Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(34,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.34");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.r (of order \(22\), degree \(10\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 412.13 | ||
Character | \(\chi\) | \(=\) | 483.412 |
Dual form | 483.2.r.a.34.13 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{13}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.795109 | − | 0.510986i | −0.562227 | − | 0.361321i | 0.228449 | − | 0.973556i | \(-0.426635\pi\) |
−0.790676 | + | 0.612234i | \(0.790271\pi\) | |||||||
\(3\) | −0.989821 | + | 0.142315i | −0.571474 | + | 0.0821655i | ||||
\(4\) | −0.459738 | − | 1.00669i | −0.229869 | − | 0.503343i | ||||
\(5\) | 1.49456 | + | 0.438843i | 0.668388 | + | 0.196257i | 0.598285 | − | 0.801283i | \(-0.295849\pi\) |
0.0701032 | + | 0.997540i | \(0.477667\pi\) | |||||||
\(6\) | 0.859737 | + | 0.392629i | 0.350986 | + | 0.160290i | ||||
\(7\) | −0.275939 | − | 2.63132i | −0.104295 | − | 0.994546i | ||||
\(8\) | −0.417877 | + | 2.90640i | −0.147742 | + | 1.02757i | ||||
\(9\) | 0.959493 | − | 0.281733i | 0.319831 | − | 0.0939109i | ||||
\(10\) | −0.964098 | − | 1.11263i | −0.304874 | − | 0.351844i | ||||
\(11\) | −0.572532 | − | 0.890878i | −0.172625 | − | 0.268610i | 0.744151 | − | 0.668011i | \(-0.232854\pi\) |
−0.916776 | + | 0.399402i | \(0.869218\pi\) | |||||||
\(12\) | 0.598324 | + | 0.931011i | 0.172721 | + | 0.268760i | ||||
\(13\) | 0.623842 | − | 0.540562i | 0.173023 | − | 0.149925i | −0.564045 | − | 0.825744i | \(-0.690755\pi\) |
0.737067 | + | 0.675819i | \(0.236210\pi\) | |||||||
\(14\) | −1.12517 | + | 2.23319i | −0.300714 | + | 0.596845i | ||||
\(15\) | −1.54180 | − | 0.221678i | −0.398092 | − | 0.0572370i | ||||
\(16\) | 0.367925 | − | 0.424608i | 0.0919812 | − | 0.106152i | ||||
\(17\) | 2.42411 | − | 5.30805i | 0.587932 | − | 1.28739i | −0.348752 | − | 0.937215i | \(-0.613394\pi\) |
0.936684 | − | 0.350176i | \(-0.113878\pi\) | |||||||
\(18\) | −0.906863 | − | 0.266279i | −0.213750 | − | 0.0627626i | ||||
\(19\) | −0.166950 | − | 0.365570i | −0.0383011 | − | 0.0838676i | 0.889514 | − | 0.456907i | \(-0.151043\pi\) |
−0.927815 | + | 0.373040i | \(0.878316\pi\) | |||||||
\(20\) | −0.245330 | − | 1.70631i | −0.0548574 | − | 0.381542i | ||||
\(21\) | 0.647606 | + | 2.56527i | 0.141319 | + | 0.559788i | ||||
\(22\) | 1.00090i | 0.213393i | ||||||||
\(23\) | −3.24202 | + | 3.53402i | −0.676008 | + | 0.736894i | ||||
\(24\) | − | 2.93629i | − | 0.599367i | ||||||
\(25\) | −2.16514 | − | 1.39145i | −0.433027 | − | 0.278290i | ||||
\(26\) | −0.772242 | + | 0.111032i | −0.151449 | + | 0.0217751i | ||||
\(27\) | −0.909632 | + | 0.415415i | −0.175059 | + | 0.0799467i | ||||
\(28\) | −2.52205 | + | 1.48750i | −0.476623 | + | 0.281111i | ||||
\(29\) | −0.929966 | + | 2.03634i | −0.172690 | + | 0.378139i | −0.976111 | − | 0.217273i | \(-0.930284\pi\) |
0.803421 | + | 0.595412i | \(0.203011\pi\) | |||||||
\(30\) | 1.11263 | + | 0.964098i | 0.203137 | + | 0.176019i | ||||
\(31\) | −6.11805 | − | 0.879642i | −1.09883 | − | 0.157988i | −0.431038 | − | 0.902334i | \(-0.641853\pi\) |
−0.667795 | + | 0.744345i | \(0.732762\pi\) | |||||||
\(32\) | 5.12518 | − | 1.50489i | 0.906013 | − | 0.266029i | ||||
\(33\) | 0.693490 | + | 0.800330i | 0.120721 | + | 0.139320i | ||||
\(34\) | −4.63977 | + | 2.98180i | −0.795713 | + | 0.511374i | ||||
\(35\) | 0.742330 | − | 4.05377i | 0.125477 | − | 0.685212i | ||||
\(36\) | −0.724731 | − | 0.836384i | −0.120788 | − | 0.139397i | ||||
\(37\) | −3.05924 | − | 10.4188i | −0.502937 | − | 1.71284i | −0.684097 | − | 0.729391i | \(-0.739804\pi\) |
0.181161 | − | 0.983454i | \(-0.442015\pi\) | |||||||
\(38\) | −0.0540574 | + | 0.375978i | −0.00876928 | + | 0.0609917i | ||||
\(39\) | −0.540562 | + | 0.623842i | −0.0865592 | + | 0.0998946i | ||||
\(40\) | −1.90000 | + | 4.16041i | −0.300416 | + | 0.657819i | ||||
\(41\) | 3.48835 | − | 11.8802i | 0.544788 | − | 1.85538i | 0.0274059 | − | 0.999624i | \(-0.491275\pi\) |
0.517382 | − | 0.855754i | \(-0.326906\pi\) | |||||||
\(42\) | 0.795898 | − | 2.37059i | 0.122810 | − | 0.365789i | ||||
\(43\) | −11.9776 | + | 1.72211i | −1.82656 | + | 0.262620i | −0.968155 | − | 0.250350i | \(-0.919454\pi\) |
−0.858406 | + | 0.512970i | \(0.828545\pi\) | |||||||
\(44\) | −0.633619 | + | 0.985930i | −0.0955216 | + | 0.148634i | ||||
\(45\) | 1.55766 | 0.232202 | ||||||||
\(46\) | 4.38360 | − | 1.15331i | 0.646326 | − | 0.170046i | ||||
\(47\) | 4.76463i | 0.694992i | 0.937681 | + | 0.347496i | \(0.112968\pi\) | ||||
−0.937681 | + | 0.347496i | \(0.887032\pi\) | |||||||
\(48\) | −0.303752 | + | 0.472647i | −0.0438428 | + | 0.0682208i | ||||
\(49\) | −6.84772 | + | 1.45217i | −0.978245 | + | 0.207452i | ||||
\(50\) | 1.01051 | + | 2.21271i | 0.142908 | + | 0.312924i | ||||
\(51\) | −1.64402 | + | 5.59901i | −0.230208 | + | 0.784018i | ||||
\(52\) | −0.830979 | − | 0.379495i | −0.115236 | − | 0.0526265i | ||||
\(53\) | −4.79415 | − | 4.15415i | −0.658527 | − | 0.570617i | 0.260179 | − | 0.965561i | \(-0.416219\pi\) |
−0.918705 | + | 0.394944i | \(0.870764\pi\) | |||||||
\(54\) | 0.935528 | + | 0.134509i | 0.127309 | + | 0.0183043i | ||||
\(55\) | −0.464730 | − | 1.58272i | −0.0626641 | − | 0.213414i | ||||
\(56\) | 7.76298 | + | 0.297582i | 1.03737 | + | 0.0397661i | ||||
\(57\) | 0.217277 | + | 0.338090i | 0.0287791 | + | 0.0447811i | ||||
\(58\) | 1.77997 | − | 1.14391i | 0.233721 | − | 0.150203i | ||||
\(59\) | 4.32793 | − | 3.75017i | 0.563448 | − | 0.488231i | −0.325936 | − | 0.945392i | \(-0.605679\pi\) |
0.889384 | + | 0.457161i | \(0.151134\pi\) | |||||||
\(60\) | 0.485665 | + | 1.65402i | 0.0626991 | + | 0.213534i | ||||
\(61\) | −1.11823 | + | 7.77749i | −0.143175 | + | 0.995805i | 0.783888 | + | 0.620902i | \(0.213233\pi\) |
−0.927064 | + | 0.374904i | \(0.877676\pi\) | |||||||
\(62\) | 4.41503 | + | 3.82565i | 0.560709 | + | 0.485857i | ||||
\(63\) | −1.00609 | − | 2.44699i | −0.126755 | − | 0.308292i | ||||
\(64\) | −5.92222 | − | 1.73892i | −0.740277 | − | 0.217365i | ||||
\(65\) | 1.16959 | − | 0.534135i | 0.145070 | − | 0.0662513i | ||||
\(66\) | −0.142443 | − | 0.990713i | −0.0175335 | − | 0.121948i | ||||
\(67\) | 0.784651 | − | 1.22094i | 0.0958603 | − | 0.149162i | −0.790011 | − | 0.613093i | \(-0.789925\pi\) |
0.885871 | + | 0.463931i | \(0.153562\pi\) | |||||||
\(68\) | −6.45799 | −0.783146 | ||||||||
\(69\) | 2.70608 | − | 3.95944i | 0.325774 | − | 0.476660i | ||||
\(70\) | −2.66165 | + | 2.84387i | −0.318128 | + | 0.339907i | ||||
\(71\) | 8.54463 | + | 5.49130i | 1.01406 | + | 0.651697i | 0.938441 | − | 0.345439i | \(-0.112270\pi\) |
0.0756198 | + | 0.997137i | \(0.475906\pi\) | |||||||
\(72\) | 0.417877 | + | 2.90640i | 0.0492473 | + | 0.342523i | ||||
\(73\) | 13.8221 | − | 6.31233i | 1.61775 | − | 0.738802i | 0.618842 | − | 0.785515i | \(-0.287602\pi\) |
0.998908 | + | 0.0467134i | \(0.0148748\pi\) | |||||||
\(74\) | −2.89144 | + | 9.84734i | −0.336123 | + | 1.14473i | ||||
\(75\) | 2.34112 | + | 1.06915i | 0.270329 | + | 0.123455i | ||||
\(76\) | −0.291261 | + | 0.336133i | −0.0334099 | + | 0.0385571i | ||||
\(77\) | −2.18620 | + | 1.75234i | −0.249141 | + | 0.199698i | ||||
\(78\) | 0.748580 | − | 0.219803i | 0.0847600 | − | 0.0248878i | ||||
\(79\) | 1.45453 | − | 1.26036i | 0.163647 | − | 0.141801i | −0.569188 | − | 0.822208i | \(-0.692742\pi\) |
0.732835 | + | 0.680406i | \(0.238197\pi\) | |||||||
\(80\) | 0.736223 | − | 0.473142i | 0.0823122 | − | 0.0528989i | ||||
\(81\) | 0.841254 | − | 0.540641i | 0.0934726 | − | 0.0600712i | ||||
\(82\) | −8.84424 | + | 7.66358i | −0.976683 | + | 0.846301i | ||||
\(83\) | 4.40875 | − | 1.29453i | 0.483923 | − | 0.142093i | −0.0306656 | − | 0.999530i | \(-0.509763\pi\) |
0.514589 | + | 0.857437i | \(0.327945\pi\) | |||||||
\(84\) | 2.28469 | − | 1.83129i | 0.249280 | − | 0.199810i | ||||
\(85\) | 5.95238 | − | 6.86941i | 0.645626 | − | 0.745092i | ||||
\(86\) | 10.4035 | + | 4.75110i | 1.12183 | + | 0.512324i | ||||
\(87\) | 0.630698 | − | 2.14796i | 0.0676180 | − | 0.230286i | ||||
\(88\) | 2.82849 | − | 1.29173i | 0.301519 | − | 0.137699i | ||||
\(89\) | 1.25773 | + | 8.74770i | 0.133319 | + | 0.927254i | 0.941186 | + | 0.337889i | \(0.109713\pi\) |
−0.807867 | + | 0.589365i | \(0.799378\pi\) | |||||||
\(90\) | −1.23851 | − | 0.795941i | −0.130550 | − | 0.0838996i | ||||
\(91\) | −1.59453 | − | 1.49237i | −0.167153 | − | 0.156443i | ||||
\(92\) | 5.04812 | + | 1.63897i | 0.526303 | + | 0.170875i | ||||
\(93\) | 6.18096 | 0.640936 | ||||||||
\(94\) | 2.43466 | − | 3.78840i | 0.251116 | − | 0.390744i | ||||
\(95\) | −0.0890897 | − | 0.619633i | −0.00914042 | − | 0.0635730i | ||||
\(96\) | −4.85885 | + | 2.21896i | −0.495904 | + | 0.226472i | ||||
\(97\) | 4.81079 | + | 1.41258i | 0.488462 | + | 0.143425i | 0.516684 | − | 0.856176i | \(-0.327166\pi\) |
−0.0282218 | + | 0.999602i | \(0.508984\pi\) | |||||||
\(98\) | 6.18672 | + | 2.34445i | 0.624953 | + | 0.236826i | ||||
\(99\) | −0.800330 | − | 0.693490i | −0.0804362 | − | 0.0696984i | ||||
\(100\) | −0.405356 | + | 2.81931i | −0.0405356 | + | 0.281931i | ||||
\(101\) | 3.57035 | + | 12.1595i | 0.355263 | + | 1.20991i | 0.922382 | + | 0.386278i | \(0.126240\pi\) |
−0.567119 | + | 0.823636i | \(0.691942\pi\) | |||||||
\(102\) | 4.16819 | − | 3.61175i | 0.412712 | − | 0.357617i | ||||
\(103\) | −1.10932 | + | 0.712920i | −0.109305 | + | 0.0702461i | −0.594151 | − | 0.804353i | \(-0.702512\pi\) |
0.484846 | + | 0.874599i | \(0.338876\pi\) | |||||||
\(104\) | 1.31040 | + | 2.03902i | 0.128495 | + | 0.199943i | ||||
\(105\) | −0.157863 | + | 4.11815i | −0.0154059 | + | 0.401890i | ||||
\(106\) | 1.68916 | + | 5.75274i | 0.164066 | + | 0.558756i | ||||
\(107\) | −13.3226 | − | 1.91551i | −1.28795 | − | 0.185179i | −0.535897 | − | 0.844283i | \(-0.680026\pi\) |
−0.752051 | + | 0.659104i | \(0.770935\pi\) | |||||||
\(108\) | 0.836384 | + | 0.724731i | 0.0804811 | + | 0.0697373i | ||||
\(109\) | 7.36542 | + | 3.36368i | 0.705480 | + | 0.322182i | 0.735649 | − | 0.677363i | \(-0.236877\pi\) |
−0.0301692 | + | 0.999545i | \(0.509605\pi\) | |||||||
\(110\) | −0.439238 | + | 1.49591i | −0.0418797 | + | 0.142629i | ||||
\(111\) | 4.51086 | + | 9.87740i | 0.428152 | + | 0.937522i | ||||
\(112\) | −1.21881 | − | 0.850964i | −0.115166 | − | 0.0804085i | ||||
\(113\) | 3.83446 | − | 5.96654i | 0.360716 | − | 0.561285i | −0.612704 | − | 0.790313i | \(-0.709918\pi\) |
0.973420 | + | 0.229027i | \(0.0735545\pi\) | |||||||
\(114\) | − | 0.379844i | − | 0.0355757i | ||||||
\(115\) | −6.39628 | + | 3.85907i | −0.596456 | + | 0.359860i | ||||
\(116\) | 2.47749 | 0.230030 | ||||||||
\(117\) | 0.446278 | − | 0.694422i | 0.0412584 | − | 0.0641993i | ||||
\(118\) | −5.35746 | + | 0.770286i | −0.493194 | + | 0.0709106i | ||||
\(119\) | −14.6361 | − | 4.91391i | −1.34169 | − | 0.450457i | ||||
\(120\) | 1.28857 | − | 4.38846i | 0.117630 | − | 0.400610i | ||||
\(121\) | 4.10370 | − | 8.98584i | 0.373063 | − | 0.816894i | ||||
\(122\) | 4.86330 | − | 5.61255i | 0.440303 | − | 0.508137i | ||||
\(123\) | −1.76211 | + | 12.2557i | −0.158884 | + | 1.10506i | ||||
\(124\) | 1.92717 | + | 6.56335i | 0.173065 | + | 0.589406i | ||||
\(125\) | −7.72555 | − | 8.91576i | −0.690994 | − | 0.797450i | ||||
\(126\) | −0.450428 | + | 2.45973i | −0.0401273 | + | 0.219130i | ||||
\(127\) | 15.1987 | − | 9.76761i | 1.34867 | − | 0.866735i | 0.351092 | − | 0.936341i | \(-0.385811\pi\) |
0.997575 | + | 0.0696058i | \(0.0221741\pi\) | |||||||
\(128\) | −3.17570 | − | 3.66496i | −0.280695 | − | 0.323939i | ||||
\(129\) | 11.6106 | − | 3.40917i | 1.02225 | − | 0.300161i | ||||
\(130\) | −1.20289 | − | 0.172949i | −0.105500 | − | 0.0151687i | ||||
\(131\) | 10.9999 | + | 9.53145i | 0.961064 | + | 0.832767i | 0.985970 | − | 0.166923i | \(-0.0533832\pi\) |
−0.0249060 | + | 0.999690i | \(0.507929\pi\) | |||||||
\(132\) | 0.486857 | − | 1.06607i | 0.0423754 | − | 0.0927893i | ||||
\(133\) | −0.915866 | + | 0.540175i | −0.0794156 | + | 0.0468392i | ||||
\(134\) | −1.24777 | + | 0.569836i | −0.107791 | + | 0.0492263i | ||||
\(135\) | −1.54180 | + | 0.221678i | −0.132697 | + | 0.0190790i | ||||
\(136\) | 14.4143 | + | 9.26353i | 1.23602 | + | 0.794341i | ||||
\(137\) | − | 13.6523i | − | 1.16639i | −0.812331 | − | 0.583196i | \(-0.801802\pi\) | ||
0.812331 | − | 0.583196i | \(-0.198198\pi\) | |||||||
\(138\) | −4.17484 | + | 1.76542i | −0.355386 | + | 0.150282i | ||||
\(139\) | − | 9.52668i | − | 0.808043i | −0.914750 | − | 0.404021i | \(-0.867612\pi\) | ||
0.914750 | − | 0.404021i | \(-0.132388\pi\) | |||||||
\(140\) | −4.42214 | + | 1.11638i | −0.373739 | + | 0.0943511i | ||||
\(141\) | −0.678077 | − | 4.71613i | −0.0571044 | − | 0.397170i | ||||
\(142\) | −3.98794 | − | 8.73237i | −0.334660 | − | 0.732804i | ||||
\(143\) | −0.838744 | − | 0.246277i | −0.0701393 | − | 0.0205948i | ||||
\(144\) | 0.233396 | − | 0.511065i | 0.0194496 | − | 0.0425887i | ||||
\(145\) | −2.28352 | + | 2.63533i | −0.189636 | + | 0.218852i | ||||
\(146\) | −14.2156 | − | 2.04389i | −1.17649 | − | 0.169153i | ||||
\(147\) | 6.57135 | − | 2.41192i | 0.541996 | − | 0.198932i | ||||
\(148\) | −9.08203 | + | 7.86962i | −0.746538 | + | 0.646879i | ||||
\(149\) | 9.93721 | + | 15.4626i | 0.814088 | + | 1.26675i | 0.960710 | + | 0.277554i | \(0.0895236\pi\) |
−0.146622 | + | 0.989193i | \(0.546840\pi\) | |||||||
\(150\) | −1.31512 | − | 2.04637i | −0.107379 | − | 0.167086i | ||||
\(151\) | −4.25045 | − | 4.90528i | −0.345897 | − | 0.399186i | 0.555969 | − | 0.831203i | \(-0.312347\pi\) |
−0.901865 | + | 0.432017i | \(0.857802\pi\) | |||||||
\(152\) | 1.13226 | − | 0.332461i | 0.0918383 | − | 0.0269662i | ||||
\(153\) | 0.830461 | − | 5.77599i | 0.0671388 | − | 0.466961i | ||||
\(154\) | 2.63369 | − | 0.276187i | 0.212229 | − | 0.0222558i | ||||
\(155\) | −8.75777 | − | 3.99954i | −0.703441 | − | 0.321251i | ||||
\(156\) | 0.876529 | + | 0.257372i | 0.0701785 | + | 0.0206063i | ||||
\(157\) | −4.71456 | − | 10.3235i | −0.376263 | − | 0.823901i | −0.999135 | − | 0.0415777i | \(-0.986762\pi\) |
0.622872 | − | 0.782324i | \(-0.285966\pi\) | |||||||
\(158\) | −1.80053 | + | 0.258878i | −0.143243 | + | 0.0205952i | ||||
\(159\) | 5.33655 | + | 3.42959i | 0.423216 | + | 0.271984i | ||||
\(160\) | 8.32032 | 0.657779 | ||||||||
\(161\) | 10.1937 | + | 7.55563i | 0.803380 | + | 0.595467i | ||||
\(162\) | −0.945148 | −0.0742579 | ||||||||
\(163\) | 9.93087 | + | 6.38218i | 0.777846 | + | 0.499891i | 0.868318 | − | 0.496008i | \(-0.165201\pi\) |
−0.0904723 | + | 0.995899i | \(0.528838\pi\) | |||||||
\(164\) | −13.5634 | + | 1.95012i | −1.05912 | + | 0.152279i | ||||
\(165\) | 0.685244 | + | 1.50048i | 0.0533462 | + | 0.116812i | ||||
\(166\) | −4.16692 | − | 1.22352i | −0.323416 | − | 0.0949635i | ||||
\(167\) | 1.56423 | + | 0.714359i | 0.121044 | + | 0.0552787i | 0.475016 | − | 0.879977i | \(-0.342442\pi\) |
−0.353973 | + | 0.935256i | \(0.615169\pi\) | |||||||
\(168\) | −7.72632 | + | 0.810235i | −0.596098 | + | 0.0625110i | ||||
\(169\) | −1.75312 | + | 12.1932i | −0.134856 | + | 0.937941i | ||||
\(170\) | −8.24296 | + | 2.42035i | −0.632206 | + | 0.185632i | ||||
\(171\) | −0.263181 | − | 0.303727i | −0.0201259 | − | 0.0232266i | ||||
\(172\) | 7.24016 | + | 11.2659i | 0.552057 | + | 0.859018i | ||||
\(173\) | −0.0274912 | − | 0.0427771i | −0.00209011 | − | 0.00325228i | 0.840207 | − | 0.542266i | \(-0.182433\pi\) |
−0.842297 | + | 0.539014i | \(0.818797\pi\) | |||||||
\(174\) | −1.59905 | + | 1.38559i | −0.121224 | + | 0.105041i | ||||
\(175\) | −3.06390 | + | 6.08112i | −0.231609 | + | 0.459690i | ||||
\(176\) | −0.588923 | − | 0.0846743i | −0.0443917 | − | 0.00638257i | ||||
\(177\) | −3.75017 | + | 4.32793i | −0.281880 | + | 0.325307i | ||||
\(178\) | 3.46992 | − | 7.59806i | 0.260081 | − | 0.569499i | ||||
\(179\) | −12.1769 | − | 3.57546i | −0.910144 | − | 0.267242i | −0.207042 | − | 0.978332i | \(-0.566384\pi\) |
−0.703101 | + | 0.711090i | \(0.748202\pi\) | |||||||
\(180\) | −0.716114 | − | 1.56807i | −0.0533760 | − | 0.116877i | ||||
\(181\) | 1.74477 | + | 12.1351i | 0.129688 | + | 0.901997i | 0.945949 | + | 0.324314i | \(0.105134\pi\) |
−0.816262 | + | 0.577682i | \(0.803957\pi\) | |||||||
\(182\) | 0.505251 | + | 2.00138i | 0.0374517 | + | 0.148352i | ||||
\(183\) | − | 7.85747i | − | 0.580841i | ||||||
\(184\) | −8.91651 | − | 10.8994i | −0.657334 | − | 0.803514i | ||||
\(185\) | − | 16.9141i | − | 1.24355i | ||||||
\(186\) | −4.91454 | − | 3.15838i | −0.360351 | − | 0.231584i | ||||
\(187\) | −6.11670 | + | 0.879449i | −0.447298 | + | 0.0643117i | ||||
\(188\) | 4.79648 | − | 2.19048i | 0.349819 | − | 0.159757i | ||||
\(189\) | 1.34409 | + | 2.27891i | 0.0977684 | + | 0.165766i | ||||
\(190\) | −0.245787 | + | 0.538199i | −0.0178313 | + | 0.0390451i | ||||
\(191\) | 6.41247 | + | 5.55644i | 0.463990 | + | 0.402050i | 0.855238 | − | 0.518236i | \(-0.173411\pi\) |
−0.391248 | + | 0.920285i | \(0.627956\pi\) | |||||||
\(192\) | 6.10941 | + | 0.878401i | 0.440909 | + | 0.0633931i | ||||
\(193\) | −5.66336 | + | 1.66291i | −0.407657 | + | 0.119699i | −0.479131 | − | 0.877744i | \(-0.659048\pi\) |
0.0714735 | + | 0.997442i | \(0.477230\pi\) | |||||||
\(194\) | −3.10330 | − | 3.58140i | −0.222804 | − | 0.257129i | ||||
\(195\) | −1.08167 | + | 0.695148i | −0.0774601 | + | 0.0497806i | ||||
\(196\) | 4.61003 | + | 6.22588i | 0.329288 | + | 0.444706i | ||||
\(197\) | −0.684320 | − | 0.789748i | −0.0487558 | − | 0.0562672i | 0.730848 | − | 0.682540i | \(-0.239125\pi\) |
−0.779604 | + | 0.626273i | \(0.784579\pi\) | |||||||
\(198\) | 0.281986 | + | 0.960357i | 0.0200399 | + | 0.0682496i | ||||
\(199\) | 3.13182 | − | 21.7823i | 0.222009 | − | 1.54410i | −0.508417 | − | 0.861111i | \(-0.669769\pi\) |
0.730426 | − | 0.682992i | \(-0.239322\pi\) | |||||||
\(200\) | 4.94886 | − | 5.71129i | 0.349938 | − | 0.403850i | ||||
\(201\) | −0.602906 | + | 1.32018i | −0.0425257 | + | 0.0931183i | ||||
\(202\) | 3.37451 | − | 11.4925i | 0.237430 | − | 0.808611i | ||||
\(203\) | 5.61488 | + | 1.88513i | 0.394087 | + | 0.132311i | ||||
\(204\) | 6.39225 | − | 0.919067i | 0.447547 | − | 0.0643476i | ||||
\(205\) | 10.4271 | − | 16.2249i | 0.728260 | − | 1.13320i | ||||
\(206\) | 1.24633 | 0.0868357 | ||||||||
\(207\) | −2.11505 | + | 4.30425i | −0.147006 | + | 0.299166i | ||||
\(208\) | − | 0.463774i | − | 0.0321570i | ||||||
\(209\) | −0.230094 | + | 0.358033i | −0.0159159 | + | 0.0247657i | ||||
\(210\) | 2.22983 | − | 3.19371i | 0.153873 | − | 0.220387i | ||||
\(211\) | 2.24439 | + | 4.91453i | 0.154510 | + | 0.338330i | 0.971019 | − | 0.239003i | \(-0.0768206\pi\) |
−0.816509 | + | 0.577333i | \(0.804093\pi\) | |||||||
\(212\) | −1.97787 | + | 6.73601i | −0.135841 | + | 0.462631i | ||||
\(213\) | −9.23915 | − | 4.21938i | −0.633056 | − | 0.289107i | ||||
\(214\) | 9.61416 | + | 8.33072i | 0.657210 | + | 0.569476i | ||||
\(215\) | −18.6570 | − | 2.68246i | −1.27239 | − | 0.182943i | ||||
\(216\) | −0.827248 | − | 2.81735i | −0.0562871 | − | 0.191696i | ||||
\(217\) | −0.626418 | + | 16.3413i | −0.0425240 | + | 1.10932i | ||||
\(218\) | −4.13753 | − | 6.43812i | −0.280229 | − | 0.436044i | ||||
\(219\) | −12.7830 | + | 8.21516i | −0.863798 | + | 0.555129i | ||||
\(220\) | −1.37965 | + | 1.19547i | −0.0930160 | + | 0.0805988i | ||||
\(221\) | −1.35707 | − | 4.62176i | −0.0912865 | − | 0.310893i | ||||
\(222\) | 1.46059 | − | 10.1586i | 0.0980281 | − | 0.681800i | ||||
\(223\) | −14.9294 | − | 12.9364i | −0.999749 | − | 0.866287i | −0.00872368 | − | 0.999962i | \(-0.502777\pi\) |
−0.991025 | + | 0.133675i | \(0.957322\pi\) | |||||||
\(224\) | −5.37409 | − | 13.0708i | −0.359071 | − | 0.873327i | ||||
\(225\) | −2.46945 | − | 0.725095i | −0.164630 | − | 0.0483397i | ||||
\(226\) | −6.09764 | + | 2.78470i | −0.405609 | + | 0.185235i | ||||
\(227\) | −0.701231 | − | 4.87717i | −0.0465423 | − | 0.323709i | −0.999770 | − | 0.0214552i | \(-0.993170\pi\) |
0.953227 | − | 0.302254i | \(-0.0977390\pi\) | |||||||
\(228\) | 0.240460 | − | 0.374162i | 0.0159248 | − | 0.0247795i | ||||
\(229\) | 20.9952 | 1.38740 | 0.693702 | − | 0.720262i | \(-0.255978\pi\) | ||||
0.693702 | + | 0.720262i | \(0.255978\pi\) | |||||||
\(230\) | 7.05767 | + | 0.200023i | 0.465369 | + | 0.0131892i | ||||
\(231\) | 1.91457 | − | 2.04564i | 0.125969 | − | 0.134593i | ||||
\(232\) | −5.52981 | − | 3.55379i | −0.363050 | − | 0.233318i | ||||
\(233\) | 1.19941 | + | 8.34209i | 0.0785760 | + | 0.546508i | 0.990644 | + | 0.136470i | \(0.0435756\pi\) |
−0.912068 | + | 0.410038i | \(0.865515\pi\) | |||||||
\(234\) | −0.709679 | + | 0.324100i | −0.0463932 | + | 0.0211871i | ||||
\(235\) | −2.09092 | + | 7.12103i | −0.136397 | + | 0.464525i | ||||
\(236\) | −5.76495 | − | 2.63277i | −0.375266 | − | 0.171378i | ||||
\(237\) | −1.26036 | + | 1.45453i | −0.0818690 | + | 0.0944818i | ||||
\(238\) | 9.12636 | + | 11.3859i | 0.591574 | + | 0.738040i | ||||
\(239\) | −1.78705 | + | 0.524725i | −0.115595 | + | 0.0339416i | −0.339018 | − | 0.940780i | \(-0.610095\pi\) |
0.223424 | + | 0.974721i | \(0.428277\pi\) | |||||||
\(240\) | −0.661394 | + | 0.573101i | −0.0426928 | + | 0.0369935i | ||||
\(241\) | −7.83054 | + | 5.03239i | −0.504410 | + | 0.324164i | −0.767978 | − | 0.640476i | \(-0.778737\pi\) |
0.263568 | + | 0.964641i | \(0.415101\pi\) | |||||||
\(242\) | −7.85452 | + | 5.04779i | −0.504908 | + | 0.324485i | ||||
\(243\) | −0.755750 | + | 0.654861i | −0.0484814 | + | 0.0420093i | ||||
\(244\) | 8.34358 | − | 2.44990i | 0.534143 | − | 0.156838i | ||||
\(245\) | −10.8716 | − | 0.834719i | −0.694562 | − | 0.0533283i | ||||
\(246\) | 7.66358 | − | 8.84424i | 0.488612 | − | 0.563888i | ||||
\(247\) | −0.301764 | − | 0.137811i | −0.0192008 | − | 0.00876871i | ||||
\(248\) | 5.11318 | − | 17.4139i | 0.324688 | − | 1.10578i | ||||
\(249\) | −4.17965 | + | 1.90878i | −0.264874 | + | 0.120964i | ||||
\(250\) | 1.58683 | + | 11.0366i | 0.100360 | + | 0.698019i | ||||
\(251\) | −3.83302 | − | 2.46333i | −0.241938 | − | 0.155484i | 0.414053 | − | 0.910253i | \(-0.364113\pi\) |
−0.655991 | + | 0.754769i | \(0.727749\pi\) | |||||||
\(252\) | −2.00082 | + | 2.13779i | −0.126040 | + | 0.134668i | ||||
\(253\) | 5.00454 | + | 0.864904i | 0.314633 | + | 0.0543760i | ||||
\(254\) | −17.0757 | −1.07143 | ||||||||
\(255\) | −4.91417 | + | 7.64660i | −0.307737 | + | 0.478849i | ||||
\(256\) | 2.40909 | + | 16.7556i | 0.150568 | + | 1.04723i | ||||
\(257\) | 3.46291 | − | 1.58146i | 0.216011 | − | 0.0986487i | −0.304471 | − | 0.952522i | \(-0.598480\pi\) |
0.520482 | + | 0.853873i | \(0.325752\pi\) | |||||||
\(258\) | −10.9737 | − | 3.22217i | −0.683193 | − | 0.200604i | ||||
\(259\) | −26.5711 | + | 10.9248i | −1.65105 | + | 0.678835i | ||||
\(260\) | −1.07541 | − | 0.931849i | −0.0666942 | − | 0.0577908i | ||||
\(261\) | −0.318592 | + | 2.21586i | −0.0197203 | + | 0.137158i | ||||
\(262\) | −3.87567 | − | 13.1993i | −0.239440 | − | 0.815457i | ||||
\(263\) | −6.17816 | + | 5.35341i | −0.380962 | + | 0.330105i | −0.824200 | − | 0.566299i | \(-0.808375\pi\) |
0.443238 | + | 0.896404i | \(0.353829\pi\) | |||||||
\(264\) | −2.61587 | + | 1.68112i | −0.160996 | + | 0.103466i | ||||
\(265\) | −5.34213 | − | 8.31251i | −0.328164 | − | 0.510634i | ||||
\(266\) | 1.00424 | + | 0.0384958i | 0.0615736 | + | 0.00236033i | ||||
\(267\) | −2.48986 | − | 8.47967i | −0.152377 | − | 0.518947i | ||||
\(268\) | −1.58984 | − | 0.228584i | −0.0971147 | − | 0.0139630i | ||||
\(269\) | 11.3787 | + | 9.85968i | 0.693770 | + | 0.601155i | 0.928689 | − | 0.370860i | \(-0.120937\pi\) |
−0.234919 | + | 0.972015i | \(0.575482\pi\) | |||||||
\(270\) | 1.33918 | + | 0.611581i | 0.0814997 | + | 0.0372197i | ||||
\(271\) | 7.95208 | − | 27.0823i | 0.483055 | − | 1.64513i | −0.252447 | − | 0.967611i | \(-0.581235\pi\) |
0.735502 | − | 0.677523i | \(-0.236946\pi\) | |||||||
\(272\) | −1.36195 | − | 2.98226i | −0.0825805 | − | 0.180826i | ||||
\(273\) | 1.79069 | + | 1.25025i | 0.108378 | + | 0.0756686i | ||||
\(274\) | −6.97612 | + | 10.8551i | −0.421443 | + | 0.655778i | ||||
\(275\) | 2.72552i | 0.164355i | ||||||||
\(276\) | −5.22999 | − | 0.903867i | −0.314809 | − | 0.0544064i | ||||
\(277\) | −15.4698 | −0.929493 | −0.464746 | − | 0.885444i | \(-0.653855\pi\) | ||||
−0.464746 | + | 0.885444i | \(0.653855\pi\) | |||||||
\(278\) | −4.86800 | + | 7.57475i | −0.291963 | + | 0.454303i | ||||
\(279\) | −6.11805 | + | 0.879642i | −0.366278 | + | 0.0526628i | ||||
\(280\) | 11.4717 | + | 3.85149i | 0.685563 | + | 0.230170i | ||||
\(281\) | −4.63731 | + | 15.7932i | −0.276639 | + | 0.942145i | 0.697574 | + | 0.716513i | \(0.254263\pi\) |
−0.974213 | + | 0.225632i | \(0.927555\pi\) | |||||||
\(282\) | −1.87073 | + | 4.09633i | −0.111400 | + | 0.243933i | ||||
\(283\) | 7.64541 | − | 8.82328i | 0.454473 | − | 0.524489i | −0.481555 | − | 0.876416i | \(-0.659928\pi\) |
0.936028 | + | 0.351926i | \(0.114473\pi\) | |||||||
\(284\) | 1.59972 | − | 11.1263i | 0.0949260 | − | 0.660225i | ||||
\(285\) | 0.176366 | + | 0.600647i | 0.0104470 | + | 0.0355793i | ||||
\(286\) | 0.541049 | + | 0.624404i | 0.0319929 | + | 0.0369218i | ||||
\(287\) | −32.2233 | − | 5.90076i | −1.90208 | − | 0.348311i | ||||
\(288\) | 4.49360 | − | 2.88786i | 0.264788 | − | 0.170169i | ||||
\(289\) | −11.1665 | − | 12.8868i | −0.656852 | − | 0.758047i | ||||
\(290\) | 3.16227 | − | 0.928525i | 0.185695 | − | 0.0545249i | ||||
\(291\) | −4.96286 | − | 0.713551i | −0.290928 | − | 0.0418291i | ||||
\(292\) | −12.7090 | − | 11.0125i | −0.743741 | − | 0.644455i | ||||
\(293\) | −5.61741 | + | 12.3004i | −0.328173 | + | 0.718598i | −0.999751 | − | 0.0223360i | \(-0.992890\pi\) |
0.671578 | + | 0.740934i | \(0.265617\pi\) | |||||||
\(294\) | −6.45740 | − | 1.44013i | −0.376603 | − | 0.0839900i | ||||
\(295\) | 8.11409 | − | 3.70558i | 0.472421 | − | 0.215747i | ||||
\(296\) | 31.5597 | − | 4.53759i | 1.83437 | − | 0.263742i | ||||
\(297\) | 0.890878 | + | 0.572532i | 0.0516940 | + | 0.0332217i | ||||
\(298\) | − | 17.3722i | − | 1.00635i | ||||||
\(299\) | −0.112152 | + | 3.95718i | −0.00648589 | + | 0.228850i | ||||
\(300\) | − | 2.84830i | − | 0.164447i | ||||||
\(301\) | 7.83651 | + | 31.0416i | 0.451689 | + | 1.78921i | ||||
\(302\) | 0.873043 | + | 6.07215i | 0.0502380 | + | 0.349413i | ||||
\(303\) | −5.26448 | − | 11.5276i | −0.302437 | − | 0.662244i | ||||
\(304\) | −0.216649 | − | 0.0636140i | −0.0124257 | − | 0.00364851i | ||||
\(305\) | −5.08437 | + | 11.1332i | −0.291130 | + | 0.637486i | ||||
\(306\) | −3.61175 | + | 4.16819i | −0.206470 | + | 0.238279i | ||||
\(307\) | −16.5839 | − | 2.38441i | −0.946493 | − | 0.136085i | −0.348252 | − | 0.937401i | \(-0.613225\pi\) |
−0.598242 | + | 0.801316i | \(0.704134\pi\) | |||||||
\(308\) | 2.76914 | + | 1.39520i | 0.157786 | + | 0.0794988i | ||||
\(309\) | 0.996574 | − | 0.863537i | 0.0566931 | − | 0.0491249i | ||||
\(310\) | 4.91968 | + | 7.65517i | 0.279419 | + | 0.434784i | ||||
\(311\) | 5.11122 | + | 7.95322i | 0.289831 | + | 0.450985i | 0.955385 | − | 0.295364i | \(-0.0954410\pi\) |
−0.665554 | + | 0.746350i | \(0.731805\pi\) | |||||||
\(312\) | −1.58724 | − | 1.83178i | −0.0898601 | − | 0.103704i | ||||
\(313\) | 15.5101 | − | 4.55417i | 0.876682 | − | 0.257417i | 0.187727 | − | 0.982221i | \(-0.439888\pi\) |
0.688955 | + | 0.724804i | \(0.258070\pi\) | |||||||
\(314\) | −1.52654 | + | 10.6174i | −0.0861479 | + | 0.599172i | ||||
\(315\) | −0.429818 | − | 4.09870i | −0.0242175 | − | 0.230936i | ||||
\(316\) | −1.93748 | − | 0.884819i | −0.108992 | − | 0.0497750i | ||||
\(317\) | 6.01183 | + | 1.76523i | 0.337658 | + | 0.0991453i | 0.446166 | − | 0.894950i | \(-0.352789\pi\) |
−0.108508 | + | 0.994096i | \(0.534607\pi\) | |||||||
\(318\) | −2.49067 | − | 5.45380i | −0.139670 | − | 0.305834i | ||||
\(319\) | 2.34657 | − | 0.337385i | 0.131382 | − | 0.0188899i | ||||
\(320\) | −8.08801 | − | 5.19785i | −0.452133 | − | 0.290568i | ||||
\(321\) | 13.4596 | 0.751244 | ||||||||
\(322\) | −4.24432 | − | 11.2164i | −0.236527 | − | 0.625066i | ||||
\(323\) | −2.34517 | −0.130489 | ||||||||
\(324\) | −0.931011 | − | 0.598324i | −0.0517228 | − | 0.0332402i | ||||
\(325\) | −2.10287 | + | 0.302346i | −0.116646 | + | 0.0167712i | ||||
\(326\) | −4.63492 | − | 10.1491i | −0.256705 | − | 0.562105i | ||||
\(327\) | −7.76916 | − | 2.28123i | −0.429635 | − | 0.126152i | ||||
\(328\) | 33.0710 | + | 15.1030i | 1.82604 | + | 0.833924i | ||||
\(329\) | 12.5373 | − | 1.31474i | 0.691202 | − | 0.0724842i | ||||
\(330\) | 0.221878 | − | 1.54319i | 0.0122140 | − | 0.0849499i | ||||
\(331\) | 15.7091 | − | 4.61261i | 0.863450 | − | 0.253532i | 0.180123 | − | 0.983644i | \(-0.442350\pi\) |
0.683327 | + | 0.730112i | \(0.260532\pi\) | |||||||
\(332\) | −3.33005 | − | 3.84308i | −0.182760 | − | 0.210917i | ||||
\(333\) | −5.87065 | − | 9.13490i | −0.321709 | − | 0.500590i | ||||
\(334\) | −0.878705 | − | 1.36729i | −0.0480806 | − | 0.0748149i | ||||
\(335\) | 1.70851 | − | 1.48043i | 0.0933459 | − | 0.0808847i | ||||
\(336\) | 1.32750 | + | 0.668848i | 0.0724213 | + | 0.0364886i | ||||
\(337\) | −16.1093 | − | 2.31616i | −0.877527 | − | 0.126169i | −0.311195 | − | 0.950346i | \(-0.600729\pi\) |
−0.566332 | + | 0.824177i | \(0.691638\pi\) | |||||||
\(338\) | 7.62449 | − | 8.79913i | 0.414718 | − | 0.478610i | ||||
\(339\) | −2.94631 | + | 6.45151i | −0.160021 | + | 0.350398i | ||||
\(340\) | −9.65186 | − | 2.83404i | −0.523446 | − | 0.153698i | ||||
\(341\) | 2.71913 | + | 5.95405i | 0.147249 | + | 0.322430i | ||||
\(342\) | 0.0540574 | + | 0.375978i | 0.00292309 | + | 0.0203306i | ||||
\(343\) | 5.71067 | + | 17.6178i | 0.308347 | + | 0.951274i | ||||
\(344\) | − | 35.5312i | − | 1.91572i | ||||||
\(345\) | 5.78197 | − | 4.73008i | 0.311291 | − | 0.254659i | ||||
\(346\) | 0.0480600i | 0.00258372i | ||||||||
\(347\) | 24.0503 | + | 15.4562i | 1.29109 | + | 0.829732i | 0.992212 | − | 0.124560i | \(-0.0397520\pi\) |
0.298876 | + | 0.954292i | \(0.403388\pi\) | |||||||
\(348\) | −2.45228 | + | 0.352584i | −0.131456 | + | 0.0189005i | ||||
\(349\) | 13.4413 | − | 6.13842i | 0.719495 | − | 0.328582i | −0.0217995 | − | 0.999762i | \(-0.506940\pi\) |
0.741294 | + | 0.671180i | \(0.234212\pi\) | |||||||
\(350\) | 5.54351 | − | 3.26955i | 0.296313 | − | 0.174765i | ||||
\(351\) | −0.342909 | + | 0.750866i | −0.0183031 | + | 0.0400782i | ||||
\(352\) | −4.27501 | − | 3.70431i | −0.227859 | − | 0.197441i | ||||
\(353\) | 0.367098 | + | 0.0527808i | 0.0195387 | + | 0.00280924i | 0.152077 | − | 0.988369i | \(-0.451404\pi\) |
−0.132539 | + | 0.991178i | \(0.542313\pi\) | |||||||
\(354\) | 5.19330 | − | 1.52489i | 0.276021 | − | 0.0810471i | ||||
\(355\) | 10.3607 | + | 11.9568i | 0.549887 | + | 0.634603i | ||||
\(356\) | 8.22795 | − | 5.28778i | 0.436081 | − | 0.280252i | ||||
\(357\) | 15.1864 | + | 2.78096i | 0.803752 | + | 0.147184i | ||||
\(358\) | 7.85495 | + | 9.06510i | 0.415147 | + | 0.479105i | ||||
\(359\) | −3.14912 | − | 10.7249i | −0.166204 | − | 0.566040i | −0.999904 | − | 0.0138224i | \(-0.995600\pi\) |
0.833700 | − | 0.552217i | \(-0.186218\pi\) | |||||||
\(360\) | −0.650910 | + | 4.52718i | −0.0343060 | + | 0.238603i | ||||
\(361\) | 12.3366 | − | 14.2372i | 0.649294 | − | 0.749325i | ||||
\(362\) | 4.81359 | − | 10.5403i | 0.252997 | − | 0.553986i | ||||
\(363\) | −2.78311 | + | 9.47839i | −0.146075 | + | 0.497487i | ||||
\(364\) | −0.769276 | + | 2.29129i | −0.0403210 | + | 0.120096i | ||||
\(365\) | 23.4281 | − | 3.36845i | 1.22628 | − | 0.176313i | ||||
\(366\) | −4.01505 | + | 6.24755i | −0.209870 | + | 0.326564i | ||||
\(367\) | 22.5722 | 1.17826 | 0.589129 | − | 0.808039i | \(-0.299471\pi\) | ||||
0.589129 | + | 0.808039i | \(0.299471\pi\) | |||||||
\(368\) | 0.307753 | + | 2.67684i | 0.0160427 | + | 0.139540i | ||||
\(369\) | − | 12.3818i | − | 0.644569i | ||||||
\(370\) | −8.64287 | + | 13.4486i | −0.449321 | + | 0.699158i | ||||
\(371\) | −9.60802 | + | 13.7612i | −0.498824 | + | 0.714448i | ||||
\(372\) | −2.84162 | − | 6.22228i | −0.147331 | − | 0.322610i | ||||
\(373\) | 4.36112 | − | 14.8526i | 0.225810 | − | 0.769039i | −0.766169 | − | 0.642639i | \(-0.777840\pi\) |
0.991979 | − | 0.126400i | \(-0.0403422\pi\) | |||||||
\(374\) | 5.31283 | + | 2.42629i | 0.274720 | + | 0.125460i | ||||
\(375\) | 8.91576 | + | 7.72555i | 0.460408 | + | 0.398946i | ||||
\(376\) | −13.8479 | − | 1.99103i | −0.714152 | − | 0.102680i | ||||
\(377\) | 0.520617 | + | 1.77306i | 0.0268131 | + | 0.0913171i | ||||
\(378\) | 0.0957873 | − | 2.49879i | 0.00492677 | − | 0.128524i | ||||
\(379\) | 17.5830 | + | 27.3597i | 0.903178 | + | 1.40537i | 0.914125 | + | 0.405432i | \(0.132879\pi\) |
−0.0109469 | + | 0.999940i | \(0.503485\pi\) | |||||||
\(380\) | −0.582817 | + | 0.374554i | −0.0298979 | + | 0.0192142i | ||||
\(381\) | −13.6539 | + | 11.8312i | −0.699512 | + | 0.606130i | ||||
\(382\) | −2.25936 | − | 7.69466i | −0.115599 | − | 0.393693i | ||||
\(383\) | 4.03447 | − | 28.0604i | 0.206152 | − | 1.43382i | −0.579410 | − | 0.815036i | \(-0.696717\pi\) |
0.785562 | − | 0.618783i | \(-0.212374\pi\) | |||||||
\(384\) | 3.66496 | + | 3.17570i | 0.187027 | + | 0.162059i | ||||
\(385\) | −4.03642 | + | 1.65959i | −0.205715 | + | 0.0845804i | ||||
\(386\) | 5.35271 | + | 1.57170i | 0.272446 | + | 0.0799973i | ||||
\(387\) | −11.0072 | + | 5.02683i | −0.559528 | + | 0.255528i | ||||
\(388\) | −0.789683 | − | 5.49237i | −0.0400901 | − | 0.278833i | ||||
\(389\) | 18.0526 | − | 28.0904i | 0.915304 | − | 1.42424i | 0.00977633 | − | 0.999952i | \(-0.496888\pi\) |
0.905527 | − | 0.424288i | \(-0.139476\pi\) | |||||||
\(390\) | 1.21526 | 0.0615370 | ||||||||
\(391\) | 10.8998 | + | 25.7757i | 0.551224 | + | 1.30353i | ||||
\(392\) | −1.35907 | − | 20.5090i | −0.0686435 | − | 1.03586i | ||||
\(393\) | −12.2444 | − | 7.86899i | −0.617647 | − | 0.396938i | ||||
\(394\) | 0.140560 | + | 0.977614i | 0.00708129 | + | 0.0492515i | ||||
\(395\) | 2.72698 | − | 1.24537i | 0.137209 | − | 0.0626614i | ||||
\(396\) | −0.330184 | + | 1.12450i | −0.0165924 | + | 0.0565084i | ||||
\(397\) | −8.58878 | − | 3.92236i | −0.431059 | − | 0.196858i | 0.188056 | − | 0.982158i | \(-0.439781\pi\) |
−0.619115 | + | 0.785300i | \(0.712509\pi\) | |||||||
\(398\) | −13.6206 | + | 15.7190i | −0.682737 | + | 0.787920i | ||||
\(399\) | 0.829669 | − | 0.665019i | 0.0415354 | − | 0.0332926i | ||||
\(400\) | −1.38743 | + | 0.407385i | −0.0693714 | + | 0.0203693i | ||||
\(401\) | −9.16429 | + | 7.94090i | −0.457643 | + | 0.396550i | −0.852944 | − | 0.522002i | \(-0.825185\pi\) |
0.395302 | + | 0.918551i | \(0.370640\pi\) | |||||||
\(402\) | 1.15397 | − | 0.741611i | 0.0575548 | − | 0.0369882i | ||||
\(403\) | −4.29219 | + | 2.75843i | −0.213809 | + | 0.137407i | ||||
\(404\) | 10.5993 | − | 9.18439i | 0.527337 | − | 0.456940i | ||||
\(405\) | 1.49456 | − | 0.438843i | 0.0742654 | − | 0.0218063i | ||||
\(406\) | −3.50117 | − | 4.36801i | −0.173760 | − | 0.216781i | ||||
\(407\) | −7.53038 | + | 8.69053i | −0.373267 | + | 0.430773i | ||||
\(408\) | −15.5860 | − | 7.11787i | −0.771620 | − | 0.352387i | ||||
\(409\) | −10.3051 | + | 35.0961i | −0.509557 | + | 1.73539i | 0.154772 | + | 0.987950i | \(0.450536\pi\) |
−0.664329 | + | 0.747440i | \(0.731283\pi\) | |||||||
\(410\) | −16.5814 | + | 7.57246i | −0.818896 | + | 0.373977i | ||||
\(411\) | 1.94292 | + | 13.5133i | 0.0958373 | + | 0.666563i | ||||
\(412\) | 1.22768 | + | 0.788985i | 0.0604837 | + | 0.0388705i | ||||
\(413\) | −11.0622 | − | 10.3534i | −0.544333 | − | 0.509455i | ||||
\(414\) | 3.88110 | − | 2.34159i | 0.190746 | − | 0.115083i | ||||
\(415\) | 7.15725 | 0.351335 | ||||||||
\(416\) | 2.38382 | − | 3.70929i | 0.116876 | − | 0.181863i | ||||
\(417\) | 1.35579 | + | 9.42971i | 0.0663932 | + | 0.461775i | ||||
\(418\) | 0.365900 | − | 0.167101i | 0.0178967 | − | 0.00817317i | ||||
\(419\) | 12.8407 | + | 3.77037i | 0.627308 | + | 0.184194i | 0.579909 | − | 0.814682i | \(-0.303088\pi\) |
0.0474000 | + | 0.998876i | \(0.484906\pi\) | |||||||
\(420\) | 4.21826 | − | 1.73435i | 0.205830 | − | 0.0846277i | ||||
\(421\) | −12.7382 | − | 11.0377i | −0.620821 | − | 0.537945i | 0.286662 | − | 0.958032i | \(-0.407454\pi\) |
−0.907484 | + | 0.420087i | \(0.862000\pi\) | |||||||
\(422\) | 0.726719 | − | 5.05444i | 0.0353761 | − | 0.246046i | ||||
\(423\) | 1.34235 | + | 4.57163i | 0.0652673 | + | 0.222280i | ||||
\(424\) | 14.0770 | − | 12.1978i | 0.683639 | − | 0.592377i | ||||
\(425\) | −12.6344 | + | 8.11963i | −0.612858 | + | 0.393860i | ||||
\(426\) | 5.19009 | + | 8.07594i | 0.251461 | + | 0.391281i | ||||
\(427\) | 20.7736 | + | 0.796326i | 1.00531 | + | 0.0385369i | ||||
\(428\) | 4.19661 | + | 14.2923i | 0.202851 | + | 0.690846i | ||||
\(429\) | 0.865256 | + | 0.124405i | 0.0417749 | + | 0.00600633i | ||||
\(430\) | 13.4636 | + | 11.6663i | 0.649273 | + | 0.562598i | ||||
\(431\) | 14.0725 | + | 6.42668i | 0.677847 | + | 0.309562i | 0.724426 | − | 0.689352i | \(-0.242105\pi\) |
−0.0465795 | + | 0.998915i | \(0.514832\pi\) | |||||||
\(432\) | −0.158288 | + | 0.539079i | −0.00761562 | + | 0.0259364i | ||||
\(433\) | −2.32761 | − | 5.09675i | −0.111858 | − | 0.244934i | 0.845421 | − | 0.534100i | \(-0.179349\pi\) |
−0.957279 | + | 0.289166i | \(0.906622\pi\) | |||||||
\(434\) | 8.84823 | − | 12.6730i | 0.424729 | − | 0.608324i | ||||
\(435\) | 1.88524 | − | 2.93348i | 0.0903901 | − | 0.140650i | ||||
\(436\) | − | 8.96107i | − | 0.429157i | ||||||
\(437\) | 1.83319 | + | 0.595181i | 0.0876934 | + | 0.0284714i | ||||
\(438\) | 14.3617 | 0.686231 | ||||||||
\(439\) | −9.11088 | + | 14.1768i | −0.434839 | + | 0.676622i | −0.987649 | − | 0.156685i | \(-0.949919\pi\) |
0.552810 | + | 0.833307i | \(0.313556\pi\) | |||||||
\(440\) | 4.79423 | − | 0.689306i | 0.228556 | − | 0.0328614i | ||||
\(441\) | −6.16121 | + | 3.32257i | −0.293391 | + | 0.158218i | ||||
\(442\) | −1.28263 | + | 4.36825i | −0.0610087 | + | 0.207776i | ||||
\(443\) | −7.40727 | + | 16.2197i | −0.351930 | + | 0.770619i | 0.648030 | + | 0.761615i | \(0.275593\pi\) |
−0.999959 | + | 0.00900374i | \(0.997134\pi\) | |||||||
\(444\) | 7.86962 | − | 9.08203i | 0.373476 | − | 0.431014i | ||||
\(445\) | −1.95911 | + | 13.6259i | −0.0928708 | + | 0.645931i | ||||
\(446\) | 5.26020 | + | 17.9146i | 0.249078 | + | 0.848281i | ||||
\(447\) | −12.0366 | − | 13.8910i | −0.569313 | − | 0.657022i | ||||
\(448\) | −2.94149 | + | 16.0631i | −0.138972 | + | 0.758910i | ||||
\(449\) | 0.197321 | − | 0.126811i | 0.00931216 | − | 0.00598456i | −0.535976 | − | 0.844233i | \(-0.680056\pi\) |
0.545289 | + | 0.838248i | \(0.316420\pi\) | |||||||
\(450\) | 1.59297 | + | 1.83838i | 0.0750932 | + | 0.0866622i | ||||
\(451\) | −12.5810 | + | 3.69412i | −0.592417 | + | 0.173949i | ||||
\(452\) | −7.76928 | − | 1.11705i | −0.365436 | − | 0.0525418i | ||||
\(453\) | 4.90528 | + | 4.25045i | 0.230470 | + | 0.199703i | ||||
\(454\) | −1.93461 | + | 4.23620i | −0.0907957 | + | 0.198815i | ||||
\(455\) | −1.72822 | − | 2.93019i | −0.0810200 | − | 0.137369i | ||||
\(456\) | −1.07342 | + | 0.490214i | −0.0502675 | + | 0.0229564i | ||||
\(457\) | 12.0197 | − | 1.72818i | 0.562260 | − | 0.0808408i | 0.144676 | − | 0.989479i | \(-0.453786\pi\) |
0.417584 | + | 0.908638i | \(0.362877\pi\) | |||||||
\(458\) | −16.6935 | − | 10.7283i | −0.780037 | − | 0.501299i | ||||
\(459\) | 5.83538i | 0.272372i | ||||||||
\(460\) | 6.82548 | + | 4.66488i | 0.318240 | + | 0.217501i | ||||
\(461\) | 38.0249i | 1.77100i | 0.464642 | + | 0.885499i | \(0.346183\pi\) | ||||
−0.464642 | + | 0.885499i | \(0.653817\pi\) | |||||||
\(462\) | −2.56758 | + | 0.648190i | −0.119455 | + | 0.0301565i | ||||
\(463\) | 3.10829 | + | 21.6186i | 0.144455 | + | 1.00470i | 0.925098 | + | 0.379727i | \(0.123982\pi\) |
−0.780644 | + | 0.624976i | \(0.785109\pi\) | |||||||
\(464\) | 0.522489 | + | 1.14409i | 0.0242559 | + | 0.0531131i | ||||
\(465\) | 9.23783 | + | 2.71247i | 0.428394 | + | 0.125788i | ||||
\(466\) | 3.30902 | − | 7.24575i | 0.153288 | − | 0.335653i | ||||
\(467\) | −1.81684 | + | 2.09675i | −0.0840733 | + | 0.0970258i | −0.796228 | − | 0.604997i | \(-0.793174\pi\) |
0.712154 | + | 0.702023i | \(0.247720\pi\) | |||||||
\(468\) | −0.904235 | − | 0.130009i | −0.0417983 | − | 0.00600968i | ||||
\(469\) | −3.42920 | − | 1.72776i | −0.158346 | − | 0.0797808i | ||||
\(470\) | 5.30126 | − | 4.59357i | 0.244529 | − | 0.211885i | ||||
\(471\) | 6.13576 | + | 9.54742i | 0.282721 | + | 0.439922i | ||||
\(472\) | 9.09095 | + | 14.1458i | 0.418445 | + | 0.651113i | ||||
\(473\) | 8.39174 | + | 9.68458i | 0.385852 | + | 0.445297i | ||||
\(474\) | 1.74536 | − | 0.512485i | 0.0801673 | − | 0.0235392i | ||||
\(475\) | −0.147202 | + | 1.02381i | −0.00675409 | + | 0.0469757i | ||||
\(476\) | 1.78201 | + | 16.9930i | 0.0816782 | + | 0.778875i | ||||
\(477\) | −5.77031 | − | 2.63521i | −0.264204 | − | 0.120658i | ||||
\(478\) | 1.68903 | + | 0.495943i | 0.0772542 | + | 0.0226839i | ||||
\(479\) | −15.6147 | − | 34.1915i | −0.713456 | − | 1.56225i | −0.822854 | − | 0.568253i | \(-0.807620\pi\) |
0.109398 | − | 0.993998i | \(-0.465108\pi\) | |||||||
\(480\) | −8.23563 | + | 1.18410i | −0.375903 | + | 0.0540467i | ||||
\(481\) | −7.54050 | − | 4.84599i | −0.343817 | − | 0.220958i | ||||
\(482\) | 8.79762 | 0.400720 | ||||||||
\(483\) | −11.1653 | − | 6.02801i | −0.508037 | − | 0.274284i | ||||
\(484\) | −10.9325 | −0.496933 | ||||||||
\(485\) | 6.57013 | + | 4.22236i | 0.298334 | + | 0.191728i | ||||
\(486\) | 0.935528 | − | 0.134509i | 0.0424364 | − | 0.00610143i | ||||
\(487\) | 7.65392 | + | 16.7598i | 0.346832 | + | 0.759457i | 0.999997 | + | 0.00224146i | \(0.000713479\pi\) |
−0.653165 | + | 0.757216i | \(0.726559\pi\) | |||||||
\(488\) | −22.1372 | − | 6.50007i | −1.00210 | − | 0.294244i | ||||
\(489\) | −10.7381 | − | 4.90391i | −0.485592 | − | 0.221763i | ||||
\(490\) | 8.21759 | + | 6.21893i | 0.371233 | + | 0.280943i | ||||
\(491\) | −2.53481 | + | 17.6300i | −0.114394 | + | 0.795631i | 0.849163 | + | 0.528130i | \(0.177107\pi\) |
−0.963558 | + | 0.267500i | \(0.913802\pi\) | |||||||
\(492\) | 13.1478 | − | 3.86054i | 0.592748 | − | 0.174046i | ||||
\(493\) | 8.55466 | + | 9.87261i | 0.385283 | + | 0.444640i | ||||
\(494\) | 0.169516 | + | 0.263772i | 0.00762688 | + | 0.0118677i | ||||
\(495\) | −0.891810 | − | 1.38768i | −0.0400839 | − | 0.0623717i | ||||
\(496\) | −2.62448 | + | 2.27413i | −0.117843 | + | 0.102111i | ||||
\(497\) | 12.0916 | − | 23.9989i | 0.542382 | − | 1.07650i | ||||
\(498\) | 4.29864 | + | 0.618051i | 0.192627 | + | 0.0276955i | ||||
\(499\) | 26.8542 | − | 30.9914i | 1.20216 | − | 1.38737i | 0.301145 | − | 0.953578i | \(-0.402631\pi\) |
0.901015 | − | 0.433788i | \(-0.142823\pi\) | |||||||
\(500\) | −5.42363 | + | 11.8761i | −0.242552 | + | 0.531115i | ||||
\(501\) | −1.64997 | − | 0.484475i | −0.0737152 | − | 0.0216447i | ||||
\(502\) | 1.78894 | + | 3.91724i | 0.0798444 | + | 0.174835i | ||||
\(503\) | 2.28783 | + | 15.9122i | 0.102009 | + | 0.709491i | 0.975073 | + | 0.221885i | \(0.0712208\pi\) |
−0.873063 | + | 0.487607i | \(0.837870\pi\) | |||||||
\(504\) | 7.53237 | − | 1.90156i | 0.335518 | − | 0.0847021i | ||||
\(505\) | 19.7399i | 0.878415i | ||||||||
\(506\) | −3.53720 | − | 3.24494i | −0.157248 | − | 0.144255i | ||||
\(507\) | − | 12.3186i | − | 0.547089i | ||||||
\(508\) | −16.8203 | − | 10.8098i | −0.746281 | − | 0.479606i | ||||
\(509\) | 23.1757 | − | 3.33217i | 1.02725 | − | 0.147696i | 0.391967 | − | 0.919979i | \(-0.371795\pi\) |
0.635278 | + | 0.772283i | \(0.280885\pi\) | |||||||
\(510\) | 7.81461 | − | 3.56881i | 0.346037 | − | 0.158030i | ||||
\(511\) | −20.4238 | − | 34.6285i | −0.903496 | − | 1.53187i | ||||
\(512\) | 2.61733 | − | 5.73115i | 0.115671 | − | 0.253283i | ||||
\(513\) | 0.303727 | + | 0.263181i | 0.0134099 | + | 0.0116197i | ||||
\(514\) | −3.56150 | − | 0.512066i | −0.157091 | − | 0.0225863i | ||||
\(515\) | −1.97081 | + | 0.578683i | −0.0868445 | + | 0.0254998i | ||||
\(516\) | −8.76978 | − | 10.1209i | −0.386068 | − | 0.445546i | ||||
\(517\) | 4.24470 | − | 2.72790i | 0.186682 | − | 0.119973i | ||||
\(518\) | 26.7094 | + | 4.89105i | 1.17354 | + | 0.214900i | ||||
\(519\) | 0.0332991 | + | 0.0384293i | 0.00146167 | + | 0.00168686i | ||||
\(520\) | 1.06366 | + | 3.62250i | 0.0466447 | + | 0.158857i | ||||
\(521\) | −0.844130 | + | 5.87105i | −0.0369820 | + | 0.257216i | −0.999922 | − | 0.0125007i | \(-0.996021\pi\) |
0.962940 | + | 0.269716i | \(0.0869299\pi\) | |||||||
\(522\) | 1.38559 | − | 1.59905i | 0.0606455 | − | 0.0699886i | ||||
\(523\) | 17.4852 | − | 38.2872i | 0.764573 | − | 1.67418i | 0.0263233 | − | 0.999653i | \(-0.491620\pi\) |
0.738250 | − | 0.674528i | \(-0.235653\pi\) | |||||||
\(524\) | 4.53811 | − | 15.4554i | 0.198248 | − | 0.675171i | ||||
\(525\) | 2.16728 | − | 6.45527i | 0.0945880 | − | 0.281731i | ||||
\(526\) | 7.64783 | − | 1.09959i | 0.333461 | − | 0.0479445i | ||||
\(527\) | −19.5000 | + | 30.3426i | −0.849432 | + | 1.32174i | ||||
\(528\) | 0.594979 | 0.0258931 | ||||||||
\(529\) | −1.97859 | − | 22.9147i | −0.0860258 | − | 0.996293i | ||||
\(530\) | 9.33911i | 0.405665i | ||||||||
\(531\) | 3.09607 | − | 4.81758i | 0.134358 | − | 0.209065i | ||||
\(532\) | 0.964844 | + | 0.673649i | 0.0418313 | + | 0.0292064i | ||||
\(533\) | −4.24582 | − | 9.29704i | −0.183907 | − | 0.402700i | ||||
\(534\) | −2.35328 | + | 8.01454i | −0.101836 | + | 0.346823i | ||||
\(535\) | −19.0709 | − | 8.70939i | −0.824507 | − | 0.376540i | ||||
\(536\) | 3.22065 | + | 2.79071i | 0.139111 | + | 0.120540i | ||||
\(537\) | 12.5618 | + | 1.80611i | 0.542081 | + | 0.0779395i | ||||
\(538\) | −4.00914 | − | 13.6539i | −0.172846 | − | 0.588660i | ||||
\(539\) | 5.21424 | + | 5.26906i | 0.224593 | + | 0.226955i | ||||
\(540\) | 0.931985 | + | 1.45020i | 0.0401062 | + | 0.0624065i | ||||
\(541\) | 10.3918 | − | 6.67843i | 0.446780 | − | 0.287128i | −0.297841 | − | 0.954615i | \(-0.596267\pi\) |
0.744621 | + | 0.667487i | \(0.232630\pi\) | |||||||
\(542\) | −20.1615 | + | 17.4700i | −0.866009 | + | 0.750401i | ||||
\(543\) | −3.45402 | − | 11.7633i | −0.148226 | − | 0.504812i | ||||
\(544\) | 4.43596 | − | 30.8527i | 0.190190 | − | 1.32280i | ||||
\(545\) | 9.53196 | + | 8.25949i | 0.408304 | + | 0.353798i | ||||
\(546\) | −0.784934 | − | 1.90910i | −0.0335921 | − | 0.0817021i | ||||
\(547\) | −29.7768 | − | 8.74325i | −1.27316 | − | 0.373834i | −0.425785 | − | 0.904824i | \(-0.640002\pi\) |
−0.847378 | + | 0.530990i | \(0.821820\pi\) | |||||||
\(548\) | −13.7435 | + | 6.27647i | −0.587095 | + | 0.268117i | ||||
\(549\) | 1.11823 | + | 7.77749i | 0.0477251 | + | 0.331935i | ||||
\(550\) | 1.39270 | − | 2.16709i | 0.0593850 | − | 0.0924049i | ||||
\(551\) | 0.899684 | 0.0383278 | ||||||||
\(552\) | 10.3769 | + | 9.51951i | 0.441670 | + | 0.405177i | ||||
\(553\) | −3.71777 | − | 3.47955i | −0.158095 | − | 0.147966i | ||||
\(554\) | 12.3002 | + | 7.90487i | 0.522586 | + | 0.335846i | ||||
\(555\) | 2.40713 | + | 16.7419i | 0.102177 | + | 0.710656i | ||||
\(556\) | −9.59037 | + | 4.37977i | −0.406722 | + | 0.185744i | ||||
\(557\) | 1.32302 | − | 4.50578i | 0.0560580 | − | 0.190916i | −0.926704 | − | 0.375793i | \(-0.877370\pi\) |
0.982762 | + | 0.184877i | \(0.0591886\pi\) | |||||||
\(558\) | 5.31400 | + | 2.42682i | 0.224960 | + | 0.102736i | ||||
\(559\) | −6.54120 | + | 7.54894i | −0.276663 | + | 0.319286i | ||||
\(560\) | −1.44814 | − | 1.80668i | −0.0611951 | − | 0.0763462i | ||||
\(561\) | 5.92928 | − | 1.74099i | 0.250335 | − | 0.0735049i | ||||
\(562\) | 11.7573 | − | 10.1877i | 0.495951 | − | 0.429744i | ||||
\(563\) | −16.8589 | + | 10.8345i | −0.710517 | + | 0.456621i | −0.845326 | − | 0.534250i | \(-0.820594\pi\) |
0.134810 | + | 0.990872i | \(0.456958\pi\) | |||||||
\(564\) | −4.43592 | + | 2.85079i | −0.186786 | + | 0.120040i | ||||
\(565\) | 8.34922 | − | 7.23464i | 0.351254 | − | 0.304364i | ||||
\(566\) | −10.5875 | + | 3.10877i | −0.445026 | + | 0.130671i | ||||
\(567\) | −1.65473 | − | 2.06443i | −0.0694923 | − | 0.0866977i | ||||
\(568\) | −19.5305 | + | 22.5394i | −0.819482 | + | 0.945733i | ||||
\(569\) | −32.2668 | − | 14.7357i | −1.35269 | − | 0.617755i | −0.398562 | − | 0.917141i | \(-0.630491\pi\) |
−0.954132 | + | 0.299387i | \(0.903218\pi\) | |||||||
\(570\) | 0.166692 | − | 0.567700i | 0.00698196 | − | 0.0237784i | ||||
\(571\) | 7.45264 | − | 3.40351i | 0.311883 | − | 0.142432i | −0.253323 | − | 0.967382i | \(-0.581524\pi\) |
0.565207 | + | 0.824949i | \(0.308796\pi\) | |||||||
\(572\) | 0.137678 | + | 0.957574i | 0.00575662 | + | 0.0400382i | ||||
\(573\) | −7.13797 | − | 4.58729i | −0.298193 | − | 0.191637i | ||||
\(574\) | 22.6058 | + | 21.1574i | 0.943548 | + | 0.883092i | ||||
\(575\) | 11.9368 | − | 3.14053i | 0.497800 | − | 0.130969i | ||||
\(576\) | −6.17224 | −0.257176 | ||||||||
\(577\) | −12.1400 | + | 18.8901i | −0.505393 | + | 0.786407i | −0.996402 | − | 0.0847473i | \(-0.972992\pi\) |
0.491009 | + | 0.871154i | \(0.336628\pi\) | |||||||
\(578\) | 2.29360 | + | 15.9523i | 0.0954011 | + | 0.663529i | ||||
\(579\) | 5.36905 | − | 2.45196i | 0.223130 | − | 0.101900i | ||||
\(580\) | 3.70277 | + | 1.08723i | 0.153749 | + | 0.0451448i | ||||
\(581\) | −4.62286 | − | 11.2436i | −0.191789 | − | 0.466465i | ||||
\(582\) | 3.58140 | + | 3.10330i | 0.148454 | + | 0.128636i | ||||
\(583\) | −0.956037 | + | 6.64938i | −0.0395950 | + | 0.275389i | ||||
\(584\) | 12.5702 | + | 42.8102i | 0.520159 | + | 1.77150i | ||||
\(585\) | 0.971732 | − | 0.842011i | 0.0401762 | − | 0.0348129i | ||||
\(586\) | 10.7518 | − | 6.90976i | 0.444153 | − | 0.285440i | ||||
\(587\) | 4.18832 | + | 6.51716i | 0.172871 | + | 0.268992i | 0.916868 | − | 0.399191i | \(-0.130709\pi\) |
−0.743997 | + | 0.668183i | \(0.767072\pi\) | |||||||
\(588\) | −5.44914 | − | 5.50643i | −0.224719 | − | 0.227081i | ||||
\(589\) | 0.699839 | + | 2.38343i | 0.0288364 | + | 0.0982077i | ||||
\(590\) | −8.34509 | − | 1.19984i | −0.343562 | − | 0.0493967i | ||||
\(591\) | 0.789748 | + | 0.684320i | 0.0324859 | + | 0.0281492i | ||||
\(592\) | −5.54949 | − | 2.53437i | −0.228083 | − | 0.104162i | ||||
\(593\) | 10.0833 | − | 34.3406i | 0.414072 | − | 1.41020i | −0.443702 | − | 0.896174i | \(-0.646335\pi\) |
0.857774 | − | 0.514026i | \(-0.171847\pi\) | |||||||
\(594\) | −0.415789 | − | 0.910452i | −0.0170600 | − | 0.0373563i | ||||
\(595\) | −19.7181 | − | 13.7671i | −0.808364 | − | 0.564396i | ||||
\(596\) | 10.9975 | − | 17.1124i | 0.450474 | − | 0.700951i | ||||
\(597\) | 22.0063i | 0.900656i | ||||||||
\(598\) | 2.11124 | − | 3.08908i | 0.0863349 | − | 0.126322i | ||||
\(599\) | −13.8023 | −0.563948 | −0.281974 | − | 0.959422i | \(-0.590989\pi\) | ||||
−0.281974 | + | 0.959422i | \(0.590989\pi\) | |||||||
\(600\) | −4.08569 | + | 6.35746i | −0.166798 | + | 0.259542i | ||||
\(601\) | −20.2026 | + | 2.90469i | −0.824079 | + | 0.118485i | −0.541438 | − | 0.840741i | \(-0.682120\pi\) |
−0.282642 | + | 0.959226i | \(0.591211\pi\) | |||||||
\(602\) | 9.63095 | − | 28.6858i | 0.392528 | − | 1.16915i | ||||
\(603\) | 0.408888 | − | 1.39255i | 0.0166512 | − | 0.0567088i | ||||
\(604\) | −2.98398 | + | 6.53400i | −0.121416 | + | 0.265865i | ||||
\(605\) | 10.0766 | − | 11.6290i | 0.409672 | − | 0.472787i | ||||
\(606\) | −1.70460 | + | 11.8558i | −0.0692448 | + | 0.481608i | ||||
\(607\) | 2.30162 | + | 7.83861i | 0.0934200 | + | 0.318159i | 0.992924 | − | 0.118754i | \(-0.0378899\pi\) |
−0.899504 | + | 0.436913i | \(0.856072\pi\) | |||||||
\(608\) | −1.40580 | − | 1.62237i | −0.0570125 | − | 0.0657960i | ||||
\(609\) | −5.82601 | − | 1.06687i | −0.236082 | − | 0.0432316i | ||||
\(610\) | 9.73154 | − | 6.25408i | 0.394019 | − | 0.253220i | ||||
\(611\) | 2.57558 | + | 2.97237i | 0.104197 | + | 0.120249i | ||||
\(612\) | −6.19639 | + | 1.81943i | −0.250474 | + | 0.0735459i | ||||
\(613\) | 8.07931 | + | 1.16163i | 0.326320 | + | 0.0469178i | 0.303528 | − | 0.952822i | \(-0.401835\pi\) |
0.0227921 | + | 0.999740i | \(0.492744\pi\) | |||||||
\(614\) | 11.9676 | + | 10.3700i | 0.482974 | + | 0.418499i | ||||
\(615\) | −8.01193 | + | 17.5437i | −0.323072 | + | 0.707429i | ||||
\(616\) | −4.17945 | − | 7.08624i | −0.168395 | − | 0.285513i | ||||
\(617\) | 6.69526 | − | 3.05762i | 0.269541 | − | 0.123095i | −0.276060 | − | 0.961140i | \(-0.589029\pi\) |
0.545601 | + | 0.838045i | \(0.316302\pi\) | |||||||
\(618\) | −1.23364 | + | 0.177371i | −0.0496243 | + | 0.00713490i | ||||
\(619\) | −9.08408 | − | 5.83799i | −0.365120 | − | 0.234648i | 0.345197 | − | 0.938530i | \(-0.387812\pi\) |
−0.710317 | + | 0.703882i | \(0.751448\pi\) | |||||||
\(620\) | 10.6551i | 0.427917i | ||||||||
\(621\) | 1.48096 | − | 4.56144i | 0.0594289 | − | 0.183044i | ||||
\(622\) | − | 8.93544i | − | 0.358278i | ||||||
\(623\) | 22.6710 | − | 5.72332i | 0.908293 | − | 0.229300i | ||||
\(624\) | 0.0660020 | + | 0.459054i | 0.00264219 | + | 0.0183769i | ||||
\(625\) | −2.28792 | − | 5.00985i | −0.0915168 | − | 0.200394i | ||||
\(626\) | −14.6593 | − | 4.30437i | −0.585905 | − | 0.172037i | ||||
\(627\) | 0.176799 | − | 0.387135i | 0.00706065 | − | 0.0154607i | ||||
\(628\) | −8.22501 | + | 9.49216i | −0.328213 | + | 0.378778i | ||||
\(629\) | −62.7196 | − | 9.01771i | −2.50079 | − | 0.359560i | ||||
\(630\) | −1.75263 | + | 3.47855i | −0.0698263 | + | 0.138589i | ||||
\(631\) | −5.78062 | + | 5.00893i | −0.230123 | + | 0.199403i | −0.762288 | − | 0.647238i | \(-0.775924\pi\) |
0.532165 | + | 0.846641i | \(0.321379\pi\) | |||||||
\(632\) | 3.05529 | + | 4.75412i | 0.121533 | + | 0.189109i | ||||
\(633\) | −2.92096 | − | 4.54510i | −0.116098 | − | 0.180651i | ||||
\(634\) | −3.87805 | − | 4.47551i | −0.154017 | − | 0.177745i | ||||
\(635\) | 27.0018 | − | 7.92846i | 1.07154 | − | 0.314631i | ||||
\(636\) | 0.999106 | − | 6.94893i | 0.0396171 | − | 0.275543i | ||||
\(637\) | −3.48690 | + | 4.60754i | −0.138156 | + | 0.182557i | ||||
\(638\) | −2.03818 | − | 0.930803i | −0.0806921 | − | 0.0368509i | ||||
\(639\) | 9.74559 | + | 2.86156i | 0.385530 | + | 0.113202i | ||||
\(640\) | −3.13794 | − | 6.87114i | −0.124038 | − | 0.271606i | ||||
\(641\) | −7.65897 | + | 1.10119i | −0.302511 | + | 0.0434946i | −0.291899 | − | 0.956449i | \(-0.594287\pi\) |
−0.0106122 | + | 0.999944i | \(0.503378\pi\) | |||||||
\(642\) | −10.7019 | − | 6.87768i | −0.422370 | − | 0.271441i | ||||
\(643\) | −20.4973 | −0.808336 | −0.404168 | − | 0.914685i | \(-0.632439\pi\) | ||||
−0.404168 | + | 0.914685i | \(0.632439\pi\) | |||||||
\(644\) | 2.91969 | − | 13.7355i | 0.115052 | − | 0.541254i | ||||
\(645\) | 18.8488 | 0.742171 | ||||||||
\(646\) | 1.86467 | + | 1.19835i | 0.0733644 | + | 0.0471484i | ||||
\(647\) | −10.9825 | + | 1.57904i | −0.431765 | + | 0.0620784i | −0.354771 | − | 0.934953i | \(-0.615441\pi\) |
−0.0769937 | + | 0.997032i | \(0.524532\pi\) | |||||||
\(648\) | 1.21978 | + | 2.67094i | 0.0479174 | + | 0.104924i | ||||
\(649\) | −5.81882 | − | 1.70856i | −0.228409 | − | 0.0670669i | ||||
\(650\) | 1.82650 | + | 0.834136i | 0.0716413 | + | 0.0327175i | ||||
\(651\) | −1.70556 | − | 16.2641i | −0.0668463 | − | 0.637440i | ||||
\(652\) | 1.85925 | − | 12.9314i | 0.0728140 | − | 0.506432i | ||||
\(653\) | −3.94998 | + | 1.15982i | −0.154575 | + | 0.0453873i | −0.358104 | − | 0.933682i | \(-0.616577\pi\) |
0.203530 | + | 0.979069i | \(0.434759\pi\) | |||||||
\(654\) | 5.01165 | + | 5.78376i | 0.195971 | + | 0.226163i | ||||
\(655\) | 12.2572 | + | 19.0726i | 0.478928 | + | 0.745227i | ||||
\(656\) | −3.76099 | − | 5.85221i | −0.146842 | − | 0.228490i | ||||
\(657\) | 11.4838 | − | 9.95076i | 0.448025 | − | 0.388216i | ||||
\(658\) | −10.6403 | − | 5.36100i | −0.414803 | − | 0.208994i | ||||
\(659\) | −43.3481 | − | 6.23251i | −1.68860 | − | 0.242784i | −0.770021 | − | 0.638019i | \(-0.779754\pi\) |
−0.918580 | + | 0.395235i | \(0.870663\pi\) | |||||||
\(660\) | 1.19547 | − | 1.37965i | 0.0465338 | − | 0.0537028i | ||||
\(661\) | −5.83023 | + | 12.7664i | −0.226770 | + | 0.496556i | −0.988478 | − | 0.151364i | \(-0.951634\pi\) |
0.761709 | + | 0.647920i | \(0.224361\pi\) | |||||||
\(662\) | −14.8474 | − | 4.35960i | −0.577062 | − | 0.169441i | ||||
\(663\) | 2.00100 | + | 4.38159i | 0.0777126 | + | 0.170167i | ||||
\(664\) | 1.92009 | + | 13.3546i | 0.0745141 | + | 0.518257i | ||||
\(665\) | −1.60587 | + | 0.405404i | −0.0622730 | + | 0.0157209i | ||||
\(666\) | 10.2631i | 0.397686i | ||||||||
\(667\) | −4.18150 | − | 9.88838i | −0.161908 | − | 0.382879i | ||||
\(668\) | − | 1.90310i | − | 0.0736332i | ||||||
\(669\) | 16.6185 | + | 10.6801i | 0.642509 | + | 0.412916i | ||||
\(670\) | −2.11493 | + | 0.304081i | −0.0817070 | + | 0.0117477i | ||||
\(671\) | 7.56902 | − | 3.45665i | 0.292199 | − | 0.133443i | ||||
\(672\) | 7.17955 | + | 12.1729i | 0.276957 | + | 0.469580i | ||||
\(673\) | 14.1249 | − | 30.9292i | 0.544475 | − | 1.19223i | −0.414839 | − | 0.909895i | \(-0.636162\pi\) |
0.959314 | − | 0.282340i | \(-0.0911106\pi\) | |||||||
\(674\) | 11.6251 | + | 10.0732i | 0.447782 | + | 0.388005i | ||||
\(675\) | 2.54750 | + | 0.366276i | 0.0980535 | + | 0.0140980i | ||||
\(676\) | 13.0807 | − | 3.84084i | 0.503104 | − | 0.147725i | ||||
\(677\) | 21.4608 | + | 24.7670i | 0.824804 | + | 0.951875i | 0.999463 | − | 0.0327540i | \(-0.0104278\pi\) |
−0.174659 | + | 0.984629i | \(0.555882\pi\) | |||||||
\(678\) | 5.63927 | − | 3.62414i | 0.216575 | − | 0.139184i | ||||
\(679\) | 2.38946 | − | 13.0485i | 0.0916991 | − | 0.500757i | ||||
\(680\) | 17.4779 | + | 20.1706i | 0.670246 | + | 0.773506i | ||||
\(681\) | 1.38819 | + | 4.72773i | 0.0531954 | + | 0.181167i | ||||
\(682\) | 0.880435 | − | 6.12356i | 0.0337136 | − | 0.234483i | ||||
\(683\) | 14.5853 | − | 16.8324i | 0.558092 | − | 0.644072i | −0.404658 | − | 0.914468i | \(-0.632609\pi\) |
0.962749 | + | 0.270396i | \(0.0871547\pi\) | |||||||
\(684\) | −0.184763 | + | 0.404575i | −0.00706460 | + | 0.0154693i | ||||
\(685\) | 5.99121 | − | 20.4042i | 0.228912 | − | 0.779603i | ||||
\(686\) | 4.46186 | − | 16.9262i | 0.170355 | − | 0.646244i | ||||
\(687\) | −20.7815 | + | 2.98793i | −0.792865 | + | 0.113997i | ||||
\(688\) | −3.67562 | + | 5.71938i | −0.140132 | + | 0.218049i | ||||
\(689\) | −5.23636 | −0.199490 | ||||||||
\(690\) | −7.01430 | + | 0.806424i | −0.267030 | + | 0.0307000i | ||||
\(691\) | 5.63236i | 0.214265i | 0.994245 | + | 0.107132i | \(0.0341669\pi\) | ||||
−0.994245 | + | 0.107132i | \(0.965833\pi\) | |||||||
\(692\) | −0.0304243 | + | 0.0473412i | −0.00115656 | + | 0.00179964i | ||||
\(693\) | −1.60395 | + | 2.29729i | −0.0609292 | + | 0.0872667i | ||||
\(694\) | −11.2247 | − | 24.5787i | −0.426085 | − | 0.932996i | ||||
\(695\) | 4.18072 | − | 14.2382i | 0.158584 | − | 0.540086i | ||||
\(696\) | 5.97928 | + | 2.73065i | 0.226644 | + | 0.103505i | ||||
\(697\) | −54.6047 | − | 47.3152i | −2.06830 | − | 1.79219i | ||||
\(698\) | −13.8239 | − | 1.98758i | −0.523243 | − | 0.0752310i | ||||
\(699\) | −2.37441 | − | 8.08648i | −0.0898083 | − | 0.305859i | ||||
\(700\) | 7.53037 | + | 0.288665i | 0.284621 | + | 0.0109105i | ||||
\(701\) | −5.36738 | − | 8.35180i | −0.202723 | − | 0.315443i | 0.724975 | − | 0.688776i | \(-0.241851\pi\) |
−0.927698 | + | 0.373332i | \(0.878215\pi\) | |||||||
\(702\) | 0.656332 | − | 0.421799i | 0.0247716 | − | 0.0159198i | ||||
\(703\) | −3.29807 | + | 2.85780i | −0.124389 | + | 0.107784i | ||||
\(704\) | 1.84150 | + | 6.27156i | 0.0694040 | + | 0.236368i | ||||
\(705\) | 1.05621 | − | 7.34612i | 0.0397793 | − | 0.276671i | ||||
\(706\) | −0.264913 | − | 0.229548i | −0.00997013 | − | 0.00863917i | ||||
\(707\) | 31.0103 | − | 12.7500i | 1.16626 | − | 0.479513i | ||||
\(708\) | 6.08095 | + | 1.78553i | 0.228536 | + | 0.0671043i | ||||
\(709\) | −23.8029 | + | 10.8704i | −0.893938 | + | 0.408248i | −0.808774 | − | 0.588119i | \(-0.799869\pi\) |
−0.0851639 | + | 0.996367i | \(0.527141\pi\) | |||||||
\(710\) | −2.12808 | − | 14.8011i | −0.0798655 | − | 0.555477i | ||||
\(711\) | 1.04053 | − | 1.61909i | 0.0390228 | − | 0.0607207i | ||||
\(712\) | −25.9499 | −0.972513 | ||||||||
\(713\) | 22.9435 | − | 18.7695i | 0.859241 | − | 0.702922i | ||||
\(714\) | −10.6539 | − | 9.97122i | −0.398710 | − | 0.373164i | ||||
\(715\) | −1.14548 | − | 0.736154i | −0.0428384 | − | 0.0275306i | ||||
\(716\) | 1.99882 | + | 13.9021i | 0.0746993 | + | 0.519545i | ||||
\(717\) | 1.69418 | − | 0.773707i | 0.0632704 | − | 0.0288946i | ||||
\(718\) | −2.97639 | + | 10.1366i | −0.111078 | + | 0.378296i | ||||
\(719\) | 13.1777 | + | 6.01803i | 0.491443 | + | 0.224435i | 0.645693 | − | 0.763597i | \(-0.276569\pi\) |
−0.154249 | + | 0.988032i | \(0.549296\pi\) | |||||||
\(720\) | 0.573101 | − | 0.661394i | 0.0213582 | − | 0.0246487i | ||||
\(721\) | 2.18203 | + | 2.72227i | 0.0812629 | + | 0.101383i | ||||
\(722\) | −17.0839 | + | 5.01629i | −0.635798 | + | 0.186687i | ||||
\(723\) | 7.03466 | − | 6.09557i | 0.261622 | − | 0.226697i | ||||
\(724\) | 11.4141 | − | 7.33540i | 0.424202 | − | 0.272618i | ||||
\(725\) | 4.84696 | − | 3.11495i | 0.180012 | − | 0.115686i | ||||
\(726\) | 7.05620 | − | 6.11423i | 0.261880 | − | 0.226920i | ||||
\(727\) | 14.2623 | − | 4.18779i | 0.528960 | − | 0.155317i | −0.00633825 | − | 0.999980i | \(-0.502018\pi\) |
0.535298 | + | 0.844663i | \(0.320199\pi\) | |||||||
\(728\) | 5.00373 | − | 4.01073i | 0.185451 | − | 0.148648i | ||||
\(729\) | 0.654861 | − | 0.755750i | 0.0242541 | − | 0.0279907i | ||||
\(730\) | −20.3491 | − | 9.29312i | −0.753154 | − | 0.343954i | ||||
\(731\) | −19.8938 | + | 67.7521i | −0.735799 | + | 2.50590i | ||||
\(732\) | −7.90999 | + | 3.61237i | −0.292362 | + | 0.133517i | ||||
\(733\) | 0.472756 | + | 3.28809i | 0.0174617 | + | 0.121448i | 0.996688 | − | 0.0813225i | \(-0.0259144\pi\) |
−0.979226 | + | 0.202771i | \(0.935005\pi\) | |||||||
\(734\) | −17.9473 | − | 11.5341i | −0.662449 | − | 0.425730i | ||||
\(735\) | 10.8797 | − | 0.720968i | 0.401305 | − | 0.0265933i | ||||
\(736\) | −11.2976 | + | 22.9914i | −0.416437 | + | 0.847474i | ||||
\(737\) | −1.53695 | −0.0566141 | ||||||||
\(738\) | −6.32691 | + | 9.84486i | −0.232897 | + | 0.362394i | ||||
\(739\) | −1.08578 | − | 7.55180i | −0.0399412 | − | 0.277797i | 0.960057 | − | 0.279805i | \(-0.0902699\pi\) |
−0.999998 | + | 0.00200802i | \(0.999361\pi\) | |||||||
\(740\) | −17.0272 | + | 7.77605i | −0.625932 | + | 0.285853i | ||||
\(741\) | 0.318305 | + | 0.0934628i | 0.0116932 | + | 0.00343344i | ||||
\(742\) | 14.6712 | − | 6.03212i | 0.538598 | − | 0.221446i | ||||
\(743\) | −12.0410 | − | 10.4336i | −0.441742 | − | 0.382771i | 0.405399 | − | 0.914140i | \(-0.367133\pi\) |
−0.847141 | + | 0.531368i | \(0.821678\pi\) | |||||||
\(744\) | −2.58288 | + | 17.9643i | −0.0946931 | + | 0.658605i | ||||
\(745\) | 8.06613 | + | 27.4707i | 0.295520 | + | 1.00645i | ||||
\(746\) | −11.0570 | + | 9.58097i | −0.404827 | + | 0.350784i | ||||
\(747\) | 3.86546 | − | 2.48418i | 0.141430 | − | 0.0908913i | ||||
\(748\) | 3.69741 | + | 5.75328i | 0.135191 | + | 0.210361i | ||||
\(749\) | −1.36409 | + | 35.5847i | −0.0498426 | + | 1.30024i | ||||
\(750\) | −3.14136 | − | 10.6985i | −0.114706 | − | 0.390653i | ||||
\(751\) | 5.83277 | + | 0.838625i | 0.212841 | + | 0.0306019i | 0.247910 | − | 0.968783i | \(-0.420256\pi\) |
−0.0350695 | + | 0.999385i | \(0.511165\pi\) | |||||||
\(752\) | 2.02310 | + | 1.75303i | 0.0737749 | + | 0.0639263i | ||||
\(753\) | 4.14457 | + | 1.89276i | 0.151037 | + | 0.0689761i | ||||
\(754\) | 0.492060 | − | 1.67580i | 0.0179198 | − | 0.0610291i | ||||
\(755\) | −4.19991 | − | 9.19652i | −0.152850 | − | 0.334696i | ||||
\(756\) | 1.67621 | − | 2.40078i | 0.0609632 | − | 0.0873154i | ||||
\(757\) | −4.03001 | + | 6.27082i | −0.146473 | + | 0.227917i | −0.906736 | − | 0.421699i | \(-0.861434\pi\) |
0.760263 | + | 0.649616i | \(0.225070\pi\) | |||||||
\(758\) | − | 30.7386i | − | 1.11648i | ||||||
\(759\) | −5.07669 | − | 0.143880i | −0.184272 | − | 0.00522251i | ||||
\(760\) | 1.83813 | 0.0666760 | ||||||||
\(761\) | 20.8232 | − | 32.4015i | 0.754840 | − | 1.17455i | −0.224920 | − | 0.974377i | \(-0.572212\pi\) |
0.979760 | − | 0.200177i | \(-0.0641516\pi\) | |||||||
\(762\) | 16.9019 | − | 2.43013i | 0.612292 | − | 0.0880343i | ||||
\(763\) | 6.81851 | − | 20.3090i | 0.246847 | − | 0.735234i | ||||
\(764\) | 2.64553 | − | 9.00984i | 0.0957119 | − | 0.325965i | ||||
\(765\) | 3.77593 | − | 8.26813i | 0.136519 | − | 0.298935i | ||||
\(766\) | −17.5463 | + | 20.2495i | −0.633974 | + | 0.731645i | ||||
\(767\) | 0.672742 | − | 4.67903i | 0.0242913 | − | 0.168950i | ||||
\(768\) | −4.76914 | − | 16.2422i | −0.172092 | − | 0.586090i | ||||
\(769\) | −29.0494 | − | 33.5248i | −1.04755 | − | 1.20893i | −0.977400 | − | 0.211397i | \(-0.932199\pi\) |
−0.0701469 | − | 0.997537i | \(-0.522347\pi\) | |||||||
\(770\) | 4.05742 | + | 0.742999i | 0.146219 | + | 0.0267758i | ||||
\(771\) | −3.20260 | + | 2.05819i | −0.115339 | + | 0.0741238i | ||||
\(772\) | 4.27769 | + | 4.93671i | 0.153957 | + | 0.177676i | ||||
\(773\) | 17.2700 | − | 5.07092i | 0.621157 | − | 0.182388i | 0.0440136 | − | 0.999031i | \(-0.485986\pi\) |
0.577144 | + | 0.816643i | \(0.304167\pi\) | |||||||
\(774\) | 11.3206 | + | 1.62765i | 0.406910 | + | 0.0585048i | ||||
\(775\) | 12.0224 | + | 10.4175i | 0.431858 | + | 0.374207i | ||||
\(776\) | −6.11583 | + | 13.3918i | −0.219546 | + | 0.480738i | ||||
\(777\) | 24.7459 | − | 14.5951i | 0.887755 | − | 0.523596i | ||||
\(778\) | −28.7076 | + | 13.1103i | −1.02922 | + | 0.470028i | ||||
\(779\) | −4.92544 | + | 0.708171i | −0.176472 | + | 0.0253729i | ||||
\(780\) | 1.19708 | + | 0.769317i | 0.0428624 | + | 0.0275460i | ||||
\(781\) | − | 10.7562i | − | 0.384886i | ||||||
\(782\) | 4.50449 | − | 26.0641i | 0.161080 | − | 0.932050i | ||||
\(783\) | − | 2.23864i | − | 0.0800025i | ||||||
\(784\) | −1.90284 | + | 3.44188i | −0.0679587 | + | 0.122924i | ||||
\(785\) | −2.51583 | − | 17.4980i | −0.0897939 | − | 0.624530i | ||||
\(786\) | 5.71468 | + | 12.5134i | 0.203836 | + | 0.446339i | ||||
\(787\) | −19.3268 | − | 5.67485i | −0.688925 | − | 0.202287i | −0.0815114 | − | 0.996672i | \(-0.525975\pi\) |
−0.607414 | + | 0.794386i | \(0.707793\pi\) | |||||||
\(788\) | −0.480419 | + | 1.05197i | −0.0171142 | + | 0.0374749i | ||||
\(789\) | 5.35341 | − | 6.17816i | 0.190586 | − | 0.219948i | ||||
\(790\) | −2.80462 | − | 0.403243i | −0.0997838 | − | 0.0143467i | ||||
\(791\) | −16.7580 | − | 8.44331i | −0.595845 | − | 0.300210i | ||||
\(792\) | 2.35000 | − | 2.03629i | 0.0835036 | − | 0.0723562i | ||||
\(793\) | 3.50661 | + | 5.45640i | 0.124523 | + | 0.193762i | ||||
\(794\) | 4.82475 | + | 7.50745i | 0.171224 | + | 0.266430i | ||||
\(795\) | 6.47075 | + | 7.46764i | 0.229494 | + | 0.264850i | ||||
\(796\) | −23.3677 | + | 6.86137i | −0.828246 | + | 0.243195i | ||||
\(797\) | 5.74409 | − | 39.9510i | 0.203466 | − | 1.41514i | −0.590432 | − | 0.807087i | \(-0.701043\pi\) |
0.793898 | − | 0.608051i | \(-0.208048\pi\) | |||||||
\(798\) | −0.999492 | + | 0.104814i | −0.0353816 | + | 0.00371036i | ||||
\(799\) | 25.2909 | + | 11.5500i | 0.894727 | + | 0.408608i | ||||
\(800\) | −13.1907 | − | 3.87314i | −0.466361 | − | 0.136936i | ||||
\(801\) | 3.67129 | + | 8.03901i | 0.129719 | + | 0.284045i | ||||
\(802\) | 11.3443 | − | 1.63106i | 0.400581 | − | 0.0575949i | ||||
\(803\) | −13.5371 | − | 8.69976i | −0.477714 | − | 0.307008i | ||||
\(804\) | 1.60618 | 0.0566458 | ||||||||
\(805\) | 11.9194 | + | 15.7658i | 0.420105 | + | 0.555672i | ||||
\(806\) | 4.82228 | 0.169858 | ||||||||
\(807\) | −12.6660 | − | 8.13997i | −0.445866 | − | 0.286540i | ||||
\(808\) | −36.8323 | + | 5.29568i | −1.29576 | + | 0.186302i | ||||
\(809\) | 9.77842 | + | 21.4117i | 0.343791 | + | 0.752797i | 0.999998 | − | 0.00178359i | \(-0.000567734\pi\) |
−0.656208 | + | 0.754580i | \(0.727840\pi\) | |||||||
\(810\) | −1.41258 | − | 0.414772i | −0.0496331 | − | 0.0145736i | ||||
\(811\) | 14.9403 | + | 6.82299i | 0.524623 | + | 0.239587i | 0.660079 | − | 0.751196i | \(-0.270523\pi\) |
−0.135456 | + | 0.990783i | \(0.543250\pi\) | |||||||
\(812\) | −0.683636 | − | 6.51908i | −0.0239909 | − | 0.228775i | ||||
\(813\) | −4.01693 | + | 27.9384i | −0.140880 | + | 0.979841i | ||||
\(814\) | 10.4282 | − | 3.06200i | 0.365509 | − | 0.107323i | ||||
\(815\) | 12.0415 | + | 13.8967i | 0.421796 | + | 0.486779i | ||||
\(816\) | 1.77251 | + | 2.75808i | 0.0620502 | + | 0.0965520i | ||||
\(817\) | 2.62921 | + | 4.09114i | 0.0919846 | + | 0.143131i | ||||
\(818\) | 26.1273 | − | 22.6395i | 0.913520 | − | 0.791570i | ||||
\(819\) | −1.95039 | − | 0.982683i | −0.0681523 | − | 0.0343377i | ||||
\(820\) | −21.1271 | − | 3.03762i | −0.737790 | − | 0.106078i | ||||
\(821\) | −30.7568 | + | 35.4952i | −1.07342 | + | 1.23879i | −0.103691 | + | 0.994610i | \(0.533065\pi\) |
−0.969729 | + | 0.244183i | \(0.921480\pi\) | |||||||
\(822\) | 5.36028 | − | 11.7374i | 0.186961 | − | 0.409388i | ||||
\(823\) | −17.2260 | − | 5.05801i | −0.600460 | − | 0.176311i | −0.0326449 | − | 0.999467i | \(-0.510393\pi\) |
−0.567815 | + | 0.823156i | \(0.692211\pi\) | |||||||
\(824\) | −1.60847 | − | 3.52205i | −0.0560337 | − | 0.122697i | ||||
\(825\) | −0.387882 | − | 2.69778i | −0.0135043 | − | 0.0939246i | ||||
\(826\) | 3.50520 | + | 13.8847i | 0.121962 | + | 0.483109i | ||||
\(827\) | 19.6790i | 0.684306i | 0.939644 | + | 0.342153i | \(0.111156\pi\) | ||||
−0.939644 | + | 0.342153i | \(0.888844\pi\) | |||||||
\(828\) | 5.30539 | + | 0.150362i | 0.184375 | + | 0.00522542i | ||||
\(829\) | 27.0191i | 0.938411i | 0.883089 | + | 0.469205i | \(0.155460\pi\) | ||||
−0.883089 | + | 0.469205i | \(0.844540\pi\) | |||||||
\(830\) | −5.69079 | − | 3.65725i | −0.197530 | − | 0.126945i | ||||
\(831\) | 15.3124 | − | 2.20159i | 0.531181 | − | 0.0763723i | ||||
\(832\) | −4.63452 | + | 2.11651i | −0.160673 | + | 0.0733769i | ||||
\(833\) | −8.89141 | + | 39.8682i | −0.308069 | + | 1.38135i | ||||
\(834\) | 3.74045 | − | 8.19044i | 0.129521 | − | 0.283612i | ||||
\(835\) | 2.02434 | + | 1.75410i | 0.0700553 | + | 0.0607033i | ||||
\(836\) | 0.466210 | + | 0.0670308i | 0.0161242 | + | 0.00231831i | ||||
\(837\) | 5.93059 | − | 1.74138i | 0.204991 | − | 0.0601908i | ||||
\(838\) | −8.28314 | − | 9.55926i | −0.286136 | − | 0.330219i | ||||
\(839\) | −37.9825 | + | 24.4099i | −1.31130 | + | 0.842722i | −0.994394 | − | 0.105735i | \(-0.966280\pi\) |
−0.316906 | + | 0.948457i | \(0.602644\pi\) | |||||||
\(840\) | −11.9030 | − | 2.17969i | −0.410693 | − | 0.0752066i | ||||
\(841\) | 15.7091 | + | 18.1293i | 0.541694 | + | 0.625148i | ||||
\(842\) | 4.48814 | + | 15.2852i | 0.154672 | + | 0.526763i | ||||
\(843\) | 2.34250 | − | 16.2924i | 0.0806799 | − | 0.561141i | ||||
\(844\) | 3.91555 | − | 4.51879i | 0.134779 | − | 0.155543i | ||||
\(845\) | −7.97106 | + | 17.4542i | −0.274213 | + | 0.600442i | ||||
\(846\) | 1.26872 | − | 4.32087i | 0.0436195 | − | 0.148554i | ||||
\(847\) | −24.7770 | − | 8.31861i | −0.851348 | − | 0.285831i | ||||
\(848\) | −3.52777 | + | 0.507217i | −0.121144 | + | 0.0174179i | ||||
\(849\) | −6.31191 | + | 9.82153i | −0.216624 | + | 0.337074i | ||||
\(850\) | 14.1947 | 0.486875 | ||||||||
\(851\) | 46.7385 | + | 22.9666i | 1.60217 | + | 0.787286i | ||||
\(852\) | 11.2407i | 0.385101i | ||||||||
\(853\) | −18.2104 | + | 28.3359i | −0.623512 | + | 0.970204i | 0.375545 | + | 0.926804i | \(0.377455\pi\) |
−0.999058 | + | 0.0434003i | \(0.986181\pi\) | |||||||
\(854\) | −16.1104 | − | 11.2482i | −0.551287 | − | 0.384906i | ||||
\(855\) | −0.260052 | − | 0.569434i | −0.00889358 | − | 0.0194742i | ||||
\(856\) | 11.1345 | − | 37.9205i | 0.380568 | − | 1.29610i | ||||
\(857\) | 20.3056 | + | 9.27328i | 0.693627 | + | 0.316769i | 0.730850 | − | 0.682538i | \(-0.239124\pi\) |
−0.0372227 | + | 0.999307i | \(0.511851\pi\) | |||||||
\(858\) | −0.624404 | − | 0.541049i | −0.0213168 | − | 0.0184711i | ||||
\(859\) | 15.4983 | + | 2.22832i | 0.528796 | + | 0.0760295i | 0.401542 | − | 0.915841i | \(-0.368474\pi\) |
0.127255 | + | 0.991870i | \(0.459383\pi\) | |||||||
\(860\) | 5.87691 | + | 20.0149i | 0.200401 | + | 0.682503i | ||||
\(861\) | 32.7350 | + | 1.25485i | 1.11561 | + | 0.0427651i | ||||
\(862\) | −7.90521 | − | 12.3007i | −0.269252 | − | 0.418965i | ||||
\(863\) | −9.74666 | + | 6.26379i | −0.331780 | + | 0.213222i | −0.695915 | − | 0.718124i | \(-0.745001\pi\) |
0.364135 | + | 0.931346i | \(0.381365\pi\) | |||||||
\(864\) | −4.03688 | + | 3.49797i | −0.137337 | + | 0.119004i | ||||
\(865\) | −0.0223148 | − | 0.0759973i | −0.000758727 | − | 0.00258399i | ||||
\(866\) | −0.753664 | + | 5.24185i | −0.0256105 | + | 0.178125i | ||||
\(867\) | 12.8868 | + | 11.1665i | 0.437659 | + | 0.379234i | ||||
\(868\) | 16.7385 | − | 6.88210i | 0.568142 | − | 0.233594i | ||||
\(869\) | −1.95559 | − | 0.574213i | −0.0663388 | − | 0.0194788i | ||||
\(870\) | −2.99794 | + | 1.36911i | −0.101640 | + | 0.0464172i | ||||
\(871\) | −0.170496 | − | 1.18583i | −0.00577704 | − | 0.0401802i | ||||
\(872\) | −12.8540 | + | 20.0013i | −0.435292 | + | 0.677328i | ||||
\(873\) | 5.01389 | 0.169694 | ||||||||
\(874\) | −1.15346 | − | 1.40997i | −0.0390163 | − | 0.0476929i | ||||
\(875\) | −21.3285 | + | 22.7886i | −0.721033 | + | 0.770396i | ||||
\(876\) | 14.1469 | + | 9.09168i | 0.477980 | + | 0.307179i | ||||
\(877\) | −6.90731 | − | 48.0414i | −0.233243 | − | 1.62224i | −0.683921 | − | 0.729556i | \(-0.739727\pi\) |
0.450678 | − | 0.892687i | \(-0.351182\pi\) | |||||||
\(878\) | 14.4883 | − | 6.61658i | 0.488956 | − | 0.223299i | ||||
\(879\) | 3.80970 | − | 12.9747i | 0.128498 | − | 0.437624i | ||||
\(880\) | −0.843023 | − | 0.384996i | −0.0284183 | − | 0.0129782i | ||||
\(881\) | 37.9921 | − | 43.8452i | 1.27999 | − | 1.47718i | 0.479871 | − | 0.877339i | \(-0.340684\pi\) |
0.800116 | − | 0.599845i | \(-0.204771\pi\) | |||||||
\(882\) | 6.59662 | + | 0.506487i | 0.222120 | + | 0.0170543i | ||||
\(883\) | 8.24823 | − | 2.42190i | 0.277575 | − | 0.0815034i | −0.139982 | − | 0.990154i | \(-0.544705\pi\) |
0.417557 | + | 0.908651i | \(0.362886\pi\) | |||||||
\(884\) | −4.02876 | + | 3.49094i | −0.135502 | + | 0.117413i | ||||
\(885\) | −7.50414 | + | 4.82262i | −0.252249 | + | 0.162111i | ||||
\(886\) | 14.1776 | − | 9.11139i | 0.476306 | − | 0.306103i | ||||
\(887\) | −0.746289 | + | 0.646663i | −0.0250579 | + | 0.0217128i | −0.667300 | − | 0.744789i | \(-0.732550\pi\) |
0.642242 | + | 0.766502i | \(0.278005\pi\) | |||||||
\(888\) | −30.5927 | + | 8.98282i | −1.02662 | + | 0.301444i | ||||
\(889\) | −29.8956 | − | 37.2974i | −1.00267 | − | 1.25092i | ||||
\(890\) | 8.52036 | − | 9.83302i | 0.285603 | − | 0.329604i | ||||
\(891\) | −0.963290 | − | 0.439920i | −0.0322714 | − | 0.0147379i | ||||
\(892\) | −6.15929 | + | 20.9766i | −0.206228 | + | 0.702349i | ||||
\(893\) | 1.74181 | − | 0.795457i | 0.0582874 | − | 0.0266189i | ||||
\(894\) | 2.47233 | + | 17.1954i | 0.0826870 | + | 0.575101i | ||||
\(895\) | −16.6301 | − | 10.6875i | −0.555882 | − | 0.357243i | ||||
\(896\) | −8.76738 | + | 9.36760i | −0.292898 | + | 0.312950i | ||||
\(897\) | −0.452156 | − | 3.93286i | −0.0150970 | − | 0.131315i | ||||
\(898\) | −0.221690 | −0.00739790 | ||||||||
\(899\) | 7.48082 | − | 11.6404i | 0.249499 | − | 0.388229i | ||||
\(900\) | 0.405356 | + | 2.81931i | 0.0135119 | + | 0.0939770i | ||||
\(901\) | −33.6720 | + | 15.3775i | −1.12178 | + | 0.512298i | ||||
\(902\) | 11.8909 | + | 3.49149i | 0.395924 | + | 0.116254i | ||||
\(903\) | −12.1744 | − | 29.6104i | −0.405140 | − | 0.985373i | ||||
\(904\) | 15.7388 | + | 13.6378i | 0.523466 | + | 0.453586i | ||||
\(905\) | −2.71775 | + | 18.9024i | −0.0903411 | + | 0.628336i | ||||
\(906\) | −1.72831 | − | 5.88610i | −0.0574194 | − | 0.195552i | ||||
\(907\) | 4.43380 | − | 3.84191i | 0.147222 | − | 0.127569i | −0.578136 | − | 0.815940i | \(-0.696220\pi\) |
0.725358 | + | 0.688372i | \(0.241674\pi\) | |||||||
\(908\) | −4.58739 | + | 2.94814i | −0.152238 | + | 0.0978374i | ||||
\(909\) | 6.85145 | + | 10.6611i | 0.227248 | + | 0.353605i | ||||
\(910\) | −0.123162 | + | 3.21291i | −0.00408278 | + | 0.106507i | ||||
\(911\) | −12.0277 | − | 40.9626i | −0.398496 | − | 1.35715i | −0.877600 | − | 0.479394i | \(-0.840857\pi\) |
0.479104 | − | 0.877758i | \(-0.340962\pi\) | |||||||
\(912\) | 0.223497 | + | 0.0321341i | 0.00740074 | + | 0.00106407i | ||||
\(913\) | −3.67742 | − | 3.18650i | −0.121705 | − | 0.105458i | ||||
\(914\) | −10.4401 | − | 4.76783i | −0.345327 | − | 0.157706i | ||||
\(915\) | 3.44819 | − | 11.7435i | 0.113994 | − | 0.388227i | ||||
\(916\) | −9.65230 | − | 21.1356i | −0.318921 | − | 0.698340i | ||||
\(917\) | 22.0450 | − | 31.5743i | 0.727991 | − | 1.04268i | ||||
\(918\) | 2.98180 | − | 4.63977i | 0.0984140 | − | 0.153135i | ||||
\(919\) | 23.7230i | 0.782549i | 0.920274 | + | 0.391275i | \(0.127966\pi\) | ||||
−0.920274 | + | 0.391275i | \(0.872034\pi\) | |||||||
\(920\) | −8.54315 | − | 20.2028i | −0.281659 | − | 0.666066i | ||||
\(921\) | 16.7544 | 0.552078 | ||||||||
\(922\) | 19.4302 | − | 30.2340i | 0.639899 | − | 0.995703i | ||||
\(923\) | 8.29888 | − | 1.19320i | 0.273161 | − | 0.0392746i | ||||
\(924\) | −2.93951 | − | 0.986908i | −0.0967028 | − | 0.0324669i | ||||
\(925\) | −7.87358 | + | 26.8149i | −0.258882 | + | 0.881670i | ||||
\(926\) | 8.57539 | − | 18.7775i | 0.281805 | − | 0.617066i | ||||
\(927\) | −0.863537 | + | 0.996574i | −0.0283623 | + | 0.0327318i | ||||
\(928\) | −1.70178 | + | 11.8361i | −0.0558636 | + | 0.388540i | ||||
\(929\) | −3.68296 | − | 12.5430i | −0.120834 | − | 0.411523i | 0.876754 | − | 0.480939i | \(-0.159704\pi\) |
−0.997588 | + | 0.0694169i | \(0.977886\pi\) | |||||||
\(930\) | −5.95905 | − | 6.87711i | −0.195405 | − | 0.225509i | ||||
\(931\) | 1.67410 | + | 2.26088i | 0.0548664 | + | 0.0740974i | ||||
\(932\) | 7.84644 | − | 5.04260i | 0.257019 | − | 0.165176i | ||||
\(933\) | −6.19106 | − | 7.14486i | −0.202686 | − | 0.233912i | ||||
\(934\) | 2.51599 | − | 0.738762i | 0.0823258 | − | 0.0241730i | ||||
\(935\) | −9.52773 | − | 1.36988i | −0.311590 | − | 0.0447999i | ||||
\(936\) | 1.83178 | + | 1.58724i | 0.0598735 | + | 0.0518807i | ||||
\(937\) | −15.6317 | + | 34.2285i | −0.510664 | + | 1.11820i | 0.462191 | + | 0.886781i | \(0.347064\pi\) |
−0.972855 | + | 0.231417i | \(0.925664\pi\) | |||||||
\(938\) | 1.84373 | + | 3.12604i | 0.0601999 | + | 0.102069i | ||||
\(939\) | −14.7041 | + | 6.71513i | −0.479850 | + | 0.219140i | ||||
\(940\) | 8.12991 | − | 1.16891i | 0.265169 | − | 0.0381255i | ||||
\(941\) | 50.5075 | + | 32.4592i | 1.64650 | + | 1.05814i | 0.934505 | + | 0.355950i | \(0.115843\pi\) |
0.711991 | + | 0.702189i | \(0.247794\pi\) | |||||||
\(942\) | − | 10.7265i | − | 0.349489i | ||||||
\(943\) | 30.6756 | + | 50.8438i | 0.998936 | + | 1.65570i | ||||
\(944\) | − | 3.21745i | − | 0.104719i | ||||||
\(945\) | 1.00875 | + | 3.99581i | 0.0328146 | + | 0.129984i | ||||
\(946\) | −1.72367 | − | 11.9884i | −0.0560412 | − | 0.389775i | ||||
\(947\) | 1.08561 | + | 2.37716i | 0.0352776 | + | 0.0772472i | 0.926450 | − | 0.376417i | \(-0.122844\pi\) |
−0.891173 | + | 0.453664i | \(0.850117\pi\) | |||||||
\(948\) | 2.04369 | + | 0.600080i | 0.0663758 | + | 0.0194897i | ||||
\(949\) | 5.21058 | − | 11.4096i | 0.169143 | − | 0.370370i | ||||
\(950\) | 0.640195 | − | 0.738825i | 0.0207707 | − | 0.0239706i | ||||
\(951\) | −6.20186 | − | 0.891692i | −0.201109 | − | 0.0289151i | ||||
\(952\) | 20.3979 | − | 40.4849i | 0.661099 | − | 1.31212i | ||||
\(953\) | 19.5072 | − | 16.9031i | 0.631902 | − | 0.547546i | −0.278936 | − | 0.960310i | \(-0.589982\pi\) |
0.910838 | + | 0.412764i | \(0.135436\pi\) | |||||||
\(954\) | 3.24147 | + | 5.04383i | 0.104946 | + | 0.163300i | ||||
\(955\) | 7.14543 | + | 11.1185i | 0.231221 | + | 0.359787i | ||||
\(956\) | 1.34981 | + | 1.55776i | 0.0436558 | + | 0.0503815i | ||||
\(957\) | −2.27467 | + | 0.667902i | −0.0735295 | + | 0.0215902i | ||||
\(958\) | −5.05595 | + | 35.1649i | −0.163350 | + | 1.13613i | ||||
\(959\) | −35.9235 | + | 3.76719i | −1.16003 | + | 0.121649i | ||||
\(960\) | 8.74541 | + | 3.99390i | 0.282257 | + | 0.128902i | ||||
\(961\) | 6.91243 | + | 2.02967i | 0.222982 | + | 0.0654733i | ||||
\(962\) | 3.51929 | + | 7.70618i | 0.113467 | + | 0.248457i | ||||
\(963\) | −13.3226 | + | 1.91551i | −0.429316 | + | 0.0617263i | ||||
\(964\) | 8.66602 | + | 5.56932i | 0.279114 | + | 0.179376i | ||||
\(965\) | −9.19399 | −0.295965 | ||||||||
\(966\) | 5.79738 | + | 10.4982i | 0.186528 | + | 0.337774i | ||||
\(967\) | 24.2871 | 0.781021 | 0.390510 | − | 0.920599i | \(-0.372299\pi\) | ||||
0.390510 | + | 0.920599i | \(0.372299\pi\) | |||||||
\(968\) | 24.4016 | + | 15.6820i | 0.784297 | + | 0.504037i | ||||
\(969\) | 2.32130 | − | 0.333753i | 0.0745710 | − | 0.0107217i | ||||
\(970\) | −3.06640 | − | 6.71448i | −0.0984562 | − | 0.215589i | ||||
\(971\) | −12.3742 | − | 3.63339i | −0.397107 | − | 0.116601i | 0.0770810 | − | 0.997025i | \(-0.475440\pi\) |
−0.474188 | + | 0.880424i | \(0.657258\pi\) | |||||||
\(972\) | 1.00669 | + | 0.459738i | 0.0322894 | + | 0.0147461i | ||||
\(973\) | −25.0678 | + | 2.62878i | −0.803636 | + | 0.0842748i | ||||
\(974\) | 2.47829 | − | 17.2369i | 0.0794095 | − | 0.552305i | ||||
\(975\) | 2.03843 | − | 0.598538i | 0.0652821 | − | 0.0191686i | ||||
\(976\) | 2.89096 | + | 3.33634i | 0.0925373 | + | 0.106794i | ||||
\(977\) | −23.1765 | − | 36.0633i | −0.741482 | − | 1.15377i | −0.983042 | − | 0.183383i | \(-0.941295\pi\) |
0.241560 | − | 0.970386i | \(-0.422341\pi\) | |||||||
\(978\) | 6.03211 | + | 9.38614i | 0.192886 | + | 0.300136i | ||||
\(979\) | 7.07304 | − | 6.12882i | 0.226055 | − | 0.195878i | ||||
\(980\) | 4.15779 | + | 11.3280i | 0.132816 | + | 0.361861i | ||||
\(981\) | 8.01473 | + | 1.15234i | 0.255891 | + | 0.0367915i | ||||
\(982\) | 11.0241 | − | 12.7225i | 0.351794 | − | 0.405992i | ||||
\(983\) | −1.81962 | + | 3.98441i | −0.0580369 | + | 0.127083i | −0.936428 | − | 0.350859i | \(-0.885890\pi\) |
0.878392 | + | 0.477942i | \(0.158617\pi\) | |||||||
\(984\) | −34.8837 | − | 10.2428i | −1.11205 | − | 0.326528i | ||||
\(985\) | −0.676184 | − | 1.48064i | −0.0215450 | − | 0.0471770i | ||||
\(986\) | −1.75713 | − | 12.2211i | −0.0559584 | − | 0.389200i | ||||
\(987\) | −12.2226 | + | 3.08560i | −0.389048 | + | 0.0982158i | ||||
\(988\) | 0.367138i | 0.0116802i | ||||||||
\(989\) | 32.7455 | − | 47.9121i | 1.04125 | − | 1.52352i | ||||
\(990\) | 1.55906i | 0.0495502i | ||||||||
\(991\) | −48.1934 | − | 30.9720i | −1.53091 | − | 0.983858i | −0.989729 | − | 0.142953i | \(-0.954340\pi\) |
−0.541183 | − | 0.840905i | \(-0.682024\pi\) | |||||||
\(992\) | −32.6799 | + | 4.69866i | −1.03759 | + | 0.149183i | ||||
\(993\) | −14.8928 | + | 6.80130i | −0.472608 | + | 0.215833i | ||||
\(994\) | −21.8772 | + | 12.9031i | −0.693904 | + | 0.409263i | ||||
\(995\) | 14.2397 | − | 31.1806i | 0.451428 | − | 0.988490i | ||||
\(996\) | 3.84308 | + | 3.33005i | 0.121773 | + | 0.105517i | ||||
\(997\) | −18.4896 | − | 2.65840i | −0.585571 | − | 0.0841924i | −0.156839 | − | 0.987624i | \(-0.550130\pi\) |
−0.428732 | + | 0.903432i | \(0.641039\pi\) | |||||||
\(998\) | −37.1882 | + | 10.9194i | −1.17717 | + | 0.345649i | ||||
\(999\) | 7.11092 | + | 8.20644i | 0.224980 | + | 0.259640i |
(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 | 483.2.r.a.412.13 | yes | 320 | |
7.6 | odd | 2 | inner | 483.2.r.a.412.14 | yes | 320 | |
23.11 | odd | 22 | inner | 483.2.r.a.34.14 | yes | 320 | |
161.34 | even | 22 | inner | 483.2.r.a.34.13 | ✓ | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.r.a.34.13 | ✓ | 320 | 161.34 | even | 22 | inner | |
483.2.r.a.34.14 | yes | 320 | 23.11 | odd | 22 | inner | |
483.2.r.a.412.13 | yes | 320 | 1.1 | even | 1 | trivial | |
483.2.r.a.412.14 | yes | 320 | 7.6 | odd | 2 | inner |