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 | 487.1 | ||
Root | \(0.809017 + 0.587785i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 726.487 |
Dual form | 726.2.e.g.565.1 |
$q$-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 \(\left(\mathbb{Z}/726\mathbb{Z}\right)^\times\).
\(n\) | \(485\) | \(607\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.809017 | + | 0.587785i | −0.572061 | + | 0.415627i | ||||
\(3\) | −0.309017 | − | 0.951057i | −0.178411 | − | 0.549093i | ||||
\(4\) | 0.309017 | − | 0.951057i | 0.154508 | − | 0.475528i | ||||
\(5\) | −1.61803 | − | 1.17557i | −0.723607 | − | 0.525731i | 0.163928 | − | 0.986472i | \(-0.447584\pi\) |
−0.887535 | + | 0.460741i | \(0.847584\pi\) | |||||||
\(6\) | 0.809017 | + | 0.587785i | 0.330280 | + | 0.239962i | ||||
\(7\) | −1.23607 | + | 3.80423i | −0.467190 | + | 1.43786i | 0.389018 | + | 0.921230i | \(0.372814\pi\) |
−0.856208 | + | 0.516632i | \(0.827186\pi\) | |||||||
\(8\) | 0.309017 | + | 0.951057i | 0.109254 | + | 0.336249i | ||||
\(9\) | −0.809017 | + | 0.587785i | −0.269672 | + | 0.195928i | ||||
\(10\) | 2.00000 | 0.632456 | ||||||||
\(11\) | 0 | 0 | ||||||||
\(12\) | −1.00000 | −0.288675 | ||||||||
\(13\) | 4.85410 | − | 3.52671i | 1.34629 | − | 0.978134i | 0.347098 | − | 0.937829i | \(-0.387167\pi\) |
0.999187 | − | 0.0403050i | \(-0.0128330\pi\) | |||||||
\(14\) | −1.23607 | − | 3.80423i | −0.330353 | − | 1.01672i | ||||
\(15\) | −0.618034 | + | 1.90211i | −0.159576 | + | 0.491123i | ||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | −1.61803 | − | 1.17557i | −0.392431 | − | 0.285118i | 0.374020 | − | 0.927421i | \(-0.377979\pi\) |
−0.766451 | + | 0.642303i | \(0.777979\pi\) | |||||||
\(18\) | 0.309017 | − | 0.951057i | 0.0728360 | − | 0.224166i | ||||
\(19\) | 1.23607 | + | 3.80423i | 0.283573 | + | 0.872749i | 0.986823 | + | 0.161806i | \(0.0517318\pi\) |
−0.703249 | + | 0.710943i | \(0.748268\pi\) | |||||||
\(20\) | −1.61803 | + | 1.17557i | −0.361803 | + | 0.262866i | ||||
\(21\) | 4.00000 | 0.872872 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 4.00000 | 0.834058 | 0.417029 | − | 0.908893i | \(-0.363071\pi\) | ||||
0.417029 | + | 0.908893i | \(0.363071\pi\) | |||||||
\(24\) | 0.809017 | − | 0.587785i | 0.165140 | − | 0.119981i | ||||
\(25\) | −0.309017 | − | 0.951057i | −0.0618034 | − | 0.190211i | ||||
\(26\) | −1.85410 | + | 5.70634i | −0.363619 | + | 1.11911i | ||||
\(27\) | 0.809017 | + | 0.587785i | 0.155695 | + | 0.113119i | ||||
\(28\) | 3.23607 | + | 2.35114i | 0.611559 | + | 0.444324i | ||||
\(29\) | 1.85410 | − | 5.70634i | 0.344298 | − | 1.05964i | −0.617660 | − | 0.786445i | \(-0.711919\pi\) |
0.961958 | − | 0.273196i | \(-0.0880806\pi\) | |||||||
\(30\) | −0.618034 | − | 1.90211i | −0.112837 | − | 0.347277i | ||||
\(31\) | 0 | 0 | −0.587785 | − | 0.809017i | \(-0.700000\pi\) | ||||
0.587785 | + | 0.809017i | \(0.300000\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.00000 | 0.342997 | ||||||||
\(35\) | 6.47214 | − | 4.70228i | 1.09399 | − | 0.794831i | ||||
\(36\) | 0.309017 | + | 0.951057i | 0.0515028 | + | 0.158509i | ||||
\(37\) | 1.85410 | − | 5.70634i | 0.304812 | − | 0.938116i | −0.674935 | − | 0.737878i | \(-0.735828\pi\) |
0.979747 | − | 0.200239i | \(-0.0641718\pi\) | |||||||
\(38\) | −3.23607 | − | 2.35114i | −0.524960 | − | 0.381405i | ||||
\(39\) | −4.85410 | − | 3.52671i | −0.777278 | − | 0.564726i | ||||
\(40\) | 0.618034 | − | 1.90211i | 0.0977198 | − | 0.300750i | ||||
\(41\) | −1.85410 | − | 5.70634i | −0.289562 | − | 0.891180i | −0.984994 | − | 0.172588i | \(-0.944787\pi\) |
0.695432 | − | 0.718592i | \(-0.255213\pi\) | |||||||
\(42\) | −3.23607 | + | 2.35114i | −0.499336 | + | 0.362789i | ||||
\(43\) | 4.00000 | 0.609994 | 0.304997 | − | 0.952353i | \(-0.401344\pi\) | ||||
0.304997 | + | 0.952353i | \(0.401344\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.00000 | 0.298142 | ||||||||
\(46\) | −3.23607 | + | 2.35114i | −0.477132 | + | 0.346657i | ||||
\(47\) | −3.70820 | − | 11.4127i | −0.540897 | − | 1.66471i | −0.730550 | − | 0.682859i | \(-0.760736\pi\) |
0.189653 | − | 0.981851i | \(-0.439264\pi\) | |||||||
\(48\) | −0.309017 | + | 0.951057i | −0.0446028 | + | 0.137273i | ||||
\(49\) | −7.28115 | − | 5.29007i | −1.04016 | − | 0.755724i | ||||
\(50\) | 0.809017 | + | 0.587785i | 0.114412 | + | 0.0831254i | ||||
\(51\) | −0.618034 | + | 1.90211i | −0.0865421 | + | 0.266349i | ||||
\(52\) | −1.85410 | − | 5.70634i | −0.257118 | − | 0.791327i | ||||
\(53\) | −1.61803 | + | 1.17557i | −0.222254 | + | 0.161477i | −0.693341 | − | 0.720610i | \(-0.743862\pi\) |
0.471087 | + | 0.882087i | \(0.343862\pi\) | |||||||
\(54\) | −1.00000 | −0.136083 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −4.00000 | −0.534522 | ||||||||
\(57\) | 3.23607 | − | 2.35114i | 0.428628 | − | 0.311416i | ||||
\(58\) | 1.85410 | + | 5.70634i | 0.243456 | + | 0.749279i | ||||
\(59\) | 3.70820 | − | 11.4127i | 0.482767 | − | 1.48580i | −0.352422 | − | 0.935841i | \(-0.614642\pi\) |
0.835189 | − | 0.549963i | \(-0.185358\pi\) | |||||||
\(60\) | 1.61803 | + | 1.17557i | 0.208887 | + | 0.151765i | ||||
\(61\) | 11.3262 | + | 8.22899i | 1.45018 | + | 1.05361i | 0.985790 | + | 0.167982i | \(0.0537250\pi\) |
0.464386 | + | 0.885633i | \(0.346275\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −1.23607 | − | 3.80423i | −0.155730 | − | 0.479287i | ||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | −12.0000 | −1.48842 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.00000 | 0.488678 | 0.244339 | − | 0.969690i | \(-0.421429\pi\) | ||||
0.244339 | + | 0.969690i | \(0.421429\pi\) | |||||||
\(68\) | −1.61803 | + | 1.17557i | −0.196215 | + | 0.142559i | ||||
\(69\) | −1.23607 | − | 3.80423i | −0.148805 | − | 0.457975i | ||||
\(70\) | −2.47214 | + | 7.60845i | −0.295477 | + | 0.909384i | ||||
\(71\) | 9.70820 | + | 7.05342i | 1.15215 | + | 0.837087i | 0.988766 | − | 0.149475i | \(-0.0477583\pi\) |
0.163386 | + | 0.986562i | \(0.447758\pi\) | |||||||
\(72\) | −0.809017 | − | 0.587785i | −0.0953436 | − | 0.0692712i | ||||
\(73\) | −1.85410 | + | 5.70634i | −0.217006 | + | 0.667876i | 0.781999 | + | 0.623280i | \(0.214200\pi\) |
−0.999005 | + | 0.0445966i | \(0.985800\pi\) | |||||||
\(74\) | 1.85410 | + | 5.70634i | 0.215535 | + | 0.663348i | ||||
\(75\) | −0.809017 | + | 0.587785i | −0.0934172 | + | 0.0678716i | ||||
\(76\) | 4.00000 | 0.458831 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 6.00000 | 0.679366 | ||||||||
\(79\) | 3.23607 | − | 2.35114i | 0.364086 | − | 0.264524i | −0.390668 | − | 0.920532i | \(-0.627756\pi\) |
0.754754 | + | 0.656007i | \(0.227756\pi\) | |||||||
\(80\) | 0.618034 | + | 1.90211i | 0.0690983 | + | 0.212663i | ||||
\(81\) | 0.309017 | − | 0.951057i | 0.0343352 | − | 0.105673i | ||||
\(82\) | 4.85410 | + | 3.52671i | 0.536046 | + | 0.389460i | ||||
\(83\) | −3.23607 | − | 2.35114i | −0.355205 | − | 0.258071i | 0.395845 | − | 0.918318i | \(-0.370452\pi\) |
−0.751049 | + | 0.660246i | \(0.770452\pi\) | |||||||
\(84\) | 1.23607 | − | 3.80423i | 0.134866 | − | 0.415075i | ||||
\(85\) | 1.23607 | + | 3.80423i | 0.134070 | + | 0.412626i | ||||
\(86\) | −3.23607 | + | 2.35114i | −0.348954 | + | 0.253530i | ||||
\(87\) | −6.00000 | −0.643268 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 10.0000 | 1.06000 | 0.529999 | − | 0.847998i | \(-0.322192\pi\) | ||||
0.529999 | + | 0.847998i | \(0.322192\pi\) | |||||||
\(90\) | −1.61803 | + | 1.17557i | −0.170556 | + | 0.123916i | ||||
\(91\) | 7.41641 | + | 22.8254i | 0.777451 | + | 2.39275i | ||||
\(92\) | 1.23607 | − | 3.80423i | 0.128869 | − | 0.396618i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 9.70820 | + | 7.05342i | 1.00132 | + | 0.727505i | ||||
\(95\) | 2.47214 | − | 7.60845i | 0.253636 | − | 0.780611i | ||||
\(96\) | −0.309017 | − | 0.951057i | −0.0315389 | − | 0.0970668i | ||||
\(97\) | 11.3262 | − | 8.22899i | 1.15001 | − | 0.835528i | 0.161524 | − | 0.986869i | \(-0.448359\pi\) |
0.988482 | + | 0.151341i | \(0.0483592\pi\) | |||||||
\(98\) | 9.00000 | 0.909137 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.00000 | −0.100000 | ||||||||
\(101\) | −11.3262 | + | 8.22899i | −1.12700 | + | 0.818815i | −0.985256 | − | 0.171087i | \(-0.945272\pi\) |
−0.141747 | + | 0.989903i | \(0.545272\pi\) | |||||||
\(102\) | −0.618034 | − | 1.90211i | −0.0611945 | − | 0.188337i | ||||
\(103\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(104\) | 4.85410 | + | 3.52671i | 0.475984 | + | 0.345823i | ||||
\(105\) | −6.47214 | − | 4.70228i | −0.631616 | − | 0.458896i | ||||
\(106\) | 0.618034 | − | 1.90211i | 0.0600288 | − | 0.184750i | ||||
\(107\) | 1.23607 | + | 3.80423i | 0.119495 | + | 0.367768i | 0.992858 | − | 0.119302i | \(-0.0380656\pi\) |
−0.873363 | + | 0.487070i | \(0.838066\pi\) | |||||||
\(108\) | 0.809017 | − | 0.587785i | 0.0778477 | − | 0.0565597i | ||||
\(109\) | −6.00000 | −0.574696 | −0.287348 | − | 0.957826i | \(-0.592774\pi\) | ||||
−0.287348 | + | 0.957826i | \(0.592774\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −6.00000 | −0.569495 | ||||||||
\(112\) | 3.23607 | − | 2.35114i | 0.305780 | − | 0.222162i | ||||
\(113\) | 0.618034 | + | 1.90211i | 0.0581397 | + | 0.178936i | 0.975909 | − | 0.218179i | \(-0.0700116\pi\) |
−0.917769 | + | 0.397114i | \(0.870012\pi\) | |||||||
\(114\) | −1.23607 | + | 3.80423i | −0.115768 | + | 0.356298i | ||||
\(115\) | −6.47214 | − | 4.70228i | −0.603530 | − | 0.438490i | ||||
\(116\) | −4.85410 | − | 3.52671i | −0.450692 | − | 0.327447i | ||||
\(117\) | −1.85410 | + | 5.70634i | −0.171412 | + | 0.527551i | ||||
\(118\) | 3.70820 | + | 11.4127i | 0.341368 | + | 1.05062i | ||||
\(119\) | 6.47214 | − | 4.70228i | 0.593300 | − | 0.431057i | ||||
\(120\) | −2.00000 | −0.182574 | ||||||||
\(121\) | 0 | 0 | ||||||||
\(122\) | −14.0000 | −1.26750 | ||||||||
\(123\) | −4.85410 | + | 3.52671i | −0.437680 | + | 0.317993i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −3.70820 | + | 11.4127i | −0.331672 | + | 1.02078i | ||||
\(126\) | 3.23607 | + | 2.35114i | 0.288292 | + | 0.209456i | ||||
\(127\) | −9.70820 | − | 7.05342i | −0.861464 | − | 0.625890i | 0.0668190 | − | 0.997765i | \(-0.478715\pi\) |
−0.928283 | + | 0.371875i | \(0.878715\pi\) | |||||||
\(128\) | 0.309017 | − | 0.951057i | 0.0273135 | − | 0.0840623i | ||||
\(129\) | −1.23607 | − | 3.80423i | −0.108830 | − | 0.334943i | ||||
\(130\) | 9.70820 | − | 7.05342i | 0.851466 | − | 0.618626i | ||||
\(131\) | 4.00000 | 0.349482 | 0.174741 | − | 0.984614i | \(-0.444091\pi\) | ||||
0.174741 | + | 0.984614i | \(0.444091\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −16.0000 | −1.38738 | ||||||||
\(134\) | −3.23607 | + | 2.35114i | −0.279554 | + | 0.203108i | ||||
\(135\) | −0.618034 | − | 1.90211i | −0.0531919 | − | 0.163708i | ||||
\(136\) | 0.618034 | − | 1.90211i | 0.0529960 | − | 0.163105i | ||||
\(137\) | −1.61803 | − | 1.17557i | −0.138238 | − | 0.100436i | 0.516517 | − | 0.856277i | \(-0.327228\pi\) |
−0.654755 | + | 0.755841i | \(0.727228\pi\) | |||||||
\(138\) | 3.23607 | + | 2.35114i | 0.275472 | + | 0.200142i | ||||
\(139\) | −1.23607 | + | 3.80423i | −0.104842 | + | 0.322670i | −0.989693 | − | 0.143203i | \(-0.954260\pi\) |
0.884851 | + | 0.465873i | \(0.154260\pi\) | |||||||
\(140\) | −2.47214 | − | 7.60845i | −0.208934 | − | 0.643032i | ||||
\(141\) | −9.70820 | + | 7.05342i | −0.817578 | + | 0.594005i | ||||
\(142\) | −12.0000 | −1.00702 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 1.00000 | 0.0833333 | ||||||||
\(145\) | −9.70820 | + | 7.05342i | −0.806222 | + | 0.585755i | ||||
\(146\) | −1.85410 | − | 5.70634i | −0.153447 | − | 0.472260i | ||||
\(147\) | −2.78115 | + | 8.55951i | −0.229386 | + | 0.705976i | ||||
\(148\) | −4.85410 | − | 3.52671i | −0.399005 | − | 0.289894i | ||||
\(149\) | 8.09017 | + | 5.87785i | 0.662773 | + | 0.481532i | 0.867598 | − | 0.497266i | \(-0.165663\pi\) |
−0.204826 | + | 0.978798i | \(0.565663\pi\) | |||||||
\(150\) | 0.309017 | − | 0.951057i | 0.0252311 | − | 0.0776534i | ||||
\(151\) | 1.23607 | + | 3.80423i | 0.100590 | + | 0.309584i | 0.988670 | − | 0.150105i | \(-0.0479611\pi\) |
−0.888080 | + | 0.459688i | \(0.847961\pi\) | |||||||
\(152\) | −3.23607 | + | 2.35114i | −0.262480 | + | 0.190703i | ||||
\(153\) | 2.00000 | 0.161690 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −4.85410 | + | 3.52671i | −0.388639 | + | 0.282363i | ||||
\(157\) | −3.09017 | − | 9.51057i | −0.246622 | − | 0.759026i | −0.995365 | − | 0.0961653i | \(-0.969342\pi\) |
0.748743 | − | 0.662860i | \(-0.230658\pi\) | |||||||
\(158\) | −1.23607 | + | 3.80423i | −0.0983363 | + | 0.302648i | ||||
\(159\) | 1.61803 | + | 1.17557i | 0.128318 | + | 0.0932288i | ||||
\(160\) | −1.61803 | − | 1.17557i | −0.127917 | − | 0.0929370i | ||||
\(161\) | −4.94427 | + | 15.2169i | −0.389663 | + | 1.19926i | ||||
\(162\) | 0.309017 | + | 0.951057i | 0.0242787 | + | 0.0747221i | ||||
\(163\) | 16.1803 | − | 11.7557i | 1.26734 | − | 0.920778i | 0.268249 | − | 0.963350i | \(-0.413555\pi\) |
0.999093 | + | 0.0425718i | \(0.0135551\pi\) | |||||||
\(164\) | −6.00000 | −0.468521 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.00000 | 0.310460 | ||||||||
\(167\) | 0 | 0 | −0.587785 | − | 0.809017i | \(-0.700000\pi\) | ||||
0.587785 | + | 0.809017i | \(0.300000\pi\) | |||||||
\(168\) | 1.23607 | + | 3.80423i | 0.0953647 | + | 0.293502i | ||||
\(169\) | 7.10739 | − | 21.8743i | 0.546722 | − | 1.68264i | ||||
\(170\) | −3.23607 | − | 2.35114i | −0.248195 | − | 0.180324i | ||||
\(171\) | −3.23607 | − | 2.35114i | −0.247468 | − | 0.179796i | ||||
\(172\) | 1.23607 | − | 3.80423i | 0.0942493 | − | 0.290070i | ||||
\(173\) | −3.09017 | − | 9.51057i | −0.234941 | − | 0.723075i | −0.997129 | − | 0.0757190i | \(-0.975875\pi\) |
0.762188 | − | 0.647356i | \(-0.224125\pi\) | |||||||
\(174\) | 4.85410 | − | 3.52671i | 0.367989 | − | 0.267359i | ||||
\(175\) | 4.00000 | 0.302372 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −12.0000 | −0.901975 | ||||||||
\(178\) | −8.09017 | + | 5.87785i | −0.606384 | + | 0.440564i | ||||
\(179\) | 6.18034 | + | 19.0211i | 0.461940 | + | 1.42171i | 0.862790 | + | 0.505562i | \(0.168715\pi\) |
−0.400850 | + | 0.916144i | \(0.631285\pi\) | |||||||
\(180\) | 0.618034 | − | 1.90211i | 0.0460655 | − | 0.141775i | ||||
\(181\) | 1.61803 | + | 1.17557i | 0.120268 | + | 0.0873795i | 0.646293 | − | 0.763089i | \(-0.276318\pi\) |
−0.526026 | + | 0.850469i | \(0.676318\pi\) | |||||||
\(182\) | −19.4164 | − | 14.1068i | −1.43924 | − | 1.04567i | ||||
\(183\) | 4.32624 | − | 13.3148i | 0.319805 | − | 0.984258i | ||||
\(184\) | 1.23607 | + | 3.80423i | 0.0911241 | + | 0.280451i | ||||
\(185\) | −9.70820 | + | 7.05342i | −0.713761 | + | 0.518578i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −12.0000 | −0.875190 | ||||||||
\(189\) | −3.23607 | + | 2.35114i | −0.235389 | + | 0.171020i | ||||
\(190\) | 2.47214 | + | 7.60845i | 0.179348 | + | 0.551975i | ||||
\(191\) | −3.70820 | + | 11.4127i | −0.268316 | + | 0.825792i | 0.722595 | + | 0.691272i | \(0.242949\pi\) |
−0.990911 | + | 0.134520i | \(0.957051\pi\) | |||||||
\(192\) | 0.809017 | + | 0.587785i | 0.0583858 | + | 0.0424197i | ||||
\(193\) | −8.09017 | − | 5.87785i | −0.582343 | − | 0.423097i | 0.257225 | − | 0.966352i | \(-0.417192\pi\) |
−0.839568 | + | 0.543254i | \(0.817192\pi\) | |||||||
\(194\) | −4.32624 | + | 13.3148i | −0.310606 | + | 0.955946i | ||||
\(195\) | 3.70820 | + | 11.4127i | 0.265550 | + | 0.817279i | ||||
\(196\) | −7.28115 | + | 5.29007i | −0.520082 | + | 0.377862i | ||||
\(197\) | −2.00000 | −0.142494 | −0.0712470 | − | 0.997459i | \(-0.522698\pi\) | ||||
−0.0712470 | + | 0.997459i | \(0.522698\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −16.0000 | −1.13421 | −0.567105 | − | 0.823646i | \(-0.691937\pi\) | ||||
−0.567105 | + | 0.823646i | \(0.691937\pi\) | |||||||
\(200\) | 0.809017 | − | 0.587785i | 0.0572061 | − | 0.0415627i | ||||
\(201\) | −1.23607 | − | 3.80423i | −0.0871855 | − | 0.268329i | ||||
\(202\) | 4.32624 | − | 13.3148i | 0.304393 | − | 0.936825i | ||||
\(203\) | 19.4164 | + | 14.1068i | 1.36276 | + | 0.990106i | ||||
\(204\) | 1.61803 | + | 1.17557i | 0.113285 | + | 0.0823064i | ||||
\(205\) | −3.70820 | + | 11.4127i | −0.258992 | + | 0.797096i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −3.23607 | + | 2.35114i | −0.224922 | + | 0.163416i | ||||
\(208\) | −6.00000 | −0.416025 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 8.00000 | 0.552052 | ||||||||
\(211\) | 3.23607 | − | 2.35114i | 0.222780 | − | 0.161859i | −0.470797 | − | 0.882242i | \(-0.656034\pi\) |
0.693577 | + | 0.720382i | \(0.256034\pi\) | |||||||
\(212\) | 0.618034 | + | 1.90211i | 0.0424467 | + | 0.130638i | ||||
\(213\) | 3.70820 | − | 11.4127i | 0.254082 | − | 0.781984i | ||||
\(214\) | −3.23607 | − | 2.35114i | −0.221213 | − | 0.160721i | ||||
\(215\) | −6.47214 | − | 4.70228i | −0.441396 | − | 0.320693i | ||||
\(216\) | −0.309017 | + | 0.951057i | −0.0210259 | + | 0.0647112i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 4.85410 | − | 3.52671i | 0.328761 | − | 0.238859i | ||||
\(219\) | 6.00000 | 0.405442 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −12.0000 | −0.807207 | ||||||||
\(222\) | 4.85410 | − | 3.52671i | 0.325786 | − | 0.236697i | ||||
\(223\) | 0 | 0 | 0.951057 | − | 0.309017i | \(-0.100000\pi\) | ||||
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(224\) | −1.23607 | + | 3.80423i | −0.0825883 | + | 0.254181i | ||||
\(225\) | 0.809017 | + | 0.587785i | 0.0539345 | + | 0.0391857i | ||||
\(226\) | −1.61803 | − | 1.17557i | −0.107630 | − | 0.0781978i | ||||
\(227\) | 3.70820 | − | 11.4127i | 0.246122 | − | 0.757486i | −0.749328 | − | 0.662199i | \(-0.769623\pi\) |
0.995450 | − | 0.0952867i | \(-0.0303768\pi\) | |||||||
\(228\) | −1.23607 | − | 3.80423i | −0.0818606 | − | 0.251941i | ||||
\(229\) | −11.3262 | + | 8.22899i | −0.748459 | + | 0.543787i | −0.895349 | − | 0.445366i | \(-0.853074\pi\) |
0.146890 | + | 0.989153i | \(0.453074\pi\) | |||||||
\(230\) | 8.00000 | 0.527504 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 6.00000 | 0.393919 | ||||||||
\(233\) | −8.09017 | + | 5.87785i | −0.530005 | + | 0.385071i | −0.820360 | − | 0.571848i | \(-0.806227\pi\) |
0.290355 | + | 0.956919i | \(0.406227\pi\) | |||||||
\(234\) | −1.85410 | − | 5.70634i | −0.121206 | − | 0.373035i | ||||
\(235\) | −7.41641 | + | 22.8254i | −0.483793 | + | 1.48896i | ||||
\(236\) | −9.70820 | − | 7.05342i | −0.631950 | − | 0.459139i | ||||
\(237\) | −3.23607 | − | 2.35114i | −0.210205 | − | 0.152723i | ||||
\(238\) | −2.47214 | + | 7.60845i | −0.160245 | + | 0.493183i | ||||
\(239\) | 2.47214 | + | 7.60845i | 0.159909 | + | 0.492150i | 0.998625 | − | 0.0524192i | \(-0.0166932\pi\) |
−0.838716 | + | 0.544569i | \(0.816693\pi\) | |||||||
\(240\) | 1.61803 | − | 1.17557i | 0.104444 | − | 0.0758827i | ||||
\(241\) | 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 | ||||||||
\(244\) | 11.3262 | − | 8.22899i | 0.725088 | − | 0.526807i | ||||
\(245\) | 5.56231 | + | 17.1190i | 0.355363 | + | 1.09369i | ||||
\(246\) | 1.85410 | − | 5.70634i | 0.118213 | − | 0.363823i | ||||
\(247\) | 19.4164 | + | 14.1068i | 1.23544 | + | 0.897597i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −1.23607 | + | 3.80423i | −0.0783326 | + | 0.241083i | ||||
\(250\) | −3.70820 | − | 11.4127i | −0.234527 | − | 0.721801i | ||||
\(251\) | 3.23607 | − | 2.35114i | 0.204259 | − | 0.148403i | −0.480953 | − | 0.876746i | \(-0.659709\pi\) |
0.685212 | + | 0.728343i | \(0.259709\pi\) | |||||||
\(252\) | −4.00000 | −0.251976 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 12.0000 | 0.752947 | ||||||||
\(255\) | 3.23607 | − | 2.35114i | 0.202650 | − | 0.147234i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | 0.618034 | − | 1.90211i | 0.0385519 | − | 0.118651i | −0.929928 | − | 0.367740i | \(-0.880131\pi\) |
0.968480 | + | 0.249090i | \(0.0801315\pi\) | |||||||
\(258\) | 3.23607 | + | 2.35114i | 0.201469 | + | 0.146376i | ||||
\(259\) | 19.4164 | + | 14.1068i | 1.20648 | + | 0.876557i | ||||
\(260\) | −3.70820 | + | 11.4127i | −0.229973 | + | 0.707784i | ||||
\(261\) | 1.85410 | + | 5.70634i | 0.114766 | + | 0.353214i | ||||
\(262\) | −3.23607 | + | 2.35114i | −0.199925 | + | 0.145254i | ||||
\(263\) | −24.0000 | −1.47990 | −0.739952 | − | 0.672660i | \(-0.765152\pi\) | ||||
−0.739952 | + | 0.672660i | \(0.765152\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.00000 | 0.245718 | ||||||||
\(266\) | 12.9443 | − | 9.40456i | 0.793664 | − | 0.576631i | ||||
\(267\) | −3.09017 | − | 9.51057i | −0.189115 | − | 0.582037i | ||||
\(268\) | 1.23607 | − | 3.80423i | 0.0755049 | − | 0.232380i | ||||
\(269\) | −21.0344 | − | 15.2824i | −1.28249 | − | 0.931785i | −0.282867 | − | 0.959159i | \(-0.591286\pi\) |
−0.999625 | + | 0.0273737i | \(0.991286\pi\) | |||||||
\(270\) | 1.61803 | + | 1.17557i | 0.0984704 | + | 0.0715429i | ||||
\(271\) | 6.18034 | − | 19.0211i | 0.375429 | − | 1.15545i | −0.567760 | − | 0.823194i | \(-0.692190\pi\) |
0.943189 | − | 0.332257i | \(-0.107810\pi\) | |||||||
\(272\) | 0.618034 | + | 1.90211i | 0.0374738 | + | 0.115333i | ||||
\(273\) | 19.4164 | − | 14.1068i | 1.17513 | − | 0.853785i | ||||
\(274\) | 2.00000 | 0.120824 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −4.00000 | −0.240772 | ||||||||
\(277\) | −21.0344 | + | 15.2824i | −1.26384 | + | 0.918231i | −0.998939 | − | 0.0460451i | \(-0.985338\pi\) |
−0.264898 | + | 0.964277i | \(0.585338\pi\) | |||||||
\(278\) | −1.23607 | − | 3.80423i | −0.0741344 | − | 0.228162i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 6.47214 | + | 4.70228i | 0.386784 | + | 0.281015i | ||||
\(281\) | 17.7984 | + | 12.9313i | 1.06176 | + | 0.771415i | 0.974414 | − | 0.224763i | \(-0.0721607\pi\) |
0.0873484 | + | 0.996178i | \(0.472161\pi\) | |||||||
\(282\) | 3.70820 | − | 11.4127i | 0.220820 | − | 0.679615i | ||||
\(283\) | 1.23607 | + | 3.80423i | 0.0734766 | + | 0.226138i | 0.981050 | − | 0.193756i | \(-0.0620672\pi\) |
−0.907573 | + | 0.419894i | \(0.862067\pi\) | |||||||
\(284\) | 9.70820 | − | 7.05342i | 0.576076 | − | 0.418544i | ||||
\(285\) | −8.00000 | −0.473879 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 24.0000 | 1.41668 | ||||||||
\(288\) | −0.809017 | + | 0.587785i | −0.0476718 | + | 0.0346356i | ||||
\(289\) | −4.01722 | − | 12.3637i | −0.236307 | − | 0.727279i | ||||
\(290\) | 3.70820 | − | 11.4127i | 0.217753 | − | 0.670176i | ||||
\(291\) | −11.3262 | − | 8.22899i | −0.663956 | − | 0.482392i | ||||
\(292\) | 4.85410 | + | 3.52671i | 0.284065 | + | 0.206385i | ||||
\(293\) | 6.79837 | − | 20.9232i | 0.397165 | − | 1.22235i | −0.530097 | − | 0.847937i | \(-0.677845\pi\) |
0.927262 | − | 0.374412i | \(-0.122155\pi\) | |||||||
\(294\) | −2.78115 | − | 8.55951i | −0.162200 | − | 0.499201i | ||||
\(295\) | −19.4164 | + | 14.1068i | −1.13047 | + | 0.821332i | ||||
\(296\) | 6.00000 | 0.348743 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −10.0000 | −0.579284 | ||||||||
\(299\) | 19.4164 | − | 14.1068i | 1.12288 | − | 0.815820i | ||||
\(300\) | 0.309017 | + | 0.951057i | 0.0178411 | + | 0.0549093i | ||||
\(301\) | −4.94427 | + | 15.2169i | −0.284983 | + | 0.877088i | ||||
\(302\) | −3.23607 | − | 2.35114i | −0.186215 | − | 0.135293i | ||||
\(303\) | 11.3262 | + | 8.22899i | 0.650675 | + | 0.472743i | ||||
\(304\) | 1.23607 | − | 3.80423i | 0.0708934 | − | 0.218187i | ||||
\(305\) | −8.65248 | − | 26.6296i | −0.495439 | − | 1.52481i | ||||
\(306\) | −1.61803 | + | 1.17557i | −0.0924968 | + | 0.0672029i | ||||
\(307\) | 4.00000 | 0.228292 | 0.114146 | − | 0.993464i | \(-0.463587\pi\) | ||||
0.114146 | + | 0.993464i | \(0.463587\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 1.23607 | + | 3.80423i | 0.0700910 | + | 0.215718i | 0.979966 | − | 0.199164i | \(-0.0638228\pi\) |
−0.909875 | + | 0.414882i | \(0.863823\pi\) | |||||||
\(312\) | 1.85410 | − | 5.70634i | 0.104968 | − | 0.323058i | ||||
\(313\) | −21.0344 | − | 15.2824i | −1.18894 | − | 0.863813i | −0.195785 | − | 0.980647i | \(-0.562726\pi\) |
−0.993152 | + | 0.116834i | \(0.962726\pi\) | |||||||
\(314\) | 8.09017 | + | 5.87785i | 0.456555 | + | 0.331706i | ||||
\(315\) | −2.47214 | + | 7.60845i | −0.139289 | + | 0.428688i | ||||
\(316\) | −1.23607 | − | 3.80423i | −0.0695343 | − | 0.214004i | ||||
\(317\) | −14.5623 | + | 10.5801i | −0.817901 | + | 0.594240i | −0.916110 | − | 0.400926i | \(-0.868688\pi\) |
0.0982098 | + | 0.995166i | \(0.468688\pi\) | |||||||
\(318\) | −2.00000 | −0.112154 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 2.00000 | 0.111803 | ||||||||
\(321\) | 3.23607 | − | 2.35114i | 0.180620 | − | 0.131228i | ||||
\(322\) | −4.94427 | − | 15.2169i | −0.275534 | − | 0.848005i | ||||
\(323\) | 2.47214 | − | 7.60845i | 0.137553 | − | 0.423346i | ||||
\(324\) | −0.809017 | − | 0.587785i | −0.0449454 | − | 0.0326547i | ||||
\(325\) | −4.85410 | − | 3.52671i | −0.269257 | − | 0.195627i | ||||
\(326\) | −6.18034 | + | 19.0211i | −0.342297 | + | 1.05348i | ||||
\(327\) | 1.85410 | + | 5.70634i | 0.102532 | + | 0.315561i | ||||
\(328\) | 4.85410 | − | 3.52671i | 0.268023 | − | 0.194730i | ||||
\(329\) | 48.0000 | 2.64633 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 20.0000 | 1.09930 | 0.549650 | − | 0.835395i | \(-0.314761\pi\) | ||||
0.549650 | + | 0.835395i | \(0.314761\pi\) | |||||||
\(332\) | −3.23607 | + | 2.35114i | −0.177602 | + | 0.129036i | ||||
\(333\) | 1.85410 | + | 5.70634i | 0.101604 | + | 0.312705i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −6.47214 | − | 4.70228i | −0.353611 | − | 0.256913i | ||||
\(336\) | −3.23607 | − | 2.35114i | −0.176542 | − | 0.128265i | ||||
\(337\) | 5.56231 | − | 17.1190i | 0.302998 | − | 0.932532i | −0.677419 | − | 0.735598i | \(-0.736901\pi\) |
0.980417 | − | 0.196934i | \(-0.0630986\pi\) | |||||||
\(338\) | 7.10739 | + | 21.8743i | 0.386591 | + | 1.18981i | ||||
\(339\) | 1.61803 | − | 1.17557i | 0.0878795 | − | 0.0638482i | ||||
\(340\) | 4.00000 | 0.216930 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 4.00000 | 0.216295 | ||||||||
\(343\) | 6.47214 | − | 4.70228i | 0.349462 | − | 0.253899i | ||||
\(344\) | 1.23607 | + | 3.80423i | 0.0666443 | + | 0.205110i | ||||
\(345\) | −2.47214 | + | 7.60845i | −0.133095 | + | 0.409625i | ||||
\(346\) | 8.09017 | + | 5.87785i | 0.434930 | + | 0.315995i | ||||
\(347\) | 3.23607 | + | 2.35114i | 0.173721 | + | 0.126216i | 0.671248 | − | 0.741233i | \(-0.265758\pi\) |
−0.497527 | + | 0.867448i | \(0.665758\pi\) | |||||||
\(348\) | −1.85410 | + | 5.70634i | −0.0993903 | + | 0.305892i | ||||
\(349\) | −1.85410 | − | 5.70634i | −0.0992478 | − | 0.305453i | 0.889090 | − | 0.457733i | \(-0.151338\pi\) |
−0.988337 | + | 0.152280i | \(0.951338\pi\) | |||||||
\(350\) | −3.23607 | + | 2.35114i | −0.172975 | + | 0.125674i | ||||
\(351\) | 6.00000 | 0.320256 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 18.0000 | 0.958043 | 0.479022 | − | 0.877803i | \(-0.340992\pi\) | ||||
0.479022 | + | 0.877803i | \(0.340992\pi\) | |||||||
\(354\) | 9.70820 | − | 7.05342i | 0.515985 | − | 0.374885i | ||||
\(355\) | −7.41641 | − | 22.8254i | −0.393622 | − | 1.21144i | ||||
\(356\) | 3.09017 | − | 9.51057i | 0.163779 | − | 0.504059i | ||||
\(357\) | −6.47214 | − | 4.70228i | −0.342542 | − | 0.248871i | ||||
\(358\) | −16.1803 | − | 11.7557i | −0.855158 | − | 0.621308i | ||||
\(359\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(360\) | 0.618034 | + | 1.90211i | 0.0325733 | + | 0.100250i | ||||
\(361\) | 2.42705 | − | 1.76336i | 0.127740 | − | 0.0928082i | ||||
\(362\) | −2.00000 | −0.105118 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 24.0000 | 1.25794 | ||||||||
\(365\) | 9.70820 | − | 7.05342i | 0.508151 | − | 0.369193i | ||||
\(366\) | 4.32624 | + | 13.3148i | 0.226136 | + | 0.695975i | ||||
\(367\) | −4.94427 | + | 15.2169i | −0.258089 | + | 0.794316i | 0.735116 | + | 0.677941i | \(0.237127\pi\) |
−0.993205 | + | 0.116375i | \(0.962873\pi\) | |||||||
\(368\) | −3.23607 | − | 2.35114i | −0.168692 | − | 0.122562i | ||||
\(369\) | 4.85410 | + | 3.52671i | 0.252694 | + | 0.183593i | ||||
\(370\) | 3.70820 | − | 11.4127i | 0.192780 | − | 0.593317i | ||||
\(371\) | −2.47214 | − | 7.60845i | −0.128347 | − | 0.395011i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −14.0000 | −0.724893 | −0.362446 | − | 0.932005i | \(-0.618058\pi\) | ||||
−0.362446 | + | 0.932005i | \(0.618058\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 12.0000 | 0.619677 | ||||||||
\(376\) | 9.70820 | − | 7.05342i | 0.500662 | − | 0.363753i | ||||
\(377\) | −11.1246 | − | 34.2380i | −0.572947 | − | 1.76335i | ||||
\(378\) | 1.23607 | − | 3.80423i | 0.0635765 | − | 0.195668i | ||||
\(379\) | 22.6525 | + | 16.4580i | 1.16358 | + | 0.845390i | 0.990226 | − | 0.139470i | \(-0.0445398\pi\) |
0.173353 | + | 0.984860i | \(0.444540\pi\) | |||||||
\(380\) | −6.47214 | − | 4.70228i | −0.332014 | − | 0.241222i | ||||
\(381\) | −3.70820 | + | 11.4127i | −0.189977 | + | 0.584689i | ||||
\(382\) | −3.70820 | − | 11.4127i | −0.189728 | − | 0.583923i | ||||
\(383\) | 3.23607 | − | 2.35114i | 0.165355 | − | 0.120138i | −0.502030 | − | 0.864850i | \(-0.667413\pi\) |
0.667385 | + | 0.744712i | \(0.267413\pi\) | |||||||
\(384\) | −1.00000 | −0.0510310 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 10.0000 | 0.508987 | ||||||||
\(387\) | −3.23607 | + | 2.35114i | −0.164499 | + | 0.119515i | ||||
\(388\) | −4.32624 | − | 13.3148i | −0.219631 | − | 0.675956i | ||||
\(389\) | −9.27051 | + | 28.5317i | −0.470034 | + | 1.44661i | 0.382507 | + | 0.923953i | \(0.375061\pi\) |
−0.852540 | + | 0.522662i | \(0.824939\pi\) | |||||||
\(390\) | −9.70820 | − | 7.05342i | −0.491594 | − | 0.357164i | ||||
\(391\) | −6.47214 | − | 4.70228i | −0.327310 | − | 0.237805i | ||||
\(392\) | 2.78115 | − | 8.55951i | 0.140469 | − | 0.432320i | ||||
\(393\) | −1.23607 | − | 3.80423i | −0.0623514 | − | 0.191898i | ||||
\(394\) | 1.61803 | − | 1.17557i | 0.0815154 | − | 0.0592244i | ||||
\(395\) | −8.00000 | −0.402524 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 22.0000 | 1.10415 | 0.552074 | − | 0.833795i | \(-0.313837\pi\) | ||||
0.552074 | + | 0.833795i | \(0.313837\pi\) | |||||||
\(398\) | 12.9443 | − | 9.40456i | 0.648838 | − | 0.471408i | ||||
\(399\) | 4.94427 | + | 15.2169i | 0.247523 | + | 0.761798i | ||||
\(400\) | −0.309017 | + | 0.951057i | −0.0154508 | + | 0.0475528i | ||||
\(401\) | 30.7426 | + | 22.3358i | 1.53521 | + | 1.11540i | 0.953249 | + | 0.302185i | \(0.0977160\pi\) |
0.581965 | + | 0.813214i | \(0.302284\pi\) | |||||||
\(402\) | 3.23607 | + | 2.35114i | 0.161400 | + | 0.117264i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 4.32624 | + | 13.3148i | 0.215238 | + | 0.662436i | ||||
\(405\) | −1.61803 | + | 1.17557i | −0.0804008 | + | 0.0584146i | ||||
\(406\) | −24.0000 | −1.19110 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −2.00000 | −0.0990148 | ||||||||
\(409\) | 11.3262 | − | 8.22899i | 0.560046 | − | 0.406898i | −0.271430 | − | 0.962458i | \(-0.587496\pi\) |
0.831476 | + | 0.555561i | \(0.187496\pi\) | |||||||
\(410\) | −3.70820 | − | 11.4127i | −0.183135 | − | 0.563632i | ||||
\(411\) | −0.618034 | + | 1.90211i | −0.0304854 | + | 0.0938243i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 38.8328 | + | 28.2137i | 1.91084 | + | 1.38831i | ||||
\(414\) | 1.23607 | − | 3.80423i | 0.0607494 | − | 0.186968i | ||||
\(415\) | 2.47214 | + | 7.60845i | 0.121352 | + | 0.373484i | ||||
\(416\) | 4.85410 | − | 3.52671i | 0.237992 | − | 0.172911i | ||||
\(417\) | 4.00000 | 0.195881 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −12.0000 | −0.586238 | −0.293119 | − | 0.956076i | \(-0.594693\pi\) | ||||
−0.293119 | + | 0.956076i | \(0.594693\pi\) | |||||||
\(420\) | −6.47214 | + | 4.70228i | −0.315808 | + | 0.229448i | ||||
\(421\) | −3.09017 | − | 9.51057i | −0.150606 | − | 0.463517i | 0.847084 | − | 0.531460i | \(-0.178356\pi\) |
−0.997689 | + | 0.0679432i | \(0.978356\pi\) | |||||||
\(422\) | −1.23607 | + | 3.80423i | −0.0601708 | + | 0.185187i | ||||
\(423\) | 9.70820 | + | 7.05342i | 0.472029 | + | 0.342949i | ||||
\(424\) | −1.61803 | − | 1.17557i | −0.0785787 | − | 0.0570908i | ||||
\(425\) | −0.618034 | + | 1.90211i | −0.0299791 | + | 0.0922660i | ||||
\(426\) | 3.70820 | + | 11.4127i | 0.179663 | + | 0.552946i | ||||
\(427\) | −45.3050 | + | 32.9160i | −2.19246 | + | 1.59292i | ||||
\(428\) | 4.00000 | 0.193347 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 8.00000 | 0.385794 | ||||||||
\(431\) | 0 | 0 | −0.587785 | − | 0.809017i | \(-0.700000\pi\) | ||||
0.587785 | + | 0.809017i | \(0.300000\pi\) | |||||||
\(432\) | −0.309017 | − | 0.951057i | −0.0148676 | − | 0.0457577i | ||||
\(433\) | 0.618034 | − | 1.90211i | 0.0297008 | − | 0.0914097i | −0.935107 | − | 0.354365i | \(-0.884697\pi\) |
0.964808 | + | 0.262955i | \(0.0846971\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 9.70820 | + | 7.05342i | 0.465473 | + | 0.338186i | ||||
\(436\) | −1.85410 | + | 5.70634i | −0.0887954 | + | 0.273284i | ||||
\(437\) | 4.94427 | + | 15.2169i | 0.236517 | + | 0.727923i | ||||
\(438\) | −4.85410 | + | 3.52671i | −0.231938 | + | 0.168513i | ||||
\(439\) | 4.00000 | 0.190910 | 0.0954548 | − | 0.995434i | \(-0.469569\pi\) | ||||
0.0954548 | + | 0.995434i | \(0.469569\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 9.00000 | 0.428571 | ||||||||
\(442\) | 9.70820 | − | 7.05342i | 0.461772 | − | 0.335497i | ||||
\(443\) | 8.65248 | + | 26.6296i | 0.411092 | + | 1.26521i | 0.915700 | + | 0.401862i | \(0.131637\pi\) |
−0.504609 | + | 0.863348i | \(0.668363\pi\) | |||||||
\(444\) | −1.85410 | + | 5.70634i | −0.0879918 | + | 0.270811i | ||||
\(445\) | −16.1803 | − | 11.7557i | −0.767022 | − | 0.557274i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 3.09017 | − | 9.51057i | 0.146160 | − | 0.449834i | ||||
\(448\) | −1.23607 | − | 3.80423i | −0.0583987 | − | 0.179733i | ||||
\(449\) | 17.7984 | − | 12.9313i | 0.839957 | − | 0.610265i | −0.0824015 | − | 0.996599i | \(-0.526259\pi\) |
0.922359 | + | 0.386335i | \(0.126259\pi\) | |||||||
\(450\) | −1.00000 | −0.0471405 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 2.00000 | 0.0940721 | ||||||||
\(453\) | 3.23607 | − | 2.35114i | 0.152044 | − | 0.110466i | ||||
\(454\) | 3.70820 | + | 11.4127i | 0.174035 | + | 0.535624i | ||||
\(455\) | 14.8328 | − | 45.6507i | 0.695373 | − | 2.14014i | ||||
\(456\) | 3.23607 | + | 2.35114i | 0.151543 | + | 0.110102i | ||||
\(457\) | −27.5066 | − | 19.9847i | −1.28670 | − | 0.934845i | −0.286970 | − | 0.957940i | \(-0.592648\pi\) |
−0.999733 | + | 0.0230948i | \(0.992648\pi\) | |||||||
\(458\) | 4.32624 | − | 13.3148i | 0.202152 | − | 0.622159i | ||||
\(459\) | −0.618034 | − | 1.90211i | −0.0288474 | − | 0.0887830i | ||||
\(460\) | −6.47214 | + | 4.70228i | −0.301765 | + | 0.219245i | ||||
\(461\) | 14.0000 | 0.652045 | 0.326023 | − | 0.945362i | \(-0.394291\pi\) | ||||
0.326023 | + | 0.945362i | \(0.394291\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −24.0000 | −1.11537 | −0.557687 | − | 0.830051i | \(-0.688311\pi\) | ||||
−0.557687 | + | 0.830051i | \(0.688311\pi\) | |||||||
\(464\) | −4.85410 | + | 3.52671i | −0.225346 | + | 0.163723i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 3.09017 | − | 9.51057i | 0.143149 | − | 0.440568i | ||||
\(467\) | −9.70820 | − | 7.05342i | −0.449242 | − | 0.326393i | 0.340054 | − | 0.940406i | \(-0.389555\pi\) |
−0.789296 | + | 0.614012i | \(0.789555\pi\) | |||||||
\(468\) | 4.85410 | + | 3.52671i | 0.224381 | + | 0.163022i | ||||
\(469\) | −4.94427 | + | 15.2169i | −0.228305 | + | 0.702651i | ||||
\(470\) | −7.41641 | − | 22.8254i | −0.342093 | − | 1.05286i | ||||
\(471\) | −8.09017 | + | 5.87785i | −0.372775 | + | 0.270837i | ||||
\(472\) | 12.0000 | 0.552345 | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 4.00000 | 0.183726 | ||||||||
\(475\) | 3.23607 | − | 2.35114i | 0.148481 | − | 0.107878i | ||||
\(476\) | −2.47214 | − | 7.60845i | −0.113310 | − | 0.348733i | ||||
\(477\) | 0.618034 | − | 1.90211i | 0.0282978 | − | 0.0870918i | ||||
\(478\) | −6.47214 | − | 4.70228i | −0.296029 | − | 0.215077i | ||||
\(479\) | 0 | 0 | 0.587785 | − | 0.809017i | \(-0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(480\) | −0.618034 | + | 1.90211i | −0.0282093 | + | 0.0868192i | ||||
\(481\) | −11.1246 | − | 34.2380i | −0.507239 | − | 1.56112i | ||||
\(482\) | −8.09017 | + | 5.87785i | −0.368497 | + | 0.267729i | ||||
\(483\) | 16.0000 | 0.728025 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −28.0000 | −1.27141 | ||||||||
\(486\) | 0.809017 | − | 0.587785i | 0.0366978 | − | 0.0266625i | ||||
\(487\) | −4.94427 | − | 15.2169i | −0.224046 | − | 0.689544i | −0.998387 | − | 0.0567748i | \(-0.981918\pi\) |
0.774341 | − | 0.632769i | \(-0.218082\pi\) | |||||||
\(488\) | −4.32624 | + | 13.3148i | −0.195840 | + | 0.602732i | ||||
\(489\) | −16.1803 | − | 11.7557i | −0.731700 | − | 0.531611i | ||||
\(490\) | −14.5623 | − | 10.5801i | −0.657858 | − | 0.477962i | ||||
\(491\) | −8.65248 | + | 26.6296i | −0.390481 | + | 1.20178i | 0.541945 | + | 0.840414i | \(0.317688\pi\) |
−0.932426 | + | 0.361362i | \(0.882312\pi\) | |||||||
\(492\) | 1.85410 | + | 5.70634i | 0.0835894 | + | 0.257262i | ||||
\(493\) | −9.70820 | + | 7.05342i | −0.437236 | + | 0.317670i | ||||
\(494\) | −24.0000 | −1.07981 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −38.8328 | + | 28.2137i | −1.74189 | + | 1.26556i | ||||
\(498\) | −1.23607 | − | 3.80423i | −0.0553895 | − | 0.170471i | ||||
\(499\) | −1.23607 | + | 3.80423i | −0.0553340 | + | 0.170301i | −0.974904 | − | 0.222626i | \(-0.928537\pi\) |
0.919570 | + | 0.392926i | \(0.128537\pi\) | |||||||
\(500\) | 9.70820 | + | 7.05342i | 0.434164 | + | 0.315439i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −1.23607 | + | 3.80423i | −0.0551684 | + | 0.169791i | ||||
\(503\) | 9.88854 | + | 30.4338i | 0.440908 | + | 1.35698i | 0.886909 | + | 0.461944i | \(0.152848\pi\) |
−0.446001 | + | 0.895033i | \(0.647152\pi\) | |||||||
\(504\) | 3.23607 | − | 2.35114i | 0.144146 | − | 0.104728i | ||||
\(505\) | 28.0000 | 1.24598 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −23.0000 | −1.02147 | ||||||||
\(508\) | −9.70820 | + | 7.05342i | −0.430732 | + | 0.312945i | ||||
\(509\) | −6.79837 | − | 20.9232i | −0.301333 | − | 0.927406i | −0.981020 | − | 0.193905i | \(-0.937885\pi\) |
0.679688 | − | 0.733502i | \(-0.262115\pi\) | |||||||
\(510\) | −1.23607 | + | 3.80423i | −0.0547340 | + | 0.168454i | ||||
\(511\) | −19.4164 | − | 14.1068i | −0.858931 | − | 0.624050i | ||||
\(512\) | −0.809017 | − | 0.587785i | −0.0357538 | − | 0.0259767i | ||||
\(513\) | −1.23607 | + | 3.80423i | −0.0545737 | + | 0.167961i | ||||
\(514\) | 0.618034 | + | 1.90211i | 0.0272603 | + | 0.0838986i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −4.00000 | −0.176090 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −24.0000 | −1.05450 | ||||||||
\(519\) | −8.09017 | + | 5.87785i | −0.355119 | + | 0.258009i | ||||
\(520\) | −3.70820 | − | 11.4127i | −0.162615 | − | 0.500479i | ||||
\(521\) | 5.56231 | − | 17.1190i | 0.243689 | − | 0.749998i | −0.752160 | − | 0.658980i | \(-0.770988\pi\) |
0.995849 | − | 0.0910175i | \(-0.0290119\pi\) | |||||||
\(522\) | −4.85410 | − | 3.52671i | −0.212458 | − | 0.154360i | ||||
\(523\) | −16.1803 | − | 11.7557i | −0.707517 | − | 0.514041i | 0.174855 | − | 0.984594i | \(-0.444054\pi\) |
−0.882372 | + | 0.470553i | \(0.844054\pi\) | |||||||
\(524\) | 1.23607 | − | 3.80423i | 0.0539979 | − | 0.166188i | ||||
\(525\) | −1.23607 | − | 3.80423i | −0.0539464 | − | 0.166030i | ||||
\(526\) | 19.4164 | − | 14.1068i | 0.846596 | − | 0.615088i | ||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −7.00000 | −0.304348 | ||||||||
\(530\) | −3.23607 | + | 2.35114i | −0.140566 | + | 0.102127i | ||||
\(531\) | 3.70820 | + | 11.4127i | 0.160922 | + | 0.495268i | ||||
\(532\) | −4.94427 | + | 15.2169i | −0.214361 | + | 0.659736i | ||||
\(533\) | −29.1246 | − | 21.1603i | −1.26153 | − | 0.916553i | ||||
\(534\) | 8.09017 | + | 5.87785i | 0.350096 | + | 0.254360i | ||||
\(535\) | 2.47214 | − | 7.60845i | 0.106880 | − | 0.328942i | ||||
\(536\) | 1.23607 | + | 3.80423i | 0.0533900 | + | 0.164318i | ||||
\(537\) | 16.1803 | − | 11.7557i | 0.698233 | − | 0.507296i | ||||
\(538\) | 26.0000 | 1.12094 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −2.00000 | −0.0860663 | ||||||||
\(541\) | 30.7426 | − | 22.3358i | 1.32173 | − | 0.960293i | 0.321821 | − | 0.946801i | \(-0.395705\pi\) |
0.999909 | − | 0.0134921i | \(-0.00429479\pi\) | |||||||
\(542\) | 6.18034 | + | 19.0211i | 0.265468 | + | 0.817028i | ||||
\(543\) | 0.618034 | − | 1.90211i | 0.0265224 | − | 0.0816275i | ||||
\(544\) | −1.61803 | − | 1.17557i | −0.0693726 | − | 0.0504022i | ||||
\(545\) | 9.70820 | + | 7.05342i | 0.415854 | + | 0.302135i | ||||
\(546\) | −7.41641 | + | 22.8254i | −0.317393 | + | 0.976835i | ||||
\(547\) | −8.65248 | − | 26.6296i | −0.369953 | − | 1.13860i | −0.946821 | − | 0.321761i | \(-0.895725\pi\) |
0.576868 | − | 0.816838i | \(-0.304275\pi\) | |||||||
\(548\) | −1.61803 | + | 1.17557i | −0.0691190 | + | 0.0502179i | ||||
\(549\) | −14.0000 | −0.597505 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 24.0000 | 1.02243 | ||||||||
\(552\) | 3.23607 | − | 2.35114i | 0.137736 | − | 0.100071i | ||||
\(553\) | 4.94427 | + | 15.2169i | 0.210252 | + | 0.647089i | ||||
\(554\) | 8.03444 | − | 24.7275i | 0.341351 | − | 1.05057i | ||||
\(555\) | 9.70820 | + | 7.05342i | 0.412090 | + | 0.299401i | ||||
\(556\) | 3.23607 | + | 2.35114i | 0.137240 | + | 0.0997106i | ||||
\(557\) | 9.27051 | − | 28.5317i | 0.392804 | − | 1.20893i | −0.537854 | − | 0.843038i | \(-0.680765\pi\) |
0.930659 | − | 0.365889i | \(-0.119235\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 19.4164 | − | 14.1068i | 0.821227 | − | 0.596656i | ||||
\(560\) | −8.00000 | −0.338062 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −22.0000 | −0.928014 | ||||||||
\(563\) | 16.1803 | − | 11.7557i | 0.681920 | − | 0.495444i | −0.192074 | − | 0.981380i | \(-0.561521\pi\) |
0.873994 | + | 0.485937i | \(0.161521\pi\) | |||||||
\(564\) | 3.70820 | + | 11.4127i | 0.156144 | + | 0.480560i | ||||
\(565\) | 1.23607 | − | 3.80423i | 0.0520018 | − | 0.160045i | ||||
\(566\) | −3.23607 | − | 2.35114i | −0.136022 | − | 0.0988258i | ||||
\(567\) | 3.23607 | + | 2.35114i | 0.135902 | + | 0.0987386i | ||||
\(568\) | −3.70820 | + | 11.4127i | −0.155593 | + | 0.478865i | ||||
\(569\) | 3.09017 | + | 9.51057i | 0.129547 | + | 0.398704i | 0.994702 | − | 0.102800i | \(-0.0327803\pi\) |
−0.865155 | + | 0.501504i | \(0.832780\pi\) | |||||||
\(570\) | 6.47214 | − | 4.70228i | 0.271088 | − | 0.196957i | ||||
\(571\) | −20.0000 | −0.836974 | −0.418487 | − | 0.908223i | \(-0.637439\pi\) | ||||
−0.418487 | + | 0.908223i | \(0.637439\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 12.0000 | 0.501307 | ||||||||
\(574\) | −19.4164 | + | 14.1068i | −0.810425 | + | 0.588808i | ||||
\(575\) | −1.23607 | − | 3.80423i | −0.0515476 | − | 0.158647i | ||||
\(576\) | 0.309017 | − | 0.951057i | 0.0128757 | − | 0.0396274i | ||||
\(577\) | 37.2148 | + | 27.0381i | 1.54927 | + | 1.12561i | 0.944168 | + | 0.329465i | \(0.106868\pi\) |
0.605104 | + | 0.796146i | \(0.293132\pi\) | |||||||
\(578\) | 10.5172 | + | 7.64121i | 0.437459 | + | 0.317832i | ||||
\(579\) | −3.09017 | + | 9.51057i | −0.128423 | + | 0.395246i | ||||
\(580\) | 3.70820 | + | 11.4127i | 0.153975 | + | 0.473886i | ||||
\(581\) | 12.9443 | − | 9.40456i | 0.537019 | − | 0.390167i | ||||
\(582\) | 14.0000 | 0.580319 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −6.00000 | −0.248282 | ||||||||
\(585\) | 9.70820 | − | 7.05342i | 0.401385 | − | 0.291623i | ||||
\(586\) | 6.79837 | + | 20.9232i | 0.280838 | + | 0.864331i | ||||
\(587\) | −11.1246 | + | 34.2380i | −0.459162 | + | 1.41315i | 0.407017 | + | 0.913421i | \(0.366569\pi\) |
−0.866179 | + | 0.499734i | \(0.833431\pi\) | |||||||
\(588\) | 7.28115 | + | 5.29007i | 0.300270 | + | 0.218159i | ||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 7.41641 | − | 22.8254i | 0.305329 | − | 0.939705i | ||||
\(591\) | 0.618034 | + | 1.90211i | 0.0254225 | + | 0.0782425i | ||||
\(592\) | −4.85410 | + | 3.52671i | −0.199502 | + | 0.144947i | ||||
\(593\) | −30.0000 | −1.23195 | −0.615976 | − | 0.787765i | \(-0.711238\pi\) | ||||
−0.615976 | + | 0.787765i | \(0.711238\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −16.0000 | −0.655936 | ||||||||
\(596\) | 8.09017 | − | 5.87785i | 0.331386 | − | 0.240766i | ||||
\(597\) | 4.94427 | + | 15.2169i | 0.202356 | + | 0.622786i | ||||
\(598\) | −7.41641 | + | 22.8254i | −0.303279 | + | 0.933398i | ||||
\(599\) | −29.1246 | − | 21.1603i | −1.19000 | − | 0.864585i | −0.196735 | − | 0.980457i | \(-0.563034\pi\) |
−0.993264 | + | 0.115872i | \(0.963034\pi\) | |||||||
\(600\) | −0.809017 | − | 0.587785i | −0.0330280 | − | 0.0239962i | ||||
\(601\) | 3.09017 | − | 9.51057i | 0.126051 | − | 0.387944i | −0.868040 | − | 0.496494i | \(-0.834621\pi\) |
0.994091 | + | 0.108550i | \(0.0346206\pi\) | |||||||
\(602\) | −4.94427 | − | 15.2169i | −0.201513 | − | 0.620195i | ||||
\(603\) | −3.23607 | + | 2.35114i | −0.131783 | + | 0.0957459i | ||||
\(604\) | 4.00000 | 0.162758 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −14.0000 | −0.568711 | ||||||||
\(607\) | −22.6525 | + | 16.4580i | −0.919436 | + | 0.668009i | −0.943383 | − | 0.331704i | \(-0.892376\pi\) |
0.0239478 | + | 0.999713i | \(0.492376\pi\) | |||||||
\(608\) | 1.23607 | + | 3.80423i | 0.0501292 | + | 0.154282i | ||||
\(609\) | 7.41641 | − | 22.8254i | 0.300528 | − | 0.924930i | ||||
\(610\) | 22.6525 | + | 16.4580i | 0.917172 | + | 0.666364i | ||||
\(611\) | −58.2492 | − | 42.3205i | −2.35651 | − | 1.71211i | ||||
\(612\) | 0.618034 | − | 1.90211i | 0.0249825 | − | 0.0768884i | ||||
\(613\) | −1.85410 | − | 5.70634i | −0.0748865 | − | 0.230477i | 0.906606 | − | 0.421979i | \(-0.138664\pi\) |
−0.981492 | + | 0.191502i | \(0.938664\pi\) | |||||||
\(614\) | −3.23607 | + | 2.35114i | −0.130597 | + | 0.0948843i | ||||
\(615\) | 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 | ||||||||
\(619\) | −1.23607 | − | 3.80423i | −0.0496818 | − | 0.152905i | 0.923138 | − | 0.384469i | \(-0.125616\pi\) |
−0.972820 | + | 0.231565i | \(0.925616\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 3.23607 | + | 2.35114i | 0.129859 | + | 0.0943480i | ||||
\(622\) | −3.23607 | − | 2.35114i | −0.129755 | − | 0.0942722i | ||||
\(623\) | −12.3607 | + | 38.0423i | −0.495220 | + | 1.52413i | ||||
\(624\) | 1.85410 | + | 5.70634i | 0.0742235 | + | 0.228436i | ||||
\(625\) | 15.3713 | − | 11.1679i | 0.614853 | − | 0.446717i | ||||
\(626\) | 26.0000 | 1.03917 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −10.0000 | −0.399043 | ||||||||
\(629\) | −9.70820 | + | 7.05342i | −0.387091 | + | 0.281238i | ||||
\(630\) | −2.47214 | − | 7.60845i | −0.0984923 | − | 0.303128i | ||||
\(631\) | −2.47214 | + | 7.60845i | −0.0984142 | + | 0.302888i | −0.988128 | − | 0.153630i | \(-0.950904\pi\) |
0.889714 | + | 0.456518i | \(0.150904\pi\) | |||||||
\(632\) | 3.23607 | + | 2.35114i | 0.128724 | + | 0.0935234i | ||||
\(633\) | −3.23607 | − | 2.35114i | −0.128622 | − | 0.0934495i | ||||
\(634\) | 5.56231 | − | 17.1190i | 0.220907 | − | 0.679883i | ||||
\(635\) | 7.41641 | + | 22.8254i | 0.294311 | + | 0.905797i | ||||
\(636\) | 1.61803 | − | 1.17557i | 0.0641592 | − | 0.0466144i | ||||
\(637\) | −54.0000 | −2.13956 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −12.0000 | −0.474713 | ||||||||
\(640\) | −1.61803 | + | 1.17557i | −0.0639584 | + | 0.0464685i | ||||
\(641\) | 12.9787 | + | 39.9444i | 0.512628 | + | 1.57771i | 0.787556 | + | 0.616243i | \(0.211346\pi\) |
−0.274928 | + | 0.961465i | \(0.588654\pi\) | |||||||
\(642\) | −1.23607 | + | 3.80423i | −0.0487837 | + | 0.150141i | ||||
\(643\) | 22.6525 | + | 16.4580i | 0.893326 | + | 0.649040i | 0.936743 | − | 0.350017i | \(-0.113824\pi\) |
−0.0434168 | + | 0.999057i | \(0.513824\pi\) | |||||||
\(644\) | 12.9443 | + | 9.40456i | 0.510076 | + | 0.370592i | ||||
\(645\) | −2.47214 | + | 7.60845i | −0.0973403 | + | 0.299583i | ||||
\(646\) | 2.47214 | + | 7.60845i | 0.0972649 | + | 0.299351i | ||||
\(647\) | 22.6525 | − | 16.4580i | 0.890561 | − | 0.647030i | −0.0454634 | − | 0.998966i | \(-0.514476\pi\) |
0.936024 | + | 0.351936i | \(0.114476\pi\) | |||||||
\(648\) | 1.00000 | 0.0392837 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 6.00000 | 0.235339 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −6.18034 | − | 19.0211i | −0.242041 | − | 0.744925i | ||||
\(653\) | 5.56231 | − | 17.1190i | 0.217670 | − | 0.669919i | −0.781283 | − | 0.624176i | \(-0.785435\pi\) |
0.998953 | − | 0.0457425i | \(-0.0145654\pi\) | |||||||
\(654\) | −4.85410 | − | 3.52671i | −0.189810 | − | 0.137905i | ||||
\(655\) | −6.47214 | − | 4.70228i | −0.252887 | − | 0.183733i | ||||
\(656\) | −1.85410 | + | 5.70634i | −0.0723905 | + | 0.222795i | ||||
\(657\) | −1.85410 | − | 5.70634i | −0.0723354 | − | 0.222625i | ||||
\(658\) | −38.8328 | + | 28.2137i | −1.51386 | + | 1.09988i | ||||
\(659\) | −36.0000 | −1.40236 | −0.701180 | − | 0.712984i | \(-0.747343\pi\) | ||||
−0.701180 | + | 0.712984i | \(0.747343\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −18.0000 | −0.700119 | −0.350059 | − | 0.936727i | \(-0.613839\pi\) | ||||
−0.350059 | + | 0.936727i | \(0.613839\pi\) | |||||||
\(662\) | −16.1803 | + | 11.7557i | −0.628867 | + | 0.456898i | ||||
\(663\) | 3.70820 | + | 11.4127i | 0.144015 | + | 0.443232i | ||||
\(664\) | 1.23607 | − | 3.80423i | 0.0479687 | − | 0.147633i | ||||
\(665\) | 25.8885 | + | 18.8091i | 1.00391 | + | 0.729387i | ||||
\(666\) | −4.85410 | − | 3.52671i | −0.188093 | − | 0.136657i | ||||
\(667\) | 7.41641 | − | 22.8254i | 0.287164 | − | 0.883801i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 8.00000 | 0.309067 | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 4.00000 | 0.154303 | ||||||||
\(673\) | −21.0344 | + | 15.2824i | −0.810818 | + | 0.589094i | −0.914068 | − | 0.405562i | \(-0.867076\pi\) |
0.103250 | + | 0.994655i | \(0.467076\pi\) | |||||||
\(674\) | 5.56231 | + | 17.1190i | 0.214252 | + | 0.659400i | ||||
\(675\) | 0.309017 | − | 0.951057i | 0.0118941 | − | 0.0366062i | ||||
\(676\) | −18.6074 | − | 13.5191i | −0.715669 | − | 0.519964i | ||||
\(677\) | −37.2148 | − | 27.0381i | −1.43028 | − | 1.03916i | −0.989964 | − | 0.141316i | \(-0.954866\pi\) |
−0.440316 | − | 0.897843i | \(-0.645134\pi\) | |||||||
\(678\) | −0.618034 | + | 1.90211i | −0.0237355 | + | 0.0730502i | ||||
\(679\) | 17.3050 | + | 53.2592i | 0.664103 | + | 2.04390i | ||||
\(680\) | −3.23607 | + | 2.35114i | −0.124098 | + | 0.0901621i | ||||
\(681\) | −12.0000 | −0.459841 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 12.0000 | 0.459167 | 0.229584 | − | 0.973289i | \(-0.426264\pi\) | ||||
0.229584 | + | 0.973289i | \(0.426264\pi\) | |||||||
\(684\) | −3.23607 | + | 2.35114i | −0.123734 | + | 0.0898981i | ||||
\(685\) | 1.23607 | + | 3.80423i | 0.0472277 | + | 0.145352i | ||||
\(686\) | −2.47214 | + | 7.60845i | −0.0943866 | + | 0.290492i | ||||
\(687\) | 11.3262 | + | 8.22899i | 0.432123 | + | 0.313956i | ||||
\(688\) | −3.23607 | − | 2.35114i | −0.123374 | − | 0.0896364i | ||||
\(689\) | −3.70820 | + | 11.4127i | −0.141271 | + | 0.434788i | ||||
\(690\) | −2.47214 | − | 7.60845i | −0.0941126 | − | 0.289649i | ||||
\(691\) | 9.70820 | − | 7.05342i | 0.369317 | − | 0.268325i | −0.387610 | − | 0.921823i | \(-0.626699\pi\) |
0.756928 | + | 0.653498i | \(0.226699\pi\) | |||||||
\(692\) | −10.0000 | −0.380143 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −4.00000 | −0.151838 | ||||||||
\(695\) | 6.47214 | − | 4.70228i | 0.245502 | − | 0.178368i | ||||
\(696\) | −1.85410 | − | 5.70634i | −0.0702796 | − | 0.216298i | ||||
\(697\) | −3.70820 | + | 11.4127i | −0.140458 | + | 0.432286i | ||||
\(698\) | 4.85410 | + | 3.52671i | 0.183730 | + | 0.133488i | ||||
\(699\) | 8.09017 | + | 5.87785i | 0.305998 | + | 0.222321i | ||||
\(700\) | 1.23607 | − | 3.80423i | 0.0467190 | − | 0.143786i | ||||
\(701\) | 9.27051 | + | 28.5317i | 0.350142 | + | 1.07763i | 0.958773 | + | 0.284174i | \(0.0917192\pi\) |
−0.608631 | + | 0.793454i | \(0.708281\pi\) | |||||||
\(702\) | −4.85410 | + | 3.52671i | −0.183206 | + | 0.133107i | ||||
\(703\) | 24.0000 | 0.905177 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 24.0000 | 0.903892 | ||||||||
\(706\) | −14.5623 | + | 10.5801i | −0.548060 | + | 0.398189i | ||||
\(707\) | −17.3050 | − | 53.2592i | −0.650820 | − | 2.00302i | ||||
\(708\) | −3.70820 | + | 11.4127i | −0.139363 | + | 0.428915i | ||||
\(709\) | 14.5623 | + | 10.5801i | 0.546899 | + | 0.397345i | 0.826641 | − | 0.562730i | \(-0.190249\pi\) |
−0.279742 | + | 0.960075i | \(0.590249\pi\) | |||||||
\(710\) | 19.4164 | + | 14.1068i | 0.728685 | + | 0.529420i | ||||
\(711\) | −1.23607 | + | 3.80423i | −0.0463562 | + | 0.142670i | ||||
\(712\) | 3.09017 | + | 9.51057i | 0.115809 | + | 0.356423i | ||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 8.00000 | 0.299392 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 20.0000 | 0.747435 | ||||||||
\(717\) | 6.47214 | − | 4.70228i | 0.241706 | − | 0.175610i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 3.70820 | − | 11.4127i | 0.138293 | − | 0.425621i | −0.857795 | − | 0.513992i | \(-0.828166\pi\) |
0.996088 | + | 0.0883709i | \(0.0281661\pi\) | |||||||
\(720\) | −1.61803 | − | 1.17557i | −0.0603006 | − | 0.0438109i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −0.927051 | + | 2.85317i | −0.0345013 | + | 0.106184i | ||||
\(723\) | −3.09017 | − | 9.51057i | −0.114925 | − | 0.353702i | ||||
\(724\) | 1.61803 | − | 1.17557i | 0.0601338 | − | 0.0436897i | ||||
\(725\) | −6.00000 | −0.222834 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(728\) | −19.4164 | + | 14.1068i | −0.719620 | + | 0.522834i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | −3.70820 | + | 11.4127i | −0.137247 | + | 0.422402i | ||||
\(731\) | −6.47214 | − | 4.70228i | −0.239381 | − | 0.173920i | ||||
\(732\) | −11.3262 | − | 8.22899i | −0.418630 | − | 0.304152i | ||||
\(733\) | −6.79837 | + | 20.9232i | −0.251104 | + | 0.772818i | 0.743469 | + | 0.668771i | \(0.233179\pi\) |
−0.994572 | + | 0.104047i | \(0.966821\pi\) | |||||||
\(734\) | −4.94427 | − | 15.2169i | −0.182496 | − | 0.561666i | ||||
\(735\) | 14.5623 | − | 10.5801i | 0.537139 | − | 0.390254i | ||||
\(736\) | 4.00000 | 0.147442 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −6.00000 | −0.220863 | ||||||||
\(739\) | −35.5967 | + | 25.8626i | −1.30945 | + | 0.951369i | −0.309448 | + | 0.950916i | \(0.600144\pi\) |
−1.00000 | 0.000452837i | \(0.999856\pi\) | ||||||||
\(740\) | 3.70820 | + | 11.4127i | 0.136316 | + | 0.419538i | ||||
\(741\) | 7.41641 | − | 22.8254i | 0.272449 | − | 0.838510i | ||||
\(742\) | 6.47214 | + | 4.70228i | 0.237600 | + | 0.172626i | ||||
\(743\) | 25.8885 | + | 18.8091i | 0.949759 | + | 0.690040i | 0.950750 | − | 0.309960i | \(-0.100316\pi\) |
−0.000991194 | 1.00000i | \(0.500316\pi\) | ||||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −6.18034 | − | 19.0211i | −0.226430 | − | 0.696880i | ||||
\(746\) | 11.3262 | − | 8.22899i | 0.414683 | − | 0.301285i | ||||
\(747\) | 4.00000 | 0.146352 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −16.0000 | −0.584627 | ||||||||
\(750\) | −9.70820 | + | 7.05342i | −0.354493 | + | 0.257555i | ||||
\(751\) | 9.88854 | + | 30.4338i | 0.360838 | + | 1.11055i | 0.952546 | + | 0.304393i | \(0.0984537\pi\) |
−0.591708 | + | 0.806152i | \(0.701546\pi\) | |||||||
\(752\) | −3.70820 | + | 11.4127i | −0.135224 | + | 0.416178i | ||||
\(753\) | −3.23607 | − | 2.35114i | −0.117929 | − | 0.0856803i | ||||
\(754\) | 29.1246 | + | 21.1603i | 1.06066 | + | 0.770612i | ||||
\(755\) | 2.47214 | − | 7.60845i | 0.0899702 | − | 0.276900i | ||||
\(756\) | 1.23607 | + | 3.80423i | 0.0449554 | + | 0.138358i | ||||
\(757\) | −30.7426 | + | 22.3358i | −1.11736 | + | 0.811810i | −0.983807 | − | 0.179232i | \(-0.942639\pi\) |
−0.133554 | + | 0.991042i | \(0.542639\pi\) | |||||||
\(758\) | −28.0000 | −1.01701 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 8.00000 | 0.290191 | ||||||||
\(761\) | −33.9787 | + | 24.6870i | −1.23173 | + | 0.894902i | −0.997018 | − | 0.0771633i | \(-0.975414\pi\) |
−0.234709 | + | 0.972066i | \(0.575414\pi\) | |||||||
\(762\) | −3.70820 | − | 11.4127i | −0.134334 | − | 0.413438i | ||||
\(763\) | 7.41641 | − | 22.8254i | 0.268492 | − | 0.826333i | ||||
\(764\) | 9.70820 | + | 7.05342i | 0.351230 | + | 0.255184i | ||||
\(765\) | −3.23607 | − | 2.35114i | −0.117000 | − | 0.0850057i | ||||
\(766\) | −1.23607 | + | 3.80423i | −0.0446610 | + | 0.137452i | ||||
\(767\) | −22.2492 | − | 68.4761i | −0.803373 | − | 2.47253i | ||||
\(768\) | 0.809017 | − | 0.587785i | 0.0291929 | − | 0.0212099i | ||||
\(769\) | 10.0000 | 0.360609 | 0.180305 | − | 0.983611i | \(-0.442292\pi\) | ||||
0.180305 | + | 0.983611i | \(0.442292\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −2.00000 | −0.0720282 | ||||||||
\(772\) | −8.09017 | + | 5.87785i | −0.291172 | + | 0.211549i | ||||
\(773\) | 5.56231 | + | 17.1190i | 0.200062 | + | 0.615728i | 0.999880 | + | 0.0154855i | \(0.00492938\pi\) |
−0.799818 | + | 0.600243i | \(0.795071\pi\) | |||||||
\(774\) | 1.23607 | − | 3.80423i | 0.0444295 | − | 0.136740i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 11.3262 | + | 8.22899i | 0.406588 | + | 0.295404i | ||||
\(777\) | 7.41641 | − | 22.8254i | 0.266062 | − | 0.818855i | ||||
\(778\) | −9.27051 | − | 28.5317i | −0.332364 | − | 1.02291i | ||||
\(779\) | 19.4164 | − | 14.1068i | 0.695665 | − | 0.505430i | ||||
\(780\) | 12.0000 | 0.429669 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 8.00000 | 0.286079 | ||||||||
\(783\) | 4.85410 | − | 3.52671i | 0.173471 | − | 0.126034i | ||||
\(784\) | 2.78115 | + | 8.55951i | 0.0993269 | + | 0.305697i | ||||
\(785\) | −6.18034 | + | 19.0211i | −0.220586 | + | 0.678893i | ||||
\(786\) | 3.23607 | + | 2.35114i | 0.115427 | + | 0.0838624i | ||||
\(787\) | 16.1803 | + | 11.7557i | 0.576767 | + | 0.419046i | 0.837557 | − | 0.546350i | \(-0.183983\pi\) |
−0.260790 | + | 0.965395i | \(0.583983\pi\) | |||||||
\(788\) | −0.618034 | + | 1.90211i | −0.0220165 | + | 0.0677600i | ||||
\(789\) | 7.41641 | + | 22.8254i | 0.264031 | + | 0.812604i | ||||
\(790\) | 6.47214 | − | 4.70228i | 0.230268 | − | 0.167300i | ||||
\(791\) | −8.00000 | −0.284447 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 84.0000 | 2.98293 | ||||||||
\(794\) | −17.7984 | + | 12.9313i | −0.631641 | + | 0.458914i | ||||
\(795\) | −1.23607 | − | 3.80423i | −0.0438388 | − | 0.134922i | ||||
\(796\) | −4.94427 | + | 15.2169i | −0.175245 | + | 0.539349i | ||||
\(797\) | 43.6869 | + | 31.7404i | 1.54747 | + | 1.12430i | 0.945425 | + | 0.325841i | \(0.105647\pi\) |
0.602045 | + | 0.798462i | \(0.294353\pi\) | |||||||
\(798\) | −12.9443 | − | 9.40456i | −0.458222 | − | 0.332918i | ||||
\(799\) | −7.41641 | + | 22.8254i | −0.262374 | + | 0.807503i | ||||
\(800\) | −0.309017 | − | 0.951057i | −0.0109254 | − | 0.0336249i | ||||
\(801\) | −8.09017 | + | 5.87785i | −0.285852 | + | 0.207684i | ||||
\(802\) | −38.0000 | −1.34183 | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | −4.00000 | −0.141069 | ||||||||
\(805\) | 25.8885 | − | 18.8091i | 0.912451 | − | 0.662935i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −8.03444 | + | 24.7275i | −0.282826 | + | 0.870448i | ||||
\(808\) | −11.3262 | − | 8.22899i | −0.398456 | − | 0.289495i | ||||
\(809\) | −8.09017 | − | 5.87785i | −0.284435 | − | 0.206654i | 0.436414 | − | 0.899746i | \(-0.356248\pi\) |
−0.720850 | + | 0.693091i | \(0.756248\pi\) | |||||||
\(810\) | 0.618034 | − | 1.90211i | 0.0217155 | − | 0.0668334i | ||||
\(811\) | −8.65248 | − | 26.6296i | −0.303830 | − | 0.935091i | −0.980111 | − | 0.198448i | \(-0.936410\pi\) |
0.676282 | − | 0.736643i | \(-0.263590\pi\) | |||||||
\(812\) | 19.4164 | − | 14.1068i | 0.681382 | − | 0.495053i | ||||
\(813\) | −20.0000 | −0.701431 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −40.0000 | −1.40114 | ||||||||
\(816\) | 1.61803 | − | 1.17557i | 0.0566425 | − | 0.0411532i | ||||
\(817\) | 4.94427 | + | 15.2169i | 0.172978 | + | 0.532372i | ||||
\(818\) | −4.32624 | + | 13.3148i | −0.151263 | + | 0.465541i | ||||
\(819\) | −19.4164 | − | 14.1068i | −0.678464 | − | 0.492933i | ||||
\(820\) | 9.70820 | + | 7.05342i | 0.339025 | + | 0.246316i | ||||
\(821\) | −0.618034 | + | 1.90211i | −0.0215695 | + | 0.0663842i | −0.961262 | − | 0.275637i | \(-0.911111\pi\) |
0.939692 | + | 0.342021i | \(0.111111\pi\) | |||||||
\(822\) | −0.618034 | − | 1.90211i | −0.0215564 | − | 0.0663438i | ||||
\(823\) | 32.3607 | − | 23.5114i | 1.12802 | − | 0.819556i | 0.142617 | − | 0.989778i | \(-0.454448\pi\) |
0.985406 | + | 0.170222i | \(0.0544484\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −48.0000 | −1.67013 | ||||||||
\(827\) | 42.0689 | − | 30.5648i | 1.46288 | − | 1.06284i | 0.480277 | − | 0.877117i | \(-0.340536\pi\) |
0.982601 | − | 0.185726i | \(-0.0594638\pi\) | |||||||
\(828\) | 1.23607 | + | 3.80423i | 0.0429563 | + | 0.132206i | ||||
\(829\) | 14.2148 | − | 43.7486i | 0.493700 | − | 1.51945i | −0.325273 | − | 0.945620i | \(-0.605456\pi\) |
0.818973 | − | 0.573832i | \(-0.194544\pi\) | |||||||
\(830\) | −6.47214 | − | 4.70228i | −0.224651 | − | 0.163219i | ||||
\(831\) | 21.0344 | + | 15.2824i | 0.729677 | + | 0.530141i | ||||
\(832\) | −1.85410 | + | 5.70634i | −0.0642794 | + | 0.197832i | ||||
\(833\) | 5.56231 | + | 17.1190i | 0.192722 | + | 0.593139i | ||||
\(834\) | −3.23607 | + | 2.35114i | −0.112056 | + | 0.0814134i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 9.70820 | − | 7.05342i | 0.335364 | − | 0.243656i | ||||
\(839\) | 3.70820 | + | 11.4127i | 0.128021 | + | 0.394009i | 0.994439 | − | 0.105310i | \(-0.0335835\pi\) |
−0.866418 | + | 0.499319i | \(0.833583\pi\) | |||||||
\(840\) | 2.47214 | − | 7.60845i | 0.0852968 | − | 0.262517i | ||||
\(841\) | −5.66312 | − | 4.11450i | −0.195280 | − | 0.141879i | ||||
\(842\) | 8.09017 | + | 5.87785i | 0.278806 | + | 0.202564i | ||||
\(843\) | 6.79837 | − | 20.9232i | 0.234148 | − | 0.720635i | ||||
\(844\) | −1.23607 | − | 3.80423i | −0.0425472 | − | 0.130947i | ||||
\(845\) | −37.2148 | + | 27.0381i | −1.28023 | + | 0.930140i | ||||
\(846\) | −12.0000 | −0.412568 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 2.00000 | 0.0686803 | ||||||||
\(849\) | 3.23607 | − | 2.35114i | 0.111062 | − | 0.0806910i | ||||
\(850\) | −0.618034 | − | 1.90211i | −0.0211984 | − | 0.0652419i | ||||
\(851\) | 7.41641 | − | 22.8254i | 0.254231 | − | 0.782443i | ||||
\(852\) | −9.70820 | − | 7.05342i | −0.332598 | − | 0.241646i | ||||
\(853\) | 4.85410 | + | 3.52671i | 0.166201 | + | 0.120752i | 0.667777 | − | 0.744362i | \(-0.267246\pi\) |
−0.501576 | + | 0.865114i | \(0.667246\pi\) | |||||||
\(854\) | 17.3050 | − | 53.2592i | 0.592163 | − | 1.82249i | ||||
\(855\) | 2.47214 | + | 7.60845i | 0.0845453 | + | 0.260204i | ||||
\(856\) | −3.23607 | + | 2.35114i | −0.110607 | + | 0.0803603i | ||||
\(857\) | 26.0000 | 0.888143 | 0.444072 | − | 0.895991i | \(-0.353534\pi\) | ||||
0.444072 | + | 0.895991i | \(0.353534\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 4.00000 | 0.136478 | 0.0682391 | − | 0.997669i | \(-0.478262\pi\) | ||||
0.0682391 | + | 0.997669i | \(0.478262\pi\) | |||||||
\(860\) | −6.47214 | + | 4.70228i | −0.220698 | + | 0.160346i | ||||
\(861\) | −7.41641 | − | 22.8254i | −0.252751 | − | 0.777886i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −16.1803 | − | 11.7557i | −0.550785 | − | 0.400169i | 0.277290 | − | 0.960786i | \(-0.410564\pi\) |
−0.828075 | + | 0.560617i | \(0.810564\pi\) | |||||||
\(864\) | 0.809017 | + | 0.587785i | 0.0275233 | + | 0.0199969i | ||||
\(865\) | −6.18034 | + | 19.0211i | −0.210138 | + | 0.646738i | ||||
\(866\) | 0.618034 | + | 1.90211i | 0.0210016 | + | 0.0646364i | ||||
\(867\) | −10.5172 | + | 7.64121i | −0.357184 | + | 0.259509i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | −12.0000 | −0.406838 | ||||||||
\(871\) | 19.4164 | − | 14.1068i | 0.657900 | − | 0.477992i | ||||
\(872\) | −1.85410 | − | 5.70634i | −0.0627878 | − | 0.193241i | ||||
\(873\) | −4.32624 | + | 13.3148i | −0.146421 | + | 0.450637i | ||||
\(874\) | −12.9443 | − | 9.40456i | −0.437847 | − | 0.318114i | ||||
\(875\) | −38.8328 | − | 28.2137i | −1.31279 | − | 0.953797i | ||||
\(876\) | 1.85410 | − | 5.70634i | 0.0626443 | − | 0.192799i | ||||
\(877\) | 12.9787 | + | 39.9444i | 0.438260 | + | 1.34883i | 0.889709 | + | 0.456529i | \(0.150907\pi\) |
−0.451449 | + | 0.892297i | \(0.649093\pi\) | |||||||
\(878\) | −3.23607 | + | 2.35114i | −0.109212 | + | 0.0793472i | ||||
\(879\) | −22.0000 | −0.742042 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −14.0000 | −0.471672 | −0.235836 | − | 0.971793i | \(-0.575783\pi\) | ||||
−0.235836 | + | 0.971793i | \(0.575783\pi\) | |||||||
\(882\) | −7.28115 | + | 5.29007i | −0.245169 | + | 0.178126i | ||||
\(883\) | 1.23607 | + | 3.80423i | 0.0415970 | + | 0.128022i | 0.969698 | − | 0.244305i | \(-0.0785598\pi\) |
−0.928101 | + | 0.372327i | \(0.878560\pi\) | |||||||
\(884\) | −3.70820 | + | 11.4127i | −0.124720 | + | 0.383850i | ||||
\(885\) | 19.4164 | + | 14.1068i | 0.652675 | + | 0.474196i | ||||
\(886\) | −22.6525 | − | 16.4580i | −0.761025 | − | 0.552917i | ||||
\(887\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(888\) | −1.85410 | − | 5.70634i | −0.0622196 | − | 0.191492i | ||||
\(889\) | 38.8328 | − | 28.2137i | 1.30241 | − | 0.946257i | ||||
\(890\) | 20.0000 | 0.670402 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 38.8328 | − | 28.2137i | 1.29949 | − | 0.944135i | ||||
\(894\) | 3.09017 | + | 9.51057i | 0.103351 | + | 0.318081i | ||||
\(895\) | 12.3607 | − | 38.0423i | 0.413172 | − | 1.27161i | ||||
\(896\) | 3.23607 | + | 2.35114i | 0.108109 | + | 0.0785461i | ||||
\(897\) | −19.4164 | − | 14.1068i | −0.648295 | − | 0.471014i | ||||
\(898\) | −6.79837 | + | 20.9232i | −0.226865 | + | 0.698218i | ||||
\(899\) | 0 | 0 | ||||||||
\(900\) | 0.809017 | − | 0.587785i | 0.0269672 | − | 0.0195928i | ||||
\(901\) | 4.00000 | 0.133259 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 16.0000 | 0.532447 | ||||||||
\(904\) | −1.61803 | + | 1.17557i | −0.0538150 | + | 0.0390989i | ||||
\(905\) | −1.23607 | − | 3.80423i | −0.0410883 | − | 0.126457i | ||||
\(906\) | −1.23607 | + | 3.80423i | −0.0410656 | + | 0.126387i | ||||
\(907\) | −22.6525 | − | 16.4580i | −0.752163 | − | 0.546478i | 0.144333 | − | 0.989529i | \(-0.453896\pi\) |
−0.896497 | + | 0.443051i | \(0.853896\pi\) | |||||||
\(908\) | −9.70820 | − | 7.05342i | −0.322178 | − | 0.234076i | ||||
\(909\) | 4.32624 | − | 13.3148i | 0.143492 | − | 0.441624i | ||||
\(910\) | 14.8328 | + | 45.6507i | 0.491703 | + | 1.51331i | ||||
\(911\) | −9.70820 | + | 7.05342i | −0.321647 | + | 0.233690i | −0.736878 | − | 0.676026i | \(-0.763701\pi\) |
0.415231 | + | 0.909716i | \(0.363701\pi\) | |||||||
\(912\) | −4.00000 | −0.132453 | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 34.0000 | 1.12462 | ||||||||
\(915\) | −22.6525 | + | 16.4580i | −0.748868 | + | 0.544084i | ||||
\(916\) | 4.32624 | + | 13.3148i | 0.142943 | + | 0.439933i | ||||
\(917\) | −4.94427 | + | 15.2169i | −0.163274 | + | 0.502506i | ||||
\(918\) | 1.61803 | + | 1.17557i | 0.0534031 | + | 0.0387996i | ||||
\(919\) | 3.23607 | + | 2.35114i | 0.106748 | + | 0.0775570i | 0.639879 | − | 0.768476i | \(-0.278985\pi\) |
−0.533131 | + | 0.846033i | \(0.678985\pi\) | |||||||
\(920\) | 2.47214 | − | 7.60845i | 0.0815039 | − | 0.250843i | ||||
\(921\) | −1.23607 | − | 3.80423i | −0.0407298 | − | 0.125354i | ||||
\(922\) | −11.3262 | + | 8.22899i | −0.373010 | + | 0.271007i | ||||
\(923\) | 72.0000 | 2.36991 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −6.00000 | −0.197279 | ||||||||
\(926\) | 19.4164 | − | 14.1068i | 0.638063 | − | 0.463580i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 1.85410 | − | 5.70634i | 0.0608639 | − | 0.187320i | ||||
\(929\) | −33.9787 | − | 24.6870i | −1.11481 | − | 0.809954i | −0.131392 | − | 0.991331i | \(-0.541945\pi\) |
−0.983414 | + | 0.181377i | \(0.941945\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 11.1246 | − | 34.2380i | 0.364594 | − | 1.12211i | ||||
\(932\) | 3.09017 | + | 9.51057i | 0.101222 | + | 0.311529i | ||||
\(933\) | 3.23607 | − | 2.35114i | 0.105944 | − | 0.0769729i | ||||
\(934\) | 12.0000 | 0.392652 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −6.00000 | −0.196116 | ||||||||
\(937\) | 30.7426 | − | 22.3358i | 1.00432 | − | 0.729680i | 0.0413087 | − | 0.999146i | \(-0.486847\pi\) |
0.963010 | + | 0.269466i | \(0.0868473\pi\) | |||||||
\(938\) | −4.94427 | − | 15.2169i | −0.161436 | − | 0.496850i | ||||
\(939\) | −8.03444 | + | 24.7275i | −0.262194 | + | 0.806950i | ||||
\(940\) | 19.4164 | + | 14.1068i | 0.633293 | + | 0.460115i | ||||
\(941\) | 33.9787 | + | 24.6870i | 1.10767 | + | 0.804773i | 0.982296 | − | 0.187336i | \(-0.0599854\pi\) |
0.125379 | + | 0.992109i | \(0.459985\pi\) | |||||||
\(942\) | 3.09017 | − | 9.51057i | 0.100683 | − | 0.309871i | ||||
\(943\) | −7.41641 | − | 22.8254i | −0.241511 | − | 0.743296i | ||||
\(944\) | −9.70820 | + | 7.05342i | −0.315975 | + | 0.229569i | ||||
\(945\) | 8.00000 | 0.260240 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 12.0000 | 0.389948 | 0.194974 | − | 0.980808i | \(-0.437538\pi\) | ||||
0.194974 | + | 0.980808i | \(0.437538\pi\) | |||||||
\(948\) | −3.23607 | + | 2.35114i | −0.105103 | + | 0.0763615i | ||||
\(949\) | 11.1246 | + | 34.2380i | 0.361120 | + | 1.11141i | ||||
\(950\) | −1.23607 | + | 3.80423i | −0.0401033 | + | 0.123425i | ||||
\(951\) | 14.5623 | + | 10.5801i | 0.472215 | + | 0.343084i | ||||
\(952\) | 6.47214 | + | 4.70228i | 0.209763 | + | 0.152402i | ||||
\(953\) | −1.85410 | + | 5.70634i | −0.0600603 | + | 0.184846i | −0.976585 | − | 0.215131i | \(-0.930982\pi\) |
0.916525 | + | 0.399978i | \(0.130982\pi\) | |||||||
\(954\) | 0.618034 | + | 1.90211i | 0.0200096 | + | 0.0615832i | ||||
\(955\) | 19.4164 | − | 14.1068i | 0.628300 | − | 0.456487i | ||||
\(956\) | 8.00000 | 0.258738 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 6.47214 | − | 4.70228i | 0.208996 | − | 0.151845i | ||||
\(960\) | −0.618034 | − | 1.90211i | −0.0199470 | − | 0.0613904i | ||||
\(961\) | −9.57953 | + | 29.4828i | −0.309017 | + | 0.951057i | ||||
\(962\) | 29.1246 | + | 21.1603i | 0.939015 | + | 0.682234i | ||||
\(963\) | −3.23607 | − | 2.35114i | −0.104281 | − | 0.0757645i | ||||
\(964\) | 3.09017 | − | 9.51057i | 0.0995277 | − | 0.306315i | ||||
\(965\) | 6.18034 | + | 19.0211i | 0.198952 | + | 0.612312i | ||||
\(966\) | −12.9443 | + | 9.40456i | −0.416475 | + | 0.302587i | ||||
\(967\) | −44.0000 | −1.41494 | −0.707472 | − | 0.706741i | \(-0.750165\pi\) | ||||
−0.707472 | + | 0.706741i | \(0.750165\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −8.00000 | −0.256997 | ||||||||
\(970\) | 22.6525 | − | 16.4580i | 0.727327 | − | 0.528434i | ||||
\(971\) | 3.70820 | + | 11.4127i | 0.119002 | + | 0.366250i | 0.992761 | − | 0.120109i | \(-0.0383245\pi\) |
−0.873759 | + | 0.486360i | \(0.838325\pi\) | |||||||
\(972\) | −0.309017 | + | 0.951057i | −0.00991172 | + | 0.0305052i | ||||
\(973\) | −12.9443 | − | 9.40456i | −0.414974 | − | 0.301496i | ||||
\(974\) | 12.9443 | + | 9.40456i | 0.414761 | + | 0.301342i | ||||
\(975\) | −1.85410 | + | 5.70634i | −0.0593788 | + | 0.182749i | ||||
\(976\) | −4.32624 | − | 13.3148i | −0.138480 | − | 0.426196i | ||||
\(977\) | −21.0344 | + | 15.2824i | −0.672951 | + | 0.488928i | −0.871012 | − | 0.491262i | \(-0.836536\pi\) |
0.198060 | + | 0.980190i | \(0.436536\pi\) | |||||||
\(978\) | 20.0000 | 0.639529 | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 18.0000 | 0.574989 | ||||||||
\(981\) | 4.85410 | − | 3.52671i | 0.154980 | − | 0.112599i | ||||
\(982\) | −8.65248 | − | 26.6296i | −0.276112 | − | 0.849784i | ||||
\(983\) | 11.1246 | − | 34.2380i | 0.354820 | − | 1.09202i | −0.601294 | − | 0.799028i | \(-0.705348\pi\) |
0.956114 | − | 0.292996i | \(-0.0946522\pi\) | |||||||
\(984\) | −4.85410 | − | 3.52671i | −0.154743 | − | 0.112427i | ||||
\(985\) | 3.23607 | + | 2.35114i | 0.103110 | + | 0.0749136i | ||||
\(986\) | 3.70820 | − | 11.4127i | 0.118093 | − | 0.363454i | ||||
\(987\) | −14.8328 | − | 45.6507i | −0.472134 | − | 1.45308i | ||||
\(988\) | 19.4164 | − | 14.1068i | 0.617718 | − | 0.448799i | ||||
\(989\) | 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 | ||||||||
\(993\) | −6.18034 | − | 19.0211i | −0.196127 | − | 0.603617i | ||||
\(994\) | 14.8328 | − | 45.6507i | 0.470468 | − | 1.44795i | ||||
\(995\) | 25.8885 | + | 18.8091i | 0.820722 | + | 0.596289i | ||||
\(996\) | 3.23607 | + | 2.35114i | 0.102539 | + | 0.0744988i | ||||
\(997\) | −4.32624 | + | 13.3148i | −0.137013 | + | 0.421684i | −0.995898 | − | 0.0904858i | \(-0.971158\pi\) |
0.858884 | + | 0.512169i | \(0.171158\pi\) | |||||||
\(998\) | −1.23607 | − | 3.80423i | −0.0391270 | − | 0.120421i | ||||
\(999\) | 4.85410 | − | 3.52671i | 0.153577 | − | 0.111580i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))