Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(82,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.e (of order \(9\), degree \(6\), 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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\Q(\zeta_{36})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{6} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3^{3} \) |
Twist minimal: | no (minimal twist has level 243) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 82.1 | ||
Root | \(0.984808 + 0.173648i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.82 |
Dual form | 729.2.e.n.649.1 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.300767 | − | 1.70574i | −0.212675 | − | 1.20614i | −0.884896 | − | 0.465788i | \(-0.845771\pi\) |
0.672222 | − | 0.740350i | \(-0.265340\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.939693 | + | 0.342020i | −0.469846 | + | 0.171010i | ||||
\(5\) | −2.65366 | − | 2.22668i | −1.18675 | − | 0.995802i | −0.999910 | − | 0.0134121i | \(-0.995731\pi\) |
−0.186841 | − | 0.982390i | \(-0.559825\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.939693 | + | 0.342020i | 0.355170 | + | 0.129271i | 0.513442 | − | 0.858124i | \(-0.328370\pi\) |
−0.158272 | + | 0.987396i | \(0.550592\pi\) | |||||||
\(8\) | −0.866025 | − | 1.50000i | −0.306186 | − | 0.530330i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.00000 | + | 5.19615i | −0.948683 | + | 1.64317i | ||||
\(11\) | 2.65366 | − | 2.22668i | 0.800107 | − | 0.671370i | −0.148117 | − | 0.988970i | \(-0.547321\pi\) |
0.948225 | + | 0.317600i | \(0.102877\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.868241 | − | 4.92404i | 0.240807 | − | 1.36568i | −0.589226 | − | 0.807968i | \(-0.700567\pi\) |
0.830033 | − | 0.557714i | \(-0.188322\pi\) | |||||||
\(14\) | 0.300767 | − | 1.70574i | 0.0803835 | − | 0.455877i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.83022 | + | 3.21394i | −0.957556 | + | 0.803485i | ||||
\(17\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.500000 | + | 0.866025i | 0.114708 | + | 0.198680i | 0.917663 | − | 0.397360i | \(-0.130073\pi\) |
−0.802955 | + | 0.596040i | \(0.796740\pi\) | |||||||
\(20\) | 3.25519 | + | 1.18479i | 0.727883 | + | 0.264928i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −4.59627 | − | 3.85673i | −0.979927 | − | 0.822257i | ||||
\(23\) | −6.51038 | + | 2.36959i | −1.35751 | + | 0.494093i | −0.915283 | − | 0.402811i | \(-0.868033\pi\) |
−0.442225 | + | 0.896904i | \(0.645811\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.21554 | + | 6.89365i | 0.243107 | + | 1.37873i | ||||
\(26\) | −8.66025 | −1.69842 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.00000 | −0.188982 | ||||||||
\(29\) | 0.601535 | + | 3.41147i | 0.111702 | + | 0.633495i | 0.988330 | + | 0.152326i | \(0.0486764\pi\) |
−0.876628 | + | 0.481169i | \(0.840212\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.69846 | + | 1.71010i | −0.843869 | + | 0.307143i | −0.727538 | − | 0.686067i | \(-0.759336\pi\) |
−0.116331 | + | 0.993211i | \(0.537113\pi\) | |||||||
\(32\) | 3.98048 | + | 3.34002i | 0.703657 | + | 0.590438i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.73205 | − | 3.00000i | −0.292770 | − | 0.507093i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.500000 | − | 0.866025i | 0.0821995 | − | 0.142374i | −0.821995 | − | 0.569495i | \(-0.807139\pi\) |
0.904194 | + | 0.427121i | \(0.140472\pi\) | |||||||
\(38\) | 1.32683 | − | 1.11334i | 0.215240 | − | 0.180608i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.04189 | + | 5.90885i | −0.164737 | + | 0.934271i | ||||
\(41\) | −0.601535 | + | 3.41147i | −0.0939440 | + | 0.532783i | 0.901122 | + | 0.433566i | \(0.142745\pi\) |
−0.995066 | + | 0.0992168i | \(0.968366\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.766044 | + | 0.642788i | −0.116821 | + | 0.0980242i | −0.699327 | − | 0.714802i | \(-0.746517\pi\) |
0.582506 | + | 0.812826i | \(0.302072\pi\) | |||||||
\(44\) | −1.73205 | + | 3.00000i | −0.261116 | + | 0.452267i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.00000 | + | 10.3923i | 0.884652 | + | 1.53226i | ||||
\(47\) | −3.25519 | − | 1.18479i | −0.474818 | − | 0.172820i | 0.0935154 | − | 0.995618i | \(-0.470190\pi\) |
−0.568334 | + | 0.822798i | \(0.692412\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.59627 | − | 3.85673i | −0.656610 | − | 0.550961i | ||||
\(50\) | 11.3932 | − | 4.14677i | 1.61124 | − | 0.586442i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.868241 | + | 4.92404i | 0.120403 | + | 0.682841i | ||||
\(53\) | 10.3923 | 1.42749 | 0.713746 | − | 0.700404i | \(-0.246997\pi\) | ||||
0.713746 | + | 0.700404i | \(0.246997\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −12.0000 | −1.61808 | ||||||||
\(56\) | −0.300767 | − | 1.70574i | −0.0401917 | − | 0.227939i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 5.63816 | − | 2.05212i | 0.740326 | − | 0.269457i | ||||
\(59\) | −2.65366 | − | 2.22668i | −0.345477 | − | 0.289889i | 0.453494 | − | 0.891259i | \(-0.350177\pi\) |
−0.798971 | + | 0.601370i | \(0.794622\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.87939 | − | 0.684040i | −0.240631 | − | 0.0875824i | 0.218890 | − | 0.975750i | \(-0.429756\pi\) |
−0.459520 | + | 0.888167i | \(0.651979\pi\) | |||||||
\(62\) | 4.33013 | + | 7.50000i | 0.549927 | + | 0.952501i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −13.2683 | + | 11.1334i | −1.64573 | + | 1.38093i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.38919 | − | 7.87846i | 0.169716 | − | 0.962507i | −0.774352 | − | 0.632756i | \(-0.781924\pi\) |
0.944068 | − | 0.329752i | \(-0.106965\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −4.59627 | + | 3.85673i | −0.549359 | + | 0.460967i | ||||
\(71\) | 5.19615 | − | 9.00000i | 0.616670 | − | 1.06810i | −0.373419 | − | 0.927663i | \(-0.621815\pi\) |
0.990089 | − | 0.140441i | \(-0.0448520\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.00000 | − | 1.73205i | −0.117041 | − | 0.202721i | 0.801553 | − | 0.597924i | \(-0.204008\pi\) |
−0.918594 | + | 0.395203i | \(0.870674\pi\) | |||||||
\(74\) | −1.62760 | − | 0.592396i | −0.189204 | − | 0.0688647i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.766044 | − | 0.642788i | −0.0878713 | − | 0.0737328i | ||||
\(77\) | 3.25519 | − | 1.18479i | 0.370963 | − | 0.135020i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.173648 | − | 0.984808i | −0.0195369 | − | 0.110800i | 0.973480 | − | 0.228773i | \(-0.0734713\pi\) |
−0.993017 | + | 0.117973i | \(0.962360\pi\) | |||||||
\(80\) | 17.3205 | 1.93649 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 6.00000 | 0.662589 | ||||||||
\(83\) | −1.20307 | − | 6.82295i | −0.132054 | − | 0.748916i | −0.976866 | − | 0.213852i | \(-0.931399\pi\) |
0.844812 | − | 0.535063i | \(-0.179712\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 1.32683 | + | 1.11334i | 0.143076 | + | 0.120055i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −5.63816 | − | 2.05212i | −0.601029 | − | 0.218757i | ||||
\(89\) | 5.19615 | + | 9.00000i | 0.550791 | + | 0.953998i | 0.998218 | + | 0.0596775i | \(0.0190072\pi\) |
−0.447427 | + | 0.894321i | \(0.647659\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.50000 | − | 4.33013i | 0.262071 | − | 0.453921i | ||||
\(92\) | 5.30731 | − | 4.45336i | 0.553325 | − | 0.464295i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.04189 | + | 5.90885i | −0.107463 | + | 0.609451i | ||||
\(95\) | 0.601535 | − | 3.41147i | 0.0617162 | − | 0.350010i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 13.0228 | − | 10.9274i | 1.32226 | − | 1.10951i | 0.336440 | − | 0.941705i | \(-0.390777\pi\) |
0.985820 | − | 0.167803i | \(-0.0536674\pi\) | |||||||
\(98\) | −5.19615 | + | 9.00000i | −0.524891 | + | 0.909137i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.50000 | − | 6.06218i | −0.350000 | − | 0.606218i | ||||
\(101\) | −13.0208 | − | 4.73917i | −1.29561 | − | 0.471565i | −0.400048 | − | 0.916494i | \(-0.631007\pi\) |
−0.895566 | + | 0.444929i | \(0.853229\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.12836 | + | 5.14230i | 0.603845 | + | 0.506686i | 0.892679 | − | 0.450693i | \(-0.148823\pi\) |
−0.288834 | + | 0.957379i | \(0.593268\pi\) | |||||||
\(104\) | −8.13798 | + | 2.96198i | −0.797994 | + | 0.290446i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −3.12567 | − | 17.7265i | −0.303592 | − | 1.72175i | ||||
\(107\) | −10.3923 | −1.00466 | −0.502331 | − | 0.864675i | \(-0.667524\pi\) | ||||
−0.502331 | + | 0.864675i | \(0.667524\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 17.0000 | 1.62830 | 0.814152 | − | 0.580651i | \(-0.197202\pi\) | ||||
0.814152 | + | 0.580651i | \(0.197202\pi\) | |||||||
\(110\) | 3.60921 | + | 20.4688i | 0.344125 | + | 1.95163i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −4.69846 | + | 1.71010i | −0.443963 | + | 0.161589i | ||||
\(113\) | 13.2683 | + | 11.1334i | 1.24817 | + | 1.04734i | 0.996839 | + | 0.0794428i | \(0.0253141\pi\) |
0.251335 | + | 0.967900i | \(0.419130\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 22.5526 | + | 8.20848i | 2.10304 | + | 0.765445i | ||||
\(116\) | −1.73205 | − | 3.00000i | −0.160817 | − | 0.278543i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −3.00000 | + | 5.19615i | −0.276172 | + | 0.478345i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.173648 | − | 0.984808i | 0.0157862 | − | 0.0895280i | ||||
\(122\) | −0.601535 | + | 3.41147i | −0.0544604 | + | 0.308860i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.83022 | − | 3.21394i | 0.343964 | − | 0.288620i | ||||
\(125\) | 3.46410 | − | 6.00000i | 0.309839 | − | 0.536656i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.50000 | − | 14.7224i | −0.754253 | − | 1.30640i | −0.945745 | − | 0.324910i | \(-0.894666\pi\) |
0.191492 | − | 0.981494i | \(-0.438667\pi\) | |||||||
\(128\) | 11.3932 | + | 4.14677i | 1.00702 | + | 0.366526i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 22.9813 | + | 19.2836i | 2.01560 | + | 1.69129i | ||||
\(131\) | 3.25519 | − | 1.18479i | 0.284407 | − | 0.103516i | −0.195878 | − | 0.980628i | \(-0.562756\pi\) |
0.480285 | + | 0.877113i | \(0.340533\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.173648 | + | 0.984808i | 0.0150572 | + | 0.0853937i | ||||
\(134\) | −13.8564 | −1.19701 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −1.20307 | − | 6.82295i | −0.102785 | − | 0.582924i | −0.992082 | − | 0.125593i | \(-0.959917\pi\) |
0.889297 | − | 0.457331i | \(-0.151194\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 12.2160 | − | 4.44626i | 1.03615 | − | 0.377127i | 0.232729 | − | 0.972542i | \(-0.425234\pi\) |
0.803419 | + | 0.595415i | \(0.203012\pi\) | |||||||
\(140\) | 2.65366 | + | 2.22668i | 0.224275 | + | 0.188189i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −16.9145 | − | 6.15636i | −1.41943 | − | 0.516630i | ||||
\(143\) | −8.66025 | − | 15.0000i | −0.724207 | − | 1.25436i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 6.00000 | − | 10.3923i | 0.498273 | − | 0.863034i | ||||
\(146\) | −2.65366 | + | 2.22668i | −0.219618 | + | 0.184281i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.173648 | + | 0.984808i | −0.0142738 | + | 0.0809507i | ||||
\(149\) | 1.20307 | − | 6.82295i | 0.0985593 | − | 0.558958i | −0.895039 | − | 0.445988i | \(-0.852852\pi\) |
0.993598 | − | 0.112970i | \(-0.0360364\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −12.2567 | + | 10.2846i | −0.997437 | + | 0.836949i | −0.986627 | − | 0.162993i | \(-0.947885\pi\) |
−0.0108097 | + | 0.999942i | \(0.503441\pi\) | |||||||
\(152\) | 0.866025 | − | 1.50000i | 0.0702439 | − | 0.121666i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −3.00000 | − | 5.19615i | −0.241747 | − | 0.418718i | ||||
\(155\) | 16.2760 | + | 5.92396i | 1.30732 | + | 0.475824i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −9.95858 | − | 8.35624i | −0.794781 | − | 0.666900i | 0.152143 | − | 0.988359i | \(-0.451383\pi\) |
−0.946924 | + | 0.321458i | \(0.895827\pi\) | |||||||
\(158\) | −1.62760 | + | 0.592396i | −0.129485 | + | 0.0471285i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −3.12567 | − | 17.7265i | −0.247106 | − | 1.40141i | ||||
\(161\) | −6.92820 | −0.546019 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.00000 | −0.0783260 | −0.0391630 | − | 0.999233i | \(-0.512469\pi\) | ||||
−0.0391630 | + | 0.999233i | \(0.512469\pi\) | |||||||
\(164\) | −0.601535 | − | 3.41147i | −0.0469720 | − | 0.266391i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −11.2763 | + | 4.10424i | −0.875212 | + | 0.318551i | ||||
\(167\) | −18.5756 | − | 15.5868i | −1.43742 | − | 1.20614i | −0.941157 | − | 0.337970i | \(-0.890260\pi\) |
−0.496265 | − | 0.868171i | \(-0.665296\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −11.2763 | − | 4.10424i | −0.867409 | − | 0.315711i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.500000 | − | 0.866025i | 0.0381246 | − | 0.0660338i | ||||
\(173\) | 10.6146 | − | 8.90673i | 0.807015 | − | 0.677166i | −0.142878 | − | 0.989740i | \(-0.545636\pi\) |
0.949893 | + | 0.312574i | \(0.101191\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.21554 | + | 6.89365i | −0.0918860 | + | 0.521111i | ||||
\(176\) | −3.00767 | + | 17.0574i | −0.226712 | + | 1.28575i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 13.7888 | − | 11.5702i | 1.03351 | − | 0.867221i | ||||
\(179\) | −10.3923 | + | 18.0000i | −0.776757 | + | 1.34538i | 0.157044 | + | 0.987592i | \(0.449804\pi\) |
−0.933801 | + | 0.357792i | \(0.883530\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −8.50000 | − | 14.7224i | −0.631800 | − | 1.09431i | −0.987184 | − | 0.159589i | \(-0.948983\pi\) |
0.355383 | − | 0.934721i | \(-0.384350\pi\) | |||||||
\(182\) | −8.13798 | − | 2.96198i | −0.603227 | − | 0.219557i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 9.19253 | + | 7.71345i | 0.677683 | + | 0.568643i | ||||
\(185\) | −3.25519 | + | 1.18479i | −0.239326 | + | 0.0871077i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 3.46410 | 0.252646 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −6.00000 | −0.435286 | ||||||||
\(191\) | −1.20307 | − | 6.82295i | −0.0870511 | − | 0.493691i | −0.996895 | − | 0.0787408i | \(-0.974910\pi\) |
0.909844 | − | 0.414950i | \(-0.136201\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 9.39693 | − | 3.42020i | 0.676406 | − | 0.246191i | 0.0191021 | − | 0.999818i | \(-0.493919\pi\) |
0.657303 | + | 0.753626i | \(0.271697\pi\) | |||||||
\(194\) | −22.5561 | − | 18.9268i | −1.61943 | − | 1.35886i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 5.63816 | + | 2.05212i | 0.402725 | + | 0.146580i | ||||
\(197\) | −5.19615 | − | 9.00000i | −0.370211 | − | 0.641223i | 0.619387 | − | 0.785086i | \(-0.287381\pi\) |
−0.989598 | + | 0.143862i | \(0.954048\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.50000 | − | 16.4545i | 0.673437 | − | 1.16643i | −0.303486 | − | 0.952836i | \(-0.598151\pi\) |
0.976923 | − | 0.213591i | \(-0.0685161\pi\) | |||||||
\(200\) | 9.28780 | − | 7.79339i | 0.656746 | − | 0.551076i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −4.16756 | + | 23.6354i | −0.293228 | + | 1.66298i | ||||
\(203\) | −0.601535 | + | 3.41147i | −0.0422195 | + | 0.239439i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 9.19253 | − | 7.71345i | 0.642034 | − | 0.538731i | ||||
\(206\) | 6.92820 | − | 12.0000i | 0.482711 | − | 0.836080i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 12.5000 | + | 21.6506i | 0.866719 | + | 1.50120i | ||||
\(209\) | 3.25519 | + | 1.18479i | 0.225166 | + | 0.0819538i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.83022 | + | 3.21394i | 0.263683 | + | 0.221257i | 0.765038 | − | 0.643985i | \(-0.222720\pi\) |
−0.501354 | + | 0.865242i | \(0.667165\pi\) | |||||||
\(212\) | −9.76557 | + | 3.55438i | −0.670702 | + | 0.244116i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.12567 | + | 17.7265i | 0.213666 | + | 1.21176i | ||||
\(215\) | 3.46410 | 0.236250 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.00000 | −0.339422 | ||||||||
\(218\) | −5.11305 | − | 28.9975i | −0.346299 | − | 1.96396i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 11.2763 | − | 4.10424i | 0.760249 | − | 0.276708i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 17.8542 | + | 6.49838i | 1.19560 | + | 0.435164i | 0.861688 | − | 0.507439i | \(-0.169408\pi\) |
0.333915 | + | 0.942603i | \(0.391630\pi\) | |||||||
\(224\) | 2.59808 | + | 4.50000i | 0.173591 | + | 0.300669i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 15.0000 | − | 25.9808i | 0.997785 | − | 1.72821i | ||||
\(227\) | 10.6146 | − | 8.90673i | 0.704517 | − | 0.591160i | −0.218538 | − | 0.975829i | \(-0.570129\pi\) |
0.923055 | + | 0.384668i | \(0.125684\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.868241 | − | 4.92404i | 0.0573750 | − | 0.325390i | −0.942588 | − | 0.333957i | \(-0.891616\pi\) |
0.999963 | + | 0.00856731i | \(0.00272709\pi\) | |||||||
\(230\) | 7.21842 | − | 40.9377i | 0.475968 | − | 2.69935i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 4.59627 | − | 3.85673i | 0.301760 | − | 0.253206i | ||||
\(233\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 6.00000 | + | 10.3923i | 0.391397 | + | 0.677919i | ||||
\(236\) | 3.25519 | + | 1.18479i | 0.211895 | + | 0.0771234i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −6.51038 | + | 2.36959i | −0.421122 | + | 0.153276i | −0.543884 | − | 0.839160i | \(-0.683047\pi\) |
0.122763 | + | 0.992436i | \(0.460825\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −3.29932 | − | 18.7113i | −0.212528 | − | 1.20530i | −0.885146 | − | 0.465314i | \(-0.845941\pi\) |
0.672618 | − | 0.739990i | \(-0.265170\pi\) | |||||||
\(242\) | −1.73205 | −0.111340 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 2.00000 | 0.128037 | ||||||||
\(245\) | 3.60921 | + | 20.4688i | 0.230584 | + | 1.30771i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.69846 | − | 1.71010i | 0.298956 | − | 0.108811i | ||||
\(248\) | 6.63414 | + | 5.56670i | 0.421268 | + | 0.353486i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −11.2763 | − | 4.10424i | −0.713177 | − | 0.259575i | ||||
\(251\) | 10.3923 | + | 18.0000i | 0.655956 | + | 1.13615i | 0.981653 | + | 0.190676i | \(0.0610679\pi\) |
−0.325697 | + | 0.945474i | \(0.605599\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −12.0000 | + | 20.7846i | −0.754434 | + | 1.30672i | ||||
\(254\) | −22.5561 | + | 18.9268i | −1.41529 | + | 1.18757i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 3.29932 | − | 18.7113i | 0.206207 | − | 1.16946i | ||||
\(257\) | −0.601535 | + | 3.41147i | −0.0375227 | + | 0.212802i | −0.997804 | − | 0.0662307i | \(-0.978903\pi\) |
0.960282 | + | 0.279033i | \(0.0900138\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.766044 | − | 0.642788i | 0.0475997 | − | 0.0399409i | ||||
\(260\) | 8.66025 | − | 15.0000i | 0.537086 | − | 0.930261i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −3.00000 | − | 5.19615i | −0.185341 | − | 0.321019i | ||||
\(263\) | −13.0208 | − | 4.73917i | −0.802895 | − | 0.292230i | −0.0922092 | − | 0.995740i | \(-0.529393\pi\) |
−0.710685 | + | 0.703510i | \(0.751615\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −27.5776 | − | 23.1404i | −1.69408 | − | 1.42150i | ||||
\(266\) | 1.62760 | − | 0.592396i | 0.0997943 | − | 0.0363221i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.38919 | + | 7.87846i | 0.0848580 | + | 0.481254i | ||||
\(269\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −16.0000 | −0.971931 | −0.485965 | − | 0.873978i | \(-0.661532\pi\) | ||||
−0.485965 | + | 0.873978i | \(0.661532\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −11.2763 | + | 4.10424i | −0.681227 | + | 0.247946i | ||||
\(275\) | 18.5756 | + | 15.5868i | 1.12015 | + | 0.939918i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −15.9748 | − | 5.81434i | −0.959831 | − | 0.349350i | −0.185864 | − | 0.982576i | \(-0.559508\pi\) |
−0.773967 | + | 0.633226i | \(0.781731\pi\) | |||||||
\(278\) | −11.2583 | − | 19.5000i | −0.675230 | − | 1.16953i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −3.00000 | + | 5.19615i | −0.179284 | + | 0.310530i | ||||
\(281\) | 10.6146 | − | 8.90673i | 0.633215 | − | 0.531331i | −0.268711 | − | 0.963221i | \(-0.586598\pi\) |
0.901926 | + | 0.431890i | \(0.142153\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.25743 | + | 12.8025i | −0.134190 | + | 0.761030i | 0.841230 | + | 0.540677i | \(0.181832\pi\) |
−0.975420 | + | 0.220353i | \(0.929279\pi\) | |||||||
\(284\) | −1.80460 | + | 10.2344i | −0.107084 | + | 0.607301i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −22.9813 | + | 19.2836i | −1.35891 | + | 1.14026i | ||||
\(287\) | −1.73205 | + | 3.00000i | −0.102240 | + | 0.177084i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.50000 | + | 14.7224i | 0.500000 | + | 0.866025i | ||||
\(290\) | −19.5311 | − | 7.10876i | −1.14691 | − | 0.417440i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 1.53209 | + | 1.28558i | 0.0896587 | + | 0.0752326i | ||||
\(293\) | 13.0208 | − | 4.73917i | 0.760681 | − | 0.276865i | 0.0675880 | − | 0.997713i | \(-0.478470\pi\) |
0.693093 | + | 0.720848i | \(0.256247\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.08378 | + | 11.8177i | 0.121322 | + | 0.688053i | ||||
\(296\) | −1.73205 | −0.100673 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −12.0000 | −0.695141 | ||||||||
\(299\) | 6.01535 | + | 34.1147i | 0.347877 | + | 1.97291i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.939693 | + | 0.342020i | −0.0541630 | + | 0.0197137i | ||||
\(302\) | 21.2292 | + | 17.8135i | 1.22161 | + | 1.02505i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −4.69846 | − | 1.71010i | −0.269475 | − | 0.0980810i | ||||
\(305\) | 3.46410 | + | 6.00000i | 0.198354 | + | 0.343559i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −10.0000 | + | 17.3205i | −0.570730 | + | 0.988534i | 0.425761 | + | 0.904836i | \(0.360006\pi\) |
−0.996491 | + | 0.0836980i | \(0.973327\pi\) | |||||||
\(308\) | −2.65366 | + | 2.22668i | −0.151206 | + | 0.126877i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 5.20945 | − | 29.5442i | 0.295877 | − | 1.67800i | ||||
\(311\) | −2.40614 | + | 13.6459i | −0.136440 | + | 0.773788i | 0.837407 | + | 0.546580i | \(0.184071\pi\) |
−0.973846 | + | 0.227208i | \(0.927040\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.766044 | + | 0.642788i | −0.0432994 | + | 0.0363325i | −0.664181 | − | 0.747572i | \(-0.731219\pi\) |
0.620881 | + | 0.783905i | \(0.286775\pi\) | |||||||
\(314\) | −11.2583 | + | 19.5000i | −0.635344 | + | 1.10045i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.500000 | + | 0.866025i | 0.0281272 | + | 0.0487177i | ||||
\(317\) | 26.0415 | + | 9.47834i | 1.46264 | + | 0.532357i | 0.946091 | − | 0.323902i | \(-0.104995\pi\) |
0.516547 | + | 0.856259i | \(0.327217\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 9.19253 | + | 7.71345i | 0.514683 | + | 0.431870i | ||||
\(320\) | 3.25519 | − | 1.18479i | 0.181971 | − | 0.0662319i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 2.08378 | + | 11.8177i | 0.116124 | + | 0.658574i | ||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 35.0000 | 1.94145 | ||||||||
\(326\) | 0.300767 | + | 1.70574i | 0.0166580 | + | 0.0944720i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 5.63816 | − | 2.05212i | 0.311315 | − | 0.113309i | ||||
\(329\) | −2.65366 | − | 2.22668i | −0.146301 | − | 0.122761i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 17.8542 | + | 6.49838i | 0.981353 | + | 0.357183i | 0.782366 | − | 0.622819i | \(-0.214013\pi\) |
0.198987 | + | 0.980002i | \(0.436235\pi\) | |||||||
\(332\) | 3.46410 | + | 6.00000i | 0.190117 | + | 0.329293i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −21.0000 | + | 36.3731i | −1.14907 | + | 1.99025i | ||||
\(335\) | −21.2292 | + | 17.8135i | −1.15988 | + | 0.973253i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.868241 | − | 4.92404i | 0.0472961 | − | 0.268229i | −0.951985 | − | 0.306145i | \(-0.900961\pi\) |
0.999281 | + | 0.0379157i | \(0.0120718\pi\) | |||||||
\(338\) | −3.60921 | + | 20.4688i | −0.196315 | + | 1.11336i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −8.66025 | + | 15.0000i | −0.468979 | + | 0.812296i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −6.50000 | − | 11.2583i | −0.350967 | − | 0.607893i | ||||
\(344\) | 1.62760 | + | 0.592396i | 0.0877541 | + | 0.0319399i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −18.3851 | − | 15.4269i | −0.988387 | − | 0.829355i | ||||
\(347\) | 22.7863 | − | 8.29355i | 1.22323 | − | 0.445221i | 0.351959 | − | 0.936015i | \(-0.385516\pi\) |
0.871275 | + | 0.490794i | \(0.163293\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −0.173648 | − | 0.984808i | −0.00929517 | − | 0.0527156i | 0.979807 | − | 0.199944i | \(-0.0640759\pi\) |
−0.989103 | + | 0.147228i | \(0.952965\pi\) | |||||||
\(350\) | 12.1244 | 0.648074 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 18.0000 | 0.959403 | ||||||||
\(353\) | −3.00767 | − | 17.0574i | −0.160082 | − | 0.907872i | −0.953991 | − | 0.299835i | \(-0.903068\pi\) |
0.793909 | − | 0.608037i | \(-0.208043\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −33.8289 | + | 12.3127i | −1.79545 | + | 0.653492i | ||||
\(356\) | −7.96097 | − | 6.68004i | −0.421930 | − | 0.354042i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 33.8289 | + | 12.3127i | 1.78791 | + | 0.650748i | ||||
\(359\) | 15.5885 | + | 27.0000i | 0.822727 | + | 1.42501i | 0.903644 | + | 0.428285i | \(0.140882\pi\) |
−0.0809166 | + | 0.996721i | \(0.525785\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.00000 | − | 15.5885i | 0.473684 | − | 0.820445i | ||||
\(362\) | −22.5561 | + | 18.9268i | −1.18552 | + | 0.994770i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.868241 | + | 4.92404i | −0.0455082 | + | 0.258090i | ||||
\(365\) | −1.20307 | + | 6.82295i | −0.0629716 | + | 0.357129i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −12.2567 | + | 10.2846i | −0.639795 | + | 0.536852i | −0.903955 | − | 0.427627i | \(-0.859350\pi\) |
0.264160 | + | 0.964479i | \(0.414905\pi\) | |||||||
\(368\) | 17.3205 | − | 30.0000i | 0.902894 | − | 1.56386i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 3.00000 | + | 5.19615i | 0.155963 | + | 0.270135i | ||||
\(371\) | 9.76557 | + | 3.55438i | 0.507003 | + | 0.184534i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 17.6190 | + | 14.7841i | 0.912278 | + | 0.765492i | 0.972551 | − | 0.232689i | \(-0.0747526\pi\) |
−0.0602727 | + | 0.998182i | \(0.519197\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.04189 | + | 5.90885i | 0.0537313 | + | 0.304725i | ||||
\(377\) | 17.3205 | 0.892052 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −19.0000 | −0.975964 | −0.487982 | − | 0.872854i | \(-0.662267\pi\) | ||||
−0.487982 | + | 0.872854i | \(0.662267\pi\) | |||||||
\(380\) | 0.601535 | + | 3.41147i | 0.0308581 | + | 0.175005i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −11.2763 | + | 4.10424i | −0.576946 | + | 0.209991i | ||||
\(383\) | 13.2683 | + | 11.1334i | 0.677977 | + | 0.568891i | 0.915415 | − | 0.402512i | \(-0.131863\pi\) |
−0.237437 | + | 0.971403i | \(0.576307\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −11.2763 | − | 4.10424i | −0.574694 | − | 0.209172i | ||||
\(386\) | −8.66025 | − | 15.0000i | −0.440795 | − | 0.763480i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −8.50000 | + | 14.7224i | −0.431522 | + | 0.747418i | ||||
\(389\) | −5.30731 | + | 4.45336i | −0.269091 | + | 0.225794i | −0.767341 | − | 0.641239i | \(-0.778421\pi\) |
0.498250 | + | 0.867034i | \(0.333976\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | −1.80460 | + | 10.2344i | −0.0911463 | + | 0.516916i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −13.7888 | + | 11.5702i | −0.694670 | + | 0.582897i | ||||
\(395\) | −1.73205 | + | 3.00000i | −0.0871489 | + | 0.150946i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0.500000 | + | 0.866025i | 0.0250943 | + | 0.0434646i | 0.878300 | − | 0.478110i | \(-0.158678\pi\) |
−0.853206 | + | 0.521575i | \(0.825345\pi\) | |||||||
\(398\) | −30.9243 | − | 11.2555i | −1.55010 | − | 0.564189i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −26.8116 | − | 22.4976i | −1.34058 | − | 1.12488i | ||||
\(401\) | 3.25519 | − | 1.18479i | 0.162556 | − | 0.0591657i | −0.259460 | − | 0.965754i | \(-0.583545\pi\) |
0.422017 | + | 0.906588i | \(0.361322\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 4.34120 | + | 24.6202i | 0.216251 | + | 1.22642i | ||||
\(404\) | 13.8564 | 0.689382 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 6.00000 | 0.297775 | ||||||||
\(407\) | −0.601535 | − | 3.41147i | −0.0298170 | − | 0.169100i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −4.69846 | + | 1.71010i | −0.232324 | + | 0.0845590i | −0.455559 | − | 0.890206i | \(-0.650561\pi\) |
0.223235 | + | 0.974765i | \(0.428338\pi\) | |||||||
\(410\) | −15.9219 | − | 13.3601i | −0.786328 | − | 0.659808i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −7.51754 | − | 2.73616i | −0.370363 | − | 0.134801i | ||||
\(413\) | −1.73205 | − | 3.00000i | −0.0852286 | − | 0.147620i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −12.0000 | + | 20.7846i | −0.589057 | + | 1.02028i | ||||
\(416\) | 19.9024 | − | 16.7001i | 0.975796 | − | 0.818790i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 1.04189 | − | 5.90885i | 0.0509605 | − | 0.289011i | ||||
\(419\) | 6.61688 | − | 37.5262i | 0.323256 | − | 1.83328i | −0.198402 | − | 0.980121i | \(-0.563575\pi\) |
0.521658 | − | 0.853155i | \(-0.325314\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −14.5548 | + | 12.2130i | −0.709360 | + | 0.595223i | −0.924419 | − | 0.381377i | \(-0.875450\pi\) |
0.215060 | + | 0.976601i | \(0.431005\pi\) | |||||||
\(422\) | 4.33013 | − | 7.50000i | 0.210787 | − | 0.365094i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −9.00000 | − | 15.5885i | −0.437079 | − | 0.757042i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.53209 | − | 1.28558i | −0.0741430 | − | 0.0622133i | ||||
\(428\) | 9.76557 | − | 3.55438i | 0.472037 | − | 0.171807i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1.04189 | − | 5.90885i | −0.0502444 | − | 0.284950i | ||||
\(431\) | 20.7846 | 1.00116 | 0.500580 | − | 0.865690i | \(-0.333120\pi\) | ||||
0.500580 | + | 0.865690i | \(0.333120\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −1.00000 | −0.0480569 | −0.0240285 | − | 0.999711i | \(-0.507649\pi\) | ||||
−0.0240285 | + | 0.999711i | \(0.507649\pi\) | |||||||
\(434\) | 1.50384 | + | 8.52869i | 0.0721865 | + | 0.409390i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −15.9748 | + | 5.81434i | −0.765053 | + | 0.278457i | ||||
\(437\) | −5.30731 | − | 4.45336i | −0.253883 | − | 0.213033i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −18.7939 | − | 6.84040i | −0.896982 | − | 0.326475i | −0.147939 | − | 0.988996i | \(-0.547264\pi\) |
−0.749043 | + | 0.662522i | \(0.769486\pi\) | |||||||
\(440\) | 10.3923 | + | 18.0000i | 0.495434 | + | 0.858116i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 10.6146 | − | 8.90673i | 0.504316 | − | 0.423171i | −0.354808 | − | 0.934939i | \(-0.615454\pi\) |
0.859124 | + | 0.511768i | \(0.171009\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 6.25133 | − | 35.4531i | 0.296342 | − | 1.68064i | ||||
\(446\) | 5.71458 | − | 32.4090i | 0.270593 | − | 1.53461i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.766044 | + | 0.642788i | −0.0361922 | + | 0.0303689i | ||||
\(449\) | −5.19615 | + | 9.00000i | −0.245222 | + | 0.424736i | −0.962194 | − | 0.272365i | \(-0.912194\pi\) |
0.716972 | + | 0.697102i | \(0.245527\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 6.00000 | + | 10.3923i | 0.282529 | + | 0.489355i | ||||
\(452\) | −16.2760 | − | 5.92396i | −0.765556 | − | 0.278640i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −18.3851 | − | 15.4269i | −0.862854 | − | 0.724020i | ||||
\(455\) | −16.2760 | + | 5.92396i | −0.763028 | + | 0.277720i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.95202 | + | 16.7417i | 0.138090 | + | 0.783145i | 0.972658 | + | 0.232241i | \(0.0746059\pi\) |
−0.834569 | + | 0.550904i | \(0.814283\pi\) | |||||||
\(458\) | −8.66025 | −0.404667 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −24.0000 | −1.11901 | ||||||||
\(461\) | −4.81228 | − | 27.2918i | −0.224130 | − | 1.27111i | −0.864341 | − | 0.502906i | \(-0.832264\pi\) |
0.640211 | − | 0.768199i | \(-0.278847\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 29.1305 | − | 10.6026i | 1.35381 | − | 0.492746i | 0.439674 | − | 0.898158i | \(-0.355094\pi\) |
0.914134 | + | 0.405412i | \(0.132872\pi\) | |||||||
\(464\) | −13.2683 | − | 11.1334i | −0.615964 | − | 0.516855i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −5.19615 | − | 9.00000i | −0.240449 | − | 0.416470i | 0.720393 | − | 0.693566i | \(-0.243961\pi\) |
−0.960842 | + | 0.277096i | \(0.910628\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 4.00000 | − | 6.92820i | 0.184703 | − | 0.319915i | ||||
\(470\) | 15.9219 | − | 13.3601i | 0.734424 | − | 0.616255i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −1.04189 | + | 5.90885i | −0.0479568 | + | 0.271977i | ||||
\(473\) | −0.601535 | + | 3.41147i | −0.0276586 | + | 0.156860i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −5.36231 | + | 4.49951i | −0.246040 | + | 0.206452i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 6.00000 | + | 10.3923i | 0.274434 | + | 0.475333i | ||||
\(479\) | −13.0208 | − | 4.73917i | −0.594934 | − | 0.216538i | 0.0269642 | − | 0.999636i | \(-0.491416\pi\) |
−0.621898 | + | 0.783098i | \(0.713638\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.83022 | − | 3.21394i | −0.174643 | − | 0.146543i | ||||
\(482\) | −30.9243 | + | 11.2555i | −1.40856 | + | 0.512675i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.173648 | + | 0.984808i | 0.00789310 | + | 0.0447640i | ||||
\(485\) | −58.8897 | −2.67404 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −19.0000 | −0.860972 | −0.430486 | − | 0.902597i | \(-0.641658\pi\) | ||||
−0.430486 | + | 0.902597i | \(0.641658\pi\) | |||||||
\(488\) | 0.601535 | + | 3.41147i | 0.0272302 | + | 0.154430i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 33.8289 | − | 12.3127i | 1.52824 | − | 0.556232i | ||||
\(491\) | 29.1902 | + | 24.4935i | 1.31734 | + | 1.10538i | 0.986863 | + | 0.161561i | \(0.0516527\pi\) |
0.330473 | + | 0.943815i | \(0.392792\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | −4.33013 | − | 7.50000i | −0.194822 | − | 0.337441i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 12.5000 | − | 21.6506i | 0.561267 | − | 0.972142i | ||||
\(497\) | 7.96097 | − | 6.68004i | 0.357098 | − | 0.299641i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −4.86215 | + | 27.5746i | −0.217660 | + | 1.23441i | 0.658571 | + | 0.752518i | \(0.271161\pi\) |
−0.876231 | + | 0.481891i | \(0.839950\pi\) | |||||||
\(500\) | −1.20307 | + | 6.82295i | −0.0538029 | + | 0.305132i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 27.5776 | − | 23.1404i | 1.23085 | − | 1.03280i | ||||
\(503\) | 20.7846 | − | 36.0000i | 0.926740 | − | 1.60516i | 0.138001 | − | 0.990432i | \(-0.455932\pi\) |
0.788739 | − | 0.614729i | \(-0.210734\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 24.0000 | + | 41.5692i | 1.06799 | + | 1.84981i | ||||
\(506\) | 39.0623 | + | 14.2175i | 1.73653 | + | 0.632045i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 13.0228 | + | 10.9274i | 0.577791 | + | 0.484825i | ||||
\(509\) | −26.0415 | + | 9.47834i | −1.15427 | + | 0.420120i | −0.847047 | − | 0.531517i | \(-0.821622\pi\) |
−0.307223 | + | 0.951638i | \(0.599400\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.347296 | − | 1.96962i | −0.0153635 | − | 0.0871307i | ||||
\(512\) | −8.66025 | −0.382733 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 6.00000 | 0.264649 | ||||||||
\(515\) | −4.81228 | − | 27.2918i | −0.212054 | − | 1.20262i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −11.2763 | + | 4.10424i | −0.495932 | + | 0.180504i | ||||
\(518\) | −1.32683 | − | 1.11334i | −0.0582975 | − | 0.0489174i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 28.1908 | + | 10.2606i | 1.23625 | + | 0.449957i | ||||
\(521\) | −10.3923 | − | 18.0000i | −0.455295 | − | 0.788594i | 0.543410 | − | 0.839467i | \(-0.317133\pi\) |
−0.998705 | + | 0.0508731i | \(0.983800\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −10.0000 | + | 17.3205i | −0.437269 | + | 0.757373i | −0.997478 | − | 0.0709788i | \(-0.977388\pi\) |
0.560208 | + | 0.828352i | \(0.310721\pi\) | |||||||
\(524\) | −2.65366 | + | 2.22668i | −0.115925 | + | 0.0972730i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −4.16756 | + | 23.6354i | −0.181714 | + | 1.03055i | ||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 19.1511 | − | 16.0697i | 0.832657 | − | 0.698682i | ||||
\(530\) | −31.1769 | + | 54.0000i | −1.35424 | + | 2.34561i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.500000 | − | 0.866025i | −0.0216777 | − | 0.0375470i | ||||
\(533\) | 16.2760 | + | 5.92396i | 0.704990 | + | 0.256595i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 27.5776 | + | 23.1404i | 1.19228 | + | 1.00044i | ||||
\(536\) | −13.0208 | + | 4.73917i | −0.562411 | + | 0.204701i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −20.7846 | −0.895257 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 17.0000 | 0.730887 | 0.365444 | − | 0.930834i | \(-0.380917\pi\) | ||||
0.365444 | + | 0.930834i | \(0.380917\pi\) | |||||||
\(542\) | 4.81228 | + | 27.2918i | 0.206705 | + | 1.17228i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −45.1121 | − | 37.8536i | −1.93239 | − | 1.62147i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −18.7939 | − | 6.84040i | −0.803567 | − | 0.292475i | −0.0926033 | − | 0.995703i | \(-0.529519\pi\) |
−0.710964 | + | 0.703229i | \(0.751741\pi\) | |||||||
\(548\) | 3.46410 | + | 6.00000i | 0.147979 | + | 0.256307i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 21.0000 | − | 36.3731i | 0.895443 | − | 1.55095i | ||||
\(551\) | −2.65366 | + | 2.22668i | −0.113050 | + | 0.0948598i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.173648 | − | 0.984808i | 0.00738427 | − | 0.0418783i | ||||
\(554\) | −5.11305 | + | 28.9975i | −0.217233 | + | 1.23199i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −9.95858 | + | 8.35624i | −0.422338 | + | 0.354383i | ||||
\(557\) | 5.19615 | − | 9.00000i | 0.220168 | − | 0.381342i | −0.734691 | − | 0.678402i | \(-0.762673\pi\) |
0.954859 | + | 0.297060i | \(0.0960061\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.50000 | + | 4.33013i | 0.105739 | + | 0.183145i | ||||
\(560\) | 16.2760 | + | 5.92396i | 0.687785 | + | 0.250333i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −18.3851 | − | 15.4269i | −0.775527 | − | 0.650745i | ||||
\(563\) | 32.5519 | − | 11.8479i | 1.37190 | − | 0.499331i | 0.452187 | − | 0.891923i | \(-0.350644\pi\) |
0.919712 | + | 0.392593i | \(0.128422\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −10.4189 | − | 59.0885i | −0.438326 | − | 2.48587i | ||||
\(566\) | 22.5167 | 0.946446 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −18.0000 | −0.755263 | ||||||||
\(569\) | 4.21074 | + | 23.8803i | 0.176524 | + | 1.00112i | 0.936371 | + | 0.351013i | \(0.114163\pi\) |
−0.759847 | + | 0.650102i | \(0.774726\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −38.5274 | + | 14.0228i | −1.61232 | + | 0.586837i | −0.981897 | − | 0.189414i | \(-0.939341\pi\) |
−0.630424 | + | 0.776251i | \(0.717119\pi\) | |||||||
\(572\) | 13.2683 | + | 11.1334i | 0.554775 | + | 0.465511i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 5.63816 | + | 2.05212i | 0.235332 | + | 0.0856539i | ||||
\(575\) | −24.2487 | − | 42.0000i | −1.01124 | − | 1.75152i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 17.0000 | − | 29.4449i | 0.707719 | − | 1.22581i | −0.257982 | − | 0.966150i | \(-0.583058\pi\) |
0.965701 | − | 0.259656i | \(-0.0836092\pi\) | |||||||
\(578\) | 22.5561 | − | 18.9268i | 0.938209 | − | 0.787251i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −2.08378 | + | 11.8177i | −0.0865242 | + | 0.490703i | ||||
\(581\) | 1.20307 | − | 6.82295i | 0.0499117 | − | 0.283064i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 27.5776 | − | 23.1404i | 1.14215 | − | 0.958376i | ||||
\(584\) | −1.73205 | + | 3.00000i | −0.0716728 | + | 0.124141i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −12.0000 | − | 20.7846i | −0.495715 | − | 0.858604i | ||||
\(587\) | 6.51038 | + | 2.36959i | 0.268712 | + | 0.0978032i | 0.472862 | − | 0.881136i | \(-0.343221\pi\) |
−0.204150 | + | 0.978940i | \(0.565443\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −3.83022 | − | 3.21394i | −0.157822 | − | 0.132428i | ||||
\(590\) | 19.5311 | − | 7.10876i | 0.804084 | − | 0.292663i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0.868241 | + | 4.92404i | 0.0356845 | + | 0.202377i | ||||
\(593\) | −20.7846 | −0.853522 | −0.426761 | − | 0.904365i | \(-0.640345\pi\) | ||||
−0.426761 | + | 0.904365i | \(0.640345\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 1.20307 | + | 6.82295i | 0.0492797 | + | 0.279479i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 56.3816 | − | 20.5212i | 2.30561 | − | 0.839175i | ||||
\(599\) | −18.5756 | − | 15.5868i | −0.758978 | − | 0.636858i | 0.178883 | − | 0.983870i | \(-0.442752\pi\) |
−0.937861 | + | 0.347012i | \(0.887196\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −32.8892 | − | 11.9707i | −1.34158 | − | 0.488295i | −0.431270 | − | 0.902223i | \(-0.641934\pi\) |
−0.910310 | + | 0.413928i | \(0.864157\pi\) | |||||||
\(602\) | 0.866025 | + | 1.50000i | 0.0352966 | + | 0.0611354i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 8.00000 | − | 13.8564i | 0.325515 | − | 0.563809i | ||||
\(605\) | −2.65366 | + | 2.22668i | −0.107886 | + | 0.0905275i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.25743 | + | 12.8025i | −0.0916261 | + | 0.519637i | 0.904103 | + | 0.427315i | \(0.140540\pi\) |
−0.995729 | + | 0.0923229i | \(0.970571\pi\) | |||||||
\(608\) | −0.902302 | + | 5.11721i | −0.0365932 | + | 0.207530i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 9.19253 | − | 7.71345i | 0.372195 | − | 0.312309i | ||||
\(611\) | −8.66025 | + | 15.0000i | −0.350356 | + | 0.606835i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1.00000 | − | 1.73205i | −0.0403896 | − | 0.0699569i | 0.845124 | − | 0.534570i | \(-0.179527\pi\) |
−0.885514 | + | 0.464614i | \(0.846193\pi\) | |||||||
\(614\) | 32.5519 | + | 11.8479i | 1.31369 | + | 0.478143i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −4.59627 | − | 3.85673i | −0.185189 | − | 0.155392i | ||||
\(617\) | −6.51038 | + | 2.36959i | −0.262098 | + | 0.0953959i | −0.469727 | − | 0.882812i | \(-0.655648\pi\) |
0.207629 | + | 0.978208i | \(0.433425\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 3.47296 | + | 19.6962i | 0.139590 | + | 0.791655i | 0.971553 | + | 0.236823i | \(0.0761063\pi\) |
−0.831963 | + | 0.554832i | \(0.812783\pi\) | |||||||
\(620\) | −17.3205 | −0.695608 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 24.0000 | 0.962312 | ||||||||
\(623\) | 1.80460 | + | 10.2344i | 0.0723000 | + | 0.410033i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 10.3366 | − | 3.76222i | 0.413465 | − | 0.150489i | ||||
\(626\) | 1.32683 | + | 1.11334i | 0.0530307 | + | 0.0444980i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 12.2160 | + | 4.44626i | 0.487472 | + | 0.177425i | ||||
\(629\) | 0 | 0 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −8.50000 | + | 14.7224i | −0.338380 | + | 0.586091i | −0.984128 | − | 0.177459i | \(-0.943212\pi\) |
0.645748 | + | 0.763550i | \(0.276545\pi\) | |||||||
\(632\) | −1.32683 | + | 1.11334i | −0.0527784 | + | 0.0442863i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 8.33511 | − | 47.2708i | 0.331030 | − | 1.87736i | ||||
\(635\) | −10.2261 | + | 57.9951i | −0.405810 | + | 2.30146i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −22.9813 | + | 19.2836i | −0.910554 | + | 0.764045i | ||||
\(638\) | 10.3923 | − | 18.0000i | 0.411435 | − | 0.712627i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −21.0000 | − | 36.3731i | −0.830098 | − | 1.43777i | ||||
\(641\) | −42.3175 | − | 15.4023i | −1.67144 | − | 0.608354i | −0.679342 | − | 0.733822i | \(-0.737735\pi\) |
−0.992098 | + | 0.125467i | \(0.959957\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 33.7060 | + | 28.2827i | 1.32923 | + | 1.11536i | 0.984256 | + | 0.176748i | \(0.0565577\pi\) |
0.344977 | + | 0.938611i | \(0.387887\pi\) | |||||||
\(644\) | 6.51038 | − | 2.36959i | 0.256545 | − | 0.0933747i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 20.7846 | 0.817127 | 0.408564 | − | 0.912730i | \(-0.366030\pi\) | ||||
0.408564 | + | 0.912730i | \(0.366030\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −12.0000 | −0.471041 | ||||||||
\(650\) | −10.5269 | − | 59.7008i | −0.412897 | − | 2.34166i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0.939693 | − | 0.342020i | 0.0368012 | − | 0.0133945i | ||||
\(653\) | 13.2683 | + | 11.1334i | 0.519228 | + | 0.435684i | 0.864362 | − | 0.502869i | \(-0.167722\pi\) |
−0.345135 | + | 0.938553i | \(0.612167\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −11.2763 | − | 4.10424i | −0.440602 | − | 0.160366i | ||||
\(656\) | −8.66025 | − | 15.0000i | −0.338126 | − | 0.585652i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −3.00000 | + | 5.19615i | −0.116952 | + | 0.202567i | ||||
\(659\) | −21.2292 | + | 17.8135i | −0.826974 | + | 0.693914i | −0.954594 | − | 0.297910i | \(-0.903711\pi\) |
0.127620 | + | 0.991823i | \(0.459266\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.73648 | + | 9.84808i | −0.0675413 | + | 0.383046i | 0.932234 | + | 0.361856i | \(0.117857\pi\) |
−0.999775 | + | 0.0211902i | \(0.993254\pi\) | |||||||
\(662\) | 5.71458 | − | 32.4090i | 0.222104 | − | 1.25961i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −9.19253 | + | 7.71345i | −0.356739 | + | 0.299340i | ||||
\(665\) | 1.73205 | − | 3.00000i | 0.0671660 | − | 0.116335i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −12.0000 | − | 20.7846i | −0.464642 | − | 0.804783i | ||||
\(668\) | 22.7863 | + | 8.29355i | 0.881630 | + | 0.320887i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 36.7701 | + | 30.8538i | 1.42055 | + | 1.19199i | ||||
\(671\) | −6.51038 | + | 2.36959i | −0.251330 | + | 0.0914768i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −6.42498 | − | 36.4379i | −0.247665 | − | 1.40458i | −0.814221 | − | 0.580554i | \(-0.802836\pi\) |
0.566557 | − | 0.824023i | \(-0.308275\pi\) | |||||||
\(674\) | −8.66025 | −0.333581 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 12.0000 | 0.461538 | ||||||||
\(677\) | −3.00767 | − | 17.0574i | −0.115594 | − | 0.655568i | −0.986454 | − | 0.164037i | \(-0.947548\pi\) |
0.870860 | − | 0.491531i | \(-0.163563\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 15.9748 | − | 5.81434i | 0.613056 | − | 0.223134i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 28.1908 | + | 10.2606i | 1.07948 | + | 0.392899i | ||||
\(683\) | 20.7846 | + | 36.0000i | 0.795301 | + | 1.37750i | 0.922648 | + | 0.385643i | \(0.126021\pi\) |
−0.127347 | + | 0.991858i | \(0.540646\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −12.0000 | + | 20.7846i | −0.458496 | + | 0.794139i | ||||
\(686\) | −17.2488 | + | 14.4734i | −0.658561 | + | 0.552598i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.868241 | − | 4.92404i | 0.0331014 | − | 0.187727i | ||||
\(689\) | 9.02302 | − | 51.1721i | 0.343750 | − | 1.94950i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 13.0228 | − | 10.9274i | 0.495409 | − | 0.415697i | −0.360551 | − | 0.932739i | \(-0.617411\pi\) |
0.855960 | + | 0.517042i | \(0.172967\pi\) | |||||||
\(692\) | −6.92820 | + | 12.0000i | −0.263371 | + | 0.456172i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −21.0000 | − | 36.3731i | −0.797149 | − | 1.38070i | ||||
\(695\) | −42.3175 | − | 15.4023i | −1.60519 | − | 0.584243i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | −1.62760 | + | 0.592396i | −0.0616054 | + | 0.0224225i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −1.21554 | − | 6.89365i | −0.0459430 | − | 0.260556i | ||||
\(701\) | 41.5692 | 1.57005 | 0.785024 | − | 0.619466i | \(-0.212651\pi\) | ||||
0.785024 | + | 0.619466i | \(0.212651\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.00000 | 0.0377157 | ||||||||
\(704\) | 0.601535 | + | 3.41147i | 0.0226712 | + | 0.128575i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −28.1908 | + | 10.2606i | −1.06097 | + | 0.386163i | ||||
\(707\) | −10.6146 | − | 8.90673i | −0.399204 | − | 0.334972i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 17.8542 | + | 6.49838i | 0.670527 | + | 0.244052i | 0.654775 | − | 0.755824i | \(-0.272763\pi\) |
0.0157523 | + | 0.999876i | \(0.494986\pi\) | |||||||
\(710\) | 31.1769 | + | 54.0000i | 1.17005 | + | 2.02658i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 9.00000 | − | 15.5885i | 0.337289 | − | 0.584202i | ||||
\(713\) | 26.5366 | − | 22.2668i | 0.993802 | − | 0.833899i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −10.4189 | + | 59.0885i | −0.389644 | + | 2.20978i | ||||
\(716\) | 3.60921 | − | 20.4688i | 0.134882 | − | 0.764957i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 41.3664 | − | 34.7105i | 1.54378 | − | 1.29539i | ||||
\(719\) | 5.19615 | − | 9.00000i | 0.193784 | − | 0.335643i | −0.752717 | − | 0.658344i | \(-0.771257\pi\) |
0.946501 | + | 0.322700i | \(0.104591\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.00000 | + | 6.92820i | 0.148968 | + | 0.258020i | ||||
\(722\) | −29.2967 | − | 10.6631i | −1.09031 | − | 0.396841i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 13.0228 | + | 10.9274i | 0.483987 | + | 0.406113i | ||||
\(725\) | −22.7863 | + | 8.29355i | −0.846263 | + | 0.308015i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −2.77837 | − | 15.7569i | −0.103044 | − | 0.584392i | −0.991984 | − | 0.126367i | \(-0.959668\pi\) |
0.888939 | − | 0.458025i | \(-0.151443\pi\) | |||||||
\(728\) | −8.66025 | −0.320970 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 12.0000 | 0.444140 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −38.5274 | + | 14.0228i | −1.42304 | + | 0.517945i | −0.934929 | − | 0.354835i | \(-0.884537\pi\) |
−0.488113 | + | 0.872780i | \(0.662315\pi\) | |||||||
\(734\) | 21.2292 | + | 17.8135i | 0.783586 | + | 0.657507i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −33.8289 | − | 12.3127i | −1.24695 | − | 0.453853i | ||||
\(737\) | −13.8564 | − | 24.0000i | −0.510407 | − | 0.884051i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 9.50000 | − | 16.4545i | 0.349463 | − | 0.605288i | −0.636691 | − | 0.771119i | \(-0.719697\pi\) |
0.986154 | + | 0.165831i | \(0.0530307\pi\) | |||||||
\(740\) | 2.65366 | − | 2.22668i | 0.0975503 | − | 0.0818544i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 3.12567 | − | 17.7265i | 0.114747 | − | 0.650762i | ||||
\(743\) | 1.20307 | − | 6.82295i | 0.0441364 | − | 0.250310i | −0.954755 | − | 0.297395i | \(-0.903882\pi\) |
0.998891 | + | 0.0470853i | \(0.0149933\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −18.3851 | + | 15.4269i | −0.673577 | + | 0.565198i | ||||
\(746\) | 19.9186 | − | 34.5000i | 0.729271 | − | 1.26313i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −9.76557 | − | 3.55438i | −0.356826 | − | 0.129874i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.83022 | + | 3.21394i | 0.139767 | + | 0.117278i | 0.709991 | − | 0.704211i | \(-0.248699\pi\) |
−0.570224 | + | 0.821489i | \(0.693144\pi\) | |||||||
\(752\) | 16.2760 | − | 5.92396i | 0.593523 | − | 0.216025i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −5.20945 | − | 29.5442i | −0.189717 | − | 1.07594i | ||||
\(755\) | 55.4256 | 2.01715 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 38.0000 | 1.38113 | 0.690567 | − | 0.723269i | \(-0.257361\pi\) | ||||
0.690567 | + | 0.723269i | \(0.257361\pi\) | |||||||
\(758\) | 5.71458 | + | 32.4090i | 0.207563 | + | 1.17715i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −5.63816 | + | 2.05212i | −0.204517 | + | 0.0744382i | ||||
\(761\) | 21.2292 | + | 17.8135i | 0.769560 | + | 0.645737i | 0.940596 | − | 0.339528i | \(-0.110267\pi\) |
−0.171037 | + | 0.985265i | \(0.554712\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 15.9748 | + | 5.81434i | 0.578326 | + | 0.210493i | ||||
\(764\) | 3.46410 | + | 6.00000i | 0.125327 | + | 0.217072i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 15.0000 | − | 25.9808i | 0.541972 | − | 0.938723i | ||||
\(767\) | −13.2683 | + | 11.1334i | −0.479090 | + | 0.402004i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −2.25743 | + | 12.8025i | −0.0814049 | + | 0.461670i | 0.916670 | + | 0.399646i | \(0.130867\pi\) |
−0.998075 | + | 0.0620244i | \(0.980244\pi\) | |||||||
\(770\) | −3.60921 | + | 20.4688i | −0.130067 | + | 0.737646i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −7.66044 | + | 6.42788i | −0.275705 | + | 0.231344i | ||||
\(773\) | 10.3923 | − | 18.0000i | 0.373785 | − | 0.647415i | −0.616359 | − | 0.787465i | \(-0.711393\pi\) |
0.990144 | + | 0.140050i | \(0.0447264\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −17.5000 | − | 30.3109i | −0.628619 | − | 1.08880i | ||||
\(776\) | −27.6691 | − | 10.0707i | −0.993264 | − | 0.361518i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 9.19253 | + | 7.71345i | 0.329568 | + | 0.276541i | ||||
\(779\) | −3.25519 | + | 1.18479i | −0.116629 | + | 0.0424496i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −6.25133 | − | 35.4531i | −0.223690 | − | 1.26861i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 |