Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(19,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 25, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.ba (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 19.8 | ||
Character | \(\chi\) | \(=\) | 462.19 |
Dual form | 462.2.ba.b.73.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.994522 | − | 0.104528i | 0.703233 | − | 0.0739128i | ||||
\(3\) | 0.743145 | + | 0.669131i | 0.429055 | + | 0.386323i | ||||
\(4\) | 0.978148 | − | 0.207912i | 0.489074 | − | 0.103956i | ||||
\(5\) | 1.33064 | + | 2.98866i | 0.595078 | + | 1.33657i | 0.920405 | + | 0.390966i | \(0.127859\pi\) |
−0.325327 | + | 0.945602i | \(0.605474\pi\) | |||||||
\(6\) | 0.809017 | + | 0.587785i | 0.330280 | + | 0.239962i | ||||
\(7\) | 1.90285 | − | 1.83825i | 0.719209 | − | 0.694794i | ||||
\(8\) | 0.951057 | − | 0.309017i | 0.336249 | − | 0.109254i | ||||
\(9\) | 0.104528 | + | 0.994522i | 0.0348428 | + | 0.331507i | ||||
\(10\) | 1.63575 | + | 2.83319i | 0.517268 | + | 0.895935i | ||||
\(11\) | −0.401489 | − | 3.29223i | −0.121054 | − | 0.992646i | ||||
\(12\) | 0.866025 | + | 0.500000i | 0.250000 | + | 0.144338i | ||||
\(13\) | −5.44749 | + | 3.95783i | −1.51086 | + | 1.09771i | −0.545070 | + | 0.838391i | \(0.683497\pi\) |
−0.965793 | + | 0.259315i | \(0.916503\pi\) | |||||||
\(14\) | 1.70027 | − | 2.02708i | 0.454417 | − | 0.541761i | ||||
\(15\) | −1.01095 | + | 3.11137i | −0.261025 | + | 0.803353i | ||||
\(16\) | 0.913545 | − | 0.406737i | 0.228386 | − | 0.101684i | ||||
\(17\) | 0.190156 | − | 1.80921i | 0.0461195 | − | 0.438798i | −0.946960 | − | 0.321352i | \(-0.895863\pi\) |
0.993079 | − | 0.117446i | \(-0.0374706\pi\) | |||||||
\(18\) | 0.207912 | + | 0.978148i | 0.0490053 | + | 0.230552i | ||||
\(19\) | −2.09907 | − | 0.446171i | −0.481560 | − | 0.102359i | −0.0392657 | − | 0.999229i | \(-0.512502\pi\) |
−0.442294 | + | 0.896870i | \(0.645835\pi\) | |||||||
\(20\) | 1.92293 | + | 2.64669i | 0.429981 | + | 0.591818i | ||||
\(21\) | 2.64412 | − | 0.0928344i | 0.576995 | − | 0.0202581i | ||||
\(22\) | −0.743422 | − | 3.23223i | −0.158498 | − | 0.689114i | ||||
\(23\) | 2.73297 | − | 4.73364i | 0.569864 | − | 0.987033i | −0.426715 | − | 0.904386i | \(-0.640329\pi\) |
0.996579 | − | 0.0826468i | \(-0.0263373\pi\) | |||||||
\(24\) | 0.913545 | + | 0.406737i | 0.186477 | + | 0.0830248i | ||||
\(25\) | −3.81582 | + | 4.23789i | −0.763164 | + | 0.847579i | ||||
\(26\) | −5.00394 | + | 4.50557i | −0.981354 | + | 0.883615i | ||||
\(27\) | −0.587785 | + | 0.809017i | −0.113119 | + | 0.155695i | ||||
\(28\) | 1.47907 | − | 2.19371i | 0.279518 | − | 0.414572i | ||||
\(29\) | −0.705880 | − | 0.229354i | −0.131079 | − | 0.0425900i | 0.242743 | − | 0.970091i | \(-0.421953\pi\) |
−0.373822 | + | 0.927501i | \(0.621953\pi\) | |||||||
\(30\) | −0.680181 | + | 3.20000i | −0.124184 | + | 0.584238i | ||||
\(31\) | −1.97573 | + | 4.43756i | −0.354851 | + | 0.797009i | 0.644620 | + | 0.764503i | \(0.277016\pi\) |
−0.999472 | + | 0.0325061i | \(0.989651\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | 1.90457 | − | 2.71526i | 0.331543 | − | 0.472665i | ||||
\(34\) | − | 1.81918i | − | 0.311986i | ||||||
\(35\) | 8.02590 | + | 3.24091i | 1.35662 | + | 0.547814i | ||||
\(36\) | 0.309017 | + | 0.951057i | 0.0515028 | + | 0.158509i | ||||
\(37\) | 6.81686 | + | 7.57089i | 1.12068 | + | 1.24465i | 0.966517 | + | 0.256601i | \(0.0826027\pi\) |
0.154167 | + | 0.988045i | \(0.450731\pi\) | |||||||
\(38\) | −2.13421 | − | 0.224314i | −0.346214 | − | 0.0363886i | ||||
\(39\) | −6.69658 | − | 0.703839i | −1.07231 | − | 0.112704i | ||||
\(40\) | 2.18905 | + | 2.43119i | 0.346120 | + | 0.384405i | ||||
\(41\) | −0.800419 | − | 2.46343i | −0.125004 | − | 0.384724i | 0.868898 | − | 0.494992i | \(-0.164829\pi\) |
−0.993902 | + | 0.110268i | \(0.964829\pi\) | |||||||
\(42\) | 2.61993 | − | 0.368712i | 0.404265 | − | 0.0568935i | ||||
\(43\) | − | 10.5264i | − | 1.60526i | −0.596476 | − | 0.802631i | \(-0.703433\pi\) | ||
0.596476 | − | 0.802631i | \(-0.296567\pi\) | |||||||
\(44\) | −1.07721 | − | 3.13682i | −0.162396 | − | 0.472893i | ||||
\(45\) | −2.83319 | + | 1.63575i | −0.422348 | + | 0.243843i | ||||
\(46\) | 2.22320 | − | 4.99338i | 0.327793 | − | 0.736234i | ||||
\(47\) | 0.106401 | − | 0.500577i | 0.0155202 | − | 0.0730167i | −0.969706 | − | 0.244275i | \(-0.921450\pi\) |
0.985226 | + | 0.171258i | \(0.0547833\pi\) | |||||||
\(48\) | 0.951057 | + | 0.309017i | 0.137273 | + | 0.0446028i | ||||
\(49\) | 0.241656 | − | 6.99583i | 0.0345223 | − | 0.999404i | ||||
\(50\) | −3.35193 | + | 4.61354i | −0.474035 | + | 0.652453i | ||||
\(51\) | 1.35191 | − | 1.21727i | 0.189305 | − | 0.170451i | ||||
\(52\) | −4.50557 | + | 5.00394i | −0.624810 | + | 0.693922i | ||||
\(53\) | −11.7538 | − | 5.23315i | −1.61451 | − | 0.718828i | −0.616846 | − | 0.787084i | \(-0.711590\pi\) |
−0.997668 | + | 0.0682555i | \(0.978257\pi\) | |||||||
\(54\) | −0.500000 | + | 0.866025i | −0.0680414 | + | 0.117851i | ||||
\(55\) | 9.30512 | − | 5.58068i | 1.25470 | − | 0.752498i | ||||
\(56\) | 1.24166 | − | 2.33629i | 0.165924 | − | 0.312200i | ||||
\(57\) | −1.26137 | − | 1.73612i | −0.167072 | − | 0.229955i | ||||
\(58\) | −0.725987 | − | 0.154313i | −0.0953268 | − | 0.0202623i | ||||
\(59\) | −0.459368 | − | 2.16116i | −0.0598046 | − | 0.281358i | 0.938076 | − | 0.346429i | \(-0.112606\pi\) |
−0.997881 | + | 0.0650709i | \(0.979273\pi\) | |||||||
\(60\) | −0.341964 | + | 3.25357i | −0.0441473 | + | 0.420034i | ||||
\(61\) | 6.26365 | − | 2.78876i | 0.801978 | − | 0.357064i | 0.0355288 | − | 0.999369i | \(-0.488688\pi\) |
0.766449 | + | 0.642305i | \(0.222022\pi\) | |||||||
\(62\) | −1.50105 | + | 4.61977i | −0.190634 | + | 0.586711i | ||||
\(63\) | 2.02708 | + | 1.70027i | 0.255389 | + | 0.214214i | ||||
\(64\) | 0.809017 | − | 0.587785i | 0.101127 | − | 0.0734732i | ||||
\(65\) | −19.0772 | − | 11.0142i | −2.36624 | − | 1.36615i | ||||
\(66\) | 1.61031 | − | 2.89946i | 0.198216 | − | 0.356899i | ||||
\(67\) | 6.06614 | + | 10.5069i | 0.741097 | + | 1.28362i | 0.951996 | + | 0.306110i | \(0.0990276\pi\) |
−0.210899 | + | 0.977508i | \(0.567639\pi\) | |||||||
\(68\) | −0.190156 | − | 1.80921i | −0.0230598 | − | 0.219399i | ||||
\(69\) | 5.19842 | − | 1.68907i | 0.625816 | − | 0.203340i | ||||
\(70\) | 8.32070 | + | 2.38422i | 0.994514 | + | 0.284969i | ||||
\(71\) | 3.19372 | + | 2.32038i | 0.379025 | + | 0.275378i | 0.760943 | − | 0.648818i | \(-0.224736\pi\) |
−0.381918 | + | 0.924196i | \(0.624736\pi\) | |||||||
\(72\) | 0.406737 | + | 0.913545i | 0.0479344 | + | 0.107662i | ||||
\(73\) | −4.29538 | + | 0.913010i | −0.502736 | + | 0.106860i | −0.452297 | − | 0.891867i | \(-0.649395\pi\) |
−0.0504387 | + | 0.998727i | \(0.516062\pi\) | |||||||
\(74\) | 7.57089 | + | 6.81686i | 0.880098 | + | 0.792444i | ||||
\(75\) | −5.67141 | + | 0.596089i | −0.654878 | + | 0.0688305i | ||||
\(76\) | −2.14596 | −0.246159 | ||||||||
\(77\) | −6.81593 | − | 5.52658i | −0.776747 | − | 0.629812i | ||||
\(78\) | −6.73347 | −0.762415 | ||||||||
\(79\) | −13.5749 | + | 1.42677i | −1.52729 | + | 0.160525i | −0.830609 | − | 0.556856i | \(-0.812008\pi\) |
−0.696682 | + | 0.717381i | \(0.745341\pi\) | |||||||
\(80\) | 2.43119 | + | 2.18905i | 0.271815 | + | 0.244744i | ||||
\(81\) | −0.978148 | + | 0.207912i | −0.108683 | + | 0.0231013i | ||||
\(82\) | −1.05353 | − | 2.36627i | −0.116343 | − | 0.261311i | ||||
\(83\) | −5.79039 | − | 4.20697i | −0.635578 | − | 0.461775i | 0.222750 | − | 0.974876i | \(-0.428497\pi\) |
−0.858328 | + | 0.513101i | \(0.828497\pi\) | |||||||
\(84\) | 2.56704 | − | 0.640550i | 0.280087 | − | 0.0698897i | ||||
\(85\) | 5.66013 | − | 1.83909i | 0.613928 | − | 0.199477i | ||||
\(86\) | −1.10031 | − | 10.4687i | −0.118649 | − | 1.12887i | ||||
\(87\) | −0.371103 | − | 0.642769i | −0.0397864 | − | 0.0689121i | ||||
\(88\) | −1.39920 | − | 3.00703i | −0.149155 | − | 0.320551i | ||||
\(89\) | 10.4217 | + | 6.01699i | 1.10470 | + | 0.637800i | 0.937452 | − | 0.348115i | \(-0.113178\pi\) |
0.167250 | + | 0.985915i | \(0.446511\pi\) | |||||||
\(90\) | −2.64669 | + | 1.92293i | −0.278986 | + | 0.202695i | ||||
\(91\) | −3.09025 | + | 17.5450i | −0.323946 | + | 1.83922i | ||||
\(92\) | 1.68907 | − | 5.19842i | 0.176098 | − | 0.541973i | ||||
\(93\) | −4.43756 | + | 1.97573i | −0.460153 | + | 0.204873i | ||||
\(94\) | 0.0534936 | − | 0.508957i | 0.00551744 | − | 0.0524949i | ||||
\(95\) | −1.45964 | − | 6.86709i | −0.149756 | − | 0.704548i | ||||
\(96\) | 0.978148 | + | 0.207912i | 0.0998318 | + | 0.0212199i | ||||
\(97\) | −4.37237 | − | 6.01805i | −0.443947 | − | 0.611040i | 0.527137 | − | 0.849780i | \(-0.323266\pi\) |
−0.971083 | + | 0.238740i | \(0.923266\pi\) | |||||||
\(98\) | −0.490931 | − | 6.98276i | −0.0495915 | − | 0.705366i | ||||
\(99\) | 3.23223 | − | 0.743422i | 0.324852 | − | 0.0747168i | ||||
\(100\) | −2.85133 | + | 4.93864i | −0.285133 | + | 0.493864i | ||||
\(101\) | 3.30530 | + | 1.47162i | 0.328890 | + | 0.146431i | 0.564538 | − | 0.825407i | \(-0.309055\pi\) |
−0.235648 | + | 0.971839i | \(0.575721\pi\) | |||||||
\(102\) | 1.21727 | − | 1.35191i | 0.120527 | − | 0.133859i | ||||
\(103\) | −6.19738 | + | 5.58014i | −0.610646 | + | 0.549828i | −0.915370 | − | 0.402613i | \(-0.868102\pi\) |
0.304725 | + | 0.952440i | \(0.401436\pi\) | |||||||
\(104\) | −3.95783 | + | 5.44749i | −0.388098 | + | 0.534171i | ||||
\(105\) | 3.79581 | + | 7.77884i | 0.370433 | + | 0.759137i | ||||
\(106\) | −12.2365 | − | 3.97587i | −1.18851 | − | 0.386170i | ||||
\(107\) | −2.29944 | + | 10.8180i | −0.222296 | + | 1.04582i | 0.715495 | + | 0.698618i | \(0.246201\pi\) |
−0.937791 | + | 0.347201i | \(0.887132\pi\) | |||||||
\(108\) | −0.406737 | + | 0.913545i | −0.0391383 | + | 0.0879060i | ||||
\(109\) | −5.68134 | + | 3.28012i | −0.544173 | + | 0.314179i | −0.746769 | − | 0.665084i | \(-0.768396\pi\) |
0.202595 | + | 0.979263i | \(0.435062\pi\) | |||||||
\(110\) | 8.67080 | − | 6.52275i | 0.826729 | − | 0.621920i | ||||
\(111\) | 10.1876i | 0.966967i | ||||||||
\(112\) | 0.990653 | − | 2.45328i | 0.0936079 | − | 0.231814i | ||||
\(113\) | −4.97950 | − | 15.3253i | −0.468432 | − | 1.44168i | −0.854615 | − | 0.519262i | \(-0.826207\pi\) |
0.386184 | − | 0.922422i | \(-0.373793\pi\) | |||||||
\(114\) | −1.43593 | − | 1.59476i | −0.134487 | − | 0.149363i | ||||
\(115\) | 17.7838 | + | 1.86915i | 1.65835 | + | 0.174300i | ||||
\(116\) | −0.738140 | − | 0.0775817i | −0.0685346 | − | 0.00720328i | ||||
\(117\) | −4.50557 | − | 5.00394i | −0.416540 | − | 0.462615i | ||||
\(118\) | −0.682754 | − | 2.10130i | −0.0628526 | − | 0.193440i | ||||
\(119\) | −2.96395 | − | 3.79220i | −0.271705 | − | 0.347631i | ||||
\(120\) | 3.27149i | 0.298645i | ||||||||
\(121\) | −10.6776 | + | 2.64359i | −0.970692 | + | 0.240327i | ||||
\(122\) | 5.93783 | − | 3.42821i | 0.537586 | − | 0.310375i | ||||
\(123\) | 1.05353 | − | 2.36627i | 0.0949939 | − | 0.213360i | ||||
\(124\) | −1.00993 | + | 4.75136i | −0.0906947 | + | 0.426685i | ||||
\(125\) | −2.18621 | − | 0.710341i | −0.195540 | − | 0.0635349i | ||||
\(126\) | 2.19371 | + | 1.47907i | 0.195431 | + | 0.131766i | ||||
\(127\) | 7.74202 | − | 10.6560i | 0.686994 | − | 0.945566i | −0.312998 | − | 0.949754i | \(-0.601333\pi\) |
0.999991 | + | 0.00418833i | \(0.00133319\pi\) | |||||||
\(128\) | 0.743145 | − | 0.669131i | 0.0656853 | − | 0.0591433i | ||||
\(129\) | 7.04354 | − | 7.82264i | 0.620149 | − | 0.688745i | ||||
\(130\) | −20.1240 | − | 8.95979i | −1.76499 | − | 0.785826i | ||||
\(131\) | 7.74911 | − | 13.4218i | 0.677043 | − | 1.17267i | −0.298825 | − | 0.954308i | \(-0.596595\pi\) |
0.975867 | − | 0.218364i | \(-0.0700720\pi\) | |||||||
\(132\) | 1.29842 | − | 3.05190i | 0.113013 | − | 0.265634i | ||||
\(133\) | −4.81438 | + | 3.00962i | −0.417460 | + | 0.260968i | ||||
\(134\) | 7.13118 | + | 9.81523i | 0.616040 | + | 0.847906i | ||||
\(135\) | −3.20000 | − | 0.680181i | −0.275412 | − | 0.0585407i | ||||
\(136\) | −0.378228 | − | 1.77942i | −0.0324328 | − | 0.152584i | ||||
\(137\) | −0.0131915 | + | 0.125509i | −0.00112703 | + | 0.0107230i | −0.995071 | − | 0.0991655i | \(-0.968383\pi\) |
0.993944 | + | 0.109888i | \(0.0350494\pi\) | |||||||
\(138\) | 4.99338 | − | 2.22320i | 0.425065 | − | 0.189251i | ||||
\(139\) | −1.32132 | + | 4.06659i | −0.112073 | + | 0.344924i | −0.991325 | − | 0.131432i | \(-0.958043\pi\) |
0.879253 | + | 0.476356i | \(0.158043\pi\) | |||||||
\(140\) | 8.52434 | + | 1.50141i | 0.720438 | + | 0.126892i | ||||
\(141\) | 0.414023 | − | 0.300805i | 0.0348670 | − | 0.0253324i | ||||
\(142\) | 3.41877 | + | 1.97383i | 0.286897 | + | 0.165640i | ||||
\(143\) | 15.2172 | + | 16.3454i | 1.27253 | + | 1.36687i | ||||
\(144\) | 0.500000 | + | 0.866025i | 0.0416667 | + | 0.0721688i | ||||
\(145\) | −0.253808 | − | 2.41482i | −0.0210776 | − | 0.200540i | ||||
\(146\) | −4.17641 | + | 1.35700i | −0.345642 | + | 0.112306i | ||||
\(147\) | 4.86071 | − | 5.03721i | 0.400904 | − | 0.415462i | ||||
\(148\) | 8.24197 | + | 5.98814i | 0.677486 | + | 0.492222i | ||||
\(149\) | 0.932021 | + | 2.09335i | 0.0763541 | + | 0.171494i | 0.947689 | − | 0.319194i | \(-0.103412\pi\) |
−0.871335 | + | 0.490688i | \(0.836745\pi\) | |||||||
\(150\) | −5.57803 | + | 1.18565i | −0.455445 | + | 0.0968077i | ||||
\(151\) | 5.23623 | + | 4.71472i | 0.426118 | + | 0.383678i | 0.854100 | − | 0.520109i | \(-0.174109\pi\) |
−0.427982 | + | 0.903787i | \(0.640775\pi\) | |||||||
\(152\) | −2.13421 | + | 0.224314i | −0.173107 | + | 0.0181943i | ||||
\(153\) | 1.81918 | 0.147072 | ||||||||
\(154\) | −7.35628 | − | 4.78385i | −0.592786 | − | 0.385493i | ||||
\(155\) | −15.8913 | −1.27642 | ||||||||
\(156\) | −6.69658 | + | 0.703839i | −0.536156 | + | 0.0563522i | ||||
\(157\) | 6.13061 | + | 5.52003i | 0.489276 | + | 0.440546i | 0.876473 | − | 0.481451i | \(-0.159890\pi\) |
−0.387197 | + | 0.921997i | \(0.626557\pi\) | |||||||
\(158\) | −13.3514 | + | 2.83792i | −1.06218 | + | 0.225773i | ||||
\(159\) | −5.23315 | − | 11.7538i | −0.415016 | − | 0.932140i | ||||
\(160\) | 2.64669 | + | 1.92293i | 0.209239 | + | 0.152021i | ||||
\(161\) | −3.50121 | − | 14.0313i | −0.275934 | − | 1.10582i | ||||
\(162\) | −0.951057 | + | 0.309017i | −0.0747221 | + | 0.0242787i | ||||
\(163\) | 2.25992 | + | 21.5017i | 0.177011 | + | 1.68414i | 0.617645 | + | 0.786457i | \(0.288087\pi\) |
−0.440634 | + | 0.897687i | \(0.645246\pi\) | |||||||
\(164\) | −1.29510 | − | 2.24319i | −0.101131 | − | 0.175163i | ||||
\(165\) | 10.6493 | + | 2.07909i | 0.829043 | + | 0.161857i | ||||
\(166\) | −6.19842 | − | 3.57866i | −0.481091 | − | 0.277758i | ||||
\(167\) | 7.68060 | − | 5.58028i | 0.594343 | − | 0.431815i | −0.249524 | − | 0.968369i | \(-0.580274\pi\) |
0.843866 | + | 0.536553i | \(0.180274\pi\) | |||||||
\(168\) | 2.48602 | − | 0.905369i | 0.191801 | − | 0.0698508i | ||||
\(169\) | 9.99349 | − | 30.7568i | 0.768730 | − | 2.36591i | ||||
\(170\) | 5.43689 | − | 2.42066i | 0.416990 | − | 0.185656i | ||||
\(171\) | 0.224314 | − | 2.13421i | 0.0171537 | − | 0.163207i | ||||
\(172\) | −2.18856 | − | 10.2964i | −0.166876 | − | 0.785091i | ||||
\(173\) | 7.56366 | + | 1.60771i | 0.575055 | + | 0.122232i | 0.486254 | − | 0.873818i | \(-0.338363\pi\) |
0.0888010 | + | 0.996049i | \(0.471696\pi\) | |||||||
\(174\) | −0.436258 | − | 0.600457i | −0.0330726 | − | 0.0455206i | ||||
\(175\) | 0.529402 | + | 15.0785i | 0.0400190 | + | 1.13983i | ||||
\(176\) | −1.70585 | − | 2.84431i | −0.128583 | − | 0.214398i | ||||
\(177\) | 1.10472 | − | 1.91343i | 0.0830357 | − | 0.143822i | ||||
\(178\) | 10.9936 | + | 4.89466i | 0.824005 | + | 0.366870i | ||||
\(179\) | −6.18396 | + | 6.86799i | −0.462211 | + | 0.513337i | −0.928519 | − | 0.371285i | \(-0.878917\pi\) |
0.466308 | + | 0.884623i | \(0.345584\pi\) | |||||||
\(180\) | −2.43119 | + | 2.18905i | −0.181210 | + | 0.163162i | ||||
\(181\) | −7.50026 | + | 10.3232i | −0.557490 | + | 0.767319i | −0.991005 | − | 0.133827i | \(-0.957273\pi\) |
0.433515 | + | 0.901147i | \(0.357273\pi\) | |||||||
\(182\) | −1.23936 | + | 17.7719i | −0.0918678 | + | 1.31734i | ||||
\(183\) | 6.52084 | + | 2.11875i | 0.482034 | + | 0.156622i | ||||
\(184\) | 1.13643 | − | 5.34650i | 0.0837789 | − | 0.394149i | ||||
\(185\) | −13.5560 | + | 30.4473i | −0.996659 | + | 2.23853i | ||||
\(186\) | −4.20673 | + | 2.42876i | −0.308452 | + | 0.178085i | ||||
\(187\) | −6.03269 | + | 0.100342i | −0.441154 | + | 0.00733773i | ||||
\(188\) | − | 0.511761i | − | 0.0373240i | ||||||
\(189\) | 0.368712 | + | 2.61993i | 0.0268198 | + | 0.190572i | ||||
\(190\) | −2.16945 | − | 6.67689i | −0.157389 | − | 0.484393i | ||||
\(191\) | −3.79989 | − | 4.22020i | −0.274950 | − | 0.305363i | 0.589816 | − | 0.807538i | \(-0.299200\pi\) |
−0.864766 | + | 0.502174i | \(0.832534\pi\) | |||||||
\(192\) | 0.994522 | + | 0.104528i | 0.0717734 | + | 0.00754369i | ||||
\(193\) | −3.45074 | − | 0.362687i | −0.248390 | − | 0.0261068i | −0.0204846 | − | 0.999790i | \(-0.506521\pi\) |
−0.227905 | + | 0.973683i | \(0.573188\pi\) | |||||||
\(194\) | −4.97747 | − | 5.52804i | −0.357362 | − | 0.396890i | ||||
\(195\) | −6.80718 | − | 20.9503i | −0.487472 | − | 1.50028i | ||||
\(196\) | −1.21814 | − | 6.89320i | −0.0870099 | − | 0.492371i | ||||
\(197\) | 3.84574i | 0.273998i | 0.990571 | + | 0.136999i | \(0.0437457\pi\) | ||||
−0.990571 | + | 0.136999i | \(0.956254\pi\) | |||||||
\(198\) | 3.13682 | − | 1.07721i | 0.222924 | − | 0.0765540i | ||||
\(199\) | −12.2138 | + | 7.05166i | −0.865816 | + | 0.499879i | −0.865956 | − | 0.500121i | \(-0.833289\pi\) |
0.000139488 | 1.00000i | \(0.499956\pi\) | ||||||||
\(200\) | −2.31948 | + | 5.20963i | −0.164012 | + | 0.368376i | ||||
\(201\) | −2.52244 | + | 11.8672i | −0.177919 | + | 0.837045i | ||||
\(202\) | 3.44102 | + | 1.11806i | 0.242109 | + | 0.0786661i | ||||
\(203\) | −1.76479 | + | 0.861159i | −0.123864 | + | 0.0604415i | ||||
\(204\) | 1.06928 | − | 1.47174i | 0.0748649 | − | 0.103043i | ||||
\(205\) | 6.29729 | − | 5.67011i | 0.439822 | − | 0.396018i | ||||
\(206\) | −5.58014 | + | 6.19738i | −0.388787 | + | 0.431792i | ||||
\(207\) | 4.99338 | + | 2.22320i | 0.347064 | + | 0.154523i | ||||
\(208\) | −3.36674 | + | 5.83136i | −0.233441 | + | 0.404332i | ||||
\(209\) | −0.626145 | + | 7.08976i | −0.0433114 | + | 0.490409i | ||||
\(210\) | 4.58813 | + | 7.33946i | 0.316611 | + | 0.506471i | ||||
\(211\) | 16.3741 | + | 22.5370i | 1.12724 | + | 1.55151i | 0.793206 | + | 0.608953i | \(0.208410\pi\) |
0.334035 | + | 0.942561i | \(0.391590\pi\) | |||||||
\(212\) | −12.5850 | − | 2.67503i | −0.864343 | − | 0.183722i | ||||
\(213\) | 0.820764 | + | 3.86139i | 0.0562378 | + | 0.264578i | ||||
\(214\) | −1.15606 | + | 10.9991i | −0.0790263 | + | 0.751885i | ||||
\(215\) | 31.4598 | − | 14.0068i | 2.14554 | − | 0.955256i | ||||
\(216\) | −0.309017 | + | 0.951057i | −0.0210259 | + | 0.0647112i | ||||
\(217\) | 4.39784 | + | 12.0759i | 0.298545 | + | 0.819764i | ||||
\(218\) | −5.30735 | + | 3.85601i | −0.359459 | + | 0.261162i | ||||
\(219\) | −3.80301 | − | 2.19567i | −0.256984 | − | 0.148370i | ||||
\(220\) | 7.94149 | − | 7.39337i | 0.535415 | − | 0.498461i | ||||
\(221\) | 6.12468 | + | 10.6083i | 0.411991 | + | 0.713589i | ||||
\(222\) | 1.06490 | + | 10.1318i | 0.0714713 | + | 0.680004i | ||||
\(223\) | 15.5082 | − | 5.03891i | 1.03850 | − | 0.337430i | 0.260357 | − | 0.965512i | \(-0.416160\pi\) |
0.778147 | + | 0.628082i | \(0.216160\pi\) | |||||||
\(224\) | 0.728788 | − | 2.54340i | 0.0486942 | − | 0.169938i | ||||
\(225\) | −4.61354 | − | 3.35193i | −0.307569 | − | 0.223462i | ||||
\(226\) | −6.55415 | − | 14.7209i | −0.435975 | − | 0.979217i | ||||
\(227\) | −7.62246 | + | 1.62020i | −0.505921 | + | 0.107537i | −0.453799 | − | 0.891104i | \(-0.649932\pi\) |
−0.0521216 | + | 0.998641i | \(0.516598\pi\) | |||||||
\(228\) | −1.59476 | − | 1.43593i | −0.105616 | − | 0.0950968i | ||||
\(229\) | −5.32729 | + | 0.559920i | −0.352037 | + | 0.0370006i | −0.278897 | − | 0.960321i | \(-0.589969\pi\) |
−0.0731402 | + | 0.997322i | \(0.523302\pi\) | |||||||
\(230\) | 17.8818 | 1.17909 | ||||||||
\(231\) | −1.36722 | − | 8.66780i | −0.0899565 | − | 0.570299i | ||||
\(232\) | −0.742206 | −0.0487282 | ||||||||
\(233\) | 13.0129 | − | 1.36771i | 0.852504 | − | 0.0896018i | 0.331811 | − | 0.943346i | \(-0.392340\pi\) |
0.520693 | + | 0.853744i | \(0.325674\pi\) | |||||||
\(234\) | −5.00394 | − | 4.50557i | −0.327118 | − | 0.294538i | ||||
\(235\) | 1.63763 | − | 0.348090i | 0.106827 | − | 0.0227069i | ||||
\(236\) | −0.898659 | − | 2.01842i | −0.0584977 | − | 0.131388i | ||||
\(237\) | −11.0428 | − | 8.02305i | −0.717306 | − | 0.521153i | ||||
\(238\) | −3.34410 | − | 3.46161i | −0.216766 | − | 0.224383i | ||||
\(239\) | 19.6296 | − | 6.37804i | 1.26973 | − | 0.412561i | 0.404779 | − | 0.914414i | \(-0.367348\pi\) |
0.864953 | + | 0.501853i | \(0.167348\pi\) | |||||||
\(240\) | 0.341964 | + | 3.25357i | 0.0220737 | + | 0.210017i | ||||
\(241\) | 8.29440 | + | 14.3663i | 0.534289 | + | 0.925416i | 0.999197 | + | 0.0400572i | \(0.0127540\pi\) |
−0.464908 | + | 0.885359i | \(0.653913\pi\) | |||||||
\(242\) | −10.3428 | + | 3.74523i | −0.664860 | + | 0.240752i | ||||
\(243\) | −0.866025 | − | 0.500000i | −0.0555556 | − | 0.0320750i | ||||
\(244\) | 5.54696 | − | 4.03010i | 0.355108 | − | 0.258001i | ||||
\(245\) | 21.2297 | − | 8.58667i | 1.35631 | − | 0.548582i | ||||
\(246\) | 0.800419 | − | 2.46343i | 0.0510328 | − | 0.157063i | ||||
\(247\) | 13.2005 | − | 5.87726i | 0.839930 | − | 0.373961i | ||||
\(248\) | −0.507748 | + | 4.83090i | −0.0322420 | + | 0.306763i | ||||
\(249\) | −1.48809 | − | 7.00092i | −0.0943039 | − | 0.443665i | ||||
\(250\) | −2.24848 | − | 0.477929i | −0.142206 | − | 0.0302269i | ||||
\(251\) | −12.7538 | − | 17.5542i | −0.805015 | − | 1.10801i | −0.992073 | − | 0.125660i | \(-0.959895\pi\) |
0.187058 | − | 0.982349i | \(-0.440105\pi\) | |||||||
\(252\) | 2.33629 | + | 1.24166i | 0.147173 | + | 0.0782175i | ||||
\(253\) | −16.6815 | − | 7.09707i | −1.04876 | − | 0.446189i | ||||
\(254\) | 6.58576 | − | 11.4069i | 0.413227 | − | 0.715731i | ||||
\(255\) | 5.43689 | + | 2.42066i | 0.340471 | + | 0.151588i | ||||
\(256\) | 0.669131 | − | 0.743145i | 0.0418207 | − | 0.0464466i | ||||
\(257\) | −0.241776 | + | 0.217696i | −0.0150815 | + | 0.0135795i | −0.676637 | − | 0.736317i | \(-0.736563\pi\) |
0.661555 | + | 0.749896i | \(0.269897\pi\) | |||||||
\(258\) | 6.18727 | − | 8.51604i | 0.385202 | − | 0.530186i | ||||
\(259\) | 26.8886 | + | 1.87514i | 1.67078 | + | 0.116515i | ||||
\(260\) | −20.9503 | − | 6.80718i | −1.29928 | − | 0.422163i | ||||
\(261\) | 0.154313 | − | 0.725987i | 0.00955176 | − | 0.0449375i | ||||
\(262\) | 6.30369 | − | 14.1583i | 0.389443 | − | 0.874704i | ||||
\(263\) | 4.54165 | − | 2.62212i | 0.280050 | − | 0.161687i | −0.353396 | − | 0.935474i | \(-0.614973\pi\) |
0.633446 | + | 0.773787i | \(0.281640\pi\) | |||||||
\(264\) | 0.972293 | − | 3.17091i | 0.0598405 | − | 0.195156i | ||||
\(265\) | − | 42.0916i | − | 2.58567i | ||||||
\(266\) | −4.47342 | + | 3.49638i | −0.274283 | + | 0.214377i | ||||
\(267\) | 3.71871 | + | 11.4450i | 0.227581 | + | 0.700423i | ||||
\(268\) | 8.11808 | + | 9.01605i | 0.495891 | + | 0.550743i | ||||
\(269\) | 3.13407 | + | 0.329404i | 0.191088 | + | 0.0200841i | 0.199589 | − | 0.979880i | \(-0.436039\pi\) |
−0.00850117 | + | 0.999964i | \(0.502706\pi\) | |||||||
\(270\) | −3.25357 | − | 0.341964i | −0.198006 | − | 0.0208113i | ||||
\(271\) | −12.9156 | − | 14.3443i | −0.784568 | − | 0.871351i | 0.209755 | − | 0.977754i | \(-0.432733\pi\) |
−0.994323 | + | 0.106403i | \(0.966067\pi\) | |||||||
\(272\) | −0.562156 | − | 1.73014i | −0.0340857 | − | 0.104905i | ||||
\(273\) | −14.0364 | + | 10.9707i | −0.849522 | + | 0.663978i | ||||
\(274\) | 0.126200i | 0.00762404i | ||||||||
\(275\) | 15.4842 | + | 10.8611i | 0.933730 | + | 0.654949i | ||||
\(276\) | 4.73364 | − | 2.73297i | 0.284932 | − | 0.164505i | ||||
\(277\) | −11.3252 | + | 25.4367i | −0.680464 | + | 1.52835i | 0.160373 | + | 0.987057i | \(0.448730\pi\) |
−0.840836 | + | 0.541290i | \(0.817936\pi\) | |||||||
\(278\) | −0.889003 | + | 4.18243i | −0.0533189 | + | 0.250846i | ||||
\(279\) | −4.61977 | − | 1.50105i | −0.276578 | − | 0.0898657i | ||||
\(280\) | 8.63458 | + | 0.602151i | 0.516015 | + | 0.0359854i | ||||
\(281\) | −16.9956 | + | 23.3924i | −1.01387 | + | 1.39547i | −0.0974564 | + | 0.995240i | \(0.531071\pi\) |
−0.916414 | + | 0.400233i | \(0.868929\pi\) | |||||||
\(282\) | 0.380312 | − | 0.342435i | 0.0226473 | − | 0.0203917i | ||||
\(283\) | −4.54453 | + | 5.04721i | −0.270144 | + | 0.300026i | −0.862919 | − | 0.505343i | \(-0.831366\pi\) |
0.592774 | + | 0.805369i | \(0.298033\pi\) | |||||||
\(284\) | 3.60637 | + | 1.60566i | 0.213998 | + | 0.0952782i | ||||
\(285\) | 3.51025 | − | 6.07993i | 0.207929 | − | 0.360144i | ||||
\(286\) | 16.8424 | + | 14.6652i | 0.995914 | + | 0.867172i | ||||
\(287\) | −6.05149 | − | 3.21617i | −0.357208 | − | 0.189844i | ||||
\(288\) | 0.587785 | + | 0.809017i | 0.0346356 | + | 0.0476718i | ||||
\(289\) | 13.3914 | + | 2.84644i | 0.787731 | + | 0.167437i | ||||
\(290\) | −0.504835 | − | 2.37506i | −0.0296449 | − | 0.139468i | ||||
\(291\) | 0.777557 | − | 7.39796i | 0.0455812 | − | 0.433676i | ||||
\(292\) | −4.01169 | + | 1.78612i | −0.234766 | + | 0.104525i | ||||
\(293\) | −5.56654 | + | 17.1320i | −0.325201 | + | 1.00086i | 0.646149 | + | 0.763211i | \(0.276378\pi\) |
−0.971350 | + | 0.237654i | \(0.923622\pi\) | |||||||
\(294\) | 4.30755 | − | 5.51770i | 0.251221 | − | 0.321799i | ||||
\(295\) | 5.84770 | − | 4.24860i | 0.340466 | − | 0.247363i | ||||
\(296\) | 8.82275 | + | 5.09382i | 0.512812 | + | 0.296072i | ||||
\(297\) | 2.89946 | + | 1.61031i | 0.168244 | + | 0.0934399i | ||||
\(298\) | 1.14573 | + | 1.98446i | 0.0663704 | + | 0.114957i | ||||
\(299\) | 3.84714 | + | 36.6031i | 0.222486 | + | 2.11681i | ||||
\(300\) | −5.42354 | + | 1.76222i | −0.313128 | + | 0.101742i | ||||
\(301\) | −19.3502 | − | 20.0301i | −1.11533 | − | 1.15452i | ||||
\(302\) | 5.70036 | + | 4.14156i | 0.328019 | + | 0.238320i | ||||
\(303\) | 1.47162 | + | 3.30530i | 0.0845421 | + | 0.189885i | ||||
\(304\) | −2.09907 | + | 0.446171i | −0.120390 | + | 0.0255897i | ||||
\(305\) | 16.6693 | + | 15.0091i | 0.954479 | + | 0.859417i | ||||
\(306\) | 1.80921 | − | 0.190156i | 0.103426 | − | 0.0108705i | ||||
\(307\) | 8.15091 | 0.465197 | 0.232598 | − | 0.972573i | \(-0.425277\pi\) | ||||
0.232598 | + | 0.972573i | \(0.425277\pi\) | |||||||
\(308\) | −7.81603 | − | 3.98870i | −0.445359 | − | 0.227277i | ||||
\(309\) | −8.33939 | −0.474412 | ||||||||
\(310\) | −15.8043 | + | 1.66109i | −0.897621 | + | 0.0943438i | ||||
\(311\) | 24.8326 | + | 22.3594i | 1.40813 | + | 1.26788i | 0.918197 | + | 0.396124i | \(0.129645\pi\) |
0.489931 | + | 0.871761i | \(0.337022\pi\) | |||||||
\(312\) | −6.58633 | + | 1.39997i | −0.372877 | + | 0.0792575i | ||||
\(313\) | 1.55391 | + | 3.49013i | 0.0878319 | + | 0.197274i | 0.952121 | − | 0.305722i | \(-0.0988978\pi\) |
−0.864289 | + | 0.502996i | \(0.832231\pi\) | |||||||
\(314\) | 6.67403 | + | 4.84897i | 0.376637 | + | 0.273643i | ||||
\(315\) | −2.38422 | + | 8.32070i | −0.134336 | + | 0.468818i | ||||
\(316\) | −12.9816 | + | 4.21797i | −0.730270 | + | 0.237279i | ||||
\(317\) | −0.579281 | − | 5.51149i | −0.0325356 | − | 0.309556i | −0.998672 | − | 0.0515232i | \(-0.983592\pi\) |
0.966136 | − | 0.258033i | \(-0.0830743\pi\) | |||||||
\(318\) | −6.43309 | − | 11.1424i | −0.360750 | − | 0.624837i | ||||
\(319\) | −0.471685 | + | 2.41601i | −0.0264093 | + | 0.135270i | ||||
\(320\) | 2.83319 | + | 1.63575i | 0.158380 | + | 0.0914409i | ||||
\(321\) | −8.94750 | + | 6.50074i | −0.499401 | + | 0.362836i | ||||
\(322\) | −4.94869 | − | 13.5884i | −0.275780 | − | 0.757255i | ||||
\(323\) | −1.20637 | + | 3.71282i | −0.0671241 | + | 0.206587i | ||||
\(324\) | −0.913545 | + | 0.406737i | −0.0507525 | + | 0.0225965i | ||||
\(325\) | 4.01375 | − | 38.1883i | 0.222643 | − | 2.11830i | ||||
\(326\) | 4.49508 | + | 21.1477i | 0.248960 | + | 1.17126i | ||||
\(327\) | −6.41689 | − | 1.36395i | −0.354855 | − | 0.0754267i | ||||
\(328\) | −1.52249 | − | 2.09552i | −0.0840653 | − | 0.115706i | ||||
\(329\) | −0.717723 | − | 1.14811i | −0.0395693 | − | 0.0632976i | ||||
\(330\) | 10.8082 | + | 0.954549i | 0.594974 | + | 0.0525462i | ||||
\(331\) | 0.226069 | − | 0.391563i | 0.0124259 | − | 0.0215222i | −0.859746 | − | 0.510723i | \(-0.829378\pi\) |
0.872171 | + | 0.489200i | \(0.162711\pi\) | |||||||
\(332\) | −6.53854 | − | 2.91114i | −0.358849 | − | 0.159770i | ||||
\(333\) | −6.81686 | + | 7.57089i | −0.373561 | + | 0.414882i | ||||
\(334\) | 7.05523 | − | 6.35255i | 0.386045 | − | 0.347596i | ||||
\(335\) | −23.3296 | + | 32.1104i | −1.27463 | + | 1.75438i | ||||
\(336\) | 2.37777 | − | 1.16027i | 0.129718 | − | 0.0632979i | ||||
\(337\) | −6.64249 | − | 2.15828i | −0.361839 | − | 0.117569i | 0.122455 | − | 0.992474i | \(-0.460923\pi\) |
−0.484294 | + | 0.874905i | \(0.660923\pi\) | |||||||
\(338\) | 6.72379 | − | 31.6329i | 0.365726 | − | 1.72060i | ||||
\(339\) | 6.55415 | − | 14.7209i | 0.355972 | − | 0.799527i | ||||
\(340\) | 5.15408 | − | 2.97571i | 0.279519 | − | 0.161380i | ||||
\(341\) | 15.4027 | + | 4.72293i | 0.834104 | + | 0.255761i | ||||
\(342\) | − | 2.14596i | − | 0.116040i | ||||||
\(343\) | −12.4003 | − | 13.7562i | −0.669551 | − | 0.742766i | ||||
\(344\) | −3.25284 | − | 10.0112i | −0.175381 | − | 0.539768i | ||||
\(345\) | 11.9652 | + | 13.2887i | 0.644187 | + | 0.715442i | ||||
\(346\) | 7.69028 | + | 0.808281i | 0.413432 | + | 0.0434534i | ||||
\(347\) | 13.3376 | + | 1.40183i | 0.715997 | + | 0.0752544i | 0.455520 | − | 0.890226i | \(-0.349453\pi\) |
0.260477 | + | 0.965480i | \(0.416120\pi\) | |||||||
\(348\) | −0.496633 | − | 0.551567i | −0.0266223 | − | 0.0295671i | ||||
\(349\) | 3.98850 | + | 12.2753i | 0.213500 | + | 0.657084i | 0.999257 | + | 0.0385489i | \(0.0122735\pi\) |
−0.785757 | + | 0.618535i | \(0.787726\pi\) | |||||||
\(350\) | 2.10263 | + | 14.9406i | 0.112391 | + | 0.798607i | ||||
\(351\) | − | 6.73347i | − | 0.359406i | ||||||
\(352\) | −1.99382 | − | 2.65041i | −0.106271 | − | 0.141268i | ||||
\(353\) | −26.8519 | + | 15.5029i | −1.42918 | + | 0.825137i | −0.997056 | − | 0.0766769i | \(-0.975569\pi\) |
−0.432124 | + | 0.901814i | \(0.642236\pi\) | |||||||
\(354\) | 0.898659 | − | 2.01842i | 0.0477632 | − | 0.107278i | ||||
\(355\) | −2.68512 | + | 12.6325i | −0.142512 | + | 0.670464i | ||||
\(356\) | 11.4450 | + | 3.71871i | 0.606584 | + | 0.197091i | ||||
\(357\) | 0.334838 | − | 4.80143i | 0.0177215 | − | 0.254118i | ||||
\(358\) | −5.43219 | + | 7.47676i | −0.287100 | + | 0.395159i | ||||
\(359\) | 8.23335 | − | 7.41334i | 0.434540 | − | 0.391261i | −0.422624 | − | 0.906305i | \(-0.638891\pi\) |
0.857164 | + | 0.515044i | \(0.172224\pi\) | |||||||
\(360\) | −2.18905 | + | 2.43119i | −0.115373 | + | 0.128135i | ||||
\(361\) | −13.1503 | − | 5.85491i | −0.692123 | − | 0.308153i | ||||
\(362\) | −6.38010 | + | 11.0507i | −0.335331 | + | 0.580810i | ||||
\(363\) | −9.70392 | − | 5.18014i | −0.509324 | − | 0.271887i | ||||
\(364\) | 0.625097 | + | 17.8041i | 0.0327640 | + | 0.933189i | ||||
\(365\) | −8.44425 | − | 11.6225i | −0.441992 | − | 0.608350i | ||||
\(366\) | 6.70659 | + | 1.42553i | 0.350559 | + | 0.0745136i | ||||
\(367\) | 0.211572 | + | 0.995368i | 0.0110440 | + | 0.0519578i | 0.983325 | − | 0.181859i | \(-0.0582116\pi\) |
−0.972281 | + | 0.233817i | \(0.924878\pi\) | |||||||
\(368\) | 0.571346 | − | 5.43600i | 0.0297835 | − | 0.283371i | ||||
\(369\) | 2.36627 | − | 1.05353i | 0.123183 | − | 0.0548447i | ||||
\(370\) | −10.2991 | + | 31.6975i | −0.535427 | + | 1.64788i | ||||
\(371\) | −31.9856 | + | 11.6486i | −1.66061 | + | 0.604768i | ||||
\(372\) | −3.92981 | + | 2.85517i | −0.203751 | + | 0.148034i | ||||
\(373\) | −13.4351 | − | 7.75679i | −0.695646 | − | 0.401631i | 0.110078 | − | 0.993923i | \(-0.464890\pi\) |
−0.805724 | + | 0.592292i | \(0.798223\pi\) | |||||||
\(374\) | −5.98915 | + | 0.730380i | −0.309692 | + | 0.0377670i | ||||
\(375\) | −1.14936 | − | 1.99074i | −0.0593525 | − | 0.102802i | ||||
\(376\) | −0.0534936 | − | 0.508957i | −0.00275872 | − | 0.0262475i | ||||
\(377\) | 4.75302 | − | 1.54435i | 0.244793 | − | 0.0795381i | ||||
\(378\) | 0.640550 | + | 2.56704i | 0.0329463 | + | 0.132034i | ||||
\(379\) | 18.0713 | + | 13.1295i | 0.928258 | + | 0.674419i | 0.945566 | − | 0.325431i | \(-0.105509\pi\) |
−0.0173075 | + | 0.999850i | \(0.505509\pi\) | |||||||
\(380\) | −2.85550 | − | 6.41355i | −0.146484 | − | 0.329008i | ||||
\(381\) | 12.8837 | − | 2.73851i | 0.660051 | − | 0.140298i | ||||
\(382\) | −4.22020 | − | 3.79989i | −0.215924 | − | 0.194419i | ||||
\(383\) | −21.0012 | + | 2.20732i | −1.07311 | + | 0.112789i | −0.624567 | − | 0.780971i | \(-0.714724\pi\) |
−0.448546 | + | 0.893760i | \(0.648058\pi\) | |||||||
\(384\) | 1.00000 | 0.0510310 | ||||||||
\(385\) | 7.44753 | − | 27.7243i | 0.379561 | − | 1.41296i | ||||
\(386\) | −3.46975 | −0.176605 | ||||||||
\(387\) | 10.4687 | − | 1.10031i | 0.532156 | − | 0.0559318i | ||||
\(388\) | −5.52804 | − | 4.97747i | −0.280644 | − | 0.252693i | ||||
\(389\) | 36.5214 | − | 7.76287i | 1.85171 | − | 0.393593i | 0.858784 | − | 0.512337i | \(-0.171220\pi\) |
0.992925 | + | 0.118744i | \(0.0378868\pi\) | |||||||
\(390\) | −8.95979 | − | 20.1240i | −0.453697 | − | 1.01902i | ||||
\(391\) | −8.04447 | − | 5.84465i | −0.406826 | − | 0.295576i | ||||
\(392\) | −1.93200 | − | 6.72810i | −0.0975808 | − | 0.339821i | ||||
\(393\) | 14.7397 | − | 4.78921i | 0.743518 | − | 0.241584i | ||||
\(394\) | 0.401989 | + | 3.82467i | 0.0202519 | + | 0.192684i | ||||
\(395\) | −22.3273 | − | 38.6721i | −1.12341 | − | 1.94580i | ||||
\(396\) | 3.00703 | − | 1.39920i | 0.151109 | − | 0.0703122i | ||||
\(397\) | 5.78726 | + | 3.34128i | 0.290454 | + | 0.167694i | 0.638147 | − | 0.769915i | \(-0.279701\pi\) |
−0.347692 | + | 0.937609i | \(0.613035\pi\) | |||||||
\(398\) | −11.4098 | + | 8.28973i | −0.571923 | + | 0.415527i | ||||
\(399\) | −5.59162 | − | 0.984865i | −0.279931 | − | 0.0493049i | ||||
\(400\) | −1.76222 | + | 5.42354i | −0.0881108 | + | 0.271177i | ||||
\(401\) | −9.36961 | + | 4.17162i | −0.467896 | + | 0.208321i | −0.627121 | − | 0.778922i | \(-0.715767\pi\) |
0.159225 | + | 0.987242i | \(0.449100\pi\) | |||||||
\(402\) | −1.26817 | + | 12.0658i | −0.0632505 | + | 0.601789i | ||||
\(403\) | −6.80036 | − | 31.9932i | −0.338750 | − | 1.59369i | ||||
\(404\) | 3.53904 | + | 0.752246i | 0.176074 | + | 0.0374256i | ||||
\(405\) | −1.92293 | − | 2.64669i | −0.0955514 | − | 0.131515i | ||||
\(406\) | −1.66511 | + | 1.04091i | −0.0826380 | + | 0.0516596i | ||||
\(407\) | 22.1882 | − | 25.4823i | 1.09983 | − | 1.26311i | ||||
\(408\) | 0.909588 | − | 1.57545i | 0.0450313 | − | 0.0779965i | ||||
\(409\) | −28.6581 | − | 12.7594i | −1.41705 | − | 0.630912i | −0.451773 | − | 0.892133i | \(-0.649208\pi\) |
−0.965279 | + | 0.261221i | \(0.915875\pi\) | |||||||
\(410\) | 5.67011 | − | 6.29729i | 0.280027 | − | 0.311001i | ||||
\(411\) | −0.0937851 | + | 0.0844445i | −0.00462608 | + | 0.00416534i | ||||
\(412\) | −4.90177 | + | 6.74671i | −0.241493 | + | 0.332387i | ||||
\(413\) | −4.84686 | − | 3.26791i | −0.238498 | − | 0.160804i | ||||
\(414\) | 5.19842 | + | 1.68907i | 0.255488 | + | 0.0830132i | ||||
\(415\) | 4.86827 | − | 22.9034i | 0.238974 | − | 1.12429i | ||||
\(416\) | −2.73875 | + | 6.15133i | −0.134278 | + | 0.301594i | ||||
\(417\) | −3.70301 | + | 2.13793i | −0.181337 | + | 0.104695i | ||||
\(418\) | 0.118367 | + | 7.11637i | 0.00578951 | + | 0.348073i | ||||
\(419\) | 1.47858i | 0.0722331i | 0.999348 | + | 0.0361166i | \(0.0114988\pi\) | ||||
−0.999348 | + | 0.0361166i | \(0.988501\pi\) | |||||||
\(420\) | 5.33018 | + | 6.81966i | 0.260086 | + | 0.332765i | ||||
\(421\) | −5.85225 | − | 18.0114i | −0.285221 | − | 0.877820i | −0.986332 | − | 0.164768i | \(-0.947312\pi\) |
0.701111 | − | 0.713052i | \(-0.252688\pi\) | |||||||
\(422\) | 18.6402 | + | 20.7020i | 0.907390 | + | 1.00776i | ||||
\(423\) | 0.508957 | + | 0.0534936i | 0.0247463 | + | 0.00260095i | ||||
\(424\) | −12.7957 | − | 1.34488i | −0.621414 | − | 0.0653132i | ||||
\(425\) | 6.94164 | + | 7.70948i | 0.336719 | + | 0.373964i | ||||
\(426\) | 1.21989 | + | 3.75445i | 0.0591040 | + | 0.181904i | ||||
\(427\) | 6.79233 | − | 16.8207i | 0.328704 | − | 0.814013i | ||||
\(428\) | 11.0597i | 0.534592i | ||||||||
\(429\) | 0.371404 | + | 22.3293i | 0.0179316 | + | 1.07807i | ||||
\(430\) | 29.8233 | − | 17.2185i | 1.43821 | − | 0.830351i | ||||
\(431\) | 6.70592 | − | 15.0617i | 0.323013 | − | 0.725499i | −0.676931 | − | 0.736046i | \(-0.736691\pi\) |
0.999944 | + | 0.0105472i | \(0.00335734\pi\) | |||||||
\(432\) | −0.207912 | + | 0.978148i | −0.0100032 | + | 0.0470611i | ||||
\(433\) | −30.8870 | − | 10.0358i | −1.48434 | − | 0.482290i | −0.548931 | − | 0.835868i | \(-0.684965\pi\) |
−0.935405 | + | 0.353578i | \(0.884965\pi\) | |||||||
\(434\) | 5.63602 | + | 11.5500i | 0.270538 | + | 0.554419i | ||||
\(435\) | 1.42721 | − | 1.96439i | 0.0684296 | − | 0.0941853i | ||||
\(436\) | −4.87521 | + | 4.38966i | −0.233480 | + | 0.210227i | ||||
\(437\) | −7.84871 | + | 8.71687i | −0.375455 | + | 0.416985i | ||||
\(438\) | −4.01169 | − | 1.78612i | −0.191686 | − | 0.0853440i | ||||
\(439\) | 2.79577 | − | 4.84242i | 0.133435 | − | 0.231116i | −0.791564 | − | 0.611087i | \(-0.790733\pi\) |
0.924998 | + | 0.379971i | \(0.124066\pi\) | |||||||
\(440\) | 7.12517 | − | 8.18298i | 0.339679 | − | 0.390108i | ||||
\(441\) | 6.98276 | − | 0.490931i | 0.332513 | − | 0.0233777i | ||||
\(442\) | 7.20000 | + | 9.90994i | 0.342469 | + | 0.471368i | ||||
\(443\) | −10.7311 | − | 2.28097i | −0.509850 | − | 0.108372i | −0.0541985 | − | 0.998530i | \(-0.517260\pi\) |
−0.455652 | + | 0.890158i | \(0.650594\pi\) | |||||||
\(444\) | 2.11813 | + | 9.96501i | 0.100522 | + | 0.472918i | ||||
\(445\) | −4.11519 | + | 39.1534i | −0.195079 | + | 1.85605i | ||||
\(446\) | 14.8965 | − | 6.63235i | 0.705370 | − | 0.314051i | ||||
\(447\) | −0.708100 | + | 2.17931i | −0.0334920 | + | 0.103078i | ||||
\(448\) | 0.458938 | − | 2.60564i | 0.0216828 | − | 0.123105i | ||||
\(449\) | −5.76821 | + | 4.19085i | −0.272219 | + | 0.197778i | −0.715516 | − | 0.698596i | \(-0.753808\pi\) |
0.443298 | + | 0.896374i | \(0.353808\pi\) | |||||||
\(450\) | −4.93864 | − | 2.85133i | −0.232810 | − | 0.134413i | ||||
\(451\) | −7.78884 | + | 3.62421i | −0.366762 | + | 0.170657i | ||||
\(452\) | −8.05699 | − | 13.9551i | −0.378969 | − | 0.656394i | ||||
\(453\) | 0.736512 | + | 7.00744i | 0.0346043 | + | 0.329238i | ||||
\(454\) | −7.41135 | + | 2.40809i | −0.347832 | + | 0.113017i | ||||
\(455\) | −56.5480 | + | 14.1103i | −2.65101 | + | 0.661503i | ||||
\(456\) | −1.73612 | − | 1.26137i | −0.0813013 | − | 0.0590689i | ||||
\(457\) | −0.205473 | − | 0.461499i | −0.00961161 | − | 0.0215880i | 0.908676 | − | 0.417502i | \(-0.137094\pi\) |
−0.918287 | + | 0.395914i | \(0.870428\pi\) | |||||||
\(458\) | −5.23958 | + | 1.11371i | −0.244829 | + | 0.0520401i | ||||
\(459\) | 1.35191 | + | 1.21727i | 0.0631018 | + | 0.0568171i | ||||
\(460\) | 17.7838 | − | 1.86915i | 0.829175 | − | 0.0871498i | ||||
\(461\) | 27.6728 | 1.28885 | 0.644425 | − | 0.764667i | \(-0.277097\pi\) | ||||
0.644425 | + | 0.764667i | \(0.277097\pi\) | |||||||
\(462\) | −2.26576 | − | 8.47740i | −0.105413 | − | 0.394404i | ||||
\(463\) | −16.4760 | −0.765704 | −0.382852 | − | 0.923810i | \(-0.625058\pi\) | ||||
−0.382852 | + | 0.923810i | \(0.625058\pi\) | |||||||
\(464\) | −0.738140 | + | 0.0775817i | −0.0342673 | + | 0.00360164i | ||||
\(465\) | −11.8095 | − | 10.6334i | −0.547654 | − | 0.493110i | ||||
\(466\) | 12.7987 | − | 2.72044i | 0.592886 | − | 0.126022i | ||||
\(467\) | −14.2220 | − | 31.9432i | −0.658116 | − | 1.47815i | −0.866023 | − | 0.500004i | \(-0.833332\pi\) |
0.207907 | − | 0.978149i | \(-0.433335\pi\) | |||||||
\(468\) | −5.44749 | − | 3.95783i | −0.251810 | − | 0.182951i | ||||
\(469\) | 30.8572 | + | 8.84186i | 1.42485 | + | 0.408279i | ||||
\(470\) | 1.59228 | − | 0.517362i | 0.0734463 | − | 0.0238642i | ||||
\(471\) | 0.862313 | + | 8.20436i | 0.0397333 | + | 0.378037i | ||||
\(472\) | −1.10472 | − | 1.91343i | −0.0508488 | − | 0.0880727i | ||||
\(473\) | −34.6554 | + | 4.22624i | −1.59346 | + | 0.194323i | ||||
\(474\) | −11.8209 | − | 6.82482i | −0.542953 | − | 0.313474i | ||||
\(475\) | 9.90049 | − | 7.19313i | 0.454266 | − | 0.330043i | ||||
\(476\) | −3.68762 | − | 3.09310i | −0.169022 | − | 0.141772i | ||||
\(477\) | 3.97587 | − | 12.2365i | 0.182043 | − | 0.560269i | ||||
\(478\) | 18.8554 | − | 8.39495i | 0.862424 | − | 0.383976i | ||||
\(479\) | 1.72541 | − | 16.4162i | 0.0788359 | − | 0.750073i | −0.881680 | − | 0.471848i | \(-0.843587\pi\) |
0.960516 | − | 0.278225i | \(-0.0897462\pi\) | |||||||
\(480\) | 0.680181 | + | 3.20000i | 0.0310459 | + | 0.146059i | ||||
\(481\) | −67.0991 | − | 14.2624i | −3.05946 | − | 0.650307i | ||||
\(482\) | 9.75065 | + | 13.4206i | 0.444130 | + | 0.611293i | ||||
\(483\) | 6.78686 | − | 12.7700i | 0.308813 | − | 0.581057i | ||||
\(484\) | −9.89465 | + | 4.80583i | −0.449757 | + | 0.218447i | ||||
\(485\) | 12.1678 | − | 21.0753i | 0.552513 | − | 0.956981i | ||||
\(486\) | −0.913545 | − | 0.406737i | −0.0414393 | − | 0.0184499i | ||||
\(487\) | 17.0420 | − | 18.9270i | 0.772246 | − | 0.857666i | −0.220809 | − | 0.975317i | \(-0.570870\pi\) |
0.993055 | + | 0.117651i | \(0.0375365\pi\) | |||||||
\(488\) | 5.09531 | − | 4.58784i | 0.230654 | − | 0.207682i | ||||
\(489\) | −12.7080 | + | 17.4911i | −0.574676 | + | 0.790973i | ||||
\(490\) | 20.2158 | − | 10.7587i | 0.913258 | − | 0.486030i | ||||
\(491\) | 22.5684 | + | 7.33293i | 1.01850 | + | 0.330930i | 0.770234 | − | 0.637762i | \(-0.220140\pi\) |
0.248265 | + | 0.968692i | \(0.420140\pi\) | |||||||
\(492\) | 0.538535 | − | 2.53361i | 0.0242790 | − | 0.114224i | ||||
\(493\) | −0.549177 | + | 1.23347i | −0.0247337 | + | 0.0555528i | ||||
\(494\) | 12.5139 | − | 7.22489i | 0.563026 | − | 0.325063i | ||||
\(495\) | 6.52275 | + | 8.67080i | 0.293176 | + | 0.389724i | ||||
\(496\) | 4.85751i | 0.218109i | ||||||||
\(497\) | 10.3426 | − | 1.45555i | 0.463929 | − | 0.0652903i | ||||
\(498\) | −2.21173 | − | 6.80702i | −0.0991102 | − | 0.305030i | ||||
\(499\) | −6.13376 | − | 6.81224i | −0.274585 | − | 0.304958i | 0.590041 | − | 0.807373i | \(-0.299111\pi\) |
−0.864626 | + | 0.502416i | \(0.832445\pi\) | |||||||
\(500\) | −2.28612 | − | 0.240281i | −0.102238 | − | 0.0107457i | ||||
\(501\) | 9.44174 | + | 0.992366i | 0.421826 | + | 0.0443357i | ||||
\(502\) | −14.5189 | − | 16.1249i | −0.648010 | − | 0.719688i | ||||
\(503\) | 3.47584 | + | 10.6975i | 0.154980 | + | 0.476980i | 0.998159 | − | 0.0606536i | \(-0.0193185\pi\) |
−0.843179 | + | 0.537633i | \(0.819319\pi\) | |||||||
\(504\) | 2.45328 | + | 0.990653i | 0.109278 | + | 0.0441272i | ||||
\(505\) | 11.8366i | 0.526721i | ||||||||
\(506\) | −17.3320 | − | 5.31450i | −0.770501 | − | 0.236258i | ||||
\(507\) | 28.0069 | − | 16.1698i | 1.24383 | − | 0.718126i | ||||
\(508\) | 5.35734 | − | 12.0328i | 0.237694 | − | 0.533868i | ||||
\(509\) | 0.154434 | − | 0.726554i | 0.00684516 | − | 0.0322040i | −0.974592 | − | 0.223985i | \(-0.928093\pi\) |
0.981438 | + | 0.191782i | \(0.0614265\pi\) | |||||||
\(510\) | 5.66013 | + | 1.83909i | 0.250635 | + | 0.0814362i | ||||
\(511\) | −6.49510 | + | 9.63330i | −0.287326 | + | 0.426152i | ||||
\(512\) | 0.587785 | − | 0.809017i | 0.0259767 | − | 0.0357538i | ||||
\(513\) | 1.59476 | − | 1.43593i | 0.0704105 | − | 0.0633979i | ||||
\(514\) | −0.217696 | + | 0.241776i | −0.00960214 | + | 0.0106643i | ||||
\(515\) | −24.9236 | − | 11.0967i | −1.09826 | − | 0.488979i | ||||
\(516\) | 5.26320 | − | 9.11613i | 0.231700 | − | 0.401315i | ||||
\(517\) | −1.69074 | − | 0.149321i | −0.0743585 | − | 0.00656711i | ||||
\(518\) | 26.9373 | − | 0.945762i | 1.18356 | − | 0.0415544i | ||||
\(519\) | 4.54513 | + | 6.25584i | 0.199509 | + | 0.274601i | ||||
\(520\) | −21.5471 | − | 4.57998i | −0.944903 | − | 0.200845i | ||||
\(521\) | 3.83883 | + | 18.0603i | 0.168182 | + | 0.791234i | 0.978663 | + | 0.205470i | \(0.0658723\pi\) |
−0.810481 | + | 0.585764i | \(0.800794\pi\) | |||||||
\(522\) | 0.0775817 | − | 0.738140i | 0.00339566 | − | 0.0323075i | ||||
\(523\) | −17.9637 | + | 7.99794i | −0.785496 | + | 0.349725i | −0.759978 | − | 0.649949i | \(-0.774790\pi\) |
−0.0255183 | + | 0.999674i | \(0.508124\pi\) | |||||||
\(524\) | 4.78921 | − | 14.7397i | 0.209218 | − | 0.643906i | ||||
\(525\) | −9.69607 | + | 11.5598i | −0.423171 | + | 0.504509i | ||||
\(526\) | 4.24268 | − | 3.08249i | 0.184990 | − | 0.134403i | ||||
\(527\) | 7.65278 | + | 4.41833i | 0.333360 | + | 0.192466i | ||||
\(528\) | 0.635517 | − | 3.25517i | 0.0276573 | − | 0.141663i | ||||
\(529\) | −3.43825 | − | 5.95523i | −0.149489 | − | 0.258923i | ||||
\(530\) | −4.39977 | − | 41.8610i | −0.191114 | − | 1.81833i | ||||
\(531\) | 2.10130 | − | 0.682754i | 0.0911886 | − | 0.0296290i | ||||
\(532\) | −4.08344 | + | 3.94482i | −0.177040 | + | 0.171030i | ||||
\(533\) | 14.1101 | + | 10.2516i | 0.611178 | + | 0.444047i | ||||
\(534\) | 4.89466 | + | 10.9936i | 0.211813 | + | 0.475739i | ||||
\(535\) | −35.3911 | + | 7.52261i | −1.53009 | + | 0.325231i | ||||
\(536\) | 9.01605 | + | 8.11808i | 0.389434 | + | 0.350648i | ||||
\(537\) | −9.19116 | + | 0.966030i | −0.396628 | + | 0.0416873i | ||||
\(538\) | 3.15133 | 0.135864 | ||||||||
\(539\) | −23.1289 | + | 2.01316i | −0.996233 | + | 0.0867130i | ||||
\(540\) | −3.27149 | −0.140783 | ||||||||
\(541\) | 23.2736 | − | 2.44616i | 1.00061 | − | 0.105169i | 0.409967 | − | 0.912100i | \(-0.365540\pi\) |
0.590645 | + | 0.806932i | \(0.298873\pi\) | |||||||
\(542\) | −14.3443 | − | 12.9156i | −0.616138 | − | 0.554774i | ||||
\(543\) | −12.4814 | + | 2.65300i | −0.535627 | + | 0.113851i | ||||
\(544\) | −0.739925 | − | 1.66190i | −0.0317240 | − | 0.0712534i | ||||
\(545\) | −17.3629 | − | 12.6149i | −0.743747 | − | 0.540363i | ||||
\(546\) | −12.8128 | + | 12.3778i | −0.548336 | + | 0.529722i | ||||
\(547\) | −13.5664 | + | 4.40800i | −0.580058 | + | 0.188472i | −0.584327 | − | 0.811519i | \(-0.698641\pi\) |
0.00426837 | + | 0.999991i | \(0.498641\pi\) | |||||||
\(548\) | 0.0131915 | + | 0.125509i | 0.000563514 | + | 0.00536148i | ||||
\(549\) | 3.42821 | + | 5.93783i | 0.146312 | + | 0.253420i | ||||
\(550\) | 16.5346 | + | 9.18306i | 0.705039 | + | 0.391567i | ||||
\(551\) | 1.37936 | + | 0.796374i | 0.0587627 | + | 0.0339267i | ||||
\(552\) | 4.42204 | − | 3.21280i | 0.188214 | − | 0.136746i | ||||
\(553\) | −23.2081 | + | 27.6689i | −0.986909 | + | 1.17660i | ||||
\(554\) | −8.60427 | + | 26.4812i | −0.365560 | + | 1.12508i | ||||
\(555\) | −30.4473 | + | 13.5560i | −1.29242 | + | 0.575421i | ||||
\(556\) | −0.446950 | + | 4.25245i | −0.0189549 | + | 0.180344i | ||||
\(557\) | 4.60367 | + | 21.6586i | 0.195064 | + | 0.917703i | 0.961377 | + | 0.275236i | \(0.0887559\pi\) |
−0.766313 | + | 0.642468i | \(0.777911\pi\) | |||||||
\(558\) | −4.75136 | − | 1.00993i | −0.201141 | − | 0.0427539i | ||||
\(559\) | 41.6618 | + | 57.3425i | 1.76211 | + | 2.42533i | ||||
\(560\) | 8.65022 | − | 0.303707i | 0.365539 | − | 0.0128340i | ||||
\(561\) | −4.55030 | − | 3.96209i | −0.192114 | − | 0.167279i | ||||
\(562\) | −14.4573 | + | 25.0408i | −0.609844 | + | 1.05628i | ||||
\(563\) | −40.5303 | − | 18.0453i | −1.70815 | − | 0.760517i | −0.998429 | − | 0.0560351i | \(-0.982154\pi\) |
−0.709721 | − | 0.704482i | \(-0.751179\pi\) | |||||||
\(564\) | 0.342435 | − | 0.380312i | 0.0144191 | − | 0.0160140i | ||||
\(565\) | 39.1762 | − | 35.2744i | 1.64815 | − | 1.48400i | ||||
\(566\) | −3.99206 | + | 5.49460i | −0.167799 | + | 0.230955i | ||||
\(567\) | −1.47907 | + | 2.19371i | −0.0621152 | + | 0.0921270i | ||||
\(568\) | 3.75445 | + | 1.21989i | 0.157533 | + | 0.0511856i | ||||
\(569\) | 5.66936 | − | 26.6722i | 0.237672 | − | 1.11816i | −0.683787 | − | 0.729682i | \(-0.739668\pi\) |
0.921459 | − | 0.388476i | \(-0.126998\pi\) | |||||||
\(570\) | 2.85550 | − | 6.41355i | 0.119604 | − | 0.268634i | ||||
\(571\) | −9.79760 | + | 5.65665i | −0.410017 | + | 0.236723i | −0.690797 | − | 0.723049i | \(-0.742740\pi\) |
0.280780 | + | 0.959772i | \(0.409407\pi\) | |||||||
\(572\) | 18.2831 | + | 12.8244i | 0.764455 | + | 0.536214i | ||||
\(573\) | − | 5.67884i | − | 0.237237i | ||||||
\(574\) | −6.35452 | − | 2.56600i | −0.265233 | − | 0.107103i | ||||
\(575\) | 9.63217 | + | 29.6448i | 0.401689 | + | 1.23627i | ||||
\(576\) | 0.669131 | + | 0.743145i | 0.0278804 | + | 0.0309644i | ||||
\(577\) | 19.5025 | + | 2.04979i | 0.811898 | + | 0.0853339i | 0.501373 | − | 0.865231i | \(-0.332828\pi\) |
0.310525 | + | 0.950565i | \(0.399495\pi\) | |||||||
\(578\) | 13.6156 | + | 1.43106i | 0.566334 | + | 0.0595241i | ||||
\(579\) | −2.32171 | − | 2.57852i | −0.0964871 | − | 0.107160i | ||||
\(580\) | −0.750331 | − | 2.30928i | −0.0311558 | − | 0.0958876i | ||||
\(581\) | −18.7517 | + | 2.63899i | −0.777952 | + | 0.109484i | ||||
\(582\) | − | 7.43871i | − | 0.308345i | ||||||
\(583\) | −12.5097 | + | 40.7975i | −0.518099 | + | 1.68966i | ||||
\(584\) | −3.80301 | + | 2.19567i | −0.157370 | + | 0.0908574i | ||||
\(585\) | 8.95979 | − | 20.1240i | 0.370442 | − | 0.832026i | ||||
\(586\) | −3.74526 | + | 17.6201i | −0.154715 | + | 0.727878i | ||||
\(587\) | −14.7976 | − | 4.80804i | −0.610764 | − | 0.198449i | −0.0127284 | − | 0.999919i | \(-0.504052\pi\) |
−0.598035 | + | 0.801470i | \(0.704052\pi\) | |||||||
\(588\) | 3.70719 | − | 5.93774i | 0.152882 | − | 0.244868i | ||||
\(589\) | 6.12710 | − | 8.43323i | 0.252463 | − | 0.347485i | ||||
\(590\) | 5.37156 | − | 4.83658i | 0.221144 | − | 0.199119i | ||||
\(591\) | −2.57330 | + | 2.85794i | −0.105852 | + | 0.117560i | ||||
\(592\) | 9.30687 | + | 4.14368i | 0.382510 | + | 0.170304i | ||||
\(593\) | 10.4757 | − | 18.1445i | 0.430187 | − | 0.745106i | −0.566702 | − | 0.823923i | \(-0.691781\pi\) |
0.996889 | + | 0.0788169i | \(0.0251142\pi\) | |||||||
\(594\) | 3.05190 | + | 1.29842i | 0.125221 | + | 0.0532747i | ||||
\(595\) | 7.38966 | − | 13.9043i | 0.302947 | − | 0.570019i | ||||
\(596\) | 1.34689 | + | 1.85383i | 0.0551706 | + | 0.0759359i | ||||
\(597\) | −13.7951 | − | 2.93225i | −0.564597 | − | 0.120009i | ||||
\(598\) | 7.65214 | + | 36.0005i | 0.312919 | + | 1.47217i | ||||
\(599\) | −0.204752 | + | 1.94809i | −0.00836595 | + | 0.0795967i | −0.997908 | − | 0.0646464i | \(-0.979408\pi\) |
0.989542 | + | 0.144243i | \(0.0460747\pi\) | |||||||
\(600\) | −5.20963 | + | 2.31948i | −0.212682 | + | 0.0946922i | ||||
\(601\) | 14.7021 | − | 45.2486i | 0.599713 | − | 1.84573i | 0.0700055 | − | 0.997547i | \(-0.477698\pi\) |
0.529708 | − | 0.848180i | \(-0.322302\pi\) | |||||||
\(602\) | −21.3379 | − | 17.8978i | −0.869668 | − | 0.729459i | ||||
\(603\) | −9.81523 | + | 7.13118i | −0.399707 | + | 0.290404i | ||||
\(604\) | 6.10205 | + | 3.52302i | 0.248289 | + | 0.143350i | ||||
\(605\) | −22.1088 | − | 28.3940i | −0.898851 | − | 1.15438i | ||||
\(606\) | 1.80905 | + | 3.13337i | 0.0734877 | + | 0.127284i | ||||
\(607\) | 1.25967 | + | 11.9850i | 0.0511285 | + | 0.486455i | 0.989885 | + | 0.141873i | \(0.0453126\pi\) |
−0.938756 | + | 0.344582i | \(0.888021\pi\) | |||||||
\(608\) | −2.04093 | + | 0.663139i | −0.0827708 | + | 0.0268939i | ||||
\(609\) | −1.88773 | − | 0.540911i | −0.0764945 | − | 0.0219188i | ||||
\(610\) | 18.1468 | + | 13.1844i | 0.734743 | + | 0.533822i | ||||
\(611\) | 1.40158 | + | 3.14801i | 0.0567020 | + | 0.127355i | ||||
\(612\) | 1.77942 | − | 0.378228i | 0.0719289 | − | 0.0152890i | ||||
\(613\) | −7.70135 | − | 6.93432i | −0.311054 | − | 0.280075i | 0.498786 | − | 0.866725i | \(-0.333779\pi\) |
−0.809840 | + | 0.586651i | \(0.800446\pi\) | |||||||
\(614\) | 8.10626 | − | 0.852002i | 0.327142 | − | 0.0343840i | ||||
\(615\) | 8.47384 | 0.341698 | ||||||||
\(616\) | −8.19014 | − | 3.14985i | −0.329990 | − | 0.126911i | ||||
\(617\) | −30.8158 | −1.24060 | −0.620299 | − | 0.784365i | \(-0.712989\pi\) | ||||
−0.620299 | + | 0.784365i | \(0.712989\pi\) | |||||||
\(618\) | −8.29371 | + | 0.871704i | −0.333622 | + | 0.0350651i | ||||
\(619\) | −2.75737 | − | 2.48275i | −0.110828 | − | 0.0997901i | 0.611854 | − | 0.790971i | \(-0.290424\pi\) |
−0.722682 | + | 0.691181i | \(0.757091\pi\) | |||||||
\(620\) | −15.5440 | + | 3.30399i | −0.624264 | + | 0.132691i | ||||
\(621\) | 2.22320 | + | 4.99338i | 0.0892139 | + | 0.200378i | ||||
\(622\) | 27.0338 | + | 19.6412i | 1.08396 | + | 0.787540i | ||||
\(623\) | 30.8917 | − | 7.70836i | 1.23765 | − | 0.308829i | ||||
\(624\) | −6.40391 | + | 2.08076i | −0.256362 | + | 0.0832969i | ||||
\(625\) | 2.19437 | + | 20.8780i | 0.0877748 | + | 0.835121i | ||||
\(626\) | 1.91021 | + | 3.30858i | 0.0763474 | + | 0.132238i | ||||
\(627\) | −5.20929 | + | 4.84975i | −0.208039 | + | 0.193680i | ||||
\(628\) | 7.14432 | + | 4.12478i | 0.285090 | + | 0.164597i | ||||
\(629\) | 14.9936 | − | 10.8935i | 0.597834 | − | 0.434351i | ||||
\(630\) | −1.50141 | + | 8.52434i | −0.0598177 | + | 0.339618i | ||||
\(631\) | −4.55896 | + | 14.0311i | −0.181490 | + | 0.558567i | −0.999870 | − | 0.0161091i | \(-0.994872\pi\) |
0.818381 | + | 0.574676i | \(0.194872\pi\) | |||||||
\(632\) | −12.4696 | + | 5.55181i | −0.496012 | + | 0.220839i | ||||
\(633\) | −2.91188 | + | 27.7047i | −0.115737 | + | 1.10116i | ||||
\(634\) | −1.15221 | − | 5.42074i | −0.0457603 | − | 0.215285i | ||||
\(635\) | 42.1489 | + | 8.95902i | 1.67263 | + | 0.355528i | ||||
\(636\) | −7.56255 | − | 10.4090i | −0.299875 | − | 0.412742i | ||||
\(637\) | 26.3719 | + | 39.0661i | 1.04489 | + | 1.54786i | ||||
\(638\) | −0.216559 | + | 2.45208i | −0.00857367 | + | 0.0970786i | ||||
\(639\) | −1.97383 | + | 3.41877i | −0.0780835 | + | 0.135245i | ||||
\(640\) | 2.98866 | + | 1.33064i | 0.118137 | + | 0.0525980i | ||||
\(641\) | 19.0749 | − | 21.1848i | 0.753412 | − | 0.836749i | −0.237482 | − | 0.971392i | \(-0.576322\pi\) |
0.990894 | + | 0.134643i | \(0.0429887\pi\) | |||||||
\(642\) | −8.21897 | + | 7.40039i | −0.324377 | + | 0.292070i | ||||
\(643\) | 15.0738 | − | 20.7474i | 0.594454 | − | 0.818196i | −0.400732 | − | 0.916195i | \(-0.631244\pi\) |
0.995187 | + | 0.0979989i | \(0.0312442\pi\) | |||||||
\(644\) | −6.34197 | − | 12.9967i | −0.249908 | − | 0.512143i | ||||
\(645\) | 32.7516 | + | 10.6416i | 1.28959 | + | 0.419014i | ||||
\(646\) | −0.811663 | + | 3.81858i | −0.0319345 | + | 0.150240i | ||||
\(647\) | 8.50461 | − | 19.1017i | 0.334351 | − | 0.750964i | −0.665638 | − | 0.746275i | \(-0.731841\pi\) |
0.999989 | − | 0.00468953i | \(-0.00149273\pi\) | |||||||
\(648\) | −0.866025 | + | 0.500000i | −0.0340207 | + | 0.0196419i | ||||
\(649\) | −6.93060 | + | 2.38003i | −0.272050 | + | 0.0934242i | ||||
\(650\) | − | 38.3986i | − | 1.50612i | ||||||
\(651\) | −4.81211 | + | 11.9169i | −0.188601 | + | 0.467059i | ||||
\(652\) | 6.68099 | + | 20.5620i | 0.261648 | + | 0.805269i | ||||
\(653\) | 6.49730 | + | 7.21598i | 0.254259 | + | 0.282383i | 0.856738 | − | 0.515751i | \(-0.172487\pi\) |
−0.602479 | + | 0.798134i | \(0.705820\pi\) | |||||||
\(654\) | −6.52430 | − | 0.685732i | −0.255121 | − | 0.0268142i | ||||
\(655\) | 50.4245 | + | 5.29983i | 1.97025 | + | 0.207081i | ||||
\(656\) | −1.73319 | − | 1.92490i | −0.0676696 | − | 0.0751547i | ||||
\(657\) | −1.35700 | − | 4.17641i | −0.0529415 | − | 0.162937i | ||||
\(658\) | −0.833802 | − | 1.06680i | −0.0325050 | − | 0.0415883i | ||||
\(659\) | − | 12.9861i | − | 0.505867i | −0.967484 | − | 0.252934i | \(-0.918605\pi\) | ||
0.967484 | − | 0.252934i | \(-0.0813954\pi\) | |||||||
\(660\) | 10.8488 | − | 0.180449i | 0.422289 | − | 0.00702395i | ||||
\(661\) | 42.5025 | − | 24.5388i | 1.65316 | − | 0.954450i | 0.677392 | − | 0.735623i | \(-0.263110\pi\) |
0.975764 | − | 0.218827i | \(-0.0702231\pi\) | |||||||
\(662\) | 0.183901 | − | 0.413048i | 0.00714751 | − | 0.0160536i | ||||
\(663\) | −2.54679 | + | 11.9817i | −0.0989090 | + | 0.465330i | ||||
\(664\) | −6.80702 | − | 2.21173i | −0.264163 | − | 0.0858319i | ||||
\(665\) | −15.4009 | − | 10.3838i | −0.597222 | − | 0.402667i | ||||
\(666\) | −5.98814 | + | 8.24197i | −0.232036 | + | 0.319370i | ||||
\(667\) | −3.01483 | + | 2.71457i | −0.116735 | + | 0.105108i | ||||
\(668\) | 6.35255 | − | 7.05523i | 0.245788 | − | 0.272975i | ||||
\(669\) | 14.8965 | + | 6.63235i | 0.575932 | + | 0.256422i | ||||
\(670\) | −19.8453 | + | 34.3731i | −0.766692 | + | 1.32795i | ||||
\(671\) | −11.6960 | − | 19.5017i | −0.451520 | − | 0.752856i | ||||
\(672\) | 2.24346 | − | 1.40246i | 0.0865433 | − | 0.0541010i | ||||
\(673\) | 20.0426 | + | 27.5863i | 0.772586 | + | 1.06337i | 0.996062 | + | 0.0886640i | \(0.0282597\pi\) |
−0.223475 | + | 0.974710i | \(0.571740\pi\) | |||||||
\(674\) | −6.83170 | − | 1.45212i | −0.263147 | − | 0.0559337i | ||||
\(675\) | −1.18565 | − | 5.57803i | −0.0456356 | − | 0.214699i | ||||
\(676\) | 3.38041 | − | 32.1625i | 0.130016 | − | 1.23702i | ||||
\(677\) | −35.9563 | + | 16.0088i | −1.38191 | + | 0.615267i | −0.957032 | − | 0.289983i | \(-0.906350\pi\) |
−0.424880 | + | 0.905250i | \(0.639684\pi\) | |||||||
\(678\) | 4.97950 | − | 15.3253i | 0.191236 | − | 0.588565i | ||||
\(679\) | −19.3826 | − | 3.41391i | −0.743837 | − | 0.131014i | ||||
\(680\) | 4.81480 | − | 3.49815i | 0.184639 | − | 0.134148i | ||||
\(681\) | −6.74872 | − | 3.89638i | −0.258612 | − | 0.149310i | ||||
\(682\) | 15.8120 | + | 3.08703i | 0.605473 | + | 0.118209i | ||||
\(683\) | −0.788393 | − | 1.36554i | −0.0301670 | − | 0.0522508i | 0.850548 | − | 0.525898i | \(-0.176271\pi\) |
−0.880715 | + | 0.473647i | \(0.842937\pi\) | |||||||
\(684\) | −0.224314 | − | 2.13421i | −0.00857687 | − | 0.0816035i | ||||
\(685\) | −0.392656 | + | 0.127582i | −0.0150026 | + | 0.00487465i | ||||
\(686\) | −13.7702 | − | 12.3847i | −0.525751 | − | 0.472849i | ||||
\(687\) | −4.33361 | − | 3.14855i | −0.165337 | − | 0.120125i | ||||
\(688\) | −4.28147 | − | 9.61635i | −0.163230 | − | 0.366620i | ||||
\(689\) | 84.7409 | − | 18.0122i | 3.22837 | − | 0.686211i | ||||
\(690\) | 13.2887 | + | 11.9652i | 0.505894 | + | 0.455509i | ||||
\(691\) | 11.1083 | − | 1.16752i | 0.422578 | − | 0.0444147i | 0.109147 | − | 0.994026i | \(-0.465188\pi\) |
0.313431 | + | 0.949611i | \(0.398522\pi\) | |||||||
\(692\) | 7.73264 | 0.293951 | ||||||||
\(693\) | 4.78385 | − | 7.35628i | 0.181723 | − | 0.279442i | ||||
\(694\) | 13.4110 | 0.509075 | ||||||||
\(695\) | −13.9118 | + | 1.46219i | −0.527706 | + | 0.0554641i | ||||
\(696\) | −0.551567 | − | 0.496633i | −0.0209071 | − | 0.0188248i | ||||
\(697\) | −4.60908 | + | 0.979689i | −0.174581 | + | 0.0371084i | ||||
\(698\) | 5.24977 | + | 11.7912i | 0.198707 | + | 0.446303i | ||||
\(699\) | 10.5857 | + | 7.69093i | 0.400386 | + | 0.290898i | ||||
\(700\) | 3.65283 | + | 14.6389i | 0.138064 | + | 0.553300i | ||||
\(701\) | 46.9059 | − | 15.2407i | 1.77161 | − | 0.575632i | 0.773319 | − | 0.634018i | \(-0.218595\pi\) |
0.998294 | + | 0.0583859i | \(0.0185954\pi\) | |||||||
\(702\) | −0.703839 | − | 6.69658i | −0.0265647 | − | 0.252746i | ||||
\(703\) | −10.9311 | − | 18.9333i | −0.412276 | − | 0.714083i | ||||
\(704\) | −2.25994 | − | 2.42748i | −0.0851746 | − | 0.0914892i | ||||
\(705\) | 1.44992 | + | 0.837110i | 0.0546070 | + | 0.0315274i | ||||
\(706\) | −25.0843 | + | 18.2248i | −0.944058 | + | 0.685899i | ||||
\(707\) | 8.99468 | − | 3.27572i | 0.338280 | − | 0.123196i | ||||
\(708\) | 0.682754 | − | 2.10130i | 0.0256594 | − | 0.0789717i | ||||
\(709\) | 22.8578 | − | 10.1769i | 0.858441 | − | 0.382203i | 0.0701733 | − | 0.997535i | \(-0.477645\pi\) |
0.788268 | + | 0.615332i | \(0.210978\pi\) | |||||||
\(710\) | −1.34996 | + | 12.8440i | −0.0506630 | + | 0.482026i | ||||
\(711\) | −2.83792 | − | 13.3514i | −0.106430 | − | 0.500715i | ||||
\(712\) | 11.7710 | + | 2.50201i | 0.441137 | + | 0.0937666i | ||||
\(713\) | 15.6062 | + | 21.4801i | 0.584457 | + | 0.804436i | ||||
\(714\) | −0.168882 | − | 4.81012i | −0.00632025 | − | 0.180014i | ||||
\(715\) | −28.6022 | + | 67.2288i | −1.06966 | + | 2.51421i | ||||
\(716\) | −4.62089 | + | 8.00362i | −0.172691 | + | 0.299109i | ||||
\(717\) | 18.8554 | + | 8.39495i | 0.704166 | + | 0.313515i | ||||
\(718\) | 7.41334 | − | 8.23335i | 0.276663 | − | 0.307266i | ||||
\(719\) | −6.34316 | + | 5.71140i | −0.236560 | + | 0.212999i | −0.778881 | − | 0.627172i | \(-0.784212\pi\) |
0.542321 | + | 0.840171i | \(0.317546\pi\) | |||||||
\(720\) | −1.92293 | + | 2.64669i | −0.0716635 | + | 0.0986364i | ||||
\(721\) | −1.53495 | + | 22.0105i | −0.0571645 | + | 0.819714i | ||||
\(722\) | −13.6903 | − | 4.44825i | −0.509500 | − | 0.165547i | ||||
\(723\) | −3.44901 | + | 16.2263i | −0.128270 | + | 0.603462i | ||||
\(724\) | −5.19004 | + | 11.6570i | −0.192886 | + | 0.433230i | ||||
\(725\) | 3.66549 | − | 2.11627i | 0.136133 | − | 0.0785963i | ||||
\(726\) | −10.1922 | − | 4.13743i | −0.378269 | − | 0.153554i | ||||
\(727\) | 21.2950i | 0.789788i | 0.918727 | + | 0.394894i | \(0.129219\pi\) | ||||
−0.918727 | + | 0.394894i | \(0.870781\pi\) | |||||||
\(728\) | 2.48271 | + | 17.6412i | 0.0920154 | + | 0.653828i | ||||
\(729\) | −0.309017 | − | 0.951057i | −0.0114451 | − | 0.0352243i | ||||
\(730\) | −9.61287 | − | 10.6762i | −0.355788 | − | 0.395143i | ||||
\(731\) | −19.0445 | − | 2.00166i | −0.704385 | − | 0.0740339i | ||||
\(732\) | 6.81886 | + | 0.716691i | 0.252032 | + | 0.0264896i | ||||
\(733\) | −1.93185 | − | 2.14553i | −0.0713544 | − | 0.0792471i | 0.706411 | − | 0.707802i | \(-0.250313\pi\) |
−0.777765 | + | 0.628555i | \(0.783647\pi\) | |||||||
\(734\) | 0.314457 | + | 0.967800i | 0.0116068 | + | 0.0357222i | ||||
\(735\) | 21.5223 | + | 7.82429i | 0.793863 | + | 0.288603i | ||||
\(736\) | − | 5.46594i | − | 0.201477i | ||||||
\(737\) | 32.1556 | − | 24.1896i | 1.18447 | − | 0.891034i | ||||
\(738\) | 2.24319 | − | 1.29510i | 0.0825728 | − | 0.0476734i | ||||
\(739\) | 12.4390 | − | 27.9385i | 0.457577 | − | 1.02773i | −0.526530 | − | 0.850156i | \(-0.676507\pi\) |
0.984107 | − | 0.177578i | \(-0.0568261\pi\) | |||||||
\(740\) | −6.92944 | + | 32.6004i | −0.254731 | + | 1.19842i | ||||
\(741\) | 13.7426 | + | 4.46523i | 0.504846 | + | 0.164034i | ||||
\(742\) | −30.5928 | + | 14.9282i | −1.12310 | + | 0.548033i | ||||
\(743\) | −16.2631 | + | 22.3843i | −0.596636 | + | 0.821199i | −0.995395 | − | 0.0958566i | \(-0.969441\pi\) |
0.398759 | + | 0.917056i | \(0.369441\pi\) | |||||||
\(744\) | −3.60984 | + | 3.25031i | −0.132343 | + | 0.119162i | ||||
\(745\) | −5.01613 | + | 5.57098i | −0.183777 | + | 0.204105i | ||||
\(746\) | −14.1724 | − | 6.30994i | −0.518887 | − | 0.231023i | ||||
\(747\) | 3.57866 | − | 6.19842i | 0.130936 | − | 0.226788i | ||||
\(748\) | −5.88000 | + | 1.35242i | −0.214994 | + | 0.0494492i | ||||
\(749\) | 15.5108 | + | 24.8120i | 0.566752 | + | 0.906612i | ||||
\(750\) | −1.35115 | − | 1.85970i | −0.0493370 | − | 0.0679066i | ||||
\(751\) | −10.0972 | − | 2.14623i | −0.368453 | − | 0.0783171i | 0.0199643 | − | 0.999801i | \(-0.493645\pi\) |
−0.388417 | + | 0.921484i | \(0.626978\pi\) | |||||||
\(752\) | −0.106401 | − | 0.500577i | −0.00388005 | − | 0.0182542i | ||||
\(753\) | 2.26807 | − | 21.5793i | 0.0826532 | − | 0.786392i | ||||
\(754\) | 4.56556 | − | 2.03272i | 0.166268 | − | 0.0740272i | ||||
\(755\) | −7.12317 | + | 21.9228i | −0.259239 | + | 0.797854i | ||||
\(756\) | 0.905369 | + | 2.48602i | 0.0329280 | + | 0.0904158i | ||||
\(757\) | 19.2734 | − | 14.0029i | 0.700503 | − | 0.508945i | −0.179593 | − | 0.983741i | \(-0.557478\pi\) |
0.880096 | + | 0.474796i | \(0.157478\pi\) | |||||||
\(758\) | 19.3447 | + | 11.1687i | 0.702630 | + | 0.405664i | ||||
\(759\) | −7.64792 | − | 16.4363i | −0.277602 | − | 0.596599i | ||||
\(760\) | −3.51025 | − | 6.07993i | −0.127330 | − | 0.220542i | ||||
\(761\) | 3.59414 | + | 34.1960i | 0.130288 | + | 1.23960i | 0.842910 | + | 0.538055i | \(0.180841\pi\) |
−0.712622 | + | 0.701548i | \(0.752493\pi\) | |||||||
\(762\) | 12.5269 | − | 4.07022i | 0.453800 | − | 0.147449i | ||||
\(763\) | −4.78103 | + | 16.6853i | −0.173085 | + | 0.604048i | ||||
\(764\) | −4.59428 | − | 3.33794i | −0.166215 | − | 0.120762i | ||||
\(765\) | 2.42066 | + | 5.43689i | 0.0875191 | + | 0.196571i | ||||
\(766\) | −20.6555 | + | 4.39045i | −0.746312 | + | 0.158633i | ||||
\(767\) | 11.0559 | + | 9.95477i | 0.399205 | + | 0.359446i | ||||
\(768\) | 0.994522 | − | 0.104528i | 0.0358867 | − | 0.00377185i | ||||
\(769\) | 0.157276 | 0.00567150 | 0.00283575 | − | 0.999996i | \(-0.499097\pi\) | ||||
0.00283575 | + | 0.999996i | \(0.499097\pi\) | |||||||
\(770\) | 4.50875 | − | 28.3509i | 0.162484 | − | 1.02170i | ||||
\(771\) | −0.325341 | −0.0117169 | ||||||||
\(772\) | −3.45074 | + | 0.362687i | −0.124195 | + | 0.0130534i | ||||
\(773\) | 19.9891 | + | 17.9983i | 0.718959 | + | 0.647354i | 0.945115 | − | 0.326738i | \(-0.105949\pi\) |
−0.226156 | + | 0.974091i | \(0.572616\pi\) | |||||||
\(774\) | 10.2964 | − | 2.18856i | 0.370096 | − | 0.0786663i | ||||
\(775\) | −11.2669 | − | 25.3058i | −0.404719 | − | 0.909013i | ||||
\(776\) | −6.01805 | − | 4.37237i | −0.216035 | − | 0.156959i | ||||
\(777\) | 18.7274 | + | 19.3855i | 0.671843 | + | 0.695451i | ||||
\(778\) | 35.5099 | − | 11.5379i | 1.27309 | − | 0.413653i | ||||
\(779\) | 0.581021 | + | 5.52804i | 0.0208172 | + | 0.198063i | ||||
\(780\) | −11.0142 | − | 19.0772i | −0.394373 | − | 0.683074i | ||||
\(781\) | 6.35697 | − | 11.4461i | 0.227470 | − | 0.409573i | ||||
\(782\) | −8.61133 | − | 4.97175i | −0.307940 | − | 0.177790i | ||||
\(783\) | 0.600457 | − | 0.436258i | 0.0214586 | − | 0.0155906i | ||||
\(784\) | −2.62470 | − | 6.48930i | −0.0937391 | − | 0.231761i | ||||
\(785\) | −8.33986 | + | 25.6674i | −0.297662 | + | 0.916110i | ||||
\(786\) | 14.1583 | − | 6.30369i | 0.505011 | − | 0.224845i | ||||
\(787\) | 1.45461 | − | 13.8396i | 0.0518511 | − | 0.493330i | −0.937521 | − | 0.347927i | \(-0.886886\pi\) |
0.989373 | − | 0.145403i | \(-0.0464478\pi\) | |||||||
\(788\) | 0.799575 | + | 3.76170i | 0.0284837 | + | 0.134005i | ||||
\(789\) | 5.12965 | + | 1.09034i | 0.182620 | + | 0.0388171i | ||||
\(790\) | −26.2473 | − | 36.1264i | −0.933838 | − | 1.28532i | ||||
\(791\) | −37.6470 | − | 20.0082i | −1.33857 | − | 0.711408i | ||||
\(792\) | 2.84431 | − | 1.70585i | 0.101068 | − | 0.0606148i | ||||
\(793\) | −23.0837 | + | 39.9822i | −0.819727 | + | 1.41981i | ||||
\(794\) | 6.10482 | + | 2.71804i | 0.216652 | + | 0.0964596i | ||||
\(795\) | 28.1648 | − | 31.2801i | 0.998901 | − | 1.10939i | ||||
\(796\) | −10.4808 | + | 9.43697i | −0.371483 | + | 0.334484i | ||||
\(797\) | 10.6263 | − | 14.6258i | 0.376402 | − | 0.518073i | −0.578225 | − | 0.815877i | \(-0.696254\pi\) |
0.954627 | + | 0.297804i | \(0.0962544\pi\) | |||||||
\(798\) | −5.66393 | − | 0.394987i | −0.200501 | − | 0.0139824i | ||||
\(799\) | −0.885417 | − | 0.287689i | −0.0313238 | − | 0.0101777i | ||||
\(800\) | −1.18565 | + | 5.57803i | −0.0419190 | + | 0.197213i | ||||
\(801\) | −4.89466 | + | 10.9936i | −0.172944 | + | 0.388439i | ||||
\(802\) | −8.88223 | + | 5.12816i | −0.313642 | + | 0.181082i | ||||
\(803\) | 4.73039 | + | 13.7748i | 0.166932 | + | 0.486103i | ||||
\(804\) | 12.1323i | 0.427873i | ||||||||
\(805\) | 37.2759 | − | 29.1344i | 1.31380 | − | 1.02685i | ||||
\(806\) | −10.1073 | − | 31.1071i | −0.356015 | − | 1.09570i | ||||
\(807\) | 2.10865 | + | 2.34190i | 0.0742281 | + | 0.0824387i | ||||
\(808\) | 3.59828 | + | 0.378195i | 0.126587 | + | 0.0133048i | ||||
\(809\) | −31.4275 | − | 3.30316i | −1.10493 | − | 0.116133i | −0.465549 | − | 0.885022i | \(-0.654143\pi\) |
−0.639382 | + | 0.768889i | \(0.720810\pi\) | |||||||
\(810\) | −2.18905 | − | 2.43119i | −0.0769155 | − | 0.0854234i | ||||
\(811\) | −11.1449 | − | 34.3006i | −0.391351 | − | 1.20446i | −0.931767 | − | 0.363057i | \(-0.881733\pi\) |
0.540415 | − | 0.841398i | \(-0.318267\pi\) | |||||||
\(812\) | −1.54718 | + | 1.20926i | −0.0542955 | + | 0.0424368i | ||||
\(813\) | − | 19.3021i | − | 0.676954i | ||||||
\(814\) | 19.4031 | − | 27.6620i | 0.680077 | − | 0.969554i | ||||
\(815\) | −61.2541 | + | 35.3651i | −2.14564 | + | 1.23878i | ||||
\(816\) | 0.739925 | − | 1.66190i | 0.0259026 | − | 0.0581781i | ||||
\(817\) | −4.69658 | + | 22.0957i | −0.164312 | + | 0.773029i | ||||
\(818\) | −29.8348 | − | 9.69392i | −1.04315 | − | 0.338940i | ||||
\(819\) | −17.7719 | − | 1.23936i | −0.621001 | − | 0.0433069i | ||||
\(820\) | 4.98080 | − | 6.85548i | 0.173937 | − | 0.239404i | ||||
\(821\) | −6.41951 | + | 5.78015i | −0.224042 | + | 0.201729i | −0.773506 | − | 0.633789i | \(-0.781499\pi\) |
0.549464 | + | 0.835518i | \(0.314832\pi\) | |||||||
\(822\) | −0.0844445 | + | 0.0937851i | −0.00294534 | + | 0.00327113i | ||||
\(823\) | 7.62538 | + | 3.39504i | 0.265804 | + | 0.118344i | 0.535312 | − | 0.844655i | \(-0.320194\pi\) |
−0.269507 | + | 0.962998i | \(0.586861\pi\) | |||||||
\(824\) | −4.16970 | + | 7.22213i | −0.145258 | + | 0.251595i | ||||
\(825\) | 4.23948 | + | 18.4323i | 0.147600 | + | 0.641730i | ||||
\(826\) | −5.16189 | − | 2.74338i | −0.179605 | − | 0.0954543i | ||||
\(827\) | −21.3013 | − | 29.3188i | −0.740720 | − | 1.01951i | −0.998577 | − | 0.0533304i | \(-0.983016\pi\) |
0.257857 | − | 0.966183i | \(-0.416984\pi\) | |||||||
\(828\) | 5.34650 | + | 1.13643i | 0.185804 | + | 0.0394938i | ||||
\(829\) | −9.05689 | − | 42.6093i | −0.314559 | − | 1.47988i | −0.797013 | − | 0.603962i | \(-0.793588\pi\) |
0.482454 | − | 0.875921i | \(-0.339745\pi\) | |||||||
\(830\) | 2.44755 | − | 23.2868i | 0.0849555 | − | 0.808298i | ||||
\(831\) | −25.4367 | + | 11.3252i | −0.882391 | + | 0.392866i | ||||
\(832\) | −2.08076 | + | 6.40391i | −0.0721373 | + | 0.222016i | ||||
\(833\) | −12.6110 | − | 1.76750i | −0.436944 | − | 0.0612403i | ||||
\(834\) | −3.45925 | + | 2.51329i | −0.119784 | + | 0.0870282i | ||||
\(835\) | 26.8976 | + | 15.5293i | 0.930830 | + | 0.537415i | ||||
\(836\) | 0.861582 | + | 7.06502i | 0.0297984 | + | 0.244349i | ||||
\(837\) | −2.42876 | − | 4.20673i | −0.0839501 | − | 0.145406i | ||||
\(838\) | 0.154553 | + | 1.47048i | 0.00533895 | + | 0.0507967i | ||||
\(839\) | 16.7253 | − | 5.43438i | 0.577421 | − | 0.187616i | −0.00572363 | − | 0.999984i | \(-0.501822\pi\) |
0.583145 | + | 0.812368i | \(0.301822\pi\) | |||||||
\(840\) | 6.01383 | + | 6.22515i | 0.207497 | + | 0.214788i | ||||
\(841\) | −23.0158 | − | 16.7220i | −0.793649 | − | 0.576620i | ||||
\(842\) | −7.70289 | − | 17.3010i | −0.265459 | − | 0.596231i | ||||
\(843\) | −28.2827 | + | 6.01168i | −0.974109 | + | 0.207053i | ||||
\(844\) | 20.7020 | + | 18.6402i | 0.712593 | + | 0.641622i | ||||
\(845\) | 105.219 | − | 11.0590i | 3.61965 | − | 0.380441i | ||||
\(846\) | 0.511761 | 0.0175947 | ||||||||
\(847\) | −15.4583 | + | 24.6585i | −0.531153 | + | 0.847276i | ||||
\(848\) | −12.8662 | −0.441826 | ||||||||
\(849\) | −6.75449 | + | 0.709926i | −0.231814 | + | 0.0243646i | ||||
\(850\) | 7.70948 | + | 6.94164i | 0.264433 | + | 0.238096i | ||||
\(851\) | 54.4681 | − | 11.5776i | 1.86714 | − | 0.396874i | ||||
\(852\) | 1.60566 | + | 3.60637i | 0.0550089 | + | 0.123552i | ||||
\(853\) | −20.6014 | − | 14.9678i | −0.705378 | − | 0.512487i | 0.176301 | − | 0.984336i | \(-0.443587\pi\) |
−0.881679 | + | 0.471849i | \(0.843587\pi\) | |||||||
\(854\) | 4.99687 | − | 17.4386i | 0.170989 | − | 0.596736i | ||||
\(855\) | 6.67689 | − | 2.16945i | 0.228345 | − | 0.0741938i | ||||
\(856\) | 1.15606 | + | 10.9991i | 0.0395132 | + | 0.375943i | ||||
\(857\) | 7.86198 | + | 13.6174i | 0.268560 | + | 0.465160i | 0.968490 | − | 0.249051i | \(-0.0801188\pi\) |
−0.699930 | + | 0.714211i | \(0.746785\pi\) | |||||||
\(858\) | 2.70342 | + | 22.1682i | 0.0922932 | + | 0.756809i | ||||
\(859\) | 38.9397 | + | 22.4818i | 1.32860 | + | 0.767070i | 0.985084 | − | 0.172075i | \(-0.0550472\pi\) |
0.343521 | + | 0.939145i | \(0.388381\pi\) | |||||||
\(860\) | 27.8601 | − | 20.2416i | 0.950023 | − | 0.690232i | ||||
\(861\) | −2.34510 | − | 6.43932i | −0.0799206 | − | 0.219451i | ||||
\(862\) | 5.09480 | − | 15.6802i | 0.173530 | − | 0.534070i | ||||
\(863\) | 44.0000 | − | 19.5901i | 1.49778 | − | 0.666853i | 0.515948 | − | 0.856620i | \(-0.327440\pi\) |
0.981829 | + | 0.189767i | \(0.0607731\pi\) | |||||||
\(864\) | −0.104528 | + | 0.994522i | −0.00355613 | + | 0.0338343i | ||||
\(865\) | 5.25959 | + | 24.7444i | 0.178832 | + | 0.841336i | ||||
\(866\) | −31.7669 | − | 6.75225i | −1.07948 | − | 0.229451i | ||||
\(867\) | 8.04713 | + | 11.0759i | 0.273295 | + | 0.376158i | ||||
\(868\) | 6.81246 | + | 10.8976i | 0.231230 | + | 0.369890i | ||||
\(869\) | 10.1474 | + | 44.1188i | 0.344228 | + | 1.49663i | ||||
\(870\) | 1.21406 | − | 2.10281i | 0.0411605 | − | 0.0712921i | ||||
\(871\) | −74.6297 | − | 33.2273i | −2.52873 | − | 1.12586i | ||||
\(872\) | −4.38966 | + | 4.87521i | −0.148653 | + | 0.165095i | ||||
\(873\) | 5.52804 | − | 4.97747i | 0.187096 | − | 0.168462i | ||||
\(874\) | −6.89455 | + | 9.48954i | −0.233212 | + | 0.320988i | ||||
\(875\) | −5.46580 | + | 2.66713i | −0.184778 | + | 0.0901654i | ||||
\(876\) | −4.17641 | − | 1.35700i | −0.141108 | − | 0.0458487i | ||||
\(877\) | −4.49910 | + | 21.1666i | −0.151924 | + | 0.714745i | 0.834564 | + | 0.550911i | \(0.185720\pi\) |
−0.986488 | + | 0.163834i | \(0.947614\pi\) | |||||||
\(878\) | 2.27428 | − | 5.10813i | 0.0767534 | − | 0.172391i | ||||
\(879\) | −15.6003 | + | 9.00685i | −0.526186 | + | 0.303794i | ||||
\(880\) | 6.23078 | − | 8.88293i | 0.210040 | − | 0.299444i | ||||
\(881\) | 48.5490i | 1.63566i | 0.575462 | + | 0.817828i | \(0.304822\pi\) | ||||
−0.575462 | + | 0.817828i | \(0.695178\pi\) | |||||||
\(882\) | 6.89320 | − | 1.21814i | 0.232106 | − | 0.0410169i | ||||
\(883\) | −6.93530 | − | 21.3447i | −0.233392 | − | 0.718305i | −0.997331 | − | 0.0730171i | \(-0.976737\pi\) |
0.763939 | − | 0.645288i | \(-0.223263\pi\) | |||||||
\(884\) | 8.19643 | + | 9.10305i | 0.275676 | + | 0.306169i | ||||
\(885\) | 7.18856 | + | 0.755548i | 0.241641 | + | 0.0253975i | ||||
\(886\) | −10.9107 | − | 1.14677i | −0.366554 | − | 0.0385263i | ||||
\(887\) | −33.2631 | − | 36.9424i | −1.11686 | − | 1.24040i | −0.967839 | − | 0.251570i | \(-0.919053\pi\) |
−0.149025 | − | 0.988833i | \(-0.547613\pi\) | |||||||
\(888\) | 3.14815 | + | 9.68902i | 0.105645 | + | 0.325142i | ||||
\(889\) | −4.85649 | − | 34.5085i | −0.162882 | − | 1.15738i | ||||
\(890\) | 39.3691i | 1.31965i | ||||||||
\(891\) | 1.07721 | + | 3.13682i | 0.0360879 | + | 0.105087i | ||||
\(892\) | 14.1216 | − | 8.15313i | 0.472827 | − | 0.272987i | ||||
\(893\) | −0.446686 | + | 1.00327i | −0.0149478 | + | 0.0335733i | ||||
\(894\) | −0.476421 | + | 2.24139i | −0.0159339 | + | 0.0749632i | ||||
\(895\) | −28.7546 | − | 9.34295i | −0.961162 | − | 0.312300i | ||||
\(896\) | 0.184060 | − | 2.63934i | 0.00614902 | − | 0.0881742i | ||||
\(897\) | −21.6333 | + | 29.7757i | −0.722314 | + | 0.994181i | ||||
\(898\) | −5.29855 | + | 4.77083i | −0.176815 | + | 0.159205i | ||||
\(899\) | 2.41240 | − | 2.67924i | 0.0804581 | − | 0.0893577i | ||||
\(900\) | −5.20963 | − | 2.31948i | −0.173654 | − | 0.0773159i | ||||
\(901\) | −11.7029 | + | 20.2701i | −0.389881 | + | 0.675293i | ||||
\(902\) | −7.36734 | + | 4.41851i | −0.245306 | + | 0.147120i | ||||
\(903\) | −0.977212 | − | 27.8331i | −0.0325196 | − | 0.926228i | ||||
\(904\) | −9.47156 | − | 13.0365i | −0.315020 | − | 0.433587i | ||||
\(905\) | −40.8327 | − | 8.67925i | −1.35732 | − | 0.288508i | ||||
\(906\) | 1.46495 | + | 6.89207i | 0.0486698 | + | 0.228974i | ||||
\(907\) | −3.00367 | + | 28.5780i | −0.0997352 | + | 0.948917i | 0.824182 | + | 0.566325i | \(0.191635\pi\) |
−0.923917 | + | 0.382592i | \(0.875031\pi\) | |||||||
\(908\) | −7.11904 | + | 3.16960i | −0.236254 | + | 0.105187i | ||||
\(909\) | −1.11806 | + | 3.44102i | −0.0370836 | + | 0.114131i | ||||
\(910\) | −54.7633 | + | 19.9439i | −1.81539 | + | 0.661134i | ||||
\(911\) | 35.1754 | − | 25.5565i | 1.16541 | − | 0.846723i | 0.174961 | − | 0.984575i | \(-0.444020\pi\) |
0.990453 | + | 0.137852i | \(0.0440199\pi\) | |||||||
\(912\) | −1.85846 | − | 1.07298i | −0.0615397 | − | 0.0355300i | ||||
\(913\) | −11.5255 | + | 20.7524i | −0.381440 | + | 0.686804i | ||||
\(914\) | −0.252587 | − | 0.437493i | −0.00835483 | − | 0.0144710i | ||||
\(915\) | 2.34465 | + | 22.3078i | 0.0775116 | + | 0.737474i | ||||
\(916\) | −5.09446 | + | 1.65529i | −0.168326 | + | 0.0546923i | ||||
\(917\) | −9.92737 | − | 39.7845i | −0.327831 | − | 1.31380i | ||||
\(918\) | 1.47174 | + | 1.06928i | 0.0485748 | + | 0.0352917i | ||||
\(919\) | 5.80652 | + | 13.0416i | 0.191539 | + | 0.430204i | 0.983630 | − | 0.180199i | \(-0.0576741\pi\) |
−0.792091 | + | 0.610403i | \(0.791007\pi\) | |||||||
\(920\) | 17.4910 | − | 3.71783i | 0.576662 | − | 0.122573i | ||||
\(921\) | 6.05731 | + | 5.45402i | 0.199595 | + | 0.179716i | ||||
\(922\) | 27.5212 | − | 2.89260i | 0.906363 | − | 0.0952626i | ||||
\(923\) | −26.5814 | −0.874939 | ||||||||
\(924\) | −3.13948 | − | 8.19412i | −0.103281 | − | 0.269567i | ||||
\(925\) | −58.0965 | −1.91020 | ||||||||
\(926\) | −16.3857 | + | 1.72221i | −0.538468 | + | 0.0565953i | ||||
\(927\) | −6.19738 | − | 5.58014i | −0.203549 | − | 0.183276i | ||||
\(928\) | −0.725987 | + | 0.154313i | −0.0238317 | + | 0.00506558i | ||||
\(929\) | −7.23911 | − | 16.2593i | −0.237508 | − | 0.533451i | 0.754987 | − | 0.655740i | \(-0.227643\pi\) |
−0.992495 | + | 0.122289i | \(0.960977\pi\) | |||||||
\(930\) | −12.8563 | − | 9.34068i | −0.421576 | − | 0.306293i | ||||
\(931\) | −3.62859 | + | 14.5769i | −0.118922 | + | 0.477739i | ||||
\(932\) | 12.4442 | − | 4.04336i | 0.407623 | − | 0.132445i | ||||
\(933\) | 3.49288 | + | 33.2325i | 0.114352 | + | 1.08798i | ||||
\(934\) | −17.4831 | − | 30.2816i | −0.572063 | − | 0.990843i | ||||
\(935\) | −8.32719 | − | 17.8961i | −0.272328 | − | 0.585265i | ||||
\(936\) | −5.83136 | − | 3.36674i | −0.190604 | − | 0.110045i | ||||
\(937\) | 23.9160 | − | 17.3760i | 0.781301 | − | 0.567648i | −0.124068 | − | 0.992274i | \(-0.539594\pi\) |
0.905369 | + | 0.424625i | \(0.139594\pi\) | |||||||
\(938\) | 31.6124 | + | 5.56797i | 1.03218 | + | 0.181801i | ||||
\(939\) | −1.18058 | + | 3.63344i | −0.0385266 | + | 0.118573i | ||||
\(940\) | 1.52948 | − | 0.680967i | 0.0498860 | − | 0.0222107i | ||||
\(941\) | 0.105325 | − | 1.00210i | 0.00343351 | − | 0.0326677i | −0.992671 | − | 0.120848i | \(-0.961439\pi\) |
0.996105 | + | 0.0881805i | \(0.0281052\pi\) | |||||||
\(942\) | 1.71518 | + | 8.06928i | 0.0558836 | + | 0.262911i | ||||
\(943\) | −13.8485 | − | 2.94360i | −0.450971 | − | 0.0958568i | ||||
\(944\) | −1.29867 | − | 1.78747i | −0.0422683 | − | 0.0581773i | ||||
\(945\) | −7.33946 | + | 4.58813i | −0.238753 | + | 0.149252i | ||||
\(946\) | −34.0238 | + | 7.82556i | −1.10621 | + | 0.254431i | ||||
\(947\) | 12.1927 | − | 21.1184i | 0.396210 | − | 0.686256i | −0.597045 | − | 0.802208i | \(-0.703658\pi\) |
0.993255 | + | 0.115952i | \(0.0369918\pi\) | |||||||
\(948\) | −12.4696 | − | 5.55181i | −0.404992 | − | 0.180314i | ||||
\(949\) | 19.7855 | − | 21.9740i | 0.642264 | − | 0.713306i | ||||
\(950\) | 9.09437 | − | 8.18861i | 0.295060 | − | 0.265674i | ||||
\(951\) | 3.25742 | − | 4.48345i | 0.105629 | − | 0.145386i | ||||
\(952\) | −3.99074 | − | 2.69069i | −0.129341 | − | 0.0872058i | ||||
\(953\) | −46.7733 | − | 15.1976i | −1.51514 | − | 0.492297i | −0.570746 | − | 0.821127i | \(-0.693346\pi\) |
−0.944389 | + | 0.328830i | \(0.893346\pi\) | |||||||
\(954\) | 2.67503 | − | 12.5850i | 0.0866073 | − | 0.407455i | ||||
\(955\) | 7.55646 | − | 16.9721i | 0.244521 | − | 0.549204i | ||||
\(956\) | 17.8746 | − | 10.3199i | 0.578105 | − | 0.333769i | ||||
\(957\) | −1.96715 | + | 1.47982i | −0.0635890 | + | 0.0478359i | ||||
\(958\) | − | 16.5066i | − | 0.533303i | ||||||
\(959\) | 0.205616 | + | 0.263074i | 0.00663968 | + | 0.00849509i | ||||
\(960\) | 1.01095 | + | 3.11137i | 0.0326281 | + | 0.100419i | ||||
\(961\) | 4.95463 | + | 5.50267i | 0.159827 | + | 0.177505i | ||||
\(962\) | −68.2223 | − | 7.17046i | −2.19958 | − | 0.231185i | ||||
\(963\) | −10.9991 | − | 1.15606i | −0.354442 | − | 0.0372534i | ||||
\(964\) | 11.1001 | + | 12.3279i | 0.357509 | + | 0.397054i | ||||
\(965\) | −3.50773 | − | 10.7957i | −0.112918 | − | 0.347525i | ||||
\(966\) | 5.41485 | − | 13.4095i | 0.174220 | − | 0.431444i | ||||
\(967\) | 30.8429i | 0.991841i | 0.868368 | + | 0.495921i | \(0.165169\pi\) | ||||
−0.868368 | + | 0.495921i | \(0.834831\pi\) | |||||||
\(968\) | −9.33810 | + | 5.81377i | −0.300138 | + | 0.186862i | ||||
\(969\) | −3.38086 | + | 1.95194i | −0.108609 | + | 0.0627054i | ||||
\(970\) | 9.89821 | − | 22.2318i | 0.317813 | − | 0.713819i | ||||
\(971\) | −8.04368 | + | 37.8425i | −0.258134 | + | 1.21442i | 0.637787 | + | 0.770212i | \(0.279850\pi\) |
−0.895921 | + | 0.444213i | \(0.853484\pi\) | |||||||
\(972\) | −0.951057 | − | 0.309017i | −0.0305052 | − | 0.00991172i | ||||
\(973\) | 4.96116 | + | 10.1670i | 0.159048 | + | 0.325940i | ||||
\(974\) | 14.9702 | − | 20.6047i | 0.479676 | − | 0.660218i | ||||
\(975\) | 28.5357 | − | 25.6937i | 0.913875 | − | 0.822857i | ||||
\(976\) | 4.58784 | − | 5.09531i | 0.146853 | − | 0.163097i | ||||
\(977\) | −19.5780 | − | 8.71670i | −0.626356 | − | 0.278872i | 0.0689113 | − | 0.997623i | \(-0.478047\pi\) |
−0.695268 | + | 0.718751i | \(0.744714\pi\) | |||||||
\(978\) | −10.8101 | + | 18.7236i | −0.345668 | + | 0.598715i | ||||
\(979\) | 15.6251 | − | 36.7266i | 0.499381 | − | 1.17379i | ||||
\(980\) | 18.9805 | − | 12.8129i | 0.606309 | − | 0.409294i | ||||
\(981\) | −3.85601 | − | 5.30735i | −0.123113 | − | 0.169451i | ||||
\(982\) | 23.2113 | + | 4.93371i | 0.740702 | + | 0.157441i | ||||
\(983\) | −7.57097 | − | 35.6186i | −0.241477 | − | 1.13606i | −0.917052 | − | 0.398767i | \(-0.869438\pi\) |
0.675576 | − | 0.737291i | \(-0.263895\pi\) | |||||||
\(984\) | 0.270751 | − | 2.57602i | 0.00863121 | − | 0.0821205i | ||||
\(985\) | −11.4936 | + | 5.11728i | −0.366216 | + | 0.163050i | ||||
\(986\) | −0.417236 | + | 1.28412i | −0.0132875 | + | 0.0408947i | ||||
\(987\) | 0.234867 | − | 1.33347i | 0.00747588 | − | 0.0424447i | ||||
\(988\) | 11.6901 | − | 8.49337i | 0.371912 | − | 0.270210i | ||||
\(989\) | −49.8282 | − | 28.7684i | −1.58445 | − | 0.914780i | ||||
\(990\) | 7.39337 | + | 7.94149i | 0.234977 | + | 0.252397i | ||||
\(991\) | −7.31050 | − | 12.6622i | −0.232226 | − | 0.402227i | 0.726237 | − | 0.687444i | \(-0.241267\pi\) |
−0.958463 | + | 0.285218i | \(0.907934\pi\) | |||||||
\(992\) | 0.507748 | + | 4.83090i | 0.0161210 | + | 0.153381i | ||||
\(993\) | 0.430008 | − | 0.139718i | 0.0136459 | − | 0.00443382i | ||||
\(994\) | 10.1338 | − | 2.52867i | 0.321425 | − | 0.0802046i | ||||
\(995\) | −37.3272 | − | 27.1198i | −1.18335 | − | 0.859754i | ||||
\(996\) | −2.91114 | − | 6.53854i | −0.0922432 | − | 0.207182i | ||||
\(997\) | −18.8727 | + | 4.01153i | −0.597706 | + | 0.127046i | −0.496823 | − | 0.867852i | \(-0.665500\pi\) |
−0.100883 | + | 0.994898i | \(0.532167\pi\) | |||||||
\(998\) | −6.81224 | − | 6.13376i | −0.215638 | − | 0.194161i | ||||
\(999\) | −10.1318 | + | 1.06490i | −0.320557 | + | 0.0336919i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 462.2.ba.b.19.8 | yes | 64 | |
7.3 | odd | 6 | 462.2.ba.a.283.4 | yes | 64 | ||
11.7 | odd | 10 | 462.2.ba.a.271.4 | ✓ | 64 | ||
77.73 | even | 30 | inner | 462.2.ba.b.73.8 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.ba.a.271.4 | ✓ | 64 | 11.7 | odd | 10 | ||
462.2.ba.a.283.4 | yes | 64 | 7.3 | odd | 6 | ||
462.2.ba.b.19.8 | yes | 64 | 1.1 | even | 1 | trivial | |
462.2.ba.b.73.8 | yes | 64 | 77.73 | even | 30 | inner |