Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(227,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.227");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.l (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 6x^{14} + 9x^{12} + 54x^{10} - 288x^{8} + 486x^{6} + 729x^{4} - 4374x^{2} + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{2}\cdot 3^{2} \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 227.6 | ||
Root | \(1.40917 - 1.00709i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 882.227 |
Dual form | 882.2.l.a.509.2 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000i | 0.707107i | ||||||||
\(3\) | −0.167584 | − | 1.72392i | −0.0967549 | − | 0.995308i | ||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | −1.17468 | + | 2.03460i | −0.525332 | + | 0.909902i | 0.474232 | + | 0.880400i | \(0.342726\pi\) |
−0.999565 | + | 0.0295026i | \(0.990608\pi\) | |||||||
\(6\) | 1.72392 | − | 0.167584i | 0.703789 | − | 0.0684160i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | −2.94383 | + | 0.577806i | −0.981277 | + | 0.192602i | ||||
\(10\) | −2.03460 | − | 1.17468i | −0.643398 | − | 0.371466i | ||||
\(11\) | 4.91614 | − | 2.83834i | 1.48227 | − | 0.855790i | 0.482475 | − | 0.875910i | \(-0.339738\pi\) |
0.999798 | + | 0.0201197i | \(0.00640473\pi\) | |||||||
\(12\) | 0.167584 | + | 1.72392i | 0.0483774 | + | 0.497654i | ||||
\(13\) | −1.48943 | + | 0.859925i | −0.413094 | + | 0.238500i | −0.692118 | − | 0.721784i | \(-0.743322\pi\) |
0.279024 | + | 0.960284i | \(0.409989\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 3.70436 | + | 1.68409i | 0.956462 | + | 0.434830i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −0.884414 | + | 1.53185i | −0.214502 | + | 0.371528i | −0.953118 | − | 0.302598i | \(-0.902146\pi\) |
0.738616 | + | 0.674126i | \(0.235480\pi\) | |||||||
\(18\) | −0.577806 | − | 2.94383i | −0.136190 | − | 0.693868i | ||||
\(19\) | 0.986680 | − | 0.569660i | 0.226360 | − | 0.130689i | −0.382532 | − | 0.923942i | \(-0.624948\pi\) |
0.608892 | + | 0.793253i | \(0.291614\pi\) | |||||||
\(20\) | 1.17468 | − | 2.03460i | 0.262666 | − | 0.454951i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.83834 | + | 4.91614i | 0.605135 | + | 1.04812i | ||||
\(23\) | 3.18272 | + | 1.83755i | 0.663644 | + | 0.383155i | 0.793664 | − | 0.608356i | \(-0.208171\pi\) |
−0.130020 | + | 0.991511i | \(0.541504\pi\) | |||||||
\(24\) | −1.72392 | + | 0.167584i | −0.351895 | + | 0.0342080i | ||||
\(25\) | −0.259741 | − | 0.449885i | −0.0519482 | − | 0.0899769i | ||||
\(26\) | −0.859925 | − | 1.48943i | −0.168645 | − | 0.292102i | ||||
\(27\) | 1.48943 | + | 4.97811i | 0.286642 | + | 0.958038i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.59886 | + | 2.07781i | 0.668292 | + | 0.385839i | 0.795429 | − | 0.606046i | \(-0.207245\pi\) |
−0.127137 | + | 0.991885i | \(0.540579\pi\) | |||||||
\(30\) | −1.68409 | + | 3.70436i | −0.307471 | + | 0.676321i | ||||
\(31\) | 8.37019i | 1.50333i | 0.659545 | + | 0.751665i | \(0.270749\pi\) | ||||
−0.659545 | + | 0.751665i | \(0.729251\pi\) | |||||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | −5.71694 | − | 7.99939i | −0.995192 | − | 1.39252i | ||||
\(34\) | −1.53185 | − | 0.884414i | −0.262710 | − | 0.151676i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 2.94383 | − | 0.577806i | 0.490638 | − | 0.0963009i | ||||
\(37\) | 4.59886 | + | 7.96547i | 0.756049 | + | 1.30951i | 0.944851 | + | 0.327500i | \(0.106206\pi\) |
−0.188803 | + | 0.982015i | \(0.560461\pi\) | |||||||
\(38\) | 0.569660 | + | 0.986680i | 0.0924111 | + | 0.160061i | ||||
\(39\) | 1.73205 | + | 2.42356i | 0.277350 | + | 0.388080i | ||||
\(40\) | 2.03460 | + | 1.17468i | 0.321699 | + | 0.185733i | ||||
\(41\) | −3.99709 | − | 6.92317i | −0.624241 | − | 1.08122i | −0.988687 | − | 0.149993i | \(-0.952075\pi\) |
0.364446 | − | 0.931225i | \(-0.381258\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.76053 | − | 3.04933i | 0.268478 | − | 0.465018i | −0.699991 | − | 0.714152i | \(-0.746813\pi\) |
0.968469 | + | 0.249134i | \(0.0801459\pi\) | |||||||
\(44\) | −4.91614 | + | 2.83834i | −0.741136 | + | 0.427895i | ||||
\(45\) | 2.28245 | − | 6.66826i | 0.340248 | − | 0.994046i | ||||
\(46\) | −1.83755 | + | 3.18272i | −0.270931 | + | 0.469267i | ||||
\(47\) | 11.8099 | 1.72265 | 0.861324 | − | 0.508055i | \(-0.169635\pi\) | ||||
0.861324 | + | 0.508055i | \(0.169635\pi\) | |||||||
\(48\) | −0.167584 | − | 1.72392i | −0.0241887 | − | 0.248827i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0.449885 | − | 0.259741i | 0.0636233 | − | 0.0367329i | ||||
\(51\) | 2.78901 | + | 1.26795i | 0.390539 | + | 0.177548i | ||||
\(52\) | 1.48943 | − | 0.859925i | 0.206547 | − | 0.119250i | ||||
\(53\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(54\) | −4.97811 | + | 1.48943i | −0.677435 | + | 0.202686i | ||||
\(55\) | 13.3365i | 1.79830i | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1.14740 | − | 1.60550i | −0.151977 | − | 0.212653i | ||||
\(58\) | −2.07781 | + | 3.59886i | −0.272829 | + | 0.472554i | ||||
\(59\) | 2.22966 | 0.290277 | 0.145139 | − | 0.989411i | \(-0.453637\pi\) | ||||
0.145139 | + | 0.989411i | \(0.453637\pi\) | |||||||
\(60\) | −3.70436 | − | 1.68409i | −0.478231 | − | 0.217415i | ||||
\(61\) | 8.99970i | 1.15229i | 0.817346 | + | 0.576146i | \(0.195444\pi\) | ||||
−0.817346 | + | 0.576146i | \(0.804556\pi\) | |||||||
\(62\) | −8.37019 | −1.06301 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | − | 4.04054i | − | 0.501167i | ||||||
\(66\) | 7.99939 | − | 5.71694i | 0.984657 | − | 0.703707i | ||||
\(67\) | 10.8712 | 1.32813 | 0.664067 | − | 0.747673i | \(-0.268829\pi\) | ||||
0.664067 | + | 0.747673i | \(0.268829\pi\) | |||||||
\(68\) | 0.884414 | − | 1.53185i | 0.107251 | − | 0.185764i | ||||
\(69\) | 2.63442 | − | 5.79472i | 0.317147 | − | 0.697602i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.52106i | 0.536551i | 0.963342 | + | 0.268276i | \(0.0864538\pi\) | ||||
−0.963342 | + | 0.268276i | \(0.913546\pi\) | |||||||
\(72\) | 0.577806 | + | 2.94383i | 0.0680950 | + | 0.346934i | ||||
\(73\) | 4.62660 | + | 2.67117i | 0.541503 | + | 0.312637i | 0.745688 | − | 0.666295i | \(-0.232121\pi\) |
−0.204185 | + | 0.978932i | \(0.565454\pi\) | |||||||
\(74\) | −7.96547 | + | 4.59886i | −0.925967 | + | 0.534607i | ||||
\(75\) | −0.732039 | + | 0.523168i | −0.0845285 | + | 0.0604102i | ||||
\(76\) | −0.986680 | + | 0.569660i | −0.113180 | + | 0.0653445i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −2.42356 | + | 1.73205i | −0.274414 | + | 0.196116i | ||||
\(79\) | −13.0284 | −1.46581 | −0.732907 | − | 0.680329i | \(-0.761837\pi\) | ||||
−0.732907 | + | 0.680329i | \(0.761837\pi\) | |||||||
\(80\) | −1.17468 | + | 2.03460i | −0.131333 | + | 0.227476i | ||||
\(81\) | 8.33228 | − | 3.40192i | 0.925809 | − | 0.377992i | ||||
\(82\) | 6.92317 | − | 3.99709i | 0.764536 | − | 0.441405i | ||||
\(83\) | 6.27298 | − | 10.8651i | 0.688549 | − | 1.19260i | −0.283758 | − | 0.958896i | \(-0.591581\pi\) |
0.972307 | − | 0.233707i | \(-0.0750855\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.07781 | − | 3.59886i | −0.225370 | − | 0.390352i | ||||
\(86\) | 3.04933 | + | 1.76053i | 0.328817 | + | 0.189843i | ||||
\(87\) | 2.97887 | − | 6.55238i | 0.319368 | − | 0.702489i | ||||
\(88\) | −2.83834 | − | 4.91614i | −0.302568 | − | 0.524062i | ||||
\(89\) | −0.580529 | − | 1.00551i | −0.0615360 | − | 0.106583i | 0.833616 | − | 0.552344i | \(-0.186267\pi\) |
−0.895152 | + | 0.445761i | \(0.852933\pi\) | |||||||
\(90\) | 6.66826 | + | 2.28245i | 0.702897 | + | 0.240591i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −3.18272 | − | 1.83755i | −0.331822 | − | 0.191577i | ||||
\(93\) | 14.4296 | − | 1.40271i | 1.49628 | − | 0.145454i | ||||
\(94\) | 11.8099i | 1.21810i | ||||||||
\(95\) | 2.67667i | 0.274621i | ||||||||
\(96\) | 1.72392 | − | 0.167584i | 0.175947 | − | 0.0171040i | ||||
\(97\) | 3.97536 | + | 2.29517i | 0.403636 | + | 0.233039i | 0.688052 | − | 0.725662i | \(-0.258466\pi\) |
−0.284416 | + | 0.958701i | \(0.591800\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −12.8323 | + | 11.1962i | −1.28969 | + | 1.12526i | ||||
\(100\) | 0.259741 | + | 0.449885i | 0.0259741 | + | 0.0449885i | ||||
\(101\) | −3.31155 | − | 5.73577i | −0.329511 | − | 0.570730i | 0.652904 | − | 0.757441i | \(-0.273551\pi\) |
−0.982415 | + | 0.186711i | \(0.940217\pi\) | |||||||
\(102\) | −1.26795 | + | 2.78901i | −0.125546 | + | 0.276153i | ||||
\(103\) | −5.07471 | − | 2.92989i | −0.500026 | − | 0.288690i | 0.228698 | − | 0.973497i | \(-0.426553\pi\) |
−0.728724 | + | 0.684807i | \(0.759886\pi\) | |||||||
\(104\) | 0.859925 | + | 1.48943i | 0.0843225 | + | 0.146051i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −4.08386 | + | 2.35782i | −0.394802 | + | 0.227939i | −0.684239 | − | 0.729258i | \(-0.739865\pi\) |
0.289437 | + | 0.957197i | \(0.406532\pi\) | |||||||
\(108\) | −1.48943 | − | 4.97811i | −0.143321 | − | 0.479019i | ||||
\(109\) | −2.11835 | + | 3.66908i | −0.202901 | + | 0.351435i | −0.949462 | − | 0.313882i | \(-0.898370\pi\) |
0.746561 | + | 0.665317i | \(0.231704\pi\) | |||||||
\(110\) | −13.3365 | −1.27159 | ||||||||
\(111\) | 12.9612 | − | 9.26298i | 1.23022 | − | 0.879203i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 5.91693 | − | 3.41614i | 0.556618 | − | 0.321363i | −0.195169 | − | 0.980770i | \(-0.562526\pi\) |
0.751787 | + | 0.659406i | \(0.229192\pi\) | |||||||
\(114\) | 1.60550 | − | 1.14740i | 0.150368 | − | 0.107464i | ||||
\(115\) | −7.47736 | + | 4.31705i | −0.697267 | + | 0.402567i | ||||
\(116\) | −3.59886 | − | 2.07781i | −0.334146 | − | 0.192919i | ||||
\(117\) | 3.88777 | − | 3.39208i | 0.359424 | − | 0.313597i | ||||
\(118\) | 2.22966i | 0.205257i | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 1.68409 | − | 3.70436i | 0.153736 | − | 0.338160i | ||||
\(121\) | 10.6123 | − | 18.3810i | 0.964754 | − | 1.67100i | ||||
\(122\) | −8.99970 | −0.814794 | ||||||||
\(123\) | −11.2652 | + | 8.05090i | −1.01575 | + | 0.725926i | ||||
\(124\) | − | 8.37019i | − | 0.751665i | ||||||
\(125\) | −10.5263 | −0.941504 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −6.67667 | −0.592459 | −0.296229 | − | 0.955117i | \(-0.595729\pi\) | ||||
−0.296229 | + | 0.955117i | \(0.595729\pi\) | |||||||
\(128\) | − | 1.00000i | − | 0.0883883i | ||||||
\(129\) | −5.55185 | − | 2.52400i | −0.488813 | − | 0.222226i | ||||
\(130\) | 4.04054 | 0.354379 | ||||||||
\(131\) | −3.73653 | + | 6.47185i | −0.326462 | + | 0.565448i | −0.981807 | − | 0.189881i | \(-0.939190\pi\) |
0.655345 | + | 0.755329i | \(0.272523\pi\) | |||||||
\(132\) | 5.71694 | + | 7.99939i | 0.497596 | + | 0.696258i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 10.8712i | 0.939133i | ||||||||
\(135\) | −11.8781 | − | 2.81728i | −1.02230 | − | 0.242473i | ||||
\(136\) | 1.53185 | + | 0.884414i | 0.131355 | + | 0.0758379i | ||||
\(137\) | −6.91772 | + | 3.99395i | −0.591021 | + | 0.341226i | −0.765501 | − | 0.643435i | \(-0.777509\pi\) |
0.174480 | + | 0.984661i | \(0.444175\pi\) | |||||||
\(138\) | 5.79472 | + | 2.63442i | 0.493279 | + | 0.224256i | ||||
\(139\) | −17.9792 | + | 10.3803i | −1.52498 | + | 0.880446i | −0.525415 | + | 0.850846i | \(0.676090\pi\) |
−0.999562 | + | 0.0295993i | \(0.990577\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.97915 | − | 20.3593i | −0.166675 | − | 1.71457i | ||||
\(142\) | −4.52106 | −0.379399 | ||||||||
\(143\) | −4.88151 | + | 8.45502i | −0.408212 | + | 0.707044i | ||||
\(144\) | −2.94383 | + | 0.577806i | −0.245319 | + | 0.0481505i | ||||
\(145\) | −8.45502 | + | 4.88151i | −0.702151 | + | 0.405387i | ||||
\(146\) | −2.67117 | + | 4.62660i | −0.221068 | + | 0.382900i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −4.59886 | − | 7.96547i | −0.378024 | − | 0.654757i | ||||
\(149\) | 1.03726 | + | 0.598865i | 0.0849760 | + | 0.0490609i | 0.541886 | − | 0.840452i | \(-0.317710\pi\) |
−0.456910 | + | 0.889513i | \(0.651044\pi\) | |||||||
\(150\) | −0.523168 | − | 0.732039i | −0.0427165 | − | 0.0597707i | ||||
\(151\) | −7.61229 | − | 13.1849i | −0.619480 | − | 1.07297i | −0.989581 | − | 0.143979i | \(-0.954010\pi\) |
0.370101 | − | 0.928991i | \(-0.379323\pi\) | |||||||
\(152\) | −0.569660 | − | 0.986680i | −0.0462055 | − | 0.0800303i | ||||
\(153\) | 1.71845 | − | 5.02053i | 0.138929 | − | 0.405886i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −17.0300 | − | 9.83228i | −1.36788 | − | 0.789748i | ||||
\(156\) | −1.73205 | − | 2.42356i | −0.138675 | − | 0.194040i | ||||
\(157\) | − | 10.0269i | − | 0.800237i | −0.916463 | − | 0.400118i | \(-0.868969\pi\) | ||
0.916463 | − | 0.400118i | \(-0.131031\pi\) | |||||||
\(158\) | − | 13.0284i | − | 1.03649i | ||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.03460 | − | 1.17468i | −0.160850 | − | 0.0928665i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 3.40192 | + | 8.33228i | 0.267280 | + | 0.654646i | ||||
\(163\) | −6.00158 | − | 10.3950i | −0.470080 | − | 0.814202i | 0.529335 | − | 0.848413i | \(-0.322442\pi\) |
−0.999415 | + | 0.0342109i | \(0.989108\pi\) | |||||||
\(164\) | 3.99709 | + | 6.92317i | 0.312121 | + | 0.540609i | ||||
\(165\) | 22.9912 | − | 2.23499i | 1.78986 | − | 0.173994i | ||||
\(166\) | 10.8651 | + | 6.27298i | 0.843297 | + | 0.486878i | ||||
\(167\) | −8.57472 | − | 14.8518i | −0.663532 | − | 1.14927i | −0.979681 | − | 0.200561i | \(-0.935723\pi\) |
0.316150 | − | 0.948709i | \(-0.397610\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.02106 | + | 8.69673i | −0.386235 | + | 0.668979i | ||||
\(170\) | 3.59886 | − | 2.07781i | 0.276020 | − | 0.159360i | ||||
\(171\) | −2.57547 | + | 2.24709i | −0.196951 | + | 0.171839i | ||||
\(172\) | −1.76053 | + | 3.04933i | −0.134239 | + | 0.232509i | ||||
\(173\) | 1.98748 | 0.151105 | 0.0755525 | − | 0.997142i | \(-0.475928\pi\) | ||||
0.0755525 | + | 0.997142i | \(0.475928\pi\) | |||||||
\(174\) | 6.55238 | + | 2.97887i | 0.496735 | + | 0.225827i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 4.91614 | − | 2.83834i | 0.370568 | − | 0.213948i | ||||
\(177\) | −0.373656 | − | 3.84377i | −0.0280857 | − | 0.288915i | ||||
\(178\) | 1.00551 | − | 0.580529i | 0.0753659 | − | 0.0435125i | ||||
\(179\) | 7.19773 | + | 4.15561i | 0.537984 | + | 0.310605i | 0.744261 | − | 0.667889i | \(-0.232802\pi\) |
−0.206278 | + | 0.978493i | \(0.566135\pi\) | |||||||
\(180\) | −2.28245 | + | 6.66826i | −0.170124 | + | 0.497023i | ||||
\(181\) | 15.4541i | 1.14870i | 0.818611 | + | 0.574348i | \(0.194744\pi\) | ||||
−0.818611 | + | 0.574348i | \(0.805256\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 15.5148 | − | 1.50821i | 1.14689 | − | 0.111490i | ||||
\(184\) | 1.83755 | − | 3.18272i | 0.135466 | − | 0.234634i | ||||
\(185\) | −21.6088 | −1.58871 | ||||||||
\(186\) | 1.40271 | + | 14.4296i | 0.102852 | + | 1.05803i | ||||
\(187\) | 10.0411i | 0.734275i | ||||||||
\(188\) | −11.8099 | −0.861324 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.67667 | −0.194186 | ||||||||
\(191\) | − | 12.3381i | − | 0.892752i | −0.894845 | − | 0.446376i | \(-0.852714\pi\) | ||
0.894845 | − | 0.446376i | \(-0.147286\pi\) | |||||||
\(192\) | 0.167584 | + | 1.72392i | 0.0120944 | + | 0.124414i | ||||
\(193\) | 4.39388 | 0.316279 | 0.158139 | − | 0.987417i | \(-0.449451\pi\) | ||||
0.158139 | + | 0.987417i | \(0.449451\pi\) | |||||||
\(194\) | −2.29517 | + | 3.97536i | −0.164784 | + | 0.285414i | ||||
\(195\) | −6.96559 | + | 0.677132i | −0.498816 | + | 0.0484904i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 10.8865i | − | 0.775632i | −0.921737 | − | 0.387816i | \(-0.873230\pi\) | ||
0.921737 | − | 0.387816i | \(-0.126770\pi\) | |||||||
\(198\) | −11.1962 | − | 12.8323i | −0.795676 | − | 0.911951i | ||||
\(199\) | 23.8733 | + | 13.7832i | 1.69233 | + | 0.977068i | 0.952629 | + | 0.304135i | \(0.0983674\pi\) |
0.739703 | + | 0.672933i | \(0.234966\pi\) | |||||||
\(200\) | −0.449885 | + | 0.259741i | −0.0318116 | + | 0.0183665i | ||||
\(201\) | −1.82185 | − | 18.7412i | −0.128503 | − | 1.32190i | ||||
\(202\) | 5.73577 | − | 3.31155i | 0.403567 | − | 0.233000i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −2.78901 | − | 1.26795i | −0.195270 | − | 0.0887742i | ||||
\(205\) | 18.7812 | 1.31174 | ||||||||
\(206\) | 2.92989 | − | 5.07471i | 0.204135 | − | 0.353572i | ||||
\(207\) | −10.4311 | − | 3.57043i | −0.725015 | − | 0.248162i | ||||
\(208\) | −1.48943 | + | 0.859925i | −0.103274 | + | 0.0596250i | ||||
\(209\) | 3.23377 | − | 5.60106i | 0.223685 | − | 0.387433i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.15561 | + | 8.92978i | 0.354927 | + | 0.614751i | 0.987105 | − | 0.160071i | \(-0.0511724\pi\) |
−0.632179 | + | 0.774823i | \(0.717839\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 7.79396 | − | 0.757659i | 0.534034 | − | 0.0519139i | ||||
\(214\) | −2.35782 | − | 4.08386i | −0.161177 | − | 0.279167i | ||||
\(215\) | 4.13611 | + | 7.16396i | 0.282081 | + | 0.488578i | ||||
\(216\) | 4.97811 | − | 1.48943i | 0.338718 | − | 0.101343i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −3.66908 | − | 2.11835i | −0.248502 | − | 0.143473i | ||||
\(219\) | 3.82955 | − | 8.42356i | 0.258777 | − | 0.569211i | ||||
\(220\) | − | 13.3365i | − | 0.899149i | ||||||
\(221\) | − | 3.04212i | − | 0.204635i | ||||||
\(222\) | 9.26298 | + | 12.9612i | 0.621691 | + | 0.869897i | ||||
\(223\) | 6.24329 | + | 3.60456i | 0.418081 | + | 0.241379i | 0.694256 | − | 0.719728i | \(-0.255733\pi\) |
−0.276175 | + | 0.961107i | \(0.589067\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1.02458 | + | 1.17430i | 0.0683053 | + | 0.0782870i | ||||
\(226\) | 3.41614 | + | 5.91693i | 0.227238 | + | 0.393588i | ||||
\(227\) | −6.37800 | − | 11.0470i | −0.423323 | − | 0.733217i | 0.572939 | − | 0.819598i | \(-0.305803\pi\) |
−0.996262 | + | 0.0863812i | \(0.972470\pi\) | |||||||
\(228\) | 1.14740 | + | 1.60550i | 0.0759886 | + | 0.106327i | ||||
\(229\) | 3.89208 | + | 2.24709i | 0.257196 | + | 0.148492i | 0.623055 | − | 0.782178i | \(-0.285891\pi\) |
−0.365859 | + | 0.930670i | \(0.619225\pi\) | |||||||
\(230\) | −4.31705 | − | 7.47736i | −0.284658 | − | 0.493042i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2.07781 | − | 3.59886i | 0.136415 | − | 0.236277i | ||||
\(233\) | −1.86545 | + | 1.07702i | −0.122210 | + | 0.0705577i | −0.559859 | − | 0.828588i | \(-0.689145\pi\) |
0.437649 | + | 0.899146i | \(0.355811\pi\) | |||||||
\(234\) | 3.39208 | + | 3.88777i | 0.221747 | + | 0.254151i | ||||
\(235\) | −13.8728 | + | 24.0284i | −0.904963 | + | 1.56744i | ||||
\(236\) | −2.22966 | −0.145139 | ||||||||
\(237\) | 2.18336 | + | 22.4600i | 0.141825 | + | 1.45894i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −8.78317 | + | 5.07096i | −0.568136 | + | 0.328013i | −0.756404 | − | 0.654104i | \(-0.773046\pi\) |
0.188269 | + | 0.982118i | \(0.439712\pi\) | |||||||
\(240\) | 3.70436 | + | 1.68409i | 0.239115 | + | 0.108708i | ||||
\(241\) | 9.13490 | − | 5.27404i | 0.588431 | − | 0.339731i | −0.176046 | − | 0.984382i | \(-0.556331\pi\) |
0.764477 | + | 0.644651i | \(0.222997\pi\) | |||||||
\(242\) | 18.3810 | + | 10.6123i | 1.18158 | + | 0.682184i | ||||
\(243\) | −7.26102 | − | 13.7941i | −0.465795 | − | 0.884893i | ||||
\(244\) | − | 8.99970i | − | 0.576146i | ||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −8.05090 | − | 11.2652i | −0.513307 | − | 0.718241i | ||||
\(247\) | −0.979729 | + | 1.69694i | −0.0623387 | + | 0.107974i | ||||
\(248\) | 8.37019 | 0.531507 | ||||||||
\(249\) | −19.7819 | − | 8.99332i | −1.25363 | − | 0.569929i | ||||
\(250\) | − | 10.5263i | − | 0.665744i | ||||||
\(251\) | 29.3005 | 1.84943 | 0.924714 | − | 0.380662i | \(-0.124304\pi\) | ||||
0.924714 | + | 0.380662i | \(0.124304\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 20.8623 | 1.31160 | ||||||||
\(254\) | − | 6.67667i | − | 0.418932i | ||||||
\(255\) | −5.85596 | + | 4.18509i | −0.366715 | + | 0.262081i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 3.81430 | − | 6.60656i | 0.237930 | − | 0.412106i | −0.722190 | − | 0.691694i | \(-0.756865\pi\) |
0.960120 | + | 0.279588i | \(0.0901979\pi\) | |||||||
\(258\) | 2.52400 | − | 5.55185i | 0.157137 | − | 0.345643i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 4.04054i | 0.250584i | ||||||||
\(261\) | −11.7950 | − | 4.03726i | −0.730093 | − | 0.249900i | ||||
\(262\) | −6.47185 | − | 3.73653i | −0.399832 | − | 0.230843i | ||||
\(263\) | 10.5531 | − | 6.09281i | 0.650729 | − | 0.375699i | −0.138006 | − | 0.990431i | \(-0.544069\pi\) |
0.788736 | + | 0.614733i | \(0.210736\pi\) | |||||||
\(264\) | −7.99939 | + | 5.71694i | −0.492329 | + | 0.351854i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −1.63613 | + | 1.16930i | −0.100129 | + | 0.0715597i | ||||
\(268\) | −10.8712 | −0.664067 | ||||||||
\(269\) | 1.38717 | − | 2.40264i | 0.0845771 | − | 0.146492i | −0.820634 | − | 0.571454i | \(-0.806379\pi\) |
0.905211 | + | 0.424963i | \(0.139713\pi\) | |||||||
\(270\) | 2.81728 | − | 11.8781i | 0.171454 | − | 0.722877i | ||||
\(271\) | 2.77815 | − | 1.60396i | 0.168760 | − | 0.0974338i | −0.413241 | − | 0.910622i | \(-0.635603\pi\) |
0.582001 | + | 0.813188i | \(0.302270\pi\) | |||||||
\(272\) | −0.884414 | + | 1.53185i | −0.0536255 | + | 0.0928821i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.99395 | − | 6.91772i | −0.241283 | − | 0.417915i | ||||
\(275\) | −2.55385 | − | 1.47446i | −0.154003 | − | 0.0889135i | ||||
\(276\) | −2.63442 | + | 5.79472i | −0.158573 | + | 0.348801i | ||||
\(277\) | −5.04054 | − | 8.73047i | −0.302857 | − | 0.524563i | 0.673925 | − | 0.738800i | \(-0.264607\pi\) |
−0.976782 | + | 0.214236i | \(0.931274\pi\) | |||||||
\(278\) | −10.3803 | − | 17.9792i | −0.622569 | − | 1.07832i | ||||
\(279\) | −4.83634 | − | 24.6404i | −0.289544 | − | 1.47518i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 4.21999 | + | 2.43641i | 0.251743 | + | 0.145344i | 0.620562 | − | 0.784157i | \(-0.286904\pi\) |
−0.368819 | + | 0.929501i | \(0.620238\pi\) | |||||||
\(282\) | 20.3593 | − | 1.97915i | 1.21238 | − | 0.117857i | ||||
\(283\) | 2.81781i | 0.167502i | 0.996487 | + | 0.0837508i | \(0.0266900\pi\) | ||||
−0.996487 | + | 0.0837508i | \(0.973310\pi\) | |||||||
\(284\) | − | 4.52106i | − | 0.268276i | ||||||
\(285\) | 4.61438 | − | 0.448568i | 0.273332 | − | 0.0265709i | ||||
\(286\) | −8.45502 | − | 4.88151i | −0.499956 | − | 0.288650i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −0.577806 | − | 2.94383i | −0.0340475 | − | 0.173467i | ||||
\(289\) | 6.93562 | + | 12.0129i | 0.407978 | + | 0.706638i | ||||
\(290\) | −4.88151 | − | 8.45502i | −0.286652 | − | 0.496496i | ||||
\(291\) | 3.29050 | − | 7.23785i | 0.192892 | − | 0.424290i | ||||
\(292\) | −4.62660 | − | 2.67117i | −0.270751 | − | 0.156318i | ||||
\(293\) | 4.05694 | + | 7.02683i | 0.237009 | + | 0.410512i | 0.959855 | − | 0.280498i | \(-0.0904995\pi\) |
−0.722846 | + | 0.691010i | \(0.757166\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.61914 | + | 4.53648i | −0.152492 | + | 0.264124i | ||||
\(296\) | 7.96547 | − | 4.59886i | 0.462983 | − | 0.267304i | ||||
\(297\) | 21.4518 | + | 20.2456i | 1.24476 | + | 1.17477i | ||||
\(298\) | −0.598865 | + | 1.03726i | −0.0346913 | + | 0.0600871i | ||||
\(299\) | −6.32061 | −0.365530 | ||||||||
\(300\) | 0.732039 | − | 0.523168i | 0.0422643 | − | 0.0302051i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 13.1849 | − | 7.61229i | 0.758705 | − | 0.438038i | ||||
\(303\) | −9.33307 | + | 6.67008i | −0.536171 | + | 0.383186i | ||||
\(304\) | 0.986680 | − | 0.569660i | 0.0565900 | − | 0.0326722i | ||||
\(305\) | −18.3108 | − | 10.5718i | −1.04847 | − | 0.605337i | ||||
\(306\) | 5.02053 | + | 1.71845i | 0.287004 | + | 0.0982375i | ||||
\(307\) | − | 10.8996i | − | 0.622074i | −0.950398 | − | 0.311037i | \(-0.899324\pi\) | ||
0.950398 | − | 0.311037i | \(-0.100676\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −4.20046 | + | 9.23943i | −0.238956 | + | 0.525613i | ||||
\(310\) | 9.83228 | − | 17.0300i | 0.558436 | − | 0.967240i | ||||
\(311\) | 8.23637 | 0.467042 | 0.233521 | − | 0.972352i | \(-0.424975\pi\) | ||||
0.233521 | + | 0.972352i | \(0.424975\pi\) | |||||||
\(312\) | 2.42356 | − | 1.73205i | 0.137207 | − | 0.0980581i | ||||
\(313\) | − | 33.8023i | − | 1.91062i | −0.295611 | − | 0.955308i | \(-0.595523\pi\) | ||
0.295611 | − | 0.955308i | \(-0.404477\pi\) | |||||||
\(314\) | 10.0269 | 0.565853 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 13.0284 | 0.732907 | ||||||||
\(317\) | − | 6.73090i | − | 0.378045i | −0.981973 | − | 0.189022i | \(-0.939468\pi\) | ||
0.981973 | − | 0.189022i | \(-0.0605319\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 23.5900 | 1.32079 | ||||||||
\(320\) | 1.17468 | − | 2.03460i | 0.0656665 | − | 0.113738i | ||||
\(321\) | 4.74909 | + | 6.64513i | 0.265068 | + | 0.370895i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 2.01526i | 0.112132i | ||||||||
\(324\) | −8.33228 | + | 3.40192i | −0.462905 | + | 0.188996i | ||||
\(325\) | 0.773734 | + | 0.446715i | 0.0429190 | + | 0.0247793i | ||||
\(326\) | 10.3950 | − | 6.00158i | 0.575728 | − | 0.332397i | ||||
\(327\) | 6.68023 | + | 3.03699i | 0.369417 | + | 0.167946i | ||||
\(328\) | −6.92317 | + | 3.99709i | −0.382268 | + | 0.220703i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 2.23499 | + | 22.9912i | 0.123032 | + | 1.26562i | ||||
\(331\) | −32.0569 | −1.76200 | −0.881002 | − | 0.473112i | \(-0.843131\pi\) | ||||
−0.881002 | + | 0.473112i | \(0.843131\pi\) | |||||||
\(332\) | −6.27298 | + | 10.8651i | −0.344275 | + | 0.596301i | ||||
\(333\) | −18.1408 | − | 20.7917i | −0.994108 | − | 1.13938i | ||||
\(334\) | 14.8518 | − | 8.57472i | 0.812657 | − | 0.469188i | ||||
\(335\) | −12.7702 | + | 22.1187i | −0.697712 | + | 1.20847i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −12.1123 | − | 20.9791i | −0.659799 | − | 1.14280i | −0.980668 | − | 0.195681i | \(-0.937308\pi\) |
0.320869 | − | 0.947124i | \(-0.396025\pi\) | |||||||
\(338\) | −8.69673 | − | 5.02106i | −0.473040 | − | 0.273110i | ||||
\(339\) | −6.88075 | − | 9.62785i | −0.373711 | − | 0.522913i | ||||
\(340\) | 2.07781 | + | 3.59886i | 0.112685 | + | 0.195176i | ||||
\(341\) | 23.7574 | + | 41.1490i | 1.28654 | + | 2.22834i | ||||
\(342\) | −2.24709 | − | 2.57547i | −0.121509 | − | 0.139265i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −3.04933 | − | 1.76053i | −0.164409 | − | 0.0949214i | ||||
\(345\) | 8.69536 | + | 12.1669i | 0.468143 | + | 0.655045i | ||||
\(346\) | 1.98748i | 0.106847i | ||||||||
\(347\) | 22.7999i | 1.22396i | 0.790873 | + | 0.611981i | \(0.209627\pi\) | ||||
−0.790873 | + | 0.611981i | \(0.790373\pi\) | |||||||
\(348\) | −2.97887 | + | 6.55238i | −0.159684 | + | 0.351244i | ||||
\(349\) | 2.46389 | + | 1.42253i | 0.131889 | + | 0.0761461i | 0.564493 | − | 0.825438i | \(-0.309072\pi\) |
−0.432604 | + | 0.901584i | \(0.642405\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −6.49921 | − | 6.13376i | −0.346902 | − | 0.327396i | ||||
\(352\) | 2.83834 | + | 4.91614i | 0.151284 | + | 0.262031i | ||||
\(353\) | 3.57212 | + | 6.18709i | 0.190125 | + | 0.329306i | 0.945291 | − | 0.326227i | \(-0.105777\pi\) |
−0.755167 | + | 0.655533i | \(0.772444\pi\) | |||||||
\(354\) | 3.84377 | − | 0.373656i | 0.204294 | − | 0.0198596i | ||||
\(355\) | −9.19856 | − | 5.31079i | −0.488209 | − | 0.281868i | ||||
\(356\) | 0.580529 | + | 1.00551i | 0.0307680 | + | 0.0532917i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −4.15561 | + | 7.19773i | −0.219631 | + | 0.380412i | ||||
\(359\) | −10.0491 | + | 5.80186i | −0.530372 | + | 0.306210i | −0.741168 | − | 0.671320i | \(-0.765728\pi\) |
0.210796 | + | 0.977530i | \(0.432394\pi\) | |||||||
\(360\) | −6.66826 | − | 2.28245i | −0.351448 | − | 0.120296i | ||||
\(361\) | −8.85097 | + | 15.3303i | −0.465841 | + | 0.806860i | ||||
\(362\) | −15.4541 | −0.812250 | ||||||||
\(363\) | −33.4660 | − | 15.2144i | −1.75651 | − | 0.798550i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −10.8695 | + | 6.27554i | −0.568938 | + | 0.328477i | ||||
\(366\) | 1.50821 | + | 15.5148i | 0.0788353 | + | 0.810971i | ||||
\(367\) | 6.78525 | − | 3.91747i | 0.354187 | − | 0.204490i | −0.312341 | − | 0.949970i | \(-0.601113\pi\) |
0.666528 | + | 0.745480i | \(0.267780\pi\) | |||||||
\(368\) | 3.18272 | + | 1.83755i | 0.165911 | + | 0.0957887i | ||||
\(369\) | 15.7670 | + | 18.0711i | 0.820798 | + | 0.940744i | ||||
\(370\) | − | 21.6088i | − | 1.12339i | ||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −14.4296 | + | 1.40271i | −0.748138 | + | 0.0727272i | ||||
\(373\) | −12.8339 | + | 22.2289i | −0.664512 | + | 1.15097i | 0.314905 | + | 0.949123i | \(0.398027\pi\) |
−0.979417 | + | 0.201845i | \(0.935306\pi\) | |||||||
\(374\) | −10.0411 | −0.519211 | ||||||||
\(375\) | 1.76405 | + | 18.1466i | 0.0910951 | + | 0.937087i | ||||
\(376\) | − | 11.8099i | − | 0.609048i | ||||||
\(377\) | −7.14702 | −0.368091 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −15.1045 | −0.775868 | −0.387934 | − | 0.921687i | \(-0.626811\pi\) | ||||
−0.387934 | + | 0.921687i | \(0.626811\pi\) | |||||||
\(380\) | − | 2.67667i | − | 0.137310i | ||||||
\(381\) | 1.11891 | + | 11.5101i | 0.0573233 | + | 0.589679i | ||||
\(382\) | 12.3381 | 0.631271 | ||||||||
\(383\) | −0.763322 | + | 1.32211i | −0.0390040 | + | 0.0675568i | −0.884868 | − | 0.465841i | \(-0.845752\pi\) |
0.845864 | + | 0.533398i | \(0.179085\pi\) | |||||||
\(384\) | −1.72392 | + | 0.167584i | −0.0879737 | + | 0.00855200i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 4.39388i | 0.223643i | ||||||||
\(387\) | −3.42078 | + | 9.99395i | −0.173888 | + | 0.508021i | ||||
\(388\) | −3.97536 | − | 2.29517i | −0.201818 | − | 0.116520i | ||||
\(389\) | −12.8948 | + | 7.44483i | −0.653794 | + | 0.377468i | −0.789908 | − | 0.613225i | \(-0.789872\pi\) |
0.136115 | + | 0.990693i | \(0.456538\pi\) | |||||||
\(390\) | −0.677132 | − | 6.96559i | −0.0342879 | − | 0.352716i | ||||
\(391\) | −5.62969 | + | 3.25030i | −0.284706 | + | 0.164375i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 11.7832 | + | 5.35691i | 0.594382 | + | 0.270220i | ||||
\(394\) | 10.8865 | 0.548454 | ||||||||
\(395\) | 15.3042 | − | 26.5077i | 0.770039 | − | 1.33375i | ||||
\(396\) | 12.8323 | − | 11.1962i | 0.644846 | − | 0.562628i | ||||
\(397\) | −24.9302 | + | 14.3935i | −1.25121 | + | 0.722388i | −0.971350 | − | 0.237653i | \(-0.923622\pi\) |
−0.279862 | + | 0.960040i | \(0.590289\pi\) | |||||||
\(398\) | −13.7832 | + | 23.8733i | −0.690892 | + | 1.19666i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.259741 | − | 0.449885i | −0.0129871 | − | 0.0224942i | ||||
\(401\) | 33.0592 | + | 19.0868i | 1.65090 | + | 0.953147i | 0.976703 | + | 0.214595i | \(0.0688431\pi\) |
0.674196 | + | 0.738552i | \(0.264490\pi\) | |||||||
\(402\) | 18.7412 | − | 1.82185i | 0.934726 | − | 0.0908657i | ||||
\(403\) | −7.19773 | − | 12.4668i | −0.358544 | − | 0.621017i | ||||
\(404\) | 3.31155 | + | 5.73577i | 0.164756 | + | 0.285365i | ||||
\(405\) | −2.86619 | + | 20.9491i | −0.142422 | + | 1.04097i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 45.2173 | + | 26.1062i | 2.24134 | + | 1.29404i | ||||
\(408\) | 1.26795 | − | 2.78901i | 0.0627728 | − | 0.138076i | ||||
\(409\) | − | 6.96694i | − | 0.344493i | −0.985054 | − | 0.172247i | \(-0.944897\pi\) | ||
0.985054 | − | 0.172247i | \(-0.0551026\pi\) | |||||||
\(410\) | 18.7812i | 0.927538i | ||||||||
\(411\) | 8.04456 | + | 11.2563i | 0.396809 | + | 0.555232i | ||||
\(412\) | 5.07471 | + | 2.92989i | 0.250013 | + | 0.144345i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 3.57043 | − | 10.4311i | 0.175477 | − | 0.512663i | ||||
\(415\) | 14.7375 | + | 25.5261i | 0.723435 | + | 1.25303i | ||||
\(416\) | −0.859925 | − | 1.48943i | −0.0421613 | − | 0.0730255i | ||||
\(417\) | 20.9079 | + | 29.2552i | 1.02386 | + | 1.43263i | ||||
\(418\) | 5.60106 | + | 3.23377i | 0.273957 | + | 0.158169i | ||||
\(419\) | 17.4232 | + | 30.1778i | 0.851177 | + | 1.47428i | 0.880146 | + | 0.474702i | \(0.157444\pi\) |
−0.0289690 | + | 0.999580i | \(0.509222\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.84597 | − | 4.92936i | 0.138704 | − | 0.240242i | −0.788302 | − | 0.615288i | \(-0.789040\pi\) |
0.927006 | + | 0.375046i | \(0.122373\pi\) | |||||||
\(422\) | −8.92978 | + | 5.15561i | −0.434695 | + | 0.250971i | ||||
\(423\) | −34.7663 | + | 6.82382i | −1.69040 | + | 0.331785i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0.918875 | 0.0445720 | ||||||||
\(426\) | 0.757659 | + | 7.79396i | 0.0367087 | + | 0.377619i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 4.08386 | − | 2.35782i | 0.197401 | − | 0.113969i | ||||
\(429\) | 15.3939 | + | 6.99842i | 0.743224 | + | 0.337887i | ||||
\(430\) | −7.16396 | + | 4.13611i | −0.345477 | + | 0.199461i | ||||
\(431\) | −26.2350 | − | 15.1468i | −1.26370 | − | 0.729595i | −0.289908 | − | 0.957055i | \(-0.593625\pi\) |
−0.973787 | + | 0.227460i | \(0.926958\pi\) | |||||||
\(432\) | 1.48943 | + | 4.97811i | 0.0716604 | + | 0.239509i | ||||
\(433\) | − | 23.6094i | − | 1.13459i | −0.823513 | − | 0.567297i | \(-0.807989\pi\) | ||
0.823513 | − | 0.567297i | \(-0.192011\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 9.83228 | + | 13.7578i | 0.471422 | + | 0.659634i | ||||
\(436\) | 2.11835 | − | 3.66908i | 0.101450 | − | 0.175717i | ||||
\(437\) | 4.18711 | 0.200297 | ||||||||
\(438\) | 8.42356 | + | 3.82955i | 0.402493 | + | 0.182983i | ||||
\(439\) | 25.0202i | 1.19415i | 0.802185 | + | 0.597075i | \(0.203671\pi\) | ||||
−0.802185 | + | 0.597075i | \(0.796329\pi\) | |||||||
\(440\) | 13.3365 | 0.635794 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.04212 | 0.144699 | ||||||||
\(443\) | 23.0300i | 1.09419i | 0.837071 | + | 0.547094i | \(0.184266\pi\) | ||||
−0.837071 | + | 0.547094i | \(0.815734\pi\) | |||||||
\(444\) | −12.9612 | + | 9.26298i | −0.615110 | + | 0.439602i | ||||
\(445\) | 2.72774 | 0.129307 | ||||||||
\(446\) | −3.60456 | + | 6.24329i | −0.170681 | + | 0.295628i | ||||
\(447\) | 0.858568 | − | 1.88853i | 0.0406089 | − | 0.0893242i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 15.9028i | − | 0.750501i | −0.926923 | − | 0.375251i | \(-0.877557\pi\) | ||
0.926923 | − | 0.375251i | \(-0.122443\pi\) | |||||||
\(450\) | −1.17430 | + | 1.02458i | −0.0553572 | + | 0.0482991i | ||||
\(451\) | −39.3006 | − | 22.6902i | −1.85059 | − | 1.06844i | ||||
\(452\) | −5.91693 | + | 3.41614i | −0.278309 | + | 0.160682i | ||||
\(453\) | −21.4540 | + | 15.3326i | −1.00800 | + | 0.720388i | ||||
\(454\) | 11.0470 | − | 6.37800i | 0.518462 | − | 0.299334i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −1.60550 | + | 1.14740i | −0.0751842 | + | 0.0537321i | ||||
\(457\) | −5.66614 | −0.265051 | −0.132525 | − | 0.991180i | \(-0.542309\pi\) | ||||
−0.132525 | + | 0.991180i | \(0.542309\pi\) | |||||||
\(458\) | −2.24709 | + | 3.89208i | −0.105000 | + | 0.181865i | ||||
\(459\) | −8.94300 | − | 2.12112i | −0.417423 | − | 0.0990056i | ||||
\(460\) | 7.47736 | − | 4.31705i | 0.348634 | − | 0.201284i | ||||
\(461\) | 15.7292 | − | 27.2438i | 0.732582 | − | 1.26887i | −0.223194 | − | 0.974774i | \(-0.571648\pi\) |
0.955776 | − | 0.294095i | \(-0.0950183\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 4.55148 | + | 7.88340i | 0.211525 | + | 0.366373i | 0.952192 | − | 0.305500i | \(-0.0988236\pi\) |
−0.740667 | + | 0.671873i | \(0.765490\pi\) | |||||||
\(464\) | 3.59886 | + | 2.07781i | 0.167073 | + | 0.0964597i | ||||
\(465\) | −14.0961 | + | 31.0062i | −0.653693 | + | 1.43788i | ||||
\(466\) | −1.07702 | − | 1.86545i | −0.0498918 | − | 0.0864152i | ||||
\(467\) | −15.1516 | − | 26.2433i | −0.701132 | − | 1.21440i | −0.968069 | − | 0.250682i | \(-0.919345\pi\) |
0.266938 | − | 0.963714i | \(-0.413988\pi\) | |||||||
\(468\) | −3.88777 | + | 3.39208i | −0.179712 | + | 0.156799i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −24.0284 | − | 13.8728i | −1.10835 | − | 0.639906i | ||||
\(471\) | −17.2857 | + | 1.68036i | −0.796482 | + | 0.0774268i | ||||
\(472\) | − | 2.22966i | − | 0.102628i | ||||||
\(473\) | − | 19.9879i | − | 0.919044i | ||||||
\(474\) | −22.4600 | + | 2.18336i | −1.03162 | + | 0.100285i | ||||
\(475\) | −0.512563 | − | 0.295928i | −0.0235180 | − | 0.0135781i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −5.07096 | − | 8.78317i | −0.231940 | − | 0.401733i | ||||
\(479\) | 2.33143 | + | 4.03816i | 0.106526 | + | 0.184508i | 0.914361 | − | 0.404901i | \(-0.132694\pi\) |
−0.807835 | + | 0.589409i | \(0.799361\pi\) | |||||||
\(480\) | −1.68409 | + | 3.70436i | −0.0768678 | + | 0.169080i | ||||
\(481\) | −13.6994 | − | 7.90935i | −0.624639 | − | 0.360636i | ||||
\(482\) | 5.27404 | + | 9.13490i | 0.240226 | + | 0.416083i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −10.6123 | + | 18.3810i | −0.482377 | + | 0.835501i | ||||
\(485\) | −9.33953 | + | 5.39218i | −0.424086 | + | 0.244846i | ||||
\(486\) | 13.7941 | − | 7.26102i | 0.625714 | − | 0.329367i | ||||
\(487\) | 9.74105 | − | 16.8720i | 0.441409 | − | 0.764543i | −0.556385 | − | 0.830924i | \(-0.687812\pi\) |
0.997794 | + | 0.0663816i | \(0.0211455\pi\) | |||||||
\(488\) | 8.99970 | 0.407397 | ||||||||
\(489\) | −16.9145 | + | 12.0883i | −0.764900 | + | 0.546652i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −17.7437 | + | 10.2443i | −0.800762 | + | 0.462320i | −0.843737 | − | 0.536756i | \(-0.819649\pi\) |
0.0429758 | + | 0.999076i | \(0.486316\pi\) | |||||||
\(492\) | 11.2652 | − | 8.05090i | 0.507873 | − | 0.362963i | ||||
\(493\) | −6.36577 | + | 3.67528i | −0.286700 | + | 0.165526i | ||||
\(494\) | −1.69694 | − | 0.979729i | −0.0763490 | − | 0.0440801i | ||||
\(495\) | −7.70592 | − | 39.2605i | −0.346355 | − | 1.76463i | ||||
\(496\) | 8.37019i | 0.375832i | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 8.99332 | − | 19.7819i | 0.403000 | − | 0.886449i | ||||
\(499\) | 5.12598 | − | 8.87845i | 0.229470 | − | 0.397454i | −0.728181 | − | 0.685385i | \(-0.759634\pi\) |
0.957651 | + | 0.287931i | \(0.0929673\pi\) | |||||||
\(500\) | 10.5263 | 0.470752 | ||||||||
\(501\) | −24.1665 | + | 17.2711i | −1.07968 | + | 0.771616i | ||||
\(502\) | 29.3005i | 1.30774i | ||||||||
\(503\) | 14.5521 | 0.648845 | 0.324422 | − | 0.945912i | \(-0.394830\pi\) | ||||
0.324422 | + | 0.945912i | \(0.394830\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 15.5600 | 0.692412 | ||||||||
\(506\) | 20.8623i | 0.927442i | ||||||||
\(507\) | 15.8340 | + | 7.19849i | 0.703211 | + | 0.319696i | ||||
\(508\) | 6.67667 | 0.296229 | ||||||||
\(509\) | 16.6617 | − | 28.8589i | 0.738517 | − | 1.27915i | −0.214646 | − | 0.976692i | \(-0.568860\pi\) |
0.953163 | − | 0.302457i | \(-0.0978068\pi\) | |||||||
\(510\) | −4.18509 | − | 5.85596i | −0.185319 | − | 0.259306i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 4.30542 | + | 4.06333i | 0.190089 | + | 0.179401i | ||||
\(514\) | 6.60656 | + | 3.81430i | 0.291403 | + | 0.168242i | ||||
\(515\) | 11.9223 | − | 6.88335i | 0.525360 | − | 0.303317i | ||||
\(516\) | 5.55185 | + | 2.52400i | 0.244406 | + | 0.111113i | ||||
\(517\) | 58.0591 | − | 33.5204i | 2.55343 | − | 1.47423i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −0.333070 | − | 3.42626i | −0.0146202 | − | 0.150396i | ||||
\(520\) | −4.04054 | −0.177189 | ||||||||
\(521\) | −3.26963 | + | 5.66316i | −0.143245 | + | 0.248108i | −0.928717 | − | 0.370790i | \(-0.879087\pi\) |
0.785472 | + | 0.618897i | \(0.212420\pi\) | |||||||
\(522\) | 4.03726 | − | 11.7950i | 0.176706 | − | 0.516254i | ||||
\(523\) | 0.681439 | − | 0.393429i | 0.0297972 | − | 0.0172034i | −0.485027 | − | 0.874499i | \(-0.661190\pi\) |
0.514825 | + | 0.857296i | \(0.327857\pi\) | |||||||
\(524\) | 3.73653 | − | 6.47185i | 0.163231 | − | 0.282724i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 6.09281 | + | 10.5531i | 0.265659 | + | 0.460135i | ||||
\(527\) | −12.8219 | − | 7.40271i | −0.558530 | − | 0.322467i | ||||
\(528\) | −5.71694 | − | 7.99939i | −0.248798 | − | 0.348129i | ||||
\(529\) | −4.74685 | − | 8.22178i | −0.206385 | − | 0.357469i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −6.56374 | + | 1.28831i | −0.284842 | + | 0.0559079i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 11.9068 | + | 6.87440i | 0.515741 | + | 0.297763i | ||||
\(534\) | −1.16930 | − | 1.63613i | −0.0506004 | − | 0.0708022i | ||||
\(535\) | − | 11.0787i | − | 0.478975i | ||||||
\(536\) | − | 10.8712i | − | 0.469566i | ||||||
\(537\) | 5.95773 | − | 13.1048i | 0.257095 | − | 0.565512i | ||||
\(538\) | 2.40264 | + | 1.38717i | 0.103585 | + | 0.0598050i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 11.8781 | + | 2.81728i | 0.511152 | + | 0.121236i | ||||
\(541\) | −2.80227 | − | 4.85367i | −0.120479 | − | 0.208676i | 0.799478 | − | 0.600696i | \(-0.205110\pi\) |
−0.919957 | + | 0.392020i | \(0.871776\pi\) | |||||||
\(542\) | 1.60396 | + | 2.77815i | 0.0688961 | + | 0.119332i | ||||
\(543\) | 26.6417 | − | 2.58987i | 1.14331 | − | 0.111142i | ||||
\(544\) | −1.53185 | − | 0.884414i | −0.0656775 | − | 0.0379189i | ||||
\(545\) | −4.97675 | − | 8.61999i | −0.213181 | − | 0.369240i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6.91456 | + | 11.9764i | −0.295645 | + | 0.512073i | −0.975135 | − | 0.221612i | \(-0.928868\pi\) |
0.679489 | + | 0.733685i | \(0.262201\pi\) | |||||||
\(548\) | 6.91772 | − | 3.99395i | 0.295510 | − | 0.170613i | ||||
\(549\) | −5.20007 | − | 26.4936i | −0.221934 | − | 1.13072i | ||||
\(550\) | 1.47446 | − | 2.55385i | 0.0628714 | − | 0.108896i | ||||
\(551\) | 4.73457 | 0.201700 | ||||||||
\(552\) | −5.79472 | − | 2.63442i | −0.246640 | − | 0.112128i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 8.73047 | − | 5.04054i | 0.370922 | − | 0.214152i | ||||
\(555\) | 3.62129 | + | 37.2519i | 0.153715 | + | 1.58125i | ||||
\(556\) | 17.9792 | − | 10.3803i | 0.762488 | − | 0.440223i | ||||
\(557\) | 24.0957 | + | 13.9117i | 1.02097 | + | 0.589456i | 0.914384 | − | 0.404848i | \(-0.132675\pi\) |
0.106584 | + | 0.994304i | \(0.466009\pi\) | |||||||
\(558\) | 24.6404 | − | 4.83634i | 1.04311 | − | 0.204739i | ||||
\(559\) | 6.05569i | 0.256128i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 17.3100 | − | 1.68272i | 0.730830 | − | 0.0710447i | ||||
\(562\) | −2.43641 | + | 4.21999i | −0.102774 | + | 0.178009i | ||||
\(563\) | 24.5300 | 1.03382 | 0.516909 | − | 0.856040i | \(-0.327083\pi\) | ||||
0.516909 | + | 0.856040i | \(0.327083\pi\) | |||||||
\(564\) | 1.97915 | + | 20.3593i | 0.0833373 | + | 0.857283i | ||||
\(565\) | 16.0515i | 0.675291i | ||||||||
\(566\) | −2.81781 | −0.118441 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 4.52106 | 0.189699 | ||||||||
\(569\) | 27.1079i | 1.13642i | 0.822882 | + | 0.568212i | \(0.192365\pi\) | ||||
−0.822882 | + | 0.568212i | \(0.807635\pi\) | |||||||
\(570\) | 0.448568 | + | 4.61438i | 0.0187885 | + | 0.193275i | ||||
\(571\) | −29.8354 | −1.24857 | −0.624287 | − | 0.781195i | \(-0.714610\pi\) | ||||
−0.624287 | + | 0.781195i | \(0.714610\pi\) | |||||||
\(572\) | 4.88151 | − | 8.45502i | 0.204106 | − | 0.353522i | ||||
\(573\) | −21.2699 | + | 2.06767i | −0.888563 | + | 0.0863781i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | − | 1.90915i | − | 0.0796169i | ||||||
\(576\) | 2.94383 | − | 0.577806i | 0.122660 | − | 0.0240752i | ||||
\(577\) | −24.3930 | − | 14.0833i | −1.01549 | − | 0.586296i | −0.102699 | − | 0.994712i | \(-0.532748\pi\) |
−0.912796 | + | 0.408416i | \(0.866081\pi\) | |||||||
\(578\) | −12.0129 | + | 6.93562i | −0.499669 | + | 0.288484i | ||||
\(579\) | −0.736346 | − | 7.57472i | −0.0306015 | − | 0.314795i | ||||
\(580\) | 8.45502 | − | 4.88151i | 0.351076 | − | 0.202694i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 7.23785 | + | 3.29050i | 0.300018 | + | 0.136395i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 2.67117 | − | 4.62660i | 0.110534 | − | 0.191450i | ||||
\(585\) | 2.33465 | + | 11.8947i | 0.0965258 | + | 0.491784i | ||||
\(586\) | −7.02683 | + | 4.05694i | −0.290276 | + | 0.167591i | ||||
\(587\) | −4.95928 | + | 8.58973i | −0.204692 | + | 0.354536i | −0.950034 | − | 0.312145i | \(-0.898952\pi\) |
0.745343 | + | 0.666681i | \(0.232286\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.76816 | + | 8.25870i | 0.196469 | + | 0.340294i | ||||
\(590\) | −4.53648 | − | 2.61914i | −0.186764 | − | 0.107828i | ||||
\(591\) | −18.7675 | + | 1.82441i | −0.771992 | + | 0.0750461i | ||||
\(592\) | 4.59886 | + | 7.96547i | 0.189012 | + | 0.327379i | ||||
\(593\) | −2.34936 | − | 4.06921i | −0.0964766 | − | 0.167102i | 0.813747 | − | 0.581219i | \(-0.197424\pi\) |
−0.910224 | + | 0.414116i | \(0.864091\pi\) | |||||||
\(594\) | −20.2456 | + | 21.4518i | −0.830686 | + | 0.880178i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −1.03726 | − | 0.598865i | −0.0424880 | − | 0.0245305i | ||||
\(597\) | 19.7605 | − | 43.4656i | 0.808743 | − | 1.77893i | ||||
\(598\) | − | 6.32061i | − | 0.258469i | ||||||
\(599\) | 14.7004i | 0.600641i | 0.953838 | + | 0.300320i | \(0.0970936\pi\) | ||||
−0.953838 | + | 0.300320i | \(0.902906\pi\) | |||||||
\(600\) | 0.523168 | + | 0.732039i | 0.0213582 | + | 0.0298854i | ||||
\(601\) | −16.2923 | − | 9.40634i | −0.664575 | − | 0.383693i | 0.129443 | − | 0.991587i | \(-0.458681\pi\) |
−0.794018 | + | 0.607894i | \(0.792014\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −32.0031 | + | 6.28147i | −1.30327 | + | 0.255801i | ||||
\(604\) | 7.61229 | + | 13.1849i | 0.309740 | + | 0.536485i | ||||
\(605\) | 24.9321 | + | 43.1836i | 1.01363 | + | 1.75566i | ||||
\(606\) | −6.67008 | − | 9.33307i | −0.270954 | − | 0.379130i | ||||
\(607\) | 10.9051 | + | 6.29608i | 0.442625 | + | 0.255550i | 0.704711 | − | 0.709495i | \(-0.251077\pi\) |
−0.262085 | + | 0.965045i | \(0.584410\pi\) | |||||||
\(608\) | 0.569660 | + | 0.986680i | 0.0231028 | + | 0.0400152i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 10.5718 | − | 18.3108i | 0.428038 | − | 0.741383i | ||||
\(611\) | −17.5900 | + | 10.1556i | −0.711617 | + | 0.410852i | ||||
\(612\) | −1.71845 | + | 5.02053i | −0.0694644 | + | 0.202943i | ||||
\(613\) | 4.91009 | − | 8.50452i | 0.198317 | − | 0.343494i | −0.749666 | − | 0.661816i | \(-0.769786\pi\) |
0.947983 | + | 0.318322i | \(0.103119\pi\) | |||||||
\(614\) | 10.8996 | 0.439873 | ||||||||
\(615\) | −3.14744 | − | 32.3774i | −0.126917 | − | 1.30558i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −3.25158 | + | 1.87730i | −0.130904 | + | 0.0755772i | −0.564022 | − | 0.825760i | \(-0.690747\pi\) |
0.433118 | + | 0.901337i | \(0.357413\pi\) | |||||||
\(618\) | −9.23943 | − | 4.20046i | −0.371664 | − | 0.168967i | ||||
\(619\) | 9.56902 | − | 5.52468i | 0.384611 | − | 0.222055i | −0.295211 | − | 0.955432i | \(-0.595390\pi\) |
0.679823 | + | 0.733376i | \(0.262057\pi\) | |||||||
\(620\) | 17.0300 | + | 9.83228i | 0.683942 | + | 0.394874i | ||||
\(621\) | −4.40706 | + | 18.5809i | −0.176849 | + | 0.745624i | ||||
\(622\) | 8.23637i | 0.330248i | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 1.73205 | + | 2.42356i | 0.0693375 | + | 0.0970201i | ||||
\(625\) | 13.6638 | − | 23.6664i | 0.546551 | − | 0.946654i | ||||
\(626\) | 33.8023 | 1.35101 | ||||||||
\(627\) | −10.1977 | − | 4.63613i | −0.407258 | − | 0.185149i | ||||
\(628\) | 10.0269i | 0.400118i | ||||||||
\(629\) | −16.2692 | −0.648696 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 19.4921 | 0.775969 | 0.387984 | − | 0.921666i | \(-0.373171\pi\) | ||||
0.387984 | + | 0.921666i | \(0.373171\pi\) | |||||||
\(632\) | 13.0284i | 0.518243i | ||||||||
\(633\) | 14.5303 | − | 10.3844i | 0.577526 | − | 0.412742i | ||||
\(634\) | 6.73090 | 0.267318 | ||||||||
\(635\) | 7.84294 | − | 13.5844i | 0.311238 | − | 0.539080i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 23.5900i | 0.933938i | ||||||||
\(639\) | −2.61229 | − | 13.3092i | −0.103341 | − | 0.526505i | ||||
\(640\) | 2.03460 | + | 1.17468i | 0.0804248 | + | 0.0464333i | ||||
\(641\) | 22.6669 | − | 13.0868i | 0.895290 | − | 0.516896i | 0.0196208 | − | 0.999807i | \(-0.493754\pi\) |
0.875669 | + | 0.482912i | \(0.160421\pi\) | |||||||
\(642\) | −6.64513 | + | 4.74909i | −0.262262 | + | 0.187432i | ||||
\(643\) | −9.50955 | + | 5.49034i | −0.375020 | + | 0.216518i | −0.675649 | − | 0.737223i | \(-0.736137\pi\) |
0.300629 | + | 0.953741i | \(0.402803\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 11.6570 | − | 8.33092i | 0.458993 | − | 0.328029i | ||||
\(646\) | −2.01526 | −0.0792894 | ||||||||
\(647\) | 16.0063 | − | 27.7237i | 0.629273 | − | 1.08993i | −0.358425 | − | 0.933558i | \(-0.616686\pi\) |
0.987698 | − | 0.156374i | \(-0.0499805\pi\) | |||||||
\(648\) | −3.40192 | − | 8.33228i | −0.133640 | − | 0.327323i | ||||
\(649\) | 10.9613 | − | 6.32852i | 0.430270 | − | 0.248416i | ||||
\(650\) | −0.446715 | + | 0.773734i | −0.0175216 | + | 0.0303483i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 6.00158 | + | 10.3950i | 0.235040 | + | 0.407101i | ||||
\(653\) | −19.3686 | − | 11.1825i | −0.757952 | − | 0.437604i | 0.0706080 | − | 0.997504i | \(-0.477506\pi\) |
−0.828560 | + | 0.559900i | \(0.810839\pi\) | |||||||
\(654\) | −3.03699 | + | 6.68023i | −0.118756 | + | 0.261218i | ||||
\(655\) | −8.77843 | − | 15.2047i | −0.343002 | − | 0.594097i | ||||
\(656\) | −3.99709 | − | 6.92317i | −0.156060 | − | 0.270304i | ||||
\(657\) | −15.1634 | − | 5.19020i | −0.591579 | − | 0.202489i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −19.2546 | − | 11.1166i | −0.750053 | − | 0.433043i | 0.0756603 | − | 0.997134i | \(-0.475894\pi\) |
−0.825713 | + | 0.564091i | \(0.809227\pi\) | |||||||
\(660\) | −22.9912 | + | 2.23499i | −0.894930 | + | 0.0869970i | ||||
\(661\) | 10.5499i | 0.410343i | 0.978726 | + | 0.205171i | \(0.0657751\pi\) | ||||
−0.978726 | + | 0.205171i | \(0.934225\pi\) | |||||||
\(662\) | − | 32.0569i | − | 1.24593i | ||||||
\(663\) | −5.24438 | + | 0.509811i | −0.203675 | + | 0.0197994i | ||||
\(664\) | −10.8651 | − | 6.27298i | −0.421649 | − | 0.243439i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 20.7917 | − | 18.1408i | 0.805664 | − | 0.702941i | ||||
\(667\) | 7.63613 | + | 13.2262i | 0.295672 | + | 0.512119i | ||||
\(668\) | 8.57472 | + | 14.8518i | 0.331766 | + | 0.574635i | ||||
\(669\) | 5.16772 | − | 11.3670i | 0.199796 | − | 0.439475i | ||||
\(670\) | −22.1187 | − | 12.7702i | −0.854519 | − | 0.493357i | ||||
\(671\) | 25.5442 | + | 44.2438i | 0.986121 | + | 1.70801i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 9.93562 | − | 17.2090i | 0.382990 | − | 0.663358i | −0.608498 | − | 0.793555i | \(-0.708228\pi\) |
0.991488 | + | 0.130197i | \(0.0415610\pi\) | |||||||
\(674\) | 20.9791 | − | 12.1123i | 0.808085 | − | 0.466548i | ||||
\(675\) | 1.85271 | − | 1.96309i | 0.0713108 | − | 0.0755595i | ||||
\(676\) | 5.02106 | − | 8.69673i | 0.193118 | − | 0.334490i | ||||
\(677\) | −15.9290 | −0.612201 | −0.306100 | − | 0.951999i | \(-0.599024\pi\) | ||||
−0.306100 | + | 0.951999i | \(0.599024\pi\) | |||||||
\(678\) | 9.62785 | − | 6.88075i | 0.369755 | − | 0.264254i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −3.59886 | + | 2.07781i | −0.138010 | + | 0.0796802i | ||||
\(681\) | −17.9754 | + | 12.8465i | −0.688818 | + | 0.492279i | ||||
\(682\) | −41.1490 | + | 23.7574i | −1.57568 | + | 0.909718i | ||||
\(683\) | −16.4777 | − | 9.51343i | −0.630503 | − | 0.364021i | 0.150444 | − | 0.988619i | \(-0.451930\pi\) |
−0.780947 | + | 0.624597i | \(0.785263\pi\) | |||||||
\(684\) | 2.57547 | − | 2.24709i | 0.0984754 | − | 0.0859197i | ||||
\(685\) | − | 18.7664i | − | 0.717028i | ||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 3.22157 | − | 7.08623i | 0.122910 | − | 0.270356i | ||||
\(688\) | 1.76053 | − | 3.04933i | 0.0671196 | − | 0.116254i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −12.1669 | + | 8.69536i | −0.463187 | + | 0.331027i | ||||
\(691\) | 0.161055i | 0.00612681i | 0.999995 | + | 0.00306340i | \(0.000975113\pi\) | ||||
−0.999995 | + | 0.00306340i | \(0.999025\pi\) | |||||||
\(692\) | −1.98748 | −0.0755525 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −22.7999 | −0.865471 | ||||||||
\(695\) | − | 48.7741i | − | 1.85011i | ||||||
\(696\) | −6.55238 | − | 2.97887i | −0.248367 | − | 0.112914i | ||||
\(697\) | 14.1403 | 0.535604 | ||||||||
\(698\) | −1.42253 | + | 2.46389i | −0.0538434 | + | 0.0932595i | ||||
\(699\) | 2.16932 | + | 3.03540i | 0.0820511 | + | 0.114809i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 9.98234i | − | 0.377028i | −0.982071 | − | 0.188514i | \(-0.939633\pi\) | ||
0.982071 | − | 0.188514i | \(-0.0603670\pi\) | |||||||
\(702\) | 6.13376 | − | 6.49921i | 0.231504 | − | 0.245297i | ||||
\(703\) | 9.07522 | + | 5.23958i | 0.342278 | + | 0.197614i | ||||
\(704\) | −4.91614 | + | 2.83834i | −0.185284 | + | 0.106974i | ||||
\(705\) | 43.7481 | + | 19.8889i | 1.64765 | + | 0.749060i | ||||
\(706\) | −6.18709 | + | 3.57212i | −0.232854 | + | 0.134438i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0.373656 | + | 3.84377i | 0.0140429 | + | 0.144458i | ||||
\(709\) | −24.3923 | −0.916072 | −0.458036 | − | 0.888934i | \(-0.651447\pi\) | ||||
−0.458036 | + | 0.888934i | \(0.651447\pi\) | |||||||
\(710\) | 5.31079 | − | 9.19856i | 0.199311 | − | 0.345216i | ||||
\(711\) | 38.3535 | − | 7.52790i | 1.43837 | − | 0.282318i | ||||
\(712\) | −1.00551 | + | 0.580529i | −0.0376829 | + | 0.0217563i | ||||
\(713\) | −15.3806 | + | 26.6400i | −0.576008 | + | 0.997676i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −11.4684 | − | 19.8639i | −0.428894 | − | 0.742867i | ||||
\(716\) | −7.19773 | − | 4.15561i | −0.268992 | − | 0.155302i | ||||
\(717\) | 10.2139 | + | 14.2917i | 0.381444 | + | 0.533733i | ||||
\(718\) | −5.80186 | − | 10.0491i | −0.216523 | − | 0.375030i | ||||
\(719\) | −8.13460 | − | 14.0895i | −0.303370 | − | 0.525451i | 0.673527 | − | 0.739162i | \(-0.264778\pi\) |
−0.976897 | + | 0.213711i | \(0.931445\pi\) | |||||||
\(720\) | 2.28245 | − | 6.66826i | 0.0850619 | − | 0.248512i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −15.3303 | − | 8.85097i | −0.570536 | − | 0.329399i | ||||
\(723\) | −10.6229 | − | 14.8640i | −0.395070 | − | 0.552799i | ||||
\(724\) | − | 15.4541i | − | 0.574348i | ||||||
\(725\) | − | 2.15877i | − | 0.0801745i | ||||||
\(726\) | 15.2144 | − | 33.4660i | 0.564660 | − | 1.24204i | ||||
\(727\) | −20.6626 | − | 11.9296i | −0.766335 | − | 0.442444i | 0.0652306 | − | 0.997870i | \(-0.479222\pi\) |
−0.831566 | + | 0.555427i | \(0.812555\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −22.5632 | + | 14.8291i | −0.835673 | + | 0.549227i | ||||
\(730\) | −6.27554 | − | 10.8695i | −0.232268 | − | 0.402300i | ||||
\(731\) | 3.11408 | + | 5.39374i | 0.115178 | + | 0.199495i | ||||
\(732\) | −15.5148 | + | 1.50821i | −0.573443 | + | 0.0557450i | ||||
\(733\) | 10.6259 | + | 6.13486i | 0.392476 | + | 0.226596i | 0.683233 | − | 0.730201i | \(-0.260574\pi\) |
−0.290756 | + | 0.956797i | \(0.593907\pi\) | |||||||
\(734\) | 3.91747 | + | 6.78525i | 0.144596 | + | 0.250448i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.83755 | + | 3.18272i | −0.0677329 | + | 0.117317i | ||||
\(737\) | 53.4446 | − | 30.8562i | 1.96866 | − | 1.13660i | ||||
\(738\) | −18.0711 | + | 15.7670i | −0.665206 | + | 0.580392i | ||||
\(739\) | −20.9446 | + | 36.2771i | −0.770459 | + | 1.33447i | 0.166853 | + | 0.985982i | \(0.446639\pi\) |
−0.937312 | + | 0.348492i | \(0.886694\pi\) | |||||||
\(740\) | 21.6088 | 0.794354 | ||||||||
\(741\) | 3.08959 | + | 1.40460i | 0.113499 | + | 0.0515992i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 43.9160 | − | 25.3549i | 1.61112 | − | 0.930182i | 0.622011 | − | 0.783008i | \(-0.286316\pi\) |
0.989111 | − | 0.147173i | \(-0.0470176\pi\) | |||||||
\(744\) | −1.40271 | − | 14.4296i | −0.0514259 | − | 0.529014i | ||||
\(745\) | −2.43690 | + | 1.40695i | −0.0892813 | + | 0.0515466i | ||||
\(746\) | −22.2289 | − | 12.8339i | −0.813858 | − | 0.469881i | ||||
\(747\) | −12.1887 | + | 35.6097i | −0.445960 | + | 1.30289i | ||||
\(748\) | − | 10.0411i | − | 0.367137i | ||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −18.1466 | + | 1.76405i | −0.662621 | + | 0.0644140i | ||||
\(751\) | 16.3683 | − | 28.3508i | 0.597289 | − | 1.03454i | −0.395930 | − | 0.918281i | \(-0.629578\pi\) |
0.993219 | − | 0.116255i | \(-0.0370890\pi\) | |||||||
\(752\) | 11.8099 | 0.430662 | ||||||||
\(753\) | −4.91030 | − | 50.5118i | −0.178941 | − | 1.84075i | ||||
\(754\) | − | 7.14702i | − | 0.260279i | ||||||
\(755\) | 35.7680 | 1.30173 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −17.9255 | −0.651512 | −0.325756 | − | 0.945454i | \(-0.605619\pi\) | ||||
−0.325756 | + | 0.945454i | \(0.605619\pi\) | |||||||
\(758\) | − | 15.1045i | − | 0.548622i | ||||||
\(759\) | −3.49619 | − | 35.9650i | −0.126904 | − | 1.30545i | ||||
\(760\) | 2.67667 | 0.0970930 | ||||||||
\(761\) | −21.8509 | + | 37.8469i | −0.792096 | + | 1.37195i | 0.132571 | + | 0.991174i | \(0.457677\pi\) |
−0.924667 | + | 0.380777i | \(0.875657\pi\) | |||||||
\(762\) | −11.5101 | + | 1.11891i | −0.416966 | + | 0.0405337i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 12.3381i | 0.446376i | ||||||||
\(765\) | 8.19615 | + | 9.39388i | 0.296333 | + | 0.339637i | ||||
\(766\) | −1.32211 | − | 0.763322i | −0.0477699 | − | 0.0275800i | ||||
\(767\) | −3.32093 | + | 1.91734i | −0.119912 | + | 0.0692311i | ||||
\(768\) | −0.167584 | − | 1.72392i | −0.00604718 | − | 0.0622068i | ||||
\(769\) | 37.0864 | − | 21.4118i | 1.33737 | − | 0.772131i | 0.350953 | − | 0.936393i | \(-0.385858\pi\) |
0.986417 | + | 0.164262i | \(0.0525242\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −12.0284 | − | 5.46841i | −0.433193 | − | 0.196940i | ||||
\(772\) | −4.39388 | −0.158139 | ||||||||
\(773\) | −10.8025 | + | 18.7105i | −0.388540 | + | 0.672971i | −0.992253 | − | 0.124231i | \(-0.960354\pi\) |
0.603714 | + | 0.797201i | \(0.293687\pi\) | |||||||
\(774\) | −9.99395 | − | 3.42078i | −0.359225 | − | 0.122958i | ||||
\(775\) | 3.76562 | − | 2.17408i | 0.135265 | − | 0.0780953i | ||||
\(776\) | 2.29517 | − | 3.97536i | 0.0823919 | − | 0.142707i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −7.44483 | − | 12.8948i | −0.266910 | − | 0.462302i | ||||
\(779\) | −7.88771 | − | 4.55397i | −0.282606 | − | 0.163163i | ||||
\(780\) | 6.96559 | − | 0.677132i | 0.249408 | − | 0.0242452i | ||||
\(781\) | 12.8323 | + | 22.2262i | 0.459175 | + | 0.795315i | ||||
\(782\) | −3.25030 | − | 5.62969i | −0.116231 | − | 0.201317i | ||||
\(783\) | −4.98328 | + | 21.0103i | −0.178088 | + | 0.750847i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 20.4008 | + | 11.7784i | 0.728137 | + | 0.420390i | ||||
\(786\) | −5.35691 | + | 11.7832i | −0.191075 | + | 0.420292i | ||||
\(787\) | 51.3042i | 1.82880i | 0.404817 | + | 0.914398i | \(0.367335\pi\) | ||||
−0.404817 | + | 0.914398i | \(0.632665\pi\) | |||||||
\(788\) | 10.8865i | 0.387816i | ||||||||
\(789\) | −12.2721 | − | 17.1716i | −0.436897 | − | 0.611326i | ||||
\(790\) | 26.5077 | + | 15.3042i | 0.943102 | + | 0.544500i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 11.1962 | + | 12.8323i | 0.397838 | + | 0.455975i | ||||
\(793\) | −7.73906 | − | 13.4044i | −0.274822 | − | 0.476006i | ||||
\(794\) | −14.3935 | − | 24.9302i | −0.510805 | − | 0.884740i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −23.8733 | − | 13.7832i | −0.846166 | − | 0.488534i | ||||
\(797\) | 0.899094 | + | 1.55728i | 0.0318476 | + | 0.0551616i | 0.881510 | − | 0.472166i | \(-0.156528\pi\) |
−0.849662 | + | 0.527327i | \(0.823194\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −10.4448 | + | 18.0910i | −0.369512 | + | 0.640013i | ||||
\(800\) | 0.449885 | − | 0.259741i | 0.0159058 | − | 0.00918323i | ||||
\(801\) | 2.28997 | + | 2.62461i | 0.0809120 | + | 0.0927359i | ||||
\(802\) | −19.0868 | + | 33.0592i | −0.673977 | + | 1.16736i | ||||
\(803\) | 30.3267 | 1.07021 | ||||||||
\(804\) | 1.82185 | + | 18.7412i | 0.0642517 | + | 0.660951i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 12.4668 | − | 7.19773i | 0.439125 | − | 0.253529i | ||||
\(807\) | −4.37444 | − | 1.98873i | −0.153988 | − | 0.0700065i | ||||
\(808\) | −5.73577 | + | 3.31155i | −0.201784 | + | 0.116500i | ||||
\(809\) | 35.2371 | + | 20.3441i | 1.23887 | + | 0.715262i | 0.968863 | − | 0.247597i | \(-0.0796409\pi\) |
0.270006 | + | 0.962859i | \(0.412974\pi\) | |||||||
\(810\) | −20.9491 | − | 2.86619i | −0.736075 | − | 0.100708i | ||||
\(811\) | 0.378710i | 0.0132983i | 0.999978 | + | 0.00664916i | \(0.00211651\pi\) | ||||
−0.999978 | + | 0.00664916i | \(0.997883\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −3.23068 | − | 4.52051i | −0.113305 | − | 0.158541i | ||||
\(814\) | −26.1062 | + | 45.2173i | −0.915023 | + | 1.58487i | ||||
\(815\) | 28.1997 | 0.987793 | ||||||||
\(816\) | 2.78901 | + | 1.26795i | 0.0976348 | + | 0.0443871i | ||||
\(817\) | − | 4.01161i | − | 0.140349i | ||||||
\(818\) | 6.96694 | 0.243593 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −18.7812 | −0.655868 | ||||||||
\(821\) | − | 13.2754i | − | 0.463315i | −0.972797 | − | 0.231658i | \(-0.925585\pi\) | ||
0.972797 | − | 0.231658i | \(-0.0744149\pi\) | |||||||
\(822\) | −11.2563 | + | 8.04456i | −0.392609 | + | 0.280586i | ||||
\(823\) | 27.7422 | 0.967034 | 0.483517 | − | 0.875335i | \(-0.339359\pi\) | ||||
0.483517 | + | 0.875335i | \(0.339359\pi\) | |||||||
\(824\) | −2.92989 | + | 5.07471i | −0.102067 | + | 0.176786i | ||||
\(825\) | −2.11388 | + | 4.64974i | −0.0735959 | + | 0.161883i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 27.7183i | − | 0.963859i | −0.876210 | − | 0.481929i | \(-0.839936\pi\) | ||
0.876210 | − | 0.481929i | \(-0.160064\pi\) | |||||||
\(828\) | 10.4311 | + | 3.57043i | 0.362507 | + | 0.124081i | ||||
\(829\) | −37.0105 | − | 21.3680i | −1.28543 | − | 0.742143i | −0.307593 | − | 0.951518i | \(-0.599524\pi\) |
−0.977835 | + | 0.209375i | \(0.932857\pi\) | |||||||
\(830\) | −25.5261 | + | 14.7375i | −0.886023 | + | 0.511545i | ||||
\(831\) | −14.2060 | + | 10.1526i | −0.492799 | + | 0.352190i | ||||
\(832\) | 1.48943 | − | 0.859925i | 0.0516368 | − | 0.0298125i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −29.2552 | + | 20.9079i | −1.01303 | + | 0.723981i | ||||
\(835\) | 40.2902 | 1.39430 | ||||||||
\(836\) | −3.23377 | + | 5.60106i | −0.111842 | + | 0.193717i | ||||
\(837\) | −41.6677 | + | 12.4668i | −1.44025 | + | 0.430917i | ||||
\(838\) | −30.1778 | + | 17.4232i | −1.04248 | + | 0.601873i | ||||
\(839\) | 1.92438 | − | 3.33313i | 0.0664370 | − | 0.115072i | −0.830894 | − | 0.556431i | \(-0.812170\pi\) |
0.897331 | + | 0.441359i | \(0.145504\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −5.86545 | − | 10.1593i | −0.202257 | − | 0.350319i | ||||
\(842\) | 4.92936 | + | 2.84597i | 0.169877 | + | 0.0980785i | ||||
\(843\) | 3.49299 | − | 7.68325i | 0.120305 | − | 0.264625i | ||||
\(844\) | −5.15561 | − | 8.92978i | −0.177463 | − | 0.307376i | ||||
\(845\) | −11.7963 | − | 20.4317i | −0.405804 | − | 0.702873i | ||||
\(846\) | −6.82382 | − | 34.7663i | −0.234608 | − | 1.19529i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 4.85769 | − | 0.472221i | 0.166716 | − | 0.0162066i | ||||
\(850\) | 0.918875i | 0.0315171i | ||||||||
\(851\) | 33.8025i | 1.15874i | ||||||||
\(852\) | −7.79396 | + | 0.757659i | −0.267017 | + | 0.0259570i | ||||
\(853\) | 26.3470 | + | 15.2114i | 0.902103 | + | 0.520830i | 0.877882 | − | 0.478877i | \(-0.158956\pi\) |
0.0242213 | + | 0.999707i | \(0.492289\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −1.54660 | − | 7.87967i | −0.0528924 | − | 0.269479i | ||||
\(856\) | 2.35782 | + | 4.08386i | 0.0805885 | + | 0.139583i | ||||
\(857\) | −19.4657 | − | 33.7156i | −0.664937 | − | 1.15170i | −0.979303 | − | 0.202402i | \(-0.935125\pi\) |
0.314366 | − | 0.949302i | \(-0.398208\pi\) | |||||||
\(858\) | −6.99842 | + | 15.3939i | −0.238922 | + | 0.525538i | ||||
\(859\) | 11.5922 | + | 6.69275i | 0.395520 | + | 0.228354i | 0.684549 | − | 0.728967i | \(-0.259999\pi\) |
−0.289029 | + | 0.957320i | \(0.593332\pi\) | |||||||
\(860\) | −4.13611 | − | 7.16396i | −0.141040 | − | 0.244289i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 15.1468 | − | 26.2350i | 0.515901 | − | 0.893567i | ||||
\(863\) | 18.8118 | − | 10.8610i | 0.640360 | − | 0.369712i | −0.144393 | − | 0.989520i | \(-0.546123\pi\) |
0.784753 | + | 0.619809i | \(0.212790\pi\) | |||||||
\(864\) | −4.97811 | + | 1.48943i | −0.169359 | + | 0.0506715i | ||||
\(865\) | −2.33465 | + | 4.04373i | −0.0793804 | + | 0.137491i | ||||
\(866\) | 23.6094 | 0.802279 | ||||||||
\(867\) | 19.5469 | − | 13.9697i | 0.663849 | − | 0.474434i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −64.0496 | + | 36.9791i | −2.17273 | + | 1.25443i | ||||
\(870\) | −13.7578 | + | 9.83228i | −0.466432 | + | 0.333346i | ||||
\(871\) | −16.1920 | + | 9.34845i | −0.548645 | + | 0.316760i | ||||
\(872\) | 3.66908 | + | 2.11835i | 0.124251 | + | 0.0717363i | ||||
\(873\) | −13.0289 | − | 4.45962i | −0.440963 | − | 0.150935i | ||||
\(874\) | 4.18711i | 0.141631i | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −3.82955 | + | 8.42356i | −0.129388 | + | 0.284606i | ||||
\(877\) | −0.196152 | + | 0.339746i | −0.00662360 | + | 0.0114724i | −0.869318 | − | 0.494253i | \(-0.835442\pi\) |
0.862695 | + | 0.505725i | \(0.168775\pi\) | |||||||
\(878\) | −25.0202 | −0.844392 | ||||||||
\(879\) | 11.4338 | − | 8.17145i | 0.385654 | − | 0.275616i | ||||
\(880\) | 13.3365i | 0.449574i | ||||||||
\(881\) | −43.3363 | −1.46004 | −0.730018 | − | 0.683427i | \(-0.760489\pi\) | ||||
−0.730018 | + | 0.683427i | \(0.760489\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 2.17403 | 0.0731618 | 0.0365809 | − | 0.999331i | \(-0.488353\pi\) | ||||
0.0365809 | + | 0.999331i | \(0.488353\pi\) | |||||||
\(884\) | 3.04212i | 0.102318i | ||||||||
\(885\) | 8.25947 | + | 3.75495i | 0.277639 | + | 0.126221i | ||||
\(886\) | −23.0300 | −0.773708 | ||||||||
\(887\) | 5.72215 | − | 9.91105i | 0.192131 | − | 0.332781i | −0.753825 | − | 0.657075i | \(-0.771793\pi\) |
0.945956 | + | 0.324294i | \(0.105127\pi\) | |||||||
\(888\) | −9.26298 | − | 12.9612i | −0.310845 | − | 0.434948i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 2.72774i | 0.0914341i | ||||||||
\(891\) | 31.3069 | − | 40.3741i | 1.04882 | − | 1.35258i | ||||
\(892\) | −6.24329 | − | 3.60456i | −0.209041 | − | 0.120690i | ||||
\(893\) | 11.6526 | − | 6.72762i | 0.389939 | − | 0.225131i | ||||
\(894\) | 1.88853 | + | 0.858568i | 0.0631617 | + | 0.0287148i | ||||
\(895\) | −16.9100 | + | 9.76302i | −0.565240 | + | 0.326342i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 1.05923 | + | 10.8962i | 0.0353668 | + | 0.363815i | ||||
\(898\) | 15.9028 | 0.530684 | ||||||||
\(899\) | −17.3916 | + | 30.1232i | −0.580043 | + | 1.00466i | ||||
\(900\) | −1.02458 | − | 1.17430i | −0.0341527 | − | 0.0391435i | ||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 22.6902 | − | 39.3006i | 0.755501 | − | 1.30857i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −3.41614 | − | 5.91693i | −0.113619 | − | 0.196794i | ||||
\(905\) | −31.4430 | − | 18.1536i | −1.04520 | − | 0.603447i | ||||
\(906\) | −15.3326 | − | 21.4540i | −0.509391 | − | 0.712763i | ||||
\(907\) | 26.9446 | + | 46.6694i | 0.894680 | + | 1.54963i | 0.834200 | + | 0.551462i | \(0.185930\pi\) |
0.0604797 | + | 0.998169i | \(0.480737\pi\) | |||||||
\(908\) | 6.37800 | + | 11.0470i | 0.211661 | + | 0.366608i | ||||
\(909\) | 13.0628 | + | 14.9717i | 0.433266 | + | 0.496580i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −7.00460 | − | 4.04411i | −0.232073 | − | 0.133987i | 0.379455 | − | 0.925210i | \(-0.376111\pi\) |
−0.611528 | + | 0.791223i | \(0.709445\pi\) | |||||||
\(912\) | −1.14740 | − | 1.60550i | −0.0379943 | − | 0.0531633i | ||||
\(913\) | − | 71.2193i | − | 2.35702i | ||||||
\(914\) | − | 5.66614i | − | 0.187419i | ||||||
\(915\) | −15.1563 | + | 33.3381i | −0.501052 | + | 1.10212i | ||||
\(916\) | −3.89208 | − | 2.24709i | −0.128598 | − | 0.0742460i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 2.12112 | − | 8.94300i | 0.0700075 | − | 0.295163i | ||||
\(919\) | −12.8375 | − | 22.2353i | −0.423472 | − | 0.733474i | 0.572805 | − | 0.819692i | \(-0.305855\pi\) |
−0.996276 | + | 0.0862175i | \(0.972522\pi\) | |||||||
\(920\) | 4.31705 | + | 7.47736i | 0.142329 | + | 0.246521i | ||||
\(921\) | −18.7901 | + | 1.82661i | −0.619156 | + | 0.0601887i | ||||
\(922\) | 27.2438 | + | 15.7292i | 0.897226 | + | 0.518014i | ||||
\(923\) | −3.88777 | − | 6.73382i | −0.127968 | − | 0.221646i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.38903 | − | 4.13792i | 0.0785507 | − | 0.136054i | ||||
\(926\) | −7.88340 | + | 4.55148i | −0.259064 | + | 0.149571i | ||||
\(927\) | 16.6320 | + | 5.69289i | 0.546267 | + | 0.186979i | ||||
\(928\) | −2.07781 | + | 3.59886i | −0.0682073 | + | 0.118139i | ||||
\(929\) | 10.8524 | 0.356055 | 0.178027 | − | 0.984026i | \(-0.443028\pi\) | ||||
0.178027 | + | 0.984026i | \(0.443028\pi\) | |||||||
\(930\) | −31.0062 | − | 14.0961i | −1.01673 | − | 0.462231i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 1.86545 | − | 1.07702i | 0.0611048 | − | 0.0352789i | ||||
\(933\) | −1.38029 | − | 14.1989i | −0.0451886 | − | 0.464851i | ||||
\(934\) | 26.2433 | − | 15.1516i | 0.858708 | − | 0.495775i | ||||
\(935\) | −20.4296 | − | 11.7950i | −0.668118 | − | 0.385738i | ||||
\(936\) | −3.39208 | − | 3.88777i | −0.110873 | − | 0.127076i | ||||
\(937\) | 0.458120i | 0.0149661i | 0.999972 | + | 0.00748306i | \(0.00238195\pi\) | ||||
−0.999972 | + | 0.00748306i | \(0.997618\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −58.2725 | + | 5.66473i | −1.90165 | + | 0.184861i | ||||
\(940\) | 13.8728 | − | 24.0284i | 0.452482 | − | 0.783721i | ||||
\(941\) | −7.37780 | −0.240510 | −0.120255 | − | 0.992743i | \(-0.538371\pi\) | ||||
−0.120255 | + | 0.992743i | \(0.538371\pi\) | |||||||
\(942\) | −1.68036 | − | 17.2857i | −0.0547490 | − | 0.563198i | ||||
\(943\) | − | 29.3794i | − | 0.956725i | ||||||
\(944\) | 2.22966 | 0.0725693 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 19.9879 | 0.649862 | ||||||||
\(947\) | 11.9910i | 0.389657i | 0.980837 | + | 0.194828i | \(0.0624150\pi\) | ||||
−0.980837 | + | 0.194828i | \(0.937585\pi\) | |||||||
\(948\) | −2.18336 | − | 22.4600i | −0.0709123 | − | 0.729468i | ||||
\(949\) | −9.18802 | −0.298256 | ||||||||
\(950\) | 0.295928 | − | 0.512563i | 0.00960118 | − | 0.0166297i | ||||
\(951\) | −11.6036 | + | 1.12799i | −0.376271 | + | 0.0365777i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 58.6883i | − | 1.90110i | −0.310572 | − | 0.950550i | \(-0.600521\pi\) | ||
0.310572 | − | 0.950550i | \(-0.399479\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 25.1031 | + | 14.4933i | 0.812317 | + | 0.468992i | ||||
\(956\) | 8.78317 | − | 5.07096i | 0.284068 | − | 0.164007i | ||||
\(957\) | −3.95332 | − | 40.6674i | −0.127793 | − | 1.31459i | ||||
\(958\) | −4.03816 | + | 2.33143i | −0.130467 | + | 0.0753251i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −3.70436 | − | 1.68409i | −0.119558 | − | 0.0543538i | ||||
\(961\) | −39.0600 | −1.26000 | ||||||||
\(962\) | 7.90935 | − | 13.6994i | 0.255008 | − | 0.441686i | ||||
\(963\) | 10.6598 | − | 9.30069i | 0.343508 | − | 0.299711i | ||||
\(964\) | −9.13490 | + | 5.27404i | −0.294215 | + | 0.169865i | ||||
\(965\) | −5.16140 | + | 8.93981i | −0.166151 | + | 0.287783i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −3.37560 | − | 5.84671i | −0.108552 | − | 0.188018i | 0.806632 | − | 0.591054i | \(-0.201288\pi\) |
−0.915184 | + | 0.403037i | \(0.867955\pi\) | |||||||
\(968\) | −18.3810 | − | 10.6123i | −0.590789 | − | 0.341092i | ||||
\(969\) | 3.47416 | − | 0.337726i | 0.111606 | − | 0.0108493i | ||||
\(970\) | −5.39218 | − | 9.33953i | −0.173133 | − | 0.299874i | ||||
\(971\) | −3.20362 | − | 5.54883i | −0.102809 | − | 0.178070i | 0.810032 | − | 0.586386i | \(-0.199450\pi\) |
−0.912841 | + | 0.408315i | \(0.866116\pi\) | |||||||
\(972\) | 7.26102 | + | 13.7941i | 0.232897 | + | 0.442446i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 16.8720 | + | 9.74105i | 0.540613 | + | 0.312123i | ||||
\(975\) | 0.640438 | − | 1.40872i | 0.0205104 | − | 0.0451152i | ||||
\(976\) | 8.99970i | 0.288073i | ||||||||
\(977\) | 13.5987i | 0.435062i | 0.976053 | + | 0.217531i | \(0.0698004\pi\) | ||||
−0.976053 | + | 0.217531i | \(0.930200\pi\) | |||||||
\(978\) | −12.0883 | − | 16.9145i | −0.386542 | − | 0.540866i | ||||
\(979\) | −5.70793 | − | 3.29547i | −0.182426 | − | 0.105324i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 4.11604 | − | 12.0252i | 0.131415 | − | 0.383934i | ||||
\(982\) | −10.2443 | − | 17.7437i | −0.326910 | − | 0.566224i | ||||
\(983\) | −11.3849 | − | 19.7192i | −0.363122 | − | 0.628946i | 0.625351 | − | 0.780344i | \(-0.284956\pi\) |
−0.988473 | + | 0.151398i | \(0.951623\pi\) | |||||||
\(984\) | 8.05090 | + | 11.2652i | 0.256653 | + | 0.359121i | ||||
\(985\) | 22.1497 | + | 12.7882i | 0.705749 | + | 0.407464i | ||||
\(986\) | −3.67528 | − | 6.36577i | −0.117045 | − | 0.202728i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.979729 | − | 1.69694i | 0.0311693 | − | 0.0539869i | ||||
\(989\) | 11.2066 | − | 6.47011i | 0.356348 | − | 0.205738i | ||||
\(990\) | 39.2605 | − | 7.70592i | 1.24778 | − | 0.244910i | ||||
\(991\) | 13.4953 | − | 23.3745i | 0.428691 | − | 0.742515i | −0.568066 | − | 0.822983i | \(-0.692308\pi\) |
0.996757 | + | 0.0804680i | \(0.0256415\pi\) | |||||||
\(992\) | −8.37019 | −0.265754 | ||||||||
\(993\) | 5.37223 | + | 55.2636i | 0.170483 | + | 1.75374i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −56.0869 | + | 32.3818i | −1.77807 | + | 1.02657i | ||||
\(996\) | 19.7819 | + | 8.99332i | 0.626814 | + | 0.284964i | ||||
\(997\) | −16.7263 | + | 9.65694i | −0.529728 | + | 0.305838i | −0.740906 | − | 0.671609i | \(-0.765603\pi\) |
0.211178 | + | 0.977448i | \(0.432270\pi\) | |||||||
\(998\) | 8.87845 | + | 5.12598i | 0.281043 | + | 0.162260i | ||||
\(999\) | −32.8033 | + | 34.7577i | −1.03785 | + | 1.09968i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))