Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [726,2,Mod(487,726)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(726, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("726.487");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 726 = 2 \cdot 3 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 726.e (of order \(5\), degree \(4\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.79713918674\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{10})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 66) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 493.1 | ||
Root | \(-0.309017 - 0.951057i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 726.493 |
Dual form | 726.2.e.m.511.1 |
$q$-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 \(\left(\mathbb{Z}/726\mathbb{Z}\right)^\times\).
\(n\) | \(485\) | \(607\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.309017 | + | 0.951057i | −0.218508 | + | 0.672499i | ||||
\(3\) | −0.809017 | + | 0.587785i | −0.467086 | + | 0.339358i | ||||
\(4\) | −0.809017 | − | 0.587785i | −0.404508 | − | 0.293893i | ||||
\(5\) | −1.23607 | − | 3.80423i | −0.552786 | − | 1.70130i | −0.701719 | − | 0.712454i | \(-0.747584\pi\) |
0.148932 | − | 0.988847i | \(-0.452416\pi\) | |||||||
\(6\) | −0.309017 | − | 0.951057i | −0.126156 | − | 0.388267i | ||||
\(7\) | −1.61803 | − | 1.17557i | −0.611559 | − | 0.444324i | 0.238404 | − | 0.971166i | \(-0.423376\pi\) |
−0.849963 | + | 0.526842i | \(0.823376\pi\) | |||||||
\(8\) | 0.809017 | − | 0.587785i | 0.286031 | − | 0.207813i | ||||
\(9\) | 0.309017 | − | 0.951057i | 0.103006 | − | 0.317019i | ||||
\(10\) | 4.00000 | 1.26491 | ||||||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 1.00000 | 0.288675 | ||||||||
\(13\) | −1.23607 | + | 3.80423i | −0.342824 | + | 1.05510i | 0.619915 | + | 0.784669i | \(0.287167\pi\) |
−0.962739 | + | 0.270434i | \(0.912833\pi\) | |||||||
\(14\) | 1.61803 | − | 1.17557i | 0.432438 | − | 0.314184i | ||||
\(15\) | 3.23607 | + | 2.35114i | 0.835549 | + | 0.607062i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | 0.618034 | + | 1.90211i | 0.149895 | + | 0.461330i | 0.997608 | − | 0.0691254i | \(-0.0220209\pi\) |
−0.847713 | + | 0.530456i | \(0.822021\pi\) | |||||||
\(18\) | 0.809017 | + | 0.587785i | 0.190687 | + | 0.138542i | ||||
\(19\) | 0 | 0 | −0.587785 | − | 0.809017i | \(-0.700000\pi\) | ||||
0.587785 | + | 0.809017i | \(0.300000\pi\) | |||||||
\(20\) | −1.23607 | + | 3.80423i | −0.276393 | + | 0.850651i | ||||
\(21\) | 2.00000 | 0.436436 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −6.00000 | −1.25109 | −0.625543 | − | 0.780189i | \(-0.715123\pi\) | ||||
−0.625543 | + | 0.780189i | \(0.715123\pi\) | |||||||
\(24\) | −0.309017 | + | 0.951057i | −0.0630778 | + | 0.194134i | ||||
\(25\) | −8.89919 | + | 6.46564i | −1.77984 | + | 1.29313i | ||||
\(26\) | −3.23607 | − | 2.35114i | −0.634645 | − | 0.461097i | ||||
\(27\) | 0.309017 | + | 0.951057i | 0.0594703 | + | 0.183031i | ||||
\(28\) | 0.618034 | + | 1.90211i | 0.116797 | + | 0.359466i | ||||
\(29\) | 8.09017 | + | 5.87785i | 1.50231 | + | 1.09149i | 0.969451 | + | 0.245284i | \(0.0788811\pi\) |
0.532855 | + | 0.846206i | \(0.321119\pi\) | |||||||
\(30\) | −3.23607 | + | 2.35114i | −0.590822 | + | 0.429258i | ||||
\(31\) | −2.47214 | + | 7.60845i | −0.444009 | + | 1.36652i | 0.439558 | + | 0.898214i | \(0.355135\pi\) |
−0.883567 | + | 0.468304i | \(0.844865\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.00000 | −0.342997 | ||||||||
\(35\) | −2.47214 | + | 7.60845i | −0.417867 | + | 1.28606i | ||||
\(36\) | −0.809017 | + | 0.587785i | −0.134836 | + | 0.0979642i | ||||
\(37\) | 1.61803 | + | 1.17557i | 0.266003 | + | 0.193263i | 0.712789 | − | 0.701378i | \(-0.247432\pi\) |
−0.446786 | + | 0.894641i | \(0.647432\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −1.23607 | − | 3.80423i | −0.197929 | − | 0.609164i | ||||
\(40\) | −3.23607 | − | 2.35114i | −0.511667 | − | 0.371748i | ||||
\(41\) | 1.61803 | − | 1.17557i | 0.252694 | − | 0.183593i | −0.454226 | − | 0.890887i | \(-0.650084\pi\) |
0.706920 | + | 0.707293i | \(0.250084\pi\) | |||||||
\(42\) | −0.618034 | + | 1.90211i | −0.0953647 | + | 0.293502i | ||||
\(43\) | −4.00000 | −0.609994 | −0.304997 | − | 0.952353i | \(-0.598656\pi\) | ||||
−0.304997 | + | 0.952353i | \(0.598656\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −4.00000 | −0.596285 | ||||||||
\(46\) | 1.85410 | − | 5.70634i | 0.273372 | − | 0.841354i | ||||
\(47\) | 1.61803 | − | 1.17557i | 0.236015 | − | 0.171475i | −0.463491 | − | 0.886101i | \(-0.653403\pi\) |
0.699506 | + | 0.714627i | \(0.253403\pi\) | |||||||
\(48\) | −0.809017 | − | 0.587785i | −0.116772 | − | 0.0848395i | ||||
\(49\) | −0.927051 | − | 2.85317i | −0.132436 | − | 0.407596i | ||||
\(50\) | −3.39919 | − | 10.4616i | −0.480718 | − | 1.47950i | ||||
\(51\) | −1.61803 | − | 1.17557i | −0.226570 | − | 0.164613i | ||||
\(52\) | 3.23607 | − | 2.35114i | 0.448762 | − | 0.326045i | ||||
\(53\) | 1.23607 | − | 3.80423i | 0.169787 | − | 0.522551i | −0.829570 | − | 0.558403i | \(-0.811414\pi\) |
0.999357 | + | 0.0358519i | \(0.0114145\pi\) | |||||||
\(54\) | −1.00000 | −0.136083 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −2.00000 | −0.267261 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −8.09017 | + | 5.87785i | −1.06229 | + | 0.771800i | ||||
\(59\) | 0 | 0 | 0.587785 | − | 0.809017i | \(-0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(60\) | −1.23607 | − | 3.80423i | −0.159576 | − | 0.491123i | ||||
\(61\) | 2.47214 | + | 7.60845i | 0.316525 | + | 0.974162i | 0.975122 | + | 0.221667i | \(0.0711499\pi\) |
−0.658598 | + | 0.752495i | \(0.728850\pi\) | |||||||
\(62\) | −6.47214 | − | 4.70228i | −0.821962 | − | 0.597190i | ||||
\(63\) | −1.61803 | + | 1.17557i | −0.203853 | + | 0.148108i | ||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | 16.0000 | 1.98456 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −12.0000 | −1.46603 | −0.733017 | − | 0.680211i | \(-0.761888\pi\) | ||||
−0.733017 | + | 0.680211i | \(0.761888\pi\) | |||||||
\(68\) | 0.618034 | − | 1.90211i | 0.0749476 | − | 0.230665i | ||||
\(69\) | 4.85410 | − | 3.52671i | 0.584365 | − | 0.424566i | ||||
\(70\) | −6.47214 | − | 4.70228i | −0.773568 | − | 0.562030i | ||||
\(71\) | 0.618034 | + | 1.90211i | 0.0733471 | + | 0.225739i | 0.981009 | − | 0.193963i | \(-0.0621343\pi\) |
−0.907662 | + | 0.419703i | \(0.862134\pi\) | |||||||
\(72\) | −0.309017 | − | 0.951057i | −0.0364180 | − | 0.112083i | ||||
\(73\) | −4.85410 | − | 3.52671i | −0.568130 | − | 0.412770i | 0.266296 | − | 0.963891i | \(-0.414200\pi\) |
−0.834425 | + | 0.551121i | \(0.814200\pi\) | |||||||
\(74\) | −1.61803 | + | 1.17557i | −0.188093 | + | 0.136657i | ||||
\(75\) | 3.39919 | − | 10.4616i | 0.392504 | − | 1.20800i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 4.00000 | 0.452911 | ||||||||
\(79\) | −3.09017 | + | 9.51057i | −0.347671 | + | 1.07002i | 0.612467 | + | 0.790496i | \(0.290177\pi\) |
−0.960138 | + | 0.279526i | \(0.909823\pi\) | |||||||
\(80\) | 3.23607 | − | 2.35114i | 0.361803 | − | 0.262866i | ||||
\(81\) | −0.809017 | − | 0.587785i | −0.0898908 | − | 0.0653095i | ||||
\(82\) | 0.618034 | + | 1.90211i | 0.0682504 | + | 0.210053i | ||||
\(83\) | −1.23607 | − | 3.80423i | −0.135676 | − | 0.417568i | 0.860018 | − | 0.510263i | \(-0.170452\pi\) |
−0.995695 | + | 0.0926948i | \(0.970452\pi\) | |||||||
\(84\) | −1.61803 | − | 1.17557i | −0.176542 | − | 0.128265i | ||||
\(85\) | 6.47214 | − | 4.70228i | 0.702002 | − | 0.510034i | ||||
\(86\) | 1.23607 | − | 3.80423i | 0.133289 | − | 0.410220i | ||||
\(87\) | −10.0000 | −1.07211 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 10.0000 | 1.06000 | 0.529999 | − | 0.847998i | \(-0.322192\pi\) | ||||
0.529999 | + | 0.847998i | \(0.322192\pi\) | |||||||
\(90\) | 1.23607 | − | 3.80423i | 0.130293 | − | 0.401001i | ||||
\(91\) | 6.47214 | − | 4.70228i | 0.678464 | − | 0.492933i | ||||
\(92\) | 4.85410 | + | 3.52671i | 0.506075 | + | 0.367685i | ||||
\(93\) | −2.47214 | − | 7.60845i | −0.256349 | − | 0.788960i | ||||
\(94\) | 0.618034 | + | 1.90211i | 0.0637453 | + | 0.196188i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0.809017 | − | 0.587785i | 0.0825700 | − | 0.0599906i | ||||
\(97\) | −0.618034 | + | 1.90211i | −0.0627518 | + | 0.193130i | −0.977517 | − | 0.210855i | \(-0.932375\pi\) |
0.914766 | + | 0.403985i | \(0.132375\pi\) | |||||||
\(98\) | 3.00000 | 0.303046 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 11.0000 | 1.10000 | ||||||||
\(101\) | −0.618034 | + | 1.90211i | −0.0614967 | + | 0.189267i | −0.977085 | − | 0.212850i | \(-0.931726\pi\) |
0.915588 | + | 0.402117i | \(0.131726\pi\) | |||||||
\(102\) | 1.61803 | − | 1.17557i | 0.160209 | − | 0.116399i | ||||
\(103\) | −3.23607 | − | 2.35114i | −0.318859 | − | 0.231665i | 0.416829 | − | 0.908985i | \(-0.363141\pi\) |
−0.735689 | + | 0.677320i | \(0.763141\pi\) | |||||||
\(104\) | 1.23607 | + | 3.80423i | 0.121206 | + | 0.373035i | ||||
\(105\) | −2.47214 | − | 7.60845i | −0.241256 | − | 0.742509i | ||||
\(106\) | 3.23607 | + | 2.35114i | 0.314315 | + | 0.228363i | ||||
\(107\) | −9.70820 | + | 7.05342i | −0.938527 | + | 0.681880i | −0.948066 | − | 0.318074i | \(-0.896964\pi\) |
0.00953827 | + | 0.999955i | \(0.496964\pi\) | |||||||
\(108\) | 0.309017 | − | 0.951057i | 0.0297352 | − | 0.0915155i | ||||
\(109\) | −20.0000 | −1.91565 | −0.957826 | − | 0.287348i | \(-0.907226\pi\) | ||||
−0.957826 | + | 0.287348i | \(0.907226\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −2.00000 | −0.189832 | ||||||||
\(112\) | 0.618034 | − | 1.90211i | 0.0583987 | − | 0.179733i | ||||
\(113\) | 4.85410 | − | 3.52671i | 0.456636 | − | 0.331765i | −0.335575 | − | 0.942014i | \(-0.608930\pi\) |
0.792210 | + | 0.610249i | \(0.208930\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.41641 | + | 22.8254i | 0.691584 | + | 2.12848i | ||||
\(116\) | −3.09017 | − | 9.51057i | −0.286915 | − | 0.883034i | ||||
\(117\) | 3.23607 | + | 2.35114i | 0.299175 | + | 0.217363i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 1.23607 | − | 3.80423i | 0.113310 | − | 0.348733i | ||||
\(120\) | 4.00000 | 0.365148 | ||||||||
\(121\) | 0 | 0 | ||||||||
\(122\) | −8.00000 | −0.724286 | ||||||||
\(123\) | −0.618034 | + | 1.90211i | −0.0557262 | + | 0.171508i | ||||
\(124\) | 6.47214 | − | 4.70228i | 0.581215 | − | 0.422277i | ||||
\(125\) | 19.4164 | + | 14.1068i | 1.73666 | + | 1.26175i | ||||
\(126\) | −0.618034 | − | 1.90211i | −0.0550588 | − | 0.169454i | ||||
\(127\) | 6.79837 | + | 20.9232i | 0.603258 | + | 1.85664i | 0.508348 | + | 0.861152i | \(0.330256\pi\) |
0.0949102 | + | 0.995486i | \(0.469744\pi\) | |||||||
\(128\) | 0.809017 | + | 0.587785i | 0.0715077 | + | 0.0519534i | ||||
\(129\) | 3.23607 | − | 2.35114i | 0.284920 | − | 0.207006i | ||||
\(130\) | −4.94427 | + | 15.2169i | −0.433641 | + | 1.33461i | ||||
\(131\) | −12.0000 | −1.04844 | −0.524222 | − | 0.851581i | \(-0.675644\pi\) | ||||
−0.524222 | + | 0.851581i | \(0.675644\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 3.70820 | − | 11.4127i | 0.320340 | − | 0.985905i | ||||
\(135\) | 3.23607 | − | 2.35114i | 0.278516 | − | 0.202354i | ||||
\(136\) | 1.61803 | + | 1.17557i | 0.138745 | + | 0.100804i | ||||
\(137\) | −0.618034 | − | 1.90211i | −0.0528022 | − | 0.162508i | 0.921178 | − | 0.389141i | \(-0.127228\pi\) |
−0.973980 | + | 0.226633i | \(0.927228\pi\) | |||||||
\(138\) | 1.85410 | + | 5.70634i | 0.157832 | + | 0.485756i | ||||
\(139\) | 0 | 0 | 0.587785 | − | 0.809017i | \(-0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(140\) | 6.47214 | − | 4.70228i | 0.546995 | − | 0.397415i | ||||
\(141\) | −0.618034 | + | 1.90211i | −0.0520479 | + | 0.160187i | ||||
\(142\) | −2.00000 | −0.167836 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 1.00000 | 0.0833333 | ||||||||
\(145\) | 12.3607 | − | 38.0423i | 1.02650 | − | 3.15924i | ||||
\(146\) | 4.85410 | − | 3.52671i | 0.401728 | − | 0.291873i | ||||
\(147\) | 2.42705 | + | 1.76336i | 0.200180 | + | 0.145439i | ||||
\(148\) | −0.618034 | − | 1.90211i | −0.0508021 | − | 0.156353i | ||||
\(149\) | 3.09017 | + | 9.51057i | 0.253157 | + | 0.779136i | 0.994187 | + | 0.107665i | \(0.0343373\pi\) |
−0.741031 | + | 0.671471i | \(0.765663\pi\) | |||||||
\(150\) | 8.89919 | + | 6.46564i | 0.726616 | + | 0.527917i | ||||
\(151\) | 1.61803 | − | 1.17557i | 0.131674 | − | 0.0956666i | −0.519999 | − | 0.854167i | \(-0.674068\pi\) |
0.651673 | + | 0.758500i | \(0.274068\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 2.00000 | 0.161690 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 32.0000 | 2.57030 | ||||||||
\(156\) | −1.23607 | + | 3.80423i | −0.0989646 | + | 0.304582i | ||||
\(157\) | −14.5623 | + | 10.5801i | −1.16220 | + | 0.844387i | −0.990054 | − | 0.140685i | \(-0.955069\pi\) |
−0.172144 | + | 0.985072i | \(0.555069\pi\) | |||||||
\(158\) | −8.09017 | − | 5.87785i | −0.643619 | − | 0.467617i | ||||
\(159\) | 1.23607 | + | 3.80423i | 0.0980266 | + | 0.301695i | ||||
\(160\) | 1.23607 | + | 3.80423i | 0.0977198 | + | 0.300750i | ||||
\(161\) | 9.70820 | + | 7.05342i | 0.765114 | + | 0.555888i | ||||
\(162\) | 0.809017 | − | 0.587785i | 0.0635624 | − | 0.0461808i | ||||
\(163\) | 1.23607 | − | 3.80423i | 0.0968163 | − | 0.297970i | −0.890906 | − | 0.454187i | \(-0.849930\pi\) |
0.987723 | + | 0.156217i | \(0.0499299\pi\) | |||||||
\(164\) | −2.00000 | −0.156174 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.00000 | 0.310460 | ||||||||
\(167\) | 3.70820 | − | 11.4127i | 0.286949 | − | 0.883140i | −0.698858 | − | 0.715260i | \(-0.746308\pi\) |
0.985808 | − | 0.167879i | \(-0.0536919\pi\) | |||||||
\(168\) | 1.61803 | − | 1.17557i | 0.124834 | − | 0.0906972i | ||||
\(169\) | −2.42705 | − | 1.76336i | −0.186696 | − | 0.135643i | ||||
\(170\) | 2.47214 | + | 7.60845i | 0.189604 | + | 0.583542i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.23607 | + | 2.35114i | 0.246748 | + | 0.179273i | ||||
\(173\) | −4.85410 | + | 3.52671i | −0.369051 | + | 0.268131i | −0.756817 | − | 0.653627i | \(-0.773247\pi\) |
0.387767 | + | 0.921758i | \(0.373247\pi\) | |||||||
\(174\) | 3.09017 | − | 9.51057i | 0.234265 | − | 0.720994i | ||||
\(175\) | 22.0000 | 1.66304 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −3.09017 | + | 9.51057i | −0.231618 | + | 0.712847i | ||||
\(179\) | 0 | 0 | −0.587785 | − | 0.809017i | \(-0.700000\pi\) | ||||
0.587785 | + | 0.809017i | \(0.300000\pi\) | |||||||
\(180\) | 3.23607 | + | 2.35114i | 0.241202 | + | 0.175244i | ||||
\(181\) | 0.618034 | + | 1.90211i | 0.0459381 | + | 0.141383i | 0.971395 | − | 0.237471i | \(-0.0763184\pi\) |
−0.925457 | + | 0.378854i | \(0.876318\pi\) | |||||||
\(182\) | 2.47214 | + | 7.60845i | 0.183247 | + | 0.563976i | ||||
\(183\) | −6.47214 | − | 4.70228i | −0.478434 | − | 0.347603i | ||||
\(184\) | −4.85410 | + | 3.52671i | −0.357849 | + | 0.259993i | ||||
\(185\) | 2.47214 | − | 7.60845i | 0.181755 | − | 0.559385i | ||||
\(186\) | 8.00000 | 0.586588 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −2.00000 | −0.145865 | ||||||||
\(189\) | 0.618034 | − | 1.90211i | 0.0449554 | − | 0.138358i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −17.7984 | − | 12.9313i | −1.28785 | − | 0.935674i | −0.288086 | − | 0.957605i | \(-0.593019\pi\) |
−0.999760 | + | 0.0219304i | \(0.993019\pi\) | |||||||
\(192\) | 0.309017 | + | 0.951057i | 0.0223014 | + | 0.0686366i | ||||
\(193\) | −4.32624 | − | 13.3148i | −0.311409 | − | 0.958420i | −0.977207 | − | 0.212287i | \(-0.931909\pi\) |
0.665798 | − | 0.746132i | \(-0.268091\pi\) | |||||||
\(194\) | −1.61803 | − | 1.17557i | −0.116168 | − | 0.0844010i | ||||
\(195\) | −12.9443 | + | 9.40456i | −0.926959 | + | 0.673475i | ||||
\(196\) | −0.927051 | + | 2.85317i | −0.0662179 | + | 0.203798i | ||||
\(197\) | −18.0000 | −1.28245 | −0.641223 | − | 0.767354i | \(-0.721573\pi\) | ||||
−0.641223 | + | 0.767354i | \(0.721573\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 20.0000 | 1.41776 | 0.708881 | − | 0.705328i | \(-0.249200\pi\) | ||||
0.708881 | + | 0.705328i | \(0.249200\pi\) | |||||||
\(200\) | −3.39919 | + | 10.4616i | −0.240359 | + | 0.739748i | ||||
\(201\) | 9.70820 | − | 7.05342i | 0.684764 | − | 0.497510i | ||||
\(202\) | −1.61803 | − | 1.17557i | −0.113844 | − | 0.0827129i | ||||
\(203\) | −6.18034 | − | 19.0211i | −0.433775 | − | 1.33502i | ||||
\(204\) | 0.618034 | + | 1.90211i | 0.0432710 | + | 0.133175i | ||||
\(205\) | −6.47214 | − | 4.70228i | −0.452034 | − | 0.328422i | ||||
\(206\) | 3.23607 | − | 2.35114i | 0.225468 | − | 0.163812i | ||||
\(207\) | −1.85410 | + | 5.70634i | −0.128869 | + | 0.396618i | ||||
\(208\) | −4.00000 | −0.277350 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 8.00000 | 0.552052 | ||||||||
\(211\) | −3.70820 | + | 11.4127i | −0.255283 | + | 0.785681i | 0.738490 | + | 0.674264i | \(0.235539\pi\) |
−0.993774 | + | 0.111417i | \(0.964461\pi\) | |||||||
\(212\) | −3.23607 | + | 2.35114i | −0.222254 | + | 0.161477i | ||||
\(213\) | −1.61803 | − | 1.17557i | −0.110866 | − | 0.0805488i | ||||
\(214\) | −3.70820 | − | 11.4127i | −0.253488 | − | 0.780155i | ||||
\(215\) | 4.94427 | + | 15.2169i | 0.337197 | + | 1.03778i | ||||
\(216\) | 0.809017 | + | 0.587785i | 0.0550466 | + | 0.0399937i | ||||
\(217\) | 12.9443 | − | 9.40456i | 0.878714 | − | 0.638423i | ||||
\(218\) | 6.18034 | − | 19.0211i | 0.418585 | − | 1.28827i | ||||
\(219\) | 6.00000 | 0.405442 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −8.00000 | −0.538138 | ||||||||
\(222\) | 0.618034 | − | 1.90211i | 0.0414797 | − | 0.127661i | ||||
\(223\) | 12.9443 | − | 9.40456i | 0.866813 | − | 0.629776i | −0.0629172 | − | 0.998019i | \(-0.520040\pi\) |
0.929730 | + | 0.368243i | \(0.120040\pi\) | |||||||
\(224\) | 1.61803 | + | 1.17557i | 0.108109 | + | 0.0785461i | ||||
\(225\) | 3.39919 | + | 10.4616i | 0.226612 | + | 0.697441i | ||||
\(226\) | 1.85410 | + | 5.70634i | 0.123333 | + | 0.379580i | ||||
\(227\) | −9.70820 | − | 7.05342i | −0.644356 | − | 0.468152i | 0.216988 | − | 0.976174i | \(-0.430377\pi\) |
−0.861344 | + | 0.508022i | \(0.830377\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.09017 | − | 9.51057i | 0.204204 | − | 0.628476i | −0.795541 | − | 0.605900i | \(-0.792813\pi\) |
0.999745 | − | 0.0225760i | \(-0.00718678\pi\) | |||||||
\(230\) | −24.0000 | −1.58251 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 10.0000 | 0.656532 | ||||||||
\(233\) | 1.85410 | − | 5.70634i | 0.121466 | − | 0.373835i | −0.871774 | − | 0.489907i | \(-0.837031\pi\) |
0.993241 | + | 0.116073i | \(0.0370306\pi\) | |||||||
\(234\) | −3.23607 | + | 2.35114i | −0.211548 | + | 0.153699i | ||||
\(235\) | −6.47214 | − | 4.70228i | −0.422196 | − | 0.306743i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −3.09017 | − | 9.51057i | −0.200728 | − | 0.617778i | ||||
\(238\) | 3.23607 | + | 2.35114i | 0.209763 | + | 0.152402i | ||||
\(239\) | −16.1803 | + | 11.7557i | −1.04662 | + | 0.760413i | −0.971567 | − | 0.236766i | \(-0.923912\pi\) |
−0.0750525 | + | 0.997180i | \(0.523912\pi\) | |||||||
\(240\) | −1.23607 | + | 3.80423i | −0.0797878 | + | 0.245562i | ||||
\(241\) | 18.0000 | 1.15948 | 0.579741 | − | 0.814801i | \(-0.303154\pi\) | ||||
0.579741 | + | 0.814801i | \(0.303154\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | 2.47214 | − | 7.60845i | 0.158262 | − | 0.487081i | ||||
\(245\) | −9.70820 | + | 7.05342i | −0.620234 | + | 0.450627i | ||||
\(246\) | −1.61803 | − | 1.17557i | −0.103162 | − | 0.0749516i | ||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 2.47214 | + | 7.60845i | 0.156981 | + | 0.483137i | ||||
\(249\) | 3.23607 | + | 2.35114i | 0.205077 | + | 0.148998i | ||||
\(250\) | −19.4164 | + | 14.1068i | −1.22800 | + | 0.892195i | ||||
\(251\) | −2.47214 | + | 7.60845i | −0.156040 | + | 0.480241i | −0.998265 | − | 0.0588851i | \(-0.981245\pi\) |
0.842225 | + | 0.539126i | \(0.181245\pi\) | |||||||
\(252\) | 2.00000 | 0.125988 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −22.0000 | −1.38040 | ||||||||
\(255\) | −2.47214 | + | 7.60845i | −0.154811 | + | 0.476460i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −14.5623 | − | 10.5801i | −0.908372 | − | 0.659971i | 0.0322308 | − | 0.999480i | \(-0.489739\pi\) |
−0.940603 | + | 0.339510i | \(0.889739\pi\) | |||||||
\(258\) | 1.23607 | + | 3.80423i | 0.0769542 | + | 0.236841i | ||||
\(259\) | −1.23607 | − | 3.80423i | −0.0768055 | − | 0.236383i | ||||
\(260\) | −12.9443 | − | 9.40456i | −0.802770 | − | 0.583246i | ||||
\(261\) | 8.09017 | − | 5.87785i | 0.500769 | − | 0.363830i | ||||
\(262\) | 3.70820 | − | 11.4127i | 0.229094 | − | 0.705078i | ||||
\(263\) | 16.0000 | 0.986602 | 0.493301 | − | 0.869859i | \(-0.335790\pi\) | ||||
0.493301 | + | 0.869859i | \(0.335790\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −16.0000 | −0.982872 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −8.09017 | + | 5.87785i | −0.495110 | + | 0.359719i | ||||
\(268\) | 9.70820 | + | 7.05342i | 0.593023 | + | 0.430856i | ||||
\(269\) | −6.18034 | − | 19.0211i | −0.376822 | − | 1.15974i | −0.942241 | − | 0.334935i | \(-0.891286\pi\) |
0.565419 | − | 0.824804i | \(-0.308714\pi\) | |||||||
\(270\) | 1.23607 | + | 3.80423i | 0.0752247 | + | 0.231518i | ||||
\(271\) | 17.7984 | + | 12.9313i | 1.08117 | + | 0.785519i | 0.977887 | − | 0.209133i | \(-0.0670640\pi\) |
0.103287 | + | 0.994652i | \(0.467064\pi\) | |||||||
\(272\) | −1.61803 | + | 1.17557i | −0.0981077 | + | 0.0712794i | ||||
\(273\) | −2.47214 | + | 7.60845i | −0.149620 | + | 0.460484i | ||||
\(274\) | 2.00000 | 0.120824 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −6.00000 | −0.361158 | ||||||||
\(277\) | −2.47214 | + | 7.60845i | −0.148536 | + | 0.457148i | −0.997449 | − | 0.0713858i | \(-0.977258\pi\) |
0.848913 | + | 0.528533i | \(0.177258\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 6.47214 | + | 4.70228i | 0.387477 | + | 0.281518i | ||||
\(280\) | 2.47214 | + | 7.60845i | 0.147738 | + | 0.454692i | ||||
\(281\) | −6.79837 | − | 20.9232i | −0.405557 | − | 1.24818i | −0.920429 | − | 0.390909i | \(-0.872161\pi\) |
0.514872 | − | 0.857267i | \(-0.327839\pi\) | |||||||
\(282\) | −1.61803 | − | 1.17557i | −0.0963525 | − | 0.0700042i | ||||
\(283\) | 3.23607 | − | 2.35114i | 0.192364 | − | 0.139761i | −0.487434 | − | 0.873160i | \(-0.662067\pi\) |
0.679799 | + | 0.733399i | \(0.262067\pi\) | |||||||
\(284\) | 0.618034 | − | 1.90211i | 0.0366736 | − | 0.112870i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −4.00000 | −0.236113 | ||||||||
\(288\) | −0.309017 | + | 0.951057i | −0.0182090 | + | 0.0560415i | ||||
\(289\) | 10.5172 | − | 7.64121i | 0.618660 | − | 0.449483i | ||||
\(290\) | 32.3607 | + | 23.5114i | 1.90028 | + | 1.38064i | ||||
\(291\) | −0.618034 | − | 1.90211i | −0.0362298 | − | 0.111504i | ||||
\(292\) | 1.85410 | + | 5.70634i | 0.108503 | + | 0.333938i | ||||
\(293\) | 11.3262 | + | 8.22899i | 0.661686 | + | 0.480743i | 0.867232 | − | 0.497905i | \(-0.165897\pi\) |
−0.205546 | + | 0.978647i | \(0.565897\pi\) | |||||||
\(294\) | −2.42705 | + | 1.76336i | −0.141548 | + | 0.102841i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 2.00000 | 0.116248 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −10.0000 | −0.579284 | ||||||||
\(299\) | 7.41641 | − | 22.8254i | 0.428902 | − | 1.32002i | ||||
\(300\) | −8.89919 | + | 6.46564i | −0.513795 | + | 0.373294i | ||||
\(301\) | 6.47214 | + | 4.70228i | 0.373048 | + | 0.271035i | ||||
\(302\) | 0.618034 | + | 1.90211i | 0.0355639 | + | 0.109454i | ||||
\(303\) | −0.618034 | − | 1.90211i | −0.0355051 | − | 0.109274i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 25.8885 | − | 18.8091i | 1.48237 | − | 1.07701i | ||||
\(306\) | −0.618034 | + | 1.90211i | −0.0353307 | + | 0.108737i | ||||
\(307\) | −8.00000 | −0.456584 | −0.228292 | − | 0.973593i | \(-0.573314\pi\) | ||||
−0.228292 | + | 0.973593i | \(0.573314\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 4.00000 | 0.227552 | ||||||||
\(310\) | −9.88854 | + | 30.4338i | −0.561632 | + | 1.72852i | ||||
\(311\) | −1.61803 | + | 1.17557i | −0.0917503 | + | 0.0666605i | −0.632715 | − | 0.774385i | \(-0.718059\pi\) |
0.540964 | + | 0.841046i | \(0.318059\pi\) | |||||||
\(312\) | −3.23607 | − | 2.35114i | −0.183206 | − | 0.133107i | ||||
\(313\) | −1.85410 | − | 5.70634i | −0.104800 | − | 0.322541i | 0.884883 | − | 0.465813i | \(-0.154238\pi\) |
−0.989683 | + | 0.143271i | \(0.954238\pi\) | |||||||
\(314\) | −5.56231 | − | 17.1190i | −0.313899 | − | 0.966082i | ||||
\(315\) | 6.47214 | + | 4.70228i | 0.364664 | + | 0.264944i | ||||
\(316\) | 8.09017 | − | 5.87785i | 0.455108 | − | 0.330655i | ||||
\(317\) | −9.88854 | + | 30.4338i | −0.555396 | + | 1.70933i | 0.139499 | + | 0.990222i | \(0.455451\pi\) |
−0.694895 | + | 0.719111i | \(0.744549\pi\) | |||||||
\(318\) | −4.00000 | −0.224309 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −4.00000 | −0.223607 | ||||||||
\(321\) | 3.70820 | − | 11.4127i | 0.206972 | − | 0.636994i | ||||
\(322\) | −9.70820 | + | 7.05342i | −0.541017 | + | 0.393072i | ||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 0.309017 | + | 0.951057i | 0.0171676 | + | 0.0528365i | ||||
\(325\) | −13.5967 | − | 41.8465i | −0.754212 | − | 2.32123i | ||||
\(326\) | 3.23607 | + | 2.35114i | 0.179229 | + | 0.130218i | ||||
\(327\) | 16.1803 | − | 11.7557i | 0.894775 | − | 0.650092i | ||||
\(328\) | 0.618034 | − | 1.90211i | 0.0341252 | − | 0.105027i | ||||
\(329\) | −4.00000 | −0.220527 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −28.0000 | −1.53902 | −0.769510 | − | 0.638635i | \(-0.779499\pi\) | ||||
−0.769510 | + | 0.638635i | \(0.779499\pi\) | |||||||
\(332\) | −1.23607 | + | 3.80423i | −0.0678380 | + | 0.208784i | ||||
\(333\) | 1.61803 | − | 1.17557i | 0.0886677 | − | 0.0644209i | ||||
\(334\) | 9.70820 | + | 7.05342i | 0.531209 | + | 0.385946i | ||||
\(335\) | 14.8328 | + | 45.6507i | 0.810403 | + | 2.49416i | ||||
\(336\) | 0.618034 | + | 1.90211i | 0.0337165 | + | 0.103769i | ||||
\(337\) | −17.7984 | − | 12.9313i | −0.969539 | − | 0.704411i | −0.0141927 | − | 0.999899i | \(-0.504518\pi\) |
−0.955347 | + | 0.295488i | \(0.904518\pi\) | |||||||
\(338\) | 2.42705 | − | 1.76336i | 0.132014 | − | 0.0959139i | ||||
\(339\) | −1.85410 | + | 5.70634i | −0.100701 | + | 0.309926i | ||||
\(340\) | −8.00000 | −0.433861 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −6.18034 | + | 19.0211i | −0.333707 | + | 1.02704i | ||||
\(344\) | −3.23607 | + | 2.35114i | −0.174477 | + | 0.126765i | ||||
\(345\) | −19.4164 | − | 14.1068i | −1.04534 | − | 0.759487i | ||||
\(346\) | −1.85410 | − | 5.70634i | −0.0996771 | − | 0.306775i | ||||
\(347\) | 3.70820 | + | 11.4127i | 0.199067 | + | 0.612665i | 0.999905 | + | 0.0137839i | \(0.00438768\pi\) |
−0.800838 | + | 0.598881i | \(0.795612\pi\) | |||||||
\(348\) | 8.09017 | + | 5.87785i | 0.433679 | + | 0.315086i | ||||
\(349\) | −16.1803 | + | 11.7557i | −0.866114 | + | 0.629268i | −0.929541 | − | 0.368718i | \(-0.879797\pi\) |
0.0634276 | + | 0.997986i | \(0.479797\pi\) | |||||||
\(350\) | −6.79837 | + | 20.9232i | −0.363388 | + | 1.11839i | ||||
\(351\) | −4.00000 | −0.213504 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −6.00000 | −0.319348 | −0.159674 | − | 0.987170i | \(-0.551044\pi\) | ||||
−0.159674 | + | 0.987170i | \(0.551044\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 6.47214 | − | 4.70228i | 0.343505 | − | 0.249571i | ||||
\(356\) | −8.09017 | − | 5.87785i | −0.428778 | − | 0.311526i | ||||
\(357\) | 1.23607 | + | 3.80423i | 0.0654197 | + | 0.201341i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −16.1803 | − | 11.7557i | −0.853966 | − | 0.620442i | 0.0722709 | − | 0.997385i | \(-0.476975\pi\) |
−0.926237 | + | 0.376943i | \(0.876975\pi\) | |||||||
\(360\) | −3.23607 | + | 2.35114i | −0.170556 | + | 0.123916i | ||||
\(361\) | −5.87132 | + | 18.0701i | −0.309017 | + | 0.951057i | ||||
\(362\) | −2.00000 | −0.105118 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −8.00000 | −0.419314 | ||||||||
\(365\) | −7.41641 | + | 22.8254i | −0.388193 | + | 1.19473i | ||||
\(366\) | 6.47214 | − | 4.70228i | 0.338304 | − | 0.245792i | ||||
\(367\) | −6.47214 | − | 4.70228i | −0.337843 | − | 0.245457i | 0.405908 | − | 0.913914i | \(-0.366955\pi\) |
−0.743751 | + | 0.668457i | \(0.766955\pi\) | |||||||
\(368\) | −1.85410 | − | 5.70634i | −0.0966517 | − | 0.297463i | ||||
\(369\) | −0.618034 | − | 1.90211i | −0.0321736 | − | 0.0990200i | ||||
\(370\) | 6.47214 | + | 4.70228i | 0.336470 | + | 0.244460i | ||||
\(371\) | −6.47214 | + | 4.70228i | −0.336017 | + | 0.244130i | ||||
\(372\) | −2.47214 | + | 7.60845i | −0.128174 | + | 0.394480i | ||||
\(373\) | −4.00000 | −0.207112 | −0.103556 | − | 0.994624i | \(-0.533022\pi\) | ||||
−0.103556 | + | 0.994624i | \(0.533022\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −24.0000 | −1.23935 | ||||||||
\(376\) | 0.618034 | − | 1.90211i | 0.0318727 | − | 0.0980940i | ||||
\(377\) | −32.3607 | + | 23.5114i | −1.66666 | + | 1.21090i | ||||
\(378\) | 1.61803 | + | 1.17557i | 0.0832227 | + | 0.0604648i | ||||
\(379\) | −6.18034 | − | 19.0211i | −0.317463 | − | 0.977050i | −0.974729 | − | 0.223391i | \(-0.928287\pi\) |
0.657266 | − | 0.753659i | \(-0.271713\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −17.7984 | − | 12.9313i | −0.911838 | − | 0.662489i | ||||
\(382\) | 17.7984 | − | 12.9313i | 0.910644 | − | 0.661622i | ||||
\(383\) | −1.85410 | + | 5.70634i | −0.0947402 | + | 0.291580i | −0.987186 | − | 0.159575i | \(-0.948988\pi\) |
0.892446 | + | 0.451155i | \(0.148988\pi\) | |||||||
\(384\) | −1.00000 | −0.0510310 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 14.0000 | 0.712581 | ||||||||
\(387\) | −1.23607 | + | 3.80423i | −0.0628329 | + | 0.193380i | ||||
\(388\) | 1.61803 | − | 1.17557i | 0.0821432 | − | 0.0596806i | ||||
\(389\) | 16.1803 | + | 11.7557i | 0.820376 | + | 0.596038i | 0.916820 | − | 0.399300i | \(-0.130747\pi\) |
−0.0964443 | + | 0.995338i | \(0.530747\pi\) | |||||||
\(390\) | −4.94427 | − | 15.2169i | −0.250363 | − | 0.770538i | ||||
\(391\) | −3.70820 | − | 11.4127i | −0.187532 | − | 0.577164i | ||||
\(392\) | −2.42705 | − | 1.76336i | −0.122585 | − | 0.0890629i | ||||
\(393\) | 9.70820 | − | 7.05342i | 0.489714 | − | 0.355798i | ||||
\(394\) | 5.56231 | − | 17.1190i | 0.280225 | − | 0.862444i | ||||
\(395\) | 40.0000 | 2.01262 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 18.0000 | 0.903394 | 0.451697 | − | 0.892171i | \(-0.350819\pi\) | ||||
0.451697 | + | 0.892171i | \(0.350819\pi\) | |||||||
\(398\) | −6.18034 | + | 19.0211i | −0.309792 | + | 0.953443i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −8.89919 | − | 6.46564i | −0.444959 | − | 0.323282i | ||||
\(401\) | −5.56231 | − | 17.1190i | −0.277768 | − | 0.854883i | −0.988474 | − | 0.151393i | \(-0.951624\pi\) |
0.710705 | − | 0.703490i | \(-0.248376\pi\) | |||||||
\(402\) | 3.70820 | + | 11.4127i | 0.184948 | + | 0.569213i | ||||
\(403\) | −25.8885 | − | 18.8091i | −1.28960 | − | 0.936949i | ||||
\(404\) | 1.61803 | − | 1.17557i | 0.0805002 | − | 0.0584868i | ||||
\(405\) | −1.23607 | + | 3.80423i | −0.0614207 | + | 0.189034i | ||||
\(406\) | 20.0000 | 0.992583 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −2.00000 | −0.0990148 | ||||||||
\(409\) | 3.09017 | − | 9.51057i | 0.152799 | − | 0.470267i | −0.845132 | − | 0.534557i | \(-0.820478\pi\) |
0.997931 | + | 0.0642902i | \(0.0204783\pi\) | |||||||
\(410\) | 6.47214 | − | 4.70228i | 0.319636 | − | 0.232229i | ||||
\(411\) | 1.61803 | + | 1.17557i | 0.0798117 | + | 0.0579866i | ||||
\(412\) | 1.23607 | + | 3.80423i | 0.0608967 | + | 0.187421i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −4.85410 | − | 3.52671i | −0.238566 | − | 0.173328i | ||||
\(415\) | −12.9443 | + | 9.40456i | −0.635409 | + | 0.461652i | ||||
\(416\) | 1.23607 | − | 3.80423i | 0.0606032 | − | 0.186518i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(420\) | −2.47214 | + | 7.60845i | −0.120628 | + | 0.371254i | ||||
\(421\) | 14.5623 | − | 10.5801i | 0.709723 | − | 0.515644i | −0.173361 | − | 0.984858i | \(-0.555463\pi\) |
0.883084 | + | 0.469214i | \(0.155463\pi\) | |||||||
\(422\) | −9.70820 | − | 7.05342i | −0.472588 | − | 0.343355i | ||||
\(423\) | −0.618034 | − | 1.90211i | −0.0300498 | − | 0.0924839i | ||||
\(424\) | −1.23607 | − | 3.80423i | −0.0600288 | − | 0.184750i | ||||
\(425\) | −17.7984 | − | 12.9313i | −0.863348 | − | 0.627259i | ||||
\(426\) | 1.61803 | − | 1.17557i | 0.0783940 | − | 0.0569566i | ||||
\(427\) | 4.94427 | − | 15.2169i | 0.239270 | − | 0.736398i | ||||
\(428\) | 12.0000 | 0.580042 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −16.0000 | −0.771589 | ||||||||
\(431\) | −9.88854 | + | 30.4338i | −0.476314 | + | 1.46594i | 0.367862 | + | 0.929880i | \(0.380090\pi\) |
−0.844177 | + | 0.536065i | \(0.819910\pi\) | |||||||
\(432\) | −0.809017 | + | 0.587785i | −0.0389238 | + | 0.0282798i | ||||
\(433\) | 4.85410 | + | 3.52671i | 0.233273 | + | 0.169483i | 0.698281 | − | 0.715824i | \(-0.253949\pi\) |
−0.465008 | + | 0.885307i | \(0.653949\pi\) | |||||||
\(434\) | 4.94427 | + | 15.2169i | 0.237333 | + | 0.730435i | ||||
\(435\) | 12.3607 | + | 38.0423i | 0.592649 | + | 1.82399i | ||||
\(436\) | 16.1803 | + | 11.7557i | 0.774898 | + | 0.562996i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | −1.85410 | + | 5.70634i | −0.0885924 | + | 0.272659i | ||||
\(439\) | −10.0000 | −0.477274 | −0.238637 | − | 0.971109i | \(-0.576701\pi\) | ||||
−0.238637 | + | 0.971109i | \(0.576701\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −3.00000 | −0.142857 | ||||||||
\(442\) | 2.47214 | − | 7.60845i | 0.117588 | − | 0.361897i | ||||
\(443\) | −19.4164 | + | 14.1068i | −0.922501 | + | 0.670236i | −0.944145 | − | 0.329529i | \(-0.893110\pi\) |
0.0216440 | + | 0.999766i | \(0.493110\pi\) | |||||||
\(444\) | 1.61803 | + | 1.17557i | 0.0767885 | + | 0.0557901i | ||||
\(445\) | −12.3607 | − | 38.0423i | −0.585952 | − | 1.80338i | ||||
\(446\) | 4.94427 | + | 15.2169i | 0.234118 | + | 0.720541i | ||||
\(447\) | −8.09017 | − | 5.87785i | −0.382652 | − | 0.278013i | ||||
\(448\) | −1.61803 | + | 1.17557i | −0.0764449 | + | 0.0555405i | ||||
\(449\) | 9.27051 | − | 28.5317i | 0.437502 | − | 1.34649i | −0.452998 | − | 0.891512i | \(-0.649646\pi\) |
0.890500 | − | 0.454982i | \(-0.150354\pi\) | |||||||
\(450\) | −11.0000 | −0.518545 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −6.00000 | −0.282216 | ||||||||
\(453\) | −0.618034 | + | 1.90211i | −0.0290378 | + | 0.0893691i | ||||
\(454\) | 9.70820 | − | 7.05342i | 0.455629 | − | 0.331034i | ||||
\(455\) | −25.8885 | − | 18.8091i | −1.21367 | − | 0.881786i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0.618034 | + | 1.90211i | 0.0289104 | + | 0.0889771i | 0.964471 | − | 0.264190i | \(-0.0851047\pi\) |
−0.935560 | + | 0.353167i | \(0.885105\pi\) | |||||||
\(458\) | 8.09017 | + | 5.87785i | 0.378029 | + | 0.274654i | ||||
\(459\) | −1.61803 | + | 1.17557i | −0.0755234 | + | 0.0548709i | ||||
\(460\) | 7.41641 | − | 22.8254i | 0.345792 | − | 1.06424i | ||||
\(461\) | 18.0000 | 0.838344 | 0.419172 | − | 0.907907i | \(-0.362320\pi\) | ||||
0.419172 | + | 0.907907i | \(0.362320\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 4.00000 | 0.185896 | 0.0929479 | − | 0.995671i | \(-0.470371\pi\) | ||||
0.0929479 | + | 0.995671i | \(0.470371\pi\) | |||||||
\(464\) | −3.09017 | + | 9.51057i | −0.143458 | + | 0.441517i | ||||
\(465\) | −25.8885 | + | 18.8091i | −1.20055 | + | 0.872252i | ||||
\(466\) | 4.85410 | + | 3.52671i | 0.224862 | + | 0.163372i | ||||
\(467\) | 8.65248 | + | 26.6296i | 0.400389 | + | 1.23227i | 0.924685 | + | 0.380734i | \(0.124329\pi\) |
−0.524296 | + | 0.851536i | \(0.675671\pi\) | |||||||
\(468\) | −1.23607 | − | 3.80423i | −0.0571373 | − | 0.175850i | ||||
\(469\) | 19.4164 | + | 14.1068i | 0.896566 | + | 0.651394i | ||||
\(470\) | 6.47214 | − | 4.70228i | 0.298537 | − | 0.216900i | ||||
\(471\) | 5.56231 | − | 17.1190i | 0.256298 | − | 0.788803i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 10.0000 | 0.459315 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −3.23607 | + | 2.35114i | −0.148325 | + | 0.107764i | ||||
\(477\) | −3.23607 | − | 2.35114i | −0.148169 | − | 0.107651i | ||||
\(478\) | −6.18034 | − | 19.0211i | −0.282682 | − | 0.870006i | ||||
\(479\) | −12.3607 | − | 38.0423i | −0.564774 | − | 1.73820i | −0.668622 | − | 0.743602i | \(-0.733116\pi\) |
0.103848 | − | 0.994593i | \(-0.466884\pi\) | |||||||
\(480\) | −3.23607 | − | 2.35114i | −0.147706 | − | 0.107314i | ||||
\(481\) | −6.47214 | + | 4.70228i | −0.295104 | + | 0.214406i | ||||
\(482\) | −5.56231 | + | 17.1190i | −0.253356 | + | 0.779750i | ||||
\(483\) | −12.0000 | −0.546019 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 8.00000 | 0.363261 | ||||||||
\(486\) | −0.309017 | + | 0.951057i | −0.0140173 | + | 0.0431408i | ||||
\(487\) | −22.6525 | + | 16.4580i | −1.02648 | + | 0.745783i | −0.967601 | − | 0.252482i | \(-0.918753\pi\) |
−0.0588802 | + | 0.998265i | \(0.518753\pi\) | |||||||
\(488\) | 6.47214 | + | 4.70228i | 0.292980 | + | 0.212862i | ||||
\(489\) | 1.23607 | + | 3.80423i | 0.0558969 | + | 0.172033i | ||||
\(490\) | −3.70820 | − | 11.4127i | −0.167520 | − | 0.515572i | ||||
\(491\) | 9.70820 | + | 7.05342i | 0.438125 | + | 0.318317i | 0.784890 | − | 0.619636i | \(-0.212720\pi\) |
−0.346764 | + | 0.937952i | \(0.612720\pi\) | |||||||
\(492\) | 1.61803 | − | 1.17557i | 0.0729466 | − | 0.0529988i | ||||
\(493\) | −6.18034 | + | 19.0211i | −0.278349 | + | 0.856669i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −8.00000 | −0.359211 | ||||||||
\(497\) | 1.23607 | − | 3.80423i | 0.0554452 | − | 0.170643i | ||||
\(498\) | −3.23607 | + | 2.35114i | −0.145012 | + | 0.105357i | ||||
\(499\) | 16.1803 | + | 11.7557i | 0.724331 | + | 0.526258i | 0.887765 | − | 0.460297i | \(-0.152257\pi\) |
−0.163434 | + | 0.986554i | \(0.552257\pi\) | |||||||
\(500\) | −7.41641 | − | 22.8254i | −0.331672 | − | 1.02078i | ||||
\(501\) | 3.70820 | + | 11.4127i | 0.165670 | + | 0.509881i | ||||
\(502\) | −6.47214 | − | 4.70228i | −0.288866 | − | 0.209873i | ||||
\(503\) | 3.23607 | − | 2.35114i | 0.144289 | − | 0.104832i | −0.513299 | − | 0.858210i | \(-0.671577\pi\) |
0.657588 | + | 0.753378i | \(0.271577\pi\) | |||||||
\(504\) | −0.618034 | + | 1.90211i | −0.0275294 | + | 0.0847268i | ||||
\(505\) | 8.00000 | 0.355995 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 3.00000 | 0.133235 | ||||||||
\(508\) | 6.79837 | − | 20.9232i | 0.301629 | − | 0.928319i | ||||
\(509\) | 16.1803 | − | 11.7557i | 0.717181 | − | 0.521062i | −0.168301 | − | 0.985736i | \(-0.553828\pi\) |
0.885482 | + | 0.464673i | \(0.153828\pi\) | |||||||
\(510\) | −6.47214 | − | 4.70228i | −0.286591 | − | 0.208221i | ||||
\(511\) | 3.70820 | + | 11.4127i | 0.164041 | + | 0.504867i | ||||
\(512\) | −0.309017 | − | 0.951057i | −0.0136568 | − | 0.0420312i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 14.5623 | − | 10.5801i | 0.642316 | − | 0.466670i | ||||
\(515\) | −4.94427 | + | 15.2169i | −0.217871 | + | 0.670537i | ||||
\(516\) | −4.00000 | −0.176090 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 4.00000 | 0.175750 | ||||||||
\(519\) | 1.85410 | − | 5.70634i | 0.0813860 | − | 0.250480i | ||||
\(520\) | 12.9443 | − | 9.40456i | 0.567644 | − | 0.412417i | ||||
\(521\) | 14.5623 | + | 10.5801i | 0.637986 | + | 0.463524i | 0.859158 | − | 0.511711i | \(-0.170988\pi\) |
−0.221172 | + | 0.975235i | \(0.570988\pi\) | |||||||
\(522\) | 3.09017 | + | 9.51057i | 0.135253 | + | 0.416266i | ||||
\(523\) | −13.5967 | − | 41.8465i | −0.594544 | − | 1.82982i | −0.556982 | − | 0.830525i | \(-0.688041\pi\) |
−0.0375627 | − | 0.999294i | \(-0.511959\pi\) | |||||||
\(524\) | 9.70820 | + | 7.05342i | 0.424105 | + | 0.308130i | ||||
\(525\) | −17.7984 | + | 12.9313i | −0.776785 | + | 0.564367i | ||||
\(526\) | −4.94427 | + | 15.2169i | −0.215580 | + | 0.663489i | ||||
\(527\) | −16.0000 | −0.696971 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 13.0000 | 0.565217 | ||||||||
\(530\) | 4.94427 | − | 15.2169i | 0.214765 | − | 0.660980i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 2.47214 | + | 7.60845i | 0.107080 | + | 0.329559i | ||||
\(534\) | −3.09017 | − | 9.51057i | −0.133725 | − | 0.411562i | ||||
\(535\) | 38.8328 | + | 28.2137i | 1.67889 | + | 1.21978i | ||||
\(536\) | −9.70820 | + | 7.05342i | −0.419331 | + | 0.304661i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 20.0000 | 0.862261 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −4.00000 | −0.172133 | ||||||||
\(541\) | −3.70820 | + | 11.4127i | −0.159428 | + | 0.490669i | −0.998583 | − | 0.0532238i | \(-0.983050\pi\) |
0.839154 | + | 0.543893i | \(0.183050\pi\) | |||||||
\(542\) | −17.7984 | + | 12.9313i | −0.764506 | + | 0.555446i | ||||
\(543\) | −1.61803 | − | 1.17557i | −0.0694365 | − | 0.0504486i | ||||
\(544\) | −0.618034 | − | 1.90211i | −0.0264980 | − | 0.0815524i | ||||
\(545\) | 24.7214 | + | 76.0845i | 1.05895 | + | 3.25910i | ||||
\(546\) | −6.47214 | − | 4.70228i | −0.276982 | − | 0.201239i | ||||
\(547\) | −25.8885 | + | 18.8091i | −1.10691 | + | 0.804220i | −0.982175 | − | 0.187969i | \(-0.939809\pi\) |
−0.124739 | + | 0.992190i | \(0.539809\pi\) | |||||||
\(548\) | −0.618034 | + | 1.90211i | −0.0264011 | + | 0.0812542i | ||||
\(549\) | 8.00000 | 0.341432 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 1.85410 | − | 5.70634i | 0.0789158 | − | 0.242878i | ||||
\(553\) | 16.1803 | − | 11.7557i | 0.688058 | − | 0.499903i | ||||
\(554\) | −6.47214 | − | 4.70228i | −0.274975 | − | 0.199781i | ||||
\(555\) | 2.47214 | + | 7.60845i | 0.104936 | + | 0.322961i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 30.7426 | + | 22.3358i | 1.30261 | + | 0.946400i | 0.999978 | − | 0.00670815i | \(-0.00213529\pi\) |
0.302630 | + | 0.953108i | \(0.402135\pi\) | |||||||
\(558\) | −6.47214 | + | 4.70228i | −0.273987 | + | 0.199063i | ||||
\(559\) | 4.94427 | − | 15.2169i | 0.209120 | − | 0.643606i | ||||
\(560\) | −8.00000 | −0.338062 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 22.0000 | 0.928014 | ||||||||
\(563\) | 11.1246 | − | 34.2380i | 0.468846 | − | 1.44296i | −0.385233 | − | 0.922819i | \(-0.625879\pi\) |
0.854080 | − | 0.520142i | \(-0.174121\pi\) | |||||||
\(564\) | 1.61803 | − | 1.17557i | 0.0681315 | − | 0.0495004i | ||||
\(565\) | −19.4164 | − | 14.1068i | −0.816854 | − | 0.593479i | ||||
\(566\) | 1.23607 | + | 3.80423i | 0.0519558 | + | 0.159904i | ||||
\(567\) | 0.618034 | + | 1.90211i | 0.0259550 | + | 0.0798812i | ||||
\(568\) | 1.61803 | + | 1.17557i | 0.0678912 | + | 0.0493258i | ||||
\(569\) | −8.09017 | + | 5.87785i | −0.339158 | + | 0.246412i | −0.744306 | − | 0.667838i | \(-0.767220\pi\) |
0.405149 | + | 0.914251i | \(0.367220\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −32.0000 | −1.33916 | −0.669579 | − | 0.742741i | \(-0.733526\pi\) | ||||
−0.669579 | + | 0.742741i | \(0.733526\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 22.0000 | 0.919063 | ||||||||
\(574\) | 1.23607 | − | 3.80423i | 0.0515925 | − | 0.158785i | ||||
\(575\) | 53.3951 | − | 38.7938i | 2.22673 | − | 1.61781i | ||||
\(576\) | −0.809017 | − | 0.587785i | −0.0337090 | − | 0.0244911i | ||||
\(577\) | −0.618034 | − | 1.90211i | −0.0257291 | − | 0.0791860i | 0.937367 | − | 0.348342i | \(-0.113255\pi\) |
−0.963097 | + | 0.269156i | \(0.913255\pi\) | |||||||
\(578\) | 4.01722 | + | 12.3637i | 0.167094 | + | 0.514264i | ||||
\(579\) | 11.3262 | + | 8.22899i | 0.470702 | + | 0.341985i | ||||
\(580\) | −32.3607 | + | 23.5114i | −1.34370 | + | 0.976258i | ||||
\(581\) | −2.47214 | + | 7.60845i | −0.102561 | + | 0.315652i | ||||
\(582\) | 2.00000 | 0.0829027 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −6.00000 | −0.248282 | ||||||||
\(585\) | 4.94427 | − | 15.2169i | 0.204420 | − | 0.629142i | ||||
\(586\) | −11.3262 | + | 8.22899i | −0.467883 | + | 0.339937i | ||||
\(587\) | −6.47214 | − | 4.70228i | −0.267134 | − | 0.194084i | 0.446152 | − | 0.894957i | \(-0.352794\pi\) |
−0.713286 | + | 0.700873i | \(0.752794\pi\) | |||||||
\(588\) | −0.927051 | − | 2.85317i | −0.0382309 | − | 0.117663i | ||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 14.5623 | − | 10.5801i | 0.599013 | − | 0.435209i | ||||
\(592\) | −0.618034 | + | 1.90211i | −0.0254010 | + | 0.0781764i | ||||
\(593\) | −14.0000 | −0.574911 | −0.287456 | − | 0.957794i | \(-0.592809\pi\) | ||||
−0.287456 | + | 0.957794i | \(0.592809\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −16.0000 | −0.655936 | ||||||||
\(596\) | 3.09017 | − | 9.51057i | 0.126578 | − | 0.389568i | ||||
\(597\) | −16.1803 | + | 11.7557i | −0.662217 | + | 0.481129i | ||||
\(598\) | 19.4164 | + | 14.1068i | 0.793996 | + | 0.576872i | ||||
\(599\) | −9.27051 | − | 28.5317i | −0.378783 | − | 1.16577i | −0.940891 | − | 0.338710i | \(-0.890010\pi\) |
0.562108 | − | 0.827064i | \(-0.309990\pi\) | |||||||
\(600\) | −3.39919 | − | 10.4616i | −0.138771 | − | 0.427094i | ||||
\(601\) | 33.9787 | + | 24.6870i | 1.38602 | + | 1.00700i | 0.996289 | + | 0.0860746i | \(0.0274323\pi\) |
0.389732 | + | 0.920928i | \(0.372568\pi\) | |||||||
\(602\) | −6.47214 | + | 4.70228i | −0.263785 | + | 0.191651i | ||||
\(603\) | −3.70820 | + | 11.4127i | −0.151010 | + | 0.464760i | ||||
\(604\) | −2.00000 | −0.0813788 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 2.00000 | 0.0812444 | ||||||||
\(607\) | 6.79837 | − | 20.9232i | 0.275937 | − | 0.849248i | −0.713032 | − | 0.701131i | \(-0.752679\pi\) |
0.988970 | − | 0.148117i | \(-0.0473213\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 16.1803 | + | 11.7557i | 0.655660 | + | 0.476365i | ||||
\(610\) | 9.88854 | + | 30.4338i | 0.400375 | + | 1.23223i | ||||
\(611\) | 2.47214 | + | 7.60845i | 0.100012 | + | 0.307805i | ||||
\(612\) | −1.61803 | − | 1.17557i | −0.0654051 | − | 0.0475196i | ||||
\(613\) | −12.9443 | + | 9.40456i | −0.522814 | + | 0.379847i | −0.817663 | − | 0.575697i | \(-0.804731\pi\) |
0.294849 | + | 0.955544i | \(0.404731\pi\) | |||||||
\(614\) | 2.47214 | − | 7.60845i | 0.0997673 | − | 0.307052i | ||||
\(615\) | 8.00000 | 0.322591 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −22.0000 | −0.885687 | −0.442843 | − | 0.896599i | \(-0.646030\pi\) | ||||
−0.442843 | + | 0.896599i | \(0.646030\pi\) | |||||||
\(618\) | −1.23607 | + | 3.80423i | −0.0497219 | + | 0.153028i | ||||
\(619\) | 16.1803 | − | 11.7557i | 0.650343 | − | 0.472502i | −0.213045 | − | 0.977042i | \(-0.568338\pi\) |
0.863388 | + | 0.504541i | \(0.168338\pi\) | |||||||
\(620\) | −25.8885 | − | 18.8091i | −1.03971 | − | 0.755393i | ||||
\(621\) | −1.85410 | − | 5.70634i | −0.0744025 | − | 0.228988i | ||||
\(622\) | −0.618034 | − | 1.90211i | −0.0247809 | − | 0.0762678i | ||||
\(623\) | −16.1803 | − | 11.7557i | −0.648252 | − | 0.470982i | ||||
\(624\) | 3.23607 | − | 2.35114i | 0.129546 | − | 0.0941210i | ||||
\(625\) | 12.6697 | − | 38.9933i | 0.506788 | − | 1.55973i | ||||
\(626\) | 6.00000 | 0.239808 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 18.0000 | 0.718278 | ||||||||
\(629\) | −1.23607 | + | 3.80423i | −0.0492853 | + | 0.151684i | ||||
\(630\) | −6.47214 | + | 4.70228i | −0.257856 | + | 0.187343i | ||||
\(631\) | 38.8328 | + | 28.2137i | 1.54591 | + | 1.12317i | 0.946489 | + | 0.322735i | \(0.104602\pi\) |
0.599421 | + | 0.800434i | \(0.295398\pi\) | |||||||
\(632\) | 3.09017 | + | 9.51057i | 0.122920 | + | 0.378310i | ||||
\(633\) | −3.70820 | − | 11.4127i | −0.147388 | − | 0.453613i | ||||
\(634\) | −25.8885 | − | 18.8091i | −1.02817 | − | 0.747006i | ||||
\(635\) | 71.1935 | − | 51.7251i | 2.82523 | − | 2.05265i | ||||
\(636\) | 1.23607 | − | 3.80423i | 0.0490133 | − | 0.150847i | ||||
\(637\) | 12.0000 | 0.475457 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 2.00000 | 0.0791188 | ||||||||
\(640\) | 1.23607 | − | 3.80423i | 0.0488599 | − | 0.150375i | ||||
\(641\) | 14.5623 | − | 10.5801i | 0.575177 | − | 0.417890i | −0.261805 | − | 0.965121i | \(-0.584318\pi\) |
0.836982 | + | 0.547230i | \(0.184318\pi\) | |||||||
\(642\) | 9.70820 | + | 7.05342i | 0.383152 | + | 0.278376i | ||||
\(643\) | 13.5967 | + | 41.8465i | 0.536203 | + | 1.65026i | 0.741034 | + | 0.671467i | \(0.234335\pi\) |
−0.204831 | + | 0.978797i | \(0.565665\pi\) | |||||||
\(644\) | −3.70820 | − | 11.4127i | −0.146124 | − | 0.449723i | ||||
\(645\) | −12.9443 | − | 9.40456i | −0.509680 | − | 0.370304i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −6.79837 | + | 20.9232i | −0.267272 | + | 0.822578i | 0.723890 | + | 0.689916i | \(0.242352\pi\) |
−0.991161 | + | 0.132662i | \(0.957648\pi\) | |||||||
\(648\) | −1.00000 | −0.0392837 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 44.0000 | 1.72582 | ||||||||
\(651\) | −4.94427 | + | 15.2169i | −0.193781 | + | 0.596397i | ||||
\(652\) | −3.23607 | + | 2.35114i | −0.126734 | + | 0.0920778i | ||||
\(653\) | −19.4164 | − | 14.1068i | −0.759823 | − | 0.552044i | 0.139033 | − | 0.990288i | \(-0.455601\pi\) |
−0.898856 | + | 0.438244i | \(0.855601\pi\) | |||||||
\(654\) | 6.18034 | + | 19.0211i | 0.241670 | + | 0.743785i | ||||
\(655\) | 14.8328 | + | 45.6507i | 0.579566 | + | 1.78372i | ||||
\(656\) | 1.61803 | + | 1.17557i | 0.0631736 | + | 0.0458983i | ||||
\(657\) | −4.85410 | + | 3.52671i | −0.189377 | + | 0.137590i | ||||
\(658\) | 1.23607 | − | 3.80423i | 0.0481869 | − | 0.148304i | ||||
\(659\) | 20.0000 | 0.779089 | 0.389545 | − | 0.921008i | \(-0.372632\pi\) | ||||
0.389545 | + | 0.921008i | \(0.372632\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 42.0000 | 1.63361 | 0.816805 | − | 0.576913i | \(-0.195743\pi\) | ||||
0.816805 | + | 0.576913i | \(0.195743\pi\) | |||||||
\(662\) | 8.65248 | − | 26.6296i | 0.336288 | − | 1.03499i | ||||
\(663\) | 6.47214 | − | 4.70228i | 0.251357 | − | 0.182622i | ||||
\(664\) | −3.23607 | − | 2.35114i | −0.125584 | − | 0.0912420i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0.618034 | + | 1.90211i | 0.0239483 | + | 0.0737054i | ||||
\(667\) | −48.5410 | − | 35.2671i | −1.87952 | − | 1.36555i | ||||
\(668\) | −9.70820 | + | 7.05342i | −0.375622 | + | 0.272905i | ||||
\(669\) | −4.94427 | + | 15.2169i | −0.191157 | + | 0.588320i | ||||
\(670\) | −48.0000 | −1.85440 | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −2.00000 | −0.0771517 | ||||||||
\(673\) | −4.32624 | + | 13.3148i | −0.166764 | + | 0.513247i | −0.999162 | − | 0.0409312i | \(-0.986968\pi\) |
0.832398 | + | 0.554179i | \(0.186968\pi\) | |||||||
\(674\) | 17.7984 | − | 12.9313i | 0.685568 | − | 0.498094i | ||||
\(675\) | −8.89919 | − | 6.46564i | −0.342530 | − | 0.248863i | ||||
\(676\) | 0.927051 | + | 2.85317i | 0.0356558 | + | 0.109737i | ||||
\(677\) | 6.79837 | + | 20.9232i | 0.261283 | + | 0.804146i | 0.992526 | + | 0.122029i | \(0.0389402\pi\) |
−0.731244 | + | 0.682116i | \(0.761060\pi\) | |||||||
\(678\) | −4.85410 | − | 3.52671i | −0.186421 | − | 0.135443i | ||||
\(679\) | 3.23607 | − | 2.35114i | 0.124189 | − | 0.0902285i | ||||
\(680\) | 2.47214 | − | 7.60845i | 0.0948021 | − | 0.291771i | ||||
\(681\) | 12.0000 | 0.459841 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −16.0000 | −0.612223 | −0.306111 | − | 0.951996i | \(-0.599028\pi\) | ||||
−0.306111 | + | 0.951996i | \(0.599028\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −6.47214 | + | 4.70228i | −0.247288 | + | 0.179665i | ||||
\(686\) | −16.1803 | − | 11.7557i | −0.617768 | − | 0.448835i | ||||
\(687\) | 3.09017 | + | 9.51057i | 0.117897 | + | 0.362851i | ||||
\(688\) | −1.23607 | − | 3.80423i | −0.0471246 | − | 0.145035i | ||||
\(689\) | 12.9443 | + | 9.40456i | 0.493137 | + | 0.358285i | ||||
\(690\) | 19.4164 | − | 14.1068i | 0.739170 | − | 0.537038i | ||||
\(691\) | 16.0689 | − | 49.4549i | 0.611289 | − | 1.88135i | 0.165520 | − | 0.986206i | \(-0.447070\pi\) |
0.445769 | − | 0.895148i | \(-0.352930\pi\) | |||||||
\(692\) | 6.00000 | 0.228086 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −12.0000 | −0.455514 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −8.09017 | + | 5.87785i | −0.306657 | + | 0.222799i | ||||
\(697\) | 3.23607 | + | 2.35114i | 0.122575 | + | 0.0890558i | ||||
\(698\) | −6.18034 | − | 19.0211i | −0.233929 | − | 0.719960i | ||||
\(699\) | 1.85410 | + | 5.70634i | 0.0701286 | + | 0.215834i | ||||
\(700\) | −17.7984 | − | 12.9313i | −0.672715 | − | 0.488756i | ||||
\(701\) | −14.5623 | + | 10.5801i | −0.550011 | + | 0.399606i | −0.827789 | − | 0.561039i | \(-0.810402\pi\) |
0.277779 | + | 0.960645i | \(0.410402\pi\) | |||||||
\(702\) | 1.23607 | − | 3.80423i | 0.0466524 | − | 0.143581i | ||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 8.00000 | 0.301297 | ||||||||
\(706\) | 1.85410 | − | 5.70634i | 0.0697800 | − | 0.214761i | ||||
\(707\) | 3.23607 | − | 2.35114i | 0.121705 | − | 0.0884238i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 3.09017 | + | 9.51057i | 0.116054 | + | 0.357177i | 0.992165 | − | 0.124932i | \(-0.0398711\pi\) |
−0.876112 | + | 0.482108i | \(0.839871\pi\) | |||||||
\(710\) | 2.47214 | + | 7.60845i | 0.0927776 | + | 0.285540i | ||||
\(711\) | 8.09017 | + | 5.87785i | 0.303405 | + | 0.220437i | ||||
\(712\) | 8.09017 | − | 5.87785i | 0.303192 | − | 0.220282i | ||||
\(713\) | 14.8328 | − | 45.6507i | 0.555493 | − | 1.70963i | ||||
\(714\) | −4.00000 | −0.149696 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 6.18034 | − | 19.0211i | 0.230809 | − | 0.710357i | ||||
\(718\) | 16.1803 | − | 11.7557i | 0.603845 | − | 0.438719i | ||||
\(719\) | −8.09017 | − | 5.87785i | −0.301712 | − | 0.219207i | 0.426620 | − | 0.904431i | \(-0.359704\pi\) |
−0.728332 | + | 0.685224i | \(0.759704\pi\) | |||||||
\(720\) | −1.23607 | − | 3.80423i | −0.0460655 | − | 0.141775i | ||||
\(721\) | 2.47214 | + | 7.60845i | 0.0920672 | + | 0.283354i | ||||
\(722\) | −15.3713 | − | 11.1679i | −0.572061 | − | 0.415627i | ||||
\(723\) | −14.5623 | + | 10.5801i | −0.541578 | + | 0.393479i | ||||
\(724\) | 0.618034 | − | 1.90211i | 0.0229691 | − | 0.0706915i | ||||
\(725\) | −110.000 | −4.08530 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 28.0000 | 1.03846 | 0.519231 | − | 0.854634i | \(-0.326218\pi\) | ||||
0.519231 | + | 0.854634i | \(0.326218\pi\) | |||||||
\(728\) | 2.47214 | − | 7.60845i | 0.0916235 | − | 0.281988i | ||||
\(729\) | −0.809017 | + | 0.587785i | −0.0299636 | + | 0.0217698i | ||||
\(730\) | −19.4164 | − | 14.1068i | −0.718633 | − | 0.522118i | ||||
\(731\) | −2.47214 | − | 7.60845i | −0.0914353 | − | 0.281409i | ||||
\(732\) | 2.47214 | + | 7.60845i | 0.0913728 | + | 0.281216i | ||||
\(733\) | 3.23607 | + | 2.35114i | 0.119527 | + | 0.0868414i | 0.645943 | − | 0.763386i | \(-0.276464\pi\) |
−0.526416 | + | 0.850227i | \(0.676464\pi\) | |||||||
\(734\) | 6.47214 | − | 4.70228i | 0.238891 | − | 0.173564i | ||||
\(735\) | 3.70820 | − | 11.4127i | 0.136779 | − | 0.420963i | ||||
\(736\) | 6.00000 | 0.221163 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 2.00000 | 0.0736210 | ||||||||
\(739\) | −6.18034 | + | 19.0211i | −0.227347 | + | 0.699704i | 0.770697 | + | 0.637201i | \(0.219908\pi\) |
−0.998045 | + | 0.0625022i | \(0.980092\pi\) | |||||||
\(740\) | −6.47214 | + | 4.70228i | −0.237920 | + | 0.172859i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −2.47214 | − | 7.60845i | −0.0907550 | − | 0.279315i | ||||
\(743\) | −13.5967 | − | 41.8465i | −0.498816 | − | 1.53520i | −0.810924 | − | 0.585152i | \(-0.801035\pi\) |
0.312107 | − | 0.950047i | \(-0.398965\pi\) | |||||||
\(744\) | −6.47214 | − | 4.70228i | −0.237280 | − | 0.172394i | ||||
\(745\) | 32.3607 | − | 23.5114i | 1.18560 | − | 0.861391i | ||||
\(746\) | 1.23607 | − | 3.80423i | 0.0452557 | − | 0.139283i | ||||
\(747\) | −4.00000 | −0.146352 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 24.0000 | 0.876941 | ||||||||
\(750\) | 7.41641 | − | 22.8254i | 0.270809 | − | 0.833464i | ||||
\(751\) | 6.47214 | − | 4.70228i | 0.236172 | − | 0.171589i | −0.463404 | − | 0.886147i | \(-0.653372\pi\) |
0.699576 | + | 0.714558i | \(0.253372\pi\) | |||||||
\(752\) | 1.61803 | + | 1.17557i | 0.0590036 | + | 0.0428686i | ||||
\(753\) | −2.47214 | − | 7.60845i | −0.0900896 | − | 0.277267i | ||||
\(754\) | −12.3607 | − | 38.0423i | −0.450149 | − | 1.38542i | ||||
\(755\) | −6.47214 | − | 4.70228i | −0.235545 | − | 0.171134i | ||||
\(756\) | −1.61803 | + | 1.17557i | −0.0588473 | + | 0.0427551i | ||||
\(757\) | −12.9787 | + | 39.9444i | −0.471719 | + | 1.45180i | 0.378612 | + | 0.925555i | \(0.376401\pi\) |
−0.850331 | + | 0.526248i | \(0.823599\pi\) | |||||||
\(758\) | 20.0000 | 0.726433 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −6.79837 | + | 20.9232i | −0.246441 | + | 0.758467i | 0.748955 | + | 0.662621i | \(0.230556\pi\) |
−0.995396 | + | 0.0958464i | \(0.969444\pi\) | |||||||
\(762\) | 17.7984 | − | 12.9313i | 0.644767 | − | 0.468451i | ||||
\(763\) | 32.3607 | + | 23.5114i | 1.17154 | + | 0.851170i | ||||
\(764\) | 6.79837 | + | 20.9232i | 0.245957 | + | 0.756976i | ||||
\(765\) | −2.47214 | − | 7.60845i | −0.0893803 | − | 0.275084i | ||||
\(766\) | −4.85410 | − | 3.52671i | −0.175386 | − | 0.127425i | ||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 0.309017 | − | 0.951057i | 0.0111507 | − | 0.0343183i | ||||
\(769\) | 50.0000 | 1.80305 | 0.901523 | − | 0.432731i | \(-0.142450\pi\) | ||||
0.901523 | + | 0.432731i | \(0.142450\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 18.0000 | 0.648254 | ||||||||
\(772\) | −4.32624 | + | 13.3148i | −0.155705 | + | 0.479210i | ||||
\(773\) | −3.23607 | + | 2.35114i | −0.116393 | + | 0.0845647i | −0.644459 | − | 0.764639i | \(-0.722917\pi\) |
0.528066 | + | 0.849203i | \(0.322917\pi\) | |||||||
\(774\) | −3.23607 | − | 2.35114i | −0.116318 | − | 0.0845100i | ||||
\(775\) | −27.1935 | − | 83.6930i | −0.976819 | − | 3.00634i | ||||
\(776\) | 0.618034 | + | 1.90211i | 0.0221861 | + | 0.0682819i | ||||
\(777\) | 3.23607 | + | 2.35114i | 0.116093 | + | 0.0843467i | ||||
\(778\) | −16.1803 | + | 11.7557i | −0.580093 | + | 0.421462i | ||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 16.0000 | 0.572892 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 12.0000 | 0.429119 | ||||||||
\(783\) | −3.09017 | + | 9.51057i | −0.110434 | + | 0.339880i | ||||
\(784\) | 2.42705 | − | 1.76336i | 0.0866804 | − | 0.0629770i | ||||
\(785\) | 58.2492 | + | 42.3205i | 2.07900 | + | 1.51048i | ||||
\(786\) | 3.70820 | + | 11.4127i | 0.132267 | + | 0.407077i | ||||
\(787\) | 16.0689 | + | 49.4549i | 0.572794 | + | 1.76288i | 0.643571 | + | 0.765386i | \(0.277452\pi\) |
−0.0707776 | + | 0.997492i | \(0.522548\pi\) | |||||||
\(788\) | 14.5623 | + | 10.5801i | 0.518761 | + | 0.376902i | ||||
\(789\) | −12.9443 | + | 9.40456i | −0.460828 | + | 0.334811i | ||||
\(790\) | −12.3607 | + | 38.0423i | −0.439773 | + | 1.35348i | ||||
\(791\) | −12.0000 | −0.426671 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −32.0000 | −1.13635 | ||||||||
\(794\) | −5.56231 | + | 17.1190i | −0.197399 | + | 0.607531i | ||||
\(795\) | 12.9443 | − | 9.40456i | 0.459086 | − | 0.333546i | ||||
\(796\) | −16.1803 | − | 11.7557i | −0.573497 | − | 0.416670i | ||||
\(797\) | 8.65248 | + | 26.6296i | 0.306486 | + | 0.943268i | 0.979118 | + | 0.203291i | \(0.0651637\pi\) |
−0.672632 | + | 0.739977i | \(0.734836\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 3.23607 | + | 2.35114i | 0.114484 | + | 0.0831774i | ||||
\(800\) | 8.89919 | − | 6.46564i | 0.314634 | − | 0.228595i | ||||
\(801\) | 3.09017 | − | 9.51057i | 0.109186 | − | 0.336039i | ||||
\(802\) | 18.0000 | 0.635602 | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | −12.0000 | −0.423207 | ||||||||
\(805\) | 14.8328 | − | 45.6507i | 0.522788 | − | 1.60898i | ||||
\(806\) | 25.8885 | − | 18.8091i | 0.911885 | − | 0.662523i | ||||
\(807\) | 16.1803 | + | 11.7557i | 0.569575 | + | 0.413820i | ||||
\(808\) | 0.618034 | + | 1.90211i | 0.0217424 | + | 0.0669161i | ||||
\(809\) | −3.09017 | − | 9.51057i | −0.108645 | − | 0.334374i | 0.881924 | − | 0.471392i | \(-0.156248\pi\) |
−0.990569 | + | 0.137018i | \(0.956248\pi\) | |||||||
\(810\) | −3.23607 | − | 2.35114i | −0.113704 | − | 0.0826107i | ||||
\(811\) | 9.70820 | − | 7.05342i | 0.340901 | − | 0.247679i | −0.404141 | − | 0.914697i | \(-0.632429\pi\) |
0.745042 | + | 0.667018i | \(0.232429\pi\) | |||||||
\(812\) | −6.18034 | + | 19.0211i | −0.216887 | + | 0.667511i | ||||
\(813\) | −22.0000 | −0.771574 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −16.0000 | −0.560456 | ||||||||
\(816\) | 0.618034 | − | 1.90211i | 0.0216355 | − | 0.0665873i | ||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 8.09017 | + | 5.87785i | 0.282866 | + | 0.205514i | ||||
\(819\) | −2.47214 | − | 7.60845i | −0.0863834 | − | 0.265861i | ||||
\(820\) | 2.47214 | + | 7.60845i | 0.0863307 | + | 0.265699i | ||||
\(821\) | −30.7426 | − | 22.3358i | −1.07293 | − | 0.779526i | −0.0964899 | − | 0.995334i | \(-0.530762\pi\) |
−0.976436 | + | 0.215808i | \(0.930762\pi\) | |||||||
\(822\) | −1.61803 | + | 1.17557i | −0.0564354 | + | 0.0410027i | ||||
\(823\) | 7.41641 | − | 22.8254i | 0.258520 | − | 0.795642i | −0.734596 | − | 0.678505i | \(-0.762628\pi\) |
0.993116 | − | 0.117137i | \(-0.0373717\pi\) | |||||||
\(824\) | −4.00000 | −0.139347 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 3.70820 | − | 11.4127i | 0.128947 | − | 0.396858i | −0.865653 | − | 0.500645i | \(-0.833096\pi\) |
0.994600 | + | 0.103787i | \(0.0330962\pi\) | |||||||
\(828\) | 4.85410 | − | 3.52671i | 0.168692 | − | 0.122562i | ||||
\(829\) | −24.2705 | − | 17.6336i | −0.842950 | − | 0.612439i | 0.0802434 | − | 0.996775i | \(-0.474430\pi\) |
−0.923193 | + | 0.384337i | \(0.874430\pi\) | |||||||
\(830\) | −4.94427 | − | 15.2169i | −0.171618 | − | 0.528186i | ||||
\(831\) | −2.47214 | − | 7.60845i | −0.0857574 | − | 0.263934i | ||||
\(832\) | 3.23607 | + | 2.35114i | 0.112190 | + | 0.0815111i | ||||
\(833\) | 4.85410 | − | 3.52671i | 0.168185 | − | 0.122193i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −48.0000 | −1.66111 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −8.00000 | −0.276520 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −24.2705 | + | 17.6336i | −0.837911 | + | 0.608778i | −0.921786 | − | 0.387698i | \(-0.873270\pi\) |
0.0838753 | + | 0.996476i | \(0.473270\pi\) | |||||||
\(840\) | −6.47214 | − | 4.70228i | −0.223310 | − | 0.162244i | ||||
\(841\) | 21.9402 | + | 67.5250i | 0.756559 | + | 2.32845i | ||||
\(842\) | 5.56231 | + | 17.1190i | 0.191690 | + | 0.589960i | ||||
\(843\) | 17.7984 | + | 12.9313i | 0.613009 | + | 0.445377i | ||||
\(844\) | 9.70820 | − | 7.05342i | 0.334170 | − | 0.242789i | ||||
\(845\) | −3.70820 | + | 11.4127i | −0.127566 | + | 0.392608i | ||||
\(846\) | 2.00000 | 0.0687614 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 4.00000 | 0.137361 | ||||||||
\(849\) | −1.23607 | + | 3.80423i | −0.0424217 | + | 0.130561i | ||||
\(850\) | 17.7984 | − | 12.9313i | 0.610479 | − | 0.443539i | ||||
\(851\) | −9.70820 | − | 7.05342i | −0.332793 | − | 0.241788i | ||||
\(852\) | 0.618034 | + | 1.90211i | 0.0211735 | + | 0.0651653i | ||||
\(853\) | −7.41641 | − | 22.8254i | −0.253933 | − | 0.781525i | −0.994038 | − | 0.109034i | \(-0.965224\pi\) |
0.740105 | − | 0.672491i | \(-0.234776\pi\) | |||||||
\(854\) | 12.9443 | + | 9.40456i | 0.442944 | + | 0.321818i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −3.70820 | + | 11.4127i | −0.126744 | + | 0.390077i | ||||
\(857\) | 22.0000 | 0.751506 | 0.375753 | − | 0.926720i | \(-0.377384\pi\) | ||||
0.375753 | + | 0.926720i | \(0.377384\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −20.0000 | −0.682391 | −0.341196 | − | 0.939992i | \(-0.610832\pi\) | ||||
−0.341196 | + | 0.939992i | \(0.610832\pi\) | |||||||
\(860\) | 4.94427 | − | 15.2169i | 0.168598 | − | 0.518892i | ||||
\(861\) | 3.23607 | − | 2.35114i | 0.110285 | − | 0.0801267i | ||||
\(862\) | −25.8885 | − | 18.8091i | −0.881767 | − | 0.640641i | ||||
\(863\) | 16.6869 | + | 51.3571i | 0.568029 | + | 1.74821i | 0.658775 | + | 0.752340i | \(0.271075\pi\) |
−0.0907454 | + | 0.995874i | \(0.528925\pi\) | |||||||
\(864\) | −0.309017 | − | 0.951057i | −0.0105130 | − | 0.0323556i | ||||
\(865\) | 19.4164 | + | 14.1068i | 0.660178 | + | 0.479647i | ||||
\(866\) | −4.85410 | + | 3.52671i | −0.164949 | + | 0.119843i | ||||
\(867\) | −4.01722 | + | 12.3637i | −0.136432 | + | 0.419894i | ||||
\(868\) | −16.0000 | −0.543075 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | −40.0000 | −1.35613 | ||||||||
\(871\) | 14.8328 | − | 45.6507i | 0.502591 | − | 1.54682i | ||||
\(872\) | −16.1803 | + | 11.7557i | −0.547935 | + | 0.398098i | ||||
\(873\) | 1.61803 | + | 1.17557i | 0.0547622 | + | 0.0397870i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −14.8328 | − | 45.6507i | −0.501441 | − | 1.54328i | ||||
\(876\) | −4.85410 | − | 3.52671i | −0.164005 | − | 0.119157i | ||||
\(877\) | 22.6525 | − | 16.4580i | 0.764920 | − | 0.555747i | −0.135496 | − | 0.990778i | \(-0.543263\pi\) |
0.900415 | + | 0.435031i | \(0.143263\pi\) | |||||||
\(878\) | 3.09017 | − | 9.51057i | 0.104288 | − | 0.320966i | ||||
\(879\) | −14.0000 | −0.472208 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −38.0000 | −1.28025 | −0.640126 | − | 0.768270i | \(-0.721118\pi\) | ||||
−0.640126 | + | 0.768270i | \(0.721118\pi\) | |||||||
\(882\) | 0.927051 | − | 2.85317i | 0.0312154 | − | 0.0960712i | ||||
\(883\) | −35.5967 | + | 25.8626i | −1.19793 | + | 0.870344i | −0.994079 | − | 0.108659i | \(-0.965344\pi\) |
−0.203847 | + | 0.979003i | \(0.565344\pi\) | |||||||
\(884\) | 6.47214 | + | 4.70228i | 0.217681 | + | 0.158155i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −7.41641 | − | 22.8254i | −0.249159 | − | 0.766833i | ||||
\(887\) | −9.70820 | − | 7.05342i | −0.325970 | − | 0.236831i | 0.412749 | − | 0.910845i | \(-0.364569\pi\) |
−0.738718 | + | 0.674014i | \(0.764569\pi\) | |||||||
\(888\) | −1.61803 | + | 1.17557i | −0.0542977 | + | 0.0394496i | ||||
\(889\) | 13.5967 | − | 41.8465i | 0.456020 | − | 1.40349i | ||||
\(890\) | 40.0000 | 1.34080 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −16.0000 | −0.535720 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 8.09017 | − | 5.87785i | 0.270576 | − | 0.196585i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −0.618034 | − | 1.90211i | −0.0206471 | − | 0.0635451i | ||||
\(897\) | 7.41641 | + | 22.8254i | 0.247627 | + | 0.762116i | ||||
\(898\) | 24.2705 | + | 17.6336i | 0.809917 | + | 0.588439i | ||||
\(899\) | −64.7214 | + | 47.0228i | −2.15858 | + | 1.56830i | ||||
\(900\) | 3.39919 | − | 10.4616i | 0.113306 | − | 0.348721i | ||||
\(901\) | 8.00000 | 0.266519 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −8.00000 | −0.266223 | ||||||||
\(904\) | 1.85410 | − | 5.70634i | 0.0616665 | − | 0.189790i | ||||
\(905\) | 6.47214 | − | 4.70228i | 0.215141 | − | 0.156309i | ||||
\(906\) | −1.61803 | − | 1.17557i | −0.0537556 | − | 0.0390557i | ||||
\(907\) | −3.70820 | − | 11.4127i | −0.123129 | − | 0.378952i | 0.870427 | − | 0.492298i | \(-0.163843\pi\) |
−0.993556 | + | 0.113346i | \(0.963843\pi\) | |||||||
\(908\) | 3.70820 | + | 11.4127i | 0.123061 | + | 0.378743i | ||||
\(909\) | 1.61803 | + | 1.17557i | 0.0536668 | + | 0.0389912i | ||||
\(910\) | 25.8885 | − | 18.8091i | 0.858197 | − | 0.623517i | ||||
\(911\) | 0.618034 | − | 1.90211i | 0.0204764 | − | 0.0630198i | −0.940296 | − | 0.340357i | \(-0.889452\pi\) |
0.960773 | + | 0.277337i | \(0.0894520\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | −2.00000 | −0.0661541 | ||||||||
\(915\) | −9.88854 | + | 30.4338i | −0.326905 | + | 1.00611i | ||||
\(916\) | −8.09017 | + | 5.87785i | −0.267307 | + | 0.194210i | ||||
\(917\) | 19.4164 | + | 14.1068i | 0.641186 | + | 0.465849i | ||||
\(918\) | −0.618034 | − | 1.90211i | −0.0203982 | − | 0.0627791i | ||||
\(919\) | 3.09017 | + | 9.51057i | 0.101935 | + | 0.313725i | 0.988999 | − | 0.147923i | \(-0.0472586\pi\) |
−0.887064 | + | 0.461647i | \(0.847259\pi\) | |||||||
\(920\) | 19.4164 | + | 14.1068i | 0.640140 | + | 0.465089i | ||||
\(921\) | 6.47214 | − | 4.70228i | 0.213264 | − | 0.154945i | ||||
\(922\) | −5.56231 | + | 17.1190i | −0.183185 | + | 0.563785i | ||||
\(923\) | −8.00000 | −0.263323 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −22.0000 | −0.723356 | ||||||||
\(926\) | −1.23607 | + | 3.80423i | −0.0406197 | + | 0.125015i | ||||
\(927\) | −3.23607 | + | 2.35114i | −0.106286 | + | 0.0772216i | ||||
\(928\) | −8.09017 | − | 5.87785i | −0.265573 | − | 0.192950i | ||||
\(929\) | 9.27051 | + | 28.5317i | 0.304156 | + | 0.936095i | 0.979991 | + | 0.199042i | \(0.0637830\pi\) |
−0.675835 | + | 0.737053i | \(0.736217\pi\) | |||||||
\(930\) | −9.88854 | − | 30.4338i | −0.324258 | − | 0.997964i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −4.85410 | + | 3.52671i | −0.159001 | + | 0.115521i | ||||
\(933\) | 0.618034 | − | 1.90211i | 0.0202335 | − | 0.0622724i | ||||
\(934\) | −28.0000 | −0.916188 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 4.00000 | 0.130744 | ||||||||
\(937\) | −17.9230 | + | 55.1613i | −0.585518 | + | 1.80204i | 0.0116601 | + | 0.999932i | \(0.496288\pi\) |
−0.597178 | + | 0.802108i | \(0.703712\pi\) | |||||||
\(938\) | −19.4164 | + | 14.1068i | −0.633968 | + | 0.460605i | ||||
\(939\) | 4.85410 | + | 3.52671i | 0.158408 | + | 0.115090i | ||||
\(940\) | 2.47214 | + | 7.60845i | 0.0806322 | + | 0.248160i | ||||
\(941\) | −12.9787 | − | 39.9444i | −0.423094 | − | 1.30215i | −0.904808 | − | 0.425821i | \(-0.859985\pi\) |
0.481714 | − | 0.876329i | \(-0.340015\pi\) | |||||||
\(942\) | 14.5623 | + | 10.5801i | 0.474466 | + | 0.344719i | ||||
\(943\) | −9.70820 | + | 7.05342i | −0.316143 | + | 0.229691i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −8.00000 | −0.260240 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 28.0000 | 0.909878 | 0.454939 | − | 0.890523i | \(-0.349661\pi\) | ||||
0.454939 | + | 0.890523i | \(0.349661\pi\) | |||||||
\(948\) | −3.09017 | + | 9.51057i | −0.100364 | + | 0.308889i | ||||
\(949\) | 19.4164 | − | 14.1068i | 0.630283 | − | 0.457928i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −9.88854 | − | 30.4338i | −0.320658 | − | 0.986884i | ||||
\(952\) | −1.23607 | − | 3.80423i | −0.0400612 | − | 0.123296i | ||||
\(953\) | −4.85410 | − | 3.52671i | −0.157240 | − | 0.114241i | 0.506383 | − | 0.862309i | \(-0.330982\pi\) |
−0.663623 | + | 0.748067i | \(0.730982\pi\) | |||||||
\(954\) | 3.23607 | − | 2.35114i | 0.104772 | − | 0.0761210i | ||||
\(955\) | −27.1935 | + | 83.6930i | −0.879961 | + | 2.70824i | ||||
\(956\) | 20.0000 | 0.646846 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 40.0000 | 1.29234 | ||||||||
\(959\) | −1.23607 | + | 3.80423i | −0.0399147 | + | 0.122845i | ||||
\(960\) | 3.23607 | − | 2.35114i | 0.104444 | − | 0.0758827i | ||||
\(961\) | −26.6976 | − | 19.3969i | −0.861212 | − | 0.625707i | ||||
\(962\) | −2.47214 | − | 7.60845i | −0.0797049 | − | 0.245306i | ||||
\(963\) | 3.70820 | + | 11.4127i | 0.119495 | + | 0.367768i | ||||
\(964\) | −14.5623 | − | 10.5801i | −0.469020 | − | 0.340763i | ||||
\(965\) | −45.3050 | + | 32.9160i | −1.45842 | + | 1.05960i | ||||
\(966\) | 3.70820 | − | 11.4127i | 0.119310 | − | 0.367197i | ||||
\(967\) | 22.0000 | 0.707472 | 0.353736 | − | 0.935345i | \(-0.384911\pi\) | ||||
0.353736 | + | 0.935345i | \(0.384911\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −2.47214 | + | 7.60845i | −0.0793755 | + | 0.244293i | ||||
\(971\) | −25.8885 | + | 18.8091i | −0.830803 | + | 0.603614i | −0.919786 | − | 0.392419i | \(-0.871638\pi\) |
0.0889835 | + | 0.996033i | \(0.471638\pi\) | |||||||
\(972\) | −0.809017 | − | 0.587785i | −0.0259492 | − | 0.0188532i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −8.65248 | − | 26.6296i | −0.277243 | − | 0.853267i | ||||
\(975\) | 35.5967 | + | 25.8626i | 1.14001 | + | 0.828265i | ||||
\(976\) | −6.47214 | + | 4.70228i | −0.207168 | + | 0.150516i | ||||
\(977\) | 11.7426 | − | 36.1401i | 0.375681 | − | 1.15623i | −0.567338 | − | 0.823485i | \(-0.692027\pi\) |
0.943018 | − | 0.332741i | \(-0.107973\pi\) | |||||||
\(978\) | −4.00000 | −0.127906 | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 12.0000 | 0.383326 | ||||||||
\(981\) | −6.18034 | + | 19.0211i | −0.197323 | + | 0.607298i | ||||
\(982\) | −9.70820 | + | 7.05342i | −0.309801 | + | 0.225084i | ||||
\(983\) | 37.2148 | + | 27.0381i | 1.18697 | + | 0.862382i | 0.992940 | − | 0.118614i | \(-0.0378451\pi\) |
0.194027 | + | 0.980996i | \(0.437845\pi\) | |||||||
\(984\) | 0.618034 | + | 1.90211i | 0.0197022 | + | 0.0606371i | ||||
\(985\) | 22.2492 | + | 68.4761i | 0.708919 | + | 2.18183i | ||||
\(986\) | −16.1803 | − | 11.7557i | −0.515287 | − | 0.374378i | ||||
\(987\) | 3.23607 | − | 2.35114i | 0.103005 | − | 0.0748376i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 24.0000 | 0.763156 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −8.00000 | −0.254128 | −0.127064 | − | 0.991894i | \(-0.540555\pi\) | ||||
−0.127064 | + | 0.991894i | \(0.540555\pi\) | |||||||
\(992\) | 2.47214 | − | 7.60845i | 0.0784904 | − | 0.241569i | ||||
\(993\) | 22.6525 | − | 16.4580i | 0.718855 | − | 0.522278i | ||||
\(994\) | 3.23607 | + | 2.35114i | 0.102642 | + | 0.0745737i | ||||
\(995\) | −24.7214 | − | 76.0845i | −0.783720 | − | 2.41204i | ||||
\(996\) | −1.23607 | − | 3.80423i | −0.0391663 | − | 0.120542i | ||||
\(997\) | −42.0689 | − | 30.5648i | −1.33233 | − | 0.967998i | −0.999689 | − | 0.0249463i | \(-0.992059\pi\) |
−0.332646 | − | 0.943052i | \(-0.607941\pi\) | |||||||
\(998\) | −16.1803 | + | 11.7557i | −0.512180 | + | 0.372120i | ||||
\(999\) | −0.618034 | + | 1.90211i | −0.0195537 | + | 0.0601802i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))