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: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 39) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 484.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 507.484 |
Dual form | 507.2.e.b.22.1 |
$q$-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 \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | 0.986869 | − | 0.161521i | \(-0.0516399\pi\) |
−0.633316 | + | 0.773893i | \(0.718307\pi\) | |||||||
\(3\) | 0.500000 | + | 0.866025i | 0.288675 | + | 0.500000i | ||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | −2.00000 | −0.894427 | −0.447214 | − | 0.894427i | \(-0.647584\pi\) | ||||
−0.447214 | + | 0.894427i | \(0.647584\pi\) | |||||||
\(6\) | −0.500000 | + | 0.866025i | −0.204124 | + | 0.353553i | ||||
\(7\) | −2.00000 | + | 3.46410i | −0.755929 | + | 1.30931i | 0.188982 | + | 0.981981i | \(0.439481\pi\) |
−0.944911 | + | 0.327327i | \(0.893852\pi\) | |||||||
\(8\) | 3.00000 | 1.06066 | ||||||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | −1.00000 | − | 1.73205i | −0.316228 | − | 0.547723i | ||||
\(11\) | 2.00000 | + | 3.46410i | 0.603023 | + | 1.04447i | 0.992361 | + | 0.123371i | \(0.0393705\pi\) |
−0.389338 | + | 0.921095i | \(0.627296\pi\) | |||||||
\(12\) | 1.00000 | 0.288675 | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | −4.00000 | −1.06904 | ||||||||
\(15\) | −1.00000 | − | 1.73205i | −0.258199 | − | 0.447214i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | −1.00000 | + | 1.73205i | −0.242536 | + | 0.420084i | −0.961436 | − | 0.275029i | \(-0.911312\pi\) |
0.718900 | + | 0.695113i | \(0.244646\pi\) | |||||||
\(18\) | −1.00000 | −0.235702 | ||||||||
\(19\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(20\) | −1.00000 | + | 1.73205i | −0.223607 | + | 0.387298i | ||||
\(21\) | −4.00000 | −0.872872 | ||||||||
\(22\) | −2.00000 | + | 3.46410i | −0.426401 | + | 0.738549i | ||||
\(23\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(24\) | 1.50000 | + | 2.59808i | 0.306186 | + | 0.530330i | ||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 2.00000 | + | 3.46410i | 0.377964 | + | 0.654654i | ||||
\(29\) | 5.00000 | + | 8.66025i | 0.928477 | + | 1.60817i | 0.785872 | + | 0.618389i | \(0.212214\pi\) |
0.142605 | + | 0.989780i | \(0.454452\pi\) | |||||||
\(30\) | 1.00000 | − | 1.73205i | 0.182574 | − | 0.316228i | ||||
\(31\) | −4.00000 | −0.718421 | −0.359211 | − | 0.933257i | \(-0.616954\pi\) | ||||
−0.359211 | + | 0.933257i | \(0.616954\pi\) | |||||||
\(32\) | 2.50000 | − | 4.33013i | 0.441942 | − | 0.765466i | ||||
\(33\) | −2.00000 | + | 3.46410i | −0.348155 | + | 0.603023i | ||||
\(34\) | −2.00000 | −0.342997 | ||||||||
\(35\) | 4.00000 | − | 6.92820i | 0.676123 | − | 1.17108i | ||||
\(36\) | 0.500000 | + | 0.866025i | 0.0833333 | + | 0.144338i | ||||
\(37\) | −1.00000 | − | 1.73205i | −0.164399 | − | 0.284747i | 0.772043 | − | 0.635571i | \(-0.219235\pi\) |
−0.936442 | + | 0.350823i | \(0.885902\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −6.00000 | −0.948683 | ||||||||
\(41\) | 3.00000 | + | 5.19615i | 0.468521 | + | 0.811503i | 0.999353 | − | 0.0359748i | \(-0.0114536\pi\) |
−0.530831 | + | 0.847477i | \(0.678120\pi\) | |||||||
\(42\) | −2.00000 | − | 3.46410i | −0.308607 | − | 0.534522i | ||||
\(43\) | 6.00000 | − | 10.3923i | 0.914991 | − | 1.58481i | 0.108078 | − | 0.994142i | \(-0.465531\pi\) |
0.806914 | − | 0.590669i | \(-0.201136\pi\) | |||||||
\(44\) | 4.00000 | 0.603023 | ||||||||
\(45\) | 1.00000 | − | 1.73205i | 0.149071 | − | 0.258199i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(48\) | −0.500000 | + | 0.866025i | −0.0721688 | + | 0.125000i | ||||
\(49\) | −4.50000 | − | 7.79423i | −0.642857 | − | 1.11346i | ||||
\(50\) | −0.500000 | − | 0.866025i | −0.0707107 | − | 0.122474i | ||||
\(51\) | −2.00000 | −0.280056 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 6.00000 | 0.824163 | 0.412082 | − | 0.911147i | \(-0.364802\pi\) | ||||
0.412082 | + | 0.911147i | \(0.364802\pi\) | |||||||
\(54\) | −0.500000 | − | 0.866025i | −0.0680414 | − | 0.117851i | ||||
\(55\) | −4.00000 | − | 6.92820i | −0.539360 | − | 0.934199i | ||||
\(56\) | −6.00000 | + | 10.3923i | −0.801784 | + | 1.38873i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −5.00000 | + | 8.66025i | −0.656532 | + | 1.13715i | ||||
\(59\) | 6.00000 | − | 10.3923i | 0.781133 | − | 1.35296i | −0.150148 | − | 0.988663i | \(-0.547975\pi\) |
0.931282 | − | 0.364299i | \(-0.118692\pi\) | |||||||
\(60\) | −2.00000 | −0.258199 | ||||||||
\(61\) | 1.00000 | − | 1.73205i | 0.128037 | − | 0.221766i | −0.794879 | − | 0.606768i | \(-0.792466\pi\) |
0.922916 | + | 0.385002i | \(0.125799\pi\) | |||||||
\(62\) | −2.00000 | − | 3.46410i | −0.254000 | − | 0.439941i | ||||
\(63\) | −2.00000 | − | 3.46410i | −0.251976 | − | 0.436436i | ||||
\(64\) | 7.00000 | 0.875000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −4.00000 | −0.492366 | ||||||||
\(67\) | −4.00000 | − | 6.92820i | −0.488678 | − | 0.846415i | 0.511237 | − | 0.859440i | \(-0.329187\pi\) |
−0.999915 | + | 0.0130248i | \(0.995854\pi\) | |||||||
\(68\) | 1.00000 | + | 1.73205i | 0.121268 | + | 0.210042i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 8.00000 | 0.956183 | ||||||||
\(71\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(72\) | −1.50000 | + | 2.59808i | −0.176777 | + | 0.306186i | ||||
\(73\) | −2.00000 | −0.234082 | −0.117041 | − | 0.993127i | \(-0.537341\pi\) | ||||
−0.117041 | + | 0.993127i | \(0.537341\pi\) | |||||||
\(74\) | 1.00000 | − | 1.73205i | 0.116248 | − | 0.201347i | ||||
\(75\) | −0.500000 | − | 0.866025i | −0.0577350 | − | 0.100000i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −16.0000 | −1.82337 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.00000 | 0.900070 | 0.450035 | − | 0.893011i | \(-0.351411\pi\) | ||||
0.450035 | + | 0.893011i | \(0.351411\pi\) | |||||||
\(80\) | −1.00000 | − | 1.73205i | −0.111803 | − | 0.193649i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −3.00000 | + | 5.19615i | −0.331295 | + | 0.573819i | ||||
\(83\) | −4.00000 | −0.439057 | −0.219529 | − | 0.975606i | \(-0.570452\pi\) | ||||
−0.219529 | + | 0.975606i | \(0.570452\pi\) | |||||||
\(84\) | −2.00000 | + | 3.46410i | −0.218218 | + | 0.377964i | ||||
\(85\) | 2.00000 | − | 3.46410i | 0.216930 | − | 0.375735i | ||||
\(86\) | 12.0000 | 1.29399 | ||||||||
\(87\) | −5.00000 | + | 8.66025i | −0.536056 | + | 0.928477i | ||||
\(88\) | 6.00000 | + | 10.3923i | 0.639602 | + | 1.10782i | ||||
\(89\) | −1.00000 | − | 1.73205i | −0.106000 | − | 0.183597i | 0.808146 | − | 0.588982i | \(-0.200471\pi\) |
−0.914146 | + | 0.405385i | \(0.867138\pi\) | |||||||
\(90\) | 2.00000 | 0.210819 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −2.00000 | − | 3.46410i | −0.207390 | − | 0.359211i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 5.00000 | 0.510310 | ||||||||
\(97\) | 5.00000 | − | 8.66025i | 0.507673 | − | 0.879316i | −0.492287 | − | 0.870433i | \(-0.663839\pi\) |
0.999961 | − | 0.00888289i | \(-0.00282755\pi\) | |||||||
\(98\) | 4.50000 | − | 7.79423i | 0.454569 | − | 0.787336i | ||||
\(99\) | −4.00000 | −0.402015 | ||||||||
\(100\) | −0.500000 | + | 0.866025i | −0.0500000 | + | 0.0866025i | ||||
\(101\) | 9.00000 | + | 15.5885i | 0.895533 | + | 1.55111i | 0.833143 | + | 0.553058i | \(0.186539\pi\) |
0.0623905 | + | 0.998052i | \(0.480128\pi\) | |||||||
\(102\) | −1.00000 | − | 1.73205i | −0.0990148 | − | 0.171499i | ||||
\(103\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 8.00000 | 0.780720 | ||||||||
\(106\) | 3.00000 | + | 5.19615i | 0.291386 | + | 0.504695i | ||||
\(107\) | −6.00000 | − | 10.3923i | −0.580042 | − | 1.00466i | −0.995474 | − | 0.0950377i | \(-0.969703\pi\) |
0.415432 | − | 0.909624i | \(-0.363630\pi\) | |||||||
\(108\) | −0.500000 | + | 0.866025i | −0.0481125 | + | 0.0833333i | ||||
\(109\) | 2.00000 | 0.191565 | 0.0957826 | − | 0.995402i | \(-0.469465\pi\) | ||||
0.0957826 | + | 0.995402i | \(0.469465\pi\) | |||||||
\(110\) | 4.00000 | − | 6.92820i | 0.381385 | − | 0.660578i | ||||
\(111\) | 1.00000 | − | 1.73205i | 0.0949158 | − | 0.164399i | ||||
\(112\) | −4.00000 | −0.377964 | ||||||||
\(113\) | 3.00000 | − | 5.19615i | 0.282216 | − | 0.488813i | −0.689714 | − | 0.724082i | \(-0.742264\pi\) |
0.971930 | + | 0.235269i | \(0.0755971\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 10.0000 | 0.928477 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 12.0000 | 1.10469 | ||||||||
\(119\) | −4.00000 | − | 6.92820i | −0.366679 | − | 0.635107i | ||||
\(120\) | −3.00000 | − | 5.19615i | −0.273861 | − | 0.474342i | ||||
\(121\) | −2.50000 | + | 4.33013i | −0.227273 | + | 0.393648i | ||||
\(122\) | 2.00000 | 0.181071 | ||||||||
\(123\) | −3.00000 | + | 5.19615i | −0.270501 | + | 0.468521i | ||||
\(124\) | −2.00000 | + | 3.46410i | −0.179605 | + | 0.311086i | ||||
\(125\) | 12.0000 | 1.07331 | ||||||||
\(126\) | 2.00000 | − | 3.46410i | 0.178174 | − | 0.308607i | ||||
\(127\) | 8.00000 | + | 13.8564i | 0.709885 | + | 1.22956i | 0.964899 | + | 0.262620i | \(0.0845865\pi\) |
−0.255014 | + | 0.966937i | \(0.582080\pi\) | |||||||
\(128\) | −1.50000 | − | 2.59808i | −0.132583 | − | 0.229640i | ||||
\(129\) | 12.0000 | 1.05654 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 4.00000 | 0.349482 | 0.174741 | − | 0.984614i | \(-0.444091\pi\) | ||||
0.174741 | + | 0.984614i | \(0.444091\pi\) | |||||||
\(132\) | 2.00000 | + | 3.46410i | 0.174078 | + | 0.301511i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 4.00000 | − | 6.92820i | 0.345547 | − | 0.598506i | ||||
\(135\) | 2.00000 | 0.172133 | ||||||||
\(136\) | −3.00000 | + | 5.19615i | −0.257248 | + | 0.445566i | ||||
\(137\) | 3.00000 | − | 5.19615i | 0.256307 | − | 0.443937i | −0.708942 | − | 0.705266i | \(-0.750827\pi\) |
0.965250 | + | 0.261329i | \(0.0841608\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.00000 | + | 10.3923i | −0.508913 | + | 0.881464i | 0.491033 | + | 0.871141i | \(0.336619\pi\) |
−0.999947 | + | 0.0103230i | \(0.996714\pi\) | |||||||
\(140\) | −4.00000 | − | 6.92820i | −0.338062 | − | 0.585540i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −1.00000 | −0.0833333 | ||||||||
\(145\) | −10.0000 | − | 17.3205i | −0.830455 | − | 1.43839i | ||||
\(146\) | −1.00000 | − | 1.73205i | −0.0827606 | − | 0.143346i | ||||
\(147\) | 4.50000 | − | 7.79423i | 0.371154 | − | 0.642857i | ||||
\(148\) | −2.00000 | −0.164399 | ||||||||
\(149\) | −3.00000 | + | 5.19615i | −0.245770 | + | 0.425685i | −0.962348 | − | 0.271821i | \(-0.912374\pi\) |
0.716578 | + | 0.697507i | \(0.245707\pi\) | |||||||
\(150\) | 0.500000 | − | 0.866025i | 0.0408248 | − | 0.0707107i | ||||
\(151\) | −4.00000 | −0.325515 | −0.162758 | − | 0.986666i | \(-0.552039\pi\) | ||||
−0.162758 | + | 0.986666i | \(0.552039\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −1.00000 | − | 1.73205i | −0.0808452 | − | 0.140028i | ||||
\(154\) | −8.00000 | − | 13.8564i | −0.644658 | − | 1.11658i | ||||
\(155\) | 8.00000 | 0.642575 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −18.0000 | −1.43656 | −0.718278 | − | 0.695756i | \(-0.755069\pi\) | ||||
−0.718278 | + | 0.695756i | \(0.755069\pi\) | |||||||
\(158\) | 4.00000 | + | 6.92820i | 0.318223 | + | 0.551178i | ||||
\(159\) | 3.00000 | + | 5.19615i | 0.237915 | + | 0.412082i | ||||
\(160\) | −5.00000 | + | 8.66025i | −0.395285 | + | 0.684653i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0.500000 | − | 0.866025i | 0.0392837 | − | 0.0680414i | ||||
\(163\) | 4.00000 | − | 6.92820i | 0.313304 | − | 0.542659i | −0.665771 | − | 0.746156i | \(-0.731897\pi\) |
0.979076 | + | 0.203497i | \(0.0652307\pi\) | |||||||
\(164\) | 6.00000 | 0.468521 | ||||||||
\(165\) | 4.00000 | − | 6.92820i | 0.311400 | − | 0.539360i | ||||
\(166\) | −2.00000 | − | 3.46410i | −0.155230 | − | 0.268866i | ||||
\(167\) | −4.00000 | − | 6.92820i | −0.309529 | − | 0.536120i | 0.668730 | − | 0.743505i | \(-0.266838\pi\) |
−0.978259 | + | 0.207385i | \(0.933505\pi\) | |||||||
\(168\) | −12.0000 | −0.925820 | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 4.00000 | 0.306786 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −6.00000 | − | 10.3923i | −0.457496 | − | 0.792406i | ||||
\(173\) | −3.00000 | + | 5.19615i | −0.228086 | + | 0.395056i | −0.957241 | − | 0.289292i | \(-0.906580\pi\) |
0.729155 | + | 0.684349i | \(0.239913\pi\) | |||||||
\(174\) | −10.0000 | −0.758098 | ||||||||
\(175\) | 2.00000 | − | 3.46410i | 0.151186 | − | 0.261861i | ||||
\(176\) | −2.00000 | + | 3.46410i | −0.150756 | + | 0.261116i | ||||
\(177\) | 12.0000 | 0.901975 | ||||||||
\(178\) | 1.00000 | − | 1.73205i | 0.0749532 | − | 0.129823i | ||||
\(179\) | −2.00000 | − | 3.46410i | −0.149487 | − | 0.258919i | 0.781551 | − | 0.623841i | \(-0.214429\pi\) |
−0.931038 | + | 0.364922i | \(0.881096\pi\) | |||||||
\(180\) | −1.00000 | − | 1.73205i | −0.0745356 | − | 0.129099i | ||||
\(181\) | −10.0000 | −0.743294 | −0.371647 | − | 0.928374i | \(-0.621207\pi\) | ||||
−0.371647 | + | 0.928374i | \(0.621207\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.00000 | 0.147844 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 2.00000 | + | 3.46410i | 0.147043 | + | 0.254686i | ||||
\(186\) | 2.00000 | − | 3.46410i | 0.146647 | − | 0.254000i | ||||
\(187\) | −8.00000 | −0.585018 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 2.00000 | − | 3.46410i | 0.145479 | − | 0.251976i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −4.00000 | + | 6.92820i | −0.289430 | + | 0.501307i | −0.973674 | − | 0.227946i | \(-0.926799\pi\) |
0.684244 | + | 0.729253i | \(0.260132\pi\) | |||||||
\(192\) | 3.50000 | + | 6.06218i | 0.252591 | + | 0.437500i | ||||
\(193\) | 9.00000 | + | 15.5885i | 0.647834 | + | 1.12208i | 0.983639 | + | 0.180150i | \(0.0576584\pi\) |
−0.335805 | + | 0.941932i | \(0.609008\pi\) | |||||||
\(194\) | 10.0000 | 0.717958 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −9.00000 | −0.642857 | ||||||||
\(197\) | 9.00000 | + | 15.5885i | 0.641223 | + | 1.11063i | 0.985160 | + | 0.171639i | \(0.0549062\pi\) |
−0.343937 | + | 0.938993i | \(0.611761\pi\) | |||||||
\(198\) | −2.00000 | − | 3.46410i | −0.142134 | − | 0.246183i | ||||
\(199\) | −4.00000 | + | 6.92820i | −0.283552 | + | 0.491127i | −0.972257 | − | 0.233915i | \(-0.924846\pi\) |
0.688705 | + | 0.725042i | \(0.258180\pi\) | |||||||
\(200\) | −3.00000 | −0.212132 | ||||||||
\(201\) | 4.00000 | − | 6.92820i | 0.282138 | − | 0.488678i | ||||
\(202\) | −9.00000 | + | 15.5885i | −0.633238 | + | 1.09680i | ||||
\(203\) | −40.0000 | −2.80745 | ||||||||
\(204\) | −1.00000 | + | 1.73205i | −0.0700140 | + | 0.121268i | ||||
\(205\) | −6.00000 | − | 10.3923i | −0.419058 | − | 0.725830i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 4.00000 | + | 6.92820i | 0.276026 | + | 0.478091i | ||||
\(211\) | 10.0000 | + | 17.3205i | 0.688428 | + | 1.19239i | 0.972346 | + | 0.233544i | \(0.0750324\pi\) |
−0.283918 | + | 0.958849i | \(0.591634\pi\) | |||||||
\(212\) | 3.00000 | − | 5.19615i | 0.206041 | − | 0.356873i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 6.00000 | − | 10.3923i | 0.410152 | − | 0.710403i | ||||
\(215\) | −12.0000 | + | 20.7846i | −0.818393 | + | 1.41750i | ||||
\(216\) | −3.00000 | −0.204124 | ||||||||
\(217\) | 8.00000 | − | 13.8564i | 0.543075 | − | 0.940634i | ||||
\(218\) | 1.00000 | + | 1.73205i | 0.0677285 | + | 0.117309i | ||||
\(219\) | −1.00000 | − | 1.73205i | −0.0675737 | − | 0.117041i | ||||
\(220\) | −8.00000 | −0.539360 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 2.00000 | 0.134231 | ||||||||
\(223\) | 2.00000 | + | 3.46410i | 0.133930 | + | 0.231973i | 0.925188 | − | 0.379509i | \(-0.123907\pi\) |
−0.791258 | + | 0.611482i | \(0.790574\pi\) | |||||||
\(224\) | 10.0000 | + | 17.3205i | 0.668153 | + | 1.15728i | ||||
\(225\) | 0.500000 | − | 0.866025i | 0.0333333 | − | 0.0577350i | ||||
\(226\) | 6.00000 | 0.399114 | ||||||||
\(227\) | −10.0000 | + | 17.3205i | −0.663723 | + | 1.14960i | 0.315906 | + | 0.948790i | \(0.397691\pi\) |
−0.979630 | + | 0.200812i | \(0.935642\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 10.0000 | 0.660819 | 0.330409 | − | 0.943838i | \(-0.392813\pi\) | ||||
0.330409 | + | 0.943838i | \(0.392813\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −8.00000 | − | 13.8564i | −0.526361 | − | 0.911685i | ||||
\(232\) | 15.0000 | + | 25.9808i | 0.984798 | + | 1.70572i | ||||
\(233\) | −14.0000 | −0.917170 | −0.458585 | − | 0.888650i | \(-0.651644\pi\) | ||||
−0.458585 | + | 0.888650i | \(0.651644\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −6.00000 | − | 10.3923i | −0.390567 | − | 0.676481i | ||||
\(237\) | 4.00000 | + | 6.92820i | 0.259828 | + | 0.450035i | ||||
\(238\) | 4.00000 | − | 6.92820i | 0.259281 | − | 0.449089i | ||||
\(239\) | 24.0000 | 1.55243 | 0.776215 | − | 0.630468i | \(-0.217137\pi\) | ||||
0.776215 | + | 0.630468i | \(0.217137\pi\) | |||||||
\(240\) | 1.00000 | − | 1.73205i | 0.0645497 | − | 0.111803i | ||||
\(241\) | 5.00000 | − | 8.66025i | 0.322078 | − | 0.557856i | −0.658838 | − | 0.752285i | \(-0.728952\pi\) |
0.980917 | + | 0.194429i | \(0.0622852\pi\) | |||||||
\(242\) | −5.00000 | −0.321412 | ||||||||
\(243\) | 0.500000 | − | 0.866025i | 0.0320750 | − | 0.0555556i | ||||
\(244\) | −1.00000 | − | 1.73205i | −0.0640184 | − | 0.110883i | ||||
\(245\) | 9.00000 | + | 15.5885i | 0.574989 | + | 0.995910i | ||||
\(246\) | −6.00000 | −0.382546 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −12.0000 | −0.762001 | ||||||||
\(249\) | −2.00000 | − | 3.46410i | −0.126745 | − | 0.219529i | ||||
\(250\) | 6.00000 | + | 10.3923i | 0.379473 | + | 0.657267i | ||||
\(251\) | 6.00000 | − | 10.3923i | 0.378717 | − | 0.655956i | −0.612159 | − | 0.790735i | \(-0.709699\pi\) |
0.990876 | + | 0.134778i | \(0.0430322\pi\) | |||||||
\(252\) | −4.00000 | −0.251976 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −8.00000 | + | 13.8564i | −0.501965 | + | 0.869428i | ||||
\(255\) | 4.00000 | 0.250490 | ||||||||
\(256\) | 8.50000 | − | 14.7224i | 0.531250 | − | 0.920152i | ||||
\(257\) | −13.0000 | − | 22.5167i | −0.810918 | − | 1.40455i | −0.912222 | − | 0.409695i | \(-0.865635\pi\) |
0.101305 | − | 0.994855i | \(-0.467698\pi\) | |||||||
\(258\) | 6.00000 | + | 10.3923i | 0.373544 | + | 0.646997i | ||||
\(259\) | 8.00000 | 0.497096 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −10.0000 | −0.618984 | ||||||||
\(262\) | 2.00000 | + | 3.46410i | 0.123560 | + | 0.214013i | ||||
\(263\) | −12.0000 | − | 20.7846i | −0.739952 | − | 1.28163i | −0.952517 | − | 0.304487i | \(-0.901515\pi\) |
0.212565 | − | 0.977147i | \(-0.431818\pi\) | |||||||
\(264\) | −6.00000 | + | 10.3923i | −0.369274 | + | 0.639602i | ||||
\(265\) | −12.0000 | −0.737154 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 1.00000 | − | 1.73205i | 0.0611990 | − | 0.106000i | ||||
\(268\) | −8.00000 | −0.488678 | ||||||||
\(269\) | −11.0000 | + | 19.0526i | −0.670682 | + | 1.16166i | 0.307029 | + | 0.951700i | \(0.400665\pi\) |
−0.977711 | + | 0.209955i | \(0.932668\pi\) | |||||||
\(270\) | 1.00000 | + | 1.73205i | 0.0608581 | + | 0.105409i | ||||
\(271\) | −6.00000 | − | 10.3923i | −0.364474 | − | 0.631288i | 0.624218 | − | 0.781251i | \(-0.285418\pi\) |
−0.988692 | + | 0.149963i | \(0.952085\pi\) | |||||||
\(272\) | −2.00000 | −0.121268 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 6.00000 | 0.362473 | ||||||||
\(275\) | −2.00000 | − | 3.46410i | −0.120605 | − | 0.208893i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 5.00000 | − | 8.66025i | 0.300421 | − | 0.520344i | −0.675810 | − | 0.737075i | \(-0.736206\pi\) |
0.976231 | + | 0.216731i | \(0.0695395\pi\) | |||||||
\(278\) | −12.0000 | −0.719712 | ||||||||
\(279\) | 2.00000 | − | 3.46410i | 0.119737 | − | 0.207390i | ||||
\(280\) | 12.0000 | − | 20.7846i | 0.717137 | − | 1.24212i | ||||
\(281\) | 10.0000 | 0.596550 | 0.298275 | − | 0.954480i | \(-0.403589\pi\) | ||||
0.298275 | + | 0.954480i | \(0.403589\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −6.00000 | − | 10.3923i | −0.356663 | − | 0.617758i | 0.630738 | − | 0.775996i | \(-0.282752\pi\) |
−0.987401 | + | 0.158237i | \(0.949419\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −24.0000 | −1.41668 | ||||||||
\(288\) | 2.50000 | + | 4.33013i | 0.147314 | + | 0.255155i | ||||
\(289\) | 6.50000 | + | 11.2583i | 0.382353 | + | 0.662255i | ||||
\(290\) | 10.0000 | − | 17.3205i | 0.587220 | − | 1.01710i | ||||
\(291\) | 10.0000 | 0.586210 | ||||||||
\(292\) | −1.00000 | + | 1.73205i | −0.0585206 | + | 0.101361i | ||||
\(293\) | −3.00000 | + | 5.19615i | −0.175262 | + | 0.303562i | −0.940252 | − | 0.340480i | \(-0.889411\pi\) |
0.764990 | + | 0.644042i | \(0.222744\pi\) | |||||||
\(294\) | 9.00000 | 0.524891 | ||||||||
\(295\) | −12.0000 | + | 20.7846i | −0.698667 | + | 1.21013i | ||||
\(296\) | −3.00000 | − | 5.19615i | −0.174371 | − | 0.302020i | ||||
\(297\) | −2.00000 | − | 3.46410i | −0.116052 | − | 0.201008i | ||||
\(298\) | −6.00000 | −0.347571 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | −1.00000 | −0.0577350 | ||||||||
\(301\) | 24.0000 | + | 41.5692i | 1.38334 | + | 2.39601i | ||||
\(302\) | −2.00000 | − | 3.46410i | −0.115087 | − | 0.199337i | ||||
\(303\) | −9.00000 | + | 15.5885i | −0.517036 | + | 0.895533i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −2.00000 | + | 3.46410i | −0.114520 | + | 0.198354i | ||||
\(306\) | 1.00000 | − | 1.73205i | 0.0571662 | − | 0.0990148i | ||||
\(307\) | 16.0000 | 0.913168 | 0.456584 | − | 0.889680i | \(-0.349073\pi\) | ||||
0.456584 | + | 0.889680i | \(0.349073\pi\) | |||||||
\(308\) | −8.00000 | + | 13.8564i | −0.455842 | + | 0.789542i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 4.00000 | + | 6.92820i | 0.227185 | + | 0.393496i | ||||
\(311\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −6.00000 | −0.339140 | −0.169570 | − | 0.985518i | \(-0.554238\pi\) | ||||
−0.169570 | + | 0.985518i | \(0.554238\pi\) | |||||||
\(314\) | −9.00000 | − | 15.5885i | −0.507899 | − | 0.879708i | ||||
\(315\) | 4.00000 | + | 6.92820i | 0.225374 | + | 0.390360i | ||||
\(316\) | 4.00000 | − | 6.92820i | 0.225018 | − | 0.389742i | ||||
\(317\) | −26.0000 | −1.46031 | −0.730153 | − | 0.683284i | \(-0.760551\pi\) | ||||
−0.730153 | + | 0.683284i | \(0.760551\pi\) | |||||||
\(318\) | −3.00000 | + | 5.19615i | −0.168232 | + | 0.291386i | ||||
\(319\) | −20.0000 | + | 34.6410i | −1.11979 | + | 1.93952i | ||||
\(320\) | −14.0000 | −0.782624 | ||||||||
\(321\) | 6.00000 | − | 10.3923i | 0.334887 | − | 0.580042i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 8.00000 | 0.443079 | ||||||||
\(327\) | 1.00000 | + | 1.73205i | 0.0553001 | + | 0.0957826i | ||||
\(328\) | 9.00000 | + | 15.5885i | 0.496942 | + | 0.860729i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 8.00000 | 0.440386 | ||||||||
\(331\) | −8.00000 | + | 13.8564i | −0.439720 | + | 0.761617i | −0.997668 | − | 0.0682590i | \(-0.978256\pi\) |
0.557948 | + | 0.829876i | \(0.311589\pi\) | |||||||
\(332\) | −2.00000 | + | 3.46410i | −0.109764 | + | 0.190117i | ||||
\(333\) | 2.00000 | 0.109599 | ||||||||
\(334\) | 4.00000 | − | 6.92820i | 0.218870 | − | 0.379094i | ||||
\(335\) | 8.00000 | + | 13.8564i | 0.437087 | + | 0.757056i | ||||
\(336\) | −2.00000 | − | 3.46410i | −0.109109 | − | 0.188982i | ||||
\(337\) | 18.0000 | 0.980522 | 0.490261 | − | 0.871576i | \(-0.336901\pi\) | ||||
0.490261 | + | 0.871576i | \(0.336901\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 6.00000 | 0.325875 | ||||||||
\(340\) | −2.00000 | − | 3.46410i | −0.108465 | − | 0.187867i | ||||
\(341\) | −8.00000 | − | 13.8564i | −0.433224 | − | 0.750366i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 8.00000 | 0.431959 | ||||||||
\(344\) | 18.0000 | − | 31.1769i | 0.970495 | − | 1.68095i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −6.00000 | −0.322562 | ||||||||
\(347\) | 6.00000 | − | 10.3923i | 0.322097 | − | 0.557888i | −0.658824 | − | 0.752297i | \(-0.728946\pi\) |
0.980921 | + | 0.194409i | \(0.0622790\pi\) | |||||||
\(348\) | 5.00000 | + | 8.66025i | 0.268028 | + | 0.464238i | ||||
\(349\) | −13.0000 | − | 22.5167i | −0.695874 | − | 1.20529i | −0.969885 | − | 0.243563i | \(-0.921684\pi\) |
0.274011 | − | 0.961727i | \(-0.411649\pi\) | |||||||
\(350\) | 4.00000 | 0.213809 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 20.0000 | 1.06600 | ||||||||
\(353\) | −1.00000 | − | 1.73205i | −0.0532246 | − | 0.0921878i | 0.838186 | − | 0.545385i | \(-0.183617\pi\) |
−0.891410 | + | 0.453197i | \(0.850283\pi\) | |||||||
\(354\) | 6.00000 | + | 10.3923i | 0.318896 | + | 0.552345i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −2.00000 | −0.106000 | ||||||||
\(357\) | 4.00000 | − | 6.92820i | 0.211702 | − | 0.366679i | ||||
\(358\) | 2.00000 | − | 3.46410i | 0.105703 | − | 0.183083i | ||||
\(359\) | −24.0000 | −1.26667 | −0.633336 | − | 0.773877i | \(-0.718315\pi\) | ||||
−0.633336 | + | 0.773877i | \(0.718315\pi\) | |||||||
\(360\) | 3.00000 | − | 5.19615i | 0.158114 | − | 0.273861i | ||||
\(361\) | 9.50000 | + | 16.4545i | 0.500000 | + | 0.866025i | ||||
\(362\) | −5.00000 | − | 8.66025i | −0.262794 | − | 0.455173i | ||||
\(363\) | −5.00000 | −0.262432 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 4.00000 | 0.209370 | ||||||||
\(366\) | 1.00000 | + | 1.73205i | 0.0522708 | + | 0.0905357i | ||||
\(367\) | −8.00000 | − | 13.8564i | −0.417597 | − | 0.723299i | 0.578101 | − | 0.815966i | \(-0.303794\pi\) |
−0.995697 | + | 0.0926670i | \(0.970461\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −6.00000 | −0.312348 | ||||||||
\(370\) | −2.00000 | + | 3.46410i | −0.103975 | + | 0.180090i | ||||
\(371\) | −12.0000 | + | 20.7846i | −0.623009 | + | 1.07908i | ||||
\(372\) | −4.00000 | −0.207390 | ||||||||
\(373\) | 13.0000 | − | 22.5167i | 0.673114 | − | 1.16587i | −0.303902 | − | 0.952703i | \(-0.598289\pi\) |
0.977016 | − | 0.213165i | \(-0.0683772\pi\) | |||||||
\(374\) | −4.00000 | − | 6.92820i | −0.206835 | − | 0.358249i | ||||
\(375\) | 6.00000 | + | 10.3923i | 0.309839 | + | 0.536656i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 4.00000 | 0.205738 | ||||||||
\(379\) | −12.0000 | − | 20.7846i | −0.616399 | − | 1.06763i | −0.990137 | − | 0.140100i | \(-0.955258\pi\) |
0.373739 | − | 0.927534i | \(-0.378076\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −8.00000 | + | 13.8564i | −0.409852 | + | 0.709885i | ||||
\(382\) | −8.00000 | −0.409316 | ||||||||
\(383\) | −8.00000 | + | 13.8564i | −0.408781 | + | 0.708029i | −0.994753 | − | 0.102302i | \(-0.967379\pi\) |
0.585973 | + | 0.810331i | \(0.300713\pi\) | |||||||
\(384\) | 1.50000 | − | 2.59808i | 0.0765466 | − | 0.132583i | ||||
\(385\) | 32.0000 | 1.63087 | ||||||||
\(386\) | −9.00000 | + | 15.5885i | −0.458088 | + | 0.793432i | ||||
\(387\) | 6.00000 | + | 10.3923i | 0.304997 | + | 0.528271i | ||||
\(388\) | −5.00000 | − | 8.66025i | −0.253837 | − | 0.439658i | ||||
\(389\) | 22.0000 | 1.11544 | 0.557722 | − | 0.830028i | \(-0.311675\pi\) | ||||
0.557722 | + | 0.830028i | \(0.311675\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | −13.5000 | − | 23.3827i | −0.681853 | − | 1.18100i | ||||
\(393\) | 2.00000 | + | 3.46410i | 0.100887 | + | 0.174741i | ||||
\(394\) | −9.00000 | + | 15.5885i | −0.453413 | + | 0.785335i | ||||
\(395\) | −16.0000 | −0.805047 | ||||||||
\(396\) | −2.00000 | + | 3.46410i | −0.100504 | + | 0.174078i | ||||
\(397\) | 19.0000 | − | 32.9090i | 0.953583 | − | 1.65165i | 0.216004 | − | 0.976392i | \(-0.430698\pi\) |
0.737579 | − | 0.675261i | \(-0.235969\pi\) | |||||||
\(398\) | −8.00000 | −0.401004 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.500000 | − | 0.866025i | −0.0250000 | − | 0.0433013i | ||||
\(401\) | 11.0000 | + | 19.0526i | 0.549314 | + | 0.951439i | 0.998322 | + | 0.0579116i | \(0.0184442\pi\) |
−0.449008 | + | 0.893528i | \(0.648223\pi\) | |||||||
\(402\) | 8.00000 | 0.399004 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 18.0000 | 0.895533 | ||||||||
\(405\) | 1.00000 | + | 1.73205i | 0.0496904 | + | 0.0860663i | ||||
\(406\) | −20.0000 | − | 34.6410i | −0.992583 | − | 1.71920i | ||||
\(407\) | 4.00000 | − | 6.92820i | 0.198273 | − | 0.343418i | ||||
\(408\) | −6.00000 | −0.297044 | ||||||||
\(409\) | 17.0000 | − | 29.4449i | 0.840596 | − | 1.45595i | −0.0487958 | − | 0.998809i | \(-0.515538\pi\) |
0.889392 | − | 0.457146i | \(-0.151128\pi\) | |||||||
\(410\) | 6.00000 | − | 10.3923i | 0.296319 | − | 0.513239i | ||||
\(411\) | 6.00000 | 0.295958 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 24.0000 | + | 41.5692i | 1.18096 | + | 2.04549i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 8.00000 | 0.392705 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −12.0000 | −0.587643 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −2.00000 | − | 3.46410i | −0.0977064 | − | 0.169232i | 0.813029 | − | 0.582224i | \(-0.197817\pi\) |
−0.910735 | + | 0.412991i | \(0.864484\pi\) | |||||||
\(420\) | 4.00000 | − | 6.92820i | 0.195180 | − | 0.338062i | ||||
\(421\) | 10.0000 | 0.487370 | 0.243685 | − | 0.969854i | \(-0.421644\pi\) | ||||
0.243685 | + | 0.969854i | \(0.421644\pi\) | |||||||
\(422\) | −10.0000 | + | 17.3205i | −0.486792 | + | 0.843149i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 18.0000 | 0.874157 | ||||||||
\(425\) | 1.00000 | − | 1.73205i | 0.0485071 | − | 0.0840168i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 4.00000 | + | 6.92820i | 0.193574 | + | 0.335279i | ||||
\(428\) | −12.0000 | −0.580042 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −24.0000 | −1.15738 | ||||||||
\(431\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(432\) | −0.500000 | − | 0.866025i | −0.0240563 | − | 0.0416667i | ||||
\(433\) | −17.0000 | + | 29.4449i | −0.816968 | + | 1.41503i | 0.0909384 | + | 0.995857i | \(0.471013\pi\) |
−0.907906 | + | 0.419173i | \(0.862320\pi\) | |||||||
\(434\) | 16.0000 | 0.768025 | ||||||||
\(435\) | 10.0000 | − | 17.3205i | 0.479463 | − | 0.830455i | ||||
\(436\) | 1.00000 | − | 1.73205i | 0.0478913 | − | 0.0829502i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 1.00000 | − | 1.73205i | 0.0477818 | − | 0.0827606i | ||||
\(439\) | −16.0000 | − | 27.7128i | −0.763638 | − | 1.32266i | −0.940963 | − | 0.338508i | \(-0.890078\pi\) |
0.177325 | − | 0.984152i | \(-0.443256\pi\) | |||||||
\(440\) | −12.0000 | − | 20.7846i | −0.572078 | − | 0.990867i | ||||
\(441\) | 9.00000 | 0.428571 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −4.00000 | −0.190046 | −0.0950229 | − | 0.995475i | \(-0.530292\pi\) | ||||
−0.0950229 | + | 0.995475i | \(0.530292\pi\) | |||||||
\(444\) | −1.00000 | − | 1.73205i | −0.0474579 | − | 0.0821995i | ||||
\(445\) | 2.00000 | + | 3.46410i | 0.0948091 | + | 0.164214i | ||||
\(446\) | −2.00000 | + | 3.46410i | −0.0947027 | + | 0.164030i | ||||
\(447\) | −6.00000 | −0.283790 | ||||||||
\(448\) | −14.0000 | + | 24.2487i | −0.661438 | + | 1.14564i | ||||
\(449\) | 11.0000 | − | 19.0526i | 0.519122 | − | 0.899146i | −0.480631 | − | 0.876923i | \(-0.659592\pi\) |
0.999753 | − | 0.0222229i | \(-0.00707434\pi\) | |||||||
\(450\) | 1.00000 | 0.0471405 | ||||||||
\(451\) | −12.0000 | + | 20.7846i | −0.565058 | + | 0.978709i | ||||
\(452\) | −3.00000 | − | 5.19615i | −0.141108 | − | 0.244406i | ||||
\(453\) | −2.00000 | − | 3.46410i | −0.0939682 | − | 0.162758i | ||||
\(454\) | −20.0000 | −0.938647 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.00000 | + | 1.73205i | 0.0467780 | + | 0.0810219i | 0.888466 | − | 0.458942i | \(-0.151771\pi\) |
−0.841688 | + | 0.539964i | \(0.818438\pi\) | |||||||
\(458\) | 5.00000 | + | 8.66025i | 0.233635 | + | 0.404667i | ||||
\(459\) | 1.00000 | − | 1.73205i | 0.0466760 | − | 0.0808452i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −19.0000 | + | 32.9090i | −0.884918 | + | 1.53272i | −0.0391109 | + | 0.999235i | \(0.512453\pi\) |
−0.845807 | + | 0.533488i | \(0.820881\pi\) | |||||||
\(462\) | 8.00000 | − | 13.8564i | 0.372194 | − | 0.644658i | ||||
\(463\) | −4.00000 | −0.185896 | −0.0929479 | − | 0.995671i | \(-0.529629\pi\) | ||||
−0.0929479 | + | 0.995671i | \(0.529629\pi\) | |||||||
\(464\) | −5.00000 | + | 8.66025i | −0.232119 | + | 0.402042i | ||||
\(465\) | 4.00000 | + | 6.92820i | 0.185496 | + | 0.321288i | ||||
\(466\) | −7.00000 | − | 12.1244i | −0.324269 | − | 0.561650i | ||||
\(467\) | 12.0000 | 0.555294 | 0.277647 | − | 0.960683i | \(-0.410445\pi\) | ||||
0.277647 | + | 0.960683i | \(0.410445\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 32.0000 | 1.47762 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −9.00000 | − | 15.5885i | −0.414698 | − | 0.718278i | ||||
\(472\) | 18.0000 | − | 31.1769i | 0.828517 | − | 1.43503i | ||||
\(473\) | 48.0000 | 2.20704 | ||||||||
\(474\) | −4.00000 | + | 6.92820i | −0.183726 | + | 0.318223i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −8.00000 | −0.366679 | ||||||||
\(477\) | −3.00000 | + | 5.19615i | −0.137361 | + | 0.237915i | ||||
\(478\) | 12.0000 | + | 20.7846i | 0.548867 | + | 0.950666i | ||||
\(479\) | −12.0000 | − | 20.7846i | −0.548294 | − | 0.949673i | −0.998392 | − | 0.0566937i | \(-0.981944\pi\) |
0.450098 | − | 0.892979i | \(-0.351389\pi\) | |||||||
\(480\) | −10.0000 | −0.456435 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 10.0000 | 0.455488 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 2.50000 | + | 4.33013i | 0.113636 | + | 0.196824i | ||||
\(485\) | −10.0000 | + | 17.3205i | −0.454077 | + | 0.786484i | ||||
\(486\) | 1.00000 | 0.0453609 | ||||||||
\(487\) | 6.00000 | − | 10.3923i | 0.271886 | − | 0.470920i | −0.697459 | − | 0.716625i | \(-0.745686\pi\) |
0.969345 | + | 0.245705i | \(0.0790193\pi\) | |||||||
\(488\) | 3.00000 | − | 5.19615i | 0.135804 | − | 0.235219i | ||||
\(489\) | 8.00000 | 0.361773 | ||||||||
\(490\) | −9.00000 | + | 15.5885i | −0.406579 | + | 0.704215i | ||||
\(491\) | 6.00000 | + | 10.3923i | 0.270776 | + | 0.468998i | 0.969061 | − | 0.246822i | \(-0.0793863\pi\) |
−0.698285 | + | 0.715820i | \(0.746053\pi\) | |||||||
\(492\) | 3.00000 | + | 5.19615i | 0.135250 | + | 0.234261i | ||||
\(493\) | −20.0000 | −0.900755 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 8.00000 | 0.359573 | ||||||||
\(496\) | −2.00000 | − | 3.46410i | −0.0898027 | − | 0.155543i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 2.00000 | − | 3.46410i | 0.0896221 | − | 0.155230i | ||||
\(499\) | 24.0000 | 1.07439 | 0.537194 | − | 0.843459i | \(-0.319484\pi\) | ||||
0.537194 | + | 0.843459i | \(0.319484\pi\) | |||||||
\(500\) | 6.00000 | − | 10.3923i | 0.268328 | − | 0.464758i | ||||
\(501\) | 4.00000 | − | 6.92820i | 0.178707 | − | 0.309529i | ||||
\(502\) | 12.0000 | 0.535586 | ||||||||
\(503\) | 4.00000 | − | 6.92820i | 0.178351 | − | 0.308913i | −0.762965 | − | 0.646440i | \(-0.776257\pi\) |
0.941316 | + | 0.337527i | \(0.109590\pi\) | |||||||
\(504\) | −6.00000 | − | 10.3923i | −0.267261 | − | 0.462910i | ||||
\(505\) | −18.0000 | − | 31.1769i | −0.800989 | − | 1.38735i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 16.0000 | 0.709885 | ||||||||
\(509\) | 5.00000 | + | 8.66025i | 0.221621 | + | 0.383859i | 0.955300 | − | 0.295637i | \(-0.0955319\pi\) |
−0.733679 | + | 0.679496i | \(0.762199\pi\) | |||||||
\(510\) | 2.00000 | + | 3.46410i | 0.0885615 | + | 0.153393i | ||||
\(511\) | 4.00000 | − | 6.92820i | 0.176950 | − | 0.306486i | ||||
\(512\) | 11.0000 | 0.486136 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 13.0000 | − | 22.5167i | 0.573405 | − | 0.993167i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 6.00000 | − | 10.3923i | 0.264135 | − | 0.457496i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 4.00000 | + | 6.92820i | 0.175750 | + | 0.304408i | ||||
\(519\) | −6.00000 | −0.263371 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 18.0000 | 0.788594 | 0.394297 | − | 0.918983i | \(-0.370988\pi\) | ||||
0.394297 | + | 0.918983i | \(0.370988\pi\) | |||||||
\(522\) | −5.00000 | − | 8.66025i | −0.218844 | − | 0.379049i | ||||
\(523\) | −22.0000 | − | 38.1051i | −0.961993 | − | 1.66622i | −0.717486 | − | 0.696573i | \(-0.754707\pi\) |
−0.244507 | − | 0.969648i | \(-0.578626\pi\) | |||||||
\(524\) | 2.00000 | − | 3.46410i | 0.0873704 | − | 0.151330i | ||||
\(525\) | 4.00000 | 0.174574 | ||||||||
\(526\) | 12.0000 | − | 20.7846i | 0.523225 | − | 0.906252i | ||||
\(527\) | 4.00000 | − | 6.92820i | 0.174243 | − | 0.301797i | ||||
\(528\) | −4.00000 | −0.174078 | ||||||||
\(529\) | 11.5000 | − | 19.9186i | 0.500000 | − | 0.866025i | ||||
\(530\) | −6.00000 | − | 10.3923i | −0.260623 | − | 0.451413i | ||||
\(531\) | 6.00000 | + | 10.3923i | 0.260378 | + | 0.450988i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 2.00000 | 0.0865485 | ||||||||
\(535\) | 12.0000 | + | 20.7846i | 0.518805 | + | 0.898597i | ||||
\(536\) | −12.0000 | − | 20.7846i | −0.518321 | − | 0.897758i | ||||
\(537\) | 2.00000 | − | 3.46410i | 0.0863064 | − | 0.149487i | ||||
\(538\) | −22.0000 | −0.948487 | ||||||||
\(539\) | 18.0000 | − | 31.1769i | 0.775315 | − | 1.34288i | ||||
\(540\) | 1.00000 | − | 1.73205i | 0.0430331 | − | 0.0745356i | ||||
\(541\) | −30.0000 | −1.28980 | −0.644900 | − | 0.764267i | \(-0.723101\pi\) | ||||
−0.644900 | + | 0.764267i | \(0.723101\pi\) | |||||||
\(542\) | 6.00000 | − | 10.3923i | 0.257722 | − | 0.446388i | ||||
\(543\) | −5.00000 | − | 8.66025i | −0.214571 | − | 0.371647i | ||||
\(544\) | 5.00000 | + | 8.66025i | 0.214373 | + | 0.371305i | ||||
\(545\) | −4.00000 | −0.171341 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 4.00000 | 0.171028 | 0.0855138 | − | 0.996337i | \(-0.472747\pi\) | ||||
0.0855138 | + | 0.996337i | \(0.472747\pi\) | |||||||
\(548\) | −3.00000 | − | 5.19615i | −0.128154 | − | 0.221969i | ||||
\(549\) | 1.00000 | + | 1.73205i | 0.0426790 | + | 0.0739221i | ||||
\(550\) | 2.00000 | − | 3.46410i | 0.0852803 | − | 0.147710i | ||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −16.0000 | + | 27.7128i | −0.680389 | + | 1.17847i | ||||
\(554\) | 10.0000 | 0.424859 | ||||||||
\(555\) | −2.00000 | + | 3.46410i | −0.0848953 | + | 0.147043i | ||||
\(556\) | 6.00000 | + | 10.3923i | 0.254457 | + | 0.440732i | ||||
\(557\) | 9.00000 | + | 15.5885i | 0.381342 | + | 0.660504i | 0.991254 | − | 0.131965i | \(-0.0421286\pi\) |
−0.609912 | + | 0.792469i | \(0.708795\pi\) | |||||||
\(558\) | 4.00000 | 0.169334 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 8.00000 | 0.338062 | ||||||||
\(561\) | −4.00000 | − | 6.92820i | −0.168880 | − | 0.292509i | ||||
\(562\) | 5.00000 | + | 8.66025i | 0.210912 | + | 0.365311i | ||||
\(563\) | 6.00000 | − | 10.3923i | 0.252870 | − | 0.437983i | −0.711445 | − | 0.702742i | \(-0.751959\pi\) |
0.964315 | + | 0.264758i | \(0.0852922\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −6.00000 | + | 10.3923i | −0.252422 | + | 0.437208i | ||||
\(566\) | 6.00000 | − | 10.3923i | 0.252199 | − | 0.436821i | ||||
\(567\) | 4.00000 | 0.167984 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −17.0000 | − | 29.4449i | −0.712677 | − | 1.23439i | −0.963849 | − | 0.266450i | \(-0.914149\pi\) |
0.251172 | − | 0.967943i | \(-0.419184\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −4.00000 | −0.167395 | −0.0836974 | − | 0.996491i | \(-0.526673\pi\) | ||||
−0.0836974 | + | 0.996491i | \(0.526673\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −8.00000 | −0.334205 | ||||||||
\(574\) | −12.0000 | − | 20.7846i | −0.500870 | − | 0.867533i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −3.50000 | + | 6.06218i | −0.145833 | + | 0.252591i | ||||
\(577\) | 46.0000 | 1.91501 | 0.957503 | − | 0.288425i | \(-0.0931316\pi\) | ||||
0.957503 | + | 0.288425i | \(0.0931316\pi\) | |||||||
\(578\) | −6.50000 | + | 11.2583i | −0.270364 | + | 0.468285i | ||||
\(579\) | −9.00000 | + | 15.5885i | −0.374027 | + | 0.647834i | ||||
\(580\) | −20.0000 | −0.830455 | ||||||||
\(581\) | 8.00000 | − | 13.8564i | 0.331896 | − | 0.574861i | ||||
\(582\) | 5.00000 | + | 8.66025i | 0.207257 | + | 0.358979i | ||||
\(583\) | 12.0000 | + | 20.7846i | 0.496989 | + | 0.860811i | ||||
\(584\) | −6.00000 | −0.248282 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −6.00000 | −0.247858 | ||||||||
\(587\) | 14.0000 | + | 24.2487i | 0.577842 | + | 1.00085i | 0.995726 | + | 0.0923513i | \(0.0294383\pi\) |
−0.417885 | + | 0.908500i | \(0.637228\pi\) | |||||||
\(588\) | −4.50000 | − | 7.79423i | −0.185577 | − | 0.321429i | ||||
\(589\) | 0 | 0 | ||||||||
\(590\) | −24.0000 | −0.988064 | ||||||||
\(591\) | −9.00000 | + | 15.5885i | −0.370211 | + | 0.641223i | ||||
\(592\) | 1.00000 | − | 1.73205i | 0.0410997 | − | 0.0711868i | ||||
\(593\) | 26.0000 | 1.06769 | 0.533846 | − | 0.845582i | \(-0.320746\pi\) | ||||
0.533846 | + | 0.845582i | \(0.320746\pi\) | |||||||
\(594\) | 2.00000 | − | 3.46410i | 0.0820610 | − | 0.142134i | ||||
\(595\) | 8.00000 | + | 13.8564i | 0.327968 | + | 0.568057i | ||||
\(596\) | 3.00000 | + | 5.19615i | 0.122885 | + | 0.212843i | ||||
\(597\) | −8.00000 | −0.327418 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −40.0000 | −1.63436 | −0.817178 | − | 0.576386i | \(-0.804463\pi\) | ||||
−0.817178 | + | 0.576386i | \(0.804463\pi\) | |||||||
\(600\) | −1.50000 | − | 2.59808i | −0.0612372 | − | 0.106066i | ||||
\(601\) | 19.0000 | + | 32.9090i | 0.775026 | + | 1.34238i | 0.934780 | + | 0.355228i | \(0.115597\pi\) |
−0.159754 | + | 0.987157i | \(0.551070\pi\) | |||||||
\(602\) | −24.0000 | + | 41.5692i | −0.978167 | + | 1.69423i | ||||
\(603\) | 8.00000 | 0.325785 | ||||||||
\(604\) | −2.00000 | + | 3.46410i | −0.0813788 | + | 0.140952i | ||||
\(605\) | 5.00000 | − | 8.66025i | 0.203279 | − | 0.352089i | ||||
\(606\) | −18.0000 | −0.731200 | ||||||||
\(607\) | 8.00000 | − | 13.8564i | 0.324710 | − | 0.562414i | −0.656744 | − | 0.754114i | \(-0.728067\pi\) |
0.981454 | + | 0.191700i | \(0.0614000\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −20.0000 | − | 34.6410i | −0.810441 | − | 1.40372i | ||||
\(610\) | −4.00000 | −0.161955 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −2.00000 | −0.0808452 | ||||||||
\(613\) | −1.00000 | − | 1.73205i | −0.0403896 | − | 0.0699569i | 0.845124 | − | 0.534570i | \(-0.179527\pi\) |
−0.885514 | + | 0.464614i | \(0.846193\pi\) | |||||||
\(614\) | 8.00000 | + | 13.8564i | 0.322854 | + | 0.559199i | ||||
\(615\) | 6.00000 | − | 10.3923i | 0.241943 | − | 0.419058i | ||||
\(616\) | −48.0000 | −1.93398 | ||||||||
\(617\) | 11.0000 | − | 19.0526i | 0.442843 | − | 0.767027i | −0.555056 | − | 0.831813i | \(-0.687303\pi\) |
0.997899 | + | 0.0647859i | \(0.0206365\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −24.0000 | −0.964641 | −0.482321 | − | 0.875995i | \(-0.660206\pi\) | ||||
−0.482321 | + | 0.875995i | \(0.660206\pi\) | |||||||
\(620\) | 4.00000 | − | 6.92820i | 0.160644 | − | 0.278243i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 8.00000 | 0.320513 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.0000 | −0.760000 | ||||||||
\(626\) | −3.00000 | − | 5.19615i | −0.119904 | − | 0.207680i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −9.00000 | + | 15.5885i | −0.359139 | + | 0.622047i | ||||
\(629\) | 4.00000 | 0.159490 | ||||||||
\(630\) | −4.00000 | + | 6.92820i | −0.159364 | + | 0.276026i | ||||
\(631\) | 10.0000 | − | 17.3205i | 0.398094 | − | 0.689519i | −0.595397 | − | 0.803432i | \(-0.703005\pi\) |
0.993491 | + | 0.113913i | \(0.0363385\pi\) | |||||||
\(632\) | 24.0000 | 0.954669 | ||||||||
\(633\) | −10.0000 | + | 17.3205i | −0.397464 | + | 0.688428i | ||||
\(634\) | −13.0000 | − | 22.5167i | −0.516296 | − | 0.894251i | ||||
\(635\) | −16.0000 | − | 27.7128i | −0.634941 | − | 1.09975i | ||||
\(636\) | 6.00000 | 0.237915 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −40.0000 | −1.58362 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 3.00000 | + | 5.19615i | 0.118585 | + | 0.205396i | ||||
\(641\) | −1.00000 | + | 1.73205i | −0.0394976 | + | 0.0684119i | −0.885098 | − | 0.465404i | \(-0.845909\pi\) |
0.845601 | + | 0.533816i | \(0.179242\pi\) | |||||||
\(642\) | 12.0000 | 0.473602 | ||||||||
\(643\) | −20.0000 | + | 34.6410i | −0.788723 | + | 1.36611i | 0.138027 | + | 0.990429i | \(0.455924\pi\) |
−0.926750 | + | 0.375680i | \(0.877409\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −24.0000 | −0.944999 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 4.00000 | + | 6.92820i | 0.157256 | + | 0.272376i | 0.933878 | − | 0.357591i | \(-0.116402\pi\) |
−0.776622 | + | 0.629967i | \(0.783068\pi\) | |||||||
\(648\) | −1.50000 | − | 2.59808i | −0.0589256 | − | 0.102062i | ||||
\(649\) | 48.0000 | 1.88416 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 16.0000 | 0.627089 | ||||||||
\(652\) | −4.00000 | − | 6.92820i | −0.156652 | − | 0.271329i | ||||
\(653\) | −3.00000 | − | 5.19615i | −0.117399 | − | 0.203341i | 0.801337 | − | 0.598213i | \(-0.204122\pi\) |
−0.918736 | + | 0.394872i | \(0.870789\pi\) | |||||||
\(654\) | −1.00000 | + | 1.73205i | −0.0391031 | + | 0.0677285i | ||||
\(655\) | −8.00000 | −0.312586 | ||||||||
\(656\) | −3.00000 | + | 5.19615i | −0.117130 | + | 0.202876i | ||||
\(657\) | 1.00000 | − | 1.73205i | 0.0390137 | − | 0.0675737i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −14.0000 | + | 24.2487i | −0.545363 | + | 0.944596i | 0.453221 | + | 0.891398i | \(0.350275\pi\) |
−0.998584 | + | 0.0531977i | \(0.983059\pi\) | |||||||
\(660\) | −4.00000 | − | 6.92820i | −0.155700 | − | 0.269680i | ||||
\(661\) | 15.0000 | + | 25.9808i | 0.583432 | + | 1.01053i | 0.995069 | + | 0.0991864i | \(0.0316240\pi\) |
−0.411636 | + | 0.911348i | \(0.635043\pi\) | |||||||
\(662\) | −16.0000 | −0.621858 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −12.0000 | −0.465690 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 1.00000 | + | 1.73205i | 0.0387492 | + | 0.0671156i | ||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −8.00000 | −0.309529 | ||||||||
\(669\) | −2.00000 | + | 3.46410i | −0.0773245 | + | 0.133930i | ||||
\(670\) | −8.00000 | + | 13.8564i | −0.309067 | + | 0.535320i | ||||
\(671\) | 8.00000 | 0.308837 | ||||||||
\(672\) | −10.0000 | + | 17.3205i | −0.385758 | + | 0.668153i | ||||
\(673\) | 7.00000 | + | 12.1244i | 0.269830 | + | 0.467360i | 0.968818 | − | 0.247774i | \(-0.0796991\pi\) |
−0.698988 | + | 0.715134i | \(0.746366\pi\) | |||||||
\(674\) | 9.00000 | + | 15.5885i | 0.346667 | + | 0.600445i | ||||
\(675\) | 1.00000 | 0.0384900 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 22.0000 | 0.845529 | 0.422764 | − | 0.906240i | \(-0.361060\pi\) | ||||
0.422764 | + | 0.906240i | \(0.361060\pi\) | |||||||
\(678\) | 3.00000 | + | 5.19615i | 0.115214 | + | 0.199557i | ||||
\(679\) | 20.0000 | + | 34.6410i | 0.767530 | + | 1.32940i | ||||
\(680\) | 6.00000 | − | 10.3923i | 0.230089 | − | 0.398527i | ||||
\(681\) | −20.0000 | −0.766402 | ||||||||
\(682\) | 8.00000 | − | 13.8564i | 0.306336 | − | 0.530589i | ||||
\(683\) | −6.00000 | + | 10.3923i | −0.229584 | + | 0.397650i | −0.957685 | − | 0.287819i | \(-0.907070\pi\) |
0.728101 | + | 0.685470i | \(0.240403\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −6.00000 | + | 10.3923i | −0.229248 | + | 0.397070i | ||||
\(686\) | 4.00000 | + | 6.92820i | 0.152721 | + | 0.264520i | ||||
\(687\) | 5.00000 | + | 8.66025i | 0.190762 | + | 0.330409i | ||||
\(688\) | 12.0000 | 0.457496 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −12.0000 | − | 20.7846i | −0.456502 | − | 0.790684i | 0.542272 | − | 0.840203i | \(-0.317564\pi\) |
−0.998773 | + | 0.0495194i | \(0.984231\pi\) | |||||||
\(692\) | 3.00000 | + | 5.19615i | 0.114043 | + | 0.197528i | ||||
\(693\) | 8.00000 | − | 13.8564i | 0.303895 | − | 0.526361i | ||||
\(694\) | 12.0000 | 0.455514 | ||||||||
\(695\) | 12.0000 | − | 20.7846i | 0.455186 | − | 0.788405i | ||||
\(696\) | −15.0000 | + | 25.9808i | −0.568574 | + | 0.984798i | ||||
\(697\) | −12.0000 | −0.454532 | ||||||||
\(698\) | 13.0000 | − | 22.5167i | 0.492057 | − | 0.852268i | ||||
\(699\) | −7.00000 | − | 12.1244i | −0.264764 | − | 0.458585i | ||||
\(700\) | −2.00000 | − | 3.46410i | −0.0755929 | − | 0.130931i | ||||
\(701\) | −34.0000 | −1.28416 | −0.642081 | − | 0.766637i | \(-0.721929\pi\) | ||||
−0.642081 | + | 0.766637i | \(0.721929\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 14.0000 | + | 24.2487i | 0.527645 | + | 0.913908i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.00000 | − | 1.73205i | 0.0376355 | − | 0.0651866i | ||||
\(707\) | −72.0000 | −2.70784 | ||||||||
\(708\) | 6.00000 | − | 10.3923i | 0.225494 | − | 0.390567i | ||||
\(709\) | −13.0000 | + | 22.5167i | −0.488225 | + | 0.845631i | −0.999908 | − | 0.0135434i | \(-0.995689\pi\) |
0.511683 | + | 0.859174i | \(0.329022\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −4.00000 | + | 6.92820i | −0.150012 | + | 0.259828i | ||||
\(712\) | −3.00000 | − | 5.19615i | −0.112430 | − | 0.194734i | ||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 8.00000 | 0.299392 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −4.00000 | −0.149487 | ||||||||
\(717\) | 12.0000 | + | 20.7846i | 0.448148 | + | 0.776215i | ||||
\(718\) | −12.0000 | − | 20.7846i | −0.447836 | − | 0.775675i | ||||
\(719\) | 12.0000 | − | 20.7846i | 0.447524 | − | 0.775135i | −0.550700 | − | 0.834703i | \(-0.685639\pi\) |
0.998224 | + | 0.0595683i | \(0.0189724\pi\) | |||||||
\(720\) | 2.00000 | 0.0745356 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −9.50000 | + | 16.4545i | −0.353553 | + | 0.612372i | ||||
\(723\) | 10.0000 | 0.371904 | ||||||||
\(724\) | −5.00000 | + | 8.66025i | −0.185824 | + | 0.321856i | ||||
\(725\) | −5.00000 | − | 8.66025i | −0.185695 | − | 0.321634i | ||||
\(726\) | −2.50000 | − | 4.33013i | −0.0927837 | − | 0.160706i | ||||
\(727\) | 8.00000 | 0.296704 | 0.148352 | − | 0.988935i | \(-0.452603\pi\) | ||||
0.148352 | + | 0.988935i | \(0.452603\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 2.00000 | + | 3.46410i | 0.0740233 | + | 0.128212i | ||||
\(731\) | 12.0000 | + | 20.7846i | 0.443836 | + | 0.768747i | ||||
\(732\) | 1.00000 | − | 1.73205i | 0.0369611 | − | 0.0640184i | ||||
\(733\) | −30.0000 | −1.10808 | −0.554038 | − | 0.832492i | \(-0.686914\pi\) | ||||
−0.554038 | + | 0.832492i | \(0.686914\pi\) | |||||||
\(734\) | 8.00000 | − | 13.8564i | 0.295285 | − | 0.511449i | ||||
\(735\) | −9.00000 | + | 15.5885i | −0.331970 | + | 0.574989i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 16.0000 | − | 27.7128i | 0.589368 | − | 1.02081i | ||||
\(738\) | −3.00000 | − | 5.19615i | −0.110432 | − | 0.191273i | ||||
\(739\) | 16.0000 | + | 27.7128i | 0.588570 | + | 1.01943i | 0.994420 | + | 0.105493i | \(0.0336420\pi\) |
−0.405851 | + | 0.913939i | \(0.633025\pi\) | |||||||
\(740\) | 4.00000 | 0.147043 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −24.0000 | −0.881068 | ||||||||
\(743\) | 24.0000 | + | 41.5692i | 0.880475 | + | 1.52503i | 0.850814 | + | 0.525467i | \(0.176109\pi\) |
0.0296605 | + | 0.999560i | \(0.490557\pi\) | |||||||
\(744\) | −6.00000 | − | 10.3923i | −0.219971 | − | 0.381000i | ||||
\(745\) | 6.00000 | − | 10.3923i | 0.219823 | − | 0.380745i | ||||
\(746\) | 26.0000 | 0.951928 | ||||||||
\(747\) | 2.00000 | − | 3.46410i | 0.0731762 | − | 0.126745i | ||||
\(748\) | −4.00000 | + | 6.92820i | −0.146254 | + | 0.253320i | ||||
\(749\) | 48.0000 | 1.75388 | ||||||||
\(750\) | −6.00000 | + | 10.3923i | −0.219089 | + | 0.379473i | ||||
\(751\) | −4.00000 | − | 6.92820i | −0.145962 | − | 0.252814i | 0.783769 | − | 0.621052i | \(-0.213294\pi\) |
−0.929731 | + | 0.368238i | \(0.879961\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 12.0000 | 0.437304 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 8.00000 | 0.291150 | ||||||||
\(756\) | −2.00000 | − | 3.46410i | −0.0727393 | − | 0.125988i | ||||
\(757\) | −11.0000 | − | 19.0526i | −0.399802 | − | 0.692477i | 0.593899 | − | 0.804539i | \(-0.297588\pi\) |
−0.993701 | + | 0.112062i | \(0.964254\pi\) | |||||||
\(758\) | 12.0000 | − | 20.7846i | 0.435860 | − | 0.754931i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −5.00000 | + | 8.66025i | −0.181250 | + | 0.313934i | −0.942306 | − | 0.334752i | \(-0.891348\pi\) |
0.761057 | + | 0.648686i | \(0.224681\pi\) | |||||||
\(762\) | −16.0000 | −0.579619 | ||||||||
\(763\) | −4.00000 | + | 6.92820i | −0.144810 | + | 0.250818i | ||||
\(764\) | 4.00000 | + | 6.92820i | 0.144715 | + | 0.250654i | ||||
\(765\) | 2.00000 | + | 3.46410i | 0.0723102 | + | 0.125245i | ||||
\(766\) | −16.0000 | −0.578103 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 17.0000 | 0.613435 | ||||||||
\(769\) | −15.0000 | − | 25.9808i | −0.540914 | − | 0.936890i | −0.998852 | − | 0.0479061i | \(-0.984745\pi\) |
0.457938 | − | 0.888984i | \(-0.348588\pi\) | |||||||
\(770\) | 16.0000 | + | 27.7128i | 0.576600 | + | 0.998700i | ||||
\(771\) | 13.0000 | − | 22.5167i | 0.468184 | − | 0.810918i | ||||
\(772\) | 18.0000 | 0.647834 | ||||||||
\(773\) | 5.00000 | − | 8.66025i | 0.179838 | − | 0.311488i | −0.761987 | − | 0.647592i | \(-0.775776\pi\) |
0.941825 | + | 0.336104i | \(0.109109\pi\) | |||||||
\(774\) | −6.00000 | + | 10.3923i | −0.215666 | + | 0.373544i | ||||
\(775\) | 4.00000 | 0.143684 | ||||||||
\(776\) | 15.0000 | − | 25.9808i | 0.538469 | − | 0.932655i | ||||
\(777\) | 4.00000 | + | 6.92820i | 0.143499 | + | 0.248548i | ||||
\(778\) | 11.0000 | + | 19.0526i | 0.394369 | + | 0.683067i | ||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −5.00000 | − | 8.66025i | −0.178685 | − | 0.309492i | ||||
\(784\) | 4.50000 | − | 7.79423i | 0.160714 | − | 0.278365i | ||||
\(785\) | 36.0000 | 1.28490 | ||||||||
\(786\) | −2.00000 | + | 3.46410i | −0.0713376 | + | 0.123560i | ||||
\(787\) | −16.0000 | + | 27.7128i | −0.570338 | + | 0.987855i | 0.426193 | + | 0.904632i | \(0.359855\pi\) |
−0.996531 | + | 0.0832226i | \(0.973479\pi\) | |||||||
\(788\) | 18.0000 | 0.641223 | ||||||||
\(789\) | 12.0000 | − | 20.7846i | 0.427211 | − | 0.739952i | ||||
\(790\) | −8.00000 | − | 13.8564i | −0.284627 | − | 0.492989i | ||||
\(791\) | 12.0000 | + | 20.7846i | 0.426671 | + | 0.739016i | ||||
\(792\) | −12.0000 | −0.426401 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 38.0000 | 1.34857 | ||||||||
\(795\) | −6.00000 | − | 10.3923i | −0.212798 | − | 0.368577i | ||||
\(796\) | 4.00000 | + | 6.92820i | 0.141776 | + | 0.245564i | ||||
\(797\) | −23.0000 | + | 39.8372i | −0.814702 | + | 1.41110i | 0.0948400 | + | 0.995493i | \(0.469766\pi\) |
−0.909542 | + | 0.415612i | \(0.863567\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | −2.50000 | + | 4.33013i | −0.0883883 | + | 0.153093i | ||||
\(801\) | 2.00000 | 0.0706665 | ||||||||
\(802\) | −11.0000 | + | 19.0526i | −0.388424 | + | 0.672769i | ||||
\(803\) | −4.00000 | − | 6.92820i | −0.141157 | − | 0.244491i | ||||
\(804\) | −4.00000 | − | 6.92820i | −0.141069 | − | 0.244339i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −22.0000 | −0.774437 | ||||||||
\(808\) | 27.0000 | + | 46.7654i | 0.949857 | + | 1.64520i | ||||
\(809\) | 15.0000 | + | 25.9808i | 0.527372 | + | 0.913435i | 0.999491 | + | 0.0319002i | \(0.0101559\pi\) |
−0.472119 | + | 0.881535i | \(0.656511\pi\) | |||||||
\(810\) | −1.00000 | + | 1.73205i | −0.0351364 | + | 0.0608581i | ||||
\(811\) | −8.00000 | −0.280918 | −0.140459 | − | 0.990086i | \(-0.544858\pi\) | ||||
−0.140459 | + | 0.990086i | \(0.544858\pi\) | |||||||
\(812\) | −20.0000 | + | 34.6410i | −0.701862 | + | 1.21566i | ||||
\(813\) | 6.00000 | − | 10.3923i | 0.210429 | − | 0.364474i | ||||
\(814\) | 8.00000 | 0.280400 | ||||||||
\(815\) | −8.00000 | + | 13.8564i | −0.280228 | + | 0.485369i | ||||
\(816\) | −1.00000 | − | 1.73205i | −0.0350070 | − | 0.0606339i | ||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 34.0000 | 1.18878 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −12.0000 | −0.419058 | ||||||||
\(821\) | −11.0000 | − | 19.0526i | −0.383903 | − | 0.664939i | 0.607714 | − | 0.794156i | \(-0.292087\pi\) |
−0.991616 | + | 0.129217i | \(0.958754\pi\) | |||||||
\(822\) | 3.00000 | + | 5.19615i | 0.104637 | + | 0.181237i | ||||
\(823\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 2.00000 | − | 3.46410i | 0.0696311 | − | 0.120605i | ||||
\(826\) | −24.0000 | + | 41.5692i | −0.835067 | + | 1.44638i | ||||
\(827\) | −4.00000 | −0.139094 | −0.0695468 | − | 0.997579i | \(-0.522155\pi\) | ||||
−0.0695468 | + | 0.997579i | \(0.522155\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 17.0000 | + | 29.4449i | 0.590434 | + | 1.02266i | 0.994174 | + | 0.107788i | \(0.0343769\pi\) |
−0.403739 | + | 0.914874i | \(0.632290\pi\) | |||||||
\(830\) | 4.00000 | + | 6.92820i | 0.138842 | + | 0.240481i | ||||
\(831\) | 10.0000 | 0.346896 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 18.0000 | 0.623663 | ||||||||
\(834\) | −6.00000 | − | 10.3923i | −0.207763 | − | 0.359856i | ||||
\(835\) | 8.00000 | + | 13.8564i | 0.276851 | + | 0.479521i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 4.00000 | 0.138260 | ||||||||
\(838\) | 2.00000 | − | 3.46410i | 0.0690889 | − | 0.119665i | ||||
\(839\) | 24.0000 | − | 41.5692i | 0.828572 | − | 1.43513i | −0.0705865 | − | 0.997506i | \(-0.522487\pi\) |
0.899158 | − | 0.437623i | \(-0.144180\pi\) | |||||||
\(840\) | 24.0000 | 0.828079 | ||||||||
\(841\) | −35.5000 | + | 61.4878i | −1.22414 | + | 2.12027i | ||||
\(842\) | 5.00000 | + | 8.66025i | 0.172311 | + | 0.298452i | ||||
\(843\) | 5.00000 | + | 8.66025i | 0.172209 | + | 0.298275i | ||||
\(844\) | 20.0000 | 0.688428 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −10.0000 | − | 17.3205i | −0.343604 | − | 0.595140i | ||||
\(848\) | 3.00000 | + | 5.19615i | 0.103020 | + | 0.178437i | ||||
\(849\) | 6.00000 | − | 10.3923i | 0.205919 | − | 0.356663i | ||||
\(850\) | 2.00000 | 0.0685994 | ||||||||
\(851\) | 0 | 0 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −30.0000 | −1.02718 | −0.513590 | − | 0.858036i | \(-0.671685\pi\) | ||||
−0.513590 | + | 0.858036i | \(0.671685\pi\) | |||||||
\(854\) | −4.00000 | + | 6.92820i | −0.136877 | + | 0.237078i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −18.0000 | − | 31.1769i | −0.615227 | − | 1.06561i | ||||
\(857\) | −46.0000 | −1.57133 | −0.785665 | − | 0.618652i | \(-0.787679\pi\) | ||||
−0.785665 | + | 0.618652i | \(0.787679\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −44.0000 | −1.50126 | −0.750630 | − | 0.660722i | \(-0.770250\pi\) | ||||
−0.750630 | + | 0.660722i | \(0.770250\pi\) | |||||||
\(860\) | 12.0000 | + | 20.7846i | 0.409197 | + | 0.708749i | ||||
\(861\) | −12.0000 | − | 20.7846i | −0.408959 | − | 0.708338i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −16.0000 | −0.544646 | −0.272323 | − | 0.962206i | \(-0.587792\pi\) | ||||
−0.272323 | + | 0.962206i | \(0.587792\pi\) | |||||||
\(864\) | −2.50000 | + | 4.33013i | −0.0850517 | + | 0.147314i | ||||
\(865\) | 6.00000 | − | 10.3923i | 0.204006 | − | 0.353349i | ||||
\(866\) | −34.0000 | −1.15537 | ||||||||
\(867\) | −6.50000 | + | 11.2583i | −0.220752 | + | 0.382353i | ||||
\(868\) | −8.00000 | − | 13.8564i | −0.271538 | − | 0.470317i | ||||
\(869\) | 16.0000 | + | 27.7128i | 0.542763 | + | 0.940093i | ||||
\(870\) | 20.0000 | 0.678064 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 6.00000 | 0.203186 | ||||||||
\(873\) | 5.00000 | + | 8.66025i | 0.169224 | + | 0.293105i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −24.0000 | + | 41.5692i | −0.811348 | + | 1.40530i | ||||
\(876\) | −2.00000 | −0.0675737 | ||||||||
\(877\) | −5.00000 | + | 8.66025i | −0.168838 | + | 0.292436i | −0.938012 | − | 0.346604i | \(-0.887335\pi\) |
0.769174 | + | 0.639040i | \(0.220668\pi\) | |||||||
\(878\) | 16.0000 | − | 27.7128i | 0.539974 | − | 0.935262i | ||||
\(879\) | −6.00000 | −0.202375 | ||||||||
\(880\) | 4.00000 | − | 6.92820i | 0.134840 | − | 0.233550i | ||||
\(881\) | −29.0000 | − | 50.2295i | −0.977035 | − | 1.69227i | −0.673050 | − | 0.739597i | \(-0.735016\pi\) |
−0.303985 | − | 0.952677i | \(-0.598317\pi\) | |||||||
\(882\) | 4.50000 | + | 7.79423i | 0.151523 | + | 0.262445i | ||||
\(883\) | −44.0000 | −1.48072 | −0.740359 | − | 0.672212i | \(-0.765344\pi\) | ||||
−0.740359 | + | 0.672212i | \(0.765344\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −24.0000 | −0.806751 | ||||||||
\(886\) | −2.00000 | − | 3.46410i | −0.0671913 | − | 0.116379i | ||||
\(887\) | 24.0000 | + | 41.5692i | 0.805841 | + | 1.39576i | 0.915722 | + | 0.401813i | \(0.131620\pi\) |
−0.109881 | + | 0.993945i | \(0.535047\pi\) | |||||||
\(888\) | 3.00000 | − | 5.19615i | 0.100673 | − | 0.174371i | ||||
\(889\) | −64.0000 | −2.14649 | ||||||||
\(890\) | −2.00000 | + | 3.46410i | −0.0670402 | + | 0.116117i | ||||
\(891\) | 2.00000 | − | 3.46410i | 0.0670025 | − | 0.116052i | ||||
\(892\) | 4.00000 | 0.133930 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | −3.00000 | − | 5.19615i | −0.100335 | − | 0.173785i | ||||
\(895\) | 4.00000 | + | 6.92820i | 0.133705 | + | 0.231584i | ||||
\(896\) | 12.0000 | 0.400892 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 22.0000 | 0.734150 | ||||||||
\(899\) | −20.0000 | − | 34.6410i | −0.667037 | − | 1.15534i | ||||
\(900\) | −0.500000 | − | 0.866025i | −0.0166667 | − | 0.0288675i | ||||
\(901\) | −6.00000 | + | 10.3923i | −0.199889 | + | 0.346218i | ||||
\(902\) | −24.0000 | −0.799113 | ||||||||
\(903\) | −24.0000 | + | 41.5692i | −0.798670 | + | 1.38334i | ||||
\(904\) | 9.00000 | − | 15.5885i | 0.299336 | − | 0.518464i | ||||
\(905\) | 20.0000 | 0.664822 | ||||||||
\(906\) | 2.00000 | − | 3.46410i | 0.0664455 | − | 0.115087i | ||||
\(907\) | −6.00000 | − | 10.3923i | −0.199227 | − | 0.345071i | 0.749051 | − | 0.662512i | \(-0.230510\pi\) |
−0.948278 | + | 0.317441i | \(0.897176\pi\) | |||||||
\(908\) | 10.0000 | + | 17.3205i | 0.331862 | + | 0.574801i | ||||
\(909\) | −18.0000 | −0.597022 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −40.0000 | −1.32526 | −0.662630 | − | 0.748947i | \(-0.730560\pi\) | ||||
−0.662630 | + | 0.748947i | \(0.730560\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −8.00000 | − | 13.8564i | −0.264761 | − | 0.458580i | ||||
\(914\) | −1.00000 | + | 1.73205i | −0.0330771 | + | 0.0572911i | ||||
\(915\) | −4.00000 | −0.132236 | ||||||||
\(916\) | 5.00000 | − | 8.66025i | 0.165205 | − | 0.286143i | ||||
\(917\) | −8.00000 | + | 13.8564i | −0.264183 | + | 0.457579i | ||||
\(918\) | 2.00000 | 0.0660098 | ||||||||
\(919\) | 24.0000 | − | 41.5692i | 0.791687 | − | 1.37124i | −0.133235 | − | 0.991084i | \(-0.542536\pi\) |
0.924922 | − | 0.380158i | \(-0.124130\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 8.00000 | + | 13.8564i | 0.263609 | + | 0.456584i | ||||
\(922\) | −38.0000 | −1.25146 | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | −16.0000 | −0.526361 | ||||||||
\(925\) | 1.00000 | + | 1.73205i | 0.0328798 | + | 0.0569495i | ||||
\(926\) | −2.00000 | − | 3.46410i | −0.0657241 | − | 0.113837i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 50.0000 | 1.64133 | ||||||||
\(929\) | 15.0000 | − | 25.9808i | 0.492134 | − | 0.852401i | −0.507825 | − | 0.861460i | \(-0.669550\pi\) |
0.999959 | + | 0.00905914i | \(0.00288365\pi\) | |||||||
\(930\) | −4.00000 | + | 6.92820i | −0.131165 | + | 0.227185i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −7.00000 | + | 12.1244i | −0.229293 | + | 0.397146i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 6.00000 | + | 10.3923i | 0.196326 | + | 0.340047i | ||||
\(935\) | 16.0000 | 0.523256 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 26.0000 | 0.849383 | 0.424691 | − | 0.905338i | \(-0.360383\pi\) | ||||
0.424691 | + | 0.905338i | \(0.360383\pi\) | |||||||
\(938\) | 16.0000 | + | 27.7128i | 0.522419 | + | 0.904855i | ||||
\(939\) | −3.00000 | − | 5.19615i | −0.0979013 | − | 0.169570i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 14.0000 | 0.456387 | 0.228193 | − | 0.973616i | \(-0.426718\pi\) | ||||
0.228193 | + | 0.973616i | \(0.426718\pi\) | |||||||
\(942\) | 9.00000 | − | 15.5885i | 0.293236 | − | 0.507899i | ||||
\(943\) | 0 | 0 | ||||||||
\(944\) | 12.0000 | 0.390567 | ||||||||
\(945\) | −4.00000 | + | 6.92820i | −0.130120 | + | 0.225374i | ||||
\(946\) | 24.0000 | + | 41.5692i | 0.780307 | + | 1.35153i | ||||
\(947\) | −30.0000 | − | 51.9615i | −0.974869 | − | 1.68852i | −0.680367 | − | 0.732872i | \(-0.738179\pi\) |
−0.294502 | − | 0.955651i | \(-0.595154\pi\) | |||||||
\(948\) | 8.00000 | 0.259828 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −13.0000 | − | 22.5167i | −0.421554 | − | 0.730153i | ||||
\(952\) | −12.0000 | − | 20.7846i | −0.388922 | − | 0.673633i | ||||
\(953\) | 15.0000 | − | 25.9808i | 0.485898 | − | 0.841599i | −0.513971 | − | 0.857808i | \(-0.671826\pi\) |
0.999869 | + | 0.0162081i | \(0.00515944\pi\) | |||||||
\(954\) | −6.00000 | −0.194257 | ||||||||
\(955\) | 8.00000 | − | 13.8564i | 0.258874 | − | 0.448383i | ||||
\(956\) | 12.0000 | − | 20.7846i | 0.388108 | − | 0.672222i | ||||
\(957\) | −40.0000 | −1.29302 | ||||||||
\(958\) | 12.0000 | − | 20.7846i | 0.387702 | − | 0.671520i | ||||
\(959\) | 12.0000 | + | 20.7846i | 0.387500 | + | 0.671170i | ||||
\(960\) | −7.00000 | − | 12.1244i | −0.225924 | − | 0.391312i | ||||
\(961\) | −15.0000 | −0.483871 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 12.0000 | 0.386695 | ||||||||
\(964\) | −5.00000 | − | 8.66025i | −0.161039 | − | 0.278928i | ||||
\(965\) | −18.0000 | − | 31.1769i | −0.579441 | − | 1.00362i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 52.0000 | 1.67221 | 0.836104 | − | 0.548572i | \(-0.184828\pi\) | ||||
0.836104 | + | 0.548572i | \(0.184828\pi\) | |||||||
\(968\) | −7.50000 | + | 12.9904i | −0.241059 | + | 0.417527i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −20.0000 | −0.642161 | ||||||||
\(971\) | 30.0000 | − | 51.9615i | 0.962746 | − | 1.66752i | 0.247193 | − | 0.968966i | \(-0.420492\pi\) |
0.715553 | − | 0.698558i | \(-0.246175\pi\) | |||||||
\(972\) | −0.500000 | − | 0.866025i | −0.0160375 | − | 0.0277778i | ||||
\(973\) | −24.0000 | − | 41.5692i | −0.769405 | − | 1.33265i | ||||
\(974\) | 12.0000 | 0.384505 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 2.00000 | 0.0640184 | ||||||||
\(977\) | −21.0000 | − | 36.3731i | −0.671850 | − | 1.16368i | −0.977379 | − | 0.211495i | \(-0.932167\pi\) |
0.305530 | − | 0.952183i | \(-0.401167\pi\) | |||||||
\(978\) | 4.00000 | + | 6.92820i | 0.127906 | + | 0.221540i | ||||
\(979\) | 4.00000 | − | 6.92820i | 0.127841 | − | 0.221426i | ||||
\(980\) | 18.0000 | 0.574989 | ||||||||
\(981\) | −1.00000 | + | 1.73205i | −0.0319275 | + | 0.0553001i | ||||
\(982\) | −6.00000 | + | 10.3923i | −0.191468 | + | 0.331632i | ||||
\(983\) | −16.0000 | −0.510321 | −0.255160 | − | 0.966899i | \(-0.582128\pi\) | ||||
−0.255160 | + | 0.966899i | \(0.582128\pi\) | |||||||
\(984\) | −9.00000 | + | 15.5885i | −0.286910 | + | 0.496942i | ||||
\(985\) | −18.0000 | − | 31.1769i | −0.573528 | − | 0.993379i | ||||
\(986\) | −10.0000 | − | 17.3205i | −0.318465 | − | 0.551597i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 4.00000 | + | 6.92820i | 0.127128 | + | 0.220193i | ||||
\(991\) | −8.00000 | − | 13.8564i | −0.254128 | − | 0.440163i | 0.710530 | − | 0.703667i | \(-0.248455\pi\) |
−0.964658 | + | 0.263504i | \(0.915122\pi\) | |||||||
\(992\) | −10.0000 | + | 17.3205i | −0.317500 | + | 0.549927i | ||||
\(993\) | −16.0000 | −0.507745 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 8.00000 | − | 13.8564i | 0.253617 | − | 0.439278i | ||||
\(996\) | −4.00000 | −0.126745 | ||||||||
\(997\) | 13.0000 | − | 22.5167i | 0.411714 | − | 0.713110i | −0.583363 | − | 0.812211i | \(-0.698264\pi\) |
0.995077 | + | 0.0991016i | \(0.0315969\pi\) | |||||||
\(998\) | 12.0000 | + | 20.7846i | 0.379853 | + | 0.657925i | ||||
\(999\) | 1.00000 | + | 1.73205i | 0.0316386 | + | 0.0547997i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))