Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [578,2,Mod(155,578)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(578, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("578.155");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 578 = 2 \cdot 17^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 578.d (of order \(8\), degree \(4\), 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: | \(4.61535323683\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{8})\) |
Coefficient field: | \(\Q(\zeta_{16})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | no (minimal twist has level 34) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 179.1 | ||
Root | \(-0.382683 + 0.923880i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 578.179 |
Dual form | 578.2.d.e.155.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/578\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | − | 0.707107i | 0.500000 | − | 0.500000i | ||||
\(3\) | −1.84776 | − | 0.765367i | −1.06680 | − | 0.441885i | −0.220942 | − | 0.975287i | \(-0.570913\pi\) |
−0.845862 | + | 0.533402i | \(0.820913\pi\) | |||||||
\(4\) | − | 1.00000i | − | 0.500000i | ||||||
\(5\) | 0 | 0 | −0.923880 | − | 0.382683i | \(-0.875000\pi\) | ||||
0.923880 | + | 0.382683i | \(0.125000\pi\) | |||||||
\(6\) | −1.84776 | + | 0.765367i | −0.754344 | + | 0.312460i | ||||
\(7\) | 1.53073 | + | 3.69552i | 0.578563 | + | 1.39677i | 0.894103 | + | 0.447862i | \(0.147814\pi\) |
−0.315540 | + | 0.948912i | \(0.602186\pi\) | |||||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | 0.707107 | + | 0.707107i | 0.235702 | + | 0.235702i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −5.54328 | + | 2.29610i | −1.67136 | + | 0.692300i | −0.998857 | − | 0.0477934i | \(-0.984781\pi\) |
−0.672504 | + | 0.740094i | \(0.734781\pi\) | |||||||
\(12\) | −0.765367 | + | 1.84776i | −0.220942 | + | 0.533402i | ||||
\(13\) | 2.00000i | 0.554700i | 0.960769 | + | 0.277350i | \(0.0894562\pi\) | ||||
−0.960769 | + | 0.277350i | \(0.910544\pi\) | |||||||
\(14\) | 3.69552 | + | 1.53073i | 0.987669 | + | 0.409106i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | 0 | 0 | ||||||||
\(18\) | 1.00000 | 0.235702 | ||||||||
\(19\) | −2.82843 | + | 2.82843i | −0.648886 | + | 0.648886i | −0.952724 | − | 0.303838i | \(-0.901732\pi\) |
0.303838 | + | 0.952724i | \(0.401732\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | − | 8.00000i | − | 1.74574i | ||||||
\(22\) | −2.29610 | + | 5.54328i | −0.489530 | + | 1.18183i | ||||
\(23\) | 0 | 0 | −0.382683 | − | 0.923880i | \(-0.625000\pi\) | ||||
0.382683 | + | 0.923880i | \(0.375000\pi\) | |||||||
\(24\) | 0.765367 | + | 1.84776i | 0.156230 | + | 0.377172i | ||||
\(25\) | 3.53553 | + | 3.53553i | 0.707107 | + | 0.707107i | ||||
\(26\) | 1.41421 | + | 1.41421i | 0.277350 | + | 0.277350i | ||||
\(27\) | 1.53073 | + | 3.69552i | 0.294590 | + | 0.711203i | ||||
\(28\) | 3.69552 | − | 1.53073i | 0.698387 | − | 0.289281i | ||||
\(29\) | 0 | 0 | −0.923880 | − | 0.382683i | \(-0.875000\pi\) | ||||
0.923880 | + | 0.382683i | \(0.125000\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.69552 | + | 1.53073i | 0.663735 | + | 0.274928i | 0.689009 | − | 0.724753i | \(-0.258046\pi\) |
−0.0252745 | + | 0.999681i | \(0.508046\pi\) | |||||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | 12.0000 | 2.08893 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.707107 | − | 0.707107i | 0.117851 | − | 0.117851i | ||||
\(37\) | −3.69552 | − | 1.53073i | −0.607539 | − | 0.251651i | 0.0576366 | − | 0.998338i | \(-0.481644\pi\) |
−0.665176 | + | 0.746687i | \(0.731644\pi\) | |||||||
\(38\) | 4.00000i | 0.648886i | ||||||||
\(39\) | 1.53073 | − | 3.69552i | 0.245114 | − | 0.591756i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2.29610 | − | 5.54328i | −0.358591 | − | 0.865714i | −0.995499 | − | 0.0947747i | \(-0.969787\pi\) |
0.636908 | − | 0.770940i | \(-0.280213\pi\) | |||||||
\(42\) | −5.65685 | − | 5.65685i | −0.872872 | − | 0.872872i | ||||
\(43\) | 5.65685 | + | 5.65685i | 0.862662 | + | 0.862662i | 0.991647 | − | 0.128984i | \(-0.0411717\pi\) |
−0.128984 | + | 0.991647i | \(0.541172\pi\) | |||||||
\(44\) | 2.29610 | + | 5.54328i | 0.346150 | + | 0.835680i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(48\) | 1.84776 | + | 0.765367i | 0.266701 | + | 0.110471i | ||||
\(49\) | −6.36396 | + | 6.36396i | −0.909137 | + | 0.909137i | ||||
\(50\) | 5.00000 | 0.707107 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.00000 | 0.277350 | ||||||||
\(53\) | −4.24264 | + | 4.24264i | −0.582772 | + | 0.582772i | −0.935664 | − | 0.352892i | \(-0.885198\pi\) |
0.352892 | + | 0.935664i | \(0.385198\pi\) | |||||||
\(54\) | 3.69552 | + | 1.53073i | 0.502896 | + | 0.208306i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 1.53073 | − | 3.69552i | 0.204553 | − | 0.493834i | ||||
\(57\) | 7.39104 | − | 3.06147i | 0.978967 | − | 0.405501i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0 | 0 | 0.707107 | − | 0.707107i | \(-0.250000\pi\) | ||||
−0.707107 | + | 0.707107i | \(0.750000\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.53073 | − | 3.69552i | −0.195990 | − | 0.473163i | 0.795080 | − | 0.606505i | \(-0.207429\pi\) |
−0.991070 | + | 0.133342i | \(0.957429\pi\) | |||||||
\(62\) | 3.69552 | − | 1.53073i | 0.469331 | − | 0.194403i | ||||
\(63\) | −1.53073 | + | 3.69552i | −0.192854 | + | 0.465592i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 8.48528 | − | 8.48528i | 1.04447 | − | 1.04447i | ||||
\(67\) | −8.00000 | −0.977356 | −0.488678 | − | 0.872464i | \(-0.662521\pi\) | ||||
−0.488678 | + | 0.872464i | \(0.662521\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0 | 0 | 0.382683 | − | 0.923880i | \(-0.375000\pi\) | ||||
−0.382683 | + | 0.923880i | \(0.625000\pi\) | |||||||
\(72\) | − | 1.00000i | − | 0.117851i | ||||||
\(73\) | −0.765367 | + | 1.84776i | −0.0895794 | + | 0.216264i | −0.962319 | − | 0.271921i | \(-0.912341\pi\) |
0.872740 | + | 0.488185i | \(0.162341\pi\) | |||||||
\(74\) | −3.69552 | + | 1.53073i | −0.429595 | + | 0.177944i | ||||
\(75\) | −3.82683 | − | 9.23880i | −0.441885 | − | 1.06680i | ||||
\(76\) | 2.82843 | + | 2.82843i | 0.324443 | + | 0.324443i | ||||
\(77\) | −16.9706 | − | 16.9706i | −1.93398 | − | 1.93398i | ||||
\(78\) | −1.53073 | − | 3.69552i | −0.173321 | − | 0.418435i | ||||
\(79\) | −7.39104 | + | 3.06147i | −0.831557 | + | 0.344442i | −0.757519 | − | 0.652813i | \(-0.773589\pi\) |
−0.0740378 | + | 0.997255i | \(0.523589\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | − | 11.0000i | − | 1.22222i | ||||||
\(82\) | −5.54328 | − | 2.29610i | −0.612153 | − | 0.253562i | ||||
\(83\) | 0 | 0 | −0.707107 | − | 0.707107i | \(-0.750000\pi\) | ||||
0.707107 | + | 0.707107i | \(0.250000\pi\) | |||||||
\(84\) | −8.00000 | −0.872872 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 8.00000 | 0.862662 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 5.54328 | + | 2.29610i | 0.590915 | + | 0.244765i | ||||
\(89\) | 6.00000i | 0.635999i | 0.948091 | + | 0.317999i | \(0.103011\pi\) | ||||
−0.948091 | + | 0.317999i | \(0.896989\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −7.39104 | + | 3.06147i | −0.774791 | + | 0.320929i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −5.65685 | − | 5.65685i | −0.586588 | − | 0.586588i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 1.84776 | − | 0.765367i | 0.188586 | − | 0.0781149i | ||||
\(97\) | 5.35757 | − | 12.9343i | 0.543979 | − | 1.31328i | −0.377916 | − | 0.925840i | \(-0.623359\pi\) |
0.921895 | − | 0.387441i | \(-0.126641\pi\) | |||||||
\(98\) | 9.00000i | 0.909137i | ||||||||
\(99\) | −5.54328 | − | 2.29610i | −0.557120 | − | 0.230767i | ||||
\(100\) | 3.53553 | − | 3.53553i | 0.353553 | − | 0.353553i | ||||
\(101\) | −18.0000 | −1.79107 | −0.895533 | − | 0.444994i | \(-0.853206\pi\) | ||||
−0.895533 | + | 0.444994i | \(0.853206\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −16.0000 | −1.57653 | −0.788263 | − | 0.615338i | \(-0.789020\pi\) | ||||
−0.788263 | + | 0.615338i | \(0.789020\pi\) | |||||||
\(104\) | 1.41421 | − | 1.41421i | 0.138675 | − | 0.138675i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 6.00000i | 0.582772i | ||||||||
\(107\) | 2.29610 | − | 5.54328i | 0.221972 | − | 0.535889i | −0.773185 | − | 0.634180i | \(-0.781338\pi\) |
0.995158 | + | 0.0982914i | \(0.0313377\pi\) | |||||||
\(108\) | 3.69552 | − | 1.53073i | 0.355601 | − | 0.147295i | ||||
\(109\) | 6.12293 | + | 14.7821i | 0.586471 | + | 1.41587i | 0.886855 | + | 0.462048i | \(0.152885\pi\) |
−0.300384 | + | 0.953818i | \(0.597115\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 5.65685 | + | 5.65685i | 0.536925 | + | 0.536925i | ||||
\(112\) | −1.53073 | − | 3.69552i | −0.144641 | − | 0.349194i | ||||
\(113\) | 5.54328 | − | 2.29610i | 0.521468 | − | 0.215999i | −0.106394 | − | 0.994324i | \(-0.533930\pi\) |
0.627861 | + | 0.778325i | \(0.283930\pi\) | |||||||
\(114\) | 3.06147 | − | 7.39104i | 0.286733 | − | 0.692234i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.41421 | + | 1.41421i | −0.130744 | + | 0.130744i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 17.6777 | − | 17.6777i | 1.60706 | − | 1.60706i | ||||
\(122\) | −3.69552 | − | 1.53073i | −0.334576 | − | 0.138586i | ||||
\(123\) | 12.0000i | 1.08200i | ||||||||
\(124\) | 1.53073 | − | 3.69552i | 0.137464 | − | 0.331867i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 1.53073 | + | 3.69552i | 0.136369 | + | 0.329223i | ||||
\(127\) | 11.3137 | + | 11.3137i | 1.00393 | + | 1.00393i | 0.999992 | + | 0.00393704i | \(0.00125320\pi\) |
0.00393704 | + | 0.999992i | \(0.498747\pi\) | |||||||
\(128\) | 0.707107 | + | 0.707107i | 0.0625000 | + | 0.0625000i | ||||
\(129\) | −6.12293 | − | 14.7821i | −0.539094 | − | 1.30149i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2.29610 | + | 5.54328i | −0.200611 | + | 0.484318i | −0.991884 | − | 0.127145i | \(-0.959419\pi\) |
0.791273 | + | 0.611463i | \(0.209419\pi\) | |||||||
\(132\) | − | 12.0000i | − | 1.04447i | ||||||
\(133\) | −14.7821 | − | 6.12293i | −1.28177 | − | 0.530926i | ||||
\(134\) | −5.65685 | + | 5.65685i | −0.488678 | + | 0.488678i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 6.00000 | 0.512615 | 0.256307 | − | 0.966595i | \(-0.417494\pi\) | ||||
0.256307 | + | 0.966595i | \(0.417494\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.84776 | + | 0.765367i | 0.156725 | + | 0.0649176i | 0.459667 | − | 0.888091i | \(-0.347969\pi\) |
−0.302942 | + | 0.953009i | \(0.597969\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −4.59220 | − | 11.0866i | −0.384019 | − | 0.927104i | ||||
\(144\) | −0.707107 | − | 0.707107i | −0.0589256 | − | 0.0589256i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0.765367 | + | 1.84776i | 0.0633422 | + | 0.152922i | ||||
\(147\) | 16.6298 | − | 6.88830i | 1.37161 | − | 0.568138i | ||||
\(148\) | −1.53073 | + | 3.69552i | −0.125826 | + | 0.303770i | ||||
\(149\) | 6.00000i | 0.491539i | 0.969328 | + | 0.245770i | \(0.0790407\pi\) | ||||
−0.969328 | + | 0.245770i | \(0.920959\pi\) | |||||||
\(150\) | −9.23880 | − | 3.82683i | −0.754344 | − | 0.312460i | ||||
\(151\) | 11.3137 | − | 11.3137i | 0.920697 | − | 0.920697i | −0.0763821 | − | 0.997079i | \(-0.524337\pi\) |
0.997079 | + | 0.0763821i | \(0.0243369\pi\) | |||||||
\(152\) | 4.00000 | 0.324443 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −24.0000 | −1.93398 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −3.69552 | − | 1.53073i | −0.295878 | − | 0.122557i | ||||
\(157\) | − | 14.0000i | − | 1.11732i | −0.829396 | − | 0.558661i | \(-0.811315\pi\) | ||
0.829396 | − | 0.558661i | \(-0.188685\pi\) | |||||||
\(158\) | −3.06147 | + | 7.39104i | −0.243557 | + | 0.587999i | ||||
\(159\) | 11.0866 | − | 4.59220i | 0.879221 | − | 0.364185i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −7.77817 | − | 7.77817i | −0.611111 | − | 0.611111i | ||||
\(163\) | 0.765367 | + | 1.84776i | 0.0599482 | + | 0.144728i | 0.951015 | − | 0.309144i | \(-0.100042\pi\) |
−0.891067 | + | 0.453872i | \(0.850042\pi\) | |||||||
\(164\) | −5.54328 | + | 2.29610i | −0.432857 | + | 0.179295i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −11.0866 | − | 4.59220i | −0.857903 | − | 0.355355i | −0.0900162 | − | 0.995940i | \(-0.528692\pi\) |
−0.767887 | + | 0.640585i | \(0.778692\pi\) | |||||||
\(168\) | −5.65685 | + | 5.65685i | −0.436436 | + | 0.436436i | ||||
\(169\) | 9.00000 | 0.692308 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −4.00000 | −0.305888 | ||||||||
\(172\) | 5.65685 | − | 5.65685i | 0.431331 | − | 0.431331i | ||||
\(173\) | 22.1731 | + | 9.18440i | 1.68579 | + | 0.698277i | 0.999576 | − | 0.0291222i | \(-0.00927119\pi\) |
0.686214 | + | 0.727399i | \(0.259271\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −7.65367 | + | 18.4776i | −0.578563 | + | 1.39677i | ||||
\(176\) | 5.54328 | − | 2.29610i | 0.417840 | − | 0.173075i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 4.24264 | + | 4.24264i | 0.317999 | + | 0.317999i | ||||
\(179\) | 8.48528 | + | 8.48528i | 0.634220 | + | 0.634220i | 0.949124 | − | 0.314904i | \(-0.101972\pi\) |
−0.314904 | + | 0.949124i | \(0.601972\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.69552 | − | 1.53073i | 0.274686 | − | 0.113779i | −0.241088 | − | 0.970503i | \(-0.577504\pi\) |
0.515774 | + | 0.856725i | \(0.327504\pi\) | |||||||
\(182\) | −3.06147 | + | 7.39104i | −0.226931 | + | 0.547860i | ||||
\(183\) | 8.00000i | 0.591377i | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −8.00000 | −0.586588 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −11.3137 | + | 11.3137i | −0.822951 | + | 0.822951i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 24.0000i | 1.73658i | 0.496058 | + | 0.868290i | \(0.334780\pi\) | ||||
−0.496058 | + | 0.868290i | \(0.665220\pi\) | |||||||
\(192\) | 0.765367 | − | 1.84776i | 0.0552356 | − | 0.133351i | ||||
\(193\) | −9.23880 | + | 3.82683i | −0.665023 | + | 0.275462i | −0.689551 | − | 0.724238i | \(-0.742192\pi\) |
0.0245275 | + | 0.999699i | \(0.492192\pi\) | |||||||
\(194\) | −5.35757 | − | 12.9343i | −0.384651 | − | 0.928630i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 6.36396 | + | 6.36396i | 0.454569 | + | 0.454569i | ||||
\(197\) | −4.59220 | − | 11.0866i | −0.327181 | − | 0.789884i | −0.998799 | − | 0.0489872i | \(-0.984401\pi\) |
0.671619 | − | 0.740897i | \(-0.265599\pi\) | |||||||
\(198\) | −5.54328 | + | 2.29610i | −0.393944 | + | 0.163177i | ||||
\(199\) | −6.12293 | + | 14.7821i | −0.434043 | + | 1.04787i | 0.543928 | + | 0.839132i | \(0.316937\pi\) |
−0.977971 | + | 0.208741i | \(0.933063\pi\) | |||||||
\(200\) | − | 5.00000i | − | 0.353553i | ||||||
\(201\) | 14.7821 | + | 6.12293i | 1.04265 | + | 0.431879i | ||||
\(202\) | −12.7279 | + | 12.7279i | −0.895533 | + | 0.895533i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −11.3137 | + | 11.3137i | −0.788263 | + | 0.788263i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | − | 2.00000i | − | 0.138675i | ||||||
\(209\) | 9.18440 | − | 22.1731i | 0.635298 | − | 1.53375i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.82683 | + | 9.23880i | 0.263450 | + | 0.636025i | 0.999147 | − | 0.0412856i | \(-0.0131454\pi\) |
−0.735697 | + | 0.677311i | \(0.763145\pi\) | |||||||
\(212\) | 4.24264 | + | 4.24264i | 0.291386 | + | 0.291386i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −2.29610 | − | 5.54328i | −0.156958 | − | 0.378931i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 1.53073 | − | 3.69552i | 0.104153 | − | 0.251448i | ||||
\(217\) | 16.0000i | 1.08615i | ||||||||
\(218\) | 14.7821 | + | 6.12293i | 1.00117 | + | 0.414697i | ||||
\(219\) | 2.82843 | − | 2.82843i | 0.191127 | − | 0.191127i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 8.00000 | 0.536925 | ||||||||
\(223\) | 5.65685 | − | 5.65685i | 0.378811 | − | 0.378811i | −0.491862 | − | 0.870673i | \(-0.663684\pi\) |
0.870673 | + | 0.491862i | \(0.163684\pi\) | |||||||
\(224\) | −3.69552 | − | 1.53073i | −0.246917 | − | 0.102276i | ||||
\(225\) | 5.00000i | 0.333333i | ||||||||
\(226\) | 2.29610 | − | 5.54328i | 0.152734 | − | 0.368733i | ||||
\(227\) | −5.54328 | + | 2.29610i | −0.367920 | + | 0.152398i | −0.558981 | − | 0.829181i | \(-0.688807\pi\) |
0.191060 | + | 0.981578i | \(0.438807\pi\) | |||||||
\(228\) | −3.06147 | − | 7.39104i | −0.202751 | − | 0.489483i | ||||
\(229\) | −9.89949 | − | 9.89949i | −0.654177 | − | 0.654177i | 0.299819 | − | 0.953996i | \(-0.403074\pi\) |
−0.953996 | + | 0.299819i | \(0.903074\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 18.3688 | + | 44.3462i | 1.20858 | + | 2.91777i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 6.88830 | − | 16.6298i | 0.451268 | − | 1.08946i | −0.520573 | − | 0.853817i | \(-0.674282\pi\) |
0.971841 | − | 0.235639i | \(-0.0757184\pi\) | |||||||
\(234\) | 2.00000i | 0.130744i | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 16.0000 | 1.03931 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 24.0000 | 1.55243 | 0.776215 | − | 0.630468i | \(-0.217137\pi\) | ||||
0.776215 | + | 0.630468i | \(0.217137\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −9.23880 | − | 3.82683i | −0.595123 | − | 0.246508i | 0.0647298 | − | 0.997903i | \(-0.479381\pi\) |
−0.659853 | + | 0.751395i | \(0.729381\pi\) | |||||||
\(242\) | − | 25.0000i | − | 1.60706i | ||||||
\(243\) | −3.82683 | + | 9.23880i | −0.245492 | + | 0.592669i | ||||
\(244\) | −3.69552 | + | 1.53073i | −0.236581 | + | 0.0979952i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 8.48528 | + | 8.48528i | 0.541002 | + | 0.541002i | ||||
\(247\) | −5.65685 | − | 5.65685i | −0.359937 | − | 0.359937i | ||||
\(248\) | −1.53073 | − | 3.69552i | −0.0972017 | − | 0.234666i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 24.0000i | − | 1.51487i | −0.652913 | − | 0.757433i | \(-0.726453\pi\) | ||
0.652913 | − | 0.757433i | \(-0.273547\pi\) | |||||||
\(252\) | 3.69552 | + | 1.53073i | 0.232796 | + | 0.0964272i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 16.0000 | 1.00393 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 4.24264 | − | 4.24264i | 0.264649 | − | 0.264649i | −0.562291 | − | 0.826940i | \(-0.690080\pi\) |
0.826940 | + | 0.562291i | \(0.190080\pi\) | |||||||
\(258\) | −14.7821 | − | 6.12293i | −0.920292 | − | 0.381197i | ||||
\(259\) | − | 16.0000i | − | 0.994192i | ||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 2.29610 | + | 5.54328i | 0.141854 | + | 0.342465i | ||||
\(263\) | −16.9706 | − | 16.9706i | −1.04645 | − | 1.04645i | −0.998867 | − | 0.0475824i | \(-0.984848\pi\) |
−0.0475824 | − | 0.998867i | \(-0.515152\pi\) | |||||||
\(264\) | −8.48528 | − | 8.48528i | −0.522233 | − | 0.522233i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −14.7821 | + | 6.12293i | −0.906347 | + | 0.375421i | ||||
\(267\) | 4.59220 | − | 11.0866i | 0.281038 | − | 0.678486i | ||||
\(268\) | 8.00000i | 0.488678i | ||||||||
\(269\) | 22.1731 | + | 9.18440i | 1.35192 | + | 0.559983i | 0.936826 | − | 0.349796i | \(-0.113749\pi\) |
0.415093 | + | 0.909779i | \(0.363749\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8.00000 | −0.485965 | −0.242983 | − | 0.970031i | \(-0.578126\pi\) | ||||
−0.242983 | + | 0.970031i | \(0.578126\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 16.0000 | 0.968364 | ||||||||
\(274\) | 4.24264 | − | 4.24264i | 0.256307 | − | 0.256307i | ||||
\(275\) | −27.7164 | − | 11.4805i | −1.67136 | − | 0.692300i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −3.06147 | + | 7.39104i | −0.183946 | + | 0.444084i | −0.988773 | − | 0.149425i | \(-0.952258\pi\) |
0.804827 | + | 0.593509i | \(0.202258\pi\) | |||||||
\(278\) | 1.84776 | − | 0.765367i | 0.110821 | − | 0.0459037i | ||||
\(279\) | 1.53073 | + | 3.69552i | 0.0916426 | + | 0.221245i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 4.24264 | + | 4.24264i | 0.253095 | + | 0.253095i | 0.822238 | − | 0.569143i | \(-0.192725\pi\) |
−0.569143 | + | 0.822238i | \(0.692725\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −12.9343 | + | 5.35757i | −0.768865 | + | 0.318474i | −0.732413 | − | 0.680861i | \(-0.761606\pi\) |
−0.0364525 | + | 0.999335i | \(0.511606\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −11.0866 | − | 4.59220i | −0.655562 | − | 0.271543i | ||||
\(287\) | 16.9706 | − | 16.9706i | 1.00174 | − | 1.00174i | ||||
\(288\) | −1.00000 | −0.0589256 | ||||||||
\(289\) | 0 | 0 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −19.7990 | + | 19.7990i | −1.16064 | + | 1.16064i | ||||
\(292\) | 1.84776 | + | 0.765367i | 0.108132 | + | 0.0447897i | ||||
\(293\) | − | 6.00000i | − | 0.350524i | −0.984522 | − | 0.175262i | \(-0.943923\pi\) | ||
0.984522 | − | 0.175262i | \(-0.0560772\pi\) | |||||||
\(294\) | 6.88830 | − | 16.6298i | 0.401734 | − | 0.969871i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 1.53073 | + | 3.69552i | 0.0889721 | + | 0.214798i | ||||
\(297\) | −16.9706 | − | 16.9706i | −0.984732 | − | 0.984732i | ||||
\(298\) | 4.24264 | + | 4.24264i | 0.245770 | + | 0.245770i | ||||
\(299\) | 0 | 0 | ||||||||
\(300\) | −9.23880 | + | 3.82683i | −0.533402 | + | 0.220942i | ||||
\(301\) | −12.2459 | + | 29.5641i | −0.705840 | + | 1.70405i | ||||
\(302\) | − | 16.0000i | − | 0.920697i | ||||||
\(303\) | 33.2597 | + | 13.7766i | 1.91072 | + | 0.791445i | ||||
\(304\) | 2.82843 | − | 2.82843i | 0.162221 | − | 0.162221i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 20.0000 | 1.14146 | 0.570730 | − | 0.821138i | \(-0.306660\pi\) | ||||
0.570730 | + | 0.821138i | \(0.306660\pi\) | |||||||
\(308\) | −16.9706 | + | 16.9706i | −0.966988 | + | 0.966988i | ||||
\(309\) | 29.5641 | + | 12.2459i | 1.68185 | + | 0.696643i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −4.59220 | + | 11.0866i | −0.260400 | + | 0.628661i | −0.998963 | − | 0.0455232i | \(-0.985505\pi\) |
0.738563 | + | 0.674184i | \(0.235505\pi\) | |||||||
\(312\) | −3.69552 | + | 1.53073i | −0.209218 | + | 0.0866607i | ||||
\(313\) | 13.0112 | + | 31.4119i | 0.735439 | + | 1.77551i | 0.623548 | + | 0.781785i | \(0.285691\pi\) |
0.111891 | + | 0.993721i | \(0.464309\pi\) | |||||||
\(314\) | −9.89949 | − | 9.89949i | −0.558661 | − | 0.558661i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 3.06147 | + | 7.39104i | 0.172221 | + | 0.415778i | ||||
\(317\) | 11.0866 | − | 4.59220i | 0.622683 | − | 0.257924i | −0.0489576 | − | 0.998801i | \(-0.515590\pi\) |
0.671641 | + | 0.740877i | \(0.265590\pi\) | |||||||
\(318\) | 4.59220 | − | 11.0866i | 0.257518 | − | 0.621703i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −8.48528 | + | 8.48528i | −0.473602 | + | 0.473602i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −11.0000 | −0.611111 | ||||||||
\(325\) | −7.07107 | + | 7.07107i | −0.392232 | + | 0.392232i | ||||
\(326\) | 1.84776 | + | 0.765367i | 0.102338 | + | 0.0423898i | ||||
\(327\) | − | 32.0000i | − | 1.76960i | ||||||
\(328\) | −2.29610 | + | 5.54328i | −0.126781 | + | 0.306076i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 11.3137 | + | 11.3137i | 0.621858 | + | 0.621858i | 0.946006 | − | 0.324149i | \(-0.105078\pi\) |
−0.324149 | + | 0.946006i | \(0.605078\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −1.53073 | − | 3.69552i | −0.0838837 | − | 0.202513i | ||||
\(334\) | −11.0866 | + | 4.59220i | −0.606629 | + | 0.251274i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 8.00000i | 0.436436i | ||||||||
\(337\) | 20.3253 | + | 8.41904i | 1.10719 | + | 0.458614i | 0.859970 | − | 0.510345i | \(-0.170482\pi\) |
0.247222 | + | 0.968959i | \(0.420482\pi\) | |||||||
\(338\) | 6.36396 | − | 6.36396i | 0.346154 | − | 0.346154i | ||||
\(339\) | −12.0000 | −0.651751 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −24.0000 | −1.29967 | ||||||||
\(342\) | −2.82843 | + | 2.82843i | −0.152944 | + | 0.152944i | ||||
\(343\) | −7.39104 | − | 3.06147i | −0.399078 | − | 0.165304i | ||||
\(344\) | − | 8.00000i | − | 0.431331i | ||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 22.1731 | − | 9.18440i | 1.19203 | − | 0.493757i | ||||
\(347\) | −6.88830 | − | 16.6298i | −0.369783 | − | 0.892736i | −0.993785 | − | 0.111313i | \(-0.964494\pi\) |
0.624002 | − | 0.781423i | \(-0.285506\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 18.3848 | + | 18.3848i | 0.984115 | + | 0.984115i | 0.999876 | − | 0.0157613i | \(-0.00501718\pi\) |
−0.0157613 | + | 0.999876i | \(0.505017\pi\) | |||||||
\(350\) | 7.65367 | + | 18.4776i | 0.409106 | + | 0.987669i | ||||
\(351\) | −7.39104 | + | 3.06147i | −0.394504 | + | 0.163409i | ||||
\(352\) | 2.29610 | − | 5.54328i | 0.122383 | − | 0.295458i | ||||
\(353\) | 6.00000i | 0.319348i | 0.987170 | + | 0.159674i | \(0.0510443\pi\) | ||||
−0.987170 | + | 0.159674i | \(0.948956\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 6.00000 | 0.317999 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 12.0000 | 0.634220 | ||||||||
\(359\) | 16.9706 | − | 16.9706i | 0.895672 | − | 0.895672i | −0.0993777 | − | 0.995050i | \(-0.531685\pi\) |
0.995050 | + | 0.0993777i | \(0.0316852\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3.00000i | 0.157895i | ||||||||
\(362\) | 1.53073 | − | 3.69552i | 0.0804536 | − | 0.194232i | ||||
\(363\) | −46.1940 | + | 19.1342i | −2.42455 | + | 1.00428i | ||||
\(364\) | 3.06147 | + | 7.39104i | 0.160464 | + | 0.387396i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 5.65685 | + | 5.65685i | 0.295689 | + | 0.295689i | ||||
\(367\) | −6.12293 | − | 14.7821i | −0.319615 | − | 0.771618i | −0.999274 | − | 0.0380903i | \(-0.987873\pi\) |
0.679660 | − | 0.733528i | \(-0.262127\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 2.29610 | − | 5.54328i | 0.119530 | − | 0.288571i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −22.1731 | − | 9.18440i | −1.15117 | − | 0.476830i | ||||
\(372\) | −5.65685 | + | 5.65685i | −0.293294 | + | 0.293294i | ||||
\(373\) | 22.0000 | 1.13912 | 0.569558 | − | 0.821951i | \(-0.307114\pi\) | ||||
0.569558 | + | 0.821951i | \(0.307114\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 16.0000i | 0.822951i | ||||||||
\(379\) | −5.35757 | + | 12.9343i | −0.275200 | + | 0.664391i | −0.999690 | − | 0.0248939i | \(-0.992075\pi\) |
0.724490 | + | 0.689285i | \(0.242075\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −12.2459 | − | 29.5641i | −0.627375 | − | 1.51462i | ||||
\(382\) | 16.9706 | + | 16.9706i | 0.868290 | + | 0.868290i | ||||
\(383\) | −16.9706 | − | 16.9706i | −0.867155 | − | 0.867155i | 0.125001 | − | 0.992157i | \(-0.460106\pi\) |
−0.992157 | + | 0.125001i | \(0.960106\pi\) | |||||||
\(384\) | −0.765367 | − | 1.84776i | −0.0390575 | − | 0.0942931i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −3.82683 | + | 9.23880i | −0.194781 | + | 0.470242i | ||||
\(387\) | 8.00000i | 0.406663i | ||||||||
\(388\) | −12.9343 | − | 5.35757i | −0.656640 | − | 0.271989i | ||||
\(389\) | −21.2132 | + | 21.2132i | −1.07555 | + | 1.07555i | −0.0786498 | + | 0.996902i | \(0.525061\pi\) |
−0.996902 | + | 0.0786498i | \(0.974939\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 9.00000 | 0.454569 | ||||||||
\(393\) | 8.48528 | − | 8.48528i | 0.428026 | − | 0.428026i | ||||
\(394\) | −11.0866 | − | 4.59220i | −0.558533 | − | 0.231352i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −2.29610 | + | 5.54328i | −0.115383 | + | 0.278560i | ||||
\(397\) | 18.4776 | − | 7.65367i | 0.927364 | − | 0.384127i | 0.132686 | − | 0.991158i | \(-0.457640\pi\) |
0.794678 | + | 0.607032i | \(0.207640\pi\) | |||||||
\(398\) | 6.12293 | + | 14.7821i | 0.306915 | + | 0.740958i | ||||
\(399\) | 22.6274 | + | 22.6274i | 1.13279 | + | 1.13279i | ||||
\(400\) | −3.53553 | − | 3.53553i | −0.176777 | − | 0.176777i | ||||
\(401\) | 11.4805 | + | 27.7164i | 0.573309 | + | 1.38409i | 0.898722 | + | 0.438518i | \(0.144497\pi\) |
−0.325413 | + | 0.945572i | \(0.605503\pi\) | |||||||
\(402\) | 14.7821 | − | 6.12293i | 0.737263 | − | 0.305384i | ||||
\(403\) | −3.06147 | + | 7.39104i | −0.152503 | + | 0.368174i | ||||
\(404\) | 18.0000i | 0.895533i | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 24.0000 | 1.18964 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −10.0000 | −0.494468 | −0.247234 | − | 0.968956i | \(-0.579522\pi\) | ||||
−0.247234 | + | 0.968956i | \(0.579522\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −11.0866 | − | 4.59220i | −0.546859 | − | 0.226517i | ||||
\(412\) | 16.0000i | 0.788263i | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −1.41421 | − | 1.41421i | −0.0693375 | − | 0.0693375i | ||||
\(417\) | −2.82843 | − | 2.82843i | −0.138509 | − | 0.138509i | ||||
\(418\) | −9.18440 | − | 22.1731i | −0.449224 | − | 1.08452i | ||||
\(419\) | 27.7164 | − | 11.4805i | 1.35403 | − | 0.560859i | 0.416622 | − | 0.909080i | \(-0.363214\pi\) |
0.937413 | + | 0.348221i | \(0.113214\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.00000i | 0.0974740i | 0.998812 | + | 0.0487370i | \(0.0155196\pi\) | ||||
−0.998812 | + | 0.0487370i | \(0.984480\pi\) | |||||||
\(422\) | 9.23880 | + | 3.82683i | 0.449738 | + | 0.186287i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 6.00000 | 0.291386 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 11.3137 | − | 11.3137i | 0.547509 | − | 0.547509i | ||||
\(428\) | −5.54328 | − | 2.29610i | −0.267944 | − | 0.110986i | ||||
\(429\) | 24.0000i | 1.15873i | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 22.1731 | − | 9.18440i | 1.06804 | − | 0.442397i | 0.221742 | − | 0.975105i | \(-0.428826\pi\) |
0.846299 | + | 0.532708i | \(0.178826\pi\) | |||||||
\(432\) | −1.53073 | − | 3.69552i | −0.0736475 | − | 0.177801i | ||||
\(433\) | −1.41421 | − | 1.41421i | −0.0679628 | − | 0.0679628i | 0.672308 | − | 0.740271i | \(-0.265303\pi\) |
−0.740271 | + | 0.672308i | \(0.765303\pi\) | |||||||
\(434\) | 11.3137 | + | 11.3137i | 0.543075 | + | 0.543075i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 14.7821 | − | 6.12293i | 0.707933 | − | 0.293235i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | − | 4.00000i | − | 0.191127i | ||||||
\(439\) | −7.39104 | − | 3.06147i | −0.352755 | − | 0.146116i | 0.199268 | − | 0.979945i | \(-0.436144\pi\) |
−0.552022 | + | 0.833829i | \(0.686144\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −9.00000 | −0.428571 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −24.0000 | −1.14027 | −0.570137 | − | 0.821549i | \(-0.693110\pi\) | ||||
−0.570137 | + | 0.821549i | \(0.693110\pi\) | |||||||
\(444\) | 5.65685 | − | 5.65685i | 0.268462 | − | 0.268462i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | − | 8.00000i | − | 0.378811i | ||||||
\(447\) | 4.59220 | − | 11.0866i | 0.217204 | − | 0.524376i | ||||
\(448\) | −3.69552 | + | 1.53073i | −0.174597 | + | 0.0723204i | ||||
\(449\) | 6.88830 | + | 16.6298i | 0.325079 | + | 0.784810i | 0.998943 | + | 0.0459553i | \(0.0146332\pi\) |
−0.673864 | + | 0.738855i | \(0.735367\pi\) | |||||||
\(450\) | 3.53553 | + | 3.53553i | 0.166667 | + | 0.166667i | ||||
\(451\) | 25.4558 | + | 25.4558i | 1.19867 | + | 1.19867i | ||||
\(452\) | −2.29610 | − | 5.54328i | −0.107999 | − | 0.260734i | ||||
\(453\) | −29.5641 | + | 12.2459i | −1.38904 | + | 0.575361i | ||||
\(454\) | −2.29610 | + | 5.54328i | −0.107761 | + | 0.260159i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −7.39104 | − | 3.06147i | −0.346117 | − | 0.143366i | ||||
\(457\) | −18.3848 | + | 18.3848i | −0.860004 | + | 0.860004i | −0.991338 | − | 0.131335i | \(-0.958074\pi\) |
0.131335 | + | 0.991338i | \(0.458074\pi\) | |||||||
\(458\) | −14.0000 | −0.654177 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −4.24264 | + | 4.24264i | −0.197599 | + | 0.197599i | −0.798970 | − | 0.601371i | \(-0.794622\pi\) |
0.601371 | + | 0.798970i | \(0.294622\pi\) | |||||||
\(462\) | 44.3462 | + | 18.3688i | 2.06317 | + | 0.854594i | ||||
\(463\) | 16.0000i | 0.743583i | 0.928316 | + | 0.371792i | \(0.121256\pi\) | ||||
−0.928316 | + | 0.371792i | \(0.878744\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −6.88830 | − | 16.6298i | −0.319094 | − | 0.770362i | ||||
\(467\) | −8.48528 | − | 8.48528i | −0.392652 | − | 0.392652i | 0.482980 | − | 0.875632i | \(-0.339555\pi\) |
−0.875632 | + | 0.482980i | \(0.839555\pi\) | |||||||
\(468\) | 1.41421 | + | 1.41421i | 0.0653720 | + | 0.0653720i | ||||
\(469\) | −12.2459 | − | 29.5641i | −0.565462 | − | 1.36515i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −10.7151 | + | 25.8686i | −0.493727 | + | 1.19196i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −44.3462 | − | 18.3688i | −2.03904 | − | 0.844599i | ||||
\(474\) | 11.3137 | − | 11.3137i | 0.519656 | − | 0.519656i | ||||
\(475\) | −20.0000 | −0.917663 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −6.00000 | −0.274721 | ||||||||
\(478\) | 16.9706 | − | 16.9706i | 0.776215 | − | 0.776215i | ||||
\(479\) | 22.1731 | + | 9.18440i | 1.01312 | + | 0.419646i | 0.826590 | − | 0.562804i | \(-0.190277\pi\) |
0.186525 | + | 0.982450i | \(0.440277\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 3.06147 | − | 7.39104i | 0.139591 | − | 0.337002i | ||||
\(482\) | −9.23880 | + | 3.82683i | −0.420816 | + | 0.174308i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −17.6777 | − | 17.6777i | −0.803530 | − | 0.803530i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 3.82683 | + | 9.23880i | 0.173589 | + | 0.419080i | ||||
\(487\) | −7.39104 | + | 3.06147i | −0.334920 | + | 0.138728i | −0.543804 | − | 0.839212i | \(-0.683017\pi\) |
0.208885 | + | 0.977940i | \(0.433017\pi\) | |||||||
\(488\) | −1.53073 | + | 3.69552i | −0.0692931 | + | 0.167288i | ||||
\(489\) | − | 4.00000i | − | 0.180886i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 8.48528 | − | 8.48528i | 0.382935 | − | 0.382935i | −0.489223 | − | 0.872159i | \(-0.662720\pi\) |
0.872159 | + | 0.489223i | \(0.162720\pi\) | |||||||
\(492\) | 12.0000 | 0.541002 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | −8.00000 | −0.359937 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −3.69552 | − | 1.53073i | −0.165934 | − | 0.0687320i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 12.9343 | − | 5.35757i | 0.579019 | − | 0.239838i | −0.0738993 | − | 0.997266i | \(-0.523544\pi\) |
0.652919 | + | 0.757428i | \(0.273544\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 16.9706 | + | 16.9706i | 0.758189 | + | 0.758189i | ||||
\(502\) | −16.9706 | − | 16.9706i | −0.757433 | − | 0.757433i | ||||
\(503\) | −9.18440 | − | 22.1731i | −0.409512 | − | 0.988650i | −0.985266 | − | 0.171027i | \(-0.945291\pi\) |
0.575754 | − | 0.817623i | \(-0.304709\pi\) | |||||||
\(504\) | 3.69552 | − | 1.53073i | 0.164611 | − | 0.0681843i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −16.6298 | − | 6.88830i | −0.738557 | − | 0.305920i | ||||
\(508\) | 11.3137 | − | 11.3137i | 0.501965 | − | 0.501965i | ||||
\(509\) | −30.0000 | −1.32973 | −0.664863 | − | 0.746965i | \(-0.731510\pi\) | ||||
−0.664863 | + | 0.746965i | \(0.731510\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −8.00000 | −0.353899 | ||||||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | −14.7821 | − | 6.12293i | −0.652644 | − | 0.270334i | ||||
\(514\) | − | 6.00000i | − | 0.264649i | ||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −14.7821 | + | 6.12293i | −0.650744 | + | 0.269547i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −11.3137 | − | 11.3137i | −0.497096 | − | 0.497096i | ||||
\(519\) | −33.9411 | − | 33.9411i | −1.48985 | − | 1.48985i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 16.6298 | − | 6.88830i | 0.728566 | − | 0.301782i | 0.0126035 | − | 0.999921i | \(-0.495988\pi\) |
0.715963 | + | 0.698139i | \(0.245988\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 16.0000i | − | 0.699631i | −0.936819 | − | 0.349816i | \(-0.886244\pi\) | ||
0.936819 | − | 0.349816i | \(-0.113756\pi\) | |||||||
\(524\) | 5.54328 | + | 2.29610i | 0.242159 | + | 0.100306i | ||||
\(525\) | 28.2843 | − | 28.2843i | 1.23443 | − | 1.23443i | ||||
\(526\) | −24.0000 | −1.04645 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | −12.0000 | −0.522233 | ||||||||
\(529\) | −16.2635 | + | 16.2635i | −0.707107 | + | 0.707107i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −6.12293 | + | 14.7821i | −0.265463 | + | 0.640884i | ||||
\(533\) | 11.0866 | − | 4.59220i | 0.480212 | − | 0.198910i | ||||
\(534\) | −4.59220 | − | 11.0866i | −0.198724 | − | 0.479762i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 5.65685 | + | 5.65685i | 0.244339 | + | 0.244339i | ||||
\(537\) | −9.18440 | − | 22.1731i | −0.396336 | − | 0.956840i | ||||
\(538\) | 22.1731 | − | 9.18440i | 0.955951 | − | 0.395968i | ||||
\(539\) | 20.6649 | − | 49.8895i | 0.890100 | − | 2.14889i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −18.4776 | − | 7.65367i | −0.794414 | − | 0.329057i | −0.0516971 | − | 0.998663i | \(-0.516463\pi\) |
−0.742717 | + | 0.669606i | \(0.766463\pi\) | |||||||
\(542\) | −5.65685 | + | 5.65685i | −0.242983 | + | 0.242983i | ||||
\(543\) | −8.00000 | −0.343313 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 11.3137 | − | 11.3137i | 0.484182 | − | 0.484182i | ||||
\(547\) | 1.84776 | + | 0.765367i | 0.0790045 | + | 0.0327247i | 0.421836 | − | 0.906672i | \(-0.361386\pi\) |
−0.342831 | + | 0.939397i | \(0.611386\pi\) | |||||||
\(548\) | − | 6.00000i | − | 0.256307i | ||||||
\(549\) | 1.53073 | − | 3.69552i | 0.0653301 | − | 0.157721i | ||||
\(550\) | −27.7164 | + | 11.4805i | −1.18183 | + | 0.489530i | ||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −22.6274 | − | 22.6274i | −0.962216 | − | 0.962216i | ||||
\(554\) | 3.06147 | + | 7.39104i | 0.130069 | + | 0.314015i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.765367 | − | 1.84776i | 0.0324588 | − | 0.0783624i | ||||
\(557\) | − | 30.0000i | − | 1.27114i | −0.772043 | − | 0.635570i | \(-0.780765\pi\) | ||
0.772043 | − | 0.635570i | \(-0.219235\pi\) | |||||||
\(558\) | 3.69552 | + | 1.53073i | 0.156444 | + | 0.0648011i | ||||
\(559\) | −11.3137 | + | 11.3137i | −0.478519 | + | 0.478519i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 6.00000 | 0.253095 | ||||||||
\(563\) | −16.9706 | + | 16.9706i | −0.715224 | + | 0.715224i | −0.967623 | − | 0.252399i | \(-0.918780\pi\) |
0.252399 | + | 0.967623i | \(0.418780\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −5.35757 | + | 12.9343i | −0.225195 | + | 0.543670i | ||||
\(567\) | 40.6507 | − | 16.8381i | 1.70717 | − | 0.707133i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 21.2132 | + | 21.2132i | 0.889304 | + | 0.889304i | 0.994456 | − | 0.105152i | \(-0.0335330\pi\) |
−0.105152 | + | 0.994456i | \(0.533533\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 9.94977 | + | 24.0209i | 0.416385 | + | 1.00524i | 0.983386 | + | 0.181525i | \(0.0581034\pi\) |
−0.567001 | + | 0.823717i | \(0.691897\pi\) | |||||||
\(572\) | −11.0866 | + | 4.59220i | −0.463552 | + | 0.192010i | ||||
\(573\) | 18.3688 | − | 44.3462i | 0.767368 | − | 1.85259i | ||||
\(574\) | − | 24.0000i | − | 1.00174i | ||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −0.707107 | + | 0.707107i | −0.0294628 | + | 0.0294628i | ||||
\(577\) | −14.0000 | −0.582828 | −0.291414 | − | 0.956597i | \(-0.594126\pi\) | ||||
−0.291414 | + | 0.956597i | \(0.594126\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 20.0000 | 0.831172 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 28.0000i | 1.16064i | ||||||||
\(583\) | 13.7766 | − | 33.2597i | 0.570569 | − | 1.37747i | ||||
\(584\) | 1.84776 | − | 0.765367i | 0.0764608 | − | 0.0316711i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −4.24264 | − | 4.24264i | −0.175262 | − | 0.175262i | ||||
\(587\) | 8.48528 | + | 8.48528i | 0.350225 | + | 0.350225i | 0.860193 | − | 0.509968i | \(-0.170343\pi\) |
−0.509968 | + | 0.860193i | \(0.670343\pi\) | |||||||
\(588\) | −6.88830 | − | 16.6298i | −0.284069 | − | 0.685803i | ||||
\(589\) | −14.7821 | + | 6.12293i | −0.609085 | + | 0.252291i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 24.0000i | 0.987228i | ||||||||
\(592\) | 3.69552 | + | 1.53073i | 0.151885 | + | 0.0629128i | ||||
\(593\) | 21.2132 | − | 21.2132i | 0.871122 | − | 0.871122i | −0.121473 | − | 0.992595i | \(-0.538762\pi\) |
0.992595 | + | 0.121473i | \(0.0387618\pi\) | |||||||
\(594\) | −24.0000 | −0.984732 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 6.00000 | 0.245770 | ||||||||
\(597\) | 22.6274 | − | 22.6274i | 0.926079 | − | 0.926079i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 24.0000i | 0.980613i | 0.871550 | + | 0.490307i | \(0.163115\pi\) | ||||
−0.871550 | + | 0.490307i | \(0.836885\pi\) | |||||||
\(600\) | −3.82683 | + | 9.23880i | −0.156230 | + | 0.377172i | ||||
\(601\) | −42.4985 | + | 17.6034i | −1.73355 | + | 0.718059i | −0.734319 | + | 0.678804i | \(0.762498\pi\) |
−0.999229 | + | 0.0392547i | \(0.987502\pi\) | |||||||
\(602\) | 12.2459 | + | 29.5641i | 0.499104 | + | 1.20494i | ||||
\(603\) | −5.65685 | − | 5.65685i | −0.230365 | − | 0.230365i | ||||
\(604\) | −11.3137 | − | 11.3137i | −0.460348 | − | 0.460348i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 33.2597 | − | 13.7766i | 1.35108 | − | 0.559636i | ||||
\(607\) | 7.65367 | − | 18.4776i | 0.310653 | − | 0.749982i | −0.689028 | − | 0.724734i | \(-0.741962\pi\) |
0.999681 | − | 0.0252479i | \(-0.00803752\pi\) | |||||||
\(608\) | − | 4.00000i | − | 0.162221i | ||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 14.0000 | 0.565455 | 0.282727 | − | 0.959200i | \(-0.408761\pi\) | ||||
0.282727 | + | 0.959200i | \(0.408761\pi\) | |||||||
\(614\) | 14.1421 | − | 14.1421i | 0.570730 | − | 0.570730i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 24.0000i | 0.966988i | ||||||||
\(617\) | 11.4805 | − | 27.7164i | 0.462188 | − | 1.11582i | −0.505310 | − | 0.862938i | \(-0.668622\pi\) |
0.967497 | − | 0.252882i | \(-0.0813783\pi\) | |||||||
\(618\) | 29.5641 | − | 12.2459i | 1.18924 | − | 0.492601i | ||||
\(619\) | −9.94977 | − | 24.0209i | −0.399915 | − | 0.965480i | −0.987685 | − | 0.156452i | \(-0.949994\pi\) |
0.587770 | − | 0.809028i | \(-0.300006\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 4.59220 | + | 11.0866i | 0.184130 | + | 0.444530i | ||||
\(623\) | −22.1731 | + | 9.18440i | −0.888347 | + | 0.367965i | ||||
\(624\) | −1.53073 | + | 3.69552i | −0.0612784 | + | 0.147939i | ||||
\(625\) | 25.0000i | 1.00000i | ||||||||
\(626\) | 31.4119 | + | 13.0112i | 1.25547 | + | 0.520034i | ||||
\(627\) | −33.9411 | + | 33.9411i | −1.35548 | + | 1.35548i | ||||
\(628\) | −14.0000 | −0.558661 | ||||||||
\(629\) | 0 | 0 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 5.65685 | − | 5.65685i | 0.225196 | − | 0.225196i | −0.585486 | − | 0.810682i | \(-0.699096\pi\) |
0.810682 | + | 0.585486i | \(0.199096\pi\) | |||||||
\(632\) | 7.39104 | + | 3.06147i | 0.294000 | + | 0.121779i | ||||
\(633\) | − | 20.0000i | − | 0.794929i | ||||||
\(634\) | 4.59220 | − | 11.0866i | 0.182380 | − | 0.440303i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −4.59220 | − | 11.0866i | −0.182093 | − | 0.439610i | ||||
\(637\) | −12.7279 | − | 12.7279i | −0.504299 | − | 0.504299i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −6.88830 | + | 16.6298i | −0.272072 | + | 0.656839i | −0.999572 | − | 0.0292688i | \(-0.990682\pi\) |
0.727500 | + | 0.686108i | \(0.240682\pi\) | |||||||
\(642\) | 12.0000i | 0.473602i | ||||||||
\(643\) | −12.9343 | − | 5.35757i | −0.510080 | − | 0.211282i | 0.112774 | − | 0.993621i | \(-0.464027\pi\) |
−0.622853 | + | 0.782339i | \(0.714027\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −48.0000 | −1.88707 | −0.943537 | − | 0.331266i | \(-0.892524\pi\) | ||||
−0.943537 | + | 0.331266i | \(0.892524\pi\) | |||||||
\(648\) | −7.77817 | + | 7.77817i | −0.305556 | + | 0.305556i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 10.0000i | 0.392232i | ||||||||
\(651\) | 12.2459 | − | 29.5641i | 0.479953 | − | 1.15871i | ||||
\(652\) | 1.84776 | − | 0.765367i | 0.0723638 | − | 0.0299741i | ||||
\(653\) | −9.18440 | − | 22.1731i | −0.359413 | − | 0.867701i | −0.995383 | − | 0.0959864i | \(-0.969399\pi\) |
0.635969 | − | 0.771714i | \(-0.280601\pi\) | |||||||
\(654\) | −22.6274 | − | 22.6274i | −0.884802 | − | 0.884802i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 2.29610 | + | 5.54328i | 0.0896477 | + | 0.216429i | ||||
\(657\) | −1.84776 | + | 0.765367i | −0.0720879 | + | 0.0298598i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 12.0000i | − | 0.467454i | −0.972302 | − | 0.233727i | \(-0.924908\pi\) | ||
0.972302 | − | 0.233727i | \(-0.0750921\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 32.5269 | − | 32.5269i | 1.26515 | − | 1.26515i | 0.316587 | − | 0.948564i | \(-0.397463\pi\) |
0.948564 | − | 0.316587i | \(-0.102537\pi\) | |||||||
\(662\) | 16.0000 | 0.621858 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −3.69552 | − | 1.53073i | −0.143198 | − | 0.0593147i | ||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −4.59220 | + | 11.0866i | −0.177678 | + | 0.428952i | ||||
\(669\) | −14.7821 | + | 6.12293i | −0.571508 | + | 0.236726i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 16.9706 | + | 16.9706i | 0.655141 | + | 0.655141i | ||||
\(672\) | 5.65685 | + | 5.65685i | 0.218218 | + | 0.218218i | ||||
\(673\) | 14.5420 | + | 35.1074i | 0.560552 | + | 1.35329i | 0.909326 | + | 0.416085i | \(0.136598\pi\) |
−0.348774 | + | 0.937207i | \(0.613402\pi\) | |||||||
\(674\) | 20.3253 | − | 8.41904i | 0.782903 | − | 0.324289i | ||||
\(675\) | −7.65367 | + | 18.4776i | −0.294590 | + | 0.711203i | ||||
\(676\) | − | 9.00000i | − | 0.346154i | ||||||
\(677\) | 11.0866 | + | 4.59220i | 0.426091 | + | 0.176493i | 0.585415 | − | 0.810734i | \(-0.300932\pi\) |
−0.159324 | + | 0.987226i | \(0.550932\pi\) | |||||||
\(678\) | −8.48528 | + | 8.48528i | −0.325875 | + | 0.325875i | ||||
\(679\) | 56.0000 | 2.14908 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 12.0000 | 0.459841 | ||||||||
\(682\) | −16.9706 | + | 16.9706i | −0.649836 | + | 0.649836i | ||||
\(683\) | 27.7164 | + | 11.4805i | 1.06054 | + | 0.439289i | 0.843642 | − | 0.536906i | \(-0.180407\pi\) |
0.216896 | + | 0.976195i | \(0.430407\pi\) | |||||||
\(684\) | 4.00000i | 0.152944i | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −7.39104 | + | 3.06147i | −0.282191 | + | 0.116887i | ||||
\(687\) | 10.7151 | + | 25.8686i | 0.408808 | + | 0.986950i | ||||
\(688\) | −5.65685 | − | 5.65685i | −0.215666 | − | 0.215666i | ||||
\(689\) | −8.48528 | − | 8.48528i | −0.323263 | − | 0.323263i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 9.23880 | − | 3.82683i | 0.351460 | − | 0.145580i | −0.199967 | − | 0.979803i | \(-0.564083\pi\) |
0.551427 | + | 0.834223i | \(0.314083\pi\) | |||||||
\(692\) | 9.18440 | − | 22.1731i | 0.349139 | − | 0.842895i | ||||
\(693\) | − | 24.0000i | − | 0.911685i | ||||||
\(694\) | −16.6298 | − | 6.88830i | −0.631260 | − | 0.261476i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | 26.0000 | 0.984115 | ||||||||
\(699\) | −25.4558 | + | 25.4558i | −0.962828 | + | 0.962828i | ||||
\(700\) | 18.4776 | + | 7.65367i | 0.698387 | + | 0.289281i | ||||
\(701\) | − | 18.0000i | − | 0.679851i | −0.940452 | − | 0.339925i | \(-0.889598\pi\) | ||
0.940452 | − | 0.339925i | \(-0.110402\pi\) | |||||||
\(702\) | −3.06147 | + | 7.39104i | −0.115548 | + | 0.278957i | ||||
\(703\) | 14.7821 | − | 6.12293i | 0.557516 | − | 0.230931i | ||||
\(704\) | −2.29610 | − | 5.54328i | −0.0865375 | − | 0.208920i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 4.24264 | + | 4.24264i | 0.159674 | + | 0.159674i | ||||
\(707\) | −27.5532 | − | 66.5193i | −1.03625 | − | 2.50172i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −6.12293 | + | 14.7821i | −0.229952 | + | 0.555152i | −0.996171 | − | 0.0874268i | \(-0.972136\pi\) |
0.766219 | + | 0.642579i | \(0.222136\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −7.39104 | − | 3.06147i | −0.277186 | − | 0.114814i | ||||
\(712\) | 4.24264 | − | 4.24264i | 0.159000 | − | 0.159000i | ||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 8.48528 | − | 8.48528i | 0.317110 | − | 0.317110i | ||||
\(717\) | −44.3462 | − | 18.3688i | −1.65614 | − | 0.685996i | ||||
\(718\) | − | 24.0000i | − | 0.895672i | ||||||
\(719\) | −18.3688 | + | 44.3462i | −0.685041 | + | 1.65383i | 0.0695002 | + | 0.997582i | \(0.477860\pi\) |
−0.754541 | + | 0.656253i | \(0.772140\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −24.4917 | − | 59.1283i | −0.912120 | − | 2.20205i | ||||
\(722\) | 2.12132 | + | 2.12132i | 0.0789474 | + | 0.0789474i | ||||
\(723\) | 14.1421 | + | 14.1421i | 0.525952 | + | 0.525952i | ||||
\(724\) | −1.53073 | − | 3.69552i | −0.0568893 | − | 0.137343i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −19.1342 | + | 46.1940i | −0.710136 | + | 1.71442i | ||||
\(727\) | 8.00000i | 0.296704i | 0.988935 | + | 0.148352i | \(0.0473968\pi\) | ||||
−0.988935 | + | 0.148352i | \(0.952603\pi\) | |||||||
\(728\) | 7.39104 | + | 3.06147i | 0.273930 | + | 0.113466i | ||||
\(729\) | −9.19239 | + | 9.19239i | −0.340459 | + | 0.340459i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 8.00000 | 0.295689 | ||||||||
\(733\) | −15.5563 | + | 15.5563i | −0.574587 | + | 0.574587i | −0.933407 | − | 0.358820i | \(-0.883179\pi\) |
0.358820 | + | 0.933407i | \(0.383179\pi\) | |||||||
\(734\) | −14.7821 | − | 6.12293i | −0.545616 | − | 0.226002i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 44.3462 | − | 18.3688i | 1.63351 | − | 0.676624i | ||||
\(738\) | −2.29610 | − | 5.54328i | −0.0845206 | − | 0.204051i | ||||
\(739\) | −14.1421 | − | 14.1421i | −0.520227 | − | 0.520227i | 0.397413 | − | 0.917640i | \(-0.369908\pi\) |
−0.917640 | + | 0.397413i | \(0.869908\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 6.12293 | + | 14.7821i | 0.224932 | + | 0.543033i | ||||
\(742\) | −22.1731 | + | 9.18440i | −0.814000 | + | 0.337170i | ||||
\(743\) | −13.7766 | + | 33.2597i | −0.505415 | + | 1.22018i | 0.441083 | + | 0.897467i | \(0.354595\pi\) |
−0.946497 | + | 0.322712i | \(0.895405\pi\) | |||||||
\(744\) | 8.00000i | 0.293294i | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 15.5563 | − | 15.5563i | 0.569558 | − | 0.569558i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 24.0000 | 0.876941 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.39104 | + | 3.06147i | 0.269703 | + | 0.111715i | 0.513436 | − | 0.858128i | \(-0.328372\pi\) |
−0.243734 | + | 0.969842i | \(0.578372\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −18.3688 | + | 44.3462i | −0.669396 | + | 1.61607i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 11.3137 | + | 11.3137i | 0.411476 | + | 0.411476i | ||||
\(757\) | −7.07107 | − | 7.07107i | −0.257002 | − | 0.257002i | 0.566831 | − | 0.823834i | \(-0.308169\pi\) |
−0.823834 | + | 0.566831i | \(0.808169\pi\) | |||||||
\(758\) | 5.35757 | + | 12.9343i | 0.194596 | + | 0.469795i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 6.00000i | 0.217500i | 0.994069 | + | 0.108750i | \(0.0346848\pi\) | ||||
−0.994069 | + | 0.108750i | \(0.965315\pi\) | |||||||
\(762\) | −29.5641 | − | 12.2459i | −1.07100 | − | 0.443621i | ||||
\(763\) | −45.2548 | + | 45.2548i | −1.63833 | + | 1.63833i | ||||
\(764\) | 24.0000 | 0.868290 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −24.0000 | −0.867155 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | −1.84776 | − | 0.765367i | −0.0666753 | − | 0.0276178i | ||||
\(769\) | − | 14.0000i | − | 0.504853i | −0.967616 | − | 0.252426i | \(-0.918771\pi\) | ||
0.967616 | − | 0.252426i | \(-0.0812286\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −11.0866 | + | 4.59220i | −0.399273 | + | 0.165384i | ||||
\(772\) | 3.82683 | + | 9.23880i | 0.137731 | + | 0.332512i | ||||
\(773\) | 29.6985 | + | 29.6985i | 1.06818 | + | 1.06818i | 0.997499 | + | 0.0706813i | \(0.0225173\pi\) |
0.0706813 | + | 0.997499i | \(0.477483\pi\) | |||||||
\(774\) | 5.65685 | + | 5.65685i | 0.203331 | + | 0.203331i | ||||
\(775\) | 7.65367 | + | 18.4776i | 0.274928 | + | 0.663735i | ||||
\(776\) | −12.9343 | + | 5.35757i | −0.464315 | + | 0.192325i | ||||
\(777\) | −12.2459 | + | 29.5641i | −0.439318 | + | 1.06061i | ||||
\(778\) | 30.0000i | 1.07555i | ||||||||
\(779\) | 22.1731 | + | 9.18440i | 0.794434 | + | 0.329065i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 6.36396 | − | 6.36396i | 0.227284 | − | 0.227284i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | − | 12.0000i | − | 0.428026i | ||||||
\(787\) | 17.6034 | − | 42.4985i | 0.627495 | − | 1.51491i | −0.215231 | − | 0.976563i | \(-0.569050\pi\) |
0.842726 | − | 0.538343i | \(-0.180950\pi\) | |||||||
\(788\) | −11.0866 | + | 4.59220i | −0.394942 | + | 0.163590i | ||||
\(789\) | 18.3688 | + | 44.3462i | 0.653947 | + | 1.57877i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 16.9706 | + | 16.9706i | 0.603404 | + | 0.603404i | ||||
\(792\) | 2.29610 | + | 5.54328i | 0.0815884 | + | 0.196972i | ||||
\(793\) | 7.39104 | − | 3.06147i | 0.262463 | − | 0.108716i | ||||
\(794\) | 7.65367 | − | 18.4776i | 0.271619 | − | 0.655745i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 14.7821 | + | 6.12293i | 0.523937 | + | 0.217022i | ||||
\(797\) | −29.6985 | + | 29.6985i | −1.05197 | + | 1.05197i | −0.0534012 | + | 0.998573i | \(0.517006\pi\) |
−0.998573 | + | 0.0534012i | \(0.982994\pi\) | |||||||
\(798\) | 32.0000 | 1.13279 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | −5.00000 | −0.176777 | ||||||||
\(801\) | −4.24264 | + | 4.24264i | −0.149906 | + | 0.149906i | ||||
\(802\) | 27.7164 | + | 11.4805i | 0.978700 | + | 0.405391i | ||||
\(803\) | − | 12.0000i | − | 0.423471i | ||||||
\(804\) | 6.12293 | − | 14.7821i | 0.215939 | − | 0.521324i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 3.06147 | + | 7.39104i | 0.107836 | + | 0.260338i | ||||
\(807\) | −33.9411 | − | 33.9411i | −1.19478 | − | 1.19478i | ||||
\(808\) | 12.7279 | + | 12.7279i | 0.447767 | + | 0.447767i | ||||
\(809\) | 11.4805 | + | 27.7164i | 0.403633 | + | 0.974456i | 0.986776 | + | 0.162087i | \(0.0518225\pi\) |
−0.583143 | + | 0.812369i | \(0.698177\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 14.5420 | − | 35.1074i | 0.510638 | − | 1.23279i | −0.432876 | − | 0.901454i | \(-0.642501\pi\) |
0.943513 | − | 0.331335i | \(-0.107499\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 14.7821 | + | 6.12293i | 0.518430 | + | 0.214741i | ||||
\(814\) | 16.9706 | − | 16.9706i | 0.594818 | − | 0.594818i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −32.0000 | −1.11954 | ||||||||
\(818\) | −7.07107 | + | 7.07107i | −0.247234 | + | 0.247234i | ||||
\(819\) | −7.39104 | − | 3.06147i | −0.258264 | − | 0.106976i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −13.7766 | + | 33.2597i | −0.480807 | + | 1.16077i | 0.478420 | + | 0.878131i | \(0.341210\pi\) |
−0.959226 | + | 0.282639i | \(0.908790\pi\) | |||||||
\(822\) | −11.0866 | + | 4.59220i | −0.386688 | + | 0.160171i | ||||
\(823\) | 6.12293 | + | 14.7821i | 0.213432 | + | 0.515271i | 0.993946 | − | 0.109867i | \(-0.0350426\pi\) |
−0.780514 | + | 0.625138i | \(0.785043\pi\) | |||||||
\(824\) | 11.3137 | + | 11.3137i | 0.394132 | + | 0.394132i | ||||
\(825\) | 42.4264 | + | 42.4264i | 1.47710 | + | 1.47710i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −5.54328 | + | 2.29610i | −0.192759 | + | 0.0798432i | −0.476975 | − | 0.878917i | \(-0.658267\pi\) |
0.284216 | + | 0.958760i | \(0.408267\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | − | 10.0000i | − | 0.347314i | −0.984806 | − | 0.173657i | \(-0.944442\pi\) | ||
0.984806 | − | 0.173657i | \(-0.0555585\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 11.3137 | − | 11.3137i | 0.392468 | − | 0.392468i | ||||
\(832\) | −2.00000 | −0.0693375 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −4.00000 | −0.138509 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −22.1731 | − | 9.18440i | −0.766873 | − | 0.317649i | ||||
\(837\) | 16.0000i | 0.553041i | ||||||||
\(838\) | 11.4805 | − | 27.7164i | 0.396587 | − | 0.957447i | ||||
\(839\) | −33.2597 | + | 13.7766i | −1.14825 | + | 0.475621i | −0.873947 | − | 0.486022i | \(-0.838448\pi\) |
−0.274304 | + | 0.961643i | \(0.588448\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 20.5061 | + | 20.5061i | 0.707107 | + | 0.707107i | ||||
\(842\) | 1.41421 | + | 1.41421i | 0.0487370 | + | 0.0487370i | ||||
\(843\) | −4.59220 | − | 11.0866i | −0.158164 | − | 0.381841i | ||||
\(844\) | 9.23880 | − | 3.82683i | 0.318012 | − | 0.131725i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 92.3880 | + | 38.2683i | 3.17449 | + | 1.31492i | ||||
\(848\) | 4.24264 | − | 4.24264i | 0.145693 | − | 0.145693i | ||||
\(849\) | 28.0000 | 0.960958 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0 | 0 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −36.9552 | − | 15.3073i | −1.26532 | − | 0.524113i | −0.353783 | − | 0.935328i | \(-0.615105\pi\) |
−0.911539 | + | 0.411214i | \(0.865105\pi\) | |||||||
\(854\) | − | 16.0000i | − | 0.547509i | ||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −5.54328 | + | 2.29610i | −0.189465 | + | 0.0784791i | ||||
\(857\) | 6.88830 | + | 16.6298i | 0.235300 | + | 0.568064i | 0.996785 | − | 0.0801177i | \(-0.0255296\pi\) |
−0.761486 | + | 0.648182i | \(0.775530\pi\) | |||||||
\(858\) | 16.9706 | + | 16.9706i | 0.579365 | + | 0.579365i | ||||
\(859\) | −11.3137 | − | 11.3137i | −0.386019 | − | 0.386019i | 0.487246 | − | 0.873265i | \(-0.338002\pi\) |
−0.873265 | + | 0.487246i | \(0.838002\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −44.3462 | + | 18.3688i | −1.51132 | + | 0.626007i | ||||
\(862\) | 9.18440 | − | 22.1731i | 0.312822 | − | 0.755219i | ||||
\(863\) | 48.0000i | 1.63394i | 0.576681 | + | 0.816970i | \(0.304348\pi\) | ||||
−0.576681 | + | 0.816970i | \(0.695652\pi\) | |||||||
\(864\) | −3.69552 | − | 1.53073i | −0.125724 | − | 0.0520766i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −2.00000 | −0.0679628 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 16.0000 | 0.543075 | ||||||||
\(869\) | 33.9411 | − | 33.9411i | 1.15137 | − | 1.15137i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 16.0000i | − | 0.542139i | ||||||
\(872\) | 6.12293 | − | 14.7821i | 0.207349 | − | 0.500584i | ||||
\(873\) | 12.9343 | − | 5.35757i | 0.437760 | − | 0.181326i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −2.82843 | − | 2.82843i | −0.0955637 | − | 0.0955637i | ||||
\(877\) | 12.2459 | + | 29.5641i | 0.413514 | + | 0.998310i | 0.984187 | + | 0.177133i | \(0.0566823\pi\) |
−0.570673 | + | 0.821177i | \(0.693318\pi\) | |||||||
\(878\) | −7.39104 | + | 3.06147i | −0.249435 | + | 0.103320i | ||||
\(879\) | −4.59220 | + | 11.0866i | −0.154891 | + | 0.373940i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −16.6298 | − | 6.88830i | −0.560273 | − | 0.232073i | 0.0845306 | − | 0.996421i | \(-0.473061\pi\) |
−0.644804 | + | 0.764348i | \(0.723061\pi\) | |||||||
\(882\) | −6.36396 | + | 6.36396i | −0.214286 | + | 0.214286i | ||||
\(883\) | 16.0000 | 0.538443 | 0.269221 | − | 0.963078i | \(-0.413234\pi\) | ||||
0.269221 | + | 0.963078i | \(0.413234\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −16.9706 | + | 16.9706i | −0.570137 | + | 0.570137i | ||||
\(887\) | 22.1731 | + | 9.18440i | 0.744500 | + | 0.308382i | 0.722495 | − | 0.691376i | \(-0.242995\pi\) |
0.0220048 | + | 0.999758i | \(0.492995\pi\) | |||||||
\(888\) | − | 8.00000i | − | 0.268462i | ||||||
\(889\) | −24.4917 | + | 59.1283i | −0.821427 | + | 1.98310i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 25.2571 | + | 60.9760i | 0.846145 | + | 2.04277i | ||||
\(892\) | −5.65685 | − | 5.65685i | −0.189405 | − | 0.189405i | ||||
\(893\) | 0 | 0 | ||||||||
\(894\) | −4.59220 | − | 11.0866i | −0.153586 | − | 0.370790i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −1.53073 | + | 3.69552i | −0.0511382 | + | 0.123459i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 16.6298 | + | 6.88830i | 0.554945 | + | 0.229866i | ||||
\(899\) | 0 | 0 | ||||||||
\(900\) | 5.00000 | 0.166667 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 36.0000 | 1.19867 | ||||||||
\(903\) | 45.2548 | − | 45.2548i | 1.50599 | − | 1.50599i | ||||
\(904\) | −5.54328 | − | 2.29610i | −0.184367 | − | 0.0763672i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −12.2459 | + | 29.5641i | −0.406842 | + | 0.982203i | ||||
\(907\) | −53.5850 | + | 22.1956i | −1.77926 | + | 0.736994i | −0.786400 | + | 0.617717i | \(0.788058\pi\) |
−0.992861 | + | 0.119277i | \(0.961942\pi\) | |||||||
\(908\) | 2.29610 | + | 5.54328i | 0.0761988 | + | 0.183960i | ||||
\(909\) | −12.7279 | − | 12.7279i | −0.422159 | − | 0.422159i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 4.59220 | + | 11.0866i | 0.152146 | + | 0.367314i | 0.981514 | − | 0.191389i | \(-0.0612992\pi\) |
−0.829368 | + | 0.558703i | \(0.811299\pi\) | |||||||
\(912\) | −7.39104 | + | 3.06147i | −0.244742 | + | 0.101375i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 26.0000i | 0.860004i | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −9.89949 | + | 9.89949i | −0.327089 | + | 0.327089i | ||||
\(917\) | −24.0000 | −0.792550 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 56.0000 | 1.84727 | 0.923635 | − | 0.383274i | \(-0.125203\pi\) | ||||
0.923635 | + | 0.383274i | \(0.125203\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −36.9552 | − | 15.3073i | −1.21771 | − | 0.504394i | ||||
\(922\) | 6.00000i | 0.197599i | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 44.3462 | − | 18.3688i | 1.45888 | − | 0.604289i | ||||
\(925\) | −7.65367 | − | 18.4776i | −0.251651 | − | 0.607539i | ||||
\(926\) | 11.3137 | + | 11.3137i | 0.371792 | + | 0.371792i | ||||
\(927\) | −11.3137 | − | 11.3137i | −0.371591 | − | 0.371591i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 16.6298 | − | 6.88830i | 0.545607 | − | 0.225998i | −0.0928163 | − | 0.995683i | \(-0.529587\pi\) |
0.638423 | + | 0.769685i | \(0.279587\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | − | 36.0000i | − | 1.17985i | ||||||
\(932\) | −16.6298 | − | 6.88830i | −0.544728 | − | 0.225634i | ||||
\(933\) | 16.9706 | − | 16.9706i | 0.555591 | − | 0.555591i | ||||
\(934\) | −12.0000 | −0.392652 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 2.00000 | 0.0653720 | ||||||||
\(937\) | −41.0122 | + | 41.0122i | −1.33981 | + | 1.33981i | −0.443570 | + | 0.896240i | \(0.646288\pi\) |
−0.896240 | + | 0.443570i | \(0.853712\pi\) | |||||||
\(938\) | −29.5641 | − | 12.2459i | −0.965304 | − | 0.399842i | ||||
\(939\) | − | 68.0000i | − | 2.21910i | ||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −33.2597 | + | 13.7766i | −1.08423 | + | 0.449104i | −0.851993 | − | 0.523554i | \(-0.824606\pi\) |
−0.232241 | + | 0.972658i | \(0.574606\pi\) | |||||||
\(942\) | 10.7151 | + | 25.8686i | 0.349118 | + | 0.842845i | ||||
\(943\) | 0 | 0 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −44.3462 | + | 18.3688i | −1.44182 | + | 0.597221i | ||||
\(947\) | 6.88830 | − | 16.6298i | 0.223840 | − | 0.540397i | −0.771565 | − | 0.636150i | \(-0.780526\pi\) |
0.995405 | + | 0.0957531i | \(0.0305259\pi\) | |||||||
\(948\) | − | 16.0000i | − | 0.519656i | ||||||
\(949\) | −3.69552 | − | 1.53073i | −0.119962 | − | 0.0496897i | ||||
\(950\) | −14.1421 | + | 14.1421i | −0.458831 | + | 0.458831i | ||||
\(951\) | −24.0000 | −0.778253 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −30.0000 | −0.971795 | −0.485898 | − | 0.874016i | \(-0.661507\pi\) | ||||
−0.485898 | + | 0.874016i | \(0.661507\pi\) | |||||||
\(954\) | −4.24264 | + | 4.24264i | −0.137361 | + | 0.137361i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | − | 24.0000i | − | 0.776215i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 22.1731 | − | 9.18440i | 0.716381 | − | 0.296735i | ||||
\(959\) | 9.18440 | + | 22.1731i | 0.296580 | + | 0.716007i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −10.6066 | − | 10.6066i | −0.342148 | − | 0.342148i | ||||
\(962\) | −3.06147 | − | 7.39104i | −0.0987057 | − | 0.238297i | ||||
\(963\) | 5.54328 | − | 2.29610i | 0.178630 | − | 0.0739908i | ||||
\(964\) | −3.82683 | + | 9.23880i | −0.123254 | + | 0.297562i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 28.2843 | − | 28.2843i | 0.909561 | − | 0.909561i | −0.0866757 | − | 0.996237i | \(-0.527624\pi\) |
0.996237 | + | 0.0866757i | \(0.0276244\pi\) | |||||||
\(968\) | −25.0000 | −0.803530 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −16.9706 | + | 16.9706i | −0.544611 | + | 0.544611i | −0.924877 | − | 0.380266i | \(-0.875832\pi\) |
0.380266 | + | 0.924877i | \(0.375832\pi\) | |||||||
\(972\) | 9.23880 | + | 3.82683i | 0.296334 | + | 0.122746i | ||||
\(973\) | 8.00000i | 0.256468i | ||||||||
\(974\) | −3.06147 | + | 7.39104i | −0.0980957 | + | 0.236824i | ||||
\(975\) | 18.4776 | − | 7.65367i | 0.591756 | − | 0.245114i | ||||
\(976\) | 1.53073 | + | 3.69552i | 0.0489976 | + | 0.118291i | ||||
\(977\) | −29.6985 | − | 29.6985i | −0.950139 | − | 0.950139i | 0.0486759 | − | 0.998815i | \(-0.484500\pi\) |
−0.998815 | + | 0.0486759i | \(0.984500\pi\) | |||||||
\(978\) | −2.82843 | − | 2.82843i | −0.0904431 | − | 0.0904431i | ||||
\(979\) | −13.7766 | − | 33.2597i | −0.440302 | − | 1.06298i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −6.12293 | + | 14.7821i | −0.195490 | + | 0.471955i | ||||
\(982\) | − | 12.0000i | − | 0.382935i | ||||||
\(983\) | 0 | 0 | 0.382683 | − | 0.923880i | \(-0.375000\pi\) | ||||
−0.382683 | + | 0.923880i | \(0.625000\pi\) | |||||||
\(984\) | 8.48528 | − | 8.48528i | 0.270501 | − | 0.270501i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −5.65685 | + | 5.65685i | −0.179969 | + | 0.179969i | ||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 6.12293 | − | 14.7821i | 0.194501 | − | 0.469568i | −0.796298 | − | 0.604904i | \(-0.793211\pi\) |
0.990800 | + | 0.135336i | \(0.0432114\pi\) | |||||||
\(992\) | −3.69552 | + | 1.53073i | −0.117333 | + | 0.0486008i | ||||
\(993\) | −12.2459 | − | 29.5641i | −0.388611 | − | 0.938190i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 25.8686 | − | 10.7151i | 0.819268 | − | 0.339352i | 0.0666226 | − | 0.997778i | \(-0.478778\pi\) |
0.752645 | + | 0.658426i | \(0.228778\pi\) | |||||||
\(998\) | 5.35757 | − | 12.9343i | 0.169591 | − | 0.409429i | ||||
\(999\) | − | 16.0000i | − | 0.506218i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))