Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(82,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.e (of order \(9\), degree \(6\), 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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{12} + 18x^{10} + 105x^{8} + 266x^{6} + 306x^{4} + 132x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 649.1 | ||
Root | \(1.91182i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.649 |
Dual form | 729.2.e.k.82.1 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.426791 | + | 2.42045i | −0.301787 | + | 1.71152i | 0.336471 | + | 0.941694i | \(0.390767\pi\) |
−0.638258 | + | 0.769823i | \(0.720345\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −3.79704 | − | 1.38201i | −1.89852 | − | 0.691005i | ||||
\(5\) | −2.35962 | + | 1.97995i | −1.05525 | + | 0.885463i | −0.993636 | − | 0.112637i | \(-0.964070\pi\) |
−0.0616172 | + | 0.998100i | \(0.519626\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.49833 | − | 0.909318i | 0.944280 | − | 0.343690i | 0.176425 | − | 0.984314i | \(-0.443547\pi\) |
0.767855 | + | 0.640624i | \(0.221324\pi\) | |||||||
\(8\) | 2.50784 | − | 4.34371i | 0.886656 | − | 1.53573i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.78532 | − | 6.55636i | −1.19702 | − | 2.07330i | ||||
\(11\) | −2.63086 | − | 2.20755i | −0.793233 | − | 0.665602i | 0.153310 | − | 0.988178i | \(-0.451007\pi\) |
−0.946543 | + | 0.322576i | \(0.895451\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.580672 | − | 3.29315i | −0.161049 | − | 0.913357i | −0.953045 | − | 0.302829i | \(-0.902069\pi\) |
0.791995 | − | 0.610527i | \(-0.209042\pi\) | |||||||
\(14\) | 1.13469 | + | 6.43517i | 0.303260 | + | 1.71987i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.25265 | + | 2.72930i | 0.813162 | + | 0.682324i | ||||
\(17\) | −1.28641 | − | 2.22813i | −0.312000 | − | 0.540400i | 0.666795 | − | 0.745241i | \(-0.267666\pi\) |
−0.978795 | + | 0.204841i | \(0.934332\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.04838 | − | 1.81585i | 0.240515 | − | 0.416585i | −0.720346 | − | 0.693615i | \(-0.756017\pi\) |
0.960861 | + | 0.277030i | \(0.0893503\pi\) | |||||||
\(20\) | 11.6959 | − | 4.25696i | 2.61528 | − | 0.951884i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 6.46609 | − | 5.42570i | 1.37858 | − | 1.15676i | ||||
\(23\) | −0.502213 | − | 0.182791i | −0.104719 | − | 0.0381145i | 0.289129 | − | 0.957290i | \(-0.406634\pi\) |
−0.393848 | + | 0.919176i | \(0.628856\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.779336 | − | 4.41984i | 0.155867 | − | 0.883967i | ||||
\(26\) | 8.21874 | 1.61183 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −10.7430 | −2.03023 | ||||||||
\(29\) | 0.439485 | − | 2.49244i | 0.0816103 | − | 0.462835i | −0.916426 | − | 0.400203i | \(-0.868939\pi\) |
0.998037 | − | 0.0626319i | \(-0.0199494\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.24945 | − | 2.63858i | −1.30204 | − | 0.473904i | −0.404379 | − | 0.914592i | \(-0.632512\pi\) |
−0.897660 | + | 0.440688i | \(0.854735\pi\) | |||||||
\(32\) | −0.309858 | + | 0.260001i | −0.0547756 | + | 0.0459622i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 5.94209 | − | 2.16275i | 1.01906 | − | 0.370908i | ||||
\(35\) | −4.09470 | + | 7.09222i | −0.692130 | + | 1.19880i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.14783 | + | 8.91631i | 0.846298 | + | 1.46583i | 0.884489 | + | 0.466561i | \(0.154507\pi\) |
−0.0381907 | + | 0.999270i | \(0.512159\pi\) | |||||||
\(38\) | 3.94774 | + | 3.31254i | 0.640407 | + | 0.537365i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.68280 | + | 15.2149i | 0.424188 | + | 2.40569i | ||||
\(41\) | −0.848272 | − | 4.81079i | −0.132478 | − | 0.751320i | −0.976583 | − | 0.215142i | \(-0.930979\pi\) |
0.844105 | − | 0.536178i | \(-0.180132\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.10010 | + | 1.76220i | 0.320263 | + | 0.268732i | 0.788718 | − | 0.614755i | \(-0.210745\pi\) |
−0.468456 | + | 0.883487i | \(0.655189\pi\) | |||||||
\(44\) | 6.93862 | + | 12.0180i | 1.04604 | + | 1.81179i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.656775 | − | 1.13757i | 0.0968363 | − | 0.167725i | ||||
\(47\) | 5.31678 | − | 1.93515i | 0.775532 | − | 0.282270i | 0.0762235 | − | 0.997091i | \(-0.475714\pi\) |
0.699308 | + | 0.714820i | \(0.253492\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.0524824 | − | 0.0440380i | 0.00749749 | − | 0.00629114i | ||||
\(50\) | 10.3654 | + | 3.77269i | 1.46589 | + | 0.533539i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.34634 | + | 13.3067i | −0.325379 | + | 1.84531i | ||||
\(53\) | 6.42657 | 0.882758 | 0.441379 | − | 0.897321i | \(-0.354489\pi\) | ||||
0.441379 | + | 0.897321i | \(0.354489\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 10.5787 | 1.42643 | ||||||||
\(56\) | 2.31560 | − | 13.1324i | 0.309436 | − | 1.75490i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 5.84527 | + | 2.12750i | 0.767521 | + | 0.279355i | ||||
\(59\) | 1.26777 | − | 1.06378i | 0.165049 | − | 0.138493i | −0.556522 | − | 0.830833i | \(-0.687865\pi\) |
0.721571 | + | 0.692340i | \(0.243420\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −13.5055 | + | 4.91558i | −1.72920 | + | 0.629376i | −0.998573 | − | 0.0534042i | \(-0.982993\pi\) |
−0.730624 | + | 0.682780i | \(0.760771\pi\) | |||||||
\(62\) | 9.48056 | − | 16.4208i | 1.20403 | − | 2.08544i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 3.74896 | + | 6.49338i | 0.468620 | + | 0.811673i | ||||
\(65\) | 7.89046 | + | 6.62088i | 0.978691 | + | 0.821219i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.02087 | − | 5.78967i | −0.124720 | − | 0.707320i | −0.981474 | − | 0.191596i | \(-0.938634\pi\) |
0.856754 | − | 0.515725i | \(-0.172477\pi\) | |||||||
\(68\) | 1.80526 | + | 10.2381i | 0.218920 | + | 1.24155i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −15.4188 | − | 12.9379i | −1.84290 | − | 1.54638i | ||||
\(71\) | −7.40813 | − | 12.8313i | −0.879184 | − | 1.52279i | −0.852238 | − | 0.523154i | \(-0.824755\pi\) |
−0.0269456 | − | 0.999637i | \(-0.508578\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.940699 | + | 1.62934i | −0.110101 | + | 0.190700i | −0.915811 | − | 0.401610i | \(-0.868451\pi\) |
0.805710 | + | 0.592310i | \(0.201784\pi\) | |||||||
\(74\) | −23.7785 | + | 8.65467i | −2.76420 | + | 1.00609i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −6.49027 | + | 5.44599i | −0.744486 | + | 0.624698i | ||||
\(77\) | −8.58012 | − | 3.12291i | −0.977795 | − | 0.355888i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.98562 | − | 16.9323i | 0.335908 | − | 1.90503i | −0.0821680 | − | 0.996618i | \(-0.526184\pi\) |
0.418076 | − | 0.908412i | \(-0.362704\pi\) | |||||||
\(80\) | −13.0789 | −1.46227 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 12.0063 | 1.32588 | ||||||||
\(83\) | 0.689172 | − | 3.90849i | 0.0756465 | − | 0.429013i | −0.923339 | − | 0.383985i | \(-0.874551\pi\) |
0.998986 | − | 0.0450274i | \(-0.0143375\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 7.44702 | + | 2.71049i | 0.807743 | + | 0.293994i | ||||
\(86\) | −5.16161 | + | 4.33111i | −0.556591 | + | 0.467035i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −16.1867 | + | 5.89149i | −1.72551 | + | 0.628035i | ||||
\(89\) | −2.54940 | + | 4.41569i | −0.270236 | + | 0.468062i | −0.968922 | − | 0.247366i | \(-0.920435\pi\) |
0.698686 | + | 0.715428i | \(0.253768\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.44523 | − | 7.69937i | −0.465987 | − | 0.807113i | ||||
\(92\) | 1.65431 | + | 1.38813i | 0.172473 | + | 0.144722i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 2.41478 | + | 13.6949i | 0.249066 | + | 1.41252i | ||||
\(95\) | 1.12152 | + | 6.36046i | 0.115066 | + | 0.652570i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −8.14449 | − | 6.83404i | −0.826948 | − | 0.693892i | 0.127640 | − | 0.991821i | \(-0.459260\pi\) |
−0.954588 | + | 0.297929i | \(0.903704\pi\) | |||||||
\(98\) | 0.0841927 | + | 0.145826i | 0.00850475 | + | 0.0147307i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −9.06744 | + | 15.7053i | −0.906744 | + | 1.57053i | ||||
\(101\) | −5.31686 | + | 1.93518i | −0.529048 | + | 0.192558i | −0.592713 | − | 0.805414i | \(-0.701943\pi\) |
0.0636653 | + | 0.997971i | \(0.479721\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 7.94429 | − | 6.66605i | 0.782775 | − | 0.656826i | −0.161171 | − | 0.986926i | \(-0.551527\pi\) |
0.943946 | + | 0.330101i | \(0.107083\pi\) | |||||||
\(104\) | −15.7607 | − | 5.73644i | −1.54547 | − | 0.562504i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.74280 | + | 15.5552i | −0.266404 | + | 1.51085i | ||||
\(107\) | −14.2457 | −1.37719 | −0.688594 | − | 0.725147i | \(-0.741772\pi\) | ||||
−0.688594 | + | 0.725147i | \(0.741772\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.76064 | 0.551769 | 0.275884 | − | 0.961191i | \(-0.411029\pi\) | ||||
0.275884 | + | 0.961191i | \(0.411029\pi\) | |||||||
\(110\) | −4.51488 | + | 25.6051i | −0.430477 | + | 2.44136i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 10.6080 | + | 3.86099i | 1.00236 | + | 0.364830i | ||||
\(113\) | −8.74569 | + | 7.33851i | −0.822726 | + | 0.690349i | −0.953609 | − | 0.301049i | \(-0.902663\pi\) |
0.130883 | + | 0.991398i | \(0.458219\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.54695 | − | 0.563043i | 0.144254 | − | 0.0525040i | ||||
\(116\) | −5.11333 | + | 8.85654i | −0.474761 | + | 0.822309i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 2.03376 | + | 3.52257i | 0.187223 | + | 0.324279i | ||||
\(119\) | −5.23995 | − | 4.39684i | −0.480345 | − | 0.403058i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.137998 | + | 0.782623i | 0.0125452 | + | 0.0711475i | ||||
\(122\) | −6.13392 | − | 34.7872i | −0.555339 | − | 3.14949i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 23.8799 | + | 20.0376i | 2.14448 | + | 1.79943i | ||||
\(125\) | −0.788517 | − | 1.36575i | −0.0705271 | − | 0.122157i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.29510 | + | 2.24317i | −0.114921 | + | 0.199049i | −0.917748 | − | 0.397163i | \(-0.869995\pi\) |
0.802827 | + | 0.596212i | \(0.203328\pi\) | |||||||
\(128\) | −18.0771 | + | 6.57954i | −1.59781 | + | 0.581554i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −19.3931 | + | 16.2727i | −1.70089 | + | 1.42721i | ||||
\(131\) | 4.14497 | + | 1.50865i | 0.362148 | + | 0.131811i | 0.516684 | − | 0.856176i | \(-0.327166\pi\) |
−0.154536 | + | 0.987987i | \(0.549388\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.968018 | − | 5.48990i | 0.0839378 | − | 0.476035i | ||||
\(134\) | 14.4493 | 1.24823 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −12.9044 | −1.10655 | ||||||||
\(137\) | 3.15479 | − | 17.8917i | 0.269531 | − | 1.52859i | −0.486282 | − | 0.873802i | \(-0.661647\pi\) |
0.755813 | − | 0.654787i | \(-0.227242\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.83987 | − | 0.669656i | −0.156055 | − | 0.0567995i | 0.262811 | − | 0.964847i | \(-0.415350\pi\) |
−0.418867 | + | 0.908048i | \(0.637573\pi\) | |||||||
\(140\) | 25.3493 | − | 21.2706i | 2.14240 | − | 1.79769i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 34.2192 | − | 12.4548i | 2.87161 | − | 1.04518i | ||||
\(143\) | −5.74214 | + | 9.94568i | −0.480182 | + | 0.831700i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.89791 | + | 6.75138i | 0.323704 | + | 0.560671i | ||||
\(146\) | −3.54225 | − | 2.97230i | −0.293159 | − | 0.245989i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −7.22411 | − | 40.9700i | −0.593818 | − | 3.36771i | ||||
\(149\) | 1.27027 | + | 7.20405i | 0.104065 | + | 0.590179i | 0.991590 | + | 0.129420i | \(0.0413116\pi\) |
−0.887525 | + | 0.460759i | \(0.847577\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.71607 | + | 3.11815i | 0.302410 | + | 0.253752i | 0.781346 | − | 0.624098i | \(-0.214533\pi\) |
−0.478937 | + | 0.877849i | \(0.658978\pi\) | |||||||
\(152\) | −5.25835 | − | 9.10773i | −0.426508 | − | 0.738734i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 11.2208 | − | 19.4349i | 0.904194 | − | 1.56611i | ||||
\(155\) | 22.3302 | − | 8.12753i | 1.79361 | − | 0.652819i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.13122 | − | 0.949206i | 0.0902812 | − | 0.0757549i | −0.596530 | − | 0.802591i | \(-0.703454\pi\) |
0.686811 | + | 0.726836i | \(0.259010\pi\) | |||||||
\(158\) | 39.7095 | + | 14.4531i | 3.15912 | + | 1.14983i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.216355 | − | 1.22701i | 0.0171043 | − | 0.0970035i | ||||
\(161\) | −1.42091 | −0.111983 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −17.2536 | −1.35141 | −0.675703 | − | 0.737174i | \(-0.736160\pi\) | ||||
−0.675703 | + | 0.737174i | \(0.736160\pi\) | |||||||
\(164\) | −3.42764 | + | 19.4391i | −0.267654 | + | 1.51794i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 9.16617 | + | 3.33621i | 0.711433 | + | 0.258940i | ||||
\(167\) | 5.24002 | − | 4.39690i | 0.405485 | − | 0.340242i | −0.417124 | − | 0.908850i | \(-0.636962\pi\) |
0.822609 | + | 0.568607i | \(0.192518\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.70832 | − | 0.621778i | 0.131409 | − | 0.0478291i | ||||
\(170\) | −9.73894 | + | 16.8683i | −0.746942 | + | 1.29374i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −5.53881 | − | 9.59350i | −0.422330 | − | 0.731497i | ||||
\(173\) | −18.3601 | − | 15.4059i | −1.39589 | − | 1.17129i | −0.962889 | − | 0.269899i | \(-0.913010\pi\) |
−0.433002 | − | 0.901393i | \(-0.642546\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.07200 | − | 11.7509i | −0.156628 | − | 0.888283i | ||||
\(176\) | −2.53219 | − | 14.3608i | −0.190871 | − | 1.08248i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −9.59989 | − | 8.05527i | −0.719542 | − | 0.603768i | ||||
\(179\) | 10.2861 | + | 17.8161i | 0.768820 | + | 1.33163i | 0.938203 | + | 0.346084i | \(0.112489\pi\) |
−0.169384 | + | 0.985550i | \(0.554178\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.73507 | − | 13.3975i | 0.574943 | − | 0.995830i | −0.421105 | − | 0.907012i | \(-0.638358\pi\) |
0.996048 | − | 0.0888184i | \(-0.0283091\pi\) | |||||||
\(182\) | 20.5331 | − | 7.47345i | 1.52202 | − | 0.553969i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −2.05346 | + | 1.72306i | −0.151383 | + | 0.127025i | ||||
\(185\) | −29.8008 | − | 10.8466i | −2.19100 | − | 0.797458i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.53434 | + | 8.70170i | −0.112202 | + | 0.636331i | ||||
\(188\) | −22.8624 | −1.66741 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −15.8738 | −1.15161 | ||||||||
\(191\) | −1.90159 | + | 10.7845i | −0.137595 | + | 0.780338i | 0.835423 | + | 0.549607i | \(0.185223\pi\) |
−0.973018 | + | 0.230730i | \(0.925888\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.07581 | − | 0.391562i | −0.0774384 | − | 0.0281853i | 0.303010 | − | 0.952987i | \(-0.402008\pi\) |
−0.380449 | + | 0.924802i | \(0.624230\pi\) | |||||||
\(194\) | 20.0174 | − | 16.7966i | 1.43717 | − | 1.20593i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.260139 | + | 0.0946828i | −0.0185814 | + | 0.00676306i | ||||
\(197\) | 2.52097 | − | 4.36645i | 0.179612 | − | 0.311097i | −0.762136 | − | 0.647417i | \(-0.775849\pi\) |
0.941748 | + | 0.336320i | \(0.109182\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.86291 | − | 11.8869i | −0.486499 | − | 0.842640i | 0.513381 | − | 0.858161i | \(-0.328393\pi\) |
−0.999880 | + | 0.0155206i | \(0.995059\pi\) | |||||||
\(200\) | −17.2440 | − | 14.4695i | −1.21934 | − | 1.02315i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.41482 | − | 13.6951i | −0.169906 | − | 0.963585i | ||||
\(203\) | −1.16844 | − | 6.62658i | −0.0820087 | − | 0.465095i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 11.5268 | + | 9.67209i | 0.805063 | + | 0.675528i | ||||
\(206\) | 12.7443 | + | 22.0738i | 0.887938 | + | 1.53795i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 7.09927 | − | 12.2963i | 0.492246 | − | 0.852595i | ||||
\(209\) | −6.76673 | + | 2.46289i | −0.468064 | + | 0.170361i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.46997 | + | 3.75075i | −0.307725 | + | 0.258212i | −0.783551 | − | 0.621327i | \(-0.786594\pi\) |
0.475826 | + | 0.879540i | \(0.342149\pi\) | |||||||
\(212\) | −24.4020 | − | 8.88159i | −1.67593 | − | 0.609990i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 6.07995 | − | 34.4811i | 0.415617 | − | 2.35708i | ||||
\(215\) | −8.44451 | −0.575911 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −20.5108 | −1.39237 | ||||||||
\(218\) | −2.45859 | + | 13.9433i | −0.166516 | + | 0.944362i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −40.1677 | − | 14.6198i | −2.70810 | − | 0.985669i | ||||
\(221\) | −6.59058 | + | 5.53015i | −0.443330 | + | 0.371998i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −8.20228 | + | 2.98538i | −0.549265 | + | 0.199916i | −0.601720 | − | 0.798707i | \(-0.705518\pi\) |
0.0524549 | + | 0.998623i | \(0.483295\pi\) | |||||||
\(224\) | −0.537703 | + | 0.931329i | −0.0359268 | + | 0.0622270i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −14.0299 | − | 24.3005i | −0.933256 | − | 1.61645i | ||||
\(227\) | 18.6015 | + | 15.6085i | 1.23462 | + | 1.03597i | 0.997925 | + | 0.0643900i | \(0.0205101\pi\) |
0.236700 | + | 0.971583i | \(0.423934\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.15196 | + | 17.8757i | 0.208288 | + | 1.18126i | 0.892182 | + | 0.451676i | \(0.149174\pi\) |
−0.683894 | + | 0.729581i | \(0.739715\pi\) | |||||||
\(230\) | 0.702595 | + | 3.98461i | 0.0463277 | + | 0.262738i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −9.72429 | − | 8.15965i | −0.638431 | − | 0.535707i | ||||
\(233\) | −5.26900 | − | 9.12617i | −0.345183 | − | 0.597875i | 0.640204 | − | 0.768205i | \(-0.278850\pi\) |
−0.985387 | + | 0.170330i | \(0.945517\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −8.71406 | + | 15.0932i | −0.568442 | + | 0.984571i | ||||
\(236\) | −6.28392 | + | 2.28716i | −0.409048 | + | 0.148881i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 12.8787 | − | 10.8065i | 0.834801 | − | 0.700482i | ||||
\(239\) | 8.96147 | + | 3.26171i | 0.579670 | + | 0.210982i | 0.615180 | − | 0.788387i | \(-0.289083\pi\) |
−0.0355102 | + | 0.999369i | \(0.511306\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.22201 | + | 6.93037i | −0.0787166 | + | 0.446424i | 0.919820 | + | 0.392341i | \(0.128335\pi\) |
−0.998536 | + | 0.0540831i | \(0.982776\pi\) | |||||||
\(242\) | −1.95320 | −0.125556 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 58.0742 | 3.71782 | ||||||||
\(245\) | −0.0366453 | + | 0.207826i | −0.00234118 | + | 0.0132775i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −6.58864 | − | 2.39807i | −0.419225 | − | 0.152585i | ||||
\(248\) | −29.6417 | + | 24.8723i | −1.88225 | + | 1.57940i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 3.64227 | − | 1.32568i | 0.230357 | − | 0.0838431i | ||||
\(251\) | 7.79350 | − | 13.4987i | 0.491921 | − | 0.852033i | −0.508035 | − | 0.861336i | \(-0.669628\pi\) |
0.999957 | + | 0.00930331i | \(0.00296138\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.917731 | + | 1.58956i | 0.0576973 | + | 0.0999346i | ||||
\(254\) | −4.87676 | − | 4.09208i | −0.305995 | − | 0.256760i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −5.60629 | − | 31.7949i | −0.350393 | − | 1.98718i | ||||
\(257\) | −2.11673 | − | 12.0046i | −0.132038 | − | 0.748825i | −0.976877 | − | 0.213804i | \(-0.931415\pi\) |
0.844838 | − | 0.535021i | \(-0.179696\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 20.9687 | + | 17.5949i | 1.30293 | + | 1.09329i | ||||
\(260\) | −20.8103 | − | 36.0445i | −1.29060 | − | 2.23538i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −5.42064 | + | 9.38882i | −0.334888 | + | 0.580043i | ||||
\(263\) | −6.47414 | + | 2.35639i | −0.399212 | + | 0.145301i | −0.533821 | − | 0.845597i | \(-0.679244\pi\) |
0.134609 | + | 0.990899i | \(0.457022\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −15.1643 | + | 12.7243i | −0.931533 | + | 0.781649i | ||||
\(266\) | 12.8749 | + | 4.68608i | 0.789411 | + | 0.287322i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −4.12508 | + | 23.3945i | −0.251979 | + | 1.42905i | ||||
\(269\) | −7.05875 | −0.430380 | −0.215190 | − | 0.976572i | \(-0.569037\pi\) | ||||
−0.215190 | + | 0.976572i | \(0.569037\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 23.7575 | 1.44316 | 0.721581 | − | 0.692330i | \(-0.243416\pi\) | ||||
0.721581 | + | 0.692330i | \(0.243416\pi\) | |||||||
\(272\) | 1.89698 | − | 10.7583i | 0.115021 | − | 0.652318i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 41.9595 | + | 15.2720i | 2.53486 | + | 0.922615i | ||||
\(275\) | −11.8073 | + | 9.90754i | −0.712009 | + | 0.597447i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.0981638 | − | 0.0357287i | 0.00589809 | − | 0.00214673i | −0.339069 | − | 0.940761i | \(-0.610112\pi\) |
0.344968 | + | 0.938615i | \(0.387890\pi\) | |||||||
\(278\) | 2.40611 | − | 4.16750i | 0.144309 | − | 0.249950i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 20.5377 | + | 35.5723i | 1.22736 | + | 2.12585i | ||||
\(281\) | −6.24495 | − | 5.24013i | −0.372542 | − | 0.312600i | 0.437224 | − | 0.899353i | \(-0.355962\pi\) |
−0.809766 | + | 0.586753i | \(0.800406\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 4.10087 | + | 23.2572i | 0.243772 | + | 1.38250i | 0.823328 | + | 0.567565i | \(0.192115\pi\) |
−0.579557 | + | 0.814932i | \(0.696774\pi\) | |||||||
\(284\) | 10.3961 | + | 58.9590i | 0.616893 | + | 3.49857i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −21.6223 | − | 18.1433i | −1.27856 | − | 1.07284i | ||||
\(287\) | −6.49380 | − | 11.2476i | −0.383317 | − | 0.663925i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.19030 | − | 8.98987i | 0.305312 | − | 0.528816i | ||||
\(290\) | −18.0050 | + | 6.55327i | −1.05729 | + | 0.384821i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 5.82364 | − | 4.88661i | 0.340803 | − | 0.285967i | ||||
\(293\) | 20.3216 | + | 7.39644i | 1.18720 | + | 0.432105i | 0.858739 | − | 0.512413i | \(-0.171248\pi\) |
0.328459 | + | 0.944518i | \(0.393471\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.885203 | + | 5.02024i | −0.0515385 | + | 0.292289i | ||||
\(296\) | 51.6398 | 3.00150 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −17.9792 | −1.04151 | ||||||||
\(299\) | −0.310337 | + | 1.76001i | −0.0179472 | + | 0.101784i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 6.84915 | + | 2.49289i | 0.394778 | + | 0.143688i | ||||
\(302\) | −9.13332 | + | 7.66377i | −0.525564 | + | 0.441000i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 8.36601 | − | 3.04498i | 0.479824 | − | 0.174642i | ||||
\(305\) | 22.1351 | − | 38.3391i | 1.26745 | − | 2.19529i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −8.17997 | − | 14.1681i | −0.466855 | − | 0.808617i | 0.532428 | − | 0.846475i | \(-0.321280\pi\) |
−0.999283 | + | 0.0378581i | \(0.987946\pi\) | |||||||
\(308\) | 28.2632 | + | 23.7156i | 1.61044 | + | 1.35132i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 10.1420 | + | 57.5179i | 0.576025 | + | 3.26680i | ||||
\(311\) | −1.34662 | − | 7.63705i | −0.0763597 | − | 0.433057i | −0.998889 | − | 0.0471298i | \(-0.984993\pi\) |
0.922529 | − | 0.385928i | \(-0.126119\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 11.8109 | + | 9.91053i | 0.667592 | + | 0.560177i | 0.912352 | − | 0.409407i | \(-0.134264\pi\) |
−0.244759 | + | 0.969584i | \(0.578709\pi\) | |||||||
\(314\) | 1.81471 | + | 3.14317i | 0.102410 | + | 0.177380i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −34.7371 | + | 60.1664i | −1.95412 | + | 3.38463i | ||||
\(317\) | −8.11538 | + | 2.95376i | −0.455805 | + | 0.165899i | −0.559711 | − | 0.828688i | \(-0.689088\pi\) |
0.103906 | + | 0.994587i | \(0.466866\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −6.65842 | + | 5.58708i | −0.372800 | + | 0.312816i | ||||
\(320\) | −21.7027 | − | 7.89914i | −1.21322 | − | 0.441575i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.606431 | − | 3.43924i | 0.0337951 | − | 0.191661i | ||||
\(323\) | −5.39459 | −0.300163 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −15.0077 | −0.832480 | ||||||||
\(326\) | 7.36368 | − | 41.7615i | 0.407836 | − | 2.31295i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −23.0240 | − | 8.38005i | −1.27129 | − | 0.462711i | ||||
\(329\) | 11.5234 | − | 9.66928i | 0.635306 | − | 0.533085i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −19.3055 | + | 7.02664i | −1.06113 | + | 0.386219i | −0.812852 | − | 0.582470i | \(-0.802086\pi\) |
−0.248276 | + | 0.968689i | \(0.579864\pi\) | |||||||
\(332\) | −8.01839 | + | 13.8883i | −0.440066 | + | 0.762217i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 8.40609 | + | 14.5598i | 0.459961 | + | 0.796675i | ||||
\(335\) | 13.8722 | + | 11.6401i | 0.757917 | + | 0.635968i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.77459 | + | 15.7355i | 0.151141 | + | 0.857165i | 0.962229 | + | 0.272241i | \(0.0877647\pi\) |
−0.811088 | + | 0.584924i | \(0.801124\pi\) | |||||||
\(338\) | 0.775887 | + | 4.40028i | 0.0422027 | + | 0.239343i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −24.5307 | − | 20.5837i | −1.33037 | − | 1.11631i | ||||
\(341\) | 13.2475 | + | 22.9453i | 0.717390 | + | 1.24256i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −9.21426 | + | 15.9596i | −0.497523 | + | 0.861736i | ||||
\(344\) | 12.9212 | − | 4.70293i | 0.696664 | − | 0.253565i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 45.1252 | − | 37.8645i | 2.42595 | − | 2.03561i | ||||
\(347\) | 9.21300 | + | 3.35326i | 0.494580 | + | 0.180012i | 0.577255 | − | 0.816564i | \(-0.304124\pi\) |
−0.0826746 | + | 0.996577i | \(0.526346\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.63837 | + | 9.29164i | −0.0876997 | + | 0.497370i | 0.909042 | + | 0.416705i | \(0.136815\pi\) |
−0.996741 | + | 0.0806644i | \(0.974296\pi\) | |||||||
\(350\) | 29.3267 | 1.56758 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.38916 | 0.0740424 | ||||||||
\(353\) | −0.587827 | + | 3.33374i | −0.0312869 | + | 0.177437i | −0.996447 | − | 0.0842237i | \(-0.973159\pi\) |
0.965160 | + | 0.261661i | \(0.0842701\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 42.8857 | + | 15.6091i | 2.27614 | + | 0.828446i | ||||
\(356\) | 15.7827 | − | 13.2433i | 0.836482 | − | 0.701891i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −47.5129 | + | 17.2933i | −2.51113 | + | 0.913978i | ||||
\(359\) | −17.6137 | + | 30.5078i | −0.929614 | + | 1.61014i | −0.145646 | + | 0.989337i | \(0.546526\pi\) |
−0.783968 | + | 0.620801i | \(0.786807\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.30179 | + | 12.6471i | 0.384305 | + | 0.665636i | ||||
\(362\) | 29.1268 | + | 24.4403i | 1.53087 | + | 1.28455i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 6.23813 | + | 35.3782i | 0.326967 | + | 1.85432i | ||||
\(365\) | −1.00633 | − | 5.70716i | −0.0526735 | − | 0.298726i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −24.1652 | − | 20.2770i | −1.26141 | − | 1.05845i | −0.995530 | − | 0.0944462i | \(-0.969892\pi\) |
−0.265883 | − | 0.964005i | \(-0.585664\pi\) | |||||||
\(368\) | −1.13463 | − | 1.96524i | −0.0591469 | − | 0.102445i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 38.9724 | − | 67.5021i | 2.02608 | − | 3.50927i | ||||
\(371\) | 16.0557 | − | 5.84380i | 0.833571 | − | 0.303395i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 11.0635 | − | 9.28334i | 0.572844 | − | 0.480673i | −0.309744 | − | 0.950820i | \(-0.600243\pi\) |
0.882588 | + | 0.470147i | \(0.155799\pi\) | |||||||
\(374\) | −20.4072 | − | 7.42760i | −1.05523 | − | 0.384072i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 4.92791 | − | 27.9476i | 0.254138 | − | 1.44129i | ||||
\(377\) | −8.46320 | −0.435877 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1.00099 | 0.0514176 | 0.0257088 | − | 0.999669i | \(-0.491816\pi\) | ||||
0.0257088 | + | 0.999669i | \(0.491816\pi\) | |||||||
\(380\) | 4.53176 | − | 25.7009i | 0.232474 | − | 1.31843i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −25.2917 | − | 9.20543i | −1.29404 | − | 0.470991i | ||||
\(383\) | 3.15407 | − | 2.64658i | 0.161165 | − | 0.135234i | −0.558639 | − | 0.829411i | \(-0.688676\pi\) |
0.719804 | + | 0.694177i | \(0.244232\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 26.4290 | − | 9.61937i | 1.34695 | − | 0.490249i | ||||
\(386\) | 1.40690 | − | 2.43683i | 0.0716094 | − | 0.124031i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 21.4803 | + | 37.2049i | 1.09050 | + | 1.88879i | ||||
\(389\) | −11.8889 | − | 9.97601i | −0.602793 | − | 0.505804i | 0.289549 | − | 0.957163i | \(-0.406495\pi\) |
−0.892342 | + | 0.451359i | \(0.850939\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.238771 | + | 1.35414i | 0.0120752 | + | 0.0684817i | ||||
\(392\) | −0.0596706 | − | 0.338409i | −0.00301382 | − | 0.0170922i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 9.49286 | + | 7.96545i | 0.478243 | + | 0.401294i | ||||
\(395\) | 26.4802 | + | 45.8651i | 1.33237 | + | 2.30772i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0.774463 | − | 1.34141i | 0.0388692 | − | 0.0673234i | −0.845936 | − | 0.533284i | \(-0.820958\pi\) |
0.884806 | + | 0.465960i | \(0.154291\pi\) | |||||||
\(398\) | 31.7007 | − | 11.5381i | 1.58901 | − | 0.578353i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 14.5980 | − | 12.2491i | 0.729898 | − | 0.612457i | ||||
\(401\) | −7.46809 | − | 2.71816i | −0.372939 | − | 0.135739i | 0.148749 | − | 0.988875i | \(-0.452475\pi\) |
−0.521688 | + | 0.853136i | \(0.674697\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −4.47971 | + | 25.4057i | −0.223150 | + | 1.26555i | ||||
\(404\) | 22.8628 | 1.13747 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 16.5380 | 0.820766 | ||||||||
\(407\) | 6.13999 | − | 34.8216i | 0.304348 | − | 1.72604i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −24.8599 | − | 9.04828i | −1.22925 | − | 0.447409i | −0.355906 | − | 0.934522i | \(-0.615828\pi\) |
−0.873339 | + | 0.487113i | \(0.838050\pi\) | |||||||
\(410\) | −28.3303 | + | 23.7720i | −1.39914 | + | 1.17401i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −39.3774 | + | 14.3322i | −1.93998 | + | 0.706097i | ||||
\(413\) | 2.19998 | − | 3.81048i | 0.108254 | − | 0.187501i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 6.11245 | + | 10.5871i | 0.300048 | + | 0.519699i | ||||
\(416\) | 1.03615 | + | 0.869434i | 0.0508015 | + | 0.0426275i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −3.07332 | − | 17.4297i | −0.150321 | − | 0.852512i | ||||
\(419\) | 6.65767 | + | 37.7575i | 0.325248 | + | 1.84458i | 0.507923 | + | 0.861402i | \(0.330413\pi\) |
−0.182675 | + | 0.983173i | \(0.558476\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.62621 | + | 4.72095i | 0.274205 | + | 0.230085i | 0.769511 | − | 0.638633i | \(-0.220500\pi\) |
−0.495307 | + | 0.868718i | \(0.664944\pi\) | |||||||
\(422\) | −7.17076 | − | 12.4201i | −0.349067 | − | 0.604602i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 16.1168 | − | 27.9152i | 0.782702 | − | 1.35568i | ||||
\(425\) | −10.8505 | + | 3.94926i | −0.526326 | + | 0.191567i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −29.2713 | + | 24.5615i | −1.41654 | + | 1.18861i | ||||
\(428\) | 54.0917 | + | 19.6878i | 2.61462 | + | 0.951644i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 3.60404 | − | 20.4395i | 0.173802 | − | 0.985681i | ||||
\(431\) | −15.8463 | −0.763289 | −0.381644 | − | 0.924309i | \(-0.624642\pi\) | ||||
−0.381644 | + | 0.924309i | \(0.624642\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −23.8507 | −1.14619 | −0.573097 | − | 0.819488i | \(-0.694258\pi\) | ||||
−0.573097 | + | 0.819488i | \(0.694258\pi\) | |||||||
\(434\) | 8.75383 | − | 49.6454i | 0.420197 | − | 2.38306i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −21.8734 | − | 7.96126i | −1.04755 | − | 0.381275i | ||||
\(437\) | −0.858431 | + | 0.720309i | −0.0410643 | + | 0.0344571i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 20.1751 | − | 7.34315i | 0.962907 | − | 0.350469i | 0.187735 | − | 0.982220i | \(-0.439885\pi\) |
0.775172 | + | 0.631750i | \(0.217663\pi\) | |||||||
\(440\) | 26.5296 | − | 45.9507i | 1.26475 | − | 2.19061i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −10.5727 | − | 18.3124i | −0.502890 | − | 0.871031i | ||||
\(443\) | 24.1671 | + | 20.2786i | 1.14821 | + | 0.963466i | 0.999676 | − | 0.0254409i | \(-0.00809897\pi\) |
0.148538 | + | 0.988907i | \(0.452543\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −2.72725 | − | 15.4670i | −0.129284 | − | 0.733208i | ||||
\(446\) | −3.72532 | − | 21.1273i | −0.176399 | − | 1.00041i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 15.2707 | + | 12.8136i | 0.721472 | + | 0.605387i | ||||
\(449\) | −10.3949 | − | 18.0045i | −0.490565 | − | 0.849684i | 0.509376 | − | 0.860544i | \(-0.329876\pi\) |
−0.999941 | + | 0.0108605i | \(0.996543\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −8.38839 | + | 14.5291i | −0.394994 | + | 0.684149i | ||||
\(452\) | 43.3497 | − | 15.7780i | 2.03900 | − | 0.742134i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −45.7186 | + | 38.3624i | −2.14568 | + | 1.80044i | ||||
\(455\) | 25.7335 | + | 9.36621i | 1.20640 | + | 0.439095i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −3.02629 | + | 17.1630i | −0.141564 | + | 0.802850i | 0.828498 | + | 0.559992i | \(0.189196\pi\) |
−0.970062 | + | 0.242858i | \(0.921915\pi\) | |||||||
\(458\) | −44.6124 | −2.08460 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −6.65196 | −0.310149 | ||||||||
\(461\) | −5.38387 | + | 30.5334i | −0.250752 | + | 1.42208i | 0.555994 | + | 0.831186i | \(0.312338\pi\) |
−0.806746 | + | 0.590898i | \(0.798774\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −6.09668 | − | 2.21901i | −0.283337 | − | 0.103126i | 0.196443 | − | 0.980515i | \(-0.437061\pi\) |
−0.479779 | + | 0.877389i | \(0.659283\pi\) | |||||||
\(464\) | 8.23211 | − | 6.90756i | 0.382166 | − | 0.320676i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 24.3382 | − | 8.85838i | 1.12745 | − | 0.410357i | ||||
\(467\) | −0.971950 | + | 1.68347i | −0.0449765 | + | 0.0779016i | −0.887637 | − | 0.460543i | \(-0.847655\pi\) |
0.842661 | + | 0.538445i | \(0.180988\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −7.81513 | − | 13.5362i | −0.360869 | − | 0.625044i | ||||
\(470\) | −32.8132 | − | 27.5336i | −1.51356 | − | 1.27003i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −1.44140 | − | 8.17460i | −0.0663459 | − | 0.376266i | ||||
\(473\) | −1.63493 | − | 9.27217i | −0.0751744 | − | 0.426335i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −7.20872 | − | 6.04883i | −0.330759 | − | 0.277540i | ||||
\(476\) | 13.8198 | + | 23.9367i | 0.633431 | + | 1.09713i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −11.7195 | + | 20.2987i | −0.536036 | + | 0.928442i | ||||
\(479\) | −1.24922 | + | 0.454678i | −0.0570783 | + | 0.0207748i | −0.370402 | − | 0.928872i | \(-0.620780\pi\) |
0.313323 | + | 0.949647i | \(0.398558\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 26.3736 | − | 22.1300i | 1.20253 | − | 1.00904i | ||||
\(482\) | −16.2531 | − | 5.91563i | −0.740307 | − | 0.269450i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.557611 | − | 3.16237i | 0.0253459 | − | 0.143744i | ||||
\(485\) | 32.7490 | 1.48705 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 21.2040 | 0.960844 | 0.480422 | − | 0.877037i | \(-0.340484\pi\) | ||||
0.480422 | + | 0.877037i | \(0.340484\pi\) | |||||||
\(488\) | −12.5177 | + | 70.9913i | −0.566649 | + | 3.21362i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.487392 | − | 0.177396i | −0.0220181 | − | 0.00801394i | ||||
\(491\) | 20.6910 | − | 17.3618i | 0.933770 | − | 0.783526i | −0.0427200 | − | 0.999087i | \(-0.513602\pi\) |
0.976490 | + | 0.215561i | \(0.0691579\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −6.11884 | + | 2.22707i | −0.275578 | + | 0.100302i | ||||
\(494\) | 8.61638 | − | 14.9240i | 0.387669 | − | 0.671463i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −16.3784 | − | 28.3683i | −0.735414 | − | 1.27377i | ||||
\(497\) | −30.1757 | − | 25.3204i | −1.35356 | − | 1.13577i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 2.61148 | + | 14.8104i | 0.116906 | + | 0.663006i | 0.985789 | + | 0.167989i | \(0.0537273\pi\) |
−0.868883 | + | 0.495018i | \(0.835162\pi\) | |||||||
\(500\) | 1.10655 | + | 6.27556i | 0.0494864 | + | 0.280651i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 29.3468 | + | 24.6249i | 1.30981 | + | 1.09906i | ||||
\(503\) | −2.30325 | − | 3.98934i | −0.102697 | − | 0.177876i | 0.810098 | − | 0.586294i | \(-0.199414\pi\) |
−0.912795 | + | 0.408418i | \(0.866080\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 8.71420 | − | 15.0934i | 0.387777 | − | 0.671649i | ||||
\(506\) | −4.23912 | + | 1.54291i | −0.188452 | + | 0.0685909i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 8.01763 | − | 6.72759i | 0.355725 | − | 0.298489i | ||||
\(509\) | −27.9997 | − | 10.1911i | −1.24106 | − | 0.451711i | −0.363692 | − | 0.931519i | \(-0.618484\pi\) |
−0.877373 | + | 0.479809i | \(0.840706\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.868590 | + | 4.92602i | −0.0384242 | + | 0.217914i | ||||
\(512\) | 40.8760 | 1.80648 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 29.9599 | 1.32147 | ||||||||
\(515\) | −5.54702 | + | 31.4587i | −0.244431 | + | 1.38624i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −18.2596 | − | 6.64596i | −0.803057 | − | 0.292289i | ||||
\(518\) | −51.5367 | + | 43.2445i | −2.26439 | + | 1.90005i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 48.5472 | − | 17.6697i | 2.12894 | − | 0.774869i | ||||
\(521\) | 5.88104 | − | 10.1863i | 0.257653 | − | 0.446268i | −0.707960 | − | 0.706253i | \(-0.750384\pi\) |
0.965613 | + | 0.259985i | \(0.0837175\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −14.6926 | − | 25.4484i | −0.642464 | − | 1.11278i | −0.984881 | − | 0.173232i | \(-0.944579\pi\) |
0.342417 | − | 0.939548i | \(-0.388754\pi\) | |||||||
\(524\) | −13.6537 | − | 11.4568i | −0.596463 | − | 0.500492i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −2.94043 | − | 16.6760i | −0.128209 | − | 0.727109i | ||||
\(527\) | 3.44666 | + | 19.5470i | 0.150139 | + | 0.851480i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −17.4002 | − | 14.6005i | −0.756531 | − | 0.634805i | ||||
\(530\) | −24.3266 | − | 42.1350i | −1.05668 | − | 1.83023i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −11.2627 | + | 19.5076i | −0.488301 | + | 0.845761i | ||||
\(533\) | −15.3501 | + | 5.58698i | −0.664887 | + | 0.241999i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 33.6145 | − | 28.2059i | 1.45328 | − | 1.21945i | ||||
\(536\) | −27.7088 | − | 10.0852i | −1.19684 | − | 0.435614i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 3.01261 | − | 17.0854i | 0.129883 | − | 0.736602i | ||||
\(539\) | −0.235290 | −0.0101347 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −22.9116 | −0.985046 | −0.492523 | − | 0.870300i | \(-0.663925\pi\) | ||||
−0.492523 | + | 0.870300i | \(0.663925\pi\) | |||||||
\(542\) | −10.1395 | + | 57.5037i | −0.435527 | + | 2.47000i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.977920 | + | 0.355934i | 0.0419280 | + | 0.0152605i | ||||
\(545\) | −13.5929 | + | 11.4058i | −0.582256 | + | 0.488571i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 12.9280 | − | 4.70541i | 0.552762 | − | 0.201189i | −0.0505115 | − | 0.998723i | \(-0.516085\pi\) |
0.603273 | + | 0.797535i | \(0.293863\pi\) | |||||||
\(548\) | −36.7053 | + | 63.5755i | −1.56797 | + | 2.71581i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −18.9414 | − | 32.8075i | −0.807665 | − | 1.39892i | ||||
\(551\) | −4.06516 | − | 3.41107i | −0.173181 | − | 0.145317i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −7.93776 | − | 45.0173i | −0.337548 | − | 1.91433i | ||||
\(554\) | 0.0445841 | + | 0.252849i | 0.00189420 | + | 0.0107425i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 6.06058 | + | 5.08543i | 0.257026 | + | 0.215670i | ||||
\(557\) | −10.9520 | − | 18.9695i | −0.464053 | − | 0.803763i | 0.535106 | − | 0.844785i | \(-0.320272\pi\) |
−0.999158 | + | 0.0410224i | \(0.986938\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.58371 | − | 7.93922i | 0.193870 | − | 0.335793i | ||||
\(560\) | −32.6754 | + | 11.8929i | −1.38079 | + | 0.502566i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 15.3488 | − | 12.8791i | 0.647448 | − | 0.543274i | ||||
\(563\) | −13.6898 | − | 4.98270i | −0.576958 | − | 0.209996i | 0.0370255 | − | 0.999314i | \(-0.488212\pi\) |
−0.613984 | + | 0.789319i | \(0.710434\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 6.10658 | − | 34.6322i | 0.256906 | − | 1.45699i | ||||
\(566\) | −58.0431 | −2.43973 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −74.3137 | −3.11813 | ||||||||
\(569\) | −3.88226 | + | 22.0174i | −0.162753 | + | 0.923016i | 0.788599 | + | 0.614908i | \(0.210807\pi\) |
−0.951351 | + | 0.308108i | \(0.900304\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 14.4958 | + | 5.27605i | 0.606632 | + | 0.220796i | 0.627029 | − | 0.778996i | \(-0.284271\pi\) |
−0.0203971 | + | 0.999792i | \(0.506493\pi\) | |||||||
\(572\) | 35.5482 | − | 29.8285i | 1.48635 | − | 1.24719i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 29.9957 | − | 10.9176i | 1.25200 | − | 0.455690i | ||||
\(575\) | −1.19930 | + | 2.07724i | −0.0500142 | + | 0.0866271i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −16.4040 | − | 28.4126i | −0.682909 | − | 1.18283i | −0.974089 | − | 0.226165i | \(-0.927381\pi\) |
0.291180 | − | 0.956668i | \(-0.405952\pi\) | |||||||
\(578\) | 19.5444 | + | 16.3997i | 0.812938 | + | 0.682136i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −5.47005 | − | 31.0222i | −0.227132 | − | 1.28813i | ||||
\(581\) | −1.83228 | − | 10.3914i | −0.0760158 | − | 0.431107i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −16.9074 | − | 14.1870i | −0.700233 | − | 0.587565i | ||||
\(584\) | 4.71825 | + | 8.17225i | 0.195242 | + | 0.338170i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −26.5758 | + | 46.0306i | −1.09784 | + | 1.90151i | ||||
\(587\) | −28.4109 | + | 10.3407i | −1.17264 | + | 0.426807i | −0.853598 | − | 0.520932i | \(-0.825585\pi\) |
−0.319046 | + | 0.947739i | \(0.603362\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −12.3915 | + | 10.3977i | −0.510581 | + | 0.428428i | ||||
\(590\) | −11.7734 | − | 4.28518i | −0.484705 | − | 0.176418i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −7.59116 | + | 43.0516i | −0.311995 | + | 1.76941i | ||||
\(593\) | 41.1023 | 1.68787 | 0.843935 | − | 0.536446i | \(-0.180234\pi\) | ||||
0.843935 | + | 0.536446i | \(0.180234\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 21.0698 | 0.863778 | ||||||||
\(596\) | 5.13281 | − | 29.1096i | 0.210248 | − | 1.19238i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −4.12756 | − | 1.50231i | −0.168788 | − | 0.0614340i | ||||
\(599\) | 27.9993 | − | 23.4942i | 1.14402 | − | 0.959948i | 0.144458 | − | 0.989511i | \(-0.453856\pi\) |
0.999563 | + | 0.0295630i | \(0.00941155\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.70784 | + | 1.34954i | −0.151246 | + | 0.0550491i | −0.416534 | − | 0.909120i | \(-0.636755\pi\) |
0.265288 | + | 0.964169i | \(0.414533\pi\) | |||||||
\(602\) | −8.95706 | + | 15.5141i | −0.365062 | + | 0.632307i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −9.80076 | − | 16.9754i | −0.398787 | − | 0.690720i | ||||
\(605\) | −1.87518 | − | 1.57346i | −0.0762369 | − | 0.0639703i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 1.73848 | + | 9.85942i | 0.0705628 | + | 0.400182i | 0.999548 | + | 0.0300646i | \(0.00957131\pi\) |
−0.928985 | + | 0.370117i | \(0.879318\pi\) | |||||||
\(608\) | 0.147275 | + | 0.835236i | 0.00597277 | + | 0.0338733i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 83.3508 | + | 69.9397i | 3.37478 | + | 2.83177i | ||||
\(611\) | −9.46005 | − | 16.3853i | −0.382712 | − | 0.662877i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 9.37838 | − | 16.2438i | 0.378789 | − | 0.656082i | −0.612097 | − | 0.790783i | \(-0.709674\pi\) |
0.990886 | + | 0.134700i | \(0.0430072\pi\) | |||||||
\(614\) | 37.7844 | − | 13.7524i | 1.52485 | − | 0.555001i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −35.0826 | + | 29.4378i | −1.41352 | + | 1.18608i | ||||
\(617\) | 21.6224 | + | 7.86991i | 0.870485 | + | 0.316830i | 0.738363 | − | 0.674403i | \(-0.235599\pi\) |
0.132121 | + | 0.991234i | \(0.457821\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 1.28743 | − | 7.30138i | 0.0517462 | − | 0.293467i | −0.947942 | − | 0.318444i | \(-0.896840\pi\) |
0.999688 | + | 0.0249762i | \(0.00795098\pi\) | |||||||
\(620\) | −96.0211 | −3.85630 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 19.0598 | 0.764229 | ||||||||
\(623\) | −2.35398 | + | 13.3501i | −0.0943100 | + | 0.534859i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 25.6515 | + | 9.33639i | 1.02606 | + | 0.373456i | ||||
\(626\) | −29.0287 | + | 24.3580i | −1.16022 | + | 0.973542i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −5.60710 | + | 2.04082i | −0.223748 | + | 0.0814376i | ||||
\(629\) | 13.2444 | − | 22.9400i | 0.528090 | − | 0.914679i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 15.4962 | + | 26.8402i | 0.616894 | + | 1.06849i | 0.990049 | + | 0.140723i | \(0.0449426\pi\) |
−0.373155 | + | 0.927769i | \(0.621724\pi\) | |||||||
\(632\) | −66.0614 | − | 55.4321i | −2.62778 | − | 2.20497i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −3.68585 | − | 20.9035i | −0.146384 | − | 0.830184i | ||||
\(635\) | −1.38545 | − | 7.85727i | −0.0549798 | − | 0.311806i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.175499 | − | 0.147261i | −0.00695352 | − | 0.00583470i | ||||
\(638\) | −10.6815 | − | 18.5009i | −0.422884 | − | 0.732457i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 29.6279 | − | 51.3171i | 1.17115 | − | 2.02849i | ||||
\(641\) | 33.2145 | − | 12.0891i | 1.31189 | − | 0.477490i | 0.411042 | − | 0.911617i | \(-0.365165\pi\) |
0.900852 | + | 0.434126i | \(0.142943\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −15.0918 | + | 12.6635i | −0.595162 | + | 0.499400i | −0.889887 | − | 0.456182i | \(-0.849217\pi\) |
0.294724 | + | 0.955582i | \(0.404772\pi\) | |||||||
\(644\) | 5.39525 | + | 1.96371i | 0.212603 | + | 0.0773811i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 2.30236 | − | 13.0573i | 0.0905852 | − | 0.513734i | ||||
\(647\) | 46.8317 | 1.84114 | 0.920572 | − | 0.390572i | \(-0.127723\pi\) | ||||
0.920572 | + | 0.390572i | \(0.127723\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −5.68366 | −0.223103 | ||||||||
\(650\) | 6.40516 | − | 36.3255i | 0.251231 | − | 1.42480i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 65.5127 | + | 23.8447i | 2.56567 | + | 0.933829i | ||||
\(653\) | 13.2730 | − | 11.1374i | 0.519414 | − | 0.435840i | −0.345013 | − | 0.938598i | \(-0.612126\pi\) |
0.864427 | + | 0.502758i | \(0.167681\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −12.7676 | + | 4.64703i | −0.498871 | + | 0.181574i | ||||
\(656\) | 10.3709 | − | 17.9630i | 0.404918 | − | 0.701338i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 18.4859 | + | 32.0186i | 0.720657 | + | 1.24821i | ||||
\(659\) | 33.5023 | + | 28.1118i | 1.30507 | + | 1.09508i | 0.989246 | + | 0.146261i | \(0.0467239\pi\) |
0.315820 | + | 0.948819i | \(0.397721\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.57792 | − | 8.94881i | −0.0613738 | − | 0.348068i | −0.999995 | − | 0.00311890i | \(-0.999007\pi\) |
0.938621 | − | 0.344949i | \(-0.112104\pi\) | |||||||
\(662\) | −8.76821 | − | 49.7270i | −0.340786 | − | 1.93269i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −15.2490 | − | 12.7954i | −0.591776 | − | 0.496559i | ||||
\(665\) | 8.58561 | + | 14.8707i | 0.332936 | + | 0.576661i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.676311 | + | 1.17140i | −0.0261868 | + | 0.0453570i | ||||
\(668\) | −25.9732 | + | 9.45346i | −1.00493 | + | 0.365765i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −34.0948 | + | 28.6090i | −1.31720 | + | 1.10526i | ||||
\(671\) | 46.3823 | + | 16.8818i | 1.79057 | + | 0.651714i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1.30179 | − | 7.38279i | 0.0501801 | − | 0.284586i | −0.949384 | − | 0.314119i | \(-0.898291\pi\) |
0.999564 | + | 0.0295331i | \(0.00940205\pi\) | |||||||
\(674\) | −39.2711 | −1.51266 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −7.34587 | −0.282534 | ||||||||
\(677\) | 2.66768 | − | 15.1292i | 0.102527 | − | 0.581461i | −0.889652 | − | 0.456639i | \(-0.849053\pi\) |
0.992179 | − | 0.124822i | \(-0.0398359\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −26.5619 | − | 9.66776i | −1.01935 | − | 0.371014i | ||||
\(680\) | 30.4495 | − | 25.5502i | 1.16769 | − | 0.979806i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −61.1918 | + | 22.2720i | −2.34315 | + | 0.852838i | ||||
\(683\) | −3.31079 | + | 5.73445i | −0.126684 | + | 0.219423i | −0.922390 | − | 0.386260i | \(-0.873767\pi\) |
0.795706 | + | 0.605683i | \(0.207100\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 27.9806 | + | 48.4639i | 1.06908 | + | 1.85171i | ||||
\(686\) | −34.6968 | − | 29.1141i | −1.32473 | − | 1.11158i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 2.02134 | + | 11.4636i | 0.0770630 | + | 0.437046i | ||||
\(689\) | −3.73173 | − | 21.1637i | −0.142168 | − | 0.806273i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −14.2920 | − | 11.9924i | −0.543693 | − | 0.456212i | 0.329106 | − | 0.944293i | \(-0.393253\pi\) |
−0.872798 | + | 0.488081i | \(0.837697\pi\) | |||||||
\(692\) | 48.4228 | + | 83.8708i | 1.84076 | + | 3.18829i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −12.0484 | + | 20.8685i | −0.457352 | + | 0.792157i | ||||
\(695\) | 5.66727 | − | 2.06272i | 0.214972 | − | 0.0782433i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −9.62782 | + | 8.07870i | −0.364680 | + | 0.306003i | ||||
\(698\) | −21.7907 | − | 7.93117i | −0.824790 | − | 0.300199i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −8.37238 | + | 47.4821i | −0.316446 | + | 1.79465i | ||||
\(701\) | 24.8903 | 0.940092 | 0.470046 | − | 0.882642i | \(-0.344237\pi\) | ||||
0.470046 | + | 0.882642i | \(0.344237\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 21.5876 | 0.814190 | ||||||||
\(704\) | 4.47151 | − | 25.3592i | 0.168526 | − | 0.955760i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −7.81826 | − | 2.84561i | −0.294244 | − | 0.107096i | ||||
\(707\) | −11.5236 | + | 9.66944i | −0.433389 | + | 0.363657i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 24.6000 | − | 8.95366i | 0.923871 | − | 0.336262i | 0.164094 | − | 0.986445i | \(-0.447530\pi\) |
0.759778 | + | 0.650183i | \(0.225308\pi\) | |||||||
\(710\) | −56.0843 | + | 97.1409i | −2.10481 | + | 3.64563i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 12.7870 | + | 22.1477i | 0.479212 | + | 0.830020i | ||||
\(713\) | 3.15846 | + | 2.65026i | 0.118285 | + | 0.0992531i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −6.14274 | − | 34.8372i | −0.229725 | − | 1.30284i | ||||
\(716\) | −14.4348 | − | 81.8638i | −0.539454 | − | 3.05940i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −66.3252 | − | 55.6534i | −2.47523 | − | 2.07697i | ||||
\(719\) | −10.5145 | − | 18.2117i | −0.392125 | − | 0.679181i | 0.600604 | − | 0.799546i | \(-0.294927\pi\) |
−0.992730 | + | 0.120365i | \(0.961593\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 13.7859 | − | 23.8779i | 0.513414 | − | 0.889259i | ||||
\(722\) | −33.7280 | + | 12.2760i | −1.25522 | + | 0.456864i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −47.8859 | + | 40.1810i | −1.77967 | + | 1.49332i | ||||
\(725\) | −10.6737 | − | 3.88490i | −0.396411 | − | 0.144282i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 7.18828 | − | 40.7668i | 0.266599 | − | 1.51196i | −0.497845 | − | 0.867266i | \(-0.665875\pi\) |
0.764444 | − | 0.644690i | \(-0.223014\pi\) | |||||||
\(728\) | −44.5918 | −1.65268 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 14.2434 | 0.527171 | ||||||||
\(731\) | 1.22480 | − | 6.94620i | 0.0453009 | − | 0.256914i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −31.5988 | − | 11.5010i | −1.16713 | − | 0.424800i | −0.315489 | − | 0.948929i | \(-0.602169\pi\) |
−0.851638 | + | 0.524130i | \(0.824391\pi\) | |||||||
\(734\) | 59.3930 | − | 49.8366i | 2.19223 | − | 1.83950i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.203140 | − | 0.0739371i | 0.00748786 | − | 0.00272536i | ||||
\(737\) | −10.0952 | + | 17.4854i | −0.371862 | + | 0.644084i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 6.47268 | + | 11.2110i | 0.238101 | + | 0.412403i | 0.960169 | − | 0.279418i | \(-0.0901417\pi\) |
−0.722068 | + | 0.691822i | \(0.756808\pi\) | |||||||
\(740\) | 98.1648 | + | 82.3700i | 3.60861 | + | 3.02798i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 7.29220 | + | 41.3561i | 0.267705 | + | 1.51823i | ||||
\(743\) | −0.0152687 | − | 0.0865933i | −0.000560156 | − | 0.00317680i | 0.984526 | − | 0.175236i | \(-0.0560690\pi\) |
−0.985087 | + | 0.172060i | \(0.944958\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −17.2611 | − | 14.4837i | −0.632396 | − | 0.530643i | ||||
\(746\) | 17.7481 | + | 30.7406i | 0.649803 | + | 1.12549i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 17.8518 | − | 30.9202i | 0.652727 | − | 1.13056i | ||||
\(749\) | −35.5906 | + | 12.9539i | −1.30045 | + | 0.473325i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 38.2226 | − | 32.0725i | 1.39476 | − | 1.17034i | 0.431392 | − | 0.902164i | \(-0.358022\pi\) |
0.963369 | − | 0.268179i | \(-0.0864220\pi\) | |||||||
\(752\) | 22.5752 | + | 8.21670i | 0.823233 | + | 0.299632i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 3.61201 | − | 20.4847i | 0.131542 | − | 0.746011i | ||||
\(755\) | −14.9423 | −0.543806 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −11.8679 | −0.431348 | −0.215674 | − | 0.976465i | \(-0.569195\pi\) | ||||
−0.215674 | + | 0.976465i | \(0.569195\pi\) | |||||||
\(758\) | −0.427214 | + | 2.42285i | −0.0155171 | + | 0.0880020i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 30.4406 | + | 11.0795i | 1.10420 | + | 0.401894i | ||||
\(761\) | 2.90354 | − | 2.43636i | 0.105253 | − | 0.0883180i | −0.588642 | − | 0.808394i | \(-0.700337\pi\) |
0.693896 | + | 0.720076i | \(0.255893\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 14.3920 | − | 5.23825i | 0.521024 | − | 0.189637i | ||||
\(764\) | 22.1247 | − | 38.3211i | 0.800444 | − | 1.38641i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 5.05978 | + | 8.76379i | 0.182817 | + | 0.316649i | ||||
\(767\) | −4.23935 | − | 3.55724i | −0.153074 | − | 0.128444i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1.08869 | + | 6.17425i | 0.0392591 | + | 0.222649i | 0.998125 | − | 0.0612105i | \(-0.0194961\pi\) |
−0.958866 | + | 0.283860i | \(0.908385\pi\) | |||||||
\(770\) | 12.0036 | + | 68.0756i | 0.432578 | + | 2.45327i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 3.54375 | + | 2.97356i | 0.127542 | + | 0.107021i | ||||
\(773\) | 0.647678 | + | 1.12181i | 0.0232954 | + | 0.0403487i | 0.877438 | − | 0.479690i | \(-0.159251\pi\) |
−0.854143 | + | 0.520039i | \(0.825918\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −17.3119 | + | 29.9850i | −0.621861 | + | 1.07709i | ||||
\(776\) | −50.1102 | + | 18.2386i | −1.79885 | + | 0.654728i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 29.2205 | − | 24.5189i | 1.04761 | − | 0.879046i | ||||
\(779\) | −9.62499 | − | 3.50321i | −0.344851 | − | 0.125516i | ||||
\(780\) |