Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [80,2,Mod(3,80)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(80, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("80.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 80 = 2^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 80.s (of order \(4\), degree \(2\), 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: | \(0.638803216170\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(9\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 2 x^{16} - 4 x^{15} - 5 x^{14} - 14 x^{13} - 10 x^{12} + 6 x^{11} + 37 x^{10} + 70 x^{9} + \cdots + 512 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{6} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 3.4 | ||
Root | \(1.41323 - 0.0526497i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 80.3 |
Dual form | 80.2.s.b.27.4 |
$q$-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 \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(21\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.516777 | + | 1.31641i | −0.365417 | + | 0.930844i | ||||
\(3\) | 1.28110 | 0.739642 | 0.369821 | − | 0.929103i | \(-0.379419\pi\) | ||||
0.369821 | + | 0.929103i | \(0.379419\pi\) | |||||||
\(4\) | −1.46588 | − | 1.36058i | −0.732941 | − | 0.680292i | ||||
\(5\) | 2.07160 | + | 0.841703i | 0.926449 | + | 0.376421i | ||||
\(6\) | −0.662041 | + | 1.68645i | −0.270277 | + | 0.688491i | ||||
\(7\) | −1.13975 | + | 1.13975i | −0.430785 | + | 0.430785i | −0.888895 | − | 0.458111i | \(-0.848526\pi\) |
0.458111 | + | 0.888895i | \(0.348526\pi\) | |||||||
\(8\) | 2.54862 | − | 1.22659i | 0.901074 | − | 0.433664i | ||||
\(9\) | −1.35879 | −0.452930 | ||||||||
\(10\) | −2.17858 | + | 2.29211i | −0.688929 | + | 0.724829i | ||||
\(11\) | −2.32204 | − | 2.32204i | −0.700120 | − | 0.700120i | 0.264316 | − | 0.964436i | \(-0.414854\pi\) |
−0.964436 | + | 0.264316i | \(0.914854\pi\) | |||||||
\(12\) | −1.87794 | − | 1.74304i | −0.542114 | − | 0.503172i | ||||
\(13\) | 1.36502i | 0.378589i | 0.981920 | + | 0.189294i | \(0.0606201\pi\) | ||||
−0.981920 | + | 0.189294i | \(0.939380\pi\) | |||||||
\(14\) | −0.911384 | − | 2.08938i | −0.243578 | − | 0.558409i | ||||
\(15\) | 2.65392 | + | 1.07830i | 0.685240 | + | 0.278416i | ||||
\(16\) | 0.297625 | + | 3.98891i | 0.0744064 | + | 0.997228i | ||||
\(17\) | 5.25380 | − | 5.25380i | 1.27423 | − | 1.27423i | 0.330389 | − | 0.943845i | \(-0.392820\pi\) |
0.943845 | − | 0.330389i | \(-0.107180\pi\) | |||||||
\(18\) | 0.702192 | − | 1.78873i | 0.165508 | − | 0.421608i | ||||
\(19\) | −3.69752 | − | 3.69752i | −0.848269 | − | 0.848269i | 0.141648 | − | 0.989917i | \(-0.454760\pi\) |
−0.989917 | + | 0.141648i | \(0.954760\pi\) | |||||||
\(20\) | −1.89152 | − | 4.05243i | −0.422957 | − | 0.906150i | ||||
\(21\) | −1.46013 | + | 1.46013i | −0.318626 | + | 0.318626i | ||||
\(22\) | 4.25673 | − | 1.85678i | 0.907538 | − | 0.395867i | ||||
\(23\) | −0.911118 | − | 0.911118i | −0.189981 | − | 0.189981i | 0.605707 | − | 0.795688i | \(-0.292890\pi\) |
−0.795688 | + | 0.605707i | \(0.792890\pi\) | |||||||
\(24\) | 3.26503 | − | 1.57138i | 0.666472 | − | 0.320756i | ||||
\(25\) | 3.58307 | + | 3.48735i | 0.716615 | + | 0.697469i | ||||
\(26\) | −1.79693 | − | 0.705412i | −0.352407 | − | 0.138343i | ||||
\(27\) | −5.58403 | −1.07465 | ||||||||
\(28\) | 3.22146 | − | 0.120015i | 0.608799 | − | 0.0226807i | ||||
\(29\) | −2.37343 | + | 2.37343i | −0.440736 | + | 0.440736i | −0.892259 | − | 0.451524i | \(-0.850881\pi\) |
0.451524 | + | 0.892259i | \(0.350881\pi\) | |||||||
\(30\) | −2.79098 | + | 2.93641i | −0.509560 | + | 0.536114i | ||||
\(31\) | − | 0.242577i | − | 0.0435681i | −0.999763 | − | 0.0217841i | \(-0.993065\pi\) | ||
0.999763 | − | 0.0217841i | \(-0.00693463\pi\) | |||||||
\(32\) | −5.40486 | − | 1.66958i | −0.955453 | − | 0.295143i | ||||
\(33\) | −2.97475 | − | 2.97475i | −0.517838 | − | 0.517838i | ||||
\(34\) | 4.20112 | + | 9.63121i | 0.720487 | + | 1.65174i | ||||
\(35\) | −3.32044 | + | 1.40178i | −0.561256 | + | 0.236944i | ||||
\(36\) | 1.99183 | + | 1.84875i | 0.331971 | + | 0.308125i | ||||
\(37\) | 3.34494i | 0.549905i | 0.961458 | + | 0.274953i | \(0.0886621\pi\) | ||||
−0.961458 | + | 0.274953i | \(0.911338\pi\) | |||||||
\(38\) | 6.77825 | − | 2.95666i | 1.09958 | − | 0.479634i | ||||
\(39\) | 1.74872i | 0.280020i | ||||||||
\(40\) | 6.31216 | − | 0.395820i | 0.998040 | − | 0.0625846i | ||||
\(41\) | − | 2.66956i | − | 0.416915i | −0.978031 | − | 0.208457i | \(-0.933156\pi\) | ||
0.978031 | − | 0.208457i | \(-0.0668442\pi\) | |||||||
\(42\) | −1.16757 | − | 2.67669i | −0.180160 | − | 0.413023i | ||||
\(43\) | 9.04874i | 1.37992i | 0.723847 | + | 0.689960i | \(0.242372\pi\) | ||||
−0.723847 | + | 0.689960i | \(0.757628\pi\) | |||||||
\(44\) | 0.244509 | + | 6.56316i | 0.0368611 | + | 0.989433i | ||||
\(45\) | −2.81488 | − | 1.14370i | −0.419617 | − | 0.170492i | ||||
\(46\) | 1.67025 | − | 0.728562i | 0.246265 | − | 0.107421i | ||||
\(47\) | 7.87820 | + | 7.87820i | 1.14915 | + | 1.14915i | 0.986719 | + | 0.162435i | \(0.0519348\pi\) |
0.162435 | + | 0.986719i | \(0.448065\pi\) | |||||||
\(48\) | 0.381287 | + | 5.11018i | 0.0550340 | + | 0.737591i | ||||
\(49\) | 4.40194i | 0.628849i | ||||||||
\(50\) | −6.44244 | + | 2.91462i | −0.911098 | + | 0.412190i | ||||
\(51\) | 6.73063 | − | 6.73063i | 0.942476 | − | 0.942476i | ||||
\(52\) | 1.85723 | − | 2.00096i | 0.257551 | − | 0.277483i | ||||
\(53\) | −5.80113 | −0.796846 | −0.398423 | − | 0.917202i | \(-0.630442\pi\) | ||||
−0.398423 | + | 0.917202i | \(0.630442\pi\) | |||||||
\(54\) | 2.88570 | − | 7.35089i | 0.392694 | − | 1.00033i | ||||
\(55\) | −2.85587 | − | 6.76480i | −0.385086 | − | 0.912165i | ||||
\(56\) | −1.50679 | + | 4.30279i | −0.201353 | + | 0.574985i | ||||
\(57\) | −4.73688 | − | 4.73688i | −0.627415 | − | 0.627415i | ||||
\(58\) | −1.89788 | − | 4.35095i | −0.249204 | − | 0.571308i | ||||
\(59\) | 5.91474 | − | 5.91474i | 0.770033 | − | 0.770033i | −0.208079 | − | 0.978112i | \(-0.566721\pi\) |
0.978112 | + | 0.208079i | \(0.0667210\pi\) | |||||||
\(60\) | −2.42322 | − | 5.19155i | −0.312836 | − | 0.670226i | ||||
\(61\) | −6.67404 | − | 6.67404i | −0.854523 | − | 0.854523i | 0.136163 | − | 0.990686i | \(-0.456523\pi\) |
−0.990686 | + | 0.136163i | \(0.956523\pi\) | |||||||
\(62\) | 0.319332 | + | 0.125358i | 0.0405551 | + | 0.0159205i | ||||
\(63\) | 1.54868 | − | 1.54868i | 0.195116 | − | 0.195116i | ||||
\(64\) | 4.99096 | − | 6.25222i | 0.623870 | − | 0.781528i | ||||
\(65\) | −1.14894 | + | 2.82778i | −0.142509 | + | 0.350743i | ||||
\(66\) | 5.45328 | − | 2.37872i | 0.671253 | − | 0.292800i | ||||
\(67\) | 4.54673i | 0.555471i | 0.960658 | + | 0.277736i | \(0.0895839\pi\) | ||||
−0.960658 | + | 0.277736i | \(0.910416\pi\) | |||||||
\(68\) | −14.8497 | + | 0.553222i | −1.80079 | + | 0.0670881i | ||||
\(69\) | −1.16723 | − | 1.16723i | −0.140518 | − | 0.140518i | ||||
\(70\) | −0.129391 | − | 5.09547i | −0.0154652 | − | 0.609025i | ||||
\(71\) | 15.4389 | 1.83226 | 0.916128 | − | 0.400885i | \(-0.131297\pi\) | ||||
0.916128 | + | 0.400885i | \(0.131297\pi\) | |||||||
\(72\) | −3.46305 | + | 1.66668i | −0.408124 | + | 0.196420i | ||||
\(73\) | −1.49307 | + | 1.49307i | −0.174750 | + | 0.174750i | −0.789063 | − | 0.614313i | \(-0.789433\pi\) |
0.614313 | + | 0.789063i | \(0.289433\pi\) | |||||||
\(74\) | −4.40332 | − | 1.72859i | −0.511876 | − | 0.200944i | ||||
\(75\) | 4.59026 | + | 4.46763i | 0.530038 | + | 0.515877i | ||||
\(76\) | 0.389347 | + | 10.4509i | 0.0446611 | + | 1.19880i | ||||
\(77\) | 5.29308 | 0.603202 | ||||||||
\(78\) | −2.30204 | − | 0.903701i | −0.260655 | − | 0.102324i | ||||
\(79\) | −10.3024 | −1.15911 | −0.579556 | − | 0.814932i | \(-0.696774\pi\) | ||||
−0.579556 | + | 0.814932i | \(0.696774\pi\) | |||||||
\(80\) | −2.74092 | + | 8.51395i | −0.306444 | + | 0.951889i | ||||
\(81\) | −3.07731 | −0.341924 | ||||||||
\(82\) | 3.51424 | + | 1.37957i | 0.388083 | + | 0.152348i | ||||
\(83\) | 3.26589 | 0.358478 | 0.179239 | − | 0.983806i | \(-0.442636\pi\) | ||||
0.179239 | + | 0.983806i | \(0.442636\pi\) | |||||||
\(84\) | 4.12701 | − | 0.153751i | 0.450293 | − | 0.0167756i | ||||
\(85\) | 15.3059 | − | 6.46165i | 1.66016 | − | 0.700864i | ||||
\(86\) | −11.9119 | − | 4.67618i | −1.28449 | − | 0.504246i | ||||
\(87\) | −3.04060 | + | 3.04060i | −0.325986 | + | 0.325986i | ||||
\(88\) | −8.76618 | − | 3.06981i | −0.934477 | − | 0.327243i | ||||
\(89\) | 9.77206 | 1.03584 | 0.517918 | − | 0.855430i | \(-0.326707\pi\) | ||||
0.517918 | + | 0.855430i | \(0.326707\pi\) | |||||||
\(90\) | 2.96024 | − | 3.11450i | 0.312037 | − | 0.328297i | ||||
\(91\) | −1.55578 | − | 1.55578i | −0.163090 | − | 0.163090i | ||||
\(92\) | 0.0959403 | + | 2.57524i | 0.0100025 | + | 0.268488i | ||||
\(93\) | − | 0.310765i | − | 0.0322248i | ||||||
\(94\) | −14.4422 | + | 6.29969i | −1.48960 | + | 0.649763i | ||||
\(95\) | −4.54758 | − | 10.7720i | −0.466571 | − | 1.10518i | ||||
\(96\) | −6.92415 | − | 2.13889i | −0.706693 | − | 0.218300i | ||||
\(97\) | −1.63587 | + | 1.63587i | −0.166097 | + | 0.166097i | −0.785262 | − | 0.619164i | \(-0.787472\pi\) |
0.619164 | + | 0.785262i | \(0.287472\pi\) | |||||||
\(98\) | −5.79477 | − | 2.27482i | −0.585360 | − | 0.229792i | ||||
\(99\) | 3.15516 | + | 3.15516i | 0.317106 | + | 0.317106i | ||||
\(100\) | −0.507540 | − | 9.98711i | −0.0507540 | − | 0.998711i | ||||
\(101\) | −6.63953 | + | 6.63953i | −0.660658 | + | 0.660658i | −0.955535 | − | 0.294877i | \(-0.904721\pi\) |
0.294877 | + | 0.955535i | \(0.404721\pi\) | |||||||
\(102\) | 5.38205 | + | 12.3385i | 0.532902 | + | 1.22170i | ||||
\(103\) | 1.62219 | + | 1.62219i | 0.159839 | + | 0.159839i | 0.782496 | − | 0.622656i | \(-0.213946\pi\) |
−0.622656 | + | 0.782496i | \(0.713946\pi\) | |||||||
\(104\) | 1.67432 | + | 3.47893i | 0.164180 | + | 0.341137i | ||||
\(105\) | −4.25380 | + | 1.79581i | −0.415129 | + | 0.175253i | ||||
\(106\) | 2.99789 | − | 7.63667i | 0.291181 | − | 0.741739i | ||||
\(107\) | 3.65206 | 0.353058 | 0.176529 | − | 0.984295i | \(-0.443513\pi\) | ||||
0.176529 | + | 0.984295i | \(0.443513\pi\) | |||||||
\(108\) | 8.18554 | + | 7.59754i | 0.787654 | + | 0.731074i | ||||
\(109\) | 5.20757 | − | 5.20757i | 0.498795 | − | 0.498795i | −0.412268 | − | 0.911063i | \(-0.635263\pi\) |
0.911063 | + | 0.412268i | \(0.135263\pi\) | |||||||
\(110\) | 10.3811 | − | 0.263611i | 0.989800 | − | 0.0251344i | ||||
\(111\) | 4.28519i | 0.406733i | ||||||||
\(112\) | −4.88558 | − | 4.20714i | −0.461644 | − | 0.397537i | ||||
\(113\) | −4.27905 | − | 4.27905i | −0.402539 | − | 0.402539i | 0.476588 | − | 0.879127i | \(-0.341873\pi\) |
−0.879127 | + | 0.476588i | \(0.841873\pi\) | |||||||
\(114\) | 8.68359 | − | 3.78777i | 0.813293 | − | 0.354757i | ||||
\(115\) | −1.12058 | − | 2.65437i | −0.104495 | − | 0.247521i | ||||
\(116\) | 6.70843 | − | 0.249921i | 0.622862 | − | 0.0232046i | ||||
\(117\) | − | 1.85478i | − | 0.171474i | ||||||
\(118\) | 4.72963 | + | 10.8428i | 0.435398 | + | 0.998164i | ||||
\(119\) | 11.9760i | 1.09784i | ||||||||
\(120\) | 8.08648 | − | 0.507083i | 0.738192 | − | 0.0462901i | ||||
\(121\) | − | 0.216302i | − | 0.0196639i | ||||||
\(122\) | 12.2348 | − | 5.33680i | 1.10768 | − | 0.483171i | ||||
\(123\) | − | 3.41996i | − | 0.308367i | ||||||
\(124\) | −0.330046 | + | 0.355590i | −0.0296390 | + | 0.0319329i | ||||
\(125\) | 4.48739 | + | 10.2403i | 0.401365 | + | 0.915918i | ||||
\(126\) | 1.23838 | + | 2.83903i | 0.110324 | + | 0.252921i | ||||
\(127\) | −7.29257 | − | 7.29257i | −0.647111 | − | 0.647111i | 0.305183 | − | 0.952294i | \(-0.401282\pi\) |
−0.952294 | + | 0.305183i | \(0.901282\pi\) | |||||||
\(128\) | 5.65129 | + | 9.80117i | 0.499508 | + | 0.866309i | ||||
\(129\) | 11.5923i | 1.02065i | ||||||||
\(130\) | −3.12878 | − | 2.97381i | −0.274412 | − | 0.260821i | ||||
\(131\) | −11.9793 | + | 11.9793i | −1.04664 | + | 1.04664i | −0.0477778 | + | 0.998858i | \(0.515214\pi\) |
−0.998858 | + | 0.0477778i | \(0.984786\pi\) | |||||||
\(132\) | 0.313240 | + | 8.40804i | 0.0272640 | + | 0.731826i | ||||
\(133\) | 8.42848 | 0.730842 | ||||||||
\(134\) | −5.98537 | − | 2.34965i | −0.517057 | − | 0.202978i | ||||
\(135\) | −11.5679 | − | 4.70010i | −0.995606 | − | 0.404520i | ||||
\(136\) | 6.94571 | − | 19.8342i | 0.595590 | − | 1.70077i | ||||
\(137\) | −4.92762 | − | 4.92762i | −0.420995 | − | 0.420995i | 0.464551 | − | 0.885546i | \(-0.346216\pi\) |
−0.885546 | + | 0.464551i | \(0.846216\pi\) | |||||||
\(138\) | 2.13975 | − | 0.933359i | 0.182148 | − | 0.0794528i | ||||
\(139\) | 10.3015 | − | 10.3015i | 0.873761 | − | 0.873761i | −0.119119 | − | 0.992880i | \(-0.538007\pi\) |
0.992880 | + | 0.119119i | \(0.0380071\pi\) | |||||||
\(140\) | 6.77461 | + | 2.46289i | 0.572559 | + | 0.208152i | ||||
\(141\) | 10.0927 | + | 10.0927i | 0.849962 | + | 0.849962i | ||||
\(142\) | −7.97845 | + | 20.3239i | −0.669537 | + | 1.70555i | ||||
\(143\) | 3.16963 | − | 3.16963i | 0.265058 | − | 0.265058i | ||||
\(144\) | −0.404411 | − | 5.42010i | −0.0337009 | − | 0.451675i | ||||
\(145\) | −6.91454 | + | 2.91909i | −0.574221 | + | 0.242417i | ||||
\(146\) | −1.19391 | − | 2.73707i | −0.0988086 | − | 0.226522i | ||||
\(147\) | 5.63931i | 0.465123i | ||||||||
\(148\) | 4.55107 | − | 4.90329i | 0.374096 | − | 0.403048i | ||||
\(149\) | −15.2040 | − | 15.2040i | −1.24556 | − | 1.24556i | −0.957662 | − | 0.287896i | \(-0.907044\pi\) |
−0.287896 | − | 0.957662i | \(-0.592956\pi\) | |||||||
\(150\) | −8.25338 | + | 3.73391i | −0.673886 | + | 0.304873i | ||||
\(151\) | −10.7055 | −0.871204 | −0.435602 | − | 0.900139i | \(-0.643464\pi\) | ||||
−0.435602 | + | 0.900139i | \(0.643464\pi\) | |||||||
\(152\) | −13.9589 | − | 4.88825i | −1.13222 | − | 0.396489i | ||||
\(153\) | −7.13882 | + | 7.13882i | −0.577139 | + | 0.577139i | ||||
\(154\) | −2.73534 | + | 6.96787i | −0.220420 | + | 0.561487i | ||||
\(155\) | 0.204178 | − | 0.502523i | 0.0164000 | − | 0.0403636i | ||||
\(156\) | 2.37929 | − | 2.56343i | 0.190495 | − | 0.205238i | ||||
\(157\) | 2.34588 | 0.187222 | 0.0936108 | − | 0.995609i | \(-0.470159\pi\) | ||||
0.0936108 | + | 0.995609i | \(0.470159\pi\) | |||||||
\(158\) | 5.32405 | − | 13.5622i | 0.423559 | − | 1.07895i | ||||
\(159\) | −7.43180 | −0.589380 | ||||||||
\(160\) | −9.79143 | − | 8.00799i | −0.774080 | − | 0.633087i | ||||
\(161\) | 2.07689 | 0.163682 | ||||||||
\(162\) | 1.59028 | − | 4.05101i | 0.124945 | − | 0.318278i | ||||
\(163\) | −2.73625 | −0.214319 | −0.107160 | − | 0.994242i | \(-0.534176\pi\) | ||||
−0.107160 | + | 0.994242i | \(0.534176\pi\) | |||||||
\(164\) | −3.63215 | + | 3.91326i | −0.283624 | + | 0.305574i | ||||
\(165\) | −3.65865 | − | 8.66636i | −0.284825 | − | 0.674675i | ||||
\(166\) | −1.68774 | + | 4.29926i | −0.130994 | + | 0.333687i | ||||
\(167\) | 10.1328 | − | 10.1328i | 0.784097 | − | 0.784097i | −0.196423 | − | 0.980519i | \(-0.562932\pi\) |
0.980519 | + | 0.196423i | \(0.0629325\pi\) | |||||||
\(168\) | −1.93034 | + | 5.51230i | −0.148929 | + | 0.425283i | ||||
\(169\) | 11.1367 | 0.856670 | ||||||||
\(170\) | 0.596443 | + | 23.4881i | 0.0457451 | + | 1.80146i | ||||
\(171\) | 5.02415 | + | 5.02415i | 0.384207 | + | 0.384207i | ||||
\(172\) | 12.3116 | − | 13.2644i | 0.938748 | − | 1.01140i | ||||
\(173\) | − | 8.79590i | − | 0.668740i | −0.942442 | − | 0.334370i | \(-0.891477\pi\) | ||
0.942442 | − | 0.334370i | \(-0.108523\pi\) | |||||||
\(174\) | −2.43137 | − | 5.57399i | −0.184322 | − | 0.422563i | ||||
\(175\) | −8.05851 | + | 0.109105i | −0.609166 | + | 0.00824753i | ||||
\(176\) | 8.57130 | − | 9.95349i | 0.646086 | − | 0.750273i | ||||
\(177\) | 7.57735 | − | 7.57735i | 0.569549 | − | 0.569549i | ||||
\(178\) | −5.04998 | + | 12.8641i | −0.378512 | + | 0.964202i | ||||
\(179\) | 6.62071 | + | 6.62071i | 0.494855 | + | 0.494855i | 0.909832 | − | 0.414977i | \(-0.136210\pi\) |
−0.414977 | + | 0.909832i | \(0.636210\pi\) | |||||||
\(180\) | 2.57018 | + | 5.50640i | 0.191570 | + | 0.410423i | ||||
\(181\) | −5.84339 | + | 5.84339i | −0.434336 | + | 0.434336i | −0.890100 | − | 0.455765i | \(-0.849366\pi\) |
0.455765 | + | 0.890100i | \(0.349366\pi\) | |||||||
\(182\) | 2.85204 | − | 1.24406i | 0.211408 | − | 0.0922157i | ||||
\(183\) | −8.55009 | − | 8.55009i | −0.632041 | − | 0.632041i | ||||
\(184\) | −3.43966 | − | 1.20453i | −0.253575 | − | 0.0887992i | ||||
\(185\) | −2.81545 | + | 6.92939i | −0.206996 | + | 0.509459i | ||||
\(186\) | 0.409095 | + | 0.160596i | 0.0299963 | + | 0.0117755i | ||||
\(187\) | −24.3990 | −1.78423 | ||||||||
\(188\) | −0.829571 | − | 22.2675i | −0.0605027 | − | 1.62402i | ||||
\(189\) | 6.36440 | − | 6.36440i | 0.462942 | − | 0.462942i | ||||
\(190\) | 16.5305 | − | 0.419764i | 1.19925 | − | 0.0304529i | ||||
\(191\) | − | 1.83906i | − | 0.133070i | −0.997784 | − | 0.0665349i | \(-0.978806\pi\) | ||
0.997784 | − | 0.0665349i | \(-0.0211944\pi\) | |||||||
\(192\) | 6.39391 | − | 8.00970i | 0.461440 | − | 0.578050i | ||||
\(193\) | 6.18343 | + | 6.18343i | 0.445093 | + | 0.445093i | 0.893719 | − | 0.448626i | \(-0.148087\pi\) |
−0.448626 | + | 0.893719i | \(0.648087\pi\) | |||||||
\(194\) | −1.30810 | − | 2.99886i | −0.0939160 | − | 0.215305i | ||||
\(195\) | −1.47191 | + | 3.62266i | −0.105405 | + | 0.259424i | ||||
\(196\) | 5.98921 | − | 6.45273i | 0.427801 | − | 0.460910i | ||||
\(197\) | − | 5.55669i | − | 0.395898i | −0.980212 | − | 0.197949i | \(-0.936572\pi\) | ||
0.980212 | − | 0.197949i | \(-0.0634280\pi\) | |||||||
\(198\) | −5.78401 | + | 2.52298i | −0.411052 | + | 0.179300i | ||||
\(199\) | − | 6.96413i | − | 0.493674i | −0.969057 | − | 0.246837i | \(-0.920609\pi\) | ||
0.969057 | − | 0.246837i | \(-0.0793912\pi\) | |||||||
\(200\) | 13.4094 | + | 4.49298i | 0.948191 | + | 0.317702i | ||||
\(201\) | 5.82480i | 0.410850i | ||||||||
\(202\) | −5.30920 | − | 12.1715i | −0.373554 | − | 0.856385i | ||||
\(203\) | − | 5.41024i | − | 0.379724i | ||||||
\(204\) | −19.0239 | + | 0.708731i | −1.33194 | + | 0.0496211i | ||||
\(205\) | 2.24697 | − | 5.53026i | 0.156935 | − | 0.386250i | ||||
\(206\) | −2.97379 | + | 1.29716i | −0.207194 | + | 0.0903776i | ||||
\(207\) | 1.23802 | + | 1.23802i | 0.0860483 | + | 0.0860483i | ||||
\(208\) | −5.44495 | + | 0.406265i | −0.377539 | + | 0.0281694i | ||||
\(209\) | 17.1715i | 1.18778i | ||||||||
\(210\) | −0.165763 | − | 6.52779i | −0.0114387 | − | 0.450460i | ||||
\(211\) | 5.43389 | − | 5.43389i | 0.374084 | − | 0.374084i | −0.494878 | − | 0.868962i | \(-0.664787\pi\) |
0.868962 | + | 0.494878i | \(0.164787\pi\) | |||||||
\(212\) | 8.50377 | + | 7.89291i | 0.584041 | + | 0.542088i | ||||
\(213\) | 19.7787 | 1.35521 | ||||||||
\(214\) | −1.88730 | + | 4.80761i | −0.129013 | + | 0.328642i | ||||
\(215\) | −7.61635 | + | 18.7454i | −0.519431 | + | 1.27843i | ||||
\(216\) | −14.2316 | + | 6.84931i | −0.968338 | + | 0.466036i | ||||
\(217\) | 0.276477 | + | 0.276477i | 0.0187685 | + | 0.0187685i | ||||
\(218\) | 4.16416 | + | 9.54647i | 0.282032 | + | 0.646568i | ||||
\(219\) | −1.91276 | + | 1.91276i | −0.129253 | + | 0.129253i | ||||
\(220\) | −5.01770 | + | 13.8021i | −0.338293 | + | 0.930534i | ||||
\(221\) | 7.17155 | + | 7.17155i | 0.482411 | + | 0.482411i | ||||
\(222\) | −5.64108 | − | 2.21449i | −0.378605 | − | 0.148627i | ||||
\(223\) | 8.61776 | − | 8.61776i | 0.577088 | − | 0.577088i | −0.357012 | − | 0.934100i | \(-0.616204\pi\) |
0.934100 | + | 0.357012i | \(0.116204\pi\) | |||||||
\(224\) | 8.06309 | − | 4.25728i | 0.538738 | − | 0.284452i | ||||
\(225\) | −4.86865 | − | 4.73858i | −0.324577 | − | 0.315905i | ||||
\(226\) | 7.84431 | − | 3.42168i | 0.521796 | − | 0.227607i | ||||
\(227\) | − | 6.01977i | − | 0.399546i | −0.979842 | − | 0.199773i | \(-0.935980\pi\) | ||
0.979842 | − | 0.199773i | \(-0.0640205\pi\) | |||||||
\(228\) | 0.498791 | + | 13.3886i | 0.0330332 | + | 0.886683i | ||||
\(229\) | −0.568504 | − | 0.568504i | −0.0375678 | − | 0.0375678i | 0.688073 | − | 0.725641i | \(-0.258457\pi\) |
−0.725641 | + | 0.688073i | \(0.758457\pi\) | |||||||
\(230\) | 4.07333 | − | 0.103436i | 0.268588 | − | 0.00682034i | ||||
\(231\) | 6.78094 | 0.446153 | ||||||||
\(232\) | −3.13776 | + | 8.96022i | −0.206004 | + | 0.588267i | ||||
\(233\) | 12.6979 | − | 12.6979i | 0.831869 | − | 0.831869i | −0.155904 | − | 0.987772i | \(-0.549829\pi\) |
0.987772 | + | 0.155904i | \(0.0498289\pi\) | |||||||
\(234\) | 2.44165 | + | 0.958508i | 0.159616 | + | 0.0626596i | ||||
\(235\) | 9.68940 | + | 22.9516i | 0.632067 | + | 1.49720i | ||||
\(236\) | −16.7178 | + | 0.622819i | −1.08824 | + | 0.0405421i | ||||
\(237\) | −13.1984 | −0.857327 | ||||||||
\(238\) | −15.7654 | − | 6.18894i | −1.02192 | − | 0.401169i | ||||
\(239\) | 1.78306 | 0.115336 | 0.0576682 | − | 0.998336i | \(-0.481633\pi\) | ||||
0.0576682 | + | 0.998336i | \(0.481633\pi\) | |||||||
\(240\) | −3.51138 | + | 10.9072i | −0.226659 | + | 0.704056i | ||||
\(241\) | 10.4440 | 0.672754 | 0.336377 | − | 0.941727i | \(-0.390798\pi\) | ||||
0.336377 | + | 0.941727i | \(0.390798\pi\) | |||||||
\(242\) | 0.284743 | + | 0.111780i | 0.0183040 | + | 0.00718550i | ||||
\(243\) | 12.8098 | 0.821747 | ||||||||
\(244\) | 0.702773 | + | 18.8639i | 0.0449904 | + | 1.20764i | ||||
\(245\) | −3.70513 | + | 9.11908i | −0.236712 | + | 0.582596i | ||||
\(246\) | 4.50208 | + | 1.76736i | 0.287042 | + | 0.112683i | ||||
\(247\) | 5.04719 | − | 5.04719i | 0.321145 | − | 0.321145i | ||||
\(248\) | −0.297542 | − | 0.618238i | −0.0188939 | − | 0.0392581i | ||||
\(249\) | 4.18392 | 0.265145 | ||||||||
\(250\) | −15.7994 | + | 0.615321i | −0.999242 | + | 0.0389163i | ||||
\(251\) | −12.6497 | − | 12.6497i | −0.798445 | − | 0.798445i | 0.184406 | − | 0.982850i | \(-0.440964\pi\) |
−0.982850 | + | 0.184406i | \(0.940964\pi\) | |||||||
\(252\) | −4.37730 | + | 0.163075i | −0.275744 | + | 0.0102728i | ||||
\(253\) | 4.23130i | 0.266019i | ||||||||
\(254\) | 13.3687 | − | 5.83140i | 0.838825 | − | 0.365894i | ||||
\(255\) | 19.6084 | − | 8.27800i | 1.22792 | − | 0.518388i | ||||
\(256\) | −15.8228 | + | 2.37440i | −0.988927 | + | 0.148400i | ||||
\(257\) | −4.13062 | + | 4.13062i | −0.257661 | + | 0.257661i | −0.824102 | − | 0.566441i | \(-0.808320\pi\) |
0.566441 | + | 0.824102i | \(0.308320\pi\) | |||||||
\(258\) | −15.2603 | − | 5.99064i | −0.950063 | − | 0.372961i | ||||
\(259\) | −3.81240 | − | 3.81240i | −0.236891 | − | 0.236891i | ||||
\(260\) | 5.53165 | − | 2.58197i | 0.343058 | − | 0.160127i | ||||
\(261\) | 3.22500 | − | 3.22500i | 0.199623 | − | 0.199623i | ||||
\(262\) | −9.57907 | − | 21.9603i | −0.591797 | − | 1.35671i | ||||
\(263\) | 17.1303 | + | 17.1303i | 1.05630 | + | 1.05630i | 0.998318 | + | 0.0579798i | \(0.0184659\pi\) |
0.0579798 | + | 0.998318i | \(0.481534\pi\) | |||||||
\(264\) | −11.2303 | − | 3.93273i | −0.691178 | − | 0.242043i | ||||
\(265\) | −12.0176 | − | 4.88282i | −0.738237 | − | 0.299949i | ||||
\(266\) | −4.35565 | + | 11.0954i | −0.267062 | + | 0.680300i | ||||
\(267\) | 12.5190 | 0.766147 | ||||||||
\(268\) | 6.18620 | − | 6.66497i | 0.377883 | − | 0.407128i | ||||
\(269\) | −19.8075 | + | 19.8075i | −1.20768 | + | 1.20768i | −0.235910 | + | 0.971775i | \(0.575807\pi\) |
−0.971775 | + | 0.235910i | \(0.924193\pi\) | |||||||
\(270\) | 12.1653 | − | 12.7992i | 0.740356 | − | 0.778936i | ||||
\(271\) | 27.9542i | 1.69810i | 0.528316 | + | 0.849048i | \(0.322824\pi\) | ||||
−0.528316 | + | 0.849048i | \(0.677176\pi\) | |||||||
\(272\) | 22.5206 | + | 19.3933i | 1.36551 | + | 1.17589i | ||||
\(273\) | −1.99311 | − | 1.99311i | −0.120628 | − | 0.120628i | ||||
\(274\) | 9.03326 | − | 3.94030i | 0.545719 | − | 0.238042i | ||||
\(275\) | −0.222281 | − | 16.4178i | −0.0134041 | − | 0.990029i | ||||
\(276\) | 0.122909 | + | 3.29914i | 0.00739824 | + | 0.198585i | ||||
\(277\) | 26.0257i | 1.56373i | 0.623447 | + | 0.781866i | \(0.285732\pi\) | ||||
−0.623447 | + | 0.781866i | \(0.714268\pi\) | |||||||
\(278\) | 8.23743 | + | 18.8846i | 0.494048 | + | 1.13262i | ||||
\(279\) | 0.329612i | 0.0197333i | ||||||||
\(280\) | −6.74314 | + | 7.64541i | −0.402980 | + | 0.456901i | ||||
\(281\) | − | 24.1001i | − | 1.43769i | −0.695170 | − | 0.718846i | \(-0.744671\pi\) | ||
0.695170 | − | 0.718846i | \(-0.255329\pi\) | |||||||
\(282\) | −18.5019 | + | 8.07051i | −1.10177 | + | 0.480592i | ||||
\(283\) | 4.73708i | 0.281590i | 0.990039 | + | 0.140795i | \(0.0449658\pi\) | ||||
−0.990039 | + | 0.140795i | \(0.955034\pi\) | |||||||
\(284\) | −22.6316 | − | 21.0059i | −1.34294 | − | 1.24647i | ||||
\(285\) | −5.82588 | − | 13.8000i | −0.345096 | − | 0.817439i | ||||
\(286\) | 2.53455 | + | 5.81053i | 0.149871 | + | 0.343584i | ||||
\(287\) | 3.04262 | + | 3.04262i | 0.179600 | + | 0.179600i | ||||
\(288\) | 7.34408 | + | 2.26861i | 0.432754 | + | 0.133679i | ||||
\(289\) | − | 38.2049i | − | 2.24734i | ||||||
\(290\) | −0.269446 | − | 10.6109i | −0.0158224 | − | 0.623093i | ||||
\(291\) | −2.09571 | + | 2.09571i | −0.122852 | + | 0.122852i | ||||
\(292\) | 4.22010 | − | 0.157219i | 0.246963 | − | 0.00920056i | ||||
\(293\) | −3.11001 | −0.181689 | −0.0908445 | − | 0.995865i | \(-0.528957\pi\) | ||||
−0.0908445 | + | 0.995865i | \(0.528957\pi\) | |||||||
\(294\) | −7.42366 | − | 2.91427i | −0.432957 | − | 0.169964i | ||||
\(295\) | 17.2314 | − | 7.27454i | 1.00325 | − | 0.423540i | ||||
\(296\) | 4.10287 | + | 8.52500i | 0.238474 | + | 0.495505i | ||||
\(297\) | 12.9663 | + | 12.9663i | 0.752382 | + | 0.752382i | ||||
\(298\) | 27.8718 | − | 12.1576i | 1.61457 | − | 0.704273i | ||||
\(299\) | 1.24370 | − | 1.24370i | 0.0719248 | − | 0.0719248i | ||||
\(300\) | −0.650208 | − | 12.7945i | −0.0375398 | − | 0.738688i | ||||
\(301\) | −10.3133 | − | 10.3133i | −0.594449 | − | 0.594449i | ||||
\(302\) | 5.53238 | − | 14.0929i | 0.318352 | − | 0.810955i | ||||
\(303\) | −8.50588 | + | 8.50588i | −0.488650 | + | 0.488650i | ||||
\(304\) | 13.6486 | − | 15.8495i | 0.782801 | − | 0.909034i | ||||
\(305\) | −8.20840 | − | 19.4435i | −0.470012 | − | 1.11333i | ||||
\(306\) | −5.70845 | − | 13.0868i | −0.326330 | − | 0.748123i | ||||
\(307\) | − | 14.5670i | − | 0.831382i | −0.909506 | − | 0.415691i | \(-0.863540\pi\) | ||
0.909506 | − | 0.415691i | \(-0.136460\pi\) | |||||||
\(308\) | −7.75903 | − | 7.20167i | −0.442112 | − | 0.410353i | ||||
\(309\) | 2.07819 | + | 2.07819i | 0.118224 | + | 0.118224i | ||||
\(310\) | 0.556014 | + | 0.528475i | 0.0315794 | + | 0.0300153i | ||||
\(311\) | −14.4572 | −0.819791 | −0.409896 | − | 0.912132i | \(-0.634435\pi\) | ||||
−0.409896 | + | 0.912132i | \(0.634435\pi\) | |||||||
\(312\) | 2.14496 | + | 4.45684i | 0.121435 | + | 0.252319i | ||||
\(313\) | −10.1273 | + | 10.1273i | −0.572429 | + | 0.572429i | −0.932807 | − | 0.360377i | \(-0.882648\pi\) |
0.360377 | + | 0.932807i | \(0.382648\pi\) | |||||||
\(314\) | −1.21230 | + | 3.08815i | −0.0684139 | + | 0.174274i | ||||
\(315\) | 4.51178 | − | 1.90472i | 0.254210 | − | 0.107319i | ||||
\(316\) | 15.1021 | + | 14.0173i | 0.849561 | + | 0.788534i | ||||
\(317\) | −13.8750 | −0.779295 | −0.389648 | − | 0.920964i | \(-0.627403\pi\) | ||||
−0.389648 | + | 0.920964i | \(0.627403\pi\) | |||||||
\(318\) | 3.84058 | − | 9.78332i | 0.215369 | − | 0.548621i | ||||
\(319\) | 11.0224 | 0.617136 | ||||||||
\(320\) | 15.6018 | − | 8.75121i | 0.872167 | − | 0.489208i | ||||
\(321\) | 4.67864 | 0.261136 | ||||||||
\(322\) | −1.07329 | + | 2.73405i | −0.0598121 | + | 0.152362i | ||||
\(323\) | −38.8520 | −2.16179 | ||||||||
\(324\) | 4.51098 | + | 4.18694i | 0.250610 | + | 0.232608i | ||||
\(325\) | −4.76030 | + | 4.89097i | −0.264054 | + | 0.271302i | ||||
\(326\) | 1.41403 | − | 3.60203i | 0.0783158 | − | 0.199498i | ||||
\(327\) | 6.67140 | − | 6.67140i | 0.368930 | − | 0.368930i | ||||
\(328\) | −3.27445 | − | 6.80369i | −0.180801 | − | 0.375671i | ||||
\(329\) | −17.9584 | −0.990076 | ||||||||
\(330\) | 13.2992 | − | 0.337712i | 0.732097 | − | 0.0185904i | ||||
\(331\) | 1.69458 | + | 1.69458i | 0.0931425 | + | 0.0931425i | 0.752143 | − | 0.659000i | \(-0.229020\pi\) |
−0.659000 | + | 0.752143i | \(0.729020\pi\) | |||||||
\(332\) | −4.78741 | − | 4.44352i | −0.262743 | − | 0.243870i | ||||
\(333\) | − | 4.54508i | − | 0.249069i | ||||||
\(334\) | 8.10251 | + | 18.5753i | 0.443350 | + | 1.01639i | ||||
\(335\) | −3.82699 | + | 9.41902i | −0.209091 | + | 0.514616i | ||||
\(336\) | −6.25890 | − | 5.38975i | −0.341451 | − | 0.294035i | ||||
\(337\) | −9.53338 | + | 9.53338i | −0.519316 | + | 0.519316i | −0.917364 | − | 0.398048i | \(-0.869688\pi\) |
0.398048 | + | 0.917364i | \(0.369688\pi\) | |||||||
\(338\) | −5.75520 | + | 14.6605i | −0.313042 | + | 0.797427i | ||||
\(339\) | −5.48188 | − | 5.48188i | −0.297735 | − | 0.297735i | ||||
\(340\) | −31.2283 | − | 11.3530i | −1.69359 | − | 0.615701i | ||||
\(341\) | −0.563273 | + | 0.563273i | −0.0305029 | + | 0.0305029i | ||||
\(342\) | −9.21023 | + | 4.01749i | −0.498032 | + | 0.217241i | ||||
\(343\) | −12.9954 | − | 12.9954i | −0.701683 | − | 0.701683i | ||||
\(344\) | 11.0991 | + | 23.0618i | 0.598422 | + | 1.24341i | ||||
\(345\) | −1.43558 | − | 3.40050i | −0.0772888 | − | 0.183077i | ||||
\(346\) | 11.5790 | + | 4.54552i | 0.622492 | + | 0.244369i | ||||
\(347\) | −6.67273 | −0.358211 | −0.179105 | − | 0.983830i | \(-0.557320\pi\) | ||||
−0.179105 | + | 0.983830i | \(0.557320\pi\) | |||||||
\(348\) | 8.59415 | − | 0.320173i | 0.460695 | − | 0.0171631i | ||||
\(349\) | 2.02618 | − | 2.02618i | 0.108459 | − | 0.108459i | −0.650795 | − | 0.759254i | \(-0.725564\pi\) |
0.759254 | + | 0.650795i | \(0.225564\pi\) | |||||||
\(350\) | 4.02082 | − | 10.6647i | 0.214922 | − | 0.570052i | ||||
\(351\) | − | 7.62233i | − | 0.406850i | ||||||
\(352\) | 8.67345 | + | 16.4271i | 0.462296 | + | 0.875567i | ||||
\(353\) | −5.36542 | − | 5.36542i | −0.285572 | − | 0.285572i | 0.549754 | − | 0.835327i | \(-0.314721\pi\) |
−0.835327 | + | 0.549754i | \(0.814721\pi\) | |||||||
\(354\) | 6.05912 | + | 13.8907i | 0.322039 | + | 0.738284i | ||||
\(355\) | 31.9832 | + | 12.9949i | 1.69749 | + | 0.689700i | ||||
\(356\) | −14.3247 | − | 13.2957i | −0.759207 | − | 0.704671i | ||||
\(357\) | 15.3425i | 0.812009i | ||||||||
\(358\) | −12.1370 | + | 5.29416i | −0.641462 | + | 0.279805i | ||||
\(359\) | 7.76117i | 0.409619i | 0.978802 | + | 0.204809i | \(0.0656574\pi\) | ||||
−0.978802 | + | 0.204809i | \(0.934343\pi\) | |||||||
\(360\) | −8.57690 | + | 0.537836i | −0.452043 | + | 0.0283465i | ||||
\(361\) | 8.34326i | 0.439119i | ||||||||
\(362\) | −4.67258 | − | 10.7120i | −0.245585 | − | 0.563012i | ||||
\(363\) | − | 0.277104i | − | 0.0145442i | ||||||
\(364\) | 0.163823 | + | 4.39737i | 0.00858666 | + | 0.230485i | ||||
\(365\) | −4.34976 | + | 1.83632i | −0.227677 | + | 0.0961175i | ||||
\(366\) | 15.6739 | − | 6.83695i | 0.819290 | − | 0.357373i | ||||
\(367\) | 18.0536 | + | 18.0536i | 0.942389 | + | 0.942389i | 0.998429 | − | 0.0560392i | \(-0.0178472\pi\) |
−0.0560392 | + | 0.998429i | \(0.517847\pi\) | |||||||
\(368\) | 3.36320 | − | 3.90554i | 0.175319 | − | 0.203590i | ||||
\(369\) | 3.62737i | 0.188833i | ||||||||
\(370\) | −7.66698 | − | 7.28724i | −0.398587 | − | 0.378845i | ||||
\(371\) | 6.61183 | − | 6.61183i | 0.343269 | − | 0.343269i | ||||
\(372\) | −0.422821 | + | 0.455545i | −0.0219223 | + | 0.0236189i | ||||
\(373\) | −4.36197 | −0.225854 | −0.112927 | − | 0.993603i | \(-0.536023\pi\) | ||||
−0.112927 | + | 0.993603i | \(0.536023\pi\) | |||||||
\(374\) | 12.6089 | − | 32.1192i | 0.651988 | − | 1.66084i | ||||
\(375\) | 5.74879 | + | 13.1188i | 0.296866 | + | 0.677451i | ||||
\(376\) | 29.7419 | + | 10.4153i | 1.53382 | + | 0.537126i | ||||
\(377\) | −3.23979 | − | 3.23979i | −0.166858 | − | 0.166858i | ||||
\(378\) | 5.08920 | + | 11.6671i | 0.261760 | + | 0.600093i | ||||
\(379\) | −5.93072 | + | 5.93072i | −0.304641 | + | 0.304641i | −0.842826 | − | 0.538186i | \(-0.819110\pi\) |
0.538186 | + | 0.842826i | \(0.319110\pi\) | |||||||
\(380\) | −7.98998 | + | 21.9778i | −0.409878 | + | 1.12744i | ||||
\(381\) | −9.34249 | − | 9.34249i | −0.478630 | − | 0.478630i | ||||
\(382\) | 2.42096 | + | 0.950385i | 0.123867 | + | 0.0486259i | ||||
\(383\) | −19.3340 | + | 19.3340i | −0.987922 | + | 0.987922i | −0.999928 | − | 0.0120057i | \(-0.996178\pi\) |
0.0120057 | + | 0.999928i | \(0.496178\pi\) | |||||||
\(384\) | 7.23984 | + | 12.5562i | 0.369457 | + | 0.640758i | ||||
\(385\) | 10.9652 | + | 4.45520i | 0.558836 | + | 0.227058i | ||||
\(386\) | −11.3354 | + | 4.94449i | −0.576957 | + | 0.251668i | ||||
\(387\) | − | 12.2954i | − | 0.625008i | ||||||
\(388\) | 4.62373 | − | 0.172256i | 0.234734 | − | 0.00874498i | ||||
\(389\) | 6.28607 | + | 6.28607i | 0.318716 | + | 0.318716i | 0.848274 | − | 0.529558i | \(-0.177642\pi\) |
−0.529558 | + | 0.848274i | \(0.677642\pi\) | |||||||
\(390\) | −4.00827 | − | 3.80974i | −0.202967 | − | 0.192914i | ||||
\(391\) | −9.57367 | −0.484161 | ||||||||
\(392\) | 5.39937 | + | 11.2189i | 0.272709 | + | 0.566640i | ||||
\(393\) | −15.3466 | + | 15.3466i | −0.774135 | + | 0.774135i | ||||
\(394\) | 7.31489 | + | 2.87157i | 0.368519 | + | 0.144668i | ||||
\(395\) | −21.3425 | − | 8.67157i | −1.07386 | − | 0.436314i | ||||
\(396\) | −0.332237 | − | 8.91796i | −0.0166955 | − | 0.448144i | ||||
\(397\) | 6.58413 | 0.330448 | 0.165224 | − | 0.986256i | \(-0.447165\pi\) | ||||
0.165224 | + | 0.986256i | \(0.447165\pi\) | |||||||
\(398\) | 9.16767 | + | 3.59890i | 0.459534 | + | 0.180397i | ||||
\(399\) | 10.7977 | 0.540561 | ||||||||
\(400\) | −12.8443 | + | 15.3305i | −0.642215 | + | 0.766524i | ||||
\(401\) | 19.7951 | 0.988522 | 0.494261 | − | 0.869313i | \(-0.335439\pi\) | ||||
0.494261 | + | 0.869313i | \(0.335439\pi\) | |||||||
\(402\) | −7.66784 | − | 3.01012i | −0.382437 | − | 0.150131i | ||||
\(403\) | 0.331123 | 0.0164944 | ||||||||
\(404\) | 18.7664 | − | 0.699139i | 0.933664 | − | 0.0347835i | ||||
\(405\) | −6.37497 | − | 2.59018i | −0.316775 | − | 0.128707i | ||||
\(406\) | 7.12211 | + | 2.79589i | 0.353464 | + | 0.138758i | ||||
\(407\) | 7.76707 | − | 7.76707i | 0.385000 | − | 0.385000i | ||||
\(408\) | 8.89813 | − | 25.4095i | 0.440523 | − | 1.25796i | ||||
\(409\) | 5.76937 | 0.285277 | 0.142638 | − | 0.989775i | \(-0.454441\pi\) | ||||
0.142638 | + | 0.989775i | \(0.454441\pi\) | |||||||
\(410\) | 6.11892 | + | 5.81585i | 0.302192 | + | 0.287225i | ||||
\(411\) | −6.31276 | − | 6.31276i | −0.311385 | − | 0.311385i | ||||
\(412\) | −0.170816 | − | 4.58507i | −0.00841550 | − | 0.225890i | ||||
\(413\) | 13.4826i | 0.663437i | ||||||||
\(414\) | −2.26952 | + | 0.989964i | −0.111541 | + | 0.0486541i | ||||
\(415\) | 6.76563 | + | 2.74891i | 0.332112 | + | 0.134939i | ||||
\(416\) | 2.27901 | − | 7.37775i | 0.111738 | − | 0.361724i | ||||
\(417\) | 13.1972 | − | 13.1972i | 0.646270 | − | 0.646270i | ||||
\(418\) | −22.6048 | − | 8.87385i | −1.10564 | − | 0.434034i | ||||
\(419\) | 8.68932 | + | 8.68932i | 0.424501 | + | 0.424501i | 0.886750 | − | 0.462249i | \(-0.152957\pi\) |
−0.462249 | + | 0.886750i | \(0.652957\pi\) | |||||||
\(420\) | 8.67893 | + | 3.15520i | 0.423488 | + | 0.153958i | ||||
\(421\) | 20.1193 | − | 20.1193i | 0.980555 | − | 0.980555i | −0.0192594 | − | 0.999815i | \(-0.506131\pi\) |
0.999815 | + | 0.0192594i | \(0.00613083\pi\) | |||||||
\(422\) | 4.34513 | + | 9.96134i | 0.211517 | + | 0.484911i | ||||
\(423\) | −10.7048 | − | 10.7048i | −0.520487 | − | 0.520487i | ||||
\(424\) | −14.7849 | + | 7.11559i | −0.718017 | + | 0.345564i | ||||
\(425\) | 37.1466 | − | 0.502930i | 1.80187 | − | 0.0243957i | ||||
\(426\) | −10.2212 | + | 26.0369i | −0.495217 | + | 1.26149i | ||||
\(427\) | 15.2135 | 0.736231 | ||||||||
\(428\) | −5.35349 | − | 4.96893i | −0.258770 | − | 0.240182i | ||||
\(429\) | 4.06060 | − | 4.06060i | 0.196048 | − | 0.196048i | ||||
\(430\) | −20.7407 | − | 19.7134i | −1.00021 | − | 0.950667i | ||||
\(431\) | − | 33.6247i | − | 1.61965i | −0.586675 | − | 0.809823i | \(-0.699563\pi\) | ||
0.586675 | − | 0.809823i | \(-0.300437\pi\) | |||||||
\(432\) | −1.66195 | − | 22.2742i | −0.0799606 | − | 1.07167i | ||||
\(433\) | 7.46558 | + | 7.46558i | 0.358773 | + | 0.358773i | 0.863361 | − | 0.504588i | \(-0.168355\pi\) |
−0.504588 | + | 0.863361i | \(0.668355\pi\) | |||||||
\(434\) | −0.506835 | + | 0.221081i | −0.0243289 | + | 0.0106122i | ||||
\(435\) | −8.85819 | + | 3.73963i | −0.424718 | + | 0.179302i | ||||
\(436\) | −14.7190 | + | 0.548355i | −0.704914 | + | 0.0262614i | ||||
\(437\) | 6.73775i | 0.322310i | ||||||||
\(438\) | −1.52951 | − | 3.50646i | −0.0730829 | − | 0.167545i | ||||
\(439\) | 7.91929i | 0.377967i | 0.981980 | + | 0.188984i | \(0.0605193\pi\) | ||||
−0.981980 | + | 0.188984i | \(0.939481\pi\) | |||||||
\(440\) | −15.5762 | − | 13.7379i | −0.742564 | − | 0.654931i | ||||
\(441\) | − | 5.98132i | − | 0.284825i | ||||||
\(442\) | −13.1468 | + | 5.73463i | −0.625330 | + | 0.272768i | ||||
\(443\) | 10.6463i | 0.505823i | 0.967489 | + | 0.252911i | \(0.0813881\pi\) | ||||
−0.967489 | + | 0.252911i | \(0.918612\pi\) | |||||||
\(444\) | 5.83036 | − | 6.28159i | 0.276697 | − | 0.298111i | ||||
\(445\) | 20.2438 | + | 8.22517i | 0.959649 | + | 0.389910i | ||||
\(446\) | 6.89106 | + | 15.7980i | 0.326301 | + | 0.748056i | ||||
\(447\) | −19.4778 | − | 19.4778i | −0.921266 | − | 0.921266i | ||||
\(448\) | 1.43752 | + | 12.8144i | 0.0679164 | + | 0.605424i | ||||
\(449\) | 6.08115i | 0.286987i | 0.989651 | + | 0.143494i | \(0.0458336\pi\) | ||||
−0.989651 | + | 0.143494i | \(0.954166\pi\) | |||||||
\(450\) | 8.75393 | − | 3.96036i | 0.412664 | − | 0.186693i | ||||
\(451\) | −6.19880 | + | 6.19880i | −0.291890 | + | 0.291890i | ||||
\(452\) | 0.450582 | + | 12.0946i | 0.0211936 | + | 0.568882i | ||||
\(453\) | −13.7148 | −0.644379 | ||||||||
\(454\) | 7.92450 | + | 3.11088i | 0.371915 | + | 0.146001i | ||||
\(455\) | −1.91346 | − | 4.53247i | −0.0897042 | − | 0.212485i | ||||
\(456\) | −17.8827 | − | 6.26232i | −0.837435 | − | 0.293260i | ||||
\(457\) | 0.313815 | + | 0.313815i | 0.0146796 | + | 0.0146796i | 0.714409 | − | 0.699729i | \(-0.246696\pi\) |
−0.699729 | + | 0.714409i | \(0.746696\pi\) | |||||||
\(458\) | 1.04218 | − | 0.454596i | 0.0486977 | − | 0.0212419i | ||||
\(459\) | −29.3374 | + | 29.3374i | −1.36935 | + | 1.36935i | ||||
\(460\) | −1.96884 | + | 5.41564i | −0.0917977 | + | 0.252505i | ||||
\(461\) | 9.90949 | + | 9.90949i | 0.461531 | + | 0.461531i | 0.899157 | − | 0.437626i | \(-0.144181\pi\) |
−0.437626 | + | 0.899157i | \(0.644181\pi\) | |||||||
\(462\) | −3.50424 | + | 8.92652i | −0.163032 | + | 0.415299i | ||||
\(463\) | 17.3430 | − | 17.3430i | 0.805999 | − | 0.805999i | −0.178027 | − | 0.984026i | \(-0.556971\pi\) |
0.984026 | + | 0.178027i | \(0.0569714\pi\) | |||||||
\(464\) | −10.1738 | − | 8.76103i | −0.472307 | − | 0.406720i | ||||
\(465\) | 0.261571 | − | 0.643781i | 0.0121301 | − | 0.0298546i | ||||
\(466\) | 10.1537 | + | 23.2777i | 0.470361 | + | 1.07832i | ||||
\(467\) | − | 1.52267i | − | 0.0704606i | −0.999379 | − | 0.0352303i | \(-0.988784\pi\) | ||
0.999379 | − | 0.0352303i | \(-0.0112165\pi\) | |||||||
\(468\) | −2.52358 | + | 2.71889i | −0.116653 | + | 0.125681i | ||||
\(469\) | −5.18213 | − | 5.18213i | −0.239289 | − | 0.239289i | ||||
\(470\) | −35.2210 | + | 0.894381i | −1.62463 | + | 0.0412547i | ||||
\(471\) | 3.00530 | 0.138477 | ||||||||
\(472\) | 7.81950 | − | 22.3294i | 0.359921 | − | 1.02779i | ||||
\(473\) | 21.0115 | − | 21.0115i | 0.966110 | − | 0.966110i | ||||
\(474\) | 6.82062 | − | 17.3745i | 0.313282 | − | 0.798038i | ||||
\(475\) | −0.353952 | − | 26.1430i | −0.0162404 | − | 1.19952i | ||||
\(476\) | 16.2944 | − | 17.5555i | 0.746852 | − | 0.804653i | ||||
\(477\) | 7.88252 | 0.360916 | ||||||||
\(478\) | −0.921443 | + | 2.34724i | −0.0421458 | + | 0.107360i | ||||
\(479\) | 0.507657 | 0.0231955 | 0.0115977 | − | 0.999933i | \(-0.496308\pi\) | ||||
0.0115977 | + | 0.999933i | \(0.496308\pi\) | |||||||
\(480\) | −12.5438 | − | 10.2590i | −0.572542 | − | 0.468258i | ||||
\(481\) | −4.56592 | −0.208188 | ||||||||
\(482\) | −5.39720 | + | 13.7486i | −0.245836 | + | 0.626229i | ||||
\(483\) | 2.66070 | 0.121066 | ||||||||
\(484\) | −0.294297 | + | 0.317074i | −0.0133772 | + | 0.0144125i | ||||
\(485\) | −4.76578 | + | 2.01195i | −0.216403 | + | 0.0913581i | ||||
\(486\) | −6.61979 | + | 16.8629i | −0.300280 | + | 0.764918i | ||||
\(487\) | −25.9809 | + | 25.9809i | −1.17730 | + | 1.17730i | −0.196876 | + | 0.980428i | \(0.563080\pi\) |
−0.980428 | + | 0.196876i | \(0.936920\pi\) | |||||||
\(488\) | −25.1959 | − | 8.82332i | −1.14057 | − | 0.399413i | ||||
\(489\) | −3.50539 | −0.158519 | ||||||||
\(490\) | −10.0897 | − | 9.59000i | −0.455808 | − | 0.433232i | ||||
\(491\) | −3.28208 | − | 3.28208i | −0.148118 | − | 0.148118i | 0.629159 | − | 0.777277i | \(-0.283400\pi\) |
−0.777277 | + | 0.629159i | \(0.783400\pi\) | |||||||
\(492\) | −4.65314 | + | 5.01326i | −0.209780 | + | 0.226015i | ||||
\(493\) | 24.9391i | 1.12320i | ||||||||
\(494\) | 4.03591 | + | 9.25246i | 0.181584 | + | 0.416288i | ||||
\(495\) | 3.88053 | + | 9.19195i | 0.174417 | + | 0.413147i | ||||
\(496\) | 0.967619 | − | 0.0721971i | 0.0434474 | − | 0.00324175i | ||||
\(497\) | −17.5964 | + | 17.5964i | −0.789308 | + | 0.789308i | ||||
\(498\) | −2.16215 | + | 5.50777i | −0.0968885 | + | 0.246809i | ||||
\(499\) | −6.73907 | − | 6.73907i | −0.301682 | − | 0.301682i | 0.539990 | − | 0.841672i | \(-0.318428\pi\) |
−0.841672 | + | 0.539990i | \(0.818428\pi\) | |||||||
\(500\) | 7.35476 | − | 21.1165i | 0.328915 | − | 0.944360i | ||||
\(501\) | 12.9810 | − | 12.9810i | 0.579950 | − | 0.579950i | ||||
\(502\) | 23.1894 | − | 10.1152i | 1.03499 | − | 0.451463i | ||||
\(503\) | −6.12090 | − | 6.12090i | −0.272918 | − | 0.272918i | 0.557356 | − | 0.830274i | \(-0.311816\pi\) |
−0.830274 | + | 0.557356i | \(0.811816\pi\) | |||||||
\(504\) | 2.04741 | − | 5.84660i | 0.0911990 | − | 0.260428i | ||||
\(505\) | −19.3430 | + | 8.16596i | −0.860752 | + | 0.363380i | ||||
\(506\) | −5.57013 | − | 2.18664i | −0.247623 | − | 0.0972079i | ||||
\(507\) | 14.2672 | 0.633629 | ||||||||
\(508\) | 0.767904 | + | 20.6122i | 0.0340702 | + | 0.914519i | ||||
\(509\) | 13.8727 | − | 13.8727i | 0.614894 | − | 0.614894i | −0.329323 | − | 0.944217i | \(-0.606820\pi\) |
0.944217 | + | 0.329323i | \(0.106820\pi\) | |||||||
\(510\) | 0.764101 | + | 30.0906i | 0.0338350 | + | 1.33243i | ||||
\(511\) | − | 3.40344i | − | 0.150559i | ||||||
\(512\) | 5.05119 | − | 22.0564i | 0.223233 | − | 0.974765i | ||||
\(513\) | 20.6471 | + | 20.6471i | 0.911590 | + | 0.911590i | ||||
\(514\) | −3.30299 | − | 7.57221i | −0.145689 | − | 0.333996i | ||||
\(515\) | 1.99514 | + | 4.72594i | 0.0879162 | + | 0.208250i | ||||
\(516\) | 15.7723 | − | 16.9930i | 0.694337 | − | 0.748074i | ||||
\(517\) | − | 36.5869i | − | 1.60909i | ||||||
\(518\) | 6.98884 | − | 3.04853i | 0.307072 | − | 0.133945i | ||||
\(519\) | − | 11.2684i | − | 0.494628i | ||||||
\(520\) | 0.540302 | + | 8.61623i | 0.0236938 | + | 0.377847i | ||||
\(521\) | 5.87686i | 0.257470i | 0.991679 | + | 0.128735i | \(0.0410917\pi\) | ||||
−0.991679 | + | 0.128735i | \(0.958908\pi\) | |||||||
\(522\) | 2.57883 | + | 5.91204i | 0.112872 | + | 0.258763i | ||||
\(523\) | − | 26.0176i | − | 1.13767i | −0.822452 | − | 0.568834i | \(-0.807395\pi\) | ||
0.822452 | − | 0.568834i | \(-0.192605\pi\) | |||||||
\(524\) | 33.8591 | − | 1.26141i | 1.47914 | − | 0.0551051i | ||||
\(525\) | −10.3237 | + | 0.139774i | −0.450564 | + | 0.00610022i | ||||
\(526\) | −31.4030 | + | 13.6980i | −1.36924 | + | 0.597260i | ||||
\(527\) | −1.27445 | − | 1.27445i | −0.0555160 | − | 0.0555160i | ||||
\(528\) | 10.9807 | − | 12.7514i | 0.477872 | − | 0.554933i | ||||
\(529\) | − | 21.3397i | − | 0.927814i | ||||||
\(530\) | 12.6382 | − | 13.2968i | 0.548970 | − | 0.577577i | ||||
\(531\) | −8.03690 | + | 8.03690i | −0.348772 | + | 0.348772i | ||||
\(532\) | −12.3552 | − | 11.4677i | −0.535665 | − | 0.497186i | ||||
\(533\) | 3.64400 | 0.157839 | ||||||||
\(534\) | −6.46951 | + | 16.4801i | −0.279963 | + | 0.713164i | ||||
\(535\) | 7.56561 | + | 3.07394i | 0.327090 | + | 0.132898i | ||||
\(536\) | 5.57696 | + | 11.5879i | 0.240888 | + | 0.500521i | ||||
\(537\) | 8.48177 | + | 8.48177i | 0.366016 | + | 0.366016i | ||||
\(538\) | −15.8388 | − | 36.3109i | −0.682858 | − | 1.56547i | ||||
\(539\) | 10.2215 | − | 10.2215i | 0.440270 | − | 0.440270i | ||||
\(540\) | 10.5623 | + | 22.6289i | 0.454529 | + | 0.973792i | ||||
\(541\) | −6.57691 | − | 6.57691i | −0.282764 | − | 0.282764i | 0.551447 | − | 0.834210i | \(-0.314076\pi\) |
−0.834210 | + | 0.551447i | \(0.814076\pi\) | |||||||
\(542\) | −36.7992 | − | 14.4461i | −1.58066 | − | 0.620513i | ||||
\(543\) | −7.48594 | + | 7.48594i | −0.321253 | + | 0.321253i | ||||
\(544\) | −37.1677 | + | 19.6244i | −1.59355 | + | 0.841390i | ||||
\(545\) | 15.1712 | − | 6.40479i | 0.649865 | − | 0.274351i | ||||
\(546\) | 3.65374 | − | 1.59376i | 0.156366 | − | 0.0682066i | ||||
\(547\) | 10.6170i | 0.453951i | 0.973900 | + | 0.226976i | \(0.0728838\pi\) | ||||
−0.973900 | + | 0.226976i | \(0.927116\pi\) | |||||||
\(548\) | 0.518876 | + | 13.9277i | 0.0221653 | + | 0.594964i | ||||
\(549\) | 9.06863 | + | 9.06863i | 0.387040 | + | 0.387040i | ||||
\(550\) | 21.7274 | + | 8.19171i | 0.926460 | + | 0.349296i | ||||
\(551\) | 17.5516 | 0.747724 | ||||||||
\(552\) | −4.40654 | − | 1.54312i | −0.187555 | − | 0.0656796i | ||||
\(553\) | 11.7422 | − | 11.7422i | 0.499328 | − | 0.499328i | ||||
\(554\) | −34.2605 | − | 13.4495i | −1.45559 | − | 0.571414i | ||||
\(555\) | −3.60686 | + | 8.87722i | −0.153103 | + | 0.376817i | ||||
\(556\) | −29.1168 | + | 1.08474i | −1.23483 | + | 0.0460033i | ||||
\(557\) | 20.9610 | 0.888146 | 0.444073 | − | 0.895991i | \(-0.353533\pi\) | ||||
0.444073 | + | 0.895991i | \(0.353533\pi\) | |||||||
\(558\) | −0.433905 | − | 0.170336i | −0.0183687 | − | 0.00721089i | ||||
\(559\) | −12.3517 | −0.522422 | ||||||||
\(560\) | −6.57981 | − | 12.8277i | −0.278048 | − | 0.542070i | ||||
\(561\) | −31.2575 | −1.31969 | ||||||||
\(562\) | 31.7257 | + | 12.4544i | 1.33827 | + | 0.525356i | ||||
\(563\) | 16.5598 | 0.697911 | 0.348955 | − | 0.937139i | \(-0.386536\pi\) | ||||
0.348955 | + | 0.937139i | \(0.386536\pi\) | |||||||
\(564\) | −1.06276 | − | 28.5268i | −0.0447503 | − | 1.20119i | ||||
\(565\) | −5.26280 | − | 12.4662i | −0.221408 | − | 0.524456i | ||||
\(566\) | −6.23594 | − | 2.44801i | −0.262116 | − | 0.102898i | ||||
\(567\) | 3.50736 | − | 3.50736i | 0.147295 | − | 0.147295i | ||||
\(568\) | 39.3479 | − | 18.9371i | 1.65100 | − | 0.794584i | ||||
\(569\) | −39.6751 | −1.66327 | −0.831634 | − | 0.555325i | \(-0.812594\pi\) | ||||
−0.831634 | + | 0.555325i | \(0.812594\pi\) | |||||||
\(570\) | 21.1771 | − | 0.537759i | 0.887012 | − | 0.0225242i | ||||
\(571\) | 24.0292 | + | 24.0292i | 1.00559 | + | 1.00559i | 0.999984 | + | 0.00560819i | \(0.00178515\pi\) |
0.00560819 | + | 0.999984i | \(0.498215\pi\) | |||||||
\(572\) | −8.95885 | + | 0.333760i | −0.374588 | + | 0.0139552i | ||||
\(573\) | − | 2.35602i | − | 0.0984240i | ||||||
\(574\) | −5.57771 | + | 2.43299i | −0.232809 | + | 0.101551i | ||||
\(575\) | −0.0872185 | − | 6.44199i | −0.00363726 | − | 0.268649i | ||||
\(576\) | −6.78168 | + | 8.49547i | −0.282570 | + | 0.353978i | ||||
\(577\) | −28.7705 | + | 28.7705i | −1.19773 | + | 1.19773i | −0.222888 | + | 0.974844i | \(0.571549\pi\) |
−0.974844 | + | 0.222888i | \(0.928451\pi\) | |||||||
\(578\) | 50.2933 | + | 19.7434i | 2.09193 | + | 0.821217i | ||||
\(579\) | 7.92157 | + | 7.92157i | 0.329209 | + | 0.329209i | ||||
\(580\) | 14.1076 | + | 5.12877i | 0.585785 | + | 0.212960i | ||||
\(581\) | −3.72230 | + | 3.72230i | −0.154427 | + | 0.154427i | ||||
\(582\) | −1.67580 | − | 3.84182i | −0.0694641 | − | 0.159249i | ||||
\(583\) | 13.4704 | + | 13.4704i | 0.557888 | + | 0.557888i | ||||
\(584\) | −1.97389 | + | 5.63664i | −0.0816800 | + | 0.233246i | ||||
\(585\) | 1.56117 | − | 3.84237i | 0.0645466 | − | 0.158862i | ||||
\(586\) | 1.60718 | − | 4.09406i | 0.0663922 | − | 0.169124i | ||||
\(587\) | 33.4854 | 1.38209 | 0.691046 | − | 0.722811i | \(-0.257150\pi\) | ||||
0.691046 | + | 0.722811i | \(0.257150\pi\) | |||||||
\(588\) | 7.67276 | − | 8.26657i | 0.316419 | − | 0.340908i | ||||
\(589\) | −0.896933 | + | 0.896933i | −0.0369575 | + | 0.0369575i | ||||
\(590\) | 0.671477 | + | 26.4430i | 0.0276443 | + | 1.08864i | ||||
\(591\) | − | 7.11866i | − | 0.292822i | ||||||
\(592\) | −13.3427 | + | 0.995540i | −0.548381 | + | 0.0409164i | ||||
\(593\) | 11.5298 | + | 11.5298i | 0.473472 | + | 0.473472i | 0.903036 | − | 0.429564i | \(-0.141333\pi\) |
−0.429564 | + | 0.903036i | \(0.641333\pi\) | |||||||
\(594\) | −23.7697 | + | 10.3683i | −0.975284 | + | 0.425418i | ||||
\(595\) | −10.0803 | + | 24.8096i | −0.413250 | + | 1.01709i | ||||
\(596\) | 1.60097 | + | 42.9735i | 0.0655783 | + | 1.76026i | ||||
\(597\) | − | 8.92172i | − | 0.365142i | ||||||
\(598\) | 0.994503 | + | 2.27993i | 0.0406683 | + | 0.0932333i | ||||
\(599\) | − | 20.0148i | − | 0.817781i | −0.912583 | − | 0.408891i | \(-0.865916\pi\) | ||
0.912583 | − | 0.408891i | \(-0.134084\pi\) | |||||||
\(600\) | 17.1788 | + | 5.75594i | 0.701321 | + | 0.234985i | ||||
\(601\) | 27.5924i | 1.12552i | 0.826621 | + | 0.562759i | \(0.190260\pi\) | ||||
−0.826621 | + | 0.562759i | \(0.809740\pi\) | |||||||
\(602\) | 18.9062 | − | 8.24688i | 0.770560 | − | 0.336118i | ||||
\(603\) | − | 6.17806i | − | 0.251590i | ||||||
\(604\) | 15.6931 | + | 14.5658i | 0.638542 | + | 0.592673i | ||||
\(605\) | 0.182062 | − | 0.448093i | 0.00740188 | − | 0.0182176i | ||||
\(606\) | −6.80160 | − | 15.5929i | −0.276296 | − | 0.633418i | ||||
\(607\) | −30.4850 | − | 30.4850i | −1.23735 | − | 1.23735i | −0.961081 | − | 0.276265i | \(-0.910903\pi\) |
−0.276265 | − | 0.961081i | \(-0.589097\pi\) | |||||||
\(608\) | 13.8113 | + | 26.1579i | 0.560120 | + | 1.06084i | ||||
\(609\) | − | 6.93104i | − | 0.280860i | ||||||
\(610\) | 29.8376 | − | 0.757677i | 1.20809 | − | 0.0306774i | ||||
\(611\) | −10.7539 | + | 10.7539i | −0.435057 | + | 0.435057i | ||||
\(612\) | 20.1776 | − | 0.751714i | 0.815632 | − | 0.0303862i | ||||
\(613\) | −20.2657 | −0.818523 | −0.409261 | − | 0.912417i | \(-0.634214\pi\) | ||||
−0.409261 | + | 0.912417i | \(0.634214\pi\) | |||||||
\(614\) | 19.1762 | + | 7.52788i | 0.773887 | + | 0.303801i | ||||
\(615\) | 2.87859 | − | 7.08480i | 0.116076 | − | 0.285687i | ||||
\(616\) | 13.4901 | − | 6.49242i | 0.543530 | − | 0.261587i | ||||
\(617\) | 1.61302 | + | 1.61302i | 0.0649378 | + | 0.0649378i | 0.738830 | − | 0.673892i | \(-0.235379\pi\) |
−0.673892 | + | 0.738830i | \(0.735379\pi\) | |||||||
\(618\) | −3.80971 | + | 1.66179i | −0.153249 | + | 0.0668470i | ||||
\(619\) | −2.46756 | + | 2.46756i | −0.0991797 | + | 0.0991797i | −0.754956 | − | 0.655776i | \(-0.772342\pi\) |
0.655776 | + | 0.754956i | \(0.272342\pi\) | |||||||
\(620\) | −0.983026 | + | 0.458839i | −0.0394793 | + | 0.0184274i | ||||
\(621\) | 5.08771 | + | 5.08771i | 0.204163 | + | 0.204163i | ||||
\(622\) | 7.47114 | − | 19.0316i | 0.299565 | − | 0.763098i | ||||
\(623\) | −11.1377 | + | 11.1377i | −0.446222 | + | 0.446222i | ||||
\(624\) | −6.97551 | + | 0.520465i | −0.279244 | + | 0.0208353i | ||||
\(625\) | 0.676829 | + | 24.9908i | 0.0270732 | + | 0.999633i | ||||
\(626\) | −8.09815 | − | 18.5653i | −0.323667 | − | 0.742017i | ||||
\(627\) | 21.9984i | 0.878531i | ||||||||
\(628\) | −3.43879 | − | 3.19177i | −0.137222 | − | 0.127365i | ||||
\(629\) | 17.5737 | + | 17.5737i | 0.700708 | + | 0.700708i | ||||
\(630\) | 0.175816 | + | 6.92368i | 0.00700466 | + | 0.275846i | ||||
\(631\) | −29.9602 | −1.19270 | −0.596348 | − | 0.802726i | \(-0.703382\pi\) | ||||
−0.596348 | + | 0.802726i | \(0.703382\pi\) | |||||||
\(632\) | −26.2570 | + | 12.6368i | −1.04445 | + | 0.502666i | ||||
\(633\) | 6.96133 | − | 6.96133i | 0.276688 | − | 0.276688i | ||||
\(634\) | 7.17026 | − | 18.2652i | 0.284767 | − | 0.725402i | ||||
\(635\) | −8.96913 | − | 21.2455i | −0.355929 | − | 0.843101i | ||||
\(636\) | 10.8942 | + | 10.1116i | 0.431981 | + | 0.400950i | ||||
\(637\) | −6.00875 | −0.238075 | ||||||||
\(638\) | −5.69612 | + | 14.5100i | −0.225512 | + | 0.574457i | ||||
\(639\) | −20.9782 | −0.829885 | ||||||||
\(640\) | 3.45755 | + | 25.0608i | 0.136672 | + | 0.990616i | ||||
\(641\) | −37.3386 | −1.47478 | −0.737392 | − | 0.675465i | \(-0.763943\pi\) | ||||
−0.737392 | + | 0.675465i | \(0.763943\pi\) | |||||||
\(642\) | −2.41781 | + | 6.15901i | −0.0954234 | + | 0.243077i | ||||
\(643\) | 24.5635 | 0.968691 | 0.484345 | − | 0.874877i | \(-0.339058\pi\) | ||||
0.484345 | + | 0.874877i | \(0.339058\pi\) | |||||||
\(644\) | −3.04448 | − | 2.82579i | −0.119969 | − | 0.111352i | ||||
\(645\) | −9.75728 | + | 24.0147i | −0.384193 | + | 0.945577i | ||||
\(646\) | 20.0778 | − | 51.1453i | 0.789952 | − | 2.01229i | ||||
\(647\) | −23.1347 | + | 23.1347i | −0.909519 | + | 0.909519i | −0.996233 | − | 0.0867142i | \(-0.972363\pi\) |
0.0867142 | + | 0.996233i | \(0.472363\pi\) | |||||||
\(648\) | −7.84291 | + | 3.77459i | −0.308099 | + | 0.148280i | ||||
\(649\) | −27.4685 | −1.07823 | ||||||||
\(650\) | −3.97852 | − | 8.79406i | −0.156050 | − | 0.344932i | ||||
\(651\) | 0.354194 | + | 0.354194i | 0.0138820 | + | 0.0138820i | ||||
\(652\) | 4.01101 | + | 3.72289i | 0.157083 | + | 0.145800i | ||||
\(653\) | − | 50.8060i | − | 1.98819i | −0.108496 | − | 0.994097i | \(-0.534603\pi\) | ||
0.108496 | − | 0.994097i | \(-0.465397\pi\) | |||||||
\(654\) | 5.33469 | + | 12.2299i | 0.208603 | + | 0.478229i | ||||
\(655\) | −34.8993 | + | 14.7333i | −1.36363 | + | 0.575679i | ||||
\(656\) | 10.6486 | − | 0.794528i | 0.415759 | − | 0.0310211i | ||||
\(657\) | 2.02877 | − | 2.02877i | 0.0791497 | − | 0.0791497i | ||||
\(658\) | 9.28047 | − | 23.6406i | 0.361790 | − | 0.921607i | ||||
\(659\) | −9.97780 | − | 9.97780i | −0.388680 | − | 0.388680i | 0.485537 | − | 0.874216i | \(-0.338624\pi\) |
−0.874216 | + | 0.485537i | \(0.838624\pi\) | |||||||
\(660\) | −6.42816 | + | 17.6818i | −0.250216 | + | 0.688262i | ||||
\(661\) | −5.09643 | + | 5.09643i | −0.198228 | + | 0.198228i | −0.799240 | − | 0.601012i | \(-0.794764\pi\) |
0.601012 | + | 0.799240i | \(0.294764\pi\) | |||||||
\(662\) | −3.10648 | + | 1.35505i | −0.120737 | + | 0.0526653i | ||||
\(663\) | 9.18745 | + | 9.18745i | 0.356811 | + | 0.356811i | ||||
\(664\) | 8.32353 | − | 4.00590i | 0.323015 | − | 0.155459i | ||||
\(665\) | 17.4605 | + | 7.09428i | 0.677088 | + | 0.275104i | ||||
\(666\) | 5.98320 | + | 2.34879i | 0.231844 | + | 0.0910139i | ||||
\(667\) | 4.32496 | 0.167463 | ||||||||
\(668\) | −28.6399 | + | 1.06697i | −1.10811 | + | 0.0412825i | ||||
\(669\) | 11.0402 | − | 11.0402i | 0.426838 | − | 0.426838i | ||||
\(670\) | −10.4216 | − | 9.90543i | −0.402622 | − | 0.382680i | ||||
\(671\) | 30.9947i | 1.19654i | ||||||||
\(672\) | 10.3296 | − | 5.45399i | 0.398473 | − | 0.210392i | ||||
\(673\) | −31.6322 | − | 31.6322i | −1.21933 | − | 1.21933i | −0.967867 | − | 0.251464i | \(-0.919088\pi\) |
−0.251464 | − | 0.967867i | \(-0.580912\pi\) | |||||||
\(674\) | −7.62323 | − | 17.4765i | −0.293636 | − | 0.673169i | ||||
\(675\) | −20.0080 | − | 19.4735i | −0.770108 | − | 0.749534i | ||||
\(676\) | −16.3251 | − | 15.1524i | −0.627889 | − | 0.582786i | ||||
\(677\) | − | 25.6600i | − | 0.986196i | −0.869974 | − | 0.493098i | \(-0.835864\pi\) | ||
0.869974 | − | 0.493098i | \(-0.164136\pi\) | |||||||
\(678\) | 10.0493 | − | 4.38350i | 0.385942 | − | 0.168347i | ||||
\(679\) | − | 3.72896i | − | 0.143104i | ||||||
\(680\) | 31.0833 | − | 35.2424i | 1.19199 | − | 1.35148i | ||||
\(681\) | − | 7.71190i | − | 0.295521i | ||||||
\(682\) | −0.450413 | − | 1.03259i | −0.0172472 | − | 0.0395397i | ||||
\(683\) | 12.3536i | 0.472698i | 0.971668 | + | 0.236349i | \(0.0759509\pi\) | ||||
−0.971668 | + | 0.236349i | \(0.924049\pi\) | |||||||
\(684\) | −0.529041 | − | 14.2006i | −0.0202284 | − | 0.542974i | ||||
\(685\) | −6.06048 | − | 14.3557i | −0.231559 | − | 0.548501i | ||||
\(686\) | 23.8230 | − | 10.3915i | 0.909564 | − | 0.396751i | ||||
\(687\) | −0.728309 | − | 0.728309i | −0.0277867 | − | 0.0277867i | ||||
\(688\) | −36.0946 | + | 2.69314i | −1.37610 | + | 0.102675i | ||||
\(689\) | − | 7.91866i | − | 0.301677i | ||||||
\(690\) | 5.21833 | − | 0.132511i | 0.198658 | − | 0.00504461i | ||||
\(691\) | 22.5426 | − | 22.5426i | 0.857561 | − | 0.857561i | −0.133489 | − | 0.991050i | \(-0.542618\pi\) |
0.991050 | + | 0.133489i | \(0.0426180\pi\) | |||||||
\(692\) | −11.9676 | + | 12.8938i | −0.454938 | + | 0.490147i | ||||
\(693\) | −7.19219 | −0.273209 | ||||||||
\(694\) | 3.44831 | − | 8.78406i | 0.130896 | − | 0.333438i | ||||
\(695\) | 30.0114 | − | 12.6698i | 1.13840 | − | 0.480593i | ||||
\(696\) | −4.01978 | + | 11.4789i | −0.152369 | + | 0.435107i | ||||
\(697\) | −14.0253 | − | 14.0253i | −0.531247 | − | 0.531247i | ||||
\(698\) | 1.62021 | + | 3.71438i | 0.0613258 | + | 0.140591i | ||||
\(699\) | 16.2673 | − | 16.2673i | 0.615285 | − | 0.615285i | ||||
\(700\) | 11.9613 | + | 10.8043i | 0.452094 | + | 0.408365i | ||||
\(701\) | 26.9530 | + | 26.9530i | 1.01800 | + | 1.01800i | 0.999835 | + | 0.0181663i | \(0.00578284\pi\) |
0.0181663 | + | 0.999835i | \(0.494217\pi\) | |||||||
\(702\) | 10.0341 | + | 3.93904i | 0.378714 | + | 0.148670i | ||||
\(703\) | 12.3680 | − | 12.3680i | 0.466467 | − | 0.466467i | ||||
\(704\) | −26.1071 | + | 2.92869i | −0.983947 | + | 0.110379i | ||||
\(705\) | 12.4131 | + | 29.4032i | 0.467503 | + | 1.10739i | ||||
\(706\) | 9.83583 | − | 4.29038i | 0.370176 | − | 0.161471i | ||||
\(707\) | − | 15.1348i | − | 0.569203i | ||||||
\(708\) | −21.4171 | + | 0.797891i | −0.804905 | + | 0.0299866i | ||||
\(709\) | 7.78615 | + | 7.78615i | 0.292415 | + | 0.292415i | 0.838034 | − | 0.545619i | \(-0.183705\pi\) |
−0.545619 | + | 0.838034i | \(0.683705\pi\) | |||||||
\(710\) | −33.6349 | + | 35.3876i | −1.26229 | + | 1.32807i | ||||
\(711\) | 13.9988 | 0.524997 | ||||||||
\(712\) | 24.9053 | − | 11.9863i | 0.933365 | − | 0.449205i | ||||
\(713\) | −0.221016 | + | 0.221016i | −0.00827713 | + | 0.00827713i | ||||
\(714\) | −20.1970 | − | 7.92863i | −0.755854 | − | 0.296721i | ||||
\(715\) | 9.23410 | − | 3.89833i | 0.345336 | − | 0.145789i | ||||
\(716\) | −0.697158 | − | 18.7132i | −0.0260540 | − | 0.699346i | ||||
\(717\) | 2.28427 | 0.0853076 | ||||||||
\(718\) | −10.2169 | − | 4.01079i | −0.381291 | − | 0.149681i | ||||
\(719\) | 20.6777 | 0.771150 | 0.385575 | − | 0.922677i | \(-0.374003\pi\) | ||||
0.385575 | + | 0.922677i | \(0.374003\pi\) | |||||||
\(720\) | 3.72433 | − | 11.5687i | 0.138798 | − | 0.431139i | ||||
\(721\) | −3.69779 | −0.137713 | ||||||||
\(722\) | −10.9832 | − | 4.31161i | −0.408751 | − | 0.160461i | ||||
\(723\) | 13.3797 | 0.497597 | ||||||||
\(724\) | 16.5161 | − | 0.615306i | 0.613817 | − | 0.0228677i | ||||
\(725\) | −16.7812 | + | 0.227201i | −0.623237 | + | 0.00843805i | ||||
\(726\) | 0.364783 | + | 0.143201i | 0.0135384 | + | 0.00531469i | ||||
\(727\) | 20.4994 | − | 20.4994i | 0.760280 | − | 0.760280i | −0.216093 | − | 0.976373i | \(-0.569331\pi\) |
0.976373 | + | 0.216093i | \(0.0693315\pi\) | |||||||
\(728\) | −5.87341 | − | 2.05680i | −0.217683 | − | 0.0762301i | ||||
\(729\) | 25.6425 | 0.949722 | ||||||||
\(730\) | −0.169502 | − | 6.67505i | −0.00627355 | − | 0.247055i | ||||
\(731\) | 47.5403 | + | 47.5403i | 1.75834 | + | 1.75834i | ||||
\(732\) | 0.900320 | + | 24.1665i | 0.0332768 | + | 0.893221i | ||||
\(733\) | 10.7306i | 0.396344i | 0.980167 | + | 0.198172i | \(0.0635005\pi\) | ||||
−0.980167 | + | 0.198172i | \(0.936500\pi\) | |||||||
\(734\) | −33.0956 | + | 14.4363i | −1.22158 | + | 0.532853i | ||||
\(735\) | −4.74663 | + | 11.6824i | −0.175082 | + | 0.430912i | ||||
\(736\) | 3.40328 | + | 6.44565i | 0.125447 | + | 0.237590i | ||||
\(737\) | 10.5577 | − | 10.5577i | 0.388897 | − | 0.388897i | ||||
\(738\) | −4.77511 | − | 1.87454i | −0.175774 | − | 0.0690028i | ||||
\(739\) | 2.93837 | + | 2.93837i | 0.108090 | + | 0.108090i | 0.759083 | − | 0.650994i | \(-0.225648\pi\) |
−0.650994 | + | 0.759083i | \(0.725648\pi\) | |||||||
\(740\) | 13.5551 | − | 6.32702i | 0.498296 | − | 0.232586i | ||||
\(741\) | 6.46594 | − | 6.46594i | 0.237532 | − | 0.237532i | ||||
\(742\) | 5.28705 | + | 12.1207i | 0.194094 | + | 0.444966i | ||||
\(743\) | −0.223404 | − | 0.223404i | −0.00819590 | − | 0.00819590i | 0.702997 | − | 0.711193i | \(-0.251845\pi\) |
−0.711193 | + | 0.702997i | \(0.751845\pi\) | |||||||
\(744\) | −0.381180 | − | 0.792022i | −0.0139747 | − | 0.0290369i | ||||
\(745\) | −18.6994 | − | 44.2938i | −0.685091 | − | 1.62280i | ||||
\(746\) | 2.25416 | − | 5.74215i | 0.0825308 | − | 0.210235i | ||||
\(747\) | −4.43766 | −0.162366 | ||||||||
\(748\) | 35.7661 | + | 33.1969i | 1.30774 | + | 1.21380i | ||||
\(749\) | −4.16243 | + | 4.16243i | −0.152092 | + | 0.152092i | ||||
\(750\) | −20.2406 | + | 0.788286i | −0.739081 | + | 0.0287841i | ||||
\(751\) | − | 39.9939i | − | 1.45940i | −0.683769 | − | 0.729699i | \(-0.739660\pi\) | ||
0.683769 | − | 0.729699i | \(-0.260340\pi\) | |||||||
\(752\) | −29.0807 | + | 33.7702i | −1.06046 | + | 1.23147i | ||||
\(753\) | −16.2055 | − | 16.2055i | −0.590563 | − | 0.590563i | ||||
\(754\) | 5.93915 | − | 2.59065i | 0.216291 | − | 0.0943459i | ||||
\(755\) | −22.1776 | − | 9.01088i | −0.807126 | − | 0.327939i | ||||
\(756\) | −17.9888 | + | 0.670168i | −0.654245 | + | 0.0243738i | ||||
\(757\) | − | 32.9120i | − | 1.19621i | −0.801419 | − | 0.598103i | \(-0.795921\pi\) | ||
0.801419 | − | 0.598103i | \(-0.204079\pi\) | |||||||
\(758\) | −4.74241 | − | 10.8721i | −0.172252 | − | 0.394894i | ||||
\(759\) | 5.42070i | 0.196759i | ||||||||
\(760\) | −24.8029 | − | 21.8758i | −0.899694 | − | 0.793517i | ||||
\(761\) | 33.9591i | 1.23102i | 0.788130 | + | 0.615509i | \(0.211049\pi\) | ||||
−0.788130 | + | 0.615509i | \(0.788951\pi\) | |||||||
\(762\) | 17.1266 | − | 7.47058i | 0.620430 | − | 0.270631i | ||||
\(763\) | 11.8707i | 0.429747i | ||||||||
\(764\) | −2.50220 | + | 2.69585i | −0.0905263 | + | 0.0975324i | ||||
\(765\) | −20.7976 | + | 8.78003i | −0.751937 | + | 0.317443i | ||||
\(766\) | −15.4602 | − | 35.4429i | −0.558598 | − | 1.28060i | ||||
\(767\) |