Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(4,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.e (of order \(29\), degree \(28\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(140\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 4.2 | ||
Character | \(\chi\) | \(=\) | 177.4 |
Dual form | 177.2.e.b.133.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{1}{29}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.756070 | − | 0.0822276i | −0.534622 | − | 0.0581437i | −0.163174 | − | 0.986597i | \(-0.552173\pi\) |
−0.371448 | + | 0.928454i | \(0.621139\pi\) | |||||||
\(3\) | −0.647386 | + | 0.762162i | −0.373769 | + | 0.440034i | ||||
\(4\) | −1.38836 | − | 0.305601i | −0.694180 | − | 0.152801i | ||||
\(5\) | −0.128718 | − | 0.0978487i | −0.0575644 | − | 0.0437593i | 0.575996 | − | 0.817452i | \(-0.304614\pi\) |
−0.633561 | + | 0.773693i | \(0.718407\pi\) | |||||||
\(6\) | 0.552140 | − | 0.523015i | 0.225410 | − | 0.213520i | ||||
\(7\) | 1.18304 | − | 2.96921i | 0.447147 | − | 1.12225i | −0.516787 | − | 0.856114i | \(-0.672872\pi\) |
0.963934 | − | 0.266141i | \(-0.0857485\pi\) | |||||||
\(8\) | 2.46600 | + | 0.830893i | 0.871864 | + | 0.293765i | ||||
\(9\) | −0.161782 | − | 0.986827i | −0.0539273 | − | 0.328942i | ||||
\(10\) | 0.0892739 | + | 0.0845647i | 0.0282309 | + | 0.0267417i | ||||
\(11\) | 3.21368 | − | 1.48680i | 0.968960 | − | 0.448288i | 0.129422 | − | 0.991590i | \(-0.458688\pi\) |
0.839538 | + | 0.543301i | \(0.182826\pi\) | |||||||
\(12\) | 1.13172 | − | 0.860313i | 0.326700 | − | 0.248351i | ||||
\(13\) | 0.653255 | − | 3.98468i | 0.181180 | − | 1.10515i | −0.727020 | − | 0.686616i | \(-0.759095\pi\) |
0.908201 | − | 0.418535i | \(-0.137456\pi\) | |||||||
\(14\) | −1.13861 | + | 2.14765i | −0.304307 | + | 0.573984i | ||||
\(15\) | 0.157907 | − | 0.0347579i | 0.0407713 | − | 0.00897445i | ||||
\(16\) | 0.784261 | + | 0.362838i | 0.196065 | + | 0.0907095i | ||||
\(17\) | 0.702422 | + | 1.76295i | 0.170362 | + | 0.427577i | 0.989223 | − | 0.146415i | \(-0.0467734\pi\) |
−0.818861 | + | 0.573992i | \(0.805394\pi\) | |||||||
\(18\) | 0.0411742 | + | 0.759413i | 0.00970485 | + | 0.178995i | ||||
\(19\) | −2.07230 | − | 3.05641i | −0.475418 | − | 0.701189i | 0.512059 | − | 0.858950i | \(-0.328883\pi\) |
−0.987477 | + | 0.157761i | \(0.949572\pi\) | |||||||
\(20\) | 0.148804 | + | 0.175186i | 0.0332736 | + | 0.0391727i | ||||
\(21\) | 1.49713 | + | 2.82389i | 0.326701 | + | 0.616224i | ||||
\(22\) | −2.55202 | + | 0.859876i | −0.544093 | + | 0.183326i | ||||
\(23\) | −0.0779331 | + | 1.43739i | −0.0162502 | + | 0.299717i | 0.979099 | + | 0.203384i | \(0.0651940\pi\) |
−0.995349 | + | 0.0963327i | \(0.969289\pi\) | |||||||
\(24\) | −2.22973 | + | 1.34159i | −0.455142 | + | 0.273850i | ||||
\(25\) | −1.33065 | − | 4.79256i | −0.266130 | − | 0.958512i | ||||
\(26\) | −0.821557 | + | 2.95898i | −0.161121 | + | 0.580304i | ||||
\(27\) | 0.856857 | + | 0.515554i | 0.164902 | + | 0.0992184i | ||||
\(28\) | −2.54988 | + | 3.76079i | −0.481882 | + | 0.710722i | ||||
\(29\) | −0.693292 | + | 0.0754000i | −0.128741 | + | 0.0140014i | −0.172263 | − | 0.985051i | \(-0.555108\pi\) |
0.0435216 | + | 0.999052i | \(0.486142\pi\) | |||||||
\(30\) | −0.122247 | + | 0.0132951i | −0.0223191 | + | 0.00242735i | ||||
\(31\) | 0.294127 | − | 0.433805i | 0.0528267 | − | 0.0779136i | −0.800358 | − | 0.599522i | \(-0.795357\pi\) |
0.853185 | + | 0.521608i | \(0.174668\pi\) | |||||||
\(32\) | −5.02259 | − | 3.02199i | −0.887876 | − | 0.534217i | ||||
\(33\) | −0.947303 | + | 3.41188i | −0.164904 | + | 0.593932i | ||||
\(34\) | −0.386118 | − | 1.39067i | −0.0662186 | − | 0.238498i | ||||
\(35\) | −0.442811 | + | 0.266431i | −0.0748488 | + | 0.0450350i | ||||
\(36\) | −0.0769637 | + | 1.41951i | −0.0128273 | + | 0.236585i | ||||
\(37\) | −1.54938 | + | 0.522048i | −0.254717 | + | 0.0858241i | −0.443763 | − | 0.896144i | \(-0.646357\pi\) |
0.189046 | + | 0.981968i | \(0.439460\pi\) | |||||||
\(38\) | 1.31548 | + | 2.48126i | 0.213399 | + | 0.402514i | ||||
\(39\) | 2.61406 | + | 3.07751i | 0.418585 | + | 0.492796i | ||||
\(40\) | −0.236117 | − | 0.348246i | −0.0373333 | − | 0.0550626i | ||||
\(41\) | 0.240369 | + | 4.43335i | 0.0375394 | + | 0.692373i | 0.955372 | + | 0.295405i | \(0.0954547\pi\) |
−0.917833 | + | 0.396968i | \(0.870063\pi\) | |||||||
\(42\) | −0.899736 | − | 2.25817i | −0.138832 | − | 0.348443i | ||||
\(43\) | 6.48573 | + | 3.00062i | 0.989064 | + | 0.457590i | 0.846611 | − | 0.532212i | \(-0.178639\pi\) |
0.142453 | + | 0.989802i | \(0.454501\pi\) | |||||||
\(44\) | −4.91611 | + | 1.08212i | −0.741131 | + | 0.163135i | ||||
\(45\) | −0.0757355 | + | 0.142852i | −0.0112900 | + | 0.0212952i | ||||
\(46\) | 0.177116 | − | 1.08036i | 0.0261144 | − | 0.159291i | ||||
\(47\) | 4.38426 | − | 3.33283i | 0.639511 | − | 0.486143i | −0.234458 | − | 0.972126i | \(-0.575331\pi\) |
0.873968 | + | 0.485983i | \(0.161538\pi\) | |||||||
\(48\) | −0.784261 | + | 0.362838i | −0.113198 | + | 0.0523712i | ||||
\(49\) | −2.33463 | − | 2.21148i | −0.333519 | − | 0.315926i | ||||
\(50\) | 0.611983 | + | 3.73293i | 0.0865474 | + | 0.527916i | ||||
\(51\) | −1.79839 | − | 0.605948i | −0.251825 | − | 0.0848497i | ||||
\(52\) | −2.12468 | + | 5.33253i | −0.294639 | + | 0.739489i | ||||
\(53\) | −5.47308 | + | 5.18438i | −0.751786 | + | 0.712129i | −0.964237 | − | 0.265043i | \(-0.914614\pi\) |
0.212451 | + | 0.977172i | \(0.431855\pi\) | |||||||
\(54\) | −0.605452 | − | 0.460252i | −0.0823915 | − | 0.0626324i | ||||
\(55\) | −0.559139 | − | 0.123076i | −0.0753943 | − | 0.0165955i | ||||
\(56\) | 5.38447 | − | 6.33909i | 0.719531 | − | 0.847097i | ||||
\(57\) | 3.67106 | + | 0.399252i | 0.486244 | + | 0.0528822i | ||||
\(58\) | 0.530377 | 0.0696419 | ||||||||
\(59\) | −7.64969 | + | 0.694390i | −0.995905 | + | 0.0904018i | ||||
\(60\) | −0.229853 | −0.0296740 | ||||||||
\(61\) | −7.22006 | − | 0.785229i | −0.924434 | − | 0.100538i | −0.366495 | − | 0.930420i | \(-0.619442\pi\) |
−0.557939 | + | 0.829882i | \(0.688408\pi\) | |||||||
\(62\) | −0.258051 | + | 0.303801i | −0.0327725 | + | 0.0385828i | ||||
\(63\) | −3.12149 | − | 0.687091i | −0.393270 | − | 0.0865653i | ||||
\(64\) | 2.17309 | + | 1.65194i | 0.271636 | + | 0.206492i | ||||
\(65\) | −0.473981 | + | 0.448979i | −0.0587901 | + | 0.0556890i | ||||
\(66\) | 0.996779 | − | 2.50173i | 0.122695 | − | 0.307941i | ||||
\(67\) | 14.4582 | + | 4.87154i | 1.76635 | + | 0.595153i | 0.998941 | − | 0.0460043i | \(-0.0146488\pi\) |
0.767410 | + | 0.641157i | \(0.221545\pi\) | |||||||
\(68\) | −0.436456 | − | 2.66226i | −0.0529281 | − | 0.322847i | ||||
\(69\) | −1.04507 | − | 0.989945i | −0.125812 | − | 0.119175i | ||||
\(70\) | 0.356705 | − | 0.165029i | 0.0426343 | − | 0.0197248i | ||||
\(71\) | 12.6040 | − | 9.58134i | 1.49582 | − | 1.13710i | 0.540573 | − | 0.841297i | \(-0.318207\pi\) |
0.955250 | − | 0.295799i | \(-0.0955857\pi\) | |||||||
\(72\) | 0.420993 | − | 2.56794i | 0.0496145 | − | 0.302635i | ||||
\(73\) | −4.49753 | + | 8.48324i | −0.526396 | + | 0.992888i | 0.467649 | + | 0.883914i | \(0.345101\pi\) |
−0.994045 | + | 0.108974i | \(0.965244\pi\) | |||||||
\(74\) | 1.21437 | − | 0.267303i | 0.141168 | − | 0.0310733i | ||||
\(75\) | 4.51415 | + | 2.08847i | 0.521249 | + | 0.241156i | ||||
\(76\) | 1.94305 | + | 4.87670i | 0.222884 | + | 0.559396i | ||||
\(77\) | −0.612723 | − | 11.3010i | −0.0698263 | − | 1.28787i | ||||
\(78\) | −1.72336 | − | 2.54176i | −0.195132 | − | 0.287798i | ||||
\(79\) | −1.88904 | − | 2.22395i | −0.212533 | − | 0.250213i | 0.645557 | − | 0.763712i | \(-0.276625\pi\) |
−0.858091 | + | 0.513498i | \(0.828349\pi\) | |||||||
\(80\) | −0.0654452 | − | 0.123443i | −0.00731699 | − | 0.0138013i | ||||
\(81\) | −0.947653 | + | 0.319302i | −0.105295 | + | 0.0354779i | ||||
\(82\) | 0.182808 | − | 3.37169i | 0.0201877 | − | 0.372341i | ||||
\(83\) | 12.0246 | − | 7.23495i | 1.31987 | − | 0.794138i | 0.331100 | − | 0.943596i | \(-0.392580\pi\) |
0.988768 | + | 0.149457i | \(0.0477526\pi\) | |||||||
\(84\) | −1.21557 | − | 4.37810i | −0.132630 | − | 0.477690i | ||||
\(85\) | 0.0820878 | − | 0.295654i | 0.00890368 | − | 0.0320681i | ||||
\(86\) | −4.65693 | − | 2.80198i | −0.502170 | − | 0.302146i | ||||
\(87\) | 0.391361 | − | 0.577214i | 0.0419583 | − | 0.0618838i | ||||
\(88\) | 9.16031 | − | 0.996244i | 0.976492 | − | 0.106200i | ||||
\(89\) | −8.57791 | + | 0.932903i | −0.909256 | + | 0.0988876i | −0.550779 | − | 0.834651i | \(-0.685669\pi\) |
−0.358477 | + | 0.933539i | \(0.616704\pi\) | |||||||
\(90\) | 0.0690078 | − | 0.101779i | 0.00727406 | − | 0.0107284i | ||||
\(91\) | −11.0585 | − | 6.65368i | −1.15925 | − | 0.697495i | ||||
\(92\) | 0.547468 | − | 1.97180i | 0.0570775 | − | 0.205574i | ||||
\(93\) | 0.140216 | + | 0.505011i | 0.0145397 | + | 0.0523672i | ||||
\(94\) | −3.58886 | + | 2.15935i | −0.370163 | + | 0.222720i | ||||
\(95\) | −0.0323243 | + | 0.596187i | −0.00331640 | + | 0.0611675i | ||||
\(96\) | 5.55480 | − | 1.87163i | 0.566934 | − | 0.191022i | ||||
\(97\) | 2.76172 | + | 5.20915i | 0.280410 | + | 0.528909i | 0.983210 | − | 0.182478i | \(-0.0584119\pi\) |
−0.702800 | + | 0.711387i | \(0.748067\pi\) | |||||||
\(98\) | 1.58330 | + | 1.86401i | 0.159938 | + | 0.188293i | ||||
\(99\) | −1.98713 | − | 2.93080i | −0.199714 | − | 0.294557i | ||||
\(100\) | 0.382806 | + | 7.06045i | 0.0382806 | + | 0.706045i | ||||
\(101\) | −1.60011 | − | 4.01596i | −0.159217 | − | 0.399603i | 0.827628 | − | 0.561278i | \(-0.189690\pi\) |
−0.986844 | + | 0.161674i | \(0.948311\pi\) | |||||||
\(102\) | 1.30988 | + | 0.606016i | 0.129698 | + | 0.0600046i | ||||
\(103\) | 14.3336 | − | 3.15507i | 1.41233 | − | 0.310878i | 0.557671 | − | 0.830062i | \(-0.311695\pi\) |
0.854663 | + | 0.519184i | \(0.173764\pi\) | |||||||
\(104\) | 4.92177 | − | 9.28345i | 0.482619 | − | 0.910317i | ||||
\(105\) | 0.0836066 | − | 0.509978i | 0.00815917 | − | 0.0497687i | ||||
\(106\) | 4.56433 | − | 3.46972i | 0.443327 | − | 0.337009i | ||||
\(107\) | −18.5913 | + | 8.60124i | −1.79729 | + | 0.831513i | −0.839878 | + | 0.542775i | \(0.817374\pi\) |
−0.957408 | + | 0.288739i | \(0.906764\pi\) | |||||||
\(108\) | −1.03207 | − | 0.977631i | −0.0993112 | − | 0.0940726i | ||||
\(109\) | −1.94214 | − | 11.8466i | −0.186024 | − | 1.13469i | −0.900442 | − | 0.434976i | \(-0.856757\pi\) |
0.714419 | − | 0.699719i | \(-0.246691\pi\) | |||||||
\(110\) | 0.412628 | + | 0.139031i | 0.0393426 | + | 0.0132561i | ||||
\(111\) | 0.605164 | − | 1.51885i | 0.0574396 | − | 0.144163i | ||||
\(112\) | 2.00515 | − | 1.89938i | 0.189469 | − | 0.179475i | ||||
\(113\) | 2.71935 | + | 2.06719i | 0.255815 | + | 0.194465i | 0.725219 | − | 0.688518i | \(-0.241738\pi\) |
−0.469405 | + | 0.882983i | \(0.655531\pi\) | |||||||
\(114\) | −2.74275 | − | 0.603725i | −0.256882 | − | 0.0565440i | ||||
\(115\) | 0.150678 | − | 0.177392i | 0.0140508 | − | 0.0165419i | ||||
\(116\) | 0.985581 | + | 0.107188i | 0.0915089 | + | 0.00995219i | ||||
\(117\) | −4.03787 | −0.373301 | ||||||||
\(118\) | 5.84081 | + | 0.104009i | 0.537690 | + | 0.00957478i | ||||
\(119\) | 6.06554 | 0.556028 | ||||||||
\(120\) | 0.418279 | + | 0.0454906i | 0.0381835 | + | 0.00415270i | ||||
\(121\) | 0.995872 | − | 1.17243i | 0.0905338 | − | 0.106585i | ||||
\(122\) | 5.39431 | + | 1.18738i | 0.488378 | + | 0.107500i | ||||
\(123\) | −3.53454 | − | 2.68689i | −0.318699 | − | 0.242269i | ||||
\(124\) | −0.540925 | + | 0.512391i | −0.0485765 | + | 0.0460141i | ||||
\(125\) | −0.596900 | + | 1.49811i | −0.0533884 | + | 0.133995i | ||||
\(126\) | 2.30357 | + | 0.776162i | 0.205218 | + | 0.0691460i | ||||
\(127\) | 3.10466 | + | 18.9376i | 0.275494 | + | 1.68044i | 0.655295 | + | 0.755373i | \(0.272544\pi\) |
−0.379801 | + | 0.925068i | \(0.624007\pi\) | |||||||
\(128\) | 7.00387 | + | 6.63442i | 0.619061 | + | 0.586406i | ||||
\(129\) | −6.48573 | + | 3.00062i | −0.571036 | + | 0.264190i | ||||
\(130\) | 0.395282 | − | 0.300485i | 0.0346685 | − | 0.0263543i | ||||
\(131\) | −2.78024 | + | 16.9587i | −0.242911 | + | 1.48169i | 0.530447 | + | 0.847718i | \(0.322024\pi\) |
−0.773357 | + | 0.633970i | \(0.781424\pi\) | |||||||
\(132\) | 2.35787 | − | 4.44742i | 0.205226 | − | 0.387098i | ||||
\(133\) | −11.5267 | + | 2.53723i | −0.999494 | + | 0.220005i | ||||
\(134\) | −10.5308 | − | 4.87209i | −0.909726 | − | 0.420884i | ||||
\(135\) | −0.0598465 | − | 0.150203i | −0.00515077 | − | 0.0129274i | ||||
\(136\) | 0.267355 | + | 4.93107i | 0.0229255 | + | 0.422836i | ||||
\(137\) | 8.54051 | + | 12.5963i | 0.729665 | + | 1.07618i | 0.993745 | + | 0.111674i | \(0.0356213\pi\) |
−0.264080 | + | 0.964501i | \(0.585068\pi\) | |||||||
\(138\) | 0.708748 | + | 0.834402i | 0.0603326 | + | 0.0710290i | ||||
\(139\) | −1.28798 | − | 2.42938i | −0.109245 | − | 0.206058i | 0.822862 | − | 0.568241i | \(-0.192376\pi\) |
−0.932107 | + | 0.362184i | \(0.882031\pi\) | |||||||
\(140\) | 0.696203 | − | 0.234578i | 0.0588399 | − | 0.0198255i | ||||
\(141\) | −0.298155 | + | 5.49915i | −0.0251092 | + | 0.463112i | ||||
\(142\) | −10.3174 | + | 6.20777i | −0.865816 | + | 0.520944i | ||||
\(143\) | −3.82509 | − | 13.7767i | −0.319870 | − | 1.15207i | ||||
\(144\) | 0.231179 | − | 0.832631i | 0.0192649 | − | 0.0693859i | ||||
\(145\) | 0.0966168 | + | 0.0581324i | 0.00802359 | + | 0.00482763i | ||||
\(146\) | 4.09800 | − | 6.04410i | 0.339153 | − | 0.500214i | ||||
\(147\) | 3.19692 | − | 0.347686i | 0.263677 | − | 0.0286766i | ||||
\(148\) | 2.31064 | − | 0.251297i | 0.189933 | − | 0.0206565i | ||||
\(149\) | −9.74019 | + | 14.3657i | −0.797948 | + | 1.17688i | 0.183095 | + | 0.983095i | \(0.441388\pi\) |
−0.981043 | + | 0.193790i | \(0.937922\pi\) | |||||||
\(150\) | −3.24129 | − | 1.95022i | −0.264650 | − | 0.159235i | ||||
\(151\) | −4.03156 | + | 14.5204i | −0.328083 | + | 1.18165i | 0.597112 | + | 0.802158i | \(0.296315\pi\) |
−0.925195 | + | 0.379492i | \(0.876099\pi\) | |||||||
\(152\) | −2.57074 | − | 9.25898i | −0.208515 | − | 0.751003i | ||||
\(153\) | 1.62608 | − | 0.978382i | 0.131461 | − | 0.0790975i | ||||
\(154\) | −0.465994 | + | 8.59474i | −0.0375508 | + | 0.692584i | ||||
\(155\) | −0.0803066 | + | 0.0270584i | −0.00645038 | + | 0.00217339i | ||||
\(156\) | −2.68877 | − | 5.07155i | −0.215274 | − | 0.406049i | ||||
\(157\) | −5.61698 | − | 6.61283i | −0.448284 | − | 0.527761i | 0.490881 | − | 0.871227i | \(-0.336675\pi\) |
−0.939165 | + | 0.343466i | \(0.888399\pi\) | |||||||
\(158\) | 1.24537 | + | 1.83679i | 0.0990767 | + | 0.146127i | ||||
\(159\) | −0.408138 | − | 7.52767i | −0.0323675 | − | 0.596983i | ||||
\(160\) | 0.350798 | + | 0.880438i | 0.0277331 | + | 0.0696047i | ||||
\(161\) | 4.17571 | + | 1.93189i | 0.329092 | + | 0.152254i | ||||
\(162\) | 0.742748 | − | 0.163491i | 0.0583558 | − | 0.0128451i | ||||
\(163\) | 4.48762 | − | 8.46455i | 0.351498 | − | 0.662995i | −0.643216 | − | 0.765685i | \(-0.722400\pi\) |
0.994713 | + | 0.102690i | \(0.0327450\pi\) | |||||||
\(164\) | 1.02112 | − | 6.22854i | 0.0797359 | − | 0.486368i | ||||
\(165\) | 0.455783 | − | 0.346477i | 0.0354826 | − | 0.0269732i | ||||
\(166\) | −9.68634 | + | 4.48138i | −0.751805 | + | 0.347822i | ||||
\(167\) | 8.91051 | + | 8.44049i | 0.689516 | + | 0.653144i | 0.949970 | − | 0.312342i | \(-0.101113\pi\) |
−0.260454 | + | 0.965486i | \(0.583872\pi\) | |||||||
\(168\) | 1.34558 | + | 8.20769i | 0.103814 | + | 0.633237i | ||||
\(169\) | −3.13142 | − | 1.05510i | −0.240879 | − | 0.0811615i | ||||
\(170\) | −0.0863751 | + | 0.216785i | −0.00662467 | + | 0.0166267i | ||||
\(171\) | −2.68089 | + | 2.53947i | −0.205013 | + | 0.194198i | ||||
\(172\) | −8.08753 | − | 6.14798i | −0.616668 | − | 0.468779i | ||||
\(173\) | −7.46959 | − | 1.64418i | −0.567903 | − | 0.125005i | −0.0782677 | − | 0.996932i | \(-0.524939\pi\) |
−0.489635 | + | 0.871928i | \(0.662870\pi\) | |||||||
\(174\) | −0.343359 | + | 0.404233i | −0.0260300 | + | 0.0306449i | ||||
\(175\) | −15.8043 | − | 1.71882i | −1.19469 | − | 0.129931i | ||||
\(176\) | 3.05983 | 0.230643 | ||||||||
\(177\) | 4.42307 | − | 6.27985i | 0.332458 | − | 0.472022i | ||||
\(178\) | 6.56221 | 0.491859 | ||||||||
\(179\) | −19.4913 | − | 2.11981i | −1.45685 | − | 0.158442i | −0.654845 | − | 0.755763i | \(-0.727266\pi\) |
−0.802002 | + | 0.597321i | \(0.796232\pi\) | |||||||
\(180\) | 0.148804 | − | 0.175186i | 0.0110912 | − | 0.0130576i | ||||
\(181\) | 0.890582 | + | 0.196032i | 0.0661964 | + | 0.0145709i | 0.247945 | − | 0.968774i | \(-0.420245\pi\) |
−0.181749 | + | 0.983345i | \(0.558176\pi\) | |||||||
\(182\) | 7.81389 | + | 5.93997i | 0.579204 | + | 0.440300i | ||||
\(183\) | 5.27264 | − | 4.99451i | 0.389765 | − | 0.369205i | ||||
\(184\) | −1.38650 | + | 3.47986i | −0.102214 | + | 0.256539i | ||||
\(185\) | 0.250515 | + | 0.0844083i | 0.0184182 | + | 0.00620582i | ||||
\(186\) | −0.0644871 | − | 0.393354i | −0.00472842 | − | 0.0288421i | ||||
\(187\) | 4.87851 | + | 4.62117i | 0.356752 | + | 0.337934i | ||||
\(188\) | −7.10546 | + | 3.28733i | −0.518219 | + | 0.239753i | ||||
\(189\) | 2.54448 | − | 1.93426i | 0.185084 | − | 0.140697i | ||||
\(190\) | 0.0734624 | − | 0.448101i | 0.00532953 | − | 0.0325087i | ||||
\(191\) | 0.0586804 | − | 0.110683i | 0.00424596 | − | 0.00800874i | −0.881380 | − | 0.472408i | \(-0.843385\pi\) |
0.885626 | + | 0.464399i | \(0.153730\pi\) | |||||||
\(192\) | −2.66587 | + | 0.586802i | −0.192393 | + | 0.0423488i | ||||
\(193\) | 23.1750 | + | 10.7219i | 1.66817 | + | 0.771778i | 0.999604 | + | 0.0281268i | \(0.00895422\pi\) |
0.668567 | + | 0.743652i | \(0.266908\pi\) | |||||||
\(194\) | −1.65972 | − | 4.16557i | −0.119161 | − | 0.299071i | ||||
\(195\) | −0.0353457 | − | 0.651913i | −0.00253116 | − | 0.0466845i | ||||
\(196\) | 2.56548 | + | 3.78380i | 0.183249 | + | 0.270272i | ||||
\(197\) | 9.60323 | + | 11.3058i | 0.684201 | + | 0.805504i | 0.989157 | − | 0.146862i | \(-0.0469174\pi\) |
−0.304955 | + | 0.952367i | \(0.598642\pi\) | |||||||
\(198\) | 1.26142 | + | 2.37929i | 0.0896452 | + | 0.169089i | ||||
\(199\) | −0.360081 | + | 0.121325i | −0.0255255 | + | 0.00860053i | −0.332035 | − | 0.943267i | \(-0.607735\pi\) |
0.306510 | + | 0.951867i | \(0.400839\pi\) | |||||||
\(200\) | 0.700724 | − | 12.9241i | 0.0495487 | − | 0.913872i | ||||
\(201\) | −13.0729 | + | 7.86573i | −0.922094 | + | 0.554806i | ||||
\(202\) | 0.879570 | + | 3.16792i | 0.0618863 | + | 0.222894i | ||||
\(203\) | −0.596314 | + | 2.14773i | −0.0418530 | + | 0.150741i | ||||
\(204\) | 2.31163 | + | 1.39086i | 0.161847 | + | 0.0973799i | ||||
\(205\) | 0.402858 | − | 0.594171i | 0.0281368 | − | 0.0414987i | ||||
\(206\) | −11.0967 | + | 1.20683i | −0.773141 | + | 0.0840842i | ||||
\(207\) | 1.43106 | − | 0.155638i | 0.0994658 | − | 0.0108176i | ||||
\(208\) | 1.95812 | − | 2.88800i | 0.135771 | − | 0.200247i | ||||
\(209\) | −11.2040 | − | 6.74121i | −0.774996 | − | 0.466299i | ||||
\(210\) | −0.105147 | + | 0.378704i | −0.00725581 | + | 0.0261331i | ||||
\(211\) | −2.05115 | − | 7.38757i | −0.141207 | − | 0.508581i | 0.858786 | − | 0.512334i | \(-0.171219\pi\) |
−0.999993 | + | 0.00375319i | \(0.998805\pi\) | |||||||
\(212\) | 9.18296 | − | 5.52520i | 0.630688 | − | 0.379473i | ||||
\(213\) | −0.857147 | + | 15.8091i | −0.0587307 | + | 1.08322i | ||||
\(214\) | 14.7636 | − | 4.97443i | 1.00922 | − | 0.340045i | ||||
\(215\) | −0.541222 | − | 1.02085i | −0.0369110 | − | 0.0696216i | ||||
\(216\) | 1.68464 | + | 1.98331i | 0.114625 | + | 0.134947i | ||||
\(217\) | −0.940091 | − | 1.38653i | −0.0638176 | − | 0.0941239i | ||||
\(218\) | 0.494284 | + | 9.11653i | 0.0334771 | + | 0.617449i | ||||
\(219\) | −3.55396 | − | 8.91978i | −0.240155 | − | 0.602743i | ||||
\(220\) | 0.738674 | + | 0.341747i | 0.0498014 | + | 0.0230406i | ||||
\(221\) | 7.48363 | − | 1.64727i | 0.503404 | − | 0.110808i | ||||
\(222\) | −0.582438 | + | 1.09859i | −0.0390907 | + | 0.0737328i | ||||
\(223\) | 4.07693 | − | 24.8682i | 0.273011 | − | 1.66530i | −0.393139 | − | 0.919479i | \(-0.628611\pi\) |
0.666151 | − | 0.745817i | \(-0.267941\pi\) | |||||||
\(224\) | −14.9148 | + | 11.3380i | −0.996539 | + | 0.757549i | ||||
\(225\) | −4.51415 | + | 2.08847i | −0.300943 | + | 0.139231i | ||||
\(226\) | −1.88604 | − | 1.78655i | −0.125457 | − | 0.118839i | ||||
\(227\) | −2.63686 | − | 16.0841i | −0.175014 | − | 1.06754i | −0.917517 | − | 0.397697i | \(-0.869810\pi\) |
0.742503 | − | 0.669843i | \(-0.233639\pi\) | |||||||
\(228\) | −4.97474 | − | 1.67619i | −0.329460 | − | 0.111008i | ||||
\(229\) | 4.56117 | − | 11.4477i | 0.301411 | − | 0.756484i | −0.697782 | − | 0.716310i | \(-0.745830\pi\) |
0.999193 | − | 0.0401738i | \(-0.0127912\pi\) | |||||||
\(230\) | −0.128510 | + | 0.121731i | −0.00847370 | + | 0.00802671i | ||||
\(231\) | 9.00987 | + | 6.84913i | 0.592806 | + | 0.450639i | ||||
\(232\) | −1.77231 | − | 0.390115i | −0.116358 | − | 0.0256123i | ||||
\(233\) | 0.636233 | − | 0.749032i | 0.0416810 | − | 0.0490707i | −0.740927 | − | 0.671586i | \(-0.765613\pi\) |
0.782608 | + | 0.622515i | \(0.213889\pi\) | |||||||
\(234\) | 3.05291 | + | 0.332024i | 0.199575 | + | 0.0217051i | ||||
\(235\) | −0.890446 | −0.0580863 | ||||||||
\(236\) | 10.8327 | + | 1.37369i | 0.705151 | + | 0.0894198i | ||||
\(237\) | 2.91794 | 0.189541 | ||||||||
\(238\) | −4.58598 | − | 0.498755i | −0.297265 | − | 0.0323295i | ||||
\(239\) | 12.8510 | − | 15.1294i | 0.831261 | − | 0.978636i | −0.168714 | − | 0.985665i | \(-0.553961\pi\) |
0.999975 | + | 0.00702857i | \(0.00223728\pi\) | |||||||
\(240\) | 0.136452 | + | 0.0300353i | 0.00880792 | + | 0.00193877i | ||||
\(241\) | −1.73016 | − | 1.31523i | −0.111449 | − | 0.0847214i | 0.547965 | − | 0.836501i | \(-0.315403\pi\) |
−0.659414 | + | 0.751780i | \(0.729196\pi\) | |||||||
\(242\) | −0.849355 | + | 0.804552i | −0.0545986 | + | 0.0517186i | ||||
\(243\) | 0.370138 | − | 0.928977i | 0.0237444 | − | 0.0595939i | ||||
\(244\) | 9.78408 | + | 3.29664i | 0.626361 | + | 0.211046i | ||||
\(245\) | 0.0841182 | + | 0.513098i | 0.00537411 | + | 0.0327806i | ||||
\(246\) | 2.45143 | + | 2.32211i | 0.156297 | + | 0.148053i | ||||
\(247\) | −13.5326 | + | 6.26083i | −0.861056 | + | 0.398367i | ||||
\(248\) | 1.08576 | − | 0.825376i | 0.0689460 | − | 0.0524114i | ||||
\(249\) | −2.27034 | + | 13.8485i | −0.143877 | + | 0.877612i | ||||
\(250\) | 0.574484 | − | 1.08359i | 0.0363336 | − | 0.0685324i | ||||
\(251\) | 7.63928 | − | 1.68153i | 0.482187 | − | 0.106137i | 0.0327763 | − | 0.999463i | \(-0.489565\pi\) |
0.449410 | + | 0.893325i | \(0.351634\pi\) | |||||||
\(252\) | 4.12377 | + | 1.90786i | 0.259773 | + | 0.120184i | ||||
\(253\) | 1.88667 | + | 4.73518i | 0.118614 | + | 0.297698i | ||||
\(254\) | −0.790150 | − | 14.5735i | −0.0495784 | − | 0.914420i | ||||
\(255\) | 0.172193 | + | 0.253966i | 0.0107832 | + | 0.0159040i | ||||
\(256\) | −8.28421 | − | 9.75293i | −0.517763 | − | 0.609558i | ||||
\(257\) | 5.85502 | + | 11.0437i | 0.365226 | + | 0.688890i | 0.996217 | − | 0.0869005i | \(-0.0276962\pi\) |
−0.630991 | + | 0.775790i | \(0.717351\pi\) | |||||||
\(258\) | 5.15040 | − | 1.73537i | 0.320650 | − | 0.108039i | ||||
\(259\) | −0.282914 | + | 5.21804i | −0.0175794 | + | 0.324233i | ||||
\(260\) | 0.795265 | − | 0.478495i | 0.0493202 | − | 0.0296750i | ||||
\(261\) | 0.186569 | + | 0.671960i | 0.0115483 | + | 0.0415933i | ||||
\(262\) | 3.49653 | − | 12.5934i | 0.216016 | − | 0.778020i | ||||
\(263\) | 19.2736 | + | 11.5965i | 1.18846 | + | 0.715073i | 0.965665 | − | 0.259792i | \(-0.0836541\pi\) |
0.222796 | + | 0.974865i | \(0.428482\pi\) | |||||||
\(264\) | −5.17096 | + | 7.62660i | −0.318251 | + | 0.469385i | ||||
\(265\) | 1.21177 | − | 0.131788i | 0.0744383 | − | 0.00809565i | ||||
\(266\) | 8.92365 | − | 0.970505i | 0.547144 | − | 0.0595055i | ||||
\(267\) | 4.84219 | − | 7.14170i | 0.296338 | − | 0.437065i | ||||
\(268\) | −18.5844 | − | 11.1819i | −1.13523 | − | 0.683043i | ||||
\(269\) | −7.04148 | + | 25.3611i | −0.429327 | + | 1.54629i | 0.360377 | + | 0.932807i | \(0.382648\pi\) |
−0.789704 | + | 0.613488i | \(0.789766\pi\) | |||||||
\(270\) | 0.0328973 | + | 0.118485i | 0.00200207 | + | 0.00721079i | ||||
\(271\) | 6.33899 | − | 3.81404i | 0.385066 | − | 0.231687i | −0.309837 | − | 0.950790i | \(-0.600275\pi\) |
0.694904 | + | 0.719103i | \(0.255447\pi\) | |||||||
\(272\) | −0.0887814 | + | 1.63748i | −0.00538316 | + | 0.0992866i | ||||
\(273\) | 12.2303 | − | 4.12087i | 0.740212 | − | 0.249406i | ||||
\(274\) | −5.42146 | − | 10.2260i | −0.327522 | − | 0.617773i | ||||
\(275\) | −11.4019 | − | 13.4233i | −0.687559 | − | 0.809457i | ||||
\(276\) | 1.14841 | + | 1.69378i | 0.0691261 | + | 0.101953i | ||||
\(277\) | −1.18492 | − | 21.8546i | −0.0711950 | − | 1.31312i | −0.787928 | − | 0.615767i | \(-0.788846\pi\) |
0.716733 | − | 0.697348i | \(-0.245637\pi\) | |||||||
\(278\) | 0.774039 | + | 1.94269i | 0.0464238 | + | 0.116515i | ||||
\(279\) | −0.475674 | − | 0.220070i | −0.0284779 | − | 0.0131753i | ||||
\(280\) | −1.31335 | + | 0.289090i | −0.0784877 | + | 0.0172764i | ||||
\(281\) | 6.65268 | − | 12.5483i | 0.396866 | − | 0.748568i | −0.601883 | − | 0.798585i | \(-0.705582\pi\) |
0.998748 | + | 0.0500162i | \(0.0159273\pi\) | |||||||
\(282\) | 0.677608 | − | 4.13323i | 0.0403510 | − | 0.246130i | ||||
\(283\) | −10.3576 | + | 7.87364i | −0.615695 | + | 0.468039i | −0.865943 | − | 0.500142i | \(-0.833281\pi\) |
0.250248 | + | 0.968182i | \(0.419488\pi\) | |||||||
\(284\) | −20.4270 | + | 9.45054i | −1.21212 | + | 0.560786i | ||||
\(285\) | −0.433464 | − | 0.410599i | −0.0256762 | − | 0.0243218i | ||||
\(286\) | 1.75921 | + | 10.7307i | 0.104024 | + | 0.634520i | ||||
\(287\) | 13.4479 | + | 4.53112i | 0.793804 | + | 0.267464i | ||||
\(288\) | −2.16962 | + | 5.44533i | −0.127846 | + | 0.320869i | ||||
\(289\) | 9.72734 | − | 9.21423i | 0.572197 | − | 0.542013i | ||||
\(290\) | −0.0682690 | − | 0.0518967i | −0.00400889 | − | 0.00304748i | ||||
\(291\) | −5.75811 | − | 1.26746i | −0.337547 | − | 0.0742996i | ||||
\(292\) | 8.83668 | − | 10.4033i | 0.517127 | − | 0.608809i | ||||
\(293\) | −18.5266 | − | 2.01489i | −1.08234 | − | 0.117711i | −0.450472 | − | 0.892790i | \(-0.648744\pi\) |
−0.631864 | + | 0.775079i | \(0.717710\pi\) | |||||||
\(294\) | −2.44568 | −0.142635 | ||||||||
\(295\) | 1.05260 | + | 0.659133i | 0.0612846 | + | 0.0383762i | ||||
\(296\) | −4.25455 | −0.247291 | ||||||||
\(297\) | 3.52019 | + | 0.382844i | 0.204262 | + | 0.0222148i | ||||
\(298\) | 8.54553 | − | 10.0606i | 0.495029 | − | 0.582793i | ||||
\(299\) | 5.67663 | + | 1.24952i | 0.328288 | + | 0.0722617i | ||||
\(300\) | −5.62903 | − | 4.27908i | −0.324992 | − | 0.247053i | ||||
\(301\) | 16.5823 | − | 15.7076i | 0.955789 | − | 0.905371i | ||||
\(302\) | 4.24211 | − | 10.6469i | 0.244106 | − | 0.612661i | ||||
\(303\) | 4.09670 | + | 1.38034i | 0.235349 | + | 0.0792984i | ||||
\(304\) | −0.516242 | − | 3.14894i | −0.0296085 | − | 0.180604i | ||||
\(305\) | 0.852517 | + | 0.807547i | 0.0488150 | + | 0.0462400i | ||||
\(306\) | −1.30988 | + | 0.606016i | −0.0748810 | + | 0.0346437i | ||||
\(307\) | −24.5991 | + | 18.6997i | −1.40394 | + | 1.06725i | −0.416524 | + | 0.909125i | \(0.636752\pi\) |
−0.987419 | + | 0.158125i | \(0.949455\pi\) | |||||||
\(308\) | −2.60292 | + | 15.8771i | −0.148315 | + | 0.904683i | ||||
\(309\) | −6.87472 | + | 12.9671i | −0.391089 | + | 0.737672i | ||||
\(310\) | 0.0629424 | − | 0.0138547i | 0.00357489 | − | 0.000786892i | ||||
\(311\) | −3.57618 | − | 1.65452i | −0.202786 | − | 0.0938190i | 0.315867 | − | 0.948803i | \(-0.397705\pi\) |
−0.518654 | + | 0.854984i | \(0.673567\pi\) | |||||||
\(312\) | 3.88920 | + | 9.76116i | 0.220183 | + | 0.552617i | ||||
\(313\) | −1.25775 | − | 23.1979i | −0.0710923 | − | 1.31122i | −0.788702 | − | 0.614776i | \(-0.789247\pi\) |
0.717610 | − | 0.696445i | \(-0.245236\pi\) | |||||||
\(314\) | 3.70308 | + | 5.46163i | 0.208977 | + | 0.308218i | ||||
\(315\) | 0.334560 | + | 0.393874i | 0.0188503 | + | 0.0221923i | ||||
\(316\) | 1.94302 | + | 3.66493i | 0.109304 | + | 0.206168i | ||||
\(317\) | 11.1468 | − | 3.75581i | 0.626069 | − | 0.210947i | 0.0116563 | − | 0.999932i | \(-0.496290\pi\) |
0.614413 | + | 0.788985i | \(0.289393\pi\) | |||||||
\(318\) | −0.310401 | + | 5.72501i | −0.0174064 | + | 0.321043i | ||||
\(319\) | −2.11591 | + | 1.27310i | −0.118468 | + | 0.0712799i | ||||
\(320\) | −0.118075 | − | 0.425267i | −0.00660059 | − | 0.0237732i | ||||
\(321\) | 5.48020 | − | 19.7379i | 0.305875 | − | 1.10166i | ||||
\(322\) | −2.99828 | − | 1.80400i | −0.167088 | − | 0.100533i | ||||
\(323\) | 3.93266 | − | 5.80024i | 0.218819 | − | 0.322734i | ||||
\(324\) | 1.41326 | − | 0.153702i | 0.0785146 | − | 0.00853898i | ||||
\(325\) | −19.9661 | + | 2.17144i | −1.10752 | + | 0.120450i | ||||
\(326\) | −4.08898 | + | 6.03079i | −0.226468 | + | 0.334015i | ||||
\(327\) | 10.2863 | + | 6.18907i | 0.568834 | + | 0.342256i | ||||
\(328\) | −3.09089 | + | 11.1324i | −0.170666 | + | 0.614683i | ||||
\(329\) | −4.70910 | − | 16.9607i | −0.259621 | − | 0.935071i | ||||
\(330\) | −0.373094 | + | 0.224483i | −0.0205381 | + | 0.0123574i | ||||
\(331\) | −1.35693 | + | 25.0270i | −0.0745834 | + | 1.37561i | 0.686582 | + | 0.727052i | \(0.259110\pi\) |
−0.761165 | + | 0.648558i | \(0.775372\pi\) | |||||||
\(332\) | −18.9054 | + | 6.36999i | −1.03757 | + | 0.349598i | ||||
\(333\) | 0.765833 | + | 1.44451i | 0.0419674 | + | 0.0791589i | ||||
\(334\) | −6.04293 | − | 7.11429i | −0.330655 | − | 0.389277i | ||||
\(335\) | −1.38435 | − | 2.04177i | −0.0756354 | − | 0.111554i | ||||
\(336\) | 0.149528 | + | 2.75789i | 0.00815743 | + | 0.150455i | ||||
\(337\) | 0.547441 | + | 1.37397i | 0.0298210 | + | 0.0748450i | 0.943133 | − | 0.332415i | \(-0.107864\pi\) |
−0.913312 | + | 0.407260i | \(0.866484\pi\) | |||||||
\(338\) | 2.28082 | + | 1.05522i | 0.124060 | + | 0.0573964i | ||||
\(339\) | −3.33600 | + | 0.734310i | −0.181187 | + | 0.0398822i | ||||
\(340\) | −0.204320 | + | 0.385388i | −0.0110808 | + | 0.0209006i | ||||
\(341\) | 0.300245 | − | 1.83142i | 0.0162592 | − | 0.0991767i | ||||
\(342\) | 2.23575 | − | 1.69958i | 0.120896 | − | 0.0919026i | ||||
\(343\) | 10.9773 | − | 5.07864i | 0.592719 | − | 0.274221i | ||||
\(344\) | 13.5006 | + | 12.7885i | 0.727905 | + | 0.689508i | ||||
\(345\) | 0.0376546 | + | 0.229683i | 0.00202725 | + | 0.0123657i | ||||
\(346\) | 5.51234 | + | 1.85732i | 0.296345 | + | 0.0998504i | ||||
\(347\) | 3.29051 | − | 8.25855i | 0.176644 | − | 0.443342i | −0.813820 | − | 0.581117i | \(-0.802616\pi\) |
0.990464 | + | 0.137775i | \(0.0439951\pi\) | |||||||
\(348\) | −0.719746 | + | 0.681780i | −0.0385825 | + | 0.0365472i | ||||
\(349\) | 5.05125 | + | 3.83986i | 0.270387 | + | 0.205543i | 0.731578 | − | 0.681758i | \(-0.238784\pi\) |
−0.461190 | + | 0.887301i | \(0.652577\pi\) | |||||||
\(350\) | 11.8078 | + | 2.59910i | 0.631155 | + | 0.138928i | ||||
\(351\) | 2.61406 | − | 3.07751i | 0.139528 | − | 0.164265i | ||||
\(352\) | −20.6341 | − | 2.24409i | −1.09980 | − | 0.119610i | ||||
\(353\) | −20.7778 | −1.10589 | −0.552944 | − | 0.833218i | \(-0.686496\pi\) | ||||
−0.552944 | + | 0.833218i | \(0.686496\pi\) | |||||||
\(354\) | −3.86053 | + | 4.38431i | −0.205185 | + | 0.233023i | ||||
\(355\) | −2.55989 | −0.135865 | ||||||||
\(356\) | 12.1943 | + | 1.32621i | 0.646298 | + | 0.0702891i | ||||
\(357\) | −3.92675 | + | 4.62293i | −0.207826 | + | 0.244671i | ||||
\(358\) | 14.5625 | + | 3.20544i | 0.769651 | + | 0.169413i | ||||
\(359\) | 14.2684 | + | 10.8466i | 0.753059 | + | 0.572460i | 0.909735 | − | 0.415190i | \(-0.136285\pi\) |
−0.156676 | + | 0.987650i | \(0.550078\pi\) | |||||||
\(360\) | −0.305459 | + | 0.289346i | −0.0160991 | + | 0.0152499i | ||||
\(361\) | 1.98539 | − | 4.98296i | 0.104494 | − | 0.262261i | ||||
\(362\) | −0.657223 | − | 0.221444i | −0.0345429 | − | 0.0116389i | ||||
\(363\) | 0.248869 | + | 1.51803i | 0.0130622 | + | 0.0796760i | ||||
\(364\) | 13.3198 | + | 12.6172i | 0.698148 | + | 0.661321i | ||||
\(365\) | 1.40899 | − | 0.651866i | 0.0737497 | − | 0.0341203i | ||||
\(366\) | −4.39717 | + | 3.34264i | −0.229844 | + | 0.174723i | ||||
\(367\) | −1.07365 | + | 6.54896i | −0.0560440 | + | 0.341853i | 0.943889 | + | 0.330263i | \(0.107138\pi\) |
−0.999933 | + | 0.0115899i | \(0.996311\pi\) | |||||||
\(368\) | −0.582660 | + | 1.09901i | −0.0303733 | + | 0.0572900i | ||||
\(369\) | 4.33606 | − | 0.954439i | 0.225726 | − | 0.0496861i | ||||
\(370\) | −0.182466 | − | 0.0844178i | −0.00948597 | − | 0.00438867i | ||||
\(371\) | 8.91861 | + | 22.3840i | 0.463031 | + | 1.16212i | ||||
\(372\) | −0.0403378 | − | 0.743988i | −0.00209142 | − | 0.0385740i | ||||
\(373\) | 3.79311 | + | 5.59443i | 0.196400 | + | 0.289668i | 0.913118 | − | 0.407694i | \(-0.133667\pi\) |
−0.716718 | + | 0.697363i | \(0.754357\pi\) | |||||||
\(374\) | −3.30851 | − | 3.89508i | −0.171079 | − | 0.201410i | ||||
\(375\) | −0.755375 | − | 1.42479i | −0.0390074 | − | 0.0735758i | ||||
\(376\) | 13.5808 | − | 4.57592i | 0.700378 | − | 0.235985i | ||||
\(377\) | −0.152451 | + | 2.81180i | −0.00785164 | + | 0.144815i | ||||
\(378\) | −2.08286 | + | 1.25321i | −0.107131 | + | 0.0644584i | ||||
\(379\) | 1.90299 | + | 6.85395i | 0.0977500 | + | 0.352064i | 0.996209 | − | 0.0869942i | \(-0.0277262\pi\) |
−0.898459 | + | 0.439058i | \(0.855312\pi\) | |||||||
\(380\) | 0.227073 | − | 0.817843i | 0.0116486 | − | 0.0419545i | ||||
\(381\) | −16.4434 | − | 9.89369i | −0.842423 | − | 0.506869i | ||||
\(382\) | −0.0534677 | + | 0.0788590i | −0.00273565 | + | 0.00403478i | ||||
\(383\) | −26.8508 | + | 2.92021i | −1.37201 | + | 0.149216i | −0.764259 | − | 0.644909i | \(-0.776895\pi\) |
−0.607755 | + | 0.794125i | \(0.707930\pi\) | |||||||
\(384\) | −9.59072 | + | 1.04305i | −0.489424 | + | 0.0532281i | ||||
\(385\) | −1.02692 | + | 1.51460i | −0.0523368 | + | 0.0771910i | ||||
\(386\) | −16.6403 | − | 10.0121i | −0.846968 | − | 0.509604i | ||||
\(387\) | 1.91181 | − | 6.88573i | 0.0971830 | − | 0.350021i | ||||
\(388\) | −2.24234 | − | 8.07616i | −0.113837 | − | 0.410005i | ||||
\(389\) | 15.8981 | − | 9.56558i | 0.806067 | − | 0.484994i | −0.0519292 | − | 0.998651i | \(-0.516537\pi\) |
0.857996 | + | 0.513657i | \(0.171709\pi\) | |||||||
\(390\) | −0.0268814 | + | 0.495799i | −0.00136119 | + | 0.0251057i | ||||
\(391\) | −2.58879 | + | 0.872263i | −0.130921 | + | 0.0441123i | ||||
\(392\) | −3.91971 | − | 7.39336i | −0.197975 | − | 0.373421i | ||||
\(393\) | −11.1254 | − | 13.0978i | −0.561202 | − | 0.660698i | ||||
\(394\) | −6.33107 | − | 9.33762i | −0.318955 | − | 0.470423i | ||||
\(395\) | 0.0255424 | + | 0.471101i | 0.00128518 | + | 0.0237037i | ||||
\(396\) | 1.86320 | + | 4.67628i | 0.0936293 | + | 0.234992i | ||||
\(397\) | 15.9250 | + | 7.36771i | 0.799255 | + | 0.369775i | 0.776620 | − | 0.629969i | \(-0.216932\pi\) |
0.0226348 | + | 0.999744i | \(0.492795\pi\) | |||||||
\(398\) | 0.282223 | − | 0.0621219i | 0.0141465 | − | 0.00311389i | ||||
\(399\) | 5.52847 | − | 10.4278i | 0.276770 | − | 0.522043i | ||||
\(400\) | 0.695347 | − | 4.24143i | 0.0347674 | − | 0.212071i | ||||
\(401\) | −14.8603 | + | 11.2965i | −0.742088 | + | 0.564120i | −0.906467 | − | 0.422277i | \(-0.861231\pi\) |
0.164379 | + | 0.986397i | \(0.447438\pi\) | |||||||
\(402\) | 10.5308 | − | 4.87209i | 0.525231 | − | 0.242998i | ||||
\(403\) | −1.53643 | − | 1.45539i | −0.0765351 | − | 0.0724979i | ||||
\(404\) | 0.994240 | + | 6.06460i | 0.0494653 | + | 0.301725i | ||||
\(405\) | 0.153223 | + | 0.0516269i | 0.00761372 | + | 0.00256536i | ||||
\(406\) | 0.627458 | − | 1.57480i | 0.0311402 | − | 0.0781560i | ||||
\(407\) | −4.20303 | + | 3.98132i | −0.208336 | + | 0.197347i | ||||
\(408\) | −3.93136 | − | 2.98854i | −0.194631 | − | 0.147955i | ||||
\(409\) | −26.9568 | − | 5.93363i | −1.33293 | − | 0.293399i | −0.509328 | − | 0.860572i | \(-0.670106\pi\) |
−0.823599 | + | 0.567173i | \(0.808037\pi\) | |||||||
\(410\) | −0.353446 | + | 0.416109i | −0.0174555 | + | 0.0205502i | ||||
\(411\) | −15.1294 | − | 1.64543i | −0.746280 | − | 0.0811628i | ||||
\(412\) | −20.8644 | −1.02792 | ||||||||
\(413\) | −6.98811 | + | 23.5350i | −0.343862 | + | 1.15808i | ||||
\(414\) | −1.09478 | −0.0538056 | ||||||||
\(415\) | −2.25571 | − | 0.245323i | −0.110728 | − | 0.0120424i | ||||
\(416\) | −15.3227 | + | 18.0393i | −0.751256 | + | 0.884447i | ||||
\(417\) | 2.68540 | + | 0.591102i | 0.131505 | + | 0.0289464i | ||||
\(418\) | 7.91669 | + | 6.01811i | 0.387218 | + | 0.294355i | ||||
\(419\) | −17.2972 | + | 16.3847i | −0.845022 | + | 0.800447i | −0.981753 | − | 0.190161i | \(-0.939099\pi\) |
0.136731 | + | 0.990608i | \(0.456340\pi\) | |||||||
\(420\) | −0.271926 | + | 0.682482i | −0.0132686 | + | 0.0333017i | ||||
\(421\) | 26.2648 | + | 8.84964i | 1.28007 | + | 0.431305i | 0.875507 | − | 0.483206i | \(-0.160528\pi\) |
0.404561 | + | 0.914511i | \(0.367424\pi\) | |||||||
\(422\) | 0.943350 | + | 5.75418i | 0.0459216 | + | 0.280109i | ||||
\(423\) | −3.99822 | − | 3.78732i | −0.194400 | − | 0.184146i | ||||
\(424\) | −17.8043 | + | 8.23715i | −0.864654 | + | 0.400031i | ||||
\(425\) | 7.51435 | − | 5.71226i | 0.364499 | − | 0.277085i | ||||
\(426\) | 1.94801 | − | 11.8823i | 0.0943815 | − | 0.575701i | ||||
\(427\) | −10.8731 | + | 20.5089i | −0.526188 | + | 0.992495i | ||||
\(428\) | 28.4399 | − | 6.26010i | 1.37470 | − | 0.302593i | ||||
\(429\) | 12.9764 | + | 6.00352i | 0.626507 | + | 0.289853i | ||||
\(430\) | 0.325260 | + | 0.816340i | 0.0156854 | + | 0.0393674i | ||||
\(431\) | −2.07869 | − | 38.3391i | −0.100127 | − | 1.84673i | −0.430150 | − | 0.902757i | \(-0.641539\pi\) |
0.330024 | − | 0.943973i | \(-0.392943\pi\) | |||||||
\(432\) | 0.484938 | + | 0.715229i | 0.0233316 | + | 0.0344115i | ||||
\(433\) | 18.5233 | + | 21.8074i | 0.890175 | + | 1.04799i | 0.998547 | + | 0.0538845i | \(0.0171603\pi\) |
−0.108372 | + | 0.994110i | \(0.534564\pi\) | |||||||
\(434\) | 0.596764 | + | 1.12562i | 0.0286456 | + | 0.0540313i | ||||
\(435\) | −0.106855 | + | 0.0360035i | −0.00512329 | + | 0.00172624i | ||||
\(436\) | −0.923926 | + | 17.0408i | −0.0442480 | + | 0.816107i | ||||
\(437\) | 4.55476 | − | 2.74051i | 0.217884 | − | 0.131096i | ||||
\(438\) | 1.95360 | + | 7.03621i | 0.0933464 | + | 0.336203i | ||||
\(439\) | 0.867413 | − | 3.12414i | 0.0413994 | − | 0.149107i | −0.939962 | − | 0.341280i | \(-0.889140\pi\) |
0.981361 | + | 0.192173i | \(0.0615534\pi\) | |||||||
\(440\) | −1.27658 | − | 0.768091i | −0.0608584 | − | 0.0366173i | ||||
\(441\) | −1.80465 | + | 2.66166i | −0.0859356 | + | 0.126746i | ||||
\(442\) | −5.79360 | + | 0.630092i | −0.275574 | + | 0.0299704i | ||||
\(443\) | 11.6401 | − | 1.26594i | 0.553038 | − | 0.0601465i | 0.172667 | − | 0.984980i | \(-0.444762\pi\) |
0.380372 | + | 0.924834i | \(0.375796\pi\) | |||||||
\(444\) | −1.30435 | + | 1.92377i | −0.0619016 | + | 0.0912980i | ||||
\(445\) | 1.19541 | + | 0.719256i | 0.0566680 | + | 0.0340960i | ||||
\(446\) | −5.12730 | + | 18.4669i | −0.242785 | + | 0.874431i | ||||
\(447\) | −4.64333 | − | 16.7238i | −0.219622 | − | 0.791007i | ||||
\(448\) | 7.47579 | − | 4.49803i | 0.353198 | − | 0.212512i | ||||
\(449\) | 0.0993852 | − | 1.83305i | 0.00469028 | − | 0.0865070i | −0.995251 | − | 0.0973416i | \(-0.968966\pi\) |
0.999941 | + | 0.0108346i | \(0.00344882\pi\) | |||||||
\(450\) | 3.58475 | − | 1.20784i | 0.168987 | − | 0.0569382i | ||||
\(451\) | 7.36399 | + | 13.8900i | 0.346757 | + | 0.654053i | ||||
\(452\) | −3.14369 | − | 3.70104i | −0.147867 | − | 0.174082i | ||||
\(453\) | −8.45689 | − | 12.4730i | −0.397339 | − | 0.586032i | ||||
\(454\) | 0.671091 | + | 12.3775i | 0.0314958 | + | 0.580907i | ||||
\(455\) | 0.772372 | + | 1.93851i | 0.0362094 | + | 0.0908787i | ||||
\(456\) | 8.72111 | + | 4.03482i | 0.408403 | + | 0.188948i | ||||
\(457\) | −28.4700 | + | 6.26673i | −1.33177 | + | 0.293145i | −0.823140 | − | 0.567838i | \(-0.807780\pi\) |
−0.508633 | + | 0.860984i | \(0.669849\pi\) | |||||||
\(458\) | −4.38988 | + | 8.28020i | −0.205126 | + | 0.386908i | ||||
\(459\) | −0.307018 | + | 1.87273i | −0.0143304 | + | 0.0874115i | ||||
\(460\) | −0.263407 | + | 0.200237i | −0.0122814 | + | 0.00933609i | ||||
\(461\) | −7.48814 | + | 3.46438i | −0.348758 | + | 0.161352i | −0.586445 | − | 0.809989i | \(-0.699473\pi\) |
0.237687 | + | 0.971342i | \(0.423611\pi\) | |||||||
\(462\) | −6.24891 | − | 5.91928i | −0.290726 | − | 0.275390i | ||||
\(463\) | 0.760225 | + | 4.63717i | 0.0353306 | + | 0.215507i | 0.998591 | − | 0.0530610i | \(-0.0168978\pi\) |
−0.963261 | + | 0.268568i | \(0.913449\pi\) | |||||||
\(464\) | −0.571080 | − | 0.192419i | −0.0265117 | − | 0.00893284i | ||||
\(465\) | 0.0313665 | − | 0.0787239i | 0.00145458 | − | 0.00365073i | ||||
\(466\) | −0.542628 | + | 0.514005i | −0.0251368 | + | 0.0238108i | ||||
\(467\) | 5.18060 | + | 3.93819i | 0.239730 | + | 0.182238i | 0.718140 | − | 0.695899i | \(-0.244994\pi\) |
−0.478410 | + | 0.878136i | \(0.658787\pi\) | |||||||
\(468\) | 5.60602 | + | 1.23398i | 0.259138 | + | 0.0570407i | ||||
\(469\) | 31.5692 | − | 37.1662i | 1.45773 | − | 1.71617i | ||||
\(470\) | 0.673240 | + | 0.0732193i | 0.0310543 | + | 0.00337735i | ||||
\(471\) | 8.67640 | 0.399788 | ||||||||
\(472\) | −19.4411 | − | 4.64371i | −0.894851 | − | 0.213744i | ||||
\(473\) | 25.3043 | 1.16349 | ||||||||
\(474\) | −2.20617 | − | 0.239936i | −0.101333 | − | 0.0110206i | ||||
\(475\) | −11.8905 | + | 13.9986i | −0.545575 | + | 0.642301i | ||||
\(476\) | −8.42116 | − | 1.85364i | −0.385983 | − | 0.0849613i | ||||
\(477\) | 6.00153 | + | 4.56224i | 0.274791 | + | 0.208891i | ||||
\(478\) | −10.9603 | + | 10.3821i | −0.501313 | + | 0.474868i | ||||
\(479\) | 8.22295 | − | 20.6380i | 0.375716 | − | 0.942976i | −0.612577 | − | 0.790411i | \(-0.709867\pi\) |
0.988293 | − | 0.152565i | \(-0.0487535\pi\) | |||||||
\(480\) | −0.898138 | − | 0.302618i | −0.0409942 | − | 0.0138126i | ||||
\(481\) | 1.06805 | + | 6.51482i | 0.0486989 | + | 0.297050i | ||||
\(482\) | 1.19997 | + | 1.13667i | 0.0546572 | + | 0.0517740i | ||||
\(483\) | −4.17571 | + | 1.93189i | −0.190002 | + | 0.0879041i | ||||
\(484\) | −1.74092 | + | 1.32342i | −0.0791330 | + | 0.0601553i | ||||
\(485\) | 0.154227 | − | 0.940741i | 0.00700307 | − | 0.0427168i | ||||
\(486\) | −0.356238 | + | 0.671936i | −0.0161593 | + | 0.0304796i | ||||
\(487\) | −11.3083 | + | 2.48914i | −0.512427 | + | 0.112794i | −0.463654 | − | 0.886016i | \(-0.653462\pi\) |
−0.0487728 | + | 0.998810i | \(0.515531\pi\) | |||||||
\(488\) | −17.1523 | − | 7.93548i | −0.776446 | − | 0.359222i | ||||
\(489\) | 3.54614 | + | 8.90013i | 0.160362 | + | 0.402478i | ||||
\(490\) | −0.0214084 | − | 0.394855i | −0.000967134 | − | 0.0178377i | ||||
\(491\) | −16.9364 | − | 24.9794i | −0.764331 | − | 1.12730i | −0.988272 | − | 0.152701i | \(-0.951203\pi\) |
0.223941 | − | 0.974603i | \(-0.428108\pi\) | |||||||
\(492\) | 4.08610 | + | 4.81053i | 0.184216 | + | 0.216875i | ||||
\(493\) | −0.619909 | − | 1.16927i | −0.0279193 | − | 0.0526614i | ||||
\(494\) | 10.7464 | − | 3.62088i | 0.483502 | − | 0.162911i | ||||
\(495\) | −0.0309959 | + | 0.571685i | −0.00139316 | + | 0.0256953i | ||||
\(496\) | 0.388073 | − | 0.233496i | 0.0174250 | − | 0.0104843i | ||||
\(497\) | −13.5379 | − | 48.7591i | −0.607257 | − | 2.18714i | ||||
\(498\) | 2.85527 | − | 10.2837i | 0.127948 | − | 0.460825i | ||||
\(499\) | 36.0238 | + | 21.6748i | 1.61265 | + | 0.970298i | 0.980755 | + | 0.195242i | \(0.0625491\pi\) |
0.631892 | + | 0.775056i | \(0.282278\pi\) | |||||||
\(500\) | 1.28654 | − | 1.89750i | 0.0575356 | − | 0.0848587i | ||||
\(501\) | −12.2016 | + | 1.32700i | −0.545126 | + | 0.0592860i | ||||
\(502\) | −5.91410 | + | 0.643197i | −0.263959 | + | 0.0287073i | ||||
\(503\) | 23.0026 | − | 33.9263i | 1.02564 | − | 1.51270i | 0.176658 | − | 0.984272i | \(-0.443471\pi\) |
0.848978 | − | 0.528428i | \(-0.177218\pi\) | |||||||
\(504\) | −7.12670 | − | 4.28799i | −0.317448 | − | 0.191002i | ||||
\(505\) | −0.186995 | + | 0.673495i | −0.00832116 | + | 0.0299701i | ||||
\(506\) | −1.03709 | − | 3.73527i | −0.0461043 | − | 0.166053i | ||||
\(507\) | 2.83140 | − | 1.70360i | 0.125747 | − | 0.0756594i | ||||
\(508\) | 1.47696 | − | 27.2410i | 0.0655297 | − | 1.20862i | ||||
\(509\) | 1.54935 | − | 0.522038i | 0.0686739 | − | 0.0231389i | −0.284755 | − | 0.958600i | \(-0.591912\pi\) |
0.353429 | + | 0.935461i | \(0.385016\pi\) | |||||||
\(510\) | −0.109307 | − | 0.206176i | −0.00484021 | − | 0.00912960i | ||||
\(511\) | 19.8677 | + | 23.3901i | 0.878897 | + | 1.03472i | ||||
\(512\) | −5.36636 | − | 7.91479i | −0.237162 | − | 0.349787i | ||||
\(513\) | −0.199919 | − | 3.68729i | −0.00882664 | − | 0.162798i | ||||
\(514\) | −3.51871 | − | 8.83129i | −0.155204 | − | 0.389532i | ||||
\(515\) | −2.15371 | − | 0.996413i | −0.0949039 | − | 0.0439072i | ||||
\(516\) | 9.92151 | − | 2.18389i | 0.436770 | − | 0.0961404i | ||||
\(517\) | 9.13433 | − | 17.2292i | 0.401728 | − | 0.757739i | ||||
\(518\) | 0.642970 | − | 3.92194i | 0.0282505 | − | 0.172320i | ||||
\(519\) | 6.08885 | − | 4.62862i | 0.267271 | − | 0.203174i | ||||
\(520\) | −1.54189 | + | 0.713356i | −0.0676165 | + | 0.0312827i | ||||
\(521\) | 18.4184 | + | 17.4468i | 0.806924 | + | 0.764359i | 0.975187 | − | 0.221383i | \(-0.0710570\pi\) |
−0.168263 | + | 0.985742i | \(0.553816\pi\) | |||||||
\(522\) | −0.0858055 | − | 0.523390i | −0.00375560 | − | 0.0229082i | ||||
\(523\) | −2.57119 | − | 0.866335i | −0.112430 | − | 0.0378822i | 0.262524 | − | 0.964925i | \(-0.415445\pi\) |
−0.374954 | + | 0.927043i | \(0.622342\pi\) | |||||||
\(524\) | 9.04257 | − | 22.6951i | 0.395027 | − | 0.991442i | ||||
\(525\) | 11.5415 | − | 10.9327i | 0.503713 | − | 0.477142i | ||||
\(526\) | −13.6186 | − | 10.3526i | −0.593801 | − | 0.451396i | ||||
\(527\) | 0.971375 | + | 0.213816i | 0.0423138 | + | 0.00931396i | ||||
\(528\) | −1.98089 | + | 2.33209i | −0.0862073 | + | 0.101491i | ||||
\(529\) | 20.8052 | + | 2.26270i | 0.904572 | + | 0.0983781i | ||||
\(530\) | −0.927018 | −0.0402671 | ||||||||
\(531\) | 1.92282 | + | 7.43658i | 0.0834435 | + | 0.322720i | ||||
\(532\) | 16.7786 | 0.727446 | ||||||||
\(533\) | 17.8225 | + | 1.93831i | 0.771978 | + | 0.0839577i | ||||
\(534\) | −4.24829 | + | 5.00147i | −0.183841 | + | 0.216435i | ||||
\(535\) | 3.23465 | + | 0.712000i | 0.139846 | + | 0.0307824i | ||||
\(536\) | 31.6063 | + | 24.0265i | 1.36518 | + | 1.03778i | ||||
\(537\) | 14.2340 | − | 13.4832i | 0.614244 | − | 0.581842i | ||||
\(538\) | 7.40924 | − | 18.5958i | 0.319435 | − | 0.801721i | ||||
\(539\) | −10.7908 | − | 3.63584i | −0.464793 | − | 0.156607i | ||||
\(540\) | 0.0371862 | + | 0.226826i | 0.00160024 | + | 0.00976102i | ||||
\(541\) | 7.51047 | + | 7.11429i | 0.322900 | + | 0.305867i | 0.831929 | − | 0.554882i | \(-0.187237\pi\) |
−0.509029 | + | 0.860750i | \(0.669995\pi\) | |||||||
\(542\) | −5.10634 | + | 2.36244i | −0.219336 | + | 0.101476i | ||||
\(543\) | −0.725958 | + | 0.551859i | −0.0311539 | + | 0.0236825i | ||||
\(544\) | 1.79963 | − | 10.9773i | 0.0771585 | − | 0.470646i | ||||
\(545\) | −0.909182 | + | 1.71490i | −0.0389451 | + | 0.0734582i | ||||
\(546\) | −9.58582 | + | 2.11000i | −0.410235 | + | 0.0902996i | ||||
\(547\) | 9.64639 | + | 4.46289i | 0.412450 | + | 0.190820i | 0.615131 | − | 0.788425i | \(-0.289103\pi\) |
−0.202681 | + | 0.979245i | \(0.564965\pi\) | |||||||
\(548\) | −8.00785 | − | 20.0982i | −0.342079 | − | 0.858552i | ||||
\(549\) | 0.393191 | + | 7.25198i | 0.0167810 | + | 0.309507i | ||||
\(550\) | 7.51685 | + | 11.0865i | 0.320520 | + | 0.472731i | ||||
\(551\) | 1.66716 | + | 1.96273i | 0.0710235 | + | 0.0836153i | ||||
\(552\) | −1.75461 | − | 3.30955i | −0.0746813 | − | 0.140864i | ||||
\(553\) | −8.83816 | + | 2.97792i | −0.375837 | + | 0.126634i | ||||
\(554\) | −0.901167 | + | 16.6210i | −0.0382869 | + | 0.706160i | ||||
\(555\) | −0.226513 | + | 0.136288i | −0.00961493 | + | 0.00578511i | ||||
\(556\) | 1.04575 | + | 3.76646i | 0.0443498 | + | 0.159734i | ||||
\(557\) | −1.38730 | + | 4.99659i | −0.0587816 | + | 0.211712i | −0.987108 | − | 0.160053i | \(-0.948834\pi\) |
0.928327 | + | 0.371765i | \(0.121247\pi\) | |||||||
\(558\) | 0.341547 | + | 0.205502i | 0.0144589 | + | 0.00869960i | ||||
\(559\) | 16.1933 | − | 23.8834i | 0.684904 | − | 1.01016i | ||||
\(560\) | −0.443951 | + | 0.0482826i | −0.0187604 | + | 0.00204031i | ||||
\(561\) | −6.68036 | + | 0.726533i | −0.282045 | + | 0.0306743i | ||||
\(562\) | −6.06171 | + | 8.94036i | −0.255698 | + | 0.377126i | ||||
\(563\) | −22.2103 | − | 13.3635i | −0.936053 | − | 0.563205i | −0.0361750 | − | 0.999345i | \(-0.511517\pi\) |
−0.899878 | + | 0.436141i | \(0.856345\pi\) | |||||||
\(564\) | 2.09449 | − | 7.54368i | 0.0881941 | − | 0.317646i | ||||
\(565\) | −0.147756 | − | 0.532169i | −0.00621614 | − | 0.0223885i | ||||
\(566\) | 8.47850 | − | 5.10135i | 0.356378 | − | 0.214426i | ||||
\(567\) | −0.173039 | + | 3.19152i | −0.00726697 | + | 0.134031i | ||||
\(568\) | 39.0427 | − | 13.1550i | 1.63819 | − | 0.551972i | ||||
\(569\) | −4.43747 | − | 8.36996i | −0.186029 | − | 0.350887i | 0.772903 | − | 0.634524i | \(-0.218804\pi\) |
−0.958932 | + | 0.283637i | \(0.908459\pi\) | |||||||
\(570\) | 0.293967 | + | 0.346085i | 0.0123129 | + | 0.0144959i | ||||
\(571\) | −12.9011 | − | 19.0277i | −0.539894 | − | 0.796284i | 0.455692 | − | 0.890137i | \(-0.349392\pi\) |
−0.995586 | + | 0.0938535i | \(0.970081\pi\) | |||||||
\(572\) | 1.10042 | + | 20.2960i | 0.0460108 | + | 0.848619i | ||||
\(573\) | 0.0463695 | + | 0.116379i | 0.00193711 | + | 0.00486179i | ||||
\(574\) | −9.79497 | − | 4.53164i | −0.408834 | − | 0.189147i | ||||
\(575\) | 6.99249 | − | 1.53916i | 0.291607 | − | 0.0641875i | ||||
\(576\) | 1.27861 | − | 2.41171i | 0.0532754 | − | 0.100488i | ||||
\(577\) | 2.72184 | − | 16.6025i | 0.113312 | − | 0.691171i | −0.867680 | − | 0.497123i | \(-0.834390\pi\) |
0.980992 | − | 0.194048i | \(-0.0621619\pi\) | |||||||
\(578\) | −8.11222 | + | 6.16675i | −0.337424 | + | 0.256503i | ||||
\(579\) | −23.1750 | + | 10.7219i | −0.963119 | + | 0.445586i | ||||
\(580\) | −0.116374 | − | 0.110235i | −0.00483215 | − | 0.00457725i | ||||
\(581\) | −7.25650 | − | 44.2627i | −0.301050 | − | 1.83632i | ||||
\(582\) | 4.24932 | + | 1.43176i | 0.176140 | + | 0.0593485i | ||||
\(583\) | −9.88055 | + | 24.7983i | −0.409211 | + | 1.02704i | ||||
\(584\) | −18.1396 | + | 17.1827i | −0.750622 | + | 0.711027i | ||||
\(585\) | 0.519746 | + | 0.395101i | 0.0214888 | + | 0.0163354i | ||||
\(586\) | 13.8417 | + | 3.04680i | 0.571797 | + | 0.125862i | ||||
\(587\) | −19.0789 | + | 22.4614i | −0.787470 | + | 0.927082i | −0.998732 | − | 0.0503477i | \(-0.983967\pi\) |
0.211261 | + | 0.977430i | \(0.432243\pi\) | |||||||
\(588\) | −4.54473 | − | 0.494269i | −0.187421 | − | 0.0203833i | ||||
\(589\) | −1.93540 | −0.0797469 | ||||||||
\(590\) | −0.741639 | − | 0.584903i | −0.0305328 | − | 0.0240801i | ||||
\(591\) | −14.8338 | −0.610183 | ||||||||
\(592\) | −1.40454 | − | 0.152753i | −0.0577262 | − | 0.00627811i | ||||
\(593\) | 13.5436 | − | 15.9448i | 0.556170 | − | 0.654774i | −0.410180 | − | 0.912005i | \(-0.634534\pi\) |
0.966350 | + | 0.257230i | \(0.0828099\pi\) | |||||||
\(594\) | −2.63003 | − | 0.578913i | −0.107911 | − | 0.0237531i | ||||
\(595\) | −0.780744 | − | 0.593506i | −0.0320074 | − | 0.0243314i | ||||
\(596\) | 17.9131 | − | 16.9682i | 0.733748 | − | 0.695043i | ||||
\(597\) | 0.140642 | − | 0.352984i | 0.00575609 | − | 0.0144467i | ||||
\(598\) | −4.18919 | − | 1.41150i | −0.171309 | − | 0.0577206i | ||||
\(599\) | 4.63588 | + | 28.2776i | 0.189417 | + | 1.15539i | 0.894767 | + | 0.446533i | \(0.147342\pi\) |
−0.705350 | + | 0.708859i | \(0.749210\pi\) | |||||||
\(600\) | 9.39662 | + | 8.90095i | 0.383615 | + | 0.363380i | ||||
\(601\) | −27.5973 | + | 12.7679i | −1.12572 | + | 0.520813i | −0.892246 | − | 0.451550i | \(-0.850871\pi\) |
−0.233473 | + | 0.972363i | \(0.575009\pi\) | |||||||
\(602\) | −13.8290 | + | 10.5125i | −0.563628 | + | 0.428459i | ||||
\(603\) | 2.46828 | − | 15.0559i | 0.100516 | − | 0.613122i | ||||
\(604\) | 10.0347 | − | 18.9274i | 0.408306 | − | 0.770146i | ||||
\(605\) | −0.242907 | + | 0.0534679i | −0.00987559 | + | 0.00217378i | ||||
\(606\) | −2.98389 | − | 1.38050i | −0.121212 | − | 0.0560788i | ||||
\(607\) | 13.8001 | + | 34.6356i | 0.560129 | + | 1.40582i | 0.887450 | + | 0.460904i | \(0.152475\pi\) |
−0.327321 | + | 0.944913i | \(0.606146\pi\) | |||||||
\(608\) | 1.17185 | + | 21.6136i | 0.0475249 | + | 0.876546i | ||||
\(609\) | −1.25087 | − | 1.84490i | −0.0506879 | − | 0.0747590i | ||||
\(610\) | −0.578160 | − | 0.680663i | −0.0234090 | − | 0.0275592i | ||||
\(611\) | −10.4162 | − | 19.6471i | −0.421395 | − | 0.794835i | ||||
\(612\) | −2.55658 | + | 0.861413i | −0.103344 | + | 0.0348206i | ||||
\(613\) | −1.40122 | + | 25.8439i | −0.0565946 | + | 1.04383i | 0.822982 | + | 0.568068i | \(0.192309\pi\) |
−0.879576 | + | 0.475758i | \(0.842174\pi\) | |||||||
\(614\) | 20.1363 | − | 12.1156i | 0.812634 | − | 0.488945i | ||||
\(615\) | 0.192050 | + | 0.691701i | 0.00774420 | + | 0.0278921i | ||||
\(616\) | 7.87896 | − | 28.3775i | 0.317452 | − | 1.14336i | ||||
\(617\) | −13.4091 | − | 8.06802i | −0.539832 | − | 0.324806i | 0.219391 | − | 0.975637i | \(-0.429593\pi\) |
−0.759223 | + | 0.650831i | \(0.774421\pi\) | |||||||
\(618\) | 6.26402 | − | 9.23874i | 0.251976 | − | 0.371637i | ||||
\(619\) | −28.5299 | + | 3.10281i | −1.14671 | + | 0.124713i | −0.661683 | − | 0.749784i | \(-0.730157\pi\) |
−0.485031 | + | 0.874497i | \(0.661192\pi\) | |||||||
\(620\) | 0.119764 | − | 0.0130251i | 0.00480982 | − | 0.000523099i | ||||
\(621\) | −0.807830 | + | 1.19146i | −0.0324171 | + | 0.0478117i | ||||
\(622\) | 2.56779 | + | 1.54499i | 0.102959 | + | 0.0619485i | ||||
\(623\) | −7.37802 | + | 26.5732i | −0.295594 | + | 1.06463i | ||||
\(624\) | 0.933470 | + | 3.36205i | 0.0373687 | + | 0.134590i | ||||
\(625\) | −21.0860 | + | 12.6870i | −0.843440 | + | 0.507481i | ||||
\(626\) | −0.956556 | + | 17.6426i | −0.0382317 | + | 0.705142i | ||||
\(627\) | 12.3912 | − | 4.17508i | 0.494857 | − | 0.166737i | ||||
\(628\) | 5.77751 | + | 10.8975i | 0.230548 | + | 0.434859i | ||||
\(629\) | −2.00866 | − | 2.36478i | −0.0800906 | − | 0.0942900i | ||||
\(630\) | −0.220563 | − | 0.325307i | −0.00878746 | − | 0.0129605i | ||||
\(631\) | 0.261389 | + | 4.82103i | 0.0104057 | + | 0.191922i | 0.999115 | + | 0.0420728i | \(0.0133961\pi\) |
−0.988709 | + | 0.149849i | \(0.952121\pi\) | |||||||
\(632\) | −2.81051 | − | 7.05385i | −0.111796 | − | 0.280587i | ||||
\(633\) | 6.95841 | + | 3.21930i | 0.276572 | + | 0.127956i | ||||
\(634\) | −8.73663 | + | 1.92308i | −0.346976 | + | 0.0763751i | ||||
\(635\) | 1.45340 | − | 2.74140i | 0.0576763 | − | 0.108789i | ||||
\(636\) | −1.73382 | + | 10.5758i | −0.0687505 | + | 0.419360i | ||||
\(637\) | −10.3372 | + | 7.85810i | −0.409573 | + | 0.311349i | ||||
\(638\) | 1.70446 | − | 0.788567i | 0.0674802 | − | 0.0312197i | ||||
\(639\) | −11.4942 | − | 10.8879i | −0.454704 | − | 0.430719i | ||||
\(640\) | −0.252354 | − | 1.53929i | −0.00997515 | − | 0.0608457i | ||||
\(641\) | 6.52143 | + | 2.19733i | 0.257581 | + | 0.0867891i | 0.445130 | − | 0.895466i | \(-0.353158\pi\) |
−0.187549 | + | 0.982255i | \(0.560054\pi\) | |||||||
\(642\) | −5.76641 | + | 14.4726i | −0.227582 | + | 0.571188i | ||||
\(643\) | −28.1696 | + | 26.6837i | −1.11090 | + | 1.05230i | −0.112624 | + | 0.993638i | \(0.535926\pi\) |
−0.998278 | + | 0.0586645i | \(0.981316\pi\) | |||||||
\(644\) | −5.20701 | − | 3.95826i | −0.205185 | − | 0.155977i | ||||
\(645\) | 1.12843 | + | 0.248387i | 0.0444321 | + | 0.00978024i | ||||
\(646\) | −3.45031 | + | 4.06202i | −0.135751 | + | 0.159818i | ||||
\(647\) | −22.5991 | − | 2.45780i | −0.888464 | − | 0.0966262i | −0.347508 | − | 0.937677i | \(-0.612972\pi\) |
−0.540956 | + | 0.841051i | \(0.681937\pi\) | |||||||
\(648\) | −2.60222 | −0.102225 | ||||||||
\(649\) | −23.5512 | + | 13.6051i | −0.924466 | + | 0.534049i | ||||
\(650\) | 15.2743 | 0.599107 | ||||||||
\(651\) | 1.66536 | + | 0.181119i | 0.0652707 | + | 0.00709862i | ||||
\(652\) | −8.81721 | + | 10.3804i | −0.345309 | + | 0.406529i | ||||
\(653\) | 21.3127 | + | 4.69129i | 0.834032 | + | 0.183584i | 0.611403 | − | 0.791319i | \(-0.290605\pi\) |
0.222629 | + | 0.974903i | \(0.428536\pi\) | |||||||
\(654\) | −7.26826 | − | 5.52519i | −0.284212 | − | 0.216052i | ||||
\(655\) | 2.01725 | − | 1.91084i | 0.0788206 | − | 0.0746629i | ||||
\(656\) | −1.42008 | + | 3.56412i | −0.0554446 | + | 0.139156i | ||||
\(657\) | 9.09910 | + | 3.06585i | 0.354990 | + | 0.119610i | ||||
\(658\) | 2.16578 | + | 13.2107i | 0.0844309 | + | 0.515006i | ||||
\(659\) | −12.6368 | − | 11.9702i | −0.492259 | − | 0.466292i | 0.400843 | − | 0.916147i | \(-0.368717\pi\) |
−0.893102 | + | 0.449855i | \(0.851476\pi\) | |||||||
\(660\) | −0.738674 | + | 0.341747i | −0.0287529 | + | 0.0133025i | ||||
\(661\) | −7.40024 | + | 5.62552i | −0.287836 | + | 0.218807i | −0.739121 | − | 0.673573i | \(-0.764759\pi\) |
0.451285 | + | 0.892380i | \(0.350966\pi\) | |||||||
\(662\) | 3.08385 | − | 18.8106i | 0.119857 | − | 0.731096i | ||||
\(663\) | −3.58931 | + | 6.77016i | −0.139397 | + | 0.262931i | ||||
\(664\) | 35.6641 | − | 7.85026i | 1.38404 | − | 0.304649i | ||||
\(665\) | 1.73196 | + | 0.801290i | 0.0671625 | + | 0.0310727i | ||||
\(666\) | −0.460245 | − | 1.15513i | −0.0178341 | − | 0.0447603i | ||||
\(667\) | −0.0543490 | − | 1.00241i | −0.00210440 | − | 0.0388134i | ||||
\(668\) | −9.79158 | − | 14.4415i | −0.378848 | − | 0.558758i | ||||
\(669\) | 16.3142 | + | 19.2066i | 0.630745 | + | 0.742570i | ||||
\(670\) | 0.878780 | + | 1.65755i | 0.0339502 | + | 0.0640369i | ||||
\(671\) | −24.3704 | + | 8.21135i | −0.940809 | + | 0.316996i | ||||
\(672\) | 1.01429 | − | 18.7076i | 0.0391273 | − | 0.721660i | ||||
\(673\) | −31.1821 | + | 18.7617i | −1.20198 | + | 0.723209i | −0.968467 | − | 0.249143i | \(-0.919851\pi\) |
−0.233517 | + | 0.972353i | \(0.575023\pi\) | |||||||
\(674\) | −0.300925 | − | 1.08383i | −0.0115912 | − | 0.0417477i | ||||
\(675\) | 1.33065 | − | 4.79256i | 0.0512167 | − | 0.184466i | ||||
\(676\) | 4.02511 | + | 2.42183i | 0.154812 | + | 0.0931471i | ||||
\(677\) | −25.1118 | + | 37.0371i | −0.965125 | + | 1.42345i | −0.0600523 | + | 0.998195i | \(0.519127\pi\) |
−0.905072 | + | 0.425257i | \(0.860184\pi\) | |||||||
\(678\) | 2.58263 | − | 0.280878i | 0.0991854 | − | 0.0107871i | ||||
\(679\) | 18.7343 | − | 2.03747i | 0.718955 | − | 0.0781911i | ||||
\(680\) | 0.448086 | − | 0.660877i | 0.0171833 | − | 0.0253435i | ||||
\(681\) | 13.9658 | + | 8.40292i | 0.535169 | + | 0.322001i | ||||
\(682\) | −0.377600 | + | 1.35999i | −0.0144590 | + | 0.0520767i | ||||
\(683\) | 4.55419 | + | 16.4027i | 0.174261 | + | 0.627633i | 0.998145 | + | 0.0608745i | \(0.0193889\pi\) |
−0.823884 | + | 0.566758i | \(0.808197\pi\) | |||||||
\(684\) | 4.49810 | − | 2.70642i | 0.171989 | − | 0.103483i | ||||
\(685\) | 0.133217 | − | 2.45705i | 0.00508997 | − | 0.0938789i | ||||
\(686\) | −8.71722 | + | 2.93717i | −0.332825 | + | 0.112142i | ||||
\(687\) | 5.77215 | + | 10.8874i | 0.220221 | + | 0.415381i | ||||
\(688\) | 3.99777 | + | 4.70653i | 0.152413 | + | 0.179435i | ||||
\(689\) | 17.0828 | + | 25.1952i | 0.650801 | + | 0.959860i | ||||
\(690\) | −0.00958324 | − | 0.176752i | −0.000364828 | − | 0.00672885i | ||||
\(691\) | −13.1245 | − | 32.9399i | −0.499278 | − | 1.25309i | −0.935523 | − | 0.353265i | \(-0.885071\pi\) |
0.436246 | − | 0.899828i | \(-0.356308\pi\) | |||||||
\(692\) | 9.86802 | + | 4.56543i | 0.375126 | + | 0.173552i | ||||
\(693\) | −11.0530 | + | 2.43295i | −0.419869 | + | 0.0924202i | ||||
\(694\) | −3.16693 | + | 5.97347i | −0.120215 | + | 0.226750i | ||||
\(695\) | −0.0719264 | + | 0.438732i | −0.00272832 | + | 0.0166420i | ||||
\(696\) | 1.44470 | − | 1.09823i | 0.0547612 | − | 0.0416284i | ||||
\(697\) | −7.64692 | + | 3.53784i | −0.289648 | + | 0.134005i | ||||
\(698\) | −3.50336 | − | 3.31856i | −0.132604 | − | 0.125609i | ||||
\(699\) | 0.158995 | + | 0.969826i | 0.00601374 | + | 0.0366822i | ||||
\(700\) | 21.4168 | + | 7.21616i | 0.809479 | + | 0.272745i | ||||
\(701\) | 16.6669 | − | 41.8308i | 0.629500 | − | 1.57993i | −0.174080 | − | 0.984731i | \(-0.555695\pi\) |
0.803581 | − | 0.595196i | \(-0.202925\pi\) | |||||||
\(702\) | −2.22947 | + | 2.11187i | −0.0841460 | + | 0.0797073i | ||||
\(703\) | 4.80638 | + | 3.65371i | 0.181276 | + | 0.137802i | ||||
\(704\) | 9.43970 | + | 2.07783i | 0.355772 | + | 0.0783113i | ||||
\(705\) | 0.576463 | − | 0.678664i | 0.0217108 | − | 0.0255600i | ||||
\(706\) | 15.7094 | + | 1.70850i | 0.591233 | + | 0.0643004i | ||||
\(707\) | −13.8172 | −0.519650 | ||||||||
\(708\) | −8.05994 | + | 7.36699i | −0.302911 | + | 0.276868i | ||||
\(709\) | 29.2194 | 1.09736 | 0.548679 | − | 0.836033i | \(-0.315131\pi\) | ||||
0.548679 | + | 0.836033i | \(0.315131\pi\) | |||||||
\(710\) | 1.93545 | + | 0.210493i | 0.0726363 | + | 0.00789967i | ||||
\(711\) | −1.88904 | + | 2.22395i | −0.0708444 | + | 0.0834045i | ||||
\(712\) | −21.9283 | − | 4.82678i | −0.821797 | − | 0.180891i | ||||
\(713\) | 0.600625 | + | 0.456583i | 0.0224936 | + | 0.0170992i | ||||
\(714\) | 3.34903 | − | 3.17237i | 0.125334 | − | 0.118723i | ||||
\(715\) | −0.855678 | + | 2.14759i | −0.0320005 | + | 0.0803153i | ||||
\(716\) | 26.4131 | + | 8.89961i | 0.987104 | + | 0.332594i | ||||
\(717\) | 3.21147 | + | 19.5891i | 0.119934 | + | 0.731567i | ||||
\(718\) | −9.89605 | − | 9.37403i | −0.369317 | − | 0.349836i | ||||
\(719\) | −14.6753 | + | 6.78951i | −0.547296 | + | 0.253206i | −0.673996 | − | 0.738735i | \(-0.735424\pi\) |
0.126700 | + | 0.991941i | \(0.459561\pi\) | |||||||
\(720\) | −0.111229 | + | 0.0845538i | −0.00414525 | + | 0.00315114i | ||||
\(721\) | 7.58920 | − | 46.2921i | 0.282637 | − | 1.72401i | ||||
\(722\) | −1.91083 | + | 3.60421i | −0.0711138 | + | 0.134135i | ||||
\(723\) | 2.12250 | − | 0.467197i | 0.0789365 | − | 0.0173752i | ||||
\(724\) | −1.17654 | − | 0.544325i | −0.0437258 | − | 0.0202297i | ||||
\(725\) | 1.28389 | + | 3.22231i | 0.0476823 | + | 0.119674i | ||||
\(726\) | −0.0633381 | − | 1.16820i | −0.00235070 | − | 0.0433561i | ||||
\(727\) | 8.42792 | + | 12.4303i | 0.312574 | + | 0.461013i | 0.951231 | − | 0.308479i | \(-0.0998200\pi\) |
−0.638657 | + | 0.769492i | \(0.720510\pi\) | |||||||
\(728\) | −21.7418 | − | 25.5964i | −0.805805 | − | 0.948667i | ||||
\(729\) | 0.468408 | + | 0.883512i | 0.0173485 | + | 0.0327227i | ||||
\(730\) | −1.11889 | + | 0.376999i | −0.0414121 | + | 0.0139534i | ||||
\(731\) | −0.734209 | + | 13.5417i | −0.0271557 | + | 0.500857i | ||||
\(732\) | −8.84665 | + | 5.32285i | −0.326982 | + | 0.196738i | ||||
\(733\) | −7.99119 | − | 28.7817i | −0.295161 | − | 1.06307i | −0.951258 | − | 0.308398i | \(-0.900207\pi\) |
0.656096 | − | 0.754677i | \(-0.272206\pi\) | |||||||
\(734\) | 1.35026 | − | 4.86319i | 0.0498390 | − | 0.179504i | ||||
\(735\) | −0.445521 | − | 0.268061i | −0.0164333 | − | 0.00988758i | ||||
\(736\) | 4.73521 | − | 6.98391i | 0.174542 | − | 0.257430i | ||||
\(737\) | 53.7070 | − | 5.84099i | 1.97832 | − | 0.215156i | ||||
\(738\) | −3.35685 | + | 0.365079i | −0.123567 | + | 0.0134388i | ||||
\(739\) | 1.97078 | − | 2.90668i | 0.0724963 | − | 0.106924i | −0.789712 | − | 0.613477i | \(-0.789770\pi\) |
0.862209 | + | 0.506553i | \(0.169081\pi\) | |||||||
\(740\) | −0.322010 | − | 0.193747i | −0.0118373 | − | 0.00712227i | ||||
\(741\) | 3.98903 | − | 14.3672i | 0.146541 | − | 0.527791i | ||||
\(742\) | −4.90251 | − | 17.6573i | −0.179977 | − | 0.648218i | ||||
\(743\) | −19.5467 | + | 11.7608i | −0.717098 | + | 0.431464i | −0.826796 | − | 0.562501i | \(-0.809839\pi\) |
0.109698 | + | 0.993965i | \(0.465012\pi\) | |||||||
\(744\) | −0.0738381 | + | 1.36186i | −0.00270704 | + | 0.0499284i | ||||
\(745\) | 2.65940 | − | 0.896057i | 0.0974330 | − | 0.0328290i | ||||
\(746\) | −2.40785 | − | 4.54168i | −0.0881575 | − | 0.166283i | ||||
\(747\) | −9.08500 | − | 10.6957i | −0.332403 | − | 0.391335i | ||||
\(748\) | −5.36090 | − | 7.90673i | −0.196014 | − | 0.289099i | ||||
\(749\) | 3.54463 | + | 65.3769i | 0.129518 | + | 2.38882i | ||||
\(750\) | 0.453960 | + | 1.13935i | 0.0165763 | + | 0.0416033i | ||||
\(751\) | −17.0951 | − | 7.90905i | −0.623810 | − | 0.288605i | 0.0824092 | − | 0.996599i | \(-0.473739\pi\) |
−0.706219 | + | 0.707993i | \(0.749601\pi\) | |||||||
\(752\) | 4.64769 | − | 1.02303i | 0.169484 | − | 0.0373062i | ||||
\(753\) | −3.66396 | + | 6.91097i | −0.133522 | + | 0.251850i | ||||
\(754\) | 0.346471 | − | 2.11338i | 0.0126177 | − | 0.0769649i | ||||
\(755\) | 1.93973 | − | 1.47455i | 0.0705941 | − | 0.0536642i | ||||
\(756\) | −4.12377 | + | 1.90786i | −0.149980 | + | 0.0693882i | ||||
\(757\) | −19.0506 | − | 18.0457i | −0.692406 | − | 0.655881i | 0.258268 | − | 0.966073i | \(-0.416848\pi\) |
−0.950674 | + | 0.310192i | \(0.899607\pi\) | |||||||
\(758\) | −0.875210 | − | 5.33854i | −0.0317890 | − | 0.193905i | ||||
\(759\) | −4.83038 | − | 1.62754i | −0.175332 | − | 0.0590761i | ||||
\(760\) | −0.575079 | + | 1.44334i | −0.0208603 | + | 0.0523555i | ||||
\(761\) | −35.0241 | + | 33.1766i | −1.26962 | + | 1.20265i | −0.301138 | + | 0.953581i | \(0.597366\pi\) |
−0.968485 | + | 0.249071i | \(0.919875\pi\) | |||||||
\(762\) | 11.6189 | + | 8.83243i | 0.420907 | + | 0.319965i | ||||
\(763\) | −37.4725 | − | 8.24832i | −1.35660 | − | 0.298609i | ||||
\(764\) | −0.115294 | + | 0.135735i | −0.00417120 | + | 0.00491072i | ||||
\(765\) | −0.305039 | − | 0.0331750i | −0.0110287 | − | 0.00119945i | ||||
\(766\) | 20.5413 | 0.742186 | ||||||||
\(767\) | −2.23028 | + | 30.9352i | −0.0805308 | + | 1.11700i | ||||
\(768\) | 12.7964 | 0.461750 | ||||||||
\(769\) | 29.2209 | + | 3.17796i | 1.05373 | + | 0.114600i | 0.618553 | − | 0.785743i | \(-0.287719\pi\) |
0.435180 | + | 0.900344i | \(0.356685\pi\) | |||||||
\(770\) | 0.900967 | − | 1.06070i | 0.0324686 | − | 0.0382250i | ||||
\(771\) | −12.2076 | − | 2.68709i | −0.439645 | − | 0.0967733i | ||||
\(772\) | −28.8986 | − | 21.9681i | −1.04008 | − | 0.790651i | ||||
\(773\) | −6.84988 | + | 6.48855i | −0.246373 | + | 0.233377i | −0.800914 | − | 0.598780i | \(-0.795653\pi\) |
0.554541 | + | 0.832156i | \(0.312894\pi\) | |||||||
\(774\) | −2.01166 | + | 5.04889i | −0.0723077 | + | 0.181479i | ||||
\(775\) | −2.47041 | − | 0.832379i | −0.0887399 | − | 0.0298999i | ||||
\(776\) | 2.48216 | + | 15.1405i | 0.0891042 | + | 0.543511i | ||||
\(777\) | −3.79384 | − | 3.59371i | −0.136103 | − | 0.128924i | ||||
\(778\) | −12.8067 | + | 5.92499i | −0.459141 | + | 0.212421i | ||||
\(779\) | 13.0520 | − | 9.92189i | 0.467637 | − | 0.355489i | ||||
\(780\) | −0.150153 | + | 0.915892i | −0.00537634 | + | 0.0327942i | ||||
\(781\) | 26.2597 | − | 49.5310i | 0.939646 | − | 1.77236i | ||||
\(782\) | 2.02903 | − | 0.446623i | 0.0725579 | − | 0.0159712i | ||||
\(783\) | −0.632925 | − | 0.292822i | −0.0226189 | − | 0.0104646i | ||||
\(784\) | −1.02855 | − | 2.58147i | −0.0367341 | − | 0.0921955i | ||||
\(785\) | 0.0759493 | + | 1.40080i | 0.00271075 | + | 0.0499968i | ||||
\(786\) | 7.33458 | + | 10.8177i | 0.261616 | + | 0.385854i | ||||
\(787\) | −1.51061 | − | 1.77843i | −0.0538476 | − | 0.0633943i | 0.734579 | − | 0.678523i | \(-0.237380\pi\) |
−0.788426 | + | 0.615129i | \(0.789104\pi\) | |||||||
\(788\) | −9.87767 | − | 18.6313i | −0.351877 | − | 0.663711i | ||||
\(789\) | −21.3159 | + | 7.18216i | −0.758866 | + | 0.255692i | ||||
\(790\) | 0.0194257 | − | 0.358286i | 0.000691135 | − | 0.0127472i | ||||
\(791\) | 9.35502 | − | 5.62873i | 0.332626 | − | 0.200134i | ||||
\(792\) | −2.46509 | − | 8.87846i | −0.0875933 | − | 0.315482i | ||||
\(793\) | −7.84542 | + | 28.2567i | −0.278599 | + | 1.00342i | ||||
\(794\) | −11.4346 | − | 6.87999i | −0.405800 | − | 0.244162i | ||||
\(795\) | −0.684038 | + | 1.00888i | −0.0242603 | + | 0.0357813i | ||||
\(796\) | 0.536999 | − | 0.0584022i | 0.0190334 | − | 0.00207001i | ||||
\(797\) | 39.9366 | − | 4.34337i | 1.41463 | − | 0.153850i | 0.631338 | − | 0.775508i | \(-0.282506\pi\) |
0.783289 | + | 0.621658i | \(0.213540\pi\) | |||||||
\(798\) | −5.03737 | + | 7.42956i | −0.178321 | + | 0.263004i | ||||
\(799\) | 8.95521 | + | 5.38817i | 0.316812 | + | 0.190620i | ||||
\(800\) | −7.79978 | + | 28.0923i | −0.275764 | + | 0.993211i | ||||
\(801\) | 2.30836 | + | 8.31398i | 0.0815621 | + | 0.293760i | ||||
\(802\) | 12.1643 | − | 7.31902i | 0.429537 | − | 0.258444i | ||||
\(803\) | −1.84068 | + | 33.9493i | −0.0649561 | + | 1.19805i | ||||
\(804\) | 20.5537 | − | 6.92536i | 0.724874 | − | 0.244239i | ||||
\(805\) | −0.348456 | − | 0.657257i | −0.0122814 | − | 0.0231653i | ||||
\(806\) | 1.04198 | + | 1.22671i | 0.0367021 | + | 0.0432090i | ||||
\(807\) | −14.7707 | − | 21.7852i | −0.519954 | − | 0.766875i | ||||
\(808\) | −0.609030 | − | 11.2329i | −0.0214256 | − | 0.395172i | ||||
\(809\) | 5.41973 | + | 13.6025i | 0.190547 | + | 0.478238i | 0.992948 | − | 0.118547i | \(-0.0378237\pi\) |
−0.802401 | + | 0.596785i | \(0.796444\pi\) | |||||||
\(810\) | −0.111602 | − | 0.0516327i | −0.00392130 | − | 0.00181419i | ||||
\(811\) | −10.3026 | + | 2.26777i | −0.361772 | + | 0.0796321i | −0.392137 | − | 0.919907i | \(-0.628264\pi\) |
0.0303648 | + | 0.999539i | \(0.490333\pi\) | |||||||
\(812\) | 1.48425 | − | 2.79958i | 0.0520868 | − | 0.0982462i | ||||
\(813\) | −1.19686 | + | 7.30050i | −0.0419756 | + | 0.256040i | ||||
\(814\) | 3.50516 | − | 2.66455i | 0.122856 | − | 0.0933926i | ||||
\(815\) | −1.40588 | + | 0.650431i | −0.0492459 | + | 0.0227836i | ||||
\(816\) | −1.19055 | − | 1.12775i | −0.0416775 | − | 0.0394790i | ||||
\(817\) | −4.26924 | − | 26.0412i | −0.149362 | − | 0.911067i | ||||
\(818\) | 19.8933 | + | 6.70284i | 0.695553 | + | 0.234359i | ||||
\(819\) | −4.77696 | + | 11.9893i | −0.166921 | + | 0.418939i | ||||
\(820\) | −0.740891 | + | 0.701809i | −0.0258730 | + | 0.0245082i | ||||
\(821\) | −39.7122 | − | 30.1884i | −1.38596 | − | 1.05358i | −0.990853 | − | 0.134949i | \(-0.956913\pi\) |
−0.395111 | − | 0.918633i | \(-0.629294\pi\) | |||||||
\(822\) | 11.3036 | + | 2.48811i | 0.394259 | + | 0.0867830i | ||||
\(823\) | 22.3041 | − | 26.2584i | 0.777472 | − | 0.915310i | −0.220725 | − | 0.975336i | \(-0.570842\pi\) |
0.998197 | + | 0.0600257i | \(0.0191183\pi\) | |||||||
\(824\) | 37.9683 | + | 4.12930i | 1.32269 | + | 0.143851i | ||||
\(825\) | 17.6122 | 0.613177 | ||||||||
\(826\) | 7.21873 | − | 17.2195i | 0.251172 | − | 0.599143i | ||||
\(827\) | 25.1558 | 0.874752 | 0.437376 | − | 0.899279i | \(-0.355908\pi\) | ||||
0.437376 | + | 0.899279i | \(0.355908\pi\) | |||||||
\(828\) | −2.03440 | − | 0.221254i | −0.0707001 | − | 0.00768910i | ||||
\(829\) | 23.0808 | − | 27.1729i | 0.801631 | − | 0.943752i | −0.197703 | − | 0.980262i | \(-0.563348\pi\) |
0.999333 | + | 0.0365096i | \(0.0116239\pi\) | |||||||
\(830\) | 1.68530 | + | 0.370963i | 0.0584977 | + | 0.0128763i | ||||
\(831\) | 17.4238 | + | 13.2453i | 0.604426 | + | 0.459473i | ||||
\(832\) | 8.00201 | − | 7.57991i | 0.277420 | − | 0.262786i | ||||
\(833\) | 2.25883 | − | 5.66923i | 0.0782637 | − | 0.196427i | ||||
\(834\) | −1.98175 | − | 0.667729i | −0.0686223 | − | 0.0231215i | ||||
\(835\) | −0.321051 | − | 1.95832i | −0.0111104 | − | 0.0677706i | ||||
\(836\) | 13.4950 | + | 12.7832i | 0.466736 | + | 0.442116i | ||||
\(837\) | 0.475674 | − | 0.220070i | 0.0164417 | − | 0.00760674i | ||||
\(838\) | 14.4252 | − | 10.9657i | 0.498309 | − | 0.378804i | ||||
\(839\) | −3.21292 | + | 19.5980i | −0.110922 | + | 0.676597i | 0.871567 | + | 0.490277i | \(0.163104\pi\) |
−0.982489 | + | 0.186320i | \(0.940344\pi\) | |||||||
\(840\) | 0.629911 | − | 1.18814i | 0.0217340 | − | 0.0409947i | ||||
\(841\) | −27.8470 | + | 6.12959i | −0.960242 | + | 0.211365i | ||||
\(842\) | −19.1303 | − | 8.85064i | −0.659275 | − | 0.305013i | ||||
\(843\) | 5.25698 | + | 13.1940i | 0.181060 | + | 0.454426i | ||||
\(844\) | 0.590083 | + | 10.8834i | 0.0203115 | + | 0.374623i | ||||
\(845\) | 0.299830 | + | 0.442216i | 0.0103145 | + | 0.0152127i | ||||
\(846\) | 2.71151 | + | 3.19224i | 0.0932238 | + | 0.109752i | ||||
\(847\) | −2.30303 | − | 4.34398i | −0.0791332 | − | 0.149261i | ||||
\(848\) | −6.17342 | + | 2.08007i | −0.211996 | + | 0.0714298i | ||||
\(849\) | 0.704376 | − | 12.9915i | 0.0241741 | − | 0.445866i | ||||
\(850\) | −6.15108 | + | 3.70098i | −0.210980 | + | 0.126943i | ||||
\(851\) | −0.629639 | − | 2.26775i | −0.0215837 | − | 0.0777376i | ||||
\(852\) | 6.02132 | − | 21.6868i | 0.206287 | − | 0.742979i | ||||
\(853\) | −32.5210 | − | 19.5672i | −1.11350 | − | 0.669969i | −0.164854 | − | 0.986318i | \(-0.552715\pi\) |
−0.948643 | + | 0.316349i | \(0.897543\pi\) | |||||||
\(854\) | 9.90725 | − | 14.6121i | 0.339019 | − | 0.500016i | ||||
\(855\) | 0.593562 | − | 0.0645538i | 0.0202994 | − | 0.00220769i | ||||
\(856\) | −52.9929 | + | 5.76332i | −1.81126 | + | 0.196986i | ||||
\(857\) | 24.6966 | − | 36.4248i | 0.843620 | − | 1.24425i | −0.124113 | − | 0.992268i | \(-0.539609\pi\) |
0.967733 | − | 0.251978i | \(-0.0810810\pi\) | |||||||
\(858\) | −9.31742 | − | 5.60611i | −0.318091 | − | 0.191389i | ||||
\(859\) | 9.30329 | − | 33.5074i | 0.317424 | − | 1.14326i | −0.616961 | − | 0.786994i | \(-0.711636\pi\) |
0.934385 | − | 0.356265i | \(-0.115950\pi\) | |||||||
\(860\) | 0.439437 | + | 1.58271i | 0.0149847 | + | 0.0539699i | ||||
\(861\) | −12.1594 | + | 7.31609i | −0.414392 | + | 0.249332i | ||||
\(862\) | −1.58090 | + | 29.1580i | −0.0538457 | + | 0.993125i | ||||
\(863\) | 21.3109 | − | 7.18048i | 0.725432 | − | 0.244426i | 0.0677288 | − | 0.997704i | \(-0.478425\pi\) |
0.657703 | + | 0.753277i | \(0.271528\pi\) | |||||||
\(864\) | −2.74564 | − | 5.17883i | −0.0934086 | − | 0.176187i | ||||
\(865\) | 0.800589 | + | 0.942526i | 0.0272208 | + | 0.0320468i | ||||
\(866\) | −12.2118 | − | 18.0110i | −0.414973 | − | 0.612040i | ||||
\(867\) | 0.725387 | + | 13.3790i | 0.0246354 | + | 0.454374i | ||||
\(868\) | 0.881460 | + | 2.21230i | 0.0299187 | + | 0.0750903i | ||||
\(869\) | −9.37732 | − | 4.33841i | −0.318104 | − | 0.147171i | ||||
\(870\) | 0.0837502 | − | 0.0184348i | 0.00283940 | − | 0.000624998i | ||||
\(871\) | 28.8564 | − | 54.4289i | 0.977762 | − | 1.84425i | ||||
\(872\) | 5.05389 | − | 30.8274i | 0.171146 | − | 1.04395i | ||||
\(873\) | 4.69373 | − | 3.56808i | 0.158859 | − | 0.120761i | ||||
\(874\) | −3.66907 | + | 1.69749i | −0.124108 | + | 0.0574185i | ||||
\(875\) | 3.74203 | + | 3.54464i | 0.126504 | + | 0.119831i | ||||
\(876\) | 2.20829 | + | 13.4700i | 0.0746111 | + | 0.455108i | ||||
\(877\) | 18.7776 | + | 6.32692i | 0.634075 | + | 0.213645i | 0.617940 | − | 0.786225i | \(-0.287967\pi\) |
0.0161350 | + | 0.999870i | \(0.494864\pi\) | |||||||
\(878\) | −0.912716 | + | 2.29074i | −0.0308027 | + | 0.0773089i | ||||
\(879\) | 13.5295 | − | 12.8159i | 0.456340 | − | 0.432268i | ||||
\(880\) | −0.393855 | − | 0.299401i | −0.0132768 | − | 0.0100928i | ||||
\(881\) | 12.0453 | + | 2.65136i | 0.405815 | + | 0.0893266i | 0.413187 | − | 0.910646i | \(-0.364416\pi\) |
−0.00737206 | + | 0.999973i | \(0.502347\pi\) | |||||||
\(882\) | 1.58330 | − | 1.86401i | 0.0533126 | − | 0.0627644i | ||||
\(883\) | −35.0320 | − | 3.80996i | −1.17892 | − | 0.128215i | −0.502397 | − | 0.864637i | \(-0.667548\pi\) |
−0.676523 | + | 0.736422i | \(0.736514\pi\) | |||||||
\(884\) | −10.8934 | −0.366384 | ||||||||
\(885\) | −1.18380 | + | 0.375536i | −0.0397931 | + | 0.0126235i | ||||
\(886\) | −8.90484 | −0.299164 | ||||||||
\(887\) | −36.5267 | − | 3.97252i | −1.22645 | − | 0.133384i | −0.528124 | − | 0.849167i | \(-0.677104\pi\) |
−0.698323 | + | 0.715783i | \(0.746070\pi\) | |||||||
\(888\) | 2.75434 | − | 3.24266i | 0.0924295 | − | 0.108816i | ||||
\(889\) | 59.9026 | + | 13.1856i | 2.00907 | + | 0.442230i | ||||
\(890\) | −0.844673 | − | 0.642104i | −0.0283135 | − | 0.0215234i | ||||
\(891\) | −2.57071 | + | 2.43511i | −0.0861220 | + | 0.0815791i | ||||
\(892\) | −13.2600 | + | 33.2801i | −0.443977 | + | 1.11430i | ||||
\(893\) | −19.2720 | − | 6.49350i | −0.644913 | − | 0.217297i | ||||
\(894\) | 2.13553 | + | 13.0262i | 0.0714228 | + | 0.435660i | ||||
\(895\) | 2.30146 | + | 2.18005i | 0.0769292 | + | 0.0728712i | ||||
\(896\) | 27.9848 | − | 12.9472i | 0.934908 | − | 0.432534i | ||||
\(897\) | −4.62731 | + | 3.51759i | −0.154501 | + | 0.117449i | ||||
\(898\) | −0.225870 | + | 1.37774i | −0.00753737 | + | 0.0459759i | ||||
\(899\) | −0.171207 | + | 0.322930i | −0.00571007 | + | 0.0107703i | ||||
\(900\) | 6.90550 | − | 1.52002i | 0.230183 | − | 0.0506672i | ||||
\(901\) | −12.9842 | − | 6.00713i | −0.432566 | − | 0.200126i | ||||
\(902\) | −4.42556 | − | 11.1073i | −0.147355 | − | 0.369833i | ||||
\(903\) | 1.23658 | + | 22.8073i | 0.0411507 | + | 0.758980i | ||||
\(904\) | 4.98830 | + | 7.35719i | 0.165908 | + | 0.244697i | ||||
\(905\) | −0.0954522 | − | 0.112375i | −0.00317294 | − | 0.00373547i | ||||
\(906\) | 5.36838 | + | 10.1258i | 0.178352 | + | 0.336408i | ||||
\(907\) | −1.12761 | + | 0.379937i | −0.0374418 | + | 0.0126156i | −0.337960 | − | 0.941160i | \(-0.609737\pi\) |
0.300518 | + | 0.953776i | \(0.402840\pi\) | |||||||
\(908\) | −1.25442 | + | 23.1364i | −0.0416293 | + | 0.767807i | ||||
\(909\) | −3.70419 | + | 2.22874i | −0.122860 | + | 0.0739226i | ||||
\(910\) | −0.424569 | − | 1.52916i | −0.0140743 | − | 0.0506911i | ||||
\(911\) | −4.20097 | + | 15.1305i | −0.139184 | + | 0.501297i | −0.999971 | − | 0.00766982i | \(-0.997559\pi\) |
0.860786 | + | 0.508967i | \(0.169972\pi\) | |||||||
\(912\) | 2.73421 | + | 1.64512i | 0.0905386 | + | 0.0544753i | ||||
\(913\) | 27.8861 | − | 41.1290i | 0.922896 | − | 1.36117i | ||||
\(914\) | 22.0407 | − | 2.39707i | 0.729040 | − | 0.0792879i | ||||
\(915\) | −1.16739 | + | 0.126961i | −0.0385927 | + | 0.00419721i | ||||
\(916\) | −9.83098 | + | 14.4996i | −0.324825 | + | 0.479080i | ||||
\(917\) | 47.0648 | + | 28.3179i | 1.55422 | + | 0.935140i | ||||
\(918\) | 0.386118 | − | 1.39067i | 0.0127438 | − | 0.0458989i | ||||
\(919\) | 8.80875 | + | 31.7262i | 0.290574 | + | 1.04655i | 0.954367 | + | 0.298636i | \(0.0965317\pi\) |
−0.663793 | + | 0.747916i | \(0.731055\pi\) | |||||||
\(920\) | 0.518967 | − | 0.312252i | 0.0171098 | − | 0.0102947i | ||||
\(921\) | 1.67288 | − | 30.8544i | 0.0551232 | − | 1.01669i | ||||
\(922\) | 5.94643 | − | 2.00359i | 0.195835 | − | 0.0659846i | ||||
\(923\) | −29.9449 | − | 56.4821i | −0.985648 | − | 1.85913i | ||||
\(924\) | −10.4158 | − | 12.2625i | −0.342656 | − | 0.403406i | ||||
\(925\) | 4.56363 | + | 6.73085i | 0.150051 | + | 0.221309i | ||||
\(926\) | −0.193480 | − | 3.56853i | −0.00635816 | − | 0.117269i | ||||
\(927\) | −5.43243 | − | 13.6344i | −0.178424 | − | 0.447811i | ||||
\(928\) | 3.70998 | + | 1.71642i | 0.121786 | + | 0.0563442i | ||||
\(929\) | −35.2805 | + | 7.76582i | −1.15752 | + | 0.254788i | −0.751914 | − | 0.659262i | \(-0.770869\pi\) |
−0.405601 | + | 0.914050i | \(0.632938\pi\) | |||||||
\(930\) | −0.0301885 | + | 0.0569416i | −0.000989921 | + | 0.00186719i | ||||
\(931\) | −1.92114 | + | 11.7185i | −0.0629629 | + | 0.384057i | ||||
\(932\) | −1.11223 | + | 0.845492i | −0.0364322 | + | 0.0276950i | ||||
\(933\) | 3.57618 | − | 1.65452i | 0.117079 | − | 0.0541664i | ||||
\(934\) | −3.59307 | − | 3.40354i | −0.117569 | − | 0.111367i | ||||
\(935\) | −0.175776 | − | 1.07218i | −0.00574848 | − | 0.0350641i | ||||
\(936\) | −9.95740 | − | 3.35504i | −0.325468 | − | 0.109663i | ||||
\(937\) | −0.470888 | + | 1.18184i | −0.0153832 | + | 0.0386090i | −0.936468 | − | 0.350754i | \(-0.885925\pi\) |
0.921085 | + | 0.389363i | \(0.127305\pi\) | |||||||
\(938\) | −26.9246 | + | 25.5044i | −0.879121 | + | 0.832747i | ||||
\(939\) | 18.4948 | + | 14.0594i | 0.603555 | + | 0.458810i | ||||
\(940\) | 1.23626 | + | 0.272121i | 0.0403224 | + | 0.00887562i | ||||
\(941\) | −15.6253 | + | 18.3955i | −0.509371 | + | 0.599677i | −0.955390 | − | 0.295346i | \(-0.904565\pi\) |
0.446020 | + | 0.895023i | \(0.352841\pi\) | |||||||
\(942\) | −6.55997 | − | 0.713440i | −0.213735 | − | 0.0232451i | ||||
\(943\) | −6.39119 | −0.208126 | ||||||||
\(944\) | −6.25131 | − | 2.23102i | −0.203463 | − | 0.0726134i | ||||
\(945\) | −0.516786 | −0.0168110 | ||||||||
\(946\) | −19.1319 | − | 2.08072i | −0.622031 | − | 0.0676499i | ||||
\(947\) | 20.0848 | − | 23.6457i | 0.652669 | − | 0.768381i | −0.331912 | − | 0.943310i | \(-0.607694\pi\) |
0.984581 | + | 0.174929i | \(0.0559696\pi\) | |||||||
\(948\) | −4.05116 | − | 0.891727i | −0.131575 | − | 0.0289619i | ||||
\(949\) | 30.8649 | + | 23.4629i | 1.00192 | + | 0.761639i | ||||
\(950\) | 10.1412 | − | 9.60622i | 0.329023 | − | 0.311667i | ||||
\(951\) | −4.35378 | + | 10.9272i | −0.141181 | + | 0.354337i | ||||
\(952\) | 14.9577 | + | 5.03982i | 0.484780 | + | 0.163342i | ||||
\(953\) | −7.36408 | − | 44.9189i | −0.238546 | − | 1.45507i | −0.785998 | − | 0.618229i | \(-0.787850\pi\) |
0.547452 | − | 0.836837i | \(-0.315598\pi\) | |||||||
\(954\) | −4.16244 | − | 3.94287i | −0.134764 | − | 0.127655i | ||||
\(955\) | −0.0183834 | + | 0.00850507i | −0.000594873 | + | 0.000275217i | ||||
\(956\) | −22.4653 | + | 17.0777i | −0.726581 | + | 0.552333i | ||||
\(957\) | 0.399502 | − | 2.43685i | 0.0129141 | − | 0.0787723i | ||||
\(958\) | −7.91414 | + | 14.9277i | −0.255694 | + | 0.482291i | ||||
\(959\) | 47.5048 | − | 10.4566i | 1.53401 | − | 0.337661i | ||||
\(960\) | 0.400563 | + | 0.185320i | 0.0129281 | + | 0.00598118i | ||||
\(961\) | 11.3726 | + | 28.5431i | 0.366858 | + | 0.920745i | ||||
\(962\) | −0.271823 | − | 5.01349i | −0.00876394 | − | 0.161641i | ||||
\(963\) | 11.4957 | + | 16.9548i | 0.370443 | + | 0.546362i | ||||
\(964\) | 2.00014 | + | 2.35475i | 0.0644203 | + | 0.0758414i | ||||
\(965\) | −1.93391 | − | 3.64774i | −0.0622548 | − | 0.117425i | ||||
\(966\) | 3.31599 | − | 1.11729i | 0.106690 | − | 0.0359481i | ||||
\(967\) | 1.32773 | − | 24.4885i | 0.0426968 | − | 0.787496i | −0.896274 | − | 0.443500i | \(-0.853737\pi\) |
0.938971 | − | 0.343996i | \(-0.111781\pi\) | |||||||
\(968\) | 3.42999 | − | 2.06376i | 0.110244 | − | 0.0663316i | ||||
\(969\) | 1.87477 | + | 6.75232i | 0.0602264 | + | 0.216916i | ||||
\(970\) | −0.193961 | + | 0.698585i | −0.00622772 | + | 0.0224302i | ||||
\(971\) | 43.4787 | + | 26.1602i | 1.39530 | + | 0.839522i | 0.996975 | − | 0.0777235i | \(-0.0247651\pi\) |
0.398322 | + | 0.917246i | \(0.369593\pi\) | |||||||
\(972\) | −0.797781 | + | 1.17664i | −0.0255889 | + | 0.0377407i | ||||
\(973\) | −8.73707 | + | 0.950213i | −0.280097 | + | 0.0304624i | ||||
\(974\) | 8.75453 | − | 0.952113i | 0.280513 | − | 0.0305077i | ||||
\(975\) | 11.2708 | − | 16.6231i | 0.360953 | − | 0.532366i | ||||
\(976\) | −5.37750 | − | 3.23554i | −0.172130 | − | 0.103567i | ||||
\(977\) | 2.42868 | − | 8.74732i | 0.0777004 | − | 0.279852i | −0.914486 | − | 0.404618i | \(-0.867404\pi\) |
0.992186 | + | 0.124767i | \(0.0398182\pi\) | |||||||
\(978\) | −1.94929 | − | 7.02071i | −0.0623315 | − | 0.224498i | ||||
\(979\) | −26.1796 | + | 15.7517i | −0.836702 | + | 0.503427i | ||||
\(980\) | 0.0400171 | − | 0.738072i | 0.00127830 | − | 0.0235768i | ||||
\(981\) | −11.3763 | + | 3.83312i | −0.363217 | + | 0.122382i | ||||
\(982\) | 10.7511 | + | 20.2788i | 0.343083 | + | 0.647123i | ||||
\(983\) | 13.4024 | + | 15.7785i | 0.427469 | + | 0.503256i | 0.933161 | − | 0.359458i | \(-0.117039\pi\) |
−0.505692 | + | 0.862714i | \(0.668763\pi\) | |||||||
\(984\) | −6.48368 | − | 9.56271i | −0.206692 | − | 0.304848i | ||||
\(985\) | −0.129849 | − | 2.39492i | −0.00413733 | − | 0.0763085i | ||||
\(986\) | 0.372549 | + | 0.935027i | 0.0118644 | + | 0.0297773i | ||||
\(987\) | 15.9754 | + | 7.39100i | 0.508502 | + | 0.235258i | ||||
\(988\) | 20.7014 | − | 4.55672i | 0.658599 | − | 0.144969i | ||||
\(989\) | −4.81851 | + | 9.08868i | −0.153220 | + | 0.289003i | ||||
\(990\) | 0.0704433 | − | 0.429685i | 0.00223884 | − | 0.0136563i | ||||
\(991\) | −1.37291 | + | 1.04366i | −0.0436119 | + | 0.0331529i | −0.626753 | − | 0.779218i | \(-0.715617\pi\) |
0.583141 | + | 0.812371i | \(0.301823\pi\) | |||||||
\(992\) | −2.78823 | + | 1.28997i | −0.0885264 | + | 0.0409567i | ||||
\(993\) | −18.1962 | − | 17.2364i | −0.577439 | − | 0.546979i | ||||
\(994\) | 6.22626 | + | 37.9785i | 0.197485 | + | 1.20460i | ||||
\(995\) | 0.0582204 | + | 0.0196167i | 0.00184571 | + | 0.000621892i | ||||
\(996\) | 7.38416 | − | 18.5329i | 0.233976 | − | 0.587236i | ||||
\(997\) | 11.8403 | − | 11.2157i | 0.374986 | − | 0.355206i | −0.476877 | − | 0.878970i | \(-0.658231\pi\) |
0.851863 | + | 0.523764i | \(0.175473\pi\) | |||||||
\(998\) | −25.4543 | − | 19.3498i | −0.805741 | − | 0.612508i | ||||
\(999\) | −1.59674 | − | 0.351470i | −0.0505187 | − | 0.0111200i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 177.2.e.b.4.2 | ✓ | 140 | |
3.2 | odd | 2 | 531.2.i.b.181.4 | 140 | |||
59.15 | even | 29 | inner | 177.2.e.b.133.2 | yes | 140 | |
177.74 | odd | 58 | 531.2.i.b.487.4 | 140 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.e.b.4.2 | ✓ | 140 | 1.1 | even | 1 | trivial | |
177.2.e.b.133.2 | yes | 140 | 59.15 | even | 29 | inner | |
531.2.i.b.181.4 | 140 | 3.2 | odd | 2 | |||
531.2.i.b.487.4 | 140 | 177.74 | odd | 58 |