Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [349,2,Mod(9,349)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(349, base_ring=CyclotomicField(174))
chi = DirichletCharacter(H, H._module([26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("349.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 349 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 349.i (of order \(87\), degree \(56\), 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: | \(2.78677903054\) |
Analytic rank: | \(0\) |
Dimension: | \(1568\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{87})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{87}]$ |
Embedding invariants
Embedding label | 9.2 | ||
Character | \(\chi\) | \(=\) | 349.9 |
Dual form | 349.2.i.a.194.2 |
$q$-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 \(\left(\mathbb{Z}/349\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{13}{87}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.17302 | − | 1.10227i | −1.53656 | − | 0.779425i | −0.538557 | − | 0.842589i | \(-0.681030\pi\) |
−0.998003 | + | 0.0631644i | \(0.979881\pi\) | |||||||
\(3\) | 1.67917 | − | 0.634157i | 0.969467 | − | 0.366131i | 0.182554 | − | 0.983196i | \(-0.441563\pi\) |
0.786912 | + | 0.617065i | \(0.211678\pi\) | |||||||
\(4\) | 2.32562 | + | 3.17675i | 1.16281 | + | 1.58838i | ||||
\(5\) | −1.08355 | + | 0.279878i | −0.484580 | + | 0.125165i | −0.484421 | − | 0.874835i | \(-0.660970\pi\) |
−0.000158125 | 1.00000i | \(0.500050\pi\) | ||||||||
\(6\) | −4.34788 | − | 0.472861i | −1.77502 | − | 0.193045i | ||||
\(7\) | −4.21470 | − | 0.152260i | −1.59301 | − | 0.0575489i | −0.774700 | − | 0.632329i | \(-0.782099\pi\) |
−0.818308 | + | 0.574780i | \(0.805088\pi\) | |||||||
\(8\) | −0.763578 | − | 4.65762i | −0.269966 | − | 1.64672i | ||||
\(9\) | 0.166393 | − | 0.146588i | 0.0554643 | − | 0.0488628i | ||||
\(10\) | 2.66309 | + | 0.586190i | 0.842142 | + | 0.185370i | ||||
\(11\) | 2.58124 | + | 1.19421i | 0.778273 | + | 0.360067i | 0.768471 | − | 0.639885i | \(-0.221018\pi\) |
0.00980179 | + | 0.999952i | \(0.496880\pi\) | |||||||
\(12\) | 5.91966 | + | 3.85949i | 1.70886 | + | 1.11414i | ||||
\(13\) | 0.103510 | + | 5.73240i | 0.0287086 | + | 1.58988i | 0.620773 | + | 0.783990i | \(0.286819\pi\) |
−0.592065 | + | 0.805890i | \(0.701687\pi\) | |||||||
\(14\) | 8.99082 | + | 4.97662i | 2.40290 | + | 1.33006i | ||||
\(15\) | −1.64198 | + | 1.15710i | −0.423957 | + | 0.298763i | ||||
\(16\) | −1.09562 | + | 3.45672i | −0.273905 | + | 0.864179i | ||||
\(17\) | 0.222692 | − | 1.35836i | 0.0540107 | − | 0.329451i | −0.945976 | − | 0.324238i | \(-0.894892\pi\) |
0.999986 | − | 0.00521324i | \(-0.00165943\pi\) | |||||||
\(18\) | −0.523156 | + | 0.135129i | −0.123309 | + | 0.0318503i | ||||
\(19\) | −7.64337 | − | 2.27158i | −1.75351 | − | 0.521135i | −0.761596 | − | 0.648053i | \(-0.775584\pi\) |
−0.991913 | + | 0.126917i | \(0.959492\pi\) | |||||||
\(20\) | −3.40904 | − | 2.79129i | −0.762283 | − | 0.624152i | ||||
\(21\) | −7.17374 | + | 2.41711i | −1.56544 | + | 0.527458i | ||||
\(22\) | −4.29275 | − | 5.44027i | −0.915217 | − | 1.15987i | ||||
\(23\) | 0.139154 | + | 7.70636i | 0.0290157 | + | 1.60689i | 0.609615 | + | 0.792697i | \(0.291324\pi\) |
−0.580600 | + | 0.814189i | \(0.697182\pi\) | |||||||
\(24\) | −4.23584 | − | 7.33669i | −0.864637 | − | 1.49759i | ||||
\(25\) | −3.27880 | + | 1.81489i | −0.655760 | + | 0.362978i | ||||
\(26\) | 6.09374 | − | 12.5707i | 1.19508 | − | 2.46532i | ||||
\(27\) | −2.33583 | + | 4.40585i | −0.449531 | + | 0.847906i | ||||
\(28\) | −9.31810 | − | 13.7432i | −1.76096 | − | 2.59722i | ||||
\(29\) | 7.63139 | − | 4.97550i | 1.41711 | − | 0.923927i | 0.417229 | − | 0.908801i | \(-0.363001\pi\) |
0.999886 | − | 0.0151253i | \(-0.00481473\pi\) | |||||||
\(30\) | 4.84350 | − | 0.704507i | 0.884299 | − | 0.128625i | ||||
\(31\) | 4.11030 | + | 6.06223i | 0.738231 | + | 1.08881i | 0.992568 | + | 0.121693i | \(0.0388324\pi\) |
−0.254337 | + | 0.967116i | \(0.581857\pi\) | |||||||
\(32\) | −0.423214 | + | 0.430925i | −0.0748144 | + | 0.0761776i | ||||
\(33\) | 5.09164 | + | 0.368362i | 0.886341 | + | 0.0641236i | ||||
\(34\) | −1.98120 | + | 2.70628i | −0.339773 | + | 0.464123i | ||||
\(35\) | 4.60947 | − | 1.01462i | 0.779142 | − | 0.171502i | ||||
\(36\) | 0.852641 | + | 0.187681i | 0.142107 | + | 0.0312801i | ||||
\(37\) | −4.72885 | + | 2.84526i | −0.777418 | + | 0.467757i | −0.848162 | − | 0.529738i | \(-0.822290\pi\) |
0.0707434 | + | 0.997495i | \(0.477463\pi\) | |||||||
\(38\) | 14.1053 | + | 13.3613i | 2.28819 | + | 2.16748i | ||||
\(39\) | 3.80905 | + | 9.56000i | 0.609937 | + | 1.53083i | ||||
\(40\) | 2.13094 | + | 4.83307i | 0.336932 | + | 0.764175i | ||||
\(41\) | −0.908287 | − | 5.54031i | −0.141851 | − | 0.865250i | −0.957865 | − | 0.287219i | \(-0.907269\pi\) |
0.816014 | − | 0.578032i | \(-0.196179\pi\) | |||||||
\(42\) | 18.2530 | + | 2.65498i | 2.81650 | + | 0.409672i | ||||
\(43\) | −0.148415 | − | 1.63955i | −0.0226331 | − | 0.250030i | −0.999367 | − | 0.0355747i | \(-0.988674\pi\) |
0.976734 | − | 0.214455i | \(-0.0687974\pi\) | |||||||
\(44\) | 2.20927 | + | 10.9772i | 0.333061 | + | 1.65488i | ||||
\(45\) | −0.139269 | + | 0.205406i | −0.0207609 | + | 0.0306201i | ||||
\(46\) | 8.19213 | − | 16.8995i | 1.20786 | − | 2.49169i | ||||
\(47\) | −3.12232 | − | 2.37353i | −0.455438 | − | 0.346215i | 0.352169 | − | 0.935936i | \(-0.385444\pi\) |
−0.807606 | + | 0.589722i | \(0.799237\pi\) | |||||||
\(48\) | 0.352376 | + | 6.49920i | 0.0508611 | + | 0.938078i | ||||
\(49\) | 10.7588 | + | 0.778358i | 1.53697 | + | 0.111194i | ||||
\(50\) | 9.12542 | − | 0.329665i | 1.29053 | − | 0.0466216i | ||||
\(51\) | −0.487478 | − | 2.42213i | −0.0682605 | − | 0.339167i | ||||
\(52\) | −17.9697 | + | 13.6602i | −2.49195 | + | 1.89433i | ||||
\(53\) | 2.08396 | + | 2.45343i | 0.286254 | + | 0.337005i | 0.886429 | − | 0.462864i | \(-0.153178\pi\) |
−0.600175 | + | 0.799869i | \(0.704902\pi\) | |||||||
\(54\) | 9.93227 | − | 6.99928i | 1.35161 | − | 0.952482i | ||||
\(55\) | −3.13114 | − | 0.571556i | −0.422203 | − | 0.0770686i | ||||
\(56\) | 2.50908 | + | 19.7467i | 0.335290 | + | 2.63877i | ||||
\(57\) | −14.2750 | + | 1.03275i | −1.89077 | + | 0.136790i | ||||
\(58\) | −22.0676 | + | 2.39999i | −2.89761 | + | 0.315134i | ||||
\(59\) | −4.24373 | + | 1.60270i | −0.552486 | + | 0.208653i | −0.613795 | − | 0.789466i | \(-0.710358\pi\) |
0.0613083 | + | 0.998119i | \(0.480473\pi\) | |||||||
\(60\) | −7.49445 | − | 2.52518i | −0.967530 | − | 0.325999i | ||||
\(61\) | −0.00432768 | + | 0.0798194i | −0.000554103 | + | 0.0102198i | −0.998797 | − | 0.0490283i | \(-0.984388\pi\) |
0.998243 | + | 0.0592481i | \(0.0188703\pi\) | |||||||
\(62\) | −2.24953 | − | 17.7040i | −0.285691 | − | 2.24842i | ||||
\(63\) | −0.723616 | + | 0.592491i | −0.0911670 | + | 0.0746468i | ||||
\(64\) | 8.26740 | − | 2.78561i | 1.03342 | − | 0.348201i | ||||
\(65\) | −1.71653 | − | 6.18238i | −0.212909 | − | 0.766830i | ||||
\(66\) | −10.6582 | − | 6.41284i | −1.31194 | − | 0.789366i | ||||
\(67\) | 5.10630 | + | 4.83695i | 0.623834 | + | 0.590927i | 0.932910 | − | 0.360110i | \(-0.117261\pi\) |
−0.309076 | + | 0.951037i | \(0.600020\pi\) | |||||||
\(68\) | 4.83307 | − | 2.45159i | 0.586096 | − | 0.297299i | ||||
\(69\) | 5.12071 | + | 12.8520i | 0.616461 | + | 1.54720i | ||||
\(70\) | −11.1349 | − | 2.87610i | −1.33087 | − | 0.343760i | ||||
\(71\) | −6.87952 | − | 2.59813i | −0.816449 | − | 0.308342i | −0.0903306 | − | 0.995912i | \(-0.528792\pi\) |
−0.726118 | + | 0.687570i | \(0.758677\pi\) | |||||||
\(72\) | −0.809806 | − | 0.663063i | −0.0954366 | − | 0.0781427i | ||||
\(73\) | 0.769063 | − | 1.22747i | 0.0900121 | − | 0.143664i | −0.799354 | − | 0.600861i | \(-0.794825\pi\) |
0.889366 | + | 0.457197i | \(0.151146\pi\) | |||||||
\(74\) | 13.4122 | − | 0.970320i | 1.55913 | − | 0.112797i | ||||
\(75\) | −4.35472 | + | 5.12678i | −0.502840 | + | 0.591989i | ||||
\(76\) | −10.5593 | − | 29.5639i | −1.21124 | − | 3.39121i | ||||
\(77\) | −10.6973 | − | 5.42625i | −1.21907 | − | 0.618379i | ||||
\(78\) | 2.26057 | − | 24.9727i | 0.255960 | − | 2.82760i | ||||
\(79\) | −1.48531 | + | 1.74864i | −0.167111 | + | 0.196738i | −0.839343 | − | 0.543603i | \(-0.817060\pi\) |
0.672232 | + | 0.740341i | \(0.265336\pi\) | |||||||
\(80\) | 0.219703 | − | 4.05218i | 0.0245635 | − | 0.453047i | ||||
\(81\) | −1.21210 | + | 9.53939i | −0.134678 | + | 1.05993i | ||||
\(82\) | −4.13320 | + | 13.0404i | −0.456436 | + | 1.44007i | ||||
\(83\) | 2.98385 | + | 3.03821i | 0.327520 | + | 0.333487i | 0.857463 | − | 0.514546i | \(-0.172040\pi\) |
−0.529943 | + | 0.848033i | \(0.677787\pi\) | |||||||
\(84\) | −24.3620 | − | 17.1679i | −2.65811 | − | 1.87317i | ||||
\(85\) | 0.138877 | + | 1.53418i | 0.0150633 | + | 0.166405i | ||||
\(86\) | −1.48473 | + | 3.72638i | −0.160102 | + | 0.401826i | ||||
\(87\) | 9.65913 | − | 13.1942i | 1.03557 | − | 1.41457i | ||||
\(88\) | 3.59119 | − | 12.9343i | 0.382822 | − | 1.37880i | ||||
\(89\) | 9.50453 | − | 12.0452i | 1.00748 | − | 1.27679i | 0.0468658 | − | 0.998901i | \(-0.485077\pi\) |
0.960612 | − | 0.277893i | \(-0.0896360\pi\) | |||||||
\(90\) | 0.529047 | − | 0.292840i | 0.0557665 | − | 0.0308680i | ||||
\(91\) | 0.436550 | − | 24.1761i | 0.0457629 | − | 2.53434i | ||||
\(92\) | −24.1576 | + | 18.3641i | −2.51860 | + | 1.91459i | ||||
\(93\) | 10.7463 | + | 7.57292i | 1.11434 | + | 0.785275i | ||||
\(94\) | 4.16860 | + | 8.59939i | 0.429959 | + | 0.886959i | ||||
\(95\) | 8.91776 | + | 0.322163i | 0.914943 | + | 0.0330532i | ||||
\(96\) | −0.437372 | + | 0.991980i | −0.0446391 | + | 0.101243i | ||||
\(97\) | −10.9500 | − | 2.82835i | −1.11181 | − | 0.287176i | −0.351143 | − | 0.936322i | \(-0.614207\pi\) |
−0.760664 | + | 0.649146i | \(0.775126\pi\) | |||||||
\(98\) | −22.5211 | − | 13.5505i | −2.27498 | − | 1.36881i | ||||
\(99\) | 0.604557 | − | 0.179672i | 0.0607602 | − | 0.0180577i | ||||
\(100\) | −13.3907 | − | 6.19520i | −1.33907 | − | 0.619520i | ||||
\(101\) | −10.5882 | + | 10.0297i | −1.05356 | + | 0.997989i | −1.00000 | 0.000575230i | \(-0.999817\pi\) | |
−0.0535645 | + | 0.998564i | \(0.517058\pi\) | |||||||
\(102\) | −1.61055 | + | 5.80069i | −0.159469 | + | 0.574354i | ||||
\(103\) | −0.0117788 | − | 0.217247i | −0.00116060 | − | 0.0214060i | 0.997896 | − | 0.0648388i | \(-0.0206533\pi\) |
−0.999056 | + | 0.0434328i | \(0.986171\pi\) | |||||||
\(104\) | 26.6203 | − | 4.85924i | 2.61033 | − | 0.476488i | ||||
\(105\) | 7.09663 | − | 4.62684i | 0.692560 | − | 0.451534i | ||||
\(106\) | −1.82415 | − | 7.62846i | −0.177177 | − | 0.740942i | ||||
\(107\) | 0.880702 | + | 3.68303i | 0.0851406 | + | 0.356052i | 0.998718 | − | 0.0506121i | \(-0.0161172\pi\) |
−0.913578 | + | 0.406664i | \(0.866692\pi\) | |||||||
\(108\) | −19.4285 | + | 2.82596i | −1.86951 | + | 0.271928i | ||||
\(109\) | −1.96532 | − | 6.20066i | −0.188244 | − | 0.593915i | −0.999951 | − | 0.00985158i | \(-0.996864\pi\) |
0.811708 | − | 0.584064i | \(-0.198538\pi\) | |||||||
\(110\) | 6.17403 | + | 4.69338i | 0.588671 | + | 0.447496i | ||||
\(111\) | −6.13618 | + | 7.77649i | −0.582421 | + | 0.738112i | ||||
\(112\) | 5.14403 | − | 14.4022i | 0.486065 | − | 1.36088i | ||||
\(113\) | −11.2426 | − | 7.32994i | −1.05762 | − | 0.689543i | −0.105235 | − | 0.994447i | \(-0.533559\pi\) |
−0.952383 | + | 0.304904i | \(0.901375\pi\) | |||||||
\(114\) | 32.1583 | + | 13.4908i | 3.01190 | + | 1.26353i | ||||
\(115\) | −2.30762 | − | 8.31130i | −0.215187 | − | 0.775033i | ||||
\(116\) | 33.5537 | + | 12.6719i | 3.11538 | + | 1.17656i | ||||
\(117\) | 0.857525 | + | 0.938656i | 0.0792782 | + | 0.0867788i | ||||
\(118\) | 10.9883 | + | 1.19505i | 1.01156 | + | 0.110014i | ||||
\(119\) | −1.14540 | + | 5.69118i | −0.104999 | + | 0.521709i | ||||
\(120\) | 6.64313 | + | 6.76417i | 0.606432 | + | 0.617481i | ||||
\(121\) | −1.88459 | − | 2.21871i | −0.171326 | − | 0.201701i | ||||
\(122\) | 0.0973869 | − | 0.168679i | 0.00881700 | − | 0.0152715i | ||||
\(123\) | −5.03859 | − | 8.72709i | −0.454314 | − | 0.786896i | ||||
\(124\) | −9.69924 | + | 27.1558i | −0.871017 | + | 2.43867i | ||||
\(125\) | 7.10717 | − | 6.73227i | 0.635685 | − | 0.602152i | ||||
\(126\) | 2.22552 | − | 0.489874i | 0.198265 | − | 0.0436415i | ||||
\(127\) | −11.9468 | + | 5.52717i | −1.06010 | + | 0.490457i | −0.870890 | − | 0.491479i | \(-0.836457\pi\) |
−0.189215 | + | 0.981936i | \(0.560594\pi\) | |||||||
\(128\) | −19.8404 | − | 2.88586i | −1.75366 | − | 0.255076i | ||||
\(129\) | −1.28895 | − | 2.65896i | −0.113486 | − | 0.234109i | ||||
\(130\) | −3.08462 | + | 15.3266i | −0.270539 | + | 1.34423i | ||||
\(131\) | 1.43113 | − | 8.72953i | 0.125039 | − | 0.762703i | −0.847644 | − | 0.530565i | \(-0.821980\pi\) |
0.972683 | − | 0.232138i | \(-0.0745719\pi\) | |||||||
\(132\) | 10.6710 | + | 17.0316i | 0.928794 | + | 1.48241i | ||||
\(133\) | 31.8687 | + | 10.7378i | 2.76336 | + | 0.931085i | ||||
\(134\) | −5.76448 | − | 16.1393i | −0.497975 | − | 1.39423i | ||||
\(135\) | 1.29790 | − | 5.42772i | 0.111705 | − | 0.467143i | ||||
\(136\) | −6.49677 | −0.557093 | ||||||||
\(137\) | −2.12230 | + | 8.87530i | −0.181320 | + | 0.758268i | 0.804979 | + | 0.593303i | \(0.202176\pi\) |
−0.986299 | + | 0.164965i | \(0.947249\pi\) | |||||||
\(138\) | 3.03901 | − | 33.5721i | 0.258697 | − | 2.85785i | ||||
\(139\) | −1.52119 | + | 0.165439i | −0.129025 | + | 0.0140323i | −0.172404 | − | 0.985026i | \(-0.555153\pi\) |
0.0433785 | + | 0.999059i | \(0.486188\pi\) | |||||||
\(140\) | 13.9431 | + | 12.2835i | 1.17840 | + | 1.03815i | ||||
\(141\) | −6.74809 | − | 2.00550i | −0.568292 | − | 0.168894i | ||||
\(142\) | 12.0855 | + | 13.2289i | 1.01419 | + | 1.11015i | ||||
\(143\) | −6.57849 | + | 14.9203i | −0.550121 | + | 1.24770i | ||||
\(144\) | 0.324411 | + | 0.735778i | 0.0270343 | + | 0.0613148i | ||||
\(145\) | −6.87649 | + | 7.52708i | −0.571061 | + | 0.625090i | ||||
\(146\) | −3.02420 | + | 1.81960i | −0.250284 | + | 0.150591i | ||||
\(147\) | 18.5594 | − | 5.51577i | 1.53075 | − | 0.454933i | ||||
\(148\) | −20.0362 | − | 8.40541i | −1.64696 | − | 0.690921i | ||||
\(149\) | 9.01318 | + | 11.4226i | 0.738388 | + | 0.935772i | 0.999564 | − | 0.0295191i | \(-0.00939757\pi\) |
−0.261176 | + | 0.965291i | \(0.584110\pi\) | |||||||
\(150\) | 15.1140 | − | 6.34051i | 1.23406 | − | 0.517701i | ||||
\(151\) | 5.84375 | + | 1.06671i | 0.475557 | + | 0.0868078i | 0.412026 | − | 0.911172i | \(-0.364821\pi\) |
0.0635312 | + | 0.997980i | \(0.479764\pi\) | |||||||
\(152\) | −4.74383 | + | 37.3344i | −0.384775 | + | 3.02822i | ||||
\(153\) | −0.162065 | − | 0.258665i | −0.0131022 | − | 0.0209119i | ||||
\(154\) | 17.2643 | + | 23.5827i | 1.39120 | + | 1.90035i | ||||
\(155\) | −6.15041 | − | 5.41837i | −0.494013 | − | 0.435214i | ||||
\(156\) | −21.5114 | + | 34.3333i | −1.72229 | + | 2.74887i | ||||
\(157\) | 17.1804 | − | 14.0672i | 1.37114 | − | 1.12268i | 0.391897 | − | 0.920009i | \(-0.371819\pi\) |
0.979247 | − | 0.202672i | \(-0.0649626\pi\) | |||||||
\(158\) | 5.15510 | − | 2.16263i | 0.410118 | − | 0.172049i | ||||
\(159\) | 5.05518 | + | 2.79816i | 0.400902 | + | 0.221908i | ||||
\(160\) | 0.337969 | − | 0.585379i | 0.0267188 | − | 0.0462783i | ||||
\(161\) | 0.586877 | − | 32.5012i | 0.0462524 | − | 2.56145i | ||||
\(162\) | 13.1489 | − | 19.3932i | 1.03308 | − | 1.52368i | ||||
\(163\) | 5.41694 | + | 10.2174i | 0.424288 | + | 0.800292i | 0.999847 | − | 0.0174682i | \(-0.00556060\pi\) |
−0.575560 | + | 0.817760i | \(0.695216\pi\) | |||||||
\(164\) | 15.4879 | − | 15.7700i | 1.20940 | − | 1.23143i | ||||
\(165\) | −5.62016 | + | 1.02590i | −0.437529 | + | 0.0798662i | ||||
\(166\) | −3.13503 | − | 9.89113i | −0.243325 | − | 0.767700i | ||||
\(167\) | −1.56048 | + | 2.94337i | −0.120753 | + | 0.227765i | −0.936518 | − | 0.350619i | \(-0.885971\pi\) |
0.815765 | + | 0.578383i | \(0.196316\pi\) | |||||||
\(168\) | 16.7357 | + | 31.5669i | 1.29119 | + | 2.43544i | ||||
\(169\) | −19.8581 | + | 0.717394i | −1.52755 | + | 0.0551841i | ||||
\(170\) | 1.38931 | − | 3.48689i | 0.106555 | − | 0.267433i | ||||
\(171\) | −1.60479 | + | 0.742454i | −0.122721 | + | 0.0567769i | ||||
\(172\) | 4.86330 | − | 4.28445i | 0.370823 | − | 0.326687i | ||||
\(173\) | 14.5336 | − | 15.9086i | 1.10497 | − | 1.20951i | 0.128987 | − | 0.991646i | \(-0.458827\pi\) |
0.975980 | − | 0.217862i | \(-0.0699083\pi\) | |||||||
\(174\) | −35.5331 | + | 18.0243i | −2.69376 | + | 1.36642i | ||||
\(175\) | 14.0955 | − | 7.14999i | 1.06552 | − | 0.540489i | ||||
\(176\) | −6.95610 | + | 7.61422i | −0.524336 | + | 0.573943i | ||||
\(177\) | −6.10956 | + | 5.38238i | −0.459223 | + | 0.404565i | ||||
\(178\) | −33.9307 | + | 15.6980i | −2.54322 | + | 1.17662i | ||||
\(179\) | −4.57167 | + | 11.4740i | −0.341702 | + | 0.857608i | 0.653239 | + | 0.757152i | \(0.273410\pi\) |
−0.994941 | + | 0.100456i | \(0.967970\pi\) | |||||||
\(180\) | −0.976410 | + | 0.0352737i | −0.0727773 | + | 0.00262915i | ||||
\(181\) | 4.53511 | + | 8.55412i | 0.337092 | + | 0.635823i | 0.992880 | − | 0.119123i | \(-0.0380082\pi\) |
−0.655788 | + | 0.754945i | \(0.727663\pi\) | |||||||
\(182\) | −27.5973 | + | 52.0540i | −2.04565 | + | 3.85850i | ||||
\(183\) | 0.0433511 | + | 0.136774i | 0.00320461 | + | 0.0101107i | ||||
\(184\) | 35.7870 | − | 6.53253i | 2.63825 | − | 0.481585i | ||||
\(185\) | 4.32764 | − | 4.40649i | 0.318174 | − | 0.323971i | ||||
\(186\) | −15.0045 | − | 28.3015i | −1.10018 | − | 2.07516i | ||||
\(187\) | 2.19699 | − | 3.24031i | 0.160660 | − | 0.236955i | ||||
\(188\) | 0.278779 | − | 15.4388i | 0.0203321 | − | 1.12599i | ||||
\(189\) | 10.5157 | − | 18.2137i | 0.764903 | − | 1.32485i | ||||
\(190\) | −19.0234 | − | 10.5299i | −1.38010 | − | 0.763917i | ||||
\(191\) | 2.55026 | − | 1.06987i | 0.184531 | − | 0.0774127i | −0.292643 | − | 0.956222i | \(-0.594535\pi\) |
0.477174 | + | 0.878809i | \(0.341661\pi\) | |||||||
\(192\) | 12.1158 | − | 9.92034i | 0.874384 | − | 0.715939i | ||||
\(193\) | −6.48578 | + | 10.3517i | −0.466857 | + | 0.745130i | −0.994545 | − | 0.104308i | \(-0.966737\pi\) |
0.527688 | + | 0.849438i | \(0.323059\pi\) | |||||||
\(194\) | 20.6771 | + | 18.2160i | 1.48453 | + | 1.30783i | ||||
\(195\) | −6.80294 | − | 9.29270i | −0.487169 | − | 0.665464i | ||||
\(196\) | 22.5482 | + | 35.9882i | 1.61058 | + | 2.57058i | ||||
\(197\) | −0.785912 | + | 6.18520i | −0.0559939 | + | 0.440678i | 0.939248 | + | 0.343240i | \(0.111524\pi\) |
−0.995242 | + | 0.0974376i | \(0.968935\pi\) | |||||||
\(198\) | −1.51176 | − | 0.275956i | −0.107436 | − | 0.0196113i | ||||
\(199\) | −7.18877 | + | 3.01577i | −0.509599 | + | 0.213783i | −0.626588 | − | 0.779351i | \(-0.715549\pi\) |
0.116990 | + | 0.993133i | \(0.462676\pi\) | |||||||
\(200\) | 10.9567 | + | 13.8856i | 0.774755 | + | 0.981860i | ||||
\(201\) | 11.6417 | + | 4.88384i | 0.821143 | + | 0.344479i | ||||
\(202\) | 34.0638 | − | 10.1236i | 2.39672 | − | 0.712296i | ||||
\(203\) | −32.9216 | + | 19.8083i | −2.31065 | + | 1.39027i | ||||
\(204\) | 6.56084 | − | 7.18156i | 0.459350 | − | 0.502810i | ||||
\(205\) | 2.53479 | + | 5.74900i | 0.177037 | + | 0.401528i | ||||
\(206\) | −0.213870 | + | 0.485067i | −0.0149010 | + | 0.0337962i | ||||
\(207\) | 1.15282 | + | 1.26188i | 0.0801262 | + | 0.0877070i | ||||
\(208\) | −19.9287 | − | 5.92272i | −1.38181 | − | 0.410667i | ||||
\(209\) | −17.0166 | − | 14.9913i | −1.17706 | − | 1.03697i | ||||
\(210\) | −20.5212 | + | 2.23181i | −1.41610 | + | 0.154010i | ||||
\(211\) | −0.645492 | + | 7.13080i | −0.0444375 | + | 0.490904i | 0.942989 | + | 0.332824i | \(0.108002\pi\) |
−0.987426 | + | 0.158080i | \(0.949470\pi\) | |||||||
\(212\) | −2.94744 | + | 12.3260i | −0.202431 | + | 0.846552i | ||||
\(213\) | −13.1995 | −0.904413 | ||||||||
\(214\) | 2.14592 | − | 8.97409i | 0.146692 | − | 0.613456i | ||||
\(215\) | 0.619690 | + | 1.73500i | 0.0422625 | + | 0.118326i | ||||
\(216\) | 22.3043 | + | 7.51521i | 1.51762 | + | 0.511345i | ||||
\(217\) | −16.4006 | − | 26.1763i | −1.11335 | − | 1.77697i | ||||
\(218\) | −2.56413 | + | 15.6405i | −0.173665 | + | 1.05931i | ||||
\(219\) | 0.512977 | − | 2.54883i | 0.0346637 | − | 0.172234i | ||||
\(220\) | −5.46615 | − | 11.2761i | −0.368528 | − | 0.760234i | ||||
\(221\) | 7.80971 | + | 1.13595i | 0.525338 | + | 0.0764125i | ||||
\(222\) | 21.9059 | − | 10.1347i | 1.47023 | − | 0.680200i | ||||
\(223\) | −7.00431 | + | 1.54177i | −0.469043 | + | 0.103244i | −0.443202 | − | 0.896422i | \(-0.646158\pi\) |
−0.0258414 | + | 0.999666i | \(0.508226\pi\) | |||||||
\(224\) | 1.84934 | − | 1.75178i | 0.123564 | − | 0.117046i | ||||
\(225\) | −0.279527 | + | 0.782619i | −0.0186352 | + | 0.0521746i | ||||
\(226\) | 16.3509 | + | 28.3206i | 1.08765 | + | 1.88386i | ||||
\(227\) | 6.67793 | − | 11.5665i | 0.443230 | − | 0.767697i | −0.554697 | − | 0.832052i | \(-0.687166\pi\) |
0.997927 | + | 0.0643555i | \(0.0204992\pi\) | |||||||
\(228\) | −36.4790 | − | 42.9464i | −2.41588 | − | 2.84420i | ||||
\(229\) | 18.4004 | + | 18.7356i | 1.21593 | + | 1.23809i | 0.962667 | + | 0.270690i | \(0.0872517\pi\) |
0.253265 | + | 0.967397i | \(0.418495\pi\) | |||||||
\(230\) | −4.14681 | + | 20.6043i | −0.273433 | + | 1.35861i | ||||
\(231\) | −21.4037 | − | 2.32779i | −1.40826 | − | 0.153157i | ||||
\(232\) | −29.0011 | − | 31.7449i | −1.90402 | − | 2.08416i | ||||
\(233\) | 8.31285 | + | 3.13945i | 0.544593 | + | 0.205672i | 0.610305 | − | 0.792166i | \(-0.291047\pi\) |
−0.0657121 | + | 0.997839i | \(0.520932\pi\) | |||||||
\(234\) | −0.828767 | − | 2.98495i | −0.0541782 | − | 0.195132i | ||||
\(235\) | 4.04750 | + | 1.69797i | 0.264030 | + | 0.110764i | ||||
\(236\) | −14.9607 | − | 9.75402i | −0.973857 | − | 0.634933i | ||||
\(237\) | −1.38517 | + | 3.87819i | −0.0899764 | + | 0.251915i | ||||
\(238\) | 8.76222 | − | 11.1045i | 0.567971 | − | 0.719799i | ||||
\(239\) | 0.507527 | + | 0.385812i | 0.0328292 | + | 0.0249561i | 0.621460 | − | 0.783446i | \(-0.286540\pi\) |
−0.588631 | + | 0.808402i | \(0.700333\pi\) | |||||||
\(240\) | −2.20080 | − | 6.94360i | −0.142061 | − | 0.448208i | ||||
\(241\) | 6.79015 | − | 0.987655i | 0.437392 | − | 0.0636204i | 0.0783157 | − | 0.996929i | \(-0.475046\pi\) |
0.359076 | + | 0.933308i | \(0.383092\pi\) | |||||||
\(242\) | 1.64963 | + | 6.89864i | 0.106042 | + | 0.443461i | ||||
\(243\) | 0.534887 | + | 2.23686i | 0.0343130 | + | 0.143495i | ||||
\(244\) | −0.263631 | + | 0.171881i | −0.0168772 | + | 0.0110036i | ||||
\(245\) | −11.8756 | + | 2.16775i | −0.758701 | + | 0.138493i | ||||
\(246\) | 1.32933 | + | 24.5181i | 0.0847551 | + | 1.56322i | ||||
\(247\) | 12.2304 | − | 44.0499i | 0.778202 | − | 2.80283i | ||||
\(248\) | 25.0970 | − | 23.7732i | 1.59366 | − | 1.50960i | ||||
\(249\) | 6.93708 | + | 3.20944i | 0.439620 | + | 0.203390i | ||||
\(250\) | −22.8648 | + | 6.79534i | −1.44610 | + | 0.429775i | ||||
\(251\) | −6.26648 | − | 3.77042i | −0.395537 | − | 0.237987i | 0.303865 | − | 0.952715i | \(-0.401723\pi\) |
−0.699402 | + | 0.714728i | \(0.746550\pi\) | |||||||
\(252\) | −3.56505 | − | 0.920841i | −0.224577 | − | 0.0580075i | ||||
\(253\) | −8.84380 | + | 20.0581i | −0.556005 | + | 1.26104i | ||||
\(254\) | 32.0531 | + | 1.15795i | 2.01119 | + | 0.0726561i | ||||
\(255\) | 1.20611 | + | 2.48808i | 0.0755295 | + | 0.155809i | ||||
\(256\) | 25.6700 | + | 18.0897i | 1.60438 | + | 1.13061i | ||||
\(257\) | 15.8416 | − | 12.0425i | 0.988174 | − | 0.751190i | 0.0195722 | − | 0.999808i | \(-0.493770\pi\) |
0.968602 | + | 0.248618i | \(0.0799765\pi\) | |||||||
\(258\) | −0.129989 | + | 7.19876i | −0.00809274 | + | 0.448175i | ||||
\(259\) | 20.3639 | − | 11.2719i | 1.26535 | − | 0.700401i | ||||
\(260\) | 15.6479 | − | 19.8309i | 0.970442 | − | 1.22986i | ||||
\(261\) | 0.540460 | − | 1.94656i | 0.0334536 | − | 0.120489i | ||||
\(262\) | −12.7322 | + | 17.3920i | −0.786599 | + | 1.07448i | ||||
\(263\) | −0.684363 | + | 1.71762i | −0.0421996 | + | 0.105913i | −0.948566 | − | 0.316580i | \(-0.897466\pi\) |
0.906366 | + | 0.422493i | \(0.138845\pi\) | |||||||
\(264\) | −2.17218 | − | 23.9962i | −0.133688 | − | 1.47686i | ||||
\(265\) | −2.94475 | − | 2.07517i | −0.180894 | − | 0.127477i | ||||
\(266\) | −57.4153 | − | 58.4615i | −3.52036 | − | 3.58450i | ||||
\(267\) | 8.32109 | − | 26.2533i | 0.509243 | − | 1.60668i | ||||
\(268\) | −3.49047 | + | 27.4704i | −0.213214 | + | 1.67802i | ||||
\(269\) | −0.809123 | + | 14.9234i | −0.0493331 | + | 0.909896i | 0.864204 | + | 0.503141i | \(0.167822\pi\) |
−0.913537 | + | 0.406755i | \(0.866660\pi\) | |||||||
\(270\) | −8.80319 | + | 10.3639i | −0.535745 | + | 0.630728i | ||||
\(271\) | 0.0178921 | − | 0.197655i | 0.00108687 | − | 0.0120067i | −0.995366 | − | 0.0961548i | \(-0.969346\pi\) |
0.996453 | + | 0.0841481i | \(0.0268169\pi\) | |||||||
\(272\) | 4.45148 | + | 2.25803i | 0.269911 | + | 0.136913i | ||||
\(273\) | −14.5984 | − | 40.8725i | −0.883536 | − | 2.47372i | ||||
\(274\) | 14.3948 | − | 16.9469i | 0.869622 | − | 1.02380i | ||||
\(275\) | −10.6307 | + | 0.769094i | −0.641057 | + | 0.0463781i | ||||
\(276\) | −28.9188 | + | 46.1561i | −1.74071 | + | 2.77827i | ||||
\(277\) | 17.5412 | + | 14.3626i | 1.05395 | + | 0.862966i | 0.990840 | − | 0.135041i | \(-0.0431166\pi\) |
0.0631097 | + | 0.998007i | \(0.479898\pi\) | |||||||
\(278\) | 3.48793 | + | 1.31726i | 0.209192 | + | 0.0790040i | ||||
\(279\) | 1.57258 | + | 0.406191i | 0.0941477 | + | 0.0243180i | ||||
\(280\) | −8.24540 | − | 20.6944i | −0.492757 | − | 1.23673i | ||||
\(281\) | 3.91682 | − | 1.98682i | 0.233658 | − | 0.118524i | −0.331654 | − | 0.943401i | \(-0.607607\pi\) |
0.565312 | + | 0.824877i | \(0.308756\pi\) | |||||||
\(282\) | 12.4531 | + | 11.7962i | 0.741574 | + | 0.702456i | ||||
\(283\) | 1.87637 | + | 1.12897i | 0.111539 | + | 0.0671106i | 0.570230 | − | 0.821485i | \(-0.306854\pi\) |
−0.458691 | + | 0.888596i | \(0.651682\pi\) | |||||||
\(284\) | −7.74551 | − | 27.8968i | −0.459611 | − | 1.65537i | ||||
\(285\) | 15.1787 | − | 5.11430i | 0.899108 | − | 0.302945i | ||||
\(286\) | 30.7415 | − | 25.1709i | 1.81778 | − | 1.48838i | ||||
\(287\) | 2.98459 | + | 23.4890i | 0.176175 | + | 1.38651i | ||||
\(288\) | −0.00725123 | + | 0.133741i | −0.000427283 | + | 0.00788077i | ||||
\(289\) | 14.3146 | + | 4.82313i | 0.842033 | + | 0.283714i | ||||
\(290\) | 23.2397 | − | 8.77674i | 1.36468 | − | 0.515388i | ||||
\(291\) | −20.1805 | + | 2.19477i | −1.18300 | + | 0.128659i | ||||
\(292\) | 5.68791 | − | 0.411500i | 0.332860 | − | 0.0240812i | ||||
\(293\) | −0.738908 | − | 5.81528i | −0.0431675 | − | 0.339732i | −0.998956 | − | 0.0456781i | \(-0.985455\pi\) |
0.955789 | − | 0.294054i | \(-0.0950046\pi\) | |||||||
\(294\) | −46.4099 | − | 8.47161i | −2.70668 | − | 0.494075i | ||||
\(295\) | 4.14975 | − | 2.92433i | 0.241608 | − | 0.170261i | ||||
\(296\) | 16.8630 | + | 19.8526i | 0.980140 | + | 1.15391i | ||||
\(297\) | −11.2908 | + | 8.58307i | −0.655161 | + | 0.498040i | ||||
\(298\) | −6.99507 | − | 34.7565i | −0.405214 | − | 2.01339i | ||||
\(299\) | −44.1615 | + | 1.59538i | −2.55392 | + | 0.0922630i | ||||
\(300\) | −26.4139 | − | 1.91095i | −1.52501 | − | 0.110329i | ||||
\(301\) | 0.375887 | + | 6.93283i | 0.0216658 | + | 0.399601i | ||||
\(302\) | −11.5228 | − | 8.75940i | −0.663062 | − | 0.504047i | ||||
\(303\) | −11.4189 | + | 23.5561i | −0.656001 | + | 1.35326i | ||||
\(304\) | 16.2264 | − | 23.9322i | 0.930649 | − | 1.37260i | ||||
\(305\) | −0.0176504 | − | 0.0876997i | −0.00101066 | − | 0.00502167i | ||||
\(306\) | 0.0670518 | + | 0.740727i | 0.00383310 | + | 0.0423445i | ||||
\(307\) | 8.31622 | + | 1.20963i | 0.474632 | + | 0.0690371i | 0.377055 | − | 0.926191i | \(-0.376937\pi\) |
0.0975769 | + | 0.995228i | \(0.468891\pi\) | |||||||
\(308\) | −7.64004 | − | 46.6022i | −0.435331 | − | 2.65540i | ||||
\(309\) | −0.157548 | − | 0.357325i | −0.00896257 | − | 0.0203275i | ||||
\(310\) | 7.39246 | + | 18.5537i | 0.419863 | + | 1.05378i | ||||
\(311\) | 21.0980 | + | 19.9850i | 1.19636 | + | 1.13325i | 0.987880 | + | 0.155221i | \(0.0496088\pi\) |
0.208476 | + | 0.978028i | \(0.433150\pi\) | |||||||
\(312\) | 41.6183 | − | 25.0409i | 2.35617 | − | 1.41766i | ||||
\(313\) | 20.3333 | + | 4.47569i | 1.14930 | + | 0.252981i | 0.748470 | − | 0.663169i | \(-0.230789\pi\) |
0.400835 | + | 0.916150i | \(0.368720\pi\) | |||||||
\(314\) | −52.8392 | + | 11.6308i | −2.98189 | + | 0.656364i | ||||
\(315\) | 0.618251 | − | 0.844519i | 0.0348345 | − | 0.0475833i | ||||
\(316\) | −9.00928 | − | 0.651789i | −0.506812 | − | 0.0366660i | ||||
\(317\) | 14.9953 | − | 15.2685i | 0.842221 | − | 0.857567i | −0.149128 | − | 0.988818i | \(-0.547647\pi\) |
0.991349 | + | 0.131251i | \(0.0418994\pi\) | |||||||
\(318\) | −7.90070 | − | 11.6527i | −0.443049 | − | 0.653448i | ||||
\(319\) | 25.6402 | − | 3.72947i | 1.43558 | − | 0.208810i | ||||
\(320\) | −8.17853 | + | 5.33222i | −0.457194 | + | 0.298080i | ||||
\(321\) | 3.81446 | + | 5.62591i | 0.212903 | + | 0.314008i | ||||
\(322\) | −37.1005 | + | 69.9790i | −2.06753 | + | 3.89977i | ||||
\(323\) | −4.78774 | + | 9.87659i | −0.266397 | + | 0.549548i | ||||
\(324\) | −33.1232 | + | 18.3344i | −1.84018 | + | 1.01858i | ||||
\(325\) | −10.7431 | − | 18.6075i | −0.595918 | − | 1.03216i | ||||
\(326\) | −0.508735 | − | 28.1737i | −0.0281762 | − | 1.56040i | ||||
\(327\) | −7.23230 | − | 9.16561i | −0.399947 | − | 0.506859i | ||||
\(328\) | −25.1111 | + | 8.46091i | −1.38653 | + | 0.467176i | ||||
\(329\) | 12.7983 | + | 10.4791i | 0.705591 | + | 0.577733i | ||||
\(330\) | 13.3436 | + | 3.96565i | 0.734539 | + | 0.218302i | ||||
\(331\) | −25.9890 | + | 6.71286i | −1.42848 | + | 0.368972i | −0.883088 | − | 0.469207i | \(-0.844540\pi\) |
−0.545395 | + | 0.838179i | \(0.683620\pi\) | |||||||
\(332\) | −2.71236 | + | 16.5447i | −0.148860 | + | 0.908007i | ||||
\(333\) | −0.369766 | + | 1.16662i | −0.0202630 | + | 0.0639306i | ||||
\(334\) | 6.63535 | − | 4.67594i | 0.363070 | − | 0.255856i | ||||
\(335\) | −6.88670 | − | 3.81195i | −0.376261 | − | 0.208269i | ||||
\(336\) | −0.495592 | − | 27.4458i | −0.0270368 | − | 1.49729i | ||||
\(337\) | 7.29613 | + | 4.75691i | 0.397446 | + | 0.259126i | 0.729285 | − | 0.684210i | \(-0.239853\pi\) |
−0.331839 | + | 0.943336i | \(0.607669\pi\) | |||||||
\(338\) | 43.9429 | + | 20.3302i | 2.39018 | + | 1.10581i | ||||
\(339\) | −23.5266 | − | 5.17859i | −1.27779 | − | 0.281262i | ||||
\(340\) | −4.55074 | + | 4.00910i | −0.246799 | + | 0.217424i | ||||
\(341\) | 3.37009 | + | 20.5566i | 0.182500 | + | 1.11320i | ||||
\(342\) | 4.30563 | + | 0.155545i | 0.232822 | + | 0.00841091i | ||||
\(343\) | −15.8774 | − | 1.72678i | −0.857301 | − | 0.0932371i | ||||
\(344\) | −7.52309 | + | 1.94319i | −0.405618 | + | 0.104770i | ||||
\(345\) | −9.14555 | − | 12.4927i | −0.492380 | − | 0.672582i | ||||
\(346\) | −49.1174 | + | 18.5498i | −2.64057 | + | 0.997243i | ||||
\(347\) | −6.42793 | − | 3.26059i | −0.345070 | − | 0.175038i | 0.271300 | − | 0.962495i | \(-0.412547\pi\) |
−0.616369 | + | 0.787457i | \(0.711397\pi\) | |||||||
\(348\) | 64.3782 | 3.45103 | ||||||||
\(349\) | −14.6604 | + | 11.5790i | −0.784751 | + | 0.619811i | ||||
\(350\) | −38.5111 | −2.05851 | ||||||||
\(351\) | −25.4978 | − | 12.9339i | −1.36097 | − | 0.690358i | ||||
\(352\) | −1.60703 | + | 0.606915i | −0.0856551 | + | 0.0323487i | ||||
\(353\) | 5.19149 | + | 7.09148i | 0.276315 | + | 0.377441i | 0.922667 | − | 0.385598i | \(-0.126005\pi\) |
−0.646352 | + | 0.763040i | \(0.723706\pi\) | |||||||
\(354\) | 19.2091 | − | 4.96164i | 1.02095 | − | 0.263708i | ||||
\(355\) | 8.18148 | + | 0.889790i | 0.434228 | + | 0.0472251i | ||||
\(356\) | 60.3687 | + | 2.18088i | 3.19954 | + | 0.115586i | ||||
\(357\) | 1.68578 | + | 10.2828i | 0.0892209 | + | 0.544223i | ||||
\(358\) | 22.5818 | − | 19.8941i | 1.19349 | − | 1.05143i | ||||
\(359\) | 10.2550 | + | 2.25730i | 0.541239 | + | 0.119136i | 0.477172 | − | 0.878810i | \(-0.341662\pi\) |
0.0640670 | + | 0.997946i | \(0.479593\pi\) | |||||||
\(360\) | 1.06304 | + | 0.491817i | 0.0560274 | + | 0.0259210i | ||||
\(361\) | 37.3450 | + | 24.3481i | 1.96553 | + | 1.28148i | ||||
\(362\) | −0.425917 | − | 23.5872i | −0.0223857 | − | 1.23972i | ||||
\(363\) | −4.57155 | − | 2.53046i | −0.239944 | − | 0.132814i | ||||
\(364\) | 77.8168 | − | 54.8376i | 4.07871 | − | 2.87427i | ||||
\(365\) | −0.489779 | + | 1.54527i | −0.0256362 | + | 0.0808832i | ||||
\(366\) | 0.0565597 | − | 0.344999i | 0.00295642 | − | 0.0180334i | ||||
\(367\) | 1.31667 | − | 0.340091i | 0.0687296 | − | 0.0177526i | −0.215566 | − | 0.976489i | \(-0.569160\pi\) |
0.284296 | + | 0.958737i | \(0.408240\pi\) | |||||||
\(368\) | −26.7912 | − | 7.96222i | −1.39659 | − | 0.415059i | ||||
\(369\) | −0.963276 | − | 0.788723i | −0.0501462 | − | 0.0410593i | ||||
\(370\) | −14.2612 | + | 4.80516i | −0.741405 | + | 0.249808i | ||||
\(371\) | −8.40973 | − | 10.6578i | −0.436611 | − | 0.553325i | ||||
\(372\) | 0.934455 | + | 51.7500i | 0.0484492 | + | 2.68311i | ||||
\(373\) | −6.14462 | − | 10.6428i | −0.318157 | − | 0.551063i | 0.661947 | − | 0.749551i | \(-0.269730\pi\) |
−0.980103 | + | 0.198487i | \(0.936397\pi\) | |||||||
\(374\) | −8.34581 | + | 4.61960i | −0.431552 | + | 0.238874i | ||||
\(375\) | 7.66480 | − | 15.8117i | 0.395808 | − | 0.816511i | ||||
\(376\) | −8.67085 | + | 16.3550i | −0.447165 | + | 0.843443i | ||||
\(377\) | 29.3114 | + | 43.2312i | 1.50962 | + | 2.22652i | ||||
\(378\) | −42.9273 | + | 27.9876i | −2.20794 | + | 1.43953i | ||||
\(379\) | 26.2206 | − | 3.81389i | 1.34686 | − | 0.195906i | 0.567962 | − | 0.823055i | \(-0.307732\pi\) |
0.778900 | + | 0.627148i | \(0.215778\pi\) | |||||||
\(380\) | 19.7159 | + | 29.0787i | 1.01140 | + | 1.49171i | ||||
\(381\) | −16.5555 | + | 16.8572i | −0.848165 | + | 0.863619i | ||||
\(382\) | −6.72106 | − | 0.486244i | −0.343880 | − | 0.0248784i | ||||
\(383\) | −11.5334 | + | 15.7544i | −0.589329 | + | 0.805012i | −0.993992 | − | 0.109453i | \(-0.965090\pi\) |
0.404663 | + | 0.914466i | \(0.367389\pi\) | |||||||
\(384\) | −35.1453 | + | 7.73607i | −1.79350 | + | 0.394780i | ||||
\(385\) | 13.1098 | + | 2.88569i | 0.668138 | + | 0.147068i | ||||
\(386\) | 25.5041 | − | 15.3453i | 1.29813 | − | 0.781056i | ||||
\(387\) | −0.265034 | − | 0.251054i | −0.0134725 | − | 0.0127618i | ||||
\(388\) | −16.4806 | − | 41.3632i | −0.836676 | − | 2.09990i | ||||
\(389\) | 0.866164 | + | 1.96450i | 0.0439162 | + | 0.0996039i | 0.935610 | − | 0.353035i | \(-0.114850\pi\) |
−0.891694 | + | 0.452639i | \(0.850483\pi\) | |||||||
\(390\) | 4.53987 | + | 27.6920i | 0.229885 | + | 1.40224i | ||||
\(391\) | 10.4990 | + | 1.52712i | 0.530957 | + | 0.0772298i | ||||
\(392\) | −4.58987 | − | 50.7046i | −0.231823 | − | 2.56097i | ||||
\(393\) | −3.13279 | − | 15.5659i | −0.158028 | − | 0.785195i | ||||
\(394\) | 8.52559 | − | 12.5743i | 0.429513 | − | 0.633484i | ||||
\(395\) | 1.12001 | − | 2.31045i | 0.0563537 | − | 0.116252i | ||||
\(396\) | 1.97674 | + | 1.50268i | 0.0993350 | + | 0.0755125i | ||||
\(397\) | −1.33363 | − | 24.5973i | −0.0669329 | − | 1.23451i | −0.818367 | − | 0.574697i | \(-0.805120\pi\) |
0.751434 | − | 0.659809i | \(-0.229363\pi\) | |||||||
\(398\) | 18.9456 | + | 1.37064i | 0.949656 | + | 0.0687042i | ||||
\(399\) | 60.3222 | − | 2.17920i | 3.01989 | − | 0.109096i | ||||
\(400\) | −2.68124 | − | 13.3223i | −0.134062 | − | 0.666116i | ||||
\(401\) | 5.73831 | − | 4.36215i | 0.286557 | − | 0.217835i | −0.452013 | − | 0.892011i | \(-0.649294\pi\) |
0.738571 | + | 0.674176i | \(0.235501\pi\) | |||||||
\(402\) | −19.9144 | − | 23.4450i | −0.993240 | − | 1.16933i | ||||
\(403\) | −34.3257 | + | 24.1893i | −1.70988 | + | 1.20496i | ||||
\(404\) | −56.4859 | − | 10.3109i | −2.81028 | − | 0.512986i | ||||
\(405\) | −1.35648 | − | 10.6757i | −0.0674043 | − | 0.530478i | ||||
\(406\) | 93.3736 | − | 6.75524i | 4.63405 | − | 0.335257i | ||||
\(407\) | −15.6041 | + | 1.69705i | −0.773468 | + | 0.0841197i | ||||
\(408\) | −10.9091 | + | 4.11997i | −0.540083 | + | 0.203969i | ||||
\(409\) | −14.5127 | − | 4.88989i | −0.717606 | − | 0.241790i | −0.0632730 | − | 0.997996i | \(-0.520154\pi\) |
−0.654333 | + | 0.756207i | \(0.727050\pi\) | |||||||
\(410\) | 0.828824 | − | 15.2868i | 0.0409327 | − | 0.754959i | ||||
\(411\) | 2.06465 | + | 16.2490i | 0.101841 | + | 0.801502i | ||||
\(412\) | 0.662748 | − | 0.542653i | 0.0326513 | − | 0.0267346i | ||||
\(413\) | 18.1301 | − | 6.10874i | 0.892123 | − | 0.300591i | ||||
\(414\) | −1.11415 | − | 4.01282i | −0.0547577 | − | 0.197219i | ||||
\(415\) | −4.08349 | − | 2.45695i | −0.200450 | − | 0.120607i | ||||
\(416\) | −2.51404 | − | 2.38143i | −0.123261 | − | 0.116759i | ||||
\(417\) | −2.44941 | + | 1.24247i | −0.119948 | + | 0.0608440i | ||||
\(418\) | 20.4531 | + | 51.3333i | 1.00039 | + | 2.51079i | ||||
\(419\) | −12.3808 | − | 3.19791i | −0.604841 | − | 0.156228i | −0.0648439 | − | 0.997895i | \(-0.520655\pi\) |
−0.539997 | + | 0.841667i | \(0.681574\pi\) | |||||||
\(420\) | 31.2024 | + | 11.7840i | 1.52252 | + | 0.574999i | ||||
\(421\) | 30.6287 | + | 25.0785i | 1.49275 | + | 1.22225i | 0.913329 | + | 0.407223i | \(0.133503\pi\) |
0.579421 | + | 0.815028i | \(0.303279\pi\) | |||||||
\(422\) | 9.26276 | − | 14.7839i | 0.450904 | − | 0.719668i | ||||
\(423\) | −0.867464 | + | 0.0627578i | −0.0421775 | + | 0.00305139i | ||||
\(424\) | 9.83588 | − | 11.5797i | 0.477673 | − | 0.562360i | ||||
\(425\) | 1.73511 | + | 4.85796i | 0.0841653 | + | 0.235645i | ||||
\(426\) | 28.6828 | + | 14.5494i | 1.38969 | + | 0.704922i | ||||
\(427\) | 0.0303932 | − | 0.335756i | 0.00147083 | − | 0.0162484i | ||||
\(428\) | −9.65190 | + | 11.3631i | −0.466542 | + | 0.549256i | ||||
\(429\) | −1.58456 | + | 29.2254i | −0.0765032 | + | 1.41102i | ||||
\(430\) | 0.565847 | − | 4.45327i | 0.0272876 | − | 0.214756i | ||||
\(431\) | 2.10976 | − | 6.65636i | 0.101623 | − | 0.320626i | −0.888875 | − | 0.458150i | \(-0.848512\pi\) |
0.990498 | + | 0.137524i | \(0.0439146\pi\) | |||||||
\(432\) | −12.6706 | − | 12.9014i | −0.609614 | − | 0.620721i | ||||
\(433\) | −10.9744 | − | 7.73368i | −0.527397 | − | 0.371657i | 0.281543 | − | 0.959549i | \(-0.409154\pi\) |
−0.808940 | + | 0.587891i | \(0.799958\pi\) | |||||||
\(434\) | 6.78549 | + | 74.9598i | 0.325714 | + | 3.59818i | ||||
\(435\) | −6.77341 | + | 17.0000i | −0.324760 | + | 0.815087i | ||||
\(436\) | 15.1274 | − | 20.6637i | 0.724470 | − | 0.989612i | ||||
\(437\) | 16.4420 | − | 59.2186i | 0.786526 | − | 2.83281i | ||||
\(438\) | −3.92422 | + | 4.97323i | −0.187506 | + | 0.237630i | ||||
\(439\) | −35.5185 | + | 19.6603i | −1.69521 | + | 0.938335i | −0.727554 | + | 0.686050i | \(0.759343\pi\) |
−0.967653 | + | 0.252285i | \(0.918818\pi\) | |||||||
\(440\) | −0.271219 | + | 15.0201i | −0.0129299 | + | 0.716055i | ||||
\(441\) | 1.90428 | − | 1.44760i | 0.0906801 | − | 0.0689332i | ||||
\(442\) | −15.7186 | − | 11.0769i | −0.747655 | − | 0.526874i | ||||
\(443\) | −7.82282 | − | 16.1376i | −0.371673 | − | 0.766722i | 0.628263 | − | 0.778001i | \(-0.283766\pi\) |
−0.999936 | + | 0.0112787i | \(0.996410\pi\) | |||||||
\(444\) | −38.9744 | − | 1.40799i | −1.84964 | − | 0.0668202i | ||||
\(445\) | −6.92746 | + | 15.7118i | −0.328393 | + | 0.744810i | ||||
\(446\) | 16.9200 | + | 4.37037i | 0.801184 | + | 0.206943i | ||||
\(447\) | 22.3783 | + | 13.4646i | 1.05846 | + | 0.636853i | ||||
\(448\) | −35.2688 | + | 10.4817i | −1.66629 | + | 0.495215i | ||||
\(449\) | 25.8089 | + | 11.9405i | 1.21800 | + | 0.563505i | 0.920322 | − | 0.391162i | \(-0.127927\pi\) |
0.297675 | + | 0.954667i | \(0.403789\pi\) | |||||||
\(450\) | 1.47008 | − | 1.39253i | 0.0693002 | − | 0.0656446i | ||||
\(451\) | 4.27177 | − | 15.3855i | 0.201150 | − | 0.724477i | ||||
\(452\) | −2.86066 | − | 52.7617i | −0.134554 | − | 2.48170i | ||||
\(453\) | 10.4891 | − | 1.91467i | 0.492820 | − | 0.0899590i | ||||
\(454\) | −27.2608 | + | 17.7734i | −1.27941 | + | 0.834148i | ||||
\(455\) | 6.29333 | + | 26.3183i | 0.295036 | + | 1.23382i | ||||
\(456\) | 15.7102 | + | 65.6990i | 0.735699 | + | 3.07664i | ||||
\(457\) | −12.1296 | + | 1.76429i | −0.567397 | + | 0.0825302i | −0.421596 | − | 0.906784i | \(-0.638530\pi\) |
−0.145801 | + | 0.989314i | \(0.546576\pi\) | |||||||
\(458\) | −19.3327 | − | 60.9953i | −0.903357 | − | 2.85012i | ||||
\(459\) | 5.46456 | + | 4.15405i | 0.255064 | + | 0.193894i | ||||
\(460\) | 21.0363 | − | 26.6597i | 0.980823 | − | 1.24301i | ||||
\(461\) | −8.81267 | + | 24.6737i | −0.410447 | + | 1.14917i | 0.540911 | + | 0.841080i | \(0.318080\pi\) |
−0.951358 | + | 0.308087i | \(0.900311\pi\) | |||||||
\(462\) | 43.9448 | + | 28.6510i | 2.04450 | + | 1.33297i | ||||
\(463\) | −29.8051 | − | 12.5036i | −1.38516 | − | 0.581091i | −0.437167 | − | 0.899380i | \(-0.644018\pi\) |
−0.947994 | + | 0.318289i | \(0.896892\pi\) | |||||||
\(464\) | 8.83779 | + | 31.8308i | 0.410284 | + | 1.47771i | ||||
\(465\) | −13.7637 | − | 5.19801i | −0.638274 | − | 0.241052i | ||||
\(466\) | −14.6035 | − | 15.9851i | −0.676494 | − | 0.740497i | ||||
\(467\) | −0.209448 | − | 0.0227788i | −0.00969208 | − | 0.00105408i | 0.103272 | − | 0.994653i | \(-0.467069\pi\) |
−0.112964 | + | 0.993599i | \(0.536034\pi\) | |||||||
\(468\) | −0.987602 | + | 4.90710i | −0.0456519 | + | 0.226831i | ||||
\(469\) | −20.7851 | − | 21.1638i | −0.959765 | − | 0.977252i | ||||
\(470\) | −6.92368 | − | 8.15119i | −0.319366 | − | 0.375986i | ||||
\(471\) | 19.9279 | − | 34.5162i | 0.918230 | − | 1.59042i | ||||
\(472\) | 10.7052 | + | 18.5419i | 0.492745 | + | 0.853460i | ||||
\(473\) | 1.57487 | − | 4.40932i | 0.0724127 | − | 0.202741i | ||||
\(474\) | 7.28483 | − | 6.90055i | 0.334603 | − | 0.316953i | ||||
\(475\) | 29.1837 | − | 6.42383i | 1.33904 | − | 0.294745i | ||||
\(476\) | −20.7432 | + | 9.59685i | −0.950765 | + | 0.439871i | ||||
\(477\) | 0.706401 | + | 0.102749i | 0.0323439 | + | 0.00470455i | ||||
\(478\) | −0.677598 | − | 1.39781i | −0.0309926 | − | 0.0639344i | ||||
\(479\) | −0.206056 | + | 1.02383i | −0.00941495 | + | 0.0467802i | −0.984771 | − | 0.173857i | \(-0.944377\pi\) |
0.975356 | + | 0.220637i | \(0.0708137\pi\) | |||||||
\(480\) | 0.196283 | − | 1.19727i | 0.00895905 | − | 0.0546478i | ||||
\(481\) | −16.7996 | − | 26.8131i | −0.765996 | − | 1.22257i | ||||
\(482\) | −15.8438 | − | 5.33841i | −0.721667 | − | 0.243158i | ||||
\(483\) | −19.6254 | − | 54.9471i | −0.892987 | − | 2.50018i | ||||
\(484\) | 2.66546 | − | 11.1467i | 0.121157 | − | 0.506670i | ||||
\(485\) | 12.6565 | 0.574703 | ||||||||
\(486\) | 1.30331 | − | 5.45034i | 0.0591192 | − | 0.247232i | ||||
\(487\) | −0.0399958 | + | 0.441837i | −0.00181238 | + | 0.0200215i | −0.996784 | − | 0.0801378i | \(-0.974464\pi\) |
0.994971 | + | 0.100159i | \(0.0319352\pi\) | |||||||
\(488\) | 0.375073 | − | 0.0407916i | 0.0169787 | − | 0.00184655i | ||||
\(489\) | 15.5754 | + | 13.7216i | 0.704344 | + | 0.620511i | ||||
\(490\) | 28.1953 | + | 8.37953i | 1.27373 | + | 0.378548i | ||||
\(491\) | 12.0248 | + | 13.1624i | 0.542670 | + | 0.594012i | 0.947252 | − | 0.320489i | \(-0.103847\pi\) |
−0.404582 | + | 0.914502i | \(0.632583\pi\) | |||||||
\(492\) | 16.0060 | − | 36.3023i | 0.721606 | − | 1.63663i | ||||
\(493\) | −5.05907 | − | 11.4742i | −0.227849 | − | 0.516771i | ||||
\(494\) | −75.1320 | + | 82.2403i | −3.38035 | + | 3.70017i | ||||
\(495\) | −0.604783 | + | 0.363886i | −0.0271830 | + | 0.0163555i | ||||
\(496\) | −25.4587 | + | 7.56623i | −1.14313 | + | 0.339734i | ||||
\(497\) | 28.5995 | + | 11.9978i | 1.28286 | + | 0.538177i | ||||
\(498\) | −11.5368 | − | 14.6207i | −0.516975 | − | 0.655171i | ||||
\(499\) | −28.8464 | + | 12.1014i | −1.29134 | + | 0.541733i | −0.921867 | − | 0.387507i | \(-0.873336\pi\) |
−0.369475 | + | 0.929241i | \(0.620463\pi\) | |||||||
\(500\) | 37.9153 | + | 6.92103i | 1.69563 | + | 0.309518i | ||||
\(501\) | −0.753738 | + | 5.93200i | −0.0336745 | + | 0.265022i | ||||
\(502\) | 9.46118 | + | 15.1006i | 0.422273 | + | 0.673972i | ||||
\(503\) | −5.98669 | − | 8.17770i | −0.266933 | − | 0.364626i | 0.652556 | − | 0.757740i | \(-0.273697\pi\) |
−0.919490 | + | 0.393114i | \(0.871398\pi\) | |||||||
\(504\) | 3.31213 | + | 2.91791i | 0.147534 | + | 0.129974i | ||||
\(505\) | 8.66578 | − | 13.8311i | 0.385622 | − | 0.615475i | ||||
\(506\) | 41.3273 | − | 33.8385i | 1.83722 | − | 1.50430i | ||||
\(507\) | −32.8901 | + | 13.7978i | −1.46070 | + | 0.612782i | ||||
\(508\) | −45.3421 | − | 25.0979i | −2.01173 | − | 1.11354i | ||||
\(509\) | 0.0552188 | − | 0.0956418i | 0.00244753 | − | 0.00423925i | −0.864799 | − | 0.502118i | \(-0.832554\pi\) |
0.867247 | + | 0.497879i | \(0.165888\pi\) | |||||||
\(510\) | 0.121635 | − | 6.73611i | 0.00538607 | − | 0.298280i | ||||
\(511\) | −3.42827 | + | 5.05632i | −0.151658 | + | 0.223678i | ||||
\(512\) | −17.0594 | − | 32.1775i | −0.753927 | − | 1.42206i | ||||
\(513\) | 27.8618 | − | 28.3695i | 1.23013 | − | 1.25254i | ||||
\(514\) | −47.6984 | + | 8.70682i | −2.10388 | + | 0.384041i | ||||
\(515\) | 0.0735657 | + | 0.232102i | 0.00324169 | + | 0.0102276i | ||||
\(516\) | 5.44927 | − | 10.2784i | 0.239891 | − | 0.452482i | ||||
\(517\) | −5.22497 | − | 9.85535i | −0.229794 | − | 0.433438i | ||||
\(518\) | −56.6760 | + | 2.04747i | −2.49020 | + | 0.0899609i | ||||
\(519\) | 14.3157 | − | 35.9297i | 0.628390 | − | 1.57714i | ||||
\(520\) | −27.4845 | + | 12.7157i | −1.20527 | + | 0.557619i | ||||
\(521\) | 23.9366 | − | 21.0876i | 1.04868 | − | 0.923864i | 0.0514837 | − | 0.998674i | \(-0.483605\pi\) |
0.997198 | + | 0.0748095i | \(0.0238349\pi\) | |||||||
\(522\) | −3.32007 | + | 3.63419i | −0.145316 | + | 0.159064i | ||||
\(523\) | −25.2274 | + | 12.7967i | −1.10312 | + | 0.559560i | −0.907047 | − | 0.421029i | \(-0.861669\pi\) |
−0.196071 | + | 0.980590i | \(0.562818\pi\) | |||||||
\(524\) | 31.0598 | − | 15.7552i | 1.35686 | − | 0.688269i | ||||
\(525\) | 19.1345 | − | 20.9448i | 0.835097 | − | 0.914106i | ||||
\(526\) | 3.38043 | − | 2.97808i | 0.147394 | − | 0.129850i | ||||
\(527\) | 9.15002 | − | 4.23325i | 0.398581 | − | 0.184403i | ||||
\(528\) | −6.85183 | + | 17.1968i | −0.298188 | + | 0.748394i | ||||
\(529\) | −36.3836 | + | 1.31439i | −1.58189 | + | 0.0571475i | ||||
\(530\) | 4.11160 | + | 7.75530i | 0.178597 | + | 0.336869i | ||||
\(531\) | −0.471190 | + | 0.888758i | −0.0204479 | + | 0.0385688i | ||||
\(532\) | 40.0030 | + | 126.211i | 1.73435 | + | 5.47194i | ||||
\(533\) | 31.6652 | − | 5.78014i | 1.37157 | − | 0.250366i | ||||
\(534\) | −47.0203 | + | 47.8770i | −2.03477 | + | 2.07184i | ||||
\(535\) | −1.98509 | − | 3.74427i | −0.0858227 | − | 0.161879i | ||||
\(536\) | 18.6296 | − | 27.4766i | 0.804676 | − | 1.18681i | ||||
\(537\) | −0.400252 | + | 22.1659i | −0.0172722 | + | 0.956531i | ||||
\(538\) | 18.2079 | − | 31.5370i | 0.784999 | − | 1.35966i | ||||
\(539\) | 26.8415 | + | 14.8574i | 1.15614 | + | 0.639951i | ||||
\(540\) | 20.2609 | − | 8.49970i | 0.871892 | − | 0.365769i | ||||
\(541\) | −17.7874 | + | 14.5642i | −0.764742 | + | 0.626164i | −0.933123 | − | 0.359558i | \(-0.882928\pi\) |
0.168381 | + | 0.985722i | \(0.446146\pi\) | |||||||
\(542\) | −0.256750 | + | 0.409787i | −0.0110283 | + | 0.0176019i | ||||
\(543\) | 13.0399 | + | 11.4878i | 0.559594 | + | 0.492989i | ||||
\(544\) | 0.491105 | + | 0.670841i | 0.0210560 | + | 0.0287621i | ||||
\(545\) | 3.86496 | + | 6.16869i | 0.165557 | + | 0.264238i | ||||
\(546\) | −13.3300 | + | 104.908i | −0.570471 | + | 4.48967i | ||||
\(547\) | 8.37233 | + | 1.52828i | 0.357975 | + | 0.0653445i | 0.355562 | − | 0.934653i | \(-0.384289\pi\) |
0.00241285 | + | 0.999997i | \(0.499232\pi\) | |||||||
\(548\) | −33.1303 | + | 13.8985i | −1.41526 | + | 0.593716i | ||||
\(549\) | 0.0109805 | + | 0.0139158i | 0.000468636 | + | 0.000593910i | ||||
\(550\) | 23.9486 | + | 10.0467i | 1.02117 | + | 0.428393i | ||||
\(551\) | −69.6318 | + | 20.6943i | −2.96641 | + | 0.881605i | ||||
\(552\) | 55.9497 | − | 33.6638i | 2.38138 | − | 1.43283i | ||||
\(553\) | 6.52640 | − | 7.14386i | 0.277531 | − | 0.303788i | ||||
\(554\) | −22.2860 | − | 50.5455i | −0.946840 | − | 2.14747i | ||||
\(555\) | 4.47241 | − | 10.1436i | 0.189843 | − | 0.430573i | ||||
\(556\) | −4.06326 | − | 4.44768i | −0.172320 | − | 0.188624i | ||||
\(557\) | −42.2980 | − | 12.5708i | −1.79222 | − | 0.532642i | −0.794968 | − | 0.606652i | \(-0.792512\pi\) |
−0.997257 | + | 0.0740104i | \(0.976420\pi\) | |||||||
\(558\) | −2.96951 | − | 2.61607i | −0.125709 | − | 0.110747i | ||||
\(559\) | 9.38320 | − | 1.02048i | 0.396867 | − | 0.0431619i | ||||
\(560\) | −1.54297 | + | 17.0453i | −0.0652022 | + | 0.720294i | ||||
\(561\) | 1.63424 | − | 6.83426i | 0.0689975 | − | 0.288543i | ||||
\(562\) | −10.7014 | −0.451410 | ||||||||
\(563\) | 7.27337 | − | 30.4167i | 0.306536 | − | 1.28191i | −0.578229 | − | 0.815874i | \(-0.696256\pi\) |
0.884765 | − | 0.466037i | \(-0.154319\pi\) | |||||||
\(564\) | −9.32250 | − | 26.1011i | −0.392548 | − | 1.09905i | ||||
\(565\) | 14.2335 | + | 4.79582i | 0.598807 | + | 0.201761i | ||||
\(566\) | −2.83296 | − | 4.52156i | −0.119078 | − | 0.190055i | ||||
\(567\) | 6.56113 | − | 40.0211i | 0.275542 | − | 1.68073i | ||||
\(568\) | −6.84807 | + | 34.0261i | −0.287339 | + | 1.42770i | ||||
\(569\) | 11.8857 | + | 24.5190i | 0.498276 | + | 1.02789i | 0.987775 | + | 0.155887i | \(0.0498234\pi\) |
−0.489499 | + | 0.872004i | \(0.662820\pi\) | |||||||
\(570\) | −38.6210 | − | 5.61758i | −1.61766 | − | 0.235295i | ||||
\(571\) | −17.2751 | + | 7.99229i | −0.722938 | + | 0.334467i | −0.746618 | − | 0.665253i | \(-0.768324\pi\) |
0.0236799 | + | 0.999720i | \(0.492462\pi\) | |||||||
\(572\) | −62.6972 | + | 13.8007i | −2.62150 | + | 0.577036i | ||||
\(573\) | 3.60385 | − | 3.41375i | 0.150553 | − | 0.142611i | ||||
\(574\) | 19.4057 | − | 54.3321i | 0.809980 | − | 2.26778i | ||||
\(575\) | −14.4425 | − | 25.0151i | −0.602292 | − | 1.04320i | ||||
\(576\) | 0.967298 | − | 1.67541i | 0.0403041 | − | 0.0698087i | ||||
\(577\) | 18.2253 | + | 21.4565i | 0.758730 | + | 0.893246i | 0.996956 | − | 0.0779639i | \(-0.0248419\pi\) |
−0.238226 | + | 0.971210i | \(0.576566\pi\) | |||||||
\(578\) | −25.7894 | − | 26.2593i | −1.07270 | − | 1.09224i | ||||
\(579\) | −4.32611 | + | 21.4952i | −0.179787 | + | 0.893309i | ||||
\(580\) | −39.9038 | − | 4.33980i | −1.65691 | − | 0.180200i | ||||
\(581\) | −12.1134 | − | 13.2595i | −0.502550 | − | 0.550096i | ||||
\(582\) | 46.2720 | + | 17.4752i | 1.91804 | + | 0.724370i | ||||
\(583\) | 2.44930 | + | 8.82158i | 0.101440 | + | 0.365352i | ||||
\(584\) | −6.30432 | − | 2.64474i | −0.260875 | − | 0.109440i | ||||
\(585\) | −1.19188 | − | 0.777081i | −0.0492783 | − | 0.0321284i | ||||
\(586\) | −4.80436 | + | 13.4512i | −0.198466 | + | 0.555665i | ||||
\(587\) | −25.2957 | + | 32.0577i | −1.04407 | + | 1.32316i | −0.0994291 | + | 0.995045i | \(0.531702\pi\) |
−0.944637 | + | 0.328118i | \(0.893586\pi\) | |||||||
\(588\) | 60.6843 | + | 46.1310i | 2.50258 | + | 1.90241i | ||||
\(589\) | −17.6457 | − | 55.6727i | −0.727077 | − | 2.29395i | ||||
\(590\) | −12.2409 | + | 1.78049i | −0.503950 | + | 0.0733016i | ||||
\(591\) | 2.60272 | + | 10.8844i | 0.107061 | + | 0.447723i | ||||
\(592\) | −4.65422 | − | 19.4636i | −0.191287 | − | 0.799950i | ||||
\(593\) | 11.8411 | − | 7.72013i | 0.486256 | − | 0.317028i | −0.279515 | − | 0.960141i | \(-0.590174\pi\) |
0.765771 | + | 0.643113i | \(0.222358\pi\) | |||||||
\(594\) | 33.9962 | − | 6.20563i | 1.39488 | − | 0.254620i | ||||
\(595\) | −0.351729 | − | 6.48727i | −0.0144195 | − | 0.265952i | ||||
\(596\) | −15.3254 | + | 55.1972i | −0.627754 | + | 2.26096i | ||||
\(597\) | −10.1587 | + | 9.62280i | −0.415767 | + | 0.393835i | ||||
\(598\) | 97.7225 | + | 45.2112i | 3.99617 | + | 1.84882i | ||||
\(599\) | 0.789181 | − | 0.234541i | 0.0322451 | − | 0.00958309i | −0.268718 | − | 0.963219i | \(-0.586600\pi\) |
0.300963 | + | 0.953636i | \(0.402692\pi\) | |||||||
\(600\) | 27.2038 | + | 16.3680i | 1.11059 | + | 0.668219i | ||||
\(601\) | 24.6821 | + | 6.37530i | 1.00680 | + | 0.260054i | 0.717031 | − | 0.697041i | \(-0.245501\pi\) |
0.289773 | + | 0.957095i | \(0.406420\pi\) | |||||||
\(602\) | 6.82506 | − | 15.4795i | 0.278169 | − | 0.630898i | ||||
\(603\) | 1.55869 | + | 0.0563092i | 0.0634748 | + | 0.00229309i | ||||
\(604\) | 10.2016 | + | 21.0449i | 0.415099 | + | 0.856305i | ||||
\(605\) | 2.66302 | + | 1.87663i | 0.108267 | + | 0.0762960i | ||||
\(606\) | 50.7788 | − | 38.6011i | 2.06275 | − | 1.56806i | ||||
\(607\) | −0.498795 | + | 27.6232i | −0.0202455 | + | 1.12119i | 0.817770 | + | 0.575545i | \(0.195210\pi\) |
−0.838016 | + | 0.545646i | \(0.816284\pi\) | |||||||
\(608\) | 4.21366 | − | 2.33236i | 0.170887 | − | 0.0945896i | ||||
\(609\) | −42.7193 | + | 54.1389i | −1.73107 | + | 2.19382i | ||||
\(610\) | −0.0583143 | + | 0.210029i | −0.00236108 | + | 0.00850383i | ||||
\(611\) | 13.2828 | − | 18.1441i | 0.537365 | − | 0.734031i | ||||
\(612\) | 0.444814 | − | 1.11640i | 0.0179805 | − | 0.0451278i | ||||
\(613\) | 0.668585 | + | 7.38591i | 0.0270039 | + | 0.298314i | 0.998197 | + | 0.0600207i | \(0.0191167\pi\) |
−0.971193 | + | 0.238293i | \(0.923412\pi\) | |||||||
\(614\) | −16.7380 | − | 11.7953i | −0.675491 | − | 0.476020i | ||||
\(615\) | 7.90210 | + | 8.04608i | 0.318643 | + | 0.324449i | ||||
\(616\) | −17.1052 | + | 53.9674i | −0.689187 | + | 2.17441i | ||||
\(617\) | 4.15105 | − | 32.6692i | 0.167115 | − | 1.31521i | −0.659184 | − | 0.751982i | \(-0.729098\pi\) |
0.826299 | − | 0.563231i | \(-0.190442\pi\) | |||||||
\(618\) | −0.0515148 | + | 0.950135i | −0.00207223 | + | 0.0382200i | ||||
\(619\) | 31.4661 | − | 37.0447i | 1.26473 | − | 1.48895i | 0.469127 | − | 0.883131i | \(-0.344569\pi\) |
0.795600 | − | 0.605822i | \(-0.207156\pi\) | |||||||
\(620\) | 2.90931 | − | 32.1394i | 0.116841 | − | 1.29075i | ||||
\(621\) | −34.2781 | − | 17.3877i | −1.37553 | − | 0.697743i | ||||
\(622\) | −23.8174 | − | 66.6837i | −0.954990 | − | 2.67377i | ||||
\(623\) | −41.8928 | + | 49.3200i | −1.67840 | + | 1.97596i | ||||
\(624\) | −37.2195 | + | 2.69269i | −1.48997 | + | 0.107794i | ||||
\(625\) | 4.13192 | − | 6.59477i | 0.165277 | − | 0.263791i | ||||
\(626\) | −39.2513 | − | 32.1386i | −1.56880 | − | 1.28452i | ||||
\(627\) | −38.0805 | − | 14.3816i | −1.52079 | − | 0.574345i | ||||
\(628\) | 84.6429 | + | 21.8630i | 3.37762 | + | 0.872428i | ||||
\(629\) | 2.81181 | + | 7.05710i | 0.112114 | + | 0.281385i | ||||
\(630\) | −2.27437 | + | 1.15368i | −0.0906129 | + | 0.0459637i | ||||
\(631\) | 22.1669 | + | 20.9976i | 0.882451 | + | 0.835902i | 0.987346 | − | 0.158582i | \(-0.0506921\pi\) |
−0.104895 | + | 0.994483i | \(0.533451\pi\) | |||||||
\(632\) | 9.27867 | + | 5.58279i | 0.369086 | + | 0.222071i | ||||
\(633\) | 3.43816 | + | 12.3831i | 0.136655 | + | 0.492185i | ||||
\(634\) | −49.4153 | + | 16.6500i | −1.96253 | + | 0.661254i | ||||
\(635\) | 11.3980 | − | 9.33262i | 0.452317 | − | 0.370354i | ||||
\(636\) | 2.86737 | + | 22.5665i | 0.113699 | + | 0.894821i | ||||
\(637\) | −3.34821 | + | 61.7541i | −0.132661 | + | 2.44679i | ||||
\(638\) | −59.8277 | − | 20.1583i | −2.36860 | − | 0.798075i | ||||
\(639\) | −1.52556 | + | 0.576146i | −0.0603502 | + | 0.0227920i | ||||
\(640\) | 22.3058 | − | 2.42590i | 0.881713 | − | 0.0958920i | ||||
\(641\) | 20.2431 | − | 1.46452i | 0.799555 | − | 0.0578449i | 0.333670 | − | 0.942690i | \(-0.391713\pi\) |
0.465885 | + | 0.884845i | \(0.345736\pi\) | |||||||
\(642\) | −2.08763 | − | 16.4298i | −0.0823920 | − | 0.648434i | ||||
\(643\) | 19.9009 | + | 3.63269i | 0.784814 | + | 0.143259i | 0.557074 | − | 0.830463i | \(-0.311924\pi\) |
0.227740 | + | 0.973722i | \(0.426866\pi\) | |||||||
\(644\) | 104.613 | − | 73.7210i | 4.12233 | − | 2.90502i | ||||
\(645\) | 2.14083 | + | 2.52038i | 0.0842951 | + | 0.0992398i | ||||
\(646\) | 21.2906 | − | 16.1847i | 0.837666 | − | 0.636777i | ||||
\(647\) | 5.00980 | + | 24.8922i | 0.196955 | + | 0.978614i | 0.947978 | + | 0.318337i | \(0.103124\pi\) |
−0.751022 | + | 0.660277i | \(0.770439\pi\) | |||||||
\(648\) | 45.3564 | − | 1.63854i | 1.78177 | − | 0.0643680i | ||||
\(649\) | −12.8680 | − | 0.930955i | −0.505114 | − | 0.0365432i | ||||
\(650\) | 2.83434 | + | 52.2764i | 0.111172 | + | 2.05045i | ||||
\(651\) | −44.1393 | − | 33.5538i | −1.72996 | − | 1.31508i | ||||
\(652\) | −19.8605 | + | 40.9702i | −0.777799 | + | 1.60452i | ||||
\(653\) | −1.69357 | + | 2.49783i | −0.0662746 | + | 0.0977478i | −0.859382 | − | 0.511334i | \(-0.829152\pi\) |
0.793107 | + | 0.609082i | \(0.208462\pi\) | |||||||
\(654\) | 5.61294 | + | 27.8891i | 0.219483 | + | 1.09055i | ||||
\(655\) | 0.892494 | + | 9.85945i | 0.0348726 | + | 0.385241i | ||||
\(656\) | 20.1464 | + | 2.93038i | 0.786585 | + | 0.114412i | ||||
\(657\) | −0.0519658 | − | 0.316978i | −0.00202738 | − | 0.0123665i | ||||
\(658\) | −16.2601 | − | 36.8786i | −0.633884 | − | 1.43768i | ||||
\(659\) | −0.981830 | − | 2.46421i | −0.0382467 | − | 0.0959919i | 0.908613 | − | 0.417640i | \(-0.137143\pi\) |
−0.946859 | + | 0.321648i | \(0.895763\pi\) | |||||||
\(660\) | −16.3294 | − | 15.4680i | −0.635621 | − | 0.602092i | ||||
\(661\) | 6.21110 | − | 3.73710i | 0.241584 | − | 0.145356i | −0.389613 | − | 0.920978i | \(-0.627391\pi\) |
0.631197 | + | 0.775622i | \(0.282564\pi\) | |||||||
\(662\) | 63.8741 | + | 14.0597i | 2.48254 | + | 0.546447i | ||||
\(663\) | 13.8342 | − | 3.04513i | 0.537275 | − | 0.118263i | ||||
\(664\) | 11.8724 | − | 16.2175i | 0.460740 | − | 0.629362i | ||||
\(665\) | −37.5366 | − | 2.71564i | −1.45561 | − | 0.105308i | ||||
\(666\) | 2.08945 | − | 2.12752i | 0.0809645 | − | 0.0824397i | ||||
\(667\) | 39.4049 | + | 58.1179i | 1.52576 | + | 2.25033i | ||||
\(668\) | −12.9794 | + | 1.88791i | −0.502190 | + | 0.0730455i | ||||
\(669\) | −10.7837 | + | 7.03071i | −0.416921 | + | 0.271823i | ||||
\(670\) | 10.7632 | + | 15.8745i | 0.415817 | + | 0.613285i | ||||
\(671\) | −0.106492 | + | 0.200865i | −0.00411107 | + | 0.00775429i | ||||
\(672\) | 1.99443 | − | 4.11430i | 0.0769370 | − | 0.158713i | ||||
\(673\) | −29.5524 | + | 16.3579i | −1.13916 | + | 0.630552i | −0.937183 | − | 0.348838i | \(-0.886576\pi\) |
−0.201979 | + | 0.979390i | \(0.564737\pi\) | |||||||
\(674\) | −10.6112 | − | 18.3792i | −0.408730 | − | 0.707941i | ||||
\(675\) | −0.337400 | − | 18.6852i | −0.0129865 | − | 0.719193i | ||||
\(676\) | −48.4614 | − | 61.4160i | −1.86390 | − | 2.36215i | ||||
\(677\) | −3.91856 | + | 1.32032i | −0.150602 | + | 0.0507439i | −0.393593 | − | 0.919285i | \(-0.628768\pi\) |
0.242991 | + | 0.970029i | \(0.421872\pi\) | |||||||
\(678\) | 45.4156 | + | 37.1859i | 1.74417 | + | 1.42812i | ||||
\(679\) | 45.7205 | + | 13.5879i | 1.75459 | + | 0.521457i | ||||
\(680\) | 7.03959 | − | 1.81830i | 0.269956 | − | 0.0697287i | ||||
\(681\) | 3.87836 | − | 23.6570i | 0.148619 | − | 0.906537i | ||||
\(682\) | 15.3357 | − | 48.3848i | 0.587236 | − | 1.85275i | ||||
\(683\) | 10.3914 | − | 7.32281i | 0.397614 | − | 0.280200i | −0.359935 | − | 0.932977i | \(-0.617201\pi\) |
0.757549 | + | 0.652778i | \(0.226397\pi\) | |||||||
\(684\) | −6.09072 | − | 3.37135i | −0.232885 | − | 0.128907i | ||||
\(685\) | −0.184378 | − | 10.2108i | −0.00704472 | − | 0.390136i | ||||
\(686\) | 32.5987 | + | 21.2536i | 1.24462 | + | 0.811466i | ||||
\(687\) | 42.7787 | + | 19.7915i | 1.63211 | + | 0.755093i | ||||
\(688\) | 5.83008 | + | 1.28330i | 0.222270 | + | 0.0489253i | ||||
\(689\) | −13.8483 | + | 12.2001i | −0.527579 | + | 0.464785i | ||||
\(690\) | 6.10318 | + | 37.2277i | 0.232344 | + | 1.41724i | ||||
\(691\) | 21.4853 | + | 0.776177i | 0.817339 | + | 0.0295272i | 0.441615 | − | 0.897205i | \(-0.354406\pi\) |
0.375724 | + | 0.926732i | \(0.377394\pi\) | |||||||
\(692\) | 84.3372 | + | 9.17223i | 3.20602 | + | 0.348676i | ||||
\(693\) | −2.57538 | + | 0.665213i | −0.0978307 | + | 0.0252693i | ||||
\(694\) | 10.3740 | + | 14.1707i | 0.393791 | + | 0.537912i | ||||
\(695\) | 1.60198 | − | 0.605008i | 0.0607667 | − | 0.0229493i | ||||
\(696\) | −68.8290 | − | 34.9137i | −2.60896 | − | 1.32340i | ||||
\(697\) | −7.72800 | −0.292719 | ||||||||
\(698\) | 44.6206 | − | 9.00178i | 1.68891 | − | 0.340722i | ||||
\(699\) | 15.9496 | 0.603268 | ||||||||
\(700\) | 55.4945 | + | 28.1498i | 2.09750 | + | 1.06396i | ||||
\(701\) | −30.9265 | + | 11.6798i | −1.16808 | + | 0.441139i | −0.860035 | − | 0.510234i | \(-0.829559\pi\) |
−0.308042 | + | 0.951373i | \(0.599674\pi\) | |||||||
\(702\) | 41.1508 | + | 56.2112i | 1.55314 | + | 2.12155i | ||||
\(703\) | 42.6076 | − | 11.0054i | 1.60697 | − | 0.415076i | ||||
\(704\) | 24.6667 | + | 2.68267i | 0.929662 | + | 0.101107i | ||||
\(705\) | 7.87321 | + | 0.284427i | 0.296522 | + | 0.0107121i | ||||
\(706\) | −3.46448 | − | 21.1324i | −0.130387 | − | 0.795328i | ||||
\(707\) | 46.1532 | − | 40.6599i | 1.73577 | − | 1.52917i | ||||
\(708\) | −31.3070 | − | 6.89120i | −1.17659 | − | 0.258987i | ||||
\(709\) | −47.4407 | − | 21.9484i | −1.78167 | − | 0.824290i | −0.971108 | − | 0.238640i | \(-0.923298\pi\) |
−0.810565 | − | 0.585649i | \(-0.800840\pi\) | |||||||
\(710\) | −16.7978 | − | 10.9518i | −0.630409 | − | 0.411012i | ||||
\(711\) | 0.00918548 | + | 0.508691i | 0.000344483 | + | 0.0190774i | ||||
\(712\) | −63.3596 | − | 35.0710i | −2.37450 | − | 1.31434i | ||||
\(713\) | −46.1458 | + | 32.5190i | −1.72817 | + | 1.21785i | ||||
\(714\) | 7.67122 | − | 24.2030i | 0.287088 | − | 0.905773i | ||||
\(715\) | 2.95228 | − | 18.0081i | 0.110409 | − | 0.673465i | ||||
\(716\) | −47.0821 | + | 12.1611i | −1.75954 | + | 0.454483i | ||||
\(717\) | 1.09689 | + | 0.325990i | 0.0409640 | + | 0.0121743i | ||||
\(718\) | −19.7962 | − | 16.2090i | −0.738789 | − | 0.604915i | ||||
\(719\) | 1.00511 | − | 0.338660i | 0.0374842 | − | 0.0126299i | −0.300497 | − | 0.953783i | \(-0.597153\pi\) |
0.337981 | + | 0.941153i | \(0.390256\pi\) | |||||||
\(720\) | −0.557445 | − | 0.706459i | −0.0207747 | − | 0.0263282i | ||||
\(721\) | 0.0165660 | + | 0.917426i | 0.000616952 | + | 0.0341667i | ||||
\(722\) | −54.3133 | − | 94.0734i | −2.02133 | − | 3.50105i | ||||
\(723\) | 10.7755 | − | 5.96446i | 0.400744 | − | 0.221821i | ||||
\(724\) | −16.6274 | + | 34.3005i | −0.617952 | + | 1.27477i | ||||
\(725\) | −15.9918 | + | 30.1638i | −0.593922 | + | 1.12026i | ||||
\(726\) | 7.14483 | + | 10.5378i | 0.265169 | + | 0.391096i | ||||
\(727\) | 8.13901 | − | 5.30645i | 0.301859 | − | 0.196805i | −0.386285 | − | 0.922380i | \(-0.626242\pi\) |
0.688144 | + | 0.725574i | \(0.258426\pi\) | |||||||
\(728\) | −112.936 | + | 16.4270i | −4.18570 | + | 0.608827i | ||||
\(729\) | −13.8726 | − | 20.4605i | −0.513799 | − | 0.757798i | ||||
\(730\) | 2.76761 | − | 2.81804i | 0.102434 | − | 0.104300i | ||||
\(731\) | −2.26015 | − | 0.163514i | −0.0835948 | − | 0.00604778i | ||||
\(732\) | −0.333680 | + | 0.455801i | −0.0123332 | + | 0.0168469i | ||||
\(733\) | 0.850603 | − | 0.187232i | 0.0314177 | − | 0.00691557i | −0.199234 | − | 0.979952i | \(-0.563845\pi\) |
0.230651 | + | 0.973036i | \(0.425914\pi\) | |||||||
\(734\) | −3.23603 | − | 0.712304i | −0.119444 | − | 0.0262916i | ||||
\(735\) | −18.5663 | + | 11.1710i | −0.684829 | + | 0.412048i | ||||
\(736\) | −3.37976 | − | 3.20148i | −0.124579 | − | 0.118008i | ||||
\(737\) | 7.40426 | + | 18.5833i | 0.272740 | + | 0.684525i | ||||
\(738\) | 1.22383 | + | 2.77571i | 0.0450499 | + | 0.102175i | ||||
\(739\) | −6.19144 | − | 37.7661i | −0.227756 | − | 1.38925i | −0.814823 | − | 0.579710i | \(-0.803166\pi\) |
0.587067 | − | 0.809538i | \(-0.300283\pi\) | |||||||
\(740\) | 24.0628 | + | 3.50002i | 0.884564 | + | 0.128663i | ||||
\(741\) | −7.39772 | − | 81.7232i | −0.271762 | − | 3.00218i | ||||
\(742\) | 6.52674 | + | 32.4294i | 0.239604 | + | 1.19052i | ||||
\(743\) | 3.47861 | − | 5.13056i | 0.127618 | − | 0.188222i | −0.758512 | − | 0.651659i | \(-0.774073\pi\) |
0.886130 | + | 0.463437i | \(0.153384\pi\) | |||||||
\(744\) | 27.0661 | − | 55.8346i | 0.992293 | − | 2.04699i | ||||
\(745\) | −12.9632 | − | 9.85435i | −0.474934 | − | 0.361036i | ||||
\(746\) | 1.62114 | + | 29.9001i | 0.0593540 | + | 1.09472i | ||||
\(747\) | 0.941857 | + | 0.0681399i | 0.0344608 | + | 0.00249311i | ||||
\(748\) | 15.4030 | − | 0.556449i | 0.563190 | − | 0.0203458i | ||||
\(749\) | −3.15112 | − | 15.6570i | −0.115139 | − | 0.572093i | ||||
\(750\) | −34.0846 | + | 25.9104i | −1.24459 | + | 0.946114i | ||||
\(751\) | −19.3651 | − | 22.7984i | −0.706644 | − | 0.831926i | 0.285322 | − | 0.958432i | \(-0.407899\pi\) |
−0.991966 | + | 0.126506i | \(0.959624\pi\) | |||||||
\(752\) | 11.6255 | − | 8.19251i | 0.423938 | − | 0.298750i | ||||
\(753\) | −12.9135 | − | 2.35722i | −0.470594 | − | 0.0859018i | ||||
\(754\) | −16.0419 | − | 126.252i | −0.584212 | − | 4.59781i | ||||
\(755\) | −6.63056 | + | 0.479697i | −0.241311 | + | 0.0174579i | ||||
\(756\) | 82.3158 | − | 8.95239i | 2.99380 | − | 0.325595i | ||||
\(757\) | −39.2124 | + | 14.8090i | −1.42520 | + | 0.538243i | −0.941506 | − | 0.336995i | \(-0.890589\pi\) |
−0.483692 | + | 0.875238i | \(0.660704\pi\) | |||||||
\(758\) | −61.1819 | − | 20.6146i | −2.22223 | − | 0.748756i | ||||
\(759\) | −2.13020 | + | 39.2893i | −0.0773215 | + | 1.42611i | ||||
\(760\) | −5.30889 | − | 41.7815i | −0.192574 | − | 1.51557i | ||||
\(761\) | −13.8740 | + | 11.3599i | −0.502931 | + | 0.411796i | −0.850593 | − | 0.525824i | \(-0.823757\pi\) |
0.347663 | + | 0.937620i | \(0.386975\pi\) | |||||||
\(762\) | 54.5568 | − | 18.3823i | 1.97638 | − | 0.665921i | ||||
\(763\) | 7.33913 | + | 26.4332i | 0.265694 | + | 0.956945i | ||||
\(764\) | 9.32964 | + | 5.61346i | 0.337534 | + | 0.203088i | ||||
\(765\) | 0.248001 | + | 0.234919i | 0.00896650 | + | 0.00849352i | ||||
\(766\) | 42.4280 | − | 21.5217i | 1.53299 | − | 0.777612i | ||||
\(767\) | −9.62656 | − | 24.1608i | −0.347595 | − | 0.872397i | ||||
\(768\) | 54.5760 | + | 14.0968i | 1.96934 | + | 0.508674i | ||||
\(769\) | 18.5680 | + | 7.01245i | 0.669581 | + | 0.252875i | 0.664697 | − | 0.747113i | \(-0.268560\pi\) |
0.00488341 | + | 0.999988i | \(0.498446\pi\) | |||||||
\(770\) | −25.3071 | − | 20.7213i | −0.912005 | − | 0.746742i | ||||
\(771\) | 18.9639 | − | 30.2674i | 0.682968 | − | 1.09005i | ||||
\(772\) | −47.9682 | + | 3.47032i | −1.72641 | + | 0.124900i | ||||
\(773\) | −30.2467 | + | 35.6092i | −1.08790 | + | 1.28077i | −0.130674 | + | 0.991425i | \(0.541714\pi\) |
−0.957224 | + | 0.289347i | \(0.906562\pi\) | |||||||
\(774\) | 0.299196 | + | 0.837687i | 0.0107544 | + | 0.0301100i | ||||
\(775\) | −24.4791 | − | 12.4171i | −0.879316 | − | 0.446036i | ||||
\(776\) | −4.81220 | + | 53.1607i | −0.172748 | + | 1.90836i | ||||
\(777\) | 27.0462 | − | 31.8413i | 0.970279 | − | 1.14230i | ||||
\(778\) | 0.283218 | − | 5.22365i | 0.0101539 | − | 0.187277i | ||||
\(779\) | −5.64285 | + | 44.4098i | −0.202176 | + | 1.59115i | ||||
\(780\) | 13.6996 | − | 43.2226i | 0.490523 | − | 1.54762i | ||||
\(781\) | −14.6550 | − | 14.9220i | −0.524396 | − | 0.533950i | ||||
\(782\) | −21.1313 | − | 14.8912i | −0.755653 | − | 0.532510i | ||||
\(783\) | 4.09563 | + | 45.2447i | 0.146366 | + | 1.61691i | ||||
\(784\) | −14.4781 | + | 36.3373i | −0.517075 | + | 1.29776i | ||||
\(785\) | −14.6788 | + | 20.0509i | −0.523907 | + | 0.715648i | ||||
\(786\) | −10.3503 | + | 37.2782i | −0.369181 | + | 1.32967i | ||||
\(787\) | −2.32955 | + | 2.95227i | −0.0830393 | + | 0.105237i | −0.824792 | − | 0.565437i | \(-0.808708\pi\) |
0.741752 | + | 0.670674i | \(0.233995\pi\) | |||||||
\(788\) | −21.4766 | + | 11.8878i | −0.765072 | + | 0.423485i | ||||
\(789\) | −0.0599164 | + | 3.31817i | −0.00213308 | + | 0.118130i | ||||
\(790\) | −4.98055 | + | 3.78612i | −0.177200 | + | 0.134704i | ||||
\(791\) | 46.2683 | + | 32.6053i | 1.64511 | + | 1.15931i | ||||
\(792\) | −1.29847 | − | 2.67860i | −0.0461391 | − | 0.0951799i | ||||
\(793\) | −0.458004 | − | 0.0165458i | −0.0162642 | − | 0.000587560i | ||||
\(794\) | −24.2150 | + | 54.9206i | −0.859358 | + | 1.94906i | ||||
\(795\) | −6.26070 | − | 1.61712i | −0.222044 | − | 0.0573532i | ||||
\(796\) | −26.2987 | − | 15.8234i | −0.932134 | − | 0.560846i | ||||
\(797\) | −6.16441 | + | 1.83204i | −0.218355 | + | 0.0648941i | −0.392204 | − | 0.919878i | \(-0.628287\pi\) |
0.173850 | + | 0.984772i | \(0.444379\pi\) | |||||||
\(798\) | −133.484 | − | 61.7561i | −4.72527 | − | 2.18614i | ||||
\(799\) | −3.91942 | + | 3.71267i | −0.138659 | + | 0.131345i | ||||
\(800\) | 0.605553 | − | 2.18101i | 0.0214095 | − | 0.0771102i | ||||
\(801\) | −0.184207 | − | 3.39750i | −0.00650863 | − | 0.120045i | ||||
\(802\) | −17.2778 | + | 3.15387i | −0.610099 | + | 0.111367i | ||||
\(803\) | 3.45099 | − | 2.24997i | 0.121783 | − | 0.0793996i | ||||
\(804\) | 11.5595 | + | 48.3408i | 0.407671 | + | 1.70485i | ||||
\(805\) | 8.46046 | + | 35.3810i | 0.298192 | + | 1.24702i | ||||
\(806\) | 101.254 | − | 14.7278i | 3.56651 | − | 0.518763i | ||||
\(807\) | 8.10513 | + | 25.5720i | 0.285314 | + | 0.900176i | ||||
\(808\) | 54.7993 | + | 41.6573i | 1.92783 | + | 1.46550i | ||||
\(809\) | 8.10792 | − | 10.2753i | 0.285059 | − | 0.361261i | −0.621444 | − | 0.783458i | \(-0.713454\pi\) |
0.906504 | + | 0.422198i | \(0.138741\pi\) | |||||||
\(810\) | −8.81984 | + | 24.6937i | −0.309897 | + | 0.867648i | ||||
\(811\) | −21.3357 | − | 13.9104i | −0.749199 | − | 0.488461i | 0.113902 | − | 0.993492i | \(-0.463665\pi\) |
−0.863101 | + | 0.505031i | \(0.831481\pi\) | |||||||
\(812\) | −139.489 | − | 58.5174i | −4.89511 | − | 2.05356i | ||||
\(813\) | −0.0953007 | − | 0.343242i | −0.00334234 | − | 0.0120380i | ||||
\(814\) | 35.7787 | + | 13.5123i | 1.25404 | + | 0.473605i | ||||
\(815\) | −8.72918 | − | 9.55505i | −0.305770 | − | 0.334699i | ||||
\(816\) | 8.90672 | + | 0.968665i | 0.311798 | + | 0.0339100i | ||||
\(817\) | −2.58998 | + | 12.8688i | −0.0906119 | + | 0.450224i | ||||
\(818\) | 26.1464 | + | 26.6228i | 0.914187 | + | 0.930844i | ||||
\(819\) | −3.47129 | − | 4.08672i | −0.121297 | − | 0.142802i | ||||
\(820\) | −12.3682 | + | 21.4224i | −0.431917 | + | 0.748102i | ||||
\(821\) | −24.6966 | − | 42.7757i | −0.861916 | − | 1.49288i | −0.870077 | − | 0.492915i | \(-0.835931\pi\) |
0.00816178 | − | 0.999967i | \(-0.497402\pi\) | |||||||
\(822\) | 13.4243 | − | 37.5852i | 0.468226 | − | 1.31093i | ||||
\(823\) | −11.7415 | + | 11.1221i | −0.409282 | + | 0.387692i | −0.864455 | − | 0.502711i | \(-0.832336\pi\) |
0.455173 | + | 0.890403i | \(0.349577\pi\) | |||||||
\(824\) | −1.00286 | + | 0.220746i | −0.0349363 | + | 0.00769006i | ||||
\(825\) | −17.3630 | + | 8.03299i | −0.604503 | + | 0.279673i | ||||
\(826\) | −46.1306 | − | 6.70988i | −1.60509 | − | 0.233467i | ||||
\(827\) | 1.92402 | + | 3.96904i | 0.0669046 | + | 0.138017i | 0.930649 | − | 0.365913i | \(-0.119243\pi\) |
−0.863744 | + | 0.503930i | \(0.831887\pi\) | |||||||
\(828\) | −1.32768 | + | 6.59687i | −0.0461402 | + | 0.229257i | ||||
\(829\) | 4.56150 | − | 27.8239i | 0.158428 | − | 0.966365i | −0.781229 | − | 0.624245i | \(-0.785407\pi\) |
0.939656 | − | 0.342120i | \(-0.111145\pi\) | |||||||
\(830\) | 6.16528 | + | 9.84013i | 0.214000 | + | 0.341556i | ||||
\(831\) | 38.5628 | + | 12.9933i | 1.33773 | + | 0.450733i | ||||
\(832\) | 16.8240 | + | 47.1037i | 0.583267 | + | 1.63303i | ||||
\(833\) | 3.45318 | − | 14.4410i | 0.119646 | − | 0.500350i | ||||
\(834\) | 6.69216 | 0.231731 | ||||||||
\(835\) | 0.867074 | − | 3.62604i | 0.0300063 | − | 0.125484i | ||||
\(836\) | 8.04933 | − | 88.9216i | 0.278392 | − | 3.07542i | ||||
\(837\) | −36.3102 | + | 3.94897i | −1.25506 | + | 0.136497i | ||||
\(838\) | 23.3787 | + | 20.5961i | 0.807605 | + | 0.711482i | ||||
\(839\) | −1.55315 | − | 0.461591i | −0.0536208 | − | 0.0159359i | 0.257959 | − | 0.966156i | \(-0.416950\pi\) |
−0.311580 | + | 0.950220i | \(0.600858\pi\) | |||||||
\(840\) | −26.9689 | − | 29.5204i | −0.930516 | − | 1.01855i | ||||
\(841\) | 21.7830 | − | 49.4047i | 0.751137 | − | 1.70361i | ||||
\(842\) | −38.9134 | − | 88.2573i | −1.34105 | − | 3.04155i | ||||
\(843\) | 5.31703 | − | 5.82008i | 0.183128 | − | 0.200454i | ||||
\(844\) | −24.1540 | + | 14.5330i | −0.831413 | + | 0.500245i | ||||
\(845\) | 21.3165 | − | 6.33518i | 0.733311 | − | 0.217937i | ||||
\(846\) | 1.95420 | + | 0.819808i | 0.0671866 | + | 0.0281856i | ||||
\(847\) | 7.60516 | + | 9.63815i | 0.261316 | + | 0.331171i | ||||
\(848\) | −10.7641 | + | 4.51565i | −0.369639 | + | 0.155068i | ||||
\(849\) | 3.86669 | + | 0.705822i | 0.132704 | + | 0.0242237i | ||||
\(850\) | 1.58435 | − | 12.4690i | 0.0543429 | − | 0.427684i | ||||
\(851\) | −22.5846 | − | 36.0463i | −0.774190 | − | 1.23565i | ||||
\(852\) | −30.6970 | − | 41.9315i | −1.05166 | − | 1.43655i | ||||
\(853\) | 26.1235 | + | 23.0142i | 0.894453 | + | 0.787993i | 0.978020 | − | 0.208509i | \(-0.0668612\pi\) |
−0.0835671 | + | 0.996502i | \(0.526631\pi\) | |||||||
\(854\) | −0.436140 | + | 0.696104i | −0.0149244 | + | 0.0238202i | ||||
\(855\) | 1.53108 | − | 1.25363i | 0.0523617 | − | 0.0428734i | ||||
\(856\) | 16.4817 | − | 6.91425i | 0.563332 | − | 0.236324i | ||||
\(857\) | −37.6458 | − | 20.8378i | −1.28596 | − | 0.711805i | −0.314552 | − | 0.949240i | \(-0.601854\pi\) |
−0.971403 | + | 0.237435i | \(0.923693\pi\) | |||||||
\(858\) | 35.6577 | − | 61.7610i | 1.21733 | − | 2.10848i | ||||
\(859\) | −0.0104820 | + | 0.580494i | −0.000357642 | + | 0.0198062i | −0.999967 | − | 0.00815016i | \(-0.997406\pi\) |
0.999609 | + | 0.0279564i | \(0.00889995\pi\) | |||||||
\(860\) | −4.07052 | + | 6.00356i | −0.138803 | + | 0.204720i | ||||
\(861\) | 19.9074 | + | 37.5493i | 0.678441 | + | 1.27968i | ||||
\(862\) | −11.9217 | + | 12.1389i | −0.406054 | + | 0.413452i | ||||
\(863\) | 53.6133 | − | 9.78653i | 1.82502 | − | 0.333137i | 0.845420 | − | 0.534101i | \(-0.179350\pi\) |
0.979599 | + | 0.200964i | \(0.0644074\pi\) | |||||||
\(864\) | −0.910033 | − | 2.87119i | −0.0309600 | − | 0.0976797i | ||||
\(865\) | −11.2954 | + | 21.3054i | −0.384056 | + | 0.724407i | ||||
\(866\) | 15.3230 | + | 28.9023i | 0.520697 | + | 0.982139i | ||||
\(867\) | 27.0951 | − | 0.978838i | 0.920199 | − | 0.0332431i | ||||
\(868\) | 45.0141 | − | 112.977i | 1.52788 | − | 3.83469i | ||||
\(869\) | −5.92219 | + | 2.73990i | −0.200897 | + | 0.0929446i | ||||
\(870\) | 33.4574 | − | 29.4752i | 1.13431 | − | 0.999303i | ||||
\(871\) | −27.1987 | + | 29.7720i | −0.921594 | + | 1.00879i | ||||
\(872\) | −27.3796 | + | 13.8884i | −0.927191 | + | 0.470321i | ||||
\(873\) | −2.23661 | + | 1.13453i | −0.0756978 | + | 0.0383980i | ||||
\(874\) | −101.004 | + | 110.560i | −3.41651 | + | 3.73975i | ||||
\(875\) | −30.9797 | + | 27.2924i | −1.04730 | + | 0.922651i | ||||
\(876\) | 9.28999 | − | 4.29801i | 0.313880 | − | 0.145216i | ||||
\(877\) | 6.41481 | − | 16.0999i | 0.216613 | − | 0.543657i | −0.780011 | − | 0.625766i | \(-0.784786\pi\) |
0.996623 | + | 0.0821096i | \(0.0261657\pi\) | |||||||
\(878\) | 98.8536 | − | 3.57118i | 3.33615 | − | 0.120522i | ||||
\(879\) | −4.92855 | − | 9.29624i | −0.166236 | − | 0.313554i | ||||
\(880\) | 5.40625 | − | 10.1973i | 0.182245 | − | 0.343750i | ||||
\(881\) | 3.85780 | + | 12.1715i | 0.129973 | + | 0.410068i | 0.995939 | − | 0.0900348i | \(-0.0286978\pi\) |
−0.865966 | + | 0.500103i | \(0.833296\pi\) | |||||||
\(882\) | −5.73370 | + | 1.04662i | −0.193064 | + | 0.0352417i | ||||
\(883\) | −5.19079 | + | 5.28536i | −0.174684 | + | 0.177867i | −0.795239 | − | 0.606296i | \(-0.792655\pi\) |
0.620555 | + | 0.784163i | \(0.286907\pi\) | |||||||
\(884\) | 14.5538 | + | 27.4513i | 0.489496 | + | 0.923288i | ||||
\(885\) | 5.11362 | − | 7.54203i | 0.171893 | − | 0.253523i | ||||
\(886\) | −0.788921 | + | 43.6903i | −0.0265043 | + | 1.46781i | ||||
\(887\) | −10.4927 | + | 18.1738i | −0.352309 | + | 0.610217i | −0.986654 | − | 0.162833i | \(-0.947937\pi\) |
0.634345 | + | 0.773050i | \(0.281270\pi\) | |||||||
\(888\) | 40.9054 | + | 22.6421i | 1.37269 | + | 0.759818i | ||||
\(889\) | 51.1937 | − | 21.4763i | 1.71698 | − | 0.720294i | ||||
\(890\) | 32.3722 | − | 26.5061i | 1.08512 | − | 0.888487i | ||||
\(891\) | −14.5207 | + | 23.1759i | −0.486463 | + | 0.776423i | ||||
\(892\) | −21.1872 | − | 18.6654i | −0.709399 | − | 0.624964i | ||||
\(893\) | 18.4734 | + | 25.2343i | 0.618189 | + | 0.844435i | ||||
\(894\) | −33.7870 | − | 53.9259i | −1.13001 | − | 1.80355i | ||||
\(895\) | 1.74232 | − | 13.7122i | 0.0582392 | − | 0.458349i | ||||
\(896\) | 83.1818 | + | 15.1839i | 2.77891 | + | 0.507260i | ||||
\(897\) | −73.1427 | + | 30.6842i | −2.44216 | + | 1.02452i | ||||
\(898\) | −42.9217 | − | 54.3953i | −1.43231 | − | 1.81520i | ||||
\(899\) | 61.5299 | + | 25.8125i | 2.05214 | + | 0.860896i | ||||
\(900\) | −3.13626 | + | 0.932083i | −0.104542 | + | 0.0310694i | ||||
\(901\) | 3.79673 | − | 2.28441i | 0.126487 | − | 0.0761049i | ||||
\(902\) | −26.2417 | + | 28.7245i | −0.873754 | + | 0.956420i | ||||
\(903\) | 5.02768 | + | 11.4030i | 0.167311 | + | 0.379468i | ||||
\(904\) | −25.5555 | + | 57.9609i | −0.849962 | + | 1.92775i | ||||
\(905\) | −7.30814 | − | 7.99956i | −0.242931 | − | 0.265915i | ||||
\(906\) | −24.9035 | − | 7.40122i | −0.827364 | − | 0.245889i | ||||
\(907\) | −15.8977 | − | 14.0055i | −0.527875 | − | 0.465046i | 0.354858 | − | 0.934920i | \(-0.384529\pi\) |
−0.882733 | + | 0.469874i | \(0.844299\pi\) | |||||||
\(908\) | 52.2743 | − | 5.68517i | 1.73478 | − | 0.188669i | ||||
\(909\) | −0.291568 | + | 3.22097i | −0.00967069 | + | 0.106833i | ||||
\(910\) | 15.3344 | − | 64.1272i | 0.508329 | − | 2.12580i | ||||
\(911\) | −31.5538 | −1.04543 | −0.522713 | − | 0.852509i | \(-0.675080\pi\) | ||||
−0.522713 | + | 0.852509i | \(0.675080\pi\) | |||||||
\(912\) | 12.0701 | − | 50.4762i | 0.399680 | − | 1.67143i | ||||
\(913\) | 4.07376 | + | 11.4057i | 0.134822 | + | 0.377473i | ||||
\(914\) | 28.3026 | + | 9.53625i | 0.936166 | + | 0.315431i | ||||
\(915\) | −0.0852534 | − | 0.136069i | −0.00281839 | − | 0.00449831i | ||||
\(916\) | −16.7262 | + | 102.025i | −0.552650 | + | 3.37102i | ||||
\(917\) | −7.36096 | + | 36.5745i | −0.243080 | + | 1.20780i | ||||
\(918\) | −7.29571 | − | 15.0503i | −0.240794 | − | 0.496733i | ||||
\(919\) | −25.3844 | − | 3.69227i | −0.837356 | − | 0.121797i | −0.288256 | − | 0.957553i | \(-0.593075\pi\) |
−0.549100 | + | 0.835757i | \(0.685029\pi\) | |||||||
\(920\) | −36.9488 | + | 17.0943i | −1.21817 | + | 0.563584i | ||||
\(921\) | 14.7314 | − | 3.24263i | 0.485416 | − | 0.106848i | ||||
\(922\) | 46.3473 | − | 43.9025i | 1.52637 | − | 1.44585i | ||||
\(923\) | 14.1814 | − | 39.7051i | 0.466787 | − | 1.30691i | ||||
\(924\) | −42.3820 | − | 73.4078i | −1.39427 | − | 2.41494i | ||||
\(925\) | 10.3411 | − | 17.9114i | 0.340014 | − | 0.588922i | ||||
\(926\) | 50.9848 | + | 60.0240i | 1.67547 | + | 1.97251i | ||||
\(927\) | −0.0338058 | − | 0.0344218i | −0.00111033 | − | 0.00113056i | ||||
\(928\) | −1.08565 | + | 5.39426i | −0.0356381 | + | 0.177075i | ||||
\(929\) | 3.49904 | + | 0.380544i | 0.114800 | + | 0.0124852i | 0.165339 | − | 0.986237i | \(-0.447128\pi\) |
−0.0505387 | + | 0.998722i | \(0.516094\pi\) | |||||||
\(930\) | 24.1791 | + | 26.4667i | 0.792864 | + | 0.867878i | ||||
\(931\) | −80.4652 | − | 30.3887i | −2.63714 | − | 0.995948i | ||||
\(932\) | 9.35927 | + | 33.7091i | 0.306573 | + | 1.10418i | ||||
\(933\) | 48.1006 | + | 20.1788i | 1.57474 | + | 0.660624i | ||||
\(934\) | 0.430026 | + | 0.280367i | 0.0140709 | + | 0.00917390i | ||||
\(935\) | −1.47366 | + | 4.12594i | −0.0481938 | + | 0.134933i | ||||
\(936\) | 3.71712 | − | 4.71076i | 0.121498 | − | 0.153976i | ||||
\(937\) | −9.23450 | − | 7.01989i | −0.301678 | − | 0.229330i | 0.443373 | − | 0.896337i | \(-0.353782\pi\) |
−0.745051 | + | 0.667008i | \(0.767575\pi\) | |||||||
\(938\) | 21.8382 | + | 68.9002i | 0.713042 | + | 2.24967i | ||||
\(939\) | 36.9812 | − | 5.37907i | 1.20684 | − | 0.175539i | ||||
\(940\) | 4.01890 | + | 16.8068i | 0.131082 | + | 0.548176i | ||||
\(941\) | −1.77470 | − | 7.42167i | −0.0578536 | − | 0.241939i | 0.936101 | − | 0.351731i | \(-0.114407\pi\) |
−0.993955 | + | 0.109792i | \(0.964982\pi\) | |||||||
\(942\) | −81.3501 | + | 53.0384i | −2.65053 | + | 1.72808i | ||||
\(943\) | 42.5692 | − | 7.77054i | 1.38624 | − | 0.253044i | ||||
\(944\) | −0.890555 | − | 16.4253i | −0.0289851 | − | 0.534599i | ||||
\(945\) | −6.29668 | + | 22.6786i | −0.204831 | + | 0.737735i | ||||
\(946\) | −8.28251 | + | 7.84561i | −0.269288 | + | 0.255083i | ||||
\(947\) | 16.5045 | + | 7.63582i | 0.536326 | + | 0.248131i | 0.669304 | − | 0.742988i | \(-0.266592\pi\) |
−0.132979 | + | 0.991119i | \(0.542454\pi\) | |||||||
\(948\) | −15.5414 | + | 4.61884i | −0.504762 | + | 0.150013i | ||||
\(949\) | 7.11594 | + | 4.28152i | 0.230993 | + | 0.138984i | ||||
\(950\) | −70.4978 | − | 18.2093i | −2.28725 | − | 0.590789i | ||||
\(951\) | 15.4970 | − | 35.1478i | 0.502524 | − | 1.13975i | ||||
\(952\) | 27.3819 | + | 0.989199i | 0.887454 | + | 0.0320601i | ||||
\(953\) | 16.4807 | + | 33.9979i | 0.533861 | + | 1.10130i | 0.978625 | + | 0.205651i | \(0.0659312\pi\) |
−0.444764 | + | 0.895648i | \(0.646712\pi\) | |||||||
\(954\) | −1.42177 | − | 1.00192i | −0.0460315 | − | 0.0324384i | ||||
\(955\) | −2.46391 | + | 1.87302i | −0.0797304 | + | 0.0606094i | ||||
\(956\) | −0.0453150 | + | 2.50954i | −0.00146559 | + | 0.0811643i | ||||
\(957\) | 40.6891 | − | 22.5224i | 1.31529 | − | 0.728044i | ||||
\(958\) | 1.57631 | − | 1.99768i | 0.0509283 | − | 0.0645422i | ||||
\(959\) | 10.2962 | − | 37.0836i | 0.332482 | − | 1.19749i | ||||
\(960\) | −10.3516 | + | 14.1402i | −0.334098 | + | 0.456372i | ||||
\(961\) | −8.38185 | + | 21.0368i | −0.270382 | + | 0.678608i | ||||
\(962\) | 6.95056 | + | 76.7833i | 0.224095 | + | 2.47559i | ||||
\(963\) | 0.686431 | + | 0.483729i | 0.0221199 | + | 0.0155880i | ||||
\(964\) | 18.9288 | + | 19.2737i | 0.609657 | + | 0.620765i | ||||
\(965\) | 4.13048 | − | 13.0318i | 0.132965 | − | 0.419509i | ||||
\(966\) | −17.9202 | + | 141.034i | −0.576573 | + | 4.53769i | ||||
\(967\) | −3.26334 | + | 60.1888i | −0.104942 | + | 1.93554i | 0.193472 | + | 0.981106i | \(0.438025\pi\) |
−0.298415 | + | 0.954436i | \(0.596458\pi\) | |||||||
\(968\) | −8.89487 | + | 10.4719i | −0.285892 | + | 0.336578i | ||||
\(969\) | −1.77609 | + | 19.6206i | −0.0570562 | + | 0.630305i | ||||
\(970\) | −27.5029 | − | 13.9510i | −0.883066 | − | 0.447938i | ||||
\(971\) | −2.39246 | − | 6.69840i | −0.0767778 | − | 0.214962i | 0.897192 | − | 0.441642i | \(-0.145604\pi\) |
−0.973969 | + | 0.226680i | \(0.927213\pi\) | |||||||
\(972\) | −5.86201 | + | 6.90129i | −0.188024 | + | 0.221359i | ||||
\(973\) | 6.43653 | − | 0.465660i | 0.206346 | − | 0.0149284i | ||||
\(974\) | 0.573937 | − | 0.916035i | 0.0183901 | − | 0.0293517i | ||||
\(975\) | −29.8395 | − | 24.4323i | −0.955628 | − | 0.782461i | ||||
\(976\) | −0.271171 | − | 0.102411i | −0.00867999 | − | 0.00327810i | ||||
\(977\) | 26.4432 | + | 6.83019i | 0.845993 | + | 0.218517i | 0.647956 | − | 0.761678i | \(-0.275624\pi\) |
0.198037 | + | 0.980195i | \(0.436544\pi\) | |||||||
\(978\) | −18.7208 | − | 46.9857i | −0.598625 | − | 1.50244i | ||||
\(979\) | 38.9180 | − | 19.7413i | 1.24382 | − | 0.630934i | ||||
\(980\) | −34.5044 | − | 32.6843i | −1.10220 | − | 1.04406i | ||||
\(981\) | −1.23596 | − | 0.743652i | −0.0394611 | − | 0.0237430i | ||||
\(982\) | −11.6215 | − | 41.8569i | −0.370857 | − | 1.33571i | ||||
\(983\) | −1.22211 | + | 0.411778i | −0.0389793 | + | 0.0131337i | −0.338724 | − | 0.940886i | \(-0.609995\pi\) |
0.299744 | + | 0.954020i | \(0.403099\pi\) | |||||||
\(984\) | −36.8001 | + | 30.1316i | −1.17315 | + | 0.960562i | ||||
\(985\) | −0.879526 | − | 6.92196i | −0.0280240 | − | 0.220552i | ||||
\(986\) | −1.65421 | + | 30.5102i | −0.0526809 | + | 0.971641i | ||||
\(987\) | 28.1358 | + | 9.48006i | 0.895573 | + | 0.301754i | ||||
\(988\) | 168.379 | − | 63.5904i | 5.35685 | − | 2.02308i | ||||
\(989\) | 12.6143 | − | 1.37189i | 0.401112 | − | 0.0436236i | ||||
\(990\) | 1.71531 | − | 0.124096i | 0.0545161 | − | 0.00394404i | ||||
\(991\) | −0.150069 | − | 1.18106i | −0.00476711 | − | 0.0375176i | 0.989463 | − | 0.144786i | \(-0.0462494\pi\) |
−0.994230 | + | 0.107268i | \(0.965790\pi\) | |||||||
\(992\) | −4.35190 | − | 0.794393i | −0.138173 | − | 0.0252220i | ||||
\(993\) | −39.3828 | + | 27.7531i | −1.24977 | + | 0.880718i | ||||
\(994\) | −48.9226 | − | 57.5961i | −1.55173 | − | 1.82684i | ||||
\(995\) | 6.94537 | − | 5.27973i | 0.220183 | − | 0.167379i | ||||
\(996\) | 5.93742 | + | 29.5013i | 0.188134 | + | 0.934785i | ||||
\(997\) | −16.5739 | + | 0.598749i | −0.524902 | + | 0.0189626i | −0.297286 | − | 0.954788i | \(-0.596081\pi\) |
−0.227616 | + | 0.973751i | \(0.573093\pi\) | |||||||
\(998\) | 76.0229 | + | 5.49998i | 2.40646 | + | 0.174099i | ||||
\(999\) | −1.48996 | − | 27.4806i | −0.0471401 | − | 0.869449i |
(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 | 349.2.i.a.9.2 | ✓ | 1568 | |
349.194 | even | 87 | inner | 349.2.i.a.194.2 | yes | 1568 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
349.2.i.a.9.2 | ✓ | 1568 | 1.1 | even | 1 | trivial | |
349.2.i.a.194.2 | yes | 1568 | 349.194 | even | 87 | inner |