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 | 511.1 | ||
Root | \(-0.309017 + 0.951057i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 726.511 |
Dual form | 726.2.e.e.493.1 |
$q$-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 \(\left(\mathbb{Z}/726\mathbb{Z}\right)^\times\).
\(n\) | \(485\) | \(607\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
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 | 0.148932 | + | 0.988847i | \(0.452416\pi\) |
−0.701719 | + | 0.712454i | \(0.747584\pi\) | |||||||
\(6\) | 0.309017 | − | 0.951057i | 0.126156 | − | 0.388267i | ||||
\(7\) | 1.61803 | − | 1.17557i | 0.611559 | − | 0.444324i | −0.238404 | − | 0.971166i | \(-0.576624\pi\) |
0.849963 | + | 0.526842i | \(0.176624\pi\) | |||||||
\(8\) | −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 | 0.962739 | + | 0.270434i | \(0.0871670\pi\) |
−0.619915 | + | 0.784669i | \(0.712833\pi\) | |||||||
\(14\) | 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 | \(-0.977979\pi\) |
0.847713 | + | 0.530456i | \(0.177979\pi\) | |||||||
\(18\) | −0.809017 | + | 0.587785i | −0.190687 | + | 0.138542i | ||||
\(19\) | 0 | 0 | 0.587785 | − | 0.809017i | \(-0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(20\) | −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 | −0.532855 | + | 0.846206i | \(0.678881\pi\) |
−0.969451 | + | 0.245284i | \(0.921119\pi\) | |||||||
\(30\) | 3.23607 | + | 2.35114i | 0.590822 | + | 0.429258i | ||||
\(31\) | −2.47214 | − | 7.60845i | −0.444009 | − | 1.36652i | −0.883567 | − | 0.468304i | \(-0.844865\pi\) |
0.439558 | − | 0.898214i | \(-0.355135\pi\) | |||||||
\(32\) | 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 | −0.446786 | − | 0.894641i | \(-0.647432\pi\) |
0.712789 | + | 0.701378i | \(0.247432\pi\) | |||||||
\(38\) | 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 | \(-0.349916\pi\) |
−0.706920 | + | 0.707293i | \(0.749916\pi\) | |||||||
\(42\) | −0.618034 | − | 1.90211i | −0.0953647 | − | 0.293502i | ||||
\(43\) | 4.00000 | 0.609994 | 0.304997 | − | 0.952353i | \(-0.401344\pi\) | ||||
0.304997 | + | 0.952353i | \(0.401344\pi\) | |||||||
\(44\) | 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 | 0.699506 | − | 0.714627i | \(-0.253403\pi\) |
−0.463491 | + | 0.886101i | \(0.653403\pi\) | |||||||
\(48\) | −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 | 0.999357 | − | 0.0358519i | \(-0.0114145\pi\) |
−0.829570 | + | 0.558403i | \(0.811414\pi\) | |||||||
\(54\) | 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 | \(-0.700000\pi\) | ||||
0.587785 | + | 0.809017i | \(0.300000\pi\) | |||||||
\(60\) | −1.23607 | + | 3.80423i | −0.159576 | + | 0.491123i | ||||
\(61\) | −2.47214 | + | 7.60845i | −0.316525 | + | 0.974162i | 0.658598 | + | 0.752495i | \(0.271150\pi\) |
−0.975122 | + | 0.221667i | \(0.928850\pi\) | |||||||
\(62\) | 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 | −0.907662 | − | 0.419703i | \(-0.862134\pi\) |
0.981009 | + | 0.193963i | \(0.0621343\pi\) | |||||||
\(72\) | 0.309017 | − | 0.951057i | 0.0364180 | − | 0.112083i | ||||
\(73\) | 4.85410 | − | 3.52671i | 0.568130 | − | 0.412770i | −0.266296 | − | 0.963891i | \(-0.585800\pi\) |
0.834425 | + | 0.551121i | \(0.185800\pi\) | |||||||
\(74\) | 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 | 0.960138 | + | 0.279526i | \(0.0901773\pi\) |
−0.612467 | + | 0.790496i | \(0.709823\pi\) | |||||||
\(80\) | 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 | \(-0.829548\pi\) |
0.995695 | + | 0.0926948i | \(0.0295481\pi\) | |||||||
\(84\) | 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 | 0.914766 | − | 0.403985i | \(-0.132375\pi\) |
−0.977517 | + | 0.210855i | \(0.932375\pi\) | |||||||
\(98\) | −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 | \(-0.0682745\pi\) |
−0.915588 | + | 0.402117i | \(0.868274\pi\) | |||||||
\(102\) | 1.61803 | + | 1.17557i | 0.160209 | + | 0.116399i | ||||
\(103\) | −3.23607 | + | 2.35114i | −0.318859 | + | 0.231665i | −0.735689 | − | 0.677320i | \(-0.763141\pi\) |
0.416829 | + | 0.908985i | \(0.363141\pi\) | |||||||
\(104\) | 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 | \(-0.103036\pi\) |
−0.00953827 | + | 0.999955i | \(0.503036\pi\) | |||||||
\(108\) | 0.309017 | + | 0.951057i | 0.0297352 | + | 0.0915155i | ||||
\(109\) | 20.0000 | 1.91565 | 0.957826 | − | 0.287348i | \(-0.0927736\pi\) | ||||
0.957826 | + | 0.287348i | \(0.0927736\pi\) | |||||||
\(110\) | 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 | 0.792210 | − | 0.610249i | \(-0.208930\pi\) |
−0.335575 | + | 0.942014i | \(0.608930\pi\) | |||||||
\(114\) | 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 | −0.0949102 | + | 0.995486i | \(0.530256\pi\) |
−0.508348 | + | 0.861152i | \(0.669744\pi\) | |||||||
\(128\) | −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 | \(-0.324356\pi\) | ||||
0.524222 | + | 0.851581i | \(0.324356\pi\) | |||||||
\(132\) | 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 | −0.973980 | − | 0.226633i | \(-0.927228\pi\) |
0.921178 | + | 0.389141i | \(0.127228\pi\) | |||||||
\(138\) | −1.85410 | + | 5.70634i | −0.157832 | + | 0.485756i | ||||
\(139\) | 0 | 0 | −0.587785 | − | 0.809017i | \(-0.700000\pi\) | ||||
0.587785 | + | 0.809017i | \(0.300000\pi\) | |||||||
\(140\) | −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 | 0.741031 | + | 0.671471i | \(0.234337\pi\) |
−0.994187 | + | 0.107665i | \(0.965663\pi\) | |||||||
\(150\) | −8.89919 | + | 6.46564i | −0.726616 | + | 0.527917i | ||||
\(151\) | −1.61803 | − | 1.17557i | −0.131674 | − | 0.0956666i | 0.519999 | − | 0.854167i | \(-0.325932\pi\) |
−0.651673 | + | 0.758500i | \(0.725932\pi\) | |||||||
\(152\) | 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 | −0.172144 | − | 0.985072i | \(-0.555069\pi\) |
−0.990054 | + | 0.140685i | \(0.955069\pi\) | |||||||
\(158\) | −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 | 0.987723 | − | 0.156217i | \(-0.0499299\pi\) |
−0.890906 | + | 0.454187i | \(0.849930\pi\) | |||||||
\(164\) | 2.00000 | 0.156174 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.00000 | 0.310460 | ||||||||
\(167\) | −3.70820 | − | 11.4127i | −0.286949 | − | 0.883140i | −0.985808 | − | 0.167879i | \(-0.946308\pi\) |
0.698858 | − | 0.715260i | \(-0.253692\pi\) | |||||||
\(168\) | 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 | \(-0.226753\pi\) |
−0.387767 | + | 0.921758i | \(0.626753\pi\) | |||||||
\(174\) | 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 | \(-0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(180\) | 3.23607 | − | 2.35114i | 0.241202 | − | 0.175244i | ||||
\(181\) | 0.618034 | − | 1.90211i | 0.0459381 | − | 0.141383i | −0.925457 | − | 0.378854i | \(-0.876318\pi\) |
0.971395 | + | 0.237471i | \(0.0763184\pi\) | |||||||
\(182\) | −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 | −0.999760 | − | 0.0219304i | \(-0.993019\pi\) |
−0.288086 | + | 0.957605i | \(0.593019\pi\) | |||||||
\(192\) | 0.309017 | − | 0.951057i | 0.0223014 | − | 0.0686366i | ||||
\(193\) | 4.32624 | − | 13.3148i | 0.311409 | − | 0.958420i | −0.665798 | − | 0.746132i | \(-0.731909\pi\) |
0.977207 | − | 0.212287i | \(-0.0680913\pi\) | |||||||
\(194\) | 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 | \(-0.278427\pi\) | ||||
0.641223 | + | 0.767354i | \(0.278427\pi\) | |||||||
\(198\) | 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 | 0.993774 | + | 0.111417i | \(0.0355390\pi\) |
−0.738490 | + | 0.674264i | \(0.764461\pi\) | |||||||
\(212\) | −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 | 0.929730 | − | 0.368243i | \(-0.120040\pi\) |
−0.0629172 | + | 0.998019i | \(0.520040\pi\) | |||||||
\(224\) | 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 | \(-0.569623\pi\) |
0.861344 | + | 0.508022i | \(0.169623\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.09017 | + | 9.51057i | 0.204204 | + | 0.628476i | 0.999745 | + | 0.0225760i | \(0.00718678\pi\) |
−0.795541 | + | 0.605900i | \(0.792813\pi\) | |||||||
\(230\) | 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 | \(-0.162969\pi\) |
−0.993241 | + | 0.116073i | \(0.962969\pi\) | |||||||
\(234\) | −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 | \(-0.0760876\pi\) |
0.0750525 | + | 0.997180i | \(0.476088\pi\) | |||||||
\(240\) | −1.23607 | − | 3.80423i | −0.0797878 | − | 0.245562i | ||||
\(241\) | −18.0000 | −1.15948 | −0.579741 | − | 0.814801i | \(-0.696846\pi\) | ||||
−0.579741 | + | 0.814801i | \(0.696846\pi\) | |||||||
\(242\) | 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 | 0.842225 | − | 0.539126i | \(-0.181245\pi\) |
−0.998265 | + | 0.0588851i | \(0.981245\pi\) | |||||||
\(252\) | −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 | −0.940603 | − | 0.339510i | \(-0.889739\pi\) |
0.0322308 | + | 0.999480i | \(0.489739\pi\) | |||||||
\(258\) | 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 | \(-0.664210\pi\) | ||||
−0.493301 | + | 0.869859i | \(0.664210\pi\) | |||||||
\(264\) | 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 | 0.565419 | + | 0.824804i | \(0.308714\pi\) |
−0.942241 | + | 0.334935i | \(0.891286\pi\) | |||||||
\(270\) | −1.23607 | + | 3.80423i | −0.0752247 | + | 0.231518i | ||||
\(271\) | −17.7984 | + | 12.9313i | −1.08117 | + | 0.785519i | −0.977887 | − | 0.209133i | \(-0.932936\pi\) |
−0.103287 | + | 0.994652i | \(0.532936\pi\) | |||||||
\(272\) | 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 | \(-0.0227421\pi\) |
−0.848913 | + | 0.528533i | \(0.822742\pi\) | |||||||
\(278\) | 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 | −0.514872 | − | 0.857267i | \(-0.672161\pi\) |
0.920429 | − | 0.390909i | \(-0.127839\pi\) | |||||||
\(282\) | 1.61803 | − | 1.17557i | 0.0963525 | − | 0.0700042i | ||||
\(283\) | −3.23607 | − | 2.35114i | −0.192364 | − | 0.139761i | 0.487434 | − | 0.873160i | \(-0.337933\pi\) |
−0.679799 | + | 0.733399i | \(0.737933\pi\) | |||||||
\(284\) | 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 | \(-0.834103\pi\) |
0.205546 | + | 0.978647i | \(0.434103\pi\) | |||||||
\(294\) | 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 | \(-0.426686\pi\) | ||||
0.228292 | + | 0.973593i | \(0.426686\pi\) | |||||||
\(308\) | 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 | 0.540964 | − | 0.841046i | \(-0.318059\pi\) |
−0.632715 | + | 0.774385i | \(0.718059\pi\) | |||||||
\(312\) | −3.23607 | + | 2.35114i | −0.183206 | + | 0.133107i | ||||
\(313\) | −1.85410 | + | 5.70634i | −0.104800 | + | 0.322541i | −0.989683 | − | 0.143271i | \(-0.954238\pi\) |
0.884883 | + | 0.465813i | \(0.154238\pi\) | |||||||
\(314\) | 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 | −0.694895 | − | 0.719111i | \(-0.744549\pi\) |
0.139499 | − | 0.990222i | \(-0.455451\pi\) | |||||||
\(318\) | 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 | \(-0.495482\pi\) |
0.955347 | + | 0.295488i | \(0.0954822\pi\) | |||||||
\(338\) | −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 | 0.800838 | + | 0.598881i | \(0.204388\pi\) |
−0.999905 | + | 0.0137839i | \(0.995612\pi\) | |||||||
\(348\) | −8.09017 | + | 5.87785i | −0.433679 | + | 0.315086i | ||||
\(349\) | 16.1803 | + | 11.7557i | 0.866114 | + | 0.629268i | 0.929541 | − | 0.368718i | \(-0.120203\pi\) |
−0.0634276 | + | 0.997986i | \(0.520203\pi\) | |||||||
\(350\) | −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 | \(-0.523025\pi\) |
0.926237 | + | 0.376943i | \(0.123025\pi\) | |||||||
\(360\) | 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 | −0.743751 | − | 0.668457i | \(-0.766955\pi\) |
0.405908 | + | 0.913914i | \(0.366955\pi\) | |||||||
\(368\) | −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 | \(-0.466978\pi\) | ||||
0.103556 | + | 0.994624i | \(0.466978\pi\) | |||||||
\(374\) | 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 | 0.657266 | + | 0.753659i | \(0.271713\pi\) |
−0.974729 | + | 0.223391i | \(0.928287\pi\) | |||||||
\(380\) | 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 | 0.892446 | − | 0.451155i | \(-0.148988\pi\) |
−0.987186 | + | 0.159575i | \(0.948988\pi\) | |||||||
\(384\) | 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 | −0.0964443 | − | 0.995338i | \(-0.530747\pi\) |
0.916820 | + | 0.399300i | \(0.130747\pi\) | |||||||
\(390\) | −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 | 0.710705 | + | 0.703490i | \(0.248376\pi\) |
−0.988474 | + | 0.151393i | \(0.951624\pi\) | |||||||
\(402\) | −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 | \(-0.179522\pi\) |
−0.997931 | + | 0.0642902i | \(0.979522\pi\) | |||||||
\(410\) | 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 | 0.883084 | − | 0.469214i | \(-0.155463\pi\) |
−0.173361 | + | 0.984858i | \(0.555463\pi\) | |||||||
\(422\) | −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 | 0.844177 | + | 0.536065i | \(0.180090\pi\) |
−0.367862 | + | 0.929880i | \(0.619910\pi\) | |||||||
\(432\) | −0.809017 | − | 0.587785i | −0.0389238 | − | 0.0282798i | ||||
\(433\) | 4.85410 | − | 3.52671i | 0.233273 | − | 0.169483i | −0.465008 | − | 0.885307i | \(-0.653949\pi\) |
0.698281 | + | 0.715824i | \(0.253949\pi\) | |||||||
\(434\) | 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 | \(-0.423299\pi\) | ||||
0.238637 | + | 0.971109i | \(0.423299\pi\) | |||||||
\(440\) | 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 | 0.0216440 | − | 0.999766i | \(-0.493110\pi\) |
−0.944145 | + | 0.329529i | \(0.893110\pi\) | |||||||
\(444\) | 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 | 0.890500 | + | 0.454982i | \(0.150354\pi\) |
−0.452998 | + | 0.891512i | \(0.649646\pi\) | |||||||
\(450\) | 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 | \(-0.914895\pi\) |
0.935560 | + | 0.353167i | \(0.114895\pi\) | |||||||
\(458\) | −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 | \(-0.637680\pi\) | ||||
−0.419172 | + | 0.907907i | \(0.637680\pi\) | |||||||
\(462\) | 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 | −0.524296 | − | 0.851536i | \(-0.675671\pi\) |
0.924685 | − | 0.380734i | \(-0.124329\pi\) | |||||||
\(468\) | 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 | −0.103848 | − | 0.994593i | \(-0.533116\pi\) |
0.668622 | − | 0.743602i | \(-0.266884\pi\) | |||||||
\(480\) | 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 | −0.0588802 | − | 0.998265i | \(-0.518753\pi\) |
−0.967601 | + | 0.252482i | \(0.918753\pi\) | |||||||
\(488\) | 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 | \(-0.787280\pi\) |
0.346764 | + | 0.937952i | \(0.387280\pi\) | |||||||
\(492\) | −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 | −0.163434 | − | 0.986554i | \(-0.552257\pi\) |
0.887765 | + | 0.460297i | \(0.152257\pi\) | |||||||
\(500\) | −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 | \(-0.328423\pi\) |
−0.657588 | + | 0.753378i | \(0.728423\pi\) | |||||||
\(504\) | −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 | 0.885482 | − | 0.464673i | \(-0.153828\pi\) |
−0.168301 | + | 0.985736i | \(0.553828\pi\) | |||||||
\(510\) | −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 | −0.221172 | − | 0.975235i | \(-0.570988\pi\) |
0.859158 | + | 0.511711i | \(0.170988\pi\) | |||||||
\(522\) | 3.09017 | − | 9.51057i | 0.135253 | − | 0.416266i | ||||
\(523\) | 13.5967 | − | 41.8465i | 0.594544 | − | 1.82982i | 0.0375627 | − | 0.999294i | \(-0.488041\pi\) |
0.556982 | − | 0.830525i | \(-0.311959\pi\) | |||||||
\(524\) | −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 | \(-0.0169497\pi\) |
−0.839154 | + | 0.543893i | \(0.816950\pi\) | |||||||
\(542\) | −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 | \(-0.0601906\pi\) |
0.124739 | + | 0.992190i | \(0.460191\pi\) | |||||||
\(548\) | −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 | \(-0.997865\pi\) |
−0.302630 | + | 0.953108i | \(0.597865\pi\) | |||||||
\(558\) | 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 | −0.854080 | − | 0.520142i | \(-0.825879\pi\) |
0.385233 | − | 0.922819i | \(-0.374121\pi\) | |||||||
\(564\) | 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 | \(-0.232780\pi\) |
−0.405149 | + | 0.914251i | \(0.632780\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 32.0000 | 1.33916 | 0.669579 | − | 0.742741i | \(-0.266474\pi\) | ||||
0.669579 | + | 0.742741i | \(0.266474\pi\) | |||||||
\(572\) | 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 | −0.963097 | − | 0.269156i | \(-0.913255\pi\) |
0.937367 | + | 0.348342i | \(0.113255\pi\) | |||||||
\(578\) | −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 | −0.713286 | − | 0.700873i | \(-0.752794\pi\) |
0.446152 | + | 0.894957i | \(0.352794\pi\) | |||||||
\(588\) | −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 | \(-0.407191\pi\) | ||||
0.287456 | + | 0.957794i | \(0.407191\pi\) | |||||||
\(594\) | 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 | 0.562108 | + | 0.827064i | \(0.309990\pi\) |
−0.940891 | + | 0.338710i | \(0.890010\pi\) | |||||||
\(600\) | 3.39919 | − | 10.4616i | 0.138771 | − | 0.427094i | ||||
\(601\) | −33.9787 | + | 24.6870i | −1.38602 | + | 1.00700i | −0.389732 | + | 0.920928i | \(0.627432\pi\) |
−0.996289 | + | 0.0860746i | \(0.972568\pi\) | |||||||
\(602\) | 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 | −0.988970 | − | 0.148117i | \(-0.952679\pi\) |
0.713032 | − | 0.701131i | \(-0.247321\pi\) | |||||||
\(608\) | 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 | \(-0.195269\pi\) |
−0.294849 | + | 0.955544i | \(0.595269\pi\) | |||||||
\(614\) | 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 | 0.863388 | − | 0.504541i | \(-0.168338\pi\) |
−0.213045 | + | 0.977042i | \(0.568338\pi\) | |||||||
\(620\) | −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 | 0.599421 | − | 0.800434i | \(-0.295398\pi\) |
0.946489 | − | 0.322735i | \(-0.104602\pi\) | |||||||
\(632\) | 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 | 0.836982 | − | 0.547230i | \(-0.184318\pi\) |
−0.261805 | + | 0.965121i | \(0.584318\pi\) | |||||||
\(642\) | 9.70820 | − | 7.05342i | 0.383152 | − | 0.278376i | ||||
\(643\) | 13.5967 | − | 41.8465i | 0.536203 | − | 1.65026i | −0.204831 | − | 0.978797i | \(-0.565665\pi\) |
0.741034 | − | 0.671467i | \(-0.234335\pi\) | |||||||
\(644\) | 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 | −0.991161 | − | 0.132662i | \(-0.957648\pi\) |
0.723890 | − | 0.689916i | \(-0.242352\pi\) | |||||||
\(648\) | 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 | −0.898856 | − | 0.438244i | \(-0.855601\pi\) |
0.139033 | + | 0.990288i | \(0.455601\pi\) | |||||||
\(654\) | 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 | \(-0.627368\pi\) | ||||
−0.389545 | + | 0.921008i | \(0.627368\pi\) | |||||||
\(660\) | 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 | \(-0.0130324\pi\) |
−0.832398 | + | 0.554179i | \(0.813032\pi\) | |||||||
\(674\) | 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 | 0.731244 | + | 0.682116i | \(0.238940\pi\) |
−0.992526 | + | 0.122029i | \(0.961060\pi\) | |||||||
\(678\) | 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 | 0.445769 | + | 0.895148i | \(0.352930\pi\) |
0.165520 | + | 0.986206i | \(0.447070\pi\) | |||||||
\(692\) | −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 | \(-0.189598\pi\) |
−0.277779 | + | 0.960645i | \(0.589598\pi\) | |||||||
\(702\) | 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 | −0.876112 | − | 0.482108i | \(-0.839871\pi\) |
0.992165 | + | 0.124932i | \(0.0398711\pi\) | |||||||
\(710\) | −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 | −0.728332 | − | 0.685224i | \(-0.759704\pi\) |
0.426620 | + | 0.904431i | \(0.359704\pi\) | |||||||
\(720\) | −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 | \(-0.723536\pi\) |
0.526416 | + | 0.850227i | \(0.323536\pi\) | |||||||
\(734\) | −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 | 0.998045 | + | 0.0625022i | \(0.0199080\pi\) |
−0.770697 | + | 0.637201i | \(0.780092\pi\) | |||||||
\(740\) | −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 | −0.312107 | − | 0.950047i | \(-0.601035\pi\) |
0.810924 | − | 0.585152i | \(-0.198965\pi\) | |||||||
\(744\) | 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 | 0.699576 | − | 0.714558i | \(-0.253372\pi\) |
−0.463404 | + | 0.886147i | \(0.653372\pi\) | |||||||
\(752\) | 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 | −0.850331 | − | 0.526248i | \(-0.823599\pi\) |
0.378612 | − | 0.925555i | \(-0.376401\pi\) | |||||||
\(758\) | −20.0000 | −0.726433 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 6.79837 | + | 20.9232i | 0.246441 | + | 0.758467i | 0.995396 | + | 0.0958464i | \(0.0305558\pi\) |
−0.748955 | + | 0.662621i | \(0.769444\pi\) | |||||||
\(762\) | 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 | \(-0.857550\pi\) | ||||
−0.901523 | + | 0.432731i | \(0.857550\pi\) | |||||||
\(770\) | 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 | 0.528066 | − | 0.849203i | \(-0.322917\pi\) |
−0.644459 | + | 0.764639i | \(0.722917\pi\) | |||||||
\(774\) | −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 | 0.0707776 | + | 0.997492i | \(0.477452\pi\) |
−0.643571 | + | 0.765386i | \(0.722548\pi\) | |||||||
\(788\) | −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 | −0.672632 | − | 0.739977i | \(-0.734836\pi\) |
0.979118 | − | 0.203291i | \(-0.0651637\pi\) | |||||||
\(798\) | 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 | \(-0.843752\pi\) |
0.990569 | + | 0.137018i | \(0.0437518\pi\) | |||||||
\(810\) | 3.23607 | − | 2.35114i | 0.113704 | − | 0.0826107i | ||||
\(811\) | −9.70820 | − | 7.05342i | −0.340901 | − | 0.247679i | 0.404141 | − | 0.914697i | \(-0.367571\pi\) |
−0.745042 | + | 0.667018i | \(0.767571\pi\) | |||||||
\(812\) | −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 | \(-0.469238\pi\) |
0.976436 | + | 0.215808i | \(0.0692385\pi\) | |||||||
\(822\) | 1.61803 | + | 1.17557i | 0.0564354 | + | 0.0410027i | ||||
\(823\) | 7.41641 | + | 22.8254i | 0.258520 | + | 0.795642i | 0.993116 | + | 0.117137i | \(0.0373717\pi\) |
−0.734596 | + | 0.678505i | \(0.762628\pi\) | |||||||
\(824\) | 4.00000 | 0.139347 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −3.70820 | − | 11.4127i | −0.128947 | − | 0.396858i | 0.865653 | − | 0.500645i | \(-0.166904\pi\) |
−0.994600 | + | 0.103787i | \(0.966904\pi\) | |||||||
\(828\) | 4.85410 | + | 3.52671i | 0.168692 | + | 0.122562i | ||||
\(829\) | −24.2705 | + | 17.6336i | −0.842950 | + | 0.612439i | −0.923193 | − | 0.384337i | \(-0.874430\pi\) |
0.0802434 | + | 0.996775i | \(0.474430\pi\) | |||||||
\(830\) | −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 | 0.0838753 | − | 0.996476i | \(-0.473270\pi\) |
−0.921786 | + | 0.387698i | \(0.873270\pi\) | |||||||
\(840\) | −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 | −0.740105 | − | 0.672491i | \(-0.765224\pi\) |
0.994038 | − | 0.109034i | \(-0.0347758\pi\) | |||||||
\(854\) | −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 | \(-0.622616\pi\) | ||||
−0.375753 | + | 0.926720i | \(0.622616\pi\) | |||||||
\(858\) | 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 | −0.0907454 | − | 0.995874i | \(-0.528925\pi\) |
0.658775 | − | 0.752340i | \(-0.271075\pi\) | |||||||
\(864\) | 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 | \(-0.456737\pi\) |
−0.900415 | + | 0.435031i | \(0.856737\pi\) | |||||||
\(878\) | 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 | −0.203847 | − | 0.979003i | \(-0.565344\pi\) |
−0.994079 | + | 0.108659i | \(0.965344\pi\) | |||||||
\(884\) | 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 | \(-0.635431\pi\) |
0.738718 | + | 0.674014i | \(0.235431\pi\) | |||||||
\(888\) | 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 | −0.993556 | − | 0.113346i | \(-0.963843\pi\) |
0.870427 | + | 0.492298i | \(0.163843\pi\) | |||||||
\(908\) | −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 | 0.960773 | − | 0.277337i | \(-0.0894520\pi\) |
−0.940296 | + | 0.340357i | \(0.889452\pi\) | |||||||
\(912\) | 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 | \(-0.952741\pi\) |
0.887064 | + | 0.461647i | \(0.152741\pi\) | |||||||
\(920\) | −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 | −0.675835 | − | 0.737053i | \(-0.736217\pi\) |
0.979991 | − | 0.199042i | \(-0.0637830\pi\) | |||||||
\(930\) | 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 | 0.597178 | + | 0.802108i | \(0.296288\pi\) |
−0.0116601 | + | 0.999932i | \(0.503712\pi\) | |||||||
\(938\) | −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 | −0.481714 | − | 0.876329i | \(-0.659985\pi\) |
0.904808 | − | 0.425821i | \(-0.140015\pi\) | |||||||
\(942\) | −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 | \(-0.669018\pi\) |
0.663623 | + | 0.748067i | \(0.269018\pi\) | |||||||
\(954\) | −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 | \(-0.615089\pi\) | ||||
−0.353736 | + | 0.935345i | \(0.615089\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 2.47214 | + | 7.60845i | 0.0793755 | + | 0.244293i | ||||
\(971\) | −25.8885 | − | 18.8091i | −0.830803 | − | 0.603614i | 0.0889835 | − | 0.996033i | \(-0.471638\pi\) |
−0.919786 | + | 0.392419i | \(0.871638\pi\) | |||||||
\(972\) | −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 | 0.943018 | + | 0.332741i | \(0.107973\pi\) |
−0.567338 | + | 0.823485i | \(0.692027\pi\) | |||||||
\(978\) | 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 | 0.194027 | − | 0.980996i | \(-0.437845\pi\) |
0.992940 | + | 0.118614i | \(0.0378451\pi\) | |||||||
\(984\) | 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 | 0.332646 | − | 0.943052i | \(-0.392059\pi\) |
0.999689 | − | 0.0249463i | \(-0.00794146\pi\) | |||||||
\(998\) | 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 \(a_p\))