Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(4,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(110))
chi = DirichletCharacter(H, H._module([55, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.u (of order \(110\), degree \(40\), 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(2560\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{110})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{110}]$ |
Embedding invariants
Embedding label | 4.10 | ||
Character | \(\chi\) | \(=\) | 605.4 |
Dual form | 605.2.u.a.454.10 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{55}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.120999 | + | 2.11603i | −0.0855592 | + | 1.49626i | 0.618313 | + | 0.785932i | \(0.287817\pi\) |
−0.703872 | + | 0.710327i | \(0.748547\pi\) | |||||||
\(3\) | 2.08525 | + | 0.677538i | 1.20392 | + | 0.391177i | 0.841201 | − | 0.540722i | \(-0.181849\pi\) |
0.362717 | + | 0.931899i | \(0.381849\pi\) | |||||||
\(4\) | −2.47598 | − | 0.284092i | −1.23799 | − | 0.142046i | ||||
\(5\) | −2.23590 | + | 0.0274065i | −0.999925 | + | 0.0122565i | ||||
\(6\) | −1.68600 | + | 4.33047i | −0.688308 | + | 1.76791i | ||||
\(7\) | −0.239400 | + | 0.566489i | −0.0904848 | + | 0.214113i | −0.960124 | − | 0.279576i | \(-0.909806\pi\) |
0.869639 | + | 0.493688i | \(0.164352\pi\) | |||||||
\(8\) | 0.177899 | − | 1.02798i | 0.0628969 | − | 0.363447i | ||||
\(9\) | 1.46215 | + | 1.06231i | 0.487383 | + | 0.354105i | ||||
\(10\) | 0.212549 | − | 4.73455i | 0.0672138 | − | 1.49720i | ||||
\(11\) | −2.87962 | + | 1.64554i | −0.868238 | + | 0.496148i | ||||
\(12\) | −4.97055 | − | 2.26997i | −1.43487 | − | 0.655285i | ||||
\(13\) | 2.04158 | + | 3.61517i | 0.566232 | + | 1.00267i | 0.995059 | + | 0.0992807i | \(0.0316542\pi\) |
−0.428827 | + | 0.903387i | \(0.641073\pi\) | |||||||
\(14\) | −1.16974 | − | 0.575123i | −0.312626 | − | 0.153708i | ||||
\(15\) | −4.68098 | − | 1.45776i | −1.20862 | − | 0.376392i | ||||
\(16\) | −2.70120 | − | 0.628136i | −0.675299 | − | 0.157034i | ||||
\(17\) | −0.209304 | − | 0.586616i | −0.0507637 | − | 0.142275i | 0.913772 | − | 0.406227i | \(-0.133156\pi\) |
−0.964536 | + | 0.263952i | \(0.914974\pi\) | |||||||
\(18\) | −2.42481 | + | 2.96542i | −0.571533 | + | 0.698955i | ||||
\(19\) | −0.0830860 | + | 2.90839i | −0.0190612 | + | 0.667230i | 0.932746 | + | 0.360534i | \(0.117405\pi\) |
−0.951807 | + | 0.306697i | \(0.900776\pi\) | |||||||
\(20\) | 5.54383 | + | 0.567344i | 1.23964 | + | 0.126862i | ||||
\(21\) | −0.883027 | + | 1.01907i | −0.192692 | + | 0.222379i | ||||
\(22\) | −3.13358 | − | 6.29247i | −0.668081 | − | 1.34156i | ||||
\(23\) | −0.274549 | + | 0.237898i | −0.0572473 | + | 0.0496051i | −0.683015 | − | 0.730405i | \(-0.739331\pi\) |
0.625767 | + | 0.780010i | \(0.284786\pi\) | |||||||
\(24\) | 1.06746 | − | 2.02306i | 0.217895 | − | 0.412956i | ||||
\(25\) | 4.99850 | − | 0.122556i | 0.999700 | − | 0.0245113i | ||||
\(26\) | −7.89683 | + | 3.88261i | −1.54870 | + | 0.761443i | ||||
\(27\) | −1.53707 | − | 2.11560i | −0.295810 | − | 0.407148i | ||||
\(28\) | 0.753685 | − | 1.33460i | 0.142433 | − | 0.252216i | ||||
\(29\) | −0.438057 | − | 0.640638i | −0.0813452 | − | 0.118964i | 0.782653 | − | 0.622458i | \(-0.213866\pi\) |
−0.863999 | + | 0.503494i | \(0.832048\pi\) | |||||||
\(30\) | 3.65105 | − | 9.72870i | 0.666588 | − | 1.77621i | ||||
\(31\) | 0.558698 | − | 2.75728i | 0.100345 | − | 0.495223i | −0.898116 | − | 0.439759i | \(-0.855064\pi\) |
0.998461 | − | 0.0554632i | \(-0.0176636\pi\) | |||||||
\(32\) | 2.24384 | − | 7.64181i | 0.396658 | − | 1.35089i | ||||
\(33\) | −7.11963 | + | 1.48030i | −1.23937 | + | 0.257687i | ||||
\(34\) | 1.26662 | − | 0.371914i | 0.217224 | − | 0.0637827i | ||||
\(35\) | 0.519750 | − | 1.27317i | 0.0878537 | − | 0.215206i | ||||
\(36\) | −3.31846 | − | 3.04565i | −0.553076 | − | 0.507609i | ||||
\(37\) | −0.544560 | − | 0.593337i | −0.0895250 | − | 0.0975440i | 0.690363 | − | 0.723464i | \(-0.257451\pi\) |
−0.779888 | + | 0.625920i | \(0.784724\pi\) | |||||||
\(38\) | −6.14419 | − | 0.527725i | −0.996719 | − | 0.0856083i | ||||
\(39\) | 1.80779 | + | 8.92177i | 0.289477 | + | 1.42863i | ||||
\(40\) | −0.369592 | + | 2.30334i | −0.0584376 | + | 0.364190i | ||||
\(41\) | 1.21071 | + | 4.60603i | 0.189082 | + | 0.719341i | 0.992321 | + | 0.123685i | \(0.0394713\pi\) |
−0.803240 | + | 0.595656i | \(0.796892\pi\) | |||||||
\(42\) | −2.04953 | − | 1.99182i | −0.316250 | − | 0.307344i | ||||
\(43\) | −2.12996 | + | 0.306242i | −0.324816 | + | 0.0467015i | −0.302794 | − | 0.953056i | \(-0.597919\pi\) |
−0.0220219 | + | 0.999757i | \(0.507010\pi\) | |||||||
\(44\) | 7.59736 | − | 3.25624i | 1.14535 | − | 0.490896i | ||||
\(45\) | −3.29834 | − | 2.33516i | −0.491687 | − | 0.348105i | ||||
\(46\) | −0.470179 | − | 0.609738i | −0.0693240 | − | 0.0899010i | ||||
\(47\) | 0.349714 | + | 0.427682i | 0.0510111 | + | 0.0623839i | 0.799018 | − | 0.601306i | \(-0.205353\pi\) |
−0.748007 | + | 0.663690i | \(0.768989\pi\) | |||||||
\(48\) | −5.20708 | − | 3.13998i | −0.751577 | − | 0.453217i | ||||
\(49\) | 4.61497 | + | 4.74869i | 0.659281 | + | 0.678384i | ||||
\(50\) | −0.345480 | + | 10.5918i | −0.0488583 | + | 1.49791i | ||||
\(51\) | −0.0389964 | − | 1.36505i | −0.00546058 | − | 0.191145i | ||||
\(52\) | −4.02787 | − | 9.53108i | −0.558565 | − | 1.32172i | ||||
\(53\) | 2.11700 | + | 9.10380i | 0.290792 | + | 1.25050i | 0.892229 | + | 0.451583i | \(0.149141\pi\) |
−0.601437 | + | 0.798920i | \(0.705405\pi\) | |||||||
\(54\) | 4.66266 | − | 2.99651i | 0.634508 | − | 0.407773i | ||||
\(55\) | 6.39344 | − | 3.75818i | 0.862092 | − | 0.506753i | ||||
\(56\) | 0.539752 | + | 0.346877i | 0.0721273 | + | 0.0463534i | ||||
\(57\) | −2.14380 | + | 6.00842i | −0.283953 | + | 0.795835i | ||||
\(58\) | 1.40861 | − | 0.849426i | 0.184960 | − | 0.111535i | ||||
\(59\) | −0.0374425 | + | 0.142446i | −0.00487460 | + | 0.0185449i | −0.969540 | − | 0.244934i | \(-0.921234\pi\) |
0.964665 | + | 0.263479i | \(0.0848700\pi\) | |||||||
\(60\) | 11.1759 | + | 4.93921i | 1.44280 | + | 0.637649i | ||||
\(61\) | 8.25222 | − | 0.471879i | 1.05659 | − | 0.0604179i | 0.479853 | − | 0.877349i | \(-0.340690\pi\) |
0.576736 | + | 0.816931i | \(0.304326\pi\) | |||||||
\(62\) | 5.76689 | + | 1.51585i | 0.732396 | + | 0.192513i | ||||
\(63\) | −0.951829 | + | 0.573974i | −0.119919 | + | 0.0723139i | ||||
\(64\) | 10.6748 | + | 3.80877i | 1.33435 | + | 0.476096i | ||||
\(65\) | −4.66385 | − | 8.02720i | −0.578479 | − | 0.995652i | ||||
\(66\) | −2.27089 | − | 15.2445i | −0.279528 | − | 1.87647i | ||||
\(67\) | 3.08884 | + | 4.80633i | 0.377362 | + | 0.587186i | 0.977040 | − | 0.213055i | \(-0.0683413\pi\) |
−0.599679 | + | 0.800241i | \(0.704705\pi\) | |||||||
\(68\) | 0.351580 | + | 1.51191i | 0.0426353 | + | 0.183346i | ||||
\(69\) | −0.733687 | + | 0.310059i | −0.0883255 | + | 0.0373267i | ||||
\(70\) | 2.63118 | + | 1.25386i | 0.314487 | + | 0.149865i | ||||
\(71\) | −6.92706 | + | 8.98318i | −0.822091 | + | 1.06611i | 0.174585 | + | 0.984642i | \(0.444142\pi\) |
−0.996676 | + | 0.0814648i | \(0.974040\pi\) | |||||||
\(72\) | 1.35216 | − | 1.31408i | 0.159353 | − | 0.154866i | ||||
\(73\) | 11.0227 | + | 6.64696i | 1.29012 | + | 0.777968i | 0.984701 | − | 0.174252i | \(-0.0557506\pi\) |
0.305414 | + | 0.952220i | \(0.401205\pi\) | |||||||
\(74\) | 1.32141 | − | 1.08051i | 0.153611 | − | 0.125607i | ||||
\(75\) | 10.5061 | + | 3.13111i | 1.21315 | + | 0.361550i | ||||
\(76\) | 1.03197 | − | 7.17751i | 0.118375 | − | 0.823317i | ||||
\(77\) | −0.242797 | − | 2.02521i | −0.0276693 | − | 0.230795i | ||||
\(78\) | −19.0975 | + | 2.74580i | −2.16236 | + | 0.310901i | ||||
\(79\) | 4.92561 | − | 5.06834i | 0.554175 | − | 0.570232i | −0.380930 | − | 0.924604i | \(-0.624396\pi\) |
0.935105 | + | 0.354372i | \(0.115305\pi\) | |||||||
\(80\) | 6.05682 | + | 1.33042i | 0.677173 | + | 0.148745i | ||||
\(81\) | −3.44726 | − | 10.6096i | −0.383028 | − | 1.17884i | ||||
\(82\) | −9.89299 | + | 2.00458i | −1.09250 | + | 0.221369i | ||||
\(83\) | 16.4628 | + | 1.41399i | 1.80703 | + | 0.155206i | 0.939582 | − | 0.342324i | \(-0.111214\pi\) |
0.867447 | + | 0.497530i | \(0.165759\pi\) | |||||||
\(84\) | 2.47586 | − | 2.27233i | 0.270139 | − | 0.247931i | ||||
\(85\) | 0.484060 | + | 1.30588i | 0.0525037 | + | 0.141642i | ||||
\(86\) | −0.390294 | − | 4.54412i | −0.0420865 | − | 0.490005i | ||||
\(87\) | −0.479401 | − | 1.63269i | −0.0513972 | − | 0.175043i | ||||
\(88\) | 1.17930 | + | 3.25294i | 0.125714 | + | 0.346764i | ||||
\(89\) | −6.52669 | − | 1.91641i | −0.691828 | − | 0.203139i | −0.0831271 | − | 0.996539i | \(-0.526491\pi\) |
−0.608701 | + | 0.793400i | \(0.708309\pi\) | |||||||
\(90\) | 5.34036 | − | 6.69683i | 0.562923 | − | 0.705908i | ||||
\(91\) | −2.53671 | + | 0.291060i | −0.265919 | + | 0.0305114i | ||||
\(92\) | 0.747361 | − | 0.511033i | 0.0779178 | − | 0.0532788i | ||||
\(93\) | 3.03319 | − | 5.37108i | 0.314527 | − | 0.556955i | ||||
\(94\) | −0.947304 | + | 0.688257i | −0.0977069 | + | 0.0709882i | ||||
\(95\) | 0.106063 | − | 6.50515i | 0.0108819 | − | 0.667414i | ||||
\(96\) | 9.85658 | − | 14.4148i | 1.00598 | − | 1.47120i | ||||
\(97\) | 2.30491 | + | 1.21618i | 0.234028 | + | 0.123484i | 0.579579 | − | 0.814916i | \(-0.303217\pi\) |
−0.345551 | + | 0.938400i | \(0.612308\pi\) | |||||||
\(98\) | −10.6068 | + | 9.19082i | −1.07145 | + | 0.928413i | ||||
\(99\) | −5.95851 | − | 0.653038i | −0.598853 | − | 0.0656328i | ||||
\(100\) | −12.4110 | − | 1.11659i | −1.24110 | − | 0.111659i | ||||
\(101\) | −6.42235 | − | 16.4957i | −0.639048 | − | 1.64138i | −0.760928 | − | 0.648836i | \(-0.775256\pi\) |
0.121880 | − | 0.992545i | \(-0.461108\pi\) | |||||||
\(102\) | 2.89321 | + | 0.0826523i | 0.286470 | + | 0.00818380i | ||||
\(103\) | 7.96464 | − | 9.74034i | 0.784779 | − | 0.959744i | −0.215079 | − | 0.976597i | \(-0.569001\pi\) |
0.999858 | + | 0.0168525i | \(0.00536458\pi\) | |||||||
\(104\) | 4.07952 | − | 1.45557i | 0.400030 | − | 0.142731i | ||||
\(105\) | 1.94643 | − | 2.30273i | 0.189952 | − | 0.224724i | ||||
\(106\) | −19.5201 | + | 3.37808i | −1.89596 | + | 0.328108i | ||||
\(107\) | −2.60546 | + | 5.29923i | −0.251879 | + | 0.512296i | −0.986005 | − | 0.166718i | \(-0.946683\pi\) |
0.734126 | + | 0.679014i | \(0.237592\pi\) | |||||||
\(108\) | 3.20474 | + | 5.67486i | 0.308376 | + | 0.546063i | ||||
\(109\) | −1.24582 | + | 2.72797i | −0.119328 | + | 0.261293i | −0.959865 | − | 0.280462i | \(-0.909512\pi\) |
0.840537 | + | 0.541754i | \(0.182240\pi\) | |||||||
\(110\) | 7.17882 | + | 13.9835i | 0.684473 | + | 1.33327i | ||||
\(111\) | −0.733533 | − | 1.60621i | −0.0696239 | − | 0.152455i | ||||
\(112\) | 1.00250 | − | 1.37982i | 0.0947273 | − | 0.130381i | ||||
\(113\) | −1.44529 | + | 8.35154i | −0.135962 | + | 0.785647i | 0.835685 | + | 0.549209i | \(0.185071\pi\) |
−0.971647 | + | 0.236438i | \(0.924020\pi\) | |||||||
\(114\) | −12.4546 | − | 5.26336i | −1.16648 | − | 0.492959i | ||||
\(115\) | 0.607343 | − | 0.539440i | 0.0566350 | − | 0.0503030i | ||||
\(116\) | 0.902620 | + | 1.71066i | 0.0838062 | + | 0.158830i | ||||
\(117\) | −0.855349 | + | 7.45472i | −0.0790771 | + | 0.689189i | ||||
\(118\) | −0.296890 | − | 0.0964653i | −0.0273309 | − | 0.00888035i | ||||
\(119\) | 0.382419 | + | 0.0218675i | 0.0350563 | + | 0.00200459i | ||||
\(120\) | −2.33129 | + | 4.55263i | −0.212817 | + | 0.415596i | ||||
\(121\) | 5.58441 | − | 9.47704i | 0.507674 | − | 0.861549i | ||||
\(122\) | 17.5191i | 1.58610i | ||||||||
\(123\) | −0.596124 | + | 10.4250i | −0.0537507 | + | 0.939992i | ||||
\(124\) | −2.16665 | + | 6.66825i | −0.194571 | + | 0.598827i | ||||
\(125\) | −11.1728 | + | 0.411015i | −0.999324 | + | 0.0367623i | ||||
\(126\) | −1.09938 | − | 2.08355i | −0.0979401 | − | 0.185617i | ||||
\(127\) | −4.43983 | − | 1.72858i | −0.393972 | − | 0.153387i | 0.157623 | − | 0.987499i | \(-0.449617\pi\) |
−0.551595 | + | 0.834112i | \(0.685980\pi\) | |||||||
\(128\) | −3.15049 | + | 7.45496i | −0.278467 | + | 0.658931i | ||||
\(129\) | −4.64899 | − | 0.804539i | −0.409320 | − | 0.0708357i | ||||
\(130\) | 17.5501 | − | 8.89756i | 1.53925 | − | 0.780367i | ||||
\(131\) | −0.0671549 | − | 0.147049i | −0.00586735 | − | 0.0128477i | 0.906676 | − | 0.421829i | \(-0.138612\pi\) |
−0.912543 | + | 0.408981i | \(0.865884\pi\) | |||||||
\(132\) | 18.0486 | − | 1.64256i | 1.57093 | − | 0.142967i | ||||
\(133\) | −1.62768 | − | 0.743337i | −0.141138 | − | 0.0644555i | ||||
\(134\) | −10.5441 | + | 5.95451i | −0.910869 | + | 0.514392i | ||||
\(135\) | 3.49473 | + | 4.68815i | 0.300778 | + | 0.403492i | ||||
\(136\) | −0.640266 | + | 0.110802i | −0.0549023 | + | 0.00950122i | ||||
\(137\) | 0.622752 | − | 2.67804i | 0.0532053 | − | 0.228801i | −0.940668 | − | 0.339329i | \(-0.889800\pi\) |
0.993873 | + | 0.110529i | \(0.0352544\pi\) | |||||||
\(138\) | −0.567318 | − | 1.59002i | −0.0482933 | − | 0.135351i | ||||
\(139\) | 14.6094 | + | 11.9460i | 1.23915 | + | 1.01325i | 0.999097 | + | 0.0424889i | \(0.0135287\pi\) |
0.240054 | + | 0.970760i | \(0.422835\pi\) | |||||||
\(140\) | −1.64859 | + | 3.00469i | −0.139331 | + | 0.253943i | ||||
\(141\) | 0.439470 | + | 1.12877i | 0.0370100 | + | 0.0950595i | ||||
\(142\) | −18.1705 | − | 15.7448i | −1.52483 | − | 1.32128i | ||||
\(143\) | −11.8279 | − | 7.05081i | −0.989096 | − | 0.589619i | ||||
\(144\) | −3.28228 | − | 3.78795i | −0.273523 | − | 0.315662i | ||||
\(145\) | 0.997010 | + | 1.42040i | 0.0827972 | + | 0.117958i | ||||
\(146\) | −15.3989 | + | 22.5202i | −1.27442 | + | 1.86378i | ||||
\(147\) | 6.40593 | + | 13.0290i | 0.528352 | + | 1.07461i | ||||
\(148\) | 1.17976 | + | 1.62379i | 0.0969753 | + | 0.133475i | ||||
\(149\) | −7.81023 | − | 4.41064i | −0.639839 | − | 0.361334i | 0.137422 | − | 0.990513i | \(-0.456118\pi\) |
−0.777260 | + | 0.629179i | \(0.783391\pi\) | |||||||
\(150\) | −7.89676 | + | 21.8525i | −0.644768 | + | 1.78425i | ||||
\(151\) | 16.4725 | − | 1.89004i | 1.34051 | − | 0.153809i | 0.586113 | − | 0.810229i | \(-0.300657\pi\) |
0.754396 | + | 0.656420i | \(0.227930\pi\) | |||||||
\(152\) | 2.97499 | + | 0.602812i | 0.241304 | + | 0.0488945i | ||||
\(153\) | 0.317136 | − | 1.08007i | 0.0256390 | − | 0.0873183i | ||||
\(154\) | 4.31479 | − | 0.268717i | 0.347696 | − | 0.0216539i | ||||
\(155\) | −1.17363 | + | 6.18032i | −0.0942679 | + | 0.496415i | ||||
\(156\) | −1.94143 | − | 22.6037i | −0.155439 | − | 1.80974i | ||||
\(157\) | −15.3958 | + | 16.7749i | −1.22872 | + | 1.33878i | −0.306621 | + | 0.951832i | \(0.599198\pi\) |
−0.922101 | + | 0.386949i | \(0.873529\pi\) | |||||||
\(158\) | 10.1288 | + | 11.0360i | 0.805801 | + | 0.877978i | ||||
\(159\) | −1.75371 | + | 20.4180i | −0.139078 | + | 1.61926i | ||||
\(160\) | −4.80756 | + | 17.1478i | −0.380071 | + | 1.35565i | ||||
\(161\) | −0.0690394 | − | 0.212482i | −0.00544107 | − | 0.0167459i | ||||
\(162\) | 22.8673 | − | 6.01075i | 1.79662 | − | 0.472249i | ||||
\(163\) | 5.56720 | + | 5.41043i | 0.436057 | + | 0.423778i | 0.881975 | − | 0.471296i | \(-0.156214\pi\) |
−0.445918 | + | 0.895074i | \(0.647123\pi\) | |||||||
\(164\) | −1.68916 | − | 11.7484i | −0.131901 | − | 0.917395i | ||||
\(165\) | 15.8782 | − | 3.50493i | 1.23612 | − | 0.272858i | ||||
\(166\) | −4.98404 | + | 34.6647i | −0.386836 | + | 2.69050i | ||||
\(167\) | 8.44674 | − | 6.51341i | 0.653628 | − | 0.504023i | −0.229406 | − | 0.973331i | \(-0.573678\pi\) |
0.883034 | + | 0.469308i | \(0.155497\pi\) | |||||||
\(168\) | 0.890493 | + | 1.08903i | 0.0687030 | + | 0.0840203i | ||||
\(169\) | −2.18823 | + | 3.62877i | −0.168325 | + | 0.279136i | ||||
\(170\) | −2.82185 | + | 0.866276i | −0.216426 | + | 0.0664403i | ||||
\(171\) | −3.21111 | + | 4.16424i | −0.245560 | + | 0.318447i | ||||
\(172\) | 5.36074 | − | 0.153144i | 0.408752 | − | 0.0116771i | ||||
\(173\) | 4.20930 | + | 9.96041i | 0.320027 | + | 0.757276i | 0.999717 | + | 0.0237761i | \(0.00756889\pi\) |
−0.679690 | + | 0.733500i | \(0.737886\pi\) | |||||||
\(174\) | 3.51283 | − | 0.816873i | 0.266307 | − | 0.0619270i | ||||
\(175\) | −1.12721 | + | 2.86093i | −0.0852094 | + | 0.216266i | ||||
\(176\) | 8.81204 | − | 2.63613i | 0.664232 | − | 0.198705i | ||||
\(177\) | −0.174590 | + | 0.271667i | −0.0131230 | + | 0.0204197i | ||||
\(178\) | 4.84490 | − | 13.5788i | 0.363141 | − | 1.01777i | ||||
\(179\) | −5.93585 | − | 9.84350i | −0.443666 | − | 0.735738i | 0.551475 | − | 0.834191i | \(-0.314065\pi\) |
−0.995142 | + | 0.0984533i | \(0.968610\pi\) | |||||||
\(180\) | 7.50321 | + | 6.71883i | 0.559256 | + | 0.500792i | ||||
\(181\) | −22.6452 | + | 1.29490i | −1.68321 | + | 0.0962493i | −0.872315 | − | 0.488945i | \(-0.837382\pi\) |
−0.810893 | + | 0.585194i | \(0.801018\pi\) | |||||||
\(182\) | −0.308953 | − | 5.40297i | −0.0229011 | − | 0.400495i | ||||
\(183\) | 17.5277 | + | 4.60721i | 1.29568 | + | 0.340575i | ||||
\(184\) | 0.195713 | + | 0.324553i | 0.0144281 | + | 0.0239264i | ||||
\(185\) | 1.23384 | + | 1.31172i | 0.0907139 | + | 0.0964394i | ||||
\(186\) | 10.9984 | + | 7.06821i | 0.806438 | + | 0.518266i | ||||
\(187\) | 1.56801 | + | 1.34481i | 0.114665 | + | 0.0983424i | ||||
\(188\) | −0.744384 | − | 1.15828i | −0.0542898 | − | 0.0844765i | ||||
\(189\) | 1.56644 | − | 0.364260i | 0.113942 | − | 0.0264960i | ||||
\(190\) | 13.7523 | + | 1.01155i | 0.997693 | + | 0.0733855i | ||||
\(191\) | −0.0587299 | − | 2.05582i | −0.00424955 | − | 0.148754i | −0.998946 | − | 0.0458999i | \(-0.985384\pi\) |
0.994696 | − | 0.102854i | \(-0.0327973\pi\) | |||||||
\(192\) | 19.6791 | + | 15.1748i | 1.42022 | + | 1.09515i | ||||
\(193\) | 11.2338 | − | 10.9175i | 0.808627 | − | 0.785856i | −0.171299 | − | 0.985219i | \(-0.554796\pi\) |
0.979926 | + | 0.199363i | \(0.0638873\pi\) | |||||||
\(194\) | −2.85236 | + | 4.73011i | −0.204787 | + | 0.339602i | ||||
\(195\) | −4.28654 | − | 19.8986i | −0.306966 | − | 1.42497i | ||||
\(196\) | −10.0775 | − | 13.0687i | −0.719821 | − | 0.933480i | ||||
\(197\) | −15.4571 | − | 2.22239i | −1.10127 | − | 0.158339i | −0.432374 | − | 0.901695i | \(-0.642324\pi\) |
−0.668896 | + | 0.743356i | \(0.733233\pi\) | |||||||
\(198\) | 2.10282 | − | 12.5294i | 0.149441 | − | 0.890424i | ||||
\(199\) | −3.81949 | − | 26.5651i | −0.270756 | − | 1.88315i | −0.440636 | − | 0.897686i | \(-0.645247\pi\) |
0.169880 | − | 0.985465i | \(-0.445662\pi\) | |||||||
\(200\) | 0.763244 | − | 5.16017i | 0.0539695 | − | 0.364879i | ||||
\(201\) | 3.18452 | + | 12.1152i | 0.224619 | + | 0.854539i | ||||
\(202\) | 35.6824 | − | 11.5939i | 2.51061 | − | 0.815746i | ||||
\(203\) | 0.467786 | − | 0.0947857i | 0.0328321 | − | 0.00665265i | ||||
\(204\) | −0.291246 | + | 3.39092i | −0.0203913 | + | 0.237412i | ||||
\(205\) | −2.83327 | − | 10.2654i | −0.197884 | − | 0.716969i | ||||
\(206\) | 19.6471 | + | 18.0320i | 1.36888 | + | 1.25635i | ||||
\(207\) | −0.654153 | + | 0.0561853i | −0.0454668 | + | 0.00390515i | ||||
\(208\) | −3.24389 | − | 11.0477i | −0.224923 | − | 0.766018i | ||||
\(209\) | −4.54661 | − | 8.51178i | −0.314496 | − | 0.588772i | ||||
\(210\) | 4.63714 | + | 4.39733i | 0.319993 | + | 0.303445i | ||||
\(211\) | 1.30032 | − | 6.41733i | 0.0895177 | − | 0.441787i | −0.910106 | − | 0.414374i | \(-0.864000\pi\) |
0.999624 | − | 0.0274129i | \(-0.00872688\pi\) | |||||||
\(212\) | −2.65533 | − | 23.1422i | −0.182369 | − | 1.58942i | ||||
\(213\) | −20.5311 | + | 14.0388i | −1.40677 | + | 0.961923i | ||||
\(214\) | −10.8981 | − | 6.15443i | −0.744977 | − | 0.420708i | ||||
\(215\) | 4.75399 | − | 0.743101i | 0.324219 | − | 0.0506791i | ||||
\(216\) | −2.44825 | + | 1.20372i | −0.166582 | + | 0.0819029i | ||||
\(217\) | 1.42822 | + | 0.976590i | 0.0969538 | + | 0.0662953i | ||||
\(218\) | −5.62173 | − | 2.96628i | −0.380752 | − | 0.200902i | ||||
\(219\) | 18.4816 | + | 21.3289i | 1.24887 | + | 1.44127i | ||||
\(220\) | −16.8977 | + | 7.48884i | −1.13924 | + | 0.504898i | ||||
\(221\) | 1.69340 | − | 1.95429i | 0.113911 | − | 0.131460i | ||||
\(222\) | 3.48755 | − | 1.35783i | 0.234069 | − | 0.0911315i | ||||
\(223\) | −26.1457 | − | 0.746924i | −1.75085 | − | 0.0500177i | −0.861640 | − | 0.507520i | \(-0.830562\pi\) |
−0.889208 | + | 0.457503i | \(0.848744\pi\) | |||||||
\(224\) | 3.79183 | + | 3.10056i | 0.253352 | + | 0.207165i | ||||
\(225\) | 7.43875 | + | 5.13078i | 0.495917 | + | 0.342052i | ||||
\(226\) | −17.4972 | − | 4.06881i | −1.16390 | − | 0.270653i | ||||
\(227\) | 2.06626 | + | 11.9398i | 0.137143 | + | 0.792473i | 0.970746 | + | 0.240109i | \(0.0771831\pi\) |
−0.833603 | + | 0.552364i | \(0.813726\pi\) | |||||||
\(228\) | 7.01495 | − | 14.2677i | 0.464576 | − | 0.944901i | ||||
\(229\) | −2.50062 | + | 1.41217i | −0.165246 | + | 0.0933185i | −0.572137 | − | 0.820158i | \(-0.693885\pi\) |
0.406891 | + | 0.913477i | \(0.366613\pi\) | |||||||
\(230\) | 1.06798 | + | 1.35043i | 0.0704207 | + | 0.0890446i | ||||
\(231\) | 0.865868 | − | 4.38758i | 0.0569699 | − | 0.288682i | ||||
\(232\) | −0.736495 | + | 0.336346i | −0.0483533 | + | 0.0220822i | ||||
\(233\) | −0.586432 | + | 0.807155i | −0.0384185 | + | 0.0528785i | −0.827794 | − | 0.561032i | \(-0.810404\pi\) |
0.789376 | + | 0.613911i | \(0.210404\pi\) | |||||||
\(234\) | −15.6709 | − | 2.71196i | −1.02444 | − | 0.177286i | ||||
\(235\) | −0.793647 | − | 0.946671i | −0.0517718 | − | 0.0617540i | ||||
\(236\) | 0.133175 | − | 0.342056i | 0.00866893 | − | 0.0222660i | ||||
\(237\) | 13.7051 | − | 7.23145i | 0.890243 | − | 0.469733i | ||||
\(238\) | −0.0925446 | + | 0.806564i | −0.00599877 | + | 0.0522818i | ||||
\(239\) | −3.90181 | + | 12.0085i | −0.252387 | + | 0.776768i | 0.741946 | + | 0.670460i | \(0.233903\pi\) |
−0.994333 | + | 0.106308i | \(0.966097\pi\) | |||||||
\(240\) | 11.7286 | + | 6.87798i | 0.757075 | + | 0.443972i | ||||
\(241\) | 7.31822 | 0.471408 | 0.235704 | − | 0.971825i | \(-0.424260\pi\) | ||||
0.235704 | + | 0.971825i | \(0.424260\pi\) | |||||||
\(242\) | 19.3780 | + | 12.9635i | 1.24566 | + | 0.833325i | ||||
\(243\) | − | 16.6141i | − | 1.06580i | ||||||
\(244\) | −20.5664 | − | 1.17603i | −1.31663 | − | 0.0752875i | ||||
\(245\) | −10.4487 | − | 10.4911i | −0.667546 | − | 0.670252i | ||||
\(246\) | −21.9875 | − | 2.52283i | −1.40187 | − | 0.160850i | ||||
\(247\) | −10.6839 | + | 5.63734i | −0.679803 | + | 0.358695i | ||||
\(248\) | −2.73505 | − | 1.06485i | −0.173676 | − | 0.0676181i | ||||
\(249\) | 33.3710 | + | 14.1027i | 2.11480 | + | 0.893723i | ||||
\(250\) | 0.482176 | − | 23.6917i | 0.0304955 | − | 1.49839i | ||||
\(251\) | −9.45742 | − | 6.87121i | −0.596947 | − | 0.433707i | 0.247847 | − | 0.968799i | \(-0.420277\pi\) |
−0.844794 | + | 0.535092i | \(0.820277\pi\) | |||||||
\(252\) | 2.51977 | − | 1.15074i | 0.158731 | − | 0.0724898i | ||||
\(253\) | 0.399126 | − | 1.13683i | 0.0250928 | − | 0.0714722i | ||||
\(254\) | 4.19495 | − | 9.18567i | 0.263215 | − | 0.576360i | ||||
\(255\) | 0.124603 | + | 3.05105i | 0.00780296 | + | 0.191064i | ||||
\(256\) | 4.94845 | + | 2.43299i | 0.309278 | + | 0.152062i | ||||
\(257\) | 2.55801 | + | 14.7813i | 0.159564 | + | 0.922035i | 0.950635 | + | 0.310310i | \(0.100433\pi\) |
−0.791071 | + | 0.611724i | \(0.790476\pi\) | |||||||
\(258\) | 2.26495 | − | 9.74005i | 0.141010 | − | 0.606389i | ||||
\(259\) | 0.466486 | − | 0.166442i | 0.0289861 | − | 0.0103422i | ||||
\(260\) | 9.26712 | + | 21.2001i | 0.574722 | + | 1.31478i | ||||
\(261\) | 0.0400538 | − | 1.40206i | 0.00247927 | − | 0.0867856i | ||||
\(262\) | 0.319285 | − | 0.124309i | 0.0197255 | − | 0.00767984i | ||||
\(263\) | −17.1510 | − | 14.8614i | −1.05758 | − | 0.916395i | −0.0609230 | − | 0.998142i | \(-0.519404\pi\) |
−0.996653 | + | 0.0817476i | \(0.973950\pi\) | |||||||
\(264\) | 0.255146 | + | 7.58220i | 0.0157031 | + | 0.466652i | ||||
\(265\) | −4.98290 | − | 20.2972i | −0.306097 | − | 1.24685i | ||||
\(266\) | 1.76987 | − | 3.35428i | 0.108518 | − | 0.205664i | ||||
\(267\) | −12.3113 | − | 8.41827i | −0.753441 | − | 0.515190i | ||||
\(268\) | −6.28246 | − | 12.7779i | −0.383762 | − | 0.780533i | ||||
\(269\) | 22.1662 | − | 16.1047i | 1.35149 | − | 0.981918i | 0.352559 | − | 0.935790i | \(-0.385312\pi\) |
0.998935 | − | 0.0461289i | \(-0.0146885\pi\) | |||||||
\(270\) | −10.3431 | + | 6.82769i | −0.629462 | + | 0.415520i | ||||
\(271\) | −11.3964 | − | 16.6666i | −0.692279 | − | 1.01243i | −0.998177 | − | 0.0603614i | \(-0.980775\pi\) |
0.305898 | − | 0.952064i | \(-0.401044\pi\) | |||||||
\(272\) | 0.196897 | + | 1.71604i | 0.0119386 | + | 0.104050i | ||||
\(273\) | −5.48687 | − | 1.11178i | −0.332080 | − | 0.0672882i | ||||
\(274\) | 5.59147 | + | 1.64180i | 0.337793 | + | 0.0991849i | ||||
\(275\) | −14.1921 | + | 8.57813i | −0.855816 | + | 0.517281i | ||||
\(276\) | 1.90468 | − | 0.559264i | 0.114648 | − | 0.0336637i | ||||
\(277\) | −18.0816 | + | 1.55303i | −1.08642 | + | 0.0933126i | −0.614947 | − | 0.788568i | \(-0.710823\pi\) |
−0.471472 | + | 0.881881i | \(0.656277\pi\) | |||||||
\(278\) | −27.0459 | + | 29.4684i | −1.62210 | + | 1.76740i | ||||
\(279\) | 3.74600 | − | 3.43805i | 0.224267 | − | 0.205831i | ||||
\(280\) | −1.21634 | − | 0.760790i | −0.0726900 | − | 0.0454659i | ||||
\(281\) | 5.45633 | + | 26.9281i | 0.325497 | + | 1.60639i | 0.724387 | + | 0.689394i | \(0.242123\pi\) |
−0.398889 | + | 0.916999i | \(0.630604\pi\) | |||||||
\(282\) | −2.44168 | + | 0.793351i | −0.145400 | + | 0.0472434i | ||||
\(283\) | 16.2873 | − | 4.28117i | 0.968177 | − | 0.254489i | 0.264007 | − | 0.964521i | \(-0.414956\pi\) |
0.704170 | + | 0.710032i | \(0.251319\pi\) | |||||||
\(284\) | 19.7033 | − | 20.2742i | 1.16918 | − | 1.20305i | ||||
\(285\) | 4.62865 | − | 13.4930i | 0.274178 | − | 0.799255i | ||||
\(286\) | 16.3509 | − | 24.1750i | 0.966848 | − | 1.42950i | ||||
\(287\) | −2.89911 | − | 0.416829i | −0.171129 | − | 0.0246046i | ||||
\(288\) | 11.3988 | − | 8.78982i | 0.671683 | − | 0.517945i | ||||
\(289\) | 12.8601 | − | 10.5156i | 0.756476 | − | 0.618568i | ||||
\(290\) | −3.12624 | + | 1.93784i | −0.183579 | + | 0.113794i | ||||
\(291\) | 3.98231 | + | 4.09770i | 0.233447 | + | 0.240211i | ||||
\(292\) | −25.4037 | − | 19.5892i | −1.48664 | − | 1.14637i | ||||
\(293\) | 13.3427 | − | 0.381171i | 0.779491 | − | 0.0222683i | 0.363450 | − | 0.931614i | \(-0.381599\pi\) |
0.416042 | + | 0.909346i | \(0.363417\pi\) | |||||||
\(294\) | −28.3449 | + | 11.9786i | −1.65311 | + | 0.698609i | ||||
\(295\) | 0.0798138 | − | 0.319521i | 0.00464694 | − | 0.0186033i | ||||
\(296\) | −0.706816 | + | 0.454243i | −0.0410829 | + | 0.0264024i | ||||
\(297\) | 7.90749 | + | 3.56281i | 0.458839 | + | 0.206735i | ||||
\(298\) | 10.2781 | − | 15.9930i | 0.595393 | − | 0.926449i | ||||
\(299\) | −1.42055 | − | 0.506852i | −0.0821527 | − | 0.0293120i | ||||
\(300\) | −25.1235 | − | 10.7373i | −1.45050 | − | 0.619917i | ||||
\(301\) | 0.336430 | − | 1.27991i | 0.0193915 | − | 0.0737730i | ||||
\(302\) | 2.00623 | + | 35.0849i | 0.115445 | + | 2.01891i | ||||
\(303\) | −2.21575 | − | 38.7490i | −0.127291 | − | 2.22607i | ||||
\(304\) | 2.05130 | − | 7.80394i | 0.117650 | − | 0.447587i | ||||
\(305\) | −18.4382 | + | 1.28124i | −1.05577 | + | 0.0733635i | ||||
\(306\) | 2.24708 | + | 0.801757i | 0.128457 | + | 0.0458334i | ||||
\(307\) | −2.64277 | + | 4.11223i | −0.150831 | + | 0.234698i | −0.908444 | − | 0.418006i | \(-0.862729\pi\) |
0.757613 | + | 0.652704i | \(0.226365\pi\) | |||||||
\(308\) | 0.0258135 | + | 5.08337i | 0.00147086 | + | 0.289652i | ||||
\(309\) | 23.2077 | − | 14.9147i | 1.32024 | − | 0.848466i | ||||
\(310\) | −12.9357 | − | 3.23124i | −0.734700 | − | 0.183522i | ||||
\(311\) | 13.7978 | − | 5.83102i | 0.782404 | − | 0.330647i | 0.0387826 | − | 0.999248i | \(-0.487652\pi\) |
0.743621 | + | 0.668601i | \(0.233107\pi\) | |||||||
\(312\) | 9.49303 | − | 0.271194i | 0.537437 | − | 0.0153533i | ||||
\(313\) | −1.53999 | − | 1.18751i | −0.0870454 | − | 0.0671221i | 0.566202 | − | 0.824266i | \(-0.308412\pi\) |
−0.653248 | + | 0.757144i | \(0.726594\pi\) | |||||||
\(314\) | −33.6333 | − | 34.6078i | −1.89803 | − | 1.95303i | ||||
\(315\) | 2.11246 | − | 1.30943i | 0.119024 | − | 0.0737783i | ||||
\(316\) | −13.6356 | + | 11.1498i | −0.767062 | + | 0.627223i | ||||
\(317\) | −10.2080 | + | 7.87156i | −0.573339 | + | 0.442111i | −0.855902 | − | 0.517138i | \(-0.826997\pi\) |
0.282563 | + | 0.959249i | \(0.408815\pi\) | |||||||
\(318\) | −42.9930 | − | 6.18146i | −2.41093 | − | 0.346639i | ||||
\(319\) | 2.31563 | + | 1.12395i | 0.129651 | + | 0.0629294i | ||||
\(320\) | −23.9722 | − | 8.22347i | −1.34009 | − | 0.459706i | ||||
\(321\) | −9.02345 | + | 9.28491i | −0.503640 | + | 0.518233i | ||||
\(322\) | 0.457971 | − | 0.120379i | 0.0255217 | − | 0.00670848i | ||||
\(323\) | 1.72350 | − | 0.559998i | 0.0958980 | − | 0.0311591i | ||||
\(324\) | 5.52124 | + | 27.2484i | 0.306736 | + | 1.51380i | ||||
\(325\) | 10.6479 | + | 17.8202i | 0.590639 | + | 0.988487i | ||||
\(326\) | −12.1223 | + | 11.1257i | −0.671390 | + | 0.616196i | ||||
\(327\) | −4.44616 | + | 4.84441i | −0.245873 | + | 0.267896i | ||||
\(328\) | 4.95030 | − | 0.425182i | 0.273335 | − | 0.0234767i | ||||
\(329\) | −0.325999 | + | 0.0957220i | −0.0179729 | + | 0.00527732i | ||||
\(330\) | 5.49529 | + | 34.0229i | 0.302506 | + | 1.87290i | ||||
\(331\) | −26.6147 | − | 7.81478i | −1.46288 | − | 0.429539i | −0.549100 | − | 0.835757i | \(-0.685029\pi\) |
−0.913776 | + | 0.406218i | \(0.866848\pi\) | |||||||
\(332\) | −40.3599 | − | 8.17797i | −2.21504 | − | 0.448825i | ||||
\(333\) | −0.165918 | − | 1.44604i | −0.00909224 | − | 0.0792426i | ||||
\(334\) | 12.7605 | + | 18.6617i | 0.698224 | + | 1.02112i | ||||
\(335\) | −7.03806 | − | 10.6618i | −0.384530 | − | 0.582517i | ||||
\(336\) | 3.02534 | − | 2.19804i | 0.165046 | − | 0.119913i | ||||
\(337\) | −15.8876 | − | 32.3138i | −0.865455 | − | 1.76025i | −0.607963 | − | 0.793966i | \(-0.708013\pi\) |
−0.257492 | − | 0.966280i | \(-0.582896\pi\) | |||||||
\(338\) | −7.41381 | − | 5.06943i | −0.403258 | − | 0.275741i | ||||
\(339\) | −8.67228 | + | 16.4358i | −0.471013 | + | 0.892670i | ||||
\(340\) | −0.827533 | − | 3.37084i | −0.0448793 | − | 0.182810i | ||||
\(341\) | 2.92837 | + | 8.85928i | 0.158580 | + | 0.479757i | ||||
\(342\) | −8.42312 | − | 7.29867i | −0.455470 | − | 0.394667i | ||||
\(343\) | −7.80656 | + | 3.03937i | −0.421515 | + | 0.164111i | ||||
\(344\) | −0.0641071 | + | 2.24404i | −0.00345642 | + | 0.120991i | ||||
\(345\) | 1.63195 | − | 0.713368i | 0.0878614 | − | 0.0384064i | ||||
\(346\) | −21.5858 | + | 7.70181i | −1.16046 | + | 0.414052i | ||||
\(347\) | 2.83000 | − | 12.1699i | 0.151922 | − | 0.653317i | −0.841641 | − | 0.540038i | \(-0.818410\pi\) |
0.993563 | − | 0.113279i | \(-0.0361354\pi\) | |||||||
\(348\) | 0.723153 | + | 4.17870i | 0.0387651 | + | 0.224002i | ||||
\(349\) | −9.44178 | − | 4.64221i | −0.505407 | − | 0.248492i | 0.170663 | − | 0.985329i | \(-0.445409\pi\) |
−0.676070 | + | 0.736838i | \(0.736318\pi\) | |||||||
\(350\) | −5.91743 | − | 2.73139i | −0.316300 | − | 0.145999i | ||||
\(351\) | 4.51020 | − | 9.87595i | 0.240737 | − | 0.527139i | ||||
\(352\) | 6.11349 | + | 25.6978i | 0.325850 | + | 1.36970i | ||||
\(353\) | 25.7294 | − | 11.7502i | 1.36944 | − | 0.625402i | 0.411246 | − | 0.911524i | \(-0.365094\pi\) |
0.958193 | + | 0.286122i | \(0.0923663\pi\) | |||||||
\(354\) | −0.553730 | − | 0.402308i | −0.0294304 | − | 0.0213824i | ||||
\(355\) | 15.2420 | − | 20.2753i | 0.808963 | − | 1.07610i | ||||
\(356\) | 15.6155 | + | 6.59917i | 0.827620 | + | 0.349755i | ||||
\(357\) | 0.782622 | + | 0.304703i | 0.0414208 | + | 0.0161266i | ||||
\(358\) | 21.5474 | − | 11.3694i | 1.13881 | − | 0.600891i | ||||
\(359\) | 19.9203 | + | 2.28564i | 1.05135 | + | 0.120632i | 0.622404 | − | 0.782696i | \(-0.286156\pi\) |
0.428950 | + | 0.903328i | \(0.358884\pi\) | |||||||
\(360\) | −2.98727 | + | 2.97521i | −0.157443 | + | 0.156807i | ||||
\(361\) | 10.5172 | + | 0.601394i | 0.553536 | + | 0.0316523i | ||||
\(362\) | − | 48.0747i | − | 2.52675i | ||||||
\(363\) | 18.0659 | − | 15.9783i | 0.948216 | − | 0.838645i | ||||
\(364\) | 6.36352 | 0.333539 | ||||||||
\(365\) | −24.8279 | − | 14.5598i | −1.29955 | − | 0.762097i | ||||
\(366\) | −11.8698 | + | 36.5316i | −0.620446 | + | 1.90954i | ||||
\(367\) | 2.64016 | − | 23.0101i | 0.137815 | − | 1.20112i | −0.722507 | − | 0.691364i | \(-0.757010\pi\) |
0.860322 | − | 0.509751i | \(-0.170263\pi\) | |||||||
\(368\) | 0.891042 | − | 0.470154i | 0.0464488 | − | 0.0245085i | ||||
\(369\) | −3.12281 | + | 8.02086i | −0.162567 | + | 0.417550i | ||||
\(370\) | −2.92493 | + | 2.45213i | −0.152060 | + | 0.127480i | ||||
\(371\) | −5.66401 | − | 0.980196i | −0.294061 | − | 0.0508893i | ||||
\(372\) | −9.03599 | + | 12.4370i | −0.468494 | + | 0.644827i | ||||
\(373\) | 20.1471 | − | 9.20088i | 1.04318 | − | 0.476403i | 0.181251 | − | 0.983437i | \(-0.441985\pi\) |
0.861926 | + | 0.507033i | \(0.169258\pi\) | |||||||
\(374\) | −3.03539 | + | 3.15524i | −0.156956 | + | 0.163154i | ||||
\(375\) | −23.5765 | − | 6.71292i | −1.21749 | − | 0.346654i | ||||
\(376\) | 0.501864 | − | 0.283416i | 0.0258817 | − | 0.0146160i | ||||
\(377\) | 1.42169 | − | 2.89157i | 0.0732206 | − | 0.148923i | ||||
\(378\) | 0.581248 | + | 3.35871i | 0.0298962 | + | 0.172754i | ||||
\(379\) | −6.76795 | − | 1.57382i | −0.347646 | − | 0.0808417i | 0.0490377 | − | 0.998797i | \(-0.484385\pi\) |
−0.396684 | + | 0.917955i | \(0.629839\pi\) | |||||||
\(380\) | −2.11067 | + | 16.0765i | −0.108275 | + | 0.824706i | ||||
\(381\) | −8.08697 | − | 6.61268i | −0.414308 | − | 0.338778i | ||||
\(382\) | 4.35727 | + | 0.124477i | 0.222938 | + | 0.00636881i | ||||
\(383\) | 4.70033 | − | 1.83000i | 0.240175 | − | 0.0935088i | −0.239695 | − | 0.970848i | \(-0.577047\pi\) |
0.479870 | + | 0.877339i | \(0.340684\pi\) | |||||||
\(384\) | −11.6206 | + | 13.4109i | −0.593010 | + | 0.684370i | ||||
\(385\) | 0.598374 | + | 4.52152i | 0.0304960 | + | 0.230438i | ||||
\(386\) | 21.7424 | + | 25.0921i | 1.10666 | + | 1.27715i | ||||
\(387\) | −3.43965 | − | 1.81492i | −0.174847 | − | 0.0922574i | ||||
\(388\) | −5.36141 | − | 3.66604i | −0.272184 | − | 0.186115i | ||||
\(389\) | 23.5262 | − | 11.5671i | 1.19283 | − | 0.586474i | 0.266734 | − | 0.963770i | \(-0.414055\pi\) |
0.926092 | + | 0.377297i | \(0.123146\pi\) | |||||||
\(390\) | 42.6248 | − | 6.66273i | 2.15839 | − | 0.337381i | ||||
\(391\) | 0.197019 | + | 0.111262i | 0.00996366 | + | 0.00562674i | ||||
\(392\) | 5.70257 | − | 3.89931i | 0.288023 | − | 0.196945i | ||||
\(393\) | −0.0404035 | − | 0.352133i | −0.00203809 | − | 0.0177628i | ||||
\(394\) | 6.57293 | − | 32.4387i | 0.331140 | − | 1.63424i | ||||
\(395\) | −10.8743 | + | 11.4673i | −0.547144 | + | 0.576982i | ||||
\(396\) | 14.5676 | + | 3.30967i | 0.732051 | + | 0.166317i | ||||
\(397\) | 7.83039 | + | 26.6679i | 0.392996 | + | 1.33842i | 0.884091 | + | 0.467315i | \(0.154779\pi\) |
−0.491095 | + | 0.871106i | \(0.663403\pi\) | |||||||
\(398\) | 56.6747 | − | 4.86780i | 2.84085 | − | 0.244001i | ||||
\(399\) | −2.89048 | − | 2.65286i | −0.144705 | − | 0.132809i | ||||
\(400\) | −13.5789 | − | 2.80869i | −0.678945 | − | 0.140434i | ||||
\(401\) | 0.537640 | − | 6.25963i | 0.0268485 | − | 0.312591i | −0.970572 | − | 0.240811i | \(-0.922587\pi\) |
0.997420 | − | 0.0717801i | \(-0.0228680\pi\) | |||||||
\(402\) | −26.0214 | + | 5.27262i | −1.29783 | + | 0.262975i | ||||
\(403\) | 11.1087 | − | 3.60942i | 0.553362 | − | 0.179798i | ||||
\(404\) | 11.2153 | + | 42.6675i | 0.557983 | + | 2.12279i | ||||
\(405\) | 7.99849 | + | 23.6274i | 0.397448 | + | 1.17406i | ||||
\(406\) | 0.143968 | + | 1.00132i | 0.00714500 | + | 0.0496946i | ||||
\(407\) | 2.54448 | + | 0.812491i | 0.126125 | + | 0.0402737i | ||||
\(408\) | −1.41019 | − | 0.202754i | −0.0698146 | − | 0.0100378i | ||||
\(409\) | 21.8088 | + | 28.2821i | 1.07837 | + | 1.39846i | 0.910921 | + | 0.412581i | \(0.135372\pi\) |
0.167453 | + | 0.985880i | \(0.446446\pi\) | |||||||
\(410\) | 22.0648 | − | 4.75317i | 1.08970 | − | 0.234742i | ||||
\(411\) | 3.11307 | − | 5.16245i | 0.153556 | − | 0.254645i | ||||
\(412\) | −22.4874 | + | 21.8542i | −1.10788 | + | 1.07668i | ||||
\(413\) | −0.0717304 | − | 0.0553124i | −0.00352962 | − | 0.00272174i | ||||
\(414\) | −0.0397379 | − | 1.39101i | −0.00195301 | − | 0.0683643i | ||||
\(415\) | −36.8480 | − | 2.71036i | −1.80880 | − | 0.133046i | ||||
\(416\) | 32.2074 | − | 7.48951i | 1.57910 | − | 0.367204i | ||||
\(417\) | 22.3703 | + | 34.8088i | 1.09548 | + | 1.70460i | ||||
\(418\) | 18.5613 | − | 8.59084i | 0.907863 | − | 0.420192i | ||||
\(419\) | −18.6323 | − | 11.9743i | −0.910248 | − | 0.584981i | −0.000434974 | − | 1.00000i | \(-0.500138\pi\) |
−0.909813 | + | 0.415019i | \(0.863775\pi\) | |||||||
\(420\) | −5.47351 | + | 5.14855i | −0.267080 | + | 0.251224i | ||||
\(421\) | 5.78846 | + | 9.59908i | 0.282112 | + | 0.467831i | 0.964838 | − | 0.262844i | \(-0.0846604\pi\) |
−0.682726 | + | 0.730674i | \(0.739206\pi\) | |||||||
\(422\) | 13.4219 | + | 3.52801i | 0.653369 | + | 0.171741i | ||||
\(423\) | 0.0570015 | + | 0.996842i | 0.00277151 | + | 0.0484681i | ||||
\(424\) | 9.73516 | − | 0.556677i | 0.472781 | − | 0.0270346i | ||||
\(425\) | −1.11810 | − | 2.90655i | −0.0542358 | − | 0.140988i | ||||
\(426\) | −27.2223 | − | 45.1431i | −1.31892 | − | 2.18719i | ||||
\(427\) | −1.70827 | + | 4.78776i | −0.0826690 | + | 0.231696i | ||||
\(428\) | 7.95652 | − | 12.3806i | 0.384593 | − | 0.598439i | ||||
\(429\) | −19.8868 | − | 22.7165i | −0.960146 | − | 1.09676i | ||||
\(430\) | 0.997197 | + | 10.1495i | 0.0480891 | + | 0.489452i | ||||
\(431\) | −5.78032 | + | 1.34416i | −0.278428 | + | 0.0647457i | −0.363385 | − | 0.931639i | \(-0.618379\pi\) |
0.0849573 | + | 0.996385i | \(0.472925\pi\) | |||||||
\(432\) | 2.82305 | + | 6.68015i | 0.135824 | + | 0.321399i | ||||
\(433\) | −19.1974 | + | 0.548426i | −0.922569 | + | 0.0263557i | −0.486618 | − | 0.873615i | \(-0.661770\pi\) |
−0.435951 | + | 0.899970i | \(0.643588\pi\) | |||||||
\(434\) | −2.23931 | + | 2.90399i | −0.107490 | + | 0.139396i | ||||
\(435\) | 1.11664 | + | 3.63739i | 0.0535388 | + | 0.174400i | ||||
\(436\) | 3.85963 | − | 6.40048i | 0.184843 | − | 0.306527i | ||||
\(437\) | −0.669088 | − | 0.818260i | −0.0320068 | − | 0.0391427i | ||||
\(438\) | −47.3688 | + | 36.5268i | −2.26337 | + | 1.74532i | ||||
\(439\) | −4.06438 | + | 28.2684i | −0.193982 | + | 1.34918i | 0.627355 | + | 0.778734i | \(0.284138\pi\) |
−0.821337 | + | 0.570443i | \(0.806771\pi\) | |||||||
\(440\) | −2.72595 | − | 7.24092i | −0.129955 | − | 0.345197i | ||||
\(441\) | 1.70317 | + | 11.8458i | 0.0811036 | + | 0.564088i | ||||
\(442\) | 3.93044 | + | 3.81976i | 0.186952 | + | 0.181687i | ||||
\(443\) | 37.9076 | − | 9.96415i | 1.80104 | − | 0.473411i | 0.807799 | − | 0.589458i | \(-0.200659\pi\) |
0.993244 | + | 0.116047i | \(0.0370222\pi\) | |||||||
\(444\) | 1.35990 | + | 4.18534i | 0.0645380 | + | 0.198628i | ||||
\(445\) | 14.6455 | + | 4.10603i | 0.694266 | + | 0.194644i | ||||
\(446\) | 4.74412 | − | 55.2348i | 0.224641 | − | 2.61544i | ||||
\(447\) | −13.2979 | − | 14.4890i | −0.628968 | − | 0.685306i | ||||
\(448\) | −4.71318 | + | 5.13535i | −0.222677 | + | 0.242623i | ||||
\(449\) | 0.225364 | + | 2.62386i | 0.0106356 | + | 0.123828i | 0.999724 | − | 0.0234957i | \(-0.00747961\pi\) |
−0.989088 | + | 0.147324i | \(0.952934\pi\) | |||||||
\(450\) | −11.7570 | + | 15.1198i | −0.554229 | + | 0.712754i | ||||
\(451\) | −11.0658 | − | 11.2713i | −0.521067 | − | 0.530747i | ||||
\(452\) | 5.95112 | − | 20.2676i | 0.279917 | − | 0.953310i | ||||
\(453\) | 35.6297 | + | 7.21952i | 1.67403 | + | 0.339202i | ||||
\(454\) | −25.5150 | + | 2.92757i | −1.19748 | + | 0.137398i | ||||
\(455\) | 5.66385 | − | 0.720303i | 0.265525 | − | 0.0337683i | ||||
\(456\) | 5.79517 | + | 3.27268i | 0.271384 | + | 0.153257i | ||||
\(457\) | 4.28055 | + | 5.89168i | 0.200236 | + | 0.275601i | 0.897313 | − | 0.441395i | \(-0.145516\pi\) |
−0.697077 | + | 0.716996i | \(0.745516\pi\) | |||||||
\(458\) | −2.68561 | − | 5.46226i | −0.125490 | − | 0.255235i | ||||
\(459\) | −0.919330 | + | 1.34448i | −0.0429106 | + | 0.0627548i | ||||
\(460\) | −1.65702 | + | 1.16310i | −0.0772589 | + | 0.0542298i | ||||
\(461\) | 15.8329 | + | 18.2721i | 0.737412 | + | 0.851018i | 0.993285 | − | 0.115692i | \(-0.0369085\pi\) |
−0.255873 | + | 0.966710i | \(0.582363\pi\) | |||||||
\(462\) | 9.17948 | + | 2.36309i | 0.427068 | + | 0.109941i | ||||
\(463\) | 13.7478 | + | 11.9125i | 0.638914 | + | 0.553622i | 0.912937 | − | 0.408101i | \(-0.133809\pi\) |
−0.274023 | + | 0.961723i | \(0.588354\pi\) | |||||||
\(464\) | 0.780870 | + | 2.00565i | 0.0362510 | + | 0.0931099i | ||||
\(465\) | −6.63470 | + | 12.0923i | −0.307677 | + | 0.560768i | ||||
\(466\) | −1.63701 | − | 1.33857i | −0.0758329 | − | 0.0620082i | ||||
\(467\) | 11.4010 | + | 31.9535i | 0.527575 | + | 1.47863i | 0.847297 | + | 0.531120i | \(0.178229\pi\) |
−0.319722 | + | 0.947511i | \(0.603589\pi\) | |||||||
\(468\) | 4.23565 | − | 18.2147i | 0.195793 | − | 0.841976i | ||||
\(469\) | −3.46220 | + | 0.599157i | −0.159869 | + | 0.0276665i | ||||
\(470\) | 2.09921 | − | 1.56484i | 0.0968295 | − | 0.0721805i | ||||
\(471\) | −43.4698 | + | 24.5485i | −2.00298 | + | 1.13114i | ||||
\(472\) | 0.139771 | + | 0.0638313i | 0.00643348 | + | 0.00293807i | ||||
\(473\) | 5.62954 | − | 4.38679i | 0.258847 | − | 0.201705i | ||||
\(474\) | 13.6437 | + | 29.8754i | 0.626674 | + | 1.37222i | ||||
\(475\) | −0.0588639 | + | 14.5478i | −0.00270086 | + | 0.667497i | ||||
\(476\) | −0.940649 | − | 0.162786i | −0.0431146 | − | 0.00746127i | ||||
\(477\) | −6.57573 | + | 15.5600i | −0.301082 | + | 0.712446i | ||||
\(478\) | −24.9383 | − | 9.70937i | −1.14065 | − | 0.444096i | ||||
\(479\) | −14.2725 | − | 27.0494i | −0.652128 | − | 1.23592i | −0.958794 | − | 0.284102i | \(-0.908305\pi\) |
0.306666 | − | 0.951817i | \(-0.400786\pi\) | |||||||
\(480\) | −21.6433 | + | 32.5002i | −0.987876 | + | 1.48342i | ||||
\(481\) | 1.03325 | − | 3.18002i | 0.0471122 | − | 0.144996i | ||||
\(482\) | −0.885497 | + | 15.4856i | −0.0403333 | + | 0.705349i | ||||
\(483\) | − | 0.489853i | − | 0.0222891i | ||||||
\(484\) | −16.5192 | + | 21.8785i | −0.750875 | + | 0.994476i | ||||
\(485\) | −5.18688 | − | 2.65608i | −0.235524 | − | 0.120606i | ||||
\(486\) | 35.1560 | + | 2.01029i | 1.59471 | + | 0.0911888i | ||||
\(487\) | −19.4122 | − | 6.30741i | −0.879651 | − | 0.285816i | −0.165838 | − | 0.986153i | \(-0.553033\pi\) |
−0.713812 | + | 0.700337i | \(0.753033\pi\) | |||||||
\(488\) | 0.982982 | − | 8.56709i | 0.0444975 | − | 0.387814i | ||||
\(489\) | 7.94323 | + | 15.0541i | 0.359205 | + | 0.680769i | ||||
\(490\) | 23.4638 | − | 20.8404i | 1.05999 | − | 0.941475i | ||||
\(491\) | 14.1178 | + | 5.96624i | 0.637128 | + | 0.269253i | 0.683813 | − | 0.729657i | \(-0.260320\pi\) |
−0.0466850 | + | 0.998910i | \(0.514866\pi\) | |||||||
\(492\) | 4.43766 | − | 25.6428i | 0.200065 | − | 1.15607i | ||||
\(493\) | −0.284121 | + | 0.391060i | −0.0127962 | + | 0.0176124i | ||||
\(494\) | −10.6360 | − | 23.2897i | −0.478538 | − | 1.04785i | ||||
\(495\) | 13.3405 | + | 1.29683i | 0.599613 | + | 0.0582880i | ||||
\(496\) | −3.24110 | + | 7.09702i | −0.145530 | + | 0.318666i | ||||
\(497\) | −3.43053 | − | 6.07468i | −0.153880 | − | 0.272487i | ||||
\(498\) | −33.8796 | + | 68.9077i | −1.51818 | + | 3.08783i | ||||
\(499\) | 34.1027 | − | 5.90170i | 1.52665 | − | 0.264196i | 0.655490 | − | 0.755204i | \(-0.272462\pi\) |
0.871155 | + | 0.491008i | \(0.163371\pi\) | |||||||
\(500\) | 27.7803 | + | 2.15644i | 1.24237 | + | 0.0964387i | ||||
\(501\) | 22.0266 | − | 7.85908i | 0.984077 | − | 0.351118i | ||||
\(502\) | 15.6840 | − | 19.1808i | 0.700013 | − | 0.856080i | ||||
\(503\) | −43.5163 | − | 1.24316i | −1.94029 | − | 0.0554297i | −0.963267 | − | 0.268545i | \(-0.913457\pi\) |
−0.977027 | + | 0.213115i | \(0.931639\pi\) | |||||||
\(504\) | 0.420705 | + | 1.08057i | 0.0187397 | + | 0.0481325i | ||||
\(505\) | 14.8118 | + | 36.7067i | 0.659118 | + | 1.63343i | ||||
\(506\) | 2.35728 | + | 0.982118i | 0.104794 | + | 0.0436605i | ||||
\(507\) | −7.02163 | + | 6.08428i | −0.311841 | + | 0.270212i | ||||
\(508\) | 10.5019 | + | 5.54126i | 0.465945 | + | 0.245854i | ||||
\(509\) | −2.42590 | + | 3.54777i | −0.107526 | + | 0.157252i | −0.875482 | − | 0.483251i | \(-0.839456\pi\) |
0.767956 | + | 0.640503i | \(0.221274\pi\) | |||||||
\(510\) | −6.47119 | − | 0.105510i | −0.286549 | − | 0.00467205i | ||||
\(511\) | −6.40428 | + | 4.65298i | −0.283309 | + | 0.205836i | ||||
\(512\) | −13.7066 | + | 24.2712i | −0.605750 | + | 1.07264i | ||||
\(513\) | 6.28071 | − | 4.29464i | 0.277300 | − | 0.189613i | ||||
\(514\) | −31.5873 | + | 3.62430i | −1.39326 | + | 0.159861i | ||||
\(515\) | −17.5412 | + | 21.9967i | −0.772957 | + | 0.969291i | ||||
\(516\) | 11.2822 | + | 3.31276i | 0.496672 | + | 0.145836i | ||||
\(517\) | −1.71081 | − | 0.656095i | −0.0752414 | − | 0.0288550i | ||||
\(518\) | 0.295752 | + | 1.00724i | 0.0129946 | + | 0.0442555i | ||||
\(519\) | 2.02889 | + | 23.6219i | 0.0890582 | + | 1.03689i | ||||
\(520\) | −9.08152 | + | 3.36632i | −0.398251 | + | 0.147623i | ||||
\(521\) | 9.42820 | − | 8.65313i | 0.413057 | − | 0.379100i | −0.442535 | − | 0.896751i | \(-0.645921\pi\) |
0.855592 | + | 0.517651i | \(0.173193\pi\) | |||||||
\(522\) | 2.96196 | + | 0.254403i | 0.129642 | + | 0.0111349i | ||||
\(523\) | −29.6340 | + | 6.00462i | −1.29580 | + | 0.262564i | −0.796909 | − | 0.604100i | \(-0.793533\pi\) |
−0.498894 | + | 0.866663i | \(0.666260\pi\) | |||||||
\(524\) | 0.124499 | + | 0.383168i | 0.00543875 | + | 0.0167388i | ||||
\(525\) | −4.28891 | + | 5.20203i | −0.187184 | + | 0.227035i | ||||
\(526\) | 33.5225 | − | 34.4938i | 1.46165 | − | 1.50400i | ||||
\(527\) | −1.73440 | + | 0.249370i | −0.0755518 | + | 0.0108627i | ||||
\(528\) | 20.1614 | + | 0.473515i | 0.877410 | + | 0.0206071i | ||||
\(529\) | −3.25446 | + | 22.6353i | −0.141498 | + | 0.984142i | ||||
\(530\) | 43.5524 | − | 8.08803i | 1.89179 | − | 0.351322i | ||||
\(531\) | −0.206069 | + | 0.168502i | −0.00894264 | + | 0.00731236i | ||||
\(532\) | 3.81893 | + | 2.30290i | 0.165571 | + | 0.0998432i | ||||
\(533\) | −14.1798 | + | 13.7805i | −0.614196 | + | 0.596900i | ||||
\(534\) | 19.3030 | − | 25.0325i | 0.835321 | − | 1.08326i | ||||
\(535\) | 5.68031 | − | 11.9200i | 0.245581 | − | 0.515345i | ||||
\(536\) | 5.49032 | − | 2.32023i | 0.237146 | − | 0.100219i | ||||
\(537\) | −5.70837 | − | 24.5479i | −0.246334 | − | 1.05932i | ||||
\(538\) | 31.3959 | + | 48.8529i | 1.35357 | + | 2.10620i | ||||
\(539\) | −21.1035 | − | 6.08031i | −0.908992 | − | 0.261898i | ||||
\(540\) | −7.32100 | − | 12.6006i | −0.315046 | − | 0.542243i | ||||
\(541\) | 20.0078 | + | 7.13879i | 0.860205 | + | 0.306920i | 0.729066 | − | 0.684444i | \(-0.239955\pi\) |
0.131139 | + | 0.991364i | \(0.458137\pi\) | |||||||
\(542\) | 36.6460 | − | 22.0984i | 1.57408 | − | 0.949207i | ||||
\(543\) | −48.0983 | − | 12.6428i | −2.06410 | − | 0.542556i | ||||
\(544\) | −4.95245 | + | 0.283191i | −0.212335 | + | 0.0121417i | ||||
\(545\) | 2.71077 | − | 6.13362i | 0.116117 | − | 0.262735i | ||||
\(546\) | 3.01647 | − | 11.4759i | 0.129093 | − | 0.491121i | ||||
\(547\) | −17.3832 | + | 10.4825i | −0.743253 | + | 0.448198i | −0.836864 | − | 0.547411i | \(-0.815614\pi\) |
0.0936109 | + | 0.995609i | \(0.470159\pi\) | |||||||
\(548\) | −2.30273 | + | 6.45386i | −0.0983678 | + | 0.275695i | ||||
\(549\) | 12.5673 | + | 8.07650i | 0.536358 | + | 0.344697i | ||||
\(550\) | −16.4344 | − | 31.0689i | −0.700763 | − | 1.32478i | ||||
\(551\) | 1.89962 | − | 1.22081i | 0.0809267 | − | 0.0520084i | ||||
\(552\) | 0.188212 | + | 0.809376i | 0.00801085 | + | 0.0344493i | ||||
\(553\) | 1.69196 | + | 4.00367i | 0.0719496 | + | 0.170253i | ||||
\(554\) | −1.09840 | − | 38.4492i | −0.0466667 | − | 1.63355i | ||||
\(555\) | 1.68413 | + | 3.57123i | 0.0714873 | + | 0.151590i | ||||
\(556\) | −32.7787 | − | 33.7285i | −1.39013 | − | 1.43041i | ||||
\(557\) | −1.77279 | − | 1.06903i | −0.0751155 | − | 0.0452963i | 0.478343 | − | 0.878173i | \(-0.341238\pi\) |
−0.553458 | + | 0.832877i | \(0.686692\pi\) | |||||||
\(558\) | 6.82175 | + | 8.34265i | 0.288788 | + | 0.353173i | ||||
\(559\) | −5.45560 | − | 7.07495i | −0.230747 | − | 0.299238i | ||||
\(560\) | −2.20367 | + | 3.11262i | −0.0931221 | + | 0.131532i | ||||
\(561\) | 2.35854 | + | 3.86666i | 0.0995775 | + | 0.163250i | ||||
\(562\) | −57.6408 | + | 8.28749i | −2.43143 | + | 0.349587i | ||||
\(563\) | 3.41829 | + | 3.32203i | 0.144064 | + | 0.140007i | 0.765445 | − | 0.643502i | \(-0.222519\pi\) |
−0.621381 | + | 0.783509i | \(0.713428\pi\) | |||||||
\(564\) | −0.767443 | − | 2.91966i | −0.0323152 | − | 0.122940i | ||||
\(565\) | 3.00264 | − | 18.7128i | 0.126322 | − | 0.787254i | ||||
\(566\) | 7.08834 | + | 34.9823i | 0.297945 | + | 1.47042i | ||||
\(567\) | 6.83548 | + | 0.587100i | 0.287063 | + | 0.0246559i | ||||
\(568\) | 8.00223 | + | 8.71900i | 0.335766 | + | 0.365841i | ||||
\(569\) | −6.06725 | − | 5.56847i | −0.254352 | − | 0.233442i | 0.538848 | − | 0.842403i | \(-0.318860\pi\) |
−0.793201 | + | 0.608960i | \(0.791587\pi\) | |||||||
\(570\) | 27.9915 | + | 11.4270i | 1.17243 | + | 0.478625i | ||||
\(571\) | −10.4784 | + | 3.07674i | −0.438509 | + | 0.128758i | −0.493533 | − | 0.869727i | \(-0.664295\pi\) |
0.0550240 | + | 0.998485i | \(0.482476\pi\) | |||||||
\(572\) | 27.2825 | + | 20.8179i | 1.14074 | + | 0.870439i | ||||
\(573\) | 1.27043 | − | 4.32668i | 0.0530728 | − | 0.180750i | ||||
\(574\) | 1.23281 | − | 6.08417i | 0.0514566 | − | 0.253948i | ||||
\(575\) | −1.34317 | + | 1.22278i | −0.0560143 | + | 0.0509934i | ||||
\(576\) | 11.5621 | + | 16.9090i | 0.481754 | + | 0.704543i | ||||
\(577\) | −7.82907 | + | 13.8635i | −0.325928 | + | 0.577145i | −0.984502 | − | 0.175372i | \(-0.943887\pi\) |
0.658574 | + | 0.752516i | \(0.271160\pi\) | |||||||
\(578\) | 20.6954 | + | 28.4847i | 0.860814 | + | 1.18481i | ||||
\(579\) | 30.8223 | − | 15.1543i | 1.28093 | − | 0.629791i | ||||
\(580\) | −2.06505 | − | 3.80012i | −0.0857466 | − | 0.157791i | ||||
\(581\) | −4.74221 | + | 8.98749i | −0.196740 | + | 0.372864i | ||||
\(582\) | −9.15271 | + | 7.93086i | −0.379392 | + | 0.328745i | ||||
\(583\) | −21.0768 | − | 22.7319i | −0.872912 | − | 0.941459i | ||||
\(584\) | 8.79390 | − | 10.1487i | 0.363894 | − | 0.419956i | ||||
\(585\) | 1.70817 | − | 16.6914i | 0.0706241 | − | 0.690106i | ||||
\(586\) | −0.807888 | + | 28.2798i | −0.0333735 | + | 1.16823i | ||||
\(587\) | 26.9522 | − | 32.9611i | 1.11244 | − | 1.36045i | 0.186639 | − | 0.982429i | \(-0.440241\pi\) |
0.925796 | − | 0.378023i | \(-0.123396\pi\) | |||||||
\(588\) | −12.1595 | − | 34.0794i | −0.501450 | − | 1.40541i | ||||
\(589\) | 7.97283 | + | 1.85400i | 0.328515 | + | 0.0763929i | ||||
\(590\) | 0.666459 | + | 0.207550i | 0.0274377 | + | 0.00854470i | ||||
\(591\) | −30.7260 | − | 15.1070i | −1.26390 | − | 0.621418i | ||||
\(592\) | 1.09827 | + | 1.94478i | 0.0451384 | + | 0.0799298i | ||||
\(593\) | −10.9224 | − | 4.98808i | −0.448528 | − | 0.204836i | 0.178328 | − | 0.983971i | \(-0.442931\pi\) |
−0.626856 | + | 0.779135i | \(0.715659\pi\) | |||||||
\(594\) | −8.49582 | + | 16.3014i | −0.348588 | + | 0.668854i | ||||
\(595\) | −0.855650 | − | 0.0384128i | −0.0350782 | − | 0.00157477i | ||||
\(596\) | 18.0849 | + | 13.1395i | 0.740788 | + | 0.538214i | ||||
\(597\) | 10.0343 | − | 57.9827i | 0.410676 | − | 2.37307i | ||||
\(598\) | 1.24440 | − | 2.94460i | 0.0508873 | − | 0.120414i | ||||
\(599\) | −0.518020 | + | 1.33052i | −0.0211657 | + | 0.0543637i | −0.942050 | − | 0.335471i | \(-0.891104\pi\) |
0.920885 | + | 0.389835i | \(0.127468\pi\) | |||||||
\(600\) | 5.08776 | − | 10.2431i | 0.207707 | − | 0.418173i | ||||
\(601\) | −12.2193 | − | 1.40203i | −0.498435 | − | 0.0571901i | −0.138871 | − | 0.990310i | \(-0.544347\pi\) |
−0.359564 | + | 0.933120i | \(0.617075\pi\) | |||||||
\(602\) | 2.66763 | + | 0.866765i | 0.108724 | + | 0.0353267i | ||||
\(603\) | −0.589484 | + | 10.3089i | −0.0240056 | + | 0.419810i | ||||
\(604\) | −41.3224 | −1.68138 | ||||||||
\(605\) | −12.2265 | + | 21.3428i | −0.497076 | + | 0.867707i | ||||
\(606\) | 82.2621 | 3.34167 | ||||||||
\(607\) | 0.306891 | − | 5.36691i | 0.0124563 | − | 0.217836i | −0.986182 | − | 0.165666i | \(-0.947023\pi\) |
0.998638 | − | 0.0521701i | \(-0.0166138\pi\) | |||||||
\(608\) | 22.0389 | + | 7.16089i | 0.893797 | + | 0.290412i | ||||
\(609\) | 1.03967 | + | 0.119291i | 0.0421296 | + | 0.00483392i | ||||
\(610\) | −0.480135 | − | 39.1708i | −0.0194401 | − | 1.58598i | ||||
\(611\) | −0.832175 | + | 2.13742i | −0.0336662 | + | 0.0864709i | ||||
\(612\) | −1.09206 | + | 2.58413i | −0.0441440 | + | 0.104457i | ||||
\(613\) | −2.10460 | + | 12.1613i | −0.0850041 | + | 0.491192i | 0.911754 | + | 0.410736i | \(0.134728\pi\) |
−0.996758 | + | 0.0804553i | \(0.974363\pi\) | |||||||
\(614\) | −8.38183 | − | 6.08976i | −0.338263 | − | 0.245763i | ||||
\(615\) | 1.04716 | − | 23.3256i | 0.0422256 | − | 0.940580i | ||||
\(616\) | −2.12508 | − | 0.110693i | −0.0856218 | − | 0.00445995i | ||||
\(617\) | −35.8189 | − | 16.3580i | −1.44202 | − | 0.658547i | −0.467732 | − | 0.883870i | \(-0.654929\pi\) |
−0.974284 | + | 0.225324i | \(0.927656\pi\) | |||||||
\(618\) | 28.7518 | + | 50.9128i | 1.15657 | + | 2.04801i | ||||
\(619\) | −28.2675 | − | 13.8982i | −1.13617 | − | 0.558617i | −0.226525 | − | 0.974005i | \(-0.572736\pi\) |
−0.909644 | + | 0.415389i | \(0.863646\pi\) | |||||||
\(620\) | 4.66165 | − | 14.9689i | 0.187216 | − | 0.601167i | ||||
\(621\) | 0.925299 | + | 0.215169i | 0.0371310 | + | 0.00863443i | ||||
\(622\) | 10.6691 | + | 29.9022i | 0.427791 | + | 1.19897i | ||||
\(623\) | 2.64812 | − | 3.23851i | 0.106095 | − | 0.129748i | ||||
\(624\) | 0.720905 | − | 25.2350i | 0.0288593 | − | 1.01021i | ||||
\(625\) | 24.9700 | − | 1.22519i | 0.998798 | − | 0.0490078i | ||||
\(626\) | 2.69915 | − | 3.11498i | 0.107880 | − | 0.124500i | ||||
\(627\) | −3.71375 | − | 20.8297i | −0.148313 | − | 0.831857i | ||||
\(628\) | 42.8854 | − | 37.1604i | 1.71131 | − | 1.48286i | ||||
\(629\) | −0.234082 | + | 0.443635i | −0.00933347 | + | 0.0176889i | ||||
\(630\) | 2.51520 | + | 4.62848i | 0.100208 | + | 0.184403i | ||||
\(631\) | 13.6836 | − | 6.72777i | 0.544735 | − | 0.267828i | −0.148040 | − | 0.988981i | \(-0.547297\pi\) |
0.692776 | + | 0.721153i | \(0.256387\pi\) | |||||||
\(632\) | −4.33390 | − | 5.96510i | −0.172393 | − | 0.237279i | ||||
\(633\) | 7.05948 | − | 12.5007i | 0.280589 | − | 0.496859i | ||||
\(634\) | −15.4213 | − | 22.5529i | −0.612458 | − | 0.895691i | ||||
\(635\) | 9.97440 | + | 3.74326i | 0.395822 | + | 0.148547i | ||||
\(636\) | 10.1427 | − | 50.0564i | 0.402186 | − | 1.98487i | ||||
\(637\) | −7.74549 | + | 26.3787i | −0.306887 | + | 1.04516i | ||||
\(638\) | −2.65851 | + | 4.76395i | −0.105251 | + | 0.188607i | ||||
\(639\) | −19.6714 | + | 5.77603i | −0.778187 | + | 0.228496i | ||||
\(640\) | 6.83987 | − | 16.7549i | 0.270370 | − | 0.662295i | ||||
\(641\) | 2.16270 | + | 1.98491i | 0.0854217 | + | 0.0783993i | 0.717749 | − | 0.696302i | \(-0.245173\pi\) |
−0.632327 | + | 0.774702i | \(0.717900\pi\) | |||||||
\(642\) | −18.5553 | − | 20.2174i | −0.732320 | − | 0.797916i | ||||
\(643\) | −33.0834 | − | 2.84154i | −1.30468 | − | 0.112059i | −0.587659 | − | 0.809108i | \(-0.699950\pi\) |
−0.717023 | + | 0.697049i | \(0.754496\pi\) | |||||||
\(644\) | 0.110576 | + | 0.545713i | 0.00435730 | + | 0.0215041i | ||||
\(645\) | 10.4167 | + | 1.67146i | 0.410158 | + | 0.0658135i | ||||
\(646\) | 0.976432 | + | 3.71473i | 0.0384172 | + | 0.146154i | ||||
\(647\) | 28.4195 | + | 27.6193i | 1.11729 | + | 1.08582i | 0.995643 | + | 0.0932511i | \(0.0297259\pi\) |
0.121645 | + | 0.992574i | \(0.461183\pi\) | |||||||
\(648\) | −11.5197 | + | 1.65628i | −0.452537 | + | 0.0650650i | ||||
\(649\) | −0.126580 | − | 0.471803i | −0.00496871 | − | 0.0185199i | ||||
\(650\) | −38.9965 | + | 20.3750i | −1.52957 | + | 0.799175i | ||||
\(651\) | 2.31651 | + | 3.00411i | 0.0907912 | + | 0.117740i | ||||
\(652\) | −12.2472 | − | 14.9777i | −0.479638 | − | 0.586573i | ||||
\(653\) | 2.89721 | + | 1.74708i | 0.113377 | + | 0.0683686i | 0.571953 | − | 0.820286i | \(-0.306186\pi\) |
−0.458576 | + | 0.888655i | \(0.651640\pi\) | |||||||
\(654\) | −9.71294 | − | 9.99438i | −0.379806 | − | 0.390811i | ||||
\(655\) | 0.154182 | + | 0.326946i | 0.00602438 | + | 0.0127748i | ||||
\(656\) | −0.377159 | − | 13.2023i | −0.0147256 | − | 0.515462i | ||||
\(657\) | 9.05575 | + | 21.4285i | 0.353299 | + | 0.836005i | ||||
\(658\) | −0.163105 | − | 0.701406i | −0.00635849 | − | 0.0273437i | ||||
\(659\) | 17.0668 | − | 10.9682i | 0.664829 | − | 0.427260i | −0.164229 | − | 0.986422i | \(-0.552514\pi\) |
0.829058 | + | 0.559162i | \(0.188877\pi\) | |||||||
\(660\) | −40.3099 | + | 4.16726i | −1.56906 | + | 0.162210i | ||||
\(661\) | 3.68775 | + | 2.36997i | 0.143437 | + | 0.0921812i | 0.610391 | − | 0.792100i | \(-0.291012\pi\) |
−0.466954 | + | 0.884281i | \(0.654649\pi\) | |||||||
\(662\) | 19.7567 | − | 55.3719i | 0.767865 | − | 2.15209i | ||||
\(663\) | 4.85527 | − | 2.92784i | 0.188563 | − | 0.113708i | ||||
\(664\) | 4.38228 | − | 16.6719i | 0.170066 | − | 0.646997i | ||||
\(665\) | 3.65970 | + | 1.61742i | 0.141917 | + | 0.0627208i | ||||
\(666\) | 3.07994 | − | 0.176117i | 0.119345 | − | 0.00682441i | ||||
\(667\) | 0.272674 | + | 0.0716735i | 0.0105580 | + | 0.00277521i | ||||
\(668\) | −22.7643 | + | 13.7274i | −0.880779 | + | 0.531129i | ||||
\(669\) | −54.0143 | − | 19.2723i | −2.08831 | − | 0.745108i | ||||
\(670\) | 23.4123 | − | 13.6027i | 0.904496 | − | 0.525517i | ||||
\(671\) | −22.9868 | + | 14.9382i | −0.887394 | + | 0.576682i | ||||
\(672\) | 5.80615 | + | 9.03455i | 0.223977 | + | 0.348515i | ||||
\(673\) | 11.1293 | + | 47.8597i | 0.429003 | + | 1.84486i | 0.527272 | + | 0.849697i | \(0.323215\pi\) |
−0.0982690 | + | 0.995160i | \(0.531331\pi\) | |||||||
\(674\) | 70.2994 | − | 29.7088i | 2.70783 | − | 1.14434i | ||||
\(675\) | −7.94235 | − | 10.3865i | −0.305701 | − | 0.399775i | ||||
\(676\) | 6.44891 | − | 8.36310i | 0.248035 | − | 0.321658i | ||||
\(677\) | 4.28565 | − | 4.16497i | 0.164711 | − | 0.160073i | −0.609971 | − | 0.792424i | \(-0.708819\pi\) |
0.774682 | + | 0.632351i | \(0.217910\pi\) | |||||||
\(678\) | −33.7293 | − | 20.3395i | −1.29537 | − | 0.781134i | ||||
\(679\) | −1.24075 | + | 1.01455i | −0.0476155 | + | 0.0389350i | ||||
\(680\) | 1.42853 | − | 0.265290i | 0.0547818 | − | 0.0101734i | ||||
\(681\) | −3.78100 | + | 26.2974i | −0.144888 | + | 1.00772i | ||||
\(682\) | −19.1008 | + | 5.12457i | −0.731409 | + | 0.196230i | ||||
\(683\) | −10.1954 | + | 1.46588i | −0.390118 | + | 0.0560905i | −0.334583 | − | 0.942366i | \(-0.608595\pi\) |
−0.0555348 | + | 0.998457i | \(0.517686\pi\) | |||||||
\(684\) | 9.13367 | − | 9.39832i | 0.349234 | − | 0.359354i | ||||
\(685\) | −1.31902 | + | 6.00490i | −0.0503970 | + | 0.229436i | ||||
\(686\) | −5.48682 | − | 16.8867i | −0.209488 | − | 0.644737i | ||||
\(687\) | −6.17121 | + | 1.25045i | −0.235446 | + | 0.0477076i | ||||
\(688\) | 5.94580 | + | 0.510685i | 0.226682 | + | 0.0194697i | ||||
\(689\) | −28.5898 | + | 26.2394i | −1.08918 | + | 0.999643i | ||||
\(690\) | 1.31204 | + | 3.53958i | 0.0499486 | + | 0.134749i | ||||
\(691\) | −1.25597 | − | 14.6230i | −0.0477792 | − | 0.556284i | −0.980610 | − | 0.195969i | \(-0.937215\pi\) |
0.932831 | − | 0.360315i | \(-0.117331\pi\) | |||||||
\(692\) | −7.59247 | − | 25.8576i | −0.288622 | − | 0.982958i | ||||
\(693\) | 1.79641 | − | 3.21910i | 0.0682399 | − | 0.122283i | ||||
\(694\) | 25.4095 | + | 7.46091i | 0.964533 | + | 0.283212i | ||||
\(695\) | −32.9925 | − | 26.3097i | −1.25148 | − | 0.997985i | ||||
\(696\) | −1.76366 | + | 0.202361i | −0.0668514 | + | 0.00767049i | ||||
\(697\) | 2.44856 | − | 1.67428i | 0.0927459 | − | 0.0634180i | ||||
\(698\) | 10.9655 | − | 19.4174i | 0.415050 | − | 0.734959i | ||||
\(699\) | −1.76974 | + | 1.28579i | −0.0669375 | + | 0.0486330i | ||||
\(700\) | 3.60373 | − | 6.76338i | 0.136208 | − | 0.255632i | ||||
\(701\) | 1.91073 | − | 2.79435i | 0.0721673 | − | 0.105541i | −0.787700 | − | 0.616059i | \(-0.788728\pi\) |
0.859867 | + | 0.510518i | \(0.170546\pi\) | |||||||
\(702\) | 20.3521 | + | 10.7387i | 0.768140 | + | 0.405306i | ||||
\(703\) | 1.77090 | − | 1.53449i | 0.0667908 | − | 0.0578745i | ||||
\(704\) | −37.0069 | + | 6.59802i | −1.39475 | + | 0.248672i | ||||
\(705\) | −1.01355 | − | 2.51177i | −0.0381723 | − | 0.0945987i | ||||
\(706\) | 21.7506 | + | 55.8660i | 0.818595 | + | 2.10255i | ||||
\(707\) | 10.8821 | + | 0.310877i | 0.409265 | + | 0.0116918i | ||||
\(708\) | 0.509458 | − | 0.623041i | 0.0191466 | − | 0.0234153i | ||||
\(709\) | 25.7803 | − | 9.19841i | 0.968201 | − | 0.345453i | 0.195839 | − | 0.980636i | \(-0.437257\pi\) |
0.772362 | + | 0.635183i | \(0.219075\pi\) | |||||||
\(710\) | 41.0589 | + | 34.7059i | 1.54091 | + | 1.30249i | ||||
\(711\) | 12.5862 | − | 2.17812i | 0.472018 | − | 0.0816859i | ||||
\(712\) | −3.13113 | + | 6.36839i | −0.117344 | + | 0.238666i | ||||
\(713\) | 0.502562 | + | 0.889921i | 0.0188211 | + | 0.0333278i | ||||
\(714\) | −0.739456 | + | 1.61918i | −0.0276735 | + | 0.0605964i | ||||
\(715\) | 26.6392 | + | 15.4408i | 0.996248 | + | 0.577451i | ||||
\(716\) | 11.9006 | + | 26.0586i | 0.444745 | + | 0.973857i | ||||
\(717\) | −16.2725 | + | 22.3972i | −0.607707 | + | 0.836438i | ||||
\(718\) | −7.24683 | + | 41.8754i | −0.270449 | + | 1.56278i | ||||
\(719\) | −3.72639 | − | 1.57479i | −0.138971 | − | 0.0587297i | 0.318675 | − | 0.947864i | \(-0.396762\pi\) |
−0.457646 | + | 0.889134i | \(0.651307\pi\) | |||||||
\(720\) | 7.44266 | + | 8.37952i | 0.277371 | + | 0.312286i | ||||
\(721\) | 3.61106 | + | 6.84372i | 0.134483 | + | 0.254873i | ||||
\(722\) | −2.54514 | + | 22.1819i | −0.0947202 | + | 0.825525i | ||||
\(723\) | 15.2603 | + | 4.95837i | 0.567537 | + | 0.184404i | ||||
\(724\) | 56.4370 | + | 3.22719i | 2.09747 | + | 0.119937i | ||||
\(725\) | −2.26814 | − | 3.14854i | −0.0842367 | − | 0.116934i | ||||
\(726\) | 31.6247 | + | 40.1614i | 1.17370 | + | 1.49053i | ||||
\(727\) | 36.6308i | 1.35856i | 0.733879 | + | 0.679280i | \(0.237708\pi\) | ||||
−0.733879 | + | 0.679280i | \(0.762292\pi\) | |||||||
\(728\) | −0.152074 | + | 2.65947i | −0.00563624 | + | 0.0985665i | ||||
\(729\) | 0.914942 | − | 2.81590i | 0.0338868 | − | 0.104293i | ||||
\(730\) | 33.8132 | − | 50.7749i | 1.25148 | − | 1.87926i | ||||
\(731\) | 0.625456 | + | 1.18537i | 0.0231333 | + | 0.0438425i | ||||
\(732\) | −42.0892 | − | 16.3868i | −1.55566 | − | 0.605675i | ||||
\(733\) | −11.4928 | + | 27.1953i | −0.424497 | + | 1.00448i | 0.559906 | + | 0.828556i | \(0.310837\pi\) |
−0.984403 | + | 0.175926i | \(0.943708\pi\) | |||||||
\(734\) | 48.3705 | + | 8.37085i | 1.78539 | + | 0.308974i | ||||
\(735\) | −14.6801 | − | 28.9560i | −0.541484 | − | 1.06806i | ||||
\(736\) | 1.20193 | + | 2.63185i | 0.0443036 | + | 0.0970114i | ||||
\(737\) | −16.8037 | − | 8.75759i | −0.618971 | − | 0.322590i | ||||
\(738\) | −16.5945 | − | 7.57847i | −0.610853 | − | 0.278967i | ||||
\(739\) | 24.4727 | − | 13.8204i | 0.900244 | − | 0.508391i | 0.0291872 | − | 0.999574i | \(-0.490708\pi\) |
0.871056 | + | 0.491183i | \(0.163435\pi\) | |||||||
\(740\) | −2.68232 | − | 3.59831i | −0.0986040 | − | 0.132276i | ||||
\(741\) | −26.0982 | + | 4.51647i | −0.958741 | + | 0.165917i | ||||
\(742\) | 2.75946 | − | 11.8666i | 0.101303 | − | 0.435637i | ||||
\(743\) | 2.86329 | + | 8.02494i | 0.105044 | + | 0.294407i | 0.982792 | − | 0.184716i | \(-0.0591366\pi\) |
−0.877748 | + | 0.479123i | \(0.840955\pi\) | |||||||
\(744\) | −4.98177 | − | 4.07358i | −0.182641 | − | 0.149345i | ||||
\(745\) | 17.5838 | + | 9.64769i | 0.644219 | + | 0.353464i | ||||
\(746\) | 17.0316 | + | 43.7452i | 0.623569 | + | 1.60163i | ||||
\(747\) | 22.5690 | + | 19.5562i | 0.825757 | + | 0.715522i | ||||
\(748\) | −3.50032 | − | 3.77519i | −0.127984 | − | 0.138035i | ||||
\(749\) | −2.37821 | − | 2.74460i | −0.0868979 | − | 0.100285i | ||||
\(750\) | 17.0575 | − | 49.0763i | 0.622851 | − | 1.79201i | ||||
\(751\) | 27.6362 | − | 40.4167i | 1.00846 | − | 1.47483i | 0.133251 | − | 0.991082i | \(-0.457458\pi\) |
0.875210 | − | 0.483744i | \(-0.160723\pi\) | |||||||
\(752\) | −0.676004 | − | 1.37492i | −0.0246513 | − | 0.0501383i | ||||
\(753\) | −15.0655 | − | 20.7359i | −0.549019 | − | 0.755660i | ||||
\(754\) | 5.94662 | + | 3.35821i | 0.216563 | + | 0.122299i | ||||
\(755\) | −36.7790 | + | 4.67739i | −1.33852 | + | 0.170228i | ||||
\(756\) | −3.98196 | + | 0.456887i | −0.144822 | + | 0.0166168i | ||||
\(757\) | −25.1834 | − | 5.10281i | −0.915306 | − | 0.185465i | −0.282043 | − | 0.959402i | \(-0.591012\pi\) |
−0.633263 | + | 0.773937i | \(0.718285\pi\) | |||||||
\(758\) | 4.14916 | − | 14.1308i | 0.150704 | − | 0.513252i | ||||
\(759\) | 1.60253 | − | 2.10016i | 0.0581680 | − | 0.0762310i | ||||
\(760\) | −6.66831 | − | 1.26629i | −0.241885 | − | 0.0459333i | ||||
\(761\) | 2.55936 | + | 29.7980i | 0.0927766 | + | 1.08018i | 0.883634 | + | 0.468178i | \(0.155089\pi\) |
−0.790858 | + | 0.612000i | \(0.790365\pi\) | |||||||
\(762\) | 14.9712 | − | 16.3121i | 0.542348 | − | 0.590927i | ||||
\(763\) | −1.24712 | − | 1.35882i | −0.0451487 | − | 0.0491927i | ||||
\(764\) | −0.438627 | + | 5.10684i | −0.0158690 | + | 0.184759i | ||||
\(765\) | −0.679484 | + | 2.42361i | −0.0245668 | + | 0.0876259i | ||||
\(766\) | 3.30361 | + | 10.1675i | 0.119364 | + | 0.367365i | ||||
\(767\) | −0.591408 | + | 0.155454i | −0.0213545 | + | 0.00561312i | ||||
\(768\) | 8.67031 | + | 8.42616i | 0.312863 | + | 0.304053i | ||||
\(769\) | 4.10233 | + | 28.5323i | 0.147934 | + | 1.02890i | 0.919595 | + | 0.392868i | \(0.128517\pi\) |
−0.771661 | + | 0.636034i | \(0.780574\pi\) | |||||||
\(770\) | −9.64008 | + | 0.719079i | −0.347404 | + | 0.0259138i | ||||
\(771\) | −4.68083 | + | 32.5559i | −0.168576 | + | 1.17247i | ||||
\(772\) | −30.9162 | + | 23.8400i | −1.11270 | + | 0.858019i | ||||
\(773\) | 20.1480 | + | 24.6400i | 0.724673 | + | 0.886238i | 0.997113 | − | 0.0759351i | \(-0.0241942\pi\) |
−0.272440 | + | 0.962173i | \(0.587831\pi\) | |||||||
\(774\) | 4.25661 | − | 7.05880i | 0.153001 | − | 0.253723i | ||||
\(775\) | 2.45473 | − | 13.8507i | 0.0881764 | − | 0.497533i | ||||
\(776\) | 1.66025 | − | 2.15305i | 0.0595995 | − | 0.0772901i | ||||
\(777\) | 1.08551 | − | 0.0310105i | 0.0389425 | − | 0.00111250i | ||||
\(778\) | 21.6296 | + | 51.1818i | 0.775459 | + | 1.83496i | ||||
\(779\) | −13.4967 | + | 3.13853i | −0.483570 | + | 0.112449i | ||||
\(780\) | 4.96034 | + | 50.4864i | 0.177609 | + | 1.80770i | ||||
\(781\) | 5.16515 | − | 37.2669i | 0.184824 | − | 1.33351i | ||||
\(782\) | −0.259272 | + | 0.403435i | −0.00927154 | + | 0.0144268i | ||||
\(783\) | −0.682009 | + | 1.91146i | −0.0243730 | + | 0.0683102i | ||||
\(784\) | −9.48310 | − | 15.7260i | −0.338682 | − | 0.561641i | ||||
\(785\) | 33.9638 | − | 37.9289i | 1.21222 | − | 1.35374i | ||||
\(786\) | 0.750013 | − | 0.0428873i | 0.0267521 | − | 0.00152974i | ||||
\(787\) | −1.02235 | − | 17.8789i | −0.0364429 | − | 0.637314i | −0.964371 | − | 0.264554i | \(-0.914775\pi\) |
0.927928 | − | 0.372760i | \(-0.121588\pi\) | |||||||
\(788\) | 37.6400 | + | 9.89382i | 1.34087 | + | 0.352453i | ||||
\(789\) | −25.6949 | − | 42.6102i | −0.914763 | − | 1.51696i | ||||
\(790\) | −22.9493 | − | 24.3978i | −0.816501 | − | 0.868036i | ||||
\(791\) | −4.38505 | − | 2.81810i | −0.155915 | − | 0.100200i | ||||
\(792\) | −1.73133 | + | 6.00907i | −0.0615200 | + | 0.213523i | ||||
\(793\) | 18.5535 | + | 28.8698i | 0.658854 | + | 1.02520i | ||||
\(794\) | −57.3775 | + | 13.3426i | −2.03625 | + | 0.473510i | ||||
\(795\) | 3.36153 | − | 45.7007i | 0.119221 | − | 1.62084i | ||||
\(796\) | 1.91003 | + | 66.8597i | 0.0676992 | + | 2.36978i | ||||
\(797\) | −36.6955 | − | 28.2965i | −1.29982 | − | 1.00231i | −0.998814 | − | 0.0486900i | \(-0.984495\pi\) |
−0.301007 | − | 0.953622i | \(-0.597323\pi\) | |||||||
\(798\) | 5.96327 | − | 5.79535i | 0.211097 | − | 0.205153i | ||||
\(799\) | 0.177689 | − | 0.294664i | 0.00628617 | − | 0.0104244i | ||||
\(800\) | 10.2793 | − | 38.4726i | 0.363427 | − | 1.36021i | ||||
\(801\) | −7.50717 | − | 9.73547i | −0.265253 | − | 0.343986i | ||||
\(802\) | 13.1805 | + | 1.89507i | 0.465420 | + | 0.0669173i | ||||
\(803\) | −42.6791 | − | 1.00237i | −1.50611 | − | 0.0353730i | ||||
\(804\) | −4.44299 | − | 30.9016i | −0.156692 | − | 1.08982i | ||||
\(805\) | 0.160189 | + | 0.473195i | 0.00564591 | + | 0.0166779i | ||||
\(806\) | 6.29351 | + | 23.9430i | 0.221680 | + | 0.843357i | ||||
\(807\) | 57.1335 | − | 18.5638i | 2.01119 | − | 0.653476i | ||||
\(808\) | −18.0998 | + | 3.66749i | −0.636749 | + | 0.129022i | ||||
\(809\) | −2.93007 | + | 34.1141i | −0.103016 | + | 1.19939i | 0.744132 | + | 0.668032i | \(0.232863\pi\) |
−0.847148 | + | 0.531357i | \(0.821682\pi\) | |||||||
\(810\) | −50.9642 | + | 14.0662i | −1.79070 | + | 0.494234i | ||||
\(811\) | 26.2471 | + | 24.0894i | 0.921661 | + | 0.845893i | 0.988399 | − | 0.151878i | \(-0.0485320\pi\) |
−0.0667382 | + | 0.997771i | \(0.521259\pi\) | |||||||
\(812\) | −1.18516 | + | 0.101793i | −0.0415908 | + | 0.00357224i | ||||
\(813\) | −12.4719 | − | 42.4755i | −0.437410 | − | 1.48968i | ||||
\(814\) | −2.02713 | + | 5.28589i | −0.0710510 | + | 0.185270i | ||||
\(815\) | −12.5960 | − | 11.9446i | −0.441218 | − | 0.418401i | ||||
\(816\) | −0.752101 | + | 3.71176i | −0.0263288 | + | 0.129938i | ||||
\(817\) | −0.713702 | − | 6.22020i | −0.0249693 | − | 0.217617i | ||||
\(818\) | −62.4846 | + | 42.7259i | −2.18472 | + | 1.49388i | ||||
\(819\) | −4.01825 | − | 2.26921i | −0.140409 | − | 0.0792925i | ||||
\(820\) | 4.09878 | + | 26.2219i | 0.143136 | + | 0.915709i | ||||
\(821\) | 12.1614 | − | 5.97938i | 0.424437 | − | 0.208682i | −0.216488 | − | 0.976285i | \(-0.569460\pi\) |
0.640925 | + | 0.767604i | \(0.278551\pi\) | |||||||
\(822\) | 10.5472 | + | 7.21200i | 0.367876 | + | 0.251547i | ||||
\(823\) | −3.97158 | − | 2.09559i | −0.138440 | − | 0.0730475i | 0.396016 | − | 0.918244i | \(-0.370393\pi\) |
−0.534456 | + | 0.845196i | \(0.679484\pi\) | |||||||
\(824\) | −8.59599 | − | 9.92030i | −0.299456 | − | 0.345590i | ||||
\(825\) | −35.4061 | + | 8.27184i | −1.23268 | + | 0.287989i | ||||
\(826\) | 0.125722 | − | 0.145091i | 0.00437443 | − | 0.00504836i | ||||
\(827\) | 43.1147 | − | 16.7861i | 1.49925 | − | 0.583709i | 0.534099 | − | 0.845422i | \(-0.320651\pi\) |
0.965146 | + | 0.261712i | \(0.0842871\pi\) | |||||||
\(828\) | 1.63563 | + | 0.0467262i | 0.0568421 | + | 0.00162385i | ||||
\(829\) | −23.5417 | − | 19.2500i | −0.817639 | − | 0.668580i | 0.128726 | − | 0.991680i | \(-0.458911\pi\) |
−0.946365 | + | 0.323100i | \(0.895275\pi\) | |||||||
\(830\) | 10.1938 | − | 77.6435i | 0.353831 | − | 2.69504i | ||||
\(831\) | −38.7569 | − | 9.01253i | −1.34446 | − | 0.312641i | ||||
\(832\) | 8.02416 | + | 46.3672i | 0.278188 | + | 1.60749i | ||||
\(833\) | 1.81972 | − | 3.70113i | 0.0630497 | − | 0.128237i | ||||
\(834\) | −76.3633 | + | 43.1243i | −2.64425 | + | 1.49327i | ||||
\(835\) | −18.7075 | + | 14.7948i | −0.647401 | + | 0.511996i | ||||
\(836\) | 8.83918 | + | 22.3666i | 0.305709 | + | 0.773566i | ||||
\(837\) | −6.69207 | + | 3.05617i | −0.231312 | + | 0.105637i | ||||
\(838\) | 27.5924 | − | 37.9776i | 0.953163 | − | 1.31192i | ||||
\(839\) | −33.5836 | − | 5.81187i | −1.15944 | − | 0.200648i | −0.441830 | − | 0.897099i | \(-0.645671\pi\) |
−0.717605 | + | 0.696450i | \(0.754762\pi\) | |||||||
\(840\) | −2.02090 | − | 2.41055i | −0.0697277 | − | 0.0831719i | ||||
\(841\) | 10.3029 | − | 26.4628i | 0.355272 | − | 0.912510i | ||||
\(842\) | −21.0123 | + | 11.0871i | −0.724133 | + | 0.382086i | ||||
\(843\) | −6.86698 | + | 59.8485i | −0.236511 | + | 2.06129i | ||||
\(844\) | −5.04268 | + | 15.5198i | −0.173576 | + | 0.534212i | ||||
\(845\) | 4.79321 | − | 8.17354i | 0.164891 | − | 0.281178i | ||||
\(846\) | −2.11625 | −0.0727580 | ||||||||
\(847\) | 4.03173 | + | 5.43231i | 0.138532 | + | 0.186657i | ||||
\(848\) | − | 25.9209i | − | 0.890128i | ||||||
\(849\) | 36.8636 | + | 2.10794i | 1.26516 | + | 0.0723442i | ||||
\(850\) | 6.28563 | − | 2.01424i | 0.215595 | − | 0.0690880i | ||||
\(851\) | 0.290661 | + | 0.0333503i | 0.00996375 | + | 0.00114323i | ||||
\(852\) | 54.8229 | − | 28.9271i | 1.87820 | − | 0.991025i | ||||
\(853\) | −21.2008 | − | 8.25422i | −0.725902 | − | 0.282619i | −0.0287936 | − | 0.999585i | \(-0.509167\pi\) |
−0.697108 | + | 0.716966i | \(0.745530\pi\) | |||||||
\(854\) | −9.92435 | − | 4.19407i | −0.339604 | − | 0.143518i | ||||
\(855\) | 7.06559 | − | 9.39883i | 0.241638 | − | 0.321433i | ||||
\(856\) | 4.98401 | + | 3.62109i | 0.170350 | + | 0.123766i | ||||
\(857\) | 51.3242 | − | 23.4390i | 1.75320 | − | 0.800660i | 0.765671 | − | 0.643233i | \(-0.222407\pi\) |
0.987531 | − | 0.157428i | \(-0.0503201\pi\) | |||||||
\(858\) | 50.4751 | − | 39.3325i | 1.72319 | − | 1.34279i | ||||
\(859\) | −15.4567 | + | 33.8453i | −0.527374 | + | 1.15479i | 0.439197 | + | 0.898391i | \(0.355263\pi\) |
−0.966571 | + | 0.256398i | \(0.917464\pi\) | |||||||
\(860\) | −11.9819 | + | 0.489334i | −0.408579 | + | 0.0166861i | ||||
\(861\) | −5.76295 | − | 2.83345i | −0.196401 | − | 0.0965637i | ||||
\(862\) | −2.14486 | − | 12.3940i | −0.0730542 | − | 0.422140i | ||||
\(863\) | 1.10072 | − | 4.73347i | 0.0374690 | − | 0.161129i | −0.951940 | − | 0.306285i | \(-0.900914\pi\) |
0.989409 | + | 0.145156i | \(0.0463684\pi\) | |||||||
\(864\) | −19.6160 | + | 6.99897i | −0.667349 | + | 0.238110i | ||||
\(865\) | −9.68456 | − | 22.1551i | −0.329285 | − | 0.753296i | ||||
\(866\) | 1.16238 | − | 40.6887i | 0.0394993 | − | 1.38266i | ||||
\(867\) | 33.9412 | − | 13.2145i | 1.15271 | − | 0.448789i | ||||
\(868\) | −3.25880 | − | 2.82376i | −0.110611 | − | 0.0958448i | ||||
\(869\) | −5.84375 | + | 22.7002i | −0.198236 | + | 0.770050i | ||||
\(870\) | −7.83195 | + | 1.92272i | −0.265528 | + | 0.0651864i | ||||
\(871\) | −11.0696 | + | 20.9792i | −0.375078 | + | 0.710852i | ||||
\(872\) | 2.58268 | + | 1.76599i | 0.0874605 | + | 0.0598040i | ||||
\(873\) | 2.07817 | + | 4.22678i | 0.0703352 | + | 0.143055i | ||||
\(874\) | 1.81242 | − | 1.31680i | 0.0613061 | − | 0.0445415i | ||||
\(875\) | 2.44193 | − | 6.42766i | 0.0825524 | − | 0.217294i | ||||
\(876\) | −39.7007 | − | 58.0604i | −1.34136 | − | 1.96168i | ||||
\(877\) | −4.75878 | − | 41.4747i | −0.160693 | − | 1.40050i | −0.785083 | − | 0.619390i | \(-0.787380\pi\) |
0.624390 | − | 0.781112i | \(-0.285347\pi\) | |||||||
\(878\) | −59.3250 | − | 12.0208i | −2.00212 | − | 0.405682i | ||||
\(879\) | 28.0812 | + | 8.24538i | 0.947155 | + | 0.278110i | ||||
\(880\) | −19.6306 | + | 6.13562i | −0.661747 | + | 0.206832i | ||||
\(881\) | 14.5534 | − | 4.27328i | 0.490318 | − | 0.143970i | −0.0272219 | − | 0.999629i | \(-0.508666\pi\) |
0.517540 | + | 0.855659i | \(0.326848\pi\) | |||||||
\(882\) | −25.2722 | + | 2.17063i | −0.850960 | + | 0.0730891i | ||||
\(883\) | −13.2541 | + | 14.4413i | −0.446036 | + | 0.485988i | −0.918533 | − | 0.395344i | \(-0.870625\pi\) |
0.472497 | + | 0.881332i | \(0.343353\pi\) | |||||||
\(884\) | −4.74803 | + | 4.35770i | −0.159694 | + | 0.146565i | ||||
\(885\) | 0.382919 | − | 0.612204i | 0.0128717 | − | 0.0205790i | ||||
\(886\) | 16.4977 | + | 81.4192i | 0.554250 | + | 2.73533i | ||||
\(887\) | 22.7621 | − | 7.39586i | 0.764277 | − | 0.248329i | 0.0991635 | − | 0.995071i | \(-0.468383\pi\) |
0.665113 | + | 0.746743i | \(0.268383\pi\) | |||||||
\(888\) | −1.78165 | + | 0.468315i | −0.0597884 | + | 0.0157156i | ||||
\(889\) | 2.04212 | − | 2.10129i | 0.0684906 | − | 0.0704751i | ||||
\(890\) | −10.4606 | + | 30.4936i | −0.350639 | + | 1.02215i | ||||
\(891\) | 27.3852 | + | 24.8789i | 0.917439 | + | 0.833475i | ||||
\(892\) | 64.5241 | + | 9.27717i | 2.16043 | + | 0.310622i | ||||
\(893\) | −1.27292 | + | 0.981571i | −0.0425968 | + | 0.0328470i | ||||
\(894\) | 32.2682 | − | 26.3856i | 1.07921 | − | 0.882465i | ||||
\(895\) | 13.5417 | + | 21.8464i | 0.452651 | + | 0.730245i | ||||
\(896\) | −3.46892 | − | 3.56944i | −0.115889 | − | 0.119247i | ||||
\(897\) | −2.61879 | − | 2.01939i | −0.0874390 | − | 0.0674255i | ||||
\(898\) | −5.57944 | + | 0.159392i | −0.186188 | + | 0.00531898i | ||||
\(899\) | −2.01116 | + | 0.849925i | −0.0670760 | + | 0.0283466i | ||||
\(900\) | −16.9606 | − | 14.8170i | −0.565352 | − | 0.493900i | ||||
\(901\) | 4.89734 | − | 3.14733i | 0.163154 | − | 0.104853i | ||||
\(902\) | 25.1894 | − | 22.0517i | 0.838716 | − | 0.734242i | ||||
\(903\) | 1.56873 | − | 2.44099i | 0.0522041 | − | 0.0812312i | ||||
\(904\) | 8.32812 | + | 2.97147i | 0.276989 | + | 0.0988295i | ||||
\(905\) | 50.5970 | − | 3.51590i | 1.68190 | − | 0.116872i | ||||
\(906\) | −19.5879 | + | 74.5200i | −0.650763 | + | 2.47576i | ||||
\(907\) | 2.00870 | + | 35.1282i | 0.0666979 | + | 1.16641i | 0.843664 | + | 0.536871i | \(0.180394\pi\) |
−0.776966 | + | 0.629542i | \(0.783242\pi\) | |||||||
\(908\) | −1.72402 | − | 30.1497i | −0.0572137 | − | 1.00055i | ||||
\(909\) | 8.13315 | − | 30.9417i | 0.269760 | − | 1.02627i | ||||
\(910\) | 0.838864 | + | 12.0720i | 0.0278081 | + | 0.400184i | ||||
\(911\) | −4.14100 | − | 1.47751i | −0.137197 | − | 0.0489520i | 0.266558 | − | 0.963819i | \(-0.414114\pi\) |
−0.403756 | + | 0.914867i | \(0.632295\pi\) | |||||||
\(912\) | 9.56493 | − | 14.8833i | 0.316726 | − | 0.492836i | ||||
\(913\) | −49.7334 | + | 23.0184i | −1.64594 | + | 0.761799i | ||||
\(914\) | −12.9849 | + | 8.34489i | −0.429503 | + | 0.276025i | ||||
\(915\) | −39.3163 | − | 9.82089i | −1.29976 | − | 0.324669i | ||||
\(916\) | 6.59267 | − | 2.78609i | 0.217828 | − | 0.0920549i | ||||
\(917\) | 0.0993784 | − | 0.00283901i | 0.00328176 | − | 9.37525e-5i | ||||
\(918\) | −2.73371 | − | 2.10801i | −0.0902260 | − | 0.0695747i | ||||
\(919\) | 12.2283 | + | 12.5826i | 0.403374 | + | 0.415062i | 0.888134 | − | 0.459585i | \(-0.152002\pi\) |
−0.484759 | + | 0.874648i | \(0.661093\pi\) | |||||||
\(920\) | −0.446489 | − | 0.720304i | −0.0147203 | − | 0.0237477i | ||||
\(921\) | −8.29703 | + | 6.78445i | −0.273396 | + | 0.223555i | ||||
\(922\) | −40.5802 | + | 31.2920i | −1.33644 | + | 1.03055i | ||||
\(923\) | −46.6178 | − | 6.70263i | −1.53445 | − | 0.220620i | ||||
\(924\) | −3.39035 | + | 10.6176i | −0.111534 | + | 0.349292i | ||||
\(925\) | −2.79470 | − | 2.89905i | −0.0918891 | − | 0.0953203i | ||||
\(926\) | −26.8707 | + | 27.6493i | −0.883027 | + | 0.908614i | ||||
\(927\) | 21.9928 | − | 5.78089i | 0.722338 | − | 0.189869i | ||||
\(928\) | −5.87857 | + | 1.91006i | −0.192973 | + | 0.0627009i | ||||
\(929\) | −4.81783 | − | 23.7769i | −0.158068 | − | 0.780096i | −0.978158 | − | 0.207862i | \(-0.933350\pi\) |
0.820090 | − | 0.572234i | \(-0.193923\pi\) | |||||||
\(930\) | −24.7849 | − | 15.5024i | −0.812730 | − | 0.508343i | ||||
\(931\) | −14.1945 | + | 13.0276i | −0.465205 | + | 0.426961i | ||||
\(932\) | 1.68130 | − | 1.83190i | 0.0550728 | − | 0.0600058i | ||||
\(933\) | 32.7227 | − | 2.81055i | 1.07129 | − | 0.0920133i | ||||
\(934\) | −68.9941 | + | 20.2585i | −2.25755 | + | 0.662878i | ||||
\(935\) | −3.54278 | − | 2.96389i | −0.115861 | − | 0.0969296i | ||||
\(936\) | 7.51115 | + | 2.20547i | 0.245510 | + | 0.0720882i | ||||
\(937\) | 19.7759 | + | 4.00711i | 0.646049 | + | 0.130907i | 0.510519 | − | 0.859867i | \(-0.329453\pi\) |
0.135531 | + | 0.990773i | \(0.456726\pi\) | |||||||
\(938\) | −0.848912 | − | 7.39861i | −0.0277180 | − | 0.241573i | ||||
\(939\) | −2.40668 | − | 3.51966i | −0.0785390 | − | 0.114860i | ||||
\(940\) | 1.69611 | + | 2.56941i | 0.0553211 | + | 0.0838048i | ||||
\(941\) | −26.5585 | + | 19.2959i | −0.865783 | + | 0.629028i | −0.929452 | − | 0.368943i | \(-0.879720\pi\) |
0.0636690 | + | 0.997971i | \(0.479720\pi\) | |||||||
\(942\) | −46.6856 | − | 94.9537i | −1.52110 | − | 3.09376i | ||||
\(943\) | −1.42816 | − | 0.976553i | −0.0465074 | − | 0.0318009i | ||||
\(944\) | 0.190615 | − | 0.361256i | 0.00620399 | − | 0.0117579i | ||||
\(945\) | −3.49242 | + | 0.857380i | −0.113609 | + | 0.0278906i | ||||
\(946\) | 8.60141 | + | 12.4431i | 0.279656 | + | 0.404559i | ||||
\(947\) | −5.14194 | − | 4.45552i | −0.167091 | − | 0.144785i | 0.567302 | − | 0.823510i | \(-0.307987\pi\) |
−0.734392 | + | 0.678725i | \(0.762533\pi\) | |||||||
\(948\) | −35.9880 | + | 14.0114i | −1.16884 | + | 0.455069i | ||||
\(949\) | −1.52607 | + | 53.4194i | −0.0495383 | + | 1.73407i | ||||
\(950\) | −30.7764 | − | 1.88482i | −0.998518 | − | 0.0611517i | ||||
\(951\) | −26.6195 | + | 9.49783i | −0.863197 | + | 0.307988i | ||||
\(952\) | 0.0905115 | − | 0.389230i | 0.00293349 | − | 0.0126150i | ||||
\(953\) | −1.56232 | − | 9.02777i | −0.0506084 | − | 0.292438i | 0.949140 | − | 0.314853i | \(-0.101955\pi\) |
−0.999749 | + | 0.0224152i | \(0.992864\pi\) | |||||||
\(954\) | −32.1299 | − | 15.7972i | −1.04024 | − | 0.511453i | ||||
\(955\) | 0.187657 | + | 4.59499i | 0.00607243 | + | 0.148690i | ||||
\(956\) | 13.0723 | − | 28.6244i | 0.422790 | − | 0.925780i | ||||
\(957\) | 4.06715 | + | 3.91265i | 0.131472 | + | 0.126478i | ||||
\(958\) | 58.9643 | − | 26.9281i | 1.90505 | − | 0.870008i | ||||
\(959\) | 1.36799 | + | 0.993906i | 0.0441749 | + | 0.0320949i | ||||
\(960\) | −44.4163 | − | 33.3901i | −1.43353 | − | 1.07766i | ||||
\(961\) | 21.2644 | + | 8.98640i | 0.685947 | + | 0.289884i | ||||
\(962\) | 6.60399 | + | 2.57117i | 0.212921 | + | 0.0828978i | ||||
\(963\) | −9.43902 | + | 4.98046i | −0.304168 | + | 0.160493i | ||||
\(964\) | −18.1198 | − | 2.07905i | −0.583598 | − | 0.0669617i | ||||
\(965\) | −24.8185 | + | 24.7182i | −0.798934 | + | 0.795708i | ||||
\(966\) | 1.03654 | + | 0.0592718i | 0.0333503 | + | 0.00190704i | ||||
\(967\) | − | 24.1564i | − | 0.776819i | −0.921487 | − | 0.388409i | \(-0.873025\pi\) | ||
0.921487 | − | 0.388409i | \(-0.126975\pi\) | |||||||
\(968\) | −8.74877 | − | 7.42664i | −0.281196 | − | 0.238701i | ||||
\(969\) | 3.97334 | 0.127642 | ||||||||
\(970\) | 6.24796 | − | 10.6542i | 0.200610 | − | 0.342086i | ||||
\(971\) | 1.41849 | − | 4.36565i | 0.0455214 | − | 0.140100i | −0.925713 | − | 0.378228i | \(-0.876534\pi\) |
0.971234 | + | 0.238127i | \(0.0765336\pi\) | |||||||
\(972\) | −4.71995 | + | 41.1363i | −0.151392 | + | 1.31945i | ||||
\(973\) | −10.2648 | + | 5.41617i | −0.329074 | + | 0.173634i | ||||
\(974\) | 15.6955 | − | 40.3136i | 0.502917 | − | 1.29173i | ||||
\(975\) | 10.1296 | + | 44.3739i | 0.324408 | + | 1.42110i | ||||
\(976\) | −22.5873 | − | 3.90888i | −0.723001 | − | 0.125120i | ||||
\(977\) | 13.2730 | − | 18.2687i | 0.424641 | − | 0.584468i | −0.542072 | − | 0.840332i | \(-0.682360\pi\) |
0.966713 | + | 0.255864i | \(0.0823600\pi\) | |||||||
\(978\) | −32.8160 | + | 14.9866i | −1.04934 | + | 0.479218i | ||||
\(979\) | 21.9479 | − | 5.22138i | 0.701458 | − | 0.166876i | ||||
\(980\) | 22.8904 | + | 28.9442i | 0.731208 | + | 0.924588i | ||||
\(981\) | −4.71955 | + | 2.66525i | −0.150684 | + | 0.0850949i | ||||
\(982\) | −14.3330 | + | 29.1518i | −0.457384 | + | 0.930272i | ||||
\(983\) | −0.459769 | − | 2.65675i | −0.0146644 | − | 0.0847372i | 0.977110 | − | 0.212733i | \(-0.0682365\pi\) |
−0.991775 | + | 0.127996i | \(0.959146\pi\) | |||||||
\(984\) | 10.6107 | + | 2.46741i | 0.338256 | + | 0.0786581i | ||||
\(985\) | 34.6213 | + | 4.54542i | 1.10313 | + | 0.144829i | ||||
\(986\) | −0.793115 | − | 0.648527i | −0.0252579 | − | 0.0206533i | ||||
\(987\) | −0.744644 | − | 0.0212728i | −0.0237023 | − | 0.000677120i | ||||
\(988\) | 28.0548 | − | 10.9227i | 0.892541 | − | 0.347498i | ||||
\(989\) | 0.511923 | − | 0.590791i | 0.0162782 | − | 0.0187861i | ||||
\(990\) | −4.35831 | + | 28.0721i | −0.138516 | + | 0.892189i | ||||
\(991\) | −18.3599 | − | 21.1884i | −0.583221 | − | 0.673073i | 0.385073 | − | 0.922886i | \(-0.374176\pi\) |
−0.968294 | + | 0.249813i | \(0.919631\pi\) | |||||||
\(992\) | −19.8170 | − | 10.4564i | −0.629191 | − | 0.331990i | ||||
\(993\) | −50.2034 | − | 34.3282i | −1.59316 | − | 1.08937i | ||||
\(994\) | 13.2693 | − | 6.52407i | 0.420877 | − | 0.206931i | ||||
\(995\) | 9.26804 | + | 59.2922i | 0.293817 | + | 1.87969i | ||||
\(996\) | −78.6195 | − | 44.3985i | −2.49115 | − | 1.40682i | ||||
\(997\) | −33.6352 | + | 22.9991i | −1.06524 | + | 0.728390i | −0.963847 | − | 0.266457i | \(-0.914147\pi\) |
−0.101390 | + | 0.994847i | \(0.532329\pi\) | |||||||
\(998\) | 8.36178 | + | 72.8764i | 0.264688 | + | 2.30686i | ||||
\(999\) | −0.418236 | + | 2.06407i | −0.0132324 | + | 0.0653044i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 605.2.u.a.4.10 | ✓ | 2560 | |
5.4 | even | 2 | inner | 605.2.u.a.4.55 | yes | 2560 | |
121.91 | even | 55 | inner | 605.2.u.a.454.55 | yes | 2560 | |
605.454 | even | 110 | inner | 605.2.u.a.454.10 | yes | 2560 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
605.2.u.a.4.10 | ✓ | 2560 | 1.1 | even | 1 | trivial | |
605.2.u.a.4.55 | yes | 2560 | 5.4 | even | 2 | inner | |
605.2.u.a.454.10 | yes | 2560 | 605.454 | even | 110 | inner | |
605.2.u.a.454.55 | yes | 2560 | 121.91 | even | 55 | inner |