Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [416,2,Mod(289,416)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(416, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("416.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 416 = 2^{5} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 416.i (of order \(3\), degree \(2\), 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: | \(3.32177672409\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} + 2x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 321.2 | ||
Root | \(0.707107 - 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 416.321 |
Dual form | 416.2.i.f.289.2 |
$q$-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 \(\left(\mathbb{Z}/416\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(287\) | \(353\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 | 0 | ||||||||
\(3\) | 1.20711 | − | 2.09077i | 0.696923 | − | 1.20711i | −0.272605 | − | 0.962126i | \(-0.587885\pi\) |
0.969528 | − | 0.244981i | \(-0.0787816\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.82843 | 1.26491 | 0.632456 | − | 0.774597i | \(-0.282047\pi\) | ||||
0.632456 | + | 0.774597i | \(0.282047\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.20711 | − | 3.82282i | −0.834208 | − | 1.44489i | −0.894674 | − | 0.446720i | \(-0.852592\pi\) |
0.0604657 | − | 0.998170i | \(-0.480741\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.41421 | − | 2.44949i | −0.471405 | − | 0.816497i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.62132 | + | 2.80821i | −0.488846 | + | 0.846707i | −0.999918 | − | 0.0128314i | \(-0.995916\pi\) |
0.511071 | + | 0.859538i | \(0.329249\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.00000 | − | 3.46410i | −0.277350 | − | 0.960769i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 3.41421 | − | 5.91359i | 0.881546 | − | 1.52688i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 2.91421 | + | 5.04757i | 0.706801 | + | 1.22421i | 0.966038 | + | 0.258401i | \(0.0831955\pi\) |
−0.259237 | + | 0.965814i | \(0.583471\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.621320 | + | 1.07616i | 0.142541 | + | 0.246888i | 0.928453 | − | 0.371451i | \(-0.121139\pi\) |
−0.785912 | + | 0.618338i | \(0.787806\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −10.6569 | −2.32552 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.621320 | + | 1.07616i | −0.129554 | + | 0.224395i | −0.923504 | − | 0.383589i | \(-0.874688\pi\) |
0.793950 | + | 0.607983i | \(0.208021\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.00000 | 0.600000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.414214 | 0.0797154 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.32843 | + | 7.49706i | −0.803769 | + | 1.39217i | 0.113350 | + | 0.993555i | \(0.463842\pi\) |
−0.917119 | + | 0.398613i | \(0.869492\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.65685 | 1.01600 | 0.508001 | − | 0.861357i | \(-0.330385\pi\) | ||||
0.508001 | + | 0.861357i | \(0.330385\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 3.91421 | + | 6.77962i | 0.681377 | + | 1.18018i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −6.24264 | − | 10.8126i | −1.05520 | − | 1.82766i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.74264 | − | 6.48244i | 0.615286 | − | 1.06571i | −0.375048 | − | 0.927005i | \(-0.622374\pi\) |
0.990334 | − | 0.138702i | \(-0.0442929\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −8.44975 | − | 2.09077i | −1.35304 | − | 0.334791i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.91421 | − | 5.04757i | 0.455124 | − | 0.788297i | −0.543572 | − | 0.839363i | \(-0.682928\pi\) |
0.998695 | + | 0.0510654i | \(0.0162617\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.03553 | − | 3.52565i | −0.310416 | − | 0.537656i | 0.668036 | − | 0.744129i | \(-0.267135\pi\) |
−0.978452 | + | 0.206472i | \(0.933802\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −4.00000 | − | 6.92820i | −0.596285 | − | 1.03280i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 6.00000 | 0.875190 | 0.437595 | − | 0.899172i | \(-0.355830\pi\) | ||||
0.437595 | + | 0.899172i | \(0.355830\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.24264 | + | 10.8126i | −0.891806 | + | 1.54465i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 14.0711 | 1.97034 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −2.82843 | −0.388514 | −0.194257 | − | 0.980951i | \(-0.562230\pi\) | ||||
−0.194257 | + | 0.980951i | \(0.562230\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −4.58579 | + | 7.94282i | −0.618347 | + | 1.07101i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 3.00000 | 0.397360 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.621320 | + | 1.07616i | 0.0808890 | + | 0.140104i | 0.903632 | − | 0.428310i | \(-0.140891\pi\) |
−0.822743 | + | 0.568414i | \(0.807557\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.50000 | − | 6.06218i | −0.448129 | − | 0.776182i | 0.550135 | − | 0.835076i | \(-0.314576\pi\) |
−0.998264 | + | 0.0588933i | \(0.981243\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −6.24264 | + | 10.8126i | −0.786499 | + | 1.36226i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −2.82843 | − | 9.79796i | −0.350823 | − | 1.21529i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.62132 | + | 11.4685i | −0.808923 | + | 1.40110i | 0.104687 | + | 0.994505i | \(0.466616\pi\) |
−0.913610 | + | 0.406591i | \(0.866718\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1.50000 | + | 2.59808i | 0.180579 | + | 0.312772i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.62132 | + | 6.27231i | 0.429772 | + | 0.744386i | 0.996853 | − | 0.0792756i | \(-0.0252607\pi\) |
−0.567081 | + | 0.823662i | \(0.691927\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 12.4853 | 1.46129 | 0.730646 | − | 0.682757i | \(-0.239219\pi\) | ||||
0.730646 | + | 0.682757i | \(0.239219\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 3.62132 | − | 6.27231i | 0.418154 | − | 0.724264i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 14.3137 | 1.63120 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.00000 | −0.675053 | −0.337526 | − | 0.941316i | \(-0.609590\pi\) | ||||
−0.337526 | + | 0.941316i | \(0.609590\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 4.74264 | − | 8.21449i | 0.526960 | − | 0.912722i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 4.00000 | 0.439057 | 0.219529 | − | 0.975606i | \(-0.429548\pi\) | ||||
0.219529 | + | 0.975606i | \(0.429548\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 8.24264 | + | 14.2767i | 0.894040 | + | 1.54852i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 10.4497 | + | 18.0995i | 1.12033 | + | 1.94047i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 1.67157 | − | 2.89525i | 0.177186 | − | 0.306896i | −0.763729 | − | 0.645537i | \(-0.776634\pi\) |
0.940916 | + | 0.338641i | \(0.109967\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −11.0355 | + | 11.4685i | −1.15684 | + | 1.20222i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 6.82843 | − | 11.8272i | 0.708075 | − | 1.22642i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 1.75736 | + | 3.04384i | 0.180301 | + | 0.312291i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.50000 | + | 7.79423i | 0.456906 | + | 0.791384i | 0.998796 | − | 0.0490655i | \(-0.0156243\pi\) |
−0.541890 | + | 0.840450i | \(0.682291\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 9.17157 | 0.921778 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −5.91421 | + | 10.2437i | −0.588486 | + | 1.01929i | 0.405945 | + | 0.913898i | \(0.366943\pi\) |
−0.994431 | + | 0.105390i | \(0.966391\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −30.1421 | −2.94157 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −9.62132 | + | 16.6646i | −0.930128 | + | 1.61103i | −0.147029 | + | 0.989132i | \(0.546971\pi\) |
−0.783099 | + | 0.621897i | \(0.786362\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −8.48528 | −0.812743 | −0.406371 | − | 0.913708i | \(-0.633206\pi\) | ||||
−0.406371 | + | 0.913708i | \(0.633206\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −9.03553 | − | 15.6500i | −0.857615 | − | 1.48543i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 0.0857864 | + | 0.148586i | 0.00807011 | + | 0.0139778i | 0.870032 | − | 0.492995i | \(-0.164098\pi\) |
−0.861962 | + | 0.506973i | \(0.830765\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.75736 | + | 3.04384i | −0.163875 | + | 0.283839i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −7.07107 | + | 7.34847i | −0.653720 | + | 0.679366i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 12.8640 | − | 22.2810i | 1.17924 | − | 2.04250i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.242641 | + | 0.420266i | 0.0220582 | + | 0.0382060i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −7.03553 | − | 12.1859i | −0.634373 | − | 1.09877i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −5.65685 | −0.505964 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.792893 | + | 1.37333i | −0.0703579 | + | 0.121863i | −0.899058 | − | 0.437829i | \(-0.855747\pi\) |
0.828700 | + | 0.559693i | \(0.189081\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −9.82843 | −0.865345 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −4.00000 | −0.349482 | −0.174741 | − | 0.984614i | \(-0.555909\pi\) | ||||
−0.174741 | + | 0.984614i | \(0.555909\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.74264 | − | 4.75039i | 0.237817 | − | 0.411911i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 1.17157 | 0.100833 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −4.67157 | − | 8.09140i | −0.399119 | − | 0.691295i | 0.594498 | − | 0.804097i | \(-0.297351\pi\) |
−0.993617 | + | 0.112802i | \(0.964017\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 0.621320 | + | 1.07616i | 0.0526997 | + | 0.0912786i | 0.891172 | − | 0.453666i | \(-0.149884\pi\) |
−0.838472 | + | 0.544944i | \(0.816551\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 7.24264 | − | 12.5446i | 0.609940 | − | 1.05645i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 11.3492 | + | 2.80821i | 0.949071 | + | 0.234834i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −12.2426 | + | 21.2049i | −1.01670 | + | 1.76097i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 15.0711 | + | 26.1039i | 1.24304 | + | 2.15301i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 1.67157 | + | 2.89525i | 0.136941 | + | 0.237188i | 0.926337 | − | 0.376696i | \(-0.122940\pi\) |
−0.789397 | + | 0.613884i | \(0.789606\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −16.9706 | −1.38104 | −0.690522 | − | 0.723311i | \(-0.742619\pi\) | ||||
−0.690522 | + | 0.723311i | \(0.742619\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 8.24264 | − | 14.2767i | 0.666378 | − | 1.15420i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 16.0000 | 1.28515 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.485281 | −0.0387297 | −0.0193648 | − | 0.999812i | \(-0.506164\pi\) | ||||
−0.0193648 | + | 0.999812i | \(0.506164\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −3.41421 | + | 5.91359i | −0.270765 | + | 0.468978i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 5.48528 | 0.432301 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −8.37868 | − | 14.5123i | −0.656269 | − | 1.13669i | −0.981574 | − | 0.191082i | \(-0.938800\pi\) |
0.325305 | − | 0.945609i | \(-0.394533\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 11.0711 | + | 19.1757i | 0.861881 | + | 1.49282i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 7.86396 | − | 13.6208i | 0.608532 | − | 1.05401i | −0.382951 | − | 0.923769i | \(-0.625092\pi\) |
0.991483 | − | 0.130239i | \(-0.0415745\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −11.0000 | + | 6.92820i | −0.846154 | + | 0.532939i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.75736 | − | 3.04384i | 0.134389 | − | 0.232768i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 4.50000 | + | 7.79423i | 0.342129 | + | 0.592584i | 0.984828 | − | 0.173534i | \(-0.0555188\pi\) |
−0.642699 | + | 0.766119i | \(0.722185\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −6.62132 | − | 11.4685i | −0.500525 | − | 0.866934i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 3.00000 | 0.225494 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 6.37868 | − | 11.0482i | 0.476765 | − | 0.825781i | −0.522881 | − | 0.852406i | \(-0.675143\pi\) |
0.999645 | + | 0.0266249i | \(0.00847597\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.485281 | −0.0360707 | −0.0180353 | − | 0.999837i | \(-0.505741\pi\) | ||||
−0.0180353 | + | 0.999837i | \(0.505741\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −16.8995 | −1.24925 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 10.5858 | − | 18.3351i | 0.778282 | − | 1.34802i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −18.8995 | −1.38207 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −0.914214 | − | 1.58346i | −0.0664993 | − | 0.115180i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −3.37868 | − | 5.85204i | −0.244473 | − | 0.423439i | 0.717511 | − | 0.696548i | \(-0.245282\pi\) |
−0.961983 | + | 0.273109i | \(0.911948\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 9.74264 | − | 16.8747i | 0.701291 | − | 1.21467i | −0.266723 | − | 0.963773i | \(-0.585941\pi\) |
0.968014 | − | 0.250898i | \(-0.0807258\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −23.8995 | − | 5.91359i | −1.71148 | − | 0.423481i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −1.50000 | + | 2.59808i | −0.106871 | + | 0.185105i | −0.914501 | − | 0.404584i | \(-0.867416\pi\) |
0.807630 | + | 0.589689i | \(0.200750\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 12.1066 | + | 20.9692i | 0.858214 | + | 1.48647i | 0.873631 | + | 0.486590i | \(0.161759\pi\) |
−0.0154165 | + | 0.999881i | \(0.504907\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 15.9853 | + | 27.6873i | 1.12751 | + | 1.95291i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 38.2132 | 2.68204 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 8.24264 | − | 14.2767i | 0.575691 | − | 0.997126i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 3.51472 | 0.244290 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −4.02944 | −0.278722 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.79289 | + | 11.7656i | −0.467642 | + | 0.809980i | −0.999316 | − | 0.0369691i | \(-0.988230\pi\) |
0.531674 | + | 0.846949i | \(0.321563\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 17.4853 | 1.19807 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −5.75736 | − | 9.97204i | −0.392649 | − | 0.680087i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −12.4853 | − | 21.6251i | −0.847556 | − | 1.46801i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 15.0711 | − | 26.1039i | 1.01841 | − | 1.76394i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 14.5711 | − | 15.1427i | 0.980156 | − | 1.01861i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −3.44975 | + | 5.97514i | −0.231012 | + | 0.400125i | −0.958106 | − | 0.286413i | \(-0.907537\pi\) |
0.727094 | + | 0.686538i | \(0.240870\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −4.24264 | − | 7.34847i | −0.282843 | − | 0.489898i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −7.86396 | − | 13.6208i | −0.521949 | − | 0.904043i | −0.999674 | − | 0.0255332i | \(-0.991872\pi\) |
0.477725 | − | 0.878510i | \(-0.341462\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 8.48528 | 0.560723 | 0.280362 | − | 0.959894i | \(-0.409546\pi\) | ||||
0.280362 | + | 0.959894i | \(0.409546\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 17.2782 | − | 29.9267i | 1.13682 | − | 1.96903i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −20.4853 | −1.34204 | −0.671018 | − | 0.741441i | \(-0.734143\pi\) | ||||
−0.671018 | + | 0.741441i | \(0.734143\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 16.9706 | 1.10704 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −7.24264 | + | 12.5446i | −0.470460 | + | 0.814861i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −8.97056 | −0.580257 | −0.290129 | − | 0.956988i | \(-0.593698\pi\) | ||||
−0.290129 | + | 0.956988i | \(0.593698\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −15.2279 | − | 26.3755i | −0.980917 | − | 1.69900i | −0.658838 | − | 0.752285i | \(-0.728952\pi\) |
−0.322078 | − | 0.946713i | \(-0.604381\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −10.8284 | − | 18.7554i | −0.694644 | − | 1.20316i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −17.6569 | + | 30.5826i | −1.12806 | + | 1.95385i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.10660 | − | 3.22848i | 0.197668 | − | 0.205423i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 4.82843 | − | 8.36308i | 0.305989 | − | 0.529989i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −8.86396 | − | 15.3528i | −0.559488 | − | 0.969062i | −0.997539 | − | 0.0701119i | \(-0.977664\pi\) |
0.438051 | − | 0.898950i | \(-0.355669\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.01472 | − | 3.48960i | −0.126664 | − | 0.219389i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 39.7990 | 2.49231 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −8.39949 | + | 14.5484i | −0.523946 | + | 0.907501i | 0.475665 | + | 0.879626i | \(0.342207\pi\) |
−0.999611 | + | 0.0278749i | \(0.991126\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −33.0416 | −2.05311 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 24.4853 | 1.51560 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −4.62132 | + | 8.00436i | −0.284963 | + | 0.493570i | −0.972600 | − | 0.232484i | \(-0.925315\pi\) |
0.687637 | + | 0.726054i | \(0.258648\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −8.00000 | −0.491436 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −4.03553 | − | 6.98975i | −0.246971 | − | 0.427766i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −2.74264 | − | 4.75039i | −0.167222 | − | 0.289637i | 0.770220 | − | 0.637778i | \(-0.220146\pi\) |
−0.937442 | + | 0.348141i | \(0.886813\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −12.6213 | + | 21.8608i | −0.766691 | + | 1.32795i | 0.172658 | + | 0.984982i | \(0.444765\pi\) |
−0.939348 | + | 0.342965i | \(0.888569\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 10.6569 | + | 36.9164i | 0.644982 | + | 2.23428i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −4.86396 | + | 8.42463i | −0.293308 | + | 0.508024i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −6.74264 | − | 11.6786i | −0.405126 | − | 0.701699i | 0.589210 | − | 0.807980i | \(-0.299439\pi\) |
−0.994336 | + | 0.106281i | \(0.966106\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −8.00000 | − | 13.8564i | −0.478947 | − | 0.829561i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −2.14214 | −0.127789 | −0.0638945 | − | 0.997957i | \(-0.520352\pi\) | ||||
−0.0638945 | + | 0.997957i | \(0.520352\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 5.20711 | − | 9.01897i | 0.309530 | − | 0.536122i | −0.668729 | − | 0.743506i | \(-0.733161\pi\) |
0.978260 | + | 0.207384i | \(0.0664948\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 8.48528 | 0.502625 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −25.7279 | −1.51867 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.48528 | + | 14.6969i | −0.499134 | + | 0.864526i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 21.7279 | 1.27371 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −1.15685 | − | 2.00373i | −0.0675841 | − | 0.117059i | 0.830253 | − | 0.557386i | \(-0.188196\pi\) |
−0.897837 | + | 0.440327i | \(0.854862\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.75736 | + | 3.04384i | 0.102317 | + | 0.177219i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −0.671573 | + | 1.16320i | −0.0389686 | + | 0.0674956i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 4.34924 | + | 1.07616i | 0.251523 | + | 0.0622358i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.98528 | + | 15.5630i | −0.517903 | + | 0.897034i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 14.2782 | + | 24.7305i | 0.820260 | + | 1.42073i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −9.89949 | − | 17.1464i | −0.566843 | − | 0.981802i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 12.0000 | 0.684876 | 0.342438 | − | 0.939540i | \(-0.388747\pi\) | ||||
0.342438 | + | 0.939540i | \(0.388747\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 24.0000 | 1.36092 | 0.680458 | − | 0.732787i | \(-0.261781\pi\) | ||||
0.680458 | + | 0.732787i | \(0.261781\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 20.4853 | 1.15790 | 0.578948 | − | 0.815364i | \(-0.303463\pi\) | ||||
0.578948 | + | 0.815364i | \(0.303463\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −17.6569 | + | 30.5826i | −0.994851 | + | 1.72313i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −17.3137 | −0.972435 | −0.486217 | − | 0.873838i | \(-0.661624\pi\) | ||||
−0.486217 | + | 0.873838i | \(0.661624\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −14.0355 | − | 24.3103i | −0.785839 | − | 1.36111i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 23.2279 | + | 40.2319i | 1.29646 | + | 2.24553i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −3.62132 | + | 6.27231i | −0.201496 | + | 0.349001i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3.00000 | − | 10.3923i | −0.166410 | − | 0.576461i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −10.2426 | + | 17.7408i | −0.566419 | + | 0.981067i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −13.2426 | − | 22.9369i | −0.730090 | − | 1.26455i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3.62132 | + | 6.27231i | 0.199046 | + | 0.344757i | 0.948219 | − | 0.317616i | \(-0.102882\pi\) |
−0.749174 | + | 0.662374i | \(0.769549\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −21.1716 | −1.16020 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −18.7279 | + | 32.4377i | −1.02322 | + | 1.77226i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 4.48528 | 0.244329 | 0.122164 | − | 0.992510i | \(-0.461016\pi\) | ||||
0.122164 | + | 0.992510i | \(0.461016\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0.414214 | 0.0224970 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −9.17157 | + | 15.8856i | −0.496669 | + | 0.860255i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 24.2132 | 1.30739 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 4.24264 | + | 7.34847i | 0.228416 | + | 0.395628i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 15.6213 | + | 27.0569i | 0.838596 | + | 1.45249i | 0.891068 | + | 0.453869i | \(0.149957\pi\) |
−0.0524719 | + | 0.998622i | \(0.516710\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −17.2279 | + | 29.8396i | −0.922190 | + | 1.59728i | −0.126170 | + | 0.992009i | \(0.540268\pi\) |
−0.796020 | + | 0.605270i | \(0.793065\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −0.414214 | − | 1.43488i | −0.0221091 | − | 0.0765881i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 7.32843 | − | 12.6932i | 0.390053 | − | 0.675591i | −0.602403 | − | 0.798192i | \(-0.705790\pi\) |
0.992456 | + | 0.122601i | \(0.0391234\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 10.2426 | + | 17.7408i | 0.543623 | + | 0.941583i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −31.0563 | − | 53.7912i | −1.64368 | − | 2.84693i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −8.00000 | −0.422224 | −0.211112 | − | 0.977462i | \(-0.567708\pi\) | ||||
−0.211112 | + | 0.977462i | \(0.567708\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 8.72792 | − | 15.1172i | 0.459364 | − | 0.795642i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 1.17157 | 0.0614916 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 35.3137 | 1.84840 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −4.13604 | + | 7.16383i | −0.215899 | + | 0.373949i | −0.953550 | − | 0.301233i | \(-0.902602\pi\) |
0.737651 | + | 0.675182i | \(0.235935\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −16.4853 | −0.858189 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 6.24264 | + | 10.8126i | 0.324102 | + | 0.561361i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −18.7426 | − | 32.4632i | −0.970457 | − | 1.68088i | −0.694178 | − | 0.719804i | \(-0.744232\pi\) |
−0.276280 | − | 0.961077i | \(-0.589102\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −6.82843 | + | 11.8272i | −0.352618 | + | 0.610753i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 30.2990 | + | 7.49706i | 1.56048 | + | 0.386118i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 13.6924 | − | 23.7159i | 0.703331 | − | 1.21820i | −0.263960 | − | 0.964534i | \(-0.585029\pi\) |
0.967291 | − | 0.253671i | \(-0.0816380\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 1.91421 | + | 3.31552i | 0.0980681 | + | 0.169859i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −7.86396 | − | 13.6208i | −0.401830 | − | 0.695989i | 0.592117 | − | 0.805852i | \(-0.298292\pi\) |
−0.993947 | + | 0.109863i | \(0.964959\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 40.4853 | 2.06332 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −5.75736 | + | 9.97204i | −0.292663 | + | 0.506907i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −16.6274 | −0.843044 | −0.421522 | − | 0.906818i | \(-0.638504\pi\) | ||||
−0.421522 | + | 0.906818i | \(0.638504\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −7.24264 | −0.366276 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −4.82843 | + | 8.36308i | −0.243562 | + | 0.421862i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −16.9706 | −0.853882 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.74264 | + | 9.94655i | 0.288215 | + | 0.499203i | 0.973384 | − | 0.229181i | \(-0.0736049\pi\) |
−0.685169 | + | 0.728384i | \(0.740272\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −6.62132 | − | 11.4685i | −0.331481 | − | 0.574141i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −5.57107 | + | 9.64937i | −0.278206 | + | 0.481867i | −0.970939 | − | 0.239327i | \(-0.923073\pi\) |
0.692733 | + | 0.721194i | \(0.256406\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −5.65685 | − | 19.5959i | −0.281788 | − | 0.976142i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 13.4142 | − | 23.2341i | 0.666558 | − | 1.15451i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 12.1360 | + | 21.0202i | 0.601561 | + | 1.04193i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 5.25736 | + | 9.10601i | 0.259960 | + | 0.450263i | 0.966231 | − | 0.257678i | \(-0.0829574\pi\) |
−0.706271 | + | 0.707941i | \(0.749624\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −22.5563 | −1.11262 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 2.74264 | − | 4.75039i | 0.134957 | − | 0.233752i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 11.3137 | 0.555368 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 3.00000 | 0.146911 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 5.86396 | − | 10.1567i | 0.286473 | − | 0.496186i | −0.686492 | − | 0.727137i | \(-0.740850\pi\) |
0.972965 | + | 0.230951i | \(0.0741837\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.485281 | 0.0236512 | 0.0118256 | − | 0.999930i | \(-0.496236\pi\) | ||||
0.0118256 | + | 0.999930i | \(0.496236\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −8.48528 | − | 14.6969i | −0.412568 | − | 0.714590i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 8.74264 | + | 15.1427i | 0.424080 | + | 0.734529i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −15.4497 | + | 26.7597i | −0.747666 | + | 1.29499i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 19.5711 | − | 20.3389i | 0.944900 | − | 0.981969i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 17.3492 | − | 30.0498i | 0.835684 | − | 1.44745i | −0.0577890 | − | 0.998329i | \(-0.518405\pi\) |
0.893473 | − | 0.449118i | \(-0.148262\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 1.25736 | + | 2.17781i | 0.0604248 | + | 0.104659i | 0.894655 | − | 0.446757i | \(-0.147421\pi\) |
−0.834231 | + | 0.551416i | \(0.814088\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 29.5563 | + | 51.1931i | 1.41712 | + | 2.45452i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −1.54416 | −0.0738670 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 14.0355 | − | 24.3103i | 0.669879 | − | 1.16027i | −0.308058 | − | 0.951368i | \(-0.599679\pi\) |
0.977937 | − | 0.208898i | \(-0.0669876\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 35.3137 | 1.68161 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −28.9706 | −1.37643 | −0.688216 | − | 0.725505i | \(-0.741606\pi\) | ||||
−0.688216 | + | 0.725505i | \(0.741606\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.72792 | − | 8.18900i | 0.224125 | − | 0.388196i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 8.07107 | 0.381748 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −6.25736 | − | 10.8381i | −0.295303 | − | 0.511480i | 0.679752 | − | 0.733442i | \(-0.262087\pi\) |
−0.975055 | + | 0.221962i | \(0.928754\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 9.44975 | + | 16.3674i | 0.444971 | + | 0.770713i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −20.4853 | + | 35.4815i | −0.962482 | + | 1.66707i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −31.2132 | + | 32.4377i | −1.46330 | + | 1.52070i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −15.5000 | + | 26.8468i | −0.725059 | + | 1.25584i | 0.233890 | + | 0.972263i | \(0.424854\pi\) |
−0.958950 | + | 0.283577i | \(0.908479\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 1.20711 | + | 2.09077i | 0.0563429 | + | 0.0975888i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −0.600505 | − | 1.04011i | −0.0279683 | − | 0.0484425i | 0.851702 | − | 0.524026i | \(-0.175570\pi\) |
−0.879671 | + | 0.475583i | \(0.842237\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 18.3431 | 0.852478 | 0.426239 | − | 0.904611i | \(-0.359838\pi\) | ||||
0.426239 | + | 0.904611i | \(0.359838\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 19.3137 | − | 33.4523i | 0.895652 | − | 1.55131i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 6.97056 | 0.322559 | 0.161280 | − | 0.986909i | \(-0.448438\pi\) | ||||
0.161280 | + | 0.986909i | \(0.448438\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 58.4558 | 2.69924 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −0.585786 | + | 1.01461i | −0.0269916 | + | 0.0467508i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 13.2010 | 0.606983 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.86396 | + | 3.22848i | 0.0855244 | + | 0.148133i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 4.00000 | + | 6.92820i | 0.183147 | + | 0.317221i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 4.37868 | − | 7.58410i | 0.200067 | − | 0.346526i | −0.748483 | − | 0.663154i | \(-0.769217\pi\) |
0.948550 | + | 0.316628i | \(0.102551\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −26.1985 | − | 6.48244i | −1.19455 | − | 0.295574i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 6.62132 | − | 11.4685i | 0.301281 | − | 0.521833i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 12.7279 | + | 22.0454i | 0.577945 | + | 1.00103i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 6.44975 | + | 11.1713i | 0.292266 | + | 0.506219i | 0.974345 | − | 0.225059i | \(-0.0722574\pi\) |
−0.682079 | + | 0.731278i | \(0.738924\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −40.4558 | −1.82948 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −11.1066 | + | 19.2372i | −0.501234 | + | 0.868163i | 0.498765 | + | 0.866737i | \(0.333787\pi\) |
−0.999999 | + | 0.00142539i | \(0.999546\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −50.4558 | −2.27242 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 25.9411 | 1.16597 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 15.9853 | − | 27.6873i | 0.717038 | − | 1.24195i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −17.6569 | −0.790429 | −0.395215 | − | 0.918589i | \(-0.629330\pi\) | ||||
−0.395215 | + | 0.918589i | \(0.629330\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −18.9853 | − | 32.8835i | −0.848200 | − | 1.46913i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −7.37868 | − | 12.7802i | −0.328999 | − | 0.569843i | 0.653314 | − | 0.757087i | \(-0.273378\pi\) |
−0.982314 | + | 0.187244i | \(0.940045\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −16.7279 | + | 28.9736i | −0.744383 | + | 1.28931i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 1.20711 | + | 31.3616i | 0.0536095 | + | 1.39282i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 2.57107 | − | 4.45322i | 0.113961 | − | 0.197386i | −0.803403 | − | 0.595435i | \(-0.796980\pi\) |
0.917364 | + | 0.398050i | \(0.130313\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −27.5563 | − | 47.7290i | −1.21902 | − | 2.11141i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0.257359 | + | 0.445759i | 0.0113627 | + | 0.0196808i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −9.72792 | + | 16.8493i | −0.427834 | + | 0.741029i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 21.7279 | 0.953750 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −9.17157 | −0.401814 | −0.200907 | − | 0.979610i | \(-0.564389\pi\) | ||||
−0.200907 | + | 0.979610i | \(0.564389\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 8.20711 | − | 14.2151i | 0.358872 | − | 0.621584i | −0.628901 | − | 0.777485i | \(-0.716495\pi\) |
0.987773 | + | 0.155901i | \(0.0498282\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −31.9706 | −1.39531 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 16.4853 | + | 28.5533i | 0.718110 | + | 1.24380i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 10.7279 | + | 18.5813i | 0.466431 | + | 0.807883i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 1.75736 | − | 3.04384i | 0.0762629 | − | 0.132091i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −20.3995 | − | 5.04757i | −0.883600 | − | 0.218634i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −27.2132 | + | 47.1347i | −1.17653 | + | 2.03781i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −15.3995 | − | 26.6727i | −0.664537 | − | 1.15101i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −20.2426 | − | 35.0613i | −0.871912 | − | 1.51020i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2.00000 | −0.0859867 | −0.0429934 | − | 0.999075i | \(-0.513689\pi\) | ||||
−0.0429934 | + | 0.999075i | \(0.513689\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −0.585786 | + | 1.01461i | −0.0251385 | + | 0.0435412i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −24.0000 | −1.02805 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 36.0000 | 1.53925 | 0.769624 | − | 0.638497i | \(-0.220443\pi\) | ||||
0.769624 | + | 0.638497i | \(0.220443\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −9.89949 | + | 17.1464i | −0.422500 | + | 0.731792i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −10.7574 | −0.458279 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 13.2426 | + | 22.9369i | 0.563134 | + | 0.975377i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −25.5563 | − | 44.2649i | −1.08481 | − | 1.87894i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −4.32843 | + | 7.49706i | −0.183401 | + | 0.317660i | −0.943037 | − | 0.332689i | \(-0.892044\pi\) |
0.759635 | + | 0.650349i | \(0.225377\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −10.1777 | + | 10.5769i | −0.430470 | + | 0.447357i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −22.8137 | + | 39.5145i | −0.963196 | + | 1.66830i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −16.3492 | − | 28.3177i | −0.689038 | − | 1.19345i | −0.972149 | − | 0.234362i | \(-0.924700\pi\) |
0.283111 | − | 0.959087i | \(-0.408634\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.242641 | + | 0.420266i | 0.0102080 | + | 0.0176807i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −41.8701 | −1.75838 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 12.9853 | − | 22.4912i | 0.544371 | − | 0.942879i | −0.454275 | − | 0.890862i | \(-0.650102\pi\) |
0.998646 | − | 0.0520172i | \(-0.0165651\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 40.2843 | 1.68584 | 0.842922 | − | 0.538036i | \(-0.180833\pi\) | ||||
0.842922 | + | 0.538036i | \(0.180833\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −16.3137 | −0.681515 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −1.86396 | + | 3.22848i | −0.0777325 | + | 0.134637i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 4.48528 | 0.186725 | 0.0933624 | − | 0.995632i | \(-0.470238\pi\) | ||||
0.0933624 | + | 0.995632i | \(0.470238\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −23.5208 | − | 40.7392i | −0.977492 | − | 1.69307i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −8.82843 | − | 15.2913i | −0.366265 | − | 0.634389i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 4.58579 | − | 7.94282i | 0.189924 | − | 0.328958i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −20.0000 | + | 20.7846i | −0.826898 | + | 0.859338i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 10.3492 | − | 17.9254i | 0.427159 | − | 0.739861i | −0.569460 | − | 0.822019i | \(-0.692848\pi\) |
0.996619 | + | 0.0821578i | \(0.0261811\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.51472 | + | 6.08767i | 0.144821 | + | 0.250838i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 3.62132 | + | 6.27231i | 0.148961 | + | 0.258008i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 14.8284 | 0.608931 | 0.304465 | − | 0.952523i | \(-0.401522\pi\) | ||||
0.304465 | + | 0.952523i | \(0.401522\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 36.3848 | − | 63.0203i | 1.49163 | − | 2.58358i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 58.4558 | 2.39244 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 47.9411 | 1.95882 | 0.979411 | − | 0.201878i | \(-0.0647045\pi\) | ||||
0.979411 | + | 0.201878i | \(0.0647045\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5.25736 | − | 9.10601i | 0.214452 | − | 0.371442i | −0.738651 | − | 0.674088i | \(-0.764537\pi\) |
0.953103 | + | 0.302646i | \(0.0978701\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 37.4558 | 1.52532 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0.686292 | + | 1.18869i | 0.0279017 | + | 0.0483272i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 0.792893 | + | 1.37333i | 0.0321825 | + | 0.0557418i | 0.881668 | − | 0.471870i | \(-0.156421\pi\) |
−0.849486 | + | 0.527612i | \(0.823088\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 46.1274 | − | 79.8950i | 1.86918 | − | 3.23751i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −6.00000 | − | 20.7846i | −0.242734 | − | 0.840855i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 7.25736 | − | 12.5701i | 0.293122 | − | 0.507702i | −0.681424 | − | 0.731889i | \(-0.738639\pi\) |
0.974546 | + | 0.224186i | \(0.0719725\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −19.8995 | − | 34.4669i | −0.802425 | − | 1.38984i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 22.1569 | + | 38.3768i | 0.892001 | + | 1.54499i | 0.837472 | + | 0.546479i | \(0.184032\pi\) |
0.0545289 | + | 0.998512i | \(0.482634\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.97056 | −0.199784 | −0.0998919 | − | 0.994998i | \(-0.531850\pi\) | ||||
−0.0998919 | + | 0.994998i | \(0.531850\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −0.257359 | + | 0.445759i | −0.0103275 | + | 0.0178877i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −14.7574 | −0.591241 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −31.0000 | −1.24000 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −4.86396 | + | 8.42463i | −0.194248 | + | 0.336447i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 43.6274 | 1.73954 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.62132 | + | 6.27231i | 0.144162 | + | 0.249697i | 0.929060 | − | 0.369929i | \(-0.120618\pi\) |
−0.784898 | + | 0.619625i | \(0.787285\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 16.3995 | + | 28.4048i | 0.651821 | + | 1.12899i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −2.24264 | + | 3.88437i | −0.0889965 | + | 0.154146i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 43.6985 | + | 10.8126i | 1.73140 | + | 0.428410i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 10.2426 | − | 17.7408i | 0.405193 | − | 0.701814i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 11.3995 | + | 19.7445i | 0.450253 | + | 0.779861i | 0.998401 | − | 0.0565200i | \(-0.0180005\pi\) |
−0.548148 | + | 0.836381i | \(0.684667\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 0.106602 | + | 0.184640i | 0.00420396 | + | 0.00728147i | 0.868120 | − | 0.496355i | \(-0.165329\pi\) |
−0.863916 | + | 0.503636i | \(0.831995\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −27.7990 | −1.09458 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −11.6213 | + | 20.1287i | −0.456881 | + | 0.791342i | −0.998794 | − | 0.0490931i | \(-0.984367\pi\) |
0.541913 | + | 0.840435i | \(0.317700\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −4.02944 | −0.158169 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −60.2843 | −2.36273 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −11.5711 | + | 20.0417i | −0.452811 | + | 0.784291i | −0.998559 | − | 0.0536576i | \(-0.982912\pi\) |
0.545749 | + | 0.837949i | \(0.316245\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −11.3137 | −0.442063 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −17.6569 | − | 30.5826i | −0.688859 | − | 1.19314i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 12.1066 | + | 20.9692i | 0.471606 | + | 0.816846i | 0.999472 | − | 0.0324816i | \(-0.0103410\pi\) |
−0.527866 | + | 0.849328i | \(0.677008\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 12.2279 | − | 21.1794i | 0.475611 | − | 0.823782i | −0.523999 | − | 0.851719i | \(-0.675560\pi\) |
0.999610 | + | 0.0279366i | \(0.00889365\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −14.0711 | − | 48.7436i | −0.546475 | − | 1.89304i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 7.75736 | − | 13.4361i | 0.300817 | − | 0.521031i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −5.37868 | − | 9.31615i | −0.208263 | − | 0.360723i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 8.32843 | + | 14.4253i | 0.321996 | + | 0.557713i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 22.6985 | 0.876265 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 4.01472 | − | 6.95370i | 0.154756 | − | 0.268045i | −0.778214 | − | 0.627999i | \(-0.783874\pi\) |
0.932970 | + | 0.359954i | \(0.117208\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 1.24264 | 0.0478293 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −25.4558 | −0.978348 | −0.489174 | − | 0.872186i | \(-0.662702\pi\) | ||||
−0.489174 | + | 0.872186i | \(0.662702\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 19.8640 | − | 34.4054i | 0.762309 | − | 1.32036i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −37.9706 | −1.45504 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 4.62132 | + | 8.00436i | 0.176830 | + | 0.306278i | 0.940793 | − | 0.338982i | \(-0.110082\pi\) |
−0.763963 | + | 0.645260i | \(0.776749\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −13.2132 | − | 22.8859i | −0.504851 | − | 0.874427i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 10.2426 | − | 17.7408i | 0.390781 | − | 0.676853i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 2.82843 | + | 9.79796i | 0.107754 | + | 0.373273i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 8.03553 | − | 13.9180i | 0.305686 | − | 0.529464i | −0.671728 | − | 0.740798i | \(-0.734448\pi\) |
0.977414 | + | 0.211334i | \(0.0677808\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −20.2426 | − | 35.0613i | −0.768954 | − | 1.33187i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 1.75736 | + | 3.04384i | 0.0666604 | + | 0.115459i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 33.9706 | 1.28673 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −24.7279 | + | 42.8300i | −0.935296 | + | 1.61998i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −8.48528 | −0.320485 | −0.160242 | − | 0.987078i | \(-0.551228\pi\) | ||||
−0.160242 | + | 0.987078i | \(0.551228\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 9.30152 | 0.350813 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 20.4853 | − | 35.4815i | 0.771520 | − | 1.33631i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 52.2132 | 1.96368 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 9.74264 | + | 16.8747i | 0.365893 | + | 0.633744i | 0.988919 | − | 0.148456i | \(-0.0474304\pi\) |
−0.623026 | + | 0.782201i | \(0.714097\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 8.48528 | + | 14.6969i | 0.318223 | + | 0.551178i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −3.51472 | + | 6.08767i | −0.131627 | + | 0.227985i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 32.1005 | + | 7.94282i | 1.20049 | + | 0.297044i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −10.8284 | + | 18.7554i | −0.404395 | + | 0.700433i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −11.3787 | − | 19.7085i | −0.424353 | − | 0.735001i | 0.572007 | − | 0.820249i | \(-0.306165\pi\) |
−0.996360 | + | 0.0852478i | \(0.972832\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −73.5269 | −2.73450 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −12.9853 | + | 22.4912i | −0.482261 | + | 0.835301i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −35.3137 | −1.30971 | −0.654856 | − | 0.755753i | \(-0.727271\pi\) | ||||
−0.654856 | + | 0.755753i | \(0.727271\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −23.8284 | −0.882534 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 11.8640 | − | 20.5490i | 0.438804 | − | 0.760032i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 43.9411 | 1.62300 | 0.811501 | − | 0.584351i | \(-0.198651\pi\) | ||||
0.811501 | + | 0.584351i | \(0.198651\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 42.6274 | + | 73.8329i | 1.57234 | + | 2.72337i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −21.4706 | − | 37.1881i | −0.790878 | − | 1.36984i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −15.1066 | + | 26.1654i | −0.555705 | + | 0.962510i | 0.442143 | + | 0.896945i | \(0.354218\pi\) |
−0.997848 | + | 0.0655653i | \(0.979115\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −3.00000 | − | 10.3923i | −0.110208 | − | 0.381771i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −3.62132 | + | 6.27231i | −0.132853 | + | 0.230109i | −0.924775 | − | 0.380513i | \(-0.875747\pi\) |
0.791922 | + | 0.610622i | \(0.209081\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 4.72792 | + | 8.18900i | 0.173218 | + | 0.300022i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −5.65685 | − | 9.79796i | −0.206973 | − | 0.358489i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 84.9411 | 3.10368 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 8.55025 | − | 14.8095i | 0.312003 | − | 0.540405i | −0.666793 | − | 0.745243i | \(-0.732333\pi\) |
0.978796 | + | 0.204838i | \(0.0656667\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −42.7990 | −1.55968 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −48.0000 | −1.74690 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 11.7426 | − | 20.3389i | 0.426794 | − | 0.739228i | −0.569793 | − | 0.821789i | \(-0.692976\pi\) |
0.996586 | + | 0.0825605i | \(0.0263098\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −9.72792 | −0.353101 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −14.7426 | − | 25.5350i | −0.534420 | − | 0.925643i | −0.999191 | − | 0.0402121i | \(-0.987197\pi\) |
0.464771 | − | 0.885431i | \(-0.346137\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 18.7279 | + | 32.4377i | 0.677996 | + | 1.17432i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 23.3137 | − | 40.3805i | 0.842909 | − | 1.45996i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 3.10660 | − | 3.22848i | 0.112173 | − | 0.116573i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 22.7132 | − | 39.3404i | 0.819059 | − | 1.41865i | −0.0873172 | − | 0.996181i | \(-0.527829\pi\) |
0.906376 | − | 0.422471i | \(-0.138837\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 20.2782 | + | 35.1228i | 0.730301 | + | 1.26492i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 5.74264 | + | 9.94655i | 0.206548 | + | 0.357752i | 0.950625 | − | 0.310342i | \(-0.100444\pi\) |
−0.744077 | + | 0.668094i | \(0.767110\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 16.9706 | 0.609601 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −39.8848 | + | 69.0825i | −1.43086 | + | 2.47832i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 7.24264 | 0.259495 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −23.4853 | −0.840369 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −1.79289 | + | 3.10538i | −0.0640728 | + | 0.110977i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −1.37258 | −0.0489896 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −19.0061 | − | 32.9195i | −0.677494 | − | 1.17345i | −0.975733 | − | 0.218963i | \(-0.929733\pi\) |
0.298239 | − | 0.954491i | \(-0.403601\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 11.1569 | + | 19.3242i | 0.397195 | + | 0.687961i | ||||
\(790\) | 0 | 0 |