Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(82,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.e (of order \(9\), degree \(6\), not 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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{12} + 18x^{10} + 105x^{8} + 266x^{6} + 306x^{4} + 132x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 406.2 | ||
Root | \(1.91182i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.406 |
Dual form | 729.2.e.s.325.2 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.88278 | + | 1.57984i | 1.33132 | + | 1.11711i | 0.983766 | + | 0.179454i | \(0.0574333\pi\) |
0.347557 | + | 0.937659i | \(0.387011\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.701665 | + | 3.97934i | 0.350833 | + | 1.98967i | ||||
\(5\) | −2.89450 | − | 1.05351i | −1.29446 | − | 0.471145i | −0.399271 | − | 0.916833i | \(-0.630737\pi\) |
−0.895188 | + | 0.445688i | \(0.852959\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.461673 | + | 2.61828i | −0.174496 | + | 0.989615i | 0.764228 | + | 0.644946i | \(0.223120\pi\) |
−0.938724 | + | 0.344669i | \(0.887991\pi\) | |||||||
\(8\) | −2.50784 | + | 4.34371i | −0.886656 | + | 1.53573i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.78532 | − | 6.55636i | −1.19702 | − | 2.07330i | ||||
\(11\) | −3.22722 | + | 1.17461i | −0.973045 | + | 0.354159i | −0.779132 | − | 0.626859i | \(-0.784340\pi\) |
−0.193912 | + | 0.981019i | \(0.562118\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.56162 | + | 2.14945i | −0.710465 | + | 0.596151i | −0.924730 | − | 0.380625i | \(-0.875709\pi\) |
0.214264 | + | 0.976776i | \(0.431265\pi\) | |||||||
\(14\) | −5.00567 | + | 4.20026i | −1.33782 | + | 1.12257i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.98997 | + | 1.45223i | −0.997491 | + | 0.363057i | ||||
\(17\) | 1.28641 | + | 2.22813i | 0.312000 | + | 0.540400i | 0.978795 | − | 0.204841i | \(-0.0656678\pi\) |
−0.666795 | + | 0.745241i | \(0.732334\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.04838 | − | 1.81585i | 0.240515 | − | 0.416585i | −0.720346 | − | 0.693615i | \(-0.756017\pi\) |
0.960861 | + | 0.277030i | \(0.0893503\pi\) | |||||||
\(20\) | 2.16131 | − | 12.2574i | 0.483284 | − | 2.74084i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −7.93184 | − | 2.88695i | −1.69107 | − | 0.615500i | ||||
\(23\) | −0.0928052 | − | 0.526325i | −0.0193512 | − | 0.109746i | 0.973602 | − | 0.228252i | \(-0.0733009\pi\) |
−0.992953 | + | 0.118505i | \(0.962190\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.43802 | + | 2.88484i | 0.687605 | + | 0.576969i | ||||
\(26\) | −8.21874 | −1.61183 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −10.7430 | −2.03023 | ||||||||
\(29\) | −1.93878 | − | 1.62683i | −0.360022 | − | 0.302094i | 0.444778 | − | 0.895641i | \(-0.353283\pi\) |
−0.804799 | + | 0.593547i | \(0.797727\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.33964 | + | 7.59750i | 0.240607 | + | 1.36455i | 0.830477 | + | 0.557053i | \(0.188068\pi\) |
−0.589870 | + | 0.807498i | \(0.700821\pi\) | |||||||
\(32\) | −0.380097 | − | 0.138344i | −0.0671922 | − | 0.0244560i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.09805 | + | 6.22738i | −0.188315 | + | 1.06799i | ||||
\(35\) | 4.09470 | − | 7.09222i | 0.692130 | − | 1.19880i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.14783 | + | 8.91631i | 0.846298 | + | 1.46583i | 0.884489 | + | 0.466561i | \(0.154507\pi\) |
−0.0381907 | + | 0.999270i | \(0.512159\pi\) | |||||||
\(38\) | 4.84261 | − | 1.76257i | 0.785576 | − | 0.285926i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 11.8351 | − | 9.93082i | 1.87129 | − | 1.57020i | ||||
\(41\) | 3.74213 | − | 3.14002i | 0.584423 | − | 0.490389i | −0.301973 | − | 0.953316i | \(-0.597645\pi\) |
0.886396 | + | 0.462927i | \(0.153201\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.57616 | + | 0.937645i | −0.392860 | + | 0.142990i | −0.530894 | − | 0.847438i | \(-0.678144\pi\) |
0.138034 | + | 0.990427i | \(0.455922\pi\) | |||||||
\(44\) | −6.93862 | − | 12.0180i | −1.04604 | − | 1.81179i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.656775 | − | 1.13757i | 0.0968363 | − | 0.167725i | ||||
\(47\) | 0.982501 | − | 5.57204i | 0.143312 | − | 0.812765i | −0.825394 | − | 0.564557i | \(-0.809047\pi\) |
0.968707 | − | 0.248208i | \(-0.0798418\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.0643792 | − | 0.0234321i | −0.00919703 | − | 0.00334745i | ||||
\(50\) | 1.91544 | + | 10.8630i | 0.270885 | + | 1.53626i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −10.3508 | − | 8.68536i | −1.43540 | − | 1.20444i | ||||
\(53\) | −6.42657 | −0.882758 | −0.441379 | − | 0.897321i | \(-0.645511\pi\) | ||||
−0.441379 | + | 0.897321i | \(0.645511\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 10.5787 | 1.42643 | ||||||||
\(56\) | −10.2152 | − | 8.57159i | −1.36507 | − | 1.14543i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.08016 | − | 6.12590i | −0.141832 | − | 0.804370i | ||||
\(59\) | 1.55514 | + | 0.566026i | 0.202463 | + | 0.0736903i | 0.441261 | − | 0.897379i | \(-0.354531\pi\) |
−0.238798 | + | 0.971069i | \(0.576754\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.49571 | − | 14.1539i | 0.319543 | − | 1.81222i | −0.225993 | − | 0.974129i | \(-0.572563\pi\) |
0.545536 | − | 0.838087i | \(-0.316326\pi\) | |||||||
\(62\) | −9.48056 | + | 16.4208i | −1.20403 | + | 2.08544i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 3.74896 | + | 6.49338i | 0.468620 | + | 0.811673i | ||||
\(65\) | 9.67908 | − | 3.52290i | 1.20054 | − | 0.436962i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.50356 | + | 3.77894i | −0.550198 | + | 0.461671i | −0.875008 | − | 0.484109i | \(-0.839144\pi\) |
0.324810 | + | 0.945779i | \(0.394700\pi\) | |||||||
\(68\) | −7.96384 | + | 6.68246i | −0.965758 | + | 0.810367i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 18.9140 | − | 6.88411i | 2.26065 | − | 0.822809i | ||||
\(71\) | 7.40813 | + | 12.8313i | 0.879184 | + | 1.52279i | 0.852238 | + | 0.523154i | \(0.175245\pi\) |
0.0269456 | + | 0.999637i | \(0.491422\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.940699 | + | 1.62934i | −0.110101 | + | 0.190700i | −0.915811 | − | 0.401610i | \(-0.868451\pi\) |
0.805710 | + | 0.592310i | \(0.201784\pi\) | |||||||
\(74\) | −4.39409 | + | 24.9201i | −0.510803 | + | 2.89691i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 7.96150 | + | 2.89775i | 0.913247 | + | 0.332395i | ||||
\(77\) | −1.58554 | − | 8.99205i | −0.180689 | − | 1.02474i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 13.1710 | + | 11.0518i | 1.48185 | + | 1.24342i | 0.904181 | + | 0.427150i | \(0.140482\pi\) |
0.577670 | + | 0.816271i | \(0.303962\pi\) | |||||||
\(80\) | 13.0789 | 1.46227 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 12.0063 | 1.32588 | ||||||||
\(83\) | −3.04027 | − | 2.55109i | −0.333712 | − | 0.280018i | 0.460498 | − | 0.887661i | \(-0.347671\pi\) |
−0.794211 | + | 0.607643i | \(0.792115\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.37615 | − | 7.80456i | −0.149265 | − | 0.846523i | ||||
\(86\) | −6.33165 | − | 2.30453i | −0.682760 | − | 0.248504i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.99119 | − | 16.9639i | 0.318862 | − | 1.80835i | ||||
\(89\) | 2.54940 | − | 4.41569i | 0.270236 | − | 0.468062i | −0.698686 | − | 0.715428i | \(-0.746232\pi\) |
0.968922 | + | 0.247366i | \(0.0795651\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.44523 | − | 7.69937i | −0.465987 | − | 0.807113i | ||||
\(92\) | 2.02931 | − | 0.738607i | 0.211570 | − | 0.0770051i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 10.6527 | − | 8.93871i | 1.09875 | − | 0.921957i | ||||
\(95\) | −4.94756 | + | 4.15150i | −0.507609 | + | 0.425935i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 9.99070 | − | 3.63632i | 1.01440 | − | 0.369212i | 0.219280 | − | 0.975662i | \(-0.429629\pi\) |
0.795122 | + | 0.606450i | \(0.207407\pi\) | |||||||
\(98\) | −0.0841927 | − | 0.145826i | −0.00850475 | − | 0.0147307i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −9.06744 | + | 15.7053i | −0.906744 | + | 1.57053i | ||||
\(101\) | −0.982517 | + | 5.57213i | −0.0977641 | + | 0.554448i | 0.896101 | + | 0.443850i | \(0.146388\pi\) |
−0.993865 | + | 0.110598i | \(0.964723\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −9.74512 | − | 3.54693i | −0.960215 | − | 0.349490i | −0.186097 | − | 0.982531i | \(-0.559584\pi\) |
−0.774118 | + | 0.633042i | \(0.781806\pi\) | |||||||
\(104\) | −2.91247 | − | 16.5174i | −0.285591 | − | 1.61967i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −12.0998 | − | 10.1529i | −1.17524 | − | 0.986140i | ||||
\(107\) | 14.2457 | 1.37719 | 0.688594 | − | 0.725147i | \(-0.258228\pi\) | ||||
0.688594 | + | 0.725147i | \(0.258228\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.76064 | 0.551769 | 0.275884 | − | 0.961191i | \(-0.411029\pi\) | ||||
0.275884 | + | 0.961191i | \(0.411029\pi\) | |||||||
\(110\) | 19.9173 | + | 16.7126i | 1.89904 | + | 1.59348i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.96028 | − | 11.1173i | −0.185229 | − | 1.05048i | ||||
\(113\) | −10.7282 | − | 3.90474i | −1.00922 | − | 0.367327i | −0.216088 | − | 0.976374i | \(-0.569330\pi\) |
−0.793134 | + | 0.609047i | \(0.791552\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.285865 | + | 1.62122i | −0.0266570 | + | 0.151179i | ||||
\(116\) | 5.11333 | − | 8.85654i | 0.474761 | − | 0.822309i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 2.03376 | + | 3.52257i | 0.187223 | + | 0.324279i | ||||
\(119\) | −6.42775 | + | 2.33951i | −0.589231 | + | 0.214462i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.608773 | − | 0.510821i | 0.0553430 | − | 0.0464383i | ||||
\(122\) | 27.0596 | − | 22.7057i | 2.44987 | − | 2.05568i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −29.2931 | + | 10.6618i | −2.63059 | + | 0.957458i | ||||
\(125\) | 0.788517 | + | 1.36575i | 0.0705271 | + | 0.122157i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.29510 | + | 2.24317i | −0.114921 | + | 0.199049i | −0.917748 | − | 0.397163i | \(-0.869995\pi\) |
0.802827 | + | 0.596212i | \(0.203328\pi\) | |||||||
\(128\) | −3.34052 | + | 18.9450i | −0.295263 | + | 1.67452i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 23.7891 | + | 8.65854i | 2.08645 | + | 0.759404i | ||||
\(131\) | 0.765960 | + | 4.34397i | 0.0669222 | + | 0.379535i | 0.999812 | + | 0.0193735i | \(0.00616717\pi\) |
−0.932890 | + | 0.360161i | \(0.882722\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 4.27039 | + | 3.58328i | 0.370290 | + | 0.310710i | ||||
\(134\) | −14.4493 | −1.24823 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −12.9044 | −1.10655 | ||||||||
\(137\) | −13.9173 | − | 11.6780i | −1.18903 | − | 0.997716i | −0.999876 | − | 0.0157685i | \(-0.994981\pi\) |
−0.189156 | − | 0.981947i | \(-0.560575\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 0.339993 | + | 1.92820i | 0.0288379 | + | 0.163548i | 0.995826 | − | 0.0912747i | \(-0.0290941\pi\) |
−0.966988 | + | 0.254822i | \(0.917983\pi\) | |||||||
\(140\) | 31.0955 | + | 11.3178i | 2.62805 | + | 0.956531i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −6.32344 | + | 35.8620i | −0.530652 | + | 3.00948i | ||||
\(143\) | 5.74214 | − | 9.94568i | 0.480182 | − | 0.831700i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.89791 | + | 6.75138i | 0.323704 | + | 0.560671i | ||||
\(146\) | −4.34521 | + | 1.58153i | −0.359613 | + | 0.130888i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −31.8690 | + | 26.7412i | −2.61961 | + | 2.19812i | ||||
\(149\) | −5.60376 | + | 4.70211i | −0.459078 | + | 0.385212i | −0.842792 | − | 0.538240i | \(-0.819089\pi\) |
0.383714 | + | 0.923452i | \(0.374645\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.55844 | + | 1.65913i | −0.370960 | + | 0.135018i | −0.520771 | − | 0.853696i | \(-0.674356\pi\) |
0.149811 | + | 0.988715i | \(0.452133\pi\) | |||||||
\(152\) | 5.25835 | + | 9.10773i | 0.426508 | + | 0.738734i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 11.2208 | − | 19.4349i | 0.904194 | − | 1.56611i | ||||
\(155\) | 4.12646 | − | 23.4023i | 0.331445 | − | 1.87972i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.38765 | − | 0.505062i | −0.110746 | − | 0.0403083i | 0.286053 | − | 0.958214i | \(-0.407657\pi\) |
−0.396799 | + | 0.917906i | \(0.629879\pi\) | |||||||
\(158\) | 7.33802 | + | 41.6160i | 0.583782 | + | 3.31079i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.954443 | + | 0.800873i | 0.0754554 | + | 0.0633146i | ||||
\(161\) | 1.42091 | 0.111983 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −17.2536 | −1.35141 | −0.675703 | − | 0.737174i | \(-0.736160\pi\) | ||||
−0.675703 | + | 0.737174i | \(0.736160\pi\) | |||||||
\(164\) | 15.1209 | + | 12.6880i | 1.18075 | + | 0.990765i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.69384 | − | 9.60625i | −0.131468 | − | 0.745589i | ||||
\(167\) | 6.42784 | + | 2.33954i | 0.497401 | + | 0.181039i | 0.578525 | − | 0.815665i | \(-0.303629\pi\) |
−0.0811236 | + | 0.996704i | \(0.525851\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.315685 | + | 1.79034i | −0.0242835 | + | 0.137718i | ||||
\(170\) | 9.73894 | − | 16.8683i | 0.746942 | − | 1.29374i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −5.53881 | − | 9.59350i | −0.422330 | − | 0.731497i | ||||
\(173\) | −22.5220 | + | 8.19733i | −1.71231 | + | 0.623231i | −0.997130 | − | 0.0757055i | \(-0.975879\pi\) |
−0.715184 | + | 0.698937i | \(0.753657\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −9.14056 | + | 7.66984i | −0.690961 | + | 0.579785i | ||||
\(176\) | 11.1707 | − | 9.37334i | 0.842024 | − | 0.706542i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 11.7760 | − | 4.28612i | 0.882649 | − | 0.321258i | ||||
\(179\) | −10.2861 | − | 17.8161i | −0.768820 | − | 1.33163i | −0.938203 | − | 0.346084i | \(-0.887511\pi\) |
0.169384 | − | 0.985550i | \(-0.445822\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.73507 | − | 13.3975i | 0.574943 | − | 0.995830i | −0.421105 | − | 0.907012i | \(-0.638358\pi\) |
0.996048 | − | 0.0888184i | \(-0.0283091\pi\) | |||||||
\(182\) | 3.79437 | − | 21.5189i | 0.281257 | − | 1.59509i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 2.51894 | + | 0.916820i | 0.185699 | + | 0.0675888i | ||||
\(185\) | −5.50697 | − | 31.2316i | −0.404880 | − | 2.29619i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.76872 | − | 5.67963i | −0.494978 | − | 0.415336i | ||||
\(188\) | 22.8624 | 1.66741 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −15.8738 | −1.15161 | ||||||||
\(191\) | 8.38884 | + | 7.03907i | 0.606995 | + | 0.509329i | 0.893685 | − | 0.448694i | \(-0.148111\pi\) |
−0.286691 | + | 0.958023i | \(0.592555\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.198801 | + | 1.12746i | 0.0143100 | + | 0.0811562i | 0.991126 | − | 0.132923i | \(-0.0424362\pi\) |
−0.976816 | + | 0.214079i | \(0.931325\pi\) | |||||||
\(194\) | 24.5550 | + | 8.93730i | 1.76295 | + | 0.641661i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.0480717 | − | 0.272628i | 0.00343370 | − | 0.0194735i | ||||
\(197\) | −2.52097 | + | 4.36645i | −0.179612 | + | 0.311097i | −0.941748 | − | 0.336320i | \(-0.890818\pi\) |
0.762136 | + | 0.647417i | \(0.224151\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.86291 | − | 11.8869i | −0.486499 | − | 0.842640i | 0.513381 | − | 0.858161i | \(-0.328393\pi\) |
−0.999880 | + | 0.0155206i | \(0.995059\pi\) | |||||||
\(200\) | −21.1529 | + | 7.69904i | −1.49574 | + | 0.544404i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −10.6529 | + | 8.93886i | −0.749536 | + | 0.628936i | ||||
\(203\) | 5.15456 | − | 4.32519i | 0.361779 | − | 0.303569i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −14.1397 | + | 5.14641i | −0.987556 | + | 0.359441i | ||||
\(206\) | −12.7443 | − | 22.0738i | −0.887938 | − | 1.53795i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 7.09927 | − | 12.2963i | 0.492246 | − | 0.852595i | ||||
\(209\) | −1.25044 | + | 7.09160i | −0.0864948 | + | 0.490536i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.48323 | + | 1.99573i | 0.377481 | + | 0.137392i | 0.523791 | − | 0.851847i | \(-0.324517\pi\) |
−0.146310 | + | 0.989239i | \(0.546740\pi\) | |||||||
\(212\) | −4.50930 | − | 25.5735i | −0.309700 | − | 1.75640i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 26.8215 | + | 22.5059i | 1.83348 | + | 1.53847i | ||||
\(215\) | 8.44451 | 0.575911 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −20.5108 | −1.39237 | ||||||||
\(218\) | 10.8460 | + | 9.10086i | 0.734583 | + | 0.616388i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 7.42269 | + | 42.0961i | 0.500437 | + | 2.83812i | ||||
\(221\) | −8.08454 | − | 2.94253i | −0.543825 | − | 0.197936i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.51572 | − | 8.59607i | 0.101500 | − | 0.575635i | −0.891061 | − | 0.453884i | \(-0.850038\pi\) |
0.992561 | − | 0.121751i | \(-0.0388510\pi\) | |||||||
\(224\) | 0.537703 | − | 0.931329i | 0.0359268 | − | 0.0622270i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −14.0299 | − | 24.3005i | −0.933256 | − | 1.61645i | ||||
\(227\) | 22.8181 | − | 8.30511i | 1.51449 | − | 0.551230i | 0.554726 | − | 0.832033i | \(-0.312823\pi\) |
0.959765 | + | 0.280804i | \(0.0906010\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 13.9048 | − | 11.6675i | 0.918855 | − | 0.771011i | −0.0549279 | − | 0.998490i | \(-0.517493\pi\) |
0.973783 | + | 0.227479i | \(0.0730485\pi\) | |||||||
\(230\) | −3.09948 | + | 2.60077i | −0.204374 | + | 0.171490i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 11.9286 | − | 4.34166i | 0.783151 | − | 0.285044i | ||||
\(233\) | 5.26900 | + | 9.12617i | 0.345183 | + | 0.597875i | 0.985387 | − | 0.170330i | \(-0.0544834\pi\) |
−0.640204 | + | 0.768205i | \(0.721150\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −8.71406 | + | 15.0932i | −0.568442 | + | 0.984571i | ||||
\(236\) | −1.16122 | + | 6.58561i | −0.0755890 | + | 0.428687i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −15.7981 | − | 5.75002i | −1.02404 | − | 0.372718i | ||||
\(239\) | 1.65601 | + | 9.39172i | 0.107119 | + | 0.607500i | 0.990353 | + | 0.138568i | \(0.0442499\pi\) |
−0.883234 | + | 0.468932i | \(0.844639\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −5.39087 | − | 4.52348i | −0.347256 | − | 0.291383i | 0.452431 | − | 0.891799i | \(-0.350557\pi\) |
−0.799687 | + | 0.600417i | \(0.795001\pi\) | |||||||
\(242\) | 1.95320 | 0.125556 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 58.0742 | 3.71782 | ||||||||
\(245\) | 0.161660 | + | 0.135649i | 0.0103281 | + | 0.00866627i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.21753 | + | 6.90496i | 0.0774697 | + | 0.439352i | ||||
\(248\) | −36.3609 | − | 13.2343i | −2.30892 | − | 0.840379i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.673063 | + | 3.81713i | −0.0425683 | + | 0.241417i | ||||
\(251\) | −7.79350 | + | 13.4987i | −0.491921 | + | 0.852033i | −0.999957 | − | 0.00930331i | \(-0.997039\pi\) |
0.508035 | + | 0.861336i | \(0.330372\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.917731 | + | 1.58956i | 0.0576973 | + | 0.0999346i | ||||
\(254\) | −5.98223 | + | 2.17735i | −0.375358 | + | 0.136619i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −24.7320 | + | 20.7526i | −1.54575 | + | 1.29704i | ||||
\(257\) | 9.33791 | − | 7.83544i | 0.582483 | − | 0.488761i | −0.303279 | − | 0.952902i | \(-0.598081\pi\) |
0.885761 | + | 0.464141i | \(0.153637\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −25.7220 | + | 9.36203i | −1.59828 | + | 0.581728i | ||||
\(260\) | 20.8103 | + | 36.0445i | 1.29060 | + | 2.23538i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −5.42064 | + | 9.38882i | −0.334888 | + | 0.580043i | ||||
\(263\) | −1.19637 | + | 6.78496i | −0.0737715 | + | 0.418379i | 0.925448 | + | 0.378875i | \(0.123689\pi\) |
−0.999219 | + | 0.0395040i | \(0.987422\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 18.6017 | + | 6.77047i | 1.14269 | + | 0.415907i | ||||
\(266\) | 2.37919 | + | 13.4930i | 0.145877 | + | 0.827311i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −18.1977 | − | 15.2697i | −1.11160 | − | 0.932743i | ||||
\(269\) | 7.05875 | 0.430380 | 0.215190 | − | 0.976572i | \(-0.430963\pi\) | ||||
0.215190 | + | 0.976572i | \(0.430963\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 23.7575 | 1.44316 | 0.721581 | − | 0.692330i | \(-0.243416\pi\) | ||||
0.721581 | + | 0.692330i | \(0.243416\pi\) | |||||||
\(272\) | −8.36848 | − | 7.02199i | −0.507413 | − | 0.425770i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −7.75380 | − | 43.9740i | −0.468424 | − | 2.65656i | ||||
\(275\) | −14.4838 | − | 5.27169i | −0.873409 | − | 0.317895i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.0181399 | + | 0.102877i | −0.00108992 | + | 0.00618126i | −0.985348 | − | 0.170557i | \(-0.945443\pi\) |
0.984258 | + | 0.176738i | \(0.0565545\pi\) | |||||||
\(278\) | −2.40611 | + | 4.16750i | −0.144309 | + | 0.249950i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 20.5377 | + | 35.5723i | 1.22736 | + | 2.12585i | ||||
\(281\) | −7.66056 | + | 2.78822i | −0.456991 | + | 0.166331i | −0.560250 | − | 0.828323i | \(-0.689295\pi\) |
0.103260 | + | 0.994654i | \(0.467073\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 18.0909 | − | 15.1801i | 1.07539 | − | 0.902361i | 0.0798620 | − | 0.996806i | \(-0.474552\pi\) |
0.995530 | + | 0.0944449i | \(0.0301076\pi\) | |||||||
\(284\) | −45.8619 | + | 38.4827i | −2.72141 | + | 2.28353i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 26.5237 | − | 9.65384i | 1.56838 | − | 0.570844i | ||||
\(287\) | 6.49380 | + | 11.2476i | 0.383317 | + | 0.663925i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.19030 | − | 8.98987i | 0.305312 | − | 0.528816i | ||||
\(290\) | −3.32718 | + | 18.8694i | −0.195379 | + | 1.10805i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −7.14375 | − | 2.60011i | −0.418056 | − | 0.152160i | ||||
\(293\) | 3.75527 | + | 21.2972i | 0.219385 | + | 1.24420i | 0.873132 | + | 0.487483i | \(0.162085\pi\) |
−0.653747 | + | 0.756713i | \(0.726804\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.90505 | − | 3.27673i | −0.227361 | − | 0.190778i | ||||
\(296\) | −51.6398 | −3.00150 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −17.9792 | −1.04151 | ||||||||
\(299\) | 1.36904 | + | 1.14876i | 0.0791737 | + | 0.0664347i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.26567 | − | 7.17798i | −0.0729521 | − | 0.413732i | ||||
\(302\) | −11.2037 | − | 4.07780i | −0.644699 | − | 0.234651i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.54598 | + | 8.76767i | −0.0886678 | + | 0.502860i | ||||
\(305\) | −22.1351 | + | 38.3391i | −1.26745 | + | 2.19529i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −8.17997 | − | 14.1681i | −0.466855 | − | 0.808617i | 0.532428 | − | 0.846475i | \(-0.321280\pi\) |
−0.999283 | + | 0.0378581i | \(0.987946\pi\) | |||||||
\(308\) | 34.6699 | − | 12.6188i | 1.97550 | − | 0.719024i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 44.7410 | − | 37.5421i | 2.54112 | − | 2.13225i | ||||
\(311\) | 5.94057 | − | 4.98473i | 0.336859 | − | 0.282658i | −0.458629 | − | 0.888628i | \(-0.651659\pi\) |
0.795488 | + | 0.605970i | \(0.207215\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −14.4882 | + | 5.27329i | −0.818923 | + | 0.298064i | −0.717305 | − | 0.696760i | \(-0.754624\pi\) |
−0.101619 | + | 0.994823i | \(0.532402\pi\) | |||||||
\(314\) | −1.81471 | − | 3.14317i | −0.102410 | − | 0.177380i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −34.7371 | + | 60.1664i | −1.95412 | + | 3.38463i | ||||
\(317\) | −1.49966 | + | 8.50500i | −0.0842294 | + | 0.477689i | 0.913291 | + | 0.407308i | \(0.133532\pi\) |
−0.997520 | + | 0.0703805i | \(0.977579\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 8.16776 | + | 2.97282i | 0.457307 | + | 0.166446i | ||||
\(320\) | −4.01050 | − | 22.7447i | −0.224194 | − | 1.27147i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 2.67525 | + | 2.24480i | 0.149086 | + | 0.125098i | ||||
\(323\) | 5.39459 | 0.300163 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −15.0077 | −0.832480 | ||||||||
\(326\) | −32.4847 | − | 27.2579i | −1.79916 | − | 1.50967i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 4.25467 | + | 24.1294i | 0.234925 | + | 1.33232i | ||||
\(329\) | 14.1355 | + | 5.14492i | 0.779318 | + | 0.283648i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3.56752 | − | 20.2324i | 0.196089 | − | 1.11207i | −0.714772 | − | 0.699358i | \(-0.753469\pi\) |
0.910860 | − | 0.412715i | \(-0.135420\pi\) | |||||||
\(332\) | 8.01839 | − | 13.8883i | 0.440066 | − | 0.762217i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 8.40609 | + | 14.5598i | 0.459961 | + | 0.796675i | ||||
\(335\) | 17.0167 | − | 6.19358i | 0.929723 | − | 0.338391i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 12.2400 | − | 10.2706i | 0.666756 | − | 0.559475i | −0.245347 | − | 0.969435i | \(-0.578902\pi\) |
0.912103 | + | 0.409961i | \(0.134458\pi\) | |||||||
\(338\) | −3.42281 | + | 2.87208i | −0.186176 | + | 0.156220i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 30.0914 | − | 10.9524i | 1.63194 | − | 0.593976i | ||||
\(341\) | −13.2475 | − | 22.9453i | −0.717390 | − | 1.24256i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −9.21426 | + | 15.9596i | −0.497523 | + | 0.861736i | ||||
\(344\) | 2.38774 | − | 13.5415i | 0.128738 | − | 0.730111i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −55.3543 | − | 20.1473i | −2.97586 | − | 1.08313i | ||||
\(347\) | 1.70249 | + | 9.65533i | 0.0913947 | + | 0.518325i | 0.995793 | + | 0.0916351i | \(0.0292093\pi\) |
−0.904398 | + | 0.426690i | \(0.859680\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −7.22761 | − | 6.06468i | −0.386885 | − | 0.324635i | 0.428513 | − | 0.903536i | \(-0.359038\pi\) |
−0.815398 | + | 0.578900i | \(0.803482\pi\) | |||||||
\(350\) | −29.3267 | −1.56758 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.38916 | 0.0740424 | ||||||||
\(353\) | 2.59319 | + | 2.17594i | 0.138021 | + | 0.115814i | 0.709185 | − | 0.705023i | \(-0.249063\pi\) |
−0.571163 | + | 0.820836i | \(0.693508\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −7.92496 | − | 44.9447i | −0.420613 | − | 2.38541i | ||||
\(356\) | 19.3604 | + | 7.04659i | 1.02610 | + | 0.373469i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 8.78003 | − | 49.7940i | 0.464039 | − | 2.63170i | ||||
\(359\) | 17.6137 | − | 30.5078i | 0.929614 | − | 1.61014i | 0.145646 | − | 0.989337i | \(-0.453474\pi\) |
0.783968 | − | 0.620801i | \(-0.213193\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.30179 | + | 12.6471i | 0.384305 | + | 0.665636i | ||||
\(362\) | 35.7293 | − | 13.0044i | 1.87789 | − | 0.683496i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 27.5194 | − | 23.0915i | 1.44241 | − | 1.21032i | ||||
\(365\) | 4.43938 | − | 3.72508i | 0.232368 | − | 0.194980i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 29.6430 | − | 10.7892i | 1.54735 | − | 0.563190i | 0.579558 | − | 0.814931i | \(-0.303225\pi\) |
0.967795 | + | 0.251741i | \(0.0810031\pi\) | |||||||
\(368\) | 1.13463 | + | 1.96524i | 0.0591469 | + | 0.102445i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 38.9724 | − | 67.5021i | 2.02608 | − | 3.50927i | ||||
\(371\) | 2.96697 | − | 16.8265i | 0.154038 | − | 0.873591i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −13.5713 | − | 4.93956i | −0.702697 | − | 0.255761i | −0.0341350 | − | 0.999417i | \(-0.510868\pi\) |
−0.668562 | + | 0.743656i | \(0.733090\pi\) | |||||||
\(374\) | −3.77109 | − | 21.3869i | −0.194999 | − | 1.10589i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 21.7394 | + | 18.2415i | 1.12112 | + | 0.940733i | ||||
\(377\) | 8.46320 | 0.435877 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1.00099 | 0.0514176 | 0.0257088 | − | 0.999669i | \(-0.491816\pi\) | ||||
0.0257088 | + | 0.999669i | \(0.491816\pi\) | |||||||
\(380\) | −19.9918 | − | 16.7751i | −1.02556 | − | 0.860543i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 4.67372 | + | 26.5060i | 0.239128 | + | 1.35616i | ||||
\(383\) | 3.86903 | + | 1.40821i | 0.197698 | + | 0.0719563i | 0.438972 | − | 0.898501i | \(-0.355343\pi\) |
−0.241273 | + | 0.970457i | \(0.577565\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −4.88388 | + | 27.6979i | −0.248906 | + | 1.41161i | ||||
\(386\) | −1.40690 | + | 2.43683i | −0.0716094 | + | 0.124031i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 21.4803 | + | 37.2049i | 1.09050 | + | 1.88879i | ||||
\(389\) | −14.5840 | + | 5.30812i | −0.739436 | + | 0.269133i | −0.684153 | − | 0.729338i | \(-0.739828\pi\) |
−0.0552823 | + | 0.998471i | \(0.517606\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.05333 | − | 0.883850i | 0.0532693 | − | 0.0446982i | ||||
\(392\) | 0.263235 | − | 0.220880i | 0.0132954 | − | 0.0111561i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −11.6447 | + | 4.23833i | −0.586652 | + | 0.213524i | ||||
\(395\) | −26.4802 | − | 45.8651i | −1.33237 | − | 2.30772i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0.774463 | − | 1.34141i | 0.0388692 | − | 0.0673234i | −0.845936 | − | 0.533284i | \(-0.820958\pi\) |
0.884806 | + | 0.465960i | \(0.154291\pi\) | |||||||
\(398\) | 5.85805 | − | 33.2226i | 0.293637 | − | 1.66530i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −17.9070 | − | 6.51763i | −0.895352 | − | 0.325882i | ||||
\(401\) | −1.38005 | − | 7.82664i | −0.0689163 | − | 0.390844i | −0.999682 | − | 0.0252269i | \(-0.991969\pi\) |
0.930765 | − | 0.365617i | \(-0.119142\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −19.7621 | − | 16.5824i | −0.984422 | − | 0.826028i | ||||
\(404\) | −22.8628 | −1.13747 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 16.5380 | 0.820766 | ||||||||
\(407\) | −27.0864 | − | 22.7282i | −1.34262 | − | 1.12660i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 4.59393 | + | 26.0535i | 0.227155 | + | 1.28826i | 0.858522 | + | 0.512777i | \(0.171383\pi\) |
−0.631366 | + | 0.775485i | \(0.717506\pi\) | |||||||
\(410\) | −34.7523 | − | 12.6488i | −1.71629 | − | 0.624680i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 7.27665 | − | 41.2679i | 0.358495 | − | 2.03312i | ||||
\(413\) | −2.19998 | + | 3.81048i | −0.108254 | + | 0.187501i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 6.11245 | + | 10.5871i | 0.300048 | + | 0.519699i | ||||
\(416\) | 1.27103 | − | 0.462616i | 0.0623172 | − | 0.0226816i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −13.5579 | + | 11.3764i | −0.663137 | + | 0.556438i | ||||
\(419\) | −29.3701 | + | 24.6445i | −1.43483 | + | 1.20396i | −0.492035 | + | 0.870576i | \(0.663747\pi\) |
−0.942791 | + | 0.333386i | \(0.891809\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.90157 | + | 2.51197i | −0.336362 | + | 0.122426i | −0.504679 | − | 0.863307i | \(-0.668389\pi\) |
0.168317 | + | 0.985733i | \(0.446167\pi\) | |||||||
\(422\) | 7.17076 | + | 12.4201i | 0.349067 | + | 0.604602i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 16.1168 | − | 27.9152i | 0.782702 | − | 1.35568i | ||||
\(425\) | −2.00509 | + | 11.3714i | −0.0972612 | + | 0.551596i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 35.9065 | + | 13.0689i | 1.73764 | + | 0.632449i | ||||
\(428\) | 9.99574 | + | 56.6887i | 0.483162 | + | 2.74015i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 15.8991 | + | 13.3409i | 0.766724 | + | 0.643358i | ||||
\(431\) | 15.8463 | 0.763289 | 0.381644 | − | 0.924309i | \(-0.375358\pi\) | ||||
0.381644 | + | 0.924309i | \(0.375358\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −23.8507 | −1.14619 | −0.573097 | − | 0.819488i | \(-0.694258\pi\) | ||||
−0.573097 | + | 0.819488i | \(0.694258\pi\) | |||||||
\(434\) | −38.6173 | − | 32.4037i | −1.85369 | − | 1.55543i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 4.04204 | + | 22.9235i | 0.193579 | + | 1.09784i | ||||
\(437\) | −1.05302 | − | 0.383269i | −0.0503729 | − | 0.0183342i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −3.72822 | + | 21.1438i | −0.177938 | + | 1.00914i | 0.756760 | + | 0.653693i | \(0.226781\pi\) |
−0.934698 | + | 0.355443i | \(0.884330\pi\) | |||||||
\(440\) | −26.5296 | + | 45.9507i | −1.26475 | + | 2.19061i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −10.5727 | − | 18.3124i | −0.502890 | − | 0.871031i | ||||
\(443\) | 29.6453 | − | 10.7900i | 1.40849 | − | 0.512649i | 0.477806 | − | 0.878466i | \(-0.341432\pi\) |
0.930687 | + | 0.365816i | \(0.119210\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −12.0312 | + | 10.0954i | −0.570334 | + | 0.478567i | ||||
\(446\) | 16.4341 | − | 13.7899i | 0.778179 | − | 0.652970i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −18.7323 | + | 6.81799i | −0.885016 | + | 0.322120i | ||||
\(449\) | 10.3949 | + | 18.0045i | 0.490565 | + | 0.849684i | 0.999941 | − | 0.0108605i | \(-0.00345708\pi\) |
−0.509376 | + | 0.860544i | \(0.670124\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −8.38839 | + | 14.5291i | −0.394994 | + | 0.684149i | ||||
\(452\) | 8.01070 | − | 45.4309i | 0.376791 | − | 2.13689i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 56.0821 | + | 20.4122i | 2.63206 | + | 0.957993i | ||||
\(455\) | 4.75535 | + | 26.9689i | 0.222934 | + | 1.26432i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −13.3504 | − | 11.2023i | −0.624506 | − | 0.524023i | 0.274710 | − | 0.961527i | \(-0.411418\pi\) |
−0.899216 | + | 0.437504i | \(0.855863\pi\) | |||||||
\(458\) | 44.6124 | 2.08460 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −6.65196 | −0.310149 | ||||||||
\(461\) | 23.7508 | + | 19.9293i | 1.10619 | + | 0.928199i | 0.997825 | − | 0.0659123i | \(-0.0209957\pi\) |
0.108360 | + | 0.994112i | \(0.465440\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 1.12662 | + | 6.38938i | 0.0523585 | + | 0.296940i | 0.999731 | − | 0.0231935i | \(-0.00738338\pi\) |
−0.947372 | + | 0.320133i | \(0.896272\pi\) | |||||||
\(464\) | 10.0982 | + | 3.67544i | 0.468796 | + | 0.170628i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −4.49752 | + | 25.5067i | −0.208343 | + | 1.18157i | ||||
\(467\) | 0.971950 | − | 1.68347i | 0.0449765 | − | 0.0779016i | −0.842661 | − | 0.538445i | \(-0.819012\pi\) |
0.887637 | + | 0.460543i | \(0.152345\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −7.81513 | − | 13.5362i | −0.360869 | − | 0.625044i | ||||
\(470\) | −40.2514 | + | 14.6503i | −1.85666 | + | 0.675768i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −6.35871 | + | 5.33559i | −0.292683 | + | 0.245590i | ||||
\(473\) | 7.21247 | − | 6.05198i | 0.331630 | − | 0.278270i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 8.84280 | − | 3.21852i | 0.405736 | − | 0.147676i | ||||
\(476\) | −13.8198 | − | 23.9367i | −0.633431 | − | 1.09713i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −11.7195 | + | 20.2987i | −0.536036 | + | 0.928442i | ||||
\(479\) | −0.230846 | + | 1.30919i | −0.0105476 | + | 0.0598186i | −0.989627 | − | 0.143659i | \(-0.954113\pi\) |
0.979080 | + | 0.203477i | \(0.0652243\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −32.3520 | − | 11.7752i | −1.47512 | − | 0.536901i | ||||
\(482\) | −3.00345 | − | 17.0334i | −0.136803 | − | 0.775849i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 2.45988 | + | 2.06409i | 0.111813 | + | 0.0938222i | ||||
\(485\) | −32.7490 | −1.48705 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 21.2040 | 0.960844 | 0.480422 | − | 0.877037i | \(-0.340484\pi\) | ||||
0.480422 | + | 0.877037i | \(0.340484\pi\) | |||||||
\(488\) | 55.2214 | + | 46.3363i | 2.49976 | + | 2.09754i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.0900663 | + | 0.510792i | 0.00406878 | + | 0.0230752i | ||||
\(491\) | 25.3812 | + | 9.23801i | 1.14544 | + | 0.416906i | 0.843875 | − | 0.536540i | \(-0.180269\pi\) |
0.301564 | + | 0.953446i | \(0.402491\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.13072 | − | 6.41260i | 0.0509248 | − | 0.288809i | ||||
\(494\) | −8.61638 | + | 14.9240i | −0.387669 | + | 0.671463i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −16.3784 | − | 28.3683i | −0.735414 | − | 1.27377i | ||||
\(497\) | −37.0159 | + | 13.4727i | −1.66039 | + | 0.604333i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 11.5205 | − | 9.66683i | 0.515727 | − | 0.432747i | −0.347412 | − | 0.937713i | \(-0.612939\pi\) |
0.863139 | + | 0.504966i | \(0.168495\pi\) | |||||||
\(500\) | −4.88152 | + | 4.09608i | −0.218308 | + | 0.183182i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −35.9992 | + | 13.1026i | −1.60672 | + | 0.584800i | ||||
\(503\) | 2.30325 | + | 3.98934i | 0.102697 | + | 0.177876i | 0.912795 | − | 0.408418i | \(-0.133920\pi\) |
−0.810098 | + | 0.586294i | \(0.800586\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 8.71420 | − | 15.0934i | 0.387777 | − | 0.671649i | ||||
\(506\) | −0.783358 | + | 4.44265i | −0.0348245 | + | 0.197500i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −9.83508 | − | 3.57968i | −0.436361 | − | 0.158822i | ||||
\(509\) | −5.17414 | − | 29.3440i | −0.229340 | − | 1.30065i | −0.854213 | − | 0.519923i | \(-0.825961\pi\) |
0.624874 | − | 0.780726i | \(-0.285151\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.83176 | − | 3.21523i | −0.169507 | − | 0.142233i | ||||
\(512\) | −40.8760 | −1.80648 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 29.9599 | 1.32147 | ||||||||
\(515\) | 24.4705 | + | 20.5332i | 1.07830 | + | 0.904801i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.37424 | + | 19.1363i | 0.148399 | + | 0.841613i | ||||
\(518\) | −63.2192 | − | 23.0099i | −2.77769 | − | 1.01100i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −8.97116 | + | 50.8780i | −0.393411 | + | 2.23115i | ||||
\(521\) | −5.88104 | + | 10.1863i | −0.257653 | + | 0.446268i | −0.965613 | − | 0.259985i | \(-0.916283\pi\) |
0.707960 | + | 0.706253i | \(0.249616\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −14.6926 | − | 25.4484i | −0.642464 | − | 1.11278i | −0.984881 | − | 0.173232i | \(-0.944579\pi\) |
0.342417 | − | 0.939548i | \(-0.388754\pi\) | |||||||
\(524\) | −16.7487 | + | 6.09603i | −0.731670 | + | 0.266306i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −12.9716 | + | 10.8845i | −0.565590 | + | 0.474587i | ||||
\(527\) | −15.2048 | + | 12.7584i | −0.662334 | + | 0.555764i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 21.3445 | − | 7.76877i | 0.928023 | − | 0.337773i | ||||
\(530\) | 24.3266 | + | 42.1350i | 1.05668 | + | 1.83023i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −11.2627 | + | 19.5076i | −0.488301 | + | 0.845761i | ||||
\(533\) | −2.83659 | + | 16.0871i | −0.122866 | + | 0.696809i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −41.2343 | − | 15.0081i | −1.78271 | − | 0.648855i | ||||
\(536\) | −5.12038 | − | 29.0391i | −0.221167 | − | 1.25430i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 13.2901 | + | 11.1517i | 0.572975 | + | 0.480783i | ||||
\(539\) | 0.235290 | 0.0101347 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −22.9116 | −0.985046 | −0.492523 | − | 0.870300i | \(-0.663925\pi\) | ||||
−0.492523 | + | 0.870300i | \(0.663925\pi\) | |||||||
\(542\) | 44.7300 | + | 37.5329i | 1.92132 | + | 1.61218i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −0.180712 | − | 1.02487i | −0.00774797 | − | 0.0439409i | ||||
\(545\) | −16.6742 | − | 6.06890i | −0.714243 | − | 0.259963i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.38900 | + | 13.5487i | −0.102146 | + | 0.579300i | 0.890176 | + | 0.455618i | \(0.150582\pi\) |
−0.992322 | + | 0.123682i | \(0.960530\pi\) | |||||||
\(548\) | 36.7053 | − | 63.5755i | 1.56797 | − | 2.71581i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −18.9414 | − | 32.8075i | −0.807665 | − | 1.39892i | ||||
\(551\) | −4.98665 | + | 1.81499i | −0.212439 | + | 0.0773213i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −35.0172 | + | 29.3830i | −1.48908 | + | 1.24949i | ||||
\(554\) | −0.196682 | + | 0.165036i | −0.00835621 | + | 0.00701169i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −7.43440 | + | 2.70590i | −0.315289 | + | 0.114756i | ||||
\(557\) | 10.9520 | + | 18.9695i | 0.464053 | + | 0.803763i | 0.999158 | − | 0.0410224i | \(-0.0130615\pi\) |
−0.535106 | + | 0.844785i | \(0.679728\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.58371 | − | 7.93922i | 0.193870 | − | 0.335793i | ||||
\(560\) | −6.03817 | + | 34.2442i | −0.255159 | + | 1.44708i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −18.8280 | − | 6.85285i | −0.794213 | − | 0.289070i | ||||
\(563\) | −2.52978 | − | 14.3471i | −0.106618 | − | 0.604658i | −0.990562 | − | 0.137066i | \(-0.956233\pi\) |
0.883944 | − | 0.467592i | \(-0.154878\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 26.9390 | + | 22.6045i | 1.13333 | + | 0.950980i | ||||
\(566\) | 58.0431 | 2.43973 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −74.3137 | −3.11813 | ||||||||
\(569\) | 17.1265 | + | 14.3708i | 0.717979 | + | 0.602456i | 0.926825 | − | 0.375492i | \(-0.122526\pi\) |
−0.208846 | + | 0.977948i | \(0.566971\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −2.67872 | − | 15.1918i | −0.112101 | − | 0.635756i | −0.988145 | − | 0.153525i | \(-0.950937\pi\) |
0.876044 | − | 0.482232i | \(-0.160174\pi\) | |||||||
\(572\) | 43.6063 | + | 15.8714i | 1.82327 | + | 0.663617i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −5.54299 | + | 31.4359i | −0.231360 | + | 1.31211i | ||||
\(575\) | 1.19930 | − | 2.07724i | 0.0500142 | − | 0.0866271i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −16.4040 | − | 28.4126i | −0.682909 | − | 1.18283i | −0.974089 | − | 0.226165i | \(-0.927381\pi\) |
0.291180 | − | 0.956668i | \(-0.405952\pi\) | |||||||
\(578\) | 23.9747 | − | 8.72608i | 0.997216 | − | 0.362957i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −24.1310 | + | 20.2483i | −1.00199 | + | 0.840766i | ||||
\(581\) | 8.08305 | − | 6.78249i | 0.335342 | − | 0.281385i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 20.7400 | − | 7.54874i | 0.858963 | − | 0.312637i | ||||
\(584\) | −4.71825 | − | 8.17225i | −0.195242 | − | 0.338170i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −26.5758 | + | 46.0306i | −1.09784 | + | 1.90151i | ||||
\(587\) | −5.25012 | + | 29.7749i | −0.216696 | + | 1.22894i | 0.661244 | + | 0.750171i | \(0.270029\pi\) |
−0.877939 | + | 0.478772i | \(0.841082\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 15.2004 | + | 5.53248i | 0.626321 | + | 0.227962i | ||||
\(590\) | −2.17564 | − | 12.3387i | −0.0895698 | − | 0.507975i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −33.4882 | − | 28.0999i | −1.37636 | − | 1.15490i | ||||
\(593\) | −41.1023 | −1.68787 | −0.843935 | − | 0.536446i | \(-0.819766\pi\) | ||||
−0.843935 | + | 0.536446i | \(0.819766\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 21.0698 | 0.863778 | ||||||||
\(596\) | −22.6433 | − | 19.0000i | −0.927505 | − | 0.778269i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.762742 | + | 4.32573i | 0.0311908 | + | 0.176892i | ||||
\(599\) | 34.3463 | + | 12.5010i | 1.40335 | + | 0.510778i | 0.929171 | − | 0.369651i | \(-0.120523\pi\) |
0.474179 | + | 0.880428i | \(0.342745\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 0.685182 | − | 3.88586i | 0.0279491 | − | 0.158507i | −0.967639 | − | 0.252339i | \(-0.918800\pi\) |
0.995588 | + | 0.0938312i | \(0.0299114\pi\) | |||||||
\(602\) | 8.95706 | − | 15.5141i | 0.365062 | − | 0.632307i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −9.80076 | − | 16.9754i | −0.398787 | − | 0.690720i | ||||
\(605\) | −2.30025 | + | 0.837222i | −0.0935184 | + | 0.0340379i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 7.66927 | − | 6.43528i | 0.311286 | − | 0.261200i | −0.473737 | − | 0.880666i | \(-0.657095\pi\) |
0.785023 | + | 0.619466i | \(0.212651\pi\) | |||||||
\(608\) | −0.649698 | + | 0.545162i | −0.0263487 | + | 0.0221092i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −102.245 | + | 37.2141i | −4.13978 | + | 1.50676i | ||||
\(611\) | 9.46005 | + | 16.3853i | 0.382712 | + | 0.662877i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 9.37838 | − | 16.2438i | 0.378789 | − | 0.656082i | −0.612097 | − | 0.790783i | \(-0.709674\pi\) |
0.990886 | + | 0.134700i | \(0.0430072\pi\) | |||||||
\(614\) | 6.98227 | − | 39.5984i | 0.281781 | − | 1.59806i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 43.0351 | + | 15.6635i | 1.73394 | + | 0.631101i | ||||
\(617\) | 3.99566 | + | 22.6605i | 0.160859 | + | 0.912277i | 0.953232 | + | 0.302240i | \(0.0977344\pi\) |
−0.792373 | + | 0.610037i | \(0.791155\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 5.67947 | + | 4.76564i | 0.228277 | + | 0.191547i | 0.749751 | − | 0.661720i | \(-0.230173\pi\) |
−0.521474 | + | 0.853267i | \(0.674618\pi\) | |||||||
\(620\) | 96.0211 | 3.85630 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 19.0598 | 0.764229 | ||||||||
\(623\) | 10.3845 | + | 8.71363i | 0.416046 | + | 0.349104i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −4.74021 | − | 26.8831i | −0.189608 | − | 1.07532i | ||||
\(626\) | −35.6090 | − | 12.9606i | −1.42322 | − | 0.518011i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1.03615 | − | 5.87630i | 0.0413469 | − | 0.234490i | ||||
\(629\) | −13.2444 | + | 22.9400i | −0.528090 | + | 0.914679i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 15.4962 | + | 26.8402i | 0.616894 | + | 1.06849i | 0.990049 | + | 0.140723i | \(0.0449426\pi\) |
−0.373155 | + | 0.927769i | \(0.621724\pi\) | |||||||
\(632\) | −81.0363 | + | 29.4948i | −3.22345 | + | 1.17324i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −16.2600 | + | 13.6438i | −0.645769 | + | 0.541864i | ||||
\(635\) | 6.11187 | − | 5.12847i | 0.242542 | − | 0.203517i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.215281 | − | 0.0783560i | 0.00852975 | − | 0.00310458i | ||||
\(638\) | 10.6815 | + | 18.5009i | 0.422884 | + | 0.732457i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 29.6279 | − | 51.3171i | 1.17115 | − | 2.02849i | ||||
\(641\) | 6.13779 | − | 34.8091i | 0.242428 | − | 1.37488i | −0.583962 | − | 0.811781i | \(-0.698498\pi\) |
0.826390 | − | 0.563098i | \(-0.190390\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 18.5128 | + | 6.73812i | 0.730075 | + | 0.265725i | 0.680196 | − | 0.733030i | \(-0.261894\pi\) |
0.0498782 | + | 0.998755i | \(0.484117\pi\) | |||||||
\(644\) | 0.997002 | + | 5.65428i | 0.0392874 | + | 0.222810i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 10.1568 | + | 8.52257i | 0.399614 | + | 0.335316i | ||||
\(647\) | −46.8317 | −1.84114 | −0.920572 | − | 0.390572i | \(-0.872277\pi\) | ||||
−0.920572 | + | 0.390572i | \(0.872277\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −5.68366 | −0.223103 | ||||||||
\(650\) | −28.2562 | − | 23.7098i | −1.10830 | − | 0.929974i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −12.1063 | − | 68.6580i | −0.474117 | − | 2.68885i | ||||
\(653\) | 16.2818 | + | 5.92609i | 0.637156 | + | 0.231906i | 0.640343 | − | 0.768089i | \(-0.278792\pi\) |
−0.00318720 | + | 0.999995i | \(0.501015\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 2.35936 | − | 13.3806i | 0.0921877 | − | 0.522822i | ||||
\(656\) | −10.3709 | + | 17.9630i | −0.404918 | + | 0.701338i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 18.4859 | + | 32.0186i | 0.720657 | + | 1.24821i | ||||
\(659\) | 41.0967 | − | 14.9580i | 1.60090 | − | 0.582680i | 0.621289 | − | 0.783582i | \(-0.286609\pi\) |
0.979611 | + | 0.200902i | \(0.0643872\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −6.96094 | + | 5.84092i | −0.270749 | + | 0.227185i | −0.768046 | − | 0.640395i | \(-0.778771\pi\) |
0.497297 | + | 0.867581i | \(0.334326\pi\) | |||||||
\(662\) | 38.6807 | − | 32.4570i | 1.50337 | − | 1.26148i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 18.7057 | − | 6.80831i | 0.725921 | − | 0.264214i | ||||
\(665\) | −8.58561 | − | 14.8707i | −0.332936 | − | 0.576661i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.676311 | + | 1.17140i | −0.0261868 | + | 0.0453570i | ||||
\(668\) | −4.79965 | + | 27.2201i | −0.185704 | + | 1.05318i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 41.8235 | + | 15.2225i | 1.61578 | + | 0.588097i | ||||
\(671\) | 8.57111 | + | 48.6092i | 0.330884 | + | 1.87654i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 5.74279 | + | 4.81878i | 0.221368 | + | 0.185750i | 0.746727 | − | 0.665131i | \(-0.231624\pi\) |
−0.525358 | + | 0.850881i | \(0.676069\pi\) | |||||||
\(674\) | 39.2711 | 1.51266 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −7.34587 | −0.282534 | ||||||||
\(677\) | −11.7684 | − | 9.87486i | −0.452296 | − | 0.379522i | 0.387991 | − | 0.921663i | \(-0.373169\pi\) |
−0.840287 | + | 0.542142i | \(0.817614\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 4.90845 | + | 27.8372i | 0.188369 | + | 1.06829i | ||||
\(680\) | 37.3519 | + | 13.5950i | 1.43238 | + | 0.521344i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 11.3078 | − | 64.1296i | 0.432997 | − | 2.45565i | ||||
\(683\) | 3.31079 | − | 5.73445i | 0.126684 | − | 0.219423i | −0.795706 | − | 0.605683i | \(-0.792900\pi\) |
0.922390 | + | 0.386260i | \(0.126233\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 27.9806 | + | 48.4639i | 1.06908 | + | 1.85171i | ||||
\(686\) | −42.5619 | + | 15.4913i | −1.62502 | + | 0.591459i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 8.91711 | − | 7.48234i | 0.339962 | − | 0.285262i | ||||
\(689\) | 16.4624 | − | 13.8136i | 0.627169 | − | 0.526257i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 17.5317 | − | 6.38102i | 0.666938 | − | 0.242745i | 0.0137089 | − | 0.999906i | \(-0.495636\pi\) |
0.653229 | + | 0.757161i | \(0.273414\pi\) | |||||||
\(692\) | −48.4228 | − | 83.8708i | −1.84076 | − | 3.18829i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −12.0484 | + | 20.8685i | −0.457352 | + | 0.792157i | ||||
\(695\) | 1.04727 | − | 5.93936i | 0.0397252 | − | 0.225293i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 11.8103 | + | 4.29859i | 0.447346 | + | 0.162821i | ||||
\(698\) | −4.02676 | − | 22.8369i | −0.152415 | − | 0.864389i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −36.9345 | − | 30.9917i | −1.39599 | − | 1.17138i | ||||
\(701\) | −24.8903 | −0.940092 | −0.470046 | − | 0.882642i | \(-0.655763\pi\) | ||||
−0.470046 | + | 0.882642i | \(0.655763\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 21.5876 | 0.814190 | ||||||||
\(704\) | −19.7259 | − | 16.5520i | −0.743449 | − | 0.623828i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.44476 | + | 8.19362i | 0.0543741 | + | 0.308371i | ||||
\(707\) | −14.1358 | − | 5.14500i | −0.531630 | − | 0.193498i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −4.54589 | + | 25.7810i | −0.170725 | + | 0.968227i | 0.772239 | + | 0.635332i | \(0.219137\pi\) |
−0.942964 | + | 0.332895i | \(0.891974\pi\) | |||||||
\(710\) | 56.0843 | − | 97.1409i | 2.10481 | − | 3.64563i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 12.7870 | + | 22.1477i | 0.479212 | + | 0.830020i | ||||
\(713\) | 3.87442 | − | 1.41018i | 0.145098 | − | 0.0528115i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −27.0985 | + | 22.7384i | −1.01343 | + | 0.850367i | ||||
\(716\) | 63.6788 | − | 53.4328i | 2.37979 | − | 1.99688i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 81.3599 | − | 29.6126i | 3.03632 | − | 1.10513i | ||||
\(719\) | 10.5145 | + | 18.2117i | 0.392125 | + | 0.679181i | 0.992730 | − | 0.120365i | \(-0.0384066\pi\) |
−0.600604 | + | 0.799546i | \(0.705073\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 13.7859 | − | 23.8779i | 0.513414 | − | 0.889259i | ||||
\(722\) | −6.23267 | + | 35.3472i | −0.231956 | + | 1.31549i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 58.7408 | + | 21.3799i | 2.18308 | + | 0.794577i | ||||
\(725\) | −1.97242 | − | 11.1861i | −0.0732538 | − | 0.415443i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 31.7109 | + | 26.6086i | 1.17609 | + | 0.986859i | 0.999997 | + | 0.00248653i | \(0.000791488\pi\) |
0.176096 | + | 0.984373i | \(0.443653\pi\) | |||||||
\(728\) | 44.5918 | 1.65268 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 14.2434 | 0.527171 | ||||||||
\(731\) | −5.40318 | − | 4.53381i | −0.199844 | − | 0.167689i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 5.83922 | + | 33.1158i | 0.215676 | + | 1.22316i | 0.879729 | + | 0.475476i | \(0.157724\pi\) |
−0.664052 | + | 0.747686i | \(0.731165\pi\) | |||||||
\(734\) | 72.8563 | + | 26.5175i | 2.68917 | + | 0.978779i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.0375388 | + | 0.212893i | −0.00138370 | + | 0.00784735i | ||||
\(737\) | 10.0952 | − | 17.4854i | 0.371862 | − | 0.644084i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 6.47268 | + | 11.2110i | 0.238101 | + | 0.412403i | 0.960169 | − | 0.279418i | \(-0.0901417\pi\) |
−0.722068 | + | 0.691822i | \(0.756808\pi\) | |||||||
\(740\) | 120.417 | − | 43.8282i | 4.42662 | − | 1.61116i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 32.1693 | − | 26.9933i | 1.18097 | − | 0.990955i | ||||
\(743\) | 0.0673577 | − | 0.0565198i | 0.00247111 | − | 0.00207351i | −0.641551 | − | 0.767080i | \(-0.721709\pi\) |
0.644022 | + | 0.765007i | \(0.277264\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 21.1738 | − | 7.70664i | 0.775749 | − | 0.282349i | ||||
\(746\) | −17.7481 | − | 30.7406i | −0.649803 | − | 1.12549i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 17.8518 | − | 30.9202i | 0.652727 | − | 1.13056i | ||||
\(749\) | −6.57687 | + | 37.2993i | −0.240314 | + | 1.36289i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −46.8869 | − | 17.0654i | −1.71093 | − | 0.622727i | −0.713935 | − | 0.700212i | \(-0.753089\pi\) |
−0.996993 | + | 0.0774854i | \(0.975311\pi\) | |||||||
\(752\) | 4.17173 | + | 23.6591i | 0.152127 | + | 0.862757i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 15.9343 | + | 13.3705i | 0.580293 | + | 0.486924i | ||||
\(755\) | 14.9423 | 0.543806 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −11.8679 | −0.431348 | −0.215674 | − | 0.976465i | \(-0.569195\pi\) | ||||
−0.215674 | + | 0.976465i | \(0.569195\pi\) | |||||||
\(758\) | 1.88465 | + | 1.58141i | 0.0684534 | + | 0.0574392i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −5.62519 | − | 31.9021i | −0.204047 | − | 1.15721i | ||||
\(761\) | 3.56172 | + | 1.29636i | 0.129112 | + | 0.0469930i | 0.405768 | − | 0.913976i | \(-0.367004\pi\) |
−0.276656 | + | 0.960969i | \(0.589226\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −2.65953 | + | 15.0829i | −0.0962814 | + | 0.546039i | ||||
\(764\) | −22.1247 | + | 38.3211i | −0.800444 | + | 1.38641i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 5.05978 | + | 8.76379i | 0.182817 | + | 0.316649i | ||||
\(767\) | −5.20033 | + | 1.89277i | −0.187773 | + | 0.0683438i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 4.80272 | − | 4.02996i | 0.173190 | − | 0.145324i | −0.552072 | − | 0.833796i | \(-0.686163\pi\) |
0.725263 | + | 0.688472i | \(0.241718\pi\) | |||||||
\(770\) | −52.9534 | + | 44.4332i | −1.90831 | + | 1.60126i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −4.34705 | + | 1.58220i | −0.156454 | + | 0.0569445i | ||||
\(773\) | −0.647678 | − | 1.12181i | −0.0232954 | − | 0.0403487i | 0.854143 | − | 0.520039i | \(-0.174082\pi\) |
−0.877438 | + | 0.479690i | \(0.840749\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −17.3119 | + | 29.9850i | −0.621861 | + | 1.07709i | ||||
\(776\) | −9.25998 | + | 52.5160i | −0.332414 | + | 1.88521i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −35.8443 | − | 13.0463i | −1.28508 | − | 0.467731i | ||||
\(779\) | −1.77863 | − | 10.0871i | −0.0637259 | − | 0.361408i | ||||
\(780\) | 0 |