Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(13,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.x (of order \(12\), degree \(4\), 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: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 61.18 | ||
Character | \(\chi\) | \(=\) | 144.61 |
Dual form | 144.2.x.e.85.18 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41364 | − | 0.0402314i | 0.999595 | − | 0.0284479i | ||||
\(3\) | −0.162237 | + | 1.72444i | −0.0936678 | + | 0.995604i | ||||
\(4\) | 1.99676 | − | 0.113746i | 0.998381 | − | 0.0568728i | ||||
\(5\) | −2.21121 | − | 0.592492i | −0.988884 | − | 0.264971i | −0.272102 | − | 0.962268i | \(-0.587719\pi\) |
−0.716782 | + | 0.697298i | \(0.754386\pi\) | |||||||
\(6\) | −0.159969 | + | 2.44426i | −0.0653071 | + | 0.997865i | ||||
\(7\) | 2.67054 | + | 1.54184i | 1.00937 | + | 0.582760i | 0.911007 | − | 0.412391i | \(-0.135306\pi\) |
0.0983627 | + | 0.995151i | \(0.468639\pi\) | |||||||
\(8\) | 2.81813 | − | 0.241128i | 0.996359 | − | 0.0852516i | ||||
\(9\) | −2.94736 | − | 0.559536i | −0.982453 | − | 0.186512i | ||||
\(10\) | −3.14970 | − | 0.748611i | −0.996022 | − | 0.236732i | ||||
\(11\) | −0.918760 | − | 3.42886i | −0.277017 | − | 1.03384i | −0.954478 | − | 0.298282i | \(-0.903586\pi\) |
0.677461 | − | 0.735559i | \(-0.263080\pi\) | |||||||
\(12\) | −0.127803 | + | 3.46174i | −0.0368935 | + | 0.999319i | ||||
\(13\) | −0.375914 | + | 1.40293i | −0.104260 | + | 0.389102i | −0.998260 | − | 0.0589636i | \(-0.981220\pi\) |
0.894000 | + | 0.448066i | \(0.147887\pi\) | |||||||
\(14\) | 3.83722 | + | 2.07217i | 1.02554 | + | 0.553810i | ||||
\(15\) | 1.38046 | − | 3.71697i | 0.356432 | − | 0.959717i | ||||
\(16\) | 3.97412 | − | 0.454246i | 0.993531 | − | 0.113561i | ||||
\(17\) | −1.69619 | −0.411387 | −0.205693 | − | 0.978617i | \(-0.565945\pi\) | ||||
−0.205693 | + | 0.978617i | \(0.565945\pi\) | |||||||
\(18\) | −4.18902 | − | 0.672407i | −0.987361 | − | 0.158488i | ||||
\(19\) | −5.41876 | − | 5.41876i | −1.24315 | − | 1.24315i | −0.958688 | − | 0.284460i | \(-0.908186\pi\) |
−0.284460 | − | 0.958688i | \(-0.591814\pi\) | |||||||
\(20\) | −4.48266 | − | 0.931551i | −1.00235 | − | 0.208301i | ||||
\(21\) | −3.09206 | + | 4.35503i | −0.674743 | + | 0.950346i | ||||
\(22\) | −1.43675 | − | 4.81022i | −0.306315 | − | 1.02554i | ||||
\(23\) | 3.69781 | − | 2.13493i | 0.771047 | − | 0.445164i | −0.0622012 | − | 0.998064i | \(-0.519812\pi\) |
0.833248 | + | 0.552900i | \(0.186479\pi\) | |||||||
\(24\) | −0.0413964 | + | 4.89880i | −0.00845000 | + | 0.999964i | ||||
\(25\) | 0.208283 | + | 0.120252i | 0.0416566 | + | 0.0240504i | ||||
\(26\) | −0.474965 | + | 1.99836i | −0.0931483 | + | 0.391911i | ||||
\(27\) | 1.44306 | − | 4.99175i | 0.277716 | − | 0.960663i | ||||
\(28\) | 5.50781 | + | 2.77492i | 1.04088 | + | 0.524411i | ||||
\(29\) | −0.550286 | + | 0.147449i | −0.102185 | + | 0.0273805i | −0.309549 | − | 0.950883i | \(-0.600178\pi\) |
0.207364 | + | 0.978264i | \(0.433512\pi\) | |||||||
\(30\) | 1.80193 | − | 5.31000i | 0.328986 | − | 0.969468i | ||||
\(31\) | 3.59297 | + | 6.22321i | 0.645317 | + | 1.11772i | 0.984228 | + | 0.176903i | \(0.0566079\pi\) |
−0.338911 | + | 0.940818i | \(0.610059\pi\) | |||||||
\(32\) | 5.59971 | − | 0.802025i | 0.989898 | − | 0.141779i | ||||
\(33\) | 6.06191 | − | 1.02805i | 1.05524 | − | 0.178961i | ||||
\(34\) | −2.39780 | + | 0.0682402i | −0.411220 | + | 0.0117031i | ||||
\(35\) | −4.99161 | − | 4.99161i | −0.843735 | − | 0.843735i | ||||
\(36\) | −5.94882 | − | 0.782012i | −0.991470 | − | 0.130335i | ||||
\(37\) | 2.59734 | − | 2.59734i | 0.427000 | − | 0.427000i | −0.460605 | − | 0.887605i | \(-0.652367\pi\) |
0.887605 | + | 0.460605i | \(0.152367\pi\) | |||||||
\(38\) | −7.87818 | − | 7.44217i | −1.27801 | − | 1.20728i | ||||
\(39\) | −2.35827 | − | 0.875847i | −0.377626 | − | 0.140248i | ||||
\(40\) | −6.37435 | − | 1.13654i | −1.00787 | − | 0.179702i | ||||
\(41\) | −8.14951 | + | 4.70512i | −1.27274 | + | 0.734817i | −0.975503 | − | 0.219987i | \(-0.929399\pi\) |
−0.297237 | + | 0.954804i | \(0.596065\pi\) | |||||||
\(42\) | −4.19586 | + | 6.28085i | −0.647435 | + | 0.969157i | ||||
\(43\) | 2.81997 | + | 10.5243i | 0.430042 | + | 1.60494i | 0.752660 | + | 0.658410i | \(0.228770\pi\) |
−0.322618 | + | 0.946529i | \(0.604563\pi\) | |||||||
\(44\) | −2.22456 | − | 6.74212i | −0.335366 | − | 1.01641i | ||||
\(45\) | 6.18571 | + | 2.98354i | 0.922111 | + | 0.444760i | ||||
\(46\) | 5.14148 | − | 3.16680i | 0.758071 | − | 0.466918i | ||||
\(47\) | −0.322401 | + | 0.558415i | −0.0470270 | + | 0.0814532i | −0.888581 | − | 0.458720i | \(-0.848308\pi\) |
0.841554 | + | 0.540173i | \(0.181641\pi\) | |||||||
\(48\) | 0.138566 | + | 6.92682i | 0.0200003 | + | 0.999800i | ||||
\(49\) | 1.25453 | + | 2.17290i | 0.179218 | + | 0.310415i | ||||
\(50\) | 0.299275 | + | 0.161614i | 0.0423239 | + | 0.0228556i | ||||
\(51\) | 0.275186 | − | 2.92497i | 0.0385337 | − | 0.409578i | ||||
\(52\) | −0.591033 | + | 2.84407i | −0.0819616 | + | 0.394402i | ||||
\(53\) | −7.59951 | + | 7.59951i | −1.04387 | + | 1.04387i | −0.0448800 | + | 0.998992i | \(0.514291\pi\) |
−0.998992 | + | 0.0448800i | \(0.985709\pi\) | |||||||
\(54\) | 1.83914 | − | 7.11460i | 0.250275 | − | 0.968175i | ||||
\(55\) | 8.12630i | 1.09575i | ||||||||
\(56\) | 7.89771 | + | 3.70116i | 1.05538 | + | 0.494588i | ||||
\(57\) | 10.2234 | − | 8.46517i | 1.35413 | − | 1.12124i | ||||
\(58\) | −0.771975 | + | 0.230578i | −0.101365 | + | 0.0302764i | ||||
\(59\) | 5.82026 | + | 1.55953i | 0.757733 | + | 0.203034i | 0.616946 | − | 0.787006i | \(-0.288370\pi\) |
0.140788 | + | 0.990040i | \(0.455037\pi\) | |||||||
\(60\) | 2.33366 | − | 7.57892i | 0.301274 | − | 0.978435i | ||||
\(61\) | −3.88659 | + | 1.04141i | −0.497627 | + | 0.133339i | −0.498898 | − | 0.866661i | \(-0.666262\pi\) |
0.00127169 | + | 0.999999i | \(0.499595\pi\) | |||||||
\(62\) | 5.32954 | + | 8.65283i | 0.676852 | + | 1.09891i | ||||
\(63\) | −7.00833 | − | 6.03861i | −0.882966 | − | 0.760794i | ||||
\(64\) | 7.88371 | − | 1.35906i | 0.985464 | − | 0.169883i | ||||
\(65\) | 1.66245 | − | 2.87945i | 0.206201 | − | 0.357151i | ||||
\(66\) | 8.52800 | − | 1.69718i | 1.04972 | − | 0.208908i | ||||
\(67\) | −1.07739 | + | 4.02086i | −0.131624 | + | 0.491226i | −0.999989 | − | 0.00469890i | \(-0.998504\pi\) |
0.868365 | + | 0.495925i | \(0.165171\pi\) | |||||||
\(68\) | −3.38689 | + | 0.192934i | −0.410721 | + | 0.0233967i | ||||
\(69\) | 3.08163 | + | 6.72300i | 0.370985 | + | 0.809354i | ||||
\(70\) | −7.25716 | − | 6.85552i | −0.867396 | − | 0.819391i | ||||
\(71\) | 4.81741i | 0.571722i | 0.958271 | + | 0.285861i | \(0.0922795\pi\) | ||||
−0.958271 | + | 0.285861i | \(0.907720\pi\) | |||||||
\(72\) | −8.44096 | − | 0.866155i | −0.994776 | − | 0.102077i | ||||
\(73\) | − | 0.0254428i | − | 0.00297785i | −0.999999 | − | 0.00148893i | \(-0.999526\pi\) | ||
0.999999 | − | 0.00148893i | \(-0.000473940\pi\) | |||||||
\(74\) | 3.56721 | − | 3.77620i | 0.414680 | − | 0.438975i | ||||
\(75\) | −0.241158 | + | 0.339661i | −0.0278466 | + | 0.0392207i | ||||
\(76\) | −11.4363 | − | 10.2036i | −1.31184 | − | 1.17043i | ||||
\(77\) | 2.83316 | − | 10.5735i | 0.322868 | − | 1.20496i | ||||
\(78\) | −3.36899 | − | 1.14326i | −0.381463 | − | 0.129448i | ||||
\(79\) | 7.90903 | − | 13.6988i | 0.889835 | − | 1.54124i | 0.0497661 | − | 0.998761i | \(-0.484152\pi\) |
0.840069 | − | 0.542479i | \(-0.182514\pi\) | |||||||
\(80\) | −9.05677 | − | 1.35020i | −1.01258 | − | 0.150957i | ||||
\(81\) | 8.37384 | + | 3.29831i | 0.930427 | + | 0.366479i | ||||
\(82\) | −11.3312 | + | 6.97922i | −1.25132 | + | 0.770726i | ||||
\(83\) | 9.35105 | − | 2.50561i | 1.02641 | − | 0.275026i | 0.293940 | − | 0.955824i | \(-0.405033\pi\) |
0.732471 | + | 0.680798i | \(0.238367\pi\) | |||||||
\(84\) | −5.67875 | + | 9.04768i | −0.619602 | + | 0.987183i | ||||
\(85\) | 3.75064 | + | 1.00498i | 0.406814 | + | 0.109005i | ||||
\(86\) | 4.40984 | + | 14.7641i | 0.475525 | + | 1.59206i | ||||
\(87\) | −0.164989 | − | 0.972854i | −0.0176886 | − | 0.104301i | ||||
\(88\) | −3.41598 | − | 9.44144i | −0.364145 | − | 1.00646i | ||||
\(89\) | − | 1.29060i | − | 0.136803i | −0.997658 | − | 0.0684014i | \(-0.978210\pi\) | ||
0.997658 | − | 0.0684014i | \(-0.0217899\pi\) | |||||||
\(90\) | 8.86441 | + | 3.96880i | 0.934391 | + | 0.418348i | ||||
\(91\) | −3.16698 | + | 3.16698i | −0.331990 | + | 0.331990i | ||||
\(92\) | 7.14081 | − | 4.68356i | 0.744481 | − | 0.488295i | ||||
\(93\) | −11.3144 | + | 5.18621i | −1.17325 | + | 0.537785i | ||||
\(94\) | −0.433294 | + | 0.802369i | −0.0446908 | + | 0.0827581i | ||||
\(95\) | 8.77145 | + | 15.1926i | 0.899931 | + | 1.55873i | ||||
\(96\) | 0.474559 | + | 9.78646i | 0.0484344 | + | 0.998826i | ||||
\(97\) | 4.31271 | − | 7.46984i | 0.437890 | − | 0.758447i | −0.559637 | − | 0.828738i | \(-0.689059\pi\) |
0.997527 | + | 0.0702907i | \(0.0223927\pi\) | |||||||
\(98\) | 1.86087 | + | 3.02124i | 0.187976 | + | 0.305191i | ||||
\(99\) | 0.789344 | + | 10.6202i | 0.0793321 | + | 1.06737i | ||||
\(100\) | 0.429570 | + | 0.216424i | 0.0429570 | + | 0.0216424i | ||||
\(101\) | 3.30347 | + | 12.3287i | 0.328708 | + | 1.22675i | 0.910532 | + | 0.413440i | \(0.135673\pi\) |
−0.581824 | + | 0.813315i | \(0.697661\pi\) | |||||||
\(102\) | 0.271338 | − | 4.14593i | 0.0268665 | − | 0.410508i | ||||
\(103\) | 0.777714 | − | 0.449013i | 0.0766304 | − | 0.0442426i | −0.461195 | − | 0.887299i | \(-0.652579\pi\) |
0.537826 | + | 0.843056i | \(0.319246\pi\) | |||||||
\(104\) | −0.721088 | + | 4.04428i | −0.0707085 | + | 0.396574i | ||||
\(105\) | 9.41753 | − | 7.79788i | 0.919057 | − | 0.760995i | ||||
\(106\) | −10.4372 | + | 11.0487i | −1.01375 | + | 1.07315i | ||||
\(107\) | −3.43615 | + | 3.43615i | −0.332185 | + | 0.332185i | −0.853416 | − | 0.521230i | \(-0.825473\pi\) |
0.521230 | + | 0.853416i | \(0.325473\pi\) | |||||||
\(108\) | 2.31365 | − | 10.1315i | 0.222631 | − | 0.974903i | ||||
\(109\) | −10.7430 | − | 10.7430i | −1.02900 | − | 1.02900i | −0.999567 | − | 0.0294299i | \(-0.990631\pi\) |
−0.0294299 | − | 0.999567i | \(-0.509369\pi\) | |||||||
\(110\) | 0.326932 | + | 11.4877i | 0.0311718 | + | 1.09531i | ||||
\(111\) | 4.05756 | + | 4.90034i | 0.385127 | + | 0.465119i | ||||
\(112\) | 11.3134 | + | 4.91437i | 1.06902 | + | 0.464364i | ||||
\(113\) | −6.90863 | − | 11.9661i | −0.649910 | − | 1.12568i | −0.983144 | − | 0.182833i | \(-0.941473\pi\) |
0.333234 | − | 0.942844i | \(-0.391860\pi\) | |||||||
\(114\) | 14.1117 | − | 12.3780i | 1.32168 | − | 1.15931i | ||||
\(115\) | −9.44157 | + | 2.52986i | −0.880431 | + | 0.235911i | ||||
\(116\) | −1.08202 | + | 0.357013i | −0.100463 | + | 0.0331478i | ||||
\(117\) | 1.89294 | − | 3.92460i | 0.175002 | − | 0.362829i | ||||
\(118\) | 8.29050 | + | 1.97046i | 0.763202 | + | 0.181396i | ||||
\(119\) | −4.52975 | − | 2.61525i | −0.415241 | − | 0.239740i | ||||
\(120\) | 2.99404 | − | 10.8078i | 0.273317 | − | 0.986610i | ||||
\(121\) | −1.38669 | + | 0.800604i | −0.126062 | + | 0.0727821i | ||||
\(122\) | −5.45234 | + | 1.62854i | −0.493632 | + | 0.147441i | ||||
\(123\) | −6.79153 | − | 14.8167i | −0.612371 | − | 1.33597i | ||||
\(124\) | 7.88218 | + | 12.0176i | 0.707840 | + | 1.07921i | ||||
\(125\) | 7.70429 | + | 7.70429i | 0.689092 | + | 0.689092i | ||||
\(126\) | −10.1502 | − | 8.25448i | −0.904252 | − | 0.735367i | ||||
\(127\) | −11.0753 | −0.982777 | −0.491389 | − | 0.870940i | \(-0.663511\pi\) | ||||
−0.491389 | + | 0.870940i | \(0.663511\pi\) | |||||||
\(128\) | 11.0901 | − | 2.23840i | 0.980233 | − | 0.197848i | ||||
\(129\) | −18.6060 | + | 3.15543i | −1.63816 | + | 0.277820i | ||||
\(130\) | 2.23426 | − | 4.13739i | 0.195958 | − | 0.362873i | ||||
\(131\) | 0.410504 | − | 1.53202i | 0.0358659 | − | 0.133854i | −0.945671 | − | 0.325124i | \(-0.894594\pi\) |
0.981537 | + | 0.191270i | \(0.0612607\pi\) | |||||||
\(132\) | 11.9873 | − | 2.74230i | 1.04336 | − | 0.238686i | ||||
\(133\) | −6.11617 | − | 22.8259i | −0.530339 | − | 1.97925i | ||||
\(134\) | −1.36127 | + | 5.72740i | −0.117596 | + | 0.494772i | ||||
\(135\) | −6.14848 | + | 10.1828i | −0.529177 | + | 0.876398i | ||||
\(136\) | −4.78009 | + | 0.408999i | −0.409889 | + | 0.0350714i | ||||
\(137\) | −12.9206 | − | 7.45971i | −1.10388 | − | 0.637326i | −0.166643 | − | 0.986017i | \(-0.553293\pi\) |
−0.937238 | + | 0.348691i | \(0.886626\pi\) | |||||||
\(138\) | 4.62679 | + | 9.37993i | 0.393859 | + | 0.798473i | ||||
\(139\) | −12.1316 | − | 3.25066i | −1.02899 | − | 0.275717i | −0.295447 | − | 0.955359i | \(-0.595469\pi\) |
−0.733544 | + | 0.679642i | \(0.762135\pi\) | |||||||
\(140\) | −10.5348 | − | 9.39928i | −0.890355 | − | 0.794384i | ||||
\(141\) | −0.910645 | − | 0.646556i | −0.0766902 | − | 0.0544498i | ||||
\(142\) | 0.193811 | + | 6.81009i | 0.0162643 | + | 0.571490i | ||||
\(143\) | 5.15582 | 0.431151 | ||||||||
\(144\) | −11.9673 | − | 0.884841i | −0.997278 | − | 0.0737367i | ||||
\(145\) | 1.30416 | 0.108305 | ||||||||
\(146\) | −0.00102360 | − | 0.0359670i | −8.47137e−5 | − | 0.00297665i | ||||
\(147\) | −3.95057 | + | 1.81083i | −0.325837 | + | 0.149354i | ||||
\(148\) | 4.89084 | − | 5.48171i | 0.402025 | − | 0.450594i | ||||
\(149\) | 14.9396 | + | 4.00304i | 1.22390 | + | 0.327942i | 0.812200 | − | 0.583379i | \(-0.198270\pi\) |
0.411696 | + | 0.911321i | \(0.364936\pi\) | |||||||
\(150\) | −0.327246 | + | 0.489861i | −0.0267196 | + | 0.0399970i | ||||
\(151\) | −1.44969 | − | 0.836978i | −0.117974 | − | 0.0681123i | 0.439852 | − | 0.898070i | \(-0.355031\pi\) |
−0.557826 | + | 0.829958i | \(0.688364\pi\) | |||||||
\(152\) | −16.5774 | − | 13.9641i | −1.34460 | − | 1.13264i | ||||
\(153\) | 4.99928 | + | 0.949080i | 0.404168 | + | 0.0767286i | ||||
\(154\) | 3.57968 | − | 15.0611i | 0.288459 | − | 1.21366i | ||||
\(155\) | −4.25762 | − | 15.8896i | −0.341980 | − | 1.27629i | ||||
\(156\) | −4.80854 | − | 1.48061i | −0.384991 | − | 0.118544i | ||||
\(157\) | −1.28384 | + | 4.79137i | −0.102462 | + | 0.382393i | −0.998045 | − | 0.0625016i | \(-0.980092\pi\) |
0.895583 | + | 0.444894i | \(0.146759\pi\) | |||||||
\(158\) | 10.6294 | − | 19.6834i | 0.845630 | − | 1.56593i | ||||
\(159\) | −11.8719 | − | 14.3378i | −0.941506 | − | 1.13706i | ||||
\(160\) | −12.8573 | − | 1.54434i | −1.01646 | − | 0.122091i | ||||
\(161\) | 13.1669 | 1.03769 | ||||||||
\(162\) | 11.9703 | + | 4.32573i | 0.940475 | + | 0.339862i | ||||
\(163\) | 3.42775 | + | 3.42775i | 0.268482 | + | 0.268482i | 0.828488 | − | 0.560006i | \(-0.189201\pi\) |
−0.560006 | + | 0.828488i | \(0.689201\pi\) | |||||||
\(164\) | −15.7375 | + | 10.3220i | −1.22889 | + | 0.806012i | ||||
\(165\) | −14.0133 | − | 1.31839i | −1.09093 | − | 0.102636i | ||||
\(166\) | 13.1182 | − | 3.91823i | 1.01817 | − | 0.304114i | ||||
\(167\) | −7.20275 | + | 4.15851i | −0.557366 | + | 0.321795i | −0.752088 | − | 0.659063i | \(-0.770953\pi\) |
0.194722 | + | 0.980859i | \(0.437620\pi\) | |||||||
\(168\) | −7.66371 | + | 13.0186i | −0.591268 | + | 1.00441i | ||||
\(169\) | 9.43143 | + | 5.44524i | 0.725495 | + | 0.418865i | ||||
\(170\) | 5.34249 | + | 1.26979i | 0.409750 | + | 0.0973883i | ||||
\(171\) | 12.9390 | + | 19.0030i | 0.989472 | + | 1.45320i | ||||
\(172\) | 6.82791 | + | 20.6937i | 0.520623 | + | 1.57788i | ||||
\(173\) | −0.548704 | + | 0.147025i | −0.0417172 | + | 0.0111781i | −0.279617 | − | 0.960112i | \(-0.590208\pi\) |
0.237900 | + | 0.971290i | \(0.423541\pi\) | |||||||
\(174\) | −0.272374 | − | 1.36863i | −0.0206486 | − | 0.103755i | ||||
\(175\) | 0.370819 | + | 0.642277i | 0.0280312 | + | 0.0485515i | ||||
\(176\) | −5.20881 | − | 13.2094i | −0.392629 | − | 0.995694i | ||||
\(177\) | −3.63358 | + | 9.78365i | −0.273117 | + | 0.735384i | ||||
\(178\) | −0.0519225 | − | 1.82444i | −0.00389175 | − | 0.136747i | ||||
\(179\) | 0.445920 | + | 0.445920i | 0.0333297 | + | 0.0333297i | 0.723575 | − | 0.690246i | \(-0.242497\pi\) |
−0.690246 | + | 0.723575i | \(0.742497\pi\) | |||||||
\(180\) | 12.6908 | + | 5.25382i | 0.945914 | + | 0.391597i | ||||
\(181\) | 9.08467 | − | 9.08467i | 0.675258 | − | 0.675258i | −0.283665 | − | 0.958923i | \(-0.591551\pi\) |
0.958923 | + | 0.283665i | \(0.0915505\pi\) | |||||||
\(182\) | −4.34956 | + | 4.60439i | −0.322411 | + | 0.341300i | ||||
\(183\) | −1.16529 | − | 6.87113i | −0.0861408 | − | 0.507928i | ||||
\(184\) | 9.90612 | − | 6.90816i | 0.730289 | − | 0.509276i | ||||
\(185\) | −7.28218 | + | 4.20437i | −0.535396 | + | 0.309111i | ||||
\(186\) | −15.7859 | + | 7.78664i | −1.15748 | + | 0.570944i | ||||
\(187\) | 1.55839 | + | 5.81600i | 0.113961 | + | 0.425308i | ||||
\(188\) | −0.580241 | + | 1.15169i | −0.0423184 | + | 0.0839959i | ||||
\(189\) | 11.5502 | − | 11.1057i | 0.840154 | − | 0.807822i | ||||
\(190\) | 13.0109 | + | 21.1240i | 0.943910 | + | 1.53249i | ||||
\(191\) | −6.96468 | + | 12.0632i | −0.503946 | + | 0.872861i | 0.496043 | + | 0.868298i | \(0.334786\pi\) |
−0.999990 | + | 0.00456281i | \(0.998548\pi\) | |||||||
\(192\) | 1.06458 | + | 13.8155i | 0.0768294 | + | 0.997044i | ||||
\(193\) | −0.664728 | − | 1.15134i | −0.0478482 | − | 0.0828754i | 0.841109 | − | 0.540865i | \(-0.181903\pi\) |
−0.888958 | + | 0.457990i | \(0.848570\pi\) | |||||||
\(194\) | 5.79611 | − | 10.7332i | 0.416136 | − | 0.770597i | ||||
\(195\) | 4.69571 | + | 3.33394i | 0.336267 | + | 0.238748i | ||||
\(196\) | 2.75215 | + | 4.19608i | 0.196582 | + | 0.299720i | ||||
\(197\) | 16.7957 | − | 16.7957i | 1.19665 | − | 1.19665i | 0.221482 | − | 0.975164i | \(-0.428911\pi\) |
0.975164 | − | 0.221482i | \(-0.0710894\pi\) | |||||||
\(198\) | 1.54311 | + | 14.9813i | 0.109664 | + | 1.06468i | ||||
\(199\) | − | 2.87623i | − | 0.203891i | −0.994790 | − | 0.101945i | \(-0.967493\pi\) | ||
0.994790 | − | 0.101945i | \(-0.0325067\pi\) | |||||||
\(200\) | 0.615964 | + | 0.288663i | 0.0435552 | + | 0.0204116i | ||||
\(201\) | −6.75892 | − | 2.51022i | −0.476738 | − | 0.177057i | ||||
\(202\) | 5.16593 | + | 17.2955i | 0.363473 | + | 1.21691i | ||||
\(203\) | −1.69690 | − | 0.454684i | −0.119099 | − | 0.0319125i | ||||
\(204\) | 0.216778 | − | 5.87178i | 0.0151775 | − | 0.411107i | ||||
\(205\) | 20.8080 | − | 5.57550i | 1.45330 | − | 0.389410i | ||||
\(206\) | 1.08134 | − | 0.666032i | 0.0753408 | − | 0.0464047i | ||||
\(207\) | −12.0933 | + | 4.22335i | −0.840545 | + | 0.293543i | ||||
\(208\) | −0.856653 | + | 5.74617i | −0.0593982 | + | 0.398425i | ||||
\(209\) | −13.6016 | + | 23.5587i | −0.940844 | + | 1.62959i | ||||
\(210\) | 12.9993 | − | 11.4023i | 0.897036 | − | 0.786832i | ||||
\(211\) | 0.797494 | − | 2.97629i | 0.0549017 | − | 0.204896i | −0.933027 | − | 0.359807i | \(-0.882842\pi\) |
0.987928 | + | 0.154911i | \(0.0495091\pi\) | |||||||
\(212\) | −14.3100 | + | 16.0388i | −0.982815 | + | 1.10155i | ||||
\(213\) | −8.30732 | − | 0.781565i | −0.569208 | − | 0.0535520i | ||||
\(214\) | −4.71925 | + | 4.99573i | −0.322601 | + | 0.341501i | ||||
\(215\) | − | 24.9422i | − | 1.70105i | ||||||
\(216\) | 2.86307 | − | 14.4154i | 0.194807 | − | 0.980842i | ||||
\(217\) | 22.1591i | 1.50426i | ||||||||
\(218\) | −15.6190 | − | 14.7546i | −1.05785 | − | 0.999308i | ||||
\(219\) | 0.0438745 | + | 0.00412777i | 0.00296476 | + | 0.000278929i | ||||
\(220\) | 0.924330 | + | 16.2263i | 0.0623183 | + | 1.09398i | ||||
\(221\) | 0.637621 | − | 2.37963i | 0.0428910 | − | 0.160072i | ||||
\(222\) | 5.93309 | + | 6.76408i | 0.398203 | + | 0.453975i | ||||
\(223\) | 5.89459 | − | 10.2097i | 0.394731 | − | 0.683694i | −0.598336 | − | 0.801245i | \(-0.704171\pi\) |
0.993067 | + | 0.117552i | \(0.0375046\pi\) | |||||||
\(224\) | 16.1909 | + | 6.49200i | 1.08180 | + | 0.433765i | ||||
\(225\) | −0.546599 | − | 0.470968i | −0.0364399 | − | 0.0313979i | ||||
\(226\) | −10.2477 | − | 16.6378i | −0.681670 | − | 1.10673i | ||||
\(227\) | 25.6612 | − | 6.87589i | 1.70319 | − | 0.456369i | 0.729451 | − | 0.684033i | \(-0.239775\pi\) |
0.973740 | + | 0.227664i | \(0.0731087\pi\) | |||||||
\(228\) | 19.4509 | − | 18.0658i | 1.28817 | − | 1.19644i | ||||
\(229\) | −16.4490 | − | 4.40749i | −1.08698 | − | 0.291255i | −0.329526 | − | 0.944146i | \(-0.606889\pi\) |
−0.757451 | + | 0.652891i | \(0.773556\pi\) | |||||||
\(230\) | −13.2452 | + | 3.95616i | −0.873364 | + | 0.260862i | ||||
\(231\) | 17.7737 | + | 6.60102i | 1.16942 | + | 0.434315i | ||||
\(232\) | −1.51522 | + | 0.548219i | −0.0994792 | + | 0.0359923i | ||||
\(233\) | 2.20632i | 0.144541i | 0.997385 | + | 0.0722703i | \(0.0230244\pi\) | ||||
−0.997385 | + | 0.0722703i | \(0.976976\pi\) | |||||||
\(234\) | 2.51805 | − | 5.62413i | 0.164610 | − | 0.367661i | ||||
\(235\) | 1.04375 | − | 1.04375i | 0.0680870 | − | 0.0680870i | ||||
\(236\) | 11.7991 | + | 2.45199i | 0.768054 | + | 0.159611i | ||||
\(237\) | 22.3396 | + | 15.8611i | 1.45112 | + | 1.03029i | ||||
\(238\) | −6.50865 | − | 3.51479i | −0.421893 | − | 0.227830i | ||||
\(239\) | 4.25004 | + | 7.36128i | 0.274912 | + | 0.476161i | 0.970113 | − | 0.242654i | \(-0.0780180\pi\) |
−0.695201 | + | 0.718815i | \(0.744685\pi\) | |||||||
\(240\) | 3.79769 | − | 15.3988i | 0.245140 | − | 0.993986i | ||||
\(241\) | −9.09368 | + | 15.7507i | −0.585775 | + | 1.01459i | 0.409003 | + | 0.912533i | \(0.365877\pi\) |
−0.994778 | + | 0.102060i | \(0.967457\pi\) | |||||||
\(242\) | −1.92807 | + | 1.18755i | −0.123941 | + | 0.0763389i | ||||
\(243\) | −7.04627 | + | 13.9050i | −0.452018 | + | 0.892009i | ||||
\(244\) | −7.64214 | + | 2.52153i | −0.489238 | + | 0.161424i | ||||
\(245\) | −1.48660 | − | 5.54805i | −0.0949751 | − | 0.354452i | ||||
\(246\) | −10.1969 | − | 20.6722i | −0.650129 | − | 1.31801i | ||||
\(247\) | 9.63911 | − | 5.56514i | 0.613322 | − | 0.354102i | ||||
\(248\) | 11.6261 | + | 16.6714i | 0.738255 | + | 1.05864i | ||||
\(249\) | 2.80367 | + | 16.5318i | 0.177675 | + | 1.04766i | ||||
\(250\) | 11.2011 | + | 10.5811i | 0.708417 | + | 0.669210i | ||||
\(251\) | 4.42291 | − | 4.42291i | 0.279171 | − | 0.279171i | −0.553607 | − | 0.832778i | \(-0.686749\pi\) |
0.832778 | + | 0.553607i | \(0.186749\pi\) | |||||||
\(252\) | −14.6808 | − | 11.2605i | −0.924806 | − | 0.709345i | ||||
\(253\) | −10.7178 | − | 10.7178i | −0.673821 | − | 0.673821i | ||||
\(254\) | −15.6566 | + | 0.445577i | −0.982380 | + | 0.0279580i | ||||
\(255\) | −2.34152 | + | 6.30469i | −0.146631 | + | 0.394815i | ||||
\(256\) | 15.5873 | − | 3.61046i | 0.974208 | − | 0.225654i | ||||
\(257\) | 0.433089 | + | 0.750132i | 0.0270153 | + | 0.0467920i | 0.879217 | − | 0.476422i | \(-0.158066\pi\) |
−0.852202 | + | 0.523213i | \(0.824733\pi\) | |||||||
\(258\) | −26.1752 | + | 5.20919i | −1.62960 | + | 0.324310i | ||||
\(259\) | 10.9410 | − | 2.93163i | 0.679840 | − | 0.182163i | ||||
\(260\) | 2.99199 | − | 5.93867i | 0.185555 | − | 0.368301i | ||||
\(261\) | 1.70439 | − | 0.126679i | 0.105499 | − | 0.00784124i | ||||
\(262\) | 0.518671 | − | 2.18225i | 0.0320436 | − | 0.134820i | ||||
\(263\) | 7.59086 | + | 4.38259i | 0.468073 | + | 0.270242i | 0.715433 | − | 0.698682i | \(-0.246230\pi\) |
−0.247360 | + | 0.968924i | \(0.579563\pi\) | |||||||
\(264\) | 16.8354 | − | 4.35889i | 1.03614 | − | 0.268271i | ||||
\(265\) | 21.3068 | − | 12.3015i | 1.30886 | − | 0.755673i | ||||
\(266\) | −9.56439 | − | 32.0215i | −0.586430 | − | 1.96336i | ||||
\(267\) | 2.22555 | + | 0.209383i | 0.136201 | + | 0.0128140i | ||||
\(268\) | −1.69393 | + | 8.15125i | −0.103473 | + | 0.497917i | ||||
\(269\) | −6.48858 | − | 6.48858i | −0.395616 | − | 0.395616i | 0.481068 | − | 0.876683i | \(-0.340249\pi\) |
−0.876683 | + | 0.481068i | \(0.840249\pi\) | |||||||
\(270\) | −8.28207 | + | 14.6422i | −0.504031 | + | 0.891097i | ||||
\(271\) | 27.4975 | 1.67035 | 0.835177 | − | 0.549981i | \(-0.185365\pi\) | ||||
0.835177 | + | 0.549981i | \(0.185365\pi\) | |||||||
\(272\) | −6.74087 | + | 0.770488i | −0.408725 | + | 0.0467177i | ||||
\(273\) | −4.94745 | − | 5.97506i | −0.299433 | − | 0.361627i | ||||
\(274\) | −18.5652 | − | 10.0255i | −1.12156 | − | 0.605665i | ||||
\(275\) | 0.220966 | − | 0.824656i | 0.0133247 | − | 0.0497286i | ||||
\(276\) | 6.91799 | + | 13.0737i | 0.416414 | + | 0.786945i | ||||
\(277\) | 5.27098 | + | 19.6716i | 0.316703 | + | 1.18195i | 0.922394 | + | 0.386251i | \(0.126230\pi\) |
−0.605691 | + | 0.795700i | \(0.707103\pi\) | |||||||
\(278\) | −17.2806 | − | 4.10720i | −1.03642 | − | 0.246333i | ||||
\(279\) | −7.10766 | − | 20.3524i | −0.425525 | − | 1.21847i | ||||
\(280\) | −15.2706 | − | 12.8634i | −0.912593 | − | 0.768734i | ||||
\(281\) | 12.6319 | + | 7.29301i | 0.753554 | + | 0.435065i | 0.826977 | − | 0.562236i | \(-0.190059\pi\) |
−0.0734227 | + | 0.997301i | \(0.523392\pi\) | |||||||
\(282\) | −1.31334 | − | 0.877361i | −0.0782081 | − | 0.0522461i | ||||
\(283\) | 4.95213 | + | 1.32692i | 0.294374 | + | 0.0788772i | 0.402983 | − | 0.915207i | \(-0.367973\pi\) |
−0.108610 | + | 0.994084i | \(0.534640\pi\) | |||||||
\(284\) | 0.547960 | + | 9.61923i | 0.0325154 | + | 0.570796i | ||||
\(285\) | −27.6217 | + | 12.6610i | −1.63617 | + | 0.749972i | ||||
\(286\) | 7.28848 | − | 0.207426i | 0.430977 | − | 0.0122654i | ||||
\(287\) | −29.0182 | −1.71289 | ||||||||
\(288\) | −16.9531 | − | 0.769384i | −0.998972 | − | 0.0453364i | ||||
\(289\) | −14.1229 | −0.830761 | ||||||||
\(290\) | 1.84361 | − | 0.0524682i | 0.108261 | − | 0.00308104i | ||||
\(291\) | 12.1816 | + | 8.64889i | 0.714097 | + | 0.507007i | ||||
\(292\) | −0.00289400 | − | 0.0508032i | −0.000169359 | − | 0.00297303i | ||||
\(293\) | −9.85233 | − | 2.63992i | −0.575579 | − | 0.154226i | −0.0407250 | − | 0.999170i | \(-0.512967\pi\) |
−0.534854 | + | 0.844944i | \(0.679633\pi\) | |||||||
\(294\) | −5.51183 | + | 2.71879i | −0.321457 | + | 0.158563i | ||||
\(295\) | −11.9458 | − | 6.89692i | −0.695512 | − | 0.401554i | ||||
\(296\) | 6.69336 | − | 7.94594i | 0.389043 | − | 0.461848i | ||||
\(297\) | −18.4418 | − | 0.361814i | −1.07010 | − | 0.0209946i | ||||
\(298\) | 21.2802 | + | 5.05783i | 1.23273 | + | 0.292992i | ||||
\(299\) | 1.60510 | + | 5.99031i | 0.0928253 | + | 0.346429i | ||||
\(300\) | −0.442901 | + | 0.705653i | −0.0255709 | + | 0.0407409i | ||||
\(301\) | −8.69589 | + | 32.4535i | −0.501223 | + | 1.87059i | ||||
\(302\) | −2.08301 | − | 1.12486i | −0.119864 | − | 0.0647286i | ||||
\(303\) | −21.7961 | + | 3.69645i | −1.25215 | + | 0.212355i | ||||
\(304\) | −23.9963 | − | 19.0734i | −1.37628 | − | 1.09393i | ||||
\(305\) | 9.21109 | 0.527426 | ||||||||
\(306\) | 7.10537 | + | 1.14053i | 0.406187 | + | 0.0651998i | ||||
\(307\) | −13.8230 | − | 13.8230i | −0.788919 | − | 0.788919i | 0.192398 | − | 0.981317i | \(-0.438374\pi\) |
−0.981317 | + | 0.192398i | \(0.938374\pi\) | |||||||
\(308\) | 4.45446 | − | 21.4350i | 0.253816 | − | 1.22137i | ||||
\(309\) | 0.648120 | + | 1.41396i | 0.0368703 | + | 0.0804376i | ||||
\(310\) | −6.65801 | − | 22.2910i | −0.378149 | − | 1.26604i | ||||
\(311\) | −2.07629 | + | 1.19875i | −0.117736 | + | 0.0679747i | −0.557711 | − | 0.830035i | \(-0.688320\pi\) |
0.439976 | + | 0.898010i | \(0.354987\pi\) | |||||||
\(312\) | −6.85711 | − | 1.89960i | −0.388208 | − | 0.107544i | ||||
\(313\) | −11.1437 | − | 6.43381i | −0.629878 | − | 0.363660i | 0.150827 | − | 0.988560i | \(-0.451806\pi\) |
−0.780705 | + | 0.624900i | \(0.785140\pi\) | |||||||
\(314\) | −1.62213 | + | 6.82493i | −0.0915421 | + | 0.385153i | ||||
\(315\) | 11.9191 | + | 17.5050i | 0.671563 | + | 0.986297i | ||||
\(316\) | 14.2343 | − | 28.2530i | 0.800740 | − | 1.58935i | ||||
\(317\) | 6.11177 | − | 1.63764i | 0.343271 | − | 0.0919792i | −0.0830647 | − | 0.996544i | \(-0.526471\pi\) |
0.426336 | + | 0.904565i | \(0.359804\pi\) | |||||||
\(318\) | −17.3595 | − | 19.7909i | −0.973472 | − | 1.10982i | ||||
\(319\) | 1.01116 | + | 1.75138i | 0.0566142 | + | 0.0980586i | ||||
\(320\) | −18.2378 | − | 1.66587i | −1.01952 | − | 0.0931250i | ||||
\(321\) | −5.36795 | − | 6.48290i | −0.299610 | − | 0.361840i | ||||
\(322\) | 18.6132 | − | 0.529722i | 1.03727 | − | 0.0295203i | ||||
\(323\) | 9.19124 | + | 9.19124i | 0.511414 | + | 0.511414i | ||||
\(324\) | 17.0957 | + | 5.63345i | 0.949763 | + | 0.312969i | ||||
\(325\) | −0.247002 | + | 0.247002i | −0.0137012 | + | 0.0137012i | ||||
\(326\) | 4.98350 | + | 4.70770i | 0.276011 | + | 0.260735i | ||||
\(327\) | 20.2686 | − | 16.7828i | 1.12086 | − | 0.928089i | ||||
\(328\) | −21.8319 | + | 15.2247i | −1.20546 | + | 0.840645i | ||||
\(329\) | −1.72197 | + | 0.994180i | −0.0949353 | + | 0.0548109i | ||||
\(330\) | −19.8628 | − | 1.29996i | −1.09341 | − | 0.0715602i | ||||
\(331\) | −0.286391 | − | 1.06882i | −0.0157415 | − | 0.0587479i | 0.957608 | − | 0.288073i | \(-0.0930147\pi\) |
−0.973350 | + | 0.229325i | \(0.926348\pi\) | |||||||
\(332\) | 18.3868 | − | 6.06674i | 1.00911 | − | 0.332956i | ||||
\(333\) | −9.10860 | + | 6.20199i | −0.499148 | + | 0.339867i | ||||
\(334\) | −10.0148 | + | 6.16842i | −0.547986 | + | 0.337521i | ||||
\(335\) | 4.76466 | − | 8.25263i | 0.260321 | − | 0.450889i | ||||
\(336\) | −10.3100 | + | 18.7120i | −0.562456 | + | 1.02082i | ||||
\(337\) | −12.1196 | − | 20.9918i | −0.660199 | − | 1.14350i | −0.980563 | − | 0.196204i | \(-0.937139\pi\) |
0.320364 | − | 0.947294i | \(-0.396195\pi\) | |||||||
\(338\) | 13.5517 | + | 7.31818i | 0.737117 | + | 0.398056i | ||||
\(339\) | 21.7556 | − | 9.97215i | 1.18160 | − | 0.541613i | ||||
\(340\) | 7.60344 | + | 1.58009i | 0.412355 | + | 0.0856923i | ||||
\(341\) | 18.0374 | − | 18.0374i | 0.976782 | − | 0.976782i | ||||
\(342\) | 19.0557 | + | 26.3429i | 1.03041 | + | 1.42446i | ||||
\(343\) | − | 13.8486i | − | 0.747755i | ||||||
\(344\) | 10.4848 | + | 28.9788i | 0.565300 | + | 1.56243i | ||||
\(345\) | −2.83081 | − | 16.6918i | −0.152406 | − | 0.898657i | ||||
\(346\) | −0.769755 | + | 0.229915i | −0.0413823 | + | 0.0123603i | ||||
\(347\) | −4.93905 | − | 1.32342i | −0.265142 | − | 0.0710447i | 0.123799 | − | 0.992307i | \(-0.460492\pi\) |
−0.388941 | + | 0.921263i | \(0.627159\pi\) | |||||||
\(348\) | −0.440101 | − | 1.92379i | −0.0235919 | − | 0.103126i | ||||
\(349\) | 6.12667 | − | 1.64164i | 0.327953 | − | 0.0878748i | −0.0910858 | − | 0.995843i | \(-0.529034\pi\) |
0.419039 | + | 0.907968i | \(0.362367\pi\) | |||||||
\(350\) | 0.550044 | + | 0.893030i | 0.0294011 | + | 0.0477345i | ||||
\(351\) | 6.46061 | + | 3.90097i | 0.344842 | + | 0.208219i | ||||
\(352\) | −7.89483 | − | 18.4638i | −0.420796 | − | 0.984122i | ||||
\(353\) | 6.16156 | − | 10.6721i | 0.327947 | − | 0.568021i | −0.654157 | − | 0.756358i | \(-0.726977\pi\) |
0.982104 | + | 0.188338i | \(0.0603100\pi\) | |||||||
\(354\) | −4.74297 | + | 13.9768i | −0.252086 | + | 0.742856i | ||||
\(355\) | 2.85428 | − | 10.6523i | 0.151490 | − | 0.565367i | ||||
\(356\) | −0.146800 | − | 2.57701i | −0.00778036 | − | 0.136581i | ||||
\(357\) | 5.24473 | − | 7.38697i | 0.277580 | − | 0.390960i | ||||
\(358\) | 0.648311 | + | 0.612431i | 0.0342643 | + | 0.0323680i | ||||
\(359\) | 25.7836i | 1.36081i | 0.732838 | + | 0.680403i | \(0.238195\pi\) | ||||
−0.732838 | + | 0.680403i | \(0.761805\pi\) | |||||||
\(360\) | 18.1516 | + | 6.91646i | 0.956671 | + | 0.364529i | ||||
\(361\) | 39.7258i | 2.09083i | ||||||||
\(362\) | 12.4770 | − | 13.2079i | 0.655775 | − | 0.694194i | ||||
\(363\) | −1.15562 | − | 2.52114i | −0.0606542 | − | 0.132325i | ||||
\(364\) | −5.96348 | + | 6.68394i | −0.312571 | + | 0.350334i | ||||
\(365\) | −0.0150747 | + | 0.0562594i | −0.000789044 | + | 0.00294475i | ||||
\(366\) | −1.92374 | − | 9.66643i | −0.100555 | − | 0.505272i | ||||
\(367\) | −1.72726 | + | 2.99170i | −0.0901622 | + | 0.156166i | −0.907579 | − | 0.419881i | \(-0.862072\pi\) |
0.817417 | + | 0.576046i | \(0.195405\pi\) | |||||||
\(368\) | 13.7258 | − | 10.1642i | 0.715505 | − | 0.529845i | ||||
\(369\) | 26.6522 | − | 9.30774i | 1.38746 | − | 0.484541i | ||||
\(370\) | −10.1252 | + | 6.23644i | −0.526386 | + | 0.324217i | ||||
\(371\) | −32.0120 | + | 8.57759i | −1.66198 | + | 0.445326i | ||||
\(372\) | −22.0023 | + | 11.6426i | −1.14077 | + | 0.603641i | ||||
\(373\) | 17.3353 | + | 4.64499i | 0.897590 | + | 0.240508i | 0.677981 | − | 0.735080i | \(-0.262855\pi\) |
0.219609 | + | 0.975588i | \(0.429522\pi\) | |||||||
\(374\) | 2.43699 | + | 8.15904i | 0.126014 | + | 0.421894i | ||||
\(375\) | −14.5355 | + | 12.0356i | −0.750609 | + | 0.621517i | ||||
\(376\) | −0.773919 | + | 1.65143i | −0.0399118 | + | 0.0851658i | ||||
\(377\) | − | 0.827440i | − | 0.0426153i | ||||||
\(378\) | 15.8811 | − | 16.1642i | 0.816833 | − | 0.831396i | ||||
\(379\) | 19.9585 | − | 19.9585i | 1.02520 | − | 1.02520i | 0.0255265 | − | 0.999674i | \(-0.491874\pi\) |
0.999674 | − | 0.0255265i | \(-0.00812622\pi\) | |||||||
\(380\) | 19.2426 | + | 29.3383i | 0.987124 | + | 1.50502i | ||||
\(381\) | 1.79683 | − | 19.0987i | 0.0920546 | − | 0.978457i | ||||
\(382\) | −9.36023 | + | 17.3332i | −0.478911 | + | 0.886844i | ||||
\(383\) | −5.88309 | − | 10.1898i | −0.300612 | − | 0.520675i | 0.675663 | − | 0.737211i | \(-0.263858\pi\) |
−0.976275 | + | 0.216536i | \(0.930524\pi\) | |||||||
\(384\) | 2.06075 | + | 19.4873i | 0.105162 | + | 0.994455i | ||||
\(385\) | −12.5294 | + | 21.7016i | −0.638559 | + | 1.10602i | ||||
\(386\) | −0.986007 | − | 1.60084i | −0.0501864 | − | 0.0814807i | ||||
\(387\) | −2.42275 | − | 32.5967i | −0.123156 | − | 1.65698i | ||||
\(388\) | 7.76181 | − | 15.4061i | 0.394046 | − | 0.782124i | ||||
\(389\) | 7.61717 | + | 28.4276i | 0.386206 | + | 1.44134i | 0.836258 | + | 0.548337i | \(0.184739\pi\) |
−0.450052 | + | 0.893002i | \(0.648595\pi\) | |||||||
\(390\) | 6.77218 | + | 4.52408i | 0.342923 | + | 0.229086i | ||||
\(391\) | −6.27219 | + | 3.62125i | −0.317198 | + | 0.183135i | ||||
\(392\) | 4.05937 | + | 5.82103i | 0.205029 | + | 0.294006i | ||||
\(393\) | 2.57528 | + | 0.956440i | 0.129906 | + | 0.0482460i | ||||
\(394\) | 23.0674 | − | 24.4189i | 1.16212 | − | 1.23020i | ||||
\(395\) | −25.6050 | + | 25.6050i | −1.28833 | + | 1.28833i | ||||
\(396\) | 2.78413 | + | 21.1162i | 0.139908 | + | 1.06113i | ||||
\(397\) | −7.53419 | − | 7.53419i | −0.378130 | − | 0.378130i | 0.492297 | − | 0.870427i | \(-0.336157\pi\) |
−0.870427 | + | 0.492297i | \(0.836157\pi\) | |||||||
\(398\) | −0.115715 | − | 4.06596i | −0.00580027 | − | 0.203808i | ||||
\(399\) | 40.3540 | − | 6.84373i | 2.02023 | − | 0.342615i | ||||
\(400\) | 0.882366 | + | 0.383285i | 0.0441183 | + | 0.0191643i | ||||
\(401\) | −4.77831 | − | 8.27628i | −0.238617 | − | 0.413297i | 0.721700 | − | 0.692206i | \(-0.243361\pi\) |
−0.960318 | + | 0.278908i | \(0.910028\pi\) | |||||||
\(402\) | −9.65568 | − | 3.27663i | −0.481582 | − | 0.163423i | ||||
\(403\) | −10.0814 | + | 2.70129i | −0.502189 | + | 0.134561i | ||||
\(404\) | 7.99859 | + | 24.2418i | 0.397945 | + | 1.20607i | ||||
\(405\) | −16.5621 | − | 12.2547i | −0.822978 | − | 0.608940i | ||||
\(406\) | −2.41710 | − | 0.574491i | −0.119959 | − | 0.0285115i | ||||
\(407\) | −11.2923 | − | 6.51959i | −0.559737 | − | 0.323164i | ||||
\(408\) | 0.0702162 | − | 8.30931i | 0.00347622 | − | 0.411372i | ||||
\(409\) | −17.7240 | + | 10.2330i | −0.876395 | + | 0.505987i | −0.869468 | − | 0.493989i | \(-0.835538\pi\) |
−0.00692724 | + | 0.999976i | \(0.502205\pi\) | |||||||
\(410\) | 29.1908 | − | 8.71889i | 1.44163 | − | 0.430595i | ||||
\(411\) | 14.9600 | − | 21.0705i | 0.737922 | − | 1.03933i | ||||
\(412\) | 1.50184 | − | 0.985035i | 0.0739902 | − | 0.0485292i | ||||
\(413\) | 13.1387 | + | 13.1387i | 0.646513 | + | 0.646513i | ||||
\(414\) | −16.9257 | + | 6.45683i | −0.831854 | + | 0.317336i | ||||
\(415\) | −22.1617 | −1.08788 | ||||||||
\(416\) | −0.979823 | + | 8.15749i | −0.0480398 | + | 0.399954i | ||||
\(417\) | 7.57376 | − | 20.3928i | 0.370889 | − | 0.998642i | ||||
\(418\) | −18.2800 | + | 33.8508i | −0.894105 | + | 1.65569i | ||||
\(419\) | −0.851695 | + | 3.17857i | −0.0416080 | + | 0.155283i | −0.983604 | − | 0.180340i | \(-0.942280\pi\) |
0.941996 | + | 0.335623i | \(0.108947\pi\) | |||||||
\(420\) | 17.9176 | − | 16.6417i | 0.874289 | − | 0.812033i | ||||
\(421\) | 2.22646 | + | 8.30926i | 0.108511 | + | 0.404969i | 0.998720 | − | 0.0505841i | \(-0.0161083\pi\) |
−0.890209 | + | 0.455553i | \(0.849442\pi\) | |||||||
\(422\) | 1.00763 | − | 4.23949i | 0.0490506 | − | 0.206375i | ||||
\(423\) | 1.26268 | − | 1.46545i | 0.0613938 | − | 0.0712528i | ||||
\(424\) | −19.5839 | + | 23.2489i | −0.951080 | + | 1.12906i | ||||
\(425\) | −0.353287 | − | 0.203971i | −0.0171370 | − | 0.00989402i | ||||
\(426\) | −11.7750 | − | 0.770637i | −0.570501 | − | 0.0373375i | ||||
\(427\) | −11.9850 | − | 3.21136i | −0.579994 | − | 0.155409i | ||||
\(428\) | −6.47034 | + | 7.25203i | −0.312756 | + | 0.350540i | ||||
\(429\) | −0.836467 | + | 8.89088i | −0.0403850 | + | 0.429256i | ||||
\(430\) | −1.00346 | − | 35.2594i | −0.0483912 | − | 1.70036i | ||||
\(431\) | −7.01916 | −0.338101 | −0.169051 | − | 0.985607i | \(-0.554070\pi\) | ||||
−0.169051 | + | 0.985607i | \(0.554070\pi\) | |||||||
\(432\) | 3.46740 | − | 20.4933i | 0.166825 | − | 0.985986i | ||||
\(433\) | 25.2759 | 1.21468 | 0.607342 | − | 0.794440i | \(-0.292236\pi\) | ||||
0.607342 | + | 0.794440i | \(0.292236\pi\) | |||||||
\(434\) | 0.891493 | + | 31.3250i | 0.0427930 | + | 1.50365i | ||||
\(435\) | −0.211584 | + | 2.24894i | −0.0101447 | + | 0.107828i | ||||
\(436\) | −22.6733 | − | 20.2293i | −1.08585 | − | 0.968809i | ||||
\(437\) | −31.6062 | − | 8.46886i | −1.51193 | − | 0.405120i | ||||
\(438\) | 0.0621888 | + | 0.00407006i | 0.00297150 | + | 0.000194475i | ||||
\(439\) | −22.3355 | − | 12.8954i | −1.06602 | − | 0.615464i | −0.138925 | − | 0.990303i | \(-0.544365\pi\) |
−0.927090 | + | 0.374839i | \(0.877698\pi\) | |||||||
\(440\) | 1.95948 | + | 22.9010i | 0.0934144 | + | 1.09176i | ||||
\(441\) | −2.48172 | − | 7.10628i | −0.118177 | − | 0.338394i | ||||
\(442\) | 0.805631 | − | 3.38960i | 0.0383200 | − | 0.161227i | ||||
\(443\) | 1.27907 | + | 4.77356i | 0.0607705 | + | 0.226799i | 0.989631 | − | 0.143630i | \(-0.0458775\pi\) |
−0.928861 | + | 0.370429i | \(0.879211\pi\) | |||||||
\(444\) | 8.65938 | + | 9.32328i | 0.410956 | + | 0.442463i | ||||
\(445\) | −0.764668 | + | 2.85378i | −0.0362487 | + | 0.135282i | ||||
\(446\) | 7.92208 | − | 14.6700i | 0.375121 | − | 0.694646i | ||||
\(447\) | −9.32675 | + | 25.1129i | −0.441140 | + | 1.18780i | ||||
\(448\) | 23.1492 | + | 8.52598i | 1.09370 | + | 0.402815i | ||||
\(449\) | −6.88400 | −0.324876 | −0.162438 | − | 0.986719i | \(-0.551936\pi\) | ||||
−0.162438 | + | 0.986719i | \(0.551936\pi\) | |||||||
\(450\) | −0.791642 | − | 0.643789i | −0.0373184 | − | 0.0303485i | ||||
\(451\) | 23.6207 | + | 23.6207i | 1.11225 | + | 1.11225i | ||||
\(452\) | −15.1560 | − | 23.1076i | −0.712878 | − | 1.08689i | ||||
\(453\) | 1.67851 | − | 2.36411i | 0.0788632 | − | 0.111075i | ||||
\(454\) | 35.9991 | − | 10.7524i | 1.68952 | − | 0.504636i | ||||
\(455\) | 8.87928 | − | 5.12645i | 0.416267 | − | 0.240332i | ||||
\(456\) | 26.7697 | − | 26.3211i | 1.25361 | − | 1.23260i | ||||
\(457\) | −5.49636 | − | 3.17333i | −0.257109 | − | 0.148442i | 0.365906 | − | 0.930652i | \(-0.380759\pi\) |
−0.623015 | + | 0.782210i | \(0.714092\pi\) | |||||||
\(458\) | −23.4302 | − | 5.56884i | −1.09482 | − | 0.260215i | ||||
\(459\) | −2.44770 | + | 8.46696i | −0.114249 | + | 0.395204i | ||||
\(460\) | −18.5648 | + | 6.12547i | −0.865589 | + | 0.285602i | ||||
\(461\) | −14.3089 | + | 3.83405i | −0.666430 | + | 0.178569i | −0.576146 | − | 0.817347i | \(-0.695444\pi\) |
−0.0902836 | + | 0.995916i | \(0.528777\pi\) | |||||||
\(462\) | 25.3912 | + | 8.61641i | 1.18130 | + | 0.400872i | ||||
\(463\) | 6.15194 | + | 10.6555i | 0.285905 | + | 0.495202i | 0.972828 | − | 0.231528i | \(-0.0743725\pi\) |
−0.686923 | + | 0.726730i | \(0.741039\pi\) | |||||||
\(464\) | −2.11993 | + | 0.835944i | −0.0984151 | + | 0.0388077i | ||||
\(465\) | 28.0914 | − | 4.76409i | 1.30271 | − | 0.220929i | ||||
\(466\) | 0.0887633 | + | 3.11894i | 0.00411188 | + | 0.144482i | ||||
\(467\) | −12.7214 | − | 12.7214i | −0.588676 | − | 0.588676i | 0.348596 | − | 0.937273i | \(-0.386658\pi\) |
−0.937273 | + | 0.348596i | \(0.886658\pi\) | |||||||
\(468\) | 3.33335 | − | 8.05180i | 0.154084 | − | 0.372195i | ||||
\(469\) | −9.07672 | + | 9.07672i | −0.419124 | + | 0.419124i | ||||
\(470\) | 1.43350 | − | 1.51749i | 0.0661225 | − | 0.0699964i | ||||
\(471\) | −8.05412 | − | 2.99124i | −0.371114 | − | 0.137829i | ||||
\(472\) | 16.7783 | + | 2.99154i | 0.772284 | + | 0.137697i | ||||
\(473\) | 33.4954 | − | 19.3386i | 1.54012 | − | 0.889190i | ||||
\(474\) | 32.2183 | + | 21.5231i | 1.47984 | + | 0.988590i | ||||
\(475\) | −0.477017 | − | 1.78025i | −0.0218870 | − | 0.0816835i | ||||
\(476\) | −9.34230 | − | 4.70680i | −0.428204 | − | 0.215736i | ||||
\(477\) | 26.6507 | − | 18.1463i | 1.22025 | − | 0.830860i | ||||
\(478\) | 6.30418 | + | 10.2352i | 0.288346 | + | 0.468148i | ||||
\(479\) | 20.3626 | − | 35.2690i | 0.930389 | − | 1.61148i | 0.147732 | − | 0.989027i | \(-0.452803\pi\) |
0.782657 | − | 0.622454i | \(-0.213864\pi\) | |||||||
\(480\) | 4.74905 | − | 21.9211i | 0.216764 | − | 1.00056i | ||||
\(481\) | 2.66751 | + | 4.62026i | 0.121628 | + | 0.210666i | ||||
\(482\) | −12.2215 | + | 22.6317i | −0.556675 | + | 1.03085i | ||||
\(483\) | −2.13616 | + | 22.7054i | −0.0971986 | + | 1.03313i | ||||
\(484\) | −2.67782 | + | 1.75634i | −0.121719 | + | 0.0798339i | ||||
\(485\) | −13.9621 | + | 13.9621i | −0.633988 | + | 0.633988i | ||||
\(486\) | −9.40148 | + | 19.9402i | −0.426460 | + | 0.904507i | ||||
\(487\) | 33.9729i | 1.53946i | 0.638370 | + | 0.769730i | \(0.279609\pi\) | ||||
−0.638370 | + | 0.769730i | \(0.720391\pi\) | |||||||
\(488\) | −10.7018 | + | 3.87199i | −0.484448 | + | 0.175277i | ||||
\(489\) | −6.46704 | + | 5.35482i | −0.292449 | + | 0.242153i | ||||
\(490\) | −2.32472 | − | 7.78315i | −0.105020 | − | 0.351607i | ||||
\(491\) | −31.3167 | − | 8.39129i | −1.41330 | − | 0.378694i | −0.530200 | − | 0.847872i | \(-0.677883\pi\) |
−0.883103 | + | 0.469179i | \(0.844550\pi\) | |||||||
\(492\) | −15.2464 | − | 28.8129i | −0.687361 | − | 1.29898i | ||||
\(493\) | 0.933389 | − | 0.250101i | 0.0420377 | − | 0.0112640i | ||||
\(494\) | 13.4024 | − | 8.25491i | 0.603000 | − | 0.371406i | ||||
\(495\) | 4.54696 | − | 23.9511i | 0.204370 | − | 1.07652i | ||||
\(496\) | 17.1058 | + | 23.0997i | 0.768072 | + | 1.03721i | ||||
\(497\) | −7.42767 | + | 12.8651i | −0.333177 | + | 0.577079i | ||||
\(498\) | 4.62848 | + | 23.2572i | 0.207407 | + | 1.04218i | ||||
\(499\) | −3.79403 | + | 14.1595i | −0.169844 | + | 0.633867i | 0.827528 | + | 0.561424i | \(0.189746\pi\) |
−0.997373 | + | 0.0724432i | \(0.976920\pi\) | |||||||
\(500\) | 16.2600 | + | 14.5073i | 0.727168 | + | 0.648786i | ||||
\(501\) | −6.00253 | − | 13.0954i | −0.268173 | − | 0.585057i | ||||
\(502\) | 6.07446 | − | 6.43034i | 0.271117 | − | 0.287000i | ||||
\(503\) | 29.4642i | 1.31374i | 0.754002 | + | 0.656872i | \(0.228121\pi\) | ||||
−0.754002 | + | 0.656872i | \(0.771879\pi\) | |||||||
\(504\) | −21.2065 | − | 15.3277i | −0.944611 | − | 0.682750i | ||||
\(505\) | − | 29.2187i | − | 1.30022i | ||||||
\(506\) | −15.5823 | − | 14.7199i | −0.692717 | − | 0.654380i | ||||
\(507\) | −10.9201 | + | 15.3805i | −0.484979 | + | 0.683071i | ||||
\(508\) | −22.1148 | + | 1.25977i | −0.981187 | + | 0.0558933i | ||||
\(509\) | 1.54692 | − | 5.77318i | 0.0685659 | − | 0.255892i | −0.923132 | − | 0.384484i | \(-0.874379\pi\) |
0.991697 | + | 0.128593i | \(0.0410460\pi\) | |||||||
\(510\) | −3.05642 | + | 9.00677i | −0.135340 | + | 0.398826i | ||||
\(511\) | 0.0392286 | − | 0.0679460i | 0.00173537 | − | 0.00300575i | ||||
\(512\) | 21.8896 | − | 5.73099i | 0.967394 | − | 0.253277i | ||||
\(513\) | −34.8687 | + | 19.2295i | −1.53949 | + | 0.849004i | ||||
\(514\) | 0.642411 | + | 1.04299i | 0.0283355 | + | 0.0460045i | ||||
\(515\) | −1.98573 | + | 0.532074i | −0.0875016 | + | 0.0234460i | ||||
\(516\) | −36.7928 | + | 8.41699i | −1.61971 | + | 0.370538i | ||||
\(517\) | 2.21094 | + | 0.592419i | 0.0972369 | + | 0.0260545i | ||||
\(518\) | 15.3487 | − | 4.58444i | 0.674383 | − | 0.201429i | ||||
\(519\) | −0.164514 | − | 0.970057i | −0.00722138 | − | 0.0425808i | ||||
\(520\) | 3.99068 | − | 8.51552i | 0.175003 | − | 0.373430i | ||||
\(521\) | − | 26.7544i | − | 1.17213i | −0.810264 | − | 0.586065i | \(-0.800676\pi\) | ||
0.810264 | − | 0.586065i | \(-0.199324\pi\) | |||||||
\(522\) | 2.40430 | − | 0.247649i | 0.105233 | − | 0.0108393i | ||||
\(523\) | 22.3142 | − | 22.3142i | 0.975731 | − | 0.975731i | −0.0239815 | − | 0.999712i | \(-0.507634\pi\) |
0.999712 | + | 0.0239815i | \(0.00763427\pi\) | |||||||
\(524\) | 0.645419 | − | 3.10578i | 0.0281953 | − | 0.135677i | ||||
\(525\) | −1.16773 | + | 0.535251i | −0.0509637 | + | 0.0233603i | ||||
\(526\) | 10.9071 | + | 5.89001i | 0.475571 | + | 0.256817i | ||||
\(527\) | −6.09436 | − | 10.5557i | −0.265475 | − | 0.459816i | ||||
\(528\) | 23.6238 | − | 6.83921i | 1.02809 | − | 0.297638i | ||||
\(529\) | −2.38414 | + | 4.12944i | −0.103658 | + | 0.179541i | ||||
\(530\) | 29.6252 | − | 18.2471i | 1.28684 | − | 0.792602i | ||||
\(531\) | −16.2818 | − | 7.85315i | −0.706569 | − | 0.340798i | ||||
\(532\) | −14.8089 | − | 44.8821i | −0.642046 | − | 1.94589i | ||||
\(533\) | −3.53744 | − | 13.2019i | −0.153224 | − | 0.571838i | ||||
\(534\) | 3.15455 | + | 0.206455i | 0.136511 | + | 0.00893419i | ||||
\(535\) | 9.63396 | − | 5.56217i | 0.416512 | − | 0.240473i | ||||
\(536\) | −2.06667 | + | 11.5911i | −0.0892666 | + | 0.500659i | ||||
\(537\) | −0.841306 | + | 0.696616i | −0.0363050 | + | 0.0300612i | ||||
\(538\) | −9.43357 | − | 8.91148i | −0.406710 | − | 0.384201i | ||||
\(539\) | 6.29798 | − | 6.29798i | 0.271273 | − | 0.271273i | ||||
\(540\) | −11.1188 | + | 21.0320i | −0.478477 | + | 0.905075i | ||||
\(541\) | 8.87843 | + | 8.87843i | 0.381713 | + | 0.381713i | 0.871719 | − | 0.490006i | \(-0.163005\pi\) |
−0.490006 | + | 0.871719i | \(0.663005\pi\) | |||||||
\(542\) | 38.8716 | − | 1.10626i | 1.66968 | − | 0.0475181i | ||||
\(543\) | 14.1921 | + | 17.1398i | 0.609039 | + | 0.735539i | ||||
\(544\) | −9.49818 | + | 1.36039i | −0.407231 | + | 0.0583262i | ||||
\(545\) | 17.3900 | + | 30.1203i | 0.744904 | + | 1.29021i | ||||
\(546\) | −7.23431 | − | 8.24755i | −0.309600 | − | 0.352962i | ||||
\(547\) | −29.2821 | + | 7.84612i | −1.25201 | + | 0.335476i | −0.823114 | − | 0.567876i | \(-0.807765\pi\) |
−0.428899 | + | 0.903352i | \(0.641099\pi\) | |||||||
\(548\) | −26.6479 | − | 13.4256i | −1.13834 | − | 0.573514i | ||||
\(549\) | 12.0379 | − | 0.894716i | 0.513764 | − | 0.0381855i | ||||
\(550\) | 0.279189 | − | 1.17466i | 0.0119047 | − | 0.0500875i | ||||
\(551\) | 3.78085 | + | 2.18288i | 0.161070 | + | 0.0929936i | ||||
\(552\) | 10.3055 | + | 18.2032i | 0.438633 | + | 0.774781i | ||||
\(553\) | 42.2428 | − | 24.3889i | 1.79635 | − | 1.03712i | ||||
\(554\) | 8.24269 | + | 27.5965i | 0.350198 | + | 1.17246i | ||||
\(555\) | −6.06872 | − | 13.2398i | −0.257603 | − | 0.561996i | ||||
\(556\) | −24.5937 | − | 5.11088i | −1.04301 | − | 0.216750i | ||||
\(557\) | −21.6018 | − | 21.6018i | −0.915297 | − | 0.915297i | 0.0813861 | − | 0.996683i | \(-0.474065\pi\) |
−0.996683 | + | 0.0813861i | \(0.974065\pi\) | |||||||
\(558\) | −10.8665 | − | 28.4851i | −0.460015 | − | 1.20587i | ||||
\(559\) | −15.8249 | −0.669322 | ||||||||
\(560\) | −22.1047 | − | 17.5698i | −0.934093 | − | 0.742461i | ||||
\(561\) | −10.2822 | + | 1.74378i | −0.434113 | + | 0.0736222i | ||||
\(562\) | 18.1503 | + | 9.80150i | 0.765626 | + | 0.413451i | ||||
\(563\) | 1.89104 | − | 7.05746i | 0.0796979 | − | 0.297437i | −0.914560 | − | 0.404451i | \(-0.867463\pi\) |
0.994257 | + | 0.107015i | \(0.0341292\pi\) | |||||||
\(564\) | −1.89189 | − | 1.18744i | −0.0796628 | − | 0.0500001i | ||||
\(565\) | 8.18663 | + | 30.5529i | 0.344414 | + | 1.28537i | ||||
\(566\) | 7.05392 | + | 1.67656i | 0.296498 | + | 0.0704709i | ||||
\(567\) | 17.2772 | + | 21.7194i | 0.725575 | + | 0.912128i | ||||
\(568\) | 1.16161 | + | 13.5761i | 0.0487402 | + | 0.569640i | ||||
\(569\) | −23.2350 | − | 13.4148i | −0.974063 | − | 0.562376i | −0.0735908 | − | 0.997289i | \(-0.523446\pi\) |
−0.900473 | + | 0.434913i | \(0.856779\pi\) | |||||||
\(570\) | −38.5378 | + | 19.0094i | −1.61417 | + | 0.796214i | ||||
\(571\) | −18.7332 | − | 5.01955i | −0.783960 | − | 0.210062i | −0.155430 | − | 0.987847i | \(-0.549676\pi\) |
−0.628530 | + | 0.777785i | \(0.716343\pi\) | |||||||
\(572\) | 10.2950 | − | 0.586452i | 0.430454 | − | 0.0245208i | ||||
\(573\) | −19.6722 | − | 13.9672i | −0.821820 | − | 0.583490i | ||||
\(574\) | −41.0213 | + | 1.16744i | −1.71219 | + | 0.0487281i | ||||
\(575\) | 1.02692 | 0.0428255 | ||||||||
\(576\) | −23.9966 | − | 0.405586i | −0.999857 | − | 0.0168994i | ||||
\(577\) | 35.0568 | 1.45943 | 0.729717 | − | 0.683750i | \(-0.239652\pi\) | ||||
0.729717 | + | 0.683750i | \(0.239652\pi\) | |||||||
\(578\) | −19.9648 | + | 0.568186i | −0.830425 | + | 0.0236334i | ||||
\(579\) | 2.09326 | − | 0.959490i | 0.0869929 | − | 0.0398750i | ||||
\(580\) | 2.60410 | − | 0.148342i | 0.108129 | − | 0.00615959i | ||||
\(581\) | 28.8356 | + | 7.72648i | 1.19630 | + | 0.320548i | ||||
\(582\) | 17.5683 | + | 11.7363i | 0.728231 | + | 0.486487i | ||||
\(583\) | 33.0398 | + | 19.0755i | 1.36837 | + | 0.790027i | ||||
\(584\) | −0.00613497 | − | 0.0717011i | −0.000253867 | − | 0.00296701i | ||||
\(585\) | −6.51099 | + | 7.55656i | −0.269196 | + | 0.312425i | ||||
\(586\) | −14.0339 | − | 3.33553i | −0.579734 | − | 0.137790i | ||||
\(587\) | 4.80045 | + | 17.9155i | 0.198136 | + | 0.739453i | 0.991433 | + | 0.130618i | \(0.0416961\pi\) |
−0.793297 | + | 0.608835i | \(0.791637\pi\) | |||||||
\(588\) | −7.68237 | + | 4.06515i | −0.316816 | + | 0.167644i | ||||
\(589\) | 14.2526 | − | 53.1915i | 0.587269 | − | 2.19172i | ||||
\(590\) | −17.1646 | − | 9.26917i | −0.706654 | − | 0.381606i | ||||
\(591\) | 26.2383 | + | 31.6881i | 1.07930 | + | 1.30347i | ||||
\(592\) | 9.14233 | − | 11.5020i | 0.375747 | − | 0.472729i | ||||
\(593\) | −5.47582 | −0.224865 | −0.112432 | − | 0.993659i | \(-0.535864\pi\) | ||||
−0.112432 | + | 0.993659i | \(0.535864\pi\) | |||||||
\(594\) | −26.0847 | + | 0.230466i | −1.07027 | + | 0.00945615i | ||||
\(595\) | 8.46671 | + | 8.46671i | 0.347101 | + | 0.347101i | ||||
\(596\) | 30.2861 | + | 6.29382i | 1.24057 | + | 0.257805i | ||||
\(597\) | 4.95988 | + | 0.466633i | 0.202994 | + | 0.0190980i | ||||
\(598\) | 2.51003 | + | 8.40358i | 0.102643 | + | 0.343648i | ||||
\(599\) | −17.2378 | + | 9.95227i | −0.704319 | + | 0.406639i | −0.808954 | − | 0.587872i | \(-0.799966\pi\) |
0.104635 | + | 0.994511i | \(0.466633\pi\) | |||||||
\(600\) | −0.597714 | + | 1.01536i | −0.0244016 | + | 0.0414518i | ||||
\(601\) | −30.3863 | − | 17.5435i | −1.23948 | − | 0.715616i | −0.270495 | − | 0.962721i | \(-0.587187\pi\) |
−0.968989 | + | 0.247105i | \(0.920521\pi\) | |||||||
\(602\) | −10.9872 | + | 46.2274i | −0.447805 | + | 1.88409i | ||||
\(603\) | 5.42526 | − | 11.2481i | 0.220934 | − | 0.458057i | ||||
\(604\) | −2.98989 | − | 1.50635i | −0.121657 | − | 0.0612925i | ||||
\(605\) | 3.54061 | − | 0.948703i | 0.143946 | − | 0.0385703i | ||||
\(606\) | −30.6631 | + | 6.10233i | −1.24560 | + | 0.247890i | ||||
\(607\) | 7.86595 | + | 13.6242i | 0.319269 | + | 0.552991i | 0.980336 | − | 0.197337i | \(-0.0632292\pi\) |
−0.661067 | + | 0.750327i | \(0.729896\pi\) | |||||||
\(608\) | −34.6894 | − | 25.9975i | −1.40684 | − | 1.05434i | ||||
\(609\) | 1.05937 | − | 2.85243i | 0.0429280 | − | 0.115586i | ||||
\(610\) | 13.0212 | − | 0.370575i | 0.527212 | − | 0.0150042i | ||||
\(611\) | −0.662222 | − | 0.662222i | −0.0267906 | − | 0.0267906i | ||||
\(612\) | 10.0903 | + | 1.32644i | 0.407877 | + | 0.0536182i | ||||
\(613\) | −19.8523 | + | 19.8523i | −0.801828 | + | 0.801828i | −0.983381 | − | 0.181553i | \(-0.941888\pi\) |
0.181553 | + | 0.983381i | \(0.441888\pi\) | |||||||
\(614\) | −20.0969 | − | 18.9846i | −0.811043 | − | 0.766157i | ||||
\(615\) | 6.23875 | + | 36.7867i | 0.251571 | + | 1.48338i | ||||
\(616\) | 5.43464 | − | 30.4806i | 0.218968 | − | 1.22810i | ||||
\(617\) | 14.2878 | − | 8.24909i | 0.575207 | − | 0.332096i | −0.184019 | − | 0.982923i | \(-0.558911\pi\) |
0.759226 | + | 0.650827i | \(0.225578\pi\) | |||||||
\(618\) | 0.973096 | + | 1.97276i | 0.0391436 | + | 0.0793562i | ||||
\(619\) | 10.8215 | + | 40.3865i | 0.434954 | + | 1.62327i | 0.741176 | + | 0.671311i | \(0.234269\pi\) |
−0.306221 | + | 0.951960i | \(0.599065\pi\) | |||||||
\(620\) | −10.3088 | − | 31.2436i | −0.414012 | − | 1.25477i | ||||
\(621\) | −5.32090 | − | 21.5394i | −0.213520 | − | 0.864345i | ||||
\(622\) | −2.88690 | + | 1.77813i | −0.115754 | + | 0.0712965i | ||||
\(623\) | 1.98989 | − | 3.44659i | 0.0797232 | − | 0.138085i | ||||
\(624\) | −9.76992 | − | 2.40949i | −0.391110 | − | 0.0964567i | ||||
\(625\) | −13.0723 | − | 22.6420i | −0.522894 | − | 0.905678i | ||||
\(626\) | −16.0120 | − | 8.64677i | −0.639969 | − | 0.345595i | ||||
\(627\) | −38.4188 | − | 27.2772i | −1.53430 | − | 1.08935i | ||||
\(628\) | −2.01853 | + | 9.71326i | −0.0805483 | + | 0.387601i | ||||
\(629\) | −4.40559 | + | 4.40559i | −0.175662 | + | 0.175662i | ||||
\(630\) | 17.5535 | + | 24.2663i | 0.699349 | + | 0.966793i | ||||
\(631\) | 1.27009i | 0.0505615i | 0.999680 | + | 0.0252808i | \(0.00804797\pi\) | ||||
−0.999680 | + | 0.0252808i | \(0.991952\pi\) | |||||||
\(632\) | 18.9855 | − | 40.5122i | 0.755203 | − | 1.61149i | ||||
\(633\) | 5.00303 | + | 1.85809i | 0.198853 | + | 0.0738525i | ||||
\(634\) | 8.57396 | − | 2.56093i | 0.340516 | − | 0.101707i | ||||
\(635\) | 24.4899 | + | 6.56205i | 0.971853 | + | 0.260407i | ||||
\(636\) | −25.3363 | − | 27.2788i | −1.00465 | − | 1.08167i | ||||
\(637\) | −3.52002 | + | 0.943188i | −0.139468 | + | 0.0373705i | ||||
\(638\) | 1.49988 | + | 2.43515i | 0.0593808 | + | 0.0964084i | ||||
\(639\) | 2.69552 | − | 14.1986i | 0.106633 | − | 0.561690i | ||||
\(640\) | −25.8487 | − | 1.62121i | −1.02176 | − | 0.0640840i | ||||
\(641\) | 22.6338 | − | 39.2028i | 0.893979 | − | 1.54842i | 0.0589168 | − | 0.998263i | \(-0.481235\pi\) |
0.835063 | − | 0.550155i | \(-0.185431\pi\) | |||||||
\(642\) | −7.84918 | − | 8.94853i | −0.309782 | − | 0.353170i | ||||
\(643\) | 5.89901 | − | 22.0154i | 0.232634 | − | 0.868203i | −0.746567 | − | 0.665311i | \(-0.768299\pi\) |
0.979201 | − | 0.202892i | \(-0.0650342\pi\) | |||||||
\(644\) | 26.2911 | − | 1.49767i | 1.03602 | − | 0.0590166i | ||||
\(645\) | 43.0113 | + | 4.04657i | 1.69357 | + | 0.159333i | ||||
\(646\) | 13.3629 | + | 12.6233i | 0.525756 | + | 0.496659i | ||||
\(647\) | − | 14.3883i | − | 0.565662i | −0.959170 | − | 0.282831i | \(-0.908726\pi\) | ||
0.959170 | − | 0.282831i | \(-0.0912735\pi\) | |||||||
\(648\) | 24.3939 | + | 7.27589i | 0.958282 | + | 0.285824i | ||||
\(649\) | − | 21.3897i | − | 0.839619i | ||||||
\(650\) | −0.339234 | + | 0.359109i | −0.0133059 | + | 0.0140854i | ||||
\(651\) | −38.2120 | − | 3.59504i | −1.49765 | − | 0.140901i | ||||
\(652\) | 7.23429 | + | 6.45450i | 0.283316 | + | 0.252778i | ||||
\(653\) | −5.91845 | + | 22.0879i | −0.231607 | + | 0.864368i | 0.748043 | + | 0.663651i | \(0.230994\pi\) |
−0.979649 | + | 0.200717i | \(0.935673\pi\) | |||||||
\(654\) | 27.9773 | − | 24.5402i | 1.09400 | − | 0.959599i | ||||
\(655\) | −1.81542 | + | 3.14441i | −0.0709345 | + | 0.122862i | ||||
\(656\) | −30.2499 | + | 22.4006i | −1.18106 | + | 0.874598i | ||||
\(657\) | −0.0142362 | + | 0.0749890i | −0.000555406 | + | 0.00292560i | ||||
\(658\) | −2.39425 | + | 1.47469i | −0.0933377 | + | 0.0574895i | ||||
\(659\) | −21.4351 | + | 5.74352i | −0.834993 | + | 0.223736i | −0.650891 | − | 0.759172i | \(-0.725604\pi\) |
−0.184102 | + | 0.982907i | \(0.558938\pi\) | |||||||
\(660\) | −28.1311 | − | 1.03856i | −1.09500 | − | 0.0404260i | ||||
\(661\) | −16.0487 | − | 4.30024i | −0.624223 | − | 0.167260i | −0.0671760 | − | 0.997741i | \(-0.521399\pi\) |
−0.557047 | + | 0.830481i | \(0.688066\pi\) | |||||||
\(662\) | −0.447854 | − | 1.49941i | −0.0174063 | − | 0.0582763i | ||||
\(663\) | 4.00008 | + | 1.48560i | 0.155350 | + | 0.0576960i | ||||
\(664\) | 25.7483 | − | 9.31593i | 0.999228 | − | 0.361528i | ||||
\(665\) | 54.0966i | 2.09778i | ||||||||
\(666\) | −12.6268 | + | 9.13384i | −0.489278 | + | 0.353929i | ||||
\(667\) | −1.72006 | + | 1.72006i | −0.0666010 | + | 0.0666010i | ||||
\(668\) | −13.9092 | + | 9.12284i | −0.538162 | + | 0.352973i | ||||
\(669\) | 16.6497 | + | 11.8212i | 0.643714 | + | 0.457035i | ||||
\(670\) | 6.40350 | − | 11.8579i | 0.247389 | − | 0.458112i | ||||
\(671\) | 7.14169 | + | 12.3698i | 0.275702 | + | 0.477529i | ||||
\(672\) | −13.8218 | + | 26.8668i | −0.533188 | + | 1.03641i | ||||
\(673\) | −8.32057 | + | 14.4116i | −0.320734 | + | 0.555528i | −0.980640 | − | 0.195821i | \(-0.937263\pi\) |
0.659905 | + | 0.751349i | \(0.270596\pi\) | |||||||
\(674\) | −17.9774 | − | 29.1873i | −0.692462 | − | 1.12425i | ||||
\(675\) | 0.900833 | − | 0.866166i | 0.0346731 | − | 0.0333387i | ||||
\(676\) | 19.4517 | + | 9.80007i | 0.748143 | + | 0.376926i | ||||
\(677\) | −3.57166 | − | 13.3296i | −0.137270 | − | 0.512298i | −0.999978 | − | 0.00659653i | \(-0.997900\pi\) |
0.862708 | − | 0.505702i | \(-0.168766\pi\) | |||||||
\(678\) | 30.3534 | − | 14.9723i | 1.16572 | − | 0.575008i | ||||
\(679\) | 23.0346 | − | 13.2990i | 0.883985 | − | 0.510369i | ||||
\(680\) | 10.8121 | + | 1.92778i | 0.414625 | + | 0.0739270i | ||||
\(681\) | 7.69383 | + | 45.3666i | 0.294828 | + | 1.73845i | ||||
\(682\) | 24.7728 | − | 26.2241i | 0.948599 | − | 1.00417i | ||||
\(683\) | 32.4757 | − | 32.4757i | 1.24265 | − | 1.24265i | 0.283751 | − | 0.958898i | \(-0.408421\pi\) |
0.958898 | − | 0.283751i | \(-0.0915788\pi\) | |||||||
\(684\) | 27.9977 | + | 36.4727i | 1.07052 | + | 1.39457i | ||||
\(685\) | 24.1504 | + | 24.1504i | 0.922737 | + | 0.922737i | ||||
\(686\) | −0.557150 | − | 19.5770i | −0.0212721 | − | 0.747452i | ||||
\(687\) | 10.2691 | − | 27.6501i | 0.391789 | − | 1.05492i | ||||
\(688\) | 15.9875 | + | 40.5439i | 0.609519 | + | 1.54572i | ||||
\(689\) | −7.80481 | − | 13.5183i | −0.297339 | − | 0.515007i | ||||
\(690\) | −4.67328 | − | 23.4824i | −0.177909 | − | 0.893958i | ||||
\(691\) | 39.0522 | − | 10.4640i | 1.48562 | − | 0.398070i | 0.577362 | − | 0.816489i | \(-0.304082\pi\) |
0.908254 | + | 0.418419i | \(0.137416\pi\) | |||||||
\(692\) | −1.07891 | + | 0.355986i | −0.0410139 | + | 0.0135326i | ||||
\(693\) | −14.2666 | + | 29.5786i | −0.541943 | + | 1.12360i | ||||
\(694\) | −7.03529 | − | 1.67213i | −0.267056 | − | 0.0634732i | ||||
\(695\) | 24.8996 | + | 14.3758i | 0.944496 | + | 0.545305i | ||||
\(696\) | −0.699542 | − | 2.70185i | −0.0265161 | − | 0.102413i | ||||
\(697\) | 13.8231 | − | 7.98079i | 0.523588 | − | 0.302294i | ||||
\(698\) | 8.59487 | − | 2.56717i | 0.325320 | − | 0.0971688i | ||||
\(699\) | −3.80465 | − | 0.357947i | −0.143905 | − | 0.0135388i | ||||
\(700\) | 0.813493 | + | 1.24029i | 0.0307471 | + | 0.0468787i | ||||
\(701\) | 8.81145 | + | 8.81145i | 0.332804 | + | 0.332804i | 0.853650 | − | 0.520847i | \(-0.174384\pi\) |
−0.520847 | + | 0.853650i | \(0.674384\pi\) | |||||||
\(702\) | 9.28992 | + | 5.25466i | 0.350626 | + | 0.198324i | ||||
\(703\) | −28.1487 | −1.06165 | ||||||||
\(704\) | −11.9033 | − | 25.7835i | −0.448622 | − | 0.971753i | ||||
\(705\) | 1.63055 | + | 1.96922i | 0.0614101 | + | 0.0741652i | ||||
\(706\) | 8.28088 | − | 15.3345i | 0.311655 | − | 0.577120i | ||||
\(707\) | −10.1868 | + | 38.0178i | −0.383116 | + | 1.42981i | ||||
\(708\) | −6.14255 | + | 19.9489i | −0.230851 | + | 0.749727i | ||||
\(709\) | 2.50097 | + | 9.33375i | 0.0939260 | + | 0.350537i | 0.996854 | − | 0.0792544i | \(-0.0252539\pi\) |
−0.902928 | + | 0.429791i | \(0.858587\pi\) | |||||||
\(710\) | 3.60637 | − | 15.1734i | 0.135345 | − | 0.569447i | ||||
\(711\) | −30.9757 | + | 35.9500i | −1.16168 | + | 1.34823i | ||||
\(712\) | −0.311199 | − | 3.63706i | −0.0116627 | − | 0.136305i | ||||
\(713\) | 26.5723 | + | 15.3415i | 0.995139 | + | 0.574544i | ||||
\(714\) | 7.11697 | − | 10.6535i | 0.266346 | − | 0.398698i | ||||
\(715\) | −11.4006 | − | 3.05479i | −0.426359 | − | 0.114242i | ||||
\(716\) | 0.941119 | + | 0.839676i | 0.0351713 | + | 0.0313802i | ||||
\(717\) | −13.3836 | + | 6.13464i | −0.499818 | + | 0.229102i | ||||
\(718\) | 1.03731 | + | 36.4487i | 0.0387121 | + | 1.36025i | ||||
\(719\) | 17.6869 | 0.659611 | 0.329805 | − | 0.944049i | \(-0.393017\pi\) | ||||
0.329805 | + | 0.944049i | \(0.393017\pi\) | |||||||
\(720\) | 25.9380 | + | 9.04712i | 0.966654 | + | 0.337166i | ||||
\(721\) | 2.76922 | 0.103131 | ||||||||
\(722\) | 1.59823 | + | 56.1581i | 0.0594798 | + | 2.08999i | ||||
\(723\) | −25.6858 | − | 18.2368i | −0.955264 | − | 0.678235i | ||||
\(724\) | 17.1066 | − | 19.1733i | 0.635761 | − | 0.712569i | ||||
\(725\) | −0.132346 | − | 0.0354620i | −0.00491521 | − | 0.00131703i | ||||
\(726\) | −1.73506 | − | 3.51749i | −0.0643940 | − | 0.130546i | ||||
\(727\) | −32.8260 | − | 18.9521i | −1.21745 | − | 0.702894i | −0.253077 | − | 0.967446i | \(-0.581443\pi\) |
−0.964371 | + | 0.264552i | \(0.914776\pi\) | |||||||
\(728\) | −8.16132 | + | 9.68861i | −0.302479 | + | 0.359084i | ||||
\(729\) | −22.8352 | − | 14.4068i | −0.845747 | − | 0.533584i | ||||
\(730\) | −0.0190468 | + | 0.0801371i | −0.000704952 | + | 0.00296601i | ||||
\(731\) | −4.78321 | − | 17.8512i | −0.176914 | − | 0.660250i | ||||
\(732\) | −3.10837 | − | 13.5875i | −0.114889 | − | 0.502207i | ||||
\(733\) | −10.2081 | + | 38.0971i | −0.377044 | + | 1.40715i | 0.473291 | + | 0.880906i | \(0.343066\pi\) |
−0.850335 | + | 0.526242i | \(0.823601\pi\) | |||||||
\(734\) | −2.32136 | + | 4.29868i | −0.0856831 | + | 0.158667i | ||||
\(735\) | 9.80844 | − | 1.66344i | 0.361790 | − | 0.0613568i | ||||
\(736\) | 18.9944 | − | 14.9207i | 0.700143 | − | 0.549986i | ||||
\(737\) | 14.7768 | 0.544311 | ||||||||
\(738\) | 37.3022 | − | 14.2301i | 1.37311 | − | 0.523816i | ||||
\(739\) | −4.56683 | − | 4.56683i | −0.167993 | − | 0.167993i | 0.618103 | − | 0.786097i | \(-0.287901\pi\) |
−0.786097 | + | 0.618103i | \(0.787901\pi\) | |||||||
\(740\) | −14.0626 | + | 9.22344i | −0.516950 | + | 0.339060i | ||||
\(741\) | 8.03291 | + | 17.5249i | 0.295096 | + | 0.643794i | ||||
\(742\) | −44.9084 | + | 13.4135i | −1.64864 | + | 0.492426i | ||||
\(743\) | 10.7721 | − | 6.21930i | 0.395192 | − | 0.228164i | −0.289216 | − | 0.957264i | \(-0.593394\pi\) |
0.684407 | + | 0.729100i | \(0.260061\pi\) | |||||||
\(744\) | −30.6350 | + | 17.3436i | −1.12313 | + | 0.635849i | ||||
\(745\) | −30.6628 | − | 17.7032i | −1.12340 | − | 0.648593i | ||||
\(746\) | 24.6928 | + | 5.86892i | 0.904069 | + | 0.214877i | ||||
\(747\) | −28.9629 | + | 2.15267i | −1.05970 | + | 0.0787620i | ||||
\(748\) | 3.77329 | + | 11.4359i | 0.137965 | + | 0.418138i | ||||
\(749\) | −14.4744 | + | 3.87840i | −0.528882 | + | 0.141714i | ||||
\(750\) | −20.0637 | + | 17.5988i | −0.732624 | + | 0.642619i | ||||
\(751\) | −6.54573 | − | 11.3375i | −0.238857 | − | 0.413713i | 0.721530 | − | 0.692384i | \(-0.243439\pi\) |
−0.960387 | + | 0.278671i | \(0.910106\pi\) | |||||||
\(752\) | −1.02760 | + | 2.36566i | −0.0374729 | + | 0.0862667i | ||||
\(753\) | 6.90946 | + | 8.34458i | 0.251795 | + | 0.304093i | ||||
\(754\) | −0.0332891 | − | 1.16970i | −0.00121232 | − | 0.0425981i | ||||
\(755\) | 2.70966 | + | 2.70966i | 0.0986148 | + | 0.0986148i | ||||
\(756\) | 21.7998 | − | 23.4893i | 0.792851 | − | 0.854297i | ||||
\(757\) | −6.71290 | + | 6.71290i | −0.243985 | + | 0.243985i | −0.818496 | − | 0.574512i | \(-0.805192\pi\) |
0.574512 | + | 0.818496i | \(0.305192\pi\) | |||||||
\(758\) | 27.4112 | − | 29.0172i | 0.995621 | − | 1.05395i | ||||
\(759\) | 20.2210 | − | 16.7433i | 0.733974 | − | 0.607743i | ||||
\(760\) | 28.3824 | + | 40.6996i | 1.02954 | + | 1.47633i | ||||
\(761\) | 2.25713 | − | 1.30315i | 0.0818208 | − | 0.0472393i | −0.458531 | − | 0.888678i | \(-0.651624\pi\) |
0.540352 | + | 0.841439i | \(0.318291\pi\) | |||||||
\(762\) | 1.77171 | − | 27.0710i | 0.0641823 | − | 0.980679i | ||||
\(763\) | −12.1257 | − | 45.2538i | −0.438980 | − | 1.63830i | ||||
\(764\) | −12.5347 | + | 24.8795i | −0.453489 | + | 0.900109i | ||||
\(765\) | −10.4921 | − | 5.06065i | −0.379344 | − | 0.182968i | ||||
\(766\) | −8.72653 | − | 14.1681i | −0.315302 | − | 0.511913i | ||||
\(767\) | −4.37583 | + | 7.57916i | −0.158002 | + | 0.273668i | ||||
\(768\) | 3.69716 | + | 27.4651i | 0.133410 | + | 0.991061i | ||||
\(769\) | 16.7811 | + | 29.0657i | 0.605142 | + | 1.04814i | 0.992029 | + | 0.126010i | \(0.0402170\pi\) |
−0.386887 | + | 0.922127i | \(0.626450\pi\) | |||||||
\(770\) | −16.8390 | + | 31.1824i | −0.606837 | + | 1.12373i | ||||
\(771\) | −1.36382 | + | 0.625135i | −0.0491167 | + | 0.0225137i | ||||
\(772\) | −1.45826 | − | 2.22335i | −0.0524841 | − | 0.0800200i | ||||
\(773\) | −22.0710 | + | 22.0710i | −0.793837 | + | 0.793837i | −0.982116 | − | 0.188279i | \(-0.939709\pi\) |
0.188279 | + | 0.982116i | \(0.439709\pi\) | |||||||
\(774\) | −4.73632 | − | 45.9826i | −0.170243 | − | 1.65281i | ||||
\(775\) | 1.72825i | 0.0620806i | ||||||||
\(776\) | 10.3526 | − | 22.0909i | 0.371637 | − | 0.793017i | ||||
\(777\) | 3.28037 | + | 19.3427i | 0.117683 | + | 0.693914i | ||||
\(778\) | 11.9116 | + | 39.8800i | 0.427052 | + | 1.42977i | ||||
\(779\) | 69.6561 | + | 18.6643i | 2.49569 | + | 0.668718i | ||||
\(780\) | 9.75544 | + | 6.12297i | 0.349301 | + | 0.219238i | ||||
\(781\) | 16.5182 | − | 4.42605i | 0.591069 | − | 0.158377i | ||||
\(782\) | −8.72094 | + | 5.37149i | −0.311860 | + | 0.192084i | ||||
\(783\) | −0.0580663 | + | 2.95967i | −0.00207512 | + | 0.105770i | ||||
\(784\) | 5.97268 | + | 8.06553i | 0.213310 | + | 0.288055i | ||||
\(785\) | 5.67770 | − | 9.83406i | 0.202646 | − | 0.350993i | ||||
\(786\) | 3.67900 | + | 1.24846i | 0.131225 | + | 0.0445310i | ||||
\(787\) | −0.297829 | + | 1.11151i | −0.0106165 | + | 0.0396212i | −0.971031 | − | 0.238954i | \(-0.923195\pi\) |
0.960414 | + | 0.278575i | \(0.0898621\pi\) | |||||||
\(788\) | 31.6267 | − | 35.4475i | 1.12665 | − | 1.26277i | ||||
\(789\) | −8.78901 | + | 12.3789i | −0.312897 | + | 0.440702i | ||||
\(790\) | −35.1662 | + | 37.2264i | −1.25116 | + | 1.32446i | ||||
\(791\) | − | 42.6080i | − | 1.51497i | ||||||
\(792\) | 4.78529 | + | 29.7387i | 0.170038 | + | 1.05672i | ||||
\(793\) | − | 5.84409i | − | 0.207530i | ||||||
\(794\) | −10.9538 | − | 10.3475i | −0.388734 | − | 0.367220i | ||||
\(795\) | 17.7563 | + | 38.7379i | 0.629752 | + | 1.37389i | ||||
\(796\) | −0.327159 | − | 5.74316i | −0.0115958 | − | 0.203561i | ||||
\(797\) | −4.49076 | + | 16.7597i | −0.159071 | + | 0.593661i | 0.839651 | + | 0.543126i | \(0.182759\pi\) |
−0.998722 | + | 0.0505349i | \(0.983907\pi\) | |||||||
\(798\) | 56.7707 | − | 11.2981i | 2.00966 | − | 0.399948i | ||||
\(799\) | 0.546854 | − | 0.947178i | 0.0193463 | − | 0.0335088i | ||||
\(800\) | 1.26277 | + | 0.506329i | 0.0446456 | + | 0.0179014i | ||||
\(801\) | −0.722135 | + | 3.80385i | −0.0255154 | + | 0.134402i | ||||
\(802\) | −7.08778 | − | 11.5074i | −0.250278 | − | 0.406342i | ||||
\(803\) | −0.0872398 | + | 0.0233758i | −0.00307862 | + | 0.000824915i | ||||
\(804\) | −13.7815 | − | 4.24351i | −0.486036 | − | 0.149657i | ||||
\(805\) | −29.1147 | − | 7.80127i | −1.02616 | − | 0.274959i | ||||
\(806\) | −14.1428 | + | 4.22425i | −0.498157 | + | 0.148793i | ||||
\(807\) | 12.2418 | − | 10.1364i | 0.430933 | − | 0.356820i | ||||
\(808\) | 12.2824 | + | 33.9474i | 0.432094 | + | 1.19427i | ||||
\(809\) | − | 27.6770i | − | 0.973071i | −0.873661 | − | 0.486535i | \(-0.838260\pi\) | ||
0.873661 | − | 0.486535i | \(-0.161740\pi\) | |||||||
\(810\) | −23.9059 | − | 16.6574i | −0.839968 | − | 0.585282i | ||||
\(811\) | −4.54878 | + | 4.54878i | −0.159729 | + | 0.159729i | −0.782447 | − | 0.622717i | \(-0.786029\pi\) |
0.622717 | + | 0.782447i | \(0.286029\pi\) | |||||||
\(812\) | −3.44003 | − | 0.714880i | −0.120721 | − | 0.0250874i | ||||
\(813\) | −4.46113 | + | 47.4177i | −0.156459 | + | 1.66301i | ||||
\(814\) | −16.2255 | − | 8.76206i | −0.568703 | − | 0.307110i | ||||
\(815\) | −5.54856 | − | 9.61038i | −0.194357 | − | 0.336637i | ||||
\(816\) | −0.235035 | − | 11.7492i | −0.00822786 | − | 0.411304i | ||||
\(817\) | 41.7478 | − | 72.3093i | 1.46057 | − | 2.52978i | ||||
\(818\) | −24.6437 | + | 15.1788i | −0.861647 | + | 0.530714i | ||||
\(819\) | 11.1063 | − | 7.56219i | 0.388084 | − | 0.264244i | ||||
\(820\) | 40.9146 | − | 13.4998i | 1.42880 | − | 0.471433i | ||||
\(821\) | −13.5852 | − | 50.7007i | −0.474127 | − | 1.76947i | −0.624697 | − | 0.780867i | \(-0.714778\pi\) |
0.150570 | − | 0.988599i | \(-0.451889\pi\) | |||||||
\(822\) | 20.3004 | − | 30.3880i | 0.708057 | − | 1.05990i | ||||
\(823\) | 9.55969 | − | 5.51929i | 0.333230 | − | 0.192390i | −0.324044 | − | 0.946042i | \(-0.605043\pi\) |
0.657274 | + | 0.753652i | \(0.271709\pi\) | |||||||
\(824\) | 2.08343 | − | 1.45291i | 0.0725797 | − | 0.0506144i | ||||
\(825\) | 1.38622 | + | 0.514831i | 0.0482619 | + | 0.0179241i | ||||
\(826\) | 19.1020 | + | 18.0448i | 0.664643 | + | 0.627859i | ||||
\(827\) | −10.9860 | + | 10.9860i | −0.382020 | + | 0.382020i | −0.871830 | − | 0.489809i | \(-0.837066\pi\) |
0.489809 | + | 0.871830i | \(0.337066\pi\) | |||||||
\(828\) | −23.6671 | + | 9.80859i | −0.822490 | + | 0.340872i | ||||
\(829\) | 0.634004 | + | 0.634004i | 0.0220199 | + | 0.0220199i | 0.718031 | − | 0.696011i | \(-0.245044\pi\) |
−0.696011 | + | 0.718031i | \(0.745044\pi\) | |||||||
\(830\) | −31.3287 | + | 0.891597i | −1.08744 | + | 0.0309478i | ||||
\(831\) | −34.7775 | + | 5.89800i | −1.20642 | + | 0.204600i | ||||
\(832\) | −1.05693 | + | 11.5712i | −0.0366425 | + | 0.401158i | ||||
\(833\) | −2.12792 | − | 3.68566i | −0.0737280 | − | 0.127701i | ||||
\(834\) | 9.88615 | − | 29.1329i | 0.342329 | − | 1.00879i | ||||
\(835\) | 18.3907 | − | 4.92777i | 0.636436 | − | 0.170533i | ||||
\(836\) | −24.4795 | + | 48.5883i | −0.846642 | + | 1.68046i | ||||
\(837\) | 36.2496 | − | 8.95478i | 1.25297 | − | 0.309523i | ||||
\(838\) | −1.07611 | + | 4.52762i | −0.0371737 | + | 0.156404i | ||||
\(839\) | −33.1517 | − | 19.1402i | −1.14452 | − | 0.660792i | −0.196978 | − | 0.980408i | \(-0.563113\pi\) |
−0.947547 | + | 0.319616i | \(0.896446\pi\) | |||||||
\(840\) | 24.6595 | − | 24.2463i | 0.850835 | − | 0.836576i | ||||
\(841\) | −24.8337 | + | 14.3377i | −0.856333 | + | 0.494404i | ||||
\(842\) | 3.48171 | + | 11.6567i | 0.119988 | + | 0.401718i | ||||
\(843\) | −14.6257 | + | 20.5996i | −0.503736 | + | 0.709489i | ||||
\(844\) | 1.25387 | − | 6.03365i | 0.0431599 | − | 0.207687i | ||||
\(845\) | −17.6286 | − | 17.6286i | −0.606443 | − | 0.606443i | ||||
\(846\) | 1.72603 | − | 2.12243i | 0.0593420 | − | 0.0729705i | ||||
\(847\) | −4.93760 | −0.169658 | ||||||||
\(848\) | −26.7493 | + | 33.6534i | −0.918576 | + | 1.15566i | ||||
\(849\) | −3.09161 | + | 8.32435i | −0.106104 | + | 0.285691i | ||||
\(850\) | −0.507628 | − | 0.274128i | −0.0174115 | − | 0.00940251i | ||||
\(851\) | 4.05933 | − | 15.1496i | 0.139152 | − | 0.519322i | ||||
\(852\) | −16.6767 | − | 0.615679i | −0.571333 | − | 0.0210928i | ||||
\(853\) | −6.01502 | − | 22.4484i | −0.205950 | − | 0.768617i | −0.989158 | − | 0.146857i | \(-0.953084\pi\) |
0.783207 | − | 0.621760i | \(-0.213582\pi\) | |||||||
\(854\) | −17.0717 | − | 4.05754i | −0.584180 | − | 0.138846i | ||||
\(855\) | −17.3518 | − | 49.6859i | −0.593419 | − | 1.69922i | ||||
\(856\) | −8.85497 | + | 10.5121i | −0.302657 | + | 0.359296i | ||||
\(857\) | 23.4300 | + | 13.5273i | 0.800354 | + | 0.462085i | 0.843595 | − | 0.536980i | \(-0.180435\pi\) |
−0.0432406 | + | 0.999065i | \(0.513768\pi\) | |||||||
\(858\) | −0.824772 | + | 12.6022i | −0.0281572 | + | 0.430231i | ||||
\(859\) | −9.01240 | − | 2.41487i | −0.307499 | − | 0.0823942i | 0.101770 | − | 0.994808i | \(-0.467550\pi\) |
−0.409269 | + | 0.912414i | \(0.634216\pi\) | |||||||
\(860\) | −2.83707 | − | 49.8037i | −0.0967433 | − | 1.69829i | ||||
\(861\) | 4.70783 | − | 50.0399i | 0.160442 | − | 1.70536i | ||||
\(862\) | −9.92258 | + | 0.282391i | −0.337964 | + | 0.00961827i | ||||
\(863\) | 9.58431 | 0.326254 | 0.163127 | − | 0.986605i | \(-0.447842\pi\) | ||||
0.163127 | + | 0.986605i | \(0.447842\pi\) | |||||||
\(864\) | 4.07718 | − | 29.1097i | 0.138709 | − | 0.990333i | ||||
\(865\) | 1.30041 | 0.0442153 | ||||||||
\(866\) | 35.7311 | − | 1.01689i | 1.21419 | − | 0.0345552i | ||||
\(867\) | 2.29127 | − | 24.3541i | 0.0778156 | − | 0.827109i | ||||
\(868\) | 2.52050 | + | 44.2465i | 0.0855514 | + | 1.50182i | ||||
\(869\) | −54.2379 | − | 14.5330i | −1.83990 | − | 0.492999i | ||||
\(870\) | −0.208625 | + | 3.18771i | −0.00707306 | + | 0.108073i | ||||
\(871\) | −5.23598 | − | 3.02299i | −0.177414 | − | 0.102430i | ||||
\(872\) | −32.8657 | − | 27.6848i | −1.11297 | − | 0.937527i | ||||
\(873\) | −16.8908 | + | 19.6032i | −0.571666 | + | 0.663467i | ||||
\(874\) | −45.0205 | − | 10.7004i | −1.52284 | − | 0.361945i | ||||
\(875\) | 8.69586 | + | 32.4534i | 0.293974 | + | 1.09712i | ||||
\(876\) | 0.0880764 | + | 0.00325166i | 0.00297583 | + | 0.000109863i | ||||
\(877\) | −0.459624 | + | 1.71534i | −0.0155204 | + | 0.0579229i | −0.973252 | − | 0.229741i | \(-0.926212\pi\) |
0.957731 | + | 0.287664i | \(0.0928787\pi\) | |||||||
\(878\) | −32.0932 | − | 17.3309i | −1.08309 | − | 0.584889i | ||||
\(879\) | 6.15079 | − | 16.5614i | 0.207461 | − | 0.558603i | ||||
\(880\) | 3.69134 | + | 32.2949i | 0.124435 | + | 1.08866i | ||||
\(881\) | −40.6146 | −1.36834 | −0.684170 | − | 0.729323i | \(-0.739835\pi\) | ||||
−0.684170 | + | 0.729323i | \(0.739835\pi\) | |||||||
\(882\) | −3.79416 | − | 9.94589i | −0.127756 | − | 0.334896i | ||||
\(883\) | 17.0909 | + | 17.0909i | 0.575154 | + | 0.575154i | 0.933564 | − | 0.358410i | \(-0.116681\pi\) |
−0.358410 | + | 0.933564i | \(0.616681\pi\) | |||||||
\(884\) | 1.00251 | − | 4.82409i | 0.0337179 | − | 0.162252i | ||||
\(885\) | 13.8313 | − | 19.4808i | 0.464936 | − | 0.654842i | ||||
\(886\) | 2.00019 | + | 6.69664i | 0.0671978 | + | 0.224978i | ||||
\(887\) | 10.1059 | − | 5.83462i | 0.339322 | − | 0.195907i | −0.320650 | − | 0.947198i | \(-0.603901\pi\) |
0.659972 | + | 0.751290i | \(0.270568\pi\) | |||||||
\(888\) | 12.6164 | + | 12.8314i | 0.423377 | + | 0.430593i | ||||
\(889\) | −29.5771 | − | 17.0764i | −0.991986 | − | 0.572723i | ||||
\(890\) | −0.966154 | + | 4.06498i | −0.0323856 | + | 0.136259i | ||||
\(891\) | 3.61588 | − | 31.7431i | 0.121137 | − | 1.06343i | ||||
\(892\) | 10.6088 | − | 21.0569i | 0.355208 | − | 0.705036i | ||||
\(893\) | 4.77293 | − | 1.27890i | 0.159720 | − | 0.0427968i | ||||
\(894\) | −12.1743 | + | 35.8758i | −0.407171 | + | 1.19987i | ||||
\(895\) | −0.721820 | − | 1.25023i | −0.0241278 | − | 0.0417905i | ||||
\(896\) | 33.0677 | + | 11.1214i | 1.10472 | + | 0.371538i | ||||
\(897\) | −10.5903 | + | 1.79604i | −0.353600 | + | 0.0599680i | ||||
\(898\) | −9.73151 | + | 0.276953i | −0.324745 | + | 0.00924204i | ||||
\(899\) | −2.89476 | − | 2.89476i | −0.0965458 | − | 0.0965458i | ||||
\(900\) | −1.14500 | − | 0.878238i | −0.0381666 | − | 0.0292746i | ||||
\(901\) | 12.8902 | − | 12.8902i | 0.429435 | − | 0.429435i | ||||
\(902\) | 34.3414 | + | 32.4409i | 1.14344 | + | 1.08016i | ||||
\(903\) | −54.5532 | − | 20.2607i | −1.81542 | − | 0.674233i | ||||
\(904\) | −22.3548 | − | 32.0562i | −0.743509 | − | 1.06617i | ||||
\(905\) | −25.4707 | + | 14.7055i | −0.846675 | + | 0.488828i | ||||
\(906\) | 2.27770 | − | 3.40953i | 0.0756714 | − | 0.113274i | ||||
\(907\) | 9.62435 | + | 35.9186i | 0.319571 | + | 1.19266i | 0.919658 | + | 0.392721i | \(0.128466\pi\) |
−0.600086 | + | 0.799935i | \(0.704867\pi\) | |||||||
\(908\) | 50.4572 | − | 16.6484i | 1.67448 | − | 0.552495i | ||||
\(909\) | −2.83815 | − | 38.1856i | −0.0941354 | − | 1.26654i | ||||
\(910\) | 12.3459 | − | 7.60419i | 0.409262 | − | 0.252077i | ||||
\(911\) | −1.10222 | + | 1.90911i | −0.0365183 | + | 0.0632516i | −0.883707 | − | 0.468041i | \(-0.844960\pi\) |
0.847189 | + | 0.531292i | \(0.178293\pi\) | |||||||
\(912\) | 36.7839 | − | 38.2856i | 1.21804 | − | 1.26776i | ||||
\(913\) | −17.1828 | − | 29.7614i | −0.568666 | − | 0.984959i | ||||
\(914\) | −7.89755 | − | 4.26482i | −0.261228 | − | 0.141068i | ||||
\(915\) | −1.49438 | + | 15.8839i | −0.0494028 | + | 0.525107i | ||||
\(916\) | −33.3460 | − | 6.92971i | −1.10178 | − | 0.228964i | ||||
\(917\) | 3.45840 | − | 3.45840i | 0.114206 | − | 0.114206i | ||||
\(918\) | −3.11953 | + | 12.0677i | −0.102960 | + | 0.398294i | ||||
\(919\) | 37.2447i | 1.22859i | 0.789077 | + | 0.614294i | \(0.210559\pi\) | ||||
−0.789077 | + | 0.614294i | \(0.789441\pi\) | |||||||
\(920\) | −25.9976 | + | 9.40611i | −0.857114 | + | 0.310110i | ||||
\(921\) | 26.0795 | − | 21.5942i | 0.859347 | − | 0.711555i | ||||
\(922\) | −20.0733 | + | 5.99563i | −0.661080 | + | 0.197456i | ||||
\(923\) | −6.75849 | − | 1.81093i | −0.222458 | − | 0.0596075i | ||||
\(924\) | 36.2406 | + | 11.1590i | 1.19223 | + | 0.367104i | ||||
\(925\) | 0.853318 | − | 0.228646i | 0.0280569 | − | 0.00751783i | ||||
\(926\) | 9.12532 | + | 14.8155i | 0.299877 | + | 0.486868i | ||||
\(927\) | −2.54344 | + | 0.888244i | −0.0835376 | + | 0.0291738i | ||||
\(928\) | −2.96318 | + | 1.26701i | −0.0972713 | + | 0.0415917i | ||||
\(929\) | −24.0534 | + | 41.6617i | −0.789165 | + | 1.36687i | 0.137314 | + | 0.990528i | \(0.456153\pi\) |
−0.926479 | + | 0.376347i | \(0.877180\pi\) | |||||||
\(930\) | 39.5195 | − | 7.86487i | 1.29590 | − | 0.257899i | ||||
\(931\) | 4.97646 | − | 18.5724i | 0.163097 | − | 0.608686i | ||||
\(932\) | 0.250959 | + | 4.40549i | 0.00822043 | + | 0.144307i | ||||
\(933\) | −1.73031 | − | 3.77491i | −0.0566478 | − | 0.123585i | ||||
\(934\) | −18.4953 | − | 17.4717i | −0.605185 | − | 0.571692i | ||||
\(935\) | − | 13.7837i | − | 0.450777i | ||||||
\(936\) | 4.38822 | − | 11.5165i | 0.143434 | − | 0.376427i | ||||
\(937\) | − | 24.8374i | − | 0.811403i | −0.914006 | − | 0.405701i | \(-0.867027\pi\) | ||
0.914006 | − | 0.405701i | \(-0.132973\pi\) | |||||||
\(938\) | −12.4661 | + | 13.1964i | −0.407031 | + | 0.430877i | ||||
\(939\) | 12.9026 | − | 18.1728i | 0.421061 | − | 0.593046i | ||||
\(940\) | 1.96541 | − | 2.20285i | 0.0641045 | − | 0.0718491i | ||||
\(941\) | −14.1580 | + | 52.8385i | −0.461539 | + | 1.72249i | 0.206577 | + | 0.978430i | \(0.433768\pi\) |
−0.668116 | + | 0.744057i | \(0.732899\pi\) | |||||||
\(942\) | −11.5060 | − | 3.90452i | −0.374885 | − | 0.127216i | ||||
\(943\) | −20.0902 | + | 34.7973i | −0.654228 | + | 1.13316i | ||||
\(944\) | 23.8388 | + | 3.55395i | 0.775888 | + | 0.115671i | ||||
\(945\) | −32.1200 | + | 17.7137i | −1.04486 | + | 0.576226i | ||||
\(946\) | 46.5725 | − | 28.6854i | 1.51420 | − | 0.932643i | ||||
\(947\) | 11.9762 | − | 3.20902i | 0.389175 | − | 0.104279i | −0.0589255 | − | 0.998262i | \(-0.518767\pi\) |
0.448100 | + | 0.893983i | \(0.352101\pi\) | |||||||
\(948\) | 46.4111 | + | 29.1298i | 1.50736 | + | 0.946091i | ||||
\(949\) | 0.0356944 | + | 0.00956429i | 0.00115869 | + | 0.000310470i | ||||
\(950\) | −0.745953 | − | 2.49744i | −0.0242019 | − | 0.0810278i | ||||
\(951\) | 1.83245 | + | 10.8050i | 0.0594214 | + | 0.350377i | ||||
\(952\) | −13.3960 | − | 6.27787i | −0.434168 | − | 0.203467i | ||||
\(953\) | 29.8142i | 0.965777i | 0.875682 | + | 0.482889i | \(0.160412\pi\) | ||||
−0.875682 | + | 0.482889i | \(0.839588\pi\) | |||||||
\(954\) | 36.9444 | − | 26.7245i | 1.19612 | − | 0.865238i | ||||
\(955\) | 22.5477 | − | 22.5477i | 0.729627 | − | 0.729627i | ||||
\(956\) | 9.32363 | + | 14.2153i | 0.301548 | + | 0.459756i | ||||
\(957\) | −3.18420 | + | 1.45954i | −0.102930 | + | 0.0471803i | ||||
\(958\) | 27.3664 | − | 50.6769i | 0.884169 | − | 1.63730i | ||||
\(959\) | −23.0033 | − | 39.8429i | −0.742816 | − | 1.28660i | ||||
\(960\) | 5.83154 | − | 31.1796i | 0.188212 | − | 1.00632i | ||||
\(961\) | −10.3189 | + | 17.8728i | −0.332867 | + | 0.576543i | ||||
\(962\) | 3.95678 | + | 6.42407i | 0.127572 | + | 0.207120i | ||||
\(963\) | 12.0502 | − | 8.20492i | 0.388313 | − | 0.264400i | ||||
\(964\) | −16.3663 | + | 32.4848i | −0.527125 | + | 1.04627i | ||||
\(965\) | 0.787692 | + | 2.93971i | 0.0253567 | + | 0.0946326i | ||||
\(966\) | −2.10629 | + | 32.1833i | −0.0677688 | + | 1.03548i | ||||
\(967\) | −46.7737 | + | 27.0048i | −1.50414 | + | 0.868415i | −0.504151 | + | 0.863615i | \(0.668195\pi\) |
−0.999988 | + | 0.00479994i | \(0.998472\pi\) | |||||||
\(968\) | −3.71481 | + | 2.59057i | −0.119399 | + | 0.0832642i | ||||
\(969\) | −17.3409 | + | 14.3585i | −0.557069 | + | 0.461263i | ||||
\(970\) | −19.1757 | + | 20.2992i | −0.615696 | + | 0.651767i | ||||
\(971\) | 21.6802 | − | 21.6802i | 0.695752 | − | 0.695752i | −0.267739 | − | 0.963491i | \(-0.586277\pi\) |
0.963491 | + | 0.267739i | \(0.0862766\pi\) | |||||||
\(972\) | −12.4881 | + | 28.5665i | −0.400556 | + | 0.916272i | ||||
\(973\) | −27.3860 | − | 27.3860i | −0.877956 | − | 0.877956i | ||||
\(974\) | 1.36678 | + | 48.0255i | 0.0437944 | + | 1.53884i | ||||
\(975\) | −0.385865 | − | 0.466011i | −0.0123576 | − | 0.0149243i | ||||
\(976\) | −14.9727 | + | 5.90415i | −0.479265 | + | 0.188987i | ||||
\(977\) | 24.6985 | + | 42.7791i | 0.790175 | + | 1.36862i | 0.925858 | + | 0.377871i | \(0.123344\pi\) |
−0.135683 | + | 0.990752i | \(0.543323\pi\) | |||||||
\(978\) | −8.92664 | + | 7.82997i | −0.285442 | + | 0.250375i | ||||
\(979\) | −4.42527 | + | 1.18575i | −0.141432 | + | 0.0378967i | ||||
\(980\) | −3.59945 | − | 10.9090i | −0.114980 | − | 0.348477i | ||||
\(981\) | 25.6525 | + | 37.6747i | 0.819020 | + | 1.20286i | ||||
\(982\) | −44.6082 | − | 10.6024i | −1.42350 | − | 0.338335i | ||||
\(983\) | 33.4990 | + | 19.3407i | 1.06845 | + | 0.616871i | 0.927758 | − | 0.373182i | \(-0.121733\pi\) |
0.140694 | + | 0.990053i | \(0.455067\pi\) | |||||||
\(984\) | −22.7121 | − | 40.1176i | −0.724036 | − | 1.27890i | ||||
\(985\) | −47.0903 | + | 27.1876i | −1.50042 | + | 0.866268i | ||||
\(986\) | 1.30942 | − | 0.391105i | 0.0417003 | − | 0.0124553i | ||||
\(987\) | −1.43503 | − | 3.13072i | −0.0456776 | − | 0.0996520i | ||||
\(988\) | 18.6140 | − | 12.2087i | 0.592191 | − | 0.388410i | ||||
\(989\) | 32.8964 | + | 32.8964i | 1.04604 | + | 1.04604i | ||||
\(990\) | 5.46418 | − | 34.0412i | 0.173663 | − | 1.08190i | ||||
\(991\) | −18.5544 | −0.589400 | −0.294700 | − | 0.955590i | \(-0.595220\pi\) | ||||
−0.294700 | + | 0.955590i | \(0.595220\pi\) | |||||||
\(992\) | 25.1108 | + | 31.9665i | 0.797268 | + | 1.01494i | ||||
\(993\) | 1.88958 | − | 0.320459i | 0.0599641 | − | 0.0101695i | ||||
\(994\) | −9.98248 | + | 18.4855i | −0.316625 | + | 0.586323i | ||||
\(995\) | −1.70415 | + | 6.35996i | −0.0540251 | + | 0.201624i | ||||
\(996\) | 7.47868 | + | 32.6912i | 0.236971 | + | 1.03586i | ||||
\(997\) | −9.84662 | − | 36.7481i | −0.311846 | − | 1.16382i | −0.926890 | − | 0.375332i | \(-0.877529\pi\) |
0.615045 | − | 0.788492i | \(-0.289138\pi\) | |||||||
\(998\) | −4.79374 | + | 20.1691i | −0.151743 | + | 0.638442i | ||||
\(999\) | −9.21718 | − | 16.7134i | −0.291619 | − | 0.528788i |
(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 | 144.2.x.e.61.18 | yes | 72 | |
3.2 | odd | 2 | 432.2.y.e.397.1 | 72 | |||
4.3 | odd | 2 | 576.2.bb.e.529.8 | 72 | |||
9.4 | even | 3 | inner | 144.2.x.e.13.5 | ✓ | 72 | |
9.5 | odd | 6 | 432.2.y.e.253.14 | 72 | |||
12.11 | even | 2 | 1728.2.bc.e.721.15 | 72 | |||
16.5 | even | 4 | inner | 144.2.x.e.133.5 | yes | 72 | |
16.11 | odd | 4 | 576.2.bb.e.241.1 | 72 | |||
36.23 | even | 6 | 1728.2.bc.e.145.4 | 72 | |||
36.31 | odd | 6 | 576.2.bb.e.337.1 | 72 | |||
48.5 | odd | 4 | 432.2.y.e.181.14 | 72 | |||
48.11 | even | 4 | 1728.2.bc.e.1585.4 | 72 | |||
144.5 | odd | 12 | 432.2.y.e.37.1 | 72 | |||
144.59 | even | 12 | 1728.2.bc.e.1009.15 | 72 | |||
144.85 | even | 12 | inner | 144.2.x.e.85.18 | yes | 72 | |
144.139 | odd | 12 | 576.2.bb.e.49.8 | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.x.e.13.5 | ✓ | 72 | 9.4 | even | 3 | inner | |
144.2.x.e.61.18 | yes | 72 | 1.1 | even | 1 | trivial | |
144.2.x.e.85.18 | yes | 72 | 144.85 | even | 12 | inner | |
144.2.x.e.133.5 | yes | 72 | 16.5 | even | 4 | inner | |
432.2.y.e.37.1 | 72 | 144.5 | odd | 12 | |||
432.2.y.e.181.14 | 72 | 48.5 | odd | 4 | |||
432.2.y.e.253.14 | 72 | 9.5 | odd | 6 | |||
432.2.y.e.397.1 | 72 | 3.2 | odd | 2 | |||
576.2.bb.e.49.8 | 72 | 144.139 | odd | 12 | |||
576.2.bb.e.241.1 | 72 | 16.11 | odd | 4 | |||
576.2.bb.e.337.1 | 72 | 36.31 | odd | 6 | |||
576.2.bb.e.529.8 | 72 | 4.3 | odd | 2 | |||
1728.2.bc.e.145.4 | 72 | 36.23 | even | 6 | |||
1728.2.bc.e.721.15 | 72 | 12.11 | even | 2 | |||
1728.2.bc.e.1009.15 | 72 | 144.59 | even | 12 | |||
1728.2.bc.e.1585.4 | 72 | 48.11 | even | 4 |