Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [726,2,Mod(487,726)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(726, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("726.487");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 726 = 2 \cdot 3 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 726.e (of order \(5\), degree \(4\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.79713918674\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{10})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 66) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 493.1 | ||
Root | \(-0.309017 - 0.951057i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 726.493 |
Dual form | 726.2.e.o.511.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/726\mathbb{Z}\right)^\times\).
\(n\) | \(485\) | \(607\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.309017 | + | 0.951057i | −0.218508 | + | 0.672499i | ||||
\(3\) | 0.809017 | − | 0.587785i | 0.467086 | − | 0.339358i | ||||
\(4\) | −0.809017 | − | 0.587785i | −0.404508 | − | 0.293893i | ||||
\(5\) | 0.618034 | + | 1.90211i | 0.276393 | + | 0.850651i | 0.988847 | + | 0.148932i | \(0.0475836\pi\) |
−0.712454 | + | 0.701719i | \(0.752416\pi\) | |||||||
\(6\) | 0.309017 | + | 0.951057i | 0.126156 | + | 0.388267i | ||||
\(7\) | −3.23607 | − | 2.35114i | −1.22312 | − | 0.888648i | −0.226764 | − | 0.973950i | \(-0.572814\pi\) |
−0.996355 | + | 0.0853021i | \(0.972814\pi\) | |||||||
\(8\) | 0.809017 | − | 0.587785i | 0.286031 | − | 0.207813i | ||||
\(9\) | 0.309017 | − | 0.951057i | 0.103006 | − | 0.317019i | ||||
\(10\) | −2.00000 | −0.632456 | ||||||||
\(11\) | 0 | 0 | ||||||||
\(12\) | −1.00000 | −0.288675 | ||||||||
\(13\) | 1.85410 | − | 5.70634i | 0.514235 | − | 1.58265i | −0.270434 | − | 0.962739i | \(-0.587167\pi\) |
0.784669 | − | 0.619915i | \(-0.212833\pi\) | |||||||
\(14\) | 3.23607 | − | 2.35114i | 0.864876 | − | 0.628369i | ||||
\(15\) | 1.61803 | + | 1.17557i | 0.417775 | + | 0.303531i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | −0.618034 | − | 1.90211i | −0.149895 | − | 0.461330i | 0.847713 | − | 0.530456i | \(-0.177979\pi\) |
−0.997608 | + | 0.0691254i | \(0.977979\pi\) | |||||||
\(18\) | 0.809017 | + | 0.587785i | 0.190687 | + | 0.138542i | ||||
\(19\) | 3.23607 | − | 2.35114i | 0.742405 | − | 0.539389i | −0.151058 | − | 0.988525i | \(-0.548268\pi\) |
0.893463 | + | 0.449136i | \(0.148268\pi\) | |||||||
\(20\) | 0.618034 | − | 1.90211i | 0.138197 | − | 0.425325i | ||||
\(21\) | −4.00000 | −0.872872 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 4.00000 | 0.834058 | 0.417029 | − | 0.908893i | \(-0.363071\pi\) | ||||
0.417029 | + | 0.908893i | \(0.363071\pi\) | |||||||
\(24\) | 0.309017 | − | 0.951057i | 0.0630778 | − | 0.194134i | ||||
\(25\) | 0.809017 | − | 0.587785i | 0.161803 | − | 0.117557i | ||||
\(26\) | 4.85410 | + | 3.52671i | 0.951968 | + | 0.691645i | ||||
\(27\) | −0.309017 | − | 0.951057i | −0.0594703 | − | 0.183031i | ||||
\(28\) | 1.23607 | + | 3.80423i | 0.233595 | + | 0.718931i | ||||
\(29\) | 4.85410 | + | 3.52671i | 0.901384 | + | 0.654894i | 0.938821 | − | 0.344405i | \(-0.111919\pi\) |
−0.0374370 | + | 0.999299i | \(0.511919\pi\) | |||||||
\(30\) | −1.61803 | + | 1.17557i | −0.295411 | + | 0.214629i | ||||
\(31\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(32\) | −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 | ||||
\(37\) | −4.85410 | − | 3.52671i | −0.798009 | − | 0.579788i | 0.112320 | − | 0.993672i | \(-0.464172\pi\) |
−0.910330 | + | 0.413884i | \(0.864172\pi\) | |||||||
\(38\) | 1.23607 | + | 3.80423i | 0.200517 | + | 0.617127i | ||||
\(39\) | −1.85410 | − | 5.70634i | −0.296894 | − | 0.913746i | ||||
\(40\) | 1.61803 | + | 1.17557i | 0.255834 | + | 0.185874i | ||||
\(41\) | −4.85410 | + | 3.52671i | −0.758083 | + | 0.550780i | −0.898322 | − | 0.439338i | \(-0.855213\pi\) |
0.140238 | + | 0.990118i | \(0.455213\pi\) | |||||||
\(42\) | 1.23607 | − | 3.80423i | 0.190729 | − | 0.587005i | ||||
\(43\) | −4.00000 | −0.609994 | −0.304997 | − | 0.952353i | \(-0.598656\pi\) | ||||
−0.304997 | + | 0.952353i | \(0.598656\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.00000 | 0.298142 | ||||||||
\(46\) | −1.23607 | + | 3.80423i | −0.182248 | + | 0.560903i | ||||
\(47\) | 9.70820 | − | 7.05342i | 1.41609 | − | 1.02885i | 0.423685 | − | 0.905810i | \(-0.360736\pi\) |
0.992402 | − | 0.123038i | \(-0.0392637\pi\) | |||||||
\(48\) | 0.809017 | + | 0.587785i | 0.116772 | + | 0.0848395i | ||||
\(49\) | 2.78115 | + | 8.55951i | 0.397308 | + | 1.22279i | ||||
\(50\) | 0.309017 | + | 0.951057i | 0.0437016 | + | 0.134500i | ||||
\(51\) | −1.61803 | − | 1.17557i | −0.226570 | − | 0.164613i | ||||
\(52\) | −4.85410 | + | 3.52671i | −0.673143 | + | 0.489067i | ||||
\(53\) | 0.618034 | − | 1.90211i | 0.0848935 | − | 0.261275i | −0.899595 | − | 0.436726i | \(-0.856138\pi\) |
0.984488 | + | 0.175450i | \(0.0561381\pi\) | |||||||
\(54\) | 1.00000 | 0.136083 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −4.00000 | −0.534522 | ||||||||
\(57\) | 1.23607 | − | 3.80423i | 0.163721 | − | 0.503882i | ||||
\(58\) | −4.85410 | + | 3.52671i | −0.637375 | + | 0.463080i | ||||
\(59\) | −9.70820 | − | 7.05342i | −1.26390 | − | 0.918277i | −0.264958 | − | 0.964260i | \(-0.585358\pi\) |
−0.998942 | + | 0.0459824i | \(0.985358\pi\) | |||||||
\(60\) | −0.618034 | − | 1.90211i | −0.0797878 | − | 0.245562i | ||||
\(61\) | 4.32624 | + | 13.3148i | 0.553918 | + | 1.70478i | 0.698784 | + | 0.715333i | \(0.253725\pi\) |
−0.144866 | + | 0.989451i | \(0.546275\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −3.23607 | + | 2.35114i | −0.407706 | + | 0.296216i | ||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | 12.0000 | 1.48842 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.00000 | 0.488678 | 0.244339 | − | 0.969690i | \(-0.421429\pi\) | ||||
0.244339 | + | 0.969690i | \(0.421429\pi\) | |||||||
\(68\) | −0.618034 | + | 1.90211i | −0.0749476 | + | 0.230665i | ||||
\(69\) | 3.23607 | − | 2.35114i | 0.389577 | − | 0.283044i | ||||
\(70\) | 6.47214 | + | 4.70228i | 0.773568 | + | 0.562030i | ||||
\(71\) | −3.70820 | − | 11.4127i | −0.440083 | − | 1.35444i | −0.887787 | − | 0.460254i | \(-0.847758\pi\) |
0.447704 | − | 0.894182i | \(-0.352242\pi\) | |||||||
\(72\) | −0.309017 | − | 0.951057i | −0.0364180 | − | 0.112083i | ||||
\(73\) | −4.85410 | − | 3.52671i | −0.568130 | − | 0.412770i | 0.266296 | − | 0.963891i | \(-0.414200\pi\) |
−0.834425 | + | 0.551121i | \(0.814200\pi\) | |||||||
\(74\) | 4.85410 | − | 3.52671i | 0.564278 | − | 0.409972i | ||||
\(75\) | 0.309017 | − | 0.951057i | 0.0356822 | − | 0.109819i | ||||
\(76\) | −4.00000 | −0.458831 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 6.00000 | 0.679366 | ||||||||
\(79\) | 1.23607 | − | 3.80423i | 0.139069 | − | 0.428009i | −0.857132 | − | 0.515097i | \(-0.827756\pi\) |
0.996201 | + | 0.0870877i | \(0.0277560\pi\) | |||||||
\(80\) | −1.61803 | + | 1.17557i | −0.180902 | + | 0.131433i | ||||
\(81\) | −0.809017 | − | 0.587785i | −0.0898908 | − | 0.0653095i | ||||
\(82\) | −1.85410 | − | 5.70634i | −0.204751 | − | 0.630160i | ||||
\(83\) | −1.23607 | − | 3.80423i | −0.135676 | − | 0.417568i | 0.860018 | − | 0.510263i | \(-0.170452\pi\) |
−0.995695 | + | 0.0926948i | \(0.970452\pi\) | |||||||
\(84\) | 3.23607 | + | 2.35114i | 0.353084 | + | 0.256531i | ||||
\(85\) | 3.23607 | − | 2.35114i | 0.351001 | − | 0.255017i | ||||
\(86\) | 1.23607 | − | 3.80423i | 0.133289 | − | 0.410220i | ||||
\(87\) | 6.00000 | 0.643268 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 10.0000 | 1.06000 | 0.529999 | − | 0.847998i | \(-0.322192\pi\) | ||||
0.529999 | + | 0.847998i | \(0.322192\pi\) | |||||||
\(90\) | −0.618034 | + | 1.90211i | −0.0651465 | + | 0.200500i | ||||
\(91\) | −19.4164 | + | 14.1068i | −2.03539 | + | 1.47880i | ||||
\(92\) | −3.23607 | − | 2.35114i | −0.337383 | − | 0.245123i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 3.70820 | + | 11.4127i | 0.382472 | + | 1.17713i | ||||
\(95\) | 6.47214 | + | 4.70228i | 0.664027 | + | 0.482444i | ||||
\(96\) | −0.809017 | + | 0.587785i | −0.0825700 | + | 0.0599906i | ||||
\(97\) | −4.32624 | + | 13.3148i | −0.439263 | + | 1.35191i | 0.449392 | + | 0.893335i | \(0.351641\pi\) |
−0.888654 | + | 0.458577i | \(0.848359\pi\) | |||||||
\(98\) | −9.00000 | −0.909137 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.00000 | −0.100000 | ||||||||
\(101\) | −4.32624 | + | 13.3148i | −0.430477 | + | 1.32487i | 0.467175 | + | 0.884165i | \(0.345272\pi\) |
−0.897651 | + | 0.440706i | \(0.854728\pi\) | |||||||
\(102\) | 1.61803 | − | 1.17557i | 0.160209 | − | 0.116399i | ||||
\(103\) | 0 | 0 | 0.587785 | − | 0.809017i | \(-0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(104\) | −1.85410 | − | 5.70634i | −0.181810 | − | 0.559553i | ||||
\(105\) | −2.47214 | − | 7.60845i | −0.241256 | − | 0.742509i | ||||
\(106\) | 1.61803 | + | 1.17557i | 0.157157 | + | 0.114182i | ||||
\(107\) | 3.23607 | − | 2.35114i | 0.312842 | − | 0.227293i | −0.420273 | − | 0.907398i | \(-0.638066\pi\) |
0.733115 | + | 0.680104i | \(0.238066\pi\) | |||||||
\(108\) | −0.309017 | + | 0.951057i | −0.0297352 | + | 0.0915155i | ||||
\(109\) | 6.00000 | 0.574696 | 0.287348 | − | 0.957826i | \(-0.407226\pi\) | ||||
0.287348 | + | 0.957826i | \(0.407226\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −6.00000 | −0.569495 | ||||||||
\(112\) | 1.23607 | − | 3.80423i | 0.116797 | − | 0.359466i | ||||
\(113\) | −1.61803 | + | 1.17557i | −0.152212 | + | 0.110588i | −0.661285 | − | 0.750135i | \(-0.729988\pi\) |
0.509073 | + | 0.860724i | \(0.329988\pi\) | |||||||
\(114\) | 3.23607 | + | 2.35114i | 0.303086 | + | 0.220205i | ||||
\(115\) | 2.47214 | + | 7.60845i | 0.230528 | + | 0.709492i | ||||
\(116\) | −1.85410 | − | 5.70634i | −0.172149 | − | 0.529820i | ||||
\(117\) | −4.85410 | − | 3.52671i | −0.448762 | − | 0.326045i | ||||
\(118\) | 9.70820 | − | 7.05342i | 0.893713 | − | 0.649320i | ||||
\(119\) | −2.47214 | + | 7.60845i | −0.226620 | + | 0.697466i | ||||
\(120\) | 2.00000 | 0.182574 | ||||||||
\(121\) | 0 | 0 | ||||||||
\(122\) | −14.0000 | −1.26750 | ||||||||
\(123\) | −1.85410 | + | 5.70634i | −0.167179 | + | 0.514523i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 9.70820 | + | 7.05342i | 0.868328 | + | 0.630877i | ||||
\(126\) | −1.23607 | − | 3.80423i | −0.110118 | − | 0.338907i | ||||
\(127\) | −3.70820 | − | 11.4127i | −0.329050 | − | 1.01271i | −0.969579 | − | 0.244778i | \(-0.921285\pi\) |
0.640529 | − | 0.767934i | \(-0.278715\pi\) | |||||||
\(128\) | 0.809017 | + | 0.587785i | 0.0715077 | + | 0.0519534i | ||||
\(129\) | −3.23607 | + | 2.35114i | −0.284920 | + | 0.207006i | ||||
\(130\) | −3.70820 | + | 11.4127i | −0.325231 | + | 1.00096i | ||||
\(131\) | −4.00000 | −0.349482 | −0.174741 | − | 0.984614i | \(-0.555909\pi\) | ||||
−0.174741 | + | 0.984614i | \(0.555909\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −16.0000 | −1.38738 | ||||||||
\(134\) | −1.23607 | + | 3.80423i | −0.106780 | + | 0.328635i | ||||
\(135\) | 1.61803 | − | 1.17557i | 0.139258 | − | 0.101177i | ||||
\(136\) | −1.61803 | − | 1.17557i | −0.138745 | − | 0.100804i | ||||
\(137\) | 0.618034 | + | 1.90211i | 0.0528022 | + | 0.162508i | 0.973980 | − | 0.226633i | \(-0.0727718\pi\) |
−0.921178 | + | 0.389141i | \(0.872772\pi\) | |||||||
\(138\) | 1.23607 | + | 3.80423i | 0.105221 | + | 0.323837i | ||||
\(139\) | −3.23607 | − | 2.35114i | −0.274480 | − | 0.199421i | 0.442026 | − | 0.897002i | \(-0.354260\pi\) |
−0.716506 | + | 0.697581i | \(0.754260\pi\) | |||||||
\(140\) | −6.47214 | + | 4.70228i | −0.546995 | + | 0.397415i | ||||
\(141\) | 3.70820 | − | 11.4127i | 0.312287 | − | 0.961121i | ||||
\(142\) | 12.0000 | 1.00702 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 1.00000 | 0.0833333 | ||||||||
\(145\) | −3.70820 | + | 11.4127i | −0.307950 | + | 0.947771i | ||||
\(146\) | 4.85410 | − | 3.52671i | 0.401728 | − | 0.291873i | ||||
\(147\) | 7.28115 | + | 5.29007i | 0.600539 | + | 0.436317i | ||||
\(148\) | 1.85410 | + | 5.70634i | 0.152406 | + | 0.469058i | ||||
\(149\) | 3.09017 | + | 9.51057i | 0.253157 | + | 0.779136i | 0.994187 | + | 0.107665i | \(0.0343373\pi\) |
−0.741031 | + | 0.671471i | \(0.765663\pi\) | |||||||
\(150\) | 0.809017 | + | 0.587785i | 0.0660560 | + | 0.0479925i | ||||
\(151\) | 3.23607 | − | 2.35114i | 0.263347 | − | 0.191333i | −0.448274 | − | 0.893896i | \(-0.647961\pi\) |
0.711622 | + | 0.702563i | \(0.247961\pi\) | |||||||
\(152\) | 1.23607 | − | 3.80423i | 0.100258 | − | 0.308563i | ||||
\(153\) | −2.00000 | −0.161690 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −1.85410 | + | 5.70634i | −0.148447 | + | 0.456873i | ||||
\(157\) | 8.09017 | − | 5.87785i | 0.645666 | − | 0.469104i | −0.216126 | − | 0.976365i | \(-0.569342\pi\) |
0.861792 | + | 0.507262i | \(0.169342\pi\) | |||||||
\(158\) | 3.23607 | + | 2.35114i | 0.257448 | + | 0.187047i | ||||
\(159\) | −0.618034 | − | 1.90211i | −0.0490133 | − | 0.150847i | ||||
\(160\) | −0.618034 | − | 1.90211i | −0.0488599 | − | 0.150375i | ||||
\(161\) | −12.9443 | − | 9.40456i | −1.02015 | − | 0.741183i | ||||
\(162\) | 0.809017 | − | 0.587785i | 0.0635624 | − | 0.0461808i | ||||
\(163\) | −6.18034 | + | 19.0211i | −0.484082 | + | 1.48985i | 0.349225 | + | 0.937039i | \(0.386445\pi\) |
−0.833307 | + | 0.552811i | \(0.813555\pi\) | |||||||
\(164\) | 6.00000 | 0.468521 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.00000 | 0.310460 | ||||||||
\(167\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(168\) | −3.23607 | + | 2.35114i | −0.249668 | + | 0.181394i | ||||
\(169\) | −18.6074 | − | 13.5191i | −1.43134 | − | 1.03993i | ||||
\(170\) | 1.23607 | + | 3.80423i | 0.0948021 | + | 0.291771i | ||||
\(171\) | −1.23607 | − | 3.80423i | −0.0945245 | − | 0.290916i | ||||
\(172\) | 3.23607 | + | 2.35114i | 0.246748 | + | 0.179273i | ||||
\(173\) | −8.09017 | + | 5.87785i | −0.615084 | + | 0.446885i | −0.851201 | − | 0.524840i | \(-0.824125\pi\) |
0.236117 | + | 0.971725i | \(0.424125\pi\) | |||||||
\(174\) | −1.85410 | + | 5.70634i | −0.140559 | + | 0.432596i | ||||
\(175\) | −4.00000 | −0.302372 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −12.0000 | −0.901975 | ||||||||
\(178\) | −3.09017 | + | 9.51057i | −0.231618 | + | 0.712847i | ||||
\(179\) | −16.1803 | + | 11.7557i | −1.20938 | + | 0.878663i | −0.995174 | − | 0.0981269i | \(-0.968715\pi\) |
−0.214201 | + | 0.976790i | \(0.568715\pi\) | |||||||
\(180\) | −1.61803 | − | 1.17557i | −0.120601 | − | 0.0876219i | ||||
\(181\) | −0.618034 | − | 1.90211i | −0.0459381 | − | 0.141383i | 0.925457 | − | 0.378854i | \(-0.123682\pi\) |
−0.971395 | + | 0.237471i | \(0.923682\pi\) | |||||||
\(182\) | −7.41641 | − | 22.8254i | −0.549741 | − | 1.69193i | ||||
\(183\) | 11.3262 | + | 8.22899i | 0.837260 | + | 0.608305i | ||||
\(184\) | 3.23607 | − | 2.35114i | 0.238566 | − | 0.173328i | ||||
\(185\) | 3.70820 | − | 11.4127i | 0.272633 | − | 0.839077i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −12.0000 | −0.875190 | ||||||||
\(189\) | −1.23607 | + | 3.80423i | −0.0899107 | + | 0.276717i | ||||
\(190\) | −6.47214 | + | 4.70228i | −0.469538 | + | 0.341139i | ||||
\(191\) | 9.70820 | + | 7.05342i | 0.702461 | + | 0.510368i | 0.880733 | − | 0.473614i | \(-0.157051\pi\) |
−0.178272 | + | 0.983981i | \(0.557051\pi\) | |||||||
\(192\) | −0.309017 | − | 0.951057i | −0.0223014 | − | 0.0686366i | ||||
\(193\) | −3.09017 | − | 9.51057i | −0.222435 | − | 0.684585i | −0.998542 | − | 0.0539836i | \(-0.982808\pi\) |
0.776107 | − | 0.630602i | \(-0.217192\pi\) | |||||||
\(194\) | −11.3262 | − | 8.22899i | −0.813176 | − | 0.590807i | ||||
\(195\) | 9.70820 | − | 7.05342i | 0.695219 | − | 0.505106i | ||||
\(196\) | 2.78115 | − | 8.55951i | 0.198654 | − | 0.611393i | ||||
\(197\) | 2.00000 | 0.142494 | 0.0712470 | − | 0.997459i | \(-0.477302\pi\) | ||||
0.0712470 | + | 0.997459i | \(0.477302\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −16.0000 | −1.13421 | −0.567105 | − | 0.823646i | \(-0.691937\pi\) | ||||
−0.567105 | + | 0.823646i | \(0.691937\pi\) | |||||||
\(200\) | 0.309017 | − | 0.951057i | 0.0218508 | − | 0.0672499i | ||||
\(201\) | 3.23607 | − | 2.35114i | 0.228255 | − | 0.165837i | ||||
\(202\) | −11.3262 | − | 8.22899i | −0.796911 | − | 0.578990i | ||||
\(203\) | −7.41641 | − | 22.8254i | −0.520530 | − | 1.60203i | ||||
\(204\) | 0.618034 | + | 1.90211i | 0.0432710 | + | 0.133175i | ||||
\(205\) | −9.70820 | − | 7.05342i | −0.678050 | − | 0.492632i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 1.23607 | − | 3.80423i | 0.0859127 | − | 0.264412i | ||||
\(208\) | 6.00000 | 0.416025 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 8.00000 | 0.552052 | ||||||||
\(211\) | 1.23607 | − | 3.80423i | 0.0850944 | − | 0.261894i | −0.899451 | − | 0.437021i | \(-0.856034\pi\) |
0.984546 | + | 0.175127i | \(0.0560336\pi\) | |||||||
\(212\) | −1.61803 | + | 1.17557i | −0.111127 | + | 0.0807385i | ||||
\(213\) | −9.70820 | − | 7.05342i | −0.665195 | − | 0.483293i | ||||
\(214\) | 1.23607 | + | 3.80423i | 0.0844959 | + | 0.260052i | ||||
\(215\) | −2.47214 | − | 7.60845i | −0.168598 | − | 0.518892i | ||||
\(216\) | −0.809017 | − | 0.587785i | −0.0550466 | − | 0.0399937i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −1.85410 | + | 5.70634i | −0.125576 | + | 0.386482i | ||||
\(219\) | −6.00000 | −0.405442 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −12.0000 | −0.807207 | ||||||||
\(222\) | 1.85410 | − | 5.70634i | 0.124439 | − | 0.382984i | ||||
\(223\) | 0 | 0 | −0.587785 | − | 0.809017i | \(-0.700000\pi\) | ||||
0.587785 | + | 0.809017i | \(0.300000\pi\) | |||||||
\(224\) | 3.23607 | + | 2.35114i | 0.216219 | + | 0.157092i | ||||
\(225\) | −0.309017 | − | 0.951057i | −0.0206011 | − | 0.0634038i | ||||
\(226\) | −0.618034 | − | 1.90211i | −0.0411110 | − | 0.126527i | ||||
\(227\) | 9.70820 | + | 7.05342i | 0.644356 | + | 0.468152i | 0.861344 | − | 0.508022i | \(-0.169623\pi\) |
−0.216988 | + | 0.976174i | \(0.569623\pi\) | |||||||
\(228\) | −3.23607 | + | 2.35114i | −0.214314 | + | 0.155708i | ||||
\(229\) | 4.32624 | − | 13.3148i | 0.285886 | − | 0.879866i | −0.700246 | − | 0.713902i | \(-0.746926\pi\) |
0.986132 | − | 0.165964i | \(-0.0530737\pi\) | |||||||
\(230\) | −8.00000 | −0.527504 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 6.00000 | 0.393919 | ||||||||
\(233\) | −3.09017 | + | 9.51057i | −0.202444 | + | 0.623058i | 0.797365 | + | 0.603497i | \(0.206227\pi\) |
−0.999809 | + | 0.0195604i | \(0.993773\pi\) | |||||||
\(234\) | 4.85410 | − | 3.52671i | 0.317323 | − | 0.230548i | ||||
\(235\) | 19.4164 | + | 14.1068i | 1.26659 | + | 0.920229i | ||||
\(236\) | 3.70820 | + | 11.4127i | 0.241384 | + | 0.742902i | ||||
\(237\) | −1.23607 | − | 3.80423i | −0.0802912 | − | 0.247111i | ||||
\(238\) | −6.47214 | − | 4.70228i | −0.419526 | − | 0.304804i | ||||
\(239\) | 6.47214 | − | 4.70228i | 0.418648 | − | 0.304165i | −0.358446 | − | 0.933551i | \(-0.616693\pi\) |
0.777093 | + | 0.629385i | \(0.216693\pi\) | |||||||
\(240\) | −0.618034 | + | 1.90211i | −0.0398939 | + | 0.122781i | ||||
\(241\) | −10.0000 | −0.644157 | −0.322078 | − | 0.946713i | \(-0.604381\pi\) | ||||
−0.322078 | + | 0.946713i | \(0.604381\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | 4.32624 | − | 13.3148i | 0.276959 | − | 0.852392i | ||||
\(245\) | −14.5623 | + | 10.5801i | −0.930352 | + | 0.675940i | ||||
\(246\) | −4.85410 | − | 3.52671i | −0.309486 | − | 0.224855i | ||||
\(247\) | −7.41641 | − | 22.8254i | −0.471895 | − | 1.45234i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −3.23607 | − | 2.35114i | −0.205077 | − | 0.148998i | ||||
\(250\) | −9.70820 | + | 7.05342i | −0.614001 | + | 0.446098i | ||||
\(251\) | −1.23607 | + | 3.80423i | −0.0780199 | + | 0.240121i | −0.982458 | − | 0.186485i | \(-0.940291\pi\) |
0.904438 | + | 0.426605i | \(0.140291\pi\) | |||||||
\(252\) | 4.00000 | 0.251976 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 12.0000 | 0.752947 | ||||||||
\(255\) | 1.23607 | − | 3.80423i | 0.0774056 | − | 0.238230i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −1.61803 | − | 1.17557i | −0.100930 | − | 0.0733301i | 0.536175 | − | 0.844107i | \(-0.319869\pi\) |
−0.637106 | + | 0.770776i | \(0.719869\pi\) | |||||||
\(258\) | −1.23607 | − | 3.80423i | −0.0769542 | − | 0.236841i | ||||
\(259\) | 7.41641 | + | 22.8254i | 0.460833 | + | 1.41830i | ||||
\(260\) | −9.70820 | − | 7.05342i | −0.602077 | − | 0.437435i | ||||
\(261\) | 4.85410 | − | 3.52671i | 0.300461 | − | 0.218298i | ||||
\(262\) | 1.23607 | − | 3.80423i | 0.0763645 | − | 0.235026i | ||||
\(263\) | 24.0000 | 1.47990 | 0.739952 | − | 0.672660i | \(-0.234848\pi\) | ||||
0.739952 | + | 0.672660i | \(0.234848\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.00000 | 0.245718 | ||||||||
\(266\) | 4.94427 | − | 15.2169i | 0.303153 | − | 0.933008i | ||||
\(267\) | 8.09017 | − | 5.87785i | 0.495110 | − | 0.359719i | ||||
\(268\) | −3.23607 | − | 2.35114i | −0.197674 | − | 0.143619i | ||||
\(269\) | 8.03444 | + | 24.7275i | 0.489869 | + | 1.50766i | 0.824804 | + | 0.565419i | \(0.191286\pi\) |
−0.334935 | + | 0.942241i | \(0.608714\pi\) | |||||||
\(270\) | 0.618034 | + | 1.90211i | 0.0376124 | + | 0.115759i | ||||
\(271\) | 16.1803 | + | 11.7557i | 0.982886 | + | 0.714108i | 0.958352 | − | 0.285591i | \(-0.0921898\pi\) |
0.0245340 | + | 0.999699i | \(0.492190\pi\) | |||||||
\(272\) | 1.61803 | − | 1.17557i | 0.0981077 | − | 0.0712794i | ||||
\(273\) | −7.41641 | + | 22.8254i | −0.448861 | + | 1.38145i | ||||
\(274\) | −2.00000 | −0.120824 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −4.00000 | −0.240772 | ||||||||
\(277\) | −8.03444 | + | 24.7275i | −0.482743 | + | 1.48573i | 0.352481 | + | 0.935819i | \(0.385338\pi\) |
−0.835224 | + | 0.549911i | \(0.814662\pi\) | |||||||
\(278\) | 3.23607 | − | 2.35114i | 0.194086 | − | 0.141012i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −2.47214 | − | 7.60845i | −0.147738 | − | 0.454692i | ||||
\(281\) | 6.79837 | + | 20.9232i | 0.405557 | + | 1.24818i | 0.920429 | + | 0.390909i | \(0.127839\pi\) |
−0.514872 | + | 0.857267i | \(0.672161\pi\) | |||||||
\(282\) | 9.70820 | + | 7.05342i | 0.578115 | + | 0.420025i | ||||
\(283\) | 3.23607 | − | 2.35114i | 0.192364 | − | 0.139761i | −0.487434 | − | 0.873160i | \(-0.662067\pi\) |
0.679799 | + | 0.733399i | \(0.262067\pi\) | |||||||
\(284\) | −3.70820 | + | 11.4127i | −0.220041 | + | 0.677218i | ||||
\(285\) | 8.00000 | 0.473879 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 24.0000 | 1.41668 | ||||||||
\(288\) | −0.309017 | + | 0.951057i | −0.0182090 | + | 0.0560415i | ||||
\(289\) | 10.5172 | − | 7.64121i | 0.618660 | − | 0.449483i | ||||
\(290\) | −9.70820 | − | 7.05342i | −0.570085 | − | 0.414191i | ||||
\(291\) | 4.32624 | + | 13.3148i | 0.253609 | + | 0.780527i | ||||
\(292\) | 1.85410 | + | 5.70634i | 0.108503 | + | 0.333938i | ||||
\(293\) | 17.7984 | + | 12.9313i | 1.03979 | + | 0.755453i | 0.970245 | − | 0.242125i | \(-0.0778446\pi\) |
0.0695472 | + | 0.997579i | \(0.477845\pi\) | |||||||
\(294\) | −7.28115 | + | 5.29007i | −0.424645 | + | 0.308523i | ||||
\(295\) | 7.41641 | − | 22.8254i | 0.431800 | − | 1.32894i | ||||
\(296\) | −6.00000 | −0.348743 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −10.0000 | −0.579284 | ||||||||
\(299\) | 7.41641 | − | 22.8254i | 0.428902 | − | 1.32002i | ||||
\(300\) | −0.809017 | + | 0.587785i | −0.0467086 | + | 0.0339358i | ||||
\(301\) | 12.9443 | + | 9.40456i | 0.746095 | + | 0.542070i | ||||
\(302\) | 1.23607 | + | 3.80423i | 0.0711277 | + | 0.218909i | ||||
\(303\) | 4.32624 | + | 13.3148i | 0.248536 | + | 0.764915i | ||||
\(304\) | 3.23607 | + | 2.35114i | 0.185601 | + | 0.134847i | ||||
\(305\) | −22.6525 | + | 16.4580i | −1.29708 | + | 0.942382i | ||||
\(306\) | 0.618034 | − | 1.90211i | 0.0353307 | − | 0.108737i | ||||
\(307\) | −4.00000 | −0.228292 | −0.114146 | − | 0.993464i | \(-0.536413\pi\) | ||||
−0.114146 | + | 0.993464i | \(0.536413\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −3.23607 | + | 2.35114i | −0.183501 | + | 0.133321i | −0.675743 | − | 0.737137i | \(-0.736177\pi\) |
0.492243 | + | 0.870458i | \(0.336177\pi\) | |||||||
\(312\) | −4.85410 | − | 3.52671i | −0.274809 | − | 0.199661i | ||||
\(313\) | 8.03444 | + | 24.7275i | 0.454134 | + | 1.39768i | 0.872149 | + | 0.489240i | \(0.162726\pi\) |
−0.418016 | + | 0.908440i | \(0.637274\pi\) | |||||||
\(314\) | 3.09017 | + | 9.51057i | 0.174388 | + | 0.536712i | ||||
\(315\) | −6.47214 | − | 4.70228i | −0.364664 | − | 0.264944i | ||||
\(316\) | −3.23607 | + | 2.35114i | −0.182043 | + | 0.132262i | ||||
\(317\) | 5.56231 | − | 17.1190i | 0.312410 | − | 0.961500i | −0.664397 | − | 0.747380i | \(-0.731312\pi\) |
0.976807 | − | 0.214120i | \(-0.0686884\pi\) | |||||||
\(318\) | 2.00000 | 0.112154 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 2.00000 | 0.111803 | ||||||||
\(321\) | 1.23607 | − | 3.80423i | 0.0689906 | − | 0.212331i | ||||
\(322\) | 12.9443 | − | 9.40456i | 0.721356 | − | 0.524096i | ||||
\(323\) | −6.47214 | − | 4.70228i | −0.360119 | − | 0.261642i | ||||
\(324\) | 0.309017 | + | 0.951057i | 0.0171676 | + | 0.0528365i | ||||
\(325\) | −1.85410 | − | 5.70634i | −0.102847 | − | 0.316531i | ||||
\(326\) | −16.1803 | − | 11.7557i | −0.896146 | − | 0.651088i | ||||
\(327\) | 4.85410 | − | 3.52671i | 0.268432 | − | 0.195028i | ||||
\(328\) | −1.85410 | + | 5.70634i | −0.102376 | + | 0.315080i | ||||
\(329\) | −48.0000 | −2.64633 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 20.0000 | 1.09930 | 0.549650 | − | 0.835395i | \(-0.314761\pi\) | ||||
0.549650 | + | 0.835395i | \(0.314761\pi\) | |||||||
\(332\) | −1.23607 | + | 3.80423i | −0.0678380 | + | 0.208784i | ||||
\(333\) | −4.85410 | + | 3.52671i | −0.266003 | + | 0.193263i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 2.47214 | + | 7.60845i | 0.135067 | + | 0.415694i | ||||
\(336\) | −1.23607 | − | 3.80423i | −0.0674330 | − | 0.207538i | ||||
\(337\) | 14.5623 | + | 10.5801i | 0.793259 | + | 0.576337i | 0.908929 | − | 0.416951i | \(-0.136901\pi\) |
−0.115670 | + | 0.993288i | \(0.536901\pi\) | |||||||
\(338\) | 18.6074 | − | 13.5191i | 1.01211 | − | 0.735340i | ||||
\(339\) | −0.618034 | + | 1.90211i | −0.0335670 | + | 0.103309i | ||||
\(340\) | −4.00000 | −0.216930 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 4.00000 | 0.216295 | ||||||||
\(343\) | 2.47214 | − | 7.60845i | 0.133483 | − | 0.410818i | ||||
\(344\) | −3.23607 | + | 2.35114i | −0.174477 | + | 0.126765i | ||||
\(345\) | 6.47214 | + | 4.70228i | 0.348448 | + | 0.253162i | ||||
\(346\) | −3.09017 | − | 9.51057i | −0.166129 | − | 0.511291i | ||||
\(347\) | 1.23607 | + | 3.80423i | 0.0663556 | + | 0.204222i | 0.978737 | − | 0.205120i | \(-0.0657585\pi\) |
−0.912381 | + | 0.409342i | \(0.865758\pi\) | |||||||
\(348\) | −4.85410 | − | 3.52671i | −0.260207 | − | 0.189052i | ||||
\(349\) | −4.85410 | + | 3.52671i | −0.259834 | + | 0.188781i | −0.710074 | − | 0.704127i | \(-0.751338\pi\) |
0.450240 | + | 0.892908i | \(0.351338\pi\) | |||||||
\(350\) | 1.23607 | − | 3.80423i | 0.0660706 | − | 0.203344i | ||||
\(351\) | −6.00000 | −0.320256 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 18.0000 | 0.958043 | 0.479022 | − | 0.877803i | \(-0.340992\pi\) | ||||
0.479022 | + | 0.877803i | \(0.340992\pi\) | |||||||
\(354\) | 3.70820 | − | 11.4127i | 0.197089 | − | 0.606577i | ||||
\(355\) | 19.4164 | − | 14.1068i | 1.03052 | − | 0.748714i | ||||
\(356\) | −8.09017 | − | 5.87785i | −0.428778 | − | 0.311526i | ||||
\(357\) | 2.47214 | + | 7.60845i | 0.130839 | + | 0.402682i | ||||
\(358\) | −6.18034 | − | 19.0211i | −0.326641 | − | 1.00530i | ||||
\(359\) | 0 | 0 | 0.587785 | − | 0.809017i | \(-0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(360\) | 1.61803 | − | 1.17557i | 0.0852779 | − | 0.0619580i | ||||
\(361\) | −0.927051 | + | 2.85317i | −0.0487922 | + | 0.150167i | ||||
\(362\) | 2.00000 | 0.105118 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 24.0000 | 1.25794 | ||||||||
\(365\) | 3.70820 | − | 11.4127i | 0.194096 | − | 0.597367i | ||||
\(366\) | −11.3262 | + | 8.22899i | −0.592032 | + | 0.430136i | ||||
\(367\) | 12.9443 | + | 9.40456i | 0.675685 | + | 0.490914i | 0.871924 | − | 0.489642i | \(-0.162873\pi\) |
−0.196238 | + | 0.980556i | \(0.562873\pi\) | |||||||
\(368\) | 1.23607 | + | 3.80423i | 0.0644345 | + | 0.198309i | ||||
\(369\) | 1.85410 | + | 5.70634i | 0.0965207 | + | 0.297060i | ||||
\(370\) | 9.70820 | + | 7.05342i | 0.504705 | + | 0.366690i | ||||
\(371\) | −6.47214 | + | 4.70228i | −0.336017 | + | 0.244130i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 14.0000 | 0.724893 | 0.362446 | − | 0.932005i | \(-0.381942\pi\) | ||||
0.362446 | + | 0.932005i | \(0.381942\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 12.0000 | 0.619677 | ||||||||
\(376\) | 3.70820 | − | 11.4127i | 0.191236 | − | 0.588564i | ||||
\(377\) | 29.1246 | − | 21.1603i | 1.49999 | − | 1.08981i | ||||
\(378\) | −3.23607 | − | 2.35114i | −0.166445 | − | 0.120930i | ||||
\(379\) | −8.65248 | − | 26.6296i | −0.444448 | − | 1.36787i | −0.883088 | − | 0.469207i | \(-0.844540\pi\) |
0.438640 | − | 0.898663i | \(-0.355460\pi\) | |||||||
\(380\) | −2.47214 | − | 7.60845i | −0.126818 | − | 0.390305i | ||||
\(381\) | −9.70820 | − | 7.05342i | −0.497366 | − | 0.361358i | ||||
\(382\) | −9.70820 | + | 7.05342i | −0.496715 | + | 0.360885i | ||||
\(383\) | −1.23607 | + | 3.80423i | −0.0631601 | + | 0.194387i | −0.977657 | − | 0.210206i | \(-0.932587\pi\) |
0.914497 | + | 0.404593i | \(0.132587\pi\) | |||||||
\(384\) | 1.00000 | 0.0510310 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 10.0000 | 0.508987 | ||||||||
\(387\) | −1.23607 | + | 3.80423i | −0.0628329 | + | 0.193380i | ||||
\(388\) | 11.3262 | − | 8.22899i | 0.575003 | − | 0.417764i | ||||
\(389\) | 24.2705 | + | 17.6336i | 1.23056 | + | 0.894057i | 0.996932 | − | 0.0782684i | \(-0.0249391\pi\) |
0.233631 | + | 0.972325i | \(0.424939\pi\) | |||||||
\(390\) | 3.70820 | + | 11.4127i | 0.187772 | + | 0.577903i | ||||
\(391\) | −2.47214 | − | 7.60845i | −0.125021 | − | 0.384776i | ||||
\(392\) | 7.28115 | + | 5.29007i | 0.367754 | + | 0.267189i | ||||
\(393\) | −3.23607 | + | 2.35114i | −0.163238 | + | 0.118599i | ||||
\(394\) | −0.618034 | + | 1.90211i | −0.0311361 | + | 0.0958271i | ||||
\(395\) | 8.00000 | 0.402524 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 22.0000 | 1.10415 | 0.552074 | − | 0.833795i | \(-0.313837\pi\) | ||||
0.552074 | + | 0.833795i | \(0.313837\pi\) | |||||||
\(398\) | 4.94427 | − | 15.2169i | 0.247834 | − | 0.762754i | ||||
\(399\) | −12.9443 | + | 9.40456i | −0.648024 | + | 0.470817i | ||||
\(400\) | 0.809017 | + | 0.587785i | 0.0404508 | + | 0.0293893i | ||||
\(401\) | −11.7426 | − | 36.1401i | −0.586400 | − | 1.80475i | −0.593575 | − | 0.804779i | \(-0.702284\pi\) |
0.00717537 | − | 0.999974i | \(-0.497716\pi\) | |||||||
\(402\) | 1.23607 | + | 3.80423i | 0.0616495 | + | 0.189738i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 11.3262 | − | 8.22899i | 0.563501 | − | 0.409408i | ||||
\(405\) | 0.618034 | − | 1.90211i | 0.0307104 | − | 0.0945168i | ||||
\(406\) | 24.0000 | 1.19110 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −2.00000 | −0.0990148 | ||||||||
\(409\) | 4.32624 | − | 13.3148i | 0.213919 | − | 0.658374i | −0.785310 | − | 0.619103i | \(-0.787496\pi\) |
0.999229 | − | 0.0392712i | \(-0.0125036\pi\) | |||||||
\(410\) | 9.70820 | − | 7.05342i | 0.479454 | − | 0.348344i | ||||
\(411\) | 1.61803 | + | 1.17557i | 0.0798117 | + | 0.0579866i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 14.8328 | + | 45.6507i | 0.729875 | + | 2.24632i | ||||
\(414\) | 3.23607 | + | 2.35114i | 0.159044 | + | 0.115552i | ||||
\(415\) | 6.47214 | − | 4.70228i | 0.317705 | − | 0.230826i | ||||
\(416\) | −1.85410 | + | 5.70634i | −0.0909048 | + | 0.279776i | ||||
\(417\) | −4.00000 | −0.195881 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −12.0000 | −0.586238 | −0.293119 | − | 0.956076i | \(-0.594693\pi\) | ||||
−0.293119 | + | 0.956076i | \(0.594693\pi\) | |||||||
\(420\) | −2.47214 | + | 7.60845i | −0.120628 | + | 0.371254i | ||||
\(421\) | 8.09017 | − | 5.87785i | 0.394291 | − | 0.286469i | −0.372921 | − | 0.927863i | \(-0.621644\pi\) |
0.767211 | + | 0.641394i | \(0.221644\pi\) | |||||||
\(422\) | 3.23607 | + | 2.35114i | 0.157529 | + | 0.114452i | ||||
\(423\) | −3.70820 | − | 11.4127i | −0.180299 | − | 0.554903i | ||||
\(424\) | −0.618034 | − | 1.90211i | −0.0300144 | − | 0.0923748i | ||||
\(425\) | −1.61803 | − | 1.17557i | −0.0784862 | − | 0.0570235i | ||||
\(426\) | 9.70820 | − | 7.05342i | 0.470364 | − | 0.341739i | ||||
\(427\) | 17.3050 | − | 53.2592i | 0.837445 | − | 2.57739i | ||||
\(428\) | −4.00000 | −0.193347 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 8.00000 | 0.385794 | ||||||||
\(431\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(432\) | 0.809017 | − | 0.587785i | 0.0389238 | − | 0.0282798i | ||||
\(433\) | −1.61803 | − | 1.17557i | −0.0777578 | − | 0.0564943i | 0.548227 | − | 0.836329i | \(-0.315303\pi\) |
−0.625985 | + | 0.779835i | \(0.715303\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 3.70820 | + | 11.4127i | 0.177795 | + | 0.547196i | ||||
\(436\) | −4.85410 | − | 3.52671i | −0.232469 | − | 0.168899i | ||||
\(437\) | 12.9443 | − | 9.40456i | 0.619208 | − | 0.449881i | ||||
\(438\) | 1.85410 | − | 5.70634i | 0.0885924 | − | 0.272659i | ||||
\(439\) | −4.00000 | −0.190910 | −0.0954548 | − | 0.995434i | \(-0.530431\pi\) | ||||
−0.0954548 | + | 0.995434i | \(0.530431\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 9.00000 | 0.428571 | ||||||||
\(442\) | 3.70820 | − | 11.4127i | 0.176381 | − | 0.542846i | ||||
\(443\) | −22.6525 | + | 16.4580i | −1.07625 | + | 0.781943i | −0.977026 | − | 0.213122i | \(-0.931637\pi\) |
−0.0992261 | + | 0.995065i | \(0.531637\pi\) | |||||||
\(444\) | 4.85410 | + | 3.52671i | 0.230365 | + | 0.167370i | ||||
\(445\) | 6.18034 | + | 19.0211i | 0.292976 | + | 0.901688i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 8.09017 | + | 5.87785i | 0.382652 | + | 0.278013i | ||||
\(448\) | −3.23607 | + | 2.35114i | −0.152890 | + | 0.111081i | ||||
\(449\) | −6.79837 | + | 20.9232i | −0.320835 | + | 0.987429i | 0.652451 | + | 0.757831i | \(0.273741\pi\) |
−0.973286 | + | 0.229598i | \(0.926259\pi\) | |||||||
\(450\) | 1.00000 | 0.0471405 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 2.00000 | 0.0940721 | ||||||||
\(453\) | 1.23607 | − | 3.80423i | 0.0580755 | − | 0.178738i | ||||
\(454\) | −9.70820 | + | 7.05342i | −0.455629 | + | 0.331034i | ||||
\(455\) | −38.8328 | − | 28.2137i | −1.82051 | − | 1.32268i | ||||
\(456\) | −1.23607 | − | 3.80423i | −0.0578842 | − | 0.178149i | ||||
\(457\) | −10.5066 | − | 32.3359i | −0.491477 | − | 1.51261i | −0.822376 | − | 0.568944i | \(-0.807352\pi\) |
0.330899 | − | 0.943666i | \(-0.392648\pi\) | |||||||
\(458\) | 11.3262 | + | 8.22899i | 0.529240 | + | 0.384516i | ||||
\(459\) | −1.61803 | + | 1.17557i | −0.0755234 | + | 0.0548709i | ||||
\(460\) | 2.47214 | − | 7.60845i | 0.115264 | − | 0.354746i | ||||
\(461\) | −14.0000 | −0.652045 | −0.326023 | − | 0.945362i | \(-0.605709\pi\) | ||||
−0.326023 | + | 0.945362i | \(0.605709\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −24.0000 | −1.11537 | −0.557687 | − | 0.830051i | \(-0.688311\pi\) | ||||
−0.557687 | + | 0.830051i | \(0.688311\pi\) | |||||||
\(464\) | −1.85410 | + | 5.70634i | −0.0860745 | + | 0.264910i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −8.09017 | − | 5.87785i | −0.374770 | − | 0.272286i | ||||
\(467\) | 3.70820 | + | 11.4127i | 0.171595 | + | 0.528116i | 0.999462 | − | 0.0328096i | \(-0.0104455\pi\) |
−0.827866 | + | 0.560925i | \(0.810445\pi\) | |||||||
\(468\) | 1.85410 | + | 5.70634i | 0.0857059 | + | 0.263776i | ||||
\(469\) | −12.9443 | − | 9.40456i | −0.597711 | − | 0.434262i | ||||
\(470\) | −19.4164 | + | 14.1068i | −0.895612 | + | 0.650700i | ||||
\(471\) | 3.09017 | − | 9.51057i | 0.142388 | − | 0.438224i | ||||
\(472\) | −12.0000 | −0.552345 | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 4.00000 | 0.183726 | ||||||||
\(475\) | 1.23607 | − | 3.80423i | 0.0567147 | − | 0.174550i | ||||
\(476\) | 6.47214 | − | 4.70228i | 0.296650 | − | 0.215529i | ||||
\(477\) | −1.61803 | − | 1.17557i | −0.0740847 | − | 0.0538257i | ||||
\(478\) | 2.47214 | + | 7.60845i | 0.113073 | + | 0.348003i | ||||
\(479\) | 0 | 0 | 0.951057 | − | 0.309017i | \(-0.100000\pi\) | ||||
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(480\) | −1.61803 | − | 1.17557i | −0.0738528 | − | 0.0536572i | ||||
\(481\) | −29.1246 | + | 21.1603i | −1.32797 | + | 0.964825i | ||||
\(482\) | 3.09017 | − | 9.51057i | 0.140753 | − | 0.433194i | ||||
\(483\) | −16.0000 | −0.728025 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −28.0000 | −1.27141 | ||||||||
\(486\) | 0.309017 | − | 0.951057i | 0.0140173 | − | 0.0431408i | ||||
\(487\) | 12.9443 | − | 9.40456i | 0.586561 | − | 0.426161i | −0.254523 | − | 0.967067i | \(-0.581918\pi\) |
0.841083 | + | 0.540905i | \(0.181918\pi\) | |||||||
\(488\) | 11.3262 | + | 8.22899i | 0.512715 | + | 0.372509i | ||||
\(489\) | 6.18034 | + | 19.0211i | 0.279485 | + | 0.860165i | ||||
\(490\) | −5.56231 | − | 17.1190i | −0.251279 | − | 0.773358i | ||||
\(491\) | −22.6525 | − | 16.4580i | −1.02229 | − | 0.742739i | −0.0555405 | − | 0.998456i | \(-0.517688\pi\) |
−0.966751 | + | 0.255718i | \(0.917688\pi\) | |||||||
\(492\) | 4.85410 | − | 3.52671i | 0.218840 | − | 0.158996i | ||||
\(493\) | 3.70820 | − | 11.4127i | 0.167009 | − | 0.514001i | ||||
\(494\) | 24.0000 | 1.07981 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −14.8328 | + | 45.6507i | −0.665343 | + | 2.04771i | ||||
\(498\) | 3.23607 | − | 2.35114i | 0.145012 | − | 0.105357i | ||||
\(499\) | 3.23607 | + | 2.35114i | 0.144866 | + | 0.105252i | 0.657858 | − | 0.753142i | \(-0.271463\pi\) |
−0.512992 | + | 0.858394i | \(0.671463\pi\) | |||||||
\(500\) | −3.70820 | − | 11.4127i | −0.165836 | − | 0.510390i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −3.23607 | − | 2.35114i | −0.144433 | − | 0.104937i | ||||
\(503\) | 25.8885 | − | 18.8091i | 1.15431 | − | 0.838658i | 0.165265 | − | 0.986249i | \(-0.447152\pi\) |
0.989048 | + | 0.147592i | \(0.0471521\pi\) | |||||||
\(504\) | −1.23607 | + | 3.80423i | −0.0550588 | + | 0.169454i | ||||
\(505\) | −28.0000 | −1.24598 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −23.0000 | −1.02147 | ||||||||
\(508\) | −3.70820 | + | 11.4127i | −0.164525 | + | 0.506356i | ||||
\(509\) | 17.7984 | − | 12.9313i | 0.788899 | − | 0.573169i | −0.118737 | − | 0.992926i | \(-0.537885\pi\) |
0.907637 | + | 0.419757i | \(0.137885\pi\) | |||||||
\(510\) | 3.23607 | + | 2.35114i | 0.143295 | + | 0.104110i | ||||
\(511\) | 7.41641 | + | 22.8254i | 0.328083 | + | 1.00973i | ||||
\(512\) | −0.309017 | − | 0.951057i | −0.0136568 | − | 0.0420312i | ||||
\(513\) | −3.23607 | − | 2.35114i | −0.142876 | − | 0.103805i | ||||
\(514\) | 1.61803 | − | 1.17557i | 0.0713684 | − | 0.0518522i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 4.00000 | 0.176090 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −24.0000 | −1.05450 | ||||||||
\(519\) | −3.09017 | + | 9.51057i | −0.135643 | + | 0.417467i | ||||
\(520\) | 9.70820 | − | 7.05342i | 0.425733 | − | 0.309313i | ||||
\(521\) | −14.5623 | − | 10.5801i | −0.637986 | − | 0.463524i | 0.221172 | − | 0.975235i | \(-0.429012\pi\) |
−0.859158 | + | 0.511711i | \(0.829012\pi\) | |||||||
\(522\) | 1.85410 | + | 5.70634i | 0.0811518 | + | 0.249760i | ||||
\(523\) | −6.18034 | − | 19.0211i | −0.270247 | − | 0.831736i | −0.990438 | − | 0.137960i | \(-0.955946\pi\) |
0.720190 | − | 0.693776i | \(-0.244054\pi\) | |||||||
\(524\) | 3.23607 | + | 2.35114i | 0.141368 | + | 0.102710i | ||||
\(525\) | −3.23607 | + | 2.35114i | −0.141234 | + | 0.102612i | ||||
\(526\) | −7.41641 | + | 22.8254i | −0.323371 | + | 0.995233i | ||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −7.00000 | −0.304348 | ||||||||
\(530\) | −1.23607 | + | 3.80423i | −0.0536914 | + | 0.165245i | ||||
\(531\) | −9.70820 | + | 7.05342i | −0.421300 | + | 0.306092i | ||||
\(532\) | 12.9443 | + | 9.40456i | 0.561205 | + | 0.407740i | ||||
\(533\) | 11.1246 | + | 34.2380i | 0.481860 | + | 1.48301i | ||||
\(534\) | 3.09017 | + | 9.51057i | 0.133725 | + | 0.411562i | ||||
\(535\) | 6.47214 | + | 4.70228i | 0.279815 | + | 0.203297i | ||||
\(536\) | 3.23607 | − | 2.35114i | 0.139777 | − | 0.101554i | ||||
\(537\) | −6.18034 | + | 19.0211i | −0.266701 | + | 0.820822i | ||||
\(538\) | −26.0000 | −1.12094 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −2.00000 | −0.0860663 | ||||||||
\(541\) | 11.7426 | − | 36.1401i | 0.504856 | − | 1.55379i | −0.296157 | − | 0.955139i | \(-0.595705\pi\) |
0.801013 | − | 0.598647i | \(-0.204295\pi\) | |||||||
\(542\) | −16.1803 | + | 11.7557i | −0.695005 | + | 0.504951i | ||||
\(543\) | −1.61803 | − | 1.17557i | −0.0694365 | − | 0.0504486i | ||||
\(544\) | 0.618034 | + | 1.90211i | 0.0264980 | + | 0.0815524i | ||||
\(545\) | 3.70820 | + | 11.4127i | 0.158842 | + | 0.488865i | ||||
\(546\) | −19.4164 | − | 14.1068i | −0.830946 | − | 0.603717i | ||||
\(547\) | −22.6525 | + | 16.4580i | −0.968550 | + | 0.703693i | −0.955121 | − | 0.296217i | \(-0.904275\pi\) |
−0.0134293 | + | 0.999910i | \(0.504275\pi\) | |||||||
\(548\) | 0.618034 | − | 1.90211i | 0.0264011 | − | 0.0812542i | ||||
\(549\) | 14.0000 | 0.597505 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 24.0000 | 1.02243 | ||||||||
\(552\) | 1.23607 | − | 3.80423i | 0.0526105 | − | 0.161919i | ||||
\(553\) | −12.9443 | + | 9.40456i | −0.550446 | + | 0.399923i | ||||
\(554\) | −21.0344 | − | 15.2824i | −0.893668 | − | 0.649288i | ||||
\(555\) | −3.70820 | − | 11.4127i | −0.157404 | − | 0.484441i | ||||
\(556\) | 1.23607 | + | 3.80423i | 0.0524210 | + | 0.161335i | ||||
\(557\) | 24.2705 | + | 17.6336i | 1.02837 | + | 0.747158i | 0.967983 | − | 0.251017i | \(-0.0807650\pi\) |
0.0603918 | + | 0.998175i | \(0.480765\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −7.41641 | + | 22.8254i | −0.313681 | + | 0.965410i | ||||
\(560\) | 8.00000 | 0.338062 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −22.0000 | −0.928014 | ||||||||
\(563\) | 6.18034 | − | 19.0211i | 0.260470 | − | 0.801645i | −0.732232 | − | 0.681055i | \(-0.761521\pi\) |
0.992702 | − | 0.120590i | \(-0.0384786\pi\) | |||||||
\(564\) | −9.70820 | + | 7.05342i | −0.408789 | + | 0.297003i | ||||
\(565\) | −3.23607 | − | 2.35114i | −0.136142 | − | 0.0989132i | ||||
\(566\) | 1.23607 | + | 3.80423i | 0.0519558 | + | 0.159904i | ||||
\(567\) | 1.23607 | + | 3.80423i | 0.0519100 | + | 0.159762i | ||||
\(568\) | −9.70820 | − | 7.05342i | −0.407347 | − | 0.295955i | ||||
\(569\) | 8.09017 | − | 5.87785i | 0.339158 | − | 0.246412i | −0.405149 | − | 0.914251i | \(-0.632780\pi\) |
0.744306 | + | 0.667838i | \(0.232780\pi\) | |||||||
\(570\) | −2.47214 | + | 7.60845i | −0.103546 | + | 0.318683i | ||||
\(571\) | 20.0000 | 0.836974 | 0.418487 | − | 0.908223i | \(-0.362561\pi\) | ||||
0.418487 | + | 0.908223i | \(0.362561\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 12.0000 | 0.501307 | ||||||||
\(574\) | −7.41641 | + | 22.8254i | −0.309555 | + | 0.952712i | ||||
\(575\) | 3.23607 | − | 2.35114i | 0.134953 | − | 0.0980494i | ||||
\(576\) | −0.809017 | − | 0.587785i | −0.0337090 | − | 0.0244911i | ||||
\(577\) | −14.2148 | − | 43.7486i | −0.591769 | − | 1.82128i | −0.570193 | − | 0.821511i | \(-0.693132\pi\) |
−0.0215762 | − | 0.999767i | \(-0.506868\pi\) | |||||||
\(578\) | 4.01722 | + | 12.3637i | 0.167094 | + | 0.514264i | ||||
\(579\) | −8.09017 | − | 5.87785i | −0.336216 | − | 0.244275i | ||||
\(580\) | 9.70820 | − | 7.05342i | 0.403111 | − | 0.292877i | ||||
\(581\) | −4.94427 | + | 15.2169i | −0.205123 | + | 0.631304i | ||||
\(582\) | −14.0000 | −0.580319 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −6.00000 | −0.248282 | ||||||||
\(585\) | 3.70820 | − | 11.4127i | 0.153315 | − | 0.471856i | ||||
\(586\) | −17.7984 | + | 12.9313i | −0.735244 | + | 0.534186i | ||||
\(587\) | 29.1246 | + | 21.1603i | 1.20210 | + | 0.873378i | 0.994490 | − | 0.104834i | \(-0.0334310\pi\) |
0.207612 | + | 0.978211i | \(0.433431\pi\) | |||||||
\(588\) | −2.78115 | − | 8.55951i | −0.114693 | − | 0.352988i | ||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 19.4164 | + | 14.1068i | 0.799361 | + | 0.580770i | ||||
\(591\) | 1.61803 | − | 1.17557i | 0.0665570 | − | 0.0483565i | ||||
\(592\) | 1.85410 | − | 5.70634i | 0.0762031 | − | 0.234529i | ||||
\(593\) | 30.0000 | 1.23195 | 0.615976 | − | 0.787765i | \(-0.288762\pi\) | ||||
0.615976 | + | 0.787765i | \(0.288762\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −16.0000 | −0.655936 | ||||||||
\(596\) | 3.09017 | − | 9.51057i | 0.126578 | − | 0.389568i | ||||
\(597\) | −12.9443 | + | 9.40456i | −0.529774 | + | 0.384903i | ||||
\(598\) | 19.4164 | + | 14.1068i | 0.793996 | + | 0.576872i | ||||
\(599\) | 11.1246 | + | 34.2380i | 0.454539 | + | 1.39893i | 0.871675 | + | 0.490084i | \(0.163034\pi\) |
−0.417136 | + | 0.908844i | \(0.636966\pi\) | |||||||
\(600\) | −0.309017 | − | 0.951057i | −0.0126156 | − | 0.0388267i | ||||
\(601\) | 8.09017 | + | 5.87785i | 0.330005 | + | 0.239763i | 0.740433 | − | 0.672130i | \(-0.234621\pi\) |
−0.410428 | + | 0.911893i | \(0.634621\pi\) | |||||||
\(602\) | −12.9443 | + | 9.40456i | −0.527569 | + | 0.383301i | ||||
\(603\) | 1.23607 | − | 3.80423i | 0.0503366 | − | 0.154920i | ||||
\(604\) | −4.00000 | −0.162758 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −14.0000 | −0.568711 | ||||||||
\(607\) | −8.65248 | + | 26.6296i | −0.351193 | + | 1.08086i | 0.606991 | + | 0.794709i | \(0.292376\pi\) |
−0.958184 | + | 0.286153i | \(0.907624\pi\) | |||||||
\(608\) | −3.23607 | + | 2.35114i | −0.131240 | + | 0.0953514i | ||||
\(609\) | −19.4164 | − | 14.1068i | −0.786793 | − | 0.571638i | ||||
\(610\) | −8.65248 | − | 26.6296i | −0.350329 | − | 1.07820i | ||||
\(611\) | −22.2492 | − | 68.4761i | −0.900107 | − | 2.77025i | ||||
\(612\) | 1.61803 | + | 1.17557i | 0.0654051 | + | 0.0475196i | ||||
\(613\) | −4.85410 | + | 3.52671i | −0.196055 | + | 0.142443i | −0.681482 | − | 0.731835i | \(-0.738664\pi\) |
0.485427 | + | 0.874277i | \(0.338664\pi\) | |||||||
\(614\) | 1.23607 | − | 3.80423i | 0.0498836 | − | 0.153526i | ||||
\(615\) | −12.0000 | −0.483887 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −22.0000 | −0.885687 | −0.442843 | − | 0.896599i | \(-0.646030\pi\) | ||||
−0.442843 | + | 0.896599i | \(0.646030\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 3.23607 | − | 2.35114i | 0.130069 | − | 0.0945003i | −0.520849 | − | 0.853649i | \(-0.674384\pi\) |
0.650917 | + | 0.759149i | \(0.274384\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −1.23607 | − | 3.80423i | −0.0496017 | − | 0.152658i | ||||
\(622\) | −1.23607 | − | 3.80423i | −0.0495618 | − | 0.152536i | ||||
\(623\) | −32.3607 | − | 23.5114i | −1.29650 | − | 0.941965i | ||||
\(624\) | 4.85410 | − | 3.52671i | 0.194320 | − | 0.141181i | ||||
\(625\) | −5.87132 | + | 18.0701i | −0.234853 | + | 0.722803i | ||||
\(626\) | −26.0000 | −1.03917 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −10.0000 | −0.399043 | ||||||||
\(629\) | −3.70820 | + | 11.4127i | −0.147856 | + | 0.455053i | ||||
\(630\) | 6.47214 | − | 4.70228i | 0.257856 | − | 0.187343i | ||||
\(631\) | 6.47214 | + | 4.70228i | 0.257652 | + | 0.187195i | 0.709111 | − | 0.705097i | \(-0.249096\pi\) |
−0.451459 | + | 0.892292i | \(0.649096\pi\) | |||||||
\(632\) | −1.23607 | − | 3.80423i | −0.0491681 | − | 0.151324i | ||||
\(633\) | −1.23607 | − | 3.80423i | −0.0491293 | − | 0.151204i | ||||
\(634\) | 14.5623 | + | 10.5801i | 0.578343 | + | 0.420191i | ||||
\(635\) | 19.4164 | − | 14.1068i | 0.770517 | − | 0.559813i | ||||
\(636\) | −0.618034 | + | 1.90211i | −0.0245066 | + | 0.0754237i | ||||
\(637\) | 54.0000 | 2.13956 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −12.0000 | −0.474713 | ||||||||
\(640\) | −0.618034 | + | 1.90211i | −0.0244299 | + | 0.0751876i | ||||
\(641\) | −33.9787 | + | 24.6870i | −1.34208 | + | 0.975077i | −0.342714 | + | 0.939440i | \(0.611346\pi\) |
−0.999365 | + | 0.0356372i | \(0.988654\pi\) | |||||||
\(642\) | 3.23607 | + | 2.35114i | 0.127717 | + | 0.0927921i | ||||
\(643\) | −8.65248 | − | 26.6296i | −0.341220 | − | 1.05017i | −0.963576 | − | 0.267434i | \(-0.913824\pi\) |
0.622356 | − | 0.782734i | \(-0.286176\pi\) | |||||||
\(644\) | 4.94427 | + | 15.2169i | 0.194832 | + | 0.599630i | ||||
\(645\) | −6.47214 | − | 4.70228i | −0.254840 | − | 0.185152i | ||||
\(646\) | 6.47214 | − | 4.70228i | 0.254643 | − | 0.185009i | ||||
\(647\) | −8.65248 | + | 26.6296i | −0.340164 | + | 1.04692i | 0.623958 | + | 0.781458i | \(0.285524\pi\) |
−0.964122 | + | 0.265459i | \(0.914476\pi\) | |||||||
\(648\) | −1.00000 | −0.0392837 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 6.00000 | 0.235339 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 16.1803 | − | 11.7557i | 0.633671 | − | 0.460389i | ||||
\(653\) | −14.5623 | − | 10.5801i | −0.569867 | − | 0.414033i | 0.265190 | − | 0.964196i | \(-0.414565\pi\) |
−0.835057 | + | 0.550164i | \(0.814565\pi\) | |||||||
\(654\) | 1.85410 | + | 5.70634i | 0.0725011 | + | 0.223136i | ||||
\(655\) | −2.47214 | − | 7.60845i | −0.0965943 | − | 0.297287i | ||||
\(656\) | −4.85410 | − | 3.52671i | −0.189521 | − | 0.137695i | ||||
\(657\) | −4.85410 | + | 3.52671i | −0.189377 | + | 0.137590i | ||||
\(658\) | 14.8328 | − | 45.6507i | 0.578243 | − | 1.77965i | ||||
\(659\) | 36.0000 | 1.40236 | 0.701180 | − | 0.712984i | \(-0.252657\pi\) | ||||
0.701180 | + | 0.712984i | \(0.252657\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −18.0000 | −0.700119 | −0.350059 | − | 0.936727i | \(-0.613839\pi\) | ||||
−0.350059 | + | 0.936727i | \(0.613839\pi\) | |||||||
\(662\) | −6.18034 | + | 19.0211i | −0.240206 | + | 0.739277i | ||||
\(663\) | −9.70820 | + | 7.05342i | −0.377035 | + | 0.273932i | ||||
\(664\) | −3.23607 | − | 2.35114i | −0.125584 | − | 0.0912420i | ||||
\(665\) | −9.88854 | − | 30.4338i | −0.383461 | − | 1.18017i | ||||
\(666\) | −1.85410 | − | 5.70634i | −0.0718450 | − | 0.221116i | ||||
\(667\) | 19.4164 | + | 14.1068i | 0.751806 | + | 0.546219i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −8.00000 | −0.309067 | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 4.00000 | 0.154303 | ||||||||
\(673\) | −8.03444 | + | 24.7275i | −0.309705 | + | 0.953174i | 0.668174 | + | 0.744005i | \(0.267076\pi\) |
−0.977879 | + | 0.209169i | \(0.932924\pi\) | |||||||
\(674\) | −14.5623 | + | 10.5801i | −0.560919 | + | 0.407532i | ||||
\(675\) | −0.809017 | − | 0.587785i | −0.0311391 | − | 0.0226239i | ||||
\(676\) | 7.10739 | + | 21.8743i | 0.273361 | + | 0.841319i | ||||
\(677\) | −14.2148 | − | 43.7486i | −0.546318 | − | 1.68140i | −0.717834 | − | 0.696214i | \(-0.754866\pi\) |
0.171516 | − | 0.985181i | \(-0.445134\pi\) | |||||||
\(678\) | −1.61803 | − | 1.17557i | −0.0621402 | − | 0.0451475i | ||||
\(679\) | 45.3050 | − | 32.9160i | 1.73864 | − | 1.26320i | ||||
\(680\) | 1.23607 | − | 3.80423i | 0.0474010 | − | 0.145885i | ||||
\(681\) | 12.0000 | 0.459841 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 12.0000 | 0.459167 | 0.229584 | − | 0.973289i | \(-0.426264\pi\) | ||||
0.229584 | + | 0.973289i | \(0.426264\pi\) | |||||||
\(684\) | −1.23607 | + | 3.80423i | −0.0472622 | + | 0.145458i | ||||
\(685\) | −3.23607 | + | 2.35114i | −0.123644 | + | 0.0898325i | ||||
\(686\) | 6.47214 | + | 4.70228i | 0.247107 | + | 0.179534i | ||||
\(687\) | −4.32624 | − | 13.3148i | −0.165056 | − | 0.507991i | ||||
\(688\) | −1.23607 | − | 3.80423i | −0.0471246 | − | 0.145035i | ||||
\(689\) | −9.70820 | − | 7.05342i | −0.369853 | − | 0.268714i | ||||
\(690\) | −6.47214 | + | 4.70228i | −0.246390 | + | 0.179013i | ||||
\(691\) | −3.70820 | + | 11.4127i | −0.141067 | + | 0.434159i | −0.996484 | − | 0.0837803i | \(-0.973301\pi\) |
0.855418 | + | 0.517939i | \(0.173301\pi\) | |||||||
\(692\) | 10.0000 | 0.380143 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −4.00000 | −0.151838 | ||||||||
\(695\) | 2.47214 | − | 7.60845i | 0.0937735 | − | 0.288605i | ||||
\(696\) | 4.85410 | − | 3.52671i | 0.183994 | − | 0.133680i | ||||
\(697\) | 9.70820 | + | 7.05342i | 0.367724 | + | 0.267167i | ||||
\(698\) | −1.85410 | − | 5.70634i | −0.0701788 | − | 0.215988i | ||||
\(699\) | 3.09017 | + | 9.51057i | 0.116881 | + | 0.359723i | ||||
\(700\) | 3.23607 | + | 2.35114i | 0.122312 | + | 0.0888648i | ||||
\(701\) | 24.2705 | − | 17.6336i | 0.916685 | − | 0.666010i | −0.0260120 | − | 0.999662i | \(-0.508281\pi\) |
0.942697 | + | 0.333651i | \(0.108281\pi\) | |||||||
\(702\) | 1.85410 | − | 5.70634i | 0.0699786 | − | 0.215372i | ||||
\(703\) | −24.0000 | −0.905177 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 24.0000 | 0.903892 | ||||||||
\(706\) | −5.56231 | + | 17.1190i | −0.209340 | + | 0.644283i | ||||
\(707\) | 45.3050 | − | 32.9160i | 1.70387 | − | 1.23793i | ||||
\(708\) | 9.70820 | + | 7.05342i | 0.364857 | + | 0.265084i | ||||
\(709\) | −5.56231 | − | 17.1190i | −0.208897 | − | 0.642918i | −0.999531 | − | 0.0306292i | \(-0.990249\pi\) |
0.790634 | − | 0.612289i | \(-0.209751\pi\) | |||||||
\(710\) | 7.41641 | + | 22.8254i | 0.278333 | + | 0.856620i | ||||
\(711\) | −3.23607 | − | 2.35114i | −0.121362 | − | 0.0881747i | ||||
\(712\) | 8.09017 | − | 5.87785i | 0.303192 | − | 0.220282i | ||||
\(713\) | 0 | 0 | ||||||||
\(714\) | −8.00000 | −0.299392 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 20.0000 | 0.747435 | ||||||||
\(717\) | 2.47214 | − | 7.60845i | 0.0923236 | − | 0.284143i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −9.70820 | − | 7.05342i | −0.362055 | − | 0.263048i | 0.391854 | − | 0.920028i | \(-0.371834\pi\) |
−0.753909 | + | 0.656979i | \(0.771834\pi\) | |||||||
\(720\) | 0.618034 | + | 1.90211i | 0.0230328 | + | 0.0708876i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −2.42705 | − | 1.76336i | −0.0903255 | − | 0.0656253i | ||||
\(723\) | −8.09017 | + | 5.87785i | −0.300877 | + | 0.218600i | ||||
\(724\) | −0.618034 | + | 1.90211i | −0.0229691 | + | 0.0706915i | ||||
\(725\) | 6.00000 | 0.222834 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(728\) | −7.41641 | + | 22.8254i | −0.274870 | + | 0.845964i | ||||
\(729\) | −0.809017 | + | 0.587785i | −0.0299636 | + | 0.0217698i | ||||
\(730\) | 9.70820 | + | 7.05342i | 0.359317 | + | 0.261059i | ||||
\(731\) | 2.47214 | + | 7.60845i | 0.0914353 | + | 0.281409i | ||||
\(732\) | −4.32624 | − | 13.3148i | −0.159902 | − | 0.492129i | ||||
\(733\) | −17.7984 | − | 12.9313i | −0.657398 | − | 0.477628i | 0.208385 | − | 0.978047i | \(-0.433179\pi\) |
−0.865783 | + | 0.500419i | \(0.833179\pi\) | |||||||
\(734\) | −12.9443 | + | 9.40456i | −0.477782 | + | 0.347129i | ||||
\(735\) | −5.56231 | + | 17.1190i | −0.205169 | + | 0.631444i | ||||
\(736\) | −4.00000 | −0.147442 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −6.00000 | −0.220863 | ||||||||
\(739\) | −13.5967 | + | 41.8465i | −0.500164 | + | 1.53935i | 0.308586 | + | 0.951196i | \(0.400144\pi\) |
−0.808751 | + | 0.588152i | \(0.799856\pi\) | |||||||
\(740\) | −9.70820 | + | 7.05342i | −0.356881 | + | 0.259289i | ||||
\(741\) | −19.4164 | − | 14.1068i | −0.713280 | − | 0.518228i | ||||
\(742\) | −2.47214 | − | 7.60845i | −0.0907550 | − | 0.279315i | ||||
\(743\) | 9.88854 | + | 30.4338i | 0.362775 | + | 1.11651i | 0.951362 | + | 0.308074i | \(0.0996845\pi\) |
−0.588587 | + | 0.808434i | \(0.700316\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −16.1803 | + | 11.7557i | −0.592802 | + | 0.430696i | ||||
\(746\) | −4.32624 | + | 13.3148i | −0.158395 | + | 0.487489i | ||||
\(747\) | −4.00000 | −0.146352 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −16.0000 | −0.584627 | ||||||||
\(750\) | −3.70820 | + | 11.4127i | −0.135404 | + | 0.416732i | ||||
\(751\) | −25.8885 | + | 18.8091i | −0.944686 | + | 0.686355i | −0.949544 | − | 0.313633i | \(-0.898454\pi\) |
0.00485778 | + | 0.999988i | \(0.498454\pi\) | |||||||
\(752\) | 9.70820 | + | 7.05342i | 0.354022 | + | 0.257212i | ||||
\(753\) | 1.23607 | + | 3.80423i | 0.0450448 | + | 0.138634i | ||||
\(754\) | 11.1246 | + | 34.2380i | 0.405134 | + | 1.24688i | ||||
\(755\) | 6.47214 | + | 4.70228i | 0.235545 | + | 0.171134i | ||||
\(756\) | 3.23607 | − | 2.35114i | 0.117695 | − | 0.0855102i | ||||
\(757\) | 11.7426 | − | 36.1401i | 0.426794 | − | 1.31354i | −0.474473 | − | 0.880270i | \(-0.657361\pi\) |
0.901266 | − | 0.433266i | \(-0.142639\pi\) | |||||||
\(758\) | 28.0000 | 1.01701 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 8.00000 | 0.290191 | ||||||||
\(761\) | −12.9787 | + | 39.9444i | −0.470478 | + | 1.44798i | 0.381482 | + | 0.924376i | \(0.375414\pi\) |
−0.851960 | + | 0.523606i | \(0.824586\pi\) | |||||||
\(762\) | 9.70820 | − | 7.05342i | 0.351691 | − | 0.255519i | ||||
\(763\) | −19.4164 | − | 14.1068i | −0.702921 | − | 0.510702i | ||||
\(764\) | −3.70820 | − | 11.4127i | −0.134158 | − | 0.412896i | ||||
\(765\) | −1.23607 | − | 3.80423i | −0.0446901 | − | 0.137542i | ||||
\(766\) | −3.23607 | − | 2.35114i | −0.116924 | − | 0.0849502i | ||||
\(767\) | −58.2492 | + | 42.3205i | −2.10326 | + | 1.52811i | ||||
\(768\) | −0.309017 | + | 0.951057i | −0.0111507 | + | 0.0343183i | ||||
\(769\) | −10.0000 | −0.360609 | −0.180305 | − | 0.983611i | \(-0.557708\pi\) | ||||
−0.180305 | + | 0.983611i | \(0.557708\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −2.00000 | −0.0720282 | ||||||||
\(772\) | −3.09017 | + | 9.51057i | −0.111218 | + | 0.342293i | ||||
\(773\) | −14.5623 | + | 10.5801i | −0.523770 | + | 0.380541i | −0.818022 | − | 0.575187i | \(-0.804929\pi\) |
0.294252 | + | 0.955728i | \(0.404929\pi\) | |||||||
\(774\) | −3.23607 | − | 2.35114i | −0.116318 | − | 0.0845100i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 4.32624 | + | 13.3148i | 0.155303 | + | 0.477973i | ||||
\(777\) | 19.4164 | + | 14.1068i | 0.696560 | + | 0.506080i | ||||
\(778\) | −24.2705 | + | 17.6336i | −0.870140 | + | 0.632194i | ||||
\(779\) | −7.41641 | + | 22.8254i | −0.265720 | + | 0.817803i | ||||
\(780\) | −12.0000 | −0.429669 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 8.00000 | 0.286079 | ||||||||
\(783\) | 1.85410 | − | 5.70634i | 0.0662602 | − | 0.203928i | ||||
\(784\) | −7.28115 | + | 5.29007i | −0.260041 | + | 0.188931i | ||||
\(785\) | 16.1803 | + | 11.7557i | 0.577501 | + | 0.419579i | ||||
\(786\) | −1.23607 | − | 3.80423i | −0.0440891 | − | 0.135692i | ||||
\(787\) | 6.18034 | + | 19.0211i | 0.220305 | + | 0.678030i | 0.998734 | + | 0.0502974i | \(0.0160169\pi\) |
−0.778429 | + | 0.627733i | \(0.783983\pi\) | |||||||
\(788\) | −1.61803 | − | 1.17557i | −0.0576401 | − | 0.0418780i | ||||
\(789\) | 19.4164 | − | 14.1068i | 0.691242 | − | 0.502217i | ||||
\(790\) | −2.47214 | + | 7.60845i | −0.0879547 | + | 0.270697i | ||||
\(791\) | 8.00000 | 0.284447 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 84.0000 | 2.98293 | ||||||||
\(794\) | −6.79837 | + | 20.9232i | −0.241265 | + | 0.742538i | ||||
\(795\) | 3.23607 | − | 2.35114i | 0.114772 | − | 0.0833864i | ||||
\(796\) | 12.9443 | + | 9.40456i | 0.458798 | + | 0.333336i | ||||
\(797\) | −16.6869 | − | 51.3571i | −0.591081 | − | 1.81916i | −0.573340 | − | 0.819317i | \(-0.694353\pi\) |
−0.0177409 | − | 0.999843i | \(-0.505647\pi\) | |||||||
\(798\) | −4.94427 | − | 15.2169i | −0.175025 | − | 0.538673i | ||||
\(799\) | −19.4164 | − | 14.1068i | −0.686903 | − | 0.499064i | ||||
\(800\) | −0.809017 | + | 0.587785i | −0.0286031 | + | 0.0207813i | ||||
\(801\) | 3.09017 | − | 9.51057i | 0.109186 | − | 0.336039i | ||||
\(802\) | 38.0000 | 1.34183 | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | −4.00000 | −0.141069 | ||||||||
\(805\) | 9.88854 | − | 30.4338i | 0.348525 | − | 1.07265i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 21.0344 | + | 15.2824i | 0.740447 | + | 0.537967i | ||||
\(808\) | 4.32624 | + | 13.3148i | 0.152197 | + | 0.468413i | ||||
\(809\) | −3.09017 | − | 9.51057i | −0.108645 | − | 0.334374i | 0.881924 | − | 0.471392i | \(-0.156248\pi\) |
−0.990569 | + | 0.137018i | \(0.956248\pi\) | |||||||
\(810\) | 1.61803 | + | 1.17557i | 0.0568519 | + | 0.0413053i | ||||
\(811\) | −22.6525 | + | 16.4580i | −0.795436 | + | 0.577918i | −0.909572 | − | 0.415547i | \(-0.863590\pi\) |
0.114136 | + | 0.993465i | \(0.463590\pi\) | |||||||
\(812\) | −7.41641 | + | 22.8254i | −0.260265 | + | 0.801013i | ||||
\(813\) | 20.0000 | 0.701431 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −40.0000 | −1.40114 | ||||||||
\(816\) | 0.618034 | − | 1.90211i | 0.0216355 | − | 0.0665873i | ||||
\(817\) | −12.9443 | + | 9.40456i | −0.452863 | + | 0.329024i | ||||
\(818\) | 11.3262 | + | 8.22899i | 0.396013 | + | 0.287720i | ||||
\(819\) | 7.41641 | + | 22.8254i | 0.259150 | + | 0.797582i | ||||
\(820\) | 3.70820 | + | 11.4127i | 0.129496 | + | 0.398548i | ||||
\(821\) | −1.61803 | − | 1.17557i | −0.0564698 | − | 0.0410277i | 0.559192 | − | 0.829038i | \(-0.311111\pi\) |
−0.615662 | + | 0.788010i | \(0.711111\pi\) | |||||||
\(822\) | −1.61803 | + | 1.17557i | −0.0564354 | + | 0.0410027i | ||||
\(823\) | −12.3607 | + | 38.0423i | −0.430866 | + | 1.32607i | 0.466398 | + | 0.884575i | \(0.345552\pi\) |
−0.897264 | + | 0.441495i | \(0.854448\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −48.0000 | −1.67013 | ||||||||
\(827\) | 16.0689 | − | 49.4549i | 0.558770 | − | 1.71972i | −0.127004 | − | 0.991902i | \(-0.540536\pi\) |
0.685774 | − | 0.727815i | \(-0.259464\pi\) | |||||||
\(828\) | −3.23607 | + | 2.35114i | −0.112461 | + | 0.0817078i | ||||
\(829\) | −37.2148 | − | 27.0381i | −1.29252 | − | 0.939073i | −0.292670 | − | 0.956214i | \(-0.594544\pi\) |
−0.999853 | + | 0.0171408i | \(0.994544\pi\) | |||||||
\(830\) | 2.47214 | + | 7.60845i | 0.0858091 | + | 0.264093i | ||||
\(831\) | 8.03444 | + | 24.7275i | 0.278712 | + | 0.857786i | ||||
\(832\) | −4.85410 | − | 3.52671i | −0.168286 | − | 0.122267i | ||||
\(833\) | 14.5623 | − | 10.5801i | 0.504554 | − | 0.366580i | ||||
\(834\) | 1.23607 | − | 3.80423i | 0.0428015 | − | 0.131730i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 3.70820 | − | 11.4127i | 0.128098 | − | 0.394244i | ||||
\(839\) | −9.70820 | + | 7.05342i | −0.335164 | + | 0.243511i | −0.742619 | − | 0.669714i | \(-0.766417\pi\) |
0.407454 | + | 0.913226i | \(0.366417\pi\) | |||||||
\(840\) | −6.47214 | − | 4.70228i | −0.223310 | − | 0.162244i | ||||
\(841\) | 2.16312 | + | 6.65740i | 0.0745903 | + | 0.229565i | ||||
\(842\) | 3.09017 | + | 9.51057i | 0.106494 | + | 0.327756i | ||||
\(843\) | 17.7984 | + | 12.9313i | 0.613009 | + | 0.445377i | ||||
\(844\) | −3.23607 | + | 2.35114i | −0.111390 | + | 0.0809296i | ||||
\(845\) | 14.2148 | − | 43.7486i | 0.489003 | − | 1.50500i | ||||
\(846\) | 12.0000 | 0.412568 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 2.00000 | 0.0686803 | ||||||||
\(849\) | 1.23607 | − | 3.80423i | 0.0424217 | − | 0.130561i | ||||
\(850\) | 1.61803 | − | 1.17557i | 0.0554981 | − | 0.0403217i | ||||
\(851\) | −19.4164 | − | 14.1068i | −0.665586 | − | 0.483576i | ||||
\(852\) | 3.70820 | + | 11.4127i | 0.127041 | + | 0.390992i | ||||
\(853\) | 1.85410 | + | 5.70634i | 0.0634832 | + | 0.195381i | 0.977768 | − | 0.209692i | \(-0.0672461\pi\) |
−0.914284 | + | 0.405073i | \(0.867246\pi\) | |||||||
\(854\) | 45.3050 | + | 32.9160i | 1.55030 | + | 1.12636i | ||||
\(855\) | 6.47214 | − | 4.70228i | 0.221342 | − | 0.160815i | ||||
\(856\) | 1.23607 | − | 3.80423i | 0.0422479 | − | 0.130026i | ||||
\(857\) | −26.0000 | −0.888143 | −0.444072 | − | 0.895991i | \(-0.646466\pi\) | ||||
−0.444072 | + | 0.895991i | \(0.646466\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 4.00000 | 0.136478 | 0.0682391 | − | 0.997669i | \(-0.478262\pi\) | ||||
0.0682391 | + | 0.997669i | \(0.478262\pi\) | |||||||
\(860\) | −2.47214 | + | 7.60845i | −0.0842991 | + | 0.259446i | ||||
\(861\) | 19.4164 | − | 14.1068i | 0.661709 | − | 0.480760i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 6.18034 | + | 19.0211i | 0.210381 | + | 0.647487i | 0.999449 | + | 0.0331811i | \(0.0105638\pi\) |
−0.789068 | + | 0.614306i | \(0.789436\pi\) | |||||||
\(864\) | 0.309017 | + | 0.951057i | 0.0105130 | + | 0.0323556i | ||||
\(865\) | −16.1803 | − | 11.7557i | −0.550148 | − | 0.399706i | ||||
\(866\) | 1.61803 | − | 1.17557i | 0.0549830 | − | 0.0399475i | ||||
\(867\) | 4.01722 | − | 12.3637i | 0.136432 | − | 0.419894i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | −12.0000 | −0.406838 | ||||||||
\(871\) | 7.41641 | − | 22.8254i | 0.251295 | − | 0.773408i | ||||
\(872\) | 4.85410 | − | 3.52671i | 0.164381 | − | 0.119430i | ||||
\(873\) | 11.3262 | + | 8.22899i | 0.383335 | + | 0.278509i | ||||
\(874\) | 4.94427 | + | 15.2169i | 0.167242 | + | 0.514719i | ||||
\(875\) | −14.8328 | − | 45.6507i | −0.501441 | − | 1.54328i | ||||
\(876\) | 4.85410 | + | 3.52671i | 0.164005 | + | 0.119157i | ||||
\(877\) | 33.9787 | − | 24.6870i | 1.14738 | − | 0.833620i | 0.159249 | − | 0.987238i | \(-0.449093\pi\) |
0.988130 | + | 0.153618i | \(0.0490926\pi\) | |||||||
\(878\) | 1.23607 | − | 3.80423i | 0.0417153 | − | 0.128386i | ||||
\(879\) | 22.0000 | 0.742042 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −14.0000 | −0.471672 | −0.235836 | − | 0.971793i | \(-0.575783\pi\) | ||||
−0.235836 | + | 0.971793i | \(0.575783\pi\) | |||||||
\(882\) | −2.78115 | + | 8.55951i | −0.0936463 | + | 0.288214i | ||||
\(883\) | −3.23607 | + | 2.35114i | −0.108902 | + | 0.0791222i | −0.640904 | − | 0.767621i | \(-0.721440\pi\) |
0.532001 | + | 0.846744i | \(0.321440\pi\) | |||||||
\(884\) | 9.70820 | + | 7.05342i | 0.326522 | + | 0.237232i | ||||
\(885\) | −7.41641 | − | 22.8254i | −0.249300 | − | 0.767266i | ||||
\(886\) | −8.65248 | − | 26.6296i | −0.290686 | − | 0.894638i | ||||
\(887\) | 0 | 0 | 0.587785 | − | 0.809017i | \(-0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(888\) | −4.85410 | + | 3.52671i | −0.162893 | + | 0.118349i | ||||
\(889\) | −14.8328 | + | 45.6507i | −0.497477 | + | 1.53108i | ||||
\(890\) | −20.0000 | −0.670402 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 14.8328 | − | 45.6507i | 0.496361 | − | 1.52764i | ||||
\(894\) | −8.09017 | + | 5.87785i | −0.270576 | + | 0.196585i | ||||
\(895\) | −32.3607 | − | 23.5114i | −1.08170 | − | 0.785900i | ||||
\(896\) | −1.23607 | − | 3.80423i | −0.0412941 | − | 0.127090i | ||||
\(897\) | −7.41641 | − | 22.8254i | −0.247627 | − | 0.762116i | ||||
\(898\) | −17.7984 | − | 12.9313i | −0.593939 | − | 0.431522i | ||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −0.309017 | + | 0.951057i | −0.0103006 | + | 0.0317019i | ||||
\(901\) | −4.00000 | −0.133259 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 16.0000 | 0.532447 | ||||||||
\(904\) | −0.618034 | + | 1.90211i | −0.0205555 | + | 0.0632633i | ||||
\(905\) | 3.23607 | − | 2.35114i | 0.107571 | − | 0.0781546i | ||||
\(906\) | 3.23607 | + | 2.35114i | 0.107511 | + | 0.0781114i | ||||
\(907\) | 8.65248 | + | 26.6296i | 0.287301 | + | 0.884221i | 0.985700 | + | 0.168512i | \(0.0538962\pi\) |
−0.698399 | + | 0.715709i | \(0.746104\pi\) | |||||||
\(908\) | −3.70820 | − | 11.4127i | −0.123061 | − | 0.378743i | ||||
\(909\) | 11.3262 | + | 8.22899i | 0.375668 | + | 0.272938i | ||||
\(910\) | 38.8328 | − | 28.2137i | 1.28730 | − | 0.935275i | ||||
\(911\) | 3.70820 | − | 11.4127i | 0.122858 | − | 0.378119i | −0.870647 | − | 0.491909i | \(-0.836299\pi\) |
0.993505 | + | 0.113790i | \(0.0362992\pi\) | |||||||
\(912\) | 4.00000 | 0.132453 | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 34.0000 | 1.12462 | ||||||||
\(915\) | −8.65248 | + | 26.6296i | −0.286042 | + | 0.880347i | ||||
\(916\) | −11.3262 | + | 8.22899i | −0.374229 | + | 0.271894i | ||||
\(917\) | 12.9443 | + | 9.40456i | 0.427458 | + | 0.310566i | ||||
\(918\) | −0.618034 | − | 1.90211i | −0.0203982 | − | 0.0627791i | ||||
\(919\) | 1.23607 | + | 3.80423i | 0.0407741 | + | 0.125490i | 0.969372 | − | 0.245599i | \(-0.0789846\pi\) |
−0.928597 | + | 0.371089i | \(0.878985\pi\) | |||||||
\(920\) | 6.47214 | + | 4.70228i | 0.213380 | + | 0.155030i | ||||
\(921\) | −3.23607 | + | 2.35114i | −0.106632 | + | 0.0774727i | ||||
\(922\) | 4.32624 | − | 13.3148i | 0.142477 | − | 0.438499i | ||||
\(923\) | −72.0000 | −2.36991 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −6.00000 | −0.197279 | ||||||||
\(926\) | 7.41641 | − | 22.8254i | 0.243718 | − | 0.750088i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −4.85410 | − | 3.52671i | −0.159344 | − | 0.115770i | ||||
\(929\) | 12.9787 | + | 39.9444i | 0.425818 | + | 1.31053i | 0.902209 | + | 0.431299i | \(0.141945\pi\) |
−0.476391 | + | 0.879233i | \(0.658055\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 29.1246 | + | 21.1603i | 0.954521 | + | 0.693500i | ||||
\(932\) | 8.09017 | − | 5.87785i | 0.265002 | − | 0.192535i | ||||
\(933\) | −1.23607 | + | 3.80423i | −0.0404670 | + | 0.124545i | ||||
\(934\) | −12.0000 | −0.392652 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −6.00000 | −0.196116 | ||||||||
\(937\) | 11.7426 | − | 36.1401i | 0.383616 | − | 1.18065i | −0.553864 | − | 0.832607i | \(-0.686847\pi\) |
0.937480 | − | 0.348040i | \(-0.113153\pi\) | |||||||
\(938\) | 12.9443 | − | 9.40456i | 0.422645 | − | 0.307070i | ||||
\(939\) | 21.0344 | + | 15.2824i | 0.686433 | + | 0.498723i | ||||
\(940\) | −7.41641 | − | 22.8254i | −0.241897 | − | 0.744481i | ||||
\(941\) | 12.9787 | + | 39.9444i | 0.423094 | + | 1.30215i | 0.904808 | + | 0.425821i | \(0.140015\pi\) |
−0.481714 | + | 0.876329i | \(0.659985\pi\) | |||||||
\(942\) | 8.09017 | + | 5.87785i | 0.263592 | + | 0.191511i | ||||
\(943\) | −19.4164 | + | 14.1068i | −0.632285 | + | 0.459382i | ||||
\(944\) | 3.70820 | − | 11.4127i | 0.120692 | − | 0.371451i | ||||
\(945\) | −8.00000 | −0.260240 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 12.0000 | 0.389948 | 0.194974 | − | 0.980808i | \(-0.437538\pi\) | ||||
0.194974 | + | 0.980808i | \(0.437538\pi\) | |||||||
\(948\) | −1.23607 | + | 3.80423i | −0.0401456 | + | 0.123556i | ||||
\(949\) | −29.1246 | + | 21.1603i | −0.945425 | + | 0.686891i | ||||
\(950\) | 3.23607 | + | 2.35114i | 0.104992 | + | 0.0762811i | ||||
\(951\) | −5.56231 | − | 17.1190i | −0.180370 | − | 0.555122i | ||||
\(952\) | 2.47214 | + | 7.60845i | 0.0801224 | + | 0.246591i | ||||
\(953\) | −4.85410 | − | 3.52671i | −0.157240 | − | 0.114241i | 0.506383 | − | 0.862309i | \(-0.330982\pi\) |
−0.663623 | + | 0.748067i | \(0.730982\pi\) | |||||||
\(954\) | 1.61803 | − | 1.17557i | 0.0523858 | − | 0.0380605i | ||||
\(955\) | −7.41641 | + | 22.8254i | −0.239989 | + | 0.738611i | ||||
\(956\) | −8.00000 | −0.258738 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 2.47214 | − | 7.60845i | 0.0798294 | − | 0.245690i | ||||
\(960\) | 1.61803 | − | 1.17557i | 0.0522218 | − | 0.0379414i | ||||
\(961\) | 25.0795 | + | 18.2213i | 0.809017 | + | 0.587785i | ||||
\(962\) | −11.1246 | − | 34.2380i | −0.358672 | − | 1.10388i | ||||
\(963\) | −1.23607 | − | 3.80423i | −0.0398317 | − | 0.122589i | ||||
\(964\) | 8.09017 | + | 5.87785i | 0.260567 | + | 0.189313i | ||||
\(965\) | 16.1803 | − | 11.7557i | 0.520864 | − | 0.378430i | ||||
\(966\) | 4.94427 | − | 15.2169i | 0.159079 | − | 0.489596i | ||||
\(967\) | 44.0000 | 1.41494 | 0.707472 | − | 0.706741i | \(-0.249835\pi\) | ||||
0.707472 | + | 0.706741i | \(0.249835\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −8.00000 | −0.256997 | ||||||||
\(970\) | 8.65248 | − | 26.6296i | 0.277814 | − | 0.855024i | ||||
\(971\) | −9.70820 | + | 7.05342i | −0.311551 | + | 0.226355i | −0.732562 | − | 0.680701i | \(-0.761675\pi\) |
0.421011 | + | 0.907056i | \(0.361675\pi\) | |||||||
\(972\) | 0.809017 | + | 0.587785i | 0.0259492 | + | 0.0188532i | ||||
\(973\) | 4.94427 | + | 15.2169i | 0.158506 | + | 0.487832i | ||||
\(974\) | 4.94427 | + | 15.2169i | 0.158425 | + | 0.487581i | ||||
\(975\) | −4.85410 | − | 3.52671i | −0.155456 | − | 0.112945i | ||||
\(976\) | −11.3262 | + | 8.22899i | −0.362544 | + | 0.263404i | ||||
\(977\) | 8.03444 | − | 24.7275i | 0.257045 | − | 0.791102i | −0.736375 | − | 0.676573i | \(-0.763464\pi\) |
0.993420 | − | 0.114529i | \(-0.0365358\pi\) | |||||||
\(978\) | −20.0000 | −0.639529 | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 18.0000 | 0.574989 | ||||||||
\(981\) | 1.85410 | − | 5.70634i | 0.0591969 | − | 0.182189i | ||||
\(982\) | 22.6525 | − | 16.4580i | 0.722870 | − | 0.525195i | ||||
\(983\) | −29.1246 | − | 21.1603i | −0.928931 | − | 0.674908i | 0.0168000 | − | 0.999859i | \(-0.494652\pi\) |
−0.945731 | + | 0.324951i | \(0.894652\pi\) | |||||||
\(984\) | 1.85410 | + | 5.70634i | 0.0591066 | + | 0.181911i | ||||
\(985\) | 1.23607 | + | 3.80423i | 0.0393844 | + | 0.121213i | ||||
\(986\) | 9.70820 | + | 7.05342i | 0.309172 | + | 0.224627i | ||||
\(987\) | −38.8328 | + | 28.2137i | −1.23606 | + | 0.898052i | ||||
\(988\) | −7.41641 | + | 22.8254i | −0.235947 | + | 0.726171i | ||||
\(989\) | −16.0000 | −0.508770 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 32.0000 | 1.01651 | 0.508257 | − | 0.861206i | \(-0.330290\pi\) | ||||
0.508257 | + | 0.861206i | \(0.330290\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 16.1803 | − | 11.7557i | 0.513468 | − | 0.373056i | ||||
\(994\) | −38.8328 | − | 28.2137i | −1.23170 | − | 0.894884i | ||||
\(995\) | −9.88854 | − | 30.4338i | −0.313488 | − | 0.964817i | ||||
\(996\) | 1.23607 | + | 3.80423i | 0.0391663 | + | 0.120542i | ||||
\(997\) | −11.3262 | − | 8.22899i | −0.358706 | − | 0.260615i | 0.393806 | − | 0.919193i | \(-0.371158\pi\) |
−0.752512 | + | 0.658579i | \(0.771158\pi\) | |||||||
\(998\) | −3.23607 | + | 2.35114i | −0.102436 | + | 0.0744241i | ||||
\(999\) | −1.85410 | + | 5.70634i | −0.0586612 | + | 0.180541i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))