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 | 20.9 | ||
Character | \(\chi\) | \(=\) | 189.20 |
Dual form | 189.2.be.a.104.9 |
$q$-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 | \(-0.959050\pi\) |
0.888048 | − | 0.459751i | \(-0.152061\pi\) | |||||||
\(6\) | −0.977005 | + | 0.677547i | −0.398861 | + | 0.276607i | ||||
\(7\) | 2.46223 | + | 0.968204i | 0.930636 | + | 0.365947i | ||||
\(8\) | −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 | −0.997390 | − | 0.0722062i | \(-0.976996\pi\) |
0.810458 | + | 0.585797i | \(0.199218\pi\) | |||||||
\(14\) | 0.0464596 | − | 1.81556i | 0.0124169 | − | 0.485229i | ||||
\(15\) | −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 | 0.917357 | − | 0.398065i | \(-0.130318\pi\) |
−0.803413 | + | 0.595422i | \(0.796985\pi\) | |||||||
\(18\) | 1.56551 | + | 1.33791i | 0.368994 | + | 0.315349i | ||||
\(19\) | −3.04150 | − | 1.75601i | −0.697768 | − | 0.402857i | 0.108747 | − | 0.994069i | \(-0.465316\pi\) |
−0.806516 | + | 0.591213i | \(0.798649\pi\) | |||||||
\(20\) | −1.56368 | − | 1.31208i | −0.349650 | − | 0.293391i | ||||
\(21\) | 0.536621 | − | 4.55105i | 0.117100 | − | 0.993120i | ||||
\(22\) | −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 | \(0.0903156\pi\) |
0.108985 | + | 0.994043i | \(0.465240\pi\) | |||||||
\(32\) | −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 | ||||
\(35\) | 0.702223 | − | 3.46209i | 0.118697 | − | 0.585200i | ||||
\(36\) | −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 | 0.995484 | − | 0.0949267i | \(-0.0302617\pi\) |
0.701567 | + | 0.712603i | \(0.252484\pi\) | |||||||
\(42\) | −3.06162 | + | 0.722337i | −0.472418 | + | 0.111459i | ||||
\(43\) | −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 | 0.180871 | − | 0.983507i | \(-0.442108\pi\) |
−0.937157 | + | 0.348907i | \(0.886553\pi\) | |||||||
\(48\) | −2.40762 | + | 0.199681i | −0.347510 | + | 0.0288214i | ||||
\(49\) | 5.12516 | + | 4.76788i | 0.732166 | + | 0.681126i | ||||
\(50\) | −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 | ||||||
\(56\) | −3.99259 | − | 5.01324i | −0.533532 | − | 0.669922i | ||||
\(57\) | −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 | \(0.167692\pi\) |
−0.640317 | + | 0.768111i | \(0.721197\pi\) | |||||||
\(60\) | −1.50865 | + | 3.19750i | −0.194765 | + | 0.412795i | ||||
\(61\) | 6.04827 | − | 7.20805i | 0.774402 | − | 0.922896i | −0.224264 | − | 0.974528i | \(-0.571998\pi\) |
0.998666 | + | 0.0516319i | \(0.0164423\pi\) | |||||||
\(62\) | 3.17809 | − | 5.50461i | 0.403617 | − | 0.699086i | ||||
\(63\) | −7.85969 | + | 1.10689i | −0.990228 | + | 0.139455i | ||||
\(64\) | 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 | ||||
\(70\) | −2.39807 | + | 0.359855i | −0.286624 | + | 0.0430109i | ||||
\(71\) | 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 | −0.0222170 | − | 0.999753i | \(-0.507072\pi\) |
−0.876920 | + | 0.480636i | \(0.840406\pi\) | |||||||
\(74\) | −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 | ||||
\(77\) | 0.496130 | + | 0.303622i | 0.0565393 | + | 0.0346010i | ||||
\(78\) | −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 | \(0.782320\pi\) |
−0.999898 | + | 0.0142697i | \(0.995458\pi\) | |||||||
\(84\) | −3.84383 | − | 5.85719i | −0.419396 | − | 0.639071i | ||||
\(85\) | 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 | −0.622084 | − | 0.782951i | \(-0.713714\pi\) |
0.989097 | + | 0.147265i | \(0.0470469\pi\) | |||||||
\(90\) | 1.39627 | − | 2.36870i | 0.147179 | − | 0.249683i | ||||
\(91\) | −3.45242 | + | 3.90694i | −0.361912 | + | 0.409559i | ||||
\(92\) | 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 | 0.393897 | − | 0.919155i | \(-0.371127\pi\) |
0.0557722 | + | 0.998444i | \(0.482238\pi\) | |||||||
\(98\) | 1.87223 | − | 4.42535i | 0.189124 | − | 0.447028i | ||||
\(99\) | −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 | 0.604662 | − | 0.796482i | \(-0.293308\pi\) |
−0.679384 | + | 0.733783i | \(0.737753\pi\) | |||||||
\(102\) | −1.01034 | − | 0.476698i | −0.100038 | − | 0.0472001i | ||||
\(103\) | −13.1659 | + | 2.32150i | −1.29727 | + | 0.228744i | −0.779299 | − | 0.626652i | \(-0.784425\pi\) |
−0.517974 | + | 0.855396i | \(0.673314\pi\) | |||||||
\(104\) | 3.65668 | − | 3.06832i | 0.358567 | − | 0.300874i | ||||
\(105\) | −6.10863 | + | 0.349571i | −0.596142 | + | 0.0341146i | ||||
\(106\) | 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 | ||||
\(112\) | 1.92632 | − | 3.14767i | 0.182020 | − | 0.297427i | ||||
\(113\) | 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 | ||||
\(119\) | 0.368914 | + | 2.45844i | 0.0338183 | + | 0.225365i | ||||
\(120\) | 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 | ||||
\(126\) | 2.55927 | + | 4.80998i | 0.227998 | + | 0.428507i | ||||
\(127\) | −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 | −0.791681 | − | 0.610935i | \(-0.790794\pi\) |
0.464179 | + | 0.885741i | \(0.346349\pi\) | |||||||
\(132\) | −0.409776 | − | 0.413496i | −0.0356664 | − | 0.0359902i | ||||
\(133\) | −5.78870 | − | 7.26850i | −0.501944 | − | 0.630259i | ||||
\(134\) | 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 | 0.455082 | − | 0.890449i | \(-0.349610\pi\) |
−0.955946 | + | 0.293544i | \(0.905165\pi\) | |||||||
\(140\) | −2.57978 | − | 4.74462i | −0.218031 | − | 0.400993i | ||||
\(141\) | −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 | ||||
\(147\) | 5.72763 | − | 10.6862i | 0.472407 | − | 0.881381i | ||||
\(148\) | −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 | ||||
\(154\) | 0.0793701 | − | 0.391310i | 0.00639582 | − | 0.0315326i | ||||
\(155\) | 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 | 0.344211 | − | 0.938892i | \(-0.388146\pi\) |
0.644573 | + | 0.764543i | \(0.277035\pi\) | |||||||
\(158\) | 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 | \(0.274037\pi\) |
−0.353040 | + | 0.935608i | \(0.614852\pi\) | |||||||
\(168\) | −6.63775 | + | 8.89720i | −0.512114 | + | 0.686434i | ||||
\(169\) | 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 | \(0.112586\pi\) |
−0.999989 | + | 0.00463414i | \(0.998525\pi\) | |||||||
\(174\) | 3.78205 | + | 2.67377i | 0.286716 | + | 0.202698i | ||||
\(175\) | 8.50928 | + | 0.217750i | 0.643241 | + | 0.0164603i | ||||
\(176\) | 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 | 0.668284 | − | 0.743906i | \(-0.267029\pi\) |
−0.310100 | + | 0.950704i | \(0.600362\pi\) | |||||||
\(182\) | 3.33070 | + | 1.30971i | 0.246888 | + | 0.0970818i | ||||
\(183\) | −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 | ||||||||
\(189\) | 5.31803 | + | 12.6775i | 0.386830 | + | 0.922151i | ||||
\(190\) | 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 | ||||
\(196\) | 10.6876 | + | 0.547341i | 0.763398 | + | 0.0390958i | ||||
\(197\) | −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 | −0.765394 | − | 0.643562i | \(-0.777456\pi\) |
0.174644 | + | 0.984632i | \(0.444122\pi\) | |||||||
\(200\) | −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 | ||||
\(203\) | 0.263664 | − | 10.3035i | 0.0185056 | − | 0.723166i | ||||
\(204\) | 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 | ||||
\(210\) | 1.65966 | + | 3.85827i | 0.114527 | + | 0.266246i | ||||
\(211\) | 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 | −0.998983 | − | 0.0450820i | \(-0.985645\pi\) |
0.217869 | + | 0.975978i | \(0.430090\pi\) | |||||||
\(224\) | −15.0445 | − | 3.05151i | −1.00521 | − | 0.203888i | ||||
\(225\) | −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 | \(-0.615994\pi\) |
0.654462 | − | 0.756095i | \(-0.272895\pi\) | |||||||
\(228\) | 3.89209 | + | 8.44604i | 0.257760 | + | 0.559353i | ||||
\(229\) | 3.70816 | − | 10.1881i | 0.245042 | − | 0.673247i | −0.754809 | − | 0.655945i | \(-0.772270\pi\) |
0.999850 | − | 0.0173016i | \(-0.00550755\pi\) | |||||||
\(230\) | −1.57543 | − | 0.573409i | −0.103881 | − | 0.0378094i | ||||
\(231\) | 0.289924 | − | 0.964852i | 0.0190756 | − | 0.0634826i | ||||
\(232\) | −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 | ||||
\(238\) | 1.49919 | − | 0.815151i | 0.0971781 | − | 0.0528384i | ||||
\(239\) | −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 | \(-0.821086\pi\) |
0.305619 | − | 0.952154i | \(-0.401137\pi\) | |||||||
\(242\) | 7.51769i | 0.483255i | ||||||||
\(243\) | −14.9623 | − | 4.37375i | −0.959832 | − | 0.280576i | ||||
\(244\) | − | 14.3851i | − | 0.920914i | ||||||
\(245\) | 5.08105 | − | 7.84458i | 0.324616 | − | 0.501172i | ||||
\(246\) | −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 | \(-0.557841\pi\) |
0.942124 | − | 0.335264i | \(-0.108826\pi\) | |||||||
\(252\) | −8.11697 | + | 9.01996i | −0.511321 | + | 0.568204i | ||||
\(253\) | 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 | −0.0258727 | − | 0.999665i | \(-0.508236\pi\) |
−0.662392 | + | 0.749157i | \(0.730459\pi\) | |||||||
\(258\) | −0.750325 | − | 1.62825i | −0.0467132 | − | 0.101370i | ||||
\(259\) | −1.22895 | − | 8.18970i | −0.0763631 | − | 0.508883i | ||||
\(260\) | 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 | ||||
\(266\) | −3.32945 | + | 5.44045i | −0.204142 | + | 0.333575i | ||||
\(267\) | −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 | \(-0.674859\pi\) | ||||
−0.522122 | + | 0.852871i | \(0.674859\pi\) | |||||||
\(270\) | −4.58304 | − | 1.29486i | −0.278915 | − | 0.0788028i | ||||
\(271\) | 16.5484i | 1.00525i | 0.864506 | + | 0.502623i | \(0.167632\pi\) | ||||
−0.864506 | + | 0.502623i | \(0.832368\pi\) | |||||||
\(272\) | 1.23154 | − | 0.448244i | 0.0746730 | − | 0.0271788i | ||||
\(273\) | 8.06584 | + | 4.06107i | 0.488167 | + | 0.245787i | ||||
\(274\) | 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 | ||||
\(280\) | −5.66625 | + | 6.41223i | −0.338623 | + | 0.383204i | ||||
\(281\) | −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 | \(-0.753103\pi\) |
0.996997 | − | 0.0774390i | \(-0.0246743\pi\) | |||||||
\(284\) | 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 | ||||
\(287\) | 22.9264 | + | 20.2592i | 1.35330 | + | 1.19586i | ||||
\(288\) | 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 | −0.331335 | − | 0.943513i | \(-0.607499\pi\) |
0.871643 | + | 0.490141i | \(0.163055\pi\) | |||||||
\(294\) | −8.23778 | − | 1.18571i | −0.480437 | − | 0.0691519i | ||||
\(295\) | 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 | ||||
\(301\) | −2.08249 | + | 3.40286i | −0.120032 | + | 0.196137i | ||||
\(302\) | 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 | 0.174107 | − | 0.984727i | \(-0.444296\pi\) |
0.939852 | + | 0.341583i | \(0.110963\pi\) | |||||||
\(308\) | 0.879398 | − | 0.131963i | 0.0501084 | − | 0.00751927i | ||||
\(309\) | 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 | 0.271271 | − | 0.962503i | \(-0.412556\pi\) |
−0.410879 | + | 0.911690i | \(0.634778\pi\) | |||||||
\(312\) | −6.75115 | − | 4.77282i | −0.382209 | − | 0.270208i | ||||
\(313\) | −5.70705 | − | 1.00631i | −0.322582 | − | 0.0568798i | 0.0100126 | − | 0.999950i | \(-0.496813\pi\) |
−0.332594 | + | 0.943070i | \(0.607924\pi\) | |||||||
\(314\) | −4.31791 | − | 7.47885i | −0.243674 | − | 0.422056i | ||||
\(315\) | 3.27776 | + | 10.0782i | 0.184681 | + | 0.567839i | ||||
\(316\) | −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 | ||||
\(322\) | 2.59870 | − | 2.06963i | 0.144820 | − | 0.115336i | ||||
\(323\) | − | 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 | ||||
\(329\) | −8.55400 | − | 15.7321i | −0.471597 | − | 0.867341i | ||||
\(330\) | 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 | ||||
\(336\) | −6.12145 | − | 1.83941i | −0.333953 | − | 0.100348i | ||||
\(337\) | 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 | ||||
\(343\) | 8.00305 | + | 16.7018i | 0.432124 | + | 0.901814i | ||||
\(344\) | 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 | \(0.188104\pi\) |
−0.278007 | + | 0.960579i | \(0.589674\pi\) | |||||||
\(350\) | −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 | 0.0370764 | − | 0.999312i | \(-0.488196\pi\) |
0.670748 | + | 0.741685i | \(0.265973\pi\) | |||||||
\(354\) | −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 | ||||
\(357\) | 3.95540 | − | 1.70144i | 0.209342 | − | 0.0900496i | ||||
\(358\) | −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 | ||||
\(364\) | −0.203903 | + | 7.96818i | −0.0106874 | + | 0.417646i | ||||
\(365\) | −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 | −0.299664 | − | 0.954045i | \(-0.596875\pi\) |
−0.607895 | + | 0.794017i | \(0.707986\pi\) | |||||||
\(368\) | 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 | ||||
\(371\) | −3.65087 | + | 9.28449i | −0.189544 | + | 0.482027i | ||||
\(372\) | −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 | ||||||||
\(378\) | 6.92899 | − | 6.40675i | 0.356389 | − | 0.329528i | ||||
\(379\) | 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 | 0.979187 | − | 0.202960i | \(-0.0650563\pi\) |
−0.989551 | + | 0.144181i | \(0.953945\pi\) | |||||||
\(384\) | 16.8943 | + | 7.97111i | 0.862136 | + | 0.406774i | ||||
\(385\) | 0.284206 | − | 0.722762i | 0.0144845 | − | 0.0368354i | ||||
\(386\) | −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 | ||||
\(392\) | −4.97684 | − | 16.2094i | −0.251368 | − | 0.818698i | ||||
\(393\) | 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 | 0.791055 | − | 0.611745i | \(-0.209532\pi\) |
−0.134259 | + | 0.990946i | \(0.542865\pi\) | |||||||
\(398\) | 5.06008 | + | 4.24591i | 0.253639 | + | 0.212828i | ||||
\(399\) | −9.62383 | + | 12.8997i | −0.481794 | + | 0.645793i | ||||
\(400\) | −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 | 0.997238 | − | 0.0742715i | \(-0.0236631\pi\) |
−0.246312 | + | 0.969191i | \(0.579219\pi\) | |||||||
\(410\) | −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 | ||||
\(413\) | −5.21334 | + | 25.7027i | −0.256532 | + | 1.26475i | ||||
\(414\) | −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 | 0.777009 | − | 0.629489i | \(-0.216736\pi\) |
0.190596 | + | 0.981669i | \(0.438958\pi\) | |||||||
\(420\) | −6.81046 | + | 6.41230i | −0.332317 | + | 0.312888i | ||||
\(421\) | 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 | ||||
\(427\) | 21.8711 | − | 11.8919i | 1.05842 | − | 0.575491i | ||||
\(428\) | 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 | \(-0.798539\pi\) | ||
0.806310 | − | 0.591493i | \(-0.201461\pi\) | |||||||
\(434\) | 13.1548 | − | 10.4766i | 0.631449 | − | 0.502892i | ||||
\(435\) | 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 | −0.976106 | − | 0.217296i | \(-0.930276\pi\) |
0.383493 | + | 0.923544i | \(0.374721\pi\) | |||||||
\(440\) | −0.355523 | + | 0.615783i | −0.0169489 | + | 0.0293563i | ||||
\(441\) | −20.4241 | − | 4.88438i | −0.972575 | − | 0.232589i | ||||
\(442\) | 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 | ||||
\(448\) | 0.468471 | + | 3.12188i | 0.0221332 | + | 0.147495i | ||||
\(449\) | −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 | ||||
\(455\) | 5.93773 | + | 3.63378i | 0.278365 | + | 0.170354i | ||||
\(456\) | 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 | −0.587183 | − | 0.809454i | \(-0.699763\pi\) |
0.0704983 | + | 0.997512i | \(0.477541\pi\) | |||||||
\(462\) | −0.690440 | + | 0.0395109i | −0.0321222 | + | 0.00183821i | ||||
\(463\) | −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 | −0.708642 | − | 0.705568i | \(-0.750692\pi\) |
0.965361 | + | 0.260918i | \(0.0840253\pi\) | |||||||
\(468\) | −6.87074 | − | 5.87187i | −0.317600 | − | 0.271427i | ||||
\(469\) | −13.4336 | − | 11.8708i | −0.620307 | − | 0.548142i | ||||
\(470\) | 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 | ||||
\(476\) | 2.84793 | + | 2.51662i | 0.130535 | + | 0.115349i | ||||
\(477\) | −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 | 0.634880 | − | 0.772611i | \(-0.281049\pi\) |
−0.650627 | + | 0.759397i | \(0.725494\pi\) | |||||||
\(480\) | 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 | ||||
\(483\) | 7.00815 | − | 4.59915i | 0.318882 | − | 0.209269i | ||||
\(484\) | −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 | ||||
\(490\) | −6.25302 | − | 1.43578i | −0.282482 | − | 0.0648617i | ||||
\(491\) | 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 | ||||
\(497\) | 35.8638 | − | 5.38174i | 1.60871 | − | 0.241404i | ||||
\(498\) | 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 | 0.680005 | − | 0.733208i | \(-0.261978\pi\) |
−0.974979 | + | 0.222298i | \(0.928644\pi\) | |||||||
\(504\) | 17.8286 | + | 7.19732i | 0.794148 | + | 0.320594i | ||||
\(505\) | −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 | −0.371491 | − | 0.928436i | \(-0.621153\pi\) |
0.849823 | + | 0.527069i | \(0.176709\pi\) | |||||||
\(510\) | −0.392564 | + | 1.43902i | −0.0173830 | + | 0.0637211i | ||||
\(511\) | −14.6211 | − | 18.3588i | −0.646800 | − | 0.812145i | ||||
\(512\) | 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 | ||||
\(518\) | −4.99420 | + | 2.71548i | −0.219432 | + | 0.119311i | ||||
\(519\) | 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 | −0.940759 | − | 0.339077i | \(-0.889885\pi\) |
0.764029 | + | 0.645182i | \(0.223219\pi\) | |||||||
\(522\) | 2.81184 | − | 7.51348i | 0.123071 | − | 0.328856i | ||||
\(523\) | 10.5643 | − | 6.09931i | 0.461945 | − | 0.266704i | −0.250917 | − | 0.968009i | \(-0.580732\pi\) |
0.712862 | + | 0.701305i | \(0.247399\pi\) | |||||||
\(524\) | −1.29902 | + | 7.36711i | −0.0567479 | + | 0.321833i | ||||
\(525\) | −3.38549 | − | 14.3494i | −0.147755 | − | 0.626257i | ||||
\(526\) | −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 | ||||
\(532\) | −13.9220 | − | 2.82382i | −0.603595 | − | 0.122428i | ||||
\(533\) | −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 | ||||
\(546\) | 0.725896 | − | 6.15628i | 0.0310655 | − | 0.263464i | ||||
\(547\) | 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 | ||||
\(553\) | −22.2856 | − | 0.570280i | −0.947678 | − | 0.0242508i | ||||
\(554\) | −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 | ||||
\(560\) | −4.58553 | − | 1.80313i | −0.193774 | − | 0.0761963i | ||||
\(561\) | 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 | −0.768520 | − | 0.639826i | \(-0.779006\pi\) |
0.496653 | + | 0.867949i | \(0.334562\pi\) | |||||||
\(564\) | 4.56033 | + | 17.3323i | 0.192025 | + | 0.729822i | ||||
\(565\) | −3.74471 | − | 10.2885i | −0.157541 | − | 0.432840i | ||||
\(566\) | −9.55604 | −0.401670 | ||||||||
\(567\) | 18.8915 | − | 14.4952i | 0.793370 | − | 0.608740i | ||||
\(568\) | −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 | ||||
\(574\) | 7.68550 | − | 19.5449i | 0.320787 | − | 0.815789i | ||||
\(575\) | 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 | −0.993405 | − | 0.114658i | \(-0.963423\pi\) |
−0.397405 | + | 0.917643i | \(0.630089\pi\) | |||||||
\(578\) | −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 | ||||
\(581\) | −45.5164 | − | 1.16475i | −1.88834 | − | 0.0483219i | ||||
\(582\) | −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 | −0.0835134 | − | 0.996507i | \(-0.526614\pi\) |
−0.995869 | + | 0.0907969i | \(0.971059\pi\) | |||||||
\(588\) | −3.79344 | − | 18.1434i | −0.156439 | − | 0.748219i | ||||
\(589\) | −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 | \(-0.543754\pi\) | ||||
−0.137024 | + | 0.990568i | \(0.543754\pi\) | |||||||
\(594\) | 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 | −0.437752 | − | 0.899096i | \(-0.644225\pi\) |
0.961451 | + | 0.274975i | \(0.0886696\pi\) | |||||||
\(602\) | 2.68392 | + | 0.544384i | 0.109388 | + | 0.0221874i | ||||
\(603\) | 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 | \(-0.655859\pi\) |
0.927540 | − | 0.373724i | \(-0.121919\pi\) | |||||||
\(608\) | 19.1482 | + | 6.96937i | 0.776562 | + | 0.282645i | ||||
\(609\) | −17.3750 | + | 4.09935i | −0.704072 | + | 0.166114i | ||||
\(610\) | −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 | ||||
\(616\) | −0.673040 | − | 1.23783i | −0.0271176 | − | 0.0498735i | ||||
\(617\) | −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 | 0.914414 | − | 0.404780i | \(-0.132652\pi\) |
−0.960669 | + | 0.277695i | \(0.910430\pi\) | |||||||
\(620\) | − | 18.9011i | − | 0.759084i | ||||||
\(621\) | −0.956691 | + | 9.45660i | −0.0383907 | + | 0.379480i | ||||
\(622\) | 1.79850i | 0.0721132i | ||||||||
\(623\) | 14.3316 | − | 11.4138i | 0.574183 | − | 0.457285i | ||||
\(624\) | 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 | ||||
\(630\) | 5.73132 | − | 4.48042i | 0.228341 | − | 0.178504i | ||||
\(631\) | −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 | ||||
\(637\) | −12.2834 | + | 6.27714i | −0.486685 | + | 0.248709i | ||||
\(638\) | −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 | −0.773558 | − | 0.633726i | \(-0.781525\pi\) |
−0.510160 | + | 0.860080i | \(0.670414\pi\) | |||||||
\(644\) | 6.31084 | + | 3.86212i | 0.248682 | + | 0.152189i | ||||
\(645\) | −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 | \(-0.352818\pi\) | ||||
0.446084 | + | 0.894991i | \(0.352818\pi\) | |||||||
\(648\) | −19.0740 | + | 10.5574i | −0.749298 | + | 0.414733i | ||||
\(649\) | 2.17925i | 0.0855431i | ||||||||
\(650\) | 4.08958 | − | 1.48848i | 0.160406 | − | 0.0583831i | ||||
\(651\) | 35.4757 | − | 23.2812i | 1.39040 | − | 0.912463i | ||||
\(652\) | −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 | ||||
\(658\) | −8.13966 | + | 9.21126i | −0.317317 | + | 0.359092i | ||||
\(659\) | −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 | \(0.419456\pi\) |
−0.814094 | + | 0.580733i | \(0.802766\pi\) | |||||||
\(662\) | 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 | ||||
\(665\) | −8.21529 | + | 9.29685i | −0.318575 | + | 0.360516i | ||||
\(666\) | 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 | ||||
\(672\) | 1.51906 | + | 26.5451i | 0.0585991 | + | 1.02400i | ||||
\(673\) | −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 | −0.254699 | − | 0.967020i | \(-0.581976\pi\) |
0.426478 | + | 0.904498i | \(0.359754\pi\) | |||||||
\(678\) | −6.92508 | + | 6.86278i | −0.265956 | + | 0.263563i | ||||
\(679\) | 10.1485 | + | 6.21067i | 0.389462 | + | 0.238344i | ||||
\(680\) | −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 | ||||
\(686\) | 8.89450 | − | 9.08353i | 0.339594 | − | 0.346811i | ||||
\(687\) | −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 | 0.302888 | − | 0.953026i | \(-0.402049\pi\) |
−0.0413322 | + | 0.999145i | \(0.513160\pi\) | |||||||
\(692\) | 3.58348 | + | 6.20677i | 0.136223 | + | 0.235946i | ||||
\(693\) | −1.74394 | − | 0.0604032i | −0.0662469 | − | 0.00229453i | ||||
\(694\) | 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 | ||||
\(700\) | 10.1794 | − | 8.10698i | 0.384746 | − | 0.306415i | ||||
\(701\) | − | 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 | ||||
\(707\) | −1.23892 | − | 2.27856i | −0.0465942 | − | 0.0856940i | ||||
\(708\) | 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 | ||||
\(714\) | −2.02614 | − | 2.15195i | −0.0758264 | − | 0.0805348i | ||||
\(715\) | 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 | \(-0.931006\pi\) |
0.302056 | − | 0.953290i | \(-0.402327\pi\) | |||||||
\(720\) | 4.86357 | − | 2.74968i | 0.181255 | − | 0.102474i | ||||
\(721\) | −34.6651 | − | 7.03119i | −1.29100 | − | 0.261855i | ||||
\(722\) | −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 | \(0.0110595\pi\) |
−0.743253 | + | 0.669010i | \(0.766718\pi\) | |||||||
\(728\) | 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 | 0.781832 | − | 0.623490i | \(-0.214286\pi\) |
−0.749781 | + | 0.661686i | \(0.769841\pi\) | |||||||
\(734\) | 2.10441 | + | 11.9347i | 0.0776753 | + | 0.440518i | ||||
\(735\) | −15.3793 | − | 5.05368i | −0.567275 | − | 0.186408i | ||||
\(736\) | −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 | ||||
\(742\) | 6.84606 | + | 0.175188i | 0.251327 | + | 0.00643136i | ||||
\(743\) | −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 | ||||
\(749\) | −18.1267 | + | 46.0978i | −0.662335 | + | 1.68438i | ||||
\(750\) | 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 | ||||||||
\(756\) | 18.6861 | + | 9.62095i | 0.679608 | + | 0.349911i | ||||
\(757\) | 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 | \(0.111398\pi\) |
−0.765464 | + | 0.643478i | \(0.777491\pi\) | |||||||
\(762\) | −0.0943211 | − | 1.13726i | −0.00341689 | − | 0.0411987i | ||||
\(763\) | −12.9033 | − | 5.07388i | −0.467132 | − | 0.183687i | ||||
\(764\) | 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 | \(0.373510\pi\) |
−0.889162 | + | 0.457592i | \(0.848712\pi\) | |||||||
\(770\) | −0.532939 | − | 0.0136377i | −0.0192058 | − | 0.000491470i | ||||
\(771\) | −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 | 0.611767 | − | 0.791038i | \(-0.290459\pi\) |
−0.990943 | + | 0.134286i | \(0.957126\pi\) | |||||||
\(774\) | −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 | ||||
\(777\) | −13.1765 | + | 5.66793i | −0.472703 | + | 0.203336i | ||||
\(778\) | 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 | 0.910968 | − | 0.412477i | \(-0.135336\pi\) |
−0.564399 | + | 0.825502i | \(0.690892\pi\) | |||||||
\(788\) | −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 | ||||
\(791\) | 21.2626 | + | 4.31273i | 0.756010 | + | 0.153343i | ||||
\(792\) | 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 | 0.696484 | − | 0.717572i | \(-0.254746\pi\) |
0.0722918 | + | 0.997384i | \(0.476969\pi\) | |||||||
\(798\) | 10.5803 | + | 3.17924i | 0.374540 | + | 0.112544i | ||||
\(799\) | 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 | ||||
\(805\) | 5.67695 | − | 3.08672i | 0.200086 | − | 0.108792i | ||||
\(806\) | 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 | \(-0.889305\pi\) | ||
0.940139 | − | 0.340790i | \(-0.110695\pi\) | |||||||
\(812\) | −9.81640 | − | 12.3258i | −0.344488 | − | 0.432552i | ||||
\(813\) | 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 | ||||
\(819\) | 3.24766 | − | 15.3004i | 0.113482 | − | 0.534640i | ||||
\(820\) | −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 | ||||
\(826\) | 17.8034 | − | 2.67158i | 0.619459 | − | 0.0929562i | ||||
\(827\) | −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 | −0.259161 | − | 0.965834i | \(-0.583446\pi\) |
−0.966017 | + | 0.258477i | \(0.916779\pi\) | |||||||
\(830\) | 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 | ||||
\(833\) | −1.47192 | + | 6.41043i | −0.0509990 | + | 0.222108i | ||||
\(834\) | 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 | −0.992101 | − | 0.125442i | \(-0.959965\pi\) |
−0.679361 | + | 0.733804i | \(0.737743\pi\) | |||||||
\(840\) | 13.2380 | + | 6.66519i | 0.456754 | + | 0.229971i | ||||
\(841\) | 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 | ||||
\(847\) | −21.7127 | − | 19.1867i | −0.746058 | − | 0.659264i | ||||
\(848\) | 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 | 0.732700 | − | 0.680552i | \(-0.238260\pi\) |
0.455750 | + | 0.890108i | \(0.349371\pi\) | |||||||
\(854\) | −12.8057 | − | 11.3159i | −0.438201 | − | 0.387222i | ||||
\(855\) | −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 | 0.433367 | − | 0.901217i | \(-0.357325\pi\) |
−0.812272 | + | 0.583278i | \(0.801770\pi\) | |||||||
\(858\) | −0.0425744 | − | 0.513335i | −0.00145347 | − | 0.0175250i | ||||
\(859\) | −25.8833 | + | 4.56392i | −0.883125 | + | 0.155719i | −0.596777 | − | 0.802407i | \(-0.703552\pi\) |
−0.286348 | + | 0.958126i | \(0.592441\pi\) | |||||||
\(860\) | 2.35786 | − | 1.97848i | 0.0804025 | − | 0.0674657i | ||||
\(861\) | 23.8308 | − | 47.3313i | 0.812152 | − | 1.61305i | ||||
\(862\) | 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 | ||||
\(868\) | 31.9459 | + | 19.5503i | 1.08431 | + | 0.663580i | ||||
\(869\) | −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 | ||||
\(875\) | −4.30775 | − | 28.7068i | −0.145628 | − | 0.970467i | ||||
\(876\) | 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 | 0.590501 | − | 0.807037i | \(-0.298930\pi\) |
−0.994165 | + | 0.107871i | \(0.965597\pi\) | |||||||
\(882\) | 1.64446 | + | 14.3212i | 0.0553720 | + | 0.482219i | ||||
\(883\) | −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 | −0.763670 | − | 0.645607i | \(-0.776604\pi\) |
0.503189 | + | 0.864176i | \(0.332160\pi\) | |||||||
\(888\) | 12.7002 | − | 3.34157i | 0.426191 | − | 0.112136i | ||||
\(889\) | −1.98643 | + | 1.58201i | −0.0666226 | + | 0.0530589i | ||||
\(890\) | 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 | ||||
\(896\) | −25.0687 | + | 13.6306i | −0.837488 | + | 0.455365i | ||||
\(897\) | 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 | ||||
\(903\) | 6.61773 | + | 1.98853i | 0.220224 | + | 0.0661742i | ||||
\(904\) | −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 | ||||
\(910\) | 0.949908 | − | 4.68323i | 0.0314891 | − | 0.155248i | ||||
\(911\) | 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 | ||||
\(924\) | −0.608614 | − | 1.41487i | −0.0200219 | − | 0.0465458i | ||||
\(925\) | −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 | \(0.135049\pi\) |
−0.997174 | + | 0.0751316i | \(0.976062\pi\) | |||||||
\(930\) | −1.34730 | + | 14.6376i | −0.0441798 | + | 0.479985i | ||||
\(931\) | −7.21573 | − | 23.5014i | −0.236486 | − | 0.770226i | ||||
\(932\) | 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 | 0.441384 | − | 0.897318i | \(-0.354488\pi\) |
−0.556409 | + | 0.830909i | \(0.687821\pi\) | |||||||
\(938\) | −4.50329 | + | 11.4523i | −0.147038 | + | 0.373930i | ||||
\(939\) | 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 | −0.759154 | − | 0.650912i | \(-0.774387\pi\) |
0.509197 | + | 0.860650i | \(0.329942\pi\) | |||||||
\(942\) | −10.6244 | + | 10.5288i | −0.346161 | + | 0.343046i | ||||
\(943\) | 7.23464 | + | 19.8770i | 0.235592 | + | 0.647285i | ||||
\(944\) | 13.8262 | 0.450003 | ||||||||
\(945\) | 15.4367 | − | 9.93205i | 0.502157 | − | 0.323090i | ||||
\(946\) | 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 | ||||
\(952\) | 2.20366 | − | 5.60410i | 0.0714209 | − | 0.181630i | ||||
\(953\) | 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 | ||||
\(959\) | −0.787550 | + | 30.7761i | −0.0254313 | + | 0.993811i | ||||
\(960\) | −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 | ||||
\(966\) | −4.61201 | − | 3.44079i | −0.148389 | − | 0.110706i | ||||
\(967\) | 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 | \(-0.428960\pi\) | ||||
0.221331 | + | 0.975199i | \(0.428960\pi\) | |||||||
\(972\) | −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 | ||||
\(980\) | −1.75825 | − | 14.1801i | −0.0561653 | − | 0.452966i | ||||
\(981\) | 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 | \(0.217205\pi\) |
−0.944967 | + | 0.327167i | \(0.893906\pi\) | |||||||
\(984\) | −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 | ||||
\(987\) | −22.5821 | + | 21.2618i | −0.718795 | + | 0.676771i | ||||
\(988\) | 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 | ||||
\(994\) | −11.8915 | − | 21.8703i | −0.377175 | − | 0.693683i | ||||
\(995\) | 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 | \(-0.917119\pi\) |
0.574740 | − | 0.818336i | \(-0.305103\pi\) | |||||||
\(998\) | − | 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.20.9 | ✓ | 132 | |
3.2 | odd | 2 | 567.2.be.a.62.14 | 132 | |||
7.6 | odd | 2 | inner | 189.2.be.a.20.10 | yes | 132 | |
21.20 | even | 2 | 567.2.be.a.62.13 | 132 | |||
27.4 | even | 9 | 567.2.be.a.503.13 | 132 | |||
27.23 | odd | 18 | inner | 189.2.be.a.104.10 | yes | 132 | |
189.104 | even | 18 | inner | 189.2.be.a.104.9 | yes | 132 | |
189.139 | odd | 18 | 567.2.be.a.503.14 | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.be.a.20.9 | ✓ | 132 | 1.1 | even | 1 | trivial | |
189.2.be.a.20.10 | yes | 132 | 7.6 | odd | 2 | inner | |
189.2.be.a.104.9 | yes | 132 | 189.104 | even | 18 | inner | |
189.2.be.a.104.10 | yes | 132 | 27.23 | odd | 18 | inner | |
567.2.be.a.62.13 | 132 | 21.20 | even | 2 | |||
567.2.be.a.62.14 | 132 | 3.2 | odd | 2 | |||
567.2.be.a.503.13 | 132 | 27.4 | even | 9 | |||
567.2.be.a.503.14 | 132 | 189.139 | odd | 18 |