Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(49,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.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: | \(7.58578819202\) |
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 38) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 349.2 | ||
Root | \(0.866025 - 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 950.349 |
Dual form | 950.2.j.e.49.2 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | − | 0.500000i | 0.612372 | − | 0.353553i | ||||
\(3\) | 0.866025 | − | 0.500000i | 0.500000 | − | 0.288675i | −0.228714 | − | 0.973494i | \(-0.573452\pi\) |
0.728714 | + | 0.684819i | \(0.240119\pi\) | |||||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.500000 | − | 0.866025i | 0.204124 | − | 0.353553i | ||||
\(7\) | 4.00000i | 1.51186i | 0.654654 | + | 0.755929i | \(0.272814\pi\) | ||||
−0.654654 | + | 0.755929i | \(0.727186\pi\) | |||||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | −1.00000 | + | 1.73205i | −0.333333 | + | 0.577350i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.00000 | 0.904534 | 0.452267 | − | 0.891883i | \(-0.350615\pi\) | ||||
0.452267 | + | 0.891883i | \(0.350615\pi\) | |||||||
\(12\) | − | 1.00000i | − | 0.288675i | ||||||
\(13\) | −1.73205 | − | 1.00000i | −0.480384 | − | 0.277350i | 0.240192 | − | 0.970725i | \(-0.422790\pi\) |
−0.720577 | + | 0.693375i | \(0.756123\pi\) | |||||||
\(14\) | 2.00000 | + | 3.46410i | 0.534522 | + | 0.925820i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 5.19615 | − | 3.00000i | 1.26025 | − | 0.727607i | 0.287129 | − | 0.957892i | \(-0.407299\pi\) |
0.973123 | + | 0.230285i | \(0.0739659\pi\) | |||||||
\(18\) | 2.00000i | 0.471405i | ||||||||
\(19\) | 3.50000 | − | 2.59808i | 0.802955 | − | 0.596040i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.00000 | + | 3.46410i | 0.436436 | + | 0.755929i | ||||
\(22\) | 2.59808 | − | 1.50000i | 0.553912 | − | 0.319801i | ||||
\(23\) | 5.19615 | + | 3.00000i | 1.08347 | + | 0.625543i | 0.931831 | − | 0.362892i | \(-0.118211\pi\) |
0.151642 | + | 0.988436i | \(0.451544\pi\) | |||||||
\(24\) | −0.500000 | − | 0.866025i | −0.102062 | − | 0.176777i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −2.00000 | −0.392232 | ||||||||
\(27\) | 5.00000i | 0.962250i | ||||||||
\(28\) | 3.46410 | + | 2.00000i | 0.654654 | + | 0.377964i | ||||
\(29\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.00000 | 0.359211 | 0.179605 | − | 0.983739i | \(-0.442518\pi\) | ||||
0.179605 | + | 0.983739i | \(0.442518\pi\) | |||||||
\(32\) | −0.866025 | − | 0.500000i | −0.153093 | − | 0.0883883i | ||||
\(33\) | 2.59808 | − | 1.50000i | 0.452267 | − | 0.261116i | ||||
\(34\) | 3.00000 | − | 5.19615i | 0.514496 | − | 0.891133i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.00000 | + | 1.73205i | 0.166667 | + | 0.288675i | ||||
\(37\) | 10.0000i | 1.64399i | 0.569495 | + | 0.821995i | \(0.307139\pi\) | ||||
−0.569495 | + | 0.821995i | \(0.692861\pi\) | |||||||
\(38\) | 1.73205 | − | 4.00000i | 0.280976 | − | 0.648886i | ||||
\(39\) | −2.00000 | −0.320256 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −4.50000 | − | 7.79423i | −0.702782 | − | 1.21725i | −0.967486 | − | 0.252924i | \(-0.918608\pi\) |
0.264704 | − | 0.964330i | \(-0.414726\pi\) | |||||||
\(42\) | 3.46410 | + | 2.00000i | 0.534522 | + | 0.308607i | ||||
\(43\) | −3.46410 | + | 2.00000i | −0.528271 | + | 0.304997i | −0.740312 | − | 0.672264i | \(-0.765322\pi\) |
0.212041 | + | 0.977261i | \(0.431989\pi\) | |||||||
\(44\) | 1.50000 | − | 2.59808i | 0.226134 | − | 0.391675i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.00000 | 0.884652 | ||||||||
\(47\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(48\) | −0.866025 | − | 0.500000i | −0.125000 | − | 0.0721688i | ||||
\(49\) | −9.00000 | −1.28571 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 3.00000 | − | 5.19615i | 0.420084 | − | 0.727607i | ||||
\(52\) | −1.73205 | + | 1.00000i | −0.240192 | + | 0.138675i | ||||
\(53\) | −5.19615 | − | 3.00000i | −0.713746 | − | 0.412082i | 0.0987002 | − | 0.995117i | \(-0.468532\pi\) |
−0.812447 | + | 0.583036i | \(0.801865\pi\) | |||||||
\(54\) | 2.50000 | + | 4.33013i | 0.340207 | + | 0.589256i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 4.00000 | 0.534522 | ||||||||
\(57\) | 1.73205 | − | 4.00000i | 0.229416 | − | 0.529813i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −4.50000 | − | 7.79423i | −0.585850 | − | 1.01472i | −0.994769 | − | 0.102151i | \(-0.967427\pi\) |
0.408919 | − | 0.912571i | \(-0.365906\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.00000 | − | 3.46410i | 0.256074 | − | 0.443533i | −0.709113 | − | 0.705095i | \(-0.750904\pi\) |
0.965187 | + | 0.261562i | \(0.0842377\pi\) | |||||||
\(62\) | 1.73205 | − | 1.00000i | 0.219971 | − | 0.127000i | ||||
\(63\) | −6.92820 | − | 4.00000i | −0.872872 | − | 0.503953i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 1.50000 | − | 2.59808i | 0.184637 | − | 0.319801i | ||||
\(67\) | −6.06218 | − | 3.50000i | −0.740613 | − | 0.427593i | 0.0816792 | − | 0.996659i | \(-0.473972\pi\) |
−0.822292 | + | 0.569066i | \(0.807305\pi\) | |||||||
\(68\) | − | 6.00000i | − | 0.727607i | ||||||
\(69\) | 6.00000 | 0.722315 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.00000 | + | 5.19615i | 0.356034 | + | 0.616670i | 0.987294 | − | 0.158901i | \(-0.0507952\pi\) |
−0.631260 | + | 0.775571i | \(0.717462\pi\) | |||||||
\(72\) | 1.73205 | + | 1.00000i | 0.204124 | + | 0.117851i | ||||
\(73\) | −0.866025 | + | 0.500000i | −0.101361 | + | 0.0585206i | −0.549823 | − | 0.835281i | \(-0.685305\pi\) |
0.448463 | + | 0.893801i | \(0.351972\pi\) | |||||||
\(74\) | 5.00000 | + | 8.66025i | 0.581238 | + | 1.00673i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.500000 | − | 4.33013i | −0.0573539 | − | 0.496700i | ||||
\(77\) | 12.0000i | 1.36753i | ||||||||
\(78\) | −1.73205 | + | 1.00000i | −0.196116 | + | 0.113228i | ||||
\(79\) | −2.00000 | − | 3.46410i | −0.225018 | − | 0.389742i | 0.731307 | − | 0.682048i | \(-0.238911\pi\) |
−0.956325 | + | 0.292306i | \(0.905577\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −7.79423 | − | 4.50000i | −0.860729 | − | 0.496942i | ||||
\(83\) | 3.00000i | 0.329293i | 0.986353 | + | 0.164646i | \(0.0526483\pi\) | ||||
−0.986353 | + | 0.164646i | \(0.947352\pi\) | |||||||
\(84\) | 4.00000 | 0.436436 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −2.00000 | + | 3.46410i | −0.215666 | + | 0.373544i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | − | 3.00000i | − | 0.319801i | ||||||
\(89\) | 3.00000 | − | 5.19615i | 0.317999 | − | 0.550791i | −0.662071 | − | 0.749441i | \(-0.730322\pi\) |
0.980071 | + | 0.198650i | \(0.0636557\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.00000 | − | 6.92820i | 0.419314 | − | 0.726273i | ||||
\(92\) | 5.19615 | − | 3.00000i | 0.541736 | − | 0.312772i | ||||
\(93\) | 1.73205 | − | 1.00000i | 0.179605 | − | 0.103695i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −1.00000 | −0.102062 | ||||||||
\(97\) | −14.7224 | + | 8.50000i | −1.49484 | + | 0.863044i | −0.999982 | − | 0.00593185i | \(-0.998112\pi\) |
−0.494854 | + | 0.868976i | \(0.664778\pi\) | |||||||
\(98\) | −7.79423 | + | 4.50000i | −0.787336 | + | 0.454569i | ||||
\(99\) | −3.00000 | + | 5.19615i | −0.301511 | + | 0.522233i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(102\) | − | 6.00000i | − | 0.594089i | ||||||
\(103\) | 2.00000i | 0.197066i | 0.995134 | + | 0.0985329i | \(0.0314150\pi\) | ||||
−0.995134 | + | 0.0985329i | \(0.968585\pi\) | |||||||
\(104\) | −1.00000 | + | 1.73205i | −0.0980581 | + | 0.169842i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −6.00000 | −0.582772 | ||||||||
\(107\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(108\) | 4.33013 | + | 2.50000i | 0.416667 | + | 0.240563i | ||||
\(109\) | −8.00000 | − | 13.8564i | −0.766261 | − | 1.32720i | −0.939577 | − | 0.342337i | \(-0.888782\pi\) |
0.173316 | − | 0.984866i | \(-0.444552\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 5.00000 | + | 8.66025i | 0.474579 | + | 0.821995i | ||||
\(112\) | 3.46410 | − | 2.00000i | 0.327327 | − | 0.188982i | ||||
\(113\) | 15.0000i | 1.41108i | 0.708669 | + | 0.705541i | \(0.249296\pi\) | ||||
−0.708669 | + | 0.705541i | \(0.750704\pi\) | |||||||
\(114\) | −0.500000 | − | 4.33013i | −0.0468293 | − | 0.405554i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 3.46410 | − | 2.00000i | 0.320256 | − | 0.184900i | ||||
\(118\) | −7.79423 | − | 4.50000i | −0.717517 | − | 0.414259i | ||||
\(119\) | 12.0000 | + | 20.7846i | 1.10004 | + | 1.90532i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.00000 | −0.181818 | ||||||||
\(122\) | − | 4.00000i | − | 0.362143i | ||||||
\(123\) | −7.79423 | − | 4.50000i | −0.702782 | − | 0.405751i | ||||
\(124\) | 1.00000 | − | 1.73205i | 0.0898027 | − | 0.155543i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −8.00000 | −0.712697 | ||||||||
\(127\) | 1.73205 | + | 1.00000i | 0.153695 | + | 0.0887357i | 0.574875 | − | 0.818241i | \(-0.305051\pi\) |
−0.421180 | + | 0.906977i | \(0.638384\pi\) | |||||||
\(128\) | −0.866025 | + | 0.500000i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | −2.00000 | + | 3.46410i | −0.176090 | + | 0.304997i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −4.50000 | − | 7.79423i | −0.393167 | − | 0.680985i | 0.599699 | − | 0.800226i | \(-0.295287\pi\) |
−0.992865 | + | 0.119241i | \(0.961954\pi\) | |||||||
\(132\) | − | 3.00000i | − | 0.261116i | ||||||
\(133\) | 10.3923 | + | 14.0000i | 0.901127 | + | 1.21395i | ||||
\(134\) | −7.00000 | −0.604708 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.00000 | − | 5.19615i | −0.257248 | − | 0.445566i | ||||
\(137\) | 7.79423 | + | 4.50000i | 0.665906 | + | 0.384461i | 0.794524 | − | 0.607233i | \(-0.207721\pi\) |
−0.128618 | + | 0.991694i | \(0.541054\pi\) | |||||||
\(138\) | 5.19615 | − | 3.00000i | 0.442326 | − | 0.255377i | ||||
\(139\) | 5.50000 | − | 9.52628i | 0.466504 | − | 0.808008i | −0.532764 | − | 0.846264i | \(-0.678847\pi\) |
0.999268 | + | 0.0382553i | \(0.0121800\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 5.19615 | + | 3.00000i | 0.436051 | + | 0.251754i | ||||
\(143\) | −5.19615 | − | 3.00000i | −0.434524 | − | 0.250873i | ||||
\(144\) | 2.00000 | 0.166667 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −0.500000 | + | 0.866025i | −0.0413803 | + | 0.0716728i | ||||
\(147\) | −7.79423 | + | 4.50000i | −0.642857 | + | 0.371154i | ||||
\(148\) | 8.66025 | + | 5.00000i | 0.711868 | + | 0.410997i | ||||
\(149\) | 9.00000 | + | 15.5885i | 0.737309 | + | 1.27706i | 0.953703 | + | 0.300750i | \(0.0972370\pi\) |
−0.216394 | + | 0.976306i | \(0.569430\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −10.0000 | −0.813788 | −0.406894 | − | 0.913475i | \(-0.633388\pi\) | ||||
−0.406894 | + | 0.913475i | \(0.633388\pi\) | |||||||
\(152\) | −2.59808 | − | 3.50000i | −0.210732 | − | 0.283887i | ||||
\(153\) | 12.0000i | 0.970143i | ||||||||
\(154\) | 6.00000 | + | 10.3923i | 0.483494 | + | 0.837436i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −1.00000 | + | 1.73205i | −0.0800641 | + | 0.138675i | ||||
\(157\) | 13.8564 | − | 8.00000i | 1.10586 | − | 0.638470i | 0.168107 | − | 0.985769i | \(-0.446235\pi\) |
0.937754 | + | 0.347299i | \(0.112901\pi\) | |||||||
\(158\) | −3.46410 | − | 2.00000i | −0.275589 | − | 0.159111i | ||||
\(159\) | −6.00000 | −0.475831 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −12.0000 | + | 20.7846i | −0.945732 | + | 1.63806i | ||||
\(162\) | −0.866025 | − | 0.500000i | −0.0680414 | − | 0.0392837i | ||||
\(163\) | − | 19.0000i | − | 1.48819i | −0.668071 | − | 0.744097i | \(-0.732880\pi\) | ||
0.668071 | − | 0.744097i | \(-0.267120\pi\) | |||||||
\(164\) | −9.00000 | −0.702782 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1.50000 | + | 2.59808i | 0.116423 | + | 0.201650i | ||||
\(167\) | −20.7846 | − | 12.0000i | −1.60836 | − | 0.928588i | −0.989737 | − | 0.142901i | \(-0.954357\pi\) |
−0.618624 | − | 0.785687i | \(-0.712310\pi\) | |||||||
\(168\) | 3.46410 | − | 2.00000i | 0.267261 | − | 0.154303i | ||||
\(169\) | −4.50000 | − | 7.79423i | −0.346154 | − | 0.599556i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.00000 | + | 8.66025i | 0.0764719 | + | 0.662266i | ||||
\(172\) | 4.00000i | 0.304997i | ||||||||
\(173\) | 5.19615 | − | 3.00000i | 0.395056 | − | 0.228086i | −0.289292 | − | 0.957241i | \(-0.593420\pi\) |
0.684349 | + | 0.729155i | \(0.260087\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −1.50000 | − | 2.59808i | −0.113067 | − | 0.195837i | ||||
\(177\) | −7.79423 | − | 4.50000i | −0.585850 | − | 0.338241i | ||||
\(178\) | − | 6.00000i | − | 0.449719i | ||||||
\(179\) | −9.00000 | −0.672692 | −0.336346 | − | 0.941739i | \(-0.609191\pi\) | ||||
−0.336346 | + | 0.941739i | \(0.609191\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.00000 | + | 1.73205i | −0.0743294 | + | 0.128742i | −0.900794 | − | 0.434246i | \(-0.857015\pi\) |
0.826465 | + | 0.562988i | \(0.190348\pi\) | |||||||
\(182\) | − | 8.00000i | − | 0.592999i | ||||||
\(183\) | − | 4.00000i | − | 0.295689i | ||||||
\(184\) | 3.00000 | − | 5.19615i | 0.221163 | − | 0.383065i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 1.00000 | − | 1.73205i | 0.0733236 | − | 0.127000i | ||||
\(187\) | 15.5885 | − | 9.00000i | 1.13994 | − | 0.658145i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −20.0000 | −1.45479 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 12.0000 | 0.868290 | 0.434145 | − | 0.900843i | \(-0.357051\pi\) | ||||
0.434145 | + | 0.900843i | \(0.357051\pi\) | |||||||
\(192\) | −0.866025 | + | 0.500000i | −0.0625000 | + | 0.0360844i | ||||
\(193\) | 1.73205 | − | 1.00000i | 0.124676 | − | 0.0719816i | −0.436365 | − | 0.899770i | \(-0.643734\pi\) |
0.561041 | + | 0.827788i | \(0.310401\pi\) | |||||||
\(194\) | −8.50000 | + | 14.7224i | −0.610264 | + | 1.05701i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −4.50000 | + | 7.79423i | −0.321429 | + | 0.556731i | ||||
\(197\) | − | 18.0000i | − | 1.28245i | −0.767354 | − | 0.641223i | \(-0.778427\pi\) | ||
0.767354 | − | 0.641223i | \(-0.221573\pi\) | |||||||
\(198\) | 6.00000i | 0.426401i | ||||||||
\(199\) | −5.00000 | + | 8.66025i | −0.354441 | + | 0.613909i | −0.987022 | − | 0.160585i | \(-0.948662\pi\) |
0.632581 | + | 0.774494i | \(0.281995\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −7.00000 | −0.493742 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −3.00000 | − | 5.19615i | −0.210042 | − | 0.363803i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 1.00000 | + | 1.73205i | 0.0696733 | + | 0.120678i | ||||
\(207\) | −10.3923 | + | 6.00000i | −0.722315 | + | 0.417029i | ||||
\(208\) | 2.00000i | 0.138675i | ||||||||
\(209\) | 10.5000 | − | 7.79423i | 0.726300 | − | 0.539138i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −10.0000 | − | 17.3205i | −0.688428 | − | 1.19239i | −0.972346 | − | 0.233544i | \(-0.924968\pi\) |
0.283918 | − | 0.958849i | \(-0.408366\pi\) | |||||||
\(212\) | −5.19615 | + | 3.00000i | −0.356873 | + | 0.206041i | ||||
\(213\) | 5.19615 | + | 3.00000i | 0.356034 | + | 0.205557i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 5.00000 | 0.340207 | ||||||||
\(217\) | 8.00000i | 0.543075i | ||||||||
\(218\) | −13.8564 | − | 8.00000i | −0.938474 | − | 0.541828i | ||||
\(219\) | −0.500000 | + | 0.866025i | −0.0337869 | + | 0.0585206i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −12.0000 | −0.807207 | ||||||||
\(222\) | 8.66025 | + | 5.00000i | 0.581238 | + | 0.335578i | ||||
\(223\) | 12.1244 | − | 7.00000i | 0.811907 | − | 0.468755i | −0.0357107 | − | 0.999362i | \(-0.511370\pi\) |
0.847618 | + | 0.530607i | \(0.178036\pi\) | |||||||
\(224\) | 2.00000 | − | 3.46410i | 0.133631 | − | 0.231455i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 7.50000 | + | 12.9904i | 0.498893 | + | 0.864107i | ||||
\(227\) | − | 3.00000i | − | 0.199117i | −0.995032 | − | 0.0995585i | \(-0.968257\pi\) | ||
0.995032 | − | 0.0995585i | \(-0.0317430\pi\) | |||||||
\(228\) | −2.59808 | − | 3.50000i | −0.172062 | − | 0.231793i | ||||
\(229\) | 16.0000 | 1.05731 | 0.528655 | − | 0.848837i | \(-0.322697\pi\) | ||||
0.528655 | + | 0.848837i | \(0.322697\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 6.00000 | + | 10.3923i | 0.394771 | + | 0.683763i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 2.59808 | − | 1.50000i | 0.170206 | − | 0.0982683i | −0.412477 | − | 0.910968i | \(-0.635336\pi\) |
0.582683 | + | 0.812700i | \(0.302003\pi\) | |||||||
\(234\) | 2.00000 | − | 3.46410i | 0.130744 | − | 0.226455i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −9.00000 | −0.585850 | ||||||||
\(237\) | −3.46410 | − | 2.00000i | −0.225018 | − | 0.129914i | ||||
\(238\) | 20.7846 | + | 12.0000i | 1.34727 | + | 0.777844i | ||||
\(239\) | 12.0000 | 0.776215 | 0.388108 | − | 0.921614i | \(-0.373129\pi\) | ||||
0.388108 | + | 0.921614i | \(0.373129\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2.50000 | + | 4.33013i | −0.161039 | + | 0.278928i | −0.935242 | − | 0.354010i | \(-0.884818\pi\) |
0.774202 | + | 0.632938i | \(0.218151\pi\) | |||||||
\(242\) | −1.73205 | + | 1.00000i | −0.111340 | + | 0.0642824i | ||||
\(243\) | −13.8564 | − | 8.00000i | −0.888889 | − | 0.513200i | ||||
\(244\) | −2.00000 | − | 3.46410i | −0.128037 | − | 0.221766i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −9.00000 | −0.573819 | ||||||||
\(247\) | −8.66025 | + | 1.00000i | −0.551039 | + | 0.0636285i | ||||
\(248\) | − | 2.00000i | − | 0.127000i | ||||||
\(249\) | 1.50000 | + | 2.59808i | 0.0950586 | + | 0.164646i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 1.50000 | − | 2.59808i | 0.0946792 | − | 0.163989i | −0.814795 | − | 0.579748i | \(-0.803151\pi\) |
0.909475 | + | 0.415759i | \(0.136484\pi\) | |||||||
\(252\) | −6.92820 | + | 4.00000i | −0.436436 | + | 0.251976i | ||||
\(253\) | 15.5885 | + | 9.00000i | 0.980038 | + | 0.565825i | ||||
\(254\) | 2.00000 | 0.125491 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 2.59808 | + | 1.50000i | 0.162064 | + | 0.0935674i | 0.578838 | − | 0.815442i | \(-0.303506\pi\) |
−0.416775 | + | 0.909010i | \(0.636840\pi\) | |||||||
\(258\) | 4.00000i | 0.249029i | ||||||||
\(259\) | −40.0000 | −2.48548 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −7.79423 | − | 4.50000i | −0.481529 | − | 0.278011i | ||||
\(263\) | −10.3923 | + | 6.00000i | −0.640817 | + | 0.369976i | −0.784929 | − | 0.619586i | \(-0.787301\pi\) |
0.144112 | + | 0.989561i | \(0.453967\pi\) | |||||||
\(264\) | −1.50000 | − | 2.59808i | −0.0923186 | − | 0.159901i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 16.0000 | + | 6.92820i | 0.981023 | + | 0.424795i | ||||
\(267\) | − | 6.00000i | − | 0.367194i | ||||||
\(268\) | −6.06218 | + | 3.50000i | −0.370306 | + | 0.213797i | ||||
\(269\) | 6.00000 | + | 10.3923i | 0.365826 | + | 0.633630i | 0.988908 | − | 0.148527i | \(-0.0474530\pi\) |
−0.623082 | + | 0.782157i | \(0.714120\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 8.00000 | + | 13.8564i | 0.485965 | + | 0.841717i | 0.999870 | − | 0.0161307i | \(-0.00513477\pi\) |
−0.513905 | + | 0.857847i | \(0.671801\pi\) | |||||||
\(272\) | −5.19615 | − | 3.00000i | −0.315063 | − | 0.181902i | ||||
\(273\) | − | 8.00000i | − | 0.484182i | ||||||
\(274\) | 9.00000 | 0.543710 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 3.00000 | − | 5.19615i | 0.180579 | − | 0.312772i | ||||
\(277\) | − | 8.00000i | − | 0.480673i | −0.970690 | − | 0.240337i | \(-0.922742\pi\) | ||
0.970690 | − | 0.240337i | \(-0.0772579\pi\) | |||||||
\(278\) | − | 11.0000i | − | 0.659736i | ||||||
\(279\) | −2.00000 | + | 3.46410i | −0.119737 | + | 0.207390i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −13.5000 | + | 23.3827i | −0.805342 | + | 1.39489i | 0.110717 | + | 0.993852i | \(0.464685\pi\) |
−0.916060 | + | 0.401042i | \(0.868648\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 4.33013 | − | 2.50000i | 0.257399 | − | 0.148610i | −0.365748 | − | 0.930714i | \(-0.619187\pi\) |
0.623148 | + | 0.782104i | \(0.285854\pi\) | |||||||
\(284\) | 6.00000 | 0.356034 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −6.00000 | −0.354787 | ||||||||
\(287\) | 31.1769 | − | 18.0000i | 1.84032 | − | 1.06251i | ||||
\(288\) | 1.73205 | − | 1.00000i | 0.102062 | − | 0.0589256i | ||||
\(289\) | 9.50000 | − | 16.4545i | 0.558824 | − | 0.967911i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −8.50000 | + | 14.7224i | −0.498279 | + | 0.863044i | ||||
\(292\) | 1.00000i | 0.0585206i | ||||||||
\(293\) | 24.0000i | 1.40209i | 0.713115 | + | 0.701047i | \(0.247284\pi\) | ||||
−0.713115 | + | 0.701047i | \(0.752716\pi\) | |||||||
\(294\) | −4.50000 | + | 7.79423i | −0.262445 | + | 0.454569i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 10.0000 | 0.581238 | ||||||||
\(297\) | 15.0000i | 0.870388i | ||||||||
\(298\) | 15.5885 | + | 9.00000i | 0.903015 | + | 0.521356i | ||||
\(299\) | −6.00000 | − | 10.3923i | −0.346989 | − | 0.601003i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.00000 | − | 13.8564i | −0.461112 | − | 0.798670i | ||||
\(302\) | −8.66025 | + | 5.00000i | −0.498342 | + | 0.287718i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −4.00000 | − | 1.73205i | −0.229416 | − | 0.0993399i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 6.00000 | + | 10.3923i | 0.342997 | + | 0.594089i | ||||
\(307\) | 6.06218 | − | 3.50000i | 0.345987 | − | 0.199756i | −0.316929 | − | 0.948449i | \(-0.602652\pi\) |
0.662916 | + | 0.748694i | \(0.269319\pi\) | |||||||
\(308\) | 10.3923 | + | 6.00000i | 0.592157 | + | 0.341882i | ||||
\(309\) | 1.00000 | + | 1.73205i | 0.0568880 | + | 0.0985329i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −30.0000 | −1.70114 | −0.850572 | − | 0.525859i | \(-0.823744\pi\) | ||||
−0.850572 | + | 0.525859i | \(0.823744\pi\) | |||||||
\(312\) | 2.00000i | 0.113228i | ||||||||
\(313\) | 16.4545 | + | 9.50000i | 0.930062 | + | 0.536972i | 0.886831 | − | 0.462093i | \(-0.152902\pi\) |
0.0432311 | + | 0.999065i | \(0.486235\pi\) | |||||||
\(314\) | 8.00000 | − | 13.8564i | 0.451466 | − | 0.781962i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −4.00000 | −0.225018 | ||||||||
\(317\) | −15.5885 | − | 9.00000i | −0.875535 | − | 0.505490i | −0.00635137 | − | 0.999980i | \(-0.502022\pi\) |
−0.869184 | + | 0.494489i | \(0.835355\pi\) | |||||||
\(318\) | −5.19615 | + | 3.00000i | −0.291386 | + | 0.168232i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 24.0000i | 1.33747i | ||||||||
\(323\) | 10.3923 | − | 24.0000i | 0.578243 | − | 1.33540i | ||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −9.50000 | − | 16.4545i | −0.526156 | − | 0.911330i | ||||
\(327\) | −13.8564 | − | 8.00000i | −0.766261 | − | 0.442401i | ||||
\(328\) | −7.79423 | + | 4.50000i | −0.430364 | + | 0.248471i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 5.00000 | 0.274825 | 0.137412 | − | 0.990514i | \(-0.456121\pi\) | ||||
0.137412 | + | 0.990514i | \(0.456121\pi\) | |||||||
\(332\) | 2.59808 | + | 1.50000i | 0.142588 | + | 0.0823232i | ||||
\(333\) | −17.3205 | − | 10.0000i | −0.949158 | − | 0.547997i | ||||
\(334\) | −24.0000 | −1.31322 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 2.00000 | − | 3.46410i | 0.109109 | − | 0.188982i | ||||
\(337\) | −9.52628 | + | 5.50000i | −0.518930 | + | 0.299604i | −0.736497 | − | 0.676441i | \(-0.763521\pi\) |
0.217567 | + | 0.976045i | \(0.430188\pi\) | |||||||
\(338\) | −7.79423 | − | 4.50000i | −0.423950 | − | 0.244768i | ||||
\(339\) | 7.50000 | + | 12.9904i | 0.407344 | + | 0.705541i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 6.00000 | 0.324918 | ||||||||
\(342\) | 5.19615 | + | 7.00000i | 0.280976 | + | 0.378517i | ||||
\(343\) | − | 8.00000i | − | 0.431959i | ||||||
\(344\) | 2.00000 | + | 3.46410i | 0.107833 | + | 0.186772i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 3.00000 | − | 5.19615i | 0.161281 | − | 0.279347i | ||||
\(347\) | 7.79423 | − | 4.50000i | 0.418416 | − | 0.241573i | −0.275983 | − | 0.961162i | \(-0.589003\pi\) |
0.694399 | + | 0.719590i | \(0.255670\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.00000 | 0.214115 | 0.107058 | − | 0.994253i | \(-0.465857\pi\) | ||||
0.107058 | + | 0.994253i | \(0.465857\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 5.00000 | − | 8.66025i | 0.266880 | − | 0.462250i | ||||
\(352\) | −2.59808 | − | 1.50000i | −0.138478 | − | 0.0799503i | ||||
\(353\) | 3.00000i | 0.159674i | 0.996808 | + | 0.0798369i | \(0.0254400\pi\) | ||||
−0.996808 | + | 0.0798369i | \(0.974560\pi\) | |||||||
\(354\) | −9.00000 | −0.478345 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −3.00000 | − | 5.19615i | −0.159000 | − | 0.275396i | ||||
\(357\) | 20.7846 | + | 12.0000i | 1.10004 | + | 0.635107i | ||||
\(358\) | −7.79423 | + | 4.50000i | −0.411938 | + | 0.237832i | ||||
\(359\) | −3.00000 | − | 5.19615i | −0.158334 | − | 0.274242i | 0.775934 | − | 0.630814i | \(-0.217279\pi\) |
−0.934268 | + | 0.356572i | \(0.883946\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 5.50000 | − | 18.1865i | 0.289474 | − | 0.957186i | ||||
\(362\) | 2.00000i | 0.105118i | ||||||||
\(363\) | −1.73205 | + | 1.00000i | −0.0909091 | + | 0.0524864i | ||||
\(364\) | −4.00000 | − | 6.92820i | −0.209657 | − | 0.363137i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −2.00000 | − | 3.46410i | −0.104542 | − | 0.181071i | ||||
\(367\) | −19.0526 | − | 11.0000i | −0.994535 | − | 0.574195i | −0.0879086 | − | 0.996129i | \(-0.528018\pi\) |
−0.906627 | + | 0.421933i | \(0.861352\pi\) | |||||||
\(368\) | − | 6.00000i | − | 0.312772i | ||||||
\(369\) | 18.0000 | 0.937043 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 12.0000 | − | 20.7846i | 0.623009 | − | 1.07908i | ||||
\(372\) | − | 2.00000i | − | 0.103695i | ||||||
\(373\) | − | 4.00000i | − | 0.207112i | −0.994624 | − | 0.103556i | \(-0.966978\pi\) | ||
0.994624 | − | 0.103556i | \(-0.0330221\pi\) | |||||||
\(374\) | 9.00000 | − | 15.5885i | 0.465379 | − | 0.806060i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −17.3205 | + | 10.0000i | −0.890871 | + | 0.514344i | ||||
\(379\) | 28.0000 | 1.43826 | 0.719132 | − | 0.694874i | \(-0.244540\pi\) | ||||
0.719132 | + | 0.694874i | \(0.244540\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 2.00000 | 0.102463 | ||||||||
\(382\) | 10.3923 | − | 6.00000i | 0.531717 | − | 0.306987i | ||||
\(383\) | −31.1769 | + | 18.0000i | −1.59307 | + | 0.919757i | −0.600289 | + | 0.799783i | \(0.704948\pi\) |
−0.992777 | + | 0.119974i | \(0.961719\pi\) | |||||||
\(384\) | −0.500000 | + | 0.866025i | −0.0255155 | + | 0.0441942i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 1.00000 | − | 1.73205i | 0.0508987 | − | 0.0881591i | ||||
\(387\) | − | 8.00000i | − | 0.406663i | ||||||
\(388\) | 17.0000i | 0.863044i | ||||||||
\(389\) | −18.0000 | + | 31.1769i | −0.912636 | + | 1.58073i | −0.102311 | + | 0.994753i | \(0.532624\pi\) |
−0.810326 | + | 0.585980i | \(0.800710\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 36.0000 | 1.82060 | ||||||||
\(392\) | 9.00000i | 0.454569i | ||||||||
\(393\) | −7.79423 | − | 4.50000i | −0.393167 | − | 0.226995i | ||||
\(394\) | −9.00000 | − | 15.5885i | −0.453413 | − | 0.785335i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 3.00000 | + | 5.19615i | 0.150756 | + | 0.261116i | ||||
\(397\) | 8.66025 | − | 5.00000i | 0.434646 | − | 0.250943i | −0.266678 | − | 0.963786i | \(-0.585926\pi\) |
0.701324 | + | 0.712843i | \(0.252593\pi\) | |||||||
\(398\) | 10.0000i | 0.501255i | ||||||||
\(399\) | 16.0000 | + | 6.92820i | 0.801002 | + | 0.346844i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 13.5000 | + | 23.3827i | 0.674158 | + | 1.16768i | 0.976714 | + | 0.214544i | \(0.0688266\pi\) |
−0.302556 | + | 0.953131i | \(0.597840\pi\) | |||||||
\(402\) | −6.06218 | + | 3.50000i | −0.302354 | + | 0.174564i | ||||
\(403\) | −3.46410 | − | 2.00000i | −0.172559 | − | 0.0996271i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 30.0000i | 1.48704i | ||||||||
\(408\) | −5.19615 | − | 3.00000i | −0.257248 | − | 0.148522i | ||||
\(409\) | 2.50000 | − | 4.33013i | 0.123617 | − | 0.214111i | −0.797574 | − | 0.603220i | \(-0.793884\pi\) |
0.921192 | + | 0.389109i | \(0.127217\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 9.00000 | 0.443937 | ||||||||
\(412\) | 1.73205 | + | 1.00000i | 0.0853320 | + | 0.0492665i | ||||
\(413\) | 31.1769 | − | 18.0000i | 1.53412 | − | 0.885722i | ||||
\(414\) | −6.00000 | + | 10.3923i | −0.294884 | + | 0.510754i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 1.00000 | + | 1.73205i | 0.0490290 | + | 0.0849208i | ||||
\(417\) | − | 11.0000i | − | 0.538672i | ||||||
\(418\) | 5.19615 | − | 12.0000i | 0.254152 | − | 0.586939i | ||||
\(419\) | 12.0000 | 0.586238 | 0.293119 | − | 0.956076i | \(-0.405307\pi\) | ||||
0.293119 | + | 0.956076i | \(0.405307\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.00000 | + | 8.66025i | 0.243685 | + | 0.422075i | 0.961761 | − | 0.273890i | \(-0.0883103\pi\) |
−0.718076 | + | 0.695965i | \(0.754977\pi\) | |||||||
\(422\) | −17.3205 | − | 10.0000i | −0.843149 | − | 0.486792i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −3.00000 | + | 5.19615i | −0.145693 | + | 0.252347i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 6.00000 | 0.290701 | ||||||||
\(427\) | 13.8564 | + | 8.00000i | 0.670559 | + | 0.387147i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −6.00000 | −0.289683 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 15.0000 | − | 25.9808i | 0.722525 | − | 1.25145i | −0.237460 | − | 0.971397i | \(-0.576315\pi\) |
0.959985 | − | 0.280052i | \(-0.0903517\pi\) | |||||||
\(432\) | 4.33013 | − | 2.50000i | 0.208333 | − | 0.120281i | ||||
\(433\) | −22.5167 | − | 13.0000i | −1.08208 | − | 0.624740i | −0.150624 | − | 0.988591i | \(-0.548128\pi\) |
−0.931457 | + | 0.363851i | \(0.881462\pi\) | |||||||
\(434\) | 4.00000 | + | 6.92820i | 0.192006 | + | 0.332564i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −16.0000 | −0.766261 | ||||||||
\(437\) | 25.9808 | − | 3.00000i | 1.24283 | − | 0.143509i | ||||
\(438\) | 1.00000i | 0.0477818i | ||||||||
\(439\) | 7.00000 | + | 12.1244i | 0.334092 | + | 0.578664i | 0.983310 | − | 0.181938i | \(-0.0582371\pi\) |
−0.649218 | + | 0.760602i | \(0.724904\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 9.00000 | − | 15.5885i | 0.428571 | − | 0.742307i | ||||
\(442\) | −10.3923 | + | 6.00000i | −0.494312 | + | 0.285391i | ||||
\(443\) | −7.79423 | − | 4.50000i | −0.370315 | − | 0.213801i | 0.303281 | − | 0.952901i | \(-0.401918\pi\) |
−0.673596 | + | 0.739100i | \(0.735251\pi\) | |||||||
\(444\) | 10.0000 | 0.474579 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 7.00000 | − | 12.1244i | 0.331460 | − | 0.574105i | ||||
\(447\) | 15.5885 | + | 9.00000i | 0.737309 | + | 0.425685i | ||||
\(448\) | − | 4.00000i | − | 0.188982i | ||||||
\(449\) | −9.00000 | −0.424736 | −0.212368 | − | 0.977190i | \(-0.568118\pi\) | ||||
−0.212368 | + | 0.977190i | \(0.568118\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −13.5000 | − | 23.3827i | −0.635690 | − | 1.10105i | ||||
\(452\) | 12.9904 | + | 7.50000i | 0.611016 | + | 0.352770i | ||||
\(453\) | −8.66025 | + | 5.00000i | −0.406894 | + | 0.234920i | ||||
\(454\) | −1.50000 | − | 2.59808i | −0.0703985 | − | 0.121934i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −4.00000 | − | 1.73205i | −0.187317 | − | 0.0811107i | ||||
\(457\) | − | 5.00000i | − | 0.233890i | −0.993138 | − | 0.116945i | \(-0.962690\pi\) | ||
0.993138 | − | 0.116945i | \(-0.0373101\pi\) | |||||||
\(458\) | 13.8564 | − | 8.00000i | 0.647467 | − | 0.373815i | ||||
\(459\) | 15.0000 | + | 25.9808i | 0.700140 | + | 1.21268i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −3.00000 | − | 5.19615i | −0.139724 | − | 0.242009i | 0.787668 | − | 0.616100i | \(-0.211288\pi\) |
−0.927392 | + | 0.374091i | \(0.877955\pi\) | |||||||
\(462\) | 10.3923 | + | 6.00000i | 0.483494 | + | 0.279145i | ||||
\(463\) | − | 34.0000i | − | 1.58011i | −0.613033 | − | 0.790057i | \(-0.710051\pi\) | ||
0.613033 | − | 0.790057i | \(-0.289949\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.50000 | − | 2.59808i | 0.0694862 | − | 0.120354i | ||||
\(467\) | 27.0000i | 1.24941i | 0.780860 | + | 0.624705i | \(0.214781\pi\) | ||||
−0.780860 | + | 0.624705i | \(0.785219\pi\) | |||||||
\(468\) | − | 4.00000i | − | 0.184900i | ||||||
\(469\) | 14.0000 | − | 24.2487i | 0.646460 | − | 1.11970i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 8.00000 | − | 13.8564i | 0.368621 | − | 0.638470i | ||||
\(472\) | −7.79423 | + | 4.50000i | −0.358758 | + | 0.207129i | ||||
\(473\) | −10.3923 | + | 6.00000i | −0.477839 | + | 0.275880i | ||||
\(474\) | −4.00000 | −0.183726 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 24.0000 | 1.10004 | ||||||||
\(477\) | 10.3923 | − | 6.00000i | 0.475831 | − | 0.274721i | ||||
\(478\) | 10.3923 | − | 6.00000i | 0.475333 | − | 0.274434i | ||||
\(479\) | 18.0000 | − | 31.1769i | 0.822441 | − | 1.42451i | −0.0814184 | − | 0.996680i | \(-0.525945\pi\) |
0.903859 | − | 0.427830i | \(-0.140722\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 10.0000 | − | 17.3205i | 0.455961 | − | 0.789747i | ||||
\(482\) | 5.00000i | 0.227744i | ||||||||
\(483\) | 24.0000i | 1.09204i | ||||||||
\(484\) | −1.00000 | + | 1.73205i | −0.0454545 | + | 0.0787296i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −16.0000 | −0.725775 | ||||||||
\(487\) | − | 2.00000i | − | 0.0906287i | −0.998973 | − | 0.0453143i | \(-0.985571\pi\) | ||
0.998973 | − | 0.0453143i | \(-0.0144289\pi\) | |||||||
\(488\) | −3.46410 | − | 2.00000i | −0.156813 | − | 0.0905357i | ||||
\(489\) | −9.50000 | − | 16.4545i | −0.429605 | − | 0.744097i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(492\) | −7.79423 | + | 4.50000i | −0.351391 | + | 0.202876i | ||||
\(493\) | 0 | 0 | ||||||||
\(494\) | −7.00000 | + | 5.19615i | −0.314945 | + | 0.233786i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.00000 | − | 1.73205i | −0.0449013 | − | 0.0777714i | ||||
\(497\) | −20.7846 | + | 12.0000i | −0.932317 | + | 0.538274i | ||||
\(498\) | 2.59808 | + | 1.50000i | 0.116423 | + | 0.0672166i | ||||
\(499\) | −12.5000 | − | 21.6506i | −0.559577 | − | 0.969216i | −0.997532 | − | 0.0702185i | \(-0.977630\pi\) |
0.437955 | − | 0.898997i | \(-0.355703\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −24.0000 | −1.07224 | ||||||||
\(502\) | − | 3.00000i | − | 0.133897i | ||||||
\(503\) | −5.19615 | − | 3.00000i | −0.231685 | − | 0.133763i | 0.379664 | − | 0.925124i | \(-0.376040\pi\) |
−0.611349 | + | 0.791361i | \(0.709373\pi\) | |||||||
\(504\) | −4.00000 | + | 6.92820i | −0.178174 | + | 0.308607i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 18.0000 | 0.800198 | ||||||||
\(507\) | −7.79423 | − | 4.50000i | −0.346154 | − | 0.199852i | ||||
\(508\) | 1.73205 | − | 1.00000i | 0.0768473 | − | 0.0443678i | ||||
\(509\) | −12.0000 | + | 20.7846i | −0.531891 | + | 0.921262i | 0.467416 | + | 0.884037i | \(0.345185\pi\) |
−0.999307 | + | 0.0372243i | \(0.988148\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2.00000 | − | 3.46410i | −0.0884748 | − | 0.153243i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 12.9904 | + | 17.5000i | 0.573539 | + | 0.772644i | ||||
\(514\) | 3.00000 | 0.132324 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 2.00000 | + | 3.46410i | 0.0880451 | + | 0.152499i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −34.6410 | + | 20.0000i | −1.52204 | + | 0.878750i | ||||
\(519\) | 3.00000 | − | 5.19615i | 0.131685 | − | 0.228086i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 9.00000 | 0.394297 | 0.197149 | − | 0.980374i | \(-0.436832\pi\) | ||||
0.197149 | + | 0.980374i | \(0.436832\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 24.2487 | + | 14.0000i | 1.06032 | + | 0.612177i | 0.925521 | − | 0.378695i | \(-0.123627\pi\) |
0.134801 | + | 0.990873i | \(0.456961\pi\) | |||||||
\(524\) | −9.00000 | −0.393167 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −6.00000 | + | 10.3923i | −0.261612 | + | 0.453126i | ||||
\(527\) | 10.3923 | − | 6.00000i | 0.452696 | − | 0.261364i | ||||
\(528\) | −2.59808 | − | 1.50000i | −0.113067 | − | 0.0652791i | ||||
\(529\) | 6.50000 | + | 11.2583i | 0.282609 | + | 0.489493i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 18.0000 | 0.781133 | ||||||||
\(532\) | 17.3205 | − | 2.00000i | 0.750939 | − | 0.0867110i | ||||
\(533\) | 18.0000i | 0.779667i | ||||||||
\(534\) | −3.00000 | − | 5.19615i | −0.129823 | − | 0.224860i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −3.50000 | + | 6.06218i | −0.151177 | + | 0.261846i | ||||
\(537\) | −7.79423 | + | 4.50000i | −0.336346 | + | 0.194189i | ||||
\(538\) | 10.3923 | + | 6.00000i | 0.448044 | + | 0.258678i | ||||
\(539\) | −27.0000 | −1.16297 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −22.0000 | + | 38.1051i | −0.945854 | + | 1.63827i | −0.191821 | + | 0.981430i | \(0.561439\pi\) |
−0.754032 | + | 0.656837i | \(0.771894\pi\) | |||||||
\(542\) | 13.8564 | + | 8.00000i | 0.595184 | + | 0.343629i | ||||
\(543\) | 2.00000i | 0.0858282i | ||||||||
\(544\) | −6.00000 | −0.257248 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −4.00000 | − | 6.92820i | −0.171184 | − | 0.296500i | ||||
\(547\) | −3.46410 | − | 2.00000i | −0.148114 | − | 0.0855138i | 0.424111 | − | 0.905610i | \(-0.360587\pi\) |
−0.572226 | + | 0.820096i | \(0.693920\pi\) | |||||||
\(548\) | 7.79423 | − | 4.50000i | 0.332953 | − | 0.192230i | ||||
\(549\) | 4.00000 | + | 6.92820i | 0.170716 | + | 0.295689i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | − | 6.00000i | − | 0.255377i | ||||||
\(553\) | 13.8564 | − | 8.00000i | 0.589234 | − | 0.340195i | ||||
\(554\) | −4.00000 | − | 6.92820i | −0.169944 | − | 0.294351i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −5.50000 | − | 9.52628i | −0.233252 | − | 0.404004i | ||||
\(557\) | 20.7846 | + | 12.0000i | 0.880672 | + | 0.508456i | 0.870880 | − | 0.491496i | \(-0.163550\pi\) |
0.00979220 | + | 0.999952i | \(0.496883\pi\) | |||||||
\(558\) | 4.00000i | 0.169334i | ||||||||
\(559\) | 8.00000 | 0.338364 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 9.00000 | − | 15.5885i | 0.379980 | − | 0.658145i | ||||
\(562\) | 27.0000i | 1.13893i | ||||||||
\(563\) | − | 21.0000i | − | 0.885044i | −0.896758 | − | 0.442522i | \(-0.854084\pi\) | ||
0.896758 | − | 0.442522i | \(-0.145916\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 2.50000 | − | 4.33013i | 0.105083 | − | 0.182009i | ||||
\(567\) | 3.46410 | − | 2.00000i | 0.145479 | − | 0.0839921i | ||||
\(568\) | 5.19615 | − | 3.00000i | 0.218026 | − | 0.125877i | ||||
\(569\) | 6.00000 | 0.251533 | 0.125767 | − | 0.992060i | \(-0.459861\pi\) | ||||
0.125767 | + | 0.992060i | \(0.459861\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.00000 | −0.292941 | −0.146470 | − | 0.989215i | \(-0.546791\pi\) | ||||
−0.146470 | + | 0.989215i | \(0.546791\pi\) | |||||||
\(572\) | −5.19615 | + | 3.00000i | −0.217262 | + | 0.125436i | ||||
\(573\) | 10.3923 | − | 6.00000i | 0.434145 | − | 0.250654i | ||||
\(574\) | 18.0000 | − | 31.1769i | 0.751305 | − | 1.30130i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 1.00000 | − | 1.73205i | 0.0416667 | − | 0.0721688i | ||||
\(577\) | − | 11.0000i | − | 0.457936i | −0.973434 | − | 0.228968i | \(-0.926465\pi\) | ||
0.973434 | − | 0.228968i | \(-0.0735351\pi\) | |||||||
\(578\) | − | 19.0000i | − | 0.790296i | ||||||
\(579\) | 1.00000 | − | 1.73205i | 0.0415586 | − | 0.0719816i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −12.0000 | −0.497844 | ||||||||
\(582\) | 17.0000i | 0.704673i | ||||||||
\(583\) | −15.5885 | − | 9.00000i | −0.645608 | − | 0.372742i | ||||
\(584\) | 0.500000 | + | 0.866025i | 0.0206901 | + | 0.0358364i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 12.0000 | + | 20.7846i | 0.495715 | + | 0.858604i | ||||
\(587\) | 10.3923 | − | 6.00000i | 0.428936 | − | 0.247647i | −0.269957 | − | 0.962872i | \(-0.587010\pi\) |
0.698893 | + | 0.715226i | \(0.253676\pi\) | |||||||
\(588\) | 9.00000i | 0.371154i | ||||||||
\(589\) | 7.00000 | − | 5.19615i | 0.288430 | − | 0.214104i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −9.00000 | − | 15.5885i | −0.370211 | − | 0.641223i | ||||
\(592\) | 8.66025 | − | 5.00000i | 0.355934 | − | 0.205499i | ||||
\(593\) | 18.1865 | + | 10.5000i | 0.746831 | + | 0.431183i | 0.824548 | − | 0.565792i | \(-0.191430\pi\) |
−0.0777165 | + | 0.996976i | \(0.524763\pi\) | |||||||
\(594\) | 7.50000 | + | 12.9904i | 0.307729 | + | 0.533002i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 18.0000 | 0.737309 | ||||||||
\(597\) | 10.0000i | 0.409273i | ||||||||
\(598\) | −10.3923 | − | 6.00000i | −0.424973 | − | 0.245358i | ||||
\(599\) | −3.00000 | + | 5.19615i | −0.122577 | + | 0.212309i | −0.920783 | − | 0.390075i | \(-0.872449\pi\) |
0.798206 | + | 0.602384i | \(0.205782\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −13.0000 | −0.530281 | −0.265141 | − | 0.964210i | \(-0.585418\pi\) | ||||
−0.265141 | + | 0.964210i | \(0.585418\pi\) | |||||||
\(602\) | −13.8564 | − | 8.00000i | −0.564745 | − | 0.326056i | ||||
\(603\) | 12.1244 | − | 7.00000i | 0.493742 | − | 0.285062i | ||||
\(604\) | −5.00000 | + | 8.66025i | −0.203447 | + | 0.352381i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 20.0000i | − | 0.811775i | −0.913923 | − | 0.405887i | \(-0.866962\pi\) | ||
0.913923 | − | 0.405887i | \(-0.133038\pi\) | |||||||
\(608\) | −4.33013 | + | 0.500000i | −0.175610 | + | 0.0202777i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 10.3923 | + | 6.00000i | 0.420084 | + | 0.242536i | ||||
\(613\) | 1.73205 | − | 1.00000i | 0.0699569 | − | 0.0403896i | −0.464614 | − | 0.885514i | \(-0.653807\pi\) |
0.534570 | + | 0.845124i | \(0.320473\pi\) | |||||||
\(614\) | 3.50000 | − | 6.06218i | 0.141249 | − | 0.244650i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 12.0000 | 0.483494 | ||||||||
\(617\) | 2.59808 | + | 1.50000i | 0.104595 | + | 0.0603877i | 0.551385 | − | 0.834251i | \(-0.314100\pi\) |
−0.446790 | + | 0.894639i | \(0.647433\pi\) | |||||||
\(618\) | 1.73205 | + | 1.00000i | 0.0696733 | + | 0.0402259i | ||||
\(619\) | 4.00000 | 0.160774 | 0.0803868 | − | 0.996764i | \(-0.474384\pi\) | ||||
0.0803868 | + | 0.996764i | \(0.474384\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −15.0000 | + | 25.9808i | −0.601929 | + | 1.04257i | ||||
\(622\) | −25.9808 | + | 15.0000i | −1.04173 | + | 0.601445i | ||||
\(623\) | 20.7846 | + | 12.0000i | 0.832718 | + | 0.480770i | ||||
\(624\) | 1.00000 | + | 1.73205i | 0.0400320 | + | 0.0693375i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 19.0000 | 0.759393 | ||||||||
\(627\) | 5.19615 | − | 12.0000i | 0.207514 | − | 0.479234i | ||||
\(628\) | − | 16.0000i | − | 0.638470i | ||||||
\(629\) | 30.0000 | + | 51.9615i | 1.19618 | + | 2.07184i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 14.0000 | − | 24.2487i | 0.557331 | − | 0.965326i | −0.440387 | − | 0.897808i | \(-0.645159\pi\) |
0.997718 | − | 0.0675178i | \(-0.0215080\pi\) | |||||||
\(632\) | −3.46410 | + | 2.00000i | −0.137795 | + | 0.0795557i | ||||
\(633\) | −17.3205 | − | 10.0000i | −0.688428 | − | 0.397464i | ||||
\(634\) | −18.0000 | −0.714871 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −3.00000 | + | 5.19615i | −0.118958 | + | 0.206041i | ||||
\(637\) | 15.5885 | + | 9.00000i | 0.617637 | + | 0.356593i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −12.0000 | −0.474713 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 19.5000 | + | 33.7750i | 0.770204 | + | 1.33403i | 0.937451 | + | 0.348117i | \(0.113179\pi\) |
−0.167247 | + | 0.985915i | \(0.553488\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −37.2391 | + | 21.5000i | −1.46857 | + | 0.847877i | −0.999380 | − | 0.0352216i | \(-0.988786\pi\) |
−0.469187 | + | 0.883099i | \(0.655453\pi\) | |||||||
\(644\) | 12.0000 | + | 20.7846i | 0.472866 | + | 0.819028i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −3.00000 | − | 25.9808i | −0.118033 | − | 1.02220i | ||||
\(647\) | − | 18.0000i | − | 0.707653i | −0.935311 | − | 0.353827i | \(-0.884880\pi\) | ||
0.935311 | − | 0.353827i | \(-0.115120\pi\) | |||||||
\(648\) | −0.866025 | + | 0.500000i | −0.0340207 | + | 0.0196419i | ||||
\(649\) | −13.5000 | − | 23.3827i | −0.529921 | − | 0.917851i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 4.00000 | + | 6.92820i | 0.156772 | + | 0.271538i | ||||
\(652\) | −16.4545 | − | 9.50000i | −0.644407 | − | 0.372049i | ||||
\(653\) | − | 12.0000i | − | 0.469596i | −0.972044 | − | 0.234798i | \(-0.924557\pi\) | ||
0.972044 | − | 0.234798i | \(-0.0754429\pi\) | |||||||
\(654\) | −16.0000 | −0.625650 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −4.50000 | + | 7.79423i | −0.175695 | + | 0.304314i | ||||
\(657\) | − | 2.00000i | − | 0.0780274i | ||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 18.0000 | − | 31.1769i | 0.701180 | − | 1.21448i | −0.266872 | − | 0.963732i | \(-0.585990\pi\) |
0.968052 | − | 0.250748i | \(-0.0806766\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 20.0000 | − | 34.6410i | 0.777910 | − | 1.34738i | −0.155235 | − | 0.987878i | \(-0.549613\pi\) |
0.933144 | − | 0.359502i | \(-0.117053\pi\) | |||||||
\(662\) | 4.33013 | − | 2.50000i | 0.168295 | − | 0.0971653i | ||||
\(663\) | −10.3923 | + | 6.00000i | −0.403604 | + | 0.233021i | ||||
\(664\) | 3.00000 | 0.116423 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −20.0000 | −0.774984 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −20.7846 | + | 12.0000i | −0.804181 | + | 0.464294i | ||||
\(669\) | 7.00000 | − | 12.1244i | 0.270636 | − | 0.468755i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 6.00000 | − | 10.3923i | 0.231627 | − | 0.401190i | ||||
\(672\) | − | 4.00000i | − | 0.154303i | ||||||
\(673\) | 14.0000i | 0.539660i | 0.962908 | + | 0.269830i | \(0.0869676\pi\) | ||||
−0.962908 | + | 0.269830i | \(0.913032\pi\) | |||||||
\(674\) | −5.50000 | + | 9.52628i | −0.211852 | + | 0.366939i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −9.00000 | −0.346154 | ||||||||
\(677\) | 42.0000i | 1.61419i | 0.590421 | + | 0.807096i | \(0.298962\pi\) | ||||
−0.590421 | + | 0.807096i | \(0.701038\pi\) | |||||||
\(678\) | 12.9904 | + | 7.50000i | 0.498893 | + | 0.288036i | ||||
\(679\) | −34.0000 | − | 58.8897i | −1.30480 | − | 2.25998i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −1.50000 | − | 2.59808i | −0.0574801 | − | 0.0995585i | ||||
\(682\) | 5.19615 | − | 3.00000i | 0.198971 | − | 0.114876i | ||||
\(683\) | − | 36.0000i | − | 1.37750i | −0.724998 | − | 0.688751i | \(-0.758159\pi\) | ||
0.724998 | − | 0.688751i | \(-0.241841\pi\) | |||||||
\(684\) | 8.00000 | + | 3.46410i | 0.305888 | + | 0.132453i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −4.00000 | − | 6.92820i | −0.152721 | − | 0.264520i | ||||
\(687\) | 13.8564 | − | 8.00000i | 0.528655 | − | 0.305219i | ||||
\(688\) | 3.46410 | + | 2.00000i | 0.132068 | + | 0.0762493i | ||||
\(689\) | 6.00000 | + | 10.3923i | 0.228582 | + | 0.395915i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 44.0000 | 1.67384 | 0.836919 | − | 0.547326i | \(-0.184354\pi\) | ||||
0.836919 | + | 0.547326i | \(0.184354\pi\) | |||||||
\(692\) | − | 6.00000i | − | 0.228086i | ||||||
\(693\) | −20.7846 | − | 12.0000i | −0.789542 | − | 0.455842i | ||||
\(694\) | 4.50000 | − | 7.79423i | 0.170818 | − | 0.295865i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −46.7654 | − | 27.0000i | −1.77136 | − | 1.02270i | ||||
\(698\) | 3.46410 | − | 2.00000i | 0.131118 | − | 0.0757011i | ||||
\(699\) | 1.50000 | − | 2.59808i | 0.0567352 | − | 0.0982683i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 12.0000 | + | 20.7846i | 0.453234 | + | 0.785024i | 0.998585 | − | 0.0531839i | \(-0.0169370\pi\) |
−0.545351 | + | 0.838208i | \(0.683604\pi\) | |||||||
\(702\) | − | 10.0000i | − | 0.377426i | ||||||
\(703\) | 25.9808 | + | 35.0000i | 0.979883 | + | 1.32005i | ||||
\(704\) | −3.00000 | −0.113067 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.50000 | + | 2.59808i | 0.0564532 | + | 0.0977799i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −7.79423 | + | 4.50000i | −0.292925 | + | 0.169120i | ||||
\(709\) | 7.00000 | − | 12.1244i | 0.262891 | − | 0.455340i | −0.704118 | − | 0.710083i | \(-0.748658\pi\) |
0.967009 | + | 0.254743i | \(0.0819909\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 8.00000 | 0.300023 | ||||||||
\(712\) | −5.19615 | − | 3.00000i | −0.194734 | − | 0.112430i | ||||
\(713\) | 10.3923 | + | 6.00000i | 0.389195 | + | 0.224702i | ||||
\(714\) | 24.0000 | 0.898177 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −4.50000 | + | 7.79423i | −0.168173 | + | 0.291284i | ||||
\(717\) | 10.3923 | − | 6.00000i | 0.388108 | − | 0.224074i | ||||
\(718\) | −5.19615 | − | 3.00000i | −0.193919 | − | 0.111959i | ||||
\(719\) | 15.0000 | + | 25.9808i | 0.559406 | + | 0.968919i | 0.997546 | + | 0.0700124i | \(0.0223039\pi\) |
−0.438141 | + | 0.898906i | \(0.644363\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −8.00000 | −0.297936 | ||||||||
\(722\) | −4.33013 | − | 18.5000i | −0.161151 | − | 0.688499i | ||||
\(723\) | 5.00000i | 0.185952i | ||||||||
\(724\) | 1.00000 | + | 1.73205i | 0.0371647 | + | 0.0643712i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −1.00000 | + | 1.73205i | −0.0371135 | + | 0.0642824i | ||||
\(727\) | −27.7128 | + | 16.0000i | −1.02781 | + | 0.593407i | −0.916357 | − | 0.400362i | \(-0.868884\pi\) |
−0.111454 | + | 0.993770i | \(0.535551\pi\) | |||||||
\(728\) | −6.92820 | − | 4.00000i | −0.256776 | − | 0.148250i | ||||
\(729\) | −13.0000 | −0.481481 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −12.0000 | + | 20.7846i | −0.443836 | + | 0.768747i | ||||
\(732\) | −3.46410 | − | 2.00000i | −0.128037 | − | 0.0739221i | ||||
\(733\) | − | 22.0000i | − | 0.812589i | −0.913742 | − | 0.406294i | \(-0.866821\pi\) | ||
0.913742 | − | 0.406294i | \(-0.133179\pi\) | |||||||
\(734\) | −22.0000 | −0.812035 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.00000 | − | 5.19615i | −0.110581 | − | 0.191533i | ||||
\(737\) | −18.1865 | − | 10.5000i | −0.669910 | − | 0.386772i | ||||
\(738\) | 15.5885 | − | 9.00000i | 0.573819 | − | 0.331295i | ||||
\(739\) | 17.5000 | + | 30.3109i | 0.643748 | + | 1.11500i | 0.984589 | + | 0.174883i | \(0.0559548\pi\) |
−0.340841 | + | 0.940121i | \(0.610712\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −7.00000 | + | 5.19615i | −0.257151 | + | 0.190885i | ||||
\(742\) | − | 24.0000i | − | 0.881068i | ||||||
\(743\) | −15.5885 | + | 9.00000i | −0.571885 | + | 0.330178i | −0.757902 | − | 0.652369i | \(-0.773775\pi\) |
0.186017 | + | 0.982547i | \(0.440442\pi\) | |||||||
\(744\) | −1.00000 | − | 1.73205i | −0.0366618 | − | 0.0635001i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −2.00000 | − | 3.46410i | −0.0732252 | − | 0.126830i | ||||
\(747\) | −5.19615 | − | 3.00000i | −0.190117 | − | 0.109764i | ||||
\(748\) | − | 18.0000i | − | 0.658145i | ||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −19.0000 | + | 32.9090i | −0.693320 | + | 1.20087i | 0.277424 | + | 0.960748i | \(0.410519\pi\) |
−0.970744 | + | 0.240118i | \(0.922814\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | − | 3.00000i | − | 0.109326i | ||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −10.0000 | + | 17.3205i | −0.363696 | + | 0.629941i | ||||
\(757\) | 8.66025 | − | 5.00000i | 0.314762 | − | 0.181728i | −0.334293 | − | 0.942469i | \(-0.608498\pi\) |
0.649056 | + | 0.760741i | \(0.275164\pi\) | |||||||
\(758\) | 24.2487 | − | 14.0000i | 0.880753 | − | 0.508503i | ||||
\(759\) | 18.0000 | 0.653359 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −39.0000 | −1.41375 | −0.706874 | − | 0.707339i | \(-0.749895\pi\) | ||||
−0.706874 | + | 0.707339i | \(0.749895\pi\) | |||||||
\(762\) | 1.73205 | − | 1.00000i | 0.0627456 | − | 0.0362262i | ||||
\(763\) | 55.4256 | − | 32.0000i | 2.00654 | − | 1.15848i | ||||
\(764\) | 6.00000 | − | 10.3923i | 0.217072 | − | 0.375980i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −18.0000 | + | 31.1769i | −0.650366 | + | 1.12647i | ||||
\(767\) | 18.0000i | 0.649942i | ||||||||
\(768\) | 1.00000i | 0.0360844i | ||||||||
\(769\) | 1.00000 | − | 1.73205i | 0.0360609 | − | 0.0624593i | −0.847432 | − | 0.530904i | \(-0.821852\pi\) |
0.883493 | + | 0.468445i | \(0.155186\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 3.00000 | 0.108042 | ||||||||
\(772\) | − | 2.00000i | − | 0.0719816i | ||||||
\(773\) | 41.5692 | + | 24.0000i | 1.49514 | + | 0.863220i | 0.999984 | − | 0.00558380i | \(-0.00177739\pi\) |
0.495156 | + | 0.868804i | \(0.335111\pi\) | |||||||
\(774\) | −4.00000 | − | 6.92820i | −0.143777 | − | 0.249029i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 8.50000 | + | 14.7224i | 0.305132 | + | 0.528505i | ||||
\(777\) | −34.6410 | + | 20.0000i | −1.24274 | + | 0.717496i | ||||
\(778\) | 36.0000i | 1.29066i | ||||||||
\(779\) | −36.0000 | − | 15.5885i | −1.28983 | − | 0.558514i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 9.00000 | + | 15.5885i | 0.322045 | + | 0.557799i | ||||
\(782\) | 31.1769 | − | 18.0000i | 1.11488 | − | 0.643679i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 4.50000 | + | 7.79423i | 0.160714 | + | 0.278365i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −9.00000 | −0.321019 | ||||||||
\(787\) | 7.00000i | 0.249523i | 0.992187 | + | 0.124762i | \(0.0398166\pi\) | ||||
−0.992187 | + | 0.124762i | \(0.960183\pi\) | |||||||
\(788\) | −15.5885 | − | 9.00000i | −0.555316 | − | 0.320612i | ||||
\(789\) | −6.00000 | + | 10.3923i | −0.213606 | + | 0.369976i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −60.0000 | −2.13335 | ||||||||
\(792\) | 5.19615 | + | 3.00000i | 0.184637 | + | 0.106600i | ||||
\(793\) | −6.92820 | + | 4.00000i | −0.246028 | + | 0.142044i | ||||
\(794\) | 5.00000 | − | 8.66025i | 0.177443 | − | 0.307341i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 5.00000 | + | 8.66025i | 0.177220 | + | 0.306955i | ||||
\(797\) | − | 6.00000i | − | 0.212531i | −0.994338 | − | 0.106265i | \(-0.966111\pi\) | ||
0.994338 | − | 0.106265i | \(-0.0338893\pi\) | |||||||
\(798\) | 17.3205 | − | 2.00000i | 0.613139 | − | 0.0707992i | ||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 6.00000 | + | 10.3923i | 0.212000 | + | 0.367194i | ||||
\(802\) | 23.3827 | + | 13.5000i | 0.825671 | + | 0.476702i | ||||
\(803\) | −2.59808 | + | 1.50000i | −0.0916841 | + | 0.0529339i | ||||
\(804\) | −3.50000 | + | 6.06218i | −0.123435 | + | 0.213797i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −4.00000 | −0.140894 | ||||||||
\(807\) | 10.3923 | + | 6.00000i | 0.365826 | + | 0.211210i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −45.0000 | −1.58212 | −0.791058 | − | 0.611741i | \(-0.790469\pi\) | ||||
−0.791058 | + | 0.611741i | \(0.790469\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 8.00000 | − | 13.8564i | 0.280918 | − | 0.486564i | −0.690693 | − | 0.723148i | \(-0.742694\pi\) |
0.971611 | + | 0.236584i | \(0.0760278\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 13.8564 | + | 8.00000i | 0.485965 | + | 0.280572i | ||||
\(814\) | 15.0000 | + | 25.9808i | 0.525750 | + | 0.910625i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −6.00000 | −0.210042 | ||||||||
\(817\) | −6.92820 | + | 16.0000i | −0.242387 | + | 0.559769i | ||||
\(818\) | − | 5.00000i | − | 0.174821i | ||||||
\(819\) | 8.00000 | + | 13.8564i | 0.279543 | + | 0.484182i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −9.00000 | + | 15.5885i | −0.314102 | + | 0.544041i | −0.979246 | − | 0.202674i | \(-0.935037\pi\) |
0.665144 | + | 0.746715i | \(0.268370\pi\) | |||||||
\(822\) | 7.79423 | − | 4.50000i | 0.271855 | − | 0.156956i | ||||
\(823\) | −12.1244 | − | 7.00000i | −0.422628 | − | 0.244005i | 0.273573 | − | 0.961851i | \(-0.411795\pi\) |
−0.696201 | + | 0.717847i | \(0.745128\pi\) | |||||||
\(824\) | 2.00000 | 0.0696733 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 18.0000 | − | 31.1769i | 0.626300 | − | 1.08478i | ||||
\(827\) | −33.7750 | − | 19.5000i | −1.17447 | − | 0.678081i | −0.219742 | − | 0.975558i | \(-0.570522\pi\) |
−0.954729 | + | 0.297477i | \(0.903855\pi\) | |||||||
\(828\) | 12.0000i | 0.417029i | ||||||||
\(829\) | −44.0000 | −1.52818 | −0.764092 | − | 0.645108i | \(-0.776812\pi\) | ||||
−0.764092 | + | 0.645108i | \(0.776812\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −4.00000 | − | 6.92820i | −0.138758 | − | 0.240337i | ||||
\(832\) | 1.73205 | + | 1.00000i | 0.0600481 | + | 0.0346688i | ||||
\(833\) | −46.7654 | + | 27.0000i | −1.62032 | + | 0.935495i | ||||
\(834\) | −5.50000 | − | 9.52628i | −0.190449 | − | 0.329868i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −1.50000 | − | 12.9904i | −0.0518786 | − | 0.449282i | ||||
\(837\) | 10.0000i | 0.345651i | ||||||||
\(838\) | 10.3923 | − | 6.00000i | 0.358996 | − | 0.207267i | ||||
\(839\) | −6.00000 | − | 10.3923i | −0.207143 | − | 0.358782i | 0.743670 | − | 0.668546i | \(-0.233083\pi\) |
−0.950813 | + | 0.309764i | \(0.899750\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 14.5000 | + | 25.1147i | 0.500000 | + | 0.866025i | ||||
\(842\) | 8.66025 | + | 5.00000i | 0.298452 | + | 0.172311i | ||||
\(843\) | 27.0000i | 0.929929i | ||||||||
\(844\) | −20.0000 | −0.688428 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | − | 8.00000i | − | 0.274883i | ||||||
\(848\) | 6.00000i | 0.206041i | ||||||||
\(849\) | 2.50000 | − | 4.33013i | 0.0857998 | − | 0.148610i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −30.0000 | + | 51.9615i | −1.02839 | + | 1.78122i | ||||
\(852\) | 5.19615 | − | 3.00000i | 0.178017 | − | 0.102778i | ||||
\(853\) | −19.0526 | + | 11.0000i | −0.652347 | + | 0.376633i | −0.789355 | − | 0.613937i | \(-0.789585\pi\) |
0.137008 | + | 0.990570i | \(0.456251\pi\) | |||||||
\(854\) | 16.0000 | 0.547509 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 2.59808 | − | 1.50000i | 0.0887486 | − | 0.0512390i | −0.454969 | − | 0.890507i | \(-0.650350\pi\) |
0.543718 | + | 0.839268i | \(0.317016\pi\) | |||||||
\(858\) | −5.19615 | + | 3.00000i | −0.177394 | + | 0.102418i | ||||
\(859\) | −21.5000 | + | 37.2391i | −0.733571 | + | 1.27058i | 0.221777 | + | 0.975097i | \(0.428814\pi\) |
−0.955348 | + | 0.295484i | \(0.904519\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 18.0000 | − | 31.1769i | 0.613438 | − | 1.06251i | ||||
\(862\) | − | 30.0000i | − | 1.02180i | ||||||
\(863\) | 18.0000i | 0.612727i | 0.951915 | + | 0.306364i | \(0.0991123\pi\) | ||||
−0.951915 | + | 0.306364i | \(0.900888\pi\) | |||||||
\(864\) | 2.50000 | − | 4.33013i | 0.0850517 | − | 0.147314i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −26.0000 | −0.883516 | ||||||||
\(867\) | − | 19.0000i | − | 0.645274i | ||||||
\(868\) | 6.92820 | + | 4.00000i | 0.235159 | + | 0.135769i | ||||
\(869\) | −6.00000 | − | 10.3923i | −0.203536 | − | 0.352535i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 7.00000 | + | 12.1244i | 0.237186 | + | 0.410818i | ||||
\(872\) | −13.8564 | + | 8.00000i | −0.469237 | + | 0.270914i | ||||
\(873\) | − | 34.0000i | − | 1.15073i | ||||||
\(874\) | 21.0000 | − | 15.5885i | 0.710336 | − | 0.527287i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0.500000 | + | 0.866025i | 0.0168934 | + | 0.0292603i | ||||
\(877\) | −17.3205 | + | 10.0000i | −0.584872 | + | 0.337676i | −0.763067 | − | 0.646319i | \(-0.776307\pi\) |
0.178195 | + | 0.983995i | \(0.442974\pi\) | |||||||
\(878\) | 12.1244 | + | 7.00000i | 0.409177 | + | 0.236239i | ||||
\(879\) | 12.0000 | + | 20.7846i | 0.404750 | + | 0.701047i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −9.00000 | −0.303218 | −0.151609 | − | 0.988441i | \(-0.548445\pi\) | ||||
−0.151609 | + | 0.988441i | \(0.548445\pi\) | |||||||
\(882\) | − | 18.0000i | − | 0.606092i | ||||||
\(883\) | 16.4545 | + | 9.50000i | 0.553737 | + | 0.319700i | 0.750628 | − | 0.660725i | \(-0.229751\pi\) |
−0.196891 | + | 0.980425i | \(0.563084\pi\) | |||||||
\(884\) | −6.00000 | + | 10.3923i | −0.201802 | + | 0.349531i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −9.00000 | −0.302361 | ||||||||
\(887\) | 41.5692 | + | 24.0000i | 1.39576 | + | 0.805841i | 0.993945 | − | 0.109881i | \(-0.0350469\pi\) |
0.401813 | + | 0.915722i | \(0.368380\pi\) | |||||||
\(888\) | 8.66025 | − | 5.00000i | 0.290619 | − | 0.167789i | ||||
\(889\) | −4.00000 | + | 6.92820i | −0.134156 | + | 0.232364i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −1.50000 | − | 2.59808i | −0.0502519 | − | 0.0870388i | ||||
\(892\) | − | 14.0000i | − | 0.468755i | ||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 18.0000 | 0.602010 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −2.00000 | − | 3.46410i | −0.0668153 | − | 0.115728i | ||||
\(897\) | −10.3923 | − | 6.00000i | −0.346989 | − | 0.200334i | ||||
\(898\) | −7.79423 | + | 4.50000i | −0.260097 | + | 0.150167i | ||||
\(899\) | 0 | 0 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −36.0000 | −1.19933 | ||||||||
\(902\) | −23.3827 | − | 13.5000i | −0.778558 | − | 0.449501i | ||||
\(903\) | −13.8564 | − | 8.00000i | −0.461112 | − | 0.266223i | ||||
\(904\) | 15.0000 | 0.498893 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −5.00000 | + | 8.66025i | −0.166114 | + | 0.287718i | ||||
\(907\) | −14.7224 | + | 8.50000i | −0.488850 | + | 0.282238i | −0.724097 | − | 0.689698i | \(-0.757743\pi\) |
0.235247 | + | 0.971936i | \(0.424410\pi\) | |||||||
\(908\) | −2.59808 | − | 1.50000i | −0.0862202 | − | 0.0497792i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 30.0000 | 0.993944 | 0.496972 | − | 0.867766i | \(-0.334445\pi\) | ||||
0.496972 | + | 0.867766i | \(0.334445\pi\) | |||||||
\(912\) | −4.33013 | + | 0.500000i | −0.143385 | + | 0.0165567i | ||||
\(913\) | 9.00000i | 0.297857i | ||||||||
\(914\) | −2.50000 | − | 4.33013i | −0.0826927 | − | 0.143228i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 8.00000 | − | 13.8564i | 0.264327 | − | 0.457829i | ||||
\(917\) | 31.1769 | − | 18.0000i | 1.02955 | − | 0.594412i | ||||
\(918\) | 25.9808 | + | 15.0000i | 0.857493 | + | 0.495074i | ||||
\(919\) | 10.0000 | 0.329870 | 0.164935 | − | 0.986304i | \(-0.447259\pi\) | ||||
0.164935 | + | 0.986304i | \(0.447259\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 3.50000 | − | 6.06218i | 0.115329 | − | 0.199756i | ||||
\(922\) | −5.19615 | − | 3.00000i | −0.171126 | − | 0.0987997i | ||||
\(923\) | − | 12.0000i | − | 0.394985i | ||||||
\(924\) | 12.0000 | 0.394771 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −17.0000 | − | 29.4449i | −0.558655 | − | 0.967618i | ||||
\(927\) | −3.46410 | − | 2.00000i | −0.113776 | − | 0.0656886i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −1.50000 | − | 2.59808i | −0.0492134 | − | 0.0852401i | 0.840369 | − | 0.542014i | \(-0.182338\pi\) |
−0.889583 | + | 0.456774i | \(0.849005\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −31.5000 | + | 23.3827i | −1.03237 | + | 0.766337i | ||||
\(932\) | − | 3.00000i | − | 0.0982683i | ||||||
\(933\) | −25.9808 | + | 15.0000i | −0.850572 | + | 0.491078i | ||||
\(934\) | 13.5000 | + | 23.3827i | 0.441733 | + | 0.765105i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −2.00000 | − | 3.46410i | −0.0653720 | − | 0.113228i | ||||
\(937\) | 30.3109 | + | 17.5000i | 0.990214 | + | 0.571700i | 0.905338 | − | 0.424691i | \(-0.139617\pi\) |
0.0848755 | + | 0.996392i | \(0.472951\pi\) | |||||||
\(938\) | − | 28.0000i | − | 0.914232i | ||||||
\(939\) | 19.0000 | 0.620042 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 21.0000 | − | 36.3731i | 0.684580 | − | 1.18573i | −0.288988 | − | 0.957333i | \(-0.593319\pi\) |
0.973568 | − | 0.228395i | \(-0.0733479\pi\) | |||||||
\(942\) | − | 16.0000i | − | 0.521308i | ||||||
\(943\) | − | 54.0000i | − | 1.75848i | ||||||
\(944\) | −4.50000 | + | 7.79423i | −0.146463 | + | 0.253681i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −6.00000 | + | 10.3923i | −0.195077 | + | 0.337883i | ||||
\(947\) | −51.9615 | + | 30.0000i | −1.68852 | + | 0.974869i | −0.732872 | + | 0.680367i | \(0.761821\pi\) |
−0.955651 | + | 0.294502i | \(0.904846\pi\) | |||||||
\(948\) | −3.46410 | + | 2.00000i | −0.112509 | + | 0.0649570i | ||||
\(949\) | 2.00000 | 0.0649227 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −18.0000 | −0.583690 | ||||||||
\(952\) | 20.7846 | − | 12.0000i | 0.673633 | − | 0.388922i | ||||
\(953\) | −12.9904 | + | 7.50000i | −0.420800 | + | 0.242949i | −0.695419 | − | 0.718604i | \(-0.744781\pi\) |
0.274620 | + | 0.961553i | \(0.411448\pi\) | |||||||
\(954\) | 6.00000 | − | 10.3923i | 0.194257 | − | 0.336463i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 6.00000 | − | 10.3923i | 0.194054 | − | 0.336111i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | − | 36.0000i | − | 1.16311i | ||||||
\(959\) | −18.0000 | + | 31.1769i | −0.581250 | + | 1.00676i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −27.0000 | −0.870968 | ||||||||
\(962\) | − | 20.0000i | − | 0.644826i | ||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 2.50000 | + | 4.33013i | 0.0805196 | + | 0.139464i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 12.0000 | + | 20.7846i | 0.386094 | + | 0.668734i | ||||
\(967\) | 29.4449 | − | 17.0000i | 0.946883 | − | 0.546683i | 0.0547717 | − | 0.998499i | \(-0.482557\pi\) |
0.892111 | + | 0.451816i | \(0.149224\pi\) | |||||||
\(968\) | 2.00000i | 0.0642824i | ||||||||
\(969\) | −3.00000 | − | 25.9808i | −0.0963739 | − | 0.834622i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −10.5000 | − | 18.1865i | −0.336961 | − | 0.583634i | 0.646899 | − | 0.762576i | \(-0.276066\pi\) |
−0.983860 | + | 0.178942i | \(0.942732\pi\) | |||||||
\(972\) | −13.8564 | + | 8.00000i | −0.444444 | + | 0.256600i | ||||
\(973\) | 38.1051 | + | 22.0000i | 1.22159 | + | 0.705288i | ||||
\(974\) | −1.00000 | − | 1.73205i | −0.0320421 | − | 0.0554985i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −4.00000 | −0.128037 | ||||||||
\(977\) | − | 33.0000i | − | 1.05576i | −0.849318 | − | 0.527882i | \(-0.822986\pi\) | ||
0.849318 | − | 0.527882i | \(-0.177014\pi\) | |||||||
\(978\) | −16.4545 | − | 9.50000i | −0.526156 | − | 0.303777i | ||||
\(979\) | 9.00000 | − | 15.5885i | 0.287641 | − | 0.498209i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 32.0000 | 1.02168 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 20.7846 | − | 12.0000i | 0.662926 | − | 0.382741i | −0.130465 | − | 0.991453i | \(-0.541647\pi\) |
0.793391 | + | 0.608712i | \(0.208314\pi\) | |||||||
\(984\) | −4.50000 | + | 7.79423i | −0.143455 | + | 0.248471i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −3.46410 | + | 8.00000i | −0.110208 | + | 0.254514i | ||||
\(989\) | −24.0000 | −0.763156 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −4.00000 | − | 6.92820i | −0.127064 | − | 0.220082i | 0.795474 | − | 0.605988i | \(-0.207222\pi\) |
−0.922538 | + | 0.385906i | \(0.873889\pi\) | |||||||
\(992\) | −1.73205 | − | 1.00000i | −0.0549927 | − | 0.0317500i | ||||
\(993\) | 4.33013 | − | 2.50000i | 0.137412 | − | 0.0793351i | ||||
\(994\) | −12.0000 | + | 20.7846i | −0.380617 | + | 0.659248i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 3.00000 | 0.0950586 | ||||||||
\(997\) | −3.46410 | − | 2.00000i | −0.109709 | − | 0.0633406i | 0.444141 | − | 0.895957i | \(-0.353509\pi\) |
−0.553851 | + | 0.832616i | \(0.686842\pi\) | |||||||
\(998\) | −21.6506 | − | 12.5000i | −0.685339 | − | 0.395681i | ||||
\(999\) | −50.0000 | −1.58193 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))