655i | \(0.895088\pi\) | |||||||
\(920\) | 22.5973 | − | 35.7098i | 0.745012 | − | 1.17732i | ||||
\(921\) | −52.1497 | + | 18.2777i | −1.71839 | + | 0.602271i | ||||
\(922\) | −9.97905 | − | 4.44296i | −0.328642 | − | 0.146321i | ||||
\(923\) | −15.9683 | + | 17.7345i | −0.525601 | + | 0.583739i | ||||
\(924\) | 0.277123 | − | 0.261283i | 0.00911667 | − | 0.00859557i | ||||
\(925\) | −23.3078 | − | 6.97123i | −0.766355 | − | 0.229212i | ||||
\(926\) | −36.3541 | −1.19467 | ||||||||
\(927\) | 0.896998 | − | 0.234147i | 0.0294613 | − | 0.00769039i | ||||
\(928\) | −0.263226 | + | 0.191245i | −0.00864081 | + | 0.00627792i | ||||
\(929\) | 4.27446 | + | 40.6688i | 0.140240 | + | 1.33430i | 0.807674 | + | 0.589629i | \(0.200726\pi\) |
−0.667434 | + | 0.744669i | \(0.732607\pi\) | |||||||
\(930\) | 26.0020 | + | 24.2566i | 0.852640 | + | 0.795405i | ||||
\(931\) | −3.46414 | + | 32.9591i | −0.113533 | + | 1.08019i | ||||
\(932\) | −0.186941 | − | 0.323792i | −0.00612346 | − | 0.0106061i | ||||
\(933\) | −10.7222 | + | 25.6510i | −0.351030 | + | 0.839774i | ||||
\(934\) | 18.0434 | + | 20.0392i | 0.590398 | + | 0.655704i | ||||
\(935\) | −20.7473 | − | 0.842660i | −0.678508 | − | 0.0275579i | ||||
\(936\) | 12.1843 | − | 3.18051i | 0.398256 | − | 0.103958i | ||||
\(937\) | 9.99024 | − | 30.7468i | 0.326367 | − | 1.00445i | −0.644453 | − | 0.764644i | \(-0.722915\pi\) |
0.970820 | − | 0.239810i | \(-0.0770852\pi\) | |||||||
\(938\) | 53.5167 | + | 59.4363i | 1.74738 | + | 1.94066i | ||||
\(939\) | −6.77104 | − | 3.70476i | −0.220965 | − | 0.120900i | ||||
\(940\) | 0.0244970 | + | 0.0467111i | 0.000799005 | + | 0.00152355i | ||||
\(941\) | −6.59671 | + | 1.40217i | −0.215047 | + | 0.0457096i | −0.314175 | − | 0.949365i | \(-0.601728\pi\) |
0.0991284 | + | 0.995075i | \(0.468395\pi\) | |||||||
\(942\) | 22.7436 | + | 29.8392i | 0.741027 | + | 0.972215i | ||||
\(943\) | −8.13465 | + | 14.0896i | −0.264901 | + | 0.458822i | ||||
\(944\) | −9.71980 | − | 7.06185i | −0.316353 | − | 0.229844i | ||||
\(945\) | 55.4359 | + | 16.2960i | 1.80333 | + | 0.530109i | ||||
\(946\) | −13.7706 | + | 10.0049i | −0.447721 | + | 0.325288i | ||||
\(947\) | −5.50695 | − | 52.3951i | −0.178952 | − | 1.70261i | −0.603628 | − | 0.797266i | \(-0.706279\pi\) |
0.424676 | − | 0.905345i | \(-0.360388\pi\) | |||||||
\(948\) | 0.00453189 | + | 0.197448i | 0.000147189 | + | 0.00641281i | ||||
\(949\) | 4.88059 | + | 8.45343i | 0.158431 | + | 0.274410i | ||||
\(950\) | −9.57696 | + | 9.04015i | −0.310718 | + | 0.293301i | ||||
\(951\) | 18.3860 | − | 17.3351i | 0.596207 | − | 0.562128i | ||||
\(952\) | −40.8009 | − | 8.67251i | −1.32237 | − | 0.281078i | ||||
\(953\) | 35.1915 | − | 25.5681i | 1.13996 | − | 0.828232i | 0.152849 | − | 0.988249i | \(-0.451155\pi\) |
0.987114 | + | 0.160017i | \(0.0511551\pi\) | |||||||
\(954\) | 0.548494 | − | 1.05949i | 0.0177581 | − | 0.0343024i | ||||
\(955\) | −10.8371 | − | 0.440152i | −0.350679 | − | 0.0142430i | ||||
\(956\) | 0.0949323 | − | 0.0422666i | 0.00307033 | − | 0.00136700i | ||||
\(957\) | 5.12335 | + | 21.6483i | 0.165615 | + | 0.699789i | ||||
\(958\) | −1.60921 | + | 15.3106i | −0.0519912 | + | 0.494663i | ||||
\(959\) | 33.4734 | − | 7.11498i | 1.08091 | − | 0.229755i | ||||
\(960\) | 30.9655 | + | 3.80811i | 0.999408 | + | 0.122906i | ||||
\(961\) | −11.1981 | − | 2.38022i | −0.361227 | − | 0.0767813i | ||||
\(962\) | −3.13354 | + | 9.64405i | −0.101029 | + | 0.310937i | ||||
\(963\) | 24.8636 | − | 19.8694i | 0.801218 | − | 0.640284i | ||||
\(964\) | 0.0613056 | + | 0.188679i | 0.00197452 | + | 0.00607695i | ||||
\(965\) | 7.67708 | + | 1.96055i | 0.247134 | + | 0.0631122i | ||||
\(966\) | −34.5598 | − | 73.0629i | −1.11194 | − | 2.35076i | ||||
\(967\) | 1.16620 | − | 11.0956i | 0.0375024 | − | 0.356812i | −0.959638 | − | 0.281239i | \(-0.909255\pi\) |
0.997140 | − | 0.0755731i | \(-0.0240786\pi\) | |||||||
\(968\) | 1.59797 | + | 2.76777i | 0.0513608 | + | 0.0889595i | ||||
\(969\) | 5.79944 | + | 7.60876i | 0.186305 | + | 0.244429i | ||||
\(970\) | 19.7703 | + | 23.8353i | 0.634787 | + | 0.765306i | ||||
\(971\) | −36.1891 | + | 26.2929i | −1.16136 | + | 0.843781i | −0.989950 | − | 0.141418i | \(-0.954834\pi\) |
−0.171415 | + | 0.985199i | \(0.554834\pi\) | |||||||
\(972\) | −0.0656918 | + | 0.209292i | −0.00210706 | + | 0.00671306i | ||||
\(973\) | 11.6205 | + | 35.7643i | 0.372537 | + | 1.14655i | ||||
\(974\) | −20.4108 | + | 35.3525i | −0.654003 | + | 1.13277i | ||||
\(975\) | 6.91224 | + | 10.7821i | 0.221369 | + | 0.345305i | ||||
\(976\) | −15.4049 | − | 26.6820i | −0.493098 | − | 0.854071i | ||||
\(977\) | −16.3372 | + | 18.1442i | −0.522672 | + | 0.580486i | −0.945458 | − | 0.325743i | \(-0.894385\pi\) |
0.422786 | + | 0.906229i | \(0.361052\pi\) | |||||||
\(978\) | −9.80439 | + | 51.9620i | −0.313510 | + | 1.66156i | ||||
\(979\) | 0.898314 | + | 8.54689i | 0.0287103 | + | 0.273160i | ||||
\(980\) | 0.437689 | + | 0.345986i | 0.0139815 | + | 0.0110521i | ||||
\(981\) | −9.32231 | − | 24.7627i | −0.297639 | − | 0.790611i | ||||
\(982\) | 34.4998 | 1.10093 | ||||||||
\(983\) | 25.2361 | − | 11.2358i | 0.804907 | − | 0.358368i | 0.0373129 | − | 0.999304i | \(-0.488120\pi\) |
0.767595 | + | 0.640936i | \(0.221454\pi\) | |||||||
\(984\) | −11.9717 | − | 0.981129i | −0.381643 | − | 0.0312772i | ||||
\(985\) | −6.94085 | + | 47.4282i | −0.221154 | + | 1.51119i | ||||
\(986\) | 11.3902 | − | 12.6501i | 0.362737 | − | 0.402860i | ||||
\(987\) | 14.3903 | + | 1.17935i | 0.458049 | + | 0.0375391i | ||||
\(988\) | −0.0260271 | − | 0.0289061i | −0.000828033 | − | 0.000919624i | ||||
\(989\) | −7.90911 | − | 24.3417i | −0.251495 | − | 0.774023i | ||||
\(990\) | 14.7160 | − | 25.8040i | 0.467706 | − | 0.820104i | ||||
\(991\) | −10.4706 | + | 32.2253i | −0.332610 | + | 1.02367i | 0.635277 | + | 0.772284i | \(0.280886\pi\) |
−0.967887 | + | 0.251385i | \(0.919114\pi\) | |||||||
\(992\) | −0.473784 | + | 0.210942i | −0.0150427 | + | 0.00669743i | ||||
\(993\) | 29.7306 | − | 28.0313i | 0.943473 | − | 0.889545i | ||||
\(994\) | −11.8209 | + | 112.468i | −0.374935 | + | 3.56726i | ||||
\(995\) | 29.5930 | − | 30.2978i | 0.938162 | − | 0.960505i | ||||
\(996\) | 0.221496 | − | 0.0776312i | 0.00701837 | − | 0.00245984i | ||||
\(997\) | −1.53221 | − | 14.5780i | −0.0485255 | − | 0.461689i | −0.991622 | − | 0.129171i | \(-0.958768\pi\) |
0.943097 | − | 0.332518i | \(-0.107898\pi\) | |||||||
\(998\) | 11.1093 | + | 34.1909i | 0.351659 | + | 1.08229i | ||||
\(999\) | −16.2324 | − | 19.3831i | −0.513571 | − | 0.613256i |
(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 | 225.2.q.a.106.20 | yes | 224 | |
3.2 | odd | 2 | 675.2.r.a.181.9 | 224 | |||
9.4 | even | 3 | inner | 225.2.q.a.31.9 | ✓ | 224 | |
9.5 | odd | 6 | 675.2.r.a.631.20 | 224 | |||
25.21 | even | 5 | inner | 225.2.q.a.196.9 | yes | 224 | |
75.71 | odd | 10 | 675.2.r.a.46.20 | 224 | |||
225.121 | even | 15 | inner | 225.2.q.a.121.20 | yes | 224 | |
225.221 | odd | 30 | 675.2.r.a.496.9 | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.q.a.31.9 | ✓ | 224 | 9.4 | even | 3 | inner | |
225.2.q.a.106.20 | yes | 224 | 1.1 | even | 1 | trivial | |
225.2.q.a.121.20 | yes | 224 | 225.121 | even | 15 | inner | |
225.2.q.a.196.9 | yes | 224 | 25.21 | even | 5 | inner | |
675.2.r.a.46.20 | 224 | 75.71 | odd | 10 | |||
675.2.r.a.181.9 | 224 | 3.2 | odd | 2 | |||
675.2.r.a.496.9 | 224 | 225.221 | odd | 30 | |||
675.2.r.a.631.20 | 224 | 9.5 | odd | 6 |