Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1053,2,Mod(352,1053)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1053, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1053.352");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1053 = 3^{4} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1053.e (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.40824733284\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} + 2x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 39) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 352.1 | ||
Root | \(-0.707107 - 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1053.352 |
Dual form | 1053.2.e.e.703.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1053\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(730\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.20711 | − | 2.09077i | −0.853553 | − | 1.47840i | −0.877981 | − | 0.478696i | \(-0.841110\pi\) |
0.0244272 | − | 0.999702i | \(-0.492224\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.91421 | + | 3.31552i | −0.957107 | + | 1.65776i | ||||
\(5\) | 1.41421 | − | 2.44949i | 0.632456 | − | 1.09545i | −0.354593 | − | 0.935021i | \(-0.615380\pi\) |
0.987048 | − | 0.160424i | \(-0.0512862\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.41421 | + | 2.44949i | 0.534522 | + | 0.925820i | 0.999186 | + | 0.0403329i | \(0.0128419\pi\) |
−0.464664 | + | 0.885487i | \(0.653825\pi\) | |||||||
\(8\) | 4.41421 | 1.56066 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −6.82843 | −2.15934 | ||||||||
\(11\) | −1.00000 | − | 1.73205i | −0.301511 | − | 0.522233i | 0.674967 | − | 0.737848i | \(-0.264158\pi\) |
−0.976478 | + | 0.215615i | \(0.930824\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.500000 | − | 0.866025i | 0.138675 | − | 0.240192i | ||||
\(14\) | 3.41421 | − | 5.91359i | 0.912487 | − | 1.58047i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.50000 | − | 2.59808i | −0.375000 | − | 0.649519i | ||||
\(17\) | 3.65685 | 0.886917 | 0.443459 | − | 0.896295i | \(-0.353751\pi\) | ||||
0.443459 | + | 0.896295i | \(0.353751\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.82843 | 0.648886 | 0.324443 | − | 0.945905i | \(-0.394823\pi\) | ||||
0.324443 | + | 0.945905i | \(0.394823\pi\) | |||||||
\(20\) | 5.41421 | + | 9.37769i | 1.21065 | + | 2.09692i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.41421 | + | 4.18154i | −0.514712 | + | 0.891507i | ||||
\(23\) | −2.00000 | + | 3.46410i | −0.417029 | + | 0.722315i | −0.995639 | − | 0.0932891i | \(-0.970262\pi\) |
0.578610 | + | 0.815604i | \(0.303595\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.50000 | − | 2.59808i | −0.300000 | − | 0.519615i | ||||
\(26\) | −2.41421 | −0.473466 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −10.8284 | −2.04638 | ||||||||
\(29\) | 1.00000 | + | 1.73205i | 0.185695 | + | 0.321634i | 0.943811 | − | 0.330487i | \(-0.107213\pi\) |
−0.758115 | + | 0.652121i | \(0.773880\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.41421 | − | 5.91359i | 0.613211 | − | 1.06211i | −0.377485 | − | 0.926016i | \(-0.623211\pi\) |
0.990696 | − | 0.136097i | \(-0.0434557\pi\) | |||||||
\(32\) | 0.792893 | − | 1.37333i | 0.140165 | − | 0.242773i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −4.41421 | − | 7.64564i | −0.757031 | − | 1.31122i | ||||
\(35\) | 8.00000 | 1.35225 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.65685 | 0.601183 | 0.300592 | − | 0.953753i | \(-0.402816\pi\) | ||||
0.300592 | + | 0.953753i | \(0.402816\pi\) | |||||||
\(38\) | −3.41421 | − | 5.91359i | −0.553859 | − | 0.959311i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 6.24264 | − | 10.8126i | 0.987048 | − | 1.70962i | ||||
\(41\) | 5.41421 | − | 9.37769i | 0.845558 | − | 1.46455i | −0.0395775 | − | 0.999217i | \(-0.512601\pi\) |
0.885136 | − | 0.465333i | \(-0.154065\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.82843 | − | 8.36308i | −0.736328 | − | 1.27536i | −0.954138 | − | 0.299367i | \(-0.903225\pi\) |
0.217810 | − | 0.975991i | \(-0.430109\pi\) | |||||||
\(44\) | 7.65685 | 1.15431 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 9.65685 | 1.42383 | ||||||||
\(47\) | −0.171573 | − | 0.297173i | −0.0250265 | − | 0.0433471i | 0.853241 | − | 0.521517i | \(-0.174634\pi\) |
−0.878267 | + | 0.478170i | \(0.841300\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.500000 | + | 0.866025i | −0.0714286 | + | 0.123718i | ||||
\(50\) | −3.62132 | + | 6.27231i | −0.512132 | + | 0.887039i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.91421 | + | 3.31552i | 0.265454 | + | 0.459779i | ||||
\(53\) | 2.00000 | 0.274721 | 0.137361 | − | 0.990521i | \(-0.456138\pi\) | ||||
0.137361 | + | 0.990521i | \(0.456138\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −5.65685 | −0.762770 | ||||||||
\(56\) | 6.24264 | + | 10.8126i | 0.834208 | + | 1.44489i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 2.41421 | − | 4.18154i | 0.317002 | − | 0.549063i | ||||
\(59\) | −1.82843 | + | 3.16693i | −0.238041 | + | 0.412299i | −0.960152 | − | 0.279478i | \(-0.909839\pi\) |
0.722111 | + | 0.691777i | \(0.243172\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.65685 | + | 8.06591i | 0.596249 | + | 1.03273i | 0.993369 | + | 0.114967i | \(0.0366763\pi\) |
−0.397120 | + | 0.917767i | \(0.629990\pi\) | |||||||
\(62\) | −16.4853 | −2.09363 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −9.82843 | −1.22855 | ||||||||
\(65\) | −1.41421 | − | 2.44949i | −0.175412 | − | 0.303822i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.585786 | + | 1.01461i | −0.0715652 | + | 0.123955i | −0.899587 | − | 0.436741i | \(-0.856133\pi\) |
0.828022 | + | 0.560695i | \(0.189466\pi\) | |||||||
\(68\) | −7.00000 | + | 12.1244i | −0.848875 | + | 1.47029i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −9.65685 | − | 16.7262i | −1.15421 | − | 1.99916i | ||||
\(71\) | −2.00000 | −0.237356 | −0.118678 | − | 0.992933i | \(-0.537866\pi\) | ||||
−0.118678 | + | 0.992933i | \(0.537866\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 11.6569 | 1.36433 | 0.682166 | − | 0.731198i | \(-0.261038\pi\) | ||||
0.682166 | + | 0.731198i | \(0.261038\pi\) | |||||||
\(74\) | −4.41421 | − | 7.64564i | −0.513142 | − | 0.888788i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −5.41421 | + | 9.37769i | −0.621053 | + | 1.07570i | ||||
\(77\) | 2.82843 | − | 4.89898i | 0.322329 | − | 0.558291i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.65685 | − | 9.79796i | −0.636446 | − | 1.10236i | −0.986207 | − | 0.165518i | \(-0.947071\pi\) |
0.349761 | − | 0.936839i | \(-0.386263\pi\) | |||||||
\(80\) | −8.48528 | −0.948683 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −26.1421 | −2.88692 | ||||||||
\(83\) | −3.82843 | − | 6.63103i | −0.420224 | − | 0.727850i | 0.575737 | − | 0.817635i | \(-0.304715\pi\) |
−0.995961 | + | 0.0897850i | \(0.971382\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.17157 | − | 8.95743i | 0.560936 | − | 0.971569i | ||||
\(86\) | −11.6569 | + | 20.1903i | −1.25699 | + | 2.17717i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −4.41421 | − | 7.64564i | −0.470557 | − | 0.815028i | ||||
\(89\) | −9.17157 | −0.972185 | −0.486092 | − | 0.873907i | \(-0.661578\pi\) | ||||
−0.486092 | + | 0.873907i | \(0.661578\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.82843 | 0.296500 | ||||||||
\(92\) | −7.65685 | − | 13.2621i | −0.798282 | − | 1.38267i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.414214 | + | 0.717439i | −0.0427229 | + | 0.0739982i | ||||
\(95\) | 4.00000 | − | 6.92820i | 0.410391 | − | 0.710819i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.82843 | + | 6.63103i | 0.388718 | + | 0.673279i | 0.992277 | − | 0.124039i | \(-0.0395847\pi\) |
−0.603559 | + | 0.797318i | \(0.706251\pi\) | |||||||
\(98\) | 2.41421 | 0.243872 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 11.4853 | 1.14853 | ||||||||
\(101\) | −1.82843 | − | 3.16693i | −0.181935 | − | 0.315121i | 0.760604 | − | 0.649216i | \(-0.224903\pi\) |
−0.942540 | + | 0.334095i | \(0.891569\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −6.82843 | + | 11.8272i | −0.672825 | + | 1.16537i | 0.304275 | + | 0.952584i | \(0.401586\pi\) |
−0.977100 | + | 0.212783i | \(0.931747\pi\) | |||||||
\(104\) | 2.20711 | − | 3.82282i | 0.216425 | − | 0.374858i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.41421 | − | 4.18154i | −0.234489 | − | 0.406147i | ||||
\(107\) | −11.3137 | −1.09374 | −0.546869 | − | 0.837218i | \(-0.684180\pi\) | ||||
−0.546869 | + | 0.837218i | \(0.684180\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −17.3137 | −1.65835 | −0.829176 | − | 0.558987i | \(-0.811190\pi\) | ||||
−0.829176 | + | 0.558987i | \(0.811190\pi\) | |||||||
\(110\) | 6.82843 | + | 11.8272i | 0.651065 | + | 1.12768i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 4.24264 | − | 7.34847i | 0.400892 | − | 0.694365i | ||||
\(113\) | 8.65685 | − | 14.9941i | 0.814368 | − | 1.41053i | −0.0954122 | − | 0.995438i | \(-0.530417\pi\) |
0.909781 | − | 0.415090i | \(-0.136250\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.65685 | + | 9.79796i | 0.527504 | + | 0.913664i | ||||
\(116\) | −7.65685 | −0.710921 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 8.82843 | 0.812723 | ||||||||
\(119\) | 5.17157 | + | 8.95743i | 0.474077 | + | 0.821126i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.50000 | − | 6.06218i | 0.318182 | − | 0.551107i | ||||
\(122\) | 11.2426 | − | 19.4728i | 1.01786 | − | 1.76299i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 13.0711 | + | 22.6398i | 1.17382 | + | 2.03311i | ||||
\(125\) | 5.65685 | 0.505964 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −5.65685 | −0.501965 | −0.250982 | − | 0.967992i | \(-0.580754\pi\) | ||||
−0.250982 | + | 0.967992i | \(0.580754\pi\) | |||||||
\(128\) | 10.2782 | + | 17.8023i | 0.908471 | + | 1.57352i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −3.41421 | + | 5.91359i | −0.299446 | + | 0.518656i | ||||
\(131\) | −4.00000 | + | 6.92820i | −0.349482 | + | 0.605320i | −0.986157 | − | 0.165812i | \(-0.946976\pi\) |
0.636676 | + | 0.771132i | \(0.280309\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 4.00000 | + | 6.92820i | 0.346844 | + | 0.600751i | ||||
\(134\) | 2.82843 | 0.244339 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 16.1421 | 1.38418 | ||||||||
\(137\) | −2.58579 | − | 4.47871i | −0.220919 | − | 0.382642i | 0.734169 | − | 0.678967i | \(-0.237572\pi\) |
−0.955087 | + | 0.296325i | \(0.904239\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −7.65685 | + | 13.2621i | −0.649446 | + | 1.12487i | 0.333810 | + | 0.942641i | \(0.391666\pi\) |
−0.983255 | + | 0.182233i | \(0.941668\pi\) | |||||||
\(140\) | −15.3137 | + | 26.5241i | −1.29424 | + | 2.24170i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.41421 | + | 4.18154i | 0.202596 | + | 0.350907i | ||||
\(143\) | −2.00000 | −0.167248 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 5.65685 | 0.469776 | ||||||||
\(146\) | −14.0711 | − | 24.3718i | −1.16453 | − | 2.01702i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −7.00000 | + | 12.1244i | −0.575396 | + | 0.996616i | ||||
\(149\) | −7.41421 | + | 12.8418i | −0.607396 | + | 1.05204i | 0.384272 | + | 0.923220i | \(0.374453\pi\) |
−0.991668 | + | 0.128821i | \(0.958881\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 10.2426 | + | 17.7408i | 0.833534 | + | 1.44372i | 0.895218 | + | 0.445628i | \(0.147020\pi\) |
−0.0616840 | + | 0.998096i | \(0.519647\pi\) | |||||||
\(152\) | 12.4853 | 1.01269 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −13.6569 | −1.10050 | ||||||||
\(155\) | −9.65685 | − | 16.7262i | −0.775657 | − | 1.34348i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.00000 | − | 8.66025i | 0.399043 | − | 0.691164i | −0.594565 | − | 0.804048i | \(-0.702676\pi\) |
0.993608 | + | 0.112884i | \(0.0360089\pi\) | |||||||
\(158\) | −13.6569 | + | 23.6544i | −1.08648 | + | 1.88184i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.24264 | − | 3.88437i | −0.177296 | − | 0.307086i | ||||
\(161\) | −11.3137 | −0.891645 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 13.1716 | 1.03168 | 0.515839 | − | 0.856686i | \(-0.327480\pi\) | ||||
0.515839 | + | 0.856686i | \(0.327480\pi\) | |||||||
\(164\) | 20.7279 | + | 35.9018i | 1.61858 | + | 2.80346i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −9.24264 | + | 16.0087i | −0.717368 | + | 1.24252i | ||||
\(167\) | 3.82843 | − | 6.63103i | 0.296253 | − | 0.513125i | −0.679023 | − | 0.734117i | \(-0.737596\pi\) |
0.975275 | + | 0.220993i | \(0.0709296\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.500000 | − | 0.866025i | −0.0384615 | − | 0.0666173i | ||||
\(170\) | −24.9706 | −1.91515 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 36.9706 | 2.81898 | ||||||||
\(173\) | −0.171573 | − | 0.297173i | −0.0130444 | − | 0.0225936i | 0.859429 | − | 0.511254i | \(-0.170819\pi\) |
−0.872474 | + | 0.488661i | \(0.837486\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.24264 | − | 7.34847i | 0.320713 | − | 0.555492i | ||||
\(176\) | −3.00000 | + | 5.19615i | −0.226134 | + | 0.391675i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 11.0711 | + | 19.1757i | 0.829812 | + | 1.43728i | ||||
\(179\) | 0.686292 | 0.0512958 | 0.0256479 | − | 0.999671i | \(-0.491835\pi\) | ||||
0.0256479 | + | 0.999671i | \(0.491835\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 14.0000 | 1.04061 | 0.520306 | − | 0.853980i | \(-0.325818\pi\) | ||||
0.520306 | + | 0.853980i | \(0.325818\pi\) | |||||||
\(182\) | −3.41421 | − | 5.91359i | −0.253078 | − | 0.438345i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −8.82843 | + | 15.2913i | −0.650840 | + | 1.12729i | ||||
\(185\) | 5.17157 | − | 8.95743i | 0.380222 | − | 0.658563i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.65685 | − | 6.33386i | −0.267416 | − | 0.463178i | ||||
\(188\) | 1.31371 | 0.0958120 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −19.3137 | −1.40116 | ||||||||
\(191\) | −9.65685 | − | 16.7262i | −0.698745 | − | 1.21026i | −0.968902 | − | 0.247446i | \(-0.920409\pi\) |
0.270156 | − | 0.962817i | \(-0.412925\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 8.65685 | − | 14.9941i | 0.623134 | − | 1.07930i | −0.365765 | − | 0.930707i | \(-0.619192\pi\) |
0.988899 | − | 0.148592i | \(-0.0474742\pi\) | |||||||
\(194\) | 9.24264 | − | 16.0087i | 0.663583 | − | 1.14936i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.91421 | − | 3.31552i | −0.136730 | − | 0.236823i | ||||
\(197\) | 16.4853 | 1.17453 | 0.587264 | − | 0.809396i | \(-0.300205\pi\) | ||||
0.587264 | + | 0.809396i | \(0.300205\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 10.3431 | 0.733206 | 0.366603 | − | 0.930377i | \(-0.380521\pi\) | ||||
0.366603 | + | 0.930377i | \(0.380521\pi\) | |||||||
\(200\) | −6.62132 | − | 11.4685i | −0.468198 | − | 0.810943i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −4.41421 | + | 7.64564i | −0.310583 | + | 0.537946i | ||||
\(203\) | −2.82843 | + | 4.89898i | −0.198517 | + | 0.343841i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −15.3137 | − | 26.5241i | −1.06956 | − | 1.85252i | ||||
\(206\) | 32.9706 | 2.29717 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −3.00000 | −0.208013 | ||||||||
\(209\) | −2.82843 | − | 4.89898i | −0.195646 | − | 0.338869i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 6.00000 | − | 10.3923i | 0.413057 | − | 0.715436i | −0.582165 | − | 0.813070i | \(-0.697794\pi\) |
0.995222 | + | 0.0976347i | \(0.0311277\pi\) | |||||||
\(212\) | −3.82843 | + | 6.63103i | −0.262937 | + | 0.455421i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 13.6569 | + | 23.6544i | 0.933563 | + | 1.61698i | ||||
\(215\) | −27.3137 | −1.86278 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 19.3137 | 1.31110 | ||||||||
\(218\) | 20.8995 | + | 36.1990i | 1.41549 | + | 2.45170i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 10.8284 | − | 18.7554i | 0.730052 | − | 1.26449i | ||||
\(221\) | 1.82843 | − | 3.16693i | 0.122993 | − | 0.213031i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −2.24264 | − | 3.88437i | −0.150178 | − | 0.260116i | 0.781115 | − | 0.624388i | \(-0.214651\pi\) |
−0.931293 | + | 0.364271i | \(0.881318\pi\) | |||||||
\(224\) | 4.48528 | 0.299685 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −41.7990 | −2.78043 | ||||||||
\(227\) | 2.65685 | + | 4.60181i | 0.176342 | + | 0.305433i | 0.940625 | − | 0.339448i | \(-0.110240\pi\) |
−0.764283 | + | 0.644881i | \(0.776907\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −10.6569 | + | 18.4582i | −0.704225 | + | 1.21975i | 0.262746 | + | 0.964865i | \(0.415372\pi\) |
−0.966971 | + | 0.254888i | \(0.917961\pi\) | |||||||
\(230\) | 13.6569 | − | 23.6544i | 0.900506 | − | 1.55972i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 4.41421 | + | 7.64564i | 0.289807 | + | 0.501961i | ||||
\(233\) | 26.9706 | 1.76690 | 0.883450 | − | 0.468525i | \(-0.155214\pi\) | ||||
0.883450 | + | 0.468525i | \(0.155214\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.970563 | −0.0633125 | ||||||||
\(236\) | −7.00000 | − | 12.1244i | −0.455661 | − | 0.789228i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 12.4853 | − | 21.6251i | 0.809301 | − | 1.40175i | ||||
\(239\) | 1.00000 | − | 1.73205i | 0.0646846 | − | 0.112037i | −0.831869 | − | 0.554971i | \(-0.812729\pi\) |
0.896554 | + | 0.442934i | \(0.146063\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −5.82843 | − | 10.0951i | −0.375442 | − | 0.650285i | 0.614951 | − | 0.788565i | \(-0.289176\pi\) |
−0.990393 | + | 0.138281i | \(0.955842\pi\) | |||||||
\(242\) | −16.8995 | −1.08634 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −35.6569 | −2.28270 | ||||||||
\(245\) | 1.41421 | + | 2.44949i | 0.0903508 | + | 0.156492i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.41421 | − | 2.44949i | 0.0899843 | − | 0.155857i | ||||
\(248\) | 15.0711 | − | 26.1039i | 0.957014 | − | 1.65760i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −6.82843 | − | 11.8272i | −0.431868 | − | 0.748017i | ||||
\(251\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 8.00000 | 0.502956 | ||||||||
\(254\) | 6.82843 | + | 11.8272i | 0.428454 | + | 0.742103i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 14.9853 | − | 25.9553i | 0.936580 | − | 1.62220i | ||||
\(257\) | −7.82843 | + | 13.5592i | −0.488324 | + | 0.845802i | −0.999910 | − | 0.0134304i | \(-0.995725\pi\) |
0.511586 | + | 0.859232i | \(0.329058\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 5.17157 | + | 8.95743i | 0.321346 | + | 0.556587i | ||||
\(260\) | 10.8284 | 0.671551 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 19.3137 | 1.19320 | ||||||||
\(263\) | 6.00000 | + | 10.3923i | 0.369976 | + | 0.640817i | 0.989561 | − | 0.144112i | \(-0.0460326\pi\) |
−0.619586 | + | 0.784929i | \(0.712699\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.82843 | − | 4.89898i | 0.173749 | − | 0.300942i | ||||
\(266\) | 9.65685 | − | 16.7262i | 0.592100 | − | 1.02555i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −2.24264 | − | 3.88437i | −0.136991 | − | 0.237276i | ||||
\(269\) | −18.0000 | −1.09748 | −0.548740 | − | 0.835993i | \(-0.684892\pi\) | ||||
−0.548740 | + | 0.835993i | \(0.684892\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 11.7990 | 0.716738 | 0.358369 | − | 0.933580i | \(-0.383333\pi\) | ||||
0.358369 | + | 0.933580i | \(0.383333\pi\) | |||||||
\(272\) | −5.48528 | − | 9.50079i | −0.332594 | − | 0.576070i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −6.24264 | + | 10.8126i | −0.377132 | + | 0.653211i | ||||
\(275\) | −3.00000 | + | 5.19615i | −0.180907 | + | 0.313340i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.00000 | + | 1.73205i | 0.0600842 | + | 0.104069i | 0.894503 | − | 0.447062i | \(-0.147530\pi\) |
−0.834419 | + | 0.551131i | \(0.814196\pi\) | |||||||
\(278\) | 36.9706 | 2.21735 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 35.3137 | 2.11040 | ||||||||
\(281\) | 13.4142 | + | 23.2341i | 0.800225 | + | 1.38603i | 0.919468 | + | 0.393165i | \(0.128620\pi\) |
−0.119243 | + | 0.992865i | \(0.538047\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.48528 | − | 4.30463i | 0.147735 | − | 0.255884i | −0.782655 | − | 0.622455i | \(-0.786135\pi\) |
0.930390 | + | 0.366572i | \(0.119469\pi\) | |||||||
\(284\) | 3.82843 | − | 6.63103i | 0.227175 | − | 0.393479i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.41421 | + | 4.18154i | 0.142755 | + | 0.247260i | ||||
\(287\) | 30.6274 | 1.80788 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3.62742 | −0.213377 | ||||||||
\(290\) | −6.82843 | − | 11.8272i | −0.400979 | − | 0.694516i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −22.3137 | + | 38.6485i | −1.30581 | + | 2.26173i | ||||
\(293\) | −13.0711 | + | 22.6398i | −0.763620 | + | 1.32263i | 0.177353 | + | 0.984147i | \(0.443247\pi\) |
−0.940973 | + | 0.338481i | \(0.890087\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 5.17157 | + | 8.95743i | 0.301101 | + | 0.521522i | ||||
\(296\) | 16.1421 | 0.938243 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 35.7990 | 2.07378 | ||||||||
\(299\) | 2.00000 | + | 3.46410i | 0.115663 | + | 0.200334i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 13.6569 | − | 23.6544i | 0.787168 | − | 1.36341i | ||||
\(302\) | 24.7279 | − | 42.8300i | 1.42293 | − | 2.46459i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −4.24264 | − | 7.34847i | −0.243332 | − | 0.421464i | ||||
\(305\) | 26.3431 | 1.50840 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −17.1716 | −0.980033 | −0.490017 | − | 0.871713i | \(-0.663009\pi\) | ||||
−0.490017 | + | 0.871713i | \(0.663009\pi\) | |||||||
\(308\) | 10.8284 | + | 18.7554i | 0.617007 | + | 1.06869i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −23.3137 | + | 40.3805i | −1.32413 | + | 2.29346i | ||||
\(311\) | 17.3137 | − | 29.9882i | 0.981770 | − | 1.70048i | 0.326279 | − | 0.945274i | \(-0.394205\pi\) |
0.655492 | − | 0.755203i | \(-0.272461\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.00000 | − | 5.19615i | −0.169570 | − | 0.293704i | 0.768699 | − | 0.639611i | \(-0.220905\pi\) |
−0.938269 | + | 0.345907i | \(0.887571\pi\) | |||||||
\(314\) | −24.1421 | −1.36242 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 43.3137 | 2.43659 | ||||||||
\(317\) | −4.24264 | − | 7.34847i | −0.238290 | − | 0.412731i | 0.721933 | − | 0.691963i | \(-0.243254\pi\) |
−0.960224 | + | 0.279231i | \(0.909920\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.00000 | − | 3.46410i | 0.111979 | − | 0.193952i | ||||
\(320\) | −13.8995 | + | 24.0746i | −0.777005 | + | 1.34581i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 13.6569 | + | 23.6544i | 0.761067 | + | 1.31821i | ||||
\(323\) | 10.3431 | 0.575508 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3.00000 | −0.166410 | ||||||||
\(326\) | −15.8995 | − | 27.5387i | −0.880592 | − | 1.52523i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 23.8995 | − | 41.3951i | 1.31963 | − | 2.28566i | ||||
\(329\) | 0.485281 | − | 0.840532i | 0.0267544 | − | 0.0463400i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.07107 | + | 1.85514i | 0.0588712 | + | 0.101968i | 0.893959 | − | 0.448149i | \(-0.147917\pi\) |
−0.835088 | + | 0.550117i | \(0.814583\pi\) | |||||||
\(332\) | 29.3137 | 1.60880 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −18.4853 | −1.01147 | ||||||||
\(335\) | 1.65685 | + | 2.86976i | 0.0905236 | + | 0.156792i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 6.65685 | − | 11.5300i | 0.362622 | − | 0.628080i | −0.625770 | − | 0.780008i | \(-0.715215\pi\) |
0.988392 | + | 0.151928i | \(0.0485483\pi\) | |||||||
\(338\) | −1.20711 | + | 2.09077i | −0.0656580 | + | 0.113723i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 19.7990 | + | 34.2929i | 1.07375 | + | 1.85979i | ||||
\(341\) | −13.6569 | −0.739560 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 16.9706 | 0.916324 | ||||||||
\(344\) | −21.3137 | − | 36.9164i | −1.14916 | − | 1.99040i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.414214 | + | 0.717439i | −0.0222683 | + | 0.0385698i | ||||
\(347\) | −15.6569 | + | 27.1185i | −0.840504 | + | 1.45580i | 0.0489652 | + | 0.998800i | \(0.484408\pi\) |
−0.889469 | + | 0.456995i | \(0.848926\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.82843 | + | 6.63103i | 0.204931 | + | 0.354951i | 0.950111 | − | 0.311913i | \(-0.100970\pi\) |
−0.745180 | + | 0.666864i | \(0.767636\pi\) | |||||||
\(350\) | −20.4853 | −1.09498 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −3.17157 | −0.169045 | ||||||||
\(353\) | 8.72792 | + | 15.1172i | 0.464540 | + | 0.804608i | 0.999181 | − | 0.0404722i | \(-0.0128862\pi\) |
−0.534640 | + | 0.845080i | \(0.679553\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.82843 | + | 4.89898i | −0.150117 | + | 0.260011i | ||||
\(356\) | 17.5563 | − | 30.4085i | 0.930485 | − | 1.61165i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.828427 | − | 1.43488i | −0.0437837 | − | 0.0758357i | ||||
\(359\) | −1.02944 | −0.0543316 | −0.0271658 | − | 0.999631i | \(-0.508648\pi\) | ||||
−0.0271658 | + | 0.999631i | \(0.508648\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −11.0000 | −0.578947 | ||||||||
\(362\) | −16.8995 | − | 29.2708i | −0.888218 | − | 1.53844i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −5.41421 | + | 9.37769i | −0.283782 | + | 0.491525i | ||||
\(365\) | 16.4853 | − | 28.5533i | 0.862879 | − | 1.49455i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 12.0000 | + | 20.7846i | 0.626395 | + | 1.08495i | 0.988269 | + | 0.152721i | \(0.0488036\pi\) |
−0.361874 | + | 0.932227i | \(0.617863\pi\) | |||||||
\(368\) | 12.0000 | 0.625543 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −24.9706 | −1.29816 | ||||||||
\(371\) | 2.82843 | + | 4.89898i | 0.146845 | + | 0.254342i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5.00000 | + | 8.66025i | −0.258890 | + | 0.448411i | −0.965945 | − | 0.258748i | \(-0.916690\pi\) |
0.707055 | + | 0.707159i | \(0.250023\pi\) | |||||||
\(374\) | −8.82843 | + | 15.2913i | −0.456507 | + | 0.790693i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.757359 | − | 1.31178i | −0.0390578 | − | 0.0676501i | ||||
\(377\) | 2.00000 | 0.103005 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −16.4853 | −0.846792 | −0.423396 | − | 0.905945i | \(-0.639162\pi\) | ||||
−0.423396 | + | 0.905945i | \(0.639162\pi\) | |||||||
\(380\) | 15.3137 | + | 26.5241i | 0.785577 | + | 1.36066i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −23.3137 | + | 40.3805i | −1.19283 | + | 2.06605i | ||||
\(383\) | −1.48528 | + | 2.57258i | −0.0758943 | + | 0.131453i | −0.901475 | − | 0.432832i | \(-0.857515\pi\) |
0.825581 | + | 0.564284i | \(0.190848\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −8.00000 | − | 13.8564i | −0.407718 | − | 0.706188i | ||||
\(386\) | −41.7990 | −2.12751 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −29.3137 | −1.48818 | ||||||||
\(389\) | 3.48528 | + | 6.03668i | 0.176711 | + | 0.306072i | 0.940752 | − | 0.339095i | \(-0.110121\pi\) |
−0.764041 | + | 0.645167i | \(0.776788\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −7.31371 | + | 12.6677i | −0.369870 | + | 0.640634i | ||||
\(392\) | −2.20711 | + | 3.82282i | −0.111476 | + | 0.193082i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −19.8995 | − | 34.4669i | −1.00252 | − | 1.73642i | ||||
\(395\) | −32.0000 | −1.61009 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.97056 | −0.149088 | −0.0745441 | − | 0.997218i | \(-0.523750\pi\) | ||||
−0.0745441 | + | 0.997218i | \(0.523750\pi\) | |||||||
\(398\) | −12.4853 | − | 21.6251i | −0.625831 | − | 1.08397i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.50000 | + | 7.79423i | −0.225000 | + | 0.389711i | ||||
\(401\) | −1.07107 | + | 1.85514i | −0.0534866 | + | 0.0926415i | −0.891529 | − | 0.452964i | \(-0.850367\pi\) |
0.838042 | + | 0.545605i | \(0.183700\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.41421 | − | 5.91359i | −0.170074 | − | 0.294577i | ||||
\(404\) | 14.0000 | 0.696526 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 13.6569 | 0.677778 | ||||||||
\(407\) | −3.65685 | − | 6.33386i | −0.181264 | − | 0.313958i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.514719 | − | 0.891519i | 0.0254512 | − | 0.0440828i | −0.853019 | − | 0.521879i | \(-0.825231\pi\) |
0.878470 | + | 0.477797i | \(0.158564\pi\) | |||||||
\(410\) | −36.9706 | + | 64.0349i | −1.82585 | + | 3.16246i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −26.1421 | − | 45.2795i | −1.28793 | − | 2.23076i | ||||
\(413\) | −10.3431 | −0.508953 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −21.6569 | −1.06309 | ||||||||
\(416\) | −0.792893 | − | 1.37333i | −0.0388748 | − | 0.0673331i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −6.82843 | + | 11.8272i | −0.333989 | + | 0.578486i | ||||
\(419\) | −15.3137 | + | 26.5241i | −0.748124 | + | 1.29579i | 0.200597 | + | 0.979674i | \(0.435712\pi\) |
−0.948721 | + | 0.316114i | \(0.897622\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7.34315 | − | 12.7187i | −0.357883 | − | 0.619872i | 0.629724 | − | 0.776819i | \(-0.283168\pi\) |
−0.987607 | + | 0.156947i | \(0.949835\pi\) | |||||||
\(422\) | −28.9706 | −1.41026 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 8.82843 | 0.428746 | ||||||||
\(425\) | −5.48528 | − | 9.50079i | −0.266075 | − | 0.460856i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −13.1716 | + | 22.8138i | −0.637417 | + | 1.10404i | ||||
\(428\) | 21.6569 | − | 37.5108i | 1.04682 | − | 1.81315i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 32.9706 | + | 57.1067i | 1.58998 | + | 2.75393i | ||||
\(431\) | −19.6569 | −0.946837 | −0.473419 | − | 0.880838i | \(-0.656980\pi\) | ||||
−0.473419 | + | 0.880838i | \(0.656980\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 1.31371 | 0.0631328 | 0.0315664 | − | 0.999502i | \(-0.489950\pi\) | ||||
0.0315664 | + | 0.999502i | \(0.489950\pi\) | |||||||
\(434\) | −23.3137 | − | 40.3805i | −1.11909 | − | 1.93833i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 33.1421 | − | 57.4039i | 1.58722 | − | 2.74915i | ||||
\(437\) | −5.65685 | + | 9.79796i | −0.270604 | + | 0.468700i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 8.48528 | + | 14.6969i | 0.404980 | + | 0.701447i | 0.994319 | − | 0.106439i | \(-0.0339450\pi\) |
−0.589339 | + | 0.807886i | \(0.700612\pi\) | |||||||
\(440\) | −24.9706 | −1.19042 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −8.82843 | −0.419925 | ||||||||
\(443\) | 20.9706 | + | 36.3221i | 0.996342 | + | 1.72571i | 0.572182 | + | 0.820126i | \(0.306097\pi\) |
0.424159 | + | 0.905588i | \(0.360570\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −12.9706 | + | 22.4657i | −0.614864 | + | 1.06498i | ||||
\(446\) | −5.41421 | + | 9.37769i | −0.256370 | + | 0.444047i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −13.8995 | − | 24.0746i | −0.656689 | − | 1.13742i | ||||
\(449\) | −7.79899 | −0.368057 | −0.184029 | − | 0.982921i | \(-0.558914\pi\) | ||||
−0.184029 | + | 0.982921i | \(0.558914\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −21.6569 | −1.01978 | ||||||||
\(452\) | 33.1421 | + | 57.4039i | 1.55887 | + | 2.70005i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 6.41421 | − | 11.1097i | 0.301034 | − | 0.521406i | ||||
\(455\) | 4.00000 | − | 6.92820i | 0.187523 | − | 0.324799i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.82843 | − | 3.16693i | −0.0855302 | − | 0.148143i | 0.820087 | − | 0.572239i | \(-0.193925\pi\) |
−0.905617 | + | 0.424096i | \(0.860592\pi\) | |||||||
\(458\) | 51.4558 | 2.40437 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −43.3137 | −2.01951 | ||||||||
\(461\) | 5.41421 | + | 9.37769i | 0.252165 | + | 0.436763i | 0.964122 | − | 0.265461i | \(-0.0855241\pi\) |
−0.711957 | + | 0.702223i | \(0.752191\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.75736 | − | 6.50794i | 0.174619 | − | 0.302449i | −0.765410 | − | 0.643543i | \(-0.777464\pi\) |
0.940029 | + | 0.341093i | \(0.110797\pi\) | |||||||
\(464\) | 3.00000 | − | 5.19615i | 0.139272 | − | 0.241225i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −32.5563 | − | 56.3893i | −1.50814 | − | 2.61218i | ||||
\(467\) | 8.00000 | 0.370196 | 0.185098 | − | 0.982720i | \(-0.440740\pi\) | ||||
0.185098 | + | 0.982720i | \(0.440740\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −3.31371 | −0.153013 | ||||||||
\(470\) | 1.17157 | + | 2.02922i | 0.0540406 | + | 0.0936011i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −8.07107 | + | 13.9795i | −0.371501 | + | 0.643459i | ||||
\(473\) | −9.65685 | + | 16.7262i | −0.444023 | + | 0.769070i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.24264 | − | 7.34847i | −0.194666 | − | 0.337171i | ||||
\(476\) | −39.5980 | −1.81497 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −4.82843 | −0.220847 | ||||||||
\(479\) | 1.34315 | + | 2.32640i | 0.0613699 | + | 0.106296i | 0.895078 | − | 0.445910i | \(-0.147120\pi\) |
−0.833708 | + | 0.552205i | \(0.813786\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.82843 | − | 3.16693i | 0.0833691 | − | 0.144400i | ||||
\(482\) | −14.0711 | + | 24.3718i | −0.640920 | + | 1.11011i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 13.3995 | + | 23.2086i | 0.609068 | + | 1.05494i | ||||
\(485\) | 21.6569 | 0.983387 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 31.7990 | 1.44095 | 0.720475 | − | 0.693481i | \(-0.243924\pi\) | ||||
0.720475 | + | 0.693481i | \(0.243924\pi\) | |||||||
\(488\) | 20.5563 | + | 35.6046i | 0.930542 | + | 1.61175i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 3.41421 | − | 5.91359i | 0.154238 | − | 0.267149i | ||||
\(491\) | −7.31371 | + | 12.6677i | −0.330063 | + | 0.571686i | −0.982524 | − | 0.186136i | \(-0.940403\pi\) |
0.652461 | + | 0.757822i | \(0.273737\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 3.65685 | + | 6.33386i | 0.164696 | + | 0.285263i | ||||
\(494\) | −6.82843 | −0.307225 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −20.4853 | −0.919816 | ||||||||
\(497\) | −2.82843 | − | 4.89898i | −0.126872 | − | 0.219749i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.07107 | − | 1.85514i | 0.0479476 | − | 0.0830476i | −0.841056 | − | 0.540949i | \(-0.818065\pi\) |
0.889003 | + | 0.457901i | \(0.151399\pi\) | |||||||
\(500\) | −10.8284 | + | 18.7554i | −0.484262 | + | 0.838766i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −15.3137 | −0.682805 | −0.341402 | − | 0.939917i | \(-0.610902\pi\) | ||||
−0.341402 | + | 0.939917i | \(0.610902\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −10.3431 | −0.460264 | ||||||||
\(506\) | −9.65685 | − | 16.7262i | −0.429300 | − | 0.743569i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 10.8284 | − | 18.7554i | 0.480434 | − | 0.832136i | ||||
\(509\) | −13.8995 | + | 24.0746i | −0.616084 | + | 1.06709i | 0.374109 | + | 0.927385i | \(0.377949\pi\) |
−0.990193 | + | 0.139705i | \(0.955385\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 16.4853 | + | 28.5533i | 0.729266 | + | 1.26313i | ||||
\(512\) | −31.2426 | −1.38074 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 37.7990 | 1.66724 | ||||||||
\(515\) | 19.3137 | + | 33.4523i | 0.851064 | + | 1.47409i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.343146 | + | 0.594346i | −0.0150915 | + | 0.0261393i | ||||
\(518\) | 12.4853 | − | 21.6251i | 0.548572 | − | 0.950154i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −6.24264 | − | 10.8126i | −0.273758 | − | 0.474163i | ||||
\(521\) | −2.68629 | −0.117689 | −0.0588443 | − | 0.998267i | \(-0.518742\pi\) | ||||
−0.0588443 | + | 0.998267i | \(0.518742\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 7.31371 | 0.319806 | 0.159903 | − | 0.987133i | \(-0.448882\pi\) | ||||
0.159903 | + | 0.987133i | \(0.448882\pi\) | |||||||
\(524\) | −15.3137 | − | 26.5241i | −0.668982 | − | 1.15871i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 14.4853 | − | 25.0892i | 0.631588 | − | 1.09394i | ||||
\(527\) | 12.4853 | − | 21.6251i | 0.543867 | − | 0.942006i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.50000 | + | 6.06218i | 0.152174 | + | 0.263573i | ||||
\(530\) | −13.6569 | −0.593216 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −30.6274 | −1.32787 | ||||||||
\(533\) | −5.41421 | − | 9.37769i | −0.234516 | − | 0.406193i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −16.0000 | + | 27.7128i | −0.691740 | + | 1.19813i | ||||
\(536\) | −2.58579 | + | 4.47871i | −0.111689 | + | 0.193451i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 21.7279 | + | 37.6339i | 0.936757 | + | 1.62251i | ||||
\(539\) | 2.00000 | 0.0861461 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 10.0000 | 0.429934 | 0.214967 | − | 0.976621i | \(-0.431036\pi\) | ||||
0.214967 | + | 0.976621i | \(0.431036\pi\) | |||||||
\(542\) | −14.2426 | − | 24.6690i | −0.611774 | − | 1.05962i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.89949 | − | 5.02207i | 0.124315 | − | 0.215320i | ||||
\(545\) | −24.4853 | + | 42.4098i | −1.04883 | + | 1.81663i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −0.343146 | − | 0.594346i | −0.0146719 | − | 0.0254124i | 0.858596 | − | 0.512652i | \(-0.171337\pi\) |
−0.873268 | + | 0.487240i | \(0.838004\pi\) | |||||||
\(548\) | 19.7990 | 0.845771 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 14.4853 | 0.617654 | ||||||||
\(551\) | 2.82843 | + | 4.89898i | 0.120495 | + | 0.208704i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 16.0000 | − | 27.7128i | 0.680389 | − | 1.17847i | ||||
\(554\) | 2.41421 | − | 4.18154i | 0.102570 | − | 0.177657i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −29.3137 | − | 50.7728i | −1.24318 | − | 2.15325i | ||||
\(557\) | −31.7990 | −1.34737 | −0.673683 | − | 0.739020i | \(-0.735289\pi\) | ||||
−0.673683 | + | 0.739020i | \(0.735289\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −9.65685 | −0.408441 | ||||||||
\(560\) | −12.0000 | − | 20.7846i | −0.507093 | − | 0.878310i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 32.3848 | − | 56.0921i | 1.36607 | − | 2.36610i | ||||
\(563\) | 2.00000 | − | 3.46410i | 0.0842900 | − | 0.145994i | −0.820798 | − | 0.571218i | \(-0.806471\pi\) |
0.905088 | + | 0.425223i | \(0.139804\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −24.4853 | − | 42.4098i | −1.03010 | − | 1.78419i | ||||
\(566\) | −12.0000 | −0.504398 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −8.82843 | −0.370433 | ||||||||
\(569\) | −4.51472 | − | 7.81972i | −0.189267 | − | 0.327820i | 0.755739 | − | 0.654873i | \(-0.227278\pi\) |
−0.945006 | + | 0.327053i | \(0.893944\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −10.4853 | + | 18.1610i | −0.438795 | + | 0.760016i | −0.997597 | − | 0.0692856i | \(-0.977928\pi\) |
0.558801 | + | 0.829301i | \(0.311261\pi\) | |||||||
\(572\) | 3.82843 | − | 6.63103i | 0.160075 | − | 0.277257i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −36.9706 | − | 64.0349i | −1.54312 | − | 2.67276i | ||||
\(575\) | 12.0000 | 0.500435 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 35.9411 | 1.49625 | 0.748124 | − | 0.663559i | \(-0.230955\pi\) | ||||
0.748124 | + | 0.663559i | \(0.230955\pi\) | |||||||
\(578\) | 4.37868 | + | 7.58410i | 0.182129 | + | 0.315457i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −10.8284 | + | 18.7554i | −0.449626 | + | 0.778775i | ||||
\(581\) | 10.8284 | − | 18.7554i | 0.449239 | − | 0.778105i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.00000 | − | 3.46410i | −0.0828315 | − | 0.143468i | ||||
\(584\) | 51.4558 | 2.12926 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 63.1127 | 2.60716 | ||||||||
\(587\) | 11.4853 | + | 19.8931i | 0.474048 | + | 0.821076i | 0.999559 | − | 0.0297116i | \(-0.00945887\pi\) |
−0.525510 | + | 0.850787i | \(0.676126\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 9.65685 | − | 16.7262i | 0.397904 | − | 0.689190i | ||||
\(590\) | 12.4853 | − | 21.6251i | 0.514011 | − | 0.890293i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −5.48528 | − | 9.50079i | −0.225444 | − | 0.390480i | ||||
\(593\) | 3.51472 | 0.144332 | 0.0721661 | − | 0.997393i | \(-0.477009\pi\) | ||||
0.0721661 | + | 0.997393i | \(0.477009\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 29.2548 | 1.19933 | ||||||||
\(596\) | −28.3848 | − | 49.1639i | −1.16269 | − | 2.01383i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 4.82843 | − | 8.36308i | 0.197449 | − | 0.341992i | ||||
\(599\) | −0.343146 | + | 0.594346i | −0.0140206 | + | 0.0242843i | −0.872951 | − | 0.487809i | \(-0.837796\pi\) |
0.858930 | + | 0.512093i | \(0.171130\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −22.3137 | − | 38.6485i | −0.910195 | − | 1.57650i | −0.813788 | − | 0.581162i | \(-0.802598\pi\) |
−0.0964075 | − | 0.995342i | \(-0.530735\pi\) | |||||||
\(602\) | −65.9411 | −2.68756 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −78.4264 | −3.19113 | ||||||||
\(605\) | −9.89949 | − | 17.1464i | −0.402472 | − | 0.697101i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 12.9706 | − | 22.4657i | 0.526459 | − | 0.911854i | −0.473066 | − | 0.881027i | \(-0.656853\pi\) |
0.999525 | − | 0.0308265i | \(-0.00981393\pi\) | |||||||
\(608\) | 2.24264 | − | 3.88437i | 0.0909511 | − | 0.157532i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −31.7990 | − | 55.0775i | −1.28750 | − | 2.23002i | ||||
\(611\) | −0.343146 | −0.0138822 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −36.3431 | −1.46789 | −0.733943 | − | 0.679211i | \(-0.762322\pi\) | ||||
−0.733943 | + | 0.679211i | \(0.762322\pi\) | |||||||
\(614\) | 20.7279 | + | 35.9018i | 0.836511 | + | 1.44888i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 12.4853 | − | 21.6251i | 0.503046 | − | 0.871302i | ||||
\(617\) | −14.5858 | + | 25.2633i | −0.587202 | + | 1.01706i | 0.407395 | + | 0.913252i | \(0.366437\pi\) |
−0.994597 | + | 0.103811i | \(0.966896\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 7.89949 | + | 13.6823i | 0.317508 | + | 0.549939i | 0.979967 | − | 0.199158i | \(-0.0638208\pi\) |
−0.662460 | + | 0.749097i | \(0.730487\pi\) | |||||||
\(620\) | 73.9411 | 2.96955 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −83.5980 | −3.35197 | ||||||||
\(623\) | −12.9706 | − | 22.4657i | −0.519655 | − | 0.900068i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 15.5000 | − | 26.8468i | 0.620000 | − | 1.07387i | ||||
\(626\) | −7.24264 | + | 12.5446i | −0.289474 | + | 0.501384i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 19.1421 | + | 33.1552i | 0.763854 | + | 1.32303i | ||||
\(629\) | 13.3726 | 0.533200 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −19.1127 | −0.760865 | −0.380432 | − | 0.924809i | \(-0.624225\pi\) | ||||
−0.380432 | + | 0.924809i | \(0.624225\pi\) | |||||||
\(632\) | −24.9706 | − | 43.2503i | −0.993276 | − | 1.72040i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −10.2426 | + | 17.7408i | −0.406787 | + | 0.704576i | ||||
\(635\) | −8.00000 | + | 13.8564i | −0.317470 | + | 0.549875i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.500000 | + | 0.866025i | 0.0198107 | + | 0.0343132i | ||||
\(638\) | −9.65685 | −0.382319 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 58.1421 | 2.29827 | ||||||||
\(641\) | −13.1421 | − | 22.7628i | −0.519083 | − | 0.899078i | −0.999754 | − | 0.0221773i | \(-0.992940\pi\) |
0.480671 | − | 0.876901i | \(-0.340393\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −8.58579 | + | 14.8710i | −0.338590 | + | 0.586456i | −0.984168 | − | 0.177239i | \(-0.943283\pi\) |
0.645577 | + | 0.763695i | \(0.276617\pi\) | |||||||
\(644\) | 21.6569 | − | 37.5108i | 0.853400 | − | 1.47813i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −12.4853 | − | 21.6251i | −0.491227 | − | 0.850830i | ||||
\(647\) | 11.3137 | 0.444788 | 0.222394 | − | 0.974957i | \(-0.428613\pi\) | ||||
0.222394 | + | 0.974957i | \(0.428613\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 7.31371 | 0.287088 | ||||||||
\(650\) | 3.62132 | + | 6.27231i | 0.142040 | + | 0.246020i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −25.2132 | + | 43.6705i | −0.987425 | + | 1.71027i | ||||
\(653\) | −1.34315 | + | 2.32640i | −0.0525614 | + | 0.0910389i | −0.891109 | − | 0.453789i | \(-0.850072\pi\) |
0.838548 | + | 0.544828i | \(0.183405\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 11.3137 | + | 19.5959i | 0.442063 | + | 0.765676i | ||||
\(656\) | −32.4853 | −1.26834 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.34315 | −0.0913453 | ||||||||
\(659\) | −12.3431 | − | 21.3790i | −0.480821 | − | 0.832806i | 0.518937 | − | 0.854812i | \(-0.326328\pi\) |
−0.999758 | + | 0.0220065i | \(0.992995\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0.514719 | − | 0.891519i | 0.0200202 | − | 0.0346761i | −0.855842 | − | 0.517238i | \(-0.826960\pi\) |
0.875862 | + | 0.482562i | \(0.160294\pi\) | |||||||
\(662\) | 2.58579 | − | 4.47871i | 0.100499 | − | 0.174070i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −16.8995 | − | 29.2708i | −0.655828 | − | 1.13593i | ||||
\(665\) | 22.6274 | 0.877454 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −8.00000 | −0.309761 | ||||||||
\(668\) | 14.6569 | + | 25.3864i | 0.567091 | + | 0.982230i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 4.00000 | − | 6.92820i | 0.154533 | − | 0.267660i | ||||
\(671\) | 9.31371 | − | 16.1318i | 0.359552 | − | 0.622762i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 14.3137 | + | 24.7921i | 0.551753 | + | 0.955664i | 0.998148 | + | 0.0608282i | \(0.0193742\pi\) |
−0.446395 | + | 0.894836i | \(0.647292\pi\) | |||||||
\(674\) | −32.1421 | −1.23807 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.82843 | 0.147247 | ||||||||
\(677\) | 24.6569 | + | 42.7069i | 0.947640 | + | 1.64136i | 0.750377 | + | 0.661010i | \(0.229872\pi\) |
0.197263 | + | 0.980351i | \(0.436795\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −10.8284 | + | 18.7554i | −0.415557 | + | 0.719766i | ||||
\(680\) | 22.8284 | − | 39.5400i | 0.875430 | − | 1.51629i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 16.4853 | + | 28.5533i | 0.631254 | + | 1.09336i | ||||
\(683\) | 19.9411 | 0.763026 | 0.381513 | − | 0.924363i | \(-0.375403\pi\) | ||||
0.381513 | + | 0.924363i | \(0.375403\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −14.6274 | −0.558885 | ||||||||
\(686\) | −20.4853 | − | 35.4815i | −0.782132 | − | 1.35469i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −14.4853 | + | 25.0892i | −0.552246 | + | 0.956518i | ||||
\(689\) | 1.00000 | − | 1.73205i | 0.0380970 | − | 0.0659859i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 17.0711 | + | 29.5680i | 0.649414 | + | 1.12482i | 0.983263 | + | 0.182192i | \(0.0583191\pi\) |
−0.333849 | + | 0.942627i | \(0.608348\pi\) | |||||||
\(692\) | 1.31371 | 0.0499397 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 75.5980 | 2.86966 | ||||||||
\(695\) | 21.6569 | + | 37.5108i | 0.821491 | + | 1.42286i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 19.7990 | − | 34.2929i | 0.749940 | − | 1.29893i | ||||
\(698\) | 9.24264 | − | 16.0087i | 0.349839 | − | 0.605939i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 16.2426 | + | 28.1331i | 0.613914 | + | 1.06333i | ||||
\(701\) | −38.9706 | −1.47190 | −0.735949 | − | 0.677037i | \(-0.763264\pi\) | ||||
−0.735949 | + | 0.677037i | \(0.763264\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 10.3431 | 0.390099 | ||||||||
\(704\) | 9.82843 | + | 17.0233i | 0.370423 | + | 0.641591i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 21.0711 | − | 36.4962i | 0.793020 | − | 1.37355i | ||||
\(707\) | 5.17157 | − | 8.95743i | 0.194497 | − | 0.336879i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −20.3137 | − | 35.1844i | −0.762897 | − | 1.32138i | −0.941351 | − | 0.337429i | \(-0.890443\pi\) |
0.178454 | − | 0.983948i | \(-0.442891\pi\) | |||||||
\(710\) | 13.6569 | 0.512533 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −40.4853 | −1.51725 | ||||||||
\(713\) | 13.6569 | + | 23.6544i | 0.511453 | + | 0.885863i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.82843 | + | 4.89898i | −0.105777 | + | 0.183211i | ||||
\(716\) | −1.31371 | + | 2.27541i | −0.0490956 | + | 0.0850361i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 1.24264 | + | 2.15232i | 0.0463749 | + | 0.0803237i | ||||
\(719\) | −37.9411 | −1.41497 | −0.707483 | − | 0.706731i | \(-0.750169\pi\) | ||||
−0.707483 | + | 0.706731i | \(0.750169\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −38.6274 | −1.43856 | ||||||||
\(722\) | 13.2782 | + | 22.9985i | 0.494162 | + | 0.855915i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −26.7990 | + | 46.4172i | −0.995977 | + | 1.72508i | ||||
\(725\) | 3.00000 | − | 5.19615i | 0.111417 | − | 0.192980i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 10.8284 | + | 18.7554i | 0.401604 | + | 0.695599i | 0.993920 | − | 0.110107i | \(-0.0351195\pi\) |
−0.592316 | + | 0.805706i | \(0.701786\pi\) | |||||||
\(728\) | 12.4853 | 0.462735 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −79.5980 | −2.94605 | ||||||||
\(731\) | −17.6569 | − | 30.5826i | −0.653062 | − | 1.13114i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −4.31371 | + | 7.47156i | −0.159330 | + | 0.275968i | −0.934627 | − | 0.355628i | \(-0.884267\pi\) |
0.775297 | + | 0.631597i | \(0.217600\pi\) | |||||||
\(734\) | 28.9706 | − | 50.1785i | 1.06932 | − | 1.85212i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 3.17157 | + | 5.49333i | 0.116906 | + | 0.202487i | ||||
\(737\) | 2.34315 | 0.0863109 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 10.1421 | 0.373084 | 0.186542 | − | 0.982447i | \(-0.440272\pi\) | ||||
0.186542 | + | 0.982447i | \(0.440272\pi\) | |||||||
\(740\) | 19.7990 | + | 34.2929i | 0.727825 | + | 1.26063i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 6.82843 | − | 11.8272i | 0.250679 | − | 0.434190i | ||||
\(743\) | 1.00000 | − | 1.73205i | 0.0366864 | − | 0.0635428i | −0.847099 | − | 0.531435i | \(-0.821653\pi\) |
0.883786 | + | 0.467892i | \(0.154986\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 20.9706 | + | 36.3221i | 0.768302 | + | 1.33074i | ||||
\(746\) | 24.1421 | 0.883906 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 28.0000 | 1.02378 | ||||||||
\(749\) | −16.0000 | − | 27.7128i | −0.584627 | − | 1.01260i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −16.4853 | + | 28.5533i | −0.601556 | + | 1.04193i | 0.391029 | + | 0.920378i | \(0.372119\pi\) |
−0.992586 | + | 0.121548i | \(0.961214\pi\) | |||||||
\(752\) | −0.514719 | + | 0.891519i | −0.0187699 | + | 0.0325103i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −2.41421 | − | 4.18154i | −0.0879205 | − | 0.152283i | ||||
\(755\) | 57.9411 | 2.10869 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −15.9411 | −0.579390 | −0.289695 | − | 0.957119i | \(-0.593554\pi\) | ||||
−0.289695 | + | 0.957119i | \(0.593554\pi\) | |||||||
\(758\) | 19.8995 | + | 34.4669i | 0.722782 | + | 1.25190i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 17.6569 | − | 30.5826i | 0.640481 | − | 1.10935i | ||||
\(761\) | 7.75736 | − | 13.4361i | 0.281204 | − | 0.487060i | −0.690478 | − | 0.723354i | \(-0.742600\pi\) |
0.971682 | + | 0.236294i | \(0.0759329\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −24.4853 | − | 42.4098i | −0.886427 | − | 1.53534i | ||||
\(764\) | 73.9411 | 2.67510 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 7.17157 | 0.259119 | ||||||||
\(767\) | 1.82843 | + | 3.16693i | 0.0660207 | + | 0.114351i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −21.0000 | + | 36.3731i | −0.757279 | + | 1.31165i | 0.186954 | + | 0.982369i | \(0.440139\pi\) |
−0.944233 | + | 0.329278i | \(0.893195\pi\) | |||||||
\(770\) | −19.3137 | + | 33.4523i | −0.696018 | + | 1.20554i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 33.1421 | + | 57.4039i | 1.19281 | + | 2.06601i | ||||
\(773\) | −5.85786 | −0.210693 | −0.105346 | − | 0.994436i | \(-0.533595\pi\) | ||||
−0.105346 | + | 0.994436i | \(0.533595\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −20.4853 | −0.735853 | ||||||||
\(776\) | 16.8995 | + | 29.2708i | 0.606657 | + | 1.05076i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 8.41421 | − | 14.5738i | 0.301664 | − | 0.522498i | ||||
\(779\) | 15.3137 | − | 26.5241i | 0.548671 | − | 0.950325i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.00000 | + | 3.46410i | 0.0715656 | + | 0.123955i | ||||
\(782\) | 35.3137 | 1.26282 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 3.00000 | 0.107143 | ||||||||
\(785\) | −14.1421 | − | 24.4949i | −0.504754 | − | 0.874260i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −16.3848 | + | 28.3793i | −0.584054 | + | 1.01161i | 0.410938 | + | 0.911663i | \(0.365201\pi\) |
−0.994993 | + | 0.0999484i | \(0.968132\pi\) | |||||||
\(788\) | −31.5563 | + | 54.6572i | −1.12415 | + | 1.94708i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 38.6274 | + | 66.9046i | 1.37430 | + | 2.38036i | ||||
\(791\) | 48.9706 | 1.74119 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 9.31371 | 0.330739 | ||||||||
\(794\) | 3.58579 | + | 6.21076i | 0.127255 | + | 0.220412i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −19.7990 | + | 34.2929i | −0.701757 | + | 1.21548i | ||||
\(797\) | 17.8284 | − | 30.8797i | 0.631515 | − | 1.09382i | −0.355727 | − | 0.934590i | \(-0.615767\pi\) |
0.987242 | − | 0.159227i | \(-0.0509000\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.627417 | − | 1.08672i | −0.0221964 | − | 0.0384453i | ||||
\(800\) | −4.75736 | −0.168198 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 5.17157 | 0.182615 | ||||||||
\(803\) | −11.6569 | − | 20.1903i | −0.411361 | − | 0.712499i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −16.0000 | + | 27.7128i | −0.563926 | + | 0.976748i | ||||
\(806\) | −8.24264 | + | 14.2767i | −0.290335 | + | 0.502874i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −8.07107 | − | 13.9795i | −0.283939 | − | 0.491797i | ||||
\(809\) | −41.3137 | −1.45251 | −0.726256 | − | 0.687424i | \(-0.758741\pi\) | ||||
−0.726256 | + | 0.687424i | \(0.758741\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −1.85786 | −0.0652384 | −0.0326192 | − | 0.999468i | \(-0.510385\pi\) | ||||
−0.0326192 | + | 0.999468i | \(0.510385\pi\) | |||||||
\(812\) | −10.8284 | − | 18.7554i | −0.380003 | − | 0.658185i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −8.82843 | + | 15.2913i | −0.309436 | + | 0.535959i | ||||
\(815\) | 18.6274 | − | 32.2636i | 0.652490 | − | 1.13015i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −13.6569 | − | 23.6544i | −0.477793 | − | 0.827561i | ||||
\(818\) | −2.48528 | −0.0868958 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 117.255 | 4.09472 | ||||||||
\(821\) | 7.89949 | + | 13.6823i | 0.275694 | + | 0.477516i | 0.970310 | − | 0.241864i | \(-0.0777589\pi\) |
−0.694616 | + | 0.719381i | \(0.744426\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −24.4853 | + | 42.4098i | −0.853503 | + | 1.47831i | 0.0245234 | + | 0.999699i | \(0.492193\pi\) |
−0.878027 | + | 0.478612i | \(0.841140\pi\) | |||||||
\(824\) | −30.1421 | + | 52.2077i | −1.05005 | + | 1.81874i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 12.4853 | + | 21.6251i | 0.434418 | + | 0.752435i | ||||
\(827\) | 26.0000 | 0.904109 | 0.452054 | − | 0.891990i | \(-0.350691\pi\) | ||||
0.452054 | + | 0.891990i | \(0.350691\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 5.31371 | 0.184553 | 0.0922764 | − | 0.995733i | \(-0.470586\pi\) | ||||
0.0922764 | + | 0.995733i | \(0.470586\pi\) | |||||||
\(830\) | 26.1421 | + | 45.2795i | 0.907407 | + | 1.57167i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −4.91421 | + | 8.51167i | −0.170370 | + | 0.295089i | ||||
\(833\) | −1.82843 | + | 3.16693i | −0.0633512 | + | 0.109728i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −10.8284 | − | 18.7554i | −0.374733 | − | 0.649057i | ||||
\(836\) | 21.6569 | 0.749018 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 73.9411 | 2.55425 | ||||||||
\(839\) | −23.6274 | − | 40.9239i | −0.815709 | − | 1.41285i | −0.908818 | − | 0.417194i | \(-0.863014\pi\) |
0.0931087 | − | 0.995656i | \(-0.470320\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 12.5000 | − | 21.6506i | 0.431034 | − | 0.746574i | ||||
\(842\) | −17.7279 | + | 30.7057i | −0.610945 | + | 1.05819i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 22.9706 | + | 39.7862i | 0.790679 | + | 1.36950i | ||||
\(845\) | −2.82843 | −0.0973009 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 19.7990 | 0.680301 | ||||||||
\(848\) | −3.00000 | − | 5.19615i | −0.103020 | − | 0.178437i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −13.2426 | + | 22.9369i | −0.454219 | + | 0.786730i | ||||
\(851\) | −7.31371 | + | 12.6677i | −0.250711 | + | 0.434244i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 3.82843 | + | 6.63103i | 0.131083 | + | 0.227042i | 0.924094 | − | 0.382165i | \(-0.124821\pi\) |
−0.793011 | + | 0.609207i | \(0.791488\pi\) | |||||||
\(854\) | 63.5980 | 2.17628 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −49.9411 | −1.70695 | ||||||||
\(857\) | 14.7990 | + | 25.6326i | 0.505524 | + | 0.875593i | 0.999980 | + | 0.00639020i | \(0.00203408\pi\) |
−0.494456 | + | 0.869203i | \(0.664633\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 11.6569 | − | 20.1903i | 0.397727 | − | 0.688883i | −0.595718 | − | 0.803193i | \(-0.703133\pi\) |
0.993445 | + | 0.114311i | \(0.0364659\pi\) | |||||||
\(860\) | 52.2843 | − | 90.5590i | 1.78288 | − | 3.08804i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 23.7279 | + | 41.0980i | 0.808176 | + | 1.39980i | ||||
\(863\) | 39.6569 | 1.34994 | 0.674968 | − | 0.737847i | \(-0.264158\pi\) | ||||
0.674968 | + | 0.737847i | \(0.264158\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.970563 | −0.0330001 | ||||||||
\(866\) | −1.58579 | − | 2.74666i | −0.0538872 | − | 0.0933354i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −36.9706 | + | 64.0349i | −1.25486 | + | 2.17349i | ||||
\(869\) | −11.3137 | + | 19.5959i | −0.383791 | + | 0.664746i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.585786 | + | 1.01461i | 0.0198486 | + | 0.0343788i | ||||
\(872\) | −76.4264 | −2.58812 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 27.3137 | 0.923900 | ||||||||
\(875\) | 8.00000 | + | 13.8564i | 0.270449 | + | 0.468432i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 7.14214 | − | 12.3705i | 0.241173 | − | 0.417724i | −0.719876 | − | 0.694103i | \(-0.755801\pi\) |
0.961049 | + | 0.276379i | \(0.0891346\pi\) | |||||||
\(878\) | 20.4853 | − | 35.4815i | 0.691345 | − | 1.19744i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 8.48528 | + | 14.6969i | 0.286039 | + | 0.495434i | ||||
\(881\) | −53.5980 | −1.80576 | −0.902881 | − | 0.429891i | \(-0.858552\pi\) | ||||
−0.902881 | + | 0.429891i | \(0.858552\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −51.5980 | −1.73641 | −0.868205 | − | 0.496205i | \(-0.834726\pi\) | ||||
−0.868205 | + | 0.496205i | \(0.834726\pi\) | |||||||
\(884\) | 7.00000 | + | 12.1244i | 0.235435 | + | 0.407786i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 50.6274 | − | 87.6893i | 1.70086 | − | 2.94598i | ||||
\(887\) | −4.00000 | + | 6.92820i | −0.134307 | + | 0.232626i | −0.925332 | − | 0.379157i | \(-0.876214\pi\) |
0.791026 | + | 0.611783i | \(0.209547\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −8.00000 | − | 13.8564i | −0.268311 | − | 0.464729i | ||||
\(890\) | 62.6274 | 2.09928 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 17.1716 | 0.574947 | ||||||||
\(893\) | −0.485281 | − | 0.840532i | −0.0162393 | − | 0.0281273i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.970563 | − | 1.68106i | 0.0324423 | − | 0.0561918i | ||||
\(896\) | −29.0711 | + | 50.3526i | −0.971196 | + | 1.68216i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 9.41421 | + | 16.3059i | 0.314156 | + | 0.544135i | ||||
\(899\) | 13.6569 | 0.455482 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 7.31371 | 0.243655 | ||||||||
\(902\) | 26.1421 | + | 45.2795i | 0.870438 | + | 1.50764i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 38.2132 | − | 66.1872i | 1.27095 | − | 2.20135i | ||||
\(905\) | 19.7990 | − | 34.2929i | 0.658141 | − | 1.13993i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −10.4853 | − | 18.1610i | −0.348158 | − | 0.603027i | 0.637764 | − | 0.770232i | \(-0.279859\pi\) |
−0.985922 | + | 0.167204i | \(0.946526\pi\) | |||||||
\(908\) | −20.3431 | −0.675111 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −19.3137 | −0.640243 | ||||||||
\(911\) | −20.0000 | − | 34.6410i | −0.662630 | − | 1.14771i | −0.979922 | − | 0.199380i | \(-0.936107\pi\) |
0.317293 | − | 0.948328i | \(-0.397226\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −7.65685 | + | 13.2621i | −0.253405 | + | 0.438910i | ||||
\(914\) | −4.41421 | + | 7.64564i | −0.146009 | + | 0.252895i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −40.7990 | − | 70.6659i | −1.34804 | − | 2.33487i | ||||
\(917\) | −22.6274 | −0.747223 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −19.3137 | −0.637100 | −0.318550 | − | 0.947906i | \(-0.603196\pi\) | ||||
−0.318550 | + | 0.947906i | \(0.603196\pi\) | |||||||
\(920\) | 24.9706 | + | 43.2503i | 0.823255 | + | 1.42592i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 13.0711 | − | 22.6398i | 0.430473 | − | 0.745601i | ||||
\(923\) | −1.00000 | + | 1.73205i | −0.0329154 | + | 0.0570111i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −5.48528 | − | 9.50079i | −0.180355 | − | 0.312384i | ||||
\(926\) | −18.1421 | −0.596188 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 3.17157 | 0.104112 | ||||||||
\(929\) | −13.8995 | − | 24.0746i | −0.456028 | − | 0.789863i | 0.542719 | − | 0.839914i | \(-0.317395\pi\) |
−0.998747 | + | 0.0500513i | \(0.984062\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.41421 | + | 2.44949i | −0.0463490 | + | 0.0802788i | ||||
\(932\) | −51.6274 | + | 89.4213i | −1.69111 | + | 2.92909i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −9.65685 | − | 16.7262i | −0.315982 | − | 0.547297i | ||||
\(935\) | −20.6863 | −0.676514 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 1.31371 | 0.0429170 | 0.0214585 | − | 0.999770i | \(-0.493169\pi\) | ||||
0.0214585 | + | 0.999770i | \(0.493169\pi\) | |||||||
\(938\) | 4.00000 | + | 6.92820i | 0.130605 | + | 0.226214i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 1.85786 | − | 3.21792i | 0.0605969 | − | 0.104957i | ||||
\(941\) | 2.92893 | − | 5.07306i | 0.0954805 | − | 0.165377i | −0.814329 | − | 0.580404i | \(-0.802895\pi\) |
0.909809 | + | 0.415027i | \(0.136228\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 21.6569 | + | 37.5108i | 0.705244 | + | 1.22152i | ||||
\(944\) | 10.9706 | 0.357061 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 46.6274 | 1.51599 | ||||||||
\(947\) | −27.4853 | − | 47.6059i | −0.893152 | − | 1.54698i | −0.836076 | − | 0.548614i | \(-0.815156\pi\) |
−0.0570760 | − | 0.998370i | \(-0.518178\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 5.82843 | − | 10.0951i | 0.189199 | − | 0.327702i | ||||
\(950\) | −10.2426 | + | 17.7408i | −0.332315 | + | 0.575587i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 22.8284 | + | 39.5400i | 0.739874 | + | 1.28150i | ||||
\(953\) | −51.6569 | −1.67333 | −0.836665 | − | 0.547715i | \(-0.815498\pi\) | ||||
−0.836665 | + | 0.547715i | \(0.815498\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −54.6274 | −1.76770 | ||||||||
\(956\) | 3.82843 | + | 6.63103i | 0.123820 | + | 0.214463i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 3.24264 | − | 5.61642i | 0.104765 | − | 0.181458i | ||||
\(959\) | 7.31371 | − | 12.6677i | 0.236172 | − | 0.409062i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −7.81371 | − | 13.5337i | −0.252055 | − | 0.436572i | ||||
\(962\) | −8.82843 | −0.284640 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 44.6274 | 1.43735 | ||||||||
\(965\) | −24.4853 | − | 42.4098i | −0.788209 | − | 1.36522i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 5.07107 | − | 8.78335i | 0.163075 | − | 0.282453i | −0.772895 | − | 0.634534i | \(-0.781192\pi\) |
0.935970 | + | 0.352080i | \(0.114526\pi\) | |||||||
\(968\) | 15.4497 | − | 26.7597i | 0.496574 | − | 0.860091i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −26.1421 | − | 45.2795i | −0.839373 | − | 1.45384i | ||||
\(971\) | −7.31371 | −0.234708 | −0.117354 | − | 0.993090i | \(-0.537441\pi\) | ||||
−0.117354 | + | 0.993090i | \(0.537441\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −43.3137 | −1.38857 | ||||||||
\(974\) | −38.3848 | − | 66.4844i | −1.22993 | − | 2.13030i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 13.9706 | − | 24.1977i | 0.447187 | − | 0.774550i | ||||
\(977\) | 6.92893 | − | 12.0013i | 0.221676 | − | 0.383954i | −0.733641 | − | 0.679537i | \(-0.762181\pi\) |
0.955317 | + | 0.295583i | \(0.0955139\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 9.17157 | + | 15.8856i | 0.293125 | + | 0.507707i | ||||
\(980\) | −10.8284 | −0.345901 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 35.3137 | 1.12691 | ||||||||
\(983\) | 1.34315 | + | 2.32640i | 0.0428397 | + | 0.0742005i | 0.886650 | − | 0.462441i | \(-0.153026\pi\) |
−0.843811 | + | 0.536641i | \(0.819693\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 23.3137 | − | 40.3805i | 0.742837 | − | 1.28663i | ||||
\(986\) | 8.82843 | − | 15.2913i | 0.281154 | − | 0.486974i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 5.41421 | + | 9.37769i | 0.172249 | + | 0.298344i | ||||
\(989\) | 38.6274 | 1.22828 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 27.3137 | 0.867649 | 0.433824 | − | 0.900998i | \(-0.357164\pi\) | ||||
0.433824 | + | 0.900998i | \(0.357164\pi\) | |||||||
\(992\) | −5.41421 | − | 9.37769i | −0.171901 | − | 0.297742i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −6.82843 | + | 11.8272i | −0.216585 | + | 0.375135i | ||||
\(995\) | 14.6274 | − | 25.3354i | 0.463720 | − | 0.803187i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −25.6274 | − | 44.3880i | −0.811628 | − | 1.40578i | −0.911724 | − | 0.410804i | \(-0.865248\pi\) |
0.100095 | − | 0.994978i | \(-0.468085\pi\) | |||||||
\(998\) | −5.17157 | −0.163703 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))