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 | 13.5 | ||
Character | \(\chi\) | \(=\) | 144.13 |
Dual form | 144.2.x.e.133.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.671979 | + | 1.24436i | −0.475161 | + | 0.879899i | ||||
\(3\) | 1.72444 | − | 0.162237i | 0.995604 | − | 0.0936678i | ||||
\(4\) | −1.09689 | − | 1.67237i | −0.548444 | − | 0.836187i | ||||
\(5\) | 0.592492 | + | 2.21121i | 0.264971 | + | 0.988884i | 0.962268 | + | 0.272102i | \(0.0877189\pi\) |
−0.697298 | + | 0.716782i | \(0.745614\pi\) | |||||||
\(6\) | −0.956902 | + | 2.25485i | −0.390654 | + | 0.920538i | ||||
\(7\) | −2.67054 | + | 1.54184i | −1.00937 | + | 0.582760i | −0.911007 | − | 0.412391i | \(-0.864694\pi\) |
−0.0983627 | + | 0.995151i | \(0.531361\pi\) | |||||||
\(8\) | 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 | ||||
\(11\) | 3.42886 | + | 0.918760i | 1.03384 | + | 0.277017i | 0.735559 | − | 0.677461i | \(-0.236920\pi\) |
0.298282 | + | 0.954478i | \(0.403586\pi\) | |||||||
\(12\) | −2.16283 | − | 2.70595i | −0.624357 | − | 0.781139i | ||||
\(13\) | 1.40293 | − | 0.375914i | 0.389102 | − | 0.104260i | −0.0589636 | − | 0.998260i | \(-0.518780\pi\) |
0.448066 | + | 0.894000i | \(0.352113\pi\) | |||||||
\(14\) | −0.124061 | − | 4.35921i | −0.0331566 | − | 1.16505i | ||||
\(15\) | 1.38046 | + | 3.71697i | 0.356432 | + | 0.959717i | ||||
\(16\) | −1.59367 | + | 3.66882i | −0.398418 | + | 0.917204i | ||||
\(17\) | −1.69619 | −0.411387 | −0.205693 | − | 0.978617i | \(-0.565945\pi\) | ||||
−0.205693 | + | 0.978617i | \(0.565945\pi\) | |||||||
\(18\) | −1.28430 | + | 4.04359i | −0.302711 | + | 0.953082i | ||||
\(19\) | −5.41876 | − | 5.41876i | −1.24315 | − | 1.24315i | −0.958688 | − | 0.284460i | \(-0.908186\pi\) |
−0.284460 | − | 0.958688i | \(-0.591814\pi\) | |||||||
\(20\) | 3.04808 | − | 3.41632i | 0.681571 | − | 0.763913i | ||||
\(21\) | −4.35503 | + | 3.09206i | −0.950346 | + | 0.674743i | ||||
\(22\) | −3.44740 | + | 3.64937i | −0.734987 | + | 0.778047i | ||||
\(23\) | −3.69781 | − | 2.13493i | −0.771047 | − | 0.445164i | 0.0622012 | − | 0.998064i | \(-0.480188\pi\) |
−0.833248 | + | 0.552900i | \(0.813521\pi\) | |||||||
\(24\) | 4.82056 | − | 0.873016i | 0.983994 | − | 0.178204i | ||||
\(25\) | −0.208283 | + | 0.120252i | −0.0416566 | + | 0.0240504i | ||||
\(26\) | −0.474965 | + | 1.99836i | −0.0931483 | + | 0.391911i | ||||
\(27\) | 4.99175 | − | 1.44306i | 0.960663 | − | 0.277716i | ||||
\(28\) | 5.50781 | + | 2.77492i | 1.04088 | + | 0.524411i | ||||
\(29\) | 0.147449 | − | 0.550286i | 0.0273805 | − | 0.102185i | −0.950883 | − | 0.309549i | \(-0.899822\pi\) |
0.978264 | + | 0.207364i | \(0.0664884\pi\) | |||||||
\(30\) | −5.55290 | − | 0.779934i | −1.01382 | − | 0.142396i | ||||
\(31\) | 3.59297 | − | 6.22321i | 0.645317 | − | 1.11772i | −0.338911 | − | 0.940818i | \(-0.610059\pi\) |
0.984228 | − | 0.176903i | \(-0.0566079\pi\) | |||||||
\(32\) | −3.49443 | − | 4.44848i | −0.617734 | − | 0.786387i | ||||
\(33\) | 6.06191 | + | 1.02805i | 1.05524 | + | 0.178961i | ||||
\(34\) | 1.13980 | − | 2.11068i | 0.195475 | − | 0.361979i | ||||
\(35\) | −4.99161 | − | 4.99161i | −0.843735 | − | 0.843735i | ||||
\(36\) | −4.16868 | − | 4.31534i | −0.694779 | − | 0.719223i | ||||
\(37\) | 2.59734 | − | 2.59734i | 0.427000 | − | 0.427000i | −0.460605 | − | 0.887605i | \(-0.652367\pi\) |
0.887605 | + | 0.460605i | \(0.152367\pi\) | |||||||
\(38\) | 10.3842 | − | 3.10162i | 1.68454 | − | 0.503149i | ||||
\(39\) | 2.35827 | − | 0.875847i | 0.377626 | − | 0.140248i | ||||
\(40\) | 2.20291 | + | 6.08862i | 0.348310 | + | 0.962695i | ||||
\(41\) | 8.14951 | + | 4.70512i | 1.27274 | + | 0.734817i | 0.975503 | − | 0.219987i | \(-0.0706014\pi\) |
0.297237 | + | 0.954804i | \(0.403935\pi\) | |||||||
\(42\) | −0.921162 | − | 7.49705i | −0.142138 | − | 1.15682i | ||||
\(43\) | −10.5243 | − | 2.81997i | −1.60494 | − | 0.430042i | −0.658410 | − | 0.752660i | \(-0.728770\pi\) |
−0.946529 | + | 0.322618i | \(0.895437\pi\) | |||||||
\(44\) | −2.22456 | − | 6.74212i | −0.335366 | − | 1.01641i | ||||
\(45\) | 2.98354 | + | 6.18571i | 0.444760 | + | 0.922111i | ||||
\(46\) | 5.14148 | − | 3.16680i | 0.758071 | − | 0.466918i | ||||
\(47\) | −0.322401 | − | 0.558415i | −0.0470270 | − | 0.0814532i | 0.841554 | − | 0.540173i | \(-0.181641\pi\) |
−0.888581 | + | 0.458720i | \(0.848308\pi\) | |||||||
\(48\) | −2.15297 | + | 6.58519i | −0.310754 | + | 0.950490i | ||||
\(49\) | 1.25453 | − | 2.17290i | 0.179218 | − | 0.310415i | ||||
\(50\) | −0.00967583 | − | 0.339987i | −0.00136837 | − | 0.0480814i | ||||
\(51\) | −2.92497 | + | 0.275186i | −0.409578 | + | 0.0385337i | ||||
\(52\) | −2.16752 | − | 1.93389i | −0.300582 | − | 0.268182i | ||||
\(53\) | −7.59951 | + | 7.59951i | −1.04387 | + | 1.04387i | −0.0448800 | + | 0.998992i | \(0.514291\pi\) |
−0.998992 | + | 0.0448800i | \(0.985709\pi\) | |||||||
\(54\) | −1.55866 | + | 7.18126i | −0.212107 | + | 0.977246i | ||||
\(55\) | 8.12630i | 1.09575i | ||||||||
\(56\) | −7.15415 | + | 4.98904i | −0.956014 | + | 0.666689i | ||||
\(57\) | −10.2234 | − | 8.46517i | −1.35413 | − | 1.12124i | ||||
\(58\) | 0.585674 | + | 0.553260i | 0.0769027 | + | 0.0726467i | ||||
\(59\) | −1.55953 | − | 5.82026i | −0.203034 | − | 0.757733i | −0.990040 | − | 0.140788i | \(-0.955037\pi\) |
0.787006 | − | 0.616946i | \(-0.211630\pi\) | |||||||
\(60\) | 4.70196 | − | 6.38574i | 0.607020 | − | 0.824395i | ||||
\(61\) | 1.04141 | − | 3.88659i | 0.133339 | − | 0.497627i | −0.866661 | − | 0.498898i | \(-0.833738\pi\) |
0.999999 | + | 0.00127169i | \(0.000404792\pi\) | |||||||
\(62\) | 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 | ||||
\(66\) | −5.35275 | + | 6.85239i | −0.658878 | + | 0.843471i | ||||
\(67\) | 4.02086 | − | 1.07739i | 0.491226 | − | 0.131624i | −0.00469890 | − | 0.999989i | \(-0.501496\pi\) |
0.495925 | + | 0.868365i | \(0.334829\pi\) | |||||||
\(68\) | 1.86053 | + | 2.83667i | 0.225623 | + | 0.343996i | ||||
\(69\) | −6.72300 | − | 3.08163i | −0.809354 | − | 0.370985i | ||||
\(70\) | 9.56563 | − | 2.85712i | 1.14331 | − | 0.341492i | ||||
\(71\) | 4.81741i | 0.571722i | 0.958271 | + | 0.285861i | \(0.0922795\pi\) | ||||
−0.958271 | + | 0.285861i | \(0.907720\pi\) | |||||||
\(72\) | 8.17112 | − | 2.28754i | 0.962976 | − | 0.269589i | ||||
\(73\) | − | 0.0254428i | − | 0.00297785i | −0.999999 | − | 0.00148893i | \(-0.999526\pi\) | ||
0.999999 | − | 0.00148893i | \(-0.000473940\pi\) | |||||||
\(74\) | 1.48668 | + | 4.97740i | 0.172823 | + | 0.578611i | ||||
\(75\) | −0.339661 | + | 0.241158i | −0.0392207 | + | 0.0278466i | ||||
\(76\) | −3.11842 | + | 15.0060i | −0.357707 | + | 1.72130i | ||||
\(77\) | −10.5735 | + | 2.83316i | −1.20496 | + | 0.322868i | ||||
\(78\) | −0.494838 | + | 3.52310i | −0.0560294 | + | 0.398913i | ||||
\(79\) | 7.90903 | + | 13.6988i | 0.889835 | + | 1.54124i | 0.840069 | + | 0.542479i | \(0.182514\pi\) |
0.0497661 | + | 0.998761i | \(0.484152\pi\) | |||||||
\(80\) | −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 | ||||
\(83\) | −2.50561 | + | 9.35105i | −0.275026 | + | 1.02641i | 0.680798 | + | 0.732471i | \(0.261633\pi\) |
−0.955824 | + | 0.293940i | \(0.905033\pi\) | |||||||
\(84\) | 9.94807 | + | 3.89160i | 1.08542 | + | 0.424608i | ||||
\(85\) | −1.00498 | − | 3.75064i | −0.109005 | − | 0.406814i | ||||
\(86\) | 10.5812 | − | 11.2011i | 1.14100 | − | 1.20784i | ||||
\(87\) | 0.164989 | − | 0.972854i | 0.0176886 | − | 0.104301i | ||||
\(88\) | 9.88451 | + | 1.76239i | 1.05369 | + | 0.187872i | ||||
\(89\) | − | 1.29060i | − | 0.136803i | −0.997658 | − | 0.0684014i | \(-0.978210\pi\) | ||
0.997658 | − | 0.0684014i | \(-0.0217899\pi\) | |||||||
\(90\) | −9.70216 | − | 0.444057i | −1.02270 | − | 0.0468077i | ||||
\(91\) | −3.16698 | + | 3.16698i | −0.331990 | + | 0.331990i | ||||
\(92\) | 0.485678 | + | 8.52590i | 0.0506354 | + | 0.888887i | ||||
\(93\) | 5.18621 | − | 11.3144i | 0.537785 | − | 1.17325i | ||||
\(94\) | 0.911519 | − | 0.0259413i | 0.0940160 | − | 0.00267564i | ||||
\(95\) | 8.77145 | − | 15.1926i | 0.899931 | − | 1.55873i | ||||
\(96\) | −6.74763 | − | 7.10419i | −0.688677 | − | 0.725068i | ||||
\(97\) | 4.31271 | + | 7.46984i | 0.437890 | + | 0.758447i | 0.997527 | − | 0.0702907i | \(-0.0223927\pi\) |
−0.559637 | + | 0.828738i | \(0.689059\pi\) | |||||||
\(98\) | 1.86087 | + | 3.02124i | 0.187976 | + | 0.305191i | ||||
\(99\) | 10.6202 | + | 0.789344i | 1.06737 | + | 0.0793321i | ||||
\(100\) | 0.429570 | + | 0.216424i | 0.0429570 | + | 0.0216424i | ||||
\(101\) | −12.3287 | − | 3.30347i | −1.22675 | − | 0.328708i | −0.413440 | − | 0.910532i | \(-0.635673\pi\) |
−0.813315 | + | 0.581824i | \(0.802339\pi\) | |||||||
\(102\) | 1.62309 | − | 3.82465i | 0.160710 | − | 0.378697i | ||||
\(103\) | −0.777714 | − | 0.449013i | −0.0766304 | − | 0.0442426i | 0.461195 | − | 0.887299i | \(-0.347421\pi\) |
−0.537826 | + | 0.843056i | \(0.680754\pi\) | |||||||
\(104\) | 3.86299 | − | 1.39766i | 0.378798 | − | 0.137052i | ||||
\(105\) | −9.41753 | − | 7.79788i | −0.919057 | − | 0.760995i | ||||
\(106\) | −4.34985 | − | 14.5633i | −0.422495 | − | 1.41451i | ||||
\(107\) | −3.43615 | + | 3.43615i | −0.332185 | + | 0.332185i | −0.853416 | − | 0.521230i | \(-0.825473\pi\) |
0.521230 | + | 0.853416i | \(0.325473\pi\) | |||||||
\(108\) | −7.88872 | − | 6.76521i | −0.759093 | − | 0.650982i | ||||
\(109\) | −10.7430 | − | 10.7430i | −1.02900 | − | 1.02900i | −0.999567 | − | 0.0294299i | \(-0.990631\pi\) |
−0.0294299 | − | 0.999567i | \(-0.509369\pi\) | |||||||
\(110\) | −10.1121 | − | 5.46070i | −0.964149 | − | 0.520657i | ||||
\(111\) | 4.05756 | − | 4.90034i | 0.385127 | − | 0.465119i | ||||
\(112\) | −1.40075 | − | 12.2549i | −0.132358 | − | 1.15798i | ||||
\(113\) | −6.90863 | + | 11.9661i | −0.649910 | + | 1.12568i | 0.333234 | + | 0.942844i | \(0.391860\pi\) |
−0.983144 | + | 0.182833i | \(0.941473\pi\) | |||||||
\(114\) | 17.4037 | − | 7.03325i | 1.63000 | − | 0.658724i | ||||
\(115\) | 2.52986 | − | 9.44157i | 0.235911 | − | 0.880431i | ||||
\(116\) | −1.08202 | + | 0.357013i | −0.100463 | + | 0.0331478i | ||||
\(117\) | 3.92460 | − | 1.89294i | 0.362829 | − | 0.175002i | ||||
\(118\) | 8.29050 | + | 1.97046i | 0.763202 | + | 0.181396i | ||||
\(119\) | 4.52975 | − | 2.61525i | 0.415241 | − | 0.239740i | ||||
\(120\) | 4.78657 | + | 10.1420i | 0.436952 | + | 0.925837i | ||||
\(121\) | 1.38669 | + | 0.800604i | 0.126062 | + | 0.0727821i | ||||
\(122\) | 4.13653 | + | 3.90760i | 0.374504 | + | 0.353777i | ||||
\(123\) | 14.8167 | + | 6.79153i | 1.33597 | + | 0.612371i | ||||
\(124\) | −14.3486 | + | 0.817369i | −1.28854 | + | 0.0734019i | ||||
\(125\) | 7.70429 | + | 7.70429i | 0.689092 | + | 0.689092i | ||||
\(126\) | −2.80479 | − | 12.7787i | −0.249870 | − | 1.13842i | ||||
\(127\) | −11.0753 | −0.982777 | −0.491389 | − | 0.870940i | \(-0.663511\pi\) | ||||
−0.491389 | + | 0.870940i | \(0.663511\pi\) | |||||||
\(128\) | −3.60652 | + | 10.7235i | −0.318775 | + | 0.947830i | ||||
\(129\) | −18.6060 | − | 3.15543i | −1.63816 | − | 0.277820i | ||||
\(130\) | −4.70021 | + | 0.133765i | −0.412236 | + | 0.0117320i | ||||
\(131\) | −1.53202 | + | 0.410504i | −0.133854 | + | 0.0358659i | −0.325124 | − | 0.945671i | \(-0.605406\pi\) |
0.191270 | + | 0.981537i | \(0.438739\pi\) | |||||||
\(132\) | −4.92994 | − | 11.2654i | −0.429096 | − | 0.980531i | ||||
\(133\) | 22.8259 | + | 6.11617i | 1.97925 | + | 0.530339i | ||||
\(134\) | −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 | \(-0.446707\pi\) |
0.937238 | + | 0.348691i | \(0.113374\pi\) | |||||||
\(138\) | 8.35239 | − | 6.29508i | 0.711002 | − | 0.535873i | ||||
\(139\) | 3.25066 | + | 12.1316i | 0.275717 | + | 1.02899i | 0.955359 | + | 0.295447i | \(0.0954687\pi\) |
−0.679642 | + | 0.733544i | \(0.737865\pi\) | |||||||
\(140\) | −2.87260 | + | 13.8231i | −0.242779 | + | 1.16826i | ||||
\(141\) | −0.646556 | − | 0.910645i | −0.0544498 | − | 0.0766902i | ||||
\(142\) | −5.99462 | − | 3.23720i | −0.503057 | − | 0.271660i | ||||
\(143\) | 5.15582 | 0.431151 | ||||||||
\(144\) | −2.64429 | + | 11.7050i | −0.220358 | + | 0.975419i | ||||
\(145\) | 1.30416 | 0.108305 | ||||||||
\(146\) | 0.0316601 | + | 0.0170970i | 0.00262021 | + | 0.00141496i | ||||
\(147\) | 1.81083 | − | 3.95057i | 0.149354 | − | 0.325837i | ||||
\(148\) | −7.19272 | − | 1.49474i | −0.591238 | − | 0.122866i | ||||
\(149\) | −4.00304 | − | 14.9396i | −0.327942 | − | 1.22390i | −0.911321 | − | 0.411696i | \(-0.864936\pi\) |
0.583379 | − | 0.812200i | \(-0.301730\pi\) | |||||||
\(150\) | −0.0718439 | − | 0.584716i | −0.00586603 | − | 0.0477418i | ||||
\(151\) | 1.44969 | − | 0.836978i | 0.117974 | − | 0.0681123i | −0.439852 | − | 0.898070i | \(-0.644969\pi\) |
0.557826 | + | 0.829958i | \(0.311636\pi\) | |||||||
\(152\) | −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 | ||||
\(155\) | 15.8896 | + | 4.25762i | 1.27629 | + | 0.341980i | ||||
\(156\) | −4.05151 | − | 2.98321i | −0.324380 | − | 0.238848i | ||||
\(157\) | 4.79137 | − | 1.28384i | 0.382393 | − | 0.102462i | −0.0625016 | − | 0.998045i | \(-0.519908\pi\) |
0.444894 | + | 0.895583i | \(0.353241\pi\) | |||||||
\(158\) | −22.3611 | + | 0.636383i | −1.77895 | + | 0.0506279i | ||||
\(159\) | −11.8719 | + | 14.3378i | −0.941506 | + | 1.13706i | ||||
\(160\) | 7.76610 | − | 10.3626i | 0.613965 | − | 0.819236i | ||||
\(161\) | 13.1669 | 1.03769 | ||||||||
\(162\) | −1.52275 | + | 12.6365i | −0.119638 | + | 0.992818i | ||||
\(163\) | 3.42775 | + | 3.42775i | 0.268482 | + | 0.268482i | 0.828488 | − | 0.560006i | \(-0.189201\pi\) |
−0.560006 | + | 0.828488i | \(0.689201\pi\) | |||||||
\(164\) | −1.07037 | − | 18.7900i | −0.0835822 | − | 1.46726i | ||||
\(165\) | 1.31839 | + | 14.0133i | 0.102636 | + | 1.09093i | ||||
\(166\) | −9.95240 | − | 9.40160i | −0.772456 | − | 0.729706i | ||||
\(167\) | 7.20275 | + | 4.15851i | 0.557366 | + | 0.321795i | 0.752088 | − | 0.659063i | \(-0.229047\pi\) |
−0.194722 | + | 0.980859i | \(0.562380\pi\) | |||||||
\(168\) | −11.5275 | + | 9.76395i | −0.889363 | + | 0.753305i | ||||
\(169\) | −9.43143 | + | 5.44524i | −0.725495 | + | 0.418865i | ||||
\(170\) | 5.34249 | + | 1.26979i | 0.409750 | + | 0.0973883i | ||||
\(171\) | −19.0030 | − | 12.9390i | −1.45320 | − | 0.989472i | ||||
\(172\) | 6.82791 | + | 20.6937i | 0.520623 | + | 1.57788i | ||||
\(173\) | 0.147025 | − | 0.548704i | 0.0111781 | − | 0.0417172i | −0.960112 | − | 0.279617i | \(-0.909792\pi\) |
0.971290 | + | 0.237900i | \(0.0764591\pi\) | |||||||
\(174\) | 1.09972 | + | 0.859044i | 0.0833693 | + | 0.0651239i | ||||
\(175\) | 0.370819 | − | 0.642277i | 0.0280312 | − | 0.0485515i | ||||
\(176\) | −8.83525 | + | 11.1157i | −0.665982 | + | 0.837874i | ||||
\(177\) | −3.63358 | − | 9.78365i | −0.273117 | − | 0.735384i | ||||
\(178\) | 1.60597 | + | 0.867253i | 0.120373 | + | 0.0650034i | ||||
\(179\) | 0.445920 | + | 0.445920i | 0.0333297 | + | 0.0333297i | 0.723575 | − | 0.690246i | \(-0.242497\pi\) |
−0.690246 | + | 0.723575i | \(0.742497\pi\) | |||||||
\(180\) | 7.07222 | − | 11.7746i | 0.527132 | − | 0.877629i | ||||
\(181\) | 9.08467 | − | 9.08467i | 0.675258 | − | 0.675258i | −0.283665 | − | 0.958923i | \(-0.591551\pi\) |
0.958923 | + | 0.283665i | \(0.0915505\pi\) | |||||||
\(182\) | −1.81273 | − | 6.06903i | −0.134369 | − | 0.449866i | ||||
\(183\) | 1.16529 | − | 6.87113i | 0.0861408 | − | 0.507928i | ||||
\(184\) | −10.9357 | − | 5.12487i | −0.806191 | − | 0.377810i | ||||
\(185\) | 7.28218 | + | 4.20437i | 0.535396 | + | 0.309111i | ||||
\(186\) | 10.5943 | + | 14.0566i | 0.776809 | + | 1.03068i | ||||
\(187\) | −5.81600 | − | 1.55839i | −0.425308 | − | 0.113961i | ||||
\(188\) | −0.580241 | + | 1.15169i | −0.0423184 | + | 0.0839959i | ||||
\(189\) | −11.1057 | + | 11.5502i | −0.807822 | + | 0.840154i | ||||
\(190\) | 13.0109 | + | 21.1240i | 0.943910 | + | 1.53249i | ||||
\(191\) | −6.96468 | − | 12.0632i | −0.503946 | − | 0.872861i | −0.999990 | − | 0.00456281i | \(-0.998548\pi\) |
0.496043 | − | 0.868298i | \(-0.334786\pi\) | |||||||
\(192\) | 13.3745 | − | 3.62265i | 0.965219 | − | 0.261442i | ||||
\(193\) | −0.664728 | + | 1.15134i | −0.0478482 | + | 0.0828754i | −0.888958 | − | 0.457990i | \(-0.848570\pi\) |
0.841109 | + | 0.540865i | \(0.181903\pi\) | |||||||
\(194\) | −12.1933 | + | 0.347013i | −0.875425 | + | 0.0249141i | ||||
\(195\) | 3.33394 | + | 4.69571i | 0.238748 | + | 0.336267i | ||||
\(196\) | −5.00999 | + | 0.285394i | −0.357856 | + | 0.0203853i | ||||
\(197\) | 16.7957 | − | 16.7957i | 1.19665 | − | 1.19665i | 0.221482 | − | 0.975164i | \(-0.428911\pi\) |
0.975164 | − | 0.221482i | \(-0.0710894\pi\) | |||||||
\(198\) | −8.11876 | + | 12.6849i | −0.576975 | + | 0.901479i | ||||
\(199\) | − | 2.87623i | − | 0.203891i | −0.994790 | − | 0.101945i | \(-0.967493\pi\) | ||
0.994790 | − | 0.101945i | \(-0.0325067\pi\) | |||||||
\(200\) | −0.557972 | + | 0.389109i | −0.0394546 | + | 0.0275142i | ||||
\(201\) | 6.75892 | − | 2.51022i | 0.476738 | − | 0.177057i | ||||
\(202\) | 12.3954 | − | 13.1216i | 0.872136 | − | 0.923231i | ||||
\(203\) | 0.454684 | + | 1.69690i | 0.0319125 | + | 0.119099i | ||||
\(204\) | 3.66858 | + | 4.58980i | 0.256852 | + | 0.321350i | ||||
\(205\) | −5.57550 | + | 20.8080i | −0.389410 | + | 1.45330i | ||||
\(206\) | 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 | ||||
\(210\) | 16.0318 | − | 6.47883i | 1.10630 | − | 0.447082i | ||||
\(211\) | −2.97629 | + | 0.797494i | −0.204896 | + | 0.0549017i | −0.359807 | − | 0.933027i | \(-0.617158\pi\) |
0.154911 | + | 0.987928i | \(0.450491\pi\) | |||||||
\(212\) | 21.0450 | + | 4.37341i | 1.44538 | + | 0.300367i | ||||
\(213\) | 0.781565 | + | 8.30732i | 0.0535520 | + | 0.569208i | ||||
\(214\) | −1.96681 | − | 6.58485i | −0.134448 | − | 0.450131i | ||||
\(215\) | − | 24.9422i | − | 1.70105i | ||||||
\(216\) | 13.7194 | − | 5.27037i | 0.933490 | − | 0.358603i | ||||
\(217\) | 22.1591i | 1.50426i | ||||||||
\(218\) | 20.5874 | − | 6.14916i | 1.39435 | − | 0.416474i | ||||
\(219\) | −0.00412777 | − | 0.0438745i | −0.000278929 | − | 0.00296476i | ||||
\(220\) | 13.5902 | − | 8.91364i | 0.916252 | − | 0.600957i | ||||
\(221\) | −2.37963 | + | 0.637621i | −0.160072 | + | 0.0428910i | ||||
\(222\) | 3.37121 | + | 8.34201i | 0.226261 | + | 0.559879i | ||||
\(223\) | 5.89459 | + | 10.2097i | 0.394731 | + | 0.683694i | 0.993067 | − | 0.117552i | \(-0.0375046\pi\) |
−0.598336 | + | 0.801245i | \(0.704171\pi\) | |||||||
\(224\) | 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 | ||||
\(227\) | −6.87589 | + | 25.6612i | −0.456369 | + | 1.70319i | 0.227664 | + | 0.973740i | \(0.426891\pi\) |
−0.684033 | + | 0.729451i | \(0.739775\pi\) | |||||||
\(228\) | −2.94299 | + | 26.3827i | −0.194904 | + | 1.74724i | ||||
\(229\) | 4.40749 | + | 16.4490i | 0.291255 | + | 1.08698i | 0.944146 | + | 0.329526i | \(0.106889\pi\) |
−0.652891 | + | 0.757451i | \(0.726444\pi\) | |||||||
\(230\) | 10.0487 | + | 9.49261i | 0.662595 | + | 0.625924i | ||||
\(231\) | −17.7737 | + | 6.60102i | −1.16942 | + | 0.434315i | ||||
\(232\) | 0.282840 | − | 1.58633i | 0.0185694 | − | 0.104148i | ||||
\(233\) | 2.20632i | 0.144541i | 0.997385 | + | 0.0722703i | \(0.0230244\pi\) | ||||
−0.997385 | + | 0.0722703i | \(0.976976\pi\) | |||||||
\(234\) | −0.281737 | + | 6.15565i | −0.0184177 | + | 0.402407i | ||||
\(235\) | 1.04375 | − | 1.04375i | 0.0680870 | − | 0.0680870i | ||||
\(236\) | −8.02302 | + | 8.99230i | −0.522254 | + | 0.585349i | ||||
\(237\) | 15.8611 | + | 22.3396i | 1.03029 | + | 1.45112i | ||||
\(238\) | 0.210431 | + | 7.39405i | 0.0136402 | + | 0.479285i | ||||
\(239\) | 4.25004 | − | 7.36128i | 0.274912 | − | 0.476161i | −0.695201 | − | 0.718815i | \(-0.744685\pi\) |
0.970113 | + | 0.242654i | \(0.0780180\pi\) | |||||||
\(240\) | −15.8369 | − | 0.858994i | −1.02227 | − | 0.0554478i | ||||
\(241\) | −9.09368 | − | 15.7507i | −0.585775 | − | 1.01459i | −0.994778 | − | 0.102060i | \(-0.967457\pi\) |
0.409003 | − | 0.912533i | \(-0.365877\pi\) | |||||||
\(242\) | −1.92807 | + | 1.18755i | −0.123941 | + | 0.0763389i | ||||
\(243\) | 13.9050 | − | 7.04627i | 0.892009 | − | 0.452018i | ||||
\(244\) | −7.64214 | + | 2.52153i | −0.489238 | + | 0.161424i | ||||
\(245\) | 5.54805 | + | 1.48660i | 0.354452 | + | 0.0949751i | ||||
\(246\) | −18.4076 | + | 13.8736i | −1.17363 | + | 0.884546i | ||||
\(247\) | −9.63911 | − | 5.56514i | −0.613322 | − | 0.354102i | ||||
\(248\) | 8.62487 | − | 18.4042i | 0.547680 | − | 1.16867i | ||||
\(249\) | −2.80367 | + | 16.5318i | −0.177675 | + | 1.04766i | ||||
\(250\) | −14.7641 | + | 4.40982i | −0.933762 | + | 0.278902i | ||||
\(251\) | 4.42291 | − | 4.42291i | 0.279171 | − | 0.279171i | −0.553607 | − | 0.832778i | \(-0.686749\pi\) |
0.832778 | + | 0.553607i | \(0.186749\pi\) | |||||||
\(252\) | 17.7862 | + | 5.09687i | 1.12042 | + | 0.321072i | ||||
\(253\) | −10.7178 | − | 10.7178i | −0.673821 | − | 0.673821i | ||||
\(254\) | 7.44240 | − | 13.7818i | 0.466977 | − | 0.864745i | ||||
\(255\) | −2.34152 | − | 6.30469i | −0.146631 | − | 0.394815i | ||||
\(256\) | −10.9204 | − | 11.6938i | −0.682526 | − | 0.730862i | ||||
\(257\) | 0.433089 | − | 0.750132i | 0.0270153 | − | 0.0467920i | −0.852202 | − | 0.523213i | \(-0.824733\pi\) |
0.879217 | + | 0.476422i | \(0.158066\pi\) | |||||||
\(258\) | 16.4293 | − | 21.0322i | 1.02285 | − | 1.30941i | ||||
\(259\) | −2.93163 | + | 10.9410i | −0.182163 | + | 0.679840i | ||||
\(260\) | 2.99199 | − | 5.93867i | 0.185555 | − | 0.368301i | ||||
\(261\) | 0.126679 | − | 1.70439i | 0.00784124 | − | 0.105499i | ||||
\(262\) | 0.518671 | − | 2.18225i | 0.0320436 | − | 0.134820i | ||||
\(263\) | −7.59086 | + | 4.38259i | −0.468073 | + | 0.270242i | −0.715433 | − | 0.698682i | \(-0.753770\pi\) |
0.247360 | + | 0.968924i | \(0.420437\pi\) | |||||||
\(264\) | 17.3311 | + | 1.43549i | 1.06666 | + | 0.0883485i | ||||
\(265\) | −21.3068 | − | 12.3015i | −1.30886 | − | 0.755673i | ||||
\(266\) | −22.9492 | + | 24.2938i | −1.40711 | + | 1.48955i | ||||
\(267\) | −0.209383 | − | 2.22555i | −0.0128140 | − | 0.136201i | ||||
\(268\) | −6.21223 | − | 5.54261i | −0.379472 | − | 0.338569i | ||||
\(269\) | −6.48858 | − | 6.48858i | −0.395616 | − | 0.395616i | 0.481068 | − | 0.876683i | \(-0.340249\pi\) |
−0.876683 | + | 0.481068i | \(0.840249\pi\) | |||||||
\(270\) | −16.8028 | + | 0.808306i | −1.02259 | + | 0.0491920i | ||||
\(271\) | 27.4975 | 1.67035 | 0.835177 | − | 0.549981i | \(-0.185365\pi\) | ||||
0.835177 | + | 0.549981i | \(0.185365\pi\) | |||||||
\(272\) | 2.70317 | − | 6.22301i | 0.163904 | − | 0.377325i | ||||
\(273\) | −4.94745 | + | 5.97506i | −0.299433 | + | 0.361627i | ||||
\(274\) | 0.600229 | + | 21.0907i | 0.0362612 | + | 1.27414i | ||||
\(275\) | −0.824656 | + | 0.220966i | −0.0497286 | + | 0.0133247i | ||||
\(276\) | 2.22074 | + | 14.6236i | 0.133673 | + | 0.880236i | ||||
\(277\) | −19.6716 | − | 5.27098i | −1.18195 | − | 0.316703i | −0.386251 | − | 0.922394i | \(-0.626230\pi\) |
−0.795700 | + | 0.605691i | \(0.792897\pi\) | |||||||
\(278\) | −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 | \(-0.809941\pi\) |
0.0734227 | + | 0.997301i | \(0.476608\pi\) | |||||||
\(282\) | 1.56765 | − | 0.192617i | 0.0933520 | − | 0.0114702i | ||||
\(283\) | −1.32692 | − | 4.95213i | −0.0788772 | − | 0.294374i | 0.915207 | − | 0.402983i | \(-0.132027\pi\) |
−0.994084 | + | 0.108610i | \(0.965360\pi\) | |||||||
\(284\) | 8.05652 | − | 5.28416i | 0.478067 | − | 0.313557i | ||||
\(285\) | 12.6610 | − | 27.6217i | 0.749972 | − | 1.63617i | ||||
\(286\) | −3.46460 | + | 6.41572i | −0.204866 | + | 0.379370i | ||||
\(287\) | −29.0182 | −1.71289 | ||||||||
\(288\) | −12.7884 | − | 11.1560i | −0.753565 | − | 0.657374i | ||||
\(289\) | −14.1229 | −0.830761 | ||||||||
\(290\) | −0.876369 | + | 1.62285i | −0.0514621 | + | 0.0952971i | ||||
\(291\) | 8.64889 | + | 12.1816i | 0.507007 | + | 0.714097i | ||||
\(292\) | −0.0425499 | + | 0.0279079i | −0.00249004 | + | 0.00163319i | ||||
\(293\) | 2.63992 | + | 9.85233i | 0.154226 | + | 0.575579i | 0.999170 | + | 0.0407250i | \(0.0129668\pi\) |
−0.844944 | + | 0.534854i | \(0.820367\pi\) | |||||||
\(294\) | 3.69911 | + | 4.90803i | 0.215736 | + | 0.286242i | ||||
\(295\) | 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 | ||||
\(299\) | −5.99031 | − | 1.60510i | −0.346429 | − | 0.0928253i | ||||
\(300\) | 0.775877 | + | 0.303517i | 0.0447953 | + | 0.0175235i | ||||
\(301\) | 32.4535 | − | 8.69589i | 1.87059 | − | 0.501223i | ||||
\(302\) | 0.0673456 | + | 2.36637i | 0.00387531 | + | 0.136169i | ||||
\(303\) | −21.7961 | − | 3.69645i | −1.25215 | − | 0.212355i | ||||
\(304\) | 28.5161 | − | 11.2447i | 1.63551 | − | 0.644927i | ||||
\(305\) | 9.21109 | 0.527426 | ||||||||
\(306\) | 2.17841 | − | 6.85869i | 0.124531 | − | 0.392085i | ||||
\(307\) | −13.8230 | − | 13.8230i | −0.788919 | − | 0.788919i | 0.192398 | − | 0.981317i | \(-0.438374\pi\) |
−0.981317 | + | 0.192398i | \(0.938374\pi\) | |||||||
\(308\) | 16.3360 | + | 14.5752i | 0.930832 | + | 0.830498i | ||||
\(309\) | −1.41396 | − | 0.648120i | −0.0804376 | − | 0.0368703i | ||||
\(310\) | −15.9755 | + | 16.9115i | −0.907350 | + | 0.960508i | ||||
\(311\) | 2.07629 | + | 1.19875i | 0.117736 | + | 0.0679747i | 0.557711 | − | 0.830035i | \(-0.311680\pi\) |
−0.439976 | + | 0.898010i | \(0.645013\pi\) | |||||||
\(312\) | 6.43473 | − | 3.03690i | 0.364295 | − | 0.171930i | ||||
\(313\) | 11.1437 | − | 6.43381i | 0.629878 | − | 0.363660i | −0.150827 | − | 0.988560i | \(-0.548194\pi\) |
0.780705 | + | 0.624900i | \(0.214860\pi\) | |||||||
\(314\) | −1.62213 | + | 6.82493i | −0.0915421 | + | 0.385153i | ||||
\(315\) | −17.5050 | − | 11.9191i | −0.986297 | − | 0.671563i | ||||
\(316\) | 14.2343 | − | 28.2530i | 0.800740 | − | 1.58935i | ||||
\(317\) | −1.63764 | + | 6.11177i | −0.0919792 | + | 0.343271i | −0.996544 | − | 0.0830647i | \(-0.973529\pi\) |
0.904565 | + | 0.426336i | \(0.140196\pi\) | |||||||
\(318\) | −9.86374 | − | 24.4077i | −0.553131 | − | 1.36872i | ||||
\(319\) | 1.01116 | − | 1.75138i | 0.0566142 | − | 0.0980586i | ||||
\(320\) | 7.67621 | + | 16.6273i | 0.429113 | + | 0.929496i | ||||
\(321\) | −5.36795 | + | 6.48290i | −0.299610 | + | 0.361840i | ||||
\(322\) | −8.84786 | + | 16.3844i | −0.493072 | + | 0.913067i | ||||
\(323\) | 9.19124 | + | 9.19124i | 0.511414 | + | 0.511414i | ||||
\(324\) | −14.7012 | − | 10.3863i | −0.816732 | − | 0.577018i | ||||
\(325\) | −0.247002 | + | 0.247002i | −0.0137012 | + | 0.0137012i | ||||
\(326\) | −6.56874 | + | 1.96199i | −0.363809 | + | 0.108665i | ||||
\(327\) | −20.2686 | − | 16.7828i | −1.12086 | − | 0.928089i | ||||
\(328\) | 24.1009 | + | 11.2946i | 1.33075 | + | 0.623639i | ||||
\(329\) | 1.72197 | + | 0.994180i | 0.0949353 | + | 0.0548109i | ||||
\(330\) | −18.3236 | − | 7.77607i | −1.00868 | − | 0.428059i | ||||
\(331\) | 1.06882 | + | 0.286391i | 0.0587479 | + | 0.0157415i | 0.288073 | − | 0.957608i | \(-0.406985\pi\) |
−0.229325 | + | 0.973350i | \(0.573652\pi\) | |||||||
\(332\) | 18.3868 | − | 6.06674i | 1.00911 | − | 0.332956i | ||||
\(333\) | 6.20199 | − | 9.10860i | 0.339867 | − | 0.499148i | ||||
\(334\) | −10.0148 | + | 6.16842i | −0.547986 | + | 0.337521i | ||||
\(335\) | 4.76466 | + | 8.25263i | 0.260321 | + | 0.450889i | ||||
\(336\) | −4.40370 | − | 20.9055i | −0.240242 | − | 1.14049i | ||||
\(337\) | −12.1196 | + | 20.9918i | −0.660199 | + | 1.14350i | 0.320364 | + | 0.947294i | \(0.396195\pi\) |
−0.980563 | + | 0.196204i | \(0.937139\pi\) | |||||||
\(338\) | −0.438139 | − | 15.3952i | −0.0238316 | − | 0.837390i | ||||
\(339\) | −9.97215 | + | 21.7556i | −0.541613 | + | 1.18160i | ||||
\(340\) | −5.17012 | + | 5.79473i | −0.280389 | + | 0.314263i | ||||
\(341\) | 18.0374 | − | 18.0374i | 0.976782 | − | 0.976782i | ||||
\(342\) | 28.8705 | − | 14.9519i | 1.56114 | − | 0.808507i | ||||
\(343\) | − | 13.8486i | − | 0.747755i | ||||||
\(344\) | −30.3388 | − | 5.40935i | −1.63576 | − | 0.291653i | ||||
\(345\) | 2.83081 | − | 16.6918i | 0.152406 | − | 0.898657i | ||||
\(346\) | 0.583990 | + | 0.551670i | 0.0313955 | + | 0.0296579i | ||||
\(347\) | 1.32342 | + | 4.93905i | 0.0710447 | + | 0.265142i | 0.992307 | − | 0.123799i | \(-0.0395077\pi\) |
−0.921263 | + | 0.388941i | \(0.872841\pi\) | |||||||
\(348\) | −1.80795 | + | 0.791189i | −0.0969163 | + | 0.0424122i | ||||
\(349\) | −1.64164 | + | 6.12667i | −0.0878748 | + | 0.327953i | −0.995843 | − | 0.0910858i | \(-0.970966\pi\) |
0.907968 | + | 0.419039i | \(0.137633\pi\) | |||||||
\(350\) | 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 | 0.982104 | − | 0.188338i | \(-0.0603100\pi\) |
−0.654157 | + | 0.756358i | \(0.726977\pi\) | |||||||
\(354\) | 14.6161 | + | 2.05291i | 0.776838 | + | 0.109111i | ||||
\(355\) | −10.6523 | + | 2.85428i | −0.565367 | + | 0.151490i | ||||
\(356\) | −2.15836 | + | 1.41564i | −0.114393 | + | 0.0750287i | ||||
\(357\) | 7.38697 | − | 5.24473i | 0.390960 | − | 0.277580i | ||||
\(358\) | −0.854537 | + | 0.255238i | −0.0451637 | + | 0.0134898i | ||||
\(359\) | 25.7836i | 1.36081i | 0.732838 | + | 0.680403i | \(0.238195\pi\) | ||||
−0.732838 | + | 0.680403i | \(0.761805\pi\) | |||||||
\(360\) | 9.89955 | + | 16.7127i | 0.521752 | + | 0.880838i | ||||
\(361\) | 39.7258i | 2.09083i | ||||||||
\(362\) | 5.19993 | + | 17.4093i | 0.273302 | + | 0.915015i | ||||
\(363\) | 2.52114 | + | 1.15562i | 0.132325 | + | 0.0606542i | ||||
\(364\) | 8.77020 | + | 1.82256i | 0.459684 | + | 0.0955279i | ||||
\(365\) | 0.0562594 | − | 0.0150747i | 0.00294475 | − | 0.000789044i | ||||
\(366\) | 7.76714 | + | 6.06730i | 0.405995 | + | 0.317143i | ||||
\(367\) | −1.72726 | − | 2.99170i | −0.0901622 | − | 0.156166i | 0.817417 | − | 0.576046i | \(-0.195405\pi\) |
−0.907579 | + | 0.419881i | \(0.862072\pi\) | |||||||
\(368\) | 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 | ||||
\(371\) | 8.57759 | − | 32.0120i | 0.445326 | − | 1.66198i | ||||
\(372\) | −24.6107 | + | 3.73739i | −1.27600 | + | 0.193774i | ||||
\(373\) | −4.64499 | − | 17.3353i | −0.240508 | − | 0.897590i | −0.975588 | − | 0.219609i | \(-0.929522\pi\) |
0.735080 | − | 0.677981i | \(-0.237145\pi\) | |||||||
\(374\) | 5.84744 | − | 6.19002i | 0.302364 | − | 0.320078i | ||||
\(375\) | 14.5355 | + | 12.0356i | 0.750609 | + | 0.621517i | ||||
\(376\) | −1.04322 | − | 1.49595i | −0.0537998 | − | 0.0771475i | ||||
\(377\) | − | 0.827440i | − | 0.0426153i | ||||||
\(378\) | −6.90987 | − | 21.5811i | −0.355405 | − | 1.11001i | ||||
\(379\) | 19.9585 | − | 19.9585i | 1.02520 | − | 1.02520i | 0.0255265 | − | 0.999674i | \(-0.491874\pi\) |
0.999674 | − | 0.0255265i | \(-0.00812622\pi\) | |||||||
\(380\) | −35.0290 | + | 1.99543i | −1.79695 | + | 0.102363i | ||||
\(381\) | −19.0987 | + | 1.79683i | −0.978457 | + | 0.0920546i | ||||
\(382\) | 19.6911 | − | 0.560398i | 1.00748 | − | 0.0286724i | ||||
\(383\) | −5.88309 | + | 10.1898i | −0.300612 | + | 0.520675i | −0.976275 | − | 0.216536i | \(-0.930524\pi\) |
0.675663 | + | 0.737211i | \(0.263858\pi\) | |||||||
\(384\) | −4.47947 | + | 19.0771i | −0.228592 | + | 0.973522i | ||||
\(385\) | −12.5294 | − | 21.7016i | −0.638559 | − | 1.10602i | ||||
\(386\) | −0.986007 | − | 1.60084i | −0.0501864 | − | 0.0814807i | ||||
\(387\) | −32.5967 | − | 2.42275i | −1.65698 | − | 0.123156i | ||||
\(388\) | 7.76181 | − | 15.4061i | 0.394046 | − | 0.782124i | ||||
\(389\) | −28.4276 | − | 7.61717i | −1.44134 | − | 0.386206i | −0.548337 | − | 0.836258i | \(-0.684739\pi\) |
−0.893002 | + | 0.450052i | \(0.851405\pi\) | |||||||
\(390\) | −8.08351 | + | 0.993221i | −0.409325 | + | 0.0502937i | ||||
\(391\) | 6.27219 | + | 3.62125i | 0.317198 | + | 0.183135i | ||||
\(392\) | 3.01147 | − | 6.42603i | 0.152102 | − | 0.324564i | ||||
\(393\) | −2.57528 | + | 0.956440i | −0.129906 | + | 0.0482460i | ||||
\(394\) | 9.61364 | + | 32.1864i | 0.484328 | + | 1.62153i | ||||
\(395\) | −25.6050 | + | 25.6050i | −1.28833 | + | 1.28833i | ||||
\(396\) | −10.3290 | − | 18.6267i | −0.519054 | − | 0.936027i | ||||
\(397\) | −7.53419 | − | 7.53419i | −0.378130 | − | 0.378130i | 0.492297 | − | 0.870427i | \(-0.336157\pi\) |
−0.870427 | + | 0.492297i | \(0.836157\pi\) | |||||||
\(398\) | 3.57909 | + | 1.93277i | 0.179403 | + | 0.0968810i | ||||
\(399\) | 40.3540 | + | 6.84373i | 2.02023 | + | 0.342615i | ||||
\(400\) | −0.109248 | − | 0.955794i | −0.00546240 | − | 0.0477897i | ||||
\(401\) | −4.77831 | + | 8.27628i | −0.238617 | + | 0.413297i | −0.960318 | − | 0.278908i | \(-0.910028\pi\) |
0.721700 | + | 0.692206i | \(0.243361\pi\) | |||||||
\(402\) | −1.41823 | + | 10.0974i | −0.0707348 | + | 0.503612i | ||||
\(403\) | 2.70129 | − | 10.0814i | 0.134561 | − | 0.502189i | ||||
\(404\) | 7.99859 | + | 24.2418i | 0.397945 | + | 1.20607i | ||||
\(405\) | 12.2547 | + | 16.5621i | 0.608940 | + | 0.822978i | ||||
\(406\) | −2.41710 | − | 0.574491i | −0.119959 | − | 0.0285115i | ||||
\(407\) | 11.2923 | − | 6.51959i | 0.559737 | − | 0.323164i | ||||
\(408\) | −8.17660 | + | 1.48080i | −0.404802 | + | 0.0733106i | ||||
\(409\) | 17.7240 | + | 10.2330i | 0.876395 | + | 0.505987i | 0.869468 | − | 0.493989i | \(-0.164462\pi\) |
0.00692724 | + | 0.999976i | \(0.497795\pi\) | |||||||
\(410\) | −22.1462 | − | 20.9205i | −1.09372 | − | 1.03319i | ||||
\(411\) | 21.0705 | − | 14.9600i | 1.03933 | − | 0.737922i | ||||
\(412\) | 0.102147 | + | 1.79315i | 0.00503240 | + | 0.0883420i | ||||
\(413\) | 13.1387 | + | 13.1387i | 0.646513 | + | 0.646513i | ||||
\(414\) | 13.3819 | − | 12.2105i | 0.657683 | − | 0.600115i | ||||
\(415\) | −22.1617 | −1.08788 | ||||||||
\(416\) | −6.57468 | − | 4.92729i | −0.322350 | − | 0.241581i | ||||
\(417\) | 7.57376 | + | 20.3928i | 0.370889 | + | 0.998642i | ||||
\(418\) | 38.4556 | − | 1.09443i | 1.88093 | − | 0.0535301i | ||||
\(419\) | 3.17857 | − | 0.851695i | 0.155283 | − | 0.0416080i | −0.180340 | − | 0.983604i | \(-0.557720\pi\) |
0.335623 | + | 0.941996i | \(0.391053\pi\) | |||||||
\(420\) | −2.71100 | + | 24.3030i | −0.132283 | + | 1.18587i | ||||
\(421\) | −8.30926 | − | 2.22646i | −0.404969 | − | 0.108511i | 0.0505841 | − | 0.998720i | \(-0.483892\pi\) |
−0.455553 | + | 0.890209i | \(0.650558\pi\) | |||||||
\(422\) | 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 | ||||
\(426\) | −10.8625 | − | 4.60979i | −0.526292 | − | 0.223345i | ||||
\(427\) | 3.21136 | + | 11.9850i | 0.155409 | + | 0.579994i | ||||
\(428\) | 9.51561 | + | 1.97746i | 0.459954 | + | 0.0955841i | ||||
\(429\) | 8.89088 | − | 0.836467i | 0.429256 | − | 0.0403850i | ||||
\(430\) | 31.0372 | + | 16.7607i | 1.49675 | + | 0.808271i | ||||
\(431\) | −7.01916 | −0.338101 | −0.169051 | − | 0.985607i | \(-0.554070\pi\) | ||||
−0.169051 | + | 0.985607i | \(0.554070\pi\) | |||||||
\(432\) | −2.66092 | + | 20.6136i | −0.128023 | + | 0.991771i | ||||
\(433\) | 25.2759 | 1.21468 | 0.607342 | − | 0.794440i | \(-0.292236\pi\) | ||||
0.607342 | + | 0.794440i | \(0.292236\pi\) | |||||||
\(434\) | −27.5740 | − | 14.8905i | −1.32360 | − | 0.714765i | ||||
\(435\) | 2.24894 | − | 0.211584i | 0.107828 | − | 0.0101447i | ||||
\(436\) | −6.18248 | + | 29.7503i | −0.296087 | + | 1.42478i | ||||
\(437\) | 8.46886 | + | 31.6062i | 0.405120 | + | 1.51193i | ||||
\(438\) | 0.0573696 | + | 0.0243463i | 0.00274123 | + | 0.00116331i | ||||
\(439\) | 22.3355 | − | 12.8954i | 1.06602 | − | 0.615464i | 0.138925 | − | 0.990303i | \(-0.455635\pi\) |
0.927090 | + | 0.374839i | \(0.122302\pi\) | |||||||
\(440\) | 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 | ||||
\(443\) | −4.77356 | − | 1.27907i | −0.226799 | − | 0.0607705i | 0.143630 | − | 0.989631i | \(-0.454122\pi\) |
−0.370429 | + | 0.928861i | \(0.620789\pi\) | |||||||
\(444\) | −12.6459 | − | 1.41065i | −0.600147 | − | 0.0669463i | ||||
\(445\) | 2.85378 | − | 0.764668i | 0.135282 | − | 0.0362487i | ||||
\(446\) | −16.6657 | + | 0.474295i | −0.789142 | + | 0.0224585i | ||||
\(447\) | −9.32675 | − | 25.1129i | −0.441140 | − | 1.18780i | ||||
\(448\) | −18.9583 | + | 15.7848i | −0.895697 | + | 0.745763i | ||||
\(449\) | −6.88400 | −0.324876 | −0.162438 | − | 0.986719i | \(-0.551936\pi\) | ||||
−0.162438 | + | 0.986719i | \(0.551936\pi\) | |||||||
\(450\) | −0.218753 | − | 0.996649i | −0.0103121 | − | 0.0469825i | ||||
\(451\) | 23.6207 | + | 23.6207i | 1.11225 | + | 1.11225i | ||||
\(452\) | 27.5898 | − | 1.57165i | 1.29772 | − | 0.0739244i | ||||
\(453\) | 2.36411 | − | 1.67851i | 0.111075 | − | 0.0788632i | ||||
\(454\) | −27.3114 | − | 25.7999i | −1.28179 | − | 1.21085i | ||||
\(455\) | −8.87928 | − | 5.12645i | −0.416267 | − | 0.240332i | ||||
\(456\) | −30.8521 | − | 21.3908i | −1.44478 | − | 1.00172i | ||||
\(457\) | 5.49636 | − | 3.17333i | 0.257109 | − | 0.148442i | −0.365906 | − | 0.930652i | \(-0.619241\pi\) |
0.623015 | + | 0.782210i | \(0.285908\pi\) | |||||||
\(458\) | −23.4302 | − | 5.56884i | −1.09482 | − | 0.260215i | ||||
\(459\) | −8.46696 | + | 2.44770i | −0.395204 | + | 0.114249i | ||||
\(460\) | −18.5648 | + | 6.12547i | −0.865589 | + | 0.285602i | ||||
\(461\) | 3.83405 | − | 14.3089i | 0.178569 | − | 0.666430i | −0.817347 | − | 0.576146i | \(-0.804556\pi\) |
0.995916 | − | 0.0902836i | \(-0.0287774\pi\) | |||||||
\(462\) | 3.72946 | − | 26.5527i | 0.173510 | − | 1.23534i | ||||
\(463\) | 6.15194 | − | 10.6555i | 0.285905 | − | 0.495202i | −0.686923 | − | 0.726730i | \(-0.741039\pi\) |
0.972828 | + | 0.231528i | \(0.0743725\pi\) | |||||||
\(464\) | 1.78391 | + | 1.41794i | 0.0828160 | + | 0.0658261i | ||||
\(465\) | 28.0914 | + | 4.76409i | 1.30271 | + | 0.220929i | ||||
\(466\) | −2.74546 | − | 1.48260i | −0.127181 | − | 0.0686801i | ||||
\(467\) | −12.7214 | − | 12.7214i | −0.588676 | − | 0.588676i | 0.348596 | − | 0.937273i | \(-0.386658\pi\) |
−0.937273 | + | 0.348596i | \(0.886658\pi\) | |||||||
\(468\) | −7.47055 | − | 4.48705i | −0.345326 | − | 0.207414i | ||||
\(469\) | −9.07672 | + | 9.07672i | −0.419124 | + | 0.419124i | ||||
\(470\) | 0.597430 | + | 2.00019i | 0.0275574 | + | 0.0922619i | ||||
\(471\) | 8.05412 | − | 2.99124i | 0.371114 | − | 0.137829i | ||||
\(472\) | −5.79840 | − | 16.0262i | −0.266893 | − | 0.737666i | ||||
\(473\) | −33.4954 | − | 19.3386i | −1.54012 | − | 0.889190i | ||||
\(474\) | −38.4570 | + | 4.72520i | −1.76639 | + | 0.217036i | ||||
\(475\) | 1.78025 | + | 0.477017i | 0.0816835 | + | 0.0218870i | ||||
\(476\) | −9.34230 | − | 4.70680i | −0.428204 | − | 0.215736i | ||||
\(477\) | −18.1463 | + | 26.6507i | −0.830860 | + | 1.22025i | ||||
\(478\) | 6.30418 | + | 10.2352i | 0.288346 | + | 0.468148i | ||||
\(479\) | 20.3626 | + | 35.2690i | 0.930389 | + | 1.61148i | 0.782657 | + | 0.622454i | \(0.213864\pi\) |
0.147732 | + | 0.989027i | \(0.452803\pi\) | |||||||
\(480\) | 11.7109 | − | 19.1296i | 0.534529 | − | 0.873143i | ||||
\(481\) | 2.66751 | − | 4.62026i | 0.121628 | − | 0.210666i | ||||
\(482\) | 25.7104 | − | 0.731703i | 1.17108 | − | 0.0333282i | ||||
\(483\) | 22.7054 | − | 2.13616i | 1.03313 | − | 0.0971986i | ||||
\(484\) | −0.182130 | − | 3.19723i | −0.00827865 | − | 0.145329i | ||||
\(485\) | −13.9621 | + | 13.9621i | −0.633988 | + | 0.633988i | ||||
\(486\) | −0.575766 | + | 22.0379i | −0.0261173 | + | 0.999659i | ||||
\(487\) | 33.9729i | 1.53946i | 0.638370 | + | 0.769730i | \(0.279609\pi\) | ||||
−0.638370 | + | 0.769730i | \(0.720391\pi\) | |||||||
\(488\) | 1.99766 | − | 11.2040i | 0.0904297 | − | 0.507182i | ||||
\(489\) | 6.46704 | + | 5.35482i | 0.292449 | + | 0.242153i | ||||
\(490\) | −5.57804 | + | 5.90484i | −0.251990 | + | 0.266753i | ||||
\(491\) | 8.39129 | + | 31.3167i | 0.378694 | + | 1.41330i | 0.847872 | + | 0.530200i | \(0.177883\pi\) |
−0.469179 | + | 0.883103i | \(0.655450\pi\) | |||||||
\(492\) | −4.89424 | − | 32.2286i | −0.220649 | − | 1.45298i | ||||
\(493\) | −0.250101 | + | 0.933389i | −0.0112640 | + | 0.0420377i | ||||
\(494\) | 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 | ||||
\(498\) | −18.6876 | − | 14.5978i | −0.837410 | − | 0.654143i | ||||
\(499\) | 14.1595 | − | 3.79403i | 0.633867 | − | 0.169844i | 0.0724432 | − | 0.997373i | \(-0.476920\pi\) |
0.561424 | + | 0.827528i | \(0.310254\pi\) | |||||||
\(500\) | 4.43371 | − | 21.3352i | 0.198282 | − | 0.954139i | ||||
\(501\) | 13.0954 | + | 6.00253i | 0.585057 | + | 0.268173i | ||||
\(502\) | 2.53161 | + | 8.47581i | 0.112991 | + | 0.378294i | ||||
\(503\) | 29.4642i | 1.31374i | 0.754002 | + | 0.656872i | \(0.228121\pi\) | ||||
−0.754002 | + | 0.656872i | \(0.771879\pi\) | |||||||
\(504\) | −18.2943 | + | 18.7075i | −0.814893 | + | 0.833298i | ||||
\(505\) | − | 29.2187i | − | 1.30022i | ||||||
\(506\) | 20.5390 | − | 6.13471i | 0.913068 | − | 0.272721i | ||||
\(507\) | −15.3805 | + | 10.9201i | −0.683071 | + | 0.484979i | ||||
\(508\) | 12.1484 | + | 18.5221i | 0.538998 | + | 0.821786i | ||||
\(509\) | −5.77318 | + | 1.54692i | −0.255892 | + | 0.0685659i | −0.384484 | − | 0.923132i | \(-0.625621\pi\) |
0.128593 | + | 0.991697i | \(0.458954\pi\) | |||||||
\(510\) | 9.41878 | + | 1.32292i | 0.417071 | + | 0.0585797i | ||||
\(511\) | 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 | ||||
\(515\) | 0.532074 | − | 1.98573i | 0.0234460 | − | 0.0875016i | ||||
\(516\) | 15.1316 | + | 34.5773i | 0.666131 | + | 1.52218i | ||||
\(517\) | −0.592419 | − | 2.21094i | −0.0260545 | − | 0.0972369i | ||||
\(518\) | −11.6446 | − | 11.0001i | −0.511634 | − | 0.483318i | ||||
\(519\) | 0.164514 | − | 0.970057i | 0.00722138 | − | 0.0425808i | ||||
\(520\) | 5.37931 | + | 7.71379i | 0.235898 | + | 0.338272i | ||||
\(521\) | − | 26.7544i | − | 1.17213i | −0.810264 | − | 0.586065i | \(-0.800676\pi\) | ||
0.810264 | − | 0.586065i | \(-0.199324\pi\) | |||||||
\(522\) | 2.03576 | + | 1.30295i | 0.0891028 | + | 0.0570286i | ||||
\(523\) | 22.3142 | − | 22.3142i | 0.975731 | − | 0.975731i | −0.0239815 | − | 0.999712i | \(-0.507634\pi\) |
0.999712 | + | 0.0239815i | \(0.00763427\pi\) | |||||||
\(524\) | 2.36698 | + | 2.11184i | 0.103402 | + | 0.0922562i | ||||
\(525\) | 0.535251 | − | 1.16773i | 0.0233603 | − | 0.0509637i | ||||
\(526\) | −0.352635 | − | 12.3908i | −0.0153756 | − | 0.540265i | ||||
\(527\) | −6.09436 | + | 10.5557i | −0.265475 | + | 0.459816i | ||||
\(528\) | −13.4324 | + | 20.6016i | −0.584572 | + | 0.896571i | ||||
\(529\) | −2.38414 | − | 4.12944i | −0.103658 | − | 0.179541i | ||||
\(530\) | 29.6252 | − | 18.2471i | 1.28684 | − | 0.792602i | ||||
\(531\) | −7.85315 | − | 16.2818i | −0.340798 | − | 0.706569i | ||||
\(532\) | −14.8089 | − | 44.8821i | −0.642046 | − | 1.94589i | ||||
\(533\) | 13.2019 | + | 3.53744i | 0.571838 | + | 0.153224i | ||||
\(534\) | 2.91010 | + | 1.23497i | 0.125932 | + | 0.0534425i | ||||
\(535\) | −9.63396 | − | 5.56217i | −0.416512 | − | 0.240473i | ||||
\(536\) | 11.0715 | − | 4.00576i | 0.478217 | − | 0.173022i | ||||
\(537\) | 0.841306 | + | 0.696616i | 0.0363050 | + | 0.0300612i | ||||
\(538\) | 12.4344 | − | 3.71397i | 0.536083 | − | 0.160121i | ||||
\(539\) | 6.29798 | − | 6.29798i | 0.271273 | − | 0.271273i | ||||
\(540\) | 10.2853 | − | 21.4520i | 0.442609 | − | 0.923146i | ||||
\(541\) | 8.87843 | + | 8.87843i | 0.381713 | + | 0.381713i | 0.871719 | − | 0.490006i | \(-0.163005\pi\) |
−0.490006 | + | 0.871719i | \(0.663005\pi\) | |||||||
\(542\) | −18.4778 | + | 34.2169i | −0.793688 | + | 1.46974i | ||||
\(543\) | 14.1921 | − | 17.1398i | 0.609039 | − | 0.735539i | ||||
\(544\) | 5.92722 | + | 7.54547i | 0.254127 | + | 0.323509i | ||||
\(545\) | 17.3900 | − | 30.1203i | 0.744904 | − | 1.29021i | ||||
\(546\) | −4.11057 | − | 10.1716i | −0.175916 | − | 0.435302i | ||||
\(547\) | 7.84612 | − | 29.2821i | 0.335476 | − | 1.25201i | −0.567876 | − | 0.823114i | \(-0.692235\pi\) |
0.903352 | − | 0.428899i | \(-0.141099\pi\) | |||||||
\(548\) | −26.6479 | − | 13.4256i | −1.13834 | − | 0.573514i | ||||
\(549\) | 0.894716 | − | 12.0379i | 0.0381855 | − | 0.513764i | ||||
\(550\) | 0.279189 | − | 1.17466i | 0.0119047 | − | 0.0500875i | ||||
\(551\) | −3.78085 | + | 2.18288i | −0.161070 | + | 0.0929936i | ||||
\(552\) | −19.6894 | − | 7.06333i | −0.838035 | − | 0.300635i | ||||
\(553\) | −42.2428 | − | 24.3889i | −1.79635 | − | 1.03712i | ||||
\(554\) | 19.7779 | − | 20.9366i | 0.840283 | − | 0.889512i | ||||
\(555\) | 13.2398 | + | 6.06872i | 0.561996 | + | 0.257603i | ||||
\(556\) | 16.7230 | − | 18.7434i | 0.709214 | − | 0.794896i | ||||
\(557\) | −21.6018 | − | 21.6018i | −0.915297 | − | 0.915297i | 0.0813861 | − | 0.996683i | \(-0.474065\pi\) |
−0.996683 | + | 0.0813861i | \(0.974065\pi\) | |||||||
\(558\) | 20.5496 | + | 22.5209i | 0.869936 | + | 0.953387i | ||||
\(559\) | −15.8249 | −0.669322 | ||||||||
\(560\) | 26.2683 | − | 10.3583i | 1.11004 | − | 0.437718i | ||||
\(561\) | −10.2822 | − | 1.74378i | −0.434113 | − | 0.0736222i | ||||
\(562\) | −0.586816 | − | 20.6194i | −0.0247534 | − | 0.869777i | ||||
\(563\) | −7.05746 | + | 1.89104i | −0.297437 | + | 0.0796979i | −0.404451 | − | 0.914560i | \(-0.632537\pi\) |
0.107015 | + | 0.994257i | \(0.465871\pi\) | |||||||
\(564\) | −0.813741 | + | 2.08016i | −0.0342647 | + | 0.0875905i | ||||
\(565\) | −30.5529 | − | 8.18663i | −1.28537 | − | 0.344414i | ||||
\(566\) | 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 | \(-0.476554\pi\) |
0.900473 | + | 0.434913i | \(0.143221\pi\) | |||||||
\(570\) | 25.8636 | + | 34.3161i | 1.08331 | + | 1.43734i | ||||
\(571\) | 5.01955 | + | 18.7332i | 0.210062 | + | 0.783960i | 0.987847 | + | 0.155430i | \(0.0496764\pi\) |
−0.777785 | + | 0.628530i | \(0.783657\pi\) | |||||||
\(572\) | −5.65536 | − | 8.62247i | −0.236462 | − | 0.360523i | ||||
\(573\) | −13.9672 | − | 19.6722i | −0.583490 | − | 0.821820i | ||||
\(574\) | 19.4996 | − | 36.1092i | 0.813897 | − | 1.50717i | ||||
\(575\) | 1.02692 | 0.0428255 | ||||||||
\(576\) | 22.4757 | − | 8.41686i | 0.936487 | − | 0.350703i | ||||
\(577\) | 35.0568 | 1.45943 | 0.729717 | − | 0.683750i | \(-0.239652\pi\) | ||||
0.729717 | + | 0.683750i | \(0.239652\pi\) | |||||||
\(578\) | 9.49032 | − | 17.5741i | 0.394745 | − | 0.730986i | ||||
\(579\) | −0.959490 | + | 2.09326i | −0.0398750 | + | 0.0869929i | ||||
\(580\) | −1.43052 | − | 2.18104i | −0.0593990 | − | 0.0905630i | ||||
\(581\) | −7.72648 | − | 28.8356i | −0.320548 | − | 1.19630i | ||||
\(582\) | −20.9702 | + | 2.57661i | −0.869243 | + | 0.106804i | ||||
\(583\) | −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 | ||||
\(587\) | −17.9155 | − | 4.80045i | −0.739453 | − | 0.198136i | −0.130618 | − | 0.991433i | \(-0.541696\pi\) |
−0.608835 | + | 0.793297i | \(0.708363\pi\) | |||||||
\(588\) | −8.59310 | + | 1.30495i | −0.354373 | + | 0.0538153i | ||||
\(589\) | −53.1915 | + | 14.2526i | −2.19172 | + | 0.587269i | ||||
\(590\) | 0.554946 | + | 19.4995i | 0.0228467 | + | 0.802783i | ||||
\(591\) | 26.2383 | − | 31.6881i | 1.07930 | − | 1.30347i | ||||
\(592\) | 5.38985 | + | 13.6685i | 0.221522 | + | 0.561771i | ||||
\(593\) | −5.47582 | −0.224865 | −0.112432 | − | 0.993659i | \(-0.535864\pi\) | ||||
−0.112432 | + | 0.993659i | \(0.535864\pi\) | |||||||
\(594\) | −11.9423 | + | 23.1915i | −0.489999 | + | 0.951559i | ||||
\(595\) | 8.46671 | + | 8.46671i | 0.347101 | + | 0.347101i | ||||
\(596\) | −20.5937 | + | 23.0816i | −0.843549 | + | 0.945460i | ||||
\(597\) | −0.466633 | − | 4.95988i | −0.0190980 | − | 0.202994i | ||||
\(598\) | 6.02270 | − | 6.37554i | 0.246286 | − | 0.260715i | ||||
\(599\) | 17.2378 | + | 9.95227i | 0.704319 | + | 0.406639i | 0.808954 | − | 0.587872i | \(-0.200034\pi\) |
−0.104635 | + | 0.994511i | \(0.533367\pi\) | |||||||
\(600\) | −0.899059 | + | 0.761517i | −0.0367039 | + | 0.0310888i | ||||
\(601\) | 30.3863 | − | 17.5435i | 1.23948 | − | 0.715616i | 0.270495 | − | 0.962721i | \(-0.412813\pi\) |
0.968989 | + | 0.247105i | \(0.0794793\pi\) | |||||||
\(602\) | −10.9872 | + | 46.2274i | −0.447805 | + | 1.88409i | ||||
\(603\) | 11.2481 | − | 5.42526i | 0.458057 | − | 0.220934i | ||||
\(604\) | −2.98989 | − | 1.50635i | −0.121657 | − | 0.0612925i | ||||
\(605\) | −0.948703 | + | 3.54061i | −0.0385703 | + | 0.143946i | ||||
\(606\) | 19.2462 | − | 24.6383i | 0.781824 | − | 1.00086i | ||||
\(607\) | 7.86595 | − | 13.6242i | 0.319269 | − | 0.552991i | −0.661067 | − | 0.750327i | \(-0.729896\pi\) |
0.980336 | + | 0.197337i | \(0.0632292\pi\) | |||||||
\(608\) | −5.16976 | + | 43.0407i | −0.209661 | + | 1.74553i | ||||
\(609\) | 1.05937 | + | 2.85243i | 0.0429280 | + | 0.115586i | ||||
\(610\) | −6.18966 | + | 11.4620i | −0.250612 | + | 0.464081i | ||||
\(611\) | −0.662222 | − | 0.662222i | −0.0267906 | − | 0.0267906i | ||||
\(612\) | 7.07087 | + | 7.31964i | 0.285823 | + | 0.295879i | ||||
\(613\) | −19.8523 | + | 19.8523i | −0.801828 | + | 0.801828i | −0.983381 | − | 0.181553i | \(-0.941888\pi\) |
0.181553 | + | 0.983381i | \(0.441888\pi\) | |||||||
\(614\) | 26.4896 | − | 7.91208i | 1.06903 | − | 0.319306i | ||||
\(615\) | −6.23875 | + | 36.7867i | −0.251571 | + | 1.48338i | ||||
\(616\) | −29.1143 | + | 10.5338i | −1.17305 | + | 0.424418i | ||||
\(617\) | −14.2878 | − | 8.24909i | −0.575207 | − | 0.332096i | 0.184019 | − | 0.982923i | \(-0.441089\pi\) |
−0.759226 | + | 0.650827i | \(0.774422\pi\) | |||||||
\(618\) | 1.75665 | − | 1.32396i | 0.0706630 | − | 0.0532577i | ||||
\(619\) | −40.3865 | − | 10.8215i | −1.62327 | − | 0.434954i | −0.671311 | − | 0.741176i | \(-0.734269\pi\) |
−0.951960 | + | 0.306221i | \(0.900935\pi\) | |||||||
\(620\) | −10.3088 | − | 31.2436i | −0.414012 | − | 1.25477i | ||||
\(621\) | −21.5394 | − | 5.32090i | −0.864345 | − | 0.213520i | ||||
\(622\) | −2.88690 | + | 1.77813i | −0.115754 | + | 0.0712965i | ||||
\(623\) | 1.98989 | + | 3.44659i | 0.0797232 | + | 0.138085i | ||||
\(624\) | −0.544998 | + | 10.0479i | −0.0218174 | + | 0.402237i | ||||
\(625\) | −13.0723 | + | 22.6420i | −0.522894 | + | 0.905678i | ||||
\(626\) | 0.517683 | + | 18.1902i | 0.0206908 | + | 0.727026i | ||||
\(627\) | −27.2772 | − | 38.4188i | −1.08935 | − | 1.53430i | ||||
\(628\) | −7.40266 | − | 6.60473i | −0.295398 | − | 0.263557i | ||||
\(629\) | −4.40559 | + | 4.40559i | −0.175662 | + | 0.175662i | ||||
\(630\) | 26.5947 | − | 13.7733i | 1.05956 | − | 0.548741i | ||||
\(631\) | 1.27009i | 0.0505615i | 0.999680 | + | 0.0252808i | \(0.00804797\pi\) | ||||
−0.999680 | + | 0.0252808i | \(0.991952\pi\) | |||||||
\(632\) | 25.5918 | + | 36.6980i | 1.01799 | + | 1.45977i | ||||
\(633\) | −5.00303 | + | 1.85809i | −0.198853 | + | 0.0738525i | ||||
\(634\) | −6.50481 | − | 6.14481i | −0.258339 | − | 0.244041i | ||||
\(635\) | −6.56205 | − | 24.4899i | −0.260407 | − | 0.971853i | ||||
\(636\) | 37.0003 | + | 4.12738i | 1.46716 | + | 0.163661i | ||||
\(637\) | 0.943188 | − | 3.52002i | 0.0373705 | − | 0.139468i | ||||
\(638\) | 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 | 0.835063 | + | 0.550155i | \(0.185431\pi\) |
0.0589168 | + | 0.998263i | \(0.481235\pi\) | |||||||
\(642\) | −4.45994 | − | 11.0361i | −0.176020 | − | 0.435559i | ||||
\(643\) | −22.0154 | + | 5.89901i | −0.868203 | + | 0.232634i | −0.665311 | − | 0.746567i | \(-0.731701\pi\) |
−0.202892 | + | 0.979201i | \(0.565034\pi\) | |||||||
\(644\) | −14.4426 | − | 22.0199i | −0.569118 | − | 0.867707i | ||||
\(645\) | −4.04657 | − | 43.0113i | −0.159333 | − | 1.69357i | ||||
\(646\) | −17.6136 | + | 5.26094i | −0.692997 | + | 0.206989i | ||||
\(647\) | − | 14.3883i | − | 0.565662i | −0.959170 | − | 0.282831i | \(-0.908726\pi\) | ||
0.959170 | − | 0.282831i | \(-0.0912735\pi\) | |||||||
\(648\) | 22.8033 | − | 11.3142i | 0.895796 | − | 0.444465i | ||||
\(649\) | − | 21.3897i | − | 0.839619i | ||||||
\(650\) | −0.141380 | − | 0.473340i | −0.00554539 | − | 0.0185659i | ||||
\(651\) | 3.59504 | + | 38.2120i | 0.140901 | + | 1.49765i | ||||
\(652\) | 1.97262 | − | 9.49233i | 0.0772538 | − | 0.371748i | ||||
\(653\) | 22.0879 | − | 5.91845i | 0.864368 | − | 0.231607i | 0.200717 | − | 0.979649i | \(-0.435673\pi\) |
0.663651 | + | 0.748043i | \(0.269006\pi\) | |||||||
\(654\) | 34.5040 | − | 13.9439i | 1.34921 | − | 0.545249i | ||||
\(655\) | −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 | ||||
\(659\) | 5.74352 | − | 21.4351i | 0.223736 | − | 0.834993i | −0.759172 | − | 0.650891i | \(-0.774396\pi\) |
0.982907 | − | 0.184102i | \(-0.0589377\pi\) | |||||||
\(660\) | 21.9893 | − | 17.5758i | 0.855933 | − | 0.684138i | ||||
\(661\) | 4.30024 | + | 16.0487i | 0.167260 | + | 0.624223i | 0.997741 | + | 0.0671760i | \(0.0213989\pi\) |
−0.830481 | + | 0.557047i | \(0.811934\pi\) | |||||||
\(662\) | −1.07460 | + | 1.13756i | −0.0417656 | + | 0.0442125i | ||||
\(663\) | −4.00008 | + | 1.48560i | −0.155350 | + | 0.0576960i | ||||
\(664\) | −4.80632 | + | 26.9567i | −0.186522 | + | 1.04612i | ||||
\(665\) | 54.0966i | 2.09778i | ||||||||
\(666\) | 7.16682 | + | 13.8383i | 0.277709 | + | 0.536224i | ||||
\(667\) | −1.72006 | + | 1.72006i | −0.0666010 | + | 0.0666010i | ||||
\(668\) | −0.946025 | − | 16.6071i | −0.0366028 | − | 0.642549i | ||||
\(669\) | 11.8212 | + | 16.6497i | 0.457035 | + | 0.643714i | ||||
\(670\) | −13.4710 | + | 0.383378i | −0.520431 | + | 0.0148112i | ||||
\(671\) | 7.14169 | − | 12.3698i | 0.275702 | − | 0.477529i | ||||
\(672\) | 28.9733 | + | 8.56828i | 1.11767 | + | 0.330529i | ||||
\(673\) | −8.32057 | − | 14.4116i | −0.320734 | − | 0.555528i | 0.659905 | − | 0.751349i | \(-0.270596\pi\) |
−0.980640 | + | 0.195821i | \(0.937263\pi\) | |||||||
\(674\) | −17.9774 | − | 29.1873i | −0.692462 | − | 1.12425i | ||||
\(675\) | −0.866166 | + | 0.900833i | −0.0333387 | + | 0.0346731i | ||||
\(676\) | 19.4517 | + | 9.80007i | 0.748143 | + | 0.376926i | ||||
\(677\) | 13.3296 | + | 3.57166i | 0.512298 | + | 0.137270i | 0.505702 | − | 0.862708i | \(-0.331234\pi\) |
0.00659653 | + | 0.999978i | \(0.497900\pi\) | |||||||
\(678\) | −20.3709 | − | 27.0283i | −0.782338 | − | 1.03802i | ||||
\(679\) | −23.0346 | − | 13.2990i | −0.883985 | − | 0.510369i | ||||
\(680\) | −3.73655 | − | 10.3275i | −0.143290 | − | 0.396040i | ||||
\(681\) | −7.69383 | + | 45.3666i | −0.294828 | + | 1.73845i | ||||
\(682\) | 10.3244 | + | 34.5659i | 0.395341 | + | 1.32360i | ||||
\(683\) | 32.4757 | − | 32.4757i | 1.24265 | − | 1.24265i | 0.283751 | − | 0.958898i | \(-0.408421\pi\) |
0.958898 | − | 0.283751i | \(-0.0915788\pi\) | |||||||
\(684\) | −0.794727 | + | 45.9728i | −0.0303872 | + | 1.75781i | ||||
\(685\) | 24.1504 | + | 24.1504i | 0.922737 | + | 0.922737i | ||||
\(686\) | 17.2327 | + | 9.30598i | 0.657949 | + | 0.355304i | ||||
\(687\) | 10.2691 | + | 27.6501i | 0.391789 | + | 1.05492i | ||||
\(688\) | 27.1182 | − | 34.1175i | 1.03387 | − | 1.30072i | ||||
\(689\) | −7.80481 | + | 13.5183i | −0.297339 | + | 0.515007i | ||||
\(690\) | 18.8685 | + | 14.7391i | 0.718310 | + | 0.561108i | ||||
\(691\) | −10.4640 | + | 39.0522i | −0.398070 | + | 1.48562i | 0.418419 | + | 0.908254i | \(0.362584\pi\) |
−0.816489 | + | 0.577362i | \(0.804082\pi\) | |||||||
\(692\) | −1.07891 | + | 0.355986i | −0.0410139 | + | 0.0135326i | ||||
\(693\) | −29.5786 | + | 14.2666i | −1.12360 | + | 0.541943i | ||||
\(694\) | −7.03529 | − | 1.67213i | −0.267056 | − | 0.0634732i | ||||
\(695\) | −24.8996 | + | 14.3758i | −0.944496 | + | 0.545305i | ||||
\(696\) | 0.230377 | − | 2.78141i | 0.00873243 | − | 0.105429i | ||||
\(697\) | −13.8231 | − | 7.98079i | −0.523588 | − | 0.302294i | ||||
\(698\) | −6.52067 | − | 6.15979i | −0.246811 | − | 0.233151i | ||||
\(699\) | 0.357947 | + | 3.80465i | 0.0135388 | + | 0.143905i | ||||
\(700\) | −1.48087 | + | 0.0843579i | −0.0559718 | + | 0.00318843i | ||||
\(701\) | 8.81145 | + | 8.81145i | 0.332804 | + | 0.332804i | 0.853650 | − | 0.520847i | \(-0.174384\pi\) |
−0.520847 | + | 0.853650i | \(0.674384\pi\) | |||||||
\(702\) | 0.512839 | + | 10.6607i | 0.0193559 | + | 0.402363i | ||||
\(703\) | −28.1487 | −1.06165 | ||||||||
\(704\) | 28.2808 | + | 2.58322i | 1.06587 | + | 0.0973586i | ||||
\(705\) | 1.63055 | − | 1.96922i | 0.0614101 | − | 0.0741652i | ||||
\(706\) | −17.4205 | + | 0.495777i | −0.655628 | + | 0.0186588i | ||||
\(707\) | 38.0178 | − | 10.1868i | 1.42981 | − | 0.383116i | ||||
\(708\) | −12.3763 | + | 16.8083i | −0.465130 | + | 0.631694i | ||||
\(709\) | −9.33375 | − | 2.50097i | −0.350537 | − | 0.0939260i | 0.0792544 | − | 0.996854i | \(-0.474746\pi\) |
−0.429791 | + | 0.902928i | \(0.641413\pi\) | |||||||
\(710\) | 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 | ||||
\(714\) | 1.56247 | + | 12.7164i | 0.0584738 | + | 0.475900i | ||||
\(715\) | 3.05479 | + | 11.4006i | 0.114242 | + | 0.426359i | ||||
\(716\) | 0.256621 | − | 1.23487i | 0.00959038 | − | 0.0461493i | ||||
\(717\) | 6.13464 | − | 13.3836i | 0.229102 | − | 0.499818i | ||||
\(718\) | −32.0842 | − | 17.3260i | −1.19737 | − | 0.646602i | ||||
\(719\) | 17.6869 | 0.659611 | 0.329805 | − | 0.944049i | \(-0.393017\pi\) | ||||
0.329805 | + | 0.944049i | \(0.393017\pi\) | |||||||
\(720\) | −27.4490 | + | 1.08805i | −1.02296 | + | 0.0405494i | ||||
\(721\) | 2.76922 | 0.103131 | ||||||||
\(722\) | −49.4334 | − | 26.6949i | −1.83972 | − | 0.993483i | ||||
\(723\) | −18.2368 | − | 25.6858i | −0.678235 | − | 0.955264i | ||||
\(724\) | −25.1578 | − | 5.22810i | −0.934983 | − | 0.194301i | ||||
\(725\) | 0.0354620 | + | 0.132346i | 0.00131703 | + | 0.00491521i | ||||
\(726\) | −3.13216 | + | 2.36067i | −0.116245 | + | 0.0876125i | ||||
\(727\) | 32.8260 | − | 18.9521i | 1.21745 | − | 0.702894i | 0.253077 | − | 0.967446i | \(-0.418557\pi\) |
0.964371 | + | 0.264552i | \(0.0852241\pi\) | |||||||
\(728\) | −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 | ||||
\(731\) | 17.8512 | + | 4.78321i | 0.660250 | + | 0.176914i | ||||
\(732\) | −12.7693 | + | 5.58805i | −0.471967 | + | 0.206540i | ||||
\(733\) | 38.0971 | − | 10.2081i | 1.40715 | − | 0.377044i | 0.526242 | − | 0.850335i | \(-0.323601\pi\) |
0.880906 | + | 0.473291i | \(0.156934\pi\) | |||||||
\(734\) | 4.88345 | − | 0.138980i | 0.180251 | − | 0.00512985i | ||||
\(735\) | 9.80844 | + | 1.66344i | 0.361790 | + | 0.0613568i | ||||
\(736\) | 3.42454 | + | 23.9100i | 0.126230 | + | 0.881334i | ||||
\(737\) | 14.7768 | 0.544311 | ||||||||
\(738\) | −29.4920 | + | 26.9105i | −1.08561 | + | 0.990589i | ||||
\(739\) | −4.56683 | − | 4.56683i | −0.167993 | − | 0.167993i | 0.618103 | − | 0.786097i | \(-0.287901\pi\) |
−0.786097 | + | 0.618103i | \(0.787901\pi\) | |||||||
\(740\) | −0.956457 | − | 16.7903i | −0.0351600 | − | 0.617222i | ||||
\(741\) | −17.5249 | − | 8.03291i | −0.643794 | − | 0.295096i | ||||
\(742\) | 34.0706 | + | 32.1850i | 1.25077 | + | 1.18155i | ||||
\(743\) | −10.7721 | − | 6.21930i | −0.395192 | − | 0.228164i | 0.289216 | − | 0.957264i | \(-0.406606\pi\) |
−0.684407 | + | 0.729100i | \(0.739939\pi\) | |||||||
\(744\) | 11.8872 | − | 33.1361i | 0.435806 | − | 1.21483i | ||||
\(745\) | 30.6628 | − | 17.7032i | 1.12340 | − | 0.648593i | ||||
\(746\) | 24.6928 | + | 5.86892i | 0.904069 | + | 0.214877i | ||||
\(747\) | −2.15267 | + | 28.9629i | −0.0787620 | + | 1.05970i | ||||
\(748\) | 3.77329 | + | 11.4359i | 0.137965 | + | 0.418138i | ||||
\(749\) | 3.87840 | − | 14.4744i | 0.141714 | − | 0.528882i | ||||
\(750\) | −24.7442 | + | 9.99974i | −0.903532 | + | 0.365139i | ||||
\(751\) | −6.54573 | + | 11.3375i | −0.238857 | + | 0.413713i | −0.960387 | − | 0.278671i | \(-0.910106\pi\) |
0.721530 | + | 0.692384i | \(0.243439\pi\) | |||||||
\(752\) | 2.56252 | − | 0.292899i | 0.0934456 | − | 0.0106809i | ||||
\(753\) | 6.90946 | − | 8.34458i | 0.251795 | − | 0.304093i | ||||
\(754\) | 1.02964 | + | 0.556022i | 0.0374972 | + | 0.0202491i | ||||
\(755\) | 2.70966 | + | 2.70966i | 0.0986148 | + | 0.0986148i | ||||
\(756\) | 31.4980 | + | 5.90364i | 1.14557 | + | 0.214713i | ||||
\(757\) | −6.71290 | + | 6.71290i | −0.243985 | + | 0.243985i | −0.818496 | − | 0.574512i | \(-0.805192\pi\) |
0.574512 | + | 0.818496i | \(0.305192\pi\) | |||||||
\(758\) | 11.4240 | + | 38.2474i | 0.414937 | + | 1.38921i | ||||
\(759\) | −20.2210 | − | 16.7433i | −0.733974 | − | 0.607743i | ||||
\(760\) | 21.0557 | − | 44.9297i | 0.763771 | − | 1.62977i | ||||
\(761\) | −2.25713 | − | 1.30315i | −0.0818208 | − | 0.0472393i | 0.458531 | − | 0.888678i | \(-0.348376\pi\) |
−0.540352 | + | 0.841439i | \(0.681709\pi\) | |||||||
\(762\) | 10.5980 | − | 24.9732i | 0.383926 | − | 0.904684i | ||||
\(763\) | 45.2538 | + | 12.1257i | 1.63830 | + | 0.438980i | ||||
\(764\) | −12.5347 | + | 24.8795i | −0.453489 | + | 0.900109i | ||||
\(765\) | −5.06065 | − | 10.4921i | −0.182968 | − | 0.379344i | ||||
\(766\) | −8.72653 | − | 14.1681i | −0.315302 | − | 0.511913i | ||||
\(767\) | −4.37583 | − | 7.57916i | −0.158002 | − | 0.273668i | ||||
\(768\) | −20.7287 | − | 18.3935i | −0.747983 | − | 0.663718i | ||||
\(769\) | 16.7811 | − | 29.0657i | 0.605142 | − | 1.04814i | −0.386887 | − | 0.922127i | \(-0.626450\pi\) |
0.992029 | − | 0.126010i | \(-0.0402170\pi\) | |||||||
\(770\) | 35.4242 | − | 1.00815i | 1.27660 | − | 0.0363313i | ||||
\(771\) | 0.625135 | − | 1.36382i | 0.0225137 | − | 0.0491167i | ||||
\(772\) | 2.65461 | − | 0.151220i | 0.0955414 | − | 0.00544252i | ||||
\(773\) | −22.0710 | + | 22.0710i | −0.793837 | + | 0.793837i | −0.982116 | − | 0.188279i | \(-0.939709\pi\) |
0.188279 | + | 0.982116i | \(0.439709\pi\) | |||||||
\(774\) | 24.9191 | − | 38.9342i | 0.895699 | − | 1.39946i | ||||
\(775\) | 1.72825i | 0.0620806i | ||||||||
\(776\) | 13.9550 | + | 20.0111i | 0.500954 | + | 0.718355i | ||||
\(777\) | −3.28037 | + | 19.3427i | −0.117683 | + | 0.693914i | ||||
\(778\) | 28.5813 | − | 30.2558i | 1.02469 | − | 1.08472i | ||||
\(779\) | −18.6643 | − | 69.6561i | −0.668718 | − | 2.49569i | ||||
\(780\) | 4.19602 | − | 10.7263i | 0.150242 | − | 0.384062i | ||||
\(781\) | −4.42605 | + | 16.5182i | −0.158377 | + | 0.591069i | ||||
\(782\) | −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 | ||||
\(786\) | 0.540372 | − | 3.84729i | 0.0192744 | − | 0.137228i | ||||
\(787\) | 1.11151 | − | 0.297829i | 0.0396212 | − | 0.0106165i | −0.238954 | − | 0.971031i | \(-0.576805\pi\) |
0.278575 | + | 0.960414i | \(0.410138\pi\) | |||||||
\(788\) | −46.5118 | − | 9.66572i | −1.65691 | − | 0.344327i | ||||
\(789\) | −12.3789 | + | 8.78901i | −0.440702 | + | 0.312897i | ||||
\(790\) | −14.6559 | − | 49.0680i | −0.521435 | − | 1.74576i | ||||
\(791\) | − | 42.6080i | − | 1.51497i | ||||||
\(792\) | 30.1193 | − | 0.336344i | 1.07024 | − | 0.0119514i | ||||
\(793\) | − | 5.84409i | − | 0.207530i | ||||||
\(794\) | 14.4381 | − | 4.31246i | 0.512389 | − | 0.153044i | ||||
\(795\) | −38.7379 | − | 17.7563i | −1.37389 | − | 0.629752i | ||||
\(796\) | −4.81014 | + | 3.15491i | −0.170491 | + | 0.111823i | ||||
\(797\) | 16.7597 | − | 4.49076i | 0.593661 | − | 0.159071i | 0.0505349 | − | 0.998722i | \(-0.483907\pi\) |
0.543126 | + | 0.839651i | \(0.317241\pi\) | |||||||
\(798\) | −35.6331 | + | 45.6162i | −1.26140 | + | 1.61480i | ||||
\(799\) | 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 | ||||
\(803\) | 0.0233758 | − | 0.0872398i | 0.000824915 | − | 0.00307862i | ||||
\(804\) | −11.6118 | − | 8.55002i | −0.409517 | − | 0.301536i | ||||
\(805\) | 7.80127 | + | 29.1147i | 0.274959 | + | 1.02616i | ||||
\(806\) | 10.7297 | + | 10.1359i | 0.377937 | + | 0.357021i | ||||
\(807\) | −12.2418 | − | 10.1364i | −0.430933 | − | 0.356820i | ||||
\(808\) | −35.5405 | − | 6.33681i | −1.25031 | − | 0.222928i | ||||
\(809\) | − | 27.6770i | − | 0.973071i | −0.873661 | − | 0.486535i | \(-0.838260\pi\) | ||
0.873661 | − | 0.486535i | \(-0.161740\pi\) | |||||||
\(810\) | −28.8442 | + | 4.11992i | −1.01348 | + | 0.144759i | ||||
\(811\) | −4.54878 | + | 4.54878i | −0.159729 | + | 0.159729i | −0.782447 | − | 0.622717i | \(-0.786029\pi\) |
0.622717 | + | 0.782447i | \(0.286029\pi\) | |||||||
\(812\) | 2.33912 | − | 2.62171i | 0.0820870 | − | 0.0920041i | ||||
\(813\) | 47.4177 | − | 4.46113i | 1.66301 | − | 0.156459i | ||||
\(814\) | 0.524585 | + | 18.4327i | 0.0183867 | + | 0.646066i | ||||
\(815\) | −5.54856 | + | 9.61038i | −0.194357 | + | 0.336637i | ||||
\(816\) | 3.65184 | − | 11.1697i | 0.127840 | − | 0.391019i | ||||
\(817\) | 41.7478 | + | 72.3093i | 1.46057 | + | 2.52978i | ||||
\(818\) | −24.6437 | + | 15.1788i | −0.861647 | + | 0.530714i | ||||
\(819\) | −7.56219 | + | 11.1063i | −0.264244 | + | 0.388084i | ||||
\(820\) | 40.9146 | − | 13.4998i | 1.42880 | − | 0.471433i | ||||
\(821\) | 50.7007 | + | 13.5852i | 1.76947 | + | 0.474127i | 0.988599 | − | 0.150570i | \(-0.0481110\pi\) |
0.780867 | + | 0.624697i | \(0.214778\pi\) | |||||||
\(822\) | 4.45676 | + | 36.2722i | 0.155447 | + | 1.26514i | ||||
\(823\) | −9.55969 | − | 5.51929i | −0.333230 | − | 0.192390i | 0.324044 | − | 0.946042i | \(-0.394957\pi\) |
−0.657274 | + | 0.753652i | \(0.728291\pi\) | |||||||
\(824\) | −2.29997 | − | 1.07785i | −0.0801232 | − | 0.0375487i | ||||
\(825\) | −1.38622 | + | 0.514831i | −0.0482619 | + | 0.0179241i | ||||
\(826\) | −25.1783 | + | 7.52040i | −0.876064 | + | 0.261668i | ||||
\(827\) | −10.9860 | + | 10.9860i | −0.382020 | + | 0.382020i | −0.871830 | − | 0.489809i | \(-0.837066\pi\) |
0.489809 | + | 0.871830i | \(0.337066\pi\) | |||||||
\(828\) | 6.20202 | + | 24.8571i | 0.215535 | + | 0.863845i | ||||
\(829\) | 0.634004 | + | 0.634004i | 0.0220199 | + | 0.0220199i | 0.718031 | − | 0.696011i | \(-0.245044\pi\) |
−0.696011 | + | 0.718031i | \(0.745044\pi\) | |||||||
\(830\) | 14.8922 | − | 27.5773i | 0.516916 | − | 0.957220i | ||||
\(831\) | −34.7775 | − | 5.89800i | −1.20642 | − | 0.204600i | ||||
\(832\) | 10.5494 | − | 4.87026i | 0.365735 | − | 0.168846i | ||||
\(833\) | −2.12792 | + | 3.68566i | −0.0737280 | + | 0.127701i | ||||
\(834\) | −30.4655 | − | 4.27904i | −1.05494 | − | 0.148171i | ||||
\(835\) | −4.92777 | + | 18.3907i | −0.170533 | + | 0.636436i | ||||
\(836\) | −24.4795 | + | 48.5883i | −0.846642 | + | 1.68046i | ||||
\(837\) | 8.95478 | − | 36.2496i | 0.309523 | − | 1.25297i | ||||
\(838\) | −1.07611 | + | 4.52762i | −0.0371737 | + | 0.156404i | ||||
\(839\) | 33.1517 | − | 19.1402i | 1.14452 | − | 0.660792i | 0.196978 | − | 0.980408i | \(-0.436887\pi\) |
0.947547 | + | 0.319616i | \(0.103554\pi\) | |||||||
\(840\) | −28.4201 | − | 19.7046i | −0.980587 | − | 0.679873i | ||||
\(841\) | 24.8337 | + | 14.3377i | 0.856333 | + | 0.494404i | ||||
\(842\) | 8.35418 | − | 8.84362i | 0.287904 | − | 0.304771i | ||||
\(843\) | −20.5996 | + | 14.6257i | −0.709489 | + | 0.503736i | ||||
\(844\) | 4.59836 | + | 4.10271i | 0.158282 | + | 0.141221i | ||||
\(845\) | −17.6286 | − | 17.6286i | −0.606443 | − | 0.606443i | ||||
\(846\) | 2.67206 | − | 0.586486i | 0.0918672 | − | 0.0201638i | ||||
\(847\) | −4.93760 | −0.169658 | ||||||||
\(848\) | −15.7701 | − | 39.9923i | −0.541546 | − | 1.37334i | ||||
\(849\) | −3.09161 | − | 8.32435i | −0.106104 | − | 0.285691i | ||||
\(850\) | 0.0164120 | + | 0.576682i | 0.000562929 | + | 0.0197800i | ||||
\(851\) | −15.1496 | + | 4.05933i | −0.519322 | + | 0.139152i | ||||
\(852\) | 13.0357 | − | 10.4193i | 0.446594 | − | 0.356958i | ||||
\(853\) | 22.4484 | + | 6.01502i | 0.768617 | + | 0.205950i | 0.621760 | − | 0.783207i | \(-0.286418\pi\) |
0.146857 | + | 0.989158i | \(0.453084\pi\) | |||||||
\(854\) | −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 | \(-0.819565\pi\) |
0.0432406 | + | 0.999065i | \(0.486232\pi\) | |||||||
\(858\) | −4.93362 | + | 11.6256i | −0.168431 | + | 0.396891i | ||||
\(859\) | 2.41487 | + | 9.01240i | 0.0823942 | + | 0.307499i | 0.994808 | − | 0.101770i | \(-0.0324505\pi\) |
−0.912414 | + | 0.409269i | \(0.865784\pi\) | |||||||
\(860\) | −41.7128 | + | 27.3588i | −1.42239 | + | 0.932929i | ||||
\(861\) | −50.0399 | + | 4.70783i | −1.70536 | + | 0.160442i | ||||
\(862\) | 4.71673 | − | 8.73440i | 0.160653 | − | 0.297495i | ||||
\(863\) | 9.58431 | 0.326254 | 0.163127 | − | 0.986605i | \(-0.447842\pi\) | ||||
0.163127 | + | 0.986605i | \(0.447842\pi\) | |||||||
\(864\) | −23.8627 | − | 17.1630i | −0.811827 | − | 0.583899i | ||||
\(865\) | 1.30041 | 0.0442153 | ||||||||
\(866\) | −16.9849 | + | 31.4525i | −0.577171 | + | 1.06880i | ||||
\(867\) | −24.3541 | + | 2.29127i | −0.827109 | + | 0.0778156i | ||||
\(868\) | 37.0583 | − | 24.3061i | 1.25784 | − | 0.825002i | ||||
\(869\) | 14.5330 | + | 54.2379i | 0.492999 | + | 1.83990i | ||||
\(870\) | −1.24795 | + | 2.94068i | −0.0423096 | + | 0.0996985i | ||||
\(871\) | 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 | ||||
\(875\) | −32.4534 | − | 8.69586i | −1.09712 | − | 0.293974i | ||||
\(876\) | −0.0688468 | + | 0.0550285i | −0.00232612 | + | 0.00185924i | ||||
\(877\) | 1.71534 | − | 0.459624i | 0.0579229 | − | 0.0155204i | −0.229741 | − | 0.973252i | \(-0.573788\pi\) |
0.287664 | + | 0.957731i | \(0.407121\pi\) | |||||||
\(878\) | 1.03760 | + | 36.4590i | 0.0350173 | + | 1.23043i | ||||
\(879\) | 6.15079 | + | 16.5614i | 0.207461 | + | 0.558603i | ||||
\(880\) | −29.8139 | − | 12.9507i | −1.00503 | − | 0.436567i | ||||
\(881\) | −40.6146 | −1.36834 | −0.684170 | − | 0.729323i | \(-0.739835\pi\) | ||||
−0.684170 | + | 0.729323i | \(0.739835\pi\) | |||||||
\(882\) | 7.17514 | + | 7.86344i | 0.241600 | + | 0.264776i | ||||
\(883\) | 17.0909 | + | 17.0909i | 0.575154 | + | 0.575154i | 0.933564 | − | 0.358410i | \(-0.116681\pi\) |
−0.358410 | + | 0.933564i | \(0.616681\pi\) | |||||||
\(884\) | 3.67653 | + | 3.28024i | 0.123655 | + | 0.110326i | ||||
\(885\) | 19.4808 | − | 13.8313i | 0.654842 | − | 0.464936i | ||||
\(886\) | 4.79936 | − | 5.08054i | 0.161238 | − | 0.170684i | ||||
\(887\) | −10.1059 | − | 5.83462i | −0.339322 | − | 0.195907i | 0.320650 | − | 0.947198i | \(-0.396099\pi\) |
−0.659972 | + | 0.751290i | \(0.729432\pi\) | |||||||
\(888\) | 10.2531 | − | 14.7882i | 0.344073 | − | 0.496259i | ||||
\(889\) | 29.5771 | − | 17.0764i | 0.991986 | − | 0.572723i | ||||
\(890\) | −0.966154 | + | 4.06498i | −0.0323856 | + | 0.136259i | ||||
\(891\) | 31.7431 | − | 3.61588i | 1.06343 | − | 0.121137i | ||||
\(892\) | 10.6088 | − | 21.0569i | 0.355208 | − | 0.705036i | ||||
\(893\) | −1.27890 | + | 4.77293i | −0.0427968 | + | 0.159720i | ||||
\(894\) | 37.5170 | + | 5.26945i | 1.25475 | + | 0.176237i | ||||
\(895\) | −0.721820 | + | 1.25023i | −0.0241278 | + | 0.0417905i | ||||
\(896\) | −6.90249 | − | 34.1982i | −0.230596 | − | 1.14248i | ||||
\(897\) | −10.5903 | − | 1.79604i | −0.353600 | − | 0.0599680i | ||||
\(898\) | 4.62590 | − | 8.56621i | 0.154368 | − | 0.285858i | ||||
\(899\) | −2.89476 | − | 2.89476i | −0.0965458 | − | 0.0965458i | ||||
\(900\) | 1.38719 | + | 0.397519i | 0.0462397 | + | 0.0132506i | ||||
\(901\) | 12.8902 | − | 12.8902i | 0.429435 | − | 0.429435i | ||||
\(902\) | −45.2653 | + | 13.5201i | −1.50717 | + | 0.450171i | ||||
\(903\) | 54.5532 | − | 20.2607i | 1.81542 | − | 0.674233i | ||||
\(904\) | −16.5841 | + | 35.3879i | −0.551578 | + | 1.17698i | ||||
\(905\) | 25.4707 | + | 14.7055i | 0.846675 | + | 0.488828i | ||||
\(906\) | 0.500048 | + | 4.06973i | 0.0166130 | + | 0.135208i | ||||
\(907\) | −35.9186 | − | 9.62435i | −1.19266 | − | 0.319571i | −0.392721 | − | 0.919658i | \(-0.628466\pi\) |
−0.799935 | + | 0.600086i | \(0.795133\pi\) | |||||||
\(908\) | 50.4572 | − | 16.6484i | 1.67448 | − | 0.552495i | ||||
\(909\) | −38.1856 | − | 2.83815i | −1.26654 | − | 0.0941354i | ||||
\(910\) | 12.3459 | − | 7.60419i | 0.409262 | − | 0.252077i | ||||
\(911\) | −1.10222 | − | 1.90911i | −0.0365183 | − | 0.0632516i | 0.847189 | − | 0.531292i | \(-0.178293\pi\) |
−0.883707 | + | 0.468041i | \(0.844960\pi\) | |||||||
\(912\) | 47.3499 | − | 24.0171i | 1.56791 | − | 0.795287i | ||||
\(913\) | −17.1828 | + | 29.7614i | −0.568666 | + | 0.984959i | ||||
\(914\) | 0.255335 | + | 8.97189i | 0.00844572 | + | 0.296764i | ||||
\(915\) | 15.8839 | − | 1.49438i | 0.525107 | − | 0.0494028i | ||||
\(916\) | 22.6743 | − | 25.4136i | 0.749180 | − | 0.839690i | ||||
\(917\) | 3.45840 | − | 3.45840i | 0.114206 | − | 0.114206i | ||||
\(918\) | 2.64379 | − | 12.1808i | 0.0872582 | − | 0.402026i | ||||
\(919\) | 37.2447i | 1.22859i | 0.789077 | + | 0.614294i | \(0.210559\pi\) | ||||
−0.789077 | + | 0.614294i | \(0.789441\pi\) | |||||||
\(920\) | 4.85285 | − | 27.2176i | 0.159994 | − | 0.897338i | ||||
\(921\) | −26.0795 | − | 21.5942i | −0.859347 | − | 0.711555i | ||||
\(922\) | 15.2290 | + | 14.3862i | 0.501542 | + | 0.473784i | ||||
\(923\) | 1.81093 | + | 6.75849i | 0.0596075 | + | 0.222458i | ||||
\(924\) | 30.5351 | + | 22.4837i | 1.00453 | + | 0.739658i | ||||
\(925\) | −0.228646 | + | 0.853318i | −0.00751783 | + | 0.0280569i | ||||
\(926\) | 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 | −0.926479 | − | 0.376347i | \(-0.877180\pi\) |
0.137314 | − | 0.990528i | \(-0.456153\pi\) | |||||||
\(930\) | −24.8051 | + | 31.7546i | −0.813392 | + | 1.04127i | ||||
\(931\) | −18.5724 | + | 4.97646i | −0.608686 | + | 0.163097i | ||||
\(932\) | 3.68979 | − | 2.42008i | 0.120863 | − | 0.0792725i | ||||
\(933\) | 3.77491 | + | 1.73031i | 0.123585 | + | 0.0566478i | ||||
\(934\) | 24.3786 | − | 7.28155i | 0.797692 | − | 0.238260i | ||||
\(935\) | − | 13.7837i | − | 0.450777i | ||||||
\(936\) | 10.6036 | − | 6.28089i | 0.346589 | − | 0.205297i | ||||
\(937\) | − | 24.8374i | − | 0.811403i | −0.914006 | − | 0.405701i | \(-0.867027\pi\) | ||
0.914006 | − | 0.405701i | \(-0.132973\pi\) | |||||||
\(938\) | −5.19538 | − | 17.3941i | −0.169635 | − | 0.567938i | ||||
\(939\) | 18.1728 | − | 12.9026i | 0.593046 | − | 0.421061i | ||||
\(940\) | −2.89043 | − | 0.600666i | −0.0942754 | − | 0.0195916i | ||||
\(941\) | 52.8385 | − | 14.1580i | 1.72249 | − | 0.461539i | 0.744057 | − | 0.668116i | \(-0.232899\pi\) |
0.978430 | + | 0.206577i | \(0.0662324\pi\) | |||||||
\(942\) | −1.69000 | + | 12.0323i | −0.0550632 | + | 0.392034i | ||||
\(943\) | −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 | ||||
\(947\) | −3.20902 | + | 11.9762i | −0.104279 | + | 0.389175i | −0.998262 | − | 0.0589255i | \(-0.981233\pi\) |
0.893983 | + | 0.448100i | \(0.147899\pi\) | |||||||
\(948\) | 19.9624 | − | 51.0297i | 0.648349 | − | 1.65737i | ||||
\(949\) | −0.00956429 | − | 0.0356944i | −0.000310470 | − | 0.00115869i | ||||
\(950\) | −1.78987 | + | 1.89474i | −0.0580712 | + | 0.0614734i | ||||
\(951\) | −1.83245 | + | 10.8050i | −0.0594214 | + | 0.350377i | ||||
\(952\) | 12.1348 | − | 8.46237i | 0.393291 | − | 0.274267i | ||||
\(953\) | 29.8142i | 0.965777i | 0.875682 | + | 0.482889i | \(0.160412\pi\) | ||||
−0.875682 | + | 0.482889i | \(0.839588\pi\) | |||||||
\(954\) | −20.9692 | − | 40.4893i | −0.678904 | − | 1.31089i | ||||
\(955\) | 22.5477 | − | 22.5477i | 0.729627 | − | 0.729627i | ||||
\(956\) | −16.9726 | + | 0.966846i | −0.548934 | + | 0.0312700i | ||||
\(957\) | 1.45954 | − | 3.18420i | 0.0471803 | − | 0.102930i | ||||
\(958\) | −57.5707 | + | 1.63843i | −1.86002 | + | 0.0529352i | ||||
\(959\) | −23.0033 | + | 39.8429i | −0.742816 | + | 1.28660i | ||||
\(960\) | 15.9347 | + | 27.4274i | 0.514291 | + | 0.885215i | ||||
\(961\) | −10.3189 | − | 17.8728i | −0.332867 | − | 0.576543i | ||||
\(962\) | 3.95678 | + | 6.42407i | 0.127572 | + | 0.207120i | ||||
\(963\) | −8.20492 | + | 12.0502i | −0.264400 | + | 0.388313i | ||||
\(964\) | −16.3663 | + | 32.4848i | −0.527125 | + | 1.04627i | ||||
\(965\) | −2.93971 | − | 0.787692i | −0.0946326 | − | 0.0253567i | ||||
\(966\) | −12.5994 | + | 29.6893i | −0.405379 | + | 0.955237i | ||||
\(967\) | 46.7737 | + | 27.0048i | 1.50414 | + | 0.868415i | 0.999988 | + | 0.00479994i | \(0.00152787\pi\) |
0.504151 | + | 0.863615i | \(0.331805\pi\) | |||||||
\(968\) | 4.10091 | + | 1.92184i | 0.131808 | + | 0.0617701i | ||||
\(969\) | 17.3409 | + | 14.3585i | 0.557069 | + | 0.461263i | ||||
\(970\) | −7.99173 | − | 26.7563i | −0.256599 | − | 0.859092i | ||||
\(971\) | 21.6802 | − | 21.6802i | 0.695752 | − | 0.695752i | −0.267739 | − | 0.963491i | \(-0.586277\pi\) |
0.963491 | + | 0.267739i | \(0.0862766\pi\) | |||||||
\(972\) | −27.0363 | − | 15.5255i | −0.867189 | − | 0.497980i | ||||
\(973\) | −27.3860 | − | 27.3860i | −0.877956 | − | 0.877956i | ||||
\(974\) | −42.2747 | − | 22.8291i | −1.35457 | − | 0.731491i | ||||
\(975\) | −0.385865 | + | 0.466011i | −0.0123576 | + | 0.0149243i | ||||
\(976\) | 12.5995 | + | 10.0147i | 0.403300 | + | 0.320562i | ||||
\(977\) | 24.6985 | − | 42.7791i | 0.790175 | − | 1.36862i | −0.135683 | − | 0.990752i | \(-0.543323\pi\) |
0.925858 | − | 0.377871i | \(-0.123344\pi\) | |||||||
\(978\) | −11.0091 | + | 4.44903i | −0.352031 | + | 0.142264i | ||||
\(979\) | 1.18575 | − | 4.42527i | 0.0378967 | − | 0.141432i | ||||
\(980\) | −3.59945 | − | 10.9090i | −0.114980 | − | 0.348477i | ||||
\(981\) | −37.6747 | − | 25.6525i | −1.20286 | − | 0.819020i | ||||
\(982\) | −44.6082 | − | 10.6024i | −1.42350 | − | 0.338335i | ||||
\(983\) | −33.4990 | + | 19.3407i | −1.06845 | + | 0.616871i | −0.927758 | − | 0.373182i | \(-0.878267\pi\) |
−0.140694 | + | 0.990053i | \(0.544933\pi\) | |||||||
\(984\) | 43.3929 | + | 15.5667i | 1.38332 | + | 0.496248i | ||||
\(985\) | 47.0903 | + | 27.1876i | 1.50042 | + | 0.866268i | ||||
\(986\) | −0.993414 | − | 0.938435i | −0.0316368 | − | 0.0298859i | ||||
\(987\) | 3.13072 | + | 1.43503i | 0.0996520 | + | 0.0456776i | ||||
\(988\) | 1.26602 | + | 22.2245i | 0.0402775 | + | 0.707057i | ||||
\(989\) | 32.8964 | + | 32.8964i | 1.04604 | + | 1.04604i | ||||
\(990\) | −32.8594 | − | 10.4366i | −1.04434 | − | 0.331696i | ||||
\(991\) | −18.5544 | −0.589400 | −0.294700 | − | 0.955590i | \(-0.595220\pi\) | ||||
−0.294700 | + | 0.955590i | \(0.595220\pi\) | |||||||
\(992\) | −40.2392 | + | 5.76331i | −1.27760 | + | 0.182985i | ||||
\(993\) | 1.88958 | + | 0.320459i | 0.0599641 | + | 0.0101695i | ||||
\(994\) | 21.0001 | − | 0.597652i | 0.666083 | − | 0.0189564i | ||||
\(995\) | 6.35996 | − | 1.70415i | 0.201624 | − | 0.0540251i | ||||
\(996\) | 30.7227 | − | 13.4447i | 0.973485 | − | 0.426013i | ||||
\(997\) | 36.7481 | + | 9.84662i | 1.16382 | + | 0.311846i | 0.788492 | − | 0.615045i | \(-0.210862\pi\) |
0.375332 | + | 0.926890i | \(0.377529\pi\) | |||||||
\(998\) | −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.13.5 | ✓ | 72 | |
3.2 | odd | 2 | 432.2.y.e.253.14 | 72 | |||
4.3 | odd | 2 | 576.2.bb.e.337.1 | 72 | |||
9.2 | odd | 6 | 432.2.y.e.397.1 | 72 | |||
9.7 | even | 3 | inner | 144.2.x.e.61.18 | yes | 72 | |
12.11 | even | 2 | 1728.2.bc.e.145.4 | 72 | |||
16.5 | even | 4 | inner | 144.2.x.e.85.18 | yes | 72 | |
16.11 | odd | 4 | 576.2.bb.e.49.8 | 72 | |||
36.7 | odd | 6 | 576.2.bb.e.529.8 | 72 | |||
36.11 | even | 6 | 1728.2.bc.e.721.15 | 72 | |||
48.5 | odd | 4 | 432.2.y.e.37.1 | 72 | |||
48.11 | even | 4 | 1728.2.bc.e.1009.15 | 72 | |||
144.11 | even | 12 | 1728.2.bc.e.1585.4 | 72 | |||
144.43 | odd | 12 | 576.2.bb.e.241.1 | 72 | |||
144.101 | odd | 12 | 432.2.y.e.181.14 | 72 | |||
144.133 | even | 12 | inner | 144.2.x.e.133.5 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.x.e.13.5 | ✓ | 72 | 1.1 | even | 1 | trivial | |
144.2.x.e.61.18 | yes | 72 | 9.7 | even | 3 | inner | |
144.2.x.e.85.18 | yes | 72 | 16.5 | even | 4 | inner | |
144.2.x.e.133.5 | yes | 72 | 144.133 | even | 12 | inner | |
432.2.y.e.37.1 | 72 | 48.5 | odd | 4 | |||
432.2.y.e.181.14 | 72 | 144.101 | odd | 12 | |||
432.2.y.e.253.14 | 72 | 3.2 | odd | 2 | |||
432.2.y.e.397.1 | 72 | 9.2 | odd | 6 | |||
576.2.bb.e.49.8 | 72 | 16.11 | odd | 4 | |||
576.2.bb.e.241.1 | 72 | 144.43 | odd | 12 | |||
576.2.bb.e.337.1 | 72 | 4.3 | odd | 2 | |||
576.2.bb.e.529.8 | 72 | 36.7 | odd | 6 | |||
1728.2.bc.e.145.4 | 72 | 12.11 | even | 2 | |||
1728.2.bc.e.721.15 | 72 | 36.11 | even | 6 | |||
1728.2.bc.e.1009.15 | 72 | 48.11 | even | 4 | |||
1728.2.bc.e.1585.4 | 72 | 144.11 | even | 12 |