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 | 163.1 | ||
Root | \(-0.909039 + 1.08335i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.163 |
Dual form | 729.2.e.p.568.1 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.30177 | + | 0.837775i | −1.62760 | + | 0.592396i | −0.984808 | − | 0.173648i | \(-0.944444\pi\) |
−0.642788 | + | 0.766044i | \(0.722222\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 3.06418 | − | 2.57115i | 1.53209 | − | 1.28558i | ||||
\(5\) | −0.425349 | − | 2.41228i | −0.190222 | − | 1.07880i | −0.919060 | − | 0.394117i | \(-0.871050\pi\) |
0.728838 | − | 0.684686i | \(-0.240061\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.53209 | + | 1.28558i | 0.579075 | + | 0.485902i | 0.884643 | − | 0.466268i | \(-0.154402\pi\) |
−0.305568 | + | 0.952170i | \(0.598846\pi\) | |||||||
\(8\) | −2.44949 | + | 4.24264i | −0.866025 | + | 1.50000i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 3.00000 | + | 5.19615i | 0.948683 | + | 1.64317i | ||||
\(11\) | 0.425349 | − | 2.41228i | 0.128248 | − | 0.727329i | −0.851078 | − | 0.525039i | \(-0.824051\pi\) |
0.979326 | − | 0.202290i | \(-0.0648382\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.939693 | + | 0.342020i | 0.260624 | + | 0.0948593i | 0.469027 | − | 0.883184i | \(-0.344605\pi\) |
−0.208404 | + | 0.978043i | \(0.566827\pi\) | |||||||
\(14\) | −4.60353 | − | 1.67555i | −1.23035 | − | 0.447809i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.694593 | − | 3.93923i | 0.173648 | − | 0.984808i | ||||
\(17\) | 3.67423 | + | 6.36396i | 0.891133 | + | 1.54349i | 0.838519 | + | 0.544872i | \(0.183422\pi\) |
0.0526138 | + | 0.998615i | \(0.483245\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.500000 | − | 0.866025i | 0.114708 | − | 0.198680i | −0.802955 | − | 0.596040i | \(-0.796740\pi\) |
0.917663 | + | 0.397360i | \(0.130073\pi\) | |||||||
\(20\) | −7.50567 | − | 6.29801i | −1.67832 | − | 1.40828i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.04189 | + | 5.90885i | 0.222131 | + | 1.25977i | ||||
\(23\) | −1.87642 | + | 1.57450i | −0.391260 | + | 0.328306i | −0.817104 | − | 0.576490i | \(-0.804422\pi\) |
0.425844 | + | 0.904797i | \(0.359977\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.939693 | + | 0.342020i | −0.187939 | + | 0.0684040i | ||||
\(26\) | −2.44949 | −0.480384 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 8.00000 | 1.51186 | ||||||||
\(29\) | 4.60353 | − | 1.67555i | 0.854855 | − | 0.311142i | 0.122837 | − | 0.992427i | \(-0.460801\pi\) |
0.732018 | + | 0.681285i | \(0.238579\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.766044 | + | 0.642788i | −0.137586 | + | 0.115448i | −0.708983 | − | 0.705225i | \(-0.750846\pi\) |
0.571398 | + | 0.820673i | \(0.306401\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −13.7888 | − | 11.5702i | −2.36476 | − | 1.98427i | ||||
\(35\) | 2.44949 | − | 4.24264i | 0.414039 | − | 0.717137i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.00000 | − | 6.92820i | −0.657596 | − | 1.13899i | −0.981236 | − | 0.192809i | \(-0.938240\pi\) |
0.323640 | − | 0.946180i | \(-0.395093\pi\) | |||||||
\(38\) | −0.425349 | + | 2.41228i | −0.0690008 | + | 0.391323i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 11.2763 | + | 4.10424i | 1.78294 | + | 0.648938i | ||||
\(41\) | −4.60353 | − | 1.67555i | −0.718951 | − | 0.261677i | −0.0434708 | − | 0.999055i | \(-0.513842\pi\) |
−0.675481 | + | 0.737378i | \(0.736064\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.91013 | − | 10.8329i | 0.291292 | − | 1.65200i | −0.390610 | − | 0.920556i | \(-0.627736\pi\) |
0.681902 | − | 0.731443i | \(-0.261153\pi\) | |||||||
\(44\) | −4.89898 | − | 8.48528i | −0.738549 | − | 1.27920i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.00000 | − | 5.19615i | 0.442326 | − | 0.766131i | ||||
\(47\) | 7.50567 | + | 6.29801i | 1.09481 | + | 0.918659i | 0.997066 | − | 0.0765524i | \(-0.0243912\pi\) |
0.0977492 | + | 0.995211i | \(0.468836\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.520945 | − | 2.95442i | −0.0744206 | − | 0.422060i | ||||
\(50\) | 1.87642 | − | 1.57450i | 0.265366 | − | 0.222668i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 3.75877 | − | 1.36808i | 0.521248 | − | 0.189719i | ||||
\(53\) | 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 | ||||||||
\(56\) | −9.20707 | + | 3.35110i | −1.23035 | + | 0.447809i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −9.19253 | + | 7.71345i | −1.20704 | + | 1.01283i | ||||
\(59\) | −0.425349 | − | 2.41228i | −0.0553758 | − | 0.314052i | 0.944521 | − | 0.328452i | \(-0.106527\pi\) |
−0.999896 | + | 0.0144007i | \(0.995416\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.83022 | + | 3.21394i | 0.490410 | + | 0.411503i | 0.854173 | − | 0.519989i | \(-0.174064\pi\) |
−0.363763 | + | 0.931491i | \(0.618508\pi\) | |||||||
\(62\) | 1.22474 | − | 2.12132i | 0.155543 | − | 0.269408i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4.00000 | + | 6.92820i | 0.500000 | + | 0.866025i | ||||
\(65\) | 0.425349 | − | 2.41228i | 0.0527581 | − | 0.299206i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.57785 | + | 2.39414i | 0.803612 | + | 0.292491i | 0.710982 | − | 0.703210i | \(-0.248251\pi\) |
0.0926296 | + | 0.995701i | \(0.470473\pi\) | |||||||
\(68\) | 27.6212 | + | 10.0533i | 3.34956 | + | 1.21914i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −2.08378 | + | 11.8177i | −0.249059 | + | 1.41248i | ||||
\(71\) | −3.67423 | − | 6.36396i | −0.436051 | − | 0.755263i | 0.561329 | − | 0.827592i | \(-0.310290\pi\) |
−0.997381 | + | 0.0723293i | \(0.976957\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −5.50000 | + | 9.52628i | −0.643726 | + | 1.11497i | 0.340868 | + | 0.940111i | \(0.389279\pi\) |
−0.984594 | + | 0.174855i | \(0.944054\pi\) | |||||||
\(74\) | 15.0113 | + | 12.5960i | 1.74503 | + | 1.46426i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.694593 | − | 3.93923i | −0.0796752 | − | 0.451861i | ||||
\(77\) | 3.75284 | − | 3.14900i | 0.427675 | − | 0.358862i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 6.57785 | − | 2.39414i | 0.740066 | − | 0.269362i | 0.0556465 | − | 0.998451i | \(-0.482278\pi\) |
0.684419 | + | 0.729089i | \(0.260056\pi\) | |||||||
\(80\) | −9.79796 | −1.09545 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 12.0000 | 1.32518 | ||||||||
\(83\) | 11.5088 | − | 4.18887i | 1.26326 | − | 0.459789i | 0.378398 | − | 0.925643i | \(-0.376475\pi\) |
0.884861 | + | 0.465854i | \(0.154253\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 13.7888 | − | 11.5702i | 1.49561 | − | 1.25496i | ||||
\(86\) | 4.67884 | + | 26.5350i | 0.504533 | + | 2.86135i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 9.19253 | + | 7.71345i | 0.979927 | + | 0.822257i | ||||
\(89\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.00000 | + | 1.73205i | 0.104828 | + | 0.181568i | ||||
\(92\) | −1.70140 | + | 9.64911i | −0.177383 | + | 1.00599i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −22.5526 | − | 8.20848i | −2.32613 | − | 0.846640i | ||||
\(95\) | −2.30177 | − | 0.837775i | −0.236156 | − | 0.0859539i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.21554 | + | 6.89365i | −0.123419 | + | 0.699945i | 0.858815 | + | 0.512286i | \(0.171201\pi\) |
−0.982234 | + | 0.187659i | \(0.939910\pi\) | |||||||
\(98\) | 3.67423 | + | 6.36396i | 0.371154 | + | 0.642857i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.00000 | + | 3.46410i | −0.200000 | + | 0.346410i | ||||
\(101\) | −3.75284 | − | 3.14900i | −0.373421 | − | 0.313338i | 0.436692 | − | 0.899611i | \(-0.356150\pi\) |
−0.810113 | + | 0.586274i | \(0.800594\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.21554 | − | 6.89365i | −0.119770 | − | 0.679252i | −0.984277 | − | 0.176631i | \(-0.943480\pi\) |
0.864507 | − | 0.502621i | \(-0.167631\pi\) | |||||||
\(104\) | −3.75284 | + | 3.14900i | −0.367996 | + | 0.308785i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −16.9145 | + | 6.15636i | −1.64288 | + | 0.597959i | ||||
\(107\) | 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 | \(0.515250\pi\) | |||||||
\(110\) | 13.8106 | − | 5.02665i | 1.31679 | − | 0.479272i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 6.12836 | − | 5.14230i | 0.579075 | − | 0.485902i | ||||
\(113\) | −1.70140 | − | 9.64911i | −0.160054 | − | 0.907712i | −0.954019 | − | 0.299747i | \(-0.903098\pi\) |
0.793965 | − | 0.607964i | \(-0.208014\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.59627 | + | 3.85673i | 0.428604 | + | 0.359642i | ||||
\(116\) | 9.79796 | − | 16.9706i | 0.909718 | − | 1.57568i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 3.00000 | + | 5.19615i | 0.276172 | + | 0.478345i | ||||
\(119\) | −2.55210 | + | 14.4737i | −0.233950 | + | 1.32680i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.69846 | + | 1.71010i | 0.427133 | + | 0.155464i | ||||
\(122\) | −11.5088 | − | 4.18887i | −1.04196 | − | 0.379243i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.694593 | + | 3.93923i | −0.0623763 | + | 0.353753i | ||||
\(125\) | −4.89898 | − | 8.48528i | −0.438178 | − | 0.758947i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.50000 | − | 16.4545i | 0.842989 | − | 1.46010i | −0.0443678 | − | 0.999015i | \(-0.514127\pi\) |
0.887357 | − | 0.461084i | \(-0.152539\pi\) | |||||||
\(128\) | −15.0113 | − | 12.5960i | −1.32683 | − | 1.11334i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.04189 | + | 5.90885i | 0.0913797 | + | 0.518240i | ||||
\(131\) | 9.38209 | − | 7.87251i | 0.819717 | − | 0.687824i | −0.133189 | − | 0.991091i | \(-0.542522\pi\) |
0.952906 | + | 0.303266i | \(0.0980772\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.87939 | − | 0.684040i | 0.162963 | − | 0.0593138i | ||||
\(134\) | −17.1464 | −1.48123 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −36.0000 | −3.08697 | ||||||||
\(137\) | −9.20707 | + | 3.35110i | −0.786613 | + | 0.286304i | −0.703927 | − | 0.710272i | \(-0.748572\pi\) |
−0.0826857 | + | 0.996576i | \(0.526350\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −7.66044 | + | 6.42788i | −0.649750 | + | 0.545205i | −0.906995 | − | 0.421141i | \(-0.861630\pi\) |
0.257245 | + | 0.966346i | \(0.417185\pi\) | |||||||
\(140\) | −3.40280 | − | 19.2982i | −0.287589 | − | 1.63100i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 13.7888 | + | 11.5702i | 1.15713 | + | 0.970948i | ||||
\(143\) | 1.22474 | − | 2.12132i | 0.102418 | − | 0.177394i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.00000 | − | 10.3923i | −0.498273 | − | 0.863034i | ||||
\(146\) | 4.67884 | − | 26.5350i | 0.387224 | − | 2.19606i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −30.0702 | − | 10.9446i | −2.47175 | − | 0.899644i | ||||
\(149\) | −11.5088 | − | 4.18887i | −0.942841 | − | 0.343166i | −0.175554 | − | 0.984470i | \(-0.556172\pi\) |
−0.767287 | + | 0.641304i | \(0.778394\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.868241 | − | 4.92404i | 0.0706564 | − | 0.400713i | −0.928883 | − | 0.370373i | \(-0.879230\pi\) |
0.999540 | − | 0.0303398i | \(-0.00965894\pi\) | |||||||
\(152\) | 2.44949 | + | 4.24264i | 0.198680 | + | 0.344124i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −6.00000 | + | 10.3923i | −0.483494 | + | 0.837436i | ||||
\(155\) | 1.87642 | + | 1.57450i | 0.150718 | + | 0.126467i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.95202 | + | 16.7417i | 0.235597 | + | 1.33614i | 0.841353 | + | 0.540486i | \(0.181759\pi\) |
−0.605757 | + | 0.795650i | \(0.707129\pi\) | |||||||
\(158\) | −13.1349 | + | 11.0215i | −1.04496 | + | 0.876824i | ||||
\(159\) | 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 | \(0.628089\pi\) | |||||||
\(164\) | −18.4141 | + | 6.70220i | −1.43790 | + | 0.523354i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −22.9813 | + | 19.2836i | −1.78370 | + | 1.49670i | ||||
\(167\) | 0.850699 | + | 4.82455i | 0.0658291 | + | 0.373335i | 0.999869 | + | 0.0161673i | \(0.00514645\pi\) |
−0.934040 | + | 0.357168i | \(0.883742\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.19253 | − | 7.71345i | −0.707118 | − | 0.593342i | ||||
\(170\) | −22.0454 | + | 38.1838i | −1.69081 | + | 2.92856i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −22.0000 | − | 38.1051i | −1.67748 | − | 2.90549i | ||||
\(173\) | 1.70140 | − | 9.64911i | 0.129355 | − | 0.733608i | −0.849271 | − | 0.527958i | \(-0.822958\pi\) |
0.978626 | − | 0.205650i | \(-0.0659309\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.87939 | − | 0.684040i | −0.142068 | − | 0.0517086i | ||||
\(176\) | −9.20707 | − | 3.35110i | −0.694009 | − | 0.252599i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 7.34847 | + | 12.7279i | 0.549250 | + | 0.951330i | 0.998326 | + | 0.0578359i | \(0.0184200\pi\) |
−0.449076 | + | 0.893494i | \(0.648247\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.00000 | + | 6.92820i | −0.297318 | + | 0.514969i | −0.975521 | − | 0.219905i | \(-0.929425\pi\) |
0.678204 | + | 0.734874i | \(0.262759\pi\) | |||||||
\(182\) | −3.75284 | − | 3.14900i | −0.278179 | − | 0.233420i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −2.08378 | − | 11.8177i | −0.153618 | − | 0.871212i | ||||
\(185\) | −15.0113 | + | 12.5960i | −1.10366 | + | 0.926077i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 16.9145 | − | 6.15636i | 1.23691 | − | 0.450198i | ||||
\(188\) | 39.1918 | 2.85836 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 6.00000 | 0.435286 | ||||||||
\(191\) | −9.20707 | + | 3.35110i | −0.666200 | + | 0.242477i | −0.652911 | − | 0.757435i | \(-0.726452\pi\) |
−0.0132892 | + | 0.999912i | \(0.504230\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 8.42649 | − | 7.07066i | 0.606552 | − | 0.508958i | −0.286992 | − | 0.957933i | \(-0.592655\pi\) |
0.893544 | + | 0.448975i | \(0.148211\pi\) | |||||||
\(194\) | −2.97745 | − | 16.8859i | −0.213768 | − | 1.21234i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −9.19253 | − | 7.71345i | −0.656610 | − | 0.550961i | ||||
\(197\) | −7.34847 | + | 12.7279i | −0.523557 | + | 0.906827i | 0.476067 | + | 0.879409i | \(0.342062\pi\) |
−0.999624 | + | 0.0274180i | \(0.991271\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.500000 | + | 0.866025i | 0.0354441 | + | 0.0613909i | 0.883203 | − | 0.468990i | \(-0.155382\pi\) |
−0.847759 | + | 0.530381i | \(0.822049\pi\) | |||||||
\(200\) | 0.850699 | − | 4.82455i | 0.0601535 | − | 0.341147i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 11.2763 | + | 4.10424i | 0.793399 | + | 0.288773i | ||||
\(203\) | 9.20707 | + | 3.35110i | 0.646210 | + | 0.235201i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.08378 | + | 11.8177i | −0.145537 | + | 0.825383i | ||||
\(206\) | 8.57321 | + | 14.8492i | 0.597324 | + | 1.03460i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.00000 | − | 3.46410i | 0.138675 | − | 0.240192i | ||||
\(209\) | −1.87642 | − | 1.57450i | −0.129795 | − | 0.108911i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.173648 | − | 0.984808i | −0.0119544 | − | 0.0677970i | 0.978247 | − | 0.207444i | \(-0.0665144\pi\) |
−0.990201 | + | 0.139647i | \(0.955403\pi\) | |||||||
\(212\) | 22.5170 | − | 18.8940i | 1.54648 | − | 1.29765i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −33.8289 | + | 12.3127i | −2.31250 | + | 0.841681i | ||||
\(215\) | −26.9444 | −1.83759 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.00000 | −0.135769 | ||||||||
\(218\) | 2.30177 | − | 0.837775i | 0.155895 | − | 0.0567413i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −18.3851 | + | 15.4269i | −1.23952 | + | 1.04008i | ||||
\(221\) | 1.27605 | + | 7.23683i | 0.0858363 | + | 0.486802i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −5.36231 | − | 4.49951i | −0.359087 | − | 0.301310i | 0.445340 | − | 0.895362i | \(-0.353083\pi\) |
−0.804427 | + | 0.594052i | \(0.797527\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 12.0000 | + | 20.7846i | 0.798228 | + | 1.38257i | ||||
\(227\) | 1.70140 | − | 9.64911i | 0.112926 | − | 0.640434i | −0.874831 | − | 0.484429i | \(-0.839027\pi\) |
0.987756 | − | 0.156005i | \(-0.0498615\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.939693 | + | 0.342020i | 0.0620966 | + | 0.0226013i | 0.372882 | − | 0.927879i | \(-0.378370\pi\) |
−0.310785 | + | 0.950480i | \(0.600592\pi\) | |||||||
\(230\) | −13.8106 | − | 5.02665i | −0.910644 | − | 0.331447i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.16756 | + | 23.6354i | −0.273613 | + | 1.55174i | ||||
\(233\) | 3.67423 | + | 6.36396i | 0.240707 | + | 0.416917i | 0.960916 | − | 0.276840i | \(-0.0892873\pi\) |
−0.720209 | + | 0.693757i | \(0.755954\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 12.0000 | − | 20.7846i | 0.782794 | − | 1.35584i | ||||
\(236\) | −7.50567 | − | 6.29801i | −0.488578 | − | 0.409965i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −6.25133 | − | 35.4531i | −0.405214 | − | 2.29808i | ||||
\(239\) | −1.87642 | + | 1.57450i | −0.121375 | + | 0.101846i | −0.701455 | − | 0.712714i | \(-0.747466\pi\) |
0.580080 | + | 0.814560i | \(0.303021\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 15.0351 | − | 5.47232i | 0.968495 | − | 0.352503i | 0.191138 | − | 0.981563i | \(-0.438782\pi\) |
0.777357 | + | 0.629060i | \(0.216560\pi\) | |||||||
\(242\) | −12.2474 | −0.787296 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 20.0000 | 1.28037 | ||||||||
\(245\) | −6.90530 | + | 2.51332i | −0.441164 | + | 0.160570i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.766044 | − | 0.642788i | 0.0487422 | − | 0.0408996i | ||||
\(248\) | −0.850699 | − | 4.82455i | −0.0540194 | − | 0.306359i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 18.3851 | + | 15.4269i | 1.16277 | + | 0.975683i | ||||
\(251\) | 3.67423 | − | 6.36396i | 0.231916 | − | 0.401690i | −0.726456 | − | 0.687213i | \(-0.758834\pi\) |
0.958372 | + | 0.285523i | \(0.0921673\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.00000 | + | 5.19615i | 0.188608 | + | 0.326679i | ||||
\(254\) | −8.08164 | + | 45.8333i | −0.507087 | + | 2.87583i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 30.0702 | + | 10.9446i | 1.87939 | + | 0.684040i | ||||
\(257\) | 16.1124 | + | 5.86442i | 1.00506 | + | 0.365813i | 0.791535 | − | 0.611124i | \(-0.209282\pi\) |
0.213528 | + | 0.976937i | \(0.431505\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.77837 | − | 15.7569i | 0.172640 | − | 0.979088i | ||||
\(260\) | −4.89898 | − | 8.48528i | −0.303822 | − | 0.526235i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −15.0000 | + | 25.9808i | −0.926703 | + | 1.60510i | ||||
\(263\) | −20.6406 | − | 17.3195i | −1.27275 | − | 1.06797i | −0.994200 | − | 0.107547i | \(-0.965701\pi\) |
−0.278554 | − | 0.960421i | \(-0.589855\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −3.12567 | − | 17.7265i | −0.192008 | − | 1.08893i | ||||
\(266\) | −3.75284 | + | 3.14900i | −0.230101 | + | 0.193078i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 26.3114 | − | 9.57656i | 1.60722 | − | 0.584982i | ||||
\(269\) | −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 | \(0.568196\pi\) | |||||||
\(272\) | 27.6212 | − | 10.0533i | 1.67478 | − | 0.609571i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 18.3851 | − | 15.4269i | 1.11068 | − | 0.931973i | ||||
\(275\) | 0.425349 | + | 2.41228i | 0.0256495 | + | 0.145466i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 8.42649 | + | 7.07066i | 0.506299 | + | 0.424835i | 0.859824 | − | 0.510590i | \(-0.170573\pi\) |
−0.353526 | + | 0.935425i | \(0.615017\pi\) | |||||||
\(278\) | 12.2474 | − | 21.2132i | 0.734553 | − | 1.27228i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 12.0000 | + | 20.7846i | 0.717137 | + | 1.24212i | ||||
\(281\) | −2.12675 | + | 12.0614i | −0.126871 | + | 0.719522i | 0.853308 | + | 0.521407i | \(0.174593\pi\) |
−0.980179 | + | 0.198114i | \(0.936518\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −15.9748 | − | 5.81434i | −0.949602 | − | 0.345627i | −0.179651 | − | 0.983730i | \(-0.557497\pi\) |
−0.769951 | + | 0.638104i | \(0.779719\pi\) | |||||||
\(284\) | −27.6212 | − | 10.0533i | −1.63902 | − | 0.596553i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −1.04189 | + | 5.90885i | −0.0616082 | + | 0.349397i | ||||
\(287\) | −4.89898 | − | 8.48528i | −0.289178 | − | 0.500870i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −18.5000 | + | 32.0429i | −1.08824 | + | 1.88488i | ||||
\(290\) | 22.5170 | + | 18.8940i | 1.32224 | + | 1.10950i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 7.64052 | + | 43.3315i | 0.447128 | + | 2.53579i | ||||
\(293\) | 3.75284 | − | 3.14900i | 0.219243 | − | 0.183967i | −0.526551 | − | 0.850144i | \(-0.676515\pi\) |
0.745794 | + | 0.666177i | \(0.232070\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −5.63816 | + | 2.05212i | −0.328266 | + | 0.119479i | ||||
\(296\) | 39.1918 | 2.27798 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 30.0000 | 1.73785 | ||||||||
\(299\) | −2.30177 | + | 0.837775i | −0.133115 | + | 0.0484498i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 16.8530 | − | 14.1413i | 0.971389 | − | 0.815093i | ||||
\(302\) | 2.12675 | + | 12.0614i | 0.122381 | + | 0.694055i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −3.06418 | − | 2.57115i | −0.175743 | − | 0.147466i | ||||
\(305\) | 6.12372 | − | 10.6066i | 0.350643 | − | 0.607332i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −1.00000 | − | 1.73205i | −0.0570730 | − | 0.0988534i | 0.836077 | − | 0.548612i | \(-0.184843\pi\) |
−0.893150 | + | 0.449758i | \(0.851510\pi\) | |||||||
\(308\) | 3.40280 | − | 19.2982i | 0.193892 | − | 1.09962i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −5.63816 | − | 2.05212i | −0.320226 | − | 0.116553i | ||||
\(311\) | 23.0177 | + | 8.37775i | 1.30521 | + | 0.475059i | 0.898691 | − | 0.438583i | \(-0.144519\pi\) |
0.406522 | + | 0.913641i | \(0.366742\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.77837 | + | 15.7569i | −0.157043 | + | 0.890634i | 0.799852 | + | 0.600198i | \(0.204911\pi\) |
−0.956894 | + | 0.290436i | \(0.906200\pi\) | |||||||
\(314\) | −20.8207 | − | 36.0624i | −1.17498 | − | 2.03512i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 14.0000 | − | 24.2487i | 0.787562 | − | 1.36410i | ||||
\(317\) | 7.50567 | + | 6.29801i | 0.421561 | + | 0.353731i | 0.828756 | − | 0.559610i | \(-0.189049\pi\) |
−0.407196 | + | 0.913341i | \(0.633493\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2.08378 | − | 11.8177i | −0.116669 | − | 0.661664i | ||||
\(320\) | 15.0113 | − | 12.5960i | 0.839160 | − | 0.704139i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 11.2763 | − | 4.10424i | 0.628404 | − | 0.228720i | ||||
\(323\) | 7.34847 | 0.408880 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.00000 | −0.0554700 | ||||||||
\(326\) | 23.0177 | − | 8.37775i | 1.27483 | − | 0.464001i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 18.3851 | − | 15.4269i | 1.01515 | − | 0.851808i | ||||
\(329\) | 3.40280 | + | 19.2982i | 0.187602 | + | 1.06394i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.36231 | − | 4.49951i | −0.294739 | − | 0.247316i | 0.483411 | − | 0.875393i | \(-0.339398\pi\) |
−0.778151 | + | 0.628078i | \(0.783842\pi\) | |||||||
\(332\) | 24.4949 | − | 42.4264i | 1.34433 | − | 2.32845i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −6.00000 | − | 10.3923i | −0.328305 | − | 0.568642i | ||||
\(335\) | 2.97745 | − | 16.8859i | 0.162675 | − | 0.922577i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 26.3114 | + | 9.57656i | 1.43327 | + | 0.521669i | 0.937868 | − | 0.346993i | \(-0.112797\pi\) |
0.495405 | + | 0.868662i | \(0.335020\pi\) | |||||||
\(338\) | 27.6212 | + | 10.0533i | 1.50240 | + | 0.546827i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 12.5027 | − | 70.9062i | 0.678052 | − | 3.84543i | ||||
\(341\) | 1.22474 | + | 2.12132i | 0.0663237 | + | 0.114876i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.0000 | − | 17.3205i | 0.539949 | − | 0.935220i | ||||
\(344\) | 41.2812 | + | 34.6390i | 2.22573 | + | 1.86761i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 4.16756 | + | 23.6354i | 0.224049 | + | 1.27065i | ||||
\(347\) | −18.7642 | + | 15.7450i | −1.00731 | + | 0.845237i | −0.987981 | − | 0.154576i | \(-0.950599\pi\) |
−0.0193331 | + | 0.999813i | \(0.506154\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −18.7939 | + | 6.84040i | −1.00601 | + | 0.366158i | −0.791900 | − | 0.610651i | \(-0.790908\pi\) |
−0.214112 | + | 0.976809i | \(0.568686\pi\) | |||||||
\(350\) | 4.89898 | 0.261861 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −2.30177 | + | 0.837775i | −0.122511 | + | 0.0445903i | −0.402548 | − | 0.915399i | \(-0.631875\pi\) |
0.280037 | + | 0.959989i | \(0.409653\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −13.7888 | + | 11.5702i | −0.731834 | + | 0.614081i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −27.5776 | − | 23.1404i | −1.45752 | − | 1.22301i | ||||
\(359\) | −14.6969 | + | 25.4558i | −0.775675 | + | 1.34351i | 0.158740 | + | 0.987320i | \(0.449257\pi\) |
−0.934414 | + | 0.356188i | \(0.884076\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.00000 | + | 15.5885i | 0.473684 | + | 0.820445i | ||||
\(362\) | 3.40280 | − | 19.2982i | 0.178847 | − | 1.01429i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 7.51754 | + | 2.73616i | 0.394026 | + | 0.143414i | ||||
\(365\) | 25.3194 | + | 9.21552i | 1.32528 | + | 0.482363i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.868241 | − | 4.92404i | 0.0453218 | − | 0.257033i | −0.953725 | − | 0.300680i | \(-0.902787\pi\) |
0.999047 | + | 0.0436469i | \(0.0138976\pi\) | |||||||
\(368\) | 4.89898 | + | 8.48528i | 0.255377 | + | 0.442326i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 24.0000 | − | 41.5692i | 1.24770 | − | 2.16108i | ||||
\(371\) | 11.2585 | + | 9.44701i | 0.584513 | + | 0.490464i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 6.07769 | + | 34.4683i | 0.314691 | + | 1.78470i | 0.573949 | + | 0.818891i | \(0.305411\pi\) |
−0.259258 | + | 0.965808i | \(0.583478\pi\) | |||||||
\(374\) | −33.7755 | + | 28.3410i | −1.74649 | + | 1.46548i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −45.1052 | + | 16.4170i | −2.32613 | + | 0.846640i | ||||
\(377\) | 4.89898 | 0.252310 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 8.00000 | 0.410932 | 0.205466 | − | 0.978664i | \(-0.434129\pi\) | ||||
0.205466 | + | 0.978664i | \(0.434129\pi\) | |||||||
\(380\) | −9.20707 | + | 3.35110i | −0.472313 | + | 0.171908i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 18.3851 | − | 15.4269i | 0.940662 | − | 0.789309i | ||||
\(383\) | 5.95489 | + | 33.7719i | 0.304281 | + | 1.72566i | 0.626871 | + | 0.779123i | \(0.284335\pi\) |
−0.322590 | + | 0.946539i | \(0.604554\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −9.19253 | − | 7.71345i | −0.468495 | − | 0.393114i | ||||
\(386\) | −13.4722 | + | 23.3345i | −0.685717 | + | 1.18770i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 14.0000 | + | 24.2487i | 0.710742 | + | 1.23104i | ||||
\(389\) | −4.67884 | + | 26.5350i | −0.237227 | + | 1.34538i | 0.600646 | + | 0.799515i | \(0.294910\pi\) |
−0.837873 | + | 0.545865i | \(0.816201\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −16.9145 | − | 6.15636i | −0.855401 | − | 0.311341i | ||||
\(392\) | 13.8106 | + | 5.02665i | 0.697541 | + | 0.253884i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 6.25133 | − | 35.4531i | 0.314938 | − | 1.78610i | ||||
\(395\) | −8.57321 | − | 14.8492i | −0.431365 | − | 0.747146i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0.500000 | − | 0.866025i | 0.0250943 | − | 0.0434646i | −0.853206 | − | 0.521575i | \(-0.825345\pi\) |
0.878300 | + | 0.478110i | \(0.158678\pi\) | |||||||
\(398\) | −1.87642 | − | 1.57450i | −0.0940563 | − | 0.0789226i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.694593 | + | 3.93923i | 0.0347296 | + | 0.196962i | ||||
\(401\) | 26.2699 | − | 22.0430i | 1.31185 | − | 1.10078i | 0.323889 | − | 0.946095i | \(-0.395009\pi\) |
0.987964 | − | 0.154681i | \(-0.0494350\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.939693 | + | 0.342020i | −0.0468094 | + | 0.0170372i | ||||
\(404\) | −19.5959 | −0.974933 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −24.0000 | −1.19110 | ||||||||
\(407\) | −18.4141 | + | 6.70220i | −0.912755 | + | 0.332216i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −21.4492 | + | 17.9981i | −1.06060 | + | 0.889946i | −0.994168 | − | 0.107845i | \(-0.965605\pi\) |
−0.0664291 | + | 0.997791i | \(0.521161\pi\) | |||||||
\(410\) | −5.10419 | − | 28.9473i | −0.252078 | − | 1.42961i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −21.4492 | − | 17.9981i | −1.05673 | − | 0.886700i | ||||
\(413\) | 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 | ||||||||
\(418\) | 5.63816 | + | 2.05212i | 0.275771 | + | 0.100373i | ||||
\(419\) | −32.2247 | − | 11.7288i | −1.57428 | − | 0.572992i | −0.600331 | − | 0.799752i | \(-0.704965\pi\) |
−0.973951 | + | 0.226760i | \(0.927187\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.347296 | − | 1.96962i | 0.0169262 | − | 0.0959932i | −0.975174 | − | 0.221438i | \(-0.928925\pi\) |
0.992101 | + | 0.125445i | \(0.0400359\pi\) | |||||||
\(422\) | 1.22474 | + | 2.12132i | 0.0596196 | + | 0.103264i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −18.0000 | + | 31.1769i | −0.874157 | + | 1.51408i | ||||
\(425\) | −5.62925 | − | 4.72350i | −0.273059 | − | 0.229124i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.73648 | + | 9.84808i | 0.0840342 | + | 0.476582i | ||||
\(428\) | 45.0340 | − | 37.7880i | 2.17680 | − | 1.82655i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 62.0197 | − | 22.5733i | 2.99086 | − | 1.08858i | ||||
\(431\) | −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 | \(0.366058\pi\) | |||||||
\(434\) | 4.60353 | − | 1.67555i | 0.220977 | − | 0.0804290i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −3.06418 | + | 2.57115i | −0.146748 | + | 0.123136i | ||||
\(437\) | 0.425349 | + | 2.41228i | 0.0203472 | + | 0.115395i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 10.7246 | + | 8.99903i | 0.511858 | + | 0.429500i | 0.861783 | − | 0.507278i | \(-0.169348\pi\) |
−0.349924 | + | 0.936778i | \(0.613793\pi\) | |||||||
\(440\) | 14.6969 | − | 25.4558i | 0.700649 | − | 1.21356i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −9.00000 | − | 15.5885i | −0.428086 | − | 0.741467i | ||||
\(443\) | −2.12675 | + | 12.0614i | −0.101045 | + | 0.573054i | 0.891682 | + | 0.452663i | \(0.149526\pi\) |
−0.992727 | + | 0.120391i | \(0.961585\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 16.1124 | + | 5.86442i | 0.762943 | + | 0.277689i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2.77837 | + | 15.7569i | −0.131266 | + | 0.744445i | ||||
\(449\) | −11.0227 | − | 19.0919i | −0.520194 | − | 0.901002i | −0.999724 | − | 0.0234766i | \(-0.992526\pi\) |
0.479531 | − | 0.877525i | \(-0.340807\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −6.00000 | + | 10.3923i | −0.282529 | + | 0.489355i | ||||
\(452\) | −30.0227 | − | 25.1920i | −1.41215 | − | 1.18493i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 4.16756 | + | 23.6354i | 0.195593 | + | 1.10926i | ||||
\(455\) | 3.75284 | − | 3.14900i | 0.175936 | − | 0.147628i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −27.2511 | + | 9.91858i | −1.27475 | + | 0.463972i | −0.888693 | − | 0.458502i | \(-0.848386\pi\) |
−0.386059 | + | 0.922474i | \(0.626164\pi\) | |||||||
\(458\) | −2.44949 | −0.114457 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 24.0000 | 1.11901 | ||||||||
\(461\) | 25.3194 | − | 9.21552i | 1.17924 | − | 0.429210i | 0.323309 | − | 0.946293i | \(-0.395205\pi\) |
0.855935 | + | 0.517084i | \(0.172982\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −14.5548 | + | 12.2130i | −0.676421 | + | 0.567585i | −0.914958 | − | 0.403549i | \(-0.867777\pi\) |
0.238537 | + | 0.971133i | \(0.423332\pi\) | |||||||
\(464\) | −3.40280 | − | 19.2982i | −0.157971 | − | 0.895897i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −13.7888 | − | 11.5702i | −0.638754 | − | 0.535978i | ||||
\(467\) | −7.34847 | + | 12.7279i | −0.340047 | + | 0.588978i | −0.984441 | − | 0.175715i | \(-0.943776\pi\) |
0.644394 | + | 0.764693i | \(0.277110\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 7.00000 | + | 12.1244i | 0.323230 | + | 0.559851i | ||||
\(470\) | −10.2084 | + | 57.8946i | −0.470878 | + | 2.67048i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 11.2763 | + | 4.10424i | 0.519034 | + | 0.188913i | ||||
\(473\) | −25.3194 | − | 9.21552i | −1.16419 | − | 0.423730i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.173648 | + | 0.984808i | −0.00796752 | + | 0.0451861i | ||||
\(476\) | 29.3939 | + | 50.9117i | 1.34727 | + | 2.33353i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 3.00000 | − | 5.19615i | 0.137217 | − | 0.237666i | ||||
\(479\) | −20.6406 | − | 17.3195i | −0.943093 | − | 0.791349i | 0.0350279 | − | 0.999386i | \(-0.488848\pi\) |
−0.978121 | + | 0.208037i | \(0.933292\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.38919 | − | 7.87846i | −0.0633414 | − | 0.359227i | ||||
\(482\) | −30.0227 | + | 25.1920i | −1.36750 | + | 1.14747i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 18.7939 | − | 6.84040i | 0.854266 | − | 0.310927i | ||||
\(485\) | 17.1464 | 0.778579 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 35.0000 | 1.58600 | 0.793001 | − | 0.609221i | \(-0.208518\pi\) | ||||
0.793001 | + | 0.609221i | \(0.208518\pi\) | |||||||
\(488\) | −23.0177 | + | 8.37775i | −1.04196 | + | 0.379243i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 13.7888 | − | 11.5702i | 0.622914 | − | 0.522687i | ||||
\(491\) | −6.80559 | − | 38.5964i | −0.307132 | − | 1.74183i | −0.613296 | − | 0.789853i | \(-0.710157\pi\) |
0.306164 | − | 0.951979i | \(-0.400954\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 27.5776 | + | 23.1404i | 1.24203 | + | 1.04219i | ||||
\(494\) | −1.22474 | + | 2.12132i | −0.0551039 | + | 0.0954427i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.00000 | + | 3.46410i | 0.0898027 | + | 0.155543i | ||||
\(497\) | 2.55210 | − | 14.4737i | 0.114477 | − | 0.649232i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −1.87939 | − | 0.684040i | −0.0841328 | − | 0.0306218i | 0.299611 | − | 0.954061i | \(-0.403143\pi\) |
−0.383744 | + | 0.923440i | \(0.625365\pi\) | |||||||
\(500\) | −36.8283 | − | 13.4044i | −1.64701 | − | 0.599463i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −3.12567 | + | 17.7265i | −0.139505 | + | 0.791174i | ||||
\(503\) | 7.34847 | + | 12.7279i | 0.327652 | + | 0.567510i | 0.982045 | − | 0.188644i | \(-0.0604093\pi\) |
−0.654393 | + | 0.756154i | \(0.727076\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −6.00000 | + | 10.3923i | −0.266996 | + | 0.462451i | ||||
\(506\) | −11.2585 | − | 9.44701i | −0.500502 | − | 0.419971i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −13.1973 | − | 74.8454i | −0.585534 | − | 3.32073i | ||||
\(509\) | −7.50567 | + | 6.29801i | −0.332683 | + | 0.279154i | −0.793792 | − | 0.608189i | \(-0.791896\pi\) |
0.461109 | + | 0.887344i | \(0.347452\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −20.6732 | + | 7.52444i | −0.914530 | + | 0.332862i | ||||
\(512\) | −39.1918 | −1.73205 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −42.0000 | −1.85254 | ||||||||
\(515\) | −16.1124 | + | 5.86442i | −0.709996 | + | 0.258417i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 18.3851 | − | 15.4269i | 0.808574 | − | 0.678474i | ||||
\(518\) | 6.80559 | + | 38.5964i | 0.299020 | + | 1.69583i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 9.19253 | + | 7.71345i | 0.403119 | + | 0.338257i | ||||
\(521\) | −11.0227 | + | 19.0919i | −0.482913 | + | 0.836431i | −0.999808 | − | 0.0196188i | \(-0.993755\pi\) |
0.516894 | + | 0.856049i | \(0.327088\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 12.5000 | + | 21.6506i | 0.546587 | + | 0.946716i | 0.998505 | + | 0.0546569i | \(0.0174065\pi\) |
−0.451918 | + | 0.892059i | \(0.649260\pi\) | |||||||
\(524\) | 8.50699 | − | 48.2455i | 0.371630 | − | 2.10762i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 62.0197 | + | 22.5733i | 2.70419 | + | 0.984244i | ||||
\(527\) | −6.90530 | − | 2.51332i | −0.300800 | − | 0.109482i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −2.95202 | + | 16.7417i | −0.128349 | + | 0.727901i | ||||
\(530\) | 22.0454 | + | 38.1838i | 0.957591 | + | 1.65860i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 4.00000 | − | 6.92820i | 0.173422 | − | 0.300376i | ||||
\(533\) | −3.75284 | − | 3.14900i | −0.162553 | − | 0.136398i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.25133 | − | 35.4531i | −0.270269 | − | 1.53277i | ||||
\(536\) | −26.2699 | + | 22.0430i | −1.13468 | + | 0.952114i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 50.7434 | − | 18.4691i | 2.18770 | − | 0.796259i | ||||
\(539\) | −7.34847 | −0.316521 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −28.0000 | −1.20381 | −0.601907 | − | 0.798566i | \(-0.705592\pi\) | ||||
−0.601907 | + | 0.798566i | \(0.705592\pi\) | |||||||
\(542\) | 16.1124 | − | 5.86442i | 0.692086 | − | 0.251899i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0.425349 | + | 2.41228i | 0.0182200 | + | 0.103331i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −9.95858 | − | 8.35624i | −0.425798 | − | 0.357287i | 0.404565 | − | 0.914509i | \(-0.367423\pi\) |
−0.830364 | + | 0.557222i | \(0.811867\pi\) | |||||||
\(548\) | −19.5959 | + | 33.9411i | −0.837096 | + | 1.44989i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −3.00000 | − | 5.19615i | −0.127920 | − | 0.221565i | ||||
\(551\) | 0.850699 | − | 4.82455i | 0.0362410 | − | 0.205533i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 13.1557 | + | 4.78828i | 0.559437 | + | 0.203618i | ||||
\(554\) | −25.3194 | − | 9.21552i | −1.07572 | − | 0.391530i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −6.94593 | + | 39.3923i | −0.294573 | + | 1.67061i | ||||
\(557\) | −3.67423 | − | 6.36396i | −0.155682 | − | 0.269650i | 0.777625 | − | 0.628728i | \(-0.216424\pi\) |
−0.933307 | + | 0.359079i | \(0.883091\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 5.50000 | − | 9.52628i | 0.232625 | − | 0.402919i | ||||
\(560\) | −15.0113 | − | 12.5960i | −0.634345 | − | 0.532279i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −5.20945 | − | 29.5442i | −0.219747 | − | 1.24625i | ||||
\(563\) | 9.38209 | − | 7.87251i | 0.395408 | − | 0.331787i | −0.423308 | − | 0.905986i | \(-0.639131\pi\) |
0.818715 | + | 0.574199i | \(0.194687\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −22.5526 | + | 8.20848i | −0.948796 | + | 0.345333i | ||||
\(566\) | 41.6413 | 1.75032 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 36.0000 | 1.51053 | ||||||||
\(569\) | 11.5088 | − | 4.18887i | 0.482476 | − | 0.175607i | −0.0893199 | − | 0.996003i | \(-0.528469\pi\) |
0.571795 | + | 0.820396i | \(0.306247\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.66044 | + | 6.42788i | −0.320580 | + | 0.268998i | −0.788848 | − | 0.614588i | \(-0.789322\pi\) |
0.468269 | + | 0.883586i | \(0.344878\pi\) | |||||||
\(572\) | −1.70140 | − | 9.64911i | −0.0711390 | − | 0.403449i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 18.3851 | + | 15.4269i | 0.767378 | + | 0.643906i | ||||
\(575\) | 1.22474 | − | 2.12132i | 0.0510754 | − | 0.0884652i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 12.5000 | + | 21.6506i | 0.520382 | + | 0.901328i | 0.999719 | + | 0.0236970i | \(0.00754370\pi\) |
−0.479337 | + | 0.877631i | \(0.659123\pi\) | |||||||
\(578\) | 15.7379 | − | 89.2542i | 0.654612 | − | 3.71249i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −45.1052 | − | 16.4170i | −1.87289 | − | 0.681677i | ||||
\(581\) | 23.0177 | + | 8.37775i | 0.954934 | + | 0.347568i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 3.12567 | − | 17.7265i | 0.129452 | − | 0.734158i | ||||
\(584\) | −26.9444 | − | 46.6690i | −1.11497 | − | 1.93118i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −6.00000 | + | 10.3923i | −0.247858 | + | 0.429302i | ||||
\(587\) | 1.87642 | + | 1.57450i | 0.0774481 | + | 0.0649866i | 0.680690 | − | 0.732572i | \(-0.261680\pi\) |
−0.603242 | + | 0.797558i | \(0.706125\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.173648 | + | 0.984808i | 0.00715505 | + | 0.0405783i | ||||
\(590\) | 11.2585 | − | 9.44701i | 0.463505 | − | 0.388927i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −30.0702 | + | 10.9446i | −1.23588 | + | 0.449822i | ||||
\(593\) | 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 | ||||||||
\(596\) | −46.0353 | + | 16.7555i | −1.88568 | + | 0.686332i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 4.59627 | − | 3.85673i | 0.187955 | − | 0.157713i | ||||
\(599\) | −6.80559 | − | 38.5964i | −0.278069 | − | 1.57701i | −0.729042 | − | 0.684469i | \(-0.760034\pi\) |
0.450973 | − | 0.892538i | \(-0.351077\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −5.36231 | − | 4.49951i | −0.218733 | − | 0.183539i | 0.526836 | − | 0.849967i | \(-0.323378\pi\) |
−0.745570 | + | 0.666428i | \(0.767822\pi\) | |||||||
\(602\) | −26.9444 | + | 46.6690i | −1.09817 | + | 1.90209i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −10.0000 | − | 17.3205i | −0.406894 | − | 0.704761i | ||||
\(605\) | 2.12675 | − | 12.0614i | 0.0864646 | − | 0.490365i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −41.3465 | − | 15.0489i | −1.67820 | − | 0.610815i | −0.685140 | − | 0.728411i | \(-0.740259\pi\) |
−0.993062 | + | 0.117596i | \(0.962481\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −5.20945 | + | 29.5442i | −0.210924 | + | 1.19621i | ||||
\(611\) | 4.89898 | + | 8.48528i | 0.198191 | + | 0.343278i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −5.50000 | + | 9.52628i | −0.222143 | + | 0.384763i | −0.955458 | − | 0.295126i | \(-0.904638\pi\) |
0.733316 | + | 0.679888i | \(0.237972\pi\) | |||||||
\(614\) | 3.75284 | + | 3.14900i | 0.151452 | + | 0.127083i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 4.16756 | + | 23.6354i | 0.167916 | + | 0.952297i | ||||
\(617\) | −18.7642 | + | 15.7450i | −0.755417 | + | 0.633870i | −0.936930 | − | 0.349518i | \(-0.886345\pi\) |
0.181512 | + | 0.983389i | \(0.441901\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 46.0449 | − | 16.7590i | 1.85070 | − | 0.673601i | 0.865825 | − | 0.500347i | \(-0.166794\pi\) |
0.984877 | − | 0.173254i | \(-0.0554281\pi\) | |||||||
\(620\) | 9.79796 | 0.393496 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −60.0000 | −2.40578 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −22.2153 | + | 18.6408i | −0.888612 | + | 0.745634i | ||||
\(626\) | −6.80559 | − | 38.5964i | −0.272006 | − | 1.54262i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 52.0910 | + | 43.7096i | 2.07866 | + | 1.74420i | ||||
\(629\) | 29.3939 | − | 50.9117i | 1.17201 | − | 2.02998i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −22.0000 | − | 38.1051i | −0.875806 | − | 1.51694i | −0.855901 | − | 0.517139i | \(-0.826997\pi\) |
−0.0199047 | − | 0.999802i | \(-0.506336\pi\) | |||||||
\(632\) | −5.95489 | + | 33.7719i | −0.236873 | + | 1.34337i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −22.5526 | − | 8.20848i | −0.895679 | − | 0.326001i | ||||
\(635\) | −43.7336 | − | 15.9177i | −1.73551 | − | 0.631676i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.520945 | − | 2.95442i | 0.0206406 | − | 0.117059i | ||||
\(638\) | 14.6969 | + | 25.4558i | 0.581857 | + | 1.00781i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −24.0000 | + | 41.5692i | −0.948683 | + | 1.64317i | ||||
\(641\) | 13.1349 | + | 11.0215i | 0.518798 | + | 0.435324i | 0.864213 | − | 0.503127i | \(-0.167817\pi\) |
−0.345414 | + | 0.938450i | \(0.612262\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 6.59863 | + | 37.4227i | 0.260225 | + | 1.47581i | 0.782297 | + | 0.622906i | \(0.214048\pi\) |
−0.522072 | + | 0.852901i | \(0.674841\pi\) | |||||||
\(644\) | −15.0113 | + | 12.5960i | −0.591530 | + | 0.496352i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −16.9145 | + | 6.15636i | −0.665491 | + | 0.242219i | ||||
\(647\) | 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 | ||||||||
\(650\) | 2.30177 | − | 0.837775i | 0.0902827 | − | 0.0328602i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −30.6418 | + | 25.7115i | −1.20002 | + | 1.00694i | ||||
\(653\) | −1.70140 | − | 9.64911i | −0.0665808 | − | 0.377599i | −0.999831 | − | 0.0183721i | \(-0.994152\pi\) |
0.933250 | − | 0.359227i | \(-0.116959\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −22.9813 | − | 19.2836i | −0.897955 | − | 0.753474i | ||||
\(656\) | −9.79796 | + | 16.9706i | −0.382546 | + | 0.662589i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −24.0000 | − | 41.5692i | −0.935617 | − | 1.62054i | ||||
\(659\) | −3.40280 | + | 19.2982i | −0.132554 | + | 0.751752i | 0.843978 | + | 0.536378i | \(0.180208\pi\) |
−0.976532 | + | 0.215373i | \(0.930903\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −10.3366 | − | 3.76222i | −0.402048 | − | 0.146333i | 0.133078 | − | 0.991106i | \(-0.457514\pi\) |
−0.535126 | + | 0.844772i | \(0.679736\pi\) | |||||||
\(662\) | 16.1124 | + | 5.86442i | 0.626225 | + | 0.227927i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −10.4189 | + | 59.0885i | −0.404331 | + | 2.29308i | ||||
\(665\) | −2.44949 | − | 4.24264i | −0.0949871 | − | 0.164523i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −6.00000 | + | 10.3923i | −0.232321 | + | 0.402392i | ||||
\(668\) | 15.0113 | + | 12.5960i | 0.580806 | + | 0.487354i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 7.29322 | + | 41.3619i | 0.281762 | + | 1.59795i | ||||
\(671\) | 9.38209 | − | 7.87251i | 0.362192 | − | 0.303915i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −27.2511 | + | 9.91858i | −1.05045 | + | 0.382333i | −0.808833 | − | 0.588038i | \(-0.799901\pi\) |
−0.241619 | + | 0.970371i | \(0.577678\pi\) | |||||||
\(674\) | −68.5857 | −2.64182 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −48.0000 | −1.84615 | ||||||||
\(677\) | −43.7336 | + | 15.9177i | −1.68082 | + | 0.611768i | −0.993422 | − | 0.114515i | \(-0.963469\pi\) |
−0.687397 | + | 0.726282i | \(0.741247\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −10.7246 | + | 8.99903i | −0.411573 | + | 0.345351i | ||||
\(680\) | 15.3126 | + | 86.8420i | 0.587211 | + | 3.33024i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −4.59627 | − | 3.85673i | −0.176000 | − | 0.147682i | ||||
\(683\) | 11.0227 | − | 19.0919i | 0.421772 | − | 0.730531i | −0.574341 | − | 0.818616i | \(-0.694742\pi\) |
0.996113 | + | 0.0880857i | \(0.0280749\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 12.0000 | + | 20.7846i | 0.458496 | + | 0.794139i | ||||
\(686\) | −8.50699 | + | 48.2455i | −0.324798 | + | 1.84202i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −41.3465 | − | 15.0489i | −1.57632 | − | 0.573733i | ||||
\(689\) | 6.90530 | + | 2.51332i | 0.263071 | + | 0.0957500i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 8.16146 | − | 46.2860i | 0.310477 | − | 1.76080i | −0.286057 | − | 0.958213i | \(-0.592345\pi\) |
0.596533 | − | 0.802588i | \(-0.296544\pi\) | |||||||
\(692\) | −19.5959 | − | 33.9411i | −0.744925 | − | 1.29025i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 30.0000 | − | 51.9615i | 1.13878 | − | 1.97243i | ||||
\(695\) | 18.7642 | + | 15.7450i | 0.711766 | + | 0.597243i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −6.25133 | − | 35.4531i | −0.236786 | − | 1.34288i | ||||
\(698\) | 37.5284 | − | 31.4900i | 1.42047 | − | 1.19192i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −7.51754 | + | 2.73616i | −0.284136 | + | 0.103417i | ||||
\(701\) | −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 | ||||||||
\(704\) | 18.4141 | − | 6.70220i | 0.694009 | − | 0.252599i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 4.59627 | − | 3.85673i | 0.172983 | − | 0.145150i | ||||
\(707\) | −1.70140 | − | 9.64911i | −0.0639876 | − | 0.362892i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −5.36231 | − | 4.49951i | −0.201386 | − | 0.168983i | 0.536518 | − | 0.843889i | \(-0.319740\pi\) |
−0.737903 | + | 0.674906i | \(0.764184\pi\) | |||||||
\(710\) | 22.0454 | − | 38.1838i | 0.827349 | − | 1.43301i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0.425349 | − | 2.41228i | 0.0159295 | − | 0.0903405i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.63816 | − | 2.05212i | −0.210855 | − | 0.0767450i | ||||
\(716\) | 55.2424 | + | 20.1066i | 2.06451 | + | 0.751419i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 12.5027 | − | 70.9062i | 0.466595 | − | 2.64619i | ||||
\(719\) | 18.3712 | + | 31.8198i | 0.685129 | + | 1.18668i | 0.973396 | + | 0.229128i | \(0.0735876\pi\) |
−0.288267 | + | 0.957550i | \(0.593079\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 7.00000 | − | 12.1244i | 0.260694 | − | 0.451535i | ||||
\(722\) | −33.7755 | − | 28.3410i | −1.25699 | − | 1.05474i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 5.55674 | + | 31.5138i | 0.206515 | + | 1.17120i | ||||
\(725\) | −3.75284 | + | 3.14900i | −0.139377 | + | 0.116951i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −13.1557 | + | 4.78828i | −0.487918 | + | 0.177588i | −0.574252 | − | 0.818679i | \(-0.694707\pi\) |
0.0863341 | + | 0.996266i | \(0.472485\pi\) | |||||||
\(728\) | −9.79796 | −0.363137 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −66.0000 | −2.44277 | ||||||||
\(731\) | 75.9583 | − | 27.6466i | 2.80942 | − | 1.02255i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 13.0228 | − | 10.9274i | 0.481006 | − | 0.403612i | −0.369784 | − | 0.929118i | \(-0.620568\pi\) |
0.850790 | + | 0.525506i | \(0.176124\pi\) | |||||||
\(734\) | 2.12675 | + | 12.0614i | 0.0784997 | + | 0.445194i | ||||
\(735\) | 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 | 0.875075 | − | 0.483987i | \(-0.160812\pi\) |
−0.856683 | + | 0.515844i | \(0.827478\pi\) | |||||||
\(740\) | −13.6112 | + | 77.1928i | −0.500357 | + | 2.83767i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −33.8289 | − | 12.3127i | −1.24190 | − | 0.452014i | ||||
\(743\) | 29.9230 | + | 10.8911i | 1.09777 | + | 0.399555i | 0.826493 | − | 0.562947i | \(-0.190333\pi\) |
0.271275 | + | 0.962502i | \(0.412555\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −5.20945 | + | 29.5442i | −0.190859 | + | 1.08242i | ||||
\(746\) | −42.8661 | − | 74.2462i | −1.56944 | − | 2.71835i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 36.0000 | − | 62.3538i | 1.31629 | − | 2.27988i | ||||
\(749\) | 22.5170 | + | 18.8940i | 0.822754 | + | 0.690372i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 4.51485 | + | 25.6050i | 0.164749 | + | 0.934340i | 0.949323 | + | 0.314304i | \(0.101771\pi\) |
−0.784573 | + | 0.620036i | \(0.787118\pi\) | |||||||
\(752\) | 30.0227 | − | 25.1920i | 1.09481 | − | 0.918659i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −11.2763 | + | 4.10424i | −0.410659 | + | 0.149468i | ||||
\(755\) | −12.2474 | −0.445730 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −7.00000 | −0.254419 | −0.127210 | − | 0.991876i | \(-0.540602\pi\) | ||||
−0.127210 | + | 0.991876i | \(0.540602\pi\) | |||||||
\(758\) | −18.4141 | + | 6.70220i | −0.668832 | + | 0.243435i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 9.19253 | − | 7.71345i | 0.333448 | − | 0.279796i | ||||
\(761\) | −0.425349 | − | 2.41228i | −0.0154189 | − | 0.0874450i | 0.976127 | − | 0.217199i | \(-0.0696922\pi\) |
−0.991546 | + | 0.129754i | \(0.958581\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.53209 | − | 1.28558i | −0.0554653 | − | 0.0465409i | ||||
\(764\) | −19.5959 | + | 33.9411i | −0.708955 | + | 1.22795i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −42.0000 | − | 72.7461i | −1.51752 | − | 2.62842i | ||||
\(767\) | 0.425349 | − | 2.41228i | 0.0153585 | − | 0.0871023i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 34.7686 | + | 12.6547i | 1.25379 | + | 0.456342i | 0.881680 | − | 0.471847i | \(-0.156413\pi\) |
0.372109 | + | 0.928189i | \(0.378635\pi\) | |||||||
\(770\) | 27.6212 | + | 10.0533i | 0.995399 | + | 0.362296i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 7.64052 | − | 43.3315i | 0.274988 | − | 1.55954i | ||||
\(773\) | 22.0454 | + | 38.1838i | 0.792918 | + | 1.37337i | 0.924153 | + | 0.382023i | \(0.124773\pi\) |
−0.131235 | + | 0.991351i | \(0.541894\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.500000 | − | 0.866025i | 0.0179605 | − | 0.0311086i | ||||
\(776\) | −26.2699 | − | 22.0430i | −0.943033 | − | 0.791298i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −11.4608 | − | 64.9973i | −0.410889 | − | 2.33027i | ||||
\(779\) | −3.75284 | + | 3.14900i | −0.134459 | + | 0.112825i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −16.9145 | + | 6.15636i | −0.605247 | + | 0.220292i | ||||
\(782\) | 44.0908 | 1.57668 |