Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [40,2,Mod(3,40)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(40, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("40.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 40 = 2^{3} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 40.k (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: | \(0.319401608085\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(i)\) |
Coefficient field: | \(\Q(\zeta_{20})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{8} - x^{6} + x^{4} - x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 27.3 | ||
Root | \(-0.951057 + 0.309017i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 40.27 |
Dual form | 40.2.k.a.3.3 |
$q$-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 \(\left(\mathbb{Z}/40\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(21\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.221232 | − | 1.39680i | −0.156434 | − | 0.987688i | ||||
\(3\) | 0.618034 | − | 0.618034i | 0.356822 | − | 0.356822i | −0.505818 | − | 0.862640i | \(-0.668809\pi\) |
0.862640 | + | 0.505818i | \(0.168809\pi\) | |||||||
\(4\) | −1.90211 | + | 0.618034i | −0.951057 | + | 0.309017i | ||||
\(5\) | −1.17557 | + | 1.90211i | −0.525731 | + | 0.850651i | ||||
\(6\) | −1.00000 | − | 0.726543i | −0.408248 | − | 0.296610i | ||||
\(7\) | 1.90211 | − | 1.90211i | 0.718931 | − | 0.718931i | −0.249455 | − | 0.968386i | \(-0.580252\pi\) |
0.968386 | + | 0.249455i | \(0.0802515\pi\) | |||||||
\(8\) | 1.28408 | + | 2.52015i | 0.453990 | + | 0.891007i | ||||
\(9\) | 2.23607i | 0.745356i | ||||||||
\(10\) | 2.91695 | + | 1.22123i | 0.922420 | + | 0.386187i | ||||
\(11\) | −3.23607 | −0.975711 | −0.487856 | − | 0.872924i | \(-0.662221\pi\) | ||||
−0.487856 | + | 0.872924i | \(0.662221\pi\) | |||||||
\(12\) | −0.793604 | + | 1.55754i | −0.229094 | + | 0.449622i | ||||
\(13\) | −0.726543 | − | 0.726543i | −0.201507 | − | 0.201507i | 0.599139 | − | 0.800645i | \(-0.295510\pi\) |
−0.800645 | + | 0.599139i | \(0.795510\pi\) | |||||||
\(14\) | −3.07768 | − | 2.23607i | −0.822546 | − | 0.597614i | ||||
\(15\) | 0.449028 | + | 1.90211i | 0.115939 | + | 0.491123i | ||||
\(16\) | 3.23607 | − | 2.35114i | 0.809017 | − | 0.587785i | ||||
\(17\) | −1.00000 | − | 1.00000i | −0.242536 | − | 0.242536i | 0.575363 | − | 0.817898i | \(-0.304861\pi\) |
−0.817898 | + | 0.575363i | \(0.804861\pi\) | |||||||
\(18\) | 3.12334 | − | 0.494689i | 0.736179 | − | 0.116599i | ||||
\(19\) | − | 2.00000i | − | 0.458831i | −0.973329 | − | 0.229416i | \(-0.926318\pi\) | ||
0.973329 | − | 0.229416i | \(-0.0736815\pi\) | |||||||
\(20\) | 1.06050 | − | 4.34458i | 0.237134 | − | 0.971477i | ||||
\(21\) | − | 2.35114i | − | 0.513061i | ||||||
\(22\) | 0.715921 | + | 4.52015i | 0.152635 | + | 0.963699i | ||||
\(23\) | −4.25325 | − | 4.25325i | −0.886865 | − | 0.886865i | 0.107356 | − | 0.994221i | \(-0.465762\pi\) |
−0.994221 | + | 0.107356i | \(0.965762\pi\) | |||||||
\(24\) | 2.35114 | + | 0.763932i | 0.479925 | + | 0.155937i | ||||
\(25\) | −2.23607 | − | 4.47214i | −0.447214 | − | 0.894427i | ||||
\(26\) | −0.854102 | + | 1.17557i | −0.167503 | + | 0.230548i | ||||
\(27\) | 3.23607 | + | 3.23607i | 0.622782 | + | 0.622782i | ||||
\(28\) | −2.44246 | + | 4.79360i | −0.461582 | + | 0.905906i | ||||
\(29\) | 6.15537 | 1.14302 | 0.571511 | − | 0.820594i | \(-0.306357\pi\) | ||||
0.571511 | + | 0.820594i | \(0.306357\pi\) | |||||||
\(30\) | 2.55754 | − | 1.04801i | 0.466940 | − | 0.191340i | ||||
\(31\) | 8.50651i | 1.52781i | 0.645326 | + | 0.763907i | \(0.276721\pi\) | ||||
−0.645326 | + | 0.763907i | \(0.723279\pi\) | |||||||
\(32\) | −4.00000 | − | 4.00000i | −0.707107 | − | 0.707107i | ||||
\(33\) | −2.00000 | + | 2.00000i | −0.348155 | + | 0.348155i | ||||
\(34\) | −1.17557 | + | 1.61803i | −0.201609 | + | 0.277491i | ||||
\(35\) | 1.38197 | + | 5.85410i | 0.233595 | + | 0.989524i | ||||
\(36\) | −1.38197 | − | 4.25325i | −0.230328 | − | 0.708876i | ||||
\(37\) | 0.726543 | − | 0.726543i | 0.119443 | − | 0.119443i | −0.644859 | − | 0.764302i | \(-0.723084\pi\) |
0.764302 | + | 0.644859i | \(0.223084\pi\) | |||||||
\(38\) | −2.79360 | + | 0.442463i | −0.453182 | + | 0.0717771i | ||||
\(39\) | −0.898056 | −0.143804 | ||||||||
\(40\) | −6.30313 | − | 0.520147i | −0.996612 | − | 0.0822425i | ||||
\(41\) | 5.70820 | 0.891472 | 0.445736 | − | 0.895165i | \(-0.352942\pi\) | ||||
0.445736 | + | 0.895165i | \(0.352942\pi\) | |||||||
\(42\) | −3.28408 | + | 0.520147i | −0.506744 | + | 0.0802604i | ||||
\(43\) | 4.61803 | − | 4.61803i | 0.704244 | − | 0.704244i | −0.261075 | − | 0.965319i | \(-0.584077\pi\) |
0.965319 | + | 0.261075i | \(0.0840770\pi\) | |||||||
\(44\) | 6.15537 | − | 2.00000i | 0.927957 | − | 0.301511i | ||||
\(45\) | −4.25325 | − | 2.62866i | −0.634038 | − | 0.391857i | ||||
\(46\) | −5.00000 | + | 6.88191i | −0.737210 | + | 1.01468i | ||||
\(47\) | −3.35520 | + | 3.35520i | −0.489406 | + | 0.489406i | −0.908119 | − | 0.418713i | \(-0.862481\pi\) |
0.418713 | + | 0.908119i | \(0.362481\pi\) | |||||||
\(48\) | 0.546915 | − | 3.45309i | 0.0789404 | − | 0.498410i | ||||
\(49\) | − | 0.236068i | − | 0.0337240i | ||||||
\(50\) | −5.75200 | + | 4.11272i | −0.813456 | + | 0.581627i | ||||
\(51\) | −1.23607 | −0.173084 | ||||||||
\(52\) | 1.83099 | + | 0.932938i | 0.253913 | + | 0.129375i | ||||
\(53\) | 3.07768 | + | 3.07768i | 0.422752 | + | 0.422752i | 0.886150 | − | 0.463398i | \(-0.153370\pi\) |
−0.463398 | + | 0.886150i | \(0.653370\pi\) | |||||||
\(54\) | 3.80423 | − | 5.23607i | 0.517690 | − | 0.712539i | ||||
\(55\) | 3.80423 | − | 6.15537i | 0.512962 | − | 0.829990i | ||||
\(56\) | 7.23607 | + | 2.35114i | 0.966960 | + | 0.314184i | ||||
\(57\) | −1.23607 | − | 1.23607i | −0.163721 | − | 0.163721i | ||||
\(58\) | −1.36176 | − | 8.59783i | −0.178808 | − | 1.12895i | ||||
\(59\) | − | 0.472136i | − | 0.0614669i | −0.999528 | − | 0.0307334i | \(-0.990216\pi\) | ||
0.999528 | − | 0.0307334i | \(-0.00978430\pi\) | |||||||
\(60\) | −2.02967 | − | 3.34052i | −0.262030 | − | 0.431259i | ||||
\(61\) | − | 0.898056i | − | 0.114984i | −0.998346 | − | 0.0574921i | \(-0.981690\pi\) | ||
0.998346 | − | 0.0574921i | \(-0.0183104\pi\) | |||||||
\(62\) | 11.8819 | − | 1.88191i | 1.50900 | − | 0.239003i | ||||
\(63\) | 4.25325 | + | 4.25325i | 0.535860 | + | 0.535860i | ||||
\(64\) | −4.70228 | + | 6.47214i | −0.587785 | + | 0.809017i | ||||
\(65\) | 2.23607 | − | 0.527864i | 0.277350 | − | 0.0654735i | ||||
\(66\) | 3.23607 | + | 2.35114i | 0.398332 | + | 0.289405i | ||||
\(67\) | −4.61803 | − | 4.61803i | −0.564183 | − | 0.564183i | 0.366310 | − | 0.930493i | \(-0.380621\pi\) |
−0.930493 | + | 0.366310i | \(0.880621\pi\) | |||||||
\(68\) | 2.52015 | + | 1.28408i | 0.305613 | + | 0.155717i | ||||
\(69\) | −5.25731 | −0.632906 | ||||||||
\(70\) | 7.87129 | − | 3.22545i | 0.940799 | − | 0.385515i | ||||
\(71\) | − | 11.4127i | − | 1.35444i | −0.735783 | − | 0.677218i | \(-0.763185\pi\) | ||
0.735783 | − | 0.677218i | \(-0.236815\pi\) | |||||||
\(72\) | −5.63522 | + | 2.87129i | −0.664117 | + | 0.338385i | ||||
\(73\) | −4.70820 | + | 4.70820i | −0.551054 | + | 0.551054i | −0.926745 | − | 0.375691i | \(-0.877405\pi\) |
0.375691 | + | 0.926745i | \(0.377405\pi\) | |||||||
\(74\) | −1.17557 | − | 0.854102i | −0.136657 | − | 0.0992873i | ||||
\(75\) | −4.14590 | − | 1.38197i | −0.478727 | − | 0.159576i | ||||
\(76\) | 1.23607 | + | 3.80423i | 0.141787 | + | 0.436375i | ||||
\(77\) | −6.15537 | + | 6.15537i | −0.701469 | + | 0.701469i | ||||
\(78\) | 0.198678 | + | 1.25441i | 0.0224959 | + | 0.142034i | ||||
\(79\) | −2.90617 | −0.326970 | −0.163485 | − | 0.986546i | \(-0.552273\pi\) | ||||
−0.163485 | + | 0.986546i | \(0.552273\pi\) | |||||||
\(80\) | 0.667910 | + | 8.91930i | 0.0746746 | + | 0.997208i | ||||
\(81\) | −2.70820 | −0.300912 | ||||||||
\(82\) | −1.26284 | − | 7.97323i | −0.139457 | − | 0.880496i | ||||
\(83\) | −6.61803 | + | 6.61803i | −0.726424 | + | 0.726424i | −0.969905 | − | 0.243482i | \(-0.921710\pi\) |
0.243482 | + | 0.969905i | \(0.421710\pi\) | |||||||
\(84\) | 1.45309 | + | 4.47214i | 0.158545 | + | 0.487950i | ||||
\(85\) | 3.07768 | − | 0.726543i | 0.333822 | − | 0.0788046i | ||||
\(86\) | −7.47214 | − | 5.42882i | −0.805741 | − | 0.585405i | ||||
\(87\) | 3.80423 | − | 3.80423i | 0.407856 | − | 0.407856i | ||||
\(88\) | −4.15537 | − | 8.15537i | −0.442964 | − | 0.869365i | ||||
\(89\) | 2.47214i | 0.262046i | 0.991379 | + | 0.131023i | \(0.0418262\pi\) | ||||
−0.991379 | + | 0.131023i | \(0.958174\pi\) | |||||||
\(90\) | −2.73076 | + | 6.52250i | −0.287847 | + | 0.687532i | ||||
\(91\) | −2.76393 | −0.289739 | ||||||||
\(92\) | 10.7188 | + | 5.46151i | 1.11751 | + | 0.569402i | ||||
\(93\) | 5.25731 | + | 5.25731i | 0.545158 | + | 0.545158i | ||||
\(94\) | 5.42882 | + | 3.94427i | 0.559940 | + | 0.406821i | ||||
\(95\) | 3.80423 | + | 2.35114i | 0.390305 | + | 0.241222i | ||||
\(96\) | −4.94427 | −0.504623 | ||||||||
\(97\) | 4.23607 | + | 4.23607i | 0.430108 | + | 0.430108i | 0.888665 | − | 0.458557i | \(-0.151634\pi\) |
−0.458557 | + | 0.888665i | \(0.651634\pi\) | |||||||
\(98\) | −0.329740 | + | 0.0522257i | −0.0333088 | + | 0.00527560i | ||||
\(99\) | − | 7.23607i | − | 0.727252i | ||||||
\(100\) | 7.01719 | + | 7.12454i | 0.701719 | + | 0.712454i | ||||
\(101\) | − | 2.90617i | − | 0.289175i | −0.989492 | − | 0.144587i | \(-0.953815\pi\) | ||
0.989492 | − | 0.144587i | \(-0.0461855\pi\) | |||||||
\(102\) | 0.273457 | + | 1.72654i | 0.0270763 | + | 0.170953i | ||||
\(103\) | 3.35520 | + | 3.35520i | 0.330597 | + | 0.330597i | 0.852813 | − | 0.522216i | \(-0.174894\pi\) |
−0.522216 | + | 0.852813i | \(0.674894\pi\) | |||||||
\(104\) | 0.898056 | − | 2.76393i | 0.0880616 | − | 0.271026i | ||||
\(105\) | 4.47214 | + | 2.76393i | 0.436436 | + | 0.269732i | ||||
\(106\) | 3.61803 | − | 4.97980i | 0.351415 | − | 0.483681i | ||||
\(107\) | 0.909830 | + | 0.909830i | 0.0879566 | + | 0.0879566i | 0.749716 | − | 0.661760i | \(-0.230190\pi\) |
−0.661760 | + | 0.749716i | \(0.730190\pi\) | |||||||
\(108\) | −8.15537 | − | 4.15537i | −0.784751 | − | 0.399850i | ||||
\(109\) | −14.6619 | −1.40435 | −0.702176 | − | 0.712003i | \(-0.747788\pi\) | ||||
−0.702176 | + | 0.712003i | \(0.747788\pi\) | |||||||
\(110\) | −9.43945 | − | 3.95199i | −0.900016 | − | 0.376807i | ||||
\(111\) | − | 0.898056i | − | 0.0852397i | ||||||
\(112\) | 1.68323 | − | 10.6275i | 0.159050 | − | 1.00420i | ||||
\(113\) | 8.70820 | − | 8.70820i | 0.819199 | − | 0.819199i | −0.166793 | − | 0.985992i | \(-0.553341\pi\) |
0.985992 | + | 0.166793i | \(0.0533412\pi\) | |||||||
\(114\) | −1.45309 | + | 2.00000i | −0.136094 | + | 0.187317i | ||||
\(115\) | 13.0902 | − | 3.09017i | 1.22066 | − | 0.288160i | ||||
\(116\) | −11.7082 | + | 3.80423i | −1.08708 | + | 0.353214i | ||||
\(117\) | 1.62460 | − | 1.62460i | 0.150194 | − | 0.150194i | ||||
\(118\) | −0.659481 | + | 0.104451i | −0.0607101 | + | 0.00961554i | ||||
\(119\) | −3.80423 | −0.348733 | ||||||||
\(120\) | −4.21702 | + | 3.57408i | −0.384959 | + | 0.326267i | ||||
\(121\) | −0.527864 | −0.0479876 | ||||||||
\(122\) | −1.25441 | + | 0.198678i | −0.113569 | + | 0.0179875i | ||||
\(123\) | 3.52786 | − | 3.52786i | 0.318097 | − | 0.318097i | ||||
\(124\) | −5.25731 | − | 16.1803i | −0.472120 | − | 1.45304i | ||||
\(125\) | 11.1352 | + | 1.00406i | 0.995959 | + | 0.0898056i | ||||
\(126\) | 5.00000 | − | 6.88191i | 0.445435 | − | 0.613089i | ||||
\(127\) | −2.80017 | + | 2.80017i | −0.248475 | + | 0.248475i | −0.820344 | − | 0.571870i | \(-0.806218\pi\) |
0.571870 | + | 0.820344i | \(0.306218\pi\) | |||||||
\(128\) | 10.0806 | + | 5.13632i | 0.891007 | + | 0.453990i | ||||
\(129\) | − | 5.70820i | − | 0.502579i | ||||||
\(130\) | −1.23201 | − | 3.00656i | −0.108055 | − | 0.263693i | ||||
\(131\) | 13.7082 | 1.19769 | 0.598846 | − | 0.800864i | \(-0.295626\pi\) | ||||
0.598846 | + | 0.800864i | \(0.295626\pi\) | |||||||
\(132\) | 2.56816 | − | 5.04029i | 0.223529 | − | 0.438701i | ||||
\(133\) | −3.80423 | − | 3.80423i | −0.329868 | − | 0.329868i | ||||
\(134\) | −5.42882 | + | 7.47214i | −0.468979 | + | 0.645494i | ||||
\(135\) | −9.95959 | + | 2.35114i | −0.857185 | + | 0.202354i | ||||
\(136\) | 1.23607 | − | 3.80423i | 0.105992 | − | 0.326210i | ||||
\(137\) | −5.47214 | − | 5.47214i | −0.467516 | − | 0.467516i | 0.433593 | − | 0.901109i | \(-0.357246\pi\) |
−0.901109 | + | 0.433593i | \(0.857246\pi\) | |||||||
\(138\) | 1.16308 | + | 7.34342i | 0.0990083 | + | 0.625114i | ||||
\(139\) | 21.4164i | 1.81652i | 0.418411 | + | 0.908258i | \(0.362587\pi\) | ||||
−0.418411 | + | 0.908258i | \(0.637413\pi\) | |||||||
\(140\) | −6.24669 | − | 10.2811i | −0.527942 | − | 0.868908i | ||||
\(141\) | 4.14725i | 0.349262i | ||||||||
\(142\) | −15.9413 | + | 2.52485i | −1.33776 | + | 0.211880i | ||||
\(143\) | 2.35114 | + | 2.35114i | 0.196612 | + | 0.196612i | ||||
\(144\) | 5.25731 | + | 7.23607i | 0.438109 | + | 0.603006i | ||||
\(145\) | −7.23607 | + | 11.7082i | −0.600923 | + | 0.972313i | ||||
\(146\) | 7.61803 | + | 5.53483i | 0.630473 | + | 0.458065i | ||||
\(147\) | −0.145898 | − | 0.145898i | −0.0120335 | − | 0.0120335i | ||||
\(148\) | −0.932938 | + | 1.83099i | −0.0766870 | + | 0.150507i | ||||
\(149\) | 12.8658 | 1.05400 | 0.527002 | − | 0.849864i | \(-0.323316\pi\) | ||||
0.527002 | + | 0.849864i | \(0.323316\pi\) | |||||||
\(150\) | −1.01313 | + | 6.09673i | −0.0827216 | + | 0.497796i | ||||
\(151\) | 6.71040i | 0.546084i | 0.962002 | + | 0.273042i | \(0.0880298\pi\) | ||||
−0.962002 | + | 0.273042i | \(0.911970\pi\) | |||||||
\(152\) | 5.04029 | − | 2.56816i | 0.408822 | − | 0.208305i | ||||
\(153\) | 2.23607 | − | 2.23607i | 0.180775 | − | 0.180775i | ||||
\(154\) | 9.95959 | + | 7.23607i | 0.802567 | + | 0.583099i | ||||
\(155\) | −16.1803 | − | 10.0000i | −1.29964 | − | 0.803219i | ||||
\(156\) | 1.70820 | − | 0.555029i | 0.136766 | − | 0.0444379i | ||||
\(157\) | 13.9353 | − | 13.9353i | 1.11216 | − | 1.11216i | 0.119303 | − | 0.992858i | \(-0.461934\pi\) |
0.992858 | − | 0.119303i | \(-0.0380659\pi\) | |||||||
\(158\) | 0.642937 | + | 4.05934i | 0.0511493 | + | 0.322944i | ||||
\(159\) | 3.80423 | 0.301695 | ||||||||
\(160\) | 12.3107 | − | 2.90617i | 0.973249 | − | 0.229753i | ||||
\(161\) | −16.1803 | −1.27519 | ||||||||
\(162\) | 0.599141 | + | 3.78283i | 0.0470729 | + | 0.297207i | ||||
\(163\) | −13.8541 | + | 13.8541i | −1.08514 | + | 1.08514i | −0.0891157 | + | 0.996021i | \(0.528404\pi\) |
−0.996021 | + | 0.0891157i | \(0.971596\pi\) | |||||||
\(164\) | −10.8576 | + | 3.52786i | −0.847840 | + | 0.275480i | ||||
\(165\) | −1.45309 | − | 6.15537i | −0.113123 | − | 0.479195i | ||||
\(166\) | 10.7082 | + | 7.77997i | 0.831118 | + | 0.603842i | ||||
\(167\) | −8.05748 | + | 8.05748i | −0.623507 | + | 0.623507i | −0.946426 | − | 0.322920i | \(-0.895336\pi\) |
0.322920 | + | 0.946426i | \(0.395336\pi\) | |||||||
\(168\) | 5.92522 | − | 3.01905i | 0.457141 | − | 0.232925i | ||||
\(169\) | − | 11.9443i | − | 0.918790i | ||||||
\(170\) | −1.69572 | − | 4.13818i | −0.130056 | − | 0.317384i | ||||
\(171\) | 4.47214 | 0.341993 | ||||||||
\(172\) | −5.92992 | + | 11.6381i | −0.452152 | + | 0.887399i | ||||
\(173\) | −14.4904 | − | 14.4904i | −1.10168 | − | 1.10168i | −0.994208 | − | 0.107474i | \(-0.965724\pi\) |
−0.107474 | − | 0.994208i | \(-0.534276\pi\) | |||||||
\(174\) | −6.15537 | − | 4.47214i | −0.466637 | − | 0.339032i | ||||
\(175\) | −12.7598 | − | 4.25325i | −0.964547 | − | 0.321516i | ||||
\(176\) | −10.4721 | + | 7.60845i | −0.789367 | + | 0.573509i | ||||
\(177\) | −0.291796 | − | 0.291796i | −0.0219327 | − | 0.0219327i | ||||
\(178\) | 3.45309 | − | 0.546915i | 0.258820 | − | 0.0409930i | ||||
\(179\) | − | 7.52786i | − | 0.562659i | −0.959611 | − | 0.281329i | \(-0.909225\pi\) | ||
0.959611 | − | 0.281329i | \(-0.0907754\pi\) | |||||||
\(180\) | 9.71477 | + | 2.37134i | 0.724096 | + | 0.176750i | ||||
\(181\) | 15.2169i | 1.13106i | 0.824726 | + | 0.565532i | \(0.191329\pi\) | ||||
−0.824726 | + | 0.565532i | \(0.808671\pi\) | |||||||
\(182\) | 0.611469 | + | 3.86067i | 0.0453251 | + | 0.286172i | ||||
\(183\) | −0.555029 | − | 0.555029i | −0.0410289 | − | 0.0410289i | ||||
\(184\) | 5.25731 | − | 16.1803i | 0.387574 | − | 1.19283i | ||||
\(185\) | 0.527864 | + | 2.23607i | 0.0388093 | + | 0.164399i | ||||
\(186\) | 6.18034 | − | 8.50651i | 0.453165 | − | 0.623727i | ||||
\(187\) | 3.23607 | + | 3.23607i | 0.236645 | + | 0.236645i | ||||
\(188\) | 4.30834 | − | 8.45559i | 0.314218 | − | 0.616687i | ||||
\(189\) | 12.3107 | 0.895474 | ||||||||
\(190\) | 2.44246 | − | 5.83390i | 0.177195 | − | 0.423235i | ||||
\(191\) | − | 13.2088i | − | 0.955755i | −0.878427 | − | 0.477877i | \(-0.841406\pi\) | ||
0.878427 | − | 0.477877i | \(-0.158594\pi\) | |||||||
\(192\) | 1.09383 | + | 6.90617i | 0.0789404 | + | 0.498410i | ||||
\(193\) | 1.47214 | − | 1.47214i | 0.105967 | − | 0.105967i | −0.652136 | − | 0.758102i | \(-0.726127\pi\) |
0.758102 | + | 0.652136i | \(0.226127\pi\) | |||||||
\(194\) | 4.97980 | − | 6.85410i | 0.357529 | − | 0.492096i | ||||
\(195\) | 1.05573 | − | 1.70820i | 0.0756023 | − | 0.122327i | ||||
\(196\) | 0.145898 | + | 0.449028i | 0.0104213 | + | 0.0320734i | ||||
\(197\) | −9.23305 | + | 9.23305i | −0.657828 | + | 0.657828i | −0.954866 | − | 0.297038i | \(-0.904001\pi\) |
0.297038 | + | 0.954866i | \(0.404001\pi\) | |||||||
\(198\) | −10.1074 | + | 1.60085i | −0.718299 | + | 0.113767i | ||||
\(199\) | 21.7153 | 1.53936 | 0.769678 | − | 0.638432i | \(-0.220417\pi\) | ||||
0.769678 | + | 0.638432i | \(0.220417\pi\) | |||||||
\(200\) | 8.39915 | − | 11.3778i | 0.593910 | − | 0.804532i | ||||
\(201\) | −5.70820 | −0.402626 | ||||||||
\(202\) | −4.05934 | + | 0.642937i | −0.285615 | + | 0.0452369i | ||||
\(203\) | 11.7082 | − | 11.7082i | 0.821755 | − | 0.821755i | ||||
\(204\) | 2.35114 | − | 0.763932i | 0.164613 | − | 0.0534859i | ||||
\(205\) | −6.71040 | + | 10.8576i | −0.468674 | + | 0.758331i | ||||
\(206\) | 3.94427 | − | 5.42882i | 0.274810 | − | 0.378244i | ||||
\(207\) | 9.51057 | − | 9.51057i | 0.661030 | − | 0.661030i | ||||
\(208\) | −4.05934 | − | 0.642937i | −0.281465 | − | 0.0445797i | ||||
\(209\) | 6.47214i | 0.447687i | ||||||||
\(210\) | 2.87129 | − | 6.85816i | 0.198138 | − | 0.473258i | ||||
\(211\) | 2.29180 | 0.157774 | 0.0788869 | − | 0.996884i | \(-0.474863\pi\) | ||||
0.0788869 | + | 0.996884i | \(0.474863\pi\) | |||||||
\(212\) | −7.75621 | − | 3.95199i | −0.532699 | − | 0.271424i | ||||
\(213\) | −7.05342 | − | 7.05342i | −0.483293 | − | 0.483293i | ||||
\(214\) | 1.06957 | − | 1.47214i | 0.0731143 | − | 0.100633i | ||||
\(215\) | 3.35520 | + | 14.2128i | 0.228823 | + | 0.969308i | ||||
\(216\) | −4.00000 | + | 12.3107i | −0.272166 | + | 0.837639i | ||||
\(217\) | 16.1803 | + | 16.1803i | 1.09839 | + | 1.09839i | ||||
\(218\) | 3.24367 | + | 20.4797i | 0.219689 | + | 1.38706i | ||||
\(219\) | 5.81966i | 0.393256i | ||||||||
\(220\) | −3.43184 | + | 14.0593i | −0.231375 | + | 0.947881i | ||||
\(221\) | 1.45309i | 0.0977451i | ||||||||
\(222\) | −1.25441 | + | 0.198678i | −0.0841903 | + | 0.0133344i | ||||
\(223\) | −14.2128 | − | 14.2128i | −0.951763 | − | 0.951763i | 0.0471263 | − | 0.998889i | \(-0.484994\pi\) |
−0.998889 | + | 0.0471263i | \(0.984994\pi\) | |||||||
\(224\) | −15.2169 | −1.01672 | ||||||||
\(225\) | 10.0000 | − | 5.00000i | 0.666667 | − | 0.333333i | ||||
\(226\) | −14.0902 | − | 10.2371i | −0.937264 | − | 0.680962i | ||||
\(227\) | −9.38197 | − | 9.38197i | −0.622703 | − | 0.622703i | 0.323519 | − | 0.946222i | \(-0.395134\pi\) |
−0.946222 | + | 0.323519i | \(0.895134\pi\) | |||||||
\(228\) | 3.11507 | + | 1.58721i | 0.206301 | + | 0.105115i | ||||
\(229\) | −7.95148 | −0.525449 | −0.262724 | − | 0.964871i | \(-0.584621\pi\) | ||||
−0.262724 | + | 0.964871i | \(0.584621\pi\) | |||||||
\(230\) | −7.21232 | − | 17.6007i | −0.475566 | − | 1.16056i | ||||
\(231\) | 7.60845i | 0.500599i | ||||||||
\(232\) | 7.90398 | + | 15.5124i | 0.518922 | + | 1.01844i | ||||
\(233\) | 5.47214 | − | 5.47214i | 0.358492 | − | 0.358492i | −0.504765 | − | 0.863257i | \(-0.668421\pi\) |
0.863257 | + | 0.504765i | \(0.168421\pi\) | |||||||
\(234\) | −2.62866 | − | 1.90983i | −0.171841 | − | 0.124849i | ||||
\(235\) | −2.43769 | − | 10.3262i | −0.159018 | − | 0.673609i | ||||
\(236\) | 0.291796 | + | 0.898056i | 0.0189943 | + | 0.0584585i | ||||
\(237\) | −1.79611 | + | 1.79611i | −0.116670 | + | 0.116670i | ||||
\(238\) | 0.841616 | + | 5.31375i | 0.0545538 | + | 0.344439i | ||||
\(239\) | 13.4208 | 0.868119 | 0.434059 | − | 0.900884i | \(-0.357081\pi\) | ||||
0.434059 | + | 0.900884i | \(0.357081\pi\) | |||||||
\(240\) | 5.92522 | + | 5.09964i | 0.382471 | + | 0.329180i | ||||
\(241\) | 11.2361 | 0.723779 | 0.361889 | − | 0.932221i | \(-0.382132\pi\) | ||||
0.361889 | + | 0.932221i | \(0.382132\pi\) | |||||||
\(242\) | 0.116780 | + | 0.737322i | 0.00750692 | + | 0.0473968i | ||||
\(243\) | −11.3820 | + | 11.3820i | −0.730153 | + | 0.730153i | ||||
\(244\) | 0.555029 | + | 1.70820i | 0.0355321 | + | 0.109357i | ||||
\(245\) | 0.449028 | + | 0.277515i | 0.0286873 | + | 0.0177298i | ||||
\(246\) | −5.70820 | − | 4.14725i | −0.363942 | − | 0.264419i | ||||
\(247\) | −1.45309 | + | 1.45309i | −0.0924576 | + | 0.0924576i | ||||
\(248\) | −21.4377 | + | 10.9230i | −1.36129 | + | 0.693613i | ||||
\(249\) | 8.18034i | 0.518408i | ||||||||
\(250\) | −1.06098 | − | 15.7758i | −0.0671024 | − | 0.997746i | ||||
\(251\) | 0.180340 | 0.0113830 | 0.00569148 | − | 0.999984i | \(-0.498188\pi\) | ||||
0.00569148 | + | 0.999984i | \(0.498188\pi\) | |||||||
\(252\) | −10.7188 | − | 5.46151i | −0.675223 | − | 0.344043i | ||||
\(253\) | 13.7638 | + | 13.7638i | 0.865324 | + | 0.865324i | ||||
\(254\) | 4.53077 | + | 3.29180i | 0.284286 | + | 0.206546i | ||||
\(255\) | 1.45309 | − | 2.35114i | 0.0909957 | − | 0.147234i | ||||
\(256\) | 4.94427 | − | 15.2169i | 0.309017 | − | 0.951057i | ||||
\(257\) | 5.29180 | + | 5.29180i | 0.330093 | + | 0.330093i | 0.852622 | − | 0.522529i | \(-0.175011\pi\) |
−0.522529 | + | 0.852622i | \(0.675011\pi\) | |||||||
\(258\) | −7.97323 | + | 1.26284i | −0.496392 | + | 0.0786207i | ||||
\(259\) | − | 2.76393i | − | 0.171742i | ||||||
\(260\) | −3.92702 | + | 2.38602i | −0.243543 | + | 0.147975i | ||||
\(261\) | 13.7638i | 0.851959i | ||||||||
\(262\) | −3.03269 | − | 19.1477i | −0.187360 | − | 1.18295i | ||||
\(263\) | 7.50245 | + | 7.50245i | 0.462621 | + | 0.462621i | 0.899514 | − | 0.436893i | \(-0.143921\pi\) |
−0.436893 | + | 0.899514i | \(0.643921\pi\) | |||||||
\(264\) | −7.60845 | − | 2.47214i | −0.468268 | − | 0.152149i | ||||
\(265\) | −9.47214 | + | 2.23607i | −0.581869 | + | 0.137361i | ||||
\(266\) | −4.47214 | + | 6.15537i | −0.274204 | + | 0.377410i | ||||
\(267\) | 1.52786 | + | 1.52786i | 0.0935038 | + | 0.0935038i | ||||
\(268\) | 11.6381 | + | 5.92992i | 0.710912 | + | 0.362228i | ||||
\(269\) | −20.4742 | −1.24833 | −0.624167 | − | 0.781291i | \(-0.714562\pi\) | ||||
−0.624167 | + | 0.781291i | \(0.714562\pi\) | |||||||
\(270\) | 5.48746 | + | 13.3914i | 0.333956 | + | 0.814977i | ||||
\(271\) | − | 17.2250i | − | 1.04635i | −0.852227 | − | 0.523173i | \(-0.824748\pi\) | ||
0.852227 | − | 0.523173i | \(-0.175252\pi\) | |||||||
\(272\) | −5.58721 | − | 0.884927i | −0.338774 | − | 0.0536566i | ||||
\(273\) | −1.70820 | + | 1.70820i | −0.103385 | + | 0.103385i | ||||
\(274\) | −6.43288 | + | 8.85410i | −0.388625 | + | 0.534896i | ||||
\(275\) | 7.23607 | + | 14.4721i | 0.436351 | + | 0.872703i | ||||
\(276\) | 10.0000 | − | 3.24920i | 0.601929 | − | 0.195579i | ||||
\(277\) | 9.23305 | − | 9.23305i | 0.554760 | − | 0.554760i | −0.373051 | − | 0.927811i | \(-0.621688\pi\) |
0.927811 | + | 0.373051i | \(0.121688\pi\) | |||||||
\(278\) | 29.9145 | − | 4.73799i | 1.79415 | − | 0.284166i | ||||
\(279\) | −19.0211 | −1.13877 | ||||||||
\(280\) | −12.9786 | + | 10.9999i | −0.775622 | + | 0.657369i | ||||
\(281\) | −9.70820 | −0.579143 | −0.289571 | − | 0.957156i | \(-0.593513\pi\) | ||||
−0.289571 | + | 0.957156i | \(0.593513\pi\) | |||||||
\(282\) | 5.79289 | − | 0.917504i | 0.344962 | − | 0.0546366i | ||||
\(283\) | 13.3820 | − | 13.3820i | 0.795475 | − | 0.795475i | −0.186903 | − | 0.982378i | \(-0.559845\pi\) |
0.982378 | + | 0.186903i | \(0.0598450\pi\) | |||||||
\(284\) | 7.05342 | + | 21.7082i | 0.418544 | + | 1.28814i | ||||
\(285\) | 3.80423 | − | 0.898056i | 0.225343 | − | 0.0531962i | ||||
\(286\) | 2.76393 | − | 3.80423i | 0.163435 | − | 0.224949i | ||||
\(287\) | 10.8576 | − | 10.8576i | 0.640907 | − | 0.640907i | ||||
\(288\) | 8.94427 | − | 8.94427i | 0.527046 | − | 0.527046i | ||||
\(289\) | − | 15.0000i | − | 0.882353i | ||||||
\(290\) | 17.9549 | + | 7.51713i | 1.05435 | + | 0.441421i | ||||
\(291\) | 5.23607 | 0.306944 | ||||||||
\(292\) | 6.04571 | − | 11.8654i | 0.353798 | − | 0.694368i | ||||
\(293\) | −3.07768 | − | 3.07768i | −0.179800 | − | 0.179800i | 0.611469 | − | 0.791269i | \(-0.290579\pi\) |
−0.791269 | + | 0.611469i | \(0.790579\pi\) | |||||||
\(294\) | −0.171513 | + | 0.236068i | −0.0100029 | + | 0.0137678i | ||||
\(295\) | 0.898056 | + | 0.555029i | 0.0522868 | + | 0.0323150i | ||||
\(296\) | 2.76393 | + | 0.898056i | 0.160650 | + | 0.0521984i | ||||
\(297\) | −10.4721 | − | 10.4721i | −0.607655 | − | 0.607655i | ||||
\(298\) | −2.84632 | − | 17.9709i | −0.164883 | − | 1.04103i | ||||
\(299\) | 6.18034i | 0.357418i | ||||||||
\(300\) | 8.74007 | + | 0.0663497i | 0.504608 | + | 0.00383070i | ||||
\(301\) | − | 17.5680i | − | 1.01261i | ||||||
\(302\) | 9.37310 | − | 1.48455i | 0.539361 | − | 0.0854264i | ||||
\(303\) | −1.79611 | − | 1.79611i | −0.103184 | − | 0.103184i | ||||
\(304\) | −4.70228 | − | 6.47214i | −0.269694 | − | 0.371202i | ||||
\(305\) | 1.70820 | + | 1.05573i | 0.0978115 | + | 0.0604508i | ||||
\(306\) | −3.61803 | − | 2.62866i | −0.206829 | − | 0.150270i | ||||
\(307\) | −13.5623 | − | 13.5623i | −0.774042 | − | 0.774042i | 0.204769 | − | 0.978810i | \(-0.434356\pi\) |
−0.978810 | + | 0.204769i | \(0.934356\pi\) | |||||||
\(308\) | 7.90398 | − | 15.5124i | 0.450371 | − | 0.883903i | ||||
\(309\) | 4.14725 | 0.235929 | ||||||||
\(310\) | −10.3884 | + | 24.8131i | −0.590022 | + | 1.40929i | ||||
\(311\) | 20.8172i | 1.18044i | 0.807243 | + | 0.590219i | \(0.200959\pi\) | ||||
−0.807243 | + | 0.590219i | \(0.799041\pi\) | |||||||
\(312\) | −1.15317 | − | 2.26323i | −0.0652857 | − | 0.128130i | ||||
\(313\) | −1.76393 | + | 1.76393i | −0.0997033 | + | 0.0997033i | −0.755199 | − | 0.655496i | \(-0.772460\pi\) |
0.655496 | + | 0.755199i | \(0.272460\pi\) | |||||||
\(314\) | −22.5478 | − | 16.3820i | −1.27245 | − | 0.924488i | ||||
\(315\) | −13.0902 | + | 3.09017i | −0.737548 | + | 0.174111i | ||||
\(316\) | 5.52786 | − | 1.79611i | 0.310967 | − | 0.101039i | ||||
\(317\) | 3.97574 | − | 3.97574i | 0.223300 | − | 0.223300i | −0.586587 | − | 0.809886i | \(-0.699529\pi\) |
0.809886 | + | 0.586587i | \(0.199529\pi\) | |||||||
\(318\) | −0.841616 | − | 5.31375i | −0.0471955 | − | 0.297980i | ||||
\(319\) | −19.9192 | −1.11526 | ||||||||
\(320\) | −6.78287 | − | 16.5527i | −0.379174 | − | 0.925325i | ||||
\(321\) | 1.12461 | 0.0627697 | ||||||||
\(322\) | 3.57960 | + | 22.6007i | 0.199484 | + | 1.25949i | ||||
\(323\) | −2.00000 | + | 2.00000i | −0.111283 | + | 0.111283i | ||||
\(324\) | 5.15131 | − | 1.67376i | 0.286184 | − | 0.0929868i | ||||
\(325\) | −1.62460 | + | 4.87380i | −0.0901165 | + | 0.270350i | ||||
\(326\) | 22.4164 | + | 16.2865i | 1.24153 | + | 0.902024i | ||||
\(327\) | −9.06154 | + | 9.06154i | −0.501104 | + | 0.501104i | ||||
\(328\) | 7.32979 | + | 14.3855i | 0.404720 | + | 0.794307i | ||||
\(329\) | 12.7639i | 0.703698i | ||||||||
\(330\) | −8.27636 | + | 3.39144i | −0.455599 | + | 0.186692i | ||||
\(331\) | −30.0689 | −1.65274 | −0.826368 | − | 0.563131i | \(-0.809597\pi\) | ||||
−0.826368 | + | 0.563131i | \(0.809597\pi\) | |||||||
\(332\) | 8.49808 | − | 16.6784i | 0.466393 | − | 0.915347i | ||||
\(333\) | 1.62460 | + | 1.62460i | 0.0890274 | + | 0.0890274i | ||||
\(334\) | 13.0373 | + | 9.47214i | 0.713368 | + | 0.518292i | ||||
\(335\) | 14.2128 | − | 3.35520i | 0.776531 | − | 0.183314i | ||||
\(336\) | −5.52786 | − | 7.60845i | −0.301570 | − | 0.415075i | ||||
\(337\) | −19.9443 | − | 19.9443i | −1.08643 | − | 1.08643i | −0.995893 | − | 0.0905410i | \(-0.971140\pi\) |
−0.0905410 | − | 0.995893i | \(-0.528860\pi\) | |||||||
\(338\) | −16.6838 | + | 2.64245i | −0.907478 | + | 0.143730i | ||||
\(339\) | − | 10.7639i | − | 0.584617i | ||||||
\(340\) | −5.40507 | + | 3.28408i | −0.293131 | + | 0.178104i | ||||
\(341\) | − | 27.5276i | − | 1.49071i | ||||||
\(342\) | −0.989378 | − | 6.24669i | −0.0534995 | − | 0.337782i | ||||
\(343\) | 12.8658 | + | 12.8658i | 0.694686 | + | 0.694686i | ||||
\(344\) | 17.5680 | + | 5.70820i | 0.947206 | + | 0.307766i | ||||
\(345\) | 6.18034 | − | 10.0000i | 0.332738 | − | 0.538382i | ||||
\(346\) | −17.0344 | + | 23.4459i | −0.915777 | + | 1.26046i | ||||
\(347\) | 26.0344 | + | 26.0344i | 1.39760 | + | 1.39760i | 0.806862 | + | 0.590740i | \(0.201164\pi\) |
0.590740 | + | 0.806862i | \(0.298836\pi\) | |||||||
\(348\) | −4.88493 | + | 9.58721i | −0.261860 | + | 0.513928i | ||||
\(349\) | 16.6700 | 0.892324 | 0.446162 | − | 0.894952i | \(-0.352791\pi\) | ||||
0.446162 | + | 0.894952i | \(0.352791\pi\) | |||||||
\(350\) | −3.11809 | + | 18.7638i | −0.166669 | + | 1.00297i | ||||
\(351\) | − | 4.70228i | − | 0.250989i | ||||||
\(352\) | 12.9443 | + | 12.9443i | 0.689932 | + | 0.689932i | ||||
\(353\) | −22.4164 | + | 22.4164i | −1.19311 | + | 1.19311i | −0.216914 | + | 0.976191i | \(0.569599\pi\) |
−0.976191 | + | 0.216914i | \(0.930401\pi\) | |||||||
\(354\) | −0.343027 | + | 0.472136i | −0.0182317 | + | 0.0250937i | ||||
\(355\) | 21.7082 | + | 13.4164i | 1.15215 | + | 0.712069i | ||||
\(356\) | −1.52786 | − | 4.70228i | −0.0809766 | − | 0.249220i | ||||
\(357\) | −2.35114 | + | 2.35114i | −0.124436 | + | 0.124436i | ||||
\(358\) | −10.5149 | + | 1.66540i | −0.555732 | + | 0.0880193i | ||||
\(359\) | −19.9192 | −1.05129 | −0.525647 | − | 0.850703i | \(-0.676177\pi\) | ||||
−0.525647 | + | 0.850703i | \(0.676177\pi\) | |||||||
\(360\) | 1.16308 | − | 14.0942i | 0.0612999 | − | 0.742831i | ||||
\(361\) | 15.0000 | 0.789474 | ||||||||
\(362\) | 21.2550 | − | 3.36646i | 1.11714 | − | 0.176937i | ||||
\(363\) | −0.326238 | + | 0.326238i | −0.0171231 | + | 0.0171231i | ||||
\(364\) | 5.25731 | − | 1.70820i | 0.275558 | − | 0.0895342i | ||||
\(365\) | −3.42071 | − | 14.4904i | −0.179048 | − | 0.758460i | ||||
\(366\) | −0.652476 | + | 0.898056i | −0.0341055 | + | 0.0469421i | ||||
\(367\) | −12.2047 | + | 12.2047i | −0.637082 | + | 0.637082i | −0.949835 | − | 0.312753i | \(-0.898749\pi\) |
0.312753 | + | 0.949835i | \(0.398749\pi\) | |||||||
\(368\) | −23.7638 | − | 3.76382i | −1.23877 | − | 0.196203i | ||||
\(369\) | 12.7639i | 0.664464i | ||||||||
\(370\) | 3.00656 | − | 1.23201i | 0.156304 | − | 0.0640492i | ||||
\(371\) | 11.7082 | 0.607860 | ||||||||
\(372\) | −13.2492 | − | 6.75080i | −0.686939 | − | 0.350013i | ||||
\(373\) | 22.4418 | + | 22.4418i | 1.16199 | + | 1.16199i | 0.984038 | + | 0.177956i | \(0.0569485\pi\) |
0.177956 | + | 0.984038i | \(0.443052\pi\) | |||||||
\(374\) | 3.80423 | − | 5.23607i | 0.196712 | − | 0.270751i | ||||
\(375\) | 7.50245 | − | 6.26137i | 0.387425 | − | 0.323336i | ||||
\(376\) | −12.7639 | − | 4.14725i | −0.658250 | − | 0.213878i | ||||
\(377\) | −4.47214 | − | 4.47214i | −0.230327 | − | 0.230327i | ||||
\(378\) | −2.72353 | − | 17.1957i | −0.140083 | − | 0.884449i | ||||
\(379\) | 0.111456i | 0.00572512i | 0.999996 | + | 0.00286256i | \(0.000911182\pi\) | ||||
−0.999996 | + | 0.00286256i | \(0.999089\pi\) | |||||||
\(380\) | −8.68915 | − | 2.12099i | −0.445744 | − | 0.108805i | ||||
\(381\) | 3.46120i | 0.177323i | ||||||||
\(382\) | −18.4501 | + | 2.92220i | −0.943988 | + | 0.149513i | ||||
\(383\) | 1.00406 | + | 1.00406i | 0.0513049 | + | 0.0513049i | 0.732294 | − | 0.680989i | \(-0.238450\pi\) |
−0.680989 | + | 0.732294i | \(0.738450\pi\) | |||||||
\(384\) | 9.40456 | − | 3.05573i | 0.479925 | − | 0.155937i | ||||
\(385\) | −4.47214 | − | 18.9443i | −0.227921 | − | 0.965489i | ||||
\(386\) | −2.38197 | − | 1.73060i | −0.121239 | − | 0.0880852i | ||||
\(387\) | 10.3262 | + | 10.3262i | 0.524912 | + | 0.524912i | ||||
\(388\) | −10.6755 | − | 5.43945i | −0.541967 | − | 0.276146i | ||||
\(389\) | 4.14725 | 0.210274 | 0.105137 | − | 0.994458i | \(-0.466472\pi\) | ||||
0.105137 | + | 0.994458i | \(0.466472\pi\) | |||||||
\(390\) | −2.61958 | − | 1.09673i | −0.132648 | − | 0.0555353i | ||||
\(391\) | 8.50651i | 0.430193i | ||||||||
\(392\) | 0.594926 | − | 0.303130i | 0.0300483 | − | 0.0153104i | ||||
\(393\) | 8.47214 | − | 8.47214i | 0.427363 | − | 0.427363i | ||||
\(394\) | 14.9394 | + | 10.8541i | 0.752636 | + | 0.546822i | ||||
\(395\) | 3.41641 | − | 5.52786i | 0.171898 | − | 0.278137i | ||||
\(396\) | 4.47214 | + | 13.7638i | 0.224733 | + | 0.691658i | ||||
\(397\) | −24.4500 | + | 24.4500i | −1.22711 | + | 1.22711i | −0.262055 | + | 0.965053i | \(0.584400\pi\) |
−0.965053 | + | 0.262055i | \(0.915600\pi\) | |||||||
\(398\) | −4.80411 | − | 30.3320i | −0.240808 | − | 1.52040i | ||||
\(399\) | −4.70228 | −0.235409 | ||||||||
\(400\) | −17.7507 | − | 9.21482i | −0.887535 | − | 0.460741i | ||||
\(401\) | 31.8885 | 1.59244 | 0.796219 | − | 0.605009i | \(-0.206830\pi\) | ||||
0.796219 | + | 0.605009i | \(0.206830\pi\) | |||||||
\(402\) | 1.26284 | + | 7.97323i | 0.0629845 | + | 0.397669i | ||||
\(403\) | 6.18034 | − | 6.18034i | 0.307865 | − | 0.307865i | ||||
\(404\) | 1.79611 | + | 5.52786i | 0.0893599 | + | 0.275022i | ||||
\(405\) | 3.18368 | − | 5.15131i | 0.158199 | − | 0.255971i | ||||
\(406\) | −18.9443 | − | 13.7638i | −0.940188 | − | 0.683087i | ||||
\(407\) | −2.35114 | + | 2.35114i | −0.116542 | + | 0.116542i | ||||
\(408\) | −1.58721 | − | 3.11507i | −0.0785786 | − | 0.154219i | ||||
\(409\) | − | 21.5967i | − | 1.06789i | −0.845519 | − | 0.533945i | \(-0.820709\pi\) | ||
0.845519 | − | 0.533945i | \(-0.179291\pi\) | |||||||
\(410\) | 16.6505 | + | 6.97104i | 0.822312 | + | 0.344275i | ||||
\(411\) | −6.76393 | −0.333640 | ||||||||
\(412\) | −8.45559 | − | 4.30834i | −0.416577 | − | 0.212257i | ||||
\(413\) | −0.898056 | − | 0.898056i | −0.0441904 | − | 0.0441904i | ||||
\(414\) | −15.3884 | − | 11.1803i | −0.756299 | − | 0.549484i | ||||
\(415\) | −4.80828 | − | 20.3682i | −0.236029 | − | 0.999836i | ||||
\(416\) | 5.81234i | 0.284973i | ||||||||
\(417\) | 13.2361 | + | 13.2361i | 0.648173 | + | 0.648173i | ||||
\(418\) | 9.04029 | − | 1.43184i | 0.442175 | − | 0.0700337i | ||||
\(419\) | − | 28.8328i | − | 1.40858i | −0.709915 | − | 0.704288i | \(-0.751267\pi\) | ||
0.709915 | − | 0.704288i | \(-0.248733\pi\) | |||||||
\(420\) | −10.2147 | − | 2.49338i | −0.498427 | − | 0.121664i | ||||
\(421\) | − | 28.4257i | − | 1.38538i | −0.721234 | − | 0.692692i | \(-0.756425\pi\) | ||
0.721234 | − | 0.692692i | \(-0.243575\pi\) | |||||||
\(422\) | −0.507018 | − | 3.20119i | −0.0246813 | − | 0.155831i | ||||
\(423\) | −7.50245 | − | 7.50245i | −0.364782 | − | 0.364782i | ||||
\(424\) | −3.80423 | + | 11.7082i | −0.184750 | + | 0.568601i | ||||
\(425\) | −2.23607 | + | 6.70820i | −0.108465 | + | 0.325396i | ||||
\(426\) | −8.29180 | + | 11.4127i | −0.401739 | + | 0.552946i | ||||
\(427\) | −1.70820 | − | 1.70820i | −0.0826658 | − | 0.0826658i | ||||
\(428\) | −2.29291 | − | 1.16829i | −0.110832 | − | 0.0564716i | ||||
\(429\) | 2.90617 | 0.140311 | ||||||||
\(430\) | 19.1103 | − | 7.83088i | 0.921579 | − | 0.377639i | ||||
\(431\) | 19.0211i | 0.916216i | 0.888897 | + | 0.458108i | \(0.151473\pi\) | ||||
−0.888897 | + | 0.458108i | \(0.848527\pi\) | |||||||
\(432\) | 18.0806 | + | 2.86368i | 0.869903 | + | 0.137779i | ||||
\(433\) | 0.819660 | − | 0.819660i | 0.0393904 | − | 0.0393904i | −0.687137 | − | 0.726528i | \(-0.741133\pi\) |
0.726528 | + | 0.687137i | \(0.241133\pi\) | |||||||
\(434\) | 19.0211 | − | 26.1803i | 0.913043 | − | 1.25670i | ||||
\(435\) | 2.76393 | + | 11.7082i | 0.132520 | + | 0.561365i | ||||
\(436\) | 27.8885 | − | 9.06154i | 1.33562 | − | 0.433969i | ||||
\(437\) | −8.50651 | + | 8.50651i | −0.406921 | + | 0.406921i | ||||
\(438\) | 8.12891 | − | 1.28749i | 0.388415 | − | 0.0615188i | ||||
\(439\) | 35.1361 | 1.67695 | 0.838477 | − | 0.544937i | \(-0.183446\pi\) | ||||
0.838477 | + | 0.544937i | \(0.183446\pi\) | |||||||
\(440\) | 20.3974 | + | 1.68323i | 0.972406 | + | 0.0802449i | ||||
\(441\) | 0.527864 | 0.0251364 | ||||||||
\(442\) | 2.02967 | − | 0.321469i | 0.0965417 | − | 0.0152907i | ||||
\(443\) | −1.09017 | + | 1.09017i | −0.0517955 | + | 0.0517955i | −0.732530 | − | 0.680735i | \(-0.761661\pi\) |
0.680735 | + | 0.732530i | \(0.261661\pi\) | |||||||
\(444\) | 0.555029 | + | 1.70820i | 0.0263405 | + | 0.0810678i | ||||
\(445\) | −4.70228 | − | 2.90617i | −0.222910 | − | 0.137766i | ||||
\(446\) | −16.7082 | + | 22.9969i | −0.791156 | + | 1.08893i | ||||
\(447\) | 7.95148 | − | 7.95148i | 0.376092 | − | 0.376092i | ||||
\(448\) | 3.36646 | + | 21.2550i | 0.159050 | + | 1.00420i | ||||
\(449\) | 17.5967i | 0.830442i | 0.909721 | + | 0.415221i | \(0.136296\pi\) | ||||
−0.909721 | + | 0.415221i | \(0.863704\pi\) | |||||||
\(450\) | −9.19633 | − | 12.8619i | −0.433519 | − | 0.606314i | ||||
\(451\) | −18.4721 | −0.869819 | ||||||||
\(452\) | −11.1820 | + | 21.9460i | −0.525958 | + | 1.03225i | ||||
\(453\) | 4.14725 | + | 4.14725i | 0.194855 | + | 0.194855i | ||||
\(454\) | −11.0292 | + | 15.1803i | −0.517624 | + | 0.712449i | ||||
\(455\) | 3.24920 | − | 5.25731i | 0.152325 | − | 0.246467i | ||||
\(456\) | 1.52786 | − | 4.70228i | 0.0715488 | − | 0.220205i | ||||
\(457\) | 9.65248 | + | 9.65248i | 0.451524 | + | 0.451524i | 0.895860 | − | 0.444336i | \(-0.146560\pi\) |
−0.444336 | + | 0.895860i | \(0.646560\pi\) | |||||||
\(458\) | 1.75912 | + | 11.1066i | 0.0821983 | + | 0.518979i | ||||
\(459\) | − | 6.47214i | − | 0.302093i | ||||||
\(460\) | −22.9892 | + | 13.9680i | −1.07187 | + | 0.651262i | ||||
\(461\) | 27.5276i | 1.28209i | 0.767503 | + | 0.641045i | \(0.221499\pi\) | ||||
−0.767503 | + | 0.641045i | \(0.778501\pi\) | |||||||
\(462\) | 10.6275 | − | 1.68323i | 0.494436 | − | 0.0783110i | ||||
\(463\) | −2.45714 | − | 2.45714i | −0.114193 | − | 0.114193i | 0.647701 | − | 0.761894i | \(-0.275730\pi\) |
−0.761894 | + | 0.647701i | \(0.775730\pi\) | |||||||
\(464\) | 19.9192 | − | 14.4721i | 0.924725 | − | 0.671852i | ||||
\(465\) | −16.1803 | + | 3.81966i | −0.750345 | + | 0.177132i | ||||
\(466\) | −8.85410 | − | 6.43288i | −0.410158 | − | 0.297997i | ||||
\(467\) | −18.3262 | − | 18.3262i | −0.848037 | − | 0.848037i | 0.141851 | − | 0.989888i | \(-0.454695\pi\) |
−0.989888 | + | 0.141851i | \(0.954695\pi\) | |||||||
\(468\) | −2.08611 | + | 4.09423i | −0.0964306 | + | 0.189256i | ||||
\(469\) | −17.5680 | −0.811217 | ||||||||
\(470\) | −13.8844 | + | 5.68947i | −0.640440 | + | 0.262436i | ||||
\(471\) | − | 17.2250i | − | 0.793687i | ||||||
\(472\) | 1.18985 | − | 0.606260i | 0.0547674 | − | 0.0279054i | ||||
\(473\) | −14.9443 | + | 14.9443i | −0.687138 | + | 0.687138i | ||||
\(474\) | 2.90617 | + | 2.11146i | 0.133485 | + | 0.0969824i | ||||
\(475\) | −8.94427 | + | 4.47214i | −0.410391 | + | 0.205196i | ||||
\(476\) | 7.23607 | − | 2.35114i | 0.331665 | − | 0.107764i | ||||
\(477\) | −6.88191 | + | 6.88191i | −0.315101 | + | 0.315101i | ||||
\(478\) | −2.96911 | − | 18.7462i | −0.135804 | − | 0.857431i | ||||
\(479\) | 4.70228 | 0.214853 | 0.107426 | − | 0.994213i | \(-0.465739\pi\) | ||||
0.107426 | + | 0.994213i | \(0.465739\pi\) | |||||||
\(480\) | 5.81234 | − | 9.40456i | 0.265296 | − | 0.429258i | ||||
\(481\) | −1.05573 | −0.0481371 | ||||||||
\(482\) | −2.48577 | − | 15.6946i | −0.113224 | − | 0.714868i | ||||
\(483\) | −10.0000 | + | 10.0000i | −0.455016 | + | 0.455016i | ||||
\(484\) | 1.00406 | − | 0.326238i | 0.0456390 | − | 0.0148290i | ||||
\(485\) | −13.0373 | + | 3.07768i | −0.591992 | + | 0.139750i | ||||
\(486\) | 18.4164 | + | 13.3803i | 0.835385 | + | 0.606943i | ||||
\(487\) | 18.9151 | − | 18.9151i | 0.857126 | − | 0.857126i | −0.133872 | − | 0.990999i | \(-0.542741\pi\) |
0.990999 | + | 0.133872i | \(0.0427412\pi\) | |||||||
\(488\) | 2.26323 | − | 1.15317i | 0.102452 | − | 0.0522018i | ||||
\(489\) | 17.1246i | 0.774402i | ||||||||
\(490\) | 0.288294 | − | 0.688598i | 0.0130238 | − | 0.0311077i | ||||
\(491\) | −15.2361 | −0.687594 | −0.343797 | − | 0.939044i | \(-0.611713\pi\) | ||||
−0.343797 | + | 0.939044i | \(0.611713\pi\) | |||||||
\(492\) | −4.53006 | + | 8.89074i | −0.204231 | + | 0.400825i | ||||
\(493\) | −6.15537 | − | 6.15537i | −0.277224 | − | 0.277224i | ||||
\(494\) | 2.35114 | + | 1.70820i | 0.105783 | + | 0.0768557i | ||||
\(495\) | 13.7638 | + | 8.50651i | 0.618638 | + | 0.382339i | ||||
\(496\) | 20.0000 | + | 27.5276i | 0.898027 | + | 1.23603i | ||||
\(497\) | −21.7082 | − | 21.7082i | −0.973746 | − | 0.973746i | ||||
\(498\) | 11.4263 | − | 1.80975i | 0.512026 | − | 0.0810969i | ||||
\(499\) | 11.8885i | 0.532204i | 0.963945 | + | 0.266102i | \(0.0857359\pi\) | ||||
−0.963945 | + | 0.266102i | \(0.914264\pi\) | |||||||
\(500\) | −21.8009 | + | 4.97208i | −0.974965 | + | 0.222358i | ||||
\(501\) | 9.95959i | 0.444962i | ||||||||
\(502\) | −0.0398969 | − | 0.251899i | −0.00178069 | − | 0.0112428i | ||||
\(503\) | −16.5640 | − | 16.5640i | −0.738552 | − | 0.738552i | 0.233746 | − | 0.972298i | \(-0.424902\pi\) |
−0.972298 | + | 0.233746i | \(0.924902\pi\) | |||||||
\(504\) | −5.25731 | + | 16.1803i | −0.234179 | + | 0.720730i | ||||
\(505\) | 5.52786 | + | 3.41641i | 0.245987 | + | 0.152028i | ||||
\(506\) | 16.1803 | − | 22.2703i | 0.719304 | − | 0.990037i | ||||
\(507\) | −7.38197 | − | 7.38197i | −0.327845 | − | 0.327845i | ||||
\(508\) | 3.59564 | − | 7.05684i | 0.159531 | − | 0.313097i | ||||
\(509\) | 10.8576 | 0.481257 | 0.240628 | − | 0.970617i | \(-0.422646\pi\) | ||||
0.240628 | + | 0.970617i | \(0.422646\pi\) | |||||||
\(510\) | −3.60555 | − | 1.50953i | −0.159656 | − | 0.0668429i | ||||
\(511\) | 17.9111i | 0.792339i | ||||||||
\(512\) | −22.3488 | − | 3.53971i | −0.987688 | − | 0.156434i | ||||
\(513\) | 6.47214 | − | 6.47214i | 0.285752 | − | 0.285752i | ||||
\(514\) | 6.22088 | − | 8.56231i | 0.274391 | − | 0.377667i | ||||
\(515\) | −10.3262 | + | 2.43769i | −0.455028 | + | 0.107418i | ||||
\(516\) | 3.52786 | + | 10.8576i | 0.155306 | + | 0.477981i | ||||
\(517\) | 10.8576 | − | 10.8576i | 0.477519 | − | 0.477519i | ||||
\(518\) | −3.86067 | + | 0.611469i | −0.169628 | + | 0.0268664i | ||||
\(519\) | −17.9111 | −0.786209 | ||||||||
\(520\) | 4.20158 | + | 4.95740i | 0.184252 | + | 0.217396i | ||||
\(521\) | −0.472136 | −0.0206847 | −0.0103423 | − | 0.999947i | \(-0.503292\pi\) | ||||
−0.0103423 | + | 0.999947i | \(0.503292\pi\) | |||||||
\(522\) | 19.2253 | − | 3.04499i | 0.841470 | − | 0.133276i | ||||
\(523\) | 25.7426 | − | 25.7426i | 1.12565 | − | 1.12565i | 0.134770 | − | 0.990877i | \(-0.456970\pi\) |
0.990877 | − | 0.134770i | \(-0.0430297\pi\) | |||||||
\(524\) | −26.0746 | + | 8.47214i | −1.13907 | + | 0.370107i | ||||
\(525\) | −10.5146 | + | 5.25731i | −0.458896 | + | 0.229448i | ||||
\(526\) | 8.81966 | − | 12.1392i | 0.384555 | − | 0.529295i | ||||
\(527\) | 8.50651 | − | 8.50651i | 0.370549 | − | 0.370549i | ||||
\(528\) | −1.76985 | + | 11.1744i | −0.0770230 | + | 0.486304i | ||||
\(529\) | 13.1803i | 0.573058i | ||||||||
\(530\) | 5.21888 | + | 12.7360i | 0.226694 | + | 0.553217i | ||||
\(531\) | 1.05573 | 0.0458147 | ||||||||
\(532\) | 9.58721 | + | 4.88493i | 0.415658 | + | 0.211788i | ||||
\(533\) | −4.14725 | − | 4.14725i | −0.179637 | − | 0.179637i | ||||
\(534\) | 1.79611 | − | 2.47214i | 0.0777254 | − | 0.106980i | ||||
\(535\) | −2.80017 | + | 0.661030i | −0.121062 | + | 0.0285788i | ||||
\(536\) | 5.70820 | − | 17.5680i | 0.246557 | − | 0.758824i | ||||
\(537\) | −4.65248 | − | 4.65248i | −0.200769 | − | 0.200769i | ||||
\(538\) | 4.52955 | + | 28.5984i | 0.195283 | + | 1.23297i | ||||
\(539\) | 0.763932i | 0.0329049i | ||||||||
\(540\) | 17.4912 | − | 10.6275i | 0.752701 | − | 0.457335i | ||||
\(541\) | − | 12.3107i | − | 0.529280i | −0.964347 | − | 0.264640i | \(-0.914747\pi\) | ||
0.964347 | − | 0.264640i | \(-0.0852531\pi\) | |||||||
\(542\) | −24.0599 | + | 3.81072i | −1.03346 | + | 0.163684i | ||||
\(543\) | 9.40456 | + | 9.40456i | 0.403588 | + | 0.403588i | ||||
\(544\) | 8.00000i | 0.342997i | ||||||||
\(545\) | 17.2361 | − | 27.8885i | 0.738312 | − | 1.19461i | ||||
\(546\) | 2.76393 | + | 2.00811i | 0.118285 | + | 0.0859394i | ||||
\(547\) | 11.5623 | + | 11.5623i | 0.494369 | + | 0.494369i | 0.909679 | − | 0.415311i | \(-0.136327\pi\) |
−0.415311 | + | 0.909679i | \(0.636327\pi\) | |||||||
\(548\) | 13.7906 | + | 7.02666i | 0.589105 | + | 0.300164i | ||||
\(549\) | 2.00811 | 0.0857042 | ||||||||
\(550\) | 18.6139 | − | 13.3091i | 0.793698 | − | 0.567500i | ||||
\(551\) | − | 12.3107i | − | 0.524455i | ||||||
\(552\) | −6.75080 | − | 13.2492i | −0.287333 | − | 0.563923i | ||||
\(553\) | −5.52786 | + | 5.52786i | −0.235069 | + | 0.235069i | ||||
\(554\) | −14.9394 | − | 10.8541i | −0.634714 | − | 0.461147i | ||||
\(555\) | 1.70820 | + | 1.05573i | 0.0725092 | + | 0.0448132i | ||||
\(556\) | −13.2361 | − | 40.7364i | −0.561334 | − | 1.72761i | ||||
\(557\) | 23.5519 | − | 23.5519i | 0.997926 | − | 0.997926i | −0.00207187 | − | 0.999998i | \(-0.500659\pi\) |
0.999998 | + | 0.00207187i | \(0.000659497\pi\) | |||||||
\(558\) | 4.20808 | + | 26.5688i | 0.178142 | + | 1.12475i | ||||
\(559\) | −6.71040 | −0.283820 | ||||||||
\(560\) | 18.2360 | + | 15.6951i | 0.770610 | + | 0.663238i | ||||
\(561\) | 4.00000 | 0.168880 | ||||||||
\(562\) | 2.14776 | + | 13.5604i | 0.0905979 | + | 0.572013i | ||||
\(563\) | −4.32624 | + | 4.32624i | −0.182329 | + | 0.182329i | −0.792370 | − | 0.610041i | \(-0.791153\pi\) |
0.610041 | + | 0.792370i | \(0.291153\pi\) | |||||||
\(564\) | −2.56314 | − | 7.88854i | −0.107928 | − | 0.332168i | ||||
\(565\) | 6.32688 | + | 26.8011i | 0.266174 | + | 1.12753i | ||||
\(566\) | −21.6525 | − | 15.7314i | −0.910121 | − | 0.661242i | ||||
\(567\) | −5.15131 | + | 5.15131i | −0.216335 | + | 0.216335i | ||||
\(568\) | 28.7616 | − | 14.6548i | 1.20681 | − | 0.614901i | ||||
\(569\) | − | 27.1246i | − | 1.13712i | −0.822641 | − | 0.568561i | \(-0.807500\pi\) | ||
0.822641 | − | 0.568561i | \(-0.192500\pi\) | |||||||
\(570\) | −2.09602 | − | 5.11507i | −0.0877927 | − | 0.214247i | ||||
\(571\) | 22.6525 | 0.947977 | 0.473988 | − | 0.880531i | \(-0.342814\pi\) | ||||
0.473988 | + | 0.880531i | \(0.342814\pi\) | |||||||
\(572\) | −5.92522 | − | 3.01905i | −0.247746 | − | 0.126233i | ||||
\(573\) | −8.16348 | − | 8.16348i | −0.341034 | − | 0.341034i | ||||
\(574\) | −17.5680 | − | 12.7639i | −0.733276 | − | 0.532756i | ||||
\(575\) | −9.51057 | + | 28.5317i | −0.396618 | + | 1.18985i | ||||
\(576\) | −14.4721 | − | 10.5146i | −0.603006 | − | 0.438109i | ||||
\(577\) | 26.2361 | + | 26.2361i | 1.09222 | + | 1.09222i | 0.995291 | + | 0.0969307i | \(0.0309025\pi\) |
0.0969307 | + | 0.995291i | \(0.469097\pi\) | |||||||
\(578\) | −20.9520 | + | 3.31848i | −0.871490 | + | 0.138030i | ||||
\(579\) | − | 1.81966i | − | 0.0756225i | ||||||
\(580\) | 6.52775 | − | 26.7425i | 0.271050 | − | 1.11042i | ||||
\(581\) | 25.1765i | 1.04450i | ||||||||
\(582\) | −1.15838 | − | 7.31375i | −0.0480166 | − | 0.303165i | ||||
\(583\) | −9.95959 | − | 9.95959i | −0.412484 | − | 0.412484i | ||||
\(584\) | −17.9111 | − | 5.81966i | −0.741165 | − | 0.240819i | ||||
\(585\) | 1.18034 | + | 5.00000i | 0.0488010 | + | 0.206725i | ||||
\(586\) | −3.61803 | + | 4.97980i | −0.149460 | + | 0.205714i | ||||
\(587\) | 17.0902 | + | 17.0902i | 0.705387 | + | 0.705387i | 0.965562 | − | 0.260175i | \(-0.0837802\pi\) |
−0.260175 | + | 0.965562i | \(0.583780\pi\) | |||||||
\(588\) | 0.367684 | + | 0.187345i | 0.0151631 | + | 0.00772596i | ||||
\(589\) | 17.0130 | 0.701009 | ||||||||
\(590\) | 0.576587 | − | 1.37720i | 0.0237377 | − | 0.0566983i | ||||
\(591\) | 11.4127i | 0.469455i | ||||||||
\(592\) | 0.642937 | − | 4.05934i | 0.0264246 | − | 0.166838i | ||||
\(593\) | 20.4164 | − | 20.4164i | 0.838401 | − | 0.838401i | −0.150247 | − | 0.988648i | \(-0.548007\pi\) |
0.988648 | + | 0.150247i | \(0.0480069\pi\) | |||||||
\(594\) | −12.3107 | + | 16.9443i | −0.505116 | + | 0.695232i | ||||
\(595\) | 4.47214 | − | 7.23607i | 0.183340 | − | 0.296650i | ||||
\(596\) | −24.4721 | + | 7.95148i | −1.00242 | + | 0.325705i | ||||
\(597\) | 13.4208 | − | 13.4208i | 0.549276 | − | 0.549276i | ||||
\(598\) | 8.63271 | − | 1.36729i | 0.353018 | − | 0.0559125i | ||||
\(599\) | −6.49839 | −0.265517 | −0.132759 | − | 0.991148i | \(-0.542383\pi\) | ||||
−0.132759 | + | 0.991148i | \(0.542383\pi\) | |||||||
\(600\) | −1.84090 | − | 12.2228i | −0.0751546 | − | 0.498995i | ||||
\(601\) | −17.7082 | −0.722333 | −0.361166 | − | 0.932501i | \(-0.617621\pi\) | ||||
−0.361166 | + | 0.932501i | \(0.617621\pi\) | |||||||
\(602\) | −24.5391 | + | 3.88661i | −1.00014 | + | 0.158406i | ||||
\(603\) | 10.3262 | − | 10.3262i | 0.420517 | − | 0.420517i | ||||
\(604\) | −4.14725 | − | 12.7639i | −0.168749 | − | 0.519357i | ||||
\(605\) | 0.620541 | − | 1.00406i | 0.0252286 | − | 0.0408207i | ||||
\(606\) | −2.11146 | + | 2.90617i | −0.0857720 | + | 0.118055i | ||||
\(607\) | −32.6789 | + | 32.6789i | −1.32640 | + | 1.32640i | −0.417908 | + | 0.908489i | \(0.637237\pi\) |
−0.908489 | + | 0.417908i | \(0.862763\pi\) | |||||||
\(608\) | −8.00000 | + | 8.00000i | −0.324443 | + | 0.324443i | ||||
\(609\) | − | 14.4721i | − | 0.586441i | ||||||
\(610\) | 1.09673 | − | 2.61958i | 0.0444055 | − | 0.106064i | ||||
\(611\) | 4.87539 | 0.197237 | ||||||||
\(612\) | −2.87129 | + | 5.63522i | −0.116065 | + | 0.227790i | ||||
\(613\) | −19.5357 | − | 19.5357i | −0.789038 | − | 0.789038i | 0.192298 | − | 0.981337i | \(-0.438406\pi\) |
−0.981337 | + | 0.192298i | \(0.938406\pi\) | |||||||
\(614\) | −15.9434 | + | 21.9443i | −0.643425 | + | 0.885599i | ||||
\(615\) | 2.56314 | + | 10.8576i | 0.103356 | + | 0.437823i | ||||
\(616\) | −23.4164 | − | 7.60845i | −0.943474 | − | 0.306553i | ||||
\(617\) | 4.88854 | + | 4.88854i | 0.196805 | + | 0.196805i | 0.798629 | − | 0.601824i | \(-0.205559\pi\) |
−0.601824 | + | 0.798629i | \(0.705559\pi\) | |||||||
\(618\) | −0.917504 | − | 5.79289i | −0.0369074 | − | 0.233024i | ||||
\(619\) | 35.3050i | 1.41903i | 0.704692 | + | 0.709513i | \(0.251085\pi\) | ||||
−0.704692 | + | 0.709513i | \(0.748915\pi\) | |||||||
\(620\) | 36.9572 | + | 9.02113i | 1.48424 | + | 0.362297i | ||||
\(621\) | − | 27.5276i | − | 1.10465i | ||||||
\(622\) | 29.0776 | − | 4.60543i | 1.16590 | − | 0.184661i | ||||
\(623\) | 4.70228 | + | 4.70228i | 0.188393 | + | 0.188393i | ||||
\(624\) | −2.90617 | + | 2.11146i | −0.116340 | + | 0.0845259i | ||||
\(625\) | −15.0000 | + | 20.0000i | −0.600000 | + | 0.800000i | ||||
\(626\) | 2.85410 | + | 2.07363i | 0.114073 | + | 0.0828788i | ||||
\(627\) | 4.00000 | + | 4.00000i | 0.159745 | + | 0.159745i | ||||
\(628\) | −17.8941 | + | 35.1191i | −0.714051 | + | 1.40140i | ||||
\(629\) | −1.45309 | −0.0579383 | ||||||||
\(630\) | 7.21232 | + | 17.6007i | 0.287346 | + | 0.701230i | ||||
\(631\) | − | 22.6134i | − | 0.900223i | −0.892972 | − | 0.450112i | \(-0.851384\pi\) | ||
0.892972 | − | 0.450112i | \(-0.148616\pi\) | |||||||
\(632\) | −3.73175 | − | 7.32398i | −0.148441 | − | 0.291332i | ||||
\(633\) | 1.41641 | − | 1.41641i | 0.0562972 | − | 0.0562972i | ||||
\(634\) | −6.43288 | − | 4.67376i | −0.255482 | − | 0.185619i | ||||
\(635\) | −2.03444 | − | 8.61803i | −0.0807344 | − | 0.341996i | ||||
\(636\) | −7.23607 | + | 2.35114i | −0.286929 | + | 0.0932288i | ||||
\(637\) | −0.171513 | + | 0.171513i | −0.00679561 | + | 0.00679561i | ||||
\(638\) | 4.40676 | + | 27.8232i | 0.174465 | + | 1.10153i | ||||
\(639\) | 25.5195 | 1.00954 | ||||||||
\(640\) | −21.6203 | + | 13.1363i | −0.854617 | + | 0.519258i | ||||
\(641\) | −38.6525 | −1.52668 | −0.763341 | − | 0.645996i | \(-0.776442\pi\) | ||||
−0.763341 | + | 0.645996i | \(0.776442\pi\) | |||||||
\(642\) | −0.248800 | − | 1.57086i | −0.00981935 | − | 0.0619969i | ||||
\(643\) | −11.5623 | + | 11.5623i | −0.455973 | + | 0.455973i | −0.897331 | − | 0.441358i | \(-0.854497\pi\) |
0.441358 | + | 0.897331i | \(0.354497\pi\) | |||||||
\(644\) | 30.7768 | − | 10.0000i | 1.21278 | − | 0.394055i | ||||
\(645\) | 10.8576 | + | 6.71040i | 0.427520 | + | 0.264222i | ||||
\(646\) | 3.23607 | + | 2.35114i | 0.127321 | + | 0.0925044i | ||||
\(647\) | 20.0252 | − | 20.0252i | 0.787271 | − | 0.787271i | −0.193775 | − | 0.981046i | \(-0.562073\pi\) |
0.981046 | + | 0.193775i | \(0.0620731\pi\) | |||||||
\(648\) | −3.47755 | − | 6.82507i | −0.136611 | − | 0.268114i | ||||
\(649\) | 1.52786i | 0.0599739i | ||||||||
\(650\) | 7.16714 | + | 1.19100i | 0.281118 | + | 0.0467150i | ||||
\(651\) | 20.0000 | 0.783862 | ||||||||
\(652\) | 17.7898 | − | 34.9144i | 0.696701 | − | 1.36735i | ||||
\(653\) | 20.0907 | + | 20.0907i | 0.786210 | + | 0.786210i | 0.980871 | − | 0.194661i | \(-0.0623606\pi\) |
−0.194661 | + | 0.980871i | \(0.562361\pi\) | |||||||
\(654\) | 14.6619 | + | 10.6525i | 0.573325 | + | 0.416545i | ||||
\(655\) | −16.1150 | + | 26.0746i | −0.629664 | + | 1.01882i | ||||
\(656\) | 18.4721 | − | 13.4208i | 0.721216 | − | 0.523994i | ||||
\(657\) | −10.5279 | − | 10.5279i | −0.410731 | − | 0.410731i | ||||
\(658\) | 17.8287 | − | 2.82379i | 0.695035 | − | 0.110083i | ||||
\(659\) | 18.0000i | 0.701180i | 0.936529 | + | 0.350590i | \(0.114019\pi\) | ||||
−0.936529 | + | 0.350590i | \(0.885981\pi\) | |||||||
\(660\) | 6.56816 | + | 10.8101i | 0.255665 | + | 0.420784i | ||||
\(661\) | 3.80423i | 0.147967i | 0.997259 | + | 0.0739836i | \(0.0235713\pi\) | ||||
−0.997259 | + | 0.0739836i | \(0.976429\pi\) | |||||||
\(662\) | 6.65219 | + | 42.0003i | 0.258545 | + | 1.63239i | ||||
\(663\) | 0.898056 | + | 0.898056i | 0.0348776 | + | 0.0348776i | ||||
\(664\) | −25.1765 | − | 8.18034i | −0.977038 | − | 0.317459i | ||||
\(665\) | 11.7082 | − | 2.76393i | 0.454025 | − | 0.107181i | ||||
\(666\) | 1.90983 | − | 2.62866i | 0.0740044 | − | 0.101858i | ||||
\(667\) | −26.1803 | − | 26.1803i | −1.01371 | − | 1.01371i | ||||
\(668\) | 10.3464 | − | 20.3060i | 0.400316 | − | 0.785664i | ||||
\(669\) | −17.5680 | −0.679220 | ||||||||
\(670\) | −7.83088 | − | 19.1103i | −0.302533 | − | 0.738294i | ||||
\(671\) | 2.90617i | 0.112191i | ||||||||
\(672\) | −9.40456 | + | 9.40456i | −0.362789 | + | 0.362789i | ||||
\(673\) | −17.2918 | + | 17.2918i | −0.666550 | + | 0.666550i | −0.956916 | − | 0.290366i | \(-0.906223\pi\) |
0.290366 | + | 0.956916i | \(0.406223\pi\) | |||||||
\(674\) | −23.4459 | + | 32.2705i | −0.903102 | + | 1.24301i | ||||
\(675\) | 7.23607 | − | 21.7082i | 0.278516 | − | 0.835549i | ||||
\(676\) | 7.38197 | + | 22.7194i | 0.283922 | + | 0.873821i | ||||
\(677\) | 7.77997 | − | 7.77997i | 0.299008 | − | 0.299008i | −0.541617 | − | 0.840625i | \(-0.682188\pi\) |
0.840625 | + | 0.541617i | \(0.182188\pi\) | |||||||
\(678\) | −15.0351 | + | 2.38132i | −0.577419 | + | 0.0914542i | ||||
\(679\) | 16.1150 | 0.618435 | ||||||||
\(680\) | 5.78298 | + | 6.82328i | 0.221767 | + | 0.261661i | ||||
\(681\) | −11.5967 | −0.444388 | ||||||||
\(682\) | −38.4507 | + | 6.08999i | −1.47235 | + | 0.233198i | ||||
\(683\) | −22.7984 | + | 22.7984i | −0.872356 | + | 0.872356i | −0.992729 | − | 0.120373i | \(-0.961591\pi\) |
0.120373 | + | 0.992729i | \(0.461591\pi\) | |||||||
\(684\) | −8.50651 | + | 2.76393i | −0.325254 | + | 0.105682i | ||||
\(685\) | 16.8415 | − | 3.97574i | 0.643481 | − | 0.151905i | ||||
\(686\) | 15.1246 | − | 20.8172i | 0.577460 | − | 0.794806i | ||||
\(687\) | −4.91428 | + | 4.91428i | −0.187492 | + | 0.187492i | ||||
\(688\) | 4.08662 | − | 25.8019i | 0.155801 | − | 0.983689i | ||||
\(689\) | − | 4.47214i | − | 0.170375i | ||||||
\(690\) | −15.3353 | − | 6.42040i | −0.583805 | − | 0.244420i | ||||
\(691\) | 9.12461 | 0.347117 | 0.173558 | − | 0.984824i | \(-0.444473\pi\) | ||||
0.173558 | + | 0.984824i | \(0.444473\pi\) | |||||||
\(692\) | 36.5178 | + | 18.6068i | 1.38820 | + | 0.707323i | ||||
\(693\) | −13.7638 | − | 13.7638i | −0.522844 | − | 0.522844i | ||||
\(694\) | 30.6053 | − | 42.1246i | 1.16176 | − | 1.59903i | ||||
\(695\) | −40.7364 | − | 25.1765i | −1.54522 | − | 0.954999i | ||||
\(696\) | 14.4721 | + | 4.70228i | 0.548565 | + | 0.178240i | ||||
\(697\) | −5.70820 | − | 5.70820i | −0.216214 | − | 0.216214i | ||||
\(698\) | −3.68793 | − | 23.2847i | −0.139590 | − | 0.881338i | ||||
\(699\) | − | 6.76393i | − | 0.255835i | ||||||
\(700\) | 26.8992 | + | 0.204203i | 1.01669 | + | 0.00771816i | ||||
\(701\) | 19.7072i | 0.744330i | 0.928167 | + | 0.372165i | \(0.121384\pi\) | ||||
−0.928167 | + | 0.372165i | \(0.878616\pi\) | |||||||
\(702\) | −6.56816 | + | 1.04029i | −0.247899 | + | 0.0392634i | ||||
\(703\) | −1.45309 | − | 1.45309i | −0.0548041 | − | 0.0548041i | ||||
\(704\) | 15.2169 | − | 20.9443i | 0.573509 | − | 0.789367i | ||||
\(705\) | −7.88854 | − | 4.87539i | −0.297100 | − | 0.183618i | ||||
\(706\) | 36.2705 | + | 26.3521i | 1.36506 | + | 0.991773i | ||||
\(707\) | −5.52786 | − | 5.52786i | −0.207897 | − | 0.207897i | ||||
\(708\) | 0.735369 | + | 0.374689i | 0.0276369 | + | 0.0140817i | ||||
\(709\) | −3.24920 | −0.122026 | −0.0610131 | − | 0.998137i | \(-0.519433\pi\) | ||||
−0.0610131 | + | 0.998137i | \(0.519433\pi\) | |||||||
\(710\) | 13.9375 | − | 33.2902i | 0.523066 | − | 1.24936i | ||||
\(711\) | − | 6.49839i | − | 0.243709i | ||||||
\(712\) | −6.23015 | + | 3.17442i | −0.233485 | + | 0.118966i | ||||
\(713\) | 36.1803 | − | 36.1803i | 1.35496 | − | 1.35496i | ||||
\(714\) | 3.80423 | + | 2.76393i | 0.142370 | + | 0.103438i | ||||
\(715\) | −7.23607 | + | 1.70820i | −0.270614 | + | 0.0638832i | ||||
\(716\) | 4.65248 | + | 14.3188i | 0.173871 | + | 0.535120i | ||||
\(717\) | 8.29451 | − | 8.29451i | 0.309764 | − | 0.309764i | ||||
\(718\) | 4.40676 | + | 27.8232i | 0.164459 | + | 1.03835i | ||||
\(719\) | −4.01623 | −0.149780 | −0.0748900 | − | 0.997192i | \(-0.523861\pi\) | ||||
−0.0748900 | + | 0.997192i | \(0.523861\pi\) | |||||||
\(720\) | −19.9442 | + | 1.49349i | −0.743275 | + | 0.0556592i | ||||
\(721\) | 12.7639 | 0.475354 | ||||||||
\(722\) | −3.31848 | − | 20.9520i | −0.123501 | − | 0.779754i | ||||
\(723\) | 6.94427 | − | 6.94427i | 0.258260 | − | 0.258260i | ||||
\(724\) | −9.40456 | − | 28.9443i | −0.349518 | − | 1.07571i | ||||
\(725\) | −13.7638 | − | 27.5276i | −0.511175 | − | 1.02235i | ||||
\(726\) | 0.527864 | + | 0.383516i | 0.0195909 | + | 0.0142336i | ||||
\(727\) | 9.51057 | − | 9.51057i | 0.352727 | − | 0.352727i | −0.508396 | − | 0.861123i | \(-0.669761\pi\) |
0.861123 | + | 0.508396i | \(0.169761\pi\) | |||||||
\(728\) | −3.54911 | − | 6.96552i | −0.131539 | − | 0.258159i | ||||
\(729\) | 5.94427i | 0.220158i | ||||||||
\(730\) | −19.4834 | + | 7.98378i | −0.721113 | + | 0.295493i | ||||
\(731\) | −9.23607 | −0.341608 | ||||||||
\(732\) | 1.39875 | + | 0.712701i | 0.0516995 | + | 0.0263422i | ||||
\(733\) | −19.1926 | − | 19.1926i | −0.708896 | − | 0.708896i | 0.257407 | − | 0.966303i | \(-0.417132\pi\) |
−0.966303 | + | 0.257407i | \(0.917132\pi\) | |||||||
\(734\) | 19.7477 | + | 14.3475i | 0.728900 | + | 0.529577i | ||||
\(735\) | 0.449028 | − | 0.106001i | 0.0165626 | − | 0.00390991i | ||||
\(736\) | 34.0260i | 1.25422i | ||||||||
\(737\) | 14.9443 | + | 14.9443i | 0.550479 | + | 0.550479i | ||||
\(738\) | 17.8287 | − | 2.82379i | 0.656283 | − | 0.103945i | ||||
\(739\) | − | 9.41641i | − | 0.346388i | −0.984888 | − | 0.173194i | \(-0.944591\pi\) | ||
0.984888 | − | 0.173194i | \(-0.0554088\pi\) | |||||||
\(740\) | −2.38602 | − | 3.92702i | −0.0877120 | − | 0.144360i | ||||
\(741\) | 1.79611i | 0.0659818i | ||||||||
\(742\) | −2.59023 | − | 16.3540i | −0.0950902 | − | 0.600376i | ||||
\(743\) | −4.80828 | − | 4.80828i | −0.176399 | − | 0.176399i | 0.613385 | − | 0.789784i | \(-0.289807\pi\) |
−0.789784 | + | 0.613385i | \(0.789807\pi\) | |||||||
\(744\) | −6.49839 | + | 20.0000i | −0.238243 | + | 0.733236i | ||||
\(745\) | −15.1246 | + | 24.4721i | −0.554123 | + | 0.896590i | ||||
\(746\) | 26.3820 | − | 36.3117i | 0.965912 | − | 1.32946i | ||||
\(747\) | −14.7984 | − | 14.7984i | −0.541444 | − | 0.541444i | ||||
\(748\) | −8.15537 | − | 4.15537i | −0.298190 | − | 0.151935i | ||||
\(749\) | 3.46120 | 0.126469 | ||||||||
\(750\) | −10.4057 | − | 9.09423i | −0.379961 | − | 0.332074i | ||||
\(751\) | 11.4127i | 0.416455i | 0.978080 | + | 0.208227i | \(0.0667694\pi\) | ||||
−0.978080 | + | 0.208227i | \(0.933231\pi\) | |||||||
\(752\) | −2.96911 | + | 18.7462i | −0.108272 | + | 0.683603i | ||||
\(753\) | 0.111456 | − | 0.111456i | 0.00406169 | − | 0.00406169i | ||||
\(754\) | −5.25731 | + | 7.23607i | −0.191460 | + | 0.263522i | ||||
\(755\) | −12.7639 | − | 7.88854i | −0.464527 | − | 0.287094i | ||||
\(756\) | −23.4164 | + | 7.60845i | −0.851647 | + | 0.276717i | ||||
\(757\) | −31.7154 | + | 31.7154i | −1.15272 | + | 1.15272i | −0.166709 | + | 0.986006i | \(0.553314\pi\) |
−0.986006 | + | 0.166709i | \(0.946686\pi\) | |||||||
\(758\) | 0.155682 | − | 0.0246576i | 0.00565463 | − | 0.000895606i | ||||
\(759\) | 17.0130 | 0.617533 | ||||||||
\(760\) | −1.04029 | + | 12.6063i | −0.0377354 | + | 0.457277i | ||||
\(761\) | 2.94427 | 0.106730 | 0.0533649 | − | 0.998575i | \(-0.483005\pi\) | ||||
0.0533649 | + | 0.998575i | \(0.483005\pi\) | |||||||
\(762\) | 4.83461 | − | 0.765727i | 0.175139 | − | 0.0277394i | ||||
\(763\) | −27.8885 | + | 27.8885i | −1.00963 | + | 1.00963i | ||||
\(764\) | 8.16348 | + | 25.1246i | 0.295344 | + | 0.908977i | ||||
\(765\) | 1.62460 | + | 6.88191i | 0.0587375 | + | 0.248816i | ||||
\(766\) | 1.18034 | − | 1.62460i | 0.0426474 | − | 0.0586991i | ||||
\(767\) | −0.343027 | + | 0.343027i | −0.0123860 | + | 0.0123860i | ||||
\(768\) | −6.34884 | − | 12.4603i | −0.229094 | − | 0.449622i | ||||
\(769\) | − | 6.47214i | − | 0.233391i | −0.993168 | − | 0.116696i | \(-0.962770\pi\) | ||
0.993168 | − | 0.116696i | \(-0.0372302\pi\) | |||||||
\(770\) | −25.4720 | + | 10.4378i | −0.917948 | + | 0.376151i | ||||
\(771\) | 6.54102 | 0.235569 | ||||||||
\(772\) | −1.89034 | + | 3.71000i | −0.0680348 | + | 0.133526i | ||||
\(773\) | 31.5034 | + | 31.5034i | 1.13310 | + | 1.13310i | 0.989659 | + | 0.143439i | \(0.0458159\pi\) |
0.143439 | + | 0.989659i | \(0.454184\pi\) | |||||||
\(774\) | 12.1392 | − | 16.7082i | 0.436335 | − | 0.600564i | ||||
\(775\) | 38.0423 | − | 19.0211i | 1.36652 | − | 0.683259i | ||||
\(776\) | −5.23607 | + | 16.1150i | −0.187964 | + | 0.578493i | ||||
\(777\) | −1.70820 | − | 1.70820i | −0.0612815 | − | 0.0612815i | ||||
\(778\) | −0.917504 | − | 5.79289i | −0.0328941 | − | 0.207685i | ||||
\(779\) | − | 11.4164i | − | 0.409035i | ||||||
\(780\) | −0.952386 | + | 3.90167i | −0.0341009 | + | 0.139702i | ||||
\(781\) | 36.9322i | 1.32154i | ||||||||
\(782\) | 11.8819 | − | 1.88191i | 0.424896 | − | 0.0672969i | ||||
\(783\) | 19.9192 | + | 19.9192i | 0.711854 | + | 0.711854i | ||||
\(784\) | −0.555029 | − | 0.763932i | −0.0198225 | − | 0.0272833i | ||||
\(785\) | 10.1246 | + | 42.8885i | 0.361363 | + | 1.53076i | ||||
\(786\) | −13.7082 | − | 9.95959i | −0.488955 | − | 0.355247i | ||||
\(787\) | 17.8541 | + | 17.8541i | 0.636430 | + | 0.636430i | 0.949673 | − | 0.313243i | \(-0.101415\pi\) |
−0.313243 | + | 0.949673i | \(0.601415\pi\) | |||||||
\(788\) | 11.8560 | − | 23.2686i | 0.422351 | − | 0.828911i | ||||
\(789\) | 9.27354 | 0.330147 | ||||||||
\(790\) | −8.47715 | − | 3.54911i | −0.301603 | − | 0.126272i | ||||
\(791\) | − | 33.1280i | − | 1.17790i | ||||||
\(792\) | 18.2360 | − | 9.29168i | 0.647986 | − | 0.330166i | ||||
\(793\) | −0.652476 | + | 0.652476i | −0.0231701 | + | 0.0231701i | ||||
\(794\) | 39.5609 | + | 28.7426i | 1.40396 | + | 1.02004i | ||||
\(795\) | −4.47214 | + | 7.23607i | −0.158610 | + | 0.256637i | ||||
\(796\) | −41.3050 | + | 13.4208i | −1.46402 | + | 0.475687i | ||||
\(797\) | −14.8334 | + | 14.8334i | −0.525426 | + | 0.525426i | −0.919205 | − | 0.393779i | \(-0.871167\pi\) |
0.393779 | + | 0.919205i | \(0.371167\pi\) | |||||||
\(798\) | 1.04029 | + | 6.56816i | 0.0368260 | + | 0.232510i | ||||
\(799\) | 6.71040 | 0.237397 | ||||||||
\(800\) | −8.94427 | + | 26.8328i | −0.316228 | + | 0.948683i | ||||
\(801\) | −5.52786 | −0.195317 | ||||||||
\(802\) | −7.05476 | − | 44.5420i | −0.249112 | − | 1.57283i | ||||
\(803\) | 15.2361 | − | 15.2361i | 0.537669 | − | 0.537669i | ||||
\(804\) | 10.8576 | − | 3.52786i | 0.382920 | − | 0.124418i | ||||
\(805\) | 19.0211 | − | 30.7768i | 0.670407 | − | 1.08474i | ||||
\(806\) | −10.0000 | − | 7.26543i | −0.352235 | − | 0.255914i | ||||
\(807\) | −12.6538 | + | 12.6538i | −0.445433 | + | 0.445433i | ||||
\(808\) | 7.32398 | − | 3.73175i | 0.257657 | − | 0.131283i | ||||
\(809\) | − | 4.94427i | − | 0.173831i | −0.996216 | − | 0.0869157i | \(-0.972299\pi\) | ||
0.996216 | − | 0.0869157i | \(-0.0277011\pi\) | |||||||
\(810\) | −7.89969 | − | 3.30734i | −0.277567 | − | 0.116208i | ||||
\(811\) | 26.0689 | 0.915402 | 0.457701 | − | 0.889106i | \(-0.348673\pi\) | ||||
0.457701 | + | 0.889106i | \(0.348673\pi\) | |||||||
\(812\) | −15.0343 | + | 29.5064i | −0.527599 | + | 1.03547i | ||||
\(813\) | −10.6456 | − | 10.6456i | −0.373359 | − | 0.373359i | ||||
\(814\) | 3.80423 | + | 2.76393i | 0.133338 | + | 0.0968758i | ||||
\(815\) | −10.0656 | − | 42.6385i | −0.352582 | − | 1.49356i | ||||
\(816\) | −4.00000 | + | 2.90617i | −0.140028 | + | 0.101736i | ||||
\(817\) | −9.23607 | − | 9.23607i | −0.323129 | − | 0.323129i | ||||
\(818\) | −30.1664 | + | 4.77789i | −1.05474 | + | 0.167055i | ||||
\(819\) | − | 6.18034i | − | 0.215959i | ||||||
\(820\) | 6.05354 | − | 24.7997i | 0.211399 | − | 0.866044i | ||||
\(821\) | 17.9111i | 0.625101i | 0.949901 | + | 0.312550i | \(0.101183\pi\) | ||||
−0.949901 | + | 0.312550i | \(0.898817\pi\) | |||||||
\(822\) | 1.49640 | + | 9.44788i | 0.0521928 | + | 0.329532i | ||||
\(823\) | 13.8698 | + | 13.8698i | 0.483472 | + | 0.483472i | 0.906238 | − | 0.422767i | \(-0.138941\pi\) |
−0.422767 | + | 0.906238i | \(0.638941\pi\) | |||||||
\(824\) | −4.14725 | + | 12.7639i | −0.144476 | + | 0.444653i | ||||
\(825\) | 13.4164 | + | 4.47214i | 0.467099 | + | 0.155700i | ||||
\(826\) | −1.05573 | + | 1.45309i | −0.0367335 | + | 0.0505593i | ||||
\(827\) | 8.14590 | + | 8.14590i | 0.283261 | + | 0.283261i | 0.834408 | − | 0.551147i | \(-0.185810\pi\) |
−0.551147 | + | 0.834408i | \(0.685810\pi\) | |||||||
\(828\) | −12.2123 | + | 23.9680i | −0.424407 | + | 0.832946i | ||||
\(829\) | −54.5002 | −1.89287 | −0.946436 | − | 0.322892i | \(-0.895345\pi\) | ||||
−0.946436 | + | 0.322892i | \(0.895345\pi\) | |||||||
\(830\) | −27.3866 | + | 11.2223i | −0.950604 | + | 0.389532i | ||||
\(831\) | − | 11.4127i | − | 0.395901i | ||||||
\(832\) | 8.11869 | − | 1.28587i | 0.281465 | − | 0.0445797i | ||||
\(833\) | −0.236068 | + | 0.236068i | −0.00817927 | + | 0.00817927i | ||||
\(834\) | 15.5599 | − | 21.4164i | 0.538796 | − | 0.741590i | ||||
\(835\) | −5.85410 | − | 24.7984i | −0.202590 | − | 0.858183i | ||||
\(836\) | −4.00000 | − | 12.3107i | −0.138343 | − | 0.425776i | ||||
\(837\) | −27.5276 | + | 27.5276i | −0.951494 | + | 0.951494i | ||||
\(838\) | −40.2737 | + | 6.37873i | −1.39123 | + | 0.220350i | ||||
\(839\) | −15.2169 | −0.525346 | −0.262673 | − | 0.964885i | \(-0.584604\pi\) | ||||
−0.262673 | + | 0.964885i | \(0.584604\pi\) | |||||||
\(840\) | −1.22294 | + | 14.8195i | −0.0421954 | + | 0.511323i | ||||
\(841\) | 8.88854 | 0.306502 | ||||||||
\(842\) | −39.7051 | + | 6.28867i | −1.36833 | + | 0.216722i | ||||
\(843\) | −6.00000 | + | 6.00000i | −0.206651 | + | 0.206651i | ||||
\(844\) | −4.35926 | + | 1.41641i | −0.150052 | + | 0.0487548i | ||||
\(845\) | 22.7194 | + | 14.0413i | 0.781570 | + | 0.483037i | ||||
\(846\) | −8.81966 | + | 12.1392i | −0.303226 | + | 0.417355i | ||||
\(847\) | −1.00406 | + | 1.00406i | −0.0344998 | + | 0.0344998i | ||||
\(848\) | 17.1957 | + | 2.72353i | 0.590501 | + | 0.0935262i | ||||
\(849\) | − | 16.5410i | − | 0.567686i | ||||||
\(850\) | 9.86472 | + | 1.63928i | 0.338357 | + | 0.0562267i | ||||
\(851\) | −6.18034 | −0.211859 | ||||||||
\(852\) | 17.7757 | + | 9.05715i | 0.608984 | + | 0.310293i | ||||
\(853\) | −18.8496 | − | 18.8496i | −0.645399 | − | 0.645399i | 0.306479 | − | 0.951877i | \(-0.400849\pi\) |
−0.951877 | + | 0.306479i | \(0.900849\pi\) | |||||||
\(854\) | −2.00811 | + | 2.76393i | −0.0687163 | + | 0.0945798i | ||||
\(855\) | −5.25731 | + | 8.50651i | −0.179796 | + | 0.290916i | ||||
\(856\) | −1.12461 | + | 3.46120i | −0.0384384 | + | 0.118301i | ||||
\(857\) | 35.8328 | + | 35.8328i | 1.22403 | + | 1.22403i | 0.966188 | + | 0.257837i | \(0.0830099\pi\) |
0.257837 | + | 0.966188i | \(0.416990\pi\) | |||||||
\(858\) | −0.642937 | − | 4.05934i | −0.0219495 | − | 0.138584i | ||||
\(859\) | − | 16.4721i | − | 0.562022i | −0.959705 | − | 0.281011i | \(-0.909330\pi\) | ||
0.959705 | − | 0.281011i | \(-0.0906697\pi\) | |||||||
\(860\) | −15.1660 | − | 24.9608i | −0.517156 | − | 0.851157i | ||||
\(861\) | − | 13.4208i | − | 0.457379i | ||||||
\(862\) | 26.5688 | − | 4.20808i | 0.904935 | − | 0.143328i | ||||
\(863\) | 35.5851 | + | 35.5851i | 1.21133 | + | 1.21133i | 0.970589 | + | 0.240743i | \(0.0773909\pi\) |
0.240743 | + | 0.970589i | \(0.422609\pi\) | |||||||
\(864\) | − | 25.8885i | − | 0.880746i | ||||||
\(865\) | 44.5967 | − | 10.5279i | 1.51633 | − | 0.357958i | ||||
\(866\) | −1.32624 | − | 0.963568i | −0.0450674 | − | 0.0327434i | ||||
\(867\) | −9.27051 | − | 9.27051i | −0.314843 | − | 0.314843i | ||||
\(868\) | −40.7768 | − | 20.7768i | −1.38406 | − | 0.705212i | ||||
\(869\) | 9.40456 | 0.319028 | ||||||||
\(870\) | 15.7426 | − | 6.45089i | 0.533723 | − | 0.218706i | ||||
\(871\) | 6.71040i | 0.227373i | ||||||||
\(872\) | −18.8270 | − | 36.9501i | −0.637563 | − | 1.25129i | ||||
\(873\) | −9.47214 | + | 9.47214i | −0.320583 | + | 0.320583i | ||||
\(874\) | 13.7638 | + | 10.0000i | 0.465568 | + | 0.338255i | ||||
\(875\) | 23.0902 | − | 19.2705i | 0.780590 | − | 0.651462i | ||||
\(876\) | −3.59675 | − | 11.0697i | −0.121523 | − | 0.374009i | ||||
\(877\) | 21.5438 | − | 21.5438i | 0.727482 | − | 0.727482i | −0.242636 | − | 0.970118i | \(-0.578012\pi\) |
0.970118 | + | 0.242636i | \(0.0780119\pi\) | |||||||
\(878\) | −7.77322 | − | 49.0782i | −0.262333 | − | 1.65631i | ||||
\(879\) | −3.80423 | −0.128313 | ||||||||
\(880\) | −2.16140 | − | 28.8635i | −0.0728608 | − | 0.972987i | ||||
\(881\) | 6.87539 | 0.231638 | 0.115819 | − | 0.993270i | \(-0.463051\pi\) | ||||
0.115819 | + | 0.993270i | \(0.463051\pi\) | |||||||
\(882\) | −0.116780 | − | 0.737322i | −0.00393220 | − | 0.0248269i | ||||
\(883\) | −2.79837 | + | 2.79837i | −0.0941728 | + | 0.0941728i | −0.752624 | − | 0.658451i | \(-0.771212\pi\) |
0.658451 | + | 0.752624i | \(0.271212\pi\) | |||||||
\(884\) | −0.898056 | − | 2.76393i | −0.0302049 | − | 0.0929611i | ||||
\(885\) | 0.898056 | − | 0.212002i | 0.0301878 | − | 0.00712638i | ||||
\(886\) | 1.76393 | + | 1.28157i | 0.0592605 | + | 0.0430552i | ||||
\(887\) | −11.5187 | + | 11.5187i | −0.386759 | + | 0.386759i | −0.873530 | − | 0.486770i | \(-0.838175\pi\) |
0.486770 | + | 0.873530i | \(0.338175\pi\) | |||||||
\(888\) | 2.26323 | − | 1.15317i | 0.0759491 | − | 0.0386980i | ||||
\(889\) | 10.6525i | 0.357273i | ||||||||
\(890\) | −3.01905 | + | 7.21110i | −0.101199 | + | 0.241716i | ||||
\(891\) | 8.76393 | 0.293603 | ||||||||
\(892\) | 35.8185 | + | 18.2504i | 1.19929 | + | 0.611069i | ||||
\(893\) | 6.71040 | + | 6.71040i | 0.224555 | + | 0.224555i | ||||
\(894\) | −12.8658 | − | 9.34752i | −0.430295 | − | 0.312628i | ||||
\(895\) | 14.3188 | + | 8.84953i | 0.478626 | + | 0.295807i | ||||
\(896\) | 28.9443 | − | 9.40456i | 0.966960 | − | 0.314184i | ||||
\(897\) | 3.81966 | + | 3.81966i | 0.127535 | + | 0.127535i | ||||
\(898\) | 24.5792 | − | 3.89296i | 0.820218 | − | 0.129910i | ||||
\(899\) | 52.3607i | 1.74633i | ||||||||
\(900\) | −15.9310 | + | 15.6909i | −0.531032 | + | 0.523030i | ||||
\(901\) | − | 6.15537i | − | 0.205065i | ||||||
\(902\) | 4.08662 | + | 25.8019i | 0.136070 | + | 0.859110i | ||||
\(903\) | −10.8576 | − | 10.8576i | −0.361320 | − | 0.361320i | ||||
\(904\) | 33.1280 | + | 10.7639i | 1.10182 | + | 0.358003i | ||||
\(905\) | −28.9443 | − | 17.8885i | −0.962140 | − | 0.594635i | ||||
\(906\) | 4.87539 | − | 6.71040i | 0.161974 | − | 0.222938i | ||||
\(907\) | −7.67376 | − | 7.67376i | −0.254803 | − | 0.254803i | 0.568133 | − | 0.822936i | \(-0.307666\pi\) |
−0.822936 | + | 0.568133i | \(0.807666\pi\) | |||||||
\(908\) | 23.6439 | + | 12.0472i | 0.784651 | + | 0.399800i | ||||
\(909\) | 6.49839 | 0.215538 | ||||||||
\(910\) | −8.06225 | − | 3.37540i | −0.267261 | − | 0.111893i | ||||
\(911\) | − | 10.3026i | − | 0.341341i | −0.985328 | − | 0.170671i | \(-0.945407\pi\) | ||
0.985328 | − | 0.170671i | \(-0.0545934\pi\) | |||||||
\(912\) | −6.90617 | − | 1.09383i | −0.228686 | − | 0.0362203i | ||||
\(913\) | 21.4164 | − | 21.4164i | 0.708780 | − | 0.708780i | ||||
\(914\) | 11.3472 | − | 15.6180i | 0.375331 | − | 0.516599i | ||||
\(915\) | 1.70820 | − | 0.403252i | 0.0564715 | − | 0.0133311i | ||||
\(916\) | 15.1246 | − | 4.91428i | 0.499731 | − | 0.162373i | ||||
\(917\) | 26.0746 | − | 26.0746i | 0.861058 | − | 0.861058i | ||||
\(918\) | −9.04029 | + | 1.43184i | −0.298374 | + | 0.0472578i | ||||
\(919\) | −18.1231 | −0.597825 | −0.298913 | − | 0.954281i | \(-0.596624\pi\) | ||||
−0.298913 | + | 0.954281i | \(0.596624\pi\) | |||||||
\(920\) | 24.5965 | + | 29.0211i | 0.810922 | + | 0.956798i | ||||
\(921\) | −16.7639 | −0.552390 | ||||||||
\(922\) | 38.4507 | − | 6.08999i | 1.26631 | − | 0.200563i | ||||
\(923\) | −8.29180 | + | 8.29180i | −0.272928 | + | 0.272928i | ||||
\(924\) | −4.70228 | − | 14.4721i | −0.154694 | − | 0.476098i | ||||
\(925\) | −4.87380 | − | 1.62460i | −0.160249 | − | 0.0534165i | ||||
\(926\) | −2.88854 | + | 3.97574i | −0.0949234 | + | 0.130651i | ||||
\(927\) | −7.50245 | + | 7.50245i | −0.246413 | + | 0.246413i | ||||
\(928\) | −24.6215 | − | 24.6215i | −0.808239 | − | 0.808239i | ||||
\(929\) | − | 36.6525i | − | 1.20253i | −0.799050 | − | 0.601264i | \(-0.794664\pi\) | ||
0.799050 | − | 0.601264i | \(-0.205336\pi\) | |||||||
\(930\) | 8.91491 | + | 21.7557i | 0.292332 | + | 0.713398i | ||||
\(931\) | −0.472136 | −0.0154736 | ||||||||
\(932\) | −7.02666 | + | 13.7906i | −0.230166 | + | 0.451726i | ||||
\(933\) | 12.8658 | + | 12.8658i | 0.421206 | + | 0.421206i | ||||
\(934\) | −21.5438 | + | 29.6525i | −0.704934 | + | 0.970259i | ||||
\(935\) | −9.95959 | + | 2.35114i | −0.325714 | + | 0.0768905i | ||||
\(936\) | 6.18034 | + | 2.00811i | 0.202011 | + | 0.0656373i | ||||
\(937\) | −42.3050 | − | 42.3050i | −1.38204 | − | 1.38204i | −0.840987 | − | 0.541056i | \(-0.818025\pi\) |
−0.541056 | − | 0.840987i | \(-0.681975\pi\) | |||||||
\(938\) | 3.88661 | + | 24.5391i | 0.126902 | + | 0.801230i | ||||
\(939\) | 2.18034i | 0.0711527i | ||||||||
\(940\) | 11.0187 | + | 18.1351i | 0.359392 | + | 0.591502i | ||||
\(941\) | − | 37.6183i | − | 1.22632i | −0.789959 | − | 0.613160i | \(-0.789898\pi\) | ||
0.789959 | − | 0.613160i | \(-0.210102\pi\) | |||||||
\(942\) | −24.0599 | + | 3.81072i | −0.783915 | + | 0.124160i | ||||
\(943\) | −24.2784 | − | 24.2784i | −0.790615 | − | 0.790615i | ||||
\(944\) | −1.11006 | − | 1.52786i | −0.0361293 | − | 0.0497277i | ||||
\(945\) | −14.4721 | + | 23.4164i | −0.470779 | + | 0.761736i | ||||
\(946\) | 24.1803 | + | 17.5680i | 0.786171 | + | 0.571186i | ||||
\(947\) | −2.14590 | − | 2.14590i | −0.0697323 | − | 0.0697323i | 0.671381 | − | 0.741113i | \(-0.265702\pi\) |
−0.741113 | + | 0.671381i | \(0.765702\pi\) | |||||||
\(948\) | 2.30635 | − | 4.52647i | 0.0749068 | − | 0.147013i | ||||
\(949\) | 6.84142 | 0.222082 | ||||||||
\(950\) | 8.22545 | + | 11.5040i | 0.266869 | + | 0.373239i | ||||
\(951\) | − | 4.91428i | − | 0.159357i | ||||||
\(952\) | −4.88493 | − | 9.58721i | −0.158321 | − | 0.310723i | ||||
\(953\) | −29.1803 | + | 29.1803i | −0.945244 | + | 0.945244i | −0.998577 | − | 0.0533329i | \(-0.983016\pi\) |
0.0533329 | + | 0.998577i | \(0.483016\pi\) | |||||||
\(954\) | 11.1352 | + | 8.09017i | 0.360514 | + | 0.261929i | ||||
\(955\) | 25.1246 | + | 15.5279i | 0.813013 | + | 0.502470i | ||||
\(956\) | −25.5279 | + | 8.29451i | −0.825630 | + | 0.268263i | ||||
\(957\) | −12.3107 | + | 12.3107i | −0.397950 | + | 0.397950i | ||||
\(958\) | −1.04029 | − | 6.56816i | −0.0336104 | − | 0.212208i | ||||
\(959\) | −20.8172 | −0.672224 | ||||||||
\(960\) | −14.4222 | − | 6.03810i | −0.465474 | − | 0.194879i | ||||
\(961\) | −41.3607 | −1.33422 | ||||||||
\(962\) | 0.233561 | + | 1.47464i | 0.00753029 | + | 0.0475444i | ||||
\(963\) | −2.03444 | + | 2.03444i | −0.0655590 | + | 0.0655590i | ||||
\(964\) | −21.3723 | + | 6.94427i | −0.688355 | + | 0.223660i | ||||
\(965\) | 1.06957 | + | 4.53077i | 0.0344307 | + | 0.145851i | ||||
\(966\) | 16.1803 | + | 11.7557i | 0.520594 | + | 0.378234i | ||||
\(967\) | −10.9637 | + | 10.9637i | −0.352567 | + | 0.352567i | −0.861064 | − | 0.508497i | \(-0.830201\pi\) |
0.508497 | + | 0.861064i | \(0.330201\pi\) | |||||||
\(968\) | −0.677819 | − | 1.33030i | −0.0217859 | − | 0.0427573i | ||||
\(969\) | 2.47214i | 0.0794164i | ||||||||
\(970\) | 7.18317 | + | 17.5296i | 0.230638 | + | 0.562842i | ||||
\(971\) | −15.5967 | −0.500523 | −0.250262 | − | 0.968178i | \(-0.580517\pi\) | ||||
−0.250262 | + | 0.968178i | \(0.580517\pi\) | |||||||
\(972\) | 14.6153 | − | 28.6842i | 0.468787 | − | 0.920047i | ||||
\(973\) | 40.7364 | + | 40.7364i | 1.30595 | + | 1.30595i | ||||
\(974\) | −30.6053 | − | 22.2361i | −0.980658 | − | 0.712490i | ||||
\(975\) | 2.00811 | + | 4.01623i | 0.0643111 | + | 0.128622i | ||||
\(976\) | −2.11146 | − | 2.90617i | −0.0675861 | − | 0.0930242i | ||||
\(977\) | −23.7639 | − | 23.7639i | −0.760276 | − | 0.760276i | 0.216096 | − | 0.976372i | \(-0.430667\pi\) |
−0.976372 | + | 0.216096i | \(0.930667\pi\) | |||||||
\(978\) | 23.9197 | − | 3.78851i | 0.764868 | − | 0.121143i | ||||
\(979\) | − | 8.00000i | − | 0.255681i | ||||||
\(980\) | −1.02562 | − | 0.250349i | −0.0327621 | − | 0.00799712i | ||||
\(981\) | − | 32.7849i | − | 1.04674i | ||||||
\(982\) | 3.37070 | + | 21.2818i | 0.107563 | + | 0.679129i | ||||
\(983\) | 18.0171 | + | 18.0171i | 0.574655 | + | 0.574655i | 0.933426 | − | 0.358770i | \(-0.116804\pi\) |
−0.358770 | + | 0.933426i | \(0.616804\pi\) | |||||||
\(984\) | 13.4208 | + | 4.36068i | 0.427839 | + | 0.139013i | ||||
\(985\) | −6.70820 | − | 28.4164i | −0.213741 | − | 0.905422i | ||||
\(986\) | −7.23607 | + | 9.95959i | −0.230443 | + | 0.317178i | ||||
\(987\) | 7.88854 | + | 7.88854i | 0.251095 | + | 0.251095i | ||||
\(988\) | 1.86588 | − | 3.66199i | 0.0593614 | − | 0.116503i | ||||
\(989\) | −39.2833 | −1.24914 | ||||||||
\(990\) | 8.83692 | − | 21.1072i | 0.280856 | − | 0.670832i | ||||
\(991\) | − | 14.3188i | − | 0.454853i | −0.973795 | − | 0.227427i | \(-0.926969\pi\) | ||
0.973795 | − | 0.227427i | \(-0.0730312\pi\) | |||||||
\(992\) | 34.0260 | − | 34.0260i | 1.08033 | − | 1.08033i | ||||
\(993\) | −18.5836 | + | 18.5836i | −0.589732 | + | 0.589732i | ||||
\(994\) | −25.5195 | + | 35.1246i | −0.809430 | + | 1.11409i | ||||
\(995\) | −25.5279 | + | 41.3050i | −0.809288 | + | 1.30945i | ||||
\(996\) | −5.05573 | − | 15.5599i | −0.160197 | − | 0.493035i | ||||
\(997\) | 27.9112 | − | 27.9112i | 0.883955 | − | 0.883955i | −0.109979 | − | 0.993934i | \(-0.535078\pi\) |
0.993934 | + | 0.109979i | \(0.0350783\pi\) | |||||||
\(998\) | 16.6059 | − | 2.63012i | 0.525652 | − | 0.0832551i | ||||
\(999\) | 4.70228 | 0.148774 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))