Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,2,Mod(59,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.bb (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.03431527681\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 219.12 | ||
Character | \(\chi\) | \(=\) | 380.219 |
Dual form | 380.2.bb.a.59.12 |
$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(e\left(\frac{17}{18}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.05231 | + | 0.944795i | −0.744098 | + | 0.668071i | ||||
\(3\) | −0.108582 | − | 0.129403i | −0.0626900 | − | 0.0747110i | 0.733788 | − | 0.679378i | \(-0.237750\pi\) |
−0.796478 | + | 0.604667i | \(0.793306\pi\) | |||||||
\(4\) | 0.214726 | − | 1.98844i | 0.107363 | − | 0.994220i | ||||
\(5\) | 2.23516 | − | 0.0637665i | 0.999593 | − | 0.0285172i | ||||
\(6\) | 0.236522 | + | 0.0335848i | 0.0965597 | + | 0.0137109i | ||||
\(7\) | 0.176277 | − | 0.305321i | 0.0666265 | − | 0.115401i | −0.830788 | − | 0.556589i | \(-0.812110\pi\) |
0.897414 | + | 0.441189i | \(0.145443\pi\) | |||||||
\(8\) | 1.65271 | + | 2.29533i | 0.584321 | + | 0.811523i | ||||
\(9\) | 0.515989 | − | 2.92632i | 0.171996 | − | 0.975440i | ||||
\(10\) | −2.29184 | + | 2.17887i | −0.724744 | + | 0.689019i | ||||
\(11\) | 0.465827 | − | 0.268946i | 0.140452 | − | 0.0810901i | −0.428127 | − | 0.903718i | \(-0.640827\pi\) |
0.568579 | + | 0.822628i | \(0.307493\pi\) | |||||||
\(12\) | −0.280626 | + | 0.188123i | −0.0810097 | + | 0.0543064i | ||||
\(13\) | −2.90974 | − | 2.44156i | −0.807018 | − | 0.677168i | 0.142876 | − | 0.989741i | \(-0.454365\pi\) |
−0.949894 | + | 0.312572i | \(0.898809\pi\) | |||||||
\(14\) | 0.102967 | + | 0.487839i | 0.0275191 | + | 0.130381i | ||||
\(15\) | −0.250950 | − | 0.282313i | −0.0647950 | − | 0.0728929i | ||||
\(16\) | −3.90779 | − | 0.853938i | −0.976946 | − | 0.213484i | ||||
\(17\) | −1.16250 | + | 0.204980i | −0.281947 | + | 0.0497149i | −0.312833 | − | 0.949808i | \(-0.601278\pi\) |
0.0308862 | + | 0.999523i | \(0.490167\pi\) | |||||||
\(18\) | 2.22179 | + | 3.56691i | 0.523681 | + | 0.840729i | ||||
\(19\) | 1.57208 | − | 4.06553i | 0.360661 | − | 0.932697i | ||||
\(20\) | 0.353150 | − | 4.45817i | 0.0789667 | − | 0.996877i | ||||
\(21\) | −0.0586501 | + | 0.0103416i | −0.0127985 | + | 0.00225672i | ||||
\(22\) | −0.236098 | + | 0.723126i | −0.0503362 | + | 0.154171i | ||||
\(23\) | 5.38963 | − | 1.96166i | 1.12381 | − | 0.409035i | 0.287772 | − | 0.957699i | \(-0.407086\pi\) |
0.836043 | + | 0.548664i | \(0.184863\pi\) | |||||||
\(24\) | 0.117569 | − | 0.463098i | 0.0239986 | − | 0.0945295i | ||||
\(25\) | 4.99187 | − | 0.285056i | 0.998374 | − | 0.0570113i | ||||
\(26\) | 5.36874 | − | 0.179820i | 1.05290 | − | 0.0352656i | ||||
\(27\) | −0.873580 | + | 0.504362i | −0.168121 | + | 0.0970644i | ||||
\(28\) | −0.569262 | − | 0.416077i | −0.107580 | − | 0.0786312i | ||||
\(29\) | 2.19146 | + | 0.386413i | 0.406944 | + | 0.0717552i | 0.373373 | − | 0.927681i | \(-0.378201\pi\) |
0.0335705 | + | 0.999436i | \(0.489312\pi\) | |||||||
\(30\) | 0.530806 | + | 0.0599852i | 0.0969114 | + | 0.0109517i | ||||
\(31\) | −3.30786 | + | 5.72938i | −0.594110 | + | 1.02903i | 0.399562 | + | 0.916706i | \(0.369162\pi\) |
−0.993672 | + | 0.112322i | \(0.964171\pi\) | |||||||
\(32\) | 4.91901 | − | 2.79345i | 0.869566 | − | 0.493816i | ||||
\(33\) | −0.0853830 | − | 0.0310769i | −0.0148633 | − | 0.00540979i | ||||
\(34\) | 1.02965 | − | 1.31403i | 0.176583 | − | 0.225353i | ||||
\(35\) | 0.374538 | − | 0.693682i | 0.0633085 | − | 0.117254i | ||||
\(36\) | −5.70802 | − | 1.65437i | −0.951336 | − | 0.275728i | ||||
\(37\) | 0.773573 | 0.127175 | 0.0635873 | − | 0.997976i | \(-0.479746\pi\) | ||||
0.0635873 | + | 0.997976i | \(0.479746\pi\) | |||||||
\(38\) | 2.18677 | + | 5.76351i | 0.354741 | + | 0.934965i | ||||
\(39\) | 0.641641i | 0.102745i | ||||||||
\(40\) | 3.84043 | + | 5.02505i | 0.607226 | + | 0.794529i | ||||
\(41\) | −2.78057 | − | 3.31376i | −0.434253 | − | 0.517522i | 0.503891 | − | 0.863767i | \(-0.331901\pi\) |
−0.938144 | + | 0.346245i | \(0.887457\pi\) | |||||||
\(42\) | 0.0519476 | − | 0.0662949i | 0.00801569 | − | 0.0102295i | ||||
\(43\) | 10.6401 | + | 3.87268i | 1.62260 | + | 0.590578i | 0.983875 | − | 0.178858i | \(-0.0572402\pi\) |
0.638724 | + | 0.769436i | \(0.279462\pi\) | |||||||
\(44\) | −0.434757 | − | 0.984019i | −0.0655421 | − | 0.148346i | ||||
\(45\) | 0.966717 | − | 6.57370i | 0.144110 | − | 0.979949i | ||||
\(46\) | −3.81820 | + | 7.15637i | −0.562963 | + | 1.05515i | ||||
\(47\) | 0.460262 | − | 2.61027i | 0.0671361 | − | 0.380748i | −0.932664 | − | 0.360747i | \(-0.882522\pi\) |
0.999800 | − | 0.0200010i | \(-0.00636694\pi\) | |||||||
\(48\) | 0.313814 | + | 0.598403i | 0.0452951 | + | 0.0863720i | ||||
\(49\) | 3.43785 | + | 5.95454i | 0.491122 | + | 0.850648i | ||||
\(50\) | −4.98369 | + | 5.01626i | −0.704800 | + | 0.709406i | ||||
\(51\) | 0.152752 | + | 0.128174i | 0.0213895 | + | 0.0179479i | ||||
\(52\) | −5.47970 | + | 5.26158i | −0.759898 | + | 0.729650i | ||||
\(53\) | 4.14817 | − | 1.50981i | 0.569796 | − | 0.207389i | −0.0410244 | − | 0.999158i | \(-0.513062\pi\) |
0.610820 | + | 0.791770i | \(0.290840\pi\) | |||||||
\(54\) | 0.442761 | − | 1.35610i | 0.0602522 | − | 0.184542i | ||||
\(55\) | 1.02405 | − | 0.630840i | 0.138083 | − | 0.0850625i | ||||
\(56\) | 0.992149 | − | 0.0999921i | 0.132581 | − | 0.0133620i | ||||
\(57\) | −0.696793 | + | 0.238012i | −0.0922925 | + | 0.0315254i | ||||
\(58\) | −2.67118 | + | 1.66385i | −0.350743 | + | 0.218474i | ||||
\(59\) | 0.583091 | + | 3.30687i | 0.0759120 | + | 0.430518i | 0.998950 | + | 0.0458100i | \(0.0145869\pi\) |
−0.923038 | + | 0.384708i | \(0.874302\pi\) | |||||||
\(60\) | −0.615247 | + | 0.438379i | −0.0794281 | + | 0.0565945i | ||||
\(61\) | −6.49253 | + | 2.36309i | −0.831283 | + | 0.302562i | −0.722386 | − | 0.691491i | \(-0.756954\pi\) |
−0.108898 | + | 0.994053i | \(0.534732\pi\) | |||||||
\(62\) | −1.93219 | − | 9.15436i | −0.245388 | − | 1.16260i | ||||
\(63\) | −0.802511 | − | 0.673386i | −0.101107 | − | 0.0848387i | ||||
\(64\) | −2.53711 | + | 7.58703i | −0.317138 | + | 0.948379i | ||||
\(65\) | −6.65943 | − | 5.27174i | −0.826000 | − | 0.653879i | ||||
\(66\) | 0.119211 | − | 0.0479668i | 0.0146738 | − | 0.00590431i | ||||
\(67\) | −6.98470 | − | 1.23159i | −0.853317 | − | 0.150463i | −0.270153 | − | 0.962817i | \(-0.587074\pi\) |
−0.583164 | + | 0.812355i | \(0.698185\pi\) | |||||||
\(68\) | 0.157972 | + | 2.35557i | 0.0191569 | + | 0.285655i | ||||
\(69\) | −0.839063 | − | 0.484433i | −0.101011 | − | 0.0583189i | ||||
\(70\) | 0.261255 | + | 1.08383i | 0.0312260 | + | 0.129543i | ||||
\(71\) | 6.72322 | + | 2.44705i | 0.797899 | + | 0.290412i | 0.708616 | − | 0.705595i | \(-0.249320\pi\) |
0.0892837 | + | 0.996006i | \(0.471542\pi\) | |||||||
\(72\) | 7.56966 | − | 3.65199i | 0.892093 | − | 0.430391i | ||||
\(73\) | −7.32925 | − | 8.73466i | −0.857823 | − | 1.02231i | −0.999475 | − | 0.0323977i | \(-0.989686\pi\) |
0.141652 | − | 0.989917i | \(-0.454759\pi\) | |||||||
\(74\) | −0.814041 | + | 0.730868i | −0.0946304 | + | 0.0849617i | ||||
\(75\) | −0.578915 | − | 0.615012i | −0.0668474 | − | 0.0710154i | ||||
\(76\) | −7.74650 | − | 3.99897i | −0.888585 | − | 0.458713i | ||||
\(77\) | − | 0.189636i | − | 0.0216110i | ||||||
\(78\) | −0.606219 | − | 0.675207i | −0.0686408 | − | 0.0764521i | ||||
\(79\) | −5.66076 | + | 4.74994i | −0.636885 | + | 0.534410i | −0.903060 | − | 0.429515i | \(-0.858685\pi\) |
0.266175 | + | 0.963925i | \(0.414240\pi\) | |||||||
\(80\) | −8.78897 | − | 1.65950i | −0.982637 | − | 0.185538i | ||||
\(81\) | −8.21667 | − | 2.99062i | −0.912963 | − | 0.332291i | ||||
\(82\) | 6.05686 | + | 0.860040i | 0.668868 | + | 0.0949756i | ||||
\(83\) | −0.764089 | + | 1.32344i | −0.0838696 | + | 0.145266i | −0.904909 | − | 0.425605i | \(-0.860061\pi\) |
0.821039 | + | 0.570872i | \(0.193395\pi\) | |||||||
\(84\) | 0.00796996 | + | 0.118843i | 0.000869594 | + | 0.0129668i | ||||
\(85\) | −2.58530 | + | 0.532291i | −0.280415 | + | 0.0577350i | ||||
\(86\) | −14.8556 | + | 5.97744i | −1.60192 | + | 0.644564i | ||||
\(87\) | −0.187950 | − | 0.325540i | −0.0201504 | − | 0.0349015i | ||||
\(88\) | 1.38720 | + | 0.624740i | 0.147876 | + | 0.0665975i | ||||
\(89\) | 3.25011 | − | 3.87334i | 0.344511 | − | 0.410573i | −0.565770 | − | 0.824563i | \(-0.691421\pi\) |
0.910281 | + | 0.413991i | \(0.135865\pi\) | |||||||
\(90\) | 5.19350 | + | 7.83093i | 0.547443 | + | 0.825453i | ||||
\(91\) | −1.25838 | + | 0.458014i | −0.131914 | + | 0.0480129i | ||||
\(92\) | −2.74336 | − | 11.1382i | −0.286015 | − | 1.16123i | ||||
\(93\) | 1.10058 | − | 0.194061i | 0.114124 | − | 0.0201232i | ||||
\(94\) | 1.98183 | + | 3.18168i | 0.204411 | + | 0.328165i | ||||
\(95\) | 3.25461 | − | 9.18736i | 0.333916 | − | 0.942603i | ||||
\(96\) | −0.895598 | − | 0.333217i | −0.0914066 | − | 0.0340088i | ||||
\(97\) | 2.09122 | + | 11.8599i | 0.212331 | + | 1.20419i | 0.885478 | + | 0.464680i | \(0.153831\pi\) |
−0.673147 | + | 0.739508i | \(0.735058\pi\) | |||||||
\(98\) | −9.24351 | − | 3.01797i | −0.933736 | − | 0.304861i | ||||
\(99\) | −0.546659 | − | 1.50193i | −0.0549413 | − | 0.150950i | ||||
\(100\) | 0.505064 | − | 9.98724i | 0.0505064 | − | 0.998724i | ||||
\(101\) | −6.10589 | − | 5.12345i | −0.607559 | − | 0.509803i | 0.286306 | − | 0.958138i | \(-0.407573\pi\) |
−0.893865 | + | 0.448336i | \(0.852017\pi\) | |||||||
\(102\) | −0.281841 | + | 0.00943994i | −0.0279064 | + | 0.000934694i | ||||
\(103\) | −8.62565 | + | 4.98002i | −0.849911 | + | 0.490696i | −0.860621 | − | 0.509246i | \(-0.829924\pi\) |
0.0107099 | + | 0.999943i | \(0.496591\pi\) | |||||||
\(104\) | 0.795244 | − | 10.7140i | 0.0779801 | − | 1.05060i | ||||
\(105\) | −0.130433 | + | 0.0268550i | −0.0127289 | + | 0.00262078i | ||||
\(106\) | −2.93872 | + | 5.50797i | −0.285433 | + | 0.534981i | ||||
\(107\) | −9.83620 | − | 5.67893i | −0.950901 | − | 0.549003i | −0.0575406 | − | 0.998343i | \(-0.518326\pi\) |
−0.893361 | + | 0.449340i | \(0.851659\pi\) | |||||||
\(108\) | 0.815313 | + | 1.84536i | 0.0784535 | + | 0.177570i | ||||
\(109\) | −1.80107 | + | 4.94840i | −0.172511 | + | 0.473971i | −0.995574 | − | 0.0939794i | \(-0.970041\pi\) |
0.823063 | + | 0.567950i | \(0.192263\pi\) | |||||||
\(110\) | −0.481605 | + | 1.63136i | −0.0459192 | + | 0.155544i | ||||
\(111\) | −0.0839963 | − | 0.100103i | −0.00797257 | − | 0.00950134i | ||||
\(112\) | −0.949579 | + | 1.04260i | −0.0897268 | + | 0.0985164i | ||||
\(113\) | 15.1869 | 1.42867 | 0.714333 | − | 0.699806i | \(-0.246730\pi\) | ||||
0.714333 | + | 0.699806i | \(0.246730\pi\) | |||||||
\(114\) | 0.508372 | − | 0.908790i | 0.0476134 | − | 0.0851159i | ||||
\(115\) | 11.9216 | − | 4.72831i | 1.11169 | − | 0.440917i | ||||
\(116\) | 1.23892 | − | 4.27461i | 0.115031 | − | 0.396888i | ||||
\(117\) | −8.64620 | + | 7.25502i | −0.799341 | + | 0.670727i | ||||
\(118\) | −3.73791 | − | 2.92897i | −0.344103 | − | 0.269633i | ||||
\(119\) | −0.142337 | + | 0.391069i | −0.0130480 | + | 0.0358492i | ||||
\(120\) | 0.233255 | − | 1.04259i | 0.0212931 | − | 0.0951754i | ||||
\(121\) | −5.35534 | + | 9.27572i | −0.486849 | + | 0.843247i | ||||
\(122\) | 4.59954 | − | 8.62082i | 0.416423 | − | 0.780492i | ||||
\(123\) | −0.126890 | + | 0.719631i | −0.0114413 | + | 0.0648869i | ||||
\(124\) | 10.6823 | + | 7.80773i | 0.959295 | + | 0.701155i | ||||
\(125\) | 11.1394 | − | 0.955460i | 0.996342 | − | 0.0854589i | ||||
\(126\) | 1.48070 | − | 0.0495946i | 0.131912 | − | 0.00441824i | ||||
\(127\) | −10.1362 | + | 12.0799i | −0.899446 | + | 1.07192i | 0.0976092 | + | 0.995225i | \(0.468880\pi\) |
−0.997055 | + | 0.0766927i | \(0.975564\pi\) | |||||||
\(128\) | −4.49836 | − | 10.3810i | −0.397603 | − | 0.917558i | ||||
\(129\) | −0.654188 | − | 1.79737i | −0.0575980 | − | 0.158249i | ||||
\(130\) | 11.9885 | − | 0.744272i | 1.05146 | − | 0.0652770i | ||||
\(131\) | −16.1902 | + | 2.85477i | −1.41455 | + | 0.249423i | −0.828107 | − | 0.560571i | \(-0.810582\pi\) |
−0.586439 | + | 0.809993i | \(0.699471\pi\) | |||||||
\(132\) | −0.0801284 | + | 0.163106i | −0.00697428 | + | 0.0141965i | ||||
\(133\) | −0.964171 | − | 1.19665i | −0.0836042 | − | 0.103763i | ||||
\(134\) | 8.51369 | − | 5.30309i | 0.735471 | − | 0.458117i | ||||
\(135\) | −1.92043 | + | 1.18303i | −0.165284 | + | 0.101819i | ||||
\(136\) | −2.39177 | − | 2.32955i | −0.205092 | − | 0.199757i | ||||
\(137\) | 7.03395 | + | 19.3256i | 0.600950 | + | 1.65110i | 0.749353 | + | 0.662171i | \(0.230365\pi\) |
−0.148402 | + | 0.988927i | \(0.547413\pi\) | |||||||
\(138\) | 1.34065 | − | 0.282967i | 0.114123 | − | 0.0240877i | ||||
\(139\) | 5.01188 | − | 5.97293i | 0.425102 | − | 0.506617i | −0.510400 | − | 0.859937i | \(-0.670503\pi\) |
0.935503 | + | 0.353320i | \(0.114947\pi\) | |||||||
\(140\) | −1.29892 | − | 0.893698i | −0.109779 | − | 0.0755313i | ||||
\(141\) | −0.387754 | + | 0.223870i | −0.0326548 | + | 0.0188532i | ||||
\(142\) | −9.38689 | + | 3.77700i | −0.787731 | + | 0.316959i | ||||
\(143\) | −2.01209 | − | 0.354785i | −0.168259 | − | 0.0296686i | ||||
\(144\) | −4.51527 | + | 10.9948i | −0.376273 | + | 0.916235i | ||||
\(145\) | 4.92290 | + | 0.723954i | 0.408825 | + | 0.0601211i | ||||
\(146\) | 15.9651 | + | 2.26696i | 1.32128 | + | 0.187615i | ||||
\(147\) | 0.397246 | − | 1.09143i | 0.0327643 | − | 0.0900193i | ||||
\(148\) | 0.166106 | − | 1.53820i | 0.0136538 | − | 0.126440i | ||||
\(149\) | 0.955499 | − | 0.801759i | 0.0782775 | − | 0.0656826i | −0.602809 | − | 0.797885i | \(-0.705952\pi\) |
0.681087 | + | 0.732203i | \(0.261508\pi\) | |||||||
\(150\) | 1.19026 | + | 0.100229i | 0.0971843 | + | 0.00818365i | ||||
\(151\) | 22.9818 | 1.87023 | 0.935117 | − | 0.354338i | \(-0.115294\pi\) | ||||
0.935117 | + | 0.354338i | \(0.115294\pi\) | |||||||
\(152\) | 11.9299 | − | 3.11069i | 0.967646 | − | 0.252310i | ||||
\(153\) | 3.50761i | 0.283574i | ||||||||
\(154\) | 0.179167 | + | 0.199556i | 0.0144377 | + | 0.0160807i | ||||
\(155\) | −7.02825 | + | 13.0170i | −0.564523 | + | 1.04555i | ||||
\(156\) | 1.27586 | + | 0.137777i | 0.102151 | + | 0.0110310i | ||||
\(157\) | −4.71179 | + | 12.9455i | −0.376041 | + | 1.03317i | 0.596941 | + | 0.802285i | \(0.296383\pi\) |
−0.972982 | + | 0.230880i | \(0.925839\pi\) | |||||||
\(158\) | 1.46917 | − | 10.3467i | 0.116881 | − | 0.823137i | ||||
\(159\) | −0.645792 | − | 0.372848i | −0.0512147 | − | 0.0295688i | ||||
\(160\) | 10.8166 | − | 6.55746i | 0.855130 | − | 0.518413i | ||||
\(161\) | 0.351131 | − | 1.99136i | 0.0276730 | − | 0.156941i | ||||
\(162\) | 11.4720 | − | 4.61599i | 0.901328 | − | 0.362667i | ||||
\(163\) | −6.76334 | − | 11.7144i | −0.529746 | − | 0.917546i | −0.999398 | − | 0.0346948i | \(-0.988954\pi\) |
0.469652 | − | 0.882851i | \(-0.344379\pi\) | |||||||
\(164\) | −7.18627 | + | 4.81746i | −0.561154 | + | 0.376180i | ||||
\(165\) | −0.192826 | − | 0.0640171i | −0.0150115 | − | 0.00498373i | ||||
\(166\) | −0.446319 | − | 2.11458i | −0.0346411 | − | 0.164123i | ||||
\(167\) | 4.76621 | + | 13.0951i | 0.368820 | + | 1.01333i | 0.975811 | + | 0.218616i | \(0.0701544\pi\) |
−0.606991 | + | 0.794709i | \(0.707623\pi\) | |||||||
\(168\) | −0.120669 | − | 0.117530i | −0.00930982 | − | 0.00906763i | ||||
\(169\) | 0.247942 | + | 1.40615i | 0.0190725 | + | 0.108165i | ||||
\(170\) | 2.21764 | − | 3.00271i | 0.170085 | − | 0.230297i | ||||
\(171\) | −11.0859 | − | 6.69819i | −0.847758 | − | 0.512224i | ||||
\(172\) | 9.98529 | − | 20.3256i | 0.761371 | − | 1.54981i | ||||
\(173\) | 1.22760 | + | 6.96205i | 0.0933325 | + | 0.529315i | 0.995246 | + | 0.0973973i | \(0.0310517\pi\) |
−0.901913 | + | 0.431918i | \(0.857837\pi\) | |||||||
\(174\) | 0.505351 | + | 0.164995i | 0.0383105 | + | 0.0125082i | ||||
\(175\) | 0.792919 | − | 1.57437i | 0.0599390 | − | 0.119011i | ||||
\(176\) | −2.05002 | + | 0.653194i | −0.154526 | + | 0.0492363i | ||||
\(177\) | 0.364607 | − | 0.434522i | 0.0274055 | − | 0.0326606i | ||||
\(178\) | 0.239369 | + | 7.14665i | 0.0179415 | + | 0.535664i | ||||
\(179\) | −8.98666 | − | 15.5654i | −0.671695 | − | 1.16341i | −0.977423 | − | 0.211291i | \(-0.932233\pi\) |
0.305729 | − | 0.952119i | \(-0.401100\pi\) | |||||||
\(180\) | −12.8638 | − | 3.33380i | −0.958812 | − | 0.248487i | ||||
\(181\) | 5.47047 | + | 0.964591i | 0.406616 | + | 0.0716975i | 0.373216 | − | 0.927745i | \(-0.378255\pi\) |
0.0334007 | + | 0.999442i | \(0.489366\pi\) | |||||||
\(182\) | 0.891484 | − | 1.67089i | 0.0660812 | − | 0.123854i | ||||
\(183\) | 1.01076 | + | 0.583565i | 0.0747179 | + | 0.0431384i | ||||
\(184\) | 13.4102 | + | 9.12893i | 0.988610 | + | 0.672993i | ||||
\(185\) | 1.72906 | − | 0.0493280i | 0.127123 | − | 0.00362667i | ||||
\(186\) | −0.974802 | + | 1.24403i | −0.0714760 | + | 0.0912168i | ||||
\(187\) | −0.486395 | + | 0.408134i | −0.0355687 | + | 0.0298457i | ||||
\(188\) | −5.09154 | − | 1.47570i | −0.371339 | − | 0.107626i | ||||
\(189\) | 0.355630i | 0.0258683i | ||||||||
\(190\) | 5.25530 | + | 12.7429i | 0.381259 | + | 0.924468i | ||||
\(191\) | 8.81735i | 0.638001i | 0.947755 | + | 0.319001i | \(0.103347\pi\) | ||||
−0.947755 | + | 0.319001i | \(0.896653\pi\) | |||||||
\(192\) | 1.25727 | − | 0.495507i | 0.0907357 | − | 0.0357602i | ||||
\(193\) | −14.7524 | + | 12.3787i | −1.06190 | + | 0.891041i | −0.994294 | − | 0.106671i | \(-0.965981\pi\) |
−0.0676066 | + | 0.997712i | \(0.521536\pi\) | |||||||
\(194\) | −13.4058 | − | 10.5045i | −0.962478 | − | 0.754182i | ||||
\(195\) | 0.0409152 | + | 1.43417i | 0.00293000 | + | 0.102703i | ||||
\(196\) | 12.5784 | − | 5.55737i | 0.898459 | − | 0.396955i | ||||
\(197\) | 18.2159 | + | 10.5170i | 1.29783 | + | 0.749304i | 0.980029 | − | 0.198853i | \(-0.0637217\pi\) |
0.317803 | + | 0.948157i | \(0.397055\pi\) | |||||||
\(198\) | 1.99428 | + | 1.06402i | 0.141727 | + | 0.0756169i | ||||
\(199\) | 17.2506 | + | 3.04175i | 1.22286 | + | 0.215624i | 0.747557 | − | 0.664197i | \(-0.231226\pi\) |
0.475305 | + | 0.879821i | \(0.342338\pi\) | |||||||
\(200\) | 8.90440 | + | 10.9869i | 0.629636 | + | 0.776890i | ||||
\(201\) | 0.599042 | + | 1.03757i | 0.0422532 | + | 0.0731846i | ||||
\(202\) | 11.2659 | − | 0.377340i | 0.792667 | − | 0.0265495i | ||||
\(203\) | 0.504285 | − | 0.600983i | 0.0353938 | − | 0.0421807i | ||||
\(204\) | 0.287666 | − | 0.276215i | 0.0201406 | − | 0.0193389i | ||||
\(205\) | −6.42633 | − | 7.22947i | −0.448835 | − | 0.504928i | ||||
\(206\) | 4.37179 | − | 13.3900i | 0.304597 | − | 0.932927i | ||||
\(207\) | −2.95947 | − | 16.7840i | −0.205697 | − | 1.16657i | ||||
\(208\) | 9.28571 | + | 12.0259i | 0.643848 | + | 0.833843i | ||||
\(209\) | −0.361088 | − | 2.31664i | −0.0249769 | − | 0.160245i | ||||
\(210\) | 0.111884 | − | 0.151492i | 0.00772071 | − | 0.0104540i | ||||
\(211\) | −1.82576 | − | 10.3544i | −0.125691 | − | 0.712827i | −0.980895 | − | 0.194537i | \(-0.937680\pi\) |
0.855205 | − | 0.518291i | \(-0.173431\pi\) | |||||||
\(212\) | −2.11145 | − | 8.57259i | −0.145015 | − | 0.588768i | ||||
\(213\) | −0.413366 | − | 1.13571i | −0.0283233 | − | 0.0778177i | ||||
\(214\) | 15.7162 | − | 3.31718i | 1.07434 | − | 0.226757i | ||||
\(215\) | 24.0292 | + | 7.97757i | 1.63878 | + | 0.544066i | ||||
\(216\) | −2.60145 | − | 1.17159i | −0.177006 | − | 0.0797169i | ||||
\(217\) | 1.16620 | + | 2.01992i | 0.0791669 | + | 0.137121i | ||||
\(218\) | −2.77993 | − | 6.90891i | −0.188281 | − | 0.467930i | ||||
\(219\) | −0.334467 | + | 1.89686i | −0.0226012 | + | 0.128178i | ||||
\(220\) | −1.03450 | − | 2.17172i | −0.0697459 | − | 0.146417i | ||||
\(221\) | 3.88304 | + | 2.24188i | 0.261202 | + | 0.150805i | ||||
\(222\) | 0.182967 | + | 0.0259803i | 0.0122799 | + | 0.00174368i | ||||
\(223\) | 3.62008 | − | 9.94608i | 0.242418 | − | 0.666039i | −0.757495 | − | 0.652842i | \(-0.773577\pi\) |
0.999913 | − | 0.0131976i | \(-0.00420103\pi\) | |||||||
\(224\) | 0.0142115 | − | 1.99430i | 0.000949547 | − | 0.133250i | ||||
\(225\) | 1.74158 | − | 14.7549i | 0.116106 | − | 0.983660i | ||||
\(226\) | −15.9814 | + | 14.3485i | −1.06307 | + | 0.954450i | ||||
\(227\) | − | 1.80739i | − | 0.119961i | −0.998200 | − | 0.0599803i | \(-0.980896\pi\) | ||
0.998200 | − | 0.0599803i | \(-0.0191038\pi\) | |||||||
\(228\) | 0.323653 | + | 1.43664i | 0.0214344 | + | 0.0951437i | ||||
\(229\) | 0.747250 | 0.0493797 | 0.0246898 | − | 0.999695i | \(-0.492140\pi\) | ||||
0.0246898 | + | 0.999695i | \(0.492140\pi\) | |||||||
\(230\) | −8.07795 | + | 16.2391i | −0.532645 | + | 1.07077i | ||||
\(231\) | −0.0245395 | + | 0.0205911i | −0.00161458 | + | 0.00135479i | ||||
\(232\) | 2.73490 | + | 5.66876i | 0.179555 | + | 0.372172i | ||||
\(233\) | 4.01918 | − | 11.0426i | 0.263306 | − | 0.723426i | −0.735634 | − | 0.677380i | \(-0.763116\pi\) |
0.998939 | − | 0.0460466i | \(-0.0146623\pi\) | |||||||
\(234\) | 2.24400 | − | 15.8034i | 0.146695 | − | 1.03310i | ||||
\(235\) | 0.862310 | − | 5.86372i | 0.0562509 | − | 0.382507i | ||||
\(236\) | 6.70072 | − | 0.449371i | 0.436180 | − | 0.0292516i | ||||
\(237\) | 1.22931 | + | 0.216761i | 0.0798526 | + | 0.0140802i | ||||
\(238\) | −0.219696 | − | 0.546006i | −0.0142408 | − | 0.0353923i | ||||
\(239\) | −8.67765 | + | 5.01004i | −0.561311 | + | 0.324073i | −0.753671 | − | 0.657251i | \(-0.771719\pi\) |
0.192361 | + | 0.981324i | \(0.438386\pi\) | |||||||
\(240\) | 0.739581 | + | 1.31751i | 0.0477398 | + | 0.0850451i | ||||
\(241\) | 11.6615 | − | 13.8976i | 0.751181 | − | 0.895223i | −0.246075 | − | 0.969251i | \(-0.579141\pi\) |
0.997256 | + | 0.0740278i | \(0.0235854\pi\) | |||||||
\(242\) | −3.12816 | − | 14.8207i | −0.201086 | − | 0.952707i | ||||
\(243\) | 1.54020 | + | 4.23166i | 0.0988038 | + | 0.271461i | ||||
\(244\) | 3.30475 | + | 13.4174i | 0.211565 | + | 0.858962i | ||||
\(245\) | 8.06385 | + | 13.0901i | 0.515180 | + | 0.836297i | ||||
\(246\) | −0.546375 | − | 0.877162i | −0.0348356 | − | 0.0559258i | ||||
\(247\) | −14.5006 | + | 7.99131i | −0.922652 | + | 0.508475i | ||||
\(248\) | −18.6178 | + | 1.87636i | −1.18223 | + | 0.119149i | ||||
\(249\) | 0.254224 | − | 0.0448265i | 0.0161108 | − | 0.00284077i | ||||
\(250\) | −10.8195 | + | 11.5299i | −0.684283 | + | 0.729217i | ||||
\(251\) | −6.31812 | − | 17.3589i | −0.398796 | − | 1.09568i | −0.962871 | − | 0.269961i | \(-0.912989\pi\) |
0.564075 | − | 0.825724i | \(-0.309233\pi\) | |||||||
\(252\) | −1.51131 | + | 1.45115i | −0.0952035 | + | 0.0914139i | ||||
\(253\) | 1.98305 | − | 2.36331i | 0.124674 | − | 0.148580i | ||||
\(254\) | −0.746529 | − | 22.2885i | −0.0468414 | − | 1.39850i | ||||
\(255\) | 0.349597 | + | 0.276748i | 0.0218926 | + | 0.0173307i | ||||
\(256\) | 14.5416 | + | 6.67401i | 0.908849 | + | 0.417126i | ||||
\(257\) | 1.52649 | − | 8.65713i | 0.0952196 | − | 0.540017i | −0.899460 | − | 0.437003i | \(-0.856040\pi\) |
0.994680 | − | 0.103015i | \(-0.0328488\pi\) | |||||||
\(258\) | 2.38655 | + | 1.27332i | 0.148580 | + | 0.0792734i | ||||
\(259\) | 0.136363 | − | 0.236188i | 0.00847321 | − | 0.0146760i | ||||
\(260\) | −11.9125 | + | 12.1099i | −0.738781 | + | 0.751024i | ||||
\(261\) | 2.26154 | − | 6.21353i | 0.139986 | − | 0.384608i | ||||
\(262\) | 14.3400 | − | 18.3005i | 0.885928 | − | 1.13061i | ||||
\(263\) | −19.8411 | + | 16.6487i | −1.22345 | + | 1.02660i | −0.224818 | + | 0.974401i | \(0.572179\pi\) |
−0.998637 | + | 0.0521999i | \(0.983377\pi\) | |||||||
\(264\) | −0.0697815 | − | 0.247343i | −0.00429475 | − | 0.0152229i | ||||
\(265\) | 9.17555 | − | 3.63918i | 0.563650 | − | 0.223553i | ||||
\(266\) | 2.14520 | + | 0.348308i | 0.131531 | + | 0.0213562i | ||||
\(267\) | −0.854127 | −0.0522717 | ||||||||
\(268\) | −3.94874 | + | 13.6242i | −0.241208 | + | 0.832230i | ||||
\(269\) | −4.22376 | − | 5.03368i | −0.257527 | − | 0.306909i | 0.621753 | − | 0.783213i | \(-0.286421\pi\) |
−0.879281 | + | 0.476304i | \(0.841976\pi\) | |||||||
\(270\) | 0.903168 | − | 3.05933i | 0.0549651 | − | 0.186185i | ||||
\(271\) | −5.55145 | + | 15.2525i | −0.337226 | + | 0.926522i | 0.648951 | + | 0.760830i | \(0.275208\pi\) |
−0.986178 | + | 0.165692i | \(0.947014\pi\) | |||||||
\(272\) | 4.71783 | + | 0.191684i | 0.286061 | + | 0.0116226i | ||||
\(273\) | 0.195906 | + | 0.113107i | 0.0118568 | + | 0.00684553i | ||||
\(274\) | −25.6606 | − | 13.6910i | −1.55022 | − | 0.827101i | ||||
\(275\) | 2.24868 | − | 1.47533i | 0.135601 | − | 0.0889656i | ||||
\(276\) | −1.14343 | + | 1.56441i | −0.0688267 | + | 0.0941662i | ||||
\(277\) | −14.9324 | + | 8.62125i | −0.897203 | + | 0.518000i | −0.876292 | − | 0.481781i | \(-0.839990\pi\) |
−0.0209114 | + | 0.999781i | \(0.506657\pi\) | |||||||
\(278\) | 0.369123 | + | 11.0206i | 0.0221385 | + | 0.660971i | ||||
\(279\) | 15.0592 | + | 12.6362i | 0.901571 | + | 0.756508i | ||||
\(280\) | 2.21123 | − | 0.286764i | 0.132146 | − | 0.0171374i | ||||
\(281\) | 8.80831 | + | 24.2006i | 0.525460 | + | 1.44369i | 0.864364 | + | 0.502867i | \(0.167722\pi\) |
−0.338904 | + | 0.940821i | \(0.610056\pi\) | |||||||
\(282\) | 0.196528 | − | 0.601929i | 0.0117030 | − | 0.0358444i | ||||
\(283\) | −4.11288 | − | 23.3253i | −0.244486 | − | 1.38655i | −0.821684 | − | 0.569943i | \(-0.806965\pi\) |
0.577199 | − | 0.816604i | \(-0.304146\pi\) | |||||||
\(284\) | 6.30946 | − | 12.8433i | 0.374398 | − | 0.762108i | ||||
\(285\) | −1.54227 | + | 0.576426i | −0.0913560 | + | 0.0341445i | ||||
\(286\) | 2.45254 | − | 1.52766i | 0.145022 | − | 0.0903326i | ||||
\(287\) | −1.50191 | + | 0.264828i | −0.0886551 | + | 0.0156323i | ||||
\(288\) | −5.63636 | − | 15.8360i | −0.332126 | − | 0.933145i | ||||
\(289\) | −14.6654 | + | 5.33777i | −0.862670 | + | 0.313986i | ||||
\(290\) | −5.86442 | + | 3.88930i | −0.344371 | + | 0.228388i | ||||
\(291\) | 1.30764 | − | 1.55838i | 0.0766551 | − | 0.0913540i | ||||
\(292\) | −18.9421 | + | 12.6982i | −1.10850 | + | 0.743107i | ||||
\(293\) | −7.68269 | − | 13.3068i | −0.448828 | − | 0.777392i | 0.549482 | − | 0.835505i | \(-0.314825\pi\) |
−0.998310 | + | 0.0581131i | \(0.981492\pi\) | |||||||
\(294\) | 0.613146 | + | 1.52384i | 0.0357594 | + | 0.0888720i | ||||
\(295\) | 1.51417 | + | 7.35421i | 0.0881583 | + | 0.428178i | ||||
\(296\) | 1.27849 | + | 1.77561i | 0.0743108 | + | 0.103205i | ||||
\(297\) | −0.271292 | + | 0.469891i | −0.0157419 | + | 0.0272658i | ||||
\(298\) | −0.247986 | + | 1.74645i | −0.0143655 | + | 0.101169i | ||||
\(299\) | −20.4720 | − | 7.45118i | −1.18392 | − | 0.430913i | ||||
\(300\) | −1.34722 | + | 1.01908i | −0.0777819 | + | 0.0588366i | ||||
\(301\) | 3.05802 | − | 2.56598i | 0.176261 | − | 0.147901i | ||||
\(302\) | −24.1841 | + | 21.7131i | −1.39164 | + | 1.24945i | ||||
\(303\) | 1.34644i | 0.0773508i | ||||||||
\(304\) | −9.61508 | + | 14.5448i | −0.551462 | + | 0.834200i | ||||
\(305\) | −14.3612 | + | 5.69588i | −0.822317 | + | 0.326145i | ||||
\(306\) | −3.31397 | − | 3.69111i | −0.189447 | − | 0.211006i | ||||
\(307\) | 2.89483 | + | 3.44993i | 0.165217 | + | 0.196898i | 0.842300 | − | 0.539008i | \(-0.181201\pi\) |
−0.677084 | + | 0.735906i | \(0.736756\pi\) | |||||||
\(308\) | −0.377080 | − | 0.0407197i | −0.0214861 | − | 0.00232022i | ||||
\(309\) | 1.58102 | + | 0.575446i | 0.0899413 | + | 0.0327360i | ||||
\(310\) | −4.90248 | − | 20.3382i | −0.278442 | − | 1.15513i | ||||
\(311\) | 27.8935 | + | 16.1043i | 1.58170 | + | 0.913194i | 0.994612 | + | 0.103669i | \(0.0330582\pi\) |
0.587086 | + | 0.809525i | \(0.300275\pi\) | |||||||
\(312\) | −1.47278 | + | 1.06045i | −0.0833797 | + | 0.0600359i | ||||
\(313\) | −11.1710 | − | 1.96975i | −0.631422 | − | 0.111337i | −0.151228 | − | 0.988499i | \(-0.548323\pi\) |
−0.480194 | + | 0.877162i | \(0.659434\pi\) | |||||||
\(314\) | −7.27259 | − | 18.0744i | −0.410416 | − | 1.02000i | ||||
\(315\) | −1.83668 | − | 1.45395i | −0.103485 | − | 0.0819209i | ||||
\(316\) | 8.22946 | + | 12.2760i | 0.462943 | + | 0.690579i | ||||
\(317\) | 6.45464 | + | 5.41608i | 0.362528 | + | 0.304197i | 0.805798 | − | 0.592191i | \(-0.201737\pi\) |
−0.443269 | + | 0.896389i | \(0.646181\pi\) | |||||||
\(318\) | 1.03184 | − | 0.217788i | 0.0578628 | − | 0.0122129i | ||||
\(319\) | 1.12477 | − | 0.409381i | 0.0629748 | − | 0.0229210i | ||||
\(320\) | −5.18704 | + | 17.1200i | −0.289964 | + | 0.957038i | ||||
\(321\) | 0.333164 | + | 1.88947i | 0.0185954 | + | 0.105460i | ||||
\(322\) | 1.51193 | + | 2.42728i | 0.0842566 | + | 0.135267i | ||||
\(323\) | −0.994192 | + | 5.04842i | −0.0553183 | + | 0.280902i | ||||
\(324\) | −7.71100 | + | 15.6962i | −0.428389 | + | 0.872010i | ||||
\(325\) | −15.2210 | − | 11.3585i | −0.844311 | − | 0.630058i | ||||
\(326\) | 18.1849 | + | 5.93730i | 1.00717 | + | 0.328836i | ||||
\(327\) | 0.835903 | − | 0.304244i | 0.0462256 | − | 0.0168247i | ||||
\(328\) | 3.01070 | − | 11.8590i | 0.166238 | − | 0.654805i | ||||
\(329\) | −0.715838 | − | 0.600660i | −0.0394654 | − | 0.0331154i | ||||
\(330\) | 0.263397 | − | 0.114815i | 0.0144995 | − | 0.00632036i | ||||
\(331\) | −13.0871 | − | 22.6674i | −0.719330 | − | 1.24592i | −0.961266 | − | 0.275623i | \(-0.911116\pi\) |
0.241936 | − | 0.970292i | \(-0.422218\pi\) | |||||||
\(332\) | 2.46751 | + | 1.80352i | 0.135422 | + | 0.0989811i | ||||
\(333\) | 0.399156 | − | 2.26372i | 0.0218736 | − | 0.124051i | ||||
\(334\) | −17.3877 | − | 9.27700i | −0.951412 | − | 0.507615i | ||||
\(335\) | −15.6904 | − | 2.30741i | −0.857260 | − | 0.126067i | ||||
\(336\) | 0.238023 | + | 0.00967081i | 0.0129852 | + | 0.000527586i | ||||
\(337\) | −16.5722 | − | 6.03180i | −0.902746 | − | 0.328573i | −0.151394 | − | 0.988474i | \(-0.548376\pi\) |
−0.751353 | + | 0.659901i | \(0.770598\pi\) | |||||||
\(338\) | −1.58944 | − | 1.24546i | −0.0864540 | − | 0.0677439i | ||||
\(339\) | −1.64903 | − | 1.96524i | −0.0895631 | − | 0.106737i | ||||
\(340\) | 0.503299 | + | 5.25500i | 0.0272952 | + | 0.284993i | ||||
\(341\) | 3.55854i | 0.192706i | ||||||||
\(342\) | 17.9942 | − | 3.42528i | 0.973017 | − | 0.185218i | ||||
\(343\) | 4.89194 | 0.264140 | ||||||||
\(344\) | 8.69590 | + | 30.8230i | 0.468851 | + | 1.66186i | ||||
\(345\) | −1.90633 | − | 1.02928i | −0.102633 | − | 0.0554146i | ||||
\(346\) | −7.86953 | − | 6.16643i | −0.423068 | − | 0.331509i | ||||
\(347\) | 6.32576 | + | 2.30239i | 0.339585 | + | 0.123599i | 0.506183 | − | 0.862426i | \(-0.331056\pi\) |
−0.166598 | + | 0.986025i | \(0.553278\pi\) | |||||||
\(348\) | −0.687673 | + | 0.303826i | −0.0368632 | + | 0.0162868i | ||||
\(349\) | 2.63674 | − | 4.56697i | 0.141142 | − | 0.244464i | −0.786785 | − | 0.617227i | \(-0.788256\pi\) |
0.927927 | + | 0.372763i | \(0.121589\pi\) | |||||||
\(350\) | 0.653059 | + | 2.40588i | 0.0349075 | + | 0.128600i | ||||
\(351\) | 3.77332 | + | 0.665339i | 0.201405 | + | 0.0355132i | ||||
\(352\) | 1.54012 | − | 2.62421i | 0.0820889 | − | 0.139871i | ||||
\(353\) | 24.1899 | − | 13.9660i | 1.28750 | − | 0.743337i | 0.309290 | − | 0.950968i | \(-0.399909\pi\) |
0.978207 | + | 0.207631i | \(0.0665752\pi\) | |||||||
\(354\) | 0.0268531 | + | 0.801731i | 0.00142723 | + | 0.0426115i | ||||
\(355\) | 15.1835 | + | 5.04083i | 0.805857 | + | 0.267540i | ||||
\(356\) | −7.00401 | − | 7.29436i | −0.371212 | − | 0.386600i | ||||
\(357\) | 0.0660608 | − | 0.0240442i | 0.00349631 | − | 0.00127255i | ||||
\(358\) | 24.1629 | + | 7.88908i | 1.27705 | + | 0.416951i | ||||
\(359\) | 4.12396 | − | 0.727165i | 0.217654 | − | 0.0383783i | −0.0637576 | − | 0.997965i | \(-0.520308\pi\) |
0.281412 | + | 0.959587i | \(0.409197\pi\) | |||||||
\(360\) | 16.6865 | − | 8.64547i | 0.879457 | − | 0.455656i | ||||
\(361\) | −14.0571 | − | 12.7827i | −0.739848 | − | 0.672774i | ||||
\(362\) | −6.66798 | + | 4.15342i | −0.350461 | + | 0.218299i | ||||
\(363\) | 1.78180 | − | 0.314180i | 0.0935203 | − | 0.0164902i | ||||
\(364\) | 0.640526 | + | 2.60057i | 0.0335727 | + | 0.136307i | ||||
\(365\) | −16.9390 | − | 19.0560i | −0.886628 | − | 0.997436i | ||||
\(366\) | −1.61499 | + | 0.340872i | −0.0844169 | + | 0.0178177i | ||||
\(367\) | 4.01358 | + | 3.36779i | 0.209507 | + | 0.175797i | 0.741503 | − | 0.670950i | \(-0.234113\pi\) |
−0.531996 | + | 0.846747i | \(0.678558\pi\) | |||||||
\(368\) | −22.7366 | + | 3.06335i | −1.18523 | + | 0.159688i | ||||
\(369\) | −11.1319 | + | 6.42699i | −0.579502 | + | 0.334576i | ||||
\(370\) | −1.77291 | + | 1.68551i | −0.0921690 | + | 0.0876257i | ||||
\(371\) | 0.270251 | − | 1.53267i | 0.0140307 | − | 0.0795723i | ||||
\(372\) | −0.149557 | − | 2.23010i | −0.00775418 | − | 0.115625i | ||||
\(373\) | 8.38038 | − | 14.5152i | 0.433920 | − | 0.751571i | −0.563287 | − | 0.826261i | \(-0.690464\pi\) |
0.997207 | + | 0.0746904i | \(0.0237968\pi\) | |||||||
\(374\) | 0.126237 | − | 0.889028i | 0.00652756 | − | 0.0459706i | ||||
\(375\) | −1.33318 | − | 1.33773i | −0.0688453 | − | 0.0690803i | ||||
\(376\) | 6.75213 | − | 3.25757i | 0.348214 | − | 0.167996i | ||||
\(377\) | −5.43313 | − | 6.47495i | −0.279820 | − | 0.333477i | ||||
\(378\) | −0.335997 | − | 0.374234i | −0.0172818 | − | 0.0192485i | ||||
\(379\) | 7.16672 | 0.368130 | 0.184065 | − | 0.982914i | \(-0.441074\pi\) | ||||
0.184065 | + | 0.982914i | \(0.441074\pi\) | |||||||
\(380\) | −17.5697 | − | 8.44436i | −0.901304 | − | 0.433186i | ||||
\(381\) | 2.66379 | 0.136470 | ||||||||
\(382\) | −8.33059 | − | 9.27861i | −0.426230 | − | 0.474735i | ||||
\(383\) | 21.4278 | + | 25.5367i | 1.09491 | + | 1.30486i | 0.948898 | + | 0.315582i | \(0.102200\pi\) |
0.146013 | + | 0.989283i | \(0.453356\pi\) | |||||||
\(384\) | −0.854890 | + | 1.70929i | −0.0436259 | + | 0.0872269i | ||||
\(385\) | −0.0120924 | − | 0.423866i | −0.000616286 | − | 0.0216022i | ||||
\(386\) | 3.82878 | − | 26.9643i | 0.194880 | − | 1.37245i | ||||
\(387\) | 16.8229 | − | 29.1381i | 0.855155 | − | 1.48117i | ||||
\(388\) | 24.0317 | − | 1.61164i | 1.22002 | − | 0.0818186i | ||||
\(389\) | 1.25719 | − | 7.12991i | 0.0637423 | − | 0.361501i | −0.936207 | − | 0.351449i | \(-0.885689\pi\) |
0.999949 | − | 0.0100520i | \(-0.00319969\pi\) | |||||||
\(390\) | −1.39805 | − | 1.47054i | −0.0707930 | − | 0.0744636i | ||||
\(391\) | −5.86333 | + | 3.38519i | −0.296521 | + | 0.171197i | ||||
\(392\) | −7.98587 | + | 17.7321i | −0.403347 | + | 0.895608i | ||||
\(393\) | 2.12739 | + | 1.78509i | 0.107312 | + | 0.0900458i | ||||
\(394\) | −29.1053 | + | 6.14317i | −1.46630 | + | 0.309489i | ||||
\(395\) | −12.3498 | + | 10.9778i | −0.621386 | + | 0.552355i | ||||
\(396\) | −3.10389 | + | 0.764495i | −0.155976 | + | 0.0384173i | ||||
\(397\) | 1.69283 | − | 0.298492i | 0.0849608 | − | 0.0149809i | −0.131006 | − | 0.991382i | \(-0.541821\pi\) |
0.215967 | + | 0.976401i | \(0.430710\pi\) | |||||||
\(398\) | −21.0269 | + | 13.0974i | −1.05398 | + | 0.656514i | ||||
\(399\) | −0.0501588 | + | 0.254702i | −0.00251108 | + | 0.0127510i | ||||
\(400\) | −19.7506 | − | 3.14881i | −0.987529 | − | 0.157440i | ||||
\(401\) | 14.9749 | − | 2.64047i | 0.747809 | − | 0.131859i | 0.213259 | − | 0.976996i | \(-0.431592\pi\) |
0.534550 | + | 0.845137i | \(0.320481\pi\) | |||||||
\(402\) | −1.61067 | − | 0.525878i | −0.0803330 | − | 0.0262284i | ||||
\(403\) | 23.6137 | − | 8.59468i | 1.17628 | − | 0.428132i | ||||
\(404\) | −11.4988 | + | 11.0411i | −0.572085 | + | 0.549313i | ||||
\(405\) | −18.5563 | − | 6.16057i | −0.922068 | − | 0.306121i | ||||
\(406\) | 0.0371403 | + | 1.10887i | 0.00184324 | + | 0.0550322i | ||||
\(407\) | 0.360352 | − | 0.208049i | 0.0178620 | − | 0.0103126i | ||||
\(408\) | −0.0417476 | + | 0.562450i | −0.00206682 | + | 0.0278454i | ||||
\(409\) | −7.87743 | − | 1.38900i | −0.389514 | − | 0.0686818i | −0.0245384 | − | 0.999699i | \(-0.507812\pi\) |
−0.364976 | + | 0.931017i | \(0.618923\pi\) | |||||||
\(410\) | 13.5929 | + | 1.53610i | 0.671305 | + | 0.0758627i | ||||
\(411\) | 1.73703 | − | 3.00863i | 0.0856816 | − | 0.148405i | ||||
\(412\) | 8.05033 | + | 18.2209i | 0.396611 | + | 0.897681i | ||||
\(413\) | 1.11244 | + | 0.404897i | 0.0547398 | + | 0.0199237i | ||||
\(414\) | 18.9717 | + | 14.8659i | 0.932408 | + | 0.730619i | ||||
\(415\) | −1.62347 | + | 3.00682i | −0.0796929 | + | 0.147599i | ||||
\(416\) | −21.1334 | − | 3.88187i | −1.03615 | − | 0.190324i | ||||
\(417\) | −1.31712 | −0.0644995 | ||||||||
\(418\) | 2.56873 | + | 2.09668i | 0.125641 | + | 0.102552i | ||||
\(419\) | 29.5028i | 1.44131i | 0.693296 | + | 0.720653i | \(0.256158\pi\) | ||||
−0.693296 | + | 0.720653i | \(0.743842\pi\) | |||||||
\(420\) | 0.0253923 | + | 0.265124i | 0.00123902 | + | 0.0129367i | ||||
\(421\) | 15.3524 | + | 18.2962i | 0.748229 | + | 0.891704i | 0.997043 | − | 0.0768469i | \(-0.0244853\pi\) |
−0.248814 | + | 0.968551i | \(0.580041\pi\) | |||||||
\(422\) | 11.7041 | + | 9.17111i | 0.569745 | + | 0.446443i | ||||
\(423\) | −7.40101 | − | 2.69375i | −0.359849 | − | 0.130974i | ||||
\(424\) | 10.3212 | + | 7.02616i | 0.501244 | + | 0.341221i | ||||
\(425\) | −5.74461 | + | 1.35461i | −0.278654 | + | 0.0657082i | ||||
\(426\) | 1.50801 | + | 0.804580i | 0.0730631 | + | 0.0389820i | ||||
\(427\) | −0.422985 | + | 2.39887i | −0.0204697 | + | 0.116089i | ||||
\(428\) | −13.4043 | + | 18.3393i | −0.647921 | + | 0.886463i | ||||
\(429\) | 0.172566 | + | 0.298894i | 0.00833158 | + | 0.0144307i | ||||
\(430\) | −32.8235 | + | 14.3078i | −1.58289 | + | 0.689984i | ||||
\(431\) | 11.0099 | + | 9.23838i | 0.530327 | + | 0.444997i | 0.868214 | − | 0.496189i | \(-0.165268\pi\) |
−0.337887 | + | 0.941187i | \(0.609712\pi\) | |||||||
\(432\) | 3.84446 | − | 1.22495i | 0.184967 | − | 0.0589356i | ||||
\(433\) | −24.8805 | + | 9.05575i | −1.19568 | + | 0.435191i | −0.861714 | − | 0.507394i | \(-0.830609\pi\) |
−0.333965 | + | 0.942586i | \(0.608387\pi\) | |||||||
\(434\) | −3.13562 | − | 1.02377i | −0.150515 | − | 0.0491424i | ||||
\(435\) | −0.440857 | − | 0.715648i | −0.0211375 | − | 0.0343127i | ||||
\(436\) | 9.45286 | + | 4.64387i | 0.452710 | + | 0.222401i | ||||
\(437\) | 0.497733 | − | 24.9956i | 0.0238098 | − | 1.19570i | ||||
\(438\) | −1.44018 | − | 2.31209i | −0.0688143 | − | 0.110476i | ||||
\(439\) | 5.33260 | + | 30.2427i | 0.254511 | + | 1.44341i | 0.797324 | + | 0.603552i | \(0.206248\pi\) |
−0.542813 | + | 0.839854i | \(0.682641\pi\) | |||||||
\(440\) | 3.14044 | + | 1.30794i | 0.149715 | + | 0.0623534i | ||||
\(441\) | 19.1988 | − | 6.98778i | 0.914228 | − | 0.332752i | ||||
\(442\) | −6.20429 | + | 1.30952i | −0.295108 | + | 0.0622877i | ||||
\(443\) | 24.3577 | + | 20.4385i | 1.15727 | + | 0.971064i | 0.999864 | − | 0.0164704i | \(-0.00524292\pi\) |
0.157404 | + | 0.987534i | \(0.449687\pi\) | |||||||
\(444\) | −0.217085 | + | 0.145527i | −0.0103024 | + | 0.00690640i | ||||
\(445\) | 7.01753 | − | 8.86477i | 0.332663 | − | 0.420230i | ||||
\(446\) | 5.58755 | + | 13.8866i | 0.264578 | + | 0.657551i | ||||
\(447\) | −0.207500 | − | 0.0365879i | −0.00981443 | − | 0.00173055i | ||||
\(448\) | 1.86925 | + | 2.11205i | 0.0883137 | + | 0.0997852i | ||||
\(449\) | 21.7050 | + | 12.5314i | 1.02432 | + | 0.591391i | 0.915352 | − | 0.402654i | \(-0.131912\pi\) |
0.108968 | + | 0.994045i | \(0.465245\pi\) | |||||||
\(450\) | 12.1077 | + | 17.1722i | 0.570760 | + | 0.809506i | ||||
\(451\) | −2.18649 | − | 0.795817i | −0.102958 | − | 0.0374735i | ||||
\(452\) | 3.26102 | − | 30.1983i | 0.153386 | − | 1.42041i | ||||
\(453\) | −2.49542 | − | 2.97392i | −0.117245 | − | 0.139727i | ||||
\(454\) | 1.70761 | + | 1.90194i | 0.0801422 | + | 0.0892624i | ||||
\(455\) | −2.78348 | + | 1.10398i | −0.130492 | + | 0.0517552i | ||||
\(456\) | −1.69791 | − | 1.20601i | −0.0795121 | − | 0.0564765i | ||||
\(457\) | − | 28.0718i | − | 1.31314i | −0.754264 | − | 0.656571i | \(-0.772006\pi\) | ||
0.754264 | − | 0.656571i | \(-0.227994\pi\) | |||||||
\(458\) | −0.786341 | + | 0.705998i | −0.0367433 | + | 0.0329891i | ||||
\(459\) | 0.912151 | − | 0.765386i | 0.0425756 | − | 0.0357251i | ||||
\(460\) | −6.84208 | − | 24.7206i | −0.319014 | − | 1.15261i | ||||
\(461\) | 8.10603 | + | 2.95035i | 0.377535 | + | 0.137412i | 0.523816 | − | 0.851831i | \(-0.324508\pi\) |
−0.146280 | + | 0.989243i | \(0.546730\pi\) | |||||||
\(462\) | 0.00636889 | − | 0.0448531i | 0.000296307 | − | 0.00208675i | ||||
\(463\) | 19.5043 | − | 33.7824i | 0.906440 | − | 1.57000i | 0.0874686 | − | 0.996167i | \(-0.472122\pi\) |
0.818972 | − | 0.573834i | \(-0.194544\pi\) | |||||||
\(464\) | −8.23378 | − | 3.38139i | −0.382244 | − | 0.156977i | ||||
\(465\) | 2.44759 | − | 0.503937i | 0.113504 | − | 0.0233695i | ||||
\(466\) | 6.20357 | + | 15.4176i | 0.287375 | + | 0.714206i | ||||
\(467\) | 5.82760 | + | 10.0937i | 0.269669 | + | 0.467081i | 0.968776 | − | 0.247936i | \(-0.0797523\pi\) |
−0.699107 | + | 0.715017i | \(0.746419\pi\) | |||||||
\(468\) | 12.5696 | + | 18.7503i | 0.581031 | + | 0.866732i | ||||
\(469\) | −1.60727 | + | 1.91547i | −0.0742170 | + | 0.0884484i | ||||
\(470\) | 4.63260 | + | 6.98518i | 0.213686 | + | 0.322202i | ||||
\(471\) | 2.18681 | − | 0.795933i | 0.100763 | − | 0.0366747i | ||||
\(472\) | −6.62670 | + | 6.80369i | −0.305018 | + | 0.313165i | ||||
\(473\) | 5.99799 | − | 1.05761i | 0.275788 | − | 0.0486288i | ||||
\(474\) | −1.49842 | + | 0.933349i | −0.0688246 | + | 0.0428701i | ||||
\(475\) | 6.68873 | − | 20.7427i | 0.306900 | − | 0.951742i | ||||
\(476\) | 0.747053 | + | 0.367002i | 0.0342411 | + | 0.0168215i | ||||
\(477\) | −2.27778 | − | 12.9179i | −0.104292 | − | 0.591472i | ||||
\(478\) | 4.39814 | − | 13.4707i | 0.201166 | − | 0.616137i | ||||
\(479\) | −5.89779 | − | 16.2040i | −0.269477 | − | 0.740382i | −0.998440 | − | 0.0558292i | \(-0.982220\pi\) |
0.728963 | − | 0.684553i | \(-0.240002\pi\) | |||||||
\(480\) | −2.02305 | − | 0.687684i | −0.0923392 | − | 0.0313884i | ||||
\(481\) | −2.25090 | − | 1.88873i | −0.102632 | − | 0.0861186i | ||||
\(482\) | 0.858862 | + | 25.6423i | 0.0391201 | + | 1.16798i | ||||
\(483\) | −0.295815 | + | 0.170789i | −0.0134601 | + | 0.00777117i | ||||
\(484\) | 17.2943 | + | 12.6405i | 0.786103 | + | 0.574568i | ||||
\(485\) | 5.43047 | + | 26.3754i | 0.246585 | + | 1.19764i | ||||
\(486\) | −5.61882 | − | 2.99786i | −0.254875 | − | 0.135986i | ||||
\(487\) | −26.0280 | − | 15.0273i | −1.17944 | − | 0.680950i | −0.223555 | − | 0.974691i | \(-0.571766\pi\) |
−0.955885 | + | 0.293741i | \(0.905100\pi\) | |||||||
\(488\) | −16.1543 | − | 10.9970i | −0.731273 | − | 0.497812i | ||||
\(489\) | −0.781509 | + | 2.14718i | −0.0353411 | + | 0.0970987i | ||||
\(490\) | −20.8532 | − | 6.15622i | −0.942050 | − | 0.278109i | ||||
\(491\) | −12.0290 | − | 14.3357i | −0.542863 | − | 0.646959i | 0.422964 | − | 0.906147i | \(-0.360990\pi\) |
−0.965827 | + | 0.259187i | \(0.916545\pi\) | |||||||
\(492\) | 1.40370 | + | 0.406837i | 0.0632835 | + | 0.0183416i | ||||
\(493\) | −2.62677 | −0.118304 | ||||||||
\(494\) | 7.70904 | − | 22.1095i | 0.346846 | − | 0.994752i | ||||
\(495\) | −1.31764 | − | 3.32220i | −0.0592236 | − | 0.149322i | ||||
\(496\) | 17.8190 | − | 19.5645i | 0.800095 | − | 0.878472i | ||||
\(497\) | 1.93229 | − | 1.62138i | 0.0866750 | − | 0.0727289i | ||||
\(498\) | −0.225171 | + | 0.287361i | −0.0100902 | + | 0.0128770i | ||||
\(499\) | 1.26220 | − | 3.46788i | 0.0565040 | − | 0.155243i | −0.908229 | − | 0.418473i | \(-0.862565\pi\) |
0.964733 | + | 0.263230i | \(0.0847877\pi\) | |||||||
\(500\) | 0.492048 | − | 22.3553i | 0.0220051 | − | 0.999758i | ||||
\(501\) | 1.17702 | − | 2.03865i | 0.0525852 | − | 0.0910803i | ||||
\(502\) | 23.0492 | + | 12.2977i | 1.02874 | + | 0.548872i | ||||
\(503\) | −3.50139 | + | 19.8574i | −0.156119 | + | 0.885397i | 0.801636 | + | 0.597813i | \(0.203963\pi\) |
−0.957755 | + | 0.287585i | \(0.907148\pi\) | |||||||
\(504\) | 0.219329 | − | 2.95494i | 0.00976970 | − | 0.131624i | ||||
\(505\) | −13.9743 | − | 11.0624i | −0.621850 | − | 0.492269i | ||||
\(506\) | 0.146051 | + | 4.36052i | 0.00649276 | + | 0.193849i | ||||
\(507\) | 0.155038 | − | 0.184768i | 0.00688550 | − | 0.00820582i | ||||
\(508\) | 21.8436 | + | 22.7492i | 0.969155 | + | 1.00933i | ||||
\(509\) | −8.80102 | − | 24.1806i | −0.390098 | − | 1.07179i | −0.966956 | − | 0.254942i | \(-0.917944\pi\) |
0.576858 | − | 0.816844i | \(-0.304278\pi\) | |||||||
\(510\) | −0.629356 | + | 0.0390717i | −0.0278684 | + | 0.00173013i | ||||
\(511\) | −3.95886 | + | 0.698053i | −0.175129 | + | 0.0308800i | ||||
\(512\) | −21.6079 | + | 6.71566i | −0.954942 | + | 0.296793i | ||||
\(513\) | 0.677158 | + | 4.34447i | 0.0298973 | + | 0.191813i | ||||
\(514\) | 6.57287 | + | 10.5522i | 0.289917 | + | 0.465439i | ||||
\(515\) | −18.9621 | + | 11.6812i | −0.835572 | + | 0.514734i | ||||
\(516\) | −3.71443 | + | 0.914873i | −0.163518 | + | 0.0402750i | ||||
\(517\) | −0.487619 | − | 1.33972i | −0.0214455 | − | 0.0589209i | ||||
\(518\) | 0.0796525 | + | 0.377379i | 0.00349973 | + | 0.0165811i | ||||
\(519\) | 0.767616 | − | 0.914810i | 0.0336946 | − | 0.0401557i | ||||
\(520\) | 1.09430 | − | 23.9983i | 0.0479883 | − | 1.05239i | ||||
\(521\) | 14.1055 | − | 8.14382i | 0.617974 | − | 0.356787i | −0.158106 | − | 0.987422i | \(-0.550539\pi\) |
0.776080 | + | 0.630635i | \(0.217205\pi\) | |||||||
\(522\) | 3.49066 | + | 8.67527i | 0.152782 | + | 0.379706i | ||||
\(523\) | 3.09462 | + | 0.545665i | 0.135318 | + | 0.0238603i | 0.240897 | − | 0.970551i | \(-0.422558\pi\) |
−0.105579 | + | 0.994411i | \(0.533669\pi\) | |||||||
\(524\) | 2.20009 | + | 32.8063i | 0.0961113 | + | 1.43315i | ||||
\(525\) | −0.289826 | + | 0.0683425i | −0.0126490 | + | 0.00298271i | ||||
\(526\) | 5.14948 | − | 36.2654i | 0.224528 | − | 1.58125i | ||||
\(527\) | 2.67098 | − | 7.33844i | 0.116350 | − | 0.319668i | ||||
\(528\) | 0.307121 | + | 0.194353i | 0.0133657 | + | 0.00845815i | ||||
\(529\) | 7.58091 | − | 6.36114i | 0.329605 | − | 0.276571i | ||||
\(530\) | −6.21727 | + | 12.4986i | −0.270061 | + | 0.542903i | ||||
\(531\) | 9.97785 | 0.433002 | ||||||||
\(532\) | −2.58650 | + | 1.66024i | −0.112139 | + | 0.0719807i | ||||
\(533\) | 16.4311i | 0.711712i | ||||||||
\(534\) | 0.898809 | − | 0.806975i | 0.0388953 | − | 0.0349212i | ||||
\(535\) | −22.3476 | − | 12.0661i | −0.966171 | − | 0.521663i | ||||
\(536\) | −8.71676 | − | 18.0677i | −0.376507 | − | 0.780404i | ||||
\(537\) | −1.03842 | + | 2.85302i | −0.0448109 | + | 0.123117i | ||||
\(538\) | 9.20051 | + | 1.30642i | 0.396662 | + | 0.0563238i | ||||
\(539\) | 3.20289 | + | 1.84919i | 0.137958 | + | 0.0796503i | ||||
\(540\) | 1.94003 | + | 4.07268i | 0.0834854 | + | 0.175260i | ||||
\(541\) | −1.34105 | + | 7.60549i | −0.0576564 | + | 0.326986i | −0.999970 | − | 0.00774564i | \(-0.997534\pi\) |
0.942314 | + | 0.334731i | \(0.108646\pi\) | |||||||
\(542\) | −8.56860 | − | 21.2954i | −0.368053 | − | 0.914714i | ||||
\(543\) | −0.469174 | − | 0.812633i | −0.0201342 | − | 0.0348734i | ||||
\(544\) | −5.14574 | + | 4.25567i | −0.220622 | + | 0.182461i | ||||
\(545\) | −3.71014 | + | 11.1753i | −0.158925 | + | 0.478698i | ||||
\(546\) | −0.313018 | + | 0.0660678i | −0.0133959 | + | 0.00282744i | ||||
\(547\) | 13.1507 | + | 36.1314i | 0.562285 | + | 1.54487i | 0.816278 | + | 0.577660i | \(0.196034\pi\) |
−0.253992 | + | 0.967206i | \(0.581744\pi\) | |||||||
\(548\) | 39.9382 | − | 9.83687i | 1.70607 | − | 0.420210i | ||||
\(549\) | 3.56508 | + | 20.2186i | 0.152154 | + | 0.862907i | ||||
\(550\) | −0.972438 | + | 3.67705i | −0.0414649 | + | 0.156790i | ||||
\(551\) | 5.01613 | − | 8.30198i | 0.213694 | − | 0.353676i | ||||
\(552\) | −0.274791 | − | 2.72656i | −0.0116959 | − | 0.116050i | ||||
\(553\) | 0.452394 | + | 2.56565i | 0.0192378 | + | 0.109103i | ||||
\(554\) | 7.56829 | − | 23.1803i | 0.321546 | − | 0.984838i | ||||
\(555\) | −0.194128 | − | 0.218390i | −0.00824028 | − | 0.00927012i | ||||
\(556\) | −10.8006 | − | 11.2484i | −0.458049 | − | 0.477037i | ||||
\(557\) | −10.8639 | + | 12.9471i | −0.460317 | + | 0.548585i | −0.945412 | − | 0.325877i | \(-0.894341\pi\) |
0.485095 | + | 0.874461i | \(0.338785\pi\) | |||||||
\(558\) | −27.7856 | + | 0.930648i | −1.17626 | + | 0.0393975i | ||||
\(559\) | −21.5046 | − | 37.2470i | −0.909546 | − | 1.57538i | ||||
\(560\) | −2.05598 | + | 2.39093i | −0.0868809 | + | 0.101035i | ||||
\(561\) | 0.105628 | + | 0.0186250i | 0.00445960 | + | 0.000786349i | ||||
\(562\) | −32.1337 | − | 17.1446i | −1.35548 | − | 0.723201i | ||||
\(563\) | −28.0438 | − | 16.1911i | −1.18190 | − | 0.682372i | −0.225449 | − | 0.974255i | \(-0.572385\pi\) |
−0.956454 | + | 0.291883i | \(0.905718\pi\) | |||||||
\(564\) | 0.361891 | + | 0.819096i | 0.0152384 | + | 0.0344902i | ||||
\(565\) | 33.9452 | − | 0.968417i | 1.42809 | − | 0.0407416i | ||||
\(566\) | 26.3657 | + | 20.6597i | 1.10823 | + | 0.868392i | ||||
\(567\) | −2.36151 | + | 1.98154i | −0.0991742 | + | 0.0832170i | ||||
\(568\) | 5.49473 | + | 19.4763i | 0.230554 | + | 0.817207i | ||||
\(569\) | − | 24.2370i | − | 1.01607i | −0.861336 | − | 0.508035i | \(-0.830372\pi\) | ||
0.861336 | − | 0.508035i | \(-0.169628\pi\) | |||||||
\(570\) | 1.07834 | − | 2.06371i | 0.0451668 | − | 0.0864391i | ||||
\(571\) | − | 37.6440i | − | 1.57535i | −0.616090 | − | 0.787676i | \(-0.711284\pi\) | ||
0.616090 | − | 0.787676i | \(-0.288716\pi\) | |||||||
\(572\) | −1.13751 | + | 3.92473i | −0.0475619 | + | 0.164101i | ||||
\(573\) | 1.14099 | − | 0.957407i | 0.0476657 | − | 0.0399963i | ||||
\(574\) | 1.33028 | − | 1.69768i | 0.0555246 | − | 0.0708599i | ||||
\(575\) | 26.3451 | − | 11.3287i | 1.09867 | − | 0.472440i | ||||
\(576\) | 20.8930 | + | 11.3392i | 0.870541 | + | 0.472467i | ||||
\(577\) | 33.0145 | + | 19.0610i | 1.37441 | + | 0.793518i | 0.991480 | − | 0.130258i | \(-0.0415805\pi\) |
0.382934 | + | 0.923776i | \(0.374914\pi\) | |||||||
\(578\) | 10.3895 | − | 19.4728i | 0.432146 | − | 0.809961i | ||||
\(579\) | 3.20370 | + | 0.564898i | 0.133141 | + | 0.0234764i | ||||
\(580\) | 2.49661 | − | 9.63344i | 0.103666 | − | 0.400007i | ||||
\(581\) | 0.269383 | + | 0.466585i | 0.0111759 | + | 0.0193572i | ||||
\(582\) | 0.0963069 | + | 2.87536i | 0.00399205 | + | 0.119187i | ||||
\(583\) | 1.52628 | − | 1.81894i | 0.0632119 | − | 0.0753330i | ||||
\(584\) | 7.93583 | − | 31.2589i | 0.328387 | − | 1.29350i | ||||
\(585\) | −18.8630 | + | 16.7675i | −0.779889 | + | 0.693249i | ||||
\(586\) | 20.6568 | + | 6.74436i | 0.853325 | + | 0.278607i | ||||
\(587\) | −2.86570 | − | 16.2522i | −0.118280 | − | 0.670799i | −0.985074 | − | 0.172132i | \(-0.944934\pi\) |
0.866794 | − | 0.498667i | \(-0.166177\pi\) | |||||||
\(588\) | −2.08494 | − | 1.02426i | −0.0859813 | − | 0.0422397i | ||||
\(589\) | 18.0928 | + | 22.4553i | 0.745499 | + | 0.925254i | ||||
\(590\) | −8.54159 | − | 6.30835i | −0.351652 | − | 0.259711i | ||||
\(591\) | −0.616996 | − | 3.49916i | −0.0253798 | − | 0.143936i | ||||
\(592\) | −3.02296 | − | 0.660583i | −0.124243 | − | 0.0271498i | ||||
\(593\) | 2.47644 | + | 6.80396i | 0.101695 | + | 0.279405i | 0.980097 | − | 0.198517i | \(-0.0636124\pi\) |
−0.878402 | + | 0.477922i | \(0.841390\pi\) | |||||||
\(594\) | −0.158467 | − | 0.750787i | −0.00650197 | − | 0.0308052i | ||||
\(595\) | −0.293209 | + | 0.883177i | −0.0120204 | + | 0.0362067i | ||||
\(596\) | −1.38908 | − | 2.07211i | −0.0568989 | − | 0.0848769i | ||||
\(597\) | −1.47950 | − | 2.56256i | −0.0605518 | − | 0.104879i | ||||
\(598\) | 28.5827 | − | 11.5008i | 1.16884 | − | 0.470303i | ||||
\(599\) | 1.58315 | − | 8.97847i | 0.0646856 | − | 0.366850i | −0.935232 | − | 0.354035i | \(-0.884809\pi\) |
0.999918 | − | 0.0128156i | \(-0.00407945\pi\) | |||||||
\(600\) | 0.454878 | − | 2.34524i | 0.0185703 | − | 0.0957440i | ||||
\(601\) | 12.0081 | + | 6.93289i | 0.489822 | + | 0.282799i | 0.724500 | − | 0.689274i | \(-0.242071\pi\) |
−0.234679 | + | 0.972073i | \(0.575404\pi\) | |||||||
\(602\) | −0.793666 | + | 5.58941i | −0.0323474 | + | 0.227808i | ||||
\(603\) | −7.20806 | + | 19.8040i | −0.293535 | + | 0.806481i | ||||
\(604\) | 4.93479 | − | 45.6980i | 0.200794 | − | 1.85942i | ||||
\(605\) | −11.3785 | + | 21.0742i | −0.462604 | + | 0.856787i | ||||
\(606\) | −1.27211 | − | 1.41687i | −0.0516758 | − | 0.0575566i | ||||
\(607\) | − | 0.0255150i | − | 0.00103562i | −1.00000 | 0.000517812i | \(-0.999835\pi\) | |||
1.00000 | 0.000517812i | \(-0.000164825\pi\) | ||||||||
\(608\) | −3.62375 | − | 24.3899i | −0.146963 | − | 0.989142i | ||||
\(609\) | −0.132525 | −0.00537020 | ||||||||
\(610\) | 9.73099 | − | 19.5622i | 0.393996 | − | 0.792050i | ||||
\(611\) | −7.71239 | + | 6.47147i | −0.312010 | + | 0.261808i | ||||
\(612\) | 6.97467 | + | 0.753174i | 0.281934 | + | 0.0304453i | ||||
\(613\) | −11.9906 | + | 32.9440i | −0.484297 | + | 1.33059i | 0.421479 | + | 0.906838i | \(0.361511\pi\) |
−0.905776 | + | 0.423757i | \(0.860711\pi\) | |||||||
\(614\) | −6.30574 | − | 0.895380i | −0.254479 | − | 0.0361346i | ||||
\(615\) | −0.237732 | + | 1.61658i | −0.00958627 | + | 0.0651868i | ||||
\(616\) | 0.435278 | − | 0.313413i | 0.0175378 | − | 0.0126278i | ||||
\(617\) | 14.8841 | + | 2.62446i | 0.599210 | + | 0.105657i | 0.465022 | − | 0.885299i | \(-0.346046\pi\) |
0.134188 | + | 0.990956i | \(0.457158\pi\) | |||||||
\(618\) | −2.20741 | + | 0.888194i | −0.0887950 | + | 0.0357284i | ||||
\(619\) | −34.3479 | + | 19.8308i | −1.38056 | + | 0.797066i | −0.992225 | − | 0.124454i | \(-0.960282\pi\) |
−0.388333 | + | 0.921519i | \(0.626949\pi\) | |||||||
\(620\) | 24.3744 | + | 16.7703i | 0.978900 | + | 0.673513i | ||||
\(621\) | −3.71888 | + | 4.43199i | −0.149234 | + | 0.177850i | ||||
\(622\) | −44.5680 | + | 9.40686i | −1.78702 | + | 0.377181i | ||||
\(623\) | −0.609690 | − | 1.67511i | −0.0244267 | − | 0.0671119i | ||||
\(624\) | 0.547921 | − | 2.50739i | 0.0219344 | − | 0.100376i | ||||
\(625\) | 24.8375 | − | 2.84593i | 0.993499 | − | 0.113837i | ||||
\(626\) | 13.6164 | − | 8.48150i | 0.544220 | − | 0.338989i | ||||
\(627\) | −0.260573 | + | 0.298272i | −0.0104063 | + | 0.0119118i | ||||
\(628\) | 24.7297 | + | 12.1488i | 0.986821 | + | 0.484791i | ||||
\(629\) | −0.899278 | + | 0.158567i | −0.0358565 | + | 0.00632248i | ||||
\(630\) | 3.30645 | − | 0.205271i | 0.131732 | − | 0.00817820i | ||||
\(631\) | 3.46482 | + | 9.51953i | 0.137932 | + | 0.378966i | 0.989357 | − | 0.145511i | \(-0.0464828\pi\) |
−0.851424 | + | 0.524478i | \(0.824261\pi\) | |||||||
\(632\) | −20.2583 | − | 5.14305i | −0.805831 | − | 0.204580i | ||||
\(633\) | −1.14165 | + | 1.36056i | −0.0453765 | + | 0.0540776i | ||||
\(634\) | −11.9094 | + | 0.398892i | −0.472982 | + | 0.0158420i | ||||
\(635\) | −21.8858 | + | 27.6468i | −0.868512 | + | 1.09713i | ||||
\(636\) | −0.880055 | + | 1.20406i | −0.0348964 | + | 0.0477441i | ||||
\(637\) | 4.53511 | − | 25.7199i | 0.179688 | − | 1.01906i | ||||
\(638\) | −0.796824 | + | 1.49347i | −0.0315466 | + | 0.0591270i | ||||
\(639\) | 10.6300 | − | 18.4117i | 0.420515 | − | 0.728354i | ||||
\(640\) | −10.7165 | − | 22.9163i | −0.423607 | − | 0.905846i | ||||
\(641\) | −8.54858 | + | 23.4870i | −0.337649 | + | 0.927682i | 0.648411 | + | 0.761290i | \(0.275434\pi\) |
−0.986060 | + | 0.166392i | \(0.946788\pi\) | |||||||
\(642\) | −2.13575 | − | 1.67354i | −0.0842914 | − | 0.0660493i | ||||
\(643\) | −33.0725 | + | 27.7511i | −1.30425 | + | 1.09440i | −0.314860 | + | 0.949138i | \(0.601957\pi\) |
−0.989394 | + | 0.145260i | \(0.953598\pi\) | |||||||
\(644\) | −3.88431 | − | 1.12580i | −0.153063 | − | 0.0443627i | ||||
\(645\) | −1.57683 | − | 3.97568i | −0.0620874 | − | 0.156542i | ||||
\(646\) | −3.72352 | − | 6.25183i | −0.146500 | − | 0.245975i | ||||
\(647\) | 4.50838 | 0.177243 | 0.0886214 | − | 0.996065i | \(-0.471754\pi\) | ||||
0.0886214 | + | 0.996065i | \(0.471754\pi\) | |||||||
\(648\) | −6.71529 | − | 23.8026i | −0.263801 | − | 0.935055i | ||||
\(649\) | 1.16099 | + | 1.38361i | 0.0455728 | + | 0.0543115i | ||||
\(650\) | 26.7488 | − | 2.42803i | 1.04917 | − | 0.0952352i | ||||
\(651\) | 0.134755 | − | 0.370238i | 0.00528148 | − | 0.0145108i | ||||
\(652\) | −24.7457 | + | 10.9331i | −0.969118 | + | 0.428173i | ||||
\(653\) | 22.1636 | + | 12.7961i | 0.867327 | + | 0.500752i | 0.866459 | − | 0.499248i | \(-0.166390\pi\) |
0.000868020 | 1.00000i | \(0.499724\pi\) | ||||||||
\(654\) | −0.592184 | + | 1.10992i | −0.0231562 | + | 0.0434012i | ||||
\(655\) | −36.0057 | + | 7.41326i | −1.40686 | + | 0.289660i | ||||
\(656\) | 8.03615 | + | 15.3239i | 0.313759 | + | 0.598298i | ||||
\(657\) | −29.3422 | + | 16.9407i | −1.14475 | + | 0.660921i | ||||
\(658\) | 1.32079 | − | 0.0442383i | 0.0514896 | − | 0.00172459i | ||||
\(659\) | 19.1139 | + | 16.0385i | 0.744573 | + | 0.624771i | 0.934061 | − | 0.357112i | \(-0.116239\pi\) |
−0.189489 | + | 0.981883i | \(0.560683\pi\) | |||||||
\(660\) | −0.168699 | + | 0.369677i | −0.00656660 | + | 0.0143897i | ||||
\(661\) | −16.7028 | − | 45.8904i | −0.649662 | − | 1.78493i | −0.618986 | − | 0.785402i | \(-0.712456\pi\) |
−0.0306753 | − | 0.999529i | \(-0.509766\pi\) | |||||||
\(662\) | 35.1878 | + | 11.4887i | 1.36761 | + | 0.446520i | ||||
\(663\) | −0.131523 | − | 0.745906i | −0.00510794 | − | 0.0289686i | ||||
\(664\) | −4.30055 | + | 0.433424i | −0.166894 | + | 0.0168201i | ||||
\(665\) | −2.23138 | − | 2.61322i | −0.0865292 | − | 0.101336i | ||||
\(666\) | 1.71872 | + | 2.75927i | 0.0665990 | + | 0.106919i | ||||
\(667\) | 12.5692 | − | 2.21628i | 0.486680 | − | 0.0858148i | ||||
\(668\) | 27.0621 | − | 6.66548i | 1.04707 | − | 0.257895i | ||||
\(669\) | −1.68013 | + | 0.611518i | −0.0649576 | + | 0.0236426i | ||||
\(670\) | 18.6913 | − | 12.3961i | 0.722107 | − | 0.478904i | ||||
\(671\) | −2.38886 | + | 2.84693i | −0.0922208 | + | 0.109904i | ||||
\(672\) | −0.259612 | + | 0.214706i | −0.0100147 | + | 0.00828248i | ||||
\(673\) | −13.7919 | − | 23.8883i | −0.531640 | − | 0.920827i | −0.999318 | − | 0.0369281i | \(-0.988243\pi\) |
0.467678 | − | 0.883899i | \(-0.345091\pi\) | |||||||
\(674\) | 23.1380 | − | 9.31001i | 0.891242 | − | 0.358608i | ||||
\(675\) | −4.21702 | + | 2.76673i | −0.162313 | + | 0.106491i | ||||
\(676\) | 2.84929 | − | 0.191082i | 0.109588 | − | 0.00734930i | ||||
\(677\) | 18.5954 | − | 32.2082i | 0.714679 | − | 1.23786i | −0.248404 | − | 0.968657i | \(-0.579906\pi\) |
0.963083 | − | 0.269204i | \(-0.0867608\pi\) | |||||||
\(678\) | 3.59204 | + | 0.510050i | 0.137952 | + | 0.0195884i | ||||
\(679\) | 3.98971 | + | 1.45213i | 0.153111 | + | 0.0557278i | ||||
\(680\) | −5.49453 | − | 5.05440i | −0.210706 | − | 0.193827i | ||||
\(681\) | −0.233882 | + | 0.196250i | −0.00896238 | + | 0.00752033i | ||||
\(682\) | −3.36209 | − | 3.74470i | −0.128741 | − | 0.143392i | ||||
\(683\) | − | 36.9807i | − | 1.41503i | −0.706700 | − | 0.707513i | \(-0.749817\pi\) | ||
0.706700 | − | 0.707513i | \(-0.250183\pi\) | |||||||
\(684\) | −15.6994 | + | 20.6053i | −0.600281 | + | 0.787864i | ||||
\(685\) | 16.9543 | + | 42.7473i | 0.647791 | + | 1.63329i | ||||
\(686\) | −5.14786 | + | 4.62188i | −0.196546 | + | 0.176464i | ||||
\(687\) | −0.0811380 | − | 0.0966965i | −0.00309561 | − | 0.00368920i | ||||
\(688\) | −38.2722 | − | 24.2196i | −1.45911 | − | 0.923363i | ||||
\(689\) | −15.7564 | − | 5.73487i | −0.600272 | − | 0.218481i | ||||
\(690\) | 2.97851 | − | 0.717964i | 0.113390 | − | 0.0273324i | ||||
\(691\) | 7.97564 | + | 4.60474i | 0.303408 | + | 0.175172i | 0.643973 | − | 0.765049i | \(-0.277285\pi\) |
−0.340565 | + | 0.940221i | \(0.610618\pi\) | |||||||
\(692\) | 14.1072 | − | 0.946073i | 0.536276 | − | 0.0359643i | ||||
\(693\) | −0.554936 | − | 0.0978501i | −0.0210803 | − | 0.00371702i | ||||
\(694\) | −8.83197 | + | 3.55371i | −0.335257 | + | 0.134897i | ||||
\(695\) | 10.8215 | − | 13.6700i | 0.410482 | − | 0.518534i | ||||
\(696\) | 0.436594 | − | 0.969431i | 0.0165491 | − | 0.0367462i | ||||
\(697\) | 3.91167 | + | 3.28228i | 0.148165 | + | 0.124325i | ||||
\(698\) | 1.54017 | + | 7.29706i | 0.0582964 | + | 0.276198i | ||||
\(699\) | −1.86536 | + | 0.678936i | −0.0705545 | + | 0.0256797i | ||||
\(700\) | −2.96028 | − | 1.91473i | −0.111888 | − | 0.0723700i | ||||
\(701\) | 1.90882 | + | 10.8255i | 0.0720952 | + | 0.408872i | 0.999402 | + | 0.0345708i | \(0.0110064\pi\) |
−0.927307 | + | 0.374302i | \(0.877882\pi\) | |||||||
\(702\) | −4.59933 | + | 2.86487i | −0.173590 | + | 0.108128i | ||||
\(703\) | 1.21612 | − | 3.14499i | 0.0458669 | − | 0.118615i | ||||
\(704\) | 0.858646 | + | 4.21659i | 0.0323614 | + | 0.158919i | ||||
\(705\) | −0.852416 | + | 0.525110i | −0.0321039 | + | 0.0197768i | ||||
\(706\) | −12.2603 | + | 37.5511i | −0.461422 | + | 1.41325i | ||||
\(707\) | −2.64063 | + | 0.961110i | −0.0993111 | + | 0.0361463i | ||||
\(708\) | −0.785729 | − | 0.818302i | −0.0295295 | − | 0.0307537i | ||||
\(709\) | −15.2568 | − | 12.8020i | −0.572982 | − | 0.480789i | 0.309652 | − | 0.950850i | \(-0.399788\pi\) |
−0.882634 | + | 0.470061i | \(0.844232\pi\) | |||||||
\(710\) | −20.7404 | + | 9.04076i | −0.778372 | + | 0.339294i | ||||
\(711\) | 10.9790 | + | 19.0161i | 0.411743 | + | 0.713160i | ||||
\(712\) | 14.2621 | + | 1.05860i | 0.534494 | + | 0.0396726i | ||||
\(713\) | −6.58901 | + | 37.3681i | −0.246760 | + | 1.39945i | ||||
\(714\) | −0.0467999 | + | 0.0877160i | −0.00175144 | + | 0.00328269i | ||||
\(715\) | −4.51995 | − | 0.664697i | −0.169037 | − | 0.0248583i | ||||
\(716\) | −32.8804 | + | 14.5272i | −1.22880 | + | 0.542905i | ||||
\(717\) | 1.59055 | + | 0.578914i | 0.0594003 | + | 0.0216200i | ||||
\(718\) | −3.65267 | + | 4.66150i | −0.136317 | + | 0.173966i | ||||
\(719\) | −20.6011 | − | 24.5514i | −0.768290 | − | 0.915613i | 0.230051 | − | 0.973178i | \(-0.426111\pi\) |
−0.998342 | + | 0.0575658i | \(0.981666\pi\) | |||||||
\(720\) | −9.39125 | + | 24.8631i | −0.349991 | + | 0.926592i | ||||
\(721\) | 3.51146i | 0.130774i | ||||||||
\(722\) | 26.8695 | + | 0.170329i | 0.999980 | + | 0.00633900i | ||||
\(723\) | −3.06462 | −0.113975 | ||||||||
\(724\) | 3.09268 | − | 10.6706i | 0.114939 | − | 0.396569i | ||||
\(725\) | 11.0496 | + | 1.30424i | 0.410373 | + | 0.0484381i | ||||
\(726\) | −1.57818 | + | 2.01405i | −0.0585717 | + | 0.0747485i | ||||
\(727\) | 39.7704 | + | 14.4752i | 1.47500 | + | 0.536857i | 0.949454 | − | 0.313908i | \(-0.101638\pi\) |
0.525548 | + | 0.850764i | \(0.323860\pi\) | |||||||
\(728\) | −3.13104 | − | 2.13144i | −0.116044 | − | 0.0789966i | ||||
\(729\) | −12.7356 | + | 22.0588i | −0.471690 | + | 0.816992i | ||||
\(730\) | 35.8291 | + | 4.04897i | 1.32610 | + | 0.149859i | ||||
\(731\) | −13.1629 | − | 2.32098i | −0.486848 | − | 0.0858444i | ||||
\(732\) | 1.37742 | − | 1.88454i | 0.0509110 | − | 0.0696545i | ||||
\(733\) | −14.9446 | + | 8.62829i | −0.551993 | + | 0.318693i | −0.749925 | − | 0.661522i | \(-0.769911\pi\) |
0.197932 | + | 0.980216i | \(0.436577\pi\) | |||||||
\(734\) | −7.40541 | + | 0.248036i | −0.273339 | + | 0.00915518i | ||||
\(735\) | 0.818313 | − | 2.46484i | 0.0301839 | − | 0.0909170i | ||||
\(736\) | 21.0318 | − | 24.7051i | 0.775243 | − | 0.910641i | ||||
\(737\) | −3.58489 | + | 1.30479i | −0.132051 | + | 0.0480627i | ||||
\(738\) | 5.64203 | − | 17.2805i | 0.207686 | − | 0.636106i | ||||
\(739\) | 41.0588 | − | 7.23978i | 1.51037 | − | 0.266320i | 0.643732 | − | 0.765251i | \(-0.277385\pi\) |
0.866641 | + | 0.498932i | \(0.166274\pi\) | |||||||
\(740\) | 0.273187 | − | 3.44872i | 0.0100426 | − | 0.126778i | ||||
\(741\) | 2.60861 | + | 1.00871i | 0.0958297 | + | 0.0370560i | ||||
\(742\) | 1.16367 | + | 1.86818i | 0.0427197 | + | 0.0685831i | ||||
\(743\) | 8.97006 | − | 1.58166i | 0.329080 | − | 0.0580256i | −0.00666746 | − | 0.999978i | \(-0.502122\pi\) |
0.335747 | + | 0.941952i | \(0.391011\pi\) | |||||||
\(744\) | 2.26437 | + | 2.20546i | 0.0830157 | + | 0.0808561i | ||||
\(745\) | 2.08457 | − | 1.85299i | 0.0763726 | − | 0.0678882i | ||||
\(746\) | 4.89514 | + | 23.1923i | 0.179224 | + | 0.849131i | ||||
\(747\) | 3.47855 | + | 2.91885i | 0.127274 | + | 0.106795i | ||||
\(748\) | 0.707108 | + | 1.05480i | 0.0258544 | + | 0.0385675i | ||||
\(749\) | −3.46780 | + | 2.00213i | −0.126711 | + | 0.0731564i | ||||
\(750\) | 2.66681 | + | 0.148129i | 0.0973782 | + | 0.00540889i | ||||
\(751\) | −8.02258 | + | 45.4983i | −0.292748 | + | 1.66026i | 0.383469 | + | 0.923554i | \(0.374729\pi\) |
−0.676217 | + | 0.736702i | \(0.736382\pi\) | |||||||
\(752\) | −4.02762 | + | 9.80736i | −0.146872 | + | 0.357637i | ||||
\(753\) | −1.56026 | + | 2.70245i | −0.0568591 | + | 0.0984829i | ||||
\(754\) | 11.8349 | + | 1.68048i | 0.431000 | + | 0.0611996i | ||||
\(755\) | 51.3680 | − | 1.46547i | 1.86947 | − | 0.0533339i | ||||
\(756\) | 0.707149 | + | 0.0763629i | 0.0257188 | + | 0.00277729i | ||||
\(757\) | 1.50549 | + | 1.79418i | 0.0547181 | + | 0.0652105i | 0.792709 | − | 0.609600i | \(-0.208670\pi\) |
−0.737991 | + | 0.674810i | \(0.764225\pi\) | |||||||
\(758\) | −7.54163 | + | 6.77108i | −0.273924 | + | 0.245937i | ||||
\(759\) | −0.521145 | −0.0189163 | ||||||||
\(760\) | 26.4670 | − | 7.71361i | 0.960058 | − | 0.279802i | ||||
\(761\) | −37.7494 | −1.36841 | −0.684207 | − | 0.729288i | \(-0.739851\pi\) | ||||
−0.684207 | + | 0.729288i | \(0.739851\pi\) | |||||||
\(762\) | −2.80314 | + | 2.51674i | −0.101547 | + | 0.0911718i | ||||
\(763\) | 1.19336 | + | 1.42220i | 0.0432027 | + | 0.0514870i | ||||
\(764\) | 17.5328 | + | 1.89331i | 0.634313 | + | 0.0684976i | ||||
\(765\) | 0.223668 | + | 7.84007i | 0.00808673 | + | 0.283458i | ||||
\(766\) | −46.6757 | − | 6.62770i | −1.68646 | − | 0.239468i | ||||
\(767\) | 6.37730 | − | 11.0458i | 0.230271 | − | 0.398841i | ||||
\(768\) | −0.715318 | − | 2.60641i | −0.0258118 | − | 0.0940506i | ||||
\(769\) | 3.51096 | − | 19.9117i | 0.126609 | − | 0.718033i | −0.853731 | − | 0.520714i | \(-0.825666\pi\) |
0.980339 | − | 0.197318i | \(-0.0632233\pi\) | |||||||
\(770\) | 0.413192 | + | 0.434615i | 0.0148904 | + | 0.0156624i | ||||
\(771\) | −1.28601 | + | 0.742478i | −0.0463145 | + | 0.0267397i | ||||
\(772\) | 21.4466 | + | 31.9923i | 0.771882 | + | 1.15143i | ||||
\(773\) | 7.41424 | + | 6.22129i | 0.266672 | + | 0.223764i | 0.766312 | − | 0.642469i | \(-0.222090\pi\) |
−0.499640 | + | 0.866233i | \(0.666534\pi\) | |||||||
\(774\) | 9.82657 | + | 46.5565i | 0.353209 | + | 1.67344i | ||||
\(775\) | −14.8792 | + | 29.5433i | −0.534477 | + | 1.06123i | ||||
\(776\) | −23.7662 | + | 24.4010i | −0.853157 | + | 0.875944i | ||||
\(777\) | −0.0453702 | + | 0.00799998i | −0.00162765 | + | 0.000286998i | ||||
\(778\) | 5.41334 | + | 8.69068i | 0.194077 | + | 0.311576i | ||||
\(779\) | −17.8435 | + | 6.09501i | −0.639310 | + | 0.218376i | ||||
\(780\) | 2.86054 | + | 0.226595i | 0.102424 | + | 0.00811342i | ||||
\(781\) | 3.78998 | − | 0.668276i | 0.135616 | − | 0.0239128i | ||||
\(782\) | 2.97174 | − | 9.10193i | 0.106269 | − | 0.325484i | ||||
\(783\) | −2.10931 | + | 0.767725i | −0.0753805 | + | 0.0274363i | ||||
\(784\) | −8.34959 | − | 26.2048i | −0.298200 | − | 0.935884i | ||||
\(785\) | −9.70610 | + | 29.2358i | −0.346426 | + | 1.04347i | ||||
\(786\) | −3.92522 | + | 0.131471i | −0.140008 | + | 0.00468941i | ||||
\(787\) | −32.3581 | + | 18.6820i | −1.15344 | + | 0.665940i | −0.949724 | − | 0.313090i | \(-0.898636\pi\) |
−0.203718 | + | 0.979030i | \(0.565303\pi\) | |||||||
\(788\) | 24.8238 | − | 33.9630i | 0.884312 | − | 1.20988i | ||||
\(789\) | 4.30878 | + | 0.759754i | 0.153397 | + | 0.0270480i | ||||
\(790\) | 2.62406 | − | 23.2201i | 0.0933598 | − | 0.826135i | ||||
\(791\) | 2.67711 | − | 4.63689i | 0.0951871 | − | 0.164869i | ||||
\(792\) | 2.54397 | − | 3.73702i | 0.0903960 | − | 0.132789i | ||||
\(793\) | 24.6612 | + | 8.97595i | 0.875746 | + | 0.318745i | ||||
\(794\) | −1.49938 | + | 1.91349i | −0.0532108 | + | 0.0679070i | ||||
\(795\) | −1.46722 | − | 0.792196i | −0.0520371 | − | 0.0280963i | ||||
\(796\) | 9.75248 | − | 33.6486i | 0.345667 | − | 1.19264i | ||||
\(797\) | −49.7980 | −1.76394 | −0.881968 | − | 0.471309i | \(-0.843782\pi\) | ||||
−0.881968 | + | 0.471309i | \(0.843782\pi\) | |||||||
\(798\) | −0.187858 | − | 0.315416i | −0.00665011 | − | 0.0111656i | ||||
\(799\) | 3.12878i | 0.110688i | ||||||||
\(800\) | 23.7588 | − | 15.3467i | 0.839999 | − | 0.542588i | ||||
\(801\) | −9.65760 | − | 11.5095i | −0.341235 | − | 0.406668i | ||||
\(802\) | −13.2635 | + | 16.9268i | −0.468352 | + | 0.597705i | ||||
\(803\) | −5.76331 | − | 2.09767i | −0.203383 | − | 0.0740253i | ||||
\(804\) | 2.19178 | − | 0.968366i | 0.0772980 | − | 0.0341516i | ||||
\(805\) | 0.657851 | − | 4.47340i | 0.0231862 | − | 0.157667i | ||||
\(806\) | −16.7288 | + | 31.3544i | −0.589246 | + | 1.10441i | ||||
\(807\) | −0.192749 | + | 1.09314i | −0.00678510 | + | 0.0384802i | ||||
\(808\) | 1.66876 | − | 22.4826i | 0.0587069 | − | 0.790936i | ||||
\(809\) | 11.2064 | + | 19.4100i | 0.393994 | + | 0.682418i | 0.992972 | − | 0.118347i | \(-0.0377596\pi\) |
−0.598978 | + | 0.800766i | \(0.704426\pi\) | |||||||
\(810\) | 25.3475 | − | 11.0490i | 0.890619 | − | 0.388223i | ||||
\(811\) | −24.1580 | − | 20.2710i | −0.848303 | − | 0.711811i | 0.111112 | − | 0.993808i | \(-0.464559\pi\) |
−0.959415 | + | 0.281997i | \(0.909003\pi\) | |||||||
\(812\) | −1.08674 | − | 1.13179i | −0.0381370 | − | 0.0397179i | ||||
\(813\) | 2.57651 | − | 0.937772i | 0.0903620 | − | 0.0328891i | ||||
\(814\) | −0.182639 | + | 0.559391i | −0.00640149 | + | 0.0196066i | ||||
\(815\) | −15.8641 | − | 25.7524i | −0.555696 | − | 0.902066i | ||||
\(816\) | −0.487468 | − | 0.631316i | −0.0170648 | − | 0.0221005i | ||||
\(817\) | 32.4716 | − | 37.1695i | 1.13604 | − | 1.30040i | ||||
\(818\) | 9.60185 | − | 5.98089i | 0.335721 | − | 0.209117i | ||||
\(819\) | 0.690984 | + | 3.91876i | 0.0241449 | + | 0.136933i | ||||
\(820\) | −15.7553 | + | 11.2260i | −0.550198 | + | 0.392030i | ||||
\(821\) | −19.1032 | + | 6.95301i | −0.666708 | + | 0.242662i | −0.653130 | − | 0.757246i | \(-0.726544\pi\) |
−0.0135780 | + | 0.999908i | \(0.504322\pi\) | |||||||
\(822\) | 1.01464 | + | 4.80716i | 0.0353895 | + | 0.167669i | ||||
\(823\) | −28.6865 | − | 24.0708i | −0.999947 | − | 0.839055i | −0.0129702 | − | 0.999916i | \(-0.504129\pi\) |
−0.986977 | + | 0.160860i | \(0.948573\pi\) | |||||||
\(824\) | −25.6865 | − | 11.5682i | −0.894832 | − | 0.402998i | ||||
\(825\) | −0.435079 | − | 0.130793i | −0.0151475 | − | 0.00455361i | ||||
\(826\) | −1.55318 | + | 0.624954i | −0.0540422 | + | 0.0217449i | ||||
\(827\) | 21.8309 | + | 3.84937i | 0.759134 | + | 0.133856i | 0.539799 | − | 0.841794i | \(-0.318500\pi\) |
0.219335 | + | 0.975650i | \(0.429611\pi\) | |||||||
\(828\) | −34.0094 | + | 2.28077i | −1.18191 | + | 0.0792624i | ||||
\(829\) | −33.6577 | − | 19.4323i | −1.16898 | − | 0.674911i | −0.215541 | − | 0.976495i | \(-0.569151\pi\) |
−0.953440 | + | 0.301584i | \(0.902485\pi\) | |||||||
\(830\) | −1.13243 | − | 4.69796i | −0.0393073 | − | 0.163069i | ||||
\(831\) | 2.73701 | + | 0.996192i | 0.0949460 | + | 0.0345575i | ||||
\(832\) | 25.9066 | − | 15.8818i | 0.898148 | − | 0.550603i | ||||
\(833\) | −5.21706 | − | 6.21745i | −0.180760 | − | 0.215422i | ||||
\(834\) | 1.38602 | − | 1.24441i | 0.0479939 | − | 0.0430902i | ||||
\(835\) | 11.4883 | + | 28.9656i | 0.397568 | + | 1.00240i | ||||
\(836\) | −4.68404 | + | 0.220559i | −0.162001 | + | 0.00762818i | ||||
\(837\) | − | 6.67343i | − | 0.230668i | ||||||
\(838\) | −27.8741 | − | 31.0462i | −0.962895 | − | 1.07247i | ||||
\(839\) | 22.4922 | − | 18.8732i | 0.776516 | − | 0.651574i | −0.165853 | − | 0.986150i | \(-0.553038\pi\) |
0.942369 | + | 0.334577i | \(0.108593\pi\) | |||||||
\(840\) | −0.277209 | − | 0.255003i | −0.00956461 | − | 0.00879845i | ||||
\(841\) | −22.5979 | − | 8.22497i | −0.779238 | − | 0.283620i | ||||
\(842\) | −33.4417 | − | 4.74854i | −1.15248 | − | 0.163645i | ||||
\(843\) | 2.17521 | − | 3.76758i | 0.0749183 | − | 0.129762i | ||||
\(844\) | −20.9812 | + | 1.40706i | −0.722201 | + | 0.0484330i | ||||
\(845\) | 0.643856 | + | 3.12716i | 0.0221493 | + | 0.107578i | ||||
\(846\) | 10.3332 | − | 4.15777i | 0.355263 | − | 0.142947i | ||||
\(847\) | 1.88805 | + | 3.27020i | 0.0648741 | + | 0.112365i | ||||
\(848\) | −17.4995 | + | 2.35774i | −0.600934 | + | 0.0809651i | ||||
\(849\) | −2.57179 | + | 3.06494i | −0.0882635 | + | 0.105188i | ||||
\(850\) | 4.76530 | − | 6.85295i | 0.163448 | − | 0.235054i | ||||
\(851\) | 4.16927 | − | 1.51749i | 0.142921 | − | 0.0520189i | ||||
\(852\) | −2.34706 | + | 0.578086i | −0.0804088 | + | 0.0198049i | ||||
\(853\) | 7.15162 | − | 1.26102i | 0.244867 | − | 0.0431766i | −0.0498676 | − | 0.998756i | \(-0.515880\pi\) |
0.294734 | + | 0.955579i | \(0.404769\pi\) | |||||||
\(854\) | −1.82132 | − | 2.92399i | −0.0623244 | − | 0.100057i | ||||
\(855\) | −25.2058 | − | 14.2646i | −0.862021 | − | 0.487840i | ||||
\(856\) | −3.22134 | − | 31.9630i | −0.110103 | − | 1.09247i | ||||
\(857\) | −3.65149 | − | 20.7086i | −0.124732 | − | 0.707392i | −0.981466 | − | 0.191634i | \(-0.938621\pi\) |
0.856734 | − | 0.515758i | \(-0.172490\pi\) | |||||||
\(858\) | −0.463987 | − | 0.151490i | −0.0158403 | − | 0.00517178i | ||||
\(859\) | 6.77073 | + | 18.6024i | 0.231014 | + | 0.634707i | 0.999990 | − | 0.00457169i | \(-0.00145522\pi\) |
−0.768975 | + | 0.639279i | \(0.779233\pi\) | |||||||
\(860\) | 21.0226 | − | 46.0677i | 0.716865 | − | 1.57090i | ||||
\(861\) | 0.197351 | + | 0.165597i | 0.00672569 | + | 0.00564353i | ||||
\(862\) | −20.3142 | + | 0.680402i | −0.691905 | + | 0.0231746i | ||||
\(863\) | −32.8992 | + | 18.9944i | −1.11990 | + | 0.646576i | −0.941376 | − | 0.337359i | \(-0.890466\pi\) |
−0.178527 | + | 0.983935i | \(0.557133\pi\) | |||||||
\(864\) | −2.88824 | + | 4.92126i | −0.0982600 | + | 0.167425i | ||||
\(865\) | 3.18782 | + | 15.4830i | 0.108389 | + | 0.526438i | ||||
\(866\) | 17.6262 | − | 33.0364i | 0.598963 | − | 1.12262i | ||||
\(867\) | 2.28312 | + | 1.31816i | 0.0775390 | + | 0.0447671i | ||||
\(868\) | 4.26690 | − | 1.88519i | 0.144828 | − | 0.0639876i | ||||
\(869\) | −1.35946 | + | 3.73509i | −0.0461165 | + | 0.126704i | ||||
\(870\) | 1.14006 | + | 0.336566i | 0.0386517 | + | 0.0114106i | ||||
\(871\) | 17.3167 | + | 20.6372i | 0.586753 | + | 0.699265i | ||||
\(872\) | −14.3349 | + | 4.04421i | −0.485440 | + | 0.136954i | ||||
\(873\) | 35.7849 | 1.21113 | ||||||||
\(874\) | 23.0919 | + | 26.7734i | 0.781096 | + | 0.905625i | ||||
\(875\) | 1.67191 | − | 3.56953i | 0.0565208 | − | 0.120672i | ||||
\(876\) | 3.69997 | + | 1.07237i | 0.125010 | + | 0.0362321i | ||||
\(877\) | 30.1437 | − | 25.2935i | 1.01788 | − | 0.854102i | 0.0285194 | − | 0.999593i | \(-0.490921\pi\) |
0.989360 | + | 0.145491i | \(0.0464763\pi\) | |||||||
\(878\) | −34.1847 | − | 26.7866i | −1.15368 | − | 0.904003i | ||||
\(879\) | −0.887741 | + | 2.43905i | −0.0299428 | + | 0.0822670i | ||||
\(880\) | −4.54046 | + | 1.59071i | −0.153059 | + | 0.0536230i | ||||
\(881\) | −15.9604 | + | 27.6442i | −0.537719 | + | 0.931356i | 0.461308 | + | 0.887240i | \(0.347380\pi\) |
−0.999026 | + | 0.0441160i | \(0.985953\pi\) | |||||||
\(882\) | −13.6011 | + | 25.4922i | −0.457973 | + | 0.858369i | ||||
\(883\) | −6.36734 | + | 36.1110i | −0.214278 | + | 1.21523i | 0.667877 | + | 0.744272i | \(0.267203\pi\) |
−0.882155 | + | 0.470959i | \(0.843908\pi\) | |||||||
\(884\) | 5.29162 | − | 7.23981i | 0.177977 | − | 0.243501i | ||||
\(885\) | 0.787246 | − | 0.994474i | 0.0264630 | − | 0.0334289i | ||||
\(886\) | −44.9421 | + | 1.50529i | −1.50986 | + | 0.0505711i | ||||
\(887\) | 16.6814 | − | 19.8802i | 0.560108 | − | 0.667510i | −0.409462 | − | 0.912327i | \(-0.634283\pi\) |
0.969569 | + | 0.244817i | \(0.0787279\pi\) | |||||||
\(888\) | 0.0909480 | − | 0.358240i | 0.00305201 | − | 0.0120218i | ||||
\(889\) | 1.90146 | + | 5.22422i | 0.0637729 | + | 0.175215i | ||||
\(890\) | 0.990745 | + | 15.9586i | 0.0332099 | + | 0.534935i | ||||
\(891\) | −4.63186 | + | 0.816723i | −0.155173 | + | 0.0273612i | ||||
\(892\) | −18.9999 | − | 9.33399i | −0.636163 | − | 0.312525i | ||||
\(893\) | −9.88858 | − | 5.97478i | −0.330909 | − | 0.199938i | ||||
\(894\) | 0.252923 | − | 0.157543i | 0.00845902 | − | 0.00526904i | ||||
\(895\) | −21.0792 | − | 34.2180i | −0.704599 | − | 1.14378i | ||||
\(896\) | −3.96249 | − | 0.456486i | −0.132378 | − | 0.0152501i | ||||
\(897\) | 1.25868 | + | 3.45820i | 0.0420262 | + | 0.115466i | ||||
\(898\) | −34.6800 | + | 7.31981i | −1.15729 | + | 0.244265i | ||||
\(899\) | −9.46296 | + | 11.2775i | −0.315607 | + | 0.376126i | ||||
\(900\) | −28.9653 | − | 6.63129i | −0.965509 | − | 0.221043i | ||||
\(901\) | −4.51276 | + | 2.60545i | −0.150342 | + | 0.0868000i | ||||
\(902\) | 3.05275 | − | 1.22833i | 0.101646 | − | 0.0408991i | ||||
\(903\) | −0.664093 | − | 0.117097i | −0.0220996 | − | 0.00389676i | ||||
\(904\) | 25.0996 | + | 34.8591i | 0.834800 | + | 1.15940i | ||||
\(905\) | 12.2889 | + | 1.80718i | 0.408496 | + | 0.0600727i | ||||
\(906\) | 5.43571 | + | 0.771840i | 0.180589 | + | 0.0256427i | ||||
\(907\) | 10.6876 | − | 29.3641i | 0.354878 | − | 0.975018i | −0.625903 | − | 0.779901i | \(-0.715269\pi\) |
0.980780 | − | 0.195117i | \(-0.0625086\pi\) | |||||||
\(908\) | −3.59388 | − | 0.388093i | −0.119267 | − | 0.0128793i | ||||
\(909\) | −18.1434 | + | 15.2242i | −0.601780 | + | 0.504953i | ||||
\(910\) | 1.88606 | − | 3.79155i | 0.0625223 | − | 0.125689i | ||||
\(911\) | −21.9268 | −0.726468 | −0.363234 | − | 0.931698i | \(-0.618327\pi\) | ||||
−0.363234 | + | 0.931698i | \(0.618327\pi\) | |||||||
\(912\) | 2.92617 | − | 0.335081i | 0.0968950 | − | 0.0110956i | ||||
\(913\) | 0.821993i | 0.0272040i | ||||||||
\(914\) | 26.5221 | + | 29.5403i | 0.877272 | + | 0.977106i | ||||
\(915\) | 2.29643 | + | 1.23991i | 0.0759177 | + | 0.0409901i | ||||
\(916\) | 0.160454 | − | 1.48586i | 0.00530154 | − | 0.0490942i | ||||
\(917\) | −1.98234 | + | 5.44645i | −0.0654628 | + | 0.179858i | ||||
\(918\) | −0.236736 | + | 1.66722i | −0.00781346 | + | 0.0550265i | ||||
\(919\) | −5.54626 | − | 3.20213i | −0.182954 | − | 0.105629i | 0.405726 | − | 0.913995i | \(-0.367019\pi\) |
−0.588680 | + | 0.808366i | \(0.700352\pi\) | |||||||
\(920\) | 30.5559 | + | 19.5495i | 1.00740 | + | 0.644527i | ||||
\(921\) | 0.132104 | − | 0.749201i | 0.00435299 | − | 0.0246870i | ||||
\(922\) | −11.3176 | + | 4.55384i | −0.372724 | + | 0.149973i | ||||
\(923\) | −13.5882 | − | 23.5355i | −0.447261 | − | 0.774679i | ||||
\(924\) | 0.0356749 | + | 0.0532168i | 0.00117362 | + | 0.00175070i | ||||
\(925\) | 3.86157 | − | 0.220512i | 0.126968 | − | 0.00725039i | ||||
\(926\) | 11.3928 | + | 53.9772i | 0.374392 | + | 1.77380i | ||||
\(927\) | 10.1224 | + | 27.8111i | 0.332463 | + | 0.913436i | ||||
\(928\) | 11.8592 | − | 4.22095i | 0.389298 | − | 0.138560i | ||||
\(929\) | −7.46019 | − | 42.3088i | −0.244761 | − | 1.38811i | −0.821048 | − | 0.570860i | \(-0.806610\pi\) |
0.576287 | − | 0.817247i | \(-0.304501\pi\) | |||||||
\(930\) | −2.09951 | + | 2.84277i | −0.0688456 | + | 0.0932180i | ||||
\(931\) | 29.6129 | − | 4.61568i | 0.970525 | − | 0.151273i | ||||
\(932\) | −21.0946 | − | 10.3630i | −0.690975 | − | 0.339453i | ||||
\(933\) | −0.944788 | − | 5.35816i | −0.0309310 | − | 0.175418i | ||||
\(934\) | −15.6689 | − | 5.11585i | −0.512703 | − | 0.167396i | ||||
\(935\) | −1.06114 | + | 0.943260i | −0.0347031 | + | 0.0308479i | ||||
\(936\) | −30.9423 | − | 7.85546i | −1.01138 | − | 0.256764i | ||||
\(937\) | −15.6006 | + | 18.5921i | −0.509649 | + | 0.607376i | −0.958101 | − | 0.286431i | \(-0.907531\pi\) |
0.448452 | + | 0.893807i | \(0.351976\pi\) | |||||||
\(938\) | −0.118375 | − | 3.53422i | −0.00386508 | − | 0.115396i | ||||
\(939\) | 0.958079 | + | 1.65944i | 0.0312657 | + | 0.0541538i | ||||
\(940\) | −11.4745 | − | 2.97374i | −0.374257 | − | 0.0969928i | ||||
\(941\) | −46.9057 | − | 8.27073i | −1.52908 | − | 0.269618i | −0.655086 | − | 0.755554i | \(-0.727368\pi\) |
−0.873994 | + | 0.485936i | \(0.838479\pi\) | |||||||
\(942\) | −1.54921 | + | 2.90366i | −0.0504761 | + | 0.0946062i | ||||
\(943\) | −21.4867 | − | 12.4054i | −0.699704 | − | 0.403975i | ||||
\(944\) | 0.545270 | − | 13.4205i | 0.0177470 | − | 0.436799i | ||||
\(945\) | 0.0226773 | + | 0.794889i | 0.000737692 | + | 0.0258578i | ||||
\(946\) | −5.31254 | + | 6.77980i | −0.172726 | + | 0.220430i | ||||
\(947\) | −6.91093 | + | 5.79896i | −0.224575 | + | 0.188441i | −0.748132 | − | 0.663550i | \(-0.769049\pi\) |
0.523557 | + | 0.851991i | \(0.324605\pi\) | |||||||
\(948\) | 0.694982 | − | 2.39787i | 0.0225720 | − | 0.0778793i | ||||
\(949\) | 43.3104i | 1.40592i | ||||||||
\(950\) | 12.5590 | + | 28.1473i | 0.407468 | + | 0.913220i | ||||
\(951\) | − | 1.42334i | − | 0.0461550i | ||||||
\(952\) | −1.13287 | + | 0.319611i | −0.0367167 | + | 0.0103587i | ||||
\(953\) | 1.42806 | − | 1.19829i | 0.0462596 | − | 0.0388164i | −0.619365 | − | 0.785103i | \(-0.712610\pi\) |
0.665624 | + | 0.746287i | \(0.268165\pi\) | |||||||
\(954\) | 14.6017 | + | 11.4417i | 0.472749 | + | 0.370438i | ||||
\(955\) | 0.562251 | + | 19.7082i | 0.0181940 | + | 0.637742i | ||||
\(956\) | 8.09886 | + | 18.3308i | 0.261936 | + | 0.592860i | ||||
\(957\) | −0.175105 | − | 0.101097i | −0.00566033 | − | 0.00326800i | ||||
\(958\) | 21.5158 | + | 11.4795i | 0.695145 | + | 0.370887i | ||||
\(959\) | 7.14044 | + | 1.25905i | 0.230577 | + | 0.0406569i | ||||
\(960\) | 2.77860 | − | 1.18771i | 0.0896791 | − | 0.0383331i | ||||
\(961\) | −6.38390 | − | 11.0572i | −0.205932 | − | 0.356685i | ||||
\(962\) | 4.15311 | − | 0.139104i | 0.133902 | − | 0.00448489i | ||||
\(963\) | −21.6938 | + | 25.8536i | −0.699072 | + | 0.833121i | ||||
\(964\) | −25.1305 | − | 26.1723i | −0.809400 | − | 0.842953i | ||||
\(965\) | −32.1846 | + | 28.6091i | −1.03606 | + | 0.920961i | ||||
\(966\) | 0.149930 | − | 0.459208i | 0.00482391 | − | 0.0147748i | ||||
\(967\) | −1.32962 | − | 7.54063i | −0.0427576 | − | 0.242490i | 0.955937 | − | 0.293572i | \(-0.0948442\pi\) |
−0.998694 | + | 0.0510819i | \(0.983733\pi\) | |||||||
\(968\) | −30.1417 | + | 3.03778i | −0.968790 | + | 0.0976379i | ||||
\(969\) | 0.761233 | − | 0.419517i | 0.0244543 | − | 0.0134768i | ||||
\(970\) | −30.6339 | − | 22.6245i | −0.983594 | − | 0.726428i | ||||
\(971\) | −3.33371 | − | 18.9064i | −0.106984 | − | 0.606735i | −0.990409 | − | 0.138164i | \(-0.955880\pi\) |
0.883426 | − | 0.468571i | \(-0.155231\pi\) | |||||||
\(972\) | 8.74512 | − | 2.15395i | 0.280500 | − | 0.0690879i | ||||
\(973\) | −0.940180 | − | 2.58312i | −0.0301408 | − | 0.0828112i | ||||
\(974\) | 41.5873 | − | 8.77772i | 1.33254 | − | 0.281256i | ||||
\(975\) | 0.182904 | + | 3.20299i | 0.00585761 | + | 0.102578i | ||||
\(976\) | 27.3894 | − | 3.69022i | 0.876712 | − | 0.118121i | ||||
\(977\) | −19.3160 | − | 33.4564i | −0.617975 | − | 1.07036i | −0.989855 | − | 0.142083i | \(-0.954620\pi\) |
0.371880 | − | 0.928281i | \(-0.378713\pi\) | |||||||
\(978\) | −1.20625 | − | 2.99787i | −0.0385716 | − | 0.0958613i | ||||
\(979\) | 0.472276 | − | 2.67841i | 0.0150940 | − | 0.0856023i | ||||
\(980\) | 27.7604 | − | 13.2237i | 0.886774 | − | 0.422415i | ||||
\(981\) | 13.5513 | + | 7.82384i | 0.432659 | + | 0.249796i | ||||
\(982\) | 26.2026 | + | 3.72062i | 0.836158 | + | 0.118730i | ||||
\(983\) | −6.94718 | + | 19.0872i | −0.221581 | + | 0.608788i | −0.999816 | − | 0.0191849i | \(-0.993893\pi\) |
0.778235 | + | 0.627973i | \(0.216115\pi\) | |||||||
\(984\) | −1.86150 | + | 0.898085i | −0.0593426 | + | 0.0286299i | ||||
\(985\) | 41.3862 | + | 22.3456i | 1.31867 | + | 0.711988i | ||||
\(986\) | 2.76419 | − | 2.48176i | 0.0880297 | − | 0.0790354i | ||||
\(987\) | 0.157853i | 0.00502451i | ||||||||
\(988\) | 12.7766 | + | 30.5495i | 0.406478 | + | 0.971911i | ||||
\(989\) | 64.9430 | 2.06507 | ||||||||
\(990\) | 4.52537 | + | 2.25109i | 0.143826 | + | 0.0715445i | ||||
\(991\) | −22.7223 | + | 19.0662i | −0.721796 | + | 0.605659i | −0.927882 | − | 0.372875i | \(-0.878372\pi\) |
0.206085 | + | 0.978534i | \(0.433928\pi\) | |||||||
\(992\) | −0.266681 | + | 37.4232i | −0.00846712 | + | 1.18819i | ||||
\(993\) | −1.51222 | + | 4.15479i | −0.0479888 | + | 0.131848i | ||||
\(994\) | −0.501498 | + | 3.53182i | −0.0159066 | + | 0.112022i | ||||
\(995\) | 38.7518 | + | 5.69878i | 1.22851 | + | 0.180663i | ||||
\(996\) | −0.0345465 | − | 0.515134i | −0.00109465 | − | 0.0163227i | ||||
\(997\) | −4.72799 | − | 0.833672i | −0.149737 | − | 0.0264027i | 0.0982772 | − | 0.995159i | \(-0.468667\pi\) |
−0.248014 | + | 0.968756i | \(0.579778\pi\) | |||||||
\(998\) | 1.94820 | + | 4.84181i | 0.0616691 | + | 0.153265i | ||||
\(999\) | −0.675778 | + | 0.390161i | −0.0213807 | + | 0.0123441i |
(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 | 380.2.bb.a.219.12 | yes | 336 | |
4.3 | odd | 2 | inner | 380.2.bb.a.219.50 | yes | 336 | |
5.4 | even | 2 | inner | 380.2.bb.a.219.45 | yes | 336 | |
19.2 | odd | 18 | inner | 380.2.bb.a.59.7 | ✓ | 336 | |
20.19 | odd | 2 | inner | 380.2.bb.a.219.7 | yes | 336 | |
76.59 | even | 18 | inner | 380.2.bb.a.59.45 | yes | 336 | |
95.59 | odd | 18 | inner | 380.2.bb.a.59.50 | yes | 336 | |
380.59 | even | 18 | inner | 380.2.bb.a.59.12 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
380.2.bb.a.59.7 | ✓ | 336 | 19.2 | odd | 18 | inner | |
380.2.bb.a.59.12 | yes | 336 | 380.59 | even | 18 | inner | |
380.2.bb.a.59.45 | yes | 336 | 76.59 | even | 18 | inner | |
380.2.bb.a.59.50 | yes | 336 | 95.59 | odd | 18 | inner | |
380.2.bb.a.219.7 | yes | 336 | 20.19 | odd | 2 | inner | |
380.2.bb.a.219.12 | yes | 336 | 1.1 | even | 1 | trivial | |
380.2.bb.a.219.45 | yes | 336 | 5.4 | even | 2 | inner | |
380.2.bb.a.219.50 | yes | 336 | 4.3 | odd | 2 | inner |