Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [350,2,Mod(9,350)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(350, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([21, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("350.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 350 = 2 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 350.u (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.79476407074\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 39.15 | ||
Character | \(\chi\) | \(=\) | 350.39 |
Dual form | 350.2.u.a.9.15 |
$q$-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 \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{3}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.406737 | − | 0.913545i | 0.287606 | − | 0.645974i | ||||
\(3\) | −0.339833 | + | 0.305987i | −0.196203 | + | 0.176662i | −0.761376 | − | 0.648310i | \(-0.775476\pi\) |
0.565173 | + | 0.824972i | \(0.308809\pi\) | |||||||
\(4\) | −0.669131 | − | 0.743145i | −0.334565 | − | 0.371572i | ||||
\(5\) | 0.421551 | − | 2.19597i | 0.188523 | − | 0.982069i | ||||
\(6\) | 0.141311 | + | 0.434909i | 0.0576898 | + | 0.177551i | ||||
\(7\) | 2.63940 | − | 0.183264i | 0.997598 | − | 0.0692673i | ||||
\(8\) | −0.951057 | + | 0.309017i | −0.336249 | + | 0.109254i | ||||
\(9\) | −0.291727 | + | 2.77560i | −0.0972423 | + | 0.925199i | ||||
\(10\) | −1.83466 | − | 1.27829i | −0.580170 | − | 0.404230i | ||||
\(11\) | −0.567341 | − | 5.39789i | −0.171060 | − | 1.62753i | −0.657250 | − | 0.753672i | \(-0.728281\pi\) |
0.486190 | − | 0.873853i | \(-0.338386\pi\) | |||||||
\(12\) | 0.454785 | + | 0.0477999i | 0.131285 | + | 0.0137986i | ||||
\(13\) | −0.162752 | + | 0.224009i | −0.0451392 | + | 0.0621288i | −0.830990 | − | 0.556287i | \(-0.812225\pi\) |
0.785851 | + | 0.618416i | \(0.212225\pi\) | |||||||
\(14\) | 0.906119 | − | 2.48575i | 0.242171 | − | 0.664344i | ||||
\(15\) | 0.528682 | + | 0.875253i | 0.136505 | + | 0.225989i | ||||
\(16\) | −0.104528 | + | 0.994522i | −0.0261321 | + | 0.248630i | ||||
\(17\) | 1.26975 | − | 5.97370i | 0.307959 | − | 1.44883i | −0.503281 | − | 0.864123i | \(-0.667874\pi\) |
0.811241 | − | 0.584712i | \(-0.198793\pi\) | |||||||
\(18\) | 2.41698 | + | 1.39544i | 0.569687 | + | 0.328909i | ||||
\(19\) | −0.625560 | + | 0.694755i | −0.143513 | + | 0.159388i | −0.810616 | − | 0.585578i | \(-0.800868\pi\) |
0.667103 | + | 0.744966i | \(0.267534\pi\) | |||||||
\(20\) | −1.91400 | + | 1.15612i | −0.427983 | + | 0.258516i | ||||
\(21\) | −0.840878 | + | 0.869900i | −0.183495 | + | 0.189828i | ||||
\(22\) | −5.16198 | − | 1.67723i | −1.10054 | − | 0.357586i | ||||
\(23\) | −1.84079 | + | 4.13447i | −0.383831 | + | 0.862097i | 0.613543 | + | 0.789662i | \(0.289744\pi\) |
−0.997373 | + | 0.0724358i | \(0.976923\pi\) | |||||||
\(24\) | 0.228645 | − | 0.396025i | 0.0466720 | − | 0.0808383i | ||||
\(25\) | −4.64459 | − | 1.85143i | −0.928918 | − | 0.370286i | ||||
\(26\) | 0.138445 | + | 0.239794i | 0.0271513 | + | 0.0470274i | ||||
\(27\) | −1.55652 | − | 2.14237i | −0.299553 | − | 0.412300i | ||||
\(28\) | −1.90229 | − | 1.83883i | −0.359500 | − | 0.347506i | ||||
\(29\) | 1.57757 | − | 4.85527i | 0.292948 | − | 0.901600i | −0.690955 | − | 0.722897i | \(-0.742810\pi\) |
0.983903 | − | 0.178703i | \(-0.0571901\pi\) | |||||||
\(30\) | 1.01462 | − | 0.126978i | 0.185243 | − | 0.0231828i | ||||
\(31\) | 8.14401 | + | 1.73106i | 1.46271 | + | 0.310908i | 0.869417 | − | 0.494080i | \(-0.164495\pi\) |
0.593291 | + | 0.804988i | \(0.297828\pi\) | |||||||
\(32\) | 0.866025 | + | 0.500000i | 0.153093 | + | 0.0883883i | ||||
\(33\) | 1.84449 | + | 1.66078i | 0.321084 | + | 0.289105i | ||||
\(34\) | −4.94079 | − | 3.58970i | −0.847339 | − | 0.615628i | ||||
\(35\) | 0.710198 | − | 5.87330i | 0.120045 | − | 0.992768i | ||||
\(36\) | 2.25787 | − | 1.64044i | 0.376312 | − | 0.273407i | ||||
\(37\) | −4.45055 | − | 0.467772i | −0.731666 | − | 0.0769012i | −0.268634 | − | 0.963242i | \(-0.586572\pi\) |
−0.463033 | + | 0.886341i | \(0.653239\pi\) | |||||||
\(38\) | 0.380252 | + | 0.854060i | 0.0616850 | + | 0.138547i | ||||
\(39\) | −0.0132353 | − | 0.125925i | −0.00211934 | − | 0.0201642i | ||||
\(40\) | 0.277674 | + | 2.21876i | 0.0439041 | + | 0.350817i | ||||
\(41\) | 4.02705 | + | 2.92582i | 0.628920 | + | 0.456937i | 0.856026 | − | 0.516933i | \(-0.172926\pi\) |
−0.227106 | + | 0.973870i | \(0.572926\pi\) | |||||||
\(42\) | 0.452678 | + | 1.12200i | 0.0698497 | + | 0.173128i | ||||
\(43\) | 6.90355i | 1.05278i | 0.850243 | + | 0.526391i | \(0.176455\pi\) | ||||
−0.850243 | + | 0.526391i | \(0.823545\pi\) | |||||||
\(44\) | −3.63179 | + | 4.03351i | −0.547513 | + | 0.608075i | ||||
\(45\) | 5.97216 | + | 1.81068i | 0.890276 | + | 0.269920i | ||||
\(46\) | 3.02831 | + | 3.36328i | 0.446501 | + | 0.495889i | ||||
\(47\) | 1.75761 | + | 8.26891i | 0.256374 | + | 1.20614i | 0.898302 | + | 0.439379i | \(0.144801\pi\) |
−0.641928 | + | 0.766765i | \(0.721865\pi\) | |||||||
\(48\) | −0.268789 | − | 0.369956i | −0.0387963 | − | 0.0533985i | ||||
\(49\) | 6.93283 | − | 0.967413i | 0.990404 | − | 0.138202i | ||||
\(50\) | −3.58049 | + | 3.49000i | −0.506358 | + | 0.493560i | ||||
\(51\) | 1.39637 | + | 2.41859i | 0.195531 | + | 0.338670i | ||||
\(52\) | 0.275373 | − | 0.0289429i | 0.0381874 | − | 0.00401365i | ||||
\(53\) | −1.79791 | + | 1.61885i | −0.246962 | + | 0.222366i | −0.783310 | − | 0.621631i | \(-0.786470\pi\) |
0.536348 | + | 0.843997i | \(0.319804\pi\) | |||||||
\(54\) | −2.59025 | + | 0.550574i | −0.352488 | + | 0.0749237i | ||||
\(55\) | −12.0928 | − | 1.02962i | −1.63059 | − | 0.138834i | ||||
\(56\) | −2.45358 | + | 0.989913i | −0.327874 | + | 0.132283i | ||||
\(57\) | − | 0.427514i | − | 0.0566256i | ||||||
\(58\) | −3.79385 | − | 3.41600i | −0.498157 | − | 0.448542i | ||||
\(59\) | 1.49402 | − | 0.665183i | 0.194505 | − | 0.0865994i | −0.307173 | − | 0.951654i | \(-0.599383\pi\) |
0.501678 | + | 0.865054i | \(0.332716\pi\) | |||||||
\(60\) | 0.296683 | − | 0.978546i | 0.0383016 | − | 0.126330i | ||||
\(61\) | 2.74313 | + | 1.22132i | 0.351222 | + | 0.156374i | 0.574762 | − | 0.818321i | \(-0.305095\pi\) |
−0.223540 | + | 0.974695i | \(0.571761\pi\) | |||||||
\(62\) | 4.89387 | − | 6.73584i | 0.621522 | − | 0.855452i | ||||
\(63\) | −0.261316 | + | 7.37936i | −0.0329227 | + | 0.929712i | ||||
\(64\) | 0.809017 | − | 0.587785i | 0.101127 | − | 0.0734732i | ||||
\(65\) | 0.423308 | + | 0.451829i | 0.0525049 | + | 0.0560425i | ||||
\(66\) | 2.26742 | − | 1.00952i | 0.279100 | − | 0.124263i | ||||
\(67\) | −2.71206 | + | 12.7593i | −0.331331 | + | 1.55879i | 0.425364 | + | 0.905022i | \(0.360146\pi\) |
−0.756695 | + | 0.653768i | \(0.773187\pi\) | |||||||
\(68\) | −5.28895 | + | 3.05358i | −0.641380 | + | 0.370301i | ||||
\(69\) | −0.639536 | − | 1.96829i | −0.0769910 | − | 0.236954i | ||||
\(70\) | −5.07666 | − | 3.03768i | −0.606777 | − | 0.363073i | ||||
\(71\) | −3.82240 | + | 11.7642i | −0.453636 | + | 1.39615i | 0.419093 | + | 0.907943i | \(0.362348\pi\) |
−0.872729 | + | 0.488205i | \(0.837652\pi\) | |||||||
\(72\) | −0.580258 | − | 2.72990i | −0.0683840 | − | 0.321722i | ||||
\(73\) | 2.71977 | − | 0.285859i | 0.318325 | − | 0.0334573i | 0.0559813 | − | 0.998432i | \(-0.482171\pi\) |
0.262344 | + | 0.964975i | \(0.415505\pi\) | |||||||
\(74\) | −2.23753 | + | 3.87552i | −0.260108 | + | 0.450520i | ||||
\(75\) | 2.14490 | − | 0.792007i | 0.247672 | − | 0.0914531i | ||||
\(76\) | 0.934885 | 0.107239 | ||||||||
\(77\) | −2.48668 | − | 14.1432i | −0.283383 | − | 1.61177i | ||||
\(78\) | −0.120422 | − | 0.0391274i | −0.0136351 | − | 0.00443031i | ||||
\(79\) | 9.14588 | − | 1.94402i | 1.02899 | − | 0.218719i | 0.337669 | − | 0.941265i | \(-0.390361\pi\) |
0.691323 | + | 0.722546i | \(0.257028\pi\) | |||||||
\(80\) | 2.13988 | + | 0.648784i | 0.239246 | + | 0.0725362i | ||||
\(81\) | −7.00520 | − | 1.48900i | −0.778355 | − | 0.165445i | ||||
\(82\) | 4.31082 | − | 2.48886i | 0.476051 | − | 0.274848i | ||||
\(83\) | −5.02964 | + | 1.63423i | −0.552074 | + | 0.179380i | −0.571752 | − | 0.820427i | \(-0.693736\pi\) |
0.0196775 | + | 0.999806i | \(0.493736\pi\) | |||||||
\(84\) | 1.20912 | + | 0.0428170i | 0.131926 | + | 0.00467172i | ||||
\(85\) | −12.5828 | − | 5.30655i | −1.36480 | − | 0.575577i | ||||
\(86\) | 6.30670 | + | 2.80793i | 0.680069 | + | 0.302786i | ||||
\(87\) | 0.949538 | + | 2.13270i | 0.101801 | + | 0.228649i | ||||
\(88\) | 2.20761 | + | 4.95838i | 0.235332 | + | 0.528565i | ||||
\(89\) | 10.0673 | + | 4.48224i | 1.06713 | + | 0.475117i | 0.863718 | − | 0.503976i | \(-0.168130\pi\) |
0.203413 | + | 0.979093i | \(0.434797\pi\) | |||||||
\(90\) | 4.08323 | − | 4.71937i | 0.430411 | − | 0.497465i | ||||
\(91\) | −0.388514 | + | 0.621074i | −0.0407273 | + | 0.0651062i | ||||
\(92\) | 4.30424 | − | 1.39853i | 0.448748 | − | 0.145807i | ||||
\(93\) | −3.29729 | + | 1.90369i | −0.341913 | + | 0.197403i | ||||
\(94\) | 8.26891 | + | 1.75761i | 0.852873 | + | 0.181284i | ||||
\(95\) | 1.26196 | + | 1.66659i | 0.129474 | + | 0.170988i | ||||
\(96\) | −0.447298 | + | 0.0950760i | −0.0456521 | + | 0.00970366i | ||||
\(97\) | 1.58785 | + | 0.515923i | 0.161222 | + | 0.0523841i | 0.388516 | − | 0.921442i | \(-0.372988\pi\) |
−0.227294 | + | 0.973826i | \(0.572988\pi\) | |||||||
\(98\) | 1.93606 | − | 6.72694i | 0.195572 | − | 0.679523i | ||||
\(99\) | 15.1479 | 1.52242 | ||||||||
\(100\) | 1.73196 | + | 4.69045i | 0.173196 | + | 0.469045i | ||||
\(101\) | 8.45490 | − | 14.6443i | 0.841294 | − | 1.45716i | −0.0475066 | − | 0.998871i | \(-0.515128\pi\) |
0.888801 | − | 0.458294i | \(-0.151539\pi\) | |||||||
\(102\) | 2.77745 | − | 0.291921i | 0.275008 | − | 0.0289045i | ||||
\(103\) | 0.157821 | + | 0.742488i | 0.0155505 | + | 0.0731595i | 0.985239 | − | 0.171186i | \(-0.0547601\pi\) |
−0.969688 | + | 0.244346i | \(0.921427\pi\) | |||||||
\(104\) | 0.0855636 | − | 0.263338i | 0.00839021 | − | 0.0258224i | ||||
\(105\) | 1.55580 | + | 2.21325i | 0.151831 | + | 0.215991i | ||||
\(106\) | 0.747614 | + | 2.30092i | 0.0726147 | + | 0.223485i | ||||
\(107\) | −1.82709 | + | 1.05487i | −0.176632 | + | 0.101978i | −0.585709 | − | 0.810521i | \(-0.699184\pi\) |
0.409078 | + | 0.912500i | \(0.365851\pi\) | |||||||
\(108\) | −0.550574 | + | 2.59025i | −0.0529791 | + | 0.249247i | ||||
\(109\) | −9.58523 | + | 4.26762i | −0.918099 | + | 0.408764i | −0.810707 | − | 0.585453i | \(-0.800917\pi\) |
−0.107392 | + | 0.994217i | \(0.534250\pi\) | |||||||
\(110\) | −5.85918 | + | 10.6285i | −0.558651 | + | 1.01339i | ||||
\(111\) | 1.65558 | − | 1.20285i | 0.157140 | − | 0.114169i | ||||
\(112\) | −0.0936319 | + | 2.64409i | −0.00884739 | + | 0.249843i | ||||
\(113\) | −2.58893 | + | 3.56336i | −0.243547 | + | 0.335213i | −0.913238 | − | 0.407426i | \(-0.866426\pi\) |
0.669692 | + | 0.742639i | \(0.266426\pi\) | |||||||
\(114\) | −0.390553 | − | 0.173886i | −0.0365787 | − | 0.0162859i | ||||
\(115\) | 8.30321 | + | 5.78521i | 0.774278 | + | 0.539474i | ||||
\(116\) | −4.66377 | + | 2.07644i | −0.433020 | + | 0.192793i | ||||
\(117\) | −0.574278 | − | 0.517082i | −0.0530920 | − | 0.0478043i | ||||
\(118\) | − | 1.63541i | − | 0.150552i | ||||||
\(119\) | 2.25661 | − | 15.9997i | 0.206863 | − | 1.46669i | ||||
\(120\) | −0.773275 | − | 0.669044i | −0.0705900 | − | 0.0610750i | ||||
\(121\) | −18.0557 | + | 3.83786i | −1.64143 | + | 0.348897i | ||||
\(122\) | 2.23146 | − | 2.00922i | 0.202027 | − | 0.181906i | ||||
\(123\) | −2.26379 | + | 0.237934i | −0.204119 | + | 0.0214538i | ||||
\(124\) | −4.16298 | − | 7.21049i | −0.373846 | − | 0.647521i | ||||
\(125\) | −6.02362 | + | 9.41892i | −0.538769 | + | 0.842454i | ||||
\(126\) | 6.63510 | + | 3.24018i | 0.591101 | + | 0.288658i | ||||
\(127\) | −1.93484 | − | 2.66308i | −0.171690 | − | 0.236310i | 0.714498 | − | 0.699638i | \(-0.246655\pi\) |
−0.886187 | + | 0.463328i | \(0.846655\pi\) | |||||||
\(128\) | −0.207912 | − | 0.978148i | −0.0183770 | − | 0.0864569i | ||||
\(129\) | −2.11240 | − | 2.34605i | −0.185986 | − | 0.206559i | ||||
\(130\) | 0.584942 | − | 0.202936i | 0.0513028 | − | 0.0177987i | ||||
\(131\) | 10.9504 | − | 12.1616i | 0.956737 | − | 1.06256i | −0.0412499 | − | 0.999149i | \(-0.513134\pi\) |
0.997987 | − | 0.0634156i | \(-0.0201994\pi\) | |||||||
\(132\) | − | 2.48200i | − | 0.216030i | ||||||
\(133\) | −1.52378 | + | 1.94838i | −0.132128 | + | 0.168946i | ||||
\(134\) | 10.5531 | + | 7.66725i | 0.911646 | + | 0.662349i | ||||
\(135\) | −5.36074 | + | 2.51496i | −0.461379 | + | 0.216454i | ||||
\(136\) | 0.638372 | + | 6.07370i | 0.0547399 | + | 0.520815i | ||||
\(137\) | −4.73428 | − | 10.6334i | −0.404477 | − | 0.908470i | −0.994852 | − | 0.101341i | \(-0.967687\pi\) |
0.590375 | − | 0.807129i | \(-0.298980\pi\) | |||||||
\(138\) | −2.05824 | − | 0.216330i | −0.175209 | − | 0.0184152i | ||||
\(139\) | −1.00381 | + | 0.729309i | −0.0851418 | + | 0.0618592i | −0.629542 | − | 0.776967i | \(-0.716757\pi\) |
0.544400 | + | 0.838826i | \(0.316757\pi\) | |||||||
\(140\) | −4.83993 | + | 3.40222i | −0.409048 | + | 0.287540i | ||||
\(141\) | −3.12747 | − | 2.27224i | −0.263381 | − | 0.191357i | ||||
\(142\) | 9.19238 | + | 8.27685i | 0.771407 | + | 0.694578i | ||||
\(143\) | 1.30151 | + | 0.751427i | 0.108838 | + | 0.0628375i | ||||
\(144\) | −2.72990 | − | 0.580258i | −0.227491 | − | 0.0483548i | ||||
\(145\) | −9.99700 | − | 5.51105i | −0.830206 | − | 0.457667i | ||||
\(146\) | 0.845085 | − | 2.60090i | 0.0699397 | − | 0.215252i | ||||
\(147\) | −2.05999 | + | 2.45011i | −0.169905 | + | 0.202082i | ||||
\(148\) | 2.63038 | + | 3.62041i | 0.216216 | + | 0.297596i | ||||
\(149\) | −7.82346 | − | 13.5506i | −0.640923 | − | 1.11011i | −0.985227 | − | 0.171252i | \(-0.945219\pi\) |
0.344305 | − | 0.938858i | \(-0.388115\pi\) | |||||||
\(150\) | 0.148874 | − | 2.28160i | 0.0121555 | − | 0.186292i | ||||
\(151\) | 4.64962 | − | 8.05338i | 0.378381 | − | 0.655375i | −0.612446 | − | 0.790513i | \(-0.709814\pi\) |
0.990827 | + | 0.135137i | \(0.0431476\pi\) | |||||||
\(152\) | 0.380252 | − | 0.854060i | 0.0308425 | − | 0.0692734i | ||||
\(153\) | 16.2102 | + | 5.26700i | 1.31051 | + | 0.425812i | ||||
\(154\) | −13.9319 | − | 3.48087i | −1.12266 | − | 0.280496i | ||||
\(155\) | 7.23449 | − | 17.1543i | 0.581088 | − | 1.37787i | ||||
\(156\) | −0.0847247 | + | 0.0940963i | −0.00678340 | + | 0.00753373i | ||||
\(157\) | −18.8319 | − | 10.8726i | −1.50295 | − | 0.867727i | −0.999994 | − | 0.00341263i | \(-0.998914\pi\) |
−0.502953 | − | 0.864314i | \(-0.667753\pi\) | |||||||
\(158\) | 1.94402 | − | 9.14588i | 0.154658 | − | 0.727607i | ||||
\(159\) | 0.115644 | − | 1.10028i | 0.00917114 | − | 0.0872576i | ||||
\(160\) | 1.46306 | − | 1.69099i | 0.115665 | − | 0.133685i | ||||
\(161\) | −4.10087 | + | 11.2499i | −0.323193 | + | 0.886614i | ||||
\(162\) | −4.20954 | + | 5.79393i | −0.330733 | + | 0.455215i | ||||
\(163\) | 9.92465 | + | 1.04312i | 0.777358 | + | 0.0817036i | 0.484894 | − | 0.874573i | \(-0.338858\pi\) |
0.292464 | + | 0.956276i | \(0.405525\pi\) | |||||||
\(164\) | −0.520312 | − | 4.95044i | −0.0406296 | − | 0.386565i | ||||
\(165\) | 4.42458 | − | 3.35034i | 0.344453 | − | 0.260823i | ||||
\(166\) | −0.552796 | + | 5.25950i | −0.0429053 | + | 0.408217i | ||||
\(167\) | −2.97711 | + | 0.967322i | −0.230376 | + | 0.0748537i | −0.421930 | − | 0.906628i | \(-0.638647\pi\) |
0.191554 | + | 0.981482i | \(0.438647\pi\) | |||||||
\(168\) | 0.530908 | − | 1.08717i | 0.0409605 | − | 0.0838770i | ||||
\(169\) | 3.99353 | + | 12.2908i | 0.307195 | + | 0.945448i | ||||
\(170\) | −9.96567 | + | 9.33660i | −0.764332 | + | 0.716085i | ||||
\(171\) | −1.74587 | − | 1.93898i | −0.133510 | − | 0.148278i | ||||
\(172\) | 5.13034 | − | 4.61937i | 0.391184 | − | 0.352224i | ||||
\(173\) | −6.38153 | + | 14.3332i | −0.485179 | + | 1.08973i | 0.490682 | + | 0.871338i | \(0.336748\pi\) |
−0.975861 | + | 0.218391i | \(0.929919\pi\) | |||||||
\(174\) | 2.33453 | 0.176980 | ||||||||
\(175\) | −12.5982 | − | 4.03547i | −0.952335 | − | 0.305053i | ||||
\(176\) | 5.42762 | 0.409123 | ||||||||
\(177\) | −0.304182 | + | 0.683203i | −0.0228637 | + | 0.0513527i | ||||
\(178\) | 8.18947 | − | 7.37383i | 0.613827 | − | 0.552692i | ||||
\(179\) | 8.66663 | + | 9.62527i | 0.647775 | + | 0.719427i | 0.974172 | − | 0.225806i | \(-0.0725015\pi\) |
−0.326398 | + | 0.945233i | \(0.605835\pi\) | |||||||
\(180\) | −2.65055 | − | 5.64976i | −0.197561 | − | 0.421108i | ||||
\(181\) | −5.28134 | − | 16.2543i | −0.392559 | − | 1.20817i | −0.930847 | − | 0.365410i | \(-0.880929\pi\) |
0.538288 | − | 0.842761i | \(-0.319071\pi\) | |||||||
\(182\) | 0.409356 | + | 0.607538i | 0.0303435 | + | 0.0450337i | ||||
\(183\) | −1.30591 | + | 0.424317i | −0.0965359 | + | 0.0313664i | ||||
\(184\) | 0.473069 | − | 4.50095i | 0.0348751 | − | 0.331815i | ||||
\(185\) | −2.90335 | + | 9.57610i | −0.213459 | + | 0.704049i | ||||
\(186\) | 0.397980 | + | 3.78652i | 0.0291813 | + | 0.277641i | ||||
\(187\) | −32.9658 | − | 3.46484i | −2.41069 | − | 0.253374i | ||||
\(188\) | 4.96892 | − | 6.83914i | 0.362396 | − | 0.498795i | ||||
\(189\) | −4.50090 | − | 5.36931i | −0.327393 | − | 0.390560i | ||||
\(190\) | 2.03579 | − | 0.474993i | 0.147692 | − | 0.0344596i | ||||
\(191\) | −2.48910 | + | 23.6822i | −0.180105 | + | 1.71358i | 0.414904 | + | 0.909865i | \(0.363815\pi\) |
−0.595009 | + | 0.803719i | \(0.702851\pi\) | |||||||
\(192\) | −0.0950760 | + | 0.447298i | −0.00686152 | + | 0.0322809i | ||||
\(193\) | −10.5900 | − | 6.11413i | −0.762284 | − | 0.440105i | 0.0678311 | − | 0.997697i | \(-0.478392\pi\) |
−0.830115 | + | 0.557592i | \(0.811725\pi\) | |||||||
\(194\) | 1.11716 | − | 1.24073i | 0.0802071 | − | 0.0890790i | ||||
\(195\) | −0.282108 | − | 0.0240197i | −0.0202022 | − | 0.00172009i | ||||
\(196\) | −5.35790 | − | 4.50477i | −0.382707 | − | 0.321769i | ||||
\(197\) | 5.37037 | + | 1.74494i | 0.382623 | + | 0.124322i | 0.494012 | − | 0.869455i | \(-0.335530\pi\) |
−0.111389 | + | 0.993777i | \(0.535530\pi\) | |||||||
\(198\) | 6.16120 | − | 13.8383i | 0.437857 | − | 0.983443i | ||||
\(199\) | −6.84582 | + | 11.8573i | −0.485287 | + | 0.840542i | −0.999857 | − | 0.0169065i | \(-0.994618\pi\) |
0.514570 | + | 0.857448i | \(0.327952\pi\) | |||||||
\(200\) | 4.98939 | + | 0.325557i | 0.352803 | + | 0.0230204i | ||||
\(201\) | −2.98252 | − | 5.16587i | −0.210371 | − | 0.364372i | ||||
\(202\) | −9.93933 | − | 13.6803i | −0.699329 | − | 0.962544i | ||||
\(203\) | 3.27404 | − | 13.1041i | 0.229793 | − | 0.919726i | ||||
\(204\) | 0.863005 | − | 2.65606i | 0.0604225 | − | 0.185961i | ||||
\(205\) | 8.12264 | − | 7.60991i | 0.567310 | − | 0.531499i | ||||
\(206\) | 0.742488 | + | 0.157821i | 0.0517316 | + | 0.0109959i | ||||
\(207\) | −10.9386 | − | 6.31542i | −0.760287 | − | 0.438952i | ||||
\(208\) | −0.205769 | − | 0.185275i | −0.0142675 | − | 0.0128465i | ||||
\(209\) | 4.10512 | + | 2.98254i | 0.283957 | + | 0.206307i | ||||
\(210\) | 2.65471 | − | 0.521087i | 0.183192 | − | 0.0359584i | ||||
\(211\) | −9.11034 | + | 6.61905i | −0.627182 | + | 0.455674i | −0.855423 | − | 0.517930i | \(-0.826703\pi\) |
0.228241 | + | 0.973605i | \(0.426703\pi\) | |||||||
\(212\) | 2.40608 | + | 0.252889i | 0.165250 | + | 0.0173685i | ||||
\(213\) | −2.30070 | − | 5.16745i | −0.157641 | − | 0.354068i | ||||
\(214\) | 0.220528 | + | 2.09819i | 0.0150750 | + | 0.143429i | ||||
\(215\) | 15.1600 | + | 2.91020i | 1.03390 | + | 0.198474i | ||||
\(216\) | 2.14237 | + | 1.55652i | 0.145770 | + | 0.105908i | ||||
\(217\) | 21.8125 | + | 3.07646i | 1.48073 | + | 0.208844i | ||||
\(218\) | 10.4923i | 0.710631i | ||||||||
\(219\) | −0.836799 | + | 0.929359i | −0.0565456 | + | 0.0628003i | ||||
\(220\) | 7.32649 | + | 9.67564i | 0.493952 | + | 0.652332i | ||||
\(221\) | 1.13151 | + | 1.25666i | 0.0761133 | + | 0.0845324i | ||||
\(222\) | −0.425472 | − | 2.00169i | −0.0285558 | − | 0.134344i | ||||
\(223\) | −13.3128 | − | 18.3235i | −0.891492 | − | 1.22703i | −0.973103 | − | 0.230369i | \(-0.926007\pi\) |
0.0816114 | − | 0.996664i | \(-0.473993\pi\) | |||||||
\(224\) | 2.37742 | + | 1.16099i | 0.158848 | + | 0.0775717i | ||||
\(225\) | 6.49377 | − | 12.3514i | 0.432918 | − | 0.823426i | ||||
\(226\) | 2.20228 | + | 3.81446i | 0.146493 | + | 0.253734i | ||||
\(227\) | 18.7842 | − | 1.97429i | 1.24675 | − | 0.131039i | 0.541928 | − | 0.840425i | \(-0.317694\pi\) |
0.704820 | + | 0.709386i | \(0.251028\pi\) | |||||||
\(228\) | −0.317705 | + | 0.286063i | −0.0210405 | + | 0.0189450i | ||||
\(229\) | 7.81263 | − | 1.66063i | 0.516273 | − | 0.109737i | 0.0575956 | − | 0.998340i | \(-0.481657\pi\) |
0.458678 | + | 0.888603i | \(0.348323\pi\) | |||||||
\(230\) | 8.66227 | − | 5.23230i | 0.571173 | − | 0.345008i | ||||
\(231\) | 5.17269 | + | 4.04544i | 0.340338 | + | 0.266170i | ||||
\(232\) | 5.10513i | 0.335168i | ||||||||
\(233\) | −3.14684 | − | 2.83342i | −0.206156 | − | 0.185624i | 0.559585 | − | 0.828773i | \(-0.310961\pi\) |
−0.765741 | + | 0.643149i | \(0.777627\pi\) | |||||||
\(234\) | −0.705958 | + | 0.314313i | −0.0461499 | + | 0.0205473i | ||||
\(235\) | 18.8992 | − | 0.373896i | 1.23285 | − | 0.0243903i | ||||
\(236\) | −1.49402 | − | 0.665183i | −0.0972527 | − | 0.0432997i | ||||
\(237\) | −2.51323 | + | 3.45916i | −0.163252 | + | 0.224697i | ||||
\(238\) | −13.6986 | − | 8.56916i | −0.887947 | − | 0.555456i | ||||
\(239\) | 12.1081 | − | 8.79704i | 0.783207 | − | 0.569033i | −0.122733 | − | 0.992440i | \(-0.539166\pi\) |
0.905940 | + | 0.423407i | \(0.139166\pi\) | |||||||
\(240\) | −0.925721 | + | 0.434297i | −0.0597550 | + | 0.0280338i | ||||
\(241\) | −11.2161 | + | 4.99374i | −0.722494 | + | 0.321675i | −0.734832 | − | 0.678249i | \(-0.762739\pi\) |
0.0123382 | + | 0.999924i | \(0.496073\pi\) | |||||||
\(242\) | −3.83786 | + | 18.0557i | −0.246707 | + | 1.16067i | ||||
\(243\) | 9.71622 | − | 5.60966i | 0.623296 | − | 0.359860i | ||||
\(244\) | −0.927894 | − | 2.85576i | −0.0594023 | − | 0.182822i | ||||
\(245\) | 0.798130 | − | 15.6321i | 0.0509907 | − | 0.998699i | ||||
\(246\) | −0.703403 | + | 2.16485i | −0.0448473 | + | 0.138026i | ||||
\(247\) | −0.0538200 | − | 0.253203i | −0.00342449 | − | 0.0161109i | ||||
\(248\) | −8.28034 | + | 0.870299i | −0.525802 | + | 0.0552641i | ||||
\(249\) | 1.20918 | − | 2.09437i | 0.0766290 | − | 0.132725i | ||||
\(250\) | 6.15458 | + | 9.33387i | 0.389250 | + | 0.590326i | ||||
\(251\) | −20.1057 | −1.26906 | −0.634530 | − | 0.772898i | \(-0.718806\pi\) | ||||
−0.634530 | + | 0.772898i | \(0.718806\pi\) | |||||||
\(252\) | 5.65879 | − | 4.74356i | 0.356470 | − | 0.298816i | ||||
\(253\) | 23.3618 | + | 7.59071i | 1.46874 | + | 0.477224i | ||||
\(254\) | −3.21982 | + | 0.684394i | −0.202029 | + | 0.0429427i | ||||
\(255\) | 5.89979 | − | 2.04684i | 0.369459 | − | 0.128178i | ||||
\(256\) | −0.978148 | − | 0.207912i | −0.0611342 | − | 0.0129945i | ||||
\(257\) | −1.29295 | + | 0.746487i | −0.0806522 | + | 0.0465646i | −0.539784 | − | 0.841804i | \(-0.681494\pi\) |
0.459132 | + | 0.888368i | \(0.348161\pi\) | |||||||
\(258\) | −3.00242 | + | 0.975544i | −0.186922 | + | 0.0607347i | ||||
\(259\) | −11.8325 | − | 0.419009i | −0.735236 | − | 0.0260360i | ||||
\(260\) | 0.0525261 | − | 0.616912i | 0.00325753 | − | 0.0382593i | ||||
\(261\) | 13.0160 | + | 5.79511i | 0.805672 | + | 0.358709i | ||||
\(262\) | −6.65627 | − | 14.9502i | −0.411226 | − | 0.923628i | ||||
\(263\) | −11.1718 | − | 25.0923i | −0.688885 | − | 1.54726i | −0.830304 | − | 0.557311i | \(-0.811833\pi\) |
0.141419 | − | 0.989950i | \(-0.454833\pi\) | |||||||
\(264\) | −2.26742 | − | 1.00952i | −0.139550 | − | 0.0621317i | ||||
\(265\) | 2.79703 | + | 4.63059i | 0.171820 | + | 0.284455i | ||||
\(266\) | 1.16015 | + | 2.18452i | 0.0711336 | + | 0.133941i | ||||
\(267\) | −4.79271 | + | 1.55724i | −0.293309 | + | 0.0953018i | ||||
\(268\) | 11.2967 | − | 6.52215i | 0.690055 | − | 0.398404i | ||||
\(269\) | 22.9609 | + | 4.88049i | 1.39995 | + | 0.297569i | 0.845201 | − | 0.534448i | \(-0.179481\pi\) |
0.554750 | + | 0.832017i | \(0.312814\pi\) | |||||||
\(270\) | 0.117123 | + | 5.92021i | 0.00712791 | + | 0.360293i | ||||
\(271\) | −12.6596 | + | 2.69088i | −0.769017 | + | 0.163460i | −0.575682 | − | 0.817673i | \(-0.695264\pi\) |
−0.193334 | + | 0.981133i | \(0.561930\pi\) | |||||||
\(272\) | 5.80825 | + | 1.88721i | 0.352177 | + | 0.114429i | ||||
\(273\) | −0.0580108 | − | 0.329942i | −0.00351097 | − | 0.0199690i | ||||
\(274\) | −11.6397 | −0.703178 | ||||||||
\(275\) | −7.35875 | + | 26.1214i | −0.443749 | + | 1.57518i | ||||
\(276\) | −1.03479 | + | 1.79231i | −0.0622871 | + | 0.107884i | ||||
\(277\) | 24.5925 | − | 2.58478i | 1.47762 | − | 0.155304i | 0.668836 | − | 0.743410i | \(-0.266793\pi\) |
0.808784 | + | 0.588106i | \(0.200126\pi\) | |||||||
\(278\) | 0.257971 | + | 1.21366i | 0.0154721 | + | 0.0727905i | ||||
\(279\) | −7.18056 | + | 22.0995i | −0.429889 | + | 1.32306i | ||||
\(280\) | 1.13951 | + | 5.80530i | 0.0680987 | + | 0.346933i | ||||
\(281\) | −9.09305 | − | 27.9855i | −0.542446 | − | 1.66948i | −0.726987 | − | 0.686651i | \(-0.759080\pi\) |
0.184541 | − | 0.982825i | \(-0.440920\pi\) | |||||||
\(282\) | −3.34785 | + | 1.93288i | −0.199362 | + | 0.115102i | ||||
\(283\) | −5.14439 | + | 24.2024i | −0.305802 | + | 1.43869i | 0.509910 | + | 0.860228i | \(0.329679\pi\) |
−0.815712 | + | 0.578458i | \(0.803655\pi\) | |||||||
\(284\) | 11.3002 | − | 5.03115i | 0.670541 | − | 0.298544i | ||||
\(285\) | −0.938809 | − | 0.180219i | −0.0556102 | − | 0.0106753i | ||||
\(286\) | 1.21583 | − | 0.883355i | 0.0718938 | − | 0.0522339i | ||||
\(287\) | 11.1652 | + | 6.98440i | 0.659060 | + | 0.412276i | ||||
\(288\) | −1.64044 | + | 2.25787i | −0.0966639 | + | 0.133046i | ||||
\(289\) | −18.5425 | − | 8.25567i | −1.09074 | − | 0.485628i | ||||
\(290\) | −9.10074 | + | 6.89117i | −0.534414 | + | 0.404663i | ||||
\(291\) | −0.697469 | + | 0.310533i | −0.0408864 | + | 0.0182038i | ||||
\(292\) | −2.03232 | − | 1.82991i | −0.118932 | − | 0.107087i | ||||
\(293\) | 6.37698i | 0.372547i | 0.982498 | + | 0.186274i | \(0.0596411\pi\) | ||||
−0.982498 | + | 0.186274i | \(0.940359\pi\) | |||||||
\(294\) | 1.40042 | + | 2.87844i | 0.0816741 | + | 0.167874i | ||||
\(295\) | −0.830915 | − | 3.56125i | −0.0483777 | − | 0.207344i | ||||
\(296\) | 4.37728 | − | 0.930419i | 0.254424 | − | 0.0540795i | ||||
\(297\) | −10.6812 | + | 9.61740i | −0.619787 | + | 0.558058i | ||||
\(298\) | −15.5612 | + | 1.63555i | −0.901436 | + | 0.0947447i | ||||
\(299\) | −0.626566 | − | 1.08524i | −0.0362353 | − | 0.0627613i | ||||
\(300\) | −2.02379 | − | 1.06401i | −0.116844 | − | 0.0614309i | ||||
\(301\) | 1.26517 | + | 18.2212i | 0.0729233 | + | 1.05025i | ||||
\(302\) | −5.46596 | − | 7.52325i | −0.314531 | − | 0.432914i | ||||
\(303\) | 1.60772 | + | 7.56372i | 0.0923610 | + | 0.434524i | ||||
\(304\) | −0.625560 | − | 0.694755i | −0.0358783 | − | 0.0398469i | ||||
\(305\) | 3.83835 | − | 5.50898i | 0.219783 | − | 0.315443i | ||||
\(306\) | 11.4049 | − | 12.6664i | 0.651975 | − | 0.724092i | ||||
\(307\) | 28.0613i | 1.60155i | 0.598968 | + | 0.800773i | \(0.295578\pi\) | ||||
−0.598968 | + | 0.800773i | \(0.704422\pi\) | |||||||
\(308\) | −8.84654 | + | 11.3116i | −0.504078 | + | 0.644539i | ||||
\(309\) | −0.280824 | − | 0.204031i | −0.0159755 | − | 0.0116069i | ||||
\(310\) | −12.7287 | − | 13.5863i | −0.722941 | − | 0.771651i | ||||
\(311\) | −1.05025 | − | 9.99248i | −0.0595543 | − | 0.566621i | −0.983092 | − | 0.183113i | \(-0.941382\pi\) |
0.923538 | − | 0.383508i | \(-0.125284\pi\) | |||||||
\(312\) | 0.0515006 | + | 0.115672i | 0.00291565 | + | 0.00654865i | ||||
\(313\) | 19.3181 | + | 2.03041i | 1.09192 | + | 0.114766i | 0.633331 | − | 0.773881i | \(-0.281687\pi\) |
0.458592 | + | 0.888647i | \(0.348354\pi\) | |||||||
\(314\) | −17.5922 | + | 12.7815i | −0.992786 | + | 0.721301i | ||||
\(315\) | 16.0947 | + | 3.68462i | 0.906835 | + | 0.207605i | ||||
\(316\) | −7.56448 | − | 5.49591i | −0.425535 | − | 0.309169i | ||||
\(317\) | 19.9293 | + | 17.9444i | 1.11934 | + | 1.00786i | 0.999887 | + | 0.0150185i | \(0.00478072\pi\) |
0.119453 | + | 0.992840i | \(0.461886\pi\) | |||||||
\(318\) | −0.958116 | − | 0.553168i | −0.0537285 | − | 0.0310201i | ||||
\(319\) | −27.1032 | − | 5.76097i | −1.51749 | − | 0.322552i | ||||
\(320\) | −0.949718 | − | 2.02436i | −0.0530909 | − | 0.113165i | ||||
\(321\) | 0.298129 | − | 0.917547i | 0.0166399 | − | 0.0512125i | ||||
\(322\) | 8.60929 | + | 8.32206i | 0.479777 | + | 0.463770i | ||||
\(323\) | 3.35595 | + | 4.61907i | 0.186730 | + | 0.257012i | ||||
\(324\) | 3.58085 | + | 6.20221i | 0.198936 | + | 0.344567i | ||||
\(325\) | 1.17065 | − | 0.739104i | 0.0649360 | − | 0.0409981i | ||||
\(326\) | 4.98966 | − | 8.64234i | 0.276352 | − | 0.478655i | ||||
\(327\) | 1.95154 | − | 4.38324i | 0.107921 | − | 0.242394i | ||||
\(328\) | −4.73408 | − | 1.53820i | −0.261396 | − | 0.0849327i | ||||
\(329\) | 6.15442 | + | 21.5028i | 0.339304 | + | 1.18549i | ||||
\(330\) | −1.26105 | − | 5.40476i | −0.0694183 | − | 0.297522i | ||||
\(331\) | 0.249194 | − | 0.276758i | 0.0136970 | − | 0.0152120i | −0.736257 | − | 0.676702i | \(-0.763409\pi\) |
0.749954 | + | 0.661490i | \(0.230075\pi\) | |||||||
\(332\) | 4.57995 | + | 2.64424i | 0.251358 | + | 0.145121i | ||||
\(333\) | 2.59669 | − | 12.2165i | 0.142298 | − | 0.669459i | ||||
\(334\) | −0.327208 | + | 3.11317i | −0.0179040 | + | 0.170345i | ||||
\(335\) | 26.8757 | + | 11.3343i | 1.46838 | + | 0.619259i | ||||
\(336\) | −0.777239 | − | 0.927201i | −0.0424019 | − | 0.0505830i | ||||
\(337\) | −15.2049 | + | 20.9278i | −0.828266 | + | 1.14001i | 0.159977 | + | 0.987121i | \(0.448858\pi\) |
−0.988243 | + | 0.152890i | \(0.951142\pi\) | |||||||
\(338\) | 12.8525 | + | 1.35086i | 0.699086 | + | 0.0734769i | ||||
\(339\) | −0.210537 | − | 2.00313i | −0.0114348 | − | 0.108795i | ||||
\(340\) | 4.47601 | + | 12.9016i | 0.242746 | + | 0.699689i | ||||
\(341\) | 4.72366 | − | 44.9426i | 0.255800 | − | 2.43378i | ||||
\(342\) | −2.48146 | + | 0.806274i | −0.134182 | + | 0.0435983i | ||||
\(343\) | 18.1212 | − | 3.82393i | 0.978452 | − | 0.206473i | ||||
\(344\) | −2.13331 | − | 6.56566i | −0.115021 | − | 0.353997i | ||||
\(345\) | −4.59190 | + | 0.574668i | −0.247220 | + | 0.0309391i | ||||
\(346\) | 10.4984 | + | 11.6596i | 0.564397 | + | 0.626826i | ||||
\(347\) | −8.45778 | + | 7.61542i | −0.454037 | + | 0.408817i | −0.864163 | − | 0.503212i | \(-0.832152\pi\) |
0.410126 | + | 0.912029i | \(0.365485\pi\) | |||||||
\(348\) | 0.949538 | − | 2.13270i | 0.0509006 | − | 0.114325i | ||||
\(349\) | −2.05302 | −0.109896 | −0.0549479 | − | 0.998489i | \(-0.517499\pi\) | ||||
−0.0549479 | + | 0.998489i | \(0.517499\pi\) | |||||||
\(350\) | −8.81074 | + | 9.86767i | −0.470954 | + | 0.527449i | ||||
\(351\) | 0.733237 | 0.0391373 | ||||||||
\(352\) | 2.20761 | − | 4.95838i | 0.117666 | − | 0.264283i | ||||
\(353\) | −23.1625 | + | 20.8556i | −1.23282 | + | 1.11003i | −0.242653 | + | 0.970113i | \(0.578018\pi\) |
−0.990163 | + | 0.139919i | \(0.955316\pi\) | |||||||
\(354\) | 0.500415 | + | 0.555768i | 0.0265968 | + | 0.0295387i | ||||
\(355\) | 24.2224 | + | 13.3531i | 1.28559 | + | 0.708708i | ||||
\(356\) | −3.40537 | − | 10.4807i | −0.180484 | − | 0.555474i | ||||
\(357\) | 4.12882 | + | 6.12771i | 0.218520 | + | 0.324313i | ||||
\(358\) | 12.3182 | − | 4.00241i | 0.651035 | − | 0.211534i | ||||
\(359\) | 0.782342 | − | 7.44348i | 0.0412904 | − | 0.392852i | −0.954286 | − | 0.298895i | \(-0.903382\pi\) |
0.995576 | − | 0.0939567i | \(-0.0299515\pi\) | |||||||
\(360\) | −6.23939 | + | 0.123438i | −0.328845 | + | 0.00650575i | ||||
\(361\) | 1.89468 | + | 18.0267i | 0.0997201 | + | 0.948773i | ||||
\(362\) | −16.9971 | − | 1.78647i | −0.893350 | − | 0.0938948i | ||||
\(363\) | 4.96160 | − | 6.82905i | 0.260416 | − | 0.358432i | ||||
\(364\) | 0.721514 | − | 0.126858i | 0.0378176 | − | 0.00664915i | ||||
\(365\) | 0.518783 | − | 6.09304i | 0.0271544 | − | 0.318924i | ||||
\(366\) | −0.143530 | + | 1.36560i | −0.00750243 | + | 0.0713809i | ||||
\(367\) | 6.16422 | − | 29.0004i | 0.321770 | − | 1.51381i | −0.458687 | − | 0.888598i | \(-0.651680\pi\) |
0.780457 | − | 0.625210i | \(-0.214987\pi\) | |||||||
\(368\) | −3.91941 | − | 2.26287i | −0.204313 | − | 0.117960i | ||||
\(369\) | −9.29571 | + | 10.3239i | −0.483915 | + | 0.537442i | ||||
\(370\) | 7.56731 | + | 6.54729i | 0.393405 | + | 0.340378i | ||||
\(371\) | −4.44873 | + | 4.60227i | −0.230966 | + | 0.238938i | ||||
\(372\) | 3.62103 | + | 1.17655i | 0.187742 | + | 0.0610010i | ||||
\(373\) | 11.9552 | − | 26.8518i | 0.619015 | − | 1.39033i | −0.283207 | − | 0.959059i | \(-0.591398\pi\) |
0.902222 | − | 0.431272i | \(-0.141935\pi\) | |||||||
\(374\) | −16.5737 | + | 28.7064i | −0.857004 | + | 1.48437i | ||||
\(375\) | −0.835041 | − | 5.04401i | −0.0431213 | − | 0.260472i | ||||
\(376\) | −4.22682 | − | 7.32107i | −0.217982 | − | 0.377555i | ||||
\(377\) | 0.830868 | + | 1.14359i | 0.0427919 | + | 0.0588980i | ||||
\(378\) | −6.73579 | + | 1.92788i | −0.346452 | + | 0.0991597i | ||||
\(379\) | 2.80088 | − | 8.62022i | 0.143871 | − | 0.442791i | −0.852993 | − | 0.521923i | \(-0.825215\pi\) |
0.996864 | + | 0.0791321i | \(0.0252149\pi\) | |||||||
\(380\) | 0.394102 | − | 2.05298i | 0.0202170 | − | 0.105316i | ||||
\(381\) | 1.47239 | + | 0.312967i | 0.0754330 | + | 0.0160338i | ||||
\(382\) | 20.6224 | + | 11.9063i | 1.05513 | + | 0.609181i | ||||
\(383\) | −6.51582 | − | 5.86687i | −0.332943 | − | 0.299783i | 0.485654 | − | 0.874151i | \(-0.338581\pi\) |
−0.818598 | + | 0.574368i | \(0.805248\pi\) | |||||||
\(384\) | 0.369956 | + | 0.268789i | 0.0188792 | + | 0.0137166i | ||||
\(385\) | −32.1063 | − | 0.501409i | −1.63629 | − | 0.0255542i | ||||
\(386\) | −9.89288 | + | 7.18760i | −0.503534 | + | 0.365839i | ||||
\(387\) | −19.1615 | − | 2.01395i | −0.974032 | − | 0.102375i | ||||
\(388\) | −0.679072 | − | 1.52522i | −0.0344747 | − | 0.0774314i | ||||
\(389\) | 3.12807 | + | 29.7616i | 0.158599 | + | 1.50897i | 0.727238 | + | 0.686385i | \(0.240804\pi\) |
−0.568639 | + | 0.822587i | \(0.692530\pi\) | |||||||
\(390\) | −0.136687 | + | 0.247949i | −0.00692140 | + | 0.0125554i | ||||
\(391\) | 22.3608 | + | 16.2460i | 1.13083 | + | 0.821598i | ||||
\(392\) | −6.29456 | + | 3.06243i | −0.317924 | + | 0.154676i | ||||
\(393\) | 7.48358i | 0.377497i | ||||||||
\(394\) | 3.77841 | − | 4.19635i | 0.190354 | − | 0.211409i | ||||
\(395\) | −0.413550 | − | 20.9036i | −0.0208080 | − | 1.05177i | ||||
\(396\) | −10.1359 | − | 11.2571i | −0.509349 | − | 0.565689i | ||||
\(397\) | −0.979854 | − | 4.60985i | −0.0491775 | − | 0.231362i | 0.946694 | − | 0.322133i | \(-0.104400\pi\) |
−0.995872 | + | 0.0907717i | \(0.971067\pi\) | |||||||
\(398\) | 8.04774 | + | 11.0768i | 0.403397 | + | 0.555228i | ||||
\(399\) | −0.0783480 | − | 1.12838i | −0.00392230 | − | 0.0564896i | ||||
\(400\) | 2.32678 | − | 4.42562i | 0.116339 | − | 0.221281i | ||||
\(401\) | −14.2842 | − | 24.7410i | −0.713320 | − | 1.23551i | −0.963604 | − | 0.267334i | \(-0.913857\pi\) |
0.250284 | − | 0.968172i | \(-0.419476\pi\) | |||||||
\(402\) | −5.93236 | + | 0.623516i | −0.295879 | + | 0.0310981i | ||||
\(403\) | −1.71322 | + | 1.54259i | −0.0853418 | + | 0.0768421i | ||||
\(404\) | −16.5403 | + | 3.51575i | −0.822910 | + | 0.174915i | ||||
\(405\) | −6.22285 | + | 14.7555i | −0.309216 | + | 0.733208i | ||||
\(406\) | −10.6395 | − | 8.32090i | −0.528030 | − | 0.412959i | ||||
\(407\) | 24.2890i | 1.20396i | ||||||||
\(408\) | −2.07541 | − | 1.86871i | −0.102748 | − | 0.0925150i | ||||
\(409\) | −25.0764 | + | 11.1647i | −1.23995 | + | 0.552060i | −0.918708 | − | 0.394939i | \(-0.870766\pi\) |
−0.321239 | + | 0.946998i | \(0.604099\pi\) | |||||||
\(410\) | −3.64822 | − | 10.5156i | −0.180173 | − | 0.519330i | ||||
\(411\) | 4.86254 | + | 2.16494i | 0.239851 | + | 0.106789i | ||||
\(412\) | 0.446174 | − | 0.614105i | 0.0219814 | − | 0.0302548i | ||||
\(413\) | 3.82142 | − | 2.02948i | 0.188040 | − | 0.0998643i | ||||
\(414\) | −10.2186 | + | 7.42422i | −0.502215 | + | 0.364880i | ||||
\(415\) | 1.46847 | + | 11.7339i | 0.0720844 | + | 0.575992i | ||||
\(416\) | −0.252951 | + | 0.112621i | −0.0124020 | + | 0.00552171i | ||||
\(417\) | 0.117968 | − | 0.554995i | 0.00577691 | − | 0.0271782i | ||||
\(418\) | 4.39439 | − | 2.53710i | 0.214937 | − | 0.124094i | ||||
\(419\) | −5.42645 | − | 16.7009i | −0.265100 | − | 0.815893i | −0.991670 | − | 0.128801i | \(-0.958887\pi\) |
0.726571 | − | 0.687092i | \(-0.241113\pi\) | |||||||
\(420\) | 0.603731 | − | 2.63714i | 0.0294590 | − | 0.128679i | ||||
\(421\) | 0.971951 | − | 2.99136i | 0.0473700 | − | 0.145790i | −0.924574 | − | 0.381003i | \(-0.875579\pi\) |
0.971944 | + | 0.235213i | \(0.0755788\pi\) | |||||||
\(422\) | 2.34129 | + | 11.0149i | 0.113972 | + | 0.536198i | ||||
\(423\) | −23.4639 | + | 2.46615i | −1.14085 | + | 0.119909i | ||||
\(424\) | 1.20966 | − | 2.09520i | 0.0587465 | − | 0.101752i | ||||
\(425\) | −16.9573 | + | 25.3945i | −0.822552 | + | 1.23182i | ||||
\(426\) | −5.65648 | −0.274058 | ||||||||
\(427\) | 7.46403 | + | 2.72083i | 0.361210 | + | 0.131670i | ||||
\(428\) | 2.00648 | + | 0.651946i | 0.0969871 | + | 0.0315130i | ||||
\(429\) | −0.672223 | + | 0.142885i | −0.0324552 | + | 0.00689857i | ||||
\(430\) | 8.82473 | − | 12.6657i | 0.425566 | − | 0.610793i | ||||
\(431\) | −2.28836 | − | 0.486406i | −0.110227 | − | 0.0234294i | 0.152468 | − | 0.988308i | \(-0.451278\pi\) |
−0.262695 | + | 0.964879i | \(0.584611\pi\) | |||||||
\(432\) | 2.29334 | − | 1.32406i | 0.110338 | − | 0.0637038i | ||||
\(433\) | 18.7246 | − | 6.08398i | 0.899845 | − | 0.292377i | 0.177672 | − | 0.984090i | \(-0.443143\pi\) |
0.722173 | + | 0.691713i | \(0.243143\pi\) | |||||||
\(434\) | 11.6824 | − | 18.6754i | 0.560775 | − | 0.896449i | ||||
\(435\) | 5.08362 | − | 1.18612i | 0.243741 | − | 0.0568700i | ||||
\(436\) | 9.58523 | + | 4.26762i | 0.459049 | + | 0.204382i | ||||
\(437\) | −1.72092 | − | 3.86526i | −0.0823229 | − | 0.184900i | ||||
\(438\) | 0.508655 | + | 1.14246i | 0.0243045 | + | 0.0545887i | ||||
\(439\) | 11.1318 | + | 4.95621i | 0.531293 | + | 0.236547i | 0.654807 | − | 0.755796i | \(-0.272750\pi\) |
−0.123514 | + | 0.992343i | \(0.539416\pi\) | |||||||
\(440\) | 11.8191 | − | 2.75765i | 0.563453 | − | 0.131466i | ||||
\(441\) | 0.662656 | + | 19.5250i | 0.0315550 | + | 0.929760i | ||||
\(442\) | 1.60824 | − | 0.522550i | 0.0764964 | − | 0.0248552i | ||||
\(443\) | −8.84755 | + | 5.10814i | −0.420360 | + | 0.242695i | −0.695231 | − | 0.718786i | \(-0.744698\pi\) |
0.274871 | + | 0.961481i | \(0.411365\pi\) | |||||||
\(444\) | −2.00169 | − | 0.425472i | −0.0949959 | − | 0.0201920i | ||||
\(445\) | 14.0868 | − | 20.2180i | 0.667777 | − | 0.958424i | ||||
\(446\) | −22.1542 | + | 4.70901i | −1.04903 | + | 0.222978i | ||||
\(447\) | 6.80499 | + | 2.21107i | 0.321865 | + | 0.104580i | ||||
\(448\) | 2.02760 | − | 1.69966i | 0.0957949 | − | 0.0803015i | ||||
\(449\) | 15.9390 | 0.752207 | 0.376103 | − | 0.926578i | \(-0.377264\pi\) | ||||
0.376103 | + | 0.926578i | \(0.377264\pi\) | |||||||
\(450\) | −8.64230 | − | 10.9561i | −0.407402 | − | 0.516477i | ||||
\(451\) | 13.5086 | − | 23.3975i | 0.636094 | − | 1.10175i | ||||
\(452\) | 4.38043 | − | 0.460402i | 0.206038 | − | 0.0216555i | ||||
\(453\) | 0.884136 | + | 4.15953i | 0.0415403 | + | 0.195432i | ||||
\(454\) | 5.83660 | − | 17.9632i | 0.273925 | − | 0.843055i | ||||
\(455\) | 1.20008 | + | 1.11498i | 0.0562607 | + | 0.0522711i | ||||
\(456\) | 0.132109 | + | 0.406590i | 0.00618658 | + | 0.0190403i | ||||
\(457\) | 22.0388 | − | 12.7241i | 1.03093 | − | 0.595208i | 0.113679 | − | 0.993518i | \(-0.463736\pi\) |
0.917251 | + | 0.398310i | \(0.130403\pi\) | |||||||
\(458\) | 1.66063 | − | 7.81263i | 0.0775960 | − | 0.365060i | ||||
\(459\) | −14.7743 | + | 6.57793i | −0.689604 | + | 0.307032i | ||||
\(460\) | −1.25668 | − | 10.0415i | −0.0585930 | − | 0.468189i | ||||
\(461\) | 8.49738 | − | 6.17371i | 0.395762 | − | 0.287538i | −0.372050 | − | 0.928213i | \(-0.621345\pi\) |
0.767813 | + | 0.640674i | \(0.221345\pi\) | |||||||
\(462\) | 5.79961 | − | 3.08006i | 0.269822 | − | 0.143297i | ||||
\(463\) | 1.53085 | − | 2.10704i | 0.0711448 | − | 0.0979225i | −0.771962 | − | 0.635669i | \(-0.780724\pi\) |
0.843106 | + | 0.537747i | \(0.180724\pi\) | |||||||
\(464\) | 4.66377 | + | 2.07644i | 0.216510 | + | 0.0963964i | ||||
\(465\) | 2.79047 | + | 8.04326i | 0.129405 | + | 0.372997i | ||||
\(466\) | −3.86840 | + | 1.72232i | −0.179200 | + | 0.0797850i | ||||
\(467\) | 18.8023 | + | 16.9297i | 0.870068 | + | 0.783413i | 0.977530 | − | 0.210797i | \(-0.0676057\pi\) |
−0.107462 | + | 0.994209i | \(0.534272\pi\) | |||||||
\(468\) | 0.772768i | 0.0357212i | ||||||||
\(469\) | −4.81990 | + | 34.1737i | −0.222562 | + | 1.57800i | ||||
\(470\) | 7.34543 | − | 17.4174i | 0.338819 | − | 0.803403i | ||||
\(471\) | 9.72656 | − | 2.06744i | 0.448176 | − | 0.0952628i | ||||
\(472\) | −1.21535 | + | 1.09431i | −0.0559410 | + | 0.0503695i | ||||
\(473\) | 37.2646 | − | 3.91667i | 1.71343 | − | 0.180089i | ||||
\(474\) | 2.13788 | + | 3.70292i | 0.0981961 | + | 0.170081i | ||||
\(475\) | 4.19176 | − | 2.06867i | 0.192331 | − | 0.0949171i | ||||
\(476\) | −13.4000 | + | 9.02888i | −0.614189 | + | 0.413838i | ||||
\(477\) | −3.96877 | − | 5.46254i | −0.181717 | − | 0.250113i | ||||
\(478\) | −3.11169 | − | 14.6394i | −0.142326 | − | 0.669589i | ||||
\(479\) | −0.882494 | − | 0.980109i | −0.0403222 | − | 0.0447823i | 0.722646 | − | 0.691218i | \(-0.242926\pi\) |
−0.762969 | + | 0.646436i | \(0.776259\pi\) | |||||||
\(480\) | 0.0202255 | + | 1.02233i | 0.000923163 | + | 0.0466629i | ||||
\(481\) | 0.829120 | − | 0.920831i | 0.0378046 | − | 0.0419863i | ||||
\(482\) | 12.2776i | 0.559228i | ||||||||
\(483\) | −2.04870 | − | 5.07789i | −0.0932193 | − | 0.231052i | ||||
\(484\) | 14.9337 | + | 10.8500i | 0.678806 | + | 0.493181i | ||||
\(485\) | 1.80231 | − | 3.26938i | 0.0818388 | − | 0.148455i | ||||
\(486\) | −1.17274 | − | 11.1579i | −0.0531965 | − | 0.506131i | ||||
\(487\) | 6.95596 | + | 15.6233i | 0.315205 | + | 0.707962i | 0.999780 | − | 0.0209808i | \(-0.00667889\pi\) |
−0.684575 | + | 0.728942i | \(0.740012\pi\) | |||||||
\(488\) | −2.98628 | − | 0.313870i | −0.135182 | − | 0.0142082i | ||||
\(489\) | −3.69190 | + | 2.68233i | −0.166954 | + | 0.121299i | ||||
\(490\) | −13.9560 | − | 7.08728i | −0.630469 | − | 0.320171i | ||||
\(491\) | −19.0939 | − | 13.8725i | −0.861694 | − | 0.626057i | 0.0666513 | − | 0.997776i | \(-0.478768\pi\) |
−0.928345 | + | 0.371719i | \(0.878768\pi\) | |||||||
\(492\) | 1.69159 | + | 1.52312i | 0.0762628 | + | 0.0686673i | ||||
\(493\) | −27.0008 | − | 15.5889i | −1.21605 | − | 0.702089i | ||||
\(494\) | −0.253203 | − | 0.0538200i | −0.0113922 | − | 0.00242148i | ||||
\(495\) | 6.38561 | − | 33.2643i | 0.287012 | − | 1.49512i | ||||
\(496\) | −2.57286 | + | 7.91845i | −0.115525 | + | 0.355549i | ||||
\(497\) | −7.93290 | + | 31.7508i | −0.355839 | + | 1.42422i | ||||
\(498\) | −1.42148 | − | 1.95650i | −0.0636981 | − | 0.0876729i | ||||
\(499\) | −19.1628 | − | 33.1909i | −0.857843 | − | 1.48583i | −0.873982 | − | 0.485958i | \(-0.838471\pi\) |
0.0161391 | − | 0.999870i | \(-0.494863\pi\) | |||||||
\(500\) | 11.0302 | − | 1.82606i | 0.493286 | − | 0.0816640i | ||||
\(501\) | 0.715733 | − | 1.23969i | 0.0319766 | − | 0.0553851i | ||||
\(502\) | −8.17772 | + | 18.3675i | −0.364990 | + | 0.819780i | ||||
\(503\) | −33.0308 | − | 10.7324i | −1.47277 | − | 0.478532i | −0.540827 | − | 0.841134i | \(-0.681889\pi\) |
−0.931944 | + | 0.362602i | \(0.881889\pi\) | |||||||
\(504\) | −2.03182 | − | 7.09894i | −0.0905046 | − | 0.316212i | ||||
\(505\) | −28.5943 | − | 24.7401i | −1.27243 | − | 1.10092i | ||||
\(506\) | 16.4366 | − | 18.2546i | 0.730694 | − | 0.811518i | ||||
\(507\) | −5.11797 | − | 2.95486i | −0.227297 | − | 0.131230i | ||||
\(508\) | −0.684394 | + | 3.21982i | −0.0303651 | + | 0.142856i | ||||
\(509\) | 3.52546 | − | 33.5425i | 0.156263 | − | 1.48675i | −0.582527 | − | 0.812811i | \(-0.697936\pi\) |
0.738791 | − | 0.673935i | \(-0.235397\pi\) | |||||||
\(510\) | 0.529785 | − | 6.22225i | 0.0234593 | − | 0.275526i | ||||
\(511\) | 7.12616 | − | 1.25293i | 0.315243 | − | 0.0554265i | ||||
\(512\) | −0.587785 | + | 0.809017i | −0.0259767 | + | 0.0357538i | ||||
\(513\) | 2.46212 | + | 0.258780i | 0.108705 | + | 0.0114254i | ||||
\(514\) | 0.156058 | + | 1.48480i | 0.00688344 | + | 0.0654915i | ||||
\(515\) | 1.69701 | − | 0.0335731i | 0.0747793 | − | 0.00147941i | ||||
\(516\) | −0.329989 | + | 3.13963i | −0.0145269 | + | 0.138215i | ||||
\(517\) | 43.6375 | − | 14.1787i | 1.91917 | − | 0.623578i | ||||
\(518\) | −5.19550 | + | 10.6391i | −0.228277 | + | 0.467455i | ||||
\(519\) | −2.21710 | − | 6.82355i | −0.0973201 | − | 0.299520i | ||||
\(520\) | −0.542213 | − | 0.298906i | −0.0237776 | − | 0.0131079i | ||||
\(521\) | 2.28855 | + | 2.54169i | 0.100263 | + | 0.111353i | 0.791188 | − | 0.611573i | \(-0.209463\pi\) |
−0.690925 | + | 0.722927i | \(0.742796\pi\) | |||||||
\(522\) | 10.5882 | − | 9.53366i | 0.463433 | − | 0.417277i | ||||
\(523\) | −3.84944 | + | 8.64598i | −0.168324 | + | 0.378062i | −0.977936 | − | 0.208903i | \(-0.933011\pi\) |
0.809612 | + | 0.586965i | \(0.199677\pi\) | |||||||
\(524\) | −16.3651 | −0.714911 | ||||||||
\(525\) | 5.51609 | − | 2.48350i | 0.240742 | − | 0.108389i | ||||
\(526\) | −27.4670 | −1.19762 | ||||||||
\(527\) | 20.6817 | − | 46.4519i | 0.900909 | − | 2.02347i | ||||
\(528\) | −1.84449 | + | 1.66078i | −0.0802710 | + | 0.0722763i | ||||
\(529\) | 1.68462 | + | 1.87096i | 0.0732444 | + | 0.0813462i | ||||
\(530\) | 5.36791 | − | 0.671784i | 0.233167 | − | 0.0291804i | ||||
\(531\) | 1.41043 | + | 4.34086i | 0.0612075 | + | 0.188377i | ||||
\(532\) | 2.46753 | − | 0.171331i | 0.106981 | − | 0.00742813i | ||||
\(533\) | −1.31082 | + | 0.425911i | −0.0567779 | + | 0.0184483i | ||||
\(534\) | −0.526755 | + | 5.01174i | −0.0227949 | + | 0.216879i | ||||
\(535\) | 1.54626 | + | 4.45692i | 0.0668505 | + | 0.192690i | ||||
\(536\) | −1.36350 | − | 12.9728i | −0.0588943 | − | 0.560341i | ||||
\(537\) | −5.89042 | − | 0.619108i | −0.254190 | − | 0.0267165i | ||||
\(538\) | 13.7976 | − | 18.9908i | 0.594856 | − | 0.818750i | ||||
\(539\) | −9.15527 | − | 36.8738i | −0.394345 | − | 1.58827i | ||||
\(540\) | 5.45602 | + | 2.30097i | 0.234790 | + | 0.0990179i | ||||
\(541\) | 1.27789 | − | 12.1583i | 0.0549407 | − | 0.522726i | −0.932094 | − | 0.362217i | \(-0.882020\pi\) |
0.987034 | − | 0.160509i | \(-0.0513135\pi\) | |||||||
\(542\) | −2.69088 | + | 12.6596i | −0.115583 | + | 0.543777i | ||||
\(543\) | 6.76837 | + | 3.90772i | 0.290459 | + | 0.167696i | ||||
\(544\) | 4.08648 | − | 4.53850i | 0.175207 | − | 0.194587i | ||||
\(545\) | 5.33091 | + | 22.8479i | 0.228351 | + | 0.978698i | ||||
\(546\) | −0.325012 | − | 0.0812038i | −0.0139092 | − | 0.00347520i | ||||
\(547\) | 7.54863 | + | 2.45270i | 0.322756 | + | 0.104870i | 0.465914 | − | 0.884830i | \(-0.345726\pi\) |
−0.143158 | + | 0.989700i | \(0.545726\pi\) | |||||||
\(548\) | −4.73428 | + | 10.6334i | −0.202238 | + | 0.454235i | ||||
\(549\) | −4.19013 | + | 7.25752i | −0.178831 | + | 0.309744i | ||||
\(550\) | 20.8700 | + | 17.3471i | 0.889900 | + | 0.739682i | ||||
\(551\) | 2.38635 | + | 4.13329i | 0.101662 | + | 0.176084i | ||||
\(552\) | 1.21647 | + | 1.67433i | 0.0517764 | + | 0.0712640i | ||||
\(553\) | 23.7833 | − | 6.80715i | 1.01137 | − | 0.289469i | ||||
\(554\) | 7.64136 | − | 23.5177i | 0.324650 | − | 0.999171i | ||||
\(555\) | −1.94351 | − | 4.14266i | −0.0824974 | − | 0.175846i | ||||
\(556\) | 1.21366 | + | 0.257971i | 0.0514707 | + | 0.0109404i | ||||
\(557\) | −30.0853 | − | 17.3698i | −1.27476 | − | 0.735980i | −0.298876 | − | 0.954292i | \(-0.596612\pi\) |
−0.975879 | + | 0.218311i | \(0.929945\pi\) | |||||||
\(558\) | 17.2683 | + | 15.5484i | 0.731025 | + | 0.658218i | ||||
\(559\) | −1.54645 | − | 1.12356i | −0.0654080 | − | 0.0475217i | ||||
\(560\) | 5.76689 | + | 1.32023i | 0.243695 | + | 0.0557901i | ||||
\(561\) | 12.2631 | − | 8.90963i | 0.517746 | − | 0.376165i | ||||
\(562\) | −29.2645 | − | 3.07582i | −1.23445 | − | 0.129746i | ||||
\(563\) | −10.9814 | − | 24.6646i | −0.462810 | − | 1.03949i | −0.982691 | − | 0.185251i | \(-0.940690\pi\) |
0.519881 | − | 0.854239i | \(-0.325976\pi\) | |||||||
\(564\) | 0.404083 | + | 3.84459i | 0.0170150 | + | 0.161887i | ||||
\(565\) | 6.73368 | + | 7.18737i | 0.283288 | + | 0.302375i | ||||
\(566\) | 20.0176 | + | 14.5436i | 0.841403 | + | 0.611315i | ||||
\(567\) | −18.7624 | − | 2.64626i | −0.787946 | − | 0.111133i | ||||
\(568\) | − | 12.3696i | − | 0.519015i | ||||||
\(569\) | −1.22548 | + | 1.36103i | −0.0513747 | + | 0.0570573i | −0.768284 | − | 0.640109i | \(-0.778889\pi\) |
0.716910 | + | 0.697166i | \(0.245556\pi\) | |||||||
\(570\) | −0.546486 | + | 0.784343i | −0.0228898 | + | 0.0328525i | ||||
\(571\) | −7.47249 | − | 8.29904i | −0.312714 | − | 0.347304i | 0.566214 | − | 0.824258i | \(-0.308407\pi\) |
−0.878928 | + | 0.476954i | \(0.841741\pi\) | |||||||
\(572\) | −0.312461 | − | 1.47001i | −0.0130646 | − | 0.0614643i | ||||
\(573\) | −6.40057 | − | 8.80963i | −0.267388 | − | 0.368028i | ||||
\(574\) | 10.9219 | − | 7.35909i | 0.455869 | − | 0.307163i | ||||
\(575\) | 16.2044 | − | 15.7948i | 0.675770 | − | 0.658691i | ||||
\(576\) | 1.39544 | + | 2.41698i | 0.0581434 | + | 0.100707i | ||||
\(577\) | 21.5289 | − | 2.26278i | 0.896261 | − | 0.0942008i | 0.354815 | − | 0.934937i | \(-0.384544\pi\) |
0.541446 | + | 0.840736i | \(0.317877\pi\) | |||||||
\(578\) | −15.0839 | + | 13.5816i | −0.627406 | + | 0.564919i | ||||
\(579\) | 5.46968 | − | 1.16262i | 0.227312 | − | 0.0483166i | ||||
\(580\) | 2.59379 | + | 11.1168i | 0.107701 | + | 0.461601i | ||||
\(581\) | −12.9757 | + | 5.23513i | −0.538323 | + | 0.217190i | ||||
\(582\) | 0.763475i | 0.0316471i | ||||||||
\(583\) | 9.75839 | + | 8.78650i | 0.404151 | + | 0.363899i | ||||
\(584\) | −2.49832 | + | 1.11232i | −0.103381 | + | 0.0460283i | ||||
\(585\) | −1.37759 | + | 1.04312i | −0.0569562 | + | 0.0431278i | ||||
\(586\) | 5.82566 | + | 2.59375i | 0.240656 | + | 0.107147i | ||||
\(587\) | −4.73747 | + | 6.52057i | −0.195536 | + | 0.269133i | −0.895515 | − | 0.445031i | \(-0.853193\pi\) |
0.699979 | + | 0.714163i | \(0.253193\pi\) | |||||||
\(588\) | 3.19919 | − | 0.108577i | 0.131932 | − | 0.00447764i | ||||
\(589\) | −6.29723 | + | 4.57521i | −0.259473 | + | 0.188518i | ||||
\(590\) | −3.59132 | − | 0.689411i | −0.147852 | − | 0.0283826i | ||||
\(591\) | −2.35896 | + | 1.05028i | −0.0970347 | + | 0.0432026i | ||||
\(592\) | 0.930419 | − | 4.37728i | 0.0382400 | − | 0.179905i | ||||
\(593\) | −9.02376 | + | 5.20987i | −0.370561 | + | 0.213944i | −0.673704 | − | 0.739002i | \(-0.735298\pi\) |
0.303142 | + | 0.952945i | \(0.401964\pi\) | |||||||
\(594\) | 4.44150 | + | 13.6695i | 0.182237 | + | 0.560867i | ||||
\(595\) | −34.1835 | − | 11.7001i | −1.40139 | − | 0.479658i | ||||
\(596\) | −4.83516 | + | 14.8811i | −0.198056 | + | 0.609554i | ||||
\(597\) | −1.30175 | − | 6.12423i | −0.0532769 | − | 0.250648i | ||||
\(598\) | −1.24627 | + | 0.130988i | −0.0509637 | + | 0.00535650i | ||||
\(599\) | 4.73999 | − | 8.20991i | 0.193671 | − | 0.335448i | −0.752793 | − | 0.658257i | \(-0.771294\pi\) |
0.946464 | + | 0.322809i | \(0.104627\pi\) | |||||||
\(600\) | −1.79518 | + | 1.41605i | −0.0732878 | + | 0.0578102i | ||||
\(601\) | 13.9368 | 0.568494 | 0.284247 | − | 0.958751i | \(-0.408256\pi\) | ||||
0.284247 | + | 0.958751i | \(0.408256\pi\) | |||||||
\(602\) | 17.1605 | + | 6.25544i | 0.699409 | + | 0.254953i | ||||
\(603\) | −34.6234 | − | 11.2498i | −1.40997 | − | 0.458128i | ||||
\(604\) | −9.09604 | + | 1.93342i | −0.370112 | + | 0.0786698i | ||||
\(605\) | 0.816427 | + | 41.2677i | 0.0331925 | + | 1.67777i | ||||
\(606\) | 7.56372 | + | 1.60772i | 0.307255 | + | 0.0653091i | ||||
\(607\) | −25.6096 | + | 14.7857i | −1.03946 | + | 0.600134i | −0.919681 | − | 0.392666i | \(-0.871553\pi\) |
−0.119782 | + | 0.992800i | \(0.538219\pi\) | |||||||
\(608\) | −0.889128 | + | 0.288895i | −0.0360589 | + | 0.0117163i | ||||
\(609\) | 2.89705 | + | 5.45501i | 0.117394 | + | 0.221048i | ||||
\(610\) | −3.47151 | − | 5.74721i | −0.140557 | − | 0.232698i | ||||
\(611\) | −2.13836 | − | 0.952059i | −0.0865088 | − | 0.0385162i | ||||
\(612\) | −6.93257 | − | 15.5708i | −0.280233 | − | 0.629413i | ||||
\(613\) | 9.81515 | + | 22.0452i | 0.396430 | + | 0.890397i | 0.995939 | + | 0.0900286i | \(0.0286959\pi\) |
−0.599509 | + | 0.800368i | \(0.704637\pi\) | |||||||
\(614\) | 25.6353 | + | 11.4136i | 1.03456 | + | 0.460614i | ||||
\(615\) | −0.431807 | + | 5.07152i | −0.0174121 | + | 0.204503i | ||||
\(616\) | 6.73546 | + | 12.6826i | 0.271379 | + | 0.510995i | ||||
\(617\) | −44.0942 | + | 14.3271i | −1.77516 | + | 0.576786i | −0.998582 | − | 0.0532303i | \(-0.983048\pi\) |
−0.776582 | + | 0.630016i | \(0.783048\pi\) | |||||||
\(618\) | −0.300613 | + | 0.173559i | −0.0120924 | + | 0.00698157i | ||||
\(619\) | −15.1768 | − | 3.22592i | −0.610006 | − | 0.129661i | −0.107457 | − | 0.994210i | \(-0.534271\pi\) |
−0.502548 | + | 0.864549i | \(0.667604\pi\) | |||||||
\(620\) | −17.5889 | + | 6.10219i | −0.706389 | + | 0.245070i | ||||
\(621\) | 11.7228 | − | 2.49176i | 0.470420 | − | 0.0999909i | ||||
\(622\) | −9.55576 | − | 3.10485i | −0.383151 | − | 0.124493i | ||||
\(623\) | 27.3930 | + | 9.98545i | 1.09748 | + | 0.400059i | ||||
\(624\) | 0.126619 | 0.00506882 | ||||||||
\(625\) | 18.1444 | + | 17.1983i | 0.725777 | + | 0.687930i | ||||
\(626\) | 9.71225 | − | 16.8221i | 0.388180 | − | 0.672347i | ||||
\(627\) | −2.30767 | + | 0.242546i | −0.0921596 | + | 0.00968637i | ||||
\(628\) | 4.52107 | + | 21.2700i | 0.180411 | + | 0.848765i | ||||
\(629\) | −8.44541 | + | 25.9923i | −0.336741 | + | 1.03638i | ||||
\(630\) | 9.91238 | − | 13.2046i | 0.394919 | − | 0.526083i | ||||
\(631\) | 5.93898 | + | 18.2783i | 0.236427 | + | 0.727647i | 0.996929 | + | 0.0783117i | \(0.0249529\pi\) |
−0.760502 | + | 0.649336i | \(0.775047\pi\) | |||||||
\(632\) | −8.09752 | + | 4.67510i | −0.322102 | + | 0.185966i | ||||
\(633\) | 1.07065 | − | 5.03702i | 0.0425546 | − | 0.200204i | ||||
\(634\) | 24.4990 | − | 10.9077i | 0.972980 | − | 0.433198i | ||||
\(635\) | −6.66369 | + | 3.12624i | −0.264441 | + | 0.124061i | ||||
\(636\) | −0.895045 | + | 0.650288i | −0.0354908 | + | 0.0257856i | ||||
\(637\) | −0.911621 | + | 1.71046i | −0.0361197 | + | 0.0677709i | ||||
\(638\) | −16.2868 | + | 22.4168i | −0.644800 | + | 0.887490i | ||||
\(639\) | −31.5374 | − | 14.0414i | −1.24760 | − | 0.555468i | ||||
\(640\) | −2.23563 | + | 0.0442290i | −0.0883711 | + | 0.00174830i | ||||
\(641\) | −38.2108 | + | 17.0126i | −1.50924 | + | 0.671956i | −0.983864 | − | 0.178916i | \(-0.942741\pi\) |
−0.525373 | + | 0.850872i | \(0.676074\pi\) | |||||||
\(642\) | −0.716961 | − | 0.645554i | −0.0282962 | − | 0.0254780i | ||||
\(643\) | − | 32.8213i | − | 1.29435i | −0.762344 | − | 0.647173i | \(-0.775951\pi\) | ||
0.762344 | − | 0.647173i | \(-0.224049\pi\) | |||||||
\(644\) | 11.1043 | − | 4.48009i | 0.437571 | − | 0.176540i | ||||
\(645\) | −6.04235 | + | 3.64978i | −0.237917 | + | 0.143710i | ||||
\(646\) | 5.58472 | − | 1.18707i | 0.219728 | − | 0.0467046i | ||||
\(647\) | −11.8090 | + | 10.6329i | −0.464262 | + | 0.418023i | −0.867780 | − | 0.496949i | \(-0.834454\pi\) |
0.403518 | + | 0.914972i | \(0.367787\pi\) | |||||||
\(648\) | 7.12246 | − | 0.748601i | 0.279797 | − | 0.0294078i | ||||
\(649\) | −4.43821 | − | 7.68720i | −0.174215 | − | 0.301749i | ||||
\(650\) | −0.199059 | − | 1.37006i | −0.00780772 | − | 0.0537383i | ||||
\(651\) | −8.35397 | + | 5.62887i | −0.327418 | + | 0.220613i | ||||
\(652\) | −5.86569 | − | 8.07343i | −0.229718 | − | 0.316180i | ||||
\(653\) | −2.54724 | − | 11.9838i | −0.0996814 | − | 0.468964i | −0.999467 | − | 0.0326326i | \(-0.989611\pi\) |
0.899786 | − | 0.436331i | \(-0.143722\pi\) | |||||||
\(654\) | −3.21052 | − | 3.56565i | −0.125541 | − | 0.139428i | ||||
\(655\) | −22.0904 | − | 29.1734i | −0.863144 | − | 1.13990i | ||||
\(656\) | −3.33074 | + | 3.69916i | −0.130043 | + | 0.144428i | ||||
\(657\) | 7.63238i | 0.297767i | ||||||||
\(658\) | 22.1470 | + | 3.12364i | 0.863381 | + | 0.121772i | ||||
\(659\) | 9.31693 | + | 6.76914i | 0.362936 | + | 0.263688i | 0.754276 | − | 0.656558i | \(-0.227988\pi\) |
−0.391340 | + | 0.920246i | \(0.627988\pi\) | |||||||
\(660\) | −5.45041 | − | 1.04629i | −0.212157 | − | 0.0407268i | ||||
\(661\) | −1.11013 | − | 10.5622i | −0.0431791 | − | 0.410821i | −0.994667 | − | 0.103136i | \(-0.967112\pi\) |
0.951488 | − | 0.307685i | \(-0.0995544\pi\) | |||||||
\(662\) | −0.151475 | − | 0.340218i | −0.00588724 | − | 0.0132230i | ||||
\(663\) | −0.769046 | − | 0.0808300i | −0.0298673 | − | 0.00313918i | ||||
\(664\) | 4.27847 | − | 3.10849i | 0.166037 | − | 0.120633i | ||||
\(665\) | 3.63623 | + | 4.16751i | 0.141007 | + | 0.161609i | ||||
\(666\) | −10.1041 | − | 7.34109i | −0.391527 | − | 0.284461i | ||||
\(667\) | 17.1700 | + | 15.4599i | 0.664825 | + | 0.598611i | ||||
\(668\) | 2.71094 | + | 1.56516i | 0.104889 | + | 0.0605579i | ||||
\(669\) | 10.1309 | + | 2.15339i | 0.391683 | + | 0.0832548i | ||||
\(670\) | 21.2857 | − | 19.9421i | 0.822339 | − | 0.770430i | ||||
\(671\) | 5.03626 | − | 15.5000i | 0.194423 | − | 0.598371i | ||||
\(672\) | −1.16317 | + | 0.332917i | −0.0448703 | + | 0.0128426i | ||||
\(673\) | 10.4550 | + | 14.3901i | 0.403010 | + | 0.554696i | 0.961496 | − | 0.274818i | \(-0.0886175\pi\) |
−0.558486 | + | 0.829514i | \(0.688618\pi\) | |||||||
\(674\) | 12.9341 | + | 22.4025i | 0.498203 | + | 0.862913i | ||||
\(675\) | 3.26296 | + | 12.8322i | 0.125592 | + | 0.493913i | ||||
\(676\) | 6.46167 | − | 11.1919i | 0.248526 | − | 0.430459i | ||||
\(677\) | 8.30171 | − | 18.6460i | 0.319061 | − | 0.716622i | −0.680814 | − | 0.732457i | \(-0.738374\pi\) |
0.999875 | + | 0.0158342i | \(0.00504039\pi\) | |||||||
\(678\) | −1.91558 | − | 0.622411i | −0.0735675 | − | 0.0239035i | ||||
\(679\) | 4.28551 | + | 1.07073i | 0.164463 | + | 0.0410909i | ||||
\(680\) | 13.6068 | + | 1.15853i | 0.521796 | + | 0.0444276i | ||||
\(681\) | −5.77937 | + | 6.41864i | −0.221466 | + | 0.245963i | ||||
\(682\) | −39.1358 | − | 22.5951i | −1.49859 | − | 0.865210i | ||||
\(683\) | −1.88927 | + | 8.88833i | −0.0722911 | + | 0.340103i | −0.999398 | − | 0.0346943i | \(-0.988954\pi\) |
0.927107 | + | 0.374797i | \(0.122288\pi\) | |||||||
\(684\) | −0.272731 | + | 2.59486i | −0.0104281 | + | 0.0992171i | ||||
\(685\) | −25.3463 | + | 5.91384i | −0.968433 | + | 0.225956i | ||||
\(686\) | 3.87722 | − | 18.1099i | 0.148033 | − | 0.691438i | ||||
\(687\) | −2.14686 | + | 2.95490i | −0.0819079 | + | 0.112736i | ||||
\(688\) | −6.86573 | − | 0.721617i | −0.261753 | − | 0.0275114i | ||||
\(689\) | −0.0700223 | − | 0.666218i | −0.00266764 | − | 0.0253809i | ||||
\(690\) | −1.34271 | + | 4.42865i | −0.0511161 | + | 0.168596i | ||||
\(691\) | −4.26164 | + | 40.5468i | −0.162120 | + | 1.54247i | 0.546847 | + | 0.837232i | \(0.315828\pi\) |
−0.708968 | + | 0.705241i | \(0.750839\pi\) | |||||||
\(692\) | 14.9217 | − | 4.84835i | 0.567237 | − | 0.184307i | ||||
\(693\) | 39.9813 | − | 2.77606i | 1.51876 | − | 0.105454i | ||||
\(694\) | 3.51694 | + | 10.8240i | 0.133501 | + | 0.410875i | ||||
\(695\) | 1.17839 | + | 2.51177i | 0.0446987 | + | 0.0952770i | ||||
\(696\) | −1.56210 | − | 1.73489i | −0.0592114 | − | 0.0657609i | ||||
\(697\) | 22.5913 | − | 20.3413i | 0.855708 | − | 0.770483i | ||||
\(698\) | −0.835039 | + | 1.87553i | −0.0316067 | + | 0.0709898i | ||||
\(699\) | 1.93639 | 0.0732410 | ||||||||
\(700\) | 5.43091 | + | 12.0626i | 0.205269 | + | 0.455922i | ||||
\(701\) | −44.3289 | −1.67428 | −0.837139 | − | 0.546990i | \(-0.815773\pi\) | ||||
−0.837139 | + | 0.546990i | \(0.815773\pi\) | |||||||
\(702\) | 0.298234 | − | 0.669845i | 0.0112561 | − | 0.0252817i | ||||
\(703\) | 3.10908 | − | 2.79942i | 0.117261 | − | 0.105582i | ||||
\(704\) | −3.63179 | − | 4.03351i | −0.136878 | − | 0.152019i | ||||
\(705\) | −6.30817 | + | 5.90998i | −0.237579 | + | 0.222583i | ||||
\(706\) | 9.63151 | + | 29.6428i | 0.362487 | + | 1.11562i | ||||
\(707\) | 19.6321 | − | 40.2017i | 0.738340 | − | 1.51194i | ||||
\(708\) | 0.711256 | − | 0.231101i | 0.0267306 | − | 0.00868531i | ||||
\(709\) | −1.31802 | + | 12.5401i | −0.0494994 | + | 0.470955i | 0.941493 | + | 0.337034i | \(0.109424\pi\) |
−0.990992 | + | 0.133921i | \(0.957243\pi\) | |||||||
\(710\) | 22.0508 | − | 16.6971i | 0.827552 | − | 0.626630i | ||||
\(711\) | 2.72771 | + | 25.9524i | 0.102297 | + | 0.973291i | ||||
\(712\) | −10.9596 | − | 1.15191i | −0.410730 | − | 0.0431695i | ||||
\(713\) | −22.1484 | + | 30.4847i | −0.829465 | + | 1.14166i | ||||
\(714\) | 7.27728 | − | 1.27950i | 0.272345 | − | 0.0478842i | ||||
\(715\) | 2.19877 | − | 2.54131i | 0.0822292 | − | 0.0950397i | ||||
\(716\) | 1.35386 | − | 12.8811i | 0.0505962 | − | 0.481390i | ||||
\(717\) | −1.42295 | + | 6.69444i | −0.0531409 | + | 0.250009i | ||||
\(718\) | −6.48175 | − | 3.74224i | −0.241897 | − | 0.139659i | ||||
\(719\) | −7.85409 | + | 8.72285i | −0.292908 | + | 0.325308i | −0.871580 | − | 0.490253i | \(-0.836904\pi\) |
0.578672 | + | 0.815560i | \(0.303571\pi\) | |||||||
\(720\) | −2.42502 | + | 5.75017i | −0.0903752 | + | 0.214296i | ||||
\(721\) | 0.552623 | + | 1.93080i | 0.0205808 | + | 0.0719067i | ||||
\(722\) | 17.2388 | + | 5.60124i | 0.641563 | + | 0.208457i | ||||
\(723\) | 2.28359 | − | 5.12903i | 0.0849276 | − | 0.190751i | ||||
\(724\) | −8.54538 | + | 14.8010i | −0.317587 | + | 0.550076i | ||||
\(725\) | −16.3164 | + | 19.6299i | −0.605974 | + | 0.729038i | ||||
\(726\) | −4.22059 | − | 7.31027i | −0.156641 | − | 0.271310i | ||||
\(727\) | −12.7296 | − | 17.5208i | −0.472114 | − | 0.649809i | 0.504852 | − | 0.863206i | \(-0.331547\pi\) |
−0.976966 | + | 0.213397i | \(0.931547\pi\) | |||||||
\(728\) | 0.177576 | − | 0.710734i | 0.00658141 | − | 0.0263415i | ||||
\(729\) | 5.05385 | − | 15.5541i | 0.187180 | − | 0.576080i | ||||
\(730\) | −5.35526 | − | 2.95220i | −0.198207 | − | 0.109266i | ||||
\(731\) | 41.2397 | + | 8.76577i | 1.52531 | + | 0.324214i | ||||
\(732\) | 1.18916 | + | 0.686559i | 0.0439525 | + | 0.0253760i | ||||
\(733\) | −8.21310 | − | 7.39511i | −0.303358 | − | 0.273145i | 0.503366 | − | 0.864073i | \(-0.332095\pi\) |
−0.806724 | + | 0.590929i | \(0.798761\pi\) | |||||||
\(734\) | −23.9860 | − | 17.4268i | −0.885338 | − | 0.643236i | ||||
\(735\) | 4.51199 | + | 5.55653i | 0.166427 | + | 0.204956i | ||||
\(736\) | −3.66141 | + | 2.66017i | −0.134961 | + | 0.0980550i | ||||
\(737\) | 70.4117 | + | 7.40057i | 2.59365 | + | 0.272603i | ||||
\(738\) | 5.65047 | + | 12.6912i | 0.207997 | + | 0.467169i | ||||
\(739\) | 3.10133 | + | 29.5072i | 0.114084 | + | 1.08544i | 0.890426 | + | 0.455127i | \(0.150406\pi\) |
−0.776342 | + | 0.630312i | \(0.782927\pi\) | |||||||
\(740\) | 9.05915 | − | 4.25005i | 0.333021 | − | 0.156235i | ||||
\(741\) | 0.0957668 | + | 0.0695786i | 0.00351808 | + | 0.00255604i | ||||
\(742\) | 2.39493 | + | 5.93603i | 0.0879205 | + | 0.217918i | ||||
\(743\) | 11.2600i | 0.413090i | 0.978437 | + | 0.206545i | \(0.0662220\pi\) | ||||
−0.978437 | + | 0.206545i | \(0.933778\pi\) | |||||||
\(744\) | 2.54763 | − | 2.82943i | 0.0934008 | − | 0.103732i | ||||
\(745\) | −33.0548 | + | 11.4678i | −1.21103 | + | 0.420148i | ||||
\(746\) | −19.6677 | − | 21.8432i | −0.720085 | − | 0.799736i | ||||
\(747\) | −3.06868 | − | 14.4370i | −0.112277 | − | 0.528222i | ||||
\(748\) | 19.4835 | + | 26.8168i | 0.712388 | + | 0.980518i | ||||
\(749\) | −4.62910 | + | 3.11906i | −0.169144 | + | 0.113968i | ||||
\(750\) | −4.94757 | − | 1.28874i | −0.180660 | − | 0.0470580i | ||||
\(751\) | 12.9895 | + | 22.4985i | 0.473993 | + | 0.820980i | 0.999557 | − | 0.0297742i | \(-0.00947882\pi\) |
−0.525564 | + | 0.850754i | \(0.676145\pi\) | |||||||
\(752\) | −8.40733 | + | 0.883646i | −0.306584 | + | 0.0322232i | ||||
\(753\) | 6.83258 | − | 6.15208i | 0.248993 | − | 0.224194i | ||||
\(754\) | 1.38267 | − | 0.293895i | 0.0503538 | − | 0.0107030i | ||||
\(755\) | −15.7250 | − | 13.6054i | −0.572290 | − | 0.495150i | ||||
\(756\) | −0.978485 | + | 6.93760i | −0.0355871 | + | 0.252318i | ||||
\(757\) | − | 17.2205i | − | 0.625889i | −0.949771 | − | 0.312944i | \(-0.898685\pi\) | ||
0.949771 | − | 0.312944i | \(-0.101315\pi\) | |||||||
\(758\) | −6.73574 | − | 6.06489i | −0.244653 | − | 0.220287i | ||||
\(759\) | −10.2618 | + | 4.56883i | −0.372479 | + | 0.165838i | ||||
\(760\) | −1.71520 | − | 1.19505i | −0.0622167 | − | 0.0433491i | ||||
\(761\) | 22.6458 | + | 10.0826i | 0.820910 | + | 0.365493i | 0.773826 | − | 0.633398i | \(-0.218340\pi\) |
0.0470842 | + | 0.998891i | \(0.485007\pi\) | |||||||
\(762\) | 0.884786 | − | 1.21780i | 0.0320524 | − | 0.0441163i | ||||
\(763\) | −24.5171 | + | 13.0206i | −0.887580 | + | 0.471376i | ||||
\(764\) | 19.2648 | − | 13.9967i | 0.696978 | − | 0.506384i | ||||
\(765\) | 18.3996 | − | 33.3767i | 0.665239 | − | 1.20674i | ||||
\(766\) | −8.00988 | + | 3.56623i | −0.289409 | + | 0.128853i | ||||
\(767\) | −0.0941485 | + | 0.442934i | −0.00339951 | + | 0.0159934i | ||||
\(768\) | 0.396025 | − | 0.228645i | 0.0142903 | − | 0.00825053i | ||||
\(769\) | −2.15172 | − | 6.62233i | −0.0775932 | − | 0.238807i | 0.904735 | − | 0.425976i | \(-0.140069\pi\) |
−0.982328 | + | 0.187168i | \(0.940069\pi\) | |||||||
\(770\) | −13.5169 | + | 29.1267i | −0.487115 | + | 1.04965i | ||||
\(771\) | 0.210973 | − | 0.649308i | 0.00759801 | − | 0.0233843i | ||||
\(772\) | 2.54240 | + | 11.9611i | 0.0915030 | + | 0.430488i | ||||
\(773\) | −40.8771 | + | 4.29635i | −1.47025 | + | 0.154529i | −0.805524 | − | 0.592563i | \(-0.798116\pi\) |
−0.664721 | + | 0.747092i | \(0.731450\pi\) | |||||||
\(774\) | −9.63350 | + | 16.6857i | −0.346269 | + | 0.599756i | ||||
\(775\) | −34.6206 | − | 23.1181i | −1.24361 | − | 0.830428i | ||||
\(776\) | −1.66956 | −0.0599338 | ||||||||
\(777\) | 4.14929 | − | 3.47820i | 0.148855 | − | 0.124780i | ||||
\(778\) | 28.4609 | + | 9.24749i | 1.02037 | + | 0.331539i | ||||
\(779\) | −4.55189 | + | 0.967535i | −0.163089 | + | 0.0346655i | ||||
\(780\) | 0.170917 | + | 0.225719i | 0.00611981 | + | 0.00808205i | ||||
\(781\) | 65.6702 | + | 13.9586i | 2.34987 | + | 0.499479i | ||||
\(782\) | 23.9364 | − | 13.8197i | 0.855966 | − | 0.494192i | ||||
\(783\) | −12.8573 | + | 4.17759i | −0.459483 | + | 0.149295i | ||||
\(784\) | 0.237436 | + | 6.99597i | 0.00847984 | + | 0.249856i | ||||
\(785\) | −31.8145 | + | 36.7709i | −1.13551 | + | 1.31241i | ||||
\(786\) | 6.83659 | + | 3.04385i | 0.243853 | + | 0.108570i | ||||
\(787\) | 0.566777 | + | 1.27300i | 0.0202034 | + | 0.0453776i | 0.923365 | − | 0.383922i | \(-0.125427\pi\) |
−0.903162 | + | 0.429300i | \(0.858760\pi\) | |||||||
\(788\) | −2.29674 | − | 5.15856i | −0.0818179 | − | 0.183766i | ||||
\(789\) | 11.4745 | + | 5.10877i | 0.408503 | + | 0.181877i | ||||
\(790\) | −19.2646 | − | 8.12447i | −0.685404 | − | 0.289056i | ||||
\(791\) | −6.18019 | + | 9.87959i | −0.219742 | + | 0.351278i | ||||
\(792\) | −14.4065 | + | 4.68095i | −0.511912 | + | 0.166330i | ||||
\(793\) | −0.720035 | + | 0.415712i | −0.0255692 | + | 0.0147624i | ||||
\(794\) | −4.60985 | − | 0.979854i | −0.163597 | − | 0.0347737i | ||||
\(795\) | −2.36743 | − | 0.717773i | −0.0839639 | − | 0.0254568i | ||||
\(796\) | 13.3924 | − | 2.84665i | 0.474682 | − | 0.100897i | ||||
\(797\) | −17.8811 | − | 5.80991i | −0.633380 | − | 0.205798i | −0.0253083 | − | 0.999680i | \(-0.508057\pi\) |
−0.608072 | + | 0.793882i | \(0.708057\pi\) | |||||||
\(798\) | −1.06269 | − | 0.387379i | −0.0376189 | − | 0.0137131i | ||||
\(799\) | 51.6277 | 1.82646 | ||||||||
\(800\) | −3.09662 | − | 3.92568i | −0.109482 | − | 0.138794i | ||||
\(801\) | −15.3778 | + | 26.6351i | −0.543348 | + | 0.941106i | ||||
\(802\) | −28.4119 | + | 2.98621i | −1.00326 | + | 0.105447i | ||||
\(803\) | −3.08608 | − | 14.5188i | −0.108905 | − | 0.512359i | ||||
\(804\) | −1.84330 | + | 5.67309i | −0.0650081 | + | 0.200074i | ||||
\(805\) | 22.9757 | + | 13.7478i | 0.809786 | + | 0.484546i | ||||
\(806\) | 0.712399 | + | 2.19254i | 0.0250932 | + | 0.0772289i | ||||
\(807\) | −9.29624 | + | 5.36719i | −0.327243 | + | 0.188934i | ||||
\(808\) | −3.51575 | + | 16.5403i | −0.123684 | + | 0.581885i | ||||
\(809\) | 18.5475 | − | 8.25787i | 0.652094 | − | 0.290331i | −0.0539024 | − | 0.998546i | \(-0.517166\pi\) |
0.705997 | + | 0.708215i | \(0.250499\pi\) | |||||||
\(810\) | 10.9488 | + | 11.6865i | 0.384701 | + | 0.410621i | ||||
\(811\) | 19.2700 | − | 14.0005i | 0.676662 | − | 0.491624i | −0.195587 | − | 0.980686i | \(-0.562661\pi\) |
0.872249 | + | 0.489063i | \(0.162661\pi\) | |||||||
\(812\) | −11.9290 | + | 6.33526i | −0.418626 | + | 0.222324i | ||||
\(813\) | 3.47878 | − | 4.78813i | 0.122006 | − | 0.167927i | ||||
\(814\) | 22.1891 | + | 9.87922i | 0.777727 | + | 0.346267i | ||||
\(815\) | 6.47441 | − | 21.3545i | 0.226789 | − | 0.748016i | ||||
\(816\) | −2.55130 | + | 1.13591i | −0.0893133 | + | 0.0397649i | ||||
\(817\) | −4.79627 | − | 4.31858i | −0.167800 | − | 0.151088i | ||||
\(818\) | 27.4495i | 0.959749i | ||||||||
\(819\) | −1.61051 | − | 1.25954i | −0.0562758 | − | 0.0440119i | ||||
\(820\) | −11.0904 | − | 0.944273i | −0.387293 | − | 0.0329755i | ||||
\(821\) | −43.6654 | + | 9.28138i | −1.52393 | + | 0.323922i | −0.892335 | − | 0.451373i | \(-0.850934\pi\) |
−0.631599 | + | 0.775295i | \(0.717601\pi\) | |||||||
\(822\) | 3.95555 | − | 3.56159i | 0.137966 | − | 0.124225i | ||||
\(823\) | 22.7009 | − | 2.38596i | 0.791305 | − | 0.0831695i | 0.299752 | − | 0.954017i | \(-0.403096\pi\) |
0.491553 | + | 0.870848i | \(0.336429\pi\) | |||||||
\(824\) | −0.379538 | − | 0.657379i | −0.0132218 | − | 0.0229009i | ||||
\(825\) | −5.49206 | − | 11.1286i | −0.191209 | − | 0.387448i | ||||
\(826\) | −0.299713 | − | 4.31651i | −0.0104283 | − | 0.150190i | ||||
\(827\) | 8.51799 | + | 11.7240i | 0.296200 | + | 0.407684i | 0.931016 | − | 0.364980i | \(-0.118924\pi\) |
−0.634816 | + | 0.772663i | \(0.718924\pi\) | |||||||
\(828\) | 2.62610 | + | 12.3548i | 0.0912632 | + | 0.429360i | ||||
\(829\) | 26.0825 | + | 28.9675i | 0.905882 | + | 1.00608i | 0.999945 | + | 0.0105177i | \(0.00334795\pi\) |
−0.0940626 | + | 0.995566i | \(0.529985\pi\) | |||||||
\(830\) | 11.3167 | + | 3.43108i | 0.392808 | + | 0.119094i | ||||
\(831\) | −7.56644 | + | 8.40338i | −0.262477 | + | 0.291510i | ||||
\(832\) | 0.276890i | 0.00959943i | ||||||||
\(833\) | 3.02392 | − | 42.6430i | 0.104773 | − | 1.47749i | ||||
\(834\) | −0.459032 | − | 0.333506i | −0.0158950 | − | 0.0115484i | ||||
\(835\) | 0.869208 | + | 6.94543i | 0.0300802 | + | 0.240357i | ||||
\(836\) | −0.530399 | − | 5.04641i | −0.0183442 | − | 0.174534i | ||||
\(837\) | −8.96777 | − | 20.1419i | −0.309971 | − | 0.696207i | ||||
\(838\) | −17.4642 | − | 1.83556i | −0.603290 | − | 0.0634083i | ||||
\(839\) | 20.7085 | − | 15.0456i | 0.714938 | − | 0.519433i | −0.169825 | − | 0.985474i | \(-0.554320\pi\) |
0.884763 | + | 0.466042i | \(0.154320\pi\) | |||||||
\(840\) | −2.16359 | − | 1.62416i | −0.0746510 | − | 0.0560388i | ||||
\(841\) | 2.37662 | + | 1.72672i | 0.0819526 | + | 0.0595420i | ||||
\(842\) | −2.33741 | − | 2.10462i | −0.0805526 | − | 0.0725299i | ||||
\(843\) | 11.6533 | + | 6.72805i | 0.401362 | + | 0.231726i | ||||
\(844\) | 11.0149 | + | 2.34129i | 0.379149 | + | 0.0805906i | ||||
\(845\) | 28.6738 | − | 3.58847i | 0.986408 | − | 0.123447i | ||||
\(846\) | −7.29068 | + | 22.4384i | −0.250659 | + | 0.771448i | ||||
\(847\) | −46.9529 | + | 13.4386i | −1.61332 | + | 0.461756i | ||||
\(848\) | −1.42205 | − | 1.95728i | −0.0488333 | − | 0.0672132i | ||||
\(849\) | −5.65740 | − | 9.79890i | −0.194161 | − | 0.336297i | ||||
\(850\) | 16.3019 | + | 25.8202i | 0.559150 | + | 0.885625i | ||||
\(851\) | 10.1265 | − | 17.5396i | 0.347132 | − | 0.601251i | ||||
\(852\) | −2.30070 | + | 5.16745i | −0.0788207 | + | 0.177034i | ||||
\(853\) | −14.5009 | − | 4.71164i | −0.496502 | − | 0.161323i | 0.0500527 | − | 0.998747i | \(-0.484061\pi\) |
−0.546555 | + | 0.837423i | \(0.684061\pi\) | |||||||
\(854\) | 5.52149 | − | 5.71207i | 0.188942 | − | 0.195463i | ||||
\(855\) | −4.99392 | + | 3.01649i | −0.170789 | + | 0.103162i | ||||
\(856\) | 1.41169 | − | 1.56784i | 0.0482507 | − | 0.0535878i | ||||
\(857\) | −28.5069 | − | 16.4585i | −0.973778 | − | 0.562211i | −0.0733922 | − | 0.997303i | \(-0.523382\pi\) |
−0.900386 | + | 0.435092i | \(0.856716\pi\) | |||||||
\(858\) | −0.142885 | + | 0.672223i | −0.00487803 | + | 0.0229493i | ||||
\(859\) | −3.26701 | + | 31.0835i | −0.111469 | + | 1.06056i | 0.785621 | + | 0.618708i | \(0.212344\pi\) |
−0.897090 | + | 0.441848i | \(0.854323\pi\) | |||||||
\(860\) | −7.98132 | − | 13.2134i | −0.272161 | − | 0.450572i | ||||
\(861\) | −5.93144 | + | 1.04287i | −0.202143 | + | 0.0355410i | ||||
\(862\) | −1.37512 | + | 1.89268i | −0.0468366 | + | 0.0644651i | ||||
\(863\) | −18.5765 | − | 1.95247i | −0.632353 | − | 0.0664629i | −0.217071 | − | 0.976156i | \(-0.569650\pi\) |
−0.415282 | + | 0.909693i | \(0.636317\pi\) | |||||||
\(864\) | −0.276804 | − | 2.63361i | −0.00941705 | − | 0.0895972i | ||||
\(865\) | 28.7851 | + | 20.0558i | 0.978722 | + | 0.681919i | ||||
\(866\) | 2.05797 | − | 19.5803i | 0.0699328 | − | 0.665366i | ||||
\(867\) | 8.82750 | − | 2.86823i | 0.299798 | − | 0.0974101i | ||||
\(868\) | −12.3092 | − | 18.2684i | −0.417800 | − | 0.620070i | ||||
\(869\) | −15.6824 | − | 48.2656i | −0.531990 | − | 1.63730i | ||||
\(870\) | 0.984123 | − | 5.12656i | 0.0333649 | − | 0.173807i | ||||
\(871\) | −2.41679 | − | 2.68412i | −0.0818897 | − | 0.0909478i | ||||
\(872\) | 7.79733 | − | 7.02075i | 0.264051 | − | 0.237753i | ||||
\(873\) | −1.89521 | + | 4.25672i | −0.0641433 | + | 0.144068i | ||||
\(874\) | −4.23105 | −0.143117 | ||||||||
\(875\) | −14.1726 | + | 25.9642i | −0.479121 | + | 0.877749i | ||||
\(876\) | 1.25058 | 0.0422530 | ||||||||
\(877\) | 10.1619 | − | 22.8240i | 0.343143 | − | 0.770711i | −0.656720 | − | 0.754134i | \(-0.728057\pi\) |
0.999863 | − | 0.0165763i | \(-0.00527665\pi\) | |||||||
\(878\) | 9.05544 | − | 8.15356i | 0.305606 | − | 0.275169i | ||||
\(879\) | −1.95127 | − | 2.16711i | −0.0658149 | − | 0.0730948i | ||||
\(880\) | 2.28802 | − | 11.9189i | 0.0771292 | − | 0.401786i | ||||
\(881\) | 3.68757 | + | 11.3492i | 0.124237 | + | 0.382364i | 0.993761 | − | 0.111527i | \(-0.0355742\pi\) |
−0.869524 | + | 0.493891i | \(0.835574\pi\) | |||||||
\(882\) | 18.1065 | + | 7.33615i | 0.609676 | + | 0.247021i | ||||
\(883\) | −13.5422 | + | 4.40012i | −0.455731 | + | 0.148076i | −0.527882 | − | 0.849318i | \(-0.677014\pi\) |
0.0721512 | + | 0.997394i | \(0.477014\pi\) | |||||||
\(884\) | 0.176759 | − | 1.68175i | 0.00594503 | − | 0.0565632i | ||||
\(885\) | 1.37207 | + | 0.955980i | 0.0461215 | + | 0.0321349i | ||||
\(886\) | 1.06789 | + | 10.1603i | 0.0358765 | + | 0.341342i | ||||
\(887\) | −10.0833 | − | 1.05980i | −0.338565 | − | 0.0355846i | −0.0662795 | − | 0.997801i | \(-0.521113\pi\) |
−0.272286 | + | 0.962216i | \(0.587780\pi\) | |||||||
\(888\) | −1.20285 | + | 1.65558i | −0.0403649 | + | 0.0555575i | ||||
\(889\) | −5.59487 | − | 6.67435i | −0.187646 | − | 0.223850i | ||||
\(890\) | −12.7404 | − | 21.0923i | −0.427061 | − | 0.707015i | ||||
\(891\) | −4.06313 | + | 38.6581i | −0.136120 | + | 1.29509i | ||||
\(892\) | −4.70901 | + | 22.1542i | −0.157669 | + | 0.741777i | ||||
\(893\) | −6.84435 | − | 3.95159i | −0.229038 | − | 0.132235i | ||||
\(894\) | 4.78775 | − | 5.31734i | 0.160126 | − | 0.177838i | ||||
\(895\) | 24.7903 | − | 14.9741i | 0.828647 | − | 0.500530i | ||||
\(896\) | −0.728021 | − | 2.54362i | −0.0243215 | − | 0.0849763i | ||||
\(897\) | 0.544999 | + | 0.177081i | 0.0181970 | + | 0.00591256i | ||||
\(898\) | 6.48297 | − | 14.5610i | 0.216339 | − | 0.485906i | ||||
\(899\) | 21.2525 | − | 36.8105i | 0.708812 | − | 1.22770i | ||||
\(900\) | −13.5241 | + | 3.43888i | −0.450802 | + | 0.114629i | ||||
\(901\) | 7.38761 | + | 12.7957i | 0.246117 | + | 0.426287i | ||||
\(902\) | −15.8803 | − | 21.8573i | −0.528755 | − | 0.727769i | ||||
\(903\) | −6.00540 | − | 5.80504i | −0.199847 | − | 0.193180i | ||||
\(904\) | 1.36108 | − | 4.18898i | 0.0452690 | − | 0.139324i | ||||
\(905\) | −37.9203 | + | 4.74566i | −1.26051 | + | 0.157751i | ||||
\(906\) | 4.15953 | + | 0.884136i | 0.138191 | + | 0.0293734i | ||||
\(907\) | −1.82336 | − | 1.05271i | −0.0605435 | − | 0.0349548i | 0.469423 | − | 0.882974i | \(-0.344462\pi\) |
−0.529966 | + | 0.848019i | \(0.677795\pi\) | |||||||
\(908\) | −14.0362 | − | 12.6383i | −0.465809 | − | 0.419416i | ||||
\(909\) | 38.1802 | + | 27.7395i | 1.26636 | + | 0.920063i | ||||
\(910\) | 1.50670 | − | 0.642827i | 0.0499467 | − | 0.0213095i | ||||
\(911\) | 7.39004 | − | 5.36918i | 0.244843 | − | 0.177889i | −0.458595 | − | 0.888645i | \(-0.651647\pi\) |
0.703438 | + | 0.710756i | \(0.251647\pi\) | |||||||
\(912\) | 0.425172 | + | 0.0446874i | 0.0140789 | + | 0.00147975i | ||||
\(913\) | 11.6749 | + | 26.2223i | 0.386383 | + | 0.867831i | ||||
\(914\) | −2.66006 | − | 25.3088i | −0.0879869 | − | 0.837140i | ||||
\(915\) | 0.381279 | + | 3.04662i | 0.0126047 | + | 0.100718i | ||||
\(916\) | −6.46176 | − | 4.69474i | −0.213502 | − | 0.155119i | ||||
\(917\) | 26.6736 | − | 34.1061i | 0.880838 | − | 1.12628i | ||||
\(918\) | 16.1725i | 0.533771i | ||||||||
\(919\) | 29.2941 | − | 32.5344i | 0.966324 | − | 1.07321i | −0.0309575 | − | 0.999521i | \(-0.509856\pi\) |
0.997281 | − | 0.0736904i | \(-0.0234777\pi\) | |||||||
\(920\) | −9.68455 | − | 2.93623i | −0.319290 | − | 0.0968046i | ||||
\(921\) | −8.58641 | − | 9.53617i | −0.282932 | − | 0.314228i | ||||
\(922\) | −2.18377 | − | 10.2738i | −0.0719185 | − | 0.338350i | ||||
\(923\) | −2.01317 | − | 2.77089i | −0.0662642 | − | 0.0912049i | ||||
\(924\) | −0.454862 | − | 6.55099i | −0.0149638 | − | 0.215512i | ||||
\(925\) | 19.8049 | + | 10.4125i | 0.651183 | + | 0.342361i | ||||
\(926\) | −1.30222 | − | 2.25552i | −0.0427937 | − | 0.0741208i | ||||
\(927\) | −2.10689 | + | 0.221443i | −0.0691993 | + | 0.00727314i | ||||
\(928\) | 3.79385 | − | 3.41600i | 0.124539 | − | 0.112136i | ||||
\(929\) | −15.5407 | + | 3.30327i | −0.509873 | + | 0.108377i | −0.455663 | − | 0.890153i | \(-0.650598\pi\) |
−0.0542108 | + | 0.998530i | \(0.517264\pi\) | |||||||
\(930\) | 8.48287 | + | 0.722261i | 0.278164 | + | 0.0236839i | ||||
\(931\) | −3.66479 | + | 5.42179i | −0.120109 | + | 0.177692i | ||||
\(932\) | 4.23449i | 0.138705i | ||||||||
\(933\) | 3.41448 | + | 3.07441i | 0.111785 | + | 0.100652i | ||||
\(934\) | 23.1136 | − | 10.2909i | 0.756301 | − | 0.336727i | ||||
\(935\) | −21.5055 | + | 70.9313i | −0.703303 | + | 2.31970i | ||||
\(936\) | 0.705958 | + | 0.314313i | 0.0230750 | + | 0.0102736i | ||||
\(937\) | 13.4302 | − | 18.4851i | 0.438746 | − | 0.603883i | −0.531187 | − | 0.847255i | \(-0.678254\pi\) |
0.969933 | + | 0.243372i | \(0.0782537\pi\) | |||||||
\(938\) | 29.2588 | + | 18.3029i | 0.955335 | + | 0.597611i | ||||
\(939\) | −7.18621 | + | 5.22109i | −0.234513 | + | 0.170384i | ||||
\(940\) | −12.9239 | − | 13.7947i | −0.421531 | − | 0.449932i | ||||
\(941\) | 41.1183 | − | 18.3070i | 1.34042 | − | 0.596792i | 0.393813 | − | 0.919190i | \(-0.371156\pi\) |
0.946604 | + | 0.322398i | \(0.104489\pi\) | |||||||
\(942\) | 2.06744 | − | 9.72656i | 0.0673610 | − | 0.316909i | ||||
\(943\) | −19.5097 | + | 11.2639i | −0.635323 | + | 0.366804i | ||||
\(944\) | 0.505371 | + | 1.55537i | 0.0164484 | + | 0.0506230i | ||||
\(945\) | −13.6882 | + | 7.62042i | −0.445278 | + | 0.247892i | ||||
\(946\) | 11.5788 | − | 35.6360i | 0.376460 | − | 1.15862i | ||||
\(947\) | 2.63364 | + | 12.3903i | 0.0855817 | + | 0.402630i | 0.999998 | − | 0.00214549i | \(-0.000682932\pi\) |
−0.914416 | + | 0.404776i | \(0.867350\pi\) | |||||||
\(948\) | 4.25234 | − | 0.446939i | 0.138110 | − | 0.0145159i | ||||
\(949\) | −0.378612 | + | 0.655776i | −0.0122903 | + | 0.0212874i | ||||
\(950\) | −0.184882 | − | 4.67077i | −0.00599837 | − | 0.151540i | ||||
\(951\) | −12.2634 | −0.397668 | ||||||||
\(952\) | 2.79801 | + | 15.9139i | 0.0906839 | + | 0.515773i | ||||
\(953\) | 45.6499 | + | 14.8325i | 1.47874 | + | 0.480473i | 0.933737 | − | 0.357959i | \(-0.116527\pi\) |
0.545007 | + | 0.838432i | \(0.316527\pi\) | |||||||
\(954\) | −6.60452 | + | 1.40383i | −0.213829 | + | 0.0454508i | ||||
\(955\) | 50.9562 | + | 15.4493i | 1.64890 | + | 0.499926i | ||||
\(956\) | −14.6394 | − | 3.11169i | −0.473471 | − | 0.100639i | ||||
\(957\) | 10.9734 | − | 6.33547i | 0.354718 | − | 0.204797i | ||||
\(958\) | −1.25432 | + | 0.407552i | −0.0405251 | + | 0.0131674i | ||||
\(959\) | −14.4444 | − | 27.1981i | −0.466433 | − | 0.878271i | ||||
\(960\) | 0.942174 | + | 0.397343i | 0.0304085 | + | 0.0128242i | ||||
\(961\) | 35.0084 | + | 15.5868i | 1.12930 | + | 0.502799i | ||||
\(962\) | −0.503988 | − | 1.13197i | −0.0162492 | − | 0.0364963i | ||||
\(963\) | −2.39489 | − | 5.37900i | −0.0771741 | − | 0.173336i | ||||
\(964\) | 11.2161 | + | 4.99374i | 0.361247 | + | 0.160838i | ||||
\(965\) | −17.8907 | + | 20.6779i | −0.575922 | + | 0.665645i | ||||
\(966\) | −5.47217 | − | 0.193779i | −0.176064 | − | 0.00623473i | ||||
\(967\) | −18.6444 | + | 6.05794i | −0.599564 | + | 0.194810i | −0.593046 | − | 0.805169i | \(-0.702075\pi\) |
−0.00651810 | + | 0.999979i | \(0.502075\pi\) | |||||||
\(968\) | 15.9861 | − | 9.22955i | 0.513811 | − | 0.296649i | ||||
\(969\) | −2.55384 | − | 0.542835i | −0.0820412 | − | 0.0174384i | ||||
\(970\) | −2.25366 | − | 2.97627i | −0.0723608 | − | 0.0955624i | ||||
\(971\) | 32.6012 | − | 6.92961i | 1.04622 | − | 0.222382i | 0.347431 | − | 0.937706i | \(-0.387054\pi\) |
0.698793 | + | 0.715324i | \(0.253721\pi\) | |||||||
\(972\) | −10.6702 | − | 3.46696i | −0.342247 | − | 0.111203i | ||||
\(973\) | −2.51579 | + | 2.10890i | −0.0806525 | + | 0.0676081i | ||||
\(974\) | 17.1019 | 0.547980 | ||||||||
\(975\) | −0.171670 | + | 0.609376i | −0.00549783 | + | 0.0195157i | ||||
\(976\) | −1.50136 | + | 2.60044i | −0.0480575 | + | 0.0832380i | ||||
\(977\) | −39.1595 | + | 4.11583i | −1.25282 | + | 0.131677i | −0.707600 | − | 0.706613i | \(-0.750222\pi\) |
−0.545224 | + | 0.838290i | \(0.683555\pi\) | |||||||
\(978\) | 0.948794 | + | 4.46372i | 0.0303391 | + | 0.142734i | ||||
\(979\) | 18.4831 | − | 56.8851i | 0.590722 | − | 1.81805i | ||||
\(980\) | −12.1510 | + | 9.86680i | −0.388149 | + | 0.315183i | ||||
\(981\) | −9.04892 | − | 27.8497i | −0.288910 | − | 0.889173i | ||||
\(982\) | −20.4393 | + | 11.8007i | −0.652245 | + | 0.376574i | ||||
\(983\) | 7.80570 | − | 36.7229i | 0.248963 | − | 1.17128i | −0.658972 | − | 0.752168i | \(-0.729008\pi\) |
0.907935 | − | 0.419112i | \(-0.137658\pi\) | |||||||
\(984\) | 2.07947 | − | 0.925838i | 0.0662910 | − | 0.0295146i | ||||
\(985\) | 6.09573 | − | 11.0576i | 0.194226 | − | 0.352325i | ||||
\(986\) | −25.2234 | + | 18.3259i | −0.803276 | + | 0.583614i | ||||
\(987\) | −8.67106 | − | 5.42419i | −0.276003 | − | 0.172654i | ||||
\(988\) | −0.152154 | + | 0.209422i | −0.00484067 | + | 0.00666261i | ||||
\(989\) | −28.5425 | − | 12.7080i | −0.907600 | − | 0.404090i | ||||
\(990\) | −27.7912 | − | 19.3634i | −0.883263 | − | 0.615408i | ||||
\(991\) | 36.0385 | − | 16.0454i | 1.14480 | − | 0.509698i | 0.255404 | − | 0.966834i | \(-0.417791\pi\) |
0.889397 | + | 0.457136i | \(0.151125\pi\) | |||||||
\(992\) | 6.18739 | + | 5.57115i | 0.196450 | + | 0.176884i | ||||
\(993\) | 0.170302i | 0.00540437i | ||||||||
\(994\) | 25.7792 | + | 20.1613i | 0.817666 | + | 0.639476i | ||||
\(995\) | 23.1524 | + | 20.0317i | 0.733982 | + | 0.635047i | ||||
\(996\) | −2.36552 | + | 0.502807i | −0.0749544 | + | 0.0159321i | ||||
\(997\) | 19.0567 | − | 17.1587i | 0.603530 | − | 0.543421i | −0.309716 | − | 0.950829i | \(-0.600234\pi\) |
0.913246 | + | 0.407408i | \(0.133567\pi\) | |||||||
\(998\) | −38.1156 | + | 4.00611i | −1.20653 | + | 0.126811i | ||||
\(999\) | 5.92525 | + | 10.2628i | 0.187467 | + | 0.324702i |
(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 | 350.2.u.a.39.15 | yes | 160 | |
7.2 | even | 3 | inner | 350.2.u.a.289.5 | yes | 160 | |
25.9 | even | 10 | inner | 350.2.u.a.109.5 | yes | 160 | |
175.9 | even | 30 | inner | 350.2.u.a.9.15 | ✓ | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
350.2.u.a.9.15 | ✓ | 160 | 175.9 | even | 30 | inner | |
350.2.u.a.39.15 | yes | 160 | 1.1 | even | 1 | trivial | |
350.2.u.a.109.5 | yes | 160 | 25.9 | even | 10 | inner | |
350.2.u.a.289.5 | yes | 160 | 7.2 | even | 3 | inner |