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.b.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 | ||||
\(5\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(6\) | 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 | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 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 | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | 1.85410 | − | 5.70634i | 0.449686 | − | 1.38399i | −0.427576 | − | 0.903979i | \(-0.640633\pi\) |
0.877262 | − | 0.480011i | \(-0.159367\pi\) | |||||||
\(18\) | −0.809017 | + | 0.587785i | −0.190687 | + | 0.138542i | ||||
\(19\) | −3.23607 | − | 2.35114i | −0.742405 | − | 0.539389i | 0.151058 | − | 0.988525i | \(-0.451732\pi\) |
−0.893463 | + | 0.449136i | \(0.851732\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.00000 | −0.436436 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 6.00000 | 1.25109 | 0.625543 | − | 0.780189i | \(-0.284877\pi\) | ||||
0.625543 | + | 0.780189i | \(0.284877\pi\) | |||||||
\(24\) | 0.309017 | + | 0.951057i | 0.0630778 | + | 0.194134i | ||||
\(25\) | 4.04508 | + | 2.93893i | 0.809017 | + | 0.587785i | ||||
\(26\) | −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 | ||||
\(29\) | 4.85410 | − | 3.52671i | 0.901384 | − | 0.654894i | −0.0374370 | − | 0.999299i | \(-0.511919\pi\) |
0.938821 | + | 0.344405i | \(0.111919\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.47214 | + | 7.60845i | 0.444009 | + | 1.36652i | 0.883567 | + | 0.468304i | \(0.155135\pi\) |
−0.439558 | + | 0.898214i | \(0.644865\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 6.00000 | 1.02899 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.809017 | − | 0.587785i | −0.134836 | − | 0.0979642i | ||||
\(37\) | 8.09017 | − | 5.87785i | 1.33002 | − | 0.966313i | 0.330267 | − | 0.943887i | \(-0.392861\pi\) |
0.999749 | − | 0.0224255i | \(-0.00713887\pi\) | |||||||
\(38\) | 1.23607 | − | 3.80423i | 0.200517 | − | 0.617127i | ||||
\(39\) | 1.23607 | − | 3.80423i | 0.197929 | − | 0.609164i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 4.85410 | + | 3.52671i | 0.758083 | + | 0.550780i | 0.898322 | − | 0.439338i | \(-0.144787\pi\) |
−0.140238 | + | 0.990118i | \(0.544787\pi\) | |||||||
\(42\) | −0.618034 | − | 1.90211i | −0.0953647 | − | 0.293502i | ||||
\(43\) | −8.00000 | −1.21999 | −0.609994 | − | 0.792406i | \(-0.708828\pi\) | ||||
−0.609994 | + | 0.792406i | \(0.708828\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.85410 | + | 5.70634i | 0.273372 | + | 0.841354i | ||||
\(47\) | 4.85410 | + | 3.52671i | 0.708044 | + | 0.514424i | 0.882542 | − | 0.470234i | \(-0.155830\pi\) |
−0.174498 | + | 0.984657i | \(0.555830\pi\) | |||||||
\(48\) | −0.809017 | + | 0.587785i | −0.116772 | + | 0.0848395i | ||||
\(49\) | −0.927051 | + | 2.85317i | −0.132436 | + | 0.407596i | ||||
\(50\) | −1.54508 | + | 4.75528i | −0.218508 | + | 0.672499i | ||||
\(51\) | −4.85410 | + | 3.52671i | −0.679710 | + | 0.493838i | ||||
\(52\) | −3.23607 | − | 2.35114i | −0.448762 | − | 0.326045i | ||||
\(53\) | 0 | 0 | 0.951057 | − | 0.309017i | \(-0.100000\pi\) | ||||
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(54\) | 1.00000 | 0.136083 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −2.00000 | −0.267261 | ||||||||
\(57\) | 1.23607 | + | 3.80423i | 0.163721 | + | 0.503882i | ||||
\(58\) | 4.85410 | + | 3.52671i | 0.637375 | + | 0.463080i | ||||
\(59\) | 0 | 0 | −0.587785 | − | 0.809017i | \(-0.700000\pi\) | ||||
0.587785 | + | 0.809017i | \(0.300000\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −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 | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.00000 | −0.488678 | −0.244339 | − | 0.969690i | \(-0.578571\pi\) | ||||
−0.244339 | + | 0.969690i | \(0.578571\pi\) | |||||||
\(68\) | 1.85410 | + | 5.70634i | 0.224843 | + | 0.691995i | ||||
\(69\) | −4.85410 | − | 3.52671i | −0.584365 | − | 0.424566i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.85410 | − | 5.70634i | 0.220041 | − | 0.677218i | −0.778716 | − | 0.627377i | \(-0.784129\pi\) |
0.998757 | − | 0.0498409i | \(-0.0158714\pi\) | |||||||
\(72\) | 0.309017 | − | 0.951057i | 0.0364180 | − | 0.112083i | ||||
\(73\) | 1.61803 | − | 1.17557i | 0.189377 | − | 0.137590i | −0.489057 | − | 0.872252i | \(-0.662659\pi\) |
0.678434 | + | 0.734662i | \(0.262659\pi\) | |||||||
\(74\) | 8.09017 | + | 5.87785i | 0.940463 | + | 0.683286i | ||||
\(75\) | −1.54508 | − | 4.75528i | −0.178411 | − | 0.549093i | ||||
\(76\) | 4.00000 | 0.458831 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 4.00000 | 0.452911 | ||||||||
\(79\) | −4.32624 | − | 13.3148i | −0.486740 | − | 1.49803i | −0.829445 | − | 0.558588i | \(-0.811343\pi\) |
0.342705 | − | 0.939443i | \(-0.388657\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.809017 | + | 0.587785i | −0.0898908 | + | 0.0653095i | ||||
\(82\) | −1.85410 | + | 5.70634i | −0.204751 | + | 0.630160i | ||||
\(83\) | 3.70820 | − | 11.4127i | 0.407028 | − | 1.25270i | −0.512161 | − | 0.858889i | \(-0.671155\pi\) |
0.919190 | − | 0.393815i | \(-0.128845\pi\) | |||||||
\(84\) | 1.61803 | − | 1.17557i | 0.176542 | − | 0.128265i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −2.47214 | − | 7.60845i | −0.266577 | − | 0.820440i | ||||
\(87\) | −6.00000 | −0.643268 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −6.00000 | −0.635999 | −0.317999 | − | 0.948091i | \(-0.603011\pi\) | ||||
−0.317999 | + | 0.948091i | \(0.603011\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 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 | ||||
\(94\) | −1.85410 | + | 5.70634i | −0.191236 | + | 0.588564i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −0.809017 | − | 0.587785i | −0.0825700 | − | 0.0599906i | ||||
\(97\) | 4.32624 | + | 13.3148i | 0.439263 | + | 1.35191i | 0.888654 | + | 0.458577i | \(0.151641\pi\) |
−0.449392 | + | 0.893335i | \(0.648359\pi\) | |||||||
\(98\) | −3.00000 | −0.303046 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −5.00000 | −0.500000 | ||||||||
\(101\) | −1.85410 | − | 5.70634i | −0.184490 | − | 0.567802i | 0.815449 | − | 0.578829i | \(-0.196490\pi\) |
−0.999939 | + | 0.0110267i | \(0.996490\pi\) | |||||||
\(102\) | −4.85410 | − | 3.52671i | −0.480628 | − | 0.349196i | ||||
\(103\) | 3.23607 | − | 2.35114i | 0.318859 | − | 0.231665i | −0.416829 | − | 0.908985i | \(-0.636859\pi\) |
0.735689 | + | 0.677320i | \(0.236859\pi\) | |||||||
\(104\) | 1.23607 | − | 3.80423i | 0.121206 | − | 0.373035i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −9.70820 | − | 7.05342i | −0.938527 | − | 0.681880i | 0.00953827 | − | 0.999955i | \(-0.496964\pi\) |
−0.948066 | + | 0.318074i | \(0.896964\pi\) | |||||||
\(108\) | 0.309017 | + | 0.951057i | 0.0297352 | + | 0.0915155i | ||||
\(109\) | 4.00000 | 0.383131 | 0.191565 | − | 0.981480i | \(-0.438644\pi\) | ||||
0.191565 | + | 0.981480i | \(0.438644\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −10.0000 | −0.949158 | ||||||||
\(112\) | −0.618034 | − | 1.90211i | −0.0583987 | − | 0.179733i | ||||
\(113\) | −14.5623 | − | 10.5801i | −1.36991 | − | 0.995295i | −0.997744 | − | 0.0671276i | \(-0.978617\pi\) |
−0.372162 | − | 0.928168i | \(-0.621383\pi\) | |||||||
\(114\) | −3.23607 | + | 2.35114i | −0.303086 | + | 0.220205i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −1.85410 | + | 5.70634i | −0.172149 | + | 0.529820i | ||||
\(117\) | −3.23607 | + | 2.35114i | −0.299175 | + | 0.217363i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −3.70820 | − | 11.4127i | −0.339930 | − | 1.04620i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0 | 0 | ||||||||
\(122\) | −8.00000 | −0.724286 | ||||||||
\(123\) | −1.85410 | − | 5.70634i | −0.167179 | − | 0.514523i | ||||
\(124\) | −6.47214 | − | 4.70228i | −0.581215 | − | 0.422277i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −0.618034 | + | 1.90211i | −0.0550588 | + | 0.169454i | ||||
\(127\) | −4.32624 | + | 13.3148i | −0.383892 | + | 1.18150i | 0.553390 | + | 0.832922i | \(0.313334\pi\) |
−0.937281 | + | 0.348574i | \(0.886666\pi\) | |||||||
\(128\) | −0.809017 | + | 0.587785i | −0.0715077 | + | 0.0519534i | ||||
\(129\) | 6.47214 | + | 4.70228i | 0.569840 | + | 0.414013i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 12.0000 | 1.04844 | 0.524222 | − | 0.851581i | \(-0.324356\pi\) | ||||
0.524222 | + | 0.851581i | \(0.324356\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −8.00000 | −0.693688 | ||||||||
\(134\) | −1.23607 | − | 3.80423i | −0.106780 | − | 0.328635i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −4.85410 | + | 3.52671i | −0.416236 | + | 0.302413i | ||||
\(137\) | −5.56231 | + | 17.1190i | −0.475220 | + | 1.46258i | 0.370441 | + | 0.928856i | \(0.379207\pi\) |
−0.845661 | + | 0.533720i | \(0.820793\pi\) | |||||||
\(138\) | 1.85410 | − | 5.70634i | 0.157832 | − | 0.485756i | ||||
\(139\) | −3.23607 | + | 2.35114i | −0.274480 | + | 0.199421i | −0.716506 | − | 0.697581i | \(-0.754260\pi\) |
0.442026 | + | 0.897002i | \(0.354260\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.85410 | − | 5.70634i | −0.156144 | − | 0.480560i | ||||
\(142\) | 6.00000 | 0.503509 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 1.00000 | 0.0833333 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 1.61803 | + | 1.17557i | 0.133909 | + | 0.0972909i | ||||
\(147\) | 2.42705 | − | 1.76336i | 0.200180 | − | 0.145439i | ||||
\(148\) | −3.09017 | + | 9.51057i | −0.254010 | + | 0.781764i | ||||
\(149\) | 1.85410 | − | 5.70634i | 0.151894 | − | 0.467482i | −0.845939 | − | 0.533280i | \(-0.820959\pi\) |
0.997833 | + | 0.0657982i | \(0.0209593\pi\) | |||||||
\(150\) | 4.04508 | − | 2.93893i | 0.330280 | − | 0.239962i | ||||
\(151\) | −8.09017 | − | 5.87785i | −0.658369 | − | 0.478333i | 0.207743 | − | 0.978183i | \(-0.433388\pi\) |
−0.866112 | + | 0.499851i | \(0.833388\pi\) | |||||||
\(152\) | 1.23607 | + | 3.80423i | 0.100258 | + | 0.308563i | ||||
\(153\) | 6.00000 | 0.485071 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 1.23607 | + | 3.80423i | 0.0989646 | + | 0.304582i | ||||
\(157\) | −1.61803 | − | 1.17557i | −0.129133 | − | 0.0938207i | 0.521344 | − | 0.853347i | \(-0.325431\pi\) |
−0.650477 | + | 0.759526i | \(0.725431\pi\) | |||||||
\(158\) | 11.3262 | − | 8.22899i | 0.901067 | − | 0.654664i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 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 | \(-0.150070\pi\) |
−0.987723 | + | 0.156217i | \(0.950070\pi\) | |||||||
\(164\) | −6.00000 | −0.468521 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 12.0000 | 0.931381 | ||||||||
\(167\) | −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 | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.23607 | − | 3.80423i | 0.0945245 | − | 0.290916i | ||||
\(172\) | 6.47214 | − | 4.70228i | 0.493496 | − | 0.358546i | ||||
\(173\) | 4.85410 | + | 3.52671i | 0.369051 | + | 0.268131i | 0.756817 | − | 0.653627i | \(-0.226753\pi\) |
−0.387767 | + | 0.921758i | \(0.626753\pi\) | |||||||
\(174\) | −1.85410 | − | 5.70634i | −0.140559 | − | 0.432596i | ||||
\(175\) | 10.0000 | 0.755929 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.85410 | − | 5.70634i | −0.138971 | − | 0.427708i | ||||
\(179\) | −19.4164 | − | 14.1068i | −1.45125 | − | 1.05440i | −0.985537 | − | 0.169460i | \(-0.945798\pi\) |
−0.465713 | − | 0.884936i | \(-0.654202\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −6.79837 | + | 20.9232i | −0.505319 | + | 1.55521i | 0.294914 | + | 0.955524i | \(0.404709\pi\) |
−0.800233 | + | 0.599689i | \(0.795291\pi\) | |||||||
\(182\) | −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 | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 8.00000 | 0.586588 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −6.00000 | −0.437595 | ||||||||
\(189\) | −0.618034 | − | 1.90211i | −0.0449554 | − | 0.138358i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −14.5623 | + | 10.5801i | −1.05369 | + | 0.765552i | −0.972911 | − | 0.231180i | \(-0.925741\pi\) |
−0.0807805 | + | 0.996732i | \(0.525741\pi\) | |||||||
\(192\) | 0.309017 | − | 0.951057i | 0.0223014 | − | 0.0686366i | ||||
\(193\) | −4.32624 | + | 13.3148i | −0.311409 | + | 0.958420i | 0.665798 | + | 0.746132i | \(0.268091\pi\) |
−0.977207 | + | 0.212287i | \(0.931909\pi\) | |||||||
\(194\) | −11.3262 | + | 8.22899i | −0.813176 | + | 0.590807i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.927051 | − | 2.85317i | −0.0662179 | − | 0.203798i | ||||
\(197\) | −6.00000 | −0.427482 | −0.213741 | − | 0.976890i | \(-0.568565\pi\) | ||||
−0.213741 | + | 0.976890i | \(0.568565\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.00000 | −0.283552 | −0.141776 | − | 0.989899i | \(-0.545281\pi\) | ||||
−0.141776 | + | 0.989899i | \(0.545281\pi\) | |||||||
\(200\) | −1.54508 | − | 4.75528i | −0.109254 | − | 0.336249i | ||||
\(201\) | 3.23607 | + | 2.35114i | 0.228255 | + | 0.165837i | ||||
\(202\) | 4.85410 | − | 3.52671i | 0.341533 | − | 0.248139i | ||||
\(203\) | 3.70820 | − | 11.4127i | 0.260265 | − | 0.801013i | ||||
\(204\) | 1.85410 | − | 5.70634i | 0.129813 | − | 0.399524i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 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 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.47214 | − | 7.60845i | −0.170189 | − | 0.523787i | 0.829192 | − | 0.558963i | \(-0.188801\pi\) |
−0.999381 | + | 0.0351760i | \(0.988801\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −4.85410 | + | 3.52671i | −0.332598 | + | 0.241646i | ||||
\(214\) | 3.70820 | − | 11.4127i | 0.253488 | − | 0.780155i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −0.809017 | + | 0.587785i | −0.0550466 | + | 0.0399937i | ||||
\(217\) | 12.9443 | + | 9.40456i | 0.878714 | + | 0.638423i | ||||
\(218\) | 1.23607 | + | 3.80423i | 0.0837171 | + | 0.257655i | ||||
\(219\) | −2.00000 | −0.135147 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 24.0000 | 1.61441 | ||||||||
\(222\) | −3.09017 | − | 9.51057i | −0.207399 | − | 0.638307i | ||||
\(223\) | 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 | ||||
\(225\) | −1.54508 | + | 4.75528i | −0.103006 | + | 0.317019i | ||||
\(226\) | 5.56231 | − | 17.1190i | 0.369999 | − | 1.13874i | ||||
\(227\) | −9.70820 | + | 7.05342i | −0.644356 | + | 0.468152i | −0.861344 | − | 0.508022i | \(-0.830377\pi\) |
0.216988 | + | 0.976174i | \(0.430377\pi\) | |||||||
\(228\) | −3.23607 | − | 2.35114i | −0.214314 | − | 0.155708i | ||||
\(229\) | −6.79837 | − | 20.9232i | −0.449249 | − | 1.38265i | −0.877756 | − | 0.479108i | \(-0.840960\pi\) |
0.428507 | − | 0.903539i | \(-0.359040\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −6.00000 | −0.393919 | ||||||||
\(233\) | 5.56231 | + | 17.1190i | 0.364399 | + | 1.12150i | 0.950357 | + | 0.311163i | \(0.100718\pi\) |
−0.585958 | + | 0.810341i | \(0.699282\pi\) | |||||||
\(234\) | −3.23607 | − | 2.35114i | −0.211548 | − | 0.153699i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −4.32624 | + | 13.3148i | −0.281019 | + | 0.864889i | ||||
\(238\) | 9.70820 | − | 7.05342i | 0.629289 | − | 0.457206i | ||||
\(239\) | −9.70820 | − | 7.05342i | −0.627972 | − | 0.456248i | 0.227725 | − | 0.973725i | \(-0.426871\pi\) |
−0.855697 | + | 0.517477i | \(0.826871\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 10.0000 | 0.644157 | 0.322078 | − | 0.946713i | \(-0.395619\pi\) | ||||
0.322078 | + | 0.946713i | \(0.395619\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | −2.47214 | − | 7.60845i | −0.158262 | − | 0.487081i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 4.85410 | − | 3.52671i | 0.309486 | − | 0.224855i | ||||
\(247\) | 4.94427 | − | 15.2169i | 0.314596 | − | 0.968228i | ||||
\(248\) | 2.47214 | − | 7.60845i | 0.156981 | − | 0.483137i | ||||
\(249\) | −9.70820 | + | 7.05342i | −0.615232 | + | 0.446993i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 0 | 0 | 0.951057 | − | 0.309017i | \(-0.100000\pi\) | ||||
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(252\) | −2.00000 | −0.125988 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −14.0000 | −0.878438 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | 24.2705 | − | 17.6336i | 1.51395 | − | 1.09995i | 0.549568 | − | 0.835449i | \(-0.314792\pi\) |
0.964385 | − | 0.264502i | \(-0.0852075\pi\) | |||||||
\(258\) | −2.47214 | + | 7.60845i | −0.153908 | + | 0.473682i | ||||
\(259\) | 6.18034 | − | 19.0211i | 0.384028 | − | 1.18192i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 4.85410 | + | 3.52671i | 0.300461 | + | 0.218298i | ||||
\(262\) | 3.70820 | + | 11.4127i | 0.229094 | + | 0.705078i | ||||
\(263\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −2.47214 | − | 7.60845i | −0.151576 | − | 0.466504i | ||||
\(267\) | 4.85410 | + | 3.52671i | 0.297066 | + | 0.215831i | ||||
\(268\) | 3.23607 | − | 2.35114i | 0.197674 | − | 0.143619i | ||||
\(269\) | −7.41641 | + | 22.8254i | −0.452186 | + | 1.39169i | 0.422221 | + | 0.906493i | \(0.361251\pi\) |
−0.874407 | + | 0.485193i | \(0.838749\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.61803 | − | 1.17557i | 0.0982886 | − | 0.0714108i | −0.537555 | − | 0.843228i | \(-0.680652\pi\) |
0.635844 | + | 0.771818i | \(0.280652\pi\) | |||||||
\(272\) | −4.85410 | − | 3.52671i | −0.294323 | − | 0.213838i | ||||
\(273\) | −2.47214 | − | 7.60845i | −0.149620 | − | 0.460484i | ||||
\(274\) | −18.0000 | −1.08742 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 6.00000 | 0.361158 | ||||||||
\(277\) | 4.94427 | + | 15.2169i | 0.297073 | + | 0.914295i | 0.982517 | + | 0.186171i | \(0.0596077\pi\) |
−0.685445 | + | 0.728124i | \(0.740392\pi\) | |||||||
\(278\) | −3.23607 | − | 2.35114i | −0.194086 | − | 0.141012i | ||||
\(279\) | −6.47214 | + | 4.70228i | −0.387477 | + | 0.281518i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 1.85410 | − | 5.70634i | 0.110606 | − | 0.340412i | −0.880399 | − | 0.474234i | \(-0.842725\pi\) |
0.991005 | + | 0.133822i | \(0.0427251\pi\) | |||||||
\(282\) | 4.85410 | − | 3.52671i | 0.289058 | − | 0.210013i | ||||
\(283\) | 6.47214 | + | 4.70228i | 0.384729 | + | 0.279522i | 0.763292 | − | 0.646054i | \(-0.223582\pi\) |
−0.378563 | + | 0.925575i | \(0.623582\pi\) | |||||||
\(284\) | 1.85410 | + | 5.70634i | 0.110021 | + | 0.338609i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 12.0000 | 0.708338 | ||||||||
\(288\) | 0.309017 | + | 0.951057i | 0.0182090 | + | 0.0560415i | ||||
\(289\) | −15.3713 | − | 11.1679i | −0.904195 | − | 0.656936i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 4.32624 | − | 13.3148i | 0.253609 | − | 0.780527i | ||||
\(292\) | −0.618034 | + | 1.90211i | −0.0361677 | + | 0.111313i | ||||
\(293\) | −4.85410 | + | 3.52671i | −0.283580 | + | 0.206033i | −0.720477 | − | 0.693479i | \(-0.756077\pi\) |
0.436898 | + | 0.899511i | \(0.356077\pi\) | |||||||
\(294\) | 2.42705 | + | 1.76336i | 0.141548 | + | 0.102841i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −10.0000 | −0.581238 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 6.00000 | 0.347571 | ||||||||
\(299\) | 7.41641 | + | 22.8254i | 0.428902 | + | 1.32002i | ||||
\(300\) | 4.04508 | + | 2.93893i | 0.233543 | + | 0.169679i | ||||
\(301\) | −12.9443 | + | 9.40456i | −0.746095 | + | 0.542070i | ||||
\(302\) | 3.09017 | − | 9.51057i | 0.177819 | − | 0.547272i | ||||
\(303\) | −1.85410 | + | 5.70634i | −0.106515 | + | 0.327821i | ||||
\(304\) | −3.23607 | + | 2.35114i | −0.185601 | + | 0.134847i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 1.85410 | + | 5.70634i | 0.105992 | + | 0.326210i | ||||
\(307\) | −20.0000 | −1.14146 | −0.570730 | − | 0.821138i | \(-0.693340\pi\) | ||||
−0.570730 | + | 0.821138i | \(0.693340\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −4.00000 | −0.227552 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 14.5623 | + | 10.5801i | 0.825753 | + | 0.599944i | 0.918354 | − | 0.395759i | \(-0.129518\pi\) |
−0.0926019 | + | 0.995703i | \(0.529518\pi\) | |||||||
\(312\) | −3.23607 | + | 2.35114i | −0.183206 | + | 0.133107i | ||||
\(313\) | 8.03444 | − | 24.7275i | 0.454134 | − | 1.39768i | −0.418016 | − | 0.908440i | \(-0.637274\pi\) |
0.872149 | − | 0.489240i | \(-0.162726\pi\) | |||||||
\(314\) | 0.618034 | − | 1.90211i | 0.0348777 | − | 0.107342i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 11.3262 | + | 8.22899i | 0.637151 | + | 0.462917i | ||||
\(317\) | 3.70820 | + | 11.4127i | 0.208273 | + | 0.641000i | 0.999563 | + | 0.0295583i | \(0.00941007\pi\) |
−0.791290 | + | 0.611442i | \(0.790590\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 3.70820 | + | 11.4127i | 0.206972 | + | 0.636994i | ||||
\(322\) | 9.70820 | + | 7.05342i | 0.541017 | + | 0.393072i | ||||
\(323\) | −19.4164 | + | 14.1068i | −1.08036 | + | 0.784926i | ||||
\(324\) | 0.309017 | − | 0.951057i | 0.0171676 | − | 0.0528365i | ||||
\(325\) | −6.18034 | + | 19.0211i | −0.342824 | + | 1.05510i | ||||
\(326\) | 3.23607 | − | 2.35114i | 0.179229 | − | 0.130218i | ||||
\(327\) | −3.23607 | − | 2.35114i | −0.178955 | − | 0.130018i | ||||
\(328\) | −1.85410 | − | 5.70634i | −0.102376 | − | 0.315080i | ||||
\(329\) | 12.0000 | 0.661581 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.00000 | −0.219860 | −0.109930 | − | 0.993939i | \(-0.535063\pi\) | ||||
−0.109930 | + | 0.993939i | \(0.535063\pi\) | |||||||
\(332\) | 3.70820 | + | 11.4127i | 0.203514 | + | 0.626352i | ||||
\(333\) | 8.09017 | + | 5.87785i | 0.443339 | + | 0.322104i | ||||
\(334\) | 9.70820 | − | 7.05342i | 0.531209 | − | 0.385946i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −0.618034 | + | 1.90211i | −0.0337165 | + | 0.103769i | ||||
\(337\) | 1.61803 | − | 1.17557i | 0.0881399 | − | 0.0640374i | −0.542843 | − | 0.839834i | \(-0.682652\pi\) |
0.630982 | + | 0.775797i | \(0.282652\pi\) | |||||||
\(338\) | −2.42705 | − | 1.76336i | −0.132014 | − | 0.0959139i | ||||
\(339\) | 5.56231 | + | 17.1190i | 0.302103 | + | 0.929777i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 4.00000 | 0.216295 | ||||||||
\(343\) | 6.18034 | + | 19.0211i | 0.333707 | + | 1.02704i | ||||
\(344\) | 6.47214 | + | 4.70228i | 0.348954 | + | 0.253530i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.85410 | + | 5.70634i | −0.0996771 | + | 0.306775i | ||||
\(347\) | −11.1246 | + | 34.2380i | −0.597200 | + | 1.83799i | −0.0537472 | + | 0.998555i | \(0.517117\pi\) |
−0.543453 | + | 0.839439i | \(0.682883\pi\) | |||||||
\(348\) | 4.85410 | − | 3.52671i | 0.260207 | − | 0.189052i | ||||
\(349\) | −3.23607 | − | 2.35114i | −0.173223 | − | 0.125854i | 0.497796 | − | 0.867294i | \(-0.334143\pi\) |
−0.671019 | + | 0.741441i | \(0.734143\pi\) | |||||||
\(350\) | 3.09017 | + | 9.51057i | 0.165177 | + | 0.508361i | ||||
\(351\) | 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 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 4.85410 | − | 3.52671i | 0.257267 | − | 0.186915i | ||||
\(357\) | −3.70820 | + | 11.4127i | −0.196259 | + | 0.604023i | ||||
\(358\) | 7.41641 | − | 22.8254i | 0.391969 | − | 1.20636i | ||||
\(359\) | −9.70820 | + | 7.05342i | −0.512379 | + | 0.372265i | −0.813725 | − | 0.581249i | \(-0.802564\pi\) |
0.301346 | + | 0.953515i | \(0.402564\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.927051 | − | 2.85317i | −0.0487922 | − | 0.150167i | ||||
\(362\) | −22.0000 | −1.15629 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −8.00000 | −0.419314 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 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 | ||||
\(369\) | −1.85410 | + | 5.70634i | −0.0965207 | + | 0.297060i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 2.47214 | + | 7.60845i | 0.128174 | + | 0.394480i | ||||
\(373\) | −20.0000 | −1.03556 | −0.517780 | − | 0.855514i | \(-0.673242\pi\) | ||||
−0.517780 | + | 0.855514i | \(0.673242\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.85410 | − | 5.70634i | −0.0956180 | − | 0.294282i | ||||
\(377\) | 19.4164 | + | 14.1068i | 0.999996 | + | 0.726540i | ||||
\(378\) | 1.61803 | − | 1.17557i | 0.0832227 | − | 0.0604648i | ||||
\(379\) | 6.18034 | − | 19.0211i | 0.317463 | − | 0.977050i | −0.657266 | − | 0.753659i | \(-0.728287\pi\) |
0.974729 | − | 0.223391i | \(-0.0717128\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 11.3262 | − | 8.22899i | 0.580261 | − | 0.421584i | ||||
\(382\) | −14.5623 | − | 10.5801i | −0.745072 | − | 0.541327i | ||||
\(383\) | 1.85410 | + | 5.70634i | 0.0947402 | + | 0.291580i | 0.987186 | − | 0.159575i | \(-0.0510122\pi\) |
−0.892446 | + | 0.451155i | \(0.851012\pi\) | |||||||
\(384\) | 1.00000 | 0.0510310 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −14.0000 | −0.712581 | ||||||||
\(387\) | −2.47214 | − | 7.60845i | −0.125666 | − | 0.386759i | ||||
\(388\) | −11.3262 | − | 8.22899i | −0.575003 | − | 0.417764i | ||||
\(389\) | 0 | 0 | −0.587785 | − | 0.809017i | \(-0.700000\pi\) | ||||
0.587785 | + | 0.809017i | \(0.300000\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 11.1246 | − | 34.2380i | 0.562596 | − | 1.73149i | ||||
\(392\) | 2.42705 | − | 1.76336i | 0.122585 | − | 0.0890629i | ||||
\(393\) | −9.70820 | − | 7.05342i | −0.489714 | − | 0.355798i | ||||
\(394\) | −1.85410 | − | 5.70634i | −0.0934083 | − | 0.287481i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 26.0000 | 1.30490 | 0.652451 | − | 0.757831i | \(-0.273741\pi\) | ||||
0.652451 | + | 0.757831i | \(0.273741\pi\) | |||||||
\(398\) | −1.23607 | − | 3.80423i | −0.0619585 | − | 0.190689i | ||||
\(399\) | 6.47214 | + | 4.70228i | 0.324012 | + | 0.235409i | ||||
\(400\) | 4.04508 | − | 2.93893i | 0.202254 | − | 0.146946i | ||||
\(401\) | 9.27051 | − | 28.5317i | 0.462947 | − | 1.42480i | −0.398599 | − | 0.917125i | \(-0.630503\pi\) |
0.861546 | − | 0.507679i | \(-0.169497\pi\) | |||||||
\(402\) | −1.23607 | + | 3.80423i | −0.0616495 | + | 0.189738i | ||||
\(403\) | −25.8885 | + | 18.8091i | −1.28960 | + | 0.936949i | ||||
\(404\) | 4.85410 | + | 3.52671i | 0.241501 | + | 0.175460i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 12.0000 | 0.595550 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 6.00000 | 0.297044 | ||||||||
\(409\) | 10.5066 | + | 32.3359i | 0.519517 | + | 1.59891i | 0.774910 | + | 0.632071i | \(0.217795\pi\) |
−0.255393 | + | 0.966837i | \(0.582205\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 14.5623 | − | 10.5801i | 0.718306 | − | 0.521880i | ||||
\(412\) | −1.23607 | + | 3.80423i | −0.0608967 | + | 0.187421i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −4.85410 | + | 3.52671i | −0.238566 | + | 0.173328i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 1.23607 | + | 3.80423i | 0.0606032 | + | 0.186518i | ||||
\(417\) | 4.00000 | 0.195881 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 24.0000 | 1.17248 | 0.586238 | − | 0.810139i | \(-0.300608\pi\) | ||||
0.586238 | + | 0.810139i | \(0.300608\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 8.09017 | + | 5.87785i | 0.394291 | + | 0.286469i | 0.767211 | − | 0.641394i | \(-0.221644\pi\) |
−0.372921 | + | 0.927863i | \(0.621644\pi\) | |||||||
\(422\) | 6.47214 | − | 4.70228i | 0.315059 | − | 0.228904i | ||||
\(423\) | −1.85410 | + | 5.70634i | −0.0901495 | + | 0.277452i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 24.2705 | − | 17.6336i | 1.17729 | − | 0.855353i | ||||
\(426\) | −4.85410 | − | 3.52671i | −0.235182 | − | 0.170870i | ||||
\(427\) | 4.94427 | + | 15.2169i | 0.239270 | + | 0.736398i | ||||
\(428\) | 12.0000 | 0.580042 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 0 | 0 | 0.951057 | − | 0.309017i | \(-0.100000\pi\) | ||||
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(432\) | −0.809017 | − | 0.587785i | −0.0389238 | − | 0.0282798i | ||||
\(433\) | −21.0344 | + | 15.2824i | −1.01085 | + | 0.734426i | −0.964387 | − | 0.264494i | \(-0.914795\pi\) |
−0.0464634 | + | 0.998920i | \(0.514795\pi\) | |||||||
\(434\) | −4.94427 | + | 15.2169i | −0.237333 | + | 0.730435i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −3.23607 | + | 2.35114i | −0.154980 | + | 0.112599i | ||||
\(437\) | −19.4164 | − | 14.1068i | −0.928813 | − | 0.674822i | ||||
\(438\) | −0.618034 | − | 1.90211i | −0.0295308 | − | 0.0908865i | ||||
\(439\) | 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 | ||||||||
\(442\) | 7.41641 | + | 22.8254i | 0.352763 | + | 1.08569i | ||||
\(443\) | 19.4164 | + | 14.1068i | 0.922501 | + | 0.670236i | 0.944145 | − | 0.329529i | \(-0.106890\pi\) |
−0.0216440 | + | 0.999766i | \(0.506890\pi\) | |||||||
\(444\) | 8.09017 | − | 5.87785i | 0.383942 | − | 0.278951i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −4.94427 | + | 15.2169i | −0.234118 | + | 0.720541i | ||||
\(447\) | −4.85410 | + | 3.52671i | −0.229591 | + | 0.166808i | ||||
\(448\) | 1.61803 | + | 1.17557i | 0.0764449 | + | 0.0555405i | ||||
\(449\) | 1.85410 | + | 5.70634i | 0.0875005 | + | 0.269299i | 0.985227 | − | 0.171255i | \(-0.0547822\pi\) |
−0.897726 | + | 0.440554i | \(0.854782\pi\) | |||||||
\(450\) | −5.00000 | −0.235702 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 18.0000 | 0.846649 | ||||||||
\(453\) | 3.09017 | + | 9.51057i | 0.145189 | + | 0.446845i | ||||
\(454\) | −9.70820 | − | 7.05342i | −0.455629 | − | 0.331034i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 1.23607 | − | 3.80423i | 0.0578842 | − | 0.178149i | ||||
\(457\) | 3.09017 | − | 9.51057i | 0.144552 | − | 0.444885i | −0.852401 | − | 0.522889i | \(-0.824854\pi\) |
0.996953 | + | 0.0780031i | \(0.0248544\pi\) | |||||||
\(458\) | 17.7984 | − | 12.9313i | 0.831663 | − | 0.604239i | ||||
\(459\) | −4.85410 | − | 3.52671i | −0.226570 | − | 0.164613i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −42.0000 | −1.95614 | −0.978068 | − | 0.208288i | \(-0.933211\pi\) | ||||
−0.978068 | + | 0.208288i | \(0.933211\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.00000 | −0.185896 | −0.0929479 | − | 0.995671i | \(-0.529629\pi\) | ||||
−0.0929479 | + | 0.995671i | \(0.529629\pi\) | |||||||
\(464\) | −1.85410 | − | 5.70634i | −0.0860745 | − | 0.264910i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −14.5623 | + | 10.5801i | −0.674586 | + | 0.490115i | ||||
\(467\) | −3.70820 | + | 11.4127i | −0.171595 | + | 0.528116i | −0.999462 | − | 0.0328096i | \(-0.989555\pi\) |
0.827866 | + | 0.560925i | \(0.189555\pi\) | |||||||
\(468\) | 1.23607 | − | 3.80423i | 0.0571373 | − | 0.175850i | ||||
\(469\) | −6.47214 | + | 4.70228i | −0.298855 | + | 0.217131i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0.618034 | + | 1.90211i | 0.0284775 | + | 0.0876447i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −14.0000 | −0.643041 | ||||||||
\(475\) | −6.18034 | − | 19.0211i | −0.283573 | − | 0.872749i | ||||
\(476\) | 9.70820 | + | 7.05342i | 0.444975 | + | 0.323293i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 3.70820 | − | 11.4127i | 0.169609 | − | 0.522004i | ||||
\(479\) | 7.41641 | − | 22.8254i | 0.338864 | − | 1.04292i | −0.625923 | − | 0.779885i | \(-0.715277\pi\) |
0.964787 | − | 0.263032i | \(-0.0847225\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 32.3607 | + | 23.5114i | 1.47552 | + | 1.07203i | ||||
\(482\) | 3.09017 | + | 9.51057i | 0.140753 | + | 0.433194i | ||||
\(483\) | −12.0000 | −0.546019 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0.309017 | + | 0.951057i | 0.0140173 | + | 0.0431408i | ||||
\(487\) | −16.1803 | − | 11.7557i | −0.733201 | − | 0.532702i | 0.157373 | − | 0.987539i | \(-0.449697\pi\) |
−0.890575 | + | 0.454837i | \(0.849697\pi\) | |||||||
\(488\) | 6.47214 | − | 4.70228i | 0.292980 | − | 0.212862i | ||||
\(489\) | −1.23607 | + | 3.80423i | −0.0558969 | + | 0.172033i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 9.70820 | − | 7.05342i | 0.438125 | − | 0.318317i | −0.346764 | − | 0.937952i | \(-0.612720\pi\) |
0.784890 | + | 0.619636i | \(0.212720\pi\) | |||||||
\(492\) | 4.85410 | + | 3.52671i | 0.218840 | + | 0.158996i | ||||
\(493\) | −11.1246 | − | 34.2380i | −0.501027 | − | 1.54200i | ||||
\(494\) | 16.0000 | 0.719874 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 8.00000 | 0.359211 | ||||||||
\(497\) | −3.70820 | − | 11.4127i | −0.166336 | − | 0.511929i | ||||
\(498\) | −9.70820 | − | 7.05342i | −0.435035 | − | 0.316071i | ||||
\(499\) | 3.23607 | − | 2.35114i | 0.144866 | − | 0.105252i | −0.512992 | − | 0.858394i | \(-0.671463\pi\) |
0.657858 | + | 0.753142i | \(0.271463\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −3.70820 | + | 11.4127i | −0.165670 | + | 0.509881i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 9.70820 | + | 7.05342i | 0.432867 | + | 0.314497i | 0.782794 | − | 0.622280i | \(-0.213794\pi\) |
−0.349927 | + | 0.936777i | \(0.613794\pi\) | |||||||
\(504\) | −0.618034 | − | 1.90211i | −0.0275294 | − | 0.0847268i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 3.00000 | 0.133235 | ||||||||
\(508\) | −4.32624 | − | 13.3148i | −0.191946 | − | 0.590748i | ||||
\(509\) | −19.4164 | − | 14.1068i | −0.860617 | − | 0.625275i | 0.0674356 | − | 0.997724i | \(-0.478518\pi\) |
−0.928053 | + | 0.372449i | \(0.878518\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.23607 | − | 3.80423i | 0.0546804 | − | 0.168289i | ||||
\(512\) | 0.309017 | − | 0.951057i | 0.0136568 | − | 0.0420312i | ||||
\(513\) | −3.23607 | + | 2.35114i | −0.142876 | + | 0.103805i | ||||
\(514\) | 24.2705 | + | 17.6336i | 1.07053 | + | 0.777783i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −8.00000 | −0.352180 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 20.0000 | 0.878750 | ||||||||
\(519\) | −1.85410 | − | 5.70634i | −0.0813860 | − | 0.250480i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 14.5623 | − | 10.5801i | 0.637986 | − | 0.463524i | −0.221172 | − | 0.975235i | \(-0.570988\pi\) |
0.859158 | + | 0.511711i | \(0.170988\pi\) | |||||||
\(522\) | −1.85410 | + | 5.70634i | −0.0811518 | + | 0.249760i | ||||
\(523\) | 4.94427 | − | 15.2169i | 0.216198 | − | 0.665389i | −0.782868 | − | 0.622187i | \(-0.786244\pi\) |
0.999066 | − | 0.0432015i | \(-0.0137558\pi\) | |||||||
\(524\) | −9.70820 | + | 7.05342i | −0.424105 | + | 0.308130i | ||||
\(525\) | −8.09017 | − | 5.87785i | −0.353084 | − | 0.256531i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 48.0000 | 2.09091 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 13.0000 | 0.565217 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 6.47214 | − | 4.70228i | 0.280603 | − | 0.203870i | ||||
\(533\) | −7.41641 | + | 22.8254i | −0.321240 | + | 0.988676i | ||||
\(534\) | −1.85410 | + | 5.70634i | −0.0802348 | + | 0.246937i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 3.23607 | + | 2.35114i | 0.139777 | + | 0.101554i | ||||
\(537\) | 7.41641 | + | 22.8254i | 0.320042 | + | 0.984987i | ||||
\(538\) | −24.0000 | −1.03471 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −6.18034 | − | 19.0211i | −0.265714 | − | 0.817782i | −0.991528 | − | 0.129892i | \(-0.958537\pi\) |
0.725815 | − | 0.687890i | \(-0.241463\pi\) | |||||||
\(542\) | 1.61803 | + | 1.17557i | 0.0695005 | + | 0.0504951i | ||||
\(543\) | 17.7984 | − | 12.9313i | 0.763801 | − | 0.554934i | ||||
\(544\) | 1.85410 | − | 5.70634i | 0.0794940 | − | 0.244657i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 6.47214 | − | 4.70228i | 0.276982 | − | 0.201239i | ||||
\(547\) | −22.6525 | − | 16.4580i | −0.968550 | − | 0.703693i | −0.0134293 | − | 0.999910i | \(-0.504275\pi\) |
−0.955121 | + | 0.296217i | \(0.904275\pi\) | |||||||
\(548\) | −5.56231 | − | 17.1190i | −0.237610 | − | 0.731288i | ||||
\(549\) | −8.00000 | −0.341432 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −24.0000 | −1.02243 | ||||||||
\(552\) | 1.85410 | + | 5.70634i | 0.0789158 | + | 0.242878i | ||||
\(553\) | −22.6525 | − | 16.4580i | −0.963281 | − | 0.699865i | ||||
\(554\) | −12.9443 | + | 9.40456i | −0.549949 | + | 0.399562i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.23607 | − | 3.80423i | 0.0524210 | − | 0.161335i | ||||
\(557\) | 14.5623 | − | 10.5801i | 0.617025 | − | 0.448295i | −0.234856 | − | 0.972030i | \(-0.575462\pi\) |
0.851881 | + | 0.523735i | \(0.175462\pi\) | |||||||
\(558\) | −6.47214 | − | 4.70228i | −0.273987 | − | 0.199063i | ||||
\(559\) | −9.88854 | − | 30.4338i | −0.418241 | − | 1.28721i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 6.00000 | 0.253095 | ||||||||
\(563\) | 3.70820 | + | 11.4127i | 0.156282 | + | 0.480987i | 0.998289 | − | 0.0584805i | \(-0.0186256\pi\) |
−0.842006 | + | 0.539468i | \(0.818626\pi\) | |||||||
\(564\) | 4.85410 | + | 3.52671i | 0.204395 | + | 0.148501i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −2.47214 | + | 7.60845i | −0.103912 | + | 0.319807i | ||||
\(567\) | −0.618034 | + | 1.90211i | −0.0259550 | + | 0.0798812i | ||||
\(568\) | −4.85410 | + | 3.52671i | −0.203674 | + | 0.147978i | ||||
\(569\) | 14.5623 | + | 10.5801i | 0.610484 | + | 0.443542i | 0.849585 | − | 0.527452i | \(-0.176853\pi\) |
−0.239101 | + | 0.970995i | \(0.576853\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 28.0000 | 1.17176 | 0.585882 | − | 0.810397i | \(-0.300748\pi\) | ||||
0.585882 | + | 0.810397i | \(0.300748\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 18.0000 | 0.751961 | ||||||||
\(574\) | 3.70820 | + | 11.4127i | 0.154777 | + | 0.476356i | ||||
\(575\) | 24.2705 | + | 17.6336i | 1.01215 | + | 0.735370i | ||||
\(576\) | −0.809017 | + | 0.587785i | −0.0337090 | + | 0.0244911i | ||||
\(577\) | −10.5066 | + | 32.3359i | −0.437395 | + | 1.34616i | 0.453218 | + | 0.891400i | \(0.350276\pi\) |
−0.890613 | + | 0.454762i | \(0.849724\pi\) | |||||||
\(578\) | 5.87132 | − | 18.0701i | 0.244215 | − | 0.751616i | ||||
\(579\) | 11.3262 | − | 8.22899i | 0.470702 | − | 0.341985i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −7.41641 | − | 22.8254i | −0.307684 | − | 0.946955i | ||||
\(582\) | 14.0000 | 0.580319 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −2.00000 | −0.0827606 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −4.85410 | − | 3.52671i | −0.200521 | − | 0.145687i | ||||
\(587\) | −19.4164 | + | 14.1068i | −0.801401 | + | 0.582252i | −0.911325 | − | 0.411688i | \(-0.864939\pi\) |
0.109924 | + | 0.993940i | \(0.464939\pi\) | |||||||
\(588\) | −0.927051 | + | 2.85317i | −0.0382309 | + | 0.117663i | ||||
\(589\) | 9.88854 | − | 30.4338i | 0.407450 | − | 1.25400i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 4.85410 | + | 3.52671i | 0.199671 | + | 0.145070i | ||||
\(592\) | −3.09017 | − | 9.51057i | −0.127005 | − | 0.390882i | ||||
\(593\) | 30.0000 | 1.23195 | 0.615976 | − | 0.787765i | \(-0.288762\pi\) | ||||
0.615976 | + | 0.787765i | \(0.288762\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 1.85410 | + | 5.70634i | 0.0759470 | + | 0.233741i | ||||
\(597\) | 3.23607 | + | 2.35114i | 0.132443 | + | 0.0962258i | ||||
\(598\) | −19.4164 | + | 14.1068i | −0.793996 | + | 0.576872i | ||||
\(599\) | 9.27051 | − | 28.5317i | 0.378783 | − | 1.16577i | −0.562108 | − | 0.827064i | \(-0.690010\pi\) |
0.940891 | − | 0.338710i | \(-0.109990\pi\) | |||||||
\(600\) | −1.54508 | + | 4.75528i | −0.0630778 | + | 0.194134i | ||||
\(601\) | −17.7984 | + | 12.9313i | −0.726011 | + | 0.527478i | −0.888299 | − | 0.459266i | \(-0.848113\pi\) |
0.162288 | + | 0.986743i | \(0.448113\pi\) | |||||||
\(602\) | −12.9443 | − | 9.40456i | −0.527569 | − | 0.383301i | ||||
\(603\) | −1.23607 | − | 3.80423i | −0.0503366 | − | 0.154920i | ||||
\(604\) | 10.0000 | 0.406894 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −6.00000 | −0.243733 | ||||||||
\(607\) | −4.32624 | − | 13.3148i | −0.175597 | − | 0.540431i | 0.824064 | − | 0.566497i | \(-0.191702\pi\) |
−0.999660 | + | 0.0260665i | \(0.991702\pi\) | |||||||
\(608\) | −3.23607 | − | 2.35114i | −0.131240 | − | 0.0953514i | ||||
\(609\) | −9.70820 | + | 7.05342i | −0.393396 | + | 0.285819i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −7.41641 | + | 22.8254i | −0.300036 | + | 0.923415i | ||||
\(612\) | −4.85410 | + | 3.52671i | −0.196215 | + | 0.142559i | ||||
\(613\) | −12.9443 | − | 9.40456i | −0.522814 | − | 0.379847i | 0.294849 | − | 0.955544i | \(-0.404731\pi\) |
−0.817663 | + | 0.575697i | \(0.804731\pi\) | |||||||
\(614\) | −6.18034 | − | 19.0211i | −0.249418 | − | 0.767630i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −30.0000 | −1.20775 | −0.603877 | − | 0.797077i | \(-0.706378\pi\) | ||||
−0.603877 | + | 0.797077i | \(0.706378\pi\) | |||||||
\(618\) | −1.23607 | − | 3.80423i | −0.0497219 | − | 0.153028i | ||||
\(619\) | −35.5967 | − | 25.8626i | −1.43075 | − | 1.03950i | −0.989876 | − | 0.141937i | \(-0.954667\pi\) |
−0.440878 | − | 0.897567i | \(-0.645333\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 1.85410 | − | 5.70634i | 0.0744025 | − | 0.228988i | ||||
\(622\) | −5.56231 | + | 17.1190i | −0.223028 | + | 0.686410i | ||||
\(623\) | −9.70820 | + | 7.05342i | −0.388951 | + | 0.282589i | ||||
\(624\) | −3.23607 | − | 2.35114i | −0.129546 | − | 0.0941210i | ||||
\(625\) | 7.72542 | + | 23.7764i | 0.309017 | + | 0.951057i | ||||
\(626\) | 26.0000 | 1.03917 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 2.00000 | 0.0798087 | ||||||||
\(629\) | −18.5410 | − | 57.0634i | −0.739279 | − | 2.27527i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 12.9443 | − | 9.40456i | 0.515303 | − | 0.374390i | −0.299528 | − | 0.954087i | \(-0.596829\pi\) |
0.814832 | + | 0.579698i | \(0.196829\pi\) | |||||||
\(632\) | −4.32624 | + | 13.3148i | −0.172089 | + | 0.529634i | ||||
\(633\) | −2.47214 | + | 7.60845i | −0.0982586 | + | 0.302409i | ||||
\(634\) | −9.70820 | + | 7.05342i | −0.385562 | + | 0.280127i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −12.0000 | −0.475457 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 6.00000 | 0.237356 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −4.85410 | − | 3.52671i | −0.191726 | − | 0.139297i | 0.487781 | − | 0.872966i | \(-0.337806\pi\) |
−0.679507 | + | 0.733669i | \(0.737806\pi\) | |||||||
\(642\) | −9.70820 | + | 7.05342i | −0.383152 | + | 0.278376i | ||||
\(643\) | −1.23607 | + | 3.80423i | −0.0487458 | + | 0.150024i | −0.972467 | − | 0.233042i | \(-0.925132\pi\) |
0.923721 | + | 0.383066i | \(0.125132\pi\) | |||||||
\(644\) | −3.70820 | + | 11.4127i | −0.146124 | + | 0.449723i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −19.4164 | − | 14.1068i | −0.763928 | − | 0.555026i | ||||
\(647\) | 1.85410 | + | 5.70634i | 0.0728923 | + | 0.224339i | 0.980865 | − | 0.194691i | \(-0.0623703\pi\) |
−0.907972 | + | 0.419030i | \(0.862370\pi\) | |||||||
\(648\) | 1.00000 | 0.0392837 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −20.0000 | −0.784465 | ||||||||
\(651\) | −4.94427 | − | 15.2169i | −0.193781 | − | 0.596397i | ||||
\(652\) | 3.23607 | + | 2.35114i | 0.126734 | + | 0.0920778i | ||||
\(653\) | 29.1246 | − | 21.1603i | 1.13973 | − | 0.828065i | 0.152652 | − | 0.988280i | \(-0.451219\pi\) |
0.987082 | + | 0.160215i | \(0.0512187\pi\) | |||||||
\(654\) | 1.23607 | − | 3.80423i | 0.0483341 | − | 0.148757i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 4.85410 | − | 3.52671i | 0.189521 | − | 0.137695i | ||||
\(657\) | 1.61803 | + | 1.17557i | 0.0631255 | + | 0.0458634i | ||||
\(658\) | 3.70820 | + | 11.4127i | 0.144561 | + | 0.444913i | ||||
\(659\) | −36.0000 | −1.40236 | −0.701180 | − | 0.712984i | \(-0.747343\pi\) | ||||
−0.701180 | + | 0.712984i | \(0.747343\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −22.0000 | −0.855701 | −0.427850 | − | 0.903850i | \(-0.640729\pi\) | ||||
−0.427850 | + | 0.903850i | \(0.640729\pi\) | |||||||
\(662\) | −1.23607 | − | 3.80423i | −0.0480411 | − | 0.147855i | ||||
\(663\) | −19.4164 | − | 14.1068i | −0.754071 | − | 0.547865i | ||||
\(664\) | −9.70820 | + | 7.05342i | −0.376751 | + | 0.273726i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −3.09017 | + | 9.51057i | −0.119742 | + | 0.368527i | ||||
\(667\) | 29.1246 | − | 21.1603i | 1.12771 | − | 0.819329i | ||||
\(668\) | 9.70820 | + | 7.05342i | 0.375622 | + | 0.272905i | ||||
\(669\) | −4.94427 | − | 15.2169i | −0.191157 | − | 0.588320i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −2.00000 | −0.0771517 | ||||||||
\(673\) | −4.32624 | − | 13.3148i | −0.166764 | − | 0.513247i | 0.832398 | − | 0.554179i | \(-0.186968\pi\) |
−0.999162 | + | 0.0409312i | \(0.986968\pi\) | |||||||
\(674\) | 1.61803 | + | 1.17557i | 0.0623243 | + | 0.0452813i | ||||
\(675\) | 4.04508 | − | 2.93893i | 0.155695 | − | 0.113119i | ||||
\(676\) | 0.927051 | − | 2.85317i | 0.0356558 | − | 0.109737i | ||||
\(677\) | −9.27051 | + | 28.5317i | −0.356295 | + | 1.09656i | 0.598960 | + | 0.800779i | \(0.295581\pi\) |
−0.955255 | + | 0.295783i | \(0.904419\pi\) | |||||||
\(678\) | −14.5623 | + | 10.5801i | −0.559262 | + | 0.406328i | ||||
\(679\) | 22.6525 | + | 16.4580i | 0.869322 | + | 0.631600i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 12.0000 | 0.459841 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −24.0000 | −0.918334 | −0.459167 | − | 0.888350i | \(-0.651852\pi\) | ||||
−0.459167 | + | 0.888350i | \(0.651852\pi\) | |||||||
\(684\) | 1.23607 | + | 3.80423i | 0.0472622 | + | 0.145458i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −16.1803 | + | 11.7557i | −0.617768 | + | 0.448835i | ||||
\(687\) | −6.79837 | + | 20.9232i | −0.259374 | + | 0.798272i | ||||
\(688\) | −2.47214 | + | 7.60845i | −0.0942493 | + | 0.290070i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 6.18034 | + | 19.0211i | 0.235111 | + | 0.723598i | 0.997107 | + | 0.0760155i | \(0.0242198\pi\) |
−0.761995 | + | 0.647582i | \(0.775780\pi\) | |||||||
\(692\) | −6.00000 | −0.228086 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −36.0000 | −1.36654 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 4.85410 | + | 3.52671i | 0.183994 | + | 0.133680i | ||||
\(697\) | 29.1246 | − | 21.1603i | 1.10317 | − | 0.801502i | ||||
\(698\) | 1.23607 | − | 3.80423i | 0.0467859 | − | 0.143992i | ||||
\(699\) | 5.56231 | − | 17.1190i | 0.210386 | − | 0.647501i | ||||
\(700\) | −8.09017 | + | 5.87785i | −0.305780 | + | 0.222162i | ||||
\(701\) | −4.85410 | − | 3.52671i | −0.183337 | − | 0.133202i | 0.492331 | − | 0.870408i | \(-0.336145\pi\) |
−0.675668 | + | 0.737206i | \(0.736145\pi\) | |||||||
\(702\) | 1.23607 | + | 3.80423i | 0.0466524 | + | 0.143581i | ||||
\(703\) | −40.0000 | −1.50863 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1.85410 | − | 5.70634i | −0.0697800 | − | 0.214761i | ||||
\(707\) | −9.70820 | − | 7.05342i | −0.365115 | − | 0.265271i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 8.03444 | − | 24.7275i | 0.301740 | − | 0.928660i | −0.679134 | − | 0.734014i | \(-0.737644\pi\) |
0.980874 | − | 0.194645i | \(-0.0623555\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 11.3262 | − | 8.22899i | 0.424767 | − | 0.308611i | ||||
\(712\) | 4.85410 | + | 3.52671i | 0.181915 | + | 0.132169i | ||||
\(713\) | 14.8328 | + | 45.6507i | 0.555493 | + | 1.70963i | ||||
\(714\) | −12.0000 | −0.449089 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 24.0000 | 0.896922 | ||||||||
\(717\) | 3.70820 | + | 11.4127i | 0.138485 | + | 0.426214i | ||||
\(718\) | −9.70820 | − | 7.05342i | −0.362307 | − | 0.263231i | ||||
\(719\) | −24.2705 | + | 17.6336i | −0.905137 | + | 0.657621i | −0.939780 | − | 0.341779i | \(-0.888971\pi\) |
0.0346431 | + | 0.999400i | \(0.488971\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2.47214 | − | 7.60845i | 0.0920672 | − | 0.283354i | ||||
\(722\) | 2.42705 | − | 1.76336i | 0.0903255 | − | 0.0656253i | ||||
\(723\) | −8.09017 | − | 5.87785i | −0.300877 | − | 0.218600i | ||||
\(724\) | −6.79837 | − | 20.9232i | −0.252660 | − | 0.777606i | ||||
\(725\) | 30.0000 | 1.11417 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −28.0000 | −1.03846 | −0.519231 | − | 0.854634i | \(-0.673782\pi\) | ||||
−0.519231 | + | 0.854634i | \(0.673782\pi\) | |||||||
\(728\) | −2.47214 | − | 7.60845i | −0.0916235 | − | 0.281988i | ||||
\(729\) | −0.809017 | − | 0.587785i | −0.0299636 | − | 0.0217698i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −14.8328 | + | 45.6507i | −0.548612 | + | 1.68845i | ||||
\(732\) | −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 | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 6.00000 | 0.221163 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −6.00000 | −0.220863 | ||||||||
\(739\) | −2.47214 | − | 7.60845i | −0.0909390 | − | 0.279881i | 0.895235 | − | 0.445594i | \(-0.147008\pi\) |
−0.986174 | + | 0.165713i | \(0.947008\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −12.9443 | + | 9.40456i | −0.475520 | + | 0.345485i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −11.1246 | + | 34.2380i | −0.408122 | + | 1.25607i | 0.510137 | + | 0.860093i | \(0.329595\pi\) |
−0.918260 | + | 0.395979i | \(0.870405\pi\) | |||||||
\(744\) | −6.47214 | + | 4.70228i | −0.237280 | + | 0.172394i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −6.18034 | − | 19.0211i | −0.226278 | − | 0.696413i | ||||
\(747\) | 12.0000 | 0.439057 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −24.0000 | −0.876941 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −6.47214 | − | 4.70228i | −0.236172 | − | 0.171589i | 0.463404 | − | 0.886147i | \(-0.346628\pi\) |
−0.699576 | + | 0.714558i | \(0.746628\pi\) | |||||||
\(752\) | 4.85410 | − | 3.52671i | 0.177011 | − | 0.128606i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −7.41641 | + | 22.8254i | −0.270090 | + | 0.831250i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 1.61803 | + | 1.17557i | 0.0588473 | + | 0.0427551i | ||||
\(757\) | −10.5066 | − | 32.3359i | −0.381868 | − | 1.17527i | −0.938727 | − | 0.344662i | \(-0.887994\pi\) |
0.556859 | − | 0.830607i | \(-0.312006\pi\) | |||||||
\(758\) | 20.0000 | 0.726433 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −5.56231 | − | 17.1190i | −0.201633 | − | 0.620564i | −0.999835 | − | 0.0181732i | \(-0.994215\pi\) |
0.798201 | − | 0.602391i | \(-0.205785\pi\) | |||||||
\(762\) | 11.3262 | + | 8.22899i | 0.410306 | + | 0.298105i | ||||
\(763\) | 6.47214 | − | 4.70228i | 0.234307 | − | 0.170234i | ||||
\(764\) | 5.56231 | − | 17.1190i | 0.201237 | − | 0.619344i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −4.85410 | + | 3.52671i | −0.175386 | + | 0.127425i | ||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 0.309017 | + | 0.951057i | 0.0111507 | + | 0.0343183i | ||||
\(769\) | 34.0000 | 1.22607 | 0.613036 | − | 0.790055i | \(-0.289948\pi\) | ||||
0.613036 | + | 0.790055i | \(0.289948\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −30.0000 | −1.08042 | ||||||||
\(772\) | −4.32624 | − | 13.3148i | −0.155705 | − | 0.479210i | ||||
\(773\) | 0 | 0 | 0.587785 | − | 0.809017i | \(-0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(774\) | 6.47214 | − | 4.70228i | 0.232636 | − | 0.169020i | ||||
\(775\) | −12.3607 | + | 38.0423i | −0.444009 | + | 1.36652i | ||||
\(776\) | 4.32624 | − | 13.3148i | 0.155303 | − | 0.477973i | ||||
\(777\) | −16.1803 | + | 11.7557i | −0.580466 | + | 0.421734i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −7.41641 | − | 22.8254i | −0.265720 | − | 0.817803i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 36.0000 | 1.28736 | ||||||||
\(783\) | −1.85410 | − | 5.70634i | −0.0662602 | − | 0.203928i | ||||
\(784\) | 2.42705 | + | 1.76336i | 0.0866804 | + | 0.0629770i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 3.70820 | − | 11.4127i | 0.132267 | − | 0.407077i | ||||
\(787\) | −9.88854 | + | 30.4338i | −0.352489 | + | 1.08485i | 0.604963 | + | 0.796254i | \(0.293188\pi\) |
−0.957451 | + | 0.288594i | \(0.906812\pi\) | |||||||
\(788\) | 4.85410 | − | 3.52671i | 0.172920 | − | 0.125634i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −36.0000 | −1.28001 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −32.0000 | −1.13635 | ||||||||
\(794\) | 8.03444 | + | 24.7275i | 0.285132 | + | 0.877545i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 3.23607 | − | 2.35114i | 0.114699 | − | 0.0833340i | ||||
\(797\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(798\) | −2.47214 | + | 7.60845i | −0.0875127 | + | 0.269336i | ||||
\(799\) | 29.1246 | − | 21.1603i | 1.03035 | − | 0.748597i | ||||
\(800\) | 4.04508 | + | 2.93893i | 0.143015 | + | 0.103907i | ||||
\(801\) | −1.85410 | − | 5.70634i | −0.0655115 | − | 0.201624i | ||||
\(802\) | 30.0000 | 1.05934 | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | −4.00000 | −0.141069 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −25.8885 | − | 18.8091i | −0.911885 | − | 0.662523i | ||||
\(807\) | 19.4164 | − | 14.1068i | 0.683490 | − | 0.496584i | ||||
\(808\) | −1.85410 | + | 5.70634i | −0.0652271 | + | 0.200748i | ||||
\(809\) | 12.9787 | − | 39.9444i | 0.456307 | − | 1.40437i | −0.413286 | − | 0.910601i | \(-0.635619\pi\) |
0.869594 | − | 0.493768i | \(-0.164381\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 6.47214 | + | 4.70228i | 0.227267 | + | 0.165119i | 0.695592 | − | 0.718437i | \(-0.255142\pi\) |
−0.468325 | + | 0.883557i | \(0.655142\pi\) | |||||||
\(812\) | 3.70820 | + | 11.4127i | 0.130132 | + | 0.400506i | ||||
\(813\) | −2.00000 | −0.0701431 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 1.85410 | + | 5.70634i | 0.0649066 | + | 0.199762i | ||||
\(817\) | 25.8885 | + | 18.8091i | 0.905725 | + | 0.658048i | ||||
\(818\) | −27.5066 | + | 19.9847i | −0.961745 | + | 0.698749i | ||||
\(819\) | −2.47214 | + | 7.60845i | −0.0863834 | + | 0.265861i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −14.5623 | + | 10.5801i | −0.508228 | + | 0.369249i | −0.812151 | − | 0.583447i | \(-0.801703\pi\) |
0.303923 | + | 0.952697i | \(0.401703\pi\) | |||||||
\(822\) | 14.5623 | + | 10.5801i | 0.507919 | + | 0.369025i | ||||
\(823\) | 2.47214 | + | 7.60845i | 0.0861732 | + | 0.265214i | 0.984853 | − | 0.173391i | \(-0.0554726\pi\) |
−0.898680 | + | 0.438605i | \(0.855473\pi\) | |||||||
\(824\) | −4.00000 | −0.139347 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 3.70820 | + | 11.4127i | 0.128947 | + | 0.396858i | 0.994600 | − | 0.103787i | \(-0.0330962\pi\) |
−0.865653 | + | 0.500645i | \(0.833096\pi\) | |||||||
\(828\) | −4.85410 | − | 3.52671i | −0.168692 | − | 0.122562i | ||||
\(829\) | −11.3262 | + | 8.22899i | −0.393377 | + | 0.285805i | −0.766838 | − | 0.641841i | \(-0.778171\pi\) |
0.373461 | + | 0.927646i | \(0.378171\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 4.94427 | − | 15.2169i | 0.171515 | − | 0.527869i | ||||
\(832\) | −3.23607 | + | 2.35114i | −0.112190 | + | 0.0815111i | ||||
\(833\) | 14.5623 | + | 10.5801i | 0.504554 | + | 0.366580i | ||||
\(834\) | 1.23607 | + | 3.80423i | 0.0428015 | + | 0.131730i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 8.00000 | 0.276520 | ||||||||
\(838\) | 7.41641 | + | 22.8254i | 0.256196 | + | 0.788489i | ||||
\(839\) | −14.5623 | − | 10.5801i | −0.502747 | − | 0.365267i | 0.307318 | − | 0.951607i | \(-0.400568\pi\) |
−0.810065 | + | 0.586340i | \(0.800568\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 2.16312 | − | 6.65740i | 0.0745903 | − | 0.229565i | ||||
\(842\) | −3.09017 | + | 9.51057i | −0.106494 | + | 0.327756i | ||||
\(843\) | −4.85410 | + | 3.52671i | −0.167184 | + | 0.121466i | ||||
\(844\) | 6.47214 | + | 4.70228i | 0.222780 | + | 0.161859i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −6.00000 | −0.206284 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −2.47214 | − | 7.60845i | −0.0848435 | − | 0.261121i | ||||
\(850\) | 24.2705 | + | 17.6336i | 0.832472 | + | 0.604826i | ||||
\(851\) | 48.5410 | − | 35.2671i | 1.66396 | − | 1.20894i | ||||
\(852\) | 1.85410 | − | 5.70634i | 0.0635205 | − | 0.195496i | ||||
\(853\) | −2.47214 | + | 7.60845i | −0.0846443 | + | 0.260508i | −0.984417 | − | 0.175851i | \(-0.943732\pi\) |
0.899772 | + | 0.436359i | \(0.143732\pi\) | |||||||
\(854\) | −12.9443 | + | 9.40456i | −0.442944 | + | 0.321818i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 3.70820 | + | 11.4127i | 0.126744 | + | 0.390077i | ||||
\(857\) | −54.0000 | −1.84460 | −0.922302 | − | 0.386469i | \(-0.873695\pi\) | ||||
−0.922302 | + | 0.386469i | \(0.873695\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 20.0000 | 0.682391 | 0.341196 | − | 0.939992i | \(-0.389168\pi\) | ||||
0.341196 | + | 0.939992i | \(0.389168\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −9.70820 | − | 7.05342i | −0.330855 | − | 0.240380i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 12.9787 | − | 39.9444i | 0.441801 | − | 1.35972i | −0.444154 | − | 0.895950i | \(-0.646496\pi\) |
0.885955 | − | 0.463772i | \(-0.153504\pi\) | |||||||
\(864\) | 0.309017 | − | 0.951057i | 0.0105130 | − | 0.0323556i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −21.0344 | − | 15.2824i | −0.714779 | − | 0.519318i | ||||
\(867\) | 5.87132 | + | 18.0701i | 0.199401 | + | 0.613692i | ||||
\(868\) | −16.0000 | −0.543075 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −4.94427 | − | 15.2169i | −0.167530 | − | 0.515605i | ||||
\(872\) | −3.23607 | − | 2.35114i | −0.109587 | − | 0.0796197i | ||||
\(873\) | −11.3262 | + | 8.22899i | −0.383335 | + | 0.278509i | ||||
\(874\) | 7.41641 | − | 22.8254i | 0.250864 | − | 0.772079i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 1.61803 | − | 1.17557i | 0.0546683 | − | 0.0397188i | ||||
\(877\) | −42.0689 | − | 30.5648i | −1.42057 | − | 1.03210i | −0.991678 | − | 0.128743i | \(-0.958906\pi\) |
−0.428887 | − | 0.903358i | \(-0.641094\pi\) | |||||||
\(878\) | 3.09017 | + | 9.51057i | 0.104288 | + | 0.320966i | ||||
\(879\) | 6.00000 | 0.202375 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −30.0000 | −1.01073 | −0.505363 | − | 0.862907i | \(-0.668641\pi\) | ||||
−0.505363 | + | 0.862907i | \(0.668641\pi\) | |||||||
\(882\) | −0.927051 | − | 2.85317i | −0.0312154 | − | 0.0960712i | ||||
\(883\) | 22.6525 | + | 16.4580i | 0.762317 | + | 0.553855i | 0.899620 | − | 0.436674i | \(-0.143844\pi\) |
−0.137303 | + | 0.990529i | \(0.543844\pi\) | |||||||
\(884\) | −19.4164 | + | 14.1068i | −0.653044 | + | 0.474465i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −7.41641 | + | 22.8254i | −0.249159 | + | 0.766833i | ||||
\(887\) | −29.1246 | + | 21.1603i | −0.977909 | + | 0.710492i | −0.957240 | − | 0.289294i | \(-0.906579\pi\) |
−0.0206685 | + | 0.999786i | \(0.506579\pi\) | |||||||
\(888\) | 8.09017 | + | 5.87785i | 0.271488 | + | 0.197248i | ||||
\(889\) | 8.65248 | + | 26.6296i | 0.290195 | + | 0.893128i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −16.0000 | −0.535720 | ||||||||
\(893\) | −7.41641 | − | 22.8254i | −0.248181 | − | 0.763821i | ||||
\(894\) | −4.85410 | − | 3.52671i | −0.162345 | − | 0.117951i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −0.618034 | + | 1.90211i | −0.0206471 | + | 0.0635451i | ||||
\(897\) | 7.41641 | − | 22.8254i | 0.247627 | − | 0.762116i | ||||
\(898\) | −4.85410 | + | 3.52671i | −0.161983 | + | 0.117688i | ||||
\(899\) | 38.8328 | + | 28.2137i | 1.29515 | + | 0.940979i | ||||
\(900\) | −1.54508 | − | 4.75528i | −0.0515028 | − | 0.158509i | ||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 16.0000 | 0.532447 | ||||||||
\(904\) | 5.56231 | + | 17.1190i | 0.185000 | + | 0.569370i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −8.09017 | + | 5.87785i | −0.268778 | + | 0.195279i | ||||
\(907\) | 6.18034 | − | 19.0211i | 0.205215 | − | 0.631586i | −0.794490 | − | 0.607278i | \(-0.792262\pi\) |
0.999705 | − | 0.0243086i | \(-0.00773844\pi\) | |||||||
\(908\) | 3.70820 | − | 11.4127i | 0.123061 | − | 0.378743i | ||||
\(909\) | 4.85410 | − | 3.52671i | 0.161000 | − | 0.116974i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −12.9787 | − | 39.9444i | −0.430004 | − | 1.32342i | −0.898121 | − | 0.439749i | \(-0.855067\pi\) |
0.468117 | − | 0.883667i | \(-0.344933\pi\) | |||||||
\(912\) | 4.00000 | 0.132453 | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 10.0000 | 0.330771 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 17.7984 | + | 12.9313i | 0.588075 | + | 0.427261i | ||||
\(917\) | 19.4164 | − | 14.1068i | 0.641186 | − | 0.465849i | ||||
\(918\) | 1.85410 | − | 5.70634i | 0.0611945 | − | 0.188337i | ||||
\(919\) | −0.618034 | + | 1.90211i | −0.0203871 | + | 0.0627449i | −0.960732 | − | 0.277476i | \(-0.910502\pi\) |
0.940345 | + | 0.340221i | \(0.110502\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 16.1803 | + | 11.7557i | 0.533160 | + | 0.387364i | ||||
\(922\) | −12.9787 | − | 39.9444i | −0.427431 | − | 1.31550i | ||||
\(923\) | 24.0000 | 0.789970 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 50.0000 | 1.64399 | ||||||||
\(926\) | −1.23607 | − | 3.80423i | −0.0406197 | − | 0.125015i | ||||
\(927\) | 3.23607 | + | 2.35114i | 0.106286 | + | 0.0772216i | ||||
\(928\) | 4.85410 | − | 3.52671i | 0.159344 | − | 0.115770i | ||||
\(929\) | 9.27051 | − | 28.5317i | 0.304156 | − | 0.936095i | −0.675835 | − | 0.737053i | \(-0.736217\pi\) |
0.979991 | − | 0.199042i | \(-0.0637830\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 9.70820 | − | 7.05342i | 0.318174 | − | 0.231167i | ||||
\(932\) | −14.5623 | − | 10.5801i | −0.477004 | − | 0.346564i | ||||
\(933\) | −5.56231 | − | 17.1190i | −0.182102 | − | 0.560451i | ||||
\(934\) | −12.0000 | −0.392652 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 4.00000 | 0.130744 | ||||||||
\(937\) | 6.79837 | + | 20.9232i | 0.222093 | + | 0.683533i | 0.998574 | + | 0.0533913i | \(0.0170030\pi\) |
−0.776480 | + | 0.630141i | \(0.782997\pi\) | |||||||
\(938\) | −6.47214 | − | 4.70228i | −0.211323 | − | 0.153535i | ||||
\(939\) | −21.0344 | + | 15.2824i | −0.686433 | + | 0.498723i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 5.56231 | − | 17.1190i | 0.181326 | − | 0.558064i | −0.818540 | − | 0.574450i | \(-0.805216\pi\) |
0.999866 | + | 0.0163859i | \(0.00521602\pi\) | |||||||
\(942\) | −1.61803 | + | 1.17557i | −0.0527184 | + | 0.0383022i | ||||
\(943\) | 29.1246 | + | 21.1603i | 0.948428 | + | 0.689073i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 12.0000 | 0.389948 | 0.194974 | − | 0.980808i | \(-0.437538\pi\) | ||||
0.194974 | + | 0.980808i | \(0.437538\pi\) | |||||||
\(948\) | −4.32624 | − | 13.3148i | −0.140510 | − | 0.432444i | ||||
\(949\) | 6.47214 | + | 4.70228i | 0.210094 | + | 0.152643i | ||||
\(950\) | 16.1803 | − | 11.7557i | 0.524960 | − | 0.381405i | ||||
\(951\) | 3.70820 | − | 11.4127i | 0.120247 | − | 0.370081i | ||||
\(952\) | −3.70820 | + | 11.4127i | −0.120184 | + | 0.369887i | ||||
\(953\) | −33.9787 | + | 24.6870i | −1.10068 | + | 0.799690i | −0.981171 | − | 0.193143i | \(-0.938132\pi\) |
−0.119508 | + | 0.992833i | \(0.538132\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 12.0000 | 0.388108 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 24.0000 | 0.775405 | ||||||||
\(959\) | 11.1246 | + | 34.2380i | 0.359232 | + | 1.10560i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −26.6976 | + | 19.3969i | −0.861212 | + | 0.625707i | ||||
\(962\) | −12.3607 | + | 38.0423i | −0.398524 | + | 1.22653i | ||||
\(963\) | 3.70820 | − | 11.4127i | 0.119495 | − | 0.367768i | ||||
\(964\) | −8.09017 | + | 5.87785i | −0.260567 | + | 0.189313i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −3.70820 | − | 11.4127i | −0.119310 | − | 0.367197i | ||||
\(967\) | −14.0000 | −0.450210 | −0.225105 | − | 0.974335i | \(-0.572272\pi\) | ||||
−0.225105 | + | 0.974335i | \(0.572272\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 24.0000 | 0.770991 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 0 | 0 | 0.587785 | − | 0.809017i | \(-0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(972\) | −0.809017 | + | 0.587785i | −0.0259492 | + | 0.0188532i | ||||
\(973\) | −2.47214 | + | 7.60845i | −0.0792530 | + | 0.243916i | ||||
\(974\) | 6.18034 | − | 19.0211i | 0.198031 | − | 0.609476i | ||||
\(975\) | 16.1803 | − | 11.7557i | 0.518186 | − | 0.376484i | ||||
\(976\) | 6.47214 | + | 4.70228i | 0.207168 | + | 0.150516i | ||||
\(977\) | 16.6869 | + | 51.3571i | 0.533862 | + | 1.64306i | 0.746096 | + | 0.665839i | \(0.231926\pi\) |
−0.212234 | + | 0.977219i | \(0.568074\pi\) | |||||||
\(978\) | −4.00000 | −0.127906 | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 1.23607 | + | 3.80423i | 0.0394646 | + | 0.121460i | ||||
\(982\) | 9.70820 | + | 7.05342i | 0.309801 | + | 0.225084i | ||||
\(983\) | −24.2705 | + | 17.6336i | −0.774109 | + | 0.562423i | −0.903205 | − | 0.429209i | \(-0.858792\pi\) |
0.129096 | + | 0.991632i | \(0.458792\pi\) | |||||||
\(984\) | −1.85410 | + | 5.70634i | −0.0591066 | + | 0.181911i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 29.1246 | − | 21.1603i | 0.927517 | − | 0.673880i | ||||
\(987\) | −9.70820 | − | 7.05342i | −0.309016 | − | 0.224513i | ||||
\(988\) | 4.94427 | + | 15.2169i | 0.157298 | + | 0.484114i | ||||
\(989\) | −48.0000 | −1.52631 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 56.0000 | 1.77890 | 0.889449 | − | 0.457034i | \(-0.151088\pi\) | ||||
0.889449 | + | 0.457034i | \(0.151088\pi\) | |||||||
\(992\) | 2.47214 | + | 7.60845i | 0.0784904 | + | 0.241569i | ||||
\(993\) | 3.23607 | + | 2.35114i | 0.102694 | + | 0.0746112i | ||||
\(994\) | 9.70820 | − | 7.05342i | 0.307926 | − | 0.223721i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 3.70820 | − | 11.4127i | 0.117499 | − | 0.361625i | ||||
\(997\) | 35.5967 | − | 25.8626i | 1.12736 | − | 0.819075i | 0.142052 | − | 0.989859i | \(-0.454630\pi\) |
0.985308 | + | 0.170784i | \(0.0546300\pi\) | |||||||
\(998\) | 3.23607 | + | 2.35114i | 0.102436 | + | 0.0744241i | ||||
\(999\) | −3.09017 | − | 9.51057i | −0.0977687 | − | 0.300901i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))