Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [322,2,Mod(5,322)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(322, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([55, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("322.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 322 = 2 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 322.o (of order \(66\), degree \(20\), 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: | \(2.57118294509\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 171.1 | ||
Character | \(\chi\) | \(=\) | 322.171 |
Dual form | 322.2.o.a.145.1 |
$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.327068 | − | 0.945001i | 0.231272 | − | 0.668216i | ||||
\(3\) | −1.30938 | − | 2.53985i | −0.755974 | − | 1.46638i | −0.880439 | − | 0.474160i | \(-0.842752\pi\) |
0.124465 | − | 0.992224i | \(-0.460279\pi\) | |||||||
\(4\) | −0.786053 | − | 0.618159i | −0.393027 | − | 0.309079i | ||||
\(5\) | −3.20359 | + | 0.305905i | −1.43269 | + | 0.136805i | −0.782349 | − | 0.622840i | \(-0.785979\pi\) |
−0.650338 | + | 0.759645i | \(0.725373\pi\) | |||||||
\(6\) | −2.82842 | + | 0.406665i | −1.15470 | + | 0.166020i | ||||
\(7\) | 1.11039 | − | 2.40147i | 0.419686 | − | 0.907669i | ||||
\(8\) | −0.841254 | + | 0.540641i | −0.297428 | + | 0.191145i | ||||
\(9\) | −2.99619 | + | 4.20756i | −0.998730 | + | 1.40252i | ||||
\(10\) | −0.758710 | + | 3.12744i | −0.239925 | + | 0.988984i | ||||
\(11\) | 2.68416 | − | 0.928998i | 0.809306 | − | 0.280103i | 0.109087 | − | 0.994032i | \(-0.465207\pi\) |
0.700218 | + | 0.713929i | \(0.253086\pi\) | |||||||
\(12\) | −0.540786 | + | 2.80587i | −0.156112 | + | 0.809984i | ||||
\(13\) | 1.18643 | + | 4.04060i | 0.329056 | + | 1.12066i | 0.943409 | + | 0.331630i | \(0.107599\pi\) |
−0.614354 | + | 0.789031i | \(0.710583\pi\) | |||||||
\(14\) | −1.90622 | − | 1.83476i | −0.509458 | − | 0.490360i | ||||
\(15\) | 4.97168 | + | 7.73609i | 1.28368 | + | 1.99745i | ||||
\(16\) | 0.235759 | + | 0.971812i | 0.0589397 | + | 0.242953i | ||||
\(17\) | −4.32112 | − | 1.72992i | −1.04803 | − | 0.419567i | −0.217217 | − | 0.976123i | \(-0.569698\pi\) |
−0.830810 | + | 0.556557i | \(0.812122\pi\) | |||||||
\(18\) | 2.99619 | + | 4.20756i | 0.706208 | + | 0.991731i | ||||
\(19\) | 0.162721 | − | 0.0651438i | 0.0373309 | − | 0.0149450i | −0.352922 | − | 0.935653i | \(-0.614812\pi\) |
0.390253 | + | 0.920708i | \(0.372388\pi\) | |||||||
\(20\) | 2.70729 | + | 1.73987i | 0.605368 | + | 0.389046i | ||||
\(21\) | −7.55329 | + | 0.324229i | −1.64826 | + | 0.0707526i | ||||
\(22\) | − | 2.84038i | − | 0.605572i | ||||||
\(23\) | −2.62927 | − | 4.01085i | −0.548241 | − | 0.836320i | ||||
\(24\) | 2.47467 | + | 1.42875i | 0.505140 | + | 0.291643i | ||||
\(25\) | 5.25974 | − | 1.01373i | 1.05195 | − | 0.202746i | ||||
\(26\) | 4.20641 | + | 0.200376i | 0.824945 | + | 0.0392970i | ||||
\(27\) | 6.12448 | + | 0.880567i | 1.17866 | + | 0.169465i | ||||
\(28\) | −2.35731 | + | 1.20129i | −0.445490 | + | 0.227022i | ||||
\(29\) | −0.251271 | − | 1.74763i | −0.0466598 | − | 0.324526i | −0.999761 | − | 0.0218735i | \(-0.993037\pi\) |
0.953101 | − | 0.302653i | \(-0.0978722\pi\) | |||||||
\(30\) | 8.93669 | − | 2.16802i | 1.63161 | − | 0.395824i | ||||
\(31\) | −6.78123 | + | 0.323030i | −1.21794 | + | 0.0580179i | −0.646689 | − | 0.762754i | \(-0.723847\pi\) |
−0.571256 | + | 0.820772i | \(0.693544\pi\) | |||||||
\(32\) | 0.995472 | + | 0.0950560i | 0.175976 | + | 0.0168037i | ||||
\(33\) | −5.87412 | − | 5.60096i | −1.02255 | − | 0.975002i | ||||
\(34\) | −3.04807 | + | 3.51767i | −0.522740 | + | 0.603275i | ||||
\(35\) | −2.82259 | + | 8.03298i | −0.477106 | + | 1.35782i | ||||
\(36\) | 4.95610 | − | 1.45524i | 0.826017 | − | 0.242541i | ||||
\(37\) | 3.86063 | + | 2.74914i | 0.634684 | + | 0.451957i | 0.851570 | − | 0.524240i | \(-0.175651\pi\) |
−0.216886 | + | 0.976197i | \(0.569590\pi\) | |||||||
\(38\) | −0.00834001 | − | 0.175078i | −0.00135293 | − | 0.0284015i | ||||
\(39\) | 8.70904 | − | 8.30405i | 1.39456 | − | 1.32971i | ||||
\(40\) | 2.52964 | − | 1.98933i | 0.399972 | − | 0.314541i | ||||
\(41\) | −8.31437 | − | 3.79705i | −1.29849 | − | 0.592999i | −0.358283 | − | 0.933613i | \(-0.616638\pi\) |
−0.940203 | + | 0.340614i | \(0.889365\pi\) | |||||||
\(42\) | −2.16404 | + | 7.24391i | −0.333919 | + | 1.11776i | ||||
\(43\) | −2.64800 | + | 4.12037i | −0.403816 | + | 0.628350i | −0.982294 | − | 0.187348i | \(-0.940011\pi\) |
0.578477 | + | 0.815698i | \(0.303647\pi\) | |||||||
\(44\) | −2.68416 | − | 0.928998i | −0.404653 | − | 0.140052i | ||||
\(45\) | 8.31143 | − | 14.3958i | 1.23900 | − | 2.14600i | ||||
\(46\) | −4.65021 | + | 1.17284i | −0.685636 | + | 0.172926i | ||||
\(47\) | 9.60091 | − | 5.54309i | 1.40044 | − | 0.808543i | 0.406000 | − | 0.913873i | \(-0.366923\pi\) |
0.994437 | + | 0.105330i | \(0.0335900\pi\) | |||||||
\(48\) | 2.15956 | − | 1.87127i | 0.311705 | − | 0.270094i | ||||
\(49\) | −4.53409 | − | 5.33311i | −0.647727 | − | 0.761873i | ||||
\(50\) | 0.762316 | − | 5.30202i | 0.107808 | − | 0.749819i | ||||
\(51\) | 1.26428 | + | 13.2401i | 0.177035 | + | 1.85399i | ||||
\(52\) | 1.56514 | − | 3.90953i | 0.217046 | − | 0.542154i | ||||
\(53\) | −0.101877 | − | 0.106846i | −0.0139939 | − | 0.0146764i | 0.716700 | − | 0.697382i | \(-0.245652\pi\) |
−0.730694 | + | 0.682705i | \(0.760803\pi\) | |||||||
\(54\) | 2.83526 | − | 5.49963i | 0.385830 | − | 0.748405i | ||||
\(55\) | −8.31477 | + | 3.79723i | −1.12116 | + | 0.512018i | ||||
\(56\) | 0.364215 | + | 2.62056i | 0.0486703 | + | 0.350187i | ||||
\(57\) | −0.378521 | − | 0.327990i | −0.0501363 | − | 0.0434433i | ||||
\(58\) | −1.73369 | − | 0.334142i | −0.227645 | − | 0.0438750i | ||||
\(59\) | −9.51925 | − | 2.30934i | −1.23930 | − | 0.300651i | −0.438034 | − | 0.898958i | \(-0.644325\pi\) |
−0.801267 | + | 0.598307i | \(0.795840\pi\) | |||||||
\(60\) | 0.874126 | − | 9.15426i | 0.112849 | − | 1.18181i | ||||
\(61\) | 1.66939 | + | 0.860629i | 0.213743 | + | 0.110192i | 0.561774 | − | 0.827291i | \(-0.310119\pi\) |
−0.348031 | + | 0.937483i | \(0.613149\pi\) | |||||||
\(62\) | −1.91266 | + | 6.51392i | −0.242908 | + | 0.827269i | ||||
\(63\) | 6.77739 | + | 11.8673i | 0.853871 | + | 1.49513i | ||||
\(64\) | 0.415415 | − | 0.909632i | 0.0519269 | − | 0.113704i | ||||
\(65\) | −5.03686 | − | 12.5815i | −0.624746 | − | 1.56054i | ||||
\(66\) | −7.21415 | + | 3.71915i | −0.888001 | + | 0.457796i | ||||
\(67\) | −1.23383 | − | 6.40172i | −0.150736 | − | 0.782095i | −0.976071 | − | 0.217451i | \(-0.930226\pi\) |
0.825335 | − | 0.564644i | \(-0.190986\pi\) | |||||||
\(68\) | 2.32727 | + | 4.03095i | 0.282223 | + | 0.488824i | ||||
\(69\) | −6.74424 | + | 11.9297i | −0.811911 | + | 1.43617i | ||||
\(70\) | 6.66799 | + | 5.29468i | 0.796977 | + | 0.632836i | ||||
\(71\) | −6.91234 | − | 7.97726i | −0.820343 | − | 0.946727i | 0.178967 | − | 0.983855i | \(-0.442724\pi\) |
−0.999311 | + | 0.0371282i | \(0.988179\pi\) | |||||||
\(72\) | 0.245777 | − | 5.15949i | 0.0289650 | − | 0.608051i | ||||
\(73\) | 9.23558 | − | 11.7440i | 1.08094 | − | 1.37453i | 0.158967 | − | 0.987284i | \(-0.449184\pi\) |
0.921976 | − | 0.387247i | \(-0.126574\pi\) | |||||||
\(74\) | 3.86063 | − | 2.74914i | 0.448789 | − | 0.319582i | ||||
\(75\) | −9.46176 | − | 12.0316i | −1.09255 | − | 1.38929i | ||||
\(76\) | −0.168177 | − | 0.0493812i | −0.0192912 | − | 0.00566441i | ||||
\(77\) | 0.749499 | − | 7.47748i | 0.0854133 | − | 0.852138i | ||||
\(78\) | −4.99889 | − | 10.9460i | −0.566012 | − | 1.23939i | ||||
\(79\) | −3.04096 | + | 3.18927i | −0.342135 | + | 0.358821i | −0.872211 | − | 0.489129i | \(-0.837315\pi\) |
0.530077 | + | 0.847950i | \(0.322163\pi\) | |||||||
\(80\) | −1.05256 | − | 3.04116i | −0.117679 | − | 0.340012i | ||||
\(81\) | −0.714540 | − | 2.06453i | −0.0793934 | − | 0.229392i | ||||
\(82\) | −6.30758 | + | 6.61520i | −0.696555 | + | 0.730526i | ||||
\(83\) | 7.25578 | + | 15.8879i | 0.796426 | + | 1.74393i | 0.657266 | + | 0.753659i | \(0.271713\pi\) |
0.139160 | + | 0.990270i | \(0.455560\pi\) | |||||||
\(84\) | 6.13771 | + | 4.41427i | 0.669679 | + | 0.481637i | ||||
\(85\) | 14.3723 | + | 4.22008i | 1.55889 | + | 0.457732i | ||||
\(86\) | 3.02768 | + | 3.85000i | 0.326483 | + | 0.415156i | ||||
\(87\) | −4.10970 | + | 2.92651i | −0.440606 | + | 0.313754i | ||||
\(88\) | −1.75581 | + | 2.23269i | −0.187170 | + | 0.238006i | ||||
\(89\) | 0.0507858 | − | 1.06612i | 0.00538328 | − | 0.113009i | −0.994576 | − | 0.104010i | \(-0.966833\pi\) |
0.999960 | − | 0.00899879i | \(-0.00286444\pi\) | |||||||
\(90\) | −10.8857 | − | 12.5627i | −1.14745 | − | 1.32423i | ||||
\(91\) | 11.0208 | + | 1.63746i | 1.15529 | + | 0.171652i | ||||
\(92\) | −0.412596 | + | 4.77805i | −0.0430162 | + | 0.498146i | ||||
\(93\) | 9.69969 | + | 16.8003i | 1.00581 | + | 1.74212i | ||||
\(94\) | −2.09807 | − | 10.8858i | −0.216400 | − | 1.12279i | ||||
\(95\) | −0.501364 | + | 0.258471i | −0.0514389 | + | 0.0265186i | ||||
\(96\) | −1.06203 | − | 2.65282i | −0.108393 | − | 0.270752i | ||||
\(97\) | 5.91201 | − | 12.9455i | 0.600274 | − | 1.31442i | −0.328757 | − | 0.944414i | \(-0.606630\pi\) |
0.929031 | − | 0.370002i | \(-0.120643\pi\) | |||||||
\(98\) | −6.52275 | + | 2.54043i | −0.658897 | + | 0.256622i | ||||
\(99\) | −4.13345 | + | 14.0772i | −0.415427 | + | 1.41481i | ||||
\(100\) | −4.76109 | − | 2.45451i | −0.476109 | − | 0.245451i | ||||
\(101\) | 0.402676 | − | 4.21702i | 0.0400678 | − | 0.419609i | −0.953078 | − | 0.302725i | \(-0.902104\pi\) |
0.993146 | − | 0.116884i | \(-0.0372904\pi\) | |||||||
\(102\) | 12.9255 | + | 3.13568i | 1.27981 | + | 0.310479i | ||||
\(103\) | 16.4164 | + | 3.16400i | 1.61755 | + | 0.311758i | 0.916098 | − | 0.400954i | \(-0.131321\pi\) |
0.701457 | + | 0.712712i | \(0.252533\pi\) | |||||||
\(104\) | −3.18260 | − | 2.75774i | −0.312080 | − | 0.270418i | ||||
\(105\) | 24.0984 | − | 3.34929i | 2.35177 | − | 0.326857i | ||||
\(106\) | −0.134290 | + | 0.0613282i | −0.0130434 | + | 0.00595672i | ||||
\(107\) | 7.42143 | − | 14.3956i | 0.717457 | − | 1.39167i | −0.194300 | − | 0.980942i | \(-0.562243\pi\) |
0.911757 | − | 0.410730i | \(-0.134726\pi\) | |||||||
\(108\) | −4.26983 | − | 4.47807i | −0.410865 | − | 0.430903i | ||||
\(109\) | 0.837458 | − | 2.09187i | 0.0802139 | − | 0.200365i | −0.882840 | − | 0.469674i | \(-0.844371\pi\) |
0.963054 | + | 0.269310i | \(0.0867955\pi\) | |||||||
\(110\) | 0.868888 | + | 9.09941i | 0.0828453 | + | 0.867595i | ||||
\(111\) | 1.92737 | − | 13.4051i | 0.182937 | − | 1.27236i | ||||
\(112\) | 2.59556 | + | 0.512918i | 0.245257 | + | 0.0484662i | ||||
\(113\) | −12.6109 | + | 10.9274i | −1.18633 | + | 1.02796i | −0.187376 | + | 0.982288i | \(0.559998\pi\) |
−0.998956 | + | 0.0456745i | \(0.985456\pi\) | |||||||
\(114\) | −0.433753 | + | 0.250427i | −0.0406247 | + | 0.0234547i | ||||
\(115\) | 9.65004 | + | 12.0448i | 0.899871 | + | 1.12318i | ||||
\(116\) | −0.882799 | + | 1.52905i | −0.0819658 | + | 0.141969i | ||||
\(117\) | −20.5558 | − | 7.11444i | −1.90039 | − | 0.657730i | ||||
\(118\) | −5.29577 | + | 8.24038i | −0.487515 | + | 0.758589i | ||||
\(119\) | −8.95245 | + | 8.45616i | −0.820670 | + | 0.775175i | ||||
\(120\) | −8.36489 | − | 3.82012i | −0.763606 | − | 0.348727i | ||||
\(121\) | −2.30489 | + | 1.81258i | −0.209535 | + | 0.164780i | ||||
\(122\) | 1.35930 | − | 1.29609i | 0.123065 | − | 0.117342i | ||||
\(123\) | 1.24278 | + | 26.0891i | 0.112057 | + | 2.35237i | ||||
\(124\) | 5.53009 | + | 3.93796i | 0.496617 | + | 0.353639i | ||||
\(125\) | −1.10093 | + | 0.323263i | −0.0984705 | + | 0.0289136i | ||||
\(126\) | 13.4312 | − | 2.52324i | 1.19655 | − | 0.224788i | ||||
\(127\) | 5.58476 | − | 6.44516i | 0.495567 | − | 0.571915i | −0.451777 | − | 0.892131i | \(-0.649210\pi\) |
0.947345 | + | 0.320215i | \(0.103755\pi\) | |||||||
\(128\) | −0.723734 | − | 0.690079i | −0.0639697 | − | 0.0609949i | ||||
\(129\) | 13.9324 | + | 1.33038i | 1.22668 | + | 0.117133i | ||||
\(130\) | −13.5369 | + | 0.644842i | −1.18726 | + | 0.0565564i | ||||
\(131\) | −15.2273 | + | 3.69410i | −1.33041 | + | 0.322755i | −0.837078 | − | 0.547083i | \(-0.815738\pi\) |
−0.493336 | + | 0.869839i | \(0.664223\pi\) | |||||||
\(132\) | 1.15509 | + | 8.03379i | 0.100537 | + | 0.699252i | ||||
\(133\) | 0.0242428 | − | 0.463105i | 0.00210212 | − | 0.0401563i | ||||
\(134\) | −6.45318 | − | 0.927827i | −0.557470 | − | 0.0801520i | ||||
\(135\) | −19.8897 | − | 0.947461i | −1.71183 | − | 0.0815445i | ||||
\(136\) | 4.57042 | − | 0.880877i | 0.391911 | − | 0.0755346i | ||||
\(137\) | −2.54811 | − | 1.47115i | −0.217700 | − | 0.125689i | 0.387185 | − | 0.922002i | \(-0.373447\pi\) |
−0.604885 | + | 0.796313i | \(0.706781\pi\) | |||||||
\(138\) | 9.06776 | + | 10.2751i | 0.771899 | + | 0.874678i | ||||
\(139\) | − | 12.9204i | − | 1.09589i | −0.836514 | − | 0.547946i | \(-0.815410\pi\) | ||
0.836514 | − | 0.547946i | \(-0.184590\pi\) | |||||||
\(140\) | 7.18437 | − | 4.56954i | 0.607190 | − | 0.386196i | ||||
\(141\) | −26.6499 | − | 17.1269i | −2.24433 | − | 1.44234i | ||||
\(142\) | −9.79932 | + | 3.92306i | −0.822341 | + | 0.329216i | ||||
\(143\) | 6.93828 | + | 9.74344i | 0.580208 | + | 0.814788i | ||||
\(144\) | −4.79533 | − | 1.91976i | −0.399611 | − | 0.159980i | ||||
\(145\) | 1.33958 | + | 5.52181i | 0.111246 | + | 0.458561i | ||||
\(146\) | −8.07742 | − | 12.5687i | −0.668492 | − | 1.04019i | ||||
\(147\) | −7.60844 | + | 18.4990i | −0.627534 | + | 1.52577i | ||||
\(148\) | −1.33525 | − | 4.54746i | −0.109757 | − | 0.373799i | ||||
\(149\) | −1.23868 | + | 6.42688i | −0.101477 | + | 0.526511i | 0.895243 | + | 0.445578i | \(0.147002\pi\) |
−0.996720 | + | 0.0809323i | \(0.974210\pi\) | |||||||
\(150\) | −14.4645 | + | 5.00622i | −1.18102 | + | 0.408756i | ||||
\(151\) | −1.14968 | + | 4.73903i | −0.0935593 | + | 0.385657i | −0.999268 | − | 0.0382428i | \(-0.987824\pi\) |
0.905709 | + | 0.423900i | \(0.139339\pi\) | |||||||
\(152\) | −0.101671 | + | 0.142776i | −0.00824657 | + | 0.0115807i | ||||
\(153\) | 20.2256 | − | 12.9982i | 1.63515 | − | 1.05084i | ||||
\(154\) | −6.82109 | − | 3.15392i | −0.549659 | − | 0.254150i | ||||
\(155\) | 21.6254 | − | 3.10927i | 1.73700 | − | 0.249742i | ||||
\(156\) | −11.9790 | + | 1.14385i | −0.959087 | + | 0.0915817i | ||||
\(157\) | −6.20820 | − | 4.88218i | −0.495469 | − | 0.389641i | 0.338922 | − | 0.940814i | \(-0.389938\pi\) |
−0.834391 | + | 0.551174i | \(0.814180\pi\) | |||||||
\(158\) | 2.01926 | + | 3.91682i | 0.160644 | + | 0.311605i | ||||
\(159\) | −0.137976 | + | 0.398655i | −0.0109422 | + | 0.0316154i | ||||
\(160\) | −3.21816 | −0.254418 | ||||||||
\(161\) | −12.5514 | + | 1.86052i | −0.989192 | + | 0.146629i | ||||
\(162\) | −2.18469 | −0.171645 | ||||||||
\(163\) | 2.86627 | − | 8.28155i | 0.224504 | − | 0.648661i | −0.775349 | − | 0.631533i | \(-0.782426\pi\) |
0.999853 | − | 0.0171289i | \(-0.00545256\pi\) | |||||||
\(164\) | 4.18836 | + | 8.12428i | 0.327056 | + | 0.634400i | ||||
\(165\) | 20.5316 | + | 16.1462i | 1.59838 | + | 1.25698i | ||||
\(166\) | 17.3873 | − | 1.66028i | 1.34951 | − | 0.128863i | ||||
\(167\) | 15.5086 | − | 2.22979i | 1.20009 | − | 0.172547i | 0.486861 | − | 0.873479i | \(-0.338142\pi\) |
0.713227 | + | 0.700933i | \(0.247233\pi\) | |||||||
\(168\) | 6.17894 | − | 4.35638i | 0.476716 | − | 0.336102i | ||||
\(169\) | −3.98254 | + | 2.55943i | −0.306350 | + | 0.196879i | ||||
\(170\) | 8.68870 | − | 12.2016i | 0.666393 | − | 0.935817i | ||||
\(171\) | −0.213448 | + | 0.879843i | −0.0163227 | + | 0.0672833i | ||||
\(172\) | 4.62851 | − | 1.60194i | 0.352921 | − | 0.122147i | ||||
\(173\) | −1.09005 | + | 5.65570i | −0.0828748 | + | 0.429995i | 0.916665 | + | 0.399657i | \(0.130871\pi\) |
−0.999540 | + | 0.0303385i | \(0.990341\pi\) | |||||||
\(174\) | 1.42140 | + | 4.84084i | 0.107756 | + | 0.366983i | ||||
\(175\) | 3.40590 | − | 13.7567i | 0.257462 | − | 1.03991i | ||||
\(176\) | 1.53563 | + | 2.38948i | 0.115752 | + | 0.180114i | ||||
\(177\) | 6.59896 | + | 27.2013i | 0.496008 | + | 2.04457i | ||||
\(178\) | −0.990879 | − | 0.396688i | −0.0742695 | − | 0.0297330i | ||||
\(179\) | −4.22347 | − | 5.93104i | −0.315677 | − | 0.443307i | 0.626000 | − | 0.779823i | \(-0.284691\pi\) |
−0.941678 | + | 0.336516i | \(0.890751\pi\) | |||||||
\(180\) | −15.4321 | + | 6.17810i | −1.15024 | + | 0.460488i | ||||
\(181\) | −0.423998 | − | 0.272487i | −0.0315155 | − | 0.0202538i | 0.524788 | − | 0.851233i | \(-0.324145\pi\) |
−0.556304 | + | 0.830979i | \(0.687781\pi\) | |||||||
\(182\) | 5.15194 | − | 9.87907i | 0.381887 | − | 0.732285i | ||||
\(183\) | − | 5.36689i | − | 0.396732i | ||||||
\(184\) | 4.38031 | + | 1.95265i | 0.322921 | + | 0.143951i | ||||
\(185\) | −13.2088 | − | 7.62613i | −0.971134 | − | 0.560684i | ||||
\(186\) | 19.0488 | − | 3.67136i | 1.39673 | − | 0.269197i | ||||
\(187\) | −13.2057 | − | 0.629065i | −0.965696 | − | 0.0460018i | ||||
\(188\) | −10.9733 | − | 1.57773i | −0.800313 | − | 0.115068i | ||||
\(189\) | 8.91519 | − | 13.7300i | 0.648484 | − | 0.998708i | ||||
\(190\) | 0.0802754 | + | 0.558327i | 0.00582379 | + | 0.0405053i | ||||
\(191\) | 15.6006 | − | 3.78467i | 1.12882 | − | 0.273849i | 0.372489 | − | 0.928037i | \(-0.378505\pi\) |
0.756332 | + | 0.654188i | \(0.226989\pi\) | |||||||
\(192\) | −2.85427 | + | 0.135966i | −0.205989 | + | 0.00981247i | ||||
\(193\) | −11.2712 | − | 1.07627i | −0.811320 | − | 0.0774717i | −0.318855 | − | 0.947804i | \(-0.603298\pi\) |
−0.492465 | + | 0.870332i | \(0.663904\pi\) | |||||||
\(194\) | −10.2999 | − | 9.82091i | −0.739488 | − | 0.705100i | ||||
\(195\) | −25.3599 | + | 29.2669i | −1.81606 | + | 2.09584i | ||||
\(196\) | 0.267324 | + | 6.99489i | 0.0190946 | + | 0.499635i | ||||
\(197\) | 4.93969 | − | 1.45042i | 0.351938 | − | 0.103338i | −0.100985 | − | 0.994888i | \(-0.532199\pi\) |
0.452923 | + | 0.891550i | \(0.350381\pi\) | |||||||
\(198\) | 11.9511 | + | 8.51032i | 0.849326 | + | 0.604802i | ||||
\(199\) | −0.212591 | − | 4.46284i | −0.0150702 | − | 0.316362i | −0.993798 | − | 0.111200i | \(-0.964531\pi\) |
0.978728 | − | 0.205163i | \(-0.0657723\pi\) | |||||||
\(200\) | −3.87671 | + | 3.69644i | −0.274125 | + | 0.261378i | ||||
\(201\) | −14.6439 | + | 11.5161i | −1.03290 | + | 0.812280i | ||||
\(202\) | −3.85338 | − | 1.75978i | −0.271123 | − | 0.123818i | ||||
\(203\) | −4.47588 | − | 1.33712i | −0.314145 | − | 0.0938475i | ||||
\(204\) | 7.19072 | − | 11.1890i | 0.503451 | − | 0.783385i | ||||
\(205\) | 27.7973 | + | 9.62075i | 1.94145 | + | 0.671943i | ||||
\(206\) | 8.35926 | − | 14.4787i | 0.582417 | − | 1.00878i | ||||
\(207\) | 24.7537 | + | 0.954452i | 1.72050 | + | 0.0663390i | ||||
\(208\) | −3.64699 | + | 2.10559i | −0.252873 | + | 0.145996i | ||||
\(209\) | 0.376253 | − | 0.326025i | 0.0260259 | − | 0.0225516i | ||||
\(210\) | 4.71675 | − | 23.8685i | 0.325487 | − | 1.64708i | ||||
\(211\) | −2.59866 | + | 18.0741i | −0.178899 | + | 1.24427i | 0.680416 | + | 0.732826i | \(0.261799\pi\) |
−0.859316 | + | 0.511446i | \(0.829110\pi\) | |||||||
\(212\) | 0.0140332 | + | 0.146963i | 0.000963807 | + | 0.0100934i | ||||
\(213\) | −11.2102 | + | 28.0016i | −0.768107 | + | 1.91864i | ||||
\(214\) | −11.1765 | − | 11.7216i | −0.764011 | − | 0.801272i | ||||
\(215\) | 7.22265 | − | 14.0100i | 0.492581 | − | 0.955474i | ||||
\(216\) | −5.62831 | + | 2.57036i | −0.382958 | + | 0.174891i | ||||
\(217\) | −6.75404 | + | 16.6436i | −0.458494 | + | 1.12984i | ||||
\(218\) | −1.70291 | − | 1.47558i | −0.115336 | − | 0.0999390i | ||||
\(219\) | −41.9209 | − | 8.07960i | −2.83275 | − | 0.545969i | ||||
\(220\) | 8.88314 | + | 2.15503i | 0.598901 | + | 0.145292i | ||||
\(221\) | 1.86320 | − | 19.5124i | 0.125333 | − | 1.31254i | ||||
\(222\) | −12.0375 | − | 6.20575i | −0.807902 | − | 0.416503i | ||||
\(223\) | −3.84471 | + | 13.0939i | −0.257461 | + | 0.876831i | 0.724744 | + | 0.689018i | \(0.241958\pi\) |
−0.982205 | + | 0.187813i | \(0.939860\pi\) | |||||||
\(224\) | 1.33363 | − | 2.28504i | 0.0891070 | − | 0.152676i | ||||
\(225\) | −11.4938 | + | 25.1680i | −0.766256 | + | 1.67787i | ||||
\(226\) | 6.20178 | + | 15.4913i | 0.412536 | + | 1.03047i | ||||
\(227\) | −17.1747 | + | 8.85415i | −1.13992 | + | 0.587671i | −0.921575 | − | 0.388201i | \(-0.873097\pi\) |
−0.218347 | + | 0.975871i | \(0.570066\pi\) | |||||||
\(228\) | 0.0947874 | + | 0.491803i | 0.00627745 | + | 0.0325705i | ||||
\(229\) | 11.1418 | + | 19.2981i | 0.736269 | + | 1.27525i | 0.954164 | + | 0.299283i | \(0.0967474\pi\) |
−0.217896 | + | 0.975972i | \(0.569919\pi\) | |||||||
\(230\) | 14.5386 | − | 5.17983i | 0.958645 | − | 0.341548i | ||||
\(231\) | −19.9731 | + | 7.88728i | −1.31413 | + | 0.518945i | ||||
\(232\) | 1.15622 | + | 1.33435i | 0.0759096 | + | 0.0876044i | ||||
\(233\) | 0.491105 | − | 10.3096i | 0.0321733 | − | 0.675401i | −0.923963 | − | 0.382481i | \(-0.875070\pi\) |
0.956137 | − | 0.292921i | \(-0.0946272\pi\) | |||||||
\(234\) | −13.4463 | + | 17.0984i | −0.879012 | + | 1.11775i | ||||
\(235\) | −29.0617 | + | 20.6947i | −1.89578 | + | 1.34998i | ||||
\(236\) | 6.05509 | + | 7.69968i | 0.394153 | + | 0.501206i | ||||
\(237\) | 12.0821 | + | 3.54761i | 0.784814 | + | 0.230442i | ||||
\(238\) | 5.06302 | + | 11.2258i | 0.328187 | + | 0.727662i | ||||
\(239\) | −10.3944 | − | 22.7607i | −0.672361 | − | 1.47226i | −0.870539 | − | 0.492099i | \(-0.836230\pi\) |
0.198179 | − | 0.980166i | \(-0.436497\pi\) | |||||||
\(240\) | −6.34590 | + | 6.65539i | −0.409626 | + | 0.429603i | ||||
\(241\) | −2.50346 | − | 7.23326i | −0.161262 | − | 0.465935i | 0.835204 | − | 0.549941i | \(-0.185350\pi\) |
−0.996465 | + | 0.0840058i | \(0.973229\pi\) | |||||||
\(242\) | 0.959037 | + | 2.77096i | 0.0616493 | + | 0.178124i | ||||
\(243\) | 8.50151 | − | 8.91613i | 0.545372 | − | 0.571970i | ||||
\(244\) | −0.780222 | − | 1.70845i | −0.0499486 | − | 0.109372i | ||||
\(245\) | 16.1568 | + | 15.6981i | 1.03222 | + | 1.00291i | ||||
\(246\) | 25.0607 | + | 7.35847i | 1.59781 | + | 0.469159i | ||||
\(247\) | 0.456277 | + | 0.580204i | 0.0290322 | + | 0.0369175i | ||||
\(248\) | 5.53009 | − | 3.93796i | 0.351161 | − | 0.250061i | ||||
\(249\) | 30.8524 | − | 39.2320i | 1.95519 | − | 2.48623i | ||||
\(250\) | −0.0545961 | + | 1.14611i | −0.00345296 | + | 0.0724865i | ||||
\(251\) | 13.1778 | + | 15.2080i | 0.831774 | + | 0.959918i | 0.999665 | − | 0.0258877i | \(-0.00824123\pi\) |
−0.167891 | + | 0.985806i | \(0.553696\pi\) | |||||||
\(252\) | 2.00847 | − | 13.5178i | 0.126522 | − | 0.851541i | ||||
\(253\) | −10.7835 | − | 8.32319i | −0.677951 | − | 0.523275i | ||||
\(254\) | −4.26408 | − | 7.38561i | −0.267552 | − | 0.463414i | ||||
\(255\) | −8.10046 | − | 42.0292i | −0.507271 | − | 2.63197i | ||||
\(256\) | −0.888835 | + | 0.458227i | −0.0555522 | + | 0.0286392i | ||||
\(257\) | −10.3755 | − | 25.9167i | −0.647205 | − | 1.61664i | −0.780206 | − | 0.625523i | \(-0.784886\pi\) |
0.133001 | − | 0.991116i | \(-0.457539\pi\) | |||||||
\(258\) | 5.81404 | − | 12.7310i | 0.361967 | − | 0.792596i | ||||
\(259\) | 10.8888 | − | 6.21857i | 0.676595 | − | 0.386403i | ||||
\(260\) | −3.81811 | + | 13.0033i | −0.236789 | + | 0.806430i | ||||
\(261\) | 8.10610 | + | 4.17898i | 0.501755 | + | 0.258673i | ||||
\(262\) | −1.48943 | + | 15.5980i | −0.0920173 | + | 0.963649i | ||||
\(263\) | 4.04288 | + | 0.980791i | 0.249294 | + | 0.0604782i | 0.358459 | − | 0.933546i | \(-0.383302\pi\) |
−0.109164 | + | 0.994024i | \(0.534818\pi\) | |||||||
\(264\) | 7.96973 | + | 1.53604i | 0.490503 | + | 0.0945367i | ||||
\(265\) | 0.359057 | + | 0.311125i | 0.0220567 | + | 0.0191122i | ||||
\(266\) | −0.429706 | − | 0.174376i | −0.0263469 | − | 0.0106917i | ||||
\(267\) | −2.77430 | + | 1.26698i | −0.169784 | + | 0.0775379i | ||||
\(268\) | −2.98743 | + | 5.79480i | −0.182486 | + | 0.353974i | ||||
\(269\) | 8.11052 | + | 8.50606i | 0.494507 | + | 0.518624i | 0.922937 | − | 0.384951i | \(-0.125782\pi\) |
−0.428430 | + | 0.903575i | \(0.640933\pi\) | |||||||
\(270\) | −7.40062 | + | 18.4859i | −0.450388 | + | 1.12501i | ||||
\(271\) | −0.831399 | − | 8.70680i | −0.0505039 | − | 0.528900i | −0.984955 | − | 0.172810i | \(-0.944715\pi\) |
0.934451 | − | 0.356091i | \(-0.115891\pi\) | |||||||
\(272\) | 0.662410 | − | 4.60716i | 0.0401645 | − | 0.279350i | ||||
\(273\) | −10.2715 | − | 30.1352i | −0.621660 | − | 1.82386i | ||||
\(274\) | −2.22365 | + | 1.92680i | −0.134335 | + | 0.116402i | ||||
\(275\) | 13.1763 | − | 7.60732i | 0.794558 | − | 0.458738i | ||||
\(276\) | 12.6758 | − | 5.20837i | 0.762993 | − | 0.313507i | ||||
\(277\) | 7.91451 | − | 13.7083i | 0.475537 | − | 0.823654i | −0.524070 | − | 0.851675i | \(-0.675587\pi\) |
0.999607 | + | 0.0280207i | \(0.00892044\pi\) | |||||||
\(278\) | −12.2098 | − | 4.22584i | −0.732293 | − | 0.253449i | ||||
\(279\) | 18.9587 | − | 29.5003i | 1.13503 | − | 1.76614i | ||||
\(280\) | −1.96844 | − | 8.28378i | −0.117637 | − | 0.495051i | ||||
\(281\) | 23.9070 | + | 10.9180i | 1.42617 | + | 0.651312i | 0.970998 | − | 0.239090i | \(-0.0768489\pi\) |
0.455176 | + | 0.890401i | \(0.349576\pi\) | |||||||
\(282\) | −24.9012 | + | 19.5825i | −1.48285 | + | 1.16612i | ||||
\(283\) | 9.98450 | − | 9.52020i | 0.593517 | − | 0.565917i | −0.332641 | − | 0.943054i | \(-0.607940\pi\) |
0.926158 | + | 0.377136i | \(0.123091\pi\) | |||||||
\(284\) | 0.502248 | + | 10.5435i | 0.0298029 | + | 0.625640i | ||||
\(285\) | 1.31296 | + | 0.934953i | 0.0777729 | + | 0.0553818i | ||||
\(286\) | 11.4769 | − | 3.36991i | 0.678640 | − | 0.199267i | ||||
\(287\) | −18.3506 | + | 15.7505i | −1.08320 | + | 0.929723i | ||||
\(288\) | −3.38258 | + | 3.90370i | −0.199320 | + | 0.230028i | ||||
\(289\) | 3.37602 | + | 3.21903i | 0.198590 | + | 0.189355i | ||||
\(290\) | 5.65625 | + | 0.540106i | 0.332146 | + | 0.0317161i | ||||
\(291\) | −40.6207 | + | 1.93500i | −2.38123 | + | 0.113432i | ||||
\(292\) | −14.5193 | + | 3.52235i | −0.849678 | + | 0.206130i | ||||
\(293\) | −1.33218 | − | 9.26552i | −0.0778268 | − | 0.541297i | −0.991014 | − | 0.133757i | \(-0.957296\pi\) |
0.913187 | − | 0.407540i | \(-0.133613\pi\) | |||||||
\(294\) | 14.9931 | + | 13.2404i | 0.874415 | + | 0.772197i | ||||
\(295\) | 31.2022 | + | 4.48620i | 1.81666 | + | 0.261196i | ||||
\(296\) | −4.73407 | − | 0.225512i | −0.275162 | − | 0.0131076i | ||||
\(297\) | 17.2571 | − | 3.32604i | 1.00136 | − | 0.192997i | ||||
\(298\) | 5.66827 | + | 3.27258i | 0.328354 | + | 0.189575i | ||||
\(299\) | 13.0868 | − | 15.3824i | 0.756830 | − | 0.889588i | ||||
\(300\) | 15.3063i | 0.883712i | ||||||||
\(301\) | 6.95463 | + | 10.9343i | 0.400858 | + | 0.630242i | ||||
\(302\) | 4.10237 | + | 2.63643i | 0.236065 | + | 0.151710i | ||||
\(303\) | −11.2379 | + | 4.49896i | −0.645598 | + | 0.258458i | ||||
\(304\) | 0.101671 | + | 0.142776i | 0.00583121 | + | 0.00818878i | ||||
\(305\) | −5.61130 | − | 2.24643i | −0.321302 | − | 0.128630i | ||||
\(306\) | −5.66818 | − | 23.3645i | −0.324028 | − | 1.33566i | ||||
\(307\) | −6.61212 | − | 10.2887i | −0.377374 | − | 0.587205i | 0.599669 | − | 0.800248i | \(-0.295299\pi\) |
−0.977043 | + | 0.213043i | \(0.931663\pi\) | |||||||
\(308\) | −5.21142 | + | 5.41438i | −0.296948 | + | 0.308513i | ||||
\(309\) | −13.4593 | − | 45.8381i | −0.765671 | − | 2.60764i | ||||
\(310\) | 4.13473 | − | 21.4530i | 0.234837 | − | 1.21845i | ||||
\(311\) | 28.0300 | − | 9.70129i | 1.58944 | − | 0.550109i | 0.617749 | − | 0.786376i | \(-0.288045\pi\) |
0.971688 | + | 0.236266i | \(0.0759238\pi\) | |||||||
\(312\) | −2.83700 | + | 11.6943i | −0.160613 | + | 0.662058i | ||||
\(313\) | −16.5396 | + | 23.2266i | −0.934874 | + | 1.31285i | 0.0148936 | + | 0.999889i | \(0.495259\pi\) |
−0.949767 | + | 0.312957i | \(0.898680\pi\) | |||||||
\(314\) | −6.64417 | + | 4.26995i | −0.374952 | + | 0.240967i | ||||
\(315\) | −25.3422 | − | 35.9446i | −1.42787 | − | 2.02525i | ||||
\(316\) | 4.36183 | − | 0.627137i | 0.245372 | − | 0.0352792i | ||||
\(317\) | −3.72879 | + | 0.356056i | −0.209430 | + | 0.0199981i | −0.199243 | − | 0.979950i | \(-0.563848\pi\) |
−0.0101861 | + | 0.999948i | \(0.503242\pi\) | |||||||
\(318\) | 0.331602 | + | 0.260775i | 0.0185953 | + | 0.0146235i | ||||
\(319\) | −2.29799 | − | 4.45749i | −0.128663 | − | 0.249571i | ||||
\(320\) | −1.05256 | + | 3.04116i | −0.0588397 | + | 0.170006i | ||||
\(321\) | −46.2801 | −2.58311 | ||||||||
\(322\) | −2.34698 | + | 12.4696i | −0.130792 | + | 0.694905i | ||||
\(323\) | −0.815833 | −0.0453942 | ||||||||
\(324\) | −0.714540 | + | 2.06453i | −0.0396967 | + | 0.114696i | ||||
\(325\) | 10.3364 | + | 20.0498i | 0.573360 | + | 1.11216i | ||||
\(326\) | −6.88861 | − | 5.41726i | −0.381525 | − | 0.300034i | ||||
\(327\) | −6.40959 | + | 0.612042i | −0.354451 | + | 0.0338460i | ||||
\(328\) | 9.04733 | − | 1.30081i | 0.499555 | − | 0.0718252i | ||||
\(329\) | −2.65083 | − | 29.2112i | −0.146145 | − | 1.61047i | ||||
\(330\) | 21.9734 | − | 14.1215i | 1.20960 | − | 0.777362i | ||||
\(331\) | 16.3785 | − | 23.0003i | 0.900242 | − | 1.26421i | −0.0636647 | − | 0.997971i | \(-0.520279\pi\) |
0.963906 | − | 0.266241i | \(-0.0857818\pi\) | |||||||
\(332\) | 4.11785 | − | 16.9740i | 0.225996 | − | 0.931569i | ||||
\(333\) | −23.1344 | + | 8.00688i | −1.26776 | + | 0.438774i | ||||
\(334\) | 2.96520 | − | 15.3849i | 0.162248 | − | 0.841824i | ||||
\(335\) | 5.91100 | + | 20.1310i | 0.322953 | + | 1.09988i | ||||
\(336\) | −2.09585 | − | 7.26394i | −0.114338 | − | 0.396280i | ||||
\(337\) | −6.06217 | − | 9.43292i | −0.330227 | − | 0.513844i | 0.635947 | − | 0.771733i | \(-0.280610\pi\) |
−0.966175 | + | 0.257889i | \(0.916973\pi\) | |||||||
\(338\) | 1.11610 | + | 4.60061i | 0.0607077 | + | 0.250240i | ||||
\(339\) | 44.2665 | + | 17.7216i | 2.40422 | + | 0.962506i | ||||
\(340\) | −8.68870 | − | 12.2016i | −0.471211 | − | 0.661723i | ||||
\(341\) | −17.9018 | + | 7.16682i | −0.969439 | + | 0.388105i | ||||
\(342\) | 0.761641 | + | 0.489477i | 0.0411848 | + | 0.0264679i | ||||
\(343\) | −17.8419 | + | 4.96665i | −0.963370 | + | 0.268174i | ||||
\(344\) | − | 4.89789i | − | 0.264077i | ||||||
\(345\) | 17.9564 | − | 40.2809i | 0.966740 | − | 2.16865i | ||||
\(346\) | 4.98812 | + | 2.87989i | 0.268163 | + | 0.154824i | ||||
\(347\) | 11.7226 | − | 2.25934i | 0.629300 | − | 0.121288i | 0.135378 | − | 0.990794i | \(-0.456775\pi\) |
0.493922 | + | 0.869506i | \(0.335563\pi\) | |||||||
\(348\) | 5.03949 | + | 0.240061i | 0.270145 | + | 0.0128686i | ||||
\(349\) | 6.11908 | + | 0.879790i | 0.327547 | + | 0.0470941i | 0.304127 | − | 0.952632i | \(-0.401635\pi\) |
0.0234200 | + | 0.999726i | \(0.492544\pi\) | |||||||
\(350\) | −11.8862 | − | 7.71796i | −0.635342 | − | 0.412543i | ||||
\(351\) | 3.70823 | + | 25.7913i | 0.197931 | + | 1.37664i | ||||
\(352\) | 2.76032 | − | 0.669646i | 0.147125 | − | 0.0356922i | ||||
\(353\) | −9.33284 | + | 0.444578i | −0.496737 | + | 0.0236625i | −0.294456 | − | 0.955665i | \(-0.595138\pi\) |
−0.202281 | + | 0.979328i | \(0.564835\pi\) | |||||||
\(354\) | 27.8636 | + | 2.66065i | 1.48093 | + | 0.141412i | ||||
\(355\) | 24.5846 | + | 23.4413i | 1.30481 | + | 1.24414i | ||||
\(356\) | −0.698955 | + | 0.806637i | −0.0370445 | + | 0.0427517i | ||||
\(357\) | 33.1996 | + | 11.6655i | 1.75711 | + | 0.617406i | ||||
\(358\) | −6.98620 | + | 2.05133i | −0.369232 | + | 0.108416i | ||||
\(359\) | −16.4398 | − | 11.7068i | −0.867661 | − | 0.617859i | 0.0571159 | − | 0.998368i | \(-0.481810\pi\) |
−0.924777 | + | 0.380509i | \(0.875749\pi\) | |||||||
\(360\) | 0.790948 | + | 16.6040i | 0.0416866 | + | 0.875110i | ||||
\(361\) | −13.7287 | + | 13.0903i | −0.722564 | + | 0.688963i | ||||
\(362\) | −0.396176 | + | 0.311556i | −0.0208226 | + | 0.0163750i | ||||
\(363\) | 7.62167 | + | 3.48070i | 0.400034 | + | 0.182689i | ||||
\(364\) | −7.65069 | − | 8.09971i | −0.401005 | − | 0.424540i | ||||
\(365\) | −25.9944 | + | 40.4481i | −1.36061 | + | 2.11715i | ||||
\(366\) | −5.07172 | − | 1.75534i | −0.265103 | − | 0.0917530i | ||||
\(367\) | 4.42387 | − | 7.66237i | 0.230924 | − | 0.399972i | −0.727156 | − | 0.686472i | \(-0.759158\pi\) |
0.958080 | + | 0.286500i | \(0.0924918\pi\) | |||||||
\(368\) | 3.27792 | − | 3.50075i | 0.170873 | − | 0.182489i | ||||
\(369\) | 40.8877 | − | 23.6065i | 2.12853 | − | 1.22891i | ||||
\(370\) | −11.5269 | + | 9.98811i | −0.599255 | + | 0.519257i | ||||
\(371\) | −0.369709 | + | 0.126015i | −0.0191944 | + | 0.00654236i | ||||
\(372\) | 2.76082 | − | 19.2019i | 0.143142 | − | 0.995573i | ||||
\(373\) | −2.02887 | − | 21.2473i | −0.105051 | − | 1.10014i | −0.882216 | − | 0.470845i | \(-0.843949\pi\) |
0.777165 | − | 0.629296i | \(-0.216657\pi\) | |||||||
\(374\) | −4.91363 | + | 12.2736i | −0.254078 | + | 0.634655i | ||||
\(375\) | 2.26259 | + | 2.37293i | 0.116839 | + | 0.122538i | ||||
\(376\) | −5.07998 | + | 9.85379i | −0.261980 | + | 0.508170i | ||||
\(377\) | 6.76335 | − | 3.08872i | 0.348330 | − | 0.159077i | ||||
\(378\) | −10.0590 | − | 12.9155i | −0.517377 | − | 0.664301i | ||||
\(379\) | 3.46828 | + | 3.00528i | 0.178153 | + | 0.154371i | 0.739373 | − | 0.673296i | \(-0.235122\pi\) |
−0.561219 | + | 0.827667i | \(0.689668\pi\) | |||||||
\(380\) | 0.553875 | + | 0.106751i | 0.0284132 | + | 0.00547620i | ||||
\(381\) | −23.6823 | − | 5.74528i | −1.21328 | − | 0.294339i | ||||
\(382\) | 1.52595 | − | 15.9804i | 0.0780742 | − | 0.817630i | ||||
\(383\) | 26.9300 | + | 13.8834i | 1.37606 | + | 0.709407i | 0.978127 | − | 0.208008i | \(-0.0666979\pi\) |
0.397931 | + | 0.917415i | \(0.369728\pi\) | |||||||
\(384\) | −0.805052 | + | 2.74176i | −0.0410826 | + | 0.139915i | ||||
\(385\) | −0.113683 | + | 24.1840i | −0.00579382 | + | 1.23253i | ||||
\(386\) | −4.70353 | + | 10.2993i | −0.239403 | + | 0.524220i | ||||
\(387\) | −9.40278 | − | 23.4870i | −0.477970 | − | 1.19391i | ||||
\(388\) | −12.6495 | + | 6.52129i | −0.642183 | + | 0.331068i | ||||
\(389\) | 1.77211 | + | 9.19458i | 0.0898496 | + | 0.466184i | 0.998786 | + | 0.0492501i | \(0.0156831\pi\) |
−0.908937 | + | 0.416934i | \(0.863105\pi\) | |||||||
\(390\) | 19.3628 | + | 33.5374i | 0.980474 | + | 1.69823i | ||||
\(391\) | 4.42297 | + | 21.8798i | 0.223679 | + | 1.10651i | ||||
\(392\) | 6.69761 | + | 2.03518i | 0.338281 | + | 0.102792i | ||||
\(393\) | 29.3208 | + | 33.8381i | 1.47904 | + | 1.70690i | ||||
\(394\) | 0.244962 | − | 5.14239i | 0.0123410 | − | 0.259070i | ||||
\(395\) | 8.76637 | − | 11.1473i | 0.441084 | − | 0.560884i | ||||
\(396\) | 11.9511 | − | 8.51032i | 0.600564 | − | 0.427660i | ||||
\(397\) | 4.97019 | + | 6.32011i | 0.249447 | + | 0.317197i | 0.894610 | − | 0.446847i | \(-0.147453\pi\) |
−0.645164 | + | 0.764044i | \(0.723211\pi\) | |||||||
\(398\) | −4.28692 | − | 1.25875i | −0.214884 | − | 0.0630955i | ||||
\(399\) | −1.20796 | + | 0.544809i | −0.0604737 | + | 0.0272746i | ||||
\(400\) | 2.22519 | + | 4.87248i | 0.111259 | + | 0.243624i | ||||
\(401\) | −5.22281 | + | 5.47752i | −0.260815 | + | 0.273534i | −0.841101 | − | 0.540878i | \(-0.818092\pi\) |
0.580287 | + | 0.814412i | \(0.302941\pi\) | |||||||
\(402\) | 6.09315 | + | 17.6050i | 0.303899 | + | 0.878058i | ||||
\(403\) | −9.35067 | − | 27.0170i | −0.465790 | − | 1.34581i | ||||
\(404\) | −2.92331 | + | 3.06588i | −0.145440 | + | 0.152533i | ||||
\(405\) | 2.92064 | + | 6.39532i | 0.145128 | + | 0.317786i | ||||
\(406\) | −2.72750 | + | 3.79238i | −0.135363 | + | 0.188213i | ||||
\(407\) | 12.9165 | + | 3.79263i | 0.640248 | + | 0.187994i | ||||
\(408\) | −8.22174 | − | 10.4548i | −0.407037 | − | 0.517589i | ||||
\(409\) | −18.3237 | + | 13.0483i | −0.906050 | + | 0.645195i | −0.935101 | − | 0.354383i | \(-0.884691\pi\) |
0.0290503 | + | 0.999578i | \(0.490752\pi\) | |||||||
\(410\) | 18.1832 | − | 23.1219i | 0.898006 | − | 1.14191i | ||||
\(411\) | −0.400052 | + | 8.39813i | −0.0197331 | + | 0.414249i | ||||
\(412\) | −10.9483 | − | 12.6350i | −0.539384 | − | 0.622482i | ||||
\(413\) | −16.1159 | + | 20.2959i | −0.793009 | + | 0.998696i | ||||
\(414\) | 8.99810 | − | 23.0801i | 0.442232 | − | 1.13432i | ||||
\(415\) | −28.1047 | − | 48.6788i | −1.37961 | − | 2.38955i | ||||
\(416\) | 0.796972 | + | 4.13508i | 0.0390747 | + | 0.202739i | ||||
\(417\) | −32.8159 | + | 16.9177i | −1.60700 | + | 0.828466i | ||||
\(418\) | −0.185033 | − | 0.462191i | −0.00905028 | − | 0.0226065i | ||||
\(419\) | −1.03861 | + | 2.27423i | −0.0507393 | + | 0.111104i | −0.933304 | − | 0.359088i | \(-0.883088\pi\) |
0.882564 | + | 0.470191i | \(0.155815\pi\) | |||||||
\(420\) | −21.0130 | − | 12.2639i | −1.02533 | − | 0.598419i | ||||
\(421\) | 2.15083 | − | 7.32507i | 0.104825 | − | 0.357002i | −0.890330 | − | 0.455315i | \(-0.849527\pi\) |
0.995156 | + | 0.0983133i | \(0.0313447\pi\) | |||||||
\(422\) | 16.2301 | + | 8.36719i | 0.790068 | + | 0.407308i | ||||
\(423\) | −5.44327 | + | 57.0046i | −0.264661 | + | 2.77166i | ||||
\(424\) | 0.143470 | + | 0.0348054i | 0.00696751 | + | 0.00169030i | ||||
\(425\) | −24.4817 | − | 4.71846i | −1.18754 | − | 0.228879i | ||||
\(426\) | 22.7951 | + | 19.7520i | 1.10442 | + | 0.956989i | ||||
\(427\) | 3.92044 | − | 3.05335i | 0.189723 | − | 0.147762i | ||||
\(428\) | −14.7324 | + | 6.72806i | −0.712117 | + | 0.325213i | ||||
\(429\) | 15.6620 | − | 30.3801i | 0.756170 | − | 1.46677i | ||||
\(430\) | −10.8772 | − | 11.4076i | −0.524543 | − | 0.550125i | ||||
\(431\) | −3.85461 | + | 9.62835i | −0.185670 | + | 0.463781i | −0.991775 | − | 0.127991i | \(-0.959147\pi\) |
0.806105 | + | 0.591772i | \(0.201571\pi\) | |||||||
\(432\) | 0.588155 | + | 6.15944i | 0.0282976 | + | 0.296346i | ||||
\(433\) | 1.50244 | − | 10.4497i | 0.0722027 | − | 0.502181i | −0.921343 | − | 0.388750i | \(-0.872907\pi\) |
0.993546 | − | 0.113431i | \(-0.0361840\pi\) | |||||||
\(434\) | 13.5192 | + | 11.8262i | 0.648941 | + | 0.567674i | ||||
\(435\) | 12.2706 | − | 10.6325i | 0.588328 | − | 0.509789i | ||||
\(436\) | −1.95139 | + | 1.12664i | −0.0934548 | + | 0.0539562i | ||||
\(437\) | −0.689121 | − | 0.481371i | −0.0329651 | − | 0.0230271i | ||||
\(438\) | −21.3462 | + | 36.9727i | −1.01996 | + | 1.76663i | ||||
\(439\) | 4.15176 | + | 1.43694i | 0.198153 | + | 0.0685813i | 0.424342 | − | 0.905502i | \(-0.360505\pi\) |
−0.226189 | + | 0.974083i | \(0.572627\pi\) | |||||||
\(440\) | 4.94189 | − | 7.68973i | 0.235595 | − | 0.366594i | ||||
\(441\) | 36.0243 | − | 3.09844i | 1.71545 | − | 0.147545i | ||||
\(442\) | −17.8298 | − | 8.14260i | −0.848077 | − | 0.387304i | ||||
\(443\) | −5.40757 | + | 4.25256i | −0.256922 | + | 0.202045i | −0.738309 | − | 0.674463i | \(-0.764375\pi\) |
0.481388 | + | 0.876508i | \(0.340133\pi\) | |||||||
\(444\) | −9.80151 | + | 9.34572i | −0.465159 | + | 0.443528i | ||||
\(445\) | 0.163437 | + | 3.43096i | 0.00774764 | + | 0.162643i | ||||
\(446\) | 11.1162 | + | 7.91584i | 0.526370 | + | 0.374826i | ||||
\(447\) | 17.9452 | − | 5.26920i | 0.848780 | − | 0.249224i | ||||
\(448\) | −1.72318 | − | 2.00765i | −0.0814126 | − | 0.0948524i | ||||
\(449\) | −6.59263 | + | 7.60830i | −0.311125 | + | 0.359058i | −0.889679 | − | 0.456586i | \(-0.849072\pi\) |
0.578554 | + | 0.815644i | \(0.303617\pi\) | |||||||
\(450\) | 20.0245 | + | 19.0933i | 0.943965 | + | 0.900069i | ||||
\(451\) | −25.8446 | − | 2.46786i | −1.21697 | − | 0.116207i | ||||
\(452\) | 16.6677 | − | 0.793980i | 0.783982 | − | 0.0373457i | ||||
\(453\) | 13.5418 | − | 3.28521i | 0.636250 | − | 0.154352i | ||||
\(454\) | 2.74990 | + | 19.1260i | 0.129059 | + | 0.897626i | ||||
\(455\) | −35.8069 | − | 1.87443i | −1.67865 | − | 0.0878746i | ||||
\(456\) | 0.495757 | + | 0.0712790i | 0.0232159 | + | 0.00333795i | ||||
\(457\) | −3.19571 | − | 0.152230i | −0.149489 | − | 0.00712103i | −0.0272959 | − | 0.999627i | \(-0.508690\pi\) |
−0.122193 | + | 0.992506i | \(0.538993\pi\) | |||||||
\(458\) | 21.8808 | − | 4.21719i | 1.02242 | − | 0.197056i | ||||
\(459\) | −24.9413 | − | 14.3999i | −1.16416 | − | 0.672129i | ||||
\(460\) | −0.139843 | − | 15.4331i | −0.00652022 | − | 0.719573i | ||||
\(461\) | 18.3491i | 0.854602i | 0.904110 | + | 0.427301i | \(0.140535\pi\) | ||||
−0.904110 | + | 0.427301i | \(0.859465\pi\) | |||||||
\(462\) | 0.920934 | + | 21.4542i | 0.0428457 | + | 0.998142i | ||||
\(463\) | −5.88986 | − | 3.78518i | −0.273725 | − | 0.175912i | 0.396576 | − | 0.918002i | \(-0.370198\pi\) |
−0.670301 | + | 0.742090i | \(0.733835\pi\) | |||||||
\(464\) | 1.63912 | − | 0.656207i | 0.0760945 | − | 0.0304636i | ||||
\(465\) | −36.2131 | − | 50.8542i | −1.67934 | − | 2.35831i | ||||
\(466\) | −9.58191 | − | 3.83602i | −0.443874 | − | 0.177700i | ||||
\(467\) | 4.75059 | + | 19.5822i | 0.219831 | + | 0.906156i | 0.969647 | + | 0.244510i | \(0.0786270\pi\) |
−0.749816 | + | 0.661647i | \(0.769858\pi\) | |||||||
\(468\) | 11.7601 | + | 18.2991i | 0.543611 | + | 0.845876i | ||||
\(469\) | −16.7435 | − | 4.14538i | −0.773145 | − | 0.191416i | ||||
\(470\) | 10.0514 | + | 34.2319i | 0.463636 | + | 1.57900i | ||||
\(471\) | −4.27110 | + | 22.1606i | −0.196802 | + | 1.02111i | ||||
\(472\) | 9.25663 | − | 3.20375i | 0.426071 | − | 0.147465i | ||||
\(473\) | −3.27985 | + | 13.5197i | −0.150808 | + | 0.621638i | ||||
\(474\) | 7.30415 | − | 10.2572i | 0.335491 | − | 0.471131i | ||||
\(475\) | 0.789835 | − | 0.507596i | 0.0362401 | − | 0.0232901i | ||||
\(476\) | 12.2644 | − | 1.11295i | 0.562136 | − | 0.0510121i | ||||
\(477\) | 0.754803 | − | 0.108524i | 0.0345601 | − | 0.00496899i | ||||
\(478\) | −24.9085 | + | 2.37848i | −1.13929 | + | 0.108789i | ||||
\(479\) | 0.0503626 | + | 0.0396056i | 0.00230112 | + | 0.00180962i | 0.619309 | − | 0.785147i | \(-0.287413\pi\) |
−0.617008 | + | 0.786957i | \(0.711655\pi\) | |||||||
\(480\) | 4.21381 | + | 8.17365i | 0.192333 | + | 0.373074i | ||||
\(481\) | −6.52783 | + | 18.8609i | −0.297644 | + | 0.859985i | ||||
\(482\) | −7.65424 | −0.348641 | ||||||||
\(483\) | 21.1601 | + | 29.4426i | 0.962818 | + | 1.33969i | ||||
\(484\) | 2.93223 | 0.133283 | ||||||||
\(485\) | −14.9795 | + | 43.2805i | −0.680186 | + | 1.96527i | ||||
\(486\) | −5.64518 | − | 10.9501i | −0.256070 | − | 0.496707i | ||||
\(487\) | 19.3958 | + | 15.2530i | 0.878907 | + | 0.691180i | 0.951984 | − | 0.306146i | \(-0.0990397\pi\) |
−0.0730776 | + | 0.997326i | \(0.523282\pi\) | |||||||
\(488\) | −1.86967 | + | 0.178532i | −0.0846360 | + | 0.00808176i | ||||
\(489\) | −24.7870 | + | 3.56383i | −1.12091 | + | 0.161162i | ||||
\(490\) | 20.1191 | − | 10.1338i | 0.908886 | − | 0.457799i | ||||
\(491\) | −3.30252 | + | 2.12240i | −0.149041 | + | 0.0957827i | −0.613036 | − | 0.790055i | \(-0.710052\pi\) |
0.463995 | + | 0.885838i | \(0.346416\pi\) | |||||||
\(492\) | 15.1503 | − | 21.2756i | 0.683028 | − | 0.959179i | ||||
\(493\) | −1.93748 | + | 7.98639i | −0.0872596 | + | 0.359689i | ||||
\(494\) | 0.697527 | − | 0.241416i | 0.0313832 | − | 0.0108618i | ||||
\(495\) | 8.93556 | − | 46.3621i | 0.401623 | − | 2.08382i | ||||
\(496\) | −1.91266 | − | 6.51392i | −0.0858810 | − | 0.292484i | ||||
\(497\) | −26.8325 | + | 7.74191i | −1.20360 | + | 0.347272i | ||||
\(498\) | −26.9835 | − | 41.9871i | −1.20916 | − | 1.88149i | ||||
\(499\) | 1.97063 | + | 8.12305i | 0.0882175 | + | 0.363637i | 0.998760 | − | 0.0497772i | \(-0.0158511\pi\) |
−0.910543 | + | 0.413415i | \(0.864336\pi\) | |||||||
\(500\) | 1.06522 | + | 0.426450i | 0.0476381 | + | 0.0190714i | ||||
\(501\) | −25.9700 | − | 36.4698i | −1.16025 | − | 1.62935i | ||||
\(502\) | 18.6816 | − | 7.47897i | 0.833799 | − | 0.333803i | ||||
\(503\) | 9.99750 | + | 6.42500i | 0.445766 | + | 0.286477i | 0.744204 | − | 0.667953i | \(-0.232829\pi\) |
−0.298438 | + | 0.954429i | \(0.596465\pi\) | |||||||
\(504\) | −12.1174 | − | 6.31924i | −0.539753 | − | 0.281481i | ||||
\(505\) | 13.6328i | 0.606650i | ||||||||
\(506\) | −11.3924 | + | 7.46814i | −0.506452 | + | 0.331999i | ||||
\(507\) | 11.7152 | + | 6.76380i | 0.520292 | + | 0.300391i | ||||
\(508\) | −8.37405 | + | 1.61397i | −0.371538 | + | 0.0716082i | ||||
\(509\) | 35.2366 | + | 1.67853i | 1.56184 | + | 0.0743995i | 0.810587 | − | 0.585618i | \(-0.199148\pi\) |
0.751250 | + | 0.660018i | \(0.229451\pi\) | |||||||
\(510\) | −42.3670 | − | 6.09146i | −1.87604 | − | 0.269734i | ||||
\(511\) | −17.9478 | − | 35.2193i | −0.793962 | − | 1.55801i | ||||
\(512\) | 0.142315 | + | 0.989821i | 0.00628949 | + | 0.0437443i | ||||
\(513\) | 1.05395 | − | 0.255685i | 0.0465329 | − | 0.0112888i | ||||
\(514\) | −27.8848 | + | 1.32832i | −1.22994 | + | 0.0585895i | ||||
\(515\) | −53.5592 | − | 5.11428i | −2.36010 | − | 0.225362i | ||||
\(516\) | −10.1292 | − | 9.65817i | −0.445913 | − | 0.425177i | ||||
\(517\) | 20.6209 | − | 23.7978i | 0.906906 | − | 1.04663i | ||||
\(518\) | −2.31519 | − | 12.3238i | −0.101724 | − | 0.541476i | ||||
\(519\) | 15.7919 | − | 4.63693i | 0.693189 | − | 0.203539i | ||||
\(520\) | 11.0393 | + | 7.86108i | 0.484107 | + | 0.344731i | ||||
\(521\) | −0.520248 | − | 10.9214i | −0.0227925 | − | 0.478473i | −0.981191 | − | 0.193040i | \(-0.938165\pi\) |
0.958398 | − | 0.285434i | \(-0.0921377\pi\) | |||||||
\(522\) | 6.60039 | − | 6.29346i | 0.288891 | − | 0.275457i | ||||
\(523\) | 6.53235 | − | 5.13710i | 0.285640 | − | 0.224630i | −0.465050 | − | 0.885284i | \(-0.653964\pi\) |
0.750690 | + | 0.660655i | \(0.229721\pi\) | |||||||
\(524\) | 14.2530 | + | 6.50913i | 0.622645 | + | 0.284353i | ||||
\(525\) | −39.3997 | + | 9.36238i | −1.71954 | + | 0.408608i | ||||
\(526\) | 2.24914 | − | 3.49974i | 0.0980673 | − | 0.152596i | ||||
\(527\) | 29.8614 | + | 10.3351i | 1.30078 | + | 0.450205i | ||||
\(528\) | 4.05820 | − | 7.02902i | 0.176611 | − | 0.305899i | ||||
\(529\) | −9.17386 | + | 21.0912i | −0.398863 | + | 0.917010i | ||||
\(530\) | 0.411449 | − | 0.237550i | 0.0178722 | − | 0.0103185i | ||||
\(531\) | 38.2382 | − | 33.1336i | 1.65939 | − | 1.43787i | ||||
\(532\) | −0.305329 | + | 0.349039i | −0.0132377 | + | 0.0151328i | ||||
\(533\) | 5.47795 | − | 38.1000i | 0.237276 | − | 1.65029i | ||||
\(534\) | 0.289913 | + | 3.03610i | 0.0125457 | + | 0.131385i | ||||
\(535\) | −19.3715 | + | 48.3877i | −0.837504 | + | 2.09198i | ||||
\(536\) | 4.49900 | + | 4.71841i | 0.194327 | + | 0.203804i | ||||
\(537\) | −9.53381 | + | 18.4930i | −0.411414 | + | 0.798032i | ||||
\(538\) | 10.6909 | − | 4.88238i | 0.460919 | − | 0.210494i | ||||
\(539\) | −17.1247 | − | 10.1028i | −0.737612 | − | 0.435158i | ||||
\(540\) | 15.0487 | + | 13.0397i | 0.647591 | + | 0.561141i | ||||
\(541\) | −8.44163 | − | 1.62699i | −0.362934 | − | 0.0699498i | 0.00452446 | − | 0.999990i | \(-0.498560\pi\) |
−0.367458 | + | 0.930040i | \(0.619772\pi\) | |||||||
\(542\) | −8.49986 | − | 2.06204i | −0.365100 | − | 0.0885723i | ||||
\(543\) | −0.136900 | + | 1.43368i | −0.00587494 | + | 0.0615251i | ||||
\(544\) | −4.13712 | − | 2.13283i | −0.177378 | − | 0.0914445i | ||||
\(545\) | −2.04295 | + | 6.95766i | −0.0875106 | + | 0.298034i | ||||
\(546\) | −31.8372 | − | 0.149659i | −1.36251 | − | 0.00640480i | ||||
\(547\) | 1.02419 | − | 2.24267i | 0.0437913 | − | 0.0958895i | −0.886472 | − | 0.462782i | \(-0.846851\pi\) |
0.930263 | + | 0.366893i | \(0.119578\pi\) | |||||||
\(548\) | 1.09354 | + | 2.73154i | 0.0467139 | + | 0.116686i | ||||
\(549\) | −8.62295 | + | 4.44544i | −0.368018 | + | 0.189727i | ||||
\(550\) | −2.87939 | − | 14.9397i | −0.122778 | − | 0.637030i | ||||
\(551\) | −0.154734 | − | 0.268008i | −0.00659190 | − | 0.0114175i | ||||
\(552\) | −0.776072 | − | 13.6821i | −0.0330318 | − | 0.582350i | ||||
\(553\) | 4.28228 | + | 10.8441i | 0.182101 | + | 0.461137i | ||||
\(554\) | −10.3658 | − | 11.9628i | −0.440401 | − | 0.508250i | ||||
\(555\) | −2.07378 | + | 43.5341i | −0.0880272 | + | 1.84792i | ||||
\(556\) | −7.98685 | + | 10.1561i | −0.338718 | + | 0.430715i | ||||
\(557\) | 3.97941 | − | 2.83372i | 0.168613 | − | 0.120069i | −0.492635 | − | 0.870236i | \(-0.663966\pi\) |
0.661248 | + | 0.750167i | \(0.270027\pi\) | |||||||
\(558\) | −21.6770 | − | 27.5646i | −0.917661 | − | 1.16690i | ||||
\(559\) | −19.7904 | − | 5.81099i | −0.837046 | − | 0.245779i | ||||
\(560\) | −8.47199 | − | 0.849183i | −0.358007 | − | 0.0358845i | ||||
\(561\) | 15.6936 | + | 34.3642i | 0.662584 | + | 1.45086i | ||||
\(562\) | 18.1367 | − | 19.0212i | 0.765051 | − | 0.802363i | ||||
\(563\) | −4.01825 | − | 11.6100i | −0.169349 | − | 0.489301i | 0.828108 | − | 0.560568i | \(-0.189417\pi\) |
−0.997457 | + | 0.0712665i | \(0.977296\pi\) | |||||||
\(564\) | 10.3611 | + | 29.9365i | 0.436282 | + | 1.26055i | ||||
\(565\) | 37.0573 | − | 38.8646i | 1.55901 | − | 1.63505i | ||||
\(566\) | −5.73099 | − | 12.5491i | −0.240891 | − | 0.527479i | ||||
\(567\) | −5.75131 | − | 0.576478i | −0.241532 | − | 0.0242098i | ||||
\(568\) | 10.1279 | + | 2.97381i | 0.424956 | + | 0.124778i | ||||
\(569\) | 14.9668 | + | 19.0318i | 0.627441 | + | 0.797856i | 0.991021 | − | 0.133707i | \(-0.0426880\pi\) |
−0.363580 | + | 0.931563i | \(0.618446\pi\) | |||||||
\(570\) | 1.31296 | − | 0.934953i | 0.0549937 | − | 0.0391609i | ||||
\(571\) | −19.2744 | + | 24.5095i | −0.806611 | + | 1.02569i | 0.192404 | + | 0.981316i | \(0.438371\pi\) |
−0.999015 | + | 0.0443731i | \(0.985871\pi\) | |||||||
\(572\) | 0.569145 | − | 11.9478i | 0.0237971 | − | 0.499564i | ||||
\(573\) | −30.0397 | − | 34.6677i | −1.25493 | − | 1.44826i | ||||
\(574\) | 8.88233 | + | 22.4929i | 0.370741 | + | 0.938834i | ||||
\(575\) | −17.8952 | − | 18.4307i | −0.746283 | − | 0.768612i | ||||
\(576\) | 2.58267 | + | 4.47331i | 0.107611 | + | 0.186388i | ||||
\(577\) | 7.77526 | + | 40.3419i | 0.323689 | + | 1.67946i | 0.670805 | + | 0.741634i | \(0.265949\pi\) |
−0.347117 | + | 0.937822i | \(0.612839\pi\) | |||||||
\(578\) | 4.14618 | − | 2.13750i | 0.172458 | − | 0.0889084i | ||||
\(579\) | 12.0248 | + | 30.0365i | 0.499733 | + | 1.24827i | ||||
\(580\) | 2.36038 | − | 5.16851i | 0.0980094 | − | 0.214611i | ||||
\(581\) | 46.2111 | + | 0.217227i | 1.91716 | + | 0.00901208i | ||||
\(582\) | −11.4572 | + | 39.0195i | −0.474915 | + | 1.61741i | ||||
\(583\) | −0.372715 | − | 0.192148i | −0.0154363 | − | 0.00795795i | ||||
\(584\) | −1.42018 | + | 14.8728i | −0.0587675 | + | 0.615441i | ||||
\(585\) | 68.0287 | + | 16.5036i | 2.81264 | + | 0.682339i | ||||
\(586\) | −9.19163 | − | 1.77154i | −0.379703 | − | 0.0731817i | ||||
\(587\) | 9.69532 | + | 8.40104i | 0.400169 | + | 0.346748i | 0.831578 | − | 0.555408i | \(-0.187438\pi\) |
−0.431409 | + | 0.902156i | \(0.641983\pi\) | |||||||
\(588\) | 17.4160 | − | 9.83797i | 0.718222 | − | 0.405711i | ||||
\(589\) | −1.08241 | + | 0.494319i | −0.0445998 | + | 0.0203681i | ||||
\(590\) | 14.4447 | − | 28.0188i | 0.594678 | − | 1.15352i | ||||
\(591\) | −10.1518 | − | 10.6469i | −0.417590 | − | 0.437955i | ||||
\(592\) | −1.76147 | + | 4.39994i | −0.0723960 | + | 0.180837i | ||||
\(593\) | −1.82917 | − | 19.1559i | −0.0751149 | − | 0.786639i | −0.952032 | − | 0.305998i | \(-0.901010\pi\) |
0.876917 | − | 0.480641i | \(-0.159596\pi\) | |||||||
\(594\) | 2.50115 | − | 17.3959i | 0.102623 | − | 0.713761i | ||||
\(595\) | 26.0932 | − | 29.8286i | 1.06972 | − | 1.22286i | ||||
\(596\) | 4.94650 | − | 4.28617i | 0.202617 | − | 0.175568i | ||||
\(597\) | −11.0566 | + | 6.38352i | −0.452516 | + | 0.261260i | ||||
\(598\) | −10.2561 | − | 17.3981i | −0.419404 | − | 0.711463i | ||||
\(599\) | −14.5256 | + | 25.1591i | −0.593501 | + | 1.02797i | 0.400256 | + | 0.916404i | \(0.368921\pi\) |
−0.993757 | + | 0.111570i | \(0.964412\pi\) | |||||||
\(600\) | 14.4645 | + | 5.00622i | 0.590511 | + | 0.204378i | ||||
\(601\) | 2.87044 | − | 4.46649i | 0.117088 | − | 0.182192i | −0.777763 | − | 0.628558i | \(-0.783646\pi\) |
0.894851 | + | 0.446366i | \(0.147282\pi\) | |||||||
\(602\) | 12.6075 | − | 2.99588i | 0.513845 | − | 0.122103i | ||||
\(603\) | 30.6324 | + | 13.9893i | 1.24745 | + | 0.569690i | ||||
\(604\) | 3.83318 | − | 3.01445i | 0.155970 | − | 0.122656i | ||||
\(605\) | 6.82942 | − | 6.51184i | 0.277655 | − | 0.264744i | ||||
\(606\) | 0.575977 | + | 12.0912i | 0.0233975 | + | 0.491173i | ||||
\(607\) | 16.6763 | + | 11.8751i | 0.676869 | + | 0.481996i | 0.866058 | − | 0.499944i | \(-0.166646\pi\) |
−0.189188 | + | 0.981941i | \(0.560586\pi\) | |||||||
\(608\) | 0.168177 | − | 0.0493812i | 0.00682048 | − | 0.00200267i | ||||
\(609\) | 2.46455 | + | 13.1189i | 0.0998687 | + | 0.531603i | ||||
\(610\) | −3.95815 | + | 4.56795i | −0.160261 | + | 0.184951i | ||||
\(611\) | 33.7882 | + | 32.2170i | 1.36692 | + | 1.30336i | ||||
\(612\) | −23.9334 | − | 2.28536i | −0.967450 | − | 0.0923803i | ||||
\(613\) | −22.6010 | + | 1.07662i | −0.912848 | + | 0.0434843i | −0.498748 | − | 0.866747i | \(-0.666207\pi\) |
−0.414100 | + | 0.910231i | \(0.635904\pi\) | |||||||
\(614\) | −11.8854 | + | 2.88337i | −0.479656 | + | 0.116363i | ||||
\(615\) | −11.9621 | − | 83.1984i | −0.482359 | − | 3.35488i | ||||
\(616\) | 3.41211 | + | 6.69566i | 0.137478 | + | 0.269776i | ||||
\(617\) | −1.88890 | − | 0.271583i | −0.0760442 | − | 0.0109335i | 0.104188 | − | 0.994558i | \(-0.466776\pi\) |
−0.180232 | + | 0.983624i | \(0.557685\pi\) | |||||||
\(618\) | −47.7191 | − | 2.27314i | −1.91954 | − | 0.0914392i | ||||
\(619\) | 29.4109 | − | 5.66849i | 1.18213 | − | 0.227836i | 0.439938 | − | 0.898028i | \(-0.355001\pi\) |
0.742187 | + | 0.670192i | \(0.233788\pi\) | |||||||
\(620\) | −18.9208 | − | 10.9239i | −0.759876 | − | 0.438715i | ||||
\(621\) | −12.5711 | − | 26.8796i | −0.504461 | − | 1.07864i | ||||
\(622\) | − | 29.6614i | − | 1.18931i | ||||||
\(623\) | −2.50387 | − | 1.30577i | −0.100316 | − | 0.0523146i | ||||
\(624\) | 10.1232 | + | 6.50579i | 0.405253 | + | 0.260440i | ||||
\(625\) | −21.4362 | + | 8.58175i | −0.857447 | + | 0.343270i | ||||
\(626\) | 16.5396 | + | 23.2266i | 0.661055 | + | 0.928323i | ||||
\(627\) | −1.32071 | − | 0.528734i | −0.0527442 | − | 0.0211156i | ||||
\(628\) | 1.86201 | + | 7.67531i | 0.0743023 | + | 0.306278i | ||||
\(629\) | −11.9265 | − | 18.5580i | −0.475540 | − | 0.739955i | ||||
\(630\) | −42.2563 | + | 12.1921i | −1.68353 | + | 0.485745i | ||||
\(631\) | −13.6413 | − | 46.4579i | −0.543051 | − | 1.84946i | −0.527456 | − | 0.849582i | \(-0.676854\pi\) |
−0.0155943 | − | 0.999878i | \(-0.504964\pi\) | |||||||
\(632\) | 0.833971 | − | 4.32705i | 0.0331736 | − | 0.172121i | ||||
\(633\) | 49.3081 | − | 17.0657i | 1.95982 | − | 0.678301i | ||||
\(634\) | −0.883094 | + | 3.64016i | −0.0350721 | + | 0.144569i | ||||
\(635\) | −15.9197 | + | 22.3560i | −0.631752 | + | 0.887172i | ||||
\(636\) | 0.354889 | − | 0.228073i | 0.0140723 | − | 0.00904369i | ||||
\(637\) | 16.1696 | − | 24.6478i | 0.640663 | − | 0.976581i | ||||
\(638\) | −4.96393 | + | 0.713705i | −0.196524 | + | 0.0282559i | ||||
\(639\) | 54.2755 | − | 5.18268i | 2.14710 | − | 0.205024i | ||||
\(640\) | 2.52964 | + | 1.98933i | 0.0999929 | + | 0.0786353i | ||||
\(641\) | 9.38271 | + | 18.1999i | 0.370595 | + | 0.718854i | 0.998219 | − | 0.0596631i | \(-0.0190026\pi\) |
−0.627624 | + | 0.778517i | \(0.715972\pi\) | |||||||
\(642\) | −15.1368 | + | 43.7348i | −0.597400 | + | 1.72607i | ||||
\(643\) | 12.1202 | 0.477972 | 0.238986 | − | 0.971023i | \(-0.423185\pi\) | ||||
0.238986 | + | 0.971023i | \(0.423185\pi\) | |||||||
\(644\) | 11.0162 | + | 6.29632i | 0.434099 | + | 0.248110i | ||||
\(645\) | −45.0405 | −1.77347 | ||||||||
\(646\) | −0.266833 | + | 0.770963i | −0.0104984 | + | 0.0303331i | ||||
\(647\) | 9.43465 | + | 18.3007i | 0.370914 | + | 0.719473i | 0.998241 | − | 0.0592826i | \(-0.0188813\pi\) |
−0.627327 | + | 0.778756i | \(0.715851\pi\) | |||||||
\(648\) | 1.71728 | + | 1.35048i | 0.0674611 | + | 0.0530520i | ||||
\(649\) | −27.6966 | + | 2.64470i | −1.08719 | + | 0.103814i | ||||
\(650\) | 22.3278 | − | 3.21025i | 0.875768 | − | 0.125916i | ||||
\(651\) | 51.1159 | − | 4.63861i | 2.00339 | − | 0.181801i | ||||
\(652\) | −7.37236 | + | 4.73793i | −0.288724 | + | 0.185552i | ||||
\(653\) | 4.83371 | − | 6.78799i | 0.189158 | − | 0.265635i | −0.709096 | − | 0.705112i | \(-0.750897\pi\) |
0.898254 | + | 0.439477i | \(0.144836\pi\) | |||||||
\(654\) | −1.51799 | + | 6.25725i | −0.0593582 | + | 0.244678i | ||||
\(655\) | 47.6519 | − | 16.4925i | 1.86191 | − | 0.644415i | ||||
\(656\) | 1.72983 | − | 8.97519i | 0.0675384 | − | 0.350422i | ||||
\(657\) | 21.7420 | + | 74.0465i | 0.848236 | + | 2.88883i | ||||
\(658\) | −28.4717 | − | 7.04903i | −1.10994 | − | 0.274800i | ||||
\(659\) | −1.89558 | − | 2.94957i | −0.0738411 | − | 0.114899i | 0.802369 | − | 0.596828i | \(-0.203573\pi\) |
−0.876210 | + | 0.481929i | \(0.839936\pi\) | |||||||
\(660\) | −6.15800 | − | 25.3836i | −0.239700 | − | 0.988056i | ||||
\(661\) | −16.4789 | − | 6.59716i | −0.640955 | − | 0.256600i | 0.0283378 | − | 0.999598i | \(-0.490979\pi\) |
−0.669293 | + | 0.742999i | \(0.733403\pi\) | |||||||
\(662\) | −16.3785 | − | 23.0003i | −0.636567 | − | 0.893933i | ||||
\(663\) | −51.9981 | + | 20.8169i | −2.01944 | + | 0.808462i | ||||
\(664\) | −14.6936 | − | 9.44302i | −0.570223 | − | 0.366460i | ||||
\(665\) | 0.0640025 | + | 1.49101i | 0.00248191 | + | 0.0578190i | ||||
\(666\) | 24.4808i | 0.948611i | ||||||||
\(667\) | −6.34881 | + | 5.60280i | −0.245827 | + | 0.216941i | ||||
\(668\) | −13.5689 | − | 7.83402i | −0.524997 | − | 0.303107i | ||||
\(669\) | 38.2907 | − | 7.37993i | 1.48040 | − | 0.285325i | ||||
\(670\) | 20.9571 | + | 0.998312i | 0.809645 | + | 0.0385681i | ||||
\(671\) | 5.28043 | + | 0.759212i | 0.203849 | + | 0.0293090i | ||||
\(672\) | −7.54991 | − | 0.395225i | −0.291244 | − | 0.0152461i | ||||
\(673\) | −2.46377 | − | 17.1359i | −0.0949714 | − | 0.660541i | −0.980582 | − | 0.196111i | \(-0.937169\pi\) |
0.885610 | − | 0.464429i | \(-0.153740\pi\) | |||||||
\(674\) | −10.8969 | + | 2.64355i | −0.419731 | + | 0.101826i | ||||
\(675\) | 33.1058 | − | 1.57703i | 1.27424 | − | 0.0606997i | ||||
\(676\) | 4.71262 | + | 0.450001i | 0.181255 | + | 0.0173077i | ||||
\(677\) | −17.3324 | − | 16.5264i | −0.666138 | − | 0.635162i | 0.279590 | − | 0.960119i | \(-0.409801\pi\) |
−0.945729 | + | 0.324958i | \(0.894650\pi\) | |||||||
\(678\) | 31.2251 | − | 36.0357i | 1.19919 | − | 1.38394i | ||||
\(679\) | −24.5236 | − | 28.5720i | −0.941128 | − | 1.09649i | ||||
\(680\) | −14.3723 | + | 4.22008i | −0.551152 | + | 0.161833i | ||||
\(681\) | 44.9765 | + | 32.0276i | 1.72350 | + | 1.22730i | ||||
\(682\) | 0.917528 | + | 19.2613i | 0.0351340 | + | 0.737553i | ||||
\(683\) | −5.68961 | + | 5.42504i | −0.217707 | + | 0.207583i | −0.791082 | − | 0.611710i | \(-0.790482\pi\) |
0.573375 | + | 0.819293i | \(0.305634\pi\) | |||||||
\(684\) | 0.711664 | − | 0.559659i | 0.0272112 | − | 0.0213991i | ||||
\(685\) | 8.61313 | + | 3.93348i | 0.329091 | + | 0.150291i | ||||
\(686\) | −1.14201 | + | 18.4850i | −0.0436022 | + | 0.705761i | ||||
\(687\) | 34.4255 | − | 53.5671i | 1.31341 | − | 2.04371i | ||||
\(688\) | −4.62851 | − | 1.60194i | −0.176460 | − | 0.0610735i | ||||
\(689\) | 0.310851 | − | 0.538410i | 0.0118425 | − | 0.0205118i | ||||
\(690\) | −32.1926 | − | 30.1434i | −1.22555 | − | 1.14754i | ||||
\(691\) | 4.51459 | − | 2.60650i | 0.171743 | − | 0.0991559i | −0.411664 | − | 0.911335i | \(-0.635052\pi\) |
0.583407 | + | 0.812180i | \(0.301719\pi\) | |||||||
\(692\) | 4.35296 | − | 3.77186i | 0.165475 | − | 0.143385i | ||||
\(693\) | 29.2163 | + | 25.5575i | 1.10983 | + | 0.970849i | ||||
\(694\) | 1.69900 | − | 11.8168i | 0.0644930 | − | 0.448559i | ||||
\(695\) | 3.95241 | + | 41.3916i | 0.149924 | + | 1.57007i | ||||
\(696\) | 1.87511 | − | 4.68381i | 0.0710760 | − | 0.177539i | ||||
\(697\) | 29.3589 | + | 30.7907i | 1.11205 | + | 1.16628i | ||||
\(698\) | 2.83276 | − | 5.49478i | 0.107221 | − | 0.207981i | ||||
\(699\) | −26.8278 | + | 12.2518i | −1.01472 | + | 0.463407i | ||||
\(700\) | −11.1811 | + | 8.70814i | −0.422605 | + | 0.329137i | ||||
\(701\) | 29.9800 | + | 25.9778i | 1.13233 | + | 0.981168i | 0.999950 | − | 0.0100313i | \(-0.00319312\pi\) |
0.132378 | + | 0.991199i | \(0.457739\pi\) | |||||||
\(702\) | 25.5856 | + | 4.93123i | 0.965668 | + | 0.186117i | ||||
\(703\) | 0.807298 | + | 0.195848i | 0.0304478 | + | 0.00738656i | ||||
\(704\) | 0.269996 | − | 2.82752i | 0.0101758 | − | 0.106566i | ||||
\(705\) | 90.6145 | + | 46.7150i | 3.41274 | + | 1.75939i | ||||
\(706\) | −2.63235 | + | 8.96495i | −0.0990697 | + | 0.337400i | ||||
\(707\) | −9.67990 | − | 5.64953i | −0.364050 | − | 0.212472i | ||||
\(708\) | 11.6276 | − | 25.4609i | 0.436992 | − | 0.956878i | ||||
\(709\) | 8.22771 | + | 20.5518i | 0.308998 | + | 0.771840i | 0.998853 | + | 0.0478916i | \(0.0152502\pi\) |
−0.689855 | + | 0.723948i | \(0.742326\pi\) | |||||||
\(710\) | 30.1929 | − | 15.5655i | 1.13312 | − | 0.584163i | ||||
\(711\) | −4.30774 | − | 22.3507i | −0.161553 | − | 0.838216i | ||||
\(712\) | 0.533667 | + | 0.924338i | 0.0200000 | + | 0.0346410i | ||||
\(713\) | 19.1253 | + | 26.3492i | 0.716249 | + | 0.986784i | ||||
\(714\) | 21.8825 | − | 27.5582i | 0.818931 | − | 1.03134i | ||||
\(715\) | −25.2079 | − | 29.0915i | −0.942723 | − | 1.08796i | ||||
\(716\) | −0.346451 | + | 7.27289i | −0.0129475 | + | 0.271801i | ||||
\(717\) | −44.1984 | + | 56.2028i | −1.65062 | + | 2.09893i | ||||
\(718\) | −16.4398 | + | 11.7068i | −0.613529 | + | 0.436892i | ||||
\(719\) | −12.2162 | − | 15.5342i | −0.455589 | − | 0.579329i | 0.502941 | − | 0.864321i | \(-0.332251\pi\) |
−0.958530 | + | 0.284992i | \(0.908009\pi\) | |||||||
\(720\) | 15.9495 | + | 4.68320i | 0.594404 | + | 0.174533i | ||||
\(721\) | 25.8268 | − | 35.9102i | 0.961839 | − | 1.33736i | ||||
\(722\) | 7.88012 | + | 17.2551i | 0.293268 | + | 0.642167i | ||||
\(723\) | −15.0934 | + | 15.8295i | −0.561330 | + | 0.588706i | ||||
\(724\) | 0.164845 | + | 0.476287i | 0.00612640 | + | 0.0177011i | ||||
\(725\) | −3.09325 | − | 8.93735i | −0.114880 | − | 0.331925i | ||||
\(726\) | 5.78207 | − | 6.06406i | 0.214593 | − | 0.225058i | ||||
\(727\) | −20.3052 | − | 44.4621i | −0.753077 | − | 1.64901i | −0.760756 | − | 0.649038i | \(-0.775171\pi\) |
0.00767867 | − | 0.999971i | \(-0.497556\pi\) | |||||||
\(728\) | −10.1565 | + | 4.58075i | −0.376426 | + | 0.169774i | ||||
\(729\) | −40.0660 | − | 11.7644i | −1.48392 | − | 0.435720i | ||||
\(730\) | 29.7216 | + | 37.7940i | 1.10004 | + | 1.39882i | ||||
\(731\) | 18.5702 | − | 13.2238i | 0.686845 | − | 0.489100i | ||||
\(732\) | −3.31759 | + | 4.21866i | −0.122622 | + | 0.155926i | ||||
\(733\) | 0.262209 | − | 5.50444i | 0.00968490 | − | 0.203311i | −0.988839 | − | 0.148990i | \(-0.952398\pi\) |
0.998524 | − | 0.0543207i | \(-0.0172993\pi\) | |||||||
\(734\) | −5.79404 | − | 6.68667i | −0.213862 | − | 0.246810i | ||||
\(735\) | 18.7154 | − | 61.5906i | 0.690326 | − | 2.27180i | ||||
\(736\) | −2.23611 | − | 4.24262i | −0.0824241 | − | 0.156385i | ||||
\(737\) | −9.25899 | − | 16.0370i | −0.341059 | − | 0.590732i | ||||
\(738\) | −8.93513 | − | 46.3599i | −0.328907 | − | 1.70653i | ||||
\(739\) | 9.22833 | − | 4.75753i | 0.339469 | − | 0.175009i | −0.280059 | − | 0.959983i | \(-0.590354\pi\) |
0.619529 | + | 0.784974i | \(0.287324\pi\) | |||||||
\(740\) | 5.66869 | + | 14.1597i | 0.208385 | + | 0.520521i | ||||
\(741\) | 0.876189 | − | 1.91859i | 0.0321876 | − | 0.0704810i | ||||
\(742\) | −0.00183607 | + | 0.390591i | −6.74042e−5 | + | 0.0143391i | ||||
\(743\) | −5.00015 | + | 17.0289i | −0.183438 | + | 0.624731i | 0.815505 | + | 0.578751i | \(0.196460\pi\) |
−0.998942 | + | 0.0459809i | \(0.985359\pi\) | |||||||
\(744\) | −17.2429 | − | 8.88931i | −0.632154 | − | 0.325898i | ||||
\(745\) | 2.00220 | − | 20.9680i | 0.0733549 | − | 0.768207i | ||||
\(746\) | −20.7422 | − | 5.03202i | −0.759428 | − | 0.184235i | ||||
\(747\) | −88.5892 | − | 17.0742i | −3.24131 | − | 0.624711i | ||||
\(748\) | 9.99152 | + | 8.65770i | 0.365326 | + | 0.316557i | ||||
\(749\) | −26.3298 | − | 33.8070i | −0.962071 | − | 1.23528i | ||||
\(750\) | 2.98244 | − | 1.36204i | 0.108903 | − | 0.0497345i | ||||
\(751\) | 15.3329 | − | 29.7416i | 0.559504 | − | 1.08529i | −0.424213 | − | 0.905562i | \(-0.639449\pi\) |
0.983717 | − | 0.179724i | \(-0.0575205\pi\) | |||||||
\(752\) | 7.65034 | + | 8.02345i | 0.278979 | + | 0.292585i | ||||
\(753\) | 21.3712 | − | 53.3827i | 0.778809 | − | 1.94537i | ||||
\(754\) | −0.706766 | − | 7.40159i | −0.0257389 | − | 0.269550i | ||||
\(755\) | 2.23339 | − | 15.5336i | 0.0812815 | − | 0.565325i | ||||
\(756\) | −15.4951 | + | 5.28148i | −0.563552 | + | 0.192086i | ||||
\(757\) | 13.8965 | − | 12.0414i | 0.505077 | − | 0.437652i | −0.364679 | − | 0.931133i | \(-0.618821\pi\) |
0.869756 | + | 0.493481i | \(0.164276\pi\) | |||||||
\(758\) | 3.97435 | − | 2.29459i | 0.144355 | − | 0.0833434i | ||||
\(759\) | −7.01997 | + | 38.2867i | −0.254809 | + | 1.38972i | ||||
\(760\) | 0.282034 | − | 0.488498i | 0.0102305 | − | 0.0177197i | ||||
\(761\) | −37.8238 | − | 13.0910i | −1.37111 | − | 0.474547i | −0.460445 | − | 0.887688i | \(-0.652310\pi\) |
−0.910667 | + | 0.413141i | \(0.864432\pi\) | |||||||
\(762\) | −13.1750 | + | 20.5007i | −0.477281 | + | 0.742664i | ||||
\(763\) | −4.09365 | − | 4.33391i | −0.148200 | − | 0.156898i | ||||
\(764\) | −14.6024 | − | 6.66871i | −0.528298 | − | 0.241265i | ||||
\(765\) | −60.8183 | + | 47.8281i | −2.19889 | + | 1.72923i | ||||
\(766\) | 21.9277 | − | 20.9081i | 0.792281 | − | 0.755439i | ||||
\(767\) | −1.96276 | − | 41.2033i | −0.0708711 | − | 1.48777i | ||||
\(768\) | 2.32765 | + | 1.65752i | 0.0839920 | + | 0.0598104i | ||||
\(769\) | 29.6490 | − | 8.70572i | 1.06917 | − | 0.313936i | 0.300631 | − | 0.953740i | \(-0.402803\pi\) |
0.768538 | + | 0.639804i | \(0.220985\pi\) | |||||||
\(770\) | 22.8167 | + | 8.01725i | 0.822258 | + | 0.288922i | ||||
\(771\) | −52.2391 | + | 60.2871i | −1.88134 | + | 2.17119i | ||||
\(772\) | 8.19447 | + | 7.81341i | 0.294925 | + | 0.281211i | ||||
\(773\) | −8.58220 | − | 0.819501i | −0.308680 | − | 0.0294754i | −0.0604336 | − | 0.998172i | \(-0.519248\pi\) |
−0.248247 | + | 0.968697i | \(0.579854\pi\) | |||||||
\(774\) | −25.2706 | + | 1.20379i | −0.908333 | + | 0.0432692i | ||||
\(775\) | −35.3401 | + | 8.57341i | −1.26945 | + | 0.307966i | ||||
\(776\) | 2.02536 | + | 14.0867i | 0.0727063 | + | 0.505684i | ||||
\(777\) | −30.0518 | − | 19.5134i | −1.07810 | − | 0.700038i | ||||
\(778\) | 9.26849 | + | 1.33261i | 0.332291 | + | 0.0477763i | ||||
\(779\) | −1.60028 | − | 0.0762308i | −0.0573360 | − | 0.00273125i | ||||
\(780\) | 38.0258 | − | 7.32887i | 1.36154 | − | 0.262416i | ||||
\(781\) | −25.9647 | − | 14.9907i | −0.929090 | − | 0.536411i | ||||
\(782\) | 22.1231 | + | 2.97647i | 0.791119 | + | 0.106439i | ||||
\(783\) | − | 10.9246i | − | 0.390412i | ||||||
\(784\) | 4.11383 | − | 5.66361i | 0.146922 | − | 0.202272i | ||||
\(785\) | 21.3820 | + | 13.7414i | 0.763156 | + | 0.490451i | ||||
\(786\) | 41.5669 | − | 16.6409i | 1.48264 | − | 0.593561i | ||||
\(787\) | 0.806104 | + | 1.13201i | 0.0287345 | + | 0.0403520i | 0.828693 | − | 0.559703i | \(-0.189085\pi\) |
−0.799959 | + | 0.600055i | \(0.795145\pi\) | |||||||
\(788\) | −4.77945 | − | 1.91340i | −0.170261 | − | 0.0681621i | ||||
\(789\) | −2.80262 | − | 11.5525i | −0.0997757 | − | 0.411281i | ||||
\(790\) | −7.66705 | − | 11.9302i | −0.272781 | − | 0.424456i | ||||
\(791\) | 12.2388 | + | 42.4182i | 0.435163 | + | 1.50822i | ||||
\(792\) | −4.13345 | − | 14.0772i | −0.146876 | − | 0.500213i | ||||
\(793\) | −1.49685 | + | 7.76640i | −0.0531548 | + | 0.275793i | ||||
\(794\) | 7.59810 | − | 2.62973i | 0.269646 | − | 0.0933255i | ||||
\(795\) | 0.320067 | − | 1.31933i | 0.0113516 | − | 0.0467919i | ||||
\(796\) | −2.59163 | + | 3.63944i | −0.0918580 | + | 0.128997i | ||||
\(797\) | −23.5004 | + | 15.1028i | −0.832426 | + | 0.534968i | −0.886048 | − | 0.463594i | \(-0.846560\pi\) |
0.0536219 | + | 0.998561i | \(0.482923\pi\) | |||||||
\(798\) | 0.119760 | + | 1.31971i | 0.00423946 | + | 0.0467174i | ||||
\(799\) | −51.0758 | + | 7.34360i | −1.80693 | + | 0.259798i | ||||
\(800\) | 5.33229 | − | 0.509172i | 0.188525 | − | 0.0180019i | ||||
\(801\) | 4.33362 | + | 3.40800i | 0.153121 | + | 0.120416i | ||||
\(802\) | 3.46805 | + | 6.72708i | 0.122461 | + | 0.237541i | ||||
\(803\) | 13.8797 | − | 40.1026i | 0.489803 | − | 1.41519i | ||||
\(804\) | 18.6296 | 0.657016 | ||||||||
\(805\) | 39.6405 | − | 9.79988i | 1.39714 | − | 0.345400i | ||||
\(806\) | −28.5894 | −1.00702 | ||||||||
\(807\) | 10.9844 | − | 31.7372i | 0.386668 | − | 1.11720i | ||||
\(808\) | 1.94114 | + | 3.76528i | 0.0682890 | + | 0.132462i | ||||
\(809\) | 39.4496 | + | 31.0235i | 1.38697 | + | 1.09073i | 0.984517 | + | 0.175290i | \(0.0560863\pi\) |
0.402457 | + | 0.915439i | \(0.368156\pi\) | |||||||
\(810\) | 6.99883 | − | 0.668307i | 0.245914 | − | 0.0234819i | ||||
\(811\) | −32.9073 | + | 4.73136i | −1.15553 | + | 0.166140i | −0.693321 | − | 0.720629i | \(-0.743853\pi\) |
−0.462212 | + | 0.886770i | \(0.652944\pi\) | |||||||
\(812\) | 2.69172 | + | 3.81785i | 0.0944610 | + | 0.133980i | ||||
\(813\) | −21.0254 | + | 13.5122i | −0.737392 | + | 0.473893i | ||||
\(814\) | 7.80862 | − | 10.9657i | 0.273692 | − | 0.384347i | ||||
\(815\) | −6.64898 | + | 27.4075i | −0.232904 | + | 0.960042i | ||||
\(816\) | −12.5689 | + | 4.35012i | −0.439998 | + | 0.152285i | ||||
\(817\) | −0.162470 | + | 0.842973i | −0.00568410 | + | 0.0294919i | ||||
\(818\) | 6.33752 | + | 21.5836i | 0.221586 | + | 0.754653i | ||||
\(819\) | −39.9100 | + | 41.4644i | −1.39457 | + | 1.44888i | ||||
\(820\) | −15.9030 | − | 24.7456i | −0.555358 | − | 0.864154i | ||||
\(821\) | −4.68879 | − | 19.3274i | −0.163640 | − | 0.674532i | −0.993230 | − | 0.116160i | \(-0.962941\pi\) |
0.829591 | − | 0.558372i | \(-0.188574\pi\) | |||||||
\(822\) | 7.80539 | + | 3.12481i | 0.272244 | + | 0.108990i | ||||
\(823\) | 15.3460 | + | 21.5504i | 0.534927 | + | 0.751199i | 0.990276 | − | 0.139113i | \(-0.0444252\pi\) |
−0.455350 | + | 0.890313i | \(0.650486\pi\) | |||||||
\(824\) | −15.5209 | + | 6.21364i | −0.540697 | + | 0.216463i | ||||
\(825\) | −36.5742 | − | 23.5048i | −1.27335 | − | 0.818333i | ||||
\(826\) | 13.9087 | + | 21.8676i | 0.483944 | + | 0.760872i | ||||
\(827\) | − | 26.7411i | − | 0.929879i | −0.885342 | − | 0.464939i | \(-0.846076\pi\) | ||
0.885342 | − | 0.464939i | \(-0.153924\pi\) | |||||||
\(828\) | −18.8677 | − | 16.0520i | −0.655698 | − | 0.557844i | ||||
\(829\) | 36.2752 | + | 20.9435i | 1.25989 | + | 0.727398i | 0.973053 | − | 0.230581i | \(-0.0740626\pi\) |
0.286838 | + | 0.957979i | \(0.407396\pi\) | |||||||
\(830\) | −55.1937 | + | 10.6377i | −1.91580 | + | 0.369240i | ||||
\(831\) | −45.1803 | − | 2.15220i | −1.56729 | − | 0.0746591i | ||||
\(832\) | 4.16832 | + | 0.599314i | 0.144510 | + | 0.0207775i | ||||
\(833\) | 10.3665 | + | 30.8886i | 0.359179 | + | 1.07023i | ||||
\(834\) | 5.25427 | + | 36.5443i | 0.181941 | + | 1.26542i | ||||
\(835\) | −49.0009 | + | 11.8875i | −1.69575 | + | 0.411384i | ||||
\(836\) | −0.497290 | + | 0.0236888i | −0.0171991 | + | 0.000819295i | ||||
\(837\) | −41.8159 | − | 3.99294i | −1.44537 | − | 0.138016i | ||||
\(838\) | 1.80946 | + | 1.72531i | 0.0625066 | + | 0.0596000i | ||||
\(839\) | −4.82490 | + | 5.56823i | −0.166574 | + | 0.192237i | −0.832899 | − | 0.553425i | \(-0.813321\pi\) |
0.666325 | + | 0.745661i | \(0.267866\pi\) | |||||||
\(840\) | −18.4621 | + | 15.8462i | −0.637004 | + | 0.546746i | ||||
\(841\) | 24.8342 | − | 7.29199i | 0.856353 | − | 0.251448i | ||||
\(842\) | −6.21873 | − | 4.42833i | −0.214311 | − | 0.152610i | ||||
\(843\) | −3.57346 | − | 75.0161i | −0.123076 | − | 2.58369i | ||||
\(844\) | 13.2153 | − | 12.6008i | 0.454891 | − | 0.433738i | ||||
\(845\) | 11.9755 | − | 9.41762i | 0.411969 | − | 0.323976i | ||||
\(846\) | 52.0890 | + | 23.7883i | 1.79086 | + | 0.817857i | ||||
\(847\) | 1.79354 | + | 7.54777i | 0.0616269 | + | 0.259345i | ||||
\(848\) | 0.0798155 | − | 0.124195i | 0.00274087 | − | 0.00426488i | ||||
\(849\) | −37.2535 | − | 12.8935i | −1.27854 | − | 0.442505i | ||||
\(850\) | −12.4661 | + | 21.5919i | −0.427584 | + | 0.740598i | ||||
\(851\) | 0.875755 | − | 22.7127i | 0.0300205 | − | 0.778580i | ||||
\(852\) | 26.1212 | − | 15.0811i | 0.894899 | − | 0.516670i | ||||
\(853\) | −32.6456 | + | 28.2876i | −1.11776 | + | 0.968549i | −0.999701 | − | 0.0244575i | \(-0.992214\pi\) |
−0.118064 | + | 0.993006i | \(0.537669\pi\) | |||||||
\(854\) | −1.60317 | − | 4.70347i | −0.0548593 | − | 0.160949i | ||||
\(855\) | 0.414649 | − | 2.88395i | 0.0141807 | − | 0.0986289i | ||||
\(856\) | 1.53953 | + | 16.1227i | 0.0526200 | + | 0.551061i | ||||
\(857\) | 6.53192 | − | 16.3159i | 0.223126 | − | 0.557342i | −0.773993 | − | 0.633194i | \(-0.781743\pi\) |
0.997119 | + | 0.0758520i | \(0.0241677\pi\) | |||||||
\(858\) | −23.5867 | − | 24.7370i | −0.805236 | − | 0.844507i | ||||
\(859\) | 3.89140 | − | 7.54827i | 0.132773 | − | 0.257544i | −0.813071 | − | 0.582164i | \(-0.802206\pi\) |
0.945844 | + | 0.324620i | \(0.105236\pi\) | |||||||
\(860\) | −14.3378 | + | 6.54785i | −0.488915 | + | 0.223280i | ||||
\(861\) | 64.0320 | + | 25.9844i | 2.18220 | + | 0.885547i | ||||
\(862\) | 7.83808 | + | 6.79173i | 0.266966 | + | 0.231327i | ||||
\(863\) | −23.9268 | − | 4.61150i | −0.814476 | − | 0.156977i | −0.235030 | − | 0.971988i | \(-0.575519\pi\) |
−0.579446 | + | 0.815011i | \(0.696731\pi\) | |||||||
\(864\) | 6.01304 | + | 1.45875i | 0.204568 | + | 0.0496276i | ||||
\(865\) | 1.76195 | − | 18.4520i | 0.0599081 | − | 0.627386i | ||||
\(866\) | −9.38358 | − | 4.83757i | −0.318867 | − | 0.164387i | ||||
\(867\) | 3.75535 | − | 12.7895i | 0.127538 | − | 0.434356i | ||||
\(868\) | 15.5974 | − | 8.90768i | 0.529411 | − | 0.302346i | ||||
\(869\) | −5.19961 | + | 11.3856i | −0.176385 | + | 0.386229i | ||||
\(870\) | −6.03441 | − | 15.0732i | −0.204586 | − | 0.511031i | ||||
\(871\) | 24.4029 | − | 12.5806i | 0.826862 | − | 0.426277i | ||||
\(872\) | 0.426435 | + | 2.21256i | 0.0144409 | + | 0.0749266i | ||||
\(873\) | 36.7554 | + | 63.6623i | 1.24398 | + | 2.15464i | ||||
\(874\) | −0.680285 | + | 0.493779i | −0.0230110 | + | 0.0167023i | ||||
\(875\) | −0.446155 | + | 3.00280i | −0.0150828 | + | 0.101513i | ||||
\(876\) | 27.9576 | + | 32.2648i | 0.944600 | + | 1.09013i | ||||
\(877\) | −0.643241 | + | 13.5033i | −0.0217207 | + | 0.455974i | 0.961640 | + | 0.274313i | \(0.0884504\pi\) |
−0.983361 | + | 0.181661i | \(0.941853\pi\) | |||||||
\(878\) | 2.71582 | − | 3.45344i | 0.0916544 | − | 0.116548i | ||||
\(879\) | −21.7887 | + | 15.5157i | −0.734915 | + | 0.523330i | ||||
\(880\) | −5.65047 | − | 7.18515i | −0.190477 | − | 0.242212i | ||||
\(881\) | 30.2002 | + | 8.86757i | 1.01747 | + | 0.298756i | 0.747606 | − | 0.664142i | \(-0.231203\pi\) |
0.269864 | + | 0.962899i | \(0.413021\pi\) | |||||||
\(882\) | 8.85438 | − | 35.0564i | 0.298143 | − | 1.18041i | ||||
\(883\) | −10.5666 | − | 23.1377i | −0.355595 | − | 0.778645i | −0.999904 | − | 0.0138790i | \(-0.995582\pi\) |
0.644309 | − | 0.764766i | \(-0.277145\pi\) | |||||||
\(884\) | −13.5263 | + | 14.1860i | −0.454939 | + | 0.477127i | ||||
\(885\) | −29.4614 | − | 85.1231i | −0.990333 | − | 2.86138i | ||||
\(886\) | 2.25003 | + | 6.50104i | 0.0755913 | + | 0.218407i | ||||
\(887\) | 20.6771 | − | 21.6855i | 0.694269 | − | 0.728128i | −0.278364 | − | 0.960476i | \(-0.589792\pi\) |
0.972633 | + | 0.232348i | \(0.0746407\pi\) | |||||||
\(888\) | 5.62595 | + | 12.3191i | 0.188795 | + | 0.413403i | ||||
\(889\) | −9.27660 | − | 20.5682i | −0.311127 | − | 0.689836i | ||||
\(890\) | 3.29571 | + | 0.967709i | 0.110473 | + | 0.0324377i | ||||
\(891\) | −3.83589 | − | 4.87773i | −0.128507 | − | 0.163410i | ||||
\(892\) | 11.1162 | − | 7.91584i | 0.372199 | − | 0.265042i | ||||
\(893\) | 1.20118 | − | 1.52742i | 0.0401958 | − | 0.0511132i | ||||
\(894\) | 0.889916 | − | 18.6816i | 0.0297633 | − | 0.624808i | ||||
\(895\) | 15.3446 | + | 17.7086i | 0.512914 | + | 0.591934i | ||||
\(896\) | −2.46083 | + | 0.971770i | −0.0822104 | + | 0.0324645i | ||||
\(897\) | −56.2047 | − | 13.0970i | −1.87662 | − | 0.437298i | ||||
\(898\) | 5.03361 | + | 8.71847i | 0.167974 | + | 0.290939i | ||||
\(899\) | 2.26846 | + | 11.7699i | 0.0756574 | + | 0.392548i | ||||
\(900\) | 24.5926 | − | 12.6784i | 0.819753 | − | 0.422612i | ||||
\(901\) | 0.255390 | + | 0.637933i | 0.00850827 | + | 0.0212526i | ||||
\(902\) | −10.7851 | + | 23.6160i | −0.359103 | + | 0.786327i | ||||
\(903\) | 18.6652 | − | 31.9809i | 0.621138 | − | 1.06426i | ||||
\(904\) | 4.70116 | − | 16.0107i | 0.156358 | − | 0.532507i | ||||
\(905\) | 1.44167 | + | 0.743232i | 0.0479227 | + | 0.0247059i | ||||
\(906\) | 1.32457 | − | 13.8715i | 0.0440058 | − | 0.460850i | ||||
\(907\) | −1.94048 | − | 0.470757i | −0.0644327 | − | 0.0156312i | 0.203413 | − | 0.979093i | \(-0.434797\pi\) |
−0.267846 | + | 0.963462i | \(0.586312\pi\) | |||||||
\(908\) | 18.9735 | + | 3.65684i | 0.629656 | + | 0.121356i | ||||
\(909\) | 16.5368 | + | 14.3293i | 0.548493 | + | 0.475272i | ||||
\(910\) | −13.4826 | + | 33.2244i | −0.446944 | + | 1.10138i | ||||
\(911\) | 13.2396 | − | 6.04635i | 0.438649 | − | 0.200324i | −0.183834 | − | 0.982957i | \(-0.558851\pi\) |
0.622484 | + | 0.782633i | \(0.286124\pi\) | |||||||
\(912\) | 0.229505 | − | 0.445177i | 0.00759967 | − | 0.0147413i | ||||
\(913\) | 34.2356 | + | 35.9052i | 1.13303 | + | 1.18829i | ||||
\(914\) | −1.18907 | + | 2.97016i | −0.0393310 | + | 0.0982440i | ||||
\(915\) | 1.64176 | + | 17.1933i | 0.0542750 | + | 0.568393i | ||||
\(916\) | 3.17128 | − | 22.0567i | 0.104782 | − | 0.728775i | ||||
\(917\) | −8.03690 | + | 40.6697i | −0.265402 | + | 1.34303i | ||||
\(918\) | −21.7654 | + | 18.8598i | −0.718365 | + | 0.622467i | ||||
\(919\) | 27.6413 | − | 15.9587i | 0.911803 | − | 0.526429i | 0.0307919 | − | 0.999526i | \(-0.490197\pi\) |
0.881011 | + | 0.473096i | \(0.156864\pi\) | |||||||
\(920\) | −14.6300 | − | 4.91552i | −0.482338 | − | 0.162060i | ||||
\(921\) | −17.4739 | + | 30.2656i | −0.575784 | + | 0.997287i | ||||
\(922\) | 17.3399 | + | 6.00139i | 0.571059 | + | 0.197645i | ||||
\(923\) | 24.0319 | − | 37.3944i | 0.791021 | − | 1.23085i | ||||
\(924\) | 20.5755 | + | 6.14671i | 0.676884 | + | 0.202212i | ||||
\(925\) | 23.0928 | + | 10.5461i | 0.759288 | + | 0.346755i | ||||
\(926\) | −5.50339 | + | 4.32791i | −0.180853 | + | 0.142224i | ||||
\(927\) | −62.4993 | + | 59.5930i | −2.05275 | + | 1.95729i | ||||
\(928\) | −0.0840106 | − | 1.76360i | −0.00275778 | − | 0.0578930i | ||||
\(929\) | 8.95866 | + | 6.37944i | 0.293924 | + | 0.209302i | 0.717501 | − | 0.696558i | \(-0.245286\pi\) |
−0.423576 | + | 0.905860i | \(0.639225\pi\) | |||||||
\(930\) | −59.9014 | + | 17.5886i | −1.96424 | + | 0.576754i | ||||
\(931\) | −1.08521 | − | 0.572443i | −0.0355664 | − | 0.0187611i | ||||
\(932\) | −6.75898 | + | 7.80028i | −0.221398 | + | 0.255507i | ||||
\(933\) | −61.3419 | − | 58.4894i | −2.00824 | − | 1.91486i | ||||
\(934\) | 20.0590 | + | 1.91540i | 0.656349 | + | 0.0626738i | ||||
\(935\) | 42.4980 | − | 2.02443i | 1.38983 | − | 0.0662059i | ||||
\(936\) | 21.1390 | − | 5.12827i | 0.690950 | − | 0.167623i | ||||
\(937\) | 0.726111 | + | 5.05021i | 0.0237210 | + | 0.164983i | 0.998239 | − | 0.0593281i | \(-0.0188958\pi\) |
−0.974518 | + | 0.224311i | \(0.927987\pi\) | |||||||
\(938\) | −9.39366 | + | 14.4668i | −0.306714 | + | 0.472359i | ||||
\(939\) | 80.6489 | + | 11.5956i | 2.63188 | + | 0.378407i | ||||
\(940\) | 35.6367 | + | 1.69758i | 1.16234 | + | 0.0553691i | ||||
\(941\) | −30.2351 | + | 5.82733i | −0.985635 | + | 0.189965i | −0.656507 | − | 0.754320i | \(-0.727967\pi\) |
−0.329128 | + | 0.944285i | \(0.606755\pi\) | |||||||
\(942\) | 19.5448 | + | 11.2842i | 0.636805 | + | 0.367659i | ||||
\(943\) | 6.63136 | + | 43.3312i | 0.215947 | + | 1.41106i | ||||
\(944\) | − | 9.79536i | − | 0.318812i | ||||||
\(945\) | −24.3605 | + | 46.7123i | −0.792447 | + | 1.51955i | ||||
\(946\) | 11.7034 | + | 7.52133i | 0.380511 | + | 0.244540i | ||||
\(947\) | −34.9860 | + | 14.0063i | −1.13689 | + | 0.455143i | −0.862290 | − | 0.506416i | \(-0.830970\pi\) |
−0.274602 | + | 0.961558i | \(0.588546\pi\) | |||||||
\(948\) | −7.30415 | − | 10.2572i | −0.237228 | − | 0.333140i | ||||
\(949\) | 58.4101 | + | 23.3839i | 1.89607 | + | 0.759073i | ||||
\(950\) | −0.221349 | − | 0.912413i | −0.00718151 | − | 0.0296026i | ||||
\(951\) | 5.78675 | + | 9.00435i | 0.187648 | + | 0.291986i | ||||
\(952\) | 2.95954 | − | 11.9538i | 0.0959191 | − | 0.387426i | ||||
\(953\) | 3.17841 | + | 10.8247i | 0.102959 | + | 0.350645i | 0.994819 | − | 0.101667i | \(-0.0324176\pi\) |
−0.891860 | + | 0.452312i | \(0.850599\pi\) | |||||||
\(954\) | 0.144316 | − | 0.748784i | 0.00467241 | − | 0.0242428i | ||||
\(955\) | −48.8202 | + | 16.8968i | −1.57978 | + | 0.546768i | ||||
\(956\) | −5.89912 | + | 24.3165i | −0.190791 | + | 0.786452i | ||||
\(957\) | −8.31240 | + | 11.6731i | −0.268702 | + | 0.377339i | ||||
\(958\) | 0.0538993 | − | 0.0346390i | 0.00174141 | − | 0.00111913i | ||||
\(959\) | −6.36231 | + | 4.48566i | −0.205450 | + | 0.144849i | ||||
\(960\) | 9.10230 | − | 1.30871i | 0.293776 | − | 0.0422385i | ||||
\(961\) | 15.0211 | − | 1.43434i | 0.484552 | − | 0.0462691i | ||||
\(962\) | 15.6886 | + | 12.3376i | 0.505819 | + | 0.397781i | ||||
\(963\) | 38.3342 | + | 74.3580i | 1.23530 | + | 2.39615i | ||||
\(964\) | −2.50346 | + | 7.23326i | −0.0806309 | + | 0.232968i | ||||
\(965\) | 36.4376 | 1.17297 | ||||||||
\(966\) | 34.7441 | − | 10.3666i | 1.11787 | − | 0.333539i | ||||
\(967\) | −2.81977 | −0.0906777 | −0.0453388 | − | 0.998972i | \(-0.514437\pi\) | ||||
−0.0453388 | + | 0.998972i | \(0.514437\pi\) | |||||||
\(968\) | 0.959037 | − | 2.77096i | 0.0308246 | − | 0.0890619i | ||||
\(969\) | 1.06824 | + | 2.07209i | 0.0343168 | + | 0.0665653i | ||||
\(970\) | 36.0008 | + | 28.3114i | 1.15592 | + | 0.909023i | ||||
\(971\) | 50.0966 | − | 4.78365i | 1.60768 | − | 0.153514i | 0.747767 | − | 0.663961i | \(-0.231126\pi\) |
0.859909 | + | 0.510447i | \(0.170520\pi\) | |||||||
\(972\) | −12.1942 | + | 1.75327i | −0.391130 | + | 0.0562360i | ||||
\(973\) | −31.0279 | − | 14.3466i | −0.994708 | − | 0.459931i | ||||
\(974\) | 20.7578 | − | 13.3403i | 0.665124 | − | 0.427449i | ||||
\(975\) | 37.3892 | − | 52.5058i | 1.19741 | − | 1.68153i | ||||
\(976\) | −0.442796 | + | 1.82523i | −0.0141736 | + | 0.0584242i | ||||
\(977\) | 14.0679 | − | 4.86896i | 0.450073 | − | 0.155772i | −0.0926224 | − | 0.995701i | \(-0.529525\pi\) |
0.542696 | + | 0.839929i | \(0.317404\pi\) | |||||||
\(978\) | −4.73920 | + | 24.5893i | −0.151543 | + | 0.786280i | ||||
\(979\) | −0.854111 | − | 2.90883i | −0.0272975 | − | 0.0929667i | ||||
\(980\) | −2.99617 | − | 22.3270i | −0.0957092 | − | 0.713209i | ||||
\(981\) | 6.29248 | + | 9.79129i | 0.200903 | + | 0.312612i | ||||
\(982\) | 0.925523 | + | 3.81506i | 0.0295346 | + | 0.121743i | ||||
\(983\) | 19.6829 | + | 7.87985i | 0.627787 | + | 0.251328i | 0.663667 | − | 0.748028i | \(-0.268999\pi\) |
−0.0358799 | + | 0.999356i | \(0.511423\pi\) | |||||||
\(984\) | −15.1503 | − | 21.2756i | −0.482974 | − | 0.678242i | ||||
\(985\) | −15.3810 | + | 6.15763i | −0.490080 | + | 0.196198i | ||||
\(986\) | 6.91346 | + | 4.44301i | 0.220169 | + | 0.141494i | ||||
\(987\) | −70.7213 | + | 44.9815i | −2.25108 | + | 1.43178i | ||||
\(988\) | − | 0.738123i | − | 0.0234828i | ||||||
\(989\) | 23.4885 | − | 0.212835i | 0.746891 | − | 0.00676776i | ||||
\(990\) | −40.8897 | − | 23.6077i | −1.29956 | − | 0.750300i | ||||
\(991\) | −24.3795 | + | 4.69876i | −0.774439 | + | 0.149261i | −0.561134 | − | 0.827725i | \(-0.689635\pi\) |
−0.213305 | + | 0.976986i | \(0.568423\pi\) | |||||||
\(992\) | −6.78123 | − | 0.323030i | −0.215304 | − | 0.0102562i | ||||
\(993\) | −79.8631 | − | 11.4826i | −2.53438 | − | 0.364389i | ||||
\(994\) | −1.45994 | + | 27.8889i | −0.0463063 | + | 0.884581i | ||||
\(995\) | 2.04626 | + | 14.2320i | 0.0648708 | + | 0.451186i | ||||
\(996\) | −48.5033 | + | 11.7668i | −1.53689 | + | 0.372844i | ||||
\(997\) | −35.0780 | + | 1.67097i | −1.11093 | + | 0.0529202i | −0.595012 | − | 0.803717i | \(-0.702853\pi\) |
−0.515919 | + | 0.856637i | \(0.672550\pi\) | |||||||
\(998\) | 8.32081 | + | 0.794541i | 0.263391 | + | 0.0251508i | ||||
\(999\) | 21.2236 | + | 20.2366i | 0.671484 | + | 0.640258i |
(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 | 322.2.o.a.171.1 | yes | 160 | |
7.5 | odd | 6 | inner | 322.2.o.a.33.1 | ✓ | 160 | |
23.7 | odd | 22 | inner | 322.2.o.a.283.1 | yes | 160 | |
161.145 | even | 66 | inner | 322.2.o.a.145.1 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.o.a.33.1 | ✓ | 160 | 7.5 | odd | 6 | inner | |
322.2.o.a.145.1 | yes | 160 | 161.145 | even | 66 | inner | |
322.2.o.a.171.1 | yes | 160 | 1.1 | even | 1 | trivial | |
322.2.o.a.283.1 | yes | 160 | 23.7 | odd | 22 | inner |