Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(68,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.68");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.r (of order \(6\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 68.13 | ||
Character | \(\chi\) | \(=\) | 273.68 |
Dual form | 273.2.r.b.269.20 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 0.843135i | − | 0.596187i | −0.954537 | − | 0.298093i | \(-0.903649\pi\) | ||
0.954537 | − | 0.298093i | \(-0.0963507\pi\) | |||||||
\(3\) | 0.346738 | − | 1.69699i | 0.200189 | − | 0.979757i | ||||
\(4\) | 1.28912 | 0.644561 | ||||||||
\(5\) | −1.06280 | + | 1.84082i | −0.475297 | + | 0.823239i | −0.999600 | − | 0.0282929i | \(-0.990993\pi\) |
0.524302 | + | 0.851532i | \(0.324326\pi\) | |||||||
\(6\) | −1.43079 | − | 0.292347i | −0.584118 | − | 0.119350i | ||||
\(7\) | 2.34470 | − | 1.22572i | 0.886213 | − | 0.463278i | ||||
\(8\) | − | 2.77318i | − | 0.980466i | ||||||
\(9\) | −2.75955 | − | 1.17682i | −0.919849 | − | 0.392273i | ||||
\(10\) | 1.55206 | + | 0.896082i | 0.490804 | + | 0.283366i | ||||
\(11\) | −0.855509 | − | 0.493928i | −0.257946 | − | 0.148925i | 0.365451 | − | 0.930830i | \(-0.380915\pi\) |
−0.623397 | + | 0.781905i | \(0.714248\pi\) | |||||||
\(12\) | 0.446987 | − | 2.18763i | 0.129034 | − | 0.631514i | ||||
\(13\) | 3.08300 | − | 1.86952i | 0.855070 | − | 0.518512i | ||||
\(14\) | −1.03345 | − | 1.97690i | −0.276200 | − | 0.528348i | ||||
\(15\) | 2.75534 | + | 2.44184i | 0.711425 | + | 0.630480i | ||||
\(16\) | 0.240083 | 0.0600208 | ||||||||
\(17\) | 1.84105 | 0.446520 | 0.223260 | − | 0.974759i | \(-0.428330\pi\) | ||||
0.223260 | + | 0.974759i | \(0.428330\pi\) | |||||||
\(18\) | −0.992218 | + | 2.32667i | −0.233868 | + | 0.548402i | ||||
\(19\) | −6.19875 | + | 3.57885i | −1.42209 | + | 0.821044i | −0.996477 | − | 0.0838608i | \(-0.973275\pi\) |
−0.425613 | + | 0.904905i | \(0.639942\pi\) | |||||||
\(20\) | −1.37008 | + | 2.37304i | −0.306358 | + | 0.530628i | ||||
\(21\) | −1.26704 | − | 4.40393i | −0.276490 | − | 0.961017i | ||||
\(22\) | −0.416448 | + | 0.721310i | −0.0887871 | + | 0.153784i | ||||
\(23\) | − | 1.62700i | − | 0.339254i | −0.985508 | − | 0.169627i | \(-0.945744\pi\) | ||
0.985508 | − | 0.169627i | \(-0.0542563\pi\) | |||||||
\(24\) | −4.70605 | − | 0.961564i | −0.960618 | − | 0.196278i | ||||
\(25\) | 0.240923 | + | 0.417291i | 0.0481846 | + | 0.0834582i | ||||
\(26\) | −1.57626 | − | 2.59939i | −0.309130 | − | 0.509781i | ||||
\(27\) | −2.95389 | + | 4.27487i | −0.568476 | + | 0.822700i | ||||
\(28\) | 3.02260 | − | 1.58010i | 0.571219 | − | 0.298611i | ||||
\(29\) | −0.488355 | + | 0.281952i | −0.0906852 | + | 0.0523571i | −0.544657 | − | 0.838659i | \(-0.683340\pi\) |
0.453972 | + | 0.891016i | \(0.350007\pi\) | |||||||
\(30\) | 2.05880 | − | 2.32312i | 0.375884 | − | 0.424142i | ||||
\(31\) | −4.23375 | + | 2.44435i | −0.760403 | + | 0.439019i | −0.829440 | − | 0.558595i | \(-0.811341\pi\) |
0.0690374 | + | 0.997614i | \(0.478007\pi\) | |||||||
\(32\) | − | 5.74877i | − | 1.01625i | ||||||
\(33\) | −1.13483 | + | 1.28053i | −0.197548 | + | 0.222911i | ||||
\(34\) | − | 1.55226i | − | 0.266210i | ||||||
\(35\) | −0.235611 | + | 5.61886i | −0.0398256 | + | 0.949760i | ||||
\(36\) | −3.55739 | − | 1.51707i | −0.592899 | − | 0.252844i | ||||
\(37\) | 3.29157 | 0.541130 | 0.270565 | − | 0.962702i | \(-0.412789\pi\) | ||||
0.270565 | + | 0.962702i | \(0.412789\pi\) | |||||||
\(38\) | 3.01745 | + | 5.22638i | 0.489496 | + | 0.847831i | ||||
\(39\) | −2.10357 | − | 5.88005i | −0.336841 | − | 0.941562i | ||||
\(40\) | 5.10491 | + | 2.94732i | 0.807158 | + | 0.466013i | ||||
\(41\) | 4.93559 | + | 8.54870i | 0.770810 | + | 1.33508i | 0.937120 | + | 0.349008i | \(0.113482\pi\) |
−0.166310 | + | 0.986074i | \(0.553185\pi\) | |||||||
\(42\) | −3.71311 | + | 1.06828i | −0.572945 | + | 0.164840i | ||||
\(43\) | −0.214038 | + | 0.370726i | −0.0326406 | + | 0.0565351i | −0.881884 | − | 0.471466i | \(-0.843725\pi\) |
0.849244 | + | 0.528001i | \(0.177058\pi\) | |||||||
\(44\) | −1.10286 | − | 0.636734i | −0.166262 | − | 0.0959913i | ||||
\(45\) | 5.09915 | − | 3.82910i | 0.760137 | − | 0.570809i | ||||
\(46\) | −1.37179 | −0.202259 | ||||||||
\(47\) | −6.40449 | + | 11.0929i | −0.934190 | + | 1.61807i | −0.158119 | + | 0.987420i | \(0.550543\pi\) |
−0.776071 | + | 0.630645i | \(0.782790\pi\) | |||||||
\(48\) | 0.0832459 | − | 0.407419i | 0.0120155 | − | 0.0588059i | ||||
\(49\) | 3.99522 | − | 5.74789i | 0.570746 | − | 0.821127i | ||||
\(50\) | 0.351833 | − | 0.203131i | 0.0497567 | − | 0.0287270i | ||||
\(51\) | 0.638362 | − | 3.12424i | 0.0893885 | − | 0.437482i | ||||
\(52\) | 3.97436 | − | 2.41004i | 0.551145 | − | 0.334213i | ||||
\(53\) | 6.59657 | − | 3.80853i | 0.906109 | − | 0.523142i | 0.0269320 | − | 0.999637i | \(-0.491426\pi\) |
0.879177 | + | 0.476495i | \(0.158093\pi\) | |||||||
\(54\) | 3.60430 | + | 2.49053i | 0.490483 | + | 0.338918i | ||||
\(55\) | 1.81847 | − | 1.04989i | 0.245202 | − | 0.141567i | ||||
\(56\) | −3.39914 | − | 6.50226i | −0.454229 | − | 0.868901i | ||||
\(57\) | 3.92393 | + | 11.7601i | 0.519737 | + | 1.55767i | ||||
\(58\) | 0.237723 | + | 0.411749i | 0.0312146 | + | 0.0540653i | ||||
\(59\) | 11.9264 | 1.55268 | 0.776342 | − | 0.630312i | \(-0.217073\pi\) | ||||
0.776342 | + | 0.630312i | \(0.217073\pi\) | |||||||
\(60\) | 3.55197 | + | 3.14783i | 0.458557 | + | 0.406383i | ||||
\(61\) | 1.92009 | − | 1.10857i | 0.245843 | − | 0.141937i | −0.372016 | − | 0.928226i | \(-0.621333\pi\) |
0.617859 | + | 0.786289i | \(0.288000\pi\) | |||||||
\(62\) | 2.06092 | + | 3.56962i | 0.261737 | + | 0.453342i | ||||
\(63\) | −7.91276 | + | 0.623142i | −0.996913 | + | 0.0785085i | ||||
\(64\) | −4.36683 | −0.545853 | ||||||||
\(65\) | 0.164850 | + | 7.66217i | 0.0204471 | + | 0.950375i | ||||
\(66\) | 1.07966 | + | 0.956814i | 0.132897 | + | 0.117776i | ||||
\(67\) | 1.22692 | − | 2.12509i | 0.149892 | − | 0.259621i | −0.781295 | − | 0.624162i | \(-0.785441\pi\) |
0.931188 | + | 0.364540i | \(0.118774\pi\) | |||||||
\(68\) | 2.37334 | 0.287810 | ||||||||
\(69\) | −2.76101 | − | 0.564144i | −0.332387 | − | 0.0679149i | ||||
\(70\) | 4.73746 | + | 0.198652i | 0.566234 | + | 0.0237435i | ||||
\(71\) | −2.48976 | − | 1.43746i | −0.295480 | − | 0.170596i | 0.344930 | − | 0.938628i | \(-0.387903\pi\) |
−0.640411 | + | 0.768033i | \(0.721236\pi\) | |||||||
\(72\) | −3.26353 | + | 7.65271i | −0.384611 | + | 0.901880i | ||||
\(73\) | −8.31343 | + | 4.79976i | −0.973013 | + | 0.561769i | −0.900154 | − | 0.435573i | \(-0.856546\pi\) |
−0.0728598 | + | 0.997342i | \(0.523213\pi\) | |||||||
\(74\) | − | 2.77524i | − | 0.322615i | ||||||
\(75\) | 0.791675 | − | 0.264153i | 0.0914148 | − | 0.0305018i | ||||
\(76\) | −7.99095 | + | 4.61358i | −0.916625 | + | 0.529214i | ||||
\(77\) | −2.61133 | − | 0.109499i | −0.297588 | − | 0.0124785i | ||||
\(78\) | −4.95768 | + | 1.77359i | −0.561347 | + | 0.200820i | ||||
\(79\) | −7.27556 | + | 12.6016i | −0.818565 | + | 1.41780i | 0.0881750 | + | 0.996105i | \(0.471897\pi\) |
−0.906740 | + | 0.421691i | \(0.861437\pi\) | |||||||
\(80\) | −0.255160 | + | 0.441950i | −0.0285278 | + | 0.0494115i | ||||
\(81\) | 6.23019 | + | 6.49498i | 0.692243 | + | 0.721664i | ||||
\(82\) | 7.20771 | − | 4.16137i | 0.795958 | − | 0.459547i | ||||
\(83\) | −14.4620 | −1.58741 | −0.793707 | − | 0.608301i | \(-0.791851\pi\) | ||||
−0.793707 | + | 0.608301i | \(0.791851\pi\) | |||||||
\(84\) | −1.63337 | − | 5.67721i | −0.178215 | − | 0.619434i | ||||
\(85\) | −1.95666 | + | 3.38904i | −0.212230 | + | 0.367593i | ||||
\(86\) | 0.312572 | + | 0.180463i | 0.0337055 | + | 0.0194599i | ||||
\(87\) | 0.309138 | + | 0.926496i | 0.0331431 | + | 0.0993308i | ||||
\(88\) | −1.36975 | + | 2.37248i | −0.146016 | + | 0.252907i | ||||
\(89\) | 5.18724 | 0.549846 | 0.274923 | − | 0.961466i | \(-0.411348\pi\) | ||||
0.274923 | + | 0.961466i | \(0.411348\pi\) | |||||||
\(90\) | −3.22845 | − | 4.29927i | −0.340309 | − | 0.453183i | ||||
\(91\) | 4.93719 | − | 8.16236i | 0.517558 | − | 0.855648i | ||||
\(92\) | − | 2.09741i | − | 0.218670i | ||||||
\(93\) | 2.68004 | + | 8.03217i | 0.277908 | + | 0.832897i | ||||
\(94\) | 9.35281 | + | 5.39985i | 0.964669 | + | 0.556952i | ||||
\(95\) | − | 15.2144i | − | 1.56096i | ||||||
\(96\) | −9.75561 | − | 1.99332i | −0.995678 | − | 0.203442i | ||||
\(97\) | −0.172790 | − | 0.0997601i | −0.0175441 | − | 0.0101291i | 0.491202 | − | 0.871046i | \(-0.336558\pi\) |
−0.508746 | + | 0.860916i | \(0.669891\pi\) | |||||||
\(98\) | −4.84625 | − | 3.36851i | −0.489545 | − | 0.340271i | ||||
\(99\) | 1.77955 | + | 2.36980i | 0.178852 | + | 0.238174i | ||||
\(100\) | 0.310579 | + | 0.537939i | 0.0310579 | + | 0.0537939i | ||||
\(101\) | 3.00678 | − | 5.20790i | 0.299186 | − | 0.518205i | −0.676764 | − | 0.736200i | \(-0.736618\pi\) |
0.975950 | + | 0.217995i | \(0.0699516\pi\) | |||||||
\(102\) | −2.63416 | − | 0.538225i | −0.260821 | − | 0.0532922i | ||||
\(103\) | 8.42274 | + | 4.86287i | 0.829917 | + | 0.479153i | 0.853824 | − | 0.520561i | \(-0.174277\pi\) |
−0.0239072 | + | 0.999714i | \(0.507611\pi\) | |||||||
\(104\) | −5.18451 | − | 8.54970i | −0.508384 | − | 0.838367i | ||||
\(105\) | 9.45345 | + | 2.34810i | 0.922562 | + | 0.229151i | ||||
\(106\) | −3.21111 | − | 5.56181i | −0.311891 | − | 0.540210i | ||||
\(107\) | 0.614704i | 0.0594257i | 0.999558 | + | 0.0297128i | \(0.00945928\pi\) | ||||
−0.999558 | + | 0.0297128i | \(0.990541\pi\) | |||||||
\(108\) | −3.80793 | + | 5.51084i | −0.366418 | + | 0.530280i | ||||
\(109\) | −5.78829 | − | 10.0256i | −0.554418 | − | 0.960280i | −0.997949 | − | 0.0640208i | \(-0.979608\pi\) |
0.443531 | − | 0.896259i | \(-0.353726\pi\) | |||||||
\(110\) | −0.885200 | − | 1.53321i | −0.0844005 | − | 0.146186i | ||||
\(111\) | 1.14131 | − | 5.58575i | 0.108328 | − | 0.530176i | ||||
\(112\) | 0.562923 | − | 0.294275i | 0.0531912 | − | 0.0278064i | ||||
\(113\) | 6.10760 | + | 3.52622i | 0.574554 | + | 0.331719i | 0.758966 | − | 0.651130i | \(-0.225705\pi\) |
−0.184412 | + | 0.982849i | \(0.559038\pi\) | |||||||
\(114\) | 9.91538 | − | 3.30840i | 0.928661 | − | 0.309860i | ||||
\(115\) | 2.99502 | + | 1.72918i | 0.279287 | + | 0.161247i | ||||
\(116\) | −0.629549 | + | 0.363470i | −0.0584522 | + | 0.0337474i | ||||
\(117\) | −10.7078 | + | 1.53090i | −0.989934 | + | 0.141532i | ||||
\(118\) | − | 10.0556i | − | 0.925690i | ||||||
\(119\) | 4.31671 | − | 2.25661i | 0.395712 | − | 0.206863i | ||||
\(120\) | 6.77164 | − | 7.64104i | 0.618164 | − | 0.697528i | ||||
\(121\) | −5.01207 | − | 8.68116i | −0.455643 | − | 0.789196i | ||||
\(122\) | −0.934672 | − | 1.61890i | −0.0846212 | − | 0.146568i | ||||
\(123\) | 16.2184 | − | 5.41149i | 1.46236 | − | 0.487938i | ||||
\(124\) | −5.45782 | + | 3.15107i | −0.490127 | + | 0.282975i | ||||
\(125\) | −11.6522 | −1.04220 | ||||||||
\(126\) | 0.525393 | + | 6.67152i | 0.0468057 | + | 0.594347i | ||||
\(127\) | −5.43519 | − | 9.41402i | −0.482295 | − | 0.835359i | 0.517499 | − | 0.855684i | \(-0.326863\pi\) |
−0.999793 | + | 0.0203250i | \(0.993530\pi\) | |||||||
\(128\) | − | 7.81572i | − | 0.690819i | ||||||
\(129\) | 0.554902 | + | 0.491766i | 0.0488564 | + | 0.0432975i | ||||
\(130\) | 6.46024 | − | 0.138990i | 0.566601 | − | 0.0121903i | ||||
\(131\) | 8.66948 | − | 15.0160i | 0.757456 | − | 1.31195i | −0.186688 | − | 0.982419i | \(-0.559775\pi\) |
0.944144 | − | 0.329533i | \(-0.106891\pi\) | |||||||
\(132\) | −1.46293 | + | 1.65076i | −0.127332 | + | 0.143680i | ||||
\(133\) | −10.1475 | + | 15.9893i | −0.879903 | + | 1.38644i | ||||
\(134\) | −1.79174 | − | 1.03446i | −0.154783 | − | 0.0893639i | ||||
\(135\) | −4.72988 | − | 9.98090i | −0.407083 | − | 0.859019i | ||||
\(136\) | − | 5.10556i | − | 0.437798i | ||||||
\(137\) | 12.7597i | 1.09014i | 0.838392 | + | 0.545068i | \(0.183496\pi\) | ||||
−0.838392 | + | 0.545068i | \(0.816504\pi\) | |||||||
\(138\) | −0.475650 | + | 2.32791i | −0.0404900 | + | 0.198164i | ||||
\(139\) | −13.6009 | − | 7.85246i | −1.15361 | − | 0.666037i | −0.203846 | − | 0.979003i | \(-0.565344\pi\) |
−0.949764 | + | 0.312966i | \(0.898678\pi\) | |||||||
\(140\) | −0.303732 | + | 7.24340i | −0.0256700 | + | 0.612179i | ||||
\(141\) | 16.6039 | + | 14.7147i | 1.39830 | + | 1.23920i | ||||
\(142\) | −1.21198 | + | 2.09921i | −0.101707 | + | 0.176161i | ||||
\(143\) | −3.56094 | + | 0.0766127i | −0.297781 | + | 0.00640668i | ||||
\(144\) | −0.662521 | − | 0.282535i | −0.0552101 | − | 0.0235446i | ||||
\(145\) | − | 1.19863i | − | 0.0995408i | ||||||
\(146\) | 4.04685 | + | 7.00935i | 0.334920 | + | 0.580098i | ||||
\(147\) | −8.36881 | − | 8.77286i | −0.690248 | − | 0.723573i | ||||
\(148\) | 4.24323 | 0.348792 | ||||||||
\(149\) | −6.51483 | + | 3.76134i | −0.533715 | + | 0.308141i | −0.742528 | − | 0.669815i | \(-0.766373\pi\) |
0.208813 | + | 0.977956i | \(0.433040\pi\) | |||||||
\(150\) | −0.222717 | − | 0.667490i | −0.0181848 | − | 0.0545003i | ||||
\(151\) | 1.77190 | + | 3.06902i | 0.144195 | + | 0.249753i | 0.929072 | − | 0.369898i | \(-0.120607\pi\) |
−0.784877 | + | 0.619651i | \(0.787274\pi\) | |||||||
\(152\) | 9.92478 | + | 17.1902i | 0.805006 | + | 1.39431i | ||||
\(153\) | −5.08047 | − | 2.16659i | −0.410731 | − | 0.175158i | ||||
\(154\) | −0.0923223 | + | 2.20170i | −0.00743954 | + | 0.177418i | ||||
\(155\) | − | 10.3914i | − | 0.834658i | ||||||
\(156\) | −2.71176 | − | 7.58011i | −0.217114 | − | 0.606894i | ||||
\(157\) | −12.7221 | + | 7.34511i | −1.01533 | + | 0.586204i | −0.912749 | − | 0.408521i | \(-0.866045\pi\) |
−0.102585 | + | 0.994724i | \(0.532711\pi\) | |||||||
\(158\) | 10.6249 | + | 6.13428i | 0.845271 | + | 0.488017i | ||||
\(159\) | −4.17576 | − | 12.5149i | −0.331159 | − | 0.992495i | ||||
\(160\) | 10.5825 | + | 6.10978i | 0.836616 | + | 0.483021i | ||||
\(161\) | −1.99425 | − | 3.81484i | −0.157169 | − | 0.300651i | ||||
\(162\) | 5.47615 | − | 5.25289i | 0.430247 | − | 0.412706i | ||||
\(163\) | −0.446786 | − | 0.773855i | −0.0349949 | − | 0.0606130i | 0.847997 | − | 0.530000i | \(-0.177808\pi\) |
−0.882992 | + | 0.469387i | \(0.844475\pi\) | |||||||
\(164\) | 6.36258 | + | 11.0203i | 0.496834 | + | 0.860542i | ||||
\(165\) | −1.15112 | − | 3.44995i | −0.0896149 | − | 0.268578i | ||||
\(166\) | 12.1934i | 0.946395i | ||||||||
\(167\) | −2.80871 | − | 4.86483i | −0.217345 | − | 0.376452i | 0.736651 | − | 0.676274i | \(-0.236406\pi\) |
−0.953995 | + | 0.299821i | \(0.903073\pi\) | |||||||
\(168\) | −12.2129 | + | 3.51372i | −0.942244 | + | 0.271089i | ||||
\(169\) | 6.00977 | − | 11.5275i | 0.462290 | − | 0.886729i | ||||
\(170\) | 2.85742 | + | 1.64973i | 0.219154 | + | 0.126529i | ||||
\(171\) | 21.3174 | − | 2.58119i | 1.63018 | − | 0.197388i | ||||
\(172\) | −0.275922 | + | 0.477911i | −0.0210388 | + | 0.0364404i | ||||
\(173\) | −7.20865 | − | 12.4858i | −0.548064 | − | 0.949274i | −0.998407 | − | 0.0564189i | \(-0.982032\pi\) |
0.450343 | − | 0.892855i | \(-0.351302\pi\) | |||||||
\(174\) | 0.781161 | − | 0.260645i | 0.0592197 | − | 0.0197595i | ||||
\(175\) | 1.07637 | + | 0.683117i | 0.0813662 | + | 0.0516388i | ||||
\(176\) | −0.205393 | − | 0.118584i | −0.0154821 | − | 0.00893860i | ||||
\(177\) | 4.13533 | − | 20.2390i | 0.310830 | − | 1.52125i | ||||
\(178\) | − | 4.37355i | − | 0.327811i | ||||||
\(179\) | −19.3121 | − | 11.1499i | −1.44346 | − | 0.833380i | −0.445378 | − | 0.895342i | \(-0.646931\pi\) |
−0.998079 | + | 0.0619621i | \(0.980264\pi\) | |||||||
\(180\) | 6.57343 | − | 4.93619i | 0.489955 | − | 0.367922i | ||||
\(181\) | 6.26949i | 0.466007i | 0.972476 | + | 0.233004i | \(0.0748554\pi\) | ||||
−0.972476 | + | 0.233004i | \(0.925145\pi\) | |||||||
\(182\) | −6.88197 | − | 4.16272i | −0.510126 | − | 0.308561i | ||||
\(183\) | −1.21546 | − | 3.64276i | −0.0898492 | − | 0.269281i | ||||
\(184\) | −4.51197 | −0.332627 | ||||||||
\(185\) | −3.49827 | + | 6.05918i | −0.257198 | + | 0.445480i | ||||
\(186\) | 6.77221 | − | 2.25964i | 0.496562 | − | 0.165685i | ||||
\(187\) | −1.57504 | − | 0.909347i | −0.115178 | − | 0.0664980i | ||||
\(188\) | −8.25617 | + | 14.3001i | −0.602143 | + | 1.04294i | ||||
\(189\) | −1.68618 | + | 13.6439i | −0.122652 | + | 0.992450i | ||||
\(190\) | −12.8278 | −0.930624 | ||||||||
\(191\) | 4.27245 | − | 2.46670i | 0.309143 | − | 0.178484i | −0.337400 | − | 0.941361i | \(-0.609547\pi\) |
0.646543 | + | 0.762877i | \(0.276214\pi\) | |||||||
\(192\) | −1.51414 | + | 7.41046i | −0.109274 | + | 0.534804i | ||||
\(193\) | 2.69080 | − | 4.66060i | 0.193688 | − | 0.335477i | −0.752782 | − | 0.658270i | \(-0.771288\pi\) |
0.946470 | + | 0.322793i | \(0.104622\pi\) | |||||||
\(194\) | −0.0841113 | + | 0.145685i | −0.00603884 | + | 0.0104596i | ||||
\(195\) | 13.0598 | + | 2.37701i | 0.935230 | + | 0.170221i | ||||
\(196\) | 5.15033 | − | 7.40973i | 0.367881 | − | 0.529267i | ||||
\(197\) | −1.73936 | + | 1.00422i | −0.123924 | + | 0.0715477i | −0.560681 | − | 0.828032i | \(-0.689460\pi\) |
0.436756 | + | 0.899580i | \(0.356127\pi\) | |||||||
\(198\) | 1.99806 | − | 1.50040i | 0.141996 | − | 0.106629i | ||||
\(199\) | 1.88370i | 0.133532i | 0.997769 | + | 0.0667659i | \(0.0212681\pi\) | ||||
−0.997769 | + | 0.0667659i | \(0.978732\pi\) | |||||||
\(200\) | 1.15722 | − | 0.668122i | 0.0818279 | − | 0.0472434i | ||||
\(201\) | −3.18084 | − | 2.81892i | −0.224359 | − | 0.198832i | ||||
\(202\) | −4.39096 | − | 2.53512i | −0.308947 | − | 0.178371i | ||||
\(203\) | −0.799451 | + | 1.25968i | −0.0561104 | + | 0.0884120i | ||||
\(204\) | 0.822926 | − | 4.02753i | 0.0576164 | − | 0.281984i | ||||
\(205\) | −20.9821 | −1.46546 | ||||||||
\(206\) | 4.10006 | − | 7.10151i | 0.285665 | − | 0.494786i | ||||
\(207\) | −1.91469 | + | 4.48980i | −0.133080 | + | 0.312062i | ||||
\(208\) | 0.740177 | − | 0.448841i | 0.0513220 | − | 0.0311215i | ||||
\(209\) | 7.07078 | 0.489096 | ||||||||
\(210\) | 1.97977 | − | 7.97054i | 0.136617 | − | 0.550019i | ||||
\(211\) | 3.68771 | + | 6.38731i | 0.253873 | + | 0.439720i | 0.964589 | − | 0.263759i | \(-0.0849623\pi\) |
−0.710716 | + | 0.703479i | \(0.751629\pi\) | |||||||
\(212\) | 8.50380 | − | 4.90967i | 0.584043 | − | 0.337197i | ||||
\(213\) | −3.30266 | + | 3.72668i | −0.226294 | + | 0.255348i | ||||
\(214\) | 0.518279 | 0.0354288 | ||||||||
\(215\) | −0.454959 | − | 0.788012i | −0.0310280 | − | 0.0537420i | ||||
\(216\) | 11.8550 | + | 8.19165i | 0.806629 | + | 0.557371i | ||||
\(217\) | −6.93076 | + | 10.9207i | −0.470491 | + | 0.741343i | ||||
\(218\) | −8.45295 | + | 4.88031i | −0.572506 | + | 0.330537i | ||||
\(219\) | 5.26256 | + | 15.7721i | 0.355611 | + | 1.06578i | ||||
\(220\) | 2.34422 | − | 1.35344i | 0.158048 | − | 0.0912488i | ||||
\(221\) | 5.67596 | − | 3.44189i | 0.381806 | − | 0.231526i | ||||
\(222\) | −4.70955 | − | 0.962279i | −0.316084 | − | 0.0645839i | ||||
\(223\) | −1.19481 | + | 0.689825i | −0.0800106 | + | 0.0461941i | −0.539472 | − | 0.842004i | \(-0.681376\pi\) |
0.459461 | + | 0.888198i | \(0.348043\pi\) | |||||||
\(224\) | −7.04639 | − | 13.4791i | −0.470806 | − | 0.900613i | ||||
\(225\) | −0.173762 | − | 1.43506i | −0.0115841 | − | 0.0956705i | ||||
\(226\) | 2.97308 | − | 5.14953i | 0.197767 | − | 0.342542i | ||||
\(227\) | 2.98238 | 0.197947 | 0.0989736 | − | 0.995090i | \(-0.468444\pi\) | ||||
0.0989736 | + | 0.995090i | \(0.468444\pi\) | |||||||
\(228\) | 5.05843 | + | 15.1603i | 0.335003 | + | 1.00401i | ||||
\(229\) | 10.3410 | + | 5.97040i | 0.683355 | + | 0.394535i | 0.801118 | − | 0.598506i | \(-0.204239\pi\) |
−0.117763 | + | 0.993042i | \(0.537572\pi\) | |||||||
\(230\) | 1.45793 | − | 2.52521i | 0.0961331 | − | 0.166507i | ||||
\(231\) | −1.09126 | + | 4.39343i | −0.0717999 | + | 0.289066i | ||||
\(232\) | 0.781902 | + | 1.35429i | 0.0513343 | + | 0.0889137i | ||||
\(233\) | 14.3523 | + | 8.28630i | 0.940250 | + | 0.542854i | 0.890039 | − | 0.455885i | \(-0.150677\pi\) |
0.0502115 | + | 0.998739i | \(0.484010\pi\) | |||||||
\(234\) | 1.29076 | + | 9.02810i | 0.0843793 | + | 0.590185i | ||||
\(235\) | −13.6133 | − | 23.5790i | −0.888037 | − | 1.53812i | ||||
\(236\) | 15.3746 | 1.00080 | ||||||||
\(237\) | 18.8621 | + | 16.7160i | 1.22523 | + | 1.08582i | ||||
\(238\) | −1.90263 | − | 3.63957i | −0.123329 | − | 0.235918i | ||||
\(239\) | 29.6350i | 1.91693i | 0.285211 | + | 0.958465i | \(0.407936\pi\) | ||||
−0.285211 | + | 0.958465i | \(0.592064\pi\) | |||||||
\(240\) | 0.661511 | + | 0.586245i | 0.0427004 | + | 0.0378419i | ||||
\(241\) | − | 18.1245i | − | 1.16750i | −0.811933 | − | 0.583750i | \(-0.801585\pi\) | ||
0.811933 | − | 0.583750i | \(-0.198415\pi\) | |||||||
\(242\) | −7.31939 | + | 4.22585i | −0.470508 | + | 0.271648i | ||||
\(243\) | 13.1821 | − | 8.32051i | 0.845635 | − | 0.533761i | ||||
\(244\) | 2.47524 | − | 1.42908i | 0.158461 | − | 0.0914874i | ||||
\(245\) | 6.33471 | + | 13.4633i | 0.404710 | + | 0.860140i | ||||
\(246\) | −4.56262 | − | 13.6743i | −0.290902 | − | 0.871842i | ||||
\(247\) | −12.4200 | + | 22.6223i | −0.790266 | + | 1.43942i | ||||
\(248\) | 6.77862 | + | 11.7409i | 0.430443 | + | 0.745549i | ||||
\(249\) | −5.01453 | + | 24.5419i | −0.317783 | + | 1.55528i | ||||
\(250\) | 9.82437i | 0.621348i | ||||||||
\(251\) | 3.79901 | − | 6.58007i | 0.239791 | − | 0.415330i | −0.720863 | − | 0.693077i | \(-0.756254\pi\) |
0.960654 | + | 0.277747i | \(0.0895877\pi\) | |||||||
\(252\) | −10.2005 | + | 0.803307i | −0.642572 | + | 0.0506036i | ||||
\(253\) | −0.803624 | + | 1.39192i | −0.0505234 | + | 0.0875091i | ||||
\(254\) | −7.93729 | + | 4.58260i | −0.498030 | + | 0.287538i | ||||
\(255\) | 5.07272 | + | 4.49555i | 0.317666 | + | 0.281522i | ||||
\(256\) | −15.3234 | −0.957710 | ||||||||
\(257\) | −23.7009 | −1.47842 | −0.739212 | − | 0.673473i | \(-0.764802\pi\) | ||||
−0.739212 | + | 0.673473i | \(0.764802\pi\) | |||||||
\(258\) | 0.414625 | − | 0.467858i | 0.0258134 | − | 0.0291275i | ||||
\(259\) | 7.71773 | − | 4.03454i | 0.479556 | − | 0.250694i | ||||
\(260\) | 0.212511 | + | 9.87748i | 0.0131794 | + | 0.612575i | ||||
\(261\) | 1.67944 | − | 0.203353i | 0.103955 | − | 0.0125872i | ||||
\(262\) | −12.6605 | − | 7.30954i | −0.782168 | − | 0.451585i | ||||
\(263\) | 15.2086 | + | 8.78068i | 0.937801 | + | 0.541440i | 0.889270 | − | 0.457382i | \(-0.151213\pi\) |
0.0485307 | + | 0.998822i | \(0.484546\pi\) | |||||||
\(264\) | 3.55112 | + | 3.14708i | 0.218557 | + | 0.193689i | ||||
\(265\) | 16.1908i | 0.994593i | ||||||||
\(266\) | 13.4811 | + | 8.55574i | 0.826579 | + | 0.524586i | ||||
\(267\) | 1.79861 | − | 8.80269i | 0.110073 | − | 0.538716i | ||||
\(268\) | 1.58165 | − | 2.73951i | 0.0966149 | − | 0.167342i | ||||
\(269\) | −23.7413 | −1.44753 | −0.723766 | − | 0.690045i | \(-0.757591\pi\) | ||||
−0.723766 | + | 0.690045i | \(0.757591\pi\) | |||||||
\(270\) | −8.41525 | + | 3.98793i | −0.512136 | + | 0.242698i | ||||
\(271\) | − | 30.3088i | − | 1.84113i | −0.390590 | − | 0.920565i | \(-0.627729\pi\) | ||
0.390590 | − | 0.920565i | \(-0.372271\pi\) | |||||||
\(272\) | 0.442006 | 0.0268005 | ||||||||
\(273\) | −12.1395 | − | 11.2086i | −0.734718 | − | 0.678373i | ||||
\(274\) | 10.7582 | 0.649925 | ||||||||
\(275\) | − | 0.475995i | − | 0.0287036i | ||||||
\(276\) | −3.55928 | − | 0.727251i | −0.214244 | − | 0.0437753i | ||||
\(277\) | 17.5811 | 1.05634 | 0.528172 | − | 0.849137i | \(-0.322878\pi\) | ||||
0.528172 | + | 0.849137i | \(0.322878\pi\) | |||||||
\(278\) | −6.62069 | + | 11.4674i | −0.397083 | + | 0.687767i | ||||
\(279\) | 14.5598 | − | 1.76295i | 0.871671 | − | 0.105545i | ||||
\(280\) | 15.5821 | + | 0.653392i | 0.931207 | + | 0.0390476i | ||||
\(281\) | − | 27.1501i | − | 1.61964i | −0.586680 | − | 0.809819i | \(-0.699565\pi\) | ||
0.586680 | − | 0.809819i | \(-0.300435\pi\) | |||||||
\(282\) | 12.4065 | − | 13.9993i | 0.738794 | − | 0.833646i | ||||
\(283\) | 6.20370 | + | 3.58171i | 0.368772 | + | 0.212910i | 0.672922 | − | 0.739714i | \(-0.265039\pi\) |
−0.304150 | + | 0.952624i | \(0.598372\pi\) | |||||||
\(284\) | −3.20961 | − | 1.85307i | −0.190455 | − | 0.109959i | ||||
\(285\) | −25.8186 | − | 5.27539i | −1.52936 | − | 0.312487i | ||||
\(286\) | 0.0645949 | + | 3.00236i | 0.00381958 | + | 0.177533i | ||||
\(287\) | 22.0508 | + | 13.9945i | 1.30162 | + | 0.826067i | ||||
\(288\) | −6.76527 | + | 15.8640i | −0.398647 | + | 0.934796i | ||||
\(289\) | −13.6105 | −0.800619 | ||||||||
\(290\) | −1.01061 | −0.0593449 | ||||||||
\(291\) | −0.229204 | + | 0.258631i | −0.0134362 | + | 0.0151612i | ||||
\(292\) | −10.7170 | + | 6.18748i | −0.627167 | + | 0.362095i | ||||
\(293\) | 11.3968 | − | 19.7398i | 0.665805 | − | 1.15321i | −0.313261 | − | 0.949667i | \(-0.601421\pi\) |
0.979066 | − | 0.203542i | \(-0.0652452\pi\) | |||||||
\(294\) | −7.39671 | + | 7.05604i | −0.431385 | + | 0.411516i | ||||
\(295\) | −12.6753 | + | 21.9543i | −0.737987 | + | 1.27823i | ||||
\(296\) | − | 9.12809i | − | 0.530560i | ||||||
\(297\) | 4.63856 | − | 2.19818i | 0.269156 | − | 0.127551i | ||||
\(298\) | 3.17132 | + | 5.49288i | 0.183709 | + | 0.318194i | ||||
\(299\) | −3.04172 | − | 5.01606i | −0.175907 | − | 0.290086i | ||||
\(300\) | 1.02057 | − | 0.340526i | 0.0589225 | − | 0.0196603i | ||||
\(301\) | −0.0474501 | + | 1.13159i | −0.00273498 | + | 0.0652238i | ||||
\(302\) | 2.58760 | − | 1.49395i | 0.148899 | − | 0.0859671i | ||||
\(303\) | −7.79519 | − | 6.90825i | −0.447822 | − | 0.396869i | ||||
\(304\) | −1.48822 | + | 0.859222i | −0.0853551 | + | 0.0492798i | ||||
\(305\) | 4.71273i | 0.269850i | ||||||||
\(306\) | −1.82672 | + | 4.28352i | −0.104427 | + | 0.244873i | ||||
\(307\) | − | 24.9738i | − | 1.42533i | −0.701504 | − | 0.712665i | \(-0.747488\pi\) | ||
0.701504 | − | 0.712665i | \(-0.252512\pi\) | |||||||
\(308\) | −3.36632 | − | 0.141157i | −0.191814 | − | 0.00804319i | ||||
\(309\) | 11.1727 | − | 12.6072i | 0.635594 | − | 0.717196i | ||||
\(310\) | −8.76137 | −0.497612 | ||||||||
\(311\) | −9.00463 | − | 15.5965i | −0.510606 | − | 0.884395i | −0.999924 | − | 0.0122902i | \(-0.996088\pi\) |
0.489319 | − | 0.872105i | \(-0.337246\pi\) | |||||||
\(312\) | −16.3064 | + | 5.83357i | −0.923169 | + | 0.330261i | ||||
\(313\) | 17.5542 | + | 10.1349i | 0.992223 | + | 0.572860i | 0.905938 | − | 0.423410i | \(-0.139167\pi\) |
0.0862849 | + | 0.996271i | \(0.472500\pi\) | |||||||
\(314\) | 6.19292 | + | 10.7265i | 0.349487 | + | 0.605329i | ||||
\(315\) | 7.26256 | − | 15.2282i | 0.409199 | − | 0.858013i | ||||
\(316\) | −9.37909 | + | 16.2451i | −0.527615 | + | 0.913856i | ||||
\(317\) | 8.12697 | + | 4.69211i | 0.456456 | + | 0.263535i | 0.710553 | − | 0.703644i | \(-0.248445\pi\) |
−0.254097 | + | 0.967179i | \(0.581778\pi\) | |||||||
\(318\) | −10.5517 | + | 3.52073i | −0.591712 | + | 0.197433i | ||||
\(319\) | 0.557056 | 0.0311891 | ||||||||
\(320\) | 4.64105 | − | 8.03854i | 0.259443 | − | 0.449368i | ||||
\(321\) | 1.04315 | + | 0.213141i | 0.0582228 | + | 0.0118964i | ||||
\(322\) | −3.21642 | + | 1.68142i | −0.179244 | + | 0.0937021i | ||||
\(323\) | −11.4122 | + | 6.58884i | −0.634993 | + | 0.366613i | ||||
\(324\) | 8.03148 | + | 8.37282i | 0.446193 | + | 0.465157i | ||||
\(325\) | 1.52290 | + | 0.836097i | 0.0844753 | + | 0.0463783i | ||||
\(326\) | −0.652465 | + | 0.376701i | −0.0361367 | + | 0.0208635i | ||||
\(327\) | −19.0204 | + | 6.34641i | −1.05183 | + | 0.350957i | ||||
\(328\) | 23.7070 | − | 13.6873i | 1.30900 | − | 0.755753i | ||||
\(329\) | −1.41981 | + | 33.8596i | −0.0782766 | + | 1.86674i | ||||
\(330\) | −2.90878 | + | 0.970553i | −0.160123 | + | 0.0534272i | ||||
\(331\) | 9.40426 | + | 16.2887i | 0.516905 | + | 0.895306i | 0.999807 | + | 0.0196317i | \(0.00624935\pi\) |
−0.482902 | + | 0.875674i | \(0.660417\pi\) | |||||||
\(332\) | −18.6433 | −1.02319 | ||||||||
\(333\) | −9.08323 | − | 3.87358i | −0.497758 | − | 0.212271i | ||||
\(334\) | −4.10171 | + | 2.36812i | −0.224436 | + | 0.129578i | ||||
\(335\) | 2.60794 | + | 4.51709i | 0.142487 | + | 0.246795i | ||||
\(336\) | −0.304195 | − | 1.05731i | −0.0165952 | − | 0.0576810i | ||||
\(337\) | 20.7828 | 1.13211 | 0.566056 | − | 0.824367i | \(-0.308469\pi\) | ||||
0.566056 | + | 0.824367i | \(0.308469\pi\) | |||||||
\(338\) | −9.71922 | − | 5.06705i | −0.528656 | − | 0.275611i | ||||
\(339\) | 8.10170 | − | 9.14185i | 0.440024 | − | 0.496517i | ||||
\(340\) | −2.52238 | + | 4.36889i | −0.136795 | + | 0.236936i | ||||
\(341\) | 4.82934 | 0.261524 | ||||||||
\(342\) | −2.17629 | − | 17.9734i | −0.117680 | − | 0.971893i | ||||
\(343\) | 2.32229 | − | 18.3741i | 0.125392 | − | 0.992107i | ||||
\(344\) | 1.02809 | + | 0.593566i | 0.0554307 | + | 0.0320030i | ||||
\(345\) | 3.97288 | − | 4.48295i | 0.213893 | − | 0.241354i | ||||
\(346\) | −10.5272 | + | 6.07787i | −0.565945 | + | 0.326748i | ||||
\(347\) | 2.62990i | 0.141180i | 0.997505 | + | 0.0705902i | \(0.0224883\pi\) | ||||
−0.997505 | + | 0.0705902i | \(0.977512\pi\) | |||||||
\(348\) | 0.398517 | + | 1.19437i | 0.0213628 | + | 0.0640248i | ||||
\(349\) | 2.04081 | − | 1.17826i | 0.109242 | − | 0.0630710i | −0.444383 | − | 0.895837i | \(-0.646577\pi\) |
0.553626 | + | 0.832766i | \(0.313244\pi\) | |||||||
\(350\) | 0.575960 | − | 0.907529i | 0.0307864 | − | 0.0485095i | ||||
\(351\) | −1.11487 | + | 18.7018i | −0.0595072 | + | 0.998228i | ||||
\(352\) | −2.83948 | + | 4.91813i | −0.151345 | + | 0.262137i | ||||
\(353\) | 11.3836 | − | 19.7170i | 0.605888 | − | 1.04943i | −0.386023 | − | 0.922489i | \(-0.626151\pi\) |
0.991911 | − | 0.126939i | \(-0.0405152\pi\) | |||||||
\(354\) | −17.0642 | − | 3.48664i | −0.906951 | − | 0.185313i | ||||
\(355\) | 5.29222 | − | 3.05547i | 0.280882 | − | 0.162167i | ||||
\(356\) | 6.68699 | 0.354410 | ||||||||
\(357\) | −2.33268 | − | 8.10786i | −0.123459 | − | 0.429114i | ||||
\(358\) | −9.40085 | + | 16.2827i | −0.496850 | + | 0.860570i | ||||
\(359\) | −5.83980 | − | 3.37161i | −0.308213 | − | 0.177947i | 0.337914 | − | 0.941177i | \(-0.390279\pi\) |
−0.646126 | + | 0.763230i | \(0.723612\pi\) | |||||||
\(360\) | −10.6188 | − | 14.1408i | −0.559659 | − | 0.745288i | ||||
\(361\) | 16.1163 | − | 27.9143i | 0.848228 | − | 1.46917i | ||||
\(362\) | 5.28602 | 0.277827 | ||||||||
\(363\) | −16.4697 | + | 5.49535i | −0.864436 | + | 0.288431i | ||||
\(364\) | 6.36465 | − | 10.5223i | 0.333598 | − | 0.551518i | ||||
\(365\) | − | 20.4047i | − | 1.06803i | ||||||
\(366\) | −3.07134 | + | 1.02480i | −0.160542 | + | 0.0535669i | ||||
\(367\) | 11.0644 | + | 6.38805i | 0.577559 | + | 0.333454i | 0.760163 | − | 0.649733i | \(-0.225119\pi\) |
−0.182604 | + | 0.983187i | \(0.558453\pi\) | |||||||
\(368\) | − | 0.390617i | − | 0.0203623i | ||||||
\(369\) | −3.55972 | − | 29.3988i | −0.185311 | − | 1.53044i | ||||
\(370\) | 5.10871 | + | 2.94951i | 0.265589 | + | 0.153338i | ||||
\(371\) | 10.7988 | − | 17.0154i | 0.560645 | − | 0.883396i | ||||
\(372\) | 3.45491 | + | 10.3545i | 0.179129 | + | 0.536853i | ||||
\(373\) | 12.8528 | + | 22.2617i | 0.665493 | + | 1.15267i | 0.979151 | + | 0.203132i | \(0.0651119\pi\) |
−0.313659 | + | 0.949536i | \(0.601555\pi\) | |||||||
\(374\) | −0.766703 | + | 1.32797i | −0.0396452 | + | 0.0686676i | ||||
\(375\) | −4.04025 | + | 19.7736i | −0.208638 | + | 1.02111i | ||||
\(376\) | 30.7625 | + | 17.7608i | 1.58646 | + | 0.915942i | ||||
\(377\) | −0.978482 | + | 1.78225i | −0.0503944 | + | 0.0917904i | ||||
\(378\) | 11.5037 | + | 1.42168i | 0.591685 | + | 0.0731234i | ||||
\(379\) | −15.2609 | − | 26.4326i | −0.783898 | − | 1.35775i | −0.929655 | − | 0.368431i | \(-0.879895\pi\) |
0.145757 | − | 0.989320i | \(-0.453438\pi\) | |||||||
\(380\) | − | 19.6132i | − | 1.00614i | ||||||
\(381\) | −17.8601 | + | 5.95926i | −0.914999 | + | 0.305302i | ||||
\(382\) | −2.07976 | − | 3.60225i | −0.106410 | − | 0.184307i | ||||
\(383\) | −4.14360 | − | 7.17693i | −0.211728 | − | 0.366724i | 0.740527 | − | 0.672026i | \(-0.234576\pi\) |
−0.952255 | + | 0.305302i | \(0.901242\pi\) | |||||||
\(384\) | −13.2632 | − | 2.71000i | −0.676835 | − | 0.138294i | ||||
\(385\) | 2.97688 | − | 4.69061i | 0.151716 | − | 0.239055i | ||||
\(386\) | −3.92951 | − | 2.26871i | −0.200007 | − | 0.115474i | ||||
\(387\) | 1.02693 | − | 0.771149i | 0.0522016 | − | 0.0391997i | ||||
\(388\) | −0.222747 | − | 0.128603i | −0.0113083 | − | 0.00652883i | ||||
\(389\) | −23.2193 | + | 13.4057i | −1.17727 | + | 0.679695i | −0.955381 | − | 0.295378i | \(-0.904555\pi\) |
−0.221886 | + | 0.975073i | \(0.571221\pi\) | |||||||
\(390\) | 2.00414 | − | 11.0112i | 0.101484 | − | 0.557572i | ||||
\(391\) | − | 2.99540i | − | 0.151484i | ||||||
\(392\) | −15.9399 | − | 11.0795i | −0.805086 | − | 0.559597i | ||||
\(393\) | −22.4759 | − | 19.9186i | −1.13376 | − | 1.00476i | ||||
\(394\) | 0.846693 | + | 1.46652i | 0.0426558 | + | 0.0738820i | ||||
\(395\) | −15.4649 | − | 26.7860i | −0.778124 | − | 1.34775i | ||||
\(396\) | 2.29406 | + | 3.05496i | 0.115281 | + | 0.153518i | ||||
\(397\) | −5.06386 | + | 2.92362i | −0.254148 | + | 0.146732i | −0.621662 | − | 0.783286i | \(-0.713542\pi\) |
0.367514 | + | 0.930018i | \(0.380209\pi\) | |||||||
\(398\) | 1.58821 | 0.0796099 | ||||||||
\(399\) | 23.6151 | + | 22.7643i | 1.18223 | + | 1.13964i | ||||
\(400\) | 0.0578416 | + | 0.100185i | 0.00289208 | + | 0.00500923i | ||||
\(401\) | 4.14953i | 0.207218i | 0.994618 | + | 0.103609i | \(0.0330390\pi\) | ||||
−0.994618 | + | 0.103609i | \(0.966961\pi\) | |||||||
\(402\) | −2.37673 | + | 2.68188i | −0.118541 | + | 0.133760i | ||||
\(403\) | −8.48286 | + | 15.4510i | −0.422561 | + | 0.769670i | ||||
\(404\) | 3.87611 | − | 6.71362i | 0.192844 | − | 0.334015i | ||||
\(405\) | −18.5775 | + | 4.56581i | −0.923124 | + | 0.226877i | ||||
\(406\) | 1.06208 | + | 0.674045i | 0.0527101 | + | 0.0334523i | ||||
\(407\) | −2.81596 | − | 1.62580i | −0.139582 | − | 0.0805878i | ||||
\(408\) | −8.66408 | − | 1.77029i | −0.428936 | − | 0.0876423i | ||||
\(409\) | 10.6492i | 0.526570i | 0.964718 | + | 0.263285i | \(0.0848060\pi\) | ||||
−0.964718 | + | 0.263285i | \(0.915194\pi\) | |||||||
\(410\) | 17.6908i | 0.873685i | ||||||||
\(411\) | 21.6531 | + | 4.42427i | 1.06807 | + | 0.218233i | ||||
\(412\) | 10.8579 | + | 6.26884i | 0.534933 | + | 0.308843i | ||||
\(413\) | 27.9638 | − | 14.6184i | 1.37601 | − | 0.719325i | ||||
\(414\) | 3.78550 | + | 1.61434i | 0.186047 | + | 0.0793407i | ||||
\(415\) | 15.3702 | − | 26.6220i | 0.754493 | − | 1.30682i | ||||
\(416\) | −10.7475 | − | 17.7235i | −0.526938 | − | 0.868964i | ||||
\(417\) | −18.0415 | + | 20.3578i | −0.883495 | + | 0.996925i | ||||
\(418\) | − | 5.96162i | − | 0.291593i | ||||||
\(419\) | −4.05247 | − | 7.01909i | −0.197976 | − | 0.342905i | 0.749896 | − | 0.661556i | \(-0.230104\pi\) |
−0.947872 | + | 0.318651i | \(0.896770\pi\) | |||||||
\(420\) | 12.1867 | + | 3.02699i | 0.594648 | + | 0.147702i | ||||
\(421\) | 16.7895 | 0.818270 | 0.409135 | − | 0.912474i | \(-0.365830\pi\) | ||||
0.409135 | + | 0.912474i | \(0.365830\pi\) | |||||||
\(422\) | 5.38536 | − | 3.10924i | 0.262155 | − | 0.151355i | ||||
\(423\) | 30.7278 | − | 23.0744i | 1.49404 | − | 1.12192i | ||||
\(424\) | −10.5617 | − | 18.2935i | −0.512923 | − | 0.888409i | ||||
\(425\) | 0.443552 | + | 0.768254i | 0.0215154 | + | 0.0372658i | ||||
\(426\) | 3.14209 | + | 2.78459i | 0.152235 | + | 0.134914i | ||||
\(427\) | 3.14325 | − | 4.95275i | 0.152113 | − | 0.239680i | ||||
\(428\) | 0.792429i | 0.0383035i | ||||||||
\(429\) | −1.10470 | + | 6.06945i | −0.0533355 | + | 0.293036i | ||||
\(430\) | −0.664401 | + | 0.383592i | −0.0320403 | + | 0.0184985i | ||||
\(431\) | 11.9816 | + | 6.91758i | 0.577134 | + | 0.333208i | 0.759993 | − | 0.649931i | \(-0.225202\pi\) |
−0.182860 | + | 0.983139i | \(0.558535\pi\) | |||||||
\(432\) | −0.709180 | + | 1.02633i | −0.0341204 | + | 0.0493791i | ||||
\(433\) | 10.1569 | + | 5.86410i | 0.488111 | + | 0.281811i | 0.723790 | − | 0.690020i | \(-0.242398\pi\) |
−0.235680 | + | 0.971831i | \(0.575732\pi\) | |||||||
\(434\) | 9.20759 | + | 5.84357i | 0.441979 | + | 0.280500i | ||||
\(435\) | −2.03406 | − | 0.415610i | −0.0975258 | − | 0.0199270i | ||||
\(436\) | −7.46182 | − | 12.9243i | −0.357356 | − | 0.618959i | ||||
\(437\) | 5.82281 | + | 10.0854i | 0.278543 | + | 0.482450i | ||||
\(438\) | 13.2980 | − | 4.43705i | 0.635402 | − | 0.212011i | ||||
\(439\) | 27.4492i | 1.31008i | 0.755595 | + | 0.655039i | \(0.227348\pi\) | ||||
−0.755595 | + | 0.655039i | \(0.772652\pi\) | |||||||
\(440\) | −2.91153 | − | 5.04292i | −0.138802 | − | 0.240412i | ||||
\(441\) | −17.7892 | + | 11.1599i | −0.847106 | + | 0.531424i | ||||
\(442\) | −2.90198 | − | 4.78560i | −0.138033 | − | 0.227628i | ||||
\(443\) | −23.7433 | − | 13.7082i | −1.12808 | − | 0.651298i | −0.184629 | − | 0.982808i | \(-0.559108\pi\) |
−0.943451 | + | 0.331511i | \(0.892442\pi\) | |||||||
\(444\) | 1.47129 | − | 7.20072i | 0.0698243 | − | 0.341731i | ||||
\(445\) | −5.51299 | + | 9.54877i | −0.261341 | + | 0.452655i | ||||
\(446\) | 0.581616 | + | 1.00739i | 0.0275403 | + | 0.0477012i | ||||
\(447\) | 4.12401 | + | 12.3598i | 0.195059 | + | 0.584598i | ||||
\(448\) | −10.2389 | + | 5.35251i | −0.483742 | + | 0.252882i | ||||
\(449\) | 5.57195 | + | 3.21697i | 0.262957 | + | 0.151818i | 0.625683 | − | 0.780078i | \(-0.284821\pi\) |
−0.362726 | + | 0.931896i | \(0.618154\pi\) | |||||||
\(450\) | −1.20995 | + | 0.146505i | −0.0570375 | + | 0.00690630i | ||||
\(451\) | − | 9.75131i | − | 0.459171i | ||||||
\(452\) | 7.87344 | + | 4.54573i | 0.370336 | + | 0.213813i | ||||
\(453\) | 5.82247 | − | 1.94275i | 0.273564 | − | 0.0912782i | ||||
\(454\) | − | 2.51455i | − | 0.118013i | ||||||
\(455\) | 9.77819 | + | 17.7634i | 0.458409 | + | 0.832762i | ||||
\(456\) | 32.6129 | − | 10.8817i | 1.52724 | − | 0.509585i | ||||
\(457\) | 23.9957 | 1.12247 | 0.561235 | − | 0.827656i | \(-0.310326\pi\) | ||||
0.561235 | + | 0.827656i | \(0.310326\pi\) | |||||||
\(458\) | 5.03386 | − | 8.71890i | 0.235217 | − | 0.407407i | ||||
\(459\) | −5.43826 | + | 7.87026i | −0.253836 | + | 0.367352i | ||||
\(460\) | 3.86095 | + | 2.22912i | 0.180018 | + | 0.103933i | ||||
\(461\) | 3.15743 | − | 5.46883i | 0.147056 | − | 0.254709i | −0.783082 | − | 0.621918i | \(-0.786354\pi\) |
0.930138 | + | 0.367210i | \(0.119687\pi\) | |||||||
\(462\) | 3.70425 | + | 0.920083i | 0.172338 | + | 0.0428061i | ||||
\(463\) | −4.43562 | −0.206141 | −0.103070 | − | 0.994674i | \(-0.532867\pi\) | ||||
−0.103070 | + | 0.994674i | \(0.532867\pi\) | |||||||
\(464\) | −0.117246 | + | 0.0676919i | −0.00544300 | + | 0.00314252i | ||||
\(465\) | −17.6341 | − | 3.60309i | −0.817763 | − | 0.167089i | ||||
\(466\) | 6.98647 | − | 12.1009i | 0.323642 | − | 0.560565i | ||||
\(467\) | 2.04445 | − | 3.54109i | 0.0946057 | − | 0.163862i | −0.814838 | − | 0.579688i | \(-0.803174\pi\) |
0.909444 | + | 0.415826i | \(0.136508\pi\) | |||||||
\(468\) | −13.8036 | + | 1.97352i | −0.638073 | + | 0.0912259i | ||||
\(469\) | 0.271996 | − | 6.48656i | 0.0125596 | − | 0.299522i | ||||
\(470\) | −19.8803 | + | 11.4779i | −0.917009 | + | 0.529436i | ||||
\(471\) | 8.05334 | + | 24.1361i | 0.371078 | + | 1.11213i | ||||
\(472\) | − | 33.0740i | − | 1.52235i | ||||||
\(473\) | 0.366224 | − | 0.211439i | 0.0168390 | − | 0.00972199i | ||||
\(474\) | 14.0939 | − | 15.9033i | 0.647353 | − | 0.730465i | ||||
\(475\) | −2.98684 | − | 1.72445i | −0.137046 | − | 0.0791234i | ||||
\(476\) | 5.56477 | − | 2.90905i | 0.255061 | − | 0.133336i | ||||
\(477\) | −22.6855 | + | 2.74684i | −1.03870 | + | 0.125769i | ||||
\(478\) | 24.9863 | 1.14285 | ||||||||
\(479\) | −15.1680 | + | 26.2717i | −0.693042 | + | 1.20038i | 0.277794 | + | 0.960641i | \(0.410397\pi\) |
−0.970836 | + | 0.239744i | \(0.922937\pi\) | |||||||
\(480\) | 14.0376 | − | 15.8398i | 0.640725 | − | 0.722986i | ||||
\(481\) | 10.1479 | − | 6.15366i | 0.462704 | − | 0.280583i | ||||
\(482\) | −15.2814 | −0.696048 | ||||||||
\(483\) | −7.16522 | + | 2.06148i | −0.326029 | + | 0.0938005i | ||||
\(484\) | −6.46117 | − | 11.1911i | −0.293690 | − | 0.508686i | ||||
\(485\) | 0.367281 | − | 0.212050i | 0.0166774 | − | 0.00962867i | ||||
\(486\) | −7.01532 | − | 11.1143i | −0.318221 | − | 0.504157i | ||||
\(487\) | −36.5435 | −1.65594 | −0.827971 | − | 0.560771i | \(-0.810505\pi\) | ||||
−0.827971 | + | 0.560771i | \(0.810505\pi\) | |||||||
\(488\) | −3.07425 | − | 5.32476i | −0.139165 | − | 0.241040i | ||||
\(489\) | −1.46814 | + | 0.489866i | −0.0663917 | + | 0.0221525i | ||||
\(490\) | 11.3514 | − | 5.34102i | 0.512804 | − | 0.241282i | ||||
\(491\) | 21.6683 | − | 12.5102i | 0.977875 | − | 0.564577i | 0.0762474 | − | 0.997089i | \(-0.475706\pi\) |
0.901628 | + | 0.432512i | \(0.142373\pi\) | |||||||
\(492\) | 20.9075 | − | 6.97608i | 0.942583 | − | 0.314506i | ||||
\(493\) | −0.899086 | + | 0.519087i | −0.0404928 | + | 0.0233785i | ||||
\(494\) | 19.0737 | + | 10.4717i | 0.858164 | + | 0.471146i | ||||
\(495\) | −6.25367 | + | 0.757217i | −0.281082 | + | 0.0340344i | ||||
\(496\) | −1.01645 | + | 0.586849i | −0.0456400 | + | 0.0263503i | ||||
\(497\) | −7.59967 | − | 0.318671i | −0.340892 | − | 0.0142944i | ||||
\(498\) | 20.6921 | + | 4.22792i | 0.927237 | + | 0.189458i | ||||
\(499\) | −8.03279 | + | 13.9132i | −0.359597 | + | 0.622841i | −0.987894 | − | 0.155133i | \(-0.950419\pi\) |
0.628296 | + | 0.777974i | \(0.283753\pi\) | |||||||
\(500\) | −15.0211 | −0.671764 | ||||||||
\(501\) | −9.22946 | + | 3.07954i | −0.412342 | + | 0.137583i | ||||
\(502\) | −5.54789 | − | 3.20308i | −0.247614 | − | 0.142960i | ||||
\(503\) | 19.4463 | − | 33.6820i | 0.867069 | − | 1.50181i | 0.00209081 | − | 0.999998i | \(-0.499334\pi\) |
0.864978 | − | 0.501810i | \(-0.167332\pi\) | |||||||
\(504\) | 1.72808 | + | 21.9435i | 0.0769749 | + | 0.977439i | ||||
\(505\) | 6.39120 | + | 11.0699i | 0.284405 | + | 0.492603i | ||||
\(506\) | 1.17357 | + | 0.677563i | 0.0521717 | + | 0.0301214i | ||||
\(507\) | −17.4782 | − | 14.1955i | −0.776234 | − | 0.630445i | ||||
\(508\) | −7.00662 | − | 12.1358i | −0.310869 | − | 0.538440i | ||||
\(509\) | −30.1839 | −1.33788 | −0.668939 | − | 0.743317i | \(-0.733251\pi\) | ||||
−0.668939 | + | 0.743317i | \(0.733251\pi\) | |||||||
\(510\) | 3.79035 | − | 4.27699i | 0.167840 | − | 0.189388i | ||||
\(511\) | −13.6093 | + | 21.4439i | −0.602041 | + | 0.948623i | ||||
\(512\) | − | 2.71177i | − | 0.119845i | ||||||
\(513\) | 3.01129 | − | 37.0704i | 0.132952 | − | 1.63670i | ||||
\(514\) | 19.9831i | 0.881417i | ||||||||
\(515\) | −17.9033 | + | 10.3365i | −0.788915 | + | 0.455480i | ||||
\(516\) | 0.715337 | + | 0.633946i | 0.0314910 | + | 0.0279079i | ||||
\(517\) | 10.9582 | − | 6.32671i | 0.481941 | − | 0.278249i | ||||
\(518\) | −3.40166 | − | 6.50709i | −0.149460 | − | 0.285905i | ||||
\(519\) | −23.6877 | + | 7.90373i | −1.03977 | + | 0.346935i | ||||
\(520\) | 21.2485 | − | 0.457157i | 0.931810 | − | 0.0200476i | ||||
\(521\) | 16.6107 | + | 28.7706i | 0.727729 | + | 1.26046i | 0.957841 | + | 0.287299i | \(0.0927573\pi\) |
−0.230112 | + | 0.973164i | \(0.573909\pi\) | |||||||
\(522\) | −0.171454 | − | 1.41600i | −0.00750435 | − | 0.0619766i | ||||
\(523\) | 19.3414i | 0.845740i | 0.906190 | + | 0.422870i | \(0.138977\pi\) | ||||
−0.906190 | + | 0.422870i | \(0.861023\pi\) | |||||||
\(524\) | 11.1760 | − | 19.3574i | 0.488227 | − | 0.845634i | ||||
\(525\) | 1.53246 | − | 1.58973i | 0.0668821 | − | 0.0693816i | ||||
\(526\) | 7.40330 | − | 12.8229i | 0.322799 | − | 0.559104i | ||||
\(527\) | −7.79454 | + | 4.50018i | −0.339536 | + | 0.196031i | ||||
\(528\) | −0.272453 | + | 0.307433i | −0.0118570 | + | 0.0133793i | ||||
\(529\) | 20.3529 | 0.884907 | ||||||||
\(530\) | 13.6510 | 0.592963 | ||||||||
\(531\) | −32.9114 | − | 14.0352i | −1.42823 | − | 0.609077i | ||||
\(532\) | −13.0814 | + | 20.6121i | −0.567151 | + | 0.893648i | ||||
\(533\) | 31.1984 | + | 17.1284i | 1.35135 | + | 0.741914i | ||||
\(534\) | −7.42186 | − | 1.51647i | −0.321175 | − | 0.0656242i | ||||
\(535\) | −1.13156 | − | 0.653306i | −0.0489216 | − | 0.0282449i | ||||
\(536\) | −5.89325 | − | 3.40247i | −0.254550 | − | 0.146964i | ||||
\(537\) | −25.6175 | + | 28.9064i | −1.10547 | + | 1.24740i | ||||
\(538\) | 20.0171i | 0.863000i | ||||||||
\(539\) | −6.25699 | + | 2.94401i | −0.269508 | + | 0.126808i | ||||
\(540\) | −6.09740 | − | 12.8666i | −0.262390 | − | 0.553691i | ||||
\(541\) | −13.4353 | + | 23.2706i | −0.577629 | + | 1.00048i | 0.418122 | + | 0.908391i | \(0.362689\pi\) |
−0.995751 | + | 0.0920914i | \(0.970645\pi\) | |||||||
\(542\) | −25.5544 | −1.09766 | ||||||||
\(543\) | 10.6393 | + | 2.17387i | 0.456574 | + | 0.0932895i | ||||
\(544\) | − | 10.5838i | − | 0.453776i | ||||||
\(545\) | 24.6071 | 1.05405 | ||||||||
\(546\) | −9.45033 | + | 10.2353i | −0.404437 | + | 0.438029i | ||||
\(547\) | −30.2508 | −1.29343 | −0.646716 | − | 0.762731i | \(-0.723858\pi\) | ||||
−0.646716 | + | 0.762731i | \(0.723858\pi\) | |||||||
\(548\) | 16.4488i | 0.702660i | ||||||||
\(549\) | −6.60317 | + | 0.799536i | −0.281816 | + | 0.0341234i | ||||
\(550\) | −0.401328 | −0.0171127 | ||||||||
\(551\) | 2.01813 | − | 3.49550i | 0.0859750 | − | 0.148913i | ||||
\(552\) | −1.56447 | + | 7.65677i | −0.0665883 | + | 0.325894i | ||||
\(553\) | −1.61292 | + | 38.4649i | −0.0685882 | + | 1.63569i | ||||
\(554\) | − | 14.8232i | − | 0.629778i | ||||||
\(555\) | 9.06938 | + | 8.03747i | 0.384974 | + | 0.341172i | ||||
\(556\) | −17.5332 | − | 10.1228i | −0.743573 | − | 0.429302i | ||||
\(557\) | −23.3427 | − | 13.4769i | −0.989060 | − | 0.571034i | −0.0840671 | − | 0.996460i | \(-0.526791\pi\) |
−0.904993 | + | 0.425426i | \(0.860124\pi\) | |||||||
\(558\) | −1.48641 | − | 12.2759i | −0.0629246 | − | 0.519679i | ||||
\(559\) | 0.0331993 | + | 1.54310i | 0.00140418 | + | 0.0652660i | ||||
\(560\) | −0.0565664 | + | 1.34899i | −0.00239037 | + | 0.0570054i | ||||
\(561\) | −2.08928 | + | 2.35751i | −0.0882093 | + | 0.0995343i | ||||
\(562\) | −22.8912 | −0.965607 | ||||||||
\(563\) | −7.64099 | −0.322029 | −0.161015 | − | 0.986952i | \(-0.551477\pi\) | ||||
−0.161015 | + | 0.986952i | \(0.551477\pi\) | |||||||
\(564\) | 21.4044 | + | 18.9690i | 0.901288 | + | 0.798740i | ||||
\(565\) | −12.9823 | + | 7.49532i | −0.546169 | + | 0.315331i | ||||
\(566\) | 3.01986 | − | 5.23056i | 0.126934 | − | 0.219857i | ||||
\(567\) | 22.5689 | + | 7.59230i | 0.947806 | + | 0.318847i | ||||
\(568\) | −3.98634 | + | 6.90454i | −0.167263 | + | 0.289708i | ||||
\(569\) | 3.73804i | 0.156707i | 0.996926 | + | 0.0783534i | \(0.0249662\pi\) | ||||
−0.996926 | + | 0.0783534i | \(0.975034\pi\) | |||||||
\(570\) | −4.44787 | + | 21.7686i | −0.186301 | + | 0.911786i | ||||
\(571\) | 7.51056 | + | 13.0087i | 0.314307 | + | 0.544396i | 0.979290 | − | 0.202463i | \(-0.0648945\pi\) |
−0.664983 | + | 0.746859i | \(0.731561\pi\) | |||||||
\(572\) | −4.59049 | + | 0.0987632i | −0.191938 | + | 0.00412950i | ||||
\(573\) | −2.70454 | − | 8.10559i | −0.112984 | − | 0.338616i | ||||
\(574\) | 11.7992 | − | 18.5918i | 0.492490 | − | 0.776006i | ||||
\(575\) | 0.678935 | − | 0.391983i | 0.0283135 | − | 0.0163468i | ||||
\(576\) | 12.0505 | + | 5.13897i | 0.502103 | + | 0.214124i | ||||
\(577\) | 15.7668 | − | 9.10299i | 0.656382 | − | 0.378963i | −0.134515 | − | 0.990912i | \(-0.542948\pi\) |
0.790897 | + | 0.611949i | \(0.209614\pi\) | |||||||
\(578\) | 11.4755i | 0.477319i | ||||||||
\(579\) | −6.97598 | − | 6.18226i | −0.289912 | − | 0.256926i | ||||
\(580\) | − | 1.54518i | − | 0.0641602i | ||||||
\(581\) | −33.9091 | + | 17.7264i | −1.40679 | + | 0.735414i | ||||
\(582\) | 0.218061 | + | 0.193250i | 0.00903893 | + | 0.00801049i | ||||
\(583\) | −7.52457 | −0.311636 | ||||||||
\(584\) | 13.3106 | + | 23.0546i | 0.550796 | + | 0.954006i | ||||
\(585\) | 8.56208 | − | 21.3381i | 0.353999 | − | 0.882222i | ||||
\(586\) | −16.6433 | − | 9.60900i | −0.687528 | − | 0.396944i | ||||
\(587\) | −2.83282 | − | 4.90659i | −0.116923 | − | 0.202516i | 0.801624 | − | 0.597829i | \(-0.203970\pi\) |
−0.918547 | + | 0.395312i | \(0.870636\pi\) | |||||||
\(588\) | −10.7884 | − | 11.3093i | −0.444907 | − | 0.466387i | ||||
\(589\) | 17.4959 | − | 30.3039i | 0.720908 | − | 1.24865i | ||||
\(590\) | 18.5105 | + | 10.6870i | 0.762064 | + | 0.439978i | ||||
\(591\) | 1.10105 | + | 3.29988i | 0.0452911 | + | 0.135739i | ||||
\(592\) | 0.790250 | 0.0324791 | ||||||||
\(593\) | −1.76064 | + | 3.04952i | −0.0723010 | + | 0.125229i | −0.899909 | − | 0.436077i | \(-0.856368\pi\) |
0.827608 | + | 0.561306i | \(0.189701\pi\) | |||||||
\(594\) | −1.85336 | − | 3.91093i | −0.0760445 | − | 0.160468i | ||||
\(595\) | −0.433772 | + | 10.3446i | −0.0177829 | + | 0.424087i | ||||
\(596\) | −8.39841 | + | 4.84883i | −0.344012 | + | 0.198616i | ||||
\(597\) | 3.19661 | + | 0.653149i | 0.130829 | + | 0.0267316i | ||||
\(598\) | −4.22921 | + | 2.56458i | −0.172945 | + | 0.104874i | ||||
\(599\) | −22.9515 | + | 13.2511i | −0.937774 | + | 0.541424i | −0.889262 | − | 0.457398i | \(-0.848781\pi\) |
−0.0485125 | + | 0.998823i | \(0.515448\pi\) | |||||||
\(600\) | −0.732544 | − | 2.19546i | −0.0299060 | − | 0.0896291i | ||||
\(601\) | −24.6360 | + | 14.2236i | −1.00492 | + | 0.580194i | −0.909702 | − | 0.415262i | \(-0.863690\pi\) |
−0.0952232 | + | 0.995456i | \(0.530356\pi\) | |||||||
\(602\) | 0.954084 | + | 0.0400069i | 0.0388856 | + | 0.00163056i | ||||
\(603\) | −5.88660 | + | 4.42042i | −0.239721 | + | 0.180014i | ||||
\(604\) | 2.28419 | + | 3.95634i | 0.0929425 | + | 0.160981i | ||||
\(605\) | 21.3073 | 0.866263 | ||||||||
\(606\) | −5.82459 | + | 6.57240i | −0.236608 | + | 0.266985i | ||||
\(607\) | 8.40141 | − | 4.85056i | 0.341003 | − | 0.196878i | −0.319713 | − | 0.947515i | \(-0.603586\pi\) |
0.660715 | + | 0.750637i | \(0.270253\pi\) | |||||||
\(608\) | 20.5740 | + | 35.6352i | 0.834386 | + | 1.44520i | ||||
\(609\) | 1.86046 | + | 1.79344i | 0.0753896 | + | 0.0726737i | ||||
\(610\) | 3.97347 | 0.160881 | ||||||||
\(611\) | 0.993394 | + | 46.1727i | 0.0401884 | + | 1.86795i | ||||
\(612\) | −6.54934 | − | 2.79299i | −0.264742 | − | 0.112900i | ||||
\(613\) | 4.23217 | − | 7.33033i | 0.170936 | − | 0.296069i | −0.767812 | − | 0.640676i | \(-0.778654\pi\) |
0.938747 | + | 0.344606i | \(0.111988\pi\) | |||||||
\(614\) | −21.0563 | −0.849763 | ||||||||
\(615\) | −7.27530 | + | 35.6065i | −0.293368 | + | 1.43579i | ||||
\(616\) | −0.303659 | + | 7.24167i | −0.0122348 | + | 0.291775i | ||||
\(617\) | 10.0946 | + | 5.82812i | 0.406393 | + | 0.234631i | 0.689239 | − | 0.724534i | \(-0.257945\pi\) |
−0.282846 | + | 0.959165i | \(0.591278\pi\) | |||||||
\(618\) | −10.6295 | − | 9.42011i | −0.427583 | − | 0.378933i | ||||
\(619\) | 25.2951 | − | 14.6041i | 1.01669 | − | 0.586989i | 0.103550 | − | 0.994624i | \(-0.466980\pi\) |
0.913145 | + | 0.407635i | \(0.133646\pi\) | |||||||
\(620\) | − | 13.3958i | − | 0.537989i | ||||||
\(621\) | 6.95524 | + | 4.80599i | 0.279104 | + | 0.192858i | ||||
\(622\) | −13.1499 | + | 7.59212i | −0.527265 | + | 0.304416i | ||||
\(623\) | 12.1625 | − | 6.35810i | 0.487281 | − | 0.254732i | ||||
\(624\) | −0.505032 | − | 1.41170i | −0.0202175 | − | 0.0565133i | ||||
\(625\) | 11.1793 | − | 19.3631i | 0.447172 | − | 0.774524i | ||||
\(626\) | 8.54512 | − | 14.8006i | 0.341532 | − | 0.591550i | ||||
\(627\) | 2.45170 | − | 11.9990i | 0.0979117 | − | 0.479195i | ||||
\(628\) | −16.4004 | + | 9.46875i | −0.654445 | + | 0.377844i | ||||
\(629\) | 6.05994 | 0.241626 | ||||||||
\(630\) | −12.8395 | − | 6.12332i | −0.511536 | − | 0.243959i | ||||
\(631\) | 12.7791 | − | 22.1340i | 0.508727 | − | 0.881141i | −0.491222 | − | 0.871034i | \(-0.663450\pi\) |
0.999949 | − | 0.0101065i | \(-0.00321706\pi\) | |||||||
\(632\) | 34.9466 | + | 20.1764i | 1.39010 | + | 0.802575i | ||||
\(633\) | 12.1179 | − | 4.04329i | 0.481642 | − | 0.160706i | ||||
\(634\) | 3.95608 | − | 6.85214i | 0.157116 | − | 0.272133i | ||||
\(635\) | 23.1060 | 0.916934 | ||||||||
\(636\) | −5.38307 | − | 16.1332i | −0.213453 | − | 0.639724i | ||||
\(637\) | 1.57146 | − | 25.1899i | 0.0622637 | − | 0.998060i | ||||
\(638\) | − | 0.469673i | − | 0.0185945i | ||||||
\(639\) | 5.17897 | + | 6.89675i | 0.204877 | + | 0.272831i | ||||
\(640\) | 14.3873 | + | 8.30653i | 0.568709 | + | 0.328344i | ||||
\(641\) | 34.2795i | 1.35396i | 0.736002 | + | 0.676980i | \(0.236712\pi\) | ||||
−0.736002 | + | 0.676980i | \(0.763288\pi\) | |||||||
\(642\) | 0.179707 | − | 0.879514i | 0.00709246 | − | 0.0347116i | ||||
\(643\) | −19.3892 | − | 11.1943i | −0.764634 | − | 0.441462i | 0.0663229 | − | 0.997798i | \(-0.478873\pi\) |
−0.830957 | + | 0.556336i | \(0.812207\pi\) | |||||||
\(644\) | −2.57084 | − | 4.91779i | −0.101305 | − | 0.193788i | ||||
\(645\) | −1.49500 | + | 0.498827i | −0.0588656 | + | 0.0196413i | ||||
\(646\) | 5.55529 | + | 9.62204i | 0.218570 | + | 0.378574i | ||||
\(647\) | −10.3042 | + | 17.8473i | −0.405098 | + | 0.701651i | −0.994333 | − | 0.106311i | \(-0.966096\pi\) |
0.589235 | + | 0.807962i | \(0.299429\pi\) | |||||||
\(648\) | 18.0117 | − | 17.2774i | 0.707567 | − | 0.678721i | ||||
\(649\) | −10.2031 | − | 5.89078i | −0.400508 | − | 0.231233i | ||||
\(650\) | 0.704943 | − | 1.28401i | 0.0276501 | − | 0.0503631i | ||||
\(651\) | 16.1291 | + | 15.5480i | 0.632149 | + | 0.609376i | ||||
\(652\) | −0.575962 | − | 0.997595i | −0.0225564 | − | 0.0390688i | ||||
\(653\) | 27.5127i | 1.07665i | 0.842736 | + | 0.538327i | \(0.180944\pi\) | ||||
−0.842736 | + | 0.538327i | \(0.819056\pi\) | |||||||
\(654\) | 5.35089 | + | 16.0368i | 0.209236 | + | 0.627087i | ||||
\(655\) | 18.4278 | + | 31.9179i | 0.720034 | + | 1.24713i | ||||
\(656\) | 1.18495 | + | 2.05240i | 0.0462647 | + | 0.0801328i | ||||
\(657\) | 28.5897 | − | 3.46175i | 1.11539 | − | 0.135056i | ||||
\(658\) | 28.5482 | + | 1.19709i | 1.11293 | + | 0.0466675i | ||||
\(659\) | 33.0777 | + | 19.0974i | 1.28852 | + | 0.743929i | 0.978391 | − | 0.206764i | \(-0.0662933\pi\) |
0.310132 | + | 0.950693i | \(0.399627\pi\) | |||||||
\(660\) | −1.48394 | − | 4.44741i | −0.0577623 | − | 0.173115i | ||||
\(661\) | −5.78197 | − | 3.33822i | −0.224893 | − | 0.129842i | 0.383321 | − | 0.923615i | \(-0.374780\pi\) |
−0.608214 | + | 0.793773i | \(0.708114\pi\) | |||||||
\(662\) | 13.7335 | − | 7.92907i | 0.533770 | − | 0.308172i | ||||
\(663\) | −3.87278 | − | 10.8255i | −0.150406 | − | 0.420427i | ||||
\(664\) | 40.1057i | 1.55640i | ||||||||
\(665\) | −18.6486 | − | 35.6731i | −0.723160 | − | 1.38334i | ||||
\(666\) | −3.26595 | + | 7.65839i | −0.126553 | + | 0.296757i | ||||
\(667\) | 0.458737 | + | 0.794555i | 0.0177624 | + | 0.0307653i | ||||
\(668\) | −3.62078 | − | 6.27137i | −0.140092 | − | 0.242646i | ||||
\(669\) | 0.756340 | + | 2.26677i | 0.0292418 | + | 0.0876385i | ||||
\(670\) | 3.80851 | − | 2.19885i | 0.147136 | − | 0.0849489i | ||||
\(671\) | −2.19021 | −0.0845521 | ||||||||
\(672\) | −25.3172 | + | 7.28392i | −0.976632 | + | 0.280983i | ||||
\(673\) | 5.54228 | + | 9.59951i | 0.213639 | + | 0.370034i | 0.952851 | − | 0.303439i | \(-0.0981350\pi\) |
−0.739212 | + | 0.673473i | \(0.764802\pi\) | |||||||
\(674\) | − | 17.5227i | − | 0.674950i | ||||||
\(675\) | −2.49553 | − | 0.202716i | −0.0960528 | − | 0.00780254i | ||||
\(676\) | 7.74733 | − | 14.8603i | 0.297974 | − | 0.571551i | ||||
\(677\) | −14.9397 | + | 25.8763i | −0.574178 | + | 0.994506i | 0.421952 | + | 0.906618i | \(0.361345\pi\) |
−0.996130 | + | 0.0878879i | \(0.971988\pi\) | |||||||
\(678\) | −7.70782 | − | 6.83083i | −0.296017 | − | 0.262336i | ||||
\(679\) | −0.527417 | − | 0.0221158i | −0.0202404 | − | 0.000848726i | ||||
\(680\) | 9.39841 | + | 5.42617i | 0.360413 | + | 0.208084i | ||||
\(681\) | 1.03410 | − | 5.06106i | 0.0396269 | − | 0.193940i | ||||
\(682\) | − | 4.07179i | − | 0.155917i | ||||||
\(683\) | − | 3.80861i | − | 0.145732i | −0.997342 | − | 0.0728662i | \(-0.976785\pi\) | ||
0.997342 | − | 0.0728662i | \(-0.0232146\pi\) | |||||||
\(684\) | 27.4807 | − | 3.32747i | 1.05075 | − | 0.127229i | ||||
\(685\) | −23.4883 | − | 13.5610i | −0.897443 | − | 0.518139i | ||||
\(686\) | −15.4918 | − | 1.95801i | −0.591481 | − | 0.0747571i | ||||
\(687\) | 13.7173 | − | 15.4785i | 0.523349 | − | 0.590541i | ||||
\(688\) | −0.0513871 | + | 0.0890050i | −0.00195911 | + | 0.00339329i | ||||
\(689\) | 13.2171 | − | 24.0742i | 0.503531 | − | 0.917152i | ||||
\(690\) | −3.77973 | − | 3.34968i | −0.143892 | − | 0.127520i | ||||
\(691\) | − | 32.3395i | − | 1.23025i | −0.788428 | − | 0.615127i | \(-0.789105\pi\) | ||
0.788428 | − | 0.615127i | \(-0.210895\pi\) | |||||||
\(692\) | −9.29284 | − | 16.0957i | −0.353261 | − | 0.611866i | ||||
\(693\) | 7.07722 | + | 3.37523i | 0.268841 | + | 0.128214i | ||||
\(694\) | 2.21736 | 0.0841699 | ||||||||
\(695\) | 28.9099 | − | 16.6912i | 1.09662 | − | 0.633132i | ||||
\(696\) | 2.56934 | − | 0.857294i | 0.0973904 | − | 0.0324957i | ||||
\(697\) | 9.08668 | + | 15.7386i | 0.344182 | + | 0.596141i | ||||
\(698\) | −0.993435 | − | 1.72068i | −0.0376021 | − | 0.0651287i | ||||
\(699\) | 19.0382 | − | 21.4825i | 0.720093 | − | 0.812544i | ||||
\(700\) | 1.38758 | + | 0.880622i | 0.0524455 | + | 0.0332844i | ||||
\(701\) | − | 8.39232i | − | 0.316974i | −0.987361 | − | 0.158487i | \(-0.949338\pi\) | ||
0.987361 | − | 0.158487i | \(-0.0506616\pi\) | |||||||
\(702\) | 15.7681 | + | 0.939984i | 0.595130 | + | 0.0354774i | ||||
\(703\) | −20.4036 | + | 11.7800i | −0.769536 | + | 0.444292i | ||||
\(704\) | 3.73586 | + | 2.15690i | 0.140800 | + | 0.0812912i | ||||
\(705\) | −44.7336 | + | 14.9260i | −1.68476 | + | 0.562145i | ||||
\(706\) | −16.6241 | − | 9.59791i | −0.625655 | − | 0.361222i | ||||
\(707\) | 0.666573 | − | 15.8964i | 0.0250690 | − | 0.597847i | ||||
\(708\) | 5.33095 | − | 26.0905i | 0.200349 | − | 0.980541i | ||||
\(709\) | −13.5979 | − | 23.5522i | −0.510679 | − | 0.884523i | −0.999923 | − | 0.0123757i | \(-0.996061\pi\) |
0.489244 | − | 0.872147i | \(-0.337273\pi\) | |||||||
\(710\) | −2.57617 | − | 4.46206i | −0.0966820 | − | 0.167458i | ||||
\(711\) | 34.9071 | − | 26.2128i | 1.30912 | − | 0.983056i | ||||
\(712\) | − | 14.3851i | − | 0.539105i | ||||||
\(713\) | 3.97698 | + | 6.88832i | 0.148939 | + | 0.257970i | ||||
\(714\) | −6.83603 | + | 1.96677i | −0.255832 | + | 0.0736044i | ||||
\(715\) | 3.64353 | − | 6.63648i | 0.136260 | − | 0.248190i | ||||
\(716\) | −24.8957 | − | 14.3735i | −0.930397 | − | 0.537165i | ||||
\(717\) | 50.2903 | + | 10.2756i | 1.87813 | + | 0.383748i | ||||
\(718\) | −2.84272 | + | 4.92374i | −0.106089 | + | 0.183752i | ||||
\(719\) | 14.7050 | + | 25.4699i | 0.548405 | + | 0.949866i | 0.998384 | + | 0.0568265i | \(0.0180982\pi\) |
−0.449979 | + | 0.893039i | \(0.648568\pi\) | |||||||
\(720\) | 1.22422 | − | 0.919304i | 0.0456240 | − | 0.0342604i | ||||
\(721\) | 25.7093 | + | 1.07805i | 0.957464 | + | 0.0401486i | ||||
\(722\) | −23.5355 | − | 13.5882i | −0.875902 | − | 0.505702i | ||||
\(723\) | −30.7570 | − | 6.28444i | −1.14387 | − | 0.233721i | ||||
\(724\) | 8.08214i | 0.300370i | ||||||||
\(725\) | −0.235312 | − | 0.135857i | −0.00873926 | − | 0.00504561i | ||||
\(726\) | 4.63332 | + | 13.8862i | 0.171959 | + | 0.515365i | ||||
\(727\) | − | 31.8635i | − | 1.18175i | −0.806763 | − | 0.590876i | \(-0.798782\pi\) | ||
0.806763 | − | 0.590876i | \(-0.201218\pi\) | |||||||
\(728\) | −22.6357 | − | 13.6917i | −0.838933 | − | 0.507448i | ||||
\(729\) | −9.54908 | − | 25.2550i | −0.353669 | − | 0.935370i | ||||
\(730\) | −17.2039 | −0.636746 | ||||||||
\(731\) | −0.394056 | + | 0.682525i | −0.0145747 | + | 0.0252441i | ||||
\(732\) | −1.56687 | − | 4.69597i | −0.0579133 | − | 0.173568i | ||||
\(733\) | −8.03692 | − | 4.64012i | −0.296850 | − | 0.171387i | 0.344177 | − | 0.938905i | \(-0.388158\pi\) |
−0.641027 | + | 0.767518i | \(0.721491\pi\) | |||||||
\(734\) | 5.38599 | − | 9.32881i | 0.198801 | − | 0.344333i | ||||
\(735\) | 25.0436 | − | 6.08169i | 0.923747 | − | 0.224327i | ||||
\(736\) | −9.35328 | −0.344767 | ||||||||
\(737\) | −2.09929 | + | 1.21202i | −0.0773282 | + | 0.0446455i | ||||
\(738\) | −24.7872 | + | 3.00132i | −0.912429 | + | 0.110480i | ||||
\(739\) | −19.1664 | + | 33.1971i | −0.705046 | + | 1.22118i | 0.261629 | + | 0.965169i | \(0.415740\pi\) |
−0.966675 | + | 0.256007i | \(0.917593\pi\) | |||||||
\(740\) | −4.50970 | + | 7.81103i | −0.165780 | + | 0.287139i | ||||
\(741\) | 34.0833 | + | 28.9206i | 1.25208 | + | 1.06242i | ||||
\(742\) | −14.3463 | − | 9.10484i | −0.526669 | − | 0.334249i | ||||
\(743\) | −41.4254 | + | 23.9170i | −1.51975 | + | 0.877428i | −0.520022 | + | 0.854153i | \(0.674076\pi\) |
−0.999729 | + | 0.0232753i | \(0.992591\pi\) | |||||||
\(744\) | 22.2746 | − | 7.43223i | 0.816627 | − | 0.272479i | ||||
\(745\) | − | 15.9902i | − | 0.585834i | ||||||
\(746\) | 18.7696 | − | 10.8367i | 0.687205 | − | 0.396758i | ||||
\(747\) | 39.9086 | + | 17.0192i | 1.46018 | + | 0.622700i | ||||
\(748\) | −2.03041 | − | 1.17226i | −0.0742393 | − | 0.0428621i | ||||
\(749\) | 0.753455 | + | 1.44130i | 0.0275306 | + | 0.0526638i | ||||
\(750\) | 16.6718 | + | 3.40648i | 0.608770 | + | 0.124387i | ||||
\(751\) | −19.6118 | −0.715646 | −0.357823 | − | 0.933789i | \(-0.616481\pi\) | ||||
−0.357823 | + | 0.933789i | \(0.616481\pi\) | |||||||
\(752\) | −1.53761 | + | 2.66322i | −0.0560709 | + | 0.0971176i | ||||
\(753\) | −9.84905 | − | 8.72843i | −0.358919 | − | 0.318082i | ||||
\(754\) | 1.50268 | + | 0.824993i | 0.0547242 | + | 0.0300445i | ||||
\(755\) | −7.53267 | −0.274142 | ||||||||
\(756\) | −2.17370 | + | 17.5887i | −0.0790567 | + | 0.639695i | ||||
\(757\) | −6.86398 | − | 11.8888i | −0.249476 | − | 0.432105i | 0.713905 | − | 0.700243i | \(-0.246925\pi\) |
−0.963380 | + | 0.268138i | \(0.913592\pi\) | |||||||
\(758\) | −22.2862 | + | 12.8670i | −0.809473 | + | 0.467349i | ||||
\(759\) | 2.08342 | + | 1.84637i | 0.0756234 | + | 0.0670190i | ||||
\(760\) | −42.1921 | −1.53047 | ||||||||
\(761\) | −11.3944 | − | 19.7356i | −0.413045 | − | 0.715415i | 0.582176 | − | 0.813063i | \(-0.302202\pi\) |
−0.995221 | + | 0.0976477i | \(0.968868\pi\) | |||||||
\(762\) | 5.02446 | + | 15.0585i | 0.182017 | + | 0.545510i | ||||
\(763\) | −25.8604 | − | 16.4122i | −0.936209 | − | 0.594162i | ||||
\(764\) | 5.50771 | − | 3.17988i | 0.199262 | − | 0.115044i | ||||
\(765\) | 9.38780 | − | 7.04958i | 0.339417 | − | 0.254878i | ||||
\(766\) | −6.05112 | + | 3.49362i | −0.218636 | + | 0.126230i | ||||
\(767\) | 36.7691 | − | 22.2967i | 1.32765 | − | 0.805086i | ||||
\(768\) | −5.31319 | + | 26.0036i | −0.191723 | + | 0.938324i | ||||
\(769\) | 20.0316 | − | 11.5653i | 0.722359 | − | 0.417054i | −0.0932614 | − | 0.995642i | \(-0.529729\pi\) |
0.815620 | + | 0.578588i | \(0.196396\pi\) | |||||||
\(770\) | −3.95482 | − | 2.50991i | −0.142522 | − | 0.0904510i |