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 | 568.1 | ||
Root | \(-1.91182i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.568 |
Dual form | 729.2.e.j.163.1 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.30957 | − | 0.840614i | −1.63311 | − | 0.594404i | −0.647295 | − | 0.762239i | \(-0.724100\pi\) |
−0.985815 | + | 0.167836i | \(0.946322\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 3.09538 | + | 2.59733i | 1.54769 | + | 1.29867i | ||||
\(5\) | 0.534882 | − | 3.03347i | 0.239207 | − | 1.35661i | −0.594365 | − | 0.804196i | \(-0.702596\pi\) |
0.833571 | − | 0.552412i | \(-0.186292\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.03666 | + | 1.70896i | −0.769784 | + | 0.645926i | −0.940654 | − | 0.339368i | \(-0.889787\pi\) |
0.170870 | + | 0.985294i | \(0.445342\pi\) | |||||||
\(8\) | −2.50784 | − | 4.34371i | −0.886656 | − | 1.53573i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.78532 | + | 6.55636i | −1.19702 | + | 2.07330i | ||||
\(11\) | 0.596367 | + | 3.38217i | 0.179811 | + | 1.01976i | 0.932442 | + | 0.361319i | \(0.117673\pi\) |
−0.752631 | + | 0.658443i | \(0.771216\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.14229 | − | 1.14370i | 0.871515 | − | 0.317205i | 0.132734 | − | 0.991152i | \(-0.457624\pi\) |
0.738780 | + | 0.673946i | \(0.235402\pi\) | |||||||
\(14\) | 6.14037 | − | 2.23491i | 1.64108 | − | 0.597305i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.737316 | + | 4.18153i | 0.184329 | + | 1.04538i | ||||
\(17\) | 1.28641 | − | 2.22813i | 0.312000 | − | 0.540400i | −0.666795 | − | 0.745241i | \(-0.732334\pi\) |
0.978795 | + | 0.204841i | \(0.0656678\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.04838 | + | 1.81585i | 0.240515 | + | 0.416585i | 0.960861 | − | 0.277030i | \(-0.0893503\pi\) |
−0.720346 | + | 0.693615i | \(0.756017\pi\) | |||||||
\(20\) | 9.53458 | − | 8.00046i | 2.13200 | − | 1.78896i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.46574 | − | 8.31265i | 0.312498 | − | 1.77226i | ||||
\(23\) | −0.409408 | − | 0.343534i | −0.0853674 | − | 0.0716318i | 0.599105 | − | 0.800670i | \(-0.295523\pi\) |
−0.684473 | + | 0.729038i | \(0.739968\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.21736 | − | 1.53499i | −0.843472 | − | 0.306999i | ||||
\(26\) | −8.21874 | −1.61183 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −10.7430 | −2.03023 | ||||||||
\(29\) | 2.37826 | + | 0.865617i | 0.441632 | + | 0.160741i | 0.553259 | − | 0.833009i | \(-0.313384\pi\) |
−0.111627 | + | 0.993750i | \(0.535606\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.90980 | + | 4.95891i | 1.06143 | + | 0.890647i | 0.994249 | − | 0.107093i | \(-0.0341544\pi\) |
0.0671832 | + | 0.997741i | \(0.478599\pi\) | |||||||
\(32\) | 0.0702390 | − | 0.398345i | 0.0124166 | − | 0.0704182i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −4.84404 | + | 4.06463i | −0.830746 | + | 0.697079i | ||||
\(35\) | 4.09470 | + | 7.09222i | 0.692130 | + | 1.19880i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.14783 | − | 8.91631i | 0.846298 | − | 1.46583i | −0.0381907 | − | 0.999270i | \(-0.512159\pi\) |
0.884489 | − | 0.466561i | \(-0.154507\pi\) | |||||||
\(38\) | −0.894879 | − | 5.07511i | −0.145169 | − | 0.823292i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −14.5179 | + | 5.28408i | −2.29548 | + | 0.835487i | ||||
\(41\) | −4.59040 | + | 1.67077i | −0.716901 | + | 0.260931i | −0.674610 | − | 0.738175i | \(-0.735688\pi\) |
−0.0422913 | + | 0.999105i | \(0.513466\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.476055 | + | 2.69984i | 0.0725977 | + | 0.411722i | 0.999350 | + | 0.0360490i | \(0.0114772\pi\) |
−0.926752 | + | 0.375673i | \(0.877412\pi\) | |||||||
\(44\) | −6.93862 | + | 12.0180i | −1.04604 | + | 1.81179i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.656775 | + | 1.13757i | 0.0968363 | + | 0.167725i | ||||
\(47\) | 4.33428 | − | 3.63689i | 0.632219 | − | 0.530495i | −0.269398 | − | 0.963029i | \(-0.586825\pi\) |
0.901618 | + | 0.432534i | \(0.142380\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.0118968 | − | 0.0674701i | 0.00169954 | − | 0.00963858i | ||||
\(50\) | 8.44994 | + | 7.09034i | 1.19500 | + | 1.00273i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 12.6971 | + | 4.62138i | 1.76078 | + | 0.640871i | ||||
\(53\) | −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 | ||||||||
\(56\) | 12.5308 | + | 4.56085i | 1.67450 | + | 0.609469i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.76511 | − | 3.99840i | −0.625689 | − | 0.525015i | ||||
\(59\) | −0.287379 | + | 1.62981i | −0.0374136 | + | 0.212183i | −0.997783 | − | 0.0665462i | \(-0.978802\pi\) |
0.960370 | + | 0.278729i | \(0.0899131\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 11.0098 | − | 9.23828i | 1.40965 | − | 1.18284i | 0.453037 | − | 0.891492i | \(-0.350341\pi\) |
0.956617 | − | 0.291349i | \(-0.0941039\pi\) | |||||||
\(62\) | −9.48056 | − | 16.4208i | −1.20403 | − | 2.08544i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 3.74896 | − | 6.49338i | 0.468620 | − | 0.811673i | ||||
\(65\) | −1.78862 | − | 10.1438i | −0.221851 | − | 1.25818i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.52444 | − | 2.01073i | 0.674917 | − | 0.245650i | 0.0182537 | − | 0.999833i | \(-0.494189\pi\) |
0.656664 | + | 0.754184i | \(0.271967\pi\) | |||||||
\(68\) | 9.76910 | − | 3.55566i | 1.18468 | − | 0.431187i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −3.49516 | − | 19.8220i | −0.417751 | − | 2.36918i | ||||
\(71\) | 7.40813 | − | 12.8313i | 0.879184 | − | 1.52279i | 0.0269456 | − | 0.999637i | \(-0.491422\pi\) |
0.852238 | − | 0.523154i | \(-0.175245\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.940699 | − | 1.62934i | −0.110101 | − | 0.190700i | 0.805710 | − | 0.592310i | \(-0.201784\pi\) |
−0.915811 | + | 0.401610i | \(0.868451\pi\) | |||||||
\(74\) | −19.3844 | + | 16.2655i | −2.25339 | + | 1.89082i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.47123 | + | 8.34374i | −0.168761 | + | 0.957092i | ||||
\(77\) | −6.99457 | − | 5.86915i | −0.797106 | − | 0.668851i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −16.1566 | − | 5.88052i | −1.81776 | − | 0.661610i | −0.995746 | − | 0.0921413i | \(-0.970629\pi\) |
−0.822013 | − | 0.569469i | \(-0.807149\pi\) | |||||||
\(80\) | 13.0789 | 1.46227 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 12.0063 | 1.32588 | ||||||||
\(83\) | 3.72944 | + | 1.35740i | 0.409359 | + | 0.148994i | 0.538488 | − | 0.842633i | \(-0.318996\pi\) |
−0.129129 | + | 0.991628i | \(0.541218\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −6.07087 | − | 5.09406i | −0.658478 | − | 0.552529i | ||||
\(86\) | 1.17004 | − | 6.63564i | 0.126169 | − | 0.715539i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 13.1955 | − | 11.0724i | 1.40665 | − | 1.18032i | ||||
\(89\) | 2.54940 | + | 4.41569i | 0.270236 | + | 0.468062i | 0.968922 | − | 0.247366i | \(-0.0795651\pi\) |
−0.698686 | + | 0.715428i | \(0.746232\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.44523 | + | 7.69937i | −0.465987 | + | 0.807113i | ||||
\(92\) | −0.375001 | − | 2.12674i | −0.0390965 | − | 0.221727i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −13.0675 | + | 4.75619i | −1.34781 | + | 0.490563i | ||||
\(95\) | 6.06908 | − | 2.20897i | 0.622675 | − | 0.226635i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.84621 | − | 10.4704i | −0.187454 | − | 1.06310i | −0.922762 | − | 0.385371i | \(-0.874074\pi\) |
0.735308 | − | 0.677733i | \(-0.237037\pi\) | |||||||
\(98\) | −0.0841927 | + | 0.145826i | −0.00850475 | + | 0.0147307i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −9.06744 | − | 15.7053i | −0.906744 | − | 1.57053i | ||||
\(101\) | −4.33435 | + | 3.63695i | −0.431284 | + | 0.361890i | −0.832436 | − | 0.554121i | \(-0.813054\pi\) |
0.401152 | + | 0.916011i | \(0.368610\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.80083 | − | 10.2130i | 0.177441 | − | 1.00632i | −0.757848 | − | 0.652431i | \(-0.773749\pi\) |
0.935289 | − | 0.353885i | \(-0.115140\pi\) | |||||||
\(104\) | −12.8483 | − | 10.7810i | −1.25988 | − | 1.05716i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 14.8426 | + | 5.40227i | 1.44164 | + | 0.524714i | ||||
\(107\) | 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 | \(0.411029\pi\) | |||||||
\(110\) | −24.4321 | − | 8.89257i | −2.32951 | − | 0.847874i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −8.64771 | − | 7.25629i | −0.817132 | − | 0.685655i | ||||
\(113\) | 1.98249 | − | 11.2432i | 0.186497 | − | 1.05768i | −0.737520 | − | 0.675325i | \(-0.764003\pi\) |
0.924017 | − | 0.382351i | \(-0.124885\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.26108 | + | 1.05818i | −0.117597 | + | 0.0986753i | ||||
\(116\) | 5.11333 | + | 8.85654i | 0.474761 | + | 0.822309i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 2.03376 | − | 3.52257i | 0.187223 | − | 0.324279i | ||||
\(119\) | 1.18780 | + | 6.73635i | 0.108885 | + | 0.617520i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.746770 | + | 0.271802i | −0.0678882 | + | 0.0247093i | ||||
\(122\) | −33.1936 | + | 12.0815i | −3.00520 | + | 1.09381i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 5.41314 | + | 30.6994i | 0.486114 | + | 2.75689i | ||||
\(125\) | 0.788517 | − | 1.36575i | 0.0705271 | − | 0.122157i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.29510 | − | 2.24317i | −0.114921 | − | 0.199049i | 0.802827 | − | 0.596212i | \(-0.203328\pi\) |
−0.917748 | + | 0.397163i | \(0.869995\pi\) | |||||||
\(128\) | −14.7366 | + | 12.3655i | −1.30254 | + | 1.09296i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −4.39606 | + | 24.9313i | −0.385560 | + | 2.18662i | ||||
\(131\) | 3.37901 | + | 2.83533i | 0.295226 | + | 0.247724i | 0.778354 | − | 0.627826i | \(-0.216055\pi\) |
−0.483128 | + | 0.875550i | \(0.660499\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.23841 | − | 1.90662i | −0.454227 | − | 0.165325i | ||||
\(134\) | −14.4493 | −1.24823 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −12.9044 | −1.10655 | ||||||||
\(137\) | 17.0720 | + | 6.21371i | 1.45856 | + | 0.530873i | 0.944969 | − | 0.327160i | \(-0.106092\pi\) |
0.513594 | + | 0.858033i | \(0.328314\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.49987 | + | 1.25854i | 0.127217 | + | 0.106748i | 0.704177 | − | 0.710025i | \(-0.251316\pi\) |
−0.576959 | + | 0.816773i | \(0.695761\pi\) | |||||||
\(140\) | −5.74621 | + | 32.5884i | −0.485644 | + | 2.75422i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −27.8957 | + | 23.4073i | −2.34096 | + | 1.96430i | ||||
\(143\) | 5.74214 | + | 9.94568i | 0.480182 | + | 0.831700i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.89791 | − | 6.75138i | 0.323704 | − | 0.560671i | ||||
\(146\) | 0.802963 | + | 4.55383i | 0.0664537 | + | 0.376878i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 39.0931 | − | 14.2287i | 3.21343 | − | 1.16959i | ||||
\(149\) | 6.87403 | − | 2.50194i | 0.563142 | − | 0.204967i | −0.0447337 | − | 0.998999i | \(-0.514244\pi\) |
0.607876 | + | 0.794032i | \(0.292022\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.842365 | + | 4.77729i | 0.0685507 | + | 0.388770i | 0.999708 | + | 0.0241532i | \(0.00768897\pi\) |
−0.931158 | + | 0.364617i | \(0.881200\pi\) | |||||||
\(152\) | 5.25835 | − | 9.10773i | 0.426508 | − | 0.738734i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 11.2208 | + | 19.4349i | 0.904194 | + | 1.56611i | ||||
\(155\) | 18.2038 | − | 15.2748i | 1.46216 | − | 1.22690i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.256427 | − | 1.45427i | 0.0204651 | − | 0.116063i | −0.972864 | − | 0.231378i | \(-0.925677\pi\) |
0.993329 | + | 0.115315i | \(0.0367877\pi\) | |||||||
\(158\) | 32.3715 | + | 27.1629i | 2.57534 | + | 2.16096i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.17080 | − | 0.426136i | −0.0925597 | − | 0.0336890i | ||||
\(161\) | 1.42091 | 0.111983 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −17.2536 | −1.35141 | −0.675703 | − | 0.737174i | \(-0.736160\pi\) | ||||
−0.675703 | + | 0.737174i | \(0.736160\pi\) | |||||||
\(164\) | −18.5486 | − | 6.75113i | −1.44840 | − | 0.527175i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −7.47233 | − | 6.27003i | −0.579965 | − | 0.486649i | ||||
\(167\) | −1.18782 | + | 6.73644i | −0.0919160 | + | 0.521282i | 0.903733 | + | 0.428097i | \(0.140816\pi\) |
−0.995649 | + | 0.0931847i | \(0.970295\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.39264 | + | 1.16856i | −0.107126 | + | 0.0898893i | ||||
\(170\) | 9.73894 | + | 16.8683i | 0.746942 | + | 1.29374i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −5.53881 | + | 9.59350i | −0.422330 | + | 0.731497i | ||||
\(173\) | 4.16189 | + | 23.6033i | 0.316423 | + | 1.79452i | 0.564128 | + | 0.825687i | \(0.309212\pi\) |
−0.247705 | + | 0.968835i | \(0.579676\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 11.2126 | − | 4.08104i | 0.847589 | − | 0.308497i | ||||
\(176\) | −13.7029 | + | 4.98745i | −1.03290 | + | 0.375943i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −2.17612 | − | 12.3414i | −0.163107 | − | 0.925026i | ||||
\(179\) | −10.2861 | + | 17.8161i | −0.768820 | + | 1.33163i | 0.169384 | + | 0.985550i | \(0.445822\pi\) |
−0.938203 | + | 0.346084i | \(0.887511\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.73507 | + | 13.3975i | 0.574943 | + | 0.995830i | 0.996048 | + | 0.0888184i | \(0.0283091\pi\) |
−0.421105 | + | 0.907012i | \(0.638358\pi\) | |||||||
\(182\) | 16.7388 | − | 14.0455i | 1.24076 | − | 1.04112i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.465482 | + | 2.63988i | −0.0343158 | + | 0.194614i | ||||
\(185\) | −24.2938 | − | 20.3849i | −1.78612 | − | 1.49873i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 8.30306 | + | 3.02207i | 0.607180 | + | 0.220995i | ||||
\(188\) | 22.8624 | 1.66741 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −15.8738 | −1.15161 | ||||||||
\(191\) | −10.2904 | − | 3.74541i | −0.744589 | − | 0.271008i | −0.0582623 | − | 0.998301i | \(-0.518556\pi\) |
−0.686327 | + | 0.727293i | \(0.740778\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.877007 | + | 0.735896i | 0.0631284 | + | 0.0529710i | 0.673806 | − | 0.738908i | \(-0.264658\pi\) |
−0.610678 | + | 0.791879i | \(0.709103\pi\) | |||||||
\(194\) | −4.53759 | + | 25.7339i | −0.325780 | + | 1.84759i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.212067 | − | 0.177946i | 0.0151477 | − | 0.0127104i | ||||
\(197\) | −2.52097 | − | 4.36645i | −0.179612 | − | 0.311097i | 0.762136 | − | 0.647417i | \(-0.224151\pi\) |
−0.941748 | + | 0.336320i | \(0.890818\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.86291 | + | 11.8869i | −0.486499 | + | 0.842640i | −0.999880 | − | 0.0155206i | \(-0.995059\pi\) |
0.513381 | + | 0.858161i | \(0.328393\pi\) | |||||||
\(200\) | 3.90890 | + | 22.1685i | 0.276401 | + | 1.56755i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 13.0677 | − | 4.75627i | 0.919443 | − | 0.334650i | ||||
\(203\) | −6.32301 | + | 2.30139i | −0.443788 | + | 0.161526i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.61290 | + | 14.8185i | 0.182493 | + | 1.03497i | ||||
\(206\) | −12.7443 | + | 22.0738i | −0.887938 | + | 1.53795i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 7.09927 | + | 12.2963i | 0.492246 | + | 0.852595i | ||||
\(209\) | −5.51629 | + | 4.62871i | −0.381569 | + | 0.320175i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.01326 | + | 5.74648i | −0.0697557 | + | 0.395604i | 0.929861 | + | 0.367912i | \(0.119927\pi\) |
−0.999616 | + | 0.0276926i | \(0.991184\pi\) | |||||||
\(212\) | −19.8927 | − | 16.6919i | −1.36623 | − | 1.14641i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −32.9015 | − | 11.9752i | −2.24910 | − | 0.818605i | ||||
\(215\) | 8.44451 | 0.575911 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −20.5108 | −1.39237 | ||||||||
\(218\) | −13.3046 | − | 4.84247i | −0.901099 | − | 0.327973i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 32.7450 | + | 27.4763i | 2.20767 | + | 1.85245i | ||||
\(221\) | 1.49396 | − | 8.47269i | 0.100495 | − | 0.569934i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 6.68656 | − | 5.61069i | 0.447765 | − | 0.375719i | −0.390841 | − | 0.920458i | \(-0.627816\pi\) |
0.838606 | + | 0.544739i | \(0.183371\pi\) | |||||||
\(224\) | 0.537703 | + | 0.931329i | 0.0359268 | + | 0.0622270i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −14.0299 | + | 24.3005i | −0.933256 | + | 1.61645i | ||||
\(227\) | −4.21662 | − | 23.9136i | −0.279867 | − | 1.58720i | −0.723066 | − | 0.690779i | \(-0.757268\pi\) |
0.443199 | − | 0.896423i | \(-0.353843\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −17.0568 | + | 6.20815i | −1.12714 | + | 0.410246i | −0.837254 | − | 0.546814i | \(-0.815840\pi\) |
−0.289888 | + | 0.957060i | \(0.593618\pi\) | |||||||
\(230\) | 3.80207 | − | 1.38384i | 0.250701 | − | 0.0912478i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.20432 | − | 12.5013i | −0.144721 | − | 0.820751i | ||||
\(233\) | 5.26900 | − | 9.12617i | 0.345183 | − | 0.597875i | −0.640204 | − | 0.768205i | \(-0.721150\pi\) |
0.985387 | + | 0.170330i | \(0.0544834\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −8.71406 | − | 15.0932i | −0.568442 | − | 0.984571i | ||||
\(236\) | −5.12270 | + | 4.29845i | −0.333459 | + | 0.279805i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.91936 | − | 16.5565i | 0.189234 | − | 1.07320i | ||||
\(239\) | 7.30546 | + | 6.13001i | 0.472551 | + | 0.396517i | 0.847724 | − | 0.530437i | \(-0.177972\pi\) |
−0.375173 | + | 0.926955i | \(0.622417\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 6.61288 | + | 2.40689i | 0.425973 | + | 0.155042i | 0.546106 | − | 0.837716i | \(-0.316110\pi\) |
−0.120133 | + | 0.992758i | \(0.538332\pi\) | |||||||
\(242\) | 1.95320 | 0.125556 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 58.0742 | 3.71782 | ||||||||
\(245\) | −0.198305 | − | 0.0721771i | −0.0126692 | − | 0.00461122i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.37111 | + | 4.50689i | 0.341755 | + | 0.286767i | ||||
\(248\) | 6.71923 | − | 38.1066i | 0.426671 | − | 2.41977i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −2.96920 | + | 2.49146i | −0.187789 | + | 0.157574i | ||||
\(251\) | −7.79350 | − | 13.4987i | −0.491921 | − | 0.852033i | 0.508035 | − | 0.861336i | \(-0.330372\pi\) |
−0.999957 | + | 0.00930331i | \(0.997039\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.917731 | − | 1.58956i | 0.0576973 | − | 0.0999346i | ||||
\(254\) | 1.10547 | + | 6.26944i | 0.0693634 | + | 0.393379i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 30.3383 | − | 11.0422i | 1.89614 | − | 0.690140i | ||||
\(257\) | −11.4546 | + | 4.16915i | −0.714521 | + | 0.260064i | −0.673598 | − | 0.739098i | \(-0.735252\pi\) |
−0.0409230 | + | 0.999162i | \(0.513030\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 4.75323 | + | 26.9569i | 0.295351 | + | 1.67502i | ||||
\(260\) | 20.8103 | − | 36.0445i | 1.29060 | − | 2.23538i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −5.42064 | − | 9.38882i | −0.334888 | − | 0.580043i | ||||
\(263\) | −5.27777 | + | 4.42857i | −0.325441 | + | 0.273077i | −0.790839 | − | 0.612024i | \(-0.790356\pi\) |
0.465398 | + | 0.885101i | \(0.345911\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −3.43746 | + | 19.4948i | −0.211161 | + | 1.19756i | ||||
\(266\) | 10.4957 | + | 8.80695i | 0.643534 | + | 0.539989i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 22.3228 | + | 8.12482i | 1.36358 | + | 0.496302i | ||||
\(269\) | 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 | \(0.243416\pi\) | |||||||
\(272\) | 10.2655 | + | 3.73632i | 0.622435 | + | 0.226548i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −34.2057 | − | 28.7020i | −2.06644 | − | 1.73395i | ||||
\(275\) | 2.67651 | − | 15.1792i | 0.161399 | − | 0.915342i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.0800238 | + | 0.0671480i | −0.00480817 | + | 0.00403453i | −0.645189 | − | 0.764023i | \(-0.723221\pi\) |
0.640380 | + | 0.768058i | \(0.278777\pi\) | |||||||
\(278\) | −2.40611 | − | 4.16750i | −0.144309 | − | 0.249950i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 20.5377 | − | 35.5723i | 1.22736 | − | 2.12585i | ||||
\(281\) | 1.41561 | + | 8.02835i | 0.0844485 | + | 0.478931i | 0.997474 | + | 0.0710292i | \(0.0226283\pi\) |
−0.913026 | + | 0.407902i | \(0.866261\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −22.1918 | + | 8.07714i | −1.31916 | + | 0.480136i | −0.903190 | − | 0.429240i | \(-0.858781\pi\) |
−0.415973 | + | 0.909377i | \(0.636559\pi\) | |||||||
\(284\) | 56.2580 | − | 20.4762i | 3.33830 | − | 1.21504i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −4.90139 | − | 27.7971i | −0.289825 | − | 1.64368i | ||||
\(287\) | 6.49380 | − | 11.2476i | 0.383317 | − | 0.663925i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.19030 | + | 8.98987i | 0.305312 | + | 0.528816i | ||||
\(290\) | −14.6778 | + | 12.3161i | −0.861909 | + | 0.723227i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 1.32011 | − | 7.48673i | 0.0772537 | − | 0.438127i | ||||
\(293\) | 16.5663 | + | 13.9008i | 0.967813 | + | 0.812091i | 0.982206 | − | 0.187805i | \(-0.0601373\pi\) |
−0.0143935 | + | 0.999896i | \(0.504582\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.79025 | + | 1.74351i | 0.278899 | + | 0.101511i | ||||
\(296\) | −51.6398 | −3.00150 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −17.9792 | −1.04151 | ||||||||
\(299\) | −1.67938 | − | 0.611244i | −0.0971210 | − | 0.0353491i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −5.58348 | − | 4.68509i | −0.321826 | − | 0.270044i | ||||
\(302\) | 2.07036 | − | 11.7416i | 0.119136 | − | 0.675651i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −6.82004 | + | 5.72269i | −0.391156 | + | 0.328219i | ||||
\(305\) | −22.1351 | − | 38.3391i | −1.26745 | − | 2.19529i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −8.17997 | + | 14.1681i | −0.466855 | + | 0.808617i | −0.999283 | − | 0.0378581i | \(-0.987946\pi\) |
0.532428 | + | 0.846475i | \(0.321280\pi\) | |||||||
\(308\) | −6.40674 | − | 36.3344i | −0.365058 | − | 2.07035i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −54.8829 | + | 19.9758i | −3.11714 | + | 1.13455i | ||||
\(311\) | −7.28719 | + | 2.65232i | −0.413218 | + | 0.150399i | −0.540260 | − | 0.841498i | \(-0.681674\pi\) |
0.127041 | + | 0.991897i | \(0.459452\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.67732 | + | 15.1838i | 0.151331 | + | 0.858240i | 0.962064 | + | 0.272824i | \(0.0879577\pi\) |
−0.810733 | + | 0.585416i | \(0.800931\pi\) | |||||||
\(314\) | −1.81471 | + | 3.14317i | −0.102410 | + | 0.177380i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −34.7371 | − | 60.1664i | −1.95412 | − | 3.38463i | ||||
\(317\) | −6.61572 | + | 5.55125i | −0.371576 | + | 0.311789i | −0.809385 | − | 0.587279i | \(-0.800199\pi\) |
0.437809 | + | 0.899068i | \(0.355755\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.50934 | + | 8.55990i | −0.0845069 | + | 0.479262i | ||||
\(320\) | −17.6922 | − | 14.8455i | −0.989025 | − | 0.829890i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −3.28168 | − | 1.19444i | −0.182881 | − | 0.0665633i | ||||
\(323\) | 5.39459 | 0.300163 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −15.0077 | −0.832480 | ||||||||
\(326\) | 39.8483 | + | 14.5036i | 2.20700 | + | 0.803281i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 18.7693 | + | 15.7494i | 1.03636 | + | 0.869612i | ||||
\(329\) | −2.61214 | + | 14.8142i | −0.144012 | + | 0.816733i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 15.7380 | − | 13.2058i | 0.865039 | − | 0.725854i | −0.0980081 | − | 0.995186i | \(-0.531247\pi\) |
0.963048 | + | 0.269331i | \(0.0868027\pi\) | |||||||
\(332\) | 8.01839 | + | 13.8883i | 0.440066 | + | 0.762217i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 8.40609 | − | 14.5598i | 0.459961 | − | 0.796675i | ||||
\(335\) | −3.14456 | − | 17.8337i | −0.171806 | − | 0.974359i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −15.0146 | + | 5.46487i | −0.817897 | + | 0.297690i | −0.716882 | − | 0.697195i | \(-0.754431\pi\) |
−0.101015 | + | 0.994885i | \(0.532209\pi\) | |||||||
\(338\) | 4.19869 | − | 1.52820i | 0.228379 | − | 0.0831231i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −5.56067 | − | 31.5361i | −0.301569 | − | 1.71029i | ||||
\(341\) | −13.2475 | + | 22.9453i | −0.717390 | + | 1.24256i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −9.21426 | − | 15.9596i | −0.497523 | − | 0.861736i | ||||
\(344\) | 10.5335 | − | 8.83861i | 0.567926 | − | 0.476546i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 10.2291 | − | 58.0118i | 0.549917 | − | 3.11874i | ||||
\(347\) | 7.51051 | + | 6.30207i | 0.403185 | + | 0.338313i | 0.821723 | − | 0.569887i | \(-0.193013\pi\) |
−0.418538 | + | 0.908199i | \(0.637457\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 8.86598 | + | 3.22695i | 0.474585 | + | 0.172735i | 0.568228 | − | 0.822871i | \(-0.307629\pi\) |
−0.0936433 | + | 0.995606i | \(0.529851\pi\) | |||||||
\(350\) | −29.3267 | −1.56758 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.38916 | 0.0740424 | ||||||||
\(353\) | −3.18101 | − | 1.15779i | −0.169308 | − | 0.0616232i | 0.255975 | − | 0.966683i | \(-0.417603\pi\) |
−0.425284 | + | 0.905060i | \(0.639826\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −34.9607 | − | 29.3355i | −1.85552 | − | 1.55697i | ||||
\(356\) | −3.57765 | + | 20.2899i | −0.189615 | + | 1.07536i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 38.7329 | − | 32.5007i | 2.04710 | − | 1.71772i | ||||
\(359\) | 17.6137 | + | 30.5078i | 0.929614 | + | 1.61014i | 0.783968 | + | 0.620801i | \(0.213193\pi\) |
0.145646 | + | 0.989337i | \(0.453474\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.30179 | − | 12.6471i | 0.384305 | − | 0.665636i | ||||
\(362\) | −6.60251 | − | 37.4447i | −0.347020 | − | 1.96805i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −33.7575 | + | 12.2867i | −1.76937 | + | 0.643999i | ||||
\(365\) | −5.44571 | + | 1.98208i | −0.285041 | + | 0.103747i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −5.47781 | − | 31.0662i | −0.285939 | − | 1.62164i | −0.701911 | − | 0.712264i | \(-0.747670\pi\) |
0.415972 | − | 0.909377i | \(-0.363441\pi\) | |||||||
\(368\) | 1.13463 | − | 1.96524i | 0.0591469 | − | 0.102445i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 38.9724 | + | 67.5021i | 2.02608 | + | 3.50927i | ||||
\(371\) | 13.0887 | − | 10.9827i | 0.679533 | − | 0.570196i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2.50788 | − | 14.2229i | 0.129853 | − | 0.736434i | −0.848453 | − | 0.529270i | \(-0.822466\pi\) |
0.978306 | − | 0.207163i | \(-0.0664232\pi\) | |||||||
\(374\) | −16.6361 | − | 13.9593i | −0.860231 | − | 0.721820i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −26.6673 | − | 9.70609i | −1.37526 | − | 0.500553i | ||||
\(377\) | 8.46320 | 0.435877 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1.00099 | 0.0514176 | 0.0257088 | − | 0.999669i | \(-0.491816\pi\) | ||||
0.0257088 | + | 0.999669i | \(0.491816\pi\) | |||||||
\(380\) | 24.5235 | + | 8.92583i | 1.25803 | + | 0.457885i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 20.6180 | + | 17.3006i | 1.05491 | + | 0.885173i | ||||
\(383\) | −0.714969 | + | 4.05479i | −0.0365332 | + | 0.207190i | −0.997610 | − | 0.0690897i | \(-0.977991\pi\) |
0.961077 | + | 0.276280i | \(0.0891016\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −21.5451 | + | 18.0785i | −1.09804 | + | 0.921366i | ||||
\(386\) | −1.40690 | − | 2.43683i | −0.0716094 | − | 0.124031i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 21.4803 | − | 37.2049i | 1.09050 | − | 1.88879i | ||||
\(389\) | 2.69501 | + | 15.2841i | 0.136642 | + | 0.774936i | 0.973702 | + | 0.227825i | \(0.0731614\pi\) |
−0.837060 | + | 0.547111i | \(0.815727\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.29210 | + | 0.470287i | −0.0653445 | + | 0.0237834i | ||||
\(392\) | −0.322906 | + | 0.117528i | −0.0163092 | + | 0.00593606i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 2.15186 | + | 12.2038i | 0.108409 | + | 0.614818i | ||||
\(395\) | −26.4802 | + | 45.8651i | −1.33237 | + | 2.30772i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0.774463 | + | 1.34141i | 0.0388692 | + | 0.0673234i | 0.884806 | − | 0.465960i | \(-0.154291\pi\) |
−0.845936 | + | 0.533284i | \(0.820958\pi\) | |||||||
\(398\) | 25.8426 | − | 21.6845i | 1.29537 | − | 1.08695i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 3.30909 | − | 18.7668i | 0.165454 | − | 0.938339i | ||||
\(401\) | −6.08805 | − | 5.10848i | −0.304022 | − | 0.255105i | 0.477994 | − | 0.878363i | \(-0.341364\pi\) |
−0.782016 | + | 0.623258i | \(0.785809\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 24.2418 | + | 8.82331i | 1.20757 | + | 0.439520i | ||||
\(404\) | −22.8628 | −1.13747 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 16.5380 | 0.820766 | ||||||||
\(407\) | 33.2264 | + | 12.0934i | 1.64697 | + | 0.599449i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 20.2660 | + | 17.0052i | 1.00209 | + | 0.840853i | 0.987273 | − | 0.159037i | \(-0.0508389\pi\) |
0.0148172 | + | 0.999890i | \(0.495283\pi\) | |||||||
\(410\) | 6.42196 | − | 36.4208i | 0.317158 | − | 1.79869i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 32.1007 | − | 26.9357i | 1.58149 | − | 1.32703i | ||||
\(413\) | −2.19998 | − | 3.81048i | −0.108254 | − | 0.187501i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 6.11245 | − | 10.5871i | 0.300048 | − | 0.519699i | ||||
\(416\) | −0.234876 | − | 1.33205i | −0.0115158 | − | 0.0653091i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 16.6312 | − | 6.05326i | 0.813458 | − | 0.296074i | ||||
\(419\) | 36.0278 | − | 13.1130i | 1.76007 | − | 0.640614i | 0.760116 | − | 0.649788i | \(-0.225142\pi\) |
0.999958 | + | 0.00917341i | \(0.00292003\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.27536 | + | 7.23292i | 0.0621572 | + | 0.352511i | 0.999985 | + | 0.00541096i | \(0.00172237\pi\) |
−0.937828 | + | 0.347100i | \(0.887167\pi\) | |||||||
\(422\) | 7.17076 | − | 12.4201i | 0.349067 | − | 0.604602i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 16.1168 | + | 27.9152i | 0.782702 | + | 1.35568i | ||||
\(425\) | −8.84541 | + | 7.42218i | −0.429065 | + | 0.360028i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −6.63526 | + | 37.6304i | −0.321103 | + | 1.82106i | ||||
\(428\) | 44.0959 | + | 37.0009i | 2.13146 | + | 1.78851i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −19.5032 | − | 7.09857i | −0.940526 | − | 0.342323i | ||||
\(431\) | 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 | \(0.694258\pi\) | |||||||
\(434\) | 47.3711 | + | 17.2417i | 2.27389 | + | 0.827627i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 17.8313 | + | 14.9623i | 0.853967 | + | 0.716563i | ||||
\(437\) | 0.194591 | − | 1.10358i | 0.00930853 | − | 0.0527913i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −16.4469 | + | 13.8006i | −0.784969 | + | 0.658667i | −0.944495 | − | 0.328527i | \(-0.893448\pi\) |
0.159526 | + | 0.987194i | \(0.449003\pi\) | |||||||
\(440\) | −26.5296 | − | 45.9507i | −1.26475 | − | 2.19061i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −10.5727 | + | 18.3124i | −0.502890 | + | 0.871031i | ||||
\(443\) | −5.47824 | − | 31.0686i | −0.260279 | − | 1.47612i | −0.782150 | − | 0.623091i | \(-0.785877\pi\) |
0.521871 | − | 0.853025i | \(-0.325234\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 14.7585 | − | 5.37164i | 0.699618 | − | 0.254640i | ||||
\(446\) | −20.1595 | + | 7.33745i | −0.954578 | + | 0.347438i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 3.46158 | + | 19.6316i | 0.163544 | + | 0.927506i | ||||
\(449\) | 10.3949 | − | 18.0045i | 0.490565 | − | 0.849684i | −0.509376 | − | 0.860544i | \(-0.670124\pi\) |
0.999941 | + | 0.0108605i | \(0.00345708\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −8.38839 | − | 14.5291i | −0.394994 | − | 0.684149i | ||||
\(452\) | 35.3390 | − | 29.6529i | 1.66221 | − | 1.39476i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −10.3636 | + | 58.7746i | −0.486386 | + | 2.75843i | ||||
\(455\) | 20.9781 | + | 17.6027i | 0.983469 | + | 0.825228i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 16.3767 | + | 5.96064i | 0.766070 | + | 0.278827i | 0.695352 | − | 0.718670i | \(-0.255249\pi\) |
0.0707185 | + | 0.997496i | \(0.477471\pi\) | |||||||
\(458\) | 44.6124 | 2.08460 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −6.65196 | −0.310149 | ||||||||
\(461\) | −29.1347 | − | 10.6042i | −1.35694 | − | 0.493885i | −0.441831 | − | 0.897098i | \(-0.645671\pi\) |
−0.915106 | + | 0.403214i | \(0.867893\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 4.97006 | + | 4.17037i | 0.230978 | + | 0.193814i | 0.750930 | − | 0.660382i | \(-0.229606\pi\) |
−0.519952 | + | 0.854196i | \(0.674050\pi\) | |||||||
\(464\) | −1.86607 | + | 10.5830i | −0.0866300 | + | 0.491303i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −19.8407 | + | 16.6483i | −0.919102 | + | 0.771218i | ||||
\(467\) | 0.971950 | + | 1.68347i | 0.0449765 | + | 0.0779016i | 0.887637 | − | 0.460543i | \(-0.152345\pi\) |
−0.842661 | + | 0.538445i | \(0.819012\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −7.81513 | + | 13.5362i | −0.360869 | + | 0.625044i | ||||
\(470\) | 7.43816 | + | 42.1839i | 0.343097 | + | 1.94580i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 7.80011 | − | 2.83901i | 0.359029 | − | 0.130676i | ||||
\(473\) | −8.84740 | + | 3.22019i | −0.406804 | + | 0.148065i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.63408 | − | 9.26735i | −0.0749769 | − | 0.425215i | ||||
\(476\) | −13.8198 | + | 23.9367i | −0.633431 | + | 1.09713i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −11.7195 | − | 20.2987i | −0.536036 | − | 0.928442i | ||||
\(479\) | −1.01837 | + | 0.854516i | −0.0465306 | + | 0.0390438i | −0.665756 | − | 0.746169i | \(-0.731891\pi\) |
0.619226 | + | 0.785213i | \(0.287447\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 5.97840 | − | 33.9052i | 0.272592 | − | 1.54594i | ||||
\(482\) | −13.2496 | − | 11.1178i | −0.603504 | − | 0.506400i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −3.01750 | − | 1.09828i | −0.137159 | − | 0.0499217i | ||||
\(485\) | −32.7490 | −1.48705 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 21.2040 | 0.960844 | 0.480422 | − | 0.877037i | \(-0.340484\pi\) | ||||
0.480422 | + | 0.877037i | \(0.340484\pi\) | |||||||
\(488\) | −67.7391 | − | 24.6550i | −3.06640 | − | 1.11608i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.397325 | + | 0.333396i | 0.0179493 | + | 0.0150613i | ||||
\(491\) | −4.69026 | + | 26.5998i | −0.211669 | + | 1.20043i | 0.674926 | + | 0.737885i | \(0.264175\pi\) |
−0.886595 | + | 0.462547i | \(0.846936\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 4.98812 | − | 4.18553i | 0.224654 | − | 0.188507i | ||||
\(494\) | −8.61638 | − | 14.9240i | −0.387669 | − | 0.671463i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −16.3784 | + | 28.3683i | −0.735414 | + | 1.27377i | ||||
\(497\) | 6.84027 | + | 38.7931i | 0.306828 | + | 1.74011i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −14.1320 | + | 5.14361i | −0.632633 | + | 0.230260i | −0.638377 | − | 0.769724i | \(-0.720394\pi\) |
0.00574369 | + | 0.999984i | \(0.498172\pi\) | |||||||
\(500\) | 5.98807 | − | 2.17948i | 0.267794 | − | 0.0974692i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 6.65239 | + | 37.7276i | 0.296911 | + | 1.68386i | ||||
\(503\) | 2.30325 | − | 3.98934i | 0.102697 | − | 0.177876i | −0.810098 | − | 0.586294i | \(-0.800586\pi\) |
0.912795 | + | 0.408418i | \(0.133920\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 8.71420 | + | 15.0934i | 0.387777 | + | 0.671649i | ||||
\(506\) | −3.45577 | + | 2.89973i | −0.153628 | + | 0.128909i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 1.81745 | − | 10.3073i | 0.0806363 | − | 0.457311i | ||||
\(509\) | −22.8256 | − | 19.1529i | −1.01173 | − | 0.848938i | −0.0231600 | − | 0.999732i | \(-0.507373\pi\) |
−0.988565 | + | 0.150793i | \(0.951817\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 4.70035 | + | 1.71079i | 0.207931 | + | 0.0756808i | ||||
\(512\) | −40.8760 | −1.80648 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 29.9599 | 1.32147 | ||||||||
\(515\) | −30.0175 | − | 10.9255i | −1.32273 | − | 0.481435i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 14.8854 | + | 12.4903i | 0.654658 | + | 0.549324i | ||||
\(518\) | 11.6824 | − | 66.2544i | 0.513297 | − | 2.91105i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −39.5760 | + | 33.2082i | −1.73552 | + | 1.45628i | ||||
\(521\) | −5.88104 | − | 10.1863i | −0.257653 | − | 0.446268i | 0.707960 | − | 0.706253i | \(-0.249616\pi\) |
−0.965613 | + | 0.259985i | \(0.916283\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −14.6926 | + | 25.4484i | −0.642464 | + | 1.11278i | 0.342417 | + | 0.939548i | \(0.388754\pi\) |
−0.984881 | + | 0.173232i | \(0.944579\pi\) | |||||||
\(524\) | 3.09503 | + | 17.5528i | 0.135207 | + | 0.766798i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 15.9121 | − | 5.79152i | 0.693799 | − | 0.252522i | ||||
\(527\) | 18.6515 | − | 6.78859i | 0.812473 | − | 0.295716i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.94431 | − | 22.3693i | −0.171492 | − | 0.972578i | ||||
\(530\) | 24.3266 | − | 42.1350i | 1.05668 | − | 1.83023i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −11.2627 | − | 19.5076i | −0.488301 | − | 0.845761i | ||||
\(533\) | −12.5135 | + | 10.5001i | −0.542021 | + | 0.454810i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 7.61979 | − | 43.2140i | 0.329432 | − | 1.86830i | ||||
\(536\) | −22.5884 | − | 18.9539i | −0.975672 | − | 0.818686i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −16.3027 | − | 5.93368i | −0.702858 | − | 0.255819i | ||||
\(539\) | 0.235290 | 0.0101347 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −22.9116 | −0.985046 | −0.492523 | − | 0.870300i | \(-0.663925\pi\) | ||||
−0.492523 | + | 0.870300i | \(0.663925\pi\) | |||||||
\(542\) | −54.8694 | − | 19.9708i | −2.35684 | − | 0.857821i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −0.797207 | − | 0.668936i | −0.0341800 | − | 0.0286804i | ||||
\(545\) | 3.08126 | − | 17.4747i | 0.131987 | − | 0.748534i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −10.5390 | + | 8.84328i | −0.450615 | + | 0.378111i | −0.839664 | − | 0.543106i | \(-0.817248\pi\) |
0.389049 | + | 0.921217i | \(0.372804\pi\) | |||||||
\(548\) | 36.7053 | + | 63.5755i | 1.56797 | + | 2.71581i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −18.9414 | + | 32.8075i | −0.807665 | + | 1.39892i | ||||
\(551\) | 0.921496 | + | 5.22606i | 0.0392571 | + | 0.222638i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 42.9550 | − | 15.6343i | 1.82663 | − | 0.664840i | ||||
\(554\) | 0.241266 | − | 0.0878136i | 0.0102504 | − | 0.00373084i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.37382 | + | 7.79133i | 0.0582630 | + | 0.330426i | ||||
\(557\) | 10.9520 | − | 18.9695i | 0.464053 | − | 0.803763i | −0.535106 | − | 0.844785i | \(-0.679728\pi\) |
0.999158 | + | 0.0410224i | \(0.0130615\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.58371 | + | 7.93922i | 0.193870 | + | 0.335793i | ||||
\(560\) | −26.6372 | + | 22.3513i | −1.12563 | + | 0.944514i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 3.47928 | − | 19.7320i | 0.146765 | − | 0.832344i | ||||
\(563\) | −11.1601 | − | 9.36440i | −0.470341 | − | 0.394663i | 0.376578 | − | 0.926385i | \(-0.377101\pi\) |
−0.846919 | + | 0.531722i | \(0.821545\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −33.0456 | − | 12.0276i | −1.39024 | − | 0.506006i | ||||
\(566\) | 58.0431 | 2.43973 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −74.3137 | −3.11813 | ||||||||
\(569\) | −21.0087 | − | 7.64655i | −0.880732 | − | 0.320560i | −0.138227 | − | 0.990401i | \(-0.544140\pi\) |
−0.742505 | + | 0.669840i | \(0.766363\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −11.8171 | − | 9.91573i | −0.494531 | − | 0.414961i | 0.361116 | − | 0.932521i | \(-0.382396\pi\) |
−0.855647 | + | 0.517560i | \(0.826840\pi\) | |||||||
\(572\) | −8.05812 | + | 45.6999i | −0.336927 | + | 1.91081i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −24.4528 | + | 20.5183i | −1.02064 | + | 0.856417i | ||||
\(575\) | 1.19930 | + | 2.07724i | 0.0500142 | + | 0.0866271i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −16.4040 | + | 28.4126i | −0.682909 | + | 1.18283i | 0.291180 | + | 0.956668i | \(0.405952\pi\) |
−0.974089 | + | 0.226165i | \(0.927381\pi\) | |||||||
\(578\) | −4.43035 | − | 25.1257i | −0.184278 | − | 1.04509i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 29.6011 | − | 10.7739i | 1.22912 | − | 0.447362i | ||||
\(581\) | −9.91533 | + | 3.60889i | −0.411357 | + | 0.149722i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −3.83260 | − | 21.7357i | −0.158730 | − | 0.900202i | ||||
\(584\) | −4.71825 | + | 8.17225i | −0.195242 | + | 0.338170i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −26.5758 | − | 46.0306i | −1.09784 | − | 1.90151i | ||||
\(587\) | −23.1608 | + | 19.4342i | −0.955948 | + | 0.802136i | −0.980289 | − | 0.197568i | \(-0.936696\pi\) |
0.0243412 | + | 0.999704i | \(0.492251\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.80892 | + | 15.9302i | −0.115739 | + | 0.656391i | ||||
\(590\) | −9.59779 | − | 8.05350i | −0.395135 | − | 0.331557i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 41.0793 | + | 14.9517i | 1.68835 | + | 0.614509i | ||||
\(593\) | −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 | ||||||||
\(596\) | 27.7761 | + | 10.1097i | 1.13775 | + | 0.414108i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 3.36482 | + | 2.82342i | 0.137598 | + | 0.115458i | ||||
\(599\) | −6.34693 | + | 35.9952i | −0.259329 | + | 1.47073i | 0.525384 | + | 0.850865i | \(0.323922\pi\) |
−0.784712 | + | 0.619860i | \(0.787189\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 3.02266 | − | 2.53631i | 0.123297 | − | 0.103458i | −0.579054 | − | 0.815289i | \(-0.696578\pi\) |
0.702351 | + | 0.711831i | \(0.252134\pi\) | |||||||
\(602\) | 8.95706 | + | 15.5141i | 0.365062 | + | 0.632307i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −9.80076 | + | 16.9754i | −0.398787 | + | 0.690720i | ||||
\(605\) | 0.425069 | + | 2.41068i | 0.0172815 | + | 0.0980082i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −9.40775 | + | 3.42414i | −0.381849 | + | 0.138982i | −0.525811 | − | 0.850602i | \(-0.676238\pi\) |
0.143962 | + | 0.989583i | \(0.454016\pi\) | |||||||
\(608\) | 0.796973 | − | 0.290074i | 0.0323215 | − | 0.0117641i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 18.8941 | + | 107.154i | 0.765000 | + | 4.33853i | ||||
\(611\) | 9.46005 | − | 16.3853i | 0.382712 | − | 0.662877i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 9.37838 | + | 16.2438i | 0.378789 | + | 0.656082i | 0.990886 | − | 0.134700i | \(-0.0430072\pi\) |
−0.612097 | + | 0.790783i | \(0.709674\pi\) | |||||||
\(614\) | 30.8021 | − | 25.8460i | 1.24307 | − | 1.04306i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −7.95257 | + | 45.1013i | −0.320418 | + | 1.81718i | ||||
\(617\) | 17.6267 | + | 14.7906i | 0.709626 | + | 0.595447i | 0.924494 | − | 0.381196i | \(-0.124488\pi\) |
−0.214869 | + | 0.976643i | \(0.568932\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −6.96690 | − | 2.53574i | −0.280023 | − | 0.101920i | 0.198191 | − | 0.980163i | \(-0.436493\pi\) |
−0.478214 | + | 0.878243i | \(0.658716\pi\) | |||||||
\(620\) | 96.0211 | 3.85630 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 19.0598 | 0.764229 | ||||||||
\(623\) | −12.7385 | − | 4.63643i | −0.510356 | − | 0.185754i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −20.9113 | − | 17.5467i | −0.836452 | − | 0.701867i | ||||
\(626\) | 6.58028 | − | 37.3186i | 0.263001 | − | 1.49155i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 4.57095 | − | 3.83549i | 0.182401 | − | 0.153053i | ||||
\(629\) | −13.2444 | − | 22.9400i | −0.528090 | − | 0.914679i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 15.4962 | − | 26.8402i | 0.616894 | − | 1.06849i | −0.373155 | − | 0.927769i | \(-0.621724\pi\) |
0.990049 | − | 0.140723i | \(-0.0449426\pi\) | |||||||
\(632\) | 14.9749 | + | 84.9269i | 0.595670 | + | 3.37821i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 19.9459 | − | 7.25971i | 0.792153 | − | 0.288320i | ||||
\(635\) | −7.49732 | + | 2.72880i | −0.297522 | + | 0.108289i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.0397824 | − | 0.225617i | −0.00157623 | − | 0.00893927i | ||||
\(638\) | 10.6815 | − | 18.5009i | 0.422884 | − | 0.732457i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 29.6279 | + | 51.3171i | 1.17115 | + | 2.02849i | ||||
\(641\) | 27.0767 | − | 22.7201i | 1.06947 | − | 0.897388i | 0.0744616 | − | 0.997224i | \(-0.476276\pi\) |
0.995004 | + | 0.0998358i | \(0.0318317\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −3.42103 | + | 19.4016i | −0.134912 | + | 0.765126i | 0.840008 | + | 0.542573i | \(0.182550\pi\) |
−0.974921 | + | 0.222552i | \(0.928561\pi\) | |||||||
\(644\) | 4.39825 | + | 3.69057i | 0.173315 | + | 0.145429i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −12.4592 | − | 4.53476i | −0.490199 | − | 0.178418i | ||||
\(647\) | −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 | ||||||||
\(650\) | 34.6614 | + | 12.6157i | 1.35953 | + | 0.494829i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −53.4064 | − | 44.8133i | −2.09156 | − | 1.75502i | ||||
\(653\) | −3.00875 | + | 17.0635i | −0.117742 | + | 0.667746i | 0.867615 | + | 0.497237i | \(0.165652\pi\) |
−0.985356 | + | 0.170509i | \(0.945459\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 10.4082 | − | 8.73355i | 0.406684 | − | 0.341248i | ||||
\(656\) | −10.3709 | − | 17.9630i | −0.404918 | − | 0.701338i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 18.4859 | − | 32.0186i | 0.720657 | − | 1.24821i | ||||
\(659\) | −7.59436 | − | 43.0698i | −0.295834 | − | 1.67776i | −0.663792 | − | 0.747917i | \(-0.731054\pi\) |
0.367957 | − | 0.929843i | \(-0.380057\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 8.53885 | − | 3.10789i | 0.332123 | − | 0.120883i | −0.170576 | − | 0.985345i | \(-0.554563\pi\) |
0.502699 | + | 0.864462i | \(0.332341\pi\) | |||||||
\(662\) | −47.4489 | + | 17.2700i | −1.84416 | + | 0.671218i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −3.45667 | − | 19.6037i | −0.134145 | − | 0.760773i | ||||
\(665\) | −8.58561 | + | 14.8707i | −0.332936 | + | 0.576661i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.676311 | − | 1.17140i | −0.0261868 | − | 0.0453570i | ||||
\(668\) | −21.1735 | + | 17.7667i | −0.819228 | + | 0.687414i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −7.72867 | + | 43.8315i | −0.298585 | + | 1.69336i | ||||
\(671\) | 37.8112 | + | 31.7274i | 1.45969 | + | 1.22482i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −7.04458 | − | 2.56402i | −0.271549 | − | 0.0988356i | 0.202657 | − | 0.979250i | \(-0.435042\pi\) |
−0.474205 | + | 0.880414i | \(0.657265\pi\) | |||||||
\(674\) | 39.2711 | 1.51266 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −7.34587 | −0.282534 | ||||||||
\(677\) | 14.4361 | + | 5.25430i | 0.554823 | + | 0.201939i | 0.604188 | − | 0.796842i | \(-0.293497\pi\) |
−0.0493648 | + | 0.998781i | \(0.515720\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 21.6535 | + | 18.1694i | 0.830985 | + | 0.697279i | ||||
\(680\) | −6.90235 | + | 39.1452i | −0.264693 | + | 1.50115i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 49.8840 | − | 41.8576i | 1.91016 | − | 1.60281i | ||||
\(683\) | 3.31079 | + | 5.73445i | 0.126684 | + | 0.219423i | 0.922390 | − | 0.386260i | \(-0.126233\pi\) |
−0.795706 | + | 0.605683i | \(0.792900\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 27.9806 | − | 48.4639i | 1.06908 | − | 1.85171i | ||||
\(686\) | 7.86512 | + | 44.6053i | 0.300292 | + | 1.70304i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −10.9385 | + | 3.98127i | −0.417025 | + | 0.151785i | ||||
\(689\) | −20.1942 | + | 7.35008i | −0.769336 | + | 0.280016i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −3.23973 | − | 18.3734i | −0.123245 | − | 0.698958i | −0.982335 | − | 0.187132i | \(-0.940081\pi\) |
0.859090 | − | 0.511825i | \(-0.171030\pi\) | |||||||
\(692\) | −48.4228 | + | 83.8708i | −1.84076 | + | 3.18829i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −12.0484 | − | 20.8685i | −0.457352 | − | 0.792157i | ||||
\(695\) | 4.62000 | − | 3.87664i | 0.175247 | − | 0.147049i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.18245 | + | 12.3773i | −0.0826662 | + | 0.468823i | ||||
\(698\) | −17.7639 | − | 14.9057i | −0.672375 | − | 0.564190i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 45.3069 | + | 16.4904i | 1.71244 | + | 0.623277i | ||||
\(701\) | −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 | ||||||||
\(704\) | 24.1975 | + | 8.80715i | 0.911976 | + | 0.331932i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 6.37350 | + | 5.34801i | 0.239870 | + | 0.201275i | ||||
\(707\) | 2.61219 | − | 14.8144i | 0.0982413 | − | 0.557154i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −20.0541 | + | 16.8274i | −0.753147 | + | 0.631965i | −0.936333 | − | 0.351113i | \(-0.885803\pi\) |
0.183186 | + | 0.983078i | \(0.441359\pi\) | |||||||
\(710\) | 56.0843 | + | 97.1409i | 2.10481 | + | 3.64563i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 12.7870 | − | 22.1477i | 0.479212 | − | 0.830020i | ||||
\(713\) | −0.715965 | − | 4.06044i | −0.0268131 | − | 0.152065i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 33.2413 | − | 12.0988i | 1.24315 | − | 0.452471i | ||||
\(716\) | −78.1136 | + | 28.4310i | −2.91924 | + | 1.06252i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −15.0347 | − | 85.2660i | −0.561090 | − | 3.18210i | ||||
\(719\) | 10.5145 | − | 18.2117i | 0.392125 | − | 0.679181i | −0.600604 | − | 0.799546i | \(-0.705073\pi\) |
0.992730 | + | 0.120365i | \(0.0384066\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 13.7859 | + | 23.8779i | 0.513414 | + | 0.889259i | ||||
\(722\) | −27.4953 | + | 23.0713i | −1.02327 | + | 0.858624i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −10.8549 | + | 61.5609i | −0.403417 | + | 2.28789i | ||||
\(725\) | −8.70127 | − | 7.30123i | −0.323157 | − | 0.271161i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −38.8992 | − | 14.1582i | −1.44269 | − | 0.525097i | −0.502152 | − | 0.864779i | \(-0.667458\pi\) |
−0.940540 | + | 0.339683i | \(0.889680\pi\) | |||||||
\(728\) | 44.5918 | 1.65268 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 14.2434 | 0.527171 | ||||||||
\(731\) | 6.62799 | + | 2.41239i | 0.245145 | + | 0.0892254i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 25.7596 | + | 21.6148i | 0.951451 | + | 0.798362i | 0.979541 | − | 0.201243i | \(-0.0644982\pi\) |
−0.0280903 | + | 0.999605i | \(0.508943\pi\) | |||||||
\(734\) | −13.4633 | + | 76.3541i | −0.496939 | + | 2.81828i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.165602 | + | 0.138956i | −0.00610416 | + | 0.00512200i | ||||
\(737\) | 10.0952 | + | 17.4854i | 0.371862 | + | 0.644084i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 6.47268 | − | 11.2110i | 0.238101 | − | 0.412403i | −0.722068 | − | 0.691822i | \(-0.756808\pi\) |
0.960169 | + | 0.279418i | \(0.0901417\pi\) | |||||||
\(740\) | −22.2522 | − | 126.198i | −0.818005 | − | 4.63914i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −39.4615 | + | 14.3628i | −1.44868 | + | 0.527276i | ||||
\(743\) | −0.0826264 | + | 0.0300735i | −0.00303127 | + | 0.00110329i | −0.343535 | − | 0.939140i | \(-0.611625\pi\) |
0.340504 | + | 0.940243i | \(0.389402\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −3.91276 | − | 22.1904i | −0.143353 | − | 0.812993i | ||||
\(746\) | −17.7481 | + | 30.7406i | −0.649803 | + | 1.12549i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 17.8518 | + | 30.9202i | 0.652727 | + | 1.13056i | ||||
\(749\) | −29.0137 | + | 24.3454i | −1.06014 | + | 0.889561i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 8.66435 | − | 49.1380i | 0.316167 | − | 1.79307i | −0.249434 | − | 0.968392i | \(-0.580245\pi\) |
0.565601 | − | 0.824679i | \(-0.308644\pi\) | |||||||
\(752\) | 18.4035 | + | 15.4424i | 0.671106 | + | 0.563125i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −19.5463 | − | 7.11428i | −0.711835 | − | 0.259087i | ||||
\(755\) | 14.9423 | 0.543806 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −11.8679 | −0.431348 | −0.215674 | − | 0.976465i | \(-0.569195\pi\) | ||||
−0.215674 | + | 0.976465i | \(0.569195\pi\) | |||||||
\(758\) | −2.31186 | − | 0.841448i | −0.0839705 | − | 0.0305628i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −24.8154 | − | 20.8226i | −0.900149 | − | 0.755315i | ||||
\(761\) | −0.658179 | + | 3.73272i | −0.0238590 | + | 0.135311i | −0.994411 | − | 0.105582i | \(-0.966329\pi\) |
0.970552 | + | 0.240893i | \(0.0774404\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −11.7324 | + | 9.84469i | −0.424743 | + | 0.356402i | ||||
\(764\) | −22.1247 | − | 38.3211i | −0.800444 | − | 1.38641i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 5.05978 | − | 8.76379i | 0.182817 | − | 0.316649i | ||||
\(767\) | 0.960983 | + | 5.45000i | 0.0346991 | + | 0.196788i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −5.89140 | + | 2.14430i | −0.212449 | + | 0.0773253i | −0.446053 | − | 0.895007i | \(-0.647171\pi\) |
0.233603 | + | 0.972332i | \(0.424948\pi\) | |||||||
\(770\) | 64.9570 | − | 23.6424i | 2.34089 | − | 0.852013i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.803302 | + | 4.55575i | 0.0289115 | + | 0.163965i | ||||
\(773\) | −0.647678 | + | 1.12181i | −0.0232954 | + | 0.0403487i | −0.877438 | − | 0.479690i | \(-0.840749\pi\) |
0.854143 | + | 0.520039i | \(0.174082\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −17.3119 | − | 29.9850i | −0.621861 | − | 1.07709i | ||||
\(776\) | −40.8502 | + | 34.2774i | −1.46644 | + | 1.23049i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 6.62376 | − | 37.5652i | 0.237473 | − | 1.34678i | ||||
\(779\) | −7.84636 | − | 6.58388i | −0.281125 | − | 0.235892i | ||||
\(780\) | 0 |