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: | 12.0.101559956668416.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{12} - 8x^{6} + 64 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 3^{3} \) |
Twist minimal: | no (minimal twist has level 243) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 325.2 | ||
Root | \(1.39273 - 0.245576i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.325 |
Dual form | 729.2.e.p.406.2 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.87642 | − | 1.57450i | 1.32683 | − | 1.11334i | 0.342020 | − | 0.939693i | \(-0.388889\pi\) |
0.984808 | − | 0.173648i | \(-0.0555556\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.694593 | − | 3.93923i | 0.347296 | − | 1.96962i | ||||
\(5\) | 2.30177 | − | 0.837775i | 1.02938 | − | 0.374664i | 0.228536 | − | 0.973535i | \(-0.426606\pi\) |
0.800845 | + | 0.598871i | \(0.204384\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.347296 | + | 1.96962i | 0.131266 | + | 0.744445i | 0.977388 | + | 0.211455i | \(0.0678203\pi\) |
−0.846122 | + | 0.532989i | \(0.821069\pi\) | |||||||
\(8\) | −2.44949 | − | 4.24264i | −0.866025 | − | 1.50000i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 3.00000 | − | 5.19615i | 0.948683 | − | 1.64317i | ||||
\(11\) | −2.30177 | − | 0.837775i | −0.694009 | − | 0.252599i | −0.0291582 | − | 0.999575i | \(-0.509283\pi\) |
−0.664851 | + | 0.746976i | \(0.731505\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.766044 | − | 0.642788i | −0.212463 | − | 0.178277i | 0.530346 | − | 0.847781i | \(-0.322062\pi\) |
−0.742808 | + | 0.669504i | \(0.766507\pi\) | |||||||
\(14\) | 3.75284 | + | 3.14900i | 1.00299 | + | 0.841607i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.75877 | − | 1.36808i | −0.939693 | − | 0.342020i | ||||
\(17\) | 3.67423 | − | 6.36396i | 0.891133 | − | 1.54349i | 0.0526138 | − | 0.998615i | \(-0.483245\pi\) |
0.838519 | − | 0.544872i | \(-0.183422\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.500000 | + | 0.866025i | 0.114708 | + | 0.198680i | 0.917663 | − | 0.397360i | \(-0.130073\pi\) |
−0.802955 | + | 0.596040i | \(0.796740\pi\) | |||||||
\(20\) | −1.70140 | − | 9.64911i | −0.380444 | − | 2.15761i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −5.63816 | + | 2.05212i | −1.20206 | + | 0.437514i | ||||
\(23\) | −0.425349 | + | 2.41228i | −0.0886915 | + | 0.502994i | 0.907807 | + | 0.419387i | \(0.137755\pi\) |
−0.996499 | + | 0.0836069i | \(0.973356\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.766044 | − | 0.642788i | 0.153209 | − | 0.128558i | ||||
\(26\) | −2.44949 | −0.480384 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 8.00000 | 1.51186 | ||||||||
\(29\) | −3.75284 | + | 3.14900i | −0.696884 | + | 0.584755i | −0.920885 | − | 0.389834i | \(-0.872533\pi\) |
0.224001 | + | 0.974589i | \(0.428088\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.173648 | + | 0.984808i | −0.0311881 | + | 0.176877i | −0.996423 | − | 0.0845082i | \(-0.973068\pi\) |
0.965235 | + | 0.261385i | \(0.0841792\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.12567 | − | 17.7265i | −0.536048 | − | 3.04008i | ||||
\(35\) | 2.44949 | + | 4.24264i | 0.414039 | + | 0.717137i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.00000 | + | 6.92820i | −0.657596 | + | 1.13899i | 0.323640 | + | 0.946180i | \(0.395093\pi\) |
−0.981236 | + | 0.192809i | \(0.938240\pi\) | |||||||
\(38\) | 2.30177 | + | 0.837775i | 0.373396 | + | 0.135905i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −9.19253 | − | 7.71345i | −1.45347 | − | 1.21960i | ||||
\(41\) | 3.75284 | + | 3.14900i | 0.586095 | + | 0.491792i | 0.886942 | − | 0.461881i | \(-0.152825\pi\) |
−0.300848 | + | 0.953672i | \(0.597270\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −10.3366 | − | 3.76222i | −1.57632 | − | 0.573733i | −0.601920 | − | 0.798556i | \(-0.705597\pi\) |
−0.974400 | + | 0.224823i | \(0.927820\pi\) | |||||||
\(44\) | −4.89898 | + | 8.48528i | −0.738549 | + | 1.27920i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.00000 | + | 5.19615i | 0.442326 | + | 0.766131i | ||||
\(47\) | 1.70140 | + | 9.64911i | 0.248174 | + | 1.40747i | 0.813003 | + | 0.582259i | \(0.197831\pi\) |
−0.564829 | + | 0.825208i | \(0.691058\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.81908 | − | 1.02606i | 0.402725 | − | 0.146580i | ||||
\(50\) | 0.425349 | − | 2.41228i | 0.0601535 | − | 0.341147i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −3.06418 | + | 2.57115i | −0.424925 | + | 0.356554i | ||||
\(53\) | 7.34847 | 1.00939 | 0.504695 | − | 0.863298i | \(-0.331605\pi\) | ||||
0.504695 | + | 0.863298i | \(0.331605\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −6.00000 | −0.809040 | ||||||||
\(56\) | 7.50567 | − | 6.29801i | 1.00299 | − | 0.841607i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.08378 | + | 11.8177i | −0.273613 | + | 1.55174i | ||||
\(59\) | 2.30177 | − | 0.837775i | 0.299665 | − | 0.109069i | −0.187812 | − | 0.982205i | \(-0.560140\pi\) |
0.487477 | + | 0.873136i | \(0.337917\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.868241 | + | 4.92404i | 0.111167 | + | 0.630459i | 0.988577 | + | 0.150717i | \(0.0481583\pi\) |
−0.877410 | + | 0.479741i | \(0.840731\pi\) | |||||||
\(62\) | 1.22474 | + | 2.12132i | 0.155543 | + | 0.269408i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4.00000 | − | 6.92820i | 0.500000 | − | 0.866025i | ||||
\(65\) | −2.30177 | − | 0.837775i | −0.285499 | − | 0.103913i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.36231 | − | 4.49951i | −0.655111 | − | 0.549703i | 0.253506 | − | 0.967334i | \(-0.418416\pi\) |
−0.908617 | + | 0.417631i | \(0.862861\pi\) | |||||||
\(68\) | −22.5170 | − | 18.8940i | −2.73059 | − | 2.29124i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 11.2763 | + | 4.10424i | 1.34778 | + | 0.490551i | ||||
\(71\) | −3.67423 | + | 6.36396i | −0.436051 | + | 0.755263i | −0.997381 | − | 0.0723293i | \(-0.976957\pi\) |
0.561329 | + | 0.827592i | \(0.310290\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −5.50000 | − | 9.52628i | −0.643726 | − | 1.11497i | −0.984594 | − | 0.174855i | \(-0.944054\pi\) |
0.340868 | − | 0.940111i | \(-0.389279\pi\) | |||||||
\(74\) | 3.40280 | + | 19.2982i | 0.395567 | + | 2.24337i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.75877 | − | 1.36808i | 0.431161 | − | 0.156930i | ||||
\(77\) | 0.850699 | − | 4.82455i | 0.0969461 | − | 0.549809i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.36231 | + | 4.49951i | −0.603307 | + | 0.506235i | −0.892507 | − | 0.451034i | \(-0.851055\pi\) |
0.289200 | + | 0.957269i | \(0.406611\pi\) | |||||||
\(80\) | −9.79796 | −1.09545 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 12.0000 | 1.32518 | ||||||||
\(83\) | −9.38209 | + | 7.87251i | −1.02982 | + | 0.864120i | −0.990829 | − | 0.135120i | \(-0.956858\pi\) |
−0.0389889 | + | 0.999240i | \(0.512414\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.12567 | − | 17.7265i | 0.339026 | − | 1.92271i | ||||
\(86\) | −25.3194 | + | 9.21552i | −2.73027 | + | 0.993735i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.08378 | + | 11.8177i | 0.222131 | + | 1.25977i | ||||
\(89\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.00000 | − | 1.73205i | 0.104828 | − | 0.181568i | ||||
\(92\) | 9.20707 | + | 3.35110i | 0.959903 | + | 0.349376i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 18.3851 | + | 15.4269i | 1.89627 | + | 1.59116i | ||||
\(95\) | 1.87642 | + | 1.57450i | 0.192516 | + | 0.161540i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.57785 | + | 2.39414i | 0.667879 | + | 0.243088i | 0.653635 | − | 0.756810i | \(-0.273243\pi\) |
0.0142448 | + | 0.999899i | \(0.495466\pi\) | |||||||
\(98\) | 3.67423 | − | 6.36396i | 0.371154 | − | 0.642857i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.00000 | − | 3.46410i | −0.200000 | − | 0.346410i | ||||
\(101\) | −0.850699 | − | 4.82455i | −0.0846477 | − | 0.480061i | −0.997432 | − | 0.0716191i | \(-0.977183\pi\) |
0.912784 | − | 0.408442i | \(-0.133928\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.57785 | − | 2.39414i | 0.648135 | − | 0.235902i | 0.00302937 | − | 0.999995i | \(-0.499036\pi\) |
0.645105 | + | 0.764094i | \(0.276813\pi\) | |||||||
\(104\) | −0.850699 | + | 4.82455i | −0.0834179 | + | 0.473086i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 13.7888 | − | 11.5702i | 1.33929 | − | 1.12379i | ||||
\(107\) | 14.6969 | 1.42081 | 0.710403 | − | 0.703795i | \(-0.248513\pi\) | ||||
0.710403 | + | 0.703795i | \(0.248513\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.00000 | −0.0957826 | −0.0478913 | − | 0.998853i | \(-0.515250\pi\) | ||||
−0.0478913 | + | 0.998853i | \(0.515250\pi\) | |||||||
\(110\) | −11.2585 | + | 9.44701i | −1.07346 | + | 0.900737i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.38919 | − | 7.87846i | 0.131266 | − | 0.744445i | ||||
\(113\) | 9.20707 | − | 3.35110i | 0.866128 | − | 0.315245i | 0.129530 | − | 0.991575i | \(-0.458653\pi\) |
0.736598 | + | 0.676331i | \(0.236431\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.04189 | + | 5.90885i | 0.0971567 | + | 0.551003i | ||||
\(116\) | 9.79796 | + | 16.9706i | 0.909718 | + | 1.57568i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 3.00000 | − | 5.19615i | 0.276172 | − | 0.478345i | ||||
\(119\) | 13.8106 | + | 5.02665i | 1.26602 | + | 0.460792i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.83022 | − | 3.21394i | −0.348202 | − | 0.292176i | ||||
\(122\) | 9.38209 | + | 7.87251i | 0.849415 | + | 0.712743i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.75877 | + | 1.36808i | 0.337548 | + | 0.122857i | ||||
\(125\) | −4.89898 | + | 8.48528i | −0.438178 | + | 0.758947i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.50000 | + | 16.4545i | 0.842989 | + | 1.46010i | 0.887357 | + | 0.461084i | \(0.152539\pi\) |
−0.0443678 | + | 0.999015i | \(0.514127\pi\) | |||||||
\(128\) | −3.40280 | − | 19.2982i | −0.300767 | − | 1.70574i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −5.63816 | + | 2.05212i | −0.494499 | + | 0.179983i | ||||
\(131\) | 2.12675 | − | 12.0614i | 0.185815 | − | 1.05381i | −0.739089 | − | 0.673607i | \(-0.764744\pi\) |
0.924904 | − | 0.380200i | \(-0.124145\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.53209 | + | 1.28558i | −0.132849 | + | 0.111474i | ||||
\(134\) | −17.1464 | −1.48123 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −36.0000 | −3.08697 | ||||||||
\(137\) | 7.50567 | − | 6.29801i | 0.641253 | − | 0.538075i | −0.263150 | − | 0.964755i | \(-0.584761\pi\) |
0.904403 | + | 0.426680i | \(0.140317\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.73648 | + | 9.84808i | −0.147286 | + | 0.835303i | 0.818216 | + | 0.574910i | \(0.194963\pi\) |
−0.965503 | + | 0.260393i | \(0.916148\pi\) | |||||||
\(140\) | 18.4141 | − | 6.70220i | 1.55628 | − | 0.566439i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 3.12567 | + | 17.7265i | 0.262300 | + | 1.48758i | ||||
\(143\) | 1.22474 | + | 2.12132i | 0.102418 | + | 0.177394i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.00000 | + | 10.3923i | −0.498273 | + | 0.863034i | ||||
\(146\) | −25.3194 | − | 9.21552i | −2.09545 | − | 0.762682i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 24.5134 | + | 20.5692i | 2.01499 | + | 1.69078i | ||||
\(149\) | 9.38209 | + | 7.87251i | 0.768611 | + | 0.644941i | 0.940353 | − | 0.340201i | \(-0.110495\pi\) |
−0.171742 | + | 0.985142i | \(0.554940\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.69846 | − | 1.71010i | −0.382356 | − | 0.139166i | 0.143689 | − | 0.989623i | \(-0.454103\pi\) |
−0.526045 | + | 0.850457i | \(0.676326\pi\) | |||||||
\(152\) | 2.44949 | − | 4.24264i | 0.198680 | − | 0.344124i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −6.00000 | − | 10.3923i | −0.483494 | − | 0.837436i | ||||
\(155\) | 0.425349 | + | 2.41228i | 0.0341649 | + | 0.193759i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −15.9748 | + | 5.81434i | −1.27493 | + | 0.464035i | −0.888751 | − | 0.458391i | \(-0.848426\pi\) |
−0.386175 | + | 0.922426i | \(0.626204\pi\) | |||||||
\(158\) | −2.97745 | + | 16.8859i | −0.236873 | + | 1.34337i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −4.89898 | −0.386094 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −10.0000 | −0.783260 | −0.391630 | − | 0.920123i | \(-0.628089\pi\) | ||||
−0.391630 | + | 0.920123i | \(0.628089\pi\) | |||||||
\(164\) | 15.0113 | − | 12.5960i | 1.17219 | − | 0.983583i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −5.20945 | + | 29.5442i | −0.404331 | + | 2.29308i | ||||
\(167\) | −4.60353 | + | 1.67555i | −0.356232 | + | 0.129658i | −0.513936 | − | 0.857829i | \(-0.671813\pi\) |
0.157704 | + | 0.987486i | \(0.449591\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.08378 | − | 11.8177i | −0.160291 | − | 0.909053i | ||||
\(170\) | −22.0454 | − | 38.1838i | −1.69081 | − | 2.92856i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −22.0000 | + | 38.1051i | −1.67748 | + | 2.90549i | ||||
\(173\) | −9.20707 | − | 3.35110i | −0.700001 | − | 0.254779i | −0.0325894 | − | 0.999469i | \(-0.510375\pi\) |
−0.667411 | + | 0.744689i | \(0.732598\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.53209 | + | 1.28558i | 0.115815 | + | 0.0971804i | ||||
\(176\) | 7.50567 | + | 6.29801i | 0.565761 | + | 0.474730i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 7.34847 | − | 12.7279i | 0.549250 | − | 0.951330i | −0.449076 | − | 0.893494i | \(-0.648247\pi\) |
0.998326 | − | 0.0578359i | \(-0.0184200\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.00000 | − | 6.92820i | −0.297318 | − | 0.514969i | 0.678204 | − | 0.734874i | \(-0.262759\pi\) |
−0.975521 | + | 0.219905i | \(0.929425\pi\) | |||||||
\(182\) | −0.850699 | − | 4.82455i | −0.0630580 | − | 0.357620i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 11.2763 | − | 4.10424i | 0.831301 | − | 0.302569i | ||||
\(185\) | −3.40280 | + | 19.2982i | −0.250178 | + | 1.41883i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −13.7888 | + | 11.5702i | −1.00834 | + | 0.846095i | ||||
\(188\) | 39.1918 | 2.85836 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 6.00000 | 0.435286 | ||||||||
\(191\) | 7.50567 | − | 6.29801i | 0.543091 | − | 0.455708i | −0.329502 | − | 0.944155i | \(-0.606881\pi\) |
0.872594 | + | 0.488447i | \(0.162436\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.91013 | − | 10.8329i | 0.137494 | − | 0.779768i | −0.835596 | − | 0.549344i | \(-0.814878\pi\) |
0.973090 | − | 0.230424i | \(-0.0740113\pi\) | |||||||
\(194\) | 16.1124 | − | 5.86442i | 1.15680 | − | 0.421041i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.08378 | − | 11.8177i | −0.148841 | − | 0.844121i | ||||
\(197\) | −7.34847 | − | 12.7279i | −0.523557 | − | 0.906827i | −0.999624 | − | 0.0274180i | \(-0.991271\pi\) |
0.476067 | − | 0.879409i | \(-0.342062\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.500000 | − | 0.866025i | 0.0354441 | − | 0.0613909i | −0.847759 | − | 0.530381i | \(-0.822049\pi\) |
0.883203 | + | 0.468990i | \(0.155382\pi\) | |||||||
\(200\) | −4.60353 | − | 1.67555i | −0.325519 | − | 0.118479i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −9.19253 | − | 7.71345i | −0.646784 | − | 0.542717i | ||||
\(203\) | −7.50567 | − | 6.29801i | −0.526795 | − | 0.442033i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 11.2763 | + | 4.10424i | 0.787572 | + | 0.286653i | ||||
\(206\) | 8.57321 | − | 14.8492i | 0.597324 | − | 1.03460i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.00000 | + | 3.46410i | 0.138675 | + | 0.240192i | ||||
\(209\) | −0.425349 | − | 2.41228i | −0.0294220 | − | 0.166861i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.939693 | − | 0.342020i | 0.0646911 | − | 0.0235456i | −0.309472 | − | 0.950909i | \(-0.600152\pi\) |
0.374163 | + | 0.927363i | \(0.377930\pi\) | |||||||
\(212\) | 5.10419 | − | 28.9473i | 0.350557 | − | 1.98811i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 27.5776 | − | 23.1404i | 1.88517 | − | 1.58184i | ||||
\(215\) | −26.9444 | −1.83759 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.00000 | −0.135769 | ||||||||
\(218\) | −1.87642 | + | 1.57450i | −0.127087 | + | 0.106639i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −4.16756 | + | 23.6354i | −0.280977 | + | 1.59350i | ||||
\(221\) | −6.90530 | + | 2.51332i | −0.464501 | + | 0.169065i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.21554 | − | 6.89365i | −0.0813984 | − | 0.461633i | −0.998076 | − | 0.0620053i | \(-0.980250\pi\) |
0.916677 | − | 0.399628i | \(-0.130861\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 12.0000 | − | 20.7846i | 0.798228 | − | 1.38257i | ||||
\(227\) | −9.20707 | − | 3.35110i | −0.611095 | − | 0.222420i | 0.0178875 | − | 0.999840i | \(-0.494306\pi\) |
−0.628982 | + | 0.777420i | \(0.716528\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.766044 | − | 0.642788i | −0.0506216 | − | 0.0424766i | 0.617126 | − | 0.786864i | \(-0.288297\pi\) |
−0.667747 | + | 0.744388i | \(0.732741\pi\) | |||||||
\(230\) | 11.2585 | + | 9.44701i | 0.742364 | + | 0.622917i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 22.5526 | + | 8.20848i | 1.48065 | + | 0.538913i | ||||
\(233\) | 3.67423 | − | 6.36396i | 0.240707 | − | 0.416917i | −0.720209 | − | 0.693757i | \(-0.755954\pi\) |
0.960916 | + | 0.276840i | \(0.0892873\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 12.0000 | + | 20.7846i | 0.782794 | + | 1.35584i | ||||
\(236\) | −1.70140 | − | 9.64911i | −0.110752 | − | 0.628103i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 33.8289 | − | 12.3127i | 2.19280 | − | 0.798115i | ||||
\(239\) | −0.425349 | + | 2.41228i | −0.0275136 | + | 0.156037i | −0.995469 | − | 0.0950838i | \(-0.969688\pi\) |
0.967956 | + | 0.251121i | \(0.0807992\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −12.2567 | + | 10.2846i | −0.789524 | + | 0.662489i | −0.945628 | − | 0.325251i | \(-0.894551\pi\) |
0.156103 | + | 0.987741i | \(0.450107\pi\) | |||||||
\(242\) | −12.2474 | −0.787296 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 20.0000 | 1.28037 | ||||||||
\(245\) | 5.62925 | − | 4.72350i | 0.359640 | − | 0.301774i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.173648 | − | 0.984808i | 0.0110490 | − | 0.0626618i | ||||
\(248\) | 4.60353 | − | 1.67555i | 0.292325 | − | 0.106398i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 4.16756 | + | 23.6354i | 0.263579 | + | 1.49483i | ||||
\(251\) | 3.67423 | + | 6.36396i | 0.231916 | + | 0.401690i | 0.958372 | − | 0.285523i | \(-0.0921673\pi\) |
−0.726456 | + | 0.687213i | \(0.758834\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.00000 | − | 5.19615i | 0.188608 | − | 0.326679i | ||||
\(254\) | 43.7336 | + | 15.9177i | 2.74409 | + | 0.998767i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −24.5134 | − | 20.5692i | −1.53209 | − | 1.28558i | ||||
\(257\) | −13.1349 | − | 11.0215i | −0.819334 | − | 0.687503i | 0.133482 | − | 0.991051i | \(-0.457384\pi\) |
−0.952816 | + | 0.303548i | \(0.901829\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −15.0351 | − | 5.47232i | −0.934235 | − | 0.340034i | ||||
\(260\) | −4.89898 | + | 8.48528i | −0.303822 | + | 0.526235i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −15.0000 | − | 25.9808i | −0.926703 | − | 1.60510i | ||||
\(263\) | −4.67884 | − | 26.5350i | −0.288510 | − | 1.63622i | −0.692472 | − | 0.721445i | \(-0.743478\pi\) |
0.403962 | − | 0.914776i | \(-0.367633\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 16.9145 | − | 6.15636i | 1.03905 | − | 0.378182i | ||||
\(266\) | −0.850699 | + | 4.82455i | −0.0521597 | + | 0.295812i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −21.4492 | + | 17.9981i | −1.31022 | + | 1.09941i | ||||
\(269\) | −22.0454 | −1.34413 | −0.672066 | − | 0.740491i | \(-0.734593\pi\) | ||||
−0.672066 | + | 0.740491i | \(0.734593\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −7.00000 | −0.425220 | −0.212610 | − | 0.977137i | \(-0.568196\pi\) | ||||
−0.212610 | + | 0.977137i | \(0.568196\pi\) | |||||||
\(272\) | −22.5170 | + | 18.8940i | −1.36529 | + | 1.14562i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 4.16756 | − | 23.6354i | 0.251771 | − | 1.42787i | ||||
\(275\) | −2.30177 | + | 0.837775i | −0.138802 | + | 0.0505197i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.91013 | + | 10.8329i | 0.114769 | + | 0.650885i | 0.986865 | + | 0.161550i | \(0.0516493\pi\) |
−0.872096 | + | 0.489335i | \(0.837240\pi\) | |||||||
\(278\) | 12.2474 | + | 21.2132i | 0.734553 | + | 1.27228i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 12.0000 | − | 20.7846i | 0.717137 | − | 1.24212i | ||||
\(281\) | 11.5088 | + | 4.18887i | 0.686560 | + | 0.249887i | 0.661661 | − | 0.749803i | \(-0.269852\pi\) |
0.0248982 | + | 0.999690i | \(0.492074\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 13.0228 | + | 10.9274i | 0.774122 | + | 0.649566i | 0.941761 | − | 0.336283i | \(-0.109170\pi\) |
−0.167639 | + | 0.985849i | \(0.553614\pi\) | |||||||
\(284\) | 22.5170 | + | 18.8940i | 1.33614 | + | 1.12115i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 5.63816 | + | 2.05212i | 0.333391 | + | 0.121344i | ||||
\(287\) | −4.89898 | + | 8.48528i | −0.289178 | + | 0.500870i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −18.5000 | − | 32.0429i | −1.08824 | − | 1.88488i | ||||
\(290\) | 5.10419 | + | 28.9473i | 0.299729 | + | 1.69985i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −41.3465 | + | 15.0489i | −2.41962 | + | 0.880669i | ||||
\(293\) | 0.850699 | − | 4.82455i | 0.0496984 | − | 0.281853i | −0.949823 | − | 0.312788i | \(-0.898737\pi\) |
0.999521 | + | 0.0309343i | \(0.00984827\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.59627 | − | 3.85673i | 0.267605 | − | 0.224547i | ||||
\(296\) | 39.1918 | 2.27798 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 30.0000 | 1.73785 | ||||||||
\(299\) | 1.87642 | − | 1.57450i | 0.108516 | − | 0.0910558i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.82026 | − | 21.6658i | 0.220196 | − | 1.24879i | ||||
\(302\) | −11.5088 | + | 4.18887i | −0.662259 | + | 0.241043i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.694593 | − | 3.93923i | −0.0398376 | − | 0.225930i | ||||
\(305\) | 6.12372 | + | 10.6066i | 0.350643 | + | 0.607332i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −1.00000 | + | 1.73205i | −0.0570730 | + | 0.0988534i | −0.893150 | − | 0.449758i | \(-0.851510\pi\) |
0.836077 | + | 0.548612i | \(0.184843\pi\) | |||||||
\(308\) | −18.4141 | − | 6.70220i | −1.04924 | − | 0.381893i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 4.59627 | + | 3.85673i | 0.261050 | + | 0.219047i | ||||
\(311\) | −18.7642 | − | 15.7450i | −1.06402 | − | 0.892818i | −0.0695218 | − | 0.997580i | \(-0.522147\pi\) |
−0.994497 | + | 0.104762i | \(0.966592\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 15.0351 | + | 5.47232i | 0.849833 | + | 0.309314i | 0.729972 | − | 0.683477i | \(-0.239533\pi\) |
0.119861 | + | 0.992791i | \(0.461755\pi\) | |||||||
\(314\) | −20.8207 | + | 36.0624i | −1.17498 | + | 2.03512i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 14.0000 | + | 24.2487i | 0.787562 | + | 1.36410i | ||||
\(317\) | 1.70140 | + | 9.64911i | 0.0955600 | + | 0.541948i | 0.994574 | + | 0.104029i | \(0.0331733\pi\) |
−0.899014 | + | 0.437919i | \(0.855716\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 11.2763 | − | 4.10424i | 0.631352 | − | 0.229793i | ||||
\(320\) | 3.40280 | − | 19.2982i | 0.190222 | − | 1.07880i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −9.19253 | + | 7.71345i | −0.512280 | + | 0.429854i | ||||
\(323\) | 7.34847 | 0.408880 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.00000 | −0.0554700 | ||||||||
\(326\) | −18.7642 | + | 15.7450i | −1.03925 | + | 0.872036i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 4.16756 | − | 23.6354i | 0.230115 | − | 1.30505i | ||||
\(329\) | −18.4141 | + | 6.70220i | −1.01520 | + | 0.369504i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.21554 | − | 6.89365i | −0.0668120 | − | 0.378910i | −0.999819 | − | 0.0190501i | \(-0.993936\pi\) |
0.933007 | − | 0.359859i | \(-0.117175\pi\) | |||||||
\(332\) | 24.4949 | + | 42.4264i | 1.34433 | + | 2.32845i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −6.00000 | + | 10.3923i | −0.328305 | + | 0.568642i | ||||
\(335\) | −16.1124 | − | 5.86442i | −0.880313 | − | 0.320408i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −21.4492 | − | 17.9981i | −1.16841 | − | 0.980416i | −0.168429 | − | 0.985714i | \(-0.553869\pi\) |
−0.999986 | + | 0.00529739i | \(0.998314\pi\) | |||||||
\(338\) | −22.5170 | − | 18.8940i | −1.22476 | − | 1.02770i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −67.6579 | − | 24.6255i | −3.66926 | − | 1.33550i | ||||
\(341\) | 1.22474 | − | 2.12132i | 0.0663237 | − | 0.114876i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.0000 | + | 17.3205i | 0.539949 | + | 0.935220i | ||||
\(344\) | 9.35769 | + | 53.0701i | 0.504533 | + | 2.86135i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −22.5526 | + | 8.20848i | −1.21244 | + | 0.441291i | ||||
\(347\) | −4.25349 | + | 24.1228i | −0.228340 | + | 1.29498i | 0.627857 | + | 0.778328i | \(0.283932\pi\) |
−0.856197 | + | 0.516650i | \(0.827179\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 15.3209 | − | 12.8558i | 0.820108 | − | 0.688153i | −0.132889 | − | 0.991131i | \(-0.542425\pi\) |
0.952997 | + | 0.302978i | \(0.0979810\pi\) | |||||||
\(350\) | 4.89898 | 0.261861 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 1.87642 | − | 1.57450i | 0.0998717 | − | 0.0838023i | −0.591485 | − | 0.806316i | \(-0.701458\pi\) |
0.691356 | + | 0.722514i | \(0.257014\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.12567 | + | 17.7265i | −0.165893 | + | 0.940827i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −6.25133 | − | 35.4531i | −0.330393 | − | 1.87375i | ||||
\(359\) | −14.6969 | − | 25.4558i | −0.775675 | − | 1.34351i | −0.934414 | − | 0.356188i | \(-0.884076\pi\) |
0.158740 | − | 0.987320i | \(-0.449257\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.00000 | − | 15.5885i | 0.473684 | − | 0.820445i | ||||
\(362\) | −18.4141 | − | 6.70220i | −0.967826 | − | 0.352260i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −6.12836 | − | 5.14230i | −0.321213 | − | 0.269530i | ||||
\(365\) | −20.6406 | − | 17.3195i | −1.08038 | − | 0.906545i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −4.69846 | − | 1.71010i | −0.245258 | − | 0.0892665i | 0.216466 | − | 0.976290i | \(-0.430547\pi\) |
−0.461724 | + | 0.887024i | \(0.652769\pi\) | |||||||
\(368\) | 4.89898 | − | 8.48528i | 0.255377 | − | 0.442326i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 24.0000 | + | 41.5692i | 1.24770 | + | 2.16108i | ||||
\(371\) | 2.55210 | + | 14.4737i | 0.132498 | + | 0.751435i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −32.8892 | + | 11.9707i | −1.70294 | + | 0.619820i | −0.996155 | − | 0.0876084i | \(-0.972078\pi\) |
−0.706785 | + | 0.707428i | \(0.749855\pi\) | |||||||
\(374\) | −7.65629 | + | 43.4210i | −0.395897 | + | 2.24525i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 36.7701 | − | 30.8538i | 1.89627 | − | 1.59116i | ||||
\(377\) | 4.89898 | 0.252310 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 8.00000 | 0.410932 | 0.205466 | − | 0.978664i | \(-0.434129\pi\) | ||||
0.205466 | + | 0.978664i | \(0.434129\pi\) | |||||||
\(380\) | 7.50567 | − | 6.29801i | 0.385033 | − | 0.323081i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 4.16756 | − | 23.6354i | 0.213231 | − | 1.20929i | ||||
\(383\) | −32.2247 | + | 11.7288i | −1.64661 | + | 0.599316i | −0.988176 | − | 0.153324i | \(-0.951002\pi\) |
−0.658432 | + | 0.752641i | \(0.728780\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.08378 | − | 11.8177i | −0.106199 | − | 0.602285i | ||||
\(386\) | −13.4722 | − | 23.3345i | −0.685717 | − | 1.18770i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 14.0000 | − | 24.2487i | 0.710742 | − | 1.23104i | ||||
\(389\) | 25.3194 | + | 9.21552i | 1.28375 | + | 0.467246i | 0.891670 | − | 0.452687i | \(-0.149534\pi\) |
0.392077 | + | 0.919932i | \(0.371757\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 13.7888 | + | 11.5702i | 0.697330 | + | 0.585129i | ||||
\(392\) | −11.2585 | − | 9.44701i | −0.568641 | − | 0.477146i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −33.8289 | − | 12.3127i | −1.70428 | − | 0.620306i | ||||
\(395\) | −8.57321 | + | 14.8492i | −0.431365 | + | 0.747146i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0.500000 | + | 0.866025i | 0.0250943 | + | 0.0434646i | 0.878300 | − | 0.478110i | \(-0.158678\pi\) |
−0.853206 | + | 0.521575i | \(0.825345\pi\) | |||||||
\(398\) | −0.425349 | − | 2.41228i | −0.0213208 | − | 0.120916i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.75877 | + | 1.36808i | −0.187939 | + | 0.0684040i | ||||
\(401\) | 5.95489 | − | 33.7719i | 0.297373 | − | 1.68649i | −0.360024 | − | 0.932943i | \(-0.617232\pi\) |
0.657398 | − | 0.753544i | \(-0.271657\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.766044 | − | 0.642788i | 0.0381594 | − | 0.0320195i | ||||
\(404\) | −19.5959 | −0.974933 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −24.0000 | −1.19110 | ||||||||
\(407\) | 15.0113 | − | 12.5960i | 0.744085 | − | 0.624361i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −4.86215 | + | 27.5746i | −0.240418 | + | 1.36348i | 0.590480 | + | 0.807052i | \(0.298938\pi\) |
−0.830898 | + | 0.556425i | \(0.812173\pi\) | |||||||
\(410\) | 27.6212 | − | 10.0533i | 1.36411 | − | 0.496497i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −4.86215 | − | 27.5746i | −0.239541 | − | 1.35850i | ||||
\(413\) | 2.44949 | + | 4.24264i | 0.120532 | + | 0.208767i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −15.0000 | + | 25.9808i | −0.736321 | + | 1.27535i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −4.59627 | − | 3.85673i | −0.224811 | − | 0.188639i | ||||
\(419\) | 26.2699 | + | 22.0430i | 1.28337 | + | 1.07687i | 0.992771 | + | 0.120026i | \(0.0382978\pi\) |
0.290596 | + | 0.956846i | \(0.406147\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.87939 | − | 0.684040i | −0.0915956 | − | 0.0333381i | 0.295816 | − | 0.955245i | \(-0.404409\pi\) |
−0.387412 | + | 0.921907i | \(0.626631\pi\) | |||||||
\(422\) | 1.22474 | − | 2.12132i | 0.0596196 | − | 0.103264i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −18.0000 | − | 31.1769i | −0.874157 | − | 1.51408i | ||||
\(425\) | −1.27605 | − | 7.23683i | −0.0618974 | − | 0.351038i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −9.39693 | + | 3.42020i | −0.454749 | + | 0.165515i | ||||
\(428\) | 10.2084 | − | 57.8946i | 0.493441 | − | 2.79844i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −50.5589 | + | 42.4240i | −2.43817 | + | 2.04587i | ||||
\(431\) | −7.34847 | −0.353963 | −0.176982 | − | 0.984214i | \(-0.556633\pi\) | ||||
−0.176982 | + | 0.984214i | \(0.556633\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 17.0000 | 0.816968 | 0.408484 | − | 0.912766i | \(-0.366058\pi\) | ||||
0.408484 | + | 0.912766i | \(0.366058\pi\) | |||||||
\(434\) | −3.75284 | + | 3.14900i | −0.180142 | + | 0.151157i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.694593 | + | 3.93923i | −0.0332650 | + | 0.188655i | ||||
\(437\) | −2.30177 | + | 0.837775i | −0.110108 | + | 0.0400762i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2.43107 | + | 13.7873i | 0.116029 | + | 0.658032i | 0.986236 | + | 0.165346i | \(0.0528740\pi\) |
−0.870207 | + | 0.492687i | \(0.836015\pi\) | |||||||
\(440\) | 14.6969 | + | 25.4558i | 0.700649 | + | 1.21356i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −9.00000 | + | 15.5885i | −0.428086 | + | 0.741467i | ||||
\(443\) | 11.5088 | + | 4.18887i | 0.546801 | + | 0.199019i | 0.600625 | − | 0.799531i | \(-0.294919\pi\) |
−0.0538234 | + | 0.998550i | \(0.517141\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −13.1349 | − | 11.0215i | −0.621957 | − | 0.521884i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 15.0351 | + | 5.47232i | 0.710341 | + | 0.258543i | ||||
\(449\) | −11.0227 | + | 19.0919i | −0.520194 | + | 0.901002i | 0.479531 | + | 0.877525i | \(0.340807\pi\) |
−0.999724 | + | 0.0234766i | \(0.992526\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −6.00000 | − | 10.3923i | −0.282529 | − | 0.489355i | ||||
\(452\) | −6.80559 | − | 38.5964i | −0.320108 | − | 1.81542i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −22.5526 | + | 8.20848i | −1.05845 | + | 0.385243i | ||||
\(455\) | 0.850699 | − | 4.82455i | 0.0398814 | − | 0.226179i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 22.2153 | − | 18.6408i | 1.03919 | − | 0.871982i | 0.0472719 | − | 0.998882i | \(-0.484947\pi\) |
0.991915 | + | 0.126900i | \(0.0405028\pi\) | |||||||
\(458\) | −2.44949 | −0.114457 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 24.0000 | 1.11901 | ||||||||
\(461\) | −20.6406 | + | 17.3195i | −0.961328 | + | 0.806650i | −0.981169 | − | 0.193153i | \(-0.938129\pi\) |
0.0198402 | + | 0.999803i | \(0.493684\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −3.29932 | + | 18.7113i | −0.153332 | + | 0.869590i | 0.806963 | + | 0.590603i | \(0.201110\pi\) |
−0.960295 | + | 0.278987i | \(0.910001\pi\) | |||||||
\(464\) | 18.4141 | − | 6.70220i | 0.854855 | − | 0.311142i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −3.12567 | − | 17.7265i | −0.144794 | − | 0.821166i | ||||
\(467\) | −7.34847 | − | 12.7279i | −0.340047 | − | 0.588978i | 0.644394 | − | 0.764693i | \(-0.277110\pi\) |
−0.984441 | + | 0.175715i | \(0.943776\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 7.00000 | − | 12.1244i | 0.323230 | − | 0.559851i | ||||
\(470\) | 55.2424 | + | 20.1066i | 2.54814 | + | 0.927448i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −9.19253 | − | 7.71345i | −0.423121 | − | 0.355040i | ||||
\(473\) | 20.6406 | + | 17.3195i | 0.949056 | + | 0.796352i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.939693 | + | 0.342020i | 0.0431161 | + | 0.0156930i | ||||
\(476\) | 29.3939 | − | 50.9117i | 1.34727 | − | 2.33353i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 3.00000 | + | 5.19615i | 0.137217 | + | 0.237666i | ||||
\(479\) | −4.67884 | − | 26.5350i | −0.213782 | − | 1.21242i | −0.883008 | − | 0.469358i | \(-0.844485\pi\) |
0.669226 | − | 0.743059i | \(-0.266626\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 7.51754 | − | 2.73616i | 0.342770 | − | 0.124758i | ||||
\(482\) | −6.80559 | + | 38.5964i | −0.309986 | + | 1.75802i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −15.3209 | + | 12.8558i | −0.696404 | + | 0.584352i | ||||
\(485\) | 17.1464 | 0.778579 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 35.0000 | 1.58600 | 0.793001 | − | 0.609221i | \(-0.208518\pi\) | ||||
0.793001 | + | 0.609221i | \(0.208518\pi\) | |||||||
\(488\) | 18.7642 | − | 15.7450i | 0.849415 | − | 0.712743i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 3.12567 | − | 17.7265i | 0.141203 | − | 0.800803i | ||||
\(491\) | 36.8283 | − | 13.4044i | 1.66204 | − | 0.604932i | 0.671356 | − | 0.741135i | \(-0.265712\pi\) |
0.990681 | + | 0.136203i | \(0.0434899\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 6.25133 | + | 35.4531i | 0.281546 | + | 1.59673i | ||||
\(494\) | −1.22474 | − | 2.12132i | −0.0551039 | − | 0.0954427i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.00000 | − | 3.46410i | 0.0898027 | − | 0.155543i | ||||
\(497\) | −13.8106 | − | 5.02665i | −0.619490 | − | 0.225476i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.53209 | + | 1.28558i | 0.0685857 | + | 0.0575503i | 0.676436 | − | 0.736501i | \(-0.263524\pi\) |
−0.607850 | + | 0.794052i | \(0.707968\pi\) | |||||||
\(500\) | 30.0227 | + | 25.1920i | 1.34266 | + | 1.12662i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 16.9145 | + | 6.15636i | 0.754930 | + | 0.274772i | ||||
\(503\) | 7.34847 | − | 12.7279i | 0.327652 | − | 0.567510i | −0.654393 | − | 0.756154i | \(-0.727076\pi\) |
0.982045 | + | 0.188644i | \(0.0604093\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −6.00000 | − | 10.3923i | −0.266996 | − | 0.462451i | ||||
\(506\) | −2.55210 | − | 14.4737i | −0.113455 | − | 0.643433i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 71.4166 | − | 25.9935i | 3.16860 | − | 1.15328i | ||||
\(509\) | −1.70140 | + | 9.64911i | −0.0754131 | + | 0.427689i | 0.923603 | + | 0.383349i | \(0.125229\pi\) |
−0.999017 | + | 0.0443397i | \(0.985882\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 16.8530 | − | 14.1413i | 0.745532 | − | 0.625575i | ||||
\(512\) | −39.1918 | −1.73205 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −42.0000 | −1.85254 | ||||||||
\(515\) | 13.1349 | − | 11.0215i | 0.578794 | − | 0.485666i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.16756 | − | 23.6354i | 0.183289 | − | 1.03948i | ||||
\(518\) | −36.8283 | + | 13.4044i | −1.61814 | + | 0.588955i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.08378 | + | 11.8177i | 0.0913797 | + | 0.518240i | ||||
\(521\) | −11.0227 | − | 19.0919i | −0.482913 | − | 0.836431i | 0.516894 | − | 0.856049i | \(-0.327088\pi\) |
−0.999808 | + | 0.0196188i | \(0.993755\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 12.5000 | − | 21.6506i | 0.546587 | − | 0.946716i | −0.451918 | − | 0.892059i | \(-0.649260\pi\) |
0.998505 | − | 0.0546569i | \(-0.0174065\pi\) | |||||||
\(524\) | −46.0353 | − | 16.7555i | −2.01106 | − | 0.731967i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −50.5589 | − | 42.4240i | −2.20447 | − | 1.84977i | ||||
\(527\) | 5.62925 | + | 4.72350i | 0.245214 | + | 0.205759i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 15.9748 | + | 5.81434i | 0.694555 | + | 0.252797i | ||||
\(530\) | 22.0454 | − | 38.1838i | 0.957591 | − | 1.65860i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 4.00000 | + | 6.92820i | 0.173422 | + | 0.300376i | ||||
\(533\) | −0.850699 | − | 4.82455i | −0.0368479 | − | 0.208975i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 33.8289 | − | 12.3127i | 1.46255 | − | 0.532326i | ||||
\(536\) | −5.95489 | + | 33.7719i | −0.257212 | + | 1.45872i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −41.3664 | + | 34.7105i | −1.78343 | + | 1.49648i | ||||
\(539\) | −7.34847 | −0.316521 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −28.0000 | −1.20381 | −0.601907 | − | 0.798566i | \(-0.705592\pi\) | ||||
−0.601907 | + | 0.798566i | \(0.705592\pi\) | |||||||
\(542\) | −13.1349 | + | 11.0215i | −0.564193 | + | 0.473414i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −2.30177 | + | 0.837775i | −0.0985969 | + | 0.0358863i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.25743 | − | 12.8025i | −0.0965206 | − | 0.547395i | −0.994271 | − | 0.106891i | \(-0.965911\pi\) |
0.897750 | − | 0.440505i | \(-0.145201\pi\) | |||||||
\(548\) | −19.5959 | − | 33.9411i | −0.837096 | − | 1.44989i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −3.00000 | + | 5.19615i | −0.127920 | + | 0.221565i | ||||
\(551\) | −4.60353 | − | 1.67555i | −0.196117 | − | 0.0713808i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −10.7246 | − | 8.99903i | −0.456057 | − | 0.382678i | ||||
\(554\) | 20.6406 | + | 17.3195i | 0.876935 | + | 0.735836i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 37.5877 | + | 13.6808i | 1.59407 | + | 0.580195i | ||||
\(557\) | −3.67423 | + | 6.36396i | −0.155682 | + | 0.269650i | −0.933307 | − | 0.359079i | \(-0.883091\pi\) |
0.777625 | + | 0.628728i | \(0.216424\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 5.50000 | + | 9.52628i | 0.232625 | + | 0.402919i | ||||
\(560\) | −3.40280 | − | 19.2982i | −0.143794 | − | 0.815498i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 28.1908 | − | 10.2606i | 1.18916 | − | 0.432817i | ||||
\(563\) | 2.12675 | − | 12.0614i | 0.0896317 | − | 0.508327i | −0.906629 | − | 0.421929i | \(-0.861353\pi\) |
0.996261 | − | 0.0863979i | \(-0.0275356\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 18.3851 | − | 15.4269i | 0.773466 | − | 0.649015i | ||||
\(566\) | 41.6413 | 1.75032 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 36.0000 | 1.51053 | ||||||||
\(569\) | −9.38209 | + | 7.87251i | −0.393318 | + | 0.330033i | −0.817904 | − | 0.575355i | \(-0.804864\pi\) |
0.424586 | + | 0.905387i | \(0.360420\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1.73648 | + | 9.84808i | −0.0726695 | + | 0.412129i | 0.926673 | + | 0.375869i | \(0.122656\pi\) |
−0.999342 | + | 0.0362604i | \(0.988455\pi\) | |||||||
\(572\) | 9.20707 | − | 3.35110i | 0.384967 | − | 0.140117i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 4.16756 | + | 23.6354i | 0.173950 | + | 0.986522i | ||||
\(575\) | 1.22474 | + | 2.12132i | 0.0510754 | + | 0.0884652i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 12.5000 | − | 21.6506i | 0.520382 | − | 0.901328i | −0.479337 | − | 0.877631i | \(-0.659123\pi\) |
0.999719 | − | 0.0236970i | \(-0.00754370\pi\) | |||||||
\(578\) | −85.1654 | − | 30.9977i | −3.54241 | − | 1.28933i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 36.7701 | + | 30.8538i | 1.52680 | + | 1.28113i | ||||
\(581\) | −18.7642 | − | 15.7450i | −0.778469 | − | 0.653213i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −16.9145 | − | 6.15636i | −0.700526 | − | 0.254970i | ||||
\(584\) | −26.9444 | + | 46.6690i | −1.11497 | + | 1.93118i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −6.00000 | − | 10.3923i | −0.247858 | − | 0.429302i | ||||
\(587\) | 0.425349 | + | 2.41228i | 0.0175560 | + | 0.0995653i | 0.992327 | − | 0.123644i | \(-0.0394579\pi\) |
−0.974771 | + | 0.223209i | \(0.928347\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.939693 | + | 0.342020i | −0.0387194 | + | 0.0140927i | ||||
\(590\) | 2.55210 | − | 14.4737i | 0.105068 | − | 0.595871i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 24.5134 | − | 20.5692i | 1.00750 | − | 0.845389i | ||||
\(593\) | 7.34847 | 0.301765 | 0.150883 | − | 0.988552i | \(-0.451788\pi\) | ||||
0.150883 | + | 0.988552i | \(0.451788\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 36.0000 | 1.47586 | ||||||||
\(596\) | 37.5284 | − | 31.4900i | 1.53722 | − | 1.28988i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 1.04189 | − | 5.90885i | 0.0426060 | − | 0.241631i | ||||
\(599\) | 36.8283 | − | 13.4044i | 1.50476 | − | 0.547689i | 0.547474 | − | 0.836823i | \(-0.315589\pi\) |
0.957289 | + | 0.289134i | \(0.0933673\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1.21554 | − | 6.89365i | −0.0495828 | − | 0.281198i | 0.949928 | − | 0.312468i | \(-0.101156\pi\) |
−0.999511 | + | 0.0312703i | \(0.990045\pi\) | |||||||
\(602\) | −26.9444 | − | 46.6690i | −1.09817 | − | 1.90209i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −10.0000 | + | 17.3205i | −0.406894 | + | 0.704761i | ||||
\(605\) | −11.5088 | − | 4.18887i | −0.467901 | − | 0.170302i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 33.7060 | + | 28.2827i | 1.36808 | + | 1.14796i | 0.973393 | + | 0.229143i | \(0.0735924\pi\) |
0.394690 | + | 0.918814i | \(0.370852\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 28.1908 | + | 10.2606i | 1.14141 | + | 0.415440i | ||||
\(611\) | 4.89898 | − | 8.48528i | 0.198191 | − | 0.343278i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −5.50000 | − | 9.52628i | −0.222143 | − | 0.384763i | 0.733316 | − | 0.679888i | \(-0.237972\pi\) |
−0.955458 | + | 0.295126i | \(0.904638\pi\) | |||||||
\(614\) | 0.850699 | + | 4.82455i | 0.0343314 | + | 0.194703i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −22.5526 | + | 8.20848i | −0.908671 | + | 0.330729i | ||||
\(617\) | −4.25349 | + | 24.1228i | −0.171239 | + | 0.971146i | 0.771156 | + | 0.636646i | \(0.219679\pi\) |
−0.942396 | + | 0.334500i | \(0.891432\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −37.5362 | + | 31.4966i | −1.50871 | + | 1.26595i | −0.642481 | + | 0.766302i | \(0.722095\pi\) |
−0.866226 | + | 0.499653i | \(0.833461\pi\) | |||||||
\(620\) | 9.79796 | 0.393496 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −60.0000 | −2.40578 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −5.03580 | + | 28.5594i | −0.201432 | + | 1.14238i | ||||
\(626\) | 36.8283 | − | 13.4044i | 1.47195 | − | 0.535747i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 11.8081 | + | 66.9669i | 0.471194 | + | 2.67227i | ||||
\(629\) | 29.3939 | + | 50.9117i | 1.17201 | + | 2.02998i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −22.0000 | + | 38.1051i | −0.875806 | + | 1.51694i | −0.0199047 | + | 0.999802i | \(0.506336\pi\) |
−0.855901 | + | 0.517139i | \(0.826997\pi\) | |||||||
\(632\) | 32.2247 | + | 11.7288i | 1.28183 | + | 0.466549i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 18.3851 | + | 15.4269i | 0.730164 | + | 0.612681i | ||||
\(635\) | 35.6519 | + | 29.9155i | 1.41480 | + | 1.18716i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2.81908 | − | 1.02606i | −0.111696 | − | 0.0406540i | ||||
\(638\) | 14.6969 | − | 25.4558i | 0.581857 | − | 1.00781i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −24.0000 | − | 41.5692i | −0.948683 | − | 1.64317i | ||||
\(641\) | 2.97745 | + | 16.8859i | 0.117602 | + | 0.666954i | 0.985429 | + | 0.170088i | \(0.0544051\pi\) |
−0.867827 | + | 0.496867i | \(0.834484\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −35.7083 | + | 12.9968i | −1.40820 | + | 0.512542i | −0.930601 | − | 0.366036i | \(-0.880715\pi\) |
−0.477598 | + | 0.878578i | \(0.658492\pi\) | |||||||
\(644\) | −3.40280 | + | 19.2982i | −0.134089 | + | 0.760456i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 13.7888 | − | 11.5702i | 0.542513 | − | 0.455223i | ||||
\(647\) | 36.7423 | 1.44449 | 0.722245 | − | 0.691637i | \(-0.243110\pi\) | ||||
0.722245 | + | 0.691637i | \(0.243110\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −6.00000 | −0.235521 | ||||||||
\(650\) | −1.87642 | + | 1.57450i | −0.0735992 | + | 0.0617570i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −6.94593 | + | 39.3923i | −0.272023 | + | 1.54272i | ||||
\(653\) | 9.20707 | − | 3.35110i | 0.360300 | − | 0.131139i | −0.155526 | − | 0.987832i | \(-0.549707\pi\) |
0.515826 | + | 0.856693i | \(0.327485\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −5.20945 | − | 29.5442i | −0.203550 | − | 1.15439i | ||||
\(656\) | −9.79796 | − | 16.9706i | −0.382546 | − | 0.662589i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −24.0000 | + | 41.5692i | −0.935617 | + | 1.62054i | ||||
\(659\) | 18.4141 | + | 6.70220i | 0.717313 | + | 0.261081i | 0.674785 | − | 0.738015i | \(-0.264236\pi\) |
0.0425284 | + | 0.999095i | \(0.486459\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 8.42649 | + | 7.07066i | 0.327752 | + | 0.275017i | 0.791783 | − | 0.610802i | \(-0.209153\pi\) |
−0.464031 | + | 0.885819i | \(0.653597\pi\) | |||||||
\(662\) | −13.1349 | − | 11.0215i | −0.510503 | − | 0.428363i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 56.3816 | + | 20.5212i | 2.18803 | + | 0.796377i | ||||
\(665\) | −2.44949 | + | 4.24264i | −0.0949871 | + | 0.164523i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −6.00000 | − | 10.3923i | −0.232321 | − | 0.402392i | ||||
\(668\) | 3.40280 | + | 19.2982i | 0.131658 | + | 0.746670i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −39.4671 | + | 14.3648i | −1.52475 | + | 0.554962i | ||||
\(671\) | 2.12675 | − | 12.0614i | 0.0821022 | − | 0.465625i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 22.2153 | − | 18.6408i | 0.856336 | − | 0.718552i | −0.104839 | − | 0.994489i | \(-0.533433\pi\) |
0.961176 | + | 0.275938i | \(0.0889883\pi\) | |||||||
\(674\) | −68.5857 | −2.64182 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −48.0000 | −1.84615 | ||||||||
\(677\) | 35.6519 | − | 29.9155i | 1.37022 | − | 1.14975i | 0.397538 | − | 0.917586i | \(-0.369865\pi\) |
0.972677 | − | 0.232162i | \(-0.0745798\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.43107 | + | 13.7873i | −0.0932961 | + | 0.529108i | ||||
\(680\) | −82.8636 | + | 30.1599i | −3.17768 | + | 1.15658i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −1.04189 | − | 5.90885i | −0.0398960 | − | 0.226261i | ||||
\(683\) | 11.0227 | + | 19.0919i | 0.421772 | + | 0.730531i | 0.996113 | − | 0.0880857i | \(-0.0280749\pi\) |
−0.574341 | + | 0.818616i | \(0.694742\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 12.0000 | − | 20.7846i | 0.458496 | − | 0.794139i | ||||
\(686\) | 46.0353 | + | 16.7555i | 1.75764 | + | 0.639728i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 33.7060 | + | 28.2827i | 1.28503 | + | 1.07827i | ||||
\(689\) | −5.62925 | − | 4.72350i | −0.214457 | − | 0.179951i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −44.1656 | − | 16.0749i | −1.68014 | − | 0.611520i | −0.686808 | − | 0.726839i | \(-0.740989\pi\) |
−0.993329 | + | 0.115319i | \(0.963211\pi\) | |||||||
\(692\) | −19.5959 | + | 33.9411i | −0.744925 | + | 1.29025i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 30.0000 | + | 51.9615i | 1.13878 | + | 1.97243i | ||||
\(695\) | 4.25349 | + | 24.1228i | 0.161344 | + | 0.915029i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 33.8289 | − | 12.3127i | 1.28136 | − | 0.466378i | ||||
\(698\) | 8.50699 | − | 48.2455i | 0.321994 | − | 1.82612i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 6.12836 | − | 5.14230i | 0.231630 | − | 0.194361i | ||||
\(701\) | −14.6969 | −0.555096 | −0.277548 | − | 0.960712i | \(-0.589522\pi\) | ||||
−0.277548 | + | 0.960712i | \(0.589522\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −8.00000 | −0.301726 | ||||||||
\(704\) | −15.0113 | + | 12.5960i | −0.565761 | + | 0.474730i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.04189 | − | 5.90885i | 0.0392120 | − | 0.222382i | ||||
\(707\) | 9.20707 | − | 3.35110i | 0.346267 | − | 0.126031i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.21554 | − | 6.89365i | −0.0456505 | − | 0.258897i | 0.953438 | − | 0.301590i | \(-0.0975173\pi\) |
−0.999088 | + | 0.0426932i | \(0.986406\pi\) | |||||||
\(710\) | 22.0454 | + | 38.1838i | 0.827349 | + | 1.43301i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −2.30177 | − | 0.837775i | −0.0862019 | − | 0.0313749i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 4.59627 | + | 3.85673i | 0.171891 | + | 0.144233i | ||||
\(716\) | −45.0340 | − | 37.7880i | −1.68300 | − | 1.41221i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −67.6579 | − | 24.6255i | −2.52497 | − | 0.919014i | ||||
\(719\) | 18.3712 | − | 31.8198i | 0.685129 | − | 1.18668i | −0.288267 | − | 0.957550i | \(-0.593079\pi\) |
0.973396 | − | 0.229128i | \(-0.0735876\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 7.00000 | + | 12.1244i | 0.260694 | + | 0.451535i | ||||
\(722\) | −7.65629 | − | 43.4210i | −0.284938 | − | 1.61596i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −30.0702 | + | 10.9446i | −1.11755 | + | 0.406755i | ||||
\(725\) | −0.850699 | + | 4.82455i | −0.0315942 | + | 0.179179i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 10.7246 | − | 8.99903i | 0.397754 | − | 0.333755i | −0.421871 | − | 0.906656i | \(-0.638626\pi\) |
0.819625 | + | 0.572901i | \(0.194182\pi\) | |||||||
\(728\) | −9.79796 | −0.363137 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −66.0000 | −2.44277 | ||||||||
\(731\) | −61.9218 | + | 51.9586i | −2.29026 | + | 1.92176i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 2.95202 | − | 16.7417i | 0.109035 | − | 0.618370i | −0.880496 | − | 0.474053i | \(-0.842790\pi\) |
0.989532 | − | 0.144317i | \(-0.0460984\pi\) | |||||||
\(734\) | −11.5088 | + | 4.18887i | −0.424799 | + | 0.154614i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 8.57321 | + | 14.8492i | 0.315798 | + | 0.546979i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 0.500000 | − | 0.866025i | 0.0183928 | − | 0.0318573i | −0.856683 | − | 0.515844i | \(-0.827478\pi\) |
0.875075 | + | 0.483987i | \(0.160812\pi\) | |||||||
\(740\) | 73.6566 | + | 26.8088i | 2.70767 | + | 0.985511i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 27.5776 | + | 23.1404i | 1.01241 | + | 0.849509i | ||||
\(743\) | −24.3934 | − | 20.4685i | −0.894908 | − | 0.750917i | 0.0742802 | − | 0.997237i | \(-0.476334\pi\) |
−0.969189 | + | 0.246320i | \(0.920779\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 28.1908 | + | 10.2606i | 1.03283 | + | 0.375919i | ||||
\(746\) | −42.8661 | + | 74.2462i | −1.56944 | + | 2.71835i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 36.0000 | + | 62.3538i | 1.31629 | + | 2.27988i | ||||
\(749\) | 5.10419 | + | 28.9473i | 0.186503 | + | 1.05771i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −24.4320 | + | 8.89252i | −0.891537 | + | 0.324493i | −0.746856 | − | 0.664986i | \(-0.768438\pi\) |
−0.144680 | + | 0.989478i | \(0.546215\pi\) | |||||||
\(752\) | 6.80559 | − | 38.5964i | 0.248174 | − | 1.40747i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 9.19253 | − | 7.71345i | 0.334772 | − | 0.280907i | ||||
\(755\) | −12.2474 | −0.445730 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −7.00000 | −0.254419 | −0.127210 | − | 0.991876i | \(-0.540602\pi\) | ||||
−0.127210 | + | 0.991876i | \(0.540602\pi\) | |||||||
\(758\) | 15.0113 | − | 12.5960i | 0.545237 | − | 0.457508i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2.08378 | − | 11.8177i | 0.0755866 | − | 0.428673i | ||||
\(761\) | 2.30177 | − | 0.837775i | 0.0834390 | − | 0.0303693i | −0.299963 | − | 0.953951i | \(-0.596974\pi\) |
0.383402 | + | 0.923581i | \(0.374752\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.347296 | − | 1.96962i | −0.0125730 | − | 0.0713049i | ||||
\(764\) | −19.5959 | − | 33.9411i | −0.708955 | − | 1.22795i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −42.0000 | + | 72.7461i | −1.51752 | + | 2.62842i | ||||
\(767\) | −2.30177 | − | 0.837775i | −0.0831120 | − | 0.0302503i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −28.3436 | − | 23.7831i | −1.02210 | − | 0.857642i | −0.0322082 | − | 0.999481i | \(-0.510254\pi\) |
−0.989890 | + | 0.141839i | \(0.954698\pi\) | |||||||
\(770\) | −22.5170 | − | 18.8940i | −0.811457 | − | 0.680893i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −41.3465 | − | 15.0489i | −1.48809 | − | 0.541621i | ||||
\(773\) | 22.0454 | − | 38.1838i | 0.792918 | − | 1.37337i | −0.131235 | − | 0.991351i | \(-0.541894\pi\) |
0.924153 | − | 0.382023i | \(-0.124773\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.500000 | + | 0.866025i | 0.0179605 | + | 0.0311086i | ||||
\(776\) | −5.95489 | − | 33.7719i | −0.213768 | − | 1.21234i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 62.0197 | − | 22.5733i | 2.22351 | − | 0.809293i | ||||
\(779\) | −0.850699 | + | 4.82455i | −0.0304794 | + | 0.172858i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 13.7888 | − | 11.5702i | 0.493402 | − | 0.414013i | ||||
\(782\) | 44.0908 | 1.57668 |