Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [539,2,Mod(67,539)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(539, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("539.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 539 = 7^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 539.e (of order \(3\), degree \(2\), 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: | \(4.30393666895\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 11) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 67.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 539.67 |
Dual form | 539.2.e.g.177.1 |
$q$-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 \(\left(\mathbb{Z}/539\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(442\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | + | 1.73205i | 0.707107 | + | 1.22474i | 0.965926 | + | 0.258819i | \(0.0833333\pi\) |
−0.258819 | + | 0.965926i | \(0.583333\pi\) | |||||||
\(3\) | −0.500000 | + | 0.866025i | −0.288675 | + | 0.500000i | −0.973494 | − | 0.228714i | \(-0.926548\pi\) |
0.684819 | + | 0.728714i | \(0.259881\pi\) | |||||||
\(4\) | −1.00000 | + | 1.73205i | −0.500000 | + | 0.866025i | ||||
\(5\) | 0.500000 | + | 0.866025i | 0.223607 | + | 0.387298i | 0.955901 | − | 0.293691i | \(-0.0948835\pi\) |
−0.732294 | + | 0.680989i | \(0.761550\pi\) | |||||||
\(6\) | −2.00000 | −0.816497 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.00000 | + | 1.73205i | 0.333333 | + | 0.577350i | ||||
\(10\) | −1.00000 | + | 1.73205i | −0.316228 | + | 0.547723i | ||||
\(11\) | −0.500000 | + | 0.866025i | −0.150756 | + | 0.261116i | ||||
\(12\) | −1.00000 | − | 1.73205i | −0.288675 | − | 0.500000i | ||||
\(13\) | −4.00000 | −1.10940 | −0.554700 | − | 0.832050i | \(-0.687167\pi\) | ||||
−0.554700 | + | 0.832050i | \(0.687167\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.00000 | −0.258199 | ||||||||
\(16\) | 2.00000 | + | 3.46410i | 0.500000 | + | 0.866025i | ||||
\(17\) | −1.00000 | + | 1.73205i | −0.242536 | + | 0.420084i | −0.961436 | − | 0.275029i | \(-0.911312\pi\) |
0.718900 | + | 0.695113i | \(0.244646\pi\) | |||||||
\(18\) | −2.00000 | + | 3.46410i | −0.471405 | + | 0.816497i | ||||
\(19\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(20\) | −2.00000 | −0.447214 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.00000 | −0.426401 | ||||||||
\(23\) | 0.500000 | + | 0.866025i | 0.104257 | + | 0.180579i | 0.913434 | − | 0.406986i | \(-0.133420\pi\) |
−0.809177 | + | 0.587565i | \(0.800087\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.00000 | − | 3.46410i | 0.400000 | − | 0.692820i | ||||
\(26\) | −4.00000 | − | 6.92820i | −0.784465 | − | 1.35873i | ||||
\(27\) | −5.00000 | −0.962250 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(30\) | −1.00000 | − | 1.73205i | −0.182574 | − | 0.316228i | ||||
\(31\) | 3.50000 | − | 6.06218i | 0.628619 | − | 1.08880i | −0.359211 | − | 0.933257i | \(-0.616954\pi\) |
0.987829 | − | 0.155543i | \(-0.0497126\pi\) | |||||||
\(32\) | −4.00000 | + | 6.92820i | −0.707107 | + | 1.22474i | ||||
\(33\) | −0.500000 | − | 0.866025i | −0.0870388 | − | 0.150756i | ||||
\(34\) | −4.00000 | −0.685994 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −4.00000 | −0.666667 | ||||||||
\(37\) | −1.50000 | − | 2.59808i | −0.246598 | − | 0.427121i | 0.715981 | − | 0.698119i | \(-0.245980\pi\) |
−0.962580 | + | 0.270998i | \(0.912646\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.00000 | − | 3.46410i | 0.320256 | − | 0.554700i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 8.00000 | 1.24939 | 0.624695 | − | 0.780869i | \(-0.285223\pi\) | ||||
0.624695 | + | 0.780869i | \(0.285223\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.00000 | −0.914991 | −0.457496 | − | 0.889212i | \(-0.651253\pi\) | ||||
−0.457496 | + | 0.889212i | \(0.651253\pi\) | |||||||
\(44\) | −1.00000 | − | 1.73205i | −0.150756 | − | 0.261116i | ||||
\(45\) | −1.00000 | + | 1.73205i | −0.149071 | + | 0.258199i | ||||
\(46\) | −1.00000 | + | 1.73205i | −0.147442 | + | 0.255377i | ||||
\(47\) | 4.00000 | + | 6.92820i | 0.583460 | + | 1.01058i | 0.995066 | + | 0.0992202i | \(0.0316348\pi\) |
−0.411606 | + | 0.911362i | \(0.635032\pi\) | |||||||
\(48\) | −4.00000 | −0.577350 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 8.00000 | 1.13137 | ||||||||
\(51\) | −1.00000 | − | 1.73205i | −0.140028 | − | 0.242536i | ||||
\(52\) | 4.00000 | − | 6.92820i | 0.554700 | − | 0.960769i | ||||
\(53\) | 3.00000 | − | 5.19615i | 0.412082 | − | 0.713746i | −0.583036 | − | 0.812447i | \(-0.698135\pi\) |
0.995117 | + | 0.0987002i | \(0.0314685\pi\) | |||||||
\(54\) | −5.00000 | − | 8.66025i | −0.680414 | − | 1.17851i | ||||
\(55\) | −1.00000 | −0.134840 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 2.50000 | − | 4.33013i | 0.325472 | − | 0.563735i | −0.656136 | − | 0.754643i | \(-0.727810\pi\) |
0.981608 | + | 0.190909i | \(0.0611434\pi\) | |||||||
\(60\) | 1.00000 | − | 1.73205i | 0.129099 | − | 0.223607i | ||||
\(61\) | 6.00000 | + | 10.3923i | 0.768221 | + | 1.33060i | 0.938527 | + | 0.345207i | \(0.112191\pi\) |
−0.170305 | + | 0.985391i | \(0.554475\pi\) | |||||||
\(62\) | 14.0000 | 1.77800 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −8.00000 | −1.00000 | ||||||||
\(65\) | −2.00000 | − | 3.46410i | −0.248069 | − | 0.429669i | ||||
\(66\) | 1.00000 | − | 1.73205i | 0.123091 | − | 0.213201i | ||||
\(67\) | 3.50000 | − | 6.06218i | 0.427593 | − | 0.740613i | −0.569066 | − | 0.822292i | \(-0.692695\pi\) |
0.996659 | + | 0.0816792i | \(0.0260283\pi\) | |||||||
\(68\) | −2.00000 | − | 3.46410i | −0.242536 | − | 0.420084i | ||||
\(69\) | −1.00000 | −0.120386 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.00000 | −0.356034 | −0.178017 | − | 0.984027i | \(-0.556968\pi\) | ||||
−0.178017 | + | 0.984027i | \(0.556968\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.00000 | − | 3.46410i | 0.234082 | − | 0.405442i | −0.724923 | − | 0.688830i | \(-0.758125\pi\) |
0.959006 | + | 0.283387i | \(0.0914581\pi\) | |||||||
\(74\) | 3.00000 | − | 5.19615i | 0.348743 | − | 0.604040i | ||||
\(75\) | 2.00000 | + | 3.46410i | 0.230940 | + | 0.400000i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 8.00000 | 0.905822 | ||||||||
\(79\) | 5.00000 | + | 8.66025i | 0.562544 | + | 0.974355i | 0.997274 | + | 0.0737937i | \(0.0235106\pi\) |
−0.434730 | + | 0.900561i | \(0.643156\pi\) | |||||||
\(80\) | −2.00000 | + | 3.46410i | −0.223607 | + | 0.387298i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 8.00000 | + | 13.8564i | 0.883452 | + | 1.53018i | ||||
\(83\) | 6.00000 | 0.658586 | 0.329293 | − | 0.944228i | \(-0.393190\pi\) | ||||
0.329293 | + | 0.944228i | \(0.393190\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.00000 | −0.216930 | ||||||||
\(86\) | −6.00000 | − | 10.3923i | −0.646997 | − | 1.12063i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 7.50000 | + | 12.9904i | 0.794998 | + | 1.37698i | 0.922840 | + | 0.385183i | \(0.125862\pi\) |
−0.127842 | + | 0.991795i | \(0.540805\pi\) | |||||||
\(90\) | −4.00000 | −0.421637 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −2.00000 | −0.208514 | ||||||||
\(93\) | 3.50000 | + | 6.06218i | 0.362933 | + | 0.628619i | ||||
\(94\) | −8.00000 | + | 13.8564i | −0.825137 | + | 1.42918i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −4.00000 | − | 6.92820i | −0.408248 | − | 0.707107i | ||||
\(97\) | 7.00000 | 0.710742 | 0.355371 | − | 0.934725i | \(-0.384354\pi\) | ||||
0.355371 | + | 0.934725i | \(0.384354\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −2.00000 | −0.201008 | ||||||||
\(100\) | 4.00000 | + | 6.92820i | 0.400000 | + | 0.692820i | ||||
\(101\) | 1.00000 | − | 1.73205i | 0.0995037 | − | 0.172345i | −0.811976 | − | 0.583691i | \(-0.801608\pi\) |
0.911479 | + | 0.411346i | \(0.134941\pi\) | |||||||
\(102\) | 2.00000 | − | 3.46410i | 0.198030 | − | 0.342997i | ||||
\(103\) | −8.00000 | − | 13.8564i | −0.788263 | − | 1.36531i | −0.927030 | − | 0.374987i | \(-0.877647\pi\) |
0.138767 | − | 0.990325i | \(-0.455686\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 12.0000 | 1.16554 | ||||||||
\(107\) | −9.00000 | − | 15.5885i | −0.870063 | − | 1.50699i | −0.861931 | − | 0.507026i | \(-0.830745\pi\) |
−0.00813215 | − | 0.999967i | \(-0.502589\pi\) | |||||||
\(108\) | 5.00000 | − | 8.66025i | 0.481125 | − | 0.833333i | ||||
\(109\) | −5.00000 | + | 8.66025i | −0.478913 | + | 0.829502i | −0.999708 | − | 0.0241802i | \(-0.992302\pi\) |
0.520794 | + | 0.853682i | \(0.325636\pi\) | |||||||
\(110\) | −1.00000 | − | 1.73205i | −0.0953463 | − | 0.165145i | ||||
\(111\) | 3.00000 | 0.284747 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 9.00000 | 0.846649 | 0.423324 | − | 0.905978i | \(-0.360863\pi\) | ||||
0.423324 | + | 0.905978i | \(0.360863\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.500000 | + | 0.866025i | −0.0466252 | + | 0.0807573i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −4.00000 | − | 6.92820i | −0.369800 | − | 0.640513i | ||||
\(118\) | 10.0000 | 0.920575 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.500000 | − | 0.866025i | −0.0454545 | − | 0.0787296i | ||||
\(122\) | −12.0000 | + | 20.7846i | −1.08643 | + | 1.88175i | ||||
\(123\) | −4.00000 | + | 6.92820i | −0.360668 | + | 0.624695i | ||||
\(124\) | 7.00000 | + | 12.1244i | 0.628619 | + | 1.08880i | ||||
\(125\) | 9.00000 | 0.804984 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.00000 | 0.709885 | 0.354943 | − | 0.934888i | \(-0.384500\pi\) | ||||
0.354943 | + | 0.934888i | \(0.384500\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 3.00000 | − | 5.19615i | 0.264135 | − | 0.457496i | ||||
\(130\) | 4.00000 | − | 6.92820i | 0.350823 | − | 0.607644i | ||||
\(131\) | −9.00000 | − | 15.5885i | −0.786334 | − | 1.36197i | −0.928199 | − | 0.372084i | \(-0.878643\pi\) |
0.141865 | − | 0.989886i | \(-0.454690\pi\) | |||||||
\(132\) | 2.00000 | 0.174078 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 14.0000 | 1.20942 | ||||||||
\(135\) | −2.50000 | − | 4.33013i | −0.215166 | − | 0.372678i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 3.50000 | − | 6.06218i | 0.299025 | − | 0.517927i | −0.676888 | − | 0.736086i | \(-0.736672\pi\) |
0.975913 | + | 0.218159i | \(0.0700052\pi\) | |||||||
\(138\) | −1.00000 | − | 1.73205i | −0.0851257 | − | 0.147442i | ||||
\(139\) | −10.0000 | −0.848189 | −0.424094 | − | 0.905618i | \(-0.639408\pi\) | ||||
−0.424094 | + | 0.905618i | \(0.639408\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −8.00000 | −0.673722 | ||||||||
\(142\) | −3.00000 | − | 5.19615i | −0.251754 | − | 0.436051i | ||||
\(143\) | 2.00000 | − | 3.46410i | 0.167248 | − | 0.289683i | ||||
\(144\) | −4.00000 | + | 6.92820i | −0.333333 | + | 0.577350i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 8.00000 | 0.662085 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 6.00000 | 0.493197 | ||||||||
\(149\) | 5.00000 | + | 8.66025i | 0.409616 | + | 0.709476i | 0.994847 | − | 0.101391i | \(-0.0323294\pi\) |
−0.585231 | + | 0.810867i | \(0.698996\pi\) | |||||||
\(150\) | −4.00000 | + | 6.92820i | −0.326599 | + | 0.565685i | ||||
\(151\) | −1.00000 | + | 1.73205i | −0.0813788 | + | 0.140952i | −0.903842 | − | 0.427865i | \(-0.859266\pi\) |
0.822464 | + | 0.568818i | \(0.192599\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −4.00000 | −0.323381 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 7.00000 | 0.562254 | ||||||||
\(156\) | 4.00000 | + | 6.92820i | 0.320256 | + | 0.554700i | ||||
\(157\) | −3.50000 | + | 6.06218i | −0.279330 | + | 0.483814i | −0.971219 | − | 0.238190i | \(-0.923446\pi\) |
0.691888 | + | 0.722005i | \(0.256779\pi\) | |||||||
\(158\) | −10.0000 | + | 17.3205i | −0.795557 | + | 1.37795i | ||||
\(159\) | 3.00000 | + | 5.19615i | 0.237915 | + | 0.412082i | ||||
\(160\) | −8.00000 | −0.632456 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −2.00000 | −0.157135 | ||||||||
\(163\) | −2.00000 | − | 3.46410i | −0.156652 | − | 0.271329i | 0.777007 | − | 0.629492i | \(-0.216737\pi\) |
−0.933659 | + | 0.358162i | \(0.883403\pi\) | |||||||
\(164\) | −8.00000 | + | 13.8564i | −0.624695 | + | 1.08200i | ||||
\(165\) | 0.500000 | − | 0.866025i | 0.0389249 | − | 0.0674200i | ||||
\(166\) | 6.00000 | + | 10.3923i | 0.465690 | + | 0.806599i | ||||
\(167\) | 12.0000 | 0.928588 | 0.464294 | − | 0.885681i | \(-0.346308\pi\) | ||||
0.464294 | + | 0.885681i | \(0.346308\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 3.00000 | 0.230769 | ||||||||
\(170\) | −2.00000 | − | 3.46410i | −0.153393 | − | 0.265684i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 6.00000 | − | 10.3923i | 0.457496 | − | 0.792406i | ||||
\(173\) | −3.00000 | − | 5.19615i | −0.228086 | − | 0.395056i | 0.729155 | − | 0.684349i | \(-0.239913\pi\) |
−0.957241 | + | 0.289292i | \(0.906580\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −4.00000 | −0.301511 | ||||||||
\(177\) | 2.50000 | + | 4.33013i | 0.187912 | + | 0.325472i | ||||
\(178\) | −15.0000 | + | 25.9808i | −1.12430 | + | 1.94734i | ||||
\(179\) | 7.50000 | − | 12.9904i | 0.560576 | − | 0.970947i | −0.436870 | − | 0.899525i | \(-0.643913\pi\) |
0.997446 | − | 0.0714220i | \(-0.0227537\pi\) | |||||||
\(180\) | −2.00000 | − | 3.46410i | −0.149071 | − | 0.258199i | ||||
\(181\) | −7.00000 | −0.520306 | −0.260153 | − | 0.965567i | \(-0.583773\pi\) | ||||
−0.260153 | + | 0.965567i | \(0.583773\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −12.0000 | −0.887066 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 1.50000 | − | 2.59808i | 0.110282 | − | 0.191014i | ||||
\(186\) | −7.00000 | + | 12.1244i | −0.513265 | + | 0.889001i | ||||
\(187\) | −1.00000 | − | 1.73205i | −0.0731272 | − | 0.126660i | ||||
\(188\) | −16.0000 | −1.16692 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −8.50000 | − | 14.7224i | −0.615038 | − | 1.06528i | −0.990378 | − | 0.138390i | \(-0.955807\pi\) |
0.375339 | − | 0.926887i | \(-0.377526\pi\) | |||||||
\(192\) | 4.00000 | − | 6.92820i | 0.288675 | − | 0.500000i | ||||
\(193\) | −2.00000 | + | 3.46410i | −0.143963 | + | 0.249351i | −0.928986 | − | 0.370116i | \(-0.879318\pi\) |
0.785022 | + | 0.619467i | \(0.212651\pi\) | |||||||
\(194\) | 7.00000 | + | 12.1244i | 0.502571 | + | 0.870478i | ||||
\(195\) | 4.00000 | 0.286446 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −2.00000 | −0.142494 | −0.0712470 | − | 0.997459i | \(-0.522698\pi\) | ||||
−0.0712470 | + | 0.997459i | \(0.522698\pi\) | |||||||
\(198\) | −2.00000 | − | 3.46410i | −0.142134 | − | 0.246183i | ||||
\(199\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 3.50000 | + | 6.06218i | 0.246871 | + | 0.427593i | ||||
\(202\) | 4.00000 | 0.281439 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 4.00000 | 0.280056 | ||||||||
\(205\) | 4.00000 | + | 6.92820i | 0.279372 | + | 0.483887i | ||||
\(206\) | 16.0000 | − | 27.7128i | 1.11477 | − | 1.93084i | ||||
\(207\) | −1.00000 | + | 1.73205i | −0.0695048 | + | 0.120386i | ||||
\(208\) | −8.00000 | − | 13.8564i | −0.554700 | − | 0.960769i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 12.0000 | 0.826114 | 0.413057 | − | 0.910705i | \(-0.364461\pi\) | ||||
0.413057 | + | 0.910705i | \(0.364461\pi\) | |||||||
\(212\) | 6.00000 | + | 10.3923i | 0.412082 | + | 0.713746i | ||||
\(213\) | 1.50000 | − | 2.59808i | 0.102778 | − | 0.178017i | ||||
\(214\) | 18.0000 | − | 31.1769i | 1.23045 | − | 2.13121i | ||||
\(215\) | −3.00000 | − | 5.19615i | −0.204598 | − | 0.354375i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −20.0000 | −1.35457 | ||||||||
\(219\) | 2.00000 | + | 3.46410i | 0.135147 | + | 0.234082i | ||||
\(220\) | 1.00000 | − | 1.73205i | 0.0674200 | − | 0.116775i | ||||
\(221\) | 4.00000 | − | 6.92820i | 0.269069 | − | 0.466041i | ||||
\(222\) | 3.00000 | + | 5.19615i | 0.201347 | + | 0.348743i | ||||
\(223\) | −19.0000 | −1.27233 | −0.636167 | − | 0.771551i | \(-0.719481\pi\) | ||||
−0.636167 | + | 0.771551i | \(0.719481\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 8.00000 | 0.533333 | ||||||||
\(226\) | 9.00000 | + | 15.5885i | 0.598671 | + | 1.03693i | ||||
\(227\) | 9.00000 | − | 15.5885i | 0.597351 | − | 1.03464i | −0.395860 | − | 0.918311i | \(-0.629553\pi\) |
0.993210 | − | 0.116331i | \(-0.0371134\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 7.50000 | + | 12.9904i | 0.495614 | + | 0.858429i | 0.999987 | − | 0.00505719i | \(-0.00160976\pi\) |
−0.504373 | + | 0.863486i | \(0.668276\pi\) | |||||||
\(230\) | −2.00000 | −0.131876 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −12.0000 | − | 20.7846i | −0.786146 | − | 1.36165i | −0.928312 | − | 0.371802i | \(-0.878740\pi\) |
0.142166 | − | 0.989843i | \(-0.454593\pi\) | |||||||
\(234\) | 8.00000 | − | 13.8564i | 0.522976 | − | 0.905822i | ||||
\(235\) | −4.00000 | + | 6.92820i | −0.260931 | + | 0.451946i | ||||
\(236\) | 5.00000 | + | 8.66025i | 0.325472 | + | 0.563735i | ||||
\(237\) | −10.0000 | −0.649570 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −30.0000 | −1.94054 | −0.970269 | − | 0.242028i | \(-0.922188\pi\) | ||||
−0.970269 | + | 0.242028i | \(0.922188\pi\) | |||||||
\(240\) | −2.00000 | − | 3.46410i | −0.129099 | − | 0.223607i | ||||
\(241\) | −4.00000 | + | 6.92820i | −0.257663 | + | 0.446285i | −0.965615 | − | 0.259975i | \(-0.916286\pi\) |
0.707953 | + | 0.706260i | \(0.249619\pi\) | |||||||
\(242\) | 1.00000 | − | 1.73205i | 0.0642824 | − | 0.111340i | ||||
\(243\) | −8.00000 | − | 13.8564i | −0.513200 | − | 0.888889i | ||||
\(244\) | −24.0000 | −1.53644 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −16.0000 | −1.02012 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −3.00000 | + | 5.19615i | −0.190117 | + | 0.329293i | ||||
\(250\) | 9.00000 | + | 15.5885i | 0.569210 | + | 0.985901i | ||||
\(251\) | 23.0000 | 1.45175 | 0.725874 | − | 0.687828i | \(-0.241436\pi\) | ||||
0.725874 | + | 0.687828i | \(0.241436\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.00000 | −0.0628695 | ||||||||
\(254\) | 8.00000 | + | 13.8564i | 0.501965 | + | 0.869428i | ||||
\(255\) | 1.00000 | − | 1.73205i | 0.0626224 | − | 0.108465i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.500000 | + | 0.866025i | ||||
\(257\) | −1.00000 | − | 1.73205i | −0.0623783 | − | 0.108042i | 0.833150 | − | 0.553047i | \(-0.186535\pi\) |
−0.895528 | + | 0.445005i | \(0.853202\pi\) | |||||||
\(258\) | 12.0000 | 0.747087 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 8.00000 | 0.496139 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 18.0000 | − | 31.1769i | 1.11204 | − | 1.92612i | ||||
\(263\) | −7.00000 | + | 12.1244i | −0.431638 | + | 0.747620i | −0.997015 | − | 0.0772134i | \(-0.975398\pi\) |
0.565376 | + | 0.824833i | \(0.308731\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 6.00000 | 0.368577 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −15.0000 | −0.917985 | ||||||||
\(268\) | 7.00000 | + | 12.1244i | 0.427593 | + | 0.740613i | ||||
\(269\) | 5.00000 | − | 8.66025i | 0.304855 | − | 0.528025i | −0.672374 | − | 0.740212i | \(-0.734725\pi\) |
0.977229 | + | 0.212187i | \(0.0680585\pi\) | |||||||
\(270\) | 5.00000 | − | 8.66025i | 0.304290 | − | 0.527046i | ||||
\(271\) | −14.0000 | − | 24.2487i | −0.850439 | − | 1.47300i | −0.880812 | − | 0.473466i | \(-0.843003\pi\) |
0.0303728 | − | 0.999539i | \(-0.490331\pi\) | |||||||
\(272\) | −8.00000 | −0.485071 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 14.0000 | 0.845771 | ||||||||
\(275\) | 2.00000 | + | 3.46410i | 0.120605 | + | 0.208893i | ||||
\(276\) | 1.00000 | − | 1.73205i | 0.0601929 | − | 0.104257i | ||||
\(277\) | 1.00000 | − | 1.73205i | 0.0600842 | − | 0.104069i | −0.834419 | − | 0.551131i | \(-0.814196\pi\) |
0.894503 | + | 0.447062i | \(0.147530\pi\) | |||||||
\(278\) | −10.0000 | − | 17.3205i | −0.599760 | − | 1.03882i | ||||
\(279\) | 14.0000 | 0.838158 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −18.0000 | −1.07379 | −0.536895 | − | 0.843649i | \(-0.680403\pi\) | ||||
−0.536895 | + | 0.843649i | \(0.680403\pi\) | |||||||
\(282\) | −8.00000 | − | 13.8564i | −0.476393 | − | 0.825137i | ||||
\(283\) | 2.00000 | − | 3.46410i | 0.118888 | − | 0.205919i | −0.800439 | − | 0.599414i | \(-0.795400\pi\) |
0.919327 | + | 0.393494i | \(0.128734\pi\) | |||||||
\(284\) | 3.00000 | − | 5.19615i | 0.178017 | − | 0.308335i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 8.00000 | 0.473050 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −16.0000 | −0.942809 | ||||||||
\(289\) | 6.50000 | + | 11.2583i | 0.382353 | + | 0.662255i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −3.50000 | + | 6.06218i | −0.205174 | + | 0.355371i | ||||
\(292\) | 4.00000 | + | 6.92820i | 0.234082 | + | 0.405442i | ||||
\(293\) | −24.0000 | −1.40209 | −0.701047 | − | 0.713115i | \(-0.747284\pi\) | ||||
−0.701047 | + | 0.713115i | \(0.747284\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 5.00000 | 0.291111 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 2.50000 | − | 4.33013i | 0.145065 | − | 0.251259i | ||||
\(298\) | −10.0000 | + | 17.3205i | −0.579284 | + | 1.00335i | ||||
\(299\) | −2.00000 | − | 3.46410i | −0.115663 | − | 0.200334i | ||||
\(300\) | −8.00000 | −0.461880 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −4.00000 | −0.230174 | ||||||||
\(303\) | 1.00000 | + | 1.73205i | 0.0574485 | + | 0.0995037i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −6.00000 | + | 10.3923i | −0.343559 | + | 0.595062i | ||||
\(306\) | −4.00000 | − | 6.92820i | −0.228665 | − | 0.396059i | ||||
\(307\) | −8.00000 | −0.456584 | −0.228292 | − | 0.973593i | \(-0.573314\pi\) | ||||
−0.228292 | + | 0.973593i | \(0.573314\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 16.0000 | 0.910208 | ||||||||
\(310\) | 7.00000 | + | 12.1244i | 0.397573 | + | 0.688617i | ||||
\(311\) | 6.00000 | − | 10.3923i | 0.340229 | − | 0.589294i | −0.644246 | − | 0.764818i | \(-0.722829\pi\) |
0.984475 | + | 0.175525i | \(0.0561621\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.500000 | − | 0.866025i | −0.0282617 | − | 0.0489506i | 0.851549 | − | 0.524276i | \(-0.175664\pi\) |
−0.879810 | + | 0.475325i | \(0.842331\pi\) | |||||||
\(314\) | −14.0000 | −0.790066 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −20.0000 | −1.12509 | ||||||||
\(317\) | −6.50000 | − | 11.2583i | −0.365076 | − | 0.632331i | 0.623712 | − | 0.781654i | \(-0.285624\pi\) |
−0.988788 | + | 0.149323i | \(0.952290\pi\) | |||||||
\(318\) | −6.00000 | + | 10.3923i | −0.336463 | + | 0.582772i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −4.00000 | − | 6.92820i | −0.223607 | − | 0.387298i | ||||
\(321\) | 18.0000 | 1.00466 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −1.00000 | − | 1.73205i | −0.0555556 | − | 0.0962250i | ||||
\(325\) | −8.00000 | + | 13.8564i | −0.443760 | + | 0.768615i | ||||
\(326\) | 4.00000 | − | 6.92820i | 0.221540 | − | 0.383718i | ||||
\(327\) | −5.00000 | − | 8.66025i | −0.276501 | − | 0.478913i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 2.00000 | 0.110096 | ||||||||
\(331\) | −3.50000 | − | 6.06218i | −0.192377 | − | 0.333207i | 0.753660 | − | 0.657264i | \(-0.228286\pi\) |
−0.946038 | + | 0.324057i | \(0.894953\pi\) | |||||||
\(332\) | −6.00000 | + | 10.3923i | −0.329293 | + | 0.570352i | ||||
\(333\) | 3.00000 | − | 5.19615i | 0.164399 | − | 0.284747i | ||||
\(334\) | 12.0000 | + | 20.7846i | 0.656611 | + | 1.13728i | ||||
\(335\) | 7.00000 | 0.382451 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −22.0000 | −1.19842 | −0.599208 | − | 0.800593i | \(-0.704518\pi\) | ||||
−0.599208 | + | 0.800593i | \(0.704518\pi\) | |||||||
\(338\) | 3.00000 | + | 5.19615i | 0.163178 | + | 0.282633i | ||||
\(339\) | −4.50000 | + | 7.79423i | −0.244406 | + | 0.423324i | ||||
\(340\) | 2.00000 | − | 3.46410i | 0.108465 | − | 0.187867i | ||||
\(341\) | 3.50000 | + | 6.06218i | 0.189536 | + | 0.328285i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.500000 | − | 0.866025i | −0.0269191 | − | 0.0466252i | ||||
\(346\) | 6.00000 | − | 10.3923i | 0.322562 | − | 0.558694i | ||||
\(347\) | −14.0000 | + | 24.2487i | −0.751559 | + | 1.30174i | 0.195507 | + | 0.980702i | \(0.437365\pi\) |
−0.947067 | + | 0.321037i | \(0.895969\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −30.0000 | −1.60586 | −0.802932 | − | 0.596071i | \(-0.796728\pi\) | ||||
−0.802932 | + | 0.596071i | \(0.796728\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 20.0000 | 1.06752 | ||||||||
\(352\) | −4.00000 | − | 6.92820i | −0.213201 | − | 0.369274i | ||||
\(353\) | −10.5000 | + | 18.1865i | −0.558859 | + | 0.967972i | 0.438733 | + | 0.898617i | \(0.355427\pi\) |
−0.997592 | + | 0.0693543i | \(0.977906\pi\) | |||||||
\(354\) | −5.00000 | + | 8.66025i | −0.265747 | + | 0.460287i | ||||
\(355\) | −1.50000 | − | 2.59808i | −0.0796117 | − | 0.137892i | ||||
\(356\) | −30.0000 | −1.59000 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 30.0000 | 1.58555 | ||||||||
\(359\) | 10.0000 | + | 17.3205i | 0.527780 | + | 0.914141i | 0.999476 | + | 0.0323801i | \(0.0103087\pi\) |
−0.471696 | + | 0.881761i | \(0.656358\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.50000 | − | 16.4545i | 0.500000 | − | 0.866025i | ||||
\(362\) | −7.00000 | − | 12.1244i | −0.367912 | − | 0.637242i | ||||
\(363\) | 1.00000 | 0.0524864 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 4.00000 | 0.209370 | ||||||||
\(366\) | −12.0000 | − | 20.7846i | −0.627250 | − | 1.08643i | ||||
\(367\) | −8.50000 | + | 14.7224i | −0.443696 | + | 0.768505i | −0.997960 | − | 0.0638362i | \(-0.979666\pi\) |
0.554264 | + | 0.832341i | \(0.313000\pi\) | |||||||
\(368\) | −2.00000 | + | 3.46410i | −0.104257 | + | 0.180579i | ||||
\(369\) | 8.00000 | + | 13.8564i | 0.416463 | + | 0.721336i | ||||
\(370\) | 6.00000 | 0.311925 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −14.0000 | −0.725866 | ||||||||
\(373\) | 13.0000 | + | 22.5167i | 0.673114 | + | 1.16587i | 0.977016 | + | 0.213165i | \(0.0683772\pi\) |
−0.303902 | + | 0.952703i | \(0.598289\pi\) | |||||||
\(374\) | 2.00000 | − | 3.46410i | 0.103418 | − | 0.179124i | ||||
\(375\) | −4.50000 | + | 7.79423i | −0.232379 | + | 0.402492i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −5.00000 | −0.256833 | −0.128416 | − | 0.991720i | \(-0.540989\pi\) | ||||
−0.128416 | + | 0.991720i | \(0.540989\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −4.00000 | + | 6.92820i | −0.204926 | + | 0.354943i | ||||
\(382\) | 17.0000 | − | 29.4449i | 0.869796 | − | 1.50653i | ||||
\(383\) | −0.500000 | − | 0.866025i | −0.0255488 | − | 0.0442518i | 0.852968 | − | 0.521963i | \(-0.174800\pi\) |
−0.878517 | + | 0.477711i | \(0.841467\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −8.00000 | −0.407189 | ||||||||
\(387\) | −6.00000 | − | 10.3923i | −0.304997 | − | 0.528271i | ||||
\(388\) | −7.00000 | + | 12.1244i | −0.355371 | + | 0.615521i | ||||
\(389\) | 7.50000 | − | 12.9904i | 0.380265 | − | 0.658638i | −0.610835 | − | 0.791758i | \(-0.709166\pi\) |
0.991100 | + | 0.133120i | \(0.0424994\pi\) | |||||||
\(390\) | 4.00000 | + | 6.92820i | 0.202548 | + | 0.350823i | ||||
\(391\) | −2.00000 | −0.101144 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 18.0000 | 0.907980 | ||||||||
\(394\) | −2.00000 | − | 3.46410i | −0.100759 | − | 0.174519i | ||||
\(395\) | −5.00000 | + | 8.66025i | −0.251577 | + | 0.435745i | ||||
\(396\) | 2.00000 | − | 3.46410i | 0.100504 | − | 0.174078i | ||||
\(397\) | −1.00000 | − | 1.73205i | −0.0501886 | − | 0.0869291i | 0.839840 | − | 0.542834i | \(-0.182649\pi\) |
−0.890028 | + | 0.455905i | \(0.849316\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 16.0000 | 0.800000 | ||||||||
\(401\) | −1.00000 | − | 1.73205i | −0.0499376 | − | 0.0864945i | 0.839976 | − | 0.542623i | \(-0.182569\pi\) |
−0.889914 | + | 0.456129i | \(0.849236\pi\) | |||||||
\(402\) | −7.00000 | + | 12.1244i | −0.349128 | + | 0.604708i | ||||
\(403\) | −14.0000 | + | 24.2487i | −0.697390 | + | 1.20791i | ||||
\(404\) | 2.00000 | + | 3.46410i | 0.0995037 | + | 0.172345i | ||||
\(405\) | −1.00000 | −0.0496904 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 3.00000 | 0.148704 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −15.0000 | + | 25.9808i | −0.741702 | + | 1.28467i | 0.210017 | + | 0.977698i | \(0.432648\pi\) |
−0.951720 | + | 0.306968i | \(0.900685\pi\) | |||||||
\(410\) | −8.00000 | + | 13.8564i | −0.395092 | + | 0.684319i | ||||
\(411\) | 3.50000 | + | 6.06218i | 0.172642 | + | 0.299025i | ||||
\(412\) | 32.0000 | 1.57653 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −4.00000 | −0.196589 | ||||||||
\(415\) | 3.00000 | + | 5.19615i | 0.147264 | + | 0.255069i | ||||
\(416\) | 16.0000 | − | 27.7128i | 0.784465 | − | 1.35873i | ||||
\(417\) | 5.00000 | − | 8.66025i | 0.244851 | − | 0.424094i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −20.0000 | −0.977064 | −0.488532 | − | 0.872546i | \(-0.662467\pi\) | ||||
−0.488532 | + | 0.872546i | \(0.662467\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 22.0000 | 1.07221 | 0.536107 | − | 0.844150i | \(-0.319894\pi\) | ||||
0.536107 | + | 0.844150i | \(0.319894\pi\) | |||||||
\(422\) | 12.0000 | + | 20.7846i | 0.584151 | + | 1.01178i | ||||
\(423\) | −8.00000 | + | 13.8564i | −0.388973 | + | 0.673722i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 4.00000 | + | 6.92820i | 0.194029 | + | 0.336067i | ||||
\(426\) | 6.00000 | 0.290701 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 36.0000 | 1.74013 | ||||||||
\(429\) | 2.00000 | + | 3.46410i | 0.0965609 | + | 0.167248i | ||||
\(430\) | 6.00000 | − | 10.3923i | 0.289346 | − | 0.501161i | ||||
\(431\) | 9.00000 | − | 15.5885i | 0.433515 | − | 0.750870i | −0.563658 | − | 0.826008i | \(-0.690607\pi\) |
0.997173 | + | 0.0751385i | \(0.0239399\pi\) | |||||||
\(432\) | −10.0000 | − | 17.3205i | −0.481125 | − | 0.833333i | ||||
\(433\) | 11.0000 | 0.528626 | 0.264313 | − | 0.964437i | \(-0.414855\pi\) | ||||
0.264313 | + | 0.964437i | \(0.414855\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −10.0000 | − | 17.3205i | −0.478913 | − | 0.829502i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | −4.00000 | + | 6.92820i | −0.191127 | + | 0.331042i | ||||
\(439\) | 20.0000 | + | 34.6410i | 0.954548 | + | 1.65333i | 0.735399 | + | 0.677634i | \(0.236995\pi\) |
0.219149 | + | 0.975691i | \(0.429672\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 16.0000 | 0.761042 | ||||||||
\(443\) | 5.50000 | + | 9.52628i | 0.261313 | + | 0.452607i | 0.966591 | − | 0.256323i | \(-0.0825112\pi\) |
−0.705278 | + | 0.708931i | \(0.749178\pi\) | |||||||
\(444\) | −3.00000 | + | 5.19615i | −0.142374 | + | 0.246598i | ||||
\(445\) | −7.50000 | + | 12.9904i | −0.355534 | + | 0.615803i | ||||
\(446\) | −19.0000 | − | 32.9090i | −0.899676 | − | 1.55828i | ||||
\(447\) | −10.0000 | −0.472984 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 35.0000 | 1.65175 | 0.825876 | − | 0.563852i | \(-0.190681\pi\) | ||||
0.825876 | + | 0.563852i | \(0.190681\pi\) | |||||||
\(450\) | 8.00000 | + | 13.8564i | 0.377124 | + | 0.653197i | ||||
\(451\) | −4.00000 | + | 6.92820i | −0.188353 | + | 0.326236i | ||||
\(452\) | −9.00000 | + | 15.5885i | −0.423324 | + | 0.733219i | ||||
\(453\) | −1.00000 | − | 1.73205i | −0.0469841 | − | 0.0813788i | ||||
\(454\) | 36.0000 | 1.68956 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 6.00000 | + | 10.3923i | 0.280668 | + | 0.486132i | 0.971549 | − | 0.236837i | \(-0.0761106\pi\) |
−0.690881 | + | 0.722968i | \(0.742777\pi\) | |||||||
\(458\) | −15.0000 | + | 25.9808i | −0.700904 | + | 1.21400i | ||||
\(459\) | 5.00000 | − | 8.66025i | 0.233380 | − | 0.404226i | ||||
\(460\) | −1.00000 | − | 1.73205i | −0.0466252 | − | 0.0807573i | ||||
\(461\) | −12.0000 | −0.558896 | −0.279448 | − | 0.960161i | \(-0.590151\pi\) | ||||
−0.279448 | + | 0.960161i | \(0.590151\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −11.0000 | −0.511213 | −0.255607 | − | 0.966781i | \(-0.582275\pi\) | ||||
−0.255607 | + | 0.966781i | \(0.582275\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −3.50000 | + | 6.06218i | −0.162309 | + | 0.281127i | ||||
\(466\) | 24.0000 | − | 41.5692i | 1.11178 | − | 1.92566i | ||||
\(467\) | −13.5000 | − | 23.3827i | −0.624705 | − | 1.08202i | −0.988598 | − | 0.150581i | \(-0.951886\pi\) |
0.363892 | − | 0.931441i | \(-0.381448\pi\) | |||||||
\(468\) | 16.0000 | 0.739600 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −16.0000 | −0.738025 | ||||||||
\(471\) | −3.50000 | − | 6.06218i | −0.161271 | − | 0.279330i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 3.00000 | − | 5.19615i | 0.137940 | − | 0.238919i | ||||
\(474\) | −10.0000 | − | 17.3205i | −0.459315 | − | 0.795557i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 12.0000 | 0.549442 | ||||||||
\(478\) | −30.0000 | − | 51.9615i | −1.37217 | − | 2.37666i | ||||
\(479\) | 10.0000 | − | 17.3205i | 0.456912 | − | 0.791394i | −0.541884 | − | 0.840453i | \(-0.682289\pi\) |
0.998796 | + | 0.0490589i | \(0.0156222\pi\) | |||||||
\(480\) | 4.00000 | − | 6.92820i | 0.182574 | − | 0.316228i | ||||
\(481\) | 6.00000 | + | 10.3923i | 0.273576 | + | 0.473848i | ||||
\(482\) | −16.0000 | −0.728780 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 2.00000 | 0.0909091 | ||||||||
\(485\) | 3.50000 | + | 6.06218i | 0.158927 | + | 0.275269i | ||||
\(486\) | 16.0000 | − | 27.7128i | 0.725775 | − | 1.25708i | ||||
\(487\) | −11.5000 | + | 19.9186i | −0.521115 | + | 0.902597i | 0.478584 | + | 0.878042i | \(0.341150\pi\) |
−0.999698 | + | 0.0245553i | \(0.992183\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 4.00000 | 0.180886 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −8.00000 | −0.361035 | −0.180517 | − | 0.983572i | \(-0.557777\pi\) | ||||
−0.180517 | + | 0.983572i | \(0.557777\pi\) | |||||||
\(492\) | −8.00000 | − | 13.8564i | −0.360668 | − | 0.624695i | ||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −1.00000 | − | 1.73205i | −0.0449467 | − | 0.0778499i | ||||
\(496\) | 28.0000 | 1.25724 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −12.0000 | −0.537733 | ||||||||
\(499\) | −10.0000 | − | 17.3205i | −0.447661 | − | 0.775372i | 0.550572 | − | 0.834788i | \(-0.314410\pi\) |
−0.998233 | + | 0.0594153i | \(0.981076\pi\) | |||||||
\(500\) | −9.00000 | + | 15.5885i | −0.402492 | + | 0.697137i | ||||
\(501\) | −6.00000 | + | 10.3923i | −0.268060 | + | 0.464294i | ||||
\(502\) | 23.0000 | + | 39.8372i | 1.02654 | + | 1.77802i | ||||
\(503\) | 26.0000 | 1.15928 | 0.579641 | − | 0.814872i | \(-0.303193\pi\) | ||||
0.579641 | + | 0.814872i | \(0.303193\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.00000 | 0.0889988 | ||||||||
\(506\) | −1.00000 | − | 1.73205i | −0.0444554 | − | 0.0769991i | ||||
\(507\) | −1.50000 | + | 2.59808i | −0.0666173 | + | 0.115385i | ||||
\(508\) | −8.00000 | + | 13.8564i | −0.354943 | + | 0.614779i | ||||
\(509\) | 7.50000 | + | 12.9904i | 0.332432 | + | 0.575789i | 0.982988 | − | 0.183669i | \(-0.0587976\pi\) |
−0.650556 | + | 0.759458i | \(0.725464\pi\) | |||||||
\(510\) | 4.00000 | 0.177123 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −32.0000 | −1.41421 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 2.00000 | − | 3.46410i | 0.0882162 | − | 0.152795i | ||||
\(515\) | 8.00000 | − | 13.8564i | 0.352522 | − | 0.610586i | ||||
\(516\) | 6.00000 | + | 10.3923i | 0.264135 | + | 0.457496i | ||||
\(517\) | −8.00000 | −0.351840 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 6.00000 | 0.263371 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −1.50000 | + | 2.59808i | −0.0657162 | + | 0.113824i | −0.897011 | − | 0.442007i | \(-0.854267\pi\) |
0.831295 | + | 0.555831i | \(0.187600\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −8.00000 | − | 13.8564i | −0.349816 | − | 0.605898i | 0.636401 | − | 0.771358i | \(-0.280422\pi\) |
−0.986216 | + | 0.165460i | \(0.947089\pi\) | |||||||
\(524\) | 36.0000 | 1.57267 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −28.0000 | −1.22086 | ||||||||
\(527\) | 7.00000 | + | 12.1244i | 0.304925 | + | 0.528145i | ||||
\(528\) | 2.00000 | − | 3.46410i | 0.0870388 | − | 0.150756i | ||||
\(529\) | 11.0000 | − | 19.0526i | 0.478261 | − | 0.828372i | ||||
\(530\) | 6.00000 | + | 10.3923i | 0.260623 | + | 0.451413i | ||||
\(531\) | 10.0000 | 0.433963 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −32.0000 | −1.38607 | ||||||||
\(534\) | −15.0000 | − | 25.9808i | −0.649113 | − | 1.12430i | ||||
\(535\) | 9.00000 | − | 15.5885i | 0.389104 | − | 0.673948i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 7.50000 | + | 12.9904i | 0.323649 | + | 0.560576i | ||||
\(538\) | 20.0000 | 0.862261 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 10.0000 | 0.430331 | ||||||||
\(541\) | 4.00000 | + | 6.92820i | 0.171973 | + | 0.297867i | 0.939110 | − | 0.343617i | \(-0.111652\pi\) |
−0.767136 | + | 0.641484i | \(0.778319\pi\) | |||||||
\(542\) | 28.0000 | − | 48.4974i | 1.20270 | − | 2.08314i | ||||
\(543\) | 3.50000 | − | 6.06218i | 0.150199 | − | 0.260153i | ||||
\(544\) | −8.00000 | − | 13.8564i | −0.342997 | − | 0.594089i | ||||
\(545\) | −10.0000 | −0.428353 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 8.00000 | 0.342055 | 0.171028 | − | 0.985266i | \(-0.445291\pi\) | ||||
0.171028 | + | 0.985266i | \(0.445291\pi\) | |||||||
\(548\) | 7.00000 | + | 12.1244i | 0.299025 | + | 0.517927i | ||||
\(549\) | −12.0000 | + | 20.7846i | −0.512148 | + | 0.887066i | ||||
\(550\) | −4.00000 | + | 6.92820i | −0.170561 | + | 0.295420i | ||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 4.00000 | 0.169944 | ||||||||
\(555\) | 1.50000 | + | 2.59808i | 0.0636715 | + | 0.110282i | ||||
\(556\) | 10.0000 | − | 17.3205i | 0.424094 | − | 0.734553i | ||||
\(557\) | 1.00000 | − | 1.73205i | 0.0423714 | − | 0.0733893i | −0.844062 | − | 0.536246i | \(-0.819842\pi\) |
0.886433 | + | 0.462856i | \(0.153175\pi\) | |||||||
\(558\) | 14.0000 | + | 24.2487i | 0.592667 | + | 1.02653i | ||||
\(559\) | 24.0000 | 1.01509 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 2.00000 | 0.0844401 | ||||||||
\(562\) | −18.0000 | − | 31.1769i | −0.759284 | − | 1.31512i | ||||
\(563\) | 2.00000 | − | 3.46410i | 0.0842900 | − | 0.145994i | −0.820798 | − | 0.571218i | \(-0.806471\pi\) |
0.905088 | + | 0.425223i | \(0.139804\pi\) | |||||||
\(564\) | 8.00000 | − | 13.8564i | 0.336861 | − | 0.583460i | ||||
\(565\) | 4.50000 | + | 7.79423i | 0.189316 | + | 0.327906i | ||||
\(566\) | 8.00000 | 0.336265 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 14.0000 | − | 24.2487i | 0.585882 | − | 1.01478i | −0.408883 | − | 0.912587i | \(-0.634082\pi\) |
0.994765 | − | 0.102190i | \(-0.0325850\pi\) | |||||||
\(572\) | 4.00000 | + | 6.92820i | 0.167248 | + | 0.289683i | ||||
\(573\) | 17.0000 | 0.710185 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 4.00000 | 0.166812 | ||||||||
\(576\) | −8.00000 | − | 13.8564i | −0.333333 | − | 0.577350i | ||||
\(577\) | 16.5000 | − | 28.5788i | 0.686904 | − | 1.18975i | −0.285930 | − | 0.958250i | \(-0.592303\pi\) |
0.972834 | − | 0.231502i | \(-0.0743641\pi\) | |||||||
\(578\) | −13.0000 | + | 22.5167i | −0.540729 | + | 0.936570i | ||||
\(579\) | −2.00000 | − | 3.46410i | −0.0831172 | − | 0.143963i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −14.0000 | −0.580319 | ||||||||
\(583\) | 3.00000 | + | 5.19615i | 0.124247 | + | 0.215203i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 4.00000 | − | 6.92820i | 0.165380 | − | 0.286446i | ||||
\(586\) | −24.0000 | − | 41.5692i | −0.991431 | − | 1.71721i | ||||
\(587\) | −28.0000 | −1.15568 | −0.577842 | − | 0.816149i | \(-0.696105\pi\) | ||||
−0.577842 | + | 0.816149i | \(0.696105\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 5.00000 | + | 8.66025i | 0.205847 | + | 0.356537i | ||||
\(591\) | 1.00000 | − | 1.73205i | 0.0411345 | − | 0.0712470i | ||||
\(592\) | 6.00000 | − | 10.3923i | 0.246598 | − | 0.427121i | ||||
\(593\) | 22.0000 | + | 38.1051i | 0.903432 | + | 1.56479i | 0.823009 | + | 0.568029i | \(0.192294\pi\) |
0.0804231 | + | 0.996761i | \(0.474373\pi\) | |||||||
\(594\) | 10.0000 | 0.410305 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −20.0000 | −0.819232 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 4.00000 | − | 6.92820i | 0.163572 | − | 0.283315i | ||||
\(599\) | −20.0000 | + | 34.6410i | −0.817178 | + | 1.41539i | 0.0905757 | + | 0.995890i | \(0.471129\pi\) |
−0.907754 | + | 0.419504i | \(0.862204\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −2.00000 | −0.0815817 | −0.0407909 | − | 0.999168i | \(-0.512988\pi\) | ||||
−0.0407909 | + | 0.999168i | \(0.512988\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 14.0000 | 0.570124 | ||||||||
\(604\) | −2.00000 | − | 3.46410i | −0.0813788 | − | 0.140952i | ||||
\(605\) | 0.500000 | − | 0.866025i | 0.0203279 | − | 0.0352089i | ||||
\(606\) | −2.00000 | + | 3.46410i | −0.0812444 | + | 0.140720i | ||||
\(607\) | −11.0000 | − | 19.0526i | −0.446476 | − | 0.773320i | 0.551678 | − | 0.834058i | \(-0.313988\pi\) |
−0.998154 | + | 0.0607380i | \(0.980655\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −24.0000 | −0.971732 | ||||||||
\(611\) | −16.0000 | − | 27.7128i | −0.647291 | − | 1.12114i | ||||
\(612\) | 4.00000 | − | 6.92820i | 0.161690 | − | 0.280056i | ||||
\(613\) | 8.00000 | − | 13.8564i | 0.323117 | − | 0.559655i | −0.658012 | − | 0.753007i | \(-0.728603\pi\) |
0.981129 | + | 0.193352i | \(0.0619359\pi\) | |||||||
\(614\) | −8.00000 | − | 13.8564i | −0.322854 | − | 0.559199i | ||||
\(615\) | −8.00000 | −0.322591 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 18.0000 | 0.724653 | 0.362326 | − | 0.932051i | \(-0.381983\pi\) | ||||
0.362326 | + | 0.932051i | \(0.381983\pi\) | |||||||
\(618\) | 16.0000 | + | 27.7128i | 0.643614 | + | 1.11477i | ||||
\(619\) | −12.5000 | + | 21.6506i | −0.502417 | + | 0.870212i | 0.497579 | + | 0.867419i | \(0.334223\pi\) |
−0.999996 | + | 0.00279365i | \(0.999111\pi\) | |||||||
\(620\) | −7.00000 | + | 12.1244i | −0.281127 | + | 0.486926i | ||||
\(621\) | −2.50000 | − | 4.33013i | −0.100322 | − | 0.173762i | ||||
\(622\) | 24.0000 | 0.962312 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 16.0000 | 0.640513 | ||||||||
\(625\) | −5.50000 | − | 9.52628i | −0.220000 | − | 0.381051i | ||||
\(626\) | 1.00000 | − | 1.73205i | 0.0399680 | − | 0.0692267i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −7.00000 | − | 12.1244i | −0.279330 | − | 0.483814i | ||||
\(629\) | 6.00000 | 0.239236 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 7.00000 | 0.278666 | 0.139333 | − | 0.990246i | \(-0.455504\pi\) | ||||
0.139333 | + | 0.990246i | \(0.455504\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −6.00000 | + | 10.3923i | −0.238479 | + | 0.413057i | ||||
\(634\) | 13.0000 | − | 22.5167i | 0.516296 | − | 0.894251i | ||||
\(635\) | 4.00000 | + | 6.92820i | 0.158735 | + | 0.274937i | ||||
\(636\) | −12.0000 | −0.475831 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −3.00000 | − | 5.19615i | −0.118678 | − | 0.205557i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 16.5000 | − | 28.5788i | 0.651711 | − | 1.12880i | −0.330997 | − | 0.943632i | \(-0.607385\pi\) |
0.982708 | − | 0.185164i | \(-0.0592817\pi\) | |||||||
\(642\) | 18.0000 | + | 31.1769i | 0.710403 | + | 1.23045i | ||||
\(643\) | −29.0000 | −1.14365 | −0.571824 | − | 0.820376i | \(-0.693764\pi\) | ||||
−0.571824 | + | 0.820376i | \(0.693764\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 6.00000 | 0.236250 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −3.50000 | + | 6.06218i | −0.137599 | + | 0.238329i | −0.926587 | − | 0.376080i | \(-0.877272\pi\) |
0.788988 | + | 0.614408i | \(0.210605\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 2.50000 | + | 4.33013i | 0.0981336 | + | 0.169972i | ||||
\(650\) | −32.0000 | −1.25514 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 8.00000 | 0.313304 | ||||||||
\(653\) | 20.5000 | + | 35.5070i | 0.802227 | + | 1.38950i | 0.918147 | + | 0.396239i | \(0.129685\pi\) |
−0.115920 | + | 0.993259i | \(0.536982\pi\) | |||||||
\(654\) | 10.0000 | − | 17.3205i | 0.391031 | − | 0.677285i | ||||
\(655\) | 9.00000 | − | 15.5885i | 0.351659 | − | 0.609091i | ||||
\(656\) | 16.0000 | + | 27.7128i | 0.624695 | + | 1.08200i | ||||
\(657\) | 8.00000 | 0.312110 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 10.0000 | 0.389545 | 0.194772 | − | 0.980848i | \(-0.437603\pi\) | ||||
0.194772 | + | 0.980848i | \(0.437603\pi\) | |||||||
\(660\) | 1.00000 | + | 1.73205i | 0.0389249 | + | 0.0674200i | ||||
\(661\) | 18.5000 | − | 32.0429i | 0.719567 | − | 1.24633i | −0.241605 | − | 0.970375i | \(-0.577674\pi\) |
0.961172 | − | 0.275951i | \(-0.0889928\pi\) | |||||||
\(662\) | 7.00000 | − | 12.1244i | 0.272063 | − | 0.471226i | ||||
\(663\) | 4.00000 | + | 6.92820i | 0.155347 | + | 0.269069i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 12.0000 | 0.464991 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −12.0000 | + | 20.7846i | −0.464294 | + | 0.804181i | ||||
\(669\) | 9.50000 | − | 16.4545i | 0.367291 | − | 0.636167i | ||||
\(670\) | 7.00000 | + | 12.1244i | 0.270434 | + | 0.468405i | ||||
\(671\) | −12.0000 | −0.463255 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 14.0000 | 0.539660 | 0.269830 | − | 0.962908i | \(-0.413032\pi\) | ||||
0.269830 | + | 0.962908i | \(0.413032\pi\) | |||||||
\(674\) | −22.0000 | − | 38.1051i | −0.847408 | − | 1.46775i | ||||
\(675\) | −10.0000 | + | 17.3205i | −0.384900 | + | 0.666667i | ||||
\(676\) | −3.00000 | + | 5.19615i | −0.115385 | + | 0.199852i | ||||
\(677\) | −21.0000 | − | 36.3731i | −0.807096 | − | 1.39793i | −0.914867 | − | 0.403755i | \(-0.867705\pi\) |
0.107772 | − | 0.994176i | \(-0.465628\pi\) | |||||||
\(678\) | −18.0000 | −0.691286 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 9.00000 | + | 15.5885i | 0.344881 | + | 0.597351i | ||||
\(682\) | −7.00000 | + | 12.1244i | −0.268044 | + | 0.464266i | ||||
\(683\) | 8.00000 | − | 13.8564i | 0.306111 | − | 0.530201i | −0.671397 | − | 0.741098i | \(-0.734305\pi\) |
0.977508 | + | 0.210898i | \(0.0676386\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 7.00000 | 0.267456 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −15.0000 | −0.572286 | ||||||||
\(688\) | −12.0000 | − | 20.7846i | −0.457496 | − | 0.792406i | ||||
\(689\) | −12.0000 | + | 20.7846i | −0.457164 | + | 0.791831i | ||||
\(690\) | 1.00000 | − | 1.73205i | 0.0380693 | − | 0.0659380i | ||||
\(691\) | 8.50000 | + | 14.7224i | 0.323355 | + | 0.560068i | 0.981178 | − | 0.193105i | \(-0.0618558\pi\) |
−0.657823 | + | 0.753173i | \(0.728522\pi\) | |||||||
\(692\) | 12.0000 | 0.456172 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −56.0000 | −2.12573 | ||||||||
\(695\) | −5.00000 | − | 8.66025i | −0.189661 | − | 0.328502i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −8.00000 | + | 13.8564i | −0.303022 | + | 0.524849i | ||||
\(698\) | −30.0000 | − | 51.9615i | −1.13552 | − | 1.96677i | ||||
\(699\) | 24.0000 | 0.907763 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 2.00000 | 0.0755390 | 0.0377695 | − | 0.999286i | \(-0.487975\pi\) | ||||
0.0377695 | + | 0.999286i | \(0.487975\pi\) | |||||||
\(702\) | 20.0000 | + | 34.6410i | 0.754851 | + | 1.30744i | ||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 4.00000 | − | 6.92820i | 0.150756 | − | 0.261116i | ||||
\(705\) | −4.00000 | − | 6.92820i | −0.150649 | − | 0.260931i | ||||
\(706\) | −42.0000 | −1.58069 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −10.0000 | −0.375823 | ||||||||
\(709\) | 12.5000 | + | 21.6506i | 0.469447 | + | 0.813107i | 0.999390 | − | 0.0349269i | \(-0.0111198\pi\) |
−0.529943 | + | 0.848034i | \(0.677787\pi\) | |||||||
\(710\) | 3.00000 | − | 5.19615i | 0.112588 | − | 0.195008i | ||||
\(711\) | −10.0000 | + | 17.3205i | −0.375029 | + | 0.649570i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 7.00000 | 0.262152 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 4.00000 | 0.149592 | ||||||||
\(716\) | 15.0000 | + | 25.9808i | 0.560576 | + | 0.970947i | ||||
\(717\) | 15.0000 | − | 25.9808i | 0.560185 | − | 0.970269i | ||||
\(718\) | −20.0000 | + | 34.6410i | −0.746393 | + | 1.29279i | ||||
\(719\) | 7.50000 | + | 12.9904i | 0.279703 | + | 0.484459i | 0.971311 | − | 0.237814i | \(-0.0764307\pi\) |
−0.691608 | + | 0.722273i | \(0.743097\pi\) | |||||||
\(720\) | −8.00000 | −0.298142 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 38.0000 | 1.41421 | ||||||||
\(723\) | −4.00000 | − | 6.92820i | −0.148762 | − | 0.257663i | ||||
\(724\) | 7.00000 | − | 12.1244i | 0.260153 | − | 0.450598i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 1.00000 | + | 1.73205i | 0.0371135 | + | 0.0642824i | ||||
\(727\) | −3.00000 | −0.111264 | −0.0556319 | − | 0.998451i | \(-0.517717\pi\) | ||||
−0.0556319 | + | 0.998451i | \(0.517717\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 13.0000 | 0.481481 | ||||||||
\(730\) | 4.00000 | + | 6.92820i | 0.148047 | + | 0.256424i | ||||
\(731\) | 6.00000 | − | 10.3923i | 0.221918 | − | 0.384373i | ||||
\(732\) | 12.0000 | − | 20.7846i | 0.443533 | − | 0.768221i | ||||
\(733\) | −18.0000 | − | 31.1769i | −0.664845 | − | 1.15155i | −0.979327 | − | 0.202282i | \(-0.935164\pi\) |
0.314482 | − | 0.949263i | \(-0.398169\pi\) | |||||||
\(734\) | −34.0000 | −1.25496 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −8.00000 | −0.294884 | ||||||||
\(737\) | 3.50000 | + | 6.06218i | 0.128924 | + | 0.223303i | ||||
\(738\) | −16.0000 | + | 27.7128i | −0.588968 | + | 1.02012i | ||||
\(739\) | −25.0000 | + | 43.3013i | −0.919640 | + | 1.59286i | −0.119677 | + | 0.992813i | \(0.538186\pi\) |
−0.799962 | + | 0.600050i | \(0.795147\pi\) | |||||||
\(740\) | 3.00000 | + | 5.19615i | 0.110282 | + | 0.191014i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 4.00000 | 0.146746 | 0.0733729 | − | 0.997305i | \(-0.476624\pi\) | ||||
0.0733729 | + | 0.997305i | \(0.476624\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −5.00000 | + | 8.66025i | −0.183186 | + | 0.317287i | ||||
\(746\) | −26.0000 | + | 45.0333i | −0.951928 | + | 1.64879i | ||||
\(747\) | 6.00000 | + | 10.3923i | 0.219529 | + | 0.380235i | ||||
\(748\) | 4.00000 | 0.146254 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −18.0000 | −0.657267 | ||||||||
\(751\) | 11.5000 | + | 19.9186i | 0.419641 | + | 0.726839i | 0.995903 | − | 0.0904254i | \(-0.0288227\pi\) |
−0.576262 | + | 0.817265i | \(0.695489\pi\) | |||||||
\(752\) | −16.0000 | + | 27.7128i | −0.583460 | + | 1.01058i | ||||
\(753\) | −11.5000 | + | 19.9186i | −0.419083 | + | 0.725874i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −2.00000 | −0.0727875 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −22.0000 | −0.799604 | −0.399802 | − | 0.916602i | \(-0.630921\pi\) | ||||
−0.399802 | + | 0.916602i | \(0.630921\pi\) | |||||||
\(758\) | −5.00000 | − | 8.66025i | −0.181608 | − | 0.314555i | ||||
\(759\) | 0.500000 | − | 0.866025i | 0.0181489 | − | 0.0314347i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 6.00000 | + | 10.3923i | 0.217500 | + | 0.376721i | 0.954043 | − | 0.299670i | \(-0.0968765\pi\) |
−0.736543 | + | 0.676391i | \(0.763543\pi\) | |||||||
\(762\) | −16.0000 | −0.579619 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 34.0000 | 1.23008 | ||||||||
\(765\) | −2.00000 | − | 3.46410i | −0.0723102 | − | 0.125245i | ||||
\(766\) | 1.00000 | − | 1.73205i | 0.0361315 | − | 0.0625815i | ||||
\(767\) | −10.0000 | + | 17.3205i | −0.361079 | + | 0.625407i | ||||
\(768\) | −8.00000 | − | 13.8564i | −0.288675 | − | 0.500000i | ||||
\(769\) | −20.0000 | −0.721218 | −0.360609 | − | 0.932717i | \(-0.617431\pi\) | ||||
−0.360609 | + | 0.932717i | \(0.617431\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 2.00000 | 0.0720282 | ||||||||
\(772\) | −4.00000 | − | 6.92820i | −0.143963 | − | 0.249351i | ||||
\(773\) | −3.00000 | + | 5.19615i | −0.107903 | + | 0.186893i | −0.914920 | − | 0.403634i | \(-0.867747\pi\) |
0.807018 | + | 0.590527i | \(0.201080\pi\) | |||||||
\(774\) | 12.0000 | − | 20.7846i | 0.431331 | − | 0.747087i | ||||
\(775\) | −14.0000 | − | 24.2487i | −0.502895 | − | 0.871039i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 30.0000 | 1.07555 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | −4.00000 | + | 6.92820i | −0.143223 | + | 0.248069i | ||||
\(781\) | 1.50000 | − | 2.59808i | 0.0536742 | − | 0.0929665i | ||||
\(782\) | −2.00000 | − | 3.46410i | −0.0715199 | − | 0.123876i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −7.00000 | −0.249841 | ||||||||
\(786\) | 18.0000 | + | 31.1769i | 0.642039 | + | 1.11204i | ||||
\(787\) | −16.0000 | + | 27.7128i | −0.570338 | + | 0.987855i | 0.426193 | + | 0.904632i | \(0.359855\pi\) |
−0.996531 | + | 0.0832226i | \(0.973479\pi\) | |||||||
\(788\) | 2.00000 | − | 3.46410i | 0.0712470 | − | 0.123404i | ||||
\(789\) | −7.00000 | − | 12.1244i | −0.249207 | − | 0.431638i | ||||
\(790\) | −20.0000 | −0.711568 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −24.0000 | − | 41.5692i | −0.852265 | − | 1.47617i | ||||
\(794\) | 2.00000 | − | 3.46410i | 0.0709773 | − | 0.122936i | ||||
\(795\) | −3.00000 | + | 5.19615i | −0.106399 | + | 0.184289i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −53.0000 | −1.87736 | −0.938678 | − | 0.344795i | \(-0.887949\pi\) | ||||
−0.938678 | + | 0.344795i | \(0.887949\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −16.0000 | −0.566039 | ||||||||
\(800\) | 16.0000 | + | 27.7128i | 0.565685 | + | 0.979796i | ||||
\(801\) | −15.0000 | + | 25.9808i | −0.529999 | + | 0.917985i | ||||
\(802\) | 2.00000 | − | 3.46410i | 0.0706225 | − | 0.122322i | ||||
\(803\) | 2.00000 | + | 3.46410i | 0.0705785 | + | 0.122245i | ||||
\(804\) | −14.0000 | −0.493742 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −56.0000 | −1.97252 | ||||||||
\(807\) | 5.00000 | + | 8.66025i | 0.176008 | + | 0.304855i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(810\) | −1.00000 | − | 1.73205i | −0.0351364 | − | 0.0608581i | ||||
\(811\) | 38.0000 | 1.33436 | 0.667180 | − | 0.744896i | \(-0.267501\pi\) | ||||
0.667180 | + | 0.744896i | \(0.267501\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 28.0000 | 0.982003 | ||||||||
\(814\) | 3.00000 | + | 5.19615i | 0.105150 | + | 0.182125i | ||||
\(815\) | 2.00000 | − | 3.46410i | 0.0700569 | − | 0.121342i | ||||
\(816\) | 4.00000 | − | 6.92820i | 0.140028 | − | 0.242536i | ||||
\(817\) | 0 | 0 | ||||||||
\(818\) | −60.0000 | −2.09785 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −16.0000 | −0.558744 | ||||||||
\(821\) | −11.0000 | − | 19.0526i | −0.383903 | − | 0.664939i | 0.607714 | − | 0.794156i | \(-0.292087\pi\) |
−0.991616 | + | 0.129217i | \(0.958754\pi\) | |||||||
\(822\) | −7.00000 | + | 12.1244i | −0.244153 | + | 0.422885i | ||||
\(823\) | −19.5000 | + | 33.7750i | −0.679727 | + | 1.17732i | 0.295336 | + | 0.955394i | \(0.404569\pi\) |
−0.975063 | + | 0.221929i | \(0.928765\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −4.00000 | −0.139262 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −52.0000 | −1.80822 | −0.904109 | − | 0.427303i | \(-0.859464\pi\) | ||||
−0.904109 | + | 0.427303i | \(0.859464\pi\) | |||||||
\(828\) | −2.00000 | − | 3.46410i | −0.0695048 | − | 0.120386i | ||||
\(829\) | 12.5000 | − | 21.6506i | 0.434143 | − | 0.751958i | −0.563082 | − | 0.826401i | \(-0.690385\pi\) |
0.997225 | + | 0.0744432i | \(0.0237179\pi\) | |||||||
\(830\) | −6.00000 | + | 10.3923i | −0.208263 | + | 0.360722i | ||||
\(831\) | 1.00000 | + | 1.73205i | 0.0346896 | + | 0.0600842i | ||||
\(832\) | 32.0000 | 1.10940 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 20.0000 | 0.692543 | ||||||||
\(835\) | 6.00000 | + | 10.3923i | 0.207639 | + | 0.359641i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −17.5000 | + | 30.3109i | −0.604888 | + | 1.04770i | ||||
\(838\) | −20.0000 | − | 34.6410i | −0.690889 | − | 1.19665i | ||||
\(839\) | 5.00000 | 0.172619 | 0.0863096 | − | 0.996268i | \(-0.472493\pi\) | ||||
0.0863096 | + | 0.996268i | \(0.472493\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −29.0000 | −1.00000 | ||||||||
\(842\) | 22.0000 | + | 38.1051i | 0.758170 | + | 1.31319i | ||||
\(843\) | 9.00000 | − | 15.5885i | 0.309976 | − | 0.536895i | ||||
\(844\) | −12.0000 | + | 20.7846i | −0.413057 | + | 0.715436i | ||||
\(845\) | 1.50000 | + | 2.59808i | 0.0516016 | + | 0.0893765i | ||||
\(846\) | −32.0000 | −1.10018 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 24.0000 | 0.824163 | ||||||||
\(849\) | 2.00000 | + | 3.46410i | 0.0686398 | + | 0.118888i | ||||
\(850\) | −8.00000 | + | 13.8564i | −0.274398 | + | 0.475271i | ||||
\(851\) | 1.50000 | − | 2.59808i | 0.0514193 | − | 0.0890609i | ||||
\(852\) | 3.00000 | + | 5.19615i | 0.102778 | + | 0.178017i | ||||
\(853\) | −14.0000 | −0.479351 | −0.239675 | − | 0.970853i | \(-0.577041\pi\) | ||||
−0.239675 | + | 0.970853i | \(0.577041\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 4.00000 | − | 6.92820i | 0.136637 | − | 0.236663i | −0.789584 | − | 0.613642i | \(-0.789704\pi\) |
0.926222 | + | 0.376979i | \(0.123037\pi\) | |||||||
\(858\) | −4.00000 | + | 6.92820i | −0.136558 | + | 0.236525i | ||||
\(859\) | −7.50000 | − | 12.9904i | −0.255897 | − | 0.443226i | 0.709242 | − | 0.704965i | \(-0.249037\pi\) |
−0.965139 | + | 0.261739i | \(0.915704\pi\) | |||||||
\(860\) | 12.0000 | 0.409197 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 36.0000 | 1.22616 | ||||||||
\(863\) | −12.0000 | − | 20.7846i | −0.408485 | − | 0.707516i | 0.586235 | − | 0.810141i | \(-0.300609\pi\) |
−0.994720 | + | 0.102624i | \(0.967276\pi\) | |||||||
\(864\) | 20.0000 | − | 34.6410i | 0.680414 | − | 1.17851i | ||||
\(865\) | 3.00000 | − | 5.19615i | 0.102003 | − | 0.176674i | ||||
\(866\) | 11.0000 | + | 19.0526i | 0.373795 | + | 0.647432i | ||||
\(867\) | −13.0000 | −0.441503 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −10.0000 | −0.339227 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −14.0000 | + | 24.2487i | −0.474372 | + | 0.821636i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 7.00000 | + | 12.1244i | 0.236914 | + | 0.410347i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −8.00000 | −0.270295 | ||||||||
\(877\) | 6.00000 | + | 10.3923i | 0.202606 | + | 0.350923i | 0.949367 | − | 0.314169i | \(-0.101726\pi\) |
−0.746762 | + | 0.665092i | \(0.768392\pi\) | |||||||
\(878\) | −40.0000 | + | 69.2820i | −1.34993 | + | 2.33816i | ||||
\(879\) | 12.0000 | − | 20.7846i | 0.404750 | − | 0.701047i | ||||
\(880\) | −2.00000 | − | 3.46410i | −0.0674200 | − | 0.116775i | ||||
\(881\) | 43.0000 | 1.44871 | 0.724353 | − | 0.689429i | \(-0.242138\pi\) | ||||
0.724353 | + | 0.689429i | \(0.242138\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 4.00000 | 0.134611 | 0.0673054 | − | 0.997732i | \(-0.478560\pi\) | ||||
0.0673054 | + | 0.997732i | \(0.478560\pi\) | |||||||
\(884\) | 8.00000 | + | 13.8564i | 0.269069 | + | 0.466041i | ||||
\(885\) | −2.50000 | + | 4.33013i | −0.0840366 | + | 0.145556i | ||||
\(886\) | −11.0000 | + | 19.0526i | −0.369552 | + | 0.640083i | ||||
\(887\) | −11.0000 | − | 19.0526i | −0.369344 | − | 0.639722i | 0.620119 | − | 0.784508i | \(-0.287084\pi\) |
−0.989463 | + | 0.144785i | \(0.953751\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −30.0000 | −1.00560 | ||||||||
\(891\) | −0.500000 | − | 0.866025i | −0.0167506 | − | 0.0290129i | ||||
\(892\) | 19.0000 | − | 32.9090i | 0.636167 | − | 1.10187i | ||||
\(893\) | 0 | 0 | ||||||||
\(894\) | −10.0000 | − | 17.3205i | −0.334450 | − | 0.579284i | ||||
\(895\) | 15.0000 | 0.501395 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 4.00000 | 0.133556 | ||||||||
\(898\) | 35.0000 | + | 60.6218i | 1.16797 | + | 2.02297i | ||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −8.00000 | + | 13.8564i | −0.266667 | + | 0.461880i | ||||
\(901\) | 6.00000 | + | 10.3923i | 0.199889 | + | 0.346218i | ||||
\(902\) | −16.0000 | −0.532742 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −3.50000 | − | 6.06218i | −0.116344 | − | 0.201514i | ||||
\(906\) | 2.00000 | − | 3.46410i | 0.0664455 | − | 0.115087i | ||||
\(907\) | 6.00000 | − | 10.3923i | 0.199227 | − | 0.345071i | −0.749051 | − | 0.662512i | \(-0.769490\pi\) |
0.948278 | + | 0.317441i | \(0.102824\pi\) | |||||||
\(908\) | 18.0000 | + | 31.1769i | 0.597351 | + | 1.03464i | ||||
\(909\) | 4.00000 | 0.132672 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 12.0000 | 0.397578 | 0.198789 | − | 0.980042i | \(-0.436299\pi\) | ||||
0.198789 | + | 0.980042i | \(0.436299\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −3.00000 | + | 5.19615i | −0.0992855 | + | 0.171968i | ||||
\(914\) | −12.0000 | + | 20.7846i | −0.396925 | + | 0.687494i | ||||
\(915\) | −6.00000 | − | 10.3923i | −0.198354 | − | 0.343559i | ||||
\(916\) | −30.0000 | −0.991228 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 20.0000 | 0.660098 | ||||||||
\(919\) | −5.00000 | − | 8.66025i | −0.164935 | − | 0.285675i | 0.771697 | − | 0.635990i | \(-0.219408\pi\) |
−0.936632 | + | 0.350315i | \(0.886075\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 4.00000 | − | 6.92820i | 0.131804 | − | 0.228292i | ||||
\(922\) | −12.0000 | − | 20.7846i | −0.395199 | − | 0.684505i | ||||
\(923\) | 12.0000 | 0.394985 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −12.0000 | −0.394558 | ||||||||
\(926\) | −11.0000 | − | 19.0526i | −0.361482 | − | 0.626106i | ||||
\(927\) | 16.0000 | − | 27.7128i | 0.525509 | − | 0.910208i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −15.0000 | − | 25.9808i | −0.492134 | − | 0.852401i | 0.507825 | − | 0.861460i | \(-0.330450\pi\) |
−0.999959 | + | 0.00905914i | \(0.997116\pi\) | |||||||
\(930\) | −14.0000 | −0.459078 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 48.0000 | 1.57229 | ||||||||
\(933\) | 6.00000 | + | 10.3923i | 0.196431 | + | 0.340229i | ||||
\(934\) | 27.0000 | − | 46.7654i | 0.883467 | − | 1.53021i | ||||
\(935\) | 1.00000 | − | 1.73205i | 0.0327035 | − | 0.0566441i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −8.00000 | −0.261349 | −0.130674 | − | 0.991425i | \(-0.541714\pi\) | ||||
−0.130674 | + | 0.991425i | \(0.541714\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 1.00000 | 0.0326338 | ||||||||
\(940\) | −8.00000 | − | 13.8564i | −0.260931 | − | 0.451946i | ||||
\(941\) | 21.0000 | − | 36.3731i | 0.684580 | − | 1.18573i | −0.288988 | − | 0.957333i | \(-0.593319\pi\) |
0.973568 | − | 0.228395i | \(-0.0733479\pi\) | |||||||
\(942\) | 7.00000 | − | 12.1244i | 0.228072 | − | 0.395033i | ||||
\(943\) | 4.00000 | + | 6.92820i | 0.130258 | + | 0.225613i | ||||
\(944\) | 20.0000 | 0.650945 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 12.0000 | 0.390154 | ||||||||
\(947\) | 13.5000 | + | 23.3827i | 0.438691 | + | 0.759835i | 0.997589 | − | 0.0694014i | \(-0.0221089\pi\) |
−0.558898 | + | 0.829237i | \(0.688776\pi\) | |||||||
\(948\) | 10.0000 | − | 17.3205i | 0.324785 | − | 0.562544i | ||||
\(949\) | −8.00000 | + | 13.8564i | −0.259691 | + | 0.449798i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 13.0000 | 0.421554 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 34.0000 | 1.10137 | 0.550684 | − | 0.834714i | \(-0.314367\pi\) | ||||
0.550684 | + | 0.834714i | \(0.314367\pi\) | |||||||
\(954\) | 12.0000 | + | 20.7846i | 0.388514 | + | 0.672927i | ||||
\(955\) | 8.50000 | − | 14.7224i | 0.275054 | − | 0.476407i | ||||
\(956\) | 30.0000 | − | 51.9615i | 0.970269 | − | 1.68056i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 40.0000 | 1.29234 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 8.00000 | 0.258199 | ||||||||
\(961\) | −9.00000 | − | 15.5885i | −0.290323 | − | 0.502853i | ||||
\(962\) | −12.0000 | + | 20.7846i | −0.386896 | + | 0.670123i | ||||
\(963\) | 18.0000 | − | 31.1769i | 0.580042 | − | 1.00466i | ||||
\(964\) | −8.00000 | − | 13.8564i | −0.257663 | − | 0.446285i | ||||
\(965\) | −4.00000 | −0.128765 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −32.0000 | −1.02905 | −0.514525 | − | 0.857475i | \(-0.672032\pi\) | ||||
−0.514525 | + | 0.857475i | \(0.672032\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −7.00000 | + | 12.1244i | −0.224756 | + | 0.389290i | ||||
\(971\) | 23.5000 | + | 40.7032i | 0.754151 | + | 1.30623i | 0.945795 | + | 0.324763i | \(0.105285\pi\) |
−0.191644 | + | 0.981464i | \(0.561382\pi\) | |||||||
\(972\) | 32.0000 | 1.02640 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −46.0000 | −1.47394 | ||||||||
\(975\) | −8.00000 | − | 13.8564i | −0.256205 | − | 0.443760i | ||||
\(976\) | −24.0000 | + | 41.5692i | −0.768221 | + | 1.33060i | ||||
\(977\) | 13.5000 | − | 23.3827i | 0.431903 | − | 0.748078i | −0.565134 | − | 0.824999i | \(-0.691176\pi\) |
0.997037 | + | 0.0769208i | \(0.0245089\pi\) | |||||||
\(978\) | 4.00000 | + | 6.92820i | 0.127906 | + | 0.221540i | ||||
\(979\) | −15.0000 | −0.479402 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −20.0000 | −0.638551 | ||||||||
\(982\) | −8.00000 | − | 13.8564i | −0.255290 | − | 0.442176i | ||||
\(983\) | 19.5000 | − | 33.7750i | 0.621953 | − | 1.07725i | −0.367168 | − | 0.930155i | \(-0.619673\pi\) |
0.989122 | − | 0.147100i | \(-0.0469940\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1.00000 | − | 1.73205i | −0.0318626 | − | 0.0551877i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −3.00000 | − | 5.19615i | −0.0953945 | − | 0.165228i | ||||
\(990\) | 2.00000 | − | 3.46410i | 0.0635642 | − | 0.110096i | ||||
\(991\) | 4.00000 | − | 6.92820i | 0.127064 | − | 0.220082i | −0.795474 | − | 0.605988i | \(-0.792778\pi\) |
0.922538 | + | 0.385906i | \(0.126111\pi\) | |||||||
\(992\) | 28.0000 | + | 48.4974i | 0.889001 | + | 1.53979i | ||||
\(993\) | 7.00000 | 0.222138 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −6.00000 | − | 10.3923i | −0.190117 | − | 0.329293i | ||||
\(997\) | 19.0000 | − | 32.9090i | 0.601736 | − | 1.04224i | −0.390822 | − | 0.920466i | \(-0.627809\pi\) |
0.992558 | − | 0.121771i | \(-0.0388574\pi\) | |||||||
\(998\) | 20.0000 | − | 34.6410i | 0.633089 | − | 1.09654i | ||||
\(999\) | 7.50000 | + | 12.9904i | 0.237289 | + | 0.410997i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))