Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(79,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.79");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.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: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.4406832.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{5} + 6x^{4} + 7x^{3} + 24x^{2} + 5x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 79.2 | ||
Root | \(-0.105378 - 0.182520i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 637.79 |
Dual form | 637.2.e.l.508.2 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.605378 | − | 1.04855i | 0.428067 | − | 0.741434i | −0.568635 | − | 0.822590i | \(-0.692528\pi\) |
0.996701 | + | 0.0811568i | \(0.0258614\pi\) | |||||||
\(3\) | −0.872413 | − | 1.51106i | −0.503688 | − | 0.872413i | −0.999991 | − | 0.00426367i | \(-0.998643\pi\) |
0.496303 | − | 0.868149i | \(-0.334691\pi\) | |||||||
\(4\) | 0.267035 | + | 0.462518i | 0.133518 | + | 0.231259i | ||||
\(5\) | 1.10538 | − | 1.91457i | 0.494340 | − | 0.856222i | −0.505639 | − | 0.862745i | \(-0.668743\pi\) |
0.999979 | + | 0.00652327i | \(0.00207644\pi\) | |||||||
\(6\) | −2.11256 | −0.862448 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 3.06814 | 1.08475 | ||||||||
\(9\) | −0.0222090 | + | 0.0384672i | −0.00740301 | + | 0.0128224i | ||||
\(10\) | −1.33834 | − | 2.31808i | −0.423221 | − | 0.733041i | ||||
\(11\) | 0.394622 | + | 0.683505i | 0.118983 | + | 0.206085i | 0.919365 | − | 0.393406i | \(-0.128703\pi\) |
−0.800382 | + | 0.599490i | \(0.795370\pi\) | |||||||
\(12\) | 0.465930 | − | 0.807014i | 0.134502 | − | 0.232965i | ||||
\(13\) | 1.00000 | 0.277350 | ||||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −3.85738 | −0.995972 | ||||||||
\(16\) | 1.32331 | − | 2.29205i | 0.330829 | − | 0.573012i | ||||
\(17\) | −0.872413 | − | 1.51106i | −0.211591 | − | 0.366487i | 0.740621 | − | 0.671923i | \(-0.234531\pi\) |
−0.952213 | + | 0.305436i | \(0.901198\pi\) | |||||||
\(18\) | 0.0268897 | + | 0.0465743i | 0.00633796 | + | 0.0109777i | ||||
\(19\) | 2.16166 | − | 3.74410i | 0.495918 | − | 0.858955i | −0.504071 | − | 0.863662i | \(-0.668165\pi\) |
0.999989 | + | 0.00470690i | \(0.00149826\pi\) | |||||||
\(20\) | 1.18070 | 0.264012 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.955582 | 0.203731 | ||||||||
\(23\) | 0.556279 | − | 0.963504i | 0.115992 | − | 0.200904i | −0.802184 | − | 0.597077i | \(-0.796329\pi\) |
0.918176 | + | 0.396173i | \(0.129662\pi\) | |||||||
\(24\) | −2.67669 | − | 4.63616i | −0.546376 | − | 0.946351i | ||||
\(25\) | 0.0562792 | + | 0.0974785i | 0.0112558 | + | 0.0194957i | ||||
\(26\) | 0.605378 | − | 1.04855i | 0.118724 | − | 0.205637i | ||||
\(27\) | −5.15698 | −0.992461 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −8.48965 | −1.57649 | −0.788244 | − | 0.615362i | \(-0.789010\pi\) | ||||
−0.788244 | + | 0.615362i | \(0.789010\pi\) | |||||||
\(30\) | −2.33518 | + | 4.04464i | −0.426343 | + | 0.738447i | ||||
\(31\) | 2.85020 | + | 4.93670i | 0.511912 | + | 0.886657i | 0.999905 | + | 0.0138096i | \(0.00439586\pi\) |
−0.487993 | + | 0.872848i | \(0.662271\pi\) | |||||||
\(32\) | 1.46593 | + | 2.53906i | 0.259142 | + | 0.448848i | ||||
\(33\) | 0.688547 | − | 1.19260i | 0.119861 | − | 0.207605i | ||||
\(34\) | −2.11256 | −0.362301 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.0237224 | −0.00395373 | ||||||||
\(37\) | −1.13945 | + | 1.97358i | −0.187324 | + | 0.324455i | −0.944357 | − | 0.328922i | \(-0.893315\pi\) |
0.757033 | + | 0.653377i | \(0.226648\pi\) | |||||||
\(38\) | −2.61724 | − | 4.53319i | −0.424572 | − | 0.735381i | ||||
\(39\) | −0.872413 | − | 1.51106i | −0.139698 | − | 0.241964i | ||||
\(40\) | 3.39145 | − | 5.87417i | 0.536236 | − | 0.928788i | ||||
\(41\) | −12.1363 | −1.89537 | −0.947684 | − | 0.319209i | \(-0.896583\pi\) | ||||
−0.947684 | + | 0.319209i | \(0.896583\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 8.06814 | 1.23038 | 0.615190 | − | 0.788379i | \(-0.289079\pi\) | ||||
0.615190 | + | 0.788379i | \(0.289079\pi\) | |||||||
\(44\) | −0.210756 | + | 0.365040i | −0.0317726 | + | 0.0550318i | ||||
\(45\) | 0.0490987 | + | 0.0850415i | 0.00731921 | + | 0.0126772i | ||||
\(46\) | −0.673518 | − | 1.16657i | −0.0993049 | − | 0.172001i | ||||
\(47\) | 4.37241 | − | 7.57324i | 0.637782 | − | 1.10467i | −0.348136 | − | 0.937444i | \(-0.613185\pi\) |
0.985918 | − | 0.167227i | \(-0.0534813\pi\) | |||||||
\(48\) | −4.61791 | −0.666537 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0.136281 | 0.0192730 | ||||||||
\(51\) | −1.52221 | + | 2.63654i | −0.213152 | + | 0.369190i | ||||
\(52\) | 0.267035 | + | 0.462518i | 0.0370311 | + | 0.0641398i | ||||
\(53\) | −3.97779 | − | 6.88974i | −0.546392 | − | 0.946378i | −0.998518 | − | 0.0544241i | \(-0.982668\pi\) |
0.452126 | − | 0.891954i | \(-0.350666\pi\) | |||||||
\(54\) | −3.12192 | + | 5.40732i | −0.424839 | + | 0.735844i | ||||
\(55\) | 1.74483 | 0.235272 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −7.54343 | −0.999152 | ||||||||
\(58\) | −5.13945 | + | 8.90179i | −0.674843 | + | 1.16886i | ||||
\(59\) | 5.47779 | + | 9.48781i | 0.713148 | + | 1.23521i | 0.963670 | + | 0.267097i | \(0.0860644\pi\) |
−0.250522 | + | 0.968111i | \(0.580602\pi\) | |||||||
\(60\) | −1.03006 | − | 1.78411i | −0.132980 | − | 0.230328i | ||||
\(61\) | −6.53407 | + | 11.3173i | −0.836602 | + | 1.44904i | 0.0561175 | + | 0.998424i | \(0.482128\pi\) |
−0.892719 | + | 0.450613i | \(0.851205\pi\) | |||||||
\(62\) | 6.90180 | 0.876530 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.84302 | 1.10538 | ||||||||
\(65\) | 1.10538 | − | 1.91457i | 0.137105 | − | 0.237473i | ||||
\(66\) | −0.833662 | − | 1.44395i | −0.102617 | − | 0.177737i | ||||
\(67\) | −3.27890 | − | 5.67921i | −0.400581 | − | 0.693827i | 0.593215 | − | 0.805044i | \(-0.297858\pi\) |
−0.993796 | + | 0.111217i | \(0.964525\pi\) | |||||||
\(68\) | 0.465930 | − | 0.807014i | 0.0565023 | − | 0.0978648i | ||||
\(69\) | −1.94122 | −0.233696 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.85738 | 0.695144 | 0.347572 | − | 0.937653i | \(-0.387006\pi\) | ||||
0.347572 | + | 0.937653i | \(0.387006\pi\) | |||||||
\(72\) | −0.0681404 | + | 0.118023i | −0.00803042 | + | 0.0139091i | ||||
\(73\) | 4.00468 | + | 6.93631i | 0.468712 | + | 0.811834i | 0.999360 | − | 0.0357585i | \(-0.0113847\pi\) |
−0.530648 | + | 0.847592i | \(0.678051\pi\) | |||||||
\(74\) | 1.37959 | + | 2.38953i | 0.160374 | + | 0.277777i | ||||
\(75\) | 0.0981974 | − | 0.170083i | 0.0113389 | − | 0.0196395i | ||||
\(76\) | 2.30895 | 0.264855 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −2.11256 | −0.239200 | ||||||||
\(79\) | 3.45558 | − | 5.98524i | 0.388783 | − | 0.673393i | −0.603503 | − | 0.797361i | \(-0.706229\pi\) |
0.992286 | + | 0.123968i | \(0.0395621\pi\) | |||||||
\(80\) | −2.92552 | − | 5.06716i | −0.327084 | − | 0.566525i | ||||
\(81\) | 4.56564 | + | 7.90792i | 0.507293 | + | 0.878658i | ||||
\(82\) | −7.34704 | + | 12.7254i | −0.811344 | + | 1.40529i | ||||
\(83\) | −3.14262 | −0.344947 | −0.172473 | − | 0.985014i | \(-0.555176\pi\) | ||||
−0.172473 | + | 0.985014i | \(0.555176\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.85738 | −0.418392 | ||||||||
\(86\) | 4.88427 | − | 8.45981i | 0.526685 | − | 0.912245i | ||||
\(87\) | 7.40648 | + | 12.8284i | 0.794058 | + | 1.37535i | ||||
\(88\) | 1.21076 | + | 2.09709i | 0.129067 | + | 0.223551i | ||||
\(89\) | 1.69573 | − | 2.93709i | 0.179747 | − | 0.311330i | −0.762047 | − | 0.647522i | \(-0.775806\pi\) |
0.941794 | + | 0.336191i | \(0.109139\pi\) | |||||||
\(90\) | 0.118893 | 0.0125324 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0.594184 | 0.0619480 | ||||||||
\(93\) | 4.97311 | − | 8.61368i | 0.515688 | − | 0.893197i | ||||
\(94\) | −5.29392 | − | 9.16935i | −0.546027 | − | 0.945746i | ||||
\(95\) | −4.77890 | − | 8.27729i | −0.490304 | − | 0.849232i | ||||
\(96\) | 2.55779 | − | 4.43023i | 0.261054 | − | 0.452158i | ||||
\(97\) | 0.0981974 | 0.00997044 | 0.00498522 | − | 0.999988i | \(-0.498413\pi\) | ||||
0.00498522 | + | 0.999988i | \(0.498413\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.0350567 | −0.00352333 | ||||||||
\(100\) | −0.0300571 | + | 0.0520603i | −0.00300571 | + | 0.00520603i | ||||
\(101\) | 3.45090 | + | 5.97714i | 0.343378 | + | 0.594747i | 0.985058 | − | 0.172225i | \(-0.0550956\pi\) |
−0.641680 | + | 0.766972i | \(0.721762\pi\) | |||||||
\(102\) | 1.84302 | + | 3.19221i | 0.182487 | + | 0.316076i | ||||
\(103\) | −7.91116 | + | 13.7025i | −0.779510 | + | 1.35015i | 0.152714 | + | 0.988270i | \(0.451199\pi\) |
−0.932224 | + | 0.361881i | \(0.882135\pi\) | |||||||
\(104\) | 3.06814 | 0.300856 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −9.63227 | −0.935569 | ||||||||
\(107\) | 1.01186 | − | 1.75259i | 0.0978203 | − | 0.169430i | −0.812962 | − | 0.582317i | \(-0.802146\pi\) |
0.910782 | + | 0.412887i | \(0.135480\pi\) | |||||||
\(108\) | −1.37709 | − | 2.38520i | −0.132511 | − | 0.229516i | ||||
\(109\) | 8.67352 | + | 15.0230i | 0.830772 | + | 1.43894i | 0.897427 | + | 0.441164i | \(0.145434\pi\) |
−0.0666542 | + | 0.997776i | \(0.521232\pi\) | |||||||
\(110\) | 1.05628 | − | 1.82953i | 0.100712 | − | 0.174439i | ||||
\(111\) | 3.97628 | 0.377412 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 10.1807 | 0.957720 | 0.478860 | − | 0.877891i | \(-0.341050\pi\) | ||||
0.478860 | + | 0.877891i | \(0.341050\pi\) | |||||||
\(114\) | −4.56663 | + | 7.90963i | −0.427704 | + | 0.740805i | ||||
\(115\) | −1.22980 | − | 2.13007i | −0.114679 | − | 0.198630i | ||||
\(116\) | −2.26704 | − | 3.92662i | −0.210489 | − | 0.364578i | ||||
\(117\) | −0.0222090 | + | 0.0384672i | −0.00205322 | + | 0.00355629i | ||||
\(118\) | 13.2645 | 1.22110 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −11.8350 | −1.08038 | ||||||||
\(121\) | 5.18855 | − | 8.98683i | 0.471686 | − | 0.816984i | ||||
\(122\) | 7.91116 | + | 13.7025i | 0.716243 | + | 1.24057i | ||||
\(123\) | 10.5878 | + | 18.3387i | 0.954674 | + | 1.65354i | ||||
\(124\) | −1.52221 | + | 2.63654i | −0.136698 | + | 0.236769i | ||||
\(125\) | 11.3026 | 1.01094 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 16.4452 | 1.45928 | 0.729639 | − | 0.683832i | \(-0.239688\pi\) | ||||
0.729639 | + | 0.683832i | \(0.239688\pi\) | |||||||
\(128\) | 2.42151 | − | 4.19418i | 0.214033 | − | 0.370717i | ||||
\(129\) | −7.03875 | − | 12.1915i | −0.619727 | − | 1.07340i | ||||
\(130\) | −1.33834 | − | 2.31808i | −0.117380 | − | 0.203309i | ||||
\(131\) | 6.16634 | − | 10.6804i | 0.538755 | − | 0.933152i | −0.460216 | − | 0.887807i | \(-0.652228\pi\) |
0.998971 | − | 0.0453448i | \(-0.0144386\pi\) | |||||||
\(132\) | 0.735465 | 0.0640140 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −7.93989 | −0.685902 | ||||||||
\(135\) | −5.70041 | + | 9.87340i | −0.490613 | + | 0.849767i | ||||
\(136\) | −2.67669 | − | 4.63616i | −0.229524 | − | 0.397547i | ||||
\(137\) | 1.67352 | + | 2.89862i | 0.142978 | + | 0.247646i | 0.928617 | − | 0.371040i | \(-0.120999\pi\) |
−0.785639 | + | 0.618686i | \(0.787665\pi\) | |||||||
\(138\) | −1.17517 | + | 2.03546i | −0.100037 | + | 0.173270i | ||||
\(139\) | 6.16634 | 0.523022 | 0.261511 | − | 0.965201i | \(-0.415779\pi\) | ||||
0.261511 | + | 0.965201i | \(0.415779\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −15.2582 | −1.28497 | ||||||||
\(142\) | 3.54593 | − | 6.14173i | 0.297568 | − | 0.515403i | ||||
\(143\) | 0.394622 | + | 0.683505i | 0.0330000 | + | 0.0571576i | ||||
\(144\) | 0.0587790 | + | 0.101808i | 0.00489825 | + | 0.00848402i | ||||
\(145\) | −9.38427 | + | 16.2540i | −0.779322 | + | 1.34982i | ||||
\(146\) | 9.69738 | 0.802561 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.21709 | −0.100044 | ||||||||
\(149\) | −9.41834 | + | 16.3131i | −0.771581 | + | 1.33642i | 0.165115 | + | 0.986274i | \(0.447200\pi\) |
−0.936696 | + | 0.350143i | \(0.886133\pi\) | |||||||
\(150\) | −0.118893 | − | 0.205929i | −0.00970758 | − | 0.0168140i | ||||
\(151\) | −10.0950 | − | 17.4851i | −0.821522 | − | 1.42292i | −0.904549 | − | 0.426370i | \(-0.859792\pi\) |
0.0830268 | − | 0.996547i | \(-0.473541\pi\) | |||||||
\(152\) | 6.63227 | − | 11.4874i | 0.537948 | − | 0.931753i | ||||
\(153\) | 0.0775018 | 0.00626565 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 12.6022 | 1.01223 | ||||||||
\(156\) | 0.465930 | − | 0.807014i | 0.0373042 | − | 0.0646128i | ||||
\(157\) | 6.94055 | + | 12.0214i | 0.553916 | + | 0.959411i | 0.997987 | + | 0.0634196i | \(0.0202006\pi\) |
−0.444070 | + | 0.895992i | \(0.646466\pi\) | |||||||
\(158\) | −4.18387 | − | 7.24667i | −0.332851 | − | 0.576514i | ||||
\(159\) | −6.94055 | + | 12.0214i | −0.550422 | + | 0.953358i | ||||
\(160\) | 6.48163 | 0.512418 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 11.0558 | 0.868622 | ||||||||
\(163\) | −5.74483 | + | 9.95033i | −0.449970 | + | 0.779370i | −0.998383 | − | 0.0568369i | \(-0.981898\pi\) |
0.548414 | + | 0.836207i | \(0.315232\pi\) | |||||||
\(164\) | −3.24081 | − | 5.61325i | −0.253065 | − | 0.438321i | ||||
\(165\) | −1.52221 | − | 2.63654i | −0.118504 | − | 0.205255i | ||||
\(166\) | −1.90247 | + | 3.29517i | −0.147660 | + | 0.255755i | ||||
\(167\) | 12.9699 | 1.00364 | 0.501822 | − | 0.864971i | \(-0.332663\pi\) | ||||
0.501822 | + | 0.864971i | \(0.332663\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.00000 | 0.0769231 | ||||||||
\(170\) | −2.33518 | + | 4.04464i | −0.179100 | + | 0.310210i | ||||
\(171\) | 0.0960166 | + | 0.166306i | 0.00734257 | + | 0.0127177i | ||||
\(172\) | 2.15448 | + | 3.73166i | 0.164277 | + | 0.284537i | ||||
\(173\) | 1.24015 | − | 2.14799i | 0.0942865 | − | 0.163309i | −0.815024 | − | 0.579427i | \(-0.803276\pi\) |
0.909311 | + | 0.416118i | \(0.136610\pi\) | |||||||
\(174\) | 17.9349 | 1.35964 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 2.08884 | 0.157452 | ||||||||
\(177\) | 9.55779 | − | 16.5546i | 0.718408 | − | 1.24432i | ||||
\(178\) | −2.05311 | − | 3.55609i | −0.153887 | − | 0.266541i | ||||
\(179\) | 4.07849 | + | 7.06415i | 0.304841 | + | 0.527999i | 0.977226 | − | 0.212202i | \(-0.0680635\pi\) |
−0.672385 | + | 0.740201i | \(0.734730\pi\) | |||||||
\(180\) | −0.0262222 | + | 0.0454181i | −0.00195448 | + | 0.00338527i | ||||
\(181\) | −3.60855 | −0.268221 | −0.134111 | − | 0.990966i | \(-0.542818\pi\) | ||||
−0.134111 | + | 0.990966i | \(0.542818\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 22.8016 | 1.68555 | ||||||||
\(184\) | 1.70674 | − | 2.95617i | 0.125823 | − | 0.217931i | ||||
\(185\) | 2.51904 | + | 4.36311i | 0.185204 | + | 0.320782i | ||||
\(186\) | −6.02122 | − | 10.4291i | −0.441497 | − | 0.764696i | ||||
\(187\) | 0.688547 | − | 1.19260i | 0.0503515 | − | 0.0872114i | ||||
\(188\) | 4.67035 | 0.340620 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −11.5722 | −0.839532 | ||||||||
\(191\) | −0.168838 | + | 0.292435i | −0.0122167 | + | 0.0211599i | −0.872069 | − | 0.489383i | \(-0.837222\pi\) |
0.859852 | + | 0.510543i | \(0.170555\pi\) | |||||||
\(192\) | −7.71477 | − | 13.3624i | −0.556765 | − | 0.964346i | ||||
\(193\) | −4.21076 | − | 7.29324i | −0.303097 | − | 0.524979i | 0.673739 | − | 0.738969i | \(-0.264687\pi\) |
−0.976836 | + | 0.213990i | \(0.931354\pi\) | |||||||
\(194\) | 0.0594466 | − | 0.102964i | 0.00426801 | − | 0.00739242i | ||||
\(195\) | −3.85738 | −0.276233 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −8.51035 | −0.606337 | −0.303169 | − | 0.952937i | \(-0.598045\pi\) | ||||
−0.303169 | + | 0.952937i | \(0.598045\pi\) | |||||||
\(198\) | −0.0212225 | + | 0.0367585i | −0.00150822 | + | 0.00261231i | ||||
\(199\) | −7.30829 | − | 12.6583i | −0.518071 | − | 0.897325i | −0.999780 | − | 0.0209934i | \(-0.993317\pi\) |
0.481709 | − | 0.876331i | \(-0.340016\pi\) | |||||||
\(200\) | 0.172673 | + | 0.299078i | 0.0122098 | + | 0.0211480i | ||||
\(201\) | −5.72110 | + | 9.90924i | −0.403536 | + | 0.698944i | ||||
\(202\) | 8.35640 | 0.587954 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −1.62593 | −0.113838 | ||||||||
\(205\) | −13.4152 | + | 23.2358i | −0.936957 | + | 1.62286i | ||||
\(206\) | 9.57849 | + | 16.5904i | 0.667365 | + | 1.15591i | ||||
\(207\) | 0.0247088 | + | 0.0427970i | 0.00171738 | + | 0.00297459i | ||||
\(208\) | 1.32331 | − | 2.29205i | 0.0917553 | − | 0.158925i | ||||
\(209\) | 3.41215 | 0.236023 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −23.8667 | −1.64305 | −0.821527 | − | 0.570169i | \(-0.806878\pi\) | ||||
−0.821527 | + | 0.570169i | \(0.806878\pi\) | |||||||
\(212\) | 2.12442 | − | 3.67960i | 0.145906 | − | 0.252716i | ||||
\(213\) | −5.11006 | − | 8.85088i | −0.350135 | − | 0.606452i | ||||
\(214\) | −1.22512 | − | 2.12196i | −0.0837473 | − | 0.145055i | ||||
\(215\) | 8.91834 | − | 15.4470i | 0.608226 | − | 1.05348i | ||||
\(216\) | −15.8223 | −1.07657 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 21.0030 | 1.42250 | ||||||||
\(219\) | 6.98747 | − | 12.1027i | 0.472170 | − | 0.817822i | ||||
\(220\) | 0.465930 | + | 0.807014i | 0.0314130 | + | 0.0544089i | ||||
\(221\) | −0.872413 | − | 1.51106i | −0.0586849 | − | 0.101645i | ||||
\(222\) | 2.40715 | − | 4.16931i | 0.161557 | − | 0.279826i | ||||
\(223\) | −1.27890 | −0.0856412 | −0.0428206 | − | 0.999083i | \(-0.513634\pi\) | ||||
−0.0428206 | + | 0.999083i | \(0.513634\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −0.00499963 | −0.000333308 | ||||||||
\(226\) | 6.16317 | − | 10.6749i | 0.409968 | − | 0.710085i | ||||
\(227\) | 4.78924 | + | 8.29521i | 0.317873 | + | 0.550573i | 0.980044 | − | 0.198780i | \(-0.0636980\pi\) |
−0.662171 | + | 0.749353i | \(0.730365\pi\) | |||||||
\(228\) | −2.01436 | − | 3.48898i | −0.133404 | − | 0.231063i | ||||
\(229\) | −6.75669 | + | 11.7029i | −0.446494 | + | 0.773351i | −0.998155 | − | 0.0607177i | \(-0.980661\pi\) |
0.551661 | + | 0.834069i | \(0.313994\pi\) | |||||||
\(230\) | −2.97797 | −0.196361 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −26.0474 | −1.71010 | ||||||||
\(233\) | −14.4793 | + | 25.0789i | −0.948571 | + | 1.64297i | −0.200132 | + | 0.979769i | \(0.564137\pi\) |
−0.748439 | + | 0.663204i | \(0.769196\pi\) | |||||||
\(234\) | 0.0268897 | + | 0.0465743i | 0.00175783 | + | 0.00304466i | ||||
\(235\) | −9.66634 | − | 16.7426i | −0.630562 | − | 1.09217i | ||||
\(236\) | −2.92552 | + | 5.06716i | −0.190435 | + | 0.329844i | ||||
\(237\) | −12.0588 | −0.783302 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −24.1363 | −1.56125 | −0.780623 | − | 0.625002i | \(-0.785098\pi\) | ||||
−0.780623 | + | 0.625002i | \(0.785098\pi\) | |||||||
\(240\) | −5.10453 | + | 8.84131i | −0.329496 | + | 0.570704i | ||||
\(241\) | −4.96276 | − | 8.59576i | −0.319680 | − | 0.553701i | 0.660742 | − | 0.750614i | \(-0.270242\pi\) |
−0.980421 | + | 0.196912i | \(0.936909\pi\) | |||||||
\(242\) | −6.28206 | − | 10.8809i | −0.403826 | − | 0.699448i | ||||
\(243\) | 0.230784 | − | 0.399730i | 0.0148048 | − | 0.0256427i | ||||
\(244\) | −6.97930 | −0.446804 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 25.6386 | 1.63466 | ||||||||
\(247\) | 2.16166 | − | 3.74410i | 0.137543 | − | 0.238231i | ||||
\(248\) | 8.74483 | + | 15.1465i | 0.555297 | + | 0.961803i | ||||
\(249\) | 2.74166 | + | 4.74869i | 0.173746 | + | 0.300936i | ||||
\(250\) | 6.84236 | − | 11.8513i | 0.432749 | − | 0.749543i | ||||
\(251\) | −18.4990 | −1.16765 | −0.583824 | − | 0.811880i | \(-0.698444\pi\) | ||||
−0.583824 | + | 0.811880i | \(0.698444\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.878080 | 0.0552044 | ||||||||
\(254\) | 9.95558 | − | 17.2436i | 0.624669 | − | 1.08196i | ||||
\(255\) | 3.36523 | + | 5.82875i | 0.210739 | + | 0.365011i | ||||
\(256\) | 5.91116 | + | 10.2384i | 0.369448 | + | 0.639902i | ||||
\(257\) | 8.33834 | − | 14.4424i | 0.520132 | − | 0.900894i | −0.479595 | − | 0.877490i | \(-0.659216\pi\) |
0.999726 | − | 0.0234040i | \(-0.00745042\pi\) | |||||||
\(258\) | −17.0444 | −1.06114 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 1.18070 | 0.0732238 | ||||||||
\(261\) | 0.188547 | − | 0.326573i | 0.0116708 | − | 0.0202143i | ||||
\(262\) | −7.46593 | − | 12.9314i | −0.461247 | − | 0.798903i | ||||
\(263\) | 6.73448 | + | 11.6645i | 0.415266 | + | 0.719261i | 0.995456 | − | 0.0952194i | \(-0.0303553\pi\) |
−0.580191 | + | 0.814481i | \(0.697022\pi\) | |||||||
\(264\) | 2.11256 | − | 3.65906i | 0.130019 | − | 0.225199i | ||||
\(265\) | −17.5878 | −1.08041 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −5.91750 | −0.362145 | ||||||||
\(268\) | 1.75116 | − | 3.03310i | 0.106969 | − | 0.185276i | ||||
\(269\) | −15.2789 | − | 26.4638i | −0.931571 | − | 1.61353i | −0.780638 | − | 0.624984i | \(-0.785106\pi\) |
−0.150933 | − | 0.988544i | \(-0.548228\pi\) | |||||||
\(270\) | 6.90180 | + | 11.9543i | 0.420030 | + | 0.727514i | ||||
\(271\) | 2.11256 | − | 3.65906i | 0.128329 | − | 0.222272i | −0.794700 | − | 0.607002i | \(-0.792372\pi\) |
0.923029 | + | 0.384730i | \(0.125705\pi\) | |||||||
\(272\) | −4.61791 | −0.280002 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 4.05244 | 0.244817 | ||||||||
\(275\) | −0.0444180 | + | 0.0769343i | −0.00267851 | + | 0.00463931i | ||||
\(276\) | −0.518374 | − | 0.897850i | −0.0312025 | − | 0.0540442i | ||||
\(277\) | 1.50000 | + | 2.59808i | 0.0901263 | + | 0.156103i | 0.907564 | − | 0.419914i | \(-0.137940\pi\) |
−0.817438 | + | 0.576017i | \(0.804606\pi\) | |||||||
\(278\) | 3.73296 | − | 6.46568i | 0.223888 | − | 0.387786i | ||||
\(279\) | −0.253201 | −0.0151587 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −6.27890 | −0.374568 | −0.187284 | − | 0.982306i | \(-0.559968\pi\) | ||||
−0.187284 | + | 0.982306i | \(0.559968\pi\) | |||||||
\(282\) | −9.23698 | + | 15.9989i | −0.550054 | + | 0.952722i | ||||
\(283\) | 11.7685 | + | 20.3837i | 0.699568 | + | 1.21169i | 0.968616 | + | 0.248560i | \(0.0799573\pi\) |
−0.269049 | + | 0.963127i | \(0.586709\pi\) | |||||||
\(284\) | 1.56413 | + | 2.70915i | 0.0928139 | + | 0.160758i | ||||
\(285\) | −8.33834 | + | 14.4424i | −0.493921 | + | 0.855496i | ||||
\(286\) | 0.955582 | 0.0565047 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −0.130227 | −0.00767373 | ||||||||
\(289\) | 6.97779 | − | 12.0859i | 0.410458 | − | 0.710935i | ||||
\(290\) | 11.3621 | + | 19.6797i | 0.667203 | + | 1.15563i | ||||
\(291\) | −0.0856687 | − | 0.148383i | −0.00502199 | − | 0.00869834i | ||||
\(292\) | −2.13878 | + | 3.70448i | −0.125163 | + | 0.216788i | ||||
\(293\) | −21.6166 | −1.26285 | −0.631427 | − | 0.775435i | \(-0.717530\pi\) | ||||
−0.631427 | + | 0.775435i | \(0.717530\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 24.2201 | 1.41015 | ||||||||
\(296\) | −3.49599 | + | 6.05523i | −0.203200 | + | 0.351953i | ||||
\(297\) | −2.03506 | − | 3.52482i | −0.118086 | − | 0.204531i | ||||
\(298\) | 11.4033 | + | 19.7511i | 0.660576 | + | 1.14415i | ||||
\(299\) | 0.556279 | − | 0.963504i | 0.0321705 | − | 0.0557209i | ||||
\(300\) | 0.104889 | 0.00605575 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −24.4452 | −1.40667 | ||||||||
\(303\) | 6.02122 | − | 10.4291i | 0.345910 | − | 0.599134i | ||||
\(304\) | −5.72110 | − | 9.90924i | −0.328128 | − | 0.568334i | ||||
\(305\) | 14.4452 | + | 25.0199i | 0.827132 | + | 1.43263i | ||||
\(306\) | 0.0469179 | − | 0.0812641i | 0.00268212 | − | 0.00464556i | ||||
\(307\) | 20.3945 | 1.16397 | 0.581987 | − | 0.813198i | \(-0.302275\pi\) | ||||
0.581987 | + | 0.813198i | \(0.302275\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 27.6072 | 1.57052 | ||||||||
\(310\) | 7.62910 | − | 13.2140i | 0.433304 | − | 0.750504i | ||||
\(311\) | 6.47462 | + | 11.2144i | 0.367142 | + | 0.635909i | 0.989117 | − | 0.147128i | \(-0.0470029\pi\) |
−0.621975 | + | 0.783037i | \(0.713670\pi\) | |||||||
\(312\) | −2.67669 | − | 4.63616i | −0.151537 | − | 0.262471i | ||||
\(313\) | −16.6172 | + | 28.7819i | −0.939262 | + | 1.62685i | −0.172410 | + | 0.985025i | \(0.555155\pi\) |
−0.766852 | + | 0.641824i | \(0.778178\pi\) | |||||||
\(314\) | 16.8066 | 0.948453 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 3.69105 | 0.207638 | ||||||||
\(317\) | 2.43587 | − | 4.21906i | 0.136812 | − | 0.236966i | −0.789476 | − | 0.613781i | \(-0.789648\pi\) |
0.926288 | + | 0.376816i | \(0.122981\pi\) | |||||||
\(318\) | 8.40332 | + | 14.5550i | 0.471235 | + | 0.816202i | ||||
\(319\) | −3.35020 | − | 5.80272i | −0.187575 | − | 0.324890i | ||||
\(320\) | 9.77488 | − | 16.9306i | 0.546433 | − | 0.946449i | ||||
\(321\) | −3.53104 | −0.197084 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −7.54343 | −0.419728 | ||||||||
\(324\) | −2.43837 | + | 4.22339i | −0.135465 | + | 0.234633i | ||||
\(325\) | 0.0562792 | + | 0.0974785i | 0.00312181 | + | 0.00540713i | ||||
\(326\) | 6.95558 | + | 12.0474i | 0.385234 | + | 0.667245i | ||||
\(327\) | 15.1338 | − | 26.2125i | 0.836900 | − | 1.44955i | ||||
\(328\) | −37.2358 | −2.05600 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −3.68605 | −0.202910 | ||||||||
\(331\) | −3.43587 | + | 5.95111i | −0.188853 | + | 0.327102i | −0.944868 | − | 0.327452i | \(-0.893810\pi\) |
0.756015 | + | 0.654554i | \(0.227144\pi\) | |||||||
\(332\) | −0.839189 | − | 1.45352i | −0.0460565 | − | 0.0797721i | ||||
\(333\) | −0.0506121 | − | 0.0876626i | −0.00277352 | − | 0.00480388i | ||||
\(334\) | 7.85172 | − | 13.5996i | 0.429627 | − | 0.744136i | ||||
\(335\) | −14.4977 | −0.792093 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 11.0712 | 0.603085 | 0.301542 | − | 0.953453i | \(-0.402499\pi\) | ||||
0.301542 | + | 0.953453i | \(0.402499\pi\) | |||||||
\(338\) | 0.605378 | − | 1.04855i | 0.0329282 | − | 0.0570333i | ||||
\(339\) | −8.88177 | − | 15.3837i | −0.482392 | − | 0.835527i | ||||
\(340\) | −1.03006 | − | 1.78411i | −0.0558627 | − | 0.0967570i | ||||
\(341\) | −2.24951 | + | 3.89626i | −0.121818 | + | 0.210994i | ||||
\(342\) | 0.232505 | 0.0125724 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 24.7542 | 1.33466 | ||||||||
\(345\) | −2.14578 | + | 3.71660i | −0.115525 | + | 0.200095i | ||||
\(346\) | −1.50151 | − | 2.60070i | −0.0807219 | − | 0.139814i | ||||
\(347\) | −2.81297 | − | 4.87220i | −0.151008 | − | 0.261553i | 0.780590 | − | 0.625043i | \(-0.214919\pi\) |
−0.931598 | + | 0.363490i | \(0.881585\pi\) | |||||||
\(348\) | −3.95558 | + | 6.85127i | −0.212041 | + | 0.367267i | ||||
\(349\) | −18.4783 | −0.989122 | −0.494561 | − | 0.869143i | \(-0.664671\pi\) | ||||
−0.494561 | + | 0.869143i | \(0.664671\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −5.15698 | −0.275259 | ||||||||
\(352\) | −1.15698 | + | 2.00394i | −0.0616671 | + | 0.106810i | ||||
\(353\) | 2.33518 | + | 4.04464i | 0.124289 | + | 0.215275i | 0.921455 | − | 0.388486i | \(-0.127002\pi\) |
−0.797166 | + | 0.603760i | \(0.793668\pi\) | |||||||
\(354\) | −11.5722 | − | 20.0436i | −0.615053 | − | 1.06530i | ||||
\(355\) | 6.47462 | − | 11.2144i | 0.343637 | − | 0.595197i | ||||
\(356\) | 1.81127 | 0.0959974 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 9.87611 | 0.521968 | ||||||||
\(359\) | 5.86055 | − | 10.1508i | 0.309308 | − | 0.535737i | −0.668903 | − | 0.743350i | \(-0.733236\pi\) |
0.978211 | + | 0.207612i | \(0.0665692\pi\) | |||||||
\(360\) | 0.150642 | + | 0.260919i | 0.00793952 | + | 0.0137516i | ||||
\(361\) | 0.154477 | + | 0.267561i | 0.00813035 | + | 0.0140822i | ||||
\(362\) | −2.18453 | + | 3.78372i | −0.114817 | + | 0.198868i | ||||
\(363\) | −18.1062 | −0.950330 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 17.7067 | 0.926813 | ||||||||
\(366\) | 13.8036 | − | 23.9085i | 0.721526 | − | 1.24972i | ||||
\(367\) | 9.98497 | + | 17.2945i | 0.521211 | + | 0.902764i | 0.999696 | + | 0.0246684i | \(0.00785298\pi\) |
−0.478484 | + | 0.878096i | \(0.658814\pi\) | |||||||
\(368\) | −1.47226 | − | 2.55004i | −0.0767471 | − | 0.132930i | ||||
\(369\) | 0.269535 | − | 0.466848i | 0.0140314 | − | 0.0243031i | ||||
\(370\) | 6.09989 | 0.317118 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 5.31198 | 0.275413 | ||||||||
\(373\) | 2.21326 | − | 3.83347i | 0.114598 | − | 0.198490i | −0.803021 | − | 0.595951i | \(-0.796775\pi\) |
0.917619 | + | 0.397461i | \(0.130109\pi\) | |||||||
\(374\) | −0.833662 | − | 1.44395i | −0.0431076 | − | 0.0746646i | ||||
\(375\) | −9.86055 | − | 17.0790i | −0.509197 | − | 0.881955i | ||||
\(376\) | 13.4152 | − | 23.2358i | 0.691835 | − | 1.19829i | ||||
\(377\) | −8.48965 | −0.437239 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −32.5702 | −1.67302 | −0.836509 | − | 0.547953i | \(-0.815407\pi\) | ||||
−0.836509 | + | 0.547953i | \(0.815407\pi\) | |||||||
\(380\) | 2.55227 | − | 4.42065i | 0.130928 | − | 0.226775i | ||||
\(381\) | −14.3470 | − | 24.8498i | −0.735021 | − | 1.27309i | ||||
\(382\) | 0.204421 | + | 0.354068i | 0.0104591 | + | 0.0181157i | ||||
\(383\) | 7.09820 | − | 12.2944i | 0.362701 | − | 0.628216i | −0.625703 | − | 0.780061i | \(-0.715188\pi\) |
0.988404 | + | 0.151845i | \(0.0485213\pi\) | |||||||
\(384\) | −8.45023 | −0.431224 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −10.1964 | −0.518983 | ||||||||
\(387\) | −0.179185 | + | 0.310358i | −0.00910851 | + | 0.0157764i | ||||
\(388\) | 0.0262222 | + | 0.0454181i | 0.00133123 | + | 0.00230576i | ||||
\(389\) | −8.65849 | − | 14.9969i | −0.439003 | − | 0.760375i | 0.558610 | − | 0.829430i | \(-0.311335\pi\) |
−0.997613 | + | 0.0690552i | \(0.978002\pi\) | |||||||
\(390\) | −2.33518 | + | 4.04464i | −0.118246 | + | 0.204808i | ||||
\(391\) | −1.94122 | −0.0981718 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −21.5184 | −1.08546 | ||||||||
\(394\) | −5.15198 | + | 8.92349i | −0.259553 | + | 0.449559i | ||||
\(395\) | −7.63945 | − | 13.2319i | −0.384382 | − | 0.665770i | ||||
\(396\) | −0.00936136 | − | 0.0162144i | −0.000470426 | − | 0.000814802i | ||||
\(397\) | 7.86207 | − | 13.6175i | 0.394586 | − | 0.683443i | −0.598462 | − | 0.801151i | \(-0.704221\pi\) |
0.993048 | + | 0.117708i | \(0.0375548\pi\) | |||||||
\(398\) | −17.6971 | −0.887075 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.297900 | 0.0148950 | ||||||||
\(401\) | −1.78924 | + | 3.09906i | −0.0893506 | + | 0.154760i | −0.907237 | − | 0.420620i | \(-0.861812\pi\) |
0.817886 | + | 0.575380i | \(0.195146\pi\) | |||||||
\(402\) | 6.92686 | + | 11.9977i | 0.345480 | + | 0.598390i | ||||
\(403\) | 2.85020 | + | 4.93670i | 0.141979 | + | 0.245914i | ||||
\(404\) | −1.84302 | + | 3.19221i | −0.0916938 | + | 0.158818i | ||||
\(405\) | 20.1870 | 1.00310 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.79861 | −0.0891536 | ||||||||
\(408\) | −4.67035 | + | 8.08929i | −0.231217 | + | 0.400479i | ||||
\(409\) | −15.6750 | − | 27.1500i | −0.775080 | − | 1.34248i | −0.934749 | − | 0.355308i | \(-0.884376\pi\) |
0.159669 | − | 0.987171i | \(-0.448957\pi\) | |||||||
\(410\) | 16.2425 | + | 28.1328i | 0.802160 | + | 1.38938i | ||||
\(411\) | 2.92000 | − | 5.05759i | 0.144033 | − | 0.249472i | ||||
\(412\) | −8.45023 | −0.416313 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0.0598327 | 0.00294062 | ||||||||
\(415\) | −3.47378 | + | 6.01676i | −0.170521 | + | 0.295351i | ||||
\(416\) | 1.46593 | + | 2.53906i | 0.0718731 | + | 0.124488i | ||||
\(417\) | −5.37959 | − | 9.31773i | −0.263440 | − | 0.456291i | ||||
\(418\) | 2.06564 | − | 3.57779i | 0.101034 | − | 0.174996i | ||||
\(419\) | 28.7716 | 1.40558 | 0.702792 | − | 0.711396i | \(-0.251937\pi\) | ||||
0.702792 | + | 0.711396i | \(0.251937\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.190060 | −0.00926297 | −0.00463148 | − | 0.999989i | \(-0.501474\pi\) | ||||
−0.00463148 | + | 0.999989i | \(0.501474\pi\) | |||||||
\(422\) | −14.4484 | + | 25.0254i | −0.703337 | + | 1.21822i | ||||
\(423\) | 0.194214 | + | 0.336389i | 0.00944301 | + | 0.0163558i | ||||
\(424\) | −12.2044 | − | 21.1387i | −0.592699 | − | 1.02658i | ||||
\(425\) | 0.0981974 | − | 0.170083i | 0.00476328 | − | 0.00825024i | ||||
\(426\) | −12.3741 | −0.599526 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 1.08081 | 0.0522429 | ||||||||
\(429\) | 0.688547 | − | 1.19260i | 0.0332434 | − | 0.0575792i | ||||
\(430\) | −10.7979 | − | 18.7026i | −0.520723 | − | 0.901918i | ||||
\(431\) | −12.8367 | − | 22.2338i | −0.618322 | − | 1.07096i | −0.989792 | − | 0.142520i | \(-0.954480\pi\) |
0.371470 | − | 0.928445i | \(-0.378854\pi\) | |||||||
\(432\) | −6.82430 | + | 11.8200i | −0.328334 | + | 0.568692i | ||||
\(433\) | −1.82233 | −0.0875755 | −0.0437877 | − | 0.999041i | \(-0.513943\pi\) | ||||
−0.0437877 | + | 0.999041i | \(0.513943\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 32.7479 | 1.57014 | ||||||||
\(436\) | −4.63227 | + | 8.02332i | −0.221845 | + | 0.384247i | ||||
\(437\) | −2.40497 | − | 4.16553i | −0.115045 | − | 0.199264i | ||||
\(438\) | −8.46012 | − | 14.6534i | −0.404240 | − | 0.700165i | ||||
\(439\) | 0.367732 | − | 0.636931i | 0.0175509 | − | 0.0303991i | −0.857117 | − | 0.515123i | \(-0.827746\pi\) |
0.874667 | + | 0.484723i | \(0.161080\pi\) | |||||||
\(440\) | 5.35337 | 0.255212 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −2.11256 | −0.100484 | ||||||||
\(443\) | 1.85587 | − | 3.21446i | 0.0881751 | − | 0.152724i | −0.818565 | − | 0.574414i | \(-0.805230\pi\) |
0.906740 | + | 0.421691i | \(0.138563\pi\) | |||||||
\(444\) | 1.06181 | + | 1.83910i | 0.0503911 | + | 0.0872799i | ||||
\(445\) | −3.74884 | − | 6.49318i | −0.177712 | − | 0.307806i | ||||
\(446\) | −0.774216 | + | 1.34098i | −0.0366602 | + | 0.0634973i | ||||
\(447\) | 32.8667 | 1.55454 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −5.17570 | −0.244256 | −0.122128 | − | 0.992514i | \(-0.538972\pi\) | ||||
−0.122128 | + | 0.992514i | \(0.538972\pi\) | |||||||
\(450\) | −0.00302666 | + | 0.00524233i | −0.000142678 | + | 0.000247126i | ||||
\(451\) | −4.78924 | − | 8.29521i | −0.225517 | − | 0.390606i | ||||
\(452\) | 2.71860 | + | 4.70876i | 0.127872 | + | 0.221481i | ||||
\(453\) | −17.6141 | + | 30.5085i | −0.827581 | + | 1.43341i | ||||
\(454\) | 11.5972 | 0.544284 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −23.1443 | −1.08383 | ||||||||
\(457\) | 17.0650 | − | 29.5574i | 0.798266 | − | 1.38264i | −0.122479 | − | 0.992471i | \(-0.539084\pi\) |
0.920745 | − | 0.390166i | \(-0.127582\pi\) | |||||||
\(458\) | 8.18070 | + | 14.1694i | 0.382259 | + | 0.662092i | ||||
\(459\) | 4.49901 | + | 7.79252i | 0.209996 | + | 0.363724i | ||||
\(460\) | 0.656798 | − | 1.13761i | 0.0306234 | − | 0.0530412i | ||||
\(461\) | 11.4008 | 0.530989 | 0.265494 | − | 0.964112i | \(-0.414465\pi\) | ||||
0.265494 | + | 0.964112i | \(0.414465\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −30.0124 | −1.39479 | −0.697397 | − | 0.716685i | \(-0.745659\pi\) | ||||
−0.697397 | + | 0.716685i | \(0.745659\pi\) | |||||||
\(464\) | −11.2345 | + | 19.4587i | −0.521548 | + | 0.903347i | ||||
\(465\) | −10.9943 | − | 19.0427i | −0.509850 | − | 0.883086i | ||||
\(466\) | 17.5309 | + | 30.3644i | 0.812103 | + | 1.40660i | ||||
\(467\) | 17.0832 | − | 29.5889i | 0.790515 | − | 1.36921i | −0.135134 | − | 0.990827i | \(-0.543146\pi\) |
0.925649 | − | 0.378384i | \(-0.123520\pi\) | |||||||
\(468\) | −0.0237224 | −0.00109657 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −23.4072 | −1.07969 | ||||||||
\(471\) | 12.1101 | − | 20.9752i | 0.558002 | − | 0.966488i | ||||
\(472\) | 16.8066 | + | 29.1099i | 0.773588 | + | 1.33989i | ||||
\(473\) | 3.18387 | + | 5.51462i | 0.146394 | + | 0.253562i | ||||
\(474\) | −7.30012 | + | 12.6442i | −0.335306 | + | 0.580766i | ||||
\(475\) | 0.486625 | 0.0223279 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0.353371 | 0.0161798 | ||||||||
\(478\) | −14.6116 | + | 25.3080i | −0.668318 | + | 1.15756i | ||||
\(479\) | −6.43805 | − | 11.1510i | −0.294162 | − | 0.509504i | 0.680627 | − | 0.732630i | \(-0.261707\pi\) |
−0.974790 | + | 0.223126i | \(0.928374\pi\) | |||||||
\(480\) | −5.65465 | − | 9.79415i | −0.258099 | − | 0.447040i | ||||
\(481\) | −1.13945 | + | 1.97358i | −0.0519544 | + | 0.0899876i | ||||
\(482\) | −12.0174 | −0.547377 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 5.54210 | 0.251913 | ||||||||
\(485\) | 0.108545 | − | 0.188006i | 0.00492879 | − | 0.00853691i | ||||
\(486\) | −0.279423 | − | 0.483975i | −0.0126749 | − | 0.0219536i | ||||
\(487\) | 10.9699 | + | 19.0005i | 0.497096 | + | 0.860995i | 0.999994 | − | 0.00335051i | \(-0.00106650\pi\) |
−0.502899 | + | 0.864345i | \(0.667733\pi\) | |||||||
\(488\) | −20.0474 | + | 34.7232i | −0.907505 | + | 1.57185i | ||||
\(489\) | 20.0474 | 0.906577 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 4.11256 | 0.185597 | 0.0927986 | − | 0.995685i | \(-0.470419\pi\) | ||||
0.0927986 | + | 0.995685i | \(0.470419\pi\) | |||||||
\(492\) | −5.65465 | + | 9.79415i | −0.254932 | + | 0.441554i | ||||
\(493\) | 7.40648 | + | 12.8284i | 0.333571 | + | 0.577762i | ||||
\(494\) | −2.61724 | − | 4.53319i | −0.117755 | − | 0.203958i | ||||
\(495\) | −0.0387509 | + | 0.0671185i | −0.00174172 | + | 0.00301675i | ||||
\(496\) | 15.0869 | 0.677420 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 6.63896 | 0.297499 | ||||||||
\(499\) | −9.51654 | + | 16.4831i | −0.426019 | + | 0.737886i | −0.996515 | − | 0.0834139i | \(-0.973418\pi\) |
0.570496 | + | 0.821300i | \(0.306751\pi\) | |||||||
\(500\) | 3.01820 | + | 5.22767i | 0.134978 | + | 0.233788i | ||||
\(501\) | −11.3151 | − | 19.5984i | −0.505524 | − | 0.875592i | ||||
\(502\) | −11.1989 | + | 19.3971i | −0.499831 | + | 0.865733i | ||||
\(503\) | 35.8698 | 1.59935 | 0.799677 | − | 0.600430i | \(-0.205004\pi\) | ||||
0.799677 | + | 0.600430i | \(0.205004\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 15.2582 | 0.678981 | ||||||||
\(506\) | 0.531570 | − | 0.920707i | 0.0236312 | − | 0.0409304i | ||||
\(507\) | −0.872413 | − | 1.51106i | −0.0387452 | − | 0.0671087i | ||||
\(508\) | 4.39145 | + | 7.60622i | 0.194839 | + | 0.337472i | ||||
\(509\) | 8.77323 | − | 15.1957i | 0.388867 | − | 0.673537i | −0.603431 | − | 0.797415i | \(-0.706200\pi\) |
0.992297 | + | 0.123879i | \(0.0395334\pi\) | |||||||
\(510\) | 8.14895 | 0.360842 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 24.0000 | 1.06066 | ||||||||
\(513\) | −11.1476 | + | 19.3082i | −0.492179 | + | 0.852479i | ||||
\(514\) | −10.0957 | − | 17.4863i | −0.445302 | − | 0.771286i | ||||
\(515\) | 17.4897 | + | 30.2930i | 0.770686 | + | 1.33487i | ||||
\(516\) | 3.75919 | − | 6.51110i | 0.165489 | − | 0.286635i | ||||
\(517\) | 6.90180 | 0.303541 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −4.32768 | −0.189964 | ||||||||
\(520\) | 3.39145 | − | 5.87417i | 0.148725 | − | 0.257599i | ||||
\(521\) | −4.42151 | − | 7.65828i | −0.193710 | − | 0.335515i | 0.752767 | − | 0.658287i | \(-0.228719\pi\) |
−0.946477 | + | 0.322772i | \(0.895385\pi\) | |||||||
\(522\) | −0.228284 | − | 0.395400i | −0.00999173 | − | 0.0173062i | ||||
\(523\) | 10.9556 | − | 18.9756i | 0.479054 | − | 0.829746i | −0.520657 | − | 0.853766i | \(-0.674313\pi\) |
0.999711 | + | 0.0240196i | \(0.00764641\pi\) | |||||||
\(524\) | 6.58651 | 0.287733 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 16.3076 | 0.711046 | ||||||||
\(527\) | 4.97311 | − | 8.61368i | 0.216632 | − | 0.375218i | ||||
\(528\) | −1.82233 | − | 3.15636i | −0.0793066 | − | 0.137363i | ||||
\(529\) | 10.8811 | + | 18.8466i | 0.473092 | + | 0.819419i | ||||
\(530\) | −10.6473 | + | 18.4417i | −0.462489 | + | 0.801054i | ||||
\(531\) | −0.486625 | −0.0211177 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −12.1363 | −0.525681 | ||||||||
\(534\) | −3.58232 | + | 6.20477i | −0.155022 | + | 0.268506i | ||||
\(535\) | −2.23698 | − | 3.87456i | −0.0967130 | − | 0.167512i | ||||
\(536\) | −10.0601 | − | 17.4246i | −0.434531 | − | 0.752629i | ||||
\(537\) | 7.11625 | − | 12.3257i | 0.307089 | − | 0.531894i | ||||
\(538\) | −36.9980 | −1.59510 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −6.08884 | −0.262022 | ||||||||
\(541\) | −11.4327 | + | 19.8020i | −0.491530 | + | 0.851356i | −0.999952 | − | 0.00975240i | \(-0.996896\pi\) |
0.508422 | + | 0.861108i | \(0.330229\pi\) | |||||||
\(542\) | −2.55779 | − | 4.43023i | −0.109867 | − | 0.190295i | ||||
\(543\) | 3.14814 | + | 5.45274i | 0.135100 | + | 0.234000i | ||||
\(544\) | 2.55779 | − | 4.43023i | 0.109664 | − | 0.189944i | ||||
\(545\) | 38.3501 | 1.64274 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −35.2676 | −1.50793 | −0.753966 | − | 0.656913i | \(-0.771862\pi\) | ||||
−0.753966 | + | 0.656913i | \(0.771862\pi\) | |||||||
\(548\) | −0.893776 | + | 1.54807i | −0.0381802 | + | 0.0661301i | ||||
\(549\) | −0.290231 | − | 0.502694i | −0.0123867 | − | 0.0214545i | ||||
\(550\) | 0.0537794 | + | 0.0931487i | 0.00229316 | + | 0.00397187i | ||||
\(551\) | −18.3517 | + | 31.7861i | −0.781809 | + | 1.35413i | ||||
\(552\) | −5.95594 | −0.253502 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 3.63227 | 0.154320 | ||||||||
\(555\) | 4.39529 | − | 7.61286i | 0.186570 | − | 0.323148i | ||||
\(556\) | 1.64663 | + | 2.85204i | 0.0698326 | + | 0.120954i | ||||
\(557\) | −19.9349 | − | 34.5282i | −0.844668 | − | 1.46301i | −0.885909 | − | 0.463859i | \(-0.846464\pi\) |
0.0412408 | − | 0.999149i | \(-0.486869\pi\) | |||||||
\(558\) | −0.153282 | + | 0.265493i | −0.00648896 | + | 0.0112392i | ||||
\(559\) | 8.06814 | 0.341246 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −2.40279 | −0.101446 | ||||||||
\(562\) | −3.80111 | + | 6.58371i | −0.160340 | + | 0.277717i | ||||
\(563\) | 12.7986 | + | 22.1678i | 0.539397 | + | 0.934263i | 0.998937 | + | 0.0461056i | \(0.0146811\pi\) |
−0.459540 | + | 0.888157i | \(0.651986\pi\) | |||||||
\(564\) | −4.07448 | − | 7.05720i | −0.171566 | − | 0.297162i | ||||
\(565\) | 11.2535 | − | 19.4917i | 0.473439 | − | 0.820021i | ||||
\(566\) | 28.4977 | 1.19785 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 17.9713 | 0.754058 | ||||||||
\(569\) | 12.5474 | − | 21.7328i | 0.526016 | − | 0.911087i | −0.473524 | − | 0.880781i | \(-0.657018\pi\) |
0.999541 | − | 0.0303062i | \(-0.00964823\pi\) | |||||||
\(570\) | 10.0957 | + | 17.4863i | 0.422862 | + | 0.732419i | ||||
\(571\) | 15.6244 | + | 27.0623i | 0.653862 | + | 1.13252i | 0.982178 | + | 0.187954i | \(0.0601855\pi\) |
−0.328316 | + | 0.944568i | \(0.606481\pi\) | |||||||
\(572\) | −0.210756 | + | 0.365040i | −0.00881215 | + | 0.0152631i | ||||
\(573\) | 0.589185 | 0.0246135 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.125228 | 0.00522236 | ||||||||
\(576\) | −0.196395 | + | 0.340166i | −0.00818312 | + | 0.0141736i | ||||
\(577\) | −6.43587 | − | 11.1473i | −0.267929 | − | 0.464066i | 0.700398 | − | 0.713753i | \(-0.253006\pi\) |
−0.968327 | + | 0.249686i | \(0.919673\pi\) | |||||||
\(578\) | −8.44840 | − | 14.6331i | −0.351407 | − | 0.608655i | ||||
\(579\) | −7.34704 | + | 12.7254i | −0.305332 | + | 0.528851i | ||||
\(580\) | −10.0237 | −0.416212 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −0.207448 | −0.00859899 | ||||||||
\(583\) | 3.13945 | − | 5.43768i | 0.130023 | − | 0.225206i | ||||
\(584\) | 12.2869 | + | 21.2816i | 0.508436 | + | 0.880638i | ||||
\(585\) | 0.0490987 | + | 0.0850415i | 0.00202998 | + | 0.00351603i | ||||
\(586\) | −13.0862 | + | 22.6660i | −0.540586 | + | 0.936322i | ||||
\(587\) | −9.96692 | −0.411379 | −0.205689 | − | 0.978617i | \(-0.565944\pi\) | ||||
−0.205689 | + | 0.978617i | \(0.565944\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 24.6447 | 1.01547 | ||||||||
\(590\) | 14.6623 | − | 25.3959i | 0.603638 | − | 1.04553i | ||||
\(591\) | 7.42454 | + | 12.8597i | 0.305405 | + | 0.528976i | ||||
\(592\) | 3.01570 | + | 5.22334i | 0.123944 | + | 0.214678i | ||||
\(593\) | −10.2954 | + | 17.8322i | −0.422783 | + | 0.732282i | −0.996211 | − | 0.0869747i | \(-0.972280\pi\) |
0.573428 | + | 0.819256i | \(0.305613\pi\) | |||||||
\(594\) | −4.92791 | −0.202195 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −10.0601 | −0.412078 | ||||||||
\(597\) | −12.7517 | + | 22.0866i | −0.521892 | + | 0.903943i | ||||
\(598\) | −0.673518 | − | 1.16657i | −0.0275422 | − | 0.0477045i | ||||
\(599\) | 6.26855 | + | 10.8574i | 0.256126 | + | 0.443623i | 0.965201 | − | 0.261510i | \(-0.0842205\pi\) |
−0.709075 | + | 0.705133i | \(0.750887\pi\) | |||||||
\(600\) | 0.301284 | − | 0.521838i | 0.0122998 | − | 0.0213040i | ||||
\(601\) | −1.82233 | −0.0743343 | −0.0371672 | − | 0.999309i | \(-0.511833\pi\) | ||||
−0.0371672 | + | 0.999309i | \(0.511833\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0.291284 | 0.0118620 | ||||||||
\(604\) | 5.39145 | − | 9.33827i | 0.219375 | − | 0.379969i | ||||
\(605\) | −11.4706 | − | 19.8677i | −0.466347 | − | 0.807736i | ||||
\(606\) | −7.29023 | − | 12.6270i | −0.296145 | − | 0.512939i | ||||
\(607\) | −15.4890 | + | 26.8277i | −0.628678 | + | 1.08890i | 0.359139 | + | 0.933284i | \(0.383071\pi\) |
−0.987817 | + | 0.155619i | \(0.950263\pi\) | |||||||
\(608\) | 12.6754 | 0.514053 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 34.9793 | 1.41627 | ||||||||
\(611\) | 4.37241 | − | 7.57324i | 0.176889 | − | 0.306381i | ||||
\(612\) | 0.0206957 | + | 0.0358460i | 0.000836574 | + | 0.00144899i | ||||
\(613\) | −6.22512 | − | 10.7822i | −0.251430 | − | 0.435490i | 0.712490 | − | 0.701683i | \(-0.247568\pi\) |
−0.963920 | + | 0.266193i | \(0.914234\pi\) | |||||||
\(614\) | 12.3464 | − | 21.3845i | 0.498259 | − | 0.863010i | ||||
\(615\) | 46.8143 | 1.88773 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 31.7809 | 1.27945 | 0.639726 | − | 0.768603i | \(-0.279048\pi\) | ||||
0.639726 | + | 0.768603i | \(0.279048\pi\) | |||||||
\(618\) | 16.7128 | − | 28.9474i | 0.672287 | − | 1.16444i | ||||
\(619\) | −2.11256 | − | 3.65906i | −0.0849109 | − | 0.147070i | 0.820442 | − | 0.571729i | \(-0.193727\pi\) |
−0.905353 | + | 0.424659i | \(0.860394\pi\) | |||||||
\(620\) | 3.36523 | + | 5.82875i | 0.135151 | + | 0.234088i | ||||
\(621\) | −2.86872 | + | 4.96877i | −0.115118 | + | 0.199390i | ||||
\(622\) | 15.6784 | 0.628646 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −4.61791 | −0.184864 | ||||||||
\(625\) | 12.2123 | − | 21.1523i | 0.488491 | − | 0.846091i | ||||
\(626\) | 20.1194 | + | 34.8479i | 0.804134 | + | 1.39280i | ||||
\(627\) | −2.97680 | − | 5.15598i | −0.118882 | − | 0.205910i | ||||
\(628\) | −3.70674 | + | 6.42027i | −0.147915 | + | 0.256197i | ||||
\(629\) | 3.97628 | 0.158545 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 7.31198 | 0.291085 | 0.145543 | − | 0.989352i | \(-0.453507\pi\) | ||||
0.145543 | + | 0.989352i | \(0.453507\pi\) | |||||||
\(632\) | 10.6022 | − | 18.3636i | 0.421733 | − | 0.730463i | ||||
\(633\) | 20.8217 | + | 36.0642i | 0.827587 | + | 1.43342i | ||||
\(634\) | −2.94925 | − | 5.10825i | −0.117130 | − | 0.202874i | ||||
\(635\) | 18.1782 | − | 31.4856i | 0.721380 | − | 1.24947i | ||||
\(636\) | −7.41349 | −0.293964 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −8.11256 | −0.321179 | ||||||||
\(639\) | −0.130087 | + | 0.225317i | −0.00514615 | + | 0.00891340i | ||||
\(640\) | −5.35337 | − | 9.27231i | −0.211611 | − | 0.366520i | ||||
\(641\) | 11.5237 | + | 19.9597i | 0.455160 | + | 0.788360i | 0.998697 | − | 0.0510251i | \(-0.0162488\pi\) |
−0.543538 | + | 0.839385i | \(0.682916\pi\) | |||||||
\(642\) | −2.13762 | + | 3.70246i | −0.0843650 | + | 0.146124i | ||||
\(643\) | −48.9379 | −1.92992 | −0.964961 | − | 0.262392i | \(-0.915489\pi\) | ||||
−0.964961 | + | 0.262392i | \(0.915489\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −31.1219 | −1.22542 | ||||||||
\(646\) | −4.56663 | + | 7.90963i | −0.179672 | + | 0.311200i | ||||
\(647\) | 16.7154 | + | 28.9520i | 0.657152 | + | 1.13822i | 0.981350 | + | 0.192231i | \(0.0615722\pi\) |
−0.324198 | + | 0.945989i | \(0.605094\pi\) | |||||||
\(648\) | 14.0080 | + | 24.2626i | 0.550287 | + | 0.953125i | ||||
\(649\) | −4.32331 | + | 7.48820i | −0.169705 | + | 0.293938i | ||||
\(650\) | 0.136281 | 0.00534537 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −6.13628 | −0.240315 | ||||||||
\(653\) | 5.23145 | − | 9.06114i | 0.204723 | − | 0.354590i | −0.745322 | − | 0.666705i | \(-0.767704\pi\) |
0.950044 | + | 0.312115i | \(0.101037\pi\) | |||||||
\(654\) | −18.3233 | − | 31.7369i | −0.716498 | − | 1.24101i | ||||
\(655\) | −13.6323 | − | 23.6118i | −0.532657 | − | 0.922589i | ||||
\(656\) | −16.0601 | + | 27.8169i | −0.627042 | + | 1.08607i | ||||
\(657\) | −0.355760 | −0.0138795 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −8.73849 | −0.340403 | −0.170202 | − | 0.985409i | \(-0.554442\pi\) | ||||
−0.170202 | + | 0.985409i | \(0.554442\pi\) | |||||||
\(660\) | 0.812966 | − | 1.40810i | 0.0316447 | − | 0.0548102i | ||||
\(661\) | 2.30677 | + | 3.99545i | 0.0897230 | + | 0.155405i | 0.907394 | − | 0.420281i | \(-0.138068\pi\) |
−0.817671 | + | 0.575686i | \(0.804735\pi\) | |||||||
\(662\) | 4.16000 | + | 7.20534i | 0.161683 | + | 0.280043i | ||||
\(663\) | −1.52221 | + | 2.63654i | −0.0591177 | + | 0.102395i | ||||
\(664\) | −9.64199 | −0.374182 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −0.122558 | −0.00474901 | ||||||||
\(667\) | −4.72262 | + | 8.17981i | −0.182860 | + | 0.316724i | ||||
\(668\) | 3.46343 | + | 5.99884i | 0.134004 | + | 0.232102i | ||||
\(669\) | 1.11573 | + | 1.93249i | 0.0431365 | + | 0.0747145i | ||||
\(670\) | −8.77657 | + | 15.2015i | −0.339069 | + | 0.587284i | ||||
\(671\) | −10.3140 | −0.398166 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 9.83802 | 0.379228 | 0.189614 | − | 0.981859i | \(-0.439276\pi\) | ||||
0.189614 | + | 0.981859i | \(0.439276\pi\) | |||||||
\(674\) | 6.70224 | − | 11.6086i | 0.258161 | − | 0.447147i | ||||
\(675\) | −0.290231 | − | 0.502694i | −0.0111710 | − | 0.0193487i | ||||
\(676\) | 0.267035 | + | 0.462518i | 0.0102706 | + | 0.0177892i | ||||
\(677\) | −2.34770 | + | 4.06634i | −0.0902296 | + | 0.156282i | −0.907608 | − | 0.419819i | \(-0.862093\pi\) |
0.817378 | + | 0.576102i | \(0.195427\pi\) | |||||||
\(678\) | −21.5073 | −0.825984 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −11.8350 | −0.453851 | ||||||||
\(681\) | 8.35640 | − | 14.4737i | 0.320218 | − | 0.554634i | ||||
\(682\) | 2.72360 | + | 4.71742i | 0.104292 | + | 0.180639i | ||||
\(683\) | −5.51035 | − | 9.54420i | −0.210848 | − | 0.365199i | 0.741132 | − | 0.671359i | \(-0.234289\pi\) |
−0.951980 | + | 0.306160i | \(0.900956\pi\) | |||||||
\(684\) | −0.0512796 | + | 0.0888189i | −0.00196072 | + | 0.00339607i | ||||
\(685\) | 7.39948 | 0.282720 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 23.5785 | 0.899575 | ||||||||
\(688\) | 10.6767 | − | 18.4926i | 0.407045 | − | 0.705022i | ||||
\(689\) | −3.97779 | − | 6.88974i | −0.151542 | − | 0.262478i | ||||
\(690\) | 2.59802 | + | 4.49990i | 0.0989049 | + | 0.171308i | ||||
\(691\) | 19.3818 | − | 33.5702i | 0.737317 | − | 1.27707i | −0.216382 | − | 0.976309i | \(-0.569426\pi\) |
0.953699 | − | 0.300762i | \(-0.0972411\pi\) | |||||||
\(692\) | 1.32465 | 0.0503556 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −6.81163 | −0.258566 | ||||||||
\(695\) | 6.81613 | − | 11.8059i | 0.258551 | − | 0.447823i | ||||
\(696\) | 22.7241 | + | 39.3593i | 0.861356 | + | 1.49191i | ||||
\(697\) | 10.5878 | + | 18.3387i | 0.401043 | + | 0.694628i | ||||
\(698\) | −11.1864 | + | 19.3754i | −0.423410 | + | 0.733368i | ||||
\(699\) | 50.5277 | 1.91113 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −32.0681 | −1.21120 | −0.605598 | − | 0.795770i | \(-0.707066\pi\) | ||||
−0.605598 | + | 0.795770i | \(0.707066\pi\) | |||||||
\(702\) | −3.12192 | + | 5.40732i | −0.117829 | + | 0.204086i | ||||
\(703\) | 4.92619 | + | 8.53242i | 0.185795 | + | 0.321806i | ||||
\(704\) | 3.48965 | + | 6.04425i | 0.131521 | + | 0.227801i | ||||
\(705\) | −16.8661 | + | 29.2129i | −0.635213 | + | 1.10022i | ||||
\(706\) | 5.65465 | 0.212816 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 10.2091 | 0.383680 | ||||||||
\(709\) | −19.1725 | + | 33.2078i | −0.720040 | + | 1.24715i | 0.240944 | + | 0.970539i | \(0.422543\pi\) |
−0.960983 | + | 0.276606i | \(0.910790\pi\) | |||||||
\(710\) | −7.83919 | − | 13.5779i | −0.294200 | − | 0.509568i | ||||
\(711\) | 0.153490 | + | 0.265853i | 0.00575633 | + | 0.00997026i | ||||
\(712\) | 5.20273 | − | 9.01139i | 0.194981 | − | 0.337716i | ||||
\(713\) | 6.34204 | 0.237511 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.74483 | 0.0652528 | ||||||||
\(716\) | −2.17820 | + | 3.77275i | −0.0814031 | + | 0.140994i | ||||
\(717\) | 21.0568 | + | 36.4715i | 0.786381 | + | 1.36205i | ||||
\(718\) | −7.09570 | − | 12.2901i | −0.264809 | − | 0.458663i | ||||
\(719\) | 4.36207 | − | 7.55532i | 0.162678 | − | 0.281766i | −0.773151 | − | 0.634223i | \(-0.781320\pi\) |
0.935828 | + | 0.352457i | \(0.114654\pi\) | |||||||
\(720\) | 0.259892 | 0.00968561 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0.374067 | 0.0139213 | ||||||||
\(723\) | −8.65916 | + | 14.9981i | −0.322038 | + | 0.557785i | ||||
\(724\) | −0.963608 | − | 1.66902i | −0.0358122 | − | 0.0620286i | ||||
\(725\) | −0.477791 | − | 0.827558i | −0.0177447 | − | 0.0307347i | ||||
\(726\) | −10.9611 | + | 18.9852i | −0.406805 | + | 0.704607i | ||||
\(727\) | 26.6754 | 0.989334 | 0.494667 | − | 0.869083i | \(-0.335290\pi\) | ||||
0.494667 | + | 0.869083i | \(0.335290\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 26.5885 | 0.984759 | ||||||||
\(730\) | 10.7193 | − | 18.5663i | 0.396738 | − | 0.687170i | ||||
\(731\) | −7.03875 | − | 12.1915i | −0.260338 | − | 0.450918i | ||||
\(732\) | 6.08884 | + | 10.5462i | 0.225050 | + | 0.389798i | ||||
\(733\) | −13.3606 | + | 23.1412i | −0.493483 | + | 0.854738i | −0.999972 | − | 0.00750863i | \(-0.997610\pi\) |
0.506489 | + | 0.862247i | \(0.330943\pi\) | |||||||
\(734\) | 24.1787 | 0.892453 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 3.26187 | 0.120234 | ||||||||
\(737\) | 2.58785 | − | 4.48229i | 0.0953247 | − | 0.165107i | ||||
\(738\) | −0.326341 | − | 0.565239i | −0.0120128 | − | 0.0208067i | ||||
\(739\) | −18.0269 | − | 31.2235i | −0.663130 | − | 1.14857i | −0.979789 | − | 0.200035i | \(-0.935894\pi\) |
0.316659 | − | 0.948539i | \(-0.397439\pi\) | |||||||
\(740\) | −1.34535 | + | 2.33021i | −0.0494559 | + | 0.0856601i | ||||
\(741\) | −7.54343 | −0.277115 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −2.96058 | −0.108613 | −0.0543066 | − | 0.998524i | \(-0.517295\pi\) | ||||
−0.0543066 | + | 0.998524i | \(0.517295\pi\) | |||||||
\(744\) | 15.2582 | − | 26.4280i | 0.559393 | − | 0.968897i | ||||
\(745\) | 20.8217 | + | 36.0642i | 0.762847 | + | 1.32129i | ||||
\(746\) | −2.67971 | − | 4.64140i | −0.0981112 | − | 0.169934i | ||||
\(747\) | 0.0697944 | − | 0.120887i | 0.00255364 | − | 0.00442304i | ||||
\(748\) | 0.735465 | 0.0268913 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −23.8774 | −0.871881 | ||||||||
\(751\) | −21.5775 | + | 37.3733i | −0.787374 | + | 1.36377i | 0.140196 | + | 0.990124i | \(0.455227\pi\) |
−0.927570 | + | 0.373648i | \(0.878107\pi\) | |||||||
\(752\) | −11.5722 | − | 20.0436i | −0.421993 | − | 0.730913i | ||||
\(753\) | 16.1388 | + | 27.9532i | 0.588130 | + | 1.01867i | ||||
\(754\) | −5.13945 | + | 8.90179i | −0.187168 | + | 0.324184i | ||||
\(755\) | −44.6353 | −1.62444 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 18.7335 | 0.680880 | 0.340440 | − | 0.940266i | \(-0.389424\pi\) | ||||
0.340440 | + | 0.940266i | \(0.389424\pi\) | |||||||
\(758\) | −19.7173 | + | 34.1513i | −0.716163 | + | 1.24043i | ||||
\(759\) | −0.766049 | − | 1.32684i | −0.0278058 | − | 0.0481611i | ||||
\(760\) | −14.6623 | − | 25.3959i | −0.531858 | − | 0.921206i | ||||
\(761\) | 2.11474 | − | 3.66284i | 0.0766592 | − | 0.132778i | −0.825147 | − | 0.564918i | \(-0.808908\pi\) |
0.901807 | + | 0.432140i | \(0.142241\pi\) | |||||||
\(762\) | −34.7415 | −1.25855 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −0.180342 | −0.00652456 | ||||||||
\(765\) | 0.0856687 | − | 0.148383i | 0.00309736 | − | 0.00536478i | ||||
\(766\) | −8.59418 | − | 14.8856i | −0.310521 | − | 0.537837i | ||||
\(767\) | 5.47779 | + | 9.48781i | 0.197792 | + | 0.342585i | ||||
\(768\) | 10.3140 | − | 17.8643i | 0.372173 | − | 0.644622i | ||||
\(769\) | −21.1299 | −0.761965 | −0.380983 | − | 0.924582i | \(-0.624414\pi\) | ||||
−0.380983 | + | 0.924582i | \(0.624414\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −29.0979 | −1.04794 | ||||||||
\(772\) | 2.24884 | − | 3.89510i | 0.0809375 | − | 0.140188i | ||||
\(773\) | −16.5371 | − | 28.6431i | −0.594798 | − | 1.03022i | −0.993575 | − | 0.113173i | \(-0.963899\pi\) |
0.398777 | − | 0.917048i | \(-0.369435\pi\) | |||||||
\(774\) | 0.216950 | + | 0.375768i | 0.00779810 | + | 0.0135067i | ||||
\(775\) | −0.320815 | + | 0.555667i |