Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(10,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
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("483.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bf (of order \(66\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 145.20 | ||
Character | \(\chi\) | \(=\) | 483.145 |
Dual form | 483.2.bf.a.10.20 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{19}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.114790 | + | 0.331663i | 0.0811686 | + | 0.234521i | 0.978282 | − | 0.207280i | \(-0.0664610\pi\) |
−0.897113 | + | 0.441801i | \(0.854340\pi\) | |||||||
\(3\) | 0.458227 | − | 0.888835i | 0.264557 | − | 0.513169i | ||||
\(4\) | 1.47528 | − | 1.16017i | 0.737641 | − | 0.580087i | ||||
\(5\) | 0.530378 | + | 0.0506450i | 0.237192 | + | 0.0226491i | 0.212975 | − | 0.977058i | \(-0.431685\pi\) |
0.0242172 | + | 0.999707i | \(0.492291\pi\) | |||||||
\(6\) | 0.347394 | + | 0.0499477i | 0.141823 | + | 0.0203911i | ||||
\(7\) | 0.390363 | + | 2.61680i | 0.147543 | + | 0.989056i | ||||
\(8\) | 1.14464 | + | 0.735614i | 0.404690 | + | 0.260079i | ||||
\(9\) | −0.580057 | − | 0.814576i | −0.193352 | − | 0.271525i | ||||
\(10\) | 0.0440849 | + | 0.181721i | 0.0139409 | + | 0.0574651i | ||||
\(11\) | 3.27701 | + | 1.13418i | 0.988055 | + | 0.341969i | 0.772842 | − | 0.634598i | \(-0.218834\pi\) |
0.215213 | + | 0.976567i | \(0.430956\pi\) | |||||||
\(12\) | −0.355191 | − | 1.84291i | −0.102535 | − | 0.532001i | ||||
\(13\) | −1.53444 | + | 5.22581i | −0.425576 | + | 1.44938i | 0.416061 | + | 0.909337i | \(0.363410\pi\) |
−0.841638 | + | 0.540043i | \(0.818408\pi\) | |||||||
\(14\) | −0.823085 | + | 0.429850i | −0.219979 | + | 0.114882i | ||||
\(15\) | 0.288049 | − | 0.448212i | 0.0743738 | − | 0.115728i | ||||
\(16\) | 0.772372 | − | 3.18376i | 0.193093 | − | 0.795940i | ||||
\(17\) | 4.87255 | − | 1.95068i | 1.18177 | − | 0.473108i | 0.304222 | − | 0.952601i | \(-0.401604\pi\) |
0.877546 | + | 0.479493i | \(0.159179\pi\) | |||||||
\(18\) | 0.203580 | − | 0.285888i | 0.0479843 | − | 0.0673846i | ||||
\(19\) | −0.705211 | − | 0.282324i | −0.161787 | − | 0.0647695i | 0.289356 | − | 0.957222i | \(-0.406559\pi\) |
−0.451142 | + | 0.892452i | \(0.648983\pi\) | |||||||
\(20\) | 0.841215 | − | 0.540616i | 0.188101 | − | 0.120885i | ||||
\(21\) | 2.50478 | + | 0.852116i | 0.546587 | + | 0.185947i | ||||
\(22\) | 1.21706i | 0.259477i | ||||||||
\(23\) | −3.61209 | − | 3.15480i | −0.753174 | − | 0.657822i | ||||
\(24\) | 1.17834 | − | 0.680317i | 0.240528 | − | 0.138869i | ||||
\(25\) | −4.63091 | − | 0.892534i | −0.926181 | − | 0.178507i | ||||
\(26\) | −1.90935 | + | 0.0909534i | −0.374454 | + | 0.0178374i | ||||
\(27\) | −0.989821 | + | 0.142315i | −0.190491 | + | 0.0273885i | ||||
\(28\) | 3.61184 | + | 3.40762i | 0.682573 | + | 0.643980i | ||||
\(29\) | 1.32102 | − | 9.18791i | 0.245308 | − | 1.70615i | −0.379351 | − | 0.925253i | \(-0.623853\pi\) |
0.624658 | − | 0.780898i | \(-0.285238\pi\) | |||||||
\(30\) | 0.181721 | + | 0.0440849i | 0.0331775 | + | 0.00804877i | ||||
\(31\) | −5.85279 | − | 0.278803i | −1.05119 | − | 0.0500745i | −0.485134 | − | 0.874440i | \(-0.661229\pi\) |
−0.566058 | + | 0.824365i | \(0.691532\pi\) | |||||||
\(32\) | 3.85354 | − | 0.367969i | 0.681216 | − | 0.0650483i | ||||
\(33\) | 2.50971 | − | 2.39301i | 0.436885 | − | 0.416569i | ||||
\(34\) | 1.20629 | + | 1.39213i | 0.206876 | + | 0.238748i | ||||
\(35\) | 0.0745126 | + | 1.40766i | 0.0125949 | + | 0.237938i | ||||
\(36\) | −1.80080 | − | 0.528762i | −0.300133 | − | 0.0881270i | ||||
\(37\) | 1.19470 | − | 0.850745i | 0.196408 | − | 0.139862i | −0.477622 | − | 0.878565i | \(-0.658501\pi\) |
0.674030 | + | 0.738704i | \(0.264562\pi\) | |||||||
\(38\) | 0.0126855 | − | 0.266300i | 0.00205785 | − | 0.0431996i | ||||
\(39\) | 3.94177 | + | 3.75847i | 0.631188 | + | 0.601836i | ||||
\(40\) | 0.569836 | + | 0.448124i | 0.0900990 | + | 0.0708546i | ||||
\(41\) | −0.252330 | + | 0.115235i | −0.0394074 | + | 0.0179967i | −0.435021 | − | 0.900420i | \(-0.643259\pi\) |
0.395614 | + | 0.918417i | \(0.370532\pi\) | |||||||
\(42\) | 0.00490688 | + | 0.928556i | 0.000757149 | + | 0.143279i | ||||
\(43\) | −1.75952 | − | 2.73787i | −0.268325 | − | 0.417521i | 0.680777 | − | 0.732490i | \(-0.261642\pi\) |
−0.949102 | + | 0.314969i | \(0.898006\pi\) | |||||||
\(44\) | 6.15036 | − | 2.12866i | 0.927202 | − | 0.320908i | ||||
\(45\) | −0.266395 | − | 0.461411i | −0.0397119 | − | 0.0687830i | ||||
\(46\) | 0.631700 | − | 1.56014i | 0.0931391 | − | 0.230030i | ||||
\(47\) | 3.80333 | + | 2.19586i | 0.554773 | + | 0.320298i | 0.751045 | − | 0.660251i | \(-0.229550\pi\) |
−0.196272 | + | 0.980550i | \(0.562883\pi\) | |||||||
\(48\) | −2.47592 | − | 2.14540i | −0.357368 | − | 0.309661i | ||||
\(49\) | −6.69523 | + | 2.04300i | −0.956462 | + | 0.291857i | ||||
\(50\) | −0.235560 | − | 1.63836i | −0.0333132 | − | 0.231698i | ||||
\(51\) | 0.498903 | − | 5.22475i | 0.0698604 | − | 0.731611i | ||||
\(52\) | 3.79913 | + | 9.48976i | 0.526844 | + | 1.31599i | ||||
\(53\) | −7.74517 | + | 8.12290i | −1.06388 | + | 1.11577i | −0.0709016 | + | 0.997483i | \(0.522588\pi\) |
−0.992980 | + | 0.118283i | \(0.962261\pi\) | |||||||
\(54\) | −0.160822 | − | 0.311951i | −0.0218851 | − | 0.0424512i | ||||
\(55\) | 1.68061 | + | 0.767511i | 0.226614 | + | 0.103491i | ||||
\(56\) | −1.47813 | + | 3.28244i | −0.197523 | + | 0.438634i | ||||
\(57\) | −0.574086 | + | 0.497448i | −0.0760395 | + | 0.0658886i | ||||
\(58\) | 3.19893 | − | 0.616543i | 0.420040 | − | 0.0809561i | ||||
\(59\) | 1.78232 | − | 0.432385i | 0.232038 | − | 0.0562918i | −0.118054 | − | 0.993007i | \(-0.537666\pi\) |
0.350092 | + | 0.936715i | \(0.386150\pi\) | |||||||
\(60\) | −0.0950517 | − | 0.995426i | −0.0122711 | − | 0.128509i | ||||
\(61\) | −6.19347 | + | 3.19296i | −0.792993 | + | 0.408816i | −0.806605 | − | 0.591091i | \(-0.798697\pi\) |
0.0136119 | + | 0.999907i | \(0.495667\pi\) | |||||||
\(62\) | −0.579372 | − | 1.97316i | −0.0735803 | − | 0.250591i | ||||
\(63\) | 1.90515 | − | 1.83587i | 0.240026 | − | 0.231298i | ||||
\(64\) | −2.15750 | − | 4.72427i | −0.269688 | − | 0.590534i | ||||
\(65\) | −1.07849 | + | 2.69395i | −0.133771 | + | 0.334143i | ||||
\(66\) | 1.08176 | + | 0.557687i | 0.133156 | + | 0.0686465i | ||||
\(67\) | 0.663668 | − | 3.44344i | 0.0810800 | − | 0.420683i | −0.918595 | − | 0.395200i | \(-0.870675\pi\) |
0.999675 | − | 0.0254832i | \(-0.00811243\pi\) | |||||||
\(68\) | 4.92527 | − | 8.53081i | 0.597276 | − | 1.03451i | ||||
\(69\) | −4.45926 | + | 1.76494i | −0.536831 | + | 0.212474i | ||||
\(70\) | −0.458316 | + | 0.186298i | −0.0547793 | + | 0.0222669i | ||||
\(71\) | −4.66663 | + | 5.38558i | −0.553827 | + | 0.639150i | −0.961770 | − | 0.273857i | \(-0.911701\pi\) |
0.407944 | + | 0.913007i | \(0.366246\pi\) | |||||||
\(72\) | −0.0647415 | − | 1.35909i | −0.00762986 | − | 0.160171i | ||||
\(73\) | 9.94741 | + | 12.6492i | 1.16426 | + | 1.48047i | 0.846570 | + | 0.532277i | \(0.178663\pi\) |
0.317686 | + | 0.948196i | \(0.397094\pi\) | |||||||
\(74\) | 0.419301 | + | 0.298583i | 0.0487427 | + | 0.0347095i | ||||
\(75\) | −2.91532 | + | 3.70713i | −0.336632 | + | 0.428063i | ||||
\(76\) | −1.36793 | + | 0.401661i | −0.156912 | + | 0.0460736i | ||||
\(77\) | −1.68870 | + | 9.01800i | −0.192446 | + | 1.02770i | ||||
\(78\) | −0.794071 | + | 1.73877i | −0.0899108 | + | 0.196877i | ||||
\(79\) | 8.92525 | + | 9.36053i | 1.00417 | + | 1.05314i | 0.998586 | + | 0.0531573i | \(0.0169285\pi\) |
0.00558245 | + | 0.999984i | \(0.498223\pi\) | |||||||
\(80\) | 0.570891 | − | 1.64948i | 0.0638276 | − | 0.184418i | ||||
\(81\) | −0.327068 | + | 0.945001i | −0.0363409 | + | 0.105000i | ||||
\(82\) | −0.0671843 | − | 0.0704608i | −0.00741926 | − | 0.00778110i | ||||
\(83\) | −1.76265 | + | 3.85967i | −0.193476 | + | 0.423654i | −0.981362 | − | 0.192167i | \(-0.938448\pi\) |
0.787886 | + | 0.615821i | \(0.211176\pi\) | |||||||
\(84\) | 4.68385 | − | 1.64886i | 0.511050 | − | 0.179906i | ||||
\(85\) | 2.68309 | − | 0.787826i | 0.291022 | − | 0.0854517i | ||||
\(86\) | 0.706076 | − | 0.897848i | 0.0761381 | − | 0.0968175i | ||||
\(87\) | −7.56121 | − | 5.38431i | −0.810647 | − | 0.577259i | ||||
\(88\) | 2.91667 | + | 3.70884i | 0.310918 | + | 0.395364i | ||||
\(89\) | −0.703445 | − | 14.7671i | −0.0745650 | − | 1.56531i | −0.657916 | − | 0.753092i | \(-0.728562\pi\) |
0.583351 | − | 0.812221i | \(-0.301741\pi\) | |||||||
\(90\) | 0.122453 | − | 0.141319i | 0.0129077 | − | 0.0148963i | ||||
\(91\) | −14.2739 | − | 1.97534i | −1.49631 | − | 0.207072i | ||||
\(92\) | −8.98898 | − | 0.463561i | −0.937166 | − | 0.0483296i | ||||
\(93\) | −2.92971 | + | 5.07441i | −0.303797 | + | 0.526192i | ||||
\(94\) | −0.291701 | + | 1.51349i | −0.0300866 | + | 0.156104i | ||||
\(95\) | −0.359730 | − | 0.185454i | −0.0369076 | − | 0.0190272i | ||||
\(96\) | 1.43873 | − | 3.59378i | 0.146840 | − | 0.366788i | ||||
\(97\) | −1.63139 | − | 3.57223i | −0.165642 | − | 0.362705i | 0.808550 | − | 0.588428i | \(-0.200253\pi\) |
−0.974192 | + | 0.225723i | \(0.927526\pi\) | |||||||
\(98\) | −1.44613 | − | 1.98605i | −0.146081 | − | 0.200621i | ||||
\(99\) | −0.976973 | − | 3.32726i | −0.0981894 | − | 0.334403i | ||||
\(100\) | −7.86739 | + | 4.05592i | −0.786739 | + | 0.405592i | ||||
\(101\) | 0.211669 | + | 2.21670i | 0.0210619 | + | 0.220570i | 0.999875 | + | 0.0158141i | \(0.00503400\pi\) |
−0.978813 | + | 0.204756i | \(0.934360\pi\) | |||||||
\(102\) | 1.79013 | − | 0.434280i | 0.177249 | − | 0.0430001i | ||||
\(103\) | −8.02221 | + | 1.54615i | −0.790452 | + | 0.152347i | −0.568470 | − | 0.822704i | \(-0.692465\pi\) |
−0.221982 | + | 0.975051i | \(0.571253\pi\) | |||||||
\(104\) | −5.60055 | + | 4.85291i | −0.549179 | + | 0.475867i | ||||
\(105\) | 1.28532 | + | 0.578798i | 0.125435 | + | 0.0564849i | ||||
\(106\) | −3.58313 | − | 1.63636i | −0.348025 | − | 0.158938i | ||||
\(107\) | −4.43166 | − | 8.59622i | −0.428425 | − | 0.831028i | −0.999945 | − | 0.0104403i | \(-0.996677\pi\) |
0.571521 | − | 0.820588i | \(-0.306354\pi\) | |||||||
\(108\) | −1.29516 | + | 1.35832i | −0.124626 | + | 0.130704i | ||||
\(109\) | −7.50906 | − | 18.7567i | −0.719238 | − | 1.79657i | −0.594036 | − | 0.804438i | \(-0.702467\pi\) |
−0.125202 | − | 0.992131i | \(-0.539958\pi\) | |||||||
\(110\) | −0.0616378 | + | 0.645500i | −0.00587693 | + | 0.0615460i | ||||
\(111\) | −0.208727 | − | 1.45173i | −0.0198115 | − | 0.137792i | ||||
\(112\) | 8.63276 | + | 0.778316i | 0.815719 | + | 0.0735440i | ||||
\(113\) | −0.671344 | − | 0.581723i | −0.0631547 | − | 0.0547239i | 0.622712 | − | 0.782452i | \(-0.286031\pi\) |
−0.685866 | + | 0.727728i | \(0.740576\pi\) | |||||||
\(114\) | −0.230884 | − | 0.133301i | −0.0216243 | − | 0.0124848i | ||||
\(115\) | −1.75600 | − | 1.85617i | −0.163748 | − | 0.173089i | ||||
\(116\) | −8.71070 | − | 15.0874i | −0.808768 | − | 1.40083i | ||||
\(117\) | 5.14688 | − | 1.78135i | 0.475829 | − | 0.164686i | ||||
\(118\) | 0.347998 | + | 0.541495i | 0.0320358 | + | 0.0498487i | ||||
\(119\) | 7.00658 | + | 11.9890i | 0.642293 | + | 1.09903i | ||||
\(120\) | 0.659422 | − | 0.301148i | 0.0601967 | − | 0.0274909i | ||||
\(121\) | 0.805827 | + | 0.633709i | 0.0732570 | + | 0.0576100i | ||||
\(122\) | −1.76993 | − | 1.68763i | −0.160242 | − | 0.152791i | ||||
\(123\) | −0.0131991 | + | 0.277084i | −0.00119013 | + | 0.0249838i | ||||
\(124\) | −8.95798 | + | 6.37895i | −0.804450 | + | 0.572846i | ||||
\(125\) | −4.96698 | − | 1.45844i | −0.444260 | − | 0.130446i | ||||
\(126\) | 0.827582 | + | 0.421127i | 0.0737268 | + | 0.0375170i | ||||
\(127\) | −0.326715 | − | 0.377049i | −0.0289913 | − | 0.0334577i | 0.741069 | − | 0.671429i | \(-0.234319\pi\) |
−0.770060 | + | 0.637971i | \(0.779774\pi\) | |||||||
\(128\) | 6.92246 | − | 6.60055i | 0.611864 | − | 0.583412i | ||||
\(129\) | −3.23978 | + | 0.309361i | −0.285246 | + | 0.0272377i | ||||
\(130\) | −1.01728 | − | 0.0484591i | −0.0892216 | − | 0.00425015i | ||||
\(131\) | −5.81404 | − | 1.41047i | −0.507975 | − | 0.123233i | −0.0264229 | − | 0.999651i | \(-0.508412\pi\) |
−0.481552 | + | 0.876417i | \(0.659927\pi\) | |||||||
\(132\) | 0.926230 | − | 6.44207i | 0.0806180 | − | 0.560710i | ||||
\(133\) | 0.463495 | − | 1.95560i | 0.0401901 | − | 0.169572i | ||||
\(134\) | 1.21824 | − | 0.175157i | 0.105240 | − | 0.0151313i | ||||
\(135\) | −0.532187 | + | 0.0253512i | −0.0458034 | + | 0.00218189i | ||||
\(136\) | 7.01225 | + | 1.35150i | 0.601296 | + | 0.115890i | ||||
\(137\) | 10.3862 | − | 5.99650i | 0.887356 | − | 0.512315i | 0.0142795 | − | 0.999898i | \(-0.495455\pi\) |
0.873077 | + | 0.487583i | \(0.162121\pi\) | |||||||
\(138\) | −1.09724 | − | 1.27637i | −0.0934036 | − | 0.108652i | ||||
\(139\) | 23.2258i | 1.96999i | 0.172594 | + | 0.984993i | \(0.444785\pi\) | ||||
−0.172594 | + | 0.984993i | \(0.555215\pi\) | |||||||
\(140\) | 1.74306 | + | 1.99025i | 0.147316 | + | 0.168207i | ||||
\(141\) | 3.69454 | − | 2.37434i | 0.311137 | − | 0.199955i | ||||
\(142\) | −2.32188 | − | 0.929540i | −0.194848 | − | 0.0780052i | ||||
\(143\) | −10.9554 | + | 15.3847i | −0.916136 | + | 1.28653i | ||||
\(144\) | −3.04144 | + | 1.21761i | −0.253453 | + | 0.101467i | ||||
\(145\) | 1.16596 | − | 4.80616i | 0.0968279 | − | 0.399130i | ||||
\(146\) | −3.05340 | + | 4.75118i | −0.252701 | + | 0.393211i | ||||
\(147\) | −1.25204 | + | 6.88712i | −0.103267 | + | 0.568040i | ||||
\(148\) | 0.775513 | − | 2.64116i | 0.0637468 | − | 0.217102i | ||||
\(149\) | 0.297862 | + | 1.54545i | 0.0244018 | + | 0.126609i | 0.992087 | − | 0.125553i | \(-0.0400706\pi\) |
−0.967685 | + | 0.252162i | \(0.918858\pi\) | |||||||
\(150\) | −1.56417 | − | 0.541364i | −0.127714 | − | 0.0442022i | ||||
\(151\) | 0.382541 | + | 1.57685i | 0.0311307 | + | 0.128323i | 0.985257 | − | 0.171083i | \(-0.0547267\pi\) |
−0.954126 | + | 0.299406i | \(0.903212\pi\) | |||||||
\(152\) | −0.599530 | − | 0.841921i | −0.0486283 | − | 0.0682888i | ||||
\(153\) | −4.41533 | − | 2.83756i | −0.356958 | − | 0.229403i | ||||
\(154\) | −3.18479 | + | 0.475094i | −0.256637 | + | 0.0382841i | ||||
\(155\) | −3.09007 | − | 0.444286i | −0.248201 | − | 0.0356859i | ||||
\(156\) | 10.1757 | + | 0.971661i | 0.814708 | + | 0.0777952i | ||||
\(157\) | 12.3247 | − | 9.69228i | 0.983621 | − | 0.773528i | 0.00959255 | − | 0.999954i | \(-0.496947\pi\) |
0.974028 | + | 0.226426i | \(0.0727041\pi\) | |||||||
\(158\) | −2.08002 | + | 4.03467i | −0.165477 | + | 0.320981i | ||||
\(159\) | 3.67088 | + | 10.6063i | 0.291120 | + | 0.841136i | ||||
\(160\) | 2.06247 | 0.163053 | ||||||||
\(161\) | 6.84544 | − | 10.6836i | 0.539496 | − | 0.841988i | ||||
\(162\) | −0.350966 | −0.0275745 | ||||||||
\(163\) | 5.40712 | + | 15.6228i | 0.423518 | + | 1.22368i | 0.931954 | + | 0.362576i | \(0.118103\pi\) |
−0.508436 | + | 0.861100i | \(0.669776\pi\) | |||||||
\(164\) | −0.238565 | + | 0.462752i | −0.0186288 | + | 0.0361349i | ||||
\(165\) | 1.45229 | − | 1.14210i | 0.113061 | − | 0.0889120i | ||||
\(166\) | −1.48245 | − | 0.141556i | −0.115060 | − | 0.0109869i | ||||
\(167\) | −18.4168 | − | 2.64793i | −1.42513 | − | 0.204903i | −0.613787 | − | 0.789471i | \(-0.710355\pi\) |
−0.811345 | + | 0.584568i | \(0.801264\pi\) | |||||||
\(168\) | 2.24023 | + | 2.81791i | 0.172838 | + | 0.217407i | ||||
\(169\) | −14.0183 | − | 9.00902i | −1.07833 | − | 0.693002i | ||||
\(170\) | 0.569284 | + | 0.799447i | 0.0436621 | + | 0.0613148i | ||||
\(171\) | 0.179088 | + | 0.738212i | 0.0136952 | + | 0.0564525i | ||||
\(172\) | −5.77220 | − | 1.99778i | −0.440126 | − | 0.152329i | ||||
\(173\) | 2.50130 | + | 12.9780i | 0.190170 | + | 0.986696i | 0.944080 | + | 0.329718i | \(0.106954\pi\) |
−0.753909 | + | 0.656978i | \(0.771834\pi\) | |||||||
\(174\) | 0.917829 | − | 3.12584i | 0.0695804 | − | 0.236969i | ||||
\(175\) | 0.527843 | − | 12.4665i | 0.0399012 | − | 0.942382i | ||||
\(176\) | 6.14204 | − | 9.55720i | 0.462974 | − | 0.720401i | ||||
\(177\) | 0.432385 | − | 1.78232i | 0.0325001 | − | 0.133967i | ||||
\(178\) | 4.81696 | − | 1.92842i | 0.361047 | − | 0.144541i | ||||
\(179\) | 9.29145 | − | 13.0480i | 0.694476 | − | 0.975255i | −0.305260 | − | 0.952269i | \(-0.598743\pi\) |
0.999736 | − | 0.0229857i | \(-0.00731722\pi\) | |||||||
\(180\) | −0.928325 | − | 0.371645i | −0.0691933 | − | 0.0277008i | ||||
\(181\) | −16.7320 | + | 10.7530i | −1.24368 | + | 0.799266i | −0.985965 | − | 0.166955i | \(-0.946607\pi\) |
−0.257717 | + | 0.966220i | \(0.582970\pi\) | |||||||
\(182\) | −0.983345 | − | 4.96086i | −0.0728904 | − | 0.367724i | ||||
\(183\) | 6.96808i | 0.515095i | ||||||||
\(184\) | −1.81382 | − | 6.26821i | −0.133717 | − | 0.462099i | ||||
\(185\) | 0.676731 | − | 0.390711i | 0.0497543 | − | 0.0287256i | ||||
\(186\) | −2.01930 | − | 0.389188i | −0.148062 | − | 0.0285366i | ||||
\(187\) | 18.1798 | − | 0.866012i | 1.32944 | − | 0.0633290i | ||||
\(188\) | 8.15857 | − | 1.17302i | 0.595025 | − | 0.0855516i | ||||
\(189\) | −0.758799 | − | 2.53461i | −0.0551945 | − | 0.184365i | ||||
\(190\) | 0.0202149 | − | 0.140598i | 0.00146654 | − | 0.0102000i | ||||
\(191\) | 25.5649 | + | 6.20199i | 1.84981 | + | 0.448760i | 0.997266 | − | 0.0738894i | \(-0.0235412\pi\) |
0.852548 | + | 0.522649i | \(0.175056\pi\) | |||||||
\(192\) | −5.18772 | − | 0.247122i | −0.374392 | − | 0.0178345i | ||||
\(193\) | 5.65812 | − | 0.540285i | 0.407281 | − | 0.0388906i | 0.110594 | − | 0.993866i | \(-0.464725\pi\) |
0.296686 | + | 0.954975i | \(0.404118\pi\) | |||||||
\(194\) | 0.997512 | − | 0.951126i | 0.0716172 | − | 0.0682869i | ||||
\(195\) | 1.90028 | + | 2.19304i | 0.136082 | + | 0.157047i | ||||
\(196\) | −7.50712 | + | 10.7816i | −0.536223 | + | 0.770117i | ||||
\(197\) | −14.3914 | − | 4.22570i | −1.02535 | − | 0.301069i | −0.274529 | − | 0.961579i | \(-0.588522\pi\) |
−0.750817 | + | 0.660510i | \(0.770340\pi\) | |||||||
\(198\) | 0.991384 | − | 0.705962i | 0.0704546 | − | 0.0501705i | ||||
\(199\) | 0.297262 | − | 6.24030i | 0.0210723 | − | 0.442363i | −0.963535 | − | 0.267582i | \(-0.913775\pi\) |
0.984607 | − | 0.174781i | \(-0.0559217\pi\) | |||||||
\(200\) | −4.64415 | − | 4.42819i | −0.328391 | − | 0.313120i | ||||
\(201\) | −2.75654 | − | 2.16777i | −0.194431 | − | 0.152902i | ||||
\(202\) | −0.710901 | + | 0.324658i | −0.0500188 | + | 0.0228428i | ||||
\(203\) | 24.5585 | − | 0.129778i | 1.72367 | − | 0.00910862i | ||||
\(204\) | −5.32560 | − | 8.28680i | −0.372867 | − | 0.580192i | ||||
\(205\) | −0.139667 | + | 0.0483391i | −0.00975474 | + | 0.00337615i | ||||
\(206\) | −1.43367 | − | 2.48319i | −0.0998885 | − | 0.173012i | ||||
\(207\) | −0.474605 | + | 4.77229i | −0.0329873 | + | 0.331697i | ||||
\(208\) | 15.4526 | + | 8.92155i | 1.07144 | + | 0.618598i | ||||
\(209\) | −1.99078 | − | 1.72502i | −0.137705 | − | 0.119322i | ||||
\(210\) | −0.0444242 | + | 0.492735i | −0.00306556 | + | 0.0340019i | ||||
\(211\) | −0.600207 | − | 4.17453i | −0.0413199 | − | 0.287387i | −0.999996 | − | 0.00288603i | \(-0.999081\pi\) |
0.958676 | − | 0.284501i | \(-0.0918277\pi\) | |||||||
\(212\) | −2.00233 | + | 20.9693i | −0.137520 | + | 1.44018i | ||||
\(213\) | 2.64852 | + | 6.61568i | 0.181473 | + | 0.453299i | ||||
\(214\) | 2.34234 | − | 2.45658i | 0.160119 | − | 0.167928i | ||||
\(215\) | −0.794553 | − | 1.54122i | −0.0541881 | − | 0.105110i | ||||
\(216\) | −1.23768 | − | 0.565227i | −0.0842131 | − | 0.0384589i | ||||
\(217\) | −1.55514 | − | 15.4244i | −0.105570 | − | 1.04708i | ||||
\(218\) | 5.35896 | − | 4.64356i | 0.362954 | − | 0.314502i | ||||
\(219\) | 15.8012 | − | 3.04543i | 1.06775 | − | 0.205791i | ||||
\(220\) | 3.36983 | − | 0.817511i | 0.227194 | − | 0.0551166i | ||||
\(221\) | 2.71724 | + | 28.4562i | 0.182781 | + | 1.91417i | ||||
\(222\) | 0.457525 | − | 0.235871i | 0.0307071 | − | 0.0158306i | ||||
\(223\) | 1.53968 | + | 5.24367i | 0.103105 | + | 0.351142i | 0.994845 | − | 0.101405i | \(-0.0323337\pi\) |
−0.891741 | + | 0.452547i | \(0.850516\pi\) | |||||||
\(224\) | 2.46718 | + | 9.94029i | 0.164845 | + | 0.664163i | ||||
\(225\) | 1.95915 | + | 4.28995i | 0.130610 | + | 0.285996i | ||||
\(226\) | 0.115873 | − | 0.289436i | 0.00770773 | − | 0.0192530i | ||||
\(227\) | 5.33661 | + | 2.75121i | 0.354203 | + | 0.182604i | 0.626140 | − | 0.779711i | \(-0.284634\pi\) |
−0.271937 | + | 0.962315i | \(0.587664\pi\) | |||||||
\(228\) | −0.269812 | + | 1.39992i | −0.0178687 | + | 0.0927118i | ||||
\(229\) | −0.328681 | + | 0.569292i | −0.0217198 | + | 0.0376199i | −0.876681 | − | 0.481072i | \(-0.840248\pi\) |
0.854961 | + | 0.518692i | \(0.173581\pi\) | |||||||
\(230\) | 0.414053 | − | 0.795471i | 0.0273019 | − | 0.0524518i | ||||
\(231\) | 7.24171 | + | 5.63327i | 0.476470 | + | 0.370642i | ||||
\(232\) | 8.27084 | − | 9.54506i | 0.543007 | − | 0.626664i | ||||
\(233\) | −0.318463 | − | 6.68537i | −0.0208632 | − | 0.437973i | −0.984999 | − | 0.172562i | \(-0.944795\pi\) |
0.964135 | − | 0.265411i | \(-0.0855076\pi\) | |||||||
\(234\) | 1.18162 | + | 1.50255i | 0.0772448 | + | 0.0982248i | ||||
\(235\) | 1.90600 | + | 1.35725i | 0.124334 | + | 0.0885375i | ||||
\(236\) | 2.12778 | − | 2.70569i | 0.138507 | − | 0.176125i | ||||
\(237\) | 12.4098 | − | 3.64383i | 0.806100 | − | 0.236692i | ||||
\(238\) | −3.17203 | + | 3.70004i | −0.205612 | + | 0.239838i | ||||
\(239\) | −10.3238 | + | 22.6060i | −0.667792 | + | 1.46226i | 0.207287 | + | 0.978280i | \(0.433537\pi\) |
−0.875079 | + | 0.483980i | \(0.839191\pi\) | |||||||
\(240\) | −1.20452 | − | 1.26326i | −0.0777514 | − | 0.0815434i | ||||
\(241\) | 9.41914 | − | 27.2148i | 0.606740 | − | 1.75306i | −0.0497887 | − | 0.998760i | \(-0.515855\pi\) |
0.656529 | − | 0.754301i | \(-0.272024\pi\) | |||||||
\(242\) | −0.117677 | + | 0.340007i | −0.00756459 | + | 0.0218564i | ||||
\(243\) | 0.690079 | + | 0.723734i | 0.0442686 | + | 0.0464276i | ||||
\(244\) | −5.43273 | + | 11.8960i | −0.347795 | + | 0.761565i | ||||
\(245\) | −3.65448 | + | 0.744484i | −0.233476 | + | 0.0475633i | ||||
\(246\) | −0.0934137 | + | 0.0274287i | −0.00595584 | + | 0.00174879i | ||||
\(247\) | 2.55747 | − | 3.25209i | 0.162728 | − | 0.206926i | ||||
\(248\) | −6.49423 | − | 4.62452i | −0.412384 | − | 0.293657i | ||||
\(249\) | 2.62292 | + | 3.33531i | 0.166221 | + | 0.211367i | ||||
\(250\) | −0.0864485 | − | 1.81478i | −0.00546748 | − | 0.114777i | ||||
\(251\) | −2.86758 | + | 3.30936i | −0.181000 | + | 0.208885i | −0.838998 | − | 0.544135i | \(-0.816858\pi\) |
0.657998 | + | 0.753020i | \(0.271404\pi\) | |||||||
\(252\) | 0.680697 | − | 4.91873i | 0.0428799 | − | 0.309851i | ||||
\(253\) | −8.25874 | − | 14.4351i | −0.519223 | − | 0.907526i | ||||
\(254\) | 0.0875498 | − | 0.151641i | 0.00549336 | − | 0.00951478i | ||||
\(255\) | 0.529215 | − | 2.74583i | 0.0331407 | − | 0.171950i | ||||
\(256\) | −6.24874 | − | 3.22145i | −0.390546 | − | 0.201340i | ||||
\(257\) | −1.42374 | + | 3.55633i | −0.0888104 | + | 0.221838i | −0.966123 | − | 0.258081i | \(-0.916910\pi\) |
0.877313 | + | 0.479919i | \(0.159334\pi\) | |||||||
\(258\) | −0.474497 | − | 1.03900i | −0.0295409 | − | 0.0646855i | ||||
\(259\) | 2.69259 | + | 2.79420i | 0.167310 | + | 0.173623i | ||||
\(260\) | 1.53437 | + | 5.22557i | 0.0951574 | + | 0.324076i | ||||
\(261\) | −8.25052 | + | 4.25344i | −0.510694 | + | 0.263281i | ||||
\(262\) | −0.199591 | − | 2.09021i | −0.0123308 | − | 0.129134i | ||||
\(263\) | 10.5700 | − | 2.56426i | 0.651774 | − | 0.158119i | 0.103779 | − | 0.994600i | \(-0.466906\pi\) |
0.547995 | + | 0.836482i | \(0.315391\pi\) | |||||||
\(264\) | 4.63304 | − | 0.892946i | 0.285144 | − | 0.0549570i | ||||
\(265\) | −4.51926 | + | 3.91596i | −0.277616 | + | 0.240555i | ||||
\(266\) | 0.701806 | − | 0.0707587i | 0.0430305 | − | 0.00433849i | ||||
\(267\) | −13.4479 | − | 6.14144i | −0.822997 | − | 0.375850i | ||||
\(268\) | −3.01589 | − | 5.85001i | −0.184225 | − | 0.357346i | ||||
\(269\) | 6.01385 | − | 6.30714i | 0.366671 | − | 0.384553i | −0.514390 | − | 0.857556i | \(-0.671982\pi\) |
0.881061 | + | 0.473003i | \(0.156830\pi\) | |||||||
\(270\) | −0.0694977 | − | 0.173597i | −0.00422950 | − | 0.0105648i | ||||
\(271\) | −1.53637 | + | 16.0896i | −0.0933279 | + | 0.977373i | 0.820602 | + | 0.571501i | \(0.193639\pi\) |
−0.913930 | + | 0.405873i | \(0.866968\pi\) | |||||||
\(272\) | −2.44706 | − | 17.0197i | −0.148375 | − | 1.03197i | ||||
\(273\) | −8.29642 | + | 11.7820i | −0.502122 | + | 0.713077i | ||||
\(274\) | 3.18105 | + | 2.75640i | 0.192174 | + | 0.166520i | ||||
\(275\) | −14.1632 | − | 8.17714i | −0.854075 | − | 0.493100i | ||||
\(276\) | −4.53102 | + | 7.77731i | −0.272735 | + | 0.468139i | ||||
\(277\) | −1.58514 | − | 2.74555i | −0.0952419 | − | 0.164964i | 0.814468 | − | 0.580209i | \(-0.197029\pi\) |
−0.909710 | + | 0.415245i | \(0.863696\pi\) | |||||||
\(278\) | −7.70314 | + | 2.66608i | −0.462004 | + | 0.159901i | ||||
\(279\) | 3.16785 | + | 4.92926i | 0.189654 | + | 0.295107i | ||||
\(280\) | −0.950205 | + | 1.66607i | −0.0567856 | + | 0.0995670i | ||||
\(281\) | 13.0690 | − | 5.96841i | 0.779631 | − | 0.356046i | 0.0144791 | − | 0.999895i | \(-0.495391\pi\) |
0.765152 | + | 0.643850i | \(0.222664\pi\) | |||||||
\(282\) | 1.21158 | + | 0.952794i | 0.0721483 | + | 0.0567381i | ||||
\(283\) | 9.99381 | + | 9.52908i | 0.594071 | + | 0.566445i | 0.926316 | − | 0.376748i | \(-0.122958\pi\) |
−0.332245 | + | 0.943193i | \(0.607806\pi\) | |||||||
\(284\) | −0.636384 | + | 13.3593i | −0.0377625 | + | 0.792731i | ||||
\(285\) | −0.329676 | + | 0.234761i | −0.0195283 | + | 0.0139061i | ||||
\(286\) | −6.36010 | − | 1.86749i | −0.376081 | − | 0.110427i | ||||
\(287\) | −0.400048 | − | 0.615313i | −0.0236141 | − | 0.0363208i | ||||
\(288\) | −2.53501 | − | 2.92556i | −0.149377 | − | 0.172390i | ||||
\(289\) | 7.63316 | − | 7.27820i | 0.449009 | − | 0.428129i | ||||
\(290\) | 1.72787 | − | 0.164991i | 0.101464 | − | 0.00968863i | ||||
\(291\) | −3.92267 | − | 0.186860i | −0.229951 | − | 0.0109539i | ||||
\(292\) | 29.3505 | + | 7.12035i | 1.71761 | + | 0.416687i | ||||
\(293\) | 0.551609 | − | 3.83653i | 0.0322254 | − | 0.224132i | −0.967344 | − | 0.253466i | \(-0.918429\pi\) |
0.999570 | + | 0.0293336i | \(0.00933851\pi\) | |||||||
\(294\) | −2.42792 | + | 0.375314i | −0.141599 | + | 0.0218888i | ||||
\(295\) | 0.967200 | − | 0.139062i | 0.0563126 | − | 0.00809653i | ||||
\(296\) | 1.99332 | − | 0.0949537i | 0.115860 | − | 0.00551907i | ||||
\(297\) | −3.40506 | − | 0.656272i | −0.197582 | − | 0.0380808i | ||||
\(298\) | −0.478379 | + | 0.276192i | −0.0277117 | + | 0.0159994i | ||||
\(299\) | 22.0289 | − | 14.0353i | 1.27397 | − | 0.811681i | ||||
\(300\) | 8.85135i | 0.511033i | ||||||||
\(301\) | 6.47759 | − | 5.67307i | 0.373362 | − | 0.326990i | ||||
\(302\) | −0.479073 | + | 0.307881i | −0.0275675 | + | 0.0177166i | ||||
\(303\) | 2.06728 | + | 0.827612i | 0.118762 | + | 0.0475451i | ||||
\(304\) | −1.44354 | + | 2.02716i | −0.0827925 | + | 0.116266i | ||||
\(305\) | −3.44659 | + | 1.37981i | −0.197351 | + | 0.0790075i | ||||
\(306\) | 0.434280 | − | 1.79013i | 0.0248261 | − | 0.102335i | ||||
\(307\) | 5.88280 | − | 9.15381i | 0.335749 | − | 0.522435i | −0.631796 | − | 0.775135i | \(-0.717682\pi\) |
0.967545 | + | 0.252699i | \(0.0813183\pi\) | |||||||
\(308\) | 7.97115 | + | 15.2633i | 0.454198 | + | 0.869707i | ||||
\(309\) | −2.30171 | + | 7.83892i | −0.130940 | + | 0.445940i | ||||
\(310\) | −0.207356 | − | 1.07586i | −0.0117770 | − | 0.0611049i | ||||
\(311\) | −22.3225 | − | 7.72590i | −1.26579 | − | 0.438096i | −0.390015 | − | 0.920808i | \(-0.627530\pi\) |
−0.875779 | + | 0.482713i | \(0.839651\pi\) | |||||||
\(312\) | 1.74711 | + | 7.20170i | 0.0989108 | + | 0.407716i | ||||
\(313\) | −7.83304 | − | 11.0000i | −0.442750 | − | 0.621755i | 0.531546 | − | 0.847030i | \(-0.321611\pi\) |
−0.974295 | + | 0.225275i | \(0.927672\pi\) | |||||||
\(314\) | 4.62933 | + | 2.97509i | 0.261248 | + | 0.167894i | ||||
\(315\) | 1.10343 | − | 0.877220i | 0.0621710 | − | 0.0494258i | ||||
\(316\) | 24.0271 | + | 3.45458i | 1.35163 | + | 0.194335i | ||||
\(317\) | 24.2428 | + | 2.31491i | 1.36161 | + | 0.130018i | 0.750156 | − | 0.661261i | \(-0.229978\pi\) |
0.611455 | + | 0.791279i | \(0.290584\pi\) | |||||||
\(318\) | −3.09634 | + | 2.43499i | −0.173634 | + | 0.136548i | ||||
\(319\) | 14.7498 | − | 28.6106i | 0.825829 | − | 1.60188i | ||||
\(320\) | −0.905032 | − | 2.61492i | −0.0505928 | − | 0.146178i | ||||
\(321\) | −9.67133 | −0.539801 | ||||||||
\(322\) | 4.32915 | + | 1.04401i | 0.241254 | + | 0.0581804i | ||||
\(323\) | −3.98690 | −0.221837 | ||||||||
\(324\) | 0.613849 | + | 1.77360i | 0.0341027 | + | 0.0985333i | ||||
\(325\) | 11.7700 | − | 22.8307i | 0.652885 | − | 1.26642i | ||||
\(326\) | −4.56084 | + | 3.58669i | −0.252602 | + | 0.198648i | ||||
\(327\) | −20.1125 | − | 1.92051i | −1.11222 | − | 0.106205i | ||||
\(328\) | −0.373596 | − | 0.0537149i | −0.0206284 | − | 0.00296591i | ||||
\(329\) | −4.26142 | + | 10.8097i | −0.234940 | + | 0.595959i | ||||
\(330\) | 0.545499 | + | 0.350571i | 0.0300287 | + | 0.0192983i | ||||
\(331\) | 15.0749 | + | 21.1698i | 0.828593 | + | 1.16360i | 0.984424 | + | 0.175813i | \(0.0562553\pi\) |
−0.155830 | + | 0.987784i | \(0.549805\pi\) | |||||||
\(332\) | 1.87748 | + | 7.73909i | 0.103040 | + | 0.424738i | ||||
\(333\) | −1.38599 | − | 0.479697i | −0.0759520 | − | 0.0262872i | ||||
\(334\) | −1.23583 | − | 6.41212i | −0.0676218 | − | 0.350855i | ||||
\(335\) | 0.526388 | − | 1.79271i | 0.0287597 | − | 0.0979464i | ||||
\(336\) | 4.64755 | − | 7.31645i | 0.253545 | − | 0.399145i | ||||
\(337\) | 4.27370 | − | 6.65001i | 0.232803 | − | 0.362249i | −0.705122 | − | 0.709086i | \(-0.749108\pi\) |
0.937926 | + | 0.346837i | \(0.112744\pi\) | |||||||
\(338\) | 1.37880 | − | 5.68350i | 0.0749970 | − | 0.309142i | ||||
\(339\) | −0.824683 | + | 0.330153i | −0.0447906 | + | 0.0179315i | ||||
\(340\) | 3.04430 | − | 4.27512i | 0.165100 | − | 0.231851i | ||||
\(341\) | −18.8634 | − | 7.55178i | −1.02151 | − | 0.408952i | ||||
\(342\) | −0.224280 | + | 0.144136i | −0.0121277 | + | 0.00779399i | ||||
\(343\) | −7.95969 | − | 16.7225i | −0.429783 | − | 0.902932i | ||||
\(344\) | − | 4.42820i | − | 0.238752i | ||||||
\(345\) | −2.45448 | + | 0.710249i | −0.132145 | + | 0.0382385i | ||||
\(346\) | −4.01719 | + | 2.31933i | −0.215965 | + | 0.124688i | ||||
\(347\) | 14.6153 | + | 2.81687i | 0.784591 | + | 0.151218i | 0.565787 | − | 0.824551i | \(-0.308572\pi\) |
0.218804 | + | 0.975769i | \(0.429784\pi\) | |||||||
\(348\) | −17.4017 | + | 0.828943i | −0.932827 | + | 0.0444360i | ||||
\(349\) | 5.58753 | − | 0.803365i | 0.299093 | − | 0.0430031i | 0.00886554 | − | 0.999961i | \(-0.497178\pi\) |
0.290228 | + | 0.956958i | \(0.406269\pi\) | |||||||
\(350\) | 4.19529 | − | 1.25597i | 0.224247 | − | 0.0671342i | ||||
\(351\) | 0.775108 | − | 5.39099i | 0.0413722 | − | 0.287750i | ||||
\(352\) | 13.0454 | + | 3.16479i | 0.695324 | + | 0.168684i | ||||
\(353\) | −20.0133 | − | 0.953351i | −1.06520 | − | 0.0507418i | −0.492347 | − | 0.870399i | \(-0.663861\pi\) |
−0.572854 | + | 0.819657i | \(0.694164\pi\) | |||||||
\(354\) | 0.640762 | − | 0.0611854i | 0.0340561 | − | 0.00325197i | ||||
\(355\) | −2.74783 | + | 2.62005i | −0.145840 | + | 0.139058i | ||||
\(356\) | −18.1702 | − | 20.9696i | −0.963020 | − | 1.11138i | ||||
\(357\) | 13.8669 | − | 0.734023i | 0.733912 | − | 0.0388486i | ||||
\(358\) | 5.39411 | + | 1.58385i | 0.285088 | + | 0.0837093i | ||||
\(359\) | −26.7748 | + | 19.0662i | −1.41312 | + | 1.00628i | −0.417911 | + | 0.908488i | \(0.637238\pi\) |
−0.995207 | + | 0.0977888i | \(0.968823\pi\) | |||||||
\(360\) | 0.0344937 | − | 0.724112i | 0.00181798 | − | 0.0381640i | ||||
\(361\) | −13.3333 | − | 12.7133i | −0.701754 | − | 0.669121i | ||||
\(362\) | −5.48704 | − | 4.31506i | −0.288393 | − | 0.226794i | ||||
\(363\) | 0.932515 | − | 0.425865i | 0.0489443 | − | 0.0223521i | ||||
\(364\) | −23.3497 | + | 13.6460i | −1.22386 | + | 0.715244i | ||||
\(365\) | 4.63528 | + | 7.21263i | 0.242621 | + | 0.377526i | ||||
\(366\) | −2.31105 | + | 0.799864i | −0.120801 | + | 0.0418095i | ||||
\(367\) | 8.88077 | + | 15.3819i | 0.463573 | + | 0.802931i | 0.999136 | − | 0.0415639i | \(-0.0132340\pi\) |
−0.535563 | + | 0.844495i | \(0.679901\pi\) | |||||||
\(368\) | −12.8340 | + | 9.06337i | −0.669019 | + | 0.472461i | ||||
\(369\) | 0.240234 | + | 0.138699i | 0.0125061 | + | 0.00722039i | ||||
\(370\) | 0.207266 | + | 0.179597i | 0.0107753 | + | 0.00933682i | ||||
\(371\) | −24.2794 | − | 17.0966i | −1.26052 | − | 0.887614i | ||||
\(372\) | 1.56505 | + | 10.8852i | 0.0811441 | + | 0.564370i | ||||
\(373\) | 2.88992 | − | 30.2646i | 0.149634 | − | 1.56704i | −0.539234 | − | 0.842156i | \(-0.681286\pi\) |
0.688868 | − | 0.724886i | \(-0.258108\pi\) | |||||||
\(374\) | 2.37408 | + | 5.93017i | 0.122761 | + | 0.306642i | ||||
\(375\) | −3.57231 | + | 3.74653i | −0.184473 | + | 0.193470i | ||||
\(376\) | 2.73814 | + | 5.31124i | 0.141209 | + | 0.273906i | ||||
\(377\) | 45.9872 | + | 21.0017i | 2.36846 | + | 1.08164i | ||||
\(378\) | 0.753533 | − | 0.542612i | 0.0387576 | − | 0.0279090i | ||||
\(379\) | 10.8858 | − | 9.43262i | 0.559167 | − | 0.484521i | −0.328818 | − | 0.944393i | \(-0.606650\pi\) |
0.887985 | + | 0.459872i | \(0.152105\pi\) | |||||||
\(380\) | −0.745863 | + | 0.143753i | −0.0382620 | + | 0.00737439i | ||||
\(381\) | −0.484844 | + | 0.117622i | −0.0248393 | + | 0.00602595i | ||||
\(382\) | 0.877622 | + | 9.19087i | 0.0449030 | + | 0.470246i | ||||
\(383\) | −4.72603 | + | 2.43644i | −0.241489 | + | 0.124496i | −0.574723 | − | 0.818348i | \(-0.694890\pi\) |
0.333234 | + | 0.942844i | \(0.391860\pi\) | |||||||
\(384\) | −2.69475 | − | 9.17747i | −0.137516 | − | 0.468336i | ||||
\(385\) | −1.35237 | + | 4.69743i | −0.0689231 | + | 0.239403i | ||||
\(386\) | 0.828687 | + | 1.81457i | 0.0421791 | + | 0.0923593i | ||||
\(387\) | −1.20958 | + | 3.02139i | −0.0614864 | + | 0.153586i | ||||
\(388\) | −6.55117 | − | 3.37736i | −0.332585 | − | 0.171460i | ||||
\(389\) | −0.186929 | + | 0.969882i | −0.00947770 | + | 0.0491750i | −0.986360 | − | 0.164604i | \(-0.947365\pi\) |
0.976882 | + | 0.213779i | \(0.0685774\pi\) | |||||||
\(390\) | −0.509218 | + | 0.881992i | −0.0257853 | + | 0.0446614i | ||||
\(391\) | −23.7541 | − | 8.32591i | −1.20130 | − | 0.421059i | ||||
\(392\) | −9.16647 | − | 2.58661i | −0.462977 | − | 0.130644i | ||||
\(393\) | −3.91782 | + | 4.52141i | −0.197628 | + | 0.228075i | ||||
\(394\) | −0.250478 | − | 5.25817i | −0.0126189 | − | 0.264903i | ||||
\(395\) | 4.25969 | + | 5.41664i | 0.214328 | + | 0.272541i | ||||
\(396\) | −5.30152 | − | 3.77519i | −0.266411 | − | 0.189711i | ||||
\(397\) | 6.41321 | − | 8.15506i | 0.321870 | − | 0.409291i | −0.598012 | − | 0.801487i | \(-0.704042\pi\) |
0.919881 | + | 0.392197i | \(0.128285\pi\) | |||||||
\(398\) | 2.10380 | − | 0.617731i | 0.105454 | − | 0.0309641i | ||||
\(399\) | −1.52582 | − | 1.30808i | −0.0763867 | − | 0.0654859i | ||||
\(400\) | −6.41840 | + | 14.0543i | −0.320920 | + | 0.702717i | ||||
\(401\) | −10.8385 | − | 11.3671i | −0.541250 | − | 0.567647i | 0.395134 | − | 0.918623i | \(-0.370698\pi\) |
−0.936384 | + | 0.350977i | \(0.885850\pi\) | |||||||
\(402\) | 0.402546 | − | 1.16308i | 0.0200772 | − | 0.0580091i | ||||
\(403\) | 10.4377 | − | 30.1578i | 0.519939 | − | 1.50227i | ||||
\(404\) | 2.88403 | + | 3.02469i | 0.143486 | + | 0.150484i | ||||
\(405\) | −0.221329 | + | 0.484644i | −0.0109979 | + | 0.0240821i | ||||
\(406\) | 2.86211 | + | 8.13027i | 0.142044 | + | 0.403498i | ||||
\(407\) | 4.87996 | − | 1.43288i | 0.241891 | − | 0.0710255i | ||||
\(408\) | 4.41446 | − | 5.61344i | 0.218548 | − | 0.277907i | ||||
\(409\) | −11.6352 | − | 8.28536i | −0.575322 | − | 0.409685i | 0.255023 | − | 0.966935i | \(-0.417917\pi\) |
−0.830345 | + | 0.557250i | \(0.811856\pi\) | |||||||
\(410\) | −0.0320646 | − | 0.0407735i | −0.00158356 | − | 0.00201366i | ||||
\(411\) | −0.570650 | − | 11.9794i | −0.0281481 | − | 0.590901i | ||||
\(412\) | −10.0412 | + | 11.5882i | −0.494695 | + | 0.570909i | ||||
\(413\) | 1.82721 | + | 4.49517i | 0.0899113 | + | 0.221193i | ||||
\(414\) | −1.63727 | + | 0.390401i | −0.0804676 | + | 0.0191872i | ||||
\(415\) | −1.13035 | + | 1.95782i | −0.0554865 | + | 0.0961055i | ||||
\(416\) | −3.99008 | + | 20.7025i | −0.195630 | + | 1.01502i | ||||
\(417\) | 20.6439 | + | 10.6427i | 1.01094 | + | 0.521174i | ||||
\(418\) | 0.343604 | − | 0.858281i | 0.0168062 | − | 0.0419799i | ||||
\(419\) | 11.7300 | + | 25.6851i | 0.573048 | + | 1.25480i | 0.945158 | + | 0.326612i | \(0.105907\pi\) |
−0.372110 | + | 0.928189i | \(0.621366\pi\) | |||||||
\(420\) | 2.56772 | − | 0.637309i | 0.125292 | − | 0.0310975i | ||||
\(421\) | 7.65441 | + | 26.0685i | 0.373053 | + | 1.27050i | 0.905611 | + | 0.424109i | \(0.139413\pi\) |
−0.532558 | + | 0.846394i | \(0.678769\pi\) | |||||||
\(422\) | 1.31564 | − | 0.678260i | 0.0640444 | − | 0.0330172i | ||||
\(423\) | −0.417459 | − | 4.37182i | −0.0202975 | − | 0.212565i | ||||
\(424\) | −14.8407 | + | 3.60032i | −0.720730 | + | 0.174847i | ||||
\(425\) | −24.3054 | + | 4.68448i | −1.17898 | + | 0.227231i | ||||
\(426\) | −1.89015 | + | 1.63783i | −0.0915783 | + | 0.0793530i | ||||
\(427\) | −10.7730 | − | 14.9606i | −0.521343 | − | 0.723996i | ||||
\(428\) | −16.5111 | − | 7.54035i | −0.798092 | − | 0.364477i | ||||
\(429\) | 8.65441 | + | 16.7872i | 0.417839 | + | 0.810494i | ||||
\(430\) | 0.419959 | − | 0.440440i | 0.0202522 | − | 0.0212399i | ||||
\(431\) | 7.66783 | + | 19.1533i | 0.369347 | + | 0.922583i | 0.990327 | + | 0.138757i | \(0.0443106\pi\) |
−0.620980 | + | 0.783826i | \(0.713265\pi\) | |||||||
\(432\) | −0.311414 | + | 3.26128i | −0.0149829 | + | 0.156908i | ||||
\(433\) | 0.0165654 | + | 0.115215i | 0.000796081 | + | 0.00553686i | 0.990216 | − | 0.139546i | \(-0.0445643\pi\) |
−0.989420 | + | 0.145083i | \(0.953655\pi\) | |||||||
\(434\) | 4.93719 | − | 2.28635i | 0.236993 | − | 0.109748i | ||||
\(435\) | −3.73761 | − | 3.23866i | −0.179205 | − | 0.155282i | ||||
\(436\) | −32.8391 | − | 18.9597i | −1.57271 | − | 0.908003i | ||||
\(437\) | 1.65661 | + | 3.24458i | 0.0792466 | + | 0.155209i | ||||
\(438\) | 2.82387 | + | 4.89109i | 0.134930 | + | 0.233705i | ||||
\(439\) | −21.9213 | + | 7.58702i | −1.04624 | + | 0.362109i | −0.795506 | − | 0.605946i | \(-0.792795\pi\) |
−0.250739 | + | 0.968055i | \(0.580674\pi\) | |||||||
\(440\) | 1.35910 | + | 2.11480i | 0.0647926 | + | 0.100819i | ||||
\(441\) | 5.54780 | + | 4.26872i | 0.264181 | + | 0.203272i | ||||
\(442\) | −9.12597 | + | 4.16769i | −0.434078 | + | 0.198237i | ||||
\(443\) | 18.5309 | + | 14.5729i | 0.880430 | + | 0.692378i | 0.952342 | − | 0.305033i | \(-0.0986676\pi\) |
−0.0719119 | + | 0.997411i | \(0.522910\pi\) | |||||||
\(444\) | −1.99219 | − | 1.89955i | −0.0945452 | − | 0.0901487i | ||||
\(445\) | 0.374789 | − | 7.86779i | 0.0177667 | − | 0.372969i | ||||
\(446\) | −1.56239 | + | 1.11257i | −0.0739814 | + | 0.0526819i | ||||
\(447\) | 1.51014 | + | 0.443418i | 0.0714273 | + | 0.0209729i | ||||
\(448\) | 11.5202 | − | 7.48992i | 0.544280 | − | 0.353866i | ||||
\(449\) | 16.5723 | + | 19.1254i | 0.782094 | + | 0.902585i | 0.997259 | − | 0.0739928i | \(-0.0235742\pi\) |
−0.215164 | + | 0.976578i | \(0.569029\pi\) | |||||||
\(450\) | −1.19793 | + | 1.14222i | −0.0564708 | + | 0.0538448i | ||||
\(451\) | −0.957587 | + | 0.0914385i | −0.0450910 | + | 0.00430567i | ||||
\(452\) | −1.66532 | − | 0.0793291i | −0.0783301 | − | 0.00373132i | ||||
\(453\) | 1.57685 | + | 0.382541i | 0.0740871 | + | 0.0179733i | ||||
\(454\) | −0.299888 | + | 2.08577i | −0.0140744 | + | 0.0978899i | ||||
\(455\) | −7.47051 | − | 1.77058i | −0.350223 | − | 0.0830060i | ||||
\(456\) | −1.02305 | + | 0.147092i | −0.0479087 | + | 0.00688823i | ||||
\(457\) | −25.2203 | + | 1.20139i | −1.17976 | + | 0.0561987i | −0.628276 | − | 0.777990i | \(-0.716239\pi\) |
−0.551479 | + | 0.834189i | \(0.685936\pi\) | |||||||
\(458\) | −0.226542 | − | 0.0436624i | −0.0105856 | − | 0.00204021i | ||||
\(459\) | −4.54535 | + | 2.62426i | −0.212159 | + | 0.122490i | ||||
\(460\) | −4.74408 | − | 0.701110i | −0.221194 | − | 0.0326894i | ||||
\(461\) | − | 32.8550i | − | 1.53021i | −0.643905 | − | 0.765105i | \(-0.722687\pi\) | ||
0.643905 | − | 0.765105i | \(-0.277313\pi\) | |||||||
\(462\) | −1.03707 | + | 3.04845i | −0.0482490 | + | 0.141827i | ||||
\(463\) | −12.0060 | + | 7.71582i | −0.557968 | + | 0.358585i | −0.789030 | − | 0.614355i | \(-0.789416\pi\) |
0.231062 | + | 0.972939i | \(0.425780\pi\) | |||||||
\(464\) | −28.2318 | − | 11.3023i | −1.31063 | − | 0.524696i | ||||
\(465\) | −1.81085 | + | 2.54298i | −0.0839762 | + | 0.117928i | ||||
\(466\) | 2.18073 | − | 0.873034i | 0.101021 | − | 0.0404425i | ||||
\(467\) | −4.47908 | + | 18.4630i | −0.207267 | + | 0.854366i | 0.769254 | + | 0.638943i | \(0.220628\pi\) |
−0.976521 | + | 0.215423i | \(0.930887\pi\) | |||||||
\(468\) | 5.52642 | − | 8.59928i | 0.255459 | − | 0.397502i | ||||
\(469\) | 9.26984 | + | 0.392492i | 0.428041 | + | 0.0181236i | ||||
\(470\) | −0.231362 | + | 0.787948i | −0.0106719 | + | 0.0363453i | ||||
\(471\) | −2.96732 | − | 15.3959i | −0.136727 | − | 0.709407i | ||||
\(472\) | 2.35817 | + | 0.816172i | 0.108544 | + | 0.0375674i | ||||
\(473\) | −2.66072 | − | 10.9676i | −0.122340 | − | 0.504293i | ||||
\(474\) | 2.63304 | + | 3.69758i | 0.120939 | + | 0.169836i | ||||
\(475\) | 3.01378 | + | 1.93684i | 0.138282 | + | 0.0888683i | ||||
\(476\) | 24.2460 | + | 9.55830i | 1.11131 | + | 0.438104i | ||||
\(477\) | 11.1094 | + | 1.59729i | 0.508663 | + | 0.0731347i | ||||
\(478\) | −8.68264 | − | 0.829092i | −0.397135 | − | 0.0379218i | ||||
\(479\) | 31.4035 | − | 24.6960i | 1.43486 | − | 1.12839i | 0.464836 | − | 0.885397i | \(-0.346113\pi\) |
0.970028 | − | 0.242993i | \(-0.0781293\pi\) | |||||||
\(480\) | 0.945079 | − | 1.83320i | 0.0431367 | − | 0.0836736i | ||||
\(481\) | 2.61264 | + | 7.54871i | 0.119126 | + | 0.344192i | ||||
\(482\) | 10.1074 | 0.460378 | ||||||||
\(483\) | −6.35923 | − | 10.9800i | −0.289355 | − | 0.499607i | ||||
\(484\) | 1.92404 | 0.0874562 | ||||||||
\(485\) | −0.684336 | − | 1.97726i | −0.0310741 | − | 0.0897827i | ||||
\(486\) | −0.160822 | + | 0.311951i | −0.00729503 | + | 0.0141504i | ||||
\(487\) | 3.00668 | − | 2.36448i | 0.136246 | − | 0.107145i | −0.547710 | − | 0.836668i | \(-0.684500\pi\) |
0.683956 | + | 0.729523i | \(0.260258\pi\) | |||||||
\(488\) | −9.43806 | − | 0.901226i | −0.427241 | − | 0.0407966i | ||||
\(489\) | 16.3638 | + | 2.35276i | 0.739998 | + | 0.106396i | ||||
\(490\) | −0.666414 | − | 1.12660i | −0.0301055 | − | 0.0508944i | ||||
\(491\) | −35.3476 | − | 22.7166i | −1.59522 | − | 1.02518i | −0.969487 | − | 0.245144i | \(-0.921165\pi\) |
−0.625730 | − | 0.780039i | \(-0.715199\pi\) | |||||||
\(492\) | 0.301994 | + | 0.424091i | 0.0136149 | + | 0.0191195i | ||||
\(493\) | −11.4859 | − | 47.3454i | −0.517298 | − | 2.13233i | ||||
\(494\) | 1.37217 | + | 0.474913i | 0.0617369 | + | 0.0213673i | ||||
\(495\) | −0.349656 | − | 1.81419i | −0.0157159 | − | 0.0815417i | ||||
\(496\) | −5.40817 | + | 18.4185i | −0.242834 | + | 0.827017i | ||||
\(497\) | −15.9146 | − | 10.1093i | −0.713869 | − | 0.453463i | ||||
\(498\) | −0.805116 | + | 1.25279i | −0.0360781 | + | 0.0561387i | ||||
\(499\) | −1.22473 | + | 5.04840i | −0.0548264 | + | 0.225998i | −0.992633 | − | 0.121161i | \(-0.961338\pi\) |
0.937806 | + | 0.347159i | \(0.112853\pi\) | |||||||
\(500\) | −9.01973 | + | 3.61096i | −0.403375 | + | 0.161487i | ||||
\(501\) | −10.7926 | + | 15.1561i | −0.482179 | + | 0.677125i | ||||
\(502\) | −1.42676 | − | 0.571189i | −0.0636795 | − | 0.0254934i | ||||
\(503\) | 23.4582 | − | 15.0757i | 1.04595 | − | 0.672191i | 0.0994986 | − | 0.995038i | \(-0.468276\pi\) |
0.946451 | + | 0.322846i | \(0.104640\pi\) | |||||||
\(504\) | 3.53119 | − | 0.699955i | 0.157292 | − | 0.0311785i | ||||
\(505\) | 1.18641i | 0.0527946i | ||||||||
\(506\) | 3.83957 | − | 4.39612i | 0.170690 | − | 0.195431i | ||||
\(507\) | −14.4311 | + | 8.33180i | −0.640908 | + | 0.370028i | ||||
\(508\) | −0.919440 | − | 0.177207i | −0.0407935 | − | 0.00786231i | ||||
\(509\) | 2.91727 | − | 0.138967i | 0.129306 | − | 0.00615959i | 0.0171707 | − | 0.999853i | \(-0.494534\pi\) |
0.112135 | + | 0.993693i | \(0.464231\pi\) | |||||||
\(510\) | 0.971438 | − | 0.139672i | 0.0430160 | − | 0.00618477i | ||||
\(511\) | −29.2172 | + | 30.9681i | −1.29249 | + | 1.36995i | ||||
\(512\) | 3.07360 | − | 21.3774i | 0.135835 | − | 0.944756i | ||||
\(513\) | 0.738212 | + | 0.179088i | 0.0325929 | + | 0.00790694i | ||||
\(514\) | −1.34293 | − | 0.0639718i | −0.0592343 | − | 0.00282168i | ||||
\(515\) | −4.33311 | + | 0.413762i | −0.190940 | + | 0.0182325i | ||||
\(516\) | −4.42067 | + | 4.21510i | −0.194609 | + | 0.185559i | ||||
\(517\) | 9.97305 | + | 11.5095i | 0.438614 | + | 0.506188i | ||||
\(518\) | −0.617650 | + | 1.21378i | −0.0271380 | + | 0.0533304i | ||||
\(519\) | 12.6814 | + | 3.72360i | 0.556653 | + | 0.163448i | ||||
\(520\) | −3.21619 | + | 2.29024i | −0.141039 | + | 0.100434i | ||||
\(521\) | −0.173808 | + | 3.64868i | −0.00761466 | + | 0.159851i | 0.991857 | + | 0.127355i | \(0.0406488\pi\) |
−0.999472 | + | 0.0324964i | \(0.989654\pi\) | |||||||
\(522\) | −2.35778 | − | 2.24814i | −0.103197 | − | 0.0983985i | ||||
\(523\) | 1.06866 | + | 0.840404i | 0.0467293 | + | 0.0367483i | 0.641250 | − | 0.767332i | \(-0.278416\pi\) |
−0.594521 | + | 0.804080i | \(0.702658\pi\) | |||||||
\(524\) | −10.2137 | + | 4.66446i | −0.446189 | + | 0.203768i | ||||
\(525\) | −10.8388 | − | 6.18167i | −0.473046 | − | 0.269790i | ||||
\(526\) | 2.06380 | + | 3.21133i | 0.0899858 | + | 0.140021i | ||||
\(527\) | −29.0619 | + | 10.0584i | −1.26596 | + | 0.438151i | ||||
\(528\) | −5.68033 | − | 9.83863i | −0.247205 | − | 0.428171i | ||||
\(529\) | 3.09446 | + | 22.7909i | 0.134542 | + | 0.990908i | ||||
\(530\) | −1.81754 | − | 1.04936i | −0.0789491 | − | 0.0455813i | ||||
\(531\) | −1.38606 | − | 1.20102i | −0.0601497 | − | 0.0521200i | ||||
\(532\) | −1.58505 | − | 3.42280i | −0.0687208 | − | 0.148397i | ||||
\(533\) | −0.215014 | − | 1.49545i | −0.00931327 | − | 0.0647752i | ||||
\(534\) | 0.493211 | − | 5.16514i | 0.0213433 | − | 0.223518i | ||||
\(535\) | −1.91510 | − | 4.78369i | −0.0827970 | − | 0.206817i | ||||
\(536\) | 3.29270 | − | 3.45328i | 0.142223 | − | 0.149159i | ||||
\(537\) | −7.33995 | − | 14.2375i | −0.316742 | − | 0.614394i | ||||
\(538\) | 2.78217 | + | 1.27058i | 0.119948 | + | 0.0547785i | ||||
\(539\) | −24.2575 | − | 0.898693i | −1.04484 | − | 0.0387094i | ||||
\(540\) | −0.755715 | + | 0.654831i | −0.0325208 | + | 0.0281794i | ||||
\(541\) | 5.69833 | − | 1.09826i | 0.244990 | − | 0.0472180i | −0.0652776 | − | 0.997867i | \(-0.520793\pi\) |
0.310268 | + | 0.950649i | \(0.399581\pi\) | |||||||
\(542\) | −5.51269 | + | 1.33736i | −0.236790 | + | 0.0574447i | ||||
\(543\) | 1.89061 | + | 19.7993i | 0.0811337 | + | 0.849671i | ||||
\(544\) | 18.0588 | − | 9.30996i | 0.774264 | − | 0.399161i | ||||
\(545\) | −3.03271 | − | 10.3285i | −0.129907 | − | 0.442423i | ||||
\(546\) | −4.85999 | − | 1.39917i | −0.207988 | − | 0.0598788i | ||||
\(547\) | 11.7675 | + | 25.7673i | 0.503143 | + | 1.10173i | 0.975435 | + | 0.220287i | \(0.0706993\pi\) |
−0.472293 | + | 0.881442i | \(0.656573\pi\) | |||||||
\(548\) | 8.36565 | − | 20.8964i | 0.357363 | − | 0.892649i | ||||
\(549\) | 6.19347 | + | 3.19296i | 0.264331 | + | 0.136272i | ||||
\(550\) | 1.08626 | − | 5.63607i | 0.0463184 | − | 0.240323i | ||||
\(551\) | −3.52556 | + | 6.10646i | −0.150194 | + | 0.260144i | ||||
\(552\) | −6.40255 | − | 1.26007i | −0.272511 | − | 0.0536321i | ||||
\(553\) | −21.0105 | + | 27.0095i | −0.893457 | + | 1.14856i | ||||
\(554\) | 0.728638 | − | 0.840894i | 0.0309569 | − | 0.0357261i | ||||
\(555\) | −0.0371816 | − | 0.780537i | −0.00157827 | − | 0.0331320i | ||||
\(556\) | 26.9460 | + | 34.2646i | 1.14276 | + | 1.45314i | ||||
\(557\) | 27.3818 | + | 19.4985i | 1.16020 | + | 0.826176i | 0.987316 | − | 0.158765i | \(-0.0507513\pi\) |
0.172886 | + | 0.984942i | \(0.444691\pi\) | |||||||
\(558\) | −1.27122 | + | 1.61649i | −0.0538150 | + | 0.0684313i | ||||
\(559\) | 17.0075 | − | 4.99384i | 0.719339 | − | 0.211217i | ||||
\(560\) | 4.53921 | + | 0.850008i | 0.191817 | + | 0.0359194i | ||||
\(561\) | 7.56073 | − | 16.5557i | 0.319214 | − | 0.698982i | ||||
\(562\) | 3.47969 | + | 3.64939i | 0.146782 | + | 0.153940i | ||||
\(563\) | −8.62444 | + | 24.9187i | −0.363477 | + | 1.05020i | 0.603945 | + | 0.797026i | \(0.293595\pi\) |
−0.967422 | + | 0.253171i | \(0.918527\pi\) | |||||||
\(564\) | 2.69585 | − | 7.78913i | 0.113516 | − | 0.327982i | ||||
\(565\) | −0.326605 | − | 0.342533i | −0.0137404 | − | 0.0144105i | ||||
\(566\) | −2.01326 | + | 4.40842i | −0.0846236 | + | 0.185300i | ||||
\(567\) | −2.60055 | − | 0.486976i | −0.109213 | − | 0.0204511i | ||||
\(568\) | −9.30330 | + | 2.73170i | −0.390358 | + | 0.114619i | ||||
\(569\) | 26.7146 | − | 33.9704i | 1.11994 | − | 1.42411i | 0.227020 | − | 0.973890i | \(-0.427102\pi\) |
0.892915 | − | 0.450224i | \(-0.148656\pi\) | |||||||
\(570\) | −0.115705 | − | 0.0823932i | −0.00484635 | − | 0.00345107i | ||||
\(571\) | −6.20281 | − | 7.88752i | −0.259580 | − | 0.330082i | 0.638742 | − | 0.769421i | \(-0.279455\pi\) |
−0.898321 | + | 0.439339i | \(0.855213\pi\) | |||||||
\(572\) | 1.68664 | + | 35.4069i | 0.0705220 | + | 1.48044i | ||||
\(573\) | 17.2271 | − | 19.8811i | 0.719672 | − | 0.830545i | ||||
\(574\) | 0.158155 | − | 0.203313i | 0.00660128 | − | 0.00848611i | ||||
\(575\) | 13.9115 | + | 17.8335i | 0.580150 | + | 0.743709i | ||||
\(576\) | −2.59680 | + | 4.49779i | −0.108200 | + | 0.187408i | ||||
\(577\) | −5.07691 | + | 26.3415i | −0.211355 | + | 1.09661i | 0.708905 | + | 0.705304i | \(0.249189\pi\) |
−0.920260 | + | 0.391308i | \(0.872023\pi\) | |||||||
\(578\) | 3.29012 | + | 1.69617i | 0.136851 | + | 0.0705515i | ||||
\(579\) | 2.11248 | − | 5.27671i | 0.0877916 | − | 0.219293i | ||||
\(580\) | −3.85587 | − | 8.44317i | −0.160106 | − | 0.350584i | ||||
\(581\) | −10.7880 | − | 3.10583i | −0.447564 | − | 0.128851i | ||||
\(582\) | −0.388308 | − | 1.32246i | −0.0160959 | − | 0.0548176i | ||||
\(583\) | −34.5939 | + | 17.8344i | −1.43273 | + | 0.738624i | ||||
\(584\) | 2.08128 | + | 21.7962i | 0.0861240 | + | 0.901932i | ||||
\(585\) | 2.82001 | − | 0.684127i | 0.116593 | − | 0.0282852i | ||||
\(586\) | 1.33575 | − | 0.257445i | 0.0551795 | − | 0.0106350i | ||||
\(587\) | 21.8205 | − | 18.9076i | 0.900629 | − | 0.780400i | −0.0756005 | − | 0.997138i | \(-0.524087\pi\) |
0.976230 | + | 0.216739i | \(0.0695419\pi\) | |||||||
\(588\) | 6.14315 | + | 11.6130i | 0.253339 | + | 0.478913i | ||||
\(589\) | 4.04874 | + | 1.84900i | 0.166825 | + | 0.0761866i | ||||
\(590\) | 0.157147 | + | 0.304822i | 0.00646962 | + | 0.0125493i | ||||
\(591\) | −10.3505 | + | 10.8553i | −0.425762 | + | 0.446526i | ||||
\(592\) | −1.78581 | − | 4.46075i | −0.0733965 | − | 0.183336i | ||||
\(593\) | 1.67755 | − | 17.5681i | 0.0688887 | − | 0.721435i | −0.893374 | − | 0.449314i | \(-0.851669\pi\) |
0.962263 | − | 0.272122i | \(-0.0877253\pi\) | |||||||
\(594\) | −0.173205 | − | 1.20467i | −0.00710669 | − | 0.0494281i | ||||
\(595\) | 3.10896 | + | 6.71356i | 0.127455 | + | 0.275229i | ||||
\(596\) | 2.23243 | + | 1.93441i | 0.0914438 | + | 0.0792365i | ||||
\(597\) | −5.41038 | − | 3.12369i | −0.221432 | − | 0.127844i | ||||
\(598\) | 7.18368 | + | 5.69508i | 0.293763 | + | 0.232889i | ||||
\(599\) | −15.8246 | − | 27.4090i | −0.646576 | − | 1.11990i | −0.983935 | − | 0.178527i | \(-0.942867\pi\) |
0.337359 | − | 0.941376i | \(-0.390466\pi\) | |||||||
\(600\) | −6.06400 | + | 2.09877i | −0.247562 | + | 0.0856820i | ||||
\(601\) | −19.6546 | − | 30.5831i | −0.801726 | − | 1.24751i | −0.965343 | − | 0.260986i | \(-0.915952\pi\) |
0.163616 | − | 0.986524i | \(-0.447684\pi\) | |||||||
\(602\) | 2.62511 | + | 1.49717i | 0.106992 | + | 0.0610200i | ||||
\(603\) | −3.18991 | + | 1.45678i | −0.129903 | + | 0.0593247i | ||||
\(604\) | 2.39378 | + | 1.88249i | 0.0974016 | + | 0.0765975i | ||||
\(605\) | 0.395299 | + | 0.376917i | 0.0160712 | + | 0.0153239i | ||||
\(606\) | −0.0371865 | + | 0.780641i | −0.00151060 | + | 0.0317114i | ||||
\(607\) | 9.12262 | − | 6.49619i | 0.370276 | − | 0.263672i | −0.379739 | − | 0.925094i | \(-0.623986\pi\) |
0.750014 | + | 0.661422i | \(0.230047\pi\) | |||||||
\(608\) | −2.82145 | − | 0.828451i | −0.114425 | − | 0.0335981i | ||||
\(609\) | 11.1380 | − | 21.8880i | 0.451336 | − | 0.886945i | ||||
\(610\) | −0.853265 | − | 0.984720i | −0.0345477 | − | 0.0398701i | ||||
\(611\) | −17.3111 | + | 16.5061i | −0.700332 | + | 0.667765i | ||||
\(612\) | −9.80593 | + | 0.936353i | −0.396381 | + | 0.0378498i | ||||
\(613\) | 22.1692 | + | 1.05605i | 0.895407 | + | 0.0426535i | 0.490238 | − | 0.871589i | \(-0.336910\pi\) |
0.405169 | + | 0.914242i | \(0.367213\pi\) | |||||||
\(614\) | 3.71127 | + | 0.900343i | 0.149774 | + | 0.0363349i | ||||
\(615\) | −0.0210335 | + | 0.146291i | −0.000848151 | + | 0.00589902i | ||||
\(616\) | −8.56672 | + | 9.08011i | −0.345163 | + | 0.365848i | ||||
\(617\) | −4.92415 | + | 0.707986i | −0.198239 | + | 0.0285024i | −0.240719 | − | 0.970595i | \(-0.577383\pi\) |
0.0424801 | + | 0.999097i | \(0.486474\pi\) | |||||||
\(618\) | −2.86409 | + | 0.136434i | −0.115211 | + | 0.00548816i | ||||
\(619\) | 25.2671 | + | 4.86984i | 1.01557 | + | 0.195735i | 0.669767 | − | 0.742571i | \(-0.266394\pi\) |
0.345805 | + | 0.938307i | \(0.387606\pi\) | |||||||
\(620\) | −5.07418 | + | 2.92958i | −0.203784 | + | 0.117655i | ||||
\(621\) | 4.02430 | + | 2.60864i | 0.161490 | + | 0.104681i | ||||
\(622\) | − | 8.29041i | − | 0.332415i | ||||||
\(623\) | 38.3679 | − | 7.60531i | 1.53718 | − | 0.304700i | ||||
\(624\) | 15.0106 | − | 9.64671i | 0.600904 | − | 0.386177i | ||||
\(625\) | 19.3310 | + | 7.73897i | 0.773241 | + | 0.309559i | ||||
\(626\) | 2.74913 | − | 3.86061i | 0.109877 | − | 0.154301i | ||||
\(627\) | −2.44548 | + | 0.979023i | −0.0976631 | + | 0.0390984i | ||||
\(628\) | 6.93773 | − | 28.5977i | 0.276845 | − | 1.14117i | ||||
\(629\) | 4.16173 | − | 6.47578i | 0.165939 | − | 0.258206i | ||||
\(630\) | 0.417604 | + | 0.265270i | 0.0166377 | + | 0.0105686i | ||||
\(631\) | −5.25921 | + | 17.9112i | −0.209366 | + | 0.713034i | 0.786116 | + | 0.618079i | \(0.212089\pi\) |
−0.995482 | + | 0.0949550i | \(0.969729\pi\) | |||||||
\(632\) | 3.33044 | + | 17.2799i | 0.132478 | + | 0.687359i | ||||
\(633\) | −3.98550 | − | 1.37940i | −0.158409 | − | 0.0548260i | ||||
\(634\) | 2.01506 | + | 8.30617i | 0.0800281 | + | 0.329880i | ||||
\(635\) | −0.154187 | − | 0.216525i | −0.00611872 | − | 0.00859254i | ||||
\(636\) | 17.7208 | + | 11.3884i | 0.702674 | + | 0.451581i | ||||
\(637\) | −0.402926 | − | 38.1229i | −0.0159645 | − | 1.51048i | ||||
\(638\) | 11.1822 | + | 1.60776i | 0.442707 | + | 0.0636517i | ||||
\(639\) | 7.09387 | + | 0.677382i | 0.280629 | + | 0.0267968i | ||||
\(640\) | 4.00581 | − | 3.15020i | 0.158343 | − | 0.124523i | ||||
\(641\) | −0.570958 | + | 1.10750i | −0.0225515 | + | 0.0437438i | −0.899842 | − | 0.436216i | \(-0.856318\pi\) |
0.877291 | + | 0.479960i | \(0.159349\pi\) | |||||||
\(642\) | −1.11017 | − | 3.20762i | −0.0438149 | − | 0.126595i | ||||
\(643\) | 13.9232 | 0.549078 | 0.274539 | − | 0.961576i | \(-0.411475\pi\) | ||||
0.274539 | + | 0.961576i | \(0.411475\pi\) | |||||||
\(644\) | −2.29592 | − | 23.7033i | −0.0904720 | − | 0.934040i | ||||
\(645\) | −1.73397 | −0.0682752 | ||||||||
\(646\) | −0.457655 | − | 1.32231i | −0.0180062 | − | 0.0520255i | ||||
\(647\) | 20.9991 | − | 40.7326i | 0.825560 | − | 1.60136i | 0.0268548 | − | 0.999639i | \(-0.491451\pi\) |
0.798705 | − | 0.601723i | \(-0.205519\pi\) | |||||||
\(648\) | −1.06953 | + | 0.841088i | −0.0420151 | + | 0.0330410i | ||||
\(649\) | 6.33107 | + | 0.604544i | 0.248516 | + | 0.0237304i | ||||
\(650\) | 8.92319 | + | 1.28296i | 0.349996 | + | 0.0503219i | ||||
\(651\) | −14.4224 | − | 5.68560i | −0.565256 | − | 0.222836i | ||||
\(652\) | 26.1023 | + | 16.7749i | 1.02224 | + | 0.656956i | ||||
\(653\) | 0.713085 | + | 1.00139i | 0.0279052 | + | 0.0391873i | 0.828293 | − | 0.560295i | \(-0.189312\pi\) |
−0.800388 | + | 0.599483i | \(0.795373\pi\) | |||||||
\(654\) | −1.67175 | − | 6.89103i | −0.0653705 | − | 0.269461i | ||||
\(655\) | −3.01221 | − | 1.04254i | −0.117697 | − | 0.0407352i | ||||
\(656\) | 0.171989 | + | 0.892364i | 0.00671505 | + | 0.0348410i | ||||
\(657\) | 4.53364 | − | 15.4402i | 0.176874 | − | 0.602378i | ||||
\(658\) | −4.07436 | − | 0.172511i | −0.158835 | − | 0.00672519i | ||||
\(659\) | −6.97380 | + | 10.8514i | −0.271661 | + | 0.422712i | −0.950101 | − | 0.311944i | \(-0.899020\pi\) |
0.678440 | + | 0.734656i | \(0.262656\pi\) | |||||||
\(660\) | 0.817511 | − | 3.36983i | 0.0318216 | − | 0.131170i | ||||
\(661\) | 39.0214 | − | 15.6218i | 1.51776 | − | 0.607618i | 0.544792 | − | 0.838572i | \(-0.316609\pi\) |
0.972965 | + | 0.230954i | \(0.0741845\pi\) | |||||||
\(662\) | −5.29079 | + | 7.42988i | −0.205632 | + | 0.288770i | ||||
\(663\) | 26.5380 | + | 10.6242i | 1.03065 | + | 0.412611i | ||||
\(664\) | −4.85683 | + | 3.12129i | −0.188481 | + | 0.121130i | ||||
\(665\) | 0.344869 | − | 1.01374i | 0.0133735 | − | 0.0393110i | ||||
\(666\) | − | 0.514747i | − | 0.0199460i | ||||||
\(667\) | −33.7577 | + | 29.0200i | −1.30710 | + | 1.12366i | ||||
\(668\) | −30.2420 | + | 17.4602i | −1.17010 | + | 0.675556i | ||||
\(669\) | 5.36628 | + | 1.03427i | 0.207472 | + | 0.0399870i | ||||
\(670\) | 0.655001 | − | 0.0312015i | 0.0253049 | − | 0.00120542i | ||||
\(671\) | −23.9175 | + | 3.43881i | −0.923323 | + | 0.132754i | ||||
\(672\) | 9.96580 | + | 2.36199i | 0.384439 | + | 0.0911156i | ||||
\(673\) | −5.15872 | + | 35.8797i | −0.198854 | + | 1.38306i | 0.608763 | + | 0.793352i | \(0.291666\pi\) |
−0.807617 | + | 0.589707i | \(0.799243\pi\) | |||||||
\(674\) | 2.69614 | + | 0.654077i | 0.103851 | + | 0.0251941i | ||||
\(675\) | 4.71079 | + | 0.224403i | 0.181318 | + | 0.00863726i | ||||
\(676\) | −31.1330 | + | 2.97284i | −1.19742 | + | 0.114340i | ||||
\(677\) | 23.0896 | − | 22.0159i | 0.887404 | − | 0.846138i | −0.101478 | − | 0.994838i | \(-0.532357\pi\) |
0.988882 | + | 0.148699i | \(0.0475087\pi\) | |||||||
\(678\) | −0.204165 | − | 0.235619i | −0.00784091 | − | 0.00904889i | ||||
\(679\) | 8.71097 | − | 5.66347i | 0.334297 | − | 0.217344i | ||||
\(680\) | 3.65070 | + | 1.07194i | 0.139998 | + | 0.0411071i | ||||
\(681\) | 4.89075 | − | 3.48269i | 0.187414 | − | 0.133457i | ||||
\(682\) | 0.339318 | − | 7.12317i | 0.0129932 | − | 0.272760i | ||||
\(683\) | −13.0837 | − | 12.4753i | −0.500633 | − | 0.477353i | 0.397173 | − | 0.917744i | \(-0.369991\pi\) |
−0.897806 | + | 0.440391i | \(0.854840\pi\) | |||||||
\(684\) | 1.12066 | + | 0.881297i | 0.0428495 | + | 0.0336972i | ||||
\(685\) | 5.81233 | − | 2.65440i | 0.222078 | − | 0.101419i | ||||
\(686\) | 4.63256 | − | 4.55951i | 0.176872 | − | 0.174083i | ||||
\(687\) | 0.355396 | + | 0.553008i | 0.0135592 | + | 0.0210986i | ||||
\(688\) | −10.0757 | + | 3.48724i | −0.384134 | + | 0.132950i | ||||
\(689\) | −30.5643 | − | 52.9389i | −1.16441 | − | 2.01681i | ||||
\(690\) | −0.517313 | − | 0.732531i | −0.0196938 | − | 0.0278870i | ||||
\(691\) | −17.6991 | − | 10.2186i | −0.673305 | − | 0.388733i | 0.124022 | − | 0.992279i | \(-0.460421\pi\) |
−0.797328 | + | 0.603546i | \(0.793754\pi\) | |||||||
\(692\) | 18.7468 | + | 16.2442i | 0.712647 | + | 0.617512i | ||||
\(693\) | 8.32539 | − | 3.85538i | 0.316255 | − | 0.146454i | ||||
\(694\) | 0.743436 | + | 5.17071i | 0.0282204 | + | 0.196277i | ||||
\(695\) | −1.17627 | + | 12.3185i | −0.0446185 | + | 0.467266i | ||||
\(696\) | −4.69407 | − | 11.7252i | −0.177928 | − | 0.444443i | ||||
\(697\) | −1.00471 | + | 1.05371i | −0.0380560 | + | 0.0399119i | ||||
\(698\) | 0.907837 | + | 1.76096i | 0.0343622 | + | 0.0666533i | ||||
\(699\) | −6.08812 | − | 2.78035i | −0.230274 | − | 0.105163i | ||||
\(700\) | −13.6847 | − | 19.0041i | −0.517231 | − | 0.718286i | ||||
\(701\) | 8.81511 | − | 7.63833i | 0.332942 | − | 0.288496i | −0.472305 | − | 0.881435i | \(-0.656578\pi\) |
0.805247 | + | 0.592939i | \(0.202033\pi\) | |||||||
\(702\) | 1.87697 | − | 0.361756i | 0.0708416 | − | 0.0136536i | ||||
\(703\) | −1.08270 | + | 0.262661i | −0.0408350 | + | 0.00990646i | ||||
\(704\) | −1.71196 | − | 17.9285i | −0.0645220 | − | 0.675705i | ||||
\(705\) | 2.07975 | − | 1.07219i | 0.0783281 | − | 0.0403809i | ||||
\(706\) | −1.98113 | − | 6.74711i | −0.0745608 | − | 0.253931i | ||||
\(707\) | −5.71803 | + | 1.41921i | −0.215049 | + | 0.0533750i | ||||
\(708\) | −1.42991 | − | 3.13106i | −0.0537392 | − | 0.117673i | ||||
\(709\) | −5.82108 | + | 14.5403i | −0.218615 | + | 0.546074i | −0.996617 | − | 0.0821880i | \(-0.973809\pi\) |
0.778002 | + | 0.628262i | \(0.216233\pi\) | |||||||
\(710\) | −1.18440 | − | 0.610599i | −0.0444496 | − | 0.0229154i | ||||
\(711\) | 2.44771 | − | 12.6999i | 0.0917963 | − | 0.476285i | ||||
\(712\) | 10.0577 | − | 17.4205i | 0.376929 | − | 0.652860i | ||||
\(713\) | 20.2613 | + | 19.4715i | 0.758790 | + | 0.729212i | ||||
\(714\) | 1.83522 | + | 4.51487i | 0.0686814 | + | 0.168965i | ||||
\(715\) | −6.58966 | + | 7.60487i | −0.246439 | + | 0.284406i | ||||
\(716\) | −1.43047 | − | 30.0292i | −0.0534591 | − | 1.12224i | ||||
\(717\) | 15.3624 | + | 19.5348i | 0.573718 | + | 0.729542i | ||||
\(718\) | −9.39703 | − | 6.69160i | −0.350694 | − | 0.249728i | ||||
\(719\) | 18.6773 | − | 23.7501i | 0.696544 | − | 0.885728i | −0.301152 | − | 0.953576i | \(-0.597371\pi\) |
0.997696 | + | 0.0678484i | \(0.0216134\pi\) | |||||||
\(720\) | −1.67478 | + | 0.491759i | −0.0624153 | + | 0.0183268i | ||||
\(721\) | −7.17755 | − | 20.3889i | −0.267306 | − | 0.759323i | ||||
\(722\) | 2.68601 | − | 5.88153i | 0.0999628 | − | 0.218888i | ||||
\(723\) | −19.8734 | − | 20.8426i | −0.739100 | − | 0.775145i | ||||
\(724\) | −12.2091 | + | 35.2758i | −0.453747 | + | 1.31102i | ||||
\(725\) | −14.3180 | + | 41.3693i | −0.531759 | + | 1.53642i | ||||
\(726\) | 0.248287 | + | 0.260396i | 0.00921479 | + | 0.00966420i | ||||
\(727\) | −17.6141 | + | 38.5694i | −0.653270 | + | 1.43046i | 0.235393 | + | 0.971900i | \(0.424362\pi\) |
−0.888663 | + | 0.458561i | \(0.848365\pi\) | |||||||
\(728\) | −14.8853 | − | 12.7611i | −0.551686 | − | 0.472958i | ||||
\(729\) | 0.959493 | − | 0.281733i | 0.0355368 | − | 0.0104345i | ||||
\(730\) | −1.86008 | + | 2.36529i | −0.0688447 | + | 0.0875432i | ||||
\(731\) | −13.9141 | − | 9.90816i | −0.514630 | − | 0.366467i | ||||
\(732\) | 8.08419 | + | 10.2799i | 0.298800 | + | 0.379955i | ||||
\(733\) | 1.77474 | + | 37.2564i | 0.0655515 | + | 1.37610i | 0.756879 | + | 0.653555i | \(0.226723\pi\) |
−0.691328 | + | 0.722541i | \(0.742974\pi\) | |||||||
\(734\) | −4.08220 | + | 4.71112i | −0.150677 | + | 0.173890i | ||||
\(735\) | −1.01285 | + | 3.58937i | −0.0373597 | + | 0.132396i | ||||
\(736\) | −15.0802 | − | 10.8280i | −0.555864 | − | 0.399126i | ||||
\(737\) | 6.08034 | − | 10.5314i | 0.223972 | − | 0.387931i | ||||
\(738\) | −0.0184250 | + | 0.0955980i | −0.000678234 | + | 0.00351901i | ||||
\(739\) | 38.9205 | + | 20.0649i | 1.43171 | + | 0.738100i | 0.987470 | − | 0.157806i | \(-0.0504420\pi\) |
0.444244 | + | 0.895906i | \(0.353472\pi\) | |||||||
\(740\) | 0.545077 | − | 1.36154i | 0.0200374 | − | 0.0500511i | ||||
\(741\) | −1.71867 | − | 3.76337i | −0.0631370 | − | 0.138251i | ||||
\(742\) | 2.88330 | − | 10.0151i | 0.105849 | − | 0.367666i | ||||
\(743\) | 7.19577 | + | 24.5066i | 0.263987 | + | 0.899058i | 0.979667 | + | 0.200630i | \(0.0642988\pi\) |
−0.715680 | + | 0.698429i | \(0.753883\pi\) | |||||||
\(744\) | −7.08627 | + | 3.65322i | −0.259795 | + | 0.133934i | ||||
\(745\) | 0.0797100 | + | 0.834761i | 0.00292035 | + | 0.0305833i | ||||
\(746\) | 10.3694 | − | 2.51559i | 0.379650 | − | 0.0921022i | ||||
\(747\) | 4.16644 | − | 0.803015i | 0.152442 | − | 0.0293808i | ||||
\(748\) | 25.8156 | − | 22.3694i | 0.943913 | − | 0.817906i | ||||
\(749\) | 20.7646 | − | 14.9524i | 0.758721 | − | 0.546348i | ||||
\(750\) | −1.65265 | − | 0.754740i | −0.0603463 | − | 0.0275592i | ||||
\(751\) | 8.94389 | + | 17.3487i | 0.326367 | + | 0.633064i | 0.993747 | − | 0.111653i | \(-0.0356146\pi\) |
−0.667380 | + | 0.744717i | \(0.732584\pi\) | |||||||
\(752\) | 9.92867 | − | 10.4129i | 0.362061 | − | 0.379719i | ||||
\(753\) | 1.62748 | + | 4.06524i | 0.0593086 | + | 0.148146i | ||||
\(754\) | −1.68662 | + | 17.6631i | −0.0614230 | + | 0.643250i | ||||
\(755\) | 0.123032 | + | 0.855703i | 0.00447758 | + | 0.0311422i | ||||
\(756\) | −4.06003 | − | 2.85892i | −0.147662 | − | 0.103978i | ||||
\(757\) | 10.5129 | + | 9.10948i | 0.382098 | + | 0.331090i | 0.824640 | − | 0.565658i | \(-0.191378\pi\) |
−0.442542 | + | 0.896748i | \(0.645923\pi\) | |||||||
\(758\) | 4.37803 | + | 2.52766i | 0.159017 | + | 0.0918087i | ||||
\(759\) | −16.6148 | + | 0.726120i | −0.603079 | + | 0.0263565i | ||||
\(760\) | −0.275338 | − | 0.476900i | −0.00998758 | − | 0.0172990i | ||||
\(761\) | 34.0806 | − | 11.7954i | 1.23542 | − | 0.427583i | 0.370189 | − | 0.928956i | \(-0.379293\pi\) |
0.865231 | + | 0.501373i | \(0.167172\pi\) | |||||||
\(762\) | −0.0946660 | − | 0.147303i | −0.00342939 | − | 0.00533623i | ||||
\(763\) | 46.1513 | − | 26.9716i | 1.67079 | − | 0.976438i | ||||
\(764\) | 44.9109 | − | 20.5101i | 1.62482 | − | 0.742030i | ||||
\(765\) | −2.19809 | − | 1.72860i | −0.0794721 | − | 0.0624975i | ||||
\(766\) | −1.35058 | − | 1.28777i | −0.0487983 | − | 0.0465291i | ||||
\(767\) | −0.475288 | + | 9.97752i | −0.0171616 | + | 0.360267i | ||||
\(768\) | −5.72667 | + | 4.07795i | −0.206644 | + | 0.147150i | ||||
\(769\) | −15.2684 | − | 4.48322i | −0.550594 | − | 0.161669i | −0.00540982 | − | 0.999985i | \(-0.501722\pi\) |
−0.545184 | + | 0.838316i | \(0.683540\pi\) | |||||||
\(770\) | −1.71320 | + | 0.0906860i | −0.0617395 | + | 0.00326810i | ||||
\(771\) | 2.50860 | + | 2.89507i | 0.0903449 | + | 0.104264i | ||||
\(772\) | 7.72050 | − | 7.36149i | 0.277867 | − | 0.264946i | ||||
\(773\) | −0.713393 | + | 0.0681208i | −0.0256590 | + | 0.00245013i | −0.107878 | − | 0.994164i | \(-0.534405\pi\) |
0.0822187 | + | 0.996614i | \(0.473799\pi\) | |||||||
\(774\) | −1.14093 | − | 0.0543492i | −0.0410099 | − | 0.00195354i | ||||
\(775\) | 26.8549 | + | 6.51493i | 0.964656 | + | 0.234023i | ||||
\(776\) | 0.760441 | − | 5.28898i | 0.0272982 | − | 0.189863i | ||||
\(777\) | 3.71740 | − | 1.11290i | 0.133361 | − | 0.0399250i | ||||
\(778\) | −0.343132 | + | 0.0493349i | −0.0123019 | + | 0.00176874i | ||||
\(779\) | 0.210480 | − | 0.0100264i | 0.00754122 | − | 0.000359233i | ||||
\(780\) | 5.34776 | + | 1.03070i | 0.191481 | + | 0.0369049i | ||||
\(781\) | −21.4008 | + | 12.3558i | −0.765781 | + | 0.442124i | ||||
\(782\) | 0.0346689 | − | 8.83410i | 0.00123976 | − | 0.315907i | ||||
\(783\) | 9.28239i | 0.331725i | ||||||||
\(784\) | 1.33322 | + | 22.8940i | 0.0476149 | + | 0.817642i | ||||
\(785\) | 7.02764 | − | 4.51639i | 0.250827 | − | 0.161197i | ||||
\(786\) | −1.94931 | − | 0.780386i | −0.0695296 | − | 0.0278355i | ||||
\(787\) | 6.12378 | − | 8.59964i | 0.218289 | − | 0.306544i | −0.690881 | − | 0.722968i | \(-0.742777\pi\) |
0.909171 | + | 0.416424i | \(0.136717\pi\) | |||||||
\(788\) | −26.1340 | + | 10.4625i | −0.930984 | + | 0.372710i | ||||
\(789\) | 2.56426 | − | 10.5700i | 0.0912899 | − | 0.376302i | ||||
\(790\) | −1.30753 | + | 2.03456i | −0.0465199 | + | 0.0723863i | ||||
\(791\) | 1.26018 | − | 1.98385i | 0.0448069 | − | 0.0705377i | ||||
\(792\) | 1.32930 | − | 4.52718i | 0.0472347 | − | 0.160866i | ||||
\(793\) | −7.18230 | − | 37.2653i | −0.255051 | − | 1.32333i | ||||
\(794\) | 3.44090 | + | 1.19091i | 0.122113 | + | 0.0422637i | ||||
\(795\) | 1.40980 | + | 5.81127i | 0.0500004 | + | 0.206105i | ||||
\(796\) | −6.80129 | − | 9.55108i | −0.241065 | − | 0.338529i | ||||
\(797\) | −11.1459 | − | 7.16303i | −0.394808 | − | 0.253727i | 0.328142 | − | 0.944629i | \(-0.393578\pi\) |
−0.722949 | + | 0.690901i | \(0.757214\pi\) | |||||||
\(798\) | 0.258693 | − | 0.656213i | 0.00915764 | − | 0.0232297i | ||||
\(799\) | 22.8153 | + | 3.28035i | 0.807149 | + | 0.116050i | ||||
\(800\) | −18.1738 | − | 1.73539i | −0.642541 | − | 0.0613553i | ||||
\(801\) | −11.6209 | + | 9.13878i | −0.410605 | + | 0.322903i | ||||
\(802\) | 2.52590 | − | 4.89957i | 0.0891927 | − | 0.173010i | ||||
\(803\) | 18.2513 | + | 52.7336i | 0.644074 | + | 1.86093i | ||||
\(804\) | −6.58166 | −0.232117 | ||||||||
\(805\) | 4.17175 | − | 5.31968i | 0.147035 | − | 0.187494i | ||||
\(806\) | 11.2004 | 0.394516 | ||||||||
\(807\) | −2.85031 | − | 8.23542i | −0.100336 | − | 0.289901i | ||||
\(808\) | −1.38835 | + | 2.69303i | −0.0488420 | + | 0.0947403i | ||||
\(809\) | −15.8218 | + | 12.4424i | −0.556265 | + | 0.437451i | −0.856302 | − | 0.516476i | \(-0.827243\pi\) |
0.300037 | + | 0.953928i | \(0.403001\pi\) | |||||||
\(810\) | −0.186145 | − | 0.0177747i | −0.00654046 | − | 0.000624538i | ||||
\(811\) | 15.0366 | + | 2.16194i | 0.528007 | + | 0.0759160i | 0.401163 | − | 0.916007i | \(-0.368606\pi\) |
0.126844 | + | 0.991923i | \(0.459515\pi\) | |||||||
\(812\) | 36.0802 | − | 28.6837i | 1.26617 | − | 1.00660i | ||||
\(813\) | 13.5970 | + | 8.73826i | 0.476868 | + | 0.306464i | ||||
\(814\) | 1.03540 | + | 1.45402i | 0.0362909 | + | 0.0509634i | ||||
\(815\) | 2.07660 | + | 8.55987i | 0.0727402 | + | 0.299839i | ||||
\(816\) | −16.2490 | − | 5.62384i | −0.568829 | − | 0.196874i | ||||
\(817\) | 0.467868 | + | 2.42753i | 0.0163686 | + | 0.0849286i | ||||
\(818\) | 1.41235 | − | 4.81003i | 0.0493817 | − | 0.168179i | ||||
\(819\) | 6.67059 | + | 12.7730i | 0.233089 | + | 0.446323i | ||||
\(820\) | −0.149966 | + | 0.233352i | −0.00523704 | + | 0.00814899i | ||||
\(821\) | −4.64699 | + | 19.1551i | −0.162181 | + | 0.668519i | 0.831427 | + | 0.555634i | \(0.187524\pi\) |
−0.993608 | + | 0.112885i | \(0.963991\pi\) | |||||||
\(822\) | 3.90763 | − | 1.56438i | 0.136294 | − | 0.0545639i | ||||
\(823\) | 15.3080 | − | 21.4971i | 0.533603 | − | 0.749341i | −0.456494 | − | 0.889727i | \(-0.650895\pi\) |
0.990097 | + | 0.140386i | \(0.0448343\pi\) | |||||||
\(824\) | −10.3199 | − | 4.13146i | −0.359511 | − | 0.143926i | ||||
\(825\) | −13.7581 | + | 8.84179i | −0.478995 | + | 0.307832i | ||||
\(826\) | −1.28114 | + | 1.12202i | −0.0445764 | + | 0.0390400i | ||||
\(827\) | − | 11.3511i | − | 0.394715i | −0.980332 | − | 0.197357i | \(-0.936764\pi\) | ||
0.980332 | − | 0.197357i | \(-0.0632360\pi\) | |||||||
\(828\) | 4.83651 | + | 7.59110i | 0.168081 | + | 0.263809i | ||||
\(829\) | −2.82708 | + | 1.63221i | −0.0981884 | + | 0.0566891i | −0.548290 | − | 0.836288i | \(-0.684721\pi\) |
0.450102 | + | 0.892977i | \(0.351388\pi\) | |||||||
\(830\) | −0.779088 | − | 0.150157i | −0.0270425 | − | 0.00521202i | ||||
\(831\) | −3.16669 | + | 0.150848i | −0.109851 | + | 0.00523286i | ||||
\(832\) | 27.9987 | − | 4.02560i | 0.970680 | − | 0.139563i | ||||
\(833\) | −28.6376 | + | 23.0149i | −0.992236 | + | 0.797418i | ||||
\(834\) | −1.16007 | + | 8.06849i | −0.0401701 | + | 0.279389i | ||||
\(835\) | −9.63375 | − | 2.33712i | −0.333390 | − | 0.0808795i | ||||
\(836\) | −4.93828 | − | 0.235239i | −0.170794 | − | 0.00813591i | ||||
\(837\) | 5.83290 | − | 0.556974i | 0.201614 | − | 0.0192518i | ||||
\(838\) | −7.17233 | + | 6.83880i | −0.247764 | + | 0.236242i | ||||
\(839\) | −23.9737 | − | 27.6672i | −0.827665 | − | 0.955176i | 0.171887 | − | 0.985117i | \(-0.445014\pi\) |
−0.999552 | + | 0.0299406i | \(0.990468\pi\) | |||||||
\(840\) | 1.04546 | + | 1.60802i | 0.0360717 | + | 0.0554818i | ||||
\(841\) | −54.8472 | − | 16.1046i | −1.89128 | − | 0.555331i | ||||
\(842\) | −7.76732 | + | 5.53109i | −0.267680 | + | 0.190614i | ||||
\(843\) | 0.683626 | − | 14.3511i | 0.0235453 | − | 0.494277i | ||||
\(844\) | −5.72866 | − | 5.46227i | −0.197189 | − | 0.188019i | ||||
\(845\) | −6.97875 | − | 5.48815i | −0.240076 | − | 0.188798i | ||||
\(846\) | 1.40205 | − | 0.640296i | 0.0482036 | − | 0.0220138i | ||||
\(847\) | −1.34372 | + | 2.35606i | −0.0461709 | + | 0.0809552i | ||||
\(848\) | 19.8792 | + | 30.9327i | 0.682656 | + | 1.06223i | ||||
\(849\) | 13.0492 | − | 4.51638i | 0.447848 | − | 0.155002i | ||||
\(850\) | −4.34368 | − | 7.52347i | −0.148987 | − | 0.258053i | ||||
\(851\) | −6.99932 | − | 0.696083i | −0.239934 | − | 0.0238614i | ||||
\(852\) | 11.5827 | + | 6.68725i | 0.396815 | + | 0.229101i | ||||
\(853\) | 18.3281 | + | 15.8813i | 0.627541 | + | 0.543767i | 0.909524 | − | 0.415652i | \(-0.136447\pi\) |
−0.281983 | + | 0.959419i | \(0.590992\pi\) | |||||||
\(854\) | 3.72526 | − | 5.29034i | 0.127476 | − | 0.181032i | ||||
\(855\) | 0.0575978 | + | 0.400602i | 0.00196980 | + | 0.0137003i | ||||
\(856\) | 1.25085 | − | 13.0995i | 0.0427533 | − | 0.447733i | ||||
\(857\) | −1.73841 | − | 4.34235i | −0.0593831 | − | 0.148332i | 0.895709 | − | 0.444640i | \(-0.146669\pi\) |
−0.955092 | + | 0.296309i | \(0.904244\pi\) | |||||||
\(858\) | −4.57426 | + | 4.79735i | −0.156163 | + | 0.163779i | ||||
\(859\) | 20.2943 | + | 39.3654i | 0.692431 | + | 1.34313i | 0.928478 | + | 0.371388i | \(0.121118\pi\) |
−0.236046 | + | 0.971742i | \(0.575852\pi\) | |||||||
\(860\) | −2.96027 | − | 1.35191i | −0.100944 | − | 0.0460998i | ||||
\(861\) | −0.730225 | + | 0.0736240i | −0.0248860 | + | 0.00250910i | ||||
\(862\) | −5.47226 | + | 4.74174i | −0.186386 | + | 0.161504i | ||||
\(863\) | −47.6690 | + | 9.18745i | −1.62267 | + | 0.312745i | −0.917937 | − | 0.396726i | \(-0.870146\pi\) |
−0.704735 | + | 0.709470i | \(0.748934\pi\) | |||||||
\(864\) | −3.76195 | + | 0.912639i | −0.127984 | + | 0.0310486i | ||||
\(865\) | 0.669365 | + | 7.00991i | 0.0227591 | + | 0.238344i | ||||
\(866\) | −0.0363109 | + | 0.0187196i | −0.00123390 | + | 0.000636117i | ||||
\(867\) | −2.97141 | − | 10.1197i | −0.100914 | − | 0.343683i | ||||
\(868\) | −20.1893 | − | 20.9511i | −0.685268 | − | 0.711126i | ||||
\(869\) | 18.6315 | + | 40.7974i | 0.632032 | + | 1.38396i | ||||
\(870\) | 0.645105 | − | 1.61139i | 0.0218711 | − | 0.0546314i | ||||
\(871\) | 16.9764 | + | 8.75194i | 0.575223 | + | 0.296548i | ||||
\(872\) | 5.20256 | − | 26.9934i | 0.176181 | − | 0.914113i | ||||
\(873\) | −1.96356 | + | 3.40099i | −0.0664565 | + | 0.115106i | ||||
\(874\) | −0.885946 | + | 0.921882i | −0.0299676 | + | 0.0311831i | ||||
\(875\) | 1.87750 | − | 13.5669i | 0.0634712 | − | 0.458644i | ||||
\(876\) | 19.7780 | − | 22.8250i | 0.668236 | − | 0.771186i | ||||
\(877\) | 2.29936 | + | 48.2695i | 0.0776439 | + | 1.62995i | 0.616364 | + | 0.787461i | \(0.288605\pi\) |
−0.538720 | + | 0.842485i | \(0.681092\pi\) | |||||||
\(878\) | −5.03267 | − | 6.39956i | −0.169844 | − | 0.215975i | ||||
\(879\) | −3.15728 | − | 2.24829i | −0.106492 | − | 0.0758329i | ||||
\(880\) | 3.74163 | − | 4.75787i | 0.126130 | − | 0.160388i | ||||
\(881\) | 18.9362 | − | 5.56016i | 0.637975 | − | 0.187326i | 0.0532802 | − | 0.998580i | \(-0.483032\pi\) |
0.584695 | + | 0.811253i | \(0.301214\pi\) | |||||||
\(882\) | −0.778947 | + | 2.33000i | −0.0262285 | + | 0.0784553i | ||||
\(883\) | 6.40509 | − | 14.0252i | 0.215549 | − | 0.471986i | −0.770712 | − | 0.637184i | \(-0.780099\pi\) |
0.986260 | + | 0.165198i | \(0.0528264\pi\) | |||||||
\(884\) | 37.0229 | + | 38.8285i | 1.24521 | + | 1.30594i | ||||
\(885\) | 0.319593 | − | 0.923404i | 0.0107430 | − | 0.0310399i | ||||
\(886\) | −2.70612 | + | 7.81883i | −0.0909140 | + | 0.262679i | ||||
\(887\) | −15.1063 | − | 15.8430i | −0.507219 | − | 0.531956i | 0.419478 | − | 0.907766i | \(-0.362213\pi\) |
−0.926697 | + | 0.375809i | \(0.877365\pi\) | |||||||
\(888\) | 0.828995 | − | 1.81525i | 0.0278193 | − | 0.0609157i | ||||
\(889\) | 0.859123 | − | 1.00213i | 0.0288141 | − | 0.0336104i | ||||
\(890\) | 2.65248 | − | 0.778838i | 0.0889113 | − | 0.0261067i | ||||
\(891\) | −2.14361 | + | 2.72582i | −0.0718136 | + | 0.0913184i | ||||
\(892\) | 8.35503 | + | 5.94959i | 0.279747 | + | 0.199207i | ||||
\(893\) | −2.06221 | − | 2.62231i | −0.0690092 | − | 0.0877524i | ||||
\(894\) | 0.0262835 | + | 0.551759i | 0.000879052 | + | 0.0184536i | ||||
\(895\) | 5.58880 | − | 6.44982i | 0.186813 | − | 0.215594i | ||||
\(896\) | 19.9746 | + | 15.5380i | 0.667303 | + | 0.519089i | ||||
\(897\) | −2.38082 | − | 26.0114i | −0.0794932 | − | 0.868496i | ||||
\(898\) | −4.44087 | + | 7.69182i | −0.148194 | + | 0.256679i | ||||
\(899\) | −10.2933 | + | 53.4066i | −0.343300 | + | 1.78121i | ||||
\(900\) | 7.86739 | + | 4.05592i | 0.262246 | + | 0.135197i | ||||
\(901\) | −21.8936 | + | 54.6876i | −0.729382 | + | 1.82191i | ||||
\(902\) | −0.140248 | − | 0.307100i | −0.00466974 | − | 0.0102253i | ||||
\(903\) | −2.07422 | − | 8.35707i | −0.0690258 | − | 0.278106i | ||||
\(904\) | −0.340522 | − | 1.15971i | −0.0113256 | − | 0.0385714i | ||||
\(905\) | −9.41889 | + | 4.85578i | −0.313095 | + | 0.161411i | ||||
\(906\) | 0.0541320 | + | 0.566896i | 0.00179842 | + | 0.0188339i | ||||
\(907\) | 11.2004 | − | 2.71718i | 0.371902 | − | 0.0902223i | −0.0454520 | − | 0.998967i | \(-0.514473\pi\) |
0.417354 | + | 0.908744i | \(0.362958\pi\) | |||||||
\(908\) | 11.0649 | − | 2.13258i | 0.367201 | − | 0.0707722i | ||||
\(909\) | 1.68289 | − | 1.45823i | 0.0558180 | − | 0.0483666i | ||||
\(910\) | −0.270302 | − | 2.68094i | −0.00896043 | − | 0.0888722i | ||||
\(911\) | −6.34375 | − | 2.89710i | −0.210178 | − | 0.0959851i | 0.307544 | − | 0.951534i | \(-0.400493\pi\) |
−0.517722 | + | 0.855549i | \(0.673220\pi\) | |||||||
\(912\) | 1.14035 | + | 2.21197i | 0.0377607 | + | 0.0732456i | ||||
\(913\) | −10.1538 | + | 10.6490i | −0.336042 | + | 0.352431i | ||||
\(914\) | −3.29349 | − | 8.22673i | −0.108939 | − | 0.272116i | ||||
\(915\) | −0.352898 | + | 3.69572i | −0.0116665 | + | 0.122177i | ||||
\(916\) | 0.175581 | + | 1.22119i | 0.00580136 | + | 0.0403494i | ||||
\(917\) | 1.42133 | − | 15.7647i | 0.0469363 | − | 0.520598i | ||||
\(918\) | −1.39213 | − | 1.20629i | −0.0459471 | − | 0.0398134i | ||||
\(919\) | −0.688034 | − | 0.397236i | −0.0226961 | − | 0.0131036i | 0.488609 | − | 0.872503i | \(-0.337504\pi\) |
−0.511305 | + | 0.859399i | \(0.670838\pi\) | |||||||
\(920\) | −0.644559 | − | 3.41638i | −0.0212505 | − | 0.112635i | ||||
\(921\) | −5.44058 | − | 9.42335i | −0.179273 | − | 0.310510i | ||||
\(922\) | 10.8968 | − | 3.77142i | 0.358867 | − | 0.124205i | ||||
\(923\) | −20.9834 | − | 32.6507i | −0.690676 | − | 1.07471i | ||||
\(924\) | 17.2191 | − | 0.0909933i | 0.566468 | − | 0.00299346i | ||||
\(925\) | −6.29188 | + | 2.87341i | −0.206876 | + | 0.0944770i | ||||
\(926\) | −3.93722 | − | 3.09627i | −0.129385 | − | 0.101750i | ||||
\(927\) | 5.91280 | + | 5.63784i | 0.194202 | + | 0.185171i | ||||
\(928\) | 1.70975 | − | 35.8921i | 0.0561253 | − | 1.17821i | ||||
\(929\) | 0.478834 | − | 0.340976i | 0.0157100 | − | 0.0111871i | −0.572175 | − | 0.820132i | \(-0.693900\pi\) |
0.587885 | + | 0.808945i | \(0.299961\pi\) | |||||||
\(930\) | −1.05128 | − | 0.308684i | −0.0344729 | − | 0.0101221i | ||||
\(931\) | 5.29834 | + | 0.449478i | 0.173646 | + | 0.0147310i | ||||
\(932\) | −8.22602 | − | 9.49333i | −0.269452 | − | 0.310964i | ||||
\(933\) | −17.0958 | + | 16.3008i | −0.559692 | + | 0.533665i | ||||
\(934\) | −6.63765 | + | 0.633819i | −0.217191 | + | 0.0207392i | ||||
\(935\) | 9.68604 | + | 0.461403i | 0.316768 | + | 0.0150895i | ||||
\(936\) | 7.20170 | + | 1.74711i | 0.235395 | + | 0.0571062i | ||||
\(937\) | −1.80337 | + | 12.5427i | −0.0589134 | + | 0.409752i | 0.938930 | + | 0.344109i | \(0.111819\pi\) |
−0.997843 | + | 0.0656430i | \(0.979090\pi\) | |||||||
\(938\) | 0.933907 | + | 3.11952i | 0.0304932 | + | 0.101856i | ||||
\(939\) | −13.3665 | + | 1.92181i | −0.436198 | + | 0.0627158i | ||||
\(940\) | 4.38654 | − | 0.208956i | 0.143073 | − | 0.00681541i | ||||
\(941\) | −20.5121 | − | 3.95339i | −0.668676 | − | 0.128877i | −0.156395 | − | 0.987695i | \(-0.549987\pi\) |
−0.512281 | + | 0.858818i | \(0.671199\pi\) | |||||||
\(942\) | 4.76564 | − | 2.75144i | 0.155273 | − | 0.0896469i | ||||
\(943\) | 1.27499 | + | 0.379811i | 0.0415193 | + | 0.0123683i | ||||
\(944\) | − | 6.00843i | − | 0.195558i | ||||||
\(945\) | −0.274085 | − | 1.38273i | −0.00891600 | − | 0.0449802i | ||||
\(946\) | 3.33214 | − | 2.14144i | 0.108337 | − | 0.0696241i | ||||
\(947\) | −32.7599 | − | 13.1151i | −1.06455 | − | 0.426183i | −0.227768 | − | 0.973715i | \(-0.573143\pi\) |
−0.836784 | + | 0.547533i | \(0.815567\pi\) | |||||||
\(948\) | 14.0804 | − | 19.7732i | 0.457310 | − | 0.642203i | ||||
\(949\) | −81.3658 | + | 32.5740i | −2.64125 | + | 1.05740i | ||||
\(950\) | −0.296427 | + | 1.22189i | −0.00961737 | + | 0.0396434i | ||||
\(951\) | 13.1663 | − | 20.4871i | 0.426945 | − | 0.664340i | ||||
\(952\) | −0.799275 | + | 18.8772i | −0.0259047 | + | 0.611814i | ||||
\(953\) | −2.03946 | + | 6.94576i | −0.0660646 | + | 0.224995i | −0.985907 | − | 0.167292i | \(-0.946498\pi\) |
0.919843 | + | 0.392287i | \(0.128316\pi\) | |||||||
\(954\) | 0.745480 | + | 3.86792i | 0.0241358 | + | 0.125229i | ||||
\(955\) | 13.2450 | + | 4.58414i | 0.428598 | + | 0.148339i | ||||
\(956\) | 10.9964 | + | 45.3276i | 0.355648 | + | 1.46600i | ||||
\(957\) | −18.6713 | − | 26.2202i | −0.603559 | − | 0.847580i | ||||
\(958\) | 11.7956 | + | 7.58055i | 0.381097 | + | 0.244916i | ||||
\(959\) | 19.7460 | + | 24.8378i | 0.637632 | + | 0.802056i | ||||
\(960\) | −2.73894 | − | 0.393800i | −0.0883989 | − | 0.0127098i | ||||
\(961\) | 3.31780 | + | 0.316811i | 0.107026 | + | 0.0102197i | ||||
\(962\) | −2.20373 | + | 1.73303i | −0.0710510 | + | 0.0558751i | ||||
\(963\) | −4.43166 | + | 8.59622i | −0.142808 | + | 0.277009i | ||||
\(964\) | −17.6781 | − | 51.0774i | −0.569372 | − | 1.64509i | ||||
\(965\) | 3.02831 | 0.0974847 | ||||||||
\(966\) | 2.91169 | − | 3.36951i | 0.0936819 | − | 0.108412i | ||||
\(967\) | −4.98613 | −0.160343 | −0.0801716 | − | 0.996781i | \(-0.525547\pi\) | ||||
−0.0801716 | + | 0.996781i | \(0.525547\pi\) | |||||||
\(968\) | 0.456214 | + | 1.31815i | 0.0146633 | + | 0.0423668i | ||||
\(969\) | −1.82690 | + | 3.54370i | −0.0586886 | + | 0.113840i | ||||
\(970\) | 0.577229 | − | 0.453938i | 0.0185337 | − | 0.0145751i | ||||
\(971\) | −34.1881 | − | 3.26457i | −1.09715 | − | 0.104765i | −0.469254 | − | 0.883063i | \(-0.655477\pi\) |
−0.627895 | + | 0.778298i | \(0.716083\pi\) | |||||||
\(972\) | 1.85772 | + | 0.267100i | 0.0595864 | + | 0.00856723i | ||||
\(973\) | −60.7771 | + | 9.06649i | −1.94843 | + | 0.290658i | ||||
\(974\) | 1.12935 | + | 0.725787i | 0.0361866 | + | 0.0232557i | ||||
\(975\) | −14.8994 | − | 20.9233i | −0.477163 | − | 0.670081i | ||||
\(976\) | 5.38195 | + | 22.1847i | 0.172272 | + | 0.710115i | ||||
\(977\) | 31.0233 | + | 10.7373i | 0.992524 | + | 0.343516i | 0.774601 | − | 0.632450i | \(-0.217951\pi\) |
0.217923 | + | 0.975966i | \(0.430072\pi\) | |||||||
\(978\) | 1.09807 | + | 5.69735i | 0.0351126 | + | 0.182181i | ||||
\(979\) | 14.4434 | − | 49.1898i | 0.461614 | − | 1.57211i | ||||
\(980\) | −4.52765 | + | 5.33815i | −0.144631 | + | 0.170521i | ||||
\(981\) | −10.9231 | + | 16.9967i | −0.348748 | + | 0.542662i | ||||
\(982\) | 3.47670 | − | 14.3311i | 0.110946 | − | 0.457325i | ||||
\(983\) | 34.7170 | − | 13.8986i | 1.10730 | − | 0.443296i | 0.255313 | − | 0.966859i | \(-0.417822\pi\) |
0.851987 | + | 0.523563i | \(0.175397\pi\) | |||||||
\(984\) | −0.218935 | + | 0.307451i | −0.00697940 | + | 0.00980119i | ||||
\(985\) | −7.41889 | − | 2.97007i | −0.236385 | − | 0.0946345i | ||||
\(986\) | 14.3843 | − | 9.24421i | 0.458089 | − | 0.294396i | ||||
\(987\) | 7.65537 | + | 8.74101i | 0.243673 | + | 0.278229i | ||||
\(988\) | − | 7.76487i | − | 0.247033i | ||||||
\(989\) | −2.28188 | + | 15.4404i | −0.0725594 | + | 0.490976i | ||||
\(990\) | 0.561562 | − | 0.324218i | 0.0178476 | − | 0.0103043i | ||||
\(991\) | −6.50169 | − | 1.25310i | −0.206533 | − | 0.0398060i | 0.0849352 | − | 0.996386i | \(-0.472932\pi\) |
−0.291468 | + | 0.956580i | \(0.594144\pi\) | |||||||
\(992\) | −22.6566 | + | 1.07926i | −0.719346 | + | 0.0342667i | ||||
\(993\) | 25.7242 | − | 3.69858i | 0.816333 | − | 0.117371i | ||||
\(994\) | 1.52604 | − | 6.43874i | 0.0484030 | − | 0.204224i | ||||
\(995\) | 0.473701 | − | 3.29466i | 0.0150173 | − | 0.104448i | ||||
\(996\) | 7.73909 | + | 1.87748i | 0.245223 | + | 0.0594903i | ||||
\(997\) | −30.8905 | − | 1.47150i | −0.978313 | − | 0.0466028i | −0.447671 | − | 0.894199i | \(-0.647746\pi\) |
−0.530643 | + | 0.847596i | \(0.678049\pi\) | |||||||
\(998\) | −1.81496 | + | 0.173307i | −0.0574514 | + | 0.00548594i | ||||
\(999\) | −1.06147 | + | 1.01211i | −0.0335834 | + | 0.0320217i |
(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.bf.a.145.20 | yes | 640 | |
7.3 | odd | 6 | inner | 483.2.bf.a.283.13 | yes | 640 | |
23.10 | odd | 22 | inner | 483.2.bf.a.355.13 | yes | 640 | |
161.10 | even | 66 | inner | 483.2.bf.a.10.20 | ✓ | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.10.20 | ✓ | 640 | 161.10 | even | 66 | inner | |
483.2.bf.a.145.20 | yes | 640 | 1.1 | even | 1 | trivial | |
483.2.bf.a.283.13 | yes | 640 | 7.3 | odd | 6 | inner | |
483.2.bf.a.355.13 | yes | 640 | 23.10 | odd | 22 | inner |