Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [507,2,Mod(316,507)]
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, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("507.316");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 507 = 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 507.j (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.04841538248\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 39) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 316.2 | ||
Root | \(0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 507.316 |
Dual form | 507.2.j.e.361.2 |
$q$-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 \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | + | 0.500000i | 0.612372 | + | 0.353553i | 0.773893 | − | 0.633316i | \(-0.218307\pi\) |
−0.161521 | + | 0.986869i | \(0.551640\pi\) | |||||||
\(3\) | 0.500000 | − | 0.866025i | 0.288675 | − | 0.500000i | ||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | − | 2.00000i | − | 0.894427i | −0.894427 | − | 0.447214i | \(-0.852416\pi\) | ||
0.894427 | − | 0.447214i | \(-0.147584\pi\) | |||||||
\(6\) | 0.866025 | − | 0.500000i | 0.353553 | − | 0.204124i | ||||
\(7\) | −3.46410 | + | 2.00000i | −1.30931 | + | 0.755929i | −0.981981 | − | 0.188982i | \(-0.939481\pi\) |
−0.327327 | + | 0.944911i | \(0.606148\pi\) | |||||||
\(8\) | − | 3.00000i | − | 1.06066i | ||||||
\(9\) | −0.500000 | − | 0.866025i | −0.166667 | − | 0.288675i | ||||
\(10\) | 1.00000 | − | 1.73205i | 0.316228 | − | 0.547723i | ||||
\(11\) | −3.46410 | − | 2.00000i | −1.04447 | − | 0.603023i | −0.123371 | − | 0.992361i | \(-0.539370\pi\) |
−0.921095 | + | 0.389338i | \(0.872704\pi\) | |||||||
\(12\) | −1.00000 | −0.288675 | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | −4.00000 | −1.06904 | ||||||||
\(15\) | −1.73205 | − | 1.00000i | −0.447214 | − | 0.258199i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 1.00000 | + | 1.73205i | 0.242536 | + | 0.420084i | 0.961436 | − | 0.275029i | \(-0.0886875\pi\) |
−0.718900 | + | 0.695113i | \(0.755354\pi\) | |||||||
\(18\) | − | 1.00000i | − | 0.235702i | ||||||
\(19\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(20\) | −1.73205 | + | 1.00000i | −0.387298 | + | 0.223607i | ||||
\(21\) | 4.00000i | 0.872872i | ||||||||
\(22\) | −2.00000 | − | 3.46410i | −0.426401 | − | 0.738549i | ||||
\(23\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(24\) | −2.59808 | − | 1.50000i | −0.530330 | − | 0.306186i | ||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 3.46410 | + | 2.00000i | 0.654654 | + | 0.377964i | ||||
\(29\) | 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 | ||||
\(31\) | − | 4.00000i | − | 0.718421i | −0.933257 | − | 0.359211i | \(-0.883046\pi\) | ||
0.933257 | − | 0.359211i | \(-0.116954\pi\) | |||||||
\(32\) | −4.33013 | + | 2.50000i | −0.765466 | + | 0.441942i | ||||
\(33\) | −3.46410 | + | 2.00000i | −0.603023 | + | 0.348155i | ||||
\(34\) | 2.00000i | 0.342997i | ||||||||
\(35\) | 4.00000 | + | 6.92820i | 0.676123 | + | 1.17108i | ||||
\(36\) | −0.500000 | + | 0.866025i | −0.0833333 | + | 0.144338i | ||||
\(37\) | 1.73205 | + | 1.00000i | 0.284747 | + | 0.164399i | 0.635571 | − | 0.772043i | \(-0.280765\pi\) |
−0.350823 | + | 0.936442i | \(0.614098\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −6.00000 | −0.948683 | ||||||||
\(41\) | 5.19615 | + | 3.00000i | 0.811503 | + | 0.468521i | 0.847477 | − | 0.530831i | \(-0.178120\pi\) |
−0.0359748 | + | 0.999353i | \(0.511454\pi\) | |||||||
\(42\) | −2.00000 | + | 3.46410i | −0.308607 | + | 0.534522i | ||||
\(43\) | −6.00000 | − | 10.3923i | −0.914991 | − | 1.58481i | −0.806914 | − | 0.590669i | \(-0.798864\pi\) |
−0.108078 | − | 0.994142i | \(-0.534469\pi\) | |||||||
\(44\) | 4.00000i | 0.603023i | ||||||||
\(45\) | −1.73205 | + | 1.00000i | −0.258199 | + | 0.149071i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(48\) | −0.500000 | − | 0.866025i | −0.0721688 | − | 0.125000i | ||||
\(49\) | 4.50000 | − | 7.79423i | 0.642857 | − | 1.11346i | ||||
\(50\) | 0.866025 | + | 0.500000i | 0.122474 | + | 0.0707107i | ||||
\(51\) | 2.00000 | 0.280056 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 6.00000 | 0.824163 | 0.412082 | − | 0.911147i | \(-0.364802\pi\) | ||||
0.412082 | + | 0.911147i | \(0.364802\pi\) | |||||||
\(54\) | −0.866025 | − | 0.500000i | −0.117851 | − | 0.0680414i | ||||
\(55\) | −4.00000 | + | 6.92820i | −0.539360 | + | 0.934199i | ||||
\(56\) | 6.00000 | + | 10.3923i | 0.801784 | + | 1.38873i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 8.66025 | − | 5.00000i | 1.13715 | − | 0.656532i | ||||
\(59\) | 10.3923 | − | 6.00000i | 1.35296 | − | 0.781133i | 0.364299 | − | 0.931282i | \(-0.381308\pi\) |
0.988663 | + | 0.150148i | \(0.0479752\pi\) | |||||||
\(60\) | 2.00000i | 0.258199i | ||||||||
\(61\) | 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 | ||||
\(63\) | 3.46410 | + | 2.00000i | 0.436436 | + | 0.251976i | ||||
\(64\) | −7.00000 | −0.875000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −4.00000 | −0.492366 | ||||||||
\(67\) | −6.92820 | − | 4.00000i | −0.846415 | − | 0.488678i | 0.0130248 | − | 0.999915i | \(-0.495854\pi\) |
−0.859440 | + | 0.511237i | \(0.829187\pi\) | |||||||
\(68\) | 1.00000 | − | 1.73205i | 0.121268 | − | 0.210042i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 8.00000i | 0.956183i | ||||||||
\(71\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(72\) | −2.59808 | + | 1.50000i | −0.306186 | + | 0.176777i | ||||
\(73\) | 2.00000i | 0.234082i | 0.993127 | + | 0.117041i | \(0.0373409\pi\) | ||||
−0.993127 | + | 0.117041i | \(0.962659\pi\) | |||||||
\(74\) | 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 | \(0.351411\pi\) | |||||||
\(80\) | −1.73205 | − | 1.00000i | −0.193649 | − | 0.111803i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 3.00000 | + | 5.19615i | 0.331295 | + | 0.573819i | ||||
\(83\) | − | 4.00000i | − | 0.439057i | −0.975606 | − | 0.219529i | \(-0.929548\pi\) | ||
0.975606 | − | 0.219529i | \(-0.0704519\pi\) | |||||||
\(84\) | 3.46410 | − | 2.00000i | 0.377964 | − | 0.218218i | ||||
\(85\) | 3.46410 | − | 2.00000i | 0.375735 | − | 0.216930i | ||||
\(86\) | − | 12.0000i | − | 1.29399i | ||||||
\(87\) | −5.00000 | − | 8.66025i | −0.536056 | − | 0.928477i | ||||
\(88\) | −6.00000 | + | 10.3923i | −0.639602 | + | 1.10782i | ||||
\(89\) | 1.73205 | + | 1.00000i | 0.183597 | + | 0.106000i | 0.588982 | − | 0.808146i | \(-0.299529\pi\) |
−0.405385 | + | 0.914146i | \(0.632862\pi\) | |||||||
\(90\) | −2.00000 | −0.210819 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −3.46410 | − | 2.00000i | −0.359211 | − | 0.207390i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 5.00000i | 0.510310i | ||||||||
\(97\) | −8.66025 | + | 5.00000i | −0.879316 | + | 0.507673i | −0.870433 | − | 0.492287i | \(-0.836161\pi\) |
−0.00888289 | + | 0.999961i | \(0.502828\pi\) | |||||||
\(98\) | 7.79423 | − | 4.50000i | 0.787336 | − | 0.454569i | ||||
\(99\) | 4.00000i | 0.402015i | ||||||||
\(100\) | −0.500000 | − | 0.866025i | −0.0500000 | − | 0.0866025i | ||||
\(101\) | −9.00000 | + | 15.5885i | −0.895533 | + | 1.55111i | −0.0623905 | + | 0.998052i | \(0.519872\pi\) |
−0.833143 | + | 0.553058i | \(0.813461\pi\) | |||||||
\(102\) | 1.73205 | + | 1.00000i | 0.171499 | + | 0.0990148i | ||||
\(103\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 8.00000 | 0.780720 | ||||||||
\(106\) | 5.19615 | + | 3.00000i | 0.504695 | + | 0.291386i | ||||
\(107\) | −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 | ||||
\(109\) | 2.00000i | 0.191565i | 0.995402 | + | 0.0957826i | \(0.0305354\pi\) | ||||
−0.995402 | + | 0.0957826i | \(0.969465\pi\) | |||||||
\(110\) | −6.92820 | + | 4.00000i | −0.660578 | + | 0.381385i | ||||
\(111\) | 1.73205 | − | 1.00000i | 0.164399 | − | 0.0949158i | ||||
\(112\) | 4.00000i | 0.377964i | ||||||||
\(113\) | 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 | ||||||||
\(119\) | −6.92820 | − | 4.00000i | −0.635107 | − | 0.366679i | ||||
\(120\) | −3.00000 | + | 5.19615i | −0.273861 | + | 0.474342i | ||||
\(121\) | 2.50000 | + | 4.33013i | 0.227273 | + | 0.393648i | ||||
\(122\) | 2.00000i | 0.181071i | ||||||||
\(123\) | 5.19615 | − | 3.00000i | 0.468521 | − | 0.270501i | ||||
\(124\) | −3.46410 | + | 2.00000i | −0.311086 | + | 0.179605i | ||||
\(125\) | − | 12.0000i | − | 1.07331i | ||||||
\(126\) | 2.00000 | + | 3.46410i | 0.178174 | + | 0.308607i | ||||
\(127\) | −8.00000 | + | 13.8564i | −0.709885 | + | 1.22956i | 0.255014 | + | 0.966937i | \(0.417920\pi\) |
−0.964899 | + | 0.262620i | \(0.915413\pi\) | |||||||
\(128\) | 2.59808 | + | 1.50000i | 0.229640 | + | 0.132583i | ||||
\(129\) | −12.0000 | −1.05654 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 4.00000 | 0.349482 | 0.174741 | − | 0.984614i | \(-0.444091\pi\) | ||||
0.174741 | + | 0.984614i | \(0.444091\pi\) | |||||||
\(132\) | 3.46410 | + | 2.00000i | 0.301511 | + | 0.174078i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −4.00000 | − | 6.92820i | −0.345547 | − | 0.598506i | ||||
\(135\) | 2.00000i | 0.172133i | ||||||||
\(136\) | 5.19615 | − | 3.00000i | 0.445566 | − | 0.257248i | ||||
\(137\) | 5.19615 | − | 3.00000i | 0.443937 | − | 0.256307i | −0.261329 | − | 0.965250i | \(-0.584161\pi\) |
0.705266 | + | 0.708942i | \(0.250827\pi\) | |||||||
\(138\) | 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 | ||||||||
\(145\) | −17.3205 | − | 10.0000i | −1.43839 | − | 0.830455i | ||||
\(146\) | −1.00000 | + | 1.73205i | −0.0827606 | + | 0.143346i | ||||
\(147\) | −4.50000 | − | 7.79423i | −0.371154 | − | 0.642857i | ||||
\(148\) | − | 2.00000i | − | 0.164399i | ||||||
\(149\) | 5.19615 | − | 3.00000i | 0.425685 | − | 0.245770i | −0.271821 | − | 0.962348i | \(-0.587626\pi\) |
0.697507 | + | 0.716578i | \(0.254293\pi\) | |||||||
\(150\) | 0.866025 | − | 0.500000i | 0.0707107 | − | 0.0408248i | ||||
\(151\) | 4.00000i | 0.325515i | 0.986666 | + | 0.162758i | \(0.0520389\pi\) | ||||
−0.986666 | + | 0.162758i | \(0.947961\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.00000 | − | 1.73205i | 0.0808452 | − | 0.140028i | ||||
\(154\) | 13.8564 | + | 8.00000i | 1.11658 | + | 0.644658i | ||||
\(155\) | −8.00000 | −0.642575 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −18.0000 | −1.43656 | −0.718278 | − | 0.695756i | \(-0.755069\pi\) | ||||
−0.718278 | + | 0.695756i | \(0.755069\pi\) | |||||||
\(158\) | 6.92820 | + | 4.00000i | 0.551178 | + | 0.318223i | ||||
\(159\) | 3.00000 | − | 5.19615i | 0.237915 | − | 0.412082i | ||||
\(160\) | 5.00000 | + | 8.66025i | 0.395285 | + | 0.684653i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −0.866025 | + | 0.500000i | −0.0680414 | + | 0.0392837i | ||||
\(163\) | 6.92820 | − | 4.00000i | 0.542659 | − | 0.313304i | −0.203497 | − | 0.979076i | \(-0.565231\pi\) |
0.746156 | + | 0.665771i | \(0.231897\pi\) | |||||||
\(164\) | − | 6.00000i | − | 0.468521i | ||||||
\(165\) | 4.00000 | + | 6.92820i | 0.311400 | + | 0.539360i | ||||
\(166\) | 2.00000 | − | 3.46410i | 0.155230 | − | 0.268866i | ||||
\(167\) | 6.92820 | + | 4.00000i | 0.536120 | + | 0.309529i | 0.743505 | − | 0.668730i | \(-0.233162\pi\) |
−0.207385 | + | 0.978259i | \(0.566495\pi\) | |||||||
\(168\) | 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 | \(-0.0934200\pi\) |
−0.729155 | + | 0.684349i | \(0.760087\pi\) | |||||||
\(174\) | − | 10.0000i | − | 0.758098i | ||||||
\(175\) | −3.46410 | + | 2.00000i | −0.261861 | + | 0.151186i | ||||
\(176\) | −3.46410 | + | 2.00000i | −0.261116 | + | 0.150756i | ||||
\(177\) | − | 12.0000i | − | 0.901975i | ||||||
\(178\) | 1.00000 | + | 1.73205i | 0.0749532 | + | 0.129823i | ||||
\(179\) | 2.00000 | − | 3.46410i | 0.149487 | − | 0.258919i | −0.781551 | − | 0.623841i | \(-0.785571\pi\) |
0.931038 | + | 0.364922i | \(0.118904\pi\) | |||||||
\(180\) | 1.73205 | + | 1.00000i | 0.129099 | + | 0.0745356i | ||||
\(181\) | 10.0000 | 0.743294 | 0.371647 | − | 0.928374i | \(-0.378793\pi\) | ||||
0.371647 | + | 0.928374i | \(0.378793\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.00000 | 0.147844 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 2.00000 | − | 3.46410i | 0.147043 | − | 0.254686i | ||||
\(186\) | −2.00000 | − | 3.46410i | −0.146647 | − | 0.254000i | ||||
\(187\) | − | 8.00000i | − | 0.585018i | ||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 3.46410 | − | 2.00000i | 0.251976 | − | 0.145479i | ||||
\(190\) | 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 | ||||
\(193\) | −15.5885 | − | 9.00000i | −1.12208 | − | 0.647834i | −0.180150 | − | 0.983639i | \(-0.557658\pi\) |
−0.941932 | + | 0.335805i | \(0.890992\pi\) | |||||||
\(194\) | −10.0000 | −0.717958 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −9.00000 | −0.642857 | ||||||||
\(197\) | 15.5885 | + | 9.00000i | 1.11063 | + | 0.641223i | 0.938993 | − | 0.343937i | \(-0.111761\pi\) |
0.171639 | + | 0.985160i | \(0.445094\pi\) | |||||||
\(198\) | −2.00000 | + | 3.46410i | −0.142134 | + | 0.246183i | ||||
\(199\) | 4.00000 | + | 6.92820i | 0.283552 | + | 0.491127i | 0.972257 | − | 0.233915i | \(-0.0751537\pi\) |
−0.688705 | + | 0.725042i | \(0.741820\pi\) | |||||||
\(200\) | − | 3.00000i | − | 0.212132i | ||||||
\(201\) | −6.92820 | + | 4.00000i | −0.488678 | + | 0.282138i | ||||
\(202\) | −15.5885 | + | 9.00000i | −1.09680 | + | 0.633238i | ||||
\(203\) | 40.0000i | 2.80745i | ||||||||
\(204\) | −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 | ||||||||
\(210\) | 6.92820 | + | 4.00000i | 0.478091 | + | 0.276026i | ||||
\(211\) | 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 | ||||||||
\(214\) | −10.3923 | + | 6.00000i | −0.710403 | + | 0.410152i | ||||
\(215\) | −20.7846 | + | 12.0000i | −1.41750 | + | 0.818393i | ||||
\(216\) | 3.00000i | 0.204124i | ||||||||
\(217\) | 8.00000 | + | 13.8564i | 0.543075 | + | 0.940634i | ||||
\(218\) | −1.00000 | + | 1.73205i | −0.0677285 | + | 0.117309i | ||||
\(219\) | 1.73205 | + | 1.00000i | 0.117041 | + | 0.0675737i | ||||
\(220\) | 8.00000 | 0.539360 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 2.00000 | 0.134231 | ||||||||
\(223\) | 3.46410 | + | 2.00000i | 0.231973 | + | 0.133930i | 0.611482 | − | 0.791258i | \(-0.290574\pi\) |
−0.379509 | + | 0.925188i | \(0.623907\pi\) | |||||||
\(224\) | 10.0000 | − | 17.3205i | 0.668153 | − | 1.15728i | ||||
\(225\) | −0.500000 | − | 0.866025i | −0.0333333 | − | 0.0577350i | ||||
\(226\) | 6.00000i | 0.399114i | ||||||||
\(227\) | 17.3205 | − | 10.0000i | 1.14960 | − | 0.663723i | 0.200812 | − | 0.979630i | \(-0.435642\pi\) |
0.948790 | + | 0.315906i | \(0.102309\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − | 10.0000i | − | 0.660819i | −0.943838 | − | 0.330409i | \(-0.892813\pi\) | ||
0.943838 | − | 0.330409i | \(-0.107187\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 8.00000 | − | 13.8564i | 0.526361 | − | 0.911685i | ||||
\(232\) | −25.9808 | − | 15.0000i | −1.70572 | − | 0.984798i | ||||
\(233\) | 14.0000 | 0.917170 | 0.458585 | − | 0.888650i | \(-0.348356\pi\) | ||||
0.458585 | + | 0.888650i | \(0.348356\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −10.3923 | − | 6.00000i | −0.676481 | − | 0.390567i | ||||
\(237\) | 4.00000 | − | 6.92820i | 0.259828 | − | 0.450035i | ||||
\(238\) | −4.00000 | − | 6.92820i | −0.259281 | − | 0.449089i | ||||
\(239\) | 24.0000i | 1.55243i | 0.630468 | + | 0.776215i | \(0.282863\pi\) | ||||
−0.630468 | + | 0.776215i | \(0.717137\pi\) | |||||||
\(240\) | −1.73205 | + | 1.00000i | −0.111803 | + | 0.0645497i | ||||
\(241\) | 8.66025 | − | 5.00000i | 0.557856 | − | 0.322078i | −0.194429 | − | 0.980917i | \(-0.562285\pi\) |
0.752285 | + | 0.658838i | \(0.228952\pi\) | |||||||
\(242\) | 5.00000i | 0.321412i | ||||||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | 1.00000 | − | 1.73205i | 0.0640184 | − | 0.110883i | ||||
\(245\) | −15.5885 | − | 9.00000i | −0.995910 | − | 0.574989i | ||||
\(246\) | 6.00000 | 0.382546 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −12.0000 | −0.762001 | ||||||||
\(249\) | −3.46410 | − | 2.00000i | −0.219529 | − | 0.126745i | ||||
\(250\) | 6.00000 | − | 10.3923i | 0.379473 | − | 0.657267i | ||||
\(251\) | −6.00000 | − | 10.3923i | −0.378717 | − | 0.655956i | 0.612159 | − | 0.790735i | \(-0.290301\pi\) |
−0.990876 | + | 0.134778i | \(0.956968\pi\) | |||||||
\(252\) | − | 4.00000i | − | 0.251976i | ||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −13.8564 | + | 8.00000i | −0.869428 | + | 0.501965i | ||||
\(255\) | − | 4.00000i | − | 0.250490i | ||||||
\(256\) | 8.50000 | + | 14.7224i | 0.531250 | + | 0.920152i | ||||
\(257\) | 13.0000 | − | 22.5167i | 0.810918 | − | 1.40455i | −0.101305 | − | 0.994855i | \(-0.532302\pi\) |
0.912222 | − | 0.409695i | \(-0.134365\pi\) | |||||||
\(258\) | −10.3923 | − | 6.00000i | −0.646997 | − | 0.373544i | ||||
\(259\) | −8.00000 | −0.497096 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −10.0000 | −0.618984 | ||||||||
\(262\) | 3.46410 | + | 2.00000i | 0.214013 | + | 0.123560i | ||||
\(263\) | −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 | ||||
\(265\) | − | 12.0000i | − | 0.737154i | ||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 1.73205 | − | 1.00000i | 0.106000 | − | 0.0611990i | ||||
\(268\) | 8.00000i | 0.488678i | ||||||||
\(269\) | −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 | ||||
\(271\) | 10.3923 | + | 6.00000i | 0.631288 | + | 0.364474i | 0.781251 | − | 0.624218i | \(-0.214582\pi\) |
−0.149963 | + | 0.988692i | \(0.547915\pi\) | |||||||
\(272\) | 2.00000 | 0.121268 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 6.00000 | 0.362473 | ||||||||
\(275\) | −3.46410 | − | 2.00000i | −0.208893 | − | 0.120605i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −5.00000 | − | 8.66025i | −0.300421 | − | 0.520344i | 0.675810 | − | 0.737075i | \(-0.263794\pi\) |
−0.976231 | + | 0.216731i | \(0.930460\pi\) | |||||||
\(278\) | − | 12.0000i | − | 0.719712i | ||||||
\(279\) | −3.46410 | + | 2.00000i | −0.207390 | + | 0.119737i | ||||
\(280\) | 20.7846 | − | 12.0000i | 1.24212 | − | 0.717137i | ||||
\(281\) | − | 10.0000i | − | 0.596550i | −0.954480 | − | 0.298275i | \(-0.903589\pi\) | ||
0.954480 | − | 0.298275i | \(-0.0964112\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 6.00000 | − | 10.3923i | 0.356663 | − | 0.617758i | −0.630738 | − | 0.775996i | \(-0.717248\pi\) |
0.987401 | + | 0.158237i | \(0.0505811\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −24.0000 | −1.41668 | ||||||||
\(288\) | 4.33013 | + | 2.50000i | 0.255155 | + | 0.147314i | ||||
\(289\) | 6.50000 | − | 11.2583i | 0.382353 | − | 0.662255i | ||||
\(290\) | −10.0000 | − | 17.3205i | −0.587220 | − | 1.01710i | ||||
\(291\) | 10.0000i | 0.586210i | ||||||||
\(292\) | 1.73205 | − | 1.00000i | 0.101361 | − | 0.0585206i | ||||
\(293\) | −5.19615 | + | 3.00000i | −0.303562 | + | 0.175262i | −0.644042 | − | 0.764990i | \(-0.722744\pi\) |
0.340480 | + | 0.940252i | \(0.389411\pi\) | |||||||
\(294\) | − | 9.00000i | − | 0.524891i | ||||||
\(295\) | −12.0000 | − | 20.7846i | −0.698667 | − | 1.21013i | ||||
\(296\) | 3.00000 | − | 5.19615i | 0.174371 | − | 0.302020i | ||||
\(297\) | 3.46410 | + | 2.00000i | 0.201008 | + | 0.116052i | ||||
\(298\) | 6.00000 | 0.347571 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | −1.00000 | −0.0577350 | ||||||||
\(301\) | 41.5692 | + | 24.0000i | 2.39601 | + | 1.38334i | ||||
\(302\) | −2.00000 | + | 3.46410i | −0.115087 | + | 0.199337i | ||||
\(303\) | 9.00000 | + | 15.5885i | 0.517036 | + | 0.895533i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 3.46410 | − | 2.00000i | 0.198354 | − | 0.114520i | ||||
\(306\) | 1.73205 | − | 1.00000i | 0.0990148 | − | 0.0571662i | ||||
\(307\) | − | 16.0000i | − | 0.913168i | −0.889680 | − | 0.456584i | \(-0.849073\pi\) | ||
0.889680 | − | 0.456584i | \(-0.150927\pi\) | |||||||
\(308\) | −8.00000 | − | 13.8564i | −0.455842 | − | 0.789542i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −6.92820 | − | 4.00000i | −0.393496 | − | 0.227185i | ||||
\(311\) | 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 | \(0.554238\pi\) | |||||||
\(314\) | −15.5885 | − | 9.00000i | −0.879708 | − | 0.507899i | ||||
\(315\) | 4.00000 | − | 6.92820i | 0.225374 | − | 0.390360i | ||||
\(316\) | −4.00000 | − | 6.92820i | −0.225018 | − | 0.389742i | ||||
\(317\) | − | 26.0000i | − | 1.46031i | −0.683284 | − | 0.730153i | \(-0.739449\pi\) | ||
0.683284 | − | 0.730153i | \(-0.260551\pi\) | |||||||
\(318\) | 5.19615 | − | 3.00000i | 0.291386 | − | 0.168232i | ||||
\(319\) | −34.6410 | + | 20.0000i | −1.93952 | + | 1.11979i | ||||
\(320\) | 14.0000i | 0.782624i | ||||||||
\(321\) | 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 | ||||||||
\(327\) | 1.73205 | + | 1.00000i | 0.0957826 | + | 0.0553001i | ||||
\(328\) | 9.00000 | − | 15.5885i | 0.496942 | − | 0.860729i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 8.00000i | 0.440386i | ||||||||
\(331\) | 13.8564 | − | 8.00000i | 0.761617 | − | 0.439720i | −0.0682590 | − | 0.997668i | \(-0.521744\pi\) |
0.829876 | + | 0.557948i | \(0.188411\pi\) | |||||||
\(332\) | −3.46410 | + | 2.00000i | −0.190117 | + | 0.109764i | ||||
\(333\) | − | 2.00000i | − | 0.109599i | ||||||
\(334\) | 4.00000 | + | 6.92820i | 0.218870 | + | 0.379094i | ||||
\(335\) | −8.00000 | + | 13.8564i | −0.437087 | + | 0.757056i | ||||
\(336\) | 3.46410 | + | 2.00000i | 0.188982 | + | 0.109109i | ||||
\(337\) | −18.0000 | −0.980522 | −0.490261 | − | 0.871576i | \(-0.663099\pi\) | ||||
−0.490261 | + | 0.871576i | \(0.663099\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 6.00000 | 0.325875 | ||||||||
\(340\) | −3.46410 | − | 2.00000i | −0.187867 | − | 0.108465i | ||||
\(341\) | −8.00000 | + | 13.8564i | −0.433224 | + | 0.750366i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 8.00000i | 0.431959i | ||||||||
\(344\) | −31.1769 | + | 18.0000i | −1.68095 | + | 0.970495i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 6.00000i | 0.322562i | ||||||||
\(347\) | 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 | ||||
\(349\) | 22.5167 | + | 13.0000i | 1.20529 | + | 0.695874i | 0.961727 | − | 0.274011i | \(-0.0883505\pi\) |
0.243563 | + | 0.969885i | \(0.421684\pi\) | |||||||
\(350\) | −4.00000 | −0.213809 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 20.0000 | 1.06600 | ||||||||
\(353\) | −1.73205 | − | 1.00000i | −0.0921878 | − | 0.0532246i | 0.453197 | − | 0.891410i | \(-0.350283\pi\) |
−0.545385 | + | 0.838186i | \(0.683617\pi\) | |||||||
\(354\) | 6.00000 | − | 10.3923i | 0.318896 | − | 0.552345i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | − | 2.00000i | − | 0.106000i | ||||||
\(357\) | −6.92820 | + | 4.00000i | −0.366679 | + | 0.211702i | ||||
\(358\) | 3.46410 | − | 2.00000i | 0.183083 | − | 0.105703i | ||||
\(359\) | 24.0000i | 1.26667i | 0.773877 | + | 0.633336i | \(0.218315\pi\) | ||||
−0.773877 | + | 0.633336i | \(0.781685\pi\) | |||||||
\(360\) | 3.00000 | + | 5.19615i | 0.158114 | + | 0.273861i | ||||
\(361\) | −9.50000 | + | 16.4545i | −0.500000 | + | 0.866025i | ||||
\(362\) | 8.66025 | + | 5.00000i | 0.455173 | + | 0.262794i | ||||
\(363\) | 5.00000 | 0.262432 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 4.00000 | 0.209370 | ||||||||
\(366\) | 1.73205 | + | 1.00000i | 0.0905357 | + | 0.0522708i | ||||
\(367\) | −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 | ||||||||
\(369\) | − | 6.00000i | − | 0.312348i | ||||||
\(370\) | 3.46410 | − | 2.00000i | 0.180090 | − | 0.103975i | ||||
\(371\) | −20.7846 | + | 12.0000i | −1.07908 | + | 0.623009i | ||||
\(372\) | 4.00000i | 0.207390i | ||||||||
\(373\) | 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 | ||||
\(375\) | −10.3923 | − | 6.00000i | −0.536656 | − | 0.309839i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 4.00000 | 0.205738 | ||||||||
\(379\) | −20.7846 | − | 12.0000i | −1.06763 | − | 0.616399i | −0.140100 | − | 0.990137i | \(-0.544742\pi\) |
−0.927534 | + | 0.373739i | \(0.878076\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 8.00000 | + | 13.8564i | 0.409852 | + | 0.709885i | ||||
\(382\) | − | 8.00000i | − | 0.409316i | ||||||
\(383\) | 13.8564 | − | 8.00000i | 0.708029 | − | 0.408781i | −0.102302 | − | 0.994753i | \(-0.532621\pi\) |
0.810331 | + | 0.585973i | \(0.199287\pi\) | |||||||
\(384\) | 2.59808 | − | 1.50000i | 0.132583 | − | 0.0765466i | ||||
\(385\) | − | 32.0000i | − | 1.63087i | ||||||
\(386\) | −9.00000 | − | 15.5885i | −0.458088 | − | 0.793432i | ||||
\(387\) | −6.00000 | + | 10.3923i | −0.304997 | + | 0.528271i | ||||
\(388\) | 8.66025 | + | 5.00000i | 0.439658 | + | 0.253837i | ||||
\(389\) | −22.0000 | −1.11544 | −0.557722 | − | 0.830028i | \(-0.688325\pi\) | ||||
−0.557722 | + | 0.830028i | \(0.688325\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | −23.3827 | − | 13.5000i | −1.18100 | − | 0.681853i | ||||
\(393\) | 2.00000 | − | 3.46410i | 0.100887 | − | 0.174741i | ||||
\(394\) | 9.00000 | + | 15.5885i | 0.453413 | + | 0.785335i | ||||
\(395\) | − | 16.0000i | − | 0.805047i | ||||||
\(396\) | 3.46410 | − | 2.00000i | 0.174078 | − | 0.100504i | ||||
\(397\) | 32.9090 | − | 19.0000i | 1.65165 | − | 0.953583i | 0.675261 | − | 0.737579i | \(-0.264031\pi\) |
0.976392 | − | 0.216004i | \(-0.0693024\pi\) | |||||||
\(398\) | 8.00000i | 0.401004i | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.500000 | − | 0.866025i | 0.0250000 | − | 0.0433013i | ||||
\(401\) | −19.0526 | − | 11.0000i | −0.951439 | − | 0.549314i | −0.0579116 | − | 0.998322i | \(-0.518444\pi\) |
−0.893528 | + | 0.449008i | \(0.851777\pi\) | |||||||
\(402\) | −8.00000 | −0.399004 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 18.0000 | 0.895533 | ||||||||
\(405\) | 1.73205 | + | 1.00000i | 0.0860663 | + | 0.0496904i | ||||
\(406\) | −20.0000 | + | 34.6410i | −0.992583 | + | 1.71920i | ||||
\(407\) | −4.00000 | − | 6.92820i | −0.198273 | − | 0.343418i | ||||
\(408\) | − | 6.00000i | − | 0.297044i | ||||||
\(409\) | −29.4449 | + | 17.0000i | −1.45595 | + | 0.840596i | −0.998809 | − | 0.0487958i | \(-0.984462\pi\) |
−0.457146 | + | 0.889392i | \(0.651128\pi\) | |||||||
\(410\) | 10.3923 | − | 6.00000i | 0.513239 | − | 0.296319i | ||||
\(411\) | − | 6.00000i | − | 0.295958i | ||||||
\(412\) | 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 | ||||
\(421\) | 10.0000i | 0.487370i | 0.969854 | + | 0.243685i | \(0.0783563\pi\) | ||||
−0.969854 | + | 0.243685i | \(0.921644\pi\) | |||||||
\(422\) | 17.3205 | − | 10.0000i | 0.843149 | − | 0.486792i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | − | 18.0000i | − | 0.874157i | ||||||
\(425\) | 1.00000 | + | 1.73205i | 0.0485071 | + | 0.0840168i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −6.92820 | − | 4.00000i | −0.335279 | − | 0.193574i | ||||
\(428\) | 12.0000 | 0.580042 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −24.0000 | −1.15738 | ||||||||
\(431\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(432\) | −0.500000 | + | 0.866025i | −0.0240563 | + | 0.0416667i | ||||
\(433\) | 17.0000 | + | 29.4449i | 0.816968 | + | 1.41503i | 0.907906 | + | 0.419173i | \(0.137680\pi\) |
−0.0909384 | + | 0.995857i | \(0.528987\pi\) | |||||||
\(434\) | 16.0000i | 0.768025i | ||||||||
\(435\) | −17.3205 | + | 10.0000i | −0.830455 | + | 0.479463i | ||||
\(436\) | 1.73205 | − | 1.00000i | 0.0829502 | − | 0.0478913i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 1.00000 | + | 1.73205i | 0.0477818 | + | 0.0827606i | ||||
\(439\) | 16.0000 | − | 27.7128i | 0.763638 | − | 1.32266i | −0.177325 | − | 0.984152i | \(-0.556744\pi\) |
0.940963 | − | 0.338508i | \(-0.109922\pi\) | |||||||
\(440\) | 20.7846 | + | 12.0000i | 0.990867 | + | 0.572078i | ||||
\(441\) | −9.00000 | −0.428571 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −4.00000 | −0.190046 | −0.0950229 | − | 0.995475i | \(-0.530292\pi\) | ||||
−0.0950229 | + | 0.995475i | \(0.530292\pi\) | |||||||
\(444\) | −1.73205 | − | 1.00000i | −0.0821995 | − | 0.0474579i | ||||
\(445\) | 2.00000 | − | 3.46410i | 0.0948091 | − | 0.164214i | ||||
\(446\) | 2.00000 | + | 3.46410i | 0.0947027 | + | 0.164030i | ||||
\(447\) | − | 6.00000i | − | 0.283790i | ||||||
\(448\) | 24.2487 | − | 14.0000i | 1.14564 | − | 0.661438i | ||||
\(449\) | 19.0526 | − | 11.0000i | 0.899146 | − | 0.519122i | 0.0222229 | − | 0.999753i | \(-0.492926\pi\) |
0.876923 | + | 0.480631i | \(0.159592\pi\) | |||||||
\(450\) | − | 1.00000i | − | 0.0471405i | ||||||
\(451\) | −12.0000 | − | 20.7846i | −0.565058 | − | 0.978709i | ||||
\(452\) | 3.00000 | − | 5.19615i | 0.141108 | − | 0.244406i | ||||
\(453\) | 3.46410 | + | 2.00000i | 0.162758 | + | 0.0939682i | ||||
\(454\) | 20.0000 | 0.938647 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.73205 | + | 1.00000i | 0.0810219 | + | 0.0467780i | 0.539964 | − | 0.841688i | \(-0.318438\pi\) |
−0.458942 | + | 0.888466i | \(0.651771\pi\) | |||||||
\(458\) | 5.00000 | − | 8.66025i | 0.233635 | − | 0.404667i | ||||
\(459\) | −1.00000 | − | 1.73205i | −0.0466760 | − | 0.0808452i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 32.9090 | − | 19.0000i | 1.53272 | − | 0.884918i | 0.533488 | − | 0.845807i | \(-0.320881\pi\) |
0.999235 | − | 0.0391109i | \(-0.0124526\pi\) | |||||||
\(462\) | 13.8564 | − | 8.00000i | 0.644658 | − | 0.372194i | ||||
\(463\) | 4.00000i | 0.185896i | 0.995671 | + | 0.0929479i | \(0.0296290\pi\) | ||||
−0.995671 | + | 0.0929479i | \(0.970371\pi\) | |||||||
\(464\) | −5.00000 | − | 8.66025i | −0.232119 | − | 0.402042i | ||||
\(465\) | −4.00000 | + | 6.92820i | −0.185496 | + | 0.321288i | ||||
\(466\) | 12.1244 | + | 7.00000i | 0.561650 | + | 0.324269i | ||||
\(467\) | −12.0000 | −0.555294 | −0.277647 | − | 0.960683i | \(-0.589555\pi\) | ||||
−0.277647 | + | 0.960683i | \(0.589555\pi\) | |||||||
\(468\) | 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 | ||||
\(473\) | 48.0000i | 2.20704i | ||||||||
\(474\) | 6.92820 | − | 4.00000i | 0.318223 | − | 0.183726i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 8.00000i | 0.366679i | ||||||||
\(477\) | −3.00000 | − | 5.19615i | −0.137361 | − | 0.237915i | ||||
\(478\) | −12.0000 | + | 20.7846i | −0.548867 | + | 0.950666i | ||||
\(479\) | 20.7846 | + | 12.0000i | 0.949673 | + | 0.548294i | 0.892979 | − | 0.450098i | \(-0.148611\pi\) |
0.0566937 | + | 0.998392i | \(0.481944\pi\) | |||||||
\(480\) | 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 | ||||
\(486\) | 1.00000i | 0.0453609i | ||||||||
\(487\) | −10.3923 | + | 6.00000i | −0.470920 | + | 0.271886i | −0.716625 | − | 0.697459i | \(-0.754314\pi\) |
0.245705 | + | 0.969345i | \(0.420981\pi\) | |||||||
\(488\) | 5.19615 | − | 3.00000i | 0.235219 | − | 0.135804i | ||||
\(489\) | − | 8.00000i | − | 0.361773i | ||||||
\(490\) | −9.00000 | − | 15.5885i | −0.406579 | − | 0.704215i | ||||
\(491\) | −6.00000 | + | 10.3923i | −0.270776 | + | 0.468998i | −0.969061 | − | 0.246822i | \(-0.920614\pi\) |
0.698285 | + | 0.715820i | \(0.253947\pi\) | |||||||
\(492\) | −5.19615 | − | 3.00000i | −0.234261 | − | 0.135250i | ||||
\(493\) | 20.0000 | 0.900755 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 8.00000 | 0.359573 | ||||||||
\(496\) | −3.46410 | − | 2.00000i | −0.155543 | − | 0.0898027i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −2.00000 | − | 3.46410i | −0.0896221 | − | 0.155230i | ||||
\(499\) | 24.0000i | 1.07439i | 0.843459 | + | 0.537194i | \(0.180516\pi\) | ||||
−0.843459 | + | 0.537194i | \(0.819484\pi\) | |||||||
\(500\) | −10.3923 | + | 6.00000i | −0.464758 | + | 0.268328i | ||||
\(501\) | 6.92820 | − | 4.00000i | 0.309529 | − | 0.178707i | ||||
\(502\) | − | 12.0000i | − | 0.535586i | ||||||
\(503\) | 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 | ||||
\(505\) | 31.1769 | + | 18.0000i | 1.38735 | + | 0.800989i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 16.0000 | 0.709885 | ||||||||
\(509\) | 8.66025 | + | 5.00000i | 0.383859 | + | 0.221621i | 0.679496 | − | 0.733679i | \(-0.262199\pi\) |
−0.295637 | + | 0.955300i | \(0.595532\pi\) | |||||||
\(510\) | 2.00000 | − | 3.46410i | 0.0885615 | − | 0.153393i | ||||
\(511\) | −4.00000 | − | 6.92820i | −0.176950 | − | 0.306486i | ||||
\(512\) | 11.0000i | 0.486136i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 22.5167 | − | 13.0000i | 0.993167 | − | 0.573405i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 6.00000 | + | 10.3923i | 0.264135 | + | 0.457496i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −6.92820 | − | 4.00000i | −0.304408 | − | 0.175750i | ||||
\(519\) | 6.00000 | 0.263371 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 18.0000 | 0.788594 | 0.394297 | − | 0.918983i | \(-0.370988\pi\) | ||||
0.394297 | + | 0.918983i | \(0.370988\pi\) | |||||||
\(522\) | −8.66025 | − | 5.00000i | −0.379049 | − | 0.218844i | ||||
\(523\) | −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 | ||||
\(525\) | 4.00000i | 0.174574i | ||||||||
\(526\) | −20.7846 | + | 12.0000i | −0.906252 | + | 0.523225i | ||||
\(527\) | 6.92820 | − | 4.00000i | 0.301797 | − | 0.174243i | ||||
\(528\) | 4.00000i | 0.174078i | ||||||||
\(529\) | 11.5000 | + | 19.9186i | 0.500000 | + | 0.866025i | ||||
\(530\) | 6.00000 | − | 10.3923i | 0.260623 | − | 0.451413i | ||||
\(531\) | −10.3923 | − | 6.00000i | −0.450988 | − | 0.260378i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 2.00000 | 0.0865485 | ||||||||
\(535\) | 20.7846 | + | 12.0000i | 0.898597 | + | 0.518805i | ||||
\(536\) | −12.0000 | + | 20.7846i | −0.518321 | + | 0.897758i | ||||
\(537\) | −2.00000 | − | 3.46410i | −0.0863064 | − | 0.149487i | ||||
\(538\) | − | 22.0000i | − | 0.948487i | ||||||
\(539\) | −31.1769 | + | 18.0000i | −1.34288 | + | 0.775315i | ||||
\(540\) | 1.73205 | − | 1.00000i | 0.0745356 | − | 0.0430331i | ||||
\(541\) | 30.0000i | 1.28980i | 0.764267 | + | 0.644900i | \(0.223101\pi\) | ||||
−0.764267 | + | 0.644900i | \(0.776899\pi\) | |||||||
\(542\) | 6.00000 | + | 10.3923i | 0.257722 | + | 0.446388i | ||||
\(543\) | 5.00000 | − | 8.66025i | 0.214571 | − | 0.371647i | ||||
\(544\) | −8.66025 | − | 5.00000i | −0.371305 | − | 0.214373i | ||||
\(545\) | 4.00000 | 0.171341 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 4.00000 | 0.171028 | 0.0855138 | − | 0.996337i | \(-0.472747\pi\) | ||||
0.0855138 | + | 0.996337i | \(0.472747\pi\) | |||||||
\(548\) | −5.19615 | − | 3.00000i | −0.221969 | − | 0.128154i | ||||
\(549\) | 1.00000 | − | 1.73205i | 0.0426790 | − | 0.0739221i | ||||
\(550\) | −2.00000 | − | 3.46410i | −0.0852803 | − | 0.147710i | ||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −27.7128 | + | 16.0000i | −1.17847 | + | 0.680389i | ||||
\(554\) | − | 10.0000i | − | 0.424859i | ||||||
\(555\) | −2.00000 | − | 3.46410i | −0.0848953 | − | 0.147043i | ||||
\(556\) | −6.00000 | + | 10.3923i | −0.254457 | + | 0.440732i | ||||
\(557\) | −15.5885 | − | 9.00000i | −0.660504 | − | 0.381342i | 0.131965 | − | 0.991254i | \(-0.457871\pi\) |
−0.792469 | + | 0.609912i | \(0.791205\pi\) | |||||||
\(558\) | −4.00000 | −0.169334 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 8.00000 | 0.338062 | ||||||||
\(561\) | −6.92820 | − | 4.00000i | −0.292509 | − | 0.168880i | ||||
\(562\) | 5.00000 | − | 8.66025i | 0.210912 | − | 0.365311i | ||||
\(563\) | −6.00000 | − | 10.3923i | −0.252870 | − | 0.437983i | 0.711445 | − | 0.702742i | \(-0.248041\pi\) |
−0.964315 | + | 0.264758i | \(0.914708\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 10.3923 | − | 6.00000i | 0.437208 | − | 0.252422i | ||||
\(566\) | 10.3923 | − | 6.00000i | 0.436821 | − | 0.252199i | ||||
\(567\) | − | 4.00000i | − | 0.167984i | ||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 17.0000 | − | 29.4449i | 0.712677 | − | 1.23439i | −0.251172 | − | 0.967943i | \(-0.580816\pi\) |
0.963849 | − | 0.266450i | \(-0.0858508\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.00000 | 0.167395 | 0.0836974 | − | 0.996491i | \(-0.473327\pi\) | ||||
0.0836974 | + | 0.996491i | \(0.473327\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −8.00000 | −0.334205 | ||||||||
\(574\) | −20.7846 | − | 12.0000i | −0.867533 | − | 0.500870i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 3.50000 | + | 6.06218i | 0.145833 | + | 0.252591i | ||||
\(577\) | 46.0000i | 1.91501i | 0.288425 | + | 0.957503i | \(0.406868\pi\) | ||||
−0.288425 | + | 0.957503i | \(0.593132\pi\) | |||||||
\(578\) | 11.2583 | − | 6.50000i | 0.468285 | − | 0.270364i | ||||
\(579\) | −15.5885 | + | 9.00000i | −0.647834 | + | 0.374027i | ||||
\(580\) | 20.0000i | 0.830455i | ||||||||
\(581\) | 8.00000 | + | 13.8564i | 0.331896 | + | 0.574861i | ||||
\(582\) | −5.00000 | + | 8.66025i | −0.207257 | + | 0.358979i | ||||
\(583\) | −20.7846 | − | 12.0000i | −0.860811 | − | 0.496989i | ||||
\(584\) | 6.00000 | 0.248282 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −6.00000 | −0.247858 | ||||||||
\(587\) | 24.2487 | + | 14.0000i | 1.00085 | + | 0.577842i | 0.908500 | − | 0.417885i | \(-0.137228\pi\) |
0.0923513 | + | 0.995726i | \(0.470562\pi\) | |||||||
\(588\) | −4.50000 | + | 7.79423i | −0.185577 | + | 0.321429i | ||||
\(589\) | 0 | 0 | ||||||||
\(590\) | − | 24.0000i | − | 0.988064i | ||||||
\(591\) | 15.5885 | − | 9.00000i | 0.641223 | − | 0.370211i | ||||
\(592\) | 1.73205 | − | 1.00000i | 0.0711868 | − | 0.0410997i | ||||
\(593\) | − | 26.0000i | − | 1.06769i | −0.845582 | − | 0.533846i | \(-0.820746\pi\) | ||
0.845582 | − | 0.533846i | \(-0.179254\pi\) | |||||||
\(594\) | 2.00000 | + | 3.46410i | 0.0820610 | + | 0.142134i | ||||
\(595\) | −8.00000 | + | 13.8564i | −0.327968 | + | 0.568057i | ||||
\(596\) | −5.19615 | − | 3.00000i | −0.212843 | − | 0.122885i | ||||
\(597\) | 8.00000 | 0.327418 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −40.0000 | −1.63436 | −0.817178 | − | 0.576386i | \(-0.804463\pi\) | ||||
−0.817178 | + | 0.576386i | \(0.804463\pi\) | |||||||
\(600\) | −2.59808 | − | 1.50000i | −0.106066 | − | 0.0612372i | ||||
\(601\) | 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 | ||||
\(603\) | 8.00000i | 0.325785i | ||||||||
\(604\) | 3.46410 | − | 2.00000i | 0.140952 | − | 0.0813788i | ||||
\(605\) | 8.66025 | − | 5.00000i | 0.352089 | − | 0.203279i | ||||
\(606\) | 18.0000i | 0.731200i | ||||||||
\(607\) | 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 | ||||||||
\(609\) | 34.6410 | + | 20.0000i | 1.40372 | + | 0.810441i | ||||
\(610\) | 4.00000 | 0.161955 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −2.00000 | −0.0808452 | ||||||||
\(613\) | −1.73205 | − | 1.00000i | −0.0699569 | − | 0.0403896i | 0.464614 | − | 0.885514i | \(-0.346193\pi\) |
−0.534570 | + | 0.845124i | \(0.679527\pi\) | |||||||
\(614\) | 8.00000 | − | 13.8564i | 0.322854 | − | 0.559199i | ||||
\(615\) | −6.00000 | − | 10.3923i | −0.241943 | − | 0.419058i | ||||
\(616\) | − | 48.0000i | − | 1.93398i | ||||||
\(617\) | −19.0526 | + | 11.0000i | −0.767027 | + | 0.442843i | −0.831813 | − | 0.555056i | \(-0.812697\pi\) |
0.0647859 | + | 0.997899i | \(0.479364\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 24.0000i | 0.964641i | 0.875995 | + | 0.482321i | \(0.160206\pi\) | ||||
−0.875995 | + | 0.482321i | \(0.839794\pi\) | |||||||
\(620\) | 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 | ||||||||
\(626\) | −5.19615 | − | 3.00000i | −0.207680 | − | 0.119904i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 9.00000 | + | 15.5885i | 0.359139 | + | 0.622047i | ||||
\(629\) | 4.00000i | 0.159490i | ||||||||
\(630\) | 6.92820 | − | 4.00000i | 0.276026 | − | 0.159364i | ||||
\(631\) | 17.3205 | − | 10.0000i | 0.689519 | − | 0.398094i | −0.113913 | − | 0.993491i | \(-0.536339\pi\) |
0.803432 | + | 0.595397i | \(0.203005\pi\) | |||||||
\(632\) | − | 24.0000i | − | 0.954669i | ||||||
\(633\) | −10.0000 | − | 17.3205i | −0.397464 | − | 0.688428i | ||||
\(634\) | 13.0000 | − | 22.5167i | 0.516296 | − | 0.894251i | ||||
\(635\) | 27.7128 | + | 16.0000i | 1.09975 | + | 0.634941i | ||||
\(636\) | −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 | \(-0.154091\pi\) |
−0.845601 | + | 0.533816i | \(0.820758\pi\) | |||||||
\(642\) | 12.0000i | 0.473602i | ||||||||
\(643\) | 34.6410 | − | 20.0000i | 1.36611 | − | 0.788723i | 0.375680 | − | 0.926750i | \(-0.377409\pi\) |
0.990429 | + | 0.138027i | \(0.0440759\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 24.0000i | 0.944999i | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −4.00000 | + | 6.92820i | −0.157256 | + | 0.272376i | −0.933878 | − | 0.357591i | \(-0.883598\pi\) |
0.776622 | + | 0.629967i | \(0.216932\pi\) | |||||||
\(648\) | 2.59808 | + | 1.50000i | 0.102062 | + | 0.0589256i | ||||
\(649\) | −48.0000 | −1.88416 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 16.0000 | 0.627089 | ||||||||
\(652\) | −6.92820 | − | 4.00000i | −0.271329 | − | 0.156652i | ||||
\(653\) | −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 | ||||
\(655\) | − | 8.00000i | − | 0.312586i | ||||||
\(656\) | 5.19615 | − | 3.00000i | 0.202876 | − | 0.117130i | ||||
\(657\) | 1.73205 | − | 1.00000i | 0.0675737 | − | 0.0390137i | ||||
\(658\) | 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 | ||||
\(661\) | −25.9808 | − | 15.0000i | −1.01053 | − | 0.583432i | −0.0991864 | − | 0.995069i | \(-0.531624\pi\) |
−0.911348 | + | 0.411636i | \(0.864957\pi\) | |||||||
\(662\) | 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 | ||||||||
\(668\) | − | 8.00000i | − | 0.309529i | ||||||
\(669\) | 3.46410 | − | 2.00000i | 0.133930 | − | 0.0773245i | ||||
\(670\) | −13.8564 | + | 8.00000i | −0.535320 | + | 0.309067i | ||||
\(671\) | − | 8.00000i | − | 0.308837i | ||||||
\(672\) | −10.0000 | − | 17.3205i | −0.385758 | − | 0.668153i | ||||
\(673\) | −7.00000 | + | 12.1244i | −0.269830 | + | 0.467360i | −0.968818 | − | 0.247774i | \(-0.920301\pi\) |
0.698988 | + | 0.715134i | \(0.253634\pi\) | |||||||
\(674\) | −15.5885 | − | 9.00000i | −0.600445 | − | 0.346667i | ||||
\(675\) | −1.00000 | −0.0384900 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 22.0000 | 0.845529 | 0.422764 | − | 0.906240i | \(-0.361060\pi\) | ||||
0.422764 | + | 0.906240i | \(0.361060\pi\) | |||||||
\(678\) | 5.19615 | + | 3.00000i | 0.199557 | + | 0.115214i | ||||
\(679\) | 20.0000 | − | 34.6410i | 0.767530 | − | 1.32940i | ||||
\(680\) | −6.00000 | − | 10.3923i | −0.230089 | − | 0.398527i | ||||
\(681\) | − | 20.0000i | − | 0.766402i | ||||||
\(682\) | −13.8564 | + | 8.00000i | −0.530589 | + | 0.306336i | ||||
\(683\) | −10.3923 | + | 6.00000i | −0.397650 | + | 0.229584i | −0.685470 | − | 0.728101i | \(-0.740403\pi\) |
0.287819 | + | 0.957685i | \(0.407070\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −6.00000 | − | 10.3923i | −0.229248 | − | 0.397070i | ||||
\(686\) | −4.00000 | + | 6.92820i | −0.152721 | + | 0.264520i | ||||
\(687\) | −8.66025 | − | 5.00000i | −0.330409 | − | 0.190762i | ||||
\(688\) | −12.0000 | −0.457496 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −20.7846 | − | 12.0000i | −0.790684 | − | 0.456502i | 0.0495194 | − | 0.998773i | \(-0.484231\pi\) |
−0.840203 | + | 0.542272i | \(0.817564\pi\) | |||||||
\(692\) | 3.00000 | − | 5.19615i | 0.114043 | − | 0.197528i | ||||
\(693\) | −8.00000 | − | 13.8564i | −0.303895 | − | 0.526361i | ||||
\(694\) | 12.0000i | 0.455514i | ||||||||
\(695\) | −20.7846 | + | 12.0000i | −0.788405 | + | 0.455186i | ||||
\(696\) | −25.9808 | + | 15.0000i | −0.984798 | + | 0.568574i | ||||
\(697\) | 12.0000i | 0.454532i | ||||||||
\(698\) | 13.0000 | + | 22.5167i | 0.492057 | + | 0.852268i | ||||
\(699\) | 7.00000 | − | 12.1244i | 0.264764 | − | 0.458585i | ||||
\(700\) | 3.46410 | + | 2.00000i | 0.130931 | + | 0.0755929i | ||||
\(701\) | 34.0000 | 1.28416 | 0.642081 | − | 0.766637i | \(-0.278071\pi\) | ||||
0.642081 | + | 0.766637i | \(0.278071\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 24.2487 | + | 14.0000i | 0.913908 | + | 0.527645i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1.00000 | − | 1.73205i | −0.0376355 | − | 0.0651866i | ||||
\(707\) | − | 72.0000i | − | 2.70784i | ||||||
\(708\) | −10.3923 | + | 6.00000i | −0.390567 | + | 0.225494i | ||||
\(709\) | −22.5167 | + | 13.0000i | −0.845631 | + | 0.488225i | −0.859174 | − | 0.511683i | \(-0.829022\pi\) |
0.0135434 | + | 0.999908i | \(0.495689\pi\) | |||||||
\(710\) | 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 | ||||||||
\(717\) | 20.7846 | + | 12.0000i | 0.776215 | + | 0.448148i | ||||
\(718\) | −12.0000 | + | 20.7846i | −0.447836 | + | 0.775675i | ||||
\(719\) | −12.0000 | − | 20.7846i | −0.447524 | − | 0.775135i | 0.550700 | − | 0.834703i | \(-0.314361\pi\) |
−0.998224 | + | 0.0595683i | \(0.981028\pi\) | |||||||
\(720\) | 2.00000i | 0.0745356i | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −16.4545 | + | 9.50000i | −0.612372 | + | 0.353553i | ||||
\(723\) | − | 10.0000i | − | 0.371904i | ||||||
\(724\) | −5.00000 | − | 8.66025i | −0.185824 | − | 0.321856i | ||||
\(725\) | 5.00000 | − | 8.66025i | 0.185695 | − | 0.321634i | ||||
\(726\) | 4.33013 | + | 2.50000i | 0.160706 | + | 0.0927837i | ||||
\(727\) | −8.00000 | −0.296704 | −0.148352 | − | 0.988935i | \(-0.547397\pi\) | ||||
−0.148352 | + | 0.988935i | \(0.547397\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 3.46410 | + | 2.00000i | 0.128212 | + | 0.0740233i | ||||
\(731\) | 12.0000 | − | 20.7846i | 0.443836 | − | 0.768747i | ||||
\(732\) | −1.00000 | − | 1.73205i | −0.0369611 | − | 0.0640184i | ||||
\(733\) | − | 30.0000i | − | 1.10808i | −0.832492 | − | 0.554038i | \(-0.813086\pi\) | ||
0.832492 | − | 0.554038i | \(-0.186914\pi\) | |||||||
\(734\) | −13.8564 | + | 8.00000i | −0.511449 | + | 0.295285i | ||||
\(735\) | −15.5885 | + | 9.00000i | −0.574989 | + | 0.331970i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 16.0000 | + | 27.7128i | 0.589368 | + | 1.02081i | ||||
\(738\) | 3.00000 | − | 5.19615i | 0.110432 | − | 0.191273i | ||||
\(739\) | −27.7128 | − | 16.0000i | −1.01943 | − | 0.588570i | −0.105493 | − | 0.994420i | \(-0.533642\pi\) |
−0.913939 | + | 0.405851i | \(0.866975\pi\) | |||||||
\(740\) | −4.00000 | −0.147043 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −24.0000 | −0.881068 | ||||||||
\(743\) | 41.5692 | + | 24.0000i | 1.52503 | + | 0.880475i | 0.999560 | + | 0.0296605i | \(0.00944260\pi\) |
0.525467 | + | 0.850814i | \(0.323891\pi\) | |||||||
\(744\) | −6.00000 | + | 10.3923i | −0.219971 | + | 0.381000i | ||||
\(745\) | −6.00000 | − | 10.3923i | −0.219823 | − | 0.380745i | ||||
\(746\) | 26.0000i | 0.951928i | ||||||||
\(747\) | −3.46410 | + | 2.00000i | −0.126745 | + | 0.0731762i | ||||
\(748\) | −6.92820 | + | 4.00000i | −0.253320 | + | 0.146254i | ||||
\(749\) | − | 48.0000i | − | 1.75388i | ||||||
\(750\) | −6.00000 | − | 10.3923i | −0.219089 | − | 0.379473i | ||||
\(751\) | 4.00000 | − | 6.92820i | 0.145962 | − | 0.252814i | −0.783769 | − | 0.621052i | \(-0.786706\pi\) |
0.929731 | + | 0.368238i | \(0.120039\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −12.0000 | −0.437304 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 8.00000 | 0.291150 | ||||||||
\(756\) | −3.46410 | − | 2.00000i | −0.125988 | − | 0.0727393i | ||||
\(757\) | −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 | ||||||||
\(761\) | −8.66025 | + | 5.00000i | −0.313934 | + | 0.181250i | −0.648686 | − | 0.761057i | \(-0.724681\pi\) |
0.334752 | + | 0.942306i | \(0.391348\pi\) | |||||||
\(762\) | 16.0000i | 0.579619i | ||||||||
\(763\) | −4.00000 | − | 6.92820i | −0.144810 | − | 0.250818i | ||||
\(764\) | −4.00000 | + | 6.92820i | −0.144715 | + | 0.250654i | ||||
\(765\) | −3.46410 | − | 2.00000i | −0.125245 | − | 0.0723102i | ||||
\(766\) | 16.0000 | 0.578103 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 17.0000 | 0.613435 | ||||||||
\(769\) | −25.9808 | − | 15.0000i | −0.936890 | − | 0.540914i | −0.0479061 | − | 0.998852i | \(-0.515255\pi\) |
−0.888984 | + | 0.457938i | \(0.848588\pi\) | |||||||
\(770\) | 16.0000 | − | 27.7128i | 0.576600 | − | 0.998700i | ||||
\(771\) | −13.0000 | − | 22.5167i | −0.468184 | − | 0.810918i | ||||
\(772\) | 18.0000i | 0.647834i | ||||||||
\(773\) | −8.66025 | + | 5.00000i | −0.311488 | + | 0.179838i | −0.647592 | − | 0.761987i | \(-0.724224\pi\) |
0.336104 | + | 0.941825i | \(0.390891\pi\) | |||||||
\(774\) | −10.3923 | + | 6.00000i | −0.373544 | + | 0.215666i | ||||
\(775\) | − | 4.00000i | − | 0.143684i | ||||||
\(776\) | 15.0000 | + | 25.9808i | 0.538469 | + | 0.932655i | ||||
\(777\) | −4.00000 | + | 6.92820i | −0.143499 | + | 0.248548i | ||||
\(778\) | −19.0526 | − | 11.0000i | −0.683067 | − | 0.394369i | ||||
\(779\) | 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 | ||||
\(785\) | 36.0000i | 1.28490i | ||||||||
\(786\) | 3.46410 | − | 2.00000i | 0.123560 | − | 0.0713376i | ||||
\(787\) | −27.7128 | + | 16.0000i | −0.987855 | + | 0.570338i | −0.904632 | − | 0.426193i | \(-0.859855\pi\) |
−0.0832226 | + | 0.996531i | \(0.526521\pi\) | |||||||
\(788\) | − | 18.0000i | − | 0.641223i | ||||||
\(789\) | 12.0000 | + | 20.7846i | 0.427211 | + | 0.739952i | ||||
\(790\) | 8.00000 | − | 13.8564i | 0.284627 | − | 0.492989i | ||||
\(791\) | −20.7846 | − | 12.0000i | −0.739016 | − | 0.426671i | ||||
\(792\) | 12.0000 | 0.426401 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 38.0000 | 1.34857 | ||||||||
\(795\) | −10.3923 | − | 6.00000i | −0.368577 | − | 0.212798i | ||||
\(796\) | 4.00000 | − | 6.92820i | 0.141776 | − | 0.245564i | ||||
\(797\) | 23.0000 | + | 39.8372i | 0.814702 | + | 1.41110i | 0.909542 | + | 0.415612i | \(0.136433\pi\) |
−0.0948400 | + | 0.995493i | \(0.530234\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | −4.33013 | + | 2.50000i | −0.153093 | + | 0.0883883i | ||||
\(801\) | − | 2.00000i | − | 0.0706665i | ||||||
\(802\) | −11.0000 | − | 19.0526i | −0.388424 | − | 0.672769i | ||||
\(803\) | 4.00000 | − | 6.92820i | 0.141157 | − | 0.244491i | ||||
\(804\) | 6.92820 | + | 4.00000i | 0.244339 | + | 0.141069i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −22.0000 | −0.774437 | ||||||||
\(808\) | 46.7654 | + | 27.0000i | 1.64520 | + | 0.949857i | ||||
\(809\) | 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 | ||||
\(811\) | − | 8.00000i | − | 0.280918i | −0.990086 | − | 0.140459i | \(-0.955142\pi\) | ||
0.990086 | − | 0.140459i | \(-0.0448578\pi\) | |||||||
\(812\) | 34.6410 | − | 20.0000i | 1.21566 | − | 0.701862i | ||||
\(813\) | 10.3923 | − | 6.00000i | 0.364474 | − | 0.210429i | ||||
\(814\) | − | 8.00000i | − | 0.280400i | ||||||
\(815\) | −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 | ||||||||
\(821\) | −19.0526 | − | 11.0000i | −0.664939 | − | 0.383903i | 0.129217 | − | 0.991616i | \(-0.458754\pi\) |
−0.794156 | + | 0.607714i | \(0.792087\pi\) | |||||||
\(822\) | 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 | ||||||||
\(825\) | −3.46410 | + | 2.00000i | −0.120605 | + | 0.0696311i | ||||
\(826\) | −41.5692 | + | 24.0000i | −1.44638 | + | 0.835067i | ||||
\(827\) | 4.00000i | 0.139094i | 0.997579 | + | 0.0695468i | \(0.0221553\pi\) | ||||
−0.997579 | + | 0.0695468i | \(0.977845\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −17.0000 | + | 29.4449i | −0.590434 | + | 1.02266i | 0.403739 | + | 0.914874i | \(0.367710\pi\) |
−0.994174 | + | 0.107788i | \(0.965623\pi\) | |||||||
\(830\) | −6.92820 | − | 4.00000i | −0.240481 | − | 0.138842i | ||||
\(831\) | −10.0000 | −0.346896 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 18.0000 | 0.623663 | ||||||||
\(834\) | −10.3923 | − | 6.00000i | −0.359856 | − | 0.207763i | ||||
\(835\) | 8.00000 | − | 13.8564i | 0.276851 | − | 0.479521i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 4.00000i | 0.138260i | ||||||||
\(838\) | −3.46410 | + | 2.00000i | −0.119665 | + | 0.0690889i | ||||
\(839\) | 41.5692 | − | 24.0000i | 1.43513 | − | 0.828572i | 0.437623 | − | 0.899158i | \(-0.355820\pi\) |
0.997506 | + | 0.0705865i | \(0.0224871\pi\) | |||||||
\(840\) | − | 24.0000i | − | 0.828079i | ||||||
\(841\) | −35.5000 | − | 61.4878i | −1.22414 | − | 2.12027i | ||||
\(842\) | −5.00000 | + | 8.66025i | −0.172311 | + | 0.298452i | ||||
\(843\) | −8.66025 | − | 5.00000i | −0.298275 | − | 0.172209i | ||||
\(844\) | −20.0000 | −0.688428 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −17.3205 | − | 10.0000i | −0.595140 | − | 0.343604i | ||||
\(848\) | 3.00000 | − | 5.19615i | 0.103020 | − | 0.178437i | ||||
\(849\) | −6.00000 | − | 10.3923i | −0.205919 | − | 0.356663i | ||||
\(850\) | 2.00000i | 0.0685994i | ||||||||
\(851\) | 0 | 0 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 30.0000i | 1.02718i | 0.858036 | + | 0.513590i | \(0.171685\pi\) | ||||
−0.858036 | + | 0.513590i | \(0.828315\pi\) | |||||||
\(854\) | −4.00000 | − | 6.92820i | −0.136877 | − | 0.237078i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 31.1769 | + | 18.0000i | 1.06561 | + | 0.615227i | ||||
\(857\) | 46.0000 | 1.57133 | 0.785665 | − | 0.618652i | \(-0.212321\pi\) | ||||
0.785665 | + | 0.618652i | \(0.212321\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −44.0000 | −1.50126 | −0.750630 | − | 0.660722i | \(-0.770250\pi\) | ||||
−0.750630 | + | 0.660722i | \(0.770250\pi\) | |||||||
\(860\) | 20.7846 | + | 12.0000i | 0.708749 | + | 0.409197i | ||||
\(861\) | −12.0000 | + | 20.7846i | −0.408959 | + | 0.708338i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | − | 16.0000i | − | 0.544646i | −0.962206 | − | 0.272323i | \(-0.912208\pi\) | ||
0.962206 | − | 0.272323i | \(-0.0877920\pi\) | |||||||
\(864\) | 4.33013 | − | 2.50000i | 0.147314 | − | 0.0850517i | ||||
\(865\) | 10.3923 | − | 6.00000i | 0.353349 | − | 0.204006i | ||||
\(866\) | 34.0000i | 1.15537i | ||||||||
\(867\) | −6.50000 | − | 11.2583i | −0.220752 | − | 0.382353i | ||||
\(868\) | 8.00000 | − | 13.8564i | 0.271538 | − | 0.470317i | ||||
\(869\) | −27.7128 | − | 16.0000i | −0.940093 | − | 0.542763i | ||||
\(870\) | −20.0000 | −0.678064 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 6.00000 | 0.203186 | ||||||||
\(873\) | 8.66025 | + | 5.00000i | 0.293105 | + | 0.169224i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 24.0000 | + | 41.5692i | 0.811348 | + | 1.40530i | ||||
\(876\) | − | 2.00000i | − | 0.0675737i | ||||||
\(877\) | 8.66025 | − | 5.00000i | 0.292436 | − | 0.168838i | −0.346604 | − | 0.938012i | \(-0.612665\pi\) |
0.639040 | + | 0.769174i | \(0.279332\pi\) | |||||||
\(878\) | 27.7128 | − | 16.0000i | 0.935262 | − | 0.539974i | ||||
\(879\) | 6.00000i | 0.202375i | ||||||||
\(880\) | 4.00000 | + | 6.92820i | 0.134840 | + | 0.233550i | ||||
\(881\) | 29.0000 | − | 50.2295i | 0.977035 | − | 1.69227i | 0.303985 | − | 0.952677i | \(-0.401683\pi\) |
0.673050 | − | 0.739597i | \(-0.264984\pi\) | |||||||
\(882\) | −7.79423 | − | 4.50000i | −0.262445 | − | 0.151523i | ||||
\(883\) | 44.0000 | 1.48072 | 0.740359 | − | 0.672212i | \(-0.234656\pi\) | ||||
0.740359 | + | 0.672212i | \(0.234656\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −24.0000 | −0.806751 | ||||||||
\(886\) | −3.46410 | − | 2.00000i | −0.116379 | − | 0.0671913i | ||||
\(887\) | 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 | ||||
\(889\) | − | 64.0000i | − | 2.14649i | ||||||
\(890\) | 3.46410 | − | 2.00000i | 0.116117 | − | 0.0670402i | ||||
\(891\) | 3.46410 | − | 2.00000i | 0.116052 | − | 0.0670025i | ||||
\(892\) | − | 4.00000i | − | 0.133930i | ||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 3.00000 | − | 5.19615i | 0.100335 | − | 0.173785i | ||||
\(895\) | −6.92820 | − | 4.00000i | −0.231584 | − | 0.133705i | ||||
\(896\) | −12.0000 | −0.400892 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 22.0000 | 0.734150 | ||||||||
\(899\) | −34.6410 | − | 20.0000i | −1.15534 | − | 0.667037i | ||||
\(900\) | −0.500000 | + | 0.866025i | −0.0166667 | + | 0.0288675i | ||||
\(901\) | 6.00000 | + | 10.3923i | 0.199889 | + | 0.346218i | ||||
\(902\) | − | 24.0000i | − | 0.799113i | ||||||
\(903\) | 41.5692 | − | 24.0000i | 1.38334 | − | 0.798670i | ||||
\(904\) | 15.5885 | − | 9.00000i | 0.518464 | − | 0.299336i | ||||
\(905\) | − | 20.0000i | − | 0.664822i | ||||||
\(906\) | 2.00000 | + | 3.46410i | 0.0664455 | + | 0.115087i | ||||
\(907\) | 6.00000 | − | 10.3923i | 0.199227 | − | 0.345071i | −0.749051 | − | 0.662512i | \(-0.769490\pi\) |
0.948278 | + | 0.317441i | \(0.102824\pi\) | |||||||
\(908\) | −17.3205 | − | 10.0000i | −0.574801 | − | 0.331862i | ||||
\(909\) | 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 | ||||
\(915\) | − | 4.00000i | − | 0.132236i | ||||||
\(916\) | −8.66025 | + | 5.00000i | −0.286143 | + | 0.165205i | ||||
\(917\) | −13.8564 | + | 8.00000i | −0.457579 | + | 0.264183i | ||||
\(918\) | − | 2.00000i | − | 0.0660098i | ||||||
\(919\) | 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 | ||||||||
\(921\) | −13.8564 | − | 8.00000i | −0.456584 | − | 0.263609i | ||||
\(922\) | 38.0000 | 1.25146 | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | −16.0000 | −0.526361 | ||||||||
\(925\) | 1.73205 | + | 1.00000i | 0.0569495 | + | 0.0328798i | ||||
\(926\) | −2.00000 | + | 3.46410i | −0.0657241 | + | 0.113837i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 50.0000i | 1.64133i | ||||||||
\(929\) | −25.9808 | + | 15.0000i | −0.852401 | + | 0.492134i | −0.861460 | − | 0.507825i | \(-0.830450\pi\) |
0.00905914 | + | 0.999959i | \(0.497116\pi\) | |||||||
\(930\) | −6.92820 | + | 4.00000i | −0.227185 | + | 0.131165i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −7.00000 | − | 12.1244i | −0.229293 | − | 0.397146i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −10.3923 | − | 6.00000i | −0.340047 | − | 0.196326i | ||||
\(935\) | −16.0000 | −0.523256 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 26.0000 | 0.849383 | 0.424691 | − | 0.905338i | \(-0.360383\pi\) | ||||
0.424691 | + | 0.905338i | \(0.360383\pi\) | |||||||
\(938\) | 27.7128 | + | 16.0000i | 0.904855 | + | 0.522419i | ||||
\(939\) | −3.00000 | + | 5.19615i | −0.0979013 | + | 0.169570i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 14.0000i | 0.456387i | 0.973616 | + | 0.228193i | \(0.0732819\pi\) | ||||
−0.973616 | + | 0.228193i | \(0.926718\pi\) | |||||||
\(942\) | −15.5885 | + | 9.00000i | −0.507899 | + | 0.293236i | ||||
\(943\) | 0 | 0 | ||||||||
\(944\) | − | 12.0000i | − | 0.390567i | ||||||
\(945\) | −4.00000 | − | 6.92820i | −0.130120 | − | 0.225374i | ||||
\(946\) | −24.0000 | + | 41.5692i | −0.780307 | + | 1.35153i | ||||
\(947\) | 51.9615 | + | 30.0000i | 1.68852 | + | 0.974869i | 0.955651 | + | 0.294502i | \(0.0951539\pi\) |
0.732872 | + | 0.680367i | \(0.238179\pi\) | |||||||
\(948\) | −8.00000 | −0.259828 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −22.5167 | − | 13.0000i | −0.730153 | − | 0.421554i | ||||
\(952\) | −12.0000 | + | 20.7846i | −0.388922 | + | 0.673633i | ||||
\(953\) | −15.0000 | − | 25.9808i | −0.485898 | − | 0.841599i | 0.513971 | − | 0.857808i | \(-0.328174\pi\) |
−0.999869 | + | 0.0162081i | \(0.994841\pi\) | |||||||
\(954\) | − | 6.00000i | − | 0.194257i | ||||||
\(955\) | −13.8564 | + | 8.00000i | −0.448383 | + | 0.258874i | ||||
\(956\) | 20.7846 | − | 12.0000i | 0.672222 | − | 0.388108i | ||||
\(957\) | 40.0000i | 1.29302i | ||||||||
\(958\) | 12.0000 | + | 20.7846i | 0.387702 | + | 0.671520i | ||||
\(959\) | −12.0000 | + | 20.7846i | −0.387500 | + | 0.671170i | ||||
\(960\) | 12.1244 | + | 7.00000i | 0.391312 | + | 0.225924i | ||||
\(961\) | 15.0000 | 0.483871 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 12.0000 | 0.386695 | ||||||||
\(964\) | −8.66025 | − | 5.00000i | −0.278928 | − | 0.161039i | ||||
\(965\) | −18.0000 | + | 31.1769i | −0.579441 | + | 1.00362i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 52.0000i | 1.67221i | 0.548572 | + | 0.836104i | \(0.315172\pi\) | ||||
−0.548572 | + | 0.836104i | \(0.684828\pi\) | |||||||
\(968\) | 12.9904 | − | 7.50000i | 0.417527 | − | 0.241059i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 20.0000i | 0.642161i | ||||||||
\(971\) | 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 | ||||
\(973\) | 41.5692 | + | 24.0000i | 1.33265 | + | 0.769405i | ||||
\(974\) | −12.0000 | −0.384505 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 2.00000 | 0.0640184 | ||||||||
\(977\) | −36.3731 | − | 21.0000i | −1.16368 | − | 0.671850i | −0.211495 | − | 0.977379i | \(-0.567833\pi\) |
−0.952183 | + | 0.305530i | \(0.901167\pi\) | |||||||
\(978\) | 4.00000 | − | 6.92820i | 0.127906 | − | 0.221540i | ||||
\(979\) | −4.00000 | − | 6.92820i | −0.127841 | − | 0.221426i | ||||
\(980\) | 18.0000i | 0.574989i | ||||||||
\(981\) | 1.73205 | − | 1.00000i | 0.0553001 | − | 0.0319275i | ||||
\(982\) | −10.3923 | + | 6.00000i | −0.331632 | + | 0.191468i | ||||
\(983\) | 16.0000i | 0.510321i | 0.966899 | + | 0.255160i | \(0.0821283\pi\) | ||||
−0.966899 | + | 0.255160i | \(0.917872\pi\) | |||||||
\(984\) | −9.00000 | − | 15.5885i | −0.286910 | − | 0.496942i | ||||
\(985\) | 18.0000 | − | 31.1769i | 0.573528 | − | 0.993379i | ||||
\(986\) | 17.3205 | + | 10.0000i | 0.551597 | + | 0.318465i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 6.92820 | + | 4.00000i | 0.220193 | + | 0.127128i | ||||
\(991\) | −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 | ||||
\(993\) | − | 16.0000i | − | 0.507745i | ||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 13.8564 | − | 8.00000i | 0.439278 | − | 0.253617i | ||||
\(996\) | 4.00000i | 0.126745i | ||||||||
\(997\) | 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 | ||||
\(999\) | −1.73205 | − | 1.00000i | −0.0547997 | − | 0.0316386i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))