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 | 85.12 | ||
Character | \(\chi\) | \(=\) | 144.85 |
Dual form | 144.2.x.e.61.12 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.297230 | + | 1.38263i | 0.210174 | + | 0.977664i | ||||
\(3\) | 1.31071 | + | 1.13227i | 0.756740 | + | 0.653716i | ||||
\(4\) | −1.82331 | + | 0.821916i | −0.911654 | + | 0.410958i | ||||
\(5\) | −0.0112878 | + | 0.00302457i | −0.00504807 | + | 0.00135263i | −0.261342 | − | 0.965246i | \(-0.584165\pi\) |
0.256294 | + | 0.966599i | \(0.417498\pi\) | |||||||
\(6\) | −1.17592 | + | 2.14877i | −0.480067 | + | 0.877232i | ||||
\(7\) | 1.05753 | − | 0.610563i | 0.399708 | − | 0.230771i | −0.286650 | − | 0.958035i | \(-0.592542\pi\) |
0.686358 | + | 0.727264i | \(0.259208\pi\) | |||||||
\(8\) | −1.67835 | − | 2.27665i | −0.593385 | − | 0.804919i | ||||
\(9\) | 0.435936 | + | 2.96816i | 0.145312 | + | 0.989386i | ||||
\(10\) | −0.00753693 | − | 0.0147079i | −0.00238339 | − | 0.00465104i | ||||
\(11\) | −0.490535 | + | 1.83070i | −0.147902 | + | 0.551977i | 0.851707 | + | 0.524018i | \(0.175568\pi\) |
−0.999609 | + | 0.0279594i | \(0.991099\pi\) | |||||||
\(12\) | −3.32046 | − | 0.987179i | −0.958535 | − | 0.284974i | ||||
\(13\) | −1.35786 | − | 5.06759i | −0.376602 | − | 1.40550i | −0.850991 | − | 0.525181i | \(-0.823998\pi\) |
0.474389 | − | 0.880315i | \(-0.342669\pi\) | |||||||
\(14\) | 1.15851 | + | 1.28069i | 0.309625 | + | 0.342278i | ||||
\(15\) | −0.0182197 | − | 0.00881653i | −0.00470432 | − | 0.00227642i | ||||
\(16\) | 2.64891 | − | 2.99721i | 0.662227 | − | 0.749304i | ||||
\(17\) | −1.54238 | −0.374082 | −0.187041 | − | 0.982352i | \(-0.559890\pi\) | ||||
−0.187041 | + | 0.982352i | \(0.559890\pi\) | |||||||
\(18\) | −3.97428 | + | 1.48496i | −0.936746 | + | 0.350009i | ||||
\(19\) | 4.06823 | − | 4.06823i | 0.933317 | − | 0.933317i | −0.0645950 | − | 0.997912i | \(-0.520576\pi\) |
0.997912 | + | 0.0645950i | \(0.0205756\pi\) | |||||||
\(20\) | 0.0180953 | − | 0.0147924i | 0.00404623 | − | 0.00330768i | ||||
\(21\) | 2.07744 | + | 0.397131i | 0.453334 | + | 0.0866611i | ||||
\(22\) | −2.67698 | − | 0.134086i | −0.570734 | − | 0.0285873i | ||||
\(23\) | 5.20660 | + | 3.00603i | 1.08565 | + | 0.626801i | 0.932415 | − | 0.361388i | \(-0.117697\pi\) |
0.153236 | + | 0.988190i | \(0.451030\pi\) | |||||||
\(24\) | 0.377956 | − | 4.88438i | 0.0771500 | − | 0.997019i | ||||
\(25\) | −4.33001 | + | 2.49993i | −0.866002 | + | 0.499986i | ||||
\(26\) | 6.60298 | − | 3.38365i | 1.29495 | − | 0.663588i | ||||
\(27\) | −2.78937 | + | 4.38400i | −0.536814 | + | 0.843701i | ||||
\(28\) | −1.42637 | + | 1.98244i | −0.269558 | + | 0.374647i | ||||
\(29\) | −2.98082 | − | 0.798708i | −0.553524 | − | 0.148316i | −0.0287946 | − | 0.999585i | \(-0.509167\pi\) |
−0.524730 | + | 0.851269i | \(0.675834\pi\) | |||||||
\(30\) | 0.00677450 | − | 0.0278116i | 0.00123685 | − | 0.00507768i | ||||
\(31\) | 2.92831 | − | 5.07198i | 0.525939 | − | 0.910954i | −0.473604 | − | 0.880738i | \(-0.657047\pi\) |
0.999543 | − | 0.0302159i | \(-0.00961949\pi\) | |||||||
\(32\) | 4.93136 | + | 2.77158i | 0.871750 | + | 0.489951i | ||||
\(33\) | −2.71580 | + | 1.84411i | −0.472760 | + | 0.321018i | ||||
\(34\) | −0.458442 | − | 2.13254i | −0.0786222 | − | 0.365727i | ||||
\(35\) | −0.0100905 | + | 0.0100905i | −0.00170561 | + | 0.00170561i | ||||
\(36\) | −3.23442 | − | 5.05356i | −0.539070 | − | 0.842261i | ||||
\(37\) | 0.923082 | + | 0.923082i | 0.151754 | + | 0.151754i | 0.778901 | − | 0.627147i | \(-0.215777\pi\) |
−0.627147 | + | 0.778901i | \(0.715777\pi\) | |||||||
\(38\) | 6.83404 | + | 4.41564i | 1.10863 | + | 0.716312i | ||||
\(39\) | 3.95811 | − | 8.17961i | 0.633805 | − | 1.30979i | ||||
\(40\) | 0.0258308 | + | 0.0206222i | 0.00408421 | + | 0.00326066i | ||||
\(41\) | 3.20829 | + | 1.85231i | 0.501051 | + | 0.289282i | 0.729147 | − | 0.684357i | \(-0.239917\pi\) |
−0.228096 | + | 0.973639i | \(0.573250\pi\) | |||||||
\(42\) | 0.0683928 | + | 2.99036i | 0.0105532 | + | 0.461422i | ||||
\(43\) | 1.29691 | − | 4.84015i | 0.197777 | − | 0.738115i | −0.793753 | − | 0.608240i | \(-0.791876\pi\) |
0.991530 | − | 0.129875i | \(-0.0414576\pi\) | |||||||
\(44\) | −0.610287 | − | 3.74111i | −0.0920043 | − | 0.563994i | ||||
\(45\) | −0.0138982 | − | 0.0321856i | −0.00207182 | − | 0.00479794i | ||||
\(46\) | −2.60866 | + | 8.09227i | −0.384626 | + | 1.19314i | ||||
\(47\) | −1.31218 | − | 2.27277i | −0.191402 | − | 0.331517i | 0.754313 | − | 0.656515i | \(-0.227970\pi\) |
−0.945715 | + | 0.324997i | \(0.894637\pi\) | |||||||
\(48\) | 6.86561 | − | 0.929213i | 0.990965 | − | 0.134120i | ||||
\(49\) | −2.75442 | + | 4.77080i | −0.393489 | + | 0.681543i | ||||
\(50\) | −4.74348 | − | 5.24373i | −0.670829 | − | 0.741575i | ||||
\(51\) | −2.02162 | − | 1.74639i | −0.283083 | − | 0.244543i | ||||
\(52\) | 6.64092 | + | 8.12373i | 0.920931 | + | 1.12656i | ||||
\(53\) | −8.88508 | − | 8.88508i | −1.22046 | − | 1.22046i | −0.967469 | − | 0.252991i | \(-0.918586\pi\) |
−0.252991 | − | 0.967469i | \(-0.581414\pi\) | |||||||
\(54\) | −6.89051 | − | 2.55359i | −0.937680 | − | 0.347500i | ||||
\(55\) | − | 0.0221483i | − | 0.00298648i | ||||||
\(56\) | −3.16494 | − | 1.38289i | −0.422932 | − | 0.184796i | ||||
\(57\) | 9.93862 | − | 0.725952i | 1.31640 | − | 0.0961547i | ||||
\(58\) | 0.218325 | − | 4.35876i | 0.0286674 | − | 0.572333i | ||||
\(59\) | −8.78724 | + | 2.35453i | −1.14400 | + | 0.306534i | −0.780559 | − | 0.625082i | \(-0.785065\pi\) |
−0.363443 | + | 0.931617i | \(0.618399\pi\) | |||||||
\(60\) | 0.0404666 | + | 0.00110015i | 0.00522422 | + | 0.000142028i | ||||
\(61\) | −12.1194 | − | 3.24737i | −1.55172 | − | 0.415783i | −0.621692 | − | 0.783262i | \(-0.713555\pi\) |
−0.930032 | + | 0.367478i | \(0.880221\pi\) | |||||||
\(62\) | 7.88303 | + | 2.54121i | 1.00115 | + | 0.322734i | ||||
\(63\) | 2.27326 | + | 2.87274i | 0.286404 | + | 0.361931i | ||||
\(64\) | −2.36631 | + | 7.64203i | −0.295789 | + | 0.955253i | ||||
\(65\) | 0.0306545 | + | 0.0530952i | 0.00380223 | + | 0.00658565i | ||||
\(66\) | −3.35693 | − | 3.20681i | −0.413209 | − | 0.394731i | ||||
\(67\) | 3.18324 | + | 11.8800i | 0.388895 | + | 1.45137i | 0.831935 | + | 0.554873i | \(0.187233\pi\) |
−0.443041 | + | 0.896501i | \(0.646100\pi\) | |||||||
\(68\) | 2.81224 | − | 1.26771i | 0.341034 | − | 0.153732i | ||||
\(69\) | 3.42072 | + | 9.83532i | 0.411807 | + | 1.18403i | ||||
\(70\) | −0.0169506 | − | 0.0109522i | −0.00202598 | − | 0.00130904i | ||||
\(71\) | 14.2363i | 1.68954i | 0.535129 | + | 0.844771i | \(0.320263\pi\) | ||||
−0.535129 | + | 0.844771i | \(0.679737\pi\) | |||||||
\(72\) | 6.02582 | − | 5.97407i | 0.710150 | − | 0.704051i | ||||
\(73\) | − | 4.32091i | − | 0.505724i | −0.967502 | − | 0.252862i | \(-0.918628\pi\) | ||
0.967502 | − | 0.252862i | \(-0.0813718\pi\) | |||||||
\(74\) | −1.00191 | + | 1.55065i | −0.116470 | + | 0.180259i | ||||
\(75\) | −8.50599 | − | 1.62604i | −0.982187 | − | 0.187759i | ||||
\(76\) | −4.07389 | + | 10.7614i | −0.467308 | + | 1.23442i | ||||
\(77\) | 0.599006 | + | 2.23552i | 0.0682630 | + | 0.254761i | ||||
\(78\) | 12.4858 | + | 3.04136i | 1.41374 | + | 0.344366i | ||||
\(79\) | −0.261880 | − | 0.453589i | −0.0294638 | − | 0.0510328i | 0.850918 | − | 0.525299i | \(-0.176047\pi\) |
−0.880381 | + | 0.474267i | \(0.842713\pi\) | |||||||
\(80\) | −0.0208352 | + | 0.0418439i | −0.00232944 | + | 0.00467829i | ||||
\(81\) | −8.61992 | + | 2.58785i | −0.957769 | + | 0.287539i | ||||
\(82\) | −1.60745 | + | 4.98643i | −0.177513 | + | 0.550659i | ||||
\(83\) | −10.8824 | − | 2.91592i | −1.19450 | − | 0.320064i | −0.393834 | − | 0.919181i | \(-0.628852\pi\) |
−0.800661 | + | 0.599117i | \(0.795518\pi\) | |||||||
\(84\) | −4.11421 | + | 0.983386i | −0.448898 | + | 0.107296i | ||||
\(85\) | 0.0174101 | − | 0.00466503i | 0.00188839 | − | 0.000505994i | ||||
\(86\) | 7.07759 | + | 0.354508i | 0.763196 | + | 0.0382276i | ||||
\(87\) | −3.00264 | − | 4.42196i | −0.321917 | − | 0.474084i | ||||
\(88\) | 4.99116 | − | 1.95577i | 0.532060 | − | 0.208486i | ||||
\(89\) | − | 10.7103i | − | 1.13529i | −0.823274 | − | 0.567644i | \(-0.807855\pi\) | ||
0.823274 | − | 0.567644i | \(-0.192145\pi\) | |||||||
\(90\) | 0.0403696 | − | 0.0287825i | 0.00425533 | − | 0.00303394i | ||||
\(91\) | −4.53005 | − | 4.53005i | −0.474879 | − | 0.474879i | ||||
\(92\) | −11.9640 | − | 1.20153i | −1.24733 | − | 0.125269i | ||||
\(93\) | 9.58101 | − | 3.33227i | 0.993504 | − | 0.345541i | ||||
\(94\) | 2.75237 | − | 2.48980i | 0.283885 | − | 0.256803i | ||||
\(95\) | −0.0336169 | + | 0.0582262i | −0.00344902 | + | 0.00597388i | ||||
\(96\) | 3.32542 | + | 9.21638i | 0.339399 | + | 0.940642i | ||||
\(97\) | 8.78820 | + | 15.2216i | 0.892306 | + | 1.54552i | 0.837104 | + | 0.547044i | \(0.184247\pi\) |
0.0552025 | + | 0.998475i | \(0.482420\pi\) | |||||||
\(98\) | −7.41493 | − | 2.39031i | −0.749022 | − | 0.241458i | ||||
\(99\) | −5.64765 | − | 0.657918i | −0.567611 | − | 0.0661232i | ||||
\(100\) | 5.84021 | − | 8.11705i | 0.584021 | − | 0.811705i | ||||
\(101\) | −1.80361 | + | 6.73117i | −0.179466 | + | 0.669776i | 0.816282 | + | 0.577654i | \(0.196032\pi\) |
−0.995748 | + | 0.0921222i | \(0.970635\pi\) | |||||||
\(102\) | 1.81372 | − | 3.31422i | 0.179585 | − | 0.328157i | ||||
\(103\) | 2.20609 | + | 1.27369i | 0.217373 | + | 0.125500i | 0.604733 | − | 0.796428i | \(-0.293280\pi\) |
−0.387360 | + | 0.921928i | \(0.626613\pi\) | |||||||
\(104\) | −9.25820 | + | 11.5965i | −0.907841 | + | 1.13713i | ||||
\(105\) | −0.0246509 | + | 0.00180059i | −0.00240568 | + | 0.000175720i | ||||
\(106\) | 9.64383 | − | 14.9257i | 0.936691 | − | 1.44971i | ||||
\(107\) | 3.52175 | + | 3.52175i | 0.340460 | + | 0.340460i | 0.856540 | − | 0.516080i | \(-0.172609\pi\) |
−0.516080 | + | 0.856540i | \(0.672609\pi\) | |||||||
\(108\) | 1.48259 | − | 10.2860i | 0.142663 | − | 0.989771i | ||||
\(109\) | 3.14334 | − | 3.14334i | 0.301077 | − | 0.301077i | −0.540358 | − | 0.841435i | \(-0.681711\pi\) |
0.841435 | + | 0.540358i | \(0.181711\pi\) | |||||||
\(110\) | 0.0306228 | − | 0.00658315i | 0.00291977 | − | 0.000627679i | ||||
\(111\) | 0.164719 | + | 2.25507i | 0.0156344 | + | 0.214042i | ||||
\(112\) | 0.971300 | − | 4.78696i | 0.0917793 | − | 0.452325i | ||||
\(113\) | 7.90904 | − | 13.6989i | 0.744020 | − | 1.28868i | −0.206631 | − | 0.978419i | \(-0.566250\pi\) |
0.950651 | − | 0.310262i | \(-0.100417\pi\) | |||||||
\(114\) | 3.95778 | + | 13.5256i | 0.370680 | + | 1.26679i | ||||
\(115\) | −0.0678632 | − | 0.0181839i | −0.00632828 | − | 0.00169566i | ||||
\(116\) | 6.09142 | − | 0.993693i | 0.565574 | − | 0.0922621i | ||||
\(117\) | 14.4495 | − | 6.23947i | 1.33585 | − | 0.576839i | ||||
\(118\) | −5.86727 | − | 11.4496i | −0.540126 | − | 1.05402i | ||||
\(119\) | −1.63111 | + | 0.941721i | −0.149523 | + | 0.0863274i | ||||
\(120\) | 0.0105068 | + | 0.0562772i | 0.000959137 | + | 0.00513738i | ||||
\(121\) | 6.41543 | + | 3.70395i | 0.583221 | + | 0.336723i | ||||
\(122\) | 0.887661 | − | 17.7218i | 0.0803650 | − | 1.60445i | ||||
\(123\) | 2.10784 | + | 6.06049i | 0.190057 | + | 0.546456i | ||||
\(124\) | −1.17047 | + | 11.6546i | −0.105111 | + | 1.04661i | ||||
\(125\) | 0.0826316 | − | 0.0826316i | 0.00739079 | − | 0.00739079i | ||||
\(126\) | −3.29624 | + | 3.99694i | −0.293653 | + | 0.356075i | ||||
\(127\) | −5.72603 | −0.508103 | −0.254052 | − | 0.967191i | \(-0.581763\pi\) | ||||
−0.254052 | + | 0.967191i | \(0.581763\pi\) | |||||||
\(128\) | −11.2694 | − | 1.00029i | −0.996084 | − | 0.0884136i | ||||
\(129\) | 7.18023 | − | 4.87559i | 0.632184 | − | 0.429271i | ||||
\(130\) | −0.0642993 | + | 0.0581652i | −0.00563942 | + | 0.00510143i | ||||
\(131\) | −1.75835 | − | 6.56224i | −0.153628 | − | 0.573346i | −0.999219 | − | 0.0395151i | \(-0.987419\pi\) |
0.845591 | − | 0.533831i | \(-0.179248\pi\) | |||||||
\(132\) | 3.43603 | − | 5.59453i | 0.299068 | − | 0.486942i | ||||
\(133\) | 1.81835 | − | 6.78618i | 0.157671 | − | 0.588436i | ||||
\(134\) | −15.4795 | + | 7.93233i | −1.33722 | + | 0.685249i | ||||
\(135\) | 0.0182262 | − | 0.0579225i | 0.00156866 | − | 0.00498517i | ||||
\(136\) | 2.58865 | + | 3.51147i | 0.221975 | + | 0.301106i | ||||
\(137\) | 3.64923 | − | 2.10688i | 0.311775 | − | 0.180003i | −0.335946 | − | 0.941881i | \(-0.609056\pi\) |
0.647720 | + | 0.761878i | \(0.275722\pi\) | |||||||
\(138\) | −12.5818 | + | 7.65294i | −1.07104 | + | 0.651461i | ||||
\(139\) | 15.6519 | − | 4.19392i | 1.32758 | − | 0.355724i | 0.475767 | − | 0.879571i | \(-0.342170\pi\) |
0.851812 | + | 0.523847i | \(0.175504\pi\) | |||||||
\(140\) | 0.0101045 | − | 0.0266916i | 0.000853990 | − | 0.00225586i | ||||
\(141\) | 0.853489 | − | 4.46469i | 0.0718768 | − | 0.375995i | ||||
\(142\) | −19.6835 | + | 4.23147i | −1.65180 | + | 0.355097i | ||||
\(143\) | 9.94332 | 0.831502 | ||||||||
\(144\) | 10.0510 | + | 6.55578i | 0.837580 | + | 0.546315i | ||||
\(145\) | 0.0360627 | 0.00299485 | ||||||||
\(146\) | 5.97420 | − | 1.28430i | 0.494428 | − | 0.106290i | ||||
\(147\) | −9.01209 | + | 3.13440i | −0.743305 | + | 0.258521i | ||||
\(148\) | −2.44176 | − | 0.924367i | −0.200711 | − | 0.0759825i | ||||
\(149\) | −3.76477 | + | 1.00877i | −0.308422 | + | 0.0826415i | −0.409710 | − | 0.912216i | \(-0.634370\pi\) |
0.101288 | + | 0.994857i | \(0.467704\pi\) | |||||||
\(150\) | −0.280032 | − | 12.2439i | −0.0228645 | − | 0.999711i | ||||
\(151\) | −13.0073 | + | 7.50979i | −1.05852 | + | 0.611138i | −0.925023 | − | 0.379911i | \(-0.875955\pi\) |
−0.133499 | + | 0.991049i | \(0.542621\pi\) | |||||||
\(152\) | −16.0899 | − | 2.43406i | −1.30506 | − | 0.197428i | ||||
\(153\) | −0.672378 | − | 4.57803i | −0.0543586 | − | 0.370112i | ||||
\(154\) | −2.91284 | + | 1.49266i | −0.234724 | + | 0.120282i | ||||
\(155\) | −0.0177137 | + | 0.0661085i | −0.00142280 | + | 0.00530996i | ||||
\(156\) | −0.493902 | + | 18.1672i | −0.0395438 | + | 1.45454i | ||||
\(157\) | 2.53825 | + | 9.47288i | 0.202574 | + | 0.756018i | 0.990175 | + | 0.139832i | \(0.0446564\pi\) |
−0.787601 | + | 0.616186i | \(0.788677\pi\) | |||||||
\(158\) | 0.549305 | − | 0.496902i | 0.0437004 | − | 0.0395314i | ||||
\(159\) | −1.58549 | − | 21.7061i | −0.125738 | − | 1.72140i | ||||
\(160\) | −0.0640473 | − | 0.0163700i | −0.00506338 | − | 0.00129416i | ||||
\(161\) | 7.34150 | 0.578591 | ||||||||
\(162\) | −6.14013 | − | 11.1489i | −0.482414 | − | 0.875943i | ||||
\(163\) | 5.22606 | − | 5.22606i | 0.409336 | − | 0.409336i | −0.472171 | − | 0.881507i | \(-0.656529\pi\) |
0.881507 | + | 0.472171i | \(0.156529\pi\) | |||||||
\(164\) | −7.37215 | − | 0.740381i | −0.575668 | − | 0.0578140i | ||||
\(165\) | 0.0250779 | − | 0.0290301i | 0.00195231 | − | 0.00225999i | ||||
\(166\) | 0.797060 | − | 15.9129i | 0.0618638 | − | 1.23508i | ||||
\(167\) | 6.31476 | + | 3.64583i | 0.488651 | + | 0.282123i | 0.724015 | − | 0.689785i | \(-0.242295\pi\) |
−0.235364 | + | 0.971907i | \(0.575628\pi\) | |||||||
\(168\) | −2.58252 | − | 5.39613i | −0.199246 | − | 0.416320i | ||||
\(169\) | −12.5783 | + | 7.26211i | −0.967565 | + | 0.558624i | ||||
\(170\) | 0.0116248 | + | 0.0226851i | 0.000891583 | + | 0.00173987i | ||||
\(171\) | 13.8486 | + | 10.3017i | 1.05903 | + | 0.787788i | ||||
\(172\) | 1.61352 | + | 9.89103i | 0.123030 | + | 0.754184i | ||||
\(173\) | 22.9394 | + | 6.14659i | 1.74405 | + | 0.467317i | 0.983340 | − | 0.181775i | \(-0.0581842\pi\) |
0.760710 | + | 0.649092i | \(0.224851\pi\) | |||||||
\(174\) | 5.22144 | − | 5.46588i | 0.395837 | − | 0.414367i | ||||
\(175\) | −3.05273 | + | 5.28749i | −0.230765 | + | 0.399697i | ||||
\(176\) | 4.18762 | + | 6.31960i | 0.315654 | + | 0.476358i | ||||
\(177\) | −14.1835 | − | 6.86340i | −1.06610 | − | 0.515885i | ||||
\(178\) | 14.8083 | − | 3.18342i | 1.10993 | − | 0.238608i | ||||
\(179\) | 11.4489 | − | 11.4489i | 0.855732 | − | 0.855732i | −0.135100 | − | 0.990832i | \(-0.543136\pi\) |
0.990832 | + | 0.135100i | \(0.0431356\pi\) | |||||||
\(180\) | 0.0517945 | + | 0.0472611i | 0.00386053 | + | 0.00352263i | ||||
\(181\) | −3.01327 | − | 3.01327i | −0.223974 | − | 0.223974i | 0.586195 | − | 0.810170i | \(-0.300625\pi\) |
−0.810170 | + | 0.586195i | \(0.800625\pi\) | |||||||
\(182\) | 4.91690 | − | 7.60984i | 0.364465 | − | 0.564079i | ||||
\(183\) | −12.2081 | − | 17.9787i | −0.902448 | − | 1.32903i | ||||
\(184\) | −1.89478 | − | 16.8988i | −0.139685 | − | 1.24580i | ||||
\(185\) | −0.0132115 | − | 0.00762768i | −0.000971331 | − | 0.000560798i | ||||
\(186\) | 7.45505 | + | 12.2565i | 0.546631 | + | 0.898690i | ||||
\(187\) | 0.756592 | − | 2.82364i | 0.0553275 | − | 0.206485i | ||||
\(188\) | 4.26054 | + | 3.06545i | 0.310732 | + | 0.223571i | ||||
\(189\) | −0.273120 | + | 6.33928i | −0.0198666 | + | 0.461115i | ||||
\(190\) | −0.0904970 | − | 0.0291730i | −0.00656534 | − | 0.00211643i | ||||
\(191\) | −2.25702 | − | 3.90928i | −0.163313 | − | 0.282866i | 0.772742 | − | 0.634720i | \(-0.218885\pi\) |
−0.936055 | + | 0.351854i | \(0.885551\pi\) | |||||||
\(192\) | −11.7544 | + | 7.33720i | −0.848300 | + | 0.529517i | ||||
\(193\) | −1.75793 | + | 3.04482i | −0.126539 | + | 0.219171i | −0.922333 | − | 0.386395i | \(-0.873720\pi\) |
0.795795 | + | 0.605566i | \(0.207053\pi\) | |||||||
\(194\) | −18.4337 | + | 16.6751i | −1.32346 | + | 1.19720i | ||||
\(195\) | −0.0199387 | + | 0.104302i | −0.00142784 | + | 0.00746920i | ||||
\(196\) | 1.10096 | − | 10.9626i | 0.0786403 | − | 0.783040i | ||||
\(197\) | −4.81922 | − | 4.81922i | −0.343355 | − | 0.343355i | 0.514272 | − | 0.857627i | \(-0.328062\pi\) |
−0.857627 | + | 0.514272i | \(0.828062\pi\) | |||||||
\(198\) | −0.769000 | − | 8.00415i | −0.0546504 | − | 0.568830i | ||||
\(199\) | 4.66322i | 0.330567i | 0.986246 | + | 0.165284i | \(0.0528539\pi\) | ||||
−0.986246 | + | 0.165284i | \(0.947146\pi\) | |||||||
\(200\) | 12.9587 | + | 5.66219i | 0.916321 | + | 0.400377i | ||||
\(201\) | −9.27905 | + | 19.1756i | −0.654494 | + | 1.35254i | ||||
\(202\) | −9.84277 | − | 0.493012i | −0.692535 | − | 0.0346882i | ||||
\(203\) | −3.63996 | + | 0.975324i | −0.255475 | + | 0.0684543i | ||||
\(204\) | 5.12142 | + | 1.52260i | 0.358571 | + | 0.106604i | ||||
\(205\) | −0.0418171 | − | 0.0112049i | −0.00292063 | − | 0.000782581i | ||||
\(206\) | −1.10532 | + | 3.42878i | −0.0770110 | + | 0.238894i | ||||
\(207\) | −6.65264 | + | 16.7645i | −0.462390 | + | 1.16521i | ||||
\(208\) | −18.7855 | − | 9.35378i | −1.30254 | − | 0.648568i | ||||
\(209\) | 5.45211 | + | 9.44333i | 0.377130 | + | 0.653209i | ||||
\(210\) | −0.00981654 | − | 0.0335478i | −0.000677405 | − | 0.00231502i | ||||
\(211\) | 4.67442 | + | 17.4452i | 0.321800 | + | 1.20097i | 0.917490 | + | 0.397760i | \(0.130212\pi\) |
−0.595689 | + | 0.803215i | \(0.703121\pi\) | |||||||
\(212\) | 23.5030 | + | 8.89745i | 1.61420 | + | 0.611079i | ||||
\(213\) | −16.1193 | + | 18.6597i | −1.10448 | + | 1.27854i | ||||
\(214\) | −3.82249 | + | 5.91603i | −0.261300 | + | 0.404411i | ||||
\(215\) | 0.0585574i | 0.00399358i | ||||||||
\(216\) | 14.6624 | − | 1.00744i | 0.997648 | − | 0.0685476i | ||||
\(217\) | − | 7.15167i | − | 0.485487i | ||||||
\(218\) | 5.28036 | + | 3.41177i | 0.357631 | + | 0.231074i | ||||
\(219\) | 4.89243 | − | 5.66347i | 0.330599 | − | 0.382702i | ||||
\(220\) | 0.0182041 | + | 0.0403832i | 0.00122732 | + | 0.00272264i | ||||
\(221\) | 2.09433 | + | 7.81615i | 0.140880 | + | 0.525771i | ||||
\(222\) | −3.06896 | + | 0.898020i | −0.205975 | + | 0.0602712i | ||||
\(223\) | 2.85769 | + | 4.94966i | 0.191365 | + | 0.331454i | 0.945703 | − | 0.325032i | \(-0.105375\pi\) |
−0.754338 | + | 0.656486i | \(0.772042\pi\) | |||||||
\(224\) | 6.90727 | − | 0.0798841i | 0.461512 | − | 0.00533748i | ||||
\(225\) | −9.30780 | − | 11.7623i | −0.620520 | − | 0.784156i | ||||
\(226\) | 21.2912 | + | 6.86353i | 1.41627 | + | 0.456555i | ||||
\(227\) | 19.6766 | + | 5.27233i | 1.30598 | + | 0.349937i | 0.843709 | − | 0.536802i | \(-0.180368\pi\) |
0.462272 | + | 0.886738i | \(0.347034\pi\) | |||||||
\(228\) | −17.5245 | + | 9.49235i | −1.16059 | + | 0.628646i | ||||
\(229\) | 3.70525 | − | 0.992819i | 0.244850 | − | 0.0656073i | −0.134307 | − | 0.990940i | \(-0.542881\pi\) |
0.379157 | + | 0.925332i | \(0.376214\pi\) | |||||||
\(230\) | 0.00497052 | − | 0.0992343i | 0.000327747 | − | 0.00654332i | ||||
\(231\) | −1.74608 | + | 3.60836i | −0.114884 | + | 0.237413i | ||||
\(232\) | 3.18446 | + | 8.12680i | 0.209070 | + | 0.533551i | ||||
\(233\) | 5.33043i | 0.349208i | 0.984639 | + | 0.174604i | \(0.0558645\pi\) | ||||
−0.984639 | + | 0.174604i | \(0.944136\pi\) | |||||||
\(234\) | 12.9217 | + | 18.1236i | 0.844716 | + | 1.18478i | ||||
\(235\) | 0.0216859 | + | 0.0216859i | 0.00141463 | + | 0.00141463i | ||||
\(236\) | 14.0866 | − | 11.5154i | 0.916961 | − | 0.749590i | ||||
\(237\) | 0.170336 | − | 0.891043i | 0.0110645 | − | 0.0578795i | ||||
\(238\) | −1.78686 | − | 1.97530i | −0.115825 | − | 0.128040i | ||||
\(239\) | −13.8380 | + | 23.9681i | −0.895104 | + | 1.55037i | −0.0614282 | + | 0.998112i | \(0.519566\pi\) |
−0.833676 | + | 0.552254i | \(0.813768\pi\) | |||||||
\(240\) | −0.0746874 | + | 0.0312543i | −0.00482105 | + | 0.00201746i | ||||
\(241\) | 0.847203 | + | 1.46740i | 0.0545731 | + | 0.0945234i | 0.892021 | − | 0.451993i | \(-0.149287\pi\) |
−0.837448 | + | 0.546517i | \(0.815954\pi\) | |||||||
\(242\) | −3.21432 | + | 9.97107i | −0.206624 | + | 0.640965i | ||||
\(243\) | −14.2284 | − | 6.36814i | −0.912751 | − | 0.408516i | ||||
\(244\) | 24.7664 | − | 4.04014i | 1.58551 | − | 0.258643i | ||||
\(245\) | 0.0166619 | − | 0.0621830i | 0.00106449 | − | 0.00397273i | ||||
\(246\) | −7.75288 | + | 4.71571i | −0.494305 | + | 0.300663i | ||||
\(247\) | −26.1402 | − | 15.0921i | −1.66326 | − | 0.960284i | ||||
\(248\) | −16.4618 | + | 1.84578i | −1.04533 | + | 0.117207i | ||||
\(249\) | −10.9621 | − | 16.1437i | −0.694692 | − | 1.02307i | ||||
\(250\) | 0.138809 | + | 0.0896880i | 0.00877906 | + | 0.00567236i | ||||
\(251\) | 0.987980 | + | 0.987980i | 0.0623607 | + | 0.0623607i | 0.737599 | − | 0.675239i | \(-0.235959\pi\) |
−0.675239 | + | 0.737599i | \(0.735959\pi\) | |||||||
\(252\) | −6.50601 | − | 3.36946i | −0.409840 | − | 0.212256i | ||||
\(253\) | −8.05717 | + | 8.05717i | −0.506550 | + | 0.506550i | ||||
\(254\) | −1.70195 | − | 7.91696i | −0.106790 | − | 0.496754i | ||||
\(255\) | 0.0281018 | + | 0.0135984i | 0.00175980 | + | 0.000851567i | ||||
\(256\) | −1.96659 | − | 15.8787i | −0.122912 | − | 0.992418i | ||||
\(257\) | 11.8214 | − | 20.4753i | 0.737401 | − | 1.27722i | −0.216260 | − | 0.976336i | \(-0.569386\pi\) |
0.953662 | − | 0.300881i | \(-0.0972806\pi\) | |||||||
\(258\) | 8.87529 | + | 8.47839i | 0.552552 | + | 0.527842i | ||||
\(259\) | 1.53978 | + | 0.412584i | 0.0956776 | + | 0.0256367i | ||||
\(260\) | −0.0995325 | − | 0.0716134i | −0.00617274 | − | 0.00444128i | ||||
\(261\) | 1.07125 | − | 9.19572i | 0.0663085 | − | 0.569201i | ||||
\(262\) | 8.55049 | − | 4.38163i | 0.528251 | − | 0.270698i | ||||
\(263\) | 22.2619 | − | 12.8529i | 1.37273 | − | 0.792545i | 0.381458 | − | 0.924386i | \(-0.375422\pi\) |
0.991271 | + | 0.131841i | \(0.0420888\pi\) | |||||||
\(264\) | 8.75644 | + | 3.08788i | 0.538922 | + | 0.190046i | ||||
\(265\) | 0.127167 | + | 0.0734198i | 0.00781180 | + | 0.00451015i | ||||
\(266\) | 9.92321 | + | 0.497042i | 0.608431 | + | 0.0304756i | ||||
\(267\) | 12.1269 | − | 14.0381i | 0.742156 | − | 0.859119i | ||||
\(268\) | −15.5684 | − | 19.0446i | −0.950991 | − | 1.16333i | ||||
\(269\) | −13.6891 | + | 13.6891i | −0.834637 | + | 0.834637i | −0.988147 | − | 0.153510i | \(-0.950942\pi\) |
0.153510 | + | 0.988147i | \(0.450942\pi\) | |||||||
\(270\) | 0.0855025 | + | 0.00798372i | 0.00520352 | + | 0.000485873i | ||||
\(271\) | −7.11000 | −0.431902 | −0.215951 | − | 0.976404i | \(-0.569285\pi\) | ||||
−0.215951 | + | 0.976404i | \(0.569285\pi\) | |||||||
\(272\) | −4.08562 | + | 4.62284i | −0.247727 | + | 0.280301i | ||||
\(273\) | −0.808361 | − | 11.0668i | −0.0489242 | − | 0.669795i | ||||
\(274\) | 3.99770 | + | 4.41929i | 0.241510 | + | 0.266979i | ||||
\(275\) | −2.45261 | − | 9.15326i | −0.147898 | − | 0.551962i | ||||
\(276\) | −14.3208 | − | 15.1213i | −0.862014 | − | 0.910194i | ||||
\(277\) | 5.81917 | − | 21.7174i | 0.349640 | − | 1.30487i | −0.537457 | − | 0.843291i | \(-0.680615\pi\) |
0.887097 | − | 0.461583i | \(-0.152718\pi\) | |||||||
\(278\) | 10.4509 | + | 20.3942i | 0.626801 | + | 1.22316i | ||||
\(279\) | 16.3310 | + | 6.48062i | 0.977710 | + | 0.387985i | ||||
\(280\) | 0.0399079 | + | 0.00603724i | 0.00238496 | + | 0.000360794i | ||||
\(281\) | −19.7952 | + | 11.4288i | −1.18088 | + | 0.681783i | −0.956218 | − | 0.292654i | \(-0.905462\pi\) |
−0.224664 | + | 0.974436i | \(0.572128\pi\) | |||||||
\(282\) | 6.42668 | − | 0.146985i | 0.382703 | − | 0.00875286i | ||||
\(283\) | −5.96971 | + | 1.59958i | −0.354862 | + | 0.0950851i | −0.431846 | − | 0.901947i | \(-0.642138\pi\) |
0.0769838 | + | 0.997032i | \(0.475471\pi\) | |||||||
\(284\) | −11.7011 | − | 25.9572i | −0.694331 | − | 1.54028i | ||||
\(285\) | −0.109990 | + | 0.0382544i | −0.00651523 | + | 0.00226600i | ||||
\(286\) | 2.95546 | + | 13.7479i | 0.174760 | + | 0.812930i | ||||
\(287\) | 4.52381 | 0.267032 | ||||||||
\(288\) | −6.07674 | + | 15.8453i | −0.358076 | + | 0.933693i | ||||
\(289\) | −14.6211 | −0.860063 | ||||||||
\(290\) | 0.0107189 | + | 0.0498613i | 0.000629438 | + | 0.00292796i | ||||
\(291\) | −5.71614 | + | 29.9017i | −0.335086 | + | 1.75287i | ||||
\(292\) | 3.55142 | + | 7.87834i | 0.207831 | + | 0.461045i | ||||
\(293\) | −3.76752 | + | 1.00950i | −0.220101 | + | 0.0589758i | −0.367184 | − | 0.930148i | \(-0.619678\pi\) |
0.147083 | + | 0.989124i | \(0.453011\pi\) | |||||||
\(294\) | −7.01237 | − | 11.5287i | −0.408970 | − | 0.672368i | ||||
\(295\) | 0.0920675 | − | 0.0531552i | 0.00536038 | − | 0.00309482i | ||||
\(296\) | 0.552289 | − | 3.65079i | 0.0321011 | − | 0.212198i | ||||
\(297\) | −6.65751 | − | 7.25700i | −0.386308 | − | 0.421094i | ||||
\(298\) | −2.51375 | − | 4.90543i | −0.145618 | − | 0.284164i | ||||
\(299\) | 8.16352 | − | 30.4667i | 0.472109 | − | 1.76193i | ||||
\(300\) | 16.8455 | − | 4.02644i | 0.972576 | − | 0.232467i | ||||
\(301\) | −1.58370 | − | 5.91043i | −0.0912827 | − | 0.340672i | ||||
\(302\) | −14.2494 | − | 15.7521i | −0.819961 | − | 0.906434i | ||||
\(303\) | −9.98550 | + | 6.78045i | −0.573652 | + | 0.389527i | ||||
\(304\) | −1.41700 | − | 22.9697i | −0.0812703 | − | 1.31740i | ||||
\(305\) | 0.146623 | 0.00839562 | ||||||||
\(306\) | 6.12985 | − | 2.29038i | 0.350420 | − | 0.130932i | ||||
\(307\) | 10.8111 | − | 10.8111i | 0.617023 | − | 0.617023i | −0.327743 | − | 0.944767i | \(-0.606288\pi\) |
0.944767 | + | 0.327743i | \(0.106288\pi\) | |||||||
\(308\) | −2.92958 | − | 3.58371i | −0.166928 | − | 0.204201i | ||||
\(309\) | 1.44940 | + | 4.16733i | 0.0824532 | + | 0.237071i | ||||
\(310\) | −0.0966684 | − | 0.00484200i | −0.00549040 | − | 0.000275007i | ||||
\(311\) | −19.5372 | − | 11.2798i | −1.10785 | − | 0.639619i | −0.169581 | − | 0.985516i | \(-0.554241\pi\) |
−0.938273 | + | 0.345897i | \(0.887575\pi\) | |||||||
\(312\) | −25.2652 | + | 4.71696i | −1.43036 | + | 0.267045i | ||||
\(313\) | 5.17232 | − | 2.98624i | 0.292357 | − | 0.168792i | −0.346647 | − | 0.937996i | \(-0.612680\pi\) |
0.639004 | + | 0.769203i | \(0.279347\pi\) | |||||||
\(314\) | −12.3430 | + | 6.32508i | −0.696556 | + | 0.356945i | ||||
\(315\) | −0.0343490 | − | 0.0255514i | −0.00193535 | − | 0.00143966i | ||||
\(316\) | 0.850300 | + | 0.611789i | 0.0478331 | + | 0.0344158i | ||||
\(317\) | −17.9792 | − | 4.81751i | −1.00981 | − | 0.270579i | −0.284262 | − | 0.958747i | \(-0.591748\pi\) |
−0.725551 | + | 0.688168i | \(0.758415\pi\) | |||||||
\(318\) | 29.5401 | − | 8.64385i | 1.65653 | − | 0.484723i | ||||
\(319\) | 2.92439 | − | 5.06520i | 0.163735 | − | 0.283597i | ||||
\(320\) | 0.00359675 | − | 0.0934190i | 0.000201064 | − | 0.00522228i | ||||
\(321\) | 0.628435 | + | 8.60356i | 0.0350758 | + | 0.480204i | ||||
\(322\) | 2.18211 | + | 10.1505i | 0.121605 | + | 0.565668i | ||||
\(323\) | −6.27476 | + | 6.27476i | −0.349137 | + | 0.349137i | ||||
\(324\) | 13.5898 | − | 11.8033i | 0.754988 | − | 0.655739i | ||||
\(325\) | 18.5482 | + | 18.5482i | 1.02887 | + | 1.02887i | ||||
\(326\) | 8.77903 | + | 5.67234i | 0.486225 | + | 0.314162i | ||||
\(327\) | 7.67912 | − | 0.560910i | 0.424656 | − | 0.0310184i | ||||
\(328\) | −1.16756 | − | 10.4130i | −0.0644675 | − | 0.574961i | ||||
\(329\) | −2.77534 | − | 1.60234i | −0.153009 | − | 0.0883400i | ||||
\(330\) | 0.0475916 | + | 0.0260447i | 0.00261983 | + | 0.00143371i | ||||
\(331\) | 2.72957 | − | 10.1869i | 0.150031 | − | 0.559923i | −0.849449 | − | 0.527671i | \(-0.823065\pi\) |
0.999480 | − | 0.0322521i | \(-0.0102679\pi\) | |||||||
\(332\) | 22.2386 | − | 3.62777i | 1.22050 | − | 0.199100i | ||||
\(333\) | −2.33745 | + | 3.14226i | −0.128091 | + | 0.172195i | ||||
\(334\) | −3.16388 | + | 9.81461i | −0.173120 | + | 0.537031i | ||||
\(335\) | −0.0718638 | − | 0.124472i | −0.00392634 | − | 0.00680062i | ||||
\(336\) | 6.69322 | − | 5.17456i | 0.365145 | − | 0.282295i | ||||
\(337\) | 12.1222 | − | 20.9962i | 0.660336 | − | 1.14374i | −0.320192 | − | 0.947353i | \(-0.603747\pi\) |
0.980527 | − | 0.196382i | \(-0.0629194\pi\) | |||||||
\(338\) | −13.7794 | − | 15.2326i | −0.749503 | − | 0.828546i | ||||
\(339\) | 25.8773 | − | 9.00011i | 1.40546 | − | 0.488819i | ||||
\(340\) | −0.0279098 | + | 0.0228155i | −0.00151362 | + | 0.00123734i | ||||
\(341\) | 7.84884 | + | 7.84884i | 0.425038 | + | 0.425038i | ||||
\(342\) | −10.1271 | + | 22.2095i | −0.547612 | + | 1.20095i | ||||
\(343\) | 15.2749i | 0.824767i | ||||||||
\(344\) | −13.1960 | + | 5.17081i | −0.711481 | + | 0.278792i | ||||
\(345\) | −0.0683602 | − | 0.100673i | −0.00368039 | − | 0.00542007i | ||||
\(346\) | −1.68016 | + | 33.5436i | −0.0903257 | + | 1.80331i | ||||
\(347\) | −18.5696 | + | 4.97570i | −0.996867 | + | 0.267110i | −0.720132 | − | 0.693837i | \(-0.755919\pi\) |
−0.276735 | + | 0.960946i | \(0.589252\pi\) | |||||||
\(348\) | 9.10923 | + | 5.59468i | 0.488306 | + | 0.299906i | ||||
\(349\) | 15.6423 | + | 4.19134i | 0.837313 | + | 0.224357i | 0.651901 | − | 0.758304i | \(-0.273972\pi\) |
0.185411 | + | 0.982661i | \(0.440638\pi\) | |||||||
\(350\) | −8.21798 | − | 2.64919i | −0.439270 | − | 0.141605i | ||||
\(351\) | 26.0039 | + | 8.18252i | 1.38798 | + | 0.436750i | ||||
\(352\) | −7.49295 | + | 7.66829i | −0.399376 | + | 0.408721i | ||||
\(353\) | −7.69391 | − | 13.3262i | −0.409505 | − | 0.709284i | 0.585329 | − | 0.810796i | \(-0.300965\pi\) |
−0.994834 | + | 0.101512i | \(0.967632\pi\) | |||||||
\(354\) | 5.27374 | − | 21.6505i | 0.280296 | − | 1.15071i | ||||
\(355\) | −0.0430587 | − | 0.160697i | −0.00228532 | − | 0.00852893i | ||||
\(356\) | 8.80297 | + | 19.5282i | 0.466556 | + | 1.03499i | ||||
\(357\) | −3.20420 | − | 0.612527i | −0.169584 | − | 0.0324184i | ||||
\(358\) | 19.2325 | + | 12.4266i | 1.01647 | + | 0.656766i | ||||
\(359\) | − | 2.97883i | − | 0.157217i | −0.996906 | − | 0.0786083i | \(-0.974952\pi\) | ||
0.996906 | − | 0.0786083i | \(-0.0250476\pi\) | |||||||
\(360\) | −0.0499495 | + | 0.0856598i | −0.00263257 | + | 0.00451467i | ||||
\(361\) | − | 14.1010i | − | 0.742159i | ||||||
\(362\) | 3.27059 | − | 5.06185i | 0.171898 | − | 0.266045i | ||||
\(363\) | 4.21492 | + | 12.1188i | 0.221226 | + | 0.636073i | ||||
\(364\) | 11.9830 | + | 4.53636i | 0.628080 | + | 0.237770i | ||||
\(365\) | 0.0130689 | + | 0.0487737i | 0.000684056 | + | 0.00255293i | ||||
\(366\) | 21.2292 | − | 22.2231i | 1.10967 | − | 1.16162i | ||||
\(367\) | 12.5585 | + | 21.7519i | 0.655547 | + | 1.13544i | 0.981756 | + | 0.190143i | \(0.0608952\pi\) |
−0.326210 | + | 0.945297i | \(0.605772\pi\) | |||||||
\(368\) | 22.8015 | − | 7.64260i | 1.18861 | − | 0.398398i | ||||
\(369\) | −4.09933 | + | 10.3302i | −0.213403 | + | 0.537769i | ||||
\(370\) | 0.00661936 | − | 0.0205338i | 0.000344124 | − | 0.00106750i | ||||
\(371\) | −14.8211 | − | 3.97131i | −0.769474 | − | 0.206180i | ||||
\(372\) | −14.7303 | + | 13.9506i | −0.763730 | + | 0.723302i | ||||
\(373\) | −28.8046 | + | 7.71816i | −1.49144 | + | 0.399631i | −0.910224 | − | 0.414116i | \(-0.864091\pi\) |
−0.581220 | + | 0.813747i | \(0.697424\pi\) | |||||||
\(374\) | 4.12892 | + | 0.206812i | 0.213501 | + | 0.0106940i | ||||
\(375\) | 0.201867 | − | 0.0147451i | 0.0104244 | − | 0.000761435i | ||||
\(376\) | −2.97201 | + | 6.80188i | −0.153270 | + | 0.350780i | ||||
\(377\) | 16.1901i | 0.833832i | ||||||||
\(378\) | −8.84603 | + | 1.50660i | −0.454991 | + | 0.0774913i | ||||
\(379\) | 10.1985 | + | 10.1985i | 0.523864 | + | 0.523864i | 0.918736 | − | 0.394872i | \(-0.129211\pi\) |
−0.394872 | + | 0.918736i | \(0.629211\pi\) | |||||||
\(380\) | 0.0134369 | − | 0.133795i | 0.000689300 | − | 0.00686352i | ||||
\(381\) | −7.50518 | − | 6.48341i | −0.384502 | − | 0.332155i | ||||
\(382\) | 4.73422 | − | 4.28258i | 0.242224 | − | 0.219116i | ||||
\(383\) | 10.5750 | − | 18.3164i | 0.540356 | − | 0.935924i | −0.458528 | − | 0.888680i | \(-0.651623\pi\) |
0.998883 | − | 0.0472436i | \(-0.0150437\pi\) | |||||||
\(384\) | −13.6384 | − | 14.0711i | −0.695979 | − | 0.718062i | ||||
\(385\) | −0.0135230 | − | 0.0234224i | −0.000689194 | − | 0.00119372i | ||||
\(386\) | −4.73236 | − | 1.52555i | −0.240871 | − | 0.0776482i | ||||
\(387\) | 14.9317 | + | 1.73945i | 0.759020 | + | 0.0884213i | ||||
\(388\) | −28.5345 | − | 20.5305i | −1.44862 | − | 1.04228i | ||||
\(389\) | −8.13193 | + | 30.3488i | −0.412305 | + | 1.53874i | 0.377867 | + | 0.925860i | \(0.376658\pi\) |
−0.790173 | + | 0.612884i | \(0.790009\pi\) | |||||||
\(390\) | −0.150137 | + | 0.00343379i | −0.00760246 | + | 0.000173877i | ||||
\(391\) | −8.03056 | − | 4.63645i | −0.406123 | − | 0.234475i | ||||
\(392\) | 15.4843 | − | 1.73618i | 0.782078 | − | 0.0876904i | ||||
\(393\) | 5.12553 | − | 10.5921i | 0.258549 | − | 0.534303i | ||||
\(394\) | 5.23076 | − | 8.09560i | 0.263522 | − | 0.407850i | ||||
\(395\) | 0.00432797 | + | 0.00432797i | 0.000217764 | + | 0.000217764i | ||||
\(396\) | 10.8382 | − | 3.44231i | 0.544638 | − | 0.172983i | ||||
\(397\) | −3.24113 | + | 3.24113i | −0.162668 | + | 0.162668i | −0.783747 | − | 0.621080i | \(-0.786694\pi\) |
0.621080 | + | 0.783747i | \(0.286694\pi\) | |||||||
\(398\) | −6.44749 | + | 1.38605i | −0.323184 | + | 0.0694765i | ||||
\(399\) | 10.0671 | − | 6.83587i | 0.503986 | − | 0.342221i | ||||
\(400\) | −3.97696 | + | 19.6000i | −0.198848 | + | 0.980002i | ||||
\(401\) | −10.7429 | + | 18.6073i | −0.536476 | + | 0.929203i | 0.462614 | + | 0.886560i | \(0.346911\pi\) |
−0.999090 | + | 0.0426439i | \(0.986422\pi\) | |||||||
\(402\) | −29.2706 | − | 7.12990i | −1.45989 | − | 0.355607i | ||||
\(403\) | −29.6789 | − | 7.95244i | −1.47841 | − | 0.396139i | ||||
\(404\) | −2.24392 | − | 13.7554i | −0.111639 | − | 0.684357i | ||||
\(405\) | 0.0894731 | − | 0.0552828i | 0.00444596 | − | 0.00274702i | ||||
\(406\) | −2.43041 | − | 4.74280i | −0.120619 | − | 0.235381i | ||||
\(407\) | −2.14269 | + | 1.23708i | −0.106209 | + | 0.0613200i | ||||
\(408\) | −0.582952 | + | 7.53357i | −0.0288604 | + | 0.372967i | ||||
\(409\) | 23.1426 | + | 13.3614i | 1.14433 | + | 0.660678i | 0.947499 | − | 0.319760i | \(-0.103602\pi\) |
0.196829 | + | 0.980438i | \(0.436936\pi\) | |||||||
\(410\) | 0.00306282 | − | 0.0611478i | 0.000151262 | − | 0.00301988i | ||||
\(411\) | 7.16865 | + | 1.37039i | 0.353604 | + | 0.0675963i | ||||
\(412\) | −5.06925 | − | 0.509102i | −0.249744 | − | 0.0250817i | ||||
\(413\) | −7.85515 | + | 7.85515i | −0.386527 | + | 0.386527i | ||||
\(414\) | −25.1563 | − | 4.21521i | −1.23637 | − | 0.207166i | ||||
\(415\) | 0.131658 | 0.00646283 | ||||||||
\(416\) | 7.34917 | − | 28.7535i | 0.360323 | − | 1.40976i | ||||
\(417\) | 25.2638 | + | 12.2252i | 1.23718 | + | 0.598669i | ||||
\(418\) | −11.4361 | + | 10.3451i | −0.559356 | + | 0.505994i | ||||
\(419\) | 2.36864 | + | 8.83989i | 0.115716 | + | 0.431857i | 0.999339 | − | 0.0363407i | \(-0.0115702\pi\) |
−0.883624 | + | 0.468198i | \(0.844903\pi\) | |||||||
\(420\) | 0.0434663 | − | 0.0235440i | 0.00212094 | − | 0.00114883i | ||||
\(421\) | 7.75295 | − | 28.9344i | 0.377856 | − | 1.41018i | −0.471272 | − | 0.881988i | \(-0.656205\pi\) |
0.849127 | − | 0.528188i | \(-0.177128\pi\) | |||||||
\(422\) | −22.7308 | + | 11.6482i | −1.10652 | + | 0.567026i | ||||
\(423\) | 6.17391 | − | 4.88555i | 0.300186 | − | 0.237544i | ||||
\(424\) | −5.31603 | + | 35.1405i | −0.258169 | + | 1.70657i | ||||
\(425\) | 6.67852 | − | 3.85585i | 0.323956 | − | 0.187036i | ||||
\(426\) | −30.5906 | − | 16.7408i | −1.48212 | − | 0.811094i | ||||
\(427\) | −14.7993 | + | 3.96545i | −0.716187 | + | 0.191902i | ||||
\(428\) | −9.31581 | − | 3.52665i | −0.450297 | − | 0.170467i | ||||
\(429\) | 13.0328 | + | 11.2585i | 0.629231 | + | 0.543566i | ||||
\(430\) | −0.0809629 | + | 0.0174050i | −0.00390438 | + | 0.000839345i | ||||
\(431\) | −7.05544 | −0.339849 | −0.169924 | − | 0.985457i | \(-0.554352\pi\) | ||||
−0.169924 | + | 0.985457i | \(0.554352\pi\) | |||||||
\(432\) | 5.75101 | + | 19.9731i | 0.276696 | + | 0.960958i | ||||
\(433\) | 13.1552 | 0.632201 | 0.316100 | − | 0.948726i | \(-0.397626\pi\) | ||||
0.316100 | + | 0.948726i | \(0.397626\pi\) | |||||||
\(434\) | 9.88808 | − | 2.12569i | 0.474643 | − | 0.102036i | ||||
\(435\) | 0.0472679 | + | 0.0408327i | 0.00226632 | + | 0.00195778i | ||||
\(436\) | −3.14771 | + | 8.31484i | −0.150748 | + | 0.398209i | ||||
\(437\) | 33.4109 | − | 8.95243i | 1.59826 | − | 0.428253i | ||||
\(438\) | 9.28463 | + | 5.08104i | 0.443637 | + | 0.242782i | ||||
\(439\) | 12.8757 | − | 7.43381i | 0.614525 | − | 0.354796i | −0.160209 | − | 0.987083i | \(-0.551217\pi\) |
0.774734 | + | 0.632287i | \(0.217884\pi\) | |||||||
\(440\) | −0.0504241 | + | 0.0371725i | −0.00240387 | + | 0.00177213i | ||||
\(441\) | −15.3612 | − | 6.09580i | −0.731488 | − | 0.290276i | ||||
\(442\) | −10.1843 | + | 5.21887i | −0.484418 | + | 0.248236i | ||||
\(443\) | 0.797625 | − | 2.97678i | 0.0378963 | − | 0.141431i | −0.944386 | − | 0.328840i | \(-0.893342\pi\) |
0.982282 | + | 0.187409i | \(0.0600090\pi\) | |||||||
\(444\) | −2.15381 | − | 3.97631i | −0.102216 | − | 0.188707i | ||||
\(445\) | 0.0323940 | + | 0.120896i | 0.00153562 | + | 0.00573102i | ||||
\(446\) | −5.99414 | + | 5.42231i | −0.283831 | + | 0.256754i | ||||
\(447\) | −6.07673 | − | 2.94053i | −0.287419 | − | 0.139082i | ||||
\(448\) | 2.16350 | + | 9.52643i | 0.102216 | + | 0.450082i | ||||
\(449\) | −21.8550 | −1.03140 | −0.515701 | − | 0.856769i | \(-0.672468\pi\) | ||||
−0.515701 | + | 0.856769i | \(0.672468\pi\) | |||||||
\(450\) | 13.4964 | − | 16.3653i | 0.636224 | − | 0.771469i | ||||
\(451\) | −4.96480 | + | 4.96480i | −0.233783 | + | 0.233783i | ||||
\(452\) | −3.16130 | + | 31.4778i | −0.148695 | + | 1.48059i | ||||
\(453\) | −25.5520 | − | 4.88462i | −1.20054 | − | 0.229500i | ||||
\(454\) | −1.44118 | + | 28.7724i | −0.0676378 | + | 1.35036i | ||||
\(455\) | 0.0648360 | + | 0.0374331i | 0.00303956 | + | 0.00175489i | ||||
\(456\) | −18.3332 | − | 21.4084i | −0.858529 | − | 1.00254i | ||||
\(457\) | 2.32261 | − | 1.34096i | 0.108647 | − | 0.0627275i | −0.444692 | − | 0.895684i | \(-0.646687\pi\) |
0.553339 | + | 0.832956i | \(0.313353\pi\) | |||||||
\(458\) | 2.47401 | + | 4.82788i | 0.115603 | + | 0.225592i | ||||
\(459\) | 4.30226 | − | 6.76179i | 0.200812 | − | 0.315613i | ||||
\(460\) | 0.138681 | − | 0.0226231i | 0.00646605 | − | 0.00105481i | ||||
\(461\) | −10.2573 | − | 2.74844i | −0.477732 | − | 0.128008i | 0.0119146 | − | 0.999929i | \(-0.496207\pi\) |
−0.489646 | + | 0.871921i | \(0.662874\pi\) | |||||||
\(462\) | −5.50800 | − | 1.34167i | −0.256255 | − | 0.0624200i | ||||
\(463\) | 11.8249 | − | 20.4814i | 0.549550 | − | 0.951849i | −0.448755 | − | 0.893655i | \(-0.648132\pi\) |
0.998305 | − | 0.0581943i | \(-0.0185343\pi\) | |||||||
\(464\) | −10.2898 | + | 6.81845i | −0.477692 | + | 0.316539i | ||||
\(465\) | −0.0980702 | + | 0.0665926i | −0.00454790 | + | 0.00308816i | ||||
\(466\) | −7.36999 | + | 1.58436i | −0.341408 | + | 0.0733942i | ||||
\(467\) | 2.22540 | − | 2.22540i | 0.102979 | − | 0.102979i | −0.653740 | − | 0.756719i | \(-0.726801\pi\) |
0.756719 | + | 0.653740i | \(0.226801\pi\) | |||||||
\(468\) | −21.2175 | + | 23.2527i | −0.980779 | + | 1.07486i | ||||
\(469\) | 10.6199 | + | 10.6199i | 0.490380 | + | 0.490380i | ||||
\(470\) | −0.0235377 | + | 0.0364291i | −0.00108572 | + | 0.00168035i | ||||
\(471\) | −7.39893 | + | 15.2902i | −0.340925 | + | 0.704536i | ||||
\(472\) | 20.1085 | + | 16.0538i | 0.925568 | + | 0.738936i | ||||
\(473\) | 8.22468 | + | 4.74852i | 0.378171 | + | 0.218337i | ||||
\(474\) | 1.28261 | − | 0.0293347i | 0.0589122 | − | 0.00134739i | ||||
\(475\) | −7.44518 | + | 27.7858i | −0.341608 | + | 1.27490i | ||||
\(476\) | 2.20000 | − | 3.05768i | 0.100837 | − | 0.140149i | ||||
\(477\) | 22.4990 | − | 30.2456i | 1.03016 | − | 1.38485i | ||||
\(478\) | −37.2519 | − | 12.0087i | −1.70386 | − | 0.549265i | ||||
\(479\) | −6.23896 | − | 10.8062i | −0.285066 | − | 0.493748i | 0.687559 | − | 0.726128i | \(-0.258682\pi\) |
−0.972625 | + | 0.232380i | \(0.925349\pi\) | |||||||
\(480\) | −0.0654124 | − | 0.0939750i | −0.00298565 | − | 0.00428935i | ||||
\(481\) | 3.42439 | − | 5.93121i | 0.156139 | − | 0.270440i | ||||
\(482\) | −1.77705 | + | 1.60752i | −0.0809423 | + | 0.0732205i | ||||
\(483\) | 9.62259 | + | 8.31255i | 0.437843 | + | 0.378234i | ||||
\(484\) | −14.7417 | − | 1.48050i | −0.670075 | − | 0.0672953i | ||||
\(485\) | −0.145238 | − | 0.145238i | −0.00659494 | − | 0.00659494i | ||||
\(486\) | 4.57564 | − | 21.5653i | 0.207555 | − | 0.978223i | ||||
\(487\) | 12.5314i | 0.567853i | 0.958846 | + | 0.283927i | \(0.0916372\pi\) | ||||
−0.958846 | + | 0.283927i | \(0.908363\pi\) | |||||||
\(488\) | 12.9473 | + | 33.0418i | 0.586098 | + | 1.49573i | ||||
\(489\) | 12.7672 | − | 0.932559i | 0.577351 | − | 0.0421718i | ||||
\(490\) | 0.0909282 | + | 0.00455448i | 0.00410772 | + | 0.000205751i | ||||
\(491\) | 14.6898 | − | 3.93613i | 0.662942 | − | 0.177635i | 0.0883688 | − | 0.996088i | \(-0.471835\pi\) |
0.574574 | + | 0.818453i | \(0.305168\pi\) | |||||||
\(492\) | −8.82446 | − | 9.31768i | −0.397837 | − | 0.420073i | ||||
\(493\) | 4.59756 | + | 1.23191i | 0.207064 | + | 0.0554825i | ||||
\(494\) | 13.0970 | − | 40.6279i | 0.589262 | − | 1.82794i | ||||
\(495\) | 0.0657397 | − | 0.00965524i | 0.00295478 | − | 0.000433971i | ||||
\(496\) | −7.44499 | − | 22.2120i | −0.334290 | − | 0.997346i | ||||
\(497\) | 8.69218 | + | 15.0553i | 0.389898 | + | 0.675322i | ||||
\(498\) | 19.0624 | − | 19.9548i | 0.854209 | − | 0.894197i | ||||
\(499\) | −7.88570 | − | 29.4298i | −0.353012 | − | 1.31746i | −0.882967 | − | 0.469434i | \(-0.844458\pi\) |
0.529955 | − | 0.848026i | \(-0.322209\pi\) | |||||||
\(500\) | −0.0827466 | + | 0.218579i | −0.00370054 | + | 0.00977516i | ||||
\(501\) | 4.14878 | + | 11.9286i | 0.185354 | + | 0.532933i | ||||
\(502\) | −1.07235 | + | 1.65966i | −0.0478613 | + | 0.0740744i | ||||
\(503\) | − | 1.90106i | − | 0.0847639i | −0.999101 | − | 0.0423820i | \(-0.986505\pi\) | ||
0.999101 | − | 0.0423820i | \(-0.0134946\pi\) | |||||||
\(504\) | 2.72492 | − | 9.99688i | 0.121378 | − | 0.445297i | ||||
\(505\) | − | 0.0814355i | − | 0.00362383i | ||||||
\(506\) | −13.5349 | − | 8.74522i | −0.601699 | − | 0.388772i | ||||
\(507\) | −24.7093 | − | 4.72352i | −1.09738 | − | 0.209779i | ||||
\(508\) | 10.4403 | − | 4.70632i | 0.463214 | − | 0.208809i | ||||
\(509\) | −3.34659 | − | 12.4896i | −0.148335 | − | 0.553593i | −0.999584 | − | 0.0288320i | \(-0.990821\pi\) |
0.851249 | − | 0.524761i | \(-0.175845\pi\) | |||||||
\(510\) | −0.0104489 | + | 0.0428961i | −0.000462683 | + | 0.00189947i | ||||
\(511\) | −2.63819 | − | 4.56947i | −0.116706 | − | 0.202142i | ||||
\(512\) | 21.3697 | − | 7.43868i | 0.944418 | − | 0.328746i | ||||
\(513\) | 6.48734 | + | 29.1829i | 0.286423 | + | 1.28846i | ||||
\(514\) | 31.8234 | + | 10.2587i | 1.40367 | + | 0.452494i | ||||
\(515\) | −0.0287544 | − | 0.00770471i | −0.00126707 | − | 0.000339510i | ||||
\(516\) | −9.08444 | + | 14.7912i | −0.399920 | + | 0.651148i | ||||
\(517\) | 4.80444 | − | 1.28734i | 0.211299 | − | 0.0566174i | ||||
\(518\) | −0.112779 | + | 2.25158i | −0.00495522 | + | 0.0989287i | ||||
\(519\) | 23.1074 | + | 34.0300i | 1.01430 | + | 1.49375i | ||||
\(520\) | 0.0694305 | − | 0.158902i | 0.00304473 | − | 0.00696831i | ||||
\(521\) | − | 1.24885i | − | 0.0547130i | −0.999626 | − | 0.0273565i | \(-0.991291\pi\) | ||
0.999626 | − | 0.0273565i | \(-0.00870893\pi\) | |||||||
\(522\) | 13.0327 | − | 1.25211i | 0.570424 | − | 0.0548036i | ||||
\(523\) | 9.58031 | + | 9.58031i | 0.418918 | + | 0.418918i | 0.884831 | − | 0.465913i | \(-0.154274\pi\) |
−0.465913 | + | 0.884831i | \(0.654274\pi\) | |||||||
\(524\) | 8.59962 | + | 10.5198i | 0.375676 | + | 0.459559i | ||||
\(525\) | −9.98811 | + | 3.47387i | −0.435917 | + | 0.151612i | ||||
\(526\) | 24.3877 | + | 26.9596i | 1.06335 | + | 1.17550i | ||||
\(527\) | −4.51656 | + | 7.82292i | −0.196745 | + | 0.340772i | ||||
\(528\) | −1.66671 | + | 13.0247i | −0.0725342 | + | 0.566827i | ||||
\(529\) | 6.57248 | + | 11.3839i | 0.285760 | + | 0.494951i | ||||
\(530\) | −0.0637143 | + | 0.197647i | −0.00276757 | + | 0.00858523i | ||||
\(531\) | −10.8193 | − | 25.0555i | −0.469518 | − | 1.08732i | ||||
\(532\) | 2.26226 | + | 13.8678i | 0.0980813 | + | 0.601247i | ||||
\(533\) | 5.03034 | − | 18.7735i | 0.217888 | − | 0.813169i | ||||
\(534\) | 23.0140 | + | 12.5945i | 0.995911 | + | 0.545015i | ||||
\(535\) | −0.0504047 | − | 0.0291012i | −0.00217918 | − | 0.00125815i | ||||
\(536\) | 21.7041 | − | 27.1859i | 0.937475 | − | 1.17425i | ||||
\(537\) | 27.9695 | − | 2.04299i | 1.20697 | − | 0.0881616i | ||||
\(538\) | −22.9957 | − | 14.8581i | −0.991413 | − | 0.640576i | ||||
\(539\) | −7.38278 | − | 7.38278i | −0.317999 | − | 0.317999i | ||||
\(540\) | 0.0143754 | + | 0.120591i | 0.000618620 | + | 0.00518941i | ||||
\(541\) | 13.0165 | − | 13.0165i | 0.559622 | − | 0.559622i | −0.369578 | − | 0.929200i | \(-0.620498\pi\) |
0.929200 | + | 0.369578i | \(0.120498\pi\) | |||||||
\(542\) | −2.11331 | − | 9.83047i | −0.0907743 | − | 0.422255i | ||||
\(543\) | −0.537699 | − | 7.36135i | −0.0230749 | − | 0.315906i | ||||
\(544\) | −7.60603 | − | 4.27484i | −0.326106 | − | 0.183282i | ||||
\(545\) | −0.0259743 | + | 0.0449887i | −0.00111262 | + | 0.00192711i | ||||
\(546\) | 15.0610 | − | 4.40706i | 0.644552 | − | 0.188605i | ||||
\(547\) | −9.76080 | − | 2.61540i | −0.417341 | − | 0.111826i | 0.0440366 | − | 0.999030i | \(-0.485978\pi\) |
−0.461378 | + | 0.887204i | \(0.652645\pi\) | |||||||
\(548\) | −4.92199 | + | 6.84086i | −0.210257 | + | 0.292227i | ||||
\(549\) | 4.35545 | − | 37.3878i | 0.185886 | − | 1.59567i | ||||
\(550\) | 11.9265 | − | 6.11167i | 0.508550 | − | 0.260602i | ||||
\(551\) | −15.3760 | + | 8.87733i | −0.655039 | + | 0.378187i | ||||
\(552\) | 16.6505 | − | 24.2949i | 0.708691 | − | 1.03406i | ||||
\(553\) | −0.553890 | − | 0.319788i | −0.0235538 | − | 0.0135988i | ||||
\(554\) | 31.7567 | + | 1.59066i | 1.34921 | + | 0.0675805i | ||||
\(555\) | −0.00867994 | − | 0.0249567i | −0.000368443 | − | 0.00105935i | ||||
\(556\) | −25.0912 | + | 20.5114i | −1.06411 | + | 0.869877i | ||||
\(557\) | 26.6259 | − | 26.6259i | 1.12818 | − | 1.12818i | 0.137702 | − | 0.990474i | \(-0.456029\pi\) |
0.990474 | − | 0.137702i | \(-0.0439715\pi\) | |||||||
\(558\) | −4.10621 | + | 24.5059i | −0.173830 | + | 1.03742i | ||||
\(559\) | −26.2889 | −1.11190 | ||||||||
\(560\) | 0.00351460 | + | 0.0569722i | 0.000148519 | + | 0.00240751i | ||||
\(561\) | 4.18879 | − | 2.84431i | 0.176851 | − | 0.120087i | ||||
\(562\) | −21.6854 | − | 23.9724i | −0.914745 | − | 1.01121i | ||||
\(563\) | 5.67141 | + | 21.1660i | 0.239021 | + | 0.892039i | 0.976295 | + | 0.216445i | \(0.0694462\pi\) |
−0.737274 | + | 0.675594i | \(0.763887\pi\) | |||||||
\(564\) | 2.11343 | + | 8.84201i | 0.0889915 | + | 0.372316i | ||||
\(565\) | −0.0478429 | + | 0.178552i | −0.00201276 | + | 0.00751174i | ||||
\(566\) | −3.98600 | − | 7.77843i | −0.167544 | − | 0.326952i | ||||
\(567\) | −7.53575 | + | 7.99973i | −0.316472 | + | 0.335957i | ||||
\(568\) | 32.4112 | − | 23.8935i | 1.35994 | − | 1.00255i | ||||
\(569\) | −8.15901 | + | 4.71061i | −0.342044 | + | 0.197479i | −0.661175 | − | 0.750231i | \(-0.729942\pi\) |
0.319132 | + | 0.947710i | \(0.396609\pi\) | |||||||
\(570\) | −0.0855839 | − | 0.140704i | −0.00358471 | − | 0.00589346i | ||||
\(571\) | −28.4258 | + | 7.61666i | −1.18958 | + | 0.318747i | −0.798720 | − | 0.601702i | \(-0.794489\pi\) |
−0.390861 | + | 0.920450i | \(0.627823\pi\) | |||||||
\(572\) | −18.1297 | + | 8.17258i | −0.758042 | + | 0.341713i | ||||
\(573\) | 1.46805 | − | 7.67950i | 0.0613285 | − | 0.320816i | ||||
\(574\) | 1.34461 | + | 6.25473i | 0.0561230 | + | 0.261067i | ||||
\(575\) | −30.0595 | −1.25357 | ||||||||
\(576\) | −23.7143 | − | 3.69216i | −0.988096 | − | 0.153840i | ||||
\(577\) | −42.9309 | −1.78724 | −0.893618 | − | 0.448828i | \(-0.851842\pi\) | ||||
−0.893618 | + | 0.448828i | \(0.851842\pi\) | |||||||
\(578\) | −4.34582 | − | 20.2155i | −0.180762 | − | 0.840852i | ||||
\(579\) | −5.75170 | + | 2.00044i | −0.239033 | + | 0.0831355i | ||||
\(580\) | −0.0657535 | + | 0.0296406i | −0.00273027 | + | 0.00123076i | ||||
\(581\) | −13.2888 | + | 3.56071i | −0.551310 | + | 0.147723i | ||||
\(582\) | −43.0419 | + | 0.984417i | −1.78415 | + | 0.0408054i | ||||
\(583\) | 20.6244 | − | 11.9075i | 0.854175 | − | 0.493158i | ||||
\(584\) | −9.83721 | + | 7.25197i | −0.407067 | + | 0.300089i | ||||
\(585\) | −0.144232 | + | 0.114134i | −0.00596324 | + | 0.00471884i | ||||
\(586\) | −2.51559 | − | 4.90901i | −0.103918 | − | 0.202789i | ||||
\(587\) | −8.13523 | + | 30.3611i | −0.335777 | + | 1.25314i | 0.567247 | + | 0.823548i | \(0.308008\pi\) |
−0.903024 | + | 0.429589i | \(0.858658\pi\) | |||||||
\(588\) | 13.8556 | − | 13.1222i | 0.571395 | − | 0.541149i | ||||
\(589\) | −8.72095 | − | 32.5470i | −0.359340 | − | 1.34108i | ||||
\(590\) | 0.100859 | + | 0.111496i | 0.00415230 | + | 0.00459020i | ||||
\(591\) | −0.859962 | − | 11.7733i | −0.0353741 | − | 0.484288i | ||||
\(592\) | 5.21184 | − | 0.321517i | 0.214205 | − | 0.0132143i | ||||
\(593\) | 0.434128 | 0.0178275 | 0.00891374 | − | 0.999960i | \(-0.497163\pi\) | ||||
0.00891374 | + | 0.999960i | \(0.497163\pi\) | |||||||
\(594\) | 8.05490 | − | 11.3618i | 0.330497 | − | 0.466182i | ||||
\(595\) | 0.0155634 | − | 0.0155634i | 0.000638037 | − | 0.000638037i | ||||
\(596\) | 6.03522 | − | 4.93362i | 0.247212 | − | 0.202089i | ||||
\(597\) | −5.28002 | + | 6.11215i | −0.216097 | + | 0.250154i | ||||
\(598\) | 44.5505 | + | 2.23148i | 1.82180 | + | 0.0912519i | ||||
\(599\) | −3.46143 | − | 1.99846i | −0.141430 | − | 0.0816547i | 0.427615 | − | 0.903961i | \(-0.359354\pi\) |
−0.569045 | + | 0.822306i | \(0.692687\pi\) | |||||||
\(600\) | 10.5741 | + | 22.0943i | 0.431684 | + | 0.901995i | ||||
\(601\) | 3.54563 | − | 2.04707i | 0.144629 | − | 0.0835019i | −0.425939 | − | 0.904752i | \(-0.640056\pi\) |
0.570569 | + | 0.821250i | \(0.306723\pi\) | |||||||
\(602\) | 7.70119 | − | 3.94642i | 0.313877 | − | 0.160844i | ||||
\(603\) | −33.8741 | + | 14.6273i | −1.37946 | + | 0.595669i | ||||
\(604\) | 17.5440 | − | 24.3836i | 0.713854 | − | 0.992155i | ||||
\(605\) | −0.0836192 | − | 0.0224057i | −0.00339961 | − | 0.000910922i | ||||
\(606\) | −12.3428 | − | 11.7909i | −0.501393 | − | 0.478971i | ||||
\(607\) | 16.8996 | − | 29.2709i | 0.685932 | − | 1.18807i | −0.287211 | − | 0.957867i | \(-0.592728\pi\) |
0.973143 | − | 0.230202i | \(-0.0739386\pi\) | |||||||
\(608\) | 31.3374 | − | 8.78648i | 1.27090 | − | 0.356339i | ||||
\(609\) | −5.87527 | − | 2.84304i | −0.238078 | − | 0.115206i | ||||
\(610\) | 0.0435809 | + | 0.202725i | 0.00176454 | + | 0.00820810i | ||||
\(611\) | −9.73570 | + | 9.73570i | −0.393864 | + | 0.393864i | ||||
\(612\) | 4.98871 | + | 7.79452i | 0.201657 | + | 0.315075i | ||||
\(613\) | 1.73094 | + | 1.73094i | 0.0699119 | + | 0.0699119i | 0.741198 | − | 0.671286i | \(-0.234258\pi\) |
−0.671286 | + | 0.741198i | \(0.734258\pi\) | |||||||
\(614\) | 18.1611 | + | 11.7343i | 0.732924 | + | 0.473560i | ||||
\(615\) | −0.0421233 | − | 0.0620346i | −0.00169858 | − | 0.00250147i | ||||
\(616\) | 4.08417 | − | 5.11570i | 0.164556 | − | 0.206117i | ||||
\(617\) | 14.9093 | + | 8.60788i | 0.600225 | + | 0.346540i | 0.769130 | − | 0.639092i | \(-0.220690\pi\) |
−0.168905 | + | 0.985632i | \(0.554023\pi\) | |||||||
\(618\) | −5.33105 | + | 3.24263i | −0.214446 | + | 0.130438i | ||||
\(619\) | −1.70053 | + | 6.34645i | −0.0683499 | + | 0.255085i | −0.991643 | − | 0.129010i | \(-0.958820\pi\) |
0.923293 | + | 0.384095i | \(0.125487\pi\) | |||||||
\(620\) | −0.0220381 | − | 0.135095i | −0.000885071 | − | 0.00542556i | ||||
\(621\) | −27.7016 | + | 14.4408i | −1.11163 | + | 0.579490i | ||||
\(622\) | 9.78871 | − | 30.3653i | 0.392491 | − | 1.21754i | ||||
\(623\) | −6.53931 | − | 11.3264i | −0.261992 | − | 0.453783i | ||||
\(624\) | −14.0314 | − | 33.5303i | −0.561705 | − | 1.34229i | ||||
\(625\) | 12.4990 | − | 21.6489i | 0.499959 | − | 0.865954i | ||||
\(626\) | 5.66623 | + | 6.26379i | 0.226468 | + | 0.250351i | ||||
\(627\) | −3.54624 | + | 18.5507i | −0.141623 | + | 0.740846i | ||||
\(628\) | −12.4139 | − | 15.1858i | −0.495370 | − | 0.605978i | ||||
\(629\) | −1.42374 | − | 1.42374i | −0.0567684 | − | 0.0567684i | ||||
\(630\) | 0.0251184 | − | 0.0550865i | 0.00100074 | − | 0.00219470i | ||||
\(631\) | − | 13.3295i | − | 0.530639i | −0.964161 | − | 0.265319i | \(-0.914523\pi\) | ||
0.964161 | − | 0.265319i | \(-0.0854774\pi\) | |||||||
\(632\) | −0.593141 | + | 1.35749i | −0.0235939 | + | 0.0539980i | ||||
\(633\) | −13.6258 | + | 28.1583i | −0.541577 | + | 1.11919i | ||||
\(634\) | 1.31686 | − | 26.2904i | 0.0522990 | − | 1.04413i | ||||
\(635\) | 0.0646345 | − | 0.0173188i | 0.00256494 | − | 0.000687274i | ||||
\(636\) | 20.7314 | + | 38.2738i | 0.822055 | + | 1.51765i | ||||
\(637\) | 27.9166 | + | 7.48023i | 1.10610 | + | 0.296377i | ||||
\(638\) | 7.87249 | + | 2.53781i | 0.311675 | + | 0.100473i | ||||
\(639\) | −42.2557 | + | 6.20612i | −1.67161 | + | 0.245510i | ||||
\(640\) | 0.130233 | − | 0.0227940i | 0.00514790 | − | 0.000901012i | ||||
\(641\) | 8.26044 | + | 14.3075i | 0.326268 | + | 0.565113i | 0.981768 | − | 0.190082i | \(-0.0608755\pi\) |
−0.655500 | + | 0.755195i | \(0.727542\pi\) | |||||||
\(642\) | −11.7087 | + | 3.42613i | −0.462106 | + | 0.135219i | ||||
\(643\) | 6.43213 | + | 24.0050i | 0.253659 | + | 0.946667i | 0.968832 | + | 0.247719i | \(0.0796811\pi\) |
−0.715173 | + | 0.698947i | \(0.753652\pi\) | |||||||
\(644\) | −13.3858 | + | 6.03410i | −0.527475 | + | 0.237777i | ||||
\(645\) | −0.0663027 | + | 0.0767519i | −0.00261067 | + | 0.00302210i | ||||
\(646\) | −10.5407 | − | 6.81060i | −0.414718 | − | 0.267959i | ||||
\(647\) | − | 26.9660i | − | 1.06014i | −0.847954 | − | 0.530071i | \(-0.822165\pi\) | ||
0.847954 | − | 0.530071i | \(-0.177835\pi\) | |||||||
\(648\) | 20.3588 | + | 15.2813i | 0.799771 | + | 0.600305i | ||||
\(649\) | − | 17.2418i | − | 0.676800i | ||||||
\(650\) | −20.1321 | + | 31.1582i | −0.789645 | + | 1.22213i | ||||
\(651\) | 8.09761 | − | 9.37378i | 0.317370 | − | 0.367387i | ||||
\(652\) | −5.23333 | + | 13.8241i | −0.204953 | + | 0.541393i | ||||
\(653\) | −1.41419 | − | 5.27782i | −0.0553414 | − | 0.206537i | 0.932719 | − | 0.360604i | \(-0.117429\pi\) |
−0.988060 | + | 0.154067i | \(0.950763\pi\) | |||||||
\(654\) | 3.05800 | + | 10.4506i | 0.119577 | + | 0.408652i | ||||
\(655\) | 0.0396959 | + | 0.0687553i | 0.00155105 | + | 0.00268649i | ||||
\(656\) | 14.0502 | − | 4.70935i | 0.548569 | − | 0.183869i | ||||
\(657\) | 12.8251 | − | 1.88364i | 0.500356 | − | 0.0734876i | ||||
\(658\) | 1.39053 | − | 4.31352i | 0.0542083 | − | 0.168159i | ||||
\(659\) | 0.689165 | + | 0.184661i | 0.0268460 | + | 0.00719337i | 0.272217 | − | 0.962236i | \(-0.412243\pi\) |
−0.245371 | + | 0.969429i | \(0.578910\pi\) | |||||||
\(660\) | −0.0218643 | + | 0.0735427i | −0.000851069 | + | 0.00286265i | ||||
\(661\) | −36.9228 | + | 9.89344i | −1.43613 | + | 0.384810i | −0.891177 | − | 0.453656i | \(-0.850120\pi\) |
−0.544954 | + | 0.838466i | \(0.683453\pi\) | |||||||
\(662\) | 14.8960 | + | 0.746122i | 0.578949 | + | 0.0289989i | ||||
\(663\) | −6.10491 | + | 12.6161i | −0.237095 | + | 0.489968i | ||||
\(664\) | 11.6258 | + | 29.6693i | 0.451170 | + | 1.15139i | ||||
\(665\) | 0.0821010i | 0.00318374i | ||||||||
\(666\) | −5.03933 | − | 2.29784i | −0.195270 | − | 0.0890397i | ||||
\(667\) | −13.1190 | − | 13.1190i | −0.507970 | − | 0.507970i | ||||
\(668\) | −14.5103 | − | 1.45726i | −0.561421 | − | 0.0563833i | ||||
\(669\) | −1.85874 | + | 9.72326i | −0.0718630 | + | 0.375923i | ||||
\(670\) | 0.150738 | − | 0.136357i | 0.00582351 | − | 0.00526795i | ||||
\(671\) | 11.8899 | − | 20.5940i | 0.459006 | − | 0.795022i | ||||
\(672\) | 9.14390 | + | 7.71618i | 0.352734 | + | 0.297658i | ||||
\(673\) | −6.39173 | − | 11.0708i | −0.246383 | − | 0.426748i | 0.716137 | − | 0.697960i | \(-0.245909\pi\) |
−0.962520 | + | 0.271212i | \(0.912575\pi\) | |||||||
\(674\) | 32.6329 | + | 10.5197i | 1.25697 | + | 0.405204i | ||||
\(675\) | 1.11828 | − | 25.9560i | 0.0430427 | − | 0.999046i | ||||
\(676\) | 16.9654 | − | 23.5794i | 0.652514 | − | 0.906901i | ||||
\(677\) | 6.82184 | − | 25.4595i | 0.262185 | − | 0.978487i | −0.701766 | − | 0.712407i | \(-0.747605\pi\) |
0.963951 | − | 0.266079i | \(-0.0857284\pi\) | |||||||
\(678\) | 20.1353 | + | 33.1035i | 0.773292 | + | 1.27133i | ||||
\(679\) | 18.5875 | + | 10.7315i | 0.713323 | + | 0.411837i | ||||
\(680\) | −0.0398409 | − | 0.0318073i | −0.00152783 | − | 0.00121976i | ||||
\(681\) | 19.8207 | + | 29.1897i | 0.759529 | + | 1.11855i | ||||
\(682\) | −8.51910 | + | 13.1849i | −0.326213 | + | 0.504877i | ||||
\(683\) | 9.42670 | + | 9.42670i | 0.360703 | + | 0.360703i | 0.864072 | − | 0.503369i | \(-0.167906\pi\) |
−0.503369 | + | 0.864072i | \(0.667906\pi\) | |||||||
\(684\) | −33.7175 | − | 7.40069i | −1.28922 | − | 0.282972i | ||||
\(685\) | −0.0348195 | + | 0.0348195i | −0.00133039 | + | 0.00133039i | ||||
\(686\) | −21.1195 | + | 4.54016i | −0.806345 | + | 0.173344i | ||||
\(687\) | 5.98065 | + | 2.89404i | 0.228176 | + | 0.110414i | ||||
\(688\) | −11.0716 | − | 16.7082i | −0.422099 | − | 0.636995i | ||||
\(689\) | −32.9613 | + | 57.0906i | −1.25572 | + | 2.17498i | ||||
\(690\) | 0.118875 | − | 0.124440i | 0.00452549 | − | 0.00473734i | ||||
\(691\) | −15.1910 | − | 4.07041i | −0.577891 | − | 0.154846i | −0.0419780 | − | 0.999119i | \(-0.513366\pi\) |
−0.535913 | + | 0.844273i | \(0.680033\pi\) | |||||||
\(692\) | −46.8776 | + | 7.64714i | −1.78202 | + | 0.290700i | ||||
\(693\) | −6.37425 | + | 2.75248i | −0.242138 | + | 0.104558i | ||||
\(694\) | −12.3990 | − | 24.1958i | −0.470659 | − | 0.918462i | ||||
\(695\) | −0.163992 | + | 0.0946807i | −0.00622056 | + | 0.00359144i | ||||
\(696\) | −5.02781 | + | 14.2576i | −0.190579 | + | 0.540432i | ||||
\(697\) | −4.94841 | − | 2.85696i | −0.187434 | − | 0.108215i | ||||
\(698\) | −1.14569 | + | 22.8732i | −0.0433651 | + | 0.865764i | ||||
\(699\) | −6.03547 | + | 6.98666i | −0.228283 | + | 0.264260i | ||||
\(700\) | 1.22020 | − | 12.1498i | 0.0461192 | − | 0.459220i | ||||
\(701\) | 9.62303 | − | 9.62303i | 0.363457 | − | 0.363457i | −0.501627 | − | 0.865084i | \(-0.667265\pi\) |
0.865084 | + | 0.501627i | \(0.167265\pi\) | |||||||
\(702\) | −3.58423 | + | 38.3857i | −0.135278 | + | 1.44877i | ||||
\(703\) | 7.51063 | 0.283269 | ||||||||
\(704\) | −12.8295 | − | 8.08070i | −0.483530 | − | 0.304553i | ||||
\(705\) | 0.00386971 | + | 0.0529782i | 0.000145742 | + | 0.00199527i | ||||
\(706\) | 16.1383 | − | 14.5988i | 0.607374 | − | 0.549431i | ||||
\(707\) | 2.20244 | + | 8.21961i | 0.0828312 | + | 0.309130i | ||||
\(708\) | 31.5021 | + | 0.856431i | 1.18392 | + | 0.0321866i | ||||
\(709\) | −10.8223 | + | 40.3893i | −0.406439 | + | 1.51685i | 0.394947 | + | 0.918704i | \(0.370763\pi\) |
−0.801386 | + | 0.598148i | \(0.795904\pi\) | |||||||
\(710\) | 0.209386 | − | 0.107298i | 0.00785812 | − | 0.00402683i | ||||
\(711\) | 1.23216 | − | 0.975036i | 0.0462097 | − | 0.0365667i | ||||
\(712\) | −24.3836 | + | 17.9756i | −0.913816 | + | 0.673663i | ||||
\(713\) | 30.4931 | − | 17.6052i | 1.14197 | − | 0.659319i | ||||
\(714\) | −0.105488 | − | 4.61227i | −0.00394778 | − | 0.172610i | ||||
\(715\) | −0.112239 | + | 0.0300742i | −0.00419749 | + | 0.00112471i | ||||
\(716\) | −11.4648 | + | 30.2850i | −0.428462 | + | 1.13180i | ||||
\(717\) | −45.2759 | + | 15.7470i | −1.69086 | + | 0.588081i | ||||
\(718\) | 4.11861 | − | 0.885398i | 0.153705 | − | 0.0330428i | ||||
\(719\) | 48.7757 | 1.81903 | 0.909514 | − | 0.415674i | \(-0.136454\pi\) | ||||
0.909514 | + | 0.415674i | \(0.136454\pi\) | |||||||
\(720\) | −0.133282 | − | 0.0436008i | −0.00496713 | − | 0.00162491i | ||||
\(721\) | 3.11067 | 0.115847 | ||||||||
\(722\) | 19.4964 | − | 4.19125i | 0.725583 | − | 0.155982i | ||||
\(723\) | −0.551050 | + | 2.88260i | −0.0204938 | + | 0.107205i | ||||
\(724\) | 7.97077 | + | 3.01746i | 0.296231 | + | 0.112143i | ||||
\(725\) | 14.9037 | − | 3.99343i | 0.553509 | − | 0.148312i | ||||
\(726\) | −15.5030 | + | 9.42974i | −0.575370 | + | 0.349970i | ||||
\(727\) | 34.9918 | − | 20.2025i | 1.29777 | − | 0.749270i | 0.317755 | − | 0.948173i | \(-0.397071\pi\) |
0.980019 | + | 0.198902i | \(0.0637377\pi\) | |||||||
\(728\) | −2.71037 | + | 17.9164i | −0.100453 | + | 0.664024i | ||||
\(729\) | −11.4389 | − | 24.4571i | −0.423662 | − | 0.905820i | ||||
\(730\) | −0.0635513 | + | 0.0325664i | −0.00235214 | + | 0.00120534i | ||||
\(731\) | −2.00033 | + | 7.46535i | −0.0739850 | + | 0.276116i | ||||
\(732\) | 37.0361 | + | 22.7467i | 1.36890 | + | 0.840744i | ||||
\(733\) | 7.60991 | + | 28.4006i | 0.281078 | + | 1.04900i | 0.951658 | + | 0.307161i | \(0.0993789\pi\) |
−0.670579 | + | 0.741838i | \(0.733954\pi\) | |||||||
\(734\) | −26.3420 | + | 23.8290i | −0.972301 | + | 0.879544i | ||||
\(735\) | 0.0922468 | − | 0.0626383i | 0.00340257 | − | 0.00231045i | ||||
\(736\) | 17.3442 | + | 29.2544i | 0.639314 | + | 1.07833i | ||||
\(737\) | −23.3102 | −0.858644 | ||||||||
\(738\) | −15.5013 | − | 2.59740i | −0.570609 | − | 0.0956115i | ||||
\(739\) | 15.4222 | − | 15.4222i | 0.567316 | − | 0.567316i | −0.364060 | − | 0.931376i | \(-0.618610\pi\) |
0.931376 | + | 0.364060i | \(0.118610\pi\) | |||||||
\(740\) | 0.0303580 | + | 0.00304884i | 0.00111598 | + | 0.000112078i | ||||
\(741\) | −17.1740 | − | 49.3791i | −0.630904 | − | 1.81399i | ||||
\(742\) | 1.08555 | − | 21.6725i | 0.0398517 | − | 0.795621i | ||||
\(743\) | 21.5896 | + | 12.4647i | 0.792045 | + | 0.457287i | 0.840682 | − | 0.541529i | \(-0.182155\pi\) |
−0.0486373 | + | 0.998817i | \(0.515488\pi\) | |||||||
\(744\) | −23.6667 | − | 16.2199i | −0.867663 | − | 0.594652i | ||||
\(745\) | 0.0394451 | − | 0.0227736i | 0.00144515 | − | 0.000834361i | ||||
\(746\) | −19.2329 | − | 37.5319i | −0.704167 | − | 1.37414i | ||||
\(747\) | 3.91091 | − | 33.5718i | 0.143093 | − | 1.22833i | ||||
\(748\) | 0.941295 | + | 5.77022i | 0.0344172 | + | 0.210980i | ||||
\(749\) | 5.87459 | + | 1.57409i | 0.214653 | + | 0.0575161i | ||||
\(750\) | 0.0803881 | + | 0.274724i | 0.00293536 | + | 0.0100315i | ||||
\(751\) | −21.2809 | + | 36.8596i | −0.776551 | + | 1.34503i | 0.157368 | + | 0.987540i | \(0.449699\pi\) |
−0.933919 | + | 0.357486i | \(0.883634\pi\) | |||||||
\(752\) | −10.2878 | − | 2.08746i | −0.375159 | − | 0.0761217i | ||||
\(753\) | 0.176299 | + | 2.41362i | 0.00642470 | + | 0.0879571i | ||||
\(754\) | −22.3848 | + | 4.81218i | −0.815208 | + | 0.175249i | ||||
\(755\) | 0.124111 | − | 0.124111i | 0.00451686 | − | 0.00451686i | ||||
\(756\) | −4.71238 | − | 11.7829i | −0.171387 | − | 0.428542i | ||||
\(757\) | 1.80855 | + | 1.80855i | 0.0657328 | + | 0.0657328i | 0.739209 | − | 0.673476i | \(-0.235200\pi\) |
−0.673476 | + | 0.739209i | \(0.735200\pi\) | |||||||
\(758\) | −11.0694 | + | 17.1321i | −0.402060 | + | 0.622265i | ||||
\(759\) | −19.6835 | + | 1.43775i | −0.714467 | + | 0.0521872i | ||||
\(760\) | 0.188982 | − | 0.0211896i | 0.00685509 | − | 0.000768626i | ||||
\(761\) | −18.5805 | − | 10.7275i | −0.673543 | − | 0.388870i | 0.123875 | − | 0.992298i | \(-0.460468\pi\) |
−0.797418 | + | 0.603428i | \(0.793801\pi\) | |||||||
\(762\) | 6.73336 | − | 12.3039i | 0.243924 | − | 0.445724i | ||||
\(763\) | 1.40496 | − | 5.24337i | 0.0508629 | − | 0.189823i | ||||
\(764\) | 7.32835 | + | 5.27274i | 0.265130 | + | 0.190761i | ||||
\(765\) | 0.0214363 | + | 0.0496424i | 0.000775029 | + | 0.00179482i | ||||
\(766\) | 28.4679 | + | 9.17705i | 1.02859 | + | 0.331580i | ||||
\(767\) | 23.8636 | + | 41.3330i | 0.861665 | + | 1.49245i | ||||
\(768\) | 15.4013 | − | 23.0391i | 0.555747 | − | 0.831352i | ||||
\(769\) | −9.98382 | + | 17.2925i | −0.360026 | + | 0.623583i | −0.987965 | − | 0.154680i | \(-0.950565\pi\) |
0.627939 | + | 0.778263i | \(0.283899\pi\) | |||||||
\(770\) | 0.0283650 | − | 0.0256590i | 0.00102221 | − | 0.000924688i | ||||
\(771\) | 38.6781 | − | 13.4522i | 1.39296 | − | 0.484471i | ||||
\(772\) | 0.702657 | − | 6.99653i | 0.0252892 | − | 0.251810i | ||||
\(773\) | 24.8049 | + | 24.8049i | 0.892171 | + | 0.892171i | 0.994727 | − | 0.102557i | \(-0.0327022\pi\) |
−0.102557 | + | 0.994727i | \(0.532702\pi\) | |||||||
\(774\) | 2.03314 | + | 21.1620i | 0.0730797 | + | 0.760651i | ||||
\(775\) | 29.2823i | 1.05185i | ||||||||
\(776\) | 19.9047 | − | 45.5548i | 0.714537 | − | 1.63532i | ||||
\(777\) | 1.55106 | + | 2.28423i | 0.0556439 | + | 0.0819463i | ||||
\(778\) | −44.3781 | − | 2.22284i | −1.59103 | − | 0.0796927i | ||||
\(779\) | 20.5877 | − | 5.51646i | 0.737631 | − | 0.197648i | ||||
\(780\) | −0.0493728 | − | 0.206562i | −0.00176783 | − | 0.00739611i | ||||
\(781\) | −26.0625 | − | 6.98342i | −0.932589 | − | 0.249886i | ||||
\(782\) | 4.02355 | − | 12.4814i | 0.143882 | − | 0.446332i | ||||
\(783\) | 11.8161 | − | 10.8400i | 0.422274 | − | 0.387391i | ||||
\(784\) | 7.00291 | + | 20.8930i | 0.250104 | + | 0.746179i | ||||
\(785\) | −0.0573027 | − | 0.0992512i | −0.00204522 | − | 0.00354243i | ||||
\(786\) | 16.1684 | + | 3.93839i | 0.576709 | + | 0.140478i | ||||
\(787\) | −2.76911 | − | 10.3344i | −0.0987080 | − | 0.368383i | 0.898848 | − | 0.438261i | \(-0.144406\pi\) |
−0.997556 | + | 0.0698783i | \(0.977739\pi\) | |||||||
\(788\) | 12.7479 | + | 4.82593i | 0.454126 | + | 0.171917i | ||||
\(789\) | 43.7319 | + | 8.35998i | 1.55690 | + | 0.297623i | ||||
\(790\) | −0.00469756 | + | 0.00727036i | −0.000167132 | + | 0.000258668i | ||||
\(791\) | − | 19.3159i | − | 0.686794i | ||||||
\(792\) | 7.98086 | + | 13.9620i | 0.283588 | + | 0.496117i | ||||
\(793\) | 65.8254i | 2.33753i | ||||||||
\(794\) | −5.44463 | − | 3.51791i | −0.193223 | − | 0.124846i | ||||
\(795\) | 0.0835483 | + | 0.240219i | 0.00296315 | + | 0.00851971i | ||||
\(796\) | −3.83278 | − | 8.50250i | −0.135849 | − | 0.301363i | ||||
\(797\) | −12.5408 | − | 46.8027i | −0.444216 | − | 1.65784i | −0.717997 | − | 0.696046i | \(-0.754941\pi\) |
0.273781 | − | 0.961792i | \(-0.411726\pi\) | |||||||
\(798\) | 12.4437 | + | 11.8872i | 0.440502 | + | 0.420803i | ||||
\(799\) | 2.02389 | + | 3.50547i | 0.0716000 | + | 0.124015i | ||||
\(800\) | −28.2816 | + | 0.327083i | −0.999906 | + | 0.0115641i | ||||
\(801\) | 31.7898 | − | 4.66900i | 1.12324 | − | 0.164971i | ||||
\(802\) | −28.9200 | − | 9.32279i | −1.02120 | − | 0.329199i | ||||
\(803\) | 7.91029 | + | 2.11956i | 0.279148 | + | 0.0747975i | ||||
\(804\) | 1.15786 | − | 42.5896i | 0.0408346 | − | 1.50202i | ||||
\(805\) | −0.0828696 | + | 0.0222048i | −0.00292077 | + | 0.000782618i | ||||
\(806\) | 2.17378 | − | 43.3985i | 0.0765681 | − | 1.52865i | ||||
\(807\) | −33.4421 | + | 2.44273i | −1.17722 | + | 0.0859883i | ||||
\(808\) | 18.3516 | − | 7.19102i | 0.645608 | − | 0.252979i | ||||
\(809\) | − | 51.3577i | − | 1.80564i | −0.430019 | − | 0.902820i | \(-0.641493\pi\) | ||
0.430019 | − | 0.902820i | \(-0.358507\pi\) | |||||||
\(810\) | 0.103030 | + | 0.107276i | 0.00362009 | + | 0.00376930i | ||||
\(811\) | −2.55652 | − | 2.55652i | −0.0897715 | − | 0.0897715i | 0.660795 | − | 0.750566i | \(-0.270219\pi\) |
−0.750566 | + | 0.660795i | \(0.770219\pi\) | |||||||
\(812\) | 5.83513 | − | 4.77006i | 0.204773 | − | 0.167396i | ||||
\(813\) | −9.31917 | − | 8.05043i | −0.326837 | − | 0.282341i | ||||
\(814\) | −2.34730 | − | 2.59484i | −0.0822728 | − | 0.0909492i | ||||
\(815\) | −0.0431843 | + | 0.0747975i | −0.00151268 | + | 0.00262004i | ||||
\(816\) | −10.5894 | + | 1.43320i | −0.370702 | + | 0.0501720i | ||||
\(817\) | −14.4147 | − | 24.9670i | −0.504306 | − | 0.873484i | ||||
\(818\) | −11.5951 | + | 35.9690i | −0.405414 | + | 1.25763i | ||||
\(819\) | 11.4711 | − | 15.4207i | 0.400833 | − | 0.538844i | ||||
\(820\) | 0.0854549 | − | 0.0139403i | 0.00298422 | − | 0.000486815i | ||||
\(821\) | −0.0479933 | + | 0.179113i | −0.00167498 | + | 0.00625110i | −0.966758 | − | 0.255692i | \(-0.917697\pi\) |
0.965083 | + | 0.261943i | \(0.0843633\pi\) | |||||||
\(822\) | 0.236005 | + | 10.3189i | 0.00823160 | + | 0.359913i | ||||
\(823\) | 16.8590 | + | 9.73353i | 0.587667 | + | 0.339290i | 0.764174 | − | 0.645010i | \(-0.223147\pi\) |
−0.176508 | + | 0.984299i | \(0.556480\pi\) | |||||||
\(824\) | −0.802836 | − | 7.16019i | −0.0279681 | − | 0.249437i | ||||
\(825\) | 7.14928 | − | 14.7743i | 0.248906 | − | 0.514375i | ||||
\(826\) | −13.1955 | − | 8.52595i | −0.459131 | − | 0.296656i | ||||
\(827\) | 7.70731 | + | 7.70731i | 0.268009 | + | 0.268009i | 0.828298 | − | 0.560288i | \(-0.189310\pi\) |
−0.560288 | + | 0.828298i | \(0.689310\pi\) | |||||||
\(828\) | −1.64917 | − | 36.0347i | −0.0573126 | − | 1.25229i | ||||
\(829\) | −23.8166 | + | 23.8166i | −0.827184 | + | 0.827184i | −0.987126 | − | 0.159942i | \(-0.948869\pi\) |
0.159942 | + | 0.987126i | \(0.448869\pi\) | |||||||
\(830\) | 0.0391327 | + | 0.182034i | 0.00135832 | + | 0.00631848i | ||||
\(831\) | 32.2172 | − | 21.8765i | 1.11760 | − | 0.758886i | ||||
\(832\) | 41.9398 | + | 1.61473i | 1.45400 | + | 0.0559808i | ||||
\(833\) | 4.24837 | − | 7.35839i | 0.147197 | − | 0.254953i | ||||
\(834\) | −9.39365 | + | 38.5641i | −0.325276 | + | 1.33537i | ||||
\(835\) | −0.0823071 | − | 0.0220541i | −0.00284835 | − | 0.000763214i | ||||
\(836\) | −17.7025 | − | 12.7369i | −0.612254 | − | 0.440516i | ||||
\(837\) | 14.0674 | + | 26.9853i | 0.486241 | + | 0.932748i | ||||
\(838\) | −11.5182 | + | 5.90243i | −0.397891 | + | 0.203896i | ||||
\(839\) | −18.6769 | + | 10.7831i | −0.644799 | + | 0.372275i | −0.786461 | − | 0.617640i | \(-0.788089\pi\) |
0.141662 | + | 0.989915i | \(0.454755\pi\) | |||||||
\(840\) | 0.0454721 | + | 0.0530996i | 0.00156893 | + | 0.00183211i | ||||
\(841\) | −16.8674 | − | 9.73839i | −0.581634 | − | 0.335807i | ||||
\(842\) | 42.3099 | + | 2.11925i | 1.45809 | + | 0.0730341i | ||||
\(843\) | −38.8862 | − | 7.43366i | −1.33931 | − | 0.256029i | ||||
\(844\) | −22.8614 | − | 27.9659i | −0.786921 | − | 0.962627i | ||||
\(845\) | 0.120018 | − | 0.120018i | 0.00412873 | − | 0.00412873i | ||||
\(846\) | 8.58996 | + | 7.08407i | 0.295329 | + | 0.243555i | ||||
\(847\) | 9.04599 | 0.310824 | ||||||||
\(848\) | −50.1663 | + | 3.09474i | −1.72272 | + | 0.106274i | ||||
\(849\) | −9.63573 | − | 4.66273i | −0.330697 | − | 0.160024i | ||||
\(850\) | 7.31625 | + | 8.08782i | 0.250945 | + | 0.277410i | ||||
\(851\) | 2.03131 | + | 7.58094i | 0.0696323 | + | 0.259871i | ||||
\(852\) | 14.0538 | − | 47.2712i | 0.481475 | − | 1.61948i | ||||
\(853\) | −10.3419 | + | 38.5967i | −0.354102 | + | 1.32153i | 0.527510 | + | 0.849549i | \(0.323126\pi\) |
−0.881611 | + | 0.471976i | \(0.843541\pi\) | |||||||
\(854\) | −9.88153 | − | 19.2832i | −0.338139 | − | 0.659857i | ||||
\(855\) | −0.187479 | − | 0.0743974i | −0.00641166 | − | 0.00254434i | ||||
\(856\) | 2.10709 | − | 13.9285i | 0.0720190 | − | 0.476067i | ||||
\(857\) | −14.5777 | + | 8.41643i | −0.497964 | + | 0.287500i | −0.727872 | − | 0.685713i | \(-0.759491\pi\) |
0.229908 | + | 0.973212i | \(0.426157\pi\) | |||||||
\(858\) | −11.6926 | + | 21.3659i | −0.399177 | + | 0.729420i | ||||
\(859\) | 20.7346 | − | 5.55582i | 0.707455 | − | 0.189562i | 0.112888 | − | 0.993608i | \(-0.463990\pi\) |
0.594568 | + | 0.804046i | \(0.297323\pi\) | |||||||
\(860\) | −0.0481293 | − | 0.106768i | −0.00164119 | − | 0.00364076i | ||||
\(861\) | 5.92941 | + | 5.12216i | 0.202074 | + | 0.174563i | ||||
\(862\) | −2.09709 | − | 9.75503i | −0.0714272 | − | 0.332258i | ||||
\(863\) | 20.3421 | 0.692455 | 0.346227 | − | 0.938151i | \(-0.387463\pi\) | ||||
0.346227 | + | 0.938151i | \(0.387463\pi\) | |||||||
\(864\) | −25.9060 | + | 13.8881i | −0.881340 | + | 0.472483i | ||||
\(865\) | −0.277527 | −0.00943620 | ||||||||
\(866\) | 3.91014 | + | 18.1888i | 0.132872 | + | 0.618080i | ||||
\(867\) | −19.1640 | − | 16.5550i | −0.650844 | − | 0.562236i | ||||
\(868\) | 5.87807 | + | 13.0397i | 0.199515 | + | 0.442596i | ||||
\(869\) | 0.958848 | − | 0.256922i | 0.0325267 | − | 0.00871550i | ||||
\(870\) | −0.0424069 | + | 0.0774905i | −0.00143773 | + | 0.00262718i | ||||
\(871\) | 55.8806 | − | 32.2627i | 1.89344 | − | 1.09318i | ||||
\(872\) | −12.4319 | − | 1.88069i | −0.420997 | − | 0.0636882i | ||||
\(873\) | −41.3490 | + | 32.7204i | −1.39945 | + | 1.10742i | ||||
\(874\) | 22.3086 | + | 43.5339i | 0.754599 | + | 1.47255i | ||||
\(875\) | 0.0369333 | − | 0.137837i | 0.00124857 | − | 0.00465974i | ||||
\(876\) | −4.26550 | + | 14.3474i | −0.144118 | + | 0.484754i | ||||
\(877\) | 4.98805 | + | 18.6156i | 0.168434 | + | 0.628606i | 0.997577 | + | 0.0695688i | \(0.0221624\pi\) |
−0.829143 | + | 0.559037i | \(0.811171\pi\) | |||||||
\(878\) | 14.1052 | + | 15.5928i | 0.476029 | + | 0.526230i | ||||
\(879\) | −6.08116 | − | 2.94267i | −0.205113 | − | 0.0992539i | ||||
\(880\) | −0.0663833 | − | 0.0586688i | −0.00223778 | − | 0.00197773i | ||||
\(881\) | 37.3378 | 1.25794 | 0.628972 | − | 0.777428i | \(-0.283476\pi\) | ||||
0.628972 | + | 0.777428i | \(0.283476\pi\) | |||||||
\(882\) | 3.86239 | − | 23.0507i | 0.130053 | − | 0.776158i | ||||
\(883\) | −16.7468 | + | 16.7468i | −0.563576 | + | 0.563576i | −0.930321 | − | 0.366745i | \(-0.880472\pi\) |
0.366745 | + | 0.930321i | \(0.380472\pi\) | |||||||
\(884\) | −10.2428 | − | 12.5299i | −0.344504 | − | 0.421426i | ||||
\(885\) | 0.180860 | + | 0.0345740i | 0.00607954 | + | 0.00116219i | ||||
\(886\) | 4.35285 | + | 0.218029i | 0.146237 | + | 0.00732482i | ||||
\(887\) | −36.4841 | − | 21.0641i | −1.22502 | − | 0.707263i | −0.259033 | − | 0.965869i | \(-0.583404\pi\) |
−0.965983 | + | 0.258606i | \(0.916737\pi\) | |||||||
\(888\) | 4.85757 | − | 4.15980i | 0.163009 | − | 0.139594i | ||||
\(889\) | −6.05543 | + | 3.49611i | −0.203093 | + | 0.117256i | ||||
\(890\) | −0.157526 | + | 0.0807228i | −0.00528027 | + | 0.00270583i | ||||
\(891\) | −0.509210 | − | 17.0499i | −0.0170592 | − | 0.571194i | ||||
\(892\) | −9.27866 | − | 6.67598i | −0.310673 | − | 0.223528i | ||||
\(893\) | −14.5844 | − | 3.90788i | −0.488049 | − | 0.130772i | ||||
\(894\) | 2.25946 | − | 9.27586i | 0.0755677 | − | 0.310231i | ||||
\(895\) | −0.0946055 | + | 0.163862i | −0.00316231 | + | 0.00547729i | ||||
\(896\) | −12.5284 | + | 5.82286i | −0.418546 | + | 0.194528i | ||||
\(897\) | 45.1965 | − | 30.6898i | 1.50907 | − | 1.02470i | ||||
\(898\) | −6.49597 | − | 30.2173i | −0.216773 | − | 1.00836i | ||||
\(899\) | −12.7798 | + | 12.7798i | −0.426229 | + | 0.426229i | ||||
\(900\) | 26.6386 | + | 13.7961i | 0.887955 | + | 0.459871i | ||||
\(901\) | 13.7042 | + | 13.7042i | 0.456552 | + | 0.456552i | ||||
\(902\) | −8.34016 | − | 5.38878i | −0.277697 | − | 0.179427i | ||||
\(903\) | 4.61643 | − | 9.54004i | 0.153625 | − | 0.317473i | ||||
\(904\) | −44.4617 | + | 4.98526i | −1.47877 | + | 0.165807i | ||||
\(905\) | 0.0431271 | + | 0.0248994i | 0.00143359 | + | 0.000827685i | ||||
\(906\) | −0.841216 | − | 36.7807i | −0.0279475 | − | 1.22196i | ||||
\(907\) | −0.275009 | + | 1.02635i | −0.00913154 | + | 0.0340794i | −0.970341 | − | 0.241739i | \(-0.922282\pi\) |
0.961210 | + | 0.275818i | \(0.0889489\pi\) | |||||||
\(908\) | −40.2099 | + | 6.55943i | −1.33441 | + | 0.217682i | ||||
\(909\) | −20.7654 | − | 2.41905i | −0.688746 | − | 0.0802347i | ||||
\(910\) | −0.0324847 | + | 0.100770i | −0.00107686 | + | 0.00334050i | ||||
\(911\) | 1.91307 | + | 3.31354i | 0.0633829 | + | 0.109782i | 0.895976 | − | 0.444103i | \(-0.146478\pi\) |
−0.832593 | + | 0.553886i | \(0.813144\pi\) | |||||||
\(912\) | 24.1506 | − | 31.7111i | 0.799707 | − | 1.05006i | ||||
\(913\) | 10.6764 | − | 18.4920i | 0.353336 | − | 0.611996i | ||||
\(914\) | 2.54440 | + | 2.81273i | 0.0841611 | + | 0.0930368i | ||||
\(915\) | 0.192181 | + | 0.166017i | 0.00635330 | + | 0.00548835i | ||||
\(916\) | −5.93980 | + | 4.85562i | −0.196256 | + | 0.160434i | ||||
\(917\) | −5.86616 | − | 5.86616i | −0.193718 | − | 0.193718i | ||||
\(918\) | 10.6278 | + | 3.93861i | 0.350769 | + | 0.129994i | ||||
\(919\) | 5.73779i | 0.189272i | 0.995512 | + | 0.0946361i | \(0.0301688\pi\) | ||||
−0.995512 | + | 0.0946361i | \(0.969831\pi\) | |||||||
\(920\) | 0.0724995 | + | 0.185020i | 0.00239024 | + | 0.00609993i | ||||
\(921\) | 26.4114 | − | 1.92918i | 0.870284 | − | 0.0635687i | ||||
\(922\) | 0.751280 | − | 14.9990i | 0.0247421 | − | 0.493965i | ||||
\(923\) | 72.1438 | − | 19.3309i | 2.37464 | − | 0.636284i | ||||
\(924\) | 0.217880 | − | 8.01428i | 0.00716774 | − | 0.263651i | ||||
\(925\) | −6.30460 | − | 1.68931i | −0.207294 | − | 0.0555442i | ||||
\(926\) | 31.8328 | + | 10.2618i | 1.04609 | + | 0.337222i | ||||
\(927\) | −2.81879 | + | 7.10327i | −0.0925813 | + | 0.233302i | ||||
\(928\) | −12.4858 | − | 12.2003i | −0.409867 | − | 0.400495i | ||||
\(929\) | −20.2911 | − | 35.1451i | −0.665728 | − | 1.15307i | −0.979087 | − | 0.203440i | \(-0.934788\pi\) |
0.313359 | − | 0.949635i | \(-0.398546\pi\) | |||||||
\(930\) | −0.121222 | − | 0.115801i | −0.00397503 | − | 0.00379727i | ||||
\(931\) | 8.20310 | + | 30.6144i | 0.268846 | + | 1.00335i | ||||
\(932\) | −4.38117 | − | 9.71901i | −0.143510 | − | 0.318357i | ||||
\(933\) | −12.8359 | − | 36.9060i | −0.420228 | − | 1.20825i | ||||
\(934\) | 3.73835 | + | 2.41544i | 0.122323 | + | 0.0790355i | ||||
\(935\) | 0.0341611i | 0.00111719i | ||||||||
\(936\) | −38.4563 | − | 22.4244i | −1.25698 | − | 0.732966i | ||||
\(937\) | − | 27.9974i | − | 0.914635i | −0.889304 | − | 0.457317i | \(-0.848810\pi\) | ||
0.889304 | − | 0.457317i | \(-0.151190\pi\) | |||||||
\(938\) | −11.5267 | + | 17.8398i | −0.376362 | + | 0.582491i | ||||
\(939\) | 10.1607 | + | 1.94235i | 0.331581 | + | 0.0633863i | ||||
\(940\) | −0.0573640 | − | 0.0217160i | −0.00187101 | − | 0.000708299i | ||||
\(941\) | 9.68215 | + | 36.1343i | 0.315629 | + | 1.17794i | 0.923402 | + | 0.383833i | \(0.125396\pi\) |
−0.607773 | + | 0.794111i | \(0.707937\pi\) | |||||||
\(942\) | −23.3398 | − | 5.68524i | −0.760453 | − | 0.185235i | ||||
\(943\) | 11.1362 | + | 19.2885i | 0.362645 | + | 0.628119i | ||||
\(944\) | −16.2195 | + | 32.5742i | −0.527901 | + | 1.06020i | ||||
\(945\) | −0.0160906 | − | 0.0723828i | −0.000523429 | − | 0.00235461i | ||||
\(946\) | −4.12081 | + | 12.7831i | −0.133979 | + | 0.415613i | ||||
\(947\) | 18.3948 | + | 4.92887i | 0.597751 | + | 0.160167i | 0.544993 | − | 0.838441i | \(-0.316532\pi\) |
0.0527575 | + | 0.998607i | \(0.483199\pi\) | |||||||
\(948\) | 0.421789 | + | 1.76465i | 0.0136991 | + | 0.0573131i | ||||
\(949\) | −21.8966 | + | 5.86717i | −0.710793 | + | 0.190456i | ||||
\(950\) | −40.6303 | − | 2.03512i | −1.31822 | − | 0.0660280i | ||||
\(951\) | −18.1109 | − | 26.6717i | −0.587285 | − | 0.864888i | ||||
\(952\) | 4.88154 | + | 2.13294i | 0.158212 | + | 0.0691289i | ||||
\(953\) | 2.49861i | 0.0809380i | 0.999181 | + | 0.0404690i | \(0.0128852\pi\) | ||||
−0.999181 | + | 0.0404690i | \(0.987115\pi\) | |||||||
\(954\) | 48.5058 | + | 22.1178i | 1.57043 | + | 0.716090i | ||||
\(955\) | 0.0373008 | + | 0.0373008i | 0.00120703 | + | 0.00120703i | ||||
\(956\) | 5.53114 | − | 55.0748i | 0.178890 | − | 1.78125i | ||||
\(957\) | 9.56820 | − | 3.32782i | 0.309296 | − | 0.107573i | ||||
\(958\) | 13.0865 | − | 11.8381i | 0.422807 | − | 0.382471i | ||||
\(959\) | 2.57277 | − | 4.45617i | 0.0830792 | − | 0.143897i | ||||
\(960\) | 0.110490 | − | 0.118373i | 0.00356604 | − | 0.00382047i | ||||
\(961\) | −1.64996 | − | 2.85782i | −0.0532246 | − | 0.0921877i | ||||
\(962\) | 9.21848 | + | 2.97171i | 0.297216 | + | 0.0958118i | ||||
\(963\) | −8.91785 | + | 11.9884i | −0.287374 | + | 0.386319i | ||||
\(964\) | −2.75079 | − | 1.97919i | −0.0885970 | − | 0.0637454i | ||||
\(965\) | 0.0106340 | − | 0.0396865i | 0.000342319 | − | 0.00127755i | ||||
\(966\) | −8.63302 | + | 15.7752i | −0.277763 | + | 0.507558i | ||||
\(967\) | 3.08638 | + | 1.78192i | 0.0992513 | + | 0.0573028i | 0.548804 | − | 0.835951i | \(-0.315083\pi\) |
−0.449553 | + | 0.893254i | \(0.648417\pi\) | |||||||
\(968\) | −2.33469 | − | 20.8222i | −0.0750399 | − | 0.669252i | ||||
\(969\) | −15.3291 | + | 1.11969i | −0.492442 | + | 0.0359698i | ||||
\(970\) | 0.157641 | − | 0.243980i | 0.00506155 | − | 0.00783372i | ||||
\(971\) | −0.578866 | − | 0.578866i | −0.0185767 | − | 0.0185767i | 0.697757 | − | 0.716334i | \(-0.254181\pi\) |
−0.716334 | + | 0.697757i | \(0.754181\pi\) | |||||||
\(972\) | 31.1768 | − | 0.0834640i | 0.999996 | − | 0.00267711i | ||||
\(973\) | 13.9917 | − | 13.9917i | 0.448553 | − | 0.448553i | ||||
\(974\) | −17.3263 | + | 3.72472i | −0.555170 | + | 0.119348i | ||||
\(975\) | 3.30981 | + | 45.3128i | 0.105999 | + | 1.45117i | ||||
\(976\) | −41.8361 | + | 27.7223i | −1.33914 | + | 0.887370i | ||||
\(977\) | 10.3841 | − | 17.9859i | 0.332218 | − | 0.575418i | −0.650728 | − | 0.759310i | \(-0.725536\pi\) |
0.982946 | + | 0.183892i | \(0.0588697\pi\) | |||||||
\(978\) | 5.08417 | + | 17.3750i | 0.162574 | + | 0.555592i | ||||
\(979\) | 19.6074 | + | 5.25377i | 0.626654 | + | 0.167911i | ||||
\(980\) | 0.0207295 | + | 0.127073i | 0.000662179 | + | 0.00405921i | ||||
\(981\) | 10.7002 | + | 7.95963i | 0.341632 | + | 0.254132i | ||||
\(982\) | 9.80845 | + | 19.1406i | 0.313000 | + | 0.610801i | ||||
\(983\) | −9.13353 | + | 5.27325i | −0.291314 | + | 0.168190i | −0.638534 | − | 0.769593i | \(-0.720459\pi\) |
0.347220 | + | 0.937784i | \(0.387126\pi\) | |||||||
\(984\) | 10.2600 | − | 14.9704i | 0.327076 | − | 0.477239i | ||||
\(985\) | 0.0689747 | + | 0.0398225i | 0.00219772 | + | 0.00126885i | ||||
\(986\) | −0.336740 | + | 6.72286i | −0.0107240 | + | 0.214100i | ||||
\(987\) | −1.82339 | − | 5.24264i | −0.0580391 | − | 0.166875i | ||||
\(988\) | 60.0661 | + | 6.03240i | 1.91096 | + | 0.191916i | ||||
\(989\) | 21.3022 | − | 21.3022i | 0.677369 | − | 0.677369i | ||||
\(990\) | 0.0328894 | + | 0.0880236i | 0.00104529 | + | 0.00279757i | ||||
\(991\) | −24.1374 | −0.766749 | −0.383374 | − | 0.923593i | \(-0.625238\pi\) | ||||
−0.383374 | + | 0.923593i | \(0.625238\pi\) | |||||||
\(992\) | 28.4979 | − | 16.8957i | 0.904811 | − | 0.536439i | ||||
\(993\) | 15.1120 | − | 10.2615i | 0.479565 | − | 0.325639i | ||||
\(994\) | −18.2323 | + | 16.4929i | −0.578292 | + | 0.523124i | ||||
\(995\) | −0.0141042 | − | 0.0526377i | −0.000447134 | − | 0.00166873i | ||||
\(996\) | 33.2560 | + | 20.4251i | 1.05376 | + | 0.647193i | ||||
\(997\) | 6.02848 | − | 22.4986i | 0.190924 | − | 0.712538i | −0.802361 | − | 0.596840i | \(-0.796423\pi\) |
0.993284 | − | 0.115698i | \(-0.0369105\pi\) | |||||||
\(998\) | 38.3466 | − | 19.6504i | 1.21384 | − | 0.622023i | ||||
\(999\) | −6.62161 | + | 1.47198i | −0.209498 | + | 0.0465713i |
(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.85.12 | yes | 72 | |
3.2 | odd | 2 | 432.2.y.e.37.7 | 72 | |||
4.3 | odd | 2 | 576.2.bb.e.49.4 | 72 | |||
9.2 | odd | 6 | 432.2.y.e.181.6 | 72 | |||
9.7 | even | 3 | inner | 144.2.x.e.133.13 | yes | 72 | |
12.11 | even | 2 | 1728.2.bc.e.1009.9 | 72 | |||
16.3 | odd | 4 | 576.2.bb.e.337.14 | 72 | |||
16.13 | even | 4 | inner | 144.2.x.e.13.13 | ✓ | 72 | |
36.7 | odd | 6 | 576.2.bb.e.241.14 | 72 | |||
36.11 | even | 6 | 1728.2.bc.e.1585.10 | 72 | |||
48.29 | odd | 4 | 432.2.y.e.253.6 | 72 | |||
48.35 | even | 4 | 1728.2.bc.e.145.10 | 72 | |||
144.29 | odd | 12 | 432.2.y.e.397.7 | 72 | |||
144.61 | even | 12 | inner | 144.2.x.e.61.12 | yes | 72 | |
144.83 | even | 12 | 1728.2.bc.e.721.9 | 72 | |||
144.115 | odd | 12 | 576.2.bb.e.529.4 | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.x.e.13.13 | ✓ | 72 | 16.13 | even | 4 | inner | |
144.2.x.e.61.12 | yes | 72 | 144.61 | even | 12 | inner | |
144.2.x.e.85.12 | yes | 72 | 1.1 | even | 1 | trivial | |
144.2.x.e.133.13 | yes | 72 | 9.7 | even | 3 | inner | |
432.2.y.e.37.7 | 72 | 3.2 | odd | 2 | |||
432.2.y.e.181.6 | 72 | 9.2 | odd | 6 | |||
432.2.y.e.253.6 | 72 | 48.29 | odd | 4 | |||
432.2.y.e.397.7 | 72 | 144.29 | odd | 12 | |||
576.2.bb.e.49.4 | 72 | 4.3 | odd | 2 | |||
576.2.bb.e.241.14 | 72 | 36.7 | odd | 6 | |||
576.2.bb.e.337.14 | 72 | 16.3 | odd | 4 | |||
576.2.bb.e.529.4 | 72 | 144.115 | odd | 12 | |||
1728.2.bc.e.145.10 | 72 | 48.35 | even | 4 | |||
1728.2.bc.e.721.9 | 72 | 144.83 | even | 12 | |||
1728.2.bc.e.1009.9 | 72 | 12.11 | even | 2 | |||
1728.2.bc.e.1585.10 | 72 | 36.11 | even | 6 |