Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(20,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.be (of order \(18\), degree \(6\), 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 20.10 | ||
Character | \(\chi\) | \(=\) | 189.20 |
Dual form | 189.2.be.a.104.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.234777 | − | 0.645045i | −0.166012 | − | 0.456116i | 0.828592 | − | 0.559852i | \(-0.189142\pi\) |
−0.994605 | + | 0.103737i | \(0.966920\pi\) | |||||||
\(3\) | 0.440723 | + | 1.67504i | 0.254451 | + | 0.967086i | ||||
\(4\) | 1.17113 | − | 0.982692i | 0.585563 | − | 0.491346i | ||||
\(5\) | 0.231854 | + | 1.31491i | 0.103688 | + | 0.588045i | 0.991736 | + | 0.128294i | \(0.0409502\pi\) |
−0.888048 | + | 0.459751i | \(0.847939\pi\) | |||||||
\(6\) | 0.977005 | − | 0.677547i | 0.398861 | − | 0.276607i | ||||
\(7\) | 1.38106 | + | 2.25670i | 0.521990 | + | 0.852951i | ||||
\(8\) | −2.09779 | − | 1.21116i | −0.741680 | − | 0.428209i | ||||
\(9\) | −2.61153 | + | 1.47646i | −0.870509 | + | 0.492152i | ||||
\(10\) | 0.793741 | − | 0.458267i | 0.251003 | − | 0.144917i | ||||
\(11\) | 0.216508 | + | 0.0381762i | 0.0652796 | + | 0.0115106i | 0.206193 | − | 0.978511i | \(-0.433893\pi\) |
−0.140913 | + | 0.990022i | \(0.545004\pi\) | |||||||
\(12\) | 2.16219 | + | 1.52859i | 0.624171 | + | 0.441266i | ||||
\(13\) | 0.673991 | − | 1.85178i | 0.186932 | − | 0.513590i | −0.810458 | − | 0.585797i | \(-0.800782\pi\) |
0.997390 | + | 0.0722062i | \(0.0230040\pi\) | |||||||
\(14\) | 1.13143 | − | 1.42066i | 0.302387 | − | 0.379689i | ||||
\(15\) | −2.10034 | + | 0.967875i | −0.542307 | + | 0.249904i | ||||
\(16\) | 0.242207 | − | 1.37362i | 0.0605517 | − | 0.343406i | ||||
\(17\) | −0.469803 | − | 0.813723i | −0.113944 | − | 0.197357i | 0.803413 | − | 0.595422i | \(-0.203015\pi\) |
−0.917357 | + | 0.398065i | \(0.869682\pi\) | |||||||
\(18\) | 1.56551 | + | 1.33791i | 0.368994 | + | 0.315349i | ||||
\(19\) | 3.04150 | + | 1.75601i | 0.697768 | + | 0.402857i | 0.806516 | − | 0.591213i | \(-0.201351\pi\) |
−0.108747 | + | 0.994069i | \(0.534684\pi\) | |||||||
\(20\) | 1.56368 | + | 1.31208i | 0.349650 | + | 0.293391i | ||||
\(21\) | −3.17140 | + | 3.30790i | −0.692056 | + | 0.721844i | ||||
\(22\) | −0.0262057 | − | 0.148620i | −0.00558708 | − | 0.0316859i | ||||
\(23\) | 1.17579 | + | 1.40126i | 0.245170 | + | 0.292182i | 0.874570 | − | 0.484899i | \(-0.161144\pi\) |
−0.629400 | + | 0.777082i | \(0.716699\pi\) | |||||||
\(24\) | 1.10420 | − | 4.04766i | 0.225393 | − | 0.826226i | ||||
\(25\) | 3.02323 | − | 1.10037i | 0.604647 | − | 0.220073i | ||||
\(26\) | −1.35272 | −0.265289 | ||||||||
\(27\) | −3.62409 | − | 3.72371i | −0.697456 | − | 0.716628i | ||||
\(28\) | 3.83503 | + | 1.28572i | 0.724753 | + | 0.242979i | ||||
\(29\) | −1.33239 | − | 3.66070i | −0.247418 | − | 0.679776i | −0.999779 | − | 0.0210245i | \(-0.993307\pi\) |
0.752361 | − | 0.658751i | \(-0.228915\pi\) | |||||||
\(30\) | 1.11744 | + | 1.12758i | 0.204015 | + | 0.205867i | ||||
\(31\) | −5.95195 | − | 7.09326i | −1.06900 | − | 1.27399i | −0.960017 | − | 0.279943i | \(-0.909684\pi\) |
−0.108985 | − | 0.994043i | \(-0.534760\pi\) | |||||||
\(32\) | −5.71394 | + | 1.00752i | −1.01009 | + | 0.178106i | ||||
\(33\) | 0.0314733 | + | 0.379485i | 0.00547879 | + | 0.0660598i | ||||
\(34\) | −0.414589 | + | 0.494088i | −0.0711014 | + | 0.0847353i | ||||
\(35\) | −2.64715 | + | 2.33919i | −0.447450 | + | 0.395395i | ||||
\(36\) | −1.60753 | + | 4.29544i | −0.267921 | + | 0.715907i | ||||
\(37\) | −1.56504 | − | 2.71072i | −0.257290 | − | 0.445640i | 0.708225 | − | 0.705987i | \(-0.249496\pi\) |
−0.965515 | + | 0.260347i | \(0.916163\pi\) | |||||||
\(38\) | 0.418631 | − | 2.37418i | 0.0679110 | − | 0.385142i | ||||
\(39\) | 3.39885 | + | 0.312844i | 0.544251 | + | 0.0500951i | ||||
\(40\) | 1.10618 | − | 3.03921i | 0.174903 | − | 0.480542i | ||||
\(41\) | −10.8664 | − | 3.95506i | −1.69705 | − | 0.617676i | −0.701567 | − | 0.712603i | \(-0.747516\pi\) |
−0.995484 | + | 0.0949267i | \(0.969738\pi\) | |||||||
\(42\) | 2.87832 | + | 1.26907i | 0.444134 | + | 0.195822i | ||||
\(43\) | −0.261843 | + | 1.48498i | −0.0399307 | + | 0.226458i | −0.998242 | − | 0.0592676i | \(-0.981123\pi\) |
0.958311 | + | 0.285726i | \(0.0922346\pi\) | |||||||
\(44\) | 0.291074 | − | 0.168051i | 0.0438810 | − | 0.0253347i | ||||
\(45\) | −2.54690 | − | 3.09160i | −0.379670 | − | 0.460868i | ||||
\(46\) | 0.627824 | − | 1.08742i | 0.0925676 | − | 0.160332i | ||||
\(47\) | 5.18484 | + | 4.35059i | 0.756286 | + | 0.634599i | 0.937157 | − | 0.348907i | \(-0.113447\pi\) |
−0.180871 | + | 0.983507i | \(0.557892\pi\) | |||||||
\(48\) | 2.40762 | − | 0.199681i | 0.347510 | − | 0.0288214i | ||||
\(49\) | −3.18536 | + | 6.23325i | −0.455052 | + | 0.890465i | ||||
\(50\) | −1.41957 | − | 1.69178i | −0.200758 | − | 0.239254i | ||||
\(51\) | 1.15597 | − | 1.14557i | 0.161868 | − | 0.160411i | ||||
\(52\) | −1.03040 | − | 2.83099i | −0.142890 | − | 0.392588i | ||||
\(53\) | 3.77077i | 0.517954i | 0.965883 | + | 0.258977i | \(0.0833855\pi\) | ||||
−0.965883 | + | 0.258977i | \(0.916615\pi\) | |||||||
\(54\) | −1.55111 | + | 3.21194i | −0.211079 | + | 0.437090i | ||||
\(55\) | 0.293540i | 0.0395809i | ||||||||
\(56\) | −0.163947 | − | 6.40675i | −0.0219083 | − | 0.856138i | ||||
\(57\) | −1.60093 | + | 5.86856i | −0.212049 | + | 0.777309i | ||||
\(58\) | −2.04850 | + | 1.71890i | −0.268982 | + | 0.225703i | ||||
\(59\) | −1.72130 | − | 9.76195i | −0.224094 | − | 1.27090i | −0.864410 | − | 0.502787i | \(-0.832308\pi\) |
0.640317 | − | 0.768111i | \(-0.278803\pi\) | |||||||
\(60\) | −1.50865 | + | 3.19750i | −0.194765 | + | 0.412795i | ||||
\(61\) | −6.04827 | + | 7.20805i | −0.774402 | + | 0.922896i | −0.998666 | − | 0.0516319i | \(-0.983558\pi\) |
0.224264 | + | 0.974528i | \(0.428002\pi\) | |||||||
\(62\) | −3.17809 | + | 5.50461i | −0.403617 | + | 0.699086i | ||||
\(63\) | −6.93858 | − | 3.85435i | −0.874179 | − | 0.485603i | ||||
\(64\) | 0.596586 | + | 1.03332i | 0.0745733 | + | 0.129165i | ||||
\(65\) | 2.59119 | + | 0.456896i | 0.321397 | + | 0.0566710i | ||||
\(66\) | 0.237395 | − | 0.109396i | 0.0292214 | − | 0.0134657i | ||||
\(67\) | −6.36714 | − | 2.31745i | −0.777871 | − | 0.283122i | −0.0775861 | − | 0.996986i | \(-0.524721\pi\) |
−0.700284 | + | 0.713864i | \(0.746943\pi\) | |||||||
\(68\) | −1.34984 | − | 0.491301i | −0.163692 | − | 0.0595790i | ||||
\(69\) | −1.82897 | + | 2.58707i | −0.220182 | + | 0.311447i | ||||
\(70\) | 2.13037 | + | 1.15834i | 0.254628 | + | 0.138448i | ||||
\(71\) | 11.8706 | − | 6.85351i | 1.40879 | − | 0.813362i | 0.413514 | − | 0.910498i | \(-0.364301\pi\) |
0.995271 | + | 0.0971354i | \(0.0309680\pi\) | |||||||
\(72\) | 7.26665 | + | 0.0656782i | 0.856383 | + | 0.00774025i | ||||
\(73\) | 7.68223 | + | 4.43534i | 0.899137 | + | 0.519117i | 0.876920 | − | 0.480636i | \(-0.159594\pi\) |
0.0222170 | + | 0.999753i | \(0.492928\pi\) | |||||||
\(74\) | −1.38110 | + | 1.64593i | −0.160550 | + | 0.191336i | ||||
\(75\) | 3.17557 | + | 4.57908i | 0.366683 | + | 0.528747i | ||||
\(76\) | 5.28760 | − | 0.932347i | 0.606529 | − | 0.106948i | ||||
\(77\) | 0.212858 | + | 0.541316i | 0.0242574 | + | 0.0616887i | ||||
\(78\) | −0.596173 | − | 2.26586i | −0.0675033 | − | 0.256558i | ||||
\(79\) | −7.91776 | + | 2.88183i | −0.890818 | + | 0.324231i | −0.746567 | − | 0.665310i | \(-0.768299\pi\) |
−0.144251 | + | 0.989541i | \(0.546077\pi\) | |||||||
\(80\) | 1.86235 | 0.208217 | ||||||||
\(81\) | 4.64015 | − | 7.71162i | 0.515572 | − | 0.856846i | ||||
\(82\) | 7.93789i | 0.876594i | ||||||||
\(83\) | 16.1714 | − | 5.88589i | 1.77504 | − | 0.646061i | 0.775139 | − | 0.631791i | \(-0.217680\pi\) |
0.999898 | − | 0.0142697i | \(-0.00454236\pi\) | |||||||
\(84\) | −0.463457 | + | 6.99048i | −0.0505673 | + | 0.762724i | ||||
\(85\) | 0.961047 | − | 0.806414i | 0.104240 | − | 0.0874679i | ||||
\(86\) | 1.01936 | − | 0.179740i | 0.109920 | − | 0.0193819i | ||||
\(87\) | 5.54462 | − | 3.84516i | 0.594445 | − | 0.412244i | ||||
\(88\) | −0.407950 | − | 0.342311i | −0.0434876 | − | 0.0364904i | ||||
\(89\) | −3.46240 | + | 5.99705i | −0.367014 | + | 0.635686i | −0.989097 | − | 0.147265i | \(-0.952953\pi\) |
0.622084 | + | 0.782951i | \(0.286286\pi\) | |||||||
\(90\) | −1.39627 | + | 2.36870i | −0.147179 | + | 0.249683i | ||||
\(91\) | 5.10972 | − | 1.03641i | 0.535644 | − | 0.108646i | ||||
\(92\) | 2.75401 | + | 0.485606i | 0.287125 | + | 0.0506279i | ||||
\(93\) | 9.25834 | − | 13.0959i | 0.960045 | − | 1.35798i | ||||
\(94\) | 1.58905 | − | 4.36587i | 0.163898 | − | 0.450305i | ||||
\(95\) | −1.60381 | + | 4.40644i | −0.164548 | + | 0.452091i | ||||
\(96\) | −4.20591 | − | 9.12705i | −0.429264 | − | 0.931526i | ||||
\(97\) | −4.42872 | − | 0.780904i | −0.449669 | − | 0.0792887i | −0.0557722 | − | 0.998444i | \(-0.517762\pi\) |
−0.393897 | + | 0.919155i | \(0.628873\pi\) | |||||||
\(98\) | 4.76858 | + | 0.591277i | 0.481699 | + | 0.0597280i | ||||
\(99\) | −0.621782 | + | 0.219967i | −0.0624914 | + | 0.0221075i | ||||
\(100\) | 2.45927 | − | 4.25957i | 0.245927 | − | 0.425957i | ||||
\(101\) | 0.750944 | + | 0.630116i | 0.0747217 | + | 0.0626989i | 0.679384 | − | 0.733783i | \(-0.262247\pi\) |
−0.604662 | + | 0.796482i | \(0.706692\pi\) | |||||||
\(102\) | −1.01034 | − | 0.476698i | −0.100038 | − | 0.0472001i | ||||
\(103\) | 13.1659 | − | 2.32150i | 1.29727 | − | 0.228744i | 0.517974 | − | 0.855396i | \(-0.326686\pi\) |
0.779299 | + | 0.626652i | \(0.215575\pi\) | |||||||
\(104\) | −3.65668 | + | 3.06832i | −0.358567 | + | 0.300874i | ||||
\(105\) | −5.08490 | − | 3.40315i | −0.496235 | − | 0.332113i | ||||
\(106\) | 2.43231 | − | 0.885289i | 0.236247 | − | 0.0859869i | ||||
\(107\) | 18.7220i | 1.80992i | 0.425496 | + | 0.904960i | \(0.360100\pi\) | ||||
−0.425496 | + | 0.904960i | \(0.639900\pi\) | |||||||
\(108\) | −7.90352 | − | 0.799572i | −0.760517 | − | 0.0769389i | ||||
\(109\) | −5.24050 | −0.501949 | −0.250975 | − | 0.967994i | \(-0.580751\pi\) | ||||
−0.250975 | + | 0.967994i | \(0.580751\pi\) | |||||||
\(110\) | 0.189346 | − | 0.0689164i | 0.0180534 | − | 0.00657092i | ||||
\(111\) | 3.85083 | − | 3.81618i | 0.365504 | − | 0.362216i | ||||
\(112\) | 3.43435 | − | 1.35046i | 0.324516 | − | 0.127607i | ||||
\(113\) | 8.07557 | − | 1.42394i | 0.759686 | − | 0.133953i | 0.219631 | − | 0.975583i | \(-0.429515\pi\) |
0.540055 | + | 0.841630i | \(0.318404\pi\) | |||||||
\(114\) | 4.16134 | − | 0.345129i | 0.389746 | − | 0.0323243i | ||||
\(115\) | −1.56991 | + | 1.87095i | −0.146395 | + | 0.174467i | ||||
\(116\) | −5.15774 | − | 2.97782i | −0.478884 | − | 0.276484i | ||||
\(117\) | 0.973922 | + | 5.83108i | 0.0900391 | + | 0.539084i | ||||
\(118\) | −5.89278 | + | 3.40220i | −0.542474 | + | 0.313198i | ||||
\(119\) | 1.18750 | − | 2.18400i | 0.108858 | − | 0.200207i | ||||
\(120\) | 5.57832 | + | 0.513452i | 0.509229 | + | 0.0468715i | ||||
\(121\) | −10.2912 | − | 3.74569i | −0.935564 | − | 0.340517i | ||||
\(122\) | 6.06951 | + | 2.20912i | 0.549508 | + | 0.200004i | ||||
\(123\) | 1.83580 | − | 19.9448i | 0.165529 | − | 1.79836i | ||||
\(124\) | −13.9410 | − | 2.45817i | −1.25194 | − | 0.220750i | ||||
\(125\) | 5.48582 | + | 9.50171i | 0.490666 | + | 0.849859i | ||||
\(126\) | −0.857210 | + | 5.38061i | −0.0763663 | + | 0.479343i | ||||
\(127\) | −0.479905 | + | 0.831220i | −0.0425847 | + | 0.0737588i | −0.886532 | − | 0.462667i | \(-0.846893\pi\) |
0.843947 | + | 0.536426i | \(0.180226\pi\) | |||||||
\(128\) | −6.93255 | + | 8.26189i | −0.612757 | + | 0.730255i | ||||
\(129\) | −2.60281 | + | 0.215869i | −0.229165 | + | 0.0190062i | ||||
\(130\) | −0.313633 | − | 1.77870i | −0.0275074 | − | 0.156002i | ||||
\(131\) | 3.74843 | − | 3.14531i | 0.327502 | − | 0.274807i | −0.464179 | − | 0.885741i | \(-0.653651\pi\) |
0.791681 | + | 0.610935i | \(0.209206\pi\) | |||||||
\(132\) | 0.409776 | + | 0.413496i | 0.0356664 | + | 0.0359902i | ||||
\(133\) | 0.237700 | + | 9.28890i | 0.0206112 | + | 0.805450i | ||||
\(134\) | 4.65118i | 0.401801i | ||||||||
\(135\) | 4.05608 | − | 5.62870i | 0.349092 | − | 0.484442i | ||||
\(136\) | 2.27602i | 0.195167i | ||||||||
\(137\) | 3.97977 | + | 10.9343i | 0.340015 | + | 0.934183i | 0.985389 | + | 0.170317i | \(0.0544791\pi\) |
−0.645375 | + | 0.763866i | \(0.723299\pi\) | |||||||
\(138\) | 2.09818 | + | 0.572379i | 0.178609 | + | 0.0487242i | ||||
\(139\) | 5.90509 | + | 7.03742i | 0.500864 | + | 0.596906i | 0.955946 | − | 0.293544i | \(-0.0948346\pi\) |
−0.455082 | + | 0.890449i | \(0.650390\pi\) | |||||||
\(140\) | −0.801444 | + | 5.34082i | −0.0677344 | + | 0.451381i | ||||
\(141\) | −5.00235 | + | 10.6022i | −0.421274 | + | 0.892868i | ||||
\(142\) | −7.20778 | − | 6.04804i | −0.604863 | − | 0.507540i | ||||
\(143\) | 0.216618 | − | 0.375194i | 0.0181145 | − | 0.0313753i | ||||
\(144\) | 1.39557 | + | 3.94486i | 0.116297 | + | 0.328739i | ||||
\(145\) | 4.50458 | − | 2.60072i | 0.374085 | − | 0.215978i | ||||
\(146\) | 1.05738 | − | 5.99670i | 0.0875094 | − | 0.496290i | ||||
\(147\) | −11.8448 | − | 2.58848i | −0.976944 | − | 0.213494i | ||||
\(148\) | −4.49666 | − | 1.63665i | −0.369623 | − | 0.134532i | ||||
\(149\) | −5.20678 | + | 14.3055i | −0.426556 | + | 1.17195i | 0.521333 | + | 0.853353i | \(0.325435\pi\) |
−0.947889 | + | 0.318600i | \(0.896787\pi\) | |||||||
\(150\) | 2.20816 | − | 3.12345i | 0.180296 | − | 0.255028i | ||||
\(151\) | −1.95736 | + | 11.1008i | −0.159288 | + | 0.903366i | 0.795472 | + | 0.605990i | \(0.207223\pi\) |
−0.954760 | + | 0.297376i | \(0.903888\pi\) | |||||||
\(152\) | −4.25361 | − | 7.36748i | −0.345014 | − | 0.597581i | ||||
\(153\) | 2.42833 | + | 1.43142i | 0.196319 | + | 0.115723i | ||||
\(154\) | 0.299199 | − | 0.264391i | 0.0241101 | − | 0.0213053i | ||||
\(155\) | 7.94701 | − | 9.47087i | 0.638319 | − | 0.760719i | ||||
\(156\) | 4.28791 | − | 2.97364i | 0.343307 | − | 0.238082i | ||||
\(157\) | −12.3894 | + | 2.18459i | −0.988784 | + | 0.174349i | −0.644573 | − | 0.764543i | \(-0.722965\pi\) |
−0.344211 | + | 0.938892i | \(0.611854\pi\) | |||||||
\(158\) | 3.71782 | + | 4.43072i | 0.295774 | + | 0.352489i | ||||
\(159\) | −6.31619 | + | 1.66186i | −0.500906 | + | 0.131794i | ||||
\(160\) | −2.64960 | − | 7.27972i | −0.209469 | − | 0.575512i | ||||
\(161\) | −1.53837 | + | 4.58863i | −0.121241 | + | 0.361635i | ||||
\(162\) | −6.06374 | − | 1.18259i | −0.476412 | − | 0.0929131i | ||||
\(163\) | −15.4955 | −1.21370 | −0.606850 | − | 0.794816i | \(-0.707567\pi\) | ||||
−0.606850 | + | 0.794816i | \(0.707567\pi\) | |||||||
\(164\) | −16.6126 | + | 6.04648i | −1.29722 | + | 0.472151i | ||||
\(165\) | −0.491691 | + | 0.129370i | −0.0382781 | + | 0.0100714i | ||||
\(166\) | −7.59333 | − | 9.04938i | −0.589357 | − | 0.702368i | ||||
\(167\) | −3.86013 | − | 21.8919i | −0.298706 | − | 1.69405i | −0.651746 | − | 0.758437i | \(-0.725963\pi\) |
0.353040 | − | 0.935608i | \(-0.385148\pi\) | |||||||
\(168\) | 10.6593 | − | 3.09822i | 0.822384 | − | 0.239033i | ||||
\(169\) | 6.98377 | + | 5.86008i | 0.537213 | + | 0.450775i | ||||
\(170\) | −0.745805 | − | 0.430591i | −0.0572006 | − | 0.0330248i | ||||
\(171\) | −10.5356 | − | 0.0952243i | −0.805681 | − | 0.00728199i | ||||
\(172\) | 1.15263 | + | 1.99642i | 0.0878873 | + | 0.152225i | ||||
\(173\) | 0.814058 | − | 4.61675i | 0.0618917 | − | 0.351005i | −0.938098 | − | 0.346371i | \(-0.887414\pi\) |
0.999989 | − | 0.00463414i | \(-0.00147510\pi\) | |||||||
\(174\) | −3.78205 | − | 2.67377i | −0.286716 | − | 0.202698i | ||||
\(175\) | 6.65845 | + | 5.30285i | 0.503332 | + | 0.400858i | ||||
\(176\) | 0.104879 | − | 0.288154i | 0.00790558 | − | 0.0217204i | ||||
\(177\) | 15.5931 | − | 7.18556i | 1.17205 | − | 0.540099i | ||||
\(178\) | 4.68126 | + | 0.825432i | 0.350875 | + | 0.0618688i | ||||
\(179\) | 13.7669 | − | 7.94833i | 1.02899 | − | 0.594086i | 0.112293 | − | 0.993675i | \(-0.464180\pi\) |
0.916694 | + | 0.399589i | \(0.130847\pi\) | |||||||
\(180\) | −6.02083 | − | 1.11783i | −0.448766 | − | 0.0833185i | ||||
\(181\) | −4.81888 | − | 2.78218i | −0.358185 | − | 0.206798i | 0.310100 | − | 0.950704i | \(-0.399638\pi\) |
−0.668284 | + | 0.743906i | \(0.732971\pi\) | |||||||
\(182\) | −1.86818 | − | 3.05267i | −0.138479 | − | 0.226279i | ||||
\(183\) | −14.7394 | − | 6.95436i | −1.08957 | − | 0.514081i | ||||
\(184\) | −0.769423 | − | 4.36361i | −0.0567226 | − | 0.321690i | ||||
\(185\) | 3.20150 | − | 2.68637i | 0.235379 | − | 0.197506i | ||||
\(186\) | −10.6211 | − | 2.89742i | −0.778777 | − | 0.212449i | ||||
\(187\) | −0.0706513 | − | 0.194113i | −0.00516653 | − | 0.0141949i | ||||
\(188\) | 10.3474 | 0.754661 | ||||||||
\(189\) | 3.39821 | − | 13.3211i | 0.247183 | − | 0.968969i | ||||
\(190\) | 3.21889 | 0.233523 | ||||||||
\(191\) | 0.626662 | + | 1.72174i | 0.0453437 | + | 0.124581i | 0.960298 | − | 0.278978i | \(-0.0899955\pi\) |
−0.914954 | + | 0.403558i | \(0.867773\pi\) | |||||||
\(192\) | −1.46792 | + | 1.45471i | −0.105938 | + | 0.104985i | ||||
\(193\) | 0.0889424 | − | 0.0746315i | 0.00640221 | − | 0.00537209i | −0.639581 | − | 0.768724i | \(-0.720892\pi\) |
0.645983 | + | 0.763352i | \(0.276448\pi\) | |||||||
\(194\) | 0.536045 | + | 3.04006i | 0.0384858 | + | 0.218264i | ||||
\(195\) | 0.376675 | + | 4.54171i | 0.0269742 | + | 0.325238i | ||||
\(196\) | 2.39490 | + | 10.4302i | 0.171065 | + | 0.745011i | ||||
\(197\) | −13.5481 | − | 7.82201i | −0.965264 | − | 0.557295i | −0.0674749 | − | 0.997721i | \(-0.521494\pi\) |
−0.897789 | + | 0.440425i | \(0.854828\pi\) | |||||||
\(198\) | 0.287868 | + | 0.349434i | 0.0204579 | + | 0.0248332i | ||||
\(199\) | 8.33355 | − | 4.81138i | 0.590750 | − | 0.341069i | −0.174644 | − | 0.984632i | \(-0.555878\pi\) |
0.765394 | + | 0.643562i | \(0.222544\pi\) | |||||||
\(200\) | −7.67481 | − | 1.35328i | −0.542691 | − | 0.0956911i | ||||
\(201\) | 1.07568 | − | 11.6866i | 0.0758727 | − | 0.824308i | ||||
\(202\) | 0.230149 | − | 0.632329i | 0.0161932 | − | 0.0444905i | ||||
\(203\) | 6.42100 | − | 8.06244i | 0.450666 | − | 0.565872i | ||||
\(204\) | 0.228045 | − | 2.47756i | 0.0159663 | − | 0.173464i | ||||
\(205\) | 2.68112 | − | 15.2054i | 0.187257 | − | 1.06199i | ||||
\(206\) | −4.58852 | − | 7.94755i | −0.319697 | − | 0.553732i | ||||
\(207\) | −5.13952 | − | 1.92341i | −0.357221 | − | 0.133686i | ||||
\(208\) | −2.38040 | − | 1.37432i | −0.165051 | − | 0.0952922i | ||||
\(209\) | 0.591471 | + | 0.496303i | 0.0409129 | + | 0.0343300i | ||||
\(210\) | −1.00137 | + | 4.07897i | −0.0691009 | + | 0.281476i | ||||
\(211\) | 2.41262 | + | 13.6827i | 0.166092 | + | 0.941954i | 0.947932 | + | 0.318474i | \(0.103170\pi\) |
−0.781840 | + | 0.623479i | \(0.785719\pi\) | |||||||
\(212\) | 3.70550 | + | 4.41604i | 0.254495 | + | 0.303295i | ||||
\(213\) | 16.7116 | + | 16.8633i | 1.14506 | + | 1.15545i | ||||
\(214\) | 12.0765 | − | 4.39549i | 0.825533 | − | 0.300469i | ||||
\(215\) | −2.01333 | −0.137308 | ||||||||
\(216\) | 3.09256 | + | 12.2009i | 0.210422 | + | 0.830165i | ||||
\(217\) | 7.78735 | − | 23.2279i | 0.528640 | − | 1.57682i | ||||
\(218\) | 1.23035 | + | 3.38036i | 0.0833298 | + | 0.228947i | ||||
\(219\) | −4.04364 | + | 14.8228i | −0.273244 | + | 1.00163i | ||||
\(220\) | 0.288459 | + | 0.343772i | 0.0194479 | + | 0.0231771i | ||||
\(221\) | −1.82348 | + | 0.321528i | −0.122660 | + | 0.0216283i | ||||
\(222\) | −3.36569 | − | 1.58800i | −0.225890 | − | 0.106580i | ||||
\(223\) | 11.6645 | − | 13.9012i | 0.781115 | − | 0.930896i | −0.217869 | − | 0.975978i | \(-0.569910\pi\) |
0.998983 | + | 0.0450820i | \(0.0143549\pi\) | |||||||
\(224\) | −10.1650 | − | 11.5032i | −0.679175 | − | 0.768590i | ||||
\(225\) | −6.27061 | + | 7.33731i | −0.418041 | + | 0.489154i | ||||
\(226\) | −2.81446 | − | 4.87479i | −0.187215 | − | 0.324267i | ||||
\(227\) | −4.49086 | + | 25.4689i | −0.298069 | + | 1.69043i | 0.356393 | + | 0.934336i | \(0.384006\pi\) |
−0.654462 | + | 0.756095i | \(0.727105\pi\) | |||||||
\(228\) | 3.89209 | + | 8.44604i | 0.257760 | + | 0.559353i | ||||
\(229\) | −3.70816 | + | 10.1881i | −0.245042 | + | 0.673247i | 0.754809 | + | 0.655945i | \(0.227730\pi\) |
−0.999850 | + | 0.0173016i | \(0.994492\pi\) | |||||||
\(230\) | 1.57543 | + | 0.573409i | 0.103881 | + | 0.0378094i | ||||
\(231\) | −0.812916 | + | 0.595116i | −0.0534859 | + | 0.0391557i | ||||
\(232\) | −1.63863 | + | 9.29311i | −0.107581 | + | 0.610122i | ||||
\(233\) | 2.36196 | − | 1.36368i | 0.154737 | − | 0.0893375i | −0.420632 | − | 0.907231i | \(-0.638192\pi\) |
0.575369 | + | 0.817894i | \(0.304858\pi\) | |||||||
\(234\) | 3.53266 | − | 1.99723i | 0.230937 | − | 0.130563i | ||||
\(235\) | −4.51851 | + | 7.82629i | −0.294755 | + | 0.510531i | ||||
\(236\) | −11.6088 | − | 9.74098i | −0.755672 | − | 0.634084i | ||||
\(237\) | −8.31672 | − | 11.9925i | −0.540229 | − | 0.778996i | ||||
\(238\) | −1.68758 | − | 0.253238i | −0.109389 | − | 0.0164150i | ||||
\(239\) | −19.4562 | − | 23.1870i | −1.25852 | − | 1.49984i | −0.785599 | − | 0.618736i | \(-0.787645\pi\) |
−0.472919 | − | 0.881106i | \(-0.656800\pi\) | |||||||
\(240\) | 0.820779 | + | 3.11951i | 0.0529810 | + | 0.201363i | ||||
\(241\) | 8.39131 | + | 23.0549i | 0.540531 | + | 1.48510i | 0.846150 | + | 0.532944i | \(0.178914\pi\) |
−0.305619 | + | 0.952154i | \(0.598863\pi\) | |||||||
\(242\) | 7.51769i | 0.483255i | ||||||||
\(243\) | 14.9623 | + | 4.37375i | 0.959832 | + | 0.280576i | ||||
\(244\) | 14.3851i | 0.920914i | ||||||||
\(245\) | −8.93470 | − | 2.74326i | −0.570817 | − | 0.175260i | ||||
\(246\) | −13.2963 | + | 3.49841i | −0.847741 | + | 0.223050i | ||||
\(247\) | 5.30169 | − | 4.44864i | 0.337338 | − | 0.283060i | ||||
\(248\) | 3.89487 | + | 22.0889i | 0.247324 | + | 1.40265i | ||||
\(249\) | 16.9862 | + | 24.4936i | 1.07646 | + | 1.55222i | ||||
\(250\) | 4.84109 | − | 5.76938i | 0.306177 | − | 0.364888i | ||||
\(251\) | −12.0630 | + | 20.8937i | −0.761409 | + | 1.31880i | 0.180715 | + | 0.983536i | \(0.442159\pi\) |
−0.942124 | + | 0.335264i | \(0.891174\pi\) | |||||||
\(252\) | −11.9136 | + | 2.30455i | −0.750486 | + | 0.145173i | ||||
\(253\) | 0.201074 | + | 0.348271i | 0.0126414 | + | 0.0218956i | ||||
\(254\) | 0.648845 | + | 0.114409i | 0.0407121 | + | 0.00717865i | ||||
\(255\) | 1.77433 | + | 1.25439i | 0.111113 | + | 0.0785528i | ||||
\(256\) | 9.19933 | + | 3.34828i | 0.574958 | + | 0.209268i | ||||
\(257\) | 11.0337 | + | 4.01595i | 0.688265 | + | 0.250508i | 0.662392 | − | 0.749157i | \(-0.269541\pi\) |
0.0258727 | + | 0.999665i | \(0.491764\pi\) | |||||||
\(258\) | 0.750325 | + | 1.62825i | 0.0467132 | + | 0.101370i | ||||
\(259\) | 3.95588 | − | 7.27548i | 0.245806 | − | 0.452076i | ||||
\(260\) | 3.48359 | − | 2.01125i | 0.216043 | − | 0.124733i | ||||
\(261\) | 8.88444 | + | 7.59282i | 0.549933 | + | 0.469983i | ||||
\(262\) | −2.90891 | − | 1.67946i | −0.179713 | − | 0.103757i | ||||
\(263\) | 12.7126 | − | 15.1503i | 0.783891 | − | 0.934205i | −0.215211 | − | 0.976568i | \(-0.569044\pi\) |
0.999102 | + | 0.0423623i | \(0.0134884\pi\) | |||||||
\(264\) | 0.393592 | − | 0.834197i | 0.0242239 | − | 0.0513413i | ||||
\(265\) | −4.95821 | + | 0.874267i | −0.304581 | + | 0.0537058i | ||||
\(266\) | 5.93595 | − | 2.33415i | 0.363956 | − | 0.143116i | ||||
\(267\) | −11.5713 | − | 3.15663i | −0.708150 | − | 0.193182i | ||||
\(268\) | −9.73407 | + | 3.54291i | −0.594603 | + | 0.216418i | ||||
\(269\) | 17.1269 | 1.04424 | 0.522122 | − | 0.852871i | \(-0.325141\pi\) | ||||
0.522122 | + | 0.852871i | \(0.325141\pi\) | |||||||
\(270\) | −4.58304 | − | 1.29486i | −0.278915 | − | 0.0788028i | ||||
\(271\) | − | 16.5484i | − | 1.00525i | −0.864506 | − | 0.502623i | \(-0.832368\pi\) | ||
0.864506 | − | 0.502623i | \(-0.167632\pi\) | |||||||
\(272\) | −1.23154 | + | 0.448244i | −0.0746730 | + | 0.0271788i | ||||
\(273\) | 3.98800 | + | 8.10222i | 0.241365 | + | 0.490369i | ||||
\(274\) | 6.11877 | − | 5.13426i | 0.369649 | − | 0.310172i | ||||
\(275\) | 0.696561 | − | 0.122823i | 0.0420042 | − | 0.00740648i | ||||
\(276\) | 0.400344 | + | 4.82710i | 0.0240979 | + | 0.290557i | ||||
\(277\) | −13.1995 | − | 11.0757i | −0.793078 | − | 0.665472i | 0.153427 | − | 0.988160i | \(-0.450969\pi\) |
−0.946505 | + | 0.322688i | \(0.895413\pi\) | |||||||
\(278\) | 3.15307 | − | 5.46127i | 0.189108 | − | 0.327545i | ||||
\(279\) | 26.0166 | + | 9.73643i | 1.55757 | + | 0.582905i | ||||
\(280\) | 8.38628 | − | 1.70100i | 0.501176 | − | 0.101654i | ||||
\(281\) | −14.1177 | − | 2.48933i | −0.842190 | − | 0.148501i | −0.264122 | − | 0.964489i | \(-0.585082\pi\) |
−0.578068 | + | 0.815988i | \(0.696193\pi\) | |||||||
\(282\) | 8.01335 | + | 0.737581i | 0.477188 | + | 0.0439223i | ||||
\(283\) | −4.76130 | + | 13.0816i | −0.283030 | + | 0.777618i | 0.713967 | + | 0.700179i | \(0.246897\pi\) |
−0.996997 | + | 0.0774390i | \(0.975326\pi\) | |||||||
\(284\) | 7.16712 | − | 19.6915i | 0.425290 | − | 1.16848i | ||||
\(285\) | −8.08780 | − | 0.744435i | −0.479080 | − | 0.0440965i | ||||
\(286\) | −0.292874 | − | 0.0516415i | −0.0173180 | − | 0.00305363i | ||||
\(287\) | −6.08179 | − | 29.9844i | −0.358997 | − | 1.76992i | ||||
\(288\) | 13.4346 | − | 11.0676i | 0.791639 | − | 0.652163i | ||||
\(289\) | 8.05857 | − | 13.9579i | 0.474034 | − | 0.821050i | ||||
\(290\) | −2.73515 | − | 2.29506i | −0.160614 | − | 0.134771i | ||||
\(291\) | −0.643794 | − | 7.76246i | −0.0377398 | − | 0.455043i | ||||
\(292\) | 13.3554 | − | 2.35492i | 0.781568 | − | 0.137811i | ||||
\(293\) | −9.24858 | + | 7.76048i | −0.540308 | + | 0.453372i | −0.871643 | − | 0.490141i | \(-0.836945\pi\) |
0.331335 | + | 0.943513i | \(0.392501\pi\) | |||||||
\(294\) | 1.11121 | + | 8.24816i | 0.0648069 | + | 0.481042i | ||||
\(295\) | 12.4370 | − | 4.52670i | 0.724110 | − | 0.263554i | ||||
\(296\) | 7.58203i | 0.440696i | ||||||||
\(297\) | −0.642486 | − | 0.944566i | −0.0372808 | − | 0.0548093i | ||||
\(298\) | 10.4501 | 0.605359 | ||||||||
\(299\) | 3.38729 | − | 1.23287i | 0.195892 | − | 0.0712989i | ||||
\(300\) | 8.21882 | + | 2.24208i | 0.474514 | + | 0.129447i | ||||
\(301\) | −3.71278 | + | 1.45995i | −0.214001 | + | 0.0841500i | ||||
\(302\) | 7.62002 | − | 1.34362i | 0.438483 | − | 0.0773164i | ||||
\(303\) | −0.724513 | + | 1.53557i | −0.0416222 | + | 0.0882161i | ||||
\(304\) | 3.14877 | − | 3.75256i | 0.180594 | − | 0.215224i | ||||
\(305\) | −10.8803 | − | 6.28172i | −0.623001 | − | 0.359690i | ||||
\(306\) | 0.353210 | − | 1.90245i | 0.0201917 | − | 0.108756i | ||||
\(307\) | −19.5181 | + | 11.2688i | −1.11396 | + | 0.643144i | −0.939852 | − | 0.341583i | \(-0.889037\pi\) |
−0.174107 | + | 0.984727i | \(0.555704\pi\) | |||||||
\(308\) | 0.781230 | + | 0.424776i | 0.0445147 | + | 0.0242039i | ||||
\(309\) | 9.69111 | + | 21.0303i | 0.551308 | + | 1.19637i | ||||
\(310\) | −7.97491 | − | 2.90263i | −0.452945 | − | 0.164858i | ||||
\(311\) | 2.46202 | + | 0.896103i | 0.139608 | + | 0.0508133i | 0.410879 | − | 0.911690i | \(-0.365222\pi\) |
−0.271271 | + | 0.962503i | \(0.587444\pi\) | |||||||
\(312\) | −6.75115 | − | 4.77282i | −0.382209 | − | 0.270208i | ||||
\(313\) | 5.70705 | + | 1.00631i | 0.322582 | + | 0.0568798i | 0.332594 | − | 0.943070i | \(-0.392076\pi\) |
−0.0100126 | + | 0.999950i | \(0.503187\pi\) | |||||||
\(314\) | 4.31791 | + | 7.47885i | 0.243674 | + | 0.422056i | ||||
\(315\) | 3.45939 | − | 10.0173i | 0.194914 | − | 0.564409i | ||||
\(316\) | −6.44075 | + | 11.1557i | −0.362320 | + | 0.627557i | ||||
\(317\) | −9.51195 | + | 11.3359i | −0.534244 | + | 0.636687i | −0.963887 | − | 0.266312i | \(-0.914195\pi\) |
0.429643 | + | 0.902999i | \(0.358639\pi\) | |||||||
\(318\) | 2.55487 | + | 3.68406i | 0.143270 | + | 0.206592i | ||||
\(319\) | −0.148721 | − | 0.843437i | −0.00832676 | − | 0.0472234i | ||||
\(320\) | −1.22040 | + | 1.02404i | −0.0682223 | + | 0.0572453i | ||||
\(321\) | −31.3601 | + | 8.25119i | −1.75035 | + | 0.460537i | ||||
\(322\) | 3.32105 | − | 0.0849845i | 0.185075 | − | 0.00473600i | ||||
\(323\) | − | 3.29992i | − | 0.183612i | ||||||
\(324\) | −2.14394 | − | 13.5911i | −0.119108 | − | 0.755062i | ||||
\(325\) | − | 6.33999i | − | 0.351679i | ||||||
\(326\) | 3.63798 | + | 9.99528i | 0.201489 | + | 0.553587i | ||||
\(327\) | −2.30961 | − | 8.77806i | −0.127722 | − | 0.485428i | ||||
\(328\) | 18.0053 | + | 21.4578i | 0.994174 | + | 1.18481i | ||||
\(329\) | −2.65742 | + | 17.7090i | −0.146508 | + | 0.976330i | ||||
\(330\) | 0.198887 | + | 0.286790i | 0.0109484 | + | 0.0157872i | ||||
\(331\) | 7.87879 | + | 6.61109i | 0.433057 | + | 0.363378i | 0.833104 | − | 0.553117i | \(-0.186562\pi\) |
−0.400047 | + | 0.916495i | \(0.631006\pi\) | |||||||
\(332\) | 13.1547 | − | 22.7846i | 0.721957 | − | 1.25047i | ||||
\(333\) | 8.08940 | + | 4.76842i | 0.443297 | + | 0.261308i | ||||
\(334\) | −13.2150 | + | 7.62967i | −0.723092 | + | 0.417477i | ||||
\(335\) | 1.57099 | − | 8.90953i | 0.0858324 | − | 0.486780i | ||||
\(336\) | 3.77568 | + | 5.15750i | 0.205980 | + | 0.281365i | ||||
\(337\) | 25.9383 | + | 9.44078i | 1.41295 | + | 0.514272i | 0.931995 | − | 0.362472i | \(-0.118067\pi\) |
0.480957 | + | 0.876744i | \(0.340289\pi\) | |||||||
\(338\) | 2.14038 | − | 5.88065i | 0.116421 | − | 0.319865i | ||||
\(339\) | 5.94425 | + | 12.8993i | 0.322847 | + | 0.700596i | ||||
\(340\) | 0.333051 | − | 1.88883i | 0.0180622 | − | 0.102436i | ||||
\(341\) | −1.01785 | − | 1.76297i | −0.0551197 | − | 0.0954701i | ||||
\(342\) | 2.41210 | + | 6.81832i | 0.130432 | + | 0.368692i | ||||
\(343\) | −18.4657 | + | 1.42008i | −0.997056 | + | 0.0766769i | ||||
\(344\) | 2.34784 | − | 2.79805i | 0.126587 | − | 0.150861i | ||||
\(345\) | −3.82582 | − | 1.80510i | −0.205975 | − | 0.0971834i | ||||
\(346\) | −3.16913 | + | 0.558804i | −0.170374 | + | 0.0300415i | ||||
\(347\) | 4.96950 | + | 5.92242i | 0.266777 | + | 0.317932i | 0.882757 | − | 0.469829i | \(-0.155684\pi\) |
−0.615981 | + | 0.787761i | \(0.711240\pi\) | |||||||
\(348\) | 2.71484 | − | 9.95182i | 0.145531 | − | 0.533473i | ||||
\(349\) | −10.3198 | − | 28.3535i | −0.552407 | − | 1.51773i | −0.830414 | − | 0.557147i | \(-0.811896\pi\) |
0.278007 | − | 0.960579i | \(-0.410326\pi\) | |||||||
\(350\) | 1.85732 | − | 5.53999i | 0.0992782 | − | 0.296125i | ||||
\(351\) | −9.33808 | + | 4.20125i | −0.498430 | + | 0.224246i | ||||
\(352\) | −1.27558 | −0.0679885 | ||||||||
\(353\) | −13.2988 | + | 4.84037i | −0.707824 | + | 0.257627i | −0.670748 | − | 0.741685i | \(-0.734027\pi\) |
−0.0370764 | + | 0.999312i | \(0.511804\pi\) | |||||||
\(354\) | −8.29590 | − | 8.37122i | −0.440922 | − | 0.444925i | ||||
\(355\) | 11.7640 | + | 14.0198i | 0.624369 | + | 0.744093i | ||||
\(356\) | 1.83835 | + | 10.4258i | 0.0974321 | + | 0.552565i | ||||
\(357\) | 4.18165 | + | 1.02658i | 0.221317 | + | 0.0543321i | ||||
\(358\) | −8.35919 | − | 7.01419i | −0.441797 | − | 0.370711i | ||||
\(359\) | −22.1647 | − | 12.7968i | −1.16981 | − | 0.675389i | −0.216174 | − | 0.976355i | \(-0.569358\pi\) |
−0.953635 | + | 0.300966i | \(0.902691\pi\) | |||||||
\(360\) | 1.59844 | + | 9.57021i | 0.0842452 | + | 0.504395i | ||||
\(361\) | −3.33285 | − | 5.77266i | −0.175413 | − | 0.303824i | ||||
\(362\) | −0.663269 | + | 3.76159i | −0.0348607 | + | 0.197705i | ||||
\(363\) | 1.73862 | − | 18.8890i | 0.0912539 | − | 0.991415i | ||||
\(364\) | 4.96565 | − | 6.23505i | 0.260271 | − | 0.326805i | ||||
\(365\) | −4.05091 | + | 11.1298i | −0.212034 | + | 0.582560i | ||||
\(366\) | −1.02540 | + | 11.1403i | −0.0535984 | + | 0.582313i | ||||
\(367\) | 17.3863 | + | 3.06568i | 0.907559 | + | 0.160027i | 0.607895 | − | 0.794017i | \(-0.292014\pi\) |
0.299664 | + | 0.954045i | \(0.403125\pi\) | |||||||
\(368\) | 2.20959 | − | 1.27571i | 0.115183 | − | 0.0665007i | ||||
\(369\) | 34.2175 | − | 5.71509i | 1.78129 | − | 0.297515i | ||||
\(370\) | −2.48447 | − | 1.43441i | −0.129161 | − | 0.0745714i | ||||
\(371\) | −8.50947 | + | 5.20764i | −0.441790 | + | 0.270367i | ||||
\(372\) | −2.02657 | − | 24.4351i | −0.105073 | − | 1.26690i | ||||
\(373\) | −1.01057 | − | 5.73121i | −0.0523252 | − | 0.296751i | 0.947404 | − | 0.320041i | \(-0.103697\pi\) |
−0.999729 | + | 0.0232906i | \(0.992586\pi\) | |||||||
\(374\) | −0.108624 | + | 0.0911465i | −0.00561682 | + | 0.00471307i | ||||
\(375\) | −13.4980 | + | 13.3766i | −0.697036 | + | 0.690764i | ||||
\(376\) | −5.60743 | − | 15.4063i | −0.289181 | − | 0.794518i | ||||
\(377\) | −7.67682 | −0.395377 | ||||||||
\(378\) | −9.39054 | + | 0.935496i | −0.482997 | + | 0.0481167i | ||||
\(379\) | 28.0324 | 1.43993 | 0.719964 | − | 0.694011i | \(-0.244158\pi\) | ||||
0.719964 | + | 0.694011i | \(0.244158\pi\) | |||||||
\(380\) | 2.45190 | + | 6.73655i | 0.125780 | + | 0.345578i | ||||
\(381\) | −1.60383 | − | 0.437523i | −0.0821668 | − | 0.0224150i | ||||
\(382\) | 0.963473 | − | 0.808450i | 0.0492956 | − | 0.0413639i | ||||
\(383\) | 0.202834 | + | 1.15033i | 0.0103643 | + | 0.0587790i | 0.989551 | − | 0.144181i | \(-0.0460549\pi\) |
−0.979187 | + | 0.202960i | \(0.934944\pi\) | |||||||
\(384\) | −16.8943 | − | 7.97111i | −0.862136 | − | 0.406774i | ||||
\(385\) | −0.662430 | + | 0.405395i | −0.0337606 | + | 0.0206608i | ||||
\(386\) | −0.0690223 | − | 0.0398500i | −0.00351314 | − | 0.00202831i | ||||
\(387\) | −1.50871 | − | 4.26468i | −0.0766919 | − | 0.216786i | ||||
\(388\) | −5.95398 | + | 3.43753i | −0.302268 | + | 0.174514i | ||||
\(389\) | −22.4622 | − | 3.96069i | −1.13888 | − | 0.200815i | −0.427763 | − | 0.903891i | \(-0.640698\pi\) |
−0.711115 | + | 0.703076i | \(0.751809\pi\) | |||||||
\(390\) | 2.84117 | − | 1.30926i | 0.143868 | − | 0.0662970i | ||||
\(391\) | 0.587844 | − | 1.61509i | 0.0297285 | − | 0.0816785i | ||||
\(392\) | 14.2317 | − | 9.21806i | 0.718808 | − | 0.465582i | ||||
\(393\) | 6.92054 | + | 4.89257i | 0.349095 | + | 0.246797i | ||||
\(394\) | −1.86476 | + | 10.5756i | −0.0939452 | + | 0.532790i | ||||
\(395\) | −5.62511 | − | 9.74298i | −0.283030 | − | 0.490222i | ||||
\(396\) | −0.512026 | + | 0.868628i | −0.0257303 | + | 0.0436502i | ||||
\(397\) | −13.0866 | − | 7.55554i | −0.656797 | − | 0.379202i | 0.134259 | − | 0.990946i | \(-0.457135\pi\) |
−0.791055 | + | 0.611745i | \(0.790468\pi\) | |||||||
\(398\) | −5.06008 | − | 4.24591i | −0.253639 | − | 0.212828i | ||||
\(399\) | −15.4545 | + | 4.49199i | −0.773694 | + | 0.224881i | ||||
\(400\) | −0.779242 | − | 4.41930i | −0.0389621 | − | 0.220965i | ||||
\(401\) | −2.49029 | − | 2.96781i | −0.124359 | − | 0.148205i | 0.700272 | − | 0.713876i | \(-0.253062\pi\) |
−0.824631 | + | 0.565670i | \(0.808617\pi\) | |||||||
\(402\) | −7.79091 | + | 2.04988i | −0.388576 | + | 0.102239i | ||||
\(403\) | −17.1467 | + | 6.24088i | −0.854137 | + | 0.310881i | ||||
\(404\) | 1.49866 | 0.0745611 | ||||||||
\(405\) | 11.2159 | + | 4.31340i | 0.557323 | + | 0.214335i | ||||
\(406\) | −6.70814 | − | 2.24896i | −0.332919 | − | 0.111614i | ||||
\(407\) | −0.235358 | − | 0.646640i | −0.0116663 | − | 0.0320528i | ||||
\(408\) | −3.81243 | + | 1.00310i | −0.188744 | + | 0.0496606i | ||||
\(409\) | −15.1865 | − | 18.0986i | −0.750926 | − | 0.894919i | 0.246312 | − | 0.969191i | \(-0.420781\pi\) |
−0.997238 | + | 0.0742715i | \(0.976337\pi\) | |||||||
\(410\) | −10.4376 | + | 1.84043i | −0.515477 | + | 0.0908925i | ||||
\(411\) | −16.5615 | + | 11.4853i | −0.816918 | + | 0.566528i | ||||
\(412\) | 13.1376 | − | 15.6568i | 0.647243 | − | 0.771354i | ||||
\(413\) | 19.6526 | − | 17.3663i | 0.967040 | − | 0.854538i | ||||
\(414\) | −0.0340454 | + | 3.76679i | −0.00167324 | + | 0.185128i | ||||
\(415\) | 11.4888 | + | 19.8992i | 0.563963 | + | 0.976813i | ||||
\(416\) | −1.98544 | + | 11.2600i | −0.0973443 | + | 0.552067i | ||||
\(417\) | −9.18546 | + | 12.9928i | −0.449814 | + | 0.636261i | ||||
\(418\) | 0.181274 | − | 0.498046i | 0.00886640 | − | 0.0243602i | ||||
\(419\) | −19.8064 | − | 7.20893i | −0.967605 | − | 0.352179i | −0.190596 | − | 0.981669i | \(-0.561042\pi\) |
−0.777009 | + | 0.629489i | \(0.783264\pi\) | |||||||
\(420\) | −9.29930 | + | 1.01137i | −0.453760 | + | 0.0493497i | ||||
\(421\) | 2.68706 | − | 15.2391i | 0.130959 | − | 0.742708i | −0.846629 | − | 0.532183i | \(-0.821372\pi\) |
0.977589 | − | 0.210524i | \(-0.0675172\pi\) | |||||||
\(422\) | 8.25950 | − | 4.76863i | 0.402066 | − | 0.232133i | ||||
\(423\) | −19.9638 | − | 3.70650i | −0.970674 | − | 0.180216i | ||||
\(424\) | 4.56699 | − | 7.91026i | 0.221793 | − | 0.384156i | ||||
\(425\) | −2.31572 | − | 1.94312i | −0.112329 | − | 0.0942551i | ||||
\(426\) | 6.95409 | − | 14.7388i | 0.336927 | − | 0.714099i | ||||
\(427\) | −24.6194 | − | 3.69439i | −1.19142 | − | 0.178784i | ||||
\(428\) | 18.3979 | + | 21.9258i | 0.889297 | + | 1.05982i | ||||
\(429\) | 0.723934 | + | 0.197488i | 0.0349518 | + | 0.00953481i | ||||
\(430\) | 0.472684 | + | 1.29869i | 0.0227948 | + | 0.0626283i | ||||
\(431\) | 22.9807i | 1.10694i | 0.832868 | + | 0.553472i | \(0.186697\pi\) | ||||
−0.832868 | + | 0.553472i | \(0.813303\pi\) | |||||||
\(432\) | −5.99275 | + | 4.07622i | −0.288326 | + | 0.196117i | ||||
\(433\) | 24.6163i | 1.18299i | 0.806310 | + | 0.591493i | \(0.201461\pi\) | ||||
−0.806310 | + | 0.591493i | \(0.798539\pi\) | |||||||
\(434\) | −16.8114 | + | 0.430197i | −0.806971 | + | 0.0206501i | ||||
\(435\) | 6.34158 | + | 6.39915i | 0.304055 | + | 0.306816i | ||||
\(436\) | −6.13729 | + | 5.14980i | −0.293923 | + | 0.246631i | ||||
\(437\) | 1.11556 | + | 6.32664i | 0.0533643 | + | 0.302644i | ||||
\(438\) | 10.5107 | − | 0.871726i | 0.502222 | − | 0.0416527i | ||||
\(439\) | 12.4166 | − | 14.7975i | 0.592613 | − | 0.706248i | −0.383493 | − | 0.923544i | \(-0.625279\pi\) |
0.976106 | + | 0.217296i | \(0.0697235\pi\) | |||||||
\(440\) | 0.355523 | − | 0.615783i | 0.0169489 | − | 0.0293563i | ||||
\(441\) | −0.884471 | − | 20.9814i | −0.0421176 | − | 0.999113i | ||||
\(442\) | 0.635511 | + | 1.10074i | 0.0302282 | + | 0.0523567i | ||||
\(443\) | 19.7211 | + | 3.47737i | 0.936980 | + | 0.165215i | 0.621231 | − | 0.783628i | \(-0.286633\pi\) |
0.315749 | + | 0.948843i | \(0.397744\pi\) | |||||||
\(444\) | 0.759677 | − | 8.25340i | 0.0360527 | − | 0.391689i | ||||
\(445\) | −8.68835 | − | 3.16230i | −0.411867 | − | 0.149907i | ||||
\(446\) | −11.7055 | − | 4.26045i | −0.554271 | − | 0.201738i | ||||
\(447\) | −26.2571 | − | 2.41681i | −1.24192 | − | 0.114311i | ||||
\(448\) | −1.50797 | + | 2.77338i | −0.0712447 | + | 0.131030i | ||||
\(449\) | −10.4575 | + | 6.03767i | −0.493522 | + | 0.284935i | −0.726034 | − | 0.687658i | \(-0.758639\pi\) |
0.232512 | + | 0.972593i | \(0.425305\pi\) | |||||||
\(450\) | 6.20509 | + | 2.32219i | 0.292511 | + | 0.109469i | ||||
\(451\) | −2.20168 | − | 1.27114i | −0.103673 | − | 0.0598557i | ||||
\(452\) | 8.05822 | − | 9.60341i | 0.379027 | − | 0.451706i | ||||
\(453\) | −19.4569 | + | 1.61369i | −0.914163 | + | 0.0758178i | ||||
\(454\) | 17.4829 | − | 3.08271i | 0.820515 | − | 0.144679i | ||||
\(455\) | 2.54750 | + | 6.47852i | 0.119429 | + | 0.303718i | ||||
\(456\) | 10.4662 | − | 10.3720i | 0.490123 | − | 0.485713i | ||||
\(457\) | 16.7442 | − | 6.09438i | 0.783259 | − | 0.285083i | 0.0807282 | − | 0.996736i | \(-0.474275\pi\) |
0.702531 | + | 0.711653i | \(0.252053\pi\) | |||||||
\(458\) | 7.44235 | 0.347758 | ||||||||
\(459\) | −1.32746 | + | 4.69841i | −0.0619605 | + | 0.219303i | ||||
\(460\) | 3.73386i | 0.174092i | ||||||||
\(461\) | 11.0937 | − | 4.03778i | 0.516685 | − | 0.188058i | −0.0704983 | − | 0.997512i | \(-0.522459\pi\) |
0.587183 | + | 0.809454i | \(0.300237\pi\) | |||||||
\(462\) | 0.574730 | + | 0.384648i | 0.0267389 | + | 0.0178954i | ||||
\(463\) | −5.77577 | + | 4.84645i | −0.268423 | + | 0.225234i | −0.767057 | − | 0.641579i | \(-0.778280\pi\) |
0.498634 | + | 0.866813i | \(0.333835\pi\) | |||||||
\(464\) | −5.35114 | + | 0.943551i | −0.248421 | + | 0.0438033i | ||||
\(465\) | 19.3665 | + | 9.13754i | 0.898101 | + | 0.423743i | ||||
\(466\) | −1.43417 | − | 1.20341i | −0.0664365 | − | 0.0557468i | ||||
\(467\) | −5.54773 | + | 9.60896i | −0.256719 | + | 0.444650i | −0.965361 | − | 0.260918i | \(-0.915975\pi\) |
0.708642 | + | 0.705568i | \(0.249308\pi\) | |||||||
\(468\) | 6.87074 | + | 5.87187i | 0.317600 | + | 0.271427i | ||||
\(469\) | −3.56360 | − | 17.5692i | −0.164552 | − | 0.811273i | ||||
\(470\) | 6.10915 | + | 1.07721i | 0.281794 | + | 0.0496879i | ||||
\(471\) | −9.11958 | − | 19.7900i | −0.420208 | − | 0.911876i | ||||
\(472\) | −8.21235 | + | 22.5633i | −0.378004 | + | 1.03856i | ||||
\(473\) | −0.113382 | + | 0.311515i | −0.00521331 | + | 0.0143235i | ||||
\(474\) | −5.78312 | + | 8.18022i | −0.265627 | + | 0.375730i | ||||
\(475\) | 11.1274 | + | 1.96206i | 0.510561 | + | 0.0900257i | ||||
\(476\) | −0.755486 | − | 3.72469i | −0.0346276 | − | 0.170721i | ||||
\(477\) | −5.56737 | − | 9.84745i | −0.254913 | − | 0.450884i | ||||
\(478\) | −10.3888 | + | 17.9939i | −0.475172 | + | 0.823022i | ||||
\(479\) | 0.344634 | + | 0.289182i | 0.0157467 | + | 0.0132131i | 0.650627 | − | 0.759397i | \(-0.274506\pi\) |
−0.634880 | + | 0.772611i | \(0.718951\pi\) | |||||||
\(480\) | 11.0261 | − | 7.64653i | 0.503270 | − | 0.349015i | ||||
\(481\) | −6.07448 | + | 1.07109i | −0.276972 | + | 0.0488377i | ||||
\(482\) | 12.9014 | − | 10.8255i | 0.587641 | − | 0.493090i | ||||
\(483\) | −8.36414 | − | 0.554528i | −0.380582 | − | 0.0252319i | ||||
\(484\) | −15.7332 | + | 5.72640i | −0.715143 | + | 0.260291i | ||||
\(485\) | − | 6.00443i | − | 0.272647i | ||||||
\(486\) | −0.691538 | − | 10.6782i | −0.0313688 | − | 0.484373i | ||||
\(487\) | −24.3678 | −1.10421 | −0.552105 | − | 0.833774i | \(-0.686175\pi\) | ||||
−0.552105 | + | 0.833774i | \(0.686175\pi\) | |||||||
\(488\) | 21.4181 | − | 7.79554i | 0.969551 | − | 0.352888i | ||||
\(489\) | −6.82921 | − | 25.9556i | −0.308828 | − | 1.17375i | ||||
\(490\) | 0.328138 | + | 6.40734i | 0.0148238 | + | 0.289454i | ||||
\(491\) | 12.6614 | − | 2.23255i | 0.571402 | − | 0.100754i | 0.119521 | − | 0.992832i | \(-0.461864\pi\) |
0.451881 | + | 0.892078i | \(0.350753\pi\) | |||||||
\(492\) | −17.4496 | − | 25.1619i | −0.786691 | − | 1.13439i | ||||
\(493\) | −2.35284 | + | 2.80401i | −0.105967 | + | 0.126286i | ||||
\(494\) | −4.11429 | − | 2.37539i | −0.185111 | − | 0.106874i | ||||
\(495\) | −0.433399 | − | 0.766586i | −0.0194798 | − | 0.0344555i | ||||
\(496\) | −11.1851 | + | 6.45770i | −0.502224 | + | 0.289959i | ||||
\(497\) | 31.8603 | + | 17.3233i | 1.42913 | + | 0.777058i | ||||
\(498\) | 11.8115 | − | 16.7074i | 0.529287 | − | 0.748677i | ||||
\(499\) | 27.7006 | + | 10.0822i | 1.24005 | + | 0.451341i | 0.877028 | − | 0.480439i | \(-0.159523\pi\) |
0.363022 | + | 0.931781i | \(0.381745\pi\) | |||||||
\(500\) | 15.7618 | + | 5.73684i | 0.704891 | + | 0.256559i | ||||
\(501\) | 34.9686 | − | 16.1141i | 1.56228 | − | 0.719926i | ||||
\(502\) | 16.3095 | + | 2.87580i | 0.727929 | + | 0.128353i | ||||
\(503\) | 6.61558 | + | 11.4585i | 0.294974 | + | 0.510910i | 0.974979 | − | 0.222298i | \(-0.0713557\pi\) |
−0.680005 | + | 0.733208i | \(0.738022\pi\) | |||||||
\(504\) | 9.88744 | + | 16.4893i | 0.440422 | + | 0.734493i | ||||
\(505\) | −0.654437 | + | 1.13352i | −0.0291221 | + | 0.0504409i | ||||
\(506\) | 0.177443 | − | 0.211468i | 0.00788829 | − | 0.00940089i | ||||
\(507\) | −6.73797 | + | 14.2808i | −0.299244 | + | 0.634231i | ||||
\(508\) | 0.254803 | + | 1.44506i | 0.0113051 | + | 0.0641143i | ||||
\(509\) | −10.7916 | + | 9.05526i | −0.478331 | + | 0.401367i | −0.849823 | − | 0.527069i | \(-0.823291\pi\) |
0.371491 | + | 0.928436i | \(0.378847\pi\) | |||||||
\(510\) | 0.392564 | − | 1.43902i | 0.0173830 | − | 0.0637211i | ||||
\(511\) | 0.600383 | + | 23.4619i | 0.0265594 | + | 1.03789i | ||||
\(512\) | 14.8502i | 0.656292i | ||||||||
\(513\) | −4.48379 | − | 17.6896i | −0.197964 | − | 0.781015i | ||||
\(514\) | − | 8.06010i | − | 0.355516i | ||||||
\(515\) | 6.10512 | + | 16.7737i | 0.269024 | + | 0.739137i | ||||
\(516\) | −2.83609 | + | 2.81057i | −0.124852 | + | 0.123728i | ||||
\(517\) | 0.956469 | + | 1.13988i | 0.0420655 | + | 0.0501317i | ||||
\(518\) | −5.62176 | − | 0.843602i | −0.247006 | − | 0.0370658i | ||||
\(519\) | 8.09203 | − | 0.671127i | 0.355201 | − | 0.0294592i | ||||
\(520\) | −4.88238 | − | 4.09680i | −0.214107 | − | 0.179657i | ||||
\(521\) | 4.03394 | − | 6.98699i | 0.176730 | − | 0.306105i | −0.764029 | − | 0.645182i | \(-0.776781\pi\) |
0.940759 | + | 0.339077i | \(0.110115\pi\) | |||||||
\(522\) | 2.81184 | − | 7.51348i | 0.123071 | − | 0.328856i | ||||
\(523\) | −10.5643 | + | 6.09931i | −0.461945 | + | 0.266704i | −0.712862 | − | 0.701305i | \(-0.752601\pi\) |
0.250917 | + | 0.968009i | \(0.419268\pi\) | |||||||
\(524\) | 1.29902 | − | 7.36711i | 0.0567479 | − | 0.321833i | ||||
\(525\) | −5.94797 | + | 13.4903i | −0.259590 | + | 0.588763i | ||||
\(526\) | −12.7572 | − | 4.64325i | −0.556241 | − | 0.202455i | ||||
\(527\) | −2.97570 | + | 8.17568i | −0.129624 | + | 0.356138i | ||||
\(528\) | 0.528892 | + | 0.0486814i | 0.0230171 | + | 0.00211859i | ||||
\(529\) | 3.41288 | − | 19.3554i | 0.148386 | − | 0.841539i | ||||
\(530\) | 1.72802 | + | 2.99301i | 0.0750602 | + | 0.130008i | ||||
\(531\) | 18.9083 | + | 22.9522i | 0.820551 | + | 0.996040i | ||||
\(532\) | 9.40650 | + | 10.6449i | 0.407824 | + | 0.461515i | ||||
\(533\) | −14.6478 | + | 17.4565i | −0.634465 | + | 0.756126i | ||||
\(534\) | 0.680504 | + | 8.20509i | 0.0294483 | + | 0.355069i | ||||
\(535\) | −24.6177 | + | 4.34076i | −1.06432 | + | 0.187668i | ||||
\(536\) | 10.5501 | + | 12.5731i | 0.455695 | + | 0.543077i | ||||
\(537\) | 19.3812 | + | 19.5571i | 0.836360 | + | 0.843953i | ||||
\(538\) | −4.02100 | − | 11.0476i | −0.173357 | − | 0.476296i | ||||
\(539\) | −0.927618 | + | 1.22794i | −0.0399553 | + | 0.0528913i | ||||
\(540\) | −0.781098 | − | 10.5778i | −0.0336131 | − | 0.455196i | ||||
\(541\) | −17.3576 | −0.746264 | −0.373132 | − | 0.927778i | \(-0.621716\pi\) | ||||
−0.373132 | + | 0.927778i | \(0.621716\pi\) | |||||||
\(542\) | −10.6745 | + | 3.88519i | −0.458508 | + | 0.166883i | ||||
\(543\) | 2.53648 | − | 9.29800i | 0.108851 | − | 0.399015i | ||||
\(544\) | 3.50427 | + | 4.17623i | 0.150245 | + | 0.179054i | ||||
\(545\) | −1.21503 | − | 6.89079i | −0.0520462 | − | 0.295169i | ||||
\(546\) | 4.29000 | − | 4.47466i | 0.183595 | − | 0.191498i | ||||
\(547\) | 5.51648 | + | 4.62888i | 0.235868 | + | 0.197916i | 0.753058 | − | 0.657954i | \(-0.228578\pi\) |
−0.517191 | + | 0.855870i | \(0.673022\pi\) | |||||||
\(548\) | 15.4059 | + | 8.89460i | 0.658107 | + | 0.379958i | ||||
\(549\) | 5.15285 | − | 27.7540i | 0.219918 | − | 1.18451i | ||||
\(550\) | −0.242763 | − | 0.420477i | −0.0103514 | − | 0.0179292i | ||||
\(551\) | 2.37578 | − | 13.4737i | 0.101212 | − | 0.574000i | ||||
\(552\) | 6.97013 | − | 3.21196i | 0.296668 | − | 0.136710i | ||||
\(553\) | −17.4383 | − | 13.8880i | −0.741552 | − | 0.590579i | ||||
\(554\) | −4.04537 | + | 11.1145i | −0.171871 | + | 0.472212i | ||||
\(555\) | 5.91076 | + | 4.17869i | 0.250898 | + | 0.177376i | ||||
\(556\) | 13.8312 | + | 2.43882i | 0.586575 | + | 0.103429i | ||||
\(557\) | −15.7336 | + | 9.08382i | −0.666655 | + | 0.384894i | −0.794808 | − | 0.606861i | \(-0.792429\pi\) |
0.128153 | + | 0.991754i | \(0.459095\pi\) | |||||||
\(558\) | 0.172340 | − | 19.0677i | 0.00729574 | − | 0.807202i | ||||
\(559\) | 2.57338 | + | 1.48574i | 0.108842 | + | 0.0628402i | ||||
\(560\) | 2.57201 | + | 4.20275i | 0.108687 | + | 0.177599i | ||||
\(561\) | 0.294009 | − | 0.203894i | 0.0124131 | − | 0.00860840i | ||||
\(562\) | 1.70878 | + | 9.69097i | 0.0720805 | + | 0.408789i | ||||
\(563\) | 6.45074 | − | 5.41282i | 0.271866 | − | 0.228123i | −0.496653 | − | 0.867949i | \(-0.665438\pi\) |
0.768520 | + | 0.639826i | \(0.220994\pi\) | |||||||
\(564\) | 4.56033 | + | 17.3323i | 0.192025 | + | 0.729822i | ||||
\(565\) | 3.74471 | + | 10.2885i | 0.157541 | + | 0.432840i | ||||
\(566\) | 9.55604 | 0.401670 | ||||||||
\(567\) | 23.8111 | − | 0.178776i | 0.999972 | − | 0.00750789i | ||||
\(568\) | −33.2027 | −1.39316 | ||||||||
\(569\) | −13.8694 | − | 38.1057i | −0.581434 | − | 1.59748i | −0.785732 | − | 0.618567i | \(-0.787714\pi\) |
0.204298 | − | 0.978909i | \(-0.434509\pi\) | |||||||
\(570\) | 1.41864 | + | 5.39177i | 0.0594202 | + | 0.225836i | ||||
\(571\) | −15.0780 | + | 12.6519i | −0.630994 | + | 0.529467i | −0.901238 | − | 0.433325i | \(-0.857340\pi\) |
0.270244 | + | 0.962792i | \(0.412896\pi\) | |||||||
\(572\) | −0.115012 | − | 0.652268i | −0.00480891 | − | 0.0272727i | ||||
\(573\) | −2.60780 | + | 1.80849i | −0.108942 | + | 0.0755509i | ||||
\(574\) | −17.9134 | + | 10.9627i | −0.747692 | + | 0.457573i | ||||
\(575\) | 5.09660 | + | 2.94252i | 0.212543 | + | 0.122712i | ||||
\(576\) | −3.08365 | − | 1.81770i | −0.128485 | − | 0.0757376i | ||||
\(577\) | 33.4084 | − | 19.2884i | 1.39081 | − | 0.802985i | 0.397405 | − | 0.917643i | \(-0.369911\pi\) |
0.993405 | + | 0.114658i | \(0.0365774\pi\) | |||||||
\(578\) | −10.8954 | − | 1.92115i | −0.453189 | − | 0.0799095i | ||||
\(579\) | 0.164210 | + | 0.116090i | 0.00682433 | + | 0.00482455i | ||||
\(580\) | 2.71972 | − | 7.47238i | 0.112930 | − | 0.310274i | ||||
\(581\) | 35.6162 | + | 28.3651i | 1.47761 | + | 1.17678i | ||||
\(582\) | −4.85598 | + | 2.23772i | −0.201287 | + | 0.0927566i | ||||
\(583\) | −0.143953 | + | 0.816400i | −0.00596194 | + | 0.0338118i | ||||
\(584\) | −10.7438 | − | 18.6088i | −0.444581 | − | 0.770037i | ||||
\(585\) | −7.44154 | + | 2.63258i | −0.307670 | + | 0.108844i | ||||
\(586\) | 7.17721 | + | 4.14376i | 0.296488 | + | 0.171177i | ||||
\(587\) | 26.1514 | + | 21.9436i | 1.07938 | + | 0.905710i | 0.995869 | − | 0.0907969i | \(-0.0289414\pi\) |
0.0835134 | + | 0.996507i | \(0.473386\pi\) | |||||||
\(588\) | −16.4155 | + | 8.60837i | −0.676962 | + | 0.355003i | ||||
\(589\) | −5.64702 | − | 32.0258i | −0.232681 | − | 1.31960i | ||||
\(590\) | −5.83984 | − | 6.95965i | −0.240423 | − | 0.286524i | ||||
\(591\) | 7.13123 | − | 26.1410i | 0.293340 | − | 1.07530i | ||||
\(592\) | −4.10258 | + | 1.49322i | −0.168615 | + | 0.0613708i | ||||
\(593\) | 6.67349 | 0.274048 | 0.137024 | − | 0.990568i | \(-0.456246\pi\) | ||||
0.137024 | + | 0.990568i | \(0.456246\pi\) | |||||||
\(594\) | −0.458446 | + | 0.636195i | −0.0188103 | + | 0.0261034i | ||||
\(595\) | 3.14709 | + | 1.05509i | 0.129018 | + | 0.0432544i | ||||
\(596\) | 7.96011 | + | 21.8702i | 0.326059 | + | 0.895839i | ||||
\(597\) | 11.7320 | + | 11.8386i | 0.480160 | + | 0.484520i | ||||
\(598\) | −1.59052 | − | 1.89550i | −0.0650411 | − | 0.0775129i | ||||
\(599\) | 25.4041 | − | 4.47942i | 1.03798 | − | 0.183024i | 0.371413 | − | 0.928468i | \(-0.378873\pi\) |
0.666569 | + | 0.745443i | \(0.267762\pi\) | |||||||
\(600\) | −1.11567 | − | 13.4521i | −0.0455471 | − | 0.549178i | ||||
\(601\) | −12.8387 | + | 15.3005i | −0.523699 | + | 0.624121i | −0.961451 | − | 0.274975i | \(-0.911330\pi\) |
0.437752 | + | 0.899096i | \(0.355775\pi\) | |||||||
\(602\) | 1.81341 | + | 2.05215i | 0.0739090 | + | 0.0836393i | ||||
\(603\) | 20.0496 | − | 3.34873i | 0.816482 | − | 0.136371i | ||||
\(604\) | 8.61630 | + | 14.9239i | 0.350592 | + | 0.607243i | ||||
\(605\) | 2.53919 | − | 14.4005i | 0.103233 | − | 0.585462i | ||||
\(606\) | 1.16061 | + | 0.106827i | 0.0471465 | + | 0.00433956i | ||||
\(607\) | −11.2649 | + | 30.9501i | −0.457228 | + | 1.25622i | 0.470312 | + | 0.882500i | \(0.344141\pi\) |
−0.927540 | + | 0.373724i | \(0.878081\pi\) | |||||||
\(608\) | −19.1482 | − | 6.96937i | −0.776562 | − | 0.282645i | ||||
\(609\) | 16.3348 | + | 7.20214i | 0.661919 | + | 0.291845i | ||||
\(610\) | −1.49755 | + | 8.49305i | −0.0606342 | + | 0.343874i | ||||
\(611\) | 11.5509 | − | 6.66889i | 0.467298 | − | 0.269795i | ||||
\(612\) | 4.25052 | − | 0.709933i | 0.171817 | − | 0.0286973i | ||||
\(613\) | 15.5747 | − | 26.9761i | 0.629055 | − | 1.08956i | −0.358687 | − | 0.933458i | \(-0.616775\pi\) |
0.987742 | − | 0.156097i | \(-0.0498913\pi\) | |||||||
\(614\) | 11.8513 | + | 9.94441i | 0.478279 | + | 0.401324i | ||||
\(615\) | 26.6513 | − | 2.21037i | 1.07468 | − | 0.0891307i | ||||
\(616\) | 0.209089 | − | 1.39337i | 0.00842445 | − | 0.0561405i | ||||
\(617\) | −21.5216 | − | 25.6485i | −0.866428 | − | 1.03257i | −0.999142 | − | 0.0414139i | \(-0.986814\pi\) |
0.132714 | − | 0.991154i | \(-0.457631\pi\) | |||||||
\(618\) | 11.2902 | − | 11.1886i | 0.454159 | − | 0.450072i | ||||
\(619\) | 1.15081 | + | 3.16183i | 0.0462550 | + | 0.127085i | 0.960669 | − | 0.277695i | \(-0.0895705\pi\) |
−0.914414 | + | 0.404780i | \(0.867348\pi\) | |||||||
\(620\) | − | 18.9011i | − | 0.759084i | ||||||
\(621\) | 0.956691 | − | 9.45660i | 0.0383907 | − | 0.379480i | ||||
\(622\) | − | 1.79850i | − | 0.0721132i | ||||||
\(623\) | −18.3153 | + | 0.468682i | −0.733787 | + | 0.0187774i | ||||
\(624\) | 1.25295 | − | 4.59296i | 0.0501583 | − | 0.183866i | ||||
\(625\) | 1.10083 | − | 0.923703i | 0.0440330 | − | 0.0369481i | ||||
\(626\) | −0.690772 | − | 3.91756i | −0.0276088 | − | 0.156577i | ||||
\(627\) | −0.570654 | + | 1.20947i | −0.0227897 | + | 0.0483016i | ||||
\(628\) | −12.3628 | + | 14.7334i | −0.493330 | + | 0.587928i | ||||
\(629\) | −1.47052 | + | 2.54701i | −0.0586334 | + | 0.101556i | ||||
\(630\) | −7.27376 | + | 0.120363i | −0.289794 | + | 0.00479537i | ||||
\(631\) | −9.48269 | − | 16.4245i | −0.377500 | − | 0.653849i | 0.613198 | − | 0.789929i | \(-0.289883\pi\) |
−0.990698 | + | 0.136080i | \(0.956549\pi\) | |||||||
\(632\) | 20.1001 | + | 3.54419i | 0.799540 | + | 0.140980i | ||||
\(633\) | −21.8557 | + | 10.0715i | −0.868687 | + | 0.400306i | ||||
\(634\) | 9.54535 | + | 3.47422i | 0.379094 | + | 0.137979i | ||||
\(635\) | −1.20425 | − | 0.438310i | −0.0477891 | − | 0.0173938i | ||||
\(636\) | −5.76396 | + | 8.15312i | −0.228556 | + | 0.323292i | ||||
\(637\) | 9.39568 | + | 10.0997i | 0.372271 | + | 0.400166i | ||||
\(638\) | −0.509138 | + | 0.293951i | −0.0201570 | + | 0.0116376i | ||||
\(639\) | −20.8816 | + | 35.4246i | −0.826062 | + | 1.40138i | ||||
\(640\) | −12.4710 | − | 7.20013i | −0.492959 | − | 0.284610i | ||||
\(641\) | 12.8204 | − | 15.2788i | 0.506376 | − | 0.603475i | −0.450927 | − | 0.892561i | \(-0.648907\pi\) |
0.957303 | + | 0.289085i | \(0.0933511\pi\) | |||||||
\(642\) | 12.6850 | + | 18.2915i | 0.500638 | + | 0.721906i | ||||
\(643\) | 32.5518 | − | 5.73976i | 1.28372 | − | 0.226354i | 0.510160 | − | 0.860080i | \(-0.329586\pi\) |
0.773558 | + | 0.633726i | \(0.218475\pi\) | |||||||
\(644\) | 2.70758 | + | 6.88561i | 0.106693 | + | 0.271331i | ||||
\(645\) | −0.887320 | − | 3.37241i | −0.0349382 | − | 0.132789i | ||||
\(646\) | −2.12860 | + | 0.774746i | −0.0837485 | + | 0.0304820i | ||||
\(647\) | −22.6934 | −0.892168 | −0.446084 | − | 0.894991i | \(-0.647182\pi\) | ||||
−0.446084 | + | 0.894991i | \(0.647182\pi\) | |||||||
\(648\) | −19.0740 | + | 10.5574i | −0.749298 | + | 0.414733i | ||||
\(649\) | − | 2.17925i | − | 0.0855431i | ||||||
\(650\) | −4.08958 | + | 1.48848i | −0.160406 | + | 0.0583831i | ||||
\(651\) | 42.3398 | + | 2.80706i | 1.65943 | + | 0.110017i | ||||
\(652\) | −18.1472 | + | 15.2273i | −0.710698 | + | 0.596346i | ||||
\(653\) | 17.5842 | − | 3.10057i | 0.688122 | − | 0.121335i | 0.181355 | − | 0.983418i | \(-0.441952\pi\) |
0.506767 | + | 0.862083i | \(0.330840\pi\) | |||||||
\(654\) | −5.12000 | + | 3.55069i | −0.200208 | + | 0.138843i | ||||
\(655\) | 5.00488 | + | 4.19960i | 0.195557 | + | 0.164092i | ||||
\(656\) | −8.06469 | + | 13.9684i | −0.314873 | + | 0.545376i | ||||
\(657\) | −26.6109 | − | 0.240518i | −1.03819 | − | 0.00938349i | ||||
\(658\) | 12.0470 | − | 2.44352i | 0.469642 | − | 0.0952583i | ||||
\(659\) | −15.8260 | − | 2.79056i | −0.616495 | − | 0.108705i | −0.143325 | − | 0.989676i | \(-0.545779\pi\) |
−0.473170 | + | 0.880971i | \(0.656891\pi\) | |||||||
\(660\) | −0.448702 | + | 0.634689i | −0.0174657 | + | 0.0247052i | ||||
\(661\) | 14.4940 | − | 39.8218i | 0.563750 | − | 1.54889i | −0.250344 | − | 0.968157i | \(-0.580544\pi\) |
0.814094 | − | 0.580733i | \(-0.197234\pi\) | |||||||
\(662\) | 2.41469 | − | 6.63430i | 0.0938495 | − | 0.257849i | ||||
\(663\) | −1.34222 | − | 2.91269i | −0.0521275 | − | 0.113120i | ||||
\(664\) | −41.0528 | − | 7.23872i | −1.59316 | − | 0.280917i | ||||
\(665\) | −12.1590 | + | 2.46622i | −0.471504 | + | 0.0956360i | ||||
\(666\) | 1.17664 | − | 6.33754i | 0.0455937 | − | 0.245575i | ||||
\(667\) | 3.56298 | − | 6.17126i | 0.137959 | − | 0.238952i | ||||
\(668\) | −26.0337 | − | 21.8449i | −1.00727 | − | 0.845203i | ||||
\(669\) | 28.4260 | + | 13.4120i | 1.09901 | + | 0.518537i | ||||
\(670\) | −6.11588 | + | 1.07839i | −0.236277 | + | 0.0416620i | ||||
\(671\) | −1.58467 | + | 1.32970i | −0.0611757 | + | 0.0513325i | ||||
\(672\) | 14.7884 | − | 22.0964i | 0.570475 | − | 0.852389i | ||||
\(673\) | −10.5299 | + | 3.83256i | −0.405897 | + | 0.147734i | −0.536897 | − | 0.843648i | \(-0.680403\pi\) |
0.131000 | + | 0.991382i | \(0.458181\pi\) | |||||||
\(674\) | − | 18.9479i | − | 0.729845i | ||||||
\(675\) | −15.0539 | − | 7.26981i | −0.579425 | − | 0.279815i | ||||
\(676\) | 13.9375 | 0.536059 | ||||||||
\(677\) | −4.46954 | + | 1.62678i | −0.171778 | + | 0.0625222i | −0.426478 | − | 0.904498i | \(-0.640246\pi\) |
0.254699 | + | 0.967020i | \(0.418024\pi\) | |||||||
\(678\) | 6.92508 | − | 6.86278i | 0.265956 | − | 0.263563i | ||||
\(679\) | −4.35406 | − | 11.0728i | −0.167093 | − | 0.424934i | ||||
\(680\) | −2.99277 | + | 0.527705i | −0.114767 | + | 0.0202366i | ||||
\(681\) | −44.6407 | + | 3.70236i | −1.71064 | + | 0.141875i | ||||
\(682\) | −0.898226 | + | 1.07046i | −0.0343948 | + | 0.0409902i | ||||
\(683\) | 22.2708 | + | 12.8581i | 0.852170 | + | 0.492001i | 0.861382 | − | 0.507957i | \(-0.169599\pi\) |
−0.00921244 | + | 0.999958i | \(0.502932\pi\) | |||||||
\(684\) | −12.4321 | + | 10.2418i | −0.475355 | + | 0.391604i | ||||
\(685\) | −13.4549 | + | 7.76821i | −0.514086 | + | 0.296808i | ||||
\(686\) | 5.25134 | + | 11.5778i | 0.200497 | + | 0.442043i | ||||
\(687\) | −18.6997 | − | 1.72120i | −0.713439 | − | 0.0656678i | ||||
\(688\) | 1.97639 | + | 0.719347i | 0.0753492 | + | 0.0274248i | ||||
\(689\) | 6.98261 | + | 2.54146i | 0.266016 | + | 0.0968220i | ||||
\(690\) | −0.266157 | + | 2.89162i | −0.0101324 | + | 0.110082i | ||||
\(691\) | −6.87549 | − | 1.21234i | −0.261556 | − | 0.0461194i | 0.0413322 | − | 0.999145i | \(-0.486840\pi\) |
−0.302888 | + | 0.953026i | \(0.597951\pi\) | |||||||
\(692\) | −3.58348 | − | 6.20677i | −0.136223 | − | 0.235946i | ||||
\(693\) | −1.35511 | − | 1.09939i | −0.0514765 | − | 0.0417622i | ||||
\(694\) | 2.65350 | − | 4.59600i | 0.100726 | − | 0.174462i | ||||
\(695\) | −7.88445 | + | 9.39632i | −0.299074 | + | 0.356423i | ||||
\(696\) | −16.2885 | + | 1.35092i | −0.617415 | + | 0.0512064i | ||||
\(697\) | 1.88676 | + | 10.7004i | 0.0714663 | + | 0.405305i | ||||
\(698\) | −15.8664 | + | 13.3135i | −0.600552 | + | 0.503923i | ||||
\(699\) | 3.32518 | + | 3.35537i | 0.125770 | + | 0.126912i | ||||
\(700\) | 13.0090 | − | 0.332895i | 0.491692 | − | 0.0125822i | ||||
\(701\) | − | 4.24261i | − | 0.160241i | −0.996785 | − | 0.0801206i | \(-0.974469\pi\) | ||
0.996785 | − | 0.0801206i | \(-0.0255305\pi\) | |||||||
\(702\) | 4.90236 | + | 5.03712i | 0.185028 | + | 0.190114i | ||||
\(703\) | − | 10.9929i | − | 0.414605i | ||||||
\(704\) | 0.0897175 | + | 0.246497i | 0.00338135 | + | 0.00929020i | ||||
\(705\) | −15.1008 | − | 4.11947i | −0.568728 | − | 0.155148i | ||||
\(706\) | 6.24451 | + | 7.44192i | 0.235015 | + | 0.280080i | ||||
\(707\) | −0.384886 | + | 2.56488i | −0.0144751 | + | 0.0964622i | ||||
\(708\) | 11.2003 | − | 23.7384i | 0.420932 | − | 0.892142i | ||||
\(709\) | 20.5679 | + | 17.2586i | 0.772445 | + | 0.648159i | 0.941334 | − | 0.337477i | \(-0.109573\pi\) |
−0.168889 | + | 0.985635i | \(0.554018\pi\) | |||||||
\(710\) | 6.28148 | − | 10.8798i | 0.235740 | − | 0.408313i | ||||
\(711\) | 16.4226 | − | 19.2162i | 0.615894 | − | 0.720664i | ||||
\(712\) | 14.5268 | − | 8.38702i | 0.544413 | − | 0.314317i | ||||
\(713\) | 2.94121 | − | 16.6804i | 0.110149 | − | 0.624687i | ||||
\(714\) | −0.319569 | − | 2.93837i | −0.0119596 | − | 0.109966i | ||||
\(715\) | 0.543570 | + | 0.197843i | 0.0203283 | + | 0.00739891i | ||||
\(716\) | 8.31204 | − | 22.8371i | 0.310635 | − | 0.853464i | ||||
\(717\) | 30.2644 | − | 42.8090i | 1.13024 | − | 1.59873i | ||||
\(718\) | −3.05074 | + | 17.3016i | −0.113853 | + | 0.645691i | ||||
\(719\) | 18.0874 | + | 31.3282i | 0.674545 | + | 1.16835i | 0.976602 | + | 0.215057i | \(0.0689936\pi\) |
−0.302056 | + | 0.953290i | \(0.597673\pi\) | |||||||
\(720\) | −4.86357 | + | 2.74968i | −0.181255 | + | 0.102474i | ||||
\(721\) | 23.4218 | + | 26.5053i | 0.872272 | + | 0.987108i | ||||
\(722\) | −2.94115 | + | 3.50512i | −0.109458 | + | 0.130447i | ||||
\(723\) | −34.9197 | + | 24.2166i | −1.29868 | + | 0.900625i | ||||
\(724\) | −8.37755 | + | 1.47719i | −0.311349 | + | 0.0548992i | ||||
\(725\) | −8.05623 | − | 9.60105i | −0.299201 | − | 0.356574i | ||||
\(726\) | −12.5924 | + | 3.31322i | −0.467349 | + | 0.122965i | ||||
\(727\) | −6.90637 | − | 18.9751i | −0.256143 | − | 0.703748i | −0.999396 | − | 0.0347375i | \(-0.988940\pi\) |
0.743253 | − | 0.669010i | \(-0.233282\pi\) | |||||||
\(728\) | −11.9744 | − | 4.01450i | −0.443799 | − | 0.148787i | ||||
\(729\) | −0.731993 | + | 26.9901i | −0.0271109 | + | 0.999632i | ||||
\(730\) | 8.13027 | 0.300915 | ||||||||
\(731\) | 1.33138 | − | 0.484583i | 0.0492429 | − | 0.0179230i | ||||
\(732\) | −24.0957 | + | 6.33985i | −0.890602 | + | 0.234328i | ||||
\(733\) | −0.867738 | − | 1.03413i | −0.0320506 | − | 0.0381965i | 0.749781 | − | 0.661686i | \(-0.230159\pi\) |
−0.781832 | + | 0.623490i | \(0.785714\pi\) | |||||||
\(734\) | −2.10441 | − | 11.9347i | −0.0776753 | − | 0.440518i | ||||
\(735\) | 0.657347 | − | 16.1750i | 0.0242466 | − | 0.596624i | ||||
\(736\) | −8.13022 | − | 6.82207i | −0.299684 | − | 0.251465i | ||||
\(737\) | −1.29007 | − | 0.744820i | −0.0475202 | − | 0.0274358i | ||||
\(738\) | −11.7200 | − | 20.7300i | −0.431418 | − | 0.763083i | ||||
\(739\) | 8.05469 | + | 13.9511i | 0.296297 | + | 0.513201i | 0.975286 | − | 0.220948i | \(-0.0709150\pi\) |
−0.678989 | + | 0.734148i | \(0.737582\pi\) | |||||||
\(740\) | 1.10948 | − | 6.29217i | 0.0407853 | − | 0.231305i | ||||
\(741\) | 9.78824 | + | 6.91993i | 0.359580 | + | 0.254210i | ||||
\(742\) | 5.35699 | + | 4.26636i | 0.196661 | + | 0.156623i | ||||
\(743\) | −10.0891 | + | 27.7195i | −0.370132 | + | 1.01693i | 0.605178 | + | 0.796090i | \(0.293102\pi\) |
−0.975310 | + | 0.220840i | \(0.929120\pi\) | |||||||
\(744\) | −35.2832 | + | 16.2591i | −1.29355 | + | 0.596089i | ||||
\(745\) | −20.0177 | − | 3.52965i | −0.733390 | − | 0.129316i | ||||
\(746\) | −3.45963 | + | 1.99742i | −0.126666 | + | 0.0731307i | ||||
\(747\) | −33.5417 | + | 39.2475i | −1.22723 | + | 1.43599i | ||||
\(748\) | −0.273495 | − | 0.157902i | −0.00999995 | − | 0.00577348i | ||||
\(749\) | −42.2498 | + | 25.8561i | −1.54377 | + | 0.944761i | ||||
\(750\) | 11.7975 | + | 5.56632i | 0.430785 | + | 0.203253i | ||||
\(751\) | −1.81313 | − | 10.2828i | −0.0661622 | − | 0.375224i | −0.999853 | − | 0.0171442i | \(-0.994543\pi\) |
0.933691 | − | 0.358080i | \(-0.116569\pi\) | |||||||
\(752\) | 7.23188 | − | 6.06827i | 0.263720 | − | 0.221287i | ||||
\(753\) | −40.3143 | − | 10.9977i | −1.46913 | − | 0.400778i | ||||
\(754\) | 1.80234 | + | 4.95189i | 0.0656374 | + | 0.180337i | ||||
\(755\) | −15.0503 | −0.547737 | ||||||||
\(756\) | −9.11082 | − | 18.9401i | −0.331357 | − | 0.688845i | ||||
\(757\) | 28.0501 | 1.01950 | 0.509749 | − | 0.860323i | \(-0.329738\pi\) | ||||
0.509749 | + | 0.860323i | \(0.329738\pi\) | |||||||
\(758\) | −6.58137 | − | 18.0822i | −0.239046 | − | 0.656774i | ||||
\(759\) | −0.494750 | + | 0.490298i | −0.0179583 | + | 0.0177967i | ||||
\(760\) | 8.70135 | − | 7.30130i | 0.315631 | − | 0.264846i | ||||
\(761\) | −4.79778 | − | 27.2096i | −0.173919 | − | 0.986346i | −0.939384 | − | 0.342867i | \(-0.888602\pi\) |
0.765464 | − | 0.643478i | \(-0.222509\pi\) | |||||||
\(762\) | 0.0943211 | + | 1.13726i | 0.00341689 | + | 0.0411987i | ||||
\(763\) | −7.23743 | − | 11.8262i | −0.262013 | − | 0.428138i | ||||
\(764\) | 2.42584 | + | 1.40056i | 0.0877638 | + | 0.0506704i | ||||
\(765\) | −1.31916 | + | 3.52492i | −0.0476945 | + | 0.127444i | ||||
\(766\) | 0.694392 | − | 0.400908i | 0.0250894 | − | 0.0144854i | ||||
\(767\) | −19.2371 | − | 3.39202i | −0.694611 | − | 0.122479i | ||||
\(768\) | −1.55416 | + | 16.8849i | −0.0560808 | + | 0.609282i | ||||
\(769\) | 13.9253 | − | 38.2594i | 0.502159 | − | 1.37967i | −0.387004 | − | 0.922078i | \(-0.626490\pi\) |
0.889162 | − | 0.457592i | \(-0.151288\pi\) | |||||||
\(770\) | 0.417021 | + | 0.332120i | 0.0150284 | + | 0.0119688i | ||||
\(771\) | −1.86406 | + | 20.2519i | −0.0671326 | + | 0.729353i | ||||
\(772\) | 0.0308230 | − | 0.174806i | 0.00110934 | − | 0.00629140i | ||||
\(773\) | 10.5422 | + | 18.2596i | 0.379176 | + | 0.656752i | 0.990943 | − | 0.134286i | \(-0.0428742\pi\) |
−0.611767 | + | 0.791038i | \(0.709541\pi\) | |||||||
\(774\) | −2.39670 | + | 1.97443i | −0.0861475 | + | 0.0709695i | ||||
\(775\) | −25.7993 | − | 14.8952i | −0.926739 | − | 0.535053i | ||||
\(776\) | 8.34472 | + | 7.00205i | 0.299558 | + | 0.251359i | ||||
\(777\) | 13.9302 | + | 3.41979i | 0.499742 | + | 0.122684i | ||||
\(778\) | 2.71878 | + | 15.4190i | 0.0974732 | + | 0.552798i | ||||
\(779\) | −26.1051 | − | 31.1109i | −0.935314 | − | 1.11466i | ||||
\(780\) | 4.90423 | + | 4.94876i | 0.175600 | + | 0.177194i | ||||
\(781\) | 2.83173 | − | 1.03066i | 0.101327 | − | 0.0368801i | ||||
\(782\) | −1.17982 | −0.0421901 | ||||||||
\(783\) | −8.80270 | + | 18.2281i | −0.314583 | + | 0.651420i | ||||
\(784\) | 7.79063 | + | 5.88523i | 0.278237 | + | 0.210187i | ||||
\(785\) | −5.74508 | − | 15.7845i | −0.205051 | − | 0.563372i | ||||
\(786\) | 1.53114 | − | 5.61272i | 0.0546140 | − | 0.200199i | ||||
\(787\) | −9.72249 | − | 11.5868i | −0.346569 | − | 0.413025i | 0.564399 | − | 0.825502i | \(-0.309108\pi\) |
−0.910968 | + | 0.412477i | \(0.864664\pi\) | |||||||
\(788\) | −23.5532 | + | 4.15306i | −0.839048 | + | 0.147947i | ||||
\(789\) | 30.9800 | + | 14.6170i | 1.10292 | + | 0.520380i | ||||
\(790\) | −4.96401 | + | 5.91588i | −0.176612 | + | 0.210477i | ||||
\(791\) | 14.3662 | + | 16.2576i | 0.510804 | + | 0.578053i | ||||
\(792\) | 1.57078 | + | 0.291633i | 0.0558152 | + | 0.0103627i | ||||
\(793\) | 9.27121 | + | 16.0582i | 0.329230 | + | 0.570244i | ||||
\(794\) | −1.80123 | + | 10.2153i | −0.0639234 | + | 0.362527i | ||||
\(795\) | −3.64963 | − | 7.91991i | −0.129439 | − | 0.280890i | ||||
\(796\) | 5.03154 | − | 13.8240i | 0.178338 | − | 0.489980i | ||||
\(797\) | −21.7035 | − | 7.89942i | −0.768776 | − | 0.279812i | −0.0722918 | − | 0.997384i | \(-0.523031\pi\) |
−0.696484 | + | 0.717572i | \(0.745254\pi\) | |||||||
\(798\) | 6.52590 | + | 8.91425i | 0.231014 | + | 0.315561i | ||||
\(799\) | 1.10433 | − | 6.26295i | 0.0390683 | − | 0.221567i | ||||
\(800\) | −16.1659 | + | 9.33341i | −0.571552 | + | 0.329986i | ||||
\(801\) | 0.187758 | − | 20.7735i | 0.00663409 | − | 0.733997i | ||||
\(802\) | −1.32971 | + | 2.30312i | −0.0469536 | + | 0.0813260i | ||||
\(803\) | 1.49394 | + | 1.25356i | 0.0527200 | + | 0.0442373i | ||||
\(804\) | −10.2246 | − | 14.7435i | −0.360592 | − | 0.519964i | ||||
\(805\) | −6.39031 | − | 0.958931i | −0.225229 | − | 0.0337979i | ||||
\(806\) | 8.05130 | + | 9.59516i | 0.283595 | + | 0.337975i | ||||
\(807\) | 7.54820 | + | 28.6882i | 0.265709 | + | 1.00987i | ||||
\(808\) | −0.812149 | − | 2.23136i | −0.0285713 | − | 0.0784990i | ||||
\(809\) | − | 28.4204i | − | 0.999209i | −0.866254 | − | 0.499604i | \(-0.833479\pi\) | ||
0.866254 | − | 0.499604i | \(-0.166521\pi\) | |||||||
\(810\) | 0.149098 | − | 8.24746i | 0.00523878 | − | 0.289786i | ||||
\(811\) | 19.4101i | 0.681580i | 0.940139 | + | 0.340790i | \(0.110695\pi\) | ||||
−0.940139 | + | 0.340790i | \(0.889305\pi\) | |||||||
\(812\) | −0.403088 | − | 15.7520i | −0.0141456 | − | 0.552787i | ||||
\(813\) | 27.7193 | − | 7.29327i | 0.972159 | − | 0.255786i | ||||
\(814\) | −0.361855 | + | 0.303633i | −0.0126830 | + | 0.0106423i | ||||
\(815\) | −3.59269 | − | 20.3752i | −0.125846 | − | 0.713711i | ||||
\(816\) | −1.29359 | − | 1.86533i | −0.0452848 | − | 0.0652995i | ||||
\(817\) | −3.40405 | + | 4.05678i | −0.119092 | + | 0.141929i | ||||
\(818\) | −8.10897 | + | 14.0451i | −0.283523 | + | 0.491077i | ||||
\(819\) | −11.8139 | + | 10.2509i | −0.412813 | + | 0.358196i | ||||
\(820\) | −11.8023 | − | 20.4421i | −0.412153 | − | 0.713870i | ||||
\(821\) | 20.0727 | + | 3.53937i | 0.700544 | + | 0.123525i | 0.512565 | − | 0.858648i | \(-0.328695\pi\) |
0.187979 | + | 0.982173i | \(0.439806\pi\) | |||||||
\(822\) | 11.2968 | + | 7.98641i | 0.394021 | + | 0.278558i | ||||
\(823\) | 16.5465 | + | 6.02243i | 0.576774 | + | 0.209929i | 0.613903 | − | 0.789382i | \(-0.289599\pi\) |
−0.0371281 | + | 0.999311i | \(0.511821\pi\) | |||||||
\(824\) | −30.4309 | − | 11.0759i | −1.06011 | − | 0.385849i | ||||
\(825\) | 0.512723 | + | 1.11264i | 0.0178507 | + | 0.0387371i | ||||
\(826\) | −15.8160 | − | 8.59959i | −0.550309 | − | 0.299218i | ||||
\(827\) | −15.2517 | + | 8.80555i | −0.530352 | + | 0.306199i | −0.741160 | − | 0.671329i | \(-0.765724\pi\) |
0.210808 | + | 0.977528i | \(0.432391\pi\) | |||||||
\(828\) | −7.90915 | + | 2.79800i | −0.274862 | + | 0.0972373i | ||||
\(829\) | 35.2758 | + | 20.3665i | 1.22518 | + | 0.707357i | 0.966017 | − | 0.258477i | \(-0.0832206\pi\) |
0.259161 | + | 0.965834i | \(0.416554\pi\) | |||||||
\(830\) | 10.1386 | − | 12.0827i | 0.351915 | − | 0.419396i | ||||
\(831\) | 12.7349 | − | 26.9909i | 0.441768 | − | 0.936305i | ||||
\(832\) | 2.31557 | − | 0.408297i | 0.0802778 | − | 0.0141551i | ||||
\(833\) | 6.56864 | − | 0.336399i | 0.227590 | − | 0.0116555i | ||||
\(834\) | 10.5375 | + | 2.87461i | 0.364883 | + | 0.0995397i | ||||
\(835\) | 27.8909 | − | 10.1514i | 0.965203 | − | 0.351305i | ||||
\(836\) | 1.18040 | 0.0408250 | ||||||||
\(837\) | −4.84283 | + | 47.8699i | −0.167393 | + | 1.65463i | ||||
\(838\) | 14.4685i | 0.499806i | ||||||||
\(839\) | 48.4147 | − | 17.6215i | 1.67146 | − | 0.608362i | 0.679361 | − | 0.733804i | \(-0.262257\pi\) |
0.992101 | + | 0.125442i | \(0.0400348\pi\) | |||||||
\(840\) | 6.54528 | + | 13.2977i | 0.225834 | + | 0.458814i | ||||
\(841\) | 10.5898 | − | 8.88589i | 0.365165 | − | 0.306410i | ||||
\(842\) | −10.4608 | + | 1.84451i | −0.360501 | + | 0.0635661i | ||||
\(843\) | −2.05225 | − | 24.7448i | −0.0706834 | − | 0.852256i | ||||
\(844\) | 16.2713 | + | 13.6533i | 0.560082 | + | 0.469965i | ||||
\(845\) | −6.08626 | + | 10.5417i | −0.209374 | + | 0.362646i | ||||
\(846\) | 2.29618 | + | 13.7478i | 0.0789444 | + | 0.472657i | ||||
\(847\) | −5.75984 | − | 28.3971i | −0.197911 | − | 0.975737i | ||||
\(848\) | 5.17961 | + | 0.913305i | 0.177869 | + | 0.0313630i | ||||
\(849\) | −24.0106 | − | 2.21003i | −0.824041 | − | 0.0758481i | ||||
\(850\) | −0.709721 | + | 1.94994i | −0.0243432 | + | 0.0668825i | ||||
\(851\) | 1.95826 | − | 5.38028i | 0.0671283 | − | 0.184433i | ||||
\(852\) | 36.1428 | + | 3.32673i | 1.23823 | + | 0.113972i | ||||
\(853\) | −34.7100 | − | 6.12032i | −1.18845 | − | 0.209556i | −0.455750 | − | 0.890108i | \(-0.650629\pi\) |
−0.732700 | + | 0.680552i | \(0.761740\pi\) | |||||||
\(854\) | 3.39702 | + | 16.7480i | 0.116244 | + | 0.573104i | ||||
\(855\) | −2.31752 | − | 13.8755i | −0.0792575 | − | 0.474532i | ||||
\(856\) | 22.6753 | − | 39.2747i | 0.775024 | − | 1.34238i | ||||
\(857\) | 11.0923 | + | 9.30753i | 0.378905 | + | 0.317939i | 0.812272 | − | 0.583278i | \(-0.198230\pi\) |
−0.433367 | + | 0.901217i | \(0.642675\pi\) | |||||||
\(858\) | −0.0425744 | − | 0.513335i | −0.00145347 | − | 0.0175250i | ||||
\(859\) | 25.8833 | − | 4.56392i | 0.883125 | − | 0.155719i | 0.286348 | − | 0.958126i | \(-0.407559\pi\) |
0.596777 | + | 0.802407i | \(0.296448\pi\) | |||||||
\(860\) | −2.35786 | + | 1.97848i | −0.0804025 | + | 0.0674657i | ||||
\(861\) | 47.5447 | − | 23.4021i | 1.62032 | − | 0.797540i | ||||
\(862\) | 14.8236 | − | 5.39535i | 0.504894 | − | 0.183766i | ||||
\(863\) | − | 30.3370i | − | 1.03269i | −0.856382 | − | 0.516343i | \(-0.827293\pi\) | ||
0.856382 | − | 0.516343i | \(-0.172707\pi\) | |||||||
\(864\) | 24.4595 | + | 17.6257i | 0.832131 | + | 0.599639i | ||||
\(865\) | 6.25936 | 0.212824 | ||||||||
\(866\) | 15.8786 | − | 5.77935i | 0.539578 | − | 0.196390i | ||||
\(867\) | 26.9316 | + | 7.34690i | 0.914644 | + | 0.249514i | ||||
\(868\) | −13.7059 | − | 34.8554i | −0.465210 | − | 1.18307i | ||||
\(869\) | −1.82428 | + | 0.321669i | −0.0618843 | + | 0.0109119i | ||||
\(870\) | 2.63888 | − | 5.59298i | 0.0894665 | − | 0.189620i | ||||
\(871\) | −8.58280 | + | 10.2286i | −0.290817 | + | 0.346582i | ||||
\(872\) | 10.9935 | + | 6.34707i | 0.372285 | + | 0.214939i | ||||
\(873\) | 12.7187 | − | 4.49947i | 0.430463 | − | 0.152284i | ||||
\(874\) | 3.81906 | − | 2.20493i | 0.129182 | − | 0.0745830i | ||||
\(875\) | −13.8663 | + | 25.5022i | −0.468765 | + | 0.862133i | ||||
\(876\) | 9.83064 | + | 21.3330i | 0.332146 | + | 0.720776i | ||||
\(877\) | 9.84932 | + | 3.58486i | 0.332588 | + | 0.121052i | 0.502916 | − | 0.864335i | \(-0.332261\pi\) |
−0.170328 | + | 0.985387i | \(0.554483\pi\) | |||||||
\(878\) | −12.4602 | − | 4.53515i | −0.420512 | − | 0.153054i | ||||
\(879\) | −17.0752 | − | 12.0715i | −0.575931 | − | 0.407163i | ||||
\(880\) | 0.403213 | + | 0.0710973i | 0.0135923 | + | 0.00239669i | ||||
\(881\) | 11.9814 | + | 20.7524i | 0.403664 | + | 0.699166i | 0.994165 | − | 0.107871i | \(-0.0344033\pi\) |
−0.590501 | + | 0.807037i | \(0.701070\pi\) | |||||||
\(882\) | −13.3263 | + | 5.49647i | −0.448719 | + | 0.185076i | ||||
\(883\) | −4.74787 | + | 8.22356i | −0.159779 | + | 0.276745i | −0.934789 | − | 0.355204i | \(-0.884411\pi\) |
0.775010 | + | 0.631949i | \(0.217745\pi\) | |||||||
\(884\) | −1.81956 | + | 2.16847i | −0.0611984 | + | 0.0729334i | ||||
\(885\) | 13.0637 | + | 18.8375i | 0.439130 | + | 0.633214i | ||||
\(886\) | −2.38701 | − | 13.5374i | −0.0801933 | − | 0.454799i | ||||
\(887\) | 7.75777 | − | 6.50955i | 0.260481 | − | 0.218569i | −0.503189 | − | 0.864176i | \(-0.667840\pi\) |
0.763670 | + | 0.645607i | \(0.223396\pi\) | |||||||
\(888\) | −12.7002 | + | 3.34157i | −0.426191 | + | 0.112136i | ||||
\(889\) | −2.53859 | + | 0.0649616i | −0.0851415 | + | 0.00217874i | ||||
\(890\) | 6.34681i | 0.212746i | ||||||||
\(891\) | 1.29903 | − | 1.49248i | 0.0435191 | − | 0.0500001i | ||||
\(892\) | − | 27.7427i | − | 0.928896i | ||||||
\(893\) | 8.12999 | + | 22.3370i | 0.272060 | + | 0.747478i | ||||
\(894\) | 4.60561 | + | 17.5044i | 0.154035 | + | 0.585434i | ||||
\(895\) | 13.6433 | + | 16.2594i | 0.456044 | + | 0.543492i | ||||
\(896\) | −28.2188 | − | 4.23453i | −0.942725 | − | 0.141466i | ||||
\(897\) | 3.55797 | + | 5.13050i | 0.118797 | + | 0.171302i | ||||
\(898\) | 6.34976 | + | 5.32808i | 0.211894 | + | 0.177800i | ||||
\(899\) | −18.0360 | + | 31.2393i | −0.601535 | + | 1.04189i | ||||
\(900\) | −0.133360 | + | 14.7550i | −0.00444534 | + | 0.491833i | ||||
\(901\) | 3.06836 | − | 1.77152i | 0.102222 | − | 0.0590178i | ||||
\(902\) | −0.303038 | + | 1.71862i | −0.0100901 | + | 0.0572237i | ||||
\(903\) | −4.08178 | − | 5.57563i | −0.135833 | − | 0.185545i | ||||
\(904\) | −18.6654 | − | 6.79366i | −0.620803 | − | 0.225954i | ||||
\(905\) | 2.54104 | − | 6.98145i | 0.0844671 | − | 0.232071i | ||||
\(906\) | 5.60893 | + | 12.1717i | 0.186344 | + | 0.404377i | ||||
\(907\) | 1.43669 | − | 8.14786i | 0.0477044 | − | 0.270545i | −0.951621 | − | 0.307275i | \(-0.900583\pi\) |
0.999325 | + | 0.0367297i | \(0.0116940\pi\) | |||||||
\(908\) | 19.7687 | + | 34.2405i | 0.656048 | + | 1.13631i | ||||
\(909\) | −2.89145 | − | 0.536830i | −0.0959033 | − | 0.0178055i | ||||
\(910\) | 3.58084 | − | 3.16426i | 0.118704 | − | 0.104894i | ||||
\(911\) | 29.3546 | − | 34.9835i | 0.972562 | − | 1.15905i | −0.0146900 | − | 0.999892i | \(-0.504676\pi\) |
0.987252 | − | 0.159163i | \(-0.0508794\pi\) | |||||||
\(912\) | 7.67343 | + | 3.62048i | 0.254093 | + | 0.119886i | ||||
\(913\) | 3.72593 | − | 0.656981i | 0.123310 | − | 0.0217429i | ||||
\(914\) | −7.86230 | − | 9.36992i | −0.260062 | − | 0.309929i | ||||
\(915\) | 5.72696 | − | 20.9934i | 0.189327 | − | 0.694019i | ||||
\(916\) | 5.66902 | + | 15.5755i | 0.187310 | + | 0.514629i | ||||
\(917\) | 12.2748 | + | 4.11523i | 0.405350 | + | 0.135897i | ||||
\(918\) | 3.34234 | − | 0.246809i | 0.110314 | − | 0.00814592i | ||||
\(919\) | 30.8173 | 1.01657 | 0.508285 | − | 0.861189i | \(-0.330280\pi\) | ||||
0.508285 | + | 0.861189i | \(0.330280\pi\) | |||||||
\(920\) | 5.55936 | − | 2.02344i | 0.183287 | − | 0.0667109i | ||||
\(921\) | −27.4778 | − | 27.7273i | −0.905424 | − | 0.913644i | ||||
\(922\) | −5.20909 | − | 6.20796i | −0.171552 | − | 0.204448i | ||||
\(923\) | −4.69047 | − | 26.6010i | −0.154389 | − | 0.875582i | ||||
\(924\) | −0.367212 | + | 1.49580i | −0.0120804 | + | 0.0492082i | ||||
\(925\) | −7.71426 | − | 6.47303i | −0.253643 | − | 0.212832i | ||||
\(926\) | 4.48220 | + | 2.58780i | 0.147294 | + | 0.0850403i | ||||
\(927\) | −30.9555 | + | 25.5015i | −1.01671 | + | 0.837580i | ||||
\(928\) | 11.3014 | + | 19.5746i | 0.370988 | + | 0.642569i | ||||
\(929\) | 2.61616 | − | 14.8370i | 0.0858334 | − | 0.486786i | −0.911340 | − | 0.411654i | \(-0.864951\pi\) |
0.997174 | − | 0.0751316i | \(-0.0239377\pi\) | |||||||
\(930\) | 1.34730 | − | 14.6376i | 0.0441798 | − | 0.479985i | ||||
\(931\) | −20.6340 | + | 13.3649i | −0.676251 | + | 0.438017i | ||||
\(932\) | 1.42608 | − | 3.91812i | 0.0467127 | − | 0.128342i | ||||
\(933\) | −0.415940 | + | 4.51892i | −0.0136173 | + | 0.147943i | ||||
\(934\) | 7.50069 | + | 1.32257i | 0.245430 | + | 0.0432759i | ||||
\(935\) | 0.238860 | − | 0.137906i | 0.00781156 | − | 0.00451000i | ||||
\(936\) | 5.01928 | − | 13.4119i | 0.164060 | − | 0.438383i | ||||
\(937\) | 3.52097 | + | 2.03283i | 0.115025 | + | 0.0664097i | 0.556409 | − | 0.830909i | \(-0.312179\pi\) |
−0.441384 | + | 0.897318i | \(0.645512\pi\) | |||||||
\(938\) | −10.4963 | + | 6.42354i | −0.342716 | + | 0.209736i | ||||
\(939\) | 0.829621 | + | 10.0030i | 0.0270737 | + | 0.326437i | ||||
\(940\) | 2.39908 | + | 13.6059i | 0.0782495 | + | 0.443775i | ||||
\(941\) | 7.66760 | − | 6.43388i | 0.249957 | − | 0.209738i | −0.509197 | − | 0.860650i | \(-0.670058\pi\) |
0.759154 | + | 0.650912i | \(0.225613\pi\) | |||||||
\(942\) | −10.6244 | + | 10.5288i | −0.346161 | + | 0.343046i | ||||
\(943\) | −7.23464 | − | 19.8770i | −0.235592 | − | 0.647285i | ||||
\(944\) | −13.8262 | −0.450003 | ||||||||
\(945\) | 18.3040 | + | 1.37978i | 0.595428 | + | 0.0448844i | ||||
\(946\) | 0.227560 | 0.00739863 | ||||||||
\(947\) | −17.9748 | − | 49.3853i | −0.584102 | − | 1.60481i | −0.781102 | − | 0.624403i | \(-0.785342\pi\) |
0.197001 | − | 0.980403i | \(-0.436880\pi\) | |||||||
\(948\) | −21.5249 | − | 5.87195i | −0.699095 | − | 0.190712i | ||||
\(949\) | 13.3910 | − | 11.2364i | 0.434691 | − | 0.364749i | ||||
\(950\) | −1.34684 | − | 7.63833i | −0.0436974 | − | 0.247820i | ||||
\(951\) | −23.1802 | − | 10.9369i | −0.751670 | − | 0.354654i | ||||
\(952\) | −5.13630 | + | 3.14332i | −0.166468 | + | 0.101876i | ||||
\(953\) | 40.6849 | + | 23.4895i | 1.31791 | + | 0.760898i | 0.983393 | − | 0.181490i | \(-0.0580920\pi\) |
0.334521 | + | 0.942388i | \(0.391425\pi\) | |||||||
\(954\) | −5.04496 | + | 5.90316i | −0.163337 | + | 0.191122i | ||||
\(955\) | −2.11864 | + | 1.22320i | −0.0685575 | + | 0.0395817i | ||||
\(956\) | −45.5714 | − | 8.03546i | −1.47388 | − | 0.259885i | ||||
\(957\) | 1.34725 | − | 0.620835i | 0.0435503 | − | 0.0200687i | ||||
\(958\) | 0.105623 | − | 0.290197i | 0.00341253 | − | 0.00937585i | ||||
\(959\) | −19.1792 | + | 24.0821i | −0.619328 | + | 0.777651i | ||||
\(960\) | −2.25316 | − | 1.59290i | −0.0727204 | − | 0.0514107i | ||||
\(961\) | −9.50550 | + | 53.9084i | −0.306629 | + | 1.73898i | ||||
\(962\) | 2.11705 | + | 3.66684i | 0.0682565 | + | 0.118224i | ||||
\(963\) | −27.6422 | − | 48.8929i | −0.890757 | − | 1.57555i | ||||
\(964\) | 32.4832 | + | 18.7542i | 1.04621 | + | 0.604031i | ||||
\(965\) | 0.118755 | + | 0.0996476i | 0.00382287 | + | 0.00320777i | ||||
\(966\) | 1.60601 | + | 5.52544i | 0.0516726 | + | 0.177778i | ||||
\(967\) | 1.24818 | + | 7.07876i | 0.0401386 | + | 0.227638i | 0.998278 | − | 0.0586658i | \(-0.0186846\pi\) |
−0.958139 | + | 0.286303i | \(0.907574\pi\) | |||||||
\(968\) | 17.0521 | + | 20.3219i | 0.548076 | + | 0.653172i | ||||
\(969\) | 5.52750 | − | 1.45435i | 0.177569 | − | 0.0467204i | ||||
\(970\) | −3.87312 | + | 1.40970i | −0.124359 | + | 0.0452628i | ||||
\(971\) | −13.7938 | −0.442663 | −0.221331 | − | 0.975199i | \(-0.571040\pi\) | ||||
−0.221331 | + | 0.975199i | \(0.571040\pi\) | |||||||
\(972\) | 21.8208 | − | 9.58111i | 0.699902 | − | 0.307314i | ||||
\(973\) | −7.72605 | + | 23.0451i | −0.247686 | + | 0.738791i | ||||
\(974\) | 5.72100 | + | 15.7183i | 0.183313 | + | 0.503648i | ||||
\(975\) | 10.6197 | − | 2.79418i | 0.340104 | − | 0.0894853i | ||||
\(976\) | 8.43622 | + | 10.0539i | 0.270037 | + | 0.321817i | ||||
\(977\) | −12.3023 | + | 2.16922i | −0.393584 | + | 0.0693996i | −0.366938 | − | 0.930245i | \(-0.619594\pi\) |
−0.0266464 | + | 0.999645i | \(0.508483\pi\) | |||||||
\(978\) | −15.1392 | + | 10.4989i | −0.484097 | + | 0.335718i | ||||
\(979\) | −0.978581 | + | 1.16623i | −0.0312756 | + | 0.0372728i | ||||
\(980\) | −13.1594 | + | 5.56736i | −0.420363 | + | 0.177843i | ||||
\(981\) | 13.6857 | − | 7.73738i | 0.436951 | − | 0.247035i | ||||
\(982\) | −4.41271 | − | 7.64304i | −0.140815 | − | 0.243899i | ||||
\(983\) | 5.29506 | − | 30.0298i | 0.168886 | − | 0.957801i | −0.776081 | − | 0.630634i | \(-0.782795\pi\) |
0.944967 | − | 0.327167i | \(-0.106094\pi\) | |||||||
\(984\) | −28.0074 | + | 39.6165i | −0.892844 | + | 1.26293i | ||||
\(985\) | 7.14405 | − | 19.6281i | 0.227628 | − | 0.625404i | ||||
\(986\) | 2.36110 | + | 0.859371i | 0.0751928 | + | 0.0273679i | ||||
\(987\) | −30.8345 | + | 3.35348i | −0.981474 | + | 0.106742i | ||||
\(988\) | 1.83730 | − | 10.4198i | 0.0584523 | − | 0.331500i | ||||
\(989\) | −2.38872 | + | 1.37913i | −0.0759569 | + | 0.0438537i | ||||
\(990\) | −0.392731 | + | 0.459538i | −0.0124818 | + | 0.0146051i | ||||
\(991\) | −26.4504 | + | 45.8134i | −0.840224 | + | 1.45531i | 0.0494806 | + | 0.998775i | \(0.484243\pi\) |
−0.889705 | + | 0.456536i | \(0.849090\pi\) | |||||||
\(992\) | 41.1557 | + | 34.5337i | 1.30670 | + | 1.09645i | ||||
\(993\) | −7.60148 | + | 16.1110i | −0.241226 | + | 0.511266i | ||||
\(994\) | 3.69425 | − | 24.6185i | 0.117175 | − | 0.780850i | ||||
\(995\) | 8.25869 | + | 9.84233i | 0.261818 | + | 0.312023i | ||||
\(996\) | 43.9627 | + | 11.9930i | 1.39301 | + | 0.380011i | ||||
\(997\) | 12.3634 | + | 33.9682i | 0.391553 | + | 1.07578i | 0.966293 | + | 0.257446i | \(0.0828811\pi\) |
−0.574740 | + | 0.818336i | \(0.694897\pi\) | |||||||
\(998\) | − | 20.2352i | − | 0.640534i | ||||||
\(999\) | −4.42211 | + | 15.6516i | −0.139909 | + | 0.495196i |
(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 | 189.2.be.a.20.10 | yes | 132 | |
3.2 | odd | 2 | 567.2.be.a.62.13 | 132 | |||
7.6 | odd | 2 | inner | 189.2.be.a.20.9 | ✓ | 132 | |
21.20 | even | 2 | 567.2.be.a.62.14 | 132 | |||
27.4 | even | 9 | 567.2.be.a.503.14 | 132 | |||
27.23 | odd | 18 | inner | 189.2.be.a.104.9 | yes | 132 | |
189.104 | even | 18 | inner | 189.2.be.a.104.10 | yes | 132 | |
189.139 | odd | 18 | 567.2.be.a.503.13 | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.be.a.20.9 | ✓ | 132 | 7.6 | odd | 2 | inner | |
189.2.be.a.20.10 | yes | 132 | 1.1 | even | 1 | trivial | |
189.2.be.a.104.9 | yes | 132 | 27.23 | odd | 18 | inner | |
189.2.be.a.104.10 | yes | 132 | 189.104 | even | 18 | inner | |
567.2.be.a.62.13 | 132 | 3.2 | odd | 2 | |||
567.2.be.a.62.14 | 132 | 21.20 | even | 2 | |||
567.2.be.a.503.13 | 132 | 189.139 | odd | 18 | |||
567.2.be.a.503.14 | 132 | 27.4 | even | 9 |