Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [245,2,Mod(3,245)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(245, base_ring=CyclotomicField(84))
chi = DirichletCharacter(H, H._module([63, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("245.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 245 = 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 245.x (of order \(84\), degree \(24\), 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: | \(1.95633484952\) |
Analytic rank: | \(0\) |
Dimension: | \(624\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{84})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{84}]$ |
Embedding invariants
Embedding label | 222.10 | ||
Character | \(\chi\) | \(=\) | 245.222 |
Dual form | 245.2.x.a.213.10 |
$q$-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 \(\left(\mathbb{Z}/245\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) |
\(\chi(n)\) | \(e\left(\frac{17}{42}\right)\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.683227 | + | 0.587964i | −0.483114 | + | 0.415753i | −0.859834 | − | 0.510574i | \(-0.829433\pi\) |
0.376720 | + | 0.926327i | \(0.377052\pi\) | |||||||
\(3\) | 0.927817 | + | 0.490365i | 0.535675 | + | 0.283113i | 0.713148 | − | 0.701013i | \(-0.247269\pi\) |
−0.177473 | + | 0.984126i | \(0.556792\pi\) | |||||||
\(4\) | −0.176988 | + | 1.17424i | −0.0884938 | + | 0.587118i | ||||
\(5\) | 2.00985 | + | 0.980053i | 0.898832 | + | 0.438293i | ||||
\(6\) | −0.922226 | + | 0.210492i | −0.376497 | + | 0.0859331i | ||||
\(7\) | 2.03990 | + | 1.68488i | 0.771010 | + | 0.636823i | ||||
\(8\) | −1.52862 | − | 2.43279i | −0.540449 | − | 0.860120i | ||||
\(9\) | −1.06957 | − | 1.56878i | −0.356525 | − | 0.522926i | ||||
\(10\) | −1.94942 | + | 0.512121i | −0.616460 | + | 0.161947i | ||||
\(11\) | 2.01168 | + | 1.37154i | 0.606545 | + | 0.413535i | 0.827273 | − | 0.561800i | \(-0.189891\pi\) |
−0.220728 | + | 0.975335i | \(0.570843\pi\) | |||||||
\(12\) | −0.740017 | + | 1.00269i | −0.213624 | + | 0.289451i | ||||
\(13\) | −2.05883 | − | 0.720417i | −0.571018 | − | 0.199808i | 0.0292982 | − | 0.999571i | \(-0.490673\pi\) |
−0.600316 | + | 0.799763i | \(0.704958\pi\) | |||||||
\(14\) | −2.38436 | + | 0.0482368i | −0.637247 | + | 0.0128918i | ||||
\(15\) | 1.38419 | + | 1.89487i | 0.357396 | + | 0.489253i | ||||
\(16\) | 0.205301 | + | 0.0633270i | 0.0513253 | + | 0.0158317i | ||||
\(17\) | −1.43259 | − | 3.28352i | −0.347453 | − | 0.796371i | −0.999278 | − | 0.0380011i | \(-0.987901\pi\) |
0.651825 | − | 0.758370i | \(-0.274004\pi\) | |||||||
\(18\) | 1.65315 | + | 0.442959i | 0.389650 | + | 0.104407i | ||||
\(19\) | −1.63975 | + | 2.84013i | −0.376185 | + | 0.651572i | −0.990504 | − | 0.137487i | \(-0.956098\pi\) |
0.614319 | + | 0.789058i | \(0.289431\pi\) | |||||||
\(20\) | −1.50653 | + | 2.18658i | −0.336871 | + | 0.488934i | ||||
\(21\) | 1.06645 | + | 2.56355i | 0.232718 | + | 0.559413i | ||||
\(22\) | −2.18085 | + | 0.245723i | −0.464959 | + | 0.0523883i | ||||
\(23\) | 3.67273 | + | 1.60240i | 0.765818 | + | 0.334123i | 0.746232 | − | 0.665685i | \(-0.231861\pi\) |
0.0195851 | + | 0.999808i | \(0.493765\pi\) | |||||||
\(24\) | −0.225326 | − | 3.00676i | −0.0459944 | − | 0.613753i | ||||
\(25\) | 3.07899 | + | 3.93952i | 0.615799 | + | 0.787904i | ||||
\(26\) | 1.83023 | − | 0.718312i | 0.358938 | − | 0.140873i | ||||
\(27\) | −0.575591 | − | 5.10851i | −0.110773 | − | 0.983134i | ||||
\(28\) | −2.33948 | + | 2.09712i | −0.442120 | + | 0.396319i | ||||
\(29\) | −3.16908 | + | 2.52726i | −0.588484 | + | 0.469300i | −0.871891 | − | 0.489699i | \(-0.837107\pi\) |
0.283408 | + | 0.959000i | \(0.408535\pi\) | |||||||
\(30\) | −2.05983 | − | 0.480773i | −0.376072 | − | 0.0877767i | ||||
\(31\) | 1.72960 | − | 0.998587i | 0.310646 | − | 0.179351i | −0.336570 | − | 0.941659i | \(-0.609267\pi\) |
0.647215 | + | 0.762307i | \(0.275933\pi\) | |||||||
\(32\) | 5.08938 | − | 2.22048i | 0.899685 | − | 0.392528i | ||||
\(33\) | 1.19392 | + | 2.25900i | 0.207834 | + | 0.393241i | ||||
\(34\) | 2.90937 | + | 1.40108i | 0.498953 | + | 0.240283i | ||||
\(35\) | 2.44863 | + | 5.38556i | 0.413894 | + | 0.910325i | ||||
\(36\) | 2.03142 | − | 0.978279i | 0.338570 | − | 0.163046i | ||||
\(37\) | −7.07954 | − | 5.22494i | −1.16387 | − | 0.858974i | −0.171857 | − | 0.985122i | \(-0.554977\pi\) |
−0.992011 | + | 0.126148i | \(0.959739\pi\) | |||||||
\(38\) | −0.549575 | − | 2.90457i | −0.0891528 | − | 0.471184i | ||||
\(39\) | −1.55695 | − | 1.67800i | −0.249312 | − | 0.268694i | ||||
\(40\) | −0.688039 | − | 6.38766i | −0.108789 | − | 1.00998i | ||||
\(41\) | 6.00868 | + | 1.37144i | 0.938398 | + | 0.214183i | 0.664255 | − | 0.747506i | \(-0.268749\pi\) |
0.274143 | + | 0.961689i | \(0.411606\pi\) | |||||||
\(42\) | −2.23590 | − | 1.12445i | −0.345007 | − | 0.173507i | ||||
\(43\) | −4.96723 | − | 3.12112i | −0.757495 | − | 0.475966i | 0.0970908 | − | 0.995276i | \(-0.469046\pi\) |
−0.854586 | + | 0.519310i | \(0.826189\pi\) | |||||||
\(44\) | −1.96656 | + | 2.11944i | −0.296469 | + | 0.319518i | ||||
\(45\) | −0.612199 | − | 4.20125i | −0.0912613 | − | 0.626285i | ||||
\(46\) | −3.45146 | + | 1.06463i | −0.508890 | + | 0.156972i | ||||
\(47\) | −3.54380 | − | 4.11797i | −0.516916 | − | 0.600668i | 0.437473 | − | 0.899231i | \(-0.355873\pi\) |
−0.954390 | + | 0.298564i | \(0.903492\pi\) | |||||||
\(48\) | 0.159428 | + | 0.159428i | 0.0230115 | + | 0.0230115i | ||||
\(49\) | 1.32239 | + | 6.87396i | 0.188913 | + | 0.981994i | ||||
\(50\) | −4.41995 | − | 0.881247i | −0.625075 | − | 0.124627i | ||||
\(51\) | 0.280948 | − | 3.74900i | 0.0393406 | − | 0.524964i | ||||
\(52\) | 1.21033 | − | 2.29005i | 0.167842 | − | 0.317573i | ||||
\(53\) | 7.67745 | − | 5.66622i | 1.05458 | − | 0.778315i | 0.0787597 | − | 0.996894i | \(-0.474904\pi\) |
0.975819 | + | 0.218579i | \(0.0701421\pi\) | |||||||
\(54\) | 3.39688 | + | 3.15185i | 0.462257 | + | 0.428912i | ||||
\(55\) | 2.69899 | + | 4.72815i | 0.363932 | + | 0.637543i | ||||
\(56\) | 0.980706 | − | 7.53818i | 0.131052 | − | 1.00733i | ||||
\(57\) | −2.91409 | + | 1.83105i | −0.385981 | + | 0.242528i | ||||
\(58\) | 0.679264 | − | 3.59000i | 0.0891917 | − | 0.471390i | ||||
\(59\) | 10.1962 | − | 9.46068i | 1.32743 | − | 1.23168i | 0.374962 | − | 0.927040i | \(-0.377656\pi\) |
0.952469 | − | 0.304635i | \(-0.0985346\pi\) | |||||||
\(60\) | −2.47001 | + | 1.29000i | −0.318877 | + | 0.166538i | ||||
\(61\) | 1.10005 | + | 7.29837i | 0.140847 | + | 0.934461i | 0.941906 | + | 0.335875i | \(0.109032\pi\) |
−0.801059 | + | 0.598585i | \(0.795730\pi\) | |||||||
\(62\) | −0.594578 | + | 1.69921i | −0.0755114 | + | 0.215799i | ||||
\(63\) | 0.461369 | − | 5.00225i | 0.0581270 | − | 0.630224i | ||||
\(64\) | −2.35808 | + | 4.89660i | −0.294760 | + | 0.612075i | ||||
\(65\) | −3.43190 | − | 3.46570i | −0.425675 | − | 0.429867i | ||||
\(66\) | −2.14392 | − | 0.841428i | −0.263899 | − | 0.103573i | ||||
\(67\) | 3.93468 | − | 14.6844i | 0.480697 | − | 1.79399i | −0.118002 | − | 0.993013i | \(-0.537649\pi\) |
0.598700 | − | 0.800974i | \(-0.295684\pi\) | |||||||
\(68\) | 4.10918 | − | 1.10105i | 0.498311 | − | 0.133522i | ||||
\(69\) | 2.62186 | + | 3.28771i | 0.315635 | + | 0.395794i | ||||
\(70\) | −4.83948 | − | 2.23985i | −0.578429 | − | 0.267713i | ||||
\(71\) | −3.00724 | + | 3.77096i | −0.356894 | + | 0.447531i | −0.927573 | − | 0.373643i | \(-0.878109\pi\) |
0.570679 | + | 0.821173i | \(0.306680\pi\) | |||||||
\(72\) | −2.18153 | + | 5.00011i | −0.257095 | + | 0.589269i | ||||
\(73\) | 0.798581 | − | 0.927968i | 0.0934669 | − | 0.108610i | −0.709290 | − | 0.704916i | \(-0.750985\pi\) |
0.802757 | + | 0.596306i | \(0.203365\pi\) | |||||||
\(74\) | 7.90900 | − | 0.592698i | 0.919403 | − | 0.0688997i | ||||
\(75\) | 0.924938 | + | 5.16498i | 0.106803 | + | 0.596401i | ||||
\(76\) | −3.04477 | − | 2.42812i | −0.349259 | − | 0.278525i | ||||
\(77\) | 1.79275 | + | 6.18724i | 0.204303 | + | 0.705101i | ||||
\(78\) | 2.05035 | + | 0.231019i | 0.232157 | + | 0.0261578i | ||||
\(79\) | −9.25348 | − | 5.34250i | −1.04110 | − | 0.601078i | −0.120954 | − | 0.992658i | \(-0.538595\pi\) |
−0.920144 | + | 0.391580i | \(0.871929\pi\) | |||||||
\(80\) | 0.350561 | + | 0.328484i | 0.0391939 | + | 0.0367256i | ||||
\(81\) | −0.110022 | + | 0.280330i | −0.0122246 | + | 0.0311478i | ||||
\(82\) | −4.91165 | + | 2.59588i | −0.542401 | + | 0.286667i | ||||
\(83\) | −1.08357 | − | 3.09667i | −0.118937 | − | 0.339904i | 0.868988 | − | 0.494833i | \(-0.164771\pi\) |
−0.987926 | + | 0.154929i | \(0.950485\pi\) | |||||||
\(84\) | −3.19896 | + | 0.798547i | −0.349036 | + | 0.0871286i | ||||
\(85\) | 0.338742 | − | 8.00339i | 0.0367417 | − | 0.868090i | ||||
\(86\) | 5.22885 | − | 0.788122i | 0.563841 | − | 0.0849854i | ||||
\(87\) | −4.17961 | + | 0.790824i | −0.448101 | + | 0.0847853i | ||||
\(88\) | 0.261568 | − | 6.99056i | 0.0278833 | − | 0.745196i | ||||
\(89\) | 6.39305 | − | 4.35871i | 0.677662 | − | 0.462022i | −0.174942 | − | 0.984579i | \(-0.555974\pi\) |
0.852605 | + | 0.522556i | \(0.175022\pi\) | |||||||
\(90\) | 2.88845 | + | 2.51045i | 0.304470 | + | 0.264625i | ||||
\(91\) | −2.98600 | − | 4.93846i | −0.313018 | − | 0.517691i | ||||
\(92\) | −2.53162 | + | 4.02905i | −0.263940 | + | 0.420058i | ||||
\(93\) | 2.09443 | − | 0.0783679i | 0.217182 | − | 0.00812637i | ||||
\(94\) | 4.84244 | + | 0.729880i | 0.499459 | + | 0.0752814i | ||||
\(95\) | −6.07914 | + | 4.10120i | −0.623706 | + | 0.420774i | ||||
\(96\) | 5.81086 | + | 0.435464i | 0.593068 | + | 0.0444443i | ||||
\(97\) | −3.49102 | + | 3.49102i | −0.354459 | + | 0.354459i | −0.861766 | − | 0.507307i | \(-0.830641\pi\) |
0.507307 | + | 0.861766i | \(0.330641\pi\) | |||||||
\(98\) | −4.94513 | − | 3.91895i | −0.499534 | − | 0.395874i | ||||
\(99\) | − | 4.62285i | − | 0.464614i | ||||||
\(100\) | −5.17087 | + | 2.91822i | −0.517087 | + | 0.291822i | ||||
\(101\) | 3.35375 | + | 10.8726i | 0.333711 | + | 1.08186i | 0.954581 | + | 0.297950i | \(0.0963030\pi\) |
−0.620871 | + | 0.783913i | \(0.713221\pi\) | |||||||
\(102\) | 2.01232 | + | 2.72660i | 0.199250 | + | 0.269974i | ||||
\(103\) | 0.487855 | + | 13.0382i | 0.0480697 | + | 1.28469i | 0.789538 | + | 0.613702i | \(0.210320\pi\) |
−0.741468 | + | 0.670988i | \(0.765870\pi\) | |||||||
\(104\) | 1.39456 | + | 6.10995i | 0.136747 | + | 0.599130i | ||||
\(105\) | −0.369013 | + | 6.19753i | −0.0360120 | + | 0.604817i | ||||
\(106\) | −1.91391 | + | 8.38538i | −0.185895 | + | 0.814460i | ||||
\(107\) | 11.1146 | + | 2.10299i | 1.07449 | + | 0.203304i | 0.692903 | − | 0.721031i | \(-0.256331\pi\) |
0.381583 | + | 0.924334i | \(0.375379\pi\) | |||||||
\(108\) | 6.10047 | + | 0.228264i | 0.587018 | + | 0.0219647i | ||||
\(109\) | −7.48180 | + | 10.9738i | −0.716626 | + | 1.05110i | 0.279236 | + | 0.960223i | \(0.409919\pi\) |
−0.995862 | + | 0.0908754i | \(0.971033\pi\) | |||||||
\(110\) | −4.62400 | − | 1.64348i | −0.440882 | − | 0.156700i | ||||
\(111\) | −4.00638 | − | 8.31934i | −0.380269 | − | 0.789637i | ||||
\(112\) | 0.312096 | + | 0.475087i | 0.0294903 | + | 0.0448915i | ||||
\(113\) | −3.48238 | + | 1.21854i | −0.327595 | + | 0.114630i | −0.489065 | − | 0.872247i | \(-0.662662\pi\) |
0.161471 | + | 0.986878i | \(0.448376\pi\) | |||||||
\(114\) | 0.914397 | − | 2.96440i | 0.0856411 | − | 0.277642i | ||||
\(115\) | 5.81121 | + | 6.82005i | 0.541898 | + | 0.635973i | ||||
\(116\) | −2.40671 | − | 4.16854i | −0.223457 | − | 0.387040i | ||||
\(117\) | 1.07190 | + | 4.00039i | 0.0990974 | + | 0.369836i | ||||
\(118\) | −1.40377 | + | 12.4588i | −0.129227 | + | 1.14692i | ||||
\(119\) | 2.60999 | − | 9.11179i | 0.239257 | − | 0.835276i | ||||
\(120\) | 2.49392 | − | 6.26397i | 0.227662 | − | 0.571820i | ||||
\(121\) | −1.85301 | − | 4.72140i | −0.168456 | − | 0.429219i | ||||
\(122\) | −5.04277 | − | 4.33965i | −0.456551 | − | 0.392894i | ||||
\(123\) | 4.90244 | + | 4.21889i | 0.442038 | + | 0.380405i | ||||
\(124\) | 0.866458 | + | 2.20770i | 0.0778102 | + | 0.198257i | ||||
\(125\) | 2.32738 | + | 10.9354i | 0.208167 | + | 0.978093i | ||||
\(126\) | 2.62592 | + | 3.68894i | 0.233936 | + | 0.328637i | ||||
\(127\) | −0.725433 | + | 6.43840i | −0.0643718 | + | 0.571315i | 0.919583 | + | 0.392896i | \(0.128527\pi\) |
−0.983955 | + | 0.178419i | \(0.942902\pi\) | |||||||
\(128\) | 1.60636 | + | 5.99501i | 0.141983 | + | 0.529889i | ||||
\(129\) | −3.07819 | − | 5.33158i | −0.271020 | − | 0.469420i | ||||
\(130\) | 4.38247 | + | 0.350022i | 0.384368 | + | 0.0306990i | ||||
\(131\) | 2.39167 | − | 7.75361i | 0.208961 | − | 0.677436i | −0.789046 | − | 0.614335i | \(-0.789425\pi\) |
0.998007 | − | 0.0631018i | \(-0.0200993\pi\) | |||||||
\(132\) | −2.86390 | + | 1.00212i | −0.249271 | + | 0.0872237i | ||||
\(133\) | −8.13020 | + | 3.03081i | −0.704978 | + | 0.262805i | ||||
\(134\) | 5.94563 | + | 12.3462i | 0.513624 | + | 1.06655i | ||||
\(135\) | 3.84976 | − | 10.8315i | 0.331335 | − | 0.932223i | ||||
\(136\) | −5.79822 | + | 8.50443i | −0.497194 | + | 0.729249i | ||||
\(137\) | −10.4559 | − | 0.391234i | −0.893311 | − | 0.0334253i | −0.413207 | − | 0.910637i | \(-0.635592\pi\) |
−0.480104 | + | 0.877212i | \(0.659401\pi\) | |||||||
\(138\) | −3.72438 | − | 0.704691i | −0.317040 | − | 0.0599873i | ||||
\(139\) | −2.70244 | + | 11.8402i | −0.229218 | + | 1.00427i | 0.721061 | + | 0.692871i | \(0.243655\pi\) |
−0.950279 | + | 0.311399i | \(0.899203\pi\) | |||||||
\(140\) | −6.75729 | + | 1.92209i | −0.571095 | + | 0.162446i | ||||
\(141\) | −1.26869 | − | 5.55848i | −0.106843 | − | 0.468108i | ||||
\(142\) | −0.162562 | − | 4.34457i | −0.0136419 | − | 0.364588i | ||||
\(143\) | −3.15364 | − | 4.27302i | −0.263720 | − | 0.357328i | ||||
\(144\) | −0.120239 | − | 0.389805i | −0.0100199 | − | 0.0324837i | ||||
\(145\) | −8.84623 | + | 1.97354i | −0.734639 | + | 0.163894i | ||||
\(146\) | 1.10355i | 0.0913304i | ||||||||
\(147\) | −2.14381 | + | 7.02623i | −0.176819 | + | 0.579513i | ||||
\(148\) | 7.38830 | − | 7.38830i | 0.607314 | − | 0.607314i | ||||
\(149\) | −12.1729 | − | 0.912235i | −0.997245 | − | 0.0747332i | −0.433905 | − | 0.900959i | \(-0.642865\pi\) |
−0.563340 | + | 0.826225i | \(0.690484\pi\) | |||||||
\(150\) | −3.66877 | − | 2.98502i | −0.299554 | − | 0.243726i | ||||
\(151\) | 6.25716 | + | 0.943115i | 0.509201 | + | 0.0767496i | 0.398618 | − | 0.917117i | \(-0.369490\pi\) |
0.110583 | + | 0.993867i | \(0.464728\pi\) | |||||||
\(152\) | 9.41600 | − | 0.352322i | 0.763738 | − | 0.0285771i | ||||
\(153\) | −3.61886 | + | 5.75938i | −0.292567 | + | 0.465618i | ||||
\(154\) | −4.86273 | − | 3.17321i | −0.391850 | − | 0.255705i | ||||
\(155\) | 4.45491 | − | 0.311907i | 0.357827 | − | 0.0250530i | ||||
\(156\) | 2.24592 | − | 1.53125i | 0.179818 | − | 0.122598i | ||||
\(157\) | −0.223345 | + | 5.96901i | −0.0178248 | + | 0.476379i | 0.961586 | + | 0.274503i | \(0.0885133\pi\) |
−0.979411 | + | 0.201876i | \(0.935296\pi\) | |||||||
\(158\) | 9.46343 | − | 1.79058i | 0.752870 | − | 0.142451i | ||||
\(159\) | 9.90178 | − | 1.49245i | 0.785263 | − | 0.118359i | ||||
\(160\) | 12.4051 | + | 0.525043i | 0.980708 | + | 0.0415083i | ||||
\(161\) | 4.79217 | + | 9.45683i | 0.377676 | + | 0.745302i | ||||
\(162\) | −0.0896546 | − | 0.256218i | −0.00704393 | − | 0.0201304i | ||||
\(163\) | −14.0517 | + | 7.42654i | −1.10061 | + | 0.581691i | −0.916024 | − | 0.401124i | \(-0.868620\pi\) |
−0.184590 | + | 0.982816i | \(0.559096\pi\) | |||||||
\(164\) | −2.67386 | + | 6.81288i | −0.208793 | + | 0.531996i | ||||
\(165\) | 0.185653 | + | 5.71035i | 0.0144531 | + | 0.444550i | ||||
\(166\) | 2.56106 | + | 1.47863i | 0.198776 | + | 0.114764i | ||||
\(167\) | −2.18064 | − | 0.245699i | −0.168743 | − | 0.0190128i | 0.0271887 | − | 0.999630i | \(-0.491344\pi\) |
−0.195932 | + | 0.980618i | \(0.562773\pi\) | |||||||
\(168\) | 4.60638 | − | 6.51314i | 0.355390 | − | 0.502500i | ||||
\(169\) | −6.44401 | − | 5.13893i | −0.495693 | − | 0.395302i | ||||
\(170\) | 4.47427 | + | 5.66730i | 0.343161 | + | 0.434662i | ||||
\(171\) | 6.20938 | − | 0.465329i | 0.474843 | − | 0.0355846i | ||||
\(172\) | 4.54407 | − | 5.28030i | 0.346482 | − | 0.402619i | ||||
\(173\) | 6.97179 | − | 15.9795i | 0.530056 | − | 1.21490i | −0.421332 | − | 0.906906i | \(-0.638437\pi\) |
0.951388 | − | 0.307994i | \(-0.0996578\pi\) | |||||||
\(174\) | 2.39064 | − | 2.99777i | 0.181234 | − | 0.227260i | ||||
\(175\) | −0.356756 | + | 13.2239i | −0.0269682 | + | 0.999636i | ||||
\(176\) | 0.326145 | + | 0.408973i | 0.0245841 | + | 0.0308275i | ||||
\(177\) | 14.0994 | − | 3.77792i | 1.05977 | − | 0.283966i | ||||
\(178\) | −1.80514 | + | 6.73687i | −0.135301 | + | 0.504950i | ||||
\(179\) | −10.0995 | − | 3.96376i | −0.754871 | − | 0.296265i | −0.0434733 | − | 0.999055i | \(-0.513842\pi\) |
−0.711398 | + | 0.702789i | \(0.751938\pi\) | |||||||
\(180\) | 5.04161 | + | 0.0247023i | 0.375779 | + | 0.00184120i | ||||
\(181\) | 10.6776 | − | 22.1722i | 0.793657 | − | 1.64804i | 0.0325043 | − | 0.999472i | \(-0.489652\pi\) |
0.761152 | − | 0.648573i | \(-0.224634\pi\) | |||||||
\(182\) | 4.94375 | + | 1.61842i | 0.366455 | + | 0.119965i | ||||
\(183\) | −2.55822 | + | 7.31098i | −0.189109 | + | 0.540443i | ||||
\(184\) | −1.71593 | − | 11.3844i | −0.126500 | − | 0.839271i | ||||
\(185\) | −9.10809 | − | 17.4397i | −0.669640 | − | 1.28219i | ||||
\(186\) | −1.38489 | + | 1.28499i | −0.101545 | + | 0.0942201i | ||||
\(187\) | 1.62158 | − | 8.57025i | 0.118582 | − | 0.626719i | ||||
\(188\) | 5.46268 | − | 3.43243i | 0.398407 | − | 0.250336i | ||||
\(189\) | 7.43306 | − | 11.3907i | 0.540675 | − | 0.828549i | ||||
\(190\) | 1.74207 | − | 6.37636i | 0.126383 | − | 0.462590i | ||||
\(191\) | −10.4792 | − | 9.72325i | −0.758246 | − | 0.703550i | 0.203019 | − | 0.979175i | \(-0.434925\pi\) |
−0.961265 | + | 0.275625i | \(0.911115\pi\) | |||||||
\(192\) | −4.58899 | + | 3.38683i | −0.331182 | + | 0.244423i | ||||
\(193\) | −9.57506 | + | 18.1169i | −0.689228 | + | 1.30408i | 0.252464 | + | 0.967606i | \(0.418759\pi\) |
−0.941692 | + | 0.336477i | \(0.890765\pi\) | |||||||
\(194\) | 0.332563 | − | 4.43775i | 0.0238767 | − | 0.318612i | ||||
\(195\) | −1.48472 | − | 4.89842i | −0.106323 | − | 0.350783i | ||||
\(196\) | −8.30569 | + | 0.336194i | −0.593264 | + | 0.0240139i | ||||
\(197\) | −4.50260 | − | 4.50260i | −0.320797 | − | 0.320797i | 0.528276 | − | 0.849073i | \(-0.322839\pi\) |
−0.849073 | + | 0.528276i | \(0.822839\pi\) | |||||||
\(198\) | 2.71807 | + | 3.15845i | 0.193165 | + | 0.224461i | ||||
\(199\) | 11.7027 | − | 3.60980i | 0.829582 | − | 0.255892i | 0.149253 | − | 0.988799i | \(-0.452313\pi\) |
0.680329 | + | 0.732907i | \(0.261837\pi\) | |||||||
\(200\) | 4.87739 | − | 13.5126i | 0.344884 | − | 0.955482i | ||||
\(201\) | 10.8514 | − | 11.6950i | 0.765398 | − | 0.824903i | ||||
\(202\) | −8.68406 | − | 5.45656i | −0.611009 | − | 0.383922i | ||||
\(203\) | −10.7227 | − | 0.184151i | −0.752588 | − | 0.0129248i | ||||
\(204\) | 4.35248 | + | 0.993426i | 0.304735 | + | 0.0695537i | ||||
\(205\) | 10.7325 | + | 8.64521i | 0.749587 | + | 0.603808i | ||||
\(206\) | −7.99930 | − | 8.62120i | −0.557338 | − | 0.600667i | ||||
\(207\) | −1.41446 | − | 7.47558i | −0.0983115 | − | 0.519589i | ||||
\(208\) | −0.377059 | − | 0.278282i | −0.0261443 | − | 0.0192954i | ||||
\(209\) | −7.19402 | + | 3.46446i | −0.497621 | + | 0.239642i | ||||
\(210\) | −3.39181 | − | 4.45129i | −0.234057 | − | 0.307168i | ||||
\(211\) | −17.4927 | − | 8.42402i | −1.20424 | − | 0.579934i | −0.279362 | − | 0.960186i | \(-0.590123\pi\) |
−0.924883 | + | 0.380252i | \(0.875837\pi\) | |||||||
\(212\) | 5.29466 | + | 10.0180i | 0.363639 | + | 0.688038i | ||||
\(213\) | −4.63932 | + | 2.02411i | −0.317881 | + | 0.138690i | ||||
\(214\) | −8.83026 | + | 5.09815i | −0.603624 | + | 0.348502i | ||||
\(215\) | −6.92452 | − | 11.1411i | −0.472249 | − | 0.759818i | ||||
\(216\) | −11.5481 | + | 9.20927i | −0.785746 | + | 0.626611i | ||||
\(217\) | 5.21071 | + | 0.877147i | 0.353726 | + | 0.0595446i | ||||
\(218\) | −1.34043 | − | 11.8966i | −0.0907851 | − | 0.805740i | ||||
\(219\) | 1.19598 | − | 0.469388i | 0.0808169 | − | 0.0317183i | ||||
\(220\) | −6.02965 | + | 2.33243i | −0.406519 | + | 0.157253i | ||||
\(221\) | 0.583951 | + | 7.79228i | 0.0392808 | + | 0.524166i | ||||
\(222\) | 7.62874 | + | 3.32839i | 0.512008 | + | 0.223387i | ||||
\(223\) | 26.3369 | − | 2.96746i | 1.76365 | − | 0.198716i | 0.830212 | − | 0.557448i | \(-0.188220\pi\) |
0.933440 | + | 0.358732i | \(0.116791\pi\) | |||||||
\(224\) | 14.1231 | + | 4.04543i | 0.943637 | + | 0.270296i | ||||
\(225\) | 2.88702 | − | 9.04386i | 0.192468 | − | 0.602924i | ||||
\(226\) | 1.66280 | − | 2.88005i | 0.110608 | − | 0.191578i | ||||
\(227\) | 12.3494 | + | 3.30902i | 0.819661 | + | 0.219627i | 0.644198 | − | 0.764859i | \(-0.277191\pi\) |
0.175463 | + | 0.984486i | \(0.443858\pi\) | |||||||
\(228\) | −1.63432 | − | 3.74591i | −0.108236 | − | 0.248079i | ||||
\(229\) | −4.08479 | − | 1.25999i | −0.269930 | − | 0.0832624i | 0.156835 | − | 0.987625i | \(-0.449871\pi\) |
−0.426765 | + | 0.904362i | \(0.640347\pi\) | |||||||
\(230\) | −7.98031 | − | 1.24286i | −0.526206 | − | 0.0819516i | ||||
\(231\) | −1.37066 | + | 6.61973i | −0.0901828 | + | 0.435546i | ||||
\(232\) | 10.9926 | + | 3.84648i | 0.721700 | + | 0.252534i | ||||
\(233\) | −9.63268 | + | 13.0518i | −0.631058 | + | 0.855053i | −0.997144 | − | 0.0755280i | \(-0.975936\pi\) |
0.366086 | + | 0.930581i | \(0.380698\pi\) | |||||||
\(234\) | −3.08444 | − | 2.10294i | −0.201636 | − | 0.137473i | ||||
\(235\) | −3.08668 | − | 11.7496i | −0.201353 | − | 0.766460i | ||||
\(236\) | 9.30447 | + | 13.6472i | 0.605670 | + | 0.888354i | ||||
\(237\) | −5.96576 | − | 9.49445i | −0.387518 | − | 0.616731i | ||||
\(238\) | 3.57419 | + | 7.76000i | 0.231680 | + | 0.503006i | ||||
\(239\) | 16.1609 | − | 3.68863i | 1.04536 | − | 0.238597i | 0.334843 | − | 0.942274i | \(-0.391317\pi\) |
0.710520 | + | 0.703677i | \(0.248460\pi\) | |||||||
\(240\) | 0.164179 | + | 0.476675i | 0.0105977 | + | 0.0307693i | ||||
\(241\) | −1.94714 | + | 12.9184i | −0.125426 | + | 0.832149i | 0.834320 | + | 0.551280i | \(0.185860\pi\) |
−0.959746 | + | 0.280868i | \(0.909378\pi\) | |||||||
\(242\) | 4.04205 | + | 2.13628i | 0.259833 | + | 0.137326i | ||||
\(243\) | −11.9294 | + | 10.2661i | −0.765270 | + | 0.658568i | ||||
\(244\) | −8.76471 | −0.561103 | ||||||||
\(245\) | −4.07903 | + | 15.1116i | −0.260600 | + | 0.965447i | ||||
\(246\) | −5.83004 | −0.371710 | ||||||||
\(247\) | 5.42206 | − | 4.66606i | 0.344997 | − | 0.296894i | ||||
\(248\) | −5.07325 | − | 2.68129i | −0.322152 | − | 0.170262i | ||||
\(249\) | 0.513144 | − | 3.40449i | 0.0325192 | − | 0.215751i | ||||
\(250\) | −8.01976 | − | 6.10295i | −0.507214 | − | 0.385985i | ||||
\(251\) | −22.2549 | + | 5.07954i | −1.40472 | + | 0.320618i | −0.856685 | − | 0.515840i | \(-0.827480\pi\) |
−0.548032 | + | 0.836457i | \(0.684623\pi\) | |||||||
\(252\) | 5.79217 | + | 1.42709i | 0.364872 | + | 0.0898984i | ||||
\(253\) | 5.19061 | + | 8.26081i | 0.326331 | + | 0.519353i | ||||
\(254\) | −3.28991 | − | 4.82541i | −0.206427 | − | 0.302773i | ||||
\(255\) | 4.23888 | − | 7.25958i | 0.265449 | − | 0.454612i | ||||
\(256\) | −13.6033 | − | 9.27456i | −0.850205 | − | 0.579660i | ||||
\(257\) | −9.70414 | + | 13.1486i | −0.605328 | + | 0.820190i | −0.994906 | − | 0.100803i | \(-0.967859\pi\) |
0.389579 | + | 0.920993i | \(0.372621\pi\) | |||||||
\(258\) | 5.23788 | + | 1.83281i | 0.326096 | + | 0.114106i | ||||
\(259\) | −5.63819 | − | 22.5865i | −0.350340 | − | 1.40346i | ||||
\(260\) | 4.67695 | − | 3.41648i | 0.290052 | − | 0.211881i | ||||
\(261\) | 7.35428 | + | 2.26849i | 0.455218 | + | 0.140416i | ||||
\(262\) | 2.92479 | + | 6.70369i | 0.180694 | + | 0.414156i | ||||
\(263\) | −7.34928 | − | 1.96923i | −0.453176 | − | 0.121428i | 0.0250092 | − | 0.999687i | \(-0.492038\pi\) |
−0.478185 | + | 0.878259i | \(0.658705\pi\) | |||||||
\(264\) | 3.67061 | − | 6.35769i | 0.225911 | − | 0.391289i | ||||
\(265\) | 20.9837 | − | 3.86394i | 1.28902 | − | 0.237360i | ||||
\(266\) | 3.77276 | − | 6.85100i | 0.231323 | − | 0.420062i | ||||
\(267\) | 8.06894 | − | 0.909152i | 0.493811 | − | 0.0556392i | ||||
\(268\) | 16.5466 | + | 7.21920i | 1.01074 | + | 0.440983i | ||||
\(269\) | 2.15092 | + | 28.7020i | 0.131144 | + | 1.74999i | 0.543899 | + | 0.839151i | \(0.316947\pi\) |
−0.412755 | + | 0.910842i | \(0.635434\pi\) | |||||||
\(270\) | 3.73825 | + | 9.66386i | 0.227502 | + | 0.588124i | ||||
\(271\) | −12.2829 | + | 4.82068i | −0.746133 | + | 0.292836i | −0.707784 | − | 0.706429i | \(-0.750305\pi\) |
−0.0383489 | + | 0.999264i | \(0.512210\pi\) | |||||||
\(272\) | −0.0861758 | − | 0.764832i | −0.00522518 | − | 0.0463747i | ||||
\(273\) | −0.348815 | − | 6.04622i | −0.0211113 | − | 0.365934i | ||||
\(274\) | 7.37381 | − | 5.88042i | 0.445468 | − | 0.355249i | ||||
\(275\) | 0.790742 | + | 12.1480i | 0.0476835 | + | 0.732553i | ||||
\(276\) | −4.32459 | + | 2.49680i | −0.260309 | + | 0.150290i | ||||
\(277\) | 6.00313 | − | 2.61914i | 0.360693 | − | 0.157369i | −0.211728 | − | 0.977329i | \(-0.567909\pi\) |
0.572421 | + | 0.819960i | \(0.306004\pi\) | |||||||
\(278\) | −5.11521 | − | 9.67846i | −0.306790 | − | 0.580475i | ||||
\(279\) | −3.41650 | − | 1.64530i | −0.204540 | − | 0.0985015i | ||||
\(280\) | 9.35888 | − | 14.1895i | 0.559300 | − | 0.847983i | ||||
\(281\) | −25.8902 | + | 12.4681i | −1.54448 | + | 0.743782i | −0.995739 | − | 0.0922109i | \(-0.970607\pi\) |
−0.548740 | + | 0.835993i | \(0.684892\pi\) | |||||||
\(282\) | 4.13499 | + | 3.05176i | 0.246235 | + | 0.181730i | ||||
\(283\) | −1.82650 | − | 9.65326i | −0.108574 | − | 0.573827i | −0.994030 | − | 0.109104i | \(-0.965202\pi\) |
0.885456 | − | 0.464722i | \(-0.153846\pi\) | |||||||
\(284\) | −3.89575 | − | 4.19862i | −0.231170 | − | 0.249142i | ||||
\(285\) | −7.65141 | + | 0.824163i | −0.453231 | + | 0.0488192i | ||||
\(286\) | 4.66703 | + | 1.06522i | 0.275967 | + | 0.0629878i | ||||
\(287\) | 9.94640 | + | 12.9215i | 0.587117 | + | 0.762731i | ||||
\(288\) | −8.92691 | − | 5.60915i | −0.526023 | − | 0.330522i | ||||
\(289\) | 2.83373 | − | 3.05403i | 0.166690 | − | 0.179649i | ||||
\(290\) | 4.88361 | − | 6.54964i | 0.286775 | − | 0.384608i | ||||
\(291\) | −4.95090 | + | 1.52715i | −0.290227 | + | 0.0895231i | ||||
\(292\) | 0.948315 | + | 1.10196i | 0.0554959 | + | 0.0644874i | ||||
\(293\) | −18.5844 | − | 18.5844i | −1.08571 | − | 1.08571i | −0.995964 | − | 0.0897489i | \(-0.971394\pi\) |
−0.0897489 | − | 0.995964i | \(-0.528606\pi\) | |||||||
\(294\) | −2.66646 | − | 6.06099i | −0.155511 | − | 0.353484i | ||||
\(295\) | 29.7648 | − | 9.02174i | 1.73297 | − | 0.525266i | ||||
\(296\) | −1.88922 | + | 25.2099i | −0.109809 | + | 1.46530i | ||||
\(297\) | 5.84863 | − | 11.0661i | 0.339372 | − | 0.642123i | ||||
\(298\) | 8.85323 | − | 6.53398i | 0.512854 | − | 0.378503i | ||||
\(299\) | −6.40715 | − | 5.94497i | −0.370535 | − | 0.343806i | ||||
\(300\) | −6.22861 | + | 0.171957i | −0.359609 | + | 0.00992795i | ||||
\(301\) | −4.87396 | − | 14.7359i | −0.280931 | − | 0.849365i | ||||
\(302\) | −4.82958 | + | 3.03462i | −0.277911 | + | 0.174623i | ||||
\(303\) | −2.21988 | + | 11.7323i | −0.127529 | + | 0.674005i | ||||
\(304\) | −0.516500 | + | 0.479242i | −0.0296233 | + | 0.0274864i | ||||
\(305\) | −4.94185 | + | 15.7467i | −0.282969 | + | 0.901656i | ||||
\(306\) | −0.913808 | − | 6.06272i | −0.0522389 | − | 0.346583i | ||||
\(307\) | −0.118114 | + | 0.337550i | −0.00674112 | + | 0.0192650i | −0.947205 | − | 0.320629i | \(-0.896106\pi\) |
0.940464 | + | 0.339894i | \(0.110391\pi\) | |||||||
\(308\) | −7.58257 | + | 1.01005i | −0.432057 | + | 0.0575531i | ||||
\(309\) | −5.94084 | + | 12.3363i | −0.337962 | + | 0.701786i | ||||
\(310\) | −2.86032 | + | 2.83243i | −0.162455 | + | 0.160871i | ||||
\(311\) | 4.00033 | + | 1.57001i | 0.226838 | + | 0.0890274i | 0.476038 | − | 0.879425i | \(-0.342072\pi\) |
−0.249200 | + | 0.968452i | \(0.580168\pi\) | |||||||
\(312\) | −1.70221 | + | 6.35275i | −0.0963689 | + | 0.359654i | ||||
\(313\) | −3.27094 | + | 0.876445i | −0.184884 | + | 0.0495396i | −0.350073 | − | 0.936722i | \(-0.613843\pi\) |
0.165189 | + | 0.986262i | \(0.447177\pi\) | |||||||
\(314\) | −3.35697 | − | 4.20951i | −0.189445 | − | 0.237556i | ||||
\(315\) | 5.82975 | − | 9.60161i | 0.328469 | − | 0.540989i | ||||
\(316\) | 7.91111 | − | 9.92022i | 0.445035 | − | 0.558056i | ||||
\(317\) | 3.02763 | − | 6.93940i | 0.170049 | − | 0.389756i | −0.810581 | − | 0.585626i | \(-0.800849\pi\) |
0.980630 | + | 0.195871i | \(0.0627533\pi\) | |||||||
\(318\) | −5.88765 | + | 6.84158i | −0.330163 | + | 0.383657i | ||||
\(319\) | −9.84142 | + | 0.737513i | −0.551014 | + | 0.0412928i | ||||
\(320\) | −9.53832 | + | 7.53039i | −0.533208 | + | 0.420962i | ||||
\(321\) | 9.28105 | + | 7.40139i | 0.518018 | + | 0.413105i | ||||
\(322\) | −8.83441 | − | 3.64353i | −0.492323 | − | 0.203046i | ||||
\(323\) | 11.6747 | + | 1.31543i | 0.649599 | + | 0.0731923i | ||||
\(324\) | −0.309702 | − | 0.178806i | −0.0172056 | − | 0.00993369i | ||||
\(325\) | −3.50104 | − | 10.3290i | −0.194203 | − | 0.572948i | ||||
\(326\) | 5.23396 | − | 13.3359i | 0.289882 | − | 0.738607i | ||||
\(327\) | −12.3229 | + | 6.51284i | −0.681458 | + | 0.360161i | ||||
\(328\) | −5.84857 | − | 16.7142i | −0.322933 | − | 0.922890i | ||||
\(329\) | −0.290735 | − | 14.3711i | −0.0160287 | − | 0.792305i | ||||
\(330\) | −3.48432 | − | 3.79230i | −0.191806 | − | 0.208759i | ||||
\(331\) | 16.8022 | − | 2.53253i | 0.923534 | − | 0.139200i | 0.329974 | − | 0.943990i | \(-0.392960\pi\) |
0.593560 | + | 0.804790i | \(0.297722\pi\) | |||||||
\(332\) | 3.82800 | − | 0.724297i | 0.210089 | − | 0.0397509i | ||||
\(333\) | −0.624671 | + | 16.6947i | −0.0342317 | + | 0.914863i | ||||
\(334\) | 1.63433 | − | 1.11427i | 0.0894267 | − | 0.0609701i | ||||
\(335\) | 22.2996 | − | 25.6573i | 1.21836 | − | 1.40181i | ||||
\(336\) | 0.0566012 | + | 0.593835i | 0.00308785 | + | 0.0323964i | ||||
\(337\) | −6.48180 | + | 10.3157i | −0.353086 | + | 0.561933i | −0.975292 | − | 0.220920i | \(-0.929094\pi\) |
0.622206 | + | 0.782854i | \(0.286237\pi\) | |||||||
\(338\) | 7.42423 | − | 0.277795i | 0.403825 | − | 0.0151101i | ||||
\(339\) | −3.82854 | − | 0.577059i | −0.207938 | − | 0.0313415i | ||||
\(340\) | 9.33792 | + | 1.81426i | 0.506420 | + | 0.0983923i | ||||
\(341\) | 4.84901 | + | 0.363383i | 0.262589 | + | 0.0196783i | ||||
\(342\) | −3.96882 | + | 3.96882i | −0.214609 | + | 0.214609i | ||||
\(343\) | −8.88421 | + | 16.2503i | −0.479702 | + | 0.877431i | ||||
\(344\) | 16.8552i | 0.908772i | ||||||||
\(345\) | 2.04742 | + | 9.17737i | 0.110229 | + | 0.494093i | ||||
\(346\) | 4.63207 | + | 15.0168i | 0.249022 | + | 0.807308i | ||||
\(347\) | −9.39458 | − | 12.7292i | −0.504328 | − | 0.683340i | 0.476286 | − | 0.879290i | \(-0.341983\pi\) |
−0.980614 | + | 0.195951i | \(0.937221\pi\) | |||||||
\(348\) | −0.188876 | − | 5.04781i | −0.0101248 | − | 0.270591i | ||||
\(349\) | 3.08881 | + | 13.5330i | 0.165340 | + | 0.724402i | 0.987819 | + | 0.155607i | \(0.0497333\pi\) |
−0.822479 | + | 0.568796i | \(0.807410\pi\) | |||||||
\(350\) | −7.53146 | − | 9.24471i | −0.402573 | − | 0.494151i | ||||
\(351\) | −2.49521 | + | 10.9322i | −0.133185 | + | 0.583520i | ||||
\(352\) | 13.2837 | + | 2.51341i | 0.708023 | + | 0.133965i | ||||
\(353\) | −9.82071 | − | 0.367465i | −0.522704 | − | 0.0195582i | −0.225262 | − | 0.974298i | \(-0.572324\pi\) |
−0.297442 | + | 0.954740i | \(0.596133\pi\) | |||||||
\(354\) | −7.41180 | + | 10.8711i | −0.393932 | + | 0.577793i | ||||
\(355\) | −9.73984 | + | 4.63181i | −0.516937 | + | 0.245831i | ||||
\(356\) | 3.98666 | + | 8.27839i | 0.211293 | + | 0.438754i | ||||
\(357\) | 6.88970 | − | 7.17422i | 0.364641 | − | 0.379700i | ||||
\(358\) | 9.23079 | − | 3.22999i | 0.487862 | − | 0.170710i | ||||
\(359\) | −5.35813 | + | 17.3706i | −0.282791 | + | 0.916786i | 0.697053 | + | 0.717020i | \(0.254494\pi\) |
−0.979844 | + | 0.199766i | \(0.935982\pi\) | |||||||
\(360\) | −9.28492 | + | 7.91146i | −0.489358 | + | 0.416971i | ||||
\(361\) | 4.12242 | + | 7.14025i | 0.216970 | + | 0.375803i | ||||
\(362\) | 5.74125 | + | 21.4266i | 0.301753 | + | 1.12616i | ||||
\(363\) | 0.595956 | − | 5.28925i | 0.0312796 | − | 0.277614i | ||||
\(364\) | 6.32740 | − | 2.63223i | 0.331646 | − | 0.137966i | ||||
\(365\) | 2.51449 | − | 1.08243i | 0.131614 | − | 0.0566567i | ||||
\(366\) | −2.55075 | − | 6.49920i | −0.133330 | − | 0.339719i | ||||
\(367\) | 23.8641 | + | 20.5367i | 1.24570 | + | 1.07201i | 0.994572 | + | 0.104054i | \(0.0331814\pi\) |
0.251125 | + | 0.967955i | \(0.419200\pi\) | |||||||
\(368\) | 0.652541 | + | 0.561557i | 0.0340160 | + | 0.0292732i | ||||
\(369\) | −4.27524 | − | 10.8931i | −0.222560 | − | 0.567074i | ||||
\(370\) | 16.4768 | + | 6.56001i | 0.856587 | + | 0.341038i | ||||
\(371\) | 25.2081 | + | 1.37703i | 1.30874 | + | 0.0714916i | ||||
\(372\) | −0.278665 | + | 2.47322i | −0.0144481 | + | 0.128231i | ||||
\(373\) | −1.30336 | − | 4.86420i | −0.0674853 | − | 0.251859i | 0.923939 | − | 0.382539i | \(-0.124950\pi\) |
−0.991425 | + | 0.130681i | \(0.958284\pi\) | |||||||
\(374\) | 3.93109 | + | 6.80885i | 0.203272 | + | 0.352077i | ||||
\(375\) | −3.20297 | + | 11.2873i | −0.165401 | + | 0.582875i | ||||
\(376\) | −4.60101 | + | 14.9161i | −0.237279 | + | 0.769240i | ||||
\(377\) | 8.34529 | − | 2.92014i | 0.429804 | − | 0.150395i | ||||
\(378\) | 1.61884 | + | 12.1528i | 0.0832639 | + | 0.625071i | ||||
\(379\) | 3.57776 | + | 7.42929i | 0.183777 | + | 0.381617i | 0.972421 | − | 0.233233i | \(-0.0749306\pi\) |
−0.788644 | + | 0.614850i | \(0.789216\pi\) | |||||||
\(380\) | −3.73984 | − | 7.86420i | −0.191850 | − | 0.403425i | ||||
\(381\) | −3.83024 | + | 5.61793i | −0.196229 | + | 0.287815i | ||||
\(382\) | 12.8766 | + | 0.481807i | 0.658823 | + | 0.0246514i | ||||
\(383\) | −20.1607 | − | 3.81461i | −1.03016 | − | 0.194917i | −0.356762 | − | 0.934195i | \(-0.616119\pi\) |
−0.673400 | + | 0.739278i | \(0.735167\pi\) | |||||||
\(384\) | −1.44934 | + | 6.34998i | −0.0739614 | + | 0.324046i | ||||
\(385\) | −2.46065 | + | 14.1924i | −0.125407 | + | 0.723313i | ||||
\(386\) | −4.11015 | − | 18.0077i | −0.209201 | − | 0.916570i | ||||
\(387\) | 0.416483 | + | 11.1307i | 0.0211710 | + | 0.565808i | ||||
\(388\) | −3.48141 | − | 4.71715i | −0.176742 | − | 0.239477i | ||||
\(389\) | 7.49948 | + | 24.3127i | 0.380239 | + | 1.23270i | 0.920345 | + | 0.391107i | \(0.127908\pi\) |
−0.540107 | + | 0.841597i | \(0.681616\pi\) | |||||||
\(390\) | 3.89449 | + | 2.47377i | 0.197205 | + | 0.125264i | ||||
\(391\) | − | 14.3551i | − | 0.725967i | ||||||
\(392\) | 14.7014 | − | 13.7248i | 0.742534 | − | 0.693205i | ||||
\(393\) | 6.02114 | − | 6.02114i | 0.303726 | − | 0.303726i | ||||
\(394\) | 5.72366 | + | 0.428929i | 0.288354 | + | 0.0216091i | ||||
\(395\) | −13.3622 | − | 19.8065i | −0.672324 | − | 0.996575i | ||||
\(396\) | 5.42831 | + | 0.818187i | 0.272783 | + | 0.0411154i | ||||
\(397\) | −28.9691 | + | 1.08395i | −1.45392 | + | 0.0544018i | −0.752615 | − | 0.658460i | \(-0.771208\pi\) |
−0.701304 | + | 0.712862i | \(0.747399\pi\) | |||||||
\(398\) | −5.87316 | + | 9.34708i | −0.294395 | + | 0.468527i | ||||
\(399\) | −9.02955 | − | 1.17473i | −0.452043 | − | 0.0588101i | ||||
\(400\) | 0.382643 | + | 1.00377i | 0.0191321 | + | 0.0501885i | ||||
\(401\) | −14.3441 | + | 9.77966i | −0.716311 | + | 0.488373i | −0.865800 | − | 0.500391i | \(-0.833190\pi\) |
0.149488 | + | 0.988763i | \(0.452237\pi\) | |||||||
\(402\) | −0.537709 | + | 14.3706i | −0.0268185 | + | 0.716739i | ||||
\(403\) | −4.28036 | + | 0.809888i | −0.213220 | + | 0.0403434i | ||||
\(404\) | −13.3606 | + | 2.01378i | −0.664713 | + | 0.100189i | ||||
\(405\) | −0.495866 | + | 0.455595i | −0.0246398 | + | 0.0226387i | ||||
\(406\) | 7.43433 | − | 6.17876i | 0.368959 | − | 0.306647i | ||||
\(407\) | −7.07556 | − | 20.2208i | −0.350722 | − | 1.00231i | ||||
\(408\) | −9.54997 | + | 5.04731i | −0.472794 | + | 0.249879i | ||||
\(409\) | −0.206844 | + | 0.527029i | −0.0102278 | + | 0.0260599i | −0.935896 | − | 0.352275i | \(-0.885408\pi\) |
0.925669 | + | 0.378335i | \(0.123503\pi\) | |||||||
\(410\) | −12.4158 | + | 0.403658i | −0.613171 | + | 0.0199353i | ||||
\(411\) | −9.50935 | − | 5.49022i | −0.469062 | − | 0.270813i | ||||
\(412\) | −15.3963 | − | 1.73474i | −0.758519 | − | 0.0854646i | ||||
\(413\) | 36.7393 | − | 2.11955i | 1.80782 | − | 0.104296i | ||||
\(414\) | 5.36177 | + | 4.27587i | 0.263517 | + | 0.210147i | ||||
\(415\) | 0.857084 | − | 7.28580i | 0.0420726 | − | 0.357646i | ||||
\(416\) | −12.0779 | + | 0.905111i | −0.592166 | + | 0.0443767i | ||||
\(417\) | −8.31338 | + | 9.66032i | −0.407108 | + | 0.473068i | ||||
\(418\) | 2.87817 | − | 6.59684i | 0.140776 | − | 0.322662i | ||||
\(419\) | 22.8073 | − | 28.5995i | 1.11421 | − | 1.39718i | 0.206056 | − | 0.978540i | \(-0.433937\pi\) |
0.908154 | − | 0.418636i | \(-0.137492\pi\) | |||||||
\(420\) | −7.21205 | − | 1.53019i | −0.351912 | − | 0.0746659i | ||||
\(421\) | 19.1039 | + | 23.9556i | 0.931068 | + | 1.16752i | 0.985614 | + | 0.169012i | \(0.0540575\pi\) |
−0.0545457 | + | 0.998511i | \(0.517371\pi\) | |||||||
\(422\) | 16.9045 | − | 4.52954i | 0.822897 | − | 0.220495i | ||||
\(423\) | −2.66982 | + | 9.96391i | −0.129811 | + | 0.484462i | ||||
\(424\) | −25.5206 | − | 10.0161i | −1.23939 | − | 0.486425i | ||||
\(425\) | 8.52457 | − | 15.7536i | 0.413502 | − | 0.764164i | ||||
\(426\) | 1.97960 | − | 4.11068i | 0.0959119 | − | 0.199163i | ||||
\(427\) | −10.0528 | + | 16.7414i | −0.486491 | + | 0.810173i | ||||
\(428\) | −4.43655 | + | 12.6789i | −0.214449 | + | 0.612859i | ||||
\(429\) | −0.830652 | − | 5.51102i | −0.0401043 | − | 0.266074i | ||||
\(430\) | 11.2816 | + | 3.54054i | 0.544047 | + | 0.170740i | ||||
\(431\) | 15.2843 | − | 14.1817i | 0.736218 | − | 0.683110i | −0.220087 | − | 0.975480i | \(-0.570634\pi\) |
0.956305 | + | 0.292370i | \(0.0944438\pi\) | |||||||
\(432\) | 0.205337 | − | 1.08523i | 0.00987930 | − | 0.0522133i | ||||
\(433\) | 18.9835 | − | 11.9282i | 0.912291 | − | 0.573230i | 0.00791586 | − | 0.999969i | \(-0.497480\pi\) |
0.904375 | + | 0.426738i | \(0.140337\pi\) | |||||||
\(434\) | −4.07583 | + | 2.46442i | −0.195646 | + | 0.118296i | ||||
\(435\) | −9.17543 | − | 2.50680i | −0.439928 | − | 0.120192i | ||||
\(436\) | −11.5616 | − | 10.7276i | −0.553702 | − | 0.513760i | ||||
\(437\) | −10.5734 | + | 7.80352i | −0.505794 | + | 0.373293i | ||||
\(438\) | −0.541143 | + | 1.02389i | −0.0258568 | + | 0.0489235i | ||||
\(439\) | 0.873543 | − | 11.6566i | 0.0416919 | − | 0.556340i | −0.936774 | − | 0.349934i | \(-0.886204\pi\) |
0.978466 | − | 0.206406i | \(-0.0661769\pi\) | |||||||
\(440\) | 7.37683 | − | 13.7936i | 0.351676 | − | 0.657585i | ||||
\(441\) | 9.36932 | − | 9.42675i | 0.446158 | − | 0.448893i | ||||
\(442\) | −4.98055 | − | 4.98055i | −0.236901 | − | 0.236901i | ||||
\(443\) | −18.7303 | − | 21.7650i | −0.889905 | − | 1.03409i | −0.999197 | − | 0.0400789i | \(-0.987239\pi\) |
0.109291 | − | 0.994010i | \(-0.465142\pi\) | |||||||
\(444\) | 10.4780 | − | 3.23202i | 0.497262 | − | 0.153385i | ||||
\(445\) | 17.1208 | − | 2.49482i | 0.811606 | − | 0.118266i | ||||
\(446\) | −16.2493 | + | 17.5126i | −0.769429 | + | 0.829247i | ||||
\(447\) | −10.8469 | − | 6.81557i | −0.513041 | − | 0.322365i | ||||
\(448\) | −13.0604 | + | 6.01552i | −0.617047 | + | 0.284206i | ||||
\(449\) | 32.6552 | + | 7.45334i | 1.54109 | + | 0.351745i | 0.906872 | − | 0.421406i | \(-0.138463\pi\) |
0.634222 | + | 0.773151i | \(0.281320\pi\) | |||||||
\(450\) | 3.34498 | + | 7.87647i | 0.157684 | + | 0.371300i | ||||
\(451\) | 10.2066 | + | 11.0001i | 0.480608 | + | 0.517972i | ||||
\(452\) | −0.814512 | − | 4.30480i | −0.0383114 | − | 0.202481i | ||||
\(453\) | 5.34303 | + | 3.94333i | 0.251037 | + | 0.185274i | ||||
\(454\) | −10.3831 | + | 5.00021i | −0.487301 | + | 0.234672i | ||||
\(455\) | −1.16147 | − | 12.8520i | −0.0544506 | − | 0.602511i | ||||
\(456\) | 8.90909 | + | 4.29039i | 0.417206 | + | 0.200916i | ||||
\(457\) | −5.19655 | − | 9.83236i | −0.243084 | − | 0.459938i | 0.732141 | − | 0.681154i | \(-0.238521\pi\) |
−0.975225 | + | 0.221215i | \(0.928998\pi\) | |||||||
\(458\) | 3.53166 | − | 1.54085i | 0.165024 | − | 0.0719991i | ||||
\(459\) | −15.9493 | + | 9.20835i | −0.744451 | + | 0.429809i | ||||
\(460\) | −9.03686 | + | 5.61666i | −0.421346 | + | 0.261878i | ||||
\(461\) | −20.6125 | + | 16.4379i | −0.960020 | + | 0.765590i | −0.972156 | − | 0.234336i | \(-0.924708\pi\) |
0.0121359 | + | 0.999926i | \(0.496137\pi\) | |||||||
\(462\) | −2.95569 | − | 5.32867i | −0.137511 | − | 0.247912i | ||||
\(463\) | 0.979130 | + | 8.69002i | 0.0455040 | + | 0.403860i | 0.995731 | + | 0.0923014i | \(0.0294223\pi\) |
−0.950227 | + | 0.311558i | \(0.899149\pi\) | |||||||
\(464\) | −0.810660 | + | 0.318160i | −0.0376339 | + | 0.0147702i | ||||
\(465\) | 4.28629 | + | 1.89514i | 0.198772 | + | 0.0878851i | ||||
\(466\) | −1.09270 | − | 14.5810i | −0.0506182 | − | 0.675453i | ||||
\(467\) | 19.2437 | + | 8.39595i | 0.890493 | + | 0.388518i | 0.794785 | − | 0.606891i | \(-0.207584\pi\) |
0.0957081 | + | 0.995409i | \(0.469488\pi\) | |||||||
\(468\) | −4.88712 | + | 0.550646i | −0.225907 | + | 0.0254536i | ||||
\(469\) | 32.7678 | − | 23.3253i | 1.51307 | − | 1.07706i | ||||
\(470\) | 9.01725 | + | 6.21279i | 0.415935 | + | 0.286575i | ||||
\(471\) | −3.13422 | + | 5.42863i | −0.144417 | + | 0.250138i | ||||
\(472\) | −38.6019 | − | 10.3434i | −1.77680 | − | 0.476091i | ||||
\(473\) | −5.71174 | − | 13.0914i | −0.262626 | − | 0.601945i | ||||
\(474\) | 9.65836 | + | 2.97921i | 0.443623 | + | 0.136840i | ||||
\(475\) | −16.2375 | + | 2.28492i | −0.745030 | + | 0.104839i | ||||
\(476\) | 10.2375 | + | 4.67742i | 0.469233 | + | 0.214389i | ||||
\(477\) | −17.1006 | − | 5.98377i | −0.782985 | − | 0.273978i | ||||
\(478\) | −8.87280 | + | 12.0222i | −0.405832 | + | 0.549883i | ||||
\(479\) | 15.5829 | + | 10.6242i | 0.712000 | + | 0.485434i | 0.864349 | − | 0.502893i | \(-0.167731\pi\) |
−0.152348 | + | 0.988327i | \(0.548683\pi\) | |||||||
\(480\) | 11.2522 | + | 6.57017i | 0.513589 | + | 0.299886i | ||||
\(481\) | 10.8115 | + | 15.8575i | 0.492960 | + | 0.723039i | ||||
\(482\) | −6.26523 | − | 9.97106i | −0.285373 | − | 0.454169i | ||||
\(483\) | −0.191044 | + | 11.1241i | −0.00869281 | + | 0.506165i | ||||
\(484\) | 5.87200 | − | 1.34025i | 0.266909 | − | 0.0609203i | ||||
\(485\) | −10.4378 | + | 3.59504i | −0.473956 | + | 0.163242i | ||||
\(486\) | 2.11439 | − | 14.0281i | 0.0959109 | − | 0.636327i | ||||
\(487\) | 20.0371 | + | 10.5899i | 0.907968 | + | 0.479875i | 0.854945 | − | 0.518718i | \(-0.173591\pi\) |
0.0530227 | + | 0.998593i | \(0.483114\pi\) | |||||||
\(488\) | 16.0738 | − | 13.8326i | 0.727627 | − | 0.626174i | ||||
\(489\) | −16.6791 | −0.754256 | ||||||||
\(490\) | −6.09819 | − | 12.7230i | −0.275488 | − | 0.574766i | ||||
\(491\) | −9.27652 | −0.418643 | −0.209322 | − | 0.977847i | \(-0.567126\pi\) | ||||
−0.209322 | + | 0.977847i | \(0.567126\pi\) | |||||||
\(492\) | −5.82165 | + | 5.00993i | −0.262460 | + | 0.225865i | ||||
\(493\) | 12.8383 | + | 6.78523i | 0.578207 | + | 0.305592i | ||||
\(494\) | −0.961020 | + | 6.37595i | −0.0432383 | + | 0.286868i | ||||
\(495\) | 4.53063 | − | 9.29123i | 0.203637 | − | 0.417610i | ||||
\(496\) | 0.418327 | − | 0.0954804i | 0.0187834 | − | 0.00428719i | ||||
\(497\) | −12.4881 | + | 2.62556i | −0.560166 | + | 0.117772i | ||||
\(498\) | 1.65112 | + | 2.62775i | 0.0739886 | + | 0.117752i | ||||
\(499\) | −10.9596 | − | 16.0747i | −0.490617 | − | 0.719603i | 0.498475 | − | 0.866904i | \(-0.333894\pi\) |
−0.989092 | + | 0.147301i | \(0.952941\pi\) | |||||||
\(500\) | −13.2527 | + | 0.797458i | −0.592678 | + | 0.0356634i | ||||
\(501\) | −1.90275 | − | 1.29727i | −0.0850086 | − | 0.0579579i | ||||
\(502\) | 12.2186 | − | 16.5556i | 0.545341 | − | 0.738911i | ||||
\(503\) | 19.9670 | + | 6.98675i | 0.890284 | + | 0.311524i | 0.736385 | − | 0.676563i | \(-0.236531\pi\) |
0.153899 | + | 0.988087i | \(0.450817\pi\) | |||||||
\(504\) | −12.8747 | + | 6.52413i | −0.573483 | + | 0.290608i | ||||
\(505\) | −3.91518 | + | 25.1391i | −0.174223 | + | 1.11868i | ||||
\(506\) | −8.40343 | − | 2.59211i | −0.373578 | − | 0.115234i | ||||
\(507\) | −3.45891 | − | 7.92791i | −0.153616 | − | 0.352091i | ||||
\(508\) | −7.43181 | − | 1.99135i | −0.329733 | − | 0.0883517i | ||||
\(509\) | 17.9286 | − | 31.0532i | 0.794669 | − | 1.37641i | −0.128380 | − | 0.991725i | \(-0.540978\pi\) |
0.923049 | − | 0.384683i | \(-0.125689\pi\) | |||||||
\(510\) | 1.37225 | + | 7.45224i | 0.0607645 | + | 0.329991i | ||||
\(511\) | 3.19254 | − | 0.547454i | 0.141230 | − | 0.0242179i | ||||
\(512\) | 2.41229 | − | 0.271800i | 0.106609 | − | 0.0120120i | ||||
\(513\) | 15.4527 | + | 6.74194i | 0.682253 | + | 0.297664i | ||||
\(514\) | −1.10080 | − | 14.6892i | −0.0485543 | − | 0.647912i | ||||
\(515\) | −11.7976 | + | 26.6829i | −0.519864 | + | 1.17579i | ||||
\(516\) | 6.80534 | − | 2.67090i | 0.299588 | − | 0.117580i | ||||
\(517\) | −1.48103 | − | 13.1445i | −0.0651357 | − | 0.578095i | ||||
\(518\) | 17.1322 | + | 12.1166i | 0.752746 | + | 0.532374i | ||||
\(519\) | 14.3044 | − | 11.4073i | 0.627891 | − | 0.500727i | ||||
\(520\) | −3.18522 | + | 13.6468i | −0.139681 | + | 0.598452i | ||||
\(521\) | 21.6265 | − | 12.4861i | 0.947476 | − | 0.547025i | 0.0551798 | − | 0.998476i | \(-0.482427\pi\) |
0.892296 | + | 0.451451i | \(0.149093\pi\) | |||||||
\(522\) | −6.35843 | + | 2.77416i | −0.278301 | + | 0.121421i | ||||
\(523\) | −1.86682 | − | 3.53220i | −0.0816304 | − | 0.154452i | 0.839921 | − | 0.542709i | \(-0.182601\pi\) |
−0.921551 | + | 0.388257i | \(0.873077\pi\) | |||||||
\(524\) | 8.68128 | + | 4.18068i | 0.379243 | + | 0.182634i | ||||
\(525\) | −6.81557 | + | 12.0945i | −0.297456 | + | 0.527845i | ||||
\(526\) | 6.17906 | − | 2.97568i | 0.269420 | − | 0.129746i | ||||
\(527\) | −5.75668 | − | 4.24863i | −0.250765 | − | 0.185073i | ||||
\(528\) | 0.102057 | + | 0.539382i | 0.00444144 | + | 0.0234736i | ||||
\(529\) | −4.72269 | − | 5.08985i | −0.205334 | − | 0.221298i | ||||
\(530\) | −12.0648 | + | 14.9776i | −0.524060 | + | 0.650586i | ||||
\(531\) | −25.7473 | − | 5.87665i | −1.11734 | − | 0.255025i | ||||
\(532\) | −2.11995 | − | 10.0832i | −0.0919113 | − | 0.437162i | ||||
\(533\) | −11.3829 | − | 7.15232i | −0.493046 | − | 0.309802i | ||||
\(534\) | −4.97837 | + | 5.36541i | −0.215435 | + | 0.232184i | ||||
\(535\) | 20.2776 | + | 15.1196i | 0.876676 | + | 0.653676i | ||||
\(536\) | −41.7387 | + | 12.8747i | −1.80284 | + | 0.556101i | ||||
\(537\) | −7.42678 | − | 8.63008i | −0.320489 | − | 0.372415i | ||||
\(538\) | −18.3453 | − | 18.3453i | −0.790923 | − | 0.790923i | ||||
\(539\) | −6.76768 | + | 15.6419i | −0.291505 | + | 0.673745i | ||||
\(540\) | 12.0373 | + | 6.43756i | 0.518004 | + | 0.277029i | ||||
\(541\) | 3.26508 | − | 43.5694i | 0.140377 | − | 1.87319i | −0.272157 | − | 0.962253i | \(-0.587737\pi\) |
0.412534 | − | 0.910942i | \(-0.364644\pi\) | |||||||
\(542\) | 5.55762 | − | 10.5155i | 0.238720 | − | 0.451680i | ||||
\(543\) | 20.7793 | − | 15.3358i | 0.891724 | − | 0.658123i | ||||
\(544\) | −14.5820 | − | 13.5301i | −0.625196 | − | 0.580097i | ||||
\(545\) | −25.7922 | + | 14.7231i | −1.10482 | + | 0.630668i | ||||
\(546\) | 3.79328 | + | 3.92585i | 0.162337 | + | 0.168011i | ||||
\(547\) | −3.70477 | + | 2.32786i | −0.158405 | + | 0.0995322i | −0.608902 | − | 0.793246i | \(-0.708390\pi\) |
0.450497 | + | 0.892778i | \(0.351247\pi\) | |||||||
\(548\) | 2.30997 | − | 12.2085i | 0.0986771 | − | 0.521521i | ||||
\(549\) | 10.2729 | − | 9.53189i | 0.438438 | − | 0.406811i | ||||
\(550\) | −7.68286 | − | 7.83492i | −0.327598 | − | 0.334082i | ||||
\(551\) | −1.98124 | − | 13.1447i | −0.0844038 | − | 0.559983i | ||||
\(552\) | 3.99046 | − | 11.4041i | 0.169845 | − | 0.485390i | ||||
\(553\) | −9.87474 | − | 26.4891i | −0.419917 | − | 1.12643i | ||||
\(554\) | −2.56154 | + | 5.31909i | −0.108829 | + | 0.225986i | ||||
\(555\) | 0.101164 | − | 20.6471i | 0.00429419 | − | 0.876420i | ||||
\(556\) | −13.4249 | − | 5.26887i | −0.569341 | − | 0.223450i | ||||
\(557\) | 4.11011 | − | 15.3391i | 0.174151 | − | 0.649940i | −0.822544 | − | 0.568702i | \(-0.807446\pi\) |
0.996695 | − | 0.0812385i | \(-0.0258875\pi\) | |||||||
\(558\) | 3.30162 | − | 0.884667i | 0.139769 | − | 0.0374509i | ||||
\(559\) | 7.97819 | + | 10.0043i | 0.337442 | + | 0.423138i | ||||
\(560\) | 0.161655 | + | 1.26072i | 0.00683116 | + | 0.0532754i | ||||
\(561\) | 5.70708 | − | 7.15645i | 0.240953 | − | 0.302146i | ||||
\(562\) | 10.3581 | − | 23.7410i | 0.436930 | − | 1.00145i | ||||
\(563\) | −14.8617 | + | 17.2696i | −0.626345 | + | 0.727826i | −0.978070 | − | 0.208278i | \(-0.933214\pi\) |
0.351725 | + | 0.936103i | \(0.385595\pi\) | |||||||
\(564\) | 6.75151 | − | 0.505956i | 0.284290 | − | 0.0213046i | ||||
\(565\) | −8.19329 | − | 0.963838i | −0.344694 | − | 0.0405490i | ||||
\(566\) | 6.92368 | + | 5.52145i | 0.291024 | + | 0.232084i | ||||
\(567\) | −0.696755 | + | 0.386474i | −0.0292610 | + | 0.0162304i | ||||
\(568\) | 13.7709 | + | 1.55160i | 0.577813 | + | 0.0651039i | ||||
\(569\) | 11.1700 | + | 6.44899i | 0.468270 | + | 0.270356i | 0.715515 | − | 0.698597i | \(-0.246192\pi\) |
−0.247245 | + | 0.968953i | \(0.579525\pi\) | |||||||
\(570\) | 4.74307 | − | 5.06185i | 0.198665 | − | 0.212017i | ||||
\(571\) | 11.6018 | − | 29.5610i | 0.485521 | − | 1.23709i | −0.452889 | − | 0.891567i | \(-0.649607\pi\) |
0.938411 | − | 0.345522i | \(-0.112298\pi\) | |||||||
\(572\) | 5.57569 | − | 2.94684i | 0.233131 | − | 0.123214i | ||||
\(573\) | −4.95480 | − | 14.1600i | −0.206990 | − | 0.591543i | ||||
\(574\) | −14.3930 | − | 2.98017i | −0.600753 | − | 0.124390i | ||||
\(575\) | 4.99565 | + | 19.4026i | 0.208333 | + | 0.809143i | ||||
\(576\) | 10.2038 | − | 1.53798i | 0.425159 | − | 0.0640825i | ||||
\(577\) | −31.6354 | + | 5.98575i | −1.31700 | + | 0.249190i | −0.796483 | − | 0.604661i | \(-0.793309\pi\) |
−0.520517 | + | 0.853851i | \(0.674261\pi\) | |||||||
\(578\) | −0.140417 | + | 3.75273i | −0.00584058 | + | 0.156093i | ||||
\(579\) | −17.7678 | + | 12.1139i | −0.738405 | + | 0.503436i | ||||
\(580\) | −0.751732 | − | 10.7368i | −0.0312140 | − | 0.445823i | ||||
\(581\) | 3.00712 | − | 8.14258i | 0.124756 | − | 0.337811i | ||||
\(582\) | 2.48468 | − | 3.95434i | 0.102993 | − | 0.163913i | ||||
\(583\) | 23.2160 | − | 0.868683i | 0.961510 | − | 0.0359772i | ||||
\(584\) | −3.47828 | − | 0.524266i | −0.143932 | − | 0.0216943i | ||||
\(585\) | −1.76623 | + | 9.09071i | −0.0730248 | + | 0.375855i | ||||
\(586\) | 23.6243 | + | 1.77040i | 0.975913 | + | 0.0731345i | ||||
\(587\) | 18.1200 | − | 18.1200i | 0.747891 | − | 0.747891i | −0.226192 | − | 0.974083i | \(-0.572628\pi\) |
0.974083 | + | 0.226192i | \(0.0726277\pi\) | |||||||
\(588\) | −7.87102 | − | 3.76090i | −0.324595 | − | 0.155097i | ||||
\(589\) | 6.54974i | 0.269877i | ||||||||
\(590\) | −15.0316 | + | 23.6645i | −0.618842 | + | 0.974253i | ||||
\(591\) | −1.96967 | − | 6.38551i | −0.0810213 | − | 0.262665i | ||||
\(592\) | −1.12256 | − | 1.52101i | −0.0461368 | − | 0.0625132i | ||||
\(593\) | 0.310144 | + | 8.28879i | 0.0127361 | + | 0.340380i | 0.991070 | + | 0.133345i | \(0.0425718\pi\) |
−0.978334 | + | 0.207035i | \(0.933619\pi\) | |||||||
\(594\) | 2.51056 | + | 10.9995i | 0.103009 | + | 0.451314i | ||||
\(595\) | 14.1757 | − | 15.7554i | 0.581148 | − | 0.645908i | ||||
\(596\) | 3.22564 | − | 14.1324i | 0.132127 | − | 0.578887i | ||||
\(597\) | 12.6281 | + | 2.38936i | 0.516833 | + | 0.0977901i | ||||
\(598\) | 7.87296 | + | 0.294586i | 0.321949 | + | 0.0120465i | ||||
\(599\) | −1.39873 | + | 2.05156i | −0.0571506 | + | 0.0838246i | −0.853750 | − | 0.520683i | \(-0.825678\pi\) |
0.796600 | + | 0.604507i | \(0.206630\pi\) | |||||||
\(600\) | 11.1514 | − | 10.1455i | 0.455255 | − | 0.414187i | ||||
\(601\) | −5.20976 | − | 10.8182i | −0.212511 | − | 0.441283i | 0.767279 | − | 0.641313i | \(-0.221610\pi\) |
−0.979790 | + | 0.200031i | \(0.935896\pi\) | |||||||
\(602\) | 11.9942 | + | 7.20227i | 0.488848 | + | 0.293542i | ||||
\(603\) | −27.2450 | + | 9.53344i | −1.10950 | + | 0.388232i | ||||
\(604\) | −2.21488 | + | 7.18046i | −0.0901222 | + | 0.292169i | ||||
\(605\) | 0.902944 | − | 11.3054i | 0.0367099 | − | 0.459629i | ||||
\(606\) | −5.38151 | − | 9.32105i | −0.218609 | − | 0.378642i | ||||
\(607\) | 6.13329 | + | 22.8897i | 0.248942 | + | 0.929066i | 0.971361 | + | 0.237610i | \(0.0763639\pi\) |
−0.722418 | + | 0.691456i | \(0.756969\pi\) | |||||||
\(608\) | −2.03888 | + | 18.0956i | −0.0826875 | + | 0.733872i | ||||
\(609\) | −9.85842 | − | 5.42891i | −0.399484 | − | 0.219991i | ||||
\(610\) | −5.88212 | − | 13.6642i | −0.238160 | − | 0.553248i | ||||
\(611\) | 4.32944 | + | 11.0312i | 0.175150 | + | 0.446276i | ||||
\(612\) | −6.12238 | − | 5.26873i | −0.247482 | − | 0.212976i | ||||
\(613\) | 36.1661 | + | 31.1235i | 1.46074 | + | 1.25707i | 0.904797 | + | 0.425844i | \(0.140023\pi\) |
0.555940 | + | 0.831222i | \(0.312358\pi\) | |||||||
\(614\) | −0.117769 | − | 0.300070i | −0.00475277 | − | 0.0121099i | ||||
\(615\) | 5.71844 | + | 13.2840i | 0.230590 | + | 0.535663i | ||||
\(616\) | 12.3118 | − | 13.8193i | 0.496056 | − | 0.556797i | ||||
\(617\) | 1.14224 | − | 10.1377i | 0.0459849 | − | 0.408128i | −0.949541 | − | 0.313642i | \(-0.898451\pi\) |
0.995526 | − | 0.0944855i | \(-0.0301206\pi\) | |||||||
\(618\) | −3.19435 | − | 11.9215i | −0.128496 | − | 0.479552i | ||||
\(619\) | 10.3464 | + | 17.9205i | 0.415858 | + | 0.720286i | 0.995518 | − | 0.0945716i | \(-0.0301481\pi\) |
−0.579660 | + | 0.814858i | \(0.696815\pi\) | |||||||
\(620\) | −0.422211 | + | 5.28632i | −0.0169564 | + | 0.212304i | ||||
\(621\) | 6.07187 | − | 19.6845i | 0.243656 | − | 0.789913i | ||||
\(622\) | −3.65625 | + | 1.27938i | −0.146602 | + | 0.0512983i | ||||
\(623\) | 20.3851 | + | 1.88016i | 0.816711 | + | 0.0753271i | ||||
\(624\) | −0.213382 | − | 0.443092i | −0.00854210 | − | 0.0177379i | ||||
\(625\) | −6.03960 | + | 24.2595i | −0.241584 | + | 0.970380i | ||||
\(626\) | 1.71947 | − | 2.52200i | 0.0687240 | − | 0.100800i | ||||
\(627\) | −8.37358 | − | 0.313317i | −0.334409 | − | 0.0125127i | ||||
\(628\) | −6.96950 | − | 1.31870i | −0.278113 | − | 0.0526219i | ||||
\(629\) | −7.01414 | + | 30.7310i | −0.279672 | + | 1.22532i | ||||
\(630\) | 1.66236 | + | 9.98776i | 0.0662300 | + | 0.397922i | ||||
\(631\) | 7.21928 | + | 31.6297i | 0.287395 | + | 1.25916i | 0.888086 | + | 0.459678i | \(0.152035\pi\) |
−0.600691 | + | 0.799481i | \(0.705108\pi\) | |||||||
\(632\) | 1.14791 | + | 30.6784i | 0.0456612 | + | 1.22032i | ||||
\(633\) | −12.0991 | − | 16.3937i | −0.480898 | − | 0.651593i | ||||
\(634\) | 2.01156 | + | 6.52132i | 0.0798893 | + | 0.258995i | ||||
\(635\) | −7.76798 | + | 12.2293i | −0.308263 | + | 0.485303i | ||||
\(636\) | 11.8912i | 0.471516i | ||||||||
\(637\) | 2.22953 | − | 15.1050i | 0.0883373 | − | 0.598482i | ||||
\(638\) | 6.29029 | − | 6.29029i | 0.249035 | − | 0.249035i | ||||
\(639\) | 9.13227 | + | 0.684369i | 0.361267 | + | 0.0270732i | ||||
\(640\) | −2.64689 | + | 13.6234i | −0.104628 | + | 0.538512i | ||||
\(641\) | 15.1385 | + | 2.28177i | 0.597936 | + | 0.0901244i | 0.441035 | − | 0.897490i | \(-0.354611\pi\) |
0.156901 | + | 0.987614i | \(0.449850\pi\) | |||||||
\(642\) | −10.6928 | + | 0.400097i | −0.422012 | + | 0.0157906i | ||||
\(643\) | 9.23696 | − | 14.7005i | 0.364270 | − | 0.579732i | −0.613427 | − | 0.789751i | \(-0.710210\pi\) |
0.977697 | + | 0.210019i | \(0.0673525\pi\) | |||||||
\(644\) | −11.9527 | + | 3.95340i | −0.471002 | + | 0.155786i | ||||
\(645\) | −0.961468 | − | 13.7325i | −0.0378578 | − | 0.540715i | ||||
\(646\) | −8.74991 | + | 5.96559i | −0.344261 | + | 0.234713i | ||||
\(647\) | −0.488992 | + | 13.0686i | −0.0192243 | + | 0.513779i | 0.956105 | + | 0.293024i | \(0.0946617\pi\) |
−0.975329 | + | 0.220755i | \(0.929148\pi\) | |||||||
\(648\) | 0.850165 | − | 0.160860i | 0.0333977 | − | 0.00631918i | ||||
\(649\) | 33.4872 | − | 5.04738i | 1.31449 | − | 0.198127i | ||||
\(650\) | 8.46507 | + | 4.99854i | 0.332027 | + | 0.196059i | ||||
\(651\) | 4.40446 | + | 3.36898i | 0.172624 | + | 0.132041i | ||||
\(652\) | −6.23353 | − | 17.8144i | −0.244124 | − | 0.697666i | ||||
\(653\) | 40.8396 | − | 21.5844i | 1.59818 | − | 0.844662i | 0.599148 | − | 0.800638i | \(-0.295506\pi\) |
0.999030 | − | 0.0440236i | \(-0.0140177\pi\) | |||||||
\(654\) | 4.59002 | − | 11.6952i | 0.179484 | − | 0.457318i | ||||
\(655\) | 12.4059 | − | 13.2396i | 0.484737 | − | 0.517315i | ||||
\(656\) | 1.14674 | + | 0.662070i | 0.0447726 | + | 0.0258495i | ||||
\(657\) | −2.30992 | − | 0.260265i | −0.0901185 | − | 0.0101539i | ||||
\(658\) | 8.64834 | + | 9.64779i | 0.337147 | + | 0.376110i | ||||
\(659\) | −30.6820 | − | 24.4681i | −1.19520 | − | 0.953140i | −0.195579 | − | 0.980688i | \(-0.562659\pi\) |
−0.999620 | + | 0.0275477i | \(0.991230\pi\) | |||||||
\(660\) | −6.73815 | − | 0.792660i | −0.262282 | − | 0.0308542i | ||||
\(661\) | 15.2547 | − | 1.14318i | 0.593340 | − | 0.0444646i | 0.225323 | − | 0.974284i | \(-0.427656\pi\) |
0.368016 | + | 0.929819i | \(0.380037\pi\) | |||||||
\(662\) | −9.99070 | + | 11.6094i | −0.388300 | + | 0.451212i | ||||
\(663\) | −3.27927 | + | 7.51616i | −0.127356 | + | 0.291903i | ||||
\(664\) | −5.87716 | + | 7.36973i | −0.228078 | + | 0.286001i | ||||
\(665\) | −19.3108 | − | 1.87655i | −0.748843 | − | 0.0727694i | ||||
\(666\) | −9.38908 | − | 11.7735i | −0.363819 | − | 0.456215i | ||||
\(667\) | −15.6889 | + | 4.20382i | −0.607475 | + | 0.162772i | ||||
\(668\) | 0.674455 | − | 2.51710i | 0.0260954 | − | 0.0973895i | ||||
\(669\) | 25.8910 | + | 10.1615i | 1.00100 | + | 0.392865i | ||||
\(670\) | −0.150132 | + | 30.6411i | −0.00580010 | + | 1.18377i | ||||
\(671\) | −7.79706 | + | 16.1908i | −0.301002 | + | 0.625038i | ||||
\(672\) | 11.1199 | + | 10.6789i | 0.428959 | + | 0.411947i | ||||
\(673\) | 5.17333 | − | 14.7845i | 0.199417 | − | 0.569901i | −0.800135 | − | 0.599820i | \(-0.795239\pi\) |
0.999552 | + | 0.0299183i | \(0.00952470\pi\) | |||||||
\(674\) | −1.63674 | − | 10.8590i | −0.0630448 | − | 0.418275i | ||||
\(675\) | 18.3528 | − | 17.9966i | 0.706401 | − | 0.692691i | ||||
\(676\) | 7.17483 | − | 6.65727i | 0.275955 | − | 0.256049i | ||||
\(677\) | −0.546005 | + | 2.88570i | −0.0209847 | + | 0.110907i | −0.991493 | − | 0.130162i | \(-0.958450\pi\) |
0.970508 | + | 0.241069i | \(0.0774979\pi\) | |||||||
\(678\) | 2.95505 | − | 1.85678i | 0.113488 | − | 0.0713092i | ||||
\(679\) | −13.0033 | + | 1.23940i | −0.499019 | + | 0.0475638i | ||||
\(680\) | −19.9884 | + | 11.4101i | −0.766518 | + | 0.437556i | ||||
\(681\) | 9.83538 | + | 9.12590i | 0.376893 | + | 0.349705i | ||||
\(682\) | −3.52663 | + | 2.60277i | −0.135042 | + | 0.0996653i | ||||
\(683\) | −12.1671 | + | 23.0213i | −0.465563 | + | 0.880887i | 0.533815 | + | 0.845601i | \(0.320758\pi\) |
−0.999377 | + | 0.0352859i | \(0.988766\pi\) | |||||||
\(684\) | −0.552577 | + | 7.37363i | −0.0211283 | + | 0.281938i | ||||
\(685\) | −20.6314 | − | 11.0337i | −0.788287 | − | 0.421576i | ||||
\(686\) | −3.48464 | − | 16.3262i | −0.133044 | − | 0.623337i | ||||
\(687\) | −3.17208 | − | 3.17208i | −0.121022 | − | 0.121022i | ||||
\(688\) | −0.822127 | − | 0.955328i | −0.0313433 | − | 0.0364216i | ||||
\(689\) | −19.8886 | + | 6.13483i | −0.757697 | + | 0.233718i | ||||
\(690\) | −6.79481 | − | 5.06641i | −0.258674 | − | 0.192875i | ||||
\(691\) | −3.23269 | + | 3.48401i | −0.122977 | + | 0.132538i | −0.791539 | − | 0.611119i | \(-0.790720\pi\) |
0.668562 | + | 0.743657i | \(0.266910\pi\) | |||||||
\(692\) | 17.5298 | + | 11.0147i | 0.666383 | + | 0.418716i | ||||
\(693\) | 7.78892 | − | 9.43015i | 0.295877 | − | 0.358222i | ||||
\(694\) | 13.9029 | + | 3.17326i | 0.527749 | + | 0.120455i | ||||
\(695\) | −17.0355 | + | 21.1484i | −0.646193 | + | 0.802206i | ||||
\(696\) | 8.31294 | + | 8.95922i | 0.315101 | + | 0.339598i | ||||
\(697\) | −4.10479 | − | 21.6943i | −0.155480 | − | 0.821731i | ||||
\(698\) | −10.0672 | − | 7.42997i | −0.381051 | − | 0.281228i | ||||
\(699\) | −15.3375 | + | 7.38616i | −0.580118 | + | 0.279370i | ||||
\(700\) | −15.4649 | − | 2.75939i | −0.584518 | − | 0.104295i | ||||
\(701\) | −10.6535 | − | 5.13046i | −0.402377 | − | 0.193775i | 0.221739 | − | 0.975106i | \(-0.428827\pi\) |
−0.624117 | + | 0.781331i | \(0.714541\pi\) | |||||||
\(702\) | −4.72297 | − | 8.93630i | −0.178257 | − | 0.337279i | ||||
\(703\) | 26.4482 | − | 11.5392i | 0.997513 | − | 0.435210i | ||||
\(704\) | −11.4596 | + | 6.61620i | −0.431900 | + | 0.249357i | ||||
\(705\) | 2.89773 | − | 12.4151i | 0.109135 | − | 0.467579i | ||||
\(706\) | 6.92583 | − | 5.52317i | 0.260657 | − | 0.207867i | ||||
\(707\) | −11.4776 | + | 27.8297i | −0.431661 | + | 1.04664i | ||||
\(708\) | 1.94075 | + | 17.2247i | 0.0729379 | + | 0.647342i | ||||
\(709\) | −39.7035 | + | 15.5825i | −1.49110 | + | 0.585212i | −0.964308 | − | 0.264784i | \(-0.914699\pi\) |
−0.526788 | + | 0.849996i | \(0.676604\pi\) | |||||||
\(710\) | 3.93118 | − | 8.89125i | 0.147535 | − | 0.333683i | ||||
\(711\) | 1.51609 | + | 20.2309i | 0.0568580 | + | 0.758717i | ||||
\(712\) | −20.3764 | − | 8.89012i | −0.763637 | − | 0.333171i | ||||
\(713\) | 7.95250 | − | 0.896031i | 0.297823 | − | 0.0335566i | ||||
\(714\) | −0.489043 | + | 8.95251i | −0.0183020 | + | 0.335039i | ||||
\(715\) | −2.15054 | − | 11.6789i | −0.0804258 | − | 0.436765i | ||||
\(716\) | 6.44187 | − | 11.1576i | 0.240744 | − | 0.416981i | ||||
\(717\) | 16.8032 | + | 4.50239i | 0.627525 | + | 0.168145i | ||||
\(718\) | −6.55249 | − | 15.0185i | −0.244537 | − | 0.560484i | ||||
\(719\) | 36.8327 | + | 11.3614i | 1.37363 | + | 0.423708i | 0.891749 | − | 0.452529i | \(-0.149478\pi\) |
0.481879 | + | 0.876238i | \(0.339954\pi\) | |||||||
\(720\) | 0.140367 | − | 0.901289i | 0.00523118 | − | 0.0335891i | ||||
\(721\) | −20.9725 | + | 27.4186i | −0.781058 | + | 1.02112i | ||||
\(722\) | −7.01476 | − | 2.45457i | −0.261062 | − | 0.0913497i | ||||
\(723\) | −8.14133 | + | 11.0311i | −0.302779 | + | 0.410252i | ||||
\(724\) | 24.1456 | + | 16.4622i | 0.897363 | + | 0.611812i | ||||
\(725\) | −19.7138 | − | 4.70324i | −0.732151 | − | 0.174674i | ||||
\(726\) | 2.70272 | + | 3.96416i | 0.100307 | + | 0.147124i | ||||
\(727\) | 22.6104 | + | 35.9842i | 0.838572 | + | 1.33458i | 0.940502 | + | 0.339789i | \(0.110356\pi\) |
−0.101929 | + | 0.994792i | \(0.532502\pi\) | |||||||
\(728\) | −7.44974 | + | 14.8133i | −0.276106 | + | 0.549019i | ||||
\(729\) | −15.2216 | + | 3.47423i | −0.563763 | + | 0.128675i | ||||
\(730\) | −1.08154 | + | 2.21797i | −0.0400295 | + | 0.0820907i | ||||
\(731\) | −3.13227 | + | 20.7813i | −0.115851 | + | 0.768623i | ||||
\(732\) | −8.13204 | − | 4.29791i | −0.300569 | − | 0.158855i | ||||
\(733\) | −24.9862 | + | 21.5024i | −0.922888 | + | 0.794209i | −0.978925 | − | 0.204219i | \(-0.934534\pi\) |
0.0560370 | + | 0.998429i | \(0.482154\pi\) | |||||||
\(734\) | −28.3795 | −1.04750 | ||||||||
\(735\) | −11.1948 | + | 12.0206i | −0.412927 | + | 0.443387i | ||||
\(736\) | 22.2500 | 0.820147 | ||||||||
\(737\) | 28.0556 | − | 24.1438i | 1.03344 | − | 0.889348i | ||||
\(738\) | 9.32574 | + | 4.92879i | 0.343285 | + | 0.181431i | ||||
\(739\) | 5.78429 | − | 38.3763i | 0.212779 | − | 1.41169i | −0.586119 | − | 0.810225i | \(-0.699345\pi\) |
0.798897 | − | 0.601468i | \(-0.205417\pi\) | |||||||
\(740\) | 22.0903 | − | 7.60845i | 0.812055 | − | 0.279692i | ||||
\(741\) | 7.31875 | − | 1.67046i | 0.268861 | − | 0.0613658i | ||||
\(742\) | −18.0325 | + | 13.8806i | −0.661994 | + | 0.509574i | ||||
\(743\) | −5.72827 | − | 9.11649i | −0.210150 | − | 0.334451i | 0.724972 | − | 0.688779i | \(-0.241853\pi\) |
−0.935122 | + | 0.354327i | \(0.884710\pi\) | |||||||
\(744\) | −3.39224 | − | 4.97550i | −0.124365 | − | 0.182411i | ||||
\(745\) | −23.5717 | − | 13.7636i | −0.863601 | − | 0.504258i | ||||
\(746\) | 3.75046 | + | 2.55702i | 0.137314 | + | 0.0936193i | ||||
\(747\) | −3.69903 | + | 5.01200i | −0.135340 | + | 0.183380i | ||||
\(748\) | 9.77649 | + | 3.42094i | 0.357464 | + | 0.125082i | ||||
\(749\) | 19.1294 | + | 23.0166i | 0.698971 | + | 0.841007i | ||||
\(750\) | −4.44819 | − | 9.59503i | −0.162425 | − | 0.350361i | ||||
\(751\) | 23.5201 | + | 7.25500i | 0.858262 | + | 0.264739i | 0.692492 | − | 0.721426i | \(-0.256513\pi\) |
0.165770 | + | 0.986164i | \(0.446989\pi\) | |||||||
\(752\) | −0.466767 | − | 1.06984i | −0.0170213 | − | 0.0390131i | ||||
\(753\) | −23.1393 | − | 6.20016i | −0.843243 | − | 0.225946i | ||||
\(754\) | −3.98479 | + | 6.90185i | −0.145117 | + | 0.251351i | ||||
\(755\) | 11.6517 | + | 8.02787i | 0.424047 | + | 0.292164i | ||||
\(756\) | 12.0598 | + | 10.7442i | 0.438609 | + | 0.390762i | ||||
\(757\) | −13.6048 | + | 1.53289i | −0.494473 | + | 0.0557138i | −0.355680 | − | 0.934608i | \(-0.615751\pi\) |
−0.138793 | + | 0.990321i | \(0.544322\pi\) | |||||||
\(758\) | −6.81258 | − | 2.97230i | −0.247444 | − | 0.107959i | ||||
\(759\) | 0.765120 | + | 10.2098i | 0.0277721 | + | 0.370593i | ||||
\(760\) | 19.2700 | + | 8.52006i | 0.698998 | + | 0.309055i | ||||
\(761\) | 2.36659 | − | 0.928820i | 0.0857890 | − | 0.0336697i | −0.322058 | − | 0.946720i | \(-0.604375\pi\) |
0.407847 | + | 0.913050i | \(0.366280\pi\) | |||||||
\(762\) | −0.686219 | − | 6.09036i | −0.0248591 | − | 0.220630i | ||||
\(763\) | −33.7516 | + | 9.77953i | −1.22189 | + | 0.354043i | ||||
\(764\) | 13.2721 | − | 10.5841i | 0.480167 | − | 0.382920i | ||||
\(765\) | −12.9179 | + | 8.02882i | −0.467046 | + | 0.290282i | ||||
\(766\) | 16.0172 | − | 9.24751i | 0.578724 | − | 0.334126i | ||||
\(767\) | −27.8079 | + | 12.1325i | −1.00408 | + | 0.438078i | ||||
\(768\) | −8.07343 | − | 15.2757i | −0.291325 | − | 0.551213i | ||||
\(769\) | 2.11058 | + | 1.01640i | 0.0761094 | + | 0.0366524i | 0.471551 | − | 0.881839i | \(-0.343694\pi\) |
−0.395442 | + | 0.918491i | \(0.629409\pi\) | |||||||
\(770\) | −6.66345 | − | 11.1434i | −0.240134 | − | 0.401581i | ||||
\(771\) | −15.4513 | + | 7.44096i | −0.556465 | + | 0.267979i | ||||
\(772\) | −19.5788 | − | 14.4498i | −0.704658 | − | 0.520061i | ||||
\(773\) | −6.31554 | − | 33.3784i | −0.227154 | − | 1.20054i | −0.891468 | − | 0.453084i | \(-0.850324\pi\) |
0.664314 | − | 0.747454i | \(-0.268724\pi\) | |||||||
\(774\) | −6.82903 | − | 7.35995i | −0.245464 | − | 0.264548i | ||||
\(775\) | 9.25938 | + | 3.73916i | 0.332607 | + | 0.134315i | ||||
\(776\) | 13.8293 | + | 3.15646i | 0.496444 | + | 0.113310i | ||||
\(777\) | 5.84443 | − | 23.7209i | 0.209668 | − | 0.850982i | ||||
\(778\) | −19.4188 | − | 12.2017i | −0.696199 | − | 0.437451i | ||||
\(779\) | −13.7478 | + | 14.8166i | −0.492567 | + | 0.530861i | ||||
\(780\) | 6.01467 | − | 0.876449i | 0.215360 | − | 0.0313819i | ||||
\(781\) | −11.2216 | + | 3.46142i | −0.401542 | + | 0.123859i | ||||
\(782\) | 8.44026 | + | 9.80776i | 0.301823 | + | 0.350725i | ||||
\(783\) | 14.7346 | + | 14.7346i | 0.526573 | + | 0.526573i | ||||
\(784\) | −0.163819 | + | 1.49497i | −0.00585067 | + | 0.0533919i | ||||
\(785\) | −6.29883 | + | 11.7779i | −0.224815 | + | 0.420372i | ||||
\(786\) | −0.573589 | + | 7.65401i | −0.0204592 | + | 0.273010i | ||||
\(787\) | −9.83843 | + | 18.6152i | −0.350702 | + | 0.663561i | −0.994852 | − | 0.101339i | \(-0.967687\pi\) |
0.644150 | + | 0.764899i | \(0.277211\pi\) | |||||||
\(788\) | 6.08402 | − | 4.49021i | 0.216734 | − | 0.159957i | ||||
\(789\) | −5.85314 | − | 5.43092i | −0.208377 | − | 0.193346i | ||||
\(790\) | 20.7749 | + | 5.67587i | 0.739139 | + | 0.201938i | ||||
\(791\) | −9.15679 | − | 3.38168i | −0.325578 | − | 0.120239i | ||||
\(792\) | −11.2464 | + | 7.06658i | −0.399623 | + | 0.251100i | ||||
\(793\) | 2.99305 | − | 15.8186i | 0.106286 | − | 0.561736i | ||||
\(794\) | 19.1552 | − | 17.7734i | 0.679792 | − | 0.630754i | ||||
\(795\) | 21.3638 | + | 6.70466i | 0.757695 | + | 0.237790i | ||||
\(796\) | 2.16753 | + | 14.3806i | 0.0768261 | + | 0.509708i | ||||
\(797\) | 1.02795 | − | 2.93772i | 0.0364120 | − | 0.104059i | −0.924242 | − | 0.381807i | \(-0.875302\pi\) |
0.960654 | + | 0.277747i | \(0.0895878\pi\) | |||||||
\(798\) | 6.85993 | − | 4.50644i | 0.242839 | − | 0.159526i | ||||
\(799\) | −8.44465 | + | 17.5355i | −0.298750 | + | 0.620361i | ||||
\(800\) | 24.4178 | + | 13.2129i | 0.863299 | + | 0.467146i | ||||
\(801\) | −13.6757 | − | 5.36732i | −0.483207 | − | 0.189645i | ||||
\(802\) | 4.05020 | − | 15.1156i | 0.143018 | − | 0.533749i | ||||
\(803\) | 2.87924 | − | 0.771489i | 0.101606 | − | 0.0272253i | ||||
\(804\) | 11.8121 | + | 14.8120i | 0.416582 | + | 0.522378i | ||||
\(805\) | 0.363356 | + | 23.7034i | 0.0128066 | + | 0.835434i | ||||
\(806\) | 2.44827 | − | 3.07004i | 0.0862367 | − | 0.108137i | ||||
\(807\) | −12.0788 | + | 27.6849i | −0.425194 | + | 0.974556i | ||||
\(808\) | 21.3241 | − | 24.7790i | 0.750178 | − | 0.871723i | ||||
\(809\) | 20.4402 | − | 1.53178i | 0.718640 | − | 0.0538546i | 0.289610 | − | 0.957145i | \(-0.406474\pi\) |
0.429030 | + | 0.903290i | \(0.358855\pi\) | |||||||
\(810\) | 0.0709150 | − | 0.602826i | 0.00249170 | − | 0.0211811i | ||||
\(811\) | 23.5099 | + | 18.7485i | 0.825544 | + | 0.658349i | 0.942285 | − | 0.334813i | \(-0.108673\pi\) |
−0.116741 | + | 0.993162i | \(0.537245\pi\) | |||||||
\(812\) | 2.11403 | − | 12.5584i | 0.0741878 | − | 0.440714i | ||||
\(813\) | −13.7602 | − | 1.55040i | −0.482590 | − | 0.0543749i | ||||
\(814\) | 16.7233 | + | 9.65520i | 0.586151 | + | 0.338415i | ||||
\(815\) | −35.5202 | + | 1.15482i | −1.24422 | + | 0.0404517i | ||||
\(816\) | 0.295092 | − | 0.751881i | 0.0103303 | − | 0.0263211i | ||||
\(817\) | 17.0094 | − | 8.98974i | 0.595084 | − | 0.314511i | ||||
\(818\) | −0.168553 | − | 0.481697i | −0.00589332 | − | 0.0168421i | ||||
\(819\) | −4.55359 | + | 9.96643i | −0.159115 | + | 0.348255i | ||||
\(820\) | −12.0510 | + | 11.0723i | −0.420840 | + | 0.386663i | ||||
\(821\) | 28.1464 | − | 4.24239i | 0.982316 | − | 0.148060i | 0.361801 | − | 0.932255i | \(-0.382162\pi\) |
0.620515 | + | 0.784195i | \(0.286924\pi\) | |||||||
\(822\) | 9.72510 | − | 1.84009i | 0.339202 | − | 0.0641804i | ||||
\(823\) | 0.158992 | − | 4.24916i | 0.00554212 | − | 0.148116i | −0.993782 | − | 0.111347i | \(-0.964484\pi\) |
0.999324 | − | 0.0367698i | \(-0.0117068\pi\) | |||||||
\(824\) | 30.9734 | − | 21.1173i | 1.07901 | − | 0.735656i | ||||
\(825\) | −5.22331 | + | 11.6589i | −0.181852 | + | 0.405910i | ||||
\(826\) | −23.8550 | + | 23.0495i | −0.830023 | + | 0.801995i | ||||
\(827\) | −10.0532 | + | 15.9996i | −0.349584 | + | 0.556360i | −0.974516 | − | 0.224320i | \(-0.927984\pi\) |
0.624931 | + | 0.780680i | \(0.285127\pi\) | |||||||
\(828\) | 9.02844 | − | 0.337820i | 0.313760 | − | 0.0117401i | ||||
\(829\) | −32.8594 | − | 4.95275i | −1.14125 | − | 0.172016i | −0.448905 | − | 0.893580i | \(-0.648186\pi\) |
−0.692348 | + | 0.721563i | \(0.743424\pi\) | |||||||
\(830\) | 3.69821 | + | 5.48179i | 0.128367 | + | 0.190276i | ||||
\(831\) | 6.85414 | + | 0.513647i | 0.237767 | + | 0.0178182i | ||||
\(832\) | 8.38249 | − | 8.38249i | 0.290611 | − | 0.290611i | ||||
\(833\) | 20.6763 | − | 14.1896i | 0.716393 | − | 0.491642i | ||||
\(834\) | − | 11.4882i | − | 0.397802i | ||||||
\(835\) | −4.14196 | − | 2.63096i | −0.143338 | − | 0.0910481i | ||||
\(836\) | −2.79484 | − | 9.06064i | −0.0966615 | − | 0.313369i | ||||
\(837\) | −6.09684 | − | 8.26092i | −0.210737 | − | 0.285539i | ||||
\(838\) | 1.23290 | + | 32.9498i | 0.0425897 | + | 1.13823i | ||||
\(839\) | 4.09479 | + | 17.9405i | 0.141368 | + | 0.619373i | 0.995118 | + | 0.0986905i | \(0.0314654\pi\) |
−0.853750 | + | 0.520683i | \(0.825677\pi\) | |||||||
\(840\) | 15.6414 | − | 8.57595i | 0.539678 | − | 0.295898i | ||||
\(841\) | −2.79706 | + | 12.2547i | −0.0964504 | + | 0.422577i | ||||
\(842\) | −27.1373 | − | 5.13466i | −0.935214 | − | 0.176952i | ||||
\(843\) | −30.1353 | − | 1.12758i | −1.03791 | − | 0.0388360i | ||||
\(844\) | 12.9878 | − | 19.0496i | 0.447058 | − | 0.655713i | ||||
\(845\) | −7.91508 | − | 16.6439i | −0.272287 | − | 0.572569i | ||||
\(846\) | −4.03433 | − | 8.37737i | −0.138703 | − | 0.288020i | ||||
\(847\) | 4.17501 | − | 12.7533i | 0.143455 | − | 0.438208i | ||||
\(848\) | 1.93501 | − | 0.677090i | 0.0664486 | − | 0.0232514i | ||||
\(849\) | 3.03897 | − | 9.85210i | 0.104297 | − | 0.338123i | ||||
\(850\) | 3.43836 | + | 15.7754i | 0.117935 | + | 0.541093i | ||||
\(851\) | −17.6288 | − | 30.5340i | −0.604308 | − | 1.04669i | ||||
\(852\) | −1.55568 | − | 5.80589i | −0.0532969 | − | 0.198907i | ||||
\(853\) | −4.46129 | + | 39.5951i | −0.152752 | + | 1.35571i | 0.650244 | + | 0.759725i | \(0.274667\pi\) |
−0.802996 | + | 0.595984i | \(0.796762\pi\) | |||||||
\(854\) | −2.97497 | − | 17.3489i | −0.101801 | − | 0.593667i | ||||
\(855\) | 12.9360 | + | 5.15028i | 0.442401 | + | 0.176136i | ||||
\(856\) | −11.8738 | − | 30.2541i | −0.405840 | − | 1.03406i | ||||
\(857\) | −29.0365 | − | 24.9879i | −0.991867 | − | 0.853571i | −0.00264569 | − | 0.999997i | \(-0.500842\pi\) |
−0.989222 | + | 0.146426i | \(0.953223\pi\) | |||||||
\(858\) | 3.80780 | + | 3.27688i | 0.129996 | + | 0.111871i | ||||
\(859\) | 13.6281 | + | 34.7237i | 0.464983 | + | 1.18476i | 0.950554 | + | 0.310561i | \(0.100517\pi\) |
−0.485570 | + | 0.874198i | \(0.661388\pi\) | |||||||
\(860\) | 14.3079 | − | 6.15919i | 0.487894 | − | 0.210027i | ||||
\(861\) | 2.89219 | + | 16.8661i | 0.0985656 | + | 0.574796i | ||||
\(862\) | −2.10427 | + | 18.6760i | −0.0716719 | + | 0.636105i | ||||
\(863\) | −10.2202 | − | 38.1424i | −0.347901 | − | 1.29838i | −0.889187 | − | 0.457544i | \(-0.848729\pi\) |
0.541286 | − | 0.840838i | \(-0.317938\pi\) | |||||||
\(864\) | −14.2727 | − | 24.7211i | −0.485568 | − | 0.841029i | ||||
\(865\) | 29.6730 | − | 25.2837i | 1.00891 | − | 0.859672i | ||||
\(866\) | −5.95674 | + | 19.3113i | −0.202418 | + | 0.656224i | ||||
\(867\) | 4.12677 | − | 1.44402i | 0.140152 | − | 0.0490415i | ||||
\(868\) | −1.95221 | + | 5.96336i | −0.0662623 | + | 0.202410i | ||||
\(869\) | −11.2876 | − | 23.4389i | −0.382906 | − | 0.795112i | ||||
\(870\) | 7.74281 | − | 3.68211i | 0.262506 | − | 0.124835i | ||||
\(871\) | −18.6798 | + | 27.3982i | −0.632939 | + | 0.928351i | ||||
\(872\) | 38.1337 | + | 1.42686i | 1.29137 | + | 0.0483197i | ||||
\(873\) | 9.21053 | + | 1.74273i | 0.311729 | + | 0.0589824i | ||||
\(874\) | 2.63584 | − | 11.5483i | 0.0891584 | − | 0.390629i | ||||
\(875\) | −13.6772 | + | 26.2285i | −0.462373 | + | 0.886685i | ||||
\(876\) | 0.339498 | + | 1.48744i | 0.0114706 | + | 0.0502559i | ||||
\(877\) | −0.224539 | − | 6.00094i | −0.00758216 | − | 0.202637i | −0.997942 | − | 0.0641202i | \(-0.979576\pi\) |
0.990360 | − | 0.138517i | \(-0.0442336\pi\) | |||||||
\(878\) | 6.25685 | + | 8.47773i | 0.211158 | + | 0.286109i | ||||
\(879\) | −8.12978 | − | 26.3561i | −0.274211 | − | 0.888969i | ||||
\(880\) | 0.254687 | + | 1.14161i | 0.00858551 | + | 0.0384838i | ||||
\(881\) | − | 24.0485i | − | 0.810215i | −0.914269 | − | 0.405107i | \(-0.867234\pi\) | ||
0.914269 | − | 0.405107i | \(-0.132766\pi\) | |||||||
\(882\) | −0.858777 | + | 11.9494i | −0.0289165 | + | 0.402358i | ||||
\(883\) | 11.9122 | − | 11.9122i | 0.400879 | − | 0.400879i | −0.477664 | − | 0.878543i | \(-0.658516\pi\) |
0.878543 | + | 0.477664i | \(0.158516\pi\) | |||||||
\(884\) | −9.25333 | − | 0.693441i | −0.311223 | − | 0.0233230i | ||||
\(885\) | 32.0402 | + | 6.22509i | 1.07702 | + | 0.209254i | ||||
\(886\) | 25.5941 | + | 3.85770i | 0.859852 | + | 0.129602i | ||||
\(887\) | 54.2110 | − | 2.02843i | 1.82023 | − | 0.0681080i | 0.894672 | − | 0.446724i | \(-0.147409\pi\) |
0.925554 | + | 0.378616i | \(0.123600\pi\) | |||||||
\(888\) | −14.1149 | + | 22.4638i | −0.473666 | + | 0.753836i | ||||
\(889\) | −12.3277 | + | 11.9114i | −0.413458 | + | 0.399497i | ||||
\(890\) | −10.2306 | + | 11.7710i | −0.342929 | + | 0.394564i | ||||
\(891\) | −0.605813 | + | 0.413036i | −0.0202955 | + | 0.0138372i | ||||
\(892\) | −1.17681 | + | 31.4510i | −0.0394026 | + | 1.05306i | ||||
\(893\) | 17.5065 | − | 3.31242i | 0.585834 | − | 0.110846i | ||||
\(894\) | 11.4182 | − | 1.72102i | 0.381882 | − | 0.0575595i | ||||
\(895\) | −16.4138 | − | 17.8646i | −0.548652 | − | 0.597147i | ||||
\(896\) | −6.82404 | + | 14.9357i | −0.227975 | + | 0.498968i | ||||
\(897\) | −3.02946 | − | 8.65769i | −0.101151 | − | 0.289072i | ||||
\(898\) | −26.6932 | + | 14.1078i | −0.890764 | + | 0.470782i | ||||
\(899\) | −2.95757 | + | 7.53575i | −0.0986403 | + | 0.251332i | ||||
\(900\) | 10.1087 | + | 4.99069i | 0.336956 | + | 0.166356i | ||||
\(901\) | −29.6037 | − | 17.0917i | −0.986244 | − | 0.569408i | ||||
\(902\) | −13.4410 | − | 1.51444i | −0.447537 | − | 0.0504253i | ||||
\(903\) | 2.70385 | − | 16.0623i | 0.0899784 | − | 0.534519i | ||||
\(904\) | 8.28767 | + | 6.60920i | 0.275644 | + | 0.219819i | ||||
\(905\) | 43.1902 | − | 34.0982i | 1.43569 | − | 1.13346i | ||||
\(906\) | −5.96904 | + | 0.447318i | −0.198308 | + | 0.0148611i | ||||
\(907\) | 4.64277 | − | 5.39500i | 0.154161 | − | 0.179138i | −0.675581 | − | 0.737286i | \(-0.736107\pi\) |
0.829741 | + | 0.558148i | \(0.188488\pi\) | |||||||
\(908\) | −6.07127 | + | 13.9155i | −0.201482 | + | 0.461802i | ||||
\(909\) | 13.4696 | − | 16.8903i | 0.446758 | − | 0.560217i | ||||
\(910\) | 8.35006 | + | 8.09793i | 0.276802 | + | 0.268444i | ||||
\(911\) | −10.9700 | − | 13.7560i | −0.363453 | − | 0.455756i | 0.566159 | − | 0.824296i | \(-0.308429\pi\) |
−0.929612 | + | 0.368541i | \(0.879858\pi\) | |||||||
\(912\) | −0.714221 | + | 0.191375i | −0.0236502 | + | 0.00633706i | ||||
\(913\) | 2.06741 | − | 7.71567i | 0.0684212 | − | 0.255352i | ||||
\(914\) | 9.33150 | + | 3.66234i | 0.308658 | + | 0.121140i | ||||
\(915\) | −12.3068 | + | 12.1868i | −0.406850 | + | 0.402882i | ||||
\(916\) | 2.20248 | − | 4.57350i | 0.0727720 | − | 0.151113i | ||||
\(917\) | 17.9426 | − | 11.7869i | 0.592518 | − | 0.389239i | ||||
\(918\) | 5.48283 | − | 15.6690i | 0.180960 | − | 0.517155i | ||||
\(919\) | −1.45372 | − | 9.64480i | −0.0479538 | − | 0.318153i | −0.999928 | − | 0.0119754i | \(-0.996188\pi\) |
0.951974 | − | 0.306177i | \(-0.0990501\pi\) | |||||||
\(920\) | 7.70859 | − | 24.5627i | 0.254145 | − | 0.809808i | ||||
\(921\) | −0.275111 | + | 0.255266i | −0.00906522 | + | 0.00841130i | ||||
\(922\) | 4.41810 | − | 23.3502i | 0.145502 | − | 0.768999i | ||||
\(923\) | 8.90807 | − | 5.59731i | 0.293213 | − | 0.184238i | ||||
\(924\) | −7.53053 | − | 2.78109i | −0.247736 | − | 0.0914911i | ||||
\(925\) | −1.21411 | − | 43.9775i | −0.0399198 | − | 1.44597i | ||||
\(926\) | −5.77839 | − | 5.36156i | −0.189890 | − | 0.176192i | ||||
\(927\) | 19.9322 | − | 14.7106i | 0.654660 | − | 0.483161i | ||||
\(928\) | −10.5170 | + | 19.8991i | −0.345236 | + | 0.653219i | ||||
\(929\) | 0.541549 | − | 7.22647i | 0.0177676 | − | 0.237093i | −0.981249 | − | 0.192747i | \(-0.938260\pi\) |
0.999016 | − | 0.0443462i | \(-0.0141205\pi\) | |||||||
\(930\) | −4.04278 | + | 1.22537i | −0.132568 | + | 0.0401815i | ||||
\(931\) | −21.6914 | − | 7.51582i | −0.710905 | − | 0.246321i | ||||
\(932\) | −13.6211 | − | 13.6211i | −0.446172 | − | 0.446172i | ||||
\(933\) | 2.94169 | + | 3.41831i | 0.0963067 | + | 0.111910i | ||||
\(934\) | −18.0843 | + | 5.57828i | −0.591738 | + | 0.182527i | ||||
\(935\) | 11.6584 | − | 15.6357i | 0.381271 | − | 0.511341i | ||||
\(936\) | 8.09357 | − | 8.72279i | 0.264547 | − | 0.285113i | ||||
\(937\) | 43.7543 | + | 27.4926i | 1.42939 | + | 0.898145i | 0.999988 | − | 0.00496794i | \(-0.00158135\pi\) |
0.429402 | + | 0.903113i | \(0.358724\pi\) | |||||||
\(938\) | −8.67336 | + | 35.2027i | −0.283195 | + | 1.14941i | ||||
\(939\) | −3.46461 | − | 0.790774i | −0.113063 | − | 0.0258059i | ||||
\(940\) | 14.3431 | − | 1.54495i | 0.467821 | − | 0.0503908i | ||||
\(941\) | −12.7238 | − | 13.7130i | −0.414784 | − | 0.447031i | 0.490752 | − | 0.871299i | \(-0.336722\pi\) |
−0.905537 | + | 0.424268i | \(0.860531\pi\) | |||||||
\(942\) | −1.05046 | − | 5.55179i | −0.0342257 | − | 0.180887i | ||||
\(943\) | 19.8707 | + | 14.6652i | 0.647078 | + | 0.477565i | ||||
\(944\) | 2.69241 | − | 1.29659i | 0.0876303 | − | 0.0422005i | ||||
\(945\) | 26.1028 | − | 15.6087i | 0.849123 | − | 0.507752i | ||||
\(946\) | 11.5997 | + | 5.58613i | 0.377139 | + | 0.181621i | ||||
\(947\) | −13.1968 | − | 24.9695i | −0.428837 | − | 0.811399i | 0.571118 | − | 0.820868i | \(-0.306510\pi\) |
−0.999955 | + | 0.00946873i | \(0.996986\pi\) | |||||||
\(948\) | 12.2046 | − | 5.32481i | 0.396387 | − | 0.172942i | ||||
\(949\) | −2.31267 | + | 1.33522i | −0.0750725 | + | 0.0433431i | ||||
\(950\) | 9.75047 | − | 11.1082i | 0.316347 | − | 0.360398i | ||||
\(951\) | 6.21193 | − | 4.95385i | 0.201436 | − | 0.160639i | ||||
\(952\) | −26.1567 | + | 7.57892i | −0.847744 | + | 0.245634i | ||||
\(953\) | −4.28474 | − | 38.0281i | −0.138796 | − | 1.23185i | −0.849206 | − | 0.528062i | \(-0.822919\pi\) |
0.710410 | − | 0.703789i | \(-0.248510\pi\) | |||||||
\(954\) | 15.2019 | − | 5.96629i | 0.492178 | − | 0.193166i | ||||
\(955\) | −11.5323 | − | 29.8124i | −0.373175 | − | 0.964707i | ||||
\(956\) | 1.47103 | + | 19.6296i | 0.0475766 | + | 0.634866i | ||||
\(957\) | −9.49268 | − | 4.14162i | −0.306855 | − | 0.133879i | ||||
\(958\) | −16.8933 | + | 1.90342i | −0.545798 | + | 0.0614967i | ||||
\(959\) | −20.6699 | − | 18.4150i | −0.667466 | − | 0.594652i | ||||
\(960\) | −12.5425 | + | 2.30957i | −0.404806 | + | 0.0745409i | ||||
\(961\) | −13.5056 | + | 23.3925i | −0.435666 | + | 0.754596i | ||||
\(962\) | −16.7103 | − | 4.47751i | −0.538762 | − | 0.144361i | ||||
\(963\) | −8.58874 | − | 19.6856i | −0.276768 | − | 0.634360i | ||||
\(964\) | −14.8247 | − | 4.57280i | −0.477470 | − | 0.147280i | ||||
\(965\) | −37.0000 | + | 27.0282i | −1.19107 | + | 0.870068i | ||||
\(966\) | −6.41005 | − | 7.71262i | −0.206240 | − | 0.248149i | ||||
\(967\) | 31.1279 | + | 10.8921i | 1.00100 | + | 0.350267i | 0.780525 | − | 0.625125i | \(-0.214952\pi\) |
0.220480 | + | 0.975391i | \(0.429238\pi\) | |||||||
\(968\) | −8.65361 | + | 11.7252i | −0.278138 | + | 0.376863i | ||||
\(969\) | 10.1870 | + | 6.94536i | 0.327253 | + | 0.223117i | ||||
\(970\) | 5.01763 | − | 8.59328i | 0.161106 | − | 0.275914i | ||||
\(971\) | −3.36764 | − | 4.93942i | −0.108073 | − | 0.158514i | 0.768392 | − | 0.639979i | \(-0.221057\pi\) |
−0.876465 | + | 0.481466i | \(0.840105\pi\) | |||||||
\(972\) | −9.94342 | − | 15.8249i | −0.318935 | − | 0.507583i | ||||
\(973\) | −25.4619 | + | 19.5995i | −0.816272 | + | 0.628331i | ||||
\(974\) | −19.9164 | + | 4.54578i | −0.638162 | + | 0.145656i | ||||
\(975\) | 1.81665 | − | 11.3002i | 0.0581793 | − | 0.361895i | ||||
\(976\) | −0.236342 | + | 1.56803i | −0.00756512 | + | 0.0501913i | ||||
\(977\) | 3.24817 | + | 1.71671i | 0.103918 | + | 0.0549223i | 0.518420 | − | 0.855126i | \(-0.326520\pi\) |
−0.414502 | + | 0.910048i | \(0.636044\pi\) | |||||||
\(978\) | 11.3956 | − | 9.80672i | 0.364392 | − | 0.313584i | ||||
\(979\) | 18.8389 | 0.602095 | ||||||||
\(980\) | −17.0227 | − | 7.46432i | −0.543770 | − | 0.238439i | ||||
\(981\) | 25.2178 | 0.805142 | ||||||||
\(982\) | 6.33797 | − | 5.45426i | 0.202253 | − | 0.174052i | ||||
\(983\) | −18.7075 | − | 9.88720i | −0.596676 | − | 0.315353i | 0.141523 | − | 0.989935i | \(-0.454800\pi\) |
−0.738200 | + | 0.674582i | \(0.764324\pi\) | |||||||
\(984\) | 2.76969 | − | 18.3757i | 0.0882945 | − | 0.585796i | ||||
\(985\) | −4.63676 | − | 13.4623i | −0.147740 | − | 0.428946i | ||||
\(986\) | −12.7609 | + | 2.91260i | −0.406391 | + | 0.0927561i | ||||
\(987\) | 6.77735 | − | 13.4763i | 0.215725 | − | 0.428956i | ||||
\(988\) | 4.51942 | + | 7.19261i | 0.143782 | + | 0.228827i | ||||
\(989\) | −13.2420 | − | 19.4225i | −0.421072 | − | 0.617599i | ||||
\(990\) | 2.36746 | + | 9.01186i | 0.0752428 | + | 0.286416i | ||||
\(991\) | −0.743602 | − | 0.506980i | −0.0236213 | − | 0.0161047i | 0.551452 | − | 0.834207i | \(-0.314074\pi\) |
−0.575073 | + | 0.818102i | \(0.695026\pi\) | |||||||
\(992\) | 6.58528 | − | 8.92273i | 0.209083 | − | 0.283297i | ||||
\(993\) | 16.8313 | + | 5.88951i | 0.534124 | + | 0.186898i | ||||
\(994\) | 6.98845 | − | 9.13639i | 0.221660 | − | 0.289789i | ||||
\(995\) | 27.0585 | + | 4.21410i | 0.857811 | + | 0.133596i | ||||
\(996\) | 3.90685 | + | 1.20510i | 0.123793 | + | 0.0381852i | ||||
\(997\) | −8.25389 | − | 18.9181i | −0.261403 | − | 0.599143i | 0.735522 | − | 0.677501i | \(-0.236937\pi\) |
−0.996925 | + | 0.0783581i | \(0.975032\pi\) | |||||||
\(998\) | 16.9392 | + | 4.53885i | 0.536202 | + | 0.143675i | ||||
\(999\) | −22.6167 | + | 39.1733i | −0.715562 | + | 1.23939i |
(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 | 245.2.x.a.222.10 | yes | 624 | |
5.3 | odd | 4 | inner | 245.2.x.a.173.17 | yes | 624 | |
49.17 | odd | 42 | inner | 245.2.x.a.17.17 | ✓ | 624 | |
245.213 | even | 84 | inner | 245.2.x.a.213.10 | yes | 624 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
245.2.x.a.17.17 | ✓ | 624 | 49.17 | odd | 42 | inner | |
245.2.x.a.173.17 | yes | 624 | 5.3 | odd | 4 | inner | |
245.2.x.a.213.10 | yes | 624 | 245.213 | even | 84 | inner | |
245.2.x.a.222.10 | yes | 624 | 1.1 | even | 1 | trivial |