Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [126,2,Mod(5,126)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(126, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("126.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 126 = 2 \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 126.l (of order \(6\), 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: | \(1.00611506547\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 8 x^{15} + 23 x^{14} - 8 x^{13} - 131 x^{12} + 380 x^{11} - 289 x^{10} - 880 x^{9} + 2785 x^{8} - 2640 x^{7} - 2601 x^{6} + 10260 x^{5} - 10611 x^{4} - 1944 x^{3} + \cdots + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 5.8 | ||
Root | \(1.58110 + 0.707199i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 126.5 |
Dual form | 126.2.l.a.101.4 |
$q$-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 \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000i | 0.707107i | ||||||||
\(3\) | 1.64774 | + | 0.533822i | 0.951321 | + | 0.308202i | ||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | −0.450129 | − | 0.779646i | −0.201304 | − | 0.348668i | 0.747645 | − | 0.664099i | \(-0.231185\pi\) |
−0.948949 | + | 0.315430i | \(0.897851\pi\) | |||||||
\(6\) | −0.533822 | + | 1.64774i | −0.217932 | + | 0.672685i | ||||
\(7\) | 1.57151 | + | 2.12847i | 0.593974 | + | 0.804485i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 2.43007 | + | 1.75919i | 0.810023 | + | 0.586398i | ||||
\(10\) | 0.779646 | − | 0.450129i | 0.246546 | − | 0.142343i | ||||
\(11\) | −2.70900 | − | 1.56404i | −0.816795 | − | 0.471577i | 0.0325150 | − | 0.999471i | \(-0.489648\pi\) |
−0.849310 | + | 0.527894i | \(0.822982\pi\) | |||||||
\(12\) | −1.64774 | − | 0.533822i | −0.475660 | − | 0.154101i | ||||
\(13\) | −1.99033 | − | 1.14912i | −0.552019 | − | 0.318708i | 0.197917 | − | 0.980219i | \(-0.436582\pi\) |
−0.749936 | + | 0.661511i | \(0.769916\pi\) | |||||||
\(14\) | −2.12847 | + | 1.57151i | −0.568856 | + | 0.420003i | ||||
\(15\) | −0.325502 | − | 1.52494i | −0.0840442 | − | 0.393738i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −2.57638 | − | 4.46242i | −0.624863 | − | 1.08230i | −0.988567 | − | 0.150780i | \(-0.951821\pi\) |
0.363704 | − | 0.931515i | \(-0.381512\pi\) | |||||||
\(18\) | −1.75919 | + | 2.43007i | −0.414646 | + | 0.572773i | ||||
\(19\) | 2.38111 | + | 1.37474i | 0.546264 | + | 0.315386i | 0.747614 | − | 0.664134i | \(-0.231199\pi\) |
−0.201350 | + | 0.979519i | \(0.564533\pi\) | |||||||
\(20\) | 0.450129 | + | 0.779646i | 0.100652 | + | 0.174334i | ||||
\(21\) | 1.45321 | + | 4.34605i | 0.317116 | + | 0.948387i | ||||
\(22\) | 1.56404 | − | 2.70900i | 0.333455 | − | 0.577561i | ||||
\(23\) | −1.48584 | + | 0.857850i | −0.309819 | + | 0.178874i | −0.646845 | − | 0.762621i | \(-0.723912\pi\) |
0.337027 | + | 0.941495i | \(0.390579\pi\) | |||||||
\(24\) | 0.533822 | − | 1.64774i | 0.108966 | − | 0.336343i | ||||
\(25\) | 2.09477 | − | 3.62824i | 0.418954 | − | 0.725649i | ||||
\(26\) | 1.14912 | − | 1.99033i | 0.225361 | − | 0.390336i | ||||
\(27\) | 3.06502 | + | 4.19591i | 0.589863 | + | 0.807504i | ||||
\(28\) | −1.57151 | − | 2.12847i | −0.296987 | − | 0.402242i | ||||
\(29\) | −1.85590 | + | 1.07151i | −0.344633 | + | 0.198974i | −0.662319 | − | 0.749222i | \(-0.730428\pi\) |
0.317686 | + | 0.948196i | \(0.397094\pi\) | |||||||
\(30\) | 1.52494 | − | 0.325502i | 0.278415 | − | 0.0594282i | ||||
\(31\) | − | 10.0032i | − | 1.79662i | −0.439363 | − | 0.898309i | \(-0.644796\pi\) | ||
0.439363 | − | 0.898309i | \(-0.355204\pi\) | |||||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | −3.62880 | − | 4.02326i | −0.631693 | − | 0.700359i | ||||
\(34\) | 4.46242 | − | 2.57638i | 0.765298 | − | 0.441845i | ||||
\(35\) | 0.952070 | − | 2.18330i | 0.160929 | − | 0.369046i | ||||
\(36\) | −2.43007 | − | 1.75919i | −0.405011 | − | 0.293199i | ||||
\(37\) | −4.73701 | + | 8.20475i | −0.778760 | + | 1.34885i | 0.153896 | + | 0.988087i | \(0.450818\pi\) |
−0.932657 | + | 0.360766i | \(0.882515\pi\) | |||||||
\(38\) | −1.37474 | + | 2.38111i | −0.223012 | + | 0.386267i | ||||
\(39\) | −2.66612 | − | 2.95593i | −0.426921 | − | 0.473327i | ||||
\(40\) | −0.779646 | + | 0.450129i | −0.123273 | + | 0.0711716i | ||||
\(41\) | 1.22134 | − | 2.11542i | 0.190741 | − | 0.330373i | −0.754755 | − | 0.656007i | \(-0.772244\pi\) |
0.945496 | + | 0.325634i | \(0.105578\pi\) | |||||||
\(42\) | −4.34605 | + | 1.45321i | −0.670611 | + | 0.224235i | ||||
\(43\) | −0.273155 | − | 0.473119i | −0.0416558 | − | 0.0721499i | 0.844446 | − | 0.535641i | \(-0.179930\pi\) |
−0.886102 | + | 0.463491i | \(0.846597\pi\) | |||||||
\(44\) | 2.70900 | + | 1.56404i | 0.408397 | + | 0.235788i | ||||
\(45\) | 0.277705 | − | 2.68646i | 0.0413979 | − | 0.400474i | ||||
\(46\) | −0.857850 | − | 1.48584i | −0.126483 | − | 0.219075i | ||||
\(47\) | 7.86068 | 1.14660 | 0.573299 | − | 0.819346i | \(-0.305663\pi\) | ||||
0.573299 | + | 0.819346i | \(0.305663\pi\) | |||||||
\(48\) | 1.64774 | + | 0.533822i | 0.237830 | + | 0.0770505i | ||||
\(49\) | −2.06074 | + | 6.68980i | −0.294391 | + | 0.955685i | ||||
\(50\) | 3.62824 | + | 2.09477i | 0.513111 | + | 0.296245i | ||||
\(51\) | −1.86306 | − | 8.72821i | −0.260880 | − | 1.22219i | ||||
\(52\) | 1.99033 | + | 1.14912i | 0.276009 | + | 0.159354i | ||||
\(53\) | −12.0733 | + | 6.97054i | −1.65840 | + | 0.957478i | −0.684947 | + | 0.728593i | \(0.740175\pi\) |
−0.973454 | + | 0.228885i | \(0.926492\pi\) | |||||||
\(54\) | −4.19591 | + | 3.06502i | −0.570991 | + | 0.417096i | ||||
\(55\) | 2.81608i | 0.379721i | ||||||||
\(56\) | 2.12847 | − | 1.57151i | 0.284428 | − | 0.210001i | ||||
\(57\) | 3.18958 | + | 3.53629i | 0.422470 | + | 0.468393i | ||||
\(58\) | −1.07151 | − | 1.85590i | −0.140696 | − | 0.243692i | ||||
\(59\) | 7.98443 | 1.03948 | 0.519742 | − | 0.854323i | \(-0.326028\pi\) | ||||
0.519742 | + | 0.854323i | \(0.326028\pi\) | |||||||
\(60\) | 0.325502 | + | 1.52494i | 0.0420221 | + | 0.196869i | ||||
\(61\) | 7.25411i | 0.928793i | 0.885627 | + | 0.464397i | \(0.153729\pi\) | ||||
−0.885627 | + | 0.464397i | \(0.846271\pi\) | |||||||
\(62\) | 10.0032 | 1.27040 | ||||||||
\(63\) | 0.0744824 | + | 7.93690i | 0.00938390 | + | 0.999956i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 2.06901i | 0.256629i | ||||||||
\(66\) | 4.02326 | − | 3.62880i | 0.495228 | − | 0.446675i | ||||
\(67\) | 3.67050 | 0.448423 | 0.224212 | − | 0.974540i | \(-0.428019\pi\) | ||||
0.224212 | + | 0.974540i | \(0.428019\pi\) | |||||||
\(68\) | 2.57638 | + | 4.46242i | 0.312432 | + | 0.541148i | ||||
\(69\) | −2.90621 | + | 0.620337i | −0.349867 | + | 0.0746798i | ||||
\(70\) | 2.18330 | + | 0.952070i | 0.260955 | + | 0.113794i | ||||
\(71\) | 14.1484i | 1.67911i | 0.543275 | + | 0.839555i | \(0.317184\pi\) | ||||
−0.543275 | + | 0.839555i | \(0.682816\pi\) | |||||||
\(72\) | 1.75919 | − | 2.43007i | 0.207323 | − | 0.286386i | ||||
\(73\) | −10.9190 | + | 6.30409i | −1.27797 | + | 0.737838i | −0.976475 | − | 0.215629i | \(-0.930820\pi\) |
−0.301498 | + | 0.953467i | \(0.597487\pi\) | |||||||
\(74\) | −8.20475 | − | 4.73701i | −0.953783 | − | 0.550667i | ||||
\(75\) | 5.38846 | − | 4.86016i | 0.622206 | − | 0.561203i | ||||
\(76\) | −2.38111 | − | 1.37474i | −0.273132 | − | 0.157693i | ||||
\(77\) | −0.928202 | − | 8.22392i | −0.105778 | − | 0.937203i | ||||
\(78\) | 2.95593 | − | 2.66612i | 0.334693 | − | 0.301878i | ||||
\(79\) | −6.54804 | −0.736712 | −0.368356 | − | 0.929685i | \(-0.620079\pi\) | ||||
−0.368356 | + | 0.929685i | \(0.620079\pi\) | |||||||
\(80\) | −0.450129 | − | 0.779646i | −0.0503259 | − | 0.0871671i | ||||
\(81\) | 2.81047 | + | 8.54993i | 0.312274 | + | 0.949992i | ||||
\(82\) | 2.11542 | + | 1.22134i | 0.233609 | + | 0.134874i | ||||
\(83\) | 0.184437 | + | 0.319454i | 0.0202446 | + | 0.0350646i | 0.875970 | − | 0.482365i | \(-0.160222\pi\) |
−0.855726 | + | 0.517430i | \(0.826889\pi\) | |||||||
\(84\) | −1.45321 | − | 4.34605i | −0.158558 | − | 0.474193i | ||||
\(85\) | −2.31940 | + | 4.01733i | −0.251575 | + | 0.435740i | ||||
\(86\) | 0.473119 | − | 0.273155i | 0.0510177 | − | 0.0294551i | ||||
\(87\) | −3.63003 | + | 0.774838i | −0.389180 | + | 0.0830714i | ||||
\(88\) | −1.56404 | + | 2.70900i | −0.166728 | + | 0.288781i | ||||
\(89\) | 6.00244 | − | 10.3965i | 0.636258 | − | 1.10203i | −0.349990 | − | 0.936754i | \(-0.613815\pi\) |
0.986247 | − | 0.165277i | \(-0.0528518\pi\) | |||||||
\(90\) | 2.68646 | + | 0.277705i | 0.283178 | + | 0.0292727i | ||||
\(91\) | −0.681960 | − | 6.04220i | −0.0714888 | − | 0.633395i | ||||
\(92\) | 1.48584 | − | 0.857850i | 0.154909 | − | 0.0894370i | ||||
\(93\) | 5.33990 | − | 16.4826i | 0.553722 | − | 1.70916i | ||||
\(94\) | 7.86068i | 0.810767i | ||||||||
\(95\) | − | 2.47523i | − | 0.253953i | ||||||
\(96\) | −0.533822 | + | 1.64774i | −0.0544830 | + | 0.168171i | ||||
\(97\) | 8.86815 | − | 5.12003i | 0.900424 | − | 0.519860i | 0.0230864 | − | 0.999733i | \(-0.492651\pi\) |
0.877338 | + | 0.479873i | \(0.159317\pi\) | |||||||
\(98\) | −6.68980 | − | 2.06074i | −0.675771 | − | 0.208166i | ||||
\(99\) | −3.83161 | − | 8.56640i | −0.385091 | − | 0.860955i | ||||
\(100\) | −2.09477 | + | 3.62824i | −0.209477 | + | 0.362824i | ||||
\(101\) | −1.35969 | + | 2.35506i | −0.135294 | + | 0.234337i | −0.925710 | − | 0.378234i | \(-0.876531\pi\) |
0.790415 | + | 0.612571i | \(0.209865\pi\) | |||||||
\(102\) | 8.72821 | − | 1.86306i | 0.864222 | − | 0.184470i | ||||
\(103\) | 1.18861 | − | 0.686242i | 0.117117 | − | 0.0676174i | −0.440297 | − | 0.897852i | \(-0.645127\pi\) |
0.557414 | + | 0.830235i | \(0.311794\pi\) | |||||||
\(104\) | −1.14912 | + | 1.99033i | −0.112680 | + | 0.195168i | ||||
\(105\) | 2.73425 | − | 3.08927i | 0.266836 | − | 0.301482i | ||||
\(106\) | −6.97054 | − | 12.0733i | −0.677039 | − | 1.17267i | ||||
\(107\) | 12.3585 | + | 7.13519i | 1.19474 | + | 0.689785i | 0.959378 | − | 0.282122i | \(-0.0910385\pi\) |
0.235364 | + | 0.971907i | \(0.424372\pi\) | |||||||
\(108\) | −3.06502 | − | 4.19591i | −0.294931 | − | 0.403752i | ||||
\(109\) | −2.64583 | − | 4.58271i | −0.253425 | − | 0.438944i | 0.711042 | − | 0.703150i | \(-0.248224\pi\) |
−0.964466 | + | 0.264206i | \(0.914890\pi\) | |||||||
\(110\) | −2.81608 | −0.268503 | ||||||||
\(111\) | −12.1852 | + | 10.9905i | −1.15657 | + | 1.04318i | ||||
\(112\) | 1.57151 | + | 2.12847i | 0.148493 | + | 0.201121i | ||||
\(113\) | −2.30371 | − | 1.33005i | −0.216715 | − | 0.125121i | 0.387713 | − | 0.921780i | \(-0.373265\pi\) |
−0.604428 | + | 0.796659i | \(0.706598\pi\) | |||||||
\(114\) | −3.53629 | + | 3.18958i | −0.331204 | + | 0.298732i | ||||
\(115\) | 1.33764 | + | 0.772286i | 0.124735 | + | 0.0720160i | ||||
\(116\) | 1.85590 | − | 1.07151i | 0.172316 | − | 0.0994869i | ||||
\(117\) | −2.81512 | − | 6.29382i | −0.260258 | − | 0.581864i | ||||
\(118\) | 7.98443i | 0.735026i | ||||||||
\(119\) | 5.44931 | − | 12.4964i | 0.499537 | − | 1.14555i | ||||
\(120\) | −1.52494 | + | 0.325502i | −0.139207 | + | 0.0297141i | ||||
\(121\) | −0.607537 | − | 1.05229i | −0.0552307 | − | 0.0956623i | ||||
\(122\) | −7.25411 | −0.656756 | ||||||||
\(123\) | 3.14170 | − | 2.83368i | 0.283277 | − | 0.255504i | ||||
\(124\) | 10.0032i | 0.898309i | ||||||||
\(125\) | −8.27295 | −0.739955 | ||||||||
\(126\) | −7.93690 | + | 0.0744824i | −0.707076 | + | 0.00663542i | ||||
\(127\) | 6.10587 | 0.541808 | 0.270904 | − | 0.962606i | \(-0.412677\pi\) | ||||
0.270904 | + | 0.962606i | \(0.412677\pi\) | |||||||
\(128\) | − | 1.00000i | − | 0.0883883i | ||||||
\(129\) | −0.197527 | − | 0.925391i | −0.0173913 | − | 0.0814761i | ||||
\(130\) | −2.06901 | −0.181464 | ||||||||
\(131\) | −3.97879 | − | 6.89147i | −0.347629 | − | 0.602111i | 0.638199 | − | 0.769871i | \(-0.279680\pi\) |
−0.985828 | + | 0.167761i | \(0.946346\pi\) | |||||||
\(132\) | 3.62880 | + | 4.02326i | 0.315847 | + | 0.350179i | ||||
\(133\) | 0.815855 | + | 7.22852i | 0.0707436 | + | 0.626792i | ||||
\(134\) | 3.67050i | 0.317083i | ||||||||
\(135\) | 1.89167 | − | 4.27833i | 0.162809 | − | 0.368220i | ||||
\(136\) | −4.46242 | + | 2.57638i | −0.382649 | + | 0.220923i | ||||
\(137\) | 18.9140 | + | 10.9200i | 1.61593 | + | 0.932957i | 0.987958 | + | 0.154719i | \(0.0494473\pi\) |
0.627970 | + | 0.778237i | \(0.283886\pi\) | |||||||
\(138\) | −0.620337 | − | 2.90621i | −0.0528066 | − | 0.247393i | ||||
\(139\) | −11.7109 | − | 6.76127i | −0.993302 | − | 0.573483i | −0.0870425 | − | 0.996205i | \(-0.527742\pi\) |
−0.906260 | + | 0.422721i | \(0.861075\pi\) | |||||||
\(140\) | −0.952070 | + | 2.18330i | −0.0804646 | + | 0.184523i | ||||
\(141\) | 12.9523 | + | 4.19620i | 1.09078 | + | 0.353384i | ||||
\(142\) | −14.1484 | −1.18731 | ||||||||
\(143\) | 3.59454 | + | 6.22593i | 0.300591 | + | 0.520639i | ||||
\(144\) | 2.43007 | + | 1.75919i | 0.202506 | + | 0.146600i | ||||
\(145\) | 1.67079 | + | 0.964632i | 0.138752 | + | 0.0801083i | ||||
\(146\) | −6.30409 | − | 10.9190i | −0.521730 | − | 0.903663i | ||||
\(147\) | −6.96671 | + | 9.92295i | −0.574604 | + | 0.818431i | ||||
\(148\) | 4.73701 | − | 8.20475i | 0.389380 | − | 0.674426i | ||||
\(149\) | −4.41192 | + | 2.54722i | −0.361438 | + | 0.208676i | −0.669711 | − | 0.742621i | \(-0.733582\pi\) |
0.308273 | + | 0.951298i | \(0.400249\pi\) | |||||||
\(150\) | 4.86016 | + | 5.38846i | 0.396830 | + | 0.439966i | ||||
\(151\) | 10.5877 | − | 18.3385i | 0.861618 | − | 1.49237i | −0.00874783 | − | 0.999962i | \(-0.502785\pi\) |
0.870366 | − | 0.492405i | \(-0.163882\pi\) | |||||||
\(152\) | 1.37474 | − | 2.38111i | 0.111506 | − | 0.193134i | ||||
\(153\) | 1.58949 | − | 15.3763i | 0.128502 | − | 1.24310i | ||||
\(154\) | 8.22392 | − | 0.928202i | 0.662703 | − | 0.0747966i | ||||
\(155\) | −7.79892 | + | 4.50271i | −0.626424 | + | 0.361666i | ||||
\(156\) | 2.66612 | + | 2.95593i | 0.213460 | + | 0.236664i | ||||
\(157\) | 0.359924i | 0.0287250i | 0.999897 | + | 0.0143625i | \(0.00457189\pi\) | ||||
−0.999897 | + | 0.0143625i | \(0.995428\pi\) | |||||||
\(158\) | − | 6.54804i | − | 0.520934i | ||||||
\(159\) | −23.6147 | + | 5.04061i | −1.87277 | + | 0.399746i | ||||
\(160\) | 0.779646 | − | 0.450129i | 0.0616364 | − | 0.0355858i | ||||
\(161\) | −4.16091 | − | 1.81444i | −0.327926 | − | 0.142998i | ||||
\(162\) | −8.54993 | + | 2.81047i | −0.671746 | + | 0.220811i | ||||
\(163\) | 6.18640 | − | 10.7152i | 0.484557 | − | 0.839277i | −0.515286 | − | 0.857018i | \(-0.672314\pi\) |
0.999843 | + | 0.0177416i | \(0.00564762\pi\) | |||||||
\(164\) | −1.22134 | + | 2.11542i | −0.0953705 | + | 0.165186i | ||||
\(165\) | −1.50329 | + | 4.64016i | −0.117031 | + | 0.361236i | ||||
\(166\) | −0.319454 | + | 0.184437i | −0.0247944 | + | 0.0143151i | ||||
\(167\) | −7.40866 | + | 12.8322i | −0.573299 | + | 0.992984i | 0.422925 | + | 0.906165i | \(0.361003\pi\) |
−0.996224 | + | 0.0868188i | \(0.972330\pi\) | |||||||
\(168\) | 4.34605 | − | 1.45321i | 0.335305 | − | 0.112117i | ||||
\(169\) | −3.85905 | − | 6.68407i | −0.296850 | − | 0.514159i | ||||
\(170\) | −4.01733 | − | 2.31940i | −0.308115 | − | 0.177890i | ||||
\(171\) | 3.36784 | + | 7.52954i | 0.257545 | + | 0.575798i | ||||
\(172\) | 0.273155 | + | 0.473119i | 0.0208279 | + | 0.0360750i | ||||
\(173\) | 4.63544 | 0.352426 | 0.176213 | − | 0.984352i | \(-0.443615\pi\) | ||||
0.176213 | + | 0.984352i | \(0.443615\pi\) | |||||||
\(174\) | −0.774838 | − | 3.63003i | −0.0587403 | − | 0.275192i | ||||
\(175\) | 11.0145 | − | 1.24317i | 0.832621 | − | 0.0939746i | ||||
\(176\) | −2.70900 | − | 1.56404i | −0.204199 | − | 0.117894i | ||||
\(177\) | 13.1562 | + | 4.26226i | 0.988883 | + | 0.320371i | ||||
\(178\) | 10.3965 | + | 6.00244i | 0.779253 | + | 0.449902i | ||||
\(179\) | −5.25855 | + | 3.03602i | −0.393042 | + | 0.226923i | −0.683477 | − | 0.729972i | \(-0.739533\pi\) |
0.290435 | + | 0.956895i | \(0.406200\pi\) | |||||||
\(180\) | −0.277705 | + | 2.68646i | −0.0206989 | + | 0.200237i | ||||
\(181\) | − | 7.12701i | − | 0.529746i | −0.964283 | − | 0.264873i | \(-0.914670\pi\) | ||
0.964283 | − | 0.264873i | \(-0.0853301\pi\) | |||||||
\(182\) | 6.04220 | − | 0.681960i | 0.447878 | − | 0.0505502i | ||||
\(183\) | −3.87240 | + | 11.9529i | −0.286256 | + | 0.883581i | ||||
\(184\) | 0.857850 | + | 1.48584i | 0.0632415 | + | 0.109538i | ||||
\(185\) | 8.52907 | 0.627070 | ||||||||
\(186\) | 16.4826 | + | 5.33990i | 1.20856 | + | 0.391540i | ||||
\(187\) | 16.1183i | 1.17868i | ||||||||
\(188\) | −7.86068 | −0.573299 | ||||||||
\(189\) | −4.11416 | + | 13.1177i | −0.299261 | + | 0.954171i | ||||
\(190\) | 2.47523 | 0.179572 | ||||||||
\(191\) | 14.4006i | 1.04199i | 0.853558 | + | 0.520997i | \(0.174440\pi\) | ||||
−0.853558 | + | 0.520997i | \(0.825560\pi\) | |||||||
\(192\) | −1.64774 | − | 0.533822i | −0.118915 | − | 0.0385253i | ||||
\(193\) | 17.8115 | 1.28210 | 0.641048 | − | 0.767501i | \(-0.278500\pi\) | ||||
0.641048 | + | 0.767501i | \(0.278500\pi\) | |||||||
\(194\) | 5.12003 | + | 8.86815i | 0.367597 | + | 0.636696i | ||||
\(195\) | −1.10448 | + | 3.40918i | −0.0790935 | + | 0.244136i | ||||
\(196\) | 2.06074 | − | 6.68980i | 0.147195 | − | 0.477843i | ||||
\(197\) | − | 19.1025i | − | 1.36100i | −0.732750 | − | 0.680498i | \(-0.761764\pi\) | ||
0.732750 | − | 0.680498i | \(-0.238236\pi\) | |||||||
\(198\) | 8.56640 | − | 3.83161i | 0.608787 | − | 0.272300i | ||||
\(199\) | 11.6008 | − | 6.69771i | 0.822357 | − | 0.474788i | −0.0288716 | − | 0.999583i | \(-0.509191\pi\) |
0.851229 | + | 0.524795i | \(0.175858\pi\) | |||||||
\(200\) | −3.62824 | − | 2.09477i | −0.256556 | − | 0.148122i | ||||
\(201\) | 6.04802 | + | 1.95940i | 0.426595 | + | 0.138205i | ||||
\(202\) | −2.35506 | − | 1.35969i | −0.165701 | − | 0.0956677i | ||||
\(203\) | −5.19723 | − | 2.26635i | −0.364774 | − | 0.159066i | ||||
\(204\) | 1.86306 | + | 8.72821i | 0.130440 | + | 0.611097i | ||||
\(205\) | −2.19904 | −0.153587 | ||||||||
\(206\) | 0.686242 | + | 1.18861i | 0.0478127 | + | 0.0828141i | ||||
\(207\) | −5.11982 | − | 0.529247i | −0.355852 | − | 0.0367852i | ||||
\(208\) | −1.99033 | − | 1.14912i | −0.138005 | − | 0.0796771i | ||||
\(209\) | −4.30029 | − | 7.44832i | −0.297457 | − | 0.515211i | ||||
\(210\) | 3.08927 | + | 2.73425i | 0.213180 | + | 0.188681i | ||||
\(211\) | −9.37193 | + | 16.2327i | −0.645190 | + | 1.11750i | 0.339067 | + | 0.940762i | \(0.389889\pi\) |
−0.984258 | + | 0.176740i | \(0.943445\pi\) | |||||||
\(212\) | 12.0733 | − | 6.97054i | 0.829200 | − | 0.478739i | ||||
\(213\) | −7.55274 | + | 23.3129i | −0.517505 | + | 1.59737i | ||||
\(214\) | −7.13519 | + | 12.3585i | −0.487752 | + | 0.844810i | ||||
\(215\) | −0.245910 | + | 0.425929i | −0.0167709 | + | 0.0290481i | ||||
\(216\) | 4.19591 | − | 3.06502i | 0.285496 | − | 0.208548i | ||||
\(217\) | 21.2914 | − | 15.7200i | 1.44535 | − | 1.06714i | ||||
\(218\) | 4.58271 | − | 2.64583i | 0.310380 | − | 0.179198i | ||||
\(219\) | −21.3569 | + | 4.55868i | −1.44317 | + | 0.308047i | ||||
\(220\) | − | 2.81608i | − | 0.189860i | ||||||
\(221\) | 11.8423i | 0.796597i | ||||||||
\(222\) | −10.9905 | − | 12.1852i | −0.737637 | − | 0.817819i | ||||
\(223\) | 2.21609 | − | 1.27946i | 0.148400 | − | 0.0856789i | −0.423961 | − | 0.905680i | \(-0.639361\pi\) |
0.572362 | + | 0.820001i | \(0.306027\pi\) | |||||||
\(224\) | −2.12847 | + | 1.57151i | −0.142214 | + | 0.105001i | ||||
\(225\) | 11.4732 | − | 5.13178i | 0.764881 | − | 0.342119i | ||||
\(226\) | 1.33005 | − | 2.30371i | 0.0884736 | − | 0.153241i | ||||
\(227\) | −4.36455 | + | 7.55962i | −0.289685 | + | 0.501749i | −0.973735 | − | 0.227686i | \(-0.926884\pi\) |
0.684049 | + | 0.729436i | \(0.260217\pi\) | |||||||
\(228\) | −3.18958 | − | 3.53629i | −0.211235 | − | 0.234197i | ||||
\(229\) | −3.40979 | + | 1.96865i | −0.225325 | + | 0.130092i | −0.608414 | − | 0.793620i | \(-0.708194\pi\) |
0.383088 | + | 0.923712i | \(0.374861\pi\) | |||||||
\(230\) | −0.772286 | + | 1.33764i | −0.0509230 | + | 0.0882013i | ||||
\(231\) | 2.86068 | − | 14.0464i | 0.188219 | − | 0.924182i | ||||
\(232\) | 1.07151 | + | 1.85590i | 0.0703478 | + | 0.121846i | ||||
\(233\) | −3.92147 | − | 2.26406i | −0.256904 | − | 0.148324i | 0.366018 | − | 0.930608i | \(-0.380721\pi\) |
−0.622921 | + | 0.782284i | \(0.714054\pi\) | |||||||
\(234\) | 6.29382 | − | 2.81512i | 0.411440 | − | 0.184030i | ||||
\(235\) | −3.53832 | − | 6.12855i | −0.230815 | − | 0.399782i | ||||
\(236\) | −7.98443 | −0.519742 | ||||||||
\(237\) | −10.7894 | − | 3.49548i | −0.700849 | − | 0.227056i | ||||
\(238\) | 12.4964 | + | 5.44931i | 0.810024 | + | 0.353226i | ||||
\(239\) | −7.55315 | − | 4.36081i | −0.488573 | − | 0.282078i | 0.235409 | − | 0.971896i | \(-0.424357\pi\) |
−0.723982 | + | 0.689819i | \(0.757690\pi\) | |||||||
\(240\) | −0.325502 | − | 1.52494i | −0.0210110 | − | 0.0984344i | ||||
\(241\) | −17.1314 | − | 9.89079i | −1.10353 | − | 0.637122i | −0.166382 | − | 0.986061i | \(-0.553209\pi\) |
−0.937145 | + | 0.348939i | \(0.886542\pi\) | |||||||
\(242\) | 1.05229 | − | 0.607537i | 0.0676435 | − | 0.0390540i | ||||
\(243\) | 0.0667715 | + | 15.5883i | 0.00428340 | + | 0.999991i | ||||
\(244\) | − | 7.25411i | − | 0.464397i | ||||||
\(245\) | 6.14327 | − | 1.40463i | 0.392479 | − | 0.0897383i | ||||
\(246\) | 2.83368 | + | 3.14170i | 0.180669 | + | 0.200307i | ||||
\(247\) | −3.15947 | − | 5.47236i | −0.201032 | − | 0.348198i | ||||
\(248\) | −10.0032 | −0.635201 | ||||||||
\(249\) | 0.133372 | + | 0.624832i | 0.00845209 | + | 0.0395971i | ||||
\(250\) | − | 8.27295i | − | 0.523227i | ||||||
\(251\) | 3.80791 | 0.240353 | 0.120176 | − | 0.992753i | \(-0.461654\pi\) | ||||
0.120176 | + | 0.992753i | \(0.461654\pi\) | |||||||
\(252\) | −0.0744824 | − | 7.93690i | −0.00469195 | − | 0.499978i | ||||
\(253\) | 5.36686 | 0.337411 | ||||||||
\(254\) | 6.10587i | 0.383116i | ||||||||
\(255\) | −5.96630 | + | 5.38134i | −0.373624 | + | 0.336993i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −7.53771 | − | 13.0557i | −0.470189 | − | 0.814392i | 0.529230 | − | 0.848479i | \(-0.322481\pi\) |
−0.999419 | + | 0.0340869i | \(0.989148\pi\) | |||||||
\(258\) | 0.925391 | − | 0.197527i | 0.0576123 | − | 0.0122975i | ||||
\(259\) | −24.9078 | + | 2.81124i | −1.54769 | + | 0.174682i | ||||
\(260\) | − | 2.06901i | − | 0.128314i | ||||||
\(261\) | −6.39496 | − | 0.661062i | −0.395838 | − | 0.0409187i | ||||
\(262\) | 6.89147 | − | 3.97879i | 0.425756 | − | 0.245811i | ||||
\(263\) | −6.59852 | − | 3.80965i | −0.406882 | − | 0.234913i | 0.282567 | − | 0.959248i | \(-0.408814\pi\) |
−0.689449 | + | 0.724334i | \(0.742147\pi\) | |||||||
\(264\) | −4.02326 | + | 3.62880i | −0.247614 | + | 0.223337i | ||||
\(265\) | 10.8691 | + | 6.27529i | 0.667684 | + | 0.385488i | ||||
\(266\) | −7.22852 | + | 0.815855i | −0.443209 | + | 0.0500233i | ||||
\(267\) | 15.4403 | − | 13.9265i | 0.944933 | − | 0.852289i | ||||
\(268\) | −3.67050 | −0.224212 | ||||||||
\(269\) | −4.32720 | − | 7.49493i | −0.263834 | − | 0.456974i | 0.703424 | − | 0.710771i | \(-0.251654\pi\) |
−0.967257 | + | 0.253797i | \(0.918320\pi\) | |||||||
\(270\) | 4.27833 | + | 1.89167i | 0.260371 | + | 0.115124i | ||||
\(271\) | −15.6611 | − | 9.04193i | −0.951343 | − | 0.549258i | −0.0578449 | − | 0.998326i | \(-0.518423\pi\) |
−0.893498 | + | 0.449068i | \(0.851756\pi\) | |||||||
\(272\) | −2.57638 | − | 4.46242i | −0.156216 | − | 0.270574i | ||||
\(273\) | 2.10177 | − | 10.3200i | 0.127205 | − | 0.624595i | ||||
\(274\) | −10.9200 | + | 18.9140i | −0.659700 | + | 1.14263i | ||||
\(275\) | −11.3495 | + | 6.55262i | −0.684398 | + | 0.395138i | ||||
\(276\) | 2.90621 | − | 0.620337i | 0.174933 | − | 0.0373399i | ||||
\(277\) | −4.99073 | + | 8.64419i | −0.299864 | + | 0.519379i | −0.976105 | − | 0.217301i | \(-0.930275\pi\) |
0.676241 | + | 0.736681i | \(0.263608\pi\) | |||||||
\(278\) | 6.76127 | − | 11.7109i | 0.405514 | − | 0.702371i | ||||
\(279\) | 17.5975 | − | 24.3083i | 1.05353 | − | 1.45530i | ||||
\(280\) | −2.18330 | − | 0.952070i | −0.130477 | − | 0.0568971i | ||||
\(281\) | −13.0297 | + | 7.52272i | −0.777289 | + | 0.448768i | −0.835469 | − | 0.549538i | \(-0.814804\pi\) |
0.0581797 | + | 0.998306i | \(0.481470\pi\) | |||||||
\(282\) | −4.19620 | + | 12.9523i | −0.249880 | + | 0.771300i | ||||
\(283\) | 4.02933i | 0.239519i | 0.992803 | + | 0.119759i | \(0.0382123\pi\) | ||||
−0.992803 | + | 0.119759i | \(0.961788\pi\) | |||||||
\(284\) | − | 14.1484i | − | 0.839555i | ||||||
\(285\) | 1.32133 | − | 4.07853i | 0.0782690 | − | 0.241591i | ||||
\(286\) | −6.22593 | + | 3.59454i | −0.368147 | + | 0.212550i | ||||
\(287\) | 6.42194 | − | 0.724819i | 0.379075 | − | 0.0427847i | ||||
\(288\) | −1.75919 | + | 2.43007i | −0.103662 | + | 0.143193i | ||||
\(289\) | −4.77544 | + | 8.27131i | −0.280908 | + | 0.486548i | ||||
\(290\) | −0.964632 | + | 1.67079i | −0.0566451 | + | 0.0981123i | ||||
\(291\) | 17.3456 | − | 3.70245i | 1.01681 | − | 0.217041i | ||||
\(292\) | 10.9190 | − | 6.30409i | 0.638987 | − | 0.368919i | ||||
\(293\) | 6.59608 | − | 11.4248i | 0.385347 | − | 0.667441i | −0.606470 | − | 0.795106i | \(-0.707415\pi\) |
0.991817 | + | 0.127665i | \(0.0407483\pi\) | |||||||
\(294\) | −9.92295 | − | 6.96671i | −0.578718 | − | 0.406307i | ||||
\(295\) | −3.59402 | − | 6.22503i | −0.209252 | − | 0.362435i | ||||
\(296\) | 8.20475 | + | 4.73701i | 0.476891 | + | 0.275333i | ||||
\(297\) | −1.74055 | − | 16.1606i | −0.100997 | − | 0.937730i | ||||
\(298\) | −2.54722 | − | 4.41192i | −0.147557 | − | 0.255575i | ||||
\(299\) | 3.94309 | 0.228035 | ||||||||
\(300\) | −5.38846 | + | 4.86016i | −0.311103 | + | 0.280601i | ||||
\(301\) | 0.577752 | − | 1.32491i | 0.0333011 | − | 0.0763666i | ||||
\(302\) | 18.3385 | + | 10.5877i | 1.05526 | + | 0.609256i | ||||
\(303\) | −3.49760 | + | 3.15468i | −0.200932 | + | 0.181232i | ||||
\(304\) | 2.38111 | + | 1.37474i | 0.136566 | + | 0.0788465i | ||||
\(305\) | 5.65564 | − | 3.26528i | 0.323841 | − | 0.186970i | ||||
\(306\) | 15.3763 | + | 1.58949i | 0.879006 | + | 0.0908649i | ||||
\(307\) | 28.7690i | 1.64194i | 0.570974 | + | 0.820968i | \(0.306566\pi\) | ||||
−0.570974 | + | 0.820968i | \(0.693434\pi\) | |||||||
\(308\) | 0.928202 | + | 8.22392i | 0.0528892 | + | 0.468602i | ||||
\(309\) | 2.32484 | − | 0.496242i | 0.132255 | − | 0.0282302i | ||||
\(310\) | −4.50271 | − | 7.79892i | −0.255737 | − | 0.442949i | ||||
\(311\) | 30.8457 | 1.74910 | 0.874550 | − | 0.484936i | \(-0.161157\pi\) | ||||
0.874550 | + | 0.484936i | \(0.161157\pi\) | |||||||
\(312\) | −2.95593 | + | 2.66612i | −0.167346 | + | 0.150939i | ||||
\(313\) | 18.3661i | 1.03811i | 0.854740 | + | 0.519056i | \(0.173717\pi\) | ||||
−0.854740 | + | 0.519056i | \(0.826283\pi\) | |||||||
\(314\) | −0.359924 | −0.0203117 | ||||||||
\(315\) | 6.15445 | − | 3.63070i | 0.346764 | − | 0.204567i | ||||
\(316\) | 6.54804 | 0.368356 | ||||||||
\(317\) | − | 17.4560i | − | 0.980426i | −0.871603 | − | 0.490213i | \(-0.836919\pi\) | ||
0.871603 | − | 0.490213i | \(-0.163081\pi\) | |||||||
\(318\) | −5.04061 | − | 23.6147i | −0.282663 | − | 1.32425i | ||||
\(319\) | 6.70353 | 0.375326 | ||||||||
\(320\) | 0.450129 | + | 0.779646i | 0.0251630 | + | 0.0435835i | ||||
\(321\) | 16.5546 | + | 18.3542i | 0.923990 | + | 1.02443i | ||||
\(322\) | 1.81444 | − | 4.16091i | 0.101115 | − | 0.231878i | ||||
\(323\) | − | 14.1673i | − | 0.788292i | ||||||
\(324\) | −2.81047 | − | 8.54993i | −0.156137 | − | 0.474996i | ||||
\(325\) | −8.33857 | + | 4.81428i | −0.462541 | + | 0.267048i | ||||
\(326\) | 10.7152 | + | 6.18640i | 0.593458 | + | 0.342633i | ||||
\(327\) | −1.91328 | − | 8.96350i | −0.105805 | − | 0.495683i | ||||
\(328\) | −2.11542 | − | 1.22134i | −0.116804 | − | 0.0674371i | ||||
\(329\) | 12.3531 | + | 16.7312i | 0.681049 | + | 0.922420i | ||||
\(330\) | −4.64016 | − | 1.50329i | −0.255433 | − | 0.0827532i | ||||
\(331\) | 10.4294 | 0.573254 | 0.286627 | − | 0.958042i | \(-0.407466\pi\) | ||||
0.286627 | + | 0.958042i | \(0.407466\pi\) | |||||||
\(332\) | −0.184437 | − | 0.319454i | −0.0101223 | − | 0.0175323i | ||||
\(333\) | −25.9450 | + | 11.6048i | −1.42178 | + | 0.635938i | ||||
\(334\) | −12.8322 | − | 7.40866i | −0.702145 | − | 0.405384i | ||||
\(335\) | −1.65220 | − | 2.86169i | −0.0902693 | − | 0.156351i | ||||
\(336\) | 1.45321 | + | 4.34605i | 0.0792789 | + | 0.237097i | ||||
\(337\) | −15.8312 | + | 27.4204i | −0.862380 | + | 1.49369i | 0.00724616 | + | 0.999974i | \(0.497693\pi\) |
−0.869626 | + | 0.493712i | \(0.835640\pi\) | |||||||
\(338\) | 6.68407 | − | 3.85905i | 0.363566 | − | 0.209905i | ||||
\(339\) | −3.08590 | − | 3.42134i | −0.167603 | − | 0.185822i | ||||
\(340\) | 2.31940 | − | 4.01733i | 0.125787 | − | 0.217870i | ||||
\(341\) | −15.6454 | + | 27.0986i | −0.847244 | + | 1.46747i | ||||
\(342\) | −7.52954 | + | 3.36784i | −0.407151 | + | 0.182112i | ||||
\(343\) | −17.4775 | + | 6.12685i | −0.943694 | + | 0.330819i | ||||
\(344\) | −0.473119 | + | 0.273155i | −0.0255089 | + | 0.0147275i | ||||
\(345\) | 1.79181 | + | 1.98658i | 0.0964679 | + | 0.106954i | ||||
\(346\) | 4.63544i | 0.249203i | ||||||||
\(347\) | − | 12.5252i | − | 0.672389i | −0.941793 | − | 0.336195i | \(-0.890860\pi\) | ||
0.941793 | − | 0.336195i | \(-0.109140\pi\) | |||||||
\(348\) | 3.63003 | − | 0.774838i | 0.194590 | − | 0.0415357i | ||||
\(349\) | 12.2560 | − | 7.07599i | 0.656047 | − | 0.378769i | −0.134722 | − | 0.990883i | \(-0.543014\pi\) |
0.790769 | + | 0.612115i | \(0.209681\pi\) | |||||||
\(350\) | 1.24317 | + | 11.0145i | 0.0664501 | + | 0.588752i | ||||
\(351\) | −1.27880 | − | 11.8733i | −0.0682572 | − | 0.633751i | ||||
\(352\) | 1.56404 | − | 2.70900i | 0.0833638 | − | 0.144390i | ||||
\(353\) | −2.48267 | + | 4.30012i | −0.132139 | + | 0.228872i | −0.924501 | − | 0.381180i | \(-0.875518\pi\) |
0.792362 | + | 0.610052i | \(0.208851\pi\) | |||||||
\(354\) | −4.26226 | + | 13.1562i | −0.226537 | + | 0.699246i | ||||
\(355\) | 11.0308 | − | 6.36862i | 0.585452 | − | 0.338011i | ||||
\(356\) | −6.00244 | + | 10.3965i | −0.318129 | + | 0.551015i | ||||
\(357\) | 15.6499 | − | 17.6819i | 0.828280 | − | 0.935825i | ||||
\(358\) | −3.03602 | − | 5.25855i | −0.160459 | − | 0.277923i | ||||
\(359\) | 15.0013 | + | 8.66098i | 0.791736 | + | 0.457109i | 0.840573 | − | 0.541698i | \(-0.182218\pi\) |
−0.0488375 | + | 0.998807i | \(0.515552\pi\) | |||||||
\(360\) | −2.68646 | − | 0.277705i | −0.141589 | − | 0.0146364i | ||||
\(361\) | −5.72021 | − | 9.90769i | −0.301063 | − | 0.521457i | ||||
\(362\) | 7.12701 | 0.374587 | ||||||||
\(363\) | −0.439328 | − | 2.05821i | −0.0230588 | − | 0.108028i | ||||
\(364\) | 0.681960 | + | 6.04220i | 0.0357444 | + | 0.316698i | ||||
\(365\) | 9.82992 | + | 5.67531i | 0.514522 | + | 0.297059i | ||||
\(366\) | −11.9529 | − | 3.87240i | −0.624786 | − | 0.202414i | ||||
\(367\) | 1.18799 | + | 0.685884i | 0.0620124 | + | 0.0358029i | 0.530686 | − | 0.847569i | \(-0.321934\pi\) |
−0.468673 | + | 0.883372i | \(0.655268\pi\) | |||||||
\(368\) | −1.48584 | + | 0.857850i | −0.0774547 | + | 0.0447185i | ||||
\(369\) | 6.68937 | − | 2.99204i | 0.348235 | − | 0.155760i | ||||
\(370\) | 8.52907i | 0.443405i | ||||||||
\(371\) | −33.8099 | − | 14.7434i | −1.75532 | − | 0.765441i | ||||
\(372\) | −5.33990 | + | 16.4826i | −0.276861 | + | 0.854581i | ||||
\(373\) | 2.40488 | + | 4.16537i | 0.124520 | + | 0.215675i | 0.921545 | − | 0.388271i | \(-0.126928\pi\) |
−0.797025 | + | 0.603946i | \(0.793594\pi\) | |||||||
\(374\) | −16.1183 | −0.833456 | ||||||||
\(375\) | −13.6316 | − | 4.41628i | −0.703935 | − | 0.228056i | ||||
\(376\) | − | 7.86068i | − | 0.405384i | ||||||
\(377\) | 4.92515 | 0.253658 | ||||||||
\(378\) | −13.1177 | − | 4.11416i | −0.674701 | − | 0.211610i | ||||
\(379\) | 19.5669 | 1.00508 | 0.502542 | − | 0.864553i | \(-0.332398\pi\) | ||||
0.502542 | + | 0.864553i | \(0.332398\pi\) | |||||||
\(380\) | 2.47523i | 0.126977i | ||||||||
\(381\) | 10.0609 | + | 3.25944i | 0.515433 | + | 0.166986i | ||||
\(382\) | −14.4006 | −0.736801 | ||||||||
\(383\) | 15.7349 | + | 27.2536i | 0.804014 | + | 1.39259i | 0.916955 | + | 0.398992i | \(0.130640\pi\) |
−0.112940 | + | 0.993602i | \(0.536027\pi\) | |||||||
\(384\) | 0.533822 | − | 1.64774i | 0.0272415 | − | 0.0840857i | ||||
\(385\) | −5.99394 | + | 4.42549i | −0.305479 | + | 0.225544i | ||||
\(386\) | 17.8115i | 0.906579i | ||||||||
\(387\) | 0.168522 | − | 1.63024i | 0.00856646 | − | 0.0828700i | ||||
\(388\) | −8.86815 | + | 5.12003i | −0.450212 | + | 0.259930i | ||||
\(389\) | 3.52130 | + | 2.03303i | 0.178537 | + | 0.103078i | 0.586605 | − | 0.809873i | \(-0.300464\pi\) |
−0.408068 | + | 0.912952i | \(0.633797\pi\) | |||||||
\(390\) | −3.40918 | − | 1.10448i | −0.172630 | − | 0.0559276i | ||||
\(391\) | 7.65617 | + | 4.42029i | 0.387189 | + | 0.223544i | ||||
\(392\) | 6.68980 | + | 2.06074i | 0.337886 | + | 0.104083i | ||||
\(393\) | −2.87718 | − | 13.4793i | −0.145135 | − | 0.679940i | ||||
\(394\) | 19.1025 | 0.962369 | ||||||||
\(395\) | 2.94746 | + | 5.10515i | 0.148303 | + | 0.256868i | ||||
\(396\) | 3.83161 | + | 8.56640i | 0.192545 | + | 0.430478i | ||||
\(397\) | −3.81692 | − | 2.20370i | −0.191566 | − | 0.110601i | 0.401150 | − | 0.916013i | \(-0.368611\pi\) |
−0.592715 | + | 0.805412i | \(0.701944\pi\) | |||||||
\(398\) | 6.69771 | + | 11.6008i | 0.335726 | + | 0.581494i | ||||
\(399\) | −2.51443 | + | 12.3462i | −0.125879 | + | 0.618084i | ||||
\(400\) | 2.09477 | − | 3.62824i | 0.104738 | − | 0.181412i | ||||
\(401\) | 16.0586 | − | 9.27141i | 0.801926 | − | 0.462992i | −0.0422180 | − | 0.999108i | \(-0.513442\pi\) |
0.844144 | + | 0.536116i | \(0.180109\pi\) | |||||||
\(402\) | −1.95940 | + | 6.04802i | −0.0977257 | + | 0.301648i | ||||
\(403\) | −11.4948 | + | 19.9096i | −0.572597 | + | 0.991768i | ||||
\(404\) | 1.35969 | − | 2.35506i | 0.0676472 | − | 0.117168i | ||||
\(405\) | 5.40085 | − | 6.03974i | 0.268370 | − | 0.300117i | ||||
\(406\) | 2.26635 | − | 5.19723i | 0.112477 | − | 0.257934i | ||||
\(407\) | 25.6652 | − | 14.8178i | 1.27218 | − | 0.734491i | ||||
\(408\) | −8.72821 | + | 1.86306i | −0.432111 | + | 0.0922350i | ||||
\(409\) | − | 24.8902i | − | 1.23074i | −0.788238 | − | 0.615370i | \(-0.789006\pi\) | ||
0.788238 | − | 0.615370i | \(-0.210994\pi\) | |||||||
\(410\) | − | 2.19904i | − | 0.108603i | ||||||
\(411\) | 25.3359 | + | 28.0899i | 1.24973 | + | 1.38557i | ||||
\(412\) | −1.18861 | + | 0.686242i | −0.0585584 | + | 0.0338087i | ||||
\(413\) | 12.5476 | + | 16.9946i | 0.617426 | + | 0.836249i | ||||
\(414\) | 0.529247 | − | 5.11982i | 0.0260111 | − | 0.251625i | ||||
\(415\) | 0.166041 | − | 0.287591i | 0.00815062 | − | 0.0141173i | ||||
\(416\) | 1.14912 | − | 1.99033i | 0.0563402 | − | 0.0975841i | ||||
\(417\) | −15.6871 | − | 17.3923i | −0.768200 | − | 0.851705i | ||||
\(418\) | 7.44832 | − | 4.30029i | 0.364309 | − | 0.210334i | ||||
\(419\) | −2.57422 | + | 4.45869i | −0.125759 | + | 0.217821i | −0.922029 | − | 0.387120i | \(-0.873470\pi\) |
0.796270 | + | 0.604941i | \(0.206803\pi\) | |||||||
\(420\) | −2.73425 | + | 3.08927i | −0.133418 | + | 0.150741i | ||||
\(421\) | −13.5022 | − | 23.3864i | −0.658055 | − | 1.13978i | −0.981119 | − | 0.193408i | \(-0.938046\pi\) |
0.323063 | − | 0.946377i | \(-0.395287\pi\) | |||||||
\(422\) | −16.2327 | − | 9.37193i | −0.790193 | − | 0.456218i | ||||
\(423\) | 19.1020 | + | 13.8285i | 0.928771 | + | 0.672363i | ||||
\(424\) | 6.97054 | + | 12.0733i | 0.338520 | + | 0.586333i | ||||
\(425\) | −21.5877 | −1.04715 | ||||||||
\(426\) | −23.3129 | − | 7.55274i | −1.12951 | − | 0.365931i | ||||
\(427\) | −15.4401 | + | 11.3999i | −0.747200 | + | 0.551679i | ||||
\(428\) | −12.3585 | − | 7.13519i | −0.597371 | − | 0.344892i | ||||
\(429\) | 2.59932 | + | 12.1775i | 0.125496 | + | 0.587937i | ||||
\(430\) | −0.425929 | − | 0.245910i | −0.0205401 | − | 0.0118588i | ||||
\(431\) | −8.10874 | + | 4.68159i | −0.390584 | + | 0.225504i | −0.682413 | − | 0.730966i | \(-0.739070\pi\) |
0.291829 | + | 0.956471i | \(0.405736\pi\) | |||||||
\(432\) | 3.06502 | + | 4.19591i | 0.147466 | + | 0.201876i | ||||
\(433\) | 21.0373i | 1.01099i | 0.862830 | + | 0.505494i | \(0.168690\pi\) | ||||
−0.862830 | + | 0.505494i | \(0.831310\pi\) | |||||||
\(434\) | 15.7200 | + | 21.2914i | 0.754585 | + | 1.02202i | ||||
\(435\) | 2.23808 | + | 2.48136i | 0.107308 | + | 0.118972i | ||||
\(436\) | 2.64583 | + | 4.58271i | 0.126712 | + | 0.219472i | ||||
\(437\) | −4.71727 | −0.225657 | ||||||||
\(438\) | −4.55868 | − | 21.3569i | −0.217822 | − | 1.02047i | ||||
\(439\) | − | 20.4229i | − | 0.974730i | −0.873198 | − | 0.487365i | \(-0.837958\pi\) | ||
0.873198 | − | 0.487365i | \(-0.162042\pi\) | |||||||
\(440\) | 2.81608 | 0.134252 | ||||||||
\(441\) | −16.7764 | + | 12.6314i | −0.798875 | + | 0.601497i | ||||
\(442\) | −11.8423 | −0.563279 | ||||||||
\(443\) | − | 32.3649i | − | 1.53770i | −0.639427 | − | 0.768852i | \(-0.720828\pi\) | ||
0.639427 | − | 0.768852i | \(-0.279172\pi\) | |||||||
\(444\) | 12.1852 | − | 10.9905i | 0.578285 | − | 0.521588i | ||||
\(445\) | −10.8075 | −0.512324 | ||||||||
\(446\) | 1.27946 | + | 2.21609i | 0.0605841 | + | 0.104935i | ||||
\(447\) | −8.62944 | + | 1.84197i | −0.408158 | + | 0.0871223i | ||||
\(448\) | −1.57151 | − | 2.12847i | −0.0742467 | − | 0.100561i | ||||
\(449\) | − | 21.5693i | − | 1.01792i | −0.860791 | − | 0.508958i | \(-0.830031\pi\) | ||
0.860791 | − | 0.508958i | \(-0.169969\pi\) | |||||||
\(450\) | 5.13178 | + | 11.4732i | 0.241914 | + | 0.540853i | ||||
\(451\) | −6.61721 | + | 3.82045i | −0.311592 | + | 0.179898i | ||||
\(452\) | 2.30371 | + | 1.33005i | 0.108358 | + | 0.0625603i | ||||
\(453\) | 27.2353 | − | 24.5651i | 1.27963 | − | 1.15417i | ||||
\(454\) | −7.55962 | − | 4.36455i | −0.354790 | − | 0.204838i | ||||
\(455\) | −4.40381 | + | 3.25146i | −0.206454 | + | 0.152431i | ||||
\(456\) | 3.53629 | − | 3.18958i | 0.165602 | − | 0.149366i | ||||
\(457\) | 21.0700 | 0.985611 | 0.492806 | − | 0.870139i | \(-0.335971\pi\) | ||||
0.492806 | + | 0.870139i | \(0.335971\pi\) | |||||||
\(458\) | −1.96865 | − | 3.40979i | −0.0919887 | − | 0.159329i | ||||
\(459\) | 10.8273 | − | 24.4876i | 0.505374 | − | 1.14298i | ||||
\(460\) | −1.33764 | − | 0.772286i | −0.0623677 | − | 0.0360080i | ||||
\(461\) | 15.8412 | + | 27.4378i | 0.737800 | + | 1.27791i | 0.953484 | + | 0.301444i | \(0.0974687\pi\) |
−0.215684 | + | 0.976463i | \(0.569198\pi\) | |||||||
\(462\) | 14.0464 | + | 2.86068i | 0.653495 | + | 0.133091i | ||||
\(463\) | 4.40058 | − | 7.62202i | 0.204512 | − | 0.354225i | −0.745465 | − | 0.666545i | \(-0.767773\pi\) |
0.949977 | + | 0.312319i | \(0.101106\pi\) | |||||||
\(464\) | −1.85590 | + | 1.07151i | −0.0861582 | + | 0.0497434i | ||||
\(465\) | −15.2542 | + | 3.25604i | −0.707397 | + | 0.150995i | ||||
\(466\) | 2.26406 | − | 3.92147i | 0.104881 | − | 0.181658i | ||||
\(467\) | 9.49444 | − | 16.4449i | 0.439350 | − | 0.760977i | −0.558289 | − | 0.829646i | \(-0.688542\pi\) |
0.997639 | + | 0.0686693i | \(0.0218753\pi\) | |||||||
\(468\) | 2.81512 | + | 6.29382i | 0.130129 | + | 0.290932i | ||||
\(469\) | 5.76822 | + | 7.81254i | 0.266352 | + | 0.360750i | ||||
\(470\) | 6.12855 | − | 3.53832i | 0.282689 | − | 0.163211i | ||||
\(471\) | −0.192135 | + | 0.593059i | −0.00885312 | + | 0.0273267i | ||||
\(472\) | − | 7.98443i | − | 0.367513i | ||||||
\(473\) | 1.70891i | 0.0785756i | ||||||||
\(474\) | 3.49548 | − | 10.7894i | 0.160553 | − | 0.495575i | ||||
\(475\) | 9.97575 | − | 5.75950i | 0.457719 | − | 0.264264i | ||||
\(476\) | −5.44931 | + | 12.4964i | −0.249769 | + | 0.572774i | ||||
\(477\) | −41.6016 | − | 4.30045i | −1.90481 | − | 0.196904i | ||||
\(478\) | 4.36081 | − | 7.55315i | 0.199459 | − | 0.345473i | ||||
\(479\) | 12.0701 | − | 20.9060i | 0.551495 | − | 0.955218i | −0.446672 | − | 0.894698i | \(-0.647391\pi\) |
0.998167 | − | 0.0605197i | \(-0.0192758\pi\) | |||||||
\(480\) | 1.52494 | − | 0.325502i | 0.0696037 | − | 0.0148570i | ||||
\(481\) | 18.8565 | − | 10.8868i | 0.859781 | − | 0.496395i | ||||
\(482\) | 9.89079 | − | 17.1314i | 0.450513 | − | 0.780312i | ||||
\(483\) | −5.88749 | − | 5.21091i | −0.267890 | − | 0.237104i | ||||
\(484\) | 0.607537 | + | 1.05229i | 0.0276153 | + | 0.0478312i | ||||
\(485\) | −7.98362 | − | 4.60935i | −0.362518 | − | 0.209300i | ||||
\(486\) | −15.5883 | + | 0.0667715i | −0.707100 | + | 0.00302882i | ||||
\(487\) | 7.05542 | + | 12.2204i | 0.319712 | + | 0.553757i | 0.980428 | − | 0.196879i | \(-0.0630806\pi\) |
−0.660716 | + | 0.750636i | \(0.729747\pi\) | |||||||
\(488\) | 7.25411 | 0.328378 | ||||||||
\(489\) | 15.9136 | − | 14.3533i | 0.719636 | − | 0.649080i | ||||
\(490\) | 1.40463 | + | 6.14327i | 0.0634546 | + | 0.277525i | ||||
\(491\) | −18.8344 | − | 10.8740i | −0.849982 | − | 0.490738i | 0.0106626 | − | 0.999943i | \(-0.496606\pi\) |
−0.860645 | + | 0.509206i | \(0.829939\pi\) | |||||||
\(492\) | −3.14170 | + | 2.83368i | −0.141639 | + | 0.127752i | ||||
\(493\) | 9.56302 | + | 5.52121i | 0.430697 | + | 0.248663i | ||||
\(494\) | 5.47236 | − | 3.15947i | 0.246213 | − | 0.142151i | ||||
\(495\) | −4.95404 | + | 6.84328i | −0.222668 | + | 0.307582i | ||||
\(496\) | − | 10.0032i | − | 0.449155i | ||||||
\(497\) | −30.1144 | + | 22.2343i | −1.35082 | + | 0.997347i | ||||
\(498\) | −0.624832 | + | 0.133372i | −0.0279994 | + | 0.00597653i | ||||
\(499\) | 4.21233 | + | 7.29596i | 0.188570 | + | 0.326612i | 0.944774 | − | 0.327724i | \(-0.106282\pi\) |
−0.756204 | + | 0.654336i | \(0.772948\pi\) | |||||||
\(500\) | 8.27295 | 0.369978 | ||||||||
\(501\) | −19.0576 | + | 17.1891i | −0.851431 | + | 0.767954i | ||||
\(502\) | 3.80791i | 0.169955i | ||||||||
\(503\) | −8.71316 | −0.388501 | −0.194250 | − | 0.980952i | \(-0.562227\pi\) | ||||
−0.194250 | + | 0.980952i | \(0.562227\pi\) | |||||||
\(504\) | 7.93690 | − | 0.0744824i | 0.353538 | − | 0.00331771i | ||||
\(505\) | 2.44815 | 0.108941 | ||||||||
\(506\) | 5.36686i | 0.238586i | ||||||||
\(507\) | −2.79059 | − | 13.0736i | −0.123935 | − | 0.580620i | ||||
\(508\) | −6.10587 | −0.270904 | ||||||||
\(509\) | −14.9177 | − | 25.8382i | −0.661214 | − | 1.14526i | −0.980297 | − | 0.197530i | \(-0.936708\pi\) |
0.319082 | − | 0.947727i | \(-0.396625\pi\) | |||||||
\(510\) | −5.38134 | − | 5.96630i | −0.238290 | − | 0.264192i | ||||
\(511\) | −30.5773 | − | 13.3338i | −1.35266 | − | 0.589853i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 1.52987 | + | 14.2045i | 0.0675456 | + | 0.627145i | ||||
\(514\) | 13.0557 | − | 7.53771i | 0.575862 | − | 0.332474i | ||||
\(515\) | −1.07005 | − | 0.617794i | −0.0471521 | − | 0.0272233i | ||||
\(516\) | 0.197527 | + | 0.925391i | 0.00869563 | + | 0.0407381i | ||||
\(517\) | −21.2946 | − | 12.2944i | −0.936536 | − | 0.540709i | ||||
\(518\) | −2.81124 | − | 24.9078i | −0.123519 | − | 1.09439i | ||||
\(519\) | 7.63798 | + | 2.47450i | 0.335270 | + | 0.108618i | ||||
\(520\) | 2.06901 | 0.0907320 | ||||||||
\(521\) | −9.89004 | − | 17.1301i | −0.433291 | − | 0.750482i | 0.563864 | − | 0.825868i | \(-0.309314\pi\) |
−0.997154 | + | 0.0753863i | \(0.975981\pi\) | |||||||
\(522\) | 0.661062 | − | 6.39496i | 0.0289339 | − | 0.279900i | ||||
\(523\) | −10.5932 | − | 6.11597i | −0.463207 | − | 0.267433i | 0.250185 | − | 0.968198i | \(-0.419509\pi\) |
−0.713392 | + | 0.700766i | \(0.752842\pi\) | |||||||
\(524\) | 3.97879 | + | 6.89147i | 0.173814 | + | 0.301055i | ||||
\(525\) | 18.8127 | + | 3.83139i | 0.821053 | + | 0.167215i | ||||
\(526\) | 3.80965 | − | 6.59852i | 0.166109 | − | 0.287709i | ||||
\(527\) | −44.6382 | + | 25.7719i | −1.94447 | + | 1.12264i | ||||
\(528\) | −3.62880 | − | 4.02326i | −0.157923 | − | 0.175090i | ||||
\(529\) | −10.0282 | + | 17.3693i | −0.436008 | + | 0.755188i | ||||
\(530\) | −6.27529 | + | 10.8691i | −0.272581 | + | 0.472124i | ||||
\(531\) | 19.4027 | + | 14.0462i | 0.842006 | + | 0.609552i | ||||
\(532\) | −0.815855 | − | 7.22852i | −0.0353718 | − | 0.313396i | ||||
\(533\) | −4.86174 | + | 2.80693i | −0.210585 | + | 0.121581i | ||||
\(534\) | 13.9265 | + | 15.4403i | 0.602659 | + | 0.668169i | ||||
\(535\) | − | 12.8470i | − | 0.555425i | ||||||
\(536\) | − | 3.67050i | − | 0.158542i | ||||||
\(537\) | −10.2854 | + | 2.19544i | −0.443848 | + | 0.0947402i | ||||
\(538\) | 7.49493 | − | 4.32720i | 0.323129 | − | 0.186559i | ||||
\(539\) | 16.0457 | − | 14.8996i | 0.691136 | − | 0.641771i | ||||
\(540\) | −1.89167 | + | 4.27833i | −0.0814047 | + | 0.184110i | ||||
\(541\) | −0.348944 | + | 0.604389i | −0.0150023 | + | 0.0259847i | −0.873429 | − | 0.486951i | \(-0.838109\pi\) |
0.858427 | + | 0.512936i | \(0.171442\pi\) | |||||||
\(542\) | 9.04193 | − | 15.6611i | 0.388384 | − | 0.672701i | ||||
\(543\) | 3.80455 | − | 11.7434i | 0.163269 | − | 0.503959i | ||||
\(544\) | 4.46242 | − | 2.57638i | 0.191325 | − | 0.110461i | ||||
\(545\) | −2.38193 | + | 4.12562i | −0.102031 | + | 0.176722i | ||||
\(546\) | 10.3200 | + | 2.10177i | 0.441655 | + | 0.0899474i | ||||
\(547\) | 21.0049 | + | 36.3815i | 0.898103 | + | 1.55556i | 0.829917 | + | 0.557887i | \(0.188388\pi\) |
0.0681854 | + | 0.997673i | \(0.478279\pi\) | |||||||
\(548\) | −18.9140 | − | 10.9200i | −0.807964 | − | 0.466478i | ||||
\(549\) | −12.7614 | + | 17.6280i | −0.544643 | + | 0.752344i | ||||
\(550\) | −6.55262 | − | 11.3495i | −0.279404 | − | 0.483943i | ||||
\(551\) | −5.89215 | −0.251014 | ||||||||
\(552\) | 0.620337 | + | 2.90621i | 0.0264033 | + | 0.123697i | ||||
\(553\) | −10.2903 | − | 13.9373i | −0.437587 | − | 0.592673i | ||||
\(554\) | −8.64419 | − | 4.99073i | −0.367257 | − | 0.212036i | ||||
\(555\) | 14.0537 | + | 4.55300i | 0.596544 | + | 0.193264i | ||||
\(556\) | 11.7109 | + | 6.76127i | 0.496651 | + | 0.286742i | ||||
\(557\) | 4.85612 | − | 2.80368i | 0.205760 | − | 0.118796i | −0.393579 | − | 0.919291i | \(-0.628763\pi\) |
0.599340 | + | 0.800495i | \(0.295430\pi\) | |||||||
\(558\) | 24.3083 | + | 17.5975i | 1.02905 | + | 0.744961i | ||||
\(559\) | 1.25555i | 0.0531042i | ||||||||
\(560\) | 0.952070 | − | 2.18330i | 0.0402323 | − | 0.0922614i | ||||
\(561\) | −8.60428 | + | 26.5586i | −0.363273 | + | 1.12131i | ||||
\(562\) | −7.52272 | − | 13.0297i | −0.317327 | − | 0.549626i | ||||
\(563\) | −35.1896 | −1.48306 | −0.741532 | − | 0.670918i | \(-0.765900\pi\) | ||||
−0.741532 | + | 0.670918i | \(0.765900\pi\) | |||||||
\(564\) | −12.9523 | − | 4.19620i | −0.545391 | − | 0.176692i | ||||
\(565\) | 2.39478i | 0.100749i | ||||||||
\(566\) | −4.02933 | −0.169365 | ||||||||
\(567\) | −13.7816 | + | 19.4183i | −0.578771 | + | 0.815490i | ||||
\(568\) | 14.1484 | 0.593655 | ||||||||
\(569\) | − | 8.81739i | − | 0.369644i | −0.982772 | − | 0.184822i | \(-0.940829\pi\) | ||
0.982772 | − | 0.184822i | \(-0.0591709\pi\) | |||||||
\(570\) | 4.07853 | + | 1.32133i | 0.170831 | + | 0.0553445i | ||||
\(571\) | −11.8828 | −0.497280 | −0.248640 | − | 0.968596i | \(-0.579984\pi\) | ||||
−0.248640 | + | 0.968596i | \(0.579984\pi\) | |||||||
\(572\) | −3.59454 | − | 6.22593i | −0.150295 | − | 0.260319i | ||||
\(573\) | −7.68738 | + | 23.7285i | −0.321145 | + | 0.991271i | ||||
\(574\) | 0.724819 | + | 6.42194i | 0.0302534 | + | 0.268047i | ||||
\(575\) | 7.18799i | 0.299760i | ||||||||
\(576\) | −2.43007 | − | 1.75919i | −0.101253 | − | 0.0732998i | ||||
\(577\) | 15.8314 | − | 9.14028i | 0.659071 | − | 0.380515i | −0.132852 | − | 0.991136i | \(-0.542413\pi\) |
0.791923 | + | 0.610621i | \(0.209080\pi\) | |||||||
\(578\) | −8.27131 | − | 4.77544i | −0.344041 | − | 0.198632i | ||||
\(579\) | 29.3486 | + | 9.50814i | 1.21969 | + | 0.395145i | ||||
\(580\) | −1.67079 | − | 0.964632i | −0.0693758 | − | 0.0400542i | ||||
\(581\) | −0.390103 | + | 0.894591i | −0.0161842 | + | 0.0371139i | ||||
\(582\) | 3.70245 | + | 17.3456i | 0.153471 | + | 0.718996i | ||||
\(583\) | 43.6089 | 1.80610 | ||||||||
\(584\) | 6.30409 | + | 10.9190i | 0.260865 | + | 0.451832i | ||||
\(585\) | −3.63979 | + | 5.02783i | −0.150487 | + | 0.207875i | ||||
\(586\) | 11.4248 | + | 6.59608i | 0.471952 | + | 0.272482i | ||||
\(587\) | −1.75389 | − | 3.03782i | −0.0723907 | − | 0.125384i | 0.827558 | − | 0.561380i | \(-0.189730\pi\) |
−0.899949 | + | 0.435996i | \(0.856396\pi\) | |||||||
\(588\) | 6.96671 | − | 9.92295i | 0.287302 | − | 0.409216i | ||||
\(589\) | 13.7517 | − | 23.8186i | 0.566628 | − | 0.981429i | ||||
\(590\) | 6.22503 | − | 3.59402i | 0.256280 | − | 0.147964i | ||||
\(591\) | 10.1973 | − | 31.4759i | 0.419462 | − | 1.29474i | ||||
\(592\) | −4.73701 | + | 8.20475i | −0.194690 | + | 0.337213i | ||||
\(593\) | −24.2336 | + | 41.9738i | −0.995155 | + | 1.72366i | −0.412428 | + | 0.910990i | \(0.635319\pi\) |
−0.582727 | + | 0.812668i | \(0.698014\pi\) | |||||||
\(594\) | 16.1606 | − | 1.74055i | 0.663076 | − | 0.0714155i | ||||
\(595\) | −12.1957 | + | 1.37648i | −0.499975 | + | 0.0564302i | ||||
\(596\) | 4.41192 | − | 2.54722i | 0.180719 | − | 0.104338i | ||||
\(597\) | 22.6904 | − | 4.84331i | 0.928656 | − | 0.198224i | ||||
\(598\) | 3.94309i | 0.161245i | ||||||||
\(599\) | 25.1463i | 1.02745i | 0.857955 | + | 0.513724i | \(0.171734\pi\) | ||||
−0.857955 | + | 0.513724i | \(0.828266\pi\) | |||||||
\(600\) | −4.86016 | − | 5.38846i | −0.198415 | − | 0.219983i | ||||
\(601\) | 11.2731 | − | 6.50854i | 0.459840 | − | 0.265489i | −0.252137 | − | 0.967692i | \(-0.581133\pi\) |
0.711977 | + | 0.702203i | \(0.247800\pi\) | |||||||
\(602\) | 1.32491 | + | 0.577752i | 0.0539993 | + | 0.0235474i | ||||
\(603\) | 8.91958 | + | 6.45713i | 0.363233 | + | 0.262955i | ||||
\(604\) | −10.5877 | + | 18.3385i | −0.430809 | + | 0.746183i | ||||
\(605\) | −0.546940 | + | 0.947328i | −0.0222363 | + | 0.0385144i | ||||
\(606\) | −3.15468 | − | 3.49760i | −0.128150 | − | 0.142080i | ||||
\(607\) | −7.10546 | + | 4.10234i | −0.288402 | + | 0.166509i | −0.637221 | − | 0.770681i | \(-0.719916\pi\) |
0.348819 | + | 0.937190i | \(0.386583\pi\) | |||||||
\(608\) | −1.37474 | + | 2.38111i | −0.0557529 | + | 0.0965668i | ||||
\(609\) | −7.35384 | − | 6.50874i | −0.297993 | − | 0.263747i | ||||
\(610\) | 3.26528 | + | 5.65564i | 0.132207 | + | 0.228990i | ||||
\(611\) | −15.6454 | − | 9.03286i | −0.632944 | − | 0.365430i | ||||
\(612\) | −1.58949 | + | 15.3763i | −0.0642512 | + | 0.621551i | ||||
\(613\) | 2.35051 | + | 4.07120i | 0.0949361 | + | 0.164434i | 0.909582 | − | 0.415525i | \(-0.136402\pi\) |
−0.814646 | + | 0.579959i | \(0.803069\pi\) | |||||||
\(614\) | −28.7690 | −1.16102 | ||||||||
\(615\) | −3.62343 | − | 1.17389i | −0.146111 | − | 0.0473360i | ||||
\(616\) | −8.22392 | + | 0.928202i | −0.331351 | + | 0.0373983i | ||||
\(617\) | 17.0178 | + | 9.82521i | 0.685109 | + | 0.395548i | 0.801777 | − | 0.597623i | \(-0.203888\pi\) |
−0.116668 | + | 0.993171i | \(0.537221\pi\) | |||||||
\(618\) | 0.496242 | + | 2.32484i | 0.0199618 | + | 0.0935187i | ||||
\(619\) | 30.0586 | + | 17.3544i | 1.20816 | + | 0.697531i | 0.962357 | − | 0.271789i | \(-0.0876153\pi\) |
0.245802 | + | 0.969320i | \(0.420949\pi\) | |||||||
\(620\) | 7.79892 | − | 4.50271i | 0.313212 | − | 0.180833i | ||||
\(621\) | −8.15358 | − | 3.60513i | −0.327192 | − | 0.144669i | ||||
\(622\) | 30.8457i | 1.23680i | ||||||||
\(623\) | 31.5615 | − | 3.56223i | 1.26449 | − | 0.142718i | ||||
\(624\) | −2.66612 | − | 2.95593i | −0.106730 | − | 0.118332i | ||||
\(625\) | −6.74995 | − | 11.6912i | −0.269998 | − | 0.467650i | ||||
\(626\) | −18.3661 | −0.734057 | ||||||||
\(627\) | −3.10967 | − | 14.5685i | −0.124188 | − | 0.581808i | ||||
\(628\) | − | 0.359924i | − | 0.0143625i | ||||||
\(629\) | 48.8174 | 1.94648 | ||||||||
\(630\) | 3.63070 | + | 6.15445i | 0.144651 | + | 0.245199i | ||||
\(631\) | 22.9139 | 0.912188 | 0.456094 | − | 0.889932i | \(-0.349248\pi\) | ||||
0.456094 | + | 0.889932i | \(0.349248\pi\) | |||||||
\(632\) | 6.54804i | 0.260467i | ||||||||
\(633\) | −24.1078 | + | 21.7442i | −0.958199 | + | 0.864254i | ||||
\(634\) | 17.4560 | 0.693266 | ||||||||
\(635\) | −2.74843 | − | 4.76041i | −0.109068 | − | 0.188911i | ||||
\(636\) | 23.6147 | − | 5.04061i | 0.936384 | − | 0.199873i | ||||
\(637\) | 11.7889 | − | 10.9469i | 0.467094 | − | 0.433732i | ||||
\(638\) | 6.70353i | 0.265395i | ||||||||
\(639\) | −24.8898 | + | 34.3816i | −0.984627 | + | 1.36012i | ||||
\(640\) | −0.779646 | + | 0.450129i | −0.0308182 | + | 0.0177929i | ||||
\(641\) | 11.9968 | + | 6.92634i | 0.473844 | + | 0.273574i | 0.717848 | − | 0.696200i | \(-0.245127\pi\) |
−0.244003 | + | 0.969774i | \(0.578461\pi\) | |||||||
\(642\) | −18.3542 | + | 16.5546i | −0.724381 | + | 0.653360i | ||||
\(643\) | −27.9684 | − | 16.1476i | −1.10297 | − | 0.636797i | −0.165967 | − | 0.986131i | \(-0.553075\pi\) |
−0.936998 | + | 0.349334i | \(0.886408\pi\) | |||||||
\(644\) | 4.16091 | + | 1.81444i | 0.163963 | + | 0.0714990i | ||||
\(645\) | −0.632565 | + | 0.570546i | −0.0249072 | + | 0.0224652i | ||||
\(646\) | 14.1673 | 0.557407 | ||||||||
\(647\) | −8.96715 | − | 15.5316i | −0.352535 | − | 0.610609i | 0.634158 | − | 0.773204i | \(-0.281347\pi\) |
−0.986693 | + | 0.162595i | \(0.948014\pi\) | |||||||
\(648\) | 8.54993 | − | 2.81047i | 0.335873 | − | 0.110406i | ||||
\(649\) | −21.6298 | − | 12.4880i | −0.849046 | − | 0.490197i | ||||
\(650\) | −4.81428 | − | 8.33857i | −0.188831 | − | 0.327066i | ||||
\(651\) | 43.4742 | − | 14.5366i | 1.70389 | − | 0.569736i | ||||
\(652\) | −6.18640 | + | 10.7152i | −0.242278 | + | 0.419638i | ||||
\(653\) | 6.49080 | − | 3.74747i | 0.254005 | − | 0.146650i | −0.367592 | − | 0.929987i | \(-0.619818\pi\) |
0.621597 | + | 0.783338i | \(0.286484\pi\) | |||||||
\(654\) | 8.96350 | − | 1.91328i | 0.350501 | − | 0.0748151i | ||||
\(655\) | −3.58194 | + | 6.20410i | −0.139958 | + | 0.242414i | ||||
\(656\) | 1.22134 | − | 2.11542i | 0.0476852 | − | 0.0825932i | ||||
\(657\) | −37.6241 | − | 3.88928i | −1.46785 | − | 0.151735i | ||||
\(658\) | −16.7312 | + | 12.3531i | −0.652250 | + | 0.481574i | ||||
\(659\) | −9.32497 | + | 5.38377i | −0.363249 | + | 0.209722i | −0.670505 | − | 0.741905i | \(-0.733923\pi\) |
0.307256 | + | 0.951627i | \(0.400589\pi\) | |||||||
\(660\) | 1.50329 | − | 4.64016i | 0.0585154 | − | 0.180618i | ||||
\(661\) | 11.6409i | 0.452778i | 0.974037 | + | 0.226389i | \(0.0726920\pi\) | ||||
−0.974037 | + | 0.226389i | \(0.927308\pi\) | |||||||
\(662\) | 10.4294i | 0.405352i | ||||||||
\(663\) | −6.32166 | + | 19.5129i | −0.245513 | + | 0.757819i | ||||
\(664\) | 0.319454 | − | 0.184437i | 0.0123972 | − | 0.00715754i | ||||
\(665\) | 5.26845 | − | 3.88984i | 0.204302 | − | 0.150842i | ||||
\(666\) | −11.6048 | − | 25.9450i | −0.449676 | − | 1.00535i | ||||
\(667\) | 1.83838 | − | 3.18417i | 0.0711825 | − | 0.123292i | ||||
\(668\) | 7.40866 | − | 12.8322i | 0.286650 | − | 0.496492i | ||||
\(669\) | 4.33453 | − | 0.925215i | 0.167583 | − | 0.0357709i | ||||
\(670\) | 2.86169 | − | 1.65220i | 0.110557 | − | 0.0638301i | ||||
\(671\) | 11.3457 | − | 19.6514i | 0.437997 | − | 0.758634i | ||||
\(672\) | −4.34605 | + | 1.45321i | −0.167653 | + | 0.0560587i | ||||
\(673\) | −0.550931 | − | 0.954241i | −0.0212368 | − | 0.0367833i | 0.855212 | − | 0.518279i | \(-0.173427\pi\) |
−0.876449 | + | 0.481496i | \(0.840094\pi\) | |||||||
\(674\) | −27.4204 | − | 15.8312i | −1.05619 | − | 0.609794i | ||||
\(675\) | 21.6443 | − | 2.33116i | 0.833089 | − | 0.0897265i | ||||
\(676\) | 3.85905 | + | 6.68407i | 0.148425 | + | 0.257080i | ||||
\(677\) | −11.2324 | −0.431695 | −0.215847 | − | 0.976427i | \(-0.569251\pi\) | ||||
−0.215847 | + | 0.976427i | \(0.569251\pi\) | |||||||
\(678\) | 3.42134 | − | 3.08590i | 0.131396 | − | 0.118513i | ||||
\(679\) | 24.8342 | + | 10.8294i | 0.953048 | + | 0.415594i | ||||
\(680\) | 4.01733 | + | 2.31940i | 0.154057 | + | 0.0889451i | ||||
\(681\) | −11.2271 | + | 10.1264i | −0.430224 | + | 0.388043i | ||||
\(682\) | −27.0986 | − | 15.6454i | −1.03766 | − | 0.599092i | ||||
\(683\) | 37.6792 | − | 21.7541i | 1.44175 | − | 0.832396i | 0.443786 | − | 0.896133i | \(-0.353635\pi\) |
0.997967 | + | 0.0637365i | \(0.0203017\pi\) | |||||||
\(684\) | −3.36784 | − | 7.52954i | −0.128772 | − | 0.287899i | ||||
\(685\) | − | 19.6616i | − | 0.751231i | ||||||
\(686\) | −6.12685 | − | 17.4775i | −0.233924 | − | 0.667293i | ||||
\(687\) | −6.66935 | + | 1.42359i | −0.254451 | + | 0.0543132i | ||||
\(688\) | −0.273155 | − | 0.473119i | −0.0104139 | − | 0.0180375i | ||||
\(689\) | 32.0399 | 1.22062 | ||||||||
\(690\) | −1.98658 | + | 1.79181i | −0.0756280 | + | 0.0682131i | ||||
\(691\) | − | 32.2260i | − | 1.22593i | −0.790108 | − | 0.612967i | \(-0.789976\pi\) | ||
0.790108 | − | 0.612967i | \(-0.210024\pi\) | |||||||
\(692\) | −4.63544 | −0.176213 | ||||||||
\(693\) | 12.2119 | − | 21.6176i | 0.463891 | − | 0.821184i | ||||
\(694\) | 12.5252 | 0.475451 | ||||||||
\(695\) | 12.1738i | 0.461777i | ||||||||
\(696\) | 0.774838 | + | 3.63003i | 0.0293702 | + | 0.137596i | ||||
\(697\) | −12.5865 | −0.476748 | ||||||||
\(698\) | 7.07599 | + | 12.2560i | 0.267830 | + | 0.463895i | ||||
\(699\) | −5.25294 | − | 5.82394i | −0.198684 | − | 0.220282i | ||||
\(700\) | −11.0145 | + | 1.24317i | −0.416310 | + | 0.0469873i | ||||
\(701\) | 21.8995i | 0.827133i | 0.910474 | + | 0.413566i | \(0.135717\pi\) | ||||
−0.910474 | + | 0.413566i | \(0.864283\pi\) | |||||||
\(702\) | 11.8733 | − | 1.27880i | 0.448130 | − | 0.0482651i | ||||
\(703\) | −22.5587 | + | 13.0243i | −0.850818 | + | 0.491220i | ||||
\(704\) | 2.70900 | + | 1.56404i | 0.102099 | + | 0.0589471i | ||||
\(705\) | −2.55866 | − | 11.9871i | −0.0963649 | − | 0.451459i | ||||
\(706\) | −4.30012 | − | 2.48267i | −0.161837 | − | 0.0934366i | ||||
\(707\) | −7.14942 | + | 0.806927i | −0.268882 | + | 0.0303476i | ||||
\(708\) | −13.1562 | − | 4.26226i | −0.494442 | − | 0.160186i | ||||
\(709\) | −18.0470 | −0.677770 | −0.338885 | − | 0.940828i | \(-0.610050\pi\) | ||||
−0.338885 | + | 0.940828i | \(0.610050\pi\) | |||||||
\(710\) | 6.36862 | + | 11.0308i | 0.239010 | + | 0.413977i | ||||
\(711\) | −15.9122 | − | 11.5193i | −0.596753 | − | 0.432006i | ||||
\(712\) | −10.3965 | − | 6.00244i | −0.389627 | − | 0.224951i | ||||
\(713\) | 8.58120 | + | 14.8631i | 0.321369 | + | 0.556627i | ||||
\(714\) | 17.6819 | + | 15.6499i | 0.661728 | + | 0.585683i | ||||
\(715\) | 3.23602 | − | 5.60494i | 0.121020 | − | 0.209613i | ||||
\(716\) | 5.25855 | − | 3.03602i | 0.196521 | − | 0.113462i | ||||
\(717\) | −10.1177 | − | 11.2175i | −0.377852 | − | 0.418925i | ||||
\(718\) | −8.66098 | + | 15.0013i | −0.323225 | + | 0.559842i | ||||
\(719\) | −4.65944 | + | 8.07039i | −0.173768 | + | 0.300975i | −0.939734 | − | 0.341906i | \(-0.888928\pi\) |
0.765966 | + | 0.642881i | \(0.222261\pi\) | |||||||
\(720\) | 0.277705 | − | 2.68646i | 0.0103495 | − | 0.100118i | ||||
\(721\) | 3.32854 | + | 1.45147i | 0.123961 | + | 0.0540557i | ||||
\(722\) | 9.90769 | − | 5.72021i | 0.368726 | − | 0.212884i | ||||
\(723\) | −22.9480 | − | 25.4425i | −0.853446 | − | 0.946217i | ||||
\(724\) | 7.12701i | 0.264873i | ||||||||
\(725\) | 8.97823i | 0.333443i | ||||||||
\(726\) | 2.05821 | − | 0.439328i | 0.0763872 | − | 0.0163050i | ||||
\(727\) | −6.73516 | + | 3.88855i | −0.249793 | + | 0.144218i | −0.619670 | − | 0.784863i | \(-0.712733\pi\) |
0.369876 | + | 0.929081i | \(0.379400\pi\) | |||||||
\(728\) | −6.04220 | + | 0.681960i | −0.223939 | + | 0.0252751i | ||||
\(729\) | −8.21136 | + | 25.7211i | −0.304124 | + | 0.952632i | ||||
\(730\) | −5.67531 | + | 9.82992i | −0.210053 | + | 0.363822i | ||||
\(731\) | −1.40750 | + | 2.43787i | −0.0520583 | + | 0.0901677i | ||||
\(732\) | 3.87240 | − | 11.9529i | 0.143128 | − | 0.441790i | ||||
\(733\) | 31.2841 | − | 18.0619i | 1.15550 | − | 0.667131i | 0.205282 | − | 0.978703i | \(-0.434189\pi\) |
0.950222 | + | 0.311572i | \(0.100856\pi\) | |||||||
\(734\) | −0.685884 | + | 1.18799i | −0.0253164 | + | 0.0438494i | ||||
\(735\) | 10.8723 | + | 0.964957i | 0.401031 | + | 0.0355930i | ||||
\(736\) | −0.857850 | − | 1.48584i | −0.0316208 | − | 0.0547688i | ||||
\(737\) | −9.94341 | − | 5.74083i | −0.366270 | − | 0.211466i | ||||
\(738\) | 2.99204 | + | 6.68937i | 0.110139 | + | 0.246239i | ||||
\(739\) | 12.0693 | + | 20.9046i | 0.443975 | + | 0.768987i | 0.997980 | − | 0.0635263i | \(-0.0202347\pi\) |
−0.554005 | + | 0.832513i | \(0.686901\pi\) | |||||||
\(740\) | −8.52907 | −0.313535 | ||||||||
\(741\) | −2.28471 | − | 10.7036i | −0.0839308 | − | 0.393207i | ||||
\(742\) | 14.7434 | − | 33.8099i | 0.541248 | − | 1.24120i | ||||
\(743\) | 10.5762 | + | 6.10618i | 0.388003 | + | 0.224014i | 0.681295 | − | 0.732009i | \(-0.261417\pi\) |
−0.293291 | + | 0.956023i | \(0.594751\pi\) | |||||||
\(744\) | −16.4826 | − | 5.33990i | −0.604280 | − | 0.195770i | ||||
\(745\) | 3.97186 | + | 2.29316i | 0.145518 | + | 0.0840147i | ||||
\(746\) | −4.16537 | + | 2.40488i | −0.152505 | + | 0.0880488i | ||||
\(747\) | −0.113788 | + | 1.10076i | −0.00416327 | + | 0.0402745i | ||||
\(748\) | − | 16.1183i | − | 0.589342i | ||||||
\(749\) | 4.23447 | + | 37.5177i | 0.154724 | + | 1.37087i | ||||
\(750\) | 4.41628 | − | 13.6316i | 0.161260 | − | 0.497757i | ||||
\(751\) | 11.7190 | + | 20.2980i | 0.427634 | + | 0.740684i | 0.996662 | − | 0.0816339i | \(-0.0260138\pi\) |
−0.569028 | + | 0.822318i | \(0.692680\pi\) | |||||||
\(752\) | 7.86068 | 0.286650 | ||||||||
\(753\) | 6.27443 | + | 2.03274i | 0.228653 | + | 0.0740773i | ||||
\(754\) | 4.92515i | 0.179364i | ||||||||
\(755\) | −19.0634 | −0.693788 | ||||||||
\(756\) | 4.11416 | − | 13.1177i | 0.149631 | − | 0.477086i | ||||
\(757\) | 3.52341 | 0.128060 | 0.0640302 | − | 0.997948i | \(-0.479605\pi\) | ||||
0.0640302 | + | 0.997948i | \(0.479605\pi\) | |||||||
\(758\) | 19.5669i | 0.710702i | ||||||||
\(759\) | 8.84316 | + | 2.86495i | 0.320987 | + | 0.103991i | ||||
\(760\) | −2.47523 | −0.0897861 | ||||||||
\(761\) | 10.7021 | + | 18.5365i | 0.387950 | + | 0.671949i | 0.992174 | − | 0.124866i | \(-0.0398500\pi\) |
−0.604224 | + | 0.796815i | \(0.706517\pi\) | |||||||
\(762\) | −3.25944 | + | 10.0609i | −0.118077 | + | 0.364466i | ||||
\(763\) | 5.59621 | − | 12.8333i | 0.202596 | − | 0.464597i | ||||
\(764\) | − | 14.4006i | − | 0.520997i | ||||||
\(765\) | −12.7036 | + | 5.68209i | −0.459299 | + | 0.205437i | ||||
\(766\) | −27.2536 | + | 15.7349i | −0.984712 | + | 0.568524i | ||||
\(767\) | −15.8917 | − | 9.17506i | −0.573815 | − | 0.331292i | ||||
\(768\) | 1.64774 | + | 0.533822i | 0.0594576 | + | 0.0192626i | ||||
\(769\) | −23.4043 | − | 13.5125i | −0.843982 | − | 0.487273i | 0.0146339 | − | 0.999893i | \(-0.495342\pi\) |
−0.858616 | + | 0.512620i | \(0.828675\pi\) | |||||||
\(770\) | −4.42549 | − | 5.99394i | −0.159484 | − | 0.216007i | ||||
\(771\) | −5.45074 | − | 25.5361i | −0.196304 | − | 0.919661i | ||||
\(772\) | −17.8115 | −0.641048 | ||||||||
\(773\) | 8.10280 | + | 14.0345i | 0.291437 | + | 0.504784i | 0.974150 | − | 0.225903i | \(-0.0725332\pi\) |
−0.682712 | + | 0.730687i | \(0.739200\pi\) | |||||||
\(774\) | 1.63024 | + | 0.168522i | 0.0585979 | + | 0.00605740i | ||||
\(775\) | −36.2939 | − | 20.9543i | −1.30371 | − | 0.752700i | ||||
\(776\) | −5.12003 | − | 8.86815i | −0.183798 | − | 0.318348i | ||||
\(777\) | −42.5422 | − | 8.66413i | −1.52619 | − | 0.310824i | ||||
\(778\) | −2.03303 | + | 3.52130i | −0.0728875 | + | 0.126245i | ||||
\(779\) | 5.81628 | − | 3.35803i | 0.208390 | − | 0.120314i | ||||
\(780\) | 1.10448 | − | 3.40918i | 0.0395468 | − | 0.122068i | ||||
\(781\) | 22.1288 | − | 38.3281i | 0.791829 | − | 1.37149i | ||||
\(782\) | −4.42029 | + | 7.65617i | −0.158069 | + | 0.273784i | ||||
\(783\) | −10.1843 | − | 4.50302i | −0.363958 | − | 0.160925i | ||||
\(784\) | −2.06074 | + | 6.68980i | −0.0735977 | + | 0.238921i | ||||
\(785\) | 0.280613 | − | 0.162012i | 0.0100155 | − | 0.00578246i | ||||
\(786\) | 13.4793 | − | 2.87718i | 0.480790 | − | 0.102626i | ||||
\(787\) | 38.2571i | 1.36372i | 0.731483 | + | 0.681860i | \(0.238829\pi\) | ||||
−0.731483 | + | 0.681860i | \(0.761171\pi\) | |||||||
\(788\) | 19.1025i | 0.680498i | ||||||||
\(789\) | −8.83894 | − | 9.79974i | −0.314674 | − | 0.348880i | ||||
\(790\) | −5.10515 | + | 2.94746i | −0.181633 | + | 0.104866i | ||||
\(791\) | −0.789335 | − | 6.99356i | −0.0280655 | − | 0.248662i | ||||
\(792\) | −8.56640 | + | 3.83161i | −0.304394 | + | 0.136150i | ||||
\(793\) | 8.33583 | − | 14.4381i | 0.296014 | − | 0.512712i | ||||
\(794\) | 2.20370 | − | 3.81692i | 0.0782064 | − | 0.135457i | ||||
\(795\) | 14.5595 | + | 16.1422i | 0.516374 | + | 0.572504i | ||||
\(796\) | −11.6008 | + | 6.69771i | −0.411179 | + | 0.237394i | ||||
\(797\) | 4.38709 | − | 7.59866i | 0.155399 | − | 0.269158i | −0.777805 | − | 0.628505i | \(-0.783667\pi\) |
0.933204 | + | 0.359347i | \(0.117000\pi\) | |||||||
\(798\) | −12.3462 | − | 2.51443i | −0.437051 | − | 0.0890098i | ||||
\(799\) | −20.2521 | − | 35.0776i | −0.716467 | − | 1.24096i | ||||
\(800\) | 3.62824 | + | 2.09477i | 0.128278 | + | 0.0740612i | ||||
\(801\) | 32.8759 | − | 14.7048i | 1.16161 | − | 0.519570i | ||||
\(802\) | 9.27141 | + | 16.0586i | 0.327385 | + | 0.567047i | ||||
\(803\) | 39.4395 | 1.39179 | ||||||||
\(804\) | −6.04802 | − | 1.95940i | −0.213297 | − | 0.0691025i | ||||
\(805\) | 0.458323 | + | 4.06077i | 0.0161538 | + | 0.143123i | ||||
\(806\) | −19.9096 | − | 11.4948i | −0.701286 | − | 0.404887i | ||||
\(807\) | −3.12913 | − | 14.6596i | −0.110150 | − | 0.516043i | ||||
\(808\) | 2.35506 | + | 1.35969i | 0.0828506 | + | 0.0478338i | ||||
\(809\) | 26.6053 | − | 15.3606i | 0.935394 | − | 0.540050i | 0.0468805 | − | 0.998901i | \(-0.485072\pi\) |
0.888513 | + | 0.458851i | \(0.151739\pi\) | |||||||
\(810\) | 6.03974 | + | 5.40085i | 0.212215 | + | 0.189766i | ||||
\(811\) | 8.70634i | 0.305721i | 0.988248 | + | 0.152861i | \(0.0488485\pi\) | ||||
−0.988248 | + | 0.152861i | \(0.951151\pi\) | |||||||
\(812\) | 5.19723 | + | 2.26635i | 0.182387 | + | 0.0795332i | ||||
\(813\) | −20.9785 | − | 23.2589i | −0.735750 | − | 0.815726i | ||||
\(814\) | 14.8178 | + | 25.6652i | 0.519363 | + | 0.899564i | ||||
\(815\) | −11.1387 | −0.390172 | ||||||||
\(816\) | −1.86306 | − | 8.72821i | −0.0652200 | − | 0.305549i | ||||
\(817\) | − | 1.50206i | − | 0.0525506i | ||||||
\(818\) | 24.8902 | 0.870265 | ||||||||
\(819\) | 8.97220 | − | 15.8827i | 0.313514 | − | 0.554985i | ||||
\(820\) | 2.19904 | 0.0767937 | ||||||||
\(821\) | − | 52.4347i | − | 1.82998i | −0.403473 | − | 0.914992i | \(-0.632197\pi\) | ||
0.403473 | − | 0.914992i | \(-0.367803\pi\) | |||||||
\(822\) | −28.0899 | + | 25.3359i | −0.979749 | + | 0.883691i | ||||
\(823\) | 8.36398 | 0.291550 | 0.145775 | − | 0.989318i | \(-0.453432\pi\) | ||||
0.145775 | + | 0.989318i | \(0.453432\pi\) | |||||||
\(824\) | −0.686242 | − | 1.18861i | −0.0239064 | − | 0.0414070i | ||||
\(825\) | −22.1988 | + | 4.73839i | −0.772865 | + | 0.164970i | ||||
\(826\) | −16.9946 | + | 12.5476i | −0.591317 | + | 0.436586i | ||||
\(827\) | 26.4934i | 0.921267i | 0.887590 | + | 0.460634i | \(0.152378\pi\) | ||||
−0.887590 | + | 0.460634i | \(0.847622\pi\) | |||||||
\(828\) | 5.11982 | + | 0.529247i | 0.177926 | + | 0.0183926i | ||||
\(829\) | −5.14134 | + | 2.96835i | −0.178566 | + | 0.103095i | −0.586619 | − | 0.809863i | \(-0.699541\pi\) |
0.408053 | + | 0.912958i | \(0.366208\pi\) | |||||||
\(830\) | 0.287591 | + | 0.166041i | 0.00998243 | + | 0.00576336i | ||||
\(831\) | −12.8379 | + | 11.5792i | −0.445340 | + | 0.401678i | ||||
\(832\) | 1.99033 | + | 1.14912i | 0.0690024 | + | 0.0398385i | ||||
\(833\) | 35.1619 | − | 8.03958i | 1.21829 | − | 0.278555i | ||||
\(834\) | 17.3923 | − | 15.6871i | 0.602246 | − | 0.543200i | ||||
\(835\) | 13.3394 | 0.461629 | ||||||||
\(836\) | 4.30029 | + | 7.44832i | 0.148729 | + | 0.257606i | ||||
\(837\) | 41.9723 | − | 30.6598i | 1.45078 | − | 1.05976i | ||||
\(838\) | −4.45869 | − | 2.57422i | −0.154023 | − | 0.0889251i | ||||
\(839\) | −3.80537 | − | 6.59110i | −0.131376 | − | 0.227550i | 0.792831 | − | 0.609441i | \(-0.208606\pi\) |
−0.924207 | + | 0.381891i | \(0.875273\pi\) | |||||||
\(840\) | −3.08927 | − | 2.73425i | −0.106590 | − | 0.0943407i | ||||
\(841\) | −12.2037 | + | 21.1375i | −0.420819 | + | 0.728880i | ||||
\(842\) | 23.3864 | − | 13.5022i | 0.805950 | − | 0.465315i | ||||
\(843\) | −25.4854 | + | 5.43990i | −0.877763 | + | 0.187360i | ||||
\(844\) | 9.37193 | − | 16.2327i | 0.322595 | − | 0.558751i | ||||
\(845\) | −3.47414 | + | 6.01739i | −0.119514 | + | 0.207004i | ||||
\(846\) | −13.8285 | + | 19.1020i | −0.475433 | + | 0.656740i | ||||
\(847\) | 1.28500 | − | 2.94680i | 0.0441533 | − | 0.101253i | ||||
\(848\) | −12.0733 | + | 6.97054i | −0.414600 | + | 0.239369i | ||||
\(849\) | −2.15094 | + | 6.63927i | −0.0738202 | + | 0.227859i | ||||
\(850\) | − | 21.5877i | − | 0.740450i | ||||||
\(851\) | − | 16.2546i | − | 0.557200i | ||||||
\(852\) | 7.55274 | − | 23.3129i | 0.258753 | − | 0.798686i | ||||
\(853\) | −24.8764 | + | 14.3624i | −0.851751 | + | 0.491759i | −0.861241 | − | 0.508196i | \(-0.830312\pi\) |
0.00949029 | + | 0.999955i | \(0.496979\pi\) | |||||||
\(854\) | −11.3999 | − | 15.4401i | −0.390096 | − | 0.528350i | ||||
\(855\) | 4.35442 | − | 6.01498i | 0.148918 | − | 0.205708i | ||||
\(856\) | 7.13519 | − | 12.3585i | 0.243876 | − | 0.422405i | ||||
\(857\) | −20.1198 | + | 34.8486i | −0.687280 | + | 1.19040i | 0.285434 | + | 0.958398i | \(0.407862\pi\) |
−0.972714 | + | 0.232006i | \(0.925471\pi\) | |||||||
\(858\) | −12.1775 | + | 2.59932i | −0.415734 | + | 0.0887394i | ||||
\(859\) | −13.3256 | + | 7.69355i | −0.454664 | + | 0.262501i | −0.709798 | − | 0.704405i | \(-0.751214\pi\) |
0.255134 | + | 0.966906i | \(0.417881\pi\) | |||||||
\(860\) | 0.245910 | − | 0.425929i | 0.00838547 | − | 0.0145241i | ||||
\(861\) | 10.9686 | + | 2.23386i | 0.373808 | + | 0.0761297i | ||||
\(862\) | −4.68159 | − | 8.10874i | −0.159455 | − | 0.276185i | ||||
\(863\) | 16.6494 | + | 9.61252i | 0.566751 | + | 0.327214i | 0.755851 | − | 0.654744i | \(-0.227224\pi\) |
−0.189099 | + | 0.981958i | \(0.560557\pi\) | |||||||
\(864\) | −4.19591 | + | 3.06502i | −0.142748 | + | 0.104274i | ||||
\(865\) | −2.08655 | − | 3.61400i | −0.0709447 | − | 0.122880i | ||||
\(866\) | −21.0373 | −0.714876 | ||||||||
\(867\) | −12.2841 | + | 11.0797i | −0.417189 | + | 0.376286i | ||||
\(868\) | −21.2914 | + | 15.7200i | −0.722676 | + | 0.533572i | ||||
\(869\) | 17.7386 | + | 10.2414i | 0.601742 | + | 0.347416i | ||||
\(870\) | −2.48136 | + | 2.23808i | −0.0841261 | + | 0.0758781i | ||||
\(871\) | −7.30552 | − | 4.21785i | −0.247538 | − | 0.142916i | ||||
\(872\) | −4.58271 | + | 2.64583i | −0.155190 | + | 0.0895991i | ||||
\(873\) | 30.5573 | + | 3.15878i | 1.03421 | + | 0.106909i | ||||
\(874\) | − | 4.71727i | − | 0.159564i | ||||||
\(875\) | −13.0010 | − | 17.6087i | −0.439514 | − | 0.595283i | ||||
\(876\) | 21.3569 | − | 4.55868i | 0.721583 | − | 0.154023i | ||||
\(877\) | 5.39035 | + | 9.33636i | 0.182019 | + | 0.315267i | 0.942568 | − | 0.334014i | \(-0.108403\pi\) |
−0.760549 | + | 0.649281i | \(0.775070\pi\) | |||||||
\(878\) | 20.4229 | 0.689238 | ||||||||
\(879\) | 16.9674 | − | 15.3038i | 0.572296 | − | 0.516186i | ||||
\(880\) | 2.81608i | 0.0949302i | ||||||||
\(881\) | −44.2875 | −1.49208 | −0.746041 | − | 0.665900i | \(-0.768048\pi\) | ||||
−0.746041 | + | 0.665900i | \(0.768048\pi\) | |||||||
\(882\) | −12.6314 | − | 16.7764i | −0.425322 | − | 0.564890i | ||||
\(883\) | −47.6098 | −1.60220 | −0.801098 | − | 0.598533i | \(-0.795751\pi\) | ||||
−0.801098 | + | 0.598533i | \(0.795751\pi\) | |||||||
\(884\) | − | 11.8423i | − | 0.398298i | ||||||
\(885\) | −2.59895 | − | 12.1758i | −0.0873626 | − | 0.409284i | ||||
\(886\) | 32.3649 | 1.08732 | ||||||||
\(887\) | 0.989965 | + | 1.71467i | 0.0332398 | + | 0.0575730i | 0.882167 | − | 0.470937i | \(-0.156084\pi\) |
−0.848927 | + | 0.528510i | \(0.822751\pi\) | |||||||
\(888\) | 10.9905 | + | 12.1852i | 0.368818 | + | 0.408909i | ||||
\(889\) | 9.59541 | + | 12.9961i | 0.321820 | + | 0.435876i | ||||
\(890\) | − | 10.8075i | − | 0.362268i | ||||||
\(891\) | 5.75889 | − | 27.5575i | 0.192930 | − | 0.923210i | ||||
\(892\) | −2.21609 | + | 1.27946i | −0.0742001 | + | 0.0428395i | ||||
\(893\) | 18.7172 | + | 10.8064i | 0.626346 | + | 0.361621i | ||||
\(894\) | −1.84197 | − | 8.62944i | −0.0616047 | − | 0.288612i | ||||
\(895\) | 4.73405 | + | 2.73320i | 0.158242 | + | 0.0913609i | ||||
\(896\) | 2.12847 | − | 1.57151i | 0.0711071 | − | 0.0525003i | ||||
\(897\) | 6.49717 | + | 2.10491i | 0.216934 | + | 0.0702807i | ||||
\(898\) | 21.5693 | 0.719776 | ||||||||
\(899\) | 10.7184 | + | 18.5649i | 0.357480 | + | 0.619173i | ||||
\(900\) | −11.4732 | + | 5.13178i | −0.382441 | + | 0.171059i | ||||
\(901\) | 62.2109 | + | 35.9175i | 2.07255 | + | 1.19659i | ||||
\(902\) | −3.82045 | − | 6.61721i | −0.127207 | − | 0.220329i | ||||
\(903\) | 1.65925 | − | 1.87469i | 0.0552164 | − | 0.0623857i | ||||
\(904\) | −1.33005 | + | 2.30371i | −0.0442368 | + | 0.0766204i | ||||
\(905\) | −5.55654 | + | 3.20807i | −0.184706 | + | 0.106640i | ||||
\(906\) | 24.5651 | + | 27.2353i | 0.816119 | + | 0.904832i | ||||
\(907\) | −17.0252 | + | 29.4886i | −0.565314 | + | 0.979152i | 0.431707 | + | 0.902014i | \(0.357912\pi\) |
−0.997020 | + | 0.0771381i | \(0.975422\pi\) | |||||||
\(908\) | 4.36455 | − | 7.55962i | 0.144843 | − | 0.250875i | ||||
\(909\) | −7.44715 | + | 3.33099i | −0.247006 | + | 0.110482i | ||||
\(910\) | −3.25146 | − | 4.40381i | −0.107785 | − | 0.145985i | ||||
\(911\) | −6.58371 | + | 3.80111i | −0.218128 | + | 0.125936i | −0.605083 | − | 0.796162i | \(-0.706860\pi\) |
0.386955 | + | 0.922099i | \(0.373527\pi\) | |||||||
\(912\) | 3.18958 | + | 3.53629i | 0.105618 | + | 0.117098i | ||||
\(913\) | − | 1.15387i | − | 0.0381875i | ||||||
\(914\) | 21.0700i | 0.696932i | ||||||||
\(915\) | 11.0621 | − | 2.36122i | 0.365701 | − | 0.0780597i | ||||
\(916\) | 3.40979 | − | 1.96865i | 0.112663 | − | 0.0650459i | ||||
\(917\) | 8.41556 | − | 19.2987i | 0.277906 | − | 0.637300i | ||||
\(918\) | 24.4876 | + | 10.8273i | 0.808212 | + | 0.357353i | ||||
\(919\) | −4.11136 | + | 7.12109i | −0.135621 | + | 0.234903i | −0.925835 | − | 0.377929i | \(-0.876636\pi\) |
0.790213 | + | 0.612832i | \(0.209970\pi\) | |||||||
\(920\) | 0.772286 | − | 1.33764i | 0.0254615 | − | 0.0441006i | ||||
\(921\) | −15.3575 | + | 47.4038i | −0.506048 | + | 1.56201i | ||||
\(922\) | −27.4378 | + | 15.8412i | −0.903617 | + | 0.521704i | ||||
\(923\) | 16.2582 | − | 28.1601i | 0.535146 | − | 0.926900i | ||||
\(924\) | −2.86068 | + | 14.0464i | −0.0941094 | + | 0.462091i | ||||
\(925\) | 19.8459 | + | 34.3741i | 0.652529 | + | 1.13021i | ||||
\(926\) | 7.62202 | + | 4.40058i | 0.250475 | + | 0.144612i | ||||
\(927\) | 4.09563 | + | 0.423374i | 0.134518 | + | 0.0139054i | ||||
\(928\) | −1.07151 | − | 1.85590i | −0.0351739 | − | 0.0609230i | ||||
\(929\) | 5.07963 | 0.166657 | 0.0833287 | − | 0.996522i | \(-0.473445\pi\) | ||||
0.0833287 | + | 0.996522i | \(0.473445\pi\) | |||||||
\(930\) | −3.25604 | − | 15.2542i | −0.106770 | − | 0.500205i | ||||
\(931\) | −14.1035 | + | 13.0962i | −0.462225 | + | 0.429210i | ||||
\(932\) | 3.92147 | + | 2.26406i | 0.128452 | + | 0.0741618i | ||||
\(933\) | 50.8256 | + | 16.4661i | 1.66395 | + | 0.539076i | ||||
\(934\) | 16.4449 | + | 9.49444i | 0.538092 | + | 0.310668i | ||||
\(935\) | 12.5665 | − | 7.25530i | 0.410970 | − | 0.237274i | ||||
\(936\) | −6.29382 | + | 2.81512i | −0.205720 | + | 0.0920151i | ||||
\(937\) | − | 10.8127i | − | 0.353236i | −0.984280 | − | 0.176618i | \(-0.943484\pi\) | ||
0.984280 | − | 0.176618i | \(-0.0565157\pi\) | |||||||
\(938\) | −7.81254 | + | 5.76822i | −0.255089 | + | 0.188339i | ||||
\(939\) | −9.80422 | + | 30.2625i | −0.319949 | + | 0.987578i | ||||
\(940\) | 3.53832 | + | 6.12855i | 0.115407 | + | 0.199891i | ||||
\(941\) | −19.1639 | −0.624724 | −0.312362 | − | 0.949963i | \(-0.601120\pi\) | ||||
−0.312362 | + | 0.949963i | \(0.601120\pi\) | |||||||
\(942\) | −0.593059 | − | 0.192135i | −0.0193229 | − | 0.00626010i | ||||
\(943\) | 4.19090i | 0.136474i | ||||||||
\(944\) | 7.98443 | 0.259871 | ||||||||
\(945\) | 12.0791 | − | 2.69706i | 0.392932 | − | 0.0877352i | ||||
\(946\) | −1.70891 | −0.0555613 | ||||||||
\(947\) | 25.3953i | 0.825237i | 0.910904 | + | 0.412618i | \(0.135386\pi\) | ||||
−0.910904 | + | 0.412618i | \(0.864614\pi\) | |||||||
\(948\) | 10.7894 | + | 3.49548i | 0.350425 | + | 0.113528i | ||||
\(949\) | 28.9766 | 0.940620 | ||||||||
\(950\) | 5.75950 | + | 9.97575i | 0.186863 | + | 0.323656i | ||||
\(951\) | 9.31839 | − | 28.7629i | 0.302170 | − | 0.932700i | ||||
\(952\) | −12.4964 | − | 5.44931i | −0.405012 | − | 0.176613i | ||||
\(953\) | − | 18.4818i | − | 0.598686i | −0.954146 | − | 0.299343i | \(-0.903233\pi\) | ||
0.954146 | − | 0.299343i | \(-0.0967674\pi\) | |||||||
\(954\) | 4.30045 | − | 41.6016i | 0.139232 | − | 1.34690i | ||||
\(955\) | 11.2274 | − | 6.48215i | 0.363310 | − | 0.209757i | ||||
\(956\) | 7.55315 | + | 4.36081i | 0.244286 | + | 0.141039i | ||||
\(957\) | 11.0456 | + | 3.57849i | 0.357055 | + | 0.115676i | ||||
\(958\) | 20.9060 | + | 12.0701i | 0.675441 | + | 0.389966i | ||||
\(959\) | 6.48060 | + | 57.4185i | 0.209270 | + | 1.85414i | ||||
\(960\) | 0.325502 | + | 1.52494i | 0.0105055 | + | 0.0492172i | ||||
\(961\) | −69.0630 | −2.22784 | ||||||||
\(962\) | 10.8868 | + | 18.8565i | 0.351004 | + | 0.607957i | ||||
\(963\) | 17.4798 | + | 39.0800i | 0.563280 | + | 1.25934i | ||||
\(964\) | 17.1314 | + | 9.89079i | 0.551764 | + | 0.318561i | ||||
\(965\) | −8.01745 | − | 13.8866i | −0.258091 | − | 0.447026i | ||||
\(966\) | 5.21091 | − | 5.88749i | 0.167658 | − | 0.189427i | ||||
\(967\) | −9.64551 | + | 16.7065i | −0.310179 | + | 0.537245i | −0.978401 | − | 0.206717i | \(-0.933722\pi\) |
0.668222 | + | 0.743962i | \(0.267056\pi\) | |||||||
\(968\) | −1.05229 | + | 0.607537i | −0.0338217 | + | 0.0195270i | ||||
\(969\) | 7.56284 | − | 23.3441i | 0.242953 | − | 0.749919i | ||||
\(970\) | 4.60935 | − | 7.98362i | 0.147997 | − | 0.256339i | ||||
\(971\) | −0.975444 | + | 1.68952i | −0.0313035 | + | 0.0542192i | −0.881253 | − | 0.472645i | \(-0.843299\pi\) |
0.849949 | + | 0.526865i | \(0.176633\pi\) | |||||||
\(972\) | −0.0667715 | − | 15.5883i | −0.00214170 | − | 0.499995i | ||||
\(973\) | −4.01256 | − | 35.5515i | −0.128637 | − | 1.13973i | ||||
\(974\) | −12.2204 | + | 7.05542i | −0.391565 | + | 0.226070i | ||||
\(975\) | −16.3097 | + | 3.48135i | −0.522329 | + | 0.111492i | ||||
\(976\) | 7.25411i | 0.232198i | ||||||||
\(977\) | − | 16.7265i | − | 0.535129i | −0.963540 | − | 0.267564i | \(-0.913781\pi\) | ||
0.963540 | − | 0.267564i | \(-0.0862188\pi\) | |||||||
\(978\) | 14.3533 | + | 15.9136i | 0.458969 | + | 0.508859i | ||||
\(979\) | −32.5213 | + | 18.7762i | −1.03938 | + | 0.600089i | ||||
\(980\) | −6.14327 | + | 1.40463i | −0.196240 | + | 0.0448691i | ||||
\(981\) | 1.63233 | − | 15.7908i | 0.0521164 | − | 0.504162i | ||||
\(982\) | 10.8740 | − | 18.8344i | 0.347004 | − | 0.601028i | ||||
\(983\) | −16.1458 | + | 27.9653i | −0.514970 | + | 0.891955i | 0.484879 | + | 0.874581i | \(0.338864\pi\) |
−0.999849 | + | 0.0173733i | \(0.994470\pi\) | |||||||
\(984\) | −2.83368 | − | 3.14170i | −0.0903343 | − | 0.100154i | ||||
\(985\) | −14.8932 | + | 8.59858i | −0.474536 | + | 0.273974i | ||||
\(986\) | −5.52121 | + | 9.56302i | −0.175831 | + | 0.304549i | ||||
\(987\) | 11.4232 | + | 34.1629i | 0.363604 | + | 1.08742i | ||||
\(988\) | 3.15947 | + | 5.47236i | 0.100516 | + | 0.174099i | ||||
\(989\) | 0.811730 | + | 0.468652i | 0.0258115 | + | 0.0149023i | ||||
\(990\) | −6.84328 | − | 4.95404i | −0.217494 | − | 0.157450i | ||||
\(991\) | 4.25134 | + | 7.36353i | 0.135048 | + | 0.233910i | 0.925616 | − | 0.378464i | \(-0.123548\pi\) |
−0.790568 | + | 0.612375i | \(0.790214\pi\) | |||||||
\(992\) | 10.0032 | 0.317600 | ||||||||
\(993\) | 17.1850 | + | 5.56746i | 0.545348 | + | 0.176678i | ||||
\(994\) | −22.2343 | − | 30.1144i | −0.705231 | − | 0.955172i | ||||
\(995\) | −10.4437 | − | 6.02967i | −0.331087 | − | 0.191153i | ||||
\(996\) | −0.133372 | − | 0.624832i | −0.00422605 | − | 0.0197986i | ||||
\(997\) | 9.78395 | + | 5.64877i | 0.309861 | + | 0.178898i | 0.646864 | − | 0.762605i | \(-0.276080\pi\) |
−0.337003 | + | 0.941503i | \(0.609413\pi\) | |||||||
\(998\) | −7.29596 | + | 4.21233i | −0.230950 | + | 0.133339i | ||||
\(999\) | −48.9454 | + | 5.27159i | −1.54857 | + | 0.166786i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))