Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1638,2,Mod(289,1638)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1638, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1638.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1638 = 2 \cdot 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1638.m (of order \(3\), degree \(2\), 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: | \(13.0794958511\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 8.0.447703281.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} - 2x^{6} + 2x^{5} + 3x^{4} + 4x^{3} - 8x^{2} - 8x + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 546) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 289.1 | ||
Root | \(-1.38232 - 0.298668i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1638.289 |
Dual form | 1638.2.m.h.1621.1 |
$q$-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 \(\left(\mathbb{Z}/1638\mathbb{Z}\right)^\times\).
\(n\) | \(379\) | \(703\) | \(911\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | −0.707107 | ||||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | −1.75410 | + | 3.03819i | −0.784457 | + | 1.35872i | 0.144866 | + | 0.989451i | \(0.453725\pi\) |
−0.929323 | + | 0.369268i | \(0.879609\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.63641 | + | 0.222079i | −0.996471 | + | 0.0839380i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.75410 | − | 3.03819i | 0.554695 | − | 0.960759i | ||||
\(11\) | −3.20391 | + | 5.54934i | −0.966015 | + | 1.67319i | −0.259154 | + | 0.965836i | \(0.583444\pi\) |
−0.706862 | + | 0.707352i | \(0.749890\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.213022 | + | 3.59925i | −0.0590817 | + | 0.998253i | ||||
\(14\) | 2.63641 | − | 0.222079i | 0.704611 | − | 0.0593532i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −4.67781 | −1.13453 | −0.567267 | − | 0.823534i | \(-0.691999\pi\) | ||||
−0.567267 | + | 0.823534i | \(0.691999\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.61911 | − | 4.53642i | −0.600864 | − | 1.04073i | −0.992690 | − | 0.120688i | \(-0.961490\pi\) |
0.391826 | − | 0.920039i | \(-0.371843\pi\) | |||||||
\(20\) | −1.75410 | + | 3.03819i | −0.392228 | + | 0.679359i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.20391 | − | 5.54934i | 0.683076 | − | 1.18312i | ||||
\(23\) | 2.16961 | 0.452395 | 0.226197 | − | 0.974081i | \(-0.427371\pi\) | ||||
0.226197 | + | 0.974081i | \(0.427371\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.65372 | − | 6.32843i | −0.730745 | − | 1.26569i | ||||
\(26\) | 0.213022 | − | 3.59925i | 0.0417771 | − | 0.705872i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.63641 | + | 0.222079i | −0.498235 | + | 0.0419690i | ||||
\(29\) | 1.23033 | + | 2.13099i | 0.228467 | + | 0.395716i | 0.957354 | − | 0.288918i | \(-0.0932955\pi\) |
−0.728887 | + | 0.684634i | \(0.759962\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.46035 | + | 7.72555i | 0.801102 | + | 1.38755i | 0.918892 | + | 0.394510i | \(0.129086\pi\) |
−0.117790 | + | 0.993039i | \(0.537581\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.67781 | 0.802237 | ||||||||
\(35\) | 3.94981 | − | 8.39947i | 0.667640 | − | 1.41977i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.89962 | 0.641094 | 0.320547 | − | 0.947233i | \(-0.396133\pi\) | ||||
0.320547 | + | 0.947233i | \(0.396133\pi\) | |||||||
\(38\) | 2.61911 | + | 4.53642i | 0.424875 | + | 0.735905i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.75410 | − | 3.03819i | 0.277347 | − | 0.480380i | ||||
\(41\) | −5.09300 | − | 8.82134i | −0.795393 | − | 1.37766i | −0.922589 | − | 0.385784i | \(-0.873931\pi\) |
0.127196 | − | 0.991878i | \(-0.459402\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.19338 | + | 2.06699i | −0.181988 | + | 0.315213i | −0.942558 | − | 0.334044i | \(-0.891587\pi\) |
0.760569 | + | 0.649257i | \(0.224920\pi\) | |||||||
\(44\) | −3.20391 | + | 5.54934i | −0.483008 | + | 0.836594i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.16961 | −0.319891 | ||||||||
\(47\) | 2.44070 | − | 4.22742i | 0.356013 | − | 0.616632i | −0.631278 | − | 0.775557i | \(-0.717469\pi\) |
0.987291 | + | 0.158924i | \(0.0508026\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.90136 | − | 1.17099i | 0.985909 | − | 0.167284i | ||||
\(50\) | 3.65372 | + | 6.32843i | 0.516714 | + | 0.894976i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.213022 | + | 3.59925i | −0.0295409 | + | 0.499127i | ||||
\(53\) | 1.05395 | + | 1.82549i | 0.144771 | + | 0.250750i | 0.929287 | − | 0.369358i | \(-0.120422\pi\) |
−0.784517 | + | 0.620108i | \(0.787089\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −11.2399 | − | 19.4682i | −1.51559 | − | 2.62509i | ||||
\(56\) | 2.63641 | − | 0.222079i | 0.352306 | − | 0.0296766i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.23033 | − | 2.13099i | −0.161550 | − | 0.279813i | ||||
\(59\) | 11.7946 | 1.53552 | 0.767761 | − | 0.640736i | \(-0.221371\pi\) | ||||
0.767761 | + | 0.640736i | \(0.221371\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.67781 | − | 8.10220i | −0.598932 | − | 1.03738i | −0.992979 | − | 0.118290i | \(-0.962259\pi\) |
0.394047 | − | 0.919090i | \(-0.371075\pi\) | |||||||
\(62\) | −4.46035 | − | 7.72555i | −0.566464 | − | 0.981145i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −10.5615 | − | 6.96065i | −1.31000 | − | 0.863362i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.64461 | + | 6.31265i | −0.445260 | + | 0.771213i | −0.998070 | − | 0.0620940i | \(-0.980222\pi\) |
0.552810 | + | 0.833307i | \(0.313555\pi\) | |||||||
\(68\) | −4.67781 | −0.567267 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −3.94981 | + | 8.39947i | −0.472093 | + | 1.00393i | ||||
\(71\) | −2.79339 | + | 4.83829i | −0.331514 | + | 0.574199i | −0.982809 | − | 0.184625i | \(-0.940893\pi\) |
0.651295 | + | 0.758825i | \(0.274226\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.23175 | + | 7.32961i | 0.495289 | + | 0.857866i | 0.999985 | − | 0.00543110i | \(-0.00172878\pi\) |
−0.504696 | + | 0.863297i | \(0.668395\pi\) | |||||||
\(74\) | −3.89962 | −0.453322 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.61911 | − | 4.53642i | −0.300432 | − | 0.520364i | ||||
\(77\) | 7.21444 | − | 15.3419i | 0.822162 | − | 1.74837i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.893764 | − | 1.54804i | 0.100556 | − | 0.174169i | −0.811358 | − | 0.584550i | \(-0.801271\pi\) |
0.911914 | + | 0.410381i | \(0.134604\pi\) | |||||||
\(80\) | −1.75410 | + | 3.03819i | −0.196114 | + | 0.339680i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 5.09300 | + | 8.82134i | 0.562428 | + | 0.974154i | ||||
\(83\) | 2.59218 | 0.284529 | 0.142264 | − | 0.989829i | \(-0.454562\pi\) | ||||
0.142264 | + | 0.989829i | \(0.454562\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 8.20533 | − | 14.2121i | 0.889993 | − | 1.54151i | ||||
\(86\) | 1.19338 | − | 2.06699i | 0.128685 | − | 0.222889i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.20391 | − | 5.54934i | 0.341538 | − | 0.591561i | ||||
\(89\) | −7.00752 | −0.742795 | −0.371398 | − | 0.928474i | \(-0.621121\pi\) | ||||
−0.371398 | + | 0.928474i | \(0.621121\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.237705 | − | 9.53643i | −0.0249182 | − | 0.999689i | ||||
\(92\) | 2.16961 | 0.226197 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.44070 | + | 4.22742i | −0.251739 | + | 0.436025i | ||||
\(95\) | 18.3767 | 1.88541 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.92513 | + | 8.53057i | −0.500071 | + | 0.866149i | 0.499929 | + | 0.866066i | \(0.333359\pi\) |
−1.00000 | 8.21569e-5i | \(0.999974\pi\) | ||||||||
\(98\) | −6.90136 | + | 1.17099i | −0.697143 | + | 0.118287i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.65372 | − | 6.32843i | −0.365372 | − | 0.632843i | ||||
\(101\) | 6.91016 | − | 11.9687i | 0.687586 | − | 1.19093i | −0.285030 | − | 0.958519i | \(-0.592004\pi\) |
0.972616 | − | 0.232416i | \(-0.0746631\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −6.56658 | + | 11.3737i | −0.647025 | + | 1.12068i | 0.336805 | + | 0.941574i | \(0.390654\pi\) |
−0.983830 | + | 0.179105i | \(0.942680\pi\) | |||||||
\(104\) | 0.213022 | − | 3.59925i | 0.0208885 | − | 0.352936i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.05395 | − | 1.82549i | −0.102368 | − | 0.177307i | ||||
\(107\) | 9.76463 | 0.943983 | 0.471991 | − | 0.881603i | \(-0.343535\pi\) | ||||
0.471991 | + | 0.881603i | \(0.343535\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.14786 | + | 1.98816i | 0.109945 | + | 0.190431i | 0.915748 | − | 0.401753i | \(-0.131599\pi\) |
−0.805803 | + | 0.592184i | \(0.798266\pi\) | |||||||
\(110\) | 11.2399 | + | 19.4682i | 1.07169 | + | 1.85622i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.63641 | + | 0.222079i | −0.249118 | + | 0.0209845i | ||||
\(113\) | −1.96268 | + | 3.39947i | −0.184634 | + | 0.319795i | −0.943453 | − | 0.331506i | \(-0.892443\pi\) |
0.758819 | + | 0.651301i | \(0.225777\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.80571 | + | 6.59168i | −0.354884 | + | 0.614677i | ||||
\(116\) | 1.23033 | + | 2.13099i | 0.114233 | + | 0.197858i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −11.7946 | −1.08578 | ||||||||
\(119\) | 12.3326 | − | 1.03884i | 1.13053 | − | 0.0952306i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −15.0301 | − | 26.0329i | −1.36637 | − | 2.36662i | ||||
\(122\) | 4.67781 | + | 8.10220i | 0.423509 | + | 0.733539i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 4.46035 | + | 7.72555i | 0.400551 | + | 0.693774i | ||||
\(125\) | 8.09497 | 0.724036 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 3.51196 | + | 6.08289i | 0.311636 | + | 0.539769i | 0.978717 | − | 0.205216i | \(-0.0657898\pi\) |
−0.667081 | + | 0.744985i | \(0.732457\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 10.5615 | + | 6.96065i | 0.926309 | + | 0.610489i | ||||
\(131\) | 4.56251 | − | 7.90250i | 0.398628 | − | 0.690444i | −0.594929 | − | 0.803778i | \(-0.702820\pi\) |
0.993557 | + | 0.113334i | \(0.0361531\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 7.91249 | + | 11.3782i | 0.686100 | + | 0.986619i | ||||
\(134\) | 3.64461 | − | 6.31265i | 0.314846 | − | 0.545330i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 4.67781 | 0.401119 | ||||||||
\(137\) | −15.0674 | −1.28730 | −0.643648 | − | 0.765322i | \(-0.722580\pi\) | ||||
−0.643648 | + | 0.765322i | \(0.722580\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 7.02519 | − | 12.1680i | 0.595869 | − | 1.03208i | −0.397555 | − | 0.917578i | \(-0.630141\pi\) |
0.993424 | − | 0.114497i | \(-0.0365255\pi\) | |||||||
\(140\) | 3.94981 | − | 8.39947i | 0.333820 | − | 0.709885i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.79339 | − | 4.83829i | 0.234416 | − | 0.406020i | ||||
\(143\) | −19.2910 | − | 12.7138i | −1.61319 | − | 1.06318i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −8.63248 | −0.716889 | ||||||||
\(146\) | −4.23175 | − | 7.32961i | −0.350222 | − | 0.606603i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 3.89962 | 0.320547 | ||||||||
\(149\) | 0.614668 | + | 1.06464i | 0.0503555 | + | 0.0872183i | 0.890104 | − | 0.455757i | \(-0.150631\pi\) |
−0.839749 | + | 0.542975i | \(0.817298\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8.17245 | + | 14.1551i | 0.665065 | + | 1.15193i | 0.979268 | + | 0.202570i | \(0.0649294\pi\) |
−0.314203 | + | 0.949356i | \(0.601737\pi\) | |||||||
\(152\) | 2.61911 | + | 4.53642i | 0.212438 | + | 0.367953i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −7.21444 | + | 15.3419i | −0.581356 | + | 1.23628i | ||||
\(155\) | −31.2955 | −2.51372 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −7.98494 | − | 13.8303i | −0.637267 | − | 1.10378i | −0.986030 | − | 0.166568i | \(-0.946731\pi\) |
0.348763 | − | 0.937211i | \(-0.386602\pi\) | |||||||
\(158\) | −0.893764 | + | 1.54804i | −0.0711040 | + | 0.123156i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.75410 | − | 3.03819i | 0.138674 | − | 0.240190i | ||||
\(161\) | −5.71999 | + | 0.481825i | −0.450798 | + | 0.0379731i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.89316 | − | 6.74316i | −0.304936 | − | 0.528165i | 0.672311 | − | 0.740269i | \(-0.265302\pi\) |
−0.977247 | + | 0.212104i | \(0.931968\pi\) | |||||||
\(164\) | −5.09300 | − | 8.82134i | −0.397697 | − | 0.688831i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.59218 | −0.201192 | ||||||||
\(167\) | −3.32333 | − | 5.75618i | −0.257167 | − | 0.445427i | 0.708315 | − | 0.705897i | \(-0.249456\pi\) |
−0.965482 | + | 0.260470i | \(0.916122\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.9092 | − | 1.53344i | −0.993019 | − | 0.117957i | ||||
\(170\) | −8.20533 | + | 14.2121i | −0.629320 | + | 1.09001i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.19338 | + | 2.06699i | −0.0909942 | + | 0.157607i | ||||
\(173\) | −7.30337 | − | 12.6498i | −0.555265 | − | 0.961747i | −0.997883 | − | 0.0650369i | \(-0.979283\pi\) |
0.442618 | − | 0.896710i | \(-0.354050\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 11.0381 | + | 15.8730i | 0.834405 | + | 1.19988i | ||||
\(176\) | −3.20391 | + | 5.54934i | −0.241504 | + | 0.418297i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 7.00752 | 0.525236 | ||||||||
\(179\) | −7.06425 | + | 12.2356i | −0.528006 | + | 0.914534i | 0.471460 | + | 0.881887i | \(0.343727\pi\) |
−0.999467 | + | 0.0326468i | \(0.989606\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −13.6453 | −1.01425 | −0.507124 | − | 0.861873i | \(-0.669291\pi\) | ||||
−0.507124 | + | 0.861873i | \(0.669291\pi\) | |||||||
\(182\) | 0.237705 | + | 9.53643i | 0.0176198 | + | 0.706887i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −2.16961 | −0.159946 | ||||||||
\(185\) | −6.84033 | + | 11.8478i | −0.502911 | + | 0.871067i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 14.9873 | − | 25.9587i | 1.09598 | − | 1.89829i | ||||
\(188\) | 2.44070 | − | 4.22742i | 0.178006 | − | 0.308316i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −18.3767 | −1.33318 | ||||||||
\(191\) | −1.21572 | − | 2.10569i | −0.0879666 | − | 0.152363i | 0.818685 | − | 0.574243i | \(-0.194704\pi\) |
−0.906652 | + | 0.421880i | \(0.861370\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.75877 | + | 3.04628i | −0.126599 | + | 0.219276i | −0.922357 | − | 0.386339i | \(-0.873740\pi\) |
0.795758 | + | 0.605615i | \(0.207073\pi\) | |||||||
\(194\) | 4.92513 | − | 8.53057i | 0.353604 | − | 0.612460i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 6.90136 | − | 1.17099i | 0.492954 | − | 0.0836418i | ||||
\(197\) | −1.15702 | − | 2.00402i | −0.0824345 | − | 0.142781i | 0.821861 | − | 0.569689i | \(-0.192936\pi\) |
−0.904295 | + | 0.426908i | \(0.859603\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.69467 | 0.403684 | 0.201842 | − | 0.979418i | \(-0.435307\pi\) | ||||
0.201842 | + | 0.979418i | \(0.435307\pi\) | |||||||
\(200\) | 3.65372 | + | 6.32843i | 0.258357 | + | 0.447488i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −6.91016 | + | 11.9687i | −0.486197 | + | 0.842118i | ||||
\(203\) | −3.71691 | − | 5.34495i | −0.260876 | − | 0.375142i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 35.7345 | 2.49581 | ||||||||
\(206\) | 6.56658 | − | 11.3737i | 0.457515 | − | 0.792440i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.213022 | + | 3.59925i | −0.0147704 | + | 0.249563i | ||||
\(209\) | 33.5655 | 2.32178 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.291966 | + | 0.505700i | 0.0200998 | + | 0.0348139i | 0.875900 | − | 0.482492i | \(-0.160268\pi\) |
−0.855801 | + | 0.517306i | \(0.826935\pi\) | |||||||
\(212\) | 1.05395 | + | 1.82549i | 0.0723853 | + | 0.125375i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −9.76463 | −0.667496 | ||||||||
\(215\) | −4.18660 | − | 7.25141i | −0.285524 | − | 0.494542i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −13.4750 | − | 19.3772i | −0.914743 | − | 1.31541i | ||||
\(218\) | −1.14786 | − | 1.98816i | −0.0777430 | − | 0.134655i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −11.2399 | − | 19.4682i | −0.757797 | − | 1.31254i | ||||
\(221\) | 0.996476 | − | 16.8366i | 0.0670302 | − | 1.13255i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −7.25749 | − | 12.5703i | −0.485998 | − | 0.841773i | 0.513873 | − | 0.857866i | \(-0.328210\pi\) |
−0.999870 | + | 0.0160938i | \(0.994877\pi\) | |||||||
\(224\) | 2.63641 | − | 0.222079i | 0.176153 | − | 0.0148383i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.96268 | − | 3.39947i | 0.130556 | − | 0.226129i | ||||
\(227\) | −20.2464 | −1.34380 | −0.671899 | − | 0.740643i | \(-0.734521\pi\) | ||||
−0.671899 | + | 0.740643i | \(0.734521\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.668929 | + | 1.15862i | −0.0442041 | + | 0.0765637i | −0.887281 | − | 0.461229i | \(-0.847409\pi\) |
0.843077 | + | 0.537793i | \(0.180742\pi\) | |||||||
\(230\) | 3.80571 | − | 6.59168i | 0.250941 | − | 0.434643i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.23033 | − | 2.13099i | −0.0807752 | − | 0.139907i | ||||
\(233\) | −6.97568 | + | 12.0822i | −0.456992 | + | 0.791534i | −0.998800 | − | 0.0489686i | \(-0.984407\pi\) |
0.541808 | + | 0.840502i | \(0.317740\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 8.56246 | + | 14.8306i | 0.558553 | + | 0.967443i | ||||
\(236\) | 11.7946 | 0.767761 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −12.3326 | + | 1.03884i | −0.799406 | + | 0.0673382i | ||||
\(239\) | −9.05495 | −0.585716 | −0.292858 | − | 0.956156i | \(-0.594606\pi\) | ||||
−0.292858 | + | 0.956156i | \(0.594606\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 20.1102 | 1.29541 | 0.647705 | − | 0.761891i | \(-0.275729\pi\) | ||||
0.647705 | + | 0.761891i | \(0.275729\pi\) | |||||||
\(242\) | 15.0301 | + | 26.0329i | 0.966171 | + | 1.67346i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −4.67781 | − | 8.10220i | −0.299466 | − | 0.518690i | ||||
\(245\) | −8.54799 | + | 23.0217i | −0.546111 | + | 1.47080i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 16.8857 | − | 8.46047i | 1.07441 | − | 0.538327i | ||||
\(248\) | −4.46035 | − | 7.72555i | −0.283232 | − | 0.490573i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −8.09497 | −0.511971 | ||||||||
\(251\) | −4.09035 | + | 7.08469i | −0.258181 | + | 0.447182i | −0.965755 | − | 0.259457i | \(-0.916456\pi\) |
0.707574 | + | 0.706639i | \(0.249790\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −6.95123 | + | 12.0399i | −0.437020 | + | 0.756941i | ||||
\(254\) | −3.51196 | − | 6.08289i | −0.220360 | − | 0.381674i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −9.75393 | −0.608433 | −0.304217 | − | 0.952603i | \(-0.598395\pi\) | ||||
−0.304217 | + | 0.952603i | \(0.598395\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −10.2810 | + | 0.866025i | −0.638832 | + | 0.0538122i | ||||
\(260\) | −10.5615 | − | 6.96065i | −0.654999 | − | 0.431681i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −4.56251 | + | 7.90250i | −0.281873 | + | 0.488218i | ||||
\(263\) | −1.47358 | + | 2.55232i | −0.0908648 | + | 0.157383i | −0.907875 | − | 0.419240i | \(-0.862296\pi\) |
0.817010 | + | 0.576623i | \(0.195630\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −7.39490 | −0.454265 | ||||||||
\(266\) | −7.91249 | − | 11.3782i | −0.485146 | − | 0.697645i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −3.64461 | + | 6.31265i | −0.222630 | + | 0.385607i | ||||
\(269\) | 23.9353 | 1.45936 | 0.729679 | − | 0.683790i | \(-0.239669\pi\) | ||||
0.729679 | + | 0.683790i | \(0.239669\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 19.3667 | 1.17644 | 0.588222 | − | 0.808700i | \(-0.299828\pi\) | ||||
0.588222 | + | 0.808700i | \(0.299828\pi\) | |||||||
\(272\) | −4.67781 | −0.283634 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 15.0674 | 0.910255 | ||||||||
\(275\) | 46.8248 | 2.82364 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.43419 | 0.146256 | 0.0731282 | − | 0.997323i | \(-0.476702\pi\) | ||||
0.0731282 | + | 0.997323i | \(0.476702\pi\) | |||||||
\(278\) | −7.02519 | + | 12.1680i | −0.421343 | + | 0.729787i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −3.94981 | + | 8.39947i | −0.236046 | + | 0.501964i | ||||
\(281\) | 2.80329 | 0.167230 | 0.0836152 | − | 0.996498i | \(-0.473353\pi\) | ||||
0.0836152 | + | 0.996498i | \(0.473353\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 8.47705 | − | 14.6827i | 0.503909 | − | 0.872795i | −0.496081 | − | 0.868276i | \(-0.665228\pi\) |
0.999990 | − | 0.00451916i | \(-0.00143850\pi\) | |||||||
\(284\) | −2.79339 | + | 4.83829i | −0.165757 | + | 0.287100i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 19.2910 | + | 12.7138i | 1.14070 | + | 0.751784i | ||||
\(287\) | 15.3863 | + | 22.1257i | 0.908224 | + | 1.30604i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.88187 | 0.287169 | ||||||||
\(290\) | 8.63248 | 0.506917 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 4.23175 | + | 7.32961i | 0.247645 | + | 0.428933i | ||||
\(293\) | −2.84568 | + | 4.92886i | −0.166246 | + | 0.287947i | −0.937097 | − | 0.349069i | \(-0.886498\pi\) |
0.770851 | + | 0.637016i | \(0.219831\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −20.6888 | + | 35.8341i | −1.20455 | + | 2.08634i | ||||
\(296\) | −3.89962 | −0.226661 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.614668 | − | 1.06464i | −0.0356067 | − | 0.0616727i | ||||
\(299\) | −0.462175 | + | 7.80897i | −0.0267283 | + | 0.451605i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.68720 | − | 5.71447i | 0.154888 | − | 0.329376i | ||||
\(302\) | −8.17245 | − | 14.1551i | −0.470272 | − | 0.814535i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.61911 | − | 4.53642i | −0.150216 | − | 0.260182i | ||||
\(305\) | 32.8213 | 1.87934 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3.48603 | 0.198958 | 0.0994791 | − | 0.995040i | \(-0.468282\pi\) | ||||
0.0994791 | + | 0.995040i | \(0.468282\pi\) | |||||||
\(308\) | 7.21444 | − | 15.3419i | 0.411081 | − | 0.874184i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 31.2955 | 1.77747 | ||||||||
\(311\) | −12.0016 | − | 20.7873i | −0.680546 | − | 1.17874i | −0.974814 | − | 0.223018i | \(-0.928409\pi\) |
0.294268 | − | 0.955723i | \(-0.404924\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −8.77758 | + | 15.2032i | −0.496138 | + | 0.859337i | −0.999990 | − | 0.00445337i | \(-0.998582\pi\) |
0.503852 | + | 0.863790i | \(0.331916\pi\) | |||||||
\(314\) | 7.98494 | + | 13.8303i | 0.450616 | + | 0.780490i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.893764 | − | 1.54804i | 0.0502781 | − | 0.0870843i | ||||
\(317\) | 1.42018 | − | 2.45983i | 0.0797655 | − | 0.138158i | −0.823383 | − | 0.567486i | \(-0.807916\pi\) |
0.903149 | + | 0.429328i | \(0.141250\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −15.7675 | −0.882809 | ||||||||
\(320\) | −1.75410 | + | 3.03819i | −0.0980571 | + | 0.169840i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 5.71999 | − | 0.481825i | 0.318763 | − | 0.0268511i | ||||
\(323\) | 12.2517 | + | 21.2205i | 0.681701 | + | 1.18074i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 23.5560 | − | 11.8026i | 1.30665 | − | 0.654689i | ||||
\(326\) | 3.89316 | + | 6.74316i | 0.215622 | + | 0.373469i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 5.09300 | + | 8.82134i | 0.281214 | + | 0.487077i | ||||
\(329\) | −5.49588 | + | 11.6873i | −0.302998 | + | 0.644339i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 9.43745 | + | 16.3461i | 0.518729 | + | 0.898465i | 0.999763 | + | 0.0217633i | \(0.00692802\pi\) |
−0.481034 | + | 0.876702i | \(0.659739\pi\) | |||||||
\(332\) | 2.59218 | 0.142264 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 3.32333 | + | 5.75618i | 0.181845 | + | 0.314964i | ||||
\(335\) | −12.7860 | − | 22.1460i | −0.698575 | − | 1.20997i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 10.9560 | 0.596813 | 0.298407 | − | 0.954439i | \(-0.403545\pi\) | ||||
0.298407 | + | 0.954439i | \(0.403545\pi\) | |||||||
\(338\) | 12.9092 | + | 1.53344i | 0.702170 | + | 0.0834082i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 8.20533 | − | 14.2121i | 0.444997 | − | 0.770757i | ||||
\(341\) | −57.1622 | −3.09551 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −17.9348 | + | 4.61985i | −0.968388 | + | 0.249449i | ||||
\(344\) | 1.19338 | − | 2.06699i | 0.0643426 | − | 0.111445i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 7.30337 | + | 12.6498i | 0.392632 | + | 0.680058i | ||||
\(347\) | 32.1029 | 1.72338 | 0.861688 | − | 0.507438i | \(-0.169408\pi\) | ||||
0.861688 | + | 0.507438i | \(0.169408\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −9.04373 | − | 15.6642i | −0.484100 | − | 0.838485i | 0.515734 | − | 0.856749i | \(-0.327519\pi\) |
−0.999833 | + | 0.0182638i | \(0.994186\pi\) | |||||||
\(350\) | −11.0381 | − | 15.8730i | −0.590013 | − | 0.848445i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 3.20391 | − | 5.54934i | 0.170769 | − | 0.295781i | ||||
\(353\) | −13.7323 | + | 23.7850i | −0.730894 | + | 1.26595i | 0.225607 | + | 0.974218i | \(0.427564\pi\) |
−0.956501 | + | 0.291728i | \(0.905770\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −9.79976 | − | 16.9737i | −0.520117 | − | 0.900869i | ||||
\(356\) | −7.00752 | −0.371398 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 7.06425 | − | 12.2356i | 0.373357 | − | 0.646673i | ||||
\(359\) | 10.8390 | − | 18.7738i | 0.572063 | − | 0.990842i | −0.424291 | − | 0.905526i | \(-0.639477\pi\) |
0.996354 | − | 0.0853162i | \(-0.0271900\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −4.21943 | + | 7.30827i | −0.222075 | + | 0.384646i | ||||
\(362\) | 13.6453 | 0.717181 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.237705 | − | 9.53643i | −0.0124591 | − | 0.499845i | ||||
\(365\) | −29.6916 | −1.55413 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −7.66086 | + | 13.2690i | −0.399894 | + | 0.692636i | −0.993712 | − | 0.111963i | \(-0.964286\pi\) |
0.593819 | + | 0.804599i | \(0.297620\pi\) | |||||||
\(368\) | 2.16961 | 0.113099 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 6.84033 | − | 11.8478i | 0.355612 | − | 0.615937i | ||||
\(371\) | −3.18404 | − | 4.57868i | −0.165307 | − | 0.237713i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 16.6792 | + | 28.8893i | 0.863618 | + | 1.49583i | 0.868413 | + | 0.495841i | \(0.165140\pi\) |
−0.00479550 | + | 0.999989i | \(0.501526\pi\) | |||||||
\(374\) | −14.9873 | + | 25.9587i | −0.774973 | + | 1.34229i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −2.44070 | + | 4.22742i | −0.125870 | + | 0.218012i | ||||
\(377\) | −7.93208 | + | 3.97432i | −0.408523 | + | 0.204688i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 8.43868 | + | 14.6162i | 0.433466 | + | 0.750785i | 0.997169 | − | 0.0751926i | \(-0.0239571\pi\) |
−0.563703 | + | 0.825977i | \(0.690624\pi\) | |||||||
\(380\) | 18.3767 | 0.942704 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 1.21572 | + | 2.10569i | 0.0622018 | + | 0.107737i | ||||
\(383\) | 10.7933 | + | 18.6945i | 0.551512 | + | 0.955246i | 0.998166 | + | 0.0605395i | \(0.0192821\pi\) |
−0.446654 | + | 0.894707i | \(0.647385\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 33.9566 | + | 48.8300i | 1.73059 | + | 2.48861i | ||||
\(386\) | 1.75877 | − | 3.04628i | 0.0895191 | − | 0.155052i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −4.92513 | + | 8.53057i | −0.250036 | + | 0.433074i | ||||
\(389\) | −8.68908 | − | 15.0499i | −0.440554 | − | 0.763062i | 0.557177 | − | 0.830394i | \(-0.311885\pi\) |
−0.997731 | + | 0.0673322i | \(0.978551\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −10.1490 | −0.513258 | ||||||||
\(392\) | −6.90136 | + | 1.17099i | −0.348571 | + | 0.0591437i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 1.15702 | + | 2.00402i | 0.0582900 | + | 0.100961i | ||||
\(395\) | 3.13550 | + | 5.43084i | 0.157764 | + | 0.273255i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.93718 | − | 5.08734i | −0.147413 | − | 0.255326i | 0.782858 | − | 0.622201i | \(-0.213761\pi\) |
−0.930270 | + | 0.366874i | \(0.880428\pi\) | |||||||
\(398\) | −5.69467 | −0.285448 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.65372 | − | 6.32843i | −0.182686 | − | 0.316422i | ||||
\(401\) | 13.9771 | 0.697983 | 0.348992 | − | 0.937126i | \(-0.386524\pi\) | ||||
0.348992 | + | 0.937126i | \(0.386524\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −28.7563 | + | 14.4082i | −1.43246 | + | 0.717724i | ||||
\(404\) | 6.91016 | − | 11.9687i | 0.343793 | − | 0.595467i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 3.71691 | + | 5.34495i | 0.184467 | + | 0.265266i | ||||
\(407\) | −12.4940 | + | 21.6403i | −0.619307 | + | 1.07267i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −37.4897 | −1.85375 | −0.926873 | − | 0.375375i | \(-0.877514\pi\) | ||||
−0.926873 | + | 0.375375i | \(0.877514\pi\) | |||||||
\(410\) | −35.7345 | −1.76480 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −6.56658 | + | 11.3737i | −0.323512 | + | 0.560340i | ||||
\(413\) | −31.0954 | + | 2.61933i | −1.53010 | + | 0.128889i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.54694 | + | 7.87553i | −0.223200 | + | 0.386594i | ||||
\(416\) | 0.213022 | − | 3.59925i | 0.0104443 | − | 0.176468i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −33.5655 | −1.64174 | ||||||||
\(419\) | 16.9548 | + | 29.3665i | 0.828294 | + | 1.43465i | 0.899375 | + | 0.437177i | \(0.144022\pi\) |
−0.0710814 | + | 0.997471i | \(0.522645\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −10.5503 | −0.514192 | −0.257096 | − | 0.966386i | \(-0.582766\pi\) | ||||
−0.257096 | + | 0.966386i | \(0.582766\pi\) | |||||||
\(422\) | −0.291966 | − | 0.505700i | −0.0142127 | − | 0.0246171i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1.05395 | − | 1.82549i | −0.0511842 | − | 0.0886536i | ||||
\(425\) | 17.0914 | + | 29.6032i | 0.829055 | + | 1.43597i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 14.1320 | + | 20.3219i | 0.683894 | + | 0.983446i | ||||
\(428\) | 9.76463 | 0.471991 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 4.18660 | + | 7.25141i | 0.201896 | + | 0.349694i | ||||
\(431\) | −12.8043 | + | 22.1777i | −0.616761 | + | 1.06826i | 0.373312 | + | 0.927706i | \(0.378222\pi\) |
−0.990073 | + | 0.140555i | \(0.955111\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 3.68968 | − | 6.39071i | 0.177315 | − | 0.307118i | −0.763645 | − | 0.645636i | \(-0.776592\pi\) |
0.940960 | + | 0.338518i | \(0.109926\pi\) | |||||||
\(434\) | 13.4750 | + | 19.3772i | 0.646821 | + | 0.930135i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1.14786 | + | 1.98816i | 0.0549726 | + | 0.0952154i | ||||
\(437\) | −5.68244 | − | 9.84227i | −0.271828 | − | 0.470820i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −23.0510 | −1.10016 | −0.550082 | − | 0.835110i | \(-0.685404\pi\) | ||||
−0.550082 | + | 0.835110i | \(0.685404\pi\) | |||||||
\(440\) | 11.2399 | + | 19.4682i | 0.535844 | + | 0.928108i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.996476 | + | 16.8366i | −0.0473975 | + | 0.800836i | ||||
\(443\) | −9.05605 | + | 15.6855i | −0.430266 | + | 0.745242i | −0.996896 | − | 0.0787300i | \(-0.974914\pi\) |
0.566630 | + | 0.823972i | \(0.308247\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 12.2919 | − | 21.2902i | 0.582691 | − | 1.00925i | ||||
\(446\) | 7.25749 | + | 12.5703i | 0.343652 | + | 0.595223i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2.63641 | + | 0.222079i | −0.124559 | + | 0.0104923i | ||||
\(449\) | 9.23084 | − | 15.9883i | 0.435630 | − | 0.754534i | −0.561717 | − | 0.827330i | \(-0.689859\pi\) |
0.997347 | + | 0.0727961i | \(0.0231922\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 65.2701 | 3.07345 | ||||||||
\(452\) | −1.96268 | + | 3.39947i | −0.0923168 | + | 0.159897i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 20.2464 | 0.950209 | ||||||||
\(455\) | 29.3904 | + | 16.0056i | 1.37784 | + | 0.750356i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −17.8047 | −0.832866 | −0.416433 | − | 0.909166i | \(-0.636720\pi\) | ||||
−0.416433 | + | 0.909166i | \(0.636720\pi\) | |||||||
\(458\) | 0.668929 | − | 1.15862i | 0.0312570 | − | 0.0541387i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −3.80571 | + | 6.59168i | −0.177442 | + | 0.307339i | ||||
\(461\) | 2.51030 | − | 4.34797i | 0.116916 | − | 0.202505i | −0.801628 | − | 0.597823i | \(-0.796032\pi\) |
0.918544 | + | 0.395318i | \(0.129366\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −25.0075 | −1.16220 | −0.581099 | − | 0.813833i | \(-0.697377\pi\) | ||||
−0.581099 | + | 0.813833i | \(0.697377\pi\) | |||||||
\(464\) | 1.23033 | + | 2.13099i | 0.0571167 | + | 0.0989290i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 6.97568 | − | 12.0822i | 0.323142 | − | 0.559699i | ||||
\(467\) | −12.9128 | + | 22.3656i | −0.597532 | + | 1.03496i | 0.395653 | + | 0.918400i | \(0.370518\pi\) |
−0.993184 | + | 0.116555i | \(0.962815\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 8.20680 | − | 17.4522i | 0.378955 | − | 0.805866i | ||||
\(470\) | −8.56246 | − | 14.8306i | −0.394957 | − | 0.684085i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −11.7946 | −0.542889 | ||||||||
\(473\) | −7.64695 | − | 13.2449i | −0.351607 | − | 0.609001i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −19.1390 | + | 33.1497i | −0.878156 | + | 1.52101i | ||||
\(476\) | 12.3326 | − | 1.03884i | 0.565265 | − | 0.0476153i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 9.05495 | 0.414164 | ||||||||
\(479\) | 11.5569 | − | 20.0171i | 0.528047 | − | 0.914604i | −0.471418 | − | 0.881910i | \(-0.656258\pi\) |
0.999465 | − | 0.0326944i | \(-0.0104088\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.830706 | + | 14.0357i | −0.0378769 | + | 0.639974i | ||||
\(482\) | −20.1102 | −0.915993 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −15.0301 | − | 26.0329i | −0.683186 | − | 1.18331i | ||||
\(485\) | −17.2783 | − | 29.9269i | −0.784568 | − | 1.35891i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −16.2740 | −0.737447 | −0.368723 | − | 0.929539i | \(-0.620205\pi\) | ||||
−0.368723 | + | 0.929539i | \(0.620205\pi\) | |||||||
\(488\) | 4.67781 | + | 8.10220i | 0.211754 | + | 0.366769i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 8.54799 | − | 23.0217i | 0.386159 | − | 1.04001i | ||||
\(491\) | 19.0299 | + | 32.9608i | 0.858809 | + | 1.48750i | 0.873065 | + | 0.487603i | \(0.162129\pi\) |
−0.0142561 | + | 0.999898i | \(0.504538\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −5.75525 | − | 9.96838i | −0.259203 | − | 0.448953i | ||||
\(494\) | −16.8857 | + | 8.46047i | −0.759722 | + | 0.380654i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 4.46035 | + | 7.72555i | 0.200275 | + | 0.346887i | ||||
\(497\) | 6.29005 | − | 13.3761i | 0.282147 | − | 0.600000i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 17.1178 | − | 29.6489i | 0.766297 | − | 1.32727i | −0.173261 | − | 0.984876i | \(-0.555430\pi\) |
0.939558 | − | 0.342389i | \(-0.111236\pi\) | |||||||
\(500\) | 8.09497 | 0.362018 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 4.09035 | − | 7.08469i | 0.182561 | − | 0.316205i | ||||
\(503\) | 1.12053 | − | 1.94081i | 0.0499619 | − | 0.0865365i | −0.839963 | − | 0.542644i | \(-0.817423\pi\) |
0.889925 | + | 0.456107i | \(0.150757\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 24.2422 | + | 41.9887i | 1.07876 | + | 1.86847i | ||||
\(506\) | 6.95123 | − | 12.0399i | 0.309020 | − | 0.535238i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 3.51196 | + | 6.08289i | 0.155818 | + | 0.269884i | ||||
\(509\) | 25.8328 | 1.14502 | 0.572509 | − | 0.819899i | \(-0.305970\pi\) | ||||
0.572509 | + | 0.819899i | \(0.305970\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −12.7844 | − | 18.3841i | −0.565549 | − | 0.813265i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 9.75393 | 0.430227 | ||||||||
\(515\) | −23.0369 | − | 39.9010i | −1.01513 | − | 1.75825i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 15.6396 | + | 27.0885i | 0.687828 | + | 1.19135i | ||||
\(518\) | 10.2810 | − | 0.866025i | 0.451722 | − | 0.0380510i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 10.5615 | + | 6.96065i | 0.463154 | + | 0.305244i | ||||
\(521\) | 12.1715 | + | 21.0817i | 0.533245 | + | 0.923607i | 0.999246 | + | 0.0388230i | \(0.0123609\pi\) |
−0.466001 | + | 0.884784i | \(0.654306\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 8.88709 | 0.388605 | 0.194303 | − | 0.980942i | \(-0.437756\pi\) | ||||
0.194303 | + | 0.980942i | \(0.437756\pi\) | |||||||
\(524\) | 4.56251 | − | 7.90250i | 0.199314 | − | 0.345222i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 1.47358 | − | 2.55232i | 0.0642511 | − | 0.111286i | ||||
\(527\) | −20.8646 | − | 36.1386i | −0.908878 | − | 1.57422i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −18.2928 | −0.795339 | ||||||||
\(530\) | 7.39490 | 0.321214 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 7.91249 | + | 11.3782i | 0.343050 | + | 0.493310i | ||||
\(533\) | 32.8351 | − | 16.4519i | 1.42225 | − | 0.712609i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −17.1281 | + | 29.6668i | −0.740513 | + | 1.28261i | ||||
\(536\) | 3.64461 | − | 6.31265i | 0.157423 | − | 0.272665i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −23.9353 | −1.03192 | ||||||||
\(539\) | −15.6132 | + | 42.0497i | −0.672506 | + | 1.81121i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 8.01702 | − | 13.8859i | 0.344679 | − | 0.597001i | −0.640617 | − | 0.767861i | \(-0.721321\pi\) |
0.985295 | + | 0.170860i | \(0.0546545\pi\) | |||||||
\(542\) | −19.3667 | −0.831871 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 4.67781 | 0.200559 | ||||||||
\(545\) | −8.05385 | −0.344989 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −10.3955 | −0.444481 | −0.222240 | − | 0.974992i | \(-0.571337\pi\) | ||||
−0.222240 | + | 0.974992i | \(0.571337\pi\) | |||||||
\(548\) | −15.0674 | −0.643648 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −46.8248 | −1.99662 | ||||||||
\(551\) | 6.44473 | − | 11.1626i | 0.274555 | − | 0.475543i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.01254 | + | 4.27977i | −0.0855821 | + | 0.181994i | ||||
\(554\) | −2.43419 | −0.103419 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 7.02519 | − | 12.1680i | 0.297934 | − | 0.516038i | ||||
\(557\) | 16.1951 | − | 28.0508i | 0.686209 | − | 1.18855i | −0.286846 | − | 0.957977i | \(-0.592607\pi\) |
0.973055 | − | 0.230572i | \(-0.0740598\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −7.18540 | − | 4.73558i | −0.303910 | − | 0.200294i | ||||
\(560\) | 3.94981 | − | 8.39947i | 0.166910 | − | 0.354942i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −2.80329 | −0.118250 | ||||||||
\(563\) | 2.43309 | 0.102543 | 0.0512713 | − | 0.998685i | \(-0.483673\pi\) | ||||
0.0512713 | + | 0.998685i | \(0.483673\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −6.88548 | − | 11.9260i | −0.289674 | − | 0.501730i | ||||
\(566\) | −8.47705 | + | 14.6827i | −0.356317 | + | 0.617159i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 2.79339 | − | 4.83829i | 0.117208 | − | 0.203010i | ||||
\(569\) | 7.94066 | 0.332890 | 0.166445 | − | 0.986051i | \(-0.446771\pi\) | ||||
0.166445 | + | 0.986051i | \(0.446771\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 18.0463 | + | 31.2571i | 0.755214 | + | 1.30807i | 0.945268 | + | 0.326295i | \(0.105800\pi\) |
−0.190054 | + | 0.981774i | \(0.560866\pi\) | |||||||
\(572\) | −19.2910 | − | 12.7138i | −0.806596 | − | 0.531591i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −15.3863 | − | 22.1257i | −0.642212 | − | 0.923507i | ||||
\(575\) | −7.92715 | − | 13.7302i | −0.330585 | − | 0.572590i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −16.3980 | − | 28.4021i | −0.682657 | − | 1.18240i | −0.974167 | − | 0.225829i | \(-0.927491\pi\) |
0.291510 | − | 0.956568i | \(-0.405842\pi\) | |||||||
\(578\) | −4.88187 | −0.203059 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −8.63248 | −0.358444 | ||||||||
\(581\) | −6.83406 | + | 0.575669i | −0.283524 | + | 0.0238828i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −13.5070 | −0.559403 | ||||||||
\(584\) | −4.23175 | − | 7.32961i | −0.175111 | − | 0.303301i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 2.84568 | − | 4.92886i | 0.117554 | − | 0.203609i | ||||
\(587\) | −10.9482 | − | 18.9629i | −0.451881 | − | 0.782681i | 0.546622 | − | 0.837380i | \(-0.315914\pi\) |
−0.998503 | + | 0.0546984i | \(0.982580\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 23.3642 | − | 40.4680i | 0.962707 | − | 1.66746i | ||||
\(590\) | 20.6888 | − | 35.8341i | 0.851746 | − | 1.47527i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 3.89962 | 0.160274 | ||||||||
\(593\) | −3.25002 | + | 5.62921i | −0.133463 | + | 0.231164i | −0.925009 | − | 0.379945i | \(-0.875943\pi\) |
0.791547 | + | 0.611109i | \(0.209276\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −18.4765 | + | 39.2911i | −0.757461 | + | 1.61078i | ||||
\(596\) | 0.614668 | + | 1.06464i | 0.0251778 | + | 0.0436092i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.462175 | − | 7.80897i | 0.0188997 | − | 0.319333i | ||||
\(599\) | −1.40105 | − | 2.42668i | −0.0572452 | − | 0.0991516i | 0.835983 | − | 0.548756i | \(-0.184898\pi\) |
−0.893228 | + | 0.449604i | \(0.851565\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −11.8591 | − | 20.5405i | −0.483741 | − | 0.837864i | 0.516085 | − | 0.856538i | \(-0.327389\pi\) |
−0.999826 | + | 0.0186737i | \(0.994056\pi\) | |||||||
\(602\) | −2.68720 | + | 5.71447i | −0.109522 | + | 0.232904i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 8.17245 | + | 14.1551i | 0.332532 | + | 0.575963i | ||||
\(605\) | 105.457 | 4.28744 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 5.92151 | + | 10.2564i | 0.240347 | + | 0.416293i | 0.960813 | − | 0.277197i | \(-0.0894055\pi\) |
−0.720466 | + | 0.693490i | \(0.756072\pi\) | |||||||
\(608\) | 2.61911 | + | 4.53642i | 0.106219 | + | 0.183976i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −32.8213 | −1.32890 | ||||||||
\(611\) | 14.6956 | + | 9.68523i | 0.594521 | + | 0.391823i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 8.09895 | − | 14.0278i | 0.327114 | − | 0.566577i | −0.654824 | − | 0.755781i | \(-0.727257\pi\) |
0.981938 | + | 0.189204i | \(0.0605907\pi\) | |||||||
\(614\) | −3.48603 | −0.140685 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −7.21444 | + | 15.3419i | −0.290678 | + | 0.618142i | ||||
\(617\) | 22.0973 | − | 38.2737i | 0.889606 | − | 1.54084i | 0.0492637 | − | 0.998786i | \(-0.484313\pi\) |
0.840342 | − | 0.542057i | \(-0.182354\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −17.0272 | − | 29.4920i | −0.684383 | − | 1.18539i | −0.973630 | − | 0.228131i | \(-0.926738\pi\) |
0.289248 | − | 0.957254i | \(-0.406595\pi\) | |||||||
\(620\) | −31.2955 | −1.25686 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 12.0016 | + | 20.7873i | 0.481219 | + | 0.833496i | ||||
\(623\) | 18.4747 | − | 1.55622i | 0.740174 | − | 0.0623488i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 4.06923 | − | 7.04812i | 0.162769 | − | 0.281925i | ||||
\(626\) | 8.77758 | − | 15.2032i | 0.350823 | − | 0.607643i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −7.98494 | − | 13.8303i | −0.318634 | − | 0.551890i | ||||
\(629\) | −18.2417 | −0.727344 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −0.712707 | + | 1.23444i | −0.0283724 | + | 0.0491424i | −0.879863 | − | 0.475227i | \(-0.842366\pi\) |
0.851491 | + | 0.524370i | \(0.175699\pi\) | |||||||
\(632\) | −0.893764 | + | 1.54804i | −0.0355520 | + | 0.0615779i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −1.42018 | + | 2.45983i | −0.0564027 | + | 0.0976923i | ||||
\(635\) | −24.6413 | −0.977859 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.74453 | + | 25.0892i | 0.108742 | + | 0.994070i | ||||
\(638\) | 15.7675 | 0.624240 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1.75410 | − | 3.03819i | 0.0693368 | − | 0.120095i | ||||
\(641\) | 23.2001 | 0.916350 | 0.458175 | − | 0.888862i | \(-0.348503\pi\) | ||||
0.458175 | + | 0.888862i | \(0.348503\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 3.41821 | − | 5.92052i | 0.134801 | − | 0.233482i | −0.790720 | − | 0.612178i | \(-0.790294\pi\) |
0.925521 | + | 0.378695i | \(0.123627\pi\) | |||||||
\(644\) | −5.71999 | + | 0.481825i | −0.225399 | + | 0.0189866i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −12.2517 | − | 21.2205i | −0.482036 | − | 0.834910i | ||||
\(647\) | −21.2982 | + | 36.8896i | −0.837320 | + | 1.45028i | 0.0548069 | + | 0.998497i | \(0.482546\pi\) |
−0.892127 | + | 0.451784i | \(0.850788\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −37.7888 | + | 65.4521i | −1.48334 | + | 2.56922i | ||||
\(650\) | −23.5560 | + | 11.8026i | −0.923941 | + | 0.462935i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −3.89316 | − | 6.74316i | −0.152468 | − | 0.264082i | ||||
\(653\) | 39.4447 | 1.54359 | 0.771794 | − | 0.635872i | \(-0.219360\pi\) | ||||
0.771794 | + | 0.635872i | \(0.219360\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 16.0062 | + | 27.7235i | 0.625413 | + | 1.08325i | ||||
\(656\) | −5.09300 | − | 8.82134i | −0.198848 | − | 0.344415i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 5.49588 | − | 11.6873i | 0.214252 | − | 0.455617i | ||||
\(659\) | −0.667872 | + | 1.15679i | −0.0260166 | + | 0.0450621i | −0.878741 | − | 0.477300i | \(-0.841616\pi\) |
0.852724 | + | 0.522362i | \(0.174949\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 6.44661 | − | 11.1659i | 0.250744 | − | 0.434301i | −0.712987 | − | 0.701177i | \(-0.752658\pi\) |
0.963731 | + | 0.266876i | \(0.0859914\pi\) | |||||||
\(662\) | −9.43745 | − | 16.3461i | −0.366797 | − | 0.635311i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2.59218 | −0.100596 | ||||||||
\(665\) | −48.4485 | + | 4.08108i | −1.87875 | + | 0.158257i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 2.66934 | + | 4.62343i | 0.103357 | + | 0.179020i | ||||
\(668\) | −3.32333 | − | 5.75618i | −0.128584 | − | 0.222713i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 12.7860 | + | 22.1460i | 0.493967 | + | 0.855576i | ||||
\(671\) | 59.9491 | 2.31431 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −13.8759 | − | 24.0338i | −0.534877 | − | 0.926434i | −0.999169 | − | 0.0407519i | \(-0.987025\pi\) |
0.464292 | − | 0.885682i | \(-0.346309\pi\) | |||||||
\(674\) | −10.9560 | −0.422011 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −12.9092 | − | 1.53344i | −0.496509 | − | 0.0589785i | ||||
\(677\) | 1.50219 | − | 2.60188i | 0.0577340 | − | 0.0999982i | −0.835714 | − | 0.549165i | \(-0.814946\pi\) |
0.893448 | + | 0.449167i | \(0.148279\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 11.0902 | − | 23.5839i | 0.425604 | − | 0.905067i | ||||
\(680\) | −8.20533 | + | 14.2121i | −0.314660 | + | 0.545007i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 57.1622 | 2.18885 | ||||||||
\(683\) | 14.8693 | 0.568959 | 0.284480 | − | 0.958682i | \(-0.408179\pi\) | ||||
0.284480 | + | 0.958682i | \(0.408179\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 26.4297 | − | 45.7776i | 1.00983 | − | 1.74907i | ||||
\(686\) | 17.9348 | − | 4.61985i | 0.684754 | − | 0.176387i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −1.19338 | + | 2.06699i | −0.0454971 | + | 0.0788033i | ||||
\(689\) | −6.79491 | + | 3.40455i | −0.258865 | + | 0.129703i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 8.38107 | 0.318831 | 0.159415 | − | 0.987212i | \(-0.449039\pi\) | ||||
0.159415 | + | 0.987212i | \(0.449039\pi\) | |||||||
\(692\) | −7.30337 | − | 12.6498i | −0.277633 | − | 0.480874i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −32.1029 | −1.21861 | ||||||||
\(695\) | 24.6457 | + | 42.6877i | 0.934867 | + | 1.61924i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 23.8241 | + | 41.2645i | 0.902401 | + | 1.56300i | ||||
\(698\) | 9.04373 | + | 15.6642i | 0.342310 | + | 0.592899i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 11.0381 | + | 15.8730i | 0.417203 | + | 0.599941i | ||||
\(701\) | −39.2809 | −1.48362 | −0.741809 | − | 0.670611i | \(-0.766032\pi\) | ||||
−0.741809 | + | 0.670611i | \(0.766032\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −10.2135 | − | 17.6904i | −0.385211 | − | 0.667204i | ||||
\(704\) | −3.20391 | + | 5.54934i | −0.120752 | + | 0.209148i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 13.7323 | − | 23.7850i | 0.516820 | − | 0.895159i | ||||
\(707\) | −15.5600 | + | 33.0892i | −0.585195 | + | 1.24445i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −9.66018 | − | 16.7319i | −0.362796 | − | 0.628381i | 0.625624 | − | 0.780125i | \(-0.284844\pi\) |
−0.988420 | + | 0.151744i | \(0.951511\pi\) | |||||||
\(710\) | 9.79976 | + | 16.9737i | 0.367778 | + | 0.637011i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 7.00752 | 0.262618 | ||||||||
\(713\) | 9.67721 | + | 16.7614i | 0.362414 | + | 0.627720i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 72.4652 | − | 36.3083i | 2.71004 | − | 1.35785i | ||||
\(716\) | −7.06425 | + | 12.2356i | −0.264003 | + | 0.457267i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −10.8390 | + | 18.7738i | −0.404510 | + | 0.700631i | ||||
\(719\) | −14.2205 | − | 24.6306i | −0.530335 | − | 0.918567i | −0.999374 | − | 0.0353892i | \(-0.988733\pi\) |
0.469039 | − | 0.883178i | \(-0.344600\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 14.7864 | − | 31.4440i | 0.550674 | − | 1.17103i | ||||
\(722\) | 4.21943 | − | 7.30827i | 0.157031 | − | 0.271986i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −13.6453 | −0.507124 | ||||||||
\(725\) | 8.99057 | − | 15.5721i | 0.333902 | − | 0.578334i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −48.4057 | −1.79527 | −0.897634 | − | 0.440741i | \(-0.854716\pi\) | ||||
−0.897634 | + | 0.440741i | \(0.854716\pi\) | |||||||
\(728\) | 0.237705 | + | 9.53643i | 0.00880992 | + | 0.353444i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 29.6916 | 1.09894 | ||||||||
\(731\) | 5.58239 | − | 9.66898i | 0.206472 | − | 0.357620i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −3.69118 | + | 6.39332i | −0.136337 | + | 0.236143i | −0.926107 | − | 0.377260i | \(-0.876866\pi\) |
0.789770 | + | 0.613403i | \(0.210200\pi\) | |||||||
\(734\) | 7.66086 | − | 13.2690i | 0.282768 | − | 0.489768i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.16961 | −0.0799729 | ||||||||
\(737\) | −23.3540 | − | 40.4503i | −0.860256 | − | 1.49001i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2.41213 | + | 4.17793i | −0.0887316 | + | 0.153688i | −0.906975 | − | 0.421184i | \(-0.861615\pi\) |
0.818244 | + | 0.574872i | \(0.194948\pi\) | |||||||
\(740\) | −6.84033 | + | 11.8478i | −0.251455 | + | 0.435533i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 3.18404 | + | 4.57868i | 0.116890 | + | 0.168089i | ||||
\(743\) | −17.8556 | − | 30.9268i | −0.655059 | − | 1.13460i | −0.981879 | − | 0.189509i | \(-0.939310\pi\) |
0.326820 | − | 0.945087i | \(-0.394023\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −4.31275 | −0.158007 | ||||||||
\(746\) | −16.6792 | − | 28.8893i | −0.610670 | − | 1.05771i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 14.9873 | − | 25.9587i | 0.547989 | − | 0.949145i | ||||
\(749\) | −25.7436 | + | 2.16852i | −0.940651 | + | 0.0792361i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 13.0969 | 0.477913 | 0.238956 | − | 0.971030i | \(-0.423195\pi\) | ||||
0.238956 | + | 0.971030i | \(0.423195\pi\) | |||||||
\(752\) | 2.44070 | − | 4.22742i | 0.0890032 | − | 0.154158i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 7.93208 | − | 3.97432i | 0.288869 | − | 0.144736i | ||||
\(755\) | −57.3411 | −2.08686 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −22.0344 | − | 38.1646i | −0.800852 | − | 1.38712i | −0.919056 | − | 0.394127i | \(-0.871047\pi\) |
0.118204 | − | 0.992989i | \(-0.462286\pi\) | |||||||
\(758\) | −8.43868 | − | 14.6162i | −0.306507 | − | 0.530885i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −18.3767 | −0.666592 | ||||||||
\(761\) | −4.30571 | − | 7.45771i | −0.156082 | − | 0.270342i | 0.777371 | − | 0.629043i | \(-0.216553\pi\) |
−0.933452 | + | 0.358701i | \(0.883220\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −3.46777 | − | 4.98669i | −0.125542 | − | 0.180530i | ||||
\(764\) | −1.21572 | − | 2.10569i | −0.0439833 | − | 0.0761814i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −10.7933 | − | 18.6945i | −0.389978 | − | 0.675461i | ||||
\(767\) | −2.51251 | + | 42.4517i | −0.0907213 | + | 1.53284i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −3.20391 | − | 5.54934i | −0.115536 | − | 0.200114i | 0.802458 | − | 0.596709i | \(-0.203525\pi\) |
−0.917994 | + | 0.396595i | \(0.870192\pi\) | |||||||
\(770\) | −33.9566 | − | 48.8300i | −1.22371 | − | 1.75971i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −1.75877 | + | 3.04628i | −0.0632996 | + | 0.109638i | ||||
\(773\) | −12.5816 | −0.452530 | −0.226265 | − | 0.974066i | \(-0.572652\pi\) | ||||
−0.226265 | + | 0.974066i | \(0.572652\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 32.5937 | − | 56.4540i | 1.17080 | − | 2.02789i | ||||
\(776\) | 4.92513 | − | 8.53057i | 0.176802 | − | 0.306230i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 8.68908 | + | 15.0499i | 0.311519 | + | 0.539566i | ||||
\(779\) | −26.6782 | + | 46.2080i | −0.955846 | + | 1.65557i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −17.8995 | − | 31.0029i | −0.640496 | − | 1.10937i | ||||
\(782\) | 10.1490 | 0.362928 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 6.90136 | − | 1.17099i | 0.246477 | − | 0.0418209i | ||||
\(785\) | 56.0255 | 1.99963 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −19.2139 | −0.684900 | −0.342450 | − | 0.939536i | \(-0.611257\pi\) | ||||
−0.342450 | + | 0.939536i | \(0.611257\pi\) | |||||||
\(788\) | −1.15702 | − | 2.00402i | −0.0412172 | − | 0.0713904i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −3.13550 | − | 5.43084i | −0.111556 | − | 0.193221i | ||||
\(791\) | 4.41949 | − | 9.39827i | 0.157139 | − | 0.334164i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 30.1583 | − | 15.1107i | 1.07095 | − | 0.536595i | ||||
\(794\) | 2.93718 | + | 5.08734i | 0.104237 | + | 0.180543i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 5.69467 | 0.201842 | ||||||||
\(797\) | 8.43333 | − | 14.6070i | 0.298724 | − | 0.517405i | −0.677120 | − | 0.735872i | \(-0.736772\pi\) |
0.975844 | + | 0.218467i | \(0.0701058\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −11.4171 | + | 19.7750i | −0.403909 | + | 0.699591i | ||||
\(800\) | 3.65372 | + | 6.32843i | 0.129179 | + | 0.223744i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −13.9771 | −0.493549 | ||||||||
\(803\) | −54.2326 | −1.91383 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 8.56955 | − | 18.2236i | 0.302037 | − | 0.642296i | ||||
\(806\) | 28.7563 | − | 14.4082i | 1.01290 | − | 0.507507i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −6.91016 | + | 11.9687i | −0.243099 | + | 0.421059i | ||||
\(809\) | 4.38025 | − | 7.58681i | 0.154001 | − | 0.266738i | −0.778694 | − | 0.627404i | \(-0.784117\pi\) |
0.932695 | + | 0.360666i | \(0.117451\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −32.7259 | −1.14916 | −0.574581 | − | 0.818448i | \(-0.694835\pi\) | ||||
−0.574581 | + | 0.818448i | \(0.694835\pi\) | |||||||
\(812\) | −3.71691 | − | 5.34495i | −0.130438 | − | 0.187571i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 12.4940 | − | 21.6403i | 0.437916 | − | 0.758493i | ||||
\(815\) | 27.3160 | 0.956837 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 12.5023 | 0.437401 | ||||||||
\(818\) | 37.4897 | 1.31080 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 35.7345 | 1.24790 | ||||||||
\(821\) | −14.6951 | −0.512863 | −0.256432 | − | 0.966562i | \(-0.582547\pi\) | ||||
−0.256432 | + | 0.966562i | \(0.582547\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 41.3989 | 1.44307 | 0.721537 | − | 0.692376i | \(-0.243436\pi\) | ||||
0.721537 | + | 0.692376i | \(0.243436\pi\) | |||||||
\(824\) | 6.56658 | − | 11.3737i | 0.228758 | − | 0.396220i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 31.0954 | − | 2.61933i | 1.08195 | − | 0.0911381i | ||||
\(827\) | −37.8157 | −1.31498 | −0.657491 | − | 0.753462i | \(-0.728382\pi\) | ||||
−0.657491 | + | 0.753462i | \(0.728382\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −17.2120 | + | 29.8120i | −0.597796 | + | 1.03541i | 0.395349 | + | 0.918531i | \(0.370624\pi\) |
−0.993146 | + | 0.116883i | \(0.962710\pi\) | |||||||
\(830\) | 4.54694 | − | 7.87553i | 0.157826 | − | 0.273363i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −0.213022 | + | 3.59925i | −0.00738521 | + | 0.124782i | ||||
\(833\) | −32.2832 | + | 5.47764i | −1.11855 | + | 0.189789i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 23.3178 | 0.806946 | ||||||||
\(836\) | 33.5655 | 1.16089 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −16.9548 | − | 29.3665i | −0.585692 | − | 1.01445i | ||||
\(839\) | 0.709771 | − | 1.22936i | 0.0245040 | − | 0.0424422i | −0.853513 | − | 0.521071i | \(-0.825533\pi\) |
0.878017 | + | 0.478629i | \(0.158866\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 11.4726 | − | 19.8711i | 0.395606 | − | 0.685210i | ||||
\(842\) | 10.5503 | 0.363588 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0.291966 | + | 0.505700i | 0.0100499 | + | 0.0174069i | ||||
\(845\) | 27.3030 | − | 36.5309i | 0.939251 | − | 1.25670i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 45.4069 | + | 65.2956i | 1.56020 | + | 2.24358i | ||||
\(848\) | 1.05395 | + | 1.82549i | 0.0361927 | + | 0.0626875i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −17.0914 | − | 29.6032i | −0.586230 | − | 1.01538i | ||||
\(851\) | 8.46066 | 0.290028 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 36.8892 | 1.26306 | 0.631531 | − | 0.775351i | \(-0.282427\pi\) | ||||
0.631531 | + | 0.775351i | \(0.282427\pi\) | |||||||
\(854\) | −14.1320 | − | 20.3219i | −0.483586 | − | 0.695401i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −9.76463 | −0.333748 | ||||||||
\(857\) | −13.9245 | − | 24.1180i | −0.475653 | − | 0.823855i | 0.523958 | − | 0.851744i | \(-0.324455\pi\) |
−0.999611 | + | 0.0278890i | \(0.991121\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −25.2862 | + | 43.7970i | −0.862754 | + | 1.49433i | 0.00650572 | + | 0.999979i | \(0.497929\pi\) |
−0.869260 | + | 0.494355i | \(0.835404\pi\) | |||||||
\(860\) | −4.18660 | − | 7.25141i | −0.142762 | − | 0.247271i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 12.8043 | − | 22.1777i | 0.436116 | − | 0.755375i | ||||
\(863\) | −14.5501 | + | 25.2016i | −0.495293 | + | 0.857872i | −0.999985 | − | 0.00542701i | \(-0.998273\pi\) |
0.504693 | + | 0.863299i | \(0.331606\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 51.2433 | 1.74233 | ||||||||
\(866\) | −3.68968 | + | 6.39071i | −0.125380 | + | 0.217165i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −13.4750 | − | 19.3772i | −0.457371 | − | 0.657705i | ||||
\(869\) | 5.72708 | + | 9.91959i | 0.194278 | + | 0.336499i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −21.9444 | − | 14.4626i | −0.743559 | − | 0.490047i | ||||
\(872\) | −1.14786 | − | 1.98816i | −0.0388715 | − | 0.0673275i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 5.68244 | + | 9.84227i | 0.192211 | + | 0.332920i | ||||
\(875\) | −21.3417 | + | 1.79773i | −0.721481 | + | 0.0607742i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −0.556332 | − | 0.963595i | −0.0187860 | − | 0.0325383i | 0.856480 | − | 0.516181i | \(-0.172647\pi\) |
−0.875266 | + | 0.483643i | \(0.839313\pi\) | |||||||
\(878\) | 23.0510 | 0.777934 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −11.2399 | − | 19.4682i | −0.378899 | − | 0.656272i | ||||
\(881\) | 8.14254 | + | 14.1033i | 0.274329 | + | 0.475152i | 0.969966 | − | 0.243242i | \(-0.0782109\pi\) |
−0.695636 | + | 0.718394i | \(0.744878\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −37.0876 | −1.24810 | −0.624048 | − | 0.781386i | \(-0.714513\pi\) | ||||
−0.624048 | + | 0.781386i | \(0.714513\pi\) | |||||||
\(884\) | 0.996476 | − | 16.8366i | 0.0335151 | − | 0.566276i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 9.05605 | − | 15.6855i | 0.304244 | − | 0.526966i | ||||
\(887\) | 21.6055 | 0.725443 | 0.362722 | − | 0.931898i | \(-0.381848\pi\) | ||||
0.362722 | + | 0.931898i | \(0.381848\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −10.6099 | − | 15.2571i | −0.355843 | − | 0.511706i | ||||
\(890\) | −12.2919 | + | 21.2902i | −0.412025 | + | 0.713647i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −7.25749 | − | 12.5703i | −0.242999 | − | 0.420886i | ||||
\(893\) | −25.5698 | −0.855661 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −24.7828 | − | 42.9250i | −0.828396 | − | 1.43482i | ||||
\(896\) | 2.63641 | − | 0.222079i | 0.0880764 | − | 0.00741914i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −9.23084 | + | 15.9883i | −0.308037 | + | 0.533536i | ||||
\(899\) | −10.9754 | + | 19.0099i | −0.366050 | + | 0.634017i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −4.93016 | − | 8.53928i | −0.164247 | − | 0.284485i | ||||
\(902\) | −65.2701 | −2.17326 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 1.96268 | − | 3.39947i | 0.0652778 | − | 0.113065i | ||||
\(905\) | 23.9352 | − | 41.4570i | 0.795633 | − | 1.37808i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 14.5270 | − | 25.1614i | 0.482360 | − | 0.835472i | −0.517435 | − | 0.855722i | \(-0.673113\pi\) |
0.999795 | + | 0.0202508i | \(0.00644647\pi\) | |||||||
\(908\) | −20.2464 | −0.671899 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −29.3904 | − | 16.0056i | −0.974283 | − | 0.530582i | ||||
\(911\) | 22.2791 | 0.738141 | 0.369071 | − | 0.929401i | \(-0.379676\pi\) | ||||
0.369071 | + | 0.929401i | \(0.379676\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −8.30511 | + | 14.3849i | −0.274859 | + | 0.476070i | ||||
\(914\) | 17.8047 | 0.588926 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.668929 | + | 1.15862i | −0.0221020 | + | 0.0382819i | ||||
\(917\) | −10.2737 | + | 21.8475i | −0.339267 | + | 0.721468i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 17.5718 | + | 30.4352i | 0.579639 | + | 1.00396i | 0.995521 | + | 0.0945453i | \(0.0301397\pi\) |
−0.415882 | + | 0.909419i | \(0.636527\pi\) | |||||||
\(920\) | 3.80571 | − | 6.59168i | 0.125470 | − | 0.217321i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −2.51030 | + | 4.34797i | −0.0826723 | + | 0.143193i | ||||
\(923\) | −16.8192 | − | 11.0848i | −0.553610 | − | 0.364860i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −14.2481 | − | 24.6785i | −0.468476 | − | 0.811425i | ||||
\(926\) | 25.0075 | 0.821798 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.23033 | − | 2.13099i | −0.0403876 | − | 0.0699533i | ||||
\(929\) | −18.3722 | − | 31.8217i | −0.602774 | − | 1.04403i | −0.992399 | − | 0.123061i | \(-0.960729\pi\) |
0.389625 | − | 0.920973i | \(-0.372604\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −23.3875 | − | 28.2406i | −0.766494 | − | 0.925547i | ||||
\(932\) | −6.97568 | + | 12.0822i | −0.228496 | + | 0.395767i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 12.9128 | − | 22.3656i | 0.422519 | − | 0.731824i | ||||
\(935\) | 52.5783 | + | 91.0683i | 1.71949 | + | 2.97825i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 18.5284 | 0.605295 | 0.302647 | − | 0.953103i | \(-0.402130\pi\) | ||||
0.302647 | + | 0.953103i | \(0.402130\pi\) | |||||||
\(938\) | −8.20680 | + | 17.4522i | −0.267961 | + | 0.569833i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 8.56246 | + | 14.8306i | 0.279277 | + | 0.483721i | ||||
\(941\) | −22.5985 | − | 39.1417i | −0.736689 | − | 1.27598i | −0.953979 | − | 0.299875i | \(-0.903055\pi\) |
0.217290 | − | 0.976107i | \(-0.430278\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −11.0498 | − | 19.1389i | −0.359832 | − | 0.623247i | ||||
\(944\) | 11.7946 | 0.383881 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 7.64695 | + | 13.2449i | 0.248624 | + | 0.430629i | ||||
\(947\) | −28.8667 | −0.938040 | −0.469020 | − | 0.883187i | \(-0.655393\pi\) | ||||
−0.469020 | + | 0.883187i | \(0.655393\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −27.2826 | + | 13.6698i | −0.885630 | + | 0.443740i | ||||
\(950\) | 19.1390 | − | 33.1497i | 0.620950 | − | 1.07552i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −12.3326 | + | 1.03884i | −0.399703 | + | 0.0336691i | ||||
\(953\) | −8.36687 | + | 14.4919i | −0.271030 | + | 0.469437i | −0.969126 | − | 0.246567i | \(-0.920697\pi\) |
0.698096 | + | 0.716004i | \(0.254031\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 8.52999 | 0.276024 | ||||||||
\(956\) | −9.05495 | −0.292858 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −11.5569 | + | 20.0171i | −0.373386 | + | 0.646723i | ||||
\(959\) | 39.7239 | − | 3.34616i | 1.28275 | − | 0.108053i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −24.2894 | + | 42.0704i | −0.783528 | + | 1.35711i | ||||
\(962\) | 0.830706 | − | 14.0357i | 0.0267830 | − | 0.452530i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 20.1102 | 0.647705 | ||||||||
\(965\) | −6.17012 | − | 10.6870i | −0.198623 | − | 0.344025i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −3.01759 | −0.0970392 | −0.0485196 | − | 0.998822i | \(-0.515450\pi\) | ||||
−0.0485196 | + | 0.998822i | \(0.515450\pi\) | |||||||
\(968\) | 15.0301 | + | 26.0329i | 0.483085 | + | 0.836728i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 17.2783 | + | 29.9269i | 0.554774 | + | 0.960896i | ||||
\(971\) | 12.8401 | + | 22.2397i | 0.412058 | + | 0.713706i | 0.995115 | − | 0.0987260i | \(-0.0314767\pi\) |
−0.583057 | + | 0.812432i | \(0.698143\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −15.8191 | + | 33.6400i | −0.507136 | + | 1.07845i | ||||
\(974\) | 16.2740 | 0.521453 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −4.67781 | − | 8.10220i | −0.149733 | − | 0.259345i | ||||
\(977\) | −20.3251 | + | 35.2041i | −0.650258 | + | 1.12628i | 0.332802 | + | 0.942997i | \(0.392006\pi\) |
−0.983060 | + | 0.183283i | \(0.941327\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 22.4515 | − | 38.8871i | 0.717552 | − | 1.24284i | ||||
\(980\) | −8.54799 | + | 23.0217i | −0.273056 | + | 0.735400i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −19.0299 | − | 32.9608i | −0.607270 | − | 1.05182i | ||||
\(983\) | 2.39794 | + | 4.15335i | 0.0764823 | + | 0.132471i | 0.901730 | − | 0.432300i | \(-0.142298\pi\) |
−0.825248 | + | 0.564771i | \(0.808964\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 8.11813 | 0.258665 | ||||||||
\(986\) | 5.75525 | + | 9.96838i | 0.183284 | + | 0.317458i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 16.8857 | − | 8.46047i | 0.537205 | − | 0.269163i | ||||
\(989\) | −2.58916 | + | 4.48456i | −0.0823306 | + | 0.142601i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 19.5715 | − | 33.8989i | 0.621710 | − | 1.07683i | −0.367457 | − | 0.930040i | \(-0.619772\pi\) |
0.989167 | − | 0.146793i | \(-0.0468951\pi\) | |||||||
\(992\) | −4.46035 | − | 7.72555i | −0.141616 | − | 0.245286i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −6.29005 | + | 13.3761i | −0.199508 | + | 0.424264i | ||||
\(995\) | −9.98901 | + | 17.3015i | −0.316673 | + | 0.548494i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −57.4491 | −1.81943 | −0.909716 | − | 0.415232i | \(-0.863701\pi\) | ||||
−0.909716 | + | 0.415232i | \(0.863701\pi\) | |||||||
\(998\) | −17.1178 | + | 29.6489i | −0.541854 | + | 0.938518i | ||||
\(999\) | 0 | 0 |
(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 | 1638.2.m.h.289.1 | 8 | ||
3.2 | odd | 2 | 546.2.j.c.289.4 | ✓ | 8 | ||
7.4 | even | 3 | 1638.2.p.h.991.1 | 8 | |||
13.9 | even | 3 | 1638.2.p.h.919.1 | 8 | |||
21.11 | odd | 6 | 546.2.k.c.445.4 | yes | 8 | ||
39.35 | odd | 6 | 546.2.k.c.373.4 | yes | 8 | ||
91.74 | even | 3 | inner | 1638.2.m.h.1621.1 | 8 | ||
273.74 | odd | 6 | 546.2.j.c.529.4 | yes | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.j.c.289.4 | ✓ | 8 | 3.2 | odd | 2 | ||
546.2.j.c.529.4 | yes | 8 | 273.74 | odd | 6 | ||
546.2.k.c.373.4 | yes | 8 | 39.35 | odd | 6 | ||
546.2.k.c.445.4 | yes | 8 | 21.11 | odd | 6 | ||
1638.2.m.h.289.1 | 8 | 1.1 | even | 1 | trivial | ||
1638.2.m.h.1621.1 | 8 | 91.74 | even | 3 | inner | ||
1638.2.p.h.919.1 | 8 | 13.9 | even | 3 | |||
1638.2.p.h.991.1 | 8 | 7.4 | even | 3 |