Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [507,2,Mod(22,507)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(507, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("507.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 507 = 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 507.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: | \(4.04841538248\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 39) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 22.1 | ||
Root | \(0.866025 - 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 507.22 |
Dual form | 507.2.e.e.484.1 |
$q$-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 \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | + | 1.50000i | −0.612372 | + | 1.06066i | 0.378467 | + | 0.925615i | \(0.376451\pi\) |
−0.990839 | + | 0.135045i | \(0.956882\pi\) | |||||||
\(3\) | 0.500000 | − | 0.866025i | 0.288675 | − | 0.500000i | ||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(6\) | 0.866025 | + | 1.50000i | 0.353553 | + | 0.612372i | ||||
\(7\) | −1.73205 | − | 3.00000i | −0.654654 | − | 1.13389i | −0.981981 | − | 0.188982i | \(-0.939481\pi\) |
0.327327 | − | 0.944911i | \(-0.393852\pi\) | |||||||
\(8\) | −1.73205 | −0.612372 | ||||||||
\(9\) | −0.500000 | − | 0.866025i | −0.166667 | − | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.73205 | + | 3.00000i | −0.522233 | + | 0.904534i | 0.477432 | + | 0.878668i | \(0.341568\pi\) |
−0.999665 | + | 0.0258656i | \(0.991766\pi\) | |||||||
\(12\) | −1.00000 | −0.288675 | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | 6.00000 | 1.60357 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.50000 | − | 4.33013i | 0.625000 | − | 1.08253i | ||||
\(17\) | −3.00000 | − | 5.19615i | −0.727607 | − | 1.26025i | −0.957892 | − | 0.287129i | \(-0.907299\pi\) |
0.230285 | − | 0.973123i | \(-0.426034\pi\) | |||||||
\(18\) | 1.73205 | 0.408248 | ||||||||
\(19\) | −1.73205 | − | 3.00000i | −0.397360 | − | 0.688247i | 0.596040 | − | 0.802955i | \(-0.296740\pi\) |
−0.993399 | + | 0.114708i | \(0.963407\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −3.46410 | −0.755929 | ||||||||
\(22\) | −3.00000 | − | 5.19615i | −0.639602 | − | 1.10782i | ||||
\(23\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(24\) | −0.866025 | + | 1.50000i | −0.176777 | + | 0.306186i | ||||
\(25\) | −5.00000 | −1.00000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | −1.73205 | + | 3.00000i | −0.327327 | + | 0.566947i | ||||
\(29\) | −3.00000 | + | 5.19615i | −0.557086 | + | 0.964901i | 0.440652 | + | 0.897678i | \(0.354747\pi\) |
−0.997738 | + | 0.0672232i | \(0.978586\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.46410 | −0.622171 | −0.311086 | − | 0.950382i | \(-0.600693\pi\) | ||||
−0.311086 | + | 0.950382i | \(0.600693\pi\) | |||||||
\(32\) | 2.59808 | + | 4.50000i | 0.459279 | + | 0.795495i | ||||
\(33\) | 1.73205 | + | 3.00000i | 0.301511 | + | 0.522233i | ||||
\(34\) | 10.3923 | 1.78227 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.500000 | + | 0.866025i | −0.0833333 | + | 0.144338i | ||||
\(37\) | 3.46410 | − | 6.00000i | 0.569495 | − | 0.986394i | −0.427121 | − | 0.904194i | \(-0.640472\pi\) |
0.996616 | − | 0.0821995i | \(-0.0261945\pi\) | |||||||
\(38\) | 6.00000 | 0.973329 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.46410 | − | 6.00000i | 0.541002 | − | 0.937043i | −0.457845 | − | 0.889032i | \(-0.651379\pi\) |
0.998847 | − | 0.0480106i | \(-0.0152881\pi\) | |||||||
\(42\) | 3.00000 | − | 5.19615i | 0.462910 | − | 0.801784i | ||||
\(43\) | −2.00000 | − | 3.46410i | −0.304997 | − | 0.528271i | 0.672264 | − | 0.740312i | \(-0.265322\pi\) |
−0.977261 | + | 0.212041i | \(0.931989\pi\) | |||||||
\(44\) | 3.46410 | 0.522233 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −3.46410 | −0.505291 | −0.252646 | − | 0.967559i | \(-0.581301\pi\) | ||||
−0.252646 | + | 0.967559i | \(0.581301\pi\) | |||||||
\(48\) | −2.50000 | − | 4.33013i | −0.360844 | − | 0.625000i | ||||
\(49\) | −2.50000 | + | 4.33013i | −0.357143 | + | 0.618590i | ||||
\(50\) | 4.33013 | − | 7.50000i | 0.612372 | − | 1.06066i | ||||
\(51\) | −6.00000 | −0.840168 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 6.00000 | 0.824163 | 0.412082 | − | 0.911147i | \(-0.364802\pi\) | ||||
0.412082 | + | 0.911147i | \(0.364802\pi\) | |||||||
\(54\) | 0.866025 | − | 1.50000i | 0.117851 | − | 0.204124i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 3.00000 | + | 5.19615i | 0.400892 | + | 0.694365i | ||||
\(57\) | −3.46410 | −0.458831 | ||||||||
\(58\) | −5.19615 | − | 9.00000i | −0.682288 | − | 1.18176i | ||||
\(59\) | 5.19615 | + | 9.00000i | 0.676481 | + | 1.17170i | 0.976034 | + | 0.217620i | \(0.0698294\pi\) |
−0.299552 | + | 0.954080i | \(0.596837\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.00000 | + | 1.73205i | 0.128037 | + | 0.221766i | 0.922916 | − | 0.385002i | \(-0.125799\pi\) |
−0.794879 | + | 0.606768i | \(0.792466\pi\) | |||||||
\(62\) | 3.00000 | − | 5.19615i | 0.381000 | − | 0.659912i | ||||
\(63\) | −1.73205 | + | 3.00000i | −0.218218 | + | 0.377964i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −6.00000 | −0.738549 | ||||||||
\(67\) | 5.19615 | − | 9.00000i | 0.634811 | − | 1.09952i | −0.351744 | − | 0.936096i | \(-0.614411\pi\) |
0.986555 | − | 0.163429i | \(-0.0522554\pi\) | |||||||
\(68\) | −3.00000 | + | 5.19615i | −0.363803 | + | 0.630126i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.73205 | − | 3.00000i | −0.205557 | − | 0.356034i | 0.744753 | − | 0.667340i | \(-0.232567\pi\) |
−0.950310 | + | 0.311305i | \(0.899234\pi\) | |||||||
\(72\) | 0.866025 | + | 1.50000i | 0.102062 | + | 0.176777i | ||||
\(73\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(74\) | 6.00000 | + | 10.3923i | 0.697486 | + | 1.20808i | ||||
\(75\) | −2.50000 | + | 4.33013i | −0.288675 | + | 0.500000i | ||||
\(76\) | −1.73205 | + | 3.00000i | −0.198680 | + | 0.344124i | ||||
\(77\) | 12.0000 | 1.36753 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −8.00000 | −0.900070 | −0.450035 | − | 0.893011i | \(-0.648589\pi\) | ||||
−0.450035 | + | 0.893011i | \(0.648589\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 6.00000 | + | 10.3923i | 0.662589 | + | 1.14764i | ||||
\(83\) | −3.46410 | −0.380235 | −0.190117 | − | 0.981761i | \(-0.560887\pi\) | ||||
−0.190117 | + | 0.981761i | \(0.560887\pi\) | |||||||
\(84\) | 1.73205 | + | 3.00000i | 0.188982 | + | 0.327327i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 6.92820 | 0.747087 | ||||||||
\(87\) | 3.00000 | + | 5.19615i | 0.321634 | + | 0.557086i | ||||
\(88\) | 3.00000 | − | 5.19615i | 0.319801 | − | 0.553912i | ||||
\(89\) | −3.46410 | + | 6.00000i | −0.367194 | + | 0.635999i | −0.989126 | − | 0.147073i | \(-0.953015\pi\) |
0.621932 | + | 0.783072i | \(0.286348\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −1.73205 | + | 3.00000i | −0.179605 | + | 0.311086i | ||||
\(94\) | 3.00000 | − | 5.19615i | 0.309426 | − | 0.535942i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 5.19615 | 0.530330 | ||||||||
\(97\) | 6.92820 | + | 12.0000i | 0.703452 | + | 1.21842i | 0.967247 | + | 0.253837i | \(0.0816925\pi\) |
−0.263795 | + | 0.964579i | \(0.584974\pi\) | |||||||
\(98\) | −4.33013 | − | 7.50000i | −0.437409 | − | 0.757614i | ||||
\(99\) | 3.46410 | 0.348155 | ||||||||
\(100\) | 2.50000 | + | 4.33013i | 0.250000 | + | 0.433013i | ||||
\(101\) | 3.00000 | − | 5.19615i | 0.298511 | − | 0.517036i | −0.677284 | − | 0.735721i | \(-0.736843\pi\) |
0.975796 | + | 0.218685i | \(0.0701767\pi\) | |||||||
\(102\) | 5.19615 | − | 9.00000i | 0.514496 | − | 0.891133i | ||||
\(103\) | −8.00000 | −0.788263 | −0.394132 | − | 0.919054i | \(-0.628955\pi\) | ||||
−0.394132 | + | 0.919054i | \(0.628955\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −5.19615 | + | 9.00000i | −0.504695 | + | 0.874157i | ||||
\(107\) | −6.00000 | + | 10.3923i | −0.580042 | + | 1.00466i | 0.415432 | + | 0.909624i | \(0.363630\pi\) |
−0.995474 | + | 0.0950377i | \(0.969703\pi\) | |||||||
\(108\) | 0.500000 | + | 0.866025i | 0.0481125 | + | 0.0833333i | ||||
\(109\) | 6.92820 | 0.663602 | 0.331801 | − | 0.943349i | \(-0.392344\pi\) | ||||
0.331801 | + | 0.943349i | \(0.392344\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −3.46410 | − | 6.00000i | −0.328798 | − | 0.569495i | ||||
\(112\) | −17.3205 | −1.63663 | ||||||||
\(113\) | 3.00000 | + | 5.19615i | 0.282216 | + | 0.488813i | 0.971930 | − | 0.235269i | \(-0.0755971\pi\) |
−0.689714 | + | 0.724082i | \(0.742264\pi\) | |||||||
\(114\) | 3.00000 | − | 5.19615i | 0.280976 | − | 0.486664i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 6.00000 | 0.557086 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −18.0000 | −1.65703 | ||||||||
\(119\) | −10.3923 | + | 18.0000i | −0.952661 | + | 1.65006i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.500000 | − | 0.866025i | −0.0454545 | − | 0.0787296i | ||||
\(122\) | −3.46410 | −0.313625 | ||||||||
\(123\) | −3.46410 | − | 6.00000i | −0.312348 | − | 0.541002i | ||||
\(124\) | 1.73205 | + | 3.00000i | 0.155543 | + | 0.269408i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −3.00000 | − | 5.19615i | −0.267261 | − | 0.462910i | ||||
\(127\) | −4.00000 | + | 6.92820i | −0.354943 | + | 0.614779i | −0.987108 | − | 0.160055i | \(-0.948833\pi\) |
0.632166 | + | 0.774833i | \(0.282166\pi\) | |||||||
\(128\) | −6.06218 | + | 10.5000i | −0.535826 | + | 0.928078i | ||||
\(129\) | −4.00000 | −0.352180 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −12.0000 | −1.04844 | −0.524222 | − | 0.851581i | \(-0.675644\pi\) | ||||
−0.524222 | + | 0.851581i | \(0.675644\pi\) | |||||||
\(132\) | 1.73205 | − | 3.00000i | 0.150756 | − | 0.261116i | ||||
\(133\) | −6.00000 | + | 10.3923i | −0.520266 | + | 0.901127i | ||||
\(134\) | 9.00000 | + | 15.5885i | 0.777482 | + | 1.34664i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 5.19615 | + | 9.00000i | 0.445566 | + | 0.771744i | ||||
\(137\) | −10.3923 | − | 18.0000i | −0.887875 | − | 1.53784i | −0.842383 | − | 0.538879i | \(-0.818848\pi\) |
−0.0454914 | − | 0.998965i | \(-0.514485\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.00000 | + | 3.46410i | 0.169638 | + | 0.293821i | 0.938293 | − | 0.345843i | \(-0.112407\pi\) |
−0.768655 | + | 0.639664i | \(0.779074\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.73205 | + | 3.00000i | −0.145865 | + | 0.252646i | ||||
\(142\) | 6.00000 | 0.503509 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −5.00000 | −0.416667 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 2.50000 | + | 4.33013i | 0.206197 | + | 0.357143i | ||||
\(148\) | −6.92820 | −0.569495 | ||||||||
\(149\) | −6.92820 | − | 12.0000i | −0.567581 | − | 0.983078i | −0.996804 | − | 0.0798802i | \(-0.974546\pi\) |
0.429224 | − | 0.903198i | \(-0.358787\pi\) | |||||||
\(150\) | −4.33013 | − | 7.50000i | −0.353553 | − | 0.612372i | ||||
\(151\) | −10.3923 | −0.845714 | −0.422857 | − | 0.906196i | \(-0.638973\pi\) | ||||
−0.422857 | + | 0.906196i | \(0.638973\pi\) | |||||||
\(152\) | 3.00000 | + | 5.19615i | 0.243332 | + | 0.421464i | ||||
\(153\) | −3.00000 | + | 5.19615i | −0.242536 | + | 0.420084i | ||||
\(154\) | −10.3923 | + | 18.0000i | −0.837436 | + | 1.45048i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 14.0000 | 1.11732 | 0.558661 | − | 0.829396i | \(-0.311315\pi\) | ||||
0.558661 | + | 0.829396i | \(0.311315\pi\) | |||||||
\(158\) | 6.92820 | − | 12.0000i | 0.551178 | − | 0.954669i | ||||
\(159\) | 3.00000 | − | 5.19615i | 0.237915 | − | 0.412082i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −0.866025 | − | 1.50000i | −0.0680414 | − | 0.117851i | ||||
\(163\) | 1.73205 | + | 3.00000i | 0.135665 | + | 0.234978i | 0.925851 | − | 0.377888i | \(-0.123350\pi\) |
−0.790186 | + | 0.612866i | \(0.790016\pi\) | |||||||
\(164\) | −6.92820 | −0.541002 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.00000 | − | 5.19615i | 0.232845 | − | 0.403300i | ||||
\(167\) | 8.66025 | − | 15.0000i | 0.670151 | − | 1.16073i | −0.307711 | − | 0.951480i | \(-0.599563\pi\) |
0.977861 | − | 0.209255i | \(-0.0671038\pi\) | |||||||
\(168\) | 6.00000 | 0.462910 | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −1.73205 | + | 3.00000i | −0.132453 | + | 0.229416i | ||||
\(172\) | −2.00000 | + | 3.46410i | −0.152499 | + | 0.264135i | ||||
\(173\) | −9.00000 | − | 15.5885i | −0.684257 | − | 1.18517i | −0.973670 | − | 0.227964i | \(-0.926793\pi\) |
0.289412 | − | 0.957205i | \(-0.406540\pi\) | |||||||
\(174\) | −10.3923 | −0.787839 | ||||||||
\(175\) | 8.66025 | + | 15.0000i | 0.654654 | + | 1.13389i | ||||
\(176\) | 8.66025 | + | 15.0000i | 0.652791 | + | 1.13067i | ||||
\(177\) | 10.3923 | 0.781133 | ||||||||
\(178\) | −6.00000 | − | 10.3923i | −0.449719 | − | 0.778936i | ||||
\(179\) | −6.00000 | + | 10.3923i | −0.448461 | + | 0.776757i | −0.998286 | − | 0.0585225i | \(-0.981361\pi\) |
0.549825 | + | 0.835280i | \(0.314694\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 10.0000 | 0.743294 | 0.371647 | − | 0.928374i | \(-0.378793\pi\) | ||||
0.371647 | + | 0.928374i | \(0.378793\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.00000 | 0.147844 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −3.00000 | − | 5.19615i | −0.219971 | − | 0.381000i | ||||
\(187\) | 20.7846 | 1.51992 | ||||||||
\(188\) | 1.73205 | + | 3.00000i | 0.126323 | + | 0.218797i | ||||
\(189\) | 1.73205 | + | 3.00000i | 0.125988 | + | 0.218218i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −12.0000 | − | 20.7846i | −0.868290 | − | 1.50392i | −0.863743 | − | 0.503932i | \(-0.831886\pi\) |
−0.00454614 | − | 0.999990i | \(-0.501447\pi\) | |||||||
\(192\) | 0.500000 | − | 0.866025i | 0.0360844 | − | 0.0625000i | ||||
\(193\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(194\) | −24.0000 | −1.72310 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 5.00000 | 0.357143 | ||||||||
\(197\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(198\) | −3.00000 | + | 5.19615i | −0.213201 | + | 0.369274i | ||||
\(199\) | 8.00000 | + | 13.8564i | 0.567105 | + | 0.982255i | 0.996850 | + | 0.0793045i | \(0.0252700\pi\) |
−0.429745 | + | 0.902950i | \(0.641397\pi\) | |||||||
\(200\) | 8.66025 | 0.612372 | ||||||||
\(201\) | −5.19615 | − | 9.00000i | −0.366508 | − | 0.634811i | ||||
\(202\) | 5.19615 | + | 9.00000i | 0.365600 | + | 0.633238i | ||||
\(203\) | 20.7846 | 1.45879 | ||||||||
\(204\) | 3.00000 | + | 5.19615i | 0.210042 | + | 0.363803i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 6.92820 | − | 12.0000i | 0.482711 | − | 0.836080i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 12.0000 | 0.830057 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 10.0000 | − | 17.3205i | 0.688428 | − | 1.19239i | −0.283918 | − | 0.958849i | \(-0.591634\pi\) |
0.972346 | − | 0.233544i | \(-0.0750324\pi\) | |||||||
\(212\) | −3.00000 | − | 5.19615i | −0.206041 | − | 0.356873i | ||||
\(213\) | −3.46410 | −0.237356 | ||||||||
\(214\) | −10.3923 | − | 18.0000i | −0.710403 | − | 1.23045i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 1.73205 | 0.117851 | ||||||||
\(217\) | 6.00000 | + | 10.3923i | 0.407307 | + | 0.705476i | ||||
\(218\) | −6.00000 | + | 10.3923i | −0.406371 | + | 0.703856i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 12.0000 | 0.805387 | ||||||||
\(223\) | 1.73205 | − | 3.00000i | 0.115987 | − | 0.200895i | −0.802187 | − | 0.597073i | \(-0.796330\pi\) |
0.918174 | + | 0.396178i | \(0.129664\pi\) | |||||||
\(224\) | 9.00000 | − | 15.5885i | 0.601338 | − | 1.04155i | ||||
\(225\) | 2.50000 | + | 4.33013i | 0.166667 | + | 0.288675i | ||||
\(226\) | −10.3923 | −0.691286 | ||||||||
\(227\) | 8.66025 | + | 15.0000i | 0.574801 | + | 0.995585i | 0.996063 | + | 0.0886460i | \(0.0282540\pi\) |
−0.421262 | + | 0.906939i | \(0.638413\pi\) | |||||||
\(228\) | 1.73205 | + | 3.00000i | 0.114708 | + | 0.198680i | ||||
\(229\) | 6.92820 | 0.457829 | 0.228914 | − | 0.973447i | \(-0.426482\pi\) | ||||
0.228914 | + | 0.973447i | \(0.426482\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 6.00000 | − | 10.3923i | 0.394771 | − | 0.683763i | ||||
\(232\) | 5.19615 | − | 9.00000i | 0.341144 | − | 0.590879i | ||||
\(233\) | 6.00000 | 0.393073 | 0.196537 | − | 0.980497i | \(-0.437031\pi\) | ||||
0.196537 | + | 0.980497i | \(0.437031\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 5.19615 | − | 9.00000i | 0.338241 | − | 0.585850i | ||||
\(237\) | −4.00000 | + | 6.92820i | −0.259828 | + | 0.450035i | ||||
\(238\) | −18.0000 | − | 31.1769i | −1.16677 | − | 2.02090i | ||||
\(239\) | −10.3923 | −0.672222 | −0.336111 | − | 0.941822i | \(-0.609112\pi\) | ||||
−0.336111 | + | 0.941822i | \(0.609112\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 6.92820 | + | 12.0000i | 0.446285 | + | 0.772988i | 0.998141 | − | 0.0609515i | \(-0.0194135\pi\) |
−0.551856 | + | 0.833939i | \(0.686080\pi\) | |||||||
\(242\) | 1.73205 | 0.111340 | ||||||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | 1.00000 | − | 1.73205i | 0.0640184 | − | 0.110883i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 12.0000 | 0.765092 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 6.00000 | 0.381000 | ||||||||
\(249\) | −1.73205 | + | 3.00000i | −0.109764 | + | 0.190117i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −6.00000 | − | 10.3923i | −0.378717 | − | 0.655956i | 0.612159 | − | 0.790735i | \(-0.290301\pi\) |
−0.990876 | + | 0.134778i | \(0.956968\pi\) | |||||||
\(252\) | 3.46410 | 0.218218 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −6.92820 | − | 12.0000i | −0.434714 | − | 0.752947i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −9.50000 | − | 16.4545i | −0.593750 | − | 1.02841i | ||||
\(257\) | 9.00000 | − | 15.5885i | 0.561405 | − | 0.972381i | −0.435970 | − | 0.899961i | \(-0.643595\pi\) |
0.997374 | − | 0.0724199i | \(-0.0230722\pi\) | |||||||
\(258\) | 3.46410 | − | 6.00000i | 0.215666 | − | 0.373544i | ||||
\(259\) | −24.0000 | −1.49129 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 6.00000 | 0.371391 | ||||||||
\(262\) | 10.3923 | − | 18.0000i | 0.642039 | − | 1.11204i | ||||
\(263\) | 12.0000 | − | 20.7846i | 0.739952 | − | 1.28163i | −0.212565 | − | 0.977147i | \(-0.568182\pi\) |
0.952517 | − | 0.304487i | \(-0.0984850\pi\) | |||||||
\(264\) | −3.00000 | − | 5.19615i | −0.184637 | − | 0.319801i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −10.3923 | − | 18.0000i | −0.637193 | − | 1.10365i | ||||
\(267\) | 3.46410 | + | 6.00000i | 0.212000 | + | 0.367194i | ||||
\(268\) | −10.3923 | −0.634811 | ||||||||
\(269\) | −3.00000 | − | 5.19615i | −0.182913 | − | 0.316815i | 0.759958 | − | 0.649972i | \(-0.225219\pi\) |
−0.942871 | + | 0.333157i | \(0.891886\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.19615 | − | 9.00000i | 0.315644 | − | 0.546711i | −0.663930 | − | 0.747794i | \(-0.731113\pi\) |
0.979574 | + | 0.201083i | \(0.0644462\pi\) | |||||||
\(272\) | −30.0000 | −1.81902 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 36.0000 | 2.17484 | ||||||||
\(275\) | 8.66025 | − | 15.0000i | 0.522233 | − | 0.904534i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −5.00000 | − | 8.66025i | −0.300421 | − | 0.520344i | 0.675810 | − | 0.737075i | \(-0.263794\pi\) |
−0.976231 | + | 0.216731i | \(0.930460\pi\) | |||||||
\(278\) | −6.92820 | −0.415526 | ||||||||
\(279\) | 1.73205 | + | 3.00000i | 0.103695 | + | 0.179605i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −6.92820 | −0.413302 | −0.206651 | − | 0.978415i | \(-0.566256\pi\) | ||||
−0.206651 | + | 0.978415i | \(0.566256\pi\) | |||||||
\(282\) | −3.00000 | − | 5.19615i | −0.178647 | − | 0.309426i | ||||
\(283\) | 2.00000 | − | 3.46410i | 0.118888 | − | 0.205919i | −0.800439 | − | 0.599414i | \(-0.795400\pi\) |
0.919327 | + | 0.393494i | \(0.128734\pi\) | |||||||
\(284\) | −1.73205 | + | 3.00000i | −0.102778 | + | 0.178017i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −24.0000 | −1.41668 | ||||||||
\(288\) | 2.59808 | − | 4.50000i | 0.153093 | − | 0.265165i | ||||
\(289\) | −9.50000 | + | 16.4545i | −0.558824 | + | 0.967911i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 13.8564 | 0.812277 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 13.8564 | + | 24.0000i | 0.809500 | + | 1.40209i | 0.913211 | + | 0.407487i | \(0.133595\pi\) |
−0.103711 | + | 0.994607i | \(0.533072\pi\) | |||||||
\(294\) | −8.66025 | −0.505076 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −6.00000 | + | 10.3923i | −0.348743 | + | 0.604040i | ||||
\(297\) | 1.73205 | − | 3.00000i | 0.100504 | − | 0.174078i | ||||
\(298\) | 24.0000 | 1.39028 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 5.00000 | 0.288675 | ||||||||
\(301\) | −6.92820 | + | 12.0000i | −0.399335 | + | 0.691669i | ||||
\(302\) | 9.00000 | − | 15.5885i | 0.517892 | − | 0.897015i | ||||
\(303\) | −3.00000 | − | 5.19615i | −0.172345 | − | 0.298511i | ||||
\(304\) | −17.3205 | −0.993399 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −5.19615 | − | 9.00000i | −0.297044 | − | 0.514496i | ||||
\(307\) | 10.3923 | 0.593120 | 0.296560 | − | 0.955014i | \(-0.404160\pi\) | ||||
0.296560 | + | 0.955014i | \(0.404160\pi\) | |||||||
\(308\) | −6.00000 | − | 10.3923i | −0.341882 | − | 0.592157i | ||||
\(309\) | −4.00000 | + | 6.92820i | −0.227552 | + | 0.394132i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 10.0000 | 0.565233 | 0.282617 | − | 0.959233i | \(-0.408798\pi\) | ||||
0.282617 | + | 0.959233i | \(0.408798\pi\) | |||||||
\(314\) | −12.1244 | + | 21.0000i | −0.684217 | + | 1.18510i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 4.00000 | + | 6.92820i | 0.225018 | + | 0.389742i | ||||
\(317\) | 13.8564 | 0.778253 | 0.389127 | − | 0.921184i | \(-0.372777\pi\) | ||||
0.389127 | + | 0.921184i | \(0.372777\pi\) | |||||||
\(318\) | 5.19615 | + | 9.00000i | 0.291386 | + | 0.504695i | ||||
\(319\) | −10.3923 | − | 18.0000i | −0.581857 | − | 1.00781i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 6.00000 | + | 10.3923i | 0.334887 | + | 0.580042i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −10.3923 | + | 18.0000i | −0.578243 | + | 1.00155i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −6.00000 | −0.332309 | ||||||||
\(327\) | 3.46410 | − | 6.00000i | 0.191565 | − | 0.331801i | ||||
\(328\) | −6.00000 | + | 10.3923i | −0.331295 | + | 0.573819i | ||||
\(329\) | 6.00000 | + | 10.3923i | 0.330791 | + | 0.572946i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.73205 | − | 3.00000i | −0.0952021 | − | 0.164895i | 0.814491 | − | 0.580176i | \(-0.197016\pi\) |
−0.909693 | + | 0.415282i | \(0.863683\pi\) | |||||||
\(332\) | 1.73205 | + | 3.00000i | 0.0950586 | + | 0.164646i | ||||
\(333\) | −6.92820 | −0.379663 | ||||||||
\(334\) | 15.0000 | + | 25.9808i | 0.820763 | + | 1.42160i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −8.66025 | + | 15.0000i | −0.472456 | + | 0.818317i | ||||
\(337\) | 14.0000 | 0.762629 | 0.381314 | − | 0.924445i | \(-0.375472\pi\) | ||||
0.381314 | + | 0.924445i | \(0.375472\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 6.00000 | 0.325875 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 6.00000 | − | 10.3923i | 0.324918 | − | 0.562775i | ||||
\(342\) | −3.00000 | − | 5.19615i | −0.162221 | − | 0.280976i | ||||
\(343\) | −6.92820 | −0.374088 | ||||||||
\(344\) | 3.46410 | + | 6.00000i | 0.186772 | + | 0.323498i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 31.1769 | 1.67608 | ||||||||
\(347\) | −18.0000 | − | 31.1769i | −0.966291 | − | 1.67366i | −0.706107 | − | 0.708105i | \(-0.749550\pi\) |
−0.260184 | − | 0.965559i | \(-0.583783\pi\) | |||||||
\(348\) | 3.00000 | − | 5.19615i | 0.160817 | − | 0.278543i | ||||
\(349\) | −3.46410 | + | 6.00000i | −0.185429 | + | 0.321173i | −0.943721 | − | 0.330743i | \(-0.892701\pi\) |
0.758292 | + | 0.651915i | \(0.226034\pi\) | |||||||
\(350\) | −30.0000 | −1.60357 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −18.0000 | −0.959403 | ||||||||
\(353\) | −17.3205 | + | 30.0000i | −0.921878 | + | 1.59674i | −0.125370 | + | 0.992110i | \(0.540012\pi\) |
−0.796507 | + | 0.604629i | \(0.793321\pi\) | |||||||
\(354\) | −9.00000 | + | 15.5885i | −0.478345 | + | 0.828517i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 6.92820 | 0.367194 | ||||||||
\(357\) | 10.3923 | + | 18.0000i | 0.550019 | + | 0.952661i | ||||
\(358\) | −10.3923 | − | 18.0000i | −0.549250 | − | 0.951330i | ||||
\(359\) | −17.3205 | −0.914141 | −0.457071 | − | 0.889430i | \(-0.651101\pi\) | ||||
−0.457071 | + | 0.889430i | \(0.651101\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3.50000 | − | 6.06218i | 0.184211 | − | 0.319062i | ||||
\(362\) | −8.66025 | + | 15.0000i | −0.455173 | + | 0.788382i | ||||
\(363\) | −1.00000 | −0.0524864 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −1.73205 | + | 3.00000i | −0.0905357 | + | 0.156813i | ||||
\(367\) | 8.00000 | − | 13.8564i | 0.417597 | − | 0.723299i | −0.578101 | − | 0.815966i | \(-0.696206\pi\) |
0.995697 | + | 0.0926670i | \(0.0295392\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −6.92820 | −0.360668 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −10.3923 | − | 18.0000i | −0.539542 | − | 0.934513i | ||||
\(372\) | 3.46410 | 0.179605 | ||||||||
\(373\) | −11.0000 | − | 19.0526i | −0.569558 | − | 0.986504i | −0.996610 | − | 0.0822766i | \(-0.973781\pi\) |
0.427051 | − | 0.904227i | \(-0.359552\pi\) | |||||||
\(374\) | −18.0000 | + | 31.1769i | −0.930758 | + | 1.61212i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 6.00000 | 0.309426 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −6.00000 | −0.308607 | ||||||||
\(379\) | −8.66025 | + | 15.0000i | −0.444847 | + | 0.770498i | −0.998042 | − | 0.0625541i | \(-0.980075\pi\) |
0.553194 | + | 0.833052i | \(0.313409\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 4.00000 | + | 6.92820i | 0.204926 | + | 0.354943i | ||||
\(382\) | 41.5692 | 2.12687 | ||||||||
\(383\) | −1.73205 | − | 3.00000i | −0.0885037 | − | 0.153293i | 0.818375 | − | 0.574684i | \(-0.194875\pi\) |
−0.906879 | + | 0.421392i | \(0.861542\pi\) | |||||||
\(384\) | 6.06218 | + | 10.5000i | 0.309359 | + | 0.535826i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −2.00000 | + | 3.46410i | −0.101666 | + | 0.176090i | ||||
\(388\) | 6.92820 | − | 12.0000i | 0.351726 | − | 0.609208i | ||||
\(389\) | 18.0000 | 0.912636 | 0.456318 | − | 0.889817i | \(-0.349168\pi\) | ||||
0.456318 | + | 0.889817i | \(0.349168\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 4.33013 | − | 7.50000i | 0.218704 | − | 0.378807i | ||||
\(393\) | −6.00000 | + | 10.3923i | −0.302660 | + | 0.524222i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −1.73205 | − | 3.00000i | −0.0870388 | − | 0.150756i | ||||
\(397\) | −17.3205 | − | 30.0000i | −0.869291 | − | 1.50566i | −0.862722 | − | 0.505678i | \(-0.831242\pi\) |
−0.00656933 | − | 0.999978i | \(-0.502091\pi\) | |||||||
\(398\) | −27.7128 | −1.38912 | ||||||||
\(399\) | 6.00000 | + | 10.3923i | 0.300376 | + | 0.520266i | ||||
\(400\) | −12.5000 | + | 21.6506i | −0.625000 | + | 1.08253i | ||||
\(401\) | 3.46410 | − | 6.00000i | 0.172989 | − | 0.299626i | −0.766475 | − | 0.642275i | \(-0.777991\pi\) |
0.939463 | + | 0.342649i | \(0.111324\pi\) | |||||||
\(402\) | 18.0000 | 0.897758 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −6.00000 | −0.298511 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −18.0000 | + | 31.1769i | −0.893325 | + | 1.54728i | ||||
\(407\) | 12.0000 | + | 20.7846i | 0.594818 | + | 1.03025i | ||||
\(408\) | 10.3923 | 0.514496 | ||||||||
\(409\) | −13.8564 | − | 24.0000i | −0.685155 | − | 1.18672i | −0.973388 | − | 0.229163i | \(-0.926401\pi\) |
0.288233 | − | 0.957560i | \(-0.406932\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −20.7846 | −1.02523 | ||||||||
\(412\) | 4.00000 | + | 6.92820i | 0.197066 | + | 0.341328i | ||||
\(413\) | 18.0000 | − | 31.1769i | 0.885722 | − | 1.53412i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 4.00000 | 0.195881 | ||||||||
\(418\) | −10.3923 | + | 18.0000i | −0.508304 | + | 0.880409i | ||||
\(419\) | 6.00000 | − | 10.3923i | 0.293119 | − | 0.507697i | −0.681426 | − | 0.731887i | \(-0.738640\pi\) |
0.974546 | + | 0.224189i | \(0.0719734\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −34.6410 | −1.68830 | −0.844150 | − | 0.536107i | \(-0.819894\pi\) | ||||
−0.844150 | + | 0.536107i | \(0.819894\pi\) | |||||||
\(422\) | 17.3205 | + | 30.0000i | 0.843149 | + | 1.46038i | ||||
\(423\) | 1.73205 | + | 3.00000i | 0.0842152 | + | 0.145865i | ||||
\(424\) | −10.3923 | −0.504695 | ||||||||
\(425\) | 15.0000 | + | 25.9808i | 0.727607 | + | 1.26025i | ||||
\(426\) | 3.00000 | − | 5.19615i | 0.145350 | − | 0.251754i | ||||
\(427\) | 3.46410 | − | 6.00000i | 0.167640 | − | 0.290360i | ||||
\(428\) | 12.0000 | 0.580042 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 12.1244 | − | 21.0000i | 0.584010 | − | 1.01153i | −0.410988 | − | 0.911641i | \(-0.634816\pi\) |
0.994998 | − | 0.0998939i | \(-0.0318503\pi\) | |||||||
\(432\) | −2.50000 | + | 4.33013i | −0.120281 | + | 0.208333i | ||||
\(433\) | 17.0000 | + | 29.4449i | 0.816968 | + | 1.41503i | 0.907906 | + | 0.419173i | \(0.137680\pi\) |
−0.0909384 | + | 0.995857i | \(0.528987\pi\) | |||||||
\(434\) | −20.7846 | −0.997693 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −3.46410 | − | 6.00000i | −0.165900 | − | 0.287348i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 4.00000 | − | 6.92820i | 0.190910 | − | 0.330665i | −0.754642 | − | 0.656136i | \(-0.772190\pi\) |
0.945552 | + | 0.325471i | \(0.105523\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 5.00000 | 0.238095 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −36.0000 | −1.71041 | −0.855206 | − | 0.518289i | \(-0.826569\pi\) | ||||
−0.855206 | + | 0.518289i | \(0.826569\pi\) | |||||||
\(444\) | −3.46410 | + | 6.00000i | −0.164399 | + | 0.284747i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 3.00000 | + | 5.19615i | 0.142054 | + | 0.246045i | ||||
\(447\) | −13.8564 | −0.655386 | ||||||||
\(448\) | −1.73205 | − | 3.00000i | −0.0818317 | − | 0.141737i | ||||
\(449\) | 3.46410 | + | 6.00000i | 0.163481 | + | 0.283158i | 0.936115 | − | 0.351694i | \(-0.114394\pi\) |
−0.772634 | + | 0.634852i | \(0.781061\pi\) | |||||||
\(450\) | −8.66025 | −0.408248 | ||||||||
\(451\) | 12.0000 | + | 20.7846i | 0.565058 | + | 0.978709i | ||||
\(452\) | 3.00000 | − | 5.19615i | 0.141108 | − | 0.244406i | ||||
\(453\) | −5.19615 | + | 9.00000i | −0.244137 | + | 0.422857i | ||||
\(454\) | −30.0000 | −1.40797 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 6.00000 | 0.280976 | ||||||||
\(457\) | 13.8564 | − | 24.0000i | 0.648175 | − | 1.12267i | −0.335383 | − | 0.942082i | \(-0.608866\pi\) |
0.983558 | − | 0.180591i | \(-0.0578010\pi\) | |||||||
\(458\) | −6.00000 | + | 10.3923i | −0.280362 | + | 0.485601i | ||||
\(459\) | 3.00000 | + | 5.19615i | 0.140028 | + | 0.242536i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 6.92820 | + | 12.0000i | 0.322679 | + | 0.558896i | 0.981040 | − | 0.193806i | \(-0.0620834\pi\) |
−0.658361 | + | 0.752702i | \(0.728750\pi\) | |||||||
\(462\) | 10.3923 | + | 18.0000i | 0.483494 | + | 0.837436i | ||||
\(463\) | 17.3205 | 0.804952 | 0.402476 | − | 0.915430i | \(-0.368150\pi\) | ||||
0.402476 | + | 0.915430i | \(0.368150\pi\) | |||||||
\(464\) | 15.0000 | + | 25.9808i | 0.696358 | + | 1.20613i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −5.19615 | + | 9.00000i | −0.240707 | + | 0.416917i | ||||
\(467\) | −12.0000 | −0.555294 | −0.277647 | − | 0.960683i | \(-0.589555\pi\) | ||||
−0.277647 | + | 0.960683i | \(0.589555\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −36.0000 | −1.66233 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 7.00000 | − | 12.1244i | 0.322543 | − | 0.558661i | ||||
\(472\) | −9.00000 | − | 15.5885i | −0.414259 | − | 0.717517i | ||||
\(473\) | 13.8564 | 0.637118 | ||||||||
\(474\) | −6.92820 | − | 12.0000i | −0.318223 | − | 0.551178i | ||||
\(475\) | 8.66025 | + | 15.0000i | 0.397360 | + | 0.688247i | ||||
\(476\) | 20.7846 | 0.952661 | ||||||||
\(477\) | −3.00000 | − | 5.19615i | −0.137361 | − | 0.237915i | ||||
\(478\) | 9.00000 | − | 15.5885i | 0.411650 | − | 0.712999i | ||||
\(479\) | −5.19615 | + | 9.00000i | −0.237418 | + | 0.411220i | −0.959973 | − | 0.280094i | \(-0.909635\pi\) |
0.722554 | + | 0.691314i | \(0.242968\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | −24.0000 | −1.09317 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.500000 | + | 0.866025i | −0.0227273 | + | 0.0393648i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −1.73205 | −0.0785674 | ||||||||
\(487\) | −19.0526 | − | 33.0000i | −0.863354 | − | 1.49537i | −0.868672 | − | 0.495387i | \(-0.835026\pi\) |
0.00531860 | − | 0.999986i | \(-0.498307\pi\) | |||||||
\(488\) | −1.73205 | − | 3.00000i | −0.0784063 | − | 0.135804i | ||||
\(489\) | 3.46410 | 0.156652 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −6.00000 | + | 10.3923i | −0.270776 | + | 0.468998i | −0.969061 | − | 0.246822i | \(-0.920614\pi\) |
0.698285 | + | 0.715820i | \(0.253947\pi\) | |||||||
\(492\) | −3.46410 | + | 6.00000i | −0.156174 | + | 0.270501i | ||||
\(493\) | 36.0000 | 1.62136 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −8.66025 | + | 15.0000i | −0.388857 | + | 0.673520i | ||||
\(497\) | −6.00000 | + | 10.3923i | −0.269137 | + | 0.466159i | ||||
\(498\) | −3.00000 | − | 5.19615i | −0.134433 | − | 0.232845i | ||||
\(499\) | −10.3923 | −0.465223 | −0.232612 | − | 0.972570i | \(-0.574727\pi\) | ||||
−0.232612 | + | 0.972570i | \(0.574727\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −8.66025 | − | 15.0000i | −0.386912 | − | 0.670151i | ||||
\(502\) | 20.7846 | 0.927663 | ||||||||
\(503\) | −12.0000 | − | 20.7846i | −0.535054 | − | 0.926740i | −0.999161 | − | 0.0409609i | \(-0.986958\pi\) |
0.464107 | − | 0.885779i | \(-0.346375\pi\) | |||||||
\(504\) | 3.00000 | − | 5.19615i | 0.133631 | − | 0.231455i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 8.00000 | 0.354943 | ||||||||
\(509\) | 20.7846 | − | 36.0000i | 0.921262 | − | 1.59567i | 0.123796 | − | 0.992308i | \(-0.460493\pi\) |
0.797466 | − | 0.603364i | \(-0.206173\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 8.66025 | 0.382733 | ||||||||
\(513\) | 1.73205 | + | 3.00000i | 0.0764719 | + | 0.132453i | ||||
\(514\) | 15.5885 | + | 27.0000i | 0.687577 | + | 1.19092i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 2.00000 | + | 3.46410i | 0.0880451 | + | 0.152499i | ||||
\(517\) | 6.00000 | − | 10.3923i | 0.263880 | − | 0.457053i | ||||
\(518\) | 20.7846 | − | 36.0000i | 0.913223 | − | 1.58175i | ||||
\(519\) | −18.0000 | −0.790112 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 18.0000 | 0.788594 | 0.394297 | − | 0.918983i | \(-0.370988\pi\) | ||||
0.394297 | + | 0.918983i | \(0.370988\pi\) | |||||||
\(522\) | −5.19615 | + | 9.00000i | −0.227429 | + | 0.393919i | ||||
\(523\) | 2.00000 | − | 3.46410i | 0.0874539 | − | 0.151475i | −0.818980 | − | 0.573822i | \(-0.805460\pi\) |
0.906434 | + | 0.422347i | \(0.138794\pi\) | |||||||
\(524\) | 6.00000 | + | 10.3923i | 0.262111 | + | 0.453990i | ||||
\(525\) | 17.3205 | 0.755929 | ||||||||
\(526\) | 20.7846 | + | 36.0000i | 0.906252 | + | 1.56967i | ||||
\(527\) | 10.3923 | + | 18.0000i | 0.452696 | + | 0.784092i | ||||
\(528\) | 17.3205 | 0.753778 | ||||||||
\(529\) | 11.5000 | + | 19.9186i | 0.500000 | + | 0.866025i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 5.19615 | − | 9.00000i | 0.225494 | − | 0.390567i | ||||
\(532\) | 12.0000 | 0.520266 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | −12.0000 | −0.519291 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −9.00000 | + | 15.5885i | −0.388741 | + | 0.673319i | ||||
\(537\) | 6.00000 | + | 10.3923i | 0.258919 | + | 0.448461i | ||||
\(538\) | 10.3923 | 0.448044 | ||||||||
\(539\) | −8.66025 | − | 15.0000i | −0.373024 | − | 0.646096i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −6.92820 | −0.297867 | −0.148933 | − | 0.988847i | \(-0.547584\pi\) | ||||
−0.148933 | + | 0.988847i | \(0.547584\pi\) | |||||||
\(542\) | 9.00000 | + | 15.5885i | 0.386583 | + | 0.669582i | ||||
\(543\) | 5.00000 | − | 8.66025i | 0.214571 | − | 0.371647i | ||||
\(544\) | 15.5885 | − | 27.0000i | 0.668350 | − | 1.15762i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 20.0000 | 0.855138 | 0.427569 | − | 0.903983i | \(-0.359370\pi\) | ||||
0.427569 | + | 0.903983i | \(0.359370\pi\) | |||||||
\(548\) | −10.3923 | + | 18.0000i | −0.443937 | + | 0.768922i | ||||
\(549\) | 1.00000 | − | 1.73205i | 0.0426790 | − | 0.0739221i | ||||
\(550\) | 15.0000 | + | 25.9808i | 0.639602 | + | 1.10782i | ||||
\(551\) | 20.7846 | 0.885454 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 13.8564 | + | 24.0000i | 0.589234 | + | 1.02058i | ||||
\(554\) | 17.3205 | 0.735878 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 2.00000 | − | 3.46410i | 0.0848189 | − | 0.146911i | ||||
\(557\) | 6.92820 | − | 12.0000i | 0.293557 | − | 0.508456i | −0.681091 | − | 0.732199i | \(-0.738494\pi\) |
0.974648 | + | 0.223743i | \(0.0718275\pi\) | |||||||
\(558\) | −6.00000 | −0.254000 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 10.3923 | − | 18.0000i | 0.438763 | − | 0.759961i | ||||
\(562\) | 6.00000 | − | 10.3923i | 0.253095 | − | 0.438373i | ||||
\(563\) | −6.00000 | − | 10.3923i | −0.252870 | − | 0.437983i | 0.711445 | − | 0.702742i | \(-0.248041\pi\) |
−0.964315 | + | 0.264758i | \(0.914708\pi\) | |||||||
\(564\) | 3.46410 | 0.145865 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 3.46410 | + | 6.00000i | 0.145607 | + | 0.252199i | ||||
\(567\) | 3.46410 | 0.145479 | ||||||||
\(568\) | 3.00000 | + | 5.19615i | 0.125877 | + | 0.218026i | ||||
\(569\) | −3.00000 | + | 5.19615i | −0.125767 | + | 0.217834i | −0.922032 | − | 0.387113i | \(-0.873472\pi\) |
0.796266 | + | 0.604947i | \(0.206806\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −4.00000 | −0.167395 | −0.0836974 | − | 0.996491i | \(-0.526673\pi\) | ||||
−0.0836974 | + | 0.996491i | \(0.526673\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −24.0000 | −1.00261 | ||||||||
\(574\) | 20.7846 | − | 36.0000i | 0.867533 | − | 1.50261i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −0.500000 | − | 0.866025i | −0.0208333 | − | 0.0360844i | ||||
\(577\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(578\) | −16.4545 | − | 28.5000i | −0.684416 | − | 1.18544i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 6.00000 | + | 10.3923i | 0.248922 | + | 0.431145i | ||||
\(582\) | −12.0000 | + | 20.7846i | −0.497416 | + | 0.861550i | ||||
\(583\) | −10.3923 | + | 18.0000i | −0.430405 | + | 0.745484i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −48.0000 | −1.98286 | ||||||||
\(587\) | −5.19615 | + | 9.00000i | −0.214468 | + | 0.371470i | −0.953108 | − | 0.302631i | \(-0.902135\pi\) |
0.738640 | + | 0.674100i | \(0.235468\pi\) | |||||||
\(588\) | 2.50000 | − | 4.33013i | 0.103098 | − | 0.178571i | ||||
\(589\) | 6.00000 | + | 10.3923i | 0.247226 | + | 0.428207i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −17.3205 | − | 30.0000i | −0.711868 | − | 1.23299i | ||||
\(593\) | −6.92820 | −0.284507 | −0.142254 | − | 0.989830i | \(-0.545435\pi\) | ||||
−0.142254 | + | 0.989830i | \(0.545435\pi\) | |||||||
\(594\) | 3.00000 | + | 5.19615i | 0.123091 | + | 0.213201i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −6.92820 | + | 12.0000i | −0.283790 | + | 0.491539i | ||||
\(597\) | 16.0000 | 0.654836 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 24.0000 | 0.980613 | 0.490307 | − | 0.871550i | \(-0.336885\pi\) | ||||
0.490307 | + | 0.871550i | \(0.336885\pi\) | |||||||
\(600\) | 4.33013 | − | 7.50000i | 0.176777 | − | 0.306186i | ||||
\(601\) | −5.00000 | + | 8.66025i | −0.203954 | + | 0.353259i | −0.949799 | − | 0.312861i | \(-0.898713\pi\) |
0.745845 | + | 0.666120i | \(0.232046\pi\) | |||||||
\(602\) | −12.0000 | − | 20.7846i | −0.489083 | − | 0.847117i | ||||
\(603\) | −10.3923 | −0.423207 | ||||||||
\(604\) | 5.19615 | + | 9.00000i | 0.211428 | + | 0.366205i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 10.3923 | 0.422159 | ||||||||
\(607\) | −16.0000 | − | 27.7128i | −0.649420 | − | 1.12483i | −0.983262 | − | 0.182199i | \(-0.941678\pi\) |
0.333842 | − | 0.942629i | \(-0.391655\pi\) | |||||||
\(608\) | 9.00000 | − | 15.5885i | 0.364998 | − | 0.632195i | ||||
\(609\) | 10.3923 | − | 18.0000i | 0.421117 | − | 0.729397i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 6.00000 | 0.242536 | ||||||||
\(613\) | 10.3923 | − | 18.0000i | 0.419741 | − | 0.727013i | −0.576172 | − | 0.817328i | \(-0.695454\pi\) |
0.995913 | + | 0.0903153i | \(0.0287875\pi\) | |||||||
\(614\) | −9.00000 | + | 15.5885i | −0.363210 | + | 0.629099i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −20.7846 | −0.837436 | ||||||||
\(617\) | 3.46410 | + | 6.00000i | 0.139459 | + | 0.241551i | 0.927292 | − | 0.374338i | \(-0.122130\pi\) |
−0.787833 | + | 0.615889i | \(0.788797\pi\) | |||||||
\(618\) | −6.92820 | − | 12.0000i | −0.278693 | − | 0.482711i | ||||
\(619\) | −31.1769 | −1.25311 | −0.626553 | − | 0.779379i | \(-0.715535\pi\) | ||||
−0.626553 | + | 0.779379i | \(0.715535\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 24.0000 | 0.961540 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 25.0000 | 1.00000 | ||||||||
\(626\) | −8.66025 | + | 15.0000i | −0.346133 | + | 0.599521i | ||||
\(627\) | 6.00000 | − | 10.3923i | 0.239617 | − | 0.415029i | ||||
\(628\) | −7.00000 | − | 12.1244i | −0.279330 | − | 0.483814i | ||||
\(629\) | −41.5692 | −1.65747 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 19.0526 | + | 33.0000i | 0.758470 | + | 1.31371i | 0.943630 | + | 0.331001i | \(0.107386\pi\) |
−0.185160 | + | 0.982708i | \(0.559280\pi\) | |||||||
\(632\) | 13.8564 | 0.551178 | ||||||||
\(633\) | −10.0000 | − | 17.3205i | −0.397464 | − | 0.688428i | ||||
\(634\) | −12.0000 | + | 20.7846i | −0.476581 | + | 0.825462i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −6.00000 | −0.237915 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 36.0000 | 1.42525 | ||||||||
\(639\) | −1.73205 | + | 3.00000i | −0.0685189 | + | 0.118678i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −3.00000 | − | 5.19615i | −0.118493 | − | 0.205236i | 0.800678 | − | 0.599095i | \(-0.204473\pi\) |
−0.919171 | + | 0.393860i | \(0.871140\pi\) | |||||||
\(642\) | −20.7846 | −0.820303 | ||||||||
\(643\) | 5.19615 | + | 9.00000i | 0.204916 | + | 0.354925i | 0.950106 | − | 0.311927i | \(-0.100974\pi\) |
−0.745190 | + | 0.666852i | \(0.767641\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −18.0000 | − | 31.1769i | −0.708201 | − | 1.22664i | ||||
\(647\) | −12.0000 | + | 20.7846i | −0.471769 | + | 0.817127i | −0.999478 | − | 0.0322975i | \(-0.989718\pi\) |
0.527710 | + | 0.849425i | \(0.323051\pi\) | |||||||
\(648\) | 0.866025 | − | 1.50000i | 0.0340207 | − | 0.0589256i | ||||
\(649\) | −36.0000 | −1.41312 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 12.0000 | 0.470317 | ||||||||
\(652\) | 1.73205 | − | 3.00000i | 0.0678323 | − | 0.117489i | ||||
\(653\) | −3.00000 | + | 5.19615i | −0.117399 | + | 0.203341i | −0.918736 | − | 0.394872i | \(-0.870789\pi\) |
0.801337 | + | 0.598213i | \(0.204122\pi\) | |||||||
\(654\) | 6.00000 | + | 10.3923i | 0.234619 | + | 0.406371i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −17.3205 | − | 30.0000i | −0.676252 | − | 1.17130i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −20.7846 | −0.810268 | ||||||||
\(659\) | −6.00000 | − | 10.3923i | −0.233727 | − | 0.404827i | 0.725175 | − | 0.688565i | \(-0.241759\pi\) |
−0.958902 | + | 0.283738i | \(0.908425\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −10.3923 | + | 18.0000i | −0.404214 | + | 0.700119i | −0.994230 | − | 0.107273i | \(-0.965788\pi\) |
0.590016 | + | 0.807392i | \(0.299121\pi\) | |||||||
\(662\) | 6.00000 | 0.233197 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 6.00000 | 0.232845 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 6.00000 | − | 10.3923i | 0.232495 | − | 0.402694i | ||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −17.3205 | −0.670151 | ||||||||
\(669\) | −1.73205 | − | 3.00000i | −0.0669650 | − | 0.115987i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −6.92820 | −0.267460 | ||||||||
\(672\) | −9.00000 | − | 15.5885i | −0.347183 | − | 0.601338i | ||||
\(673\) | −23.0000 | + | 39.8372i | −0.886585 | + | 1.53561i | −0.0426985 | + | 0.999088i | \(0.513595\pi\) |
−0.843886 | + | 0.536522i | \(0.819738\pi\) | |||||||
\(674\) | −12.1244 | + | 21.0000i | −0.467013 | + | 0.808890i | ||||
\(675\) | 5.00000 | 0.192450 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 6.00000 | 0.230599 | 0.115299 | − | 0.993331i | \(-0.463217\pi\) | ||||
0.115299 | + | 0.993331i | \(0.463217\pi\) | |||||||
\(678\) | −5.19615 | + | 9.00000i | −0.199557 | + | 0.345643i | ||||
\(679\) | 24.0000 | − | 41.5692i | 0.921035 | − | 1.59528i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 17.3205 | 0.663723 | ||||||||
\(682\) | 10.3923 | + | 18.0000i | 0.397942 | + | 0.689256i | ||||
\(683\) | −15.5885 | − | 27.0000i | −0.596476 | − | 1.03313i | −0.993337 | − | 0.115248i | \(-0.963234\pi\) |
0.396861 | − | 0.917879i | \(-0.370099\pi\) | |||||||
\(684\) | 3.46410 | 0.132453 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 6.00000 | − | 10.3923i | 0.229081 | − | 0.396780i | ||||
\(687\) | 3.46410 | − | 6.00000i | 0.132164 | − | 0.228914i | ||||
\(688\) | −20.0000 | −0.762493 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −22.5167 | + | 39.0000i | −0.856574 | + | 1.48363i | 0.0186028 | + | 0.999827i | \(0.494078\pi\) |
−0.875177 | + | 0.483803i | \(0.839255\pi\) | |||||||
\(692\) | −9.00000 | + | 15.5885i | −0.342129 | + | 0.592584i | ||||
\(693\) | −6.00000 | − | 10.3923i | −0.227921 | − | 0.394771i | ||||
\(694\) | 62.3538 | 2.36692 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −5.19615 | − | 9.00000i | −0.196960 | − | 0.341144i | ||||
\(697\) | −41.5692 | −1.57455 | ||||||||
\(698\) | −6.00000 | − | 10.3923i | −0.227103 | − | 0.393355i | ||||
\(699\) | 3.00000 | − | 5.19615i | 0.113470 | − | 0.196537i | ||||
\(700\) | 8.66025 | − | 15.0000i | 0.327327 | − | 0.566947i | ||||
\(701\) | 42.0000 | 1.58632 | 0.793159 | − | 0.609015i | \(-0.208435\pi\) | ||||
0.793159 | + | 0.609015i | \(0.208435\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −24.0000 | −0.905177 | ||||||||
\(704\) | −1.73205 | + | 3.00000i | −0.0652791 | + | 0.113067i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −30.0000 | − | 51.9615i | −1.12906 | − | 1.95560i | ||||
\(707\) | −20.7846 | −0.781686 | ||||||||
\(708\) | −5.19615 | − | 9.00000i | −0.195283 | − | 0.338241i | ||||
\(709\) | −3.46410 | − | 6.00000i | −0.130097 | − | 0.225335i | 0.793617 | − | 0.608418i | \(-0.208196\pi\) |
−0.923714 | + | 0.383083i | \(0.874862\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 4.00000 | + | 6.92820i | 0.150012 | + | 0.259828i | ||||
\(712\) | 6.00000 | − | 10.3923i | 0.224860 | − | 0.389468i | ||||
\(713\) | 0 | 0 | ||||||||
\(714\) | −36.0000 | −1.34727 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 12.0000 | 0.448461 | ||||||||
\(717\) | −5.19615 | + | 9.00000i | −0.194054 | + | 0.336111i | ||||
\(718\) | 15.0000 | − | 25.9808i | 0.559795 | − | 0.969593i | ||||
\(719\) | 12.0000 | + | 20.7846i | 0.447524 | + | 0.775135i | 0.998224 | − | 0.0595683i | \(-0.0189724\pi\) |
−0.550700 | + | 0.834703i | \(0.685639\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 13.8564 | + | 24.0000i | 0.516040 | + | 0.893807i | ||||
\(722\) | 6.06218 | + | 10.5000i | 0.225611 | + | 0.390770i | ||||
\(723\) | 13.8564 | 0.515325 | ||||||||
\(724\) | −5.00000 | − | 8.66025i | −0.185824 | − | 0.321856i | ||||
\(725\) | 15.0000 | − | 25.9808i | 0.557086 | − | 0.964901i | ||||
\(726\) | 0.866025 | − | 1.50000i | 0.0321412 | − | 0.0556702i | ||||
\(727\) | −16.0000 | −0.593407 | −0.296704 | − | 0.954970i | \(-0.595887\pi\) | ||||
−0.296704 | + | 0.954970i | \(0.595887\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −12.0000 | + | 20.7846i | −0.443836 | + | 0.768747i | ||||
\(732\) | −1.00000 | − | 1.73205i | −0.0369611 | − | 0.0640184i | ||||
\(733\) | 34.6410 | 1.27950 | 0.639748 | − | 0.768585i | \(-0.279039\pi\) | ||||
0.639748 | + | 0.768585i | \(0.279039\pi\) | |||||||
\(734\) | 13.8564 | + | 24.0000i | 0.511449 | + | 0.885856i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 18.0000 | + | 31.1769i | 0.663039 | + | 1.14842i | ||||
\(738\) | 6.00000 | − | 10.3923i | 0.220863 | − | 0.382546i | ||||
\(739\) | −19.0526 | + | 33.0000i | −0.700860 | + | 1.21392i | 0.267305 | + | 0.963612i | \(0.413867\pi\) |
−0.968165 | + | 0.250313i | \(0.919467\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 36.0000 | 1.32160 | ||||||||
\(743\) | −1.73205 | + | 3.00000i | −0.0635428 | + | 0.110059i | −0.896047 | − | 0.443960i | \(-0.853573\pi\) |
0.832504 | + | 0.554019i | \(0.186907\pi\) | |||||||
\(744\) | 3.00000 | − | 5.19615i | 0.109985 | − | 0.190500i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 38.1051 | 1.39513 | ||||||||
\(747\) | 1.73205 | + | 3.00000i | 0.0633724 | + | 0.109764i | ||||
\(748\) | −10.3923 | − | 18.0000i | −0.379980 | − | 0.658145i | ||||
\(749\) | 41.5692 | 1.51891 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 16.0000 | − | 27.7128i | 0.583848 | − | 1.01125i | −0.411170 | − | 0.911559i | \(-0.634880\pi\) |
0.995018 | − | 0.0996961i | \(-0.0317870\pi\) | |||||||
\(752\) | −8.66025 | + | 15.0000i | −0.315807 | + | 0.546994i | ||||
\(753\) | −12.0000 | −0.437304 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 1.73205 | − | 3.00000i | 0.0629941 | − | 0.109109i | ||||
\(757\) | −11.0000 | + | 19.0526i | −0.399802 | + | 0.692477i | −0.993701 | − | 0.112062i | \(-0.964254\pi\) |
0.593899 | + | 0.804539i | \(0.297588\pi\) | |||||||
\(758\) | −15.0000 | − | 25.9808i | −0.544825 | − | 0.943664i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −24.2487 | − | 42.0000i | −0.879015 | − | 1.52250i | −0.852423 | − | 0.522852i | \(-0.824868\pi\) |
−0.0265919 | − | 0.999646i | \(-0.508465\pi\) | |||||||
\(762\) | −13.8564 | −0.501965 | ||||||||
\(763\) | −12.0000 | − | 20.7846i | −0.434429 | − | 0.752453i | ||||
\(764\) | −12.0000 | + | 20.7846i | −0.434145 | + | 0.751961i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 6.00000 | 0.216789 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | −19.0000 | −0.685603 | ||||||||
\(769\) | −13.8564 | + | 24.0000i | −0.499675 | + | 0.865462i | −1.00000 | 0.000375472i | \(-0.999880\pi\) | |
0.500325 | + | 0.865838i | \(0.333214\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −9.00000 | − | 15.5885i | −0.324127 | − | 0.561405i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 6.92820 | + | 12.0000i | 0.249190 | + | 0.431610i | 0.963301 | − | 0.268422i | \(-0.0865023\pi\) |
−0.714111 | + | 0.700032i | \(0.753169\pi\) | |||||||
\(774\) | −3.46410 | − | 6.00000i | −0.124515 | − | 0.215666i | ||||
\(775\) | 17.3205 | 0.622171 | ||||||||
\(776\) | −12.0000 | − | 20.7846i | −0.430775 | − | 0.746124i | ||||
\(777\) | −12.0000 | + | 20.7846i | −0.430498 | + | 0.745644i | ||||
\(778\) | −15.5885 | + | 27.0000i | −0.558873 | + | 0.967997i | ||||
\(779\) | −24.0000 | −0.859889 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 12.0000 | 0.429394 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 3.00000 | − | 5.19615i | 0.107211 | − | 0.185695i | ||||
\(784\) | 12.5000 | + | 21.6506i | 0.446429 | + | 0.773237i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −10.3923 | − | 18.0000i | −0.370681 | − | 0.642039i | ||||
\(787\) | −5.19615 | − | 9.00000i | −0.185223 | − | 0.320815i | 0.758429 | − | 0.651756i | \(-0.225967\pi\) |
−0.943652 | + | 0.330941i | \(0.892634\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −12.0000 | − | 20.7846i | −0.427211 | − | 0.739952i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 10.3923 | − | 18.0000i | 0.369508 | − | 0.640006i | ||||
\(792\) | −6.00000 | −0.213201 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 60.0000 | 2.12932 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 8.00000 | − | 13.8564i | 0.283552 | − | 0.491127i | ||||
\(797\) | −21.0000 | − | 36.3731i | −0.743858 | − | 1.28840i | −0.950726 | − | 0.310031i | \(-0.899660\pi\) |
0.206868 | − | 0.978369i | \(-0.433673\pi\) | |||||||
\(798\) | −20.7846 | −0.735767 | ||||||||
\(799\) | 10.3923 | + | 18.0000i | 0.367653 | + | 0.636794i | ||||
\(800\) | −12.9904 | − | 22.5000i | −0.459279 | − | 0.795495i | ||||
\(801\) | 6.92820 | 0.244796 | ||||||||
\(802\) | 6.00000 | + | 10.3923i | 0.211867 | + | 0.366965i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | −5.19615 | + | 9.00000i | −0.183254 | + | 0.317406i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −6.00000 | −0.211210 | ||||||||
\(808\) | −5.19615 | + | 9.00000i | −0.182800 | + | 0.316619i | ||||
\(809\) | 15.0000 | − | 25.9808i | 0.527372 | − | 0.913435i | −0.472119 | − | 0.881535i | \(-0.656511\pi\) |
0.999491 | − | 0.0319002i | \(-0.0101559\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −38.1051 | −1.33805 | −0.669026 | − | 0.743239i | \(-0.733288\pi\) | ||||
−0.669026 | + | 0.743239i | \(0.733288\pi\) | |||||||
\(812\) | −10.3923 | − | 18.0000i | −0.364698 | − | 0.631676i | ||||
\(813\) | −5.19615 | − | 9.00000i | −0.182237 | − | 0.315644i | ||||
\(814\) | −41.5692 | −1.45700 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −15.0000 | + | 25.9808i | −0.525105 | + | 0.909509i | ||||
\(817\) | −6.92820 | + | 12.0000i | −0.242387 | + | 0.419827i | ||||
\(818\) | 48.0000 | 1.67828 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −6.92820 | + | 12.0000i | −0.241796 | + | 0.418803i | −0.961226 | − | 0.275762i | \(-0.911070\pi\) |
0.719430 | + | 0.694565i | \(0.244403\pi\) | |||||||
\(822\) | 18.0000 | − | 31.1769i | 0.627822 | − | 1.08742i | ||||
\(823\) | −20.0000 | − | 34.6410i | −0.697156 | − | 1.20751i | −0.969448 | − | 0.245295i | \(-0.921115\pi\) |
0.272292 | − | 0.962215i | \(-0.412218\pi\) | |||||||
\(824\) | 13.8564 | 0.482711 | ||||||||
\(825\) | −8.66025 | − | 15.0000i | −0.301511 | − | 0.522233i | ||||
\(826\) | 31.1769 | + | 54.0000i | 1.08478 | + | 1.87890i | ||||
\(827\) | −24.2487 | −0.843210 | −0.421605 | − | 0.906780i | \(-0.638533\pi\) | ||||
−0.421605 | + | 0.906780i | \(0.638533\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −1.00000 | + | 1.73205i | −0.0347314 | + | 0.0601566i | −0.882869 | − | 0.469620i | \(-0.844391\pi\) |
0.848137 | + | 0.529777i | \(0.177724\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −10.0000 | −0.346896 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 30.0000 | 1.03944 | ||||||||
\(834\) | −3.46410 | + | 6.00000i | −0.119952 | + | 0.207763i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −6.00000 | − | 10.3923i | −0.207514 | − | 0.359425i | ||||
\(837\) | 3.46410 | 0.119737 | ||||||||
\(838\) | 10.3923 | + | 18.0000i | 0.358996 | + | 0.621800i | ||||
\(839\) | 1.73205 | + | 3.00000i | 0.0597970 | + | 0.103572i | 0.894374 | − | 0.447320i | \(-0.147621\pi\) |
−0.834577 | + | 0.550891i | \(0.814288\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −3.50000 | − | 6.06218i | −0.120690 | − | 0.209041i | ||||
\(842\) | 30.0000 | − | 51.9615i | 1.03387 | − | 1.79071i | ||||
\(843\) | −3.46410 | + | 6.00000i | −0.119310 | + | 0.206651i | ||||
\(844\) | −20.0000 | −0.688428 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −6.00000 | −0.206284 | ||||||||
\(847\) | −1.73205 | + | 3.00000i | −0.0595140 | + | 0.103081i | ||||
\(848\) | 15.0000 | − | 25.9808i | 0.515102 | − | 0.892183i | ||||
\(849\) | −2.00000 | − | 3.46410i | −0.0686398 | − | 0.118888i | ||||
\(850\) | −51.9615 | −1.78227 | ||||||||
\(851\) | 0 | 0 | ||||||||
\(852\) | 1.73205 | + | 3.00000i | 0.0593391 | + | 0.102778i | ||||
\(853\) | 20.7846 | 0.711651 | 0.355826 | − | 0.934552i | \(-0.384200\pi\) | ||||
0.355826 | + | 0.934552i | \(0.384200\pi\) | |||||||
\(854\) | 6.00000 | + | 10.3923i | 0.205316 | + | 0.355617i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 10.3923 | − | 18.0000i | 0.355202 | − | 0.615227i | ||||
\(857\) | −42.0000 | −1.43469 | −0.717346 | − | 0.696717i | \(-0.754643\pi\) | ||||
−0.717346 | + | 0.696717i | \(0.754643\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 4.00000 | 0.136478 | 0.0682391 | − | 0.997669i | \(-0.478262\pi\) | ||||
0.0682391 | + | 0.997669i | \(0.478262\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −12.0000 | + | 20.7846i | −0.408959 | + | 0.708338i | ||||
\(862\) | 21.0000 | + | 36.3731i | 0.715263 | + | 1.23887i | ||||
\(863\) | 31.1769 | 1.06127 | 0.530637 | − | 0.847599i | \(-0.321953\pi\) | ||||
0.530637 | + | 0.847599i | \(0.321953\pi\) | |||||||
\(864\) | −2.59808 | − | 4.50000i | −0.0883883 | − | 0.153093i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −58.8897 | −2.00115 | ||||||||
\(867\) | 9.50000 | + | 16.4545i | 0.322637 | + | 0.558824i | ||||
\(868\) | 6.00000 | − | 10.3923i | 0.203653 | − | 0.352738i | ||||
\(869\) | 13.8564 | − | 24.0000i | 0.470046 | − | 0.814144i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | −12.0000 | −0.406371 | ||||||||
\(873\) | 6.92820 | − | 12.0000i | 0.234484 | − | 0.406138i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −24.2487 | − | 42.0000i | −0.818821 | − | 1.41824i | −0.906552 | − | 0.422095i | \(-0.861295\pi\) |
0.0877308 | − | 0.996144i | \(-0.472038\pi\) | |||||||
\(878\) | 6.92820 | + | 12.0000i | 0.233816 | + | 0.404980i | ||||
\(879\) | 27.7128 | 0.934730 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 9.00000 | − | 15.5885i | 0.303218 | − | 0.525188i | −0.673645 | − | 0.739055i | \(-0.735272\pi\) |
0.976863 | + | 0.213866i | \(0.0686057\pi\) | |||||||
\(882\) | −4.33013 | + | 7.50000i | −0.145803 | + | 0.252538i | ||||
\(883\) | 20.0000 | 0.673054 | 0.336527 | − | 0.941674i | \(-0.390748\pi\) | ||||
0.336527 | + | 0.941674i | \(0.390748\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 31.1769 | − | 54.0000i | 1.04741 | − | 1.81417i | ||||
\(887\) | −24.0000 | + | 41.5692i | −0.805841 | + | 1.39576i | 0.109881 | + | 0.993945i | \(0.464953\pi\) |
−0.915722 | + | 0.401813i | \(0.868380\pi\) | |||||||
\(888\) | 6.00000 | + | 10.3923i | 0.201347 | + | 0.348743i | ||||
\(889\) | 27.7128 | 0.929458 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −1.73205 | − | 3.00000i | −0.0580259 | − | 0.100504i | ||||
\(892\) | −3.46410 | −0.115987 | ||||||||
\(893\) | 6.00000 | + | 10.3923i | 0.200782 | + | 0.347765i | ||||
\(894\) | 12.0000 | − | 20.7846i | 0.401340 | − | 0.695141i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 42.0000 | 1.40312 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −12.0000 | −0.400445 | ||||||||
\(899\) | 10.3923 | − | 18.0000i | 0.346603 | − | 0.600334i | ||||
\(900\) | 2.50000 | − | 4.33013i | 0.0833333 | − | 0.144338i | ||||
\(901\) | −18.0000 | − | 31.1769i | −0.599667 | − | 1.03865i | ||||
\(902\) | −41.5692 | −1.38410 | ||||||||
\(903\) | 6.92820 | + | 12.0000i | 0.230556 | + | 0.399335i | ||||
\(904\) | −5.19615 | − | 9.00000i | −0.172821 | − | 0.299336i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −9.00000 | − | 15.5885i | −0.299005 | − | 0.517892i | ||||
\(907\) | −22.0000 | + | 38.1051i | −0.730498 | + | 1.26526i | 0.226173 | + | 0.974087i | \(0.427379\pi\) |
−0.956671 | + | 0.291172i | \(0.905955\pi\) | |||||||
\(908\) | 8.66025 | − | 15.0000i | 0.287401 | − | 0.497792i | ||||
\(909\) | −6.00000 | −0.199007 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 24.0000 | 0.795155 | 0.397578 | − | 0.917568i | \(-0.369851\pi\) | ||||
0.397578 | + | 0.917568i | \(0.369851\pi\) | |||||||
\(912\) | −8.66025 | + | 15.0000i | −0.286770 | + | 0.496700i | ||||
\(913\) | 6.00000 | − | 10.3923i | 0.198571 | − | 0.343935i | ||||
\(914\) | 24.0000 | + | 41.5692i | 0.793849 | + | 1.37499i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −3.46410 | − | 6.00000i | −0.114457 | − | 0.198246i | ||||
\(917\) | 20.7846 | + | 36.0000i | 0.686368 | + | 1.18882i | ||||
\(918\) | −10.3923 | −0.342997 | ||||||||
\(919\) | 16.0000 | + | 27.7128i | 0.527791 | + | 0.914161i | 0.999475 | + | 0.0323936i | \(0.0103130\pi\) |
−0.471684 | + | 0.881768i | \(0.656354\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 5.19615 | − | 9.00000i | 0.171219 | − | 0.296560i | ||||
\(922\) | −24.0000 | −0.790398 | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | −12.0000 | −0.394771 | ||||||||
\(925\) | −17.3205 | + | 30.0000i | −0.569495 | + | 0.986394i | ||||
\(926\) | −15.0000 | + | 25.9808i | −0.492931 | + | 0.853781i | ||||
\(927\) | 4.00000 | + | 6.92820i | 0.131377 | + | 0.227552i | ||||
\(928\) | −31.1769 | −1.02343 | ||||||||
\(929\) | 10.3923 | + | 18.0000i | 0.340960 | + | 0.590561i | 0.984611 | − | 0.174758i | \(-0.0559144\pi\) |
−0.643651 | + | 0.765319i | \(0.722581\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 17.3205 | 0.567657 | ||||||||
\(932\) | −3.00000 | − | 5.19615i | −0.0982683 | − | 0.170206i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 10.3923 | − | 18.0000i | 0.340047 | − | 0.588978i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −38.0000 | −1.24141 | −0.620703 | − | 0.784046i | \(-0.713153\pi\) | ||||
−0.620703 | + | 0.784046i | \(0.713153\pi\) | |||||||
\(938\) | 31.1769 | − | 54.0000i | 1.01796 | − | 1.76316i | ||||
\(939\) | 5.00000 | − | 8.66025i | 0.163169 | − | 0.282617i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(942\) | 12.1244 | + | 21.0000i | 0.395033 | + | 0.684217i | ||||
\(943\) | 0 | 0 | ||||||||
\(944\) | 51.9615 | 1.69120 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −12.0000 | + | 20.7846i | −0.390154 | + | 0.675766i | ||||
\(947\) | 25.9808 | − | 45.0000i | 0.844261 | − | 1.46230i | −0.0419998 | − | 0.999118i | \(-0.513373\pi\) |
0.886261 | − | 0.463186i | \(-0.153294\pi\) | |||||||
\(948\) | 8.00000 | 0.259828 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | −30.0000 | −0.973329 | ||||||||
\(951\) | 6.92820 | − | 12.0000i | 0.224662 | − | 0.389127i | ||||
\(952\) | 18.0000 | − | 31.1769i | 0.583383 | − | 1.01045i | ||||
\(953\) | 21.0000 | + | 36.3731i | 0.680257 | + | 1.17824i | 0.974902 | + | 0.222633i | \(0.0714650\pi\) |
−0.294646 | + | 0.955607i | \(0.595202\pi\) | |||||||
\(954\) | 10.3923 | 0.336463 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 5.19615 | + | 9.00000i | 0.168056 | + | 0.291081i | ||||
\(957\) | −20.7846 | −0.671871 | ||||||||
\(958\) | −9.00000 | − | 15.5885i | −0.290777 | − | 0.503640i | ||||
\(959\) | −36.0000 | + | 62.3538i | −1.16250 | + | 2.01351i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −19.0000 | −0.612903 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 12.0000 | 0.386695 | ||||||||
\(964\) | 6.92820 | − | 12.0000i | 0.223142 | − | 0.386494i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 10.3923 | 0.334194 | 0.167097 | − | 0.985940i | \(-0.446561\pi\) | ||||
0.167097 | + | 0.985940i | \(0.446561\pi\) | |||||||
\(968\) | 0.866025 | + | 1.50000i | 0.0278351 | + | 0.0482118i | ||||
\(969\) | 10.3923 | + | 18.0000i | 0.333849 | + | 0.578243i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 6.00000 | + | 10.3923i | 0.192549 | + | 0.333505i | 0.946094 | − | 0.323891i | \(-0.104991\pi\) |
−0.753545 | + | 0.657396i | \(0.771658\pi\) | |||||||
\(972\) | 0.500000 | − | 0.866025i | 0.0160375 | − | 0.0277778i | ||||
\(973\) | 6.92820 | − | 12.0000i | 0.222108 | − | 0.384702i | ||||
\(974\) | 66.0000 | 2.11478 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 10.0000 | 0.320092 | ||||||||
\(977\) | −24.2487 | + | 42.0000i | −0.775785 | + | 1.34370i | 0.158567 | + | 0.987348i | \(0.449313\pi\) |
−0.934352 | + | 0.356351i | \(0.884021\pi\) | |||||||
\(978\) | −3.00000 | + | 5.19615i | −0.0959294 | + | 0.166155i | ||||
\(979\) | −12.0000 | − | 20.7846i | −0.383522 | − | 0.664279i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −3.46410 | − | 6.00000i | −0.110600 | − | 0.191565i | ||||
\(982\) | −10.3923 | − | 18.0000i | −0.331632 | − | 0.574403i | ||||
\(983\) | 51.9615 | 1.65732 | 0.828658 | − | 0.559756i | \(-0.189105\pi\) | ||||
0.828658 | + | 0.559756i | \(0.189105\pi\) | |||||||
\(984\) | 6.00000 | + | 10.3923i | 0.191273 | + | 0.331295i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −31.1769 | + | 54.0000i | −0.992875 | + | 1.71971i | ||||
\(987\) | 12.0000 | 0.381964 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −16.0000 | + | 27.7128i | −0.508257 | + | 0.880327i | 0.491698 | + | 0.870766i | \(0.336377\pi\) |
−0.999954 | + | 0.00956046i | \(0.996957\pi\) | |||||||
\(992\) | −9.00000 | − | 15.5885i | −0.285750 | − | 0.494934i | ||||
\(993\) | −3.46410 | −0.109930 | ||||||||
\(994\) | −10.3923 | − | 18.0000i | −0.329624 | − | 0.570925i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 3.46410 | 0.109764 | ||||||||
\(997\) | −19.0000 | − | 32.9090i | −0.601736 | − | 1.04224i | −0.992558 | − | 0.121771i | \(-0.961143\pi\) |
0.390822 | − | 0.920466i | \(-0.372191\pi\) | |||||||
\(998\) | 9.00000 | − | 15.5885i | 0.284890 | − | 0.493444i | ||||
\(999\) | −3.46410 | + | 6.00000i | −0.109599 | + | 0.189832i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))