Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [539,2,Mod(67,539)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(539, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("539.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 539 = 7^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 539.e (of order \(3\), degree \(2\), not 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: | \(4.30393666895\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.1783323.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{5} + 5x^{4} - 2x^{3} + 19x^{2} - 12x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 77) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 177.3 | ||
Root | \(0.356769 + 0.617942i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 539.177 |
Dual form | 539.2.e.l.67.3 |
$q$-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 \(\left(\mathbb{Z}/539\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(442\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.24543 | − | 2.15715i | 0.880653 | − | 1.52534i | 0.0300373 | − | 0.999549i | \(-0.490437\pi\) |
0.850616 | − | 0.525787i | \(-0.176229\pi\) | |||||||
\(3\) | −0.356769 | − | 0.617942i | −0.205981 | − | 0.356769i | 0.744464 | − | 0.667663i | \(-0.232705\pi\) |
−0.950445 | + | 0.310894i | \(0.899372\pi\) | |||||||
\(4\) | −2.10220 | − | 3.64112i | −1.05110 | − | 1.82056i | ||||
\(5\) | 1.10220 | − | 1.90907i | 0.492919 | − | 0.853761i | −0.507048 | − | 0.861918i | \(-0.669263\pi\) |
0.999967 | + | 0.00815703i | \(0.00259649\pi\) | |||||||
\(6\) | −1.77733 | −0.725590 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −5.49086 | −1.94131 | ||||||||
\(9\) | 1.24543 | − | 2.15715i | 0.415144 | − | 0.719050i | ||||
\(10\) | −2.74543 | − | 4.75523i | −0.868182 | − | 1.50373i | ||||
\(11\) | 0.500000 | + | 0.866025i | 0.150756 | + | 0.261116i | ||||
\(12\) | −1.50000 | + | 2.59808i | −0.433013 | + | 0.750000i | ||||
\(13\) | 3.28646 | 0.911501 | 0.455750 | − | 0.890108i | \(-0.349371\pi\) | ||||
0.455750 | + | 0.890108i | \(0.349371\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.57292 | −0.406127 | ||||||||
\(16\) | −2.63409 | + | 4.56239i | −0.658524 | + | 1.14060i | ||||
\(17\) | 0.745432 | + | 1.29113i | 0.180794 | + | 0.313144i | 0.942151 | − | 0.335189i | \(-0.108800\pi\) |
−0.761357 | + | 0.648333i | \(0.775467\pi\) | |||||||
\(18\) | −3.10220 | − | 5.37317i | −0.731196 | − | 1.26647i | ||||
\(19\) | −3.45897 | + | 5.99111i | −0.793542 | + | 1.37446i | 0.130219 | + | 0.991485i | \(0.458432\pi\) |
−0.923761 | + | 0.382970i | \(0.874901\pi\) | |||||||
\(20\) | −9.26819 | −2.07243 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.49086 | 0.531054 | ||||||||
\(23\) | −3.24543 | + | 5.62125i | −0.676719 | + | 1.17211i | 0.299244 | + | 0.954177i | \(0.403266\pi\) |
−0.975963 | + | 0.217936i | \(0.930068\pi\) | |||||||
\(24\) | 1.95897 | + | 3.39304i | 0.399873 | + | 0.692600i | ||||
\(25\) | 0.0703069 | + | 0.121775i | 0.0140614 | + | 0.0243550i | ||||
\(26\) | 4.09306 | − | 7.08940i | 0.802716 | − | 1.39034i | ||||
\(27\) | −3.91794 | −0.754008 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.64975 | −0.306351 | −0.153175 | − | 0.988199i | \(-0.548950\pi\) | ||||
−0.153175 | + | 0.988199i | \(0.548950\pi\) | |||||||
\(30\) | −1.95897 | + | 3.39304i | −0.357657 | + | 0.619481i | ||||
\(31\) | −1.17512 | − | 2.03538i | −0.211059 | − | 0.365564i | 0.740987 | − | 0.671519i | \(-0.234358\pi\) |
−0.952046 | + | 0.305955i | \(0.901024\pi\) | |||||||
\(32\) | 1.07031 | + | 1.85383i | 0.189205 | + | 0.327713i | ||||
\(33\) | 0.356769 | − | 0.617942i | 0.0621055 | − | 0.107570i | ||||
\(34\) | 3.71354 | 0.636867 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −10.4726 | −1.74543 | ||||||||
\(37\) | 2.77733 | − | 4.81047i | 0.456590 | − | 0.790836i | −0.542189 | − | 0.840257i | \(-0.682404\pi\) |
0.998778 | + | 0.0494206i | \(0.0157375\pi\) | |||||||
\(38\) | 8.61582 | + | 14.9230i | 1.39767 | + | 2.42084i | ||||
\(39\) | −1.17251 | − | 2.03084i | −0.187751 | − | 0.325195i | ||||
\(40\) | −6.05203 | + | 10.4824i | −0.956911 | + | 1.65742i | ||||
\(41\) | 11.2499 | 1.75694 | 0.878471 | − | 0.477796i | \(-0.158564\pi\) | ||||
0.878471 | + | 0.477796i | \(0.158564\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.26819 | 0.803391 | 0.401696 | − | 0.915773i | \(-0.368421\pi\) | ||||
0.401696 | + | 0.915773i | \(0.368421\pi\) | |||||||
\(44\) | 2.10220 | − | 3.64112i | 0.316919 | − | 0.548919i | ||||
\(45\) | −2.74543 | − | 4.75523i | −0.409265 | − | 0.708867i | ||||
\(46\) | 8.08393 | + | 14.0018i | 1.19191 | + | 2.06445i | ||||
\(47\) | 0.745432 | − | 1.29113i | 0.108732 | − | 0.188330i | −0.806525 | − | 0.591201i | \(-0.798654\pi\) |
0.915257 | + | 0.402871i | \(0.131988\pi\) | |||||||
\(48\) | 3.75905 | 0.542573 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0.350250 | 0.0495328 | ||||||||
\(51\) | 0.531894 | − | 0.921267i | 0.0744800 | − | 0.129003i | ||||
\(52\) | −6.90880 | − | 11.9664i | −0.958079 | − | 1.65944i | ||||
\(53\) | −0.152367 | − | 0.263908i | −0.0209293 | − | 0.0362506i | 0.855371 | − | 0.518016i | \(-0.173329\pi\) |
−0.876300 | + | 0.481765i | \(0.839996\pi\) | |||||||
\(54\) | −4.87953 | + | 8.45159i | −0.664019 | + | 1.15012i | ||||
\(55\) | 2.20440 | 0.297241 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 4.93621 | 0.653817 | ||||||||
\(58\) | −2.05465 | + | 3.55876i | −0.269789 | + | 0.467288i | ||||
\(59\) | −6.32936 | − | 10.9628i | −0.824012 | − | 1.42723i | −0.902672 | − | 0.430330i | \(-0.858397\pi\) |
0.0786592 | − | 0.996902i | \(-0.474936\pi\) | |||||||
\(60\) | 3.30660 | + | 5.72720i | 0.426881 | + | 0.739379i | ||||
\(61\) | −6.49086 | + | 11.2425i | −0.831070 | + | 1.43946i | 0.0661206 | + | 0.997812i | \(0.478938\pi\) |
−0.897191 | + | 0.441644i | \(0.854396\pi\) | |||||||
\(62\) | −5.85415 | −0.743478 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −5.20440 | −0.650550 | ||||||||
\(65\) | 3.62234 | − | 6.27408i | 0.449296 | − | 0.778204i | ||||
\(66\) | −0.888663 | − | 1.53921i | −0.109387 | − | 0.189464i | ||||
\(67\) | 2.28646 | + | 3.96027i | 0.279336 | + | 0.483824i | 0.971220 | − | 0.238185i | \(-0.0765524\pi\) |
−0.691884 | + | 0.722009i | \(0.743219\pi\) | |||||||
\(68\) | 3.13409 | − | 5.42841i | 0.380065 | − | 0.658292i | ||||
\(69\) | 4.63148 | 0.557564 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 11.3267 | 1.34424 | 0.672119 | − | 0.740444i | \(-0.265385\pi\) | ||||
0.672119 | + | 0.740444i | \(0.265385\pi\) | |||||||
\(72\) | −6.83850 | + | 11.8446i | −0.805925 | + | 1.39590i | ||||
\(73\) | −4.28384 | − | 7.41984i | −0.501386 | − | 0.868426i | −0.999999 | − | 0.00160129i | \(-0.999490\pi\) |
0.498613 | − | 0.866825i | \(-0.333843\pi\) | |||||||
\(74\) | −6.91794 | − | 11.9822i | −0.804194 | − | 1.39291i | ||||
\(75\) | 0.0501666 | − | 0.0868912i | 0.00579274 | − | 0.0100333i | ||||
\(76\) | 29.0858 | 3.33637 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −5.84111 | −0.661376 | ||||||||
\(79\) | −2.31574 | + | 4.01098i | −0.260541 | + | 0.451270i | −0.966386 | − | 0.257096i | \(-0.917234\pi\) |
0.705845 | + | 0.708366i | \(0.250568\pi\) | |||||||
\(80\) | 5.80660 | + | 10.0573i | 0.649198 | + | 1.12444i | ||||
\(81\) | −2.33850 | − | 4.05039i | −0.259833 | − | 0.450044i | ||||
\(82\) | 14.0110 | − | 24.2678i | 1.54726 | − | 2.67993i | ||||
\(83\) | 1.93621 | 0.212527 | 0.106263 | − | 0.994338i | \(-0.466111\pi\) | ||||
0.106263 | + | 0.994338i | \(0.466111\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.28646 | 0.356467 | ||||||||
\(86\) | 6.56117 | − | 11.3643i | 0.707509 | − | 1.22544i | ||||
\(87\) | 0.588580 | + | 1.01945i | 0.0631024 | + | 0.109297i | ||||
\(88\) | −2.74543 | − | 4.75523i | −0.292664 | − | 0.506909i | ||||
\(89\) | 1.60220 | − | 2.77509i | 0.169833 | − | 0.294159i | −0.768528 | − | 0.639816i | \(-0.779011\pi\) |
0.938361 | + | 0.345657i | \(0.112344\pi\) | |||||||
\(90\) | −13.6770 | −1.44168 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 27.2902 | 2.84520 | ||||||||
\(93\) | −0.838496 | + | 1.45232i | −0.0869480 | + | 0.150598i | ||||
\(94\) | −1.85677 | − | 3.21602i | −0.191511 | − | 0.331707i | ||||
\(95\) | 7.62496 | + | 13.2068i | 0.782304 | + | 1.35499i | ||||
\(96\) | 0.763705 | − | 1.32278i | 0.0779453 | − | 0.135005i | ||||
\(97\) | −1.85939 | −0.188792 | −0.0943960 | − | 0.995535i | \(-0.530092\pi\) | ||||
−0.0943960 | + | 0.995535i | \(0.530092\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 2.49086 | 0.250341 | ||||||||
\(100\) | 0.295598 | − | 0.511992i | 0.0295598 | − | 0.0511992i | ||||
\(101\) | 3.02276 | + | 5.23557i | 0.300776 | + | 0.520959i | 0.976312 | − | 0.216368i | \(-0.0694211\pi\) |
−0.675536 | + | 0.737327i | \(0.736088\pi\) | |||||||
\(102\) | −1.32488 | − | 2.29475i | −0.131182 | − | 0.227214i | ||||
\(103\) | −0.531894 | + | 0.921267i | −0.0524091 | + | 0.0907752i | −0.891040 | − | 0.453925i | \(-0.850023\pi\) |
0.838631 | + | 0.544700i | \(0.183357\pi\) | |||||||
\(104\) | −18.0455 | −1.76951 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.759053 | −0.0737257 | ||||||||
\(107\) | 3.16599 | − | 5.48365i | 0.306068 | − | 0.530125i | −0.671431 | − | 0.741067i | \(-0.734320\pi\) |
0.977498 | + | 0.210943i | \(0.0676533\pi\) | |||||||
\(108\) | 8.23630 | + | 14.2657i | 0.792538 | + | 1.37272i | ||||
\(109\) | 1.40694 | + | 2.43688i | 0.134760 | + | 0.233411i | 0.925506 | − | 0.378734i | \(-0.123640\pi\) |
−0.790746 | + | 0.612145i | \(0.790307\pi\) | |||||||
\(110\) | 2.74543 | − | 4.75523i | 0.261767 | − | 0.453393i | ||||
\(111\) | −3.96345 | −0.376194 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −12.7538 | −1.19978 | −0.599889 | − | 0.800083i | \(-0.704789\pi\) | ||||
−0.599889 | + | 0.800083i | \(0.704789\pi\) | |||||||
\(114\) | 6.14772 | − | 10.6482i | 0.575786 | − | 0.997291i | ||||
\(115\) | 7.15423 | + | 12.3915i | 0.667136 | + | 1.15551i | ||||
\(116\) | 3.46811 | + | 6.00694i | 0.322006 | + | 0.557730i | ||||
\(117\) | 4.09306 | − | 7.08940i | 0.378404 | − | 0.655415i | ||||
\(118\) | −31.5311 | −2.90268 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 8.63671 | 0.788420 | ||||||||
\(121\) | −0.500000 | + | 0.866025i | −0.0454545 | + | 0.0787296i | ||||
\(122\) | 16.1679 | + | 28.0035i | 1.46377 | + | 2.53532i | ||||
\(123\) | −4.01362 | − | 6.95180i | −0.361896 | − | 0.626822i | ||||
\(124\) | −4.94070 | + | 8.55754i | −0.443688 | + | 0.768490i | ||||
\(125\) | 11.3320 | 1.01356 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −12.3775 | −1.09832 | −0.549162 | − | 0.835716i | \(-0.685053\pi\) | ||||
−0.549162 | + | 0.835716i | \(0.685053\pi\) | |||||||
\(128\) | −8.62234 | + | 14.9343i | −0.762114 | + | 1.32002i | ||||
\(129\) | −1.87953 | − | 3.25544i | −0.165483 | − | 0.286625i | ||||
\(130\) | −9.02276 | − | 15.6279i | −0.791348 | − | 1.37066i | ||||
\(131\) | 0.379526 | − | 0.657359i | 0.0331594 | − | 0.0574337i | −0.848969 | − | 0.528442i | \(-0.822776\pi\) |
0.882129 | + | 0.471008i | \(0.156110\pi\) | |||||||
\(132\) | −3.00000 | −0.261116 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 11.3905 | 0.983992 | ||||||||
\(135\) | −4.31836 | + | 7.47961i | −0.371665 | + | 0.643742i | ||||
\(136\) | −4.09306 | − | 7.08940i | −0.350977 | − | 0.607911i | ||||
\(137\) | 2.92056 | + | 5.05855i | 0.249520 | + | 0.432181i | 0.963393 | − | 0.268094i | \(-0.0863938\pi\) |
−0.713873 | + | 0.700275i | \(0.753060\pi\) | |||||||
\(138\) | 5.76819 | − | 9.99080i | 0.491021 | − | 0.850473i | ||||
\(139\) | 5.57292 | 0.472689 | 0.236345 | − | 0.971669i | \(-0.424051\pi\) | ||||
0.236345 | + | 0.971669i | \(0.424051\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.06379 | −0.0895871 | ||||||||
\(142\) | 14.1067 | − | 24.4335i | 1.18381 | − | 2.05041i | ||||
\(143\) | 1.64323 | + | 2.84616i | 0.137414 | + | 0.238008i | ||||
\(144\) | 6.56117 | + | 11.3643i | 0.546764 | + | 0.947023i | ||||
\(145\) | −1.81836 | + | 3.14948i | −0.151006 | + | 0.261550i | ||||
\(146\) | −21.3409 | −1.76619 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −23.3540 | −1.91969 | ||||||||
\(149\) | 0.500000 | − | 0.866025i | 0.0409616 | − | 0.0709476i | −0.844818 | − | 0.535054i | \(-0.820291\pi\) |
0.885779 | + | 0.464107i | \(0.153625\pi\) | |||||||
\(150\) | −0.124958 | − | 0.216434i | −0.0102028 | − | 0.0176718i | ||||
\(151\) | −7.42056 | − | 12.8528i | −0.603876 | − | 1.04594i | −0.992228 | − | 0.124433i | \(-0.960289\pi\) |
0.388352 | − | 0.921511i | \(-0.373045\pi\) | |||||||
\(152\) | 18.9927 | − | 32.8964i | 1.54051 | − | 2.66825i | ||||
\(153\) | 3.71354 | 0.300222 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −5.18089 | −0.416139 | ||||||||
\(156\) | −4.92969 | + | 8.53848i | −0.394691 | + | 0.683625i | ||||
\(157\) | 3.19527 | + | 5.53436i | 0.255010 | + | 0.441690i | 0.964898 | − | 0.262624i | \(-0.0845879\pi\) |
−0.709888 | + | 0.704314i | \(0.751255\pi\) | |||||||
\(158\) | 5.76819 | + | 9.99080i | 0.458893 | + | 0.794825i | ||||
\(159\) | −0.108720 | + | 0.188308i | −0.00862205 | + | 0.0149338i | ||||
\(160\) | 4.71877 | 0.373052 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −11.6498 | −0.915291 | ||||||||
\(163\) | −4.97259 | + | 8.61278i | −0.389483 | + | 0.674605i | −0.992380 | − | 0.123214i | \(-0.960680\pi\) |
0.602897 | + | 0.797819i | \(0.294013\pi\) | |||||||
\(164\) | −23.6496 | − | 40.9623i | −1.84672 | − | 3.19862i | ||||
\(165\) | −0.786462 | − | 1.36219i | −0.0612260 | − | 0.106047i | ||||
\(166\) | 2.41142 | − | 4.17670i | 0.187163 | − | 0.324175i | ||||
\(167\) | 1.94145 | 0.150234 | 0.0751168 | − | 0.997175i | \(-0.476067\pi\) | ||||
0.0751168 | + | 0.997175i | \(0.476067\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.19917 | −0.169167 | ||||||||
\(170\) | 4.09306 | − | 7.08940i | 0.313924 | − | 0.543732i | ||||
\(171\) | 8.61582 | + | 14.9230i | 0.658868 | + | 1.14119i | ||||
\(172\) | −11.0748 | − | 19.1821i | −0.844445 | − | 1.46262i | ||||
\(173\) | 3.21616 | − | 5.57054i | 0.244520 | − | 0.423521i | −0.717477 | − | 0.696582i | \(-0.754703\pi\) |
0.961996 | + | 0.273062i | \(0.0880364\pi\) | |||||||
\(174\) | 2.93214 | 0.222285 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −5.26819 | −0.397105 | ||||||||
\(177\) | −4.51624 | + | 7.82235i | −0.339461 | + | 0.587964i | ||||
\(178\) | −3.99086 | − | 6.91238i | −0.299128 | − | 0.518105i | ||||
\(179\) | 1.79298 | + | 3.10553i | 0.134014 | + | 0.232119i | 0.925220 | − | 0.379430i | \(-0.123880\pi\) |
−0.791207 | + | 0.611549i | \(0.790547\pi\) | |||||||
\(180\) | −11.5429 | + | 19.9929i | −0.860357 | + | 1.49018i | ||||
\(181\) | −12.2134 | −0.907813 | −0.453906 | − | 0.891049i | \(-0.649970\pi\) | ||||
−0.453906 | + | 0.891049i | \(0.649970\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 9.26295 | 0.684737 | ||||||||
\(184\) | 17.8202 | − | 30.8655i | 1.31372 | − | 2.27544i | ||||
\(185\) | −6.12234 | − | 10.6042i | −0.450123 | − | 0.779637i | ||||
\(186\) | 2.08858 | + | 3.61753i | 0.153142 | + | 0.265250i | ||||
\(187\) | −0.745432 | + | 1.29113i | −0.0545114 | + | 0.0944165i | ||||
\(188\) | −6.26819 | −0.457155 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 37.9855 | 2.75576 | ||||||||
\(191\) | −6.05465 | + | 10.4870i | −0.438099 | + | 0.758810i | −0.997543 | − | 0.0700583i | \(-0.977681\pi\) |
0.559444 | + | 0.828868i | \(0.311015\pi\) | |||||||
\(192\) | 1.85677 | + | 3.21602i | 0.134001 | + | 0.232096i | ||||
\(193\) | 5.96997 | + | 10.3403i | 0.429728 | + | 0.744311i | 0.996849 | − | 0.0793237i | \(-0.0252761\pi\) |
−0.567121 | + | 0.823635i | \(0.691943\pi\) | |||||||
\(194\) | −2.31574 | + | 4.01098i | −0.166260 | + | 0.287971i | ||||
\(195\) | −5.16936 | −0.370185 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 12.1626 | 0.866551 | 0.433275 | − | 0.901262i | \(-0.357358\pi\) | ||||
0.433275 | + | 0.901262i | \(0.357358\pi\) | |||||||
\(198\) | 3.10220 | − | 5.37317i | 0.220464 | − | 0.381855i | ||||
\(199\) | 0.952451 | + | 1.64969i | 0.0675174 | + | 0.116944i | 0.897808 | − | 0.440387i | \(-0.145159\pi\) |
−0.830290 | + | 0.557331i | \(0.811826\pi\) | |||||||
\(200\) | −0.386046 | − | 0.668651i | −0.0272975 | − | 0.0472807i | ||||
\(201\) | 1.63148 | − | 2.82580i | 0.115076 | − | 0.199317i | ||||
\(202\) | 15.0586 | 1.05952 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −4.47259 | −0.313144 | ||||||||
\(205\) | 12.3997 | − | 21.4769i | 0.866030 | − | 1.50001i | ||||
\(206\) | 1.32488 | + | 2.29475i | 0.0923084 | + | 0.159883i | ||||
\(207\) | 8.08393 | + | 14.0018i | 0.561872 | + | 0.973191i | ||||
\(208\) | −8.65685 | + | 14.9941i | −0.600245 | + | 1.03965i | ||||
\(209\) | −6.91794 | −0.478524 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −16.2447 | −1.11833 | −0.559165 | − | 0.829056i | \(-0.688878\pi\) | ||||
−0.559165 | + | 0.829056i | \(0.688878\pi\) | |||||||
\(212\) | −0.640614 | + | 1.10958i | −0.0439975 | + | 0.0762060i | ||||
\(213\) | −4.04103 | − | 6.99927i | −0.276887 | − | 0.479582i | ||||
\(214\) | −7.88605 | − | 13.6590i | −0.539079 | − | 0.933712i | ||||
\(215\) | 5.80660 | − | 10.0573i | 0.396007 | − | 0.685904i | ||||
\(216\) | 21.5129 | 1.46377 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 7.00897 | 0.474707 | ||||||||
\(219\) | −3.05669 | + | 5.29434i | −0.206552 | + | 0.357758i | ||||
\(220\) | −4.63409 | − | 8.02649i | −0.312431 | − | 0.541146i | ||||
\(221\) | 2.44983 | + | 4.24324i | 0.164794 | + | 0.285431i | ||||
\(222\) | −4.93621 | + | 8.54977i | −0.331297 | + | 0.573823i | ||||
\(223\) | −3.03655 | −0.203342 | −0.101671 | − | 0.994818i | \(-0.532419\pi\) | ||||
−0.101671 | + | 0.994818i | \(0.532419\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.350250 | 0.0233500 | ||||||||
\(226\) | −15.8840 | + | 27.5119i | −1.05659 | + | 1.83007i | ||||
\(227\) | 9.22454 | + | 15.9774i | 0.612254 | + | 1.06046i | 0.990860 | + | 0.134897i | \(0.0430705\pi\) |
−0.378605 | + | 0.925558i | \(0.623596\pi\) | |||||||
\(228\) | −10.3769 | − | 17.9733i | −0.687228 | − | 1.19031i | ||||
\(229\) | −12.7499 | + | 22.0835i | −0.842538 | + | 1.45932i | 0.0452039 | + | 0.998978i | \(0.485606\pi\) |
−0.887742 | + | 0.460341i | \(0.847727\pi\) | |||||||
\(230\) | 35.6404 | 2.35006 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 9.05855 | 0.594723 | ||||||||
\(233\) | −1.90880 | + | 3.30614i | −0.125050 | + | 0.216593i | −0.921752 | − | 0.387779i | \(-0.873242\pi\) |
0.796703 | + | 0.604372i | \(0.206576\pi\) | |||||||
\(234\) | −10.1953 | − | 17.6587i | −0.666485 | − | 1.15439i | ||||
\(235\) | −1.64323 | − | 2.84616i | −0.107193 | − | 0.185663i | ||||
\(236\) | −26.6112 | + | 46.0919i | −1.73224 | + | 3.00033i | ||||
\(237\) | 3.30473 | 0.214666 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 13.0037 | 0.841142 | 0.420571 | − | 0.907260i | \(-0.361830\pi\) | ||||
0.420571 | + | 0.907260i | \(0.361830\pi\) | |||||||
\(240\) | 4.14323 | − | 7.17629i | 0.267444 | − | 0.463227i | ||||
\(241\) | −0.225292 | − | 0.390216i | −0.0145123 | − | 0.0251360i | 0.858678 | − | 0.512515i | \(-0.171286\pi\) |
−0.873190 | + | 0.487379i | \(0.837953\pi\) | |||||||
\(242\) | 1.24543 | + | 2.15715i | 0.0800594 | + | 0.138667i | ||||
\(243\) | −7.54551 | + | 13.0692i | −0.484045 | + | 0.838391i | ||||
\(244\) | 54.5804 | 3.49415 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −19.9948 | −1.27482 | ||||||||
\(247\) | −11.3678 | + | 19.6896i | −0.723314 | + | 1.25282i | ||||
\(248\) | 6.45245 | + | 11.1760i | 0.409731 | + | 0.709675i | ||||
\(249\) | −0.690780 | − | 1.19647i | −0.0437764 | − | 0.0758230i | ||||
\(250\) | 14.1132 | − | 24.4448i | 0.892597 | − | 1.54602i | ||||
\(251\) | −1.11861 | −0.0706058 | −0.0353029 | − | 0.999377i | \(-0.511240\pi\) | ||||
−0.0353029 | + | 0.999377i | \(0.511240\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −6.49086 | −0.408077 | ||||||||
\(254\) | −15.4153 | + | 26.7001i | −0.967243 | + | 1.67531i | ||||
\(255\) | −1.17251 | − | 2.03084i | −0.0734253 | − | 0.127176i | ||||
\(256\) | 16.2727 | + | 28.1851i | 1.01704 | + | 1.76157i | ||||
\(257\) | −11.4198 | + | 19.7797i | −0.712348 | + | 1.23382i | 0.251626 | + | 0.967825i | \(0.419035\pi\) |
−0.963974 | + | 0.265998i | \(0.914298\pi\) | |||||||
\(258\) | −9.36329 | −0.582933 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −30.4596 | −1.88902 | ||||||||
\(261\) | −2.05465 | + | 3.55876i | −0.127180 | + | 0.220282i | ||||
\(262\) | −0.945349 | − | 1.63739i | −0.0584038 | − | 0.101158i | ||||
\(263\) | 4.59568 | + | 7.95995i | 0.283382 | + | 0.490832i | 0.972215 | − | 0.234088i | \(-0.0752103\pi\) |
−0.688834 | + | 0.724919i | \(0.741877\pi\) | |||||||
\(264\) | −1.95897 | + | 3.39304i | −0.120566 | + | 0.208827i | ||||
\(265\) | −0.671758 | −0.0412658 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −2.28646 | −0.139929 | ||||||||
\(268\) | 9.61320 | − | 16.6506i | 0.587220 | − | 1.01709i | ||||
\(269\) | −7.80660 | − | 13.5214i | −0.475977 | − | 0.824416i | 0.523644 | − | 0.851937i | \(-0.324572\pi\) |
−0.999621 | + | 0.0275208i | \(0.991239\pi\) | |||||||
\(270\) | 10.7564 | + | 18.6307i | 0.654616 | + | 1.13383i | ||||
\(271\) | 13.8723 | − | 24.0275i | 0.842680 | − | 1.45956i | −0.0449415 | − | 0.998990i | \(-0.514310\pi\) |
0.887621 | − | 0.460574i | \(-0.152357\pi\) | |||||||
\(272\) | −7.85415 | −0.476228 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 14.5494 | 0.878962 | ||||||||
\(275\) | −0.0703069 | + | 0.121775i | −0.00423967 | + | 0.00734332i | ||||
\(276\) | −9.73630 | − | 16.8638i | −0.586056 | − | 1.01508i | ||||
\(277\) | −7.40619 | − | 12.8279i | −0.444995 | − | 0.770753i | 0.553057 | − | 0.833143i | \(-0.313461\pi\) |
−0.998052 | + | 0.0623900i | \(0.980128\pi\) | |||||||
\(278\) | 6.94070 | − | 12.0216i | 0.416275 | − | 0.721010i | ||||
\(279\) | −5.85415 | −0.350479 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 15.2227 | 0.908109 | 0.454054 | − | 0.890974i | \(-0.349977\pi\) | ||||
0.454054 | + | 0.890974i | \(0.349977\pi\) | |||||||
\(282\) | −1.32488 | + | 2.29475i | −0.0788952 | + | 0.136650i | ||||
\(283\) | 10.8586 | + | 18.8077i | 0.645479 | + | 1.11800i | 0.984191 | + | 0.177112i | \(0.0566755\pi\) |
−0.338712 | + | 0.940890i | \(0.609991\pi\) | |||||||
\(284\) | −23.8111 | − | 41.2420i | −1.41293 | − | 2.44726i | ||||
\(285\) | 5.44070 | − | 9.42356i | 0.322279 | − | 0.558204i | ||||
\(286\) | 8.18613 | 0.484056 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 5.33198 | 0.314190 | ||||||||
\(289\) | 7.38866 | − | 12.7975i | 0.434627 | − | 0.752796i | ||||
\(290\) | 4.52928 | + | 7.84494i | 0.265968 | + | 0.460671i | ||||
\(291\) | 0.663371 | + | 1.14899i | 0.0388875 | + | 0.0673551i | ||||
\(292\) | −18.0110 | + | 31.1960i | −1.05401 | + | 1.82561i | ||||
\(293\) | −11.1276 | −0.650080 | −0.325040 | − | 0.945700i | \(-0.605378\pi\) | ||||
−0.325040 | + | 0.945700i | \(0.605378\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −27.9049 | −1.62469 | ||||||||
\(296\) | −15.2499 | + | 26.4136i | −0.886383 | + | 1.53526i | ||||
\(297\) | −1.95897 | − | 3.39304i | −0.113671 | − | 0.196884i | ||||
\(298\) | −1.24543 | − | 2.15715i | −0.0721459 | − | 0.124960i | ||||
\(299\) | −10.6660 | + | 18.4740i | −0.616830 | + | 1.06838i | ||||
\(300\) | −0.421841 | −0.0243550 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −36.9672 | −2.12722 | ||||||||
\(303\) | 2.15685 | − | 3.73578i | 0.123908 | − | 0.214615i | ||||
\(304\) | −18.2225 | − | 31.5623i | −1.04513 | − | 1.81022i | ||||
\(305\) | 14.3085 | + | 24.7830i | 0.819301 | + | 1.41907i | ||||
\(306\) | 4.62496 | − | 8.01066i | 0.264391 | − | 0.457939i | ||||
\(307\) | −24.9855 | −1.42600 | −0.712998 | − | 0.701166i | \(-0.752663\pi\) | ||||
−0.712998 | + | 0.701166i | \(0.752663\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.759053 | 0.0431810 | ||||||||
\(310\) | −6.45245 | + | 11.1760i | −0.366475 | + | 0.634753i | ||||
\(311\) | 17.3704 | + | 30.0864i | 0.984984 | + | 1.70604i | 0.642005 | + | 0.766700i | \(0.278103\pi\) |
0.342979 | + | 0.939343i | \(0.388564\pi\) | |||||||
\(312\) | 6.43808 | + | 11.1511i | 0.364484 | + | 0.631306i | ||||
\(313\) | 11.8547 | − | 20.5330i | 0.670069 | − | 1.16059i | −0.307815 | − | 0.951446i | \(-0.599598\pi\) |
0.977884 | − | 0.209148i | \(-0.0670689\pi\) | |||||||
\(314\) | 15.9179 | 0.898301 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 19.4726 | 1.09542 | ||||||||
\(317\) | −9.83850 | + | 17.0408i | −0.552585 | + | 0.957105i | 0.445502 | + | 0.895281i | \(0.353025\pi\) |
−0.998087 | + | 0.0618244i | \(0.980308\pi\) | |||||||
\(318\) | 0.270807 | + | 0.469051i | 0.0151861 | + | 0.0263031i | ||||
\(319\) | −0.824875 | − | 1.42873i | −0.0461841 | − | 0.0799933i | ||||
\(320\) | −5.73630 | + | 9.93556i | −0.320669 | + | 0.555414i | ||||
\(321\) | −4.51811 | −0.252176 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −10.3137 | −0.573870 | ||||||||
\(324\) | −9.83198 | + | 17.0295i | −0.546221 | + | 0.946082i | ||||
\(325\) | 0.231061 | + | 0.400209i | 0.0128170 | + | 0.0221996i | ||||
\(326\) | 12.3860 | + | 21.4533i | 0.686000 | + | 1.18819i | ||||
\(327\) | 1.00390 | − | 1.73881i | 0.0555159 | − | 0.0961564i | ||||
\(328\) | −61.7718 | −3.41077 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −3.91794 | −0.215675 | ||||||||
\(331\) | 14.0949 | − | 24.4131i | 0.774728 | − | 1.34187i | −0.160220 | − | 0.987081i | \(-0.551220\pi\) |
0.934947 | − | 0.354786i | \(-0.115446\pi\) | |||||||
\(332\) | −4.07031 | − | 7.04998i | −0.223387 | − | 0.386918i | ||||
\(333\) | −6.91794 | − | 11.9822i | −0.379101 | − | 0.656622i | ||||
\(334\) | 2.41794 | − | 4.18799i | 0.132304 | − | 0.229157i | ||||
\(335\) | 10.0806 | 0.550760 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 21.7460 | 1.18458 | 0.592290 | − | 0.805725i | \(-0.298224\pi\) | ||||
0.592290 | + | 0.805725i | \(0.298224\pi\) | |||||||
\(338\) | −2.73891 | + | 4.74394i | −0.148977 | + | 0.258036i | ||||
\(339\) | 4.55017 | + | 7.88112i | 0.247131 | + | 0.428044i | ||||
\(340\) | −6.90880 | − | 11.9664i | −0.374682 | − | 0.648969i | ||||
\(341\) | 1.17512 | − | 2.03538i | 0.0636366 | − | 0.110222i | ||||
\(342\) | 42.9217 | 2.32094 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −28.9269 | −1.55963 | ||||||||
\(345\) | 5.10482 | − | 8.84180i | 0.274834 | − | 0.476027i | ||||
\(346\) | −8.01100 | − | 13.8755i | −0.430674 | − | 0.745950i | ||||
\(347\) | 1.97072 | + | 3.41339i | 0.105794 | + | 0.183241i | 0.914062 | − | 0.405574i | \(-0.132928\pi\) |
−0.808268 | + | 0.588814i | \(0.799595\pi\) | |||||||
\(348\) | 2.47463 | − | 4.28618i | 0.132654 | − | 0.229763i | ||||
\(349\) | 14.1093 | 0.755254 | 0.377627 | − | 0.925958i | \(-0.376740\pi\) | ||||
0.377627 | + | 0.925958i | \(0.376740\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −12.8762 | −0.687279 | ||||||||
\(352\) | −1.07031 | + | 1.85383i | −0.0570475 | + | 0.0988093i | ||||
\(353\) | −2.48434 | − | 4.30301i | −0.132228 | − | 0.229026i | 0.792307 | − | 0.610123i | \(-0.208880\pi\) |
−0.924535 | + | 0.381097i | \(0.875547\pi\) | |||||||
\(354\) | 11.2493 | + | 19.4844i | 0.597895 | + | 1.03559i | ||||
\(355\) | 12.4843 | − | 21.6235i | 0.662600 | − | 1.14766i | ||||
\(356\) | −13.4726 | −0.714046 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 8.93214 | 0.472078 | ||||||||
\(359\) | 2.03580 | − | 3.52610i | 0.107445 | − | 0.186101i | −0.807289 | − | 0.590156i | \(-0.799066\pi\) |
0.914735 | + | 0.404055i | \(0.132400\pi\) | |||||||
\(360\) | 15.0748 | + | 26.1103i | 0.794511 | + | 1.37613i | ||||
\(361\) | −14.4289 | − | 24.9917i | −0.759418 | − | 1.31535i | ||||
\(362\) | −15.2109 | + | 26.3461i | −0.799468 | + | 1.38472i | ||||
\(363\) | 0.713538 | 0.0374510 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −18.8866 | −0.988571 | ||||||||
\(366\) | 11.5364 | − | 19.9816i | 0.603016 | − | 1.04445i | ||||
\(367\) | −9.01100 | − | 15.6075i | −0.470371 | − | 0.814706i | 0.529055 | − | 0.848587i | \(-0.322546\pi\) |
−0.999426 | + | 0.0338816i | \(0.989213\pi\) | |||||||
\(368\) | −17.0975 | − | 29.6138i | −0.891271 | − | 1.54373i | ||||
\(369\) | 14.0110 | − | 24.2678i | 0.729384 | − | 1.26333i | ||||
\(370\) | −30.4998 | −1.58561 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 7.05075 | 0.365564 | ||||||||
\(373\) | −14.4582 | + | 25.0424i | −0.748618 | + | 1.29664i | 0.199867 | + | 0.979823i | \(0.435949\pi\) |
−0.948485 | + | 0.316822i | \(0.897384\pi\) | |||||||
\(374\) | 1.85677 | + | 3.21602i | 0.0960112 | + | 0.166296i | ||||
\(375\) | −4.04290 | − | 7.00250i | −0.208774 | − | 0.361608i | ||||
\(376\) | −4.09306 | + | 7.08940i | −0.211084 | + | 0.365608i | ||||
\(377\) | −5.42184 | −0.279239 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.30847 | 0.221311 | 0.110656 | − | 0.993859i | \(-0.464705\pi\) | ||||
0.110656 | + | 0.993859i | \(0.464705\pi\) | |||||||
\(380\) | 32.0584 | − | 55.5268i | 1.64456 | − | 2.84846i | ||||
\(381\) | 4.41591 | + | 7.64857i | 0.226234 | + | 0.391848i | ||||
\(382\) | 15.0813 | + | 26.1216i | 0.771627 | + | 1.33650i | ||||
\(383\) | −6.17438 | + | 10.6943i | −0.315496 | + | 0.546455i | −0.979543 | − | 0.201236i | \(-0.935504\pi\) |
0.664047 | + | 0.747691i | \(0.268837\pi\) | |||||||
\(384\) | 12.3047 | 0.627923 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 29.7408 | 1.51377 | ||||||||
\(387\) | 6.56117 | − | 11.3643i | 0.333523 | − | 0.577679i | ||||
\(388\) | 3.90880 | + | 6.77025i | 0.198439 | + | 0.343707i | ||||
\(389\) | −14.7115 | − | 25.4811i | −0.745903 | − | 1.29194i | −0.949772 | − | 0.312943i | \(-0.898685\pi\) |
0.203869 | − | 0.978998i | \(-0.434648\pi\) | |||||||
\(390\) | −6.43808 | + | 11.1511i | −0.326005 | + | 0.564657i | ||||
\(391\) | −9.67699 | −0.489387 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −0.541613 | −0.0273208 | ||||||||
\(394\) | 15.1477 | − | 26.2366i | 0.763131 | − | 1.32178i | ||||
\(395\) | 5.10482 | + | 8.84180i | 0.256851 | + | 0.444879i | ||||
\(396\) | −5.23630 | − | 9.06953i | −0.263134 | − | 0.455761i | ||||
\(397\) | −8.64975 | + | 14.9818i | −0.434119 | + | 0.751915i | −0.997223 | − | 0.0744702i | \(-0.976273\pi\) |
0.563105 | + | 0.826386i | \(0.309607\pi\) | |||||||
\(398\) | 4.74485 | 0.237838 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.740780 | −0.0370390 | ||||||||
\(401\) | 12.4752 | − | 21.6077i | 0.622982 | − | 1.07904i | −0.365945 | − | 0.930636i | \(-0.619254\pi\) |
0.988927 | − | 0.148400i | \(-0.0474124\pi\) | |||||||
\(402\) | −4.06379 | − | 7.03869i | −0.202683 | − | 0.351058i | ||||
\(403\) | −3.86200 | − | 6.68919i | −0.192380 | − | 0.333212i | ||||
\(404\) | 12.7089 | − | 22.0124i | 0.632291 | − | 1.09516i | ||||
\(405\) | −10.3100 | −0.512306 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 5.55465 | 0.275334 | ||||||||
\(408\) | −2.92056 | + | 5.05855i | −0.144589 | + | 0.250436i | ||||
\(409\) | −19.2792 | − | 33.3925i | −0.953295 | − | 1.65115i | −0.738223 | − | 0.674557i | \(-0.764335\pi\) |
−0.215072 | − | 0.976598i | \(-0.568999\pi\) | |||||||
\(410\) | −30.8859 | − | 53.4959i | −1.52534 | − | 2.64197i | ||||
\(411\) | 2.08393 | − | 3.60947i | 0.102793 | − | 0.178042i | ||||
\(412\) | 4.47259 | 0.220349 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 40.2719 | 1.97926 | ||||||||
\(415\) | 2.13409 | − | 3.69636i | 0.104759 | − | 0.181447i | ||||
\(416\) | 3.51752 | + | 6.09253i | 0.172461 | + | 0.298711i | ||||
\(417\) | −1.98825 | − | 3.44374i | −0.0973648 | − | 0.168641i | ||||
\(418\) | −8.61582 | + | 14.9230i | −0.421414 | + | 0.729910i | ||||
\(419\) | −0.908970 | −0.0444061 | −0.0222030 | − | 0.999753i | \(-0.507068\pi\) | ||||
−0.0222030 | + | 0.999753i | \(0.507068\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 15.5532 | 0.758014 | 0.379007 | − | 0.925394i | \(-0.376266\pi\) | ||||
0.379007 | + | 0.925394i | \(0.376266\pi\) | |||||||
\(422\) | −20.2316 | + | 35.0422i | −0.984861 | + | 1.70583i | ||||
\(423\) | −1.85677 | − | 3.21602i | −0.0902792 | − | 0.156368i | ||||
\(424\) | 0.836629 | + | 1.44908i | 0.0406303 | + | 0.0703737i | ||||
\(425\) | −0.104818 | + | 0.181550i | −0.00508442 | + | 0.00880647i | ||||
\(426\) | −20.1313 | −0.975365 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −26.6222 | −1.28683 | ||||||||
\(429\) | 1.17251 | − | 2.03084i | 0.0566092 | − | 0.0980500i | ||||
\(430\) | −14.4635 | − | 25.0514i | −0.697490 | − | 1.20809i | ||||
\(431\) | −1.76819 | − | 3.06259i | −0.0851707 | − | 0.147520i | 0.820293 | − | 0.571943i | \(-0.193810\pi\) |
−0.905464 | + | 0.424423i | \(0.860477\pi\) | |||||||
\(432\) | 10.3202 | − | 17.8752i | 0.496532 | − | 0.860019i | ||||
\(433\) | −17.6457 | −0.847997 | −0.423999 | − | 0.905663i | \(-0.639374\pi\) | ||||
−0.423999 | + | 0.905663i | \(0.639374\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 2.59493 | 0.124417 | ||||||||
\(436\) | 5.91532 | − | 10.2456i | 0.283293 | − | 0.490677i | ||||
\(437\) | −22.4517 | − | 38.8875i | −1.07401 | − | 1.86024i | ||||
\(438\) | 7.61379 | + | 13.1875i | 0.363801 | + | 0.630122i | ||||
\(439\) | 7.51362 | − | 13.0140i | 0.358606 | − | 0.621123i | −0.629123 | − | 0.777306i | \(-0.716586\pi\) |
0.987728 | + | 0.156183i | \(0.0499190\pi\) | |||||||
\(440\) | −12.1041 | −0.577039 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 12.2044 | 0.580504 | ||||||||
\(443\) | −6.61134 | + | 11.4512i | −0.314114 | + | 0.544062i | −0.979249 | − | 0.202662i | \(-0.935041\pi\) |
0.665135 | + | 0.746723i | \(0.268374\pi\) | |||||||
\(444\) | 8.33198 | + | 14.4314i | 0.395418 | + | 0.684884i | ||||
\(445\) | −3.53189 | − | 6.11742i | −0.167428 | − | 0.289994i | ||||
\(446\) | −3.78181 | + | 6.55029i | −0.179074 | + | 0.310165i | ||||
\(447\) | −0.713538 | −0.0337492 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −9.90864 | −0.467617 | −0.233809 | − | 0.972283i | \(-0.575119\pi\) | ||||
−0.233809 | + | 0.972283i | \(0.575119\pi\) | |||||||
\(450\) | 0.436212 | − | 0.755542i | 0.0205632 | − | 0.0356166i | ||||
\(451\) | 5.62496 | + | 9.74271i | 0.264869 | + | 0.458766i | ||||
\(452\) | 26.8111 | + | 46.4382i | 1.26109 | + | 2.18427i | ||||
\(453\) | −5.29485 | + | 9.17095i | −0.248774 | + | 0.430889i | ||||
\(454\) | 45.9542 | 2.15674 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −27.1041 | −1.26926 | ||||||||
\(457\) | −5.17251 | + | 8.95905i | −0.241960 | + | 0.419087i | −0.961272 | − | 0.275600i | \(-0.911124\pi\) |
0.719313 | + | 0.694686i | \(0.244457\pi\) | |||||||
\(458\) | 31.7583 | + | 55.0070i | 1.48397 | + | 2.57031i | ||||
\(459\) | −2.92056 | − | 5.05855i | −0.136320 | − | 0.236113i | ||||
\(460\) | 30.0793 | − | 52.0988i | 1.40245 | − | 2.42912i | ||||
\(461\) | 15.3372 | 0.714325 | 0.357163 | − | 0.934042i | \(-0.383744\pi\) | ||||
0.357163 | + | 0.934042i | \(0.383744\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −25.1313 | −1.16795 | −0.583976 | − | 0.811771i | \(-0.698504\pi\) | ||||
−0.583976 | + | 0.811771i | \(0.698504\pi\) | |||||||
\(464\) | 4.34560 | − | 7.52680i | 0.201739 | − | 0.349423i | ||||
\(465\) | 1.84838 | + | 3.20149i | 0.0857167 | + | 0.148466i | ||||
\(466\) | 4.75457 | + | 8.23515i | 0.220251 | + | 0.381486i | ||||
\(467\) | −0.373007 | + | 0.646068i | −0.0172607 | + | 0.0298964i | −0.874527 | − | 0.484977i | \(-0.838828\pi\) |
0.857266 | + | 0.514874i | \(0.172161\pi\) | |||||||
\(468\) | −34.4178 | −1.59096 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −8.18613 | −0.377598 | ||||||||
\(471\) | 2.27994 | − | 3.94898i | 0.105054 | − | 0.181959i | ||||
\(472\) | 34.7537 | + | 60.1951i | 1.59967 | + | 2.77070i | ||||
\(473\) | 2.63409 | + | 4.56239i | 0.121116 | + | 0.209779i | ||||
\(474\) | 4.11582 | − | 7.12881i | 0.189046 | − | 0.327437i | ||||
\(475\) | −0.972758 | −0.0446332 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −0.759053 | −0.0347546 | ||||||||
\(478\) | 16.1953 | − | 28.0510i | 0.740754 | − | 1.28302i | ||||
\(479\) | −10.0565 | − | 17.4184i | −0.459494 | − | 0.795867i | 0.539440 | − | 0.842024i | \(-0.318636\pi\) |
−0.998934 | + | 0.0461569i | \(0.985303\pi\) | |||||||
\(480\) | −1.68351 | − | 2.91593i | −0.0768414 | − | 0.133093i | ||||
\(481\) | 9.12758 | − | 15.8094i | 0.416182 | − | 0.720848i | ||||
\(482\) | −1.12234 | −0.0511212 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 4.20440 | 0.191109 | ||||||||
\(485\) | −2.04942 | + | 3.54969i | −0.0930592 | + | 0.161183i | ||||
\(486\) | 18.7948 | + | 32.5536i | 0.852552 | + | 1.47666i | ||||
\(487\) | 2.12496 | + | 3.68054i | 0.0962911 | + | 0.166781i | 0.910147 | − | 0.414286i | \(-0.135969\pi\) |
−0.813856 | + | 0.581067i | \(0.802635\pi\) | |||||||
\(488\) | 35.6404 | − | 61.7311i | 1.61337 | − | 2.79443i | ||||
\(489\) | 7.09626 | 0.320904 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 30.3279 | 1.36868 | 0.684340 | − | 0.729163i | \(-0.260091\pi\) | ||||
0.684340 | + | 0.729163i | \(0.260091\pi\) | |||||||
\(492\) | −16.8749 | + | 29.2281i | −0.760778 | + | 1.31771i | ||||
\(493\) | −1.22978 | − | 2.13003i | −0.0553863 | − | 0.0959320i | ||||
\(494\) | 28.3156 | + | 49.0440i | 1.27398 | + | 2.20659i | ||||
\(495\) | 2.74543 | − | 4.75523i | 0.123398 | − | 0.213732i | ||||
\(496\) | 12.3816 | 0.555948 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −3.44128 | −0.154207 | ||||||||
\(499\) | −7.22064 | + | 12.5065i | −0.323240 | + | 0.559869i | −0.981155 | − | 0.193224i | \(-0.938106\pi\) |
0.657914 | + | 0.753093i | \(0.271439\pi\) | |||||||
\(500\) | −23.8221 | − | 41.2611i | −1.06536 | − | 1.84525i | ||||
\(501\) | −0.692648 | − | 1.19970i | −0.0309452 | − | 0.0535987i | ||||
\(502\) | −1.39315 | + | 2.41300i | −0.0621792 | + | 0.107698i | ||||
\(503\) | 2.95822 | 0.131901 | 0.0659503 | − | 0.997823i | \(-0.478992\pi\) | ||||
0.0659503 | + | 0.997823i | \(0.478992\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 13.3267 | 0.593032 | ||||||||
\(506\) | −8.08393 | + | 14.0018i | −0.359374 | + | 0.622455i | ||||
\(507\) | 0.784595 | + | 1.35896i | 0.0348451 | + | 0.0603534i | ||||
\(508\) | 26.0200 | + | 45.0679i | 1.15445 | + | 1.99957i | ||||
\(509\) | −12.4953 | + | 21.6426i | −0.553847 | + | 0.959290i | 0.444146 | + | 0.895955i | \(0.353507\pi\) |
−0.997992 | + | 0.0633358i | \(0.979826\pi\) | |||||||
\(510\) | −5.84111 | −0.258649 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 46.5767 | 2.05842 | ||||||||
\(513\) | 13.5520 | − | 23.4728i | 0.598337 | − | 1.03635i | ||||
\(514\) | 28.4452 | + | 49.2685i | 1.25466 | + | 2.17314i | ||||
\(515\) | 1.17251 | + | 2.03084i | 0.0516669 | + | 0.0894896i | ||||
\(516\) | −7.90228 | + | 13.6872i | −0.347879 | + | 0.602544i | ||||
\(517\) | 1.49086 | 0.0655681 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −4.58970 | −0.201465 | ||||||||
\(520\) | −19.8898 | + | 34.4501i | −0.872225 | + | 1.51074i | ||||
\(521\) | 14.4316 | + | 24.9962i | 0.632258 | + | 1.09510i | 0.987089 | + | 0.160173i | \(0.0512051\pi\) |
−0.354831 | + | 0.934931i | \(0.615462\pi\) | |||||||
\(522\) | 5.11786 | + | 8.86439i | 0.224002 | + | 0.387984i | ||||
\(523\) | 0.236295 | − | 0.409276i | 0.0103325 | − | 0.0178964i | −0.860813 | − | 0.508921i | \(-0.830044\pi\) |
0.871145 | + | 0.491025i | \(0.163378\pi\) | |||||||
\(524\) | −3.19136 | −0.139415 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 22.8944 | 0.998245 | ||||||||
\(527\) | 1.75195 | − | 3.03447i | 0.0763162 | − | 0.132184i | ||||
\(528\) | 1.87953 | + | 3.25544i | 0.0817959 | + | 0.141675i | ||||
\(529\) | −9.56566 | − | 16.5682i | −0.415898 | − | 0.720357i | ||||
\(530\) | −0.836629 | + | 1.44908i | −0.0363408 | + | 0.0629442i | ||||
\(531\) | −31.5311 | −1.36834 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 36.9724 | 1.60145 | ||||||||
\(534\) | −2.84763 | + | 4.93224i | −0.123229 | + | 0.213439i | ||||
\(535\) | −6.97911 | − | 12.0882i | −0.301733 | − | 0.522617i | ||||
\(536\) | −12.5547 | − | 21.7453i | −0.542278 | − | 0.939254i | ||||
\(537\) | 1.27936 | − | 2.21592i | 0.0552085 | − | 0.0956239i | ||||
\(538\) | −38.8904 | −1.67668 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 36.3122 | 1.56263 | ||||||||
\(541\) | −7.72978 | + | 13.3884i | −0.332329 | + | 0.575611i | −0.982968 | − | 0.183776i | \(-0.941168\pi\) |
0.650639 | + | 0.759387i | \(0.274501\pi\) | |||||||
\(542\) | −34.5539 | − | 59.8491i | −1.48422 | − | 2.57074i | ||||
\(543\) | 4.35735 | + | 7.54715i | 0.186992 | + | 0.323879i | ||||
\(544\) | −1.59568 | + | 2.76380i | −0.0684143 | + | 0.118497i | ||||
\(545\) | 6.20290 | 0.265703 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −35.0440 | −1.49837 | −0.749187 | − | 0.662359i | \(-0.769556\pi\) | ||||
−0.749187 | + | 0.662359i | \(0.769556\pi\) | |||||||
\(548\) | 12.2792 | − | 21.2682i | 0.524541 | − | 0.908532i | ||||
\(549\) | 16.1679 | + | 28.0035i | 0.690027 | + | 1.19516i | ||||
\(550\) | 0.175125 | + | 0.303325i | 0.00746735 | + | 0.0129338i | ||||
\(551\) | 5.70644 | − | 9.88384i | 0.243102 | − | 0.421066i | ||||
\(552\) | −25.4308 | −1.08241 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −36.8956 | −1.56754 | ||||||||
\(555\) | −4.36852 | + | 7.56650i | −0.185433 | + | 0.321180i | ||||
\(556\) | −11.7154 | − | 20.2917i | −0.496844 | − | 0.860559i | ||||
\(557\) | −5.26632 | − | 9.12154i | −0.223141 | − | 0.386492i | 0.732619 | − | 0.680639i | \(-0.238298\pi\) |
−0.955760 | + | 0.294147i | \(0.904964\pi\) | |||||||
\(558\) | −7.29095 | + | 12.6283i | −0.308650 | + | 0.534598i | ||||
\(559\) | 17.3137 | 0.732292 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.06379 | 0.0449132 | ||||||||
\(562\) | 18.9588 | − | 32.8376i | 0.799729 | − | 1.38517i | ||||
\(563\) | −15.3574 | − | 26.5997i | −0.647235 | − | 1.12104i | −0.983780 | − | 0.179377i | \(-0.942592\pi\) |
0.336545 | − | 0.941667i | \(-0.390742\pi\) | |||||||
\(564\) | 2.23630 | + | 3.87338i | 0.0941650 | + | 0.163099i | ||||
\(565\) | −14.0573 | + | 24.3479i | −0.591394 | + | 1.02432i | ||||
\(566\) | 54.0948 | 2.27377 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −62.1936 | −2.60959 | ||||||||
\(569\) | 15.3860 | − | 26.6494i | 0.645017 | − | 1.11720i | −0.339281 | − | 0.940685i | \(-0.610184\pi\) |
0.984298 | − | 0.176516i | \(-0.0564829\pi\) | |||||||
\(570\) | −13.5520 | − | 23.4728i | −0.567632 | − | 0.983168i | ||||
\(571\) | 3.75847 | + | 6.50986i | 0.157287 | + | 0.272429i | 0.933889 | − | 0.357562i | \(-0.116392\pi\) |
−0.776602 | + | 0.629991i | \(0.783059\pi\) | |||||||
\(572\) | 6.90880 | − | 11.9664i | 0.288872 | − | 0.500340i | ||||
\(573\) | 8.64045 | 0.360960 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.912705 | −0.0380624 | ||||||||
\(576\) | −6.48173 | + | 11.2267i | −0.270072 | + | 0.467778i | ||||
\(577\) | 13.8092 | + | 23.9183i | 0.574885 | + | 0.995731i | 0.996054 | + | 0.0887483i | \(0.0282867\pi\) |
−0.421169 | + | 0.906982i | \(0.638380\pi\) | |||||||
\(578\) | −18.4042 | − | 31.8769i | −0.765512 | − | 1.32591i | ||||
\(579\) | 4.25980 | − | 7.37819i | 0.177031 | − | 0.306627i | ||||
\(580\) | 15.2902 | 0.634891 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 3.30473 | 0.136986 | ||||||||
\(583\) | 0.152367 | − | 0.263908i | 0.00631041 | − | 0.0109300i | ||||
\(584\) | 23.5220 | + | 40.7413i | 0.973348 | + | 1.68589i | ||||
\(585\) | −9.02276 | − | 15.6279i | −0.373045 | − | 0.646133i | ||||
\(586\) | −13.8586 | + | 24.0039i | −0.572495 | + | 0.991590i | ||||
\(587\) | 29.9582 | 1.23651 | 0.618254 | − | 0.785978i | \(-0.287840\pi\) | ||||
0.618254 | + | 0.785978i | \(0.287840\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 16.2589 | 0.669936 | ||||||||
\(590\) | −34.7537 | + | 60.1951i | −1.43079 | + | 2.47819i | ||||
\(591\) | −4.33925 | − | 7.51579i | −0.178493 | − | 0.309158i | ||||
\(592\) | 14.6315 | + | 25.3425i | 0.601350 | + | 1.04157i | ||||
\(593\) | 6.33401 | − | 10.9708i | 0.260107 | − | 0.450518i | −0.706163 | − | 0.708049i | \(-0.749576\pi\) |
0.966270 | + | 0.257531i | \(0.0829089\pi\) | |||||||
\(594\) | −9.75905 | −0.400419 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −4.20440 | −0.172219 | ||||||||
\(597\) | 0.679610 | − | 1.17712i | 0.0278146 | − | 0.0481762i | ||||
\(598\) | 26.5675 | + | 46.0163i | 1.08643 | + | 1.88175i | ||||
\(599\) | −0.647133 | − | 1.12087i | −0.0264411 | − | 0.0457974i | 0.852502 | − | 0.522724i | \(-0.175084\pi\) |
−0.878943 | + | 0.476926i | \(0.841751\pi\) | |||||||
\(600\) | −0.275458 | + | 0.477108i | −0.0112455 | + | 0.0194778i | ||||
\(601\) | 41.0220 | 1.67332 | 0.836661 | − | 0.547721i | \(-0.184504\pi\) | ||||
0.836661 | + | 0.547721i | \(0.184504\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 11.3905 | 0.463858 | ||||||||
\(604\) | −31.1990 | + | 54.0383i | −1.26947 | + | 2.19879i | ||||
\(605\) | 1.10220 | + | 1.90907i | 0.0448108 | + | 0.0776146i | ||||
\(606\) | −5.37242 | − | 9.30531i | −0.218240 | − | 0.378002i | ||||
\(607\) | −10.5884 | + | 18.3397i | −0.429770 | + | 0.744384i | −0.996853 | − | 0.0792770i | \(-0.974739\pi\) |
0.567082 | + | 0.823661i | \(0.308072\pi\) | |||||||
\(608\) | −14.8086 | −0.600570 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 71.2809 | 2.88608 | ||||||||
\(611\) | 2.44983 | − | 4.24324i | 0.0991096 | − | 0.171663i | ||||
\(612\) | −7.80660 | − | 13.5214i | −0.315563 | − | 0.546571i | ||||
\(613\) | −3.38156 | − | 5.85704i | −0.136580 | − | 0.236563i | 0.789620 | − | 0.613596i | \(-0.210278\pi\) |
−0.926200 | + | 0.377033i | \(0.876944\pi\) | |||||||
\(614\) | −31.1177 | + | 53.8974i | −1.25581 | + | 2.17512i | ||||
\(615\) | −17.6953 | −0.713542 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −41.0728 | −1.65353 | −0.826763 | − | 0.562550i | \(-0.809820\pi\) | ||||
−0.826763 | + | 0.562550i | \(0.809820\pi\) | |||||||
\(618\) | 0.945349 | − | 1.63739i | 0.0380275 | − | 0.0658656i | ||||
\(619\) | −15.2134 | − | 26.3503i | −0.611477 | − | 1.05911i | −0.990992 | − | 0.133924i | \(-0.957242\pi\) |
0.379515 | − | 0.925186i | \(-0.376091\pi\) | |||||||
\(620\) | 10.8913 | + | 18.8643i | 0.437404 | + | 0.757607i | ||||
\(621\) | 12.7154 | − | 22.0237i | 0.510252 | − | 0.883782i | ||||
\(622\) | 86.5345 | 3.46972 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 12.3540 | 0.494555 | ||||||||
\(625\) | 12.1386 | − | 21.0246i | 0.485543 | − | 0.840985i | ||||
\(626\) | −29.5285 | − | 51.1449i | −1.18020 | − | 2.04416i | ||||
\(627\) | 2.46811 | + | 4.27489i | 0.0985667 | + | 0.170722i | ||||
\(628\) | 13.4342 | − | 23.2687i | 0.536082 | − | 0.928521i | ||||
\(629\) | 8.28123 | 0.330194 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 12.3670 | 0.492323 | 0.246162 | − | 0.969229i | \(-0.420831\pi\) | ||||
0.246162 | + | 0.969229i | \(0.420831\pi\) | |||||||
\(632\) | 12.7154 | − | 22.0237i | 0.505792 | − | 0.876057i | ||||
\(633\) | 5.79560 | + | 10.0383i | 0.230354 | + | 0.398985i | ||||
\(634\) | 24.5064 | + | 42.4462i | 0.973272 | + | 1.68576i | ||||
\(635\) | −13.6425 | + | 23.6295i | −0.541385 | + | 0.937707i | ||||
\(636\) | 0.914205 | 0.0362506 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −4.10930 | −0.162689 | ||||||||
\(639\) | 14.1067 | − | 24.4335i | 0.558052 | − | 0.966574i | ||||
\(640\) | 19.0071 | + | 32.9213i | 0.751322 | + | 1.30133i | ||||
\(641\) | 23.5657 | + | 40.8169i | 0.930787 | + | 1.61217i | 0.781979 | + | 0.623305i | \(0.214211\pi\) |
0.148809 | + | 0.988866i | \(0.452456\pi\) | |||||||
\(642\) | −5.62699 | + | 9.74624i | −0.222080 | + | 0.384653i | ||||
\(643\) | −1.87242 | −0.0738412 | −0.0369206 | − | 0.999318i | \(-0.511755\pi\) | ||||
−0.0369206 | + | 0.999318i | \(0.511755\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −8.28646 | −0.326279 | ||||||||
\(646\) | −12.8450 | + | 22.2482i | −0.505380 | + | 0.875344i | ||||
\(647\) | −0.917939 | − | 1.58992i | −0.0360879 | − | 0.0625061i | 0.847417 | − | 0.530927i | \(-0.178156\pi\) |
−0.883505 | + | 0.468421i | \(0.844823\pi\) | |||||||
\(648\) | 12.8404 | + | 22.2402i | 0.504417 | + | 0.873676i | ||||
\(649\) | 6.32936 | − | 10.9628i | 0.248449 | − | 0.430326i | ||||
\(650\) | 1.15108 | 0.0451492 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 41.8135 | 1.63754 | ||||||||
\(653\) | 9.08858 | − | 15.7419i | 0.355664 | − | 0.616027i | −0.631568 | − | 0.775321i | \(-0.717588\pi\) |
0.987231 | + | 0.159293i | \(0.0509216\pi\) | |||||||
\(654\) | −2.50058 | − | 4.33114i | −0.0977805 | − | 0.169361i | ||||
\(655\) | −0.836629 | − | 1.44908i | −0.0326898 | − | 0.0566204i | ||||
\(656\) | −29.6333 | + | 51.3265i | −1.15699 | + | 2.00396i | ||||
\(657\) | −21.3409 | −0.832590 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −16.8997 | −0.658318 | −0.329159 | − | 0.944275i | \(-0.606765\pi\) | ||||
−0.329159 | + | 0.944275i | \(0.606765\pi\) | |||||||
\(660\) | −3.30660 | + | 5.72720i | −0.128709 | + | 0.222931i | ||||
\(661\) | −22.6516 | − | 39.2338i | −0.881046 | − | 1.52602i | −0.850180 | − | 0.526493i | \(-0.823507\pi\) |
−0.0308661 | − | 0.999524i | \(-0.509827\pi\) | |||||||
\(662\) | −35.1086 | − | 60.8098i | −1.36453 | − | 2.36344i | ||||
\(663\) | 1.74805 | − | 3.02771i | 0.0678886 | − | 0.117587i | ||||
\(664\) | −10.6315 | −0.412581 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −34.4633 | −1.33543 | ||||||||
\(667\) | 5.35415 | − | 9.27366i | 0.207314 | − | 0.359078i | ||||
\(668\) | −4.08131 | − | 7.06904i | −0.157911 | − | 0.273509i | ||||
\(669\) | 1.08335 | + | 1.87641i | 0.0418845 | + | 0.0725462i | ||||
\(670\) | 12.5547 | − | 21.7453i | 0.485028 | − | 0.840094i | ||||
\(671\) | −12.9817 | −0.501154 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 39.5076 | 1.52291 | 0.761454 | − | 0.648219i | \(-0.224486\pi\) | ||||
0.761454 | + | 0.648219i | \(0.224486\pi\) | |||||||
\(674\) | 27.0832 | − | 46.9094i | 1.04321 | − | 1.80688i | ||||
\(675\) | −0.275458 | − | 0.477108i | −0.0106024 | − | 0.0183639i | ||||
\(676\) | 4.62309 | + | 8.00743i | 0.177811 | + | 0.307978i | ||||
\(677\) | −17.0669 | + | 29.5608i | −0.655936 | + | 1.13611i | 0.325723 | + | 0.945465i | \(0.394392\pi\) |
−0.981658 | + | 0.190649i | \(0.938941\pi\) | |||||||
\(678\) | 22.6677 | 0.870547 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −18.0455 | −0.692014 | ||||||||
\(681\) | 6.58206 | − | 11.4005i | 0.252225 | − | 0.436867i | ||||
\(682\) | −2.92708 | − | 5.06984i | −0.112084 | − | 0.194134i | ||||
\(683\) | −11.8931 | − | 20.5995i | −0.455079 | − | 0.788219i | 0.543614 | − | 0.839335i | \(-0.317056\pi\) |
−0.998693 | + | 0.0511160i | \(0.983722\pi\) | |||||||
\(684\) | 36.2244 | − | 62.7425i | 1.38507 | − | 2.39902i | ||||
\(685\) | 12.8762 | 0.491973 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 18.1951 | 0.694186 | ||||||||
\(688\) | −13.8769 | + | 24.0355i | −0.529052 | + | 0.916345i | ||||
\(689\) | −0.500750 | − | 0.867324i | −0.0190770 | − | 0.0330424i | ||||
\(690\) | −12.7154 | − | 22.0237i | −0.484067 | − | 0.838429i | ||||
\(691\) | −10.2812 | + | 17.8076i | −0.391116 | + | 0.677433i | −0.992597 | − | 0.121454i | \(-0.961244\pi\) |
0.601481 | + | 0.798887i | \(0.294578\pi\) | |||||||
\(692\) | −27.0440 | −1.02806 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 9.81761 | 0.372671 | ||||||||
\(695\) | 6.14248 | − | 10.6391i | 0.232998 | − | 0.403564i | ||||
\(696\) | −3.23181 | − | 5.59766i | −0.122501 | − | 0.212179i | ||||
\(697\) | 8.38605 | + | 14.5251i | 0.317644 | + | 0.550176i | ||||
\(698\) | 17.5722 | − | 30.4359i | 0.665117 | − | 1.15202i | ||||
\(699\) | 2.72401 | 0.103031 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −23.9907 | −0.906116 | −0.453058 | − | 0.891481i | \(-0.649667\pi\) | ||||
−0.453058 | + | 0.891481i | \(0.649667\pi\) | |||||||
\(702\) | −16.0364 | + | 27.7758i | −0.605254 | + | 1.04833i | ||||
\(703\) | 19.2134 | + | 33.2785i | 0.724646 | + | 1.25512i | ||||
\(704\) | −2.60220 | − | 4.50714i | −0.0980741 | − | 0.169869i | ||||
\(705\) | −1.17251 | + | 2.03084i | −0.0441592 | + | 0.0764860i | ||||
\(706\) | −12.3763 | −0.465789 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 37.9762 | 1.42723 | ||||||||
\(709\) | 25.8559 | − | 44.7836i | 0.971037 | − | 1.68189i | 0.278599 | − | 0.960407i | \(-0.410130\pi\) |
0.692437 | − | 0.721478i | \(-0.256537\pi\) | |||||||
\(710\) | −31.0968 | − | 53.8612i | −1.16704 | − | 2.02138i | ||||
\(711\) | 5.76819 | + | 9.99080i | 0.216324 | + | 0.374684i | ||||
\(712\) | −8.79747 | + | 15.2377i | −0.329699 | + | 0.571055i | ||||
\(713\) | 15.2552 | 0.571310 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 7.24468 | 0.270936 | ||||||||
\(716\) | 7.53841 | − | 13.0569i | 0.281724 | − | 0.487960i | ||||
\(717\) | −4.63933 | − | 8.03555i | −0.173259 | − | 0.300093i | ||||
\(718\) | −5.07089 | − | 8.78304i | −0.189244 | − | 0.327780i | ||||
\(719\) | 12.8926 | − | 22.3306i | 0.480812 | − | 0.832790i | −0.518946 | − | 0.854807i | \(-0.673675\pi\) |
0.999758 | + | 0.0220170i | \(0.00700879\pi\) | |||||||
\(720\) | 28.9269 | 1.07804 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −71.8811 | −2.67514 | ||||||||
\(723\) | −0.160754 | + | 0.278434i | −0.00597851 | + | 0.0103551i | ||||
\(724\) | 25.6750 | + | 44.4703i | 0.954202 | + | 1.65273i | ||||
\(725\) | −0.115989 | − | 0.200899i | −0.00430772 | − | 0.00746118i | ||||
\(726\) | 0.888663 | − | 1.53921i | 0.0329814 | − | 0.0571254i | ||||
\(727\) | −32.7330 | −1.21400 | −0.606999 | − | 0.794702i | \(-0.707627\pi\) | ||||
−0.606999 | + | 0.794702i | \(0.707627\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −3.26295 | −0.120850 | ||||||||
\(730\) | −23.5220 | + | 40.7413i | −0.870589 | + | 1.50790i | ||||
\(731\) | 3.92708 | + | 6.80189i | 0.145248 | + | 0.251577i | ||||
\(732\) | −19.4726 | − | 33.7275i | −0.719728 | − | 1.24660i | ||||
\(733\) | −4.64136 | + | 8.03908i | −0.171433 | + | 0.296930i | −0.938921 | − | 0.344133i | \(-0.888173\pi\) |
0.767488 | + | 0.641063i | \(0.221506\pi\) | |||||||
\(734\) | −44.8904 | −1.65693 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −13.8944 | −0.512156 | ||||||||
\(737\) | −2.28646 | + | 3.96027i | −0.0842229 | + | 0.145878i | ||||
\(738\) | −34.8995 | − | 60.4477i | −1.28467 | − | 2.22511i | ||||
\(739\) | 25.0466 | + | 43.3820i | 0.921355 | + | 1.59583i | 0.797320 | + | 0.603556i | \(0.206250\pi\) |
0.124035 | + | 0.992278i | \(0.460417\pi\) | |||||||
\(740\) | −25.7408 | + | 44.5843i | −0.946250 | + | 1.63895i | ||||
\(741\) | 16.2227 | 0.595955 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 13.1679 | 0.483082 | 0.241541 | − | 0.970391i | \(-0.422347\pi\) | ||||
0.241541 | + | 0.970391i | \(0.422347\pi\) | |||||||
\(744\) | 4.60407 | − | 7.97448i | 0.168793 | − | 0.292359i | ||||
\(745\) | −1.10220 | − | 1.90907i | −0.0403815 | − | 0.0699428i | ||||
\(746\) | 36.0135 | + | 62.3771i | 1.31855 | + | 2.28379i | ||||
\(747\) | 2.41142 | − | 4.17670i | 0.0882293 | − | 0.152818i | ||||
\(748\) | 6.26819 | 0.229188 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −20.1406 | −0.735431 | ||||||||
\(751\) | −20.6569 | + | 35.7787i | −0.753779 | + | 1.30558i | 0.192200 | + | 0.981356i | \(0.438438\pi\) |
−0.945979 | + | 0.324228i | \(0.894895\pi\) | |||||||
\(752\) | 3.92708 | + | 6.80189i | 0.143206 | + | 0.248040i | ||||
\(753\) | 0.399084 | + | 0.691234i | 0.0145434 | + | 0.0251900i | ||||
\(754\) | −6.75253 | + | 11.6957i | −0.245913 | + | 0.425933i | ||||
\(755\) | −32.7158 | −1.19065 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −45.5114 | −1.65414 | −0.827069 | − | 0.562100i | \(-0.809994\pi\) | ||||
−0.827069 | + | 0.562100i | \(0.809994\pi\) | |||||||
\(758\) | 5.36591 | − | 9.29402i | 0.194898 | − | 0.337574i | ||||
\(759\) | 2.31574 | + | 4.01098i | 0.0840560 | + | 0.145589i | ||||
\(760\) | −41.8676 | − | 72.5168i | −1.51870 | − | 2.63046i | ||||
\(761\) | 15.6360 | − | 27.0823i | 0.566803 | − | 0.981732i | −0.430076 | − | 0.902793i | \(-0.641513\pi\) |
0.996879 | − | 0.0789393i | \(-0.0251533\pi\) | |||||||
\(762\) | 21.9988 | 0.796934 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 50.9124 | 1.84194 | ||||||||
\(765\) | 4.09306 | − | 7.08940i | 0.147985 | − | 0.256318i | ||||
\(766\) | 15.3795 | + | 26.6381i | 0.555685 | + | 0.962474i | ||||
\(767\) | −20.8012 | − | 36.0287i | −0.751088 | − | 1.30092i | ||||
\(768\) | 11.6112 | − | 20.1111i | 0.418982 | − | 0.725698i | ||||
\(769\) | −42.0467 | −1.51624 | −0.758121 | − | 0.652114i | \(-0.773882\pi\) | ||||
−0.758121 | + | 0.652114i | \(0.773882\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 16.2969 | 0.586920 | ||||||||
\(772\) | 25.1002 | − | 43.4748i | 0.903375 | − | 1.56469i | ||||
\(773\) | 3.82226 | + | 6.62034i | 0.137477 | + | 0.238117i | 0.926541 | − | 0.376194i | \(-0.122767\pi\) |
−0.789064 | + | 0.614311i | \(0.789434\pi\) | |||||||
\(774\) | −16.3430 | − | 28.3069i | −0.587436 | − | 1.01747i | ||||
\(775\) | 0.165239 | − | 0.286202i | 0.00593555 | − | 0.0102807i | ||||
\(776\) | 10.2096 | 0.366505 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −73.2887 | −2.62753 | ||||||||
\(779\) | −38.9131 | + | 67.3995i | −1.39421 | + | 2.41484i | ||||
\(780\) | 10.8670 | + | 18.8222i | 0.389102 | + | 0.673944i | ||||
\(781\) | 5.66337 | + | 9.80925i | 0.202651 | + | 0.351002i | ||||
\(782\) | −12.0520 | + | 20.8747i | −0.430980 | + | 0.746479i | ||||
\(783\) | 6.46362 | 0.230991 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 14.0873 | 0.502797 | ||||||||
\(786\) | −0.674542 | + | 1.16834i | −0.0240601 | + | 0.0416734i | ||||
\(787\) | −13.9517 | − | 24.1651i | −0.497324 | − | 0.861391i | 0.502671 | − | 0.864478i | \(-0.332351\pi\) |
−0.999995 | + | 0.00308674i | \(0.999017\pi\) | |||||||
\(788\) | −25.5683 | − | 44.2855i | −0.910832 | − | 1.57761i | ||||
\(789\) | 3.27919 | − | 5.67973i | 0.116742 | − | 0.202204i | ||||
\(790\) | 25.4308 | 0.904788 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −13.6770 | −0.485991 | ||||||||
\(793\) | −21.3320 | + | 36.9481i | −0.757521 | + | 1.31206i | ||||
\(794\) | 21.5453 | + | 37.3176i | 0.764616 | + | 1.32435i | ||||
\(795\) | 0.239662 | + | 0.415107i | 0.00849995 | + | 0.0147223i | ||||
\(796\) | 4.00448 | − | 6.93597i | 0.141935 | − | 0.245839i | ||||
\(797\) | −10.0560 | −0.356201 | −0.178101 | − | 0.984012i | \(-0.556995\pi\) | ||||
−0.178101 | + | 0.984012i | \(0.556995\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.22267 | 0.0786326 | ||||||||
\(800\) | −0.150500 | + | 0.260674i | −0.00532098 | + | 0.00921620i | ||||
\(801\) | −3.99086 | − | 6.91238i | −0.141010 | − | 0.244237i | ||||
\(802\) | −31.0740 | − | 53.8218i | −1.09726 | − | 1.90051i | ||||
\(803\) | 4.28384 | − | 7.41984i | 0.151174 | − | 0.261840i | ||||
\(804\) | −13.7188 | −0.483824 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −19.2394 | −0.677681 | ||||||||
\(807\) | −5.57031 | + | 9.64805i | −0.196084 | + | 0.339628i | ||||
\(808\) | −16.5975 | − | 28.7478i | −0.583900 | − | 1.01134i | ||||
\(809\) | −19.2863 | − | 33.4048i | −0.678070 | − | 1.17445i | −0.975561 | − | 0.219727i | \(-0.929483\pi\) |
0.297491 | − | 0.954725i | \(-0.403850\pi\) | |||||||
\(810\) | −12.8404 | + | 22.2402i | −0.451164 | + | 0.781440i | ||||
\(811\) | −12.3760 | −0.434580 | −0.217290 | − | 0.976107i | \(-0.569722\pi\) | ||||
−0.217290 | + | 0.976107i | \(0.569722\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −19.7968 | −0.694303 | ||||||||
\(814\) | 6.91794 | − | 11.9822i | 0.242474 | − | 0.419977i | ||||
\(815\) | 10.9616 | + | 18.9860i | 0.383968 | + | 0.665051i | ||||
\(816\) | 2.80212 | + | 4.85341i | 0.0980937 | + | 0.169903i | ||||
\(817\) | −18.2225 | + | 31.5623i | −0.637525 | + | 1.10423i | ||||
\(818\) | −96.0437 | −3.35809 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −104.266 | −3.64114 | ||||||||
\(821\) | −14.8691 | + | 25.7540i | −0.518934 | + | 0.898820i | 0.480824 | + | 0.876817i | \(0.340338\pi\) |
−0.999758 | + | 0.0220025i | \(0.992996\pi\) | |||||||
\(822\) | −5.19078 | − | 8.99070i | −0.181049 | − | 0.313587i | ||||
\(823\) | −20.3885 | − | 35.3139i | −0.710698 | − | 1.23097i | −0.964595 | − | 0.263734i | \(-0.915046\pi\) |
0.253897 | − | 0.967231i | \(-0.418288\pi\) | |||||||
\(824\) | 2.92056 | − | 5.05855i | 0.101742 | − | 0.176223i | ||||
\(825\) | 0.100333 | 0.00349316 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −18.8411 | −0.655170 | −0.327585 | − | 0.944822i | \(-0.606235\pi\) | ||||
−0.327585 | + | 0.944822i | \(0.606235\pi\) | |||||||
\(828\) | 33.9881 | − | 58.8691i | 1.18117 | − | 2.04584i | ||||
\(829\) | −15.5703 | − | 26.9686i | −0.540779 | − | 0.936657i | −0.998860 | − | 0.0477461i | \(-0.984796\pi\) |
0.458080 | − | 0.888911i | \(-0.348537\pi\) | |||||||
\(830\) | −5.31574 | − | 9.20713i | −0.184512 | − | 0.319584i | ||||
\(831\) | −5.28459 | + | 9.15319i | −0.183321 | + | 0.317521i | ||||
\(832\) | −17.1041 | −0.592977 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −9.90490 | −0.342979 | ||||||||
\(835\) | 2.13986 | − | 3.70635i | 0.0740530 | − | 0.128264i | ||||
\(836\) | 14.5429 | + | 25.1890i | 0.502977 | + | 0.871181i | ||||
\(837\) | 4.60407 | + | 7.97448i | 0.159140 | + | 0.275638i | ||||
\(838\) | −1.13206 | + | 1.96079i | −0.0391064 | + | 0.0677342i | ||||
\(839\) | −10.2589 | −0.354176 | −0.177088 | − | 0.984195i | \(-0.556668\pi\) | ||||
−0.177088 | + | 0.984195i | \(0.556668\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −26.2783 | −0.906149 | ||||||||
\(842\) | 19.3704 | − | 33.5505i | 0.667548 | − | 1.15623i | ||||
\(843\) | −5.43098 | − | 9.40673i | −0.187053 | − | 0.323985i | ||||
\(844\) | 34.1496 | + | 59.1488i | 1.17548 | + | 2.03599i | ||||
\(845\) | −2.42392 | + | 4.19836i | −0.0833855 | + | 0.144428i | ||||
\(846\) | −9.24992 | −0.318019 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 1.60540 | 0.0551297 | ||||||||
\(849\) | 7.74805 | − | 13.4200i | 0.265912 | − | 0.460574i | ||||
\(850\) | 0.261087 | + | 0.452217i | 0.00895522 | + | 0.0155109i | ||||
\(851\) | 18.0272 | + | 31.2241i | 0.617966 | + | 1.07035i | ||||
\(852\) | −16.9901 | + | 29.4277i | −0.582072 | + | 1.00818i | ||||
\(853\) | −3.04435 | −0.104237 | −0.0521183 | − | 0.998641i | \(-0.516597\pi\) | ||||
−0.0521183 | + | 0.998641i | \(0.516597\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 37.9855 | 1.29908 | ||||||||
\(856\) | −17.3840 | + | 30.1100i | −0.594173 | + | 1.02914i | ||||
\(857\) | 24.7766 | + | 42.9143i | 0.846352 | + | 1.46592i | 0.884442 | + | 0.466650i | \(0.154539\pi\) |
−0.0380904 | + | 0.999274i | \(0.512127\pi\) | |||||||
\(858\) | −2.92056 | − | 5.05855i | −0.0997062 | − | 0.172696i | ||||
\(859\) | 18.4373 | − | 31.9344i | 0.629074 | − | 1.08959i | −0.358664 | − | 0.933467i | \(-0.616768\pi\) |
0.987738 | − | 0.156121i | \(-0.0498989\pi\) | |||||||
\(860\) | −48.8266 | −1.66497 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −8.80864 | −0.300023 | ||||||||
\(863\) | 23.2115 | − | 40.2035i | 0.790129 | − | 1.36854i | −0.135758 | − | 0.990742i | \(-0.543347\pi\) |
0.925887 | − | 0.377801i | \(-0.123320\pi\) | |||||||
\(864\) | −4.19340 | − | 7.26318i | −0.142662 | − | 0.247098i | ||||
\(865\) | −7.08970 | − | 12.2797i | −0.241057 | − | 0.417523i | ||||
\(866\) | −21.9765 | + | 38.0644i | −0.746792 | + | 1.29348i | ||||
\(867\) | −10.5442 | −0.358099 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −4.63148 | −0.157112 | ||||||||
\(870\) | 3.23181 | − | 5.59766i | 0.109569 | − | 0.189778i | ||||
\(871\) | 7.51437 | + | 13.0153i | 0.254615 | + | 0.441006i | ||||
\(872\) | −7.72529 | − | 13.3806i | −0.261611 | − | 0.453124i | ||||
\(873\) | −2.31574 | + | 4.01098i | −0.0783759 | + | 0.135751i | ||||
\(874\) | −111.848 | −3.78332 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 25.7031 | 0.868426 | ||||||||
\(877\) | −19.5155 | + | 33.8018i | −0.658991 | + | 1.14141i | 0.321886 | + | 0.946778i | \(0.395683\pi\) |
−0.980877 | + | 0.194628i | \(0.937650\pi\) | |||||||
\(878\) | −18.7154 | − | 32.4160i | −0.631614 | − | 1.09399i | ||||
\(879\) | 3.96997 | + | 6.87620i | 0.133904 | + | 0.231928i | ||||
\(880\) | −5.80660 | + | 10.0573i | −0.195741 | + | 0.339033i | ||||
\(881\) | 44.0049 | 1.48256 | 0.741281 | − | 0.671194i | \(-0.234218\pi\) | ||||
0.741281 | + | 0.671194i | \(0.234218\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −23.3596 | −0.786112 | −0.393056 | − | 0.919515i | \(-0.628582\pi\) | ||||
−0.393056 | + | 0.919515i | \(0.628582\pi\) | |||||||
\(884\) | 10.3001 | − | 17.8403i | 0.346429 | − | 0.600033i | ||||
\(885\) | 9.95560 | + | 17.2436i | 0.334654 | + | 0.579638i | ||||
\(886\) | 16.4679 | + | 28.5233i | 0.553251 | + | 0.958259i | ||||
\(887\) | 20.9588 | − | 36.3017i | 0.703728 | − | 1.21889i | −0.263421 | − | 0.964681i | \(-0.584851\pi\) |
0.967149 | − | 0.254211i | \(-0.0818158\pi\) | |||||||
\(888\) | 21.7628 | 0.730311 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −17.5949 | −0.589783 | ||||||||
\(891\) | 2.33850 | − | 4.05039i | 0.0783426 | − | 0.135693i | ||||
\(892\) | 6.38343 | + | 11.0564i | 0.213733 | + | 0.370196i | ||||
\(893\) | 5.15685 | + | 8.93193i | 0.172567 | + | 0.298896i | ||||
\(894\) | −0.888663 | + | 1.53921i | −0.0297213 | + | 0.0514789i | ||||
\(895\) | 7.90490 | 0.264232 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 15.2212 | 0.508220 | ||||||||
\(898\) | −12.3405 | + | 21.3744i | −0.411809 | + | 0.713274i | ||||
\(899\) | 1.93866 | + | 3.35786i | 0.0646580 | + | 0.111991i | ||||
\(900\) | −0.736295 | − | 1.27530i | −0.0245432 | − | 0.0425100i | ||||
\(901\) | 0.227159 | − | 0.393451i | 0.00756776 | − | 0.0131078i | ||||
\(902\) | 28.0220 | 0.933031 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 70.0295 | 2.32915 | ||||||||
\(905\) | −13.4616 | + | 23.3162i | −0.447478 | + | 0.775055i | ||||
\(906\) | 13.1887 | + | 22.8436i | 0.438167 | + | 0.758927i | ||||
\(907\) | 10.2591 | + | 17.7692i | 0.340646 | + | 0.590017i | 0.984553 | − | 0.175087i | \(-0.0560208\pi\) |
−0.643907 | + | 0.765104i | \(0.722687\pi\) | |||||||
\(908\) | 38.7837 | − | 67.1753i | 1.28708 | − | 2.22929i | ||||
\(909\) | 15.0586 | 0.499461 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 27.6755 | 0.916930 | 0.458465 | − | 0.888712i | \(-0.348399\pi\) | ||||
0.458465 | + | 0.888712i | \(0.348399\pi\) | |||||||
\(912\) | −13.0025 | + | 22.5209i | −0.430554 | + | 0.745742i | ||||
\(913\) | 0.968106 | + | 1.67681i | 0.0320396 | + | 0.0554943i | ||||
\(914\) | 12.8840 | + | 22.3158i | 0.426165 | + | 0.738140i | ||||
\(915\) | 10.2096 | − | 17.6836i | 0.337520 | − | 0.584602i | ||||
\(916\) | 107.212 | 3.54237 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −14.5494 | −0.480202 | ||||||||
\(919\) | −0.481727 | + | 0.834376i | −0.0158907 | + | 0.0275235i | −0.873861 | − | 0.486175i | \(-0.838392\pi\) |
0.857971 | + | 0.513699i | \(0.171725\pi\) | |||||||
\(920\) | −39.2829 | − | 68.0400i | −1.29512 | − | 2.24321i | ||||
\(921\) | 8.91404 | + | 15.4396i | 0.293728 | + | 0.508751i | ||||
\(922\) | 19.1015 | − | 33.0847i | 0.629073 | − | 1.08959i | ||||
\(923\) | 37.2249 | 1.22527 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.781061 | 0.0256811 | ||||||||
\(926\) | −31.2993 | + | 54.2120i | −1.02856 | + | 1.78152i | ||||
\(927\) | 1.32488 | + | 2.29475i | 0.0435146 | + | 0.0753695i | ||||
\(928\) | −1.76574 | − | 3.05835i | −0.0579632 | − | 0.100395i | ||||
\(929\) | 13.1660 | − | 22.8042i | 0.431962 | − | 0.748180i | −0.565080 | − | 0.825036i | \(-0.691155\pi\) |
0.997042 | + | 0.0768558i | \(0.0244881\pi\) | |||||||
\(930\) | 9.20814 | 0.301947 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 16.0507 | 0.525760 | ||||||||
\(933\) | 12.3944 | − | 21.4678i | 0.405775 | − | 0.702824i | ||||
\(934\) | 0.929110 | + | 1.60927i | 0.0304014 | + | 0.0526568i | ||||
\(935\) | 1.64323 | + | 2.84616i | 0.0537394 | + | 0.0930794i | ||||
\(936\) | −22.4745 | + | 38.9269i | −0.734601 | + | 1.27237i | ||||
\(937\) | 21.3865 | 0.698665 | 0.349333 | − | 0.936999i | \(-0.386408\pi\) | ||||
0.349333 | + | 0.936999i | \(0.386408\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −16.9176 | −0.552085 | ||||||||
\(940\) | −6.90880 | + | 11.9664i | −0.225340 | + | 0.390301i | ||||
\(941\) | 7.41142 | + | 12.8370i | 0.241605 | + | 0.418473i | 0.961172 | − | 0.275951i | \(-0.0889927\pi\) |
−0.719566 | + | 0.694424i | \(0.755659\pi\) | |||||||
\(942\) | −5.67903 | − | 9.83636i | −0.185033 | − | 0.320486i | ||||
\(943\) | −36.5108 | + | 63.2386i | −1.18896 | + | 2.05933i | ||||
\(944\) | 66.6885 | 2.17053 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 13.1223 | 0.426644 | ||||||||
\(947\) | −15.8560 | + | 27.4634i | −0.515251 | + | 0.892442i | 0.484592 | + | 0.874740i | \(0.338968\pi\) |
−0.999843 | + | 0.0177013i | \(0.994365\pi\) | |||||||
\(948\) | −6.94722 | − | 12.0329i | −0.225635 | − | 0.390811i | ||||
\(949\) | −14.0787 | − | 24.3850i | −0.457014 | − | 0.791571i | ||||
\(950\) | −1.21150 | + | 2.09839i | −0.0393064 | + | 0.0680806i | ||||
\(951\) | 14.0403 | 0.455287 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 49.9620 | 1.61843 | 0.809213 | − | 0.587515i | \(-0.199894\pi\) | ||||
0.809213 | + | 0.587515i | \(0.199894\pi\) | |||||||
\(954\) | −0.945349 | + | 1.63739i | −0.0306068 | + | 0.0530125i | ||||
\(955\) | 13.3469 | + | 23.1175i | 0.431895 | + | 0.748064i | ||||
\(956\) | −27.3365 | − | 47.3481i | −0.884124 | − | 1.53135i | ||||
\(957\) | −0.588580 | + | 1.01945i | −0.0190261 | + | 0.0329541i | ||||
\(958\) | −50.0988 | −1.61862 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 8.18613 | 0.264206 | ||||||||
\(961\) | 12.7382 | − | 22.0631i | 0.410908 | − | 0.711714i | ||||
\(962\) | −22.7355 | − | 39.3791i | −0.733023 | − | 1.26963i | ||||
\(963\) | −7.88605 | − | 13.6590i | −0.254124 | − | 0.440156i | ||||
\(964\) | −0.947216 | + | 1.64063i | −0.0305078 | + | 0.0528410i | ||||
\(965\) | 26.3204 | 0.847285 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −52.4581 | −1.68694 | −0.843469 | − | 0.537178i | \(-0.819490\pi\) | ||||
−0.843469 | + | 0.537178i | \(0.819490\pi\) | |||||||
\(968\) | 2.74543 | − | 4.75523i | 0.0882415 | − | 0.152839i | ||||
\(969\) | 3.67961 | + | 6.37327i | 0.118206 | + | 0.204739i | ||||
\(970\) | 5.10482 | + | 8.84180i | 0.163906 | + | 0.283893i | ||||
\(971\) | 15.4133 | − | 26.6966i | 0.494636 | − | 0.856735i | −0.505345 | − | 0.862917i | \(-0.668635\pi\) |
0.999981 | + | 0.00618284i | \(0.00196807\pi\) | |||||||
\(972\) | 63.4487 | 2.03512 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 10.5860 | 0.339196 | ||||||||
\(975\) | 0.164871 | − | 0.285565i | 0.00528009 | − | 0.00914538i | ||||
\(976\) | −34.1951 | − | 59.2276i | −1.09456 | − | 1.89583i | ||||
\(977\) | −12.3678 | − | 21.4216i | −0.395680 | − | 0.685338i | 0.597508 | − | 0.801863i | \(-0.296158\pi\) |
−0.993188 | + | 0.116525i | \(0.962824\pi\) | |||||||
\(978\) | 8.83791 | − | 15.3077i | 0.282605 | − | 0.489487i | ||||
\(979\) | 3.20440 | 0.102413 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 7.00897 | 0.223779 | ||||||||
\(982\) | 37.7713 | − | 65.4219i | 1.20533 | − | 2.08770i | ||||
\(983\) | 6.11192 | + | 10.5862i | 0.194940 | + | 0.337646i | 0.946881 | − | 0.321585i | \(-0.104215\pi\) |
−0.751941 | + | 0.659231i | \(0.770882\pi\) | |||||||
\(984\) | 22.0382 | + | 38.1714i | 0.702554 | + | 1.21686i | ||||
\(985\) | 13.4057 | − | 23.2193i | 0.427140 | − | 0.739827i | ||||
\(986\) | −6.12641 | −0.195105 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 95.5894 | 3.04110 | ||||||||
\(989\) | −17.0975 | + | 29.6138i | −0.543670 | + | 0.941665i | ||||
\(990\) | −6.83850 | − | 11.8446i | −0.217342 | − | 0.376447i | ||||
\(991\) | −2.30008 | − | 3.98386i | −0.0730645 | − | 0.126552i | 0.827178 | − | 0.561939i | \(-0.189945\pi\) |
−0.900243 | + | 0.435388i | \(0.856611\pi\) | |||||||
\(992\) | 2.51549 | − | 4.35695i | 0.0798668 | − | 0.138333i | ||||
\(993\) | −20.1145 | −0.638316 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 4.19917 | 0.133123 | ||||||||
\(996\) | −2.90432 | + | 5.03043i | −0.0920268 | + | 0.159395i | ||||
\(997\) | −17.2382 | − | 29.8574i | −0.545938 | − | 0.945593i | −0.998547 | − | 0.0538835i | \(-0.982840\pi\) |
0.452609 | − | 0.891709i | \(-0.350493\pi\) | |||||||
\(998\) | 17.9856 | + | 31.1520i | 0.569325 | + | 0.986100i | ||||
\(999\) | −10.8814 | + | 18.8471i | −0.344272 | + | 0.596297i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))