Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(654,845)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(845, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.654");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.l (of order \(6\), 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: | \(6.74735897080\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
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: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 65) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 699.1 | ||
Root | \(0.866025 - 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 845.699 |
Dual form | 845.2.l.b.654.1 |
$q$-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 \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | 0.986869 | − | 0.161521i | \(-0.0516399\pi\) |
−0.633316 | + | 0.773893i | \(0.718307\pi\) | |||||||
\(3\) | −1.73205 | + | 1.00000i | −1.00000 | + | 0.577350i | −0.908248 | − | 0.418432i | \(-0.862580\pi\) |
−0.0917517 | + | 0.995782i | \(0.529247\pi\) | |||||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | −1.00000 | − | 2.00000i | −0.447214 | − | 0.894427i | ||||
\(6\) | −1.73205 | − | 1.00000i | −0.707107 | − | 0.408248i | ||||
\(7\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(8\) | 3.00000 | 1.06066 | ||||||||
\(9\) | 0.500000 | − | 0.866025i | 0.166667 | − | 0.288675i | ||||
\(10\) | 1.23205 | − | 1.86603i | 0.389609 | − | 0.590089i | ||||
\(11\) | −1.73205 | + | 1.00000i | −0.522233 | + | 0.301511i | −0.737848 | − | 0.674967i | \(-0.764158\pi\) |
0.215615 | + | 0.976478i | \(0.430824\pi\) | |||||||
\(12\) | 2.00000i | 0.577350i | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 3.73205 | + | 2.46410i | 0.963611 | + | 0.636228i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(18\) | 1.00000 | 0.235702 | ||||||||
\(19\) | −5.19615 | − | 3.00000i | −1.19208 | − | 0.688247i | −0.233301 | − | 0.972404i | \(-0.574953\pi\) |
−0.958778 | + | 0.284157i | \(0.908286\pi\) | |||||||
\(20\) | −2.23205 | − | 0.133975i | −0.499102 | − | 0.0299576i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.73205 | − | 1.00000i | −0.369274 | − | 0.213201i | ||||
\(23\) | −5.19615 | + | 3.00000i | −1.08347 | + | 0.625543i | −0.931831 | − | 0.362892i | \(-0.881789\pi\) |
−0.151642 | + | 0.988436i | \(0.548456\pi\) | |||||||
\(24\) | −5.19615 | + | 3.00000i | −1.06066 | + | 0.612372i | ||||
\(25\) | −3.00000 | + | 4.00000i | −0.600000 | + | 0.800000i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | − | 4.00000i | − | 0.769800i | ||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3.00000 | − | 5.19615i | −0.557086 | − | 0.964901i | −0.997738 | − | 0.0672232i | \(-0.978586\pi\) |
0.440652 | − | 0.897678i | \(-0.354747\pi\) | |||||||
\(30\) | −0.267949 | + | 4.46410i | −0.0489206 | + | 0.815030i | ||||
\(31\) | − | 6.00000i | − | 1.07763i | −0.842424 | − | 0.538816i | \(-0.818872\pi\) | ||
0.842424 | − | 0.538816i | \(-0.181128\pi\) | |||||||
\(32\) | 2.50000 | − | 4.33013i | 0.441942 | − | 0.765466i | ||||
\(33\) | 2.00000 | − | 3.46410i | 0.348155 | − | 0.603023i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.500000 | − | 0.866025i | −0.0833333 | − | 0.144338i | ||||
\(37\) | −3.00000 | − | 5.19615i | −0.493197 | − | 0.854242i | 0.506772 | − | 0.862080i | \(-0.330838\pi\) |
−0.999969 | + | 0.00783774i | \(0.997505\pi\) | |||||||
\(38\) | − | 6.00000i | − | 0.973329i | ||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −3.00000 | − | 6.00000i | −0.474342 | − | 0.948683i | ||||
\(41\) | 6.92820 | − | 4.00000i | 1.08200 | − | 0.624695i | 0.150567 | − | 0.988600i | \(-0.451890\pi\) |
0.931436 | + | 0.363905i | \(0.118557\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.19615 | − | 3.00000i | −0.792406 | − | 0.457496i | 0.0484030 | − | 0.998828i | \(-0.484587\pi\) |
−0.840809 | + | 0.541332i | \(0.817920\pi\) | |||||||
\(44\) | 2.00000i | 0.301511i | ||||||||
\(45\) | −2.23205 | − | 0.133975i | −0.332734 | − | 0.0199718i | ||||
\(46\) | −5.19615 | − | 3.00000i | −0.766131 | − | 0.442326i | ||||
\(47\) | −8.00000 | −1.16692 | −0.583460 | − | 0.812142i | \(-0.698301\pi\) | ||||
−0.583460 | + | 0.812142i | \(0.698301\pi\) | |||||||
\(48\) | −1.73205 | − | 1.00000i | −0.250000 | − | 0.144338i | ||||
\(49\) | 3.50000 | + | 6.06218i | 0.500000 | + | 0.866025i | ||||
\(50\) | −4.96410 | − | 0.598076i | −0.702030 | − | 0.0845807i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 12.0000i | 1.64833i | 0.566352 | + | 0.824163i | \(0.308354\pi\) | ||||
−0.566352 | + | 0.824163i | \(0.691646\pi\) | |||||||
\(54\) | 3.46410 | − | 2.00000i | 0.471405 | − | 0.272166i | ||||
\(55\) | 3.73205 | + | 2.46410i | 0.503230 | + | 0.332259i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 12.0000 | 1.58944 | ||||||||
\(58\) | 3.00000 | − | 5.19615i | 0.393919 | − | 0.682288i | ||||
\(59\) | 1.73205 | + | 1.00000i | 0.225494 | + | 0.130189i | 0.608492 | − | 0.793560i | \(-0.291775\pi\) |
−0.382998 | + | 0.923749i | \(0.625108\pi\) | |||||||
\(60\) | 4.00000 | − | 2.00000i | 0.516398 | − | 0.258199i | ||||
\(61\) | −3.00000 | + | 5.19615i | −0.384111 | + | 0.665299i | −0.991645 | − | 0.128994i | \(-0.958825\pi\) |
0.607535 | + | 0.794293i | \(0.292159\pi\) | |||||||
\(62\) | 5.19615 | − | 3.00000i | 0.659912 | − | 0.381000i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.00000 | 0.875000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 4.00000 | 0.492366 | ||||||||
\(67\) | −6.00000 | − | 10.3923i | −0.733017 | − | 1.26962i | −0.955588 | − | 0.294706i | \(-0.904778\pi\) |
0.222571 | − | 0.974916i | \(-0.428555\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 6.00000 | − | 10.3923i | 0.722315 | − | 1.25109i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.73205 | − | 1.00000i | −0.205557 | − | 0.118678i | 0.393688 | − | 0.919244i | \(-0.371199\pi\) |
−0.599245 | + | 0.800566i | \(0.704532\pi\) | |||||||
\(72\) | 1.50000 | − | 2.59808i | 0.176777 | − | 0.306186i | ||||
\(73\) | −6.00000 | −0.702247 | −0.351123 | − | 0.936329i | \(-0.614200\pi\) | ||||
−0.351123 | + | 0.936329i | \(0.614200\pi\) | |||||||
\(74\) | 3.00000 | − | 5.19615i | 0.348743 | − | 0.604040i | ||||
\(75\) | 1.19615 | − | 9.92820i | 0.138120 | − | 1.14641i | ||||
\(76\) | −5.19615 | + | 3.00000i | −0.596040 | + | 0.344124i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(80\) | 1.23205 | − | 1.86603i | 0.137747 | − | 0.208628i | ||||
\(81\) | 5.50000 | + | 9.52628i | 0.611111 | + | 1.05848i | ||||
\(82\) | 6.92820 | + | 4.00000i | 0.765092 | + | 0.441726i | ||||
\(83\) | −4.00000 | −0.439057 | −0.219529 | − | 0.975606i | \(-0.570452\pi\) | ||||
−0.219529 | + | 0.975606i | \(0.570452\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | − | 6.00000i | − | 0.646997i | ||||||
\(87\) | 10.3923 | + | 6.00000i | 1.11417 | + | 0.643268i | ||||
\(88\) | −5.19615 | + | 3.00000i | −0.553912 | + | 0.319801i | ||||
\(89\) | 6.92820 | − | 4.00000i | 0.734388 | − | 0.423999i | −0.0856373 | − | 0.996326i | \(-0.527293\pi\) |
0.820025 | + | 0.572327i | \(0.193959\pi\) | |||||||
\(90\) | −1.00000 | − | 2.00000i | −0.105409 | − | 0.210819i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 6.00000i | 0.625543i | ||||||||
\(93\) | 6.00000 | + | 10.3923i | 0.622171 | + | 1.07763i | ||||
\(94\) | −4.00000 | − | 6.92820i | −0.412568 | − | 0.714590i | ||||
\(95\) | −0.803848 | + | 13.3923i | −0.0824730 | + | 1.37402i | ||||
\(96\) | 10.0000i | 1.02062i | ||||||||
\(97\) | 3.00000 | − | 5.19615i | 0.304604 | − | 0.527589i | −0.672569 | − | 0.740034i | \(-0.734809\pi\) |
0.977173 | + | 0.212445i | \(0.0681426\pi\) | |||||||
\(98\) | −3.50000 | + | 6.06218i | −0.353553 | + | 0.612372i | ||||
\(99\) | 2.00000i | 0.201008i | ||||||||
\(100\) | 1.96410 | + | 4.59808i | 0.196410 | + | 0.459808i | ||||
\(101\) | −3.00000 | − | 5.19615i | −0.298511 | − | 0.517036i | 0.677284 | − | 0.735721i | \(-0.263157\pi\) |
−0.975796 | + | 0.218685i | \(0.929823\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 6.00000i | − | 0.591198i | −0.955312 | − | 0.295599i | \(-0.904481\pi\) | ||
0.955312 | − | 0.295599i | \(-0.0955191\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −10.3923 | + | 6.00000i | −1.00939 | + | 0.582772i | ||||
\(107\) | 5.19615 | − | 3.00000i | 0.502331 | − | 0.290021i | −0.227345 | − | 0.973814i | \(-0.573004\pi\) |
0.729676 | + | 0.683793i | \(0.239671\pi\) | |||||||
\(108\) | −3.46410 | − | 2.00000i | −0.333333 | − | 0.192450i | ||||
\(109\) | − | 12.0000i | − | 1.14939i | −0.818367 | − | 0.574696i | \(-0.805120\pi\) | ||
0.818367 | − | 0.574696i | \(-0.194880\pi\) | |||||||
\(110\) | −0.267949 | + | 4.46410i | −0.0255480 | + | 0.425635i | ||||
\(111\) | 10.3923 | + | 6.00000i | 0.986394 | + | 0.569495i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(114\) | 6.00000 | + | 10.3923i | 0.561951 | + | 0.973329i | ||||
\(115\) | 11.1962 | + | 7.39230i | 1.04405 | + | 0.689336i | ||||
\(116\) | −6.00000 | −0.557086 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 2.00000i | 0.184115i | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 11.1962 | + | 7.39230i | 1.02206 | + | 0.674822i | ||||
\(121\) | −3.50000 | + | 6.06218i | −0.318182 | + | 0.551107i | ||||
\(122\) | −6.00000 | −0.543214 | ||||||||
\(123\) | −8.00000 | + | 13.8564i | −0.721336 | + | 1.24939i | ||||
\(124\) | −5.19615 | − | 3.00000i | −0.466628 | − | 0.269408i | ||||
\(125\) | 11.0000 | + | 2.00000i | 0.983870 | + | 0.178885i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.73205 | − | 1.00000i | 0.153695 | − | 0.0887357i | −0.421180 | − | 0.906977i | \(-0.638384\pi\) |
0.574875 | + | 0.818241i | \(0.305051\pi\) | |||||||
\(128\) | −1.50000 | − | 2.59808i | −0.132583 | − | 0.229640i | ||||
\(129\) | 12.0000 | 1.05654 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −12.0000 | −1.04844 | −0.524222 | − | 0.851581i | \(-0.675644\pi\) | ||||
−0.524222 | + | 0.851581i | \(0.675644\pi\) | |||||||
\(132\) | −2.00000 | − | 3.46410i | −0.174078 | − | 0.301511i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 6.00000 | − | 10.3923i | 0.518321 | − | 0.897758i | ||||
\(135\) | −8.00000 | + | 4.00000i | −0.688530 | + | 0.344265i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −1.00000 | + | 1.73205i | −0.0854358 | + | 0.147979i | −0.905577 | − | 0.424182i | \(-0.860562\pi\) |
0.820141 | + | 0.572161i | \(0.193895\pi\) | |||||||
\(138\) | 12.0000 | 1.02151 | ||||||||
\(139\) | 2.00000 | − | 3.46410i | 0.169638 | − | 0.293821i | −0.768655 | − | 0.639664i | \(-0.779074\pi\) |
0.938293 | + | 0.345843i | \(0.112407\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 13.8564 | − | 8.00000i | 1.16692 | − | 0.673722i | ||||
\(142\) | − | 2.00000i | − | 0.167836i | ||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 1.00000 | 0.0833333 | ||||||||
\(145\) | −7.39230 | + | 11.1962i | −0.613898 | + | 0.929790i | ||||
\(146\) | −3.00000 | − | 5.19615i | −0.248282 | − | 0.430037i | ||||
\(147\) | −12.1244 | − | 7.00000i | −1.00000 | − | 0.577350i | ||||
\(148\) | −6.00000 | −0.493197 | ||||||||
\(149\) | 17.3205 | + | 10.0000i | 1.41895 | + | 0.819232i | 0.996207 | − | 0.0870170i | \(-0.0277334\pi\) |
0.422744 | + | 0.906249i | \(0.361067\pi\) | |||||||
\(150\) | 9.19615 | − | 3.92820i | 0.750863 | − | 0.320736i | ||||
\(151\) | 18.0000i | 1.46482i | 0.680864 | + | 0.732410i | \(0.261604\pi\) | ||||
−0.680864 | + | 0.732410i | \(0.738396\pi\) | |||||||
\(152\) | −15.5885 | − | 9.00000i | −1.26439 | − | 0.729996i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −12.0000 | + | 6.00000i | −0.963863 | + | 0.481932i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 12.0000i | − | 0.957704i | −0.877896 | − | 0.478852i | \(-0.841053\pi\) | ||
0.877896 | − | 0.478852i | \(-0.158947\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −12.0000 | − | 20.7846i | −0.951662 | − | 1.64833i | ||||
\(160\) | −11.1603 | − | 0.669873i | −0.882296 | − | 0.0529581i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −5.50000 | + | 9.52628i | −0.432121 | + | 0.748455i | ||||
\(163\) | −6.00000 | + | 10.3923i | −0.469956 | + | 0.813988i | −0.999410 | − | 0.0343508i | \(-0.989064\pi\) |
0.529454 | + | 0.848339i | \(0.322397\pi\) | |||||||
\(164\) | − | 8.00000i | − | 0.624695i | ||||||
\(165\) | −8.92820 | − | 0.535898i | −0.695060 | − | 0.0417196i | ||||
\(166\) | −2.00000 | − | 3.46410i | −0.155230 | − | 0.268866i | ||||
\(167\) | 8.00000 | + | 13.8564i | 0.619059 | + | 1.07224i | 0.989658 | + | 0.143448i | \(0.0458190\pi\) |
−0.370599 | + | 0.928793i | \(0.620848\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −5.19615 | + | 3.00000i | −0.397360 | + | 0.229416i | ||||
\(172\) | −5.19615 | + | 3.00000i | −0.396203 | + | 0.228748i | ||||
\(173\) | 10.3923 | + | 6.00000i | 0.790112 | + | 0.456172i | 0.840002 | − | 0.542583i | \(-0.182554\pi\) |
−0.0498898 | + | 0.998755i | \(0.515887\pi\) | |||||||
\(174\) | 12.0000i | 0.909718i | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −1.73205 | − | 1.00000i | −0.130558 | − | 0.0753778i | ||||
\(177\) | −4.00000 | −0.300658 | ||||||||
\(178\) | 6.92820 | + | 4.00000i | 0.519291 | + | 0.299813i | ||||
\(179\) | 6.00000 | + | 10.3923i | 0.448461 | + | 0.776757i | 0.998286 | − | 0.0585225i | \(-0.0186389\pi\) |
−0.549825 | + | 0.835280i | \(0.685306\pi\) | |||||||
\(180\) | −1.23205 | + | 1.86603i | −0.0918316 | + | 0.139085i | ||||
\(181\) | −2.00000 | −0.148659 | −0.0743294 | − | 0.997234i | \(-0.523682\pi\) | ||||
−0.0743294 | + | 0.997234i | \(0.523682\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | − | 12.0000i | − | 0.887066i | ||||||
\(184\) | −15.5885 | + | 9.00000i | −1.14920 | + | 0.663489i | ||||
\(185\) | −7.39230 | + | 11.1962i | −0.543493 | + | 0.823157i | ||||
\(186\) | −6.00000 | + | 10.3923i | −0.439941 | + | 0.762001i | ||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −4.00000 | + | 6.92820i | −0.291730 | + | 0.505291i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −12.0000 | + | 6.00000i | −0.870572 | + | 0.435286i | ||||
\(191\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(192\) | −12.1244 | + | 7.00000i | −0.875000 | + | 0.505181i | ||||
\(193\) | 3.00000 | + | 5.19615i | 0.215945 | + | 0.374027i | 0.953564 | − | 0.301189i | \(-0.0973836\pi\) |
−0.737620 | + | 0.675216i | \(0.764050\pi\) | |||||||
\(194\) | 6.00000 | 0.430775 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 7.00000 | 0.500000 | ||||||||
\(197\) | 1.00000 | + | 1.73205i | 0.0712470 | + | 0.123404i | 0.899448 | − | 0.437028i | \(-0.143969\pi\) |
−0.828201 | + | 0.560431i | \(0.810635\pi\) | |||||||
\(198\) | −1.73205 | + | 1.00000i | −0.123091 | + | 0.0710669i | ||||
\(199\) | 12.0000 | − | 20.7846i | 0.850657 | − | 1.47338i | −0.0299585 | − | 0.999551i | \(-0.509538\pi\) |
0.880616 | − | 0.473831i | \(-0.157129\pi\) | |||||||
\(200\) | −9.00000 | + | 12.0000i | −0.636396 | + | 0.848528i | ||||
\(201\) | 20.7846 | + | 12.0000i | 1.46603 | + | 0.846415i | ||||
\(202\) | 3.00000 | − | 5.19615i | 0.211079 | − | 0.365600i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −14.9282 | − | 9.85641i | −1.04263 | − | 0.688401i | ||||
\(206\) | 5.19615 | − | 3.00000i | 0.362033 | − | 0.209020i | ||||
\(207\) | 6.00000i | 0.417029i | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 12.0000 | 0.830057 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 6.00000 | + | 10.3923i | 0.413057 | + | 0.715436i | 0.995222 | − | 0.0976347i | \(-0.0311277\pi\) |
−0.582165 | + | 0.813070i | \(0.697794\pi\) | |||||||
\(212\) | 10.3923 | + | 6.00000i | 0.713746 | + | 0.412082i | ||||
\(213\) | 4.00000 | 0.274075 | ||||||||
\(214\) | 5.19615 | + | 3.00000i | 0.355202 | + | 0.205076i | ||||
\(215\) | −0.803848 | + | 13.3923i | −0.0548219 | + | 0.913348i | ||||
\(216\) | − | 12.0000i | − | 0.816497i | ||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 10.3923 | − | 6.00000i | 0.703856 | − | 0.406371i | ||||
\(219\) | 10.3923 | − | 6.00000i | 0.702247 | − | 0.405442i | ||||
\(220\) | 4.00000 | − | 2.00000i | 0.269680 | − | 0.134840i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 12.0000i | 0.805387i | ||||||||
\(223\) | −12.0000 | − | 20.7846i | −0.803579 | − | 1.39184i | −0.917246 | − | 0.398321i | \(-0.869593\pi\) |
0.113666 | − | 0.993519i | \(-0.463740\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1.96410 | + | 4.59808i | 0.130940 | + | 0.306538i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 2.00000 | − | 3.46410i | 0.132745 | − | 0.229920i | −0.791989 | − | 0.610535i | \(-0.790954\pi\) |
0.924734 | + | 0.380615i | \(0.124288\pi\) | |||||||
\(228\) | 6.00000 | − | 10.3923i | 0.397360 | − | 0.688247i | ||||
\(229\) | 12.0000i | 0.792982i | 0.918039 | + | 0.396491i | \(0.129772\pi\) | ||||
−0.918039 | + | 0.396491i | \(0.870228\pi\) | |||||||
\(230\) | −0.803848 | + | 13.3923i | −0.0530041 | + | 0.883062i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −9.00000 | − | 15.5885i | −0.590879 | − | 1.02343i | ||||
\(233\) | 24.0000i | 1.57229i | 0.618041 | + | 0.786146i | \(0.287927\pi\) | ||||
−0.618041 | + | 0.786146i | \(0.712073\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 8.00000 | + | 16.0000i | 0.521862 | + | 1.04372i | ||||
\(236\) | 1.73205 | − | 1.00000i | 0.112747 | − | 0.0650945i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 10.0000i | 0.646846i | 0.946254 | + | 0.323423i | \(0.104834\pi\) | ||||
−0.946254 | + | 0.323423i | \(0.895166\pi\) | |||||||
\(240\) | −0.267949 | + | 4.46410i | −0.0172960 | + | 0.288157i | ||||
\(241\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(242\) | −7.00000 | −0.449977 | ||||||||
\(243\) | −8.66025 | − | 5.00000i | −0.555556 | − | 0.320750i | ||||
\(244\) | 3.00000 | + | 5.19615i | 0.192055 | + | 0.332650i | ||||
\(245\) | 8.62436 | − | 13.0622i | 0.550990 | − | 0.834512i | ||||
\(246\) | −16.0000 | −1.02012 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | − | 18.0000i | − | 1.14300i | ||||||
\(249\) | 6.92820 | − | 4.00000i | 0.439057 | − | 0.253490i | ||||
\(250\) | 3.76795 | + | 10.5263i | 0.238306 | + | 0.665740i | ||||
\(251\) | −6.00000 | + | 10.3923i | −0.378717 | + | 0.655956i | −0.990876 | − | 0.134778i | \(-0.956968\pi\) |
0.612159 | + | 0.790735i | \(0.290301\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 6.00000 | − | 10.3923i | 0.377217 | − | 0.653359i | ||||
\(254\) | 1.73205 | + | 1.00000i | 0.108679 | + | 0.0627456i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 8.50000 | − | 14.7224i | 0.531250 | − | 0.920152i | ||||
\(257\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(258\) | 6.00000 | + | 10.3923i | 0.373544 | + | 0.646997i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −6.00000 | −0.371391 | ||||||||
\(262\) | −6.00000 | − | 10.3923i | −0.370681 | − | 0.642039i | ||||
\(263\) | −5.19615 | + | 3.00000i | −0.320408 | + | 0.184988i | −0.651575 | − | 0.758585i | \(-0.725891\pi\) |
0.331166 | + | 0.943572i | \(0.392558\pi\) | |||||||
\(264\) | 6.00000 | − | 10.3923i | 0.369274 | − | 0.639602i | ||||
\(265\) | 24.0000 | − | 12.0000i | 1.47431 | − | 0.737154i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −8.00000 | + | 13.8564i | −0.489592 | + | 0.847998i | ||||
\(268\) | −12.0000 | −0.733017 | ||||||||
\(269\) | 9.00000 | − | 15.5885i | 0.548740 | − | 0.950445i | −0.449622 | − | 0.893219i | \(-0.648441\pi\) |
0.998361 | − | 0.0572259i | \(-0.0182255\pi\) | |||||||
\(270\) | −7.46410 | − | 4.92820i | −0.454251 | − | 0.299921i | ||||
\(271\) | −5.19615 | + | 3.00000i | −0.315644 | + | 0.182237i | −0.649449 | − | 0.760405i | \(-0.725000\pi\) |
0.333805 | + | 0.942642i | \(0.391667\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.00000 | −0.120824 | ||||||||
\(275\) | 1.19615 | − | 9.92820i | 0.0721307 | − | 0.598693i | ||||
\(276\) | −6.00000 | − | 10.3923i | −0.361158 | − | 0.625543i | ||||
\(277\) | −10.3923 | − | 6.00000i | −0.624413 | − | 0.360505i | 0.154172 | − | 0.988044i | \(-0.450729\pi\) |
−0.778585 | + | 0.627539i | \(0.784062\pi\) | |||||||
\(278\) | 4.00000 | 0.239904 | ||||||||
\(279\) | −5.19615 | − | 3.00000i | −0.311086 | − | 0.179605i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 8.00000i | − | 0.477240i | −0.971113 | − | 0.238620i | \(-0.923305\pi\) | ||
0.971113 | − | 0.238620i | \(-0.0766950\pi\) | |||||||
\(282\) | 13.8564 | + | 8.00000i | 0.825137 | + | 0.476393i | ||||
\(283\) | 19.0526 | − | 11.0000i | 1.13256 | − | 0.653882i | 0.187980 | − | 0.982173i | \(-0.439806\pi\) |
0.944577 | + | 0.328291i | \(0.106473\pi\) | |||||||
\(284\) | −1.73205 | + | 1.00000i | −0.102778 | + | 0.0593391i | ||||
\(285\) | −12.0000 | − | 24.0000i | −0.710819 | − | 1.42164i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −2.50000 | − | 4.33013i | −0.147314 | − | 0.255155i | ||||
\(289\) | −8.50000 | − | 14.7224i | −0.500000 | − | 0.866025i | ||||
\(290\) | −13.3923 | − | 0.803848i | −0.786423 | − | 0.0472036i | ||||
\(291\) | 12.0000i | 0.703452i | ||||||||
\(292\) | −3.00000 | + | 5.19615i | −0.175562 | + | 0.304082i | ||||
\(293\) | 13.0000 | − | 22.5167i | 0.759468 | − | 1.31544i | −0.183654 | − | 0.982991i | \(-0.558793\pi\) |
0.943122 | − | 0.332446i | \(-0.107874\pi\) | |||||||
\(294\) | − | 14.0000i | − | 0.816497i | ||||||
\(295\) | 0.267949 | − | 4.46410i | 0.0156006 | − | 0.259910i | ||||
\(296\) | −9.00000 | − | 15.5885i | −0.523114 | − | 0.906061i | ||||
\(297\) | 4.00000 | + | 6.92820i | 0.232104 | + | 0.402015i | ||||
\(298\) | 20.0000i | 1.15857i | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | −8.00000 | − | 6.00000i | −0.461880 | − | 0.346410i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −15.5885 | + | 9.00000i | −0.897015 | + | 0.517892i | ||||
\(303\) | 10.3923 | + | 6.00000i | 0.597022 | + | 0.344691i | ||||
\(304\) | − | 6.00000i | − | 0.344124i | ||||||
\(305\) | 13.3923 | + | 0.803848i | 0.766841 | + | 0.0460282i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 12.0000 | 0.684876 | 0.342438 | − | 0.939540i | \(-0.388747\pi\) | ||||
0.342438 | + | 0.939540i | \(0.388747\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 6.00000 | + | 10.3923i | 0.341328 | + | 0.591198i | ||||
\(310\) | −11.1962 | − | 7.39230i | −0.635899 | − | 0.419855i | ||||
\(311\) | 24.0000 | 1.36092 | 0.680458 | − | 0.732787i | \(-0.261781\pi\) | ||||
0.680458 | + | 0.732787i | \(0.261781\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 8.00000i | − | 0.452187i | −0.974106 | − | 0.226093i | \(-0.927405\pi\) | ||
0.974106 | − | 0.226093i | \(-0.0725954\pi\) | |||||||
\(314\) | 10.3923 | − | 6.00000i | 0.586472 | − | 0.338600i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −2.00000 | −0.112331 | −0.0561656 | − | 0.998421i | \(-0.517887\pi\) | ||||
−0.0561656 | + | 0.998421i | \(0.517887\pi\) | |||||||
\(318\) | 12.0000 | − | 20.7846i | 0.672927 | − | 1.16554i | ||||
\(319\) | 10.3923 | + | 6.00000i | 0.581857 | + | 0.335936i | ||||
\(320\) | −7.00000 | − | 14.0000i | −0.391312 | − | 0.782624i | ||||
\(321\) | −6.00000 | + | 10.3923i | −0.334887 | + | 0.580042i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 11.0000 | 0.611111 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −12.0000 | −0.664619 | ||||||||
\(327\) | 12.0000 | + | 20.7846i | 0.663602 | + | 1.14939i | ||||
\(328\) | 20.7846 | − | 12.0000i | 1.14764 | − | 0.662589i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −4.00000 | − | 8.00000i | −0.220193 | − | 0.440386i | ||||
\(331\) | −25.9808 | − | 15.0000i | −1.42803 | − | 0.824475i | −0.431066 | − | 0.902320i | \(-0.641863\pi\) |
−0.996965 | + | 0.0778456i | \(0.975196\pi\) | |||||||
\(332\) | −2.00000 | + | 3.46410i | −0.109764 | + | 0.190117i | ||||
\(333\) | −6.00000 | −0.328798 | ||||||||
\(334\) | −8.00000 | + | 13.8564i | −0.437741 | + | 0.758189i | ||||
\(335\) | −14.7846 | + | 22.3923i | −0.807770 | + | 1.22342i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 32.0000i | − | 1.74315i | −0.490261 | − | 0.871576i | \(-0.663099\pi\) | ||
0.490261 | − | 0.871576i | \(-0.336901\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 6.00000 | + | 10.3923i | 0.324918 | + | 0.562775i | ||||
\(342\) | −5.19615 | − | 3.00000i | −0.280976 | − | 0.162221i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −15.5885 | − | 9.00000i | −0.840473 | − | 0.485247i | ||||
\(345\) | −26.7846 | − | 1.60770i | −1.44203 | − | 0.0865554i | ||||
\(346\) | 12.0000i | 0.645124i | ||||||||
\(347\) | −5.19615 | − | 3.00000i | −0.278944 | − | 0.161048i | 0.354001 | − | 0.935245i | \(-0.384821\pi\) |
−0.632945 | + | 0.774197i | \(0.718154\pi\) | |||||||
\(348\) | 10.3923 | − | 6.00000i | 0.557086 | − | 0.321634i | ||||
\(349\) | −10.3923 | + | 6.00000i | −0.556287 | + | 0.321173i | −0.751654 | − | 0.659558i | \(-0.770744\pi\) |
0.195367 | + | 0.980730i | \(0.437410\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 10.0000i | 0.533002i | ||||||||
\(353\) | 7.00000 | + | 12.1244i | 0.372572 | + | 0.645314i | 0.989960 | − | 0.141344i | \(-0.0451425\pi\) |
−0.617388 | + | 0.786659i | \(0.711809\pi\) | |||||||
\(354\) | −2.00000 | − | 3.46410i | −0.106299 | − | 0.184115i | ||||
\(355\) | −0.267949 | + | 4.46410i | −0.0142213 | + | 0.236930i | ||||
\(356\) | − | 8.00000i | − | 0.423999i | ||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −6.00000 | + | 10.3923i | −0.317110 | + | 0.549250i | ||||
\(359\) | 2.00000i | 0.105556i | 0.998606 | + | 0.0527780i | \(0.0168076\pi\) | ||||
−0.998606 | + | 0.0527780i | \(0.983192\pi\) | |||||||
\(360\) | −6.69615 | − | 0.401924i | −0.352918 | − | 0.0211832i | ||||
\(361\) | 8.50000 | + | 14.7224i | 0.447368 | + | 0.774865i | ||||
\(362\) | −1.00000 | − | 1.73205i | −0.0525588 | − | 0.0910346i | ||||
\(363\) | − | 14.0000i | − | 0.734809i | ||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 6.00000 | + | 12.0000i | 0.314054 | + | 0.628109i | ||||
\(366\) | 10.3923 | − | 6.00000i | 0.543214 | − | 0.313625i | ||||
\(367\) | 15.5885 | − | 9.00000i | 0.813711 | − | 0.469796i | −0.0345320 | − | 0.999404i | \(-0.510994\pi\) |
0.848243 | + | 0.529607i | \(0.177661\pi\) | |||||||
\(368\) | −5.19615 | − | 3.00000i | −0.270868 | − | 0.156386i | ||||
\(369\) | − | 8.00000i | − | 0.416463i | ||||||
\(370\) | −13.3923 | − | 0.803848i | −0.696233 | − | 0.0417900i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 12.0000 | 0.622171 | ||||||||
\(373\) | 3.46410 | + | 2.00000i | 0.179364 | + | 0.103556i | 0.586994 | − | 0.809591i | \(-0.300311\pi\) |
−0.407630 | + | 0.913147i | \(0.633645\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −21.0526 | + | 7.53590i | −1.08715 | + | 0.389152i | ||||
\(376\) | −24.0000 | −1.23771 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −15.5885 | + | 9.00000i | −0.800725 | + | 0.462299i | −0.843725 | − | 0.536776i | \(-0.819642\pi\) |
0.0429994 | + | 0.999075i | \(0.486309\pi\) | |||||||
\(380\) | 11.1962 | + | 7.39230i | 0.574351 | + | 0.379217i | ||||
\(381\) | −2.00000 | + | 3.46410i | −0.102463 | + | 0.177471i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −4.00000 | + | 6.92820i | −0.204390 | + | 0.354015i | −0.949938 | − | 0.312437i | \(-0.898855\pi\) |
0.745548 | + | 0.666452i | \(0.232188\pi\) | |||||||
\(384\) | 5.19615 | + | 3.00000i | 0.265165 | + | 0.153093i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −3.00000 | + | 5.19615i | −0.152696 | + | 0.264477i | ||||
\(387\) | −5.19615 | + | 3.00000i | −0.264135 | + | 0.152499i | ||||
\(388\) | −3.00000 | − | 5.19615i | −0.152302 | − | 0.263795i | ||||
\(389\) | 6.00000 | 0.304212 | 0.152106 | − | 0.988364i | \(-0.451394\pi\) | ||||
0.152106 | + | 0.988364i | \(0.451394\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 10.5000 | + | 18.1865i | 0.530330 | + | 0.918559i | ||||
\(393\) | 20.7846 | − | 12.0000i | 1.04844 | − | 0.605320i | ||||
\(394\) | −1.00000 | + | 1.73205i | −0.0503793 | + | 0.0872595i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 1.73205 | + | 1.00000i | 0.0870388 | + | 0.0502519i | ||||
\(397\) | 9.00000 | − | 15.5885i | 0.451697 | − | 0.782362i | −0.546795 | − | 0.837267i | \(-0.684152\pi\) |
0.998492 | + | 0.0549046i | \(0.0174855\pi\) | |||||||
\(398\) | 24.0000 | 1.20301 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.96410 | − | 0.598076i | −0.248205 | − | 0.0299038i | ||||
\(401\) | −13.8564 | + | 8.00000i | −0.691956 | + | 0.399501i | −0.804344 | − | 0.594163i | \(-0.797483\pi\) |
0.112388 | + | 0.993664i | \(0.464150\pi\) | |||||||
\(402\) | 24.0000i | 1.19701i | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −6.00000 | −0.298511 | ||||||||
\(405\) | 13.5526 | − | 20.5263i | 0.673432 | − | 1.01996i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 10.3923 | + | 6.00000i | 0.515127 | + | 0.297409i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −20.7846 | − | 12.0000i | −1.02773 | − | 0.593362i | −0.111398 | − | 0.993776i | \(-0.535533\pi\) |
−0.916334 | + | 0.400414i | \(0.868866\pi\) | |||||||
\(410\) | 1.07180 | − | 17.8564i | 0.0529323 | − | 0.881865i | ||||
\(411\) | − | 4.00000i | − | 0.197305i | ||||||
\(412\) | −5.19615 | − | 3.00000i | −0.255996 | − | 0.147799i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −5.19615 | + | 3.00000i | −0.255377 | + | 0.147442i | ||||
\(415\) | 4.00000 | + | 8.00000i | 0.196352 | + | 0.392705i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 8.00000i | 0.391762i | ||||||||
\(418\) | 6.00000 | + | 10.3923i | 0.293470 | + | 0.508304i | ||||
\(419\) | 6.00000 | + | 10.3923i | 0.293119 | + | 0.507697i | 0.974546 | − | 0.224189i | \(-0.0719734\pi\) |
−0.681426 | + | 0.731887i | \(0.738640\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 36.0000i | − | 1.75453i | −0.480004 | − | 0.877266i | \(-0.659365\pi\) | ||
0.480004 | − | 0.877266i | \(-0.340635\pi\) | |||||||
\(422\) | −6.00000 | + | 10.3923i | −0.292075 | + | 0.505889i | ||||
\(423\) | −4.00000 | + | 6.92820i | −0.194487 | + | 0.336861i | ||||
\(424\) | 36.0000i | 1.74831i | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 2.00000 | + | 3.46410i | 0.0969003 | + | 0.167836i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | − | 6.00000i | − | 0.290021i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −12.0000 | + | 6.00000i | −0.578691 | + | 0.289346i | ||||
\(431\) | 8.66025 | − | 5.00000i | 0.417150 | − | 0.240842i | −0.276707 | − | 0.960954i | \(-0.589243\pi\) |
0.693857 | + | 0.720113i | \(0.255910\pi\) | |||||||
\(432\) | 3.46410 | − | 2.00000i | 0.166667 | − | 0.0962250i | ||||
\(433\) | 13.8564 | + | 8.00000i | 0.665896 | + | 0.384455i | 0.794520 | − | 0.607238i | \(-0.207723\pi\) |
−0.128624 | + | 0.991693i | \(0.541056\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.60770 | − | 26.7846i | 0.0770831 | − | 1.28422i | ||||
\(436\) | −10.3923 | − | 6.00000i | −0.497701 | − | 0.287348i | ||||
\(437\) | 36.0000 | 1.72211 | ||||||||
\(438\) | 10.3923 | + | 6.00000i | 0.496564 | + | 0.286691i | ||||
\(439\) | −4.00000 | − | 6.92820i | −0.190910 | − | 0.330665i | 0.754642 | − | 0.656136i | \(-0.227810\pi\) |
−0.945552 | + | 0.325471i | \(0.894477\pi\) | |||||||
\(440\) | 11.1962 | + | 7.39230i | 0.533756 | + | 0.352414i | ||||
\(441\) | 7.00000 | 0.333333 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 6.00000i | 0.285069i | 0.989790 | + | 0.142534i | \(0.0455251\pi\) | ||||
−0.989790 | + | 0.142534i | \(0.954475\pi\) | |||||||
\(444\) | 10.3923 | − | 6.00000i | 0.493197 | − | 0.284747i | ||||
\(445\) | −14.9282 | − | 9.85641i | −0.707665 | − | 0.467238i | ||||
\(446\) | 12.0000 | − | 20.7846i | 0.568216 | − | 0.984180i | ||||
\(447\) | −40.0000 | −1.89194 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −13.8564 | − | 8.00000i | −0.653924 | − | 0.377543i | 0.136034 | − | 0.990704i | \(-0.456564\pi\) |
−0.789958 | + | 0.613161i | \(0.789898\pi\) | |||||||
\(450\) | −3.00000 | + | 4.00000i | −0.141421 | + | 0.188562i | ||||
\(451\) | −8.00000 | + | 13.8564i | −0.376705 | + | 0.652473i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −18.0000 | − | 31.1769i | −0.845714 | − | 1.46482i | ||||
\(454\) | 4.00000 | 0.187729 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 36.0000 | 1.68585 | ||||||||
\(457\) | 15.0000 | + | 25.9808i | 0.701670 | + | 1.21533i | 0.967880 | + | 0.251414i | \(0.0808954\pi\) |
−0.266209 | + | 0.963915i | \(0.585771\pi\) | |||||||
\(458\) | −10.3923 | + | 6.00000i | −0.485601 | + | 0.280362i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 12.0000 | − | 6.00000i | 0.559503 | − | 0.279751i | ||||
\(461\) | −3.46410 | − | 2.00000i | −0.161339 | − | 0.0931493i | 0.417156 | − | 0.908835i | \(-0.363027\pi\) |
−0.578496 | + | 0.815685i | \(0.696360\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −24.0000 | −1.11537 | −0.557687 | − | 0.830051i | \(-0.688311\pi\) | ||||
−0.557687 | + | 0.830051i | \(0.688311\pi\) | |||||||
\(464\) | 3.00000 | − | 5.19615i | 0.139272 | − | 0.241225i | ||||
\(465\) | 14.7846 | − | 22.3923i | 0.685620 | − | 1.03842i | ||||
\(466\) | −20.7846 | + | 12.0000i | −0.962828 | + | 0.555889i | ||||
\(467\) | − | 18.0000i | − | 0.832941i | −0.909149 | − | 0.416470i | \(-0.863267\pi\) | ||
0.909149 | − | 0.416470i | \(-0.136733\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −9.85641 | + | 14.9282i | −0.454642 | + | 0.688587i | ||||
\(471\) | 12.0000 | + | 20.7846i | 0.552931 | + | 0.957704i | ||||
\(472\) | 5.19615 | + | 3.00000i | 0.239172 | + | 0.138086i | ||||
\(473\) | 12.0000 | 0.551761 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 27.5885 | − | 11.7846i | 1.26585 | − | 0.540715i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 10.3923 | + | 6.00000i | 0.475831 | + | 0.274721i | ||||
\(478\) | −8.66025 | + | 5.00000i | −0.396111 | + | 0.228695i | ||||
\(479\) | −19.0526 | + | 11.0000i | −0.870534 | + | 0.502603i | −0.867526 | − | 0.497393i | \(-0.834291\pi\) |
−0.00300810 | + | 0.999995i | \(0.500958\pi\) | |||||||
\(480\) | 20.0000 | − | 10.0000i | 0.912871 | − | 0.456435i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 3.50000 | + | 6.06218i | 0.159091 | + | 0.275554i | ||||
\(485\) | −13.3923 | − | 0.803848i | −0.608113 | − | 0.0365008i | ||||
\(486\) | − | 10.0000i | − | 0.453609i | ||||||
\(487\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(488\) | −9.00000 | + | 15.5885i | −0.407411 | + | 0.705656i | ||||
\(489\) | − | 24.0000i | − | 1.08532i | ||||||
\(490\) | 15.6244 | + | 0.937822i | 0.705836 | + | 0.0423665i | ||||
\(491\) | −6.00000 | − | 10.3923i | −0.270776 | − | 0.468998i | 0.698285 | − | 0.715820i | \(-0.253947\pi\) |
−0.969061 | + | 0.246822i | \(0.920614\pi\) | |||||||
\(492\) | 8.00000 | + | 13.8564i | 0.360668 | + | 0.624695i | ||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 4.00000 | − | 2.00000i | 0.179787 | − | 0.0898933i | ||||
\(496\) | 5.19615 | − | 3.00000i | 0.233314 | − | 0.134704i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 6.92820 | + | 4.00000i | 0.310460 | + | 0.179244i | ||||
\(499\) | 6.00000i | 0.268597i | 0.990941 | + | 0.134298i | \(0.0428781\pi\) | ||||
−0.990941 | + | 0.134298i | \(0.957122\pi\) | |||||||
\(500\) | 7.23205 | − | 8.52628i | 0.323427 | − | 0.381307i | ||||
\(501\) | −27.7128 | − | 16.0000i | −1.23812 | − | 0.714827i | ||||
\(502\) | −12.0000 | −0.535586 | ||||||||
\(503\) | 5.19615 | + | 3.00000i | 0.231685 | + | 0.133763i | 0.611349 | − | 0.791361i | \(-0.290627\pi\) |
−0.379664 | + | 0.925124i | \(0.623960\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −7.39230 | + | 11.1962i | −0.328953 | + | 0.498222i | ||||
\(506\) | 12.0000 | 0.533465 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | − | 2.00000i | − | 0.0887357i | ||||||
\(509\) | 17.3205 | − | 10.0000i | 0.767718 | − | 0.443242i | −0.0643419 | − | 0.997928i | \(-0.520495\pi\) |
0.832060 | + | 0.554686i | \(0.187161\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 11.0000 | 0.486136 | ||||||||
\(513\) | −12.0000 | + | 20.7846i | −0.529813 | + | 0.917663i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −12.0000 | + | 6.00000i | −0.528783 | + | 0.264392i | ||||
\(516\) | 6.00000 | − | 10.3923i | 0.264135 | − | 0.457496i | ||||
\(517\) | 13.8564 | − | 8.00000i | 0.609404 | − | 0.351840i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −24.0000 | −1.05348 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −30.0000 | −1.31432 | −0.657162 | − | 0.753749i | \(-0.728243\pi\) | ||||
−0.657162 | + | 0.753749i | \(0.728243\pi\) | |||||||
\(522\) | −3.00000 | − | 5.19615i | −0.131306 | − | 0.227429i | ||||
\(523\) | −36.3731 | + | 21.0000i | −1.59048 | + | 0.918266i | −0.597259 | + | 0.802048i | \(0.703744\pi\) |
−0.993224 | + | 0.116218i | \(0.962923\pi\) | |||||||
\(524\) | −6.00000 | + | 10.3923i | −0.262111 | + | 0.453990i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −5.19615 | − | 3.00000i | −0.226563 | − | 0.130806i | ||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 4.00000 | 0.174078 | ||||||||
\(529\) | 6.50000 | − | 11.2583i | 0.282609 | − | 0.489493i | ||||
\(530\) | 22.3923 | + | 14.7846i | 0.972660 | + | 0.642202i | ||||
\(531\) | 1.73205 | − | 1.00000i | 0.0751646 | − | 0.0433963i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | −16.0000 | −0.692388 | ||||||||
\(535\) | −11.1962 | − | 7.39230i | −0.484052 | − | 0.319597i | ||||
\(536\) | −18.0000 | − | 31.1769i | −0.777482 | − | 1.34664i | ||||
\(537\) | −20.7846 | − | 12.0000i | −0.896922 | − | 0.517838i | ||||
\(538\) | 18.0000 | 0.776035 | ||||||||
\(539\) | −12.1244 | − | 7.00000i | −0.522233 | − | 0.301511i | ||||
\(540\) | −0.535898 | + | 8.92820i | −0.0230614 | + | 0.384209i | ||||
\(541\) | − | 12.0000i | − | 0.515920i | −0.966156 | − | 0.257960i | \(-0.916950\pi\) | ||
0.966156 | − | 0.257960i | \(-0.0830503\pi\) | |||||||
\(542\) | −5.19615 | − | 3.00000i | −0.223194 | − | 0.128861i | ||||
\(543\) | 3.46410 | − | 2.00000i | 0.148659 | − | 0.0858282i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −24.0000 | + | 12.0000i | −1.02805 | + | 0.514024i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 18.0000i | − | 0.769624i | −0.922995 | − | 0.384812i | \(-0.874266\pi\) | ||
0.922995 | − | 0.384812i | \(-0.125734\pi\) | |||||||
\(548\) | 1.00000 | + | 1.73205i | 0.0427179 | + | 0.0739895i | ||||
\(549\) | 3.00000 | + | 5.19615i | 0.128037 | + | 0.221766i | ||||
\(550\) | 9.19615 | − | 3.92820i | 0.392125 | − | 0.167499i | ||||
\(551\) | 36.0000i | 1.53365i | ||||||||
\(552\) | 18.0000 | − | 31.1769i | 0.766131 | − | 1.32698i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | − | 12.0000i | − | 0.509831i | ||||||
\(555\) | 1.60770 | − | 26.7846i | 0.0682429 | − | 1.13694i | ||||
\(556\) | −2.00000 | − | 3.46410i | −0.0848189 | − | 0.146911i | ||||
\(557\) | −7.00000 | − | 12.1244i | −0.296600 | − | 0.513725i | 0.678756 | − | 0.734364i | \(-0.262519\pi\) |
−0.975356 | + | 0.220638i | \(0.929186\pi\) | |||||||
\(558\) | − | 6.00000i | − | 0.254000i | ||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 6.92820 | − | 4.00000i | 0.292249 | − | 0.168730i | ||||
\(563\) | −25.9808 | − | 15.0000i | −1.09496 | − | 0.632175i | −0.160066 | − | 0.987106i | \(-0.551171\pi\) |
−0.934892 | + | 0.354932i | \(0.884504\pi\) | |||||||
\(564\) | − | 16.0000i | − | 0.673722i | ||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 19.0526 | + | 11.0000i | 0.800839 | + | 0.462364i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −5.19615 | − | 3.00000i | −0.218026 | − | 0.125877i | ||||
\(569\) | −9.00000 | − | 15.5885i | −0.377300 | − | 0.653502i | 0.613369 | − | 0.789797i | \(-0.289814\pi\) |
−0.990668 | + | 0.136295i | \(0.956481\pi\) | |||||||
\(570\) | 14.7846 | − | 22.3923i | 0.619259 | − | 0.937910i | ||||
\(571\) | 12.0000 | 0.502184 | 0.251092 | − | 0.967963i | \(-0.419210\pi\) | ||||
0.251092 | + | 0.967963i | \(0.419210\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 3.58846 | − | 29.7846i | 0.149649 | − | 1.24210i | ||||
\(576\) | 3.50000 | − | 6.06218i | 0.145833 | − | 0.252591i | ||||
\(577\) | 18.0000 | 0.749350 | 0.374675 | − | 0.927156i | \(-0.377754\pi\) | ||||
0.374675 | + | 0.927156i | \(0.377754\pi\) | |||||||
\(578\) | 8.50000 | − | 14.7224i | 0.353553 | − | 0.612372i | ||||
\(579\) | −10.3923 | − | 6.00000i | −0.431889 | − | 0.249351i | ||||
\(580\) | 6.00000 | + | 12.0000i | 0.249136 | + | 0.498273i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −10.3923 | + | 6.00000i | −0.430775 | + | 0.248708i | ||||
\(583\) | −12.0000 | − | 20.7846i | −0.496989 | − | 0.860811i | ||||
\(584\) | −18.0000 | −0.744845 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 26.0000 | 1.07405 | ||||||||
\(587\) | −10.0000 | − | 17.3205i | −0.412744 | − | 0.714894i | 0.582445 | − | 0.812870i | \(-0.302096\pi\) |
−0.995189 | + | 0.0979766i | \(0.968763\pi\) | |||||||
\(588\) | −12.1244 | + | 7.00000i | −0.500000 | + | 0.288675i | ||||
\(589\) | −18.0000 | + | 31.1769i | −0.741677 | + | 1.28462i | ||||
\(590\) | 4.00000 | − | 2.00000i | 0.164677 | − | 0.0823387i | ||||
\(591\) | −3.46410 | − | 2.00000i | −0.142494 | − | 0.0822690i | ||||
\(592\) | 3.00000 | − | 5.19615i | 0.123299 | − | 0.213561i | ||||
\(593\) | −22.0000 | −0.903432 | −0.451716 | − | 0.892162i | \(-0.649188\pi\) | ||||
−0.451716 | + | 0.892162i | \(0.649188\pi\) | |||||||
\(594\) | −4.00000 | + | 6.92820i | −0.164122 | + | 0.284268i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 17.3205 | − | 10.0000i | 0.709476 | − | 0.409616i | ||||
\(597\) | 48.0000i | 1.96451i | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 24.0000 | 0.980613 | 0.490307 | − | 0.871550i | \(-0.336885\pi\) | ||||
0.490307 | + | 0.871550i | \(0.336885\pi\) | |||||||
\(600\) | 3.58846 | − | 29.7846i | 0.146498 | − | 1.21595i | ||||
\(601\) | 3.00000 | + | 5.19615i | 0.122373 | + | 0.211955i | 0.920703 | − | 0.390264i | \(-0.127616\pi\) |
−0.798330 | + | 0.602220i | \(0.794283\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −12.0000 | −0.488678 | ||||||||
\(604\) | 15.5885 | + | 9.00000i | 0.634285 | + | 0.366205i | ||||
\(605\) | 15.6244 | + | 0.937822i | 0.635220 | + | 0.0381279i | ||||
\(606\) | 12.0000i | 0.487467i | ||||||||
\(607\) | −15.5885 | − | 9.00000i | −0.632716 | − | 0.365299i | 0.149087 | − | 0.988824i | \(-0.452366\pi\) |
−0.781803 | + | 0.623525i | \(0.785700\pi\) | |||||||
\(608\) | −25.9808 | + | 15.0000i | −1.05366 | + | 0.608330i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 6.00000 | + | 12.0000i | 0.242933 | + | 0.485866i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −15.0000 | − | 25.9808i | −0.605844 | − | 1.04935i | −0.991917 | − | 0.126885i | \(-0.959502\pi\) |
0.386073 | − | 0.922468i | \(-0.373831\pi\) | |||||||
\(614\) | 6.00000 | + | 10.3923i | 0.242140 | + | 0.419399i | ||||
\(615\) | 35.7128 | + | 2.14359i | 1.44008 | + | 0.0864380i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −17.0000 | + | 29.4449i | −0.684394 | + | 1.18541i | 0.289233 | + | 0.957259i | \(0.406600\pi\) |
−0.973627 | + | 0.228147i | \(0.926733\pi\) | |||||||
\(618\) | −6.00000 | + | 10.3923i | −0.241355 | + | 0.418040i | ||||
\(619\) | − | 18.0000i | − | 0.723481i | −0.932279 | − | 0.361741i | \(-0.882183\pi\) | ||
0.932279 | − | 0.361741i | \(-0.117817\pi\) | |||||||
\(620\) | −0.803848 | + | 13.3923i | −0.0322833 | + | 0.537848i | ||||
\(621\) | 12.0000 | + | 20.7846i | 0.481543 | + | 0.834058i | ||||
\(622\) | 12.0000 | + | 20.7846i | 0.481156 | + | 0.833387i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −7.00000 | − | 24.0000i | −0.280000 | − | 0.960000i | ||||
\(626\) | 6.92820 | − | 4.00000i | 0.276907 | − | 0.159872i | ||||
\(627\) | −20.7846 | + | 12.0000i | −0.830057 | + | 0.479234i | ||||
\(628\) | −10.3923 | − | 6.00000i | −0.414698 | − | 0.239426i | ||||
\(629\) | 0 | 0 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 25.9808 | + | 15.0000i | 1.03428 | + | 0.597141i | 0.918207 | − | 0.396100i | \(-0.129637\pi\) |
0.116071 | + | 0.993241i | \(0.462970\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −20.7846 | − | 12.0000i | −0.826114 | − | 0.476957i | ||||
\(634\) | −1.00000 | − | 1.73205i | −0.0397151 | − | 0.0687885i | ||||
\(635\) | −3.73205 | − | 2.46410i | −0.148102 | − | 0.0977849i | ||||
\(636\) | −24.0000 | −0.951662 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 12.0000i | 0.475085i | ||||||||
\(639\) | −1.73205 | + | 1.00000i | −0.0685189 | + | 0.0395594i | ||||
\(640\) | −3.69615 | + | 5.59808i | −0.146103 | + | 0.221283i | ||||
\(641\) | 15.0000 | − | 25.9808i | 0.592464 | − | 1.02618i | −0.401435 | − | 0.915888i | \(-0.631488\pi\) |
0.993899 | − | 0.110291i | \(-0.0351782\pi\) | |||||||
\(642\) | −12.0000 | −0.473602 | ||||||||
\(643\) | 18.0000 | − | 31.1769i | 0.709851 | − | 1.22950i | −0.255062 | − | 0.966925i | \(-0.582096\pi\) |
0.964912 | − | 0.262573i | \(-0.0845709\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −12.0000 | − | 24.0000i | −0.472500 | − | 0.944999i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −5.19615 | + | 3.00000i | −0.204282 | + | 0.117942i | −0.598651 | − | 0.801010i | \(-0.704296\pi\) |
0.394369 | + | 0.918952i | \(0.370963\pi\) | |||||||
\(648\) | 16.5000 | + | 28.5788i | 0.648181 | + | 1.12268i | ||||
\(649\) | −4.00000 | −0.157014 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 6.00000 | + | 10.3923i | 0.234978 | + | 0.406994i | ||||
\(653\) | 31.1769 | − | 18.0000i | 1.22005 | − | 0.704394i | 0.255119 | − | 0.966910i | \(-0.417885\pi\) |
0.964928 | + | 0.262515i | \(0.0845520\pi\) | |||||||
\(654\) | −12.0000 | + | 20.7846i | −0.469237 | + | 0.812743i | ||||
\(655\) | 12.0000 | + | 24.0000i | 0.468879 | + | 0.937758i | ||||
\(656\) | 6.92820 | + | 4.00000i | 0.270501 | + | 0.156174i | ||||
\(657\) | −3.00000 | + | 5.19615i | −0.117041 | + | 0.202721i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −18.0000 | + | 31.1769i | −0.701180 | + | 1.21448i | 0.266872 | + | 0.963732i | \(0.414010\pi\) |
−0.968052 | + | 0.250748i | \(0.919323\pi\) | |||||||
\(660\) | −4.92820 | + | 7.46410i | −0.191830 | + | 0.290540i | ||||
\(661\) | 10.3923 | − | 6.00000i | 0.404214 | − | 0.233373i | −0.284087 | − | 0.958799i | \(-0.591690\pi\) |
0.688301 | + | 0.725426i | \(0.258357\pi\) | |||||||
\(662\) | − | 30.0000i | − | 1.16598i | ||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −12.0000 | −0.465690 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −3.00000 | − | 5.19615i | −0.116248 | − | 0.201347i | ||||
\(667\) | 31.1769 | + | 18.0000i | 1.20717 | + | 0.696963i | ||||
\(668\) | 16.0000 | 0.619059 | ||||||||
\(669\) | 41.5692 | + | 24.0000i | 1.60716 | + | 0.927894i | ||||
\(670\) | −26.7846 | − | 1.60770i | −1.03478 | − | 0.0621107i | ||||
\(671\) | − | 12.0000i | − | 0.463255i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −41.5692 | + | 24.0000i | −1.60238 | + | 0.925132i | −0.611365 | + | 0.791349i | \(0.709379\pi\) |
−0.991011 | + | 0.133783i | \(0.957287\pi\) | |||||||
\(674\) | 27.7128 | − | 16.0000i | 1.06746 | − | 0.616297i | ||||
\(675\) | 16.0000 | + | 12.0000i | 0.615840 | + | 0.461880i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | − | 36.0000i | − | 1.38359i | −0.722093 | − | 0.691796i | \(-0.756820\pi\) | ||
0.722093 | − | 0.691796i | \(-0.243180\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 8.00000i | 0.306561i | ||||||||
\(682\) | −6.00000 | + | 10.3923i | −0.229752 | + | 0.397942i | ||||
\(683\) | 22.0000 | − | 38.1051i | 0.841807 | − | 1.45805i | −0.0465592 | − | 0.998916i | \(-0.514826\pi\) |
0.888366 | − | 0.459136i | \(-0.151841\pi\) | |||||||
\(684\) | 6.00000i | 0.229416i | ||||||||
\(685\) | 4.46410 | + | 0.267949i | 0.170565 | + | 0.0102378i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −12.0000 | − | 20.7846i | −0.457829 | − | 0.792982i | ||||
\(688\) | − | 6.00000i | − | 0.228748i | ||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −12.0000 | − | 24.0000i | −0.456832 | − | 0.913664i | ||||
\(691\) | −36.3731 | + | 21.0000i | −1.38370 | + | 0.798878i | −0.992595 | − | 0.121470i | \(-0.961239\pi\) |
−0.391102 | + | 0.920348i | \(0.627906\pi\) | |||||||
\(692\) | 10.3923 | − | 6.00000i | 0.395056 | − | 0.228086i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 6.00000i | − | 0.227757i | ||||||
\(695\) | −8.92820 | − | 0.535898i | −0.338666 | − | 0.0203278i | ||||
\(696\) | 31.1769 | + | 18.0000i | 1.18176 | + | 0.682288i | ||||
\(697\) | 0 | 0 | ||||||||
\(698\) | −10.3923 | − | 6.00000i | −0.393355 | − | 0.227103i | ||||
\(699\) | −24.0000 | − | 41.5692i | −0.907763 | − | 1.57229i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 30.0000 | 1.13308 | 0.566542 | − | 0.824033i | \(-0.308281\pi\) | ||||
0.566542 | + | 0.824033i | \(0.308281\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 36.0000i | 1.35777i | ||||||||
\(704\) | −12.1244 | + | 7.00000i | −0.456954 | + | 0.263822i | ||||
\(705\) | −29.8564 | − | 19.7128i | −1.12446 | − | 0.742427i | ||||
\(706\) | −7.00000 | + | 12.1244i | −0.263448 | + | 0.456306i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −2.00000 | + | 3.46410i | −0.0751646 | + | 0.130189i | ||||
\(709\) | −10.3923 | − | 6.00000i | −0.390291 | − | 0.225335i | 0.291995 | − | 0.956420i | \(-0.405681\pi\) |
−0.682286 | + | 0.731085i | \(0.739014\pi\) | |||||||
\(710\) | −4.00000 | + | 2.00000i | −0.150117 | + | 0.0750587i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 20.7846 | − | 12.0000i | 0.778936 | − | 0.449719i | ||||
\(713\) | 18.0000 | + | 31.1769i | 0.674105 | + | 1.16758i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 12.0000 | 0.448461 | ||||||||
\(717\) | −10.0000 | − | 17.3205i | −0.373457 | − | 0.646846i | ||||
\(718\) | −1.73205 | + | 1.00000i | −0.0646396 | + | 0.0373197i | ||||
\(719\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(720\) | −1.00000 | − | 2.00000i | −0.0372678 | − | 0.0745356i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −8.50000 | + | 14.7224i | −0.316337 | + | 0.547912i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −1.00000 | + | 1.73205i | −0.0371647 | + | 0.0643712i | ||||
\(725\) | 29.7846 | + | 3.58846i | 1.10617 | + | 0.133272i | ||||
\(726\) | 12.1244 | − | 7.00000i | 0.449977 | − | 0.259794i | ||||
\(727\) | 26.0000i | 0.964287i | 0.876092 | + | 0.482143i | \(0.160142\pi\) | ||||
−0.876092 | + | 0.482143i | \(0.839858\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −13.0000 | −0.481481 | ||||||||
\(730\) | −7.39230 | + | 11.1962i | −0.273601 | + | 0.414388i | ||||
\(731\) | 0 | 0 | ||||||||
\(732\) | −10.3923 | − | 6.00000i | −0.384111 | − | 0.221766i | ||||
\(733\) | −42.0000 | −1.55131 | −0.775653 | − | 0.631160i | \(-0.782579\pi\) | ||||
−0.775653 | + | 0.631160i | \(0.782579\pi\) | |||||||
\(734\) | 15.5885 | + | 9.00000i | 0.575380 | + | 0.332196i | ||||
\(735\) | −1.87564 | + | 31.2487i | −0.0691842 | + | 1.15263i | ||||
\(736\) | 30.0000i | 1.10581i | ||||||||
\(737\) | 20.7846 | + | 12.0000i | 0.765611 | + | 0.442026i | ||||
\(738\) | 6.92820 | − | 4.00000i | 0.255031 | − | 0.147242i | ||||
\(739\) | 5.19615 | − | 3.00000i | 0.191144 | − | 0.110357i | −0.401374 | − | 0.915914i | \(-0.631467\pi\) |
0.592518 | + | 0.805557i | \(0.298134\pi\) | |||||||
\(740\) | 6.00000 | + | 12.0000i | 0.220564 | + | 0.441129i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 8.00000 | + | 13.8564i | 0.293492 | + | 0.508342i | 0.974633 | − | 0.223810i | \(-0.0718494\pi\) |
−0.681141 | + | 0.732152i | \(0.738516\pi\) | |||||||
\(744\) | 18.0000 | + | 31.1769i | 0.659912 | + | 1.14300i | ||||
\(745\) | 2.67949 | − | 44.6410i | 0.0981690 | − | 1.63552i | ||||
\(746\) | 4.00000i | 0.146450i | ||||||||
\(747\) | −2.00000 | + | 3.46410i | −0.0731762 | + | 0.126745i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −17.0526 | − | 14.4641i | −0.622671 | − | 0.528154i | ||||
\(751\) | 16.0000 | + | 27.7128i | 0.583848 | + | 1.01125i | 0.995018 | + | 0.0996961i | \(0.0317870\pi\) |
−0.411170 | + | 0.911559i | \(0.634880\pi\) | |||||||
\(752\) | −4.00000 | − | 6.92820i | −0.145865 | − | 0.252646i | ||||
\(753\) | − | 24.0000i | − | 0.874609i | ||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 36.0000 | − | 18.0000i | 1.31017 | − | 0.655087i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −17.3205 | + | 10.0000i | −0.629525 | + | 0.363456i | −0.780568 | − | 0.625071i | \(-0.785070\pi\) |
0.151043 | + | 0.988527i | \(0.451737\pi\) | |||||||
\(758\) | −15.5885 | − | 9.00000i | −0.566198 | − | 0.326895i | ||||
\(759\) | 24.0000i | 0.871145i | ||||||||
\(760\) | −2.41154 | + | 40.1769i | −0.0874758 | + | 1.45737i | ||||
\(761\) | −34.6410 | − | 20.0000i | −1.25574 | − | 0.724999i | −0.283493 | − | 0.958974i | \(-0.591493\pi\) |
−0.972243 | + | 0.233975i | \(0.924827\pi\) | |||||||
\(762\) | −4.00000 | −0.144905 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −8.00000 | −0.289052 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 34.0000i | 1.22687i | ||||||||
\(769\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 6.00000 | 0.215945 | ||||||||
\(773\) | −19.0000 | + | 32.9090i | −0.683383 | + | 1.18365i | 0.290560 | + | 0.956857i | \(0.406159\pi\) |
−0.973942 | + | 0.226796i | \(0.927175\pi\) | |||||||
\(774\) | −5.19615 | − | 3.00000i | −0.186772 | − | 0.107833i | ||||
\(775\) | 24.0000 | + | 18.0000i | 0.862105 | + | 0.646579i | ||||
\(776\) | 9.00000 | − | 15.5885i | 0.323081 | − | 0.559593i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 3.00000 | + | 5.19615i | 0.107555 | + | 0.186291i | ||||
\(779\) | −48.0000 | −1.71978 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 4.00000 | 0.143131 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −20.7846 | + | 12.0000i | −0.742781 | + | 0.428845i | ||||
\(784\) | −3.50000 | + | 6.06218i | −0.125000 | + | 0.216506i | ||||
\(785\) | −24.0000 | + | 12.0000i | −0.856597 | + | 0.428298i | ||||
\(786\) | 20.7846 | + | 12.0000i | 0.741362 | + | 0.428026i | ||||
\(787\) | −6.00000 | + | 10.3923i | −0.213877 | + | 0.370446i | −0.952925 | − | 0.303207i | \(-0.901942\pi\) |
0.739048 | + | 0.673653i | \(0.235276\pi\) | |||||||
\(788\) | 2.00000 | 0.0712470 | ||||||||
\(789\) | 6.00000 | − | 10.3923i | 0.213606 | − | 0.369976i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 6.00000i | 0.213201i | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 18.0000 | 0.638796 | ||||||||
\(795\) | −29.5692 | + | 44.7846i | −1.04871 | + | 1.58835i | ||||
\(796\) | −12.0000 | − | 20.7846i | −0.425329 | − | 0.736691i | ||||
\(797\) | 10.3923 | + | 6.00000i | 0.368114 | + | 0.212531i | 0.672634 | − | 0.739975i | \(-0.265163\pi\) |
−0.304520 | + | 0.952506i | \(0.598496\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 9.82051 | + | 22.9904i | 0.347207 | + | 0.812833i | ||||
\(801\) | − | 8.00000i | − | 0.282666i | ||||||
\(802\) | −13.8564 | − | 8.00000i | −0.489287 | − | 0.282490i | ||||
\(803\) | 10.3923 | − | 6.00000i | 0.366736 | − | 0.211735i | ||||
\(804\) | 20.7846 | − | 12.0000i | 0.733017 | − | 0.423207i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 36.0000i | 1.26726i | ||||||||
\(808\) | −9.00000 | − | 15.5885i | −0.316619 | − | 0.548400i | ||||
\(809\) | 15.0000 | + | 25.9808i | 0.527372 | + | 0.913435i | 0.999491 | + | 0.0319002i | \(0.0101559\pi\) |
−0.472119 | + | 0.881535i | \(0.656511\pi\) | |||||||
\(810\) | 24.5526 | + | 1.47372i | 0.862689 | + | 0.0517813i | ||||
\(811\) | 30.0000i | 1.05344i | 0.850038 | + | 0.526721i | \(0.176579\pi\) | ||||
−0.850038 | + | 0.526721i | \(0.823421\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 6.00000 | − | 10.3923i | 0.210429 | − | 0.364474i | ||||
\(814\) | 12.0000i | 0.420600i | ||||||||
\(815\) | 26.7846 | + | 1.60770i | 0.938224 | + | 0.0563151i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 18.0000 | + | 31.1769i | 0.629740 | + | 1.09074i | ||||
\(818\) | − | 24.0000i | − | 0.839140i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −16.0000 | + | 8.00000i | −0.558744 | + | 0.279372i | ||||
\(821\) | −17.3205 | + | 10.0000i | −0.604490 | + | 0.349002i | −0.770806 | − | 0.637070i | \(-0.780146\pi\) |
0.166316 | + | 0.986073i | \(0.446813\pi\) | |||||||
\(822\) | 3.46410 | − | 2.00000i | 0.120824 | − | 0.0697580i | ||||
\(823\) | −36.3731 | − | 21.0000i | −1.26789 | − | 0.732014i | −0.293298 | − | 0.956021i | \(-0.594753\pi\) |
−0.974588 | + | 0.224007i | \(0.928086\pi\) | |||||||
\(824\) | − | 18.0000i | − | 0.627060i | ||||||
\(825\) | 7.85641 | + | 18.3923i | 0.273525 | + | 0.640338i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 4.00000 | 0.139094 | 0.0695468 | − | 0.997579i | \(-0.477845\pi\) | ||||
0.0695468 | + | 0.997579i | \(0.477845\pi\) | |||||||
\(828\) | 5.19615 | + | 3.00000i | 0.180579 | + | 0.104257i | ||||
\(829\) | −3.00000 | − | 5.19615i | −0.104194 | − | 0.180470i | 0.809214 | − | 0.587513i | \(-0.199893\pi\) |
−0.913409 | + | 0.407044i | \(0.866560\pi\) | |||||||
\(830\) | −4.92820 | + | 7.46410i | −0.171060 | + | 0.259083i | ||||
\(831\) | 24.0000 | 0.832551 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −6.92820 | + | 4.00000i | −0.239904 | + | 0.138509i | ||||
\(835\) | 19.7128 | − | 29.8564i | 0.682190 | − | 1.03322i | ||||
\(836\) | 6.00000 | − | 10.3923i | 0.207514 | − | 0.359425i | ||||
\(837\) | −24.0000 | −0.829561 | ||||||||
\(838\) | −6.00000 | + | 10.3923i | −0.207267 | + | 0.358996i | ||||
\(839\) | 39.8372 | + | 23.0000i | 1.37533 | + | 0.794048i | 0.991593 | − | 0.129394i | \(-0.0413031\pi\) |
0.383738 | + | 0.923442i | \(0.374636\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −3.50000 | + | 6.06218i | −0.120690 | + | 0.209041i | ||||
\(842\) | 31.1769 | − | 18.0000i | 1.07443 | − | 0.620321i | ||||
\(843\) | 8.00000 | + | 13.8564i | 0.275535 | + | 0.477240i | ||||
\(844\) | 12.0000 | 0.413057 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −8.00000 | −0.275046 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −10.3923 | + | 6.00000i | −0.356873 | + | 0.206041i | ||||
\(849\) | −22.0000 | + | 38.1051i | −0.755038 | + | 1.30776i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 31.1769 | + | 18.0000i | 1.06873 | + | 0.617032i | ||||
\(852\) | 2.00000 | − | 3.46410i | 0.0685189 | − | 0.118678i | ||||
\(853\) | 54.0000 | 1.84892 | 0.924462 | − | 0.381273i | \(-0.124514\pi\) | ||||
0.924462 | + | 0.381273i | \(0.124514\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 11.1962 | + | 7.39230i | 0.382900 | + | 0.252811i | ||||
\(856\) | 15.5885 | − | 9.00000i | 0.532803 | − | 0.307614i | ||||
\(857\) | − | 24.0000i | − | 0.819824i | −0.912125 | − | 0.409912i | \(-0.865559\pi\) | ||
0.912125 | − | 0.409912i | \(-0.134441\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −36.0000 | −1.22830 | −0.614152 | − | 0.789188i | \(-0.710502\pi\) | ||||
−0.614152 | + | 0.789188i | \(0.710502\pi\) | |||||||
\(860\) | 11.1962 | + | 7.39230i | 0.381786 | + | 0.252076i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 8.66025 | + | 5.00000i | 0.294969 | + | 0.170301i | ||||
\(863\) | −8.00000 | −0.272323 | −0.136162 | − | 0.990687i | \(-0.543477\pi\) | ||||
−0.136162 | + | 0.990687i | \(0.543477\pi\) | |||||||
\(864\) | −17.3205 | − | 10.0000i | −0.589256 | − | 0.340207i | ||||
\(865\) | 1.60770 | − | 26.7846i | 0.0546633 | − | 0.910704i | ||||
\(866\) | 16.0000i | 0.543702i | ||||||||
\(867\) | 29.4449 | + | 17.0000i | 1.00000 | + | 0.577350i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 24.0000 | − | 12.0000i | 0.813676 | − | 0.406838i | ||||
\(871\) | 0 | 0 | ||||||||
\(872\) | − | 36.0000i | − | 1.21911i | ||||||
\(873\) | −3.00000 | − | 5.19615i | −0.101535 | − | 0.175863i | ||||
\(874\) | 18.0000 | + | 31.1769i | 0.608859 | + | 1.05457i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | − | 12.0000i | − | 0.405442i | ||||||
\(877\) | −3.00000 | + | 5.19615i | −0.101303 | + | 0.175462i | −0.912222 | − | 0.409697i | \(-0.865634\pi\) |
0.810919 | + | 0.585159i | \(0.198968\pi\) | |||||||
\(878\) | 4.00000 | − | 6.92820i | 0.134993 | − | 0.233816i | ||||
\(879\) | 52.0000i | 1.75392i | ||||||||
\(880\) | −0.267949 | + | 4.46410i | −0.00903257 | + | 0.150485i | ||||
\(881\) | −21.0000 | − | 36.3731i | −0.707508 | − | 1.22544i | −0.965779 | − | 0.259367i | \(-0.916486\pi\) |
0.258271 | − | 0.966073i | \(-0.416847\pi\) | |||||||
\(882\) | 3.50000 | + | 6.06218i | 0.117851 | + | 0.204124i | ||||
\(883\) | − | 2.00000i | − | 0.0673054i | −0.999434 | − | 0.0336527i | \(-0.989286\pi\) | ||
0.999434 | − | 0.0336527i | \(-0.0107140\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 4.00000 | + | 8.00000i | 0.134459 | + | 0.268917i | ||||
\(886\) | −5.19615 | + | 3.00000i | −0.174568 | + | 0.100787i | ||||
\(887\) | 36.3731 | − | 21.0000i | 1.22129 | − | 0.705111i | 0.256096 | − | 0.966651i | \(-0.417564\pi\) |
0.965193 | + | 0.261540i | \(0.0842305\pi\) | |||||||
\(888\) | 31.1769 | + | 18.0000i | 1.04623 | + | 0.604040i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 1.07180 | − | 17.8564i | 0.0359267 | − | 0.598548i | ||||
\(891\) | −19.0526 | − | 11.0000i | −0.638285 | − | 0.368514i | ||||
\(892\) | −24.0000 | −0.803579 | ||||||||
\(893\) | 41.5692 | + | 24.0000i | 1.39106 | + | 0.803129i | ||||
\(894\) | −20.0000 | − | 34.6410i | −0.668900 | − | 1.15857i | ||||
\(895\) | 14.7846 | − | 22.3923i | 0.494195 | − | 0.748492i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | − | 16.0000i | − | 0.533927i | ||||||
\(899\) | −31.1769 | + | 18.0000i | −1.03981 | + | 0.600334i | ||||
\(900\) | 4.96410 | + | 0.598076i | 0.165470 | + | 0.0199359i | ||||
\(901\) | 0 | 0 | ||||||||
\(902\) | −16.0000 | −0.532742 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 2.00000 | + | 4.00000i | 0.0664822 | + | 0.132964i | ||||
\(906\) | 18.0000 | − | 31.1769i | 0.598010 | − | 1.03578i | ||||
\(907\) | −8.66025 | + | 5.00000i | −0.287559 | + | 0.166022i | −0.636841 | − | 0.770996i | \(-0.719759\pi\) |
0.349281 | + | 0.937018i | \(0.386426\pi\) | |||||||
\(908\) | −2.00000 | − | 3.46410i | −0.0663723 | − | 0.114960i | ||||
\(909\) | −6.00000 | −0.199007 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −48.0000 | −1.59031 | −0.795155 | − | 0.606406i | \(-0.792611\pi\) | ||||
−0.795155 | + | 0.606406i | \(0.792611\pi\) | |||||||
\(912\) | 6.00000 | + | 10.3923i | 0.198680 | + | 0.344124i | ||||
\(913\) | 6.92820 | − | 4.00000i | 0.229290 | − | 0.132381i | ||||
\(914\) | −15.0000 | + | 25.9808i | −0.496156 | + | 0.859367i | ||||
\(915\) | −24.0000 | + | 12.0000i | −0.793416 | + | 0.396708i | ||||
\(916\) | 10.3923 | + | 6.00000i | 0.343371 | + | 0.198246i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −12.0000 | + | 20.7846i | −0.395843 | + | 0.685621i | −0.993208 | − | 0.116348i | \(-0.962881\pi\) |
0.597365 | + | 0.801970i | \(0.296214\pi\) | |||||||
\(920\) | 33.5885 | + | 22.1769i | 1.10738 | + | 0.731151i | ||||
\(921\) | −20.7846 | + | 12.0000i | −0.684876 | + | 0.395413i | ||||
\(922\) | − | 4.00000i | − | 0.131733i | ||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 29.7846 | + | 3.58846i | 0.979312 | + | 0.117988i | ||||
\(926\) | −12.0000 | − | 20.7846i | −0.394344 | − | 0.683025i | ||||
\(927\) | −5.19615 | − | 3.00000i | −0.170664 | − | 0.0985329i | ||||
\(928\) | −30.0000 | −0.984798 | ||||||||
\(929\) | 13.8564 | + | 8.00000i | 0.454614 | + | 0.262471i | 0.709777 | − | 0.704427i | \(-0.248796\pi\) |
−0.255163 | + | 0.966898i | \(0.582129\pi\) | |||||||
\(930\) | 26.7846 | + | 1.60770i | 0.878302 | + | 0.0527184i | ||||
\(931\) | − | 42.0000i | − | 1.37649i | ||||||
\(932\) | 20.7846 | + | 12.0000i | 0.680823 | + | 0.393073i | ||||
\(933\) | −41.5692 | + | 24.0000i | −1.36092 | + | 0.785725i | ||||
\(934\) | 15.5885 | − | 9.00000i | 0.510070 | − | 0.294489i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 56.0000i | 1.82944i | 0.404088 | + | 0.914720i | \(0.367589\pi\) | ||||
−0.404088 | + | 0.914720i | \(0.632411\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 8.00000 | + | 13.8564i | 0.261070 | + | 0.452187i | ||||
\(940\) | 17.8564 | + | 1.07180i | 0.582412 | + | 0.0349582i | ||||
\(941\) | − | 28.0000i | − | 0.912774i | −0.889781 | − | 0.456387i | \(-0.849143\pi\) | ||
0.889781 | − | 0.456387i | \(-0.150857\pi\) | |||||||
\(942\) | −12.0000 | + | 20.7846i | −0.390981 | + | 0.677199i | ||||
\(943\) | −24.0000 | + | 41.5692i | −0.781548 | + | 1.35368i | ||||
\(944\) | 2.00000i | 0.0650945i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 6.00000 | + | 10.3923i | 0.195077 | + | 0.337883i | ||||
\(947\) | −14.0000 | − | 24.2487i | −0.454939 | − | 0.787977i | 0.543746 | − | 0.839250i | \(-0.317006\pi\) |
−0.998685 | + | 0.0512727i | \(0.983672\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 24.0000 | + | 18.0000i | 0.778663 | + | 0.583997i | ||||
\(951\) | 3.46410 | − | 2.00000i | 0.112331 | − | 0.0648544i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 20.7846 | + | 12.0000i | 0.673280 | + | 0.388718i | 0.797318 | − | 0.603559i | \(-0.206251\pi\) |
−0.124039 | + | 0.992277i | \(0.539585\pi\) | |||||||
\(954\) | 12.0000i | 0.388514i | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 8.66025 | + | 5.00000i | 0.280093 | + | 0.161712i | ||||
\(957\) | −24.0000 | −0.775810 | ||||||||
\(958\) | −19.0526 | − | 11.0000i | −0.615560 | − | 0.355394i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 26.1244 | + | 17.2487i | 0.843160 | + | 0.556700i | ||||
\(961\) | −5.00000 | −0.161290 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | − | 6.00000i | − | 0.193347i | ||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 7.39230 | − | 11.1962i | 0.237967 | − | 0.360417i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 48.0000 | 1.54358 | 0.771788 | − | 0.635880i | \(-0.219363\pi\) | ||||
0.771788 | + | 0.635880i | \(0.219363\pi\) | |||||||
\(968\) | −10.5000 | + | 18.1865i | −0.337483 | + | 0.584537i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −6.00000 | − | 12.0000i | −0.192648 | − | 0.385297i | ||||
\(971\) | −6.00000 | + | 10.3923i | −0.192549 | + | 0.333505i | −0.946094 | − | 0.323891i | \(-0.895009\pi\) |
0.753545 | + | 0.657396i | \(0.228342\pi\) | |||||||
\(972\) | −8.66025 | + | 5.00000i | −0.277778 | + | 0.160375i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −6.00000 | −0.192055 | ||||||||
\(977\) | −17.0000 | − | 29.4449i | −0.543878 | − | 0.942025i | −0.998677 | − | 0.0514302i | \(-0.983622\pi\) |
0.454798 | − | 0.890594i | \(-0.349711\pi\) | |||||||
\(978\) | 20.7846 | − | 12.0000i | 0.664619 | − | 0.383718i | ||||
\(979\) | −8.00000 | + | 13.8564i | −0.255681 | + | 0.442853i | ||||
\(980\) | −7.00000 | − | 14.0000i | −0.223607 | − | 0.447214i | ||||
\(981\) | −10.3923 | − | 6.00000i | −0.331801 | − | 0.191565i | ||||
\(982\) | 6.00000 | − | 10.3923i | 0.191468 | − | 0.331632i | ||||
\(983\) | 16.0000 | 0.510321 | 0.255160 | − | 0.966899i | \(-0.417872\pi\) | ||||
0.255160 | + | 0.966899i | \(0.417872\pi\) | |||||||
\(984\) | −24.0000 | + | 41.5692i | −0.765092 | + | 1.32518i | ||||
\(985\) | 2.46410 | − | 3.73205i | 0.0785128 | − | 0.118913i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 36.0000 | 1.14473 | ||||||||
\(990\) | 3.73205 | + | 2.46410i | 0.118612 | + | 0.0783143i | ||||
\(991\) | 8.00000 | + | 13.8564i | 0.254128 | + | 0.440163i | 0.964658 | − | 0.263504i | \(-0.0848781\pi\) |
−0.710530 | + | 0.703667i | \(0.751545\pi\) | |||||||
\(992\) | −25.9808 | − | 15.0000i | −0.824890 | − | 0.476250i | ||||
\(993\) | 60.0000 | 1.90404 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −53.5692 | − | 3.21539i | −1.69826 | − | 0.101935i | ||||
\(996\) | − | 8.00000i | − | 0.253490i | ||||||
\(997\) | −51.9615 | − | 30.0000i | −1.64564 | − | 0.950110i | −0.978777 | − | 0.204927i | \(-0.934304\pi\) |
−0.666861 | − | 0.745182i | \(-0.732362\pi\) | |||||||
\(998\) | −5.19615 | + | 3.00000i | −0.164481 | + | 0.0949633i | ||||
\(999\) | −20.7846 | + | 12.0000i | −0.657596 | + | 0.379663i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))