Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1950,2,Mod(1699,1950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1950, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 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("1950.1699");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1950 = 2 \cdot 3 \cdot 5^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1950.z (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: | \(15.5708283941\) |
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 78) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 1849.2 | ||
Root | \(0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1950.1849 |
Dual form | 1950.2.z.g.1699.2 |
$q$-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 \(\left(\mathbb{Z}/1950\mathbb{Z}\right)^\times\).
\(n\) | \(301\) | \(1301\) | \(1327\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(-1\) |
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 | ||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.500000 | − | 0.866025i | 0.204124 | − | 0.353553i | ||||
\(7\) | 1.73205 | + | 1.00000i | 0.654654 | + | 0.377964i | 0.790237 | − | 0.612801i | \(-0.209957\pi\) |
−0.135583 | + | 0.990766i | \(0.543291\pi\) | |||||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 0.500000 | − | 0.866025i | 0.166667 | − | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.00000 | − | 5.19615i | −0.904534 | − | 1.56670i | −0.821541 | − | 0.570149i | \(-0.806886\pi\) |
−0.0829925 | − | 0.996550i | \(-0.526448\pi\) | |||||||
\(12\) | − | 1.00000i | − | 0.288675i | ||||||
\(13\) | −0.866025 | − | 3.50000i | −0.240192 | − | 0.970725i | ||||
\(14\) | 2.00000 | 0.534522 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −2.59808 | − | 1.50000i | −0.630126 | − | 0.363803i | 0.150675 | − | 0.988583i | \(-0.451855\pi\) |
−0.780801 | + | 0.624780i | \(0.785189\pi\) | |||||||
\(18\) | − | 1.00000i | − | 0.235702i | ||||||
\(19\) | 1.00000 | − | 1.73205i | 0.229416 | − | 0.397360i | −0.728219 | − | 0.685344i | \(-0.759652\pi\) |
0.957635 | + | 0.287984i | \(0.0929851\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.00000 | 0.436436 | ||||||||
\(22\) | −5.19615 | − | 3.00000i | −1.10782 | − | 0.639602i | ||||
\(23\) | −5.19615 | + | 3.00000i | −1.08347 | + | 0.625543i | −0.931831 | − | 0.362892i | \(-0.881789\pi\) |
−0.151642 | + | 0.988436i | \(0.548456\pi\) | |||||||
\(24\) | −0.500000 | − | 0.866025i | −0.102062 | − | 0.176777i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −2.50000 | − | 2.59808i | −0.490290 | − | 0.509525i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | 1.73205 | − | 1.00000i | 0.327327 | − | 0.188982i | ||||
\(29\) | 1.50000 | + | 2.59808i | 0.278543 | + | 0.482451i | 0.971023 | − | 0.238987i | \(-0.0768152\pi\) |
−0.692480 | + | 0.721437i | \(0.743482\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.00000 | −0.718421 | −0.359211 | − | 0.933257i | \(-0.616954\pi\) | ||||
−0.359211 | + | 0.933257i | \(0.616954\pi\) | |||||||
\(32\) | −0.866025 | − | 0.500000i | −0.153093 | − | 0.0883883i | ||||
\(33\) | −5.19615 | − | 3.00000i | −0.904534 | − | 0.522233i | ||||
\(34\) | −3.00000 | −0.514496 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.500000 | − | 0.866025i | −0.0833333 | − | 0.144338i | ||||
\(37\) | 6.06218 | − | 3.50000i | 0.996616 | − | 0.575396i | 0.0893706 | − | 0.995998i | \(-0.471514\pi\) |
0.907245 | + | 0.420602i | \(0.138181\pi\) | |||||||
\(38\) | − | 2.00000i | − | 0.324443i | ||||||
\(39\) | −2.50000 | − | 2.59808i | −0.400320 | − | 0.416025i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.50000 | + | 2.59808i | 0.234261 | + | 0.405751i | 0.959058 | − | 0.283211i | \(-0.0913998\pi\) |
−0.724797 | + | 0.688963i | \(0.758066\pi\) | |||||||
\(42\) | 1.73205 | − | 1.00000i | 0.267261 | − | 0.154303i | ||||
\(43\) | 8.66025 | + | 5.00000i | 1.32068 | + | 0.762493i | 0.983836 | − | 0.179069i | \(-0.0573086\pi\) |
0.336840 | + | 0.941562i | \(0.390642\pi\) | |||||||
\(44\) | −6.00000 | −0.904534 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.00000 | + | 5.19615i | −0.442326 | + | 0.766131i | ||||
\(47\) | − | 6.00000i | − | 0.875190i | −0.899172 | − | 0.437595i | \(-0.855830\pi\) | ||
0.899172 | − | 0.437595i | \(-0.144170\pi\) | |||||||
\(48\) | −0.866025 | − | 0.500000i | −0.125000 | − | 0.0721688i | ||||
\(49\) | −1.50000 | − | 2.59808i | −0.214286 | − | 0.371154i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −3.00000 | −0.420084 | ||||||||
\(52\) | −3.46410 | − | 1.00000i | −0.480384 | − | 0.138675i | ||||
\(53\) | 3.00000i | 0.412082i | 0.978543 | + | 0.206041i | \(0.0660580\pi\) | ||||
−0.978543 | + | 0.206041i | \(0.933942\pi\) | |||||||
\(54\) | −0.500000 | − | 0.866025i | −0.0680414 | − | 0.117851i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 1.00000 | − | 1.73205i | 0.133631 | − | 0.231455i | ||||
\(57\) | − | 2.00000i | − | 0.264906i | ||||||
\(58\) | 2.59808 | + | 1.50000i | 0.341144 | + | 0.196960i | ||||
\(59\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.50000 | − | 6.06218i | 0.448129 | − | 0.776182i | −0.550135 | − | 0.835076i | \(-0.685424\pi\) |
0.998264 | + | 0.0588933i | \(0.0187572\pi\) | |||||||
\(62\) | −3.46410 | + | 2.00000i | −0.439941 | + | 0.254000i | ||||
\(63\) | 1.73205 | − | 1.00000i | 0.218218 | − | 0.125988i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −6.00000 | −0.738549 | ||||||||
\(67\) | 8.66025 | − | 5.00000i | 1.05802 | − | 0.610847i | 0.133135 | − | 0.991098i | \(-0.457496\pi\) |
0.924883 | + | 0.380251i | \(0.124162\pi\) | |||||||
\(68\) | −2.59808 | + | 1.50000i | −0.315063 | + | 0.181902i | ||||
\(69\) | −3.00000 | + | 5.19615i | −0.361158 | + | 0.625543i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.00000 | + | 5.19615i | −0.356034 | + | 0.616670i | −0.987294 | − | 0.158901i | \(-0.949205\pi\) |
0.631260 | + | 0.775571i | \(0.282538\pi\) | |||||||
\(72\) | −0.866025 | − | 0.500000i | −0.102062 | − | 0.0589256i | ||||
\(73\) | − | 13.0000i | − | 1.52153i | −0.649025 | − | 0.760767i | \(-0.724823\pi\) | ||
0.649025 | − | 0.760767i | \(-0.275177\pi\) | |||||||
\(74\) | 3.50000 | − | 6.06218i | 0.406867 | − | 0.704714i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.00000 | − | 1.73205i | −0.114708 | − | 0.198680i | ||||
\(77\) | − | 12.0000i | − | 1.36753i | ||||||
\(78\) | −3.46410 | − | 1.00000i | −0.392232 | − | 0.113228i | ||||
\(79\) | 4.00000 | 0.450035 | 0.225018 | − | 0.974355i | \(-0.427756\pi\) | ||||
0.225018 | + | 0.974355i | \(0.427756\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 2.59808 | + | 1.50000i | 0.286910 | + | 0.165647i | ||||
\(83\) | − | 6.00000i | − | 0.658586i | −0.944228 | − | 0.329293i | \(-0.893190\pi\) | ||
0.944228 | − | 0.329293i | \(-0.106810\pi\) | |||||||
\(84\) | 1.00000 | − | 1.73205i | 0.109109 | − | 0.188982i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 10.0000 | 1.07833 | ||||||||
\(87\) | 2.59808 | + | 1.50000i | 0.278543 | + | 0.160817i | ||||
\(88\) | −5.19615 | + | 3.00000i | −0.553912 | + | 0.319801i | ||||
\(89\) | 9.00000 | + | 15.5885i | 0.953998 | + | 1.65237i | 0.736644 | + | 0.676280i | \(0.236409\pi\) |
0.217354 | + | 0.976093i | \(0.430258\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.00000 | − | 6.92820i | 0.209657 | − | 0.726273i | ||||
\(92\) | 6.00000i | 0.625543i | ||||||||
\(93\) | −3.46410 | + | 2.00000i | −0.359211 | + | 0.207390i | ||||
\(94\) | −3.00000 | − | 5.19615i | −0.309426 | − | 0.535942i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −1.00000 | −0.102062 | ||||||||
\(97\) | 12.1244 | + | 7.00000i | 1.23104 | + | 0.710742i | 0.967247 | − | 0.253837i | \(-0.0816925\pi\) |
0.263795 | + | 0.964579i | \(0.415026\pi\) | |||||||
\(98\) | −2.59808 | − | 1.50000i | −0.262445 | − | 0.151523i | ||||
\(99\) | −6.00000 | −0.603023 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −7.50000 | − | 12.9904i | −0.746278 | − | 1.29259i | −0.949595 | − | 0.313478i | \(-0.898506\pi\) |
0.203317 | − | 0.979113i | \(-0.434828\pi\) | |||||||
\(102\) | −2.59808 | + | 1.50000i | −0.257248 | + | 0.148522i | ||||
\(103\) | 14.0000i | 1.37946i | 0.724066 | + | 0.689730i | \(0.242271\pi\) | ||||
−0.724066 | + | 0.689730i | \(0.757729\pi\) | |||||||
\(104\) | −3.50000 | + | 0.866025i | −0.343203 | + | 0.0849208i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.50000 | + | 2.59808i | 0.145693 | + | 0.252347i | ||||
\(107\) | 5.19615 | − | 3.00000i | 0.502331 | − | 0.290021i | −0.227345 | − | 0.973814i | \(-0.573004\pi\) |
0.729676 | + | 0.683793i | \(0.239671\pi\) | |||||||
\(108\) | −0.866025 | − | 0.500000i | −0.0833333 | − | 0.0481125i | ||||
\(109\) | −14.0000 | −1.34096 | −0.670478 | − | 0.741929i | \(-0.733911\pi\) | ||||
−0.670478 | + | 0.741929i | \(0.733911\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 3.50000 | − | 6.06218i | 0.332205 | − | 0.575396i | ||||
\(112\) | − | 2.00000i | − | 0.188982i | ||||||
\(113\) | 2.59808 | + | 1.50000i | 0.244406 | + | 0.141108i | 0.617200 | − | 0.786806i | \(-0.288267\pi\) |
−0.372794 | + | 0.927914i | \(0.621600\pi\) | |||||||
\(114\) | −1.00000 | − | 1.73205i | −0.0936586 | − | 0.162221i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 3.00000 | 0.278543 | ||||||||
\(117\) | −3.46410 | − | 1.00000i | −0.320256 | − | 0.0924500i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −3.00000 | − | 5.19615i | −0.275010 | − | 0.476331i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −12.5000 | + | 21.6506i | −1.13636 | + | 1.96824i | ||||
\(122\) | − | 7.00000i | − | 0.633750i | ||||||
\(123\) | 2.59808 | + | 1.50000i | 0.234261 | + | 0.135250i | ||||
\(124\) | −2.00000 | + | 3.46410i | −0.179605 | + | 0.311086i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 1.00000 | − | 1.73205i | 0.0890871 | − | 0.154303i | ||||
\(127\) | 3.46410 | − | 2.00000i | 0.307389 | − | 0.177471i | −0.338368 | − | 0.941014i | \(-0.609875\pi\) |
0.645758 | + | 0.763542i | \(0.276542\pi\) | |||||||
\(128\) | −0.866025 | + | 0.500000i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | 10.0000 | 0.880451 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(132\) | −5.19615 | + | 3.00000i | −0.452267 | + | 0.261116i | ||||
\(133\) | 3.46410 | − | 2.00000i | 0.300376 | − | 0.173422i | ||||
\(134\) | 5.00000 | − | 8.66025i | 0.431934 | − | 0.748132i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.50000 | + | 2.59808i | −0.128624 | + | 0.222783i | ||||
\(137\) | 7.79423 | + | 4.50000i | 0.665906 | + | 0.384461i | 0.794524 | − | 0.607233i | \(-0.207721\pi\) |
−0.128618 | + | 0.991694i | \(0.541054\pi\) | |||||||
\(138\) | 6.00000i | 0.510754i | ||||||||
\(139\) | −2.00000 | + | 3.46410i | −0.169638 | + | 0.293821i | −0.938293 | − | 0.345843i | \(-0.887593\pi\) |
0.768655 | + | 0.639664i | \(0.220926\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3.00000 | − | 5.19615i | −0.252646 | − | 0.437595i | ||||
\(142\) | 6.00000i | 0.503509i | ||||||||
\(143\) | −15.5885 | + | 15.0000i | −1.30357 | + | 1.25436i | ||||
\(144\) | −1.00000 | −0.0833333 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −6.50000 | − | 11.2583i | −0.537944 | − | 0.931746i | ||||
\(147\) | −2.59808 | − | 1.50000i | −0.214286 | − | 0.123718i | ||||
\(148\) | − | 7.00000i | − | 0.575396i | ||||||
\(149\) | −4.50000 | + | 7.79423i | −0.368654 | + | 0.638528i | −0.989355 | − | 0.145519i | \(-0.953515\pi\) |
0.620701 | + | 0.784047i | \(0.286848\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −10.0000 | −0.813788 | −0.406894 | − | 0.913475i | \(-0.633388\pi\) | ||||
−0.406894 | + | 0.913475i | \(0.633388\pi\) | |||||||
\(152\) | −1.73205 | − | 1.00000i | −0.140488 | − | 0.0811107i | ||||
\(153\) | −2.59808 | + | 1.50000i | −0.210042 | + | 0.121268i | ||||
\(154\) | −6.00000 | − | 10.3923i | −0.483494 | − | 0.837436i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −3.50000 | + | 0.866025i | −0.280224 | + | 0.0693375i | ||||
\(157\) | − | 5.00000i | − | 0.399043i | −0.979893 | − | 0.199522i | \(-0.936061\pi\) | ||
0.979893 | − | 0.199522i | \(-0.0639388\pi\) | |||||||
\(158\) | 3.46410 | − | 2.00000i | 0.275589 | − | 0.159111i | ||||
\(159\) | 1.50000 | + | 2.59808i | 0.118958 | + | 0.206041i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −12.0000 | −0.945732 | ||||||||
\(162\) | −0.866025 | − | 0.500000i | −0.0680414 | − | 0.0392837i | ||||
\(163\) | 3.46410 | + | 2.00000i | 0.271329 | + | 0.156652i | 0.629492 | − | 0.777007i | \(-0.283263\pi\) |
−0.358162 | + | 0.933659i | \(0.616597\pi\) | |||||||
\(164\) | 3.00000 | 0.234261 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −3.00000 | − | 5.19615i | −0.232845 | − | 0.403300i | ||||
\(167\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(168\) | − | 2.00000i | − | 0.154303i | ||||||
\(169\) | −11.5000 | + | 6.06218i | −0.884615 | + | 0.466321i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −1.00000 | − | 1.73205i | −0.0764719 | − | 0.132453i | ||||
\(172\) | 8.66025 | − | 5.00000i | 0.660338 | − | 0.381246i | ||||
\(173\) | 5.19615 | + | 3.00000i | 0.395056 | + | 0.228086i | 0.684349 | − | 0.729155i | \(-0.260087\pi\) |
−0.289292 | + | 0.957241i | \(0.593420\pi\) | |||||||
\(174\) | 3.00000 | 0.227429 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −3.00000 | + | 5.19615i | −0.226134 | + | 0.391675i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 15.5885 | + | 9.00000i | 1.16840 | + | 0.674579i | ||||
\(179\) | 3.00000 | + | 5.19615i | 0.224231 | + | 0.388379i | 0.956088 | − | 0.293079i | \(-0.0946798\pi\) |
−0.731858 | + | 0.681457i | \(0.761346\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −7.00000 | −0.520306 | −0.260153 | − | 0.965567i | \(-0.583773\pi\) | ||||
−0.260153 | + | 0.965567i | \(0.583773\pi\) | |||||||
\(182\) | −1.73205 | − | 7.00000i | −0.128388 | − | 0.518875i | ||||
\(183\) | − | 7.00000i | − | 0.517455i | ||||||
\(184\) | 3.00000 | + | 5.19615i | 0.221163 | + | 0.383065i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −2.00000 | + | 3.46410i | −0.146647 | + | 0.254000i | ||||
\(187\) | 18.0000i | 1.31629i | ||||||||
\(188\) | −5.19615 | − | 3.00000i | −0.378968 | − | 0.218797i | ||||
\(189\) | 1.00000 | − | 1.73205i | 0.0727393 | − | 0.125988i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 6.00000 | − | 10.3923i | 0.434145 | − | 0.751961i | −0.563081 | − | 0.826402i | \(-0.690384\pi\) |
0.997225 | + | 0.0744412i | \(0.0237173\pi\) | |||||||
\(192\) | −0.866025 | + | 0.500000i | −0.0625000 | + | 0.0360844i | ||||
\(193\) | 19.9186 | − | 11.5000i | 1.43377 | − | 0.827788i | 0.436365 | − | 0.899770i | \(-0.356266\pi\) |
0.997406 | + | 0.0719816i | \(0.0229323\pi\) | |||||||
\(194\) | 14.0000 | 1.00514 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −3.00000 | −0.214286 | ||||||||
\(197\) | −5.19615 | + | 3.00000i | −0.370211 | + | 0.213741i | −0.673550 | − | 0.739141i | \(-0.735232\pi\) |
0.303340 | + | 0.952882i | \(0.401898\pi\) | |||||||
\(198\) | −5.19615 | + | 3.00000i | −0.369274 | + | 0.213201i | ||||
\(199\) | −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 | ||||||||
\(201\) | 5.00000 | − | 8.66025i | 0.352673 | − | 0.610847i | ||||
\(202\) | −12.9904 | − | 7.50000i | −0.914000 | − | 0.527698i | ||||
\(203\) | 6.00000i | 0.421117i | ||||||||
\(204\) | −1.50000 | + | 2.59808i | −0.105021 | + | 0.181902i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 7.00000 | + | 12.1244i | 0.487713 | + | 0.844744i | ||||
\(207\) | 6.00000i | 0.417029i | ||||||||
\(208\) | −2.59808 | + | 2.50000i | −0.180144 | + | 0.173344i | ||||
\(209\) | −12.0000 | −0.830057 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 8.00000 | + | 13.8564i | 0.550743 | + | 0.953914i | 0.998221 | + | 0.0596196i | \(0.0189888\pi\) |
−0.447478 | + | 0.894295i | \(0.647678\pi\) | |||||||
\(212\) | 2.59808 | + | 1.50000i | 0.178437 | + | 0.103020i | ||||
\(213\) | 6.00000i | 0.411113i | ||||||||
\(214\) | 3.00000 | − | 5.19615i | 0.205076 | − | 0.355202i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −1.00000 | −0.0680414 | ||||||||
\(217\) | −6.92820 | − | 4.00000i | −0.470317 | − | 0.271538i | ||||
\(218\) | −12.1244 | + | 7.00000i | −0.821165 | + | 0.474100i | ||||
\(219\) | −6.50000 | − | 11.2583i | −0.439229 | − | 0.760767i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −3.00000 | + | 10.3923i | −0.201802 | + | 0.699062i | ||||
\(222\) | − | 7.00000i | − | 0.469809i | ||||||
\(223\) | 6.92820 | − | 4.00000i | 0.463947 | − | 0.267860i | −0.249756 | − | 0.968309i | \(-0.580350\pi\) |
0.713702 | + | 0.700449i | \(0.247017\pi\) | |||||||
\(224\) | −1.00000 | − | 1.73205i | −0.0668153 | − | 0.115728i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 3.00000 | 0.199557 | ||||||||
\(227\) | 15.5885 | + | 9.00000i | 1.03464 | + | 0.597351i | 0.918311 | − | 0.395860i | \(-0.129553\pi\) |
0.116331 | + | 0.993210i | \(0.462887\pi\) | |||||||
\(228\) | −1.73205 | − | 1.00000i | −0.114708 | − | 0.0662266i | ||||
\(229\) | 22.0000 | 1.45380 | 0.726900 | − | 0.686743i | \(-0.240960\pi\) | ||||
0.726900 | + | 0.686743i | \(0.240960\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −6.00000 | − | 10.3923i | −0.394771 | − | 0.683763i | ||||
\(232\) | 2.59808 | − | 1.50000i | 0.170572 | − | 0.0984798i | ||||
\(233\) | − | 6.00000i | − | 0.393073i | −0.980497 | − | 0.196537i | \(-0.937031\pi\) | ||
0.980497 | − | 0.196537i | \(-0.0629694\pi\) | |||||||
\(234\) | −3.50000 | + | 0.866025i | −0.228802 | + | 0.0566139i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 3.46410 | − | 2.00000i | 0.225018 | − | 0.129914i | ||||
\(238\) | −5.19615 | − | 3.00000i | −0.336817 | − | 0.194461i | ||||
\(239\) | −6.00000 | −0.388108 | −0.194054 | − | 0.980991i | \(-0.562164\pi\) | ||||
−0.194054 | + | 0.980991i | \(0.562164\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.500000 | − | 0.866025i | 0.0322078 | − | 0.0557856i | −0.849472 | − | 0.527633i | \(-0.823079\pi\) |
0.881680 | + | 0.471848i | \(0.156413\pi\) | |||||||
\(242\) | 25.0000i | 1.60706i | ||||||||
\(243\) | −0.866025 | − | 0.500000i | −0.0555556 | − | 0.0320750i | ||||
\(244\) | −3.50000 | − | 6.06218i | −0.224065 | − | 0.388091i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 3.00000 | 0.191273 | ||||||||
\(247\) | −6.92820 | − | 2.00000i | −0.440831 | − | 0.127257i | ||||
\(248\) | 4.00000i | 0.254000i | ||||||||
\(249\) | −3.00000 | − | 5.19615i | −0.190117 | − | 0.329293i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 6.00000 | − | 10.3923i | 0.378717 | − | 0.655956i | −0.612159 | − | 0.790735i | \(-0.709699\pi\) |
0.990876 | + | 0.134778i | \(0.0430322\pi\) | |||||||
\(252\) | − | 2.00000i | − | 0.125988i | ||||||
\(253\) | 31.1769 | + | 18.0000i | 1.96008 | + | 1.13165i | ||||
\(254\) | 2.00000 | − | 3.46410i | 0.125491 | − | 0.217357i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 2.59808 | − | 1.50000i | 0.162064 | − | 0.0935674i | −0.416775 | − | 0.909010i | \(-0.636840\pi\) |
0.578838 | + | 0.815442i | \(0.303506\pi\) | |||||||
\(258\) | 8.66025 | − | 5.00000i | 0.539164 | − | 0.311286i | ||||
\(259\) | 14.0000 | 0.869918 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 3.00000 | 0.185695 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −5.19615 | + | 3.00000i | −0.320408 | + | 0.184988i | −0.651575 | − | 0.758585i | \(-0.725891\pi\) |
0.331166 | + | 0.943572i | \(0.392558\pi\) | |||||||
\(264\) | −3.00000 | + | 5.19615i | −0.184637 | + | 0.319801i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 2.00000 | − | 3.46410i | 0.122628 | − | 0.212398i | ||||
\(267\) | 15.5885 | + | 9.00000i | 0.953998 | + | 0.550791i | ||||
\(268\) | − | 10.0000i | − | 0.610847i | ||||||
\(269\) | 9.00000 | − | 15.5885i | 0.548740 | − | 0.950445i | −0.449622 | − | 0.893219i | \(-0.648441\pi\) |
0.998361 | − | 0.0572259i | \(-0.0182255\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 8.00000 | + | 13.8564i | 0.485965 | + | 0.841717i | 0.999870 | − | 0.0161307i | \(-0.00513477\pi\) |
−0.513905 | + | 0.857847i | \(0.671801\pi\) | |||||||
\(272\) | 3.00000i | 0.181902i | ||||||||
\(273\) | −1.73205 | − | 7.00000i | −0.104828 | − | 0.423659i | ||||
\(274\) | 9.00000 | 0.543710 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 3.00000 | + | 5.19615i | 0.180579 | + | 0.312772i | ||||
\(277\) | 14.7224 | + | 8.50000i | 0.884585 | + | 0.510716i | 0.872167 | − | 0.489207i | \(-0.162714\pi\) |
0.0124177 | + | 0.999923i | \(0.496047\pi\) | |||||||
\(278\) | 4.00000i | 0.239904i | ||||||||
\(279\) | −2.00000 | + | 3.46410i | −0.119737 | + | 0.207390i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 9.00000 | 0.536895 | 0.268447 | − | 0.963294i | \(-0.413489\pi\) | ||||
0.268447 | + | 0.963294i | \(0.413489\pi\) | |||||||
\(282\) | −5.19615 | − | 3.00000i | −0.309426 | − | 0.178647i | ||||
\(283\) | 12.1244 | − | 7.00000i | 0.720718 | − | 0.416107i | −0.0942988 | − | 0.995544i | \(-0.530061\pi\) |
0.815017 | + | 0.579437i | \(0.196728\pi\) | |||||||
\(284\) | 3.00000 | + | 5.19615i | 0.178017 | + | 0.308335i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −6.00000 | + | 20.7846i | −0.354787 | + | 1.22902i | ||||
\(287\) | 6.00000i | 0.354169i | ||||||||
\(288\) | −0.866025 | + | 0.500000i | −0.0510310 | + | 0.0294628i | ||||
\(289\) | −4.00000 | − | 6.92820i | −0.235294 | − | 0.407541i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 14.0000 | 0.820695 | ||||||||
\(292\) | −11.2583 | − | 6.50000i | −0.658844 | − | 0.380384i | ||||
\(293\) | 18.1865 | + | 10.5000i | 1.06247 | + | 0.613417i | 0.926114 | − | 0.377244i | \(-0.123128\pi\) |
0.136355 | + | 0.990660i | \(0.456461\pi\) | |||||||
\(294\) | −3.00000 | −0.174964 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −3.50000 | − | 6.06218i | −0.203433 | − | 0.352357i | ||||
\(297\) | −5.19615 | + | 3.00000i | −0.301511 | + | 0.174078i | ||||
\(298\) | 9.00000i | 0.521356i | ||||||||
\(299\) | 15.0000 | + | 15.5885i | 0.867472 | + | 0.901504i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 10.0000 | + | 17.3205i | 0.576390 | + | 0.998337i | ||||
\(302\) | −8.66025 | + | 5.00000i | −0.498342 | + | 0.287718i | ||||
\(303\) | −12.9904 | − | 7.50000i | −0.746278 | − | 0.430864i | ||||
\(304\) | −2.00000 | −0.114708 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −1.50000 | + | 2.59808i | −0.0857493 | + | 0.148522i | ||||
\(307\) | 10.0000i | 0.570730i | 0.958419 | + | 0.285365i | \(0.0921148\pi\) | ||||
−0.958419 | + | 0.285365i | \(0.907885\pi\) | |||||||
\(308\) | −10.3923 | − | 6.00000i | −0.592157 | − | 0.341882i | ||||
\(309\) | 7.00000 | + | 12.1244i | 0.398216 | + | 0.689730i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −30.0000 | −1.70114 | −0.850572 | − | 0.525859i | \(-0.823744\pi\) | ||||
−0.850572 | + | 0.525859i | \(0.823744\pi\) | |||||||
\(312\) | −2.59808 | + | 2.50000i | −0.147087 | + | 0.141535i | ||||
\(313\) | − | 10.0000i | − | 0.565233i | −0.959233 | − | 0.282617i | \(-0.908798\pi\) | ||
0.959233 | − | 0.282617i | \(-0.0912024\pi\) | |||||||
\(314\) | −2.50000 | − | 4.33013i | −0.141083 | − | 0.244363i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.00000 | − | 3.46410i | 0.112509 | − | 0.194871i | ||||
\(317\) | − | 3.00000i | − | 0.168497i | −0.996445 | − | 0.0842484i | \(-0.973151\pi\) | ||
0.996445 | − | 0.0842484i | \(-0.0268489\pi\) | |||||||
\(318\) | 2.59808 | + | 1.50000i | 0.145693 | + | 0.0841158i | ||||
\(319\) | 9.00000 | − | 15.5885i | 0.503903 | − | 0.872786i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 3.00000 | − | 5.19615i | 0.167444 | − | 0.290021i | ||||
\(322\) | −10.3923 | + | 6.00000i | −0.579141 | + | 0.334367i | ||||
\(323\) | −5.19615 | + | 3.00000i | −0.289122 | + | 0.166924i | ||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 4.00000 | 0.221540 | ||||||||
\(327\) | −12.1244 | + | 7.00000i | −0.670478 | + | 0.387101i | ||||
\(328\) | 2.59808 | − | 1.50000i | 0.143455 | − | 0.0828236i | ||||
\(329\) | 6.00000 | − | 10.3923i | 0.330791 | − | 0.572946i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.00000 | − | 3.46410i | 0.109930 | − | 0.190404i | −0.805812 | − | 0.592172i | \(-0.798271\pi\) |
0.915742 | + | 0.401768i | \(0.131604\pi\) | |||||||
\(332\) | −5.19615 | − | 3.00000i | −0.285176 | − | 0.164646i | ||||
\(333\) | − | 7.00000i | − | 0.383598i | ||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −1.00000 | − | 1.73205i | −0.0545545 | − | 0.0944911i | ||||
\(337\) | − | 23.0000i | − | 1.25289i | −0.779466 | − | 0.626445i | \(-0.784509\pi\) | ||
0.779466 | − | 0.626445i | \(-0.215491\pi\) | |||||||
\(338\) | −6.92820 | + | 11.0000i | −0.376845 | + | 0.598321i | ||||
\(339\) | 3.00000 | 0.162938 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 12.0000 | + | 20.7846i | 0.649836 | + | 1.12555i | ||||
\(342\) | −1.73205 | − | 1.00000i | −0.0936586 | − | 0.0540738i | ||||
\(343\) | − | 20.0000i | − | 1.07990i | ||||||
\(344\) | 5.00000 | − | 8.66025i | 0.269582 | − | 0.466930i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 6.00000 | 0.322562 | ||||||||
\(347\) | −25.9808 | − | 15.0000i | −1.39472 | − | 0.805242i | −0.400887 | − | 0.916127i | \(-0.631298\pi\) |
−0.993833 | + | 0.110885i | \(0.964631\pi\) | |||||||
\(348\) | 2.59808 | − | 1.50000i | 0.139272 | − | 0.0804084i | ||||
\(349\) | −5.00000 | − | 8.66025i | −0.267644 | − | 0.463573i | 0.700609 | − | 0.713545i | \(-0.252912\pi\) |
−0.968253 | + | 0.249973i | \(0.919578\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −3.50000 | + | 0.866025i | −0.186816 | + | 0.0462250i | ||||
\(352\) | 6.00000i | 0.319801i | ||||||||
\(353\) | −12.9904 | + | 7.50000i | −0.691408 | + | 0.399185i | −0.804139 | − | 0.594441i | \(-0.797373\pi\) |
0.112731 | + | 0.993626i | \(0.464040\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 18.0000 | 0.953998 | ||||||||
\(357\) | −5.19615 | − | 3.00000i | −0.275010 | − | 0.158777i | ||||
\(358\) | 5.19615 | + | 3.00000i | 0.274625 | + | 0.158555i | ||||
\(359\) | −6.00000 | −0.316668 | −0.158334 | − | 0.987386i | \(-0.550612\pi\) | ||||
−0.158334 | + | 0.987386i | \(0.550612\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.50000 | + | 12.9904i | 0.394737 | + | 0.683704i | ||||
\(362\) | −6.06218 | + | 3.50000i | −0.318621 | + | 0.183956i | ||||
\(363\) | 25.0000i | 1.31216i | ||||||||
\(364\) | −5.00000 | − | 5.19615i | −0.262071 | − | 0.272352i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −3.50000 | − | 6.06218i | −0.182948 | − | 0.316875i | ||||
\(367\) | −1.73205 | + | 1.00000i | −0.0904123 | + | 0.0521996i | −0.544524 | − | 0.838745i | \(-0.683290\pi\) |
0.454112 | + | 0.890945i | \(0.349957\pi\) | |||||||
\(368\) | 5.19615 | + | 3.00000i | 0.270868 | + | 0.156386i | ||||
\(369\) | 3.00000 | 0.156174 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −3.00000 | + | 5.19615i | −0.155752 | + | 0.269771i | ||||
\(372\) | 4.00000i | 0.207390i | ||||||||
\(373\) | −25.1147 | − | 14.5000i | −1.30039 | − | 0.750782i | −0.319921 | − | 0.947444i | \(-0.603656\pi\) |
−0.980471 | + | 0.196663i | \(0.936990\pi\) | |||||||
\(374\) | 9.00000 | + | 15.5885i | 0.465379 | + | 0.806060i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −6.00000 | −0.309426 | ||||||||
\(377\) | 7.79423 | − | 7.50000i | 0.401423 | − | 0.386270i | ||||
\(378\) | − | 2.00000i | − | 0.102869i | ||||||
\(379\) | 10.0000 | + | 17.3205i | 0.513665 | + | 0.889695i | 0.999874 | + | 0.0158521i | \(0.00504609\pi\) |
−0.486209 | + | 0.873843i | \(0.661621\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 2.00000 | − | 3.46410i | 0.102463 | − | 0.177471i | ||||
\(382\) | − | 12.0000i | − | 0.613973i | ||||||
\(383\) | −20.7846 | − | 12.0000i | −1.06204 | − | 0.613171i | −0.136047 | − | 0.990702i | \(-0.543440\pi\) |
−0.925997 | + | 0.377531i | \(0.876773\pi\) | |||||||
\(384\) | −0.500000 | + | 0.866025i | −0.0255155 | + | 0.0441942i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 11.5000 | − | 19.9186i | 0.585335 | − | 1.01383i | ||||
\(387\) | 8.66025 | − | 5.00000i | 0.440225 | − | 0.254164i | ||||
\(388\) | 12.1244 | − | 7.00000i | 0.615521 | − | 0.355371i | ||||
\(389\) | −39.0000 | −1.97738 | −0.988689 | − | 0.149979i | \(-0.952080\pi\) | ||||
−0.988689 | + | 0.149979i | \(0.952080\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 18.0000 | 0.910299 | ||||||||
\(392\) | −2.59808 | + | 1.50000i | −0.131223 | + | 0.0757614i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −3.00000 | + | 5.19615i | −0.151138 | + | 0.261778i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −3.00000 | + | 5.19615i | −0.150756 | + | 0.261116i | ||||
\(397\) | 12.1244 | + | 7.00000i | 0.608504 | + | 0.351320i | 0.772380 | − | 0.635161i | \(-0.219066\pi\) |
−0.163876 | + | 0.986481i | \(0.552400\pi\) | |||||||
\(398\) | 10.0000i | 0.501255i | ||||||||
\(399\) | 2.00000 | − | 3.46410i | 0.100125 | − | 0.173422i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 1.50000 | + | 2.59808i | 0.0749064 | + | 0.129742i | 0.901046 | − | 0.433724i | \(-0.142801\pi\) |
−0.826139 | + | 0.563466i | \(0.809468\pi\) | |||||||
\(402\) | − | 10.0000i | − | 0.498755i | ||||||
\(403\) | 3.46410 | + | 14.0000i | 0.172559 | + | 0.697390i | ||||
\(404\) | −15.0000 | −0.746278 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 3.00000 | + | 5.19615i | 0.148888 | + | 0.257881i | ||||
\(407\) | −36.3731 | − | 21.0000i | −1.80295 | − | 1.04093i | ||||
\(408\) | 3.00000i | 0.148522i | ||||||||
\(409\) | −0.500000 | + | 0.866025i | −0.0247234 | + | 0.0428222i | −0.878122 | − | 0.478436i | \(-0.841204\pi\) |
0.853399 | + | 0.521258i | \(0.174537\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 9.00000 | 0.443937 | ||||||||
\(412\) | 12.1244 | + | 7.00000i | 0.597324 | + | 0.344865i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 3.00000 | + | 5.19615i | 0.147442 | + | 0.255377i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −1.00000 | + | 3.46410i | −0.0490290 | + | 0.169842i | ||||
\(417\) | 4.00000i | 0.195881i | ||||||||
\(418\) | −10.3923 | + | 6.00000i | −0.508304 | + | 0.293470i | ||||
\(419\) | 12.0000 | + | 20.7846i | 0.586238 | + | 1.01539i | 0.994720 | + | 0.102628i | \(0.0327251\pi\) |
−0.408481 | + | 0.912767i | \(0.633942\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 29.0000 | 1.41337 | 0.706687 | − | 0.707527i | \(-0.250189\pi\) | ||||
0.706687 | + | 0.707527i | \(0.250189\pi\) | |||||||
\(422\) | 13.8564 | + | 8.00000i | 0.674519 | + | 0.389434i | ||||
\(423\) | −5.19615 | − | 3.00000i | −0.252646 | − | 0.145865i | ||||
\(424\) | 3.00000 | 0.145693 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 3.00000 | + | 5.19615i | 0.145350 | + | 0.251754i | ||||
\(427\) | 12.1244 | − | 7.00000i | 0.586739 | − | 0.338754i | ||||
\(428\) | − | 6.00000i | − | 0.290021i | ||||||
\(429\) | −6.00000 | + | 20.7846i | −0.289683 | + | 1.00349i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 3.00000 | + | 5.19615i | 0.144505 | + | 0.250290i | 0.929188 | − | 0.369607i | \(-0.120508\pi\) |
−0.784683 | + | 0.619897i | \(0.787174\pi\) | |||||||
\(432\) | −0.866025 | + | 0.500000i | −0.0416667 | + | 0.0240563i | ||||
\(433\) | 11.2583 | + | 6.50000i | 0.541041 | + | 0.312370i | 0.745501 | − | 0.666505i | \(-0.232210\pi\) |
−0.204460 | + | 0.978875i | \(0.565544\pi\) | |||||||
\(434\) | −8.00000 | −0.384012 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −7.00000 | + | 12.1244i | −0.335239 | + | 0.580651i | ||||
\(437\) | 12.0000i | 0.574038i | ||||||||
\(438\) | −11.2583 | − | 6.50000i | −0.537944 | − | 0.310582i | ||||
\(439\) | 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 | ||||||||
\(441\) | −3.00000 | −0.142857 | ||||||||
\(442\) | 2.59808 | + | 10.5000i | 0.123578 | + | 0.499434i | ||||
\(443\) | − | 36.0000i | − | 1.71041i | −0.518289 | − | 0.855206i | \(-0.673431\pi\) | ||
0.518289 | − | 0.855206i | \(-0.326569\pi\) | |||||||
\(444\) | −3.50000 | − | 6.06218i | −0.166103 | − | 0.287698i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 4.00000 | − | 6.92820i | 0.189405 | − | 0.328060i | ||||
\(447\) | 9.00000i | 0.425685i | ||||||||
\(448\) | −1.73205 | − | 1.00000i | −0.0818317 | − | 0.0472456i | ||||
\(449\) | 9.00000 | − | 15.5885i | 0.424736 | − | 0.735665i | −0.571660 | − | 0.820491i | \(-0.693700\pi\) |
0.996396 | + | 0.0848262i | \(0.0270335\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 9.00000 | − | 15.5885i | 0.423793 | − | 0.734032i | ||||
\(452\) | 2.59808 | − | 1.50000i | 0.122203 | − | 0.0705541i | ||||
\(453\) | −8.66025 | + | 5.00000i | −0.406894 | + | 0.234920i | ||||
\(454\) | 18.0000 | 0.844782 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −2.00000 | −0.0936586 | ||||||||
\(457\) | −9.52628 | + | 5.50000i | −0.445621 | + | 0.257279i | −0.705979 | − | 0.708233i | \(-0.749493\pi\) |
0.260358 | + | 0.965512i | \(0.416159\pi\) | |||||||
\(458\) | 19.0526 | − | 11.0000i | 0.890268 | − | 0.513996i | ||||
\(459\) | −1.50000 | + | 2.59808i | −0.0700140 | + | 0.121268i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −7.50000 | + | 12.9904i | −0.349310 | + | 0.605022i | −0.986127 | − | 0.165992i | \(-0.946917\pi\) |
0.636817 | + | 0.771015i | \(0.280251\pi\) | |||||||
\(462\) | −10.3923 | − | 6.00000i | −0.483494 | − | 0.279145i | ||||
\(463\) | 38.0000i | 1.76601i | 0.469364 | + | 0.883005i | \(0.344483\pi\) | ||||
−0.469364 | + | 0.883005i | \(0.655517\pi\) | |||||||
\(464\) | 1.50000 | − | 2.59808i | 0.0696358 | − | 0.120613i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −3.00000 | − | 5.19615i | −0.138972 | − | 0.240707i | ||||
\(467\) | 18.0000i | 0.832941i | 0.909149 | + | 0.416470i | \(0.136733\pi\) | ||||
−0.909149 | + | 0.416470i | \(0.863267\pi\) | |||||||
\(468\) | −2.59808 | + | 2.50000i | −0.120096 | + | 0.115563i | ||||
\(469\) | 20.0000 | 0.923514 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −2.50000 | − | 4.33013i | −0.115194 | − | 0.199522i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | − | 60.0000i | − | 2.75880i | ||||||
\(474\) | 2.00000 | − | 3.46410i | 0.0918630 | − | 0.159111i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −6.00000 | −0.275010 | ||||||||
\(477\) | 2.59808 | + | 1.50000i | 0.118958 | + | 0.0686803i | ||||
\(478\) | −5.19615 | + | 3.00000i | −0.237666 | + | 0.137217i | ||||
\(479\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −17.5000 | − | 18.1865i | −0.797931 | − | 0.829235i | ||||
\(482\) | − | 1.00000i | − | 0.0455488i | ||||||
\(483\) | −10.3923 | + | 6.00000i | −0.472866 | + | 0.273009i | ||||
\(484\) | 12.5000 | + | 21.6506i | 0.568182 | + | 0.984120i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −1.00000 | −0.0453609 | ||||||||
\(487\) | 1.73205 | + | 1.00000i | 0.0784867 | + | 0.0453143i | 0.538730 | − | 0.842479i | \(-0.318904\pi\) |
−0.460243 | + | 0.887793i | \(0.652238\pi\) | |||||||
\(488\) | −6.06218 | − | 3.50000i | −0.274422 | − | 0.158438i | ||||
\(489\) | 4.00000 | 0.180886 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 9.00000 | + | 15.5885i | 0.406164 | + | 0.703497i | 0.994456 | − | 0.105151i | \(-0.0335327\pi\) |
−0.588292 | + | 0.808649i | \(0.700199\pi\) | |||||||
\(492\) | 2.59808 | − | 1.50000i | 0.117130 | − | 0.0676252i | ||||
\(493\) | − | 9.00000i | − | 0.405340i | ||||||
\(494\) | −7.00000 | + | 1.73205i | −0.314945 | + | 0.0779287i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.00000 | + | 3.46410i | 0.0898027 | + | 0.155543i | ||||
\(497\) | −10.3923 | + | 6.00000i | −0.466159 | + | 0.269137i | ||||
\(498\) | −5.19615 | − | 3.00000i | −0.232845 | − | 0.134433i | ||||
\(499\) | −32.0000 | −1.43252 | −0.716258 | − | 0.697835i | \(-0.754147\pi\) | ||||
−0.716258 | + | 0.697835i | \(0.754147\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | − | 12.0000i | − | 0.535586i | ||||||
\(503\) | −5.19615 | − | 3.00000i | −0.231685 | − | 0.133763i | 0.379664 | − | 0.925124i | \(-0.376040\pi\) |
−0.611349 | + | 0.791361i | \(0.709373\pi\) | |||||||
\(504\) | −1.00000 | − | 1.73205i | −0.0445435 | − | 0.0771517i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 36.0000 | 1.60040 | ||||||||
\(507\) | −6.92820 | + | 11.0000i | −0.307692 | + | 0.488527i | ||||
\(508\) | − | 4.00000i | − | 0.177471i | ||||||
\(509\) | 1.50000 | + | 2.59808i | 0.0664863 | + | 0.115158i | 0.897352 | − | 0.441315i | \(-0.145488\pi\) |
−0.830866 | + | 0.556473i | \(0.812154\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 13.0000 | − | 22.5167i | 0.575086 | − | 0.996078i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −1.73205 | − | 1.00000i | −0.0764719 | − | 0.0441511i | ||||
\(514\) | 1.50000 | − | 2.59808i | 0.0661622 | − | 0.114596i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 5.00000 | − | 8.66025i | 0.220113 | − | 0.381246i | ||||
\(517\) | −31.1769 | + | 18.0000i | −1.37116 | + | 0.791639i | ||||
\(518\) | 12.1244 | − | 7.00000i | 0.532714 | − | 0.307562i | ||||
\(519\) | 6.00000 | 0.263371 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 33.0000 | 1.44576 | 0.722878 | − | 0.690976i | \(-0.242819\pi\) | ||||
0.722878 | + | 0.690976i | \(0.242819\pi\) | |||||||
\(522\) | 2.59808 | − | 1.50000i | 0.113715 | − | 0.0656532i | ||||
\(523\) | −29.4449 | + | 17.0000i | −1.28753 | + | 0.743358i | −0.978214 | − | 0.207600i | \(-0.933435\pi\) |
−0.309320 | + | 0.950958i | \(0.600101\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −3.00000 | + | 5.19615i | −0.130806 | + | 0.226563i | ||||
\(527\) | 10.3923 | + | 6.00000i | 0.452696 | + | 0.261364i | ||||
\(528\) | 6.00000i | 0.261116i | ||||||||
\(529\) | 6.50000 | − | 11.2583i | 0.282609 | − | 0.489493i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | − | 4.00000i | − | 0.173422i | ||||||
\(533\) | 7.79423 | − | 7.50000i | 0.337606 | − | 0.324861i | ||||
\(534\) | 18.0000 | 0.778936 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −5.00000 | − | 8.66025i | −0.215967 | − | 0.374066i | ||||
\(537\) | 5.19615 | + | 3.00000i | 0.224231 | + | 0.129460i | ||||
\(538\) | − | 18.0000i | − | 0.776035i | ||||||
\(539\) | −9.00000 | + | 15.5885i | −0.387657 | + | 0.671442i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 29.0000 | 1.24681 | 0.623404 | − | 0.781900i | \(-0.285749\pi\) | ||||
0.623404 | + | 0.781900i | \(0.285749\pi\) | |||||||
\(542\) | 13.8564 | + | 8.00000i | 0.595184 | + | 0.343629i | ||||
\(543\) | −6.06218 | + | 3.50000i | −0.260153 | + | 0.150199i | ||||
\(544\) | 1.50000 | + | 2.59808i | 0.0643120 | + | 0.111392i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −5.00000 | − | 5.19615i | −0.213980 | − | 0.222375i | ||||
\(547\) | 34.0000i | 1.45374i | 0.686778 | + | 0.726868i | \(0.259025\pi\) | ||||
−0.686778 | + | 0.726868i | \(0.740975\pi\) | |||||||
\(548\) | 7.79423 | − | 4.50000i | 0.332953 | − | 0.192230i | ||||
\(549\) | −3.50000 | − | 6.06218i | −0.149376 | − | 0.258727i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 6.00000 | 0.255609 | ||||||||
\(552\) | 5.19615 | + | 3.00000i | 0.221163 | + | 0.127688i | ||||
\(553\) | 6.92820 | + | 4.00000i | 0.294617 | + | 0.170097i | ||||
\(554\) | 17.0000 | 0.722261 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 2.00000 | + | 3.46410i | 0.0848189 | + | 0.146911i | ||||
\(557\) | −2.59808 | + | 1.50000i | −0.110084 | + | 0.0635570i | −0.554031 | − | 0.832496i | \(-0.686911\pi\) |
0.443947 | + | 0.896053i | \(0.353578\pi\) | |||||||
\(558\) | 4.00000i | 0.169334i | ||||||||
\(559\) | 10.0000 | − | 34.6410i | 0.422955 | − | 1.46516i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 9.00000 | + | 15.5885i | 0.379980 | + | 0.658145i | ||||
\(562\) | 7.79423 | − | 4.50000i | 0.328780 | − | 0.189821i | ||||
\(563\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(564\) | −6.00000 | −0.252646 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 7.00000 | − | 12.1244i | 0.294232 | − | 0.509625i | ||||
\(567\) | − | 2.00000i | − | 0.0839921i | ||||||
\(568\) | 5.19615 | + | 3.00000i | 0.218026 | + | 0.125877i | ||||
\(569\) | 3.00000 | + | 5.19615i | 0.125767 | + | 0.217834i | 0.922032 | − | 0.387113i | \(-0.126528\pi\) |
−0.796266 | + | 0.604947i | \(0.793194\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −22.0000 | −0.920671 | −0.460336 | − | 0.887745i | \(-0.652271\pi\) | ||||
−0.460336 | + | 0.887745i | \(0.652271\pi\) | |||||||
\(572\) | 5.19615 | + | 21.0000i | 0.217262 | + | 0.878054i | ||||
\(573\) | − | 12.0000i | − | 0.501307i | ||||||
\(574\) | 3.00000 | + | 5.19615i | 0.125218 | + | 0.216883i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −0.500000 | + | 0.866025i | −0.0208333 | + | 0.0360844i | ||||
\(577\) | − | 11.0000i | − | 0.457936i | −0.973434 | − | 0.228968i | \(-0.926465\pi\) | ||
0.973434 | − | 0.228968i | \(-0.0735351\pi\) | |||||||
\(578\) | −6.92820 | − | 4.00000i | −0.288175 | − | 0.166378i | ||||
\(579\) | 11.5000 | − | 19.9186i | 0.477924 | − | 0.827788i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 6.00000 | − | 10.3923i | 0.248922 | − | 0.431145i | ||||
\(582\) | 12.1244 | − | 7.00000i | 0.502571 | − | 0.290159i | ||||
\(583\) | 15.5885 | − | 9.00000i | 0.645608 | − | 0.372742i | ||||
\(584\) | −13.0000 | −0.537944 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 21.0000 | 0.867502 | ||||||||
\(587\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(588\) | −2.59808 | + | 1.50000i | −0.107143 | + | 0.0618590i | ||||
\(589\) | −4.00000 | + | 6.92820i | −0.164817 | + | 0.285472i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −3.00000 | + | 5.19615i | −0.123404 | + | 0.213741i | ||||
\(592\) | −6.06218 | − | 3.50000i | −0.249154 | − | 0.143849i | ||||
\(593\) | 9.00000i | 0.369586i | 0.982777 | + | 0.184793i | \(0.0591614\pi\) | ||||
−0.982777 | + | 0.184793i | \(0.940839\pi\) | |||||||
\(594\) | −3.00000 | + | 5.19615i | −0.123091 | + | 0.213201i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 4.50000 | + | 7.79423i | 0.184327 | + | 0.319264i | ||||
\(597\) | 10.0000i | 0.409273i | ||||||||
\(598\) | 20.7846 | + | 6.00000i | 0.849946 | + | 0.245358i | ||||
\(599\) | −24.0000 | −0.980613 | −0.490307 | − | 0.871550i | \(-0.663115\pi\) | ||||
−0.490307 | + | 0.871550i | \(0.663115\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 18.5000 | + | 32.0429i | 0.754631 | + | 1.30706i | 0.945558 | + | 0.325455i | \(0.105517\pi\) |
−0.190927 | + | 0.981604i | \(0.561149\pi\) | |||||||
\(602\) | 17.3205 | + | 10.0000i | 0.705931 | + | 0.407570i | ||||
\(603\) | − | 10.0000i | − | 0.407231i | ||||||
\(604\) | −5.00000 | + | 8.66025i | −0.203447 | + | 0.352381i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −15.0000 | −0.609333 | ||||||||
\(607\) | 27.7128 | + | 16.0000i | 1.12483 | + | 0.649420i | 0.942629 | − | 0.333842i | \(-0.108345\pi\) |
0.182199 | + | 0.983262i | \(0.441678\pi\) | |||||||
\(608\) | −1.73205 | + | 1.00000i | −0.0702439 | + | 0.0405554i | ||||
\(609\) | 3.00000 | + | 5.19615i | 0.121566 | + | 0.210559i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −21.0000 | + | 5.19615i | −0.849569 | + | 0.210214i | ||||
\(612\) | 3.00000i | 0.121268i | ||||||||
\(613\) | −26.8468 | + | 15.5000i | −1.08433 | + | 0.626039i | −0.932062 | − | 0.362300i | \(-0.881992\pi\) |
−0.152270 | + | 0.988339i | \(0.548658\pi\) | |||||||
\(614\) | 5.00000 | + | 8.66025i | 0.201784 | + | 0.349499i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −12.0000 | −0.483494 | ||||||||
\(617\) | −12.9904 | − | 7.50000i | −0.522973 | − | 0.301939i | 0.215177 | − | 0.976575i | \(-0.430967\pi\) |
−0.738150 | + | 0.674636i | \(0.764300\pi\) | |||||||
\(618\) | 12.1244 | + | 7.00000i | 0.487713 | + | 0.281581i | ||||
\(619\) | −8.00000 | −0.321547 | −0.160774 | − | 0.986991i | \(-0.551399\pi\) | ||||
−0.160774 | + | 0.986991i | \(0.551399\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 3.00000 | + | 5.19615i | 0.120386 | + | 0.208514i | ||||
\(622\) | −25.9808 | + | 15.0000i | −1.04173 | + | 0.601445i | ||||
\(623\) | 36.0000i | 1.44231i | ||||||||
\(624\) | −1.00000 | + | 3.46410i | −0.0400320 | + | 0.138675i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −5.00000 | − | 8.66025i | −0.199840 | − | 0.346133i | ||||
\(627\) | −10.3923 | + | 6.00000i | −0.415029 | + | 0.239617i | ||||
\(628\) | −4.33013 | − | 2.50000i | −0.172791 | − | 0.0997609i | ||||
\(629\) | −21.0000 | −0.837325 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −10.0000 | + | 17.3205i | −0.398094 | + | 0.689519i | −0.993491 | − | 0.113913i | \(-0.963661\pi\) |
0.595397 | + | 0.803432i | \(0.296995\pi\) | |||||||
\(632\) | − | 4.00000i | − | 0.159111i | ||||||
\(633\) | 13.8564 | + | 8.00000i | 0.550743 | + | 0.317971i | ||||
\(634\) | −1.50000 | − | 2.59808i | −0.0595726 | − | 0.103183i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 3.00000 | 0.118958 | ||||||||
\(637\) | −7.79423 | + | 7.50000i | −0.308819 | + | 0.297161i | ||||
\(638\) | − | 18.0000i | − | 0.712627i | ||||||
\(639\) | 3.00000 | + | 5.19615i | 0.118678 | + | 0.205557i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 1.50000 | − | 2.59808i | 0.0592464 | − | 0.102618i | −0.834881 | − | 0.550431i | \(-0.814464\pi\) |
0.894127 | + | 0.447813i | \(0.147797\pi\) | |||||||
\(642\) | − | 6.00000i | − | 0.236801i | ||||||
\(643\) | 13.8564 | + | 8.00000i | 0.546443 | + | 0.315489i | 0.747686 | − | 0.664052i | \(-0.231165\pi\) |
−0.201243 | + | 0.979541i | \(0.564498\pi\) | |||||||
\(644\) | −6.00000 | + | 10.3923i | −0.236433 | + | 0.409514i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −3.00000 | + | 5.19615i | −0.118033 | + | 0.204440i | ||||
\(647\) | −20.7846 | + | 12.0000i | −0.817127 | + | 0.471769i | −0.849425 | − | 0.527710i | \(-0.823051\pi\) |
0.0322975 | + | 0.999478i | \(0.489718\pi\) | |||||||
\(648\) | −0.866025 | + | 0.500000i | −0.0340207 | + | 0.0196419i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −8.00000 | −0.313545 | ||||||||
\(652\) | 3.46410 | − | 2.00000i | 0.135665 | − | 0.0783260i | ||||
\(653\) | 36.3731 | − | 21.0000i | 1.42339 | − | 0.821794i | 0.426801 | − | 0.904345i | \(-0.359640\pi\) |
0.996587 | + | 0.0825519i | \(0.0263070\pi\) | |||||||
\(654\) | −7.00000 | + | 12.1244i | −0.273722 | + | 0.474100i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 1.50000 | − | 2.59808i | 0.0585652 | − | 0.101438i | ||||
\(657\) | −11.2583 | − | 6.50000i | −0.439229 | − | 0.253589i | ||||
\(658\) | − | 12.0000i | − | 0.467809i | ||||||
\(659\) | 12.0000 | − | 20.7846i | 0.467454 | − | 0.809653i | −0.531855 | − | 0.846836i | \(-0.678505\pi\) |
0.999309 | + | 0.0371821i | \(0.0118382\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −2.50000 | − | 4.33013i | −0.0972387 | − | 0.168422i | 0.813302 | − | 0.581842i | \(-0.197668\pi\) |
−0.910541 | + | 0.413419i | \(0.864334\pi\) | |||||||
\(662\) | − | 4.00000i | − | 0.155464i | ||||||
\(663\) | 2.59808 | + | 10.5000i | 0.100901 | + | 0.407786i | ||||
\(664\) | −6.00000 | −0.232845 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −3.50000 | − | 6.06218i | −0.135622 | − | 0.234905i | ||||
\(667\) | −15.5885 | − | 9.00000i | −0.603587 | − | 0.348481i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 4.00000 | − | 6.92820i | 0.154649 | − | 0.267860i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −42.0000 | −1.62139 | ||||||||
\(672\) | −1.73205 | − | 1.00000i | −0.0668153 | − | 0.0385758i | ||||
\(673\) | −11.2583 | + | 6.50000i | −0.433977 | + | 0.250557i | −0.701039 | − | 0.713123i | \(-0.747280\pi\) |
0.267063 | + | 0.963679i | \(0.413947\pi\) | |||||||
\(674\) | −11.5000 | − | 19.9186i | −0.442963 | − | 0.767235i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −0.500000 | + | 12.9904i | −0.0192308 | + | 0.499630i | ||||
\(677\) | − | 18.0000i | − | 0.691796i | −0.938272 | − | 0.345898i | \(-0.887574\pi\) | ||
0.938272 | − | 0.345898i | \(-0.112426\pi\) | |||||||
\(678\) | 2.59808 | − | 1.50000i | 0.0997785 | − | 0.0576072i | ||||
\(679\) | 14.0000 | + | 24.2487i | 0.537271 | + | 0.930580i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 18.0000 | 0.689761 | ||||||||
\(682\) | 20.7846 | + | 12.0000i | 0.795884 | + | 0.459504i | ||||
\(683\) | 41.5692 | + | 24.0000i | 1.59060 | + | 0.918334i | 0.993204 | + | 0.116390i | \(0.0371322\pi\) |
0.597398 | + | 0.801945i | \(0.296201\pi\) | |||||||
\(684\) | −2.00000 | −0.0764719 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −10.0000 | − | 17.3205i | −0.381802 | − | 0.661300i | ||||
\(687\) | 19.0526 | − | 11.0000i | 0.726900 | − | 0.419676i | ||||
\(688\) | − | 10.0000i | − | 0.381246i | ||||||
\(689\) | 10.5000 | − | 2.59808i | 0.400018 | − | 0.0989788i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −13.0000 | − | 22.5167i | −0.494543 | − | 0.856574i | 0.505437 | − | 0.862864i | \(-0.331331\pi\) |
−0.999980 | + | 0.00628943i | \(0.997998\pi\) | |||||||
\(692\) | 5.19615 | − | 3.00000i | 0.197528 | − | 0.114043i | ||||
\(693\) | −10.3923 | − | 6.00000i | −0.394771 | − | 0.227921i | ||||
\(694\) | −30.0000 | −1.13878 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 1.50000 | − | 2.59808i | 0.0568574 | − | 0.0984798i | ||||
\(697\) | − | 9.00000i | − | 0.340899i | ||||||
\(698\) | −8.66025 | − | 5.00000i | −0.327795 | − | 0.189253i | ||||
\(699\) | −3.00000 | − | 5.19615i | −0.113470 | − | 0.196537i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −30.0000 | −1.13308 | −0.566542 | − | 0.824033i | \(-0.691719\pi\) | ||||
−0.566542 | + | 0.824033i | \(0.691719\pi\) | |||||||
\(702\) | −2.59808 | + | 2.50000i | −0.0980581 | + | 0.0943564i | ||||
\(703\) | − | 14.0000i | − | 0.528020i | ||||||
\(704\) | 3.00000 | + | 5.19615i | 0.113067 | + | 0.195837i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −7.50000 | + | 12.9904i | −0.282266 | + | 0.488899i | ||||
\(707\) | − | 30.0000i | − | 1.12827i | ||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.50000 | − | 4.33013i | 0.0938895 | − | 0.162621i | −0.815255 | − | 0.579102i | \(-0.803403\pi\) |
0.909145 | + | 0.416481i | \(0.136737\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 2.00000 | − | 3.46410i | 0.0750059 | − | 0.129914i | ||||
\(712\) | 15.5885 | − | 9.00000i | 0.584202 | − | 0.337289i | ||||
\(713\) | 20.7846 | − | 12.0000i | 0.778390 | − | 0.449404i | ||||
\(714\) | −6.00000 | −0.224544 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 6.00000 | 0.224231 | ||||||||
\(717\) | −5.19615 | + | 3.00000i | −0.194054 | + | 0.112037i | ||||
\(718\) | −5.19615 | + | 3.00000i | −0.193919 | + | 0.111959i | ||||
\(719\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −14.0000 | + | 24.2487i | −0.521387 | + | 0.903069i | ||||
\(722\) | 12.9904 | + | 7.50000i | 0.483452 | + | 0.279121i | ||||
\(723\) | − | 1.00000i | − | 0.0371904i | ||||||
\(724\) | −3.50000 | + | 6.06218i | −0.130076 | + | 0.225299i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 12.5000 | + | 21.6506i | 0.463919 | + | 0.803530i | ||||
\(727\) | − | 14.0000i | − | 0.519231i | −0.965712 | − | 0.259616i | \(-0.916404\pi\) | ||
0.965712 | − | 0.259616i | \(-0.0835959\pi\) | |||||||
\(728\) | −6.92820 | − | 2.00000i | −0.256776 | − | 0.0741249i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −15.0000 | − | 25.9808i | −0.554795 | − | 0.960933i | ||||
\(732\) | −6.06218 | − | 3.50000i | −0.224065 | − | 0.129364i | ||||
\(733\) | − | 31.0000i | − | 1.14501i | −0.819901 | − | 0.572506i | \(-0.805971\pi\) | ||
0.819901 | − | 0.572506i | \(-0.194029\pi\) | |||||||
\(734\) | −1.00000 | + | 1.73205i | −0.0369107 | + | 0.0639312i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 6.00000 | 0.221163 | ||||||||
\(737\) | −51.9615 | − | 30.0000i | −1.91403 | − | 1.10506i | ||||
\(738\) | 2.59808 | − | 1.50000i | 0.0956365 | − | 0.0552158i | ||||
\(739\) | −8.00000 | − | 13.8564i | −0.294285 | − | 0.509716i | 0.680534 | − | 0.732717i | \(-0.261748\pi\) |
−0.974818 | + | 0.223001i | \(0.928415\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −7.00000 | + | 1.73205i | −0.257151 | + | 0.0636285i | ||||
\(742\) | 6.00000i | 0.220267i | ||||||||
\(743\) | −31.1769 | + | 18.0000i | −1.14377 | + | 0.660356i | −0.947361 | − | 0.320166i | \(-0.896261\pi\) |
−0.196409 | + | 0.980522i | \(0.562928\pi\) | |||||||
\(744\) | 2.00000 | + | 3.46410i | 0.0733236 | + | 0.127000i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −29.0000 | −1.06177 | ||||||||
\(747\) | −5.19615 | − | 3.00000i | −0.190117 | − | 0.109764i | ||||
\(748\) | 15.5885 | + | 9.00000i | 0.569970 | + | 0.329073i | ||||
\(749\) | 12.0000 | 0.438470 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −7.00000 | − | 12.1244i | −0.255434 | − | 0.442424i | 0.709580 | − | 0.704625i | \(-0.248885\pi\) |
−0.965013 | + | 0.262201i | \(0.915552\pi\) | |||||||
\(752\) | −5.19615 | + | 3.00000i | −0.189484 | + | 0.109399i | ||||
\(753\) | − | 12.0000i | − | 0.437304i | ||||||
\(754\) | 3.00000 | − | 10.3923i | 0.109254 | − | 0.378465i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −1.00000 | − | 1.73205i | −0.0363696 | − | 0.0629941i | ||||
\(757\) | 29.4449 | − | 17.0000i | 1.07019 | − | 0.617876i | 0.141958 | − | 0.989873i | \(-0.454660\pi\) |
0.928234 | + | 0.371997i | \(0.121327\pi\) | |||||||
\(758\) | 17.3205 | + | 10.0000i | 0.629109 | + | 0.363216i | ||||
\(759\) | 36.0000 | 1.30672 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 15.0000 | − | 25.9808i | 0.543750 | − | 0.941802i | −0.454935 | − | 0.890525i | \(-0.650337\pi\) |
0.998684 | − | 0.0512772i | \(-0.0163292\pi\) | |||||||
\(762\) | − | 4.00000i | − | 0.144905i | ||||||
\(763\) | −24.2487 | − | 14.0000i | −0.877862 | − | 0.506834i | ||||
\(764\) | −6.00000 | − | 10.3923i | −0.217072 | − | 0.375980i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −24.0000 | −0.867155 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 1.00000i | 0.0360844i | ||||||||
\(769\) | 7.00000 | + | 12.1244i | 0.252426 | + | 0.437215i | 0.964193 | − | 0.265200i | \(-0.0854381\pi\) |
−0.711767 | + | 0.702416i | \(0.752105\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 1.50000 | − | 2.59808i | 0.0540212 | − | 0.0935674i | ||||
\(772\) | − | 23.0000i | − | 0.827788i | ||||||
\(773\) | 25.9808 | + | 15.0000i | 0.934463 | + | 0.539513i | 0.888220 | − | 0.459418i | \(-0.151942\pi\) |
0.0462427 | + | 0.998930i | \(0.485275\pi\) | |||||||
\(774\) | 5.00000 | − | 8.66025i | 0.179721 | − | 0.311286i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 7.00000 | − | 12.1244i | 0.251285 | − | 0.435239i | ||||
\(777\) | 12.1244 | − | 7.00000i | 0.434959 | − | 0.251124i | ||||
\(778\) | −33.7750 | + | 19.5000i | −1.21089 | + | 0.699109i | ||||
\(779\) | 6.00000 | 0.214972 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 36.0000 | 1.28818 | ||||||||
\(782\) | 15.5885 | − | 9.00000i | 0.557442 | − | 0.321839i | ||||
\(783\) | 2.59808 | − | 1.50000i | 0.0928477 | − | 0.0536056i | ||||
\(784\) | −1.50000 | + | 2.59808i | −0.0535714 | + | 0.0927884i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −24.2487 | − | 14.0000i | −0.864373 | − | 0.499046i | 0.00110111 | − | 0.999999i | \(-0.499650\pi\) |
−0.865474 | + | 0.500953i | \(0.832983\pi\) | |||||||
\(788\) | 6.00000i | 0.213741i | ||||||||
\(789\) | −3.00000 | + | 5.19615i | −0.106803 | + | 0.184988i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 3.00000 | + | 5.19615i | 0.106668 | + | 0.184754i | ||||
\(792\) | 6.00000i | 0.213201i | ||||||||
\(793\) | −24.2487 | − | 7.00000i | −0.861097 | − | 0.248577i | ||||
\(794\) | 14.0000 | 0.496841 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 5.00000 | + | 8.66025i | 0.177220 | + | 0.306955i | ||||
\(797\) | 25.9808 | + | 15.0000i | 0.920286 | + | 0.531327i | 0.883726 | − | 0.468004i | \(-0.155027\pi\) |
0.0365596 | + | 0.999331i | \(0.488360\pi\) | |||||||
\(798\) | − | 4.00000i | − | 0.141598i | ||||||
\(799\) | −9.00000 | + | 15.5885i | −0.318397 | + | 0.551480i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 18.0000 | 0.635999 | ||||||||
\(802\) | 2.59808 | + | 1.50000i | 0.0917413 | + | 0.0529668i | ||||
\(803\) | −67.5500 | + | 39.0000i | −2.38379 | + | 1.37628i | ||||
\(804\) | −5.00000 | − | 8.66025i | −0.176336 | − | 0.305424i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 10.0000 | + | 10.3923i | 0.352235 | + | 0.366053i | ||||
\(807\) | − | 18.0000i | − | 0.633630i | ||||||
\(808\) | −12.9904 | + | 7.50000i | −0.457000 | + | 0.263849i | ||||
\(809\) | −25.5000 | − | 44.1673i | −0.896532 | − | 1.55284i | −0.831897 | − | 0.554930i | \(-0.812745\pi\) |
−0.0646355 | − | 0.997909i | \(-0.520588\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −4.00000 | −0.140459 | −0.0702295 | − | 0.997531i | \(-0.522373\pi\) | ||||
−0.0702295 | + | 0.997531i | \(0.522373\pi\) | |||||||
\(812\) | 5.19615 | + | 3.00000i | 0.182349 | + | 0.105279i | ||||
\(813\) | 13.8564 | + | 8.00000i | 0.485965 | + | 0.280572i | ||||
\(814\) | −42.0000 | −1.47210 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 1.50000 | + | 2.59808i | 0.0525105 | + | 0.0909509i | ||||
\(817\) | 17.3205 | − | 10.0000i | 0.605968 | − | 0.349856i | ||||
\(818\) | 1.00000i | 0.0349642i | ||||||||
\(819\) | −5.00000 | − | 5.19615i | −0.174714 | − | 0.181568i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −9.00000 | − | 15.5885i | −0.314102 | − | 0.544041i | 0.665144 | − | 0.746715i | \(-0.268370\pi\) |
−0.979246 | + | 0.202674i | \(0.935037\pi\) | |||||||
\(822\) | 7.79423 | − | 4.50000i | 0.271855 | − | 0.156956i | ||||
\(823\) | 34.6410 | + | 20.0000i | 1.20751 | + | 0.697156i | 0.962215 | − | 0.272292i | \(-0.0877817\pi\) |
0.245295 | + | 0.969448i | \(0.421115\pi\) | |||||||
\(824\) | 14.0000 | 0.487713 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 48.0000i | 1.66912i | 0.550914 | + | 0.834562i | \(0.314279\pi\) | ||||
−0.550914 | + | 0.834562i | \(0.685721\pi\) | |||||||
\(828\) | 5.19615 | + | 3.00000i | 0.180579 | + | 0.104257i | ||||
\(829\) | 8.50000 | + | 14.7224i | 0.295217 | + | 0.511331i | 0.975035 | − | 0.222049i | \(-0.0712747\pi\) |
−0.679818 | + | 0.733381i | \(0.737941\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 17.0000 | 0.589723 | ||||||||
\(832\) | 0.866025 | + | 3.50000i | 0.0300240 | + | 0.121341i | ||||
\(833\) | 9.00000i | 0.311832i | ||||||||
\(834\) | 2.00000 | + | 3.46410i | 0.0692543 | + | 0.119952i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −6.00000 | + | 10.3923i | −0.207514 | + | 0.359425i | ||||
\(837\) | 4.00000i | 0.138260i | ||||||||
\(838\) | 20.7846 | + | 12.0000i | 0.717992 | + | 0.414533i | ||||
\(839\) | −6.00000 | + | 10.3923i | −0.207143 | + | 0.358782i | −0.950813 | − | 0.309764i | \(-0.899750\pi\) |
0.743670 | + | 0.668546i | \(0.233083\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 10.0000 | − | 17.3205i | 0.344828 | − | 0.597259i | ||||
\(842\) | 25.1147 | − | 14.5000i | 0.865511 | − | 0.499703i | ||||
\(843\) | 7.79423 | − | 4.50000i | 0.268447 | − | 0.154988i | ||||
\(844\) | 16.0000 | 0.550743 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −6.00000 | −0.206284 | ||||||||
\(847\) | −43.3013 | + | 25.0000i | −1.48785 | + | 0.859010i | ||||
\(848\) | 2.59808 | − | 1.50000i | 0.0892183 | − | 0.0515102i | ||||
\(849\) | 7.00000 | − | 12.1244i | 0.240239 | − | 0.416107i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −21.0000 | + | 36.3731i | −0.719871 | + | 1.24685i | ||||
\(852\) | 5.19615 | + | 3.00000i | 0.178017 | + | 0.102778i | ||||
\(853\) | − | 19.0000i | − | 0.650548i | −0.945620 | − | 0.325274i | \(-0.894544\pi\) | ||
0.945620 | − | 0.325274i | \(-0.105456\pi\) | |||||||
\(854\) | 7.00000 | − | 12.1244i | 0.239535 | − | 0.414887i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −3.00000 | − | 5.19615i | −0.102538 | − | 0.177601i | ||||
\(857\) | − | 21.0000i | − | 0.717346i | −0.933463 | − | 0.358673i | \(-0.883229\pi\) | ||
0.933463 | − | 0.358673i | \(-0.116771\pi\) | |||||||
\(858\) | 5.19615 | + | 21.0000i | 0.177394 | + | 0.716928i | ||||
\(859\) | −26.0000 | −0.887109 | −0.443554 | − | 0.896248i | \(-0.646283\pi\) | ||||
−0.443554 | + | 0.896248i | \(0.646283\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 3.00000 | + | 5.19615i | 0.102240 | + | 0.177084i | ||||
\(862\) | 5.19615 | + | 3.00000i | 0.176982 | + | 0.102180i | ||||
\(863\) | 18.0000i | 0.612727i | 0.951915 | + | 0.306364i | \(0.0991123\pi\) | ||||
−0.951915 | + | 0.306364i | \(0.900888\pi\) | |||||||
\(864\) | −0.500000 | + | 0.866025i | −0.0170103 | + | 0.0294628i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 13.0000 | 0.441758 | ||||||||
\(867\) | −6.92820 | − | 4.00000i | −0.235294 | − | 0.135847i | ||||
\(868\) | −6.92820 | + | 4.00000i | −0.235159 | + | 0.135769i | ||||
\(869\) | −12.0000 | − | 20.7846i | −0.407072 | − | 0.705070i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −25.0000 | − | 25.9808i | −0.847093 | − | 0.880325i | ||||
\(872\) | 14.0000i | 0.474100i | ||||||||
\(873\) | 12.1244 | − | 7.00000i | 0.410347 | − | 0.236914i | ||||
\(874\) | 6.00000 | + | 10.3923i | 0.202953 | + | 0.351525i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −13.0000 | −0.439229 | ||||||||
\(877\) | 35.5070 | + | 20.5000i | 1.19899 | + | 0.692236i | 0.960329 | − | 0.278868i | \(-0.0899591\pi\) |
0.238658 | + | 0.971104i | \(0.423292\pi\) | |||||||
\(878\) | 12.1244 | + | 7.00000i | 0.409177 | + | 0.236239i | ||||
\(879\) | 21.0000 | 0.708312 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −16.5000 | − | 28.5788i | −0.555899 | − | 0.962846i | −0.997833 | − | 0.0657979i | \(-0.979041\pi\) |
0.441934 | − | 0.897048i | \(-0.354293\pi\) | |||||||
\(882\) | −2.59808 | + | 1.50000i | −0.0874818 | + | 0.0505076i | ||||
\(883\) | 8.00000i | 0.269221i | 0.990899 | + | 0.134611i | \(0.0429784\pi\) | ||||
−0.990899 | + | 0.134611i | \(0.957022\pi\) | |||||||
\(884\) | 7.50000 | + | 7.79423i | 0.252252 | + | 0.262148i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −18.0000 | − | 31.1769i | −0.604722 | − | 1.04741i | ||||
\(887\) | 41.5692 | − | 24.0000i | 1.39576 | − | 0.805841i | 0.401813 | − | 0.915722i | \(-0.368380\pi\) |
0.993945 | + | 0.109881i | \(0.0350469\pi\) | |||||||
\(888\) | −6.06218 | − | 3.50000i | −0.203433 | − | 0.117452i | ||||
\(889\) | 8.00000 | 0.268311 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −3.00000 | + | 5.19615i | −0.100504 | + | 0.174078i | ||||
\(892\) | − | 8.00000i | − | 0.267860i | ||||||
\(893\) | −10.3923 | − | 6.00000i | −0.347765 | − | 0.200782i | ||||
\(894\) | 4.50000 | + | 7.79423i | 0.150503 | + | 0.260678i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −2.00000 | −0.0668153 | ||||||||
\(897\) | 20.7846 | + | 6.00000i | 0.693978 | + | 0.200334i | ||||
\(898\) | − | 18.0000i | − | 0.600668i | ||||||
\(899\) | −6.00000 | − | 10.3923i | −0.200111 | − | 0.346603i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 4.50000 | − | 7.79423i | 0.149917 | − | 0.259663i | ||||
\(902\) | − | 18.0000i | − | 0.599334i | ||||||
\(903\) | 17.3205 | + | 10.0000i | 0.576390 | + | 0.332779i | ||||
\(904\) | 1.50000 | − | 2.59808i | 0.0498893 | − | 0.0864107i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −5.00000 | + | 8.66025i | −0.166114 | + | 0.287718i | ||||
\(907\) | −38.1051 | + | 22.0000i | −1.26526 | + | 0.730498i | −0.974087 | − | 0.226173i | \(-0.927379\pi\) |
−0.291172 | + | 0.956671i | \(0.594045\pi\) | |||||||
\(908\) | 15.5885 | − | 9.00000i | 0.517321 | − | 0.298675i | ||||
\(909\) | −15.0000 | −0.497519 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −24.0000 | −0.795155 | −0.397578 | − | 0.917568i | \(-0.630149\pi\) | ||||
−0.397578 | + | 0.917568i | \(0.630149\pi\) | |||||||
\(912\) | −1.73205 | + | 1.00000i | −0.0573539 | + | 0.0331133i | ||||
\(913\) | −31.1769 | + | 18.0000i | −1.03181 | + | 0.595713i | ||||
\(914\) | −5.50000 | + | 9.52628i | −0.181924 | + | 0.315101i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 11.0000 | − | 19.0526i | 0.363450 | − | 0.629514i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 3.00000i | 0.0990148i | ||||||||
\(919\) | −8.00000 | + | 13.8564i | −0.263896 | + | 0.457081i | −0.967274 | − | 0.253735i | \(-0.918341\pi\) |
0.703378 | + | 0.710816i | \(0.251674\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 5.00000 | + | 8.66025i | 0.164756 | + | 0.285365i | ||||
\(922\) | 15.0000i | 0.493999i | ||||||||
\(923\) | 20.7846 | + | 6.00000i | 0.684134 | + | 0.197492i | ||||
\(924\) | −12.0000 | −0.394771 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 19.0000 | + | 32.9090i | 0.624379 | + | 1.08146i | ||||
\(927\) | 12.1244 | + | 7.00000i | 0.398216 | + | 0.229910i | ||||
\(928\) | − | 3.00000i | − | 0.0984798i | ||||||
\(929\) | 16.5000 | − | 28.5788i | 0.541347 | − | 0.937641i | −0.457480 | − | 0.889220i | \(-0.651248\pi\) |
0.998827 | − | 0.0484211i | \(-0.0154190\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −6.00000 | −0.196642 | ||||||||
\(932\) | −5.19615 | − | 3.00000i | −0.170206 | − | 0.0982683i | ||||
\(933\) | −25.9808 | + | 15.0000i | −0.850572 | + | 0.491078i | ||||
\(934\) | 9.00000 | + | 15.5885i | 0.294489 | + | 0.510070i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −1.00000 | + | 3.46410i | −0.0326860 | + | 0.113228i | ||||
\(937\) | − | 47.0000i | − | 1.53542i | −0.640796 | − | 0.767712i | \(-0.721395\pi\) | ||
0.640796 | − | 0.767712i | \(-0.278605\pi\) | |||||||
\(938\) | 17.3205 | − | 10.0000i | 0.565535 | − | 0.326512i | ||||
\(939\) | −5.00000 | − | 8.66025i | −0.163169 | − | 0.282617i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 42.0000 | 1.36916 | 0.684580 | − | 0.728937i | \(-0.259985\pi\) | ||||
0.684580 | + | 0.728937i | \(0.259985\pi\) | |||||||
\(942\) | −4.33013 | − | 2.50000i | −0.141083 | − | 0.0814544i | ||||
\(943\) | −15.5885 | − | 9.00000i | −0.507630 | − | 0.293080i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −30.0000 | − | 51.9615i | −0.975384 | − | 1.68941i | ||||
\(947\) | −20.7846 | + | 12.0000i | −0.675409 | + | 0.389948i | −0.798123 | − | 0.602494i | \(-0.794174\pi\) |
0.122714 | + | 0.992442i | \(0.460840\pi\) | |||||||
\(948\) | − | 4.00000i | − | 0.129914i | ||||||
\(949\) | −45.5000 | + | 11.2583i | −1.47699 | + | 0.365461i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −1.50000 | − | 2.59808i | −0.0486408 | − | 0.0842484i | ||||
\(952\) | −5.19615 | + | 3.00000i | −0.168408 | + | 0.0972306i | ||||
\(953\) | −46.7654 | − | 27.0000i | −1.51488 | − | 0.874616i | −0.999848 | − | 0.0174443i | \(-0.994447\pi\) |
−0.515031 | − | 0.857171i | \(-0.672220\pi\) | |||||||
\(954\) | 3.00000 | 0.0971286 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −3.00000 | + | 5.19615i | −0.0970269 | + | 0.168056i | ||||
\(957\) | − | 18.0000i | − | 0.581857i | ||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 9.00000 | + | 15.5885i | 0.290625 | + | 0.503378i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −15.0000 | −0.483871 | ||||||||
\(962\) | −24.2487 | − | 7.00000i | −0.781810 | − | 0.225689i | ||||
\(963\) | − | 6.00000i | − | 0.193347i | ||||||
\(964\) | −0.500000 | − | 0.866025i | −0.0161039 | − | 0.0278928i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −6.00000 | + | 10.3923i | −0.193047 | + | 0.334367i | ||||
\(967\) | 22.0000i | 0.707472i | 0.935345 | + | 0.353736i | \(0.115089\pi\) | ||||
−0.935345 | + | 0.353736i | \(0.884911\pi\) | |||||||
\(968\) | 21.6506 | + | 12.5000i | 0.695878 | + | 0.401765i | ||||
\(969\) | −3.00000 | + | 5.19615i | −0.0963739 | + | 0.166924i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −30.0000 | + | 51.9615i | −0.962746 | + | 1.66752i | −0.247193 | + | 0.968966i | \(0.579508\pi\) |
−0.715553 | + | 0.698558i | \(0.753825\pi\) | |||||||
\(972\) | −0.866025 | + | 0.500000i | −0.0277778 | + | 0.0160375i | ||||
\(973\) | −6.92820 | + | 4.00000i | −0.222108 | + | 0.128234i | ||||
\(974\) | 2.00000 | 0.0640841 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −7.00000 | −0.224065 | ||||||||
\(977\) | 2.59808 | − | 1.50000i | 0.0831198 | − | 0.0479893i | −0.457864 | − | 0.889022i | \(-0.651385\pi\) |
0.540984 | + | 0.841033i | \(0.318052\pi\) | |||||||
\(978\) | 3.46410 | − | 2.00000i | 0.110770 | − | 0.0639529i | ||||
\(979\) | 54.0000 | − | 93.5307i | 1.72585 | − | 2.98926i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −7.00000 | + | 12.1244i | −0.223493 | + | 0.387101i | ||||
\(982\) | 15.5885 | + | 9.00000i | 0.497448 | + | 0.287202i | ||||
\(983\) | − | 36.0000i | − | 1.14822i | −0.818778 | − | 0.574111i | \(-0.805348\pi\) | ||
0.818778 | − | 0.574111i | \(-0.194652\pi\) | |||||||
\(984\) | 1.50000 | − | 2.59808i | 0.0478183 | − | 0.0828236i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −4.50000 | − | 7.79423i | −0.143309 | − | 0.248219i | ||||
\(987\) | − | 12.0000i | − | 0.381964i | ||||||
\(988\) | −5.19615 | + | 5.00000i | −0.165312 | + | 0.159071i | ||||
\(989\) | −60.0000 | −1.90789 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −19.0000 | − | 32.9090i | −0.603555 | − | 1.04539i | −0.992278 | − | 0.124033i | \(-0.960417\pi\) |
0.388723 | − | 0.921355i | \(-0.372916\pi\) | |||||||
\(992\) | 3.46410 | + | 2.00000i | 0.109985 | + | 0.0635001i | ||||
\(993\) | − | 4.00000i | − | 0.126936i | ||||||
\(994\) | −6.00000 | + | 10.3923i | −0.190308 | + | 0.329624i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −6.00000 | −0.190117 | ||||||||
\(997\) | 4.33013 | + | 2.50000i | 0.137136 | + | 0.0791758i | 0.566999 | − | 0.823719i | \(-0.308104\pi\) |
−0.429862 | + | 0.902895i | \(0.641438\pi\) | |||||||
\(998\) | −27.7128 | + | 16.0000i | −0.877234 | + | 0.506471i | ||||
\(999\) | −3.50000 | − | 6.06218i | −0.110735 | − | 0.191799i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))