Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(214,441)]
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([4, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.214");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.h (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: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 373.3 | ||
Root | \(0.500000 + 0.224437i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.373 |
Dual form | 441.2.h.c.214.3 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.69963 | 1.20182 | 0.600909 | − | 0.799317i | \(-0.294805\pi\) | ||||
0.600909 | + | 0.799317i | \(0.294805\pi\) | |||||||
\(3\) | 1.29418 | − | 1.15113i | 0.747196 | − | 0.664603i | ||||
\(4\) | 0.888736 | 0.444368 | ||||||||
\(5\) | 1.79418 | + | 3.10761i | 0.802383 | + | 1.38977i | 0.918044 | + | 0.396479i | \(0.129768\pi\) |
−0.115661 | + | 0.993289i | \(0.536899\pi\) | |||||||
\(6\) | 2.19963 | − | 1.95649i | 0.897994 | − | 0.798733i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −1.88874 | −0.667769 | ||||||||
\(9\) | 0.349814 | − | 2.97954i | 0.116605 | − | 0.993178i | ||||
\(10\) | 3.04944 | + | 5.28179i | 0.964318 | + | 1.67025i | ||||
\(11\) | 1.40545 | − | 2.43430i | 0.423758 | − | 0.733970i | −0.572546 | − | 0.819873i | \(-0.694044\pi\) |
0.996304 | + | 0.0859026i | \(0.0273774\pi\) | |||||||
\(12\) | 1.15019 | − | 1.02305i | 0.332030 | − | 0.295328i | ||||
\(13\) | −0.500000 | + | 0.866025i | −0.138675 | + | 0.240192i | −0.926995 | − | 0.375073i | \(-0.877618\pi\) |
0.788320 | + | 0.615265i | \(0.210951\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 5.89926 | + | 1.95649i | 1.52318 | + | 0.505163i | ||||
\(16\) | −4.98762 | −1.24691 | ||||||||
\(17\) | 2.05563 | + | 3.56046i | 0.498564 | + | 0.863538i | 0.999999 | − | 0.00165734i | \(-0.000527549\pi\) |
−0.501435 | + | 0.865196i | \(0.667194\pi\) | |||||||
\(18\) | 0.594554 | − | 5.06410i | 0.140138 | − | 1.19362i | ||||
\(19\) | 0.444368 | − | 0.769668i | 0.101945 | − | 0.176574i | −0.810541 | − | 0.585682i | \(-0.800827\pi\) |
0.912486 | + | 0.409108i | \(0.134160\pi\) | |||||||
\(20\) | 1.59455 | + | 2.76185i | 0.356553 | + | 0.617568i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.38874 | − | 4.13741i | 0.509280 | − | 0.882099i | ||||
\(23\) | −2.93818 | − | 5.08907i | −0.612652 | − | 1.06115i | −0.990792 | − | 0.135396i | \(-0.956769\pi\) |
0.378139 | − | 0.925749i | \(-0.376564\pi\) | |||||||
\(24\) | −2.44437 | + | 2.17417i | −0.498955 | + | 0.443802i | ||||
\(25\) | −3.93818 | + | 6.82112i | −0.787636 | + | 1.36422i | ||||
\(26\) | −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 | 0.934077 | − | 0.357071i | \(-0.116224\pi\) |
−0.776271 | + | 0.630399i | \(0.782891\pi\) | |||||||
\(30\) | 10.0265 | + | 3.32530i | 1.83059 | + | 0.607114i | ||||
\(31\) | −6.98762 | −1.25501 | −0.627507 | − | 0.778611i | \(-0.715925\pi\) | ||||
−0.627507 | + | 0.778611i | \(0.715925\pi\) | |||||||
\(32\) | −4.69963 | −0.830785 | ||||||||
\(33\) | −0.983290 | − | 4.76828i | −0.171169 | − | 0.830051i | ||||
\(34\) | 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 | \(0.294775\pi\) | |||||||
\(38\) | 0.755260 | − | 1.30815i | 0.122519 | − | 0.212210i | ||||
\(39\) | 0.349814 | + | 1.69636i | 0.0560151 | + | 0.271635i | ||||
\(40\) | −3.38874 | − | 5.86946i | −0.535806 | − | 0.928044i | ||||
\(41\) | 2.70582 | − | 4.68661i | 0.422578 | − | 0.731926i | −0.573613 | − | 0.819126i | \(-0.694459\pi\) |
0.996191 | + | 0.0872002i | \(0.0277920\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.60507 | − | 4.51212i | −0.397270 | − | 0.688092i | 0.596118 | − | 0.802897i | \(-0.296709\pi\) |
−0.993388 | + | 0.114805i | \(0.963376\pi\) | |||||||
\(44\) | 1.24907 | − | 2.16345i | 0.188304 | − | 0.326153i | ||||
\(45\) | 9.88688 | − | 4.25874i | 1.47385 | − | 0.634856i | ||||
\(46\) | −4.99381 | − | 8.64953i | −0.736297 | − | 1.27530i | ||||
\(47\) | −2.66621 | −0.388906 | −0.194453 | − | 0.980912i | \(-0.562293\pi\) | ||||
−0.194453 | + | 0.980912i | \(0.562293\pi\) | |||||||
\(48\) | −6.45489 | + | 5.74138i | −0.931683 | + | 0.828697i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −6.69344 | + | 11.5934i | −0.946595 | + | 1.63955i | ||||
\(51\) | 6.75890 | + | 2.24159i | 0.946436 | + | 0.313885i | ||||
\(52\) | −0.444368 | + | 0.769668i | −0.0616227 | + | 0.106734i | ||||
\(53\) | 0.0618219 | + | 0.107079i | 0.00849190 | + | 0.0147084i | 0.870240 | − | 0.492628i | \(-0.163964\pi\) |
−0.861748 | + | 0.507336i | \(0.830630\pi\) | |||||||
\(54\) | −5.05996 | − | 7.23828i | −0.688574 | − | 0.985005i | ||||
\(55\) | 10.0865 | 1.36006 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.310892 | − | 1.50761i | −0.0411787 | − | 0.199688i | ||||
\(58\) | 1.44437 | + | 2.50172i | 0.189655 | + | 0.328492i | ||||
\(59\) | −8.87636 | −1.15560 | −0.577802 | − | 0.816177i | \(-0.696089\pi\) | ||||
−0.577802 | + | 0.816177i | \(0.696089\pi\) | |||||||
\(60\) | 5.24288 | + | 1.73880i | 0.676853 | + | 0.224478i | ||||
\(61\) | 3.87636 | 0.496317 | 0.248158 | − | 0.968720i | \(-0.420175\pi\) | ||||
0.248158 | + | 0.968720i | \(0.420175\pi\) | |||||||
\(62\) | −11.8764 | −1.50830 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.98762 | 0.248453 | ||||||||
\(65\) | −3.58836 | −0.445082 | ||||||||
\(66\) | −1.67123 | − | 8.10430i | −0.205714 | − | 0.997571i | ||||
\(67\) | 12.3090 | 1.50379 | 0.751894 | − | 0.659284i | \(-0.229141\pi\) | ||||
0.751894 | + | 0.659284i | \(0.229141\pi\) | |||||||
\(68\) | 1.82691 | + | 3.16431i | 0.221546 | + | 0.383729i | ||||
\(69\) | −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 | \(0.554597\pi\) | |||||||
\(72\) | −0.660706 | + | 5.62755i | −0.0778650 | + | 0.663214i | ||||
\(73\) | 5.32072 | + | 9.21576i | 0.622744 | + | 1.07862i | 0.988973 | + | 0.148099i | \(0.0473154\pi\) |
−0.366229 | + | 0.930525i | \(0.619351\pi\) | |||||||
\(74\) | −4.04944 | + | 7.01384i | −0.470738 | + | 0.815342i | ||||
\(75\) | 2.75526 | + | 13.3611i | 0.318150 | + | 1.54281i | ||||
\(76\) | 0.394926 | − | 0.684031i | 0.0453011 | − | 0.0784638i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0.594554 | + | 2.88318i | 0.0673200 | + | 0.326456i | ||||
\(79\) | −7.08650 | −0.797294 | −0.398647 | − | 0.917104i | \(-0.630520\pi\) | ||||
−0.398647 | + | 0.917104i | \(0.630520\pi\) | |||||||
\(80\) | −8.94870 | − | 15.4996i | −1.00049 | − | 1.73291i | ||||
\(81\) | −8.75526 | − | 2.08457i | −0.972807 | − | 0.231619i | ||||
\(82\) | 4.59888 | − | 7.96550i | 0.507862 | − | 0.879642i | ||||
\(83\) | 2.05563 | + | 3.56046i | 0.225635 | + | 0.390811i | 0.956510 | − | 0.291700i | \(-0.0942210\pi\) |
−0.730875 | + | 0.682512i | \(0.760888\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −7.37636 | + | 12.7762i | −0.800078 | + | 1.38578i | ||||
\(86\) | −4.42766 | − | 7.66893i | −0.477447 | − | 0.826962i | ||||
\(87\) | 2.79418 | + | 0.926690i | 0.299568 | + | 0.0993516i | ||||
\(88\) | −2.65452 | + | 4.59776i | −0.282972 | + | 0.490123i | ||||
\(89\) | −4.80470 | + | 8.32199i | −0.509297 | + | 0.882129i | 0.490645 | + | 0.871360i | \(0.336761\pi\) |
−0.999942 | + | 0.0107692i | \(0.996572\pi\) | |||||||
\(90\) | 16.8040 | − | 7.23828i | 1.77130 | − | 0.762981i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −2.61126 | − | 4.52284i | −0.272243 | − | 0.471539i | ||||
\(93\) | −9.04325 | + | 8.04364i | −0.937742 | + | 0.834086i | ||||
\(94\) | −4.53156 | −0.467395 | ||||||||
\(95\) | 3.18911 | 0.327196 | ||||||||
\(96\) | −6.08217 | + | 5.40987i | −0.620759 | + | 0.552142i | ||||
\(97\) | −3.66071 | − | 6.34053i | −0.371688 | − | 0.643783i | 0.618137 | − | 0.786070i | \(-0.287888\pi\) |
−0.989825 | + | 0.142287i | \(0.954554\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −6.76145 | − | 5.03913i | −0.679551 | − | 0.506452i | ||||
\(100\) | −3.50000 | + | 6.06218i | −0.350000 | + | 0.606218i | ||||
\(101\) | −1.73236 | + | 3.00054i | −0.172376 | + | 0.298564i | −0.939250 | − | 0.343233i | \(-0.888478\pi\) |
0.766874 | + | 0.641798i | \(0.221811\pi\) | |||||||
\(102\) | 11.4876 | + | 3.80987i | 1.13744 | + | 0.377233i | ||||
\(103\) | 7.93818 | + | 13.7493i | 0.782172 | + | 1.35476i | 0.930674 | + | 0.365849i | \(0.119221\pi\) |
−0.148502 | + | 0.988912i | \(0.547445\pi\) | |||||||
\(104\) | 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 | \(0.0833498\pi\) | |||||||
\(108\) | −2.64586 | − | 3.78490i | −0.254598 | − | 0.364202i | ||||
\(109\) | 9.43199 | + | 16.3367i | 0.903421 | + | 1.56477i | 0.823023 | + | 0.568008i | \(0.192286\pi\) |
0.0803973 | + | 0.996763i | \(0.474381\pi\) | |||||||
\(110\) | 17.1433 | 1.63455 | ||||||||
\(111\) | 1.66690 | + | 8.08330i | 0.158215 | + | 0.767233i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 9.27561 | − | 16.0658i | 0.872576 | − | 1.51135i | 0.0132538 | − | 0.999912i | \(-0.495781\pi\) |
0.859322 | − | 0.511434i | \(-0.170886\pi\) | |||||||
\(114\) | −0.528401 | − | 2.56238i | −0.0494893 | − | 0.239989i | ||||
\(115\) | 10.5433 | − | 18.2614i | 0.983163 | − | 1.70289i | ||||
\(116\) | 0.755260 | + | 1.30815i | 0.0701242 | + | 0.121459i | ||||
\(117\) | 2.40545 | + | 1.79272i | 0.222384 | + | 0.165737i | ||||
\(118\) | −15.0865 | −1.38883 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −11.1421 | − | 3.69529i | −1.01713 | − | 0.337332i | ||||
\(121\) | 1.54944 | + | 2.68371i | 0.140858 | + | 0.243974i | ||||
\(122\) | 6.58836 | 0.596482 | ||||||||
\(123\) | −1.89307 | − | 9.18007i | −0.170692 | − | 0.827739i | ||||
\(124\) | −6.21015 | −0.557688 | ||||||||
\(125\) | −10.3214 | −0.923175 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.98762 | 0.886258 | 0.443129 | − | 0.896458i | \(-0.353868\pi\) | ||||
0.443129 | + | 0.896458i | \(0.353868\pi\) | |||||||
\(128\) | 12.7775 | 1.12938 | ||||||||
\(129\) | −8.56546 | − | 2.84073i | −0.754147 | − | 0.250113i | ||||
\(130\) | −6.09888 | −0.534908 | ||||||||
\(131\) | −8.02654 | − | 13.9024i | −0.701282 | − | 1.21466i | −0.968017 | − | 0.250886i | \(-0.919278\pi\) |
0.266734 | − | 0.963770i | \(-0.414055\pi\) | |||||||
\(132\) | −0.873885 | − | 4.23774i | −0.0760619 | − | 0.368848i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 20.9208 | 1.80728 | ||||||||
\(135\) | 7.89307 | − | 16.8926i | 0.679327 | − | 1.45389i | ||||
\(136\) | −3.88255 | − | 6.72477i | −0.332926 | − | 0.576644i | ||||
\(137\) | 6.49381 | − | 11.2476i | 0.554804 | − | 0.960948i | −0.443115 | − | 0.896465i | \(-0.646127\pi\) |
0.997919 | − | 0.0644834i | \(-0.0205400\pi\) | |||||||
\(138\) | −16.4196 | − | 5.44556i | −1.39773 | − | 0.463557i | ||||
\(139\) | −0.555632 | + | 0.962383i | −0.0471281 | + | 0.0816283i | −0.888627 | − | 0.458630i | \(-0.848340\pi\) |
0.841499 | + | 0.540259i | \(0.181674\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3.45056 | + | 3.06914i | −0.290589 | + | 0.258468i | ||||
\(142\) | −4.88874 | −0.410254 | ||||||||
\(143\) | 1.40545 | + | 2.43430i | 0.117529 | + | 0.203567i | ||||
\(144\) | −1.74474 | + | 14.8608i | −0.145395 | + | 1.23840i | ||||
\(145\) | −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 | ||||
\(149\) | −4.21634 | − | 7.30291i | −0.345416 | − | 0.598278i | 0.640013 | − | 0.768364i | \(-0.278929\pi\) |
−0.985429 | + | 0.170086i | \(0.945595\pi\) | |||||||
\(150\) | 4.68292 | + | 22.7089i | 0.382359 | + | 1.85418i | ||||
\(151\) | 7.42580 | − | 12.8619i | 0.604303 | − | 1.04668i | −0.387858 | − | 0.921719i | \(-0.626785\pi\) |
0.992161 | − | 0.124964i | \(-0.0398816\pi\) | |||||||
\(152\) | −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 | ||||
\(156\) | 0.310892 | + | 1.50761i | 0.0248913 | + | 0.120706i | ||||
\(157\) | 2.88874 | 0.230546 | 0.115273 | − | 0.993334i | \(-0.463226\pi\) | ||||
0.115273 | + | 0.993334i | \(0.463226\pi\) | |||||||
\(158\) | −12.0444 | −0.958203 | ||||||||
\(159\) | 0.203270 | + | 0.0674145i | 0.0161204 | + | 0.00534632i | ||||
\(160\) | −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 | \(0.0343792\pi\) | |||||||
\(164\) | 2.40476 | − | 4.16516i | 0.187780 | − | 0.325245i | ||||
\(165\) | 13.0538 | − | 11.6108i | 1.01623 | − | 0.903903i | ||||
\(166\) | 3.49381 | + | 6.05146i | 0.271172 | + | 0.469684i | ||||
\(167\) | −6.07598 | + | 10.5239i | −0.470174 | + | 0.814365i | −0.999418 | − | 0.0341045i | \(-0.989142\pi\) |
0.529244 | + | 0.848469i | \(0.322475\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.00000 | + | 10.3923i | 0.461538 | + | 0.799408i | ||||
\(170\) | −12.5371 | + | 21.7148i | −0.961549 | + | 1.66545i | ||||
\(171\) | −2.13781 | − | 1.59325i | −0.163482 | − | 0.121839i | ||||
\(172\) | −2.31522 | − | 4.01008i | −0.176534 | − | 0.305766i | ||||
\(173\) | −6.60940 | −0.502504 | −0.251252 | − | 0.967922i | \(-0.580842\pi\) | ||||
−0.251252 | + | 0.967922i | \(0.580842\pi\) | |||||||
\(174\) | 4.74907 | + | 1.57503i | 0.360026 | + | 0.119403i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −7.00983 | + | 12.1414i | −0.528386 | + | 0.915191i | ||||
\(177\) | −11.4876 | + | 10.2178i | −0.863462 | + | 0.768018i | ||||
\(178\) | −8.16621 | + | 14.1443i | −0.612083 | + | 1.06016i | ||||
\(179\) | 1.92147 | + | 3.32808i | 0.143617 | + | 0.248752i | 0.928856 | − | 0.370440i | \(-0.120793\pi\) |
−0.785239 | + | 0.619193i | \(0.787460\pi\) | |||||||
\(180\) | 8.78682 | − | 3.78490i | 0.654931 | − | 0.282109i | ||||
\(181\) | 18.5426 | 1.37826 | 0.689129 | − | 0.724639i | \(-0.257993\pi\) | ||||
0.689129 | + | 0.724639i | \(0.257993\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 5.01671 | − | 4.46218i | 0.370846 | − | 0.329854i | ||||
\(184\) | 5.54944 | + | 9.61192i | 0.409110 | + | 0.708600i | ||||
\(185\) | −17.0989 | −1.25713 | ||||||||
\(186\) | −15.3702 | + | 13.6712i | −1.12700 | + | 1.00242i | ||||
\(187\) | 11.5563 | 0.845082 | ||||||||
\(188\) | −2.36955 | −0.172818 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 5.42030 | 0.393230 | ||||||||
\(191\) | 4.63416 | 0.335316 | 0.167658 | − | 0.985845i | \(-0.446380\pi\) | ||||
0.167658 | + | 0.985845i | \(0.446380\pi\) | |||||||
\(192\) | 2.57234 | − | 2.28800i | 0.185643 | − | 0.165122i | ||||
\(193\) | −25.2967 | −1.82089 | −0.910446 | − | 0.413627i | \(-0.864262\pi\) | ||||
−0.910446 | + | 0.413627i | \(0.864262\pi\) | |||||||
\(194\) | −6.22184 | − | 10.7765i | −0.446702 | − | 0.773711i | ||||
\(195\) | −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 | \(0.375267\pi\) | |||||||
\(198\) | −11.4920 | − | 8.56465i | −0.816697 | − | 0.608663i | ||||
\(199\) | 4.38323 | + | 7.59199i | 0.310719 | + | 0.538182i | 0.978518 | − | 0.206160i | \(-0.0660968\pi\) |
−0.667799 | + | 0.744342i | \(0.732763\pi\) | |||||||
\(200\) | 7.43818 | − | 12.8833i | 0.525959 | − | 0.910987i | ||||
\(201\) | 15.9301 | − | 14.1693i | 1.12362 | − | 0.999422i | ||||
\(202\) | −2.94437 | + | 5.09979i | −0.207165 | + | 0.358820i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 6.00688 | + | 1.99218i | 0.420566 | + | 0.139481i | ||||
\(205\) | 19.4189 | 1.35628 | ||||||||
\(206\) | 13.4920 | + | 23.3687i | 0.940029 | + | 1.62818i | ||||
\(207\) | −16.1909 | + | 6.97418i | −1.12534 | + | 0.484739i | ||||
\(208\) | 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 | −0.988366 | − | 0.152096i | \(-0.951398\pi\) |
0.625902 | + | 0.779902i | \(0.284731\pi\) | |||||||
\(212\) | 0.0549434 | + | 0.0951647i | 0.00377353 | + | 0.00653594i | ||||
\(213\) | −3.72253 | + | 3.31105i | −0.255063 | + | 0.226869i | ||||
\(214\) | 4.54944 | − | 7.87987i | 0.310993 | − | 0.538656i | ||||
\(215\) | 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 | ||||
\(219\) | 17.4945 | + | 5.80205i | 1.18217 | + | 0.392066i | ||||
\(220\) | 8.96424 | 0.604369 | ||||||||
\(221\) | −4.11126 | −0.276554 | ||||||||
\(222\) | 2.83310 | + | 13.7386i | 0.190145 | + | 0.922075i | ||||
\(223\) | 2.83379 | + | 4.90827i | 0.189765 | + | 0.328682i | 0.945172 | − | 0.326574i | \(-0.105894\pi\) |
−0.755407 | + | 0.655256i | \(0.772561\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 18.9462 | + | 14.1201i | 1.26308 | + | 0.941338i | ||||
\(226\) | 15.7651 | − | 27.3059i | 1.04868 | − | 1.81636i | ||||
\(227\) | 5.54944 | − | 9.61192i | 0.368329 | − | 0.637965i | −0.620975 | − | 0.783830i | \(-0.713263\pi\) |
0.989304 | + | 0.145865i | \(0.0465965\pi\) | |||||||
\(228\) | −0.276301 | − | 1.33987i | −0.0182985 | − | 0.0887351i | ||||
\(229\) | −9.82141 | − | 17.0112i | −0.649017 | − | 1.12413i | −0.983358 | − | 0.181679i | \(-0.941847\pi\) |
0.334341 | − | 0.942452i | \(-0.391486\pi\) | |||||||
\(230\) | 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 | \(0.261516\pi\) | |||||||
\(234\) | 4.08836 | + | 3.04695i | 0.267265 | + | 0.199185i | ||||
\(235\) | −4.78366 | − | 8.28554i | −0.312052 | − | 0.540489i | ||||
\(236\) | −7.88874 | −0.513513 | ||||||||
\(237\) | −9.17123 | + | 8.15747i | −0.595735 | + | 0.529884i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −5.61126 | + | 9.71899i | −0.362963 | + | 0.628670i | −0.988447 | − | 0.151567i | \(-0.951568\pi\) |
0.625484 | + | 0.780237i | \(0.284901\pi\) | |||||||
\(240\) | −29.4233 | − | 9.75822i | −1.89926 | − | 0.629890i | ||||
\(241\) | 3.49312 | − | 6.05026i | 0.225012 | − | 0.389732i | −0.731311 | − | 0.682044i | \(-0.761091\pi\) |
0.956323 | + | 0.292312i | \(0.0944246\pi\) | |||||||
\(242\) | 2.63348 | + | 4.56131i | 0.169286 | + | 0.293212i | ||||
\(243\) | −13.7305 | + | 7.38061i | −0.880812 | + | 0.473466i | ||||
\(244\) | 3.44506 | 0.220547 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −3.21751 | − | 15.6027i | −0.205141 | − | 0.994792i | ||||
\(247\) | 0.444368 | + | 0.769668i | 0.0282745 | + | 0.0489728i | ||||
\(248\) | 13.1978 | 0.838059 | ||||||||
\(249\) | 6.75890 | + | 2.24159i | 0.428328 | + | 0.142055i | ||||
\(250\) | −17.5426 | −1.10949 | ||||||||
\(251\) | 4.62041 | 0.291638 | 0.145819 | − | 0.989311i | \(-0.453418\pi\) | ||||
0.145819 | + | 0.989311i | \(0.453418\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −16.5178 | −1.03847 | ||||||||
\(254\) | 16.9752 | 1.06512 | ||||||||
\(255\) | 5.16071 | + | 25.0259i | 0.323176 | + | 1.56718i | ||||
\(256\) | 17.7417 | 1.10886 | ||||||||
\(257\) | 0.712008 | + | 1.23323i | 0.0444138 | + | 0.0769270i | 0.887378 | − | 0.461043i | \(-0.152525\pi\) |
−0.842964 | + | 0.537970i | \(0.819191\pi\) | |||||||
\(258\) | −14.5581 | − | 4.82819i | −0.906348 | − | 0.300590i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −3.18911 | −0.197780 | ||||||||
\(261\) | 4.68292 | − | 2.01715i | 0.289865 | − | 0.124859i | ||||
\(262\) | −13.6421 | − | 23.6289i | −0.842814 | − | 1.45980i | ||||
\(263\) | −8.13162 | + | 14.0844i | −0.501417 | + | 0.868480i | 0.498582 | + | 0.866843i | \(0.333854\pi\) |
−0.999999 | + | 0.00163692i | \(0.999479\pi\) | |||||||
\(264\) | 1.85717 | + | 9.00602i | 0.114301 | + | 0.554282i | ||||
\(265\) | −0.221840 | + | 0.384237i | −0.0136275 | + | 0.0236035i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 3.36151 | + | 16.3010i | 0.205721 | + | 0.997604i | ||||
\(268\) | 10.9395 | 0.668235 | ||||||||
\(269\) | 9.32691 | + | 16.1547i | 0.568672 | + | 0.984969i | 0.996698 | + | 0.0812022i | \(0.0258759\pi\) |
−0.428026 | + | 0.903767i | \(0.640791\pi\) | |||||||
\(270\) | 13.4153 | − | 28.7112i | 0.816428 | − | 1.74731i | ||||
\(271\) | −1.98143 | + | 3.43194i | −0.120363 | + | 0.208475i | −0.919911 | − | 0.392127i | \(-0.871739\pi\) |
0.799548 | + | 0.600603i | \(0.205073\pi\) | |||||||
\(272\) | −10.2527 | − | 17.7582i | −0.621662 | − | 1.07675i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 11.0371 | − | 19.1168i | 0.666773 | − | 1.15489i | ||||
\(275\) | 11.0698 | + | 19.1734i | 0.667534 | + | 1.15620i | ||||
\(276\) | −8.58582 | − | 2.84748i | −0.516805 | − | 0.171398i | ||||
\(277\) | 1.16690 | − | 2.02112i | 0.0701120 | − | 0.121438i | −0.828838 | − | 0.559488i | \(-0.810998\pi\) |
0.898950 | + | 0.438051i | \(0.144331\pi\) | |||||||
\(278\) | −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 | −0.894016 | − | 0.448035i | \(-0.852124\pi\) |
0.0589978 | − | 0.998258i | \(-0.481210\pi\) | |||||||
\(282\) | −5.86467 | + | 5.21640i | −0.349236 | + | 0.310632i | ||||
\(283\) | 10.3200 | 0.613462 | 0.306731 | − | 0.951796i | \(-0.400765\pi\) | ||||
0.306731 | + | 0.951796i | \(0.400765\pi\) | |||||||
\(284\) | −2.55632 | −0.151690 | ||||||||
\(285\) | 4.12729 | − | 3.67107i | 0.244479 | − | 0.217455i | ||||
\(286\) | 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 | ||||
\(290\) | −5.18292 | + | 8.97708i | −0.304351 | + | 0.527152i | ||||
\(291\) | −12.0364 | − | 3.99186i | −0.705585 | − | 0.234007i | ||||
\(292\) | 4.72872 | + | 8.19038i | 0.276727 | + | 0.479306i | ||||
\(293\) | 15.3480 | − | 26.5834i | 0.896637 | − | 1.55302i | 0.0648718 | − | 0.997894i | \(-0.479336\pi\) |
0.831765 | − | 0.555127i | \(-0.187330\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −15.9258 | − | 27.5843i | −0.927236 | − | 1.60602i | ||||
\(296\) | 4.50000 | − | 7.79423i | 0.261557 | − | 0.453030i | ||||
\(297\) | −14.5512 | + | 1.26174i | −0.844348 | + | 0.0732133i | ||||
\(298\) | −7.16621 | − | 12.4122i | −0.415127 | − | 0.719021i | ||||
\(299\) | 5.87636 | 0.339838 | ||||||||
\(300\) | 2.44870 | + | 11.8745i | 0.141376 | + | 0.685575i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 12.6211 | − | 21.8604i | 0.726262 | − | 1.25792i | ||||
\(303\) | 1.21201 | + | 5.87741i | 0.0696280 | + | 0.337648i | ||||
\(304\) | −2.21634 | + | 3.83881i | −0.127116 | + | 0.220171i | ||||
\(305\) | 6.95489 | + | 12.0462i | 0.398236 | + | 0.689765i | ||||
\(306\) | 19.2527 | − | 8.29305i | 1.10060 | − | 0.474082i | ||||
\(307\) | −11.4437 | −0.653125 | −0.326563 | − | 0.945176i | \(-0.605890\pi\) | ||||
−0.326563 | + | 0.945176i | \(0.605890\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 26.1007 | + | 8.65628i | 1.48482 | + | 0.492439i | ||||
\(310\) | −21.3083 | − | 36.9071i | −1.21023 | − | 2.09618i | ||||
\(311\) | 11.9629 | 0.678352 | 0.339176 | − | 0.940723i | \(-0.389852\pi\) | ||||
0.339176 | + | 0.940723i | \(0.389852\pi\) | |||||||
\(312\) | −0.660706 | − | 3.20397i | −0.0374051 | − | 0.181389i | ||||
\(313\) | −13.5439 | −0.765549 | −0.382774 | − | 0.923842i | \(-0.625031\pi\) | ||||
−0.382774 | + | 0.923842i | \(0.625031\pi\) | |||||||
\(314\) | 4.90978 | 0.277075 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −6.29803 | −0.354292 | ||||||||
\(317\) | −29.9629 | −1.68288 | −0.841441 | − | 0.540349i | \(-0.818292\pi\) | ||||
−0.841441 | + | 0.540349i | \(0.818292\pi\) | |||||||
\(318\) | 0.345483 | + | 0.114580i | 0.0193738 | + | 0.00642530i | ||||
\(319\) | 4.77747 | 0.267487 | ||||||||
\(320\) | 3.56615 | + | 6.17676i | 0.199354 | + | 0.345291i | ||||
\(321\) | −1.87271 | − | 9.08138i | −0.104525 | − | 0.506873i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.65383 | 0.203304 | ||||||||
\(324\) | −7.78111 | − | 1.85263i | −0.432284 | − | 0.102924i | ||||
\(325\) | −3.93818 | − | 6.82112i | −0.218451 | − | 0.378368i | ||||
\(326\) | 8.76076 | − | 15.1741i | 0.485214 | − | 0.840415i | ||||
\(327\) | 31.0123 | + | 10.2852i | 1.71498 | + | 0.568774i | ||||
\(328\) | −5.11058 | + | 8.85178i | −0.282184 | + | 0.488758i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 22.1866 | − | 19.7341i | 1.22133 | − | 1.08633i | ||||
\(331\) | 2.08650 | 0.114685 | 0.0573423 | − | 0.998355i | \(-0.481737\pi\) | ||||
0.0573423 | + | 0.998355i | \(0.481737\pi\) | |||||||
\(332\) | 1.82691 | + | 3.16431i | 0.100265 | + | 0.173664i | ||||
\(333\) | 11.4622 | + | 8.54245i | 0.628123 | + | 0.468124i | ||||
\(334\) | −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 | −0.556325 | − | 0.830965i | \(-0.687789\pi\) |
0.997799 | + | 0.0663093i | \(0.0211224\pi\) | |||||||
\(338\) | 10.1978 | + | 17.6631i | 0.554686 | + | 0.960743i | ||||
\(339\) | −6.48948 | − | 31.4695i | −0.352460 | − | 1.70919i | ||||
\(340\) | −6.55563 | + | 11.3547i | −0.355529 | + | 0.615794i | ||||
\(341\) | −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 | ||||
\(345\) | −7.37636 | − | 35.7703i | −0.397130 | − | 1.92581i | ||||
\(346\) | −11.2335 | −0.603918 | ||||||||
\(347\) | 11.2670 | 0.604842 | 0.302421 | − | 0.953175i | \(-0.402205\pi\) | ||||
0.302421 | + | 0.953175i | \(0.402205\pi\) | |||||||
\(348\) | 2.48329 | + | 0.823583i | 0.133118 | + | 0.0441487i | ||||
\(349\) | 0.0988844 | + | 0.171273i | 0.00529316 | + | 0.00916803i | 0.868660 | − | 0.495409i | \(-0.164982\pi\) |
−0.863367 | + | 0.504577i | \(0.831648\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 5.17673 | − | 0.448873i | 0.276313 | − | 0.0239591i | ||||
\(352\) | −6.60507 | + | 11.4403i | −0.352052 | + | 0.609771i | ||||
\(353\) | 6.25093 | − | 10.8269i | 0.332703 | − | 0.576259i | −0.650338 | − | 0.759645i | \(-0.725373\pi\) |
0.983041 | + | 0.183386i | \(0.0587059\pi\) | |||||||
\(354\) | −19.5247 | + | 17.3665i | −1.03773 | + | 0.923018i | ||||
\(355\) | −5.16071 | − | 8.93861i | −0.273902 | − | 0.474412i | ||||
\(356\) | −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 | \(0.989497\pi\) | |||||||
\(360\) | −18.6737 | + | 8.04364i | −0.984190 | + | 0.423937i | ||||
\(361\) | 9.10507 | + | 15.7705i | 0.479214 | + | 0.830024i | ||||
\(362\) | 31.5155 | 1.65642 | ||||||||
\(363\) | 5.09455 | + | 1.68961i | 0.267395 | + | 0.0886814i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −19.0927 | + | 33.0695i | −0.999357 | + | 1.73094i | ||||
\(366\) | 8.52654 | − | 7.58404i | 0.445689 | − | 0.396424i | ||||
\(367\) | −15.0364 | + | 26.0438i | −0.784892 | + | 1.35947i | 0.144171 | + | 0.989553i | \(0.453948\pi\) |
−0.929063 | + | 0.369921i | \(0.879385\pi\) | |||||||
\(368\) | 14.6545 | + | 25.3824i | 0.763919 | + | 1.32315i | ||||
\(369\) | −13.0174 | − | 9.70152i | −0.677659 | − | 0.505041i | ||||
\(370\) | −29.0617 | −1.51085 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −8.03706 | + | 7.14867i | −0.416702 | + | 0.370641i | ||||
\(373\) | −3.50619 | − | 6.07290i | −0.181544 | − | 0.314443i | 0.760863 | − | 0.648913i | \(-0.224776\pi\) |
−0.942406 | + | 0.334470i | \(0.891443\pi\) | |||||||
\(374\) | 19.6414 | 1.01564 | ||||||||
\(375\) | −13.3578 | + | 11.8813i | −0.689793 | + | 0.613545i | ||||
\(376\) | 5.03576 | 0.259700 | ||||||||
\(377\) | −1.69963 | −0.0875353 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −19.0741 | −0.979772 | −0.489886 | − | 0.871787i | \(-0.662962\pi\) | ||||
−0.489886 | + | 0.871787i | \(0.662962\pi\) | |||||||
\(380\) | 2.83427 | 0.145395 | ||||||||
\(381\) | 12.9258 | − | 11.4970i | 0.662209 | − | 0.589010i | ||||
\(382\) | 7.87636 | 0.402989 | ||||||||
\(383\) | −1.60507 | − | 2.78007i | −0.0820155 | − | 0.142055i | 0.822100 | − | 0.569343i | \(-0.192802\pi\) |
−0.904116 | + | 0.427288i | \(0.859469\pi\) | |||||||
\(384\) | 16.5364 | − | 14.7085i | 0.843868 | − | 0.750590i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −42.9949 | −2.18838 | ||||||||
\(387\) | −14.3553 | + | 6.18351i | −0.729722 | + | 0.314325i | ||||
\(388\) | −3.25340 | − | 5.63506i | −0.165166 | − | 0.286077i | ||||
\(389\) | −2.56801 | + | 4.44793i | −0.130203 | + | 0.225519i | −0.923755 | − | 0.382984i | \(-0.874896\pi\) |
0.793552 | + | 0.608503i | \(0.208230\pi\) | |||||||
\(390\) | −7.89307 | + | 7.02059i | −0.399681 | + | 0.355501i | ||||
\(391\) | 12.0796 | − | 20.9225i | 0.610893 | − | 1.05810i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −26.3912 | − | 8.75264i | −1.33126 | − | 0.441512i | ||||
\(394\) | 18.2212 | 0.917968 | ||||||||
\(395\) | −12.7145 | − | 22.0221i | −0.639735 | − | 1.10805i | ||||
\(396\) | −6.00914 | − | 4.47846i | −0.301971 | − | 0.225051i | ||||
\(397\) | −11.4691 | + | 19.8650i | −0.575615 | + | 0.996995i | 0.420359 | + | 0.907358i | \(0.361904\pi\) |
−0.995975 | + | 0.0896370i | \(0.971429\pi\) | |||||||
\(398\) | 7.44987 | + | 12.9036i | 0.373428 | + | 0.646797i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 19.6421 | − | 34.0212i | 0.982107 | − | 1.70106i | ||||
\(401\) | 9.10507 | + | 15.7705i | 0.454686 | + | 0.787539i | 0.998670 | − | 0.0515566i | \(-0.0164183\pi\) |
−0.543984 | + | 0.839095i | \(0.683085\pi\) | |||||||
\(402\) | 27.0753 | − | 24.0825i | 1.35039 | − | 1.20112i | ||||
\(403\) | 3.49381 | − | 6.05146i | 0.174039 | − | 0.301445i | ||||
\(404\) | −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 | ||||
\(408\) | −12.7658 | − | 4.23377i | −0.632000 | − | 0.209603i | ||||
\(409\) | −15.3324 | −0.758139 | −0.379070 | − | 0.925368i | \(-0.623756\pi\) | ||||
−0.379070 | + | 0.925368i | \(0.623756\pi\) | |||||||
\(410\) | 33.0049 | 1.63000 | ||||||||
\(411\) | −4.54325 | − | 22.0317i | −0.224102 | − | 1.08674i | ||||
\(412\) | 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 | ||||
\(416\) | 2.34981 | − | 4.07000i | 0.115209 | − | 0.199548i | ||||
\(417\) | 0.388736 | + | 1.88510i | 0.0190365 | + | 0.0923138i | ||||
\(418\) | −2.12296 | − | 3.67707i | −0.103837 | − | 0.179851i | ||||
\(419\) | −5.28435 | + | 9.15276i | −0.258157 | + | 0.447142i | −0.965748 | − | 0.259481i | \(-0.916449\pi\) |
0.707591 | + | 0.706622i | \(0.249782\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 18.0858 | + | 31.3256i | 0.881449 | + | 1.52671i | 0.849731 | + | 0.527217i | \(0.176765\pi\) |
0.0317181 | + | 0.999497i | \(0.489902\pi\) | |||||||
\(422\) | −8.94870 | + | 15.4996i | −0.435616 | + | 0.754509i | ||||
\(423\) | −0.932677 | + | 7.94406i | −0.0453483 | + | 0.386253i | ||||
\(424\) | −0.116765 | − | 0.202243i | −0.00567062 | − | 0.00982181i | ||||
\(425\) | −32.3818 | −1.57075 | ||||||||
\(426\) | −6.32691 | + | 5.62755i | −0.306540 | + | 0.272656i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 2.37890 | − | 4.12038i | 0.114989 | − | 0.199166i | ||||
\(429\) | 4.62110 | + | 1.53259i | 0.223109 | + | 0.0739939i | ||||
\(430\) | 15.8880 | − | 27.5189i | 0.766190 | − | 1.32708i | ||||
\(431\) | −17.5494 | − | 30.3965i | −0.845327 | − | 1.46415i | −0.885337 | − | 0.464950i | \(-0.846072\pi\) |
0.0400101 | − | 0.999199i | \(-0.487261\pi\) | |||||||
\(432\) | 14.8486 | + | 21.2410i | 0.714406 | + | 1.02196i | ||||
\(433\) | −41.1730 | −1.97865 | −0.989324 | − | 0.145731i | \(-0.953447\pi\) | ||||
−0.989324 | + | 0.145731i | \(0.953447\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 2.13348 | + | 10.3459i | 0.102292 | + | 0.496047i | ||||
\(436\) | 8.38255 | + | 14.5190i | 0.401451 | + | 0.695334i | ||||
\(437\) | −5.22253 | −0.249827 | ||||||||
\(438\) | 29.7341 | + | 9.86132i | 1.42075 | + | 0.471192i | ||||
\(439\) | −4.67859 | −0.223297 | −0.111648 | − | 0.993748i | \(-0.535613\pi\) | ||||
−0.111648 | + | 0.993748i | \(0.535613\pi\) | |||||||
\(440\) | −19.0507 | −0.908209 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −6.98762 | −0.332367 | ||||||||
\(443\) | 30.1730 | 1.43356 | 0.716781 | − | 0.697298i | \(-0.245615\pi\) | ||||
0.716781 | + | 0.697298i | \(0.245615\pi\) | |||||||
\(444\) | 1.48143 | + | 7.18392i | 0.0703056 | + | 0.340934i | ||||
\(445\) | −34.4820 | −1.63461 | ||||||||
\(446\) | 4.81639 | + | 8.34224i | 0.228063 | + | 0.395016i | ||||
\(447\) | −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 | \(0.497493\pi\) | |||||||
\(450\) | 32.2014 | + | 23.9989i | 1.51799 | + | 1.13132i | ||||
\(451\) | −7.60576 | − | 13.1736i | −0.358141 | − | 0.620319i | ||||
\(452\) | 8.24357 | − | 14.2783i | 0.387745 | − | 0.671594i | ||||
\(453\) | −5.19530 | − | 25.1936i | −0.244096 | − | 1.18370i | ||||
\(454\) | 9.43199 | − | 16.3367i | 0.442665 | − | 0.766719i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0.587193 | + | 2.84748i | 0.0274979 | + | 0.133346i | ||||
\(457\) | −19.3090 | −0.903238 | −0.451619 | − | 0.892211i | \(-0.649153\pi\) | ||||
−0.451619 | + | 0.892211i | \(0.649153\pi\) | |||||||
\(458\) | −16.6927 | − | 28.9127i | −0.780001 | − | 1.35100i | ||||
\(459\) | 9.04325 | − | 19.3542i | 0.422103 | − | 0.903379i | ||||
\(460\) | 9.37017 | − | 16.2296i | 0.436886 | − | 0.756709i | ||||
\(461\) | −19.5538 | − | 33.8681i | −0.910710 | − | 1.57740i | −0.813064 | − | 0.582175i | \(-0.802202\pi\) |
−0.0976463 | − | 0.995221i | \(-0.531131\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −10.9382 | + | 18.9455i | −0.508340 | + | 0.880471i | 0.491613 | + | 0.870814i | \(0.336407\pi\) |
−0.999953 | + | 0.00965741i | \(0.996926\pi\) | |||||||
\(464\) | −4.23855 | − | 7.34138i | −0.196770 | − | 0.340815i | ||||
\(465\) | −41.2218 | − | 13.6712i | −1.91161 | − | 0.633986i | ||||
\(466\) | −7.61677 | + | 13.1926i | −0.352840 | + | 0.611137i | ||||
\(467\) | 6.16002 | − | 10.6695i | 0.285052 | − | 0.493724i | −0.687570 | − | 0.726118i | \(-0.741323\pi\) |
0.972622 | + | 0.232394i | \(0.0746559\pi\) | |||||||
\(468\) | 2.13781 | + | 1.59325i | 0.0988201 | + | 0.0736480i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −8.13045 | − | 14.0823i | −0.375029 | − | 0.649570i | ||||
\(471\) | 3.73855 | − | 3.32530i | 0.172263 | − | 0.153222i | ||||
\(472\) | 16.7651 | 0.771676 | ||||||||
\(473\) | −14.6452 | −0.673385 | ||||||||
\(474\) | −15.5877 | + | 13.8647i | −0.715966 | + | 0.636825i | ||||
\(475\) | 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 | ||||
\(479\) | −6.74474 | + | 11.6822i | −0.308175 | + | 0.533775i | −0.977963 | − | 0.208777i | \(-0.933052\pi\) |
0.669788 | + | 0.742552i | \(0.266385\pi\) | |||||||
\(480\) | −27.7243 | − | 9.19476i | −1.26544 | − | 0.419682i | ||||
\(481\) | −2.38255 | − | 4.12669i | −0.108635 | − | 0.188161i | ||||
\(482\) | 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 | ||||
\(486\) | −23.3367 | + | 12.5443i | −1.05858 | + | 0.569020i | ||||
\(487\) | −3.77197 | − | 6.53324i | −0.170924 | − | 0.296050i | 0.767819 | − | 0.640667i | \(-0.221342\pi\) |
−0.938743 | + | 0.344617i | \(0.888009\pi\) | |||||||
\(488\) | −7.32141 | −0.331425 | ||||||||
\(489\) | −3.60624 | − | 17.4878i | −0.163080 | − | 0.790826i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 8.06979 | − | 13.9773i | 0.364185 | − | 0.630786i | −0.624460 | − | 0.781057i | \(-0.714681\pi\) |
0.988645 | + | 0.150270i | \(0.0480143\pi\) | |||||||
\(492\) | −1.68244 | − | 8.15866i | −0.0758501 | − | 0.367821i | ||||
\(493\) | −3.49381 | + | 6.05146i | −0.157353 | + | 0.272544i | ||||
\(494\) | 0.755260 | + | 1.30815i | 0.0339808 | + | 0.0588564i | ||||
\(495\) | 3.52840 | − | 30.0531i | 0.158590 | − | 1.35079i | ||||
\(496\) | 34.8516 | 1.56488 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 11.4876 | + | 3.80987i | 0.514773 | + | 0.170724i | ||||
\(499\) | 15.4327 | + | 26.7302i | 0.690862 | + | 1.19661i | 0.971556 | + | 0.236810i | \(0.0761019\pi\) |
−0.280694 | + | 0.959797i | \(0.590565\pi\) | |||||||
\(500\) | −9.17301 | −0.410229 | ||||||||
\(501\) | 4.25093 | + | 20.6141i | 0.189918 | + | 0.920970i | ||||
\(502\) | 7.85297 | 0.350495 | ||||||||
\(503\) | 24.6304 | 1.09822 | 0.549109 | − | 0.835751i | \(-0.314967\pi\) | ||||
0.549109 | + | 0.835751i | \(0.314967\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −12.4327 | −0.553247 | ||||||||
\(506\) | −28.0741 | −1.24805 | ||||||||
\(507\) | 19.7280 | + | 6.54277i | 0.876149 | + | 0.290575i | ||||
\(508\) | 8.87636 | 0.393825 | ||||||||
\(509\) | −6.79487 | − | 11.7691i | −0.301177 | − | 0.521654i | 0.675226 | − | 0.737611i | \(-0.264046\pi\) |
−0.976403 | + | 0.215957i | \(0.930713\pi\) | |||||||
\(510\) | 8.77128 | + | 42.5347i | 0.388399 | + | 1.88347i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 4.59937 | 0.203265 | ||||||||
\(513\) | −4.60074 | + | 0.398930i | −0.203128 | + | 0.0176132i | ||||
\(514\) | 1.21015 | + | 2.09604i | 0.0533774 | + | 0.0924523i | ||||
\(515\) | −28.4851 | + | 49.3376i | −1.25520 | + | 2.17407i | ||||
\(516\) | −7.61243 | − | 2.52466i | −0.335119 | − | 0.111142i | ||||
\(517\) | −3.74721 | + | 6.49036i | −0.164802 | + | 0.285446i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −8.55377 | + | 7.60826i | −0.375469 | + | 0.333966i | ||||
\(520\) | 6.77747 | 0.297212 | ||||||||
\(521\) | 19.5865 | + | 33.9248i | 0.858100 | + | 1.48627i | 0.873739 | + | 0.486396i | \(0.161689\pi\) |
−0.0156383 | + | 0.999878i | \(0.504978\pi\) | |||||||
\(522\) | 7.95922 | − | 3.42841i | 0.348366 | − | 0.150057i | ||||
\(523\) | −9.56182 | + | 16.5616i | −0.418109 | + | 0.724187i | −0.995749 | − | 0.0921051i | \(-0.970640\pi\) |
0.577640 | + | 0.816292i | \(0.303974\pi\) | |||||||
\(524\) | −7.13348 | − | 12.3555i | −0.311627 | − | 0.539754i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −13.8207 | + | 23.9382i | −0.602612 | + | 1.04375i | ||||
\(527\) | −14.3640 | − | 24.8791i | −0.625705 | − | 1.08375i | ||||
\(528\) | 4.90428 | + | 23.7824i | 0.213431 | + | 1.03499i | ||||
\(529\) | −5.76578 | + | 9.98663i | −0.250686 | + | 0.434201i | ||||
\(530\) | −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 | ||||
\(534\) | 5.71331 | + | 27.7056i | 0.247239 | + | 1.19894i | ||||
\(535\) | 19.2101 | 0.830527 | ||||||||
\(536\) | −23.2485 | −1.00418 | ||||||||
\(537\) | 6.31777 | + | 2.09529i | 0.272632 | + | 0.0904183i | ||||
\(538\) | 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 | \(0.183988\pi\) | |||||||
\(542\) | −3.36769 | + | 5.83302i | −0.144655 | + | 0.250550i | ||||
\(543\) | 23.9975 | − | 21.3448i | 1.02983 | − | 0.915995i | ||||
\(544\) | −9.66071 | − | 16.7328i | −0.414199 | − | 0.717414i | ||||
\(545\) | −33.8454 | + | 58.6220i | −1.44978 | + | 2.51109i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −8.92580 | − | 15.4599i | −0.381640 | − | 0.661019i | 0.609657 | − | 0.792665i | \(-0.291307\pi\) |
−0.991297 | + | 0.131646i | \(0.957974\pi\) | |||||||
\(548\) | 5.77128 | − | 9.99615i | 0.246537 | − | 0.427015i | ||||
\(549\) | 1.35600 | − | 11.5497i | 0.0578728 | − | 0.492931i | ||||
\(550\) | 18.8145 | + | 32.5877i | 0.802254 | + | 1.38955i | ||||
\(551\) | 1.51052 | 0.0643503 | ||||||||
\(552\) | 18.2465 | + | 6.05146i | 0.776624 | + | 0.257567i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 1.98329 | − | 3.43516i | 0.0842619 | − | 0.145946i | ||||
\(555\) | −22.1291 | + | 19.6830i | −0.939327 | + | 0.835496i | ||||
\(556\) | −0.493810 | + | 0.855304i | −0.0209422 | + | 0.0362730i | ||||
\(557\) | −20.6804 | − | 35.8195i | −0.876255 | − | 1.51772i | −0.855419 | − | 0.517936i | \(-0.826701\pi\) |
−0.0208360 | − | 0.999783i | \(-0.506633\pi\) | |||||||
\(558\) | −4.15452 | + | 35.3860i | −0.175875 | + | 1.49801i | ||||
\(559\) | 5.21015 | 0.220366 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 14.9560 | − | 13.3028i | 0.631442 | − | 0.561644i | ||||
\(562\) | −23.7905 | − | 41.2063i | −1.00354 | − | 1.73818i | ||||
\(563\) | −20.7366 | −0.873944 | −0.436972 | − | 0.899475i | \(-0.643949\pi\) | ||||
−0.436972 | + | 0.899475i | \(0.643949\pi\) | |||||||
\(564\) | −3.06663 | + | 2.72766i | −0.129129 | + | 0.114855i | ||||
\(565\) | 66.5685 | 2.80056 | ||||||||
\(566\) | 17.5402 | 0.737271 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 5.43268 | 0.227950 | ||||||||
\(569\) | −0.268329 | −0.0112489 | −0.00562446 | − | 0.999984i | \(-0.501790\pi\) | ||||
−0.00562446 | + | 0.999984i | \(0.501790\pi\) | |||||||
\(570\) | 7.01485 | − | 6.23945i | 0.293820 | − | 0.261342i | ||||
\(571\) | 35.9367 | 1.50391 | 0.751953 | − | 0.659217i | \(-0.229112\pi\) | ||||
0.751953 | + | 0.659217i | \(0.229112\pi\) | |||||||
\(572\) | 1.24907 | + | 2.16345i | 0.0522263 | + | 0.0904585i | ||||
\(573\) | 5.99745 | − | 5.33451i | 0.250547 | − | 0.222852i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 46.2843 | 1.93019 | ||||||||
\(576\) | 0.695298 | − | 5.92218i | 0.0289707 | − | 0.246758i | ||||
\(577\) | −2.71565 | − | 4.70364i | −0.113054 | − | 0.195815i | 0.803946 | − | 0.594702i | \(-0.202730\pi\) |
−0.917000 | + | 0.398887i | \(0.869397\pi\) | |||||||
\(578\) | 0.0828628 | − | 0.143523i | 0.00344664 | − | 0.00596976i | ||||
\(579\) | −32.7385 | + | 29.1197i | −1.36056 | + | 1.21017i | ||||
\(580\) | −2.71015 | + | 4.69412i | −0.112533 | + | 0.194913i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −20.4574 | − | 6.78468i | −0.847985 | − | 0.281234i | ||||
\(583\) | 0.347550 | 0.0143940 | ||||||||
\(584\) | −10.0494 | − | 17.4061i | −0.415849 | − | 0.720271i | ||||
\(585\) | −1.25526 | + | 10.6917i | −0.0518986 | + | 0.442046i | ||||
\(586\) | 26.0858 | − | 45.1820i | 1.07760 | − | 1.86645i | ||||
\(587\) | −17.5822 | − | 30.4532i | −0.725694 | − | 1.25694i | −0.958688 | − | 0.284461i | \(-0.908185\pi\) |
0.232994 | − | 0.972478i | \(-0.425148\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −3.10507 | + | 5.37815i | −0.127942 | + | 0.221603i | ||||
\(590\) | −27.0679 | − | 46.8830i | −1.11437 | − | 1.93014i | ||||
\(591\) | 13.8745 | − | 12.3408i | 0.570721 | − | 0.507635i | ||||
\(592\) | 11.8832 | − | 20.5824i | 0.488398 | − | 0.845930i | ||||
\(593\) | 16.7534 | − | 29.0177i | 0.687980 | − | 1.19162i | −0.284511 | − | 0.958673i | \(-0.591831\pi\) |
0.972490 | − | 0.232943i | \(-0.0748355\pi\) | |||||||
\(594\) | −24.7317 | + | 2.14448i | −1.01475 | + | 0.0879891i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −3.74721 | − | 6.49036i | −0.153492 | − | 0.265856i | ||||
\(597\) | 14.4120 | + | 4.77975i | 0.589846 | + | 0.195622i | ||||
\(598\) | 9.98762 | 0.408424 | ||||||||
\(599\) | 6.24729 | 0.255257 | 0.127629 | − | 0.991822i | \(-0.459263\pi\) | ||||
0.127629 | + | 0.991822i | \(0.459263\pi\) | |||||||
\(600\) | −5.20396 | − | 25.2356i | −0.212451 | − | 1.03024i | ||||
\(601\) | −11.2040 | − | 19.4058i | −0.457019 | − | 0.791580i | 0.541783 | − | 0.840519i | \(-0.317750\pi\) |
−0.998802 | + | 0.0489384i | \(0.984416\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 4.30587 | − | 36.6752i | 0.175349 | − | 1.49353i | ||||
\(604\) | 6.59957 | − | 11.4308i | 0.268533 | − | 0.465112i | ||||
\(605\) | −5.55996 | + | 9.63014i | −0.226045 | + | 0.391521i | ||||
\(606\) | 2.05996 | + | 9.98940i | 0.0836803 | + | 0.405792i | ||||
\(607\) | −7.47524 | − | 12.9475i | −0.303411 | − | 0.525523i | 0.673496 | − | 0.739191i | \(-0.264792\pi\) |
−0.976906 | + | 0.213669i | \(0.931459\pi\) | |||||||
\(608\) | −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 | ||||
\(612\) | 10.0672 | − | 4.33643i | 0.406944 | − | 0.175290i | ||||
\(613\) | −17.5989 | − | 30.4822i | −0.710812 | − | 1.23116i | −0.964553 | − | 0.263891i | \(-0.914994\pi\) |
0.253740 | − | 0.967272i | \(-0.418339\pi\) | |||||||
\(614\) | −19.4500 | −0.784938 | ||||||||
\(615\) | 25.1316 | − | 22.3536i | 1.01340 | − | 0.901386i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 1.00619 | − | 1.74277i | 0.0405077 | − | 0.0701614i | −0.845061 | − | 0.534670i | \(-0.820436\pi\) |
0.885568 | + | 0.464509i | \(0.153769\pi\) | |||||||
\(618\) | 44.3614 | + | 14.7125i | 1.78448 | + | 0.591822i | ||||
\(619\) | −19.6909 | + | 34.1056i | −0.791444 | + | 1.37082i | 0.133629 | + | 0.991031i | \(0.457337\pi\) |
−0.925073 | + | 0.379789i | \(0.875996\pi\) | |||||||
\(620\) | −11.1421 | − | 19.2987i | −0.447479 | − | 0.775056i | ||||
\(621\) | −12.9258 | + | 27.6636i | −0.518694 | + | 1.11010i | ||||
\(622\) | 20.3324 | 0.815256 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −1.74474 | − | 8.46079i | −0.0698455 | − | 0.338703i | ||||
\(625\) | 1.17240 | + | 2.03065i | 0.0468959 | + | 0.0812261i | ||||
\(626\) | −23.0197 | −0.920051 | ||||||||
\(627\) | −4.10693 | − | 1.36206i | −0.164015 | − | 0.0543956i | ||||
\(628\) | 2.56732 | 0.102447 | ||||||||
\(629\) | −19.5906 | −0.781126 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 44.3832 | 1.76687 | 0.883433 | − | 0.468558i | \(-0.155226\pi\) | ||||
0.883433 | + | 0.468558i | \(0.155226\pi\) | |||||||
\(632\) | 13.3845 | 0.532408 | ||||||||
\(633\) | 3.68361 | + | 17.8630i | 0.146410 | + | 0.709989i | ||||
\(634\) | −50.9257 | −2.02252 | ||||||||
\(635\) | 17.9196 | + | 31.0377i | 0.711118 | + | 1.23169i | ||||
\(636\) | 0.180653 | + | 0.0599137i | 0.00716337 | + | 0.00237573i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 8.11993 | 0.321471 | ||||||||
\(639\) | −1.00619 | + | 8.57020i | −0.0398043 | + | 0.339032i | ||||
\(640\) | 22.9251 | + | 39.7075i | 0.906195 | + | 1.56957i | ||||
\(641\) | 7.49312 | − | 12.9785i | 0.295961 | − | 0.512619i | −0.679247 | − | 0.733909i | \(-0.737694\pi\) |
0.975208 | + | 0.221291i | \(0.0710270\pi\) | |||||||
\(642\) | −3.18292 | − | 15.4350i | −0.125620 | − | 0.609169i | ||||
\(643\) | 5.32691 | − | 9.22649i | 0.210073 | − | 0.363857i | −0.741664 | − | 0.670771i | \(-0.765963\pi\) |
0.951737 | + | 0.306914i | \(0.0992965\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −6.54009 | − | 31.7150i | −0.257516 | − | 1.24878i | ||||
\(646\) | 6.21015 | 0.244335 | ||||||||
\(647\) | −1.06478 | − | 1.84424i | −0.0418606 | − | 0.0725047i | 0.844336 | − | 0.535814i | \(-0.179995\pi\) |
−0.886197 | + | 0.463309i | \(0.846662\pi\) | |||||||
\(648\) | 16.5364 | + | 3.93720i | 0.649610 | + | 0.154668i | ||||
\(649\) | −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 | ||||
\(653\) | −5.58582 | − | 9.67492i | −0.218590 | − | 0.378609i | 0.735787 | − | 0.677213i | \(-0.236812\pi\) |
−0.954377 | + | 0.298604i | \(0.903479\pi\) | |||||||
\(654\) | 52.7094 | + | 17.4811i | 2.06110 | + | 0.683564i | ||||
\(655\) | 28.8022 | − | 49.8868i | 1.12539 | − | 1.94924i | ||||
\(656\) | −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 | 0.954890 | − | 0.296961i | \(-0.0959733\pi\) |
−0.734621 | + | 0.678478i | \(0.762640\pi\) | |||||||
\(660\) | 11.6014 | − | 10.3190i | 0.451582 | − | 0.401666i | ||||
\(661\) | 32.3570 | 1.25854 | 0.629271 | − | 0.777186i | \(-0.283354\pi\) | ||||
0.629271 | + | 0.777186i | \(0.283354\pi\) | |||||||
\(662\) | 3.54628 | 0.137830 | ||||||||
\(663\) | −5.32072 | + | 4.73259i | −0.206640 | + | 0.183798i | ||||
\(664\) | −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 | ||||
\(668\) | −5.39995 | + | 9.35298i | −0.208930 | + | 0.361878i | ||||
\(669\) | 9.31749 | + | 3.09014i | 0.360235 | + | 0.119472i | ||||
\(670\) | 37.5357 | + | 65.0137i | 1.45013 | + | 2.51170i | ||||
\(671\) | 5.44801 | − | 9.43623i | 0.210318 | − | 0.364282i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 12.0803 | + | 20.9237i | 0.465662 | + | 0.806550i | 0.999231 | − | 0.0392063i | \(-0.0124830\pi\) |
−0.533569 | + | 0.845756i | \(0.679150\pi\) | |||||||
\(674\) | 13.7744 | − | 23.8580i | 0.530572 | − | 0.918977i | ||||
\(675\) | 40.7738 | − | 3.53549i | 1.56938 | − | 0.136081i | ||||
\(676\) | 5.33242 | + | 9.23601i | 0.205093 | + | 0.355231i | ||||
\(677\) | 25.0741 | 0.963677 | 0.481838 | − | 0.876260i | \(-0.339969\pi\) | ||||
0.481838 | + | 0.876260i | \(0.339969\pi\) | |||||||
\(678\) | −11.0297 | − | 53.4865i | −0.423593 | − | 2.05414i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 13.9320 | − | 24.1309i | 0.534267 | − | 0.925378i | ||||
\(681\) | −3.88255 | − | 18.8277i | −0.148779 | − | 0.721478i | ||||
\(682\) | −16.6916 | + | 28.9107i | −0.639154 | + | 1.10705i | ||||
\(683\) | 23.8392 | + | 41.2907i | 0.912182 | + | 1.57995i | 0.810975 | + | 0.585081i | \(0.198937\pi\) |
0.101207 | + | 0.994865i | \(0.467729\pi\) | |||||||
\(684\) | −1.89995 | − | 1.41598i | −0.0726462 | − | 0.0541413i | ||||
\(685\) | 46.6043 | 1.78066 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −32.2927 | − | 10.7099i | −1.23204 | − | 0.408607i | ||||
\(688\) | 12.9931 | + | 22.5047i | 0.495358 | + | 0.857985i | ||||
\(689\) | −0.123644 | −0.00471046 | ||||||||
\(690\) | −12.5371 | − | 60.7961i | −0.477278 | − | 2.31447i | ||||
\(691\) | −24.6800 | −0.938870 | −0.469435 | − | 0.882967i | \(-0.655542\pi\) | ||||
−0.469435 | + | 0.882967i | \(0.655542\pi\) | |||||||
\(692\) | −5.87402 | −0.223297 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 19.1496 | 0.726910 | ||||||||
\(695\) | −3.98762 | −0.151259 | ||||||||
\(696\) | −5.27747 | − | 1.75027i | −0.200042 | − | 0.0663439i | ||||
\(697\) | 22.2487 | 0.842728 | ||||||||
\(698\) | 0.168067 | + | 0.291100i | 0.00636142 | + | 0.0110183i | ||||
\(699\) | 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 | \(0.689379\pi\) | |||||||
\(702\) | 8.79851 | − | 0.762918i | 0.332078 | − | 0.0287945i | ||||
\(703\) | 2.11745 | + | 3.66754i | 0.0798613 | + | 0.138324i | ||||
\(704\) | 2.79349 | − | 4.83847i | 0.105284 | − | 0.182357i | ||||
\(705\) | −15.7286 | − | 5.21640i | −0.592375 | − | 0.196461i | ||||
\(706\) | 10.6243 | − | 18.4018i | 0.399849 | − | 0.692559i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −10.2095 | + | 9.08094i | −0.383695 | + | 0.341282i | ||||
\(709\) | −29.2581 | −1.09881 | −0.549406 | − | 0.835555i | \(-0.685146\pi\) | ||||
−0.549406 | + | 0.835555i | \(0.685146\pi\) | |||||||
\(710\) | −8.77128 | − | 15.1923i | −0.329180 | − | 0.570157i | ||||
\(711\) | −2.47896 | + | 21.1145i | −0.0929682 | + | 0.791855i | ||||
\(712\) | 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 | ||||
\(716\) | 1.70768 | + | 2.95778i | 0.0638189 | + | 0.110538i | ||||
\(717\) | 3.92580 | + | 19.0374i | 0.146612 | + | 0.710966i | ||||
\(718\) | −17.0130 | + | 29.4674i | −0.634919 | + | 1.09971i | ||||
\(719\) | −0.537063 | + | 0.930220i | −0.0200291 | + | 0.0346913i | −0.875866 | − | 0.482554i | \(-0.839709\pi\) |
0.855837 | + | 0.517245i | \(0.173043\pi\) | |||||||
\(720\) | −49.3120 | + | 21.2410i | −1.83775 | + | 0.791605i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 15.4752 | + | 26.8039i | 0.575929 | + | 0.997538i | ||||
\(723\) | −2.44389 | − | 11.8512i | −0.0908891 | − | 0.440750i | ||||
\(724\) | 16.4794 | 0.612454 | ||||||||
\(725\) | −13.3869 | −0.497176 | ||||||||
\(726\) | 8.65885 | + | 2.87171i | 0.321360 | + | 0.106579i | ||||
\(727\) | −12.7163 | − | 22.0253i | −0.471623 | − | 0.816875i | 0.527850 | − | 0.849338i | \(-0.322998\pi\) |
−0.999473 | + | 0.0324628i | \(0.989665\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −9.27375 | + | 25.3574i | −0.343472 | + | 0.939163i | ||||
\(730\) | −32.4505 | + | 56.2059i | −1.20105 | + | 2.08027i | ||||
\(731\) | 10.7101 | − | 18.5505i | 0.396129 | − | 0.686116i | ||||
\(732\) | 4.45853 | − | 3.96570i | 0.164792 | − | 0.146576i | ||||
\(733\) | 5.69777 | + | 9.86883i | 0.210452 | + | 0.364513i | 0.951856 | − | 0.306545i | \(-0.0991731\pi\) |
−0.741404 | + | 0.671059i | \(0.765840\pi\) | |||||||
\(734\) | −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 | ||||
\(738\) | −22.1247 | − | 16.4890i | −0.814423 | − | 0.606968i | ||||
\(739\) | 14.9697 | + | 25.9283i | 0.550671 | + | 0.953790i | 0.998226 | + | 0.0595336i | \(0.0189613\pi\) |
−0.447556 | + | 0.894256i | \(0.647705\pi\) | |||||||
\(740\) | −15.1964 | −0.558630 | ||||||||
\(741\) | 1.46108 | + | 0.484566i | 0.0536740 | + | 0.0178010i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 9.50069 | − | 16.4557i | 0.348546 | − | 0.603700i | −0.637445 | − | 0.770496i | \(-0.720009\pi\) |
0.985991 | + | 0.166796i | \(0.0533420\pi\) | |||||||
\(744\) | 17.0803 | − | 15.1923i | 0.626195 | − | 0.556977i | ||||
\(745\) | 15.1298 | − | 26.2055i | 0.554311 | − | 0.960096i | ||||
\(746\) | −5.95922 | − | 10.3217i | −0.218183 | − | 0.377903i | ||||
\(747\) | 11.3276 | − | 4.87933i | 0.414455 | − | 0.178525i | ||||
\(748\) | 10.2705 | 0.375527 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −22.7033 | + | 20.1937i | −0.829006 | + | 0.737370i | ||||
\(751\) | −0.0130684 | − | 0.0226352i | −0.000476873 | − | 0.000825969i | 0.865787 | − | 0.500413i | \(-0.166818\pi\) |
−0.866264 | + | 0.499587i | \(0.833485\pi\) | |||||||
\(752\) | 13.2980 | 0.484929 | ||||||||
\(753\) | 5.97965 | − | 5.31867i | 0.217910 | − | 0.193823i | ||||
\(754\) | −2.88874 | −0.105202 | ||||||||
\(755\) | 53.2929 | 1.93953 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −13.6910 | −0.497607 | −0.248803 | − | 0.968554i | \(-0.580037\pi\) | ||||
−0.248803 | + | 0.968554i | \(0.580037\pi\) | |||||||
\(758\) | −32.4189 | −1.17751 | ||||||||
\(759\) | −21.3770 | + | 19.0141i | −0.775938 | + | 0.690168i | ||||
\(760\) | −6.02338 | −0.218491 | ||||||||
\(761\) | 7.32141 | + | 12.6811i | 0.265401 | + | 0.459688i | 0.967669 | − | 0.252225i | \(-0.0811623\pi\) |
−0.702268 | + | 0.711913i | \(0.747829\pi\) | |||||||
\(762\) | 21.9691 | − | 19.5407i | 0.795855 | − | 0.707883i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 4.11855 | 0.149004 | ||||||||
\(765\) | 35.4869 | + | 26.4474i | 1.28303 | + | 0.956208i | ||||
\(766\) | −2.72803 | − | 4.72509i | −0.0985677 | − | 0.170724i | ||||
\(767\) | 4.43818 | − | 7.68715i | 0.160253 | − | 0.277567i | ||||
\(768\) | 22.9610 | − | 20.4230i | 0.828534 | − | 0.736950i | ||||
\(769\) | −24.5672 | + | 42.5517i | −0.885918 | + | 1.53445i | −0.0412592 | + | 0.999148i | \(0.513137\pi\) |
−0.844658 | + | 0.535306i | \(0.820196\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 2.34108 | + | 0.776418i | 0.0843118 | + | 0.0279620i | ||||
\(772\) | −22.4820 | −0.809146 | ||||||||
\(773\) | −6.22067 | − | 10.7745i | −0.223742 | − | 0.387532i | 0.732199 | − | 0.681090i | \(-0.238494\pi\) |
−0.955941 | + | 0.293558i | \(0.905161\pi\) | |||||||
\(774\) | −24.3987 | + | 10.5097i | −0.876993 | + | 0.377762i | ||||
\(775\) | 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 | ||||
\(779\) | −2.40476 | − | 4.16516i | −0.0861594 | − | 0.149232i | ||||
\(780\) | −4.12729 | + | 3.67107i | −0.147781 | + | 0.131445i | ||||
\(781\) | −4.04256 | + | 7.00193i | −0.144654 | + | 0.250549i | ||||
\(782\) | 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 | ||||
\(786\) | −44.8552 | − | 14.8762i | −1.59993 | − | 0.530618i | ||||
\(787\) | −32.9133 | −1.17323 | −0.586617 | − | 0.809865i | \(-0.699541\pi\) | ||||
−0.586617 | + | 0.809865i | \(0.699541\pi\) | |||||||
\(788\) | 9.52784 | 0.339415 | ||||||||
\(789\) | 5.68911 | + | 27.5883i | 0.202538 | + | 0.982168i | ||||
\(790\) | −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 | ||||
\(794\) | −19.4931 | + | 33.7631i | −0.691785 | + | 1.19821i | ||||
\(795\) | 0.155205 | + | 0.752639i | 0.00550456 | + | 0.0266933i | ||||
\(796\) | 3.89554 | + | 6.74727i | 0.138074 | + | 0.239151i | ||||
\(797\) | −13.1989 | + | 22.8612i | −0.467530 | + | 0.809786i | −0.999312 | − | 0.0370953i | \(-0.988189\pi\) |
0.531781 | + | 0.846882i | \(0.321523\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.48074 | − | 9.49292i | −0.193895 | − | 0.335835i | ||||
\(800\) | 18.5080 | − | 32.0567i | 0.654356 | − | 1.13338i | ||||
\(801\) | 23.1149 | + | 17.2269i | 0.816725 | + | 0.608684i | ||||
\(802\) | 15.4752 | + | 26.8039i | 0.546450 | + | 0.946479i | ||||
\(803\) | 29.9120 | 1.05557 | ||||||||
\(804\) | 14.1577 | − | 12.5927i | 0.499303 | − | 0.444111i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 5.93818 | − | 10.2852i | 0.209163 | − | 0.362282i | ||||
\(807\) | 30.6668 | + | 10.1706i | 1.07952 | + | 0.358024i | ||||
\(808\) | 3.27197 | − | 5.66722i | 0.115108 | − | 0.199372i | ||||
\(809\) | −17.7960 | − | 30.8235i | −0.625673 | − | 1.08370i | −0.988410 | − | 0.151806i | \(-0.951491\pi\) |
0.362738 | − | 0.931891i | \(-0.381842\pi\) | |||||||
\(810\) | −15.6884 | − | 52.6002i | −0.551235 | − | 1.84818i | ||||
\(811\) | −37.8268 | −1.32828 | −0.664140 | − | 0.747608i | \(-0.731202\pi\) | ||||
−0.664140 | + | 0.747608i | \(0.731202\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 1.38626 | + | 6.72243i | 0.0486184 | + | 0.235766i | ||||
\(814\) | 11.3825 | + | 19.7151i | 0.398958 | + | 0.691016i | ||||
\(815\) | 36.9926 | 1.29579 | ||||||||
\(816\) | −33.7108 | − | 11.1802i | −1.18012 | − | 0.391385i | ||||
\(817\) | −4.63045 | −0.161999 | ||||||||
\(818\) | −26.0594 | −0.911146 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 17.2583 | 0.602686 | ||||||||
\(821\) | −18.3128 | −0.639119 | −0.319560 | − | 0.947566i | \(-0.603535\pi\) | ||||
−0.319560 | + | 0.947566i | \(0.603535\pi\) | |||||||
\(822\) | −7.72184 | − | 37.4456i | −0.269330 | − | 1.30607i | ||||
\(823\) | −36.0000 | −1.25488 | −0.627441 | − | 0.778664i | \(-0.715897\pi\) | ||||
−0.627441 | + | 0.778664i | \(0.715897\pi\) | |||||||
\(824\) | −14.9931 | − | 25.9688i | −0.522310 | − | 0.904668i | ||||
\(825\) | 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 | \(0.663188\pi\) | |||||||
\(828\) | −14.3894 | + | 6.19820i | −0.500067 | + | 0.215402i | ||||
\(829\) | 5.64214 | + | 9.77247i | 0.195960 | + | 0.339412i | 0.947215 | − | 0.320600i | \(-0.103885\pi\) |
−0.751255 | + | 0.660012i | \(0.770551\pi\) | |||||||
\(830\) | −12.5371 | + | 21.7148i | −0.435168 | + | 0.753733i | ||||
\(831\) | −0.816393 | − | 3.95895i | −0.0283204 | − | 0.137334i | ||||
\(832\) | −0.993810 | + | 1.72133i | −0.0344542 | + | 0.0596764i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0.660706 | + | 3.20397i | 0.0228784 | + | 0.110944i | ||||
\(835\) | −43.6057 | −1.50904 | ||||||||
\(836\) | −1.11009 | − | 1.92274i | −0.0383934 | − | 0.0664993i | ||||
\(837\) | 20.8028 | + | 29.7585i | 0.719051 | + | 1.02860i | ||||
\(838\) | −8.98143 | + | 15.5563i | −0.310258 | + | 0.537383i | ||||
\(839\) | 1.02152 | + | 1.76933i | 0.0352669 | + | 0.0610840i | 0.883120 | − | 0.469147i | \(-0.155439\pi\) |
−0.847853 | + | 0.530231i | \(0.822105\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 13.0556 | − | 22.6130i | 0.450194 | − | 0.779759i | ||||
\(842\) | 30.7392 | + | 53.2418i | 1.05934 | + | 1.83483i | ||||
\(843\) | −46.0235 | − | 15.2637i | −1.58513 | − | 0.525709i | ||||
\(844\) | −4.67928 | + | 8.10474i | −0.161067 | + | 0.278977i | ||||
\(845\) | −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 | ||||
\(849\) | 13.3560 | − | 11.8797i | 0.458377 | − | 0.407709i | ||||
\(850\) | −55.0370 | −1.88775 | ||||||||
\(851\) | 28.0014 | 0.959875 | ||||||||
\(852\) | −3.30834 | + | 2.94265i | −0.113342 | + | 0.100814i | ||||
\(853\) | 24.2960 | + | 42.0818i | 0.831878 | + | 1.44085i | 0.896547 | + | 0.442948i | \(0.146067\pi\) |
−0.0646692 | + | 0.997907i | \(0.520599\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 1.11559 | − | 9.50206i | 0.0381525 | − | 0.324964i | ||||
\(856\) | −5.05563 | + | 8.75661i | −0.172798 | + | 0.299295i | ||||
\(857\) | 22.4487 | − | 38.8823i | 0.766833 | − | 1.32819i | −0.172439 | − | 0.985020i | \(-0.555165\pi\) |
0.939272 | − | 0.343173i | \(-0.111502\pi\) | |||||||
\(858\) | 7.85414 | + | 2.60483i | 0.268136 | + | 0.0889273i | ||||
\(859\) | −14.9065 | − | 25.8189i | −0.508605 | − | 0.880929i | −0.999950 | − | 0.00996438i | \(-0.996828\pi\) |
0.491346 | − | 0.870965i | \(-0.336505\pi\) | |||||||
\(860\) | 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 | \(-0.0888548\pi\) | |||||||
\(864\) | 13.9913 | + | 20.0145i | 0.475992 | + | 0.680907i | ||||
\(865\) | −11.8585 | − | 20.5395i | −0.403200 | − | 0.698363i | ||||
\(866\) | −69.9788 | −2.37798 | ||||||||
\(867\) | −0.0341093 | − | 0.165407i | −0.00115841 | − | 0.00561751i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −9.95970 | + | 17.2507i | −0.337860 | + | 0.585190i | ||||
\(870\) | 3.62612 | + | 17.5842i | 0.122937 | + | 0.596159i | ||||
\(871\) | −6.15452 | + | 10.6599i | −0.208538 | + | 0.361198i | ||||
\(872\) | −17.8145 | − | 30.8557i | −0.603276 | − | 1.04491i | ||||
\(873\) | −20.1724 | + | 8.68920i | −0.682732 | + | 0.294085i | ||||
\(874\) | −8.87636 | −0.300247 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 15.5480 | + | 5.15649i | 0.525318 | + | 0.174222i | ||||
\(877\) | 15.2658 | + | 26.4411i | 0.515489 | + | 0.892853i | 0.999838 | + | 0.0179782i | \(0.00572295\pi\) |
−0.484350 | + | 0.874875i | \(0.660944\pi\) | |||||||
\(878\) | −7.95186 | −0.268362 | ||||||||
\(879\) | −10.7379 | − | 52.0712i | −0.362179 | − | 1.75632i | ||||
\(880\) | −50.3077 | −1.69587 | ||||||||
\(881\) | −13.4079 | −0.451724 | −0.225862 | − | 0.974159i | \(-0.572520\pi\) | ||||
−0.225862 | + | 0.974159i | \(0.572520\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −14.1250 | −0.475345 | −0.237672 | − | 0.971345i | \(-0.576384\pi\) | ||||
−0.237672 | + | 0.971345i | \(0.576384\pi\) | |||||||
\(884\) | −3.65383 | −0.122892 | ||||||||
\(885\) | −52.3639 | − | 17.3665i | −1.76019 | − | 0.583768i | ||||
\(886\) | 51.2829 | 1.72288 | ||||||||
\(887\) | 19.9716 | + | 34.5918i | 0.670581 | + | 1.16148i | 0.977740 | + | 0.209822i | \(0.0672883\pi\) |
−0.307159 | + | 0.951658i | \(0.599378\pi\) | |||||||
\(888\) | −3.14833 | − | 15.2672i | −0.105651 | − | 0.512334i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −58.6067 | −1.96450 | ||||||||
\(891\) | −17.3795 | + | 18.3832i | −0.582236 | + | 0.615861i | ||||
\(892\) | 2.51849 | + | 4.36216i | 0.0843254 | + | 0.146056i | ||||
\(893\) | −1.18478 | + | 2.05209i | −0.0396471 | + | 0.0686707i | ||||
\(894\) | −23.5624 | − | 7.81448i | −0.788046 | − | 0.261355i | ||||
\(895\) | −6.89493 | + | 11.9424i | −0.230472 | + | 0.399189i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 7.60507 | − | 6.76443i | 0.253926 | − | 0.225858i | ||||
\(898\) | 0.567323 | 0.0189318 | ||||||||
\(899\) | −5.93818 | − | 10.2852i | −0.198049 | − | 0.343031i | ||||
\(900\) | 16.8381 | + | 12.5490i | 0.561271 | + | 0.418300i | ||||
\(901\) | −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 | ||||
\(905\) | 33.2687 | + | 57.6231i | 1.10589 | + | 1.91546i | ||||
\(906\) | −8.83007 | − | 42.8198i | −0.293360 | − | 1.42259i | ||||
\(907\) | −20.7101 | + | 35.8710i | −0.687669 | + | 1.19108i | 0.284921 | + | 0.958551i | \(0.408033\pi\) |
−0.972590 | + | 0.232527i | \(0.925301\pi\) | |||||||
\(908\) | 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 | 0.850832 | − | 0.525439i | \(-0.176099\pi\) |
−0.880459 | + | 0.474122i | \(0.842765\pi\) | |||||||
\(912\) | 1.55061 | + | 7.51941i | 0.0513459 | + | 0.248992i | ||||
\(913\) | 11.5563 | 0.382458 | ||||||||
\(914\) | −32.8182 | −1.08553 | ||||||||
\(915\) | 22.8676 | + | 7.58404i | 0.755980 | + | 0.250721i | ||||
\(916\) | −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 | \(-0.230083\pi\) | |||||||
\(920\) | −19.9134 | + | 34.4911i | −0.656526 | + | 1.13714i | ||||
\(921\) | −14.8102 | + | 13.1731i | −0.488013 | + | 0.434069i | ||||
\(922\) | −33.2341 | − | 57.5632i | −1.09451 | − | 1.89574i | ||||
\(923\) | 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 | ||||
\(927\) | 43.7435 | − | 18.8424i | 1.43672 | − | 0.618865i | ||||
\(928\) | −3.99381 | − | 6.91748i | −0.131103 | − | 0.227077i | ||||
\(929\) | 34.7352 | 1.13963 | 0.569813 | − | 0.821774i | \(-0.307016\pi\) | ||||
0.569813 | + | 0.821774i | \(0.307016\pi\) | |||||||
\(930\) | −70.0617 | − | 23.2359i | −2.29741 | − | 0.761937i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −3.98281 | + | 6.89843i | −0.130461 | + | 0.225965i | ||||
\(933\) | 15.4821 | − | 13.7708i | 0.506862 | − | 0.450835i | ||||
\(934\) | 10.4697 | − | 18.1341i | 0.342580 | − | 0.593367i | ||||
\(935\) | 20.7341 | + | 35.9126i | 0.678079 | + | 1.17447i | ||||
\(936\) | −4.54325 | − | 3.38597i | −0.148501 | − | 0.110674i | ||||
\(937\) | 11.6662 | 0.381118 | 0.190559 | − | 0.981676i | \(-0.438970\pi\) | ||||
0.190559 | + | 0.981676i | \(0.438970\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −17.5283 | + | 15.5908i | −0.572015 | + | 0.508786i | ||||
\(940\) | −4.25141 | − | 7.36366i | −0.138666 | − | 0.240176i | ||||
\(941\) | −50.3374 | −1.64095 | −0.820475 | − | 0.571682i | \(-0.806291\pi\) | ||||
−0.820475 | + | 0.571682i | \(0.806291\pi\) | |||||||
\(942\) | 6.35414 | − | 5.65178i | 0.207029 | − | 0.184145i | ||||
\(943\) | −31.8007 | −1.03557 | ||||||||
\(944\) | 44.2719 | 1.44093 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −24.8913 | −0.809287 | ||||||||
\(947\) | −32.3883 | −1.05248 | −0.526238 | − | 0.850337i | \(-0.676398\pi\) | ||||
−0.526238 | + | 0.850337i | \(0.676398\pi\) | |||||||
\(948\) | −8.15080 | + | 7.24983i | −0.264726 | + | 0.235464i | ||||
\(949\) | −10.6414 | −0.345436 | ||||||||
\(950\) | 5.94870 | + | 10.3034i | 0.193001 | + | 0.334288i | ||||
\(951\) | −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 | \(0.565086\pi\) | |||||||
\(954\) | 0.579014 | − | 0.249409i | 0.0187463 | − | 0.00807490i | ||||
\(955\) | 8.31453 | + | 14.4012i | 0.269052 | + | 0.466012i | ||||
\(956\) | −4.98693 | + | 8.63762i | −0.161289 | + | 0.279361i | ||||
\(957\) | 6.18292 | − | 5.49948i | 0.199865 | − | 0.177773i | ||||
\(958\) | −11.4635 | + | 19.8555i | −0.370370 | + | 0.641500i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 11.7255 | + | 3.88875i | 0.378438 | + | 0.125509i | ||||
\(961\) | 17.8268 | 0.575059 | ||||||||
\(962\) | −4.04944 | − | 7.01384i | −0.130559 | − | 0.226135i | ||||
\(963\) | −12.8775 | − | 9.59722i | −0.414970 | − | 0.309266i | ||||
\(964\) | 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 | 0.153127 | − | 0.988206i | \(-0.451065\pi\) |
0.779248 | − | 0.626715i | \(-0.215601\pi\) | |||||||
\(968\) | −2.92649 | − | 5.06882i | −0.0940609 | − | 0.162918i | ||||
\(969\) | 4.72872 | − | 4.20602i | 0.151908 | − | 0.135117i | ||||
\(970\) | 22.3262 | − | 38.6702i | 0.716852 | − | 1.24162i | ||||
\(971\) | −14.0185 | + | 24.2807i | −0.449875 | + | 0.779206i | −0.998377 | − | 0.0569428i | \(-0.981865\pi\) |
0.548503 | + | 0.836149i | \(0.315198\pi\) | |||||||
\(972\) | −12.2028 | + | 6.55941i | −0.391405 | + | 0.210393i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −6.41095 | − | 11.1041i | −0.205420 | − | 0.355798i | ||||
\(975\) | −12.9487 | − | 4.29443i | −0.414690 | − | 0.137532i | ||||
\(976\) | −19.3338 | −0.618860 | ||||||||
\(977\) | 9.84059 | 0.314829 | 0.157414 | − | 0.987533i | \(-0.449684\pi\) | ||||
0.157414 | + | 0.987533i | \(0.449684\pi\) | |||||||
\(978\) | −6.12928 | − | 29.7228i | −0.195993 | − | 0.950429i | ||||
\(979\) | 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 | ||||
\(983\) | 24.3447 | − | 42.1663i | 0.776476 | − | 1.34490i | −0.157485 | − | 0.987521i | \(-0.550339\pi\) |
0.933961 | − | 0.357374i | \(-0.116328\pi\) | |||||||
\(984\) | 3.57550 | + | 17.3387i | 0.113983 | + | 0.552739i | ||||
\(985\) | 19.2348 | + | 33.3157i | 0.612873 | + | 1.06153i | ||||
\(986\) | −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 | ||||
\(990\) | 5.99697 | − | 51.0791i | 0.190596 | − | 1.62340i | ||||
\(991\) | −1.43199 | − | 2.48028i | −0.0454886 | − | 0.0787886i | 0.842385 | − | 0.538877i | \(-0.181151\pi\) |
−0.887873 | + | 0.460088i | \(0.847818\pi\) | |||||||
\(992\) | 32.8392 | 1.04265 | ||||||||
\(993\) | 2.70032 | − | 2.40183i | 0.0856920 | − | 0.0762198i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −15.7286 | + | 27.2428i | −0.498631 | + | 0.863655i | ||||
\(996\) | 6.00688 | + | 1.99218i | 0.190335 | + | 0.0631247i | ||||
\(997\) | 25.4203 | − | 44.0292i | 0.805069 | − | 1.39442i | −0.111176 | − | 0.993801i | \(-0.535462\pi\) |
0.916245 | − | 0.400619i | \(-0.131205\pi\) | |||||||
\(998\) | 26.2298 | + | 45.4314i | 0.830290 | + | 1.43810i | ||||
\(999\) | 24.6676 | − | 2.13892i | 0.780448 | − | 0.0676725i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))