Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(408,845)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(845, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([3, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.408");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.f (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.74735897080\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(10\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} + 26 x^{18} + 279 x^{16} + 1604 x^{14} + 5353 x^{12} + 10466 x^{10} + 11441 x^{8} + 6176 x^{6} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | no (minimal twist has level 65) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 408.1 | ||
Root | \(-2.64975i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 845.408 |
Dual form | 845.2.f.e.437.10 |
$q$-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 \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 2.64975i | − | 1.87366i | −0.349786 | − | 0.936830i | \(-0.613746\pi\) | ||
0.349786 | − | 0.936830i | \(-0.386254\pi\) | |||||||
\(3\) | 0.917096 | + | 0.917096i | 0.529486 | + | 0.529486i | 0.920419 | − | 0.390933i | \(-0.127848\pi\) |
−0.390933 | + | 0.920419i | \(0.627848\pi\) | |||||||
\(4\) | −5.02120 | −2.51060 | ||||||||
\(5\) | 1.81654 | + | 1.30391i | 0.812382 | + | 0.583126i | ||||
\(6\) | 2.43008 | − | 2.43008i | 0.992076 | − | 0.992076i | ||||
\(7\) | −0.112348 | −0.0424635 | −0.0212318 | − | 0.999775i | \(-0.506759\pi\) | ||||
−0.0212318 | + | 0.999775i | \(0.506759\pi\) | |||||||
\(8\) | 8.00544i | 2.83035i | ||||||||
\(9\) | − | 1.31787i | − | 0.439290i | ||||||
\(10\) | 3.45504 | − | 4.81339i | 1.09258 | − | 1.52213i | ||||
\(11\) | 1.31019 | + | 1.31019i | 0.395038 | + | 0.395038i | 0.876479 | − | 0.481441i | \(-0.159886\pi\) |
−0.481441 | + | 0.876479i | \(0.659886\pi\) | |||||||
\(12\) | −4.60492 | − | 4.60492i | −1.32933 | − | 1.32933i | ||||
\(13\) | 0 | 0 | ||||||||
\(14\) | 0.297695i | 0.0795622i | ||||||||
\(15\) | 0.470132 | + | 2.86175i | 0.121388 | + | 0.738901i | ||||
\(16\) | 11.1700 | 2.79251 | ||||||||
\(17\) | 1.93019 | + | 1.93019i | 0.468140 | + | 0.468140i | 0.901312 | − | 0.433171i | \(-0.142605\pi\) |
−0.433171 | + | 0.901312i | \(0.642605\pi\) | |||||||
\(18\) | −3.49203 | −0.823080 | ||||||||
\(19\) | 4.92146 | + | 4.92146i | 1.12906 | + | 1.12906i | 0.990330 | + | 0.138731i | \(0.0443022\pi\) |
0.138731 | + | 0.990330i | \(0.455698\pi\) | |||||||
\(20\) | −9.12121 | − | 6.54719i | −2.03957 | − | 1.46400i | ||||
\(21\) | −0.103034 | − | 0.103034i | −0.0224838 | − | 0.0224838i | ||||
\(22\) | 3.47169 | − | 3.47169i | 0.740166 | − | 0.740166i | ||||
\(23\) | 2.27175 | − | 2.27175i | 0.473693 | − | 0.473693i | −0.429414 | − | 0.903108i | \(-0.641280\pi\) |
0.903108 | + | 0.429414i | \(0.141280\pi\) | |||||||
\(24\) | −7.34175 | + | 7.34175i | −1.49863 | + | 1.49863i | ||||
\(25\) | 1.59964 | + | 4.73721i | 0.319928 | + | 0.947442i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 3.95990 | − | 3.95990i | 0.762083 | − | 0.762083i | ||||
\(28\) | 0.564122 | 0.106609 | ||||||||
\(29\) | − | 4.65499i | − | 0.864410i | −0.901775 | − | 0.432205i | \(-0.857736\pi\) | ||
0.901775 | − | 0.432205i | \(-0.142264\pi\) | |||||||
\(30\) | 7.58294 | − | 1.24574i | 1.38445 | − | 0.227439i | ||||
\(31\) | −0.624367 | + | 0.624367i | −0.112140 | + | 0.112140i | −0.760950 | − | 0.648810i | \(-0.775267\pi\) |
0.648810 | + | 0.760950i | \(0.275267\pi\) | |||||||
\(32\) | − | 13.5870i | − | 2.40186i | ||||||
\(33\) | 2.40314i | 0.418334i | ||||||||
\(34\) | 5.11454 | − | 5.11454i | 0.877136 | − | 0.877136i | ||||
\(35\) | −0.204085 | − | 0.146492i | −0.0344966 | − | 0.0247616i | ||||
\(36\) | 6.61729i | 1.10288i | ||||||||
\(37\) | 1.47487 | 0.242467 | 0.121234 | − | 0.992624i | \(-0.461315\pi\) | ||||
0.121234 | + | 0.992624i | \(0.461315\pi\) | |||||||
\(38\) | 13.0407 | − | 13.0407i | 2.11548 | − | 2.11548i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −10.4384 | + | 14.5422i | −1.65045 | + | 2.29932i | ||||
\(41\) | 3.83645 | − | 3.83645i | 0.599153 | − | 0.599153i | −0.340934 | − | 0.940087i | \(-0.610743\pi\) |
0.940087 | + | 0.340934i | \(0.110743\pi\) | |||||||
\(42\) | −0.273014 | + | 0.273014i | −0.0421270 | + | 0.0421270i | ||||
\(43\) | 2.75555 | − | 2.75555i | 0.420217 | − | 0.420217i | −0.465062 | − | 0.885278i | \(-0.653968\pi\) |
0.885278 | + | 0.465062i | \(0.153968\pi\) | |||||||
\(44\) | −6.57874 | − | 6.57874i | −0.991782 | − | 0.991782i | ||||
\(45\) | 1.71838 | − | 2.39396i | 0.256161 | − | 0.356871i | ||||
\(46\) | −6.01959 | − | 6.01959i | −0.887540 | − | 0.887540i | ||||
\(47\) | −0.345095 | −0.0503372 | −0.0251686 | − | 0.999683i | \(-0.508012\pi\) | ||||
−0.0251686 | + | 0.999683i | \(0.508012\pi\) | |||||||
\(48\) | 10.2440 | + | 10.2440i | 1.47859 | + | 1.47859i | ||||
\(49\) | −6.98738 | −0.998197 | ||||||||
\(50\) | 12.5524 | − | 4.23866i | 1.77518 | − | 0.599436i | ||||
\(51\) | 3.54034i | 0.495747i | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −3.59144 | − | 3.59144i | −0.493322 | − | 0.493322i | 0.416029 | − | 0.909351i | \(-0.363421\pi\) |
−0.909351 | + | 0.416029i | \(0.863421\pi\) | |||||||
\(54\) | −10.4928 | − | 10.4928i | −1.42788 | − | 1.42788i | ||||
\(55\) | 0.671646 | + | 4.08839i | 0.0905647 | + | 0.551278i | ||||
\(56\) | − | 0.899394i | − | 0.120187i | ||||||
\(57\) | 9.02691i | 1.19564i | ||||||||
\(58\) | −12.3346 | −1.61961 | ||||||||
\(59\) | 0.908390 | − | 0.908390i | 0.118262 | − | 0.118262i | −0.645499 | − | 0.763761i | \(-0.723351\pi\) |
0.763761 | + | 0.645499i | \(0.223351\pi\) | |||||||
\(60\) | −2.36063 | − | 14.3694i | −0.304756 | − | 1.85508i | ||||
\(61\) | −2.78301 | −0.356328 | −0.178164 | − | 0.984001i | \(-0.557016\pi\) | ||||
−0.178164 | + | 0.984001i | \(0.557016\pi\) | |||||||
\(62\) | 1.65442 | + | 1.65442i | 0.210111 | + | 0.210111i | ||||
\(63\) | 0.148060i | 0.0186538i | ||||||||
\(64\) | −13.6621 | −1.70776 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 6.36774 | 0.783815 | ||||||||
\(67\) | 0.144329i | 0.0176325i | 0.999961 | + | 0.00881627i | \(0.00280634\pi\) | ||||
−0.999961 | + | 0.00881627i | \(0.997194\pi\) | |||||||
\(68\) | −9.69188 | − | 9.69188i | −1.17531 | − | 1.17531i | ||||
\(69\) | 4.16683 | 0.501628 | ||||||||
\(70\) | −0.388167 | + | 0.540774i | −0.0463948 | + | 0.0646349i | ||||
\(71\) | −3.87045 | + | 3.87045i | −0.459338 | + | 0.459338i | −0.898438 | − | 0.439100i | \(-0.855297\pi\) |
0.439100 | + | 0.898438i | \(0.355297\pi\) | |||||||
\(72\) | 10.5501 | 1.24334 | ||||||||
\(73\) | 9.06221i | 1.06065i | 0.847794 | + | 0.530326i | \(0.177930\pi\) | ||||
−0.847794 | + | 0.530326i | \(0.822070\pi\) | |||||||
\(74\) | − | 3.90805i | − | 0.454301i | ||||||
\(75\) | −2.87745 | + | 5.81150i | −0.332259 | + | 0.671054i | ||||
\(76\) | −24.7116 | − | 24.7116i | −2.83462 | − | 2.83462i | ||||
\(77\) | −0.147197 | − | 0.147197i | −0.0167747 | − | 0.0167747i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 15.1689i | − | 1.70664i | −0.521388 | − | 0.853320i | \(-0.674586\pi\) | ||
0.521388 | − | 0.853320i | \(-0.325414\pi\) | |||||||
\(80\) | 20.2908 | + | 14.5647i | 2.26858 | + | 1.62839i | ||||
\(81\) | 3.30961 | 0.367734 | ||||||||
\(82\) | −10.1657 | − | 10.1657i | −1.12261 | − | 1.12261i | ||||
\(83\) | 8.53853 | 0.937226 | 0.468613 | − | 0.883404i | \(-0.344754\pi\) | ||||
0.468613 | + | 0.883404i | \(0.344754\pi\) | |||||||
\(84\) | 0.517354 | + | 0.517354i | 0.0564479 | + | 0.0564479i | ||||
\(85\) | 0.989478 | + | 6.02307i | 0.107324 | + | 0.653294i | ||||
\(86\) | −7.30152 | − | 7.30152i | −0.787343 | − | 0.787343i | ||||
\(87\) | 4.26907 | − | 4.26907i | 0.457692 | − | 0.457692i | ||||
\(88\) | −10.4887 | + | 10.4887i | −1.11809 | + | 1.11809i | ||||
\(89\) | −0.402434 | + | 0.402434i | −0.0426579 | + | 0.0426579i | −0.728114 | − | 0.685456i | \(-0.759603\pi\) |
0.685456 | + | 0.728114i | \(0.259603\pi\) | |||||||
\(90\) | −6.34342 | − | 4.55329i | −0.668655 | − | 0.479959i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −11.4069 | + | 11.4069i | −1.18925 | + | 1.18925i | ||||
\(93\) | −1.14521 | −0.118753 | ||||||||
\(94\) | 0.914416i | 0.0943148i | ||||||||
\(95\) | 2.52290 | + | 15.3572i | 0.258844 | + | 1.57561i | ||||
\(96\) | 12.4606 | − | 12.4606i | 1.27175 | − | 1.27175i | ||||
\(97\) | 14.9645i | 1.51941i | 0.650268 | + | 0.759705i | \(0.274657\pi\) | ||||
−0.650268 | + | 0.759705i | \(0.725343\pi\) | |||||||
\(98\) | 18.5148i | 1.87028i | ||||||||
\(99\) | 1.72666 | − | 1.72666i | 0.173536 | − | 0.173536i | ||||
\(100\) | −8.03212 | − | 23.7865i | −0.803212 | − | 2.37865i | ||||
\(101\) | 8.31058i | 0.826934i | 0.910519 | + | 0.413467i | \(0.135682\pi\) | ||||
−0.910519 | + | 0.413467i | \(0.864318\pi\) | |||||||
\(102\) | 9.38104 | 0.928862 | ||||||||
\(103\) | −7.72940 | + | 7.72940i | −0.761600 | + | 0.761600i | −0.976612 | − | 0.215011i | \(-0.931021\pi\) |
0.215011 | + | 0.976612i | \(0.431021\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.0528184 | − | 0.321512i | −0.00515455 | − | 0.0313764i | ||||
\(106\) | −9.51643 | + | 9.51643i | −0.924317 | + | 0.924317i | ||||
\(107\) | −5.23546 | + | 5.23546i | −0.506131 | + | 0.506131i | −0.913337 | − | 0.407205i | \(-0.866503\pi\) |
0.407205 | + | 0.913337i | \(0.366503\pi\) | |||||||
\(108\) | −19.8835 | + | 19.8835i | −1.91329 | + | 1.91329i | ||||
\(109\) | 3.34544 | + | 3.34544i | 0.320435 | + | 0.320435i | 0.848934 | − | 0.528499i | \(-0.177245\pi\) |
−0.528499 | + | 0.848934i | \(0.677245\pi\) | |||||||
\(110\) | 10.8332 | − | 1.77970i | 1.03291 | − | 0.169687i | ||||
\(111\) | 1.35260 | + | 1.35260i | 0.128383 | + | 0.128383i | ||||
\(112\) | −1.25493 | −0.118580 | ||||||||
\(113\) | 4.32414 | + | 4.32414i | 0.406780 | + | 0.406780i | 0.880614 | − | 0.473834i | \(-0.157130\pi\) |
−0.473834 | + | 0.880614i | \(0.657130\pi\) | |||||||
\(114\) | 23.9191 | 2.24023 | ||||||||
\(115\) | 7.08889 | − | 1.16457i | 0.661043 | − | 0.108597i | ||||
\(116\) | 23.3736i | 2.17019i | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.40701 | − | 2.40701i | −0.221583 | − | 0.221583i | ||||
\(119\) | −0.216853 | − | 0.216853i | −0.0198789 | − | 0.0198789i | ||||
\(120\) | −22.9096 | + | 3.76361i | −2.09135 | + | 0.343569i | ||||
\(121\) | − | 7.56679i | − | 0.687890i | ||||||
\(122\) | 7.37430i | 0.667638i | ||||||||
\(123\) | 7.03679 | 0.634486 | ||||||||
\(124\) | 3.13507 | − | 3.13507i | 0.281538 | − | 0.281538i | ||||
\(125\) | −3.27108 | + | 10.6911i | −0.292574 | + | 0.956243i | ||||
\(126\) | 0.392323 | 0.0349509 | ||||||||
\(127\) | −8.25062 | − | 8.25062i | −0.732124 | − | 0.732124i | 0.238916 | − | 0.971040i | \(-0.423208\pi\) |
−0.971040 | + | 0.238916i | \(0.923208\pi\) | |||||||
\(128\) | 9.02727i | 0.797905i | ||||||||
\(129\) | 5.05420 | 0.444997 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.46380 | 0.652115 | 0.326058 | − | 0.945350i | \(-0.394280\pi\) | ||||
0.326058 | + | 0.945350i | \(0.394280\pi\) | |||||||
\(132\) | − | 12.0667i | − | 1.05027i | ||||||
\(133\) | −0.552916 | − | 0.552916i | −0.0479439 | − | 0.0479439i | ||||
\(134\) | 0.382435 | 0.0330374 | ||||||||
\(135\) | 12.3567 | − | 2.02997i | 1.06349 | − | 0.174712i | ||||
\(136\) | −15.4520 | + | 15.4520i | −1.32500 | + | 1.32500i | ||||
\(137\) | −18.4843 | −1.57922 | −0.789608 | − | 0.613611i | \(-0.789716\pi\) | ||||
−0.789608 | + | 0.613611i | \(0.789716\pi\) | |||||||
\(138\) | − | 11.0411i | − | 0.939879i | ||||||
\(139\) | 10.9103i | 0.925402i | 0.886515 | + | 0.462701i | \(0.153120\pi\) | ||||
−0.886515 | + | 0.462701i | \(0.846880\pi\) | |||||||
\(140\) | 1.02475 | + | 0.735563i | 0.0866072 | + | 0.0621664i | ||||
\(141\) | −0.316485 | − | 0.316485i | −0.0266528 | − | 0.0266528i | ||||
\(142\) | 10.2557 | + | 10.2557i | 0.860643 | + | 0.860643i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | − | 14.7207i | − | 1.22672i | ||||||
\(145\) | 6.06968 | − | 8.45598i | 0.504060 | − | 0.702231i | ||||
\(146\) | 24.0126 | 1.98730 | ||||||||
\(147\) | −6.40810 | − | 6.40810i | −0.528531 | − | 0.528531i | ||||
\(148\) | −7.40562 | −0.608738 | ||||||||
\(149\) | −9.84377 | − | 9.84377i | −0.806433 | − | 0.806433i | 0.177659 | − | 0.984092i | \(-0.443148\pi\) |
−0.984092 | + | 0.177659i | \(0.943148\pi\) | |||||||
\(150\) | 15.3990 | + | 7.62454i | 1.25733 | + | 0.622541i | ||||
\(151\) | −8.49593 | − | 8.49593i | −0.691389 | − | 0.691389i | 0.271149 | − | 0.962537i | \(-0.412596\pi\) |
−0.962537 | + | 0.271149i | \(0.912596\pi\) | |||||||
\(152\) | −39.3984 | + | 39.3984i | −3.19564 | + | 3.19564i | ||||
\(153\) | 2.54374 | − | 2.54374i | 0.205649 | − | 0.205649i | ||||
\(154\) | −0.390037 | + | 0.390037i | −0.0314301 | + | 0.0314301i | ||||
\(155\) | −1.94830 | + | 0.320070i | −0.156492 | + | 0.0257086i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.14491 | + | 5.14491i | −0.410609 | + | 0.410609i | −0.881951 | − | 0.471342i | \(-0.843770\pi\) |
0.471342 | + | 0.881951i | \(0.343770\pi\) | |||||||
\(158\) | −40.1940 | −3.19766 | ||||||||
\(159\) | − | 6.58739i | − | 0.522414i | ||||||
\(160\) | 17.7162 | − | 24.6813i | 1.40059 | − | 1.95123i | ||||
\(161\) | −0.255227 | + | 0.255227i | −0.0201147 | + | 0.0201147i | ||||
\(162\) | − | 8.76965i | − | 0.689009i | ||||||
\(163\) | − | 20.5175i | − | 1.60705i | −0.595270 | − | 0.803526i | \(-0.702955\pi\) | ||
0.595270 | − | 0.803526i | \(-0.297045\pi\) | |||||||
\(164\) | −19.2636 | + | 19.2636i | −1.50423 | + | 1.50423i | ||||
\(165\) | −3.13348 | + | 4.36541i | −0.243941 | + | 0.339847i | ||||
\(166\) | − | 22.6250i | − | 1.75604i | ||||||
\(167\) | −2.54101 | −0.196629 | −0.0983146 | − | 0.995155i | \(-0.531345\pi\) | ||||
−0.0983146 | + | 0.995155i | \(0.531345\pi\) | |||||||
\(168\) | 0.824831 | − | 0.824831i | 0.0636371 | − | 0.0636371i | ||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 15.9597 | − | 2.62187i | 1.22405 | − | 0.201088i | ||||
\(171\) | 6.48585 | − | 6.48585i | 0.495985 | − | 0.495985i | ||||
\(172\) | −13.8361 | + | 13.8361i | −1.05500 | + | 1.05500i | ||||
\(173\) | 0.0557881 | − | 0.0557881i | 0.00424149 | − | 0.00424149i | −0.704983 | − | 0.709224i | \(-0.749045\pi\) |
0.709224 | + | 0.704983i | \(0.249045\pi\) | |||||||
\(174\) | −11.3120 | − | 11.3120i | −0.857560 | − | 0.857560i | ||||
\(175\) | −0.179716 | − | 0.532216i | −0.0135853 | − | 0.0402317i | ||||
\(176\) | 14.6349 | + | 14.6349i | 1.10315 | + | 1.10315i | ||||
\(177\) | 1.66616 | 0.125236 | ||||||||
\(178\) | 1.06635 | + | 1.06635i | 0.0799264 | + | 0.0799264i | ||||
\(179\) | −21.2241 | −1.58636 | −0.793181 | − | 0.608987i | \(-0.791576\pi\) | ||||
−0.793181 | + | 0.608987i | \(0.791576\pi\) | |||||||
\(180\) | −8.62834 | + | 12.0206i | −0.643119 | + | 0.895961i | ||||
\(181\) | − | 22.5267i | − | 1.67440i | −0.546899 | − | 0.837198i | \(-0.684192\pi\) | ||
0.546899 | − | 0.837198i | \(-0.315808\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −2.55229 | − | 2.55229i | −0.188671 | − | 0.188671i | ||||
\(184\) | 18.1864 | + | 18.1864i | 1.34072 | + | 1.34072i | ||||
\(185\) | 2.67916 | + | 1.92310i | 0.196976 | + | 0.141389i | ||||
\(186\) | 3.03452i | 0.222502i | ||||||||
\(187\) | 5.05785i | 0.369866i | ||||||||
\(188\) | 1.73279 | 0.126377 | ||||||||
\(189\) | −0.444887 | + | 0.444887i | −0.0323608 | + | 0.0323608i | ||||
\(190\) | 40.6927 | − | 6.68506i | 2.95216 | − | 0.484985i | ||||
\(191\) | 19.6065 | 1.41868 | 0.709339 | − | 0.704868i | \(-0.248994\pi\) | ||||
0.709339 | + | 0.704868i | \(0.248994\pi\) | |||||||
\(192\) | −12.5295 | − | 12.5295i | −0.904237 | − | 0.904237i | ||||
\(193\) | 16.7120i | 1.20296i | 0.798889 | + | 0.601479i | \(0.205421\pi\) | ||||
−0.798889 | + | 0.601479i | \(0.794579\pi\) | |||||||
\(194\) | 39.6521 | 2.84686 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 35.0850 | 2.50607 | ||||||||
\(197\) | 15.1863i | 1.08198i | 0.841029 | + | 0.540990i | \(0.181950\pi\) | ||||
−0.841029 | + | 0.540990i | \(0.818050\pi\) | |||||||
\(198\) | −4.57523 | − | 4.57523i | −0.325148 | − | 0.325148i | ||||
\(199\) | 13.9471 | 0.988686 | 0.494343 | − | 0.869267i | \(-0.335409\pi\) | ||||
0.494343 | + | 0.869267i | \(0.335409\pi\) | |||||||
\(200\) | −37.9234 | + | 12.8058i | −2.68159 | + | 0.905508i | ||||
\(201\) | −0.132363 | + | 0.132363i | −0.00933618 | + | 0.00933618i | ||||
\(202\) | 22.0210 | 1.54939 | ||||||||
\(203\) | 0.522979i | 0.0367059i | ||||||||
\(204\) | − | 17.7768i | − | 1.24462i | ||||||
\(205\) | 11.9715 | − | 1.96669i | 0.836123 | − | 0.137359i | ||||
\(206\) | 20.4810 | + | 20.4810i | 1.42698 | + | 1.42698i | ||||
\(207\) | −2.99388 | − | 2.99388i | −0.208089 | − | 0.208089i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 12.8961i | 0.892044i | ||||||||
\(210\) | −0.851928 | + | 0.139956i | −0.0587886 | + | 0.00965787i | ||||
\(211\) | −23.6181 | −1.62594 | −0.812969 | − | 0.582307i | \(-0.802150\pi\) | ||||
−0.812969 | + | 0.582307i | \(0.802150\pi\) | |||||||
\(212\) | 18.0333 | + | 18.0333i | 1.23853 | + | 1.23853i | ||||
\(213\) | −7.09915 | −0.486426 | ||||||||
\(214\) | 13.8727 | + | 13.8727i | 0.948318 | + | 0.948318i | ||||
\(215\) | 8.59854 | − | 1.41258i | 0.586416 | − | 0.0963371i | ||||
\(216\) | 31.7007 | + | 31.7007i | 2.15696 | + | 2.15696i | ||||
\(217\) | 0.0701463 | − | 0.0701463i | 0.00476184 | − | 0.00476184i | ||||
\(218\) | 8.86460 | − | 8.86460i | 0.600387 | − | 0.600387i | ||||
\(219\) | −8.31092 | + | 8.31092i | −0.561600 | + | 0.561600i | ||||
\(220\) | −3.37247 | − | 20.5286i | −0.227372 | − | 1.38404i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 3.58405 | − | 3.58405i | 0.240546 | − | 0.240546i | ||||
\(223\) | 9.72639 | 0.651327 | 0.325664 | − | 0.945486i | \(-0.394412\pi\) | ||||
0.325664 | + | 0.945486i | \(0.394412\pi\) | |||||||
\(224\) | 1.52647i | 0.101992i | ||||||||
\(225\) | 6.24303 | − | 2.10812i | 0.416202 | − | 0.140541i | ||||
\(226\) | 11.4579 | − | 11.4579i | 0.762168 | − | 0.762168i | ||||
\(227\) | − | 9.17580i | − | 0.609019i | −0.952509 | − | 0.304510i | \(-0.901507\pi\) | ||
0.952509 | − | 0.304510i | \(-0.0984925\pi\) | |||||||
\(228\) | − | 45.3259i | − | 3.00178i | ||||||
\(229\) | 12.5270 | − | 12.5270i | 0.827811 | − | 0.827811i | −0.159403 | − | 0.987214i | \(-0.550957\pi\) |
0.987214 | + | 0.159403i | \(0.0509569\pi\) | |||||||
\(230\) | −3.08583 | − | 18.7838i | −0.203474 | − | 1.23857i | ||||
\(231\) | − | 0.269988i | − | 0.0177639i | ||||||
\(232\) | 37.2652 | 2.44658 | ||||||||
\(233\) | −11.8637 | + | 11.8637i | −0.777214 | + | 0.777214i | −0.979356 | − | 0.202142i | \(-0.935210\pi\) |
0.202142 | + | 0.979356i | \(0.435210\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.626879 | − | 0.449972i | −0.0408931 | − | 0.0293530i | ||||
\(236\) | −4.56120 | + | 4.56120i | −0.296909 | + | 0.296909i | ||||
\(237\) | 13.9114 | − | 13.9114i | 0.903641 | − | 0.903641i | ||||
\(238\) | −0.574608 | + | 0.574608i | −0.0372463 | + | 0.0372463i | ||||
\(239\) | −18.2161 | − | 18.2161i | −1.17830 | − | 1.17830i | −0.980177 | − | 0.198124i | \(-0.936515\pi\) |
−0.198124 | − | 0.980177i | \(-0.563485\pi\) | |||||||
\(240\) | 5.25140 | + | 31.9659i | 0.338976 | + | 2.06339i | ||||
\(241\) | 3.86818 | + | 3.86818i | 0.249171 | + | 0.249171i | 0.820630 | − | 0.571459i | \(-0.193622\pi\) |
−0.571459 | + | 0.820630i | \(0.693622\pi\) | |||||||
\(242\) | −20.0501 | −1.28887 | ||||||||
\(243\) | −8.84448 | − | 8.84448i | −0.567373 | − | 0.567373i | ||||
\(244\) | 13.9741 | 0.894597 | ||||||||
\(245\) | −12.6929 | − | 9.11091i | −0.810917 | − | 0.582075i | ||||
\(246\) | − | 18.6458i | − | 1.18881i | ||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −4.99833 | − | 4.99833i | −0.317394 | − | 0.317394i | ||||
\(249\) | 7.83065 | + | 7.83065i | 0.496247 | + | 0.496247i | ||||
\(250\) | 28.3288 | + | 8.66755i | 1.79167 | + | 0.548184i | ||||
\(251\) | − | 13.0677i | − | 0.824824i | −0.910997 | − | 0.412412i | \(-0.864686\pi\) | ||
0.910997 | − | 0.412412i | \(-0.135314\pi\) | |||||||
\(252\) | − | 0.743439i | − | 0.0468322i | ||||||
\(253\) | 5.95287 | 0.374254 | ||||||||
\(254\) | −21.8621 | + | 21.8621i | −1.37175 | + | 1.37175i | ||||
\(255\) | −4.61629 | + | 6.43118i | −0.289083 | + | 0.402736i | ||||
\(256\) | −3.40419 | −0.212762 | ||||||||
\(257\) | 12.3380 | + | 12.3380i | 0.769625 | + | 0.769625i | 0.978040 | − | 0.208415i | \(-0.0668305\pi\) |
−0.208415 | + | 0.978040i | \(0.566830\pi\) | |||||||
\(258\) | − | 13.3924i | − | 0.833774i | ||||||
\(259\) | −0.165699 | −0.0102960 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −6.13467 | −0.379727 | ||||||||
\(262\) | − | 19.7772i | − | 1.22184i | ||||||
\(263\) | 14.7419 | + | 14.7419i | 0.909027 | + | 0.909027i | 0.996194 | − | 0.0871665i | \(-0.0277812\pi\) |
−0.0871665 | + | 0.996194i | \(0.527781\pi\) | |||||||
\(264\) | −19.2382 | −1.18403 | ||||||||
\(265\) | −1.84108 | − | 11.2069i | −0.113097 | − | 0.688434i | ||||
\(266\) | −1.46509 | + | 1.46509i | −0.0898306 | + | 0.0898306i | ||||
\(267\) | −0.738141 | −0.0451735 | ||||||||
\(268\) | − | 0.724703i | − | 0.0442683i | ||||||
\(269\) | 10.5665i | 0.644252i | 0.946697 | + | 0.322126i | \(0.104398\pi\) | ||||
−0.946697 | + | 0.322126i | \(0.895602\pi\) | |||||||
\(270\) | −5.37892 | − | 32.7422i | −0.327351 | − | 1.99262i | ||||
\(271\) | −5.59357 | − | 5.59357i | −0.339785 | − | 0.339785i | 0.516501 | − | 0.856286i | \(-0.327234\pi\) |
−0.856286 | + | 0.516501i | \(0.827234\pi\) | |||||||
\(272\) | 21.5603 | + | 21.5603i | 1.30729 | + | 1.30729i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 48.9787i | 2.95891i | ||||||||
\(275\) | −4.11082 | + | 8.30249i | −0.247892 | + | 0.500659i | ||||
\(276\) | −20.9225 | −1.25939 | ||||||||
\(277\) | −7.22248 | − | 7.22248i | −0.433957 | − | 0.433957i | 0.456015 | − | 0.889972i | \(-0.349276\pi\) |
−0.889972 | + | 0.456015i | \(0.849276\pi\) | |||||||
\(278\) | 28.9097 | 1.73389 | ||||||||
\(279\) | 0.822834 | + | 0.822834i | 0.0492618 | + | 0.0492618i | ||||
\(280\) | 1.17273 | − | 1.63379i | 0.0700840 | − | 0.0976374i | ||||
\(281\) | 12.4763 | + | 12.4763i | 0.744271 | + | 0.744271i | 0.973397 | − | 0.229126i | \(-0.0735867\pi\) |
−0.229126 | + | 0.973397i | \(0.573587\pi\) | |||||||
\(282\) | −0.838608 | + | 0.838608i | −0.0499384 | + | 0.0499384i | ||||
\(283\) | 5.84527 | − | 5.84527i | 0.347465 | − | 0.347465i | −0.511700 | − | 0.859164i | \(-0.670984\pi\) |
0.859164 | + | 0.511700i | \(0.170984\pi\) | |||||||
\(284\) | 19.4343 | − | 19.4343i | 1.15321 | − | 1.15321i | ||||
\(285\) | −11.7703 | + | 16.3977i | −0.697210 | + | 0.971318i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.431018 | + | 0.431018i | −0.0254422 | + | 0.0254422i | ||||
\(288\) | −17.9059 | −1.05511 | ||||||||
\(289\) | − | 9.54871i | − | 0.561689i | ||||||
\(290\) | −22.4063 | − | 16.0832i | −1.31574 | − | 0.944436i | ||||
\(291\) | −13.7238 | + | 13.7238i | −0.804506 | + | 0.804506i | ||||
\(292\) | − | 45.5032i | − | 2.66287i | ||||||
\(293\) | 6.37832i | 0.372625i | 0.982491 | + | 0.186313i | \(0.0596537\pi\) | ||||
−0.982491 | + | 0.186313i | \(0.940346\pi\) | |||||||
\(294\) | −16.9799 | + | 16.9799i | −0.990287 | + | 0.990287i | ||||
\(295\) | 2.83458 | − | 0.465669i | 0.165036 | − | 0.0271123i | ||||
\(296\) | 11.8070i | 0.686267i | ||||||||
\(297\) | 10.3765 | 0.602104 | ||||||||
\(298\) | −26.0836 | + | 26.0836i | −1.51098 | + | 1.51098i | ||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 14.4483 | − | 29.1807i | 0.834170 | − | 1.68475i | ||||
\(301\) | −0.309580 | + | 0.309580i | −0.0178439 | + | 0.0178439i | ||||
\(302\) | −22.5121 | + | 22.5121i | −1.29543 | + | 1.29543i | ||||
\(303\) | −7.62160 | + | 7.62160i | −0.437850 | + | 0.437850i | ||||
\(304\) | 54.9729 | + | 54.9729i | 3.15291 | + | 3.15291i | ||||
\(305\) | −5.05546 | − | 3.62880i | −0.289475 | − | 0.207784i | ||||
\(306\) | −6.74029 | − | 6.74029i | −0.385317 | − | 0.385317i | ||||
\(307\) | −26.5460 | −1.51506 | −0.757530 | − | 0.652801i | \(-0.773594\pi\) | ||||
−0.757530 | + | 0.652801i | \(0.773594\pi\) | |||||||
\(308\) | 0.739108 | + | 0.739108i | 0.0421146 | + | 0.0421146i | ||||
\(309\) | −14.1772 | −0.806512 | ||||||||
\(310\) | 0.848107 | + | 5.16253i | 0.0481692 | + | 0.293212i | ||||
\(311\) | − | 3.54417i | − | 0.200972i | −0.994938 | − | 0.100486i | \(-0.967960\pi\) | ||
0.994938 | − | 0.100486i | \(-0.0320397\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −6.21088 | − | 6.21088i | −0.351060 | − | 0.351060i | 0.509444 | − | 0.860504i | \(-0.329851\pi\) |
−0.860504 | + | 0.509444i | \(0.829851\pi\) | |||||||
\(314\) | 13.6328 | + | 13.6328i | 0.769341 | + | 0.769341i | ||||
\(315\) | −0.193057 | + | 0.268957i | −0.0108775 | + | 0.0151540i | ||||
\(316\) | 76.1663i | 4.28469i | ||||||||
\(317\) | 8.52812i | 0.478987i | 0.970898 | + | 0.239494i | \(0.0769814\pi\) | ||||
−0.970898 | + | 0.239494i | \(0.923019\pi\) | |||||||
\(318\) | −17.4550 | −0.978825 | ||||||||
\(319\) | 6.09893 | − | 6.09893i | 0.341474 | − | 0.341474i | ||||
\(320\) | −24.8178 | − | 17.8142i | −1.38736 | − | 0.995842i | ||||
\(321\) | −9.60284 | −0.535978 | ||||||||
\(322\) | 0.676289 | + | 0.676289i | 0.0376881 | + | 0.0376881i | ||||
\(323\) | 18.9987i | 1.05712i | ||||||||
\(324\) | −16.6182 | −0.923233 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −54.3663 | −3.01107 | ||||||||
\(327\) | 6.13618i | 0.339332i | ||||||||
\(328\) | 30.7125 | + | 30.7125i | 1.69581 | + | 1.69581i | ||||
\(329\) | 0.0387707 | 0.00213750 | ||||||||
\(330\) | 11.5673 | + | 8.30296i | 0.636757 | + | 0.457063i | ||||
\(331\) | 12.7328 | − | 12.7328i | 0.699860 | − | 0.699860i | −0.264520 | − | 0.964380i | \(-0.585214\pi\) |
0.964380 | + | 0.264520i | \(0.0852136\pi\) | |||||||
\(332\) | −42.8737 | −2.35300 | ||||||||
\(333\) | − | 1.94369i | − | 0.106513i | ||||||
\(334\) | 6.73305i | 0.368416i | ||||||||
\(335\) | −0.188191 | + | 0.262179i | −0.0102820 | + | 0.0143244i | ||||
\(336\) | −1.15089 | − | 1.15089i | −0.0627863 | − | 0.0627863i | ||||
\(337\) | −20.0865 | − | 20.0865i | −1.09418 | − | 1.09418i | −0.995077 | − | 0.0991030i | \(-0.968403\pi\) |
−0.0991030 | − | 0.995077i | \(-0.531597\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 7.93129i | 0.430769i | ||||||||
\(340\) | −4.96836 | − | 30.2430i | −0.269447 | − | 1.64016i | ||||
\(341\) | −1.63608 | −0.0885987 | ||||||||
\(342\) | −17.1859 | − | 17.1859i | −0.929307 | − | 0.929307i | ||||
\(343\) | 1.57145 | 0.0848505 | ||||||||
\(344\) | 22.0593 | + | 22.0593i | 1.18936 | + | 1.18936i | ||||
\(345\) | 7.56922 | + | 5.43317i | 0.407513 | + | 0.292512i | ||||
\(346\) | −0.147825 | − | 0.147825i | −0.00794710 | − | 0.00794710i | ||||
\(347\) | −5.07459 | + | 5.07459i | −0.272418 | + | 0.272418i | −0.830073 | − | 0.557655i | \(-0.811701\pi\) |
0.557655 | + | 0.830073i | \(0.311701\pi\) | |||||||
\(348\) | −21.4359 | + | 21.4359i | −1.14908 | + | 1.14908i | ||||
\(349\) | −2.58330 | + | 2.58330i | −0.138281 | + | 0.138281i | −0.772859 | − | 0.634578i | \(-0.781174\pi\) |
0.634578 | + | 0.772859i | \(0.281174\pi\) | |||||||
\(350\) | −1.41024 | + | 0.476204i | −0.0753806 | + | 0.0254542i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 17.8016 | − | 17.8016i | 0.948827 | − | 0.948827i | ||||
\(353\) | 1.76326 | 0.0938487 | 0.0469243 | − | 0.998898i | \(-0.485058\pi\) | ||||
0.0469243 | + | 0.998898i | \(0.485058\pi\) | |||||||
\(354\) | − | 4.41492i | − | 0.234650i | ||||||
\(355\) | −12.0775 | + | 1.98411i | −0.641010 | + | 0.105306i | ||||
\(356\) | 2.02070 | − | 2.02070i | 0.107097 | − | 0.107097i | ||||
\(357\) | − | 0.397750i | − | 0.0210512i | ||||||
\(358\) | 56.2386i | 2.97230i | ||||||||
\(359\) | 8.58021 | − | 8.58021i | 0.452846 | − | 0.452846i | −0.443452 | − | 0.896298i | \(-0.646246\pi\) |
0.896298 | + | 0.443452i | \(0.146246\pi\) | |||||||
\(360\) | 19.1647 | + | 13.7564i | 1.01007 | + | 0.725026i | ||||
\(361\) | 29.4416i | 1.54956i | ||||||||
\(362\) | −59.6902 | −3.13725 | ||||||||
\(363\) | 6.93947 | − | 6.93947i | 0.364228 | − | 0.364228i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −11.8163 | + | 16.4619i | −0.618493 | + | 0.861654i | ||||
\(366\) | −6.76294 | + | 6.76294i | −0.353505 | + | 0.353505i | ||||
\(367\) | −9.90736 | + | 9.90736i | −0.517160 | + | 0.517160i | −0.916711 | − | 0.399551i | \(-0.869166\pi\) |
0.399551 | + | 0.916711i | \(0.369166\pi\) | |||||||
\(368\) | 25.3756 | − | 25.3756i | 1.32279 | − | 1.32279i | ||||
\(369\) | −5.05594 | − | 5.05594i | −0.263202 | − | 0.263202i | ||||
\(370\) | 5.09574 | − | 7.09912i | 0.264915 | − | 0.369066i | ||||
\(371\) | 0.403491 | + | 0.403491i | 0.0209482 | + | 0.0209482i | ||||
\(372\) | 5.75032 | 0.298140 | ||||||||
\(373\) | −20.4300 | − | 20.4300i | −1.05782 | − | 1.05782i | −0.998222 | − | 0.0596011i | \(-0.981017\pi\) |
−0.0596011 | − | 0.998222i | \(-0.518983\pi\) | |||||||
\(374\) | 13.4021 | 0.693004 | ||||||||
\(375\) | −12.8047 | + | 6.80489i | −0.661231 | + | 0.351403i | ||||
\(376\) | − | 2.76263i | − | 0.142472i | ||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 1.17884 | + | 1.17884i | 0.0606330 | + | 0.0606330i | ||||
\(379\) | 6.70112 | + | 6.70112i | 0.344213 | + | 0.344213i | 0.857949 | − | 0.513735i | \(-0.171739\pi\) |
−0.513735 | + | 0.857949i | \(0.671739\pi\) | |||||||
\(380\) | −12.6680 | − | 77.1114i | −0.649853 | − | 3.95573i | ||||
\(381\) | − | 15.1332i | − | 0.775299i | ||||||
\(382\) | − | 51.9525i | − | 2.65812i | ||||||
\(383\) | −21.0722 | −1.07674 | −0.538369 | − | 0.842709i | \(-0.680959\pi\) | ||||
−0.538369 | + | 0.842709i | \(0.680959\pi\) | |||||||
\(384\) | −8.27887 | + | 8.27887i | −0.422479 | + | 0.422479i | ||||
\(385\) | −0.0754581 | − | 0.459322i | −0.00384570 | − | 0.0234092i | ||||
\(386\) | 44.2827 | 2.25393 | ||||||||
\(387\) | −3.63145 | − | 3.63145i | −0.184597 | − | 0.184597i | ||||
\(388\) | − | 75.1395i | − | 3.81463i | ||||||
\(389\) | 0.0604806 | 0.00306649 | 0.00153324 | − | 0.999999i | \(-0.499512\pi\) | ||||
0.00153324 | + | 0.999999i | \(0.499512\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 8.76984 | 0.443510 | ||||||||
\(392\) | − | 55.9370i | − | 2.82525i | ||||||
\(393\) | 6.84502 | + | 6.84502i | 0.345286 | + | 0.345286i | ||||
\(394\) | 40.2400 | 2.02726 | ||||||||
\(395\) | 19.7789 | − | 27.5550i | 0.995186 | − | 1.38644i | ||||
\(396\) | −8.66992 | + | 8.66992i | −0.435680 | + | 0.435680i | ||||
\(397\) | 8.21625 | 0.412362 | 0.206181 | − | 0.978514i | \(-0.433896\pi\) | ||||
0.206181 | + | 0.978514i | \(0.433896\pi\) | |||||||
\(398\) | − | 36.9565i | − | 1.85246i | ||||||
\(399\) | − | 1.01415i | − | 0.0507712i | ||||||
\(400\) | 17.8681 | + | 52.9148i | 0.893403 | + | 2.64574i | ||||
\(401\) | −6.36306 | − | 6.36306i | −0.317756 | − | 0.317756i | 0.530149 | − | 0.847905i | \(-0.322136\pi\) |
−0.847905 | + | 0.530149i | \(0.822136\pi\) | |||||||
\(402\) | 0.350730 | + | 0.350730i | 0.0174928 | + | 0.0174928i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | − | 41.7291i | − | 2.07610i | ||||||
\(405\) | 6.01204 | + | 4.31543i | 0.298741 | + | 0.214435i | ||||
\(406\) | 1.38576 | 0.0687743 | ||||||||
\(407\) | 1.93236 | + | 1.93236i | 0.0957837 | + | 0.0957837i | ||||
\(408\) | −28.3420 | −1.40314 | ||||||||
\(409\) | −25.3299 | − | 25.3299i | −1.25248 | − | 1.25248i | −0.954604 | − | 0.297878i | \(-0.903721\pi\) |
−0.297878 | − | 0.954604i | \(-0.596279\pi\) | |||||||
\(410\) | −5.21123 | − | 31.7214i | −0.257365 | − | 1.56661i | ||||
\(411\) | −16.9518 | − | 16.9518i | −0.836173 | − | 0.836173i | ||||
\(412\) | 38.8108 | − | 38.8108i | 1.91207 | − | 1.91207i | ||||
\(413\) | −0.102056 | + | 0.102056i | −0.00502183 | + | 0.00502183i | ||||
\(414\) | −7.93304 | + | 7.93304i | −0.389887 | + | 0.389887i | ||||
\(415\) | 15.5106 | + | 11.1335i | 0.761385 | + | 0.546521i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −10.0058 | + | 10.0058i | −0.489987 | + | 0.489987i | ||||
\(418\) | 34.1716 | 1.67139 | ||||||||
\(419\) | − | 13.0807i | − | 0.639036i | −0.947580 | − | 0.319518i | \(-0.896479\pi\) | ||
0.947580 | − | 0.319518i | \(-0.103521\pi\) | |||||||
\(420\) | 0.265212 | + | 1.61438i | 0.0129410 | + | 0.0787735i | ||||
\(421\) | −13.7924 | + | 13.7924i | −0.672203 | + | 0.672203i | −0.958223 | − | 0.286021i | \(-0.907667\pi\) |
0.286021 | + | 0.958223i | \(0.407667\pi\) | |||||||
\(422\) | 62.5822i | 3.04645i | ||||||||
\(423\) | 0.454790i | 0.0221126i | ||||||||
\(424\) | 28.7510 | − | 28.7510i | 1.39627 | − | 1.39627i | ||||
\(425\) | −6.05611 | + | 12.2313i | −0.293765 | + | 0.593307i | ||||
\(426\) | 18.8110i | 0.911396i | ||||||||
\(427\) | 0.312666 | 0.0151310 | ||||||||
\(428\) | 26.2883 | − | 26.2883i | 1.27069 | − | 1.27069i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −3.74299 | − | 22.7840i | −0.180503 | − | 1.09874i | ||||
\(431\) | −15.7112 | + | 15.7112i | −0.756782 | + | 0.756782i | −0.975735 | − | 0.218953i | \(-0.929736\pi\) |
0.218953 | + | 0.975735i | \(0.429736\pi\) | |||||||
\(432\) | 44.2323 | − | 44.2323i | 2.12813 | − | 2.12813i | ||||
\(433\) | 0.129788 | − | 0.129788i | 0.00623723 | − | 0.00623723i | −0.703981 | − | 0.710219i | \(-0.748596\pi\) |
0.710219 | + | 0.703981i | \(0.248596\pi\) | |||||||
\(434\) | −0.185871 | − | 0.185871i | −0.00892207 | − | 0.00892207i | ||||
\(435\) | 13.3214 | − | 2.18846i | 0.638713 | − | 0.104929i | ||||
\(436\) | −16.7981 | − | 16.7981i | −0.804485 | − | 0.804485i | ||||
\(437\) | 22.3607 | 1.06966 | ||||||||
\(438\) | 22.0219 | + | 22.0219i | 1.05225 | + | 1.05225i | ||||
\(439\) | 17.2936 | 0.825380 | 0.412690 | − | 0.910871i | \(-0.364589\pi\) | ||||
0.412690 | + | 0.910871i | \(0.364589\pi\) | |||||||
\(440\) | −32.7293 | + | 5.37682i | −1.56031 | + | 0.256330i | ||||
\(441\) | 9.20846i | 0.438498i | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 24.4472 | + | 24.4472i | 1.16152 | + | 1.16152i | 0.984143 | + | 0.177377i | \(0.0567611\pi\) |
0.177377 | + | 0.984143i | \(0.443239\pi\) | |||||||
\(444\) | −6.79166 | − | 6.79166i | −0.322318 | − | 0.322318i | ||||
\(445\) | −1.25578 | + | 0.206300i | −0.0595295 | + | 0.00977958i | ||||
\(446\) | − | 25.7725i | − | 1.22037i | ||||||
\(447\) | − | 18.0554i | − | 0.853989i | ||||||
\(448\) | 1.53491 | 0.0725177 | ||||||||
\(449\) | 26.2934 | − | 26.2934i | 1.24086 | − | 1.24086i | 0.281221 | − | 0.959643i | \(-0.409261\pi\) |
0.959643 | − | 0.281221i | \(-0.0907394\pi\) | |||||||
\(450\) | −5.58600 | − | 16.5425i | −0.263326 | − | 0.779820i | ||||
\(451\) | 10.0530 | 0.473376 | ||||||||
\(452\) | −21.7123 | − | 21.7123i | −1.02126 | − | 1.02126i | ||||
\(453\) | − | 15.5832i | − | 0.732161i | ||||||
\(454\) | −24.3136 | −1.14109 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −72.2643 | −3.38409 | ||||||||
\(457\) | − | 9.42691i | − | 0.440972i | −0.975390 | − | 0.220486i | \(-0.929236\pi\) | ||
0.975390 | − | 0.220486i | \(-0.0707643\pi\) | |||||||
\(458\) | −33.1936 | − | 33.1936i | −1.55104 | − | 1.55104i | ||||
\(459\) | 15.2867 | 0.713524 | ||||||||
\(460\) | −35.5947 | + | 5.84755i | −1.65961 | + | 0.272643i | ||||
\(461\) | −23.2538 | + | 23.2538i | −1.08304 | + | 1.08304i | −0.0868134 | + | 0.996225i | \(0.527668\pi\) |
−0.996225 | + | 0.0868134i | \(0.972332\pi\) | |||||||
\(462\) | −0.715403 | −0.0332836 | ||||||||
\(463\) | 18.6729i | 0.867805i | 0.900960 | + | 0.433903i | \(0.142864\pi\) | ||||
−0.900960 | + | 0.433903i | \(0.857136\pi\) | |||||||
\(464\) | − | 51.9964i | − | 2.41387i | ||||||
\(465\) | −2.08032 | − | 1.49325i | −0.0964724 | − | 0.0692477i | ||||
\(466\) | 31.4358 | + | 31.4358i | 1.45623 | + | 1.45623i | ||||
\(467\) | −12.1678 | − | 12.1678i | −0.563057 | − | 0.563057i | 0.367118 | − | 0.930175i | \(-0.380345\pi\) |
−0.930175 | + | 0.367118i | \(0.880345\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | − | 0.0162150i | − | 0.000748740i | ||||||
\(470\) | −1.19232 | + | 1.66107i | −0.0549974 | + | 0.0766197i | ||||
\(471\) | −9.43676 | −0.434823 | ||||||||
\(472\) | 7.27205 | + | 7.27205i | 0.334723 | + | 0.334723i | ||||
\(473\) | 7.22059 | 0.332003 | ||||||||
\(474\) | −36.8617 | − | 36.8617i | −1.69312 | − | 1.69312i | ||||
\(475\) | −15.4414 | + | 31.1866i | −0.708501 | + | 1.43094i | ||||
\(476\) | 1.08886 | + | 1.08886i | 0.0499080 | + | 0.0499080i | ||||
\(477\) | −4.73305 | + | 4.73305i | −0.216711 | + | 0.216711i | ||||
\(478\) | −48.2682 | + | 48.2682i | −2.20773 | + | 2.20773i | ||||
\(479\) | 23.3087 | − | 23.3087i | 1.06500 | − | 1.06500i | 0.0672673 | − | 0.997735i | \(-0.478572\pi\) |
0.997735 | − | 0.0672673i | \(-0.0214280\pi\) | |||||||
\(480\) | 38.8826 | − | 6.38768i | 1.77474 | − | 0.291557i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 10.2497 | − | 10.2497i | 0.466862 | − | 0.466862i | ||||
\(483\) | −0.468135 | −0.0213009 | ||||||||
\(484\) | 37.9944i | 1.72702i | ||||||||
\(485\) | −19.5123 | + | 27.1835i | −0.886008 | + | 1.23434i | ||||
\(486\) | −23.4357 | + | 23.4357i | −1.06306 | + | 1.06306i | ||||
\(487\) | − | 32.9863i | − | 1.49475i | −0.664402 | − | 0.747376i | \(-0.731314\pi\) | ||
0.664402 | − | 0.747376i | \(-0.268686\pi\) | |||||||
\(488\) | − | 22.2792i | − | 1.00853i | ||||||
\(489\) | 18.8165 | − | 18.8165i | 0.850911 | − | 0.850911i | ||||
\(490\) | −24.1417 | + | 33.6330i | −1.09061 | + | 1.51938i | ||||
\(491\) | − | 21.2958i | − | 0.961065i | −0.876977 | − | 0.480533i | \(-0.840443\pi\) | ||
0.876977 | − | 0.480533i | \(-0.159557\pi\) | |||||||
\(492\) | −35.3331 | −1.59294 | ||||||||
\(493\) | 8.98502 | − | 8.98502i | 0.404665 | − | 0.404665i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 5.38797 | − | 0.885142i | 0.242171 | − | 0.0397842i | ||||
\(496\) | −6.97420 | + | 6.97420i | −0.313151 | + | 0.313151i | ||||
\(497\) | 0.434837 | − | 0.434837i | 0.0195051 | − | 0.0195051i | ||||
\(498\) | 20.7493 | − | 20.7493i | 0.929799 | − | 0.929799i | ||||
\(499\) | −14.9199 | − | 14.9199i | −0.667904 | − | 0.667904i | 0.289326 | − | 0.957231i | \(-0.406569\pi\) |
−0.957231 | + | 0.289326i | \(0.906569\pi\) | |||||||
\(500\) | 16.4247 | − | 53.6822i | 0.734536 | − | 2.40074i | ||||
\(501\) | −2.33035 | − | 2.33035i | −0.104112 | − | 0.104112i | ||||
\(502\) | −34.6261 | −1.54544 | ||||||||
\(503\) | 30.8883 | + | 30.8883i | 1.37724 | + | 1.37724i | 0.849247 | + | 0.527996i | \(0.177056\pi\) |
0.527996 | + | 0.849247i | \(0.322944\pi\) | |||||||
\(504\) | −1.18529 | −0.0527968 | ||||||||
\(505\) | −10.8362 | + | 15.0965i | −0.482207 | + | 0.671786i | ||||
\(506\) | − | 15.7736i | − | 0.701224i | ||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 41.4280 | + | 41.4280i | 1.83807 | + | 1.83807i | ||||
\(509\) | −26.4196 | − | 26.4196i | −1.17103 | − | 1.17103i | −0.981965 | − | 0.189062i | \(-0.939455\pi\) |
−0.189062 | − | 0.981965i | \(-0.560545\pi\) | |||||||
\(510\) | 17.0410 | + | 12.2320i | 0.754590 | + | 0.541643i | ||||
\(511\) | − | 1.01812i | − | 0.0450390i | ||||||
\(512\) | 27.0748i | 1.19655i | ||||||||
\(513\) | 38.9770 | 1.72088 | ||||||||
\(514\) | 32.6928 | − | 32.6928i | 1.44202 | − | 1.44202i | ||||
\(515\) | −24.1192 | + | 3.96233i | −1.06282 | + | 0.174601i | ||||
\(516\) | −25.3781 | −1.11721 | ||||||||
\(517\) | −0.452141 | − | 0.452141i | −0.0198851 | − | 0.0198851i | ||||
\(518\) | 0.439061i | 0.0192912i | ||||||||
\(519\) | 0.102326 | 0.00449161 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −35.6853 | −1.56340 | −0.781701 | − | 0.623653i | \(-0.785648\pi\) | ||||
−0.781701 | + | 0.623653i | \(0.785648\pi\) | |||||||
\(522\) | 16.2554i | 0.711478i | ||||||||
\(523\) | −3.05155 | − | 3.05155i | −0.133435 | − | 0.133435i | 0.637235 | − | 0.770670i | \(-0.280078\pi\) |
−0.770670 | + | 0.637235i | \(0.780078\pi\) | |||||||
\(524\) | −37.4772 | −1.63720 | ||||||||
\(525\) | 0.323276 | − | 0.652910i | 0.0141089 | − | 0.0284953i | ||||
\(526\) | 39.0625 | − | 39.0625i | 1.70321 | − | 1.70321i | ||||
\(527\) | −2.41030 | −0.104994 | ||||||||
\(528\) | 26.8432i | 1.16820i | ||||||||
\(529\) | 12.6783i | 0.551229i | ||||||||
\(530\) | −29.6955 | + | 4.87842i | −1.28989 | + | 0.211905i | ||||
\(531\) | −1.19714 | − | 1.19714i | −0.0519514 | − | 0.0519514i | ||||
\(532\) | 2.77630 | + | 2.77630i | 0.120368 | + | 0.120368i | ||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 1.95589i | 0.0846398i | ||||||||
\(535\) | −16.3370 | + | 2.68386i | −0.706310 | + | 0.116034i | ||||
\(536\) | −1.15541 | −0.0499063 | ||||||||
\(537\) | −19.4645 | − | 19.4645i | −0.839955 | − | 0.839955i | ||||
\(538\) | 27.9987 | 1.20711 | ||||||||
\(539\) | −9.15481 | − | 9.15481i | −0.394326 | − | 0.394326i | ||||
\(540\) | −62.0453 | + | 10.1929i | −2.67001 | + | 0.438632i | ||||
\(541\) | −5.42748 | − | 5.42748i | −0.233345 | − | 0.233345i | 0.580742 | − | 0.814088i | \(-0.302762\pi\) |
−0.814088 | + | 0.580742i | \(0.802762\pi\) | |||||||
\(542\) | −14.8216 | + | 14.8216i | −0.636641 | + | 0.636641i | ||||
\(543\) | 20.6591 | − | 20.6591i | 0.886569 | − | 0.886569i | ||||
\(544\) | 26.2255 | − | 26.2255i | 1.12441 | − | 1.12441i | ||||
\(545\) | 1.71498 | + | 10.4393i | 0.0734616 | + | 0.447170i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 11.6940 | − | 11.6940i | 0.500000 | − | 0.500000i | −0.411438 | − | 0.911438i | \(-0.634973\pi\) |
0.911438 | + | 0.411438i | \(0.134973\pi\) | |||||||
\(548\) | 92.8131 | 3.96478 | ||||||||
\(549\) | 3.66765i | 0.156531i | ||||||||
\(550\) | 21.9996 | + | 10.8927i | 0.938065 | + | 0.464464i | ||||
\(551\) | 22.9093 | − | 22.9093i | 0.975971 | − | 0.975971i | ||||
\(552\) | 33.3573i | 1.41978i | ||||||||
\(553\) | 1.70420i | 0.0724700i | ||||||||
\(554\) | −19.1378 | + | 19.1378i | −0.813087 | + | 0.813087i | ||||
\(555\) | 0.693384 | + | 4.22071i | 0.0294325 | + | 0.179159i | ||||
\(556\) | − | 54.7829i | − | 2.32331i | ||||||
\(557\) | −4.87503 | −0.206562 | −0.103281 | − | 0.994652i | \(-0.532934\pi\) | ||||
−0.103281 | + | 0.994652i | \(0.532934\pi\) | |||||||
\(558\) | 2.18031 | − | 2.18031i | 0.0922998 | − | 0.0922998i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −2.27963 | − | 1.63632i | −0.0963321 | − | 0.0691470i | ||||
\(561\) | −4.63853 | + | 4.63853i | −0.195839 | + | 0.195839i | ||||
\(562\) | 33.0590 | − | 33.0590i | 1.39451 | − | 1.39451i | ||||
\(563\) | −27.5537 | + | 27.5537i | −1.16125 | + | 1.16125i | −0.177047 | + | 0.984202i | \(0.556654\pi\) |
−0.984202 | + | 0.177047i | \(0.943346\pi\) | |||||||
\(564\) | 1.58913 | + | 1.58913i | 0.0669146 | + | 0.0669146i | ||||
\(565\) | 2.21669 | + | 13.4932i | 0.0932568 | + | 0.567665i | ||||
\(566\) | −15.4885 | − | 15.4885i | −0.651031 | − | 0.651031i | ||||
\(567\) | −0.371828 | −0.0156153 | ||||||||
\(568\) | −30.9846 | − | 30.9846i | −1.30009 | − | 1.30009i | ||||
\(569\) | −3.68208 | −0.154361 | −0.0771804 | − | 0.997017i | \(-0.524592\pi\) | ||||
−0.0771804 | + | 0.997017i | \(0.524592\pi\) | |||||||
\(570\) | 43.4500 | + | 31.1883i | 1.81992 | + | 1.30633i | ||||
\(571\) | − | 2.96698i | − | 0.124164i | −0.998071 | − | 0.0620821i | \(-0.980226\pi\) | ||
0.998071 | − | 0.0620821i | \(-0.0197741\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 17.9811 | + | 17.9811i | 0.751170 | + | 0.751170i | ||||
\(574\) | 1.14209 | + | 1.14209i | 0.0476699 | + | 0.0476699i | ||||
\(575\) | 14.3958 | + | 7.12778i | 0.600345 | + | 0.297249i | ||||
\(576\) | 18.0049i | 0.750204i | ||||||||
\(577\) | 35.0533i | 1.45929i | 0.683827 | + | 0.729644i | \(0.260314\pi\) | ||||
−0.683827 | + | 0.729644i | \(0.739686\pi\) | |||||||
\(578\) | −25.3017 | −1.05241 | ||||||||
\(579\) | −15.3265 | + | 15.3265i | −0.636948 | + | 0.636948i | ||||
\(580\) | −30.4771 | + | 42.4591i | −1.26549 | + | 1.76302i | ||||
\(581\) | −0.959287 | −0.0397979 | ||||||||
\(582\) | 36.3648 | + | 36.3648i | 1.50737 | + | 1.50737i | ||||
\(583\) | − | 9.41095i | − | 0.389762i | ||||||
\(584\) | −72.5469 | −3.00201 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 16.9010 | 0.698173 | ||||||||
\(587\) | − | 7.05437i | − | 0.291165i | −0.989346 | − | 0.145583i | \(-0.953494\pi\) | ||
0.989346 | − | 0.145583i | \(-0.0465056\pi\) | |||||||
\(588\) | 32.1763 | + | 32.1763i | 1.32693 | + | 1.32693i | ||||
\(589\) | −6.14559 | −0.253225 | ||||||||
\(590\) | −1.23391 | − | 7.51095i | −0.0507992 | − | 0.309221i | ||||
\(591\) | −13.9273 | + | 13.9273i | −0.572892 | + | 0.572892i | ||||
\(592\) | 16.4744 | 0.677092 | ||||||||
\(593\) | 40.0169i | 1.64330i | 0.569993 | + | 0.821649i | \(0.306946\pi\) | ||||
−0.569993 | + | 0.821649i | \(0.693054\pi\) | |||||||
\(594\) | − | 27.4951i | − | 1.12814i | ||||||
\(595\) | −0.111166 | − | 0.676680i | −0.00455735 | − | 0.0277412i | ||||
\(596\) | 49.4275 | + | 49.4275i | 2.02463 | + | 2.02463i | ||||
\(597\) | 12.7909 | + | 12.7909i | 0.523495 | + | 0.523495i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − | 13.9207i | − | 0.568784i | −0.958708 | − | 0.284392i | \(-0.908208\pi\) | ||
0.958708 | − | 0.284392i | \(-0.0917918\pi\) | |||||||
\(600\) | −46.5236 | − | 23.0352i | −1.89932 | − | 0.940410i | ||||
\(601\) | −2.31378 | −0.0943812 | −0.0471906 | − | 0.998886i | \(-0.515027\pi\) | ||||
−0.0471906 | + | 0.998886i | \(0.515027\pi\) | |||||||
\(602\) | 0.820311 | + | 0.820311i | 0.0334334 | + | 0.0334334i | ||||
\(603\) | 0.190206 | 0.00774580 | ||||||||
\(604\) | 42.6597 | + | 42.6597i | 1.73580 | + | 1.73580i | ||||
\(605\) | 9.86641 | − | 13.7454i | 0.401127 | − | 0.558829i | ||||
\(606\) | 20.1954 | + | 20.1954i | 0.820381 | + | 0.820381i | ||||
\(607\) | 16.6882 | − | 16.6882i | 0.677353 | − | 0.677353i | −0.282047 | − | 0.959400i | \(-0.591014\pi\) |
0.959400 | + | 0.282047i | \(0.0910135\pi\) | |||||||
\(608\) | 66.8679 | − | 66.8679i | 2.71185 | − | 2.71185i | ||||
\(609\) | −0.479621 | + | 0.479621i | −0.0194352 | + | 0.0194352i | ||||
\(610\) | −9.61542 | + | 13.3957i | −0.389317 | + | 0.542377i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −12.7726 | + | 12.7726i | −0.516303 | + | 0.516303i | ||||
\(613\) | −10.6593 | −0.430524 | −0.215262 | − | 0.976556i | \(-0.569061\pi\) | ||||
−0.215262 | + | 0.976556i | \(0.569061\pi\) | |||||||
\(614\) | 70.3403i | 2.83871i | ||||||||
\(615\) | 12.7826 | + | 9.17533i | 0.515445 | + | 0.369985i | ||||
\(616\) | 1.17838 | − | 1.17838i | 0.0474783 | − | 0.0474783i | ||||
\(617\) | 13.7284i | 0.552685i | 0.961059 | + | 0.276343i | \(0.0891224\pi\) | ||||
−0.961059 | + | 0.276343i | \(0.910878\pi\) | |||||||
\(618\) | 37.5661i | 1.51113i | ||||||||
\(619\) | 16.8604 | − | 16.8604i | 0.677679 | − | 0.677679i | −0.281796 | − | 0.959474i | \(-0.590930\pi\) |
0.959474 | + | 0.281796i | \(0.0909301\pi\) | |||||||
\(620\) | 9.78283 | − | 1.60714i | 0.392888 | − | 0.0645441i | ||||
\(621\) | − | 17.9918i | − | 0.721988i | ||||||
\(622\) | −9.39119 | −0.376552 | ||||||||
\(623\) | 0.0452127 | − | 0.0452127i | 0.00181141 | − | 0.00181141i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.8823 | + | 15.1557i | −0.795292 | + | 0.606227i | ||||
\(626\) | −16.4573 | + | 16.4573i | −0.657766 | + | 0.657766i | ||||
\(627\) | −11.8270 | + | 11.8270i | −0.472324 | + | 0.472324i | ||||
\(628\) | 25.8336 | − | 25.8336i | 1.03087 | − | 1.03087i | ||||
\(629\) | 2.84678 | + | 2.84678i | 0.113509 | + | 0.113509i | ||||
\(630\) | 0.712670 | + | 0.511553i | 0.0283935 | + | 0.0203808i | ||||
\(631\) | −21.6345 | − | 21.6345i | −0.861257 | − | 0.861257i | 0.130227 | − | 0.991484i | \(-0.458429\pi\) |
−0.991484 | + | 0.130227i | \(0.958429\pi\) | |||||||
\(632\) | 121.434 | 4.83038 | ||||||||
\(633\) | −21.6601 | − | 21.6601i | −0.860911 | − | 0.860911i | ||||
\(634\) | 22.5974 | 0.897459 | ||||||||
\(635\) | −4.22953 | − | 25.7457i | −0.167844 | − | 1.02169i | ||||
\(636\) | 33.0766i | 1.31157i | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −16.1607 | − | 16.1607i | −0.639807 | − | 0.639807i | ||||
\(639\) | 5.10075 | + | 5.10075i | 0.201783 | + | 0.201783i | ||||
\(640\) | −11.7707 | + | 16.3984i | −0.465279 | + | 0.648204i | ||||
\(641\) | 15.2991i | 0.604280i | 0.953264 | + | 0.302140i | \(0.0977010\pi\) | ||||
−0.953264 | + | 0.302140i | \(0.902299\pi\) | |||||||
\(642\) | 25.4452i | 1.00424i | ||||||||
\(643\) | 22.3480 | 0.881319 | 0.440660 | − | 0.897674i | \(-0.354745\pi\) | ||||
0.440660 | + | 0.897674i | \(0.354745\pi\) | |||||||
\(644\) | 1.28154 | − | 1.28154i | 0.0504999 | − | 0.0504999i | ||||
\(645\) | 9.18116 | + | 6.59022i | 0.361508 | + | 0.259490i | ||||
\(646\) | 50.3420 | 1.98068 | ||||||||
\(647\) | 3.30644 | + | 3.30644i | 0.129990 | + | 0.129990i | 0.769108 | − | 0.639119i | \(-0.220701\pi\) |
−0.639119 | + | 0.769108i | \(0.720701\pi\) | |||||||
\(648\) | 26.4949i | 1.04082i | ||||||||
\(649\) | 2.38033 | 0.0934361 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.128662 | 0.00504265 | ||||||||
\(652\) | 103.022i | 4.03466i | ||||||||
\(653\) | 17.3287 | + | 17.3287i | 0.678124 | + | 0.678124i | 0.959575 | − | 0.281451i | \(-0.0908158\pi\) |
−0.281451 | + | 0.959575i | \(0.590816\pi\) | |||||||
\(654\) | 16.2594 | 0.635792 | ||||||||
\(655\) | 13.5583 | + | 9.73212i | 0.529766 | + | 0.380265i | ||||
\(656\) | 42.8533 | − | 42.8533i | 1.67314 | − | 1.67314i | ||||
\(657\) | 11.9428 | 0.465934 | ||||||||
\(658\) | − | 0.102733i | − | 0.00400494i | ||||||
\(659\) | − | 40.7382i | − | 1.58693i | −0.608613 | − | 0.793467i | \(-0.708274\pi\) | ||
0.608613 | − | 0.793467i | \(-0.291726\pi\) | |||||||
\(660\) | 15.7338 | − | 21.9196i | 0.612439 | − | 0.853219i | ||||
\(661\) | 12.0900 | + | 12.0900i | 0.470245 | + | 0.470245i | 0.901994 | − | 0.431749i | \(-0.142103\pi\) |
−0.431749 | + | 0.901994i | \(0.642103\pi\) | |||||||
\(662\) | −33.7389 | − | 33.7389i | −1.31130 | − | 1.31130i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 68.3547i | 2.65268i | ||||||||
\(665\) | −0.283442 | − | 1.72535i | −0.0109914 | − | 0.0669061i | ||||
\(666\) | −5.15030 | −0.199570 | ||||||||
\(667\) | −10.5750 | − | 10.5750i | −0.409465 | − | 0.409465i | ||||
\(668\) | 12.7589 | 0.493657 | ||||||||
\(669\) | 8.92003 | + | 8.92003i | 0.344868 | + | 0.344868i | ||||
\(670\) | 0.694709 | + | 0.498661i | 0.0268390 | + | 0.0192650i | ||||
\(671\) | −3.64628 | − | 3.64628i | −0.140763 | − | 0.140763i | ||||
\(672\) | −1.39992 | + | 1.39992i | −0.0540031 | + | 0.0540031i | ||||
\(673\) | 16.8402 | − | 16.8402i | 0.649140 | − | 0.649140i | −0.303645 | − | 0.952785i | \(-0.598204\pi\) |
0.952785 | + | 0.303645i | \(0.0982037\pi\) | |||||||
\(674\) | −53.2242 | + | 53.2242i | −2.05012 | + | 2.05012i | ||||
\(675\) | 25.0933 | + | 12.4245i | 0.965842 | + | 0.478218i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 26.1344 | − | 26.1344i | 1.00443 | − | 1.00443i | 0.00443504 | − | 0.999990i | \(-0.498588\pi\) |
0.999990 | − | 0.00443504i | \(-0.00141172\pi\) | |||||||
\(678\) | 21.0160 | 0.807114 | ||||||||
\(679\) | − | 1.68123i | − | 0.0645195i | ||||||
\(680\) | −48.2173 | + | 7.92120i | −1.84905 | + | 0.303764i | ||||
\(681\) | 8.41509 | − | 8.41509i | 0.322467 | − | 0.322467i | ||||
\(682\) | 4.33521i | 0.166004i | ||||||||
\(683\) | 26.7876i | 1.02500i | 0.858687 | + | 0.512500i | \(0.171280\pi\) | ||||
−0.858687 | + | 0.512500i | \(0.828720\pi\) | |||||||
\(684\) | −32.5667 | + | 32.5667i | −1.24522 | + | 1.24522i | ||||
\(685\) | −33.5774 | − | 24.1018i | −1.28293 | − | 0.920882i | ||||
\(686\) | − | 4.16397i | − | 0.158981i | ||||||
\(687\) | 22.9770 | 0.876628 | ||||||||
\(688\) | 30.7796 | − | 30.7796i | 1.17346 | − | 1.17346i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 14.3966 | − | 20.0566i | 0.548068 | − | 0.763541i | ||||
\(691\) | 28.5426 | − | 28.5426i | 1.08581 | − | 1.08581i | 0.0898576 | − | 0.995955i | \(-0.471359\pi\) |
0.995955 | − | 0.0898576i | \(-0.0286412\pi\) | |||||||
\(692\) | −0.280123 | + | 0.280123i | −0.0106487 | + | 0.0106487i | ||||
\(693\) | −0.193987 | + | 0.193987i | −0.00736896 | + | 0.00736896i | ||||
\(694\) | 13.4464 | + | 13.4464i | 0.510419 | + | 0.510419i | ||||
\(695\) | −14.2261 | + | 19.8190i | −0.539626 | + | 0.751779i | ||||
\(696\) | 34.1758 | + | 34.1758i | 1.29543 | + | 1.29543i | ||||
\(697\) | 14.8102 | 0.560976 | ||||||||
\(698\) | 6.84510 | + | 6.84510i | 0.259091 | + | 0.259091i | ||||
\(699\) | −21.7602 | −0.823047 | ||||||||
\(700\) | 0.902392 | + | 2.67236i | 0.0341072 | + | 0.101006i | ||||
\(701\) | − | 24.9781i | − | 0.943410i | −0.881756 | − | 0.471705i | \(-0.843639\pi\) | ||
0.881756 | − | 0.471705i | \(-0.156361\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 7.25852 | + | 7.25852i | 0.273760 | + | 0.273760i | ||||
\(704\) | −17.9000 | − | 17.9000i | −0.674632 | − | 0.674632i | ||||
\(705\) | −0.162240 | − | 0.987576i | −0.00611032 | − | 0.0371943i | ||||
\(706\) | − | 4.67220i | − | 0.175840i | ||||||
\(707\) | − | 0.933677i | − | 0.0351145i | ||||||
\(708\) | −8.36612 | −0.314418 | ||||||||
\(709\) | −7.21640 | + | 7.21640i | −0.271018 | + | 0.271018i | −0.829510 | − | 0.558492i | \(-0.811380\pi\) |
0.558492 | + | 0.829510i | \(0.311380\pi\) | |||||||
\(710\) | 5.25742 | + | 32.0025i | 0.197307 | + | 1.20103i | ||||
\(711\) | −19.9907 | −0.749710 | ||||||||
\(712\) | −3.22166 | − | 3.22166i | −0.120737 | − | 0.120737i | ||||
\(713\) | 2.83681i | 0.106240i | ||||||||
\(714\) | −1.05394 | −0.0394428 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 106.570 | 3.98272 | ||||||||
\(717\) | − | 33.4118i | − | 1.24779i | ||||||
\(718\) | −22.7354 | − | 22.7354i | −0.848479 | − | 0.848479i | ||||
\(719\) | 28.4233 | 1.06001 | 0.530005 | − | 0.847994i | \(-0.322190\pi\) | ||||
0.530005 | + | 0.847994i | \(0.322190\pi\) | |||||||
\(720\) | 19.1944 | − | 26.7407i | 0.715333 | − | 0.996566i | ||||
\(721\) | 0.868382 | − | 0.868382i | 0.0323402 | − | 0.0323402i | ||||
\(722\) | 78.0130 | 2.90334 | ||||||||
\(723\) | 7.09498i | 0.263865i | ||||||||
\(724\) | 113.111i | 4.20374i | ||||||||
\(725\) | 22.0517 | − | 7.44631i | 0.818978 | − | 0.276549i | ||||
\(726\) | −18.3879 | − | 18.3879i | −0.682439 | − | 0.682439i | ||||
\(727\) | −8.56116 | − | 8.56116i | −0.317516 | − | 0.317516i | 0.530296 | − | 0.847812i | \(-0.322081\pi\) |
−0.847812 | + | 0.530296i | \(0.822081\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | − | 26.1513i | − | 0.968566i | ||||||
\(730\) | 43.6199 | + | 31.3103i | 1.61445 | + | 1.15885i | ||||
\(731\) | 10.6375 | 0.393441 | ||||||||
\(732\) | 12.8156 | + | 12.8156i | 0.473676 | + | 0.473676i | ||||
\(733\) | −17.2200 | −0.636036 | −0.318018 | − | 0.948085i | \(-0.603017\pi\) | ||||
−0.318018 | + | 0.948085i | \(0.603017\pi\) | |||||||
\(734\) | 26.2521 | + | 26.2521i | 0.968982 | + | 0.968982i | ||||
\(735\) | −3.28499 | − | 19.9961i | −0.121169 | − | 0.737569i | ||||
\(736\) | −30.8663 | − | 30.8663i | −1.13775 | − | 1.13775i | ||||
\(737\) | −0.189098 | + | 0.189098i | −0.00696552 | + | 0.00696552i | ||||
\(738\) | −13.3970 | + | 13.3970i | −0.493151 | + | 0.493151i | ||||
\(739\) | 11.5296 | − | 11.5296i | 0.424124 | − | 0.424124i | −0.462497 | − | 0.886621i | \(-0.653046\pi\) |
0.886621 | + | 0.462497i | \(0.153046\pi\) | |||||||
\(740\) | −13.4526 | − | 9.65626i | −0.494528 | − | 0.354971i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.06915 | − | 1.06915i | 0.0392498 | − | 0.0392498i | ||||
\(743\) | −33.1199 | −1.21505 | −0.607525 | − | 0.794301i | \(-0.707837\pi\) | ||||
−0.607525 | + | 0.794301i | \(0.707837\pi\) | |||||||
\(744\) | − | 9.16789i | − | 0.336111i | ||||||
\(745\) | −5.04623 | − | 30.7170i | −0.184879 | − | 1.12538i | ||||
\(746\) | −54.1344 | + | 54.1344i | −1.98200 | + | 1.98200i | ||||
\(747\) | − | 11.2527i | − | 0.411714i | ||||||
\(748\) | − | 25.3965i | − | 0.928586i | ||||||
\(749\) | 0.588194 | − | 0.588194i | 0.0214921 | − | 0.0214921i | ||||
\(750\) | 18.0313 | + | 33.9292i | 0.658410 | + | 1.23892i | ||||
\(751\) | 21.9348i | 0.800411i | 0.916426 | + | 0.400205i | \(0.131061\pi\) | ||||
−0.916426 | + | 0.400205i | \(0.868939\pi\) | |||||||
\(752\) | −3.85472 | −0.140567 | ||||||||
\(753\) | 11.9843 | − | 11.9843i | 0.436732 | − | 0.436732i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −4.35528 | − | 26.5111i | −0.158505 | − | 0.964838i | ||||
\(756\) | 2.23387 | − | 2.23387i | 0.0812449 | − | 0.0812449i | ||||
\(757\) | 2.08399 | − | 2.08399i | 0.0757437 | − | 0.0757437i | −0.668220 | − | 0.743964i | \(-0.732944\pi\) |
0.743964 | + | 0.668220i | \(0.232944\pi\) | |||||||
\(758\) | 17.7563 | − | 17.7563i | 0.644938 | − | 0.644938i | ||||
\(759\) | 5.45935 | + | 5.45935i | 0.198162 | + | 0.198162i | ||||
\(760\) | −122.941 | + | 20.1969i | −4.45953 | + | 0.732618i | ||||
\(761\) | 15.5835 | + | 15.5835i | 0.564901 | + | 0.564901i | 0.930696 | − | 0.365794i | \(-0.119203\pi\) |
−0.365794 | + | 0.930696i | \(0.619203\pi\) | |||||||
\(762\) | −40.0993 | −1.45265 | ||||||||
\(763\) | −0.375854 | − | 0.375854i | −0.0136068 | − | 0.0136068i | ||||
\(764\) | −98.4482 | −3.56173 | ||||||||
\(765\) | 7.93762 | − | 1.30400i | 0.286985 | − | 0.0471463i | ||||
\(766\) | 55.8361i | 2.01744i | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | −3.12197 | − | 3.12197i | −0.112654 | − | 0.112654i | ||||
\(769\) | −14.9366 | − | 14.9366i | −0.538628 | − | 0.538628i | 0.384498 | − | 0.923126i | \(-0.374375\pi\) |
−0.923126 | + | 0.384498i | \(0.874375\pi\) | |||||||
\(770\) | −1.21709 | + | 0.199945i | −0.0438609 | + | 0.00720553i | ||||
\(771\) | 22.6303i | 0.815011i | ||||||||
\(772\) | − | 83.9143i | − | 3.02014i | ||||||
\(773\) | 18.6956 | 0.672435 | 0.336217 | − | 0.941784i | \(-0.390852\pi\) | ||||
0.336217 | + | 0.941784i | \(0.390852\pi\) | |||||||
\(774\) | −9.62245 | + | 9.62245i | −0.345872 | + | 0.345872i | ||||
\(775\) | −3.95652 | − | 1.95899i | −0.142122 | − | 0.0703691i | ||||
\(776\) | −119.797 | −4.30046 | ||||||||
\(777\) | −0.151962 | − | 0.151962i | −0.00545159 | − | 0.00545159i | ||||
\(778\) | − | 0.160259i | − | 0.00574555i | ||||||
\(779\) | 37.7619 | 1.35296 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −10.1421 | −0.362912 | ||||||||
\(782\) | − | 23.2379i | − | 0.830987i | ||||||
\(783\) | −18.4333 | − | 18.4333i | −0.658752 | − | 0.658752i | ||||
\(784\) | −78.0493 | −2.78747 | ||||||||
\(785\) | −16.0544 | + | 2.63744i | −0.573008 | + | 0.0941344i | ||||
\(786\) | 18.1376 | − | 18.1376i | 0.646947 | − | 0.646947i | ||||
\(787\) | −43.3231 | −1.54430 | −0.772150 | − | 0.635440i | \(-0.780819\pi\) | ||||
−0.772150 | + | 0.635440i | \(0.780819\pi\) | |||||||
\(788\) | − | 76.2534i | − | 2.71642i | ||||||
\(789\) | 27.0396i | 0.962634i | ||||||||
\(790\) | −73.0140 | − | 52.4093i | −2.59772 | − | 1.86464i | ||||
\(791\) | −0.485808 | − | 0.485808i | −0.0172733 | − | 0.0172733i | ||||
\(792\) | 13.8227 | + | 13.8227i | 0.491168 | + | 0.491168i | ||||
\(793\) | 0 | 0 | ||||||||
\(794\) | − | 21.7710i | − | 0.772625i | ||||||
\(795\) | 8.58935 | − | 11.9663i | 0.304633 | − | 0.424399i | ||||
\(796\) | −70.0314 | −2.48220 | ||||||||
\(797\) | 24.8641 | + | 24.8641i | 0.880731 | + | 0.880731i | 0.993609 | − | 0.112877i | \(-0.0360067\pi\) |
−0.112877 | + | 0.993609i | \(0.536007\pi\) | |||||||
\(798\) | −2.68726 | −0.0951280 | ||||||||
\(799\) | −0.666099 | − | 0.666099i | −0.0235649 | − | 0.0235649i | ||||
\(800\) | 64.3644 | − | 21.7343i | 2.27563 | − | 0.768424i | ||||
\(801\) | 0.530356 | + | 0.530356i | 0.0187392 | + | 0.0187392i | ||||
\(802\) | −16.8606 | + | 16.8606i | −0.595367 | + | 0.595367i | ||||
\(803\) | −11.8732 | + | 11.8732i | −0.418997 | + | 0.418997i | ||||
\(804\) | 0.664622 | − | 0.664622i | 0.0234394 | − | 0.0234394i | ||||
\(805\) | −0.796423 | + | 0.130837i | −0.0280702 | + | 0.00461141i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −9.69052 | + | 9.69052i | −0.341122 | + | 0.341122i | ||||
\(808\) | −66.5298 | −2.34051 | ||||||||
\(809\) | − | 20.6437i | − | 0.725792i | −0.931830 | − | 0.362896i | \(-0.881788\pi\) | ||
0.931830 | − | 0.362896i | \(-0.118212\pi\) | |||||||
\(810\) | 11.4348 | − | 15.9304i | 0.401779 | − | 0.559738i | ||||
\(811\) | −22.0471 | + | 22.0471i | −0.774178 | + | 0.774178i | −0.978834 | − | 0.204656i | \(-0.934392\pi\) |
0.204656 | + | 0.978834i | \(0.434392\pi\) | |||||||
\(812\) | − | 2.62598i | − | 0.0921538i | ||||||
\(813\) | − | 10.2597i | − | 0.359823i | ||||||
\(814\) | 5.12029 | − | 5.12029i | 0.179466 | − | 0.179466i | ||||
\(815\) | 26.7529 | − | 37.2708i | 0.937114 | − | 1.30554i | ||||
\(816\) | 39.5458i | 1.38438i | ||||||||
\(817\) | 27.1226 | 0.948901 | ||||||||
\(818\) | −67.1180 | + | 67.1180i | −2.34672 | + | 2.34672i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −60.1111 | + | 9.87512i | −2.09917 | + | 0.344854i | ||||
\(821\) | −25.9495 | + | 25.9495i | −0.905644 | + | 0.905644i | −0.995917 | − | 0.0902727i | \(-0.971226\pi\) |
0.0902727 | + | 0.995917i | \(0.471226\pi\) | |||||||
\(822\) | −44.9182 | + | 44.9182i | −1.56670 | + | 1.56670i | ||||
\(823\) | 16.6935 | − | 16.6935i | 0.581899 | − | 0.581899i | −0.353526 | − | 0.935425i | \(-0.615017\pi\) |
0.935425 | + | 0.353526i | \(0.115017\pi\) | |||||||
\(824\) | −61.8772 | − | 61.8772i | −2.15559 | − | 2.15559i | ||||
\(825\) | −11.3842 | + | 3.84417i | −0.396347 | + | 0.133837i | ||||
\(826\) | 0.270423 | + | 0.270423i | 0.00940921 | + | 0.00940921i | ||||
\(827\) | −4.44429 | −0.154543 | −0.0772716 | − | 0.997010i | \(-0.524621\pi\) | ||||
−0.0772716 | + | 0.997010i | \(0.524621\pi\) | |||||||
\(828\) | 15.0328 | + | 15.0328i | 0.522427 | + | 0.522427i | ||||
\(829\) | 29.3369 | 1.01891 | 0.509457 | − | 0.860496i | \(-0.329846\pi\) | ||||
0.509457 | + | 0.860496i | \(0.329846\pi\) | |||||||
\(830\) | 29.5010 | − | 41.0993i | 1.02399 | − | 1.42658i | ||||
\(831\) | − | 13.2474i | − | 0.459548i | ||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −13.4870 | − | 13.4870i | −0.467296 | − | 0.467296i | ||||
\(834\) | 26.5129 | + | 26.5129i | 0.918068 | + | 0.918068i | ||||
\(835\) | −4.61585 | − | 3.31324i | −0.159738 | − | 0.114660i | ||||
\(836\) | − | 64.7540i | − | 2.23956i | ||||||
\(837\) | 4.94486i | 0.170919i | ||||||||
\(838\) | −34.6607 | −1.19734 | ||||||||
\(839\) | −6.00111 | + | 6.00111i | −0.207181 | + | 0.207181i | −0.803068 | − | 0.595887i | \(-0.796801\pi\) |
0.595887 | + | 0.803068i | \(0.296801\pi\) | |||||||
\(840\) | 2.57384 | − | 0.422834i | 0.0888061 | − | 0.0145892i | ||||
\(841\) | 7.33109 | 0.252796 | ||||||||
\(842\) | 36.5466 | + | 36.5466i | 1.25948 | + | 1.25948i | ||||
\(843\) | 22.8838i | 0.788162i | ||||||||
\(844\) | 118.591 | 4.08208 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 1.20508 | 0.0414316 | ||||||||
\(847\) | 0.850114i | 0.0292103i | ||||||||
\(848\) | −40.1165 | − | 40.1165i | −1.37761 | − | 1.37761i | ||||
\(849\) | 10.7213 | 0.367955 | ||||||||
\(850\) | 32.4101 | + | 16.0472i | 1.11166 | + | 0.550415i | ||||
\(851\) | 3.35054 | − | 3.35054i | 0.114855 | − | 0.114855i | ||||
\(852\) | 35.6462 | 1.22122 | ||||||||
\(853\) | − | 34.3415i | − | 1.17583i | −0.808923 | − | 0.587915i | \(-0.799949\pi\) | ||
0.808923 | − | 0.587915i | \(-0.200051\pi\) | |||||||
\(854\) | − | 0.828488i | − | 0.0283503i | ||||||
\(855\) | 20.2388 | − | 3.32485i | 0.692151 | − | 0.113707i | ||||
\(856\) | −41.9122 | − | 41.9122i | −1.43253 | − | 1.43253i | ||||
\(857\) | 24.6090 | + | 24.6090i | 0.840626 | + | 0.840626i | 0.988940 | − | 0.148314i | \(-0.0473847\pi\) |
−0.148314 | + | 0.988940i | \(0.547385\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 12.8606i | 0.438798i | 0.975635 | + | 0.219399i | \(0.0704097\pi\) | ||||
−0.975635 | + | 0.219399i | \(0.929590\pi\) | |||||||
\(860\) | −43.1750 | + | 7.09284i | −1.47226 | + | 0.241864i | ||||
\(861\) | −0.790569 | −0.0269425 | ||||||||
\(862\) | 41.6308 | + | 41.6308i | 1.41795 | + | 1.41795i | ||||
\(863\) | −2.75373 | −0.0937379 | −0.0468690 | − | 0.998901i | \(-0.514924\pi\) | ||||
−0.0468690 | + | 0.998901i | \(0.514924\pi\) | |||||||
\(864\) | −53.8032 | − | 53.8032i | −1.83042 | − | 1.83042i | ||||
\(865\) | 0.174084 | − | 0.0285987i | 0.00591903 | − | 0.000972386i | ||||
\(866\) | −0.343907 | − | 0.343907i | −0.0116864 | − | 0.0116864i | ||||
\(867\) | 8.75709 | − | 8.75709i | 0.297406 | − | 0.297406i | ||||
\(868\) | −0.352219 | + | 0.352219i | −0.0119551 | + | 0.0119551i | ||||
\(869\) | 19.8742 | − | 19.8742i | 0.674187 | − | 0.674187i | ||||
\(870\) | −5.79888 | − | 35.2985i | −0.196601 | − | 1.19673i | ||||
\(871\) | 0 | 0 | ||||||||
\(872\) | −26.7817 | + | 26.7817i | −0.906944 | + | 0.906944i | ||||
\(873\) | 19.7212 | 0.667462 | ||||||||
\(874\) | − | 59.2504i | − | 2.00417i | ||||||
\(875\) | 0.367499 | − | 1.20113i | 0.0124237 | − | 0.0406055i | ||||
\(876\) | 41.7308 | − | 41.7308i | 1.40995 | − | 1.40995i | ||||
\(877\) | 47.2631i | 1.59596i | 0.602683 | + | 0.797981i | \(0.294098\pi\) | ||||
−0.602683 | + | 0.797981i | \(0.705902\pi\) | |||||||
\(878\) | − | 45.8239i | − | 1.54648i | ||||||
\(879\) | −5.84953 | + | 5.84953i | −0.197300 | + | 0.197300i | ||||
\(880\) | 7.50231 | + | 45.6675i | 0.252903 | + | 1.53945i | ||||
\(881\) | 41.3214i | 1.39215i | 0.717967 | + | 0.696077i | \(0.245073\pi\) | ||||
−0.717967 | + | 0.696077i | \(0.754927\pi\) | |||||||
\(882\) | 24.4001 | 0.821596 | ||||||||
\(883\) | 13.4808 | − | 13.4808i | 0.453666 | − | 0.453666i | −0.442903 | − | 0.896569i | \(-0.646051\pi\) |
0.896569 | + | 0.442903i | \(0.146051\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 3.02665 | + | 2.17252i | 0.101740 | + | 0.0730285i | ||||
\(886\) | 64.7790 | − | 64.7790i | 2.17629 | − | 2.17629i | ||||
\(887\) | 16.2104 | − | 16.2104i | 0.544292 | − | 0.544292i | −0.380492 | − | 0.924784i | \(-0.624246\pi\) |
0.924784 | + | 0.380492i | \(0.124246\pi\) | |||||||
\(888\) | −10.8281 | + | 10.8281i | −0.363368 | + | 0.363368i | ||||
\(889\) | 0.926941 | + | 0.926941i | 0.0310886 | + | 0.0310886i | ||||
\(890\) | 0.546646 | + | 3.32750i | 0.0183236 | + | 0.111538i | ||||
\(891\) | 4.33622 | + | 4.33622i | 0.145269 | + | 0.145269i | ||||
\(892\) | −48.8381 | −1.63522 | ||||||||
\(893\) | −1.69837 | − | 1.69837i | −0.0568338 | − | 0.0568338i | ||||
\(894\) | −47.8423 | −1.60008 | ||||||||
\(895\) | −38.5544 | − | 27.6743i | −1.28873 | − | 0.925048i | ||||
\(896\) | − | 1.01420i | − | 0.0338819i | ||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −69.6712 | − | 69.6712i | −2.32496 | − | 2.32496i | ||||
\(899\) | 2.90642 | + | 2.90642i | 0.0969345 | + | 0.0969345i | ||||
\(900\) | −31.3475 | + | 10.5853i | −1.04492 | + | 0.352843i | ||||
\(901\) | − | 13.8643i | − | 0.461888i | ||||||
\(902\) | − | 26.6379i | − | 0.886946i | ||||||
\(903\) | −0.567829 | −0.0188962 | ||||||||
\(904\) | −34.6166 | + | 34.6166i | −1.15133 | + | 1.15133i | ||||
\(905\) | 29.3728 | − | 40.9207i | 0.976384 | − | 1.36025i | ||||
\(906\) | −41.2916 | −1.37182 | ||||||||
\(907\) | −17.0541 | − | 17.0541i | −0.566271 | − | 0.566271i | 0.364811 | − | 0.931082i | \(-0.381134\pi\) |
−0.931082 | + | 0.364811i | \(0.881134\pi\) | |||||||
\(908\) | 46.0735i | 1.52900i | ||||||||
\(909\) | 10.9523 | 0.363264 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 58.5135 | 1.93864 | 0.969320 | − | 0.245803i | \(-0.0790515\pi\) | ||||
0.969320 | + | 0.245803i | \(0.0790515\pi\) | |||||||
\(912\) | 100.831i | 3.33884i | ||||||||
\(913\) | 11.1871 | + | 11.1871i | 0.370240 | + | 0.370240i | ||||
\(914\) | −24.9790 | −0.826231 | ||||||||
\(915\) | −1.30838 | − | 7.96429i | −0.0432538 | − | 0.263291i | ||||
\(916\) | −62.9008 | + | 62.9008i | −2.07830 | + | 2.07830i | ||||
\(917\) | −0.838543 | −0.0276911 | ||||||||
\(918\) | − | 40.5061i | − | 1.33690i | ||||||
\(919\) | − | 44.8545i | − | 1.47961i | −0.672820 | − | 0.739806i | \(-0.734917\pi\) | ||
0.672820 | − | 0.739806i | \(-0.265083\pi\) | |||||||
\(920\) | 9.32291 | + | 56.7497i | 0.307367 | + | 1.87098i | ||||
\(921\) | −24.3452 | − | 24.3452i | −0.802202 | − | 0.802202i | ||||
\(922\) | 61.6169 | + | 61.6169i | 2.02924 | + | 2.02924i | ||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 1.35567i | 0.0445981i | ||||||||
\(925\) | 2.35926 | + | 6.98677i | 0.0775721 | + | 0.229724i | ||||
\(926\) | 49.4787 | 1.62597 | ||||||||
\(927\) | 10.1863 | + | 10.1863i | 0.334563 | + | 0.334563i | ||||
\(928\) | −63.2473 | −2.07619 | ||||||||
\(929\) | 19.8452 | + | 19.8452i | 0.651099 | + | 0.651099i | 0.953258 | − | 0.302158i | \(-0.0977072\pi\) |
−0.302158 | + | 0.953258i | \(0.597707\pi\) | |||||||
\(930\) | −3.95674 | + | 5.51233i | −0.129747 | + | 0.180756i | ||||
\(931\) | −34.3881 | − | 34.3881i | −1.12702 | − | 1.12702i | ||||
\(932\) | 59.5698 | − | 59.5698i | 1.95127 | − | 1.95127i | ||||
\(933\) | 3.25035 | − | 3.25035i | 0.106412 | − | 0.106412i | ||||
\(934\) | −32.2416 | + | 32.2416i | −1.05498 | + | 1.05498i | ||||
\(935\) | −6.59497 | + | 9.18779i | −0.215679 | + | 0.300473i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 20.7545 | − | 20.7545i | 0.678019 | − | 0.678019i | −0.281533 | − | 0.959552i | \(-0.590843\pi\) |
0.959552 | + | 0.281533i | \(0.0908428\pi\) | |||||||
\(938\) | −0.0429658 | −0.00140288 | ||||||||
\(939\) | − | 11.3919i | − | 0.371762i | ||||||
\(940\) | 3.14768 | + | 2.25940i | 0.102666 | + | 0.0736935i | ||||
\(941\) | −6.70533 | + | 6.70533i | −0.218588 | + | 0.218588i | −0.807903 | − | 0.589315i | \(-0.799398\pi\) |
0.589315 | + | 0.807903i | \(0.299398\pi\) | |||||||
\(942\) | 25.0051i | 0.814710i | ||||||||
\(943\) | − | 17.4309i | − | 0.567630i | ||||||
\(944\) | 10.1467 | − | 10.1467i | 0.330249 | − | 0.330249i | ||||
\(945\) | −1.38825 | + | 0.228063i | −0.0451597 | + | 0.00741889i | ||||
\(946\) | − | 19.1328i | − | 0.622061i | ||||||
\(947\) | 4.51085 | 0.146583 | 0.0732915 | − | 0.997311i | \(-0.476650\pi\) | ||||
0.0732915 | + | 0.997311i | \(0.476650\pi\) | |||||||
\(948\) | −69.8518 | + | 69.8518i | −2.26868 | + | 2.26868i | ||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 82.6367 | + | 40.9160i | 2.68109 | + | 1.32749i | ||||
\(951\) | −7.82111 | + | 7.82111i | −0.253617 | + | 0.253617i | ||||
\(952\) | 1.73600 | − | 1.73600i | 0.0562642 | − | 0.0562642i | ||||
\(953\) | −4.06109 | + | 4.06109i | −0.131552 | + | 0.131552i | −0.769817 | − | 0.638265i | \(-0.779652\pi\) |
0.638265 | + | 0.769817i | \(0.279652\pi\) | |||||||
\(954\) | 12.5414 | + | 12.5414i | 0.406043 | + | 0.406043i | ||||
\(955\) | 35.6160 | + | 25.5651i | 1.15251 | + | 0.827268i | ||||
\(956\) | 91.4666 | + | 91.4666i | 2.95824 | + | 2.95824i | ||||
\(957\) | 11.1866 | 0.361612 | ||||||||
\(958\) | −61.7624 | − | 61.7624i | −1.99545 | − | 1.99545i | ||||
\(959\) | 2.07667 | 0.0670591 | ||||||||
\(960\) | −6.42300 | − | 39.0976i | −0.207302 | − | 1.26187i | ||||
\(961\) | 30.2203i | 0.974849i | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 6.89966 | + | 6.89966i | 0.222338 | + | 0.222338i | ||||
\(964\) | −19.4229 | − | 19.4229i | −0.625569 | − | 0.625569i | ||||
\(965\) | −21.7909 | + | 30.3581i | −0.701475 | + | 0.977260i | ||||
\(966\) | 1.24044i | 0.0399106i | ||||||||
\(967\) | 17.6414i | 0.567310i | 0.958926 | + | 0.283655i | \(0.0915470\pi\) | ||||
−0.958926 | + | 0.283655i | \(0.908453\pi\) | |||||||
\(968\) | 60.5755 | 1.94697 | ||||||||
\(969\) | −17.4237 | + | 17.4237i | −0.559729 | + | 0.559729i | ||||
\(970\) | 72.0297 | + | 51.7028i | 2.31273 | + | 1.66008i | ||||
\(971\) | 33.3973 | 1.07177 | 0.535886 | − | 0.844290i | \(-0.319978\pi\) | ||||
0.535886 | + | 0.844290i | \(0.319978\pi\) | |||||||
\(972\) | 44.4099 | + | 44.4099i | 1.42445 | + | 1.42445i | ||||
\(973\) | − | 1.22575i | − | 0.0392958i | ||||||
\(974\) | −87.4056 | −2.80065 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −31.0864 | −0.995050 | ||||||||
\(977\) | 15.3443i | 0.490909i | 0.969408 | + | 0.245454i | \(0.0789371\pi\) | ||||
−0.969408 | + | 0.245454i | \(0.921063\pi\) | |||||||
\(978\) | −49.8591 | − | 49.8591i | −1.59432 | − | 1.59432i | ||||
\(979\) | −1.05453 | −0.0337030 | ||||||||
\(980\) | 63.7334 | + | 45.7477i | 2.03589 | + | 1.46136i | ||||
\(981\) | 4.40886 | − | 4.40886i | 0.140764 | − | 0.140764i | ||||
\(982\) | −56.4286 | −1.80071 | ||||||||
\(983\) | − | 4.80751i | − | 0.153336i | −0.997057 | − | 0.0766679i | \(-0.975572\pi\) | ||
0.997057 | − | 0.0766679i | \(-0.0244281\pi\) | |||||||
\(984\) | 56.3325i | 1.79582i | ||||||||
\(985\) | −19.8016 | + | 27.5865i | −0.630930 | + | 0.878980i | ||||
\(986\) | −23.8081 | − | 23.8081i | −0.758205 | − | 0.758205i | ||||
\(987\) | 0.0355565 | + | 0.0355565i | 0.00113177 | + | 0.00113177i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | − | 12.5198i | − | 0.398108i | ||||||
\(990\) | −2.34541 | − | 14.2768i | −0.0745420 | − | 0.453746i | ||||
\(991\) | 0.439117 | 0.0139490 | 0.00697450 | − | 0.999976i | \(-0.497780\pi\) | ||||
0.00697450 | + | 0.999976i | \(0.497780\pi\) | |||||||
\(992\) | 8.48327 | + | 8.48327i | 0.269344 | + | 0.269344i | ||||
\(993\) | 23.3545 | 0.741131 | ||||||||
\(994\) | −1.15221 | − | 1.15221i | −0.0365459 | − | 0.0365459i | ||||
\(995\) | 25.3355 | + | 18.1858i | 0.803191 | + | 0.576529i | ||||
\(996\) | −39.3193 | − | 39.3193i | −1.24588 | − | 1.24588i | ||||
\(997\) | −4.64457 | + | 4.64457i | −0.147095 | + | 0.147095i | −0.776819 | − | 0.629724i | \(-0.783168\pi\) |
0.629724 | + | 0.776819i | \(0.283168\pi\) | |||||||
\(998\) | −39.5340 | + | 39.5340i | −1.25143 | + | 1.25143i | ||||
\(999\) | 5.84034 | − | 5.84034i | 0.184780 | − | 0.184780i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))