Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(5,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 25, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.bf (of order \(30\), degree \(8\), 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: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 5.8 | ||
Character | \(\chi\) | \(=\) | 462.5 |
Dual form | 462.2.bf.a.185.8 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.207912 | + | 0.978148i | −0.147016 | + | 0.691655i | ||||
\(3\) | −0.442840 | − | 1.67448i | −0.255674 | − | 0.966763i | ||||
\(4\) | −0.913545 | − | 0.406737i | −0.456773 | − | 0.203368i | ||||
\(5\) | −0.833125 | − | 0.925279i | −0.372585 | − | 0.413797i | 0.527470 | − | 0.849573i | \(-0.323141\pi\) |
−0.900055 | + | 0.435776i | \(0.856474\pi\) | |||||||
\(6\) | 1.72996 | − | 0.0850182i | 0.706254 | − | 0.0347086i | ||||
\(7\) | 0.162919 | − | 2.64073i | 0.0615774 | − | 0.998102i | ||||
\(8\) | 0.587785 | − | 0.809017i | 0.207813 | − | 0.286031i | ||||
\(9\) | −2.60779 | + | 1.48306i | −0.869262 | + | 0.494352i | ||||
\(10\) | 1.07828 | − | 0.622543i | 0.340981 | − | 0.196865i | ||||
\(11\) | −2.68990 | + | 1.94022i | −0.811036 | + | 0.584997i | ||||
\(12\) | −0.276519 | + | 1.70984i | −0.0798242 | + | 0.493587i | ||||
\(13\) | −0.204850 | + | 0.0665599i | −0.0568152 | + | 0.0184604i | −0.337287 | − | 0.941402i | \(-0.609509\pi\) |
0.280471 | + | 0.959862i | \(0.409509\pi\) | |||||||
\(14\) | 2.54915 | + | 0.708397i | 0.681289 | + | 0.189327i | ||||
\(15\) | −1.18042 | + | 1.80480i | −0.304784 | + | 0.465998i | ||||
\(16\) | 0.669131 | + | 0.743145i | 0.167283 | + | 0.185786i | ||||
\(17\) | −6.51226 | + | 1.38422i | −1.57945 | + | 0.335723i | −0.912405 | − | 0.409289i | \(-0.865777\pi\) |
−0.667050 | + | 0.745013i | \(0.732443\pi\) | |||||||
\(18\) | −0.908458 | − | 2.85914i | −0.214126 | − | 0.673907i | ||||
\(19\) | 3.39194 | + | 7.61841i | 0.778164 | + | 1.74778i | 0.655311 | + | 0.755359i | \(0.272538\pi\) |
0.122853 | + | 0.992425i | \(0.460796\pi\) | |||||||
\(20\) | 0.384753 | + | 1.18415i | 0.0860333 | + | 0.264783i | ||||
\(21\) | −4.49400 | + | 0.896617i | −0.980672 | + | 0.195658i | ||||
\(22\) | −1.33856 | − | 3.03451i | −0.285381 | − | 0.646960i | ||||
\(23\) | −4.30279 | − | 2.48421i | −0.897193 | − | 0.517995i | −0.0209045 | − | 0.999781i | \(-0.506655\pi\) |
−0.876288 | + | 0.481787i | \(0.839988\pi\) | |||||||
\(24\) | −1.61498 | − | 0.625971i | −0.329656 | − | 0.127776i | ||||
\(25\) | 0.360598 | − | 3.43086i | 0.0721197 | − | 0.686173i | ||||
\(26\) | −0.0225146 | − | 0.214212i | −0.00441548 | − | 0.0420105i | ||||
\(27\) | 3.63818 | + | 3.70994i | 0.700169 | + | 0.713978i | ||||
\(28\) | −1.22292 | + | 2.34616i | −0.231109 | + | 0.443383i | ||||
\(29\) | −1.56875 | − | 2.15920i | −0.291309 | − | 0.400953i | 0.638130 | − | 0.769929i | \(-0.279708\pi\) |
−0.929439 | + | 0.368976i | \(0.879708\pi\) | |||||||
\(30\) | −1.51994 | − | 1.52987i | −0.277502 | − | 0.279314i | ||||
\(31\) | −1.39914 | − | 1.25979i | −0.251292 | − | 0.226264i | 0.533851 | − | 0.845578i | \(-0.320744\pi\) |
−0.785143 | + | 0.619314i | \(0.787411\pi\) | |||||||
\(32\) | −0.866025 | + | 0.500000i | −0.153093 | + | 0.0883883i | ||||
\(33\) | 4.44005 | + | 3.64499i | 0.772914 | + | 0.634511i | ||||
\(34\) | − | 6.65775i | − | 1.14179i | ||||||
\(35\) | −2.57914 | + | 2.04931i | −0.435955 | + | 0.346397i | ||||
\(36\) | 2.98554 | − | 0.294157i | 0.497591 | − | 0.0490261i | ||||
\(37\) | −0.731234 | − | 6.95723i | −0.120214 | − | 1.14376i | −0.873757 | − | 0.486362i | \(-0.838323\pi\) |
0.753543 | − | 0.657399i | \(-0.228343\pi\) | |||||||
\(38\) | −8.15716 | + | 1.73386i | −1.32327 | + | 0.281269i | ||||
\(39\) | 0.202169 | + | 0.313543i | 0.0323730 | + | 0.0502070i | ||||
\(40\) | −1.23827 | + | 0.130147i | −0.195787 | + | 0.0205780i | ||||
\(41\) | 3.94677 | + | 2.86750i | 0.616382 | + | 0.447828i | 0.851656 | − | 0.524101i | \(-0.175599\pi\) |
−0.235274 | + | 0.971929i | \(0.575599\pi\) | |||||||
\(42\) | 0.0573328 | − | 4.58222i | 0.00884665 | − | 0.707051i | ||||
\(43\) | −10.6893 | −1.63010 | −0.815052 | − | 0.579388i | \(-0.803292\pi\) | ||||
−0.815052 | + | 0.579388i | \(0.803292\pi\) | |||||||
\(44\) | 3.24650 | − | 0.678394i | 0.489429 | − | 0.102272i | ||||
\(45\) | 3.54485 | + | 1.17736i | 0.528435 | + | 0.175510i | ||||
\(46\) | 3.32453 | − | 3.69226i | 0.490175 | − | 0.544394i | ||||
\(47\) | −1.78386 | + | 0.794224i | −0.260202 | + | 0.115849i | −0.532692 | − | 0.846309i | \(-0.678820\pi\) |
0.272490 | + | 0.962159i | \(0.412153\pi\) | |||||||
\(48\) | 0.948066 | − | 1.44954i | 0.136841 | − | 0.209223i | ||||
\(49\) | −6.94692 | − | 0.860448i | −0.992416 | − | 0.122921i | ||||
\(50\) | 3.28092 | + | 1.06603i | 0.463992 | + | 0.150760i | ||||
\(51\) | 5.20175 | + | 10.2917i | 0.728390 | + | 1.44112i | ||||
\(52\) | 0.214212 | + | 0.0225146i | 0.0297059 | + | 0.00312222i | ||||
\(53\) | −7.31540 | − | 6.58681i | −1.00485 | − | 0.904768i | −0.00938746 | − | 0.999956i | \(-0.502988\pi\) |
−0.995459 | + | 0.0951878i | \(0.969655\pi\) | |||||||
\(54\) | −4.38529 | + | 2.78734i | −0.596762 | + | 0.379309i | ||||
\(55\) | 4.03626 | + | 0.872467i | 0.544250 | + | 0.117643i | ||||
\(56\) | −2.04063 | − | 1.68399i | −0.272691 | − | 0.225032i | ||||
\(57\) | 11.2548 | − | 9.05348i | 1.49074 | − | 1.19916i | ||||
\(58\) | 2.43817 | − | 1.08554i | 0.320148 | − | 0.142539i | ||||
\(59\) | 0.946432 | + | 0.421379i | 0.123215 | + | 0.0548588i | 0.467418 | − | 0.884036i | \(-0.345184\pi\) |
−0.344203 | + | 0.938895i | \(0.611851\pi\) | |||||||
\(60\) | 1.81245 | − | 1.16865i | 0.233986 | − | 0.150872i | ||||
\(61\) | 9.04006 | − | 8.13971i | 1.15746 | − | 1.04218i | 0.158969 | − | 0.987284i | \(-0.449183\pi\) |
0.998492 | − | 0.0548991i | \(-0.0174837\pi\) | |||||||
\(62\) | 1.52315 | − | 1.10664i | 0.193441 | − | 0.140543i | ||||
\(63\) | 3.49149 | + | 7.12808i | 0.439887 | + | 0.898053i | ||||
\(64\) | −0.309017 | − | 0.951057i | −0.0386271 | − | 0.118882i | ||||
\(65\) | 0.232252 | + | 0.134091i | 0.0288074 | + | 0.0166319i | ||||
\(66\) | −4.48847 | + | 3.58519i | −0.552493 | + | 0.441307i | ||||
\(67\) | 1.73671 | + | 3.00806i | 0.212172 | + | 0.367494i | 0.952394 | − | 0.304869i | \(-0.0986128\pi\) |
−0.740222 | + | 0.672363i | \(0.765279\pi\) | |||||||
\(68\) | 6.51226 | + | 1.38422i | 0.789727 | + | 0.167862i | ||||
\(69\) | −2.25433 | + | 8.30505i | −0.271389 | + | 0.999811i | ||||
\(70\) | −1.46830 | − | 2.94886i | −0.175495 | − | 0.352456i | ||||
\(71\) | 10.6592 | + | 3.46339i | 1.26502 | + | 0.411028i | 0.863279 | − | 0.504727i | \(-0.168407\pi\) |
0.401736 | + | 0.915755i | \(0.368407\pi\) | |||||||
\(72\) | −0.333001 | + | 2.98146i | −0.0392445 | + | 0.351369i | ||||
\(73\) | −0.132143 | + | 0.296798i | −0.0154662 | + | 0.0347376i | −0.921113 | − | 0.389294i | \(-0.872719\pi\) |
0.905647 | + | 0.424032i | \(0.139386\pi\) | |||||||
\(74\) | 6.95723 | + | 0.731234i | 0.808761 | + | 0.0850042i | ||||
\(75\) | −5.90461 | + | 0.915508i | −0.681806 | + | 0.105714i | ||||
\(76\) | − | 8.33939i | − | 0.956594i | ||||||
\(77\) | 4.68535 | + | 7.41940i | 0.533945 | + | 0.845519i | ||||
\(78\) | −0.348724 | + | 0.132562i | −0.0394853 | + | 0.0150097i | ||||
\(79\) | −5.64611 | − | 1.20012i | −0.635238 | − | 0.135024i | −0.120973 | − | 0.992656i | \(-0.538602\pi\) |
−0.514264 | + | 0.857632i | \(0.671935\pi\) | |||||||
\(80\) | 0.130147 | − | 1.23827i | 0.0145509 | − | 0.138442i | ||||
\(81\) | 4.60109 | − | 7.73498i | 0.511232 | − | 0.859443i | ||||
\(82\) | −3.62542 | + | 3.26434i | −0.400360 | + | 0.360486i | ||||
\(83\) | 5.21538 | − | 16.0513i | 0.572462 | − | 1.76186i | −0.0722018 | − | 0.997390i | \(-0.523003\pi\) |
0.644664 | − | 0.764466i | \(-0.276997\pi\) | |||||||
\(84\) | 4.47016 | + | 1.00878i | 0.487735 | + | 0.110067i | ||||
\(85\) | 6.70632 | + | 4.87243i | 0.727402 | + | 0.528489i | ||||
\(86\) | 2.22243 | − | 10.4557i | 0.239651 | − | 1.12747i | ||||
\(87\) | −2.92083 | + | 3.58302i | −0.313146 | + | 0.384140i | ||||
\(88\) | −0.0114167 | + | 3.31661i | −0.00121702 | + | 0.353551i | ||||
\(89\) | −5.27577 | + | 9.13790i | −0.559231 | + | 0.968616i | 0.438330 | + | 0.898814i | \(0.355570\pi\) |
−0.997561 | + | 0.0698018i | \(0.977763\pi\) | |||||||
\(90\) | −1.88865 | + | 3.22260i | −0.199081 | + | 0.339692i | ||||
\(91\) | 0.142393 | + | 0.551798i | 0.0149268 | + | 0.0578442i | ||||
\(92\) | 2.92037 | + | 4.01954i | 0.304470 | + | 0.419066i | ||||
\(93\) | −1.48990 | + | 2.90071i | −0.154495 | + | 0.300790i | ||||
\(94\) | −0.405984 | − | 1.91000i | −0.0418740 | − | 0.197002i | ||||
\(95\) | 4.22325 | − | 9.48558i | 0.433297 | − | 0.973200i | ||||
\(96\) | 1.22075 | + | 1.22872i | 0.124592 | + | 0.125406i | ||||
\(97\) | 6.47039 | − | 2.10236i | 0.656968 | − | 0.213462i | 0.0384841 | − | 0.999259i | \(-0.487747\pi\) |
0.618484 | + | 0.785797i | \(0.287747\pi\) | |||||||
\(98\) | 2.28599 | − | 6.61621i | 0.230920 | − | 0.668338i | ||||
\(99\) | 4.13724 | − | 9.04894i | 0.415808 | − | 0.909452i | ||||
\(100\) | −1.72488 | + | 2.98758i | −0.172488 | + | 0.298758i | ||||
\(101\) | 1.92643 | − | 2.13952i | 0.191687 | − | 0.212890i | −0.639638 | − | 0.768676i | \(-0.720916\pi\) |
0.831326 | + | 0.555786i | \(0.187582\pi\) | |||||||
\(102\) | −11.1483 | + | 2.94832i | −1.10384 | + | 0.291927i | ||||
\(103\) | −13.0804 | + | 1.37480i | −1.28885 | + | 0.135463i | −0.724038 | − | 0.689760i | \(-0.757716\pi\) |
−0.564807 | + | 0.825223i | \(0.691049\pi\) | |||||||
\(104\) | −0.0665599 | + | 0.204850i | −0.00652673 | + | 0.0200872i | ||||
\(105\) | 4.57369 | + | 3.41121i | 0.446346 | + | 0.332900i | ||||
\(106\) | 7.96383 | − | 5.78606i | 0.773516 | − | 0.561992i | ||||
\(107\) | −0.556187 | − | 1.24922i | −0.0537687 | − | 0.120766i | 0.884663 | − | 0.466230i | \(-0.154388\pi\) |
−0.938432 | + | 0.345464i | \(0.887722\pi\) | |||||||
\(108\) | −1.81468 | − | 4.86898i | −0.174618 | − | 0.468518i | ||||
\(109\) | −2.79218 | − | 4.83619i | −0.267442 | − | 0.463223i | 0.700758 | − | 0.713399i | \(-0.252845\pi\) |
−0.968201 | + | 0.250175i | \(0.919512\pi\) | |||||||
\(110\) | −1.69259 | + | 3.76667i | −0.161382 | + | 0.359138i | ||||
\(111\) | −11.3259 | + | 4.30538i | −1.07501 | + | 0.408648i | ||||
\(112\) | 2.07146 | − | 1.64592i | 0.195734 | − | 0.155525i | ||||
\(113\) | −3.18542 | + | 4.38435i | −0.299659 | + | 0.412445i | −0.932121 | − | 0.362146i | \(-0.882044\pi\) |
0.632462 | + | 0.774591i | \(0.282044\pi\) | |||||||
\(114\) | 6.51563 | + | 12.8912i | 0.610245 | + | 1.20737i | ||||
\(115\) | 1.28617 | + | 6.05094i | 0.119936 | + | 0.564253i | ||||
\(116\) | 0.554898 | + | 2.61059i | 0.0515210 | + | 0.242387i | ||||
\(117\) | 0.435493 | − | 0.477378i | 0.0402614 | − | 0.0441336i | ||||
\(118\) | −0.608945 | + | 0.838141i | −0.0560579 | + | 0.0771571i | ||||
\(119\) | 2.59439 | + | 17.4226i | 0.237828 | + | 1.59713i | ||||
\(120\) | 0.766282 | + | 2.01582i | 0.0699517 | + | 0.184018i | ||||
\(121\) | 3.47113 | − | 10.4380i | 0.315557 | − | 0.948907i | ||||
\(122\) | 6.08230 | + | 10.5349i | 0.550666 | + | 0.953781i | ||||
\(123\) | 3.05379 | − | 7.87864i | 0.275351 | − | 0.710393i | ||||
\(124\) | 0.765772 | + | 1.71995i | 0.0687684 | + | 0.154456i | ||||
\(125\) | −8.51141 | + | 6.18390i | −0.761283 | + | 0.553105i | ||||
\(126\) | −7.69823 | + | 1.93319i | −0.685813 | + | 0.172222i | ||||
\(127\) | −5.29258 | + | 16.2889i | −0.469641 | + | 1.44541i | 0.383410 | + | 0.923578i | \(0.374750\pi\) |
−0.853051 | + | 0.521828i | \(0.825250\pi\) | |||||||
\(128\) | 0.994522 | − | 0.104528i | 0.0879041 | − | 0.00923910i | ||||
\(129\) | 4.73365 | + | 17.8991i | 0.416775 | + | 1.57592i | ||||
\(130\) | −0.179449 | + | 0.199298i | −0.0157387 | + | 0.0174796i | ||||
\(131\) | 3.37630 | − | 5.84793i | 0.294989 | − | 0.510936i | −0.679993 | − | 0.733218i | \(-0.738017\pi\) |
0.974982 | + | 0.222282i | \(0.0713506\pi\) | |||||||
\(132\) | −2.57364 | − | 5.13579i | −0.224007 | − | 0.447013i | ||||
\(133\) | 20.6708 | − | 7.71601i | 1.79238 | − | 0.669063i | ||||
\(134\) | −3.30341 | + | 1.07334i | −0.285371 | + | 0.0927228i | ||||
\(135\) | 0.401665 | − | 6.45717i | 0.0345698 | − | 0.555745i | ||||
\(136\) | −2.70795 | + | 6.08215i | −0.232205 | + | 0.521540i | ||||
\(137\) | −3.00850 | − | 14.1539i | −0.257034 | − | 1.20925i | −0.897414 | − | 0.441190i | \(-0.854556\pi\) |
0.640380 | − | 0.768058i | \(-0.278777\pi\) | |||||||
\(138\) | −7.65486 | − | 3.93178i | −0.651625 | − | 0.334696i | ||||
\(139\) | 6.95523 | + | 9.57306i | 0.589935 | + | 0.811976i | 0.994741 | − | 0.102427i | \(-0.0326608\pi\) |
−0.404805 | + | 0.914403i | \(0.632661\pi\) | |||||||
\(140\) | 3.18970 | − | 0.823109i | 0.269579 | − | 0.0695654i | ||||
\(141\) | 2.11988 | + | 2.63532i | 0.178526 | + | 0.221934i | ||||
\(142\) | −5.60388 | + | 9.70620i | −0.470267 | + | 0.814526i | ||||
\(143\) | 0.421886 | − | 0.576493i | 0.0352799 | − | 0.0482088i | ||||
\(144\) | −2.84707 | − | 0.945604i | −0.237256 | − | 0.0788004i | ||||
\(145\) | −0.690896 | + | 3.25041i | −0.0573758 | + | 0.269932i | ||||
\(146\) | −0.262838 | − | 0.190963i | −0.0217526 | − | 0.0158042i | ||||
\(147\) | 1.63557 | + | 12.0135i | 0.134899 | + | 0.990859i | ||||
\(148\) | −2.16174 | + | 6.65316i | −0.177694 | + | 0.546887i | ||||
\(149\) | 16.2178 | − | 14.6025i | 1.32861 | − | 1.19629i | 0.364372 | − | 0.931253i | \(-0.381284\pi\) |
0.964239 | − | 0.265033i | \(-0.0853830\pi\) | |||||||
\(150\) | 0.332136 | − | 5.96592i | 0.0271188 | − | 0.487116i | ||||
\(151\) | 0.440960 | − | 4.19545i | 0.0358848 | − | 0.341421i | −0.961819 | − | 0.273688i | \(-0.911757\pi\) |
0.997703 | − | 0.0677336i | \(-0.0215768\pi\) | |||||||
\(152\) | 8.15716 | + | 1.73386i | 0.661633 | + | 0.140634i | ||||
\(153\) | 14.9297 | − | 13.2678i | 1.20699 | − | 1.07264i | ||||
\(154\) | −8.23141 | + | 3.04038i | −0.663306 | + | 0.245001i | ||||
\(155\) | 2.34415i | 0.188287i | ||||||||
\(156\) | −0.0571614 | − | 0.368665i | −0.00457658 | − | 0.0295168i | ||||
\(157\) | −2.83860 | − | 0.298349i | −0.226545 | − | 0.0238109i | −0.00942440 | − | 0.999956i | \(-0.503000\pi\) |
−0.217121 | + | 0.976145i | \(0.569667\pi\) | |||||||
\(158\) | 2.34779 | − | 5.27321i | 0.186780 | − | 0.419514i | ||||
\(159\) | −7.78995 | + | 15.1664i | −0.617784 | + | 1.20277i | ||||
\(160\) | 1.18415 | + | 0.384753i | 0.0936150 | + | 0.0304174i | ||||
\(161\) | −7.26115 | + | 10.9578i | −0.572258 | + | 0.863594i | ||||
\(162\) | 6.60933 | + | 6.10874i | 0.519278 | + | 0.479948i | ||||
\(163\) | −0.987361 | − | 0.209870i | −0.0773361 | − | 0.0164383i | 0.169081 | − | 0.985602i | \(-0.445920\pi\) |
−0.246417 | + | 0.969164i | \(0.579253\pi\) | |||||||
\(164\) | −2.43924 | − | 4.22489i | −0.190473 | − | 0.329908i | ||||
\(165\) | −0.326488 | − | 7.14502i | −0.0254171 | − | 0.556239i | ||||
\(166\) | 14.6162 | + | 8.43865i | 1.13444 | + | 0.654967i | ||||
\(167\) | 0.962885 | + | 2.96346i | 0.0745103 | + | 0.229319i | 0.981375 | − | 0.192103i | \(-0.0615309\pi\) |
−0.906864 | + | 0.421423i | \(0.861531\pi\) | |||||||
\(168\) | −1.91613 | + | 4.16274i | −0.147833 | + | 0.321163i | ||||
\(169\) | −10.4797 | + | 7.61394i | −0.806130 | + | 0.585688i | ||||
\(170\) | −6.16027 | + | 5.54674i | −0.472471 | + | 0.425415i | ||||
\(171\) | −20.1440 | − | 14.8368i | −1.54045 | − | 1.13460i | ||||
\(172\) | 9.76517 | + | 4.34773i | 0.744587 | + | 0.331512i | ||||
\(173\) | 17.7918 | − | 7.92143i | 1.35269 | − | 0.602255i | 0.402927 | − | 0.915232i | \(-0.367993\pi\) |
0.949761 | + | 0.312977i | \(0.101326\pi\) | |||||||
\(174\) | −2.89745 | − | 3.60196i | −0.219655 | − | 0.273064i | ||||
\(175\) | −9.00124 | − | 1.51119i | −0.680430 | − | 0.114236i | ||||
\(176\) | −3.24176 | − | 0.700728i | −0.244357 | − | 0.0528194i | ||||
\(177\) | 0.286474 | − | 1.77139i | 0.0215327 | − | 0.133146i | ||||
\(178\) | −7.84132 | − | 7.06036i | −0.587732 | − | 0.529196i | ||||
\(179\) | −6.46479 | − | 0.679477i | −0.483201 | − | 0.0507865i | −0.140204 | − | 0.990123i | \(-0.544776\pi\) |
−0.342998 | + | 0.939336i | \(0.611442\pi\) | |||||||
\(180\) | −2.75951 | − | 2.51739i | −0.205682 | − | 0.187635i | ||||
\(181\) | −14.9647 | − | 4.86233i | −1.11232 | − | 0.361414i | −0.305487 | − | 0.952196i | \(-0.598819\pi\) |
−0.806831 | + | 0.590782i | \(0.798819\pi\) | |||||||
\(182\) | −0.569345 | + | 0.0245559i | −0.0422027 | + | 0.00182020i | ||||
\(183\) | −17.6331 | − | 11.5328i | −1.30348 | − | 0.852532i | ||||
\(184\) | −4.53889 | + | 2.02084i | −0.334611 | + | 0.148978i | ||||
\(185\) | −5.82817 | + | 6.47284i | −0.428495 | + | 0.475892i | ||||
\(186\) | −2.52756 | − | 2.06043i | −0.185329 | − | 0.151078i | ||||
\(187\) | 14.8316 | − | 16.3586i | 1.08460 | − | 1.19626i | ||||
\(188\) | 1.95267 | 0.142413 | ||||||||
\(189\) | 10.3897 | − | 9.00304i | 0.755737 | − | 0.654875i | ||||
\(190\) | 8.40023 | + | 6.10313i | 0.609417 | + | 0.442767i | ||||
\(191\) | −5.71136 | + | 0.600288i | −0.413260 | + | 0.0434353i | −0.308877 | − | 0.951102i | \(-0.599953\pi\) |
−0.104382 | + | 0.994537i | \(0.533287\pi\) | |||||||
\(192\) | −1.45568 | + | 0.938609i | −0.105055 | + | 0.0677383i | ||||
\(193\) | 4.75503 | − | 1.01071i | 0.342275 | − | 0.0727528i | −0.0335673 | − | 0.999436i | \(-0.510687\pi\) |
0.375842 | + | 0.926684i | \(0.377353\pi\) | |||||||
\(194\) | 0.711146 | + | 6.76610i | 0.0510573 | + | 0.485777i | ||||
\(195\) | 0.121682 | − | 0.448283i | 0.00871385 | − | 0.0321022i | ||||
\(196\) | 5.99635 | + | 3.61162i | 0.428310 | + | 0.257973i | ||||
\(197\) | − | 2.29054i | − | 0.163194i | −0.996665 | − | 0.0815972i | \(-0.973998\pi\) | ||
0.996665 | − | 0.0815972i | \(-0.0260021\pi\) | |||||||
\(198\) | 7.99102 | + | 5.92821i | 0.567897 | + | 0.421299i | ||||
\(199\) | −1.65742 | + | 0.956915i | −0.117492 | + | 0.0678339i | −0.557594 | − | 0.830114i | \(-0.688275\pi\) |
0.440102 | + | 0.897948i | \(0.354942\pi\) | |||||||
\(200\) | −2.56367 | − | 2.30834i | −0.181279 | − | 0.163224i | ||||
\(201\) | 4.26787 | − | 4.24018i | 0.301032 | − | 0.299079i | ||||
\(202\) | 1.69224 | + | 2.32917i | 0.119066 | + | 0.163880i | ||||
\(203\) | −5.95743 | + | 3.79087i | −0.418130 | + | 0.266067i | ||||
\(204\) | −0.566030 | − | 11.5177i | −0.0396300 | − | 0.806397i | ||||
\(205\) | −0.634919 | − | 6.04085i | −0.0443447 | − | 0.421911i | ||||
\(206\) | 1.37480 | − | 13.0804i | 0.0957869 | − | 0.911351i | ||||
\(207\) | 14.9050 | + | 0.0970279i | 1.03597 | + | 0.00674391i | ||||
\(208\) | −0.186535 | − | 0.107696i | −0.0129339 | − | 0.00746738i | ||||
\(209\) | −23.9053 | − | 13.9117i | −1.65357 | − | 0.962292i | ||||
\(210\) | −4.28759 | + | 3.76451i | −0.295872 | + | 0.259776i | ||||
\(211\) | −6.62961 | − | 20.4038i | −0.456401 | − | 1.40466i | −0.869482 | − | 0.493964i | \(-0.835547\pi\) |
0.413081 | − | 0.910694i | \(-0.364453\pi\) | |||||||
\(212\) | 4.00385 | + | 8.99279i | 0.274985 | + | 0.617627i | ||||
\(213\) | 1.07906 | − | 19.3824i | 0.0739359 | − | 1.32806i | ||||
\(214\) | 1.33756 | − | 0.284306i | 0.0914335 | − | 0.0194348i | ||||
\(215\) | 8.90553 | + | 9.89059i | 0.607352 | + | 0.674533i | ||||
\(216\) | 5.13987 | − | 0.762706i | 0.349724 | − | 0.0518956i | ||||
\(217\) | −3.55470 | + | 3.48950i | −0.241309 | + | 0.236882i | ||||
\(218\) | 5.31104 | − | 1.72566i | 0.359709 | − | 0.116877i | ||||
\(219\) | 0.555501 | + | 0.0898372i | 0.0375373 | + | 0.00607063i | ||||
\(220\) | −3.33245 | − | 2.43873i | −0.224673 | − | 0.164419i | ||||
\(221\) | 1.24190 | − | 0.717014i | 0.0835395 | − | 0.0482315i | ||||
\(222\) | −1.85650 | − | 11.9736i | −0.124600 | − | 0.803614i | ||||
\(223\) | −1.67382 | + | 2.30382i | −0.112088 | + | 0.154275i | −0.861375 | − | 0.507970i | \(-0.830396\pi\) |
0.749287 | + | 0.662245i | \(0.230396\pi\) | |||||||
\(224\) | 1.17927 | + | 2.36840i | 0.0787935 | + | 0.158245i | ||||
\(225\) | 4.14780 | + | 9.48174i | 0.276520 | + | 0.632116i | ||||
\(226\) | −3.62626 | − | 4.02737i | −0.241215 | − | 0.267897i | ||||
\(227\) | −13.6525 | − | 6.07850i | −0.906151 | − | 0.403444i | −0.0998858 | − | 0.994999i | \(-0.531848\pi\) |
−0.806265 | + | 0.591555i | \(0.798514\pi\) | |||||||
\(228\) | −13.9642 | + | 3.69302i | −0.924800 | + | 0.244576i | ||||
\(229\) | 2.78564 | − | 13.1054i | 0.184080 | − | 0.866029i | −0.785041 | − | 0.619444i | \(-0.787358\pi\) |
0.969121 | − | 0.246585i | \(-0.0793085\pi\) | |||||||
\(230\) | −6.18612 | −0.407901 | ||||||||
\(231\) | 10.3488 | − | 11.1311i | 0.680901 | − | 0.732376i | ||||
\(232\) | −2.66891 | −0.175223 | ||||||||
\(233\) | 0.0833526 | − | 0.392143i | 0.00546061 | − | 0.0256901i | −0.975333 | − | 0.220739i | \(-0.929153\pi\) |
0.980794 | + | 0.195049i | \(0.0624865\pi\) | |||||||
\(234\) | 0.376402 | + | 0.525229i | 0.0246062 | + | 0.0343353i | ||||
\(235\) | 2.22105 | + | 0.988877i | 0.144886 | + | 0.0645072i | ||||
\(236\) | −0.693219 | − | 0.769897i | −0.0451247 | − | 0.0501160i | ||||
\(237\) | 0.490747 | + | 9.98578i | 0.0318774 | + | 0.648646i | ||||
\(238\) | −17.5813 | − | 1.08467i | −1.13963 | − | 0.0703088i | ||||
\(239\) | −12.3299 | + | 16.9706i | −0.797552 | + | 1.09774i | 0.195574 | + | 0.980689i | \(0.437343\pi\) |
−0.993126 | + | 0.117047i | \(0.962657\pi\) | |||||||
\(240\) | −2.13109 | + | 0.330424i | −0.137561 | + | 0.0213288i | ||||
\(241\) | −19.9062 | + | 11.4929i | −1.28227 | + | 0.740321i | −0.977264 | − | 0.212028i | \(-0.931993\pi\) |
−0.305011 | + | 0.952349i | \(0.598660\pi\) | |||||||
\(242\) | 9.48819 | + | 5.56545i | 0.609924 | + | 0.357761i | ||||
\(243\) | −14.9896 | − | 4.27909i | −0.961586 | − | 0.274504i | ||||
\(244\) | −11.5692 | + | 3.75907i | −0.740644 | + | 0.240650i | ||||
\(245\) | 4.99149 | + | 7.14470i | 0.318895 | + | 0.456458i | ||||
\(246\) | 7.07156 | + | 4.62512i | 0.450866 | + | 0.294887i | ||||
\(247\) | −1.20192 | − | 1.33487i | −0.0764763 | − | 0.0849355i | ||||
\(248\) | −1.84158 | + | 0.391440i | −0.116940 | + | 0.0248565i | ||||
\(249\) | −29.1872 | − | 1.62491i | −1.84966 | − | 0.102975i | ||||
\(250\) | −4.27915 | − | 9.61112i | −0.270637 | − | 0.607860i | ||||
\(251\) | −0.212998 | − | 0.655540i | −0.0134443 | − | 0.0413773i | 0.944109 | − | 0.329633i | \(-0.106925\pi\) |
−0.957554 | + | 0.288255i | \(0.906925\pi\) | |||||||
\(252\) | −0.290388 | − | 7.93194i | −0.0182927 | − | 0.499665i | ||||
\(253\) | 16.3940 | − | 1.66604i | 1.03068 | − | 0.104743i | ||||
\(254\) | −14.8326 | − | 8.56358i | −0.930677 | − | 0.537327i | ||||
\(255\) | 5.18897 | − | 13.3873i | 0.324946 | − | 0.838346i | ||||
\(256\) | −0.104528 | + | 0.994522i | −0.00653303 | + | 0.0621576i | ||||
\(257\) | −2.82123 | − | 26.8422i | −0.175983 | − | 1.67437i | −0.624830 | − | 0.780761i | \(-0.714832\pi\) |
0.448847 | − | 0.893609i | \(-0.351835\pi\) | |||||||
\(258\) | −18.4921 | + | 0.908786i | −1.15127 | + | 0.0565786i | ||||
\(259\) | −18.4913 | + | 0.797530i | −1.14899 | + | 0.0495561i | ||||
\(260\) | −0.157633 | − | 0.216964i | −0.00977600 | − | 0.0134555i | ||||
\(261\) | 7.29316 | + | 3.30418i | 0.451435 | + | 0.204524i | ||||
\(262\) | 5.01817 | + | 4.51838i | 0.310023 | + | 0.279146i | ||||
\(263\) | −0.504228 | + | 0.291116i | −0.0310920 | + | 0.0179510i | −0.515465 | − | 0.856910i | \(-0.672381\pi\) |
0.484373 | + | 0.874861i | \(0.339048\pi\) | |||||||
\(264\) | 5.55865 | − | 1.44961i | 0.342112 | − | 0.0892172i | ||||
\(265\) | 12.2564i | 0.752906i | ||||||||
\(266\) | 3.24970 | + | 21.8233i | 0.199252 | + | 1.33807i | ||||
\(267\) | 17.6376 | + | 4.78756i | 1.07940 | + | 0.292994i | ||||
\(268\) | −0.363071 | − | 3.45439i | −0.0221781 | − | 0.211010i | ||||
\(269\) | 1.36254 | − | 0.289617i | 0.0830756 | − | 0.0176583i | −0.166186 | − | 0.986094i | \(-0.553145\pi\) |
0.249262 | + | 0.968436i | \(0.419812\pi\) | |||||||
\(270\) | 6.23256 | + | 1.73541i | 0.379301 | + | 0.105614i | ||||
\(271\) | 11.7335 | − | 1.23324i | 0.712757 | − | 0.0749138i | 0.258792 | − | 0.965933i | \(-0.416676\pi\) |
0.453965 | + | 0.891019i | \(0.350009\pi\) | |||||||
\(272\) | −5.38623 | − | 3.91333i | −0.326588 | − | 0.237280i | ||||
\(273\) | 0.860919 | − | 0.482792i | 0.0521052 | − | 0.0292199i | ||||
\(274\) | 14.4701 | 0.874171 | ||||||||
\(275\) | 5.68664 | + | 9.92832i | 0.342917 | + | 0.598700i | ||||
\(276\) | 5.43740 | − | 6.67012i | 0.327293 | − | 0.401494i | ||||
\(277\) | 14.9416 | − | 16.5943i | 0.897752 | − | 0.997055i | −0.102245 | − | 0.994759i | \(-0.532603\pi\) |
0.999997 | − | 0.00229533i | \(-0.000730626\pi\) | |||||||
\(278\) | −10.8099 | + | 4.81289i | −0.648337 | + | 0.288658i | ||||
\(279\) | 5.51698 | + | 1.21026i | 0.330293 | + | 0.0724563i | ||||
\(280\) | 0.141947 | + | 3.29113i | 0.00848293 | + | 0.196683i | ||||
\(281\) | 16.1806 | + | 5.25739i | 0.965252 | + | 0.313629i | 0.748898 | − | 0.662686i | \(-0.230583\pi\) |
0.216354 | + | 0.976315i | \(0.430583\pi\) | |||||||
\(282\) | −3.01848 | + | 1.52564i | −0.179748 | + | 0.0908504i | ||||
\(283\) | 18.7456 | + | 1.97024i | 1.11431 | + | 0.117119i | 0.643741 | − | 0.765243i | \(-0.277381\pi\) |
0.470571 | + | 0.882362i | \(0.344048\pi\) | |||||||
\(284\) | −8.32899 | − | 7.49945i | −0.494234 | − | 0.445011i | ||||
\(285\) | −17.7537 | − | 2.87117i | −1.05164 | − | 0.170073i | ||||
\(286\) | 0.476180 | + | 0.532527i | 0.0281571 | + | 0.0314890i | ||||
\(287\) | 8.21529 | − | 9.95519i | 0.484933 | − | 0.587636i | ||||
\(288\) | 1.51688 | − | 2.58826i | 0.0893831 | − | 0.152514i | ||||
\(289\) | 24.9632 | − | 11.1143i | 1.46842 | − | 0.653783i | ||||
\(290\) | −3.03573 | − | 1.35160i | −0.178264 | − | 0.0793684i | ||||
\(291\) | −6.38570 | − | 9.90354i | −0.374337 | − | 0.580556i | ||||
\(292\) | 0.241437 | − | 0.217391i | 0.0141290 | − | 0.0127219i | ||||
\(293\) | 0.419491 | − | 0.304778i | 0.0245069 | − | 0.0178053i | −0.575464 | − | 0.817827i | \(-0.695179\pi\) |
0.599971 | + | 0.800022i | \(0.295179\pi\) | |||||||
\(294\) | −12.0911 | − | 0.897929i | −0.705165 | − | 0.0523683i | ||||
\(295\) | −0.398603 | − | 1.22678i | −0.0232076 | − | 0.0714256i | ||||
\(296\) | −6.05832 | − | 3.49777i | −0.352133 | − | 0.203304i | ||||
\(297\) | −16.9844 | − | 2.92050i | −0.985536 | − | 0.169465i | ||||
\(298\) | 10.9116 | + | 18.8994i | 0.632091 | + | 1.09481i | ||||
\(299\) | 1.04678 | + | 0.222499i | 0.0605366 | + | 0.0128675i | ||||
\(300\) | 5.76650 | + | 1.56526i | 0.332929 | + | 0.0903705i | ||||
\(301\) | −1.74149 | + | 28.2276i | −0.100378 | + | 1.62701i | ||||
\(302\) | 4.01209 | + | 1.30361i | 0.230870 | + | 0.0750142i | ||||
\(303\) | −4.43570 | − | 2.27832i | −0.254824 | − | 0.130886i | ||||
\(304\) | −3.39194 | + | 7.61841i | −0.194541 | + | 0.436946i | ||||
\(305\) | −15.0630 | − | 1.58319i | −0.862505 | − | 0.0906529i | ||||
\(306\) | 9.87381 | + | 17.3620i | 0.564448 | + | 0.992518i | ||||
\(307\) | 27.2975i | 1.55795i | 0.627054 | + | 0.778976i | \(0.284261\pi\) | ||||
−0.627054 | + | 0.778976i | \(0.715739\pi\) | |||||||
\(308\) | −1.26254 | − | 8.68366i | −0.0719399 | − | 0.494798i | ||||
\(309\) | 8.09458 | + | 21.2940i | 0.460485 | + | 1.21137i | ||||
\(310\) | −2.29293 | − | 0.487376i | −0.130229 | − | 0.0276811i | ||||
\(311\) | −0.848541 | + | 8.07333i | −0.0481163 | + | 0.457796i | 0.943764 | + | 0.330620i | \(0.107258\pi\) |
−0.991880 | + | 0.127176i | \(0.959409\pi\) | |||||||
\(312\) | 0.372494 | + | 0.0207375i | 0.0210883 | + | 0.00117403i | ||||
\(313\) | −0.900388 | + | 0.810713i | −0.0508929 | + | 0.0458242i | −0.694185 | − | 0.719797i | \(-0.744235\pi\) |
0.643292 | + | 0.765621i | \(0.277568\pi\) | |||||||
\(314\) | 0.882009 | − | 2.71454i | 0.0497746 | − | 0.153191i | ||||
\(315\) | 3.68661 | − | 9.16918i | 0.207717 | − | 0.516625i | ||||
\(316\) | 4.66985 | + | 3.39284i | 0.262700 | + | 0.190862i | ||||
\(317\) | −2.36285 | + | 11.1163i | −0.132711 | + | 0.624356i | 0.860638 | + | 0.509217i | \(0.170065\pi\) |
−0.993349 | + | 0.115139i | \(0.963269\pi\) | |||||||
\(318\) | −13.2154 | − | 10.7730i | −0.741081 | − | 0.604120i | ||||
\(319\) | 8.40908 | + | 2.76431i | 0.470818 | + | 0.154772i | ||||
\(320\) | −0.622543 | + | 1.07828i | −0.0348012 | + | 0.0602775i | ||||
\(321\) | −1.84549 | + | 1.48453i | −0.103005 | + | 0.0828584i | ||||
\(322\) | −9.20864 | − | 9.38072i | −0.513178 | − | 0.522767i | ||||
\(323\) | −32.6348 | − | 44.9179i | −1.81585 | − | 2.49930i | ||||
\(324\) | −7.34941 | + | 5.19483i | −0.408300 | + | 0.288601i | ||||
\(325\) | 0.154489 | + | 0.726814i | 0.00856952 | + | 0.0403164i | ||||
\(326\) | 0.410568 | − | 0.922150i | 0.0227392 | − | 0.0510732i | ||||
\(327\) | −6.86164 | + | 6.81711i | −0.379449 | + | 0.376987i | ||||
\(328\) | 4.63971 | − | 1.50753i | 0.256185 | − | 0.0832396i | ||||
\(329\) | 1.80671 | + | 4.84008i | 0.0996070 | + | 0.266842i | ||||
\(330\) | 7.05676 | + | 1.16618i | 0.388462 | + | 0.0641960i | ||||
\(331\) | 2.83035 | − | 4.90232i | 0.155570 | − | 0.269456i | −0.777696 | − | 0.628640i | \(-0.783612\pi\) |
0.933267 | + | 0.359185i | \(0.116945\pi\) | |||||||
\(332\) | −11.2931 | + | 12.5423i | −0.619791 | + | 0.688347i | ||||
\(333\) | 12.2249 | + | 17.0585i | 0.669918 | + | 0.934800i | ||||
\(334\) | −3.09889 | + | 0.325707i | −0.169564 | + | 0.0178219i | ||||
\(335\) | 1.33641 | − | 4.11303i | 0.0730156 | − | 0.224719i | ||||
\(336\) | −3.67339 | − | 2.73974i | −0.200400 | − | 0.149465i | ||||
\(337\) | −15.8834 | + | 11.5400i | −0.865225 | + | 0.628623i | −0.929301 | − | 0.369322i | \(-0.879590\pi\) |
0.0640762 | + | 0.997945i | \(0.479590\pi\) | |||||||
\(338\) | −5.26871 | − | 11.8337i | −0.286580 | − | 0.643669i | ||||
\(339\) | 8.75215 | + | 3.39236i | 0.475352 | + | 0.184248i | ||||
\(340\) | −4.14473 | − | 7.17889i | −0.224780 | − | 0.389330i | ||||
\(341\) | 6.20779 | + | 0.674078i | 0.336171 | + | 0.0365034i | ||||
\(342\) | 18.7007 | − | 16.6190i | 1.01122 | − | 0.898655i | ||||
\(343\) | −3.40399 | + | 18.2047i | −0.183798 | + | 0.982964i | ||||
\(344\) | −6.28302 | + | 8.64783i | −0.338758 | + | 0.466260i | ||||
\(345\) | 9.56263 | − | 4.83326i | 0.514835 | − | 0.260214i | ||||
\(346\) | 4.04920 | + | 19.0500i | 0.217686 | + | 1.02413i | ||||
\(347\) | 3.77056 | + | 17.7391i | 0.202414 | + | 0.952284i | 0.955643 | + | 0.294526i | \(0.0951618\pi\) |
−0.753229 | + | 0.657758i | \(0.771505\pi\) | |||||||
\(348\) | 4.12566 | − | 2.08524i | 0.221158 | − | 0.111781i | ||||
\(349\) | −10.8399 | + | 14.9199i | −0.580248 | + | 0.798643i | −0.993723 | − | 0.111873i | \(-0.964315\pi\) |
0.413474 | + | 0.910516i | \(0.364315\pi\) | |||||||
\(350\) | 3.34963 | − | 8.49034i | 0.179045 | − | 0.453828i | ||||
\(351\) | −0.992215 | − | 0.517824i | −0.0529605 | − | 0.0276394i | ||||
\(352\) | 1.35941 | − | 3.02523i | 0.0724570 | − | 0.161245i | ||||
\(353\) | 0.434790 | + | 0.753078i | 0.0231415 | + | 0.0400823i | 0.877364 | − | 0.479825i | \(-0.159300\pi\) |
−0.854223 | + | 0.519907i | \(0.825967\pi\) | |||||||
\(354\) | 1.67312 | + | 0.648506i | 0.0889252 | + | 0.0344677i | ||||
\(355\) | −5.67585 | − | 12.7482i | −0.301243 | − | 0.676603i | ||||
\(356\) | 8.53638 | − | 6.20204i | 0.452427 | − | 0.328708i | ||||
\(357\) | 28.0250 | − | 12.0597i | 1.48324 | − | 0.638267i | ||||
\(358\) | 2.00874 | − | 6.18225i | 0.106165 | − | 0.326742i | ||||
\(359\) | 14.7539 | − | 1.55070i | 0.778683 | − | 0.0818429i | 0.293156 | − | 0.956065i | \(-0.405294\pi\) |
0.485527 | + | 0.874222i | \(0.338628\pi\) | |||||||
\(360\) | 3.03611 | − | 2.17581i | 0.160017 | − | 0.114675i | ||||
\(361\) | −33.8215 | + | 37.5626i | −1.78008 | + | 1.97698i | ||||
\(362\) | 7.86741 | − | 13.6268i | 0.413502 | − | 0.716207i | ||||
\(363\) | −19.0154 | − | 1.19000i | −0.998048 | − | 0.0624585i | ||||
\(364\) | 0.0943542 | − | 0.562009i | 0.00494550 | − | 0.0294573i | ||||
\(365\) | 0.384713 | − | 0.125001i | 0.0201368 | − | 0.00654284i | ||||
\(366\) | 14.9469 | − | 14.8500i | 0.781289 | − | 0.776220i | ||||
\(367\) | 4.05474 | − | 9.10710i | 0.211656 | − | 0.475387i | −0.776253 | − | 0.630421i | \(-0.782882\pi\) |
0.987909 | + | 0.155035i | \(0.0495489\pi\) | |||||||
\(368\) | −1.03299 | − | 4.85986i | −0.0538486 | − | 0.253338i | ||||
\(369\) | −14.5450 | − | 1.62454i | −0.757182 | − | 0.0845700i | ||||
\(370\) | −5.11964 | − | 7.04659i | −0.266158 | − | 0.366335i | ||||
\(371\) | −18.5858 | + | 18.2449i | −0.964927 | + | 0.947227i | ||||
\(372\) | 2.54092 | − | 2.04394i | 0.131740 | − | 0.105973i | ||||
\(373\) | 6.04989 | − | 10.4787i | 0.313251 | − | 0.542567i | −0.665813 | − | 0.746119i | \(-0.731915\pi\) |
0.979064 | + | 0.203551i | \(0.0652484\pi\) | |||||||
\(374\) | 12.9175 | + | 17.9087i | 0.667946 | + | 0.926036i | ||||
\(375\) | 14.1240 | + | 11.5137i | 0.729361 | + | 0.594566i | ||||
\(376\) | −0.405984 | + | 1.91000i | −0.0209370 | + | 0.0985009i | ||||
\(377\) | 0.465074 | + | 0.337896i | 0.0239525 | + | 0.0174025i | ||||
\(378\) | 6.64617 | + | 12.0345i | 0.341842 | + | 0.618986i | ||||
\(379\) | −9.75382 | + | 30.0192i | −0.501020 | + | 1.54198i | 0.306340 | + | 0.951922i | \(0.400896\pi\) |
−0.807360 | + | 0.590059i | \(0.799104\pi\) | |||||||
\(380\) | −7.71627 | + | 6.94776i | −0.395836 | + | 0.356412i | ||||
\(381\) | 29.6192 | + | 1.64897i | 1.51744 | + | 0.0844791i | ||||
\(382\) | 0.600288 | − | 5.71136i | 0.0307134 | − | 0.292219i | ||||
\(383\) | 3.40809 | + | 0.724412i | 0.174145 | + | 0.0370157i | 0.294159 | − | 0.955757i | \(-0.404961\pi\) |
−0.120014 | + | 0.992772i | \(0.538294\pi\) | |||||||
\(384\) | −0.615445 | − | 1.61902i | −0.0314068 | − | 0.0826203i | ||||
\(385\) | 2.96153 | − | 10.5165i | 0.150934 | − | 0.535973i | ||||
\(386\) | 4.86126i | 0.247432i | ||||||||
\(387\) | 27.8754 | − | 15.8528i | 1.41699 | − | 0.805845i | ||||
\(388\) | −6.76610 | − | 0.711146i | −0.343497 | − | 0.0361029i | ||||
\(389\) | −12.8187 | + | 28.7912i | −0.649933 | + | 1.45977i | 0.224425 | + | 0.974491i | \(0.427950\pi\) |
−0.874358 | + | 0.485282i | \(0.838717\pi\) | |||||||
\(390\) | 0.413188 | + | 0.212227i | 0.0209226 | + | 0.0107465i | ||||
\(391\) | 31.4596 | + | 10.2218i | 1.59098 | + | 0.516940i | ||||
\(392\) | −4.77941 | + | 5.11441i | −0.241397 | + | 0.258317i | ||||
\(393\) | −11.2874 | − | 3.06387i | −0.569375 | − | 0.154552i | ||||
\(394\) | 2.24049 | + | 0.476231i | 0.112874 | + | 0.0239922i | ||||
\(395\) | 3.59347 | + | 6.22408i | 0.180807 | + | 0.313167i | ||||
\(396\) | −7.46009 | + | 6.58385i | −0.374884 | + | 0.330851i | ||||
\(397\) | 13.2441 | + | 7.64646i | 0.664700 | + | 0.383765i | 0.794066 | − | 0.607832i | \(-0.207961\pi\) |
−0.129365 | + | 0.991597i | \(0.541294\pi\) | |||||||
\(398\) | −0.591406 | − | 1.82016i | −0.0296445 | − | 0.0912364i | ||||
\(399\) | −22.0742 | − | 31.1959i | −1.10509 | − | 1.56175i | ||||
\(400\) | 2.79092 | − | 2.02772i | 0.139546 | − | 0.101386i | ||||
\(401\) | 3.35548 | − | 3.02129i | 0.167565 | − | 0.150876i | −0.581082 | − | 0.813845i | \(-0.697371\pi\) |
0.748647 | + | 0.662969i | \(0.230704\pi\) | |||||||
\(402\) | 3.26018 | + | 5.05619i | 0.162603 | + | 0.252180i | ||||
\(403\) | 0.370464 | + | 0.164941i | 0.0184541 | + | 0.00821631i | ||||
\(404\) | −2.63011 | + | 1.17100i | −0.130853 | + | 0.0582594i | ||||
\(405\) | −10.9903 | + | 2.18691i | −0.546112 | + | 0.108669i | ||||
\(406\) | −2.46941 | − | 6.61541i | −0.122555 | − | 0.328317i | ||||
\(407\) | 15.4655 | + | 17.2955i | 0.766595 | + | 0.857306i | ||||
\(408\) | 11.3837 | + | 1.84099i | 0.563575 | + | 0.0911428i | ||||
\(409\) | 5.07406 | + | 4.56870i | 0.250896 | + | 0.225908i | 0.784976 | − | 0.619526i | \(-0.212675\pi\) |
−0.534080 | + | 0.845434i | \(0.679342\pi\) | |||||||
\(410\) | 6.04085 | + | 0.634919i | 0.298336 | + | 0.0313564i | ||||
\(411\) | −22.3682 | + | 11.3056i | −1.10334 | + | 0.557664i | ||||
\(412\) | 12.5087 | + | 4.06432i | 0.616258 | + | 0.200234i | ||||
\(413\) | 1.26694 | − | 2.43062i | 0.0623420 | − | 0.119603i | ||||
\(414\) | −3.19383 | + | 14.5591i | −0.156968 | + | 0.715540i | ||||
\(415\) | −19.1970 | + | 8.54704i | −0.942342 | + | 0.419558i | ||||
\(416\) | 0.144126 | − | 0.160068i | 0.00706634 | − | 0.00784796i | ||||
\(417\) | 12.9499 | − | 15.8857i | 0.634158 | − | 0.777928i | ||||
\(418\) | 18.5779 | − | 20.4905i | 0.908674 | − | 1.00223i | ||||
\(419\) | 8.85188 | 0.432443 | 0.216221 | − | 0.976344i | \(-0.430627\pi\) | ||||
0.216221 | + | 0.976344i | \(0.430627\pi\) | |||||||
\(420\) | −2.79081 | − | 4.97659i | −0.136177 | − | 0.242833i | ||||
\(421\) | −15.8202 | − | 11.4940i | −0.771029 | − | 0.560185i | 0.131244 | − | 0.991350i | \(-0.458103\pi\) |
−0.902273 | + | 0.431165i | \(0.858103\pi\) | |||||||
\(422\) | 21.3363 | − | 2.24254i | 1.03864 | − | 0.109165i | ||||
\(423\) | 3.47404 | − | 4.71672i | 0.168913 | − | 0.229335i | ||||
\(424\) | −9.62872 | + | 2.04665i | −0.467612 | + | 0.0993940i | ||||
\(425\) | 2.40077 | + | 22.8418i | 0.116455 | + | 1.10799i | ||||
\(426\) | 18.7345 | + | 5.08530i | 0.907689 | + | 0.246384i | ||||
\(427\) | −20.0220 | − | 25.1985i | −0.968931 | − | 1.21944i | ||||
\(428\) | 1.36744i | 0.0660976i | ||||||||
\(429\) | −1.15216 | − | 0.451147i | −0.0556266 | − | 0.0217816i | ||||
\(430\) | −11.5260 | + | 6.65455i | −0.555834 | + | 0.320911i | ||||
\(431\) | −1.62355 | − | 1.46185i | −0.0782035 | − | 0.0704147i | 0.629102 | − | 0.777323i | \(-0.283423\pi\) |
−0.707305 | + | 0.706908i | \(0.750089\pi\) | |||||||
\(432\) | −0.322600 | + | 5.18613i | −0.0155211 | + | 0.249518i | ||||
\(433\) | 4.22156 | + | 5.81048i | 0.202875 | + | 0.279234i | 0.898316 | − | 0.439349i | \(-0.144791\pi\) |
−0.695441 | + | 0.718583i | \(0.744791\pi\) | |||||||
\(434\) | −2.67418 | − | 4.20253i | −0.128365 | − | 0.201728i | ||||
\(435\) | 5.74871 | − | 0.282518i | 0.275630 | − | 0.0135457i | ||||
\(436\) | 0.583724 | + | 5.55376i | 0.0279553 | + | 0.265977i | ||||
\(437\) | 4.33100 | − | 41.2067i | 0.207180 | − | 1.97118i | ||||
\(438\) | −0.203369 | + | 0.524684i | −0.00971736 | + | 0.0250704i | ||||
\(439\) | 7.63565 | + | 4.40844i | 0.364430 | + | 0.210404i | 0.671022 | − | 0.741437i | \(-0.265856\pi\) |
−0.306593 | + | 0.951841i | \(0.599189\pi\) | |||||||
\(440\) | 3.07830 | − | 2.75258i | 0.146752 | − | 0.131224i | ||||
\(441\) | 19.3922 | − | 8.05880i | 0.923436 | − | 0.383752i | ||||
\(442\) | 0.443139 | + | 1.36384i | 0.0210780 | + | 0.0648713i | ||||
\(443\) | 10.9306 | + | 24.5505i | 0.519329 | + | 1.16643i | 0.962818 | + | 0.270151i | \(0.0870738\pi\) |
−0.443489 | + | 0.896280i | \(0.646260\pi\) | |||||||
\(444\) | 12.0979 | + | 0.673517i | 0.574142 | + | 0.0319637i | ||||
\(445\) | 12.8505 | − | 2.73146i | 0.609172 | − | 0.129483i | ||||
\(446\) | −1.90547 | − | 2.11624i | −0.0902266 | − | 0.100207i | ||||
\(447\) | −31.6336 | − | 20.6898i | −1.49622 | − | 0.978593i | ||||
\(448\) | −2.56183 | + | 0.661086i | −0.121035 | + | 0.0312334i | ||||
\(449\) | 10.0356 | − | 3.26077i | 0.473611 | − | 0.153885i | −0.0624794 | − | 0.998046i | \(-0.519901\pi\) |
0.536090 | + | 0.844161i | \(0.319901\pi\) | |||||||
\(450\) | −10.1369 | + | 2.08579i | −0.477859 | + | 0.0983253i | ||||
\(451\) | −16.1800 | − | 0.0556959i | −0.761886 | − | 0.00262262i | ||||
\(452\) | 4.69330 | − | 2.70968i | 0.220754 | − | 0.127453i | ||||
\(453\) | −7.22049 | + | 1.11953i | −0.339248 | + | 0.0526003i | ||||
\(454\) | 8.78419 | − | 12.0904i | 0.412263 | − | 0.567431i | ||||
\(455\) | 0.391936 | − | 0.591470i | 0.0183743 | − | 0.0277285i | ||||
\(456\) | −0.709001 | − | 14.4268i | −0.0332020 | − | 0.675599i | ||||
\(457\) | −7.42520 | − | 8.24652i | −0.347336 | − | 0.385756i | 0.544010 | − | 0.839078i | \(-0.316905\pi\) |
−0.891346 | + | 0.453323i | \(0.850239\pi\) | |||||||
\(458\) | 12.2398 | + | 5.44953i | 0.571930 | + | 0.254640i | ||||
\(459\) | −28.8282 | − | 19.1240i | −1.34558 | − | 0.892632i | ||||
\(460\) | 1.28617 | − | 6.05094i | 0.0599678 | − | 0.282126i | ||||
\(461\) | 9.70109 | 0.451825 | 0.225912 | − | 0.974148i | \(-0.427464\pi\) | ||||
0.225912 | + | 0.974148i | \(0.427464\pi\) | |||||||
\(462\) | 8.73627 | + | 12.4369i | 0.406448 | + | 0.578619i | ||||
\(463\) | −5.13050 | −0.238435 | −0.119217 | − | 0.992868i | \(-0.538039\pi\) | ||||
−0.119217 | + | 0.992868i | \(0.538039\pi\) | |||||||
\(464\) | 0.554898 | − | 2.61059i | 0.0257605 | − | 0.121194i | ||||
\(465\) | 3.92524 | − | 1.03808i | 0.182029 | − | 0.0481400i | ||||
\(466\) | 0.366244 | + | 0.163062i | 0.0169659 | + | 0.00755371i | ||||
\(467\) | 3.21033 | + | 3.56543i | 0.148556 | + | 0.164989i | 0.812830 | − | 0.582501i | \(-0.197926\pi\) |
−0.664274 | + | 0.747489i | \(0.731259\pi\) | |||||||
\(468\) | −0.592010 | + | 0.258975i | −0.0273657 | + | 0.0119711i | ||||
\(469\) | 8.22643 | − | 4.09610i | 0.379861 | − | 0.189141i | ||||
\(470\) | −1.42905 | + | 1.96692i | −0.0659172 | + | 0.0907272i | ||||
\(471\) | 0.757467 | + | 4.88532i | 0.0349022 | + | 0.225103i | ||||
\(472\) | 0.897201 | − | 0.517999i | 0.0412970 | − | 0.0238429i | ||||
\(473\) | 28.7532 | − | 20.7396i | 1.32207 | − | 0.953606i | ||||
\(474\) | −9.86960 | − | 1.59614i | −0.453326 | − | 0.0733131i | ||||
\(475\) | 27.3609 | − | 8.89008i | 1.25540 | − | 0.407905i | ||||
\(476\) | 4.71633 | − | 16.9716i | 0.216173 | − | 0.777892i | ||||
\(477\) | 28.8456 | + | 6.32785i | 1.32075 | + | 0.289733i | ||||
\(478\) | −14.0362 | − | 15.5888i | −0.642002 | − | 0.713015i | ||||
\(479\) | 23.9567 | − | 5.09216i | 1.09461 | − | 0.232667i | 0.374987 | − | 0.927030i | \(-0.377647\pi\) |
0.719625 | + | 0.694363i | \(0.244314\pi\) | |||||||
\(480\) | 0.119874 | − | 2.15322i | 0.00547148 | − | 0.0982805i | ||||
\(481\) | 0.612866 | + | 1.37652i | 0.0279443 | + | 0.0627638i | ||||
\(482\) | −7.10299 | − | 21.8608i | −0.323532 | − | 0.995730i | ||||
\(483\) | 21.5641 | + | 7.30612i | 0.981202 | + | 0.332440i | ||||
\(484\) | −7.41654 | + | 8.12373i | −0.337115 | + | 0.369260i | ||||
\(485\) | −7.33591 | − | 4.23539i | −0.333106 | − | 0.192319i | ||||
\(486\) | 7.30210 | − | 13.7724i | 0.331230 | − | 0.624729i | ||||
\(487\) | −2.57533 | + | 24.5026i | −0.116699 | + | 1.11032i | 0.766799 | + | 0.641887i | \(0.221848\pi\) |
−0.883499 | + | 0.468434i | \(0.844819\pi\) | |||||||
\(488\) | −1.27155 | − | 12.0980i | −0.0575602 | − | 0.547649i | ||||
\(489\) | 0.0858190 | + | 1.74626i | 0.00388087 | + | 0.0789685i | ||||
\(490\) | −8.02636 | + | 3.39695i | −0.362594 | + | 0.153459i | ||||
\(491\) | −10.8273 | − | 14.9025i | −0.488630 | − | 0.672541i | 0.491505 | − | 0.870875i | \(-0.336447\pi\) |
−0.980135 | + | 0.198334i | \(0.936447\pi\) | |||||||
\(492\) | −5.99431 | + | 5.95541i | −0.270244 | + | 0.268491i | ||||
\(493\) | 13.2049 | + | 11.8897i | 0.594719 | + | 0.535487i | ||||
\(494\) | 1.55559 | − | 0.898120i | 0.0699893 | − | 0.0404083i | ||||
\(495\) | −11.8196 | + | 3.71080i | −0.531253 | + | 0.166788i | ||||
\(496\) | − | 1.88272i | − | 0.0845367i | ||||||
\(497\) | 10.8825 | − | 27.5838i | 0.488145 | − | 1.23730i | ||||
\(498\) | 7.65776 | − | 28.2115i | 0.343152 | − | 1.26419i | ||||
\(499\) | −2.80675 | − | 26.7044i | −0.125647 | − | 1.19545i | −0.857680 | − | 0.514184i | \(-0.828095\pi\) |
0.732032 | − | 0.681270i | \(-0.238572\pi\) | |||||||
\(500\) | 10.2908 | − | 2.18737i | 0.460217 | − | 0.0978222i | ||||
\(501\) | 4.53585 | − | 2.92467i | 0.202647 | − | 0.130665i | ||||
\(502\) | 0.685500 | − | 0.0720489i | 0.0305953 | − | 0.00321570i | ||||
\(503\) | 2.55198 | + | 1.85413i | 0.113787 | + | 0.0826713i | 0.643224 | − | 0.765678i | \(-0.277597\pi\) |
−0.529436 | + | 0.848350i | \(0.677597\pi\) | |||||||
\(504\) | 7.81898 | + | 1.36510i | 0.348285 | + | 0.0608064i | ||||
\(505\) | −3.58462 | −0.159513 | ||||||||
\(506\) | −1.77887 | + | 16.3821i | −0.0790802 | + | 0.728274i | ||||
\(507\) | 17.3902 | + | 14.1763i | 0.772327 | + | 0.629592i | ||||
\(508\) | 11.4603 | − | 12.7280i | 0.508469 | − | 0.564712i | ||||
\(509\) | −22.0862 | + | 9.83342i | −0.978955 | + | 0.435859i | −0.832903 | − | 0.553418i | \(-0.813323\pi\) |
−0.146051 | + | 0.989277i | \(0.546656\pi\) | |||||||
\(510\) | 12.0159 | + | 7.85896i | 0.532074 | + | 0.348000i | ||||
\(511\) | 0.762235 | + | 0.397308i | 0.0337193 | + | 0.0175759i | ||||
\(512\) | −0.951057 | − | 0.309017i | −0.0420312 | − | 0.0136568i | ||||
\(513\) | −15.9233 | + | 40.3011i | −0.703033 | + | 1.77933i | ||||
\(514\) | 26.8422 | + | 2.82123i | 1.18396 | + | 0.124439i | ||||
\(515\) | 12.1696 | + | 10.9576i | 0.536259 | + | 0.482849i | ||||
\(516\) | 2.95580 | − | 18.2770i | 0.130122 | − | 0.804598i | ||||
\(517\) | 3.25743 | − | 5.59745i | 0.143262 | − | 0.246176i | ||||
\(518\) | 3.06445 | − | 18.2530i | 0.134644 | − | 0.801992i | ||||
\(519\) | −21.1432 | − | 26.2842i | −0.928085 | − | 1.15375i | ||||
\(520\) | 0.244996 | − | 0.109079i | 0.0107438 | − | 0.00478345i | ||||
\(521\) | −24.6068 | − | 10.9556i | −1.07804 | − | 0.479975i | −0.210630 | − | 0.977566i | \(-0.567552\pi\) |
−0.867412 | + | 0.497590i | \(0.834218\pi\) | |||||||
\(522\) | −4.74831 | + | 6.44681i | −0.207828 | + | 0.282169i | ||||
\(523\) | −9.31632 | + | 8.38845i | −0.407374 | + | 0.366801i | −0.847193 | − | 0.531285i | \(-0.821709\pi\) |
0.439819 | + | 0.898086i | \(0.355043\pi\) | |||||||
\(524\) | −5.46298 | + | 3.96908i | −0.238651 | + | 0.173390i | ||||
\(525\) | 1.45564 | + | 15.7416i | 0.0635293 | + | 0.687021i | ||||
\(526\) | −0.179920 | − | 0.553736i | −0.00784487 | − | 0.0241440i | ||||
\(527\) | 10.8554 | + | 6.26734i | 0.472867 | + | 0.273010i | ||||
\(528\) | 0.262222 | + | 5.73857i | 0.0114117 | + | 0.249739i | ||||
\(529\) | 0.842645 | + | 1.45950i | 0.0366367 | + | 0.0634567i | ||||
\(530\) | −11.9886 | − | 2.54825i | −0.520751 | − | 0.110689i | ||||
\(531\) | −3.09302 | + | 0.304746i | −0.134226 | + | 0.0132249i | ||||
\(532\) | −22.0221 | − | 1.35864i | −0.954779 | − | 0.0589046i | ||||
\(533\) | −0.999357 | − | 0.324711i | −0.0432870 | − | 0.0140648i | ||||
\(534\) | −8.35000 | + | 16.2568i | −0.361340 | + | 0.703499i | ||||
\(535\) | −0.692501 | + | 1.55538i | −0.0299394 | + | 0.0672451i | ||||
\(536\) | 3.45439 | + | 0.363071i | 0.149207 | + | 0.0156823i | ||||
\(537\) | 1.72510 | + | 11.1261i | 0.0744434 | + | 0.480126i | ||||
\(538\) | 1.39298i | 0.0600556i | ||||||||
\(539\) | 20.3560 | − | 11.1640i | 0.876793 | − | 0.480867i | ||||
\(540\) | −2.99331 | + | 5.73555i | −0.128812 | + | 0.246819i | ||||
\(541\) | −40.0469 | − | 8.51222i | −1.72175 | − | 0.365969i | −0.762163 | − | 0.647385i | \(-0.775862\pi\) |
−0.959586 | + | 0.281416i | \(0.909196\pi\) | |||||||
\(542\) | −1.23324 | + | 11.7335i | −0.0529720 | + | 0.503995i | ||||
\(543\) | −1.51492 | + | 27.2114i | −0.0650113 | + | 1.16775i | ||||
\(544\) | 4.94767 | − | 4.45490i | 0.212130 | − | 0.191002i | ||||
\(545\) | −2.14860 | + | 6.61270i | −0.0920357 | + | 0.283257i | ||||
\(546\) | 0.293247 | + | 0.942484i | 0.0125498 | + | 0.0403346i | ||||
\(547\) | −2.93640 | − | 2.13342i | −0.125551 | − | 0.0912185i | 0.523237 | − | 0.852187i | \(-0.324724\pi\) |
−0.648789 | + | 0.760969i | \(0.724724\pi\) | |||||||
\(548\) | −3.00850 | + | 14.1539i | −0.128517 | + | 0.604624i | ||||
\(549\) | −11.5029 | + | 34.6335i | −0.490932 | + | 1.47812i | ||||
\(550\) | −10.8937 | + | 3.49816i | −0.464508 | + | 0.149162i | ||||
\(551\) | 11.1286 | − | 19.2752i | 0.474092 | − | 0.821152i | ||||
\(552\) | 5.39387 | + | 6.70538i | 0.229578 | + | 0.285400i | ||||
\(553\) | −4.08905 | + | 14.7143i | −0.173884 | + | 0.625718i | ||||
\(554\) | 13.1251 | + | 18.0652i | 0.557634 | + | 0.767517i | ||||
\(555\) | 13.4196 | + | 6.89274i | 0.569630 | + | 0.292580i | ||||
\(556\) | −2.46021 | − | 11.5744i | −0.104336 | − | 0.490863i | ||||
\(557\) | −5.37049 | + | 12.0623i | −0.227555 | + | 0.511097i | −0.990852 | − | 0.134951i | \(-0.956912\pi\) |
0.763297 | + | 0.646047i | \(0.223579\pi\) | |||||||
\(558\) | −2.33086 | + | 5.14479i | −0.0986730 | + | 0.217796i | ||||
\(559\) | 2.18971 | − | 0.711479i | 0.0926147 | − | 0.0300924i | ||||
\(560\) | −3.24872 | − | 0.545419i | −0.137284 | − | 0.0230482i | ||||
\(561\) | −33.9602 | − | 17.5911i | −1.43380 | − | 0.742696i | ||||
\(562\) | −8.50663 | + | 14.7339i | −0.358830 | + | 0.621513i | ||||
\(563\) | 22.6207 | − | 25.1229i | 0.953350 | − | 1.05880i | −0.0448600 | − | 0.998993i | \(-0.514284\pi\) |
0.998210 | − | 0.0598090i | \(-0.0190492\pi\) | |||||||
\(564\) | −0.864722 | − | 3.26972i | −0.0364114 | − | 0.137680i | ||||
\(565\) | 6.71060 | − | 0.705313i | 0.282317 | − | 0.0296727i | ||||
\(566\) | −5.82462 | + | 17.9264i | −0.244827 | + | 0.753501i | ||||
\(567\) | −19.6764 | − | 13.4104i | −0.826331 | − | 0.563185i | ||||
\(568\) | 9.06726 | − | 6.58775i | 0.380454 | − | 0.276416i | ||||
\(569\) | −5.28791 | − | 11.8768i | −0.221681 | − | 0.497903i | 0.768130 | − | 0.640294i | \(-0.221188\pi\) |
−0.989810 | + | 0.142391i | \(0.954521\pi\) | |||||||
\(570\) | 6.49962 | − | 16.7688i | 0.272239 | − | 0.702366i | ||||
\(571\) | −7.43968 | − | 12.8859i | −0.311341 | − | 0.539258i | 0.667312 | − | 0.744778i | \(-0.267445\pi\) |
−0.978653 | + | 0.205520i | \(0.934111\pi\) | |||||||
\(572\) | −0.619893 | + | 0.355056i | −0.0259190 | + | 0.0148456i | ||||
\(573\) | 3.53439 | + | 9.29775i | 0.147651 | + | 0.388419i | ||||
\(574\) | 8.02959 | + | 10.1056i | 0.335149 | + | 0.421798i | ||||
\(575\) | −10.0746 | + | 13.8665i | −0.420139 | + | 0.578272i | ||||
\(576\) | 2.21632 | + | 2.02186i | 0.0923467 | + | 0.0842443i | ||||
\(577\) | 5.65674 | + | 26.6129i | 0.235493 | + | 1.10791i | 0.923915 | + | 0.382598i | \(0.124971\pi\) |
−0.688422 | + | 0.725311i | \(0.741696\pi\) | |||||||
\(578\) | 5.68131 | + | 26.7285i | 0.236311 | + | 1.11176i | ||||
\(579\) | −3.79814 | − | 7.51464i | −0.157845 | − | 0.312298i | ||||
\(580\) | 1.95322 | − | 2.68838i | 0.0811033 | − | 0.111629i | ||||
\(581\) | −41.5374 | − | 16.3875i | −1.72326 | − | 0.679866i | ||||
\(582\) | 11.0148 | − | 4.18710i | 0.456578 | − | 0.173561i | ||||
\(583\) | 32.4575 | + | 3.52443i | 1.34425 | + | 0.145967i | ||||
\(584\) | 0.162443 | + | 0.281359i | 0.00672194 | + | 0.0116427i | ||||
\(585\) | −0.804528 | − | 0.00523729i | −0.0332632 | − | 0.000216535i | ||||
\(586\) | 0.210901 | + | 0.473691i | 0.00871224 | + | 0.0195680i | ||||
\(587\) | 8.89587 | − | 6.46323i | 0.367172 | − | 0.266766i | −0.388865 | − | 0.921295i | \(-0.627133\pi\) |
0.756037 | + | 0.654529i | \(0.227133\pi\) | |||||||
\(588\) | 3.39218 | − | 11.6402i | 0.139891 | − | 0.480032i | ||||
\(589\) | 4.85180 | − | 14.9323i | 0.199915 | − | 0.615275i | ||||
\(590\) | 1.28284 | − | 0.134832i | 0.0528137 | − | 0.00555095i | ||||
\(591\) | −3.83548 | + | 1.01434i | −0.157770 | + | 0.0417245i | ||||
\(592\) | 4.68094 | − | 5.19871i | 0.192385 | − | 0.213666i | ||||
\(593\) | −6.99855 | + | 12.1218i | −0.287396 | + | 0.497784i | −0.973187 | − | 0.230014i | \(-0.926123\pi\) |
0.685791 | + | 0.727798i | \(0.259456\pi\) | |||||||
\(594\) | 6.38794 | − | 16.0061i | 0.262100 | − | 0.656737i | ||||
\(595\) | 13.9593 | − | 16.9158i | 0.572277 | − | 0.693479i | ||||
\(596\) | −20.7551 | + | 6.74373i | −0.850160 | + | 0.276234i | ||||
\(597\) | 2.33631 | + | 2.35157i | 0.0956188 | + | 0.0962433i | ||||
\(598\) | −0.435274 | + | 0.977641i | −0.0177997 | + | 0.0399787i | ||||
\(599\) | 3.55618 | + | 16.7305i | 0.145302 | + | 0.683590i | 0.989138 | + | 0.146990i | \(0.0469584\pi\) |
−0.843837 | + | 0.536600i | \(0.819708\pi\) | |||||||
\(600\) | −2.72998 | + | 5.31505i | −0.111451 | + | 0.216986i | ||||
\(601\) | −2.03136 | − | 2.79593i | −0.0828610 | − | 0.114048i | 0.765574 | − | 0.643347i | \(-0.222455\pi\) |
−0.848435 | + | 0.529299i | \(0.822455\pi\) | |||||||
\(602\) | −27.2487 | − | 7.57228i | −1.11057 | − | 0.308623i | ||||
\(603\) | −8.99009 | − | 5.26875i | −0.366105 | − | 0.214560i | ||||
\(604\) | −2.10928 | + | 3.65338i | −0.0858255 | + | 0.148654i | ||||
\(605\) | −12.5499 | + | 5.48437i | −0.510227 | + | 0.222971i | ||||
\(606\) | 3.15076 | − | 3.86508i | 0.127991 | − | 0.157008i | ||||
\(607\) | −8.88071 | + | 41.7805i | −0.360457 | + | 1.69582i | 0.307444 | + | 0.951566i | \(0.400526\pi\) |
−0.667901 | + | 0.744250i | \(0.732807\pi\) | |||||||
\(608\) | −6.74671 | − | 4.90177i | −0.273615 | − | 0.198793i | ||||
\(609\) | 8.98593 | + | 8.29687i | 0.364128 | + | 0.336206i | ||||
\(610\) | 4.68036 | − | 14.4047i | 0.189502 | − | 0.583228i | ||||
\(611\) | 0.312560 | − | 0.281430i | 0.0126448 | − | 0.0113854i | ||||
\(612\) | −19.0355 | + | 6.04828i | −0.769463 | + | 0.244487i | ||||
\(613\) | 3.03912 | − | 28.9153i | 0.122749 | − | 1.16788i | −0.743666 | − | 0.668552i | \(-0.766915\pi\) |
0.866415 | − | 0.499325i | \(-0.166419\pi\) | |||||||
\(614\) | −26.7010 | − | 5.67548i | −1.07757 | − | 0.229044i | ||||
\(615\) | −9.83413 | + | 3.73829i | −0.396550 | + | 0.150742i | ||||
\(616\) | 8.75640 | + | 0.570485i | 0.352805 | + | 0.0229855i | ||||
\(617\) | − | 19.3142i | − | 0.777559i | −0.921331 | − | 0.388780i | \(-0.872897\pi\) | ||
0.921331 | − | 0.388780i | \(-0.127103\pi\) | |||||||
\(618\) | −22.5116 | + | 3.49042i | −0.905551 | + | 0.140405i | ||||
\(619\) | 1.84086 | + | 0.193482i | 0.0739903 | + | 0.00777669i | 0.141451 | − | 0.989945i | \(-0.454823\pi\) |
−0.0674610 | + | 0.997722i | \(0.521490\pi\) | |||||||
\(620\) | 0.953452 | − | 2.14149i | 0.0382915 | − | 0.0860042i | ||||
\(621\) | −6.43804 | − | 25.0011i | −0.258350 | − | 1.00326i | ||||
\(622\) | −7.72048 | − | 2.50854i | −0.309563 | − | 0.100583i | ||||
\(623\) | 23.2712 | + | 15.4206i | 0.932342 | + | 0.617814i | ||||
\(624\) | −0.0977301 | + | 0.360042i | −0.00391234 | + | 0.0144132i | ||||
\(625\) | −4.05898 | − | 0.862763i | −0.162359 | − | 0.0345105i | ||||
\(626\) | −0.605796 | − | 1.04927i | −0.0242125 | − | 0.0419372i | ||||
\(627\) | −12.7086 | + | 46.1897i | −0.507534 | + | 1.84464i | ||||
\(628\) | 2.47184 | + | 1.42712i | 0.0986373 | + | 0.0569483i | ||||
\(629\) | 14.3923 | + | 44.2951i | 0.573860 | + | 1.76616i | ||||
\(630\) | 8.20233 | + | 5.51243i | 0.326789 | + | 0.219620i | ||||
\(631\) | 19.7537 | − | 14.3519i | 0.786381 | − | 0.571339i | −0.120506 | − | 0.992713i | \(-0.538452\pi\) |
0.906887 | + | 0.421373i | \(0.138452\pi\) | |||||||
\(632\) | −4.28962 | + | 3.86239i | −0.170632 | + | 0.153638i | ||||
\(633\) | −31.2300 | + | 20.1368i | −1.24128 | + | 0.800366i | ||||
\(634\) | −10.3822 | − | 4.62244i | −0.412328 | − | 0.183580i | ||||
\(635\) | 19.4812 | − | 8.67357i | 0.773086 | − | 0.344200i | ||||
\(636\) | 13.2852 | − | 10.6867i | 0.526793 | − | 0.423757i | ||||
\(637\) | 1.48035 | − | 0.286123i | 0.0586535 | − | 0.0113366i | ||||
\(638\) | −4.45225 | + | 7.65059i | −0.176266 | + | 0.302890i | ||||
\(639\) | −32.9333 | + | 6.77643i | −1.30282 | + | 0.268071i | ||||
\(640\) | −0.925279 | − | 0.833125i | −0.0365749 | − | 0.0329322i | ||||
\(641\) | −14.0941 | − | 1.48135i | −0.556684 | − | 0.0585099i | −0.177991 | − | 0.984032i | \(-0.556960\pi\) |
−0.378693 | + | 0.925522i | \(0.623626\pi\) | |||||||
\(642\) | −1.06839 | − | 2.11381i | −0.0421660 | − | 0.0834256i | ||||
\(643\) | −23.2718 | − | 7.56146i | −0.917749 | − | 0.298195i | −0.188206 | − | 0.982130i | \(-0.560267\pi\) |
−0.729543 | + | 0.683935i | \(0.760267\pi\) | |||||||
\(644\) | 11.0903 | − | 7.05705i | 0.437020 | − | 0.278087i | ||||
\(645\) | 12.6179 | − | 19.2921i | 0.496830 | − | 0.759626i | ||||
\(646\) | 50.7215 | − | 22.5827i | 1.99561 | − | 0.888503i | ||||
\(647\) | −19.3511 | + | 21.4915i | −0.760768 | + | 0.844919i | −0.991770 | − | 0.128035i | \(-0.959133\pi\) |
0.231001 | + | 0.972953i | \(0.425800\pi\) | |||||||
\(648\) | −3.55328 | − | 8.26887i | −0.139586 | − | 0.324832i | ||||
\(649\) | −3.36337 | + | 0.702815i | −0.132024 | + | 0.0275879i | ||||
\(650\) | −0.743052 | −0.0291449 | ||||||||
\(651\) | 7.41727 | + | 4.40700i | 0.290706 | + | 0.172724i | ||||
\(652\) | 0.816637 | + | 0.593322i | 0.0319820 | + | 0.0232363i | ||||
\(653\) | −36.0759 | + | 3.79173i | −1.41176 | + | 0.148382i | −0.779512 | − | 0.626387i | \(-0.784533\pi\) |
−0.632245 | + | 0.774768i | \(0.717866\pi\) | |||||||
\(654\) | −5.24153 | − | 8.12905i | −0.204960 | − | 0.317871i | ||||
\(655\) | −8.22385 | + | 1.74803i | −0.321333 | + | 0.0683013i | ||||
\(656\) | 0.509940 | + | 4.85175i | 0.0199098 | + | 0.189429i | ||||
\(657\) | −0.0955674 | − | 0.969961i | −0.00372844 | − | 0.0378418i | ||||
\(658\) | −5.10995 | + | 0.760919i | −0.199206 | + | 0.0296637i | ||||
\(659\) | − | 10.2870i | − | 0.400726i | −0.979722 | − | 0.200363i | \(-0.935788\pi\) | ||
0.979722 | − | 0.200363i | \(-0.0642122\pi\) | |||||||
\(660\) | −2.60788 | + | 6.66009i | −0.101512 | + | 0.259244i | ||||
\(661\) | 6.68898 | − | 3.86189i | 0.260171 | − | 0.150210i | −0.364241 | − | 0.931305i | \(-0.618672\pi\) |
0.624413 | + | 0.781095i | \(0.285338\pi\) | |||||||
\(662\) | 4.20673 | + | 3.78775i | 0.163499 | + | 0.147215i | ||||
\(663\) | −1.75059 | − | 1.76202i | −0.0679873 | − | 0.0684314i | ||||
\(664\) | −9.92023 | − | 13.6540i | −0.384980 | − | 0.529879i | ||||
\(665\) | −24.3608 | − | 12.6978i | −0.944672 | − | 0.492401i | ||||
\(666\) | −19.2274 | + | 8.41105i | −0.745047 | + | 0.325922i | ||||
\(667\) | 1.38608 | + | 13.1877i | 0.0536692 | + | 0.510628i | ||||
\(668\) | 0.325707 | − | 3.09889i | 0.0126020 | − | 0.119900i | ||||
\(669\) | 4.59895 | + | 1.78257i | 0.177805 | + | 0.0689180i | ||||
\(670\) | 3.74530 | + | 2.16235i | 0.144693 | + | 0.0835388i | ||||
\(671\) | −8.52408 | + | 39.4347i | −0.329068 | + | 1.52236i | ||||
\(672\) | 3.44361 | − | 3.02350i | 0.132840 | − | 0.116634i | ||||
\(673\) | 2.25596 | + | 6.94312i | 0.0869607 | + | 0.267638i | 0.985075 | − | 0.172124i | \(-0.0550630\pi\) |
−0.898115 | + | 0.439762i | \(0.855063\pi\) | |||||||
\(674\) | −7.98546 | − | 17.9356i | −0.307588 | − | 0.690855i | ||||
\(675\) | 14.0402 | − | 11.1443i | 0.540408 | − | 0.428945i | ||||
\(676\) | 12.6705 | − | 2.69321i | 0.487328 | − | 0.103585i | ||||
\(677\) | 7.32120 | + | 8.13101i | 0.281377 | + | 0.312500i | 0.867221 | − | 0.497923i | \(-0.165904\pi\) |
−0.585845 | + | 0.810423i | \(0.699237\pi\) | |||||||
\(678\) | −5.13791 | + | 7.85559i | −0.197320 | + | 0.301692i | ||||
\(679\) | −4.49761 | − | 17.4291i | −0.172602 | − | 0.668866i | ||||
\(680\) | 7.88375 | − | 2.56159i | 0.302328 | − | 0.0982323i | ||||
\(681\) | −4.13246 | + | 25.5527i | −0.158356 | + | 0.979183i | ||||
\(682\) | −1.95002 | + | 5.93199i | −0.0746701 | + | 0.227148i | ||||
\(683\) | 19.5151 | − | 11.2670i | 0.746723 | − | 0.431121i | −0.0777857 | − | 0.996970i | \(-0.524785\pi\) |
0.824509 | + | 0.565849i | \(0.191452\pi\) | |||||||
\(684\) | 12.3678 | + | 21.7473i | 0.472894 | + | 0.831531i | ||||
\(685\) | −10.5898 | + | 14.5757i | −0.404617 | + | 0.556908i | ||||
\(686\) | −17.0992 | − | 7.11459i | −0.652850 | − | 0.271636i | ||||
\(687\) | −23.1783 | + | 1.13909i | −0.884309 | + | 0.0434590i | ||||
\(688\) | −7.15254 | − | 7.94370i | −0.272688 | − | 0.302851i | ||||
\(689\) | 1.93698 | + | 0.862398i | 0.0737930 | + | 0.0328547i | ||||
\(690\) | 2.73946 | + | 10.3586i | 0.104290 | + | 0.394343i | ||||
\(691\) | 2.66061 | − | 12.5172i | 0.101214 | − | 0.476176i | −0.898122 | − | 0.439747i | \(-0.855068\pi\) |
0.999336 | − | 0.0364294i | \(-0.0115984\pi\) | |||||||
\(692\) | −19.4756 | −0.740350 | ||||||||
\(693\) | −23.2218 | − | 12.3996i | −0.882122 | − | 0.471021i | ||||
\(694\) | −18.1354 | −0.688410 | ||||||||
\(695\) | 3.06317 | − | 14.4111i | 0.116193 | − | 0.546644i | ||||
\(696\) | 1.18190 | + | 4.46905i | 0.0447998 | + | 0.169399i | ||||
\(697\) | −29.6717 | − | 13.2107i | −1.12389 | − | 0.500390i | ||||
\(698\) | −12.3401 | − | 13.7051i | −0.467080 | − | 0.518745i | ||||
\(699\) | −0.693548 | + | 0.0340841i | −0.0262324 | + | 0.00128918i | ||||
\(700\) | 7.60838 | + | 5.04168i | 0.287570 | + | 0.190557i | ||||
\(701\) | 19.0798 | − | 26.2611i | 0.720634 | − | 0.991868i | −0.278868 | − | 0.960329i | \(-0.589959\pi\) |
0.999503 | − | 0.0315386i | \(-0.0100407\pi\) | |||||||
\(702\) | 0.712802 | − | 0.862871i | 0.0269030 | − | 0.0325670i | ||||
\(703\) | 50.5227 | − | 29.1693i | 1.90550 | − | 1.10014i | ||||
\(704\) | 2.67648 | + | 1.95869i | 0.100874 | + | 0.0738208i | ||||
\(705\) | 0.672286 | − | 4.15703i | 0.0253198 | − | 0.156563i | ||||
\(706\) | −0.827019 | + | 0.268715i | −0.0311253 | + | 0.0101132i | ||||
\(707\) | −5.33605 | − | 5.43576i | −0.200683 | − | 0.204433i | ||||
\(708\) | −0.982195 | + | 1.50172i | −0.0369131 | + | 0.0564382i | ||||
\(709\) | −19.3274 | − | 21.4653i | −0.725856 | − | 0.806145i | 0.261409 | − | 0.965228i | \(-0.415813\pi\) |
−0.987265 | + | 0.159083i | \(0.949146\pi\) | |||||||
\(710\) | 13.6497 | − | 2.90133i | 0.512263 | − | 0.108885i | ||||
\(711\) | 16.5037 | − | 5.24385i | 0.618937 | − | 0.196660i | ||||
\(712\) | 4.29170 | + | 9.63931i | 0.160838 | + | 0.361249i | ||||
\(713\) | 2.89060 | + | 8.89635i | 0.108254 | + | 0.333171i | ||||
\(714\) | 5.96945 | + | 29.9199i | 0.223401 | + | 1.11973i | ||||
\(715\) | −0.884901 | + | 0.0899282i | −0.0330934 | + | 0.00336312i | ||||
\(716\) | 5.62952 | + | 3.25020i | 0.210385 | + | 0.121466i | ||||
\(717\) | 33.8771 | + | 13.1309i | 1.26516 | + | 0.490382i | ||||
\(718\) | −1.55070 | + | 14.7539i | −0.0578716 | + | 0.550612i | ||||
\(719\) | −0.620032 | − | 5.89921i | −0.0231233 | − | 0.220003i | −0.999981 | − | 0.00611464i | \(-0.998054\pi\) |
0.976858 | − | 0.213889i | \(-0.0686130\pi\) | |||||||
\(720\) | 1.49702 | + | 3.42214i | 0.0557907 | + | 0.127536i | ||||
\(721\) | 1.49945 | + | 34.7657i | 0.0558423 | + | 1.29474i | ||||
\(722\) | −29.7099 | − | 40.8921i | −1.10569 | − | 1.52185i | ||||
\(723\) | 28.0599 | + | 28.2432i | 1.04356 | + | 1.05037i | ||||
\(724\) | 11.6933 | + | 10.5287i | 0.434576 | + | 0.391294i | ||||
\(725\) | −7.97359 | + | 4.60356i | −0.296132 | + | 0.170972i | ||||
\(726\) | 5.11751 | − | 18.3524i | 0.189928 | − | 0.681122i | ||||
\(727\) | − | 35.2401i | − | 1.30698i | −0.756934 | − | 0.653491i | \(-0.773304\pi\) | ||
0.756934 | − | 0.653491i | \(-0.226696\pi\) | |||||||
\(728\) | 0.530110 | + | 0.209141i | 0.0196472 | + | 0.00775127i | ||||
\(729\) | −0.527250 | + | 26.9949i | −0.0195278 | + | 0.999809i | ||||
\(730\) | 0.0422829 | + | 0.402295i | 0.00156496 | + | 0.0148896i | ||||
\(731\) | 69.6115 | − | 14.7964i | 2.57468 | − | 0.547264i | ||||
\(732\) | 11.4178 | + | 17.7078i | 0.422014 | + | 0.654499i | ||||
\(733\) | 44.3796 | − | 4.66448i | 1.63920 | − | 0.172287i | 0.760391 | − | 0.649466i | \(-0.225007\pi\) |
0.878806 | + | 0.477179i | \(0.158341\pi\) | |||||||
\(734\) | 8.06506 | + | 5.85961i | 0.297687 | + | 0.216282i | ||||
\(735\) | 9.75324 | − | 11.5221i | 0.359754 | − | 0.425000i | ||||
\(736\) | 4.96843 | 0.183139 | ||||||||
\(737\) | −10.5079 | − | 4.72181i | −0.387062 | − | 0.173930i | ||||
\(738\) | 4.61311 | − | 13.8894i | 0.169811 | − | 0.511276i | ||||
\(739\) | −0.170323 | + | 0.189162i | −0.00626542 | + | 0.00695845i | −0.746269 | − | 0.665644i | \(-0.768157\pi\) |
0.740004 | + | 0.672602i | \(0.234824\pi\) | |||||||
\(740\) | 7.95703 | − | 3.54270i | 0.292506 | − | 0.130232i | ||||
\(741\) | −1.70295 | + | 2.60373i | −0.0625596 | + | 0.0956503i | ||||
\(742\) | −13.9820 | − | 21.9730i | −0.513294 | − | 0.806654i | ||||
\(743\) | 0.346996 | + | 0.112746i | 0.0127301 | + | 0.00413625i | 0.315375 | − | 0.948967i | \(-0.397870\pi\) |
−0.302645 | + | 0.953103i | \(0.597870\pi\) | |||||||
\(744\) | 1.47098 | + | 2.91035i | 0.0539289 | + | 0.106699i | ||||
\(745\) | −27.0229 | − | 2.84022i | −0.990041 | − | 0.104057i | ||||
\(746\) | 8.99189 | + | 8.09633i | 0.329216 | + | 0.296428i | ||||
\(747\) | 10.2044 | + | 49.5930i | 0.373358 | + | 1.81451i | ||||
\(748\) | −20.2030 | + | 8.91176i | −0.738696 | + | 0.325846i | ||||
\(749\) | −3.38946 | + | 1.26522i | −0.123848 | + | 0.0462301i | ||||
\(750\) | −14.1987 | + | 11.4215i | −0.518462 | + | 0.417056i | ||||
\(751\) | 8.84640 | − | 3.93867i | 0.322810 | − | 0.143724i | −0.238933 | − | 0.971036i | \(-0.576798\pi\) |
0.561743 | + | 0.827312i | \(0.310131\pi\) | |||||||
\(752\) | −1.78386 | − | 0.794224i | −0.0650505 | − | 0.0289624i | ||||
\(753\) | −1.00337 | + | 0.646961i | −0.0365647 | + | 0.0235766i | ||||
\(754\) | −0.427206 | + | 0.384658i | −0.0155579 | + | 0.0140084i | ||||
\(755\) | −4.24934 | + | 3.08733i | −0.154649 | + | 0.112359i | ||||
\(756\) | −13.1533 | + | 3.99883i | −0.478381 | + | 0.145436i | ||||
\(757\) | −8.36370 | − | 25.7408i | −0.303984 | − | 0.935566i | −0.980054 | − | 0.198729i | \(-0.936319\pi\) |
0.676071 | − | 0.736837i | \(-0.263681\pi\) | |||||||
\(758\) | −27.3352 | − | 15.7820i | −0.992861 | − | 0.573228i | ||||
\(759\) | −10.0497 | − | 26.7136i | −0.364780 | − | 0.969644i | ||||
\(760\) | −5.19163 | − | 8.99217i | −0.188320 | − | 0.326180i | ||||
\(761\) | −36.1344 | − | 7.68061i | −1.30987 | − | 0.278422i | −0.500509 | − | 0.865731i | \(-0.666854\pi\) |
−0.809362 | + | 0.587310i | \(0.800187\pi\) | |||||||
\(762\) | −7.77112 | + | 28.6292i | −0.281518 | + | 1.03712i | ||||
\(763\) | −13.2260 | + | 6.58548i | −0.478813 | + | 0.238411i | ||||
\(764\) | 5.46175 | + | 1.77463i | 0.197599 | + | 0.0642039i | ||||
\(765\) | −24.7147 | − | 2.76040i | −0.893563 | − | 0.0998024i | ||||
\(766\) | −1.41716 | + | 3.18300i | −0.0512042 | + | 0.115007i | ||||
\(767\) | −0.221924 | − | 0.0233251i | −0.00801320 | − | 0.000842221i | ||||
\(768\) | 1.71160 | − | 0.265383i | 0.0617620 | − | 0.00957618i | ||||
\(769\) | − | 40.4284i | − | 1.45788i | −0.684575 | − | 0.728942i | \(-0.740012\pi\) | ||
0.684575 | − | 0.728942i | \(-0.259988\pi\) | |||||||
\(770\) | 9.67100 | + | 5.08333i | 0.348518 | + | 0.183190i | ||||
\(771\) | −43.6974 | + | 16.6109i | −1.57372 | + | 0.598226i | ||||
\(772\) | −4.75503 | − | 1.01071i | −0.171137 | − | 0.0363764i | ||||
\(773\) | 2.53023 | − | 24.0735i | 0.0910061 | − | 0.865865i | −0.849842 | − | 0.527037i | \(-0.823303\pi\) |
0.940848 | − | 0.338828i | \(-0.110030\pi\) | |||||||
\(774\) | 9.71079 | + | 30.5623i | 0.349047 | + | 1.09854i | ||||
\(775\) | −4.82668 | + | 4.34596i | −0.173380 | + | 0.156112i | ||||
\(776\) | 2.10236 | − | 6.47039i | 0.0754702 | − | 0.232273i | ||||
\(777\) | 9.52413 | + | 30.6102i | 0.341676 | + | 1.09813i | ||||
\(778\) | −25.4969 | − | 18.5246i | −0.914109 | − | 0.664139i | ||||
\(779\) | −8.45858 | + | 39.7945i | −0.303060 | + | 1.42579i | ||||
\(780\) | −0.293496 | + | 0.360034i | −0.0105088 | + | 0.0128913i | ||||
\(781\) | −35.3919 | + | 11.3650i | −1.26642 | + | 0.406671i | ||||
\(782\) | −16.5393 | + | 28.6469i | −0.591443 | + | 1.02441i | ||||
\(783\) | 2.30309 | − | 13.6755i | 0.0823056 | − | 0.488722i | ||||
\(784\) | −4.00896 | − | 5.73832i | −0.143177 | − | 0.204940i | ||||
\(785\) | 2.08886 | + | 2.87506i | 0.0745545 | + | 0.102615i | ||||
\(786\) | 5.34370 | − | 10.4038i | 0.190604 | − | 0.371090i | ||||
\(787\) | −5.05016 | − | 23.7591i | −0.180019 | − | 0.846922i | −0.971743 | − | 0.236043i | \(-0.924149\pi\) |
0.791724 | − | 0.610879i | \(-0.209184\pi\) | |||||||
\(788\) | −0.931648 | + | 2.09252i | −0.0331886 | + | 0.0745428i | ||||
\(789\) | 0.710761 | + | 0.715403i | 0.0253038 | + | 0.0254690i | ||||
\(790\) | −6.83519 | + | 2.22089i | −0.243185 | + | 0.0790157i | ||||
\(791\) | 11.0589 | + | 9.12613i | 0.393210 | + | 0.324488i | ||||
\(792\) | −4.88894 | − | 8.66593i | −0.173721 | − | 0.307930i | ||||
\(793\) | −1.31008 | + | 2.26913i | −0.0465223 | + | 0.0805790i | ||||
\(794\) | −10.2330 | + | 11.3649i | −0.363154 | + | 0.403324i | ||||
\(795\) | 20.5232 | − | 5.42763i | 0.727882 | − | 0.192498i | ||||
\(796\) | 1.90334 | − | 0.200050i | 0.0674623 | − | 0.00709057i | ||||
\(797\) | 2.76765 | − | 8.51795i | 0.0980352 | − | 0.301721i | −0.889998 | − | 0.455965i | \(-0.849294\pi\) |
0.988033 | + | 0.154244i | \(0.0492941\pi\) | |||||||
\(798\) | 35.1037 | − | 15.1058i | 1.24266 | − | 0.534740i | ||||
\(799\) | 10.5175 | − | 7.64145i | 0.372084 | − | 0.270335i | ||||
\(800\) | 1.40314 | + | 3.15151i | 0.0496086 | + | 0.111423i | ||||
\(801\) | 0.206060 | − | 31.6540i | 0.00728077 | − | 1.11844i | ||||
\(802\) | 2.25762 | + | 3.91032i | 0.0797195 | + | 0.138078i | ||||
\(803\) | −0.220401 | − | 1.05474i | −0.00777777 | − | 0.0372211i | ||||
\(804\) | −5.62353 | + | 2.13770i | −0.198327 | + | 0.0753907i | ||||
\(805\) | 16.1884 | − | 2.41061i | 0.570568 | − | 0.0849628i | ||||
\(806\) | −0.238361 | + | 0.328076i | −0.00839590 | + | 0.0115560i | ||||
\(807\) | −1.08835 | − | 2.15330i | −0.0383116 | − | 0.0757996i | ||||
\(808\) | −0.598580 | − | 2.81610i | −0.0210580 | − | 0.0990700i | ||||
\(809\) | 4.53880 | + | 21.3534i | 0.159576 | + | 0.750744i | 0.983042 | + | 0.183379i | \(0.0587037\pi\) |
−0.823467 | + | 0.567365i | \(0.807963\pi\) | |||||||
\(810\) | 0.145888 | − | 11.2048i | 0.00512597 | − | 0.393697i | ||||
\(811\) | −9.30208 | + | 12.8032i | −0.326640 | + | 0.449582i | −0.940480 | − | 0.339849i | \(-0.889624\pi\) |
0.613840 | + | 0.789431i | \(0.289624\pi\) | |||||||
\(812\) | 6.98427 | − | 1.04002i | 0.245100 | − | 0.0364976i | ||||
\(813\) | −7.26108 | − | 19.1014i | −0.254657 | − | 0.669914i | ||||
\(814\) | −20.1330 | + | 11.5316i | −0.705661 | + | 0.404181i | ||||
\(815\) | 0.628407 | + | 1.08843i | 0.0220121 | + | 0.0381261i | ||||
\(816\) | −4.16756 | + | 10.7521i | −0.145894 | + | 0.376400i | ||||
\(817\) | −36.2575 | − | 81.4356i | −1.26849 | − | 2.84907i | ||||
\(818\) | −5.52382 | + | 4.01329i | −0.193136 | + | 0.140321i | ||||
\(819\) | −1.18968 | − | 1.22779i | −0.0415707 | − | 0.0429026i | ||||
\(820\) | −1.87701 | + | 5.77684i | −0.0655479 | + | 0.201736i | ||||
\(821\) | 39.0590 | − | 4.10527i | 1.36317 | − | 0.143275i | 0.605464 | − | 0.795872i | \(-0.292987\pi\) |
0.757705 | + | 0.652598i | \(0.226321\pi\) | |||||||
\(822\) | −6.40794 | − | 24.2299i | −0.223502 | − | 0.845116i | ||||
\(823\) | 26.2782 | − | 29.1849i | 0.916000 | − | 1.01732i | −0.0837828 | − | 0.996484i | \(-0.526700\pi\) |
0.999783 | − | 0.0208371i | \(-0.00663315\pi\) | |||||||
\(824\) | −6.57620 | + | 11.3903i | −0.229093 | + | 0.396800i | ||||
\(825\) | 14.1065 | − | 13.9188i | 0.491126 | − | 0.484592i | ||||
\(826\) | 2.11410 | + | 1.74461i | 0.0735588 | + | 0.0607027i | ||||
\(827\) | −41.3663 | + | 13.4407i | −1.43845 | + | 0.467380i | −0.921413 | − | 0.388584i | \(-0.872964\pi\) |
−0.517035 | + | 0.855964i | \(0.672964\pi\) | |||||||
\(828\) | −13.5769 | − | 6.15104i | −0.471830 | − | 0.213763i | ||||
\(829\) | −11.0800 | + | 24.8862i | −0.384826 | + | 0.864333i | 0.612446 | + | 0.790513i | \(0.290186\pi\) |
−0.997272 | + | 0.0738203i | \(0.976481\pi\) | |||||||
\(830\) | −4.36899 | − | 20.5545i | −0.151650 | − | 0.713457i | ||||
\(831\) | −34.4036 | − | 17.6708i | −1.19345 | − | 0.612993i | ||||
\(832\) | 0.126604 | + | 0.174256i | 0.00438922 | + | 0.00604124i | ||||
\(833\) | 46.4312 | − | 4.01262i | 1.60874 | − | 0.139029i | ||||
\(834\) | 12.8462 | + | 15.9697i | 0.444827 | + | 0.552986i | ||||
\(835\) | 1.93982 | − | 3.35987i | 0.0671302 | − | 0.116273i | ||||
\(836\) | 16.1802 | + | 22.4321i | 0.559605 | + | 0.775832i | ||||
\(837\) | −0.416581 | − | 9.77404i | −0.0143991 | − | 0.337840i | ||||
\(838\) | −1.84041 | + | 8.65845i | −0.0635759 | + | 0.299101i | ||||
\(839\) | 37.4246 | + | 27.1906i | 1.29204 | + | 0.938723i | 0.999844 | − | 0.0176356i | \(-0.00561386\pi\) |
0.292197 | + | 0.956358i | \(0.405614\pi\) | |||||||
\(840\) | 5.44808 | − | 1.69513i | 0.187977 | − | 0.0584875i | ||||
\(841\) | 6.76034 | − | 20.8062i | 0.233115 | − | 0.717454i | ||||
\(842\) | 14.5321 | − | 13.0847i | 0.500808 | − | 0.450930i | ||||
\(843\) | 1.63800 | − | 29.4223i | 0.0564157 | − | 1.01336i | ||||
\(844\) | −2.24254 | + | 21.3363i | −0.0771914 | + | 0.734427i | ||||
\(845\) | 15.7759 | + | 3.35327i | 0.542708 | + | 0.115356i | ||||
\(846\) | 3.89136 | + | 4.37878i | 0.133788 | + | 0.150546i | ||||
\(847\) | −26.9984 | − | 10.8669i | −0.927675 | − | 0.373390i | ||||
\(848\) | − | 9.84384i | − | 0.338039i | ||||||
\(849\) | −5.00217 | − | 32.2617i | −0.171674 | − | 1.10722i | ||||
\(850\) | −22.8418 | − | 2.40077i | −0.783468 | − | 0.0823458i | ||||
\(851\) | −14.1369 | + | 31.7520i | −0.484607 | + | 1.08844i | ||||
\(852\) | −8.86930 | + | 17.2678i | −0.303857 | + | 0.591585i | ||||
\(853\) | 39.4910 | + | 12.8314i | 1.35215 | + | 0.439339i | 0.893413 | − | 0.449236i | \(-0.148304\pi\) |
0.458732 | + | 0.888574i | \(0.348304\pi\) | |||||||
\(854\) | 28.8106 | − | 14.3454i | 0.985879 | − | 0.490889i | ||||
\(855\) | 3.05431 | + | 30.9997i | 0.104455 | + | 1.06017i | ||||
\(856\) | −1.33756 | − | 0.284306i | −0.0457167 | − | 0.00971739i | ||||
\(857\) | −15.7192 | − | 27.2265i | −0.536958 | − | 0.930038i | −0.999066 | − | 0.0432146i | \(-0.986240\pi\) |
0.462108 | − | 0.886824i | \(-0.347093\pi\) | |||||||
\(858\) | 0.680835 | − | 1.03318i | 0.0232433 | − | 0.0352722i | ||||
\(859\) | 7.59837 | + | 4.38692i | 0.259253 | + | 0.149680i | 0.623994 | − | 0.781429i | \(-0.285509\pi\) |
−0.364741 | + | 0.931109i | \(0.618842\pi\) | |||||||
\(860\) | −4.11274 | − | 12.6577i | −0.140243 | − | 0.431624i | ||||
\(861\) | −20.3079 | − | 9.34781i | −0.692090 | − | 0.318572i | ||||
\(862\) | 1.76746 | − | 1.28413i | 0.0601998 | − | 0.0437377i | ||||
\(863\) | −8.19366 | + | 7.37760i | −0.278915 | + | 0.251137i | −0.796701 | − | 0.604374i | \(-0.793423\pi\) |
0.517785 | + | 0.855511i | \(0.326757\pi\) | |||||||
\(864\) | −5.00573 | − | 1.39381i | −0.170298 | − | 0.0474183i | ||||
\(865\) | −22.1523 | − | 9.86286i | −0.753202 | − | 0.335347i | ||||
\(866\) | −6.56122 | + | 2.92124i | −0.222959 | + | 0.0992679i | ||||
\(867\) | −29.6654 | − | 36.8785i | −1.00749 | − | 1.25246i | ||||
\(868\) | 4.66669 | − | 1.74199i | 0.158398 | − | 0.0591268i | ||||
\(869\) | 17.5160 | − | 7.72648i | 0.594189 | − | 0.262103i | ||||
\(870\) | −0.918880 | + | 5.68183i | −0.0311529 | + | 0.192632i | ||||
\(871\) | −0.555981 | − | 0.500608i | −0.0188387 | − | 0.0169624i | ||||
\(872\) | −5.55376 | − | 0.583724i | −0.188074 | − | 0.0197674i | ||||
\(873\) | −13.7555 | + | 15.0784i | −0.465552 | + | 0.510328i | ||||
\(874\) | 39.4058 | + | 12.8037i | 1.33292 | + | 0.433092i | ||||
\(875\) | 14.9433 | + | 23.4838i | 0.505177 | + | 0.793897i | ||||
\(876\) | −0.470936 | − | 0.308013i | −0.0159114 | − | 0.0104068i | ||||
\(877\) | −19.2218 | + | 8.55811i | −0.649075 | + | 0.288987i | −0.704743 | − | 0.709462i | \(-0.748938\pi\) |
0.0556681 | + | 0.998449i | \(0.482271\pi\) | |||||||
\(878\) | −5.89965 | + | 6.55222i | −0.199104 | + | 0.221127i | ||||
\(879\) | −0.696113 | − | 0.567463i | −0.0234793 | − | 0.0191400i | ||||
\(880\) | 2.05242 | + | 3.58332i | 0.0691870 | + | 0.120794i | ||||
\(881\) | −1.33960 | −0.0451322 | −0.0225661 | − | 0.999745i | \(-0.507184\pi\) | ||||
−0.0225661 | + | 0.999745i | \(0.507184\pi\) | |||||||
\(882\) | 3.85084 | + | 20.6439i | 0.129664 | + | 0.695117i | ||||
\(883\) | 37.3688 | + | 27.1500i | 1.25756 | + | 0.913670i | 0.998635 | − | 0.0522280i | \(-0.0166322\pi\) |
0.258924 | + | 0.965898i | \(0.416632\pi\) | |||||||
\(884\) | −1.42617 | + | 0.149897i | −0.0479673 | + | 0.00504157i | ||||
\(885\) | −1.87770 | + | 1.21072i | −0.0631181 | + | 0.0406979i | ||||
\(886\) | −26.2866 | + | 5.58740i | −0.883117 | + | 0.187712i | ||||
\(887\) | −4.77460 | − | 45.4273i | −0.160316 | − | 1.52530i | −0.718467 | − | 0.695561i | \(-0.755156\pi\) |
0.558151 | − | 0.829739i | \(-0.311511\pi\) | |||||||
\(888\) | −3.17410 | + | 11.6935i | −0.106516 | + | 0.392409i | ||||
\(889\) | 42.1523 | + | 16.6301i | 1.41374 | + | 0.557754i | ||||
\(890\) | 13.1376i | 0.440373i | ||||||||
\(891\) | 2.63105 | + | 29.7334i | 0.0881436 | + | 0.996108i | ||||
\(892\) | 2.46616 | − | 1.42384i | 0.0825732 | − | 0.0476737i | ||||
\(893\) | −12.1015 | − | 10.8962i | −0.404960 | − | 0.364627i | ||||
\(894\) | 26.8147 | − | 26.6407i | 0.896816 | − | 0.890997i | ||||
\(895\) | 4.75728 | + | 6.54783i | 0.159018 | + | 0.218870i | ||||
\(896\) | −0.114005 | − | 2.64329i | −0.00380865 | − | 0.0883063i | ||||
\(897\) | −0.0909832 | − | 1.85134i | −0.00303784 | − | 0.0618144i | ||||
\(898\) | 1.10299 | + | 10.4943i | 0.0368074 | + | 0.350199i | ||||
\(899\) | −0.525237 | + | 4.99729i | −0.0175176 | + | 0.166669i | ||||
\(900\) | 0.0673700 | − | 10.3491i | 0.00224567 | − | 0.344969i | ||||
\(901\) | 56.7574 | + | 32.7689i | 1.89086 | + | 1.09169i | ||||
\(902\) | 3.41849 | − | 15.8148i | 0.113823 | − | 0.526576i | ||||
\(903\) | 48.0378 | − | 9.58421i | 1.59860 | − | 0.318943i | ||||
\(904\) | 1.67467 | + | 5.15412i | 0.0556988 | + | 0.171423i | ||||
\(905\) | 7.96846 | + | 17.8975i | 0.264881 | + | 0.594932i | ||||
\(906\) | 0.406154 | − | 7.29547i | 0.0134936 | − | 0.242376i | ||||
\(907\) | 48.2593 | − | 10.2578i | 1.60242 | − | 0.340606i | 0.681947 | − | 0.731401i | \(-0.261133\pi\) |
0.920478 | + | 0.390795i | \(0.127800\pi\) | |||||||
\(908\) | 9.99987 | + | 11.1060i | 0.331857 | + | 0.368565i | ||||
\(909\) | −1.85070 | + | 8.43643i | −0.0613838 | + | 0.279819i | ||||
\(910\) | 0.497057 | + | 0.506345i | 0.0164773 | + | 0.0167852i | ||||
\(911\) | 9.09751 | − | 2.95596i | 0.301414 | − | 0.0979353i | −0.154406 | − | 0.988008i | \(-0.549346\pi\) |
0.455819 | + | 0.890072i | \(0.349346\pi\) | |||||||
\(912\) | 14.2590 | + | 2.30600i | 0.472162 | + | 0.0763593i | ||||
\(913\) | 17.1141 | + | 53.2953i | 0.566394 | + | 1.76382i | ||||
\(914\) | 9.61010 | − | 5.54839i | 0.317874 | − | 0.183525i | ||||
\(915\) | 4.01948 | + | 25.9238i | 0.132880 | + | 0.857015i | ||||
\(916\) | −7.87525 | + | 10.8394i | −0.260206 | + | 0.358142i | ||||
\(917\) | −14.8927 | − | 9.86865i | −0.491802 | − | 0.325891i | ||||
\(918\) | 24.6998 | − | 24.2221i | 0.815215 | − | 0.799448i | ||||
\(919\) | −12.6511 | − | 14.0504i | −0.417320 | − | 0.463481i | 0.497428 | − | 0.867505i | \(-0.334278\pi\) |
−0.914748 | + | 0.404024i | \(0.867611\pi\) | |||||||
\(920\) | 5.65130 | + | 2.51612i | 0.186318 | + | 0.0829541i | ||||
\(921\) | 45.7092 | − | 12.0884i | 1.50617 | − | 0.398327i | ||||
\(922\) | −2.01697 | + | 9.48909i | −0.0664253 | + | 0.312507i | ||||
\(923\) | −2.41406 | −0.0794599 | ||||||||
\(924\) | −13.9815 | + | 5.95957i | −0.459959 | + | 0.196056i | ||||
\(925\) | −24.1330 | −0.793487 | ||||||||
\(926\) | 1.06669 | − | 5.01839i | 0.0350536 | − | 0.164914i | ||||
\(927\) | 32.0719 | − | 22.9841i | 1.05338 | − | 0.754896i | ||||
\(928\) | 2.43817 | + | 1.08554i | 0.0800369 | + | 0.0356347i | ||||
\(929\) | −11.1147 | − | 12.3442i | −0.364662 | − | 0.404999i | 0.532692 | − | 0.846309i | \(-0.321180\pi\) |
−0.897354 | + | 0.441311i | \(0.854514\pi\) | |||||||
\(930\) | 0.199296 | + | 4.05529i | 0.00653516 | + | 0.132978i | ||||
\(931\) | −17.0082 | − | 55.8431i | −0.557423 | − | 1.83018i | ||||
\(932\) | −0.235645 | + | 0.324338i | −0.00771882 | + | 0.0106240i | ||||
\(933\) | 13.8944 | − | 2.15432i | 0.454883 | − | 0.0705294i | ||||
\(934\) | −4.15499 | + | 2.39888i | −0.135955 | + | 0.0784938i | ||||
\(935\) | −27.4929 | − | 0.0946380i | −0.899113 | − | 0.00309499i | ||||
\(936\) | −0.130230 | − | 0.632917i | −0.00425671 | − | 0.0206876i | ||||
\(937\) | −37.0688 | + | 12.0444i | −1.21098 | + | 0.393472i | −0.843791 | − | 0.536672i | \(-0.819681\pi\) |
−0.367193 | + | 0.930145i | \(0.619681\pi\) | |||||||
\(938\) | 2.29622 | + | 8.89829i | 0.0749744 | + | 0.290539i | ||||
\(939\) | 1.75625 | + | 1.14867i | 0.0573131 | + | 0.0374854i | ||||
\(940\) | −1.62682 | − | 1.80677i | −0.0530611 | − | 0.0589303i | ||||
\(941\) | 12.0773 | − | 2.56710i | 0.393707 | − | 0.0836851i | −0.00680405 | − | 0.999977i | \(-0.502166\pi\) |
0.400511 | + | 0.916292i | \(0.368832\pi\) | |||||||
\(942\) | −4.93605 | − | 0.274800i | −0.160825 | − | 0.00895347i | ||||
\(943\) | −9.85864 | − | 22.1429i | −0.321041 | − | 0.721071i | ||||
\(944\) | 0.320141 | + | 0.985294i | 0.0104197 | + | 0.0320686i | ||||
\(945\) | −16.9862 | − | 2.11268i | −0.552562 | − | 0.0687256i | ||||
\(946\) | 14.3082 | + | 32.4368i | 0.465201 | + | 1.05461i | ||||
\(947\) | −39.1579 | − | 22.6078i | −1.27246 | − | 0.734656i | −0.297010 | − | 0.954874i | \(-0.595990\pi\) |
−0.975451 | + | 0.220219i | \(0.929323\pi\) | |||||||
\(948\) | 3.61326 | − | 9.32207i | 0.117353 | − | 0.302767i | ||||
\(949\) | 0.00731468 | − | 0.0695946i | 0.000237445 | − | 0.00225913i | ||||
\(950\) | 3.00717 | + | 28.6113i | 0.0975655 | + | 0.928274i | ||||
\(951\) | 19.6605 | − | 0.966206i | 0.637535 | − | 0.0313314i | ||||
\(952\) | 15.6202 | + | 8.14186i | 0.506252 | + | 0.263879i | ||||
\(953\) | −4.83619 | − | 6.65644i | −0.156659 | − | 0.215623i | 0.723471 | − | 0.690354i | \(-0.242545\pi\) |
−0.880131 | + | 0.474731i | \(0.842545\pi\) | |||||||
\(954\) | −12.1869 | + | 26.8996i | −0.394566 | + | 0.870907i | ||||
\(955\) | 5.31371 | + | 4.78449i | 0.171948 | + | 0.154822i | ||||
\(956\) | 18.1664 | − | 10.4884i | 0.587545 | − | 0.339219i | ||||
\(957\) | 0.904920 | − | 15.3050i | 0.0292519 | − | 0.494741i | ||||
\(958\) | 24.4919i | 0.791299i | ||||||||
\(959\) | −37.8668 | + | 5.63871i | −1.22278 | + | 0.182084i | ||||
\(960\) | 2.08124 | + | 0.564934i | 0.0671718 | + | 0.0182332i | ||||
\(961\) | −2.86987 | − | 27.3050i | −0.0925763 | − | 0.880805i | ||||
\(962\) | −1.47386 | + | 0.313279i | −0.0475192 | + | 0.0101005i | ||||
\(963\) | 3.30308 | + | 2.43283i | 0.106440 | + | 0.0783970i | ||||
\(964\) | 22.8598 | − | 2.40267i | 0.736266 | − | 0.0773847i | ||||
\(965\) | −4.89673 | − | 3.55768i | −0.157631 | − | 0.114526i | ||||
\(966\) | −11.6299 | + | 19.5739i | −0.374186 | + | 0.629779i | ||||
\(967\) | −36.8891 | −1.18628 | −0.593138 | − | 0.805101i | \(-0.702111\pi\) | ||||
−0.593138 | + | 0.805101i | \(0.702111\pi\) | |||||||
\(968\) | −6.40422 | − | 8.94349i | −0.205839 | − | 0.287455i | ||||
\(969\) | −60.7623 | + | 74.5378i | −1.95196 | + | 2.39450i | ||||
\(970\) | 5.66806 | − | 6.29501i | 0.181990 | − | 0.202121i | ||||
\(971\) | 44.0091 | − | 19.5941i | 1.41232 | − | 0.628805i | 0.448117 | − | 0.893975i | \(-0.352095\pi\) |
0.964202 | + | 0.265170i | \(0.0854282\pi\) | |||||||
\(972\) | 11.9533 | + | 10.0060i | 0.383401 | + | 0.320942i | ||||
\(973\) | 26.4130 | − | 16.8073i | 0.846762 | − | 0.538816i | ||||
\(974\) | −23.4318 | − | 7.61344i | −0.750802 | − | 0.243950i | ||||
\(975\) | 1.14862 | − | 0.580552i | 0.0367854 | − | 0.0185925i | ||||
\(976\) | 12.0980 | + | 1.27155i | 0.387246 | + | 0.0407012i | ||||
\(977\) | 9.87653 | + | 8.89286i | 0.315978 | + | 0.284508i | 0.811824 | − | 0.583903i | \(-0.198475\pi\) |
−0.495845 | + | 0.868411i | \(0.665142\pi\) | |||||||
\(978\) | −1.72594 | − | 0.279124i | −0.0551895 | − | 0.00892539i | ||||
\(979\) | −3.53820 | − | 34.8162i | −0.113081 | − | 1.11273i | ||||
\(980\) | −1.65395 | − | 8.55723i | −0.0528334 | − | 0.273351i | ||||
\(981\) | 14.4537 | + | 8.47080i | 0.461473 | + | 0.270452i | ||||
\(982\) | 16.8280 | − | 7.49230i | 0.537003 | − | 0.239089i | ||||
\(983\) | 33.9407 | + | 15.1114i | 1.08254 | + | 0.481979i | 0.868927 | − | 0.494940i | \(-0.164810\pi\) |
0.213614 | + | 0.976918i | \(0.431476\pi\) | |||||||
\(984\) | −4.57899 | − | 7.10152i | −0.145973 | − | 0.226388i | ||||
\(985\) | −2.11939 | + | 1.90831i | −0.0675295 | + | 0.0608038i | ||||
\(986\) | −14.3754 | + | 10.4443i | −0.457805 | + | 0.332615i | ||||
\(987\) | 7.30454 | − | 5.16868i | 0.232506 | − | 0.164521i | ||||
\(988\) | 0.555069 | + | 1.70833i | 0.0176591 | + | 0.0543491i | ||||
\(989\) | 45.9938 | + | 26.5545i | 1.46252 | + | 0.844385i | ||||
\(990\) | −1.17227 | − | 12.3329i | −0.0372572 | − | 0.391964i | ||||
\(991\) | −28.5200 | − | 49.3982i | −0.905969 | − | 1.56918i | −0.819611 | − | 0.572920i | \(-0.805810\pi\) |
−0.0863581 | − | 0.996264i | \(-0.527523\pi\) | |||||||
\(992\) | 1.84158 | + | 0.391440i | 0.0584702 | + | 0.0124282i | ||||
\(993\) | −9.46224 | − | 2.56844i | −0.300275 | − | 0.0815069i | ||||
\(994\) | 24.7185 | + | 16.3797i | 0.784023 | + | 0.519531i | ||||
\(995\) | 2.26625 | + | 0.736351i | 0.0718451 | + | 0.0233439i | ||||
\(996\) | 26.0029 | + | 13.3559i | 0.823933 | + | 0.423198i | ||||
\(997\) | −22.2199 | + | 49.9068i | −0.703712 | + | 1.58056i | 0.106423 | + | 0.994321i | \(0.466060\pi\) |
−0.810135 | + | 0.586243i | \(0.800606\pi\) | |||||||
\(998\) | 26.7044 | + | 2.80675i | 0.845314 | + | 0.0888460i | ||||
\(999\) | 23.1505 | − | 28.0245i | 0.732450 | − | 0.886656i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 462.2.bf.a.5.8 | ✓ | 256 | |
3.2 | odd | 2 | inner | 462.2.bf.a.5.22 | yes | 256 | |
7.3 | odd | 6 | inner | 462.2.bf.a.269.13 | yes | 256 | |
11.9 | even | 5 | inner | 462.2.bf.a.383.17 | yes | 256 | |
21.17 | even | 6 | inner | 462.2.bf.a.269.17 | yes | 256 | |
33.20 | odd | 10 | inner | 462.2.bf.a.383.13 | yes | 256 | |
77.31 | odd | 30 | inner | 462.2.bf.a.185.22 | yes | 256 | |
231.185 | even | 30 | inner | 462.2.bf.a.185.8 | yes | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.bf.a.5.8 | ✓ | 256 | 1.1 | even | 1 | trivial | |
462.2.bf.a.5.22 | yes | 256 | 3.2 | odd | 2 | inner | |
462.2.bf.a.185.8 | yes | 256 | 231.185 | even | 30 | inner | |
462.2.bf.a.185.22 | yes | 256 | 77.31 | odd | 30 | inner | |
462.2.bf.a.269.13 | yes | 256 | 7.3 | odd | 6 | inner | |
462.2.bf.a.269.17 | yes | 256 | 21.17 | even | 6 | inner | |
462.2.bf.a.383.13 | yes | 256 | 33.20 | odd | 10 | inner | |
462.2.bf.a.383.17 | yes | 256 | 11.9 | even | 5 | inner |