Newspace parameters
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.r (of order \(22\), degree \(10\), minimal) |
Newform invariants
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 | 34.14 | ||
Character | \(\chi\) | \(=\) | 483.34 |
Dual form | 483.2.r.a.412.14 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{9}{22}\right)\) |
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 | −0.790676 | − | 0.612234i | \(-0.790271\pi\) |
0.228449 | + | 0.973556i | \(0.426635\pi\) | |||||||
\(3\) | 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 | \(-0.704151\pi\) |
−0.0701032 | + | 0.997540i | \(0.522333\pi\) | |||||||
\(6\) | −0.859737 | + | 0.392629i | −0.350986 | + | 0.160290i | ||||
\(7\) | −2.64381 | − | 0.101346i | −0.999266 | − | 0.0383053i | ||||
\(8\) | −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 | −0.916776 | − | 0.399402i | \(-0.869218\pi\) |
0.744151 | + | 0.668011i | \(0.232854\pi\) | |||||||
\(12\) | −0.598324 | + | 0.931011i | −0.172721 | + | 0.268760i | ||||
\(13\) | −0.623842 | − | 0.540562i | −0.173023 | − | 0.149925i | 0.564045 | − | 0.825744i | \(-0.309245\pi\) |
−0.737067 | + | 0.675819i | \(0.763790\pi\) | |||||||
\(14\) | 2.15390 | − | 1.27037i | 0.575655 | − | 0.339520i | ||||
\(15\) | −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 | −0.936684 | − | 0.350176i | \(-0.886122\pi\) |
0.348752 | − | 0.937215i | \(-0.386606\pi\) | |||||||
\(18\) | −0.906863 | + | 0.266279i | −0.213750 | + | 0.0627626i | ||||
\(19\) | 0.166950 | − | 0.365570i | 0.0383011 | − | 0.0838676i | −0.889514 | − | 0.456907i | \(-0.848957\pi\) |
0.927815 | + | 0.373040i | \(0.121684\pi\) | |||||||
\(20\) | 0.245330 | − | 1.70631i | 0.0548574 | − | 0.381542i | ||||
\(21\) | −2.60248 | − | 0.476568i | −0.567907 | − | 0.103996i | ||||
\(22\) | − | 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 | ||||
\(28\) | 1.31748 | − | 2.61489i | 0.248981 | − | 0.494168i | ||||
\(29\) | −0.929966 | − | 2.03634i | −0.172690 | − | 0.378139i | 0.803421 | − | 0.595412i | \(-0.203011\pi\) |
−0.976111 | + | 0.217273i | \(0.930284\pi\) | |||||||
\(30\) | 1.11263 | − | 0.964098i | 0.203137 | − | 0.176019i | ||||
\(31\) | 6.11805 | − | 0.879642i | 1.09883 | − | 0.157988i | 0.431038 | − | 0.902334i | \(-0.358147\pi\) |
0.667795 | + | 0.744345i | \(0.267238\pi\) | |||||||
\(32\) | 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 | ||||
\(35\) | 3.99581 | − | 1.00875i | 0.675416 | − | 0.170510i | ||||
\(36\) | −0.724731 | + | 0.836384i | −0.120788 | + | 0.139397i | ||||
\(37\) | −3.05924 | + | 10.4188i | −0.502937 | + | 1.71284i | 0.181161 | + | 0.983454i | \(0.442015\pi\) |
−0.684097 | + | 0.729391i | \(0.739804\pi\) | |||||||
\(38\) | 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 | −0.517382 | − | 0.855754i | \(-0.673094\pi\) |
−0.0274059 | − | 0.999624i | \(-0.508725\pi\) | |||||||
\(42\) | 2.31277 | − | 0.950904i | 0.356869 | − | 0.146728i | ||||
\(43\) | −11.9776 | − | 1.72211i | −1.82656 | − | 0.262620i | −0.858406 | − | 0.512970i | \(-0.828545\pi\) |
−0.968155 | + | 0.250350i | \(0.919454\pi\) | |||||||
\(44\) | −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 | ||||
\(49\) | 6.97946 | + | 0.535881i | 0.997065 | + | 0.0765544i | ||||
\(50\) | 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 | −0.918705 | − | 0.394944i | \(-0.870764\pi\) |
0.260179 | + | 0.965561i | \(0.416219\pi\) | |||||||
\(54\) | −0.935528 | + | 0.134509i | −0.127309 | + | 0.0183043i | ||||
\(55\) | 0.464730 | − | 1.58272i | 0.0626641 | − | 0.213414i | ||||
\(56\) | 0.810235 | + | 7.72632i | 0.108272 | + | 1.03247i | ||||
\(57\) | 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 | \(-0.394321\pi\) |
−0.889384 | + | 0.457161i | \(0.848866\pi\) | |||||||
\(60\) | 0.485665 | − | 1.65402i | 0.0626991 | − | 0.213534i | ||||
\(61\) | 1.11823 | + | 7.77749i | 0.143175 | + | 0.995805i | 0.927064 | + | 0.374904i | \(0.122324\pi\) |
−0.783888 | + | 0.620902i | \(0.786767\pi\) | |||||||
\(62\) | −4.41503 | + | 3.82565i | −0.560709 | + | 0.485857i | ||||
\(63\) | −2.50816 | − | 0.842088i | −0.315999 | − | 0.106093i | ||||
\(64\) | −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 | 0.885871 | − | 0.463931i | \(-0.153562\pi\) |
−0.790011 | + | 0.613093i | \(0.789925\pi\) | |||||||
\(68\) | 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 | 0.0756198 | − | 0.997137i | \(-0.475906\pi\) |
0.938441 | + | 0.345439i | \(0.112270\pi\) | |||||||
\(72\) | 0.417877 | − | 2.90640i | 0.0492473 | − | 0.342523i | ||||
\(73\) | −13.8221 | − | 6.31233i | −1.61775 | − | 0.738802i | −0.618842 | − | 0.785515i | \(-0.712398\pi\) |
−0.998908 | + | 0.0467134i | \(0.985125\pi\) | |||||||
\(74\) | −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 | ||||
\(77\) | 1.60395 | − | 2.29729i | 0.182787 | − | 0.261800i | ||||
\(78\) | 0.748580 | + | 0.219803i | 0.0847600 | + | 0.0248878i | ||||
\(79\) | 1.45453 | + | 1.26036i | 0.163647 | + | 0.141801i | 0.732835 | − | 0.680406i | \(-0.238197\pi\) |
−0.569188 | + | 0.822208i | \(0.692742\pi\) | |||||||
\(80\) | −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 | \(-0.490237\pi\) |
−0.514589 | + | 0.857437i | \(0.672055\pi\) | |||||||
\(84\) | 1.67621 | − | 2.40078i | 0.182890 | − | 0.261946i | ||||
\(85\) | 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 | 0.807867 | + | 0.589365i | \(0.200622\pi\) |
−0.941186 | + | 0.337889i | \(0.890287\pi\) | |||||||
\(90\) | 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 | \(-0.672834\pi\) |
0.0282218 | + | 0.999602i | \(0.491016\pi\) | |||||||
\(98\) | −5.82326 | + | 3.14032i | −0.588238 | + | 0.317220i | ||||
\(99\) | −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 | 0.567119 | + | 0.823636i | \(0.308058\pi\) |
−0.922382 | + | 0.386278i | \(0.873760\pi\) | |||||||
\(102\) | 4.16819 | + | 3.61175i | 0.412712 | + | 0.357617i | ||||
\(103\) | 1.10932 | + | 0.712920i | 0.109305 | + | 0.0702461i | 0.594151 | − | 0.804353i | \(-0.297488\pi\) |
−0.484846 | + | 0.874599i | \(0.661124\pi\) | |||||||
\(104\) | −1.31040 | + | 2.03902i | −0.128495 | + | 0.199943i | ||||
\(105\) | 4.09870 | − | 0.429818i | 0.399992 | − | 0.0419459i | ||||
\(106\) | 1.68916 | − | 5.75274i | 0.164066 | − | 0.558756i | ||||
\(107\) | −13.3226 | + | 1.91551i | −1.28795 | + | 0.185179i | −0.752051 | − | 0.659104i | \(-0.770935\pi\) |
−0.535897 | + | 0.844283i | \(0.680026\pi\) | |||||||
\(108\) | −0.836384 | + | 0.724731i | −0.0804811 | + | 0.0697373i | ||||
\(109\) | 7.36542 | − | 3.36368i | 0.705480 | − | 0.322182i | −0.0301692 | − | 0.999545i | \(-0.509605\pi\) |
0.735649 | + | 0.677363i | \(0.236877\pi\) | |||||||
\(110\) | 0.439238 | + | 1.49591i | 0.0418797 | + | 0.142629i | ||||
\(111\) | −4.51086 | + | 9.87740i | −0.428152 | + | 0.937522i | ||||
\(112\) | −0.929691 | − | 1.15987i | −0.0878475 | − | 0.109597i | ||||
\(113\) | 3.83446 | + | 5.96654i | 0.360716 | + | 0.561285i | 0.973420 | − | 0.229027i | \(-0.0735545\pi\) |
−0.612704 | + | 0.790313i | \(0.709918\pi\) | |||||||
\(114\) | 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 | ||||
\(119\) | 5.87092 | + | 14.2791i | 0.538186 | + | 1.30897i | ||||
\(120\) | 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 | ||||
\(126\) | 2.42456 | − | 0.612084i | 0.215997 | − | 0.0545288i | ||||
\(127\) | 15.1987 | + | 9.76761i | 1.34867 | + | 0.866735i | 0.997575 | − | 0.0696058i | \(-0.0221741\pi\) |
0.351092 | + | 0.936341i | \(0.385811\pi\) | |||||||
\(128\) | −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 | \(-0.946617\pi\) |
0.0249060 | + | 0.999690i | \(0.492071\pi\) | |||||||
\(132\) | −0.486857 | − | 1.06607i | −0.0423754 | − | 0.0927893i | ||||
\(133\) | −0.478434 | + | 0.949579i | −0.0414855 | + | 0.0823389i | ||||
\(134\) | −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 | \(0.198198\pi\) | ||||
−0.812331 | + | 0.583196i | \(0.801802\pi\) | |||||||
\(138\) | 4.17484 | + | 1.76542i | 0.355386 | + | 0.150282i | ||||
\(139\) | − | 9.52668i | − | 0.808043i | −0.914750 | − | 0.404021i | \(-0.867612\pi\) | ||
0.914750 | − | 0.404021i | \(-0.132388\pi\) | |||||||
\(140\) | −0.821533 | + | 4.48628i | −0.0694322 | + | 0.379160i | ||||
\(141\) | −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 | ||||
\(147\) | 6.83215 | + | 1.52371i | 0.563506 | + | 0.125673i | ||||
\(148\) | −9.08203 | − | 7.86962i | −0.746538 | − | 0.646879i | ||||
\(149\) | 9.93721 | − | 15.4626i | 0.814088 | − | 1.26675i | −0.146622 | − | 0.989193i | \(-0.546840\pi\) |
0.960710 | − | 0.277554i | \(-0.0895236\pi\) | |||||||
\(150\) | 1.31512 | − | 2.04637i | 0.107379 | − | 0.167086i | ||||
\(151\) | −4.25045 | + | 4.90528i | −0.345897 | + | 0.399186i | −0.901865 | − | 0.432017i | \(-0.857802\pi\) |
0.555969 | + | 0.831203i | \(0.312347\pi\) | |||||||
\(152\) | −1.13226 | − | 0.332461i | −0.0918383 | − | 0.0269662i | ||||
\(153\) | −0.830461 | − | 5.77599i | −0.0671388 | − | 0.466961i | ||||
\(154\) | −0.101438 | + | 2.64619i | −0.00817408 | + | 0.213236i | ||||
\(155\) | −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 | −0.622872 | − | 0.782324i | \(-0.714034\pi\) |
0.999135 | − | 0.0415777i | \(-0.0132384\pi\) | |||||||
\(158\) | −1.80053 | − | 0.258878i | −0.143243 | − | 0.0205952i | ||||
\(159\) | −5.33655 | + | 3.42959i | −0.423216 | + | 0.271984i | ||||
\(160\) | −8.32032 | −0.657779 | ||||||||
\(161\) | 8.21313 | + | 9.67184i | 0.647285 | + | 0.762248i | ||||
\(162\) | −0.945148 | −0.0742579 | ||||||||
\(163\) | 9.93087 | − | 6.38218i | 0.777846 | − | 0.499891i | −0.0904723 | − | 0.995899i | \(-0.528838\pi\) |
0.868318 | + | 0.496008i | \(0.165201\pi\) | |||||||
\(164\) | 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 | \(-0.657558\pi\) |
0.353973 | + | 0.935256i | \(0.384831\pi\) | |||||||
\(168\) | −0.297582 | + | 7.76298i | −0.0229590 | + | 0.598927i | ||||
\(169\) | −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 | \(-0.817567\pi\) |
0.842297 | + | 0.539014i | \(0.181203\pi\) | |||||||
\(174\) | 1.59905 | + | 1.38559i | 0.121224 | + | 0.105041i | ||||
\(175\) | 5.86522 | − | 3.45929i | 0.443369 | − | 0.261498i | ||||
\(176\) | −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 | −0.703101 | − | 0.711090i | \(-0.748202\pi\) |
−0.207042 | + | 0.978332i | \(0.566384\pi\) | |||||||
\(180\) | 0.716114 | − | 1.56807i | 0.0533760 | − | 0.116877i | ||||
\(181\) | −1.74477 | + | 12.1351i | −0.129688 | + | 0.901997i | 0.816262 | + | 0.577682i | \(0.196043\pi\) |
−0.945949 | + | 0.324314i | \(0.894866\pi\) | |||||||
\(182\) | −2.03041 | − | 0.371810i | −0.150504 | − | 0.0275604i | ||||
\(183\) | 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 | ||||
\(189\) | −2.36279 | − | 1.19047i | −0.171868 | − | 0.0865937i | ||||
\(190\) | −0.245787 | − | 0.538199i | −0.0178313 | − | 0.0390451i | ||||
\(191\) | 6.41247 | − | 5.55644i | 0.463990 | − | 0.402050i | −0.391248 | − | 0.920285i | \(-0.627956\pi\) |
0.855238 | + | 0.518236i | \(0.173411\pi\) | |||||||
\(192\) | −6.10941 | + | 0.878401i | −0.440909 | + | 0.0633931i | ||||
\(193\) | −5.66336 | − | 1.66291i | −0.407657 | − | 0.119699i | 0.0714735 | − | 0.997442i | \(-0.477230\pi\) |
−0.479131 | + | 0.877744i | \(0.659048\pi\) | |||||||
\(194\) | 3.10330 | − | 3.58140i | 0.222804 | − | 0.257129i | ||||
\(195\) | 1.08167 | + | 0.695148i | 0.0774601 | + | 0.0497806i | ||||
\(196\) | −3.74818 | + | 6.77975i | −0.267727 | + | 0.484268i | ||||
\(197\) | −0.684320 | + | 0.789748i | −0.0487558 | + | 0.0562672i | −0.779604 | − | 0.626273i | \(-0.784579\pi\) |
0.730848 | + | 0.682540i | \(0.239125\pi\) | |||||||
\(198\) | 0.281986 | − | 0.960357i | 0.0200399 | − | 0.0682496i | ||||
\(199\) | −3.13182 | − | 21.7823i | −0.222009 | − | 1.54410i | −0.730426 | − | 0.682992i | \(-0.760678\pi\) |
0.508417 | − | 0.861111i | \(-0.330231\pi\) | |||||||
\(200\) | 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 | ||||
\(203\) | 2.25228 | + | 5.47795i | 0.158079 | + | 0.384476i | ||||
\(204\) | 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 | ||||
\(210\) | −3.03928 | + | 2.43613i | −0.209731 | + | 0.168109i | ||||
\(211\) | 2.24439 | − | 4.91453i | 0.154510 | − | 0.338330i | −0.816509 | − | 0.577333i | \(-0.804093\pi\) |
0.971019 | + | 0.239003i | \(0.0768206\pi\) | |||||||
\(212\) | −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 | ||||
\(217\) | −16.2641 | + | 1.70556i | −1.10408 | + | 0.115781i | ||||
\(218\) | −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 | \(-0.497223\pi\) |
0.991025 | + | 0.133675i | \(0.0426777\pi\) | |||||||
\(224\) | −13.3975 | − | 4.49806i | −0.895158 | − | 0.300539i | ||||
\(225\) | −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 | −0.953227 | − | 0.302254i | \(-0.902261\pi\) |
0.999770 | − | 0.0214552i | \(-0.00682994\pi\) | |||||||
\(228\) | 0.240460 | + | 0.374162i | 0.0159248 | + | 0.0247795i | ||||
\(229\) | −20.9952 | −1.38740 | −0.693702 | − | 0.720262i | \(-0.744022\pi\) | ||||
−0.693702 | + | 0.720262i | \(0.744022\pi\) | |||||||
\(230\) | −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 | −0.912068 | − | 0.410038i | \(-0.865515\pi\) |
0.990644 | − | 0.136470i | \(-0.0435756\pi\) | |||||||
\(234\) | 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 | ||||
\(238\) | −11.9645 | − | 8.35353i | −0.775541 | − | 0.541479i | ||||
\(239\) | −1.78705 | − | 0.524725i | −0.115595 | − | 0.0339416i | 0.223424 | − | 0.974721i | \(-0.428277\pi\) |
−0.339018 | + | 0.940780i | \(0.610095\pi\) | |||||||
\(240\) | −0.661394 | − | 0.573101i | −0.0426928 | − | 0.0369935i | ||||
\(241\) | 7.83054 | + | 5.03239i | 0.504410 | + | 0.324164i | 0.767978 | − | 0.640476i | \(-0.221263\pi\) |
−0.263568 | + | 0.964641i | \(0.584899\pi\) | |||||||
\(242\) | −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 | ||||
\(245\) | −10.6664 | + | 2.26198i | −0.681451 | + | 0.144513i | ||||
\(246\) | 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 | \(-0.635887\pi\) |
0.655991 | + | 0.754769i | \(0.272251\pi\) | |||||||
\(252\) | 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 | \(-0.401520\pi\) |
−0.520482 | + | 0.853873i | \(0.674248\pi\) | |||||||
\(258\) | 10.9737 | − | 3.22217i | 0.683193 | − | 0.200604i | ||||
\(259\) | 9.14397 | − | 27.2353i | 0.568178 | − | 1.69232i | ||||
\(260\) | −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 | 0.443238 | − | 0.896404i | \(-0.353829\pi\) |
−0.824200 | + | 0.566299i | \(0.808375\pi\) | |||||||
\(264\) | 2.61587 | + | 1.68112i | 0.160996 | + | 0.103466i | ||||
\(265\) | 5.34213 | − | 8.31251i | 0.328164 | − | 0.510634i | ||||
\(266\) | −0.104814 | − | 0.999492i | −0.00642653 | − | 0.0612828i | ||||
\(267\) | −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 | \(-0.879063\pi\) |
0.234919 | + | 0.972015i | \(0.424518\pi\) | |||||||
\(270\) | 1.33918 | − | 0.611581i | 0.0814997 | − | 0.0372197i | ||||
\(271\) | −7.95208 | − | 27.0823i | −0.483055 | − | 1.64513i | −0.735502 | − | 0.677523i | \(-0.763054\pi\) |
0.252447 | − | 0.967611i | \(-0.418765\pi\) | |||||||
\(272\) | 1.36195 | − | 2.98226i | 0.0825805 | − | 0.180826i | ||||
\(273\) | 1.36592 | + | 1.70410i | 0.0826692 | + | 0.103137i | ||||
\(274\) | −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 | ||||
\(280\) | −4.60159 | − | 11.1919i | −0.274997 | − | 0.668844i | ||||
\(281\) | −4.63731 | − | 15.7932i | −0.276639 | − | 0.942145i | −0.974213 | − | 0.225632i | \(-0.927555\pi\) |
0.697574 | − | 0.716513i | \(-0.254263\pi\) | |||||||
\(282\) | −1.87073 | − | 4.09633i | −0.111400 | − | 0.243933i | ||||
\(283\) | −7.64541 | − | 8.82328i | −0.454473 | − | 0.524489i | 0.481555 | − | 0.876416i | \(-0.340072\pi\) |
−0.936028 | + | 0.351926i | \(0.885527\pi\) | |||||||
\(284\) | 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 | ||||
\(287\) | 8.01851 | + | 31.7626i | 0.473318 | + | 1.87489i | ||||
\(288\) | 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 | \(-0.00711036\pi\) |
−0.671578 | + | 0.740934i | \(0.734383\pi\) | |||||||
\(294\) | −6.21090 | + | 2.27962i | −0.362227 | + | 0.132950i | ||||
\(295\) | 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 | ||||||
\(301\) | 31.4919 | + | 5.76682i | 1.81516 | + | 0.332394i | ||||
\(302\) | 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 | \(-0.386775\pi\) |
0.598242 | + | 0.801316i | \(0.295866\pi\) | |||||||
\(308\) | 1.57525 | + | 2.67083i | 0.0897580 | + | 0.152184i | ||||
\(309\) | 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 | \(-0.904559\pi\) |
0.665554 | + | 0.746350i | \(0.268195\pi\) | |||||||
\(312\) | −1.58724 | + | 1.83178i | −0.0898601 | + | 0.103704i | ||||
\(313\) | −15.5101 | − | 4.55417i | −0.876682 | − | 0.257417i | −0.187727 | − | 0.982221i | \(-0.560112\pi\) |
−0.688955 | + | 0.724804i | \(0.741930\pi\) | |||||||
\(314\) | 1.52654 | + | 10.6174i | 0.0861479 | + | 0.599172i | ||||
\(315\) | 4.11815 | + | 0.157863i | 0.232032 | + | 0.00889457i | ||||
\(316\) | −1.93748 | + | 0.884819i | −0.108992 | + | 0.0497750i | ||||
\(317\) | 6.01183 | − | 1.76523i | 0.337658 | − | 0.0991453i | −0.108508 | − | 0.994096i | \(-0.534607\pi\) |
0.446166 | + | 0.894950i | \(0.352789\pi\) | |||||||
\(318\) | 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 | ||||||||
\(322\) | −11.4725 | − | 3.49338i | −0.639338 | − | 0.194679i | ||||
\(323\) | −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 | ||||
\(329\) | 0.482878 | − | 12.5968i | 0.0266219 | − | 0.694482i | ||||
\(330\) | 0.221878 | + | 1.54319i | 0.0122140 | + | 0.0849499i | ||||
\(331\) | 15.7091 | + | 4.61261i | 0.863450 | + | 0.253532i | 0.683327 | − | 0.730112i | \(-0.260532\pi\) |
0.180123 | + | 0.983644i | \(0.442350\pi\) | |||||||
\(332\) | 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 | ||||
\(336\) | −0.755161 | − | 1.28037i | −0.0411974 | − | 0.0698501i | ||||
\(337\) | −16.1093 | + | 2.31616i | −0.877527 | + | 0.126169i | −0.566332 | − | 0.824177i | \(-0.691638\pi\) |
−0.311195 | + | 0.950346i | \(0.600729\pi\) | |||||||
\(338\) | 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 | ||||
\(343\) | −18.3980 | − | 2.12411i | −0.993401 | − | 0.114691i | ||||
\(344\) | 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 | 0.298876 | − | 0.954292i | \(-0.403388\pi\) |
0.992212 | + | 0.124560i | \(0.0397520\pi\) | |||||||
\(348\) | 2.45228 | + | 0.352584i | 0.131456 | + | 0.0189005i | ||||
\(349\) | −13.4413 | − | 6.13842i | −0.719495 | − | 0.328582i | 0.0217995 | − | 0.999762i | \(-0.493060\pi\) |
−0.741294 | + | 0.671180i | \(0.765788\pi\) | |||||||
\(350\) | −2.89584 | + | 5.74756i | −0.154789 | + | 0.307220i | ||||
\(351\) | −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 | \(-0.548596\pi\) |
0.132539 | + | 0.991178i | \(0.457687\pi\) | |||||||
\(354\) | 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 | ||||
\(357\) | 3.77903 | + | 14.9693i | 0.200007 | + | 0.792261i | ||||
\(358\) | 7.85495 | − | 9.06510i | 0.415147 | − | 0.479105i | ||||
\(359\) | −3.14912 | + | 10.7249i | −0.166204 | + | 0.566040i | 0.833700 | + | 0.552217i | \(0.186218\pi\) |
−0.999904 | + | 0.0138224i | \(0.995600\pi\) | |||||||
\(360\) | 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 | ||||
\(364\) | −2.23541 | + | 0.919097i | −0.117167 | + | 0.0481738i | ||||
\(365\) | 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 | \(-0.700529\pi\) | ||||
−0.589129 | + | 0.808039i | \(0.700529\pi\) | |||||||
\(368\) | 0.307753 | − | 2.67684i | 0.0160427 | − | 0.139540i | ||||
\(369\) | − | 12.3818i | − | 0.644569i | ||||||
\(370\) | 8.64287 | + | 13.4486i | 0.449321 | + | 0.699158i | ||||
\(371\) | 13.0958 | − | 10.4969i | 0.679901 | − | 0.544973i | ||||
\(372\) | −2.84162 | + | 6.22228i | −0.147331 | + | 0.322610i | ||||
\(373\) | 4.36112 | + | 14.8526i | 0.225810 | + | 0.769039i | 0.991979 | + | 0.126400i | \(0.0403422\pi\) |
−0.766169 | + | 0.642639i | \(0.777840\pi\) | |||||||
\(374\) | −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 | ||||
\(378\) | 2.48699 | − | 0.260803i | 0.127917 | − | 0.0134142i | ||||
\(379\) | 17.5830 | − | 27.3597i | 0.903178 | − | 1.40537i | −0.0109469 | − | 0.999940i | \(-0.503485\pi\) |
0.914125 | − | 0.405432i | \(-0.132879\pi\) | |||||||
\(380\) | −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 | −0.785562 | − | 0.618783i | \(-0.787626\pi\) |
0.579410 | − | 0.815036i | \(-0.303283\pi\) | |||||||
\(384\) | −3.66496 | + | 3.17570i | −0.187027 | + | 0.162059i | ||||
\(385\) | −1.38906 | + | 4.13732i | −0.0707930 | + | 0.210857i | ||||
\(386\) | 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 | 0.905527 | + | 0.424288i | \(0.139476\pi\) |
0.00977633 | + | 0.999952i | \(0.496888\pi\) | |||||||
\(390\) | −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 | \(-0.560219\pi\) |
0.619115 | + | 0.785300i | \(0.287491\pi\) | |||||||
\(398\) | 13.6206 | + | 15.7190i | 0.682737 | + | 0.787920i | ||||
\(399\) | −0.608704 | + | 0.871825i | −0.0304733 | + | 0.0436459i | ||||
\(400\) | −1.38743 | − | 0.407385i | −0.0693714 | − | 0.0203693i | ||||
\(401\) | −9.16429 | − | 7.94090i | −0.457643 | − | 0.396550i | 0.395302 | − | 0.918551i | \(-0.370640\pi\) |
−0.852944 | + | 0.522002i | \(0.825185\pi\) | |||||||
\(402\) | −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 | ||||
\(406\) | −4.58996 | − | 3.20468i | −0.227796 | − | 0.159046i | ||||
\(407\) | −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 | 0.664329 | + | 0.747440i | \(0.268717\pi\) |
−0.154772 | + | 0.987950i | \(0.549464\pi\) | |||||||
\(410\) | −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 | \(-0.696912\pi\) |
−0.0474000 | + | 0.998876i | \(0.515094\pi\) | |||||||
\(420\) | −1.45164 | + | 4.32370i | −0.0708326 | + | 0.210975i | ||||
\(421\) | −12.7382 | + | 11.0377i | −0.620821 | + | 0.537945i | −0.907484 | − | 0.420087i | \(-0.862000\pi\) |
0.286662 | + | 0.958032i | \(0.407454\pi\) | |||||||
\(422\) | 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 | ||||
\(427\) | −2.16818 | − | 20.6755i | −0.104925 | − | 1.00056i | ||||
\(428\) | 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 | −0.0465795 | − | 0.998915i | \(-0.514832\pi\) |
0.724426 | + | 0.689352i | \(0.242105\pi\) | |||||||
\(432\) | 0.158288 | + | 0.539079i | 0.00761562 | + | 0.0259364i | ||||
\(433\) | 2.32761 | − | 5.09675i | 0.111858 | − | 0.244934i | −0.845421 | − | 0.534100i | \(-0.820651\pi\) |
0.957279 | + | 0.289166i | \(0.0933779\pi\) | |||||||
\(434\) | 12.0602 | − | 9.66683i | 0.578909 | − | 0.464023i | ||||
\(435\) | 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 | \(-0.0500808\pi\) |
−0.552810 | + | 0.833307i | \(0.686444\pi\) | |||||||
\(440\) | −4.79423 | − | 0.689306i | −0.228556 | − | 0.0328614i | ||||
\(441\) | 6.54577 | + | 2.48051i | 0.311703 | + | 0.118120i | ||||
\(442\) | −1.28263 | − | 4.36825i | −0.0610087 | − | 0.207776i | ||||
\(443\) | −7.40727 | − | 16.2197i | −0.351930 | − | 0.770619i | −0.999959 | − | 0.00900374i | \(-0.997134\pi\) |
0.648030 | − | 0.761615i | \(-0.275593\pi\) | |||||||
\(444\) | −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 | ||||
\(448\) | 15.8334 | − | 3.99718i | 0.748060 | − | 0.188849i | ||||
\(449\) | 0.197321 | + | 0.126811i | 0.00931216 | + | 0.00598456i | 0.545289 | − | 0.838248i | \(-0.316420\pi\) |
−0.535976 | + | 0.844233i | \(0.680056\pi\) | |||||||
\(450\) | 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 | ||||
\(455\) | −3.03805 | − | 1.53068i | −0.142426 | − | 0.0717596i | ||||
\(456\) | −1.07342 | − | 0.490214i | −0.0502675 | − | 0.0229564i | ||||
\(457\) | 12.0197 | + | 1.72818i | 0.562260 | + | 0.0808408i | 0.417584 | − | 0.908638i | \(-0.362877\pi\) |
0.144676 | + | 0.989479i | \(0.453786\pi\) | |||||||
\(458\) | 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 | \(0.653817\pi\) | |||||||
\(462\) | −0.476997 | + | 2.60482i | −0.0221919 | + | 0.121187i | ||||
\(463\) | 3.10829 | − | 21.6186i | 0.144455 | − | 1.00470i | −0.780644 | − | 0.624976i | \(-0.785109\pi\) |
0.925098 | − | 0.379727i | \(-0.123982\pi\) | |||||||
\(464\) | 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 | \(-0.206826\pi\) |
−0.712154 | + | 0.702023i | \(0.752280\pi\) | |||||||
\(468\) | 0.904235 | − | 0.130009i | 0.0417983 | − | 0.00600968i | ||||
\(469\) | −1.95073 | − | 3.30746i | −0.0900763 | − | 0.152724i | ||||
\(470\) | 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 | ||||
\(476\) | −17.0737 | − | 0.654494i | −0.782571 | − | 0.0299987i | ||||
\(477\) | −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 | −0.109398 | − | 0.993998i | \(-0.534892\pi\) |
0.822854 | − | 0.568253i | \(-0.192380\pi\) | |||||||
\(480\) | −8.23563 | − | 1.18410i | −0.375903 | − | 0.0540467i | ||||
\(481\) | 7.54050 | − | 4.84599i | 0.343817 | − | 0.220958i | ||||
\(482\) | −8.79762 | −0.400720 | ||||||||
\(483\) | 6.75308 | + | 10.7422i | 0.307276 | + | 0.488789i | ||||
\(484\) | −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 | −0.653165 | − | 0.757216i | \(-0.726559\pi\) |
0.999997 | − | 0.00224146i | \(-0.000713479\pi\) | |||||||
\(488\) | 22.1372 | − | 6.50007i | 1.00210 | − | 0.294244i | ||||
\(489\) | 10.7381 | − | 4.90391i | 0.485592 | − | 0.221763i | ||||
\(490\) | 7.32511 | − | 7.24890i | 0.330915 | − | 0.327472i | ||||
\(491\) | −2.53481 | − | 17.6300i | −0.114394 | − | 0.795631i | −0.963558 | − | 0.267500i | \(-0.913802\pi\) |
0.849163 | − | 0.528130i | \(-0.177107\pi\) | |||||||
\(492\) | 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 | ||||
\(497\) | −23.1469 | + | 13.6520i | −1.03828 | + | 0.612375i | ||||
\(498\) | 4.29864 | − | 0.618051i | 0.192627 | − | 0.0276955i | ||||
\(499\) | 26.8542 | + | 30.9914i | 1.20216 | + | 1.38737i | 0.901015 | + | 0.433788i | \(0.142823\pi\) |
0.301145 | + | 0.953578i | \(0.402631\pi\) | |||||||
\(500\) | 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 | 0.873063 | + | 0.487607i | \(0.162130\pi\) |
−0.975073 | + | 0.221885i | \(0.928779\pi\) | |||||||
\(504\) | −1.39934 | + | 7.64162i | −0.0623316 | + | 0.340385i | ||||
\(505\) | − | 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 | \(-0.628205\pi\) |
−0.635278 | + | 0.772283i | \(0.719115\pi\) | |||||||
\(510\) | −7.81461 | − | 3.56881i | −0.346037 | − | 0.158030i | ||||
\(511\) | 35.9032 | + | 18.0894i | 1.58826 | + | 0.800228i | ||||
\(512\) | 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 | ||||
\(518\) | 6.64642 | + | 26.3275i | 0.292027 | + | 1.15676i | ||||
\(519\) | 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 | \(-0.00397920\pi\) |
−0.962940 | + | 0.269716i | \(0.913070\pi\) | |||||||
\(522\) | 1.38559 | + | 1.59905i | 0.0606455 | + | 0.0699886i | ||||
\(523\) | −17.4852 | − | 38.2872i | −0.764573 | − | 1.67418i | −0.738250 | − | 0.674528i | \(-0.764347\pi\) |
−0.0263233 | − | 0.999653i | \(-0.508380\pi\) | |||||||
\(524\) | −4.53811 | − | 15.4554i | −0.198248 | − | 0.675171i | ||||
\(525\) | 6.29783 | − | 2.58938i | 0.274860 | − | 0.113010i | ||||
\(526\) | 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 | ||||
\(532\) | −0.735973 | − | 0.918190i | −0.0319085 | − | 0.0398086i | ||||
\(533\) | −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 | ||||
\(539\) | −4.47337 | + | 5.91103i | −0.192682 | + | 0.254606i | ||||
\(540\) | 0.931985 | − | 1.45020i | 0.0401062 | − | 0.0624065i | ||||
\(541\) | 10.3918 | + | 6.67843i | 0.446780 | + | 0.287128i | 0.744621 | − | 0.667487i | \(-0.232630\pi\) |
−0.297841 | + | 0.954615i | \(0.596267\pi\) | |||||||
\(542\) | 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 | ||||
\(546\) | −1.95683 | − | 0.656983i | −0.0837445 | − | 0.0281163i | ||||
\(547\) | −29.7768 | + | 8.74325i | −1.27316 | + | 0.373834i | −0.847378 | − | 0.530990i | \(-0.821820\pi\) |
−0.425785 | + | 0.904824i | \(0.640002\pi\) | |||||||
\(548\) | −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 | 0.982762 | − | 0.184877i | \(-0.0591886\pi\) |
−0.926704 | + | 0.375793i | \(0.877370\pi\) | |||||||
\(558\) | −5.31400 | + | 2.42682i | −0.224960 | + | 0.102736i | ||||
\(559\) | 6.54120 | + | 7.54894i | 0.276663 | + | 0.319286i | ||||
\(560\) | 1.89848 | + | 1.32551i | 0.0802255 | + | 0.0560130i | ||||
\(561\) | 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 | \(-0.179406\pi\) |
−0.134810 | + | 0.990872i | \(0.543042\pi\) | |||||||
\(564\) | −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 | ||||
\(567\) | −2.16932 | − | 1.51461i | −0.0911030 | − | 0.0636076i | ||||
\(568\) | −19.5305 | − | 22.5394i | −0.819482 | − | 0.945733i | ||||
\(569\) | −32.2668 | + | 14.7357i | −1.35269 | + | 0.617755i | −0.954132 | − | 0.299387i | \(-0.903218\pi\) |
−0.398562 | + | 0.917141i | \(0.630491\pi\) | |||||||
\(570\) | −0.166692 | − | 0.567700i | −0.00698196 | − | 0.0237784i | ||||
\(571\) | 7.45264 | + | 3.40351i | 0.311883 | + | 0.142432i | 0.565207 | − | 0.824949i | \(-0.308796\pi\) |
−0.253323 | + | 0.967382i | \(0.581524\pi\) | |||||||
\(572\) | −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 | \(-0.0270083\pi\) |
−0.491009 | + | 0.871154i | \(0.663372\pi\) | |||||||
\(578\) | 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 | ||||
\(581\) | 11.5247 | + | 3.86929i | 0.478125 | + | 0.160525i | ||||
\(582\) | 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 | \(-0.869291\pi\) |
0.743997 | + | 0.668183i | \(0.232928\pi\) | |||||||
\(588\) | −4.67489 | + | 6.17732i | −0.192789 | + | 0.254748i | ||||
\(589\) | 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 | −0.857774 | − | 0.514026i | \(-0.828153\pi\) |
0.443702 | − | 0.896174i | \(-0.353665\pi\) | |||||||
\(594\) | 0.415789 | − | 0.910452i | 0.0170600 | − | 0.0373563i | ||||
\(595\) | −15.0408 | − | 18.7647i | −0.616611 | − | 0.769276i | ||||
\(596\) | 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 | \(-0.317880\pi\) |
0.282642 | + | 0.959226i | \(0.408789\pi\) | |||||||
\(602\) | −27.9862 | + | 11.5066i | −1.14063 | + | 0.468976i | ||||
\(603\) | 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 | \(-0.962110\pi\) |
0.899504 | + | 0.436913i | \(0.143928\pi\) | |||||||
\(608\) | 1.40580 | − | 1.62237i | 0.0570125 | − | 0.0657960i | ||||
\(609\) | 1.44976 | + | 5.74272i | 0.0587472 | + | 0.232707i | ||||
\(610\) | 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 | 0.0227921 | − | 0.999740i | \(-0.492744\pi\) |
0.303528 | + | 0.952822i | \(0.401835\pi\) | |||||||
\(614\) | −11.9676 | + | 10.3700i | −0.482974 | + | 0.418499i | ||||
\(615\) | 8.01193 | + | 17.5437i | 0.323072 | + | 0.707429i | ||||
\(616\) | −7.34709 | − | 3.70175i | −0.296023 | − | 0.149148i | ||||
\(617\) | 6.69526 | + | 3.05762i | 0.269541 | + | 0.123095i | 0.545601 | − | 0.838045i | \(-0.316302\pi\) |
−0.276060 | + | 0.961140i | \(0.589029\pi\) | |||||||
\(618\) | −1.23364 | − | 0.177371i | −0.0496243 | − | 0.00713490i | ||||
\(619\) | 9.08408 | − | 5.83799i | 0.365120 | − | 0.234648i | −0.345197 | − | 0.938530i | \(-0.612188\pi\) |
0.710317 | + | 0.703882i | \(0.248552\pi\) | |||||||
\(620\) | − | 10.6551i | − | 0.427917i | ||||||
\(621\) | −1.48096 | − | 4.56144i | −0.0594289 | − | 0.183044i | ||||
\(622\) | − | 8.93544i | − | 0.358278i | ||||||
\(623\) | 4.21175 | − | 22.9998i | 0.168740 | − | 0.921467i | ||||
\(624\) | 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 | ||||
\(630\) | −3.35505 | + | 1.97880i | −0.133668 | + | 0.0788372i | ||||
\(631\) | −5.78062 | − | 5.00893i | −0.230123 | − | 0.199403i | 0.532165 | − | 0.846641i | \(-0.321379\pi\) |
−0.762288 | + | 0.647238i | \(0.775924\pi\) | |||||||
\(632\) | 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 | ||||
\(637\) | −4.06440 | − | 4.10713i | −0.161037 | − | 0.162731i | ||||
\(638\) | −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 | −0.0106122 | − | 0.999944i | \(-0.503378\pi\) |
−0.291899 | + | 0.956449i | \(0.594287\pi\) | |||||||
\(642\) | 10.7019 | − | 6.87768i | 0.422370 | − | 0.271441i | ||||
\(643\) | 20.4973 | 0.808336 | 0.404168 | − | 0.914685i | \(-0.367561\pi\) | ||||
0.404168 | + | 0.914685i | \(0.367561\pi\) | |||||||
\(644\) | −13.5124 | + | 3.82152i | −0.532462 | + | 0.150589i | ||||
\(645\) | 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 | \(-0.384559\pi\) |
0.0769937 | + | 0.997032i | \(0.475468\pi\) | |||||||
\(648\) | 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 | ||||
\(651\) | −16.3413 | − | 0.626418i | −0.640465 | − | 0.0245512i | ||||
\(652\) | 1.85925 | + | 12.9314i | 0.0728140 | + | 0.506432i | ||||
\(653\) | −3.94998 | − | 1.15982i | −0.154575 | − | 0.0453873i | 0.203530 | − | 0.979069i | \(-0.434759\pi\) |
−0.358104 | + | 0.933682i | \(0.616577\pi\) | |||||||
\(654\) | −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 | ||||
\(658\) | 6.05283 | + | 10.2626i | 0.235964 | + | 0.400076i | ||||
\(659\) | −43.3481 | + | 6.23251i | −1.68860 | + | 0.242784i | −0.918580 | − | 0.395235i | \(-0.870663\pi\) |
−0.770021 | + | 0.638019i | \(0.779754\pi\) | |||||||
\(660\) | 1.19547 | + | 1.37965i | 0.0465338 | + | 0.0537028i | ||||
\(661\) | 5.83023 | + | 12.7664i | 0.226770 | + | 0.496556i | 0.988478 | − | 0.151364i | \(-0.0483665\pi\) |
−0.761709 | + | 0.647920i | \(0.775639\pi\) | |||||||
\(662\) | −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 | ||||
\(665\) | 0.298334 | − | 1.62916i | 0.0115689 | − | 0.0631762i | ||||
\(666\) | − | 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 | ||||
\(672\) | −12.6210 | − | 6.35894i | −0.486865 | − | 0.245301i | ||||
\(673\) | 14.1249 | + | 30.9292i | 0.544475 | + | 1.19223i | 0.959314 | + | 0.282340i | \(0.0911106\pi\) |
−0.414839 | + | 0.909895i | \(0.636162\pi\) | |||||||
\(674\) | 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 | \(-0.989572\pi\) |
0.174659 | + | 0.984629i | \(0.444118\pi\) | |||||||
\(678\) | −5.63927 | − | 3.62414i | −0.216575 | − | 0.139184i | ||||
\(679\) | 12.8620 | − | 3.24703i | 0.493597 | − | 0.124609i | ||||
\(680\) | 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 | 0.962749 | − | 0.270396i | \(-0.0871547\pi\) |
−0.404658 | + | 0.914468i | \(0.632609\pi\) | |||||||
\(684\) | 0.184763 | + | 0.404575i | 0.00706460 | + | 0.0154693i | ||||
\(685\) | −5.99121 | − | 20.4042i | −0.228912 | − | 0.779603i | ||||
\(686\) | 15.7138 | − | 7.71224i | 0.599958 | − | 0.294455i | ||||
\(687\) | −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 | ||||
\(693\) | 2.18620 | − | 1.75234i | 0.0830470 | − | 0.0665661i | ||||
\(694\) | −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 | ||||
\(700\) | 0.785956 | + | 7.49480i | 0.0297064 | + | 0.283277i | ||||
\(701\) | −5.36738 | + | 8.35180i | −0.202723 | + | 0.315443i | −0.927698 | − | 0.373332i | \(-0.878215\pi\) |
0.724975 | + | 0.688776i | \(0.241851\pi\) | |||||||
\(702\) | 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 | ||||
\(707\) | 10.6716 | − | 31.7855i | 0.401348 | − | 1.19542i | ||||
\(708\) | 6.08095 | − | 1.78553i | 0.228536 | − | 0.0671043i | ||||
\(709\) | −23.8029 | − | 10.8704i | −0.893938 | − | 0.408248i | −0.0851639 | − | 0.996367i | \(-0.527141\pi\) |
−0.808774 | + | 0.588119i | \(0.799869\pi\) | |||||||
\(710\) | 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 | \(-0.723431\pi\) |
0.154249 | + | 0.988032i | \(0.450704\pi\) | |||||||
\(720\) | −0.573101 | − | 0.661394i | −0.0213582 | − | 0.0246487i | ||||
\(721\) | −2.86059 | − | 1.99725i | −0.106534 | − | 0.0743815i | ||||
\(722\) | −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 | \(-0.497982\pi\) |
−0.535298 | + | 0.844663i | \(0.679801\pi\) | |||||||
\(728\) | 3.67110 | − | 5.25798i | 0.136060 | − | 0.194874i | ||||
\(729\) | 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 | \(-0.974086\pi\) |
0.979226 | + | 0.202771i | \(0.0649947\pi\) | |||||||
\(734\) | 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 | −0.999998 | − | 0.00200802i | \(-0.999361\pi\) |
0.960057 | + | 0.279805i | \(0.0902699\pi\) | |||||||
\(740\) | 17.0272 | + | 7.77605i | 0.625932 | + | 0.285853i | ||||
\(741\) | −0.318305 | + | 0.0934628i | −0.0116932 | + | 0.00343344i | ||||
\(742\) | −5.04883 | + | 15.0380i | −0.185348 | + | 0.552061i | ||||
\(743\) | −12.0410 | + | 10.4336i | −0.441742 | + | 0.382771i | −0.847141 | − | 0.531368i | \(-0.821678\pi\) |
0.405399 | + | 0.914140i | \(0.367133\pi\) | |||||||
\(744\) | −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 | ||||
\(749\) | 35.4167 | − | 3.71403i | 1.29410 | − | 0.135708i | ||||
\(750\) | −3.14136 | + | 10.6985i | −0.114706 | + | 0.390653i | ||||
\(751\) | 5.83277 | − | 0.838625i | 0.212841 | − | 0.0306019i | −0.0350695 | − | 0.999385i | \(-0.511165\pi\) |
0.247910 | + | 0.968783i | \(0.420256\pi\) | |||||||
\(752\) | −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 | ||||
\(756\) | 2.28469 | − | 1.83129i | 0.0830933 | − | 0.0666032i | ||||
\(757\) | −4.03001 | − | 6.27082i | −0.146473 | − | 0.227917i | 0.760263 | − | 0.649616i | \(-0.225070\pi\) |
−0.906736 | + | 0.421699i | \(0.861434\pi\) | |||||||
\(758\) | 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 | −0.979760 | − | 0.200177i | \(-0.935848\pi\) |
0.224920 | − | 0.974377i | \(-0.427788\pi\) | |||||||
\(762\) | −16.9019 | − | 2.43013i | −0.612292 | − | 0.0880343i | ||||
\(763\) | −19.8137 | + | 8.14646i | −0.717303 | + | 0.294922i | ||||
\(764\) | 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 | 0.0701469 | − | 0.997537i | \(-0.477653\pi\) |
0.977400 | − | 0.211397i | \(-0.0678013\pi\) | |||||||
\(770\) | −1.00966 | − | 3.99941i | −0.0363855 | − | 0.144129i | ||||
\(771\) | −3.20260 | − | 2.05819i | −0.115339 | − | 0.0741238i | ||||
\(772\) | 4.27769 | − | 4.93671i | 0.153957 | − | 0.177676i |