Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [810,3,Mod(269,810)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(810, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("810.269");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 810 = 2 \cdot 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 810.j (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(22.0709014132\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{24})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 90) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 539.2 | ||
Root | \(0.965926 + 0.258819i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 810.539 |
Dual form | 810.3.j.d.269.2 |
$q$-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 \(\left(\mathbb{Z}/810\mathbb{Z}\right)^\times\).
\(n\) | \(487\) | \(731\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.707107 | − | 1.22474i | −0.353553 | − | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.00000 | + | 1.73205i | −0.250000 | + | 0.433013i | ||||
\(5\) | 1.29410 | + | 4.82963i | 0.258819 | + | 0.965926i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.46410 | − | 2.00000i | 0.494872 | − | 0.285714i | −0.231722 | − | 0.972782i | \(-0.574436\pi\) |
0.726593 | + | 0.687068i | \(0.241103\pi\) | |||||||
\(8\) | 2.82843 | 0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 5.00000 | − | 5.00000i | 0.500000 | − | 0.500000i | ||||
\(11\) | −9.79796 | + | 5.65685i | −0.890724 | + | 0.514259i | −0.874179 | − | 0.485604i | \(-0.838600\pi\) |
−0.0165444 | + | 0.999863i | \(0.505267\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −15.5885 | − | 9.00000i | −1.19911 | − | 0.692308i | −0.238755 | − | 0.971080i | \(-0.576739\pi\) |
−0.960357 | + | 0.278772i | \(0.910073\pi\) | |||||||
\(14\) | −4.89898 | − | 2.82843i | −0.349927 | − | 0.202031i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.00000 | − | 3.46410i | −0.125000 | − | 0.216506i | ||||
\(17\) | 1.41421 | 0.0831890 | 0.0415945 | − | 0.999135i | \(-0.486756\pi\) | ||||
0.0415945 | + | 0.999135i | \(0.486756\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −24.0000 | −1.26316 | −0.631579 | − | 0.775312i | \(-0.717593\pi\) | ||||
−0.631579 | + | 0.775312i | \(0.717593\pi\) | |||||||
\(20\) | −9.65926 | − | 2.58819i | −0.482963 | − | 0.129410i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 13.8564 | + | 8.00000i | 0.629837 | + | 0.363636i | ||||
\(23\) | 19.7990 | − | 34.2929i | 0.860826 | − | 1.49099i | −0.0103075 | − | 0.999947i | \(-0.503281\pi\) |
0.871133 | − | 0.491047i | \(-0.163386\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −21.6506 | + | 12.5000i | −0.866025 | + | 0.500000i | ||||
\(26\) | 25.4558i | 0.979071i | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 8.00000i | 0.285714i | ||||||||
\(29\) | 33.0681 | − | 19.0919i | 1.14028 | − | 0.658341i | 0.193780 | − | 0.981045i | \(-0.437925\pi\) |
0.946500 | + | 0.322704i | \(0.104592\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.00000 | + | 3.46410i | −0.0645161 | + | 0.111745i | −0.896479 | − | 0.443086i | \(-0.853884\pi\) |
0.831963 | + | 0.554831i | \(0.187217\pi\) | |||||||
\(32\) | −2.82843 | + | 4.89898i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.00000 | − | 1.73205i | −0.0294118 | − | 0.0509427i | ||||
\(35\) | 14.1421 | + | 14.1421i | 0.404061 | + | 0.404061i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − | 56.0000i | − | 1.51351i | −0.653697 | − | 0.756757i | \(-0.726783\pi\) | ||
0.653697 | − | 0.756757i | \(-0.273217\pi\) | |||||||
\(38\) | 16.9706 | + | 29.3939i | 0.446594 | + | 0.773523i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.66025 | + | 13.6603i | 0.0915064 | + | 0.341506i | ||||
\(41\) | 20.8207 | + | 12.0208i | 0.507821 | + | 0.293191i | 0.731938 | − | 0.681372i | \(-0.238616\pi\) |
−0.224116 | + | 0.974562i | \(0.571950\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 69.2820 | − | 40.0000i | 1.61121 | − | 0.930233i | 0.622120 | − | 0.782922i | \(-0.286272\pi\) |
0.989090 | − | 0.147310i | \(-0.0470616\pi\) | |||||||
\(44\) | − | 22.6274i | − | 0.514259i | ||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −56.0000 | −1.21739 | ||||||||
\(47\) | −14.1421 | − | 24.4949i | −0.300897 | − | 0.521168i | 0.675443 | − | 0.737412i | \(-0.263953\pi\) |
−0.976339 | + | 0.216244i | \(0.930619\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −16.5000 | + | 28.5788i | −0.336735 | + | 0.583242i | ||||
\(50\) | 30.6186 | + | 17.6777i | 0.612372 | + | 0.353553i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 31.1769 | − | 18.0000i | 0.599556 | − | 0.346154i | ||||
\(53\) | 4.24264 | 0.0800498 | 0.0400249 | − | 0.999199i | \(-0.487256\pi\) | ||||
0.0400249 | + | 0.999199i | \(0.487256\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −40.0000 | − | 40.0000i | −0.727273 | − | 0.727273i | ||||
\(56\) | 9.79796 | − | 5.65685i | 0.174964 | − | 0.101015i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −46.7654 | − | 27.0000i | −0.806300 | − | 0.465517i | ||||
\(59\) | 53.8888 | + | 31.1127i | 0.913369 | + | 0.527334i | 0.881514 | − | 0.472159i | \(-0.156525\pi\) |
0.0318554 | + | 0.999492i | \(0.489858\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −55.0000 | − | 95.2628i | −0.901639 | − | 1.56169i | −0.825366 | − | 0.564598i | \(-0.809031\pi\) |
−0.0762735 | − | 0.997087i | \(-0.524302\pi\) | |||||||
\(62\) | 5.65685 | 0.0912396 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.00000 | 0.125000 | ||||||||
\(65\) | 23.2937 | − | 86.9333i | 0.358365 | − | 1.33744i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −27.7128 | − | 16.0000i | −0.413624 | − | 0.238806i | 0.278722 | − | 0.960372i | \(-0.410089\pi\) |
−0.692346 | + | 0.721566i | \(0.743423\pi\) | |||||||
\(68\) | −1.41421 | + | 2.44949i | −0.0207973 | + | 0.0360219i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 7.32051 | − | 27.3205i | 0.104579 | − | 0.390293i | ||||
\(71\) | − | 50.9117i | − | 0.717066i | −0.933517 | − | 0.358533i | \(-0.883277\pi\) | ||
0.933517 | − | 0.358533i | \(-0.116723\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 46.0000i | − | 0.630137i | −0.949069 | − | 0.315068i | \(-0.897973\pi\) | ||
0.949069 | − | 0.315068i | \(-0.102027\pi\) | |||||||
\(74\) | −68.5857 | + | 39.5980i | −0.926834 | + | 0.535108i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 24.0000 | − | 41.5692i | 0.315789 | − | 0.546963i | ||||
\(77\) | −22.6274 | + | 39.1918i | −0.293863 | + | 0.508985i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −18.0000 | − | 31.1769i | −0.227848 | − | 0.394644i | 0.729322 | − | 0.684171i | \(-0.239836\pi\) |
−0.957170 | + | 0.289526i | \(0.906502\pi\) | |||||||
\(80\) | 14.1421 | − | 14.1421i | 0.176777 | − | 0.176777i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | − | 34.0000i | − | 0.414634i | ||||||
\(83\) | 2.82843 | + | 4.89898i | 0.0340774 | + | 0.0590238i | 0.882561 | − | 0.470198i | \(-0.155817\pi\) |
−0.848484 | + | 0.529222i | \(0.822484\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.83013 | + | 6.83013i | 0.0215309 | + | 0.0803544i | ||||
\(86\) | −97.9796 | − | 56.5685i | −1.13930 | − | 0.657774i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −27.7128 | + | 16.0000i | −0.314918 | + | 0.181818i | ||||
\(89\) | 57.9828i | 0.651492i | 0.945457 | + | 0.325746i | \(0.105615\pi\) | ||||
−0.945457 | + | 0.325746i | \(0.894385\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −72.0000 | −0.791209 | ||||||||
\(92\) | 39.5980 | + | 68.5857i | 0.430413 | + | 0.745497i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −20.0000 | + | 34.6410i | −0.212766 | + | 0.368521i | ||||
\(95\) | −31.0583 | − | 115.911i | −0.326929 | − | 1.22012i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 12.1244 | − | 7.00000i | 0.124993 | − | 0.0721649i | −0.436200 | − | 0.899850i | \(-0.643676\pi\) |
0.561193 | + | 0.827685i | \(0.310343\pi\) | |||||||
\(98\) | 46.6690 | 0.476215 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | − | 50.0000i | − | 0.500000i | ||||||
\(101\) | −23.2702 | + | 13.4350i | −0.230398 | + | 0.133020i | −0.610755 | − | 0.791819i | \(-0.709134\pi\) |
0.380358 | + | 0.924839i | \(0.375801\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 58.8897 | + | 34.0000i | 0.571745 | + | 0.330097i | 0.757846 | − | 0.652434i | \(-0.226252\pi\) |
−0.186101 | + | 0.982531i | \(0.559585\pi\) | |||||||
\(104\) | −44.0908 | − | 25.4558i | −0.423950 | − | 0.244768i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −3.00000 | − | 5.19615i | −0.0283019 | − | 0.0490203i | ||||
\(107\) | −169.706 | −1.58603 | −0.793017 | − | 0.609200i | \(-0.791491\pi\) | ||||
−0.793017 | + | 0.609200i | \(0.791491\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −136.000 | −1.24771 | −0.623853 | − | 0.781542i | \(-0.714434\pi\) | ||||
−0.623853 | + | 0.781542i | \(0.714434\pi\) | |||||||
\(110\) | −20.7055 | + | 77.2741i | −0.188232 | + | 0.702492i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −13.8564 | − | 8.00000i | −0.123718 | − | 0.0714286i | ||||
\(113\) | 6.36396 | − | 11.0227i | 0.0563182 | − | 0.0975461i | −0.836492 | − | 0.547979i | \(-0.815397\pi\) |
0.892810 | + | 0.450433i | \(0.148731\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 191.244 | + | 51.2436i | 1.66299 | + | 0.445596i | ||||
\(116\) | 76.3675i | 0.658341i | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 88.0000i | − | 0.745763i | ||||||
\(119\) | 4.89898 | − | 2.82843i | 0.0411679 | − | 0.0237683i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.50000 | − | 6.06218i | 0.0289256 | − | 0.0501006i | ||||
\(122\) | −77.7817 | + | 134.722i | −0.637555 | + | 1.10428i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −4.00000 | − | 6.92820i | −0.0322581 | − | 0.0558726i | ||||
\(125\) | −88.3883 | − | 88.3883i | −0.707107 | − | 0.707107i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 28.0000i | 0.220472i | 0.993905 | + | 0.110236i | \(0.0351607\pi\) | ||||
−0.993905 | + | 0.110236i | \(0.964839\pi\) | |||||||
\(128\) | −5.65685 | − | 9.79796i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −122.942 | + | 32.9423i | −0.945710 | + | 0.253402i | ||||
\(131\) | 73.4847 | + | 42.4264i | 0.560952 | + | 0.323866i | 0.753527 | − | 0.657416i | \(-0.228351\pi\) |
−0.192576 | + | 0.981282i | \(0.561684\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −83.1384 | + | 48.0000i | −0.625101 | + | 0.360902i | ||||
\(134\) | 45.2548i | 0.337723i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 4.00000 | 0.0294118 | ||||||||
\(137\) | 6.36396 | + | 11.0227i | 0.0464523 | + | 0.0804577i | 0.888317 | − | 0.459231i | \(-0.151875\pi\) |
−0.841864 | + | 0.539689i | \(0.818542\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.00000 | + | 6.92820i | −0.0287770 | + | 0.0498432i | −0.880055 | − | 0.474871i | \(-0.842495\pi\) |
0.851278 | + | 0.524715i | \(0.175828\pi\) | |||||||
\(140\) | −38.6370 | + | 10.3528i | −0.275979 | + | 0.0739483i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −62.3538 | + | 36.0000i | −0.439111 | + | 0.253521i | ||||
\(143\) | 203.647 | 1.42410 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 135.000 | + | 135.000i | 0.931034 | + | 0.931034i | ||||
\(146\) | −56.3383 | + | 32.5269i | −0.385879 | + | 0.222787i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 96.9948 | + | 56.0000i | 0.655371 | + | 0.378378i | ||||
\(149\) | −104.103 | − | 60.1041i | −0.698680 | − | 0.403383i | 0.108176 | − | 0.994132i | \(-0.465499\pi\) |
−0.806856 | + | 0.590749i | \(0.798832\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −86.0000 | − | 148.956i | −0.569536 | − | 0.986466i | −0.996612 | − | 0.0822500i | \(-0.973789\pi\) |
0.427075 | − | 0.904216i | \(-0.359544\pi\) | |||||||
\(152\) | −67.8823 | −0.446594 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 64.0000 | 0.415584 | ||||||||
\(155\) | −19.3185 | − | 5.17638i | −0.124636 | − | 0.0333960i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −131.636 | − | 76.0000i | −0.838445 | − | 0.484076i | 0.0182904 | − | 0.999833i | \(-0.494178\pi\) |
−0.856735 | + | 0.515756i | \(0.827511\pi\) | |||||||
\(158\) | −25.4558 | + | 44.0908i | −0.161113 | + | 0.279056i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −27.3205 | − | 7.32051i | −0.170753 | − | 0.0457532i | ||||
\(161\) | − | 158.392i | − | 0.983801i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 104.000i | − | 0.638037i | −0.947749 | − | 0.319018i | \(-0.896647\pi\) | ||
0.947749 | − | 0.319018i | \(-0.103353\pi\) | |||||||
\(164\) | −41.6413 | + | 24.0416i | −0.253911 | + | 0.146595i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.00000 | − | 6.92820i | 0.0240964 | − | 0.0417362i | ||||
\(167\) | −101.823 | + | 176.363i | −0.609721 | + | 1.05607i | 0.381565 | + | 0.924342i | \(0.375385\pi\) |
−0.991286 | + | 0.131726i | \(0.957948\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 77.5000 | + | 134.234i | 0.458580 | + | 0.794284i | ||||
\(170\) | 7.07107 | − | 7.07107i | 0.0415945 | − | 0.0415945i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 160.000i | 0.930233i | ||||||||
\(173\) | −115.258 | − | 199.633i | −0.666234 | − | 1.15395i | −0.978949 | − | 0.204104i | \(-0.934572\pi\) |
0.312716 | − | 0.949847i | \(-0.398761\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −50.0000 | + | 86.6025i | −0.285714 | + | 0.494872i | ||||
\(176\) | 39.1918 | + | 22.6274i | 0.222681 | + | 0.128565i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 71.0141 | − | 41.0000i | 0.398956 | − | 0.230337i | ||||
\(179\) | − | 164.049i | − | 0.916474i | −0.888830 | − | 0.458237i | \(-0.848481\pi\) | ||
0.888830 | − | 0.458237i | \(-0.151519\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 8.00000 | 0.0441989 | 0.0220994 | − | 0.999756i | \(-0.492965\pi\) | ||||
0.0220994 | + | 0.999756i | \(0.492965\pi\) | |||||||
\(182\) | 50.9117 | + | 88.1816i | 0.279735 | + | 0.484514i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 56.0000 | − | 96.9948i | 0.304348 | − | 0.527146i | ||||
\(185\) | 270.459 | − | 72.4693i | 1.46194 | − | 0.391726i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −13.8564 | + | 8.00000i | −0.0740984 | + | 0.0427807i | ||||
\(188\) | 56.5685 | 0.300897 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −120.000 | + | 120.000i | −0.631579 | + | 0.631579i | ||||
\(191\) | 264.545 | − | 152.735i | 1.38505 | − | 0.799660i | 0.392299 | − | 0.919838i | \(-0.371680\pi\) |
0.992752 | + | 0.120178i | \(0.0383464\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 55.4256 | + | 32.0000i | 0.287179 | + | 0.165803i | 0.636669 | − | 0.771137i | \(-0.280312\pi\) |
−0.349490 | + | 0.936940i | \(0.613645\pi\) | |||||||
\(194\) | −17.1464 | − | 9.89949i | −0.0883837 | − | 0.0510283i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −33.0000 | − | 57.1577i | −0.168367 | − | 0.291621i | ||||
\(197\) | −230.517 | −1.17014 | −0.585068 | − | 0.810984i | \(-0.698932\pi\) | ||||
−0.585068 | + | 0.810984i | \(0.698932\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 300.000 | 1.50754 | 0.753769 | − | 0.657140i | \(-0.228234\pi\) | ||||
0.753769 | + | 0.657140i | \(0.228234\pi\) | |||||||
\(200\) | −61.2372 | + | 35.3553i | −0.306186 | + | 0.176777i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 32.9090 | + | 19.0000i | 0.162916 | + | 0.0940594i | ||||
\(203\) | 76.3675 | − | 132.272i | 0.376195 | − | 0.651588i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −31.1122 | + | 116.112i | −0.151767 | + | 0.566401i | ||||
\(206\) | − | 96.1665i | − | 0.466828i | ||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 72.0000i | 0.346154i | ||||||||
\(209\) | 235.151 | − | 135.765i | 1.12512 | − | 0.649591i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 132.000 | − | 228.631i | 0.625592 | − | 1.08356i | −0.362834 | − | 0.931854i | \(-0.618191\pi\) |
0.988426 | − | 0.151704i | \(-0.0484760\pi\) | |||||||
\(212\) | −4.24264 | + | 7.34847i | −0.0200125 | + | 0.0346626i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 120.000 | + | 207.846i | 0.560748 | + | 0.971243i | ||||
\(215\) | 282.843 | + | 282.843i | 1.31555 | + | 1.31555i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 16.0000i | 0.0737327i | ||||||||
\(218\) | 96.1665 | + | 166.565i | 0.441131 | + | 0.764061i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 109.282 | − | 29.2820i | 0.496737 | − | 0.133100i | ||||
\(221\) | −22.0454 | − | 12.7279i | −0.0997530 | − | 0.0575924i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −273.664 | + | 158.000i | −1.22719 | + | 0.708520i | −0.966442 | − | 0.256886i | \(-0.917304\pi\) |
−0.260751 | + | 0.965406i | \(0.583970\pi\) | |||||||
\(224\) | 22.6274i | 0.101015i | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −18.0000 | −0.0796460 | ||||||||
\(227\) | 48.0833 | + | 83.2827i | 0.211821 | + | 0.366884i | 0.952284 | − | 0.305212i | \(-0.0987274\pi\) |
−0.740464 | + | 0.672096i | \(0.765394\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.00000 | − | 6.92820i | 0.0174672 | − | 0.0302542i | −0.857160 | − | 0.515051i | \(-0.827773\pi\) |
0.874627 | + | 0.484797i | \(0.161106\pi\) | |||||||
\(230\) | −72.4693 | − | 270.459i | −0.315084 | − | 1.17591i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 93.5307 | − | 54.0000i | 0.403150 | − | 0.232759i | ||||
\(233\) | −227.688 | −0.977203 | −0.488602 | − | 0.872507i | \(-0.662493\pi\) | ||||
−0.488602 | + | 0.872507i | \(0.662493\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 100.000 | − | 100.000i | 0.425532 | − | 0.425532i | ||||
\(236\) | −107.778 | + | 62.2254i | −0.456685 | + | 0.263667i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −6.92820 | − | 4.00000i | −0.0291101 | − | 0.0168067i | ||||
\(239\) | 166.565 | + | 96.1665i | 0.696926 | + | 0.402370i | 0.806201 | − | 0.591641i | \(-0.201520\pi\) |
−0.109276 | + | 0.994012i | \(0.534853\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 64.0000 | + | 110.851i | 0.265560 | + | 0.459964i | 0.967710 | − | 0.252065i | \(-0.0811098\pi\) |
−0.702150 | + | 0.712029i | \(0.747776\pi\) | |||||||
\(242\) | −9.89949 | −0.0409070 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 220.000 | 0.901639 | ||||||||
\(245\) | −159.378 | − | 42.7051i | −0.650521 | − | 0.174307i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 374.123 | + | 216.000i | 1.51467 | + | 0.874494i | ||||
\(248\) | −5.65685 | + | 9.79796i | −0.0228099 | + | 0.0395079i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −45.7532 | + | 170.753i | −0.183013 | + | 0.683013i | ||||
\(251\) | 475.176i | 1.89313i | 0.322512 | + | 0.946565i | \(0.395473\pi\) | ||||
−0.322512 | + | 0.946565i | \(0.604527\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 448.000i | 1.77075i | ||||||||
\(254\) | 34.2929 | − | 19.7990i | 0.135011 | − | 0.0779488i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −163.342 | + | 282.916i | −0.635571 | + | 1.10084i | 0.350823 | + | 0.936442i | \(0.385902\pi\) |
−0.986394 | + | 0.164399i | \(0.947432\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −112.000 | − | 193.990i | −0.432432 | − | 0.748995i | ||||
\(260\) | 127.279 | + | 127.279i | 0.489535 | + | 0.489535i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | − | 120.000i | − | 0.458015i | ||||||
\(263\) | −39.5980 | − | 68.5857i | −0.150563 | − | 0.260782i | 0.780872 | − | 0.624691i | \(-0.214775\pi\) |
−0.931434 | + | 0.363909i | \(0.881442\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 5.49038 | + | 20.4904i | 0.0207184 | + | 0.0773222i | ||||
\(266\) | 117.576 | + | 67.8823i | 0.442013 | + | 0.255196i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 55.4256 | − | 32.0000i | 0.206812 | − | 0.119403i | ||||
\(269\) | − | 165.463i | − | 0.615104i | −0.951531 | − | 0.307552i | \(-0.900490\pi\) | ||
0.951531 | − | 0.307552i | \(-0.0995098\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 220.000 | 0.811808 | 0.405904 | − | 0.913916i | \(-0.366957\pi\) | ||||
0.405904 | + | 0.913916i | \(0.366957\pi\) | |||||||
\(272\) | −2.82843 | − | 4.89898i | −0.0103986 | − | 0.0180110i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 9.00000 | − | 15.5885i | 0.0328467 | − | 0.0568922i | ||||
\(275\) | 141.421 | − | 244.949i | 0.514259 | − | 0.890724i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.73205 | + | 1.00000i | −0.00625289 | + | 0.00361011i | −0.503123 | − | 0.864215i | \(-0.667816\pi\) |
0.496870 | + | 0.867825i | \(0.334482\pi\) | |||||||
\(278\) | 11.3137 | 0.0406968 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 40.0000 | + | 40.0000i | 0.142857 | + | 0.142857i | ||||
\(281\) | −11.0227 | + | 6.36396i | −0.0392267 | + | 0.0226475i | −0.519485 | − | 0.854480i | \(-0.673876\pi\) |
0.480258 | + | 0.877127i | \(0.340543\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −408.764 | − | 236.000i | −1.44440 | − | 0.833922i | −0.446257 | − | 0.894905i | \(-0.647243\pi\) |
−0.998139 | + | 0.0609826i | \(0.980577\pi\) | |||||||
\(284\) | 88.1816 | + | 50.9117i | 0.310499 | + | 0.179267i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −144.000 | − | 249.415i | −0.503497 | − | 0.872082i | ||||
\(287\) | 96.1665 | 0.335075 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −287.000 | −0.993080 | ||||||||
\(290\) | 69.8811 | − | 260.800i | 0.240969 | − | 0.899310i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 79.6743 | + | 46.0000i | 0.272857 | + | 0.157534i | ||||
\(293\) | 205.768 | − | 356.401i | 0.702280 | − | 1.21638i | −0.265384 | − | 0.964143i | \(-0.585499\pi\) |
0.967664 | − | 0.252242i | \(-0.0811679\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −80.5256 | + | 300.526i | −0.272968 | + | 1.01873i | ||||
\(296\) | − | 158.392i | − | 0.535108i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 170.000i | 0.570470i | ||||||||
\(299\) | −617.271 | + | 356.382i | −2.06445 | + | 1.19191i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 160.000 | − | 277.128i | 0.531561 | − | 0.920691i | ||||
\(302\) | −121.622 | + | 210.656i | −0.402723 | + | 0.697537i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 48.0000 | + | 83.1384i | 0.157895 | + | 0.273482i | ||||
\(305\) | 388.909 | − | 388.909i | 1.27511 | − | 1.27511i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 360.000i | 1.17264i | 0.810080 | + | 0.586319i | \(0.199424\pi\) | ||||
−0.810080 | + | 0.586319i | \(0.800576\pi\) | |||||||
\(308\) | −45.2548 | − | 78.3837i | −0.146931 | − | 0.254492i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 7.32051 | + | 27.3205i | 0.0236145 | + | 0.0881307i | ||||
\(311\) | 29.3939 | + | 16.9706i | 0.0945141 | + | 0.0545677i | 0.546512 | − | 0.837451i | \(-0.315955\pi\) |
−0.451998 | + | 0.892019i | \(0.649289\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 360.267 | − | 208.000i | 1.15101 | − | 0.664537i | 0.201878 | − | 0.979411i | \(-0.435296\pi\) |
0.949133 | + | 0.314874i | \(0.101962\pi\) | |||||||
\(314\) | 214.960i | 0.684587i | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 72.0000 | 0.227848 | ||||||||
\(317\) | 37.4767 | + | 64.9115i | 0.118223 | + | 0.204768i | 0.919063 | − | 0.394110i | \(-0.128947\pi\) |
−0.800841 | + | 0.598878i | \(0.795614\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −216.000 | + | 374.123i | −0.677116 | + | 1.17280i | ||||
\(320\) | 10.3528 | + | 38.6370i | 0.0323524 | + | 0.120741i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −193.990 | + | 112.000i | −0.602452 | + | 0.347826i | ||||
\(323\) | −33.9411 | −0.105081 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 450.000 | 1.38462 | ||||||||
\(326\) | −127.373 | + | 73.5391i | −0.390716 | + | 0.225580i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 58.8897 | + | 34.0000i | 0.179542 | + | 0.103659i | ||||
\(329\) | −97.9796 | − | 56.5685i | −0.297810 | − | 0.171941i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 232.000 | + | 401.836i | 0.700906 | + | 1.21401i | 0.968149 | + | 0.250376i | \(0.0805543\pi\) |
−0.267242 | + | 0.963629i | \(0.586112\pi\) | |||||||
\(332\) | −11.3137 | −0.0340774 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 288.000 | 0.862275 | ||||||||
\(335\) | 41.4110 | − | 154.548i | 0.123615 | − | 0.461338i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 53.6936 | + | 31.0000i | 0.159328 | + | 0.0919881i | 0.577544 | − | 0.816359i | \(-0.304011\pi\) |
−0.418216 | + | 0.908348i | \(0.637344\pi\) | |||||||
\(338\) | 109.602 | − | 189.835i | 0.324265 | − | 0.561643i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −13.6603 | − | 3.66025i | −0.0401772 | − | 0.0107655i | ||||
\(341\) | − | 45.2548i | − | 0.132712i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 328.000i | 0.956268i | ||||||||
\(344\) | 195.959 | − | 113.137i | 0.569649 | − | 0.328887i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −163.000 | + | 282.324i | −0.471098 | + | 0.815966i | ||||
\(347\) | −229.103 | + | 396.817i | −0.660238 | + | 1.14357i | 0.320315 | + | 0.947311i | \(0.396211\pi\) |
−0.980553 | + | 0.196255i | \(0.937122\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 71.0000 | + | 122.976i | 0.203438 | + | 0.352366i | 0.949634 | − | 0.313361i | \(-0.101455\pi\) |
−0.746196 | + | 0.665727i | \(0.768122\pi\) | |||||||
\(350\) | 141.421 | 0.404061 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | − | 64.0000i | − | 0.181818i | ||||||
\(353\) | 50.2046 | + | 86.9569i | 0.142223 | + | 0.246337i | 0.928333 | − | 0.371749i | \(-0.121242\pi\) |
−0.786111 | + | 0.618086i | \(0.787908\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 245.885 | − | 65.8846i | 0.692633 | − | 0.185590i | ||||
\(356\) | −100.429 | − | 57.9828i | −0.282104 | − | 0.162873i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −200.918 | + | 116.000i | −0.561223 | + | 0.324022i | ||||
\(359\) | 390.323i | 1.08725i | 0.839328 | + | 0.543625i | \(0.182949\pi\) | ||||
−0.839328 | + | 0.543625i | \(0.817051\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 215.000 | 0.595568 | ||||||||
\(362\) | −5.65685 | − | 9.79796i | −0.0156267 | − | 0.0270662i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 72.0000 | − | 124.708i | 0.197802 | − | 0.342603i | ||||
\(365\) | 222.163 | − | 59.5284i | 0.608666 | − | 0.163091i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −245.951 | + | 142.000i | −0.670167 | + | 0.386921i | −0.796140 | − | 0.605113i | \(-0.793128\pi\) |
0.125973 | + | 0.992034i | \(0.459795\pi\) | |||||||
\(368\) | −158.392 | −0.430413 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −280.000 | − | 280.000i | −0.756757 | − | 0.756757i | ||||
\(371\) | 14.6969 | − | 8.48528i | 0.0396144 | − | 0.0228714i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 311.769 | + | 180.000i | 0.835842 | + | 0.482574i | 0.855849 | − | 0.517226i | \(-0.173035\pi\) |
−0.0200066 | + | 0.999800i | \(0.506369\pi\) | |||||||
\(374\) | 19.5959 | + | 11.3137i | 0.0523955 | + | 0.0302506i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −40.0000 | − | 69.2820i | −0.106383 | − | 0.184261i | ||||
\(377\) | −687.308 | −1.82310 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −320.000 | −0.844327 | −0.422164 | − | 0.906520i | \(-0.638729\pi\) | ||||
−0.422164 | + | 0.906520i | \(0.638729\pi\) | |||||||
\(380\) | 231.822 | + | 62.1166i | 0.610058 | + | 0.163465i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −374.123 | − | 216.000i | −0.979380 | − | 0.565445i | ||||
\(383\) | 90.5097 | − | 156.767i | 0.236318 | − | 0.409314i | −0.723337 | − | 0.690495i | \(-0.757393\pi\) |
0.959655 | + | 0.281181i | \(0.0907261\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −218.564 | − | 58.5641i | −0.567699 | − | 0.152114i | ||||
\(386\) | − | 90.5097i | − | 0.234481i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 28.0000i | 0.0721649i | ||||||||
\(389\) | 594.001 | − | 342.947i | 1.52700 | − | 0.881611i | 0.527510 | − | 0.849549i | \(-0.323126\pi\) |
0.999486 | − | 0.0320622i | \(-0.0102075\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 28.0000 | − | 48.4974i | 0.0716113 | − | 0.124034i | ||||
\(392\) | −46.6690 | + | 80.8332i | −0.119054 | + | 0.206207i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 163.000 | + | 282.324i | 0.413706 | + | 0.716559i | ||||
\(395\) | 127.279 | − | 127.279i | 0.322226 | − | 0.322226i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 296.000i | − | 0.745592i | −0.927913 | − | 0.372796i | \(-0.878399\pi\) | ||
0.927913 | − | 0.372796i | \(-0.121601\pi\) | |||||||
\(398\) | −212.132 | − | 367.423i | −0.532995 | − | 0.923175i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 86.6025 | + | 50.0000i | 0.216506 | + | 0.125000i | ||||
\(401\) | −380.896 | − | 219.910i | −0.949864 | − | 0.548405i | −0.0568256 | − | 0.998384i | \(-0.518098\pi\) |
−0.893039 | + | 0.449980i | \(0.851431\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 62.3538 | − | 36.0000i | 0.154724 | − | 0.0893300i | ||||
\(404\) | − | 53.7401i | − | 0.133020i | ||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −216.000 | −0.532020 | ||||||||
\(407\) | 316.784 | + | 548.686i | 0.778339 | + | 1.34812i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 184.000 | − | 318.697i | 0.449878 | − | 0.779211i | −0.548500 | − | 0.836151i | \(-0.684801\pi\) |
0.998378 | + | 0.0569395i | \(0.0181342\pi\) | |||||||
\(410\) | 164.207 | − | 43.9992i | 0.400506 | − | 0.107315i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −117.779 | + | 68.0000i | −0.285872 | + | 0.165049i | ||||
\(413\) | 248.902 | 0.602667 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −20.0000 | + | 20.0000i | −0.0481928 | + | 0.0481928i | ||||
\(416\) | 88.1816 | − | 50.9117i | 0.211975 | − | 0.122384i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −332.554 | − | 192.000i | −0.795583 | − | 0.459330i | ||||
\(419\) | 166.565 | + | 96.1665i | 0.397531 | + | 0.229514i | 0.685418 | − | 0.728150i | \(-0.259620\pi\) |
−0.287887 | + | 0.957664i | \(0.592953\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −140.000 | − | 242.487i | −0.332542 | − | 0.575979i | 0.650468 | − | 0.759534i | \(-0.274573\pi\) |
−0.983009 | + | 0.183555i | \(0.941240\pi\) | |||||||
\(422\) | −373.352 | −0.884721 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 12.0000 | 0.0283019 | ||||||||
\(425\) | −30.6186 | + | 17.6777i | −0.0720438 | + | 0.0415945i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −381.051 | − | 220.000i | −0.892392 | − | 0.515222i | ||||
\(428\) | 169.706 | − | 293.939i | 0.396508 | − | 0.686773i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 146.410 | − | 546.410i | 0.340489 | − | 1.27072i | ||||
\(431\) | − | 96.1665i | − | 0.223124i | −0.993757 | − | 0.111562i | \(-0.964415\pi\) | ||
0.993757 | − | 0.111562i | \(-0.0355854\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 688.000i | − | 1.58891i | −0.607320 | − | 0.794457i | \(-0.707755\pi\) | ||
0.607320 | − | 0.794457i | \(-0.292245\pi\) | |||||||
\(434\) | 19.5959 | − | 11.3137i | 0.0451519 | − | 0.0260685i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 136.000 | − | 235.559i | 0.311927 | − | 0.540273i | ||||
\(437\) | −475.176 | + | 823.029i | −1.08736 | + | 1.88336i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −162.000 | − | 280.592i | −0.369021 | − | 0.639162i | 0.620392 | − | 0.784292i | \(-0.286973\pi\) |
−0.989413 | + | 0.145129i | \(0.953640\pi\) | |||||||
\(440\) | −113.137 | − | 113.137i | −0.257130 | − | 0.257130i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 36.0000i | 0.0814480i | ||||||||
\(443\) | 161.220 | + | 279.242i | 0.363929 | + | 0.630343i | 0.988604 | − | 0.150542i | \(-0.0481019\pi\) |
−0.624675 | + | 0.780885i | \(0.714769\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −280.035 | + | 75.0352i | −0.629293 | + | 0.168618i | ||||
\(446\) | 387.019 | + | 223.446i | 0.867756 | + | 0.500999i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 27.7128 | − | 16.0000i | 0.0618590 | − | 0.0357143i | ||||
\(449\) | 123.037i | 0.274024i | 0.990569 | + | 0.137012i | \(0.0437498\pi\) | ||||
−0.990569 | + | 0.137012i | \(0.956250\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −272.000 | −0.603104 | ||||||||
\(452\) | 12.7279 | + | 22.0454i | 0.0281591 | + | 0.0487730i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 68.0000 | − | 117.779i | 0.149780 | − | 0.259426i | ||||
\(455\) | −93.1749 | − | 347.733i | −0.204780 | − | 0.764249i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 112.583 | − | 65.0000i | 0.246353 | − | 0.142232i | −0.371740 | − | 0.928337i | \(-0.621239\pi\) |
0.618093 | + | 0.786105i | \(0.287905\pi\) | |||||||
\(458\) | −11.3137 | −0.0247024 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −280.000 | + | 280.000i | −0.608696 | + | 0.608696i | ||||
\(461\) | −407.840 | + | 235.467i | −0.884686 | + | 0.510773i | −0.872200 | − | 0.489149i | \(-0.837308\pi\) |
−0.0124851 | + | 0.999922i | \(0.503974\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 384.515 | + | 222.000i | 0.830487 | + | 0.479482i | 0.854019 | − | 0.520241i | \(-0.174158\pi\) |
−0.0235327 | + | 0.999723i | \(0.507491\pi\) | |||||||
\(464\) | −132.272 | − | 76.3675i | −0.285070 | − | 0.164585i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 161.000 | + | 278.860i | 0.345494 | + | 0.598412i | ||||
\(467\) | 186.676 | 0.399735 | 0.199867 | − | 0.979823i | \(-0.435949\pi\) | ||||
0.199867 | + | 0.979823i | \(0.435949\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −128.000 | −0.272921 | ||||||||
\(470\) | −193.185 | − | 51.7638i | −0.411032 | − | 0.110136i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 152.420 | + | 88.0000i | 0.322925 | + | 0.186441i | ||||
\(473\) | −452.548 | + | 783.837i | −0.956762 | + | 1.65716i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 519.615 | − | 300.000i | 1.09393 | − | 0.631579i | ||||
\(476\) | 11.3137i | 0.0237683i | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | − | 272.000i | − | 0.569038i | ||||||
\(479\) | −504.595 | + | 291.328i | −1.05343 | + | 0.608200i | −0.923609 | − | 0.383336i | \(-0.874775\pi\) |
−0.129825 | + | 0.991537i | \(0.541442\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −504.000 | + | 872.954i | −1.04782 | + | 1.81487i | ||||
\(482\) | 90.5097 | − | 156.767i | 0.187779 | − | 0.325243i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 7.00000 | + | 12.1244i | 0.0144628 | + | 0.0250503i | ||||
\(485\) | 49.4975 | + | 49.4975i | 0.102057 | + | 0.102057i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 84.0000i | 0.172485i | 0.996274 | + | 0.0862423i | \(0.0274859\pi\) | ||||
−0.996274 | + | 0.0862423i | \(0.972514\pi\) | |||||||
\(488\) | −155.563 | − | 269.444i | −0.318778 | − | 0.552139i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 60.3942 | + | 225.394i | 0.123253 | + | 0.459988i | ||||
\(491\) | −279.242 | − | 161.220i | −0.568721 | − | 0.328351i | 0.187918 | − | 0.982185i | \(-0.439826\pi\) |
−0.756638 | + | 0.653834i | \(0.773160\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 46.7654 | − | 27.0000i | 0.0948588 | − | 0.0547667i | ||||
\(494\) | − | 610.940i | − | 1.23672i | ||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 16.0000 | 0.0322581 | ||||||||
\(497\) | −101.823 | − | 176.363i | −0.204876 | − | 0.354856i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −228.000 | + | 394.908i | −0.456914 | + | 0.791398i | −0.998796 | − | 0.0490565i | \(-0.984379\pi\) |
0.541882 | + | 0.840454i | \(0.317712\pi\) | |||||||
\(500\) | 241.481 | − | 64.7048i | 0.482963 | − | 0.129410i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 581.969 | − | 336.000i | 1.15930 | − | 0.669323i | ||||
\(503\) | 492.146 | 0.978422 | 0.489211 | − | 0.872165i | \(-0.337285\pi\) | ||||
0.489211 | + | 0.872165i | \(0.337285\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −95.0000 | − | 95.0000i | −0.188119 | − | 0.188119i | ||||
\(506\) | 548.686 | − | 316.784i | 1.08436 | − | 0.626055i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −48.4974 | − | 28.0000i | −0.0954674 | − | 0.0551181i | ||||
\(509\) | −503.370 | − | 290.621i | −0.988939 | − | 0.570964i | −0.0839823 | − | 0.996467i | \(-0.526764\pi\) |
−0.904957 | + | 0.425503i | \(0.860097\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −92.0000 | − | 159.349i | −0.180039 | − | 0.311837i | ||||
\(512\) | 22.6274 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 462.000 | 0.898833 | ||||||||
\(515\) | −87.9985 | + | 328.415i | −0.170871 | + | 0.637699i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 277.128 | + | 160.000i | 0.536031 | + | 0.309478i | ||||
\(518\) | −158.392 | + | 274.343i | −0.305776 | + | 0.529619i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 65.8846 | − | 245.885i | 0.126701 | − | 0.472855i | ||||
\(521\) | − | 408.708i | − | 0.784468i | −0.919866 | − | 0.392234i | \(-0.871702\pi\) | ||
0.919866 | − | 0.392234i | \(-0.128298\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 656.000i | − | 1.25430i | −0.778898 | − | 0.627151i | \(-0.784221\pi\) | ||
0.778898 | − | 0.627151i | \(-0.215779\pi\) | |||||||
\(524\) | −146.969 | + | 84.8528i | −0.280476 | + | 0.161933i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −56.0000 | + | 96.9948i | −0.106464 | + | 0.184401i | ||||
\(527\) | −2.82843 | + | 4.89898i | −0.00536703 | + | 0.00929598i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −519.500 | − | 899.800i | −0.982042 | − | 1.70095i | ||||
\(530\) | 21.2132 | − | 21.2132i | 0.0400249 | − | 0.0400249i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | − | 192.000i | − | 0.360902i | ||||||
\(533\) | −216.375 | − | 374.772i | −0.405956 | − | 0.703137i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −219.615 | − | 819.615i | −0.410496 | − | 1.53199i | ||||
\(536\) | −78.3837 | − | 45.2548i | −0.146238 | − | 0.0844307i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −202.650 | + | 117.000i | −0.376673 | + | 0.217472i | ||||
\(539\) | − | 373.352i | − | 0.692676i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −248.000 | −0.458410 | −0.229205 | − | 0.973378i | \(-0.573613\pi\) | ||||
−0.229205 | + | 0.973378i | \(0.573613\pi\) | |||||||
\(542\) | −155.563 | − | 269.444i | −0.287018 | − | 0.497129i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −4.00000 | + | 6.92820i | −0.00735294 | + | 0.0127357i | ||||
\(545\) | −175.997 | − | 656.830i | −0.322930 | − | 1.20519i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 263.272 | − | 152.000i | 0.481301 | − | 0.277879i | −0.239657 | − | 0.970858i | \(-0.577035\pi\) |
0.720959 | + | 0.692978i | \(0.243702\pi\) | |||||||
\(548\) | −25.4558 | −0.0464523 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −400.000 | −0.727273 | ||||||||
\(551\) | −793.635 | + | 458.205i | −1.44035 | + | 0.831588i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −124.708 | − | 72.0000i | −0.225511 | − | 0.130199i | ||||
\(554\) | 2.44949 | + | 1.41421i | 0.00442146 | + | 0.00255273i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −8.00000 | − | 13.8564i | −0.0143885 | − | 0.0249216i | ||||
\(557\) | −886.712 | −1.59194 | −0.795971 | − | 0.605335i | \(-0.793039\pi\) | ||||
−0.795971 | + | 0.605335i | \(0.793039\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1440.00 | −2.57603 | ||||||||
\(560\) | 20.7055 | − | 77.2741i | 0.0369741 | − | 0.137989i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 15.5885 | + | 9.00000i | 0.0277375 | + | 0.0160142i | ||||
\(563\) | −19.7990 | + | 34.2929i | −0.0351669 | + | 0.0609109i | −0.883073 | − | 0.469235i | \(-0.844530\pi\) |
0.847906 | + | 0.530146i | \(0.177863\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 61.4711 | + | 16.4711i | 0.108798 | + | 0.0291525i | ||||
\(566\) | 667.509i | 1.17934i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | − | 144.000i | − | 0.253521i | ||||||
\(569\) | −37.9671 | + | 21.9203i | −0.0667260 | + | 0.0385243i | −0.532992 | − | 0.846120i | \(-0.678932\pi\) |
0.466266 | + | 0.884645i | \(0.345599\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 196.000 | − | 339.482i | 0.343257 | − | 0.594539i | −0.641778 | − | 0.766890i | \(-0.721803\pi\) |
0.985036 | + | 0.172351i | \(0.0551363\pi\) | |||||||
\(572\) | −203.647 | + | 352.727i | −0.356026 | + | 0.616655i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −68.0000 | − | 117.779i | −0.118467 | − | 0.205191i | ||||
\(575\) | 989.949i | 1.72165i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 112.000i | 0.194107i | 0.995279 | + | 0.0970537i | \(0.0309419\pi\) | ||||
−0.995279 | + | 0.0970537i | \(0.969058\pi\) | |||||||
\(578\) | 202.940 | + | 351.502i | 0.351107 | + | 0.608135i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −368.827 | + | 98.8269i | −0.635908 | + | 0.170391i | ||||
\(581\) | 19.5959 | + | 11.3137i | 0.0337279 | + | 0.0194728i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −41.5692 | + | 24.0000i | −0.0713023 | + | 0.0411664i | ||||
\(584\) | − | 130.108i | − | 0.222787i | ||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −582.000 | −0.993174 | ||||||||
\(587\) | 576.999 | + | 999.392i | 0.982963 | + | 1.70254i | 0.650661 | + | 0.759368i | \(0.274492\pi\) |
0.332302 | + | 0.943173i | \(0.392175\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 48.0000 | − | 83.1384i | 0.0814941 | − | 0.141152i | ||||
\(590\) | 425.007 | − | 113.880i | 0.720351 | − | 0.193018i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −193.990 | + | 112.000i | −0.327685 | + | 0.189189i | ||||
\(593\) | −258.801 | −0.436427 | −0.218213 | − | 0.975901i | \(-0.570023\pi\) | ||||
−0.218213 | + | 0.975901i | \(0.570023\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 20.0000 | + | 20.0000i | 0.0336134 | + | 0.0336134i | ||||
\(596\) | 208.207 | − | 120.208i | 0.349340 | − | 0.201692i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 872.954 | + | 504.000i | 1.45979 | + | 0.842809i | ||||
\(599\) | 249.848 | + | 144.250i | 0.417108 | + | 0.240818i | 0.693839 | − | 0.720130i | \(-0.255918\pi\) |
−0.276731 | + | 0.960947i | \(0.589251\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 431.000 | + | 746.514i | 0.717138 | + | 1.24212i | 0.962129 | + | 0.272594i | \(0.0878817\pi\) |
−0.244991 | + | 0.969525i | \(0.578785\pi\) | |||||||
\(602\) | −452.548 | −0.751741 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 344.000 | 0.569536 | ||||||||
\(605\) | 33.8074 | + | 9.05867i | 0.0558800 | + | 0.0149730i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −682.428 | − | 394.000i | −1.12426 | − | 0.649094i | −0.181778 | − | 0.983340i | \(-0.558185\pi\) |
−0.942486 | + | 0.334246i | \(0.891518\pi\) | |||||||
\(608\) | 67.8823 | − | 117.576i | 0.111648 | − | 0.193381i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −751.314 | − | 201.314i | −1.23166 | − | 0.330023i | ||||
\(611\) | 509.117i | 0.833252i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | − | 952.000i | − | 1.55302i | −0.630106 | − | 0.776509i | \(-0.716989\pi\) | ||
0.630106 | − | 0.776509i | \(-0.283011\pi\) | |||||||
\(614\) | 440.908 | − | 254.558i | 0.718091 | − | 0.414590i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −64.0000 | + | 110.851i | −0.103896 | + | 0.179953i | ||||
\(617\) | −191.626 | + | 331.906i | −0.310577 | + | 0.537935i | −0.978487 | − | 0.206307i | \(-0.933856\pi\) |
0.667911 | + | 0.744242i | \(0.267189\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −152.000 | − | 263.272i | −0.245557 | − | 0.425318i | 0.716731 | − | 0.697350i | \(-0.245638\pi\) |
−0.962288 | + | 0.272032i | \(0.912304\pi\) | |||||||
\(620\) | 28.2843 | − | 28.2843i | 0.0456198 | − | 0.0456198i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 48.0000i | − | 0.0771704i | ||||||
\(623\) | 115.966 | + | 200.858i | 0.186140 | + | 0.322405i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 312.500 | − | 541.266i | 0.500000 | − | 0.866025i | ||||
\(626\) | −509.494 | − | 294.156i | −0.813888 | − | 0.469898i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 263.272 | − | 152.000i | 0.419222 | − | 0.242038i | ||||
\(629\) | − | 79.1960i | − | 0.125908i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 860.000 | 1.36292 | 0.681458 | − | 0.731857i | \(-0.261346\pi\) | ||||
0.681458 | + | 0.731857i | \(0.261346\pi\) | |||||||
\(632\) | −50.9117 | − | 88.1816i | −0.0805565 | − | 0.139528i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 53.0000 | − | 91.7987i | 0.0835962 | − | 0.144793i | ||||
\(635\) | −135.230 | + | 36.2347i | −0.212960 | + | 0.0570625i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 514.419 | − | 297.000i | 0.807565 | − | 0.466248i | ||||
\(638\) | 610.940 | 0.957587 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 40.0000 | − | 40.0000i | 0.0625000 | − | 0.0625000i | ||||
\(641\) | 383.345 | − | 221.324i | 0.598042 | − | 0.345280i | −0.170229 | − | 0.985405i | \(-0.554451\pi\) |
0.768271 | + | 0.640125i | \(0.221117\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −561.184 | − | 324.000i | −0.872760 | − | 0.503888i | −0.00449534 | − | 0.999990i | \(-0.501431\pi\) |
−0.868264 | + | 0.496102i | \(0.834764\pi\) | |||||||
\(644\) | 274.343 | + | 158.392i | 0.425998 | + | 0.245950i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 24.0000 | + | 41.5692i | 0.0371517 | + | 0.0643486i | ||||
\(647\) | 390.323 | 0.603281 | 0.301641 | − | 0.953422i | \(-0.402466\pi\) | ||||
0.301641 | + | 0.953422i | \(0.402466\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −704.000 | −1.08475 | ||||||||
\(650\) | −318.198 | − | 551.135i | −0.489535 | − | 0.847900i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 180.133 | + | 104.000i | 0.276278 | + | 0.159509i | ||||
\(653\) | 454.670 | − | 787.511i | 0.696278 | − | 1.20599i | −0.273470 | − | 0.961881i | \(-0.588171\pi\) |
0.969748 | − | 0.244109i | \(-0.0784953\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −109.808 | + | 409.808i | −0.167645 | + | 0.625660i | ||||
\(656\) | − | 96.1665i | − | 0.146595i | ||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 160.000i | 0.243161i | ||||||||
\(659\) | 298.838 | − | 172.534i | 0.453472 | − | 0.261812i | −0.255824 | − | 0.966723i | \(-0.582347\pi\) |
0.709295 | + | 0.704912i | \(0.249013\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −481.000 | + | 833.116i | −0.727685 | + | 1.26039i | 0.230174 | + | 0.973150i | \(0.426071\pi\) |
−0.957859 | + | 0.287238i | \(0.907263\pi\) | |||||||
\(662\) | 328.098 | − | 568.282i | 0.495616 | − | 0.858431i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 8.00000 | + | 13.8564i | 0.0120482 | + | 0.0208681i | ||||
\(665\) | −339.411 | − | 339.411i | −0.510393 | − | 0.510393i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − | 1512.00i | − | 2.26687i | ||||||
\(668\) | −203.647 | − | 352.727i | −0.304860 | − | 0.528034i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −218.564 | + | 58.5641i | −0.326215 | + | 0.0874091i | ||||
\(671\) | 1077.78 | + | 622.254i | 1.60622 | + | 0.927353i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −207.846 | + | 120.000i | −0.308835 | + | 0.178306i | −0.646405 | − | 0.762994i | \(-0.723728\pi\) |
0.337570 | + | 0.941300i | \(0.390395\pi\) | |||||||
\(674\) | − | 87.6812i | − | 0.130091i | ||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −310.000 | −0.458580 | ||||||||
\(677\) | −166.170 | − | 287.815i | −0.245451 | − | 0.425133i | 0.716808 | − | 0.697271i | \(-0.245603\pi\) |
−0.962258 | + | 0.272138i | \(0.912269\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 28.0000 | − | 48.4974i | 0.0412371 | − | 0.0714248i | ||||
\(680\) | 5.17638 | + | 19.3185i | 0.00761232 | + | 0.0284096i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −55.4256 | + | 32.0000i | −0.0812692 | + | 0.0469208i | ||||
\(683\) | 1012.58 | 1.48254 | 0.741272 | − | 0.671205i | \(-0.234223\pi\) | ||||
0.741272 | + | 0.671205i | \(0.234223\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −45.0000 | + | 45.0000i | −0.0656934 | + | 0.0656934i | ||||
\(686\) | 401.716 | − | 231.931i | 0.585592 | − | 0.338092i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −277.128 | − | 160.000i | −0.402803 | − | 0.232558i | ||||
\(689\) | −66.1362 | − | 38.1838i | −0.0959887 | − | 0.0554191i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 40.0000 | + | 69.2820i | 0.0578871 | + | 0.100263i | 0.893517 | − | 0.449030i | \(-0.148230\pi\) |
−0.835630 | + | 0.549293i | \(0.814897\pi\) | |||||||
\(692\) | 461.034 | 0.666234 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 648.000 | 0.933718 | ||||||||
\(695\) | −38.6370 | − | 10.3528i | −0.0555929 | − | 0.0148961i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 29.4449 | + | 17.0000i | 0.0422451 | + | 0.0243902i | ||||
\(698\) | 100.409 | − | 173.914i | 0.143853 | − | 0.249160i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −100.000 | − | 173.205i | −0.142857 | − | 0.247436i | ||||
\(701\) | − | 558.614i | − | 0.796882i | −0.917194 | − | 0.398441i | \(-0.869551\pi\) | ||
0.917194 | − | 0.398441i | \(-0.130449\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1344.00i | 1.91181i | ||||||||
\(704\) | −78.3837 | + | 45.2548i | −0.111340 | + | 0.0642824i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 71.0000 | − | 122.976i | 0.100567 | − | 0.174186i | ||||
\(707\) | −53.7401 | + | 93.0806i | −0.0760115 | + | 0.131656i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −156.000 | − | 270.200i | −0.220028 | − | 0.381100i | 0.734788 | − | 0.678297i | \(-0.237282\pi\) |
−0.954816 | + | 0.297197i | \(0.903948\pi\) | |||||||
\(710\) | −254.558 | − | 254.558i | −0.358533 | − | 0.358533i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 164.000i | 0.230337i | ||||||||
\(713\) | 79.1960 | + | 137.171i | 0.111074 | + | 0.192386i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 263.538 | + | 983.538i | 0.368585 | + | 1.37558i | ||||
\(716\) | 284.141 | + | 164.049i | 0.396845 | + | 0.229118i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 478.046 | − | 276.000i | 0.665802 | − | 0.384401i | ||||
\(719\) | 1148.34i | 1.59714i | 0.601904 | + | 0.798568i | \(0.294409\pi\) | ||||
−0.601904 | + | 0.798568i | \(0.705591\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 272.000 | 0.377254 | ||||||||
\(722\) | −152.028 | − | 263.320i | −0.210565 | − | 0.364709i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −8.00000 | + | 13.8564i | −0.0110497 | + | 0.0191387i | ||||
\(725\) | −477.297 | + | 826.703i | −0.658341 | + | 1.14028i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 405.300 | − | 234.000i | 0.557496 | − | 0.321871i | −0.194644 | − | 0.980874i | \(-0.562355\pi\) |
0.752140 | + | 0.659003i | \(0.229022\pi\) | |||||||
\(728\) | −203.647 | −0.279735 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −230.000 | − | 230.000i | −0.315068 | − | 0.315068i | ||||
\(731\) | 97.9796 | − | 56.5685i | 0.134035 | − | 0.0773851i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −455.529 | − | 263.000i | −0.621459 | − | 0.358799i | 0.155978 | − | 0.987761i | \(-0.450147\pi\) |
−0.777437 | + | 0.628961i | \(0.783480\pi\) | |||||||
\(734\) | 347.828 | + | 200.818i | 0.473879 | + | 0.273594i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 112.000 | + | 193.990i | 0.152174 | + | 0.263573i | ||||
\(737\) | 362.039 | 0.491233 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 344.000 | 0.465494 | 0.232747 | − | 0.972537i | \(-0.425229\pi\) | ||||
0.232747 | + | 0.972537i | \(0.425229\pi\) | |||||||
\(740\) | −144.939 | + | 540.918i | −0.195863 | + | 0.730971i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −20.7846 | − | 12.0000i | −0.0280116 | − | 0.0161725i | ||||
\(743\) | 339.411 | − | 587.878i | 0.456812 | − | 0.791221i | −0.541978 | − | 0.840392i | \(-0.682325\pi\) |
0.998790 | + | 0.0491709i | \(0.0156579\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 155.561 | − | 580.561i | 0.208806 | − | 0.779276i | ||||
\(746\) | − | 509.117i | − | 0.682462i | ||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | − | 32.0000i | − | 0.0427807i | ||||||
\(749\) | −587.878 | + | 339.411i | −0.784883 | + | 0.453153i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −154.000 | + | 266.736i | −0.205060 | + | 0.355174i | −0.950152 | − | 0.311788i | \(-0.899072\pi\) |
0.745092 | + | 0.666962i | \(0.232406\pi\) | |||||||
\(752\) | −56.5685 | + | 97.9796i | −0.0752241 | + | 0.130292i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 486.000 | + | 841.777i | 0.644562 | + | 1.11641i | ||||
\(755\) | 608.112 | − | 608.112i | 0.805446 | − | 0.805446i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 610.000i | 0.805812i | 0.915241 | + | 0.402906i | \(0.132000\pi\) | ||||
−0.915241 | + | 0.402906i | \(0.868000\pi\) | |||||||
\(758\) | 226.274 | + | 391.918i | 0.298515 | + | 0.517043i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −87.8461 | − | 327.846i | −0.115587 | − | 0.431376i | ||||
\(761\) | 1017.76 | + | 587.606i | 1.33740 | + | 0.772149i | 0.986422 | − | 0.164233i | \(-0.0525150\pi\) |
0.350981 | + | 0.936383i | \(0.385848\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −471.118 | + | 272.000i | −0.617455 | + | 0.356488i | ||||
\(764\) | 610.940i | 0.799660i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −256.000 | −0.334204 | ||||||||
\(767\) | −560.029 | − | 969.998i | −0.730155 | − | 1.26466i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 135.000 | − | 233.827i | 0.175553 | − | 0.304066i | −0.764800 | − | 0.644268i | \(-0.777162\pi\) |
0.940352 | + | 0.340202i | \(0.110495\pi\) | |||||||
\(770\) | 82.8221 | + | 309.096i | 0.107561 | + | 0.401424i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −110.851 | + | 64.0000i | −0.143590 | + | 0.0829016i | ||||
\(773\) | −267.286 | −0.345778 | −0.172889 | − | 0.984941i | \(-0.555310\pi\) | ||||
−0.172889 | + | 0.984941i | \(0.555310\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 100.000i | − | 0.129032i | ||||||
\(776\) | 34.2929 | − | 19.7990i | 0.0441918 | − | 0.0255142i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −840.045 | − | 485.000i | −1.07975 | − | 0.623393i | ||||
\(779\) | −499.696 | − | 288.500i | −0.641458 | − | 0.370346i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 288.000 | + | 498.831i | 0.368758 | + | 0.638708i | ||||
\(782\) | −79.1960 | −0.101274 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 132.000 | 0.168367 | ||||||||
\(785\) | 196.702 | − | 734.104i | 0.250576 | − | 0.935164i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 1316.36 | + | 760.000i | 1.67263 | + | 0.965693i | 0.966158 | + | 0.257950i | \(0.0830469\pi\) |
0.706470 | + | 0.707743i | \(0.250286\pi\) | |||||||
\(788\) | 230.517 | − | 399.267i | 0.292534 | − | 0.506684i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −245.885 | − | 65.8846i | −0.311246 | − | 0.0833982i | ||||
\(791\) | − | 50.9117i | − | 0.0643637i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1980.00i | 2.49685i | ||||||||
\(794\) | −362.524 | + | 209.304i | −0.456580 | + | 0.263607i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −300.000 | + | 519.615i | −0.376884 | + | 0.652783i | ||||
\(797\) | 194.454 | − | 336.805i | 0.243983 | − | 0.422591i | −0.717862 | − | 0.696185i | \(-0.754879\pi\) |
0.961845 | + | 0.273594i | \(0.0882126\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −20.0000 | − | 34.6410i | −0.0250313 | − | 0.0433555i | ||||
\(800\) | − | 141.421i | − | 0.176777i | ||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 622.000i | 0.775561i | ||||||||
\(803\) | 260.215 | + | 450.706i | 0.324054 | + | 0.561278i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 764.974 | − | 204.974i | 0.950279 | − | 0.254626i | ||||
\(806\) | −88.1816 | − | 50.9117i | −0.109406 | − | 0.0631659i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −65.8179 | + | 38.0000i | −0.0814578 | + | 0.0470297i | ||||
\(809\) | 46.6690i | 0.0576873i | 0.999584 | + | 0.0288437i | \(0.00918250\pi\) | ||||
−0.999584 | + | 0.0288437i | \(0.990818\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 1120.00 | 1.38101 | 0.690506 | − | 0.723327i | \(-0.257388\pi\) | ||||
0.690506 | + | 0.723327i | \(0.257388\pi\) | |||||||
\(812\) | 152.735 | + | 264.545i | 0.188097 | + | 0.325794i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 448.000 | − | 775.959i | 0.550369 | − | 0.953266i | ||||
\(815\) | 502.281 | − | 134.586i | 0.616296 | − | 0.165136i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −1662.77 | + | 960.000i | −2.03521 | + | 1.17503i | ||||
\(818\) | −520.431 | −0.636223 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −170.000 | − | 170.000i | −0.207317 | − | 0.207317i | ||||
\(821\) | 1101.05 | − | 635.689i | 1.34110 | − | 0.774286i | 0.354134 | − | 0.935195i | \(-0.384776\pi\) |
0.986969 | + | 0.160909i | \(0.0514424\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 717.069 | + | 414.000i | 0.871287 | + | 0.503038i | 0.867776 | − | 0.496956i | \(-0.165549\pi\) |
0.00351115 | + | 0.999994i | \(0.498882\pi\) | |||||||
\(824\) | 166.565 | + | 96.1665i | 0.202142 | + | 0.116707i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −176.000 | − | 304.841i | −0.213075 | − | 0.369057i | ||||
\(827\) | 158.392 | 0.191526 | 0.0957629 | − | 0.995404i | \(-0.469471\pi\) | ||||
0.0957629 | + | 0.995404i | \(0.469471\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −552.000 | −0.665862 | −0.332931 | − | 0.942951i | \(-0.608038\pi\) | ||||
−0.332931 | + | 0.942951i | \(0.608038\pi\) | |||||||
\(830\) | 38.6370 | + | 10.3528i | 0.0465506 | + | 0.0124732i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −124.708 | − | 72.0000i | −0.149889 | − | 0.0865385i | ||||
\(833\) | −23.3345 | + | 40.4166i | −0.0280126 | + | 0.0485193i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −983.538 | − | 263.538i | −1.17789 | − | 0.315615i | ||||
\(836\) | 543.058i | 0.649591i | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | − | 272.000i | − | 0.324582i | ||||||
\(839\) | 739.746 | − | 427.092i | 0.881700 | − | 0.509049i | 0.0104811 | − | 0.999945i | \(-0.496664\pi\) |
0.871218 | + | 0.490896i | \(0.163330\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 308.500 | − | 534.338i | 0.366825 | − | 0.635360i | ||||
\(842\) | −197.990 | + | 342.929i | −0.235142 | + | 0.407279i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 264.000 | + | 457.261i | 0.312796 | + | 0.541779i | ||||
\(845\) | −548.008 | + | 548.008i | −0.648530 | + | 0.648530i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | − | 28.0000i | − | 0.0330579i | ||||||
\(848\) | −8.48528 | − | 14.6969i | −0.0100062 | − | 0.0173313i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 43.3013 | + | 25.0000i | 0.0509427 | + | 0.0294118i | ||||
\(851\) | −1920.40 | − | 1108.74i | −2.25664 | − | 1.30287i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 741.318 | − | 428.000i | 0.869071 | − | 0.501758i | 0.00203173 | − | 0.999998i | \(-0.499353\pi\) |
0.867039 | + | 0.498239i | \(0.166020\pi\) | |||||||
\(854\) | 622.254i | 0.728635i | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −480.000 | −0.560748 | ||||||||
\(857\) | 277.893 | + | 481.325i | 0.324263 | + | 0.561639i | 0.981363 | − | 0.192164i | \(-0.0615506\pi\) |
−0.657100 | + | 0.753803i | \(0.728217\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −236.000 | + | 408.764i | −0.274738 | + | 0.475860i | −0.970069 | − | 0.242829i | \(-0.921924\pi\) |
0.695331 | + | 0.718690i | \(0.255258\pi\) | |||||||
\(860\) | −772.741 | + | 207.055i | −0.898536 | + | 0.240762i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −117.779 | + | 68.0000i | −0.136635 | + | 0.0788863i | ||||
\(863\) | −441.235 | −0.511280 | −0.255640 | − | 0.966772i | \(-0.582286\pi\) | ||||
−0.255640 | + | 0.966772i | \(0.582286\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 815.000 | − | 815.000i | 0.942197 | − | 0.942197i | ||||
\(866\) | −842.624 | + | 486.489i | −0.973007 | + | 0.561766i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −27.7128 | − | 16.0000i | −0.0319272 | − | 0.0184332i | ||||
\(869\) | 352.727 | + | 203.647i | 0.405899 | + | 0.234346i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 288.000 | + | 498.831i | 0.330654 | + | 0.572710i | ||||
\(872\) | −384.666 | −0.441131 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 1344.00 | 1.53776 | ||||||||
\(875\) | −482.963 | − | 129.410i | −0.551958 | − | 0.147897i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −588.897 | − | 340.000i | −0.671491 | − | 0.387685i | 0.125151 | − | 0.992138i | \(-0.460059\pi\) |
−0.796641 | + | 0.604452i | \(0.793392\pi\) | |||||||
\(878\) | −229.103 | + | 396.817i | −0.260937 | + | 0.451956i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −58.5641 | + | 218.564i | −0.0665501 | + | 0.248368i | ||||
\(881\) | − | 292.742i | − | 0.332284i | −0.986102 | − | 0.166142i | \(-0.946869\pi\) | ||
0.986102 | − | 0.166142i | \(-0.0531310\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 696.000i | − | 0.788222i | −0.919063 | − | 0.394111i | \(-0.871053\pi\) | ||
0.919063 | − | 0.394111i | \(-0.128947\pi\) | |||||||
\(884\) | 44.0908 | − | 25.4558i | 0.0498765 | − | 0.0287962i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 228.000 | − | 394.908i | 0.257336 | − | 0.445720i | ||||
\(887\) | 441.235 | − | 764.241i | 0.497446 | − | 0.861602i | −0.502550 | − | 0.864548i | \(-0.667605\pi\) |
0.999996 | + | 0.00294656i | \(0.000937921\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 56.0000 | + | 96.9948i | 0.0629921 | + | 0.109106i | ||||
\(890\) | 289.914 | + | 289.914i | 0.325746 | + | 0.325746i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | − | 632.000i | − | 0.708520i | ||||||
\(893\) | 339.411 | + | 587.878i | 0.380080 | + | 0.658318i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 792.295 | − | 212.295i | 0.885246 | − | 0.237201i | ||||
\(896\) | −39.1918 | − | 22.6274i | −0.0437409 | − | 0.0252538i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 150.688 | − | 87.0000i | 0.167804 | − | 0.0968820i | ||||
\(899\) | 152.735i | 0.169894i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 6.00000 | 0.00665927 | ||||||||
\(902\) | 192.333 | + | 333.131i | 0.213230 | + | 0.369324i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 18.0000 | − | 31.1769i | 0.0199115 | − | 0.0344877i | ||||
\(905\) | 10.3528 | + | 38.6370i | 0.0114395 | + | 0.0426929i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 457.261 | − | 264.000i | 0.504147 | − | 0.291069i | −0.226277 | − | 0.974063i | \(-0.572656\pi\) |
0.730425 | + | 0.682993i | \(0.239322\pi\) | |||||||
\(908\) | −192.333 | −0.211821 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −360.000 | + | 360.000i | −0.395604 | + | 0.395604i | ||||
\(911\) | −1381.51 | + | 797.616i | −1.51648 | + | 0.875539i | −0.516666 | + | 0.856187i | \(0.672827\pi\) |
−0.999813 | + | 0.0193525i | \(0.993840\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −55.4256 | − | 32.0000i | −0.0607071 | − | 0.0350493i | ||||
\(914\) | −159.217 | − | 91.9239i | −0.174198 | − | 0.100573i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 8.00000 | + | 13.8564i | 0.00873362 | + | 0.0151271i | ||||
\(917\) | 339.411 | 0.370132 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −660.000 | −0.718172 | −0.359086 | − | 0.933304i | \(-0.616912\pi\) | ||||
−0.359086 | + | 0.933304i | \(0.616912\pi\) | |||||||
\(920\) | 540.918 | + | 144.939i | 0.587955 | + | 0.157542i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 576.773 | + | 333.000i | 0.625567 | + | 0.361171i | ||||
\(923\) | −458.205 | + | 793.635i | −0.496430 | + | 0.859843i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 700.000 | + | 1212.44i | 0.756757 | + | 1.31074i | ||||
\(926\) | − | 627.911i | − | 0.678089i | ||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 216.000i | 0.232759i | ||||||||
\(929\) | −870.794 | + | 502.753i | −0.937345 | + | 0.541176i | −0.889127 | − | 0.457660i | \(-0.848688\pi\) |
−0.0482180 | + | 0.998837i | \(0.515354\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 396.000 | − | 685.892i | 0.425349 | − | 0.736726i | ||||
\(932\) | 227.688 | − | 394.368i | 0.244301 | − | 0.423141i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −132.000 | − | 228.631i | −0.141328 | − | 0.244787i | ||||
\(935\) | −56.5685 | − | 56.5685i | −0.0605011 | − | 0.0605011i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 1568.00i | 1.67343i | 0.547642 | + | 0.836713i | \(0.315526\pi\) | ||||
−0.547642 | + | 0.836713i | \(0.684474\pi\) | |||||||
\(938\) | 90.5097 | + | 156.767i | 0.0964922 | + | 0.167129i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 73.2051 | + | 273.205i | 0.0778777 | + | 0.290644i | ||||
\(941\) | −552.360 | − | 318.905i | −0.586992 | − | 0.338900i | 0.176915 | − | 0.984226i | \(-0.443388\pi\) |
−0.763907 | + | 0.645326i | \(0.776722\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 824.456 | − | 476.000i | 0.874291 | − | 0.504772i | ||||
\(944\) | − | 248.902i | − | 0.263667i | ||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1280.00 | 1.35307 | ||||||||
\(947\) | −814.587 | − | 1410.91i | −0.860176 | − | 1.48987i | −0.871758 | − | 0.489936i | \(-0.837020\pi\) |
0.0115819 | − | 0.999933i | \(-0.496313\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −414.000 | + | 717.069i | −0.436249 | + | 0.755605i | ||||
\(950\) | −734.847 | − | 424.264i | −0.773523 | − | 0.446594i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 13.8564 | − | 8.00000i | 0.0145550 | − | 0.00840336i | ||||
\(953\) | −914.996 | −0.960122 | −0.480061 | − | 0.877235i | \(-0.659385\pi\) | ||||
−0.480061 | + | 0.877235i | \(0.659385\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1080.00 | + | 1080.00i | 1.13089 | + | 1.13089i | ||||
\(956\) | −333.131 | + | 192.333i | −0.348463 | + | 0.201185i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 713.605 | + | 412.000i | 0.744890 | + | 0.430063i | ||||
\(959\) | 44.0908 | + | 25.4558i | 0.0459758 | + | 0.0265442i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 472.500 | + | 818.394i | 0.491675 | + | 0.851607i | ||||
\(962\) | 1425.53 | 1.48184 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −256.000 | −0.265560 | ||||||||
\(965\) | −82.8221 | + | 309.096i | −0.0858260 | + | 0.320307i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −433.013 | − | 250.000i | −0.447790 | − | 0.258532i | 0.259107 | − | 0.965849i | \(-0.416572\pi\) |
−0.706896 | + | 0.707317i | \(0.749905\pi\) | |||||||
\(968\) | 9.89949 | − | 17.1464i | 0.0102268 | − | 0.0177133i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 25.6218 | − | 95.6218i | 0.0264142 | − | 0.0985792i | ||||
\(971\) | 1221.88i | 1.25837i | 0.777254 | + | 0.629187i | \(0.216612\pi\) | ||||
−0.777254 | + | 0.629187i | \(0.783388\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 32.0000i | 0.0328880i | ||||||||
\(974\) | 102.879 | − | 59.3970i | 0.105625 | − | 0.0609825i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −220.000 | + | 381.051i | −0.225410 | + | 0.390421i | ||||
\(977\) | 871.863 | − | 1510.11i | 0.892388 | − | 1.54566i | 0.0553827 | − | 0.998465i | \(-0.482362\pi\) |
0.837005 | − | 0.547195i | \(-0.184305\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −328.000 | − | 568.113i | −0.335036 | − | 0.580299i | ||||
\(980\) | 233.345 | − | 233.345i | 0.238107 | − | 0.238107i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 456.000i | 0.464358i | ||||||||
\(983\) | 39.5980 | + | 68.5857i | 0.0402828 | + | 0.0697718i | 0.885464 | − | 0.464708i | \(-0.153841\pi\) |
−0.845181 | + | 0.534480i | \(0.820507\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −298.311 | − | 1113.31i | −0.302854 | − | 1.13026i | ||||
\(986\) | −66.1362 | − | 38.1838i | −0.0670753 | − | 0.0387259i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −748.246 | + | 432.000i | −0.757334 | + | 0.437247i | ||||
\(989\) | − | 3167.84i | − | 3.20307i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 748.000 | 0.754793 | 0.377397 | − | 0.926052i | \(-0.376819\pi\) | ||||
0.377397 | + | 0.926052i | \(0.376819\pi\) | |||||||
\(992\) | −11.3137 | − | 19.5959i | −0.0114049 | − | 0.0197539i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −144.000 | + | 249.415i | −0.144869 | + | 0.250921i | ||||
\(995\) | 388.229 | + | 1448.89i | 0.390179 | + | 1.45617i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −1267.86 | + | 732.000i | −1.27168 | + | 0.734203i | −0.975303 | − | 0.220870i | \(-0.929110\pi\) |
−0.296373 | + | 0.955072i | \(0.595777\pi\) | |||||||
\(998\) | 644.881 | 0.646174 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))