Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(4,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([3, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.t (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 109.18 | ||
Character | \(\chi\) | \(=\) | 175.109 |
Dual form | 175.2.t.a.114.18 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.50984 | + | 0.263795i | 1.77473 | + | 0.186531i | 0.934561 | − | 0.355802i | \(-0.115792\pi\) |
0.840164 | + | 0.542333i | \(0.182459\pi\) | |||||||
\(3\) | 0.213476 | − | 1.00433i | 0.123250 | − | 0.579848i | −0.872568 | − | 0.488493i | \(-0.837547\pi\) |
0.995818 | − | 0.0913549i | \(-0.0291198\pi\) | |||||||
\(4\) | 4.27342 | + | 0.908343i | 2.13671 | + | 0.454171i | ||||
\(5\) | −2.23252 | + | 0.125895i | −0.998414 | + | 0.0563018i | ||||
\(6\) | 0.800727 | − | 2.46438i | 0.326895 | − | 1.00608i | ||||
\(7\) | −2.48641 | − | 0.904292i | −0.939776 | − | 0.341790i | ||||
\(8\) | 5.68568 | + | 1.84739i | 2.01019 | + | 0.653151i | ||||
\(9\) | 1.77754 | + | 0.791411i | 0.592513 | + | 0.263804i | ||||
\(10\) | −5.63648 | − | 0.272952i | −1.78241 | − | 0.0863150i | ||||
\(11\) | −4.17091 | + | 1.85701i | −1.25758 | + | 0.559909i | −0.923848 | − | 0.382760i | \(-0.874973\pi\) |
−0.333728 | + | 0.942669i | \(0.608307\pi\) | |||||||
\(12\) | 1.82454 | − | 4.09799i | 0.526700 | − | 1.18299i | ||||
\(13\) | 1.38808 | + | 1.91053i | 0.384985 | + | 0.529887i | 0.956897 | − | 0.290429i | \(-0.0937979\pi\) |
−0.571911 | + | 0.820315i | \(0.693798\pi\) | |||||||
\(14\) | −6.00196 | − | 2.92553i | −1.60409 | − | 0.781881i | ||||
\(15\) | −0.350150 | + | 2.26905i | −0.0904084 | + | 0.585867i | ||||
\(16\) | 5.80047 | + | 2.58253i | 1.45012 | + | 0.645634i | ||||
\(17\) | 2.79512 | − | 2.51674i | 0.677917 | − | 0.610399i | −0.256515 | − | 0.966540i | \(-0.582574\pi\) |
0.934432 | + | 0.356141i | \(0.115908\pi\) | |||||||
\(18\) | 4.25257 | + | 2.45522i | 1.00234 | + | 0.578701i | ||||
\(19\) | −4.00633 | + | 0.851572i | −0.919115 | + | 0.195364i | −0.643094 | − | 0.765787i | \(-0.722349\pi\) |
−0.276022 | + | 0.961151i | \(0.589016\pi\) | |||||||
\(20\) | −9.65485 | − | 1.48989i | −2.15889 | − | 0.333150i | ||||
\(21\) | −1.43899 | + | 2.30412i | −0.314014 | + | 0.502801i | ||||
\(22\) | −10.9582 | + | 3.56053i | −2.33629 | + | 0.759107i | ||||
\(23\) | 1.49771 | + | 0.157416i | 0.312295 | + | 0.0328235i | 0.259380 | − | 0.965775i | \(-0.416482\pi\) |
0.0529155 | + | 0.998599i | \(0.483149\pi\) | |||||||
\(24\) | 3.06914 | − | 5.31590i | 0.626485 | − | 1.08510i | ||||
\(25\) | 4.96830 | − | 0.562125i | 0.993660 | − | 0.112425i | ||||
\(26\) | 2.97988 | + | 5.16131i | 0.584403 | + | 1.01222i | ||||
\(27\) | 2.98484 | − | 4.10829i | 0.574434 | − | 0.790640i | ||||
\(28\) | −9.80408 | − | 6.12293i | −1.85280 | − | 1.15713i | ||||
\(29\) | −2.65671 | − | 8.17651i | −0.493339 | − | 1.51834i | −0.819530 | − | 0.573036i | \(-0.805765\pi\) |
0.326191 | − | 0.945304i | \(-0.394235\pi\) | |||||||
\(30\) | −1.47739 | + | 5.60259i | −0.269733 | + | 1.02289i | ||||
\(31\) | 4.00681 | + | 4.45002i | 0.719645 | + | 0.799246i | 0.986373 | − | 0.164525i | \(-0.0526092\pi\) |
−0.266728 | + | 0.963772i | \(0.585943\pi\) | |||||||
\(32\) | 3.52230 | + | 2.03360i | 0.622661 | + | 0.359494i | ||||
\(33\) | 0.974652 | + | 4.58538i | 0.169665 | + | 0.798211i | ||||
\(34\) | 7.67922 | − | 5.57928i | 1.31698 | − | 0.956838i | ||||
\(35\) | 5.66482 | + | 1.70582i | 0.957529 | + | 0.288337i | ||||
\(36\) | 6.87729 | + | 4.99664i | 1.14622 | + | 0.832774i | ||||
\(37\) | 2.49458 | − | 5.60293i | 0.410107 | − | 0.921115i | −0.583903 | − | 0.811824i | \(-0.698475\pi\) |
0.994010 | − | 0.109292i | \(-0.0348583\pi\) | |||||||
\(38\) | −10.2799 | + | 1.08046i | −1.66762 | + | 0.175274i | ||||
\(39\) | 2.21512 | − | 0.986235i | 0.354703 | − | 0.157924i | ||||
\(40\) | −12.9260 | − | 3.40854i | −2.04378 | − | 0.538937i | ||||
\(41\) | −3.92354 | + | 2.85062i | −0.612754 | + | 0.445192i | −0.850383 | − | 0.526164i | \(-0.823630\pi\) |
0.237629 | + | 0.971356i | \(0.423630\pi\) | |||||||
\(42\) | −4.21946 | + | 5.40339i | −0.651077 | + | 0.833761i | ||||
\(43\) | 7.33715i | 1.11891i | 0.828862 | + | 0.559453i | \(0.188989\pi\) | ||||
−0.828862 | + | 0.559453i | \(0.811011\pi\) | |||||||
\(44\) | −19.5108 | + | 4.14715i | −2.94137 | + | 0.625207i | ||||
\(45\) | −4.06803 | − | 1.54306i | −0.606426 | − | 0.230026i | ||||
\(46\) | 3.71750 | + | 0.790179i | 0.548115 | + | 0.116505i | ||||
\(47\) | −2.31783 | − | 2.08698i | −0.338090 | − | 0.304417i | 0.482544 | − | 0.875872i | \(-0.339713\pi\) |
−0.820634 | + | 0.571454i | \(0.806379\pi\) | |||||||
\(48\) | 3.83197 | − | 5.27425i | 0.553097 | − | 0.761272i | ||||
\(49\) | 5.36451 | + | 4.49689i | 0.766359 | + | 0.642413i | ||||
\(50\) | 12.6179 | − | 0.100232i | 1.78444 | − | 0.0141750i | ||||
\(51\) | −1.93094 | − | 3.34448i | −0.270385 | − | 0.468321i | ||||
\(52\) | 4.19644 | + | 9.42536i | 0.581942 | + | 1.30706i | ||||
\(53\) | 0.504751 | − | 2.37467i | 0.0693328 | − | 0.326185i | −0.929789 | − | 0.368094i | \(-0.880010\pi\) |
0.999121 | + | 0.0419086i | \(0.0133438\pi\) | |||||||
\(54\) | 8.57523 | − | 9.52376i | 1.16694 | − | 1.29602i | ||||
\(55\) | 9.07785 | − | 4.67090i | 1.22406 | − | 0.629825i | ||||
\(56\) | −12.4664 | − | 9.73489i | −1.66589 | − | 1.30088i | ||||
\(57\) | 4.20545i | 0.557026i | ||||||||
\(58\) | −4.51100 | − | 21.2226i | −0.592323 | − | 2.78666i | ||||
\(59\) | 0.482190 | + | 4.58773i | 0.0627758 | + | 0.597272i | 0.980013 | + | 0.198931i | \(0.0637471\pi\) |
−0.917238 | + | 0.398340i | \(0.869586\pi\) | |||||||
\(60\) | −3.55742 | + | 9.37855i | −0.459261 | + | 1.21077i | ||||
\(61\) | 1.10594 | − | 10.5223i | 0.141601 | − | 1.34724i | −0.660849 | − | 0.750519i | \(-0.729804\pi\) |
0.802449 | − | 0.596720i | \(-0.203530\pi\) | |||||||
\(62\) | 8.88257 | + | 12.2258i | 1.12809 | + | 1.55268i | ||||
\(63\) | −3.70403 | − | 3.57519i | −0.466664 | − | 0.450432i | ||||
\(64\) | −1.96958 | − | 1.43098i | −0.246197 | − | 0.178873i | ||||
\(65\) | −3.33945 | − | 4.09056i | −0.414208 | − | 0.507371i | ||||
\(66\) | 1.23662 | + | 11.7657i | 0.152218 | + | 1.44825i | ||||
\(67\) | 0.411430 | − | 0.370453i | 0.0502642 | − | 0.0452581i | −0.643616 | − | 0.765349i | \(-0.722566\pi\) |
0.693880 | + | 0.720091i | \(0.255900\pi\) | |||||||
\(68\) | 14.2308 | − | 8.21615i | 1.72574 | − | 0.996355i | ||||
\(69\) | 0.477823 | − | 1.47059i | 0.0575231 | − | 0.177038i | ||||
\(70\) | 13.7678 | + | 5.77570i | 1.64557 | + | 0.690328i | ||||
\(71\) | −0.906669 | − | 2.79044i | −0.107602 | − | 0.331164i | 0.882730 | − | 0.469880i | \(-0.155703\pi\) |
−0.990332 | + | 0.138715i | \(0.955703\pi\) | |||||||
\(72\) | 8.64447 | + | 7.78352i | 1.01876 | + | 0.917296i | ||||
\(73\) | 4.32200 | + | 9.70737i | 0.505852 | + | 1.13616i | 0.968362 | + | 0.249548i | \(0.0802820\pi\) |
−0.462511 | + | 0.886614i | \(0.653051\pi\) | |||||||
\(74\) | 7.73903 | − | 13.4044i | 0.899644 | − | 1.55823i | ||||
\(75\) | 0.496056 | − | 5.10979i | 0.0572796 | − | 0.590028i | ||||
\(76\) | −17.8942 | −2.05261 | ||||||||
\(77\) | 12.0499 | − | 0.845572i | 1.37321 | − | 0.0963618i | ||||
\(78\) | 5.81976 | − | 1.89096i | 0.658959 | − | 0.214109i | ||||
\(79\) | −9.94083 | + | 11.0404i | −1.11843 | + | 1.24214i | −0.151129 | + | 0.988514i | \(0.548291\pi\) |
−0.967302 | + | 0.253629i | \(0.918376\pi\) | |||||||
\(80\) | −13.2748 | − | 5.03531i | −1.48417 | − | 0.562965i | ||||
\(81\) | 0.417035 | + | 0.463165i | 0.0463373 | + | 0.0514627i | ||||
\(82\) | −10.5994 | + | 6.11959i | −1.17051 | + | 0.675796i | ||||
\(83\) | 3.54578 | + | 1.15210i | 0.389200 | + | 0.126459i | 0.497079 | − | 0.867705i | \(-0.334406\pi\) |
−0.107879 | + | 0.994164i | \(0.534406\pi\) | |||||||
\(84\) | −8.24235 | + | 8.53939i | −0.899314 | + | 0.931723i | ||||
\(85\) | −5.92333 | + | 5.97057i | −0.642475 | + | 0.647599i | ||||
\(86\) | −1.93550 | + | 18.4151i | −0.208711 | + | 1.98575i | ||||
\(87\) | −8.77902 | + | 0.922713i | −0.941210 | + | 0.0989252i | ||||
\(88\) | −27.1451 | + | 2.85306i | −2.89367 | + | 0.304137i | ||||
\(89\) | 0.368949 | − | 3.51031i | 0.0391085 | − | 0.372092i | −0.957411 | − | 0.288729i | \(-0.906767\pi\) |
0.996519 | − | 0.0833630i | \(-0.0265661\pi\) | |||||||
\(90\) | −9.80305 | − | 4.94596i | −1.03333 | − | 0.521350i | ||||
\(91\) | −1.72367 | − | 6.00561i | −0.180690 | − | 0.629559i | ||||
\(92\) | 6.25737 | + | 2.03314i | 0.652376 | + | 0.211970i | ||||
\(93\) | 5.32462 | − | 3.07417i | 0.552138 | − | 0.318777i | ||||
\(94\) | −5.26684 | − | 5.84942i | −0.543233 | − | 0.603322i | ||||
\(95\) | 8.83701 | − | 2.40553i | 0.906658 | − | 0.246802i | ||||
\(96\) | 2.79433 | − | 3.10341i | 0.285195 | − | 0.316741i | ||||
\(97\) | 12.8976 | − | 4.19067i | 1.30955 | − | 0.425498i | 0.430656 | − | 0.902516i | \(-0.358282\pi\) |
0.878894 | + | 0.477018i | \(0.158282\pi\) | |||||||
\(98\) | 12.2778 | + | 12.7016i | 1.24025 | + | 1.28306i | ||||
\(99\) | −8.88361 | −0.892836 | ||||||||
\(100\) | 21.7422 | + | 2.11072i | 2.17422 | + | 0.211072i | ||||
\(101\) | −8.96432 | + | 15.5267i | −0.891983 | + | 1.54496i | −0.0544883 | + | 0.998514i | \(0.517353\pi\) |
−0.837495 | + | 0.546445i | \(0.815981\pi\) | |||||||
\(102\) | −3.96408 | − | 8.90348i | −0.392503 | − | 0.881576i | ||||
\(103\) | −5.18982 | − | 4.67293i | −0.511368 | − | 0.460438i | 0.372595 | − | 0.927994i | \(-0.378468\pi\) |
−0.883963 | + | 0.467556i | \(0.845135\pi\) | |||||||
\(104\) | 4.36270 | + | 13.4270i | 0.427798 | + | 1.31663i | ||||
\(105\) | 2.92251 | − | 5.32517i | 0.285207 | − | 0.519683i | ||||
\(106\) | 1.89327 | − | 5.82688i | 0.183890 | − | 0.565957i | ||||
\(107\) | 5.78290 | − | 3.33876i | 0.559054 | − | 0.322770i | −0.193712 | − | 0.981058i | \(-0.562053\pi\) |
0.752766 | + | 0.658289i | \(0.228719\pi\) | |||||||
\(108\) | 16.4872 | − | 14.8452i | 1.58648 | − | 1.42848i | ||||
\(109\) | 1.22503 | + | 11.6554i | 0.117337 | + | 1.11638i | 0.881769 | + | 0.471681i | \(0.156353\pi\) |
−0.764433 | + | 0.644704i | \(0.776981\pi\) | |||||||
\(110\) | 24.0161 | − | 9.32853i | 2.28985 | − | 0.889441i | ||||
\(111\) | −5.09463 | − | 3.70146i | −0.483561 | − | 0.351327i | ||||
\(112\) | −12.0870 | − | 11.6666i | −1.14211 | − | 1.10239i | ||||
\(113\) | 5.88432 | + | 8.09908i | 0.553551 | + | 0.761897i | 0.990489 | − | 0.137595i | \(-0.0439371\pi\) |
−0.436938 | + | 0.899492i | \(0.643937\pi\) | |||||||
\(114\) | −1.10938 | + | 10.5550i | −0.103903 | + | 0.988567i | ||||
\(115\) | −3.36350 | − | 0.162880i | −0.313648 | − | 0.0151887i | ||||
\(116\) | −3.92615 | − | 37.3548i | −0.364534 | − | 3.46831i | ||||
\(117\) | 0.955355 | + | 4.49459i | 0.0883226 | + | 0.415525i | ||||
\(118\) | 11.6417i | 1.07170i | ||||||||
\(119\) | −9.22570 | + | 3.73005i | −0.845719 | + | 0.341933i | ||||
\(120\) | −6.18267 | + | 12.2543i | −0.564398 | + | 1.11865i | ||||
\(121\) | 6.58756 | − | 7.31622i | 0.598869 | − | 0.665111i | ||||
\(122\) | 5.55144 | − | 26.1175i | 0.502604 | − | 2.36457i | ||||
\(123\) | 2.02537 | + | 4.54905i | 0.182621 | + | 0.410174i | ||||
\(124\) | 13.0806 | + | 22.6563i | 1.17468 | + | 2.03460i | ||||
\(125\) | −11.0211 | + | 1.88044i | −0.985754 | + | 0.168192i | ||||
\(126\) | −8.35341 | − | 9.95026i | −0.744181 | − | 0.886440i | ||||
\(127\) | 5.70622 | − | 7.85394i | 0.506345 | − | 0.696924i | −0.476953 | − | 0.878929i | \(-0.658259\pi\) |
0.983298 | + | 0.182005i | \(0.0582586\pi\) | |||||||
\(128\) | −10.6109 | − | 9.55409i | −0.937879 | − | 0.844470i | ||||
\(129\) | 7.36889 | + | 1.56631i | 0.648795 | + | 0.137906i | ||||
\(130\) | −7.30243 | − | 11.1476i | −0.640465 | − | 0.977707i | ||||
\(131\) | −0.362195 | + | 0.0769869i | −0.0316451 | + | 0.00672638i | −0.223707 | − | 0.974656i | \(-0.571816\pi\) |
0.192062 | + | 0.981383i | \(0.438483\pi\) | |||||||
\(132\) | 20.4805i | 1.78260i | ||||||||
\(133\) | 10.7315 | + | 1.50553i | 0.930536 | + | 0.130546i | ||||
\(134\) | 1.13035 | − | 0.821246i | 0.0976472 | − | 0.0709448i | ||||
\(135\) | −6.14652 | + | 9.54761i | −0.529008 | + | 0.821727i | ||||
\(136\) | 20.5416 | − | 9.14570i | 1.76143 | − | 0.784237i | ||||
\(137\) | −6.27076 | + | 0.659084i | −0.535747 | + | 0.0563093i | −0.368539 | − | 0.929612i | \(-0.620142\pi\) |
−0.167208 | + | 0.985922i | \(0.553475\pi\) | |||||||
\(138\) | 1.58719 | − | 3.56489i | 0.135111 | − | 0.303464i | ||||
\(139\) | 0.992813 | + | 0.721321i | 0.0842093 | + | 0.0611816i | 0.629093 | − | 0.777330i | \(-0.283426\pi\) |
−0.544884 | + | 0.838511i | \(0.683426\pi\) | |||||||
\(140\) | 22.6587 | + | 12.4353i | 1.91501 | + | 1.05097i | ||||
\(141\) | −2.59081 | + | 1.88233i | −0.218185 | + | 0.158521i | ||||
\(142\) | −1.53949 | − | 7.24274i | −0.129191 | − | 0.607797i | ||||
\(143\) | −9.33745 | − | 5.39098i | −0.780837 | − | 0.450816i | ||||
\(144\) | 8.26671 | + | 9.18111i | 0.688892 | + | 0.765092i | ||||
\(145\) | 6.96054 | + | 17.9198i | 0.578041 | + | 1.48816i | ||||
\(146\) | 8.28677 | + | 25.5041i | 0.685818 | + | 2.11073i | ||||
\(147\) | 5.66154 | − | 4.42774i | 0.466956 | − | 0.365194i | ||||
\(148\) | 15.7498 | − | 21.6777i | 1.29462 | − | 1.78190i | ||||
\(149\) | −9.40351 | − | 16.2873i | −0.770365 | − | 1.33431i | −0.937363 | − | 0.348354i | \(-0.886741\pi\) |
0.166998 | − | 0.985957i | \(-0.446593\pi\) | |||||||
\(150\) | 2.59296 | − | 12.6939i | 0.211714 | − | 1.03645i | ||||
\(151\) | 2.32508 | − | 4.02716i | 0.189212 | − | 0.327726i | −0.755775 | − | 0.654831i | \(-0.772740\pi\) |
0.944988 | + | 0.327105i | \(0.106073\pi\) | |||||||
\(152\) | −24.3519 | − | 2.55949i | −1.97520 | − | 0.207602i | ||||
\(153\) | 6.96022 | − | 2.26151i | 0.562700 | − | 0.182832i | ||||
\(154\) | 30.4663 | + | 1.05645i | 2.45505 | + | 0.0851309i | ||||
\(155\) | −9.50553 | − | 9.43032i | −0.763502 | − | 0.757461i | ||||
\(156\) | 10.3620 | − | 2.20251i | 0.829622 | − | 0.176342i | ||||
\(157\) | 2.81991 | + | 1.62808i | 0.225053 | + | 0.129935i | 0.608288 | − | 0.793716i | \(-0.291857\pi\) |
−0.383235 | + | 0.923651i | \(0.625190\pi\) | |||||||
\(158\) | −27.8623 | + | 25.0873i | −2.21661 | + | 1.99584i | ||||
\(159\) | −2.27718 | − | 1.01387i | −0.180593 | − | 0.0804050i | ||||
\(160\) | −8.11964 | − | 4.09662i | −0.641914 | − | 0.323867i | ||||
\(161\) | −3.58159 | − | 1.74577i | −0.282269 | − | 0.137586i | ||||
\(162\) | 0.924512 | + | 1.27248i | 0.0726365 | + | 0.0999756i | ||||
\(163\) | −5.19344 | + | 11.6647i | −0.406782 | + | 0.913647i | 0.587733 | + | 0.809055i | \(0.300020\pi\) |
−0.994515 | + | 0.104592i | \(0.966646\pi\) | |||||||
\(164\) | −19.3563 | + | 8.61796i | −1.51147 | + | 0.672950i | ||||
\(165\) | −2.75320 | − | 10.1142i | −0.214337 | − | 0.787393i | ||||
\(166\) | 8.59544 | + | 3.82694i | 0.667135 | + | 0.297028i | ||||
\(167\) | −17.1176 | − | 5.56185i | −1.32460 | − | 0.430389i | −0.440528 | − | 0.897739i | \(-0.645209\pi\) |
−0.884072 | + | 0.467350i | \(0.845209\pi\) | |||||||
\(168\) | −12.4383 | + | 10.4421i | −0.959634 | + | 0.805628i | ||||
\(169\) | 2.29386 | − | 7.05977i | 0.176451 | − | 0.543059i | ||||
\(170\) | −16.4416 | + | 13.4226i | −1.26101 | + | 1.02947i | ||||
\(171\) | −7.79535 | − | 1.65695i | −0.596125 | − | 0.126710i | ||||
\(172\) | −6.66465 | + | 31.3547i | −0.508175 | + | 2.39077i | ||||
\(173\) | −9.36400 | − | 0.984196i | −0.711932 | − | 0.0748270i | −0.258362 | − | 0.966048i | \(-0.583183\pi\) |
−0.453569 | + | 0.891221i | \(0.649850\pi\) | |||||||
\(174\) | −22.2774 | −1.68884 | ||||||||
\(175\) | −12.8616 | − | 3.09512i | −0.972244 | − | 0.233969i | ||||
\(176\) | −28.9890 | −2.18513 | ||||||||
\(177\) | 4.71051 | + | 0.495095i | 0.354064 | + | 0.0372136i | ||||
\(178\) | 1.85200 | − | 8.71300i | 0.138814 | − | 0.653067i | ||||
\(179\) | −20.7228 | − | 4.40476i | −1.54889 | − | 0.329227i | −0.647444 | − | 0.762113i | \(-0.724162\pi\) |
−0.901449 | + | 0.432885i | \(0.857495\pi\) | |||||||
\(180\) | −15.9827 | − | 10.2893i | −1.19128 | − | 0.766919i | ||||
\(181\) | −0.422128 | + | 1.29918i | −0.0313765 | + | 0.0965670i | −0.965518 | − | 0.260335i | \(-0.916167\pi\) |
0.934142 | + | 0.356902i | \(0.116167\pi\) | |||||||
\(182\) | −2.74189 | − | 15.5278i | −0.203243 | − | 1.15100i | ||||
\(183\) | −10.3317 | − | 3.35697i | −0.763741 | − | 0.248155i | ||||
\(184\) | 8.22472 | + | 3.66188i | 0.606334 | + | 0.269957i | ||||
\(185\) | −4.86383 | + | 12.8227i | −0.357596 | + | 0.942744i | ||||
\(186\) | 14.1749 | − | 6.31107i | 1.03935 | − | 0.462750i | ||||
\(187\) | −6.98460 | + | 15.6877i | −0.510764 | + | 1.14720i | ||||
\(188\) | −8.00935 | − | 11.0239i | −0.584142 | − | 0.804002i | ||||
\(189\) | −11.1366 | + | 7.51573i | −0.810072 | + | 0.546689i | ||||
\(190\) | 22.8141 | − | 3.70633i | 1.65511 | − | 0.268886i | ||||
\(191\) | −3.30579 | − | 1.47183i | −0.239198 | − | 0.106498i | 0.283637 | − | 0.958932i | \(-0.408459\pi\) |
−0.522835 | + | 0.852434i | \(0.675126\pi\) | |||||||
\(192\) | −1.85763 | + | 1.67262i | −0.134063 | + | 0.120711i | ||||
\(193\) | −2.33548 | − | 1.34839i | −0.168111 | − | 0.0970590i | 0.413584 | − | 0.910466i | \(-0.364277\pi\) |
−0.581695 | + | 0.813407i | \(0.697610\pi\) | |||||||
\(194\) | 33.4763 | − | 7.11561i | 2.40346 | − | 0.510871i | ||||
\(195\) | −4.82114 | + | 2.48066i | −0.345249 | + | 0.177644i | ||||
\(196\) | 18.8401 | + | 24.0899i | 1.34572 | + | 1.72071i | ||||
\(197\) | −11.3108 | + | 3.67510i | −0.805861 | + | 0.261840i | −0.682844 | − | 0.730564i | \(-0.739257\pi\) |
−0.123017 | + | 0.992405i | \(0.539257\pi\) | |||||||
\(198\) | −22.2964 | − | 2.34345i | −1.58454 | − | 0.166542i | ||||
\(199\) | 5.94773 | − | 10.3018i | 0.421623 | − | 0.730273i | −0.574475 | − | 0.818522i | \(-0.694794\pi\) |
0.996098 | + | 0.0882489i | \(0.0281271\pi\) | |||||||
\(200\) | 29.2866 | + | 5.98232i | 2.07088 | + | 0.423014i | ||||
\(201\) | −0.284225 | − | 0.492293i | −0.0200477 | − | 0.0347237i | ||||
\(202\) | −26.5949 | + | 36.6047i | −1.87121 | + | 2.57550i | ||||
\(203\) | −0.788274 | + | 22.7326i | −0.0553260 | + | 1.59552i | ||||
\(204\) | −5.21376 | − | 16.0463i | −0.365036 | − | 1.12347i | ||||
\(205\) | 8.40051 | − | 6.85802i | 0.586717 | − | 0.478985i | ||||
\(206\) | −11.7929 | − | 13.0974i | −0.821652 | − | 0.912537i | ||||
\(207\) | 2.53766 | + | 1.46512i | 0.176380 | + | 0.101833i | ||||
\(208\) | 3.11752 | + | 14.6668i | 0.216161 | + | 1.01696i | ||||
\(209\) | 15.1287 | − | 10.9916i | 1.04647 | − | 0.760306i | ||||
\(210\) | 8.73978 | − | 12.5944i | 0.603102 | − | 0.869095i | ||||
\(211\) | 3.67986 | + | 2.67358i | 0.253332 | + | 0.184057i | 0.707202 | − | 0.707011i | \(-0.249957\pi\) |
−0.453870 | + | 0.891068i | \(0.649957\pi\) | |||||||
\(212\) | 4.31402 | − | 9.68945i | 0.296288 | − | 0.665474i | ||||
\(213\) | −2.99606 | + | 0.314899i | −0.205287 | + | 0.0215765i | ||||
\(214\) | 15.3949 | − | 6.85425i | 1.05237 | − | 0.468547i | ||||
\(215\) | −0.923709 | − | 16.3803i | −0.0629964 | − | 1.11713i | ||||
\(216\) | 24.5605 | − | 17.8442i | 1.67113 | − | 1.21415i | ||||
\(217\) | −5.93848 | − | 14.6879i | −0.403130 | − | 0.997080i | ||||
\(218\) | 29.5763i | 2.00316i | ||||||||
\(219\) | 10.6720 | − | 2.26840i | 0.721147 | − | 0.153285i | ||||
\(220\) | 43.0362 | − | 11.7149i | 2.90150 | − | 0.789820i | ||||
\(221\) | 8.68819 | + | 1.84673i | 0.584431 | + | 0.124225i | ||||
\(222\) | −11.8103 | − | 10.6340i | −0.792654 | − | 0.713709i | ||||
\(223\) | 13.7086 | − | 18.8683i | 0.917996 | − | 1.26351i | −0.0463660 | − | 0.998925i | \(-0.514764\pi\) |
0.964362 | − | 0.264588i | \(-0.0852360\pi\) | |||||||
\(224\) | −6.91894 | − | 8.24157i | −0.462291 | − | 0.550663i | ||||
\(225\) | 9.27622 | + | 2.93277i | 0.618415 | + | 0.195518i | ||||
\(226\) | 12.6322 | + | 21.8796i | 0.840283 | + | 1.45541i | ||||
\(227\) | −3.19882 | − | 7.18466i | −0.212313 | − | 0.476862i | 0.775726 | − | 0.631070i | \(-0.217384\pi\) |
−0.988038 | + | 0.154208i | \(0.950717\pi\) | |||||||
\(228\) | −3.81999 | + | 17.9716i | −0.252985 | + | 1.19020i | ||||
\(229\) | −7.51461 | + | 8.34582i | −0.496579 | + | 0.551507i | −0.938380 | − | 0.345606i | \(-0.887673\pi\) |
0.441800 | + | 0.897113i | \(0.354340\pi\) | |||||||
\(230\) | −8.39887 | − | 1.29608i | −0.553805 | − | 0.0854608i | ||||
\(231\) | 1.72313 | − | 12.2825i | 0.113374 | − | 0.808130i | ||||
\(232\) | − | 51.3970i | − | 3.37438i | ||||||
\(233\) | 0.701141 | + | 3.29861i | 0.0459333 | + | 0.216099i | 0.995128 | − | 0.0985898i | \(-0.0314332\pi\) |
−0.949195 | + | 0.314689i | \(0.898100\pi\) | |||||||
\(234\) | 1.21214 | + | 11.5327i | 0.0792400 | + | 0.753918i | ||||
\(235\) | 5.43734 | + | 4.36743i | 0.354693 | + | 0.284899i | ||||
\(236\) | −2.10663 | + | 20.0433i | −0.137130 | + | 1.30471i | ||||
\(237\) | 8.96604 | + | 12.3407i | 0.582407 | + | 0.801614i | ||||
\(238\) | −24.1390 | + | 6.92814i | −1.56470 | + | 0.449085i | ||||
\(239\) | 18.8867 | + | 13.7220i | 1.22168 | + | 0.887604i | 0.996239 | − | 0.0866529i | \(-0.0276171\pi\) |
0.225443 | + | 0.974256i | \(0.427617\pi\) | |||||||
\(240\) | −7.89094 | + | 12.2573i | −0.509358 | + | 0.791205i | ||||
\(241\) | 2.36725 | + | 22.5229i | 0.152488 | + | 1.45083i | 0.756575 | + | 0.653907i | \(0.226871\pi\) |
−0.604087 | + | 0.796918i | \(0.706462\pi\) | |||||||
\(242\) | 18.4637 | − | 16.6248i | 1.18689 | − | 1.06868i | ||||
\(243\) | 13.7475 | − | 7.93715i | 0.881905 | − | 0.509168i | ||||
\(244\) | 14.2840 | − | 43.9615i | 0.914437 | − | 2.81435i | ||||
\(245\) | −12.5425 | − | 9.36404i | −0.801312 | − | 0.598246i | ||||
\(246\) | 3.88333 | + | 11.9517i | 0.247592 | + | 0.762011i | ||||
\(247\) | −7.18808 | − | 6.47218i | −0.457367 | − | 0.411815i | ||||
\(248\) | 14.5605 | + | 32.7035i | 0.924595 | + | 2.07668i | ||||
\(249\) | 1.91402 | − | 3.31518i | 0.121296 | − | 0.210091i | ||||
\(250\) | −28.1572 | + | 1.81230i | −1.78082 | + | 0.114620i | ||||
\(251\) | 11.9167 | 0.752174 | 0.376087 | − | 0.926584i | \(-0.377269\pi\) | ||||
0.376087 | + | 0.926584i | \(0.377269\pi\) | |||||||
\(252\) | −12.5814 | − | 18.6428i | −0.792552 | − | 1.17439i | ||||
\(253\) | −6.53915 | + | 2.12470i | −0.411113 | + | 0.133579i | ||||
\(254\) | 16.3935 | − | 18.2069i | 1.02862 | − | 1.14240i | ||||
\(255\) | 4.73191 | + | 7.22352i | 0.296323 | + | 0.452355i | ||||
\(256\) | −20.8533 | − | 23.1599i | −1.30333 | − | 1.44749i | ||||
\(257\) | 1.71806 | − | 0.991922i | 0.107170 | − | 0.0618744i | −0.445457 | − | 0.895303i | \(-0.646959\pi\) |
0.552627 | + | 0.833429i | \(0.313626\pi\) | |||||||
\(258\) | 18.0816 | + | 5.87505i | 1.12571 | + | 0.365765i | ||||
\(259\) | −11.2692 | + | 11.6754i | −0.700237 | + | 0.725472i | ||||
\(260\) | −10.5553 | − | 20.5140i | −0.654609 | − | 1.27223i | ||||
\(261\) | 1.74858 | − | 16.6366i | 0.108234 | − | 1.02978i | ||||
\(262\) | −0.929360 | + | 0.0976797i | −0.0574161 | + | 0.00603467i | ||||
\(263\) | 7.95431 | − | 0.836032i | 0.490484 | − | 0.0515519i | 0.143941 | − | 0.989586i | \(-0.454022\pi\) |
0.346542 | + | 0.938034i | \(0.387356\pi\) | |||||||
\(264\) | −2.92942 | + | 27.8715i | −0.180293 | + | 1.71538i | ||||
\(265\) | −0.827909 | + | 5.36504i | −0.0508580 | + | 0.329572i | ||||
\(266\) | 26.5371 | + | 6.60955i | 1.62710 | + | 0.405258i | ||||
\(267\) | −3.44674 | − | 1.11991i | −0.210937 | − | 0.0685375i | ||||
\(268\) | 2.09471 | − | 1.20938i | 0.127955 | − | 0.0738748i | ||||
\(269\) | −5.91858 | − | 6.57325i | −0.360862 | − | 0.400778i | 0.535186 | − | 0.844734i | \(-0.320241\pi\) |
−0.896049 | + | 0.443956i | \(0.853575\pi\) | |||||||
\(270\) | −17.9454 | + | 22.3416i | −1.09212 | + | 1.35966i | ||||
\(271\) | −14.3155 | + | 15.8990i | −0.869607 | + | 0.965796i | −0.999669 | − | 0.0257098i | \(-0.991815\pi\) |
0.130063 | + | 0.991506i | \(0.458482\pi\) | |||||||
\(272\) | 22.7126 | − | 7.37977i | 1.37715 | − | 0.447464i | ||||
\(273\) | −6.39955 | + | 0.449073i | −0.387319 | + | 0.0271792i | ||||
\(274\) | −15.9125 | −0.961308 | ||||||||
\(275\) | −19.6785 | + | 11.5707i | −1.18666 | + | 0.697742i | ||||
\(276\) | 3.37773 | − | 5.85041i | 0.203316 | − | 0.352153i | ||||
\(277\) | 3.25338 | + | 7.30720i | 0.195476 | + | 0.439047i | 0.984516 | − | 0.175295i | \(-0.0560880\pi\) |
−0.789040 | + | 0.614342i | \(0.789421\pi\) | |||||||
\(278\) | 2.30152 | + | 2.07230i | 0.138036 | + | 0.124288i | ||||
\(279\) | 3.60047 | + | 11.0811i | 0.215555 | + | 0.663409i | ||||
\(280\) | 29.0570 | + | 20.1639i | 1.73649 | + | 1.20502i | ||||
\(281\) | 2.33252 | − | 7.17875i | 0.139146 | − | 0.428248i | −0.857066 | − | 0.515207i | \(-0.827715\pi\) |
0.996212 | + | 0.0869591i | \(0.0277149\pi\) | |||||||
\(282\) | −6.99907 | + | 4.04091i | −0.416788 | + | 0.240633i | ||||
\(283\) | 10.7103 | − | 9.64357i | 0.636659 | − | 0.573251i | −0.286304 | − | 0.958139i | \(-0.592427\pi\) |
0.922963 | + | 0.384888i | \(0.125760\pi\) | |||||||
\(284\) | −1.33990 | − | 12.7483i | −0.0795084 | − | 0.756472i | ||||
\(285\) | −0.529444 | − | 9.38876i | −0.0313616 | − | 0.556142i | ||||
\(286\) | −22.0134 | − | 15.9937i | −1.30168 | − | 0.945725i | ||||
\(287\) | 12.3333 | − | 3.53979i | 0.728014 | − | 0.208947i | ||||
\(288\) | 4.65162 | + | 6.40240i | 0.274099 | + | 0.377265i | ||||
\(289\) | −0.298251 | + | 2.83767i | −0.0175442 | + | 0.166922i | ||||
\(290\) | 12.7427 | + | 46.8119i | 0.748277 | + | 2.74889i | ||||
\(291\) | −1.45548 | − | 13.8480i | −0.0853217 | − | 0.811782i | ||||
\(292\) | 9.65208 | + | 45.4095i | 0.564845 | + | 2.65739i | ||||
\(293\) | 2.28474i | 0.133476i | 0.997771 | + | 0.0667381i | \(0.0212592\pi\) | ||||
−0.997771 | + | 0.0667381i | \(0.978741\pi\) | |||||||
\(294\) | 15.3776 | − | 9.61943i | 0.896838 | − | 0.561017i | ||||
\(295\) | −1.65407 | − | 10.1815i | −0.0963037 | − | 0.592790i | ||||
\(296\) | 24.5342 | − | 27.2480i | 1.42602 | − | 1.58376i | ||||
\(297\) | −4.82039 | + | 22.6782i | −0.279707 | + | 1.31592i | ||||
\(298\) | −19.3048 | − | 43.3592i | −1.11830 | − | 2.51173i | ||||
\(299\) | 1.77820 | + | 3.07994i | 0.102836 | + | 0.178118i | ||||
\(300\) | 6.76130 | − | 21.3857i | 0.390364 | − | 1.23470i | ||||
\(301\) | 6.63493 | − | 18.2432i | 0.382431 | − | 1.05152i | ||||
\(302\) | 6.89793 | − | 9.49418i | 0.396931 | − | 0.546329i | ||||
\(303\) | 13.6801 | + | 12.3177i | 0.785904 | + | 0.707631i | ||||
\(304\) | −25.4378 | − | 5.40697i | −1.45896 | − | 0.310111i | ||||
\(305\) | −1.14433 | + | 23.6304i | −0.0655239 | + | 1.35307i | ||||
\(306\) | 18.0656 | − | 3.83996i | 1.03274 | − | 0.219516i | ||||
\(307\) | − | 27.8777i | − | 1.59106i | −0.605912 | − | 0.795532i | \(-0.707191\pi\) | ||
0.605912 | − | 0.795532i | \(-0.292809\pi\) | |||||||
\(308\) | 52.2622 | + | 7.33194i | 2.97792 | + | 0.417776i | ||||
\(309\) | −5.80105 | + | 4.21471i | −0.330010 | + | 0.239766i | ||||
\(310\) | −21.3697 | − | 26.1761i | −1.21372 | − | 1.48670i | ||||
\(311\) | 14.1104 | − | 6.28236i | 0.800128 | − | 0.356240i | 0.0344031 | − | 0.999408i | \(-0.489047\pi\) |
0.765725 | + | 0.643168i | \(0.222380\pi\) | |||||||
\(312\) | 14.4164 | − | 1.51523i | 0.816170 | − | 0.0857829i | ||||
\(313\) | 1.78330 | − | 4.00536i | 0.100798 | − | 0.226396i | −0.856106 | − | 0.516800i | \(-0.827123\pi\) |
0.956904 | + | 0.290404i | \(0.0937896\pi\) | |||||||
\(314\) | 6.64804 | + | 4.83009i | 0.375171 | + | 0.272578i | ||||
\(315\) | 8.71942 | + | 7.51537i | 0.491284 | + | 0.423443i | ||||
\(316\) | −52.5098 | + | 38.1506i | −2.95391 | + | 2.14614i | ||||
\(317\) | −4.43554 | − | 20.8676i | −0.249124 | − | 1.17204i | −0.907732 | − | 0.419552i | \(-0.862187\pi\) |
0.658607 | − | 0.752487i | \(-0.271146\pi\) | |||||||
\(318\) | −5.44792 | − | 3.14536i | −0.305504 | − | 0.176383i | ||||
\(319\) | 26.2647 | + | 29.1699i | 1.47054 | + | 1.63320i | ||||
\(320\) | 4.57728 | + | 2.94674i | 0.255878 | + | 0.164728i | ||||
\(321\) | −2.11869 | − | 6.52065i | −0.118254 | − | 0.363947i | ||||
\(322\) | −8.52869 | − | 5.32642i | −0.475285 | − | 0.296830i | ||||
\(323\) | −9.05501 | + | 12.4631i | −0.503834 | + | 0.693468i | ||||
\(324\) | 1.36145 | + | 2.35811i | 0.0756363 | + | 0.131006i | ||||
\(325\) | 7.97038 | + | 8.71183i | 0.442117 | + | 0.483245i | ||||
\(326\) | −16.1118 | + | 27.9064i | −0.892350 | + | 1.54560i | ||||
\(327\) | 11.9673 | + | 1.25782i | 0.661795 | + | 0.0695574i | ||||
\(328\) | −27.5742 | + | 8.95940i | −1.52253 | + | 0.494700i | ||||
\(329\) | 3.87584 | + | 7.28509i | 0.213682 | + | 0.401640i | ||||
\(330\) | −4.24202 | − | 26.1114i | −0.233515 | − | 1.43739i | ||||
\(331\) | 20.9218 | − | 4.44707i | 1.14997 | − | 0.244433i | 0.406786 | − | 0.913524i | \(-0.366650\pi\) |
0.743181 | + | 0.669091i | \(0.233316\pi\) | |||||||
\(332\) | 14.1061 | + | 8.14417i | 0.774174 | + | 0.446969i | ||||
\(333\) | 8.86844 | − | 7.98518i | 0.485987 | − | 0.437585i | ||||
\(334\) | −41.4953 | − | 18.4749i | −2.27052 | − | 1.01090i | ||||
\(335\) | −0.871889 | + | 0.878842i | −0.0476364 | + | 0.0480163i | ||||
\(336\) | −14.2973 | + | 9.64875i | −0.779982 | + | 0.526382i | ||||
\(337\) | 18.9890 | + | 26.1361i | 1.03440 | + | 1.42373i | 0.901594 | + | 0.432584i | \(0.142398\pi\) |
0.132804 | + | 0.991142i | \(0.457602\pi\) | |||||||
\(338\) | 7.61955 | − | 17.1138i | 0.414449 | − | 0.930867i | ||||
\(339\) | 9.39027 | − | 4.18082i | 0.510010 | − | 0.227071i | ||||
\(340\) | −30.7362 | + | 20.1343i | −1.66690 | + | 1.09194i | ||||
\(341\) | −24.9758 | − | 11.1199i | −1.35251 | − | 0.602178i | ||||
\(342\) | −19.1280 | − | 6.21506i | −1.03432 | − | 0.336072i | ||||
\(343\) | −9.27190 | − | 16.0322i | −0.500635 | − | 0.865658i | ||||
\(344\) | −13.5546 | + | 41.7167i | −0.730814 | + | 2.24921i | ||||
\(345\) | −0.881611 | + | 3.34327i | −0.0474643 | + | 0.179996i | ||||
\(346\) | −23.2425 | − | 4.94035i | −1.24953 | − | 0.265595i | ||||
\(347\) | −1.33406 | + | 6.27627i | −0.0716163 | + | 0.336928i | −0.999339 | − | 0.0363409i | \(-0.988430\pi\) |
0.927723 | + | 0.373269i | \(0.121763\pi\) | |||||||
\(348\) | −38.3546 | − | 4.03123i | −2.05602 | − | 0.216096i | ||||
\(349\) | 11.4017 | 0.610318 | 0.305159 | − | 0.952301i | \(-0.401290\pi\) | ||||
0.305159 | + | 0.952301i | \(0.401290\pi\) | |||||||
\(350\) | −31.4640 | − | 11.1611i | −1.68182 | − | 0.596585i | ||||
\(351\) | 11.9922 | 0.640098 | ||||||||
\(352\) | −18.4676 | − | 1.94103i | −0.984328 | − | 0.103457i | ||||
\(353\) | 5.62928 | − | 26.4837i | 0.299617 | − | 1.40959i | −0.528454 | − | 0.848962i | \(-0.677228\pi\) |
0.828071 | − | 0.560623i | \(-0.189438\pi\) | |||||||
\(354\) | 11.6920 | + | 2.48522i | 0.621424 | + | 0.132088i | ||||
\(355\) | 2.37546 | + | 6.11557i | 0.126076 | + | 0.324581i | ||||
\(356\) | 4.76524 | − | 14.6659i | 0.252557 | − | 0.777291i | ||||
\(357\) | 1.77672 | + | 10.0619i | 0.0940340 | + | 0.532532i | ||||
\(358\) | −50.8489 | − | 16.5218i | −2.68745 | − | 0.873205i | ||||
\(359\) | 12.5201 | + | 5.57432i | 0.660788 | + | 0.294202i | 0.709598 | − | 0.704606i | \(-0.248876\pi\) |
−0.0488107 | + | 0.998808i | \(0.515543\pi\) | |||||||
\(360\) | −20.2789 | − | 16.2886i | −1.06879 | − | 0.858483i | ||||
\(361\) | −2.03185 | + | 0.904637i | −0.106939 | + | 0.0476125i | ||||
\(362\) | −1.40219 | + | 3.14937i | −0.0736974 | + | 0.165527i | ||||
\(363\) | −5.94158 | − | 8.17789i | −0.311852 | − | 0.429228i | ||||
\(364\) | −1.91081 | − | 27.2302i | −0.100154 | − | 1.42725i | ||||
\(365\) | −10.8711 | − | 21.1278i | −0.569017 | − | 1.10588i | ||||
\(366\) | −25.0454 | − | 11.1509i | −1.30914 | − | 0.582868i | ||||
\(367\) | 2.06892 | − | 1.86287i | 0.107997 | − | 0.0972408i | −0.613363 | − | 0.789801i | \(-0.710184\pi\) |
0.721360 | + | 0.692560i | \(0.243517\pi\) | |||||||
\(368\) | 8.28091 | + | 4.78099i | 0.431672 | + | 0.249226i | ||||
\(369\) | −9.23026 | + | 1.96195i | −0.480508 | + | 0.102135i | ||||
\(370\) | −15.5900 | + | 30.8999i | −0.810486 | + | 1.60641i | ||||
\(371\) | −3.40241 | + | 5.44796i | −0.176644 | + | 0.282844i | ||||
\(372\) | 25.5467 | − | 8.30064i | 1.32454 | − | 0.430368i | ||||
\(373\) | 29.9941 | + | 3.15250i | 1.55303 | + | 0.163230i | 0.841825 | − | 0.539750i | \(-0.181481\pi\) |
0.711209 | + | 0.702981i | \(0.248148\pi\) | |||||||
\(374\) | −21.6685 | + | 37.5310i | −1.12045 | + | 1.94068i | ||||
\(375\) | −0.464160 | + | 11.4702i | −0.0239691 | + | 0.592317i | ||||
\(376\) | −9.32296 | − | 16.1478i | −0.480795 | − | 0.832761i | ||||
\(377\) | 11.9338 | − | 16.4254i | 0.614620 | − | 0.845952i | ||||
\(378\) | −29.9338 | + | 15.9255i | −1.53963 | + | 0.819119i | ||||
\(379\) | −4.61188 | − | 14.1939i | −0.236896 | − | 0.729092i | −0.996864 | − | 0.0791315i | \(-0.974785\pi\) |
0.759968 | − | 0.649961i | \(-0.225215\pi\) | |||||||
\(380\) | 39.9493 | − | 2.25279i | 2.04935 | − | 0.115566i | ||||
\(381\) | −6.66977 | − | 7.40753i | −0.341703 | − | 0.379499i | ||||
\(382\) | −7.90874 | − | 4.56611i | −0.404646 | − | 0.233623i | ||||
\(383\) | 2.82635 | + | 13.2969i | 0.144420 | + | 0.679441i | 0.989468 | + | 0.144751i | \(0.0462382\pi\) |
−0.845048 | + | 0.534690i | \(0.820429\pi\) | |||||||
\(384\) | −11.8606 | + | 8.61722i | −0.605258 | + | 0.439746i | ||||
\(385\) | −26.7952 | + | 3.40477i | −1.36561 | + | 0.173523i | ||||
\(386\) | −5.50597 | − | 4.00032i | −0.280247 | − | 0.203611i | ||||
\(387\) | −5.80670 | + | 13.0421i | −0.295171 | + | 0.662966i | ||||
\(388\) | 58.9232 | − | 6.19308i | 2.99137 | − | 0.314406i | ||||
\(389\) | 11.8929 | − | 5.29508i | 0.602996 | − | 0.268471i | −0.0824492 | − | 0.996595i | \(-0.526274\pi\) |
0.685445 | + | 0.728124i | \(0.259608\pi\) | |||||||
\(390\) | −12.7547 | + | 4.95428i | −0.645859 | + | 0.250870i | ||||
\(391\) | 4.58247 | − | 3.32936i | 0.231746 | − | 0.168373i | ||||
\(392\) | 22.1934 | + | 35.4782i | 1.12094 | + | 1.79192i | ||||
\(393\) | 0.380196i | 0.0191784i | ||||||||
\(394\) | −29.3578 | + | 6.24019i | −1.47902 | + | 0.314376i | ||||
\(395\) | 20.8032 | − | 25.8994i | 1.04672 | − | 1.30314i | ||||
\(396\) | −37.9633 | − | 8.06936i | −1.90773 | − | 0.405501i | ||||
\(397\) | 7.12089 | + | 6.41168i | 0.357387 | + | 0.321793i | 0.828192 | − | 0.560445i | \(-0.189370\pi\) |
−0.470805 | + | 0.882237i | \(0.656036\pi\) | |||||||
\(398\) | 17.6454 | − | 24.2868i | 0.884485 | − | 1.21739i | ||||
\(399\) | 3.80296 | − | 10.4565i | 0.190386 | − | 0.523479i | ||||
\(400\) | 30.2702 | + | 9.57022i | 1.51351 | + | 0.478511i | ||||
\(401\) | 9.29076 | + | 16.0921i | 0.463958 | + | 0.803600i | 0.999154 | − | 0.0411287i | \(-0.0130954\pi\) |
−0.535195 | + | 0.844728i | \(0.679762\pi\) | |||||||
\(402\) | −0.583496 | − | 1.31055i | −0.0291021 | − | 0.0653645i | ||||
\(403\) | −2.94011 | + | 13.8321i | −0.146458 | + | 0.689028i | ||||
\(404\) | −52.4118 | + | 58.2092i | −2.60758 | + | 2.89602i | ||||
\(405\) | −0.989350 | − | 0.981522i | −0.0491612 | − | 0.0487722i | ||||
\(406\) | −7.97519 | + | 56.8474i | −0.395802 | + | 2.82129i | ||||
\(407\) | 28.0017i | 1.38800i | ||||||||
\(408\) | −4.80013 | − | 22.5828i | −0.237642 | − | 1.11802i | ||||
\(409\) | −2.37519 | − | 22.5984i | −0.117445 | − | 1.11742i | −0.881473 | − | 0.472235i | \(-0.843447\pi\) |
0.764027 | − | 0.645184i | \(-0.223219\pi\) | |||||||
\(410\) | 22.8930 | − | 14.9965i | 1.13061 | − | 0.740626i | ||||
\(411\) | −0.676722 | + | 6.43858i | −0.0333803 | + | 0.317592i | ||||
\(412\) | −17.9336 | − | 24.6835i | −0.883527 | − | 1.21607i | ||||
\(413\) | 2.94973 | − | 11.8430i | 0.145147 | − | 0.582758i | ||||
\(414\) | 5.98264 | + | 4.34664i | 0.294031 | + | 0.213626i | ||||
\(415\) | −8.06108 | − | 2.12568i | −0.395703 | − | 0.104346i | ||||
\(416\) | 1.00399 | + | 9.55230i | 0.0492245 | + | 0.468340i | ||||
\(417\) | 0.936382 | − | 0.843122i | 0.0458548 | − | 0.0412879i | ||||
\(418\) | 40.8701 | − | 23.5963i | 1.99902 | − | 1.15413i | ||||
\(419\) | −6.96477 | + | 21.4353i | −0.340251 | + | 1.04719i | 0.623826 | + | 0.781563i | \(0.285577\pi\) |
−0.964077 | + | 0.265622i | \(0.914423\pi\) | |||||||
\(420\) | 17.3262 | − | 20.1020i | 0.845430 | − | 0.980878i | ||||
\(421\) | 9.56818 | + | 29.4478i | 0.466324 | + | 1.43520i | 0.857309 | + | 0.514802i | \(0.172134\pi\) |
−0.390985 | + | 0.920397i | \(0.627866\pi\) | |||||||
\(422\) | 8.53059 | + | 7.68098i | 0.415263 | + | 0.373904i | ||||
\(423\) | −2.46837 | − | 5.54404i | −0.120016 | − | 0.269561i | ||||
\(424\) | 7.25678 | − | 12.5691i | 0.352421 | − | 0.610410i | ||||
\(425\) | 12.4723 | − | 14.0751i | 0.604995 | − | 0.682744i | ||||
\(426\) | −7.60271 | −0.368353 | ||||||||
\(427\) | −12.2650 | + | 25.1626i | −0.593546 | + | 1.21771i | ||||
\(428\) | 27.7455 | − | 9.01505i | 1.34113 | − | 0.435759i | ||||
\(429\) | −7.40762 | + | 8.22699i | −0.357643 | + | 0.397203i | ||||
\(430\) | 2.00269 | − | 41.3557i | 0.0965783 | − | 1.99435i | ||||
\(431\) | −0.726639 | − | 0.807015i | −0.0350010 | − | 0.0388725i | 0.725390 | − | 0.688338i | \(-0.241659\pi\) |
−0.760391 | + | 0.649465i | \(0.774993\pi\) | |||||||
\(432\) | 27.9233 | − | 16.1215i | 1.34346 | − | 0.775647i | ||||
\(433\) | −13.6138 | − | 4.42339i | −0.654237 | − | 0.212575i | −0.0369558 | − | 0.999317i | \(-0.511766\pi\) |
−0.617282 | + | 0.786742i | \(0.711766\pi\) | |||||||
\(434\) | −11.0300 | − | 38.4309i | −0.529459 | − | 1.84474i | ||||
\(435\) | 19.4832 | − | 3.16521i | 0.934147 | − | 0.151760i | ||||
\(436\) | −5.35202 | + | 50.9211i | −0.256315 | + | 2.43868i | ||||
\(437\) | −6.13439 | + | 0.644750i | −0.293448 | + | 0.0308426i | ||||
\(438\) | 27.3834 | − | 2.87811i | 1.30843 | − | 0.137522i | ||||
\(439\) | 2.21042 | − | 21.0307i | 0.105498 | − | 1.00374i | −0.805854 | − | 0.592114i | \(-0.798294\pi\) |
0.911352 | − | 0.411628i | \(-0.135040\pi\) | |||||||
\(440\) | 60.2428 | − | 9.78694i | 2.87196 | − | 0.466574i | ||||
\(441\) | 5.97674 | + | 12.2389i | 0.284607 | + | 0.582806i | ||||
\(442\) | 21.3188 | + | 6.92690i | 1.01403 | + | 0.329479i | ||||
\(443\) | −1.15788 | + | 0.668500i | −0.0550123 | + | 0.0317614i | −0.527254 | − | 0.849708i | \(-0.676778\pi\) |
0.472242 | + | 0.881469i | \(0.343445\pi\) | |||||||
\(444\) | −18.4093 | − | 20.4456i | −0.873665 | − | 0.970304i | ||||
\(445\) | −0.381756 | + | 7.88330i | −0.0180970 | + | 0.373704i | ||||
\(446\) | 39.3837 | − | 43.7401i | 1.86487 | − | 2.07115i | ||||
\(447\) | −18.3652 | + | 5.96722i | −0.868645 | + | 0.282240i | ||||
\(448\) | 3.60316 | + | 5.33909i | 0.170233 | + | 0.252248i | ||||
\(449\) | −8.10370 | −0.382437 | −0.191219 | − | 0.981547i | \(-0.561244\pi\) | ||||
−0.191219 | + | 0.981547i | \(0.561244\pi\) | |||||||
\(450\) | 22.5082 | + | 9.80780i | 1.06105 | + | 0.462344i | ||||
\(451\) | 11.0711 | − | 19.1757i | 0.521318 | − | 0.902949i | ||||
\(452\) | 17.7894 | + | 39.9557i | 0.836744 | + | 1.87936i | ||||
\(453\) | −3.54823 | − | 3.19484i | −0.166710 | − | 0.150107i | ||||
\(454\) | −6.13324 | − | 18.8762i | −0.287847 | − | 0.885903i | ||||
\(455\) | 4.60421 | + | 13.1907i | 0.215849 | + | 0.618388i | ||||
\(456\) | −7.76911 | + | 23.9109i | −0.363822 | + | 1.11973i | ||||
\(457\) | −20.9365 | + | 12.0877i | −0.979366 | + | 0.565437i | −0.902079 | − | 0.431571i | \(-0.857959\pi\) |
−0.0772877 | + | 0.997009i | \(0.524626\pi\) | |||||||
\(458\) | −21.0621 | + | 18.9644i | −0.984165 | + | 0.886146i | ||||
\(459\) | −1.99648 | − | 18.9952i | −0.0931877 | − | 0.886622i | ||||
\(460\) | −14.2257 | − | 3.75126i | −0.663275 | − | 0.174904i | ||||
\(461\) | 0.830337 | + | 0.603275i | 0.0386726 | + | 0.0280973i | 0.606954 | − | 0.794737i | \(-0.292391\pi\) |
−0.568281 | + | 0.822835i | \(0.692391\pi\) | |||||||
\(462\) | 7.56485 | − | 30.3726i | 0.351949 | − | 1.41306i | ||||
\(463\) | −12.1532 | − | 16.7274i | −0.564805 | − | 0.777388i | 0.427122 | − | 0.904194i | \(-0.359527\pi\) |
−0.991928 | + | 0.126806i | \(0.959527\pi\) | |||||||
\(464\) | 5.70596 | − | 54.2886i | 0.264893 | − | 2.52029i | ||||
\(465\) | −11.5003 | + | 7.53350i | −0.533314 | + | 0.349358i | ||||
\(466\) | 0.889596 | + | 8.46394i | 0.0412097 | + | 0.392084i | ||||
\(467\) | −4.90118 | − | 23.0583i | −0.226800 | − | 1.06701i | −0.933245 | − | 0.359241i | \(-0.883036\pi\) |
0.706445 | − | 0.707768i | \(-0.250298\pi\) | |||||||
\(468\) | 20.0751i | 0.927970i | ||||||||
\(469\) | −1.35798 | + | 0.549048i | −0.0627059 | + | 0.0253527i | ||||
\(470\) | 12.4947 | + | 12.3959i | 0.576340 | + | 0.571780i | ||||
\(471\) | 2.23710 | − | 2.48455i | 0.103080 | − | 0.114482i | ||||
\(472\) | −5.73375 | + | 26.9752i | −0.263917 | + | 1.24163i | ||||
\(473\) | −13.6251 | − | 30.6026i | −0.626485 | − | 1.40711i | ||||
\(474\) | 19.2479 | + | 33.3384i | 0.884086 | + | 1.53128i | ||||
\(475\) | −19.4260 | + | 6.48293i | −0.891325 | + | 0.297457i | ||||
\(476\) | −42.8134 | + | 7.55996i | −1.96235 | + | 0.346510i | ||||
\(477\) | 2.77655 | − | 3.82159i | 0.127130 | − | 0.174979i | ||||
\(478\) | 43.7829 | + | 39.4223i | 2.00258 | + | 1.80313i | ||||
\(479\) | 27.7110 | + | 5.89016i | 1.26615 | + | 0.269128i | 0.791566 | − | 0.611083i | \(-0.209266\pi\) |
0.474582 | + | 0.880211i | \(0.342599\pi\) | |||||||
\(480\) | −5.84769 | + | 7.28023i | −0.266909 | + | 0.332296i | ||||
\(481\) | 14.1673 | − | 3.01135i | 0.645972 | − | 0.137306i | ||||
\(482\) | 57.1533i | 2.60326i | ||||||||
\(483\) | −2.51791 | + | 3.22440i | −0.114569 | + | 0.146715i | ||||
\(484\) | 34.7970 | − | 25.2815i | 1.58168 | − | 1.14916i | ||||
\(485\) | −28.2665 | + | 10.9795i | −1.28352 | + | 0.498553i | ||||
\(486\) | 36.5979 | − | 16.2944i | 1.66011 | − | 0.739131i | ||||
\(487\) | −24.6937 | + | 2.59541i | −1.11898 | + | 0.117609i | −0.645908 | − | 0.763415i | \(-0.723521\pi\) |
−0.473071 | + | 0.881024i | \(0.656854\pi\) | |||||||
\(488\) | 25.7267 | − | 57.7832i | 1.16459 | − | 2.61572i | ||||
\(489\) | 10.6064 | + | 7.70604i | 0.479640 | + | 0.348479i | ||||
\(490\) | −29.0095 | − | 26.8109i | −1.31052 | − | 1.21119i | ||||
\(491\) | 21.7051 | − | 15.7697i | 0.979538 | − | 0.711676i | 0.0219325 | − | 0.999759i | \(-0.493018\pi\) |
0.957605 | + | 0.288084i | \(0.0930181\pi\) | |||||||
\(492\) | 4.52314 | + | 21.2797i | 0.203919 | + | 0.959364i | ||||
\(493\) | −28.0040 | − | 16.1681i | −1.26124 | − | 0.728175i | ||||
\(494\) | −16.3336 | − | 18.1403i | −0.734884 | − | 0.816171i | ||||
\(495\) | 19.8328 | − | 1.11840i | 0.891420 | − | 0.0502683i | ||||
\(496\) | 11.7491 | + | 36.1599i | 0.527549 | + | 1.62363i | ||||
\(497\) | −0.269018 | + | 7.75809i | −0.0120671 | + | 0.347998i | ||||
\(498\) | 5.67841 | − | 7.81566i | 0.254456 | − | 0.350228i | ||||
\(499\) | 11.8172 | + | 20.4680i | 0.529010 | + | 0.916273i | 0.999428 | + | 0.0338287i | \(0.0107701\pi\) |
−0.470417 | + | 0.882444i | \(0.655897\pi\) | |||||||
\(500\) | −48.8057 | − | 1.97501i | −2.18266 | − | 0.0883250i | ||||
\(501\) | −9.24010 | + | 16.0043i | −0.412817 | + | 0.715021i | ||||
\(502\) | 29.9090 | + | 3.14356i | 1.33490 | + | 0.140304i | ||||
\(503\) | −33.8747 | + | 11.0066i | −1.51040 | + | 0.490759i | −0.943031 | − | 0.332705i | \(-0.892039\pi\) |
−0.567369 | + | 0.823463i | \(0.692039\pi\) | |||||||
\(504\) | −14.4552 | − | 27.1702i | −0.643884 | − | 1.21026i | ||||
\(505\) | 18.0583 | − | 35.7921i | 0.803584 | − | 1.59273i | ||||
\(506\) | −16.9727 | + | 3.60766i | −0.754529 | + | 0.160380i | ||||
\(507\) | −6.60062 | − | 3.81087i | −0.293144 | − | 0.169247i | ||||
\(508\) | 31.5191 | − | 28.3799i | 1.39843 | − | 1.25916i | ||||
\(509\) | 26.0444 | + | 11.5957i | 1.15440 | + | 0.513972i | 0.892466 | − | 0.451114i | \(-0.148973\pi\) |
0.261934 | + | 0.965086i | \(0.415640\pi\) | |||||||
\(510\) | 9.97080 | + | 19.3781i | 0.441514 | + | 0.858079i | ||||
\(511\) | −1.96798 | − | 28.0449i | −0.0870585 | − | 1.24063i | ||||
\(512\) | −29.4437 | − | 40.5258i | −1.30124 | − | 1.79100i | ||||
\(513\) | −8.45977 | + | 19.0010i | −0.373508 | + | 0.838913i | ||||
\(514\) | 4.57372 | − | 2.03635i | 0.201738 | − | 0.0898196i | ||||
\(515\) | 12.1747 | + | 9.77905i | 0.536480 | + | 0.430917i | ||||
\(516\) | 30.0676 | + | 13.3870i | 1.32365 | + | 0.589328i | ||||
\(517\) | 13.5430 | + | 4.40038i | 0.595620 | + | 0.193529i | ||||
\(518\) | −31.3639 | + | 26.3305i | −1.37805 | + | 1.15690i | ||||
\(519\) | −2.98744 | + | 9.19440i | −0.131134 | + | 0.403589i | ||||
\(520\) | −11.4302 | − | 29.4269i | −0.501248 | − | 1.29045i | ||||
\(521\) | −19.9954 | − | 4.25016i | −0.876015 | − | 0.186203i | −0.252106 | − | 0.967700i | \(-0.581123\pi\) |
−0.623909 | + | 0.781497i | \(0.714456\pi\) | |||||||
\(522\) | 8.77731 | − | 41.2940i | 0.384172 | − | 1.80739i | ||||
\(523\) | −43.0097 | − | 4.52050i | −1.88068 | − | 0.197668i | −0.906312 | − | 0.422610i | \(-0.861114\pi\) |
−0.974372 | + | 0.224942i | \(0.927781\pi\) | |||||||
\(524\) | −1.61774 | −0.0706713 | ||||||||
\(525\) | −5.85415 | + | 12.2565i | −0.255496 | + | 0.534917i | ||||
\(526\) | 20.1846 | 0.880090 | ||||||||
\(527\) | 22.3991 | + | 2.35424i | 0.975719 | + | 0.102552i | ||||
\(528\) | −6.18845 | + | 29.1144i | −0.269318 | + | 1.26704i | ||||
\(529\) | −20.2790 | − | 4.31044i | −0.881697 | − | 0.187410i | ||||
\(530\) | −3.49319 | + | 13.2470i | −0.151734 | + | 0.575412i | ||||
\(531\) | −2.77367 | + | 8.53648i | −0.120367 | + | 0.370452i | ||||
\(532\) | 44.4925 | + | 16.1816i | 1.92899 | + | 0.701562i | ||||
\(533\) | −10.8924 | − | 3.53916i | −0.471803 | − | 0.153298i | ||||
\(534\) | −8.35533 | − | 3.72003i | −0.361570 | − | 0.160982i | ||||
\(535\) | −12.4901 | + | 8.18188i | −0.539994 | + | 0.353734i | ||||
\(536\) | 3.02363 | − | 1.34621i | 0.130601 | − | 0.0581473i | ||||
\(537\) | −8.84763 | + | 19.8721i | −0.381803 | + | 0.857545i | ||||
\(538\) | −13.1207 | − | 18.0591i | −0.565674 | − | 0.778583i | ||||
\(539\) | −30.7256 | − | 8.79417i | −1.32345 | − | 0.378792i | ||||
\(540\) | −34.9391 | + | 35.2178i | −1.50354 | + | 1.51553i | ||||
\(541\) | −41.4216 | − | 18.4421i | −1.78085 | − | 0.792886i | −0.981352 | − | 0.192220i | \(-0.938431\pi\) |
−0.799500 | − | 0.600666i | \(-0.794902\pi\) | |||||||
\(542\) | −40.1238 | + | 36.1276i | −1.72346 | + | 1.55181i | ||||
\(543\) | 1.21468 | + | 0.701296i | 0.0521270 | + | 0.0300955i | ||||
\(544\) | 14.9633 | − | 3.18055i | 0.641547 | − | 0.136365i | ||||
\(545\) | −4.20226 | − | 25.8667i | −0.180005 | − | 1.10801i | ||||
\(546\) | −16.1803 | − | 0.561067i | −0.692454 | − | 0.0240114i | ||||
\(547\) | −11.7297 | + | 3.81120i | −0.501525 | + | 0.162955i | −0.548844 | − | 0.835925i | \(-0.684932\pi\) |
0.0473197 | + | 0.998880i | \(0.484932\pi\) | |||||||
\(548\) | −27.3962 | − | 2.87946i | −1.17031 | − | 0.123005i | ||||
\(549\) | 10.2933 | − | 17.8285i | 0.439307 | − | 0.760902i | ||||
\(550\) | −52.4421 | + | 23.8497i | −2.23614 | + | 1.01695i | ||||
\(551\) | 17.6065 | + | 30.4954i | 0.750064 | + | 1.29915i | ||||
\(552\) | 5.43350 | − | 7.47857i | 0.231265 | − | 0.318309i | ||||
\(553\) | 34.7008 | − | 18.4616i | 1.47563 | − | 0.785068i | ||||
\(554\) | 6.23785 | + | 19.1981i | 0.265021 | + | 0.815651i | ||||
\(555\) | 11.8399 | + | 7.62221i | 0.502574 | + | 0.323545i | ||||
\(556\) | 3.58750 | + | 3.98432i | 0.152144 | + | 0.168973i | ||||
\(557\) | 26.0118 | + | 15.0179i | 1.10215 | + | 0.636329i | 0.936786 | − | 0.349903i | \(-0.113785\pi\) |
0.165368 | + | 0.986232i | \(0.447119\pi\) | |||||||
\(558\) | 6.11347 | + | 28.7616i | 0.258804 | + | 1.21758i | ||||
\(559\) | −14.0179 | + | 10.1846i | −0.592893 | + | 0.430762i | ||||
\(560\) | 28.4532 | + | 24.5242i | 1.20237 | + | 1.03634i | ||||
\(561\) | 14.2645 | + | 10.3637i | 0.602247 | + | 0.437558i | ||||
\(562\) | 7.74796 | − | 17.4022i | 0.326828 | − | 0.734068i | ||||
\(563\) | 28.3105 | − | 2.97556i | 1.19315 | − | 0.125405i | 0.512940 | − | 0.858425i | \(-0.328556\pi\) |
0.680207 | + | 0.733020i | \(0.261890\pi\) | |||||||
\(564\) | −12.7814 | + | 5.69065i | −0.538194 | + | 0.239620i | ||||
\(565\) | −14.1565 | − | 17.3406i | −0.595569 | − | 0.729523i | ||||
\(566\) | 29.4250 | − | 21.3785i | 1.23682 | − | 0.898606i | ||||
\(567\) | −0.618087 | − | 1.52874i | −0.0259572 | − | 0.0642011i | ||||
\(568\) | − | 17.5405i | − | 0.735984i | ||||||
\(569\) | 19.3211 | − | 4.10683i | 0.809984 | − | 0.172167i | 0.215738 | − | 0.976451i | \(-0.430784\pi\) |
0.594245 | + | 0.804284i | \(0.297451\pi\) | |||||||
\(570\) | 1.14789 | − | 23.7040i | 0.0480797 | − | 0.992849i | ||||
\(571\) | −4.38961 | − | 0.933041i | −0.183700 | − | 0.0390465i | 0.115143 | − | 0.993349i | \(-0.463267\pi\) |
−0.298843 | + | 0.954302i | \(0.596601\pi\) | |||||||
\(572\) | −35.0060 | − | 31.5195i | −1.46367 | − | 1.31790i | ||||
\(573\) | −2.18390 | + | 3.00589i | −0.0912339 | + | 0.125573i | ||||
\(574\) | 31.8885 | − | 5.63084i | 1.33100 | − | 0.235027i | ||||
\(575\) | 7.52958 | − | 0.0598123i | 0.314005 | − | 0.00249435i | ||||
\(576\) | −2.36851 | − | 4.10237i | −0.0986878 | − | 0.170932i | ||||
\(577\) | −4.70221 | − | 10.5613i | −0.195755 | − | 0.439674i | 0.788822 | − | 0.614621i | \(-0.210691\pi\) |
−0.984578 | + | 0.174947i | \(0.944024\pi\) | |||||||
\(578\) | −1.49713 | + | 7.04342i | −0.0622722 | + | 0.292968i | ||||
\(579\) | −1.85279 | + | 2.05773i | −0.0769992 | + | 0.0855163i | ||||
\(580\) | 13.4680 | + | 82.9012i | 0.559228 | + | 3.44228i | ||||
\(581\) | −7.77446 | − | 6.07101i | −0.322539 | − | 0.251868i | ||||
\(582\) | − | 35.1401i | − | 1.45661i | ||||||
\(583\) | 2.30450 | + | 10.8418i | 0.0954428 | + | 0.449023i | ||||
\(584\) | 6.64021 | + | 63.1774i | 0.274774 | + | 2.61430i | ||||
\(585\) | −2.69870 | − | 9.91400i | −0.111577 | − | 0.409893i | ||||
\(586\) | −0.602704 | + | 5.73434i | −0.0248975 | + | 0.236883i | ||||
\(587\) | −14.6069 | − | 20.1047i | −0.602891 | − | 0.829808i | 0.393078 | − | 0.919505i | \(-0.371410\pi\) |
−0.995969 | + | 0.0896971i | \(0.971410\pi\) | |||||||
\(588\) | 28.2160 | − | 13.7790i | 1.16361 | − | 0.568235i | ||||
\(589\) | −19.8421 | − | 14.4161i | −0.817581 | − | 0.594007i | ||||
\(590\) | −1.46563 | − | 25.9903i | −0.0603388 | − | 1.07000i | ||||
\(591\) | 1.27641 | + | 12.1443i | 0.0525047 | + | 0.499548i | ||||
\(592\) | 28.9395 | − | 26.0572i | 1.18941 | − | 1.07095i | ||||
\(593\) | −6.33434 | + | 3.65713i | −0.260120 | + | 0.150181i | −0.624389 | − | 0.781113i | \(-0.714652\pi\) |
0.364269 | + | 0.931294i | \(0.381319\pi\) | |||||||
\(594\) | −18.0808 | + | 55.6470i | −0.741864 | + | 2.28322i | ||||
\(595\) | 20.1270 | − | 9.48889i | 0.825126 | − | 0.389006i | ||||
\(596\) | −25.3906 | − | 78.1442i | −1.04004 | − | 3.20091i | ||||
\(597\) | −9.07664 | − | 8.17264i | −0.371482 | − | 0.334484i | ||||
\(598\) | 3.65054 | + | 8.19924i | 0.149282 | + | 0.335292i | ||||
\(599\) | −11.2190 | + | 19.4319i | −0.458397 | + | 0.793967i | −0.998876 | − | 0.0473904i | \(-0.984910\pi\) |
0.540480 | + | 0.841357i | \(0.318243\pi\) | |||||||
\(600\) | 12.2602 | − | 28.1362i | 0.500520 | − | 1.14866i | ||||
\(601\) | −4.94952 | −0.201895 | −0.100948 | − | 0.994892i | \(-0.532187\pi\) | ||||
−0.100948 | + | 0.994892i | \(0.532187\pi\) | |||||||
\(602\) | 21.4651 | − | 44.0373i | 0.874851 | − | 1.79482i | ||||
\(603\) | 1.02451 | − | 0.332885i | 0.0417214 | − | 0.0135561i | ||||
\(604\) | 13.5941 | − | 15.0978i | 0.553135 | − | 0.614319i | ||||
\(605\) | −13.7858 | + | 17.1630i | −0.560472 | + | 0.697773i | ||||
\(606\) | 31.0857 | + | 34.5241i | 1.26277 | + | 1.40245i | ||||
\(607\) | 9.55653 | − | 5.51747i | 0.387888 | − | 0.223947i | −0.293357 | − | 0.956003i | \(-0.594772\pi\) |
0.681245 | + | 0.732056i | \(0.261439\pi\) | |||||||
\(608\) | −15.8433 | − | 5.14779i | −0.642530 | − | 0.208771i | ||||
\(609\) | 22.6627 | + | 5.64456i | 0.918339 | + | 0.228729i | ||||
\(610\) | −9.10566 | + | 59.0067i | −0.368677 | + | 2.38911i | ||||
\(611\) | 0.769909 | − | 7.32519i | 0.0311472 | − | 0.296346i | ||||
\(612\) | 31.7981 | − | 3.34212i | 1.28536 | − | 0.135097i | ||||
\(613\) | −2.91875 | + | 0.306773i | −0.117887 | + | 0.0123904i | −0.163288 | − | 0.986578i | \(-0.552210\pi\) |
0.0454012 | + | 0.998969i | \(0.485543\pi\) | |||||||
\(614\) | 7.35399 | − | 69.9686i | 0.296783 | − | 2.82370i | ||||
\(615\) | −5.09438 | − | 9.90087i | −0.205425 | − | 0.399242i | ||||
\(616\) | 70.0739 | + | 17.4532i | 2.82336 | + | 0.703209i | ||||
\(617\) | 1.29732 | + | 0.421525i | 0.0522282 | + | 0.0169700i | 0.335015 | − | 0.942213i | \(-0.391259\pi\) |
−0.282786 | + | 0.959183i | \(0.591259\pi\) | |||||||
\(618\) | −15.6715 | + | 9.04796i | −0.630401 | + | 0.363962i | ||||
\(619\) | 15.1323 | + | 16.8062i | 0.608220 | + | 0.675497i | 0.966069 | − | 0.258283i | \(-0.0831566\pi\) |
−0.357850 | + | 0.933779i | \(0.616490\pi\) | |||||||
\(620\) | −32.0551 | − | 48.9340i | −1.28736 | − | 1.96523i | ||||
\(621\) | 5.11715 | − | 5.68318i | 0.205344 | − | 0.228058i | ||||
\(622\) | 37.0721 | − | 12.0455i | 1.48646 | − | 0.482979i | ||||
\(623\) | −4.09171 | + | 8.39445i | −0.163931 | + | 0.336317i | ||||
\(624\) | 15.3957 | 0.616322 | ||||||||
\(625\) | 24.3680 | − | 5.58561i | 0.974721 | − | 0.223425i | ||||
\(626\) | 5.53240 | − | 9.58239i | 0.221119 | − | 0.382989i | ||||
\(627\) | −7.80955 | − | 17.5405i | −0.311884 | − | 0.700502i | ||||
\(628\) | 10.5718 | + | 9.51889i | 0.421861 | + | 0.379845i | ||||
\(629\) | −7.12844 | − | 21.9391i | −0.284230 | − | 0.874769i | ||||
\(630\) | 19.9018 | + | 21.1625i | 0.792909 | + | 0.843135i | ||||
\(631\) | 10.6734 | − | 32.8493i | 0.424901 | − | 1.30771i | −0.478188 | − | 0.878257i | \(-0.658706\pi\) |
0.903089 | − | 0.429453i | \(-0.141294\pi\) | |||||||
\(632\) | −76.9163 | + | 44.4077i | −3.05957 | + | 1.76644i | ||||
\(633\) | 3.47070 | − | 3.12504i | 0.137948 | − | 0.124209i | ||||
\(634\) | −5.62773 | − | 53.5443i | −0.223506 | − | 2.12652i | ||||
\(635\) | −11.7505 | + | 18.2525i | −0.466304 | + | 0.724327i | ||||
\(636\) | −8.81042 | − | 6.40115i | −0.349356 | − | 0.253822i | ||||
\(637\) | −1.14507 | + | 16.4911i | −0.0453692 | + | 0.653403i | ||||
\(638\) | 58.2254 | + | 80.1404i | 2.30517 | + | 3.17279i | ||||
\(639\) | 0.596747 | − | 5.67767i | 0.0236069 | − | 0.224605i | ||||
\(640\) | 24.8918 | + | 19.9938i | 0.983937 | + | 0.790326i | ||||
\(641\) | 0.584747 | + | 5.56350i | 0.0230961 | + | 0.219745i | 0.999982 | + | 0.00598382i | \(0.00190472\pi\) |
−0.976886 | + | 0.213761i | \(0.931429\pi\) | |||||||
\(642\) | −3.59746 | − | 16.9247i | −0.141980 | − | 0.667965i | ||||
\(643\) | 25.6189i | 1.01031i | 0.863028 | + | 0.505156i | \(0.168565\pi\) | ||||
−0.863028 | + | 0.505156i | \(0.831435\pi\) | |||||||
\(644\) | −13.7199 | − | 10.7137i | −0.540638 | − | 0.422180i | ||||
\(645\) | −16.6484 | − | 2.56911i | −0.655530 | − | 0.101158i | ||||
\(646\) | −26.0143 | + | 28.8918i | −1.02352 | + | 1.13673i | ||||
\(647\) | 6.39108 | − | 30.0677i | 0.251259 | − | 1.18208i | −0.653757 | − | 0.756705i | \(-0.726808\pi\) |
0.905016 | − | 0.425378i | \(-0.139859\pi\) | |||||||
\(648\) | 1.51548 | + | 3.40383i | 0.0595338 | + | 0.133715i | ||||
\(649\) | −10.5306 | − | 18.2396i | −0.413363 | − | 0.715966i | ||||
\(650\) | 17.7062 | + | 23.9679i | 0.694496 | + | 0.940097i | ||||
\(651\) | −16.0192 | + | 2.82865i | −0.627841 | + | 0.110864i | ||||
\(652\) | −32.7893 | + | 45.1306i | −1.28413 | + | 1.76745i | ||||
\(653\) | 6.58973 | + | 5.93342i | 0.257876 | + | 0.232193i | 0.787920 | − | 0.615777i | \(-0.211158\pi\) |
−0.530044 | + | 0.847970i | \(0.677825\pi\) | |||||||
\(654\) | 29.7043 | + | 6.31384i | 1.16153 | + | 0.246891i | ||||
\(655\) | 0.798915 | − | 0.217473i | 0.0312162 | − | 0.00849738i | ||||
\(656\) | −30.1202 | + | 6.40224i | −1.17600 | + | 0.249966i | ||||
\(657\) | 20.6757i | 0.806636i | ||||||||
\(658\) | 7.80597 | + | 19.3068i | 0.304308 | + | 0.752659i | ||||
\(659\) | −13.1829 | + | 9.57791i | −0.513531 | + | 0.373102i | −0.814162 | − | 0.580638i | \(-0.802803\pi\) |
0.300630 | + | 0.953741i | \(0.402803\pi\) | |||||||
\(660\) | −2.57839 | − | 45.7232i | −0.100364 | − | 1.77977i | ||||
\(661\) | −40.5763 | + | 18.0657i | −1.57823 | + | 0.702675i | −0.994048 | − | 0.108944i | \(-0.965253\pi\) |
−0.584187 | + | 0.811619i | \(0.698586\pi\) | |||||||
\(662\) | 53.6835 | − | 5.64236i | 2.08647 | − | 0.219297i | ||||
\(663\) | 3.70944 | − | 8.33153i | 0.144063 | − | 0.323570i | ||||
\(664\) | 18.0318 | + | 13.1009i | 0.699771 | + | 0.508413i | ||||
\(665\) | −24.1478 | − | 2.01010i | −0.936410 | − | 0.0779483i | ||||
\(666\) | 24.3648 | − | 17.7021i | 0.944117 | − | 0.685941i | ||||
\(667\) | −2.69188 | − | 12.6643i | −0.104230 | − | 0.490363i | ||||
\(668\) | −68.0986 | − | 39.3167i | −2.63481 | − | 1.52121i | ||||
\(669\) | −16.0234 | − | 17.7958i | −0.619501 | − | 0.688026i | ||||
\(670\) | −2.42014 | + | 1.97575i | −0.0934980 | + | 0.0763300i | ||||
\(671\) | 14.9272 | + | 45.9412i | 0.576258 | + | 1.77354i | ||||
\(672\) | −9.75425 | + | 5.18949i | −0.376278 | + | 0.200189i | ||||
\(673\) | −6.57929 | + | 9.05562i | −0.253613 | + | 0.349069i | −0.916773 | − | 0.399410i | \(-0.869215\pi\) |
0.663159 | + | 0.748478i | \(0.269215\pi\) | |||||||
\(674\) | 40.7648 | + | 70.6067i | 1.57020 | + | 2.71967i | ||||
\(675\) | 12.5202 | − | 22.0891i | 0.481904 | − | 0.850208i | ||||
\(676\) | 16.2153 | − | 28.0857i | 0.623665 | − | 1.08022i | ||||
\(677\) | −31.3176 | − | 3.29161i | −1.20363 | − | 0.126507i | −0.518598 | − | 0.855018i | \(-0.673546\pi\) |
−0.685034 | + | 0.728511i | \(0.740212\pi\) | |||||||
\(678\) | 24.6710 | − | 8.01608i | 0.947483 | − | 0.307856i | ||||
\(679\) | −35.8583 | − | 1.24342i | −1.37611 | − | 0.0477180i | ||||
\(680\) | −44.7081 | + | 23.0040i | −1.71448 | + | 0.882165i | ||||
\(681\) | −7.89860 | + | 1.67890i | −0.302675 | + | 0.0643356i | ||||
\(682\) | −59.7518 | − | 34.4977i | −2.28801 | − | 1.32099i | ||||
\(683\) | −16.0812 | + | 14.4796i | −0.615330 | + | 0.554046i | −0.916758 | − | 0.399443i | \(-0.869204\pi\) |
0.301428 | + | 0.953489i | \(0.402537\pi\) | |||||||
\(684\) | −31.8077 | − | 14.1617i | −1.21620 | − | 0.541486i | ||||
\(685\) | 13.9166 | − | 2.26087i | 0.531727 | − | 0.0863835i | ||||
\(686\) | −19.0418 | − | 42.6842i | −0.727018 | − | 1.62969i | ||||
\(687\) | 6.77773 | + | 9.32874i | 0.258587 | + | 0.355914i | ||||
\(688\) | −18.9484 | + | 42.5589i | −0.722403 | + | 1.62254i | ||||
\(689\) | 5.23752 | − | 2.33189i | 0.199533 | − | 0.0888380i | ||||
\(690\) | −3.09464 | + | 8.15852i | −0.117811 | + | 0.310590i | ||||
\(691\) | 28.1287 | + | 12.5237i | 1.07007 | + | 0.476424i | 0.864714 | − | 0.502265i | \(-0.167500\pi\) |
0.205351 | + | 0.978688i | \(0.434166\pi\) | |||||||
\(692\) | −39.1223 | − | 12.7116i | −1.48721 | − | 0.483222i | ||||
\(693\) | 22.0883 | + | 8.03337i | 0.839066 | + | 0.305163i | ||||
\(694\) | −5.00393 | + | 15.4005i | −0.189947 | + | 0.584596i | ||||
\(695\) | −2.30729 | − | 1.48537i | −0.0875203 | − | 0.0563434i | ||||
\(696\) | −51.6193 | − | 10.9720i | −1.95663 | − | 0.415894i | ||||
\(697\) | −3.79251 | + | 17.8424i | −0.143652 | + | 0.675828i | ||||
\(698\) | 28.6164 | + | 3.00771i | 1.08315 | + | 0.113843i | ||||
\(699\) | 3.46255 | 0.130966 | ||||||||
\(700\) | −52.1515 | − | 24.9095i | −1.97114 | − | 0.941489i | ||||
\(701\) | 15.8424 | 0.598360 | 0.299180 | − | 0.954197i | \(-0.403287\pi\) | ||||
0.299180 | + | 0.954197i | \(0.403287\pi\) | |||||||
\(702\) | 30.0986 | + | 3.16349i | 1.13600 | + | 0.119398i | ||||
\(703\) | −5.22283 | + | 24.5715i | −0.196983 | + | 0.926731i | ||||
\(704\) | 10.8723 | + | 2.31097i | 0.409764 | + | 0.0870981i | ||||
\(705\) | 5.54706 | − | 4.52852i | 0.208914 | − | 0.170554i | ||||
\(706\) | 21.1149 | − | 64.9849i | 0.794669 | − | 2.44574i | ||||
\(707\) | 36.3296 | − | 30.4993i | 1.36632 | − | 1.14705i | ||||
\(708\) | 19.6803 | + | 6.39451i | 0.739630 | + | 0.240320i | ||||
\(709\) | −10.1348 | − | 4.51230i | −0.380620 | − | 0.169463i | 0.207503 | − | 0.978234i | \(-0.433466\pi\) |
−0.588123 | + | 0.808771i | \(0.700133\pi\) | |||||||
\(710\) | 4.34877 | + | 15.9758i | 0.163206 | + | 0.599559i | ||||
\(711\) | −26.4077 | + | 11.7575i | −0.990367 | + | 0.440940i | ||||
\(712\) | 8.58264 | − | 19.2769i | 0.321648 | − | 0.722433i | ||||
\(713\) | 5.30056 | + | 7.29559i | 0.198507 | + | 0.273222i | ||||
\(714\) | 1.80501 | + | 25.7224i | 0.0675508 | + | 0.962637i | ||||
\(715\) | 21.5247 | + | 10.8599i | 0.804980 | + | 0.406139i | ||||
\(716\) | −84.5560 | − | 37.6468i | −3.16001 | − | 1.40693i | ||||
\(717\) | 17.8132 | − | 16.0391i | 0.665248 | − | 0.598992i | ||||
\(718\) | 29.9531 | + | 17.2934i | 1.11784 | + | 0.645385i | ||||
\(719\) | 27.7092 | − | 5.88978i | 1.03338 | − | 0.219652i | 0.340152 | − | 0.940370i | \(-0.389521\pi\) |
0.693228 | + | 0.720719i | \(0.256188\pi\) | |||||||
\(720\) | −19.6115 | − | 19.4563i | −0.730876 | − | 0.725093i | ||||
\(721\) | 8.67834 | + | 16.3120i | 0.323198 | + | 0.607489i | ||||
\(722\) | −5.33826 | + | 1.73450i | −0.198669 | + | 0.0645516i | ||||
\(723\) | 23.1256 | + | 2.43060i | 0.860052 | + | 0.0903951i | ||||
\(724\) | −2.98402 | + | 5.16848i | −0.110900 | + | 0.192085i | ||||
\(725\) | −17.7956 | − | 39.1300i | −0.660910 | − | 1.45325i | ||||
\(726\) | −12.7551 | − | 22.0926i | −0.473388 | − | 0.819932i | ||||
\(727\) | 23.1979 | − | 31.9292i | 0.860362 | − | 1.18419i | −0.121121 | − | 0.992638i | \(-0.538649\pi\) |
0.981483 | − | 0.191549i | \(-0.0613511\pi\) | |||||||
\(728\) | 1.29446 | − | 37.3303i | 0.0479759 | − | 1.38355i | ||||
\(729\) | −4.45892 | − | 13.7232i | −0.165145 | − | 0.508265i | ||||
\(730\) | −21.7112 | − | 55.8951i | −0.803568 | − | 2.06877i | ||||
\(731\) | 18.4657 | + | 20.5082i | 0.682979 | + | 0.758525i | ||||
\(732\) | −41.1024 | − | 23.7305i | −1.51919 | − | 0.877103i | ||||
\(733\) | −1.93294 | − | 9.09378i | −0.0713949 | − | 0.335887i | 0.927925 | − | 0.372768i | \(-0.121591\pi\) |
−0.999320 | + | 0.0368809i | \(0.988258\pi\) | |||||||
\(734\) | 5.68408 | − | 4.12973i | 0.209803 | − | 0.152431i | ||||
\(735\) | −12.0821 | + | 10.5978i | −0.445654 | + | 0.390905i | ||||
\(736\) | 4.95528 | + | 3.60022i | 0.182654 | + | 0.132706i | ||||
\(737\) | −1.02810 | + | 2.30916i | −0.0378706 | + | 0.0850589i | ||||
\(738\) | −23.6840 | + | 2.48929i | −0.871821 | + | 0.0916321i | ||||
\(739\) | 16.8715 | − | 7.51168i | 0.620628 | − | 0.276321i | −0.0722382 | − | 0.997387i | \(-0.523014\pi\) |
0.692866 | + | 0.721066i | \(0.256348\pi\) | |||||||
\(740\) | −32.4326 | + | 50.3787i | −1.19225 | + | 1.85196i | ||||
\(741\) | −8.03466 | + | 5.83752i | −0.295161 | + | 0.214447i | ||||
\(742\) | −9.97665 | + | 12.7760i | −0.366254 | + | 0.469021i | ||||
\(743\) | 7.94278i | 0.291392i | 0.989329 | + | 0.145696i | \(0.0465422\pi\) | ||||
−0.989329 | + | 0.145696i | \(0.953458\pi\) | |||||||
\(744\) | 35.9533 | − | 7.64211i | 1.31811 | − | 0.280173i | ||||
\(745\) | 23.0440 | + | 35.1780i | 0.844267 | + | 1.28882i | ||||
\(746\) | 74.4487 | + | 15.8246i | 2.72576 | + | 0.579379i | ||||
\(747\) | 5.39099 | + | 4.85407i | 0.197246 | + | 0.177601i | ||||
\(748\) | −44.0979 | + | 60.6955i | −1.61238 | + | 2.21925i | ||||
\(749\) | −17.3979 | + | 3.07210i | −0.635705 | + | 0.112252i | ||||
\(750\) | −4.19074 | + | 28.6659i | −0.153024 | + | 1.04673i | ||||
\(751\) | −0.707316 | − | 1.22511i | −0.0258103 | − | 0.0447048i | 0.852832 | − | 0.522186i | \(-0.174883\pi\) |
−0.878642 | + | 0.477481i | \(0.841550\pi\) | |||||||
\(752\) | −8.05478 | − | 18.0913i | −0.293728 | − | 0.659723i | ||||
\(753\) | 2.54392 | − | 11.9682i | 0.0927057 | − | 0.436146i | ||||
\(754\) | 34.2848 | − | 38.0771i | 1.24858 | − | 1.38669i | ||||
\(755\) | −4.68379 | + | 9.28343i | −0.170461 | + | 0.337859i | ||||
\(756\) | −54.4184 | + | 22.0019i | −1.97918 | + | 0.800203i | ||||
\(757\) | 10.8339i | 0.393766i | 0.980427 | + | 0.196883i | \(0.0630820\pi\) | ||||
−0.980427 | + | 0.196883i | \(0.936918\pi\) | |||||||
\(758\) | −7.83081 | − | 36.8410i | −0.284428 | − | 1.33813i | ||||
\(759\) | 0.737938 | + | 7.02101i | 0.0267854 | + | 0.254846i | ||||
\(760\) | 54.6884 | + | 2.64834i | 1.98376 | + | 0.0960652i | ||||
\(761\) | −5.46763 | + | 52.0210i | −0.198201 | + | 1.88576i | 0.217208 | + | 0.976125i | \(0.430305\pi\) |
−0.415409 | + | 0.909635i | \(0.636362\pi\) | |||||||
\(762\) | −14.7860 | − | 20.3512i | −0.535640 | − | 0.737245i | ||||
\(763\) | 7.49395 | − | 30.0879i | 0.271299 | − | 1.08926i | ||||
\(764\) | −12.7901 | − | 9.29254i | −0.462729 | − | 0.336192i | ||||
\(765\) | −15.2541 | + | 5.92513i | −0.551514 | + | 0.214223i | ||||
\(766\) | 3.58602 | + | 34.1187i | 0.129568 | + | 1.23276i | ||||
\(767\) | −8.09570 | + | 7.28940i | −0.292319 | + | 0.263205i | ||||
\(768\) | −27.7118 | + | 15.9994i | −0.999962 | + | 0.577329i | ||||
\(769\) | 3.11581 | − | 9.58949i | 0.112359 | − | 0.345806i | −0.879028 | − | 0.476770i | \(-0.841807\pi\) |
0.991387 | + | 0.130964i | \(0.0418074\pi\) | |||||||
\(770\) | −68.1497 | + | 1.47701i | −2.45595 | + | 0.0532278i | ||||
\(771\) | −0.629448 | − | 1.93724i | −0.0226690 | − | 0.0697681i | ||||
\(772\) | −8.75566 | − | 7.88363i | −0.315123 | − | 0.283738i | ||||
\(773\) | 11.1423 | + | 25.0260i | 0.400761 | + | 0.900123i | 0.995371 | + | 0.0961092i | \(0.0306398\pi\) |
−0.594610 | + | 0.804014i | \(0.702694\pi\) | |||||||
\(774\) | −18.0143 | + | 31.2017i | −0.647512 | + | 1.12152i | ||||
\(775\) | 22.4085 | + | 19.8567i | 0.804938 | + | 0.713273i | ||||
\(776\) | 81.0733 | 2.91036 | ||||||||
\(777\) | 9.32015 | + | 13.8104i | 0.334359 | + | 0.495446i | ||||
\(778\) | 31.2462 | − | 10.1525i | 1.12023 | − | 0.363985i | ||||
\(779\) | 13.2915 | − | 14.7617i | 0.476217 | − | 0.528893i | ||||
\(780\) | −22.8560 | + | 6.22166i | −0.818378 | + | 0.222771i | ||||
\(781\) | 8.96350 | + | 9.95498i | 0.320739 | + | 0.356217i | ||||
\(782\) | 12.3795 | − | 7.14733i | 0.442692 | − | 0.255588i | ||||
\(783\) | −41.5213 | − | 13.4911i | −1.48385 | − | 0.482132i | ||||
\(784\) | 19.5033 | + | 39.9381i | 0.696546 | + | 1.42636i | ||||
\(785\) | −6.50047 | − | 3.27970i | −0.232012 | − | 0.117058i | ||||
\(786\) | −0.100294 | + | 0.954232i | −0.00357736 | + | 0.0340363i | ||||
\(787\) | −14.4760 | + | 1.52149i | −0.516015 | + | 0.0542353i | −0.358957 | − | 0.933354i | \(-0.616868\pi\) |
−0.157058 | + | 0.987589i | \(0.550201\pi\) | |||||||
\(788\) | −51.6740 | + | 5.43116i | −1.84081 | + | 0.193477i | ||||
\(789\) | 0.858406 | − | 8.16719i | 0.0305601 | − | 0.290760i | ||||
\(790\) | 59.0448 | − | 59.5157i | 2.10072 | − | 2.11747i | ||||
\(791\) | −7.30694 | − | 25.4588i | −0.259805 | − | 0.905211i | ||||
\(792\) | −50.5093 | − | 16.4115i | −1.79477 | − | 0.583157i | ||||
\(793\) | 21.6383 | − | 12.4929i | 0.768398 | − | 0.443635i | ||||
\(794\) | 16.1809 | + | 17.9707i | 0.574240 | + | 0.637758i | ||||
\(795\) | 5.21150 | + | 1.97680i | 0.184833 | + | 0.0701097i | ||||
\(796\) | 34.7747 | − | 38.6212i | 1.23256 | − | 1.36889i | ||||
\(797\) | −28.0739 | + | 9.12175i | −0.994427 | + | 0.323109i | −0.760636 | − | 0.649178i | \(-0.775113\pi\) |
−0.233790 | + | 0.972287i | \(0.575113\pi\) | |||||||
\(798\) | 12.3032 | − | 25.2409i | 0.435528 | − | 0.893519i | ||||
\(799\) | −11.7310 | −0.415013 | ||||||||
\(800\) | 18.6430 | + | 8.12358i | 0.659130 | + | 0.287212i | ||||
\(801\) | 3.43392 | − | 5.94773i | 0.121332 | − | 0.210153i | ||||
\(802\) | 19.0733 | + | 42.8394i | 0.673502 | + | 1.51271i | ||||
\(803\) | −36.0533 | − | 32.4626i | −1.27229 | − | 1.14558i | ||||
\(804\) | −0.767443 | − | 2.36195i | −0.0270656 | − | 0.0832994i | ||||
\(805\) | 8.21575 | + | 3.44657i | 0.289567 | + | 0.121476i | ||||
\(806\) | −11.0281 | + | 33.9409i | −0.388447 | + | 1.19552i | ||||
\(807\) | −7.86516 | + | 4.54095i | −0.276867 | + | 0.159849i | ||||
\(808\) | −79.6520 | + | 71.7190i | −2.80215 | + | 2.52307i | ||||
\(809\) | −0.503901 | − | 4.79430i | −0.0177162 | − | 0.168559i | 0.982086 | − | 0.188432i | \(-0.0603404\pi\) |
−0.999803 | + | 0.0198732i | \(0.993674\pi\) | |||||||
\(810\) | −2.22419 | − | 2.72445i | −0.0781501 | − | 0.0957274i | ||||
\(811\) | −18.7053 | − | 13.5902i | −0.656833 | − | 0.477217i | 0.208759 | − | 0.977967i | \(-0.433058\pi\) |
−0.865592 | + | 0.500750i | \(0.833058\pi\) | |||||||
\(812\) | −24.0176 | + | 96.4300i | −0.842854 | + | 3.38403i | ||||
\(813\) | 12.9118 | + | 17.7715i | 0.452835 | + | 0.623274i | ||||
\(814\) | −7.38672 | + | 70.2799i | −0.258904 | + | 2.46331i | ||||
\(815\) | 10.1260 | − | 26.6954i | 0.354697 | − | 0.935101i | ||||
\(816\) | −2.56310 | − | 24.3862i | −0.0897263 | − | 0.853689i | ||||
\(817\) | −6.24811 | − | 29.3951i | −0.218594 | − | 1.02840i | ||||
\(818\) | − | 57.3449i | − | 2.00502i | ||||||
\(819\) | 1.68902 | − | 12.0393i | 0.0590190 | − | 0.420689i | ||||
\(820\) | 42.1283 | − | 21.6766i | 1.47118 | − | 0.756981i | ||||
\(821\) | 25.5037 | − | 28.3248i | 0.890086 | − | 0.988541i | −0.109899 | − | 0.993943i | \(-0.535053\pi\) |
0.999985 | + | 0.00540211i | \(0.00171955\pi\) | |||||||
\(822\) | −3.39693 | + | 15.9813i | −0.118482 | + | 0.557412i | ||||
\(823\) | −0.217740 | − | 0.489052i | −0.00758993 | − | 0.0170473i | 0.909711 | − | 0.415243i | \(-0.136303\pi\) |
−0.917301 | + | 0.398195i | \(0.869637\pi\) | |||||||
\(824\) | −20.8749 | − | 36.1564i | −0.727212 | − | 1.25957i | ||||
\(825\) | 7.41992 | + | 22.2336i | 0.258328 | + | 0.774076i | ||||
\(826\) | 10.5275 | − | 28.9460i | 0.366298 | − | 1.00716i | ||||
\(827\) | 9.36166 | − | 12.8852i | 0.325537 | − | 0.448063i | −0.614611 | − | 0.788831i | \(-0.710687\pi\) |
0.940148 | + | 0.340768i | \(0.110687\pi\) | |||||||
\(828\) | 9.51366 | + | 8.56614i | 0.330623 | + | 0.297694i | ||||
\(829\) | −19.8314 | − | 4.21529i | −0.688772 | − | 0.146403i | −0.149787 | − | 0.988718i | \(-0.547859\pi\) |
−0.538985 | + | 0.842315i | \(0.681192\pi\) | |||||||
\(830\) | −19.6713 | − | 7.46159i | −0.682800 | − | 0.258996i | ||||
\(831\) | 8.03333 | − | 1.70754i | 0.278673 | − | 0.0592338i | ||||
\(832\) | − | 5.74927i | − | 0.199320i | ||||||
\(833\) | 26.3120 | − | 0.931723i | 0.911656 | − | 0.0322823i | ||||
\(834\) | 2.57258 | − | 1.86909i | 0.0890812 | − | 0.0647213i | ||||
\(835\) | 38.9156 | + | 10.2619i | 1.34673 | + | 0.355129i | ||||
\(836\) | 74.6352 | − | 33.2297i | 2.58131 | − | 1.14927i | ||||
\(837\) | 30.2416 | − | 3.17853i | 1.04530 | − | 0.109866i | ||||
\(838\) | −23.1350 | + | 51.9620i | −0.799185 | + | 1.79500i | ||||
\(839\) | 14.6929 | + | 10.6750i | 0.507254 | + | 0.368542i | 0.811781 | − | 0.583962i | \(-0.198498\pi\) |
−0.304527 | + | 0.952504i | \(0.598498\pi\) | |||||||
\(840\) | 26.4541 | − | 24.8782i | 0.912753 | − | 0.858380i | ||||
\(841\) | −36.3357 | + | 26.3995i | −1.25296 | + | 0.910326i | ||||
\(842\) | 16.2464 | + | 76.4334i | 0.559888 | + | 2.63407i | ||||
\(843\) | −6.71186 | − | 3.87510i | −0.231169 | − | 0.133465i | ||||
\(844\) | 13.2971 | + | 14.7679i | 0.457704 | + | 0.508331i | ||||
\(845\) | −4.23230 | + | 16.0499i | −0.145596 | + | 0.552132i | ||||
\(846\) | −4.73272 | − | 14.5658i | −0.162714 | − | 0.500783i | ||||
\(847\) | −22.9954 | + | 12.2341i | −0.790131 | + | 0.420368i | ||||
\(848\) | 9.06044 | − | 12.4706i | 0.311137 | − | 0.428243i | ||||
\(849\) | −7.39890 | − | 12.8153i | −0.253930 | − | 0.439819i | ||||
\(850\) | 35.0164 | − | 32.0362i | 1.20105 | − | 1.09883i | ||||
\(851\) | 4.61816 | − | 7.99889i | 0.158309 | − | 0.274199i | ||||
\(852\) | −13.0895 | − | 1.37576i | −0.448438 | − | 0.0471327i | ||||
\(853\) | −23.9006 | + | 7.76578i | −0.818341 | + | 0.265895i | −0.688127 | − | 0.725591i | \(-0.741567\pi\) |
−0.130215 | + | 0.991486i | \(0.541567\pi\) | |||||||
\(854\) | −37.4210 | + | 59.9188i | −1.28052 | + | 2.05038i | ||||
\(855\) | 17.6119 | + | 2.71779i | 0.602314 | + | 0.0929464i | ||||
\(856\) | 39.0477 | − | 8.29984i | 1.33462 | − | 0.283683i | ||||
\(857\) | −35.7684 | − | 20.6509i | −1.22183 | − | 0.705421i | −0.256518 | − | 0.966539i | \(-0.582575\pi\) |
−0.965307 | + | 0.261118i | \(0.915909\pi\) | |||||||
\(858\) | −20.7622 | + | 18.6943i | −0.708809 | + | 0.638215i | ||||
\(859\) | 37.7625 | + | 16.8130i | 1.28844 | + | 0.573650i | 0.932605 | − | 0.360898i | \(-0.117530\pi\) |
0.355835 | + | 0.934549i | \(0.384197\pi\) | |||||||
\(860\) | 10.9316 | − | 70.8391i | 0.372764 | − | 2.41559i | ||||
\(861\) | −0.922233 | − | 13.1423i | −0.0314296 | − | 0.447890i | ||||
\(862\) | −1.61086 | − | 2.21716i | −0.0548662 | − | 0.0755169i | ||||
\(863\) | −4.10617 | + | 9.22261i | −0.139776 | + | 0.313941i | −0.969846 | − | 0.243717i | \(-0.921633\pi\) |
0.830071 | + | 0.557658i | \(0.188300\pi\) | |||||||
\(864\) | 18.8682 | − | 8.40064i | 0.641908 | − | 0.285796i | ||||
\(865\) | 21.0292 | + | 1.01836i | 0.715015 | + | 0.0346253i | ||||
\(866\) | −33.0016 | − | 14.6933i | −1.12144 | − | 0.499297i | ||||
\(867\) | 2.78627 | + | 0.905315i | 0.0946268 | + | 0.0307461i | ||||
\(868\) | −12.0359 | − | 68.1617i | −0.408527 | − | 2.31356i | ||||
\(869\) | 20.9602 | − | 64.5087i | 0.711025 | − | 2.18831i | ||||
\(870\) | 49.7347 | − | 2.80460i | 1.68616 | − | 0.0950849i | ||||
\(871\) | 1.27886 | + | 0.271831i | 0.0433326 | + | 0.00921064i | ||||
\(872\) | −14.5669 | + | 68.5320i | −0.493298 | + | 2.32079i | ||||
\(873\) | 26.2425 | + | 2.75819i | 0.888173 | + | 0.0933507i | ||||
\(874\) | −15.5664 | −0.526542 | ||||||||
\(875\) | 29.1034 | + | 5.29071i | 0.983875 | + | 0.178859i | ||||
\(876\) | 47.6664 | 1.61050 | ||||||||
\(877\) | −41.4945 | − | 4.36125i | −1.40117 | − | 0.147269i | −0.626395 | − | 0.779505i | \(-0.715470\pi\) |
−0.774775 | + | 0.632236i | \(0.782137\pi\) | |||||||
\(878\) | 11.0956 | − | 52.2007i | 0.374458 | − | 1.76169i | ||||
\(879\) | 2.29463 | + | 0.487738i | 0.0773958 | + | 0.0164510i | ||||
\(880\) | 64.7185 | − | 3.64956i | 2.18166 | − | 0.123027i | ||||
\(881\) | −9.20865 | + | 28.3413i | −0.310247 | + | 0.954843i | 0.667420 | + | 0.744682i | \(0.267399\pi\) |
−0.977667 | + | 0.210161i | \(0.932601\pi\) | |||||||
\(882\) | 11.7721 | + | 32.2944i | 0.396387 | + | 1.08741i | ||||
\(883\) | 2.69704 | + | 0.876322i | 0.0907627 | + | 0.0294906i | 0.354046 | − | 0.935228i | \(-0.384806\pi\) |
−0.263284 | + | 0.964718i | \(0.584806\pi\) | |||||||
\(884\) | 35.4508 | + | 15.7837i | 1.19234 | + | 0.530863i | ||||
\(885\) | −10.5786 | − | 0.512281i | −0.355597 | − | 0.0172201i | ||||
\(886\) | −3.08243 | + | 1.37239i | −0.103556 | + | 0.0461062i | ||||
\(887\) | −16.0626 | + | 36.0773i | −0.539331 | + | 1.21136i | 0.414234 | + | 0.910170i | \(0.364049\pi\) |
−0.953565 | + | 0.301187i | \(0.902617\pi\) | |||||||
\(888\) | −22.1284 | − | 30.4571i | −0.742580 | − | 1.02207i | ||||
\(889\) | −21.2903 | + | 14.3681i | −0.714053 | + | 0.481889i | ||||
\(890\) | −3.03772 | + | 19.6851i | −0.101825 | + | 0.659846i | ||||
\(891\) | −2.59952 | − | 1.15738i | −0.0870871 | − | 0.0387737i | ||||
\(892\) | 75.7214 | − | 68.1799i | 2.53534 | − | 2.28283i | ||||
\(893\) | 11.0632 | + | 6.38734i | 0.370216 | + | 0.213744i | ||||
\(894\) | −47.6679 | + | 10.1321i | −1.59425 | + | 0.338869i | ||||
\(895\) | 46.8186 | + | 7.22484i | 1.56497 | + | 0.241500i | ||||
\(896\) | 17.7434 | + | 33.3508i | 0.592765 | + | 1.11417i | ||||
\(897\) | 3.47287 | − | 1.12840i | 0.115956 | − | 0.0376763i | ||||
\(898\) | −20.3390 | − | 2.13771i | −0.678721 | − | 0.0713365i | ||||
\(899\) | 25.7407 | − | 44.5841i | 0.858499 | − | 1.48696i | ||||
\(900\) | 36.9772 | + | 20.9589i | 1.23257 | + | 0.698631i | ||||
\(901\) | −4.56558 | − | 7.90781i | −0.152101 | − | 0.263447i | ||||
\(902\) | 32.8452 | − | 45.2075i | 1.09362 | − | 1.50524i | ||||
\(903\) | −16.9057 | − | 10.5581i | −0.562587 | − | 0.351352i | ||||
\(904\) | 18.4942 | + | 56.9194i | 0.615109 | + | 1.89311i | ||||
\(905\) | 0.778850 | − | 2.95358i | 0.0258898 | − | 0.0981803i | ||||
\(906\) | −8.06271 | − | 8.95454i | −0.267865 | − | 0.297495i | ||||
\(907\) | −9.79749 | − | 5.65658i | −0.325320 | − | 0.187824i | 0.328441 | − | 0.944524i | \(-0.393477\pi\) |
−0.653762 | + | 0.756701i | \(0.726810\pi\) | |||||||
\(908\) | −7.14374 | − | 33.6087i | −0.237073 | − | 1.11534i | ||||
\(909\) | −28.2224 | + | 20.5048i | −0.936078 | + | 0.680100i | ||||
\(910\) | 8.07620 | + | 34.3210i | 0.267723 | + | 1.13773i | ||||
\(911\) | 18.1233 | + | 13.1674i | 0.600453 | + | 0.436254i | 0.846040 | − | 0.533120i | \(-0.178981\pi\) |
−0.245587 | + | 0.969375i | \(0.578981\pi\) | |||||||
\(912\) | −10.8607 | + | 24.3936i | −0.359634 | + | 0.807752i | ||||
\(913\) | −16.9286 | + | 1.77927i | −0.560255 | + | 0.0588851i | ||||
\(914\) | −55.7359 | + | 24.8152i | −1.84358 | + | 0.820814i | ||||
\(915\) | 23.4884 | + | 6.19381i | 0.776501 | + | 0.204761i | ||||
\(916\) | −39.6939 | + | 28.8393i | −1.31152 | + | 0.952878i | ||||
\(917\) | 0.970185 | + | 0.136109i | 0.0320383 | + | 0.00449470i | ||||
\(918\) | − | 48.2017i | − | 1.59089i | ||||||
\(919\) | −10.0406 | + | 2.13420i | −0.331210 | + | 0.0704009i | −0.370515 | − | 0.928826i | \(-0.620819\pi\) |
0.0393051 | + | 0.999227i | \(0.487486\pi\) | |||||||
\(920\) | −18.8229 | − | 7.13978i | −0.620571 | − | 0.235391i | ||||
\(921\) | −27.9983 | − | 5.95122i | −0.922575 | − | 0.196099i | ||||
\(922\) | 1.92487 | + | 1.73316i | 0.0633923 | + | 0.0570787i | ||||
\(923\) | 4.07270 | − | 5.60559i | 0.134055 | − | 0.184510i | ||||
\(924\) | 18.5204 | − | 50.9231i | 0.609276 | − | 1.67525i | ||||
\(925\) | 9.24430 | − | 29.2393i | 0.303951 | − | 0.961382i | ||||
\(926\) | −26.0899 | − | 45.1890i | −0.857367 | − | 1.48500i | ||||
\(927\) | −5.52689 | − | 12.4136i | −0.181527 | − | 0.407716i | ||||
\(928\) | 7.27004 | − | 34.2029i | 0.238651 | − | 1.12276i | ||||
\(929\) | −1.33379 | + | 1.48132i | −0.0437601 | + | 0.0486005i | −0.764627 | − | 0.644473i | \(-0.777077\pi\) |
0.720867 | + | 0.693073i | \(0.243744\pi\) | |||||||
\(930\) | −30.8512 | + | 15.8742i | −1.01165 | + | 0.520534i | ||||
\(931\) | −25.3214 | − | 13.4478i | −0.829877 | − | 0.440733i | ||||
\(932\) | 14.7332i | 0.482602i | ||||||||
\(933\) | −3.29730 | − | 15.5126i | −0.107949 | − | 0.507859i | ||||
\(934\) | −6.21854 | − | 59.1654i | −0.203477 | − | 1.93595i | ||||
\(935\) | 13.6183 | − | 35.9024i | 0.445365 | − | 1.17413i | ||||
\(936\) | −2.87142 | + | 27.3197i | −0.0938553 | + | 0.892974i | ||||
\(937\) | −0.0903773 | − | 0.124394i | −0.00295250 | − | 0.00406376i | 0.807538 | − | 0.589815i | \(-0.200799\pi\) |
−0.810491 | + | 0.585752i | \(0.800799\pi\) | |||||||
\(938\) | −3.55316 | + | 1.01979i | −0.116015 | + | 0.0332974i | ||||
\(939\) | −3.64200 | − | 2.64606i | −0.118852 | − | 0.0863510i | ||||
\(940\) | 19.2689 | + | 23.6028i | 0.628482 | + | 0.769838i | ||||
\(941\) | 3.93993 | + | 37.4859i | 0.128438 | + | 1.22201i | 0.848916 | + | 0.528528i | \(0.177256\pi\) |
−0.720478 | + | 0.693478i | \(0.756077\pi\) | |||||||
\(942\) | 6.27018 | − | 5.64569i | 0.204293 | − | 0.183947i | ||||
\(943\) | −6.32508 | + | 3.65178i | −0.205973 | + | 0.118918i | ||||
\(944\) | −9.05105 | + | 27.8563i | −0.294587 | + | 0.906644i | ||||
\(945\) | 23.9166 | − | 18.1811i | 0.778008 | − | 0.591430i | ||||
\(946\) | −26.1241 | − | 80.4019i | −0.849369 | − | 2.61409i | ||||
\(947\) | 24.2404 | + | 21.8262i | 0.787709 | + | 0.709256i | 0.961282 | − | 0.275565i | \(-0.0888649\pi\) |
−0.173574 | + | 0.984821i | \(0.555532\pi\) | |||||||
\(948\) | 27.1060 | + | 60.8811i | 0.880363 | + | 1.97733i | ||||
\(949\) | −12.5470 | + | 21.7320i | −0.407292 | + | 0.705450i | ||||
\(950\) | −50.4662 | + | 11.1466i | −1.63734 | + | 0.361645i | ||||
\(951\) | −21.9047 | −0.710308 | ||||||||
\(952\) | −59.3453 | + | 4.16441i | −1.92339 | + | 0.134969i | ||||
\(953\) | −5.29807 | + | 1.72145i | −0.171621 | + | 0.0557631i | −0.393567 | − | 0.919296i | \(-0.628759\pi\) |
0.221946 | + | 0.975059i | \(0.428759\pi\) | |||||||
\(954\) | 7.97682 | − | 8.85915i | 0.258259 | − | 0.286826i | ||||
\(955\) | 7.56554 | + | 2.86971i | 0.244815 | + | 0.0928618i | ||||
\(956\) | 68.2466 | + | 75.7955i | 2.20725 | + | 2.45140i | ||||
\(957\) | 34.9030 | − | 20.1513i | 1.12825 | − | 0.651398i | ||||
\(958\) | 67.9964 | + | 22.0934i | 2.19687 | + | 0.713805i | ||||
\(959\) | 16.1877 | + | 4.03184i | 0.522729 | + | 0.130195i | ||||
\(960\) | 3.93662 | − | 3.96802i | 0.127054 | − | 0.128067i | ||||
\(961\) | −0.507714 | + | 4.83058i | −0.0163779 | + | 0.155825i | ||||
\(962\) | 36.3520 | − | 3.82075i | 1.17203 | − | 0.123186i | ||||
\(963\) | 12.9216 | − | 1.35812i | 0.416394 | − | 0.0437648i | ||||
\(964\) | −10.3422 | + | 98.3999i | −0.333101 | + | 3.16925i | ||||
\(965\) | 5.38375 | + | 2.71628i | 0.173309 | + | 0.0874401i | ||||
\(966\) | −7.17013 | + | 7.42852i | −0.230695 | + | 0.239009i | ||||
\(967\) | 34.8767 | + | 11.3321i | 1.12156 | + | 0.364417i | 0.810363 | − | 0.585928i | \(-0.199270\pi\) |
0.311197 | + | 0.950345i | \(0.399270\pi\) | |||||||
\(968\) | 50.9707 | − | 29.4279i | 1.63826 | − | 0.945849i | ||||
\(969\) | 10.5840 | + | 11.7548i | 0.340008 | + | 0.377617i | ||||
\(970\) | −73.8408 | + | 20.1002i | −2.37088 | + | 0.645380i | ||||
\(971\) | −18.3303 | + | 20.3578i | −0.588246 | + | 0.653314i | −0.961626 | − | 0.274365i | \(-0.911532\pi\) |
0.373379 | + | 0.927679i | \(0.378199\pi\) | |||||||
\(972\) | 65.9586 | − | 21.4313i | 2.11562 | − | 0.687408i | ||||
\(973\) | −1.81626 | − | 2.69129i | −0.0582266 | − | 0.0862789i | ||||
\(974\) | −62.6619 | −2.00782 | ||||||||
\(975\) | 10.4510 | − | 6.14509i | 0.334700 | − | 0.196800i | ||||
\(976\) | 33.5891 | − | 58.1780i | 1.07516 | − | 1.86223i | ||||
\(977\) | −13.4884 | − | 30.2954i | −0.431531 | − | 0.969235i | −0.990176 | − | 0.139828i | \(-0.955345\pi\) |
0.558645 | − | 0.829407i | \(-0.311322\pi\) | |||||||
\(978\) | 24.5877 | + | 22.1388i | 0.786227 | + | 0.707922i | ||||
\(979\) | 4.97983 | + | 15.3263i | 0.159156 | + | 0.489832i | ||||
\(980\) | −45.0937 | − | 51.4093i | −1.44046 | − | 1.64221i | ||||
\(981\) | −7.04667 | + | 21.6874i | −0.224983 | + | 0.692426i | ||||
\(982\) | 58.6363 | − | 33.8537i | 1.87116 | − | 1.08031i | ||||
\(983\) | −1.17483 | + | 1.05782i | −0.0374712 | + | 0.0337393i | −0.687654 | − | 0.726039i | \(-0.741359\pi\) |
0.650182 | + | 0.759778i | \(0.274693\pi\) | |||||||
\(984\) | 3.11173 | + | 29.6061i | 0.0991982 | + | 0.943808i | ||||
\(985\) | 24.7889 | − | 9.62871i | 0.789840 | − | 0.306796i | ||||
\(986\) | −66.0205 | − | 47.9667i | −2.10252 | − | 1.52757i | ||||
\(987\) | 8.14400 | − | 2.33741i | 0.259226 | − | 0.0744006i | ||||
\(988\) | −24.8387 | − | 34.1876i | −0.790225 | − | 1.08765i | ||||
\(989\) | −1.15499 | + | 10.9890i | −0.0367264 | + | 0.349429i | ||||
\(990\) | 50.0723 | + | 2.42480i | 1.59140 | + | 0.0770651i | ||||
\(991\) | −0.00277097 | − | 0.0263640i | −8.80229e−5 | − | 0.000837482i | 0.994478 | − | 0.104947i | \(-0.0334674\pi\) |
−0.994566 | + | 0.104110i | \(0.966801\pi\) | |||||||
\(992\) | 5.06365 | + | 23.8226i | 0.160771 | + | 0.756368i | ||||
\(993\) | − | 21.9616i | − | 0.696932i | ||||||
\(994\) | −2.72174 | + | 19.4006i | −0.0863282 | + | 0.615350i | ||||
\(995\) | −11.9815 | + | 23.7477i | −0.379839 | + | 0.752853i | ||||
\(996\) | 11.1907 | − | 12.4286i | 0.354591 | − | 0.393814i | ||||
\(997\) | 4.85975 | − | 22.8633i | 0.153910 | − | 0.724089i | −0.831724 | − | 0.555190i | \(-0.812646\pi\) |
0.985633 | − | 0.168899i | \(-0.0540211\pi\) | |||||||
\(998\) | 24.2599 | + | 54.4887i | 0.767935 | + | 1.72481i | ||||
\(999\) | −15.5725 | − | 26.9723i | −0.492691 | − | 0.853367i |
(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 | 175.2.t.a.109.18 | yes | 144 | |
5.2 | odd | 4 | 875.2.q.b.326.3 | 288 | |||
5.3 | odd | 4 | 875.2.q.b.326.34 | 288 | |||
5.4 | even | 2 | 875.2.u.a.424.1 | 144 | |||
7.2 | even | 3 | inner | 175.2.t.a.9.1 | ✓ | 144 | |
25.2 | odd | 20 | 875.2.q.b.676.34 | 288 | |||
25.11 | even | 5 | 875.2.u.a.74.18 | 144 | |||
25.14 | even | 10 | inner | 175.2.t.a.39.1 | yes | 144 | |
25.23 | odd | 20 | 875.2.q.b.676.3 | 288 | |||
35.2 | odd | 12 | 875.2.q.b.576.34 | 288 | |||
35.9 | even | 6 | 875.2.u.a.674.18 | 144 | |||
35.23 | odd | 12 | 875.2.q.b.576.3 | 288 | |||
175.2 | odd | 60 | 875.2.q.b.51.3 | 288 | |||
175.23 | odd | 60 | 875.2.q.b.51.34 | 288 | |||
175.86 | even | 15 | 875.2.u.a.324.1 | 144 | |||
175.114 | even | 30 | inner | 175.2.t.a.114.18 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.t.a.9.1 | ✓ | 144 | 7.2 | even | 3 | inner | |
175.2.t.a.39.1 | yes | 144 | 25.14 | even | 10 | inner | |
175.2.t.a.109.18 | yes | 144 | 1.1 | even | 1 | trivial | |
175.2.t.a.114.18 | yes | 144 | 175.114 | even | 30 | inner | |
875.2.q.b.51.3 | 288 | 175.2 | odd | 60 | |||
875.2.q.b.51.34 | 288 | 175.23 | odd | 60 | |||
875.2.q.b.326.3 | 288 | 5.2 | odd | 4 | |||
875.2.q.b.326.34 | 288 | 5.3 | odd | 4 | |||
875.2.q.b.576.3 | 288 | 35.23 | odd | 12 | |||
875.2.q.b.576.34 | 288 | 35.2 | odd | 12 | |||
875.2.q.b.676.3 | 288 | 25.23 | odd | 20 | |||
875.2.q.b.676.34 | 288 | 25.2 | odd | 20 | |||
875.2.u.a.74.18 | 144 | 25.11 | even | 5 | |||
875.2.u.a.324.1 | 144 | 175.86 | even | 15 | |||
875.2.u.a.424.1 | 144 | 5.4 | even | 2 | |||
875.2.u.a.674.18 | 144 | 35.9 | even | 6 |