Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(2,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([10, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.w (of order \(60\), degree \(16\), 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: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(448\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 92.20 | ||
Character | \(\chi\) | \(=\) | 225.92 |
Dual form | 225.2.w.a.203.20 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{13}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.995806 | − | 0.646684i | 0.704141 | − | 0.457274i | −0.142254 | − | 0.989830i | \(-0.545435\pi\) |
0.846395 | + | 0.532556i | \(0.178768\pi\) | |||||||
\(3\) | 1.25867 | + | 1.18985i | 0.726696 | + | 0.686959i | ||||
\(4\) | −0.240044 | + | 0.539148i | −0.120022 | + | 0.269574i | ||||
\(5\) | −1.58674 | + | 1.57552i | −0.709611 | + | 0.704593i | ||||
\(6\) | 2.02285 | + | 0.370893i | 0.825825 | + | 0.151416i | ||||
\(7\) | −0.501865 | + | 0.134474i | −0.189687 | + | 0.0508265i | −0.352412 | − | 0.935845i | \(-0.614638\pi\) |
0.162725 | + | 0.986671i | \(0.447972\pi\) | |||||||
\(8\) | 0.481110 | + | 3.03761i | 0.170098 | + | 1.07396i | ||||
\(9\) | 0.168525 | + | 2.99526i | 0.0561749 | + | 0.998421i | ||||
\(10\) | −0.561222 | + | 2.59503i | −0.177474 | + | 0.820620i | ||||
\(11\) | 0.757433 | − | 3.56344i | 0.228375 | − | 1.07442i | −0.703235 | − | 0.710957i | \(-0.748262\pi\) |
0.931610 | − | 0.363460i | \(-0.118405\pi\) | |||||||
\(12\) | −0.943642 | + | 0.392996i | −0.272406 | + | 0.113448i | ||||
\(13\) | 2.84186 | − | 4.37609i | 0.788191 | − | 1.21371i | −0.184779 | − | 0.982780i | \(-0.559157\pi\) |
0.972971 | − | 0.230928i | \(-0.0741763\pi\) | |||||||
\(14\) | −0.412798 | + | 0.458458i | −0.110325 | + | 0.122528i | ||||
\(15\) | −3.87182 | + | 0.0950874i | −0.999699 | + | 0.0245515i | ||||
\(16\) | 1.65366 | + | 1.83657i | 0.413415 | + | 0.459144i | ||||
\(17\) | 1.02223 | − | 0.161905i | 0.247927 | − | 0.0392678i | −0.0312338 | − | 0.999512i | \(-0.509944\pi\) |
0.279161 | + | 0.960244i | \(0.409944\pi\) | |||||||
\(18\) | 2.10481 | + | 2.87372i | 0.496107 | + | 0.677342i | ||||
\(19\) | 2.24416 | − | 3.08882i | 0.514846 | − | 0.708625i | −0.469881 | − | 0.882730i | \(-0.655703\pi\) |
0.984727 | + | 0.174105i | \(0.0557032\pi\) | |||||||
\(20\) | −0.468551 | − | 1.23368i | −0.104771 | − | 0.275860i | ||||
\(21\) | −0.791689 | − | 0.427883i | −0.172761 | − | 0.0933718i | ||||
\(22\) | −1.55016 | − | 4.03831i | −0.330496 | − | 0.860971i | ||||
\(23\) | −2.02516 | + | 0.106134i | −0.422274 | + | 0.0221305i | −0.262290 | − | 0.964989i | \(-0.584478\pi\) |
−0.159984 | + | 0.987120i | \(0.551144\pi\) | |||||||
\(24\) | −3.00873 | + | 4.39581i | −0.614154 | + | 0.897290i | ||||
\(25\) | 0.0354827 | − | 4.99987i | 0.00709654 | − | 0.999975i | ||||
\(26\) | − | 6.19552i | − | 1.21504i | ||||||
\(27\) | −3.35179 | + | 3.97058i | −0.645052 | + | 0.764139i | ||||
\(28\) | 0.0479682 | − | 0.302860i | 0.00906514 | − | 0.0572351i | ||||
\(29\) | 0.344617 | + | 3.27881i | 0.0639938 | + | 0.608860i | 0.978779 | + | 0.204919i | \(0.0656932\pi\) |
−0.914785 | + | 0.403941i | \(0.867640\pi\) | |||||||
\(30\) | −3.79408 | + | 2.59853i | −0.692702 | + | 0.474424i | ||||
\(31\) | 0.0878042 | − | 0.835401i | 0.0157701 | − | 0.150042i | −0.983803 | − | 0.179252i | \(-0.942632\pi\) |
0.999573 | + | 0.0292094i | \(0.00929898\pi\) | |||||||
\(32\) | −3.10695 | − | 0.832504i | −0.549236 | − | 0.147167i | ||||
\(33\) | 5.19331 | − | 3.58398i | 0.904040 | − | 0.623891i | ||||
\(34\) | 0.913241 | − | 0.822286i | 0.156620 | − | 0.141021i | ||||
\(35\) | 0.584462 | − | 1.00407i | 0.0987921 | − | 0.169719i | ||||
\(36\) | −1.65534 | − | 0.628136i | −0.275891 | − | 0.104689i | ||||
\(37\) | 7.70548 | − | 3.92614i | 1.26677 | − | 0.645454i | 0.314083 | − | 0.949395i | \(-0.398303\pi\) |
0.952691 | + | 0.303942i | \(0.0983029\pi\) | |||||||
\(38\) | 0.237257 | − | 4.52713i | 0.0384881 | − | 0.734398i | ||||
\(39\) | 8.78386 | − | 2.12668i | 1.40654 | − | 0.340542i | ||||
\(40\) | −5.54920 | − | 4.06189i | −0.877406 | − | 0.642242i | ||||
\(41\) | 0.455626 | + | 2.14355i | 0.0711568 | + | 0.334766i | 0.999298 | − | 0.0374617i | \(-0.0119272\pi\) |
−0.928141 | + | 0.372228i | \(0.878594\pi\) | |||||||
\(42\) | −1.06507 | + | 0.0858835i | −0.164344 | + | 0.0132521i | ||||
\(43\) | 1.50348 | + | 5.61105i | 0.229278 | + | 0.855677i | 0.980645 | + | 0.195793i | \(0.0627281\pi\) |
−0.751367 | + | 0.659884i | \(0.770605\pi\) | |||||||
\(44\) | 1.73941 | + | 1.26375i | 0.262225 | + | 0.190518i | ||||
\(45\) | −4.98650 | − | 4.48719i | −0.743343 | − | 0.668910i | ||||
\(46\) | −1.94803 | + | 1.41532i | −0.287221 | + | 0.208678i | ||||
\(47\) | 1.69165 | + | 1.36987i | 0.246753 | + | 0.199816i | 0.744716 | − | 0.667382i | \(-0.232585\pi\) |
−0.497963 | + | 0.867198i | \(0.665918\pi\) | |||||||
\(48\) | −0.103825 | + | 4.27925i | −0.0149858 | + | 0.617657i | ||||
\(49\) | −5.82839 | + | 3.36502i | −0.832628 | + | 0.480718i | ||||
\(50\) | −3.19800 | − | 5.00185i | −0.452266 | − | 0.707368i | ||||
\(51\) | 1.47930 | + | 1.01251i | 0.207143 | + | 0.141780i | ||||
\(52\) | 1.67719 | + | 2.58264i | 0.232584 | + | 0.358148i | ||||
\(53\) | −13.0981 | − | 2.07453i | −1.79916 | − | 0.284959i | −0.834992 | − | 0.550262i | \(-0.814528\pi\) |
−0.964165 | + | 0.265303i | \(0.914528\pi\) | |||||||
\(54\) | −0.770021 | + | 6.12147i | −0.104787 | + | 0.833027i | ||||
\(55\) | 4.41242 | + | 6.84760i | 0.594970 | + | 0.923330i | ||||
\(56\) | −0.649932 | − | 1.45977i | −0.0868508 | − | 0.195070i | ||||
\(57\) | 6.49990 | − | 1.21761i | 0.860933 | − | 0.161277i | ||||
\(58\) | 2.46353 | + | 3.04220i | 0.323477 | + | 0.399460i | ||||
\(59\) | −10.0275 | + | 2.13140i | −1.30546 | + | 0.277485i | −0.807580 | − | 0.589758i | \(-0.799223\pi\) |
−0.497885 | + | 0.867243i | \(0.665890\pi\) | |||||||
\(60\) | 0.878141 | − | 2.11031i | 0.113368 | − | 0.272440i | ||||
\(61\) | −1.04179 | − | 0.221440i | −0.133388 | − | 0.0283525i | 0.140734 | − | 0.990047i | \(-0.455054\pi\) |
−0.274122 | + | 0.961695i | \(0.588387\pi\) | |||||||
\(62\) | −0.452804 | − | 0.888678i | −0.0575062 | − | 0.112862i | ||||
\(63\) | −0.487363 | − | 1.48056i | −0.0614019 | − | 0.186532i | ||||
\(64\) | −8.33308 | + | 2.70758i | −1.04163 | + | 0.338448i | ||||
\(65\) | 2.38531 | + | 11.4211i | 0.295861 | + | 1.41662i | ||||
\(66\) | 2.85383 | − | 6.92738i | 0.351282 | − | 0.852702i | ||||
\(67\) | 9.43246 | − | 7.63826i | 1.15236 | − | 0.933162i | 0.153868 | − | 0.988091i | \(-0.450827\pi\) |
0.998490 | + | 0.0549297i | \(0.0174935\pi\) | |||||||
\(68\) | −0.158090 | + | 0.589998i | −0.0191712 | + | 0.0715478i | ||||
\(69\) | −2.67530 | − | 2.27604i | −0.322068 | − | 0.274003i | ||||
\(70\) | −0.0673072 | − | 1.37782i | −0.00804475 | − | 0.164681i | ||||
\(71\) | −8.89523 | − | 12.2432i | −1.05567 | − | 1.45301i | −0.883788 | − | 0.467888i | \(-0.845015\pi\) |
−0.171882 | − | 0.985118i | \(-0.554985\pi\) | |||||||
\(72\) | −9.01735 | + | 1.95296i | −1.06271 | + | 0.230159i | ||||
\(73\) | 3.03560 | + | 1.54671i | 0.355290 | + | 0.181029i | 0.622521 | − | 0.782603i | \(-0.286109\pi\) |
−0.267231 | + | 0.963633i | \(0.586109\pi\) | |||||||
\(74\) | 5.13419 | − | 8.89268i | 0.596838 | − | 1.03375i | ||||
\(75\) | 5.99375 | − | 6.25100i | 0.692099 | − | 0.721803i | ||||
\(76\) | 1.12664 | + | 1.95139i | 0.129234 | + | 0.223840i | ||||
\(77\) | 0.0990623 | + | 1.89022i | 0.0112892 | + | 0.215411i | ||||
\(78\) | 7.37173 | − | 7.79814i | 0.834684 | − | 0.882966i | ||||
\(79\) | −9.07699 | + | 0.954030i | −1.02124 | + | 0.107337i | −0.600320 | − | 0.799760i | \(-0.704960\pi\) |
−0.420922 | + | 0.907097i | \(0.638293\pi\) | |||||||
\(80\) | −5.51748 | − | 0.308794i | −0.616873 | − | 0.0345242i | ||||
\(81\) | −8.94320 | + | 1.00955i | −0.993689 | + | 0.112172i | ||||
\(82\) | 1.83991 | + | 1.83991i | 0.203185 | + | 0.203185i | ||||
\(83\) | 5.10575 | + | 1.95991i | 0.560428 | + | 0.215128i | 0.622059 | − | 0.782971i | \(-0.286297\pi\) |
−0.0616301 | + | 0.998099i | \(0.519630\pi\) | |||||||
\(84\) | 0.420733 | − | 0.324127i | 0.0459057 | − | 0.0353651i | ||||
\(85\) | −1.36693 | + | 1.86744i | −0.148264 | + | 0.202553i | ||||
\(86\) | 5.12575 | + | 4.61524i | 0.552723 | + | 0.497674i | ||||
\(87\) | −3.46753 | + | 4.53700i | −0.371758 | + | 0.486417i | ||||
\(88\) | 11.1887 | + | 0.586377i | 1.19272 | + | 0.0625080i | ||||
\(89\) | 3.51917 | + | 10.8309i | 0.373031 | + | 1.14807i | 0.944797 | + | 0.327655i | \(0.106258\pi\) |
−0.571766 | + | 0.820416i | \(0.693742\pi\) | |||||||
\(90\) | −7.86737 | − | 1.24368i | −0.829294 | − | 0.131095i | ||||
\(91\) | −0.837761 | + | 2.57836i | −0.0878212 | + | 0.270286i | ||||
\(92\) | 0.428905 | − | 1.11734i | 0.0447165 | − | 0.116490i | ||||
\(93\) | 1.10452 | − | 0.947024i | 0.114533 | − | 0.0982018i | ||||
\(94\) | 2.57043 | + | 0.270163i | 0.265120 | + | 0.0278652i | ||||
\(95\) | 1.30560 | + | 8.43688i | 0.133952 | + | 0.865605i | ||||
\(96\) | −2.92008 | − | 4.74465i | −0.298030 | − | 0.484249i | ||||
\(97\) | 3.87608 | − | 4.78656i | 0.393557 | − | 0.486002i | −0.541399 | − | 0.840765i | \(-0.682105\pi\) |
0.934956 | + | 0.354764i | \(0.115439\pi\) | |||||||
\(98\) | −3.62784 | + | 7.12004i | −0.366467 | + | 0.719232i | ||||
\(99\) | 10.8011 | + | 1.66818i | 1.08555 | + | 0.167659i | ||||
\(100\) | 2.68716 | + | 1.21932i | 0.268716 | + | 0.121932i | ||||
\(101\) | −11.3473 | − | 6.55139i | −1.12910 | − | 0.651887i | −0.185393 | − | 0.982664i | \(-0.559356\pi\) |
−0.943709 | + | 0.330777i | \(0.892689\pi\) | |||||||
\(102\) | 2.12787 | + | 0.0516272i | 0.210690 | + | 0.00511186i | ||||
\(103\) | −0.0319034 | + | 0.0122466i | −0.00314354 | + | 0.00120669i | −0.359939 | − | 0.932976i | \(-0.617203\pi\) |
0.356796 | + | 0.934182i | \(0.383869\pi\) | |||||||
\(104\) | 14.6601 | + | 6.52709i | 1.43754 | + | 0.640034i | ||||
\(105\) | 1.93034 | − | 0.568381i | 0.188382 | − | 0.0554683i | ||||
\(106\) | −14.3847 | + | 6.40448i | −1.39716 | + | 0.622058i | ||||
\(107\) | 9.46100 | − | 9.46100i | 0.914629 | − | 0.914629i | −0.0820027 | − | 0.996632i | \(-0.526132\pi\) |
0.996632 | + | 0.0820027i | \(0.0261316\pi\) | |||||||
\(108\) | −1.33615 | − | 2.76023i | −0.128571 | − | 0.265603i | ||||
\(109\) | −13.5837 | − | 4.41363i | −1.30109 | − | 0.422749i | −0.425128 | − | 0.905133i | \(-0.639771\pi\) |
−0.875960 | + | 0.482385i | \(0.839771\pi\) | |||||||
\(110\) | 8.82214 | + | 3.96544i | 0.841158 | + | 0.378090i | ||||
\(111\) | 14.3702 | + | 4.22662i | 1.36396 | + | 0.401173i | ||||
\(112\) | −1.07689 | − | 0.699338i | −0.101756 | − | 0.0660812i | ||||
\(113\) | 4.69796 | + | 3.05089i | 0.441947 | + | 0.287004i | 0.746367 | − | 0.665534i | \(-0.231796\pi\) |
−0.304421 | + | 0.952538i | \(0.598463\pi\) | |||||||
\(114\) | 5.68523 | − | 5.41589i | 0.532470 | − | 0.507244i | ||||
\(115\) | 3.04618 | − | 3.35908i | 0.284058 | − | 0.313236i | ||||
\(116\) | −1.85049 | − | 0.601260i | −0.171814 | − | 0.0558256i | ||||
\(117\) | 13.5865 | + | 7.77465i | 1.25607 | + | 0.718767i | ||||
\(118\) | −8.60706 | + | 8.60706i | −0.792344 | + | 0.792344i | ||||
\(119\) | −0.491249 | + | 0.218718i | −0.0450328 | + | 0.0200499i | ||||
\(120\) | −2.15161 | − | 11.7153i | −0.196414 | − | 1.06946i | ||||
\(121\) | −2.07540 | − | 0.924030i | −0.188673 | − | 0.0840027i | ||||
\(122\) | −1.18062 | + | 0.453199i | −0.106889 | + | 0.0410307i | ||||
\(123\) | −1.97701 | + | 3.24016i | −0.178261 | + | 0.292155i | ||||
\(124\) | 0.429328 | + | 0.247873i | 0.0385548 | + | 0.0222596i | ||||
\(125\) | 7.82109 | + | 7.98940i | 0.699540 | + | 0.714594i | ||||
\(126\) | −1.44277 | − | 1.15918i | −0.128532 | − | 0.103268i | ||||
\(127\) | 6.75540 | − | 13.2582i | 0.599445 | − | 1.17648i | −0.369507 | − | 0.929228i | \(-0.620473\pi\) |
0.968952 | − | 0.247249i | \(-0.0795267\pi\) | |||||||
\(128\) | −2.49870 | + | 3.08563i | −0.220856 | + | 0.272734i | ||||
\(129\) | −4.78391 | + | 8.85140i | −0.421200 | + | 0.779322i | ||||
\(130\) | 9.76116 | + | 9.83067i | 0.856110 | + | 0.862207i | ||||
\(131\) | 8.38280 | + | 0.881068i | 0.732409 | + | 0.0769793i | 0.463389 | − | 0.886155i | \(-0.346633\pi\) |
0.269020 | + | 0.963134i | \(0.413300\pi\) | |||||||
\(132\) | 0.685673 | + | 3.66028i | 0.0596802 | + | 0.318587i | ||||
\(133\) | −0.710899 | + | 1.85195i | −0.0616427 | + | 0.160585i | ||||
\(134\) | 4.45336 | − | 13.7060i | 0.384712 | − | 1.18402i | ||||
\(135\) | −0.937308 | − | 11.5811i | −0.0806706 | − | 0.996741i | ||||
\(136\) | 0.983610 | + | 3.02724i | 0.0843438 | + | 0.259584i | ||||
\(137\) | 16.6282 | + | 0.871447i | 1.42064 | + | 0.0744527i | 0.747108 | − | 0.664703i | \(-0.231442\pi\) |
0.673535 | + | 0.739156i | \(0.264775\pi\) | |||||||
\(138\) | −4.13595 | − | 0.536422i | −0.352076 | − | 0.0456633i | ||||
\(139\) | 4.34871 | + | 3.91559i | 0.368852 | + | 0.332116i | 0.832624 | − | 0.553839i | \(-0.186838\pi\) |
−0.463772 | + | 0.885955i | \(0.653504\pi\) | |||||||
\(140\) | 0.401048 | + | 0.556134i | 0.0338947 | + | 0.0470019i | ||||
\(141\) | 0.499300 | + | 3.73703i | 0.0420486 | + | 0.314715i | ||||
\(142\) | −16.7754 | − | 6.43948i | −1.40776 | − | 0.540389i | ||||
\(143\) | −13.4414 | − | 13.4414i | −1.12403 | − | 1.12403i | ||||
\(144\) | −5.22234 | + | 5.26265i | −0.435195 | + | 0.438554i | ||||
\(145\) | −5.71265 | − | 4.65967i | −0.474409 | − | 0.386964i | ||||
\(146\) | 4.02310 | − | 0.422845i | 0.332954 | − | 0.0349949i | ||||
\(147\) | −11.3399 | − | 2.69943i | −0.935301 | − | 0.222645i | ||||
\(148\) | 0.267114 | + | 5.09685i | 0.0219567 | + | 0.418958i | ||||
\(149\) | −0.125413 | − | 0.217222i | −0.0102743 | − | 0.0177955i | 0.860843 | − | 0.508871i | \(-0.169937\pi\) |
−0.871117 | + | 0.491076i | \(0.836604\pi\) | |||||||
\(150\) | 1.92619 | − | 10.1008i | 0.157273 | − | 0.824730i | ||||
\(151\) | −8.69231 | + | 15.0555i | −0.707370 | + | 1.22520i | 0.258459 | + | 0.966022i | \(0.416785\pi\) |
−0.965829 | + | 0.259179i | \(0.916548\pi\) | |||||||
\(152\) | 10.4623 | + | 5.33082i | 0.848606 | + | 0.432387i | ||||
\(153\) | 0.657220 | + | 3.03456i | 0.0531331 | + | 0.245330i | ||||
\(154\) | 1.32102 | + | 1.81823i | 0.106451 | + | 0.146517i | ||||
\(155\) | 1.17687 | + | 1.46390i | 0.0945282 | + | 0.117583i | ||||
\(156\) | −0.961917 | + | 5.24630i | −0.0770150 | + | 0.420040i | ||||
\(157\) | −5.84110 | + | 21.7993i | −0.466171 | + | 1.73977i | 0.186808 | + | 0.982396i | \(0.440186\pi\) |
−0.652979 | + | 0.757376i | \(0.726481\pi\) | |||||||
\(158\) | −8.42196 | + | 6.81997i | −0.670015 | + | 0.542568i | ||||
\(159\) | −14.0178 | − | 18.1959i | −1.11169 | − | 1.44303i | ||||
\(160\) | 6.24154 | − | 3.57409i | 0.493437 | − | 0.282556i | ||||
\(161\) | 1.00208 | − | 0.325596i | 0.0789752 | − | 0.0256606i | ||||
\(162\) | −8.25283 | + | 6.78874i | −0.648403 | + | 0.533374i | ||||
\(163\) | −8.28630 | − | 16.2628i | −0.649033 | − | 1.27380i | −0.947615 | − | 0.319416i | \(-0.896513\pi\) |
0.298581 | − | 0.954384i | \(-0.403487\pi\) | |||||||
\(164\) | −1.26506 | − | 0.268897i | −0.0987848 | − | 0.0209974i | ||||
\(165\) | −2.59380 | + | 13.8690i | −0.201927 | + | 1.07970i | ||||
\(166\) | 6.35177 | − | 1.35011i | 0.492993 | − | 0.104789i | ||||
\(167\) | −4.08308 | − | 5.04219i | −0.315959 | − | 0.390176i | 0.594282 | − | 0.804257i | \(-0.297436\pi\) |
−0.910240 | + | 0.414081i | \(0.864103\pi\) | |||||||
\(168\) | 0.918853 | − | 2.61070i | 0.0708910 | − | 0.201420i | ||||
\(169\) | −5.78637 | − | 12.9964i | −0.445105 | − | 0.999723i | ||||
\(170\) | −0.153549 | + | 2.74358i | −0.0117766 | + | 0.210423i | ||||
\(171\) | 9.63004 | + | 6.20131i | 0.736427 | + | 0.474226i | ||||
\(172\) | −3.38609 | − | 0.536304i | −0.258187 | − | 0.0408928i | ||||
\(173\) | 11.1040 | + | 17.0987i | 0.844223 | + | 1.29999i | 0.952088 | + | 0.305824i | \(0.0989321\pi\) |
−0.107865 | + | 0.994166i | \(0.534401\pi\) | |||||||
\(174\) | −0.518978 | + | 6.76036i | −0.0393436 | + | 0.512502i | ||||
\(175\) | 0.654547 | + | 2.51403i | 0.0494791 | + | 0.190043i | ||||
\(176\) | 7.79706 | − | 4.50163i | 0.587725 | − | 0.339323i | ||||
\(177\) | −15.1574 | − | 9.24841i | −1.13930 | − | 0.695153i | ||||
\(178\) | 10.5086 | + | 8.50967i | 0.787650 | + | 0.637826i | ||||
\(179\) | 12.3568 | − | 8.97776i | 0.923593 | − | 0.671029i | −0.0208231 | − | 0.999783i | \(-0.506629\pi\) |
0.944416 | + | 0.328754i | \(0.106629\pi\) | |||||||
\(180\) | 3.61624 | − | 1.61134i | 0.269539 | − | 0.120102i | ||||
\(181\) | 2.74110 | + | 1.99153i | 0.203744 | + | 0.148029i | 0.684979 | − | 0.728563i | \(-0.259811\pi\) |
−0.481234 | + | 0.876592i | \(0.659811\pi\) | |||||||
\(182\) | 0.833138 | + | 3.10931i | 0.0617563 | + | 0.230478i | ||||
\(183\) | −1.04780 | − | 1.51829i | −0.0774554 | − | 0.112236i | ||||
\(184\) | −1.29672 | − | 6.10057i | −0.0955951 | − | 0.449740i | ||||
\(185\) | −6.04089 | + | 18.3699i | −0.444135 | + | 1.35058i | ||||
\(186\) | 0.487459 | − | 1.65732i | 0.0357422 | − | 0.121521i | ||||
\(187\) | 0.197330 | − | 3.76529i | 0.0144302 | − | 0.275345i | ||||
\(188\) | −1.14464 | + | 0.583221i | −0.0834811 | + | 0.0425358i | ||||
\(189\) | 1.14820 | − | 2.44342i | 0.0835196 | − | 0.177733i | ||||
\(190\) | 6.75611 | + | 7.55718i | 0.490140 | + | 0.548255i | ||||
\(191\) | −2.00337 | + | 1.80384i | −0.144959 | + | 0.130521i | −0.738420 | − | 0.674341i | \(-0.764428\pi\) |
0.593461 | + | 0.804863i | \(0.297761\pi\) | |||||||
\(192\) | −13.7102 | − | 6.50713i | −0.989452 | − | 0.469612i | ||||
\(193\) | −20.7419 | − | 5.55779i | −1.49304 | − | 0.400058i | −0.582276 | − | 0.812991i | \(-0.697838\pi\) |
−0.910762 | + | 0.412933i | \(0.864504\pi\) | |||||||
\(194\) | 0.764432 | − | 7.27309i | 0.0548830 | − | 0.522177i | ||||
\(195\) | −10.5871 | + | 17.2136i | −0.758155 | + | 1.23269i | ||||
\(196\) | −0.415175 | − | 3.95012i | −0.0296553 | − | 0.282152i | ||||
\(197\) | −3.51346 | + | 22.1831i | −0.250324 | + | 1.58048i | 0.467330 | + | 0.884083i | \(0.345216\pi\) |
−0.717654 | + | 0.696400i | \(0.754784\pi\) | |||||||
\(198\) | 11.8346 | − | 5.32370i | 0.841046 | − | 0.378339i | ||||
\(199\) | − | 20.7252i | − | 1.46917i | −0.678517 | − | 0.734584i | \(-0.737377\pi\) | ||
0.678517 | − | 0.734584i | \(-0.262623\pi\) | |||||||
\(200\) | 15.2047 | − | 2.29771i | 1.07514 | − | 0.162472i | ||||
\(201\) | 20.9608 | + | 1.60911i | 1.47846 | + | 0.113498i | ||||
\(202\) | −15.5364 | + | 0.814229i | −1.09314 | + | 0.0572889i | ||||
\(203\) | −0.613867 | − | 1.59918i | −0.0430850 | − | 0.112240i | ||||
\(204\) | −0.900992 | + | 0.554513i | −0.0630820 | + | 0.0388237i | ||||
\(205\) | −4.10016 | − | 2.68341i | −0.286368 | − | 0.187417i | ||||
\(206\) | −0.0238499 | + | 0.0328266i | −0.00166170 | + | 0.00228714i | ||||
\(207\) | −0.659188 | − | 6.04799i | −0.0458167 | − | 0.420364i | ||||
\(208\) | 12.7365 | − | 2.01726i | 0.883116 | − | 0.139872i | ||||
\(209\) | −9.30704 | − | 10.3365i | −0.643781 | − | 0.714992i | ||||
\(210\) | 1.55468 | − | 1.81432i | 0.107283 | − | 0.125200i | ||||
\(211\) | −0.644644 | + | 0.715950i | −0.0443791 | + | 0.0492880i | −0.764926 | − | 0.644119i | \(-0.777224\pi\) |
0.720547 | + | 0.693407i | \(0.243891\pi\) | |||||||
\(212\) | 4.26259 | − | 6.56382i | 0.292756 | − | 0.450805i | ||||
\(213\) | 3.37138 | − | 25.9942i | 0.231003 | − | 1.78110i | ||||
\(214\) | 3.30304 | − | 15.5396i | 0.225791 | − | 1.06226i | ||||
\(215\) | −11.2259 | − | 6.53452i | −0.765603 | − | 0.445651i | ||||
\(216\) | −13.6736 | − | 8.27113i | −0.930373 | − | 0.562779i | ||||
\(217\) | 0.0682741 | + | 0.431066i | 0.00463475 | + | 0.0292627i | ||||
\(218\) | −16.3810 | + | 4.38927i | −1.10946 | + | 0.297279i | ||||
\(219\) | 1.98048 | + | 5.55871i | 0.133828 | + | 0.375623i | ||||
\(220\) | −4.75105 | + | 0.735221i | −0.320316 | + | 0.0495686i | ||||
\(221\) | 2.19653 | − | 4.93348i | 0.147754 | − | 0.331862i | ||||
\(222\) | 17.0432 | − | 5.08409i | 1.14387 | − | 0.341222i | ||||
\(223\) | −1.57747 | + | 1.02442i | −0.105635 | + | 0.0686003i | −0.596375 | − | 0.802706i | \(-0.703393\pi\) |
0.490740 | + | 0.871306i | \(0.336726\pi\) | |||||||
\(224\) | 1.67122 | 0.111663 | ||||||||
\(225\) | 14.9819 | − | 0.736322i | 0.998794 | − | 0.0490881i | ||||
\(226\) | 6.65121 | 0.442432 | ||||||||
\(227\) | −18.6940 | + | 12.1400i | −1.24076 | + | 0.805761i | −0.986877 | − | 0.161473i | \(-0.948375\pi\) |
−0.253886 | + | 0.967234i | \(0.581709\pi\) | |||||||
\(228\) | −0.903790 | + | 3.79669i | −0.0598549 | + | 0.251442i | ||||
\(229\) | −12.0375 | + | 27.0367i | −0.795461 | + | 1.78664i | −0.206553 | + | 0.978435i | \(0.566225\pi\) |
−0.588908 | + | 0.808200i | \(0.700442\pi\) | |||||||
\(230\) | 0.861141 | − | 5.31490i | 0.0567820 | − | 0.350454i | ||||
\(231\) | −2.12439 | + | 2.49704i | −0.139774 | + | 0.164293i | ||||
\(232\) | −9.79394 | + | 2.62428i | −0.643004 | + | 0.172292i | ||||
\(233\) | −3.52396 | − | 22.2494i | −0.230862 | − | 1.45761i | −0.782044 | − | 0.623223i | \(-0.785823\pi\) |
0.551182 | − | 0.834385i | \(-0.314177\pi\) | |||||||
\(234\) | 18.5572 | − | 1.04410i | 1.21312 | − | 0.0682548i | ||||
\(235\) | −4.84247 | + | 0.491598i | −0.315888 | + | 0.0320683i | ||||
\(236\) | 1.25789 | − | 5.91792i | 0.0818819 | − | 0.385224i | ||||
\(237\) | −12.5601 | − | 9.59942i | −0.815868 | − | 0.623550i | ||||
\(238\) | −0.347747 | + | 0.535484i | −0.0225411 | + | 0.0347103i | ||||
\(239\) | 7.85000 | − | 8.71831i | 0.507774 | − | 0.563940i | −0.433686 | − | 0.901064i | \(-0.642787\pi\) |
0.941460 | + | 0.337124i | \(0.109454\pi\) | |||||||
\(240\) | −6.57730 | − | 6.95364i | −0.424563 | − | 0.448855i | ||||
\(241\) | 12.0744 | + | 13.4100i | 0.777784 | + | 0.863816i | 0.993639 | − | 0.112609i | \(-0.0359208\pi\) |
−0.215856 | + | 0.976425i | \(0.569254\pi\) | |||||||
\(242\) | −2.66425 | + | 0.421976i | −0.171265 | + | 0.0271257i | ||||
\(243\) | −12.4578 | − | 9.37035i | −0.799168 | − | 0.601108i | ||||
\(244\) | 0.369465 | − | 0.508525i | 0.0236526 | − | 0.0325550i | ||||
\(245\) | 3.94648 | − | 14.5222i | 0.252131 | − | 0.927787i | ||||
\(246\) | 0.126636 | + | 4.50507i | 0.00807401 | + | 0.287233i | ||||
\(247\) | −7.13936 | − | 18.5987i | −0.454267 | − | 1.18340i | ||||
\(248\) | 2.57986 | − | 0.135205i | 0.163821 | − | 0.00858552i | ||||
\(249\) | 4.09448 | + | 8.54195i | 0.259477 | + | 0.541324i | ||||
\(250\) | 12.9549 | + | 2.89812i | 0.819340 | + | 0.183293i | ||||
\(251\) | 14.4353i | 0.911146i | 0.890199 | + | 0.455573i | \(0.150566\pi\) | ||||
−0.890199 | + | 0.455573i | \(0.849434\pi\) | |||||||
\(252\) | 0.915228 | + | 0.0926382i | 0.0576539 | + | 0.00583566i | ||||
\(253\) | −1.15572 | + | 7.29691i | −0.0726593 | + | 0.458753i | ||||
\(254\) | −1.84681 | − | 17.5712i | −0.115879 | − | 1.10252i | ||||
\(255\) | −3.94249 | + | 0.724069i | −0.246888 | + | 0.0453430i | ||||
\(256\) | 1.33895 | − | 12.7393i | 0.0836845 | − | 0.796205i | ||||
\(257\) | −8.02116 | − | 2.14926i | −0.500346 | − | 0.134067i | −0.000185445 | − | 1.00000i | \(-0.500059\pi\) |
−0.500161 | + | 0.865933i | \(0.666726\pi\) | |||||||
\(258\) | 0.960211 | + | 11.9079i | 0.0597802 | + | 0.741356i | ||||
\(259\) | −3.33915 | + | 3.00658i | −0.207485 | + | 0.186820i | ||||
\(260\) | −6.73026 | − | 1.45554i | −0.417393 | − | 0.0902687i | ||||
\(261\) | −9.76282 | + | 1.58478i | −0.604304 | + | 0.0980953i | ||||
\(262\) | 8.91741 | − | 4.54365i | 0.550920 | − | 0.280708i | ||||
\(263\) | 0.496793 | − | 9.47937i | 0.0306336 | − | 0.584523i | −0.939588 | − | 0.342306i | \(-0.888792\pi\) |
0.970222 | − | 0.242217i | \(-0.0778746\pi\) | |||||||
\(264\) | 13.3853 | + | 14.0510i | 0.823807 | + | 0.864777i | ||||
\(265\) | 24.0517 | − | 17.3445i | 1.47748 | − | 1.06546i | ||||
\(266\) | 0.489712 | + | 2.30391i | 0.0300262 | + | 0.141262i | ||||
\(267\) | −8.45762 | + | 17.8198i | −0.517598 | + | 1.09056i | ||||
\(268\) | 1.85395 | + | 6.91902i | 0.113248 | + | 0.422646i | ||||
\(269\) | −5.30936 | − | 3.85748i | −0.323717 | − | 0.235195i | 0.414043 | − | 0.910257i | \(-0.364116\pi\) |
−0.737760 | + | 0.675063i | \(0.764116\pi\) | |||||||
\(270\) | −8.42267 | − | 10.9264i | −0.512588 | − | 0.664957i | ||||
\(271\) | −17.5001 | + | 12.7146i | −1.06305 | + | 0.772354i | −0.974651 | − | 0.223731i | \(-0.928176\pi\) |
−0.0884031 | + | 0.996085i | \(0.528176\pi\) | |||||||
\(272\) | 1.98777 | + | 1.60967i | 0.120526 | + | 0.0976003i | ||||
\(273\) | −4.12233 | + | 2.24851i | −0.249495 | + | 0.136086i | ||||
\(274\) | 17.1220 | − | 9.88539i | 1.03438 | − | 0.597198i | ||||
\(275\) | −17.7899 | − | 3.91351i | −1.07277 | − | 0.235993i | ||||
\(276\) | 1.86931 | − | 0.896032i | 0.112519 | − | 0.0539348i | ||||
\(277\) | 8.34837 | + | 12.8554i | 0.501605 | + | 0.772404i | 0.995260 | − | 0.0972541i | \(-0.0310060\pi\) |
−0.493655 | + | 0.869658i | \(0.664339\pi\) | |||||||
\(278\) | 6.86262 | + | 1.08693i | 0.411592 | + | 0.0651898i | ||||
\(279\) | 2.51704 | + | 0.122211i | 0.150691 | + | 0.00731658i | ||||
\(280\) | 3.33117 | + | 1.29230i | 0.199076 | + | 0.0772295i | ||||
\(281\) | 5.10158 | + | 11.4583i | 0.304335 | + | 0.683546i | 0.999372 | − | 0.0354267i | \(-0.0112790\pi\) |
−0.695038 | + | 0.718973i | \(0.744612\pi\) | |||||||
\(282\) | 2.91388 | + | 3.39847i | 0.173519 | + | 0.202376i | ||||
\(283\) | 5.31409 | + | 6.56236i | 0.315890 | + | 0.390092i | 0.910217 | − | 0.414132i | \(-0.135915\pi\) |
−0.594327 | + | 0.804224i | \(0.702581\pi\) | |||||||
\(284\) | 8.73617 | − | 1.85693i | 0.518397 | − | 0.110189i | ||||
\(285\) | −8.39527 | + | 12.1727i | −0.497293 | + | 0.721051i | ||||
\(286\) | −22.0774 | − | 4.69269i | −1.30546 | − | 0.277485i | ||||
\(287\) | −0.516915 | − | 1.01450i | −0.0305125 | − | 0.0598842i | ||||
\(288\) | 1.96997 | − | 9.44642i | 0.116082 | − | 0.556636i | ||||
\(289\) | −15.1492 | + | 4.92228i | −0.891131 | + | 0.289546i | ||||
\(290\) | −8.70202 | − | 0.945849i | −0.511000 | − | 0.0555422i | ||||
\(291\) | 10.5740 | − | 1.41278i | 0.619859 | − | 0.0828185i | ||||
\(292\) | −1.56259 | + | 1.26536i | −0.0914435 | + | 0.0740495i | ||||
\(293\) | −2.79290 | + | 10.4232i | −0.163163 | + | 0.608932i | 0.835105 | + | 0.550091i | \(0.185407\pi\) |
−0.998267 | + | 0.0588406i | \(0.981260\pi\) | |||||||
\(294\) | −13.0380 | + | 4.64523i | −0.760393 | + | 0.270916i | ||||
\(295\) | 12.5529 | − | 19.1804i | 0.730858 | − | 1.11673i | ||||
\(296\) | 15.6333 | + | 21.5173i | 0.908664 | + | 1.25067i | ||||
\(297\) | 11.6102 | + | 14.9513i | 0.673691 | + | 0.867565i | ||||
\(298\) | −0.265361 | − | 0.135208i | −0.0153720 | − | 0.00783241i | ||||
\(299\) | −5.29077 | + | 9.16388i | −0.305973 | + | 0.529961i | ||||
\(300\) | 1.93145 | + | 4.73204i | 0.111512 | + | 0.273204i | ||||
\(301\) | −1.50908 | − | 2.61381i | −0.0869822 | − | 0.150658i | ||||
\(302\) | 1.08031 | + | 20.6136i | 0.0621649 | + | 1.18618i | ||||
\(303\) | −6.48745 | − | 21.7477i | −0.372694 | − | 1.24937i | ||||
\(304\) | 9.38393 | − | 0.986291i | 0.538206 | − | 0.0565677i | ||||
\(305\) | 2.00193 | − | 1.29000i | 0.114630 | − | 0.0738649i | ||||
\(306\) | 2.61687 | + | 2.59682i | 0.149596 | + | 0.148450i | ||||
\(307\) | 10.9473 | + | 10.9473i | 0.624795 | + | 0.624795i | 0.946754 | − | 0.321959i | \(-0.104341\pi\) |
−0.321959 | + | 0.946754i | \(0.604341\pi\) | |||||||
\(308\) | −1.04289 | − | 0.400328i | −0.0594241 | − | 0.0228108i | ||||
\(309\) | −0.0547276 | − | 0.0225458i | −0.00311334 | − | 0.00128258i | ||||
\(310\) | 2.11861 | + | 0.696699i | 0.120329 | + | 0.0395699i | ||||
\(311\) | −15.8956 | − | 14.3125i | −0.901356 | − | 0.811585i | 0.0813633 | − | 0.996685i | \(-0.474073\pi\) |
−0.982720 | + | 0.185099i | \(0.940739\pi\) | |||||||
\(312\) | 10.6860 | + | 25.6587i | 0.604978 | + | 1.45264i | ||||
\(313\) | 14.3033 | + | 0.749604i | 0.808470 | + | 0.0423701i | 0.452092 | − | 0.891971i | \(-0.350678\pi\) |
0.356379 | + | 0.934342i | \(0.384011\pi\) | |||||||
\(314\) | 8.28064 | + | 25.4852i | 0.467304 | + | 1.43821i | ||||
\(315\) | 3.10596 | + | 1.58141i | 0.175001 | + | 0.0891022i | ||||
\(316\) | 1.66452 | − | 5.12285i | 0.0936364 | − | 0.288183i | ||||
\(317\) | −1.24348 | + | 3.23937i | −0.0698407 | + | 0.181941i | −0.964058 | − | 0.265692i | \(-0.914400\pi\) |
0.894217 | + | 0.447633i | \(0.147733\pi\) | |||||||
\(318\) | −25.7260 | − | 9.05444i | −1.44264 | − | 0.507748i | ||||
\(319\) | 11.9449 | + | 1.25546i | 0.668784 | + | 0.0702921i | ||||
\(320\) | 8.95658 | − | 17.4251i | 0.500688 | − | 0.974095i | ||||
\(321\) | 23.1655 | − | 0.651173i | 1.29297 | − | 0.0363449i | ||||
\(322\) | 0.787322 | − | 0.972261i | 0.0438757 | − | 0.0541820i | ||||
\(323\) | 1.79395 | − | 3.52083i | 0.0998182 | − | 0.195904i | ||||
\(324\) | 1.60247 | − | 5.06405i | 0.0890259 | − | 0.281336i | ||||
\(325\) | −21.7790 | − | 14.3642i | −1.20808 | − | 0.796785i | ||||
\(326\) | −18.7684 | − | 10.8360i | −1.03949 | − | 0.600148i | ||||
\(327\) | −11.8460 | − | 21.7179i | −0.655084 | − | 1.20100i | ||||
\(328\) | −6.29206 | + | 2.41530i | −0.347421 | + | 0.133362i | ||||
\(329\) | −1.03319 | − | 0.460007i | −0.0569618 | − | 0.0253610i | ||||
\(330\) | 6.38594 | + | 15.4882i | 0.351534 | + | 0.852598i | ||||
\(331\) | 13.9901 | − | 6.22880i | 0.768966 | − | 0.342366i | 0.0155237 | − | 0.999879i | \(-0.495058\pi\) |
0.753443 | + | 0.657514i | \(0.228392\pi\) | |||||||
\(332\) | −2.28229 | + | 2.28229i | −0.125257 | + | 0.125257i | ||||
\(333\) | 13.0584 | + | 22.4183i | 0.715595 | + | 1.22852i | ||||
\(334\) | −7.32666 | − | 2.38058i | −0.400897 | − | 0.130259i | ||||
\(335\) | −2.93264 | + | 26.9809i | −0.160227 | + | 1.47413i | ||||
\(336\) | −0.523343 | − | 2.16157i | −0.0285507 | − | 0.117923i | ||||
\(337\) | −18.9241 | − | 12.2895i | −1.03086 | − | 0.669450i | −0.0857905 | − | 0.996313i | \(-0.527342\pi\) |
−0.945072 | + | 0.326864i | \(0.894008\pi\) | |||||||
\(338\) | −14.1667 | − | 9.19994i | −0.770565 | − | 0.500411i | ||||
\(339\) | 2.28311 | + | 9.42993i | 0.124001 | + | 0.512164i | ||||
\(340\) | −0.678706 | − | 1.18525i | −0.0368080 | − | 0.0642790i | ||||
\(341\) | −2.91040 | − | 0.945645i | −0.157607 | − | 0.0512095i | ||||
\(342\) | 13.5999 | − | 0.0522862i | 0.735400 | − | 0.00282731i | ||||
\(343\) | 5.04429 | − | 5.04429i | 0.272366 | − | 0.272366i | ||||
\(344\) | −16.3208 | + | 7.26650i | −0.879960 | + | 0.391784i | ||||
\(345\) | 7.83094 | − | 0.603498i | 0.421604 | − | 0.0324912i | ||||
\(346\) | 22.1149 | + | 9.84619i | 1.18890 | + | 0.529334i | ||||
\(347\) | 5.72228 | − | 2.19658i | 0.307188 | − | 0.117919i | −0.199890 | − | 0.979818i | \(-0.564059\pi\) |
0.507079 | + | 0.861900i | \(0.330725\pi\) | |||||||
\(348\) | −1.61376 | − | 2.95859i | −0.0865064 | − | 0.158597i | ||||
\(349\) | 21.5642 | + | 12.4501i | 1.15430 | + | 0.666437i | 0.949932 | − | 0.312456i | \(-0.101152\pi\) |
0.204371 | + | 0.978893i | \(0.434485\pi\) | |||||||
\(350\) | 2.27759 | + | 2.08020i | 0.121742 | + | 0.111192i | ||||
\(351\) | 7.85028 | + | 25.9516i | 0.419017 | + | 1.38519i | ||||
\(352\) | −5.31988 | + | 10.4409i | −0.283551 | + | 0.556500i | ||||
\(353\) | 7.53592 | − | 9.30608i | 0.401096 | − | 0.495313i | −0.536081 | − | 0.844167i | \(-0.680096\pi\) |
0.937177 | + | 0.348854i | \(0.113429\pi\) | |||||||
\(354\) | −21.0746 | + | 0.592399i | −1.12010 | + | 0.0314856i | ||||
\(355\) | 33.4039 | + | 5.41222i | 1.77289 | + | 0.287251i | ||||
\(356\) | −6.68421 | − | 0.702539i | −0.354262 | − | 0.0372345i | ||||
\(357\) | −0.878565 | − | 0.309217i | −0.0464986 | − | 0.0163655i | ||||
\(358\) | 6.49923 | − | 16.9311i | 0.343495 | − | 0.894834i | ||||
\(359\) | −0.491484 | + | 1.51263i | −0.0259395 | + | 0.0798336i | −0.963188 | − | 0.268828i | \(-0.913364\pi\) |
0.937249 | + | 0.348662i | \(0.113364\pi\) | |||||||
\(360\) | 11.2313 | − | 17.3058i | 0.591939 | − | 0.912098i | ||||
\(361\) | 1.36675 | + | 4.20643i | 0.0719343 | + | 0.221391i | ||||
\(362\) | 4.01749 | + | 0.210548i | 0.211155 | + | 0.0110661i | ||||
\(363\) | −1.51280 | − | 3.63247i | −0.0794017 | − | 0.190655i | ||||
\(364\) | −1.18902 | − | 1.07060i | −0.0623216 | − | 0.0561146i | ||||
\(365\) | −7.25358 | + | 2.32841i | −0.379670 | + | 0.121874i | ||||
\(366\) | −2.02526 | − | 0.834332i | −0.105862 | − | 0.0436113i | ||||
\(367\) | 11.4258 | + | 4.38596i | 0.596423 | + | 0.228945i | 0.637805 | − | 0.770198i | \(-0.279843\pi\) |
−0.0413820 | + | 0.999143i | \(0.513176\pi\) | |||||||
\(368\) | −3.54384 | − | 3.54384i | −0.184736 | − | 0.184736i | ||||
\(369\) | −6.34371 | + | 1.72596i | −0.330241 | + | 0.0898499i | ||||
\(370\) | 5.86396 | + | 22.1994i | 0.304853 | + | 1.15409i | ||||
\(371\) | 6.85243 | − | 0.720219i | 0.355760 | − | 0.0373919i | ||||
\(372\) | 0.245454 | + | 0.822826i | 0.0127262 | + | 0.0426616i | ||||
\(373\) | 0.301720 | + | 5.75716i | 0.0156225 | + | 0.298095i | 0.995255 | + | 0.0972975i | \(0.0310198\pi\) |
−0.979633 | + | 0.200797i | \(0.935647\pi\) | |||||||
\(374\) | −2.23845 | − | 3.87711i | −0.115747 | − | 0.200480i | ||||
\(375\) | 0.338042 | + | 19.3620i | 0.0174564 | + | 0.999848i | ||||
\(376\) | −3.34726 | + | 5.79763i | −0.172622 | + | 0.298990i | ||||
\(377\) | 15.3277 | + | 7.80986i | 0.789418 | + | 0.402228i | ||||
\(378\) | −0.436735 | − | 3.17570i | −0.0224632 | − | 0.163340i | ||||
\(379\) | 18.9029 | + | 26.0177i | 0.970979 | + | 1.33644i | 0.941551 | + | 0.336871i | \(0.109369\pi\) |
0.0294286 | + | 0.999567i | \(0.490631\pi\) | |||||||
\(380\) | −4.86213 | − | 1.32131i | −0.249422 | − | 0.0677819i | ||||
\(381\) | 24.2781 | − | 8.64989i | 1.24381 | − | 0.443148i | ||||
\(382\) | −0.828450 | + | 3.09182i | −0.0423872 | + | 0.158191i | ||||
\(383\) | 18.2564 | − | 14.7838i | 0.932859 | − | 0.755414i | −0.0369405 | − | 0.999317i | \(-0.511761\pi\) |
0.969800 | + | 0.243903i | \(0.0784279\pi\) | |||||||
\(384\) | −6.81648 | + | 0.910741i | −0.347852 | + | 0.0464760i | ||||
\(385\) | −3.13526 | − | 2.84321i | −0.159788 | − | 0.144904i | ||||
\(386\) | −24.2491 | + | 7.87900i | −1.23425 | + | 0.401031i | ||||
\(387\) | −16.5532 | + | 5.44891i | −0.841446 | + | 0.276984i | ||||
\(388\) | 1.65024 | + | 3.23877i | 0.0837781 | + | 0.164424i | ||||
\(389\) | −3.09586 | − | 0.658045i | −0.156966 | − | 0.0333642i | 0.128758 | − | 0.991676i | \(-0.458901\pi\) |
−0.285725 | + | 0.958312i | \(0.592234\pi\) | |||||||
\(390\) | 0.589116 | + | 23.9879i | 0.0298310 | + | 1.21468i | ||||
\(391\) | −2.05299 | + | 0.436377i | −0.103824 | + | 0.0220685i | ||||
\(392\) | −13.0257 | − | 16.0854i | −0.657898 | − | 0.812436i | ||||
\(393\) | 9.50289 | + | 11.0832i | 0.479357 | + | 0.559075i | ||||
\(394\) | 10.8467 | + | 24.3622i | 0.546451 | + | 1.22735i | ||||
\(395\) | 12.8997 | − | 15.8148i | 0.649056 | − | 0.795727i | ||||
\(396\) | −3.49214 | + | 5.42295i | −0.175487 | + | 0.272514i | ||||
\(397\) | 14.5612 | + | 2.30626i | 0.730804 | + | 0.115748i | 0.510737 | − | 0.859737i | \(-0.329372\pi\) |
0.220067 | + | 0.975485i | \(0.429372\pi\) | |||||||
\(398\) | −13.4026 | − | 20.6382i | −0.671813 | − | 1.03450i | ||||
\(399\) | −3.09833 | + | 1.48515i | −0.155111 | + | 0.0743504i | ||||
\(400\) | 9.24132 | − | 8.20292i | 0.462066 | − | 0.410146i | ||||
\(401\) | −11.9028 | + | 6.87210i | −0.594399 | + | 0.343176i | −0.766835 | − | 0.641844i | \(-0.778169\pi\) |
0.172436 | + | 0.985021i | \(0.444836\pi\) | |||||||
\(402\) | 21.9134 | − | 11.9526i | 1.09294 | − | 0.596143i | ||||
\(403\) | −3.40626 | − | 2.75833i | −0.169678 | − | 0.137402i | ||||
\(404\) | 6.25603 | − | 4.54527i | 0.311249 | − | 0.226136i | ||||
\(405\) | 12.6000 | − | 15.6921i | 0.626097 | − | 0.779745i | ||||
\(406\) | −1.64545 | − | 1.19549i | −0.0816626 | − | 0.0593313i | ||||
\(407\) | −8.15418 | − | 30.4318i | −0.404188 | − | 1.50845i | ||||
\(408\) | −2.36391 | + | 4.98066i | −0.117031 | + | 0.246579i | ||||
\(409\) | 1.87611 | + | 8.82638i | 0.0927674 | + | 0.436436i | 0.999879 | + | 0.0155465i | \(0.00494880\pi\) |
−0.907112 | + | 0.420890i | \(0.861718\pi\) | |||||||
\(410\) | −5.81828 | − | 0.0206451i | −0.287344 | − | 0.00101959i | ||||
\(411\) | 19.8926 | + | 20.8819i | 0.981230 | + | 1.03003i | ||||
\(412\) | 0.00105551 | − | 0.0201404i | 5.20014e−5 | − | 0.000992246i | ||||
\(413\) | 4.74581 | − | 2.41811i | 0.233526 | − | 0.118988i | ||||
\(414\) | −4.56756 | − | 5.59634i | −0.224483 | − | 0.275045i | ||||
\(415\) | −11.1894 | + | 4.93433i | −0.549264 | + | 0.242217i | ||||
\(416\) | −12.4726 | + | 11.2304i | −0.611521 | + | 0.550616i | ||||
\(417\) | 0.814648 | + | 10.1028i | 0.0398935 | + | 0.494734i | ||||
\(418\) | −15.9525 | − | 4.27445i | −0.780260 | − | 0.209070i | ||||
\(419\) | 2.59078 | − | 24.6496i | 0.126568 | − | 1.20421i | −0.728259 | − | 0.685302i | \(-0.759670\pi\) |
0.854827 | − | 0.518913i | \(-0.173663\pi\) | |||||||
\(420\) | −0.156926 | + | 1.17718i | −0.00765721 | + | 0.0574404i | ||||
\(421\) | −1.99467 | − | 18.9780i | −0.0972144 | − | 0.924934i | −0.929061 | − | 0.369927i | \(-0.879383\pi\) |
0.831846 | − | 0.555006i | \(-0.187284\pi\) | |||||||
\(422\) | −0.178947 | + | 1.12983i | −0.00871101 | + | 0.0549992i | ||||
\(423\) | −3.81804 | + | 5.29780i | −0.185640 | + | 0.257588i | ||||
\(424\) | − | 40.7848i | − | 1.98069i | ||||||
\(425\) | −0.773235 | − | 5.11677i | −0.0375074 | − | 0.248200i | ||||
\(426\) | −13.4528 | − | 28.0654i | −0.651790 | − | 1.35977i | ||||
\(427\) | 0.552617 | − | 0.0289614i | 0.0267430 | − | 0.00140154i | ||||
\(428\) | 2.82982 | + | 7.37194i | 0.136785 | + | 0.356336i | ||||
\(429\) | −0.925132 | − | 32.9116i | −0.0446658 | − | 1.58899i | ||||
\(430\) | −15.4046 | + | 0.752522i | −0.742877 | + | 0.0362898i | ||||
\(431\) | 4.15662 | − | 5.72109i | 0.200217 | − | 0.275575i | −0.697088 | − | 0.716985i | \(-0.745522\pi\) |
0.897306 | + | 0.441410i | \(0.145522\pi\) | |||||||
\(432\) | −12.8350 | + | 0.410176i | −0.617523 | + | 0.0197346i | ||||
\(433\) | −19.0459 | + | 3.01658i | −0.915289 | + | 0.144968i | −0.596273 | − | 0.802782i | \(-0.703352\pi\) |
−0.319016 | + | 0.947749i | \(0.603352\pi\) | |||||||
\(434\) | 0.346751 | + | 0.385106i | 0.0166446 | + | 0.0184857i | ||||
\(435\) | −1.64607 | − | 12.6622i | −0.0789229 | − | 0.607105i | ||||
\(436\) | 5.64030 | − | 6.26419i | 0.270121 | − | 0.300000i | ||||
\(437\) | −4.21695 | + | 6.49353i | −0.201724 | + | 0.310628i | ||||
\(438\) | 5.56690 | + | 4.25465i | 0.265997 | + | 0.203295i | ||||
\(439\) | 5.98920 | − | 28.1770i | 0.285849 | − | 1.34481i | −0.567458 | − | 0.823403i | \(-0.692073\pi\) |
0.853306 | − | 0.521410i | \(-0.174594\pi\) | |||||||
\(440\) | −18.6775 | + | 16.6976i | −0.890413 | + | 0.796029i | ||||
\(441\) | −11.0614 | − | 16.8905i | −0.526731 | − | 0.804309i | ||||
\(442\) | −1.00309 | − | 6.33325i | −0.0477120 | − | 0.301242i | ||||
\(443\) | 10.6292 | − | 2.84808i | 0.505007 | − | 0.135316i | 0.00268407 | − | 0.999996i | \(-0.499146\pi\) |
0.502323 | + | 0.864680i | \(0.332479\pi\) | |||||||
\(444\) | −5.72826 | + | 6.73310i | −0.271851 | + | 0.319539i | ||||
\(445\) | −22.6483 | − | 11.6413i | −1.07363 | − | 0.551849i | ||||
\(446\) | −0.908377 | + | 2.04025i | −0.0430129 | + | 0.0966086i | ||||
\(447\) | 0.100607 | − | 0.422635i | 0.00475854 | − | 0.0199899i | ||||
\(448\) | 3.81798 | − | 2.47943i | 0.180383 | − | 0.117142i | ||||
\(449\) | −10.1447 | −0.478756 | −0.239378 | − | 0.970926i | \(-0.576944\pi\) | ||||
−0.239378 | + | 0.970926i | \(0.576944\pi\) | |||||||
\(450\) | 14.4429 | − | 10.4218i | 0.680845 | − | 0.491288i | ||||
\(451\) | 7.98352 | 0.375929 | ||||||||
\(452\) | −2.77260 | + | 1.80055i | −0.130412 | + | 0.0846906i | ||||
\(453\) | −28.8546 | + | 8.60748i | −1.35571 | + | 0.404415i | ||||
\(454\) | −10.7648 | + | 24.1782i | −0.505218 | + | 1.13474i | ||||
\(455\) | −2.73295 | − | 5.41110i | −0.128123 | − | 0.253676i | ||||
\(456\) | 6.82580 | + | 19.1583i | 0.319647 | + | 0.897171i | ||||
\(457\) | −16.1787 | + | 4.33508i | −0.756809 | + | 0.202786i | −0.616536 | − | 0.787327i | \(-0.711465\pi\) |
−0.140273 | + | 0.990113i | \(0.544798\pi\) | |||||||
\(458\) | 5.49717 | + | 34.7078i | 0.256866 | + | 1.62179i | ||||
\(459\) | −2.78344 | + | 4.60152i | −0.129920 | + | 0.214781i | ||||
\(460\) | 1.07982 | + | 2.44867i | 0.0503470 | + | 0.114170i | ||||
\(461\) | 3.40393 | − | 16.0142i | 0.158537 | − | 0.745857i | −0.824998 | − | 0.565136i | \(-0.808824\pi\) |
0.983534 | − | 0.180721i | \(-0.0578430\pi\) | |||||||
\(462\) | −0.500681 | + | 3.86038i | −0.0232938 | + | 0.179601i | ||||
\(463\) | −15.4980 | + | 23.8648i | −0.720253 | + | 1.10909i | 0.269037 | + | 0.963130i | \(0.413295\pi\) |
−0.989290 | + | 0.145963i | \(0.953372\pi\) | |||||||
\(464\) | −5.45190 | + | 6.05495i | −0.253098 | + | 0.281094i | ||||
\(465\) | −0.260525 | + | 3.24287i | −0.0120816 | + | 0.150384i | ||||
\(466\) | −17.8975 | − | 19.8772i | −0.829087 | − | 0.920794i | ||||
\(467\) | 14.3112 | − | 2.26668i | 0.662245 | − | 0.104889i | 0.183741 | − | 0.982975i | \(-0.441179\pi\) |
0.478504 | + | 0.878085i | \(0.341179\pi\) | |||||||
\(468\) | −7.45304 | + | 5.45885i | −0.344517 | + | 0.252336i | ||||
\(469\) | −3.70667 | + | 5.10180i | −0.171158 | + | 0.235579i | ||||
\(470\) | −4.50425 | + | 3.62108i | −0.207766 | + | 0.167028i | ||||
\(471\) | −33.2899 | + | 20.4882i | −1.53392 | + | 0.944046i | ||||
\(472\) | −11.2987 | − | 29.4341i | −0.520064 | − | 1.35481i | ||||
\(473\) | 21.1334 | − | 1.10756i | 0.971716 | − | 0.0509255i | ||||
\(474\) | −18.7152 | − | 1.43673i | −0.859619 | − | 0.0659911i | ||||
\(475\) | −15.3641 | − | 11.3301i | −0.704953 | − | 0.519862i | ||||
\(476\) | − | 0.317358i | − | 0.0145461i | ||||||
\(477\) | 4.00641 | − | 39.5817i | 0.183441 | − | 1.81232i | ||||
\(478\) | 2.17909 | − | 13.7582i | 0.0996691 | − | 0.629286i | ||||
\(479\) | 0.522567 | + | 4.97189i | 0.0238767 | + | 0.227171i | 0.999953 | + | 0.00974125i | \(0.00310079\pi\) |
−0.976076 | + | 0.217430i | \(0.930233\pi\) | |||||||
\(480\) | 12.1087 | + | 2.92787i | 0.552684 | + | 0.133638i | ||||
\(481\) | 4.71681 | − | 44.8774i | 0.215068 | − | 2.04623i | ||||
\(482\) | 20.6959 | + | 5.54544i | 0.942670 | + | 0.252588i | ||||
\(483\) | 1.64871 | + | 0.782506i | 0.0750188 | + | 0.0356053i | ||||
\(484\) | 0.996378 | − | 0.897143i | 0.0452899 | − | 0.0407792i | ||||
\(485\) | 1.39099 | + | 13.7019i | 0.0631615 | + | 0.622170i | ||||
\(486\) | −18.4652 | − | 1.27480i | −0.837598 | − | 0.0578259i | ||||
\(487\) | 5.12953 | − | 2.61363i | 0.232441 | − | 0.118435i | −0.333891 | − | 0.942612i | \(-0.608362\pi\) |
0.566332 | + | 0.824177i | \(0.308362\pi\) | |||||||
\(488\) | 0.171431 | − | 3.27109i | 0.00776030 | − | 0.148075i | ||||
\(489\) | 8.92048 | − | 30.3290i | 0.403398 | − | 1.37152i | ||||
\(490\) | −5.46131 | − | 17.0134i | −0.246717 | − | 0.768586i | ||||
\(491\) | −1.17754 | − | 5.53987i | −0.0531415 | − | 0.250011i | 0.943556 | − | 0.331212i | \(-0.107458\pi\) |
−0.996698 | + | 0.0812014i | \(0.974124\pi\) | |||||||
\(492\) | −1.27236 | − | 1.84369i | −0.0573622 | − | 0.0831198i | ||||
\(493\) | 0.883135 | + | 3.29590i | 0.0397744 | + | 0.148440i | ||||
\(494\) | −19.1369 | − | 13.9037i | −0.861008 | − | 0.625559i | ||||
\(495\) | −19.7668 | + | 14.3703i | −0.888450 | + | 0.645899i | ||||
\(496\) | 1.67947 | − | 1.22021i | 0.0754106 | − | 0.0547890i | ||||
\(497\) | 6.11061 | + | 4.94827i | 0.274098 | + | 0.221960i | ||||
\(498\) | 9.60124 | + | 5.85829i | 0.430242 | + | 0.262516i | ||||
\(499\) | 7.79783 | − | 4.50208i | 0.349079 | − | 0.201541i | −0.315201 | − | 0.949025i | \(-0.602072\pi\) |
0.664279 | + | 0.747484i | \(0.268738\pi\) | |||||||
\(500\) | −6.18488 | + | 2.29892i | −0.276596 | + | 0.102811i | ||||
\(501\) | 0.860162 | − | 11.2047i | 0.0384292 | − | 0.500590i | ||||
\(502\) | 9.33505 | + | 14.3747i | 0.416644 | + | 0.641575i | ||||
\(503\) | 27.7817 | + | 4.40020i | 1.23873 | + | 0.196195i | 0.741218 | − | 0.671264i | \(-0.234248\pi\) |
0.497509 | + | 0.867459i | \(0.334248\pi\) | |||||||
\(504\) | 4.26287 | − | 2.19273i | 0.189883 | − | 0.0976717i | ||||
\(505\) | 28.3271 | − | 7.48259i | 1.26054 | − | 0.332971i | ||||
\(506\) | 3.56793 | + | 8.01369i | 0.158614 | + | 0.356252i | ||||
\(507\) | 8.18058 | − | 23.2431i | 0.363312 | − | 1.03226i | ||||
\(508\) | 5.52656 | + | 6.82473i | 0.245201 | + | 0.302798i | ||||
\(509\) | 4.06044 | − | 0.863074i | 0.179976 | − | 0.0382551i | −0.117042 | − | 0.993127i | \(-0.537341\pi\) |
0.297018 | + | 0.954872i | \(0.404008\pi\) | |||||||
\(510\) | −3.45771 | + | 3.27058i | −0.153110 | + | 0.144824i | ||||
\(511\) | −1.73145 | − | 0.368032i | −0.0765950 | − | 0.0162808i | ||||
\(512\) | −10.5101 | − | 20.6272i | −0.464483 | − | 0.911600i | ||||
\(513\) | 4.74247 | + | 19.2637i | 0.209385 | + | 0.850514i | ||||
\(514\) | −9.37741 | + | 3.04690i | −0.413620 | + | 0.134393i | ||||
\(515\) | 0.0313277 | − | 0.0696966i | 0.00138046 | − | 0.00307120i | ||||
\(516\) | −3.62387 | − | 4.70396i | −0.159532 | − | 0.207080i | ||||
\(517\) | 6.16277 | − | 4.99051i | 0.271038 | − | 0.219483i | ||||
\(518\) | −1.38083 | + | 5.15334i | −0.0606704 | + | 0.226425i | ||||
\(519\) | −6.36849 | + | 34.7338i | −0.279546 | + | 1.52464i | ||||
\(520\) | −33.5453 | + | 12.7404i | −1.47106 | + | 0.558705i | ||||
\(521\) | −2.57762 | − | 3.54779i | −0.112928 | − | 0.155432i | 0.748812 | − | 0.662783i | \(-0.230625\pi\) |
−0.861739 | + | 0.507351i | \(0.830625\pi\) | |||||||
\(522\) | −8.69703 | + | 7.89159i | −0.380658 | + | 0.345406i | ||||
\(523\) | 6.22141 | + | 3.16996i | 0.272043 | + | 0.138613i | 0.584691 | − | 0.811256i | \(-0.301216\pi\) |
−0.312648 | + | 0.949869i | \(0.601216\pi\) | |||||||
\(524\) | −2.48727 | + | 4.30808i | −0.108657 | + | 0.188199i | ||||
\(525\) | −2.16745 | + | 3.94316i | −0.0945955 | + | 0.172094i | ||||
\(526\) | −5.63545 | − | 9.76088i | −0.245717 | − | 0.425595i | ||||
\(527\) | −0.0454998 | − | 0.868188i | −0.00198200 | − | 0.0378189i | ||||
\(528\) | 15.1702 | + | 3.61122i | 0.660199 | + | 0.157158i | ||||
\(529\) | −18.7840 | + | 1.97428i | −0.816696 | + | 0.0858382i | ||||
\(530\) | 12.7344 | − | 32.8256i | 0.553146 | − | 1.42585i | ||||
\(531\) | −8.07399 | − | 29.6757i | −0.350381 | − | 1.28782i | ||||
\(532\) | −0.827831 | − | 0.827831i | −0.0358910 | − | 0.0358910i | ||||
\(533\) | 10.6752 | + | 4.09782i | 0.462394 | + | 0.177496i | ||||
\(534\) | 3.10166 | + | 23.2145i | 0.134222 | + | 1.00459i | ||||
\(535\) | −0.106159 | + | 29.9181i | −0.00458965 | + | 1.29347i | ||||
\(536\) | 27.7401 | + | 24.9773i | 1.19819 | + | 1.07885i | ||||
\(537\) | 26.2354 | + | 3.40266i | 1.13214 | + | 0.146836i | ||||
\(538\) | −7.78166 | − | 0.407819i | −0.335491 | − | 0.0175823i | ||||
\(539\) | 7.57645 | + | 23.3179i | 0.326341 | + | 1.00437i | ||||
\(540\) | 6.46892 | + | 2.27463i | 0.278378 | + | 0.0978843i | ||||
\(541\) | −1.97652 | + | 6.08311i | −0.0849774 | + | 0.261533i | −0.984512 | − | 0.175315i | \(-0.943906\pi\) |
0.899535 | + | 0.436849i | \(0.143906\pi\) | |||||||
\(542\) | −9.20438 | + | 23.9782i | −0.395362 | + | 1.02995i | ||||
\(543\) | 1.08054 | + | 5.76818i | 0.0463705 | + | 0.247536i | ||||
\(544\) | −3.31080 | − | 0.347979i | −0.141950 | − | 0.0149195i | ||||
\(545\) | 28.5076 | − | 14.3982i | 1.22113 | − | 0.616750i | ||||
\(546\) | −2.65096 | + | 4.90492i | −0.113451 | + | 0.209911i | ||||
\(547\) | −14.0670 | + | 17.3713i | −0.601463 | + | 0.742745i | −0.983401 | − | 0.181443i | \(-0.941923\pi\) |
0.381939 | + | 0.924188i | \(0.375257\pi\) | |||||||
\(548\) | −4.46134 | + | 8.75588i | −0.190579 | + | 0.374033i | ||||
\(549\) | 0.487703 | − | 3.15776i | 0.0208146 | − | 0.134770i | ||||
\(550\) | −20.2461 | + | 7.60733i | −0.863295 | + | 0.324378i | ||||
\(551\) | 10.9010 | + | 6.29372i | 0.464400 | + | 0.268122i | ||||
\(552\) | 5.62660 | − | 9.22153i | 0.239484 | − | 0.392494i | ||||
\(553\) | 4.42713 | − | 1.69942i | 0.188261 | − | 0.0722665i | ||||
\(554\) | 16.6267 | + | 7.40269i | 0.706401 | + | 0.314510i | ||||
\(555\) | −29.4609 | + | 15.9340i | −1.25055 | + | 0.676360i | ||||
\(556\) | −3.15497 | + | 1.40468i | −0.133800 | + | 0.0595718i | ||||
\(557\) | 12.9165 | − | 12.9165i | 0.547288 | − | 0.547288i | −0.378367 | − | 0.925656i | \(-0.623514\pi\) |
0.925656 | + | 0.378367i | \(0.123514\pi\) | |||||||
\(558\) | 2.58552 | − | 1.50603i | 0.109454 | − | 0.0637554i | ||||
\(559\) | 28.8271 | + | 9.36650i | 1.21926 | + | 0.396161i | ||||
\(560\) | 2.81056 | − | 0.586987i | 0.118768 | − | 0.0248047i | ||||
\(561\) | 4.72850 | − | 4.50448i | 0.199637 | − | 0.190179i | ||||
\(562\) | 12.4901 | + | 8.11116i | 0.526863 | + | 0.342149i | ||||
\(563\) | −1.28460 | − | 0.834227i | −0.0541393 | − | 0.0351585i | 0.517286 | − | 0.855813i | \(-0.326942\pi\) |
−0.571425 | + | 0.820654i | \(0.693609\pi\) | |||||||
\(564\) | −2.13467 | − | 0.627857i | −0.0898858 | − | 0.0264375i | ||||
\(565\) | −12.2612 | + | 2.56075i | −0.515831 | + | 0.107732i | ||||
\(566\) | 9.53558 | + | 3.09830i | 0.400810 | + | 0.130231i | ||||
\(567\) | 4.35252 | − | 1.70929i | 0.182789 | − | 0.0717834i | ||||
\(568\) | 32.9106 | − | 32.9106i | 1.38090 | − | 1.38090i | ||||
\(569\) | −19.6977 | + | 8.76996i | −0.825769 | + | 0.367656i | −0.775709 | − | 0.631090i | \(-0.782608\pi\) |
−0.0500595 | + | 0.998746i | \(0.515941\pi\) | |||||||
\(570\) | −0.488142 | + | 17.5508i | −0.0204460 | + | 0.735121i | ||||
\(571\) | −27.0104 | − | 12.0258i | −1.13035 | − | 0.503263i | −0.245618 | − | 0.969367i | \(-0.578991\pi\) |
−0.884730 | + | 0.466103i | \(0.845657\pi\) | |||||||
\(572\) | 10.4734 | − | 4.02038i | 0.437917 | − | 0.168101i | ||||
\(573\) | −4.66788 | − | 0.113254i | −0.195004 | − | 0.00473126i | ||||
\(574\) | −1.17081 | − | 0.675967i | −0.0488686 | − | 0.0282143i | ||||
\(575\) | 0.458798 | + | 10.1293i | 0.0191332 | + | 0.422421i | ||||
\(576\) | −9.51425 | − | 24.5035i | −0.396427 | − | 1.02098i | ||||
\(577\) | 8.18599 | − | 16.0659i | 0.340787 | − | 0.668832i | −0.655475 | − | 0.755217i | \(-0.727531\pi\) |
0.996262 | + | 0.0863848i | \(0.0275314\pi\) | |||||||
\(578\) | −11.9025 | + | 14.6984i | −0.495080 | + | 0.611372i | ||||
\(579\) | −19.4944 | − | 31.6752i | −0.810161 | − | 1.31638i | ||||
\(580\) | 3.88354 | − | 1.96144i | 0.161255 | − | 0.0814442i | ||||
\(581\) | −2.82595 | − | 0.297020i | −0.117240 | − | 0.0123225i | ||||
\(582\) | 9.61604 | − | 8.24489i | 0.398598 | − | 0.341762i | ||||
\(583\) | −17.3134 | + | 45.1029i | −0.717046 | + | 1.86797i | ||||
\(584\) | −3.23785 | + | 9.96509i | −0.133983 | + | 0.412358i | ||||
\(585\) | −33.8073 | + | 9.06937i | −1.39776 | + | 0.374972i | ||||
\(586\) | 3.95935 | + | 12.1856i | 0.163559 | + | 0.503384i | ||||
\(587\) | −4.06898 | − | 0.213246i | −0.167945 | − | 0.00880161i | −0.0318218 | − | 0.999494i | \(-0.510131\pi\) |
−0.136123 | + | 0.990692i | \(0.543464\pi\) | |||||||
\(588\) | 4.17748 | − | 5.46592i | 0.172276 | − | 0.225411i | ||||
\(589\) | −2.38336 | − | 2.14599i | −0.0982046 | − | 0.0884238i | ||||
\(590\) | 0.0965772 | − | 27.2177i | 0.00397602 | − | 1.12054i | ||||
\(591\) | −30.8169 | + | 23.7409i | −1.26764 | + | 0.976569i | ||||
\(592\) | 19.9529 | + | 7.65920i | 0.820059 | + | 0.314791i | ||||
\(593\) | 20.3883 | + | 20.3883i | 0.837248 | + | 0.837248i | 0.988496 | − | 0.151247i | \(-0.0483290\pi\) |
−0.151247 | + | 0.988496i | \(0.548329\pi\) | |||||||
\(594\) | 21.2303 | + | 7.38053i | 0.871088 | + | 0.302827i | ||||
\(595\) | 0.434890 | − | 1.12102i | 0.0178288 | − | 0.0459574i | ||||
\(596\) | 0.147220 | − | 0.0154734i | 0.00603035 | − | 0.000633816i | ||||
\(597\) | 24.6598 | − | 26.0863i | 1.00926 | − | 1.06764i | ||||
\(598\) | 0.657555 | + | 12.5469i | 0.0268894 | + | 0.513081i | ||||
\(599\) | −17.8913 | − | 30.9886i | −0.731018 | − | 1.26616i | −0.956449 | − | 0.291901i | \(-0.905712\pi\) |
0.225431 | − | 0.974259i | \(-0.427621\pi\) | |||||||
\(600\) | 21.8717 | + | 15.1992i | 0.892909 | + | 0.620506i | ||||
\(601\) | 7.24440 | − | 12.5477i | 0.295505 | − | 0.511830i | −0.679597 | − | 0.733586i | \(-0.737845\pi\) |
0.975102 | + | 0.221756i | \(0.0711787\pi\) | |||||||
\(602\) | −3.19306 | − | 1.62695i | −0.130140 | − | 0.0663094i | ||||
\(603\) | 24.4682 | + | 26.9655i | 0.996422 | + | 1.09812i | ||||
\(604\) | −6.03062 | − | 8.30044i | −0.245383 | − | 0.337740i | ||||
\(605\) | 4.74895 | − | 1.80364i | 0.193072 | − | 0.0733286i | ||||
\(606\) | −20.5241 | − | 17.4611i | −0.833735 | − | 0.709309i | ||||
\(607\) | 0.471143 | − | 1.75833i | 0.0191231 | − | 0.0713684i | −0.955705 | − | 0.294327i | \(-0.904905\pi\) |
0.974828 | + | 0.222958i | \(0.0715713\pi\) | |||||||
\(608\) | −9.54395 | + | 7.72854i | −0.387058 | + | 0.313434i | ||||
\(609\) | 1.13012 | − | 2.74325i | 0.0457948 | − | 0.111162i | ||||
\(610\) | 1.15932 | − | 2.57920i | 0.0469394 | − | 0.104429i | ||||
\(611\) | 10.8021 | − | 3.50982i | 0.437007 | − | 0.141992i | ||||
\(612\) | −1.79384 | − | 0.374091i | −0.0725118 | − | 0.0151217i | ||||
\(613\) | −7.51388 | − | 14.7468i | −0.303483 | − | 0.595619i | 0.688022 | − | 0.725690i | \(-0.258479\pi\) |
−0.991505 | + | 0.130071i | \(0.958479\pi\) | |||||||
\(614\) | 17.9808 | + | 3.82194i | 0.725646 | + | 0.154241i | ||||
\(615\) | −1.96792 | − | 8.25611i | −0.0793543 | − | 0.332918i | ||||
\(616\) | −5.69409 | + | 1.21032i | −0.229421 | + | 0.0487650i | ||||
\(617\) | −11.5221 | − | 14.2286i | −0.463863 | − | 0.572823i | 0.490512 | − | 0.871434i | \(-0.336810\pi\) |
−0.954375 | + | 0.298612i | \(0.903476\pi\) | |||||||
\(618\) | −0.0690780 | + | 0.0129403i | −0.00277873 | + | 0.000520533i | ||||
\(619\) | −1.36804 | − | 3.07266i | −0.0549861 | − | 0.123501i | 0.883963 | − | 0.467557i | \(-0.154866\pi\) |
−0.938949 | + | 0.344056i | \(0.888199\pi\) | |||||||
\(620\) | −1.07176 | + | 0.283105i | −0.0430429 | + | 0.0113698i | ||||
\(621\) | 6.36648 | − | 8.39679i | 0.255478 | − | 0.336951i | ||||
\(622\) | −25.0846 | − | 3.97300i | −1.00580 | − | 0.159303i | ||||
\(623\) | −3.22262 | − | 4.96240i | −0.129112 | − | 0.198815i | ||||
\(624\) | 18.4313 | + | 12.6154i | 0.737844 | + | 0.505020i | ||||
\(625\) | −24.9975 | − | 0.354818i | −0.999899 | − | 0.0141927i | ||||
\(626\) | 14.7281 | − | 8.50325i | 0.588652 | − | 0.339858i | ||||
\(627\) | 0.584342 | − | 24.0843i | 0.0233364 | − | 0.961833i | ||||
\(628\) | −10.3509 | − | 8.38202i | −0.413047 | − | 0.334479i | ||||
\(629\) | 7.24112 | − | 5.26098i | 0.288722 | − | 0.209769i | ||||
\(630\) | 4.11560 | − | 0.433800i | 0.163969 | − | 0.0172830i | ||||
\(631\) | 35.4540 | + | 25.7589i | 1.41140 | + | 1.02544i | 0.993117 | + | 0.117130i | \(0.0373693\pi\) |
0.418287 | + | 0.908315i | \(0.362631\pi\) | |||||||
\(632\) | −7.26500 | − | 27.1133i | −0.288986 | − | 1.07851i | ||||
\(633\) | −1.66327 | + | 0.134120i | −0.0661090 | + | 0.00533078i | ||||
\(634\) | 0.856586 | + | 4.02992i | 0.0340194 | + | 0.160049i | ||||
\(635\) | 10.1695 | + | 31.6806i | 0.403565 | + | 1.25721i | ||||
\(636\) | 13.1752 | − | 3.18988i | 0.522429 | − | 0.126487i | ||||
\(637\) | −1.83786 | + | 35.0685i | −0.0728187 | + | 1.38946i | ||||
\(638\) | 12.7067 | − | 6.47436i | 0.503061 | − | 0.256323i | ||||
\(639\) | 35.1727 | − | 28.7068i | 1.39141 | − | 1.13563i | ||||
\(640\) | −0.896693 | − | 8.83284i | −0.0354449 | − | 0.349149i | ||||
\(641\) | 5.84428 | − | 5.26222i | 0.230835 | − | 0.207845i | −0.545594 | − | 0.838050i | \(-0.683696\pi\) |
0.776429 | + | 0.630205i | \(0.217029\pi\) | |||||||
\(642\) | 22.6472 | − | 15.6292i | 0.893814 | − | 0.616834i | ||||
\(643\) | 6.97039 | + | 1.86771i | 0.274885 | + | 0.0736553i | 0.393628 | − | 0.919270i | \(-0.371220\pi\) |
−0.118743 | + | 0.992925i | \(0.537886\pi\) | |||||||
\(644\) | −0.0649995 | + | 0.618429i | −0.00256134 | + | 0.0243695i | ||||
\(645\) | −6.35473 | − | 21.5820i | −0.250217 | − | 0.849790i | ||||
\(646\) | −0.490436 | − | 4.66618i | −0.0192959 | − | 0.183589i | ||||
\(647\) | −4.82885 | + | 30.4881i | −0.189842 | + | 1.19861i | 0.690165 | + | 0.723652i | \(0.257538\pi\) |
−0.880007 | + | 0.474961i | \(0.842462\pi\) | |||||||
\(648\) | −7.36928 | − | 26.6802i | −0.289493 | − | 1.04810i | ||||
\(649\) | 37.3467i | 1.46598i | ||||||||
\(650\) | −30.9768 | − | 0.219834i | −1.21501 | − | 0.00862259i | ||||
\(651\) | −0.426968 | + | 0.623807i | −0.0167342 | + | 0.0244489i | ||||
\(652\) | 10.7571 | − | 0.563758i | 0.421282 | − | 0.0220785i | ||||
\(653\) | 4.76328 | + | 12.4088i | 0.186401 | + | 0.485592i | 0.994656 | − | 0.103240i | \(-0.0329211\pi\) |
−0.808255 | + | 0.588833i | \(0.799588\pi\) | |||||||
\(654\) | −25.8409 | − | 13.9662i | −1.01046 | − | 0.546122i | ||||
\(655\) | −14.6895 | + | 11.8092i | −0.573965 | + | 0.461425i | ||||
\(656\) | −3.18334 | + | 4.38149i | −0.124289 | + | 0.171069i | ||||
\(657\) | −4.12124 | + | 9.35307i | −0.160785 | + | 0.364898i | ||||
\(658\) | −1.32634 | + | 0.210071i | −0.0517061 | + | 0.00818944i | ||||
\(659\) | 21.3480 | + | 23.7094i | 0.831601 | + | 0.923586i | 0.998047 | − | 0.0624645i | \(-0.0198960\pi\) |
−0.166447 | + | 0.986050i | \(0.553229\pi\) | |||||||
\(660\) | −6.85483 | − | 4.72762i | −0.266824 | − | 0.184022i | ||||
\(661\) | −13.9762 | + | 15.5222i | −0.543612 | + | 0.603742i | −0.950877 | − | 0.309568i | \(-0.899816\pi\) |
0.407266 | + | 0.913310i | \(0.366482\pi\) | |||||||
\(662\) | 9.90337 | − | 15.2499i | 0.384906 | − | 0.592702i | ||||
\(663\) | 8.63481 | − | 3.59612i | 0.335348 | − | 0.139662i | ||||
\(664\) | −3.49702 | + | 16.4522i | −0.135711 | + | 0.638469i | ||||
\(665\) | −1.78978 | − | 4.05860i | −0.0694046 | − | 0.157386i | ||||
\(666\) | 27.5012 | + | 13.8796i | 1.06565 | + | 0.537824i | ||||
\(667\) | −1.04590 | − | 6.60353i | −0.0404973 | − | 0.255690i | ||||
\(668\) | 3.69861 | − | 0.991040i | 0.143104 | − | 0.0383445i | ||||
\(669\) | −3.20443 | − | 0.587536i | −0.123890 | − | 0.0227155i | ||||
\(670\) | 14.5278 | + | 28.7643i | 0.561258 | + | 1.11126i | ||||
\(671\) | −1.57817 | + | 3.54464i | −0.0609248 | + | 0.136839i | ||||
\(672\) | 2.10352 | + | 1.98850i | 0.0811451 | + | 0.0767079i | ||||
\(673\) | −3.58198 | + | 2.32617i | −0.138075 | + | 0.0896672i | −0.611828 | − | 0.790991i | \(-0.709566\pi\) |
0.473753 | + | 0.880658i | \(0.342899\pi\) | |||||||
\(674\) | −26.7921 | −1.03199 | ||||||||
\(675\) | 19.7335 | + | 16.8994i | 0.759542 | + | 0.650459i | ||||
\(676\) | 8.39598 | 0.322922 | ||||||||
\(677\) | 0.318278 | − | 0.206692i | 0.0122324 | − | 0.00794381i | −0.538508 | − | 0.842620i | \(-0.681012\pi\) |
0.550741 | + | 0.834676i | \(0.314345\pi\) | |||||||
\(678\) | 8.37171 | + | 7.91393i | 0.321514 | + | 0.303933i | ||||
\(679\) | −1.30160 | + | 2.92344i | −0.0499508 | + | 0.112191i | ||||
\(680\) | −6.33020 | − | 3.25374i | −0.242752 | − | 0.124775i | ||||
\(681\) | −37.9744 | − | 6.96266i | −1.45518 | − | 0.266810i | ||||
\(682\) | −3.50972 | + | 0.940427i | −0.134394 | + | 0.0360108i | ||||
\(683\) | −1.95353 | − | 12.3341i | −0.0747497 | − | 0.471951i | −0.996460 | − | 0.0840713i | \(-0.973208\pi\) |
0.921710 | − | 0.387880i | \(-0.126792\pi\) | |||||||
\(684\) | −5.65506 | + | 3.70343i | −0.216227 | + | 0.141604i | ||||
\(685\) | −27.7576 | + | 24.8153i | −1.06056 | + | 0.948143i | ||||
\(686\) | 1.76107 | − | 8.28519i | 0.0672381 | − | 0.316330i | ||||
\(687\) | −47.3209 | + | 19.7076i | −1.80540 | + | 0.751892i | ||||
\(688\) | −7.81888 | + | 12.0400i | −0.298092 | + | 0.459021i | ||||
\(689\) | −46.3012 | + | 51.4227i | −1.76394 | + | 1.95905i | ||||
\(690\) | 7.40782 | − | 5.66511i | 0.282011 | − | 0.215667i | ||||
\(691\) | 17.1043 | + | 18.9962i | 0.650676 | + | 0.722649i | 0.974729 | − | 0.223390i | \(-0.0717122\pi\) |
−0.324053 | + | 0.946039i | \(0.605046\pi\) | |||||||
\(692\) | −11.8842 | + | 1.88227i | −0.451769 | + | 0.0715532i | ||||
\(693\) | −5.64502 | + | 0.615266i | −0.214436 | + | 0.0233720i | ||||
\(694\) | 4.27779 | − | 5.88787i | 0.162383 | − | 0.223501i | ||||
\(695\) | −13.0694 | + | 0.638443i | −0.495749 | + | 0.0242175i | ||||
\(696\) | −15.4499 | − | 8.35019i | −0.585626 | − | 0.316513i | ||||
\(697\) | 0.812807 | + | 2.11743i | 0.0307873 | + | 0.0802035i | ||||
\(698\) | 29.5250 | − | 1.54734i | 1.11754 | − | 0.0585676i | ||||
\(699\) | 22.0379 | − | 32.1978i | 0.833550 | − | 1.21783i | ||||
\(700\) | −1.51256 | − | 0.250581i | −0.0571693 | − | 0.00947109i | ||||
\(701\) | 2.53613i | 0.0957882i | 0.998852 | + | 0.0478941i | \(0.0152510\pi\) | ||||
−0.998852 | + | 0.0478941i | \(0.984749\pi\) | |||||||
\(702\) | 24.5998 | + | 20.7661i | 0.928460 | + | 0.783765i | ||||
\(703\) | 5.16520 | − | 32.6118i | 0.194809 | − | 1.22998i | ||||
\(704\) | 3.33656 | + | 31.7452i | 0.125751 | + | 1.19644i | ||||
\(705\) | −6.68002 | − | 5.14304i | −0.251584 | − | 0.193698i | ||||
\(706\) | 1.48622 | − | 14.1404i | 0.0559345 | − | 0.532181i | ||||
\(707\) | 6.57582 | + | 1.76199i | 0.247309 | + | 0.0662663i | ||||
\(708\) | 8.62471 | − | 5.95204i | 0.324136 | − | 0.223691i | ||||
\(709\) | 31.8410 | − | 28.6698i | 1.19581 | − | 1.07672i | 0.200532 | − | 0.979687i | \(-0.435733\pi\) |
0.995282 | − | 0.0970287i | \(-0.0309339\pi\) | |||||||
\(710\) | 36.7638 | − | 16.2122i | 1.37972 | − | 0.608434i | ||||
\(711\) | −4.38727 | − | 27.0272i | −0.164535 | − | 1.01360i | ||||
\(712\) | −31.2069 | + | 15.9007i | −1.16953 | + | 0.595904i | ||||
\(713\) | −0.0891528 | + | 1.70114i | −0.00333880 | + | 0.0637081i | ||||
\(714\) | −1.07485 | + | 0.260234i | −0.0402251 | + | 0.00973900i | ||||
\(715\) | 42.5052 | + | 0.150822i | 1.58960 | + | 0.00564042i | ||||
\(716\) | 1.87416 | + | 8.81722i | 0.0700406 | + | 0.329515i | ||||
\(717\) | 20.2541 | − | 1.63321i | 0.756401 | − | 0.0609933i | ||||
\(718\) | 0.488772 | + | 1.82412i | 0.0182408 | + | 0.0680756i | ||||
\(719\) | −19.7220 | − | 14.3289i | −0.735508 | − | 0.534378i | 0.155793 | − | 0.987790i | \(-0.450207\pi\) |
−0.891301 | + | 0.453412i | \(0.850207\pi\) | |||||||
\(720\) | −0.00491166 | − | 16.5784i | −0.000183047 | − | 0.617839i | ||||
\(721\) | 0.0143644 | − | 0.0104363i | 0.000534957 | − | 0.000388669i | ||||
\(722\) | 4.08125 | + | 3.30493i | 0.151888 | + | 0.122997i | ||||
\(723\) | −0.758094 | + | 31.2456i | −0.0281938 | + | 1.16204i | ||||
\(724\) | −1.73171 | + | 0.999805i | −0.0643586 | + | 0.0371575i | ||||
\(725\) | 16.4059 | − | 1.60670i | 0.609299 | − | 0.0596713i | ||||
\(726\) | −3.85552 | − | 2.63893i | −0.143092 | − | 0.0979397i | ||||
\(727\) | 1.97225 | + | 3.03699i | 0.0731466 | + | 0.112636i | 0.873351 | − | 0.487092i | \(-0.161942\pi\) |
−0.800204 | + | 0.599728i | \(0.795276\pi\) | |||||||
\(728\) | −8.23511 | − | 1.30431i | −0.305213 | − | 0.0483411i | ||||
\(729\) | −4.53102 | − | 26.6171i | −0.167816 | − | 0.985818i | ||||
\(730\) | −5.71741 | + | 7.00941i | −0.211611 | + | 0.259430i | ||||
\(731\) | 2.44536 | + | 5.49237i | 0.0904449 | + | 0.203142i | ||||
\(732\) | 1.07010 | − | 0.200461i | 0.0395522 | − | 0.00740923i | ||||
\(733\) | −16.1433 | − | 19.9354i | −0.596268 | − | 0.736329i | 0.386271 | − | 0.922385i | \(-0.373763\pi\) |
−0.982539 | + | 0.186056i | \(0.940429\pi\) | |||||||
\(734\) | 14.2142 | − | 3.02133i | 0.524656 | − | 0.111519i | ||||
\(735\) | 22.2465 | − | 13.5830i | 0.820574 | − | 0.501015i | ||||
\(736\) | 6.38041 | + | 1.35620i | 0.235185 | + | 0.0499901i | ||||
\(737\) | −20.0740 | − | 39.3975i | −0.739436 | − | 1.45122i | ||||
\(738\) | −5.20096 | + | 5.82110i | −0.191450 | + | 0.214278i | ||||
\(739\) | −29.9562 | + | 9.73335i | −1.10196 | + | 0.358047i | −0.802855 | − | 0.596175i | \(-0.796687\pi\) |
−0.299101 | + | 0.954222i | \(0.596687\pi\) | |||||||
\(740\) | −8.45402 | − | 7.66652i | −0.310776 | − | 0.281827i | ||||
\(741\) | 13.1435 | − | 31.9044i | 0.482837 | − | 1.17204i | ||||
\(742\) | 6.35793 | − | 5.14855i | 0.233407 | − | 0.189009i | ||||
\(743\) | 2.34408 | − | 8.74824i | 0.0859961 | − | 0.320942i | −0.909505 | − | 0.415693i | \(-0.863539\pi\) |
0.995501 | + | 0.0947515i | \(0.0302056\pi\) | |||||||
\(744\) | 3.40808 | + | 2.89946i | 0.124946 | + | 0.106300i | ||||
\(745\) | 0.541236 | + | 0.147084i | 0.0198293 | + | 0.00538874i | ||||
\(746\) | 4.02352 | + | 5.53790i | 0.147311 | + | 0.202757i | ||||
\(747\) | −5.01001 | + | 15.6233i | −0.183307 | + | 0.571628i | ||||
\(748\) | 1.98268 | + | 1.01023i | 0.0724940 | + | 0.0369375i | ||||
\(749\) | −3.47588 | + | 6.02041i | −0.127006 | + | 0.219981i | ||||
\(750\) | 12.8577 | + | 19.0621i | 0.469497 | + | 0.696051i | ||||
\(751\) | 10.7556 | + | 18.6292i | 0.392476 | + | 0.679788i | 0.992775 | − | 0.119987i | \(-0.0382853\pi\) |
−0.600300 | + | 0.799775i | \(0.704952\pi\) | |||||||
\(752\) | 0.281542 | + | 5.37215i | 0.0102668 | + | 0.195902i | ||||
\(753\) | −17.1758 | + | 18.1693i | −0.625920 | + | 0.662126i | ||||
\(754\) | 20.3139 | − | 2.13508i | 0.739790 | − | 0.0777551i | ||||
\(755\) | −9.92783 | − | 37.5841i | −0.361311 | − | 1.36783i | ||||
\(756\) | 1.04175 | + | 1.20558i | 0.0378880 | + | 0.0438466i | ||||
\(757\) | 16.0153 | + | 16.0153i | 0.582086 | + | 0.582086i | 0.935476 | − | 0.353390i | \(-0.114971\pi\) |
−0.353390 | + | 0.935476i | \(0.614971\pi\) | |||||||
\(758\) | 35.6489 | + | 13.6843i | 1.29483 | + | 0.497037i | ||||
\(759\) | −10.1369 | + | 7.80931i | −0.367946 | + | 0.283460i | ||||
\(760\) | −24.9998 | + | 8.02496i | −0.906837 | + | 0.291096i | ||||
\(761\) | −10.9434 | − | 9.85349i | −0.396698 | − | 0.357189i | 0.446507 | − | 0.894780i | \(-0.352668\pi\) |
−0.843206 | + | 0.537591i | \(0.819334\pi\) | |||||||
\(762\) | 18.5826 | − | 24.3139i | 0.673175 | − | 0.880799i | ||||
\(763\) | 7.41073 | + | 0.388380i | 0.268286 | + | 0.0140603i | ||||
\(764\) | −0.491641 | − | 1.51311i | −0.0177869 | − | 0.0547425i | ||||
\(765\) | −5.82385 | − | 3.77960i | −0.210562 | − | 0.136652i | ||||
\(766\) | 8.61943 | − | 26.5279i | 0.311433 | − | 0.958491i | ||||
\(767\) | −19.1695 | + | 49.9382i | −0.692170 | + | 1.80316i | ||||
\(768\) | 16.8431 | − | 14.4415i | 0.607773 | − | 0.521111i | ||||
\(769\) | 29.9321 | + | 3.14599i | 1.07938 | + | 0.113447i | 0.627488 | − | 0.778626i | \(-0.284083\pi\) |
0.451890 | + | 0.892074i | \(0.350750\pi\) | |||||||
\(770\) | −4.96077 | − | 0.803764i | −0.178774 | − | 0.0289656i | ||||
\(771\) | −7.53873 | − | 12.2492i | −0.271501 | − | 0.441143i | ||||
\(772\) | 7.97546 | − | 9.84887i | 0.287043 | − | 0.354469i | ||||
\(773\) | −7.24319 | + | 14.2156i | −0.260519 | + | 0.511298i | −0.983803 | − | 0.179253i | \(-0.942632\pi\) |
0.723284 | + | 0.690551i | \(0.242632\pi\) | |||||||
\(774\) | −12.9600 | + | 16.1307i | −0.465839 | + | 0.579807i | ||||
\(775\) | −4.17378 | − | 0.468652i | −0.149927 | − | 0.0168345i | ||||
\(776\) | 16.4045 | + | 9.47115i | 0.588888 | + | 0.339995i | ||||
\(777\) | −7.78028 | − | 0.188768i | −0.279116 | − | 0.00677202i | ||||
\(778\) | −3.50842 | + | 1.34676i | −0.125783 | + | 0.0482836i | ||||
\(779\) | 7.64355 | + | 3.40313i | 0.273859 | + | 0.121930i | ||||
\(780\) | −6.73934 | − | 9.84003i | −0.241307 | − | 0.352330i | ||||
\(781\) | −50.3656 | + | 22.4242i | −1.80222 | + | 0.802401i | ||||
\(782\) | −1.76218 | + | 1.76218i | −0.0630156 | + | 0.0630156i | ||||
\(783\) | −14.1739 | − | 9.62155i | −0.506533 | − | 0.343846i | ||||
\(784\) | −15.8183 | − | 5.13967i | −0.564939 | − | 0.183560i | ||||
\(785\) | −25.0769 | − | 43.7925i | −0.895032 | − | 1.56302i | ||||
\(786\) | 16.6304 | + | 4.89139i | 0.593186 | + | 0.174470i | ||||
\(787\) | 28.9044 | + | 18.7708i | 1.03033 | + | 0.669105i | 0.944940 | − | 0.327242i | \(-0.106119\pi\) |
0.0853913 | + | 0.996347i | \(0.472786\pi\) | |||||||
\(788\) | −11.1166 | − | 7.21921i | −0.396013 | − | 0.257174i | ||||
\(789\) | 11.9043 | − | 11.3403i | 0.423805 | − | 0.403727i | ||||
\(790\) | 2.61847 | − | 24.0905i | 0.0931609 | − | 0.857101i | ||||
\(791\) | −2.76801 | − | 0.899380i | −0.0984190 | − | 0.0319783i | ||||
\(792\) | 0.129224 | + | 33.6120i | 0.00459179 | + | 1.19435i | ||||
\(793\) | −3.92967 | + | 3.92967i | −0.139547 | + | 0.139547i | ||||
\(794\) | 15.9915 | − | 7.11988i | 0.567518 | − | 0.252675i | ||||
\(795\) | 50.9105 | + | 6.78673i | 1.80561 | + | 0.240701i | ||||
\(796\) | 11.1739 | + | 4.97496i | 0.396050 | + | 0.176333i | ||||
\(797\) | −6.34369 | + | 2.43511i | −0.224705 | + | 0.0862561i | −0.468116 | − | 0.883667i | \(-0.655067\pi\) |
0.243411 | + | 0.969923i | \(0.421734\pi\) | |||||||
\(798\) | −2.12492 | + | 3.48256i | −0.0752213 | + | 0.123281i | ||||
\(799\) | 1.95105 | + | 1.12644i | 0.0690231 | + | 0.0398505i | ||||
\(800\) | −4.27266 | + | 15.5048i | −0.151061 | + | 0.548178i | ||||
\(801\) | −31.8483 | + | 12.3661i | −1.12530 | + | 0.436935i | ||||
\(802\) | −7.40883 | + | 14.5406i | −0.261615 | + | 0.513448i | ||||
\(803\) | 7.81089 | − | 9.64564i | 0.275640 | − | 0.340387i | ||||
\(804\) | −5.89906 | + | 10.9147i | −0.208044 | + | 0.384932i | ||||
\(805\) | −1.07706 | + | 2.09544i | −0.0379614 | + | 0.0738544i | ||||
\(806\) | −5.17574 | − | 0.543992i | −0.182308 | − | 0.0191613i | ||||
\(807\) | −2.09295 | − | 11.1726i | −0.0736753 | − | 0.393296i | ||||
\(808\) | 14.4412 | − | 37.6207i | 0.508041 | − | 1.32349i | ||||
\(809\) | −12.8231 | + | 39.4654i | −0.450836 | + | 1.38753i | 0.425120 | + | 0.905137i | \(0.360232\pi\) |
−0.875955 | + | 0.482392i | \(0.839768\pi\) | |||||||
\(810\) | 2.39930 | − | 23.7744i | 0.0843029 | − | 0.835349i | ||||
\(811\) | −3.67505 | − | 11.3106i | −0.129048 | − | 0.397170i | 0.865568 | − | 0.500791i | \(-0.166957\pi\) |
−0.994617 | + | 0.103620i | \(0.966957\pi\) | |||||||
\(812\) | 1.00955 | + | 0.0529083i | 0.0354283 | + | 0.00185672i | ||||
\(813\) | −37.1553 | − | 4.81894i | −1.30309 | − | 0.169008i | ||||
\(814\) | −27.7997 | − | 25.0310i | −0.974381 | − | 0.877336i | ||||
\(815\) | 38.7705 | + | 12.7496i | 1.35807 | + | 0.446598i | ||||
\(816\) | 0.586701 | + | 4.39119i | 0.0205386 | + | 0.153722i | ||||
\(817\) | 20.7056 | + | 7.94813i | 0.724397 | + | 0.278070i | ||||
\(818\) | 7.57611 | + | 7.57611i | 0.264893 | + | 0.264893i | ||||
\(819\) | −7.86406 | − | 2.07480i | −0.274792 | − | 0.0724993i | ||||
\(820\) | 2.43098 | − | 1.56646i | 0.0848934 | − | 0.0547031i | ||||
\(821\) | 29.6130 | − | 3.11245i | 1.03350 | − | 0.108625i | 0.427441 | − | 0.904043i | \(-0.359415\pi\) |
0.606061 | + | 0.795418i | \(0.292749\pi\) | |||||||
\(822\) | 33.3131 | + | 7.93008i | 1.16193 | + | 0.276593i | ||||
\(823\) | −2.86402 | − | 54.6488i | −0.0998336 | − | 1.90494i | −0.350021 | − | 0.936742i | \(-0.613826\pi\) |
0.250188 | − | 0.968197i | \(-0.419508\pi\) | |||||||
\(824\) | −0.0525493 | − | 0.0910181i | −0.00183064 | − | 0.00317077i | ||||
\(825\) | −17.7352 | − | 26.0931i | −0.617460 | − | 0.908445i | ||||
\(826\) | 3.16215 | − | 5.47701i | 0.110025 | − | 0.190570i | ||||
\(827\) | −28.9400 | − | 14.7457i | −1.00634 | − | 0.512758i | −0.128502 | − | 0.991709i | \(-0.541017\pi\) |
−0.877841 | + | 0.478951i | \(0.841017\pi\) | |||||||
\(828\) | 3.41900 | + | 1.09639i | 0.118818 | + | 0.0381020i | ||||
\(829\) | 6.13705 | + | 8.44692i | 0.213148 | + | 0.293374i | 0.902182 | − | 0.431356i | \(-0.141965\pi\) |
−0.689033 | + | 0.724730i | \(0.741965\pi\) | |||||||
\(830\) | −7.95148 | + | 12.1496i | −0.276000 | + | 0.421719i | ||||
\(831\) | −4.78804 | + | 26.1140i | −0.166095 | + | 0.905885i | ||||
\(832\) | −11.8329 | + | 44.1609i | −0.410231 | + | 1.53100i | ||||
\(833\) | −5.41314 | + | 4.38348i | −0.187554 | + | 0.151878i | ||||
\(834\) | 7.34452 | + | 9.53356i | 0.254320 | + | 0.330120i | ||||
\(835\) | 14.4229 | + | 1.56766i | 0.499123 | + | 0.0542513i | ||||
\(836\) | 7.80702 | − | 2.53665i | 0.270011 | − | 0.0877320i | ||||
\(837\) | 3.02272 | + | 3.14872i | 0.104481 | + | 0.108836i | ||||
\(838\) | −13.3606 | − | 26.2217i | −0.461535 | − | 0.905813i | ||||
\(839\) | 31.0962 | + | 6.60971i | 1.07356 | + | 0.228192i | 0.710589 | − | 0.703608i | \(-0.248429\pi\) |
0.362972 | + | 0.931800i | \(0.381762\pi\) | |||||||
\(840\) | 2.65522 | + | 5.59017i | 0.0916139 | + | 0.192879i | ||||
\(841\) | 17.7344 | − | 3.76957i | 0.611532 | − | 0.129985i | ||||
\(842\) | −14.2591 | − | 17.6085i | −0.491401 | − | 0.606830i | ||||
\(843\) | −7.21244 | + | 20.4924i | −0.248410 | + | 0.705796i | ||||
\(844\) | −0.231260 | − | 0.519419i | −0.00796030 | − | 0.0178791i | ||||
\(845\) | 29.6575 | + | 11.5054i | 1.02025 | + | 0.395797i | ||||
\(846\) | −0.376029 | + | 7.74464i | −0.0129281 | + | 0.266266i | ||||
\(847\) | 1.16583 | + | 0.184650i | 0.0400584 | + | 0.00634463i | ||||
\(848\) | −17.8497 | − | 27.4861i | −0.612961 | − | 0.943878i | ||||
\(849\) | −1.11949 | + | 14.5828i | −0.0384209 | + | 0.500482i | ||||
\(850\) | −4.07892 | − | 4.59527i | −0.139906 | − | 0.157616i | ||||
\(851\) | −15.1881 | + | 8.76886i | −0.520642 | + | 0.300593i | ||||
\(852\) | 13.2055 | + | 8.05744i | 0.452412 | + | 0.276043i | ||||
\(853\) | −6.90378 | − | 5.59057i | −0.236381 | − | 0.191417i | 0.503810 | − | 0.863815i | \(-0.331931\pi\) |
−0.740190 | + | 0.672397i | \(0.765265\pi\) | |||||||
\(854\) | 0.531570 | − | 0.386208i | 0.0181900 | − | 0.0132158i | ||||
\(855\) | −25.0506 | + | 5.33244i | −0.856714 | + | 0.182365i | ||||
\(856\) | 33.2906 | + | 24.1870i | 1.13785 | + | 0.826695i | ||||
\(857\) | −8.63726 | − | 32.2347i | −0.295043 | − | 1.10112i | −0.941183 | − | 0.337897i | \(-0.890284\pi\) |
0.646140 | − | 0.763219i | \(-0.276382\pi\) | |||||||
\(858\) | −22.2046 | − | 32.1753i | −0.758054 | − | 1.09845i | ||||
\(859\) | 3.96216 | + | 18.6405i | 0.135187 | + | 0.636005i | 0.992605 | + | 0.121385i | \(0.0387336\pi\) |
−0.857418 | + | 0.514620i | \(0.827933\pi\) | |||||||
\(860\) | 6.21780 | − | 4.48387i | 0.212025 | − | 0.152899i | ||||
\(861\) | 0.556476 | − | 1.89198i | 0.0189647 | − | 0.0644785i | ||||
\(862\) | 0.439445 | − | 8.38511i | 0.0149676 | − | 0.285598i | ||||
\(863\) | 6.96061 | − | 3.54661i | 0.236942 | − | 0.120728i | −0.331489 | − | 0.943459i | \(-0.607551\pi\) |
0.568430 | + | 0.822731i | \(0.307551\pi\) | |||||||
\(864\) | 13.7194 | − | 9.54601i | 0.466742 | − | 0.324762i | ||||
\(865\) | −44.5585 | − | 9.63658i | −1.51503 | − | 0.327654i | ||||
\(866\) | −17.0153 | + | 15.3206i | −0.578202 | + | 0.520616i | ||||
\(867\) | −24.9247 | − | 11.8297i | −0.846487 | − | 0.401758i | ||||
\(868\) | −0.248797 | − | 0.0666650i | −0.00844473 | − | 0.00226276i | ||||
\(869\) | −3.47558 | + | 33.0679i | −0.117901 | + | 1.12175i | ||||
\(870\) | −9.82759 | − | 11.5446i | −0.333187 | − | 0.391398i | ||||
\(871\) | −6.61990 | − | 62.9842i | −0.224307 | − | 2.13414i | ||||
\(872\) | 6.87159 | − | 43.3855i | 0.232701 | − | 1.46922i | ||||
\(873\) | 14.9902 | + | 10.8032i | 0.507342 | + | 0.365634i | ||||
\(874\) | 9.19333i | 0.310969i | ||||||||
\(875\) | −4.99950 | − | 2.95786i | −0.169014 | − | 0.0999941i | ||||
\(876\) | −3.47237 | − | 0.266566i | −0.117321 | − | 0.00900644i | ||||
\(877\) | −26.6685 | + | 1.39764i | −0.900531 | + | 0.0471948i | −0.496980 | − | 0.867762i | \(-0.665558\pi\) |
−0.403551 | + | 0.914957i | \(0.632224\pi\) | |||||||
\(878\) | −12.2575 | − | 31.9319i | −0.413671 | − | 1.07765i | ||||
\(879\) | −15.9174 | + | 9.79634i | −0.536881 | + | 0.330422i | ||||
\(880\) | −5.27949 | + | 19.4273i | −0.177972 | + | 0.654895i | ||||
\(881\) | 3.19056 | − | 4.39144i | 0.107493 | − | 0.147951i | −0.751881 | − | 0.659298i | \(-0.770853\pi\) |
0.859374 | + | 0.511347i | \(0.170853\pi\) | |||||||
\(882\) | −21.9378 | − | 9.66643i | −0.738683 | − | 0.325486i | ||||
\(883\) | −10.5487 | + | 1.67075i | −0.354993 | + | 0.0562253i | −0.331384 | − | 0.943496i | \(-0.607516\pi\) |
−0.0236087 | + | 0.999721i | \(0.507516\pi\) | |||||||
\(884\) | 2.13261 | + | 2.36851i | 0.0717276 | + | 0.0796616i | ||||
\(885\) | 38.6218 | − | 9.20589i | 1.29826 | − | 0.309452i | ||||
\(886\) | 8.74278 | − | 9.70984i | 0.293719 | − | 0.326208i | ||||
\(887\) | −10.6522 | + | 16.4030i | −0.357666 | + | 0.550758i | −0.971004 | − | 0.239063i | \(-0.923160\pi\) |
0.613338 | + | 0.789821i | \(0.289826\pi\) | |||||||
\(888\) | −5.92516 | + | 45.6845i | −0.198835 | + | 1.53307i | ||||
\(889\) | −1.60741 | + | 7.56227i | −0.0539108 | + | 0.253630i | ||||
\(890\) | −30.0815 | + | 3.05381i | −1.00833 | + | 0.102364i | ||||
\(891\) | −3.17640 | + | 32.6332i | −0.106413 | + | 1.09325i | ||||
\(892\) | −0.173652 | − | 1.09640i | −0.00581431 | − | 0.0367101i | ||||
\(893\) | 8.02763 | − | 2.15100i | 0.268635 | − | 0.0719804i | ||||
\(894\) | −0.173126 | − | 0.485923i | −0.00579021 | − | 0.0162517i | ||||
\(895\) | −5.46243 | + | 33.7138i | −0.182589 | + | 1.12693i | ||||
\(896\) | 0.839070 | − | 1.88458i | 0.0280314 | − | 0.0629595i | ||||
\(897\) | −17.5630 | + | 5.23914i | −0.586411 | + | 0.174930i | ||||
\(898\) | −10.1021 | + | 6.56039i | −0.337112 | + | 0.218923i | ||||
\(899\) | 2.76938 | 0.0923640 | ||||||||
\(900\) | −3.19934 | + | 8.25423i | −0.106645 | + | 0.275141i | ||||
\(901\) | −13.7251 | −0.457250 | ||||||||
\(902\) | 7.95004 | − | 5.16281i | 0.264707 | − | 0.171903i | ||||
\(903\) | 1.21059 | − | 5.08552i | 0.0402859 | − | 0.169235i | ||||
\(904\) | −7.00717 | + | 15.7384i | −0.233055 | + | 0.523450i | ||||
\(905\) | −7.48710 | + | 1.15862i | −0.248880 | + | 0.0385139i | ||||
\(906\) | −23.1672 | + | 27.2312i | −0.769680 | + | 0.904695i | ||||
\(907\) | −2.05800 | + | 0.551439i | −0.0683347 | + | 0.0183102i | −0.292824 | − | 0.956166i | \(-0.594595\pi\) |
0.224490 | + | 0.974476i | \(0.427928\pi\) | |||||||
\(908\) | −2.05788 | − | 12.9930i | −0.0682933 | − | 0.431187i | ||||
\(909\) | 17.7108 | − | 35.0923i | 0.587431 | − | 1.16394i | ||||
\(910\) | −6.22076 | − | 3.62105i | −0.206216 | − | 0.120037i | ||||
\(911\) | −3.55092 | + | 16.7058i | −0.117647 | + | 0.553487i | 0.879358 | + | 0.476160i | \(0.157972\pi\) |
−0.997006 | + | 0.0773269i | \(0.975361\pi\) | |||||||
\(912\) | 12.9849 | + | 9.92403i | 0.429972 | + | 0.328618i | ||||
\(913\) | 10.8513 | − | 16.7095i | 0.359125 | − | 0.553004i | ||||
\(914\) | −13.3074 | + | 14.7794i | −0.440171 | + | 0.488859i | ||||
\(915\) | 4.05468 | + | 0.758313i | 0.134044 | + | 0.0250690i | ||||
\(916\) | −11.6873 | − | 12.9800i | −0.386158 | − | 0.428872i | ||||
\(917\) | −4.32552 | + | 0.685095i | −0.142841 | + | 0.0226238i | ||||
\(918\) | 0.203961 | + | 6.38223i | 0.00673172 | + | 0.210645i | ||||
\(919\) | −9.31331 | + | 12.8187i | −0.307218 | + | 0.422849i | −0.934511 | − | 0.355934i | \(-0.884163\pi\) |
0.627293 | + | 0.778783i | \(0.284163\pi\) | |||||||
\(920\) | 11.6691 | + | 7.63701i | 0.384719 | + | 0.251785i | ||||
\(921\) | 0.753470 | + | 26.8047i | 0.0248277 | + | 0.883245i | ||||
\(922\) | −6.96649 | − | 18.1483i | −0.229429 | − | 0.597683i | ||||
\(923\) | −78.8565 | + | 4.13270i | −2.59559 | + | 0.136029i | ||||
\(924\) | −0.836329 | − | 1.74476i | −0.0275132 | − | 0.0573984i | ||||
\(925\) | −19.3568 | − | 38.6658i | −0.636448 | − | 1.27132i | ||||
\(926\) | 33.7870i | 1.11031i | ||||||||
\(927\) | −0.0420582 | − | 0.0934953i | −0.00138137 | − | 0.00307079i | ||||
\(928\) | 1.65892 | − | 10.4740i | 0.0544566 | − | 0.343826i | ||||
\(929\) | −4.37661 | − | 41.6407i | −0.143592 | − | 1.36619i | −0.794608 | − | 0.607122i | \(-0.792324\pi\) |
0.651017 | − | 0.759064i | \(-0.274343\pi\) | |||||||
\(930\) | 1.83768 | + | 3.39774i | 0.0602598 | + | 0.111416i | ||||
\(931\) | −2.68589 | + | 25.5545i | −0.0880265 | + | 0.837516i | ||||
\(932\) | 12.8417 | + | 3.44091i | 0.420642 | + | 0.112711i | ||||
\(933\) | −2.97774 | − | 36.9281i | −0.0974868 | − | 1.20897i | ||||
\(934\) | 12.7854 | − | 11.5120i | 0.418350 | − | 0.376684i | ||||
\(935\) | 5.61917 | + | 6.28543i | 0.183767 | + | 0.205556i | ||||
\(936\) | −17.0798 | + | 45.0108i | −0.558270 | + | 1.47122i | ||||
\(937\) | 51.3677 | − | 26.1732i | 1.67811 | − | 0.855040i | 0.686301 | − | 0.727317i | \(-0.259233\pi\) |
0.991810 | − | 0.127723i | \(-0.0407668\pi\) | |||||||
\(938\) | −0.391876 | + | 7.47744i | −0.0127952 | + | 0.244147i | ||||
\(939\) | 17.1113 | + | 17.9623i | 0.558406 | + | 0.586176i | ||||
\(940\) | 0.897363 | − | 2.72881i | 0.0292688 | − | 0.0890041i | ||||
\(941\) | −8.96309 | − | 42.1680i | −0.292188 | − | 1.37464i | −0.842058 | − | 0.539388i | \(-0.818656\pi\) |
0.549869 | − | 0.835251i | \(-0.314678\pi\) | |||||||
\(942\) | −19.9009 | + | 41.9303i | −0.648405 | + | 1.36616i | ||||
\(943\) | −1.15022 | − | 4.29267i | −0.0374562 | − | 0.139789i | ||||
\(944\) | −20.4965 | − | 14.8916i | −0.667104 | − | 0.484679i | ||||
\(945\) | 2.02776 | + | 5.68610i | 0.0659630 | + | 0.184969i | ||||
\(946\) | 20.3285 | − | 14.7696i | 0.660938 | − | 0.480200i | ||||
\(947\) | −11.9721 | − | 9.69480i | −0.389040 | − | 0.315039i | 0.414768 | − | 0.909927i | \(-0.363863\pi\) |
−0.803808 | + | 0.594889i | \(0.797196\pi\) | |||||||
\(948\) | 8.19050 | − | 4.46749i | 0.266015 | − | 0.145097i | ||||
\(949\) | 15.3953 | − | 8.88849i | 0.499753 | − | 0.288533i | ||||
\(950\) | −22.6267 | − | 1.34689i | −0.734106 | − | 0.0436989i | ||||
\(951\) | −5.41949 | + | 2.59777i | −0.175739 | + | 0.0842383i | ||||
\(952\) | −0.900725 | − | 1.38700i | −0.0291927 | − | 0.0449528i | ||||
\(953\) | 8.02759 | + | 1.27145i | 0.260039 | + | 0.0411862i | 0.285093 | − | 0.958500i | \(-0.407976\pi\) |
−0.0250535 | + | 0.999686i | \(0.507976\pi\) | |||||||
\(954\) | −21.6073 | − | 42.0066i | −0.699561 | − | 1.36001i | ||||
\(955\) | 0.336838 | − | 6.01857i | 0.0108998 | − | 0.194756i | ||||
\(956\) | 2.81611 | + | 6.32509i | 0.0910796 | + | 0.204568i | ||||
\(957\) | 13.5409 | + | 15.7928i | 0.437715 | + | 0.510508i | ||||
\(958\) | 3.73562 | + | 4.61310i | 0.120692 | + | 0.149043i | ||||
\(959\) | −8.46230 | + | 1.79872i | −0.273262 | + | 0.0580836i | ||||
\(960\) | 32.0067 | − | 11.2756i | 1.03301 | − | 0.363919i | ||||
\(961\) | 29.6324 | + | 6.29856i | 0.955884 | + | 0.203179i | ||||
\(962\) | −24.3245 | − | 47.7395i | −0.784253 | − | 1.53918i | ||||
\(963\) | 29.9326 | + | 26.7438i | 0.964564 | + | 0.861806i | ||||
\(964\) | −10.1284 | + | 3.29092i | −0.326214 | + | 0.105993i | ||||
\(965\) | 41.6685 | − | 23.8606i | 1.34136 | − | 0.768099i | ||||
\(966\) | 2.14783 | − | 0.286968i | 0.0691051 | − | 0.00923304i | ||||
\(967\) | 18.1568 | − | 14.7031i | 0.583883 | − | 0.472819i | −0.291286 | − | 0.956636i | \(-0.594083\pi\) |
0.875169 | + | 0.483817i | \(0.160750\pi\) | |||||||
\(968\) | 1.80834 | − | 6.74882i | 0.0581223 | − | 0.216915i | ||||
\(969\) | 6.44726 | − | 2.29705i | 0.207116 | − | 0.0737919i | ||||
\(970\) | 10.2459 | + | 12.7449i | 0.328977 | + | 0.409213i | ||||
\(971\) | −22.7096 | − | 31.2571i | −0.728786 | − | 1.00309i | −0.999186 | − | 0.0403401i | \(-0.987156\pi\) |
0.270400 | − | 0.962748i | \(-0.412844\pi\) | |||||||
\(972\) | 8.04243 | − | 4.46730i | 0.257961 | − | 0.143289i | ||||
\(973\) | −2.70901 | − | 1.38031i | −0.0868469 | − | 0.0442507i | ||||
\(974\) | 3.41782 | − | 5.91985i | 0.109514 | − | 0.189684i | ||||
\(975\) | −10.3215 | − | 43.9937i | −0.330552 | − | 1.40892i | ||||
\(976\) | −1.31608 | − | 2.27951i | −0.0421266 | − | 0.0729655i | ||||
\(977\) | 0.945873 | + | 18.0483i | 0.0302612 | + | 0.577417i | 0.971116 | + | 0.238608i | \(0.0766910\pi\) |
−0.940855 | + | 0.338810i | \(0.889976\pi\) | |||||||
\(978\) | −10.7302 | − | 35.9705i | −0.343114 | − | 1.15021i | ||||
\(979\) | 41.2607 | − | 4.33668i | 1.31870 | − | 0.138601i | ||||
\(980\) | 6.88227 | + | 5.61370i | 0.219846 | + | 0.179323i | ||||
\(981\) | 10.9308 | − | 41.4307i | 0.348993 | − | 1.32278i | ||||
\(982\) | −4.75514 | − | 4.75514i | −0.151743 | − | 0.151743i | ||||
\(983\) | −52.7467 | − | 20.2476i | −1.68236 | − | 0.645797i | −0.685731 | − | 0.727855i | \(-0.740517\pi\) |
−0.996628 | + | 0.0820584i | \(0.973851\pi\) | |||||||
\(984\) | −10.7935 | − | 4.44652i | −0.344084 | − | 0.141750i | ||||
\(985\) | −29.3750 | − | 40.7344i | −0.935965 | − | 1.29791i | ||||
\(986\) | 3.01084 | + | 2.71097i | 0.0958846 | + | 0.0863349i | ||||
\(987\) | −0.753116 | − | 1.80834i | −0.0239719 | − | 0.0575602i | ||||
\(988\) | 11.7412 | + | 0.615330i | 0.373537 | + | 0.0195763i | ||||
\(989\) | −3.64030 | − | 11.2037i | −0.115755 | − | 0.356257i | ||||
\(990\) | −10.3908 | + | 27.0929i | −0.330241 | + | 0.861069i | ||||
\(991\) | 3.60066 | − | 11.0817i | 0.114379 | − | 0.352021i | −0.877438 | − | 0.479690i | \(-0.840749\pi\) |
0.991817 | + | 0.127668i | \(0.0407493\pi\) | |||||||
\(992\) | −0.968278 | + | 2.52245i | −0.0307428 | + | 0.0800878i | ||||
\(993\) | 25.0203 | + | 8.80607i | 0.793996 | + | 0.279452i | ||||
\(994\) | 9.28494 | + | 0.975887i | 0.294501 | + | 0.0309533i | ||||
\(995\) | 32.6529 | + | 32.8855i | 1.03517 | + | 1.04254i | ||||
\(996\) | −5.58824 | + | 0.157083i | −0.177070 | + | 0.00497737i | ||||
\(997\) | −12.4171 | + | 15.3338i | −0.393253 | + | 0.485627i | −0.934866 | − | 0.355001i | \(-0.884480\pi\) |
0.541613 | + | 0.840628i | \(0.317814\pi\) | |||||||
\(998\) | 4.85370 | − | 9.52593i | 0.153641 | − | 0.301538i | ||||
\(999\) | −10.2381 | + | 43.7548i | −0.323919 | + | 1.38434i |
(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 | 225.2.w.a.92.20 | ✓ | 448 | |
3.2 | odd | 2 | 675.2.bd.a.467.9 | 448 | |||
9.4 | even | 3 | 675.2.bd.a.17.20 | 448 | |||
9.5 | odd | 6 | inner | 225.2.w.a.167.9 | yes | 448 | |
25.3 | odd | 20 | inner | 225.2.w.a.128.9 | yes | 448 | |
75.53 | even | 20 | 675.2.bd.a.278.20 | 448 | |||
225.103 | odd | 60 | 675.2.bd.a.503.9 | 448 | |||
225.203 | even | 60 | inner | 225.2.w.a.203.20 | yes | 448 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.w.a.92.20 | ✓ | 448 | 1.1 | even | 1 | trivial | |
225.2.w.a.128.9 | yes | 448 | 25.3 | odd | 20 | inner | |
225.2.w.a.167.9 | yes | 448 | 9.5 | odd | 6 | inner | |
225.2.w.a.203.20 | yes | 448 | 225.203 | even | 60 | inner | |
675.2.bd.a.17.20 | 448 | 9.4 | even | 3 | |||
675.2.bd.a.278.20 | 448 | 75.53 | even | 20 | |||
675.2.bd.a.467.9 | 448 | 3.2 | odd | 2 | |||
675.2.bd.a.503.9 | 448 | 225.103 | odd | 60 |