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 | 22.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 507.22 |
Dual form | 507.2.e.a.484.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | + | 0.866025i | −0.353553 | + | 0.612372i | −0.986869 | − | 0.161521i | \(-0.948360\pi\) |
0.633316 | + | 0.773893i | \(0.281693\pi\) | |||||||
\(3\) | 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 | \(-0.352416\pi\) | ||||
0.447214 | + | 0.894427i | \(0.352416\pi\) | |||||||
\(6\) | 0.500000 | + | 0.866025i | 0.204124 | + | 0.353553i | ||||
\(7\) | 2.00000 | + | 3.46410i | 0.755929 | + | 1.30931i | 0.944911 | + | 0.327327i | \(0.106148\pi\) |
−0.188982 | + | 0.981981i | \(0.560519\pi\) | |||||||
\(8\) | −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 | 0.389338 | + | 0.921095i | \(0.372704\pi\) |
−0.992361 | + | 0.123371i | \(0.960630\pi\) | |||||||
\(12\) | 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 | 0.718900 | − | 0.695113i | \(-0.244646\pi\) |
−0.961436 | + | 0.275029i | \(0.911312\pi\) | |||||||
\(18\) | 1.00000 | 0.235702 | ||||||||
\(19\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(20\) | 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 | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(24\) | −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 | 0.142605 | − | 0.989780i | \(-0.454452\pi\) |
0.785872 | − | 0.618389i | \(-0.212214\pi\) | |||||||
\(30\) | 1.00000 | + | 1.73205i | 0.182574 | + | 0.316228i | ||||
\(31\) | 4.00000 | 0.718421 | 0.359211 | − | 0.933257i | \(-0.383046\pi\) | ||||
0.359211 | + | 0.933257i | \(0.383046\pi\) | |||||||
\(32\) | −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 | \(-0.780765\pi\) |
0.936442 | + | 0.350823i | \(0.114098\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −6.00000 | −0.948683 | ||||||||
\(41\) | −3.00000 | + | 5.19615i | −0.468521 | + | 0.811503i | −0.999353 | − | 0.0359748i | \(-0.988546\pi\) |
0.530831 | + | 0.847477i | \(0.321880\pi\) | |||||||
\(42\) | −2.00000 | + | 3.46410i | −0.308607 | + | 0.534522i | ||||
\(43\) | 6.00000 | + | 10.3923i | 0.914991 | + | 1.58481i | 0.806914 | + | 0.590669i | \(0.201136\pi\) |
0.108078 | + | 0.994142i | \(0.465531\pi\) | |||||||
\(44\) | −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 | −0.931282 | − | 0.364299i | \(-0.881308\pi\) |
0.150148 | − | 0.988663i | \(-0.452025\pi\) | |||||||
\(60\) | 2.00000 | 0.258199 | ||||||||
\(61\) | 1.00000 | + | 1.73205i | 0.128037 | + | 0.221766i | 0.922916 | − | 0.385002i | \(-0.125799\pi\) |
−0.794879 | + | 0.606768i | \(0.792466\pi\) | |||||||
\(62\) | −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 | \(-0.670813\pi\) |
0.999915 | + | 0.0130248i | \(0.00414604\pi\) | |||||||
\(68\) | 1.00000 | − | 1.73205i | 0.121268 | − | 0.210042i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −8.00000 | −0.956183 | ||||||||
\(71\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(72\) | 1.50000 | + | 2.59808i | 0.176777 | + | 0.306186i | ||||
\(73\) | 2.00000 | 0.234082 | 0.117041 | − | 0.993127i | \(-0.462659\pi\) | ||||
0.117041 | + | 0.993127i | \(0.462659\pi\) | |||||||
\(74\) | 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 | \(-0.429548\pi\) | ||||
0.219529 | + | 0.975606i | \(0.429548\pi\) | |||||||
\(84\) | 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 | \(-0.799529\pi\) |
0.914146 | + | 0.405385i | \(0.132862\pi\) | |||||||
\(90\) | 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 | −0.999961 | − | 0.00888289i | \(-0.997172\pi\) |
0.492287 | − | 0.870433i | \(-0.336161\pi\) | |||||||
\(98\) | −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 | 0.0623905 | − | 0.998052i | \(-0.480128\pi\) |
0.833143 | − | 0.553058i | \(-0.186539\pi\) | |||||||
\(102\) | 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 | 0.415432 | + | 0.909624i | \(0.363630\pi\) |
−0.995474 | + | 0.0950377i | \(0.969703\pi\) | |||||||
\(108\) | −0.500000 | − | 0.866025i | −0.0481125 | − | 0.0833333i | ||||
\(109\) | −2.00000 | −0.191565 | −0.0957826 | − | 0.995402i | \(-0.530535\pi\) | ||||
−0.0957826 | + | 0.995402i | \(0.530535\pi\) | |||||||
\(110\) | −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 | 0.971930 | − | 0.235269i | \(-0.0755971\pi\) |
−0.689714 | + | 0.724082i | \(0.742264\pi\) | |||||||
\(114\) | 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 | −0.255014 | − | 0.966937i | \(-0.582080\pi\) |
0.964899 | − | 0.262620i | \(-0.0845865\pi\) | |||||||
\(128\) | 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 | \(-0.249173\pi\) |
−0.965250 | + | 0.261329i | \(0.915839\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.00000 | − | 10.3923i | −0.508913 | − | 0.881464i | −0.999947 | − | 0.0103230i | \(-0.996714\pi\) |
0.491033 | − | 0.871141i | \(-0.336619\pi\) | |||||||
\(140\) | −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 | \(-0.0876260\pi\) |
−0.716578 | + | 0.697507i | \(0.754293\pi\) | |||||||
\(150\) | −0.500000 | − | 0.866025i | −0.0408248 | − | 0.0707107i | ||||
\(151\) | 4.00000 | 0.325515 | 0.162758 | − | 0.986666i | \(-0.447961\pi\) | ||||
0.162758 | + | 0.986666i | \(0.447961\pi\) | |||||||
\(152\) | 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 | \(-0.268103\pi\) |
−0.979076 | + | 0.203497i | \(0.934769\pi\) | |||||||
\(164\) | −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 | \(-0.733162\pi\) |
0.978259 | + | 0.207385i | \(0.0664952\pi\) | |||||||
\(168\) | −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 | 0.729155 | − | 0.684349i | \(-0.239913\pi\) |
−0.957241 | + | 0.289292i | \(0.906580\pi\) | |||||||
\(174\) | 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 | −0.931038 | − | 0.364922i | \(-0.881096\pi\) |
0.781551 | + | 0.623841i | \(0.214429\pi\) | |||||||
\(180\) | 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 | 0.684244 | − | 0.729253i | \(-0.260132\pi\) |
−0.973674 | + | 0.227946i | \(0.926799\pi\) | |||||||
\(192\) | 3.50000 | − | 6.06218i | 0.252591 | − | 0.437500i | ||||
\(193\) | −9.00000 | + | 15.5885i | −0.647834 | + | 1.12208i | 0.335805 | + | 0.941932i | \(0.390992\pi\) |
−0.983639 | + | 0.180150i | \(0.942342\pi\) | |||||||
\(194\) | 10.0000 | 0.717958 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −9.00000 | −0.642857 | ||||||||
\(197\) | −9.00000 | + | 15.5885i | −0.641223 | + | 1.11063i | 0.343937 | + | 0.938993i | \(0.388239\pi\) |
−0.985160 | + | 0.171639i | \(0.945094\pi\) | |||||||
\(198\) | −2.00000 | + | 3.46410i | −0.142134 | + | 0.246183i | ||||
\(199\) | −4.00000 | − | 6.92820i | −0.283552 | − | 0.491127i | 0.688705 | − | 0.725042i | \(-0.258180\pi\) |
−0.972257 | + | 0.233915i | \(0.924846\pi\) | |||||||
\(200\) | 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 | −0.283918 | − | 0.958849i | \(-0.591634\pi\) |
0.972346 | − | 0.233544i | \(-0.0750324\pi\) | |||||||
\(212\) | 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 | \(-0.876093\pi\) |
0.791258 | + | 0.611482i | \(0.209426\pi\) | |||||||
\(224\) | 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 | 0.979630 | + | 0.200812i | \(0.0643581\pi\) |
−0.315906 | + | 0.948790i | \(0.602309\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −10.0000 | −0.660819 | −0.330409 | − | 0.943838i | \(-0.607187\pi\) | ||||
−0.330409 | + | 0.943838i | \(0.607187\pi\) | |||||||
\(230\) | 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 | \(-0.782863\pi\) | ||||
−0.776215 | + | 0.630468i | \(0.782863\pi\) | |||||||
\(240\) | −1.00000 | − | 1.73205i | −0.0645497 | − | 0.111803i | ||||
\(241\) | −5.00000 | − | 8.66025i | −0.322078 | − | 0.557856i | 0.658838 | − | 0.752285i | \(-0.271048\pi\) |
−0.980917 | + | 0.194429i | \(0.937715\pi\) | |||||||
\(242\) | 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 | 0.990876 | − | 0.134778i | \(-0.0430322\pi\) |
−0.612159 | + | 0.790735i | \(0.709699\pi\) | |||||||
\(252\) | 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 | 0.101305 | + | 0.994855i | \(0.467698\pi\) |
−0.912222 | + | 0.409695i | \(0.865635\pi\) | |||||||
\(258\) | −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 | 0.212565 | + | 0.977147i | \(0.431818\pi\) |
−0.952517 | + | 0.304487i | \(0.901515\pi\) | |||||||
\(264\) | −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 | −0.977711 | − | 0.209955i | \(-0.932668\pi\) |
0.307029 | − | 0.951700i | \(-0.400665\pi\) | |||||||
\(270\) | 1.00000 | − | 1.73205i | 0.0608581 | − | 0.105409i | ||||
\(271\) | 6.00000 | − | 10.3923i | 0.364474 | − | 0.631288i | −0.624218 | − | 0.781251i | \(-0.714582\pi\) |
0.988692 | + | 0.149963i | \(0.0479155\pi\) | |||||||
\(272\) | −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 | 0.976231 | − | 0.216731i | \(-0.0695395\pi\) |
−0.675810 | + | 0.737075i | \(0.736206\pi\) | |||||||
\(278\) | 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 | \(-0.596411\pi\) | ||||
−0.298275 | + | 0.954480i | \(0.596411\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −6.00000 | + | 10.3923i | −0.356663 | + | 0.617758i | −0.987401 | − | 0.158237i | \(-0.949419\pi\) |
0.630738 | + | 0.775996i | \(0.282752\pi\) | |||||||
\(284\) | 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 | \(-0.110589\pi\) |
−0.764990 | + | 0.644042i | \(0.777256\pi\) | |||||||
\(294\) | −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 | \(-0.650927\pi\) | ||||
−0.456584 | + | 0.889680i | \(0.650927\pi\) | |||||||
\(308\) | −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 | \(-0.239449\pi\) | ||||
0.730153 | + | 0.683284i | \(0.239449\pi\) | |||||||
\(318\) | 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 | \(-0.0217444\pi\) |
−0.557948 | + | 0.829876i | \(0.688411\pi\) | |||||||
\(332\) | 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 | 0.980921 | − | 0.194409i | \(-0.0622790\pi\) |
−0.658824 | + | 0.752297i | \(0.728946\pi\) | |||||||
\(348\) | 5.00000 | − | 8.66025i | 0.268028 | − | 0.464238i | ||||
\(349\) | 13.0000 | − | 22.5167i | 0.695874 | − | 1.20529i | −0.274011 | − | 0.961727i | \(-0.588351\pi\) |
0.969885 | − | 0.243563i | \(-0.0783162\pi\) | |||||||
\(350\) | 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 | \(-0.816383\pi\) |
0.891410 | + | 0.453197i | \(0.149717\pi\) | |||||||
\(354\) | 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 | \(-0.281685\pi\) | ||||
0.633336 | + | 0.773877i | \(0.281685\pi\) | |||||||
\(360\) | 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 | −0.995697 | − | 0.0926670i | \(-0.970461\pi\) |
0.578101 | + | 0.815966i | \(0.303794\pi\) | |||||||
\(368\) | 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 | 0.977016 | + | 0.213165i | \(0.0683772\pi\) |
−0.303902 | + | 0.952703i | \(0.598289\pi\) | |||||||
\(374\) | −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 | −0.373739 | − | 0.927534i | \(-0.621924\pi\) |
0.990137 | − | 0.140100i | \(-0.0447423\pi\) | |||||||
\(380\) | 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 | \(-0.0326207\pi\) |
−0.585973 | + | 0.810331i | \(0.699287\pi\) | |||||||
\(384\) | −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 | −0.737579 | − | 0.675261i | \(-0.764031\pi\) |
−0.216004 | − | 0.976392i | \(-0.569302\pi\) | |||||||
\(398\) | 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 | 0.449008 | + | 0.893528i | \(0.351777\pi\) |
−0.998322 | + | 0.0579116i | \(0.981556\pi\) | |||||||
\(402\) | 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 | −0.889392 | − | 0.457146i | \(-0.848872\pi\) |
0.0487958 | − | 0.998809i | \(-0.484462\pi\) | |||||||
\(410\) | −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 | −0.910735 | − | 0.412991i | \(-0.864484\pi\) |
0.813029 | + | 0.582224i | \(0.197817\pi\) | |||||||
\(420\) | 4.00000 | + | 6.92820i | 0.195180 | + | 0.338062i | ||||
\(421\) | −10.0000 | −0.487370 | −0.243685 | − | 0.969854i | \(-0.578356\pi\) | ||||
−0.243685 | + | 0.969854i | \(0.578356\pi\) | |||||||
\(422\) | 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 | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(432\) | −0.500000 | + | 0.866025i | −0.0240563 | + | 0.0416667i | ||||
\(433\) | −17.0000 | − | 29.4449i | −0.816968 | − | 1.41503i | −0.907906 | − | 0.419173i | \(-0.862320\pi\) |
0.0909384 | − | 0.995857i | \(-0.471013\pi\) | |||||||
\(434\) | −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 | 0.177325 | + | 0.984152i | \(0.443256\pi\) |
−0.940963 | + | 0.338508i | \(0.890078\pi\) | |||||||
\(440\) | 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 | −0.999753 | − | 0.0222229i | \(-0.992926\pi\) |
0.480631 | − | 0.876923i | \(-0.340408\pi\) | |||||||
\(450\) | −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 | \(-0.848229\pi\) |
0.841688 | + | 0.539964i | \(0.181562\pi\) | |||||||
\(458\) | 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 | 0.845807 | + | 0.533488i | \(0.179119\pi\) |
0.0391109 | + | 0.999235i | \(0.487547\pi\) | |||||||
\(462\) | −8.00000 | − | 13.8564i | −0.372194 | − | 0.644658i | ||||
\(463\) | 4.00000 | 0.185896 | 0.0929479 | − | 0.995671i | \(-0.470371\pi\) | ||||
0.0929479 | + | 0.995671i | \(0.470371\pi\) | |||||||
\(464\) | −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 | −0.450098 | − | 0.892979i | \(-0.648611\pi\) |
0.998392 | − | 0.0566937i | \(-0.0180558\pi\) | |||||||
\(480\) | −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 | \(-0.254314\pi\) |
−0.969345 | + | 0.245705i | \(0.920981\pi\) | |||||||
\(488\) | −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 | −0.698285 | − | 0.715820i | \(-0.746053\pi\) |
0.969061 | + | 0.246822i | \(0.0793863\pi\) | |||||||
\(492\) | −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 | \(-0.680516\pi\) | ||||
−0.537194 | + | 0.843459i | \(0.680516\pi\) | |||||||
\(500\) | −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 | 0.941316 | − | 0.337527i | \(-0.109590\pi\) |
−0.762965 | + | 0.646440i | \(0.776257\pi\) | |||||||
\(504\) | −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 | \(-0.904468\pi\) |
0.733679 | + | 0.679496i | \(0.237801\pi\) | |||||||
\(510\) | 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 | −0.244507 | + | 0.969648i | \(0.578626\pi\) |
−0.717486 | + | 0.696573i | \(0.754707\pi\) | |||||||
\(524\) | 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 | \(-0.276899\pi\) | ||||
0.644900 | + | 0.764267i | \(0.276899\pi\) | |||||||
\(542\) | 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 | \(-0.957871\pi\) |
0.609912 | + | 0.792469i | \(0.291205\pi\) | |||||||
\(558\) | 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 | 0.964315 | − | 0.264758i | \(-0.0852922\pi\) |
−0.711445 | + | 0.702742i | \(0.751959\pi\) | |||||||
\(564\) | 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 | 0.251172 | + | 0.967943i | \(0.419184\pi\) |
−0.963849 | + | 0.266450i | \(0.914149\pi\) | |||||||
\(570\) | 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 | \(-0.906868\pi\) | ||||
−0.957503 | + | 0.288425i | \(0.906868\pi\) | |||||||
\(578\) | 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 | 0.417885 | + | 0.908500i | \(0.362772\pi\) |
−0.995726 | + | 0.0923513i | \(0.970562\pi\) | |||||||
\(588\) | −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 | \(-0.679254\pi\) | ||||
−0.533846 | + | 0.845582i | \(0.679254\pi\) | |||||||
\(594\) | 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 | −0.159754 | − | 0.987157i | \(-0.551070\pi\) |
0.934780 | − | 0.355228i | \(-0.115597\pi\) | |||||||
\(602\) | −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 | 0.981454 | − | 0.191700i | \(-0.0614000\pi\) |
−0.656744 | + | 0.754114i | \(0.728067\pi\) | |||||||
\(608\) | 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 | \(-0.820473\pi\) |
0.885514 | + | 0.464614i | \(0.153807\pi\) | |||||||
\(614\) | 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 | \(-0.312697\pi\) |
−0.997899 | + | 0.0647859i | \(0.979364\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 24.0000 | 0.964641 | 0.482321 | − | 0.875995i | \(-0.339794\pi\) | ||||
0.482321 | + | 0.875995i | \(0.339794\pi\) | |||||||
\(620\) | 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 | \(-0.296995\pi\) |
−0.993491 | + | 0.113913i | \(0.963661\pi\) | |||||||
\(632\) | −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 | 0.845601 | − | 0.533816i | \(-0.179242\pi\) |
−0.885098 | + | 0.465404i | \(0.845909\pi\) | |||||||
\(642\) | −12.0000 | −0.473602 | ||||||||
\(643\) | 20.0000 | + | 34.6410i | 0.788723 | + | 1.36611i | 0.926750 | + | 0.375680i | \(0.122591\pi\) |
−0.138027 | + | 0.990429i | \(0.544076\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 24.0000 | 0.944999 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 4.00000 | − | 6.92820i | 0.157256 | − | 0.272376i | −0.776622 | − | 0.629967i | \(-0.783068\pi\) |
0.933878 | + | 0.357591i | \(0.116402\pi\) | |||||||
\(648\) | 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 | −0.918736 | − | 0.394872i | \(-0.870789\pi\) |
0.801337 | + | 0.598213i | \(0.204122\pi\) | |||||||
\(654\) | −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 | −0.998584 | − | 0.0531977i | \(-0.983059\pi\) |
0.453221 | − | 0.891398i | \(-0.350275\pi\) | |||||||
\(660\) | −4.00000 | + | 6.92820i | −0.155700 | + | 0.269680i | ||||
\(661\) | −15.0000 | + | 25.9808i | −0.583432 | + | 1.01053i | 0.411636 | + | 0.911348i | \(0.364957\pi\) |
−0.995069 | + | 0.0991864i | \(0.968376\pi\) | |||||||
\(662\) | −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 | −0.698988 | − | 0.715134i | \(-0.746366\pi\) |
0.968818 | + | 0.247774i | \(0.0796991\pi\) | |||||||
\(674\) | −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 | \(-0.0929302\pi\) |
−0.728101 | + | 0.685470i | \(0.759597\pi\) | |||||||
\(684\) | 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 | \(-0.682436\pi\) |
0.998773 | + | 0.0495194i | \(0.0157690\pi\) | |||||||
\(692\) | 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 | \(-0.00431112\pi\) |
−0.511683 | + | 0.859174i | \(0.670978\pi\) | |||||||
\(710\) | 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 | 0.998224 | − | 0.0595683i | \(-0.0189724\pi\) |
−0.550700 | + | 0.834703i | \(0.685639\pi\) | |||||||
\(720\) | −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 | \(-0.313086\pi\) | ||||
0.554038 | + | 0.832492i | \(0.313086\pi\) | |||||||
\(734\) | −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 | 0.405851 | + | 0.913939i | \(0.366975\pi\) |
−0.994420 | + | 0.105493i | \(0.966358\pi\) | |||||||
\(740\) | 4.00000 | 0.147043 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −24.0000 | −0.881068 | ||||||||
\(743\) | −24.0000 | + | 41.5692i | −0.880475 | + | 1.52503i | −0.0296605 | + | 0.999560i | \(0.509443\pi\) |
−0.850814 | + | 0.525467i | \(0.823891\pi\) | |||||||
\(744\) | −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 | −0.929731 | − | 0.368238i | \(-0.879961\pi\) |
0.783769 | + | 0.621052i | \(0.213294\pi\) | |||||||
\(752\) | 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 | −0.993701 | − | 0.112062i | \(-0.964254\pi\) |
0.593899 | + | 0.804539i | \(0.297588\pi\) | |||||||
\(758\) | 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 | \(-0.108652\pi\) |
−0.761057 | + | 0.648686i | \(0.775319\pi\) | |||||||
\(762\) | 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 | −0.457938 | − | 0.888984i | \(-0.651412\pi\) |
0.998852 | − | 0.0479061i | \(-0.0152548\pi\) | |||||||
\(770\) | 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 | \(-0.224224\pi\) |
−0.941825 | + | 0.336104i | \(0.890891\pi\) | |||||||
\(774\) | 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 | 0.996531 | + | 0.0832226i | \(0.0265213\pi\) |
−0.426193 | + | 0.904632i | \(0.640145\pi\) | |||||||
\(788\) | −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 | −0.909542 | − | 0.415612i | \(-0.863567\pi\) |
0.0948400 | − | 0.995493i | \(-0.469766\pi\) | |||||||
\(798\) | 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 | −0.472119 | − | 0.881535i | \(-0.656511\pi\) |
0.999491 | − | 0.0319002i | \(-0.0101559\pi\) | |||||||
\(810\) | −1.00000 | − | 1.73205i | −0.0351364 | − | 0.0608581i | ||||
\(811\) | 8.00000 | 0.280918 | 0.140459 | − | 0.990086i | \(-0.455142\pi\) | ||||
0.140459 | + | 0.990086i | \(0.455142\pi\) | |||||||
\(812\) | 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 | \(-0.707913\pi\) |
0.991616 | + | 0.129217i | \(0.0412465\pi\) | |||||||
\(822\) | 3.00000 | − | 5.19615i | 0.104637 | − | 0.181237i | ||||
\(823\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(824\) | 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 | \(-0.477845\pi\) | ||||
0.0695468 | + | 0.997579i | \(0.477845\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 17.0000 | − | 29.4449i | 0.590434 | − | 1.02266i | −0.403739 | − | 0.914874i | \(-0.632290\pi\) |
0.994174 | − | 0.107788i | \(-0.0343769\pi\) | |||||||
\(830\) | −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 | −0.899158 | − | 0.437623i | \(-0.855820\pi\) |
0.0705865 | − | 0.997506i | \(-0.477513\pi\) | |||||||
\(840\) | −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 | \(-0.328315\pi\) | ||||
0.513590 | + | 0.858036i | \(0.328315\pi\) | |||||||
\(854\) | −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 | \(-0.412208\pi\) | ||||
0.272323 | + | 0.962206i | \(0.412208\pi\) | |||||||
\(864\) | 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 | \(-0.112665\pi\) |
−0.769174 | + | 0.639040i | \(0.779332\pi\) | |||||||
\(878\) | −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 | −0.303985 | + | 0.952677i | \(0.598317\pi\) |
−0.673050 | + | 0.739597i | \(0.735016\pi\) | |||||||
\(882\) | −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 | −0.109881 | − | 0.993945i | \(-0.535047\pi\) |
0.915722 | − | 0.401813i | \(-0.131620\pi\) | |||||||
\(888\) | 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 | −0.948278 | − | 0.317441i | \(-0.897176\pi\) |
0.749051 | + | 0.662512i | \(0.230510\pi\) | |||||||
\(908\) | −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 | 0.924922 | + | 0.380158i | \(0.124130\pi\) |
−0.133235 | + | 0.991084i | \(0.542536\pi\) | |||||||
\(920\) | 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 | \(-0.330450\pi\) |
−0.999959 | + | 0.00905914i | \(0.997116\pi\) | |||||||
\(930\) | 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 | \(-0.573282\pi\) | ||||
−0.228193 | + | 0.973616i | \(0.573282\pi\) | |||||||
\(942\) | −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 | 0.294502 | − | 0.955651i | \(-0.404846\pi\) |
0.680367 | − | 0.732872i | \(-0.261821\pi\) | |||||||
\(948\) | 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 | 0.999869 | − | 0.0162081i | \(-0.00515944\pi\) |
−0.513971 | + | 0.857808i | \(0.671826\pi\) | |||||||
\(954\) | 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 | \(-0.815172\pi\) | ||||
−0.836104 | + | 0.548572i | \(0.815172\pi\) | |||||||
\(968\) | 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 | 0.715553 | + | 0.698558i | \(0.246175\pi\) |
0.247193 | + | 0.968966i | \(0.420492\pi\) | |||||||
\(972\) | −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 | −0.305530 | − | 0.952183i | \(-0.598833\pi\) |
0.977379 | − | 0.211495i | \(-0.0678332\pi\) | |||||||
\(978\) | 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 | \(-0.417872\pi\) | ||||
0.255160 | + | 0.966899i | \(0.417872\pi\) | |||||||
\(984\) | −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 | −0.964658 | − | 0.263504i | \(-0.915122\pi\) |
0.710530 | + | 0.703667i | \(0.248455\pi\) | |||||||
\(992\) | −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 | 0.995077 | − | 0.0991016i | \(-0.0315969\pi\) |
−0.583363 | + | 0.812211i | \(0.698264\pi\) | |||||||
\(998\) | 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 \(a_p\))