Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [77,2,Mod(23,77)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(77, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("77.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 77 = 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 77.e (of order \(3\), degree \(2\), 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: | \(0.614848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.1783323.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{5} + 5x^{4} - 2x^{3} + 19x^{2} - 12x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 67.1 | ||
Root | \(1.09935 - 1.90412i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 77.67 |
Dual form | 77.2.e.b.23.1 |
$q$-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 \(\left(\mathbb{Z}/77\mathbb{Z}\right)^\times\).
\(n\) | \(45\) | \(57\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.917122 | − | 1.58850i | −0.648503 | − | 1.12324i | −0.983481 | − | 0.181014i | \(-0.942062\pi\) |
0.334978 | − | 0.942226i | \(-0.391271\pi\) | |||||||
\(3\) | 1.09935 | − | 1.90412i | 0.634707 | − | 1.09935i | −0.351870 | − | 0.936049i | \(-0.614454\pi\) |
0.986577 | − | 0.163297i | \(-0.0522127\pi\) | |||||||
\(4\) | −0.682224 | + | 1.18165i | −0.341112 | + | 0.590823i | ||||
\(5\) | 0.317776 | + | 0.550404i | 0.142114 | + | 0.246148i | 0.928292 | − | 0.371851i | \(-0.121277\pi\) |
−0.786179 | + | 0.617999i | \(0.787943\pi\) | |||||||
\(6\) | −4.03293 | −1.64644 | ||||||||
\(7\) | 0.317776 | + | 2.62660i | 0.120108 | + | 0.992761i | ||||
\(8\) | −1.16576 | −0.412157 | ||||||||
\(9\) | −0.917122 | − | 1.58850i | −0.305707 | − | 0.529500i | ||||
\(10\) | 0.582878 | − | 1.00958i | 0.184322 | − | 0.319256i | ||||
\(11\) | 0.500000 | − | 0.866025i | 0.150756 | − | 0.261116i | ||||
\(12\) | 1.50000 | + | 2.59808i | 0.433013 | + | 0.750000i | ||||
\(13\) | −1.80131 | −0.499593 | −0.249797 | − | 0.968298i | \(-0.580364\pi\) | ||||
−0.249797 | + | 0.968298i | \(0.580364\pi\) | |||||||
\(14\) | 3.88092 | − | 2.91370i | 1.03722 | − | 0.778718i | ||||
\(15\) | 1.39738 | 0.360803 | ||||||||
\(16\) | 2.43359 | + | 4.21510i | 0.608397 | + | 1.05377i | ||||
\(17\) | 1.41712 | − | 2.45453i | 0.343702 | − | 0.595310i | −0.641415 | − | 0.767194i | \(-0.721652\pi\) |
0.985117 | + | 0.171884i | \(0.0549855\pi\) | |||||||
\(18\) | −1.68222 | + | 2.91370i | −0.396504 | + | 0.686765i | ||||
\(19\) | 2.78157 | + | 4.81782i | 0.638136 | + | 1.10528i | 0.985841 | + | 0.167680i | \(0.0536275\pi\) |
−0.347706 | + | 0.937604i | \(0.613039\pi\) | |||||||
\(20\) | −0.867178 | −0.193907 | ||||||||
\(21\) | 5.35071 | + | 2.28245i | 1.16762 | + | 0.498073i | ||||
\(22\) | −1.83424 | −0.391062 | ||||||||
\(23\) | −1.08288 | − | 1.87560i | −0.225796 | − | 0.391090i | 0.730762 | − | 0.682632i | \(-0.239165\pi\) |
−0.956558 | + | 0.291542i | \(0.905832\pi\) | |||||||
\(24\) | −1.28157 | + | 2.21974i | −0.261599 | + | 0.453103i | ||||
\(25\) | 2.29804 | − | 3.98032i | 0.459607 | − | 0.796063i | ||||
\(26\) | 1.65202 | + | 2.86138i | 0.323988 | + | 0.561163i | ||||
\(27\) | 2.56314 | 0.493276 | ||||||||
\(28\) | −3.32051 | − | 1.41643i | −0.627517 | − | 0.267680i | ||||
\(29\) | −10.4303 | −1.93686 | −0.968431 | − | 0.249283i | \(-0.919805\pi\) | ||||
−0.968431 | + | 0.249283i | \(0.919805\pi\) | |||||||
\(30\) | −1.28157 | − | 2.21974i | −0.233982 | − | 0.405268i | ||||
\(31\) | −3.21516 | + | 5.56882i | −0.577460 | + | 1.00019i | 0.418310 | + | 0.908304i | \(0.362623\pi\) |
−0.995770 | + | 0.0918849i | \(0.970711\pi\) | |||||||
\(32\) | 3.29804 | − | 5.71237i | 0.583016 | − | 1.00981i | ||||
\(33\) | −1.09935 | − | 1.90412i | −0.191372 | − | 0.331465i | ||||
\(34\) | −5.19869 | −0.891568 | ||||||||
\(35\) | −1.34471 | + | 1.00958i | −0.227297 | + | 0.170649i | ||||
\(36\) | 2.50273 | 0.417122 | ||||||||
\(37\) | −3.03293 | − | 5.25320i | −0.498611 | − | 0.863620i | 0.501387 | − | 0.865223i | \(-0.332823\pi\) |
−0.999999 | + | 0.00160274i | \(0.999490\pi\) | |||||||
\(38\) | 5.10208 | − | 8.83705i | 0.827666 | − | 1.43356i | ||||
\(39\) | −1.98026 | + | 3.42991i | −0.317096 | + | 0.549226i | ||||
\(40\) | −0.370450 | − | 0.641637i | −0.0585732 | − | 0.101452i | ||||
\(41\) | 7.53566 | 1.17687 | 0.588436 | − | 0.808543i | \(-0.299744\pi\) | ||||
0.588436 | + | 0.808543i | \(0.299744\pi\) | |||||||
\(42\) | −1.28157 | − | 10.5929i | −0.197750 | − | 1.63452i | ||||
\(43\) | −4.86718 | −0.742238 | −0.371119 | − | 0.928585i | \(-0.621026\pi\) | ||||
−0.371119 | + | 0.928585i | \(0.621026\pi\) | |||||||
\(44\) | 0.682224 | + | 1.18165i | 0.102849 | + | 0.178140i | ||||
\(45\) | 0.582878 | − | 1.00958i | 0.0868904 | − | 0.150499i | ||||
\(46\) | −1.98626 | + | 3.44031i | −0.292858 | + | 0.507246i | ||||
\(47\) | 1.41712 | + | 2.45453i | 0.206708 | + | 0.358030i | 0.950676 | − | 0.310187i | \(-0.100392\pi\) |
−0.743967 | + | 0.668216i | \(0.767058\pi\) | |||||||
\(48\) | 10.7014 | 1.54462 | ||||||||
\(49\) | −6.79804 | + | 1.66934i | −0.971148 | + | 0.238477i | ||||
\(50\) | −8.43032 | −1.19223 | ||||||||
\(51\) | −3.11581 | − | 5.39675i | −0.436301 | − | 0.755696i | ||||
\(52\) | 1.22890 | − | 2.12851i | 0.170417 | − | 0.295171i | ||||
\(53\) | −3.73490 | + | 6.46903i | −0.513028 | + | 0.888590i | 0.486858 | + | 0.873481i | \(0.338143\pi\) |
−0.999886 | + | 0.0151089i | \(0.995190\pi\) | |||||||
\(54\) | −2.35071 | − | 4.07155i | −0.319891 | − | 0.554068i | ||||
\(55\) | 0.635552 | 0.0856978 | ||||||||
\(56\) | −0.370450 | − | 3.06197i | −0.0495034 | − | 0.409174i | ||||
\(57\) | 12.2316 | 1.62012 | ||||||||
\(58\) | 9.56587 | + | 16.5686i | 1.25606 | + | 2.17556i | ||||
\(59\) | −5.90338 | + | 10.2250i | −0.768555 | + | 1.33118i | 0.169791 | + | 0.985480i | \(0.445691\pi\) |
−0.938346 | + | 0.345696i | \(0.887643\pi\) | |||||||
\(60\) | −0.953328 | + | 1.65121i | −0.123074 | + | 0.213171i | ||||
\(61\) | 2.16576 | + | 3.75120i | 0.277297 | + | 0.480292i | 0.970712 | − | 0.240246i | \(-0.0772282\pi\) |
−0.693415 | + | 0.720538i | \(0.743895\pi\) | |||||||
\(62\) | 11.7948 | 1.49794 | ||||||||
\(63\) | 3.88092 | − | 2.91370i | 0.488949 | − | 0.367091i | ||||
\(64\) | −2.36445 | −0.295556 | ||||||||
\(65\) | −0.572413 | − | 0.991448i | −0.0709990 | − | 0.122974i | ||||
\(66\) | −2.01647 | + | 3.49262i | −0.248210 | + | 0.429912i | ||||
\(67\) | 0.801309 | − | 1.38791i | 0.0978954 | − | 0.169560i | −0.812918 | − | 0.582378i | \(-0.802122\pi\) |
0.910813 | + | 0.412818i | \(0.135456\pi\) | |||||||
\(68\) | 1.93359 | + | 3.34907i | 0.234482 | + | 0.406135i | ||||
\(69\) | −4.76183 | −0.573257 | ||||||||
\(70\) | 2.83697 | + | 1.21017i | 0.339083 | + | 0.144643i | ||||
\(71\) | 4.29204 | 0.509371 | 0.254685 | − | 0.967024i | \(-0.418028\pi\) | ||||
0.254685 | + | 0.967024i | \(0.418028\pi\) | |||||||
\(72\) | 1.06914 | + | 1.85181i | 0.125999 | + | 0.218237i | ||||
\(73\) | 7.99673 | − | 13.8507i | 0.935946 | − | 1.62111i | 0.163008 | − | 0.986625i | \(-0.447880\pi\) |
0.772938 | − | 0.634482i | \(-0.218786\pi\) | |||||||
\(74\) | −5.56314 | + | 9.63564i | −0.646702 | + | 1.12012i | ||||
\(75\) | −5.05267 | − | 8.75149i | −0.583432 | − | 1.01053i | ||||
\(76\) | −7.59061 | −0.870703 | ||||||||
\(77\) | 2.43359 | + | 1.03810i | 0.277333 | + | 0.118302i | ||||
\(78\) | 7.26456 | 0.822549 | ||||||||
\(79\) | −2.38092 | − | 4.12387i | −0.267874 | − | 0.463971i | 0.700439 | − | 0.713713i | \(-0.252988\pi\) |
−0.968313 | + | 0.249741i | \(0.919654\pi\) | |||||||
\(80\) | −1.54667 | + | 2.67891i | −0.172923 | + | 0.299512i | ||||
\(81\) | 5.56914 | − | 9.64603i | 0.618793 | − | 1.07178i | ||||
\(82\) | −6.91112 | − | 11.9704i | −0.763206 | − | 1.32191i | ||||
\(83\) | −9.23163 | −1.01330 | −0.506651 | − | 0.862151i | \(-0.669117\pi\) | ||||
−0.506651 | + | 0.862151i | \(0.669117\pi\) | |||||||
\(84\) | −6.34744 | + | 4.76550i | −0.692562 | + | 0.519959i | ||||
\(85\) | 1.80131 | 0.195379 | ||||||||
\(86\) | 4.46379 | + | 7.73152i | 0.481343 | + | 0.833711i | ||||
\(87\) | −11.4665 | + | 19.8606i | −1.22934 | + | 2.12928i | ||||
\(88\) | −0.582878 | + | 1.00958i | −0.0621350 | + | 0.107621i | ||||
\(89\) | −0.182224 | − | 0.315621i | −0.0193157 | − | 0.0334558i | 0.856206 | − | 0.516635i | \(-0.172815\pi\) |
−0.875522 | + | 0.483179i | \(0.839482\pi\) | |||||||
\(90\) | −2.13828 | −0.225395 | ||||||||
\(91\) | −0.572413 | − | 4.73131i | −0.0600051 | − | 0.495977i | ||||
\(92\) | 2.95506 | 0.308087 | ||||||||
\(93\) | 7.06914 | + | 12.2441i | 0.733036 | + | 1.26966i | ||||
\(94\) | 2.59935 | − | 4.50220i | 0.268102 | − | 0.464366i | ||||
\(95\) | −1.76783 | + | 3.06197i | −0.181376 | + | 0.314152i | ||||
\(96\) | −7.25136 | − | 12.5597i | −0.740089 | − | 1.28187i | ||||
\(97\) | −2.59607 | −0.263591 | −0.131796 | − | 0.991277i | \(-0.542074\pi\) | ||||
−0.131796 | + | 0.991277i | \(0.542074\pi\) | |||||||
\(98\) | 8.88637 | + | 9.26770i | 0.897659 | + | 0.936179i | ||||
\(99\) | −1.83424 | −0.184348 | ||||||||
\(100\) | 3.13555 | + | 5.43094i | 0.313555 | + | 0.543094i | ||||
\(101\) | 4.95006 | − | 8.57375i | 0.492549 | − | 0.853120i | −0.507414 | − | 0.861702i | \(-0.669399\pi\) |
0.999963 | + | 0.00858243i | \(0.00273191\pi\) | |||||||
\(102\) | −5.71516 | + | 9.89894i | −0.565885 | + | 0.980142i | ||||
\(103\) | −3.11581 | − | 5.39675i | −0.307010 | − | 0.531757i | 0.670697 | − | 0.741732i | \(-0.265995\pi\) |
−0.977707 | + | 0.209975i | \(0.932662\pi\) | |||||||
\(104\) | 2.09989 | 0.205911 | ||||||||
\(105\) | 0.444055 | + | 3.67036i | 0.0433353 | + | 0.358191i | ||||
\(106\) | 13.7014 | 1.33080 | ||||||||
\(107\) | −5.54940 | − | 9.61185i | −0.536481 | − | 0.929212i | −0.999090 | − | 0.0426499i | \(-0.986420\pi\) |
0.462609 | − | 0.886562i | \(-0.346913\pi\) | |||||||
\(108\) | −1.74864 | + | 3.02873i | −0.168263 | + | 0.291439i | ||||
\(109\) | 7.15202 | − | 12.3877i | 0.685039 | − | 1.18652i | −0.288385 | − | 0.957514i | \(-0.593118\pi\) |
0.973424 | − | 0.229008i | \(-0.0735483\pi\) | |||||||
\(110\) | −0.582878 | − | 1.00958i | −0.0555753 | − | 0.0962592i | ||||
\(111\) | −13.3370 | −1.26589 | ||||||||
\(112\) | −10.2980 | + | 7.73152i | −0.973073 | + | 0.730560i | ||||
\(113\) | −8.68942 | −0.817432 | −0.408716 | − | 0.912662i | \(-0.634023\pi\) | ||||
−0.408716 | + | 0.912662i | \(0.634023\pi\) | |||||||
\(114\) | −11.2179 | − | 19.4300i | −1.05065 | − | 1.81978i | ||||
\(115\) | 0.688225 | − | 1.19204i | 0.0641774 | − | 0.111158i | ||||
\(116\) | 7.11581 | − | 12.3249i | 0.660687 | − | 1.14434i | ||||
\(117\) | 1.65202 | + | 2.86138i | 0.152729 | + | 0.264535i | ||||
\(118\) | 21.6565 | 1.99364 | ||||||||
\(119\) | 6.89738 | + | 2.94222i | 0.632282 | + | 0.269713i | ||||
\(120\) | −1.62901 | −0.148707 | ||||||||
\(121\) | −0.500000 | − | 0.866025i | −0.0454545 | − | 0.0787296i | ||||
\(122\) | 3.97252 | − | 6.88061i | 0.359655 | − | 0.622942i | ||||
\(123\) | 8.28430 | − | 14.3488i | 0.746970 | − | 1.29379i | ||||
\(124\) | −4.38692 | − | 7.59836i | −0.393957 | − | 0.682353i | ||||
\(125\) | 6.09880 | 0.545494 | ||||||||
\(126\) | −8.18768 | − | 3.49262i | −0.729417 | − | 0.311148i | ||||
\(127\) | 20.9989 | 1.86335 | 0.931676 | − | 0.363290i | \(-0.118346\pi\) | ||||
0.931676 | + | 0.363290i | \(0.118346\pi\) | |||||||
\(128\) | −4.42759 | − | 7.66881i | −0.391347 | − | 0.677833i | ||||
\(129\) | −5.35071 | + | 9.26770i | −0.471104 | + | 0.815976i | ||||
\(130\) | −1.04994 | + | 1.81856i | −0.0920862 | + | 0.159498i | ||||
\(131\) | 6.85071 | + | 11.8658i | 0.598549 | + | 1.03672i | 0.993035 | + | 0.117816i | \(0.0375893\pi\) |
−0.394486 | + | 0.918902i | \(0.629077\pi\) | |||||||
\(132\) | 3.00000 | 0.261116 | ||||||||
\(133\) | −11.7706 | + | 8.83705i | −1.02064 | + | 0.766270i | ||||
\(134\) | −2.93959 | −0.253942 | ||||||||
\(135\) | 0.814504 | + | 1.41076i | 0.0701013 | + | 0.121419i | ||||
\(136\) | −1.65202 | + | 2.86138i | −0.141659 | + | 0.245361i | ||||
\(137\) | −3.63228 | + | 6.29129i | −0.310327 | + | 0.537501i | −0.978433 | − | 0.206564i | \(-0.933772\pi\) |
0.668106 | + | 0.744066i | \(0.267105\pi\) | |||||||
\(138\) | 4.36718 | + | 7.56417i | 0.371759 | + | 0.643905i | ||||
\(139\) | −2.60262 | −0.220751 | −0.110376 | − | 0.993890i | \(-0.535205\pi\) | ||||
−0.110376 | + | 0.993890i | \(0.535205\pi\) | |||||||
\(140\) | −0.275568 | − | 2.27773i | −0.0232898 | − | 0.192503i | ||||
\(141\) | 6.23163 | 0.524798 | ||||||||
\(142\) | −3.93632 | − | 6.81790i | −0.330328 | − | 0.572146i | ||||
\(143\) | −0.900654 | + | 1.55998i | −0.0753165 | + | 0.130452i | ||||
\(144\) | 4.46379 | − | 7.73152i | 0.371983 | − | 0.644293i | ||||
\(145\) | −3.31450 | − | 5.74089i | −0.275255 | − | 0.476755i | ||||
\(146\) | −29.3359 | −2.42786 | ||||||||
\(147\) | −4.29476 | + | 14.7795i | −0.354226 | + | 1.21899i | ||||
\(148\) | 8.27656 | 0.680329 | ||||||||
\(149\) | 0.500000 | + | 0.866025i | 0.0409616 | + | 0.0709476i | 0.885779 | − | 0.464107i | \(-0.153625\pi\) |
−0.844818 | + | 0.535054i | \(0.820291\pi\) | |||||||
\(150\) | −9.26783 | + | 16.0524i | −0.756715 | + | 1.31067i | ||||
\(151\) | −0.867720 | + | 1.50294i | −0.0706140 | + | 0.122307i | −0.899171 | − | 0.437598i | \(-0.855829\pi\) |
0.828557 | + | 0.559905i | \(0.189163\pi\) | |||||||
\(152\) | −3.24263 | − | 5.61641i | −0.263012 | − | 0.455551i | ||||
\(153\) | −5.19869 | −0.420289 | ||||||||
\(154\) | −0.582878 | − | 4.81782i | −0.0469697 | − | 0.388231i | ||||
\(155\) | −4.08680 | −0.328260 | ||||||||
\(156\) | −2.70196 | − | 4.67994i | −0.216330 | − | 0.374695i | ||||
\(157\) | 3.96980 | − | 6.87589i | 0.316824 | − | 0.548756i | −0.662999 | − | 0.748620i | \(-0.730717\pi\) |
0.979824 | + | 0.199864i | \(0.0640502\pi\) | |||||||
\(158\) | −4.36718 | + | 7.56417i | −0.347434 | + | 0.601773i | ||||
\(159\) | 8.21189 | + | 14.2234i | 0.651245 | + | 1.12799i | ||||
\(160\) | 4.19215 | 0.331418 | ||||||||
\(161\) | 4.58234 | − | 3.44031i | 0.361139 | − | 0.271134i | ||||
\(162\) | −20.4303 | −1.60516 | ||||||||
\(163\) | 8.00273 | + | 13.8611i | 0.626822 | + | 1.08569i | 0.988185 | + | 0.153263i | \(0.0489781\pi\) |
−0.361363 | + | 0.932425i | \(0.617689\pi\) | |||||||
\(164\) | −5.14101 | + | 8.90449i | −0.401446 | + | 0.695324i | ||||
\(165\) | 0.698691 | − | 1.21017i | 0.0543930 | − | 0.0942115i | ||||
\(166\) | 8.46652 | + | 14.6644i | 0.657130 | + | 1.13818i | ||||
\(167\) | 1.15921 | 0.0897026 | 0.0448513 | − | 0.998994i | \(-0.485719\pi\) | ||||
0.0448513 | + | 0.998994i | \(0.485719\pi\) | |||||||
\(168\) | −6.23763 | − | 2.66079i | −0.481243 | − | 0.205284i | ||||
\(169\) | −9.75529 | −0.750407 | ||||||||
\(170\) | −1.65202 | − | 2.86138i | −0.126704 | − | 0.219458i | ||||
\(171\) | 5.10208 | − | 8.83705i | 0.390165 | − | 0.675786i | ||||
\(172\) | 3.32051 | − | 5.75128i | 0.253186 | − | 0.438531i | ||||
\(173\) | 0.496728 | + | 0.860358i | 0.0377655 | + | 0.0654118i | 0.884290 | − | 0.466937i | \(-0.154643\pi\) |
−0.846525 | + | 0.532349i | \(0.821309\pi\) | |||||||
\(174\) | 42.0648 | 3.18892 | ||||||||
\(175\) | 11.1850 | + | 4.77117i | 0.845503 | + | 0.360667i | ||||
\(176\) | 4.86718 | 0.366877 | ||||||||
\(177\) | 12.9797 | + | 22.4815i | 0.975615 | + | 1.68982i | ||||
\(178\) | −0.334243 | + | 0.578926i | −0.0250526 | + | 0.0433924i | ||||
\(179\) | 9.83097 | − | 17.0277i | 0.734801 | − | 1.27271i | −0.220009 | − | 0.975498i | \(-0.570609\pi\) |
0.954810 | − | 0.297215i | \(-0.0960579\pi\) | |||||||
\(180\) | 0.795307 | + | 1.37751i | 0.0592787 | + | 0.102674i | ||||
\(181\) | −23.8726 | −1.77444 | −0.887220 | − | 0.461347i | \(-0.847366\pi\) | ||||
−0.887220 | + | 0.461347i | \(0.847366\pi\) | |||||||
\(182\) | −6.99073 | + | 5.24847i | −0.518187 | + | 0.389042i | ||||
\(183\) | 9.52366 | 0.704009 | ||||||||
\(184\) | 1.26237 | + | 2.18649i | 0.0930634 | + | 0.161190i | ||||
\(185\) | 1.92759 | − | 3.33868i | 0.141719 | − | 0.245465i | ||||
\(186\) | 12.9665 | − | 22.4587i | 0.950752 | − | 1.64675i | ||||
\(187\) | −1.41712 | − | 2.45453i | −0.103630 | − | 0.179493i | ||||
\(188\) | −3.86718 | −0.282043 | ||||||||
\(189\) | 0.814504 | + | 6.73234i | 0.0592465 | + | 0.489705i | ||||
\(190\) | 6.48527 | 0.470491 | ||||||||
\(191\) | 5.56587 | + | 9.64037i | 0.402732 | + | 0.697553i | 0.994055 | − | 0.108883i | \(-0.0347273\pi\) |
−0.591322 | + | 0.806435i | \(0.701394\pi\) | |||||||
\(192\) | −2.59935 | + | 4.50220i | −0.187592 | + | 0.324918i | ||||
\(193\) | −1.80731 | + | 3.13035i | −0.130093 | + | 0.225328i | −0.923712 | − | 0.383087i | \(-0.874861\pi\) |
0.793619 | + | 0.608415i | \(0.208194\pi\) | |||||||
\(194\) | 2.38092 | + | 4.12387i | 0.170940 | + | 0.296076i | ||||
\(195\) | −2.51712 | −0.180255 | ||||||||
\(196\) | 2.66521 | − | 9.17174i | 0.190372 | − | 0.655124i | ||||
\(197\) | 2.41831 | 0.172298 | 0.0861489 | − | 0.996282i | \(-0.472544\pi\) | ||||
0.0861489 | + | 0.996282i | \(0.472544\pi\) | |||||||
\(198\) | 1.68222 | + | 2.91370i | 0.119550 | + | 0.207067i | ||||
\(199\) | 9.24809 | − | 16.0182i | 0.655580 | − | 1.13550i | −0.326168 | − | 0.945312i | \(-0.605758\pi\) |
0.981748 | − | 0.190186i | \(-0.0609091\pi\) | |||||||
\(200\) | −2.67895 | + | 4.64008i | −0.189431 | + | 0.328103i | ||||
\(201\) | −1.76183 | − | 3.05158i | −0.124270 | − | 0.215242i | ||||
\(202\) | −18.1592 | −1.27768 | ||||||||
\(203\) | −3.31450 | − | 27.3963i | −0.232633 | − | 1.92284i | ||||
\(204\) | 8.50273 | 0.595310 | ||||||||
\(205\) | 2.39465 | + | 4.14766i | 0.167250 | + | 0.289685i | ||||
\(206\) | −5.71516 | + | 9.89894i | −0.398194 | + | 0.689692i | ||||
\(207\) | −1.98626 | + | 3.44031i | −0.138055 | + | 0.239118i | ||||
\(208\) | −4.38364 | − | 7.59270i | −0.303951 | − | 0.526459i | ||||
\(209\) | 5.56314 | 0.384810 | ||||||||
\(210\) | 5.42312 | − | 4.07155i | 0.374231 | − | 0.280964i | ||||
\(211\) | −7.85517 | −0.540773 | −0.270386 | − | 0.962752i | \(-0.587151\pi\) | ||||
−0.270386 | + | 0.962752i | \(0.587151\pi\) | |||||||
\(212\) | −5.09607 | − | 8.82666i | −0.350000 | − | 0.606217i | ||||
\(213\) | 4.71843 | − | 8.17256i | 0.323302 | − | 0.559975i | ||||
\(214\) | −10.1790 | + | 17.6305i | −0.695819 | + | 1.20519i | ||||
\(215\) | −1.54667 | − | 2.67891i | −0.105482 | − | 0.182700i | ||||
\(216\) | −2.98800 | −0.203307 | ||||||||
\(217\) | −15.6487 | − | 6.67529i | −1.06231 | − | 0.453148i | ||||
\(218\) | −26.2371 | −1.77700 | ||||||||
\(219\) | −17.5823 | − | 30.4535i | −1.18810 | − | 2.05786i | ||||
\(220\) | −0.433589 | + | 0.750998i | −0.0292326 | + | 0.0506323i | ||||
\(221\) | −2.55267 | + | 4.42136i | −0.171711 | + | 0.297413i | ||||
\(222\) | 12.2316 | + | 21.1858i | 0.820933 | + | 1.42190i | ||||
\(223\) | 20.3370 | 1.36186 | 0.680932 | − | 0.732346i | \(-0.261575\pi\) | ||||
0.680932 | + | 0.732346i | \(0.261575\pi\) | |||||||
\(224\) | 16.0521 | + | 6.84736i | 1.07253 | + | 0.457509i | ||||
\(225\) | −8.43032 | −0.562021 | ||||||||
\(226\) | 7.96925 | + | 13.8032i | 0.530107 | + | 0.918172i | ||||
\(227\) | −3.60981 | + | 6.25238i | −0.239592 | + | 0.414985i | −0.960597 | − | 0.277944i | \(-0.910347\pi\) |
0.721006 | + | 0.692929i | \(0.243680\pi\) | |||||||
\(228\) | −8.34471 | + | 14.4535i | −0.552642 | + | 0.957204i | ||||
\(229\) | −6.03566 | − | 10.4541i | −0.398848 | − | 0.690825i | 0.594736 | − | 0.803921i | \(-0.297257\pi\) |
−0.993584 | + | 0.113096i | \(0.963923\pi\) | |||||||
\(230\) | −2.52475 | −0.166477 | ||||||||
\(231\) | 4.65202 | − | 3.49262i | 0.306080 | − | 0.229798i | ||||
\(232\) | 12.1592 | 0.798291 | ||||||||
\(233\) | 3.77110 | + | 6.53174i | 0.247053 | + | 0.427909i | 0.962707 | − | 0.270547i | \(-0.0872044\pi\) |
−0.715654 | + | 0.698455i | \(0.753871\pi\) | |||||||
\(234\) | 3.03020 | − | 5.24847i | 0.198091 | − | 0.343103i | ||||
\(235\) | −0.900654 | + | 1.55998i | −0.0587522 | + | 0.101762i | ||||
\(236\) | −8.05486 | − | 13.9514i | −0.524327 | − | 0.908161i | ||||
\(237\) | −10.4698 | −0.680086 | ||||||||
\(238\) | −1.65202 | − | 13.6549i | −0.107084 | − | 0.885114i | ||||
\(239\) | −9.84625 | −0.636901 | −0.318450 | − | 0.947940i | \(-0.603162\pi\) | ||||
−0.318450 | + | 0.947940i | \(0.603162\pi\) | |||||||
\(240\) | 3.40065 | + | 5.89011i | 0.219511 | + | 0.380205i | ||||
\(241\) | 0.837515 | − | 1.45062i | 0.0539491 | − | 0.0934426i | −0.837790 | − | 0.545993i | \(-0.816152\pi\) |
0.891739 | + | 0.452551i | \(0.149486\pi\) | |||||||
\(242\) | −0.917122 | + | 1.58850i | −0.0589548 | + | 0.102113i | ||||
\(243\) | −8.40011 | − | 14.5494i | −0.538867 | − | 0.933346i | ||||
\(244\) | −5.91013 | −0.378357 | ||||||||
\(245\) | −3.07906 | − | 3.21119i | −0.196714 | − | 0.205156i | ||||
\(246\) | −30.3908 | −1.93765 | ||||||||
\(247\) | −5.01047 | − | 8.67838i | −0.318808 | − | 0.552192i | ||||
\(248\) | 3.74809 | − | 6.49189i | 0.238004 | − | 0.412235i | ||||
\(249\) | −10.1487 | + | 17.5781i | −0.643151 | + | 1.11397i | ||||
\(250\) | −5.59334 | − | 9.68796i | −0.353754 | − | 0.612720i | ||||
\(251\) | 19.7738 | 1.24811 | 0.624057 | − | 0.781379i | \(-0.285483\pi\) | ||||
0.624057 | + | 0.781379i | \(0.285483\pi\) | |||||||
\(252\) | 0.795307 | + | 6.57367i | 0.0500997 | + | 0.414102i | ||||
\(253\) | −2.16576 | −0.136160 | ||||||||
\(254\) | −19.2586 | − | 33.3568i | −1.20839 | − | 2.09299i | ||||
\(255\) | 1.98026 | − | 3.42991i | 0.124009 | − | 0.214789i | ||||
\(256\) | −10.4857 | + | 18.1618i | −0.655358 | + | 1.13511i | ||||
\(257\) | −1.35998 | − | 2.35556i | −0.0848335 | − | 0.146936i | 0.820487 | − | 0.571665i | \(-0.193702\pi\) |
−0.905320 | + | 0.424730i | \(0.860369\pi\) | |||||||
\(258\) | 19.6290 | 1.22205 | ||||||||
\(259\) | 12.8342 | − | 9.63564i | 0.797481 | − | 0.598730i | ||||
\(260\) | 1.56205 | 0.0968745 | ||||||||
\(261\) | 9.56587 | + | 16.5686i | 0.592112 | + | 1.02557i | ||||
\(262\) | 12.5659 | − | 21.7647i | 0.776322 | − | 1.34463i | ||||
\(263\) | −6.34744 | + | 10.9941i | −0.391400 | + | 0.677924i | −0.992634 | − | 0.121148i | \(-0.961342\pi\) |
0.601235 | + | 0.799073i | \(0.294676\pi\) | |||||||
\(264\) | 1.28157 | + | 2.21974i | 0.0788752 | + | 0.136616i | ||||
\(265\) | −4.74744 | −0.291633 | ||||||||
\(266\) | 24.8327 | + | 10.5929i | 1.52259 | + | 0.649492i | ||||
\(267\) | −0.801309 | −0.0490393 | ||||||||
\(268\) | 1.09334 | + | 1.89373i | 0.0667866 | + | 0.115678i | ||||
\(269\) | 3.54667 | − | 6.14302i | 0.216244 | − | 0.374546i | −0.737412 | − | 0.675443i | \(-0.763953\pi\) |
0.953657 | + | 0.300896i | \(0.0972859\pi\) | |||||||
\(270\) | 1.49400 | − | 2.58768i | 0.0909219 | − | 0.157481i | ||||
\(271\) | 9.10808 | + | 15.7757i | 0.553276 | + | 0.958303i | 0.998035 | + | 0.0626524i | \(0.0199559\pi\) |
−0.444759 | + | 0.895650i | \(0.646711\pi\) | |||||||
\(272\) | 13.7948 | 0.836430 | ||||||||
\(273\) | −9.63828 | − | 4.11141i | −0.583335 | − | 0.248834i | ||||
\(274\) | 13.3250 | 0.804991 | ||||||||
\(275\) | −2.29804 | − | 3.98032i | −0.138577 | − | 0.240022i | ||||
\(276\) | 3.24864 | − | 5.62680i | 0.195545 | − | 0.338694i | ||||
\(277\) | −6.92432 | + | 11.9933i | −0.416042 | + | 0.720606i | −0.995537 | − | 0.0943700i | \(-0.969916\pi\) |
0.579495 | + | 0.814976i | \(0.303250\pi\) | |||||||
\(278\) | 2.38692 | + | 4.13426i | 0.143158 | + | 0.247956i | ||||
\(279\) | 11.7948 | 0.706134 | ||||||||
\(280\) | 1.56760 | − | 1.17692i | 0.0936822 | − | 0.0703344i | ||||
\(281\) | 21.0329 | 1.25472 | 0.627360 | − | 0.778730i | \(-0.284136\pi\) | ||||
0.627360 | + | 0.778730i | \(0.284136\pi\) | |||||||
\(282\) | −5.71516 | − | 9.89894i | −0.340333 | − | 0.589474i | ||||
\(283\) | −0.176223 | + | 0.305226i | −0.0104753 | + | 0.0181438i | −0.871216 | − | 0.490901i | \(-0.836668\pi\) |
0.860740 | + | 0.509044i | \(0.170001\pi\) | |||||||
\(284\) | −2.92813 | + | 5.07167i | −0.173753 | + | 0.300948i | ||||
\(285\) | 3.88692 | + | 6.73234i | 0.230241 | + | 0.398789i | ||||
\(286\) | 3.30404 | 0.195372 | ||||||||
\(287\) | 2.39465 | + | 19.7932i | 0.141352 | + | 1.16835i | ||||
\(288\) | −12.0988 | −0.712929 | ||||||||
\(289\) | 4.48353 | + | 7.76571i | 0.263737 | + | 0.456806i | ||||
\(290\) | −6.07961 | + | 10.5302i | −0.357007 | + | 0.618354i | ||||
\(291\) | −2.85398 | + | 4.94324i | −0.167303 | + | 0.289778i | ||||
\(292\) | 10.9111 | + | 18.8986i | 0.638525 | + | 1.10596i | ||||
\(293\) | −3.46325 | −0.202325 | −0.101163 | − | 0.994870i | \(-0.532256\pi\) | ||||
−0.101163 | + | 0.994870i | \(0.532256\pi\) | |||||||
\(294\) | 27.4160 | − | 6.73234i | 1.59894 | − | 0.392638i | ||||
\(295\) | −7.50381 | −0.436889 | ||||||||
\(296\) | 3.53566 | + | 6.12395i | 0.205506 | + | 0.355947i | ||||
\(297\) | 1.28157 | − | 2.21974i | 0.0743642 | − | 0.128803i | ||||
\(298\) | 0.917122 | − | 1.58850i | 0.0531274 | − | 0.0920194i | ||||
\(299\) | 1.95060 | + | 3.37854i | 0.112806 | + | 0.195386i | ||||
\(300\) | 13.7882 | 0.796063 | ||||||||
\(301\) | −1.54667 | − | 12.7841i | −0.0891487 | − | 0.736864i | ||||
\(302\) | 3.18322 | 0.183174 | ||||||||
\(303\) | −10.8836 | − | 18.8510i | −0.625249 | − | 1.08296i | ||||
\(304\) | −13.5384 | + | 23.4492i | −0.776480 | + | 1.34490i | ||||
\(305\) | −1.37645 | + | 2.38408i | −0.0788154 | + | 0.136512i | ||||
\(306\) | 4.76783 | + | 8.25813i | 0.272559 | + | 0.472086i | ||||
\(307\) | −6.51473 | −0.371815 | −0.185908 | − | 0.982567i | \(-0.559523\pi\) | ||||
−0.185908 | + | 0.982567i | \(0.559523\pi\) | |||||||
\(308\) | −2.88692 | + | 2.16743i | −0.164497 | + | 0.123501i | ||||
\(309\) | −13.7014 | −0.779447 | ||||||||
\(310\) | 3.74809 | + | 6.49189i | 0.212877 | + | 0.368714i | ||||
\(311\) | −5.81505 | + | 10.0720i | −0.329741 | + | 0.571128i | −0.982460 | − | 0.186472i | \(-0.940295\pi\) |
0.652719 | + | 0.757600i | \(0.273628\pi\) | |||||||
\(312\) | 2.30850 | − | 3.99844i | 0.130693 | − | 0.226367i | ||||
\(313\) | 13.5489 | + | 23.4673i | 0.765827 | + | 1.32645i | 0.939808 | + | 0.341702i | \(0.111003\pi\) |
−0.173982 | + | 0.984749i | \(0.555663\pi\) | |||||||
\(314\) | −14.5631 | −0.821845 | ||||||||
\(315\) | 2.83697 | + | 1.21017i | 0.159845 | + | 0.0681853i | ||||
\(316\) | 6.49727 | 0.365500 | ||||||||
\(317\) | −1.93086 | − | 3.34435i | −0.108448 | − | 0.187837i | 0.806694 | − | 0.590970i | \(-0.201255\pi\) |
−0.915142 | + | 0.403132i | \(0.867921\pi\) | |||||||
\(318\) | 15.0626 | − | 26.0892i | 0.844668 | − | 1.46301i | ||||
\(319\) | −5.21516 | + | 9.03292i | −0.291993 | + | 0.505746i | ||||
\(320\) | −0.751365 | − | 1.30140i | −0.0420026 | − | 0.0727506i | ||||
\(321\) | −24.4028 | −1.36203 | ||||||||
\(322\) | −9.66749 | − | 4.12387i | −0.538748 | − | 0.229814i | ||||
\(323\) | 15.7673 | 0.877315 | ||||||||
\(324\) | 7.59880 | + | 13.1615i | 0.422156 | + | 0.731195i | ||||
\(325\) | −4.13947 | + | 7.16978i | −0.229617 | + | 0.397708i | ||||
\(326\) | 14.6790 | − | 25.4247i | 0.812992 | − | 1.40814i | ||||
\(327\) | −15.7251 | − | 27.2366i | −0.869599 | − | 1.50619i | ||||
\(328\) | −8.78475 | −0.485057 | ||||||||
\(329\) | −5.99673 | + | 4.50220i | −0.330610 | + | 0.248214i | ||||
\(330\) | −2.56314 | −0.141096 | ||||||||
\(331\) | −3.07514 | − | 5.32630i | −0.169025 | − | 0.292760i | 0.769052 | − | 0.639186i | \(-0.220729\pi\) |
−0.938077 | + | 0.346426i | \(0.887395\pi\) | |||||||
\(332\) | 6.29804 | − | 10.9085i | 0.345650 | − | 0.598683i | ||||
\(333\) | −5.56314 | + | 9.63564i | −0.304858 | + | 0.528030i | ||||
\(334\) | −1.06314 | − | 1.84141i | −0.0581724 | − | 0.100758i | ||||
\(335\) | 1.01855 | 0.0556491 | ||||||||
\(336\) | 3.40065 | + | 28.1083i | 0.185521 | + | 1.53344i | ||||
\(337\) | −11.7607 | −0.640649 | −0.320324 | − | 0.947308i | \(-0.603792\pi\) | ||||
−0.320324 | + | 0.947308i | \(0.603792\pi\) | |||||||
\(338\) | 8.94678 | + | 15.4963i | 0.486641 | + | 0.842887i | ||||
\(339\) | −9.55267 | + | 16.5457i | −0.518830 | + | 0.898640i | ||||
\(340\) | −1.22890 | + | 2.12851i | −0.0666462 | + | 0.115435i | ||||
\(341\) | 3.21516 | + | 5.56882i | 0.174111 | + | 0.301568i | ||||
\(342\) | −18.7169 | −1.01209 | ||||||||
\(343\) | −6.54494 | − | 17.3252i | −0.353393 | − | 0.935475i | ||||
\(344\) | 5.67395 | 0.305919 | ||||||||
\(345\) | −1.51320 | − | 2.62093i | −0.0814677 | − | 0.141106i | ||||
\(346\) | 0.911120 | − | 1.57811i | 0.0489821 | − | 0.0848395i | ||||
\(347\) | 0.420393 | − | 0.728143i | 0.0225679 | − | 0.0390888i | −0.854521 | − | 0.519417i | \(-0.826149\pi\) |
0.877089 | + | 0.480328i | \(0.159482\pi\) | |||||||
\(348\) | −15.6455 | − | 27.0988i | −0.838686 | − | 1.45265i | ||||
\(349\) | 9.13174 | 0.488811 | 0.244405 | − | 0.969673i | \(-0.421407\pi\) | ||||
0.244405 | + | 0.969673i | \(0.421407\pi\) | |||||||
\(350\) | −2.67895 | − | 22.1431i | −0.143196 | − | 1.18360i | ||||
\(351\) | −4.61701 | −0.246438 | ||||||||
\(352\) | −3.29804 | − | 5.71237i | −0.175786 | − | 0.304470i | ||||
\(353\) | −11.3639 | + | 19.6829i | −0.604840 | + | 1.04761i | 0.387237 | + | 0.921980i | \(0.373429\pi\) |
−0.992077 | + | 0.125633i | \(0.959904\pi\) | |||||||
\(354\) | 23.8080 | − | 41.2366i | 1.26538 | − | 2.19170i | ||||
\(355\) | 1.36391 | + | 2.36235i | 0.0723886 | + | 0.125381i | ||||
\(356\) | 0.497270 | 0.0263553 | ||||||||
\(357\) | 13.1850 | − | 9.89894i | 0.697822 | − | 0.523908i | ||||
\(358\) | −36.0648 | −1.90608 | ||||||||
\(359\) | 13.1093 | + | 22.7059i | 0.691881 | + | 1.19837i | 0.971221 | + | 0.238180i | \(0.0765510\pi\) |
−0.279340 | + | 0.960192i | \(0.590116\pi\) | |||||||
\(360\) | −0.679494 | + | 1.17692i | −0.0358125 | + | 0.0620291i | ||||
\(361\) | −5.97426 | + | 10.3477i | −0.314435 | + | 0.544617i | ||||
\(362\) | 21.8941 | + | 37.9217i | 1.15073 | + | 1.99312i | ||||
\(363\) | −2.19869 | −0.115401 | ||||||||
\(364\) | 5.98126 | + | 2.55143i | 0.313503 | + | 0.133731i | ||||
\(365\) | 10.1647 | 0.532043 | ||||||||
\(366\) | −8.73436 | − | 15.1283i | −0.456552 | − | 0.790771i | ||||
\(367\) | 1.91112 | − | 3.31016i | 0.0997597 | − | 0.172789i | −0.811825 | − | 0.583900i | \(-0.801526\pi\) |
0.911585 | + | 0.411111i | \(0.134859\pi\) | |||||||
\(368\) | 5.27056 | − | 9.12888i | 0.274747 | − | 0.475876i | ||||
\(369\) | −6.91112 | − | 11.9704i | −0.359779 | − | 0.623155i | ||||
\(370\) | −7.07133 | −0.367621 | ||||||||
\(371\) | −18.1784 | − | 7.75437i | −0.943776 | − | 0.402587i | ||||
\(372\) | −19.2910 | −1.00019 | ||||||||
\(373\) | −7.55387 | − | 13.0837i | −0.391124 | − | 0.677447i | 0.601474 | − | 0.798893i | \(-0.294580\pi\) |
−0.992598 | + | 0.121445i | \(0.961247\pi\) | |||||||
\(374\) | −2.59935 | + | 4.50220i | −0.134409 | + | 0.232803i | ||||
\(375\) | 6.70469 | − | 11.6129i | 0.346229 | − | 0.599686i | ||||
\(376\) | −1.65202 | − | 2.86138i | −0.0851964 | − | 0.147564i | ||||
\(377\) | 18.7882 | 0.967643 | ||||||||
\(378\) | 9.94733 | − | 7.46821i | 0.511635 | − | 0.384123i | ||||
\(379\) | −11.3765 | −0.584369 | −0.292185 | − | 0.956362i | \(-0.594382\pi\) | ||||
−0.292185 | + | 0.956362i | \(0.594382\pi\) | |||||||
\(380\) | −2.41211 | − | 4.17791i | −0.123739 | − | 0.214322i | ||||
\(381\) | 23.0851 | − | 39.9845i | 1.18268 | − | 2.04847i | ||||
\(382\) | 10.2092 | − | 17.6828i | 0.522346 | − | 0.904730i | ||||
\(383\) | −4.44286 | − | 7.69526i | −0.227020 | − | 0.393210i | 0.729904 | − | 0.683550i | \(-0.239565\pi\) |
−0.956923 | + | 0.290340i | \(0.906231\pi\) | |||||||
\(384\) | −19.4698 | −0.993564 | ||||||||
\(385\) | 0.201963 | + | 1.66934i | 0.0102930 | + | 0.0850774i | ||||
\(386\) | 6.63009 | 0.337463 | ||||||||
\(387\) | 4.46379 | + | 7.73152i | 0.226907 | + | 0.393015i | ||||
\(388\) | 1.77110 | − | 3.06764i | 0.0899142 | − | 0.155736i | ||||
\(389\) | 9.94951 | − | 17.2331i | 0.504460 | − | 0.873751i | −0.495526 | − | 0.868593i | \(-0.665025\pi\) |
0.999987 | − | 0.00515807i | \(-0.00164187\pi\) | |||||||
\(390\) | 2.30850 | + | 3.99844i | 0.116896 | + | 0.202469i | ||||
\(391\) | −6.13828 | −0.310426 | ||||||||
\(392\) | 7.92486 | − | 1.94604i | 0.400266 | − | 0.0982901i | ||||
\(393\) | 30.1252 | 1.51962 | ||||||||
\(394\) | −2.21789 | − | 3.84149i | −0.111736 | − | 0.193532i | ||||
\(395\) | 1.51320 | − | 2.62093i | 0.0761371 | − | 0.131873i | ||||
\(396\) | 1.25136 | − | 2.16743i | 0.0628834 | − | 0.108917i | ||||
\(397\) | 17.4303 | + | 30.1902i | 0.874803 | + | 1.51520i | 0.856973 | + | 0.515361i | \(0.172342\pi\) |
0.0178296 | + | 0.999841i | \(0.494324\pi\) | |||||||
\(398\) | −33.9265 | −1.70058 | ||||||||
\(399\) | 3.88692 | + | 32.1276i | 0.194589 | + | 1.60839i | ||||
\(400\) | 22.3699 | 1.11850 | ||||||||
\(401\) | −5.69815 | − | 9.86948i | −0.284552 | − | 0.492858i | 0.687948 | − | 0.725760i | \(-0.258511\pi\) |
−0.972500 | + | 0.232901i | \(0.925178\pi\) | |||||||
\(402\) | −3.23163 | + | 5.59734i | −0.161179 | + | 0.279170i | ||||
\(403\) | 5.79149 | − | 10.0312i | 0.288495 | − | 0.499688i | ||||
\(404\) | 6.75409 | + | 11.6984i | 0.336029 | + | 0.582019i | ||||
\(405\) | 7.07896 | 0.351756 | ||||||||
\(406\) | −40.4792 | + | 30.3908i | −2.00895 | + | 1.50827i | ||||
\(407\) | −6.06587 | −0.300674 | ||||||||
\(408\) | 3.63228 | + | 6.29129i | 0.179825 | + | 0.311465i | ||||
\(409\) | 2.04394 | − | 3.54021i | 0.101066 | − | 0.175052i | −0.811058 | − | 0.584966i | \(-0.801108\pi\) |
0.912124 | + | 0.409914i | \(0.134441\pi\) | |||||||
\(410\) | 4.39238 | − | 7.60782i | 0.216924 | − | 0.375723i | ||||
\(411\) | 7.98626 | + | 13.8326i | 0.393933 | + | 0.682312i | ||||
\(412\) | 8.50273 | 0.418899 | ||||||||
\(413\) | −28.7328 | − | 12.2566i | −1.41385 | − | 0.603106i | ||||
\(414\) | 7.28658 | 0.358116 | ||||||||
\(415\) | −2.93359 | − | 5.08112i | −0.144004 | − | 0.249423i | ||||
\(416\) | −5.94078 | + | 10.2897i | −0.291271 | + | 0.504496i | ||||
\(417\) | −2.86118 | + | 4.95570i | −0.140112 | + | 0.242682i | ||||
\(418\) | −5.10208 | − | 8.83705i | −0.249551 | − | 0.432234i | ||||
\(419\) | 32.8002 | 1.60240 | 0.801198 | − | 0.598399i | \(-0.204196\pi\) | ||||
0.801198 | + | 0.598399i | \(0.204196\pi\) | |||||||
\(420\) | −4.64002 | − | 1.97929i | −0.226410 | − | 0.0965796i | ||||
\(421\) | −8.52128 | −0.415302 | −0.207651 | − | 0.978203i | \(-0.566582\pi\) | ||||
−0.207651 | + | 0.978203i | \(0.566582\pi\) | |||||||
\(422\) | 7.20415 | + | 12.4780i | 0.350693 | + | 0.607417i | ||||
\(423\) | 2.59935 | − | 4.50220i | 0.126385 | − | 0.218904i | ||||
\(424\) | 4.35398 | − | 7.54132i | 0.211448 | − | 0.366239i | ||||
\(425\) | −6.51320 | − | 11.2812i | −0.315936 | − | 0.547218i | ||||
\(426\) | −17.3095 | −0.838648 | ||||||||
\(427\) | −9.16467 | + | 6.88061i | −0.443510 | + | 0.332976i | ||||
\(428\) | 15.1437 | 0.732000 | ||||||||
\(429\) | 1.98026 | + | 3.42991i | 0.0956079 | + | 0.165598i | ||||
\(430\) | −2.83697 | + | 4.91378i | −0.136811 | + | 0.236964i | ||||
\(431\) | 8.36718 | − | 14.4924i | 0.403033 | − | 0.698073i | −0.591058 | − | 0.806629i | \(-0.701289\pi\) |
0.994090 | + | 0.108556i | \(0.0346227\pi\) | |||||||
\(432\) | 6.23763 | + | 10.8039i | 0.300108 | + | 0.519802i | ||||
\(433\) | −25.8661 | −1.24305 | −0.621523 | − | 0.783396i | \(-0.713486\pi\) | ||||
−0.621523 | + | 0.783396i | \(0.713486\pi\) | |||||||
\(434\) | 3.74809 | + | 30.9801i | 0.179914 | + | 1.48709i | ||||
\(435\) | −14.5751 | −0.698825 | ||||||||
\(436\) | 9.75856 | + | 16.9023i | 0.467350 | + | 0.809474i | ||||
\(437\) | 6.02420 | − | 10.4342i | 0.288177 | − | 0.499137i | ||||
\(438\) | −32.2503 | + | 55.8591i | −1.54098 | + | 2.66905i | ||||
\(439\) | 4.78430 | + | 8.28665i | 0.228342 | + | 0.395500i | 0.957317 | − | 0.289040i | \(-0.0933362\pi\) |
−0.728975 | + | 0.684541i | \(0.760003\pi\) | |||||||
\(440\) | −0.740899 | −0.0353210 | ||||||||
\(441\) | 8.88637 | + | 9.26770i | 0.423161 | + | 0.441319i | ||||
\(442\) | 9.36445 | 0.445421 | ||||||||
\(443\) | −9.51647 | − | 16.4830i | −0.452141 | − | 0.783131i | 0.546378 | − | 0.837539i | \(-0.316006\pi\) |
−0.998519 | + | 0.0544076i | \(0.982673\pi\) | |||||||
\(444\) | 9.09880 | − | 15.7596i | 0.431810 | − | 0.747917i | ||||
\(445\) | 0.115813 | − | 0.200594i | 0.00549005 | − | 0.00950905i | ||||
\(446\) | −18.6515 | − | 32.3053i | −0.883173 | − | 1.52970i | ||||
\(447\) | 2.19869 | 0.103995 | ||||||||
\(448\) | −0.751365 | − | 6.21046i | −0.0354986 | − | 0.293416i | ||||
\(449\) | 33.3424 | 1.57353 | 0.786763 | − | 0.617255i | \(-0.211755\pi\) | ||||
0.786763 | + | 0.617255i | \(0.211755\pi\) | |||||||
\(450\) | 7.73163 | + | 13.3916i | 0.364472 | + | 0.631285i | ||||
\(451\) | 3.76783 | − | 6.52608i | 0.177420 | − | 0.307301i | ||||
\(452\) | 5.92813 | − | 10.2678i | 0.278836 | − | 0.482958i | ||||
\(453\) | 1.90785 | + | 3.30449i | 0.0896385 | + | 0.155258i | ||||
\(454\) | 13.2425 | 0.621503 | ||||||||
\(455\) | 2.42224 | − | 1.81856i | 0.113556 | − | 0.0852552i | ||||
\(456\) | −14.2591 | −0.667744 | ||||||||
\(457\) | −5.98026 | − | 10.3581i | −0.279745 | − | 0.484532i | 0.691576 | − | 0.722303i | \(-0.256917\pi\) |
−0.971321 | + | 0.237771i | \(0.923583\pi\) | |||||||
\(458\) | −11.0709 | + | 19.1753i | −0.517308 | + | 0.896004i | ||||
\(459\) | 3.63228 | − | 6.29129i | 0.169540 | − | 0.293652i | ||||
\(460\) | 0.939048 | + | 1.62648i | 0.0437833 | + | 0.0758350i | ||||
\(461\) | 12.4896 | 0.581701 | 0.290850 | − | 0.956769i | \(-0.406062\pi\) | ||||
0.290850 | + | 0.956769i | \(0.406062\pi\) | |||||||
\(462\) | −9.81450 | − | 4.18658i | −0.456612 | − | 0.194777i | ||||
\(463\) | 12.3095 | 0.572071 | 0.286035 | − | 0.958219i | \(-0.407662\pi\) | ||||
0.286035 | + | 0.958219i | \(0.407662\pi\) | |||||||
\(464\) | −25.3831 | − | 43.9648i | −1.17838 | − | 2.04102i | ||||
\(465\) | −4.49281 | + | 7.78177i | −0.208349 | + | 0.360871i | ||||
\(466\) | 6.91712 | − | 11.9808i | 0.320429 | − | 0.555000i | ||||
\(467\) | −16.3804 | − | 28.3716i | −0.757993 | − | 1.31288i | −0.943872 | − | 0.330310i | \(-0.892847\pi\) |
0.185879 | − | 0.982573i | \(-0.440487\pi\) | |||||||
\(468\) | −4.50819 | −0.208391 | ||||||||
\(469\) | 3.90011 | + | 1.66367i | 0.180090 | + | 0.0768213i | ||||
\(470\) | 3.30404 | 0.152404 | ||||||||
\(471\) | −8.72835 | − | 15.1180i | −0.402181 | − | 0.696598i | ||||
\(472\) | 6.88191 | − | 11.9198i | 0.316766 | − | 0.548654i | ||||
\(473\) | −2.43359 | + | 4.21510i | −0.111897 | + | 0.193810i | ||||
\(474\) | 9.60208 | + | 16.6313i | 0.441038 | + | 0.763900i | ||||
\(475\) | 25.5686 | 1.17317 | ||||||||
\(476\) | −8.18222 | + | 6.14302i | −0.375032 | + | 0.281565i | ||||
\(477\) | 13.7014 | 0.627345 | ||||||||
\(478\) | 9.03020 | + | 15.6408i | 0.413032 | + | 0.715392i | ||||
\(479\) | −12.9890 | + | 22.4976i | −0.593482 | + | 1.02794i | 0.400277 | + | 0.916394i | \(0.368914\pi\) |
−0.993759 | + | 0.111547i | \(0.964419\pi\) | |||||||
\(480\) | 4.60862 | − | 7.98236i | 0.210354 | − | 0.364343i | ||||
\(481\) | 5.46325 | + | 9.46263i | 0.249103 | + | 0.431459i | ||||
\(482\) | −3.07241 | −0.139945 | ||||||||
\(483\) | −1.51320 | − | 12.5074i | −0.0688528 | − | 0.569107i | ||||
\(484\) | 1.36445 | 0.0620204 | ||||||||
\(485\) | −0.824970 | − | 1.42889i | −0.0374600 | − | 0.0648825i | ||||
\(486\) | −15.4078 | + | 26.6872i | −0.698914 | + | 1.21055i | ||||
\(487\) | −7.26783 | + | 12.5883i | −0.329337 | + | 0.570428i | −0.982380 | − | 0.186892i | \(-0.940159\pi\) |
0.653044 | + | 0.757320i | \(0.273492\pi\) | |||||||
\(488\) | −2.52475 | − | 4.37299i | −0.114290 | − | 0.197956i | ||||
\(489\) | 35.1911 | 1.59139 | ||||||||
\(490\) | −2.27711 | + | 7.83615i | −0.102869 | + | 0.354001i | ||||
\(491\) | −39.3952 | −1.77788 | −0.888941 | − | 0.458023i | \(-0.848558\pi\) | ||||
−0.888941 | + | 0.458023i | \(0.848558\pi\) | |||||||
\(492\) | 11.3035 | + | 19.5782i | 0.509601 | + | 0.882655i | ||||
\(493\) | −14.7810 | + | 25.6015i | −0.665704 | + | 1.15303i | ||||
\(494\) | −9.19041 | + | 15.9183i | −0.413496 | + | 0.716196i | ||||
\(495\) | −0.582878 | − | 1.00958i | −0.0261984 | − | 0.0453770i | ||||
\(496\) | −31.2975 | −1.40530 | ||||||||
\(497\) | 1.36391 | + | 11.2735i | 0.0611795 | + | 0.505683i | ||||
\(498\) | 37.2305 | 1.66834 | ||||||||
\(499\) | 13.1153 | + | 22.7163i | 0.587120 | + | 1.01692i | 0.994607 | + | 0.103711i | \(0.0330717\pi\) |
−0.407487 | + | 0.913211i | \(0.633595\pi\) | |||||||
\(500\) | −4.16075 | + | 7.20663i | −0.186074 | + | 0.322290i | ||||
\(501\) | 1.27438 | − | 2.20728i | 0.0569349 | − | 0.0986142i | ||||
\(502\) | −18.1350 | − | 31.4108i | −0.809405 | − | 1.40193i | ||||
\(503\) | 3.94613 | 0.175949 | 0.0879747 | − | 0.996123i | \(-0.471961\pi\) | ||||
0.0879747 | + | 0.996123i | \(0.471961\pi\) | |||||||
\(504\) | −4.52420 | + | 3.39666i | −0.201524 | + | 0.151299i | ||||
\(505\) | 6.29204 | 0.279992 | ||||||||
\(506\) | 1.98626 | + | 3.44031i | 0.0883001 | + | 0.152940i | ||||
\(507\) | −10.7244 | + | 18.5753i | −0.476289 | + | 0.824956i | ||||
\(508\) | −14.3260 | + | 24.8133i | −0.635612 | + | 1.10091i | ||||
\(509\) | −8.45279 | − | 14.6407i | −0.374663 | − | 0.648936i | 0.615613 | − | 0.788048i | \(-0.288908\pi\) |
−0.990277 | + | 0.139113i | \(0.955575\pi\) | |||||||
\(510\) | −7.26456 | −0.321680 | ||||||||
\(511\) | 38.9215 | + | 16.6028i | 1.72179 | + | 0.734463i | ||||
\(512\) | 20.7564 | 0.917311 | ||||||||
\(513\) | 7.12955 | + | 12.3487i | 0.314777 | + | 0.545210i | ||||
\(514\) | −2.49454 | + | 4.32067i | −0.110029 | + | 0.190577i | ||||
\(515\) | 1.98026 | − | 3.42991i | 0.0872607 | − | 0.151140i | ||||
\(516\) | −7.30077 | − | 12.6453i | −0.321398 | − | 0.556678i | ||||
\(517\) | 2.83424 | 0.124650 | ||||||||
\(518\) | −27.0768 | − | 11.5502i | −1.18969 | − | 0.507485i | ||||
\(519\) | 2.18430 | 0.0958803 | ||||||||
\(520\) | 0.667294 | + | 1.15579i | 0.0292628 | + | 0.0506846i | ||||
\(521\) | −0.778840 | + | 1.34899i | −0.0341216 | + | 0.0591004i | −0.882582 | − | 0.470159i | \(-0.844197\pi\) |
0.848460 | + | 0.529259i | \(0.177530\pi\) | |||||||
\(522\) | 17.5461 | − | 30.3908i | 0.767973 | − | 1.33017i | ||||
\(523\) | 6.25136 | + | 10.8277i | 0.273353 | + | 0.473461i | 0.969718 | − | 0.244226i | \(-0.0785339\pi\) |
−0.696365 | + | 0.717688i | \(0.745201\pi\) | |||||||
\(524\) | −18.6949 | −0.816689 | ||||||||
\(525\) | 21.3810 | − | 16.0524i | 0.933144 | − | 0.700582i | ||||
\(526\) | 23.2855 | 1.01530 | ||||||||
\(527\) | 9.11254 | + | 15.7834i | 0.396949 | + | 0.687535i | ||||
\(528\) | 5.35071 | − | 9.26770i | 0.232860 | − | 0.403325i | ||||
\(529\) | 9.15475 | − | 15.8565i | 0.398033 | − | 0.689413i | ||||
\(530\) | 4.35398 | + | 7.54132i | 0.189125 | + | 0.327574i | ||||
\(531\) | 21.6565 | 0.939811 | ||||||||
\(532\) | −2.41211 | − | 19.9375i | −0.104578 | − | 0.864400i | ||||
\(533\) | −13.5741 | −0.587958 | ||||||||
\(534\) | 0.734898 | + | 1.27288i | 0.0318021 | + | 0.0550829i | ||||
\(535\) | 3.52693 | − | 6.10883i | 0.152483 | − | 0.264108i | ||||
\(536\) | −0.934131 | + | 1.61796i | −0.0403483 | + | 0.0698853i | ||||
\(537\) | −21.6153 | − | 37.4387i | −0.932768 | − | 1.61560i | ||||
\(538\) | −13.0109 | −0.560941 | ||||||||
\(539\) | −1.95333 | + | 6.72194i | −0.0841358 | + | 0.289535i | ||||
\(540\) | −2.22270 | −0.0956497 | ||||||||
\(541\) | 8.28103 | + | 14.3432i | 0.356029 | + | 0.616661i | 0.987294 | − | 0.158907i | \(-0.0507970\pi\) |
−0.631264 | + | 0.775568i | \(0.717464\pi\) | |||||||
\(542\) | 16.7064 | − | 28.9364i | 0.717603 | − | 1.24292i | ||||
\(543\) | −26.2443 | + | 45.4564i | −1.12625 | + | 1.95072i | ||||
\(544\) | −9.34744 | − | 16.1902i | −0.400768 | − | 0.694151i | ||||
\(545\) | 9.09096 | 0.389414 | ||||||||
\(546\) | 2.30850 | + | 19.0811i | 0.0987948 | + | 0.816595i | ||||
\(547\) | −6.64448 | −0.284097 | −0.142049 | − | 0.989860i | \(-0.545369\pi\) | ||||
−0.142049 | + | 0.989860i | \(0.545369\pi\) | |||||||
\(548\) | −4.95606 | − | 8.58414i | −0.211712 | − | 0.366696i | ||||
\(549\) | 3.97252 | − | 6.88061i | 0.169543 | − | 0.293657i | ||||
\(550\) | −4.21516 | + | 7.30087i | −0.179735 | + | 0.311310i | ||||
\(551\) | −29.0127 | − | 50.2514i | −1.23598 | − | 2.14078i | ||||
\(552\) | 5.55114 | 0.236272 | ||||||||
\(553\) | 10.0751 | − | 7.56417i | 0.428439 | − | 0.321661i | ||||
\(554\) | 25.4018 | 1.07922 | ||||||||
\(555\) | −4.23817 | − | 7.34072i | −0.179900 | − | 0.311596i | ||||
\(556\) | 1.77557 | − | 3.07537i | 0.0753009 | − | 0.130425i | ||||
\(557\) | −6.55595 | + | 11.3552i | −0.277784 | + | 0.481137i | −0.970834 | − | 0.239753i | \(-0.922933\pi\) |
0.693049 | + | 0.720890i | \(0.256267\pi\) | |||||||
\(558\) | −10.8172 | − | 18.7360i | −0.457930 | − | 0.793158i | ||||
\(559\) | 8.76729 | 0.370817 | ||||||||
\(560\) | −7.52793 | − | 3.21119i | −0.318113 | − | 0.135698i | ||||
\(561\) | −6.23163 | −0.263099 | ||||||||
\(562\) | −19.2898 | − | 33.4108i | −0.813689 | − | 1.40935i | ||||
\(563\) | −15.2443 | + | 26.4039i | −0.642470 | + | 1.11279i | 0.342410 | + | 0.939551i | \(0.388757\pi\) |
−0.984880 | + | 0.173240i | \(0.944577\pi\) | |||||||
\(564\) | −4.25136 | + | 7.36358i | −0.179015 | + | 0.310063i | ||||
\(565\) | −2.76129 | − | 4.78269i | −0.116168 | − | 0.201209i | ||||
\(566\) | 0.646470 | 0.0271732 | ||||||||
\(567\) | 27.1060 | + | 11.5626i | 1.13834 | + | 0.485584i | ||||
\(568\) | −5.00347 | −0.209941 | ||||||||
\(569\) | 17.6790 | + | 30.6208i | 0.741140 | + | 1.28369i | 0.951976 | + | 0.306171i | \(0.0990480\pi\) |
−0.210836 | + | 0.977521i | \(0.567619\pi\) | |||||||
\(570\) | 7.12955 | − | 12.3487i | 0.298624 | − | 0.517232i | ||||
\(571\) | 20.6422 | − | 35.7533i | 0.863849 | − | 1.49623i | −0.00433587 | − | 0.999991i | \(-0.501380\pi\) |
0.868185 | − | 0.496240i | \(-0.165287\pi\) | |||||||
\(572\) | −1.22890 | − | 2.12851i | −0.0513827 | − | 0.0889975i | ||||
\(573\) | 24.4753 | 1.02247 | ||||||||
\(574\) | 29.2453 | − | 21.9566i | 1.22067 | − | 0.916453i | ||||
\(575\) | −9.95398 | −0.415110 | ||||||||
\(576\) | 2.16849 | + | 3.75593i | 0.0903536 | + | 0.156497i | ||||
\(577\) | −4.35125 | + | 7.53659i | −0.181145 | + | 0.313752i | −0.942271 | − | 0.334852i | \(-0.891314\pi\) |
0.761126 | + | 0.648604i | \(0.224647\pi\) | |||||||
\(578\) | 8.22389 | − | 14.2442i | 0.342069 | − | 0.592480i | ||||
\(579\) | 3.97372 | + | 6.88268i | 0.165142 | + | 0.286034i | ||||
\(580\) | 9.04494 | 0.375571 | ||||||||
\(581\) | −2.93359 | − | 24.2478i | −0.121706 | − | 1.00597i | ||||
\(582\) | 10.4698 | 0.433987 | ||||||||
\(583\) | 3.73490 | + | 6.46903i | 0.154684 | + | 0.267920i | ||||
\(584\) | −9.32224 | + | 16.1466i | −0.385757 | + | 0.668151i | ||||
\(585\) | −1.04994 | + | 1.81856i | −0.0434098 | + | 0.0751881i | ||||
\(586\) | 3.17622 | + | 5.50138i | 0.131209 | + | 0.227260i | ||||
\(587\) | −23.0539 | −0.951535 | −0.475767 | − | 0.879571i | \(-0.657830\pi\) | ||||
−0.475767 | + | 0.879571i | \(0.657830\pi\) | |||||||
\(588\) | −14.5341 | − | 15.1578i | −0.599377 | − | 0.625097i | ||||
\(589\) | −35.7727 | −1.47399 | ||||||||
\(590\) | 6.88191 | + | 11.9198i | 0.283324 | + | 0.490731i | ||||
\(591\) | 2.65856 | − | 4.60477i | 0.109359 | − | 0.189415i | ||||
\(592\) | 14.7618 | − | 25.5682i | 0.606707 | − | 1.05085i | ||||
\(593\) | −15.0494 | − | 26.0663i | −0.618005 | − | 1.07042i | −0.989849 | − | 0.142121i | \(-0.954608\pi\) |
0.371844 | − | 0.928295i | \(-0.378725\pi\) | |||||||
\(594\) | −4.70142 | −0.192902 | ||||||||
\(595\) | 0.572413 | + | 4.73131i | 0.0234666 | + | 0.193965i | ||||
\(596\) | −1.36445 | −0.0558900 | ||||||||
\(597\) | −20.3337 | − | 35.2190i | −0.832203 | − | 1.44142i | ||||
\(598\) | 3.57787 | − | 6.19706i | 0.146310 | − | 0.253416i | ||||
\(599\) | −14.6257 | + | 25.3325i | −0.597591 | + | 1.03506i | 0.395584 | + | 0.918430i | \(0.370542\pi\) |
−0.993176 | + | 0.116629i | \(0.962791\pi\) | |||||||
\(600\) | 5.89019 | + | 10.2021i | 0.240466 | + | 0.416499i | ||||
\(601\) | −26.8222 | −1.09410 | −0.547051 | − | 0.837099i | \(-0.684250\pi\) | ||||
−0.547051 | + | 0.837099i | \(0.684250\pi\) | |||||||
\(602\) | −18.8891 | + | 14.1815i | −0.769862 | + | 0.577994i | ||||
\(603\) | −2.93959 | −0.119709 | ||||||||
\(604\) | −1.18396 | − | 2.05068i | −0.0481746 | − | 0.0834409i | ||||
\(605\) | 0.317776 | − | 0.550404i | 0.0129194 | − | 0.0223771i | ||||
\(606\) | −19.9633 | + | 34.5774i | −0.810952 | + | 1.40461i | ||||
\(607\) | −16.1048 | − | 27.8943i | −0.653674 | − | 1.13220i | −0.982224 | − | 0.187710i | \(-0.939893\pi\) |
0.328551 | − | 0.944486i | \(-0.393440\pi\) | |||||||
\(608\) | 36.6949 | 1.48817 | ||||||||
\(609\) | −55.8096 | − | 23.8067i | −2.26152 | − | 0.964697i | ||||
\(610\) | 5.04949 | 0.204448 | ||||||||
\(611\) | −2.55267 | − | 4.42136i | −0.103270 | − | 0.178869i | ||||
\(612\) | 3.54667 | − | 6.14302i | 0.143366 | − | 0.248317i | ||||
\(613\) | −22.2975 | + | 38.6204i | −0.900587 | + | 1.55986i | −0.0738539 | + | 0.997269i | \(0.523530\pi\) |
−0.826733 | + | 0.562594i | \(0.809803\pi\) | |||||||
\(614\) | 5.97480 | + | 10.3487i | 0.241123 | + | 0.417638i | ||||
\(615\) | 10.5302 | 0.424619 | ||||||||
\(616\) | −2.83697 | − | 1.21017i | −0.114305 | − | 0.0487591i | ||||
\(617\) | −0.531290 | −0.0213889 | −0.0106945 | − | 0.999943i | \(-0.503404\pi\) | ||||
−0.0106945 | + | 0.999943i | \(0.503404\pi\) | |||||||
\(618\) | 12.5659 | + | 21.7647i | 0.505473 | + | 0.875506i | ||||
\(619\) | −20.8726 | + | 36.1525i | −0.838942 | + | 1.45309i | 0.0518379 | + | 0.998656i | \(0.483492\pi\) |
−0.890780 | + | 0.454435i | \(0.849841\pi\) | |||||||
\(620\) | 2.78811 | − | 4.82915i | 0.111973 | − | 0.193943i | ||||
\(621\) | −2.77557 | − | 4.80743i | −0.111380 | − | 0.192915i | ||||
\(622\) | 21.3324 | 0.855352 | ||||||||
\(623\) | 0.771104 | − | 0.578926i | 0.0308936 | − | 0.0231942i | ||||
\(624\) | −19.2766 | −0.771680 | ||||||||
\(625\) | −9.55213 | − | 16.5448i | −0.382085 | − | 0.661791i | ||||
\(626\) | 24.8519 | − | 43.0448i | 0.993282 | − | 1.72041i | ||||
\(627\) | 6.11581 | − | 10.5929i | 0.244242 | − | 0.423040i | ||||
\(628\) | 5.41658 | + | 9.38179i | 0.216145 | + | 0.374374i | ||||
\(629\) | −17.1921 | −0.685496 | ||||||||
\(630\) | −0.679494 | − | 5.61641i | −0.0270717 | − | 0.223763i | ||||
\(631\) | −0.217238 | −0.00864810 | −0.00432405 | − | 0.999991i | \(-0.501376\pi\) | ||||
−0.00432405 | + | 0.999991i | \(0.501376\pi\) | |||||||
\(632\) | 2.77557 | + | 4.80743i | 0.110406 | + | 0.191229i | ||||
\(633\) | −8.63555 | + | 14.9572i | −0.343232 | + | 0.594496i | ||||
\(634\) | −3.54167 | + | 6.13434i | −0.140658 | + | 0.243626i | ||||
\(635\) | 6.67295 | + | 11.5579i | 0.264808 | + | 0.458661i | ||||
\(636\) | −22.4094 | −0.888590 | ||||||||
\(637\) | 12.2454 | − | 3.00700i | 0.485179 | − | 0.119142i | ||||
\(638\) | 19.1317 | 0.757433 | ||||||||
\(639\) | −3.93632 | − | 6.81790i | −0.155718 | − | 0.269712i | ||||
\(640\) | 2.81396 | − | 4.87392i | 0.111232 | − | 0.192659i | ||||
\(641\) | 4.84525 | − | 8.39222i | 0.191376 | − | 0.331473i | −0.754331 | − | 0.656495i | \(-0.772038\pi\) |
0.945706 | + | 0.325022i | \(0.105372\pi\) | |||||||
\(642\) | 22.3804 | + | 38.7639i | 0.883283 | + | 1.52989i | ||||
\(643\) | 16.4633 | 0.649247 | 0.324624 | − | 0.945843i | \(-0.394762\pi\) | ||||
0.324624 | + | 0.945843i | \(0.394762\pi\) | |||||||
\(644\) | 0.939048 | + | 7.76176i | 0.0370037 | + | 0.305856i | ||||
\(645\) | −6.80131 | −0.267801 | ||||||||
\(646\) | −14.4605 | − | 25.0464i | −0.568942 | − | 0.985436i | ||||
\(647\) | −0.436861 | + | 0.756665i | −0.0171748 | + | 0.0297476i | −0.874485 | − | 0.485052i | \(-0.838801\pi\) |
0.857310 | + | 0.514800i | \(0.172134\pi\) | |||||||
\(648\) | −6.49226 | + | 11.2449i | −0.255040 | + | 0.441743i | ||||
\(649\) | 5.90338 | + | 10.2250i | 0.231728 | + | 0.401365i | ||||
\(650\) | 15.1856 | 0.595628 | ||||||||
\(651\) | −29.9140 | + | 22.4587i | −1.17242 | + | 0.880225i | ||||
\(652\) | −21.8386 | −0.855266 | ||||||||
\(653\) | 19.9665 | + | 34.5830i | 0.781350 | + | 1.35334i | 0.931155 | + | 0.364623i | \(0.118802\pi\) |
−0.149805 | + | 0.988716i | \(0.547865\pi\) | |||||||
\(654\) | −28.8436 | + | 49.9586i | −1.12787 | + | 1.95354i | ||||
\(655\) | −4.35398 | + | 7.54132i | −0.170124 | + | 0.294664i | ||||
\(656\) | 18.3387 | + | 31.7636i | 0.716006 | + | 1.24016i | ||||
\(657\) | −29.3359 | −1.14450 | ||||||||
\(658\) | 12.6515 | + | 5.39675i | 0.493206 | + | 0.210387i | ||||
\(659\) | −6.89465 | −0.268578 | −0.134289 | − | 0.990942i | \(-0.542875\pi\) | ||||
−0.134289 | + | 0.990942i | \(0.542875\pi\) | |||||||
\(660\) | 0.953328 | + | 1.65121i | 0.0371082 | + | 0.0642734i | ||||
\(661\) | 20.0072 | − | 34.6535i | 0.778190 | − | 1.34786i | −0.154795 | − | 0.987947i | \(-0.549472\pi\) |
0.932984 | − | 0.359917i | \(-0.117195\pi\) | |||||||
\(662\) | −5.64056 | + | 9.76973i | −0.219227 | + | 0.379711i | ||||
\(663\) | 5.61254 | + | 9.72121i | 0.217973 | + | 0.377540i | ||||
\(664\) | 10.7618 | 0.417640 | ||||||||
\(665\) | −8.60435 | − | 3.67036i | −0.333662 | − | 0.142331i | ||||
\(666\) | 20.4083 | 0.790806 | ||||||||
\(667\) | 11.2948 | + | 19.5631i | 0.437335 | + | 0.757487i | ||||
\(668\) | −0.790843 | + | 1.36978i | −0.0305986 | + | 0.0529984i | ||||
\(669\) | 22.3574 | − | 38.7241i | 0.864386 | − | 1.49716i | ||||
\(670\) | −0.934131 | − | 1.61796i | −0.0360886 | − | 0.0625073i | ||||
\(671\) | 4.33151 | 0.167216 | ||||||||
\(672\) | 30.6851 | − | 23.0376i | 1.18370 | − | 0.888695i | ||||
\(673\) | 31.3788 | 1.20957 | 0.604783 | − | 0.796391i | \(-0.293260\pi\) | ||||
0.604783 | + | 0.796391i | \(0.293260\pi\) | |||||||
\(674\) | 10.7860 | + | 18.6820i | 0.415463 | + | 0.719602i | ||||
\(675\) | 5.89019 | − | 10.2021i | 0.226713 | − | 0.392679i | ||||
\(676\) | 6.65529 | − | 11.5273i | 0.255973 | − | 0.443358i | ||||
\(677\) | 18.2658 | + | 31.6372i | 0.702010 | + | 1.21592i | 0.967760 | + | 0.251875i | \(0.0810471\pi\) |
−0.265750 | + | 0.964042i | \(0.585620\pi\) | |||||||
\(678\) | 35.0439 | 1.34585 | ||||||||
\(679\) | −0.824970 | − | 6.81884i | −0.0316594 | − | 0.261683i | ||||
\(680\) | −2.09989 | −0.0805270 | ||||||||
\(681\) | 7.93686 | + | 13.7470i | 0.304141 | + | 0.526788i | ||||
\(682\) | 5.89738 | − | 10.2146i | 0.225822 | − | 0.391136i | ||||
\(683\) | 7.63501 | − | 13.2242i | 0.292146 | − | 0.506011i | −0.682171 | − | 0.731192i | \(-0.738964\pi\) |
0.974317 | + | 0.225181i | \(0.0722975\pi\) | |||||||
\(684\) | 6.96152 | + | 12.0577i | 0.266180 | + | 0.461038i | ||||
\(685\) | −4.61701 | −0.176407 | ||||||||
\(686\) | −21.5187 | + | 26.2860i | −0.821586 | + | 1.00360i | ||||
\(687\) | −26.5411 | −1.01261 | ||||||||
\(688\) | −11.8447 | − | 20.5156i | −0.451575 | − | 0.782151i | ||||
\(689\) | 6.72770 | − | 11.6527i | 0.256305 | − | 0.443933i | ||||
\(690\) | −2.77557 | + | 4.80743i | −0.105664 | + | 0.183016i | ||||
\(691\) | 19.1921 | + | 33.2418i | 0.730104 | + | 1.26458i | 0.956839 | + | 0.290620i | \(0.0938616\pi\) |
−0.226735 | + | 0.973957i | \(0.572805\pi\) | |||||||
\(692\) | −1.35552 | −0.0515291 | ||||||||
\(693\) | −0.582878 | − | 4.81782i | −0.0221417 | − | 0.183014i | ||||
\(694\) | −1.54221 | −0.0585414 | ||||||||
\(695\) | −0.827049 | − | 1.43249i | −0.0313718 | − | 0.0543375i | ||||
\(696\) | 13.3672 | − | 23.1526i | 0.506682 | − | 0.877598i | ||||
\(697\) | 10.6790 | − | 18.4965i | 0.404494 | − | 0.700604i | ||||
\(698\) | −8.37491 | − | 14.5058i | −0.316995 | − | 0.549052i | ||||
\(699\) | 16.5830 | 0.627226 | ||||||||
\(700\) | −13.2685 | + | 9.96166i | −0.501501 | + | 0.376515i | ||||
\(701\) | 17.9056 | 0.676284 | 0.338142 | − | 0.941095i | \(-0.390202\pi\) | ||||
0.338142 | + | 0.941095i | \(0.390202\pi\) | |||||||
\(702\) | 4.23436 | + | 7.33412i | 0.159815 | + | 0.276808i | ||||
\(703\) | 16.8726 | − | 29.2243i | 0.636364 | − | 1.10221i | ||||
\(704\) | −1.18222 | + | 2.04767i | −0.0445567 | + | 0.0771745i | ||||
\(705\) | 1.98026 | + | 3.42991i | 0.0745809 | + | 0.129178i | ||||
\(706\) | 41.6883 | 1.56896 | ||||||||
\(707\) | 24.0928 | + | 10.2773i | 0.906103 | + | 0.386517i | ||||
\(708\) | −35.4203 | −1.33118 | ||||||||
\(709\) | −17.1997 | − | 29.7907i | −0.645948 | − | 1.11881i | −0.984082 | − | 0.177716i | \(-0.943129\pi\) |
0.338134 | − | 0.941098i | \(-0.390204\pi\) | |||||||
\(710\) | 2.50173 | − | 4.33313i | 0.0938884 | − | 0.162620i | ||||
\(711\) | −4.36718 | + | 7.56417i | −0.163782 | + | 0.283679i | ||||
\(712\) | 0.212429 | + | 0.367938i | 0.00796111 | + | 0.0137890i | ||||
\(713\) | 13.9265 | 0.521552 | ||||||||
\(714\) | −27.8167 | − | 11.8658i | −1.04101 | − | 0.444066i | ||||
\(715\) | −1.14483 | −0.0428140 | ||||||||
\(716\) | 13.4138 | + | 23.2335i | 0.501299 | + | 0.868276i | ||||
\(717\) | −10.8244 | + | 18.7485i | −0.404246 | + | 0.700174i | ||||
\(718\) | 24.0456 | − | 41.6482i | 0.897373 | − | 1.55430i | ||||
\(719\) | −24.7086 | − | 42.7966i | −0.921476 | − | 1.59604i | −0.797133 | − | 0.603804i | \(-0.793651\pi\) |
−0.124343 | − | 0.992239i | \(-0.539682\pi\) | |||||||
\(720\) | 5.67395 | 0.211455 | ||||||||
\(721\) | 13.1850 | − | 9.89894i | 0.491033 | − | 0.368656i | ||||
\(722\) | 21.9165 | 0.815647 | ||||||||
\(723\) | −1.84144 | − | 3.18946i | −0.0684838 | − | 0.118617i | ||||
\(724\) | 16.2865 | − | 28.2090i | 0.605283 | − | 1.04838i | ||||
\(725\) | −23.9693 | + | 41.5160i | −0.890196 | + | 1.54186i | ||||
\(726\) | 2.01647 | + | 3.49262i | 0.0748381 | + | 0.129623i | ||||
\(727\) | −19.8201 | −0.735086 | −0.367543 | − | 0.930007i | \(-0.619801\pi\) | ||||
−0.367543 | + | 0.930007i | \(0.619801\pi\) | |||||||
\(728\) | 0.667294 | + | 5.51556i | 0.0247316 | + | 0.204420i | ||||
\(729\) | −3.52366 | −0.130506 | ||||||||
\(730\) | −9.32224 | − | 16.1466i | −0.345032 | − | 0.597612i | ||||
\(731\) | −6.89738 | + | 11.9466i | −0.255109 | + | 0.441862i | ||||
\(732\) | −6.49727 | + | 11.2536i | −0.240146 | + | 0.415945i | ||||
\(733\) | 15.3238 | + | 26.5416i | 0.565997 | + | 0.980335i | 0.996956 | + | 0.0779637i | \(0.0248418\pi\) |
−0.430960 | + | 0.902371i | \(0.641825\pi\) | |||||||
\(734\) | −7.01092 | −0.258778 | ||||||||
\(735\) | −9.49946 | + | 2.33271i | −0.350393 | + | 0.0860432i | ||||
\(736\) | −14.2855 | −0.526570 | ||||||||
\(737\) | −0.801309 | − | 1.38791i | −0.0295166 | − | 0.0511242i | ||||
\(738\) | −12.6767 | + | 21.9566i | −0.466635 | + | 0.808235i | ||||
\(739\) | −8.55094 | + | 14.8107i | −0.314551 | + | 0.544819i | −0.979342 | − | 0.202211i | \(-0.935187\pi\) |
0.664791 | + | 0.747030i | \(0.268521\pi\) | |||||||
\(740\) | 2.63009 | + | 4.55545i | 0.0966841 | + | 0.167462i | ||||
\(741\) | −22.0329 | −0.809400 | ||||||||
\(742\) | 4.35398 | + | 35.9881i | 0.159840 | + | 1.32117i | ||||
\(743\) | −6.97252 | −0.255797 | −0.127899 | − | 0.991787i | \(-0.540823\pi\) | ||||
−0.127899 | + | 0.991787i | \(0.540823\pi\) | |||||||
\(744\) | −8.24090 | − | 14.2737i | −0.302126 | − | 0.523298i | ||||
\(745\) | −0.317776 | + | 0.550404i | −0.0116424 | + | 0.0201652i | ||||
\(746\) | −13.8556 | + | 23.9987i | −0.507291 | + | 0.878653i | ||||
\(747\) | 8.46652 | + | 14.6644i | 0.309774 | + | 0.536544i | ||||
\(748\) | 3.86718 | 0.141398 | ||||||||
\(749\) | 23.4830 | − | 17.6305i | 0.858050 | − | 0.644203i | ||||
\(750\) | −24.5961 | −0.898122 | ||||||||
\(751\) | −7.61636 | − | 13.1919i | −0.277925 | − | 0.481380i | 0.692944 | − | 0.720991i | \(-0.256313\pi\) |
−0.970869 | + | 0.239612i | \(0.922980\pi\) | |||||||
\(752\) | −6.89738 | + | 11.9466i | −0.251522 | + | 0.435648i | ||||
\(753\) | 21.7383 | − | 37.6518i | 0.792187 | − | 1.37211i | ||||
\(754\) | −17.2311 | − | 29.8451i | −0.627519 | − | 1.08689i | ||||
\(755\) | −1.10296 | −0.0401409 | ||||||||
\(756\) | −8.51092 | − | 3.63051i | −0.309539 | − | 0.132040i | ||||
\(757\) | −14.5326 | −0.528196 | −0.264098 | − | 0.964496i | \(-0.585074\pi\) | ||||
−0.264098 | + | 0.964496i | \(0.585074\pi\) | |||||||
\(758\) | 10.4336 | + | 18.0715i | 0.378965 | + | 0.656387i | ||||
\(759\) | −2.38092 | + | 4.12387i | −0.0864217 | + | 0.149687i | ||||
\(760\) | 2.06086 | − | 3.56952i | 0.0747553 | − | 0.129480i | ||||
\(761\) | 0.856712 | + | 1.48387i | 0.0310558 | + | 0.0537902i | 0.881136 | − | 0.472864i | \(-0.156780\pi\) |
−0.850080 | + | 0.526654i | \(0.823446\pi\) | |||||||
\(762\) | −84.6872 | −3.06790 | ||||||||
\(763\) | 34.8101 | + | 14.8490i | 1.26021 | + | 0.537569i | ||||
\(764\) | −15.1887 | −0.549507 | ||||||||
\(765\) | −1.65202 | − | 2.86138i | −0.0597289 | − | 0.103453i | ||||
\(766\) | −8.14929 | + | 14.1150i | −0.294446 | + | 0.509995i | ||||
\(767\) | 10.6338 | − | 18.4183i | 0.383965 | − | 0.665047i | ||||
\(768\) | 23.0549 | + | 39.9322i | 0.831921 | + | 1.44093i | ||||
\(769\) | −36.5874 | −1.31937 | −0.659687 | − | 0.751540i | \(-0.729311\pi\) | ||||
−0.659687 | + | 0.751540i | \(0.729311\pi\) | |||||||
\(770\) | 2.46652 | − | 1.85181i | 0.0888873 | − | 0.0667345i | ||||
\(771\) | −5.98037 | −0.215378 | ||||||||
\(772\) | −2.46598 | − | 4.27120i | −0.0887526 | − | 0.153724i | ||||
\(773\) | −13.4106 | + | 23.2278i | −0.482345 | + | 0.835446i | −0.999795 | − | 0.0202677i | \(-0.993548\pi\) |
0.517450 | + | 0.855714i | \(0.326881\pi\) | |||||||
\(774\) | 8.18768 | − | 14.1815i | 0.294300 | − | 0.509743i | ||||
\(775\) | 14.7771 | + | 25.5947i | 0.530809 | + | 0.919389i | ||||
\(776\) | 3.02639 | 0.108641 | ||||||||
\(777\) | −4.23817 | − | 35.0309i | −0.152043 | − | 1.25673i | ||||
\(778\) | −36.4997 | −1.30858 | ||||||||
\(779\) | 20.9610 | + | 36.3055i | 0.751005 | + | 1.30078i | ||||
\(780\) | 1.71724 | − | 2.97434i | 0.0614870 | − | 0.106499i | ||||
\(781\) | 2.14602 | − | 3.71701i | 0.0767906 | − | 0.133005i | ||||
\(782\) | 5.62955 | + | 9.75067i | 0.201312 | + | 0.348683i | ||||
\(783\) | −26.7344 | −0.955408 | ||||||||
\(784\) | −23.5801 | − | 24.5919i | −0.842145 | − | 0.878283i | ||||
\(785\) | 5.04602 | 0.180100 | ||||||||
\(786\) | −27.6285 | − | 47.8539i | −0.985475 | − | 1.70689i | ||||
\(787\) | −2.47580 | + | 4.28821i | −0.0882526 | + | 0.152858i | −0.906773 | − | 0.421620i | \(-0.861462\pi\) |
0.818520 | + | 0.574478i | \(0.194795\pi\) | |||||||
\(788\) | −1.64983 | + | 2.85759i | −0.0587728 | + | 0.101798i | ||||
\(789\) | 13.9561 | + | 24.1726i | 0.496849 | + | 0.860567i | ||||
\(790\) | −5.55114 | −0.197501 | ||||||||
\(791\) | −2.76129 | − | 22.8236i | −0.0981801 | − | 0.811514i | ||||
\(792\) | 2.13828 | 0.0759805 | ||||||||
\(793\) | −3.90120 | − | 6.75707i | −0.138536 | − | 0.239951i | ||||
\(794\) | 31.9714 | − | 55.3762i | 1.13462 | − | 1.96523i | ||||
\(795\) | −5.21908 | + | 9.03971i | −0.185102 | + | 0.320606i | ||||
\(796\) | 12.6185 | + | 21.8560i | 0.447252 | + | 0.774664i | ||||
\(797\) | −26.6818 | −0.945117 | −0.472559 | − | 0.881299i | \(-0.656670\pi\) | ||||
−0.472559 | + | 0.881299i | \(0.656670\pi\) | |||||||
\(798\) | 47.4699 | − | 35.6393i | 1.68042 | − | 1.26162i | ||||
\(799\) | 8.03293 | 0.284185 | ||||||||
\(800\) | −15.1580 | − | 26.2545i | −0.535917 | − | 0.928235i | ||||
\(801\) | −0.334243 | + | 0.578926i | −0.0118099 | + | 0.0204554i | ||||
\(802\) | −10.4518 | + | 18.1030i | −0.369066 | + | 0.639240i | ||||
\(803\) | −7.99673 | − | 13.8507i | −0.282198 | − | 0.488782i | ||||
\(804\) | 4.80785 | 0.169560 | ||||||||
\(805\) | 3.34972 | + | 1.42889i | 0.118062 | + | 0.0503617i | ||||
\(806\) | −21.2460 | −0.748359 | ||||||||
\(807\) | −7.79804 | − | 13.5066i | −0.274504 | − | 0.475455i | ||||
\(808\) | −5.77056 | + | 9.99491i | −0.203008 | + | 0.351620i | ||||
\(809\) | 19.7700 | − | 34.2427i | 0.695077 | − | 1.20391i | −0.275078 | − | 0.961422i | \(-0.588704\pi\) |
0.970155 | − | 0.242487i | \(-0.0779630\pi\) | |||||||
\(810\) | −6.49226 | − | 11.2449i | −0.228115 | − | 0.395107i | ||||
\(811\) | −33.4543 | −1.17474 | −0.587370 | − | 0.809318i | \(-0.699837\pi\) | ||||
−0.587370 | + | 0.809318i | \(0.699837\pi\) | |||||||
\(812\) | 34.6339 | + | 14.7738i | 1.21541 | + | 0.518459i | ||||
\(813\) | 40.0517 | 1.40467 | ||||||||
\(814\) | 5.56314 | + | 9.63564i | 0.194988 | + | 0.337729i | ||||
\(815\) | −5.08615 | + | 8.80947i | −0.178160 | + | 0.308582i | ||||
\(816\) | 15.1652 | − | 26.2669i | 0.530889 | − | 0.919526i | ||||
\(817\) | −13.5384 | − | 23.4492i | −0.473648 | − | 0.820383i | ||||
\(818\) | −7.49818 | −0.262168 | ||||||||
\(819\) | −6.99073 | + | 5.24847i | −0.244276 | + | 0.183396i | ||||
\(820\) | −6.53476 | −0.228204 | ||||||||
\(821\) | −28.4310 | − | 49.2439i | −0.992248 | − | 1.71862i | −0.603751 | − | 0.797173i | \(-0.706328\pi\) |
−0.388497 | − | 0.921450i | \(-0.627006\pi\) | |||||||
\(822\) | 14.6487 | − | 25.3724i | 0.510934 | − | 0.884963i | ||||
\(823\) | 20.0878 | − | 34.7931i | 0.700217 | − | 1.21281i | −0.268174 | − | 0.963371i | \(-0.586420\pi\) |
0.968390 | − | 0.249440i | \(-0.0802465\pi\) | |||||||
\(824\) | 3.63228 | + | 6.29129i | 0.126536 | + | 0.219168i | ||||
\(825\) | −10.1053 | −0.351823 | ||||||||
\(826\) | 6.88191 | + | 56.8829i | 0.239452 | + | 1.97921i | ||||
\(827\) | −5.73544 | −0.199441 | −0.0997204 | − | 0.995015i | \(-0.531795\pi\) | ||||
−0.0997204 | + | 0.995015i | \(0.531795\pi\) | |||||||
\(828\) | −2.71015 | − | 4.69412i | −0.0941843 | − | 0.163132i | ||||
\(829\) | 17.7980 | − | 30.8271i | 0.618151 | − | 1.07067i | −0.371671 | − | 0.928364i | \(-0.621215\pi\) |
0.989823 | − | 0.142305i | \(-0.0454515\pi\) | |||||||
\(830\) | −5.38092 | + | 9.32002i | −0.186774 | + | 0.323503i | ||||
\(831\) | 15.2244 | + | 26.3695i | 0.528130 | + | 0.914747i | ||||
\(832\) | 4.25910 | 0.147658 | ||||||||
\(833\) | −5.53621 | + | 19.0516i | −0.191818 | + | 0.660099i | ||||
\(834\) | 10.4962 | 0.363453 | ||||||||
\(835\) | 0.368370 | + | 0.638036i | 0.0127480 | + | 0.0220801i | ||||
\(836\) | −3.79531 | + | 6.57367i | −0.131263 | + | 0.227355i | ||||
\(837\) | −8.24090 | + | 14.2737i | −0.284847 | + | 0.493370i | ||||
\(838\) | −30.0818 | − | 52.1032i | −1.03916 | − | 1.79988i | ||||
\(839\) | −41.7727 | −1.44216 | −0.721078 | − | 0.692854i | \(-0.756353\pi\) | ||||
−0.721078 | + | 0.692854i | \(0.756353\pi\) | |||||||
\(840\) | −0.517660 | − | 4.27875i | −0.0178610 | − | 0.147631i | ||||
\(841\) | 79.7915 | 2.75143 | ||||||||
\(842\) | 7.81505 | + | 13.5361i | 0.269324 | + | 0.466483i | ||||
\(843\) | 23.1225 | − | 40.0493i | 0.796380 | − | 1.37937i | ||||
\(844\) | 5.35899 | − | 9.28204i | 0.184464 | − | 0.319501i | ||||
\(845\) | −3.10000 | − | 5.36935i | −0.106643 | − | 0.184711i | ||||
\(846\) | −9.53566 | −0.327843 | ||||||||
\(847\) | 2.11581 | − | 1.58850i | 0.0727002 | − | 0.0545815i | ||||
\(848\) | −36.3568 | −1.24850 | ||||||||
\(849\) | 0.387459 | + | 0.671099i | 0.0132976 | + | 0.0230321i | ||||
\(850\) | −11.9468 | + | 20.6924i | −0.409771 | + | 0.709745i | ||||
\(851\) | −6.56860 | + | 11.3771i | −0.225169 | + | 0.390004i | ||||
\(852\) | 6.43805 | + | 11.1510i | 0.220564 | + | 0.382028i | ||||
\(853\) | 49.7871 | 1.70468 | 0.852340 | − | 0.522989i | \(-0.175183\pi\) | ||||
0.852340 | + | 0.522989i | \(0.175183\pi\) | |||||||
\(854\) | 19.3350 | + | 8.24773i | 0.661630 | + | 0.282232i | ||||
\(855\) | 6.48527 | 0.221791 | ||||||||
\(856\) | 6.46925 | + | 11.2051i | 0.221115 | + | 0.382982i | ||||
\(857\) | −12.7394 | + | 22.0652i | −0.435168 | + | 0.753734i | −0.997309 | − | 0.0733077i | \(-0.976644\pi\) |
0.562141 | + | 0.827041i | \(0.309978\pi\) | |||||||
\(858\) | 3.63228 | − | 6.29129i | 0.124004 | − | 0.214781i | ||||
\(859\) | −8.08080 | − | 13.9964i | −0.275713 | − | 0.477549i | 0.694602 | − | 0.719395i | \(-0.255581\pi\) |
−0.970315 | + | 0.241845i | \(0.922247\pi\) | |||||||
\(860\) | 4.22071 | 0.143925 | ||||||||
\(861\) | 40.3212 | + | 17.1998i | 1.37414 | + | 0.586168i | ||||
\(862\) | −30.6949 | −1.04547 | ||||||||
\(863\) | −1.44951 | − | 2.51063i | −0.0493420 | − | 0.0854629i | 0.840300 | − | 0.542122i | \(-0.182379\pi\) |
−0.889642 | + | 0.456660i | \(0.849046\pi\) | |||||||
\(864\) | 8.45333 | − | 14.6416i | 0.287588 | − | 0.498117i | ||||
\(865\) | −0.315697 | + | 0.546802i | −0.0107340 | + | 0.0185918i | ||||
\(866\) | 23.7224 | + | 41.0883i | 0.806118 | + | 1.39624i | ||||
\(867\) | 19.7158 | 0.669584 | ||||||||
\(868\) | 18.5638 | − | 13.9372i | 0.630096 | − | 0.473061i | ||||
\(869\) | −4.76183 | −0.161534 | ||||||||
\(870\) | 13.3672 | + | 23.1526i | 0.453190 | + | 0.784948i | ||||
\(871\) | −1.44340 | + | 2.50005i | −0.0489079 | + | 0.0847110i | ||||
\(872\) | −8.33752 | + | 14.4410i | −0.282344 | + | 0.489034i | ||||
\(873\) | 2.38092 | + | 4.12387i | 0.0805818 | + | 0.139572i | ||||
\(874\) | −22.0997 | −0.747534 | ||||||||
\(875\) | 1.93805 | + | 16.0191i | 0.0655182 | + | 0.541545i | ||||
\(876\) | 47.9804 | 1.62111 | ||||||||
\(877\) | 4.20742 | + | 7.28747i | 0.142075 | + | 0.246080i | 0.928278 | − | 0.371888i | \(-0.121289\pi\) |
−0.786203 | + | 0.617968i | \(0.787956\pi\) | |||||||
\(878\) | 8.77557 | − | 15.1997i | 0.296161 | − | 0.512966i | ||||
\(879\) | −3.80731 | + | 6.59445i | −0.128417 | + | 0.222425i | ||||
\(880\) | 1.54667 | + | 2.67891i | 0.0521383 | + | 0.0903062i | ||||
\(881\) | 41.5335 | 1.39930 | 0.699649 | − | 0.714486i | \(-0.253340\pi\) | ||||
0.699649 | + | 0.714486i | \(0.253340\pi\) | |||||||
\(882\) | 6.57187 | − | 22.6156i | 0.221286 | − | 0.761508i | ||||
\(883\) | −56.4753 | −1.90054 | −0.950272 | − | 0.311422i | \(-0.899195\pi\) | ||||
−0.950272 | + | 0.311422i | \(0.899195\pi\) | |||||||
\(884\) | −3.48299 | − | 6.03272i | −0.117146 | − | 0.202902i | ||||
\(885\) | −8.24929 | + | 14.2882i | −0.277297 | + | 0.480292i | ||||
\(886\) | −17.4555 | + | 30.2338i | −0.586429 | + | 1.01573i | ||||
\(887\) | 17.2898 | + | 29.9467i | 0.580533 | + | 1.00551i | 0.995416 | + | 0.0956383i | \(0.0304892\pi\) |
−0.414883 | + | 0.909875i | \(0.636177\pi\) | |||||||
\(888\) | 15.5477 | 0.521746 | ||||||||
\(889\) | 6.67295 | + | 55.1557i | 0.223804 | + | 1.84986i | ||||
\(890\) | −0.424858 | −0.0142413 | ||||||||
\(891\) | −5.56914 | − | 9.64603i | −0.186573 | − | 0.323154i | ||||
\(892\) | −13.8744 | + | 24.0311i | −0.464548 | + | 0.804621i | ||||
\(893\) | −7.88364 | + | 13.6549i | −0.263816 | + | 0.456943i | ||||
\(894\) | −2.01647 | − | 3.49262i | −0.0674408 | − | 0.116811i | ||||
\(895\) | 12.4962 | 0.417701 | ||||||||
\(896\) | 18.7359 | − | 14.0665i | 0.625922 | − | 0.469927i | ||||
\(897\) | 8.57753 | 0.286395 | ||||||||
\(898\) | −30.5791 | − | 52.9645i | −1.02044 | − | 1.76745i | ||||
\(899\) | 33.5351 | − | 58.0845i | 1.11846 | − | 1.93723i | ||||
\(900\) | 5.75136 | − | 9.96166i | 0.191712 | − | 0.332055i | ||||
\(901\) | 10.5856 | + | 18.3348i | 0.352658 | + | 0.610821i | ||||
\(902\) | −13.8222 | −0.460230 | ||||||||
\(903\) | −26.0429 | − | 11.1091i | −0.866652 | − | 0.369688i | ||||
\(904\) | 10.1297 | 0.336910 | ||||||||
\(905\) | −7.58615 | − | 13.1396i | −0.252172 | − | 0.436775i | ||||
\(906\) | 3.49946 | − | 6.06124i | 0.116262 | − | 0.201371i | ||||
\(907\) | −4.20142 | + | 7.27707i | −0.139506 | + | 0.241631i | −0.927310 | − | 0.374295i | \(-0.877885\pi\) |
0.787804 | + | 0.615926i | \(0.211218\pi\) | |||||||
\(908\) | −4.92540 | − | 8.53104i | −0.163455 | − | 0.283113i | ||||
\(909\) | −18.1592 | −0.602303 | ||||||||
\(910\) | −5.11026 | − | 2.17989i | −0.169404 | − | 0.0722626i | ||||
\(911\) | −0.593689 | −0.0196698 | −0.00983489 | − | 0.999952i | \(-0.503131\pi\) | ||||
−0.00983489 | + | 0.999952i | \(0.503131\pi\) | |||||||
\(912\) | 29.7667 | + | 51.5575i | 0.985675 | + | 1.70724i | ||||
\(913\) | −4.61581 | + | 7.99482i | −0.152761 | + | 0.264590i | ||||
\(914\) | −10.9693 | + | 18.9993i | −0.362831 | + | 0.628441i | ||||
\(915\) | 3.02639 | + | 5.24186i | 0.100049 | + | 0.173291i | ||||
\(916\) | 16.4707 | 0.544207 | ||||||||
\(917\) | −28.9896 | + | 21.7647i | −0.957322 | + | 0.718734i | ||||
\(918\) | −13.3250 | −0.439790 | ||||||||
\(919\) | 8.16849 | + | 14.1482i | 0.269454 | + | 0.466707i | 0.968721 | − | 0.248153i | \(-0.0798236\pi\) |
−0.699267 | + | 0.714860i | \(0.746490\pi\) | |||||||
\(920\) | −0.802304 | + | 1.38963i | −0.0264512 | + | 0.0458148i | ||||
\(921\) | −7.16194 | + | 12.4048i | −0.235994 | + | 0.408754i | ||||
\(922\) | −11.4545 | − | 19.8398i | −0.377235 | − | 0.653389i | ||||
\(923\) | −7.73128 | −0.254478 | ||||||||
\(924\) | 0.953328 | + | 7.87979i | 0.0313622 | + | 0.259226i | ||||
\(925\) | −27.8792 | −0.916662 | ||||||||
\(926\) | −11.2893 | − | 19.5537i | −0.370990 | − | 0.642573i | ||||
\(927\) | −5.71516 | + | 9.89894i | −0.187710 | + | 0.325124i | ||||
\(928\) | −34.3996 | + | 59.5818i | −1.12922 | + | 1.95587i | ||||
\(929\) | −4.45060 | − | 7.70866i | −0.146019 | − | 0.252913i | 0.783733 | − | 0.621097i | \(-0.213313\pi\) |
−0.929753 | + | 0.368184i | \(0.879980\pi\) | |||||||
\(930\) | 16.4818 | 0.540459 | ||||||||
\(931\) | −26.9518 | − | 28.1083i | −0.883309 | − | 0.921213i | ||||
\(932\) | −10.2910 | −0.337091 | ||||||||
\(933\) | 12.7855 | + | 22.1451i | 0.418578 | + | 0.724999i | ||||
\(934\) | −30.0456 | + | 52.0405i | −0.983122 | + | 1.70282i | ||||
\(935\) | 0.900654 | − | 1.55998i | 0.0294545 | − | 0.0510168i | ||||
\(936\) | −1.92585 | − | 3.33567i | −0.0629485 | − | 0.109030i | ||||
\(937\) | 45.2360 | 1.47780 | 0.738898 | − | 0.673817i | \(-0.235347\pi\) | ||||
0.738898 | + | 0.673817i | \(0.235347\pi\) | |||||||
\(938\) | −0.934131 | − | 7.72112i | −0.0305005 | − | 0.252104i | ||||
\(939\) | 59.5795 | 1.94430 | ||||||||
\(940\) | −1.22890 | − | 2.12851i | −0.0400822 | − | 0.0694244i | ||||
\(941\) | 3.46652 | − | 6.00419i | 0.113005 | − | 0.195731i | −0.803975 | − | 0.594663i | \(-0.797286\pi\) |
0.916981 | + | 0.398932i | \(0.130619\pi\) | |||||||
\(942\) | −16.0099 | + | 27.7300i | −0.521631 | + | 0.903492i | ||||
\(943\) | −8.16021 | − | 14.1339i | −0.265733 | − | 0.460263i | ||||
\(944\) | −57.4656 | −1.87035 | ||||||||
\(945\) | −3.44668 | + | 2.58768i | −0.112120 | + | 0.0841773i | ||||
\(946\) | 8.92759 | 0.290261 | ||||||||
\(947\) | −10.3716 | − | 17.9642i | −0.337033 | − | 0.583758i | 0.646840 | − | 0.762626i | \(-0.276090\pi\) |
−0.983873 | + | 0.178867i | \(0.942757\pi\) | |||||||
\(948\) | 7.14275 | − | 12.3716i | 0.231986 | − | 0.401811i | ||||
\(949\) | −14.4046 | + | 24.9495i | −0.467592 | + | 0.809894i | ||||
\(950\) | −23.4495 | − | 40.6157i | −0.760803 | − | 1.31775i | ||||
\(951\) | −8.49073 | −0.275331 | ||||||||
\(952\) | −8.04067 | − | 3.42991i | −0.260600 | − | 0.111164i | ||||
\(953\) | 20.2076 | 0.654589 | 0.327295 | − | 0.944922i | \(-0.393863\pi\) | ||||
0.327295 | + | 0.944922i | \(0.393863\pi\) | |||||||
\(954\) | −12.5659 | − | 21.7647i | −0.406835 | − | 0.704659i | ||||
\(955\) | −3.53740 | + | 6.12695i | −0.114468 | + | 0.198264i | ||||
\(956\) | 6.71735 | − | 11.6348i | 0.217254 | − | 0.376296i | ||||
\(957\) | 11.4665 | + | 19.8606i | 0.370660 | + | 0.642002i | ||||
\(958\) | 47.6499 | 1.53950 | ||||||||
\(959\) | −17.6790 | − | 7.54132i | −0.570883 | − | 0.243522i | ||||
\(960\) | −3.30404 | −0.106637 | ||||||||
\(961\) | −5.17449 | − | 8.96248i | −0.166919 | − | 0.289112i | ||||
\(962\) | 10.0209 | − | 17.3568i | 0.323088 | − | 0.559604i | ||||
\(963\) | −10.1790 | + | 17.6305i | −0.328012 | + | 0.568134i | ||||
\(964\) | 1.14275 | + | 1.97929i | 0.0368054 | + | 0.0637488i | ||||
\(965\) | −2.29728 | −0.0739520 | ||||||||
\(966\) | −18.4803 | + | 13.8745i | −0.594593 | + | 0.446406i | ||||
\(967\) | −7.98254 | −0.256701 | −0.128351 | − | 0.991729i | \(-0.540968\pi\) | ||||
−0.128351 | + | 0.991729i | \(0.540968\pi\) | |||||||
\(968\) | 0.582878 | + | 1.00958i | 0.0187344 | + | 0.0324490i | ||||
\(969\) | 17.3337 | − | 30.0229i | 0.556839 | − | 0.964473i | ||||
\(970\) | −1.51320 | + | 2.62093i | −0.0485858 | + | 0.0841530i | ||||
\(971\) | 6.88965 | + | 11.9332i | 0.221099 | + | 0.382955i | 0.955142 | − | 0.296148i | \(-0.0957022\pi\) |
−0.734043 | + | 0.679103i | \(0.762369\pi\) | |||||||
\(972\) | 22.9230 | 0.735257 | ||||||||
\(973\) | −0.827049 | − | 6.83603i | −0.0265140 | − | 0.219153i | ||||
\(974\) | 26.6619 | 0.854304 | ||||||||
\(975\) | 9.10143 | + | 15.7641i | 0.291479 | + | 0.504856i | ||||
\(976\) | −10.5411 | + | 18.2578i | −0.337413 | + | 0.584417i | ||||
\(977\) | −6.01047 | + | 10.4104i | −0.192292 | + | 0.333059i | −0.946009 | − | 0.324139i | \(-0.894925\pi\) |
0.753718 | + | 0.657199i | \(0.228259\pi\) | |||||||
\(978\) | −32.2745 | − | 55.9010i | −1.03202 | − | 1.78752i | ||||
\(979\) | −0.364448 | −0.0116478 | ||||||||
\(980\) | 5.89511 | − | 1.44761i | 0.188312 | − | 0.0462423i | ||||
\(981\) | −26.2371 | −0.837686 | ||||||||
\(982\) | 36.1302 | + | 62.5793i | 1.15296 | + | 1.99699i | ||||
\(983\) | 22.3272 | − | 38.6718i | 0.712126 | − | 1.23344i | −0.251932 | − | 0.967745i | \(-0.581066\pi\) |
0.964058 | − | 0.265693i | \(-0.0856007\pi\) | |||||||
\(984\) | −9.65748 | + | 16.7272i | −0.307869 | + | 0.533245i | ||||
\(985\) | 0.768482 | + | 1.33105i | 0.0244859 | + | 0.0424108i | ||||
\(986\) | 54.2240 | 1.72684 | ||||||||
\(987\) | 1.98026 | + | 16.3680i | 0.0630324 | + | 0.520998i | ||||
\(988\) | 13.6730 | 0.434997 | ||||||||
\(989\) | 5.27056 | + | 9.12888i | 0.167594 | + | 0.290282i | ||||
\(990\) | −1.06914 | + | 1.85181i | −0.0339795 | + | 0.0588543i | ||||
\(991\) | 11.4830 | − | 19.8891i | 0.364769 | − | 0.631799i | −0.623970 | − | 0.781448i | \(-0.714481\pi\) |
0.988739 | + | 0.149650i | \(0.0478146\pi\) | |||||||
\(992\) | 21.2074 | + | 36.7323i | 0.673336 | + | 1.16625i | ||||
\(993\) | −13.5226 | −0.429126 | ||||||||
\(994\) | 16.6570 | − | 12.5057i | 0.528329 | − | 0.396656i | ||||
\(995\) | 11.7553 | 0.372668 | ||||||||
\(996\) | −13.8474 | − | 23.9845i | −0.438773 | − | 0.759977i | ||||
\(997\) | −0.674488 | + | 1.16825i | −0.0213612 | + | 0.0369988i | −0.876508 | − | 0.481387i | \(-0.840133\pi\) |
0.855147 | + | 0.518385i | \(0.173467\pi\) | |||||||
\(998\) | 24.0566 | − | 41.6672i | 0.761498 | − | 1.31895i | ||||
\(999\) | −7.77383 | − | 13.4647i | −0.245953 | − | 0.426003i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))