Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(67,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.g (of order \(3\), degree \(2\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.309123.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 3x^{5} + 10x^{4} - 15x^{3} + 19x^{2} - 12x + 3 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 79.1 | ||
Root | \(0.500000 - 0.224437i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.79 |
Dual form | 441.2.g.d.67.1 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.849814 | − | 1.47192i | −0.600909 | − | 1.04081i | −0.992684 | − | 0.120744i | \(-0.961472\pi\) |
0.391774 | − | 0.920061i | \(-0.371861\pi\) | |||||||
\(3\) | 1.64400 | − | 0.545231i | 0.949162 | − | 0.314789i | ||||
\(4\) | −0.444368 | + | 0.769668i | −0.222184 | + | 0.384834i | ||||
\(5\) | 3.58836 | 1.60477 | 0.802383 | − | 0.596810i | \(-0.203565\pi\) | ||||
0.802383 | + | 0.596810i | \(0.203565\pi\) | |||||||
\(6\) | −2.19963 | − | 1.95649i | −0.897994 | − | 0.798733i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −1.88874 | −0.667769 | ||||||||
\(9\) | 2.40545 | − | 1.79272i | 0.801815 | − | 0.597572i | ||||
\(10\) | −3.04944 | − | 5.28179i | −0.964318 | − | 1.67025i | ||||
\(11\) | −2.81089 | −0.847516 | −0.423758 | − | 0.905775i | \(-0.639289\pi\) | ||||
−0.423758 | + | 0.905775i | \(0.639289\pi\) | |||||||
\(12\) | −0.310892 | + | 1.50761i | −0.0897469 | + | 0.435211i | ||||
\(13\) | 0.500000 | + | 0.866025i | 0.138675 | + | 0.240192i | 0.926995 | − | 0.375073i | \(-0.122382\pi\) |
−0.788320 | + | 0.615265i | \(0.789049\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 5.89926 | − | 1.95649i | 1.52318 | − | 0.505163i | ||||
\(16\) | 2.49381 | + | 4.31941i | 0.623453 | + | 1.07985i | ||||
\(17\) | −2.05563 | − | 3.56046i | −0.498564 | − | 0.863538i | 0.501435 | − | 0.865196i | \(-0.332806\pi\) |
−0.999999 | + | 0.00165734i | \(0.999472\pi\) | |||||||
\(18\) | −4.68292 | − | 2.01715i | −1.10377 | − | 0.475447i | ||||
\(19\) | −0.444368 | + | 0.769668i | −0.101945 | + | 0.176574i | −0.912486 | − | 0.409108i | \(-0.865840\pi\) |
0.810541 | + | 0.585682i | \(0.199173\pi\) | |||||||
\(20\) | −1.59455 | + | 2.76185i | −0.356553 | + | 0.617568i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.38874 | + | 4.13741i | 0.509280 | + | 0.882099i | ||||
\(23\) | 5.87636 | 1.22530 | 0.612652 | − | 0.790352i | \(-0.290103\pi\) | ||||
0.612652 | + | 0.790352i | \(0.290103\pi\) | |||||||
\(24\) | −3.10507 | + | 1.02980i | −0.633821 | + | 0.210207i | ||||
\(25\) | 7.87636 | 1.57527 | ||||||||
\(26\) | 0.849814 | − | 1.47192i | 0.166662 | − | 0.288667i | ||||
\(27\) | 2.97710 | − | 4.25874i | 0.572943 | − | 0.819595i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.849814 | − | 1.47192i | 0.157807 | − | 0.273329i | −0.776271 | − | 0.630399i | \(-0.782891\pi\) |
0.934077 | + | 0.357071i | \(0.116224\pi\) | |||||||
\(30\) | −7.89307 | − | 7.02059i | −1.44107 | − | 1.28178i | ||||
\(31\) | −3.49381 | + | 6.05146i | −0.627507 | + | 1.08687i | 0.360544 | + | 0.932742i | \(0.382591\pi\) |
−0.988050 | + | 0.154131i | \(0.950742\pi\) | |||||||
\(32\) | 2.34981 | − | 4.07000i | 0.415392 | − | 0.719481i | ||||
\(33\) | −4.62110 | + | 1.53259i | −0.804430 | + | 0.266789i | ||||
\(34\) | −3.49381 | + | 6.05146i | −0.599183 | + | 1.03782i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.310892 | + | 2.64802i | 0.0518154 | + | 0.441337i | ||||
\(37\) | −2.38255 | + | 4.12669i | −0.391688 | + | 0.678424i | −0.992672 | − | 0.120837i | \(-0.961442\pi\) |
0.600984 | + | 0.799261i | \(0.294775\pi\) | |||||||
\(38\) | 1.51052 | 0.245039 | ||||||||
\(39\) | 1.29418 | + | 1.15113i | 0.207235 | + | 0.184328i | ||||
\(40\) | −6.77747 | −1.07161 | ||||||||
\(41\) | −2.70582 | − | 4.68661i | −0.422578 | − | 0.731926i | 0.573613 | − | 0.819126i | \(-0.305541\pi\) |
−0.996191 | + | 0.0872002i | \(0.972208\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.60507 | + | 4.51212i | −0.397270 | + | 0.688092i | −0.993388 | − | 0.114805i | \(-0.963376\pi\) |
0.596118 | + | 0.802897i | \(0.296709\pi\) | |||||||
\(44\) | 1.24907 | − | 2.16345i | 0.188304 | − | 0.326153i | ||||
\(45\) | 8.63162 | − | 6.43292i | 1.28673 | − | 0.958962i | ||||
\(46\) | −4.99381 | − | 8.64953i | −0.736297 | − | 1.27530i | ||||
\(47\) | −1.33310 | − | 2.30900i | −0.194453 | − | 0.336803i | 0.752268 | − | 0.658857i | \(-0.228960\pi\) |
−0.946721 | + | 0.322055i | \(0.895627\pi\) | |||||||
\(48\) | 6.45489 | + | 5.74138i | 0.931683 | + | 0.828697i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −6.69344 | − | 11.5934i | −0.946595 | − | 1.63955i | ||||
\(51\) | −5.32072 | − | 4.73259i | −0.745050 | − | 0.662695i | ||||
\(52\) | −0.888736 | −0.123245 | ||||||||
\(53\) | 0.0618219 | + | 0.107079i | 0.00849190 | + | 0.0147084i | 0.870240 | − | 0.492628i | \(-0.163964\pi\) |
−0.861748 | + | 0.507336i | \(0.830630\pi\) | |||||||
\(54\) | −8.79851 | − | 0.762918i | −1.19733 | − | 0.103820i | ||||
\(55\) | −10.0865 | −1.36006 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.310892 | + | 1.50761i | −0.0411787 | + | 0.199688i | ||||
\(58\) | −2.88874 | −0.379310 | ||||||||
\(59\) | −4.43818 | + | 7.68715i | −0.577802 | + | 1.00078i | 0.417929 | + | 0.908479i | \(0.362756\pi\) |
−0.995731 | + | 0.0923022i | \(0.970577\pi\) | |||||||
\(60\) | −1.11559 | + | 5.40987i | −0.144023 | + | 0.698411i | ||||
\(61\) | 1.93818 | + | 3.35702i | 0.248158 | + | 0.429823i | 0.963015 | − | 0.269448i | \(-0.0868414\pi\) |
−0.714857 | + | 0.699271i | \(0.753508\pi\) | |||||||
\(62\) | 11.8764 | 1.50830 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.98762 | 0.248453 | ||||||||
\(65\) | 1.79418 | + | 3.10761i | 0.222541 | + | 0.385452i | ||||
\(66\) | 6.18292 | + | 5.49948i | 0.761065 | + | 0.676939i | ||||
\(67\) | −6.15452 | + | 10.6599i | −0.751894 | + | 1.30232i | 0.195010 | + | 0.980801i | \(0.437526\pi\) |
−0.946904 | + | 0.321517i | \(0.895807\pi\) | |||||||
\(68\) | 3.65383 | 0.443092 | ||||||||
\(69\) | 9.66071 | − | 3.20397i | 1.16301 | − | 0.385713i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −2.87636 | −0.341361 | −0.170680 | − | 0.985326i | \(-0.554597\pi\) | ||||
−0.170680 | + | 0.985326i | \(0.554597\pi\) | |||||||
\(72\) | −4.54325 | + | 3.38597i | −0.535427 | + | 0.399040i | ||||
\(73\) | −5.32072 | − | 9.21576i | −0.622744 | − | 1.07862i | −0.988973 | − | 0.148099i | \(-0.952685\pi\) |
0.366229 | − | 0.930525i | \(-0.380649\pi\) | |||||||
\(74\) | 8.09888 | 0.941476 | ||||||||
\(75\) | 12.9487 | − | 4.29443i | 1.49519 | − | 0.495879i | ||||
\(76\) | −0.394926 | − | 0.684031i | −0.0453011 | − | 0.0784638i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0.594554 | − | 2.88318i | 0.0673200 | − | 0.326456i | ||||
\(79\) | 3.54325 | + | 6.13709i | 0.398647 | + | 0.690477i | 0.993559 | − | 0.113314i | \(-0.0361465\pi\) |
−0.594912 | + | 0.803791i | \(0.702813\pi\) | |||||||
\(80\) | 8.94870 | + | 15.4996i | 1.00049 | + | 1.73291i | ||||
\(81\) | 2.57234 | − | 8.62456i | 0.285816 | − | 0.958285i | ||||
\(82\) | −4.59888 | + | 7.96550i | −0.507862 | + | 0.879642i | ||||
\(83\) | −2.05563 | + | 3.56046i | −0.225635 | + | 0.390811i | −0.956510 | − | 0.291700i | \(-0.905779\pi\) |
0.730875 | + | 0.682512i | \(0.239112\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −7.37636 | − | 12.7762i | −0.800078 | − | 1.38578i | ||||
\(86\) | 8.85532 | 0.954893 | ||||||||
\(87\) | 0.594554 | − | 2.88318i | 0.0637429 | − | 0.309109i | ||||
\(88\) | 5.30903 | 0.565945 | ||||||||
\(89\) | 4.80470 | − | 8.32199i | 0.509297 | − | 0.882129i | −0.490645 | − | 0.871360i | \(-0.663239\pi\) |
0.999942 | − | 0.0107692i | \(-0.00342802\pi\) | |||||||
\(90\) | −16.8040 | − | 7.23828i | −1.77130 | − | 0.762981i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −2.61126 | + | 4.52284i | −0.272243 | + | 0.471539i | ||||
\(93\) | −2.44437 | + | 11.8535i | −0.253469 | + | 1.22915i | ||||
\(94\) | −2.26578 | + | 3.92445i | −0.233697 | + | 0.404776i | ||||
\(95\) | −1.59455 | + | 2.76185i | −0.163598 | + | 0.283360i | ||||
\(96\) | 1.64400 | − | 7.97225i | 0.167790 | − | 0.813664i | ||||
\(97\) | 3.66071 | − | 6.34053i | 0.371688 | − | 0.643783i | −0.618137 | − | 0.786070i | \(-0.712112\pi\) |
0.989825 | + | 0.142287i | \(0.0454456\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −6.76145 | + | 5.03913i | −0.679551 | + | 0.506452i | ||||
\(100\) | −3.50000 | + | 6.06218i | −0.350000 | + | 0.606218i | ||||
\(101\) | −3.46472 | −0.344753 | −0.172376 | − | 0.985031i | \(-0.555144\pi\) | ||||
−0.172376 | + | 0.985031i | \(0.555144\pi\) | |||||||
\(102\) | −2.44437 | + | 11.8535i | −0.242028 | + | 1.17367i | ||||
\(103\) | 15.8764 | 1.56434 | 0.782172 | − | 0.623063i | \(-0.214112\pi\) | ||||
0.782172 | + | 0.623063i | \(0.214112\pi\) | |||||||
\(104\) | −0.944368 | − | 1.63569i | −0.0926029 | − | 0.160393i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.105074 | − | 0.181994i | 0.0102057 | − | 0.0176768i | ||||
\(107\) | 2.67673 | − | 4.63623i | 0.258769 | − | 0.448201i | −0.707143 | − | 0.707070i | \(-0.750016\pi\) |
0.965912 | + | 0.258869i | \(0.0833498\pi\) | |||||||
\(108\) | 1.95489 | + | 4.18383i | 0.188109 | + | 0.402589i | ||||
\(109\) | 9.43199 | + | 16.3367i | 0.903421 | + | 1.56477i | 0.823023 | + | 0.568008i | \(0.192286\pi\) |
0.0803973 | + | 0.996763i | \(0.474381\pi\) | |||||||
\(110\) | 8.57165 | + | 14.8465i | 0.817275 | + | 1.41556i | ||||
\(111\) | −1.66690 | + | 8.08330i | −0.158215 | + | 0.767233i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 9.27561 | + | 16.0658i | 0.872576 | + | 1.51135i | 0.859322 | + | 0.511434i | \(0.170886\pi\) |
0.0132538 | + | 0.999912i | \(0.495781\pi\) | |||||||
\(114\) | 2.48329 | − | 0.823583i | 0.232581 | − | 0.0771356i | ||||
\(115\) | 21.0865 | 1.96633 | ||||||||
\(116\) | 0.755260 | + | 1.30815i | 0.0701242 | + | 0.121459i | ||||
\(117\) | 2.75526 | + | 1.18682i | 0.254724 | + | 0.109722i | ||||
\(118\) | 15.0865 | 1.38883 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −11.1421 | + | 3.69529i | −1.01713 | + | 0.337332i | ||||
\(121\) | −3.09888 | −0.281717 | ||||||||
\(122\) | 3.29418 | − | 5.70569i | 0.298241 | − | 0.516569i | ||||
\(123\) | −7.00364 | − | 6.22948i | −0.631497 | − | 0.561693i | ||||
\(124\) | −3.10507 | − | 5.37815i | −0.278844 | − | 0.482972i | ||||
\(125\) | 10.3214 | 0.923175 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.98762 | 0.886258 | 0.443129 | − | 0.896458i | \(-0.353868\pi\) | ||||
0.443129 | + | 0.896458i | \(0.353868\pi\) | |||||||
\(128\) | −6.38874 | − | 11.0656i | −0.564690 | − | 0.978071i | ||||
\(129\) | −1.82258 | + | 8.83828i | −0.160470 | + | 0.778167i | ||||
\(130\) | 3.04944 | − | 5.28179i | 0.267454 | − | 0.463244i | ||||
\(131\) | −16.0531 | −1.40256 | −0.701282 | − | 0.712884i | \(-0.747389\pi\) | ||||
−0.701282 | + | 0.712884i | \(0.747389\pi\) | |||||||
\(132\) | 0.873885 | − | 4.23774i | 0.0760619 | − | 0.368848i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 20.9208 | 1.80728 | ||||||||
\(135\) | 10.6829 | − | 15.2819i | 0.919439 | − | 1.31526i | ||||
\(136\) | 3.88255 | + | 6.72477i | 0.332926 | + | 0.576644i | ||||
\(137\) | −12.9876 | −1.10961 | −0.554804 | − | 0.831981i | \(-0.687207\pi\) | ||||
−0.554804 | + | 0.831981i | \(0.687207\pi\) | |||||||
\(138\) | −12.9258 | − | 11.4970i | −1.10032 | − | 0.978691i | ||||
\(139\) | 0.555632 | + | 0.962383i | 0.0471281 | + | 0.0816283i | 0.888627 | − | 0.458630i | \(-0.151660\pi\) |
−0.841499 | + | 0.540259i | \(0.818326\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3.45056 | − | 3.06914i | −0.290589 | − | 0.258468i | ||||
\(142\) | 2.44437 | + | 4.23377i | 0.205127 | + | 0.355290i | ||||
\(143\) | −1.40545 | − | 2.43430i | −0.117529 | − | 0.203567i | ||||
\(144\) | 13.7422 | + | 5.91941i | 1.14518 | + | 0.493284i | ||||
\(145\) | 3.04944 | − | 5.28179i | 0.253242 | − | 0.438629i | ||||
\(146\) | −9.04325 | + | 15.6634i | −0.748425 | + | 1.29631i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −2.11745 | − | 3.66754i | −0.174054 | − | 0.301470i | ||||
\(149\) | 8.43268 | 0.690832 | 0.345416 | − | 0.938450i | \(-0.387738\pi\) | ||||
0.345416 | + | 0.938450i | \(0.387738\pi\) | |||||||
\(150\) | −17.3251 | − | 15.4100i | −1.41458 | − | 1.25822i | ||||
\(151\) | −14.8516 | −1.20861 | −0.604303 | − | 0.796755i | \(-0.706548\pi\) | ||||
−0.604303 | + | 0.796755i | \(0.706548\pi\) | |||||||
\(152\) | 0.839294 | − | 1.45370i | 0.0680757 | − | 0.117911i | ||||
\(153\) | −11.3276 | − | 4.87933i | −0.915782 | − | 0.394470i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −12.5371 | + | 21.7148i | −1.00700 | + | 1.74418i | ||||
\(156\) | −1.46108 | + | 0.484566i | −0.116980 | + | 0.0387964i | ||||
\(157\) | 1.44437 | − | 2.50172i | 0.115273 | − | 0.199659i | −0.802616 | − | 0.596496i | \(-0.796559\pi\) |
0.917889 | + | 0.396837i | \(0.129892\pi\) | |||||||
\(158\) | 6.02221 | − | 10.4308i | 0.479101 | − | 0.829828i | ||||
\(159\) | 0.160018 | + | 0.142330i | 0.0126902 | + | 0.0112875i | ||||
\(160\) | 8.43199 | − | 14.6046i | 0.666607 | − | 1.15460i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −14.8807 | + | 3.54299i | −1.16914 | + | 0.278363i | ||||
\(163\) | 5.15452 | − | 8.92788i | 0.403733 | − | 0.699286i | −0.590440 | − | 0.807081i | \(-0.701046\pi\) |
0.994173 | + | 0.107796i | \(0.0343792\pi\) | |||||||
\(164\) | 4.80951 | 0.375560 | ||||||||
\(165\) | −16.5822 | + | 5.49948i | −1.29092 | + | 0.428134i | ||||
\(166\) | 6.98762 | 0.542345 | ||||||||
\(167\) | 6.07598 | + | 10.5239i | 0.470174 | + | 0.814365i | 0.999418 | − | 0.0341045i | \(-0.0108579\pi\) |
−0.529244 | + | 0.848469i | \(0.677525\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.00000 | − | 10.3923i | 0.461538 | − | 0.799408i | ||||
\(170\) | −12.5371 | + | 21.7148i | −0.961549 | + | 1.66545i | ||||
\(171\) | 0.310892 | + | 2.64802i | 0.0237745 | + | 0.202499i | ||||
\(172\) | −2.31522 | − | 4.01008i | −0.176534 | − | 0.305766i | ||||
\(173\) | −3.30470 | − | 5.72391i | −0.251252 | − | 0.435181i | 0.712619 | − | 0.701551i | \(-0.247509\pi\) |
−0.963871 | + | 0.266370i | \(0.914176\pi\) | |||||||
\(174\) | −4.74907 | + | 1.57503i | −0.360026 | + | 0.119403i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −7.00983 | − | 12.1414i | −0.528386 | − | 0.915191i | ||||
\(177\) | −3.10507 | + | 15.0575i | −0.233392 | + | 1.13179i | ||||
\(178\) | −16.3324 | −1.22417 | ||||||||
\(179\) | 1.92147 | + | 3.32808i | 0.143617 | + | 0.248752i | 0.928856 | − | 0.370440i | \(-0.120793\pi\) |
−0.785239 | + | 0.619193i | \(0.787460\pi\) | |||||||
\(180\) | 1.11559 | + | 9.50206i | 0.0831515 | + | 0.708242i | ||||
\(181\) | −18.5426 | −1.37826 | −0.689129 | − | 0.724639i | \(-0.742007\pi\) | ||||
−0.689129 | + | 0.724639i | \(0.742007\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 5.01671 | + | 4.46218i | 0.370846 | + | 0.329854i | ||||
\(184\) | −11.0989 | −0.818221 | ||||||||
\(185\) | −8.54944 | + | 14.8081i | −0.628567 | + | 1.08871i | ||||
\(186\) | 19.5247 | − | 6.47536i | 1.43162 | − | 0.474796i | ||||
\(187\) | 5.77816 | + | 10.0081i | 0.422541 | + | 0.731862i | ||||
\(188\) | 2.36955 | 0.172818 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 5.42030 | 0.393230 | ||||||||
\(191\) | −2.31708 | − | 4.01330i | −0.167658 | − | 0.290392i | 0.769938 | − | 0.638119i | \(-0.220287\pi\) |
−0.937596 | + | 0.347726i | \(0.886954\pi\) | |||||||
\(192\) | 3.26764 | − | 1.08371i | 0.235822 | − | 0.0782102i | ||||
\(193\) | 12.6483 | − | 21.9075i | 0.910446 | − | 1.57694i | 0.0970118 | − | 0.995283i | \(-0.469072\pi\) |
0.813435 | − | 0.581656i | \(-0.197595\pi\) | |||||||
\(194\) | −12.4437 | −0.893404 | ||||||||
\(195\) | 4.64400 | + | 4.13066i | 0.332563 | + | 0.295803i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 10.7207 | 0.763816 | 0.381908 | − | 0.924200i | \(-0.375267\pi\) | ||||
0.381908 | + | 0.924200i | \(0.375267\pi\) | |||||||
\(198\) | 13.1632 | + | 5.67000i | 0.935466 | + | 0.402949i | ||||
\(199\) | −4.38323 | − | 7.59199i | −0.310719 | − | 0.538182i | 0.667799 | − | 0.744342i | \(-0.267237\pi\) |
−0.978518 | + | 0.206160i | \(0.933903\pi\) | |||||||
\(200\) | −14.8764 | −1.05192 | ||||||||
\(201\) | −4.30587 | + | 20.8805i | −0.303713 | + | 1.47280i | ||||
\(202\) | 2.94437 | + | 5.09979i | 0.207165 | + | 0.358820i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 6.00688 | − | 1.99218i | 0.420566 | − | 0.139481i | ||||
\(205\) | −9.70946 | − | 16.8173i | −0.678138 | − | 1.17457i | ||||
\(206\) | −13.4920 | − | 23.3687i | −0.940029 | − | 1.62818i | ||||
\(207\) | 14.1353 | − | 10.5346i | 0.982468 | − | 0.732208i | ||||
\(208\) | −2.49381 | + | 4.31941i | −0.172915 | + | 0.299497i | ||||
\(209\) | 1.24907 | − | 2.16345i | 0.0864000 | − | 0.149649i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.26509 | − | 9.11941i | −0.362464 | − | 0.627806i | 0.625902 | − | 0.779902i | \(-0.284731\pi\) |
−0.988366 | + | 0.152096i | \(0.951398\pi\) | |||||||
\(212\) | −0.109887 | −0.00754705 | ||||||||
\(213\) | −4.72872 | + | 1.56828i | −0.324006 | + | 0.107457i | ||||
\(214\) | −9.09888 | −0.621987 | ||||||||
\(215\) | −9.34795 | + | 16.1911i | −0.637525 | + | 1.10423i | ||||
\(216\) | −5.62296 | + | 8.04364i | −0.382594 | + | 0.547300i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 16.0309 | − | 27.7663i | 1.08575 | − | 1.88057i | ||||
\(219\) | −13.7720 | − | 12.2497i | −0.930624 | − | 0.827755i | ||||
\(220\) | 4.48212 | − | 7.76326i | 0.302184 | − | 0.523399i | ||||
\(221\) | 2.05563 | − | 3.56046i | 0.138277 | − | 0.239502i | ||||
\(222\) | 13.3145 | − | 4.41576i | 0.893613 | − | 0.296367i | ||||
\(223\) | −2.83379 | + | 4.90827i | −0.189765 | + | 0.328682i | −0.945172 | − | 0.326574i | \(-0.894106\pi\) |
0.755407 | + | 0.655256i | \(0.227439\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 18.9462 | − | 14.1201i | 1.26308 | − | 0.941338i | ||||
\(226\) | 15.7651 | − | 27.3059i | 1.04868 | − | 1.81636i | ||||
\(227\) | 11.0989 | 0.736659 | 0.368329 | − | 0.929695i | \(-0.379930\pi\) | ||||
0.368329 | + | 0.929695i | \(0.379930\pi\) | |||||||
\(228\) | −1.02221 | − | 0.909219i | −0.0676976 | − | 0.0602145i | ||||
\(229\) | −19.6428 | −1.29803 | −0.649017 | − | 0.760774i | \(-0.724820\pi\) | ||||
−0.649017 | + | 0.760774i | \(0.724820\pi\) | |||||||
\(230\) | −17.9196 | − | 31.0377i | −1.18158 | − | 2.04656i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.60507 | + | 2.78007i | −0.105378 | + | 0.182521i | ||||
\(233\) | −4.48143 | + | 7.76207i | −0.293588 | + | 0.508510i | −0.974656 | − | 0.223711i | \(-0.928183\pi\) |
0.681067 | + | 0.732221i | \(0.261516\pi\) | |||||||
\(234\) | −0.594554 | − | 5.06410i | −0.0388672 | − | 0.331051i | ||||
\(235\) | −4.78366 | − | 8.28554i | −0.312052 | − | 0.540489i | ||||
\(236\) | −3.94437 | − | 6.83185i | −0.256756 | − | 0.444715i | ||||
\(237\) | 9.17123 | + | 8.15747i | 0.595735 | + | 0.529884i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −5.61126 | − | 9.71899i | −0.362963 | − | 0.628670i | 0.625484 | − | 0.780237i | \(-0.284901\pi\) |
−0.988447 | + | 0.151567i | \(0.951568\pi\) | |||||||
\(240\) | 23.1625 | + | 20.6022i | 1.49513 | + | 1.32986i | ||||
\(241\) | 6.98624 | 0.450023 | 0.225012 | − | 0.974356i | \(-0.427758\pi\) | ||||
0.225012 | + | 0.974356i | \(0.427758\pi\) | |||||||
\(242\) | 2.63348 | + | 4.56131i | 0.169286 | + | 0.293212i | ||||
\(243\) | −0.473458 | − | 15.5813i | −0.0303723 | − | 0.999539i | ||||
\(244\) | −3.44506 | −0.220547 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −3.21751 | + | 15.6027i | −0.205141 | + | 0.994792i | ||||
\(247\) | −0.888736 | −0.0565489 | ||||||||
\(248\) | 6.59888 | − | 11.4296i | 0.419030 | − | 0.725781i | ||||
\(249\) | −1.43818 | + | 6.97418i | −0.0911408 | + | 0.441970i | ||||
\(250\) | −8.77128 | − | 15.1923i | −0.554745 | − | 0.960846i | ||||
\(251\) | −4.62041 | −0.291638 | −0.145819 | − | 0.989311i | \(-0.546582\pi\) | ||||
−0.145819 | + | 0.989311i | \(0.546582\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −16.5178 | −1.03847 | ||||||||
\(254\) | −8.48762 | − | 14.7010i | −0.532561 | − | 0.922422i | ||||
\(255\) | −19.0927 | − | 16.9822i | −1.19563 | − | 1.06347i | ||||
\(256\) | −8.87085 | + | 15.3648i | −0.554428 | + | 0.960298i | ||||
\(257\) | 1.42402 | 0.0888277 | 0.0444138 | − | 0.999013i | \(-0.485858\pi\) | ||||
0.0444138 | + | 0.999013i | \(0.485858\pi\) | |||||||
\(258\) | 14.5581 | − | 4.82819i | 0.906348 | − | 0.300590i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −3.18911 | −0.197780 | ||||||||
\(261\) | −0.594554 | − | 5.06410i | −0.0368020 | − | 0.313460i | ||||
\(262\) | 13.6421 | + | 23.6289i | 0.842814 | + | 1.45980i | ||||
\(263\) | 16.2632 | 1.00283 | 0.501417 | − | 0.865206i | \(-0.332812\pi\) | ||||
0.501417 | + | 0.865206i | \(0.332812\pi\) | |||||||
\(264\) | 8.72803 | − | 2.89465i | 0.537173 | − | 0.178153i | ||||
\(265\) | 0.221840 | + | 0.384237i | 0.0136275 | + | 0.0236035i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 3.36151 | − | 16.3010i | 0.205721 | − | 0.997604i | ||||
\(268\) | −5.46974 | − | 9.47387i | −0.334118 | − | 0.578709i | ||||
\(269\) | −9.32691 | − | 16.1547i | −0.568672 | − | 0.984969i | −0.996698 | − | 0.0812022i | \(-0.974124\pi\) |
0.428026 | − | 0.903767i | \(-0.359209\pi\) | |||||||
\(270\) | −31.5723 | − | 2.73763i | −1.92143 | − | 0.166607i | ||||
\(271\) | 1.98143 | − | 3.43194i | 0.120363 | − | 0.208475i | −0.799548 | − | 0.600603i | \(-0.794927\pi\) |
0.919911 | + | 0.392127i | \(0.128261\pi\) | |||||||
\(272\) | 10.2527 | − | 17.7582i | 0.621662 | − | 1.07675i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 11.0371 | + | 19.1168i | 0.666773 | + | 1.15489i | ||||
\(275\) | −22.1396 | −1.33507 | ||||||||
\(276\) | −1.82691 | + | 8.85928i | −0.109967 | + | 0.533266i | ||||
\(277\) | −2.33379 | −0.140224 | −0.0701120 | − | 0.997539i | \(-0.522336\pi\) | ||||
−0.0701120 | + | 0.997539i | \(0.522336\pi\) | |||||||
\(278\) | 0.944368 | − | 1.63569i | 0.0566394 | − | 0.0981024i | ||||
\(279\) | 2.44437 | + | 20.8199i | 0.146340 | + | 1.24645i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −13.9975 | + | 24.2443i | −0.835018 | + | 1.44629i | 0.0589978 | + | 0.998258i | \(0.481210\pi\) |
−0.894016 | + | 0.448035i | \(0.852124\pi\) | |||||||
\(282\) | −1.58520 | + | 7.68715i | −0.0943975 | + | 0.457763i | ||||
\(283\) | 5.16002 | − | 8.93741i | 0.306731 | − | 0.531274i | −0.670914 | − | 0.741535i | \(-0.734098\pi\) |
0.977645 | + | 0.210261i | \(0.0674314\pi\) | |||||||
\(284\) | 1.27816 | − | 2.21384i | 0.0758449 | − | 0.131367i | ||||
\(285\) | −1.11559 | + | 5.40987i | −0.0660821 | + | 0.320453i | ||||
\(286\) | −2.38874 | + | 4.13741i | −0.141249 | + | 0.244650i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −1.64400 | − | 14.0027i | −0.0968734 | − | 0.825117i | ||||
\(289\) | 0.0487535 | − | 0.0844436i | 0.00286785 | − | 0.00496727i | ||||
\(290\) | −10.3658 | −0.608703 | ||||||||
\(291\) | 2.56113 | − | 12.4197i | 0.150136 | − | 0.728058i | ||||
\(292\) | 9.45744 | 0.553455 | ||||||||
\(293\) | −15.3480 | − | 26.5834i | −0.896637 | − | 1.55302i | −0.831765 | − | 0.555127i | \(-0.812670\pi\) |
−0.0648718 | − | 0.997894i | \(-0.520664\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −15.9258 | + | 27.5843i | −0.927236 | + | 1.60602i | ||||
\(296\) | 4.50000 | − | 7.79423i | 0.261557 | − | 0.453030i | ||||
\(297\) | −8.36831 | + | 11.9709i | −0.485578 | + | 0.694620i | ||||
\(298\) | −7.16621 | − | 12.4122i | −0.415127 | − | 0.719021i | ||||
\(299\) | 2.93818 | + | 5.08907i | 0.169919 | + | 0.294309i | ||||
\(300\) | −2.44870 | + | 11.8745i | −0.141376 | + | 0.685575i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 12.6211 | + | 21.8604i | 0.726262 | + | 1.25792i | ||||
\(303\) | −5.69599 | + | 1.88907i | −0.327226 | + | 0.108524i | ||||
\(304\) | −4.43268 | −0.254231 | ||||||||
\(305\) | 6.95489 | + | 12.0462i | 0.398236 | + | 0.689765i | ||||
\(306\) | 2.44437 | + | 20.8199i | 0.139735 | + | 1.19019i | ||||
\(307\) | 11.4437 | 0.653125 | 0.326563 | − | 0.945176i | \(-0.394110\pi\) | ||||
0.326563 | + | 0.945176i | \(0.394110\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 26.1007 | − | 8.65628i | 1.48482 | − | 0.492439i | ||||
\(310\) | 42.6167 | 2.42047 | ||||||||
\(311\) | 5.98143 | − | 10.3601i | 0.339176 | − | 0.587470i | −0.645102 | − | 0.764096i | \(-0.723185\pi\) |
0.984278 | + | 0.176627i | \(0.0565185\pi\) | |||||||
\(312\) | −2.44437 | − | 2.17417i | −0.138385 | − | 0.123088i | ||||
\(313\) | −6.77197 | − | 11.7294i | −0.382774 | − | 0.662985i | 0.608683 | − | 0.793413i | \(-0.291698\pi\) |
−0.991458 | + | 0.130429i | \(0.958365\pi\) | |||||||
\(314\) | −4.90978 | −0.277075 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −6.29803 | −0.354292 | ||||||||
\(317\) | 14.9814 | + | 25.9486i | 0.841441 | + | 1.45742i | 0.888676 | + | 0.458535i | \(0.151626\pi\) |
−0.0472355 | + | 0.998884i | \(0.515041\pi\) | |||||||
\(318\) | 0.0735129 | − | 0.356487i | 0.00412240 | − | 0.0199908i | ||||
\(319\) | −2.38874 | + | 4.13741i | −0.133744 | + | 0.231651i | ||||
\(320\) | 7.13231 | 0.398708 | ||||||||
\(321\) | 1.87271 | − | 9.08138i | 0.104525 | − | 0.506873i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.65383 | 0.203304 | ||||||||
\(324\) | 5.49498 | + | 5.81233i | 0.305277 | + | 0.322907i | ||||
\(325\) | 3.93818 | + | 6.82112i | 0.218451 | + | 0.378368i | ||||
\(326\) | −17.5215 | −0.970427 | ||||||||
\(327\) | 24.4134 | + | 21.7148i | 1.35007 | + | 1.20083i | ||||
\(328\) | 5.11058 | + | 8.85178i | 0.282184 | + | 0.488758i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 22.1866 | + | 19.7341i | 1.22133 | + | 1.08633i | ||||
\(331\) | −1.04325 | − | 1.80697i | −0.0573423 | − | 0.0993198i | 0.835929 | − | 0.548837i | \(-0.184929\pi\) |
−0.893272 | + | 0.449517i | \(0.851596\pi\) | |||||||
\(332\) | −1.82691 | − | 3.16431i | −0.100265 | − | 0.173664i | ||||
\(333\) | 1.66690 | + | 14.1978i | 0.0913454 | + | 0.778032i | ||||
\(334\) | 10.3269 | − | 17.8867i | 0.565064 | − | 0.978719i | ||||
\(335\) | −22.0846 | + | 38.2517i | −1.20661 | + | 2.08992i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 8.10439 | + | 14.0372i | 0.441474 | + | 0.764655i | 0.997799 | − | 0.0663093i | \(-0.0211224\pi\) |
−0.556325 | + | 0.830965i | \(0.687789\pi\) | |||||||
\(338\) | −20.3955 | −1.10937 | ||||||||
\(339\) | 24.0087 | + | 21.3548i | 1.30397 | + | 1.15983i | ||||
\(340\) | 13.1113 | 0.711058 | ||||||||
\(341\) | 9.82072 | − | 17.0100i | 0.531822 | − | 0.921143i | ||||
\(342\) | 3.63348 | − | 2.70793i | 0.196476 | − | 0.146428i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 4.92030 | − | 8.52220i | 0.265285 | − | 0.459486i | ||||
\(345\) | 34.6661 | − | 11.4970i | 1.86636 | − | 0.618979i | ||||
\(346\) | −5.61677 | + | 9.72852i | −0.301959 | + | 0.523009i | ||||
\(347\) | −5.63348 | + | 9.75747i | −0.302421 | + | 0.523808i | −0.976684 | − | 0.214683i | \(-0.931128\pi\) |
0.674263 | + | 0.738491i | \(0.264461\pi\) | |||||||
\(348\) | 1.95489 | + | 1.73880i | 0.104793 | + | 0.0932095i | ||||
\(349\) | −0.0988844 | + | 0.171273i | −0.00529316 | + | 0.00916803i | −0.868660 | − | 0.495409i | \(-0.835018\pi\) |
0.863367 | + | 0.504577i | \(0.168352\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 5.17673 | + | 0.448873i | 0.276313 | + | 0.0239591i | ||||
\(352\) | −6.60507 | + | 11.4403i | −0.352052 | + | 0.609771i | ||||
\(353\) | 12.5019 | 0.665407 | 0.332703 | − | 0.943032i | \(-0.392039\pi\) | ||||
0.332703 | + | 0.943032i | \(0.392039\pi\) | |||||||
\(354\) | 24.8022 | − | 8.22563i | 1.31822 | − | 0.437187i | ||||
\(355\) | −10.3214 | −0.547804 | ||||||||
\(356\) | 4.27011 | + | 7.39605i | 0.226315 | + | 0.391990i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 3.26578 | − | 5.65650i | 0.172602 | − | 0.298955i | ||||
\(359\) | −10.0098 | + | 17.3375i | −0.528299 | + | 0.915040i | 0.471157 | + | 0.882049i | \(0.343837\pi\) |
−0.999456 | + | 0.0329908i | \(0.989497\pi\) | |||||||
\(360\) | −16.3028 | + | 12.1501i | −0.859235 | + | 0.640365i | ||||
\(361\) | 9.10507 | + | 15.7705i | 0.479214 | + | 0.830024i | ||||
\(362\) | 15.7577 | + | 27.2932i | 0.828208 | + | 1.43450i | ||||
\(363\) | −5.09455 | + | 1.68961i | −0.267395 | + | 0.0886814i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −19.0927 | − | 33.0695i | −0.999357 | − | 1.73094i | ||||
\(366\) | 2.30470 | − | 11.1762i | 0.120469 | − | 0.584191i | ||||
\(367\) | −30.0727 | −1.56978 | −0.784892 | − | 0.619632i | \(-0.787282\pi\) | ||||
−0.784892 | + | 0.619632i | \(0.787282\pi\) | |||||||
\(368\) | 14.6545 | + | 25.3824i | 0.763919 | + | 1.32315i | ||||
\(369\) | −14.9105 | − | 6.42264i | −0.776208 | − | 0.334349i | ||||
\(370\) | 29.0617 | 1.51085 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −8.03706 | − | 7.14867i | −0.416702 | − | 0.370641i | ||||
\(373\) | 7.01238 | 0.363087 | 0.181544 | − | 0.983383i | \(-0.441891\pi\) | ||||
0.181544 | + | 0.983383i | \(0.441891\pi\) | |||||||
\(374\) | 9.82072 | − | 17.0100i | 0.507818 | − | 0.879566i | ||||
\(375\) | 16.9684 | − | 5.62755i | 0.876242 | − | 0.290606i | ||||
\(376\) | 2.51788 | + | 4.36110i | 0.129850 | + | 0.224906i | ||||
\(377\) | 1.69963 | 0.0875353 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −19.0741 | −0.979772 | −0.489886 | − | 0.871787i | \(-0.662962\pi\) | ||||
−0.489886 | + | 0.871787i | \(0.662962\pi\) | |||||||
\(380\) | −1.41714 | − | 2.45455i | −0.0726976 | − | 0.125916i | ||||
\(381\) | 16.4196 | − | 5.44556i | 0.841202 | − | 0.278985i | ||||
\(382\) | −3.93818 | + | 6.82112i | −0.201495 | + | 0.348999i | ||||
\(383\) | −3.21015 | −0.164031 | −0.0820155 | − | 0.996631i | \(-0.526136\pi\) | ||||
−0.0820155 | + | 0.996631i | \(0.526136\pi\) | |||||||
\(384\) | −16.5364 | − | 14.7085i | −0.843868 | − | 0.750590i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −42.9949 | −2.18838 | ||||||||
\(387\) | 1.82258 | + | 15.5238i | 0.0926471 | + | 0.789120i | ||||
\(388\) | 3.25340 | + | 5.63506i | 0.165166 | + | 0.286077i | ||||
\(389\) | 5.13602 | 0.260407 | 0.130203 | − | 0.991487i | \(-0.458437\pi\) | ||||
0.130203 | + | 0.991487i | \(0.458437\pi\) | |||||||
\(390\) | 2.13348 | − | 10.3459i | 0.108033 | − | 0.523885i | ||||
\(391\) | −12.0796 | − | 20.9225i | −0.610893 | − | 1.05810i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −26.3912 | + | 8.75264i | −1.33126 | + | 0.441512i | ||||
\(394\) | −9.11058 | − | 15.7800i | −0.458984 | − | 0.794984i | ||||
\(395\) | 12.7145 | + | 22.0221i | 0.639735 | + | 1.10805i | ||||
\(396\) | −0.873885 | − | 7.44330i | −0.0439144 | − | 0.374040i | ||||
\(397\) | 11.4691 | − | 19.8650i | 0.575615 | − | 0.996995i | −0.420359 | − | 0.907358i | \(-0.638096\pi\) |
0.995975 | − | 0.0896370i | \(-0.0285707\pi\) | |||||||
\(398\) | −7.44987 | + | 12.9036i | −0.373428 | + | 0.646797i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 19.6421 | + | 34.0212i | 0.982107 | + | 1.70106i | ||||
\(401\) | −18.2101 | −0.909371 | −0.454686 | − | 0.890652i | \(-0.650248\pi\) | ||||
−0.454686 | + | 0.890652i | \(0.650248\pi\) | |||||||
\(402\) | 34.3937 | − | 11.4067i | 1.71540 | − | 0.568912i | ||||
\(403\) | −6.98762 | −0.348078 | ||||||||
\(404\) | 1.53961 | − | 2.66668i | 0.0765985 | − | 0.132672i | ||||
\(405\) | 9.23050 | − | 30.9481i | 0.458667 | − | 1.53782i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 6.69708 | − | 11.5997i | 0.331962 | − | 0.574975i | ||||
\(408\) | 10.0494 | + | 8.93861i | 0.497522 | + | 0.442527i | ||||
\(409\) | −7.66621 | + | 13.2783i | −0.379070 | + | 0.656568i | −0.990927 | − | 0.134400i | \(-0.957089\pi\) |
0.611858 | + | 0.790968i | \(0.290423\pi\) | |||||||
\(410\) | −16.5025 | + | 28.5831i | −0.814999 | + | 1.41162i | ||||
\(411\) | −21.3516 | + | 7.08125i | −1.05320 | + | 0.349293i | ||||
\(412\) | −7.05494 | + | 12.2195i | −0.347572 | + | 0.602013i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −27.5185 | − | 11.8535i | −1.35246 | − | 0.582568i | ||||
\(415\) | −7.37636 | + | 12.7762i | −0.362091 | + | 0.627160i | ||||
\(416\) | 4.69963 | 0.230418 | ||||||||
\(417\) | 1.43818 | + | 1.27921i | 0.0704279 | + | 0.0626430i | ||||
\(418\) | −4.24591 | −0.207674 | ||||||||
\(419\) | 5.28435 | + | 9.15276i | 0.258157 | + | 0.447142i | 0.965748 | − | 0.259481i | \(-0.0835513\pi\) |
−0.707591 | + | 0.706622i | \(0.750218\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 18.0858 | − | 31.3256i | 0.881449 | − | 1.52671i | 0.0317181 | − | 0.999497i | \(-0.489902\pi\) |
0.849731 | − | 0.527217i | \(-0.176765\pi\) | |||||||
\(422\) | −8.94870 | + | 15.4996i | −0.435616 | + | 0.754509i | ||||
\(423\) | −7.34610 | − | 3.16431i | −0.357179 | − | 0.153854i | ||||
\(424\) | −0.116765 | − | 0.202243i | −0.00567062 | − | 0.00982181i | ||||
\(425\) | −16.1909 | − | 28.0434i | −0.785374 | − | 1.36031i | ||||
\(426\) | 6.32691 | + | 5.62755i | 0.306540 | + | 0.272656i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 2.37890 | + | 4.12038i | 0.114989 | + | 0.199166i | ||||
\(429\) | −3.63781 | − | 3.23569i | −0.175635 | − | 0.156221i | ||||
\(430\) | 31.7761 | 1.53238 | ||||||||
\(431\) | −17.5494 | − | 30.3965i | −0.845327 | − | 1.46415i | −0.885337 | − | 0.464950i | \(-0.846072\pi\) |
0.0400101 | − | 0.999199i | \(-0.487261\pi\) | |||||||
\(432\) | 25.8196 | + | 2.23881i | 1.24224 | + | 0.107715i | ||||
\(433\) | 41.1730 | 1.97865 | 0.989324 | − | 0.145731i | \(-0.0465533\pi\) | ||||
0.989324 | + | 0.145731i | \(0.0465533\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 2.13348 | − | 10.3459i | 0.102292 | − | 0.496047i | ||||
\(436\) | −16.7651 | −0.802902 | ||||||||
\(437\) | −2.61126 | + | 4.52284i | −0.124914 | + | 0.216357i | ||||
\(438\) | −6.32691 | + | 30.6812i | −0.302312 | + | 1.46600i | ||||
\(439\) | −2.33929 | − | 4.05178i | −0.111648 | − | 0.193381i | 0.804787 | − | 0.593564i | \(-0.202280\pi\) |
−0.916435 | + | 0.400184i | \(0.868946\pi\) | |||||||
\(440\) | 19.0507 | 0.908209 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −6.98762 | −0.332367 | ||||||||
\(443\) | −15.0865 | − | 26.1306i | −0.716781 | − | 1.24150i | −0.962268 | − | 0.272102i | \(-0.912281\pi\) |
0.245487 | − | 0.969400i | \(-0.421052\pi\) | |||||||
\(444\) | −5.48074 | − | 4.87492i | −0.260104 | − | 0.231353i | ||||
\(445\) | 17.2410 | − | 29.8623i | 0.817303 | − | 1.41561i | ||||
\(446\) | 9.63279 | 0.456126 | ||||||||
\(447\) | 13.8633 | − | 4.59776i | 0.655711 | − | 0.217466i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 0.333792 | 0.0157526 | 0.00787632 | − | 0.999969i | \(-0.497493\pi\) | ||||
0.00787632 | + | 0.999969i | \(0.497493\pi\) | |||||||
\(450\) | −36.8843 | − | 15.8878i | −1.73874 | − | 0.748959i | ||||
\(451\) | 7.60576 | + | 13.1736i | 0.358141 | + | 0.620319i | ||||
\(452\) | −16.4871 | −0.775490 | ||||||||
\(453\) | −24.4160 | + | 8.09755i | −1.14716 | + | 0.380456i | ||||
\(454\) | −9.43199 | − | 16.3367i | −0.442665 | − | 0.766719i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0.587193 | − | 2.84748i | 0.0274979 | − | 0.133346i | ||||
\(457\) | 9.65452 | + | 16.7221i | 0.451619 | + | 0.782227i | 0.998487 | − | 0.0549917i | \(-0.0175132\pi\) |
−0.546868 | + | 0.837219i | \(0.684180\pi\) | |||||||
\(458\) | 16.6927 | + | 28.9127i | 0.780001 | + | 1.35100i | ||||
\(459\) | −21.2829 | − | 1.84544i | −0.993401 | − | 0.0861376i | ||||
\(460\) | −9.37017 | + | 16.2296i | −0.436886 | + | 0.756709i | ||||
\(461\) | 19.5538 | − | 33.8681i | 0.910710 | − | 1.57740i | 0.0976463 | − | 0.995221i | \(-0.468869\pi\) |
0.813064 | − | 0.582175i | \(-0.197798\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −10.9382 | − | 18.9455i | −0.508340 | − | 0.880471i | −0.999953 | − | 0.00965741i | \(-0.996926\pi\) |
0.491613 | − | 0.870814i | \(-0.336407\pi\) | |||||||
\(464\) | 8.47710 | 0.393539 | ||||||||
\(465\) | −8.77128 | + | 42.5347i | −0.406758 | + | 1.97250i | ||||
\(466\) | 15.2335 | 0.705680 | ||||||||
\(467\) | −6.16002 | + | 10.6695i | −0.285052 | + | 0.493724i | −0.972622 | − | 0.232394i | \(-0.925344\pi\) |
0.687570 | + | 0.726118i | \(0.258677\pi\) | |||||||
\(468\) | −2.13781 | + | 1.59325i | −0.0988201 | + | 0.0736480i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −8.13045 | + | 14.0823i | −0.375029 | + | 0.649570i | ||||
\(471\) | 1.01052 | − | 4.90033i | 0.0465623 | − | 0.225795i | ||||
\(472\) | 8.38255 | − | 14.5190i | 0.385838 | − | 0.668291i | ||||
\(473\) | 7.32258 | − | 12.6831i | 0.336693 | − | 0.583169i | ||||
\(474\) | 4.21331 | − | 20.4317i | 0.193524 | − | 0.938457i | ||||
\(475\) | −3.50000 | + | 6.06218i | −0.160591 | + | 0.278152i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0.340671 | + | 0.146743i | 0.0155983 | + | 0.00671890i | ||||
\(478\) | −9.53706 | + | 16.5187i | −0.436215 | + | 0.755547i | ||||
\(479\) | −13.4895 | −0.616350 | −0.308175 | − | 0.951330i | \(-0.599718\pi\) | ||||
−0.308175 | + | 0.951330i | \(0.599718\pi\) | |||||||
\(480\) | 5.89926 | − | 28.6073i | 0.269263 | − | 1.30574i | ||||
\(481\) | −4.76509 | −0.217269 | ||||||||
\(482\) | −5.93701 | − | 10.2832i | −0.270423 | − | 0.468387i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.37704 | − | 2.38511i | 0.0625929 | − | 0.108414i | ||||
\(485\) | 13.1359 | − | 22.7521i | 0.596473 | − | 1.03312i | ||||
\(486\) | −22.5320 | + | 13.9381i | −1.02207 | + | 0.632244i | ||||
\(487\) | −3.77197 | − | 6.53324i | −0.170924 | − | 0.296050i | 0.767819 | − | 0.640667i | \(-0.221342\pi\) |
−0.938743 | + | 0.344617i | \(0.888009\pi\) | |||||||
\(488\) | −3.66071 | − | 6.34053i | −0.165712 | − | 0.287022i | ||||
\(489\) | 3.60624 | − | 17.4878i | 0.163080 | − | 0.790826i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 8.06979 | + | 13.9773i | 0.364185 | + | 0.630786i | 0.988645 | − | 0.150270i | \(-0.0480143\pi\) |
−0.624460 | + | 0.781057i | \(0.714681\pi\) | |||||||
\(492\) | 7.90682 | − | 2.62230i | 0.356467 | − | 0.118222i | ||||
\(493\) | −6.98762 | −0.314707 | ||||||||
\(494\) | 0.755260 | + | 1.30815i | 0.0339808 | + | 0.0588564i | ||||
\(495\) | −24.2625 | + | 18.0822i | −1.09052 | + | 0.812736i | ||||
\(496\) | −34.8516 | −1.56488 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 11.4876 | − | 3.80987i | 0.514773 | − | 0.170724i | ||||
\(499\) | −30.8654 | −1.38172 | −0.690862 | − | 0.722987i | \(-0.742769\pi\) | ||||
−0.690862 | + | 0.722987i | \(0.742769\pi\) | |||||||
\(500\) | −4.58650 | + | 7.94406i | −0.205115 | + | 0.355269i | ||||
\(501\) | 15.7269 | + | 13.9885i | 0.702624 | + | 0.624958i | ||||
\(502\) | 3.92649 | + | 6.80088i | 0.175248 | + | 0.303538i | ||||
\(503\) | −24.6304 | −1.09822 | −0.549109 | − | 0.835751i | \(-0.685033\pi\) | ||||
−0.549109 | + | 0.835751i | \(0.685033\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −12.4327 | −0.553247 | ||||||||
\(506\) | 14.0371 | + | 24.3129i | 0.624024 | + | 1.08084i | ||||
\(507\) | 4.19777 | − | 20.3563i | 0.186429 | − | 0.904055i | ||||
\(508\) | −4.43818 | + | 7.68715i | −0.196912 | + | 0.341062i | ||||
\(509\) | −13.5897 | −0.602355 | −0.301177 | − | 0.953568i | \(-0.597380\pi\) | ||||
−0.301177 | + | 0.953568i | \(0.597380\pi\) | |||||||
\(510\) | −8.77128 | + | 42.5347i | −0.388399 | + | 1.88347i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 4.59937 | 0.203265 | ||||||||
\(513\) | 1.95489 | + | 4.18383i | 0.0863104 | + | 0.184720i | ||||
\(514\) | −1.21015 | − | 2.09604i | −0.0533774 | − | 0.0924523i | ||||
\(515\) | 56.9701 | 2.51040 | ||||||||
\(516\) | −5.99264 | − | 5.33023i | −0.263811 | − | 0.234650i | ||||
\(517\) | 3.74721 | + | 6.49036i | 0.164802 | + | 0.285446i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −8.55377 | − | 7.60826i | −0.375469 | − | 0.333966i | ||||
\(520\) | −3.38874 | − | 5.86946i | −0.148606 | − | 0.257393i | ||||
\(521\) | −19.5865 | − | 33.9248i | −0.858100 | − | 1.48627i | −0.873739 | − | 0.486396i | \(-0.838311\pi\) |
0.0156383 | − | 0.999878i | \(-0.495022\pi\) | |||||||
\(522\) | −6.94870 | + | 5.17868i | −0.304136 | + | 0.226665i | ||||
\(523\) | 9.56182 | − | 16.5616i | 0.418109 | − | 0.724187i | −0.577640 | − | 0.816292i | \(-0.696026\pi\) |
0.995749 | + | 0.0921051i | \(0.0293596\pi\) | |||||||
\(524\) | 7.13348 | − | 12.3555i | 0.311627 | − | 0.539754i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −13.8207 | − | 23.9382i | −0.602612 | − | 1.04375i | ||||
\(527\) | 28.7280 | 1.25141 | ||||||||
\(528\) | −18.1440 | − | 16.1384i | −0.789616 | − | 0.702334i | ||||
\(529\) | 11.5316 | 0.501372 | ||||||||
\(530\) | 0.377045 | − | 0.653061i | 0.0163778 | − | 0.0283671i | ||||
\(531\) | 3.10507 | + | 26.4474i | 0.134749 | + | 1.14772i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 2.70582 | − | 4.68661i | 0.117202 | − | 0.203000i | ||||
\(534\) | −26.8504 | + | 8.90494i | −1.16193 | + | 0.385354i | ||||
\(535\) | 9.60507 | − | 16.6365i | 0.415264 | − | 0.719258i | ||||
\(536\) | 11.6243 | − | 20.1338i | 0.502091 | − | 0.869648i | ||||
\(537\) | 4.97346 | + | 4.42371i | 0.214621 | + | 0.190897i | ||||
\(538\) | −15.8523 | + | 27.4570i | −0.683441 | + | 1.18375i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 7.01485 | + | 15.0131i | 0.301871 | + | 0.646061i | ||||
\(541\) | −1.26509 | + | 2.19120i | −0.0543906 | + | 0.0942072i | −0.891939 | − | 0.452156i | \(-0.850655\pi\) |
0.837548 | + | 0.546363i | \(0.183988\pi\) | |||||||
\(542\) | −6.73539 | −0.289310 | ||||||||
\(543\) | −30.4839 | + | 10.1100i | −1.30819 | + | 0.433861i | ||||
\(544\) | −19.3214 | −0.828399 | ||||||||
\(545\) | 33.8454 | + | 58.6220i | 1.44978 | + | 2.51109i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −8.92580 | + | 15.4599i | −0.381640 | + | 0.661019i | −0.991297 | − | 0.131646i | \(-0.957974\pi\) |
0.609657 | + | 0.792665i | \(0.291307\pi\) | |||||||
\(548\) | 5.77128 | − | 9.99615i | 0.246537 | − | 0.427015i | ||||
\(549\) | 10.6804 | + | 4.60054i | 0.455827 | + | 0.196346i | ||||
\(550\) | 18.8145 | + | 32.5877i | 0.802254 | + | 1.38955i | ||||
\(551\) | 0.755260 | + | 1.30815i | 0.0321752 | + | 0.0557290i | ||||
\(552\) | −18.2465 | + | 6.05146i | −0.776624 | + | 0.257567i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 1.98329 | + | 3.43516i | 0.0842619 | + | 0.145946i | ||||
\(555\) | −5.98143 | + | 29.0058i | −0.253898 | + | 1.23123i | ||||
\(556\) | −0.987620 | −0.0418844 | ||||||||
\(557\) | −20.6804 | − | 35.8195i | −0.876255 | − | 1.51772i | −0.855419 | − | 0.517936i | \(-0.826701\pi\) |
−0.0208360 | − | 0.999783i | \(-0.506633\pi\) | |||||||
\(558\) | 28.5679 | − | 21.2909i | 1.20938 | − | 0.901317i | ||||
\(559\) | −5.21015 | −0.220366 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 14.9560 | + | 13.3028i | 0.631442 | + | 0.561644i | ||||
\(562\) | 47.5809 | 2.00708 | ||||||||
\(563\) | −10.3683 | + | 17.9584i | −0.436972 | + | 0.756858i | −0.997454 | − | 0.0713087i | \(-0.977282\pi\) |
0.560482 | + | 0.828166i | \(0.310616\pi\) | |||||||
\(564\) | 3.89554 | − | 1.29195i | 0.164032 | − | 0.0544011i | ||||
\(565\) | 33.2843 | + | 57.6501i | 1.40028 | + | 2.42536i | ||||
\(566\) | −17.5402 | −0.737271 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 5.43268 | 0.227950 | ||||||||
\(569\) | 0.134164 | + | 0.232379i | 0.00562446 | + | 0.00974185i | 0.868824 | − | 0.495121i | \(-0.164876\pi\) |
−0.863199 | + | 0.504863i | \(0.831543\pi\) | |||||||
\(570\) | 8.91095 | − | 2.95531i | 0.373239 | − | 0.123785i | ||||
\(571\) | −17.9684 | + | 31.1221i | −0.751953 | + | 1.30242i | 0.194923 | + | 0.980819i | \(0.437554\pi\) |
−0.946875 | + | 0.321601i | \(0.895779\pi\) | |||||||
\(572\) | 2.49814 | 0.104453 | ||||||||
\(573\) | −5.99745 | − | 5.33451i | −0.250547 | − | 0.222852i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 46.2843 | 1.93019 | ||||||||
\(576\) | 4.78111 | − | 3.56324i | 0.199213 | − | 0.148468i | ||||
\(577\) | 2.71565 | + | 4.70364i | 0.113054 | + | 0.195815i | 0.917000 | − | 0.398887i | \(-0.130603\pi\) |
−0.803946 | + | 0.594702i | \(0.797270\pi\) | |||||||
\(578\) | −0.165726 | −0.00689328 | ||||||||
\(579\) | 8.84913 | − | 42.9122i | 0.367757 | − | 1.78337i | ||||
\(580\) | 2.71015 | + | 4.69412i | 0.112533 | + | 0.194913i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −20.4574 | + | 6.78468i | −0.847985 | + | 0.281234i | ||||
\(583\) | −0.173775 | − | 0.300987i | −0.00719702 | − | 0.0124656i | ||||
\(584\) | 10.0494 | + | 17.4061i | 0.415849 | + | 0.720271i | ||||
\(585\) | 9.88688 | + | 4.25874i | 0.408772 | + | 0.176077i | ||||
\(586\) | −26.0858 | + | 45.1820i | −1.07760 | + | 1.86645i | ||||
\(587\) | 17.5822 | − | 30.4532i | 0.725694 | − | 1.25694i | −0.232994 | − | 0.972478i | \(-0.574852\pi\) |
0.958688 | − | 0.284461i | \(-0.0918145\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −3.10507 | − | 5.37815i | −0.127942 | − | 0.221603i | ||||
\(590\) | 54.1359 | 2.22874 | ||||||||
\(591\) | 17.6247 | − | 5.84524i | 0.724985 | − | 0.240441i | ||||
\(592\) | −23.7665 | −0.976796 | ||||||||
\(593\) | −16.7534 | + | 29.0177i | −0.687980 | + | 1.19162i | 0.284511 | + | 0.958673i | \(0.408169\pi\) |
−0.972490 | + | 0.232943i | \(0.925164\pi\) | |||||||
\(594\) | 24.7317 | + | 2.14448i | 1.01475 | + | 0.0879891i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −3.74721 | + | 6.49036i | −0.153492 | + | 0.265856i | ||||
\(597\) | −11.3454 | − | 10.0913i | −0.464337 | − | 0.413010i | ||||
\(598\) | 4.99381 | − | 8.64953i | 0.204212 | − | 0.353706i | ||||
\(599\) | −3.12364 | + | 5.41031i | −0.127629 | + | 0.221059i | −0.922757 | − | 0.385381i | \(-0.874070\pi\) |
0.795129 | + | 0.606441i | \(0.207403\pi\) | |||||||
\(600\) | −24.4567 | + | 8.11105i | −0.998439 | + | 0.331132i | ||||
\(601\) | 11.2040 | − | 19.4058i | 0.457019 | − | 0.791580i | −0.541783 | − | 0.840519i | \(-0.682250\pi\) |
0.998802 | + | 0.0489384i | \(0.0155838\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 4.30587 | + | 36.6752i | 0.175349 | + | 1.49353i | ||||
\(604\) | 6.59957 | − | 11.4308i | 0.268533 | − | 0.465112i | ||||
\(605\) | −11.1199 | −0.452089 | ||||||||
\(606\) | 7.62110 | + | 6.77868i | 0.309586 | + | 0.275365i | ||||
\(607\) | −14.9505 | −0.606821 | −0.303411 | − | 0.952860i | \(-0.598125\pi\) | ||||
−0.303411 | + | 0.952860i | \(0.598125\pi\) | |||||||
\(608\) | 2.08836 | + | 3.61715i | 0.0846943 | + | 0.146695i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 11.8207 | − | 20.4741i | 0.478607 | − | 0.828972i | ||||
\(611\) | 1.33310 | − | 2.30900i | 0.0539316 | − | 0.0934123i | ||||
\(612\) | 8.78909 | − | 6.55027i | 0.355278 | − | 0.264779i | ||||
\(613\) | −17.5989 | − | 30.4822i | −0.710812 | − | 1.23116i | −0.964553 | − | 0.263891i | \(-0.914994\pi\) |
0.253740 | − | 0.967272i | \(-0.418339\pi\) | |||||||
\(614\) | −9.72500 | − | 16.8442i | −0.392469 | − | 0.679776i | ||||
\(615\) | −25.1316 | − | 22.3536i | −1.01340 | − | 0.901386i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 1.00619 | + | 1.74277i | 0.0405077 | + | 0.0701614i | 0.885568 | − | 0.464509i | \(-0.153769\pi\) |
−0.845061 | + | 0.534670i | \(0.820436\pi\) | |||||||
\(618\) | −34.9221 | − | 31.0619i | −1.40477 | − | 1.24949i | ||||
\(619\) | −39.3818 | −1.58289 | −0.791444 | − | 0.611242i | \(-0.790670\pi\) | ||||
−0.791444 | + | 0.611242i | \(0.790670\pi\) | |||||||
\(620\) | −11.1421 | − | 19.2987i | −0.447479 | − | 0.775056i | ||||
\(621\) | 17.4945 | − | 25.0259i | 0.702030 | − | 1.00425i | ||||
\(622\) | −20.3324 | −0.815256 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −1.74474 | + | 8.46079i | −0.0698455 | + | 0.338703i | ||||
\(625\) | −2.34479 | −0.0937918 | ||||||||
\(626\) | −11.5098 | + | 19.9356i | −0.460025 | + | 0.796787i | ||||
\(627\) | 0.873885 | − | 4.23774i | 0.0348996 | − | 0.169239i | ||||
\(628\) | 1.28366 | + | 2.22337i | 0.0512237 | + | 0.0887220i | ||||
\(629\) | 19.5906 | 0.781126 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 44.3832 | 1.76687 | 0.883433 | − | 0.468558i | \(-0.155226\pi\) | ||||
0.883433 | + | 0.468558i | \(0.155226\pi\) | |||||||
\(632\) | −6.69227 | − | 11.5913i | −0.266204 | − | 0.461079i | ||||
\(633\) | −13.6280 | − | 12.1216i | −0.541663 | − | 0.481789i | ||||
\(634\) | 25.4629 | − | 44.1030i | 1.01126 | − | 1.75155i | ||||
\(635\) | 35.8392 | 1.42224 | ||||||||
\(636\) | −0.180653 | + | 0.0599137i | −0.00716337 | + | 0.00237573i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 8.11993 | 0.321471 | ||||||||
\(639\) | −6.91892 | + | 5.15649i | −0.273708 | + | 0.203988i | ||||
\(640\) | −22.9251 | − | 39.7075i | −0.906195 | − | 1.56957i | ||||
\(641\) | −14.9862 | −0.591921 | −0.295961 | − | 0.955200i | \(-0.595640\pi\) | ||||
−0.295961 | + | 0.955200i | \(0.595640\pi\) | |||||||
\(642\) | −14.9585 | + | 4.96099i | −0.590366 | + | 0.195795i | ||||
\(643\) | −5.32691 | − | 9.22649i | −0.210073 | − | 0.363857i | 0.741664 | − | 0.670771i | \(-0.234037\pi\) |
−0.951737 | + | 0.306914i | \(0.900703\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −6.54009 | + | 31.7150i | −0.257516 | + | 1.24878i | ||||
\(646\) | −3.10507 | − | 5.37815i | −0.122168 | − | 0.211600i | ||||
\(647\) | 1.06478 | + | 1.84424i | 0.0418606 | + | 0.0725047i | 0.886197 | − | 0.463309i | \(-0.153338\pi\) |
−0.844336 | + | 0.535814i | \(0.820005\pi\) | |||||||
\(648\) | −4.85848 | + | 16.2895i | −0.190859 | + | 0.639913i | ||||
\(649\) | 12.4752 | − | 21.6078i | 0.489696 | − | 0.848178i | ||||
\(650\) | 6.69344 | − | 11.5934i | 0.262538 | − | 0.454730i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 4.58100 | + | 7.93453i | 0.179406 | + | 0.310740i | ||||
\(653\) | 11.1716 | 0.437180 | 0.218590 | − | 0.975817i | \(-0.429854\pi\) | ||||
0.218590 | + | 0.975817i | \(0.429854\pi\) | |||||||
\(654\) | 11.2156 | − | 54.3882i | 0.438567 | − | 2.12675i | ||||
\(655\) | −57.6043 | −2.25079 | ||||||||
\(656\) | 13.4956 | − | 23.3751i | 0.526914 | − | 0.912642i | ||||
\(657\) | −29.3200 | − | 12.6295i | −1.14388 | − | 0.492723i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 5.65452 | − | 9.79391i | 0.220269 | − | 0.381517i | −0.734621 | − | 0.678478i | \(-0.762640\pi\) |
0.954890 | + | 0.296961i | \(0.0959733\pi\) | |||||||
\(660\) | 3.13582 | − | 15.2066i | 0.122062 | − | 0.591914i | ||||
\(661\) | 16.1785 | − | 28.0220i | 0.629271 | − | 1.08993i | −0.358427 | − | 0.933558i | \(-0.616687\pi\) |
0.987698 | − | 0.156372i | \(-0.0499798\pi\) | |||||||
\(662\) | −1.77314 | + | 3.07117i | −0.0689151 | + | 0.119364i | ||||
\(663\) | 1.43818 | − | 6.97418i | 0.0558542 | − | 0.270855i | ||||
\(664\) | 3.88255 | − | 6.72477i | 0.150672 | − | 0.260972i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 19.4814 | − | 14.5190i | 0.754890 | − | 0.562600i | ||||
\(667\) | 4.99381 | − | 8.64953i | 0.193361 | − | 0.334911i | ||||
\(668\) | −10.7999 | −0.417860 | ||||||||
\(669\) | −1.98260 | + | 9.61425i | −0.0766518 | + | 0.371708i | ||||
\(670\) | 75.0714 | 2.90026 | ||||||||
\(671\) | −5.44801 | − | 9.43623i | −0.210318 | − | 0.364282i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 12.0803 | − | 20.9237i | 0.465662 | − | 0.806550i | −0.533569 | − | 0.845756i | \(-0.679150\pi\) |
0.999231 | + | 0.0392063i | \(0.0124830\pi\) | |||||||
\(674\) | 13.7744 | − | 23.8580i | 0.530572 | − | 0.918977i | ||||
\(675\) | 23.4487 | − | 33.5434i | 0.902541 | − | 1.29108i | ||||
\(676\) | 5.33242 | + | 9.23601i | 0.205093 | + | 0.355231i | ||||
\(677\) | 12.5371 | + | 21.7148i | 0.481838 | + | 0.834569i | 0.999783 | − | 0.0208457i | \(-0.00663587\pi\) |
−0.517944 | + | 0.855414i | \(0.673303\pi\) | |||||||
\(678\) | 11.0297 | − | 53.4865i | 0.423593 | − | 2.05414i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 13.9320 | + | 24.1309i | 0.534267 | + | 0.925378i | ||||
\(681\) | 18.2465 | − | 6.05146i | 0.699208 | − | 0.231892i | ||||
\(682\) | −33.3832 | −1.27831 | ||||||||
\(683\) | 23.8392 | + | 41.2907i | 0.912182 | + | 1.57995i | 0.810975 | + | 0.585081i | \(0.198937\pi\) |
0.101207 | + | 0.994865i | \(0.467729\pi\) | |||||||
\(684\) | −2.17625 | − | 0.937411i | −0.0832109 | − | 0.0358428i | ||||
\(685\) | −46.6043 | −1.78066 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −32.2927 | + | 10.7099i | −1.23204 | + | 0.408607i | ||||
\(688\) | −25.9862 | −0.990716 | ||||||||
\(689\) | −0.0618219 | + | 0.107079i | −0.00235523 | + | 0.00407937i | ||||
\(690\) | −46.3825 | − | 41.2555i | −1.76575 | − | 1.57057i | ||||
\(691\) | −12.3400 | − | 21.3735i | −0.469435 | − | 0.813085i | 0.529954 | − | 0.848026i | \(-0.322209\pi\) |
−0.999389 | + | 0.0349408i | \(0.988876\pi\) | |||||||
\(692\) | 5.87402 | 0.223297 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 19.1496 | 0.726910 | ||||||||
\(695\) | 1.99381 | + | 3.45338i | 0.0756295 | + | 0.130994i | ||||
\(696\) | −1.12296 | + | 5.44556i | −0.0425655 | + | 0.206413i | ||||
\(697\) | −11.1243 | + | 19.2679i | −0.421364 | + | 0.729824i | ||||
\(698\) | 0.336134 | 0.0127228 | ||||||||
\(699\) | −3.13533 | + | 15.2042i | −0.118589 | + | 0.575076i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −29.6784 | −1.12094 | −0.560469 | − | 0.828175i | \(-0.689379\pi\) | ||||
−0.560469 | + | 0.828175i | \(0.689379\pi\) | |||||||
\(702\) | −3.73855 | − | 8.00119i | −0.141102 | − | 0.301986i | ||||
\(703\) | −2.11745 | − | 3.66754i | −0.0798613 | − | 0.138324i | ||||
\(704\) | −5.58699 | −0.210567 | ||||||||
\(705\) | −12.3819 | − | 11.0132i | −0.466328 | − | 0.414781i | ||||
\(706\) | −10.6243 | − | 18.4018i | −0.399849 | − | 0.692559i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −10.2095 | − | 9.08094i | −0.383695 | − | 0.341282i | ||||
\(709\) | 14.6291 | + | 25.3383i | 0.549406 | + | 0.951599i | 0.998315 | + | 0.0580220i | \(0.0184794\pi\) |
−0.448909 | + | 0.893577i | \(0.648187\pi\) | |||||||
\(710\) | 8.77128 | + | 15.1923i | 0.329180 | + | 0.570157i | ||||
\(711\) | 19.5252 | + | 8.41040i | 0.732251 | + | 0.315415i | ||||
\(712\) | −9.07481 | + | 15.7180i | −0.340093 | + | 0.589058i | ||||
\(713\) | −20.5309 | + | 35.5605i | −0.768887 | + | 1.33175i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.04325 | − | 8.73517i | −0.188607 | − | 0.326677i | ||||
\(716\) | −3.41535 | −0.127638 | ||||||||
\(717\) | −14.5240 | − | 12.9186i | −0.542408 | − | 0.482452i | ||||
\(718\) | 34.0260 | 1.26984 | ||||||||
\(719\) | 0.537063 | − | 0.930220i | 0.0200291 | − | 0.0346913i | −0.855837 | − | 0.517245i | \(-0.826957\pi\) |
0.875866 | + | 0.482554i | \(0.160291\pi\) | |||||||
\(720\) | 49.3120 | + | 21.2410i | 1.83775 | + | 0.791605i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 15.4752 | − | 26.8039i | 0.575929 | − | 0.997538i | ||||
\(723\) | 11.4854 | − | 3.80912i | 0.427145 | − | 0.141663i | ||||
\(724\) | 8.23972 | − | 14.2716i | 0.306227 | − | 0.530400i | ||||
\(725\) | 6.69344 | − | 11.5934i | 0.248588 | − | 0.430567i | ||||
\(726\) | 6.81639 | + | 6.06293i | 0.252980 | + | 0.225016i | ||||
\(727\) | 12.7163 | − | 22.0253i | 0.471623 | − | 0.816875i | −0.527850 | − | 0.849338i | \(-0.677002\pi\) |
0.999473 | + | 0.0324628i | \(0.0103350\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −9.27375 | − | 25.3574i | −0.343472 | − | 0.939163i | ||||
\(730\) | −32.4505 | + | 56.2059i | −1.20105 | + | 2.08027i | ||||
\(731\) | 21.4203 | 0.792258 | ||||||||
\(732\) | −5.66366 | + | 1.87835i | −0.209335 | + | 0.0694259i | ||||
\(733\) | 11.3955 | 0.420904 | 0.210452 | − | 0.977604i | \(-0.432506\pi\) | ||||
0.210452 | + | 0.977604i | \(0.432506\pi\) | |||||||
\(734\) | 25.5562 | + | 44.2647i | 0.943298 | + | 1.63384i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 13.8083 | − | 23.9168i | 0.508982 | − | 0.881583i | ||||
\(737\) | 17.2997 | − | 29.9639i | 0.637242 | − | 1.10374i | ||||
\(738\) | 3.21751 | + | 27.4051i | 0.118438 | + | 1.00879i | ||||
\(739\) | 14.9697 | + | 25.9283i | 0.550671 | + | 0.953790i | 0.998226 | + | 0.0595336i | \(0.0189613\pi\) |
−0.447556 | + | 0.894256i | \(0.647705\pi\) | |||||||
\(740\) | −7.59820 | − | 13.1605i | −0.279315 | − | 0.483788i | ||||
\(741\) | −1.46108 | + | 0.484566i | −0.0536740 | + | 0.0178010i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 9.50069 | + | 16.4557i | 0.348546 | + | 0.603700i | 0.985991 | − | 0.166796i | \(-0.0533420\pi\) |
−0.637445 | + | 0.770496i | \(0.720009\pi\) | |||||||
\(744\) | 4.61677 | − | 22.3881i | 0.169259 | − | 0.820789i | ||||
\(745\) | 30.2595 | 1.10862 | ||||||||
\(746\) | −5.95922 | − | 10.3217i | −0.218183 | − | 0.377903i | ||||
\(747\) | 1.43818 | + | 12.2497i | 0.0526202 | + | 0.448191i | ||||
\(748\) | −10.2705 | −0.375527 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −22.7033 | − | 20.1937i | −0.829006 | − | 0.737370i | ||||
\(751\) | 0.0261368 | 0.000953747 | 0.000476873 | − | 1.00000i | \(-0.499848\pi\) | ||||
0.000476873 | 1.00000i | \(0.499848\pi\) | ||||||||
\(752\) | 6.64902 | − | 11.5164i | 0.242465 | − | 0.419961i | ||||
\(753\) | −7.59593 | + | 2.51919i | −0.276811 | + | 0.0918044i | ||||
\(754\) | −1.44437 | − | 2.50172i | −0.0526008 | − | 0.0911072i | ||||
\(755\) | −53.2929 | −1.93953 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −13.6910 | −0.497607 | −0.248803 | − | 0.968554i | \(-0.580037\pi\) | ||||
−0.248803 | + | 0.968554i | \(0.580037\pi\) | |||||||
\(758\) | 16.2095 | + | 28.0756i | 0.588754 | + | 1.01975i | ||||
\(759\) | −27.1552 | + | 9.00602i | −0.985672 | + | 0.326898i | ||||
\(760\) | 3.01169 | − | 5.21640i | 0.109246 | − | 0.189219i | ||||
\(761\) | 14.6428 | 0.530802 | 0.265401 | − | 0.964138i | \(-0.414496\pi\) | ||||
0.265401 | + | 0.964138i | \(0.414496\pi\) | |||||||
\(762\) | −21.9691 | − | 19.5407i | −0.795855 | − | 0.707883i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 4.11855 | 0.149004 | ||||||||
\(765\) | −40.6476 | − | 17.5088i | −1.46962 | − | 0.633032i | ||||
\(766\) | 2.72803 | + | 4.72509i | 0.0985677 | + | 0.170724i | ||||
\(767\) | −8.87636 | −0.320507 | ||||||||
\(768\) | −6.20630 | + | 30.0963i | −0.223951 | + | 1.08601i | ||||
\(769\) | 24.5672 | + | 42.5517i | 0.885918 | + | 1.53445i | 0.844658 | + | 0.535306i | \(0.179804\pi\) |
0.0412592 | + | 0.999148i | \(0.486863\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 2.34108 | − | 0.776418i | 0.0843118 | − | 0.0279620i | ||||
\(772\) | 11.2410 | + | 19.4700i | 0.404573 | + | 0.700741i | ||||
\(773\) | 6.22067 | + | 10.7745i | 0.223742 | + | 0.387532i | 0.955941 | − | 0.293558i | \(-0.0948394\pi\) |
−0.732199 | + | 0.681090i | \(0.761506\pi\) | |||||||
\(774\) | 21.3010 | − | 15.8751i | 0.765648 | − | 0.570617i | ||||
\(775\) | −27.5185 | + | 47.6634i | −0.988493 | + | 1.71212i | ||||
\(776\) | −6.91411 | + | 11.9756i | −0.248202 | + | 0.429898i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −4.36467 | − | 7.55982i | −0.156481 | − | 0.271033i | ||||
\(779\) | 4.80951 | 0.172319 | ||||||||
\(780\) | −5.24288 | + | 1.73880i | −0.187725 | + | 0.0622590i | ||||
\(781\) | 8.08513 | 0.289309 | ||||||||
\(782\) | −20.5309 | + | 35.5605i | −0.734183 | + | 1.27164i | ||||
\(783\) | −3.73855 | − | 8.00119i | −0.133605 | − | 0.285939i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 5.18292 | − | 8.97708i | 0.184986 | − | 0.320406i | ||||
\(786\) | 35.3108 | + | 31.4077i | 1.25950 | + | 1.12027i | ||||
\(787\) | −16.4567 | + | 28.5038i | −0.586617 | + | 1.01605i | 0.408055 | + | 0.912957i | \(0.366207\pi\) |
−0.994672 | + | 0.103093i | \(0.967126\pi\) | |||||||
\(788\) | −4.76392 | + | 8.25135i | −0.169708 | + | 0.293942i | ||||
\(789\) | 26.7367 | − | 8.86722i | 0.951851 | − | 0.315681i | ||||
\(790\) | 21.6099 | − | 37.4294i | 0.768845 | − | 1.33168i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 12.7706 | − | 9.51759i | 0.453783 | − | 0.338193i | ||||
\(793\) | −1.93818 | + | 3.35702i | −0.0688267 | + | 0.119211i | ||||
\(794\) | −38.9862 | −1.38357 | ||||||||
\(795\) | 0.574202 | + | 0.510731i | 0.0203648 | + | 0.0181138i | ||||
\(796\) | 7.79108 | 0.276147 | ||||||||
\(797\) | 13.1989 | + | 22.8612i | 0.467530 | + | 0.809786i | 0.999312 | − | 0.0370953i | \(-0.0118105\pi\) |
−0.531781 | + | 0.846882i | \(0.678477\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.48074 | + | 9.49292i | −0.193895 | + | 0.335835i | ||||
\(800\) | 18.5080 | − | 32.0567i | 0.654356 | − | 1.13338i | ||||
\(801\) | −3.36151 | − | 28.6316i | −0.118773 | − | 1.01165i | ||||
\(802\) | 15.4752 | + | 26.8039i | 0.546450 | + | 0.946479i | ||||
\(803\) | 14.9560 | + | 25.9045i | 0.527785 | + | 0.914151i | ||||
\(804\) | −14.1577 | − | 12.5927i | −0.499303 | − | 0.444111i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 5.93818 | + | 10.2852i | 0.209163 | + | 0.362282i | ||||
\(807\) | −24.1414 | − | 21.4729i | −0.849819 | − | 0.755883i | ||||
\(808\) | 6.54394 | 0.230215 | ||||||||
\(809\) | −17.7960 | − | 30.8235i | −0.625673 | − | 1.08370i | −0.988410 | − | 0.151806i | \(-0.951491\pi\) |
0.362738 | − | 0.931891i | \(-0.381842\pi\) | |||||||
\(810\) | −53.3973 | + | 12.7135i | −1.87619 | + | 0.446708i | ||||
\(811\) | 37.8268 | 1.32828 | 0.664140 | − | 0.747608i | \(-0.268798\pi\) | ||||
0.664140 | + | 0.747608i | \(0.268798\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 1.38626 | − | 6.72243i | 0.0486184 | − | 0.235766i | ||||
\(814\) | −22.7651 | −0.797916 | ||||||||
\(815\) | 18.4963 | − | 32.0365i | 0.647896 | − | 1.12219i | ||||
\(816\) | 7.17309 | − | 34.7845i | 0.251108 | − | 1.21770i | ||||
\(817\) | −2.31522 | − | 4.01008i | −0.0809994 | − | 0.140295i | ||||
\(818\) | 26.0594 | 0.911146 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 17.2583 | 0.602686 | ||||||||
\(821\) | 9.15638 | + | 15.8593i | 0.319560 | + | 0.553494i | 0.980396 | − | 0.197036i | \(-0.0631317\pi\) |
−0.660836 | + | 0.750530i | \(0.729798\pi\) | |||||||
\(822\) | 28.5679 | + | 25.4101i | 0.996421 | + | 0.886280i | ||||
\(823\) | 18.0000 | − | 31.1769i | 0.627441 | − | 1.08676i | −0.360623 | − | 0.932712i | \(-0.617436\pi\) |
0.988063 | − | 0.154047i | \(-0.0492308\pi\) | |||||||
\(824\) | −29.9862 | −1.04462 | ||||||||
\(825\) | −36.3974 | + | 12.0712i | −1.26719 | + | 0.420265i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −28.2115 | −0.981011 | −0.490505 | − | 0.871438i | \(-0.663188\pi\) | ||||
−0.490505 | + | 0.871438i | \(0.663188\pi\) | |||||||
\(828\) | 1.82691 | + | 15.5607i | 0.0634896 | + | 0.540772i | ||||
\(829\) | −5.64214 | − | 9.77247i | −0.195960 | − | 0.339412i | 0.751255 | − | 0.660012i | \(-0.229449\pi\) |
−0.947215 | + | 0.320600i | \(0.896115\pi\) | |||||||
\(830\) | 25.0741 | 0.870336 | ||||||||
\(831\) | −3.83675 | + | 1.27246i | −0.133095 | + | 0.0441410i | ||||
\(832\) | 0.993810 | + | 1.72133i | 0.0344542 | + | 0.0596764i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0.660706 | − | 3.20397i | 0.0228784 | − | 0.110944i | ||||
\(835\) | 21.8028 | + | 37.7636i | 0.754519 | + | 1.30686i | ||||
\(836\) | 1.11009 | + | 1.92274i | 0.0383934 | + | 0.0664993i | ||||
\(837\) | 15.3702 | + | 32.8950i | 0.531271 | + | 1.13702i | ||||
\(838\) | 8.98143 | − | 15.5563i | 0.310258 | − | 0.537383i | ||||
\(839\) | −1.02152 | + | 1.76933i | −0.0352669 | + | 0.0610840i | −0.883120 | − | 0.469147i | \(-0.844561\pi\) |
0.847853 | + | 0.530231i | \(0.177895\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 13.0556 | + | 22.6130i | 0.450194 | + | 0.779759i | ||||
\(842\) | −61.4783 | −2.11868 | ||||||||
\(843\) | −9.79301 | + | 47.4894i | −0.337289 | + | 1.63562i | ||||
\(844\) | 9.35855 | 0.322135 | ||||||||
\(845\) | 21.5302 | − | 37.2914i | 0.740661 | − | 1.28286i | ||||
\(846\) | 1.58520 | + | 13.5019i | 0.0545004 | + | 0.464206i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −0.308344 | + | 0.534068i | −0.0105886 | + | 0.0183400i | ||||
\(849\) | 3.61009 | − | 17.5065i | 0.123898 | − | 0.600821i | ||||
\(850\) | −27.5185 | + | 47.6634i | −0.943877 | + | 1.63484i | ||||
\(851\) | −14.0007 | + | 24.2499i | −0.479937 | + | 0.831276i | ||||
\(852\) | 0.894237 | − | 4.33643i | 0.0306361 | − | 0.148564i | ||||
\(853\) | −24.2960 | + | 42.0818i | −0.831878 | + | 1.44085i | 0.0646692 | + | 0.997907i | \(0.479401\pi\) |
−0.896547 | + | 0.442948i | \(0.853933\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 1.11559 | + | 9.50206i | 0.0381525 | + | 0.324964i | ||||
\(856\) | −5.05563 | + | 8.75661i | −0.172798 | + | 0.299295i | ||||
\(857\) | 44.8974 | 1.53367 | 0.766833 | − | 0.641847i | \(-0.221831\pi\) | ||||
0.766833 | + | 0.641847i | \(0.221831\pi\) | |||||||
\(858\) | −1.67123 | + | 8.10430i | −0.0570547 | + | 0.276676i | ||||
\(859\) | −29.8131 | −1.01721 | −0.508605 | − | 0.861000i | \(-0.669838\pi\) | ||||
−0.508605 | + | 0.861000i | \(0.669838\pi\) | |||||||
\(860\) | −8.30786 | − | 14.3896i | −0.283296 | − | 0.490683i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −29.8275 | + | 51.6628i | −1.01593 | + | 1.75964i | ||||
\(863\) | 21.1298 | − | 36.5978i | 0.719265 | − | 1.24580i | −0.242026 | − | 0.970270i | \(-0.577812\pi\) |
0.961291 | − | 0.275534i | \(-0.0888548\pi\) | |||||||
\(864\) | −10.3374 | − | 22.1240i | −0.351687 | − | 0.752675i | ||||
\(865\) | −11.8585 | − | 20.5395i | −0.403200 | − | 0.698363i | ||||
\(866\) | −34.9894 | − | 60.6034i | −1.18899 | − | 2.05939i | ||||
\(867\) | 0.0341093 | − | 0.165407i | 0.00115841 | − | 0.00561751i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −9.95970 | − | 17.2507i | −0.337860 | − | 0.585190i | ||||
\(870\) | −17.0414 | + | 5.65178i | −0.577757 | + | 0.191613i | ||||
\(871\) | −12.3090 | −0.417076 | ||||||||
\(872\) | −17.8145 | − | 30.8557i | −0.603276 | − | 1.04491i | ||||
\(873\) | −2.56113 | − | 21.8144i | −0.0866812 | − | 0.738306i | ||||
\(874\) | 8.87636 | 0.300247 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 15.5480 | − | 5.15649i | 0.525318 | − | 0.174222i | ||||
\(877\) | −30.5316 | −1.03098 | −0.515489 | − | 0.856896i | \(-0.672390\pi\) | ||||
−0.515489 | + | 0.856896i | \(0.672390\pi\) | |||||||
\(878\) | −3.97593 | + | 6.88651i | −0.134181 | + | 0.232409i | ||||
\(879\) | −39.7261 | − | 35.3349i | −1.33993 | − | 1.19182i | ||||
\(880\) | −25.1538 | − | 43.5677i | −0.847935 | − | 1.46867i | ||||
\(881\) | 13.4079 | 0.451724 | 0.225862 | − | 0.974159i | \(-0.427480\pi\) | ||||
0.225862 | + | 0.974159i | \(0.427480\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −14.1250 | −0.475345 | −0.237672 | − | 0.971345i | \(-0.576384\pi\) | ||||
−0.237672 | + | 0.971345i | \(0.576384\pi\) | |||||||
\(884\) | 1.82691 | + | 3.16431i | 0.0614458 | + | 0.106427i | ||||
\(885\) | −11.1421 | + | 54.0317i | −0.374539 | + | 1.81626i | ||||
\(886\) | −25.6414 | + | 44.4123i | −0.861441 | + | 1.49206i | ||||
\(887\) | 39.9432 | 1.34116 | 0.670581 | − | 0.741837i | \(-0.266045\pi\) | ||||
0.670581 | + | 0.741837i | \(0.266045\pi\) | |||||||
\(888\) | 3.14833 | − | 15.2672i | 0.105651 | − | 0.512334i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −58.6067 | −1.96450 | ||||||||
\(891\) | −7.23058 | + | 24.2427i | −0.242233 | + | 0.812161i | ||||
\(892\) | −2.51849 | − | 4.36216i | −0.0843254 | − | 0.146056i | ||||
\(893\) | 2.36955 | 0.0792941 | ||||||||
\(894\) | −18.5488 | − | 16.4984i | −0.620363 | − | 0.551790i | ||||
\(895\) | 6.89493 | + | 11.9424i | 0.230472 | + | 0.399189i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 7.60507 | + | 6.76443i | 0.253926 | + | 0.225858i | ||||
\(898\) | −0.283662 | − | 0.491316i | −0.00946591 | − | 0.0163954i | ||||
\(899\) | 5.93818 | + | 10.2852i | 0.198049 | + | 0.343031i | ||||
\(900\) | 2.44870 | + | 20.8567i | 0.0816233 | + | 0.695225i | ||||
\(901\) | 0.254166 | − | 0.440229i | 0.00846751 | − | 0.0146662i | ||||
\(902\) | 12.9270 | − | 22.3902i | 0.430421 | − | 0.745511i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −17.5192 | − | 30.3441i | −0.582679 | − | 1.00923i | ||||
\(905\) | −66.5375 | −2.21178 | ||||||||
\(906\) | 32.6680 | + | 29.0570i | 1.08532 | + | 0.965353i | ||||
\(907\) | 41.4203 | 1.37534 | 0.687669 | − | 0.726024i | \(-0.258634\pi\) | ||||
0.687669 | + | 0.726024i | \(0.258634\pi\) | |||||||
\(908\) | −4.93199 | + | 8.54245i | −0.163674 | + | 0.283491i | ||||
\(909\) | −8.33420 | + | 6.21126i | −0.276428 | + | 0.206014i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −0.894237 | + | 1.54886i | −0.0296274 | + | 0.0513162i | −0.880459 | − | 0.474122i | \(-0.842765\pi\) |
0.850832 | + | 0.525439i | \(0.176099\pi\) | |||||||
\(912\) | −7.28730 | + | 2.41683i | −0.241307 | + | 0.0800293i | ||||
\(913\) | 5.77816 | − | 10.0081i | 0.191229 | − | 0.331219i | ||||
\(914\) | 16.4091 | − | 28.4214i | 0.542764 | − | 0.940096i | ||||
\(915\) | 18.0018 | + | 16.0119i | 0.595121 | + | 0.529338i | ||||
\(916\) | 8.72864 | − | 15.1185i | 0.288402 | − | 0.499528i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 15.3702 | + | 32.8950i | 0.507291 | + | 1.08570i | ||||
\(919\) | 28.7341 | − | 49.7690i | 0.947852 | − | 1.64173i | 0.197914 | − | 0.980219i | \(-0.436583\pi\) |
0.749938 | − | 0.661508i | \(-0.230083\pi\) | |||||||
\(920\) | −39.8268 | −1.31305 | ||||||||
\(921\) | 18.8134 | − | 6.23945i | 0.619921 | − | 0.205597i | ||||
\(922\) | −66.4683 | −2.18902 | ||||||||
\(923\) | −1.43818 | − | 2.49100i | −0.0473382 | − | 0.0819922i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −18.7658 | + | 32.5033i | −0.617015 | + | 1.06870i | ||||
\(926\) | −18.5908 | + | 32.2003i | −0.610933 | + | 1.05817i | ||||
\(927\) | 38.1897 | − | 28.4618i | 1.25431 | − | 0.934808i | ||||
\(928\) | −3.99381 | − | 6.91748i | −0.131103 | − | 0.227077i | ||||
\(929\) | 17.3676 | + | 30.0816i | 0.569813 | + | 0.986945i | 0.996584 | + | 0.0825854i | \(0.0263177\pi\) |
−0.426771 | + | 0.904360i | \(0.640349\pi\) | |||||||
\(930\) | 70.0617 | − | 23.2359i | 2.29741 | − | 0.761937i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −3.98281 | − | 6.89843i | −0.130461 | − | 0.225965i | ||||
\(933\) | 4.18478 | − | 20.2933i | 0.137003 | − | 0.664373i | ||||
\(934\) | 20.9395 | 0.685161 | ||||||||
\(935\) | 20.7341 | + | 35.9126i | 0.678079 | + | 1.17447i | ||||
\(936\) | −5.20396 | − | 2.24159i | −0.170097 | − | 0.0732686i | ||||
\(937\) | −11.6662 | −0.381118 | −0.190559 | − | 0.981676i | \(-0.561030\pi\) | ||||
−0.190559 | + | 0.981676i | \(0.561030\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −17.5283 | − | 15.5908i | −0.572015 | − | 0.508786i | ||||
\(940\) | 8.50282 | 0.277332 | ||||||||
\(941\) | −25.1687 | + | 43.5934i | −0.820475 | + | 1.42111i | 0.0848531 | + | 0.996393i | \(0.472958\pi\) |
−0.905329 | + | 0.424712i | \(0.860375\pi\) | |||||||
\(942\) | −8.07165 | + | 2.67696i | −0.262989 | + | 0.0872202i | ||||
\(943\) | −15.9004 | − | 27.5402i | −0.517787 | − | 0.896833i | ||||
\(944\) | −44.2719 | −1.44093 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −24.8913 | −0.809287 | ||||||||
\(947\) | 16.1941 | + | 28.0491i | 0.526238 | + | 0.911472i | 0.999533 | + | 0.0305673i | \(0.00973139\pi\) |
−0.473294 | + | 0.880904i | \(0.656935\pi\) | |||||||
\(948\) | −10.3539 | + | 3.43388i | −0.336280 | + | 0.111527i | ||||
\(949\) | 5.32072 | − | 9.21576i | 0.172718 | − | 0.299156i | ||||
\(950\) | 11.8974 | 0.386003 | ||||||||
\(951\) | 38.7774 | + | 34.4911i | 1.25744 | + | 1.11845i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −12.5367 | −0.406102 | −0.203051 | − | 0.979168i | \(-0.565086\pi\) | ||||
−0.203051 | + | 0.979168i | \(0.565086\pi\) | |||||||
\(954\) | −0.0735129 | − | 0.626145i | −0.00238007 | − | 0.0202722i | ||||
\(955\) | −8.31453 | − | 14.4012i | −0.269052 | − | 0.466012i | ||||
\(956\) | 9.97386 | 0.322578 | ||||||||
\(957\) | −1.67123 | + | 8.10430i | −0.0540231 | + | 0.261975i | ||||
\(958\) | 11.4635 | + | 19.8555i | 0.370370 | + | 0.641500i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 11.7255 | − | 3.88875i | 0.378438 | − | 0.125509i | ||||
\(961\) | −8.91342 | − | 15.4385i | −0.287530 | − | 0.498016i | ||||
\(962\) | 4.04944 | + | 7.01384i | 0.130559 | + | 0.226135i | ||||
\(963\) | −1.87271 | − | 15.9508i | −0.0603474 | − | 0.514008i | ||||
\(964\) | −3.10446 | + | 5.37709i | −0.0999880 | + | 0.173184i | ||||
\(965\) | 45.3868 | − | 78.6122i | 1.46105 | − | 2.53062i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 28.9937 | + | 50.2186i | 0.932376 | + | 1.61492i | 0.779248 | + | 0.626715i | \(0.215601\pi\) |
0.153127 | + | 0.988206i | \(0.451065\pi\) | |||||||
\(968\) | 5.85297 | 0.188122 | ||||||||
\(969\) | 6.00688 | − | 1.99218i | 0.192969 | − | 0.0639981i | ||||
\(970\) | −44.6525 | −1.43370 | ||||||||
\(971\) | 14.0185 | − | 24.2807i | 0.449875 | − | 0.779206i | −0.548503 | − | 0.836149i | \(-0.684802\pi\) |
0.998377 | + | 0.0569428i | \(0.0181353\pi\) | |||||||
\(972\) | 12.2028 | + | 6.55941i | 0.391405 | + | 0.210393i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −6.41095 | + | 11.1041i | −0.205420 | + | 0.355798i | ||||
\(975\) | 10.1934 | + | 9.06668i | 0.326451 | + | 0.290366i | ||||
\(976\) | −9.66690 | + | 16.7436i | −0.309430 | + | 0.535948i | ||||
\(977\) | −4.92030 | + | 8.52220i | −0.157414 | + | 0.272649i | −0.933935 | − | 0.357442i | \(-0.883649\pi\) |
0.776521 | + | 0.630091i | \(0.216982\pi\) | |||||||
\(978\) | −28.8053 | + | 9.55328i | −0.921092 | + | 0.305480i | ||||
\(979\) | −13.5055 | + | 23.3922i | −0.431638 | + | 0.747618i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 51.9752 | + | 22.3881i | 1.65944 | + | 0.714798i | ||||
\(982\) | 13.7156 | − | 23.7562i | 0.437684 | − | 0.758091i | ||||
\(983\) | 48.6894 | 1.55295 | 0.776476 | − | 0.630147i | \(-0.217005\pi\) | ||||
0.776476 | + | 0.630147i | \(0.217005\pi\) | |||||||
\(984\) | 13.2280 | + | 11.7658i | 0.421694 | + | 0.375081i | ||||
\(985\) | 38.4697 | 1.22575 | ||||||||
\(986\) | 5.93818 | + | 10.2852i | 0.189110 | + | 0.327548i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.394926 | − | 0.684031i | 0.0125643 | − | 0.0217619i | ||||
\(989\) | −15.3083 | + | 26.5148i | −0.486777 | + | 0.843123i | ||||
\(990\) | 47.2343 | + | 20.3460i | 1.50120 | + | 0.646639i | ||||
\(991\) | −1.43199 | − | 2.48028i | −0.0454886 | − | 0.0787886i | 0.842385 | − | 0.538877i | \(-0.181151\pi\) |
−0.887873 | + | 0.460088i | \(0.847818\pi\) | |||||||
\(992\) | 16.4196 | + | 28.4396i | 0.521323 | + | 0.902958i | ||||
\(993\) | −2.70032 | − | 2.40183i | −0.0856920 | − | 0.0762198i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −15.7286 | − | 27.2428i | −0.498631 | − | 0.863655i | ||||
\(996\) | −4.72872 | − | 4.20602i | −0.149835 | − | 0.133273i | ||||
\(997\) | 50.8406 | 1.61014 | 0.805069 | − | 0.593181i | \(-0.202128\pi\) | ||||
0.805069 | + | 0.593181i | \(0.202128\pi\) | |||||||
\(998\) | 26.2298 | + | 45.4314i | 0.830290 | + | 1.43810i | ||||
\(999\) | 10.4814 | + | 22.4322i | 0.331618 | + | 0.709724i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))