Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [775,2,Mod(501,775)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(775, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("775.501");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 775 = 5^{2} \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 775.e (of order \(3\), degree \(2\), 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: | \(6.18840615665\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} + 2x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 31) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 676.1 | ||
Root | \(0.707107 - 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 775.676 |
Dual form | 775.2.e.e.501.1 |
$q$-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 \(\left(\mathbb{Z}/775\mathbb{Z}\right)^\times\).
\(n\) | \(251\) | \(652\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.414214 | −0.292893 | −0.146447 | − | 0.989219i | \(-0.546784\pi\) | ||||
−0.146447 | + | 0.989219i | \(0.546784\pi\) | |||||||
\(3\) | 0.207107 | + | 0.358719i | 0.119573 | + | 0.207107i | 0.919599 | − | 0.392859i | \(-0.128514\pi\) |
−0.800025 | + | 0.599966i | \(0.795181\pi\) | |||||||
\(4\) | −1.82843 | −0.914214 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.0857864 | − | 0.148586i | −0.0350222 | − | 0.0606602i | ||||
\(7\) | −0.207107 | − | 0.358719i | −0.0782790 | − | 0.135583i | 0.824228 | − | 0.566257i | \(-0.191609\pi\) |
−0.902507 | + | 0.430674i | \(0.858276\pi\) | |||||||
\(8\) | 1.58579 | 0.560660 | ||||||||
\(9\) | 1.41421 | − | 2.44949i | 0.471405 | − | 0.816497i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.62132 | + | 2.80821i | −0.488846 | + | 0.846707i | −0.999918 | − | 0.0128314i | \(-0.995916\pi\) |
0.511071 | + | 0.859538i | \(0.329249\pi\) | |||||||
\(12\) | −0.378680 | − | 0.655892i | −0.109315 | − | 0.189340i | ||||
\(13\) | −1.91421 | + | 3.31552i | −0.530907 | + | 0.919558i | 0.468442 | + | 0.883494i | \(0.344815\pi\) |
−0.999349 | + | 0.0360643i | \(0.988518\pi\) | |||||||
\(14\) | 0.0857864 | + | 0.148586i | 0.0229274 | + | 0.0397114i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.00000 | 0.750000 | ||||||||
\(17\) | −2.91421 | − | 5.04757i | −0.706801 | − | 1.22421i | −0.966038 | − | 0.258401i | \(-0.916804\pi\) |
0.259237 | − | 0.965814i | \(-0.416529\pi\) | |||||||
\(18\) | −0.585786 | + | 1.01461i | −0.138071 | + | 0.239146i | ||||
\(19\) | −2.20711 | − | 3.82282i | −0.506345 | − | 0.877015i | −0.999973 | − | 0.00734216i | \(-0.997663\pi\) |
0.493628 | − | 0.869673i | \(-0.335670\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.0857864 | − | 0.148586i | 0.0187201 | − | 0.0324242i | ||||
\(22\) | 0.671573 | − | 1.16320i | 0.143180 | − | 0.247995i | ||||
\(23\) | 4.00000 | 0.834058 | 0.417029 | − | 0.908893i | \(-0.363071\pi\) | ||||
0.417029 | + | 0.908893i | \(0.363071\pi\) | |||||||
\(24\) | 0.328427 | + | 0.568852i | 0.0670399 | + | 0.116117i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0.792893 | − | 1.37333i | 0.155499 | − | 0.269332i | ||||
\(27\) | 2.41421 | 0.464616 | ||||||||
\(28\) | 0.378680 | + | 0.655892i | 0.0715637 | + | 0.123952i | ||||
\(29\) | −6.82843 | −1.26801 | −0.634004 | − | 0.773330i | \(-0.718590\pi\) | ||||
−0.634004 | + | 0.773330i | \(0.718590\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.00000 | − | 2.44949i | −0.898027 | − | 0.439941i | ||||
\(32\) | −4.41421 | −0.780330 | ||||||||
\(33\) | −1.34315 | −0.233812 | ||||||||
\(34\) | 1.20711 | + | 2.09077i | 0.207017 | + | 0.358564i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −2.58579 | + | 4.47871i | −0.430964 | + | 0.746452i | ||||
\(37\) | 0.500000 | + | 0.866025i | 0.0821995 | + | 0.142374i | 0.904194 | − | 0.427121i | \(-0.140472\pi\) |
−0.821995 | + | 0.569495i | \(0.807139\pi\) | |||||||
\(38\) | 0.914214 | + | 1.58346i | 0.148305 | + | 0.256872i | ||||
\(39\) | −1.58579 | −0.253929 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.74264 | − | 6.48244i | 0.584502 | − | 1.01239i | −0.410435 | − | 0.911890i | \(-0.634623\pi\) |
0.994937 | − | 0.100498i | \(-0.0320435\pi\) | |||||||
\(42\) | −0.0355339 | + | 0.0615465i | −0.00548300 | + | 0.00949684i | ||||
\(43\) | −5.44975 | − | 9.43924i | −0.831079 | − | 1.43947i | −0.897184 | − | 0.441658i | \(-0.854391\pi\) |
0.0661049 | − | 0.997813i | \(-0.478943\pi\) | |||||||
\(44\) | 2.96447 | − | 5.13461i | 0.446910 | − | 0.774071i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.65685 | −0.244290 | ||||||||
\(47\) | −9.65685 | −1.40860 | −0.704298 | − | 0.709904i | \(-0.748738\pi\) | ||||
−0.704298 | + | 0.709904i | \(0.748738\pi\) | |||||||
\(48\) | 0.621320 | + | 1.07616i | 0.0896799 | + | 0.155330i | ||||
\(49\) | 3.41421 | − | 5.91359i | 0.487745 | − | 0.844799i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.20711 | − | 2.09077i | 0.169029 | − | 0.292766i | ||||
\(52\) | 3.50000 | − | 6.06218i | 0.485363 | − | 0.840673i | ||||
\(53\) | 2.91421 | − | 5.04757i | 0.400298 | − | 0.693337i | −0.593464 | − | 0.804861i | \(-0.702240\pi\) |
0.993762 | + | 0.111524i | \(0.0355733\pi\) | |||||||
\(54\) | −1.00000 | −0.136083 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −0.328427 | − | 0.568852i | −0.0438879 | − | 0.0760161i | ||||
\(57\) | 0.914214 | − | 1.58346i | 0.121091 | − | 0.209735i | ||||
\(58\) | 2.82843 | 0.371391 | ||||||||
\(59\) | −2.03553 | − | 3.52565i | −0.265004 | − | 0.459000i | 0.702561 | − | 0.711624i | \(-0.252040\pi\) |
−0.967565 | + | 0.252624i | \(0.918707\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.82843 | −0.362143 | −0.181071 | − | 0.983470i | \(-0.557957\pi\) | ||||
−0.181071 | + | 0.983470i | \(0.557957\pi\) | |||||||
\(62\) | 2.07107 | + | 1.01461i | 0.263026 | + | 0.128856i | ||||
\(63\) | −1.17157 | −0.147604 | ||||||||
\(64\) | −4.17157 | −0.521447 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.556349 | 0.0684819 | ||||||||
\(67\) | 1.62132 | − | 2.80821i | 0.198076 | − | 0.343077i | −0.749829 | − | 0.661632i | \(-0.769864\pi\) |
0.947904 | + | 0.318555i | \(0.103197\pi\) | |||||||
\(68\) | 5.32843 | + | 9.22911i | 0.646167 | + | 1.11919i | ||||
\(69\) | 0.828427 | + | 1.43488i | 0.0997309 | + | 0.172739i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.0355339 | + | 0.0615465i | −0.00421710 | + | 0.00730423i | −0.868126 | − | 0.496343i | \(-0.834676\pi\) |
0.863909 | + | 0.503648i | \(0.168009\pi\) | |||||||
\(72\) | 2.24264 | − | 3.88437i | 0.264298 | − | 0.457777i | ||||
\(73\) | −0.914214 | + | 1.58346i | −0.107001 | + | 0.185330i | −0.914554 | − | 0.404464i | \(-0.867458\pi\) |
0.807553 | + | 0.589795i | \(0.200791\pi\) | |||||||
\(74\) | −0.207107 | − | 0.358719i | −0.0240757 | − | 0.0417003i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.03553 | + | 6.98975i | 0.462907 | + | 0.801779i | ||||
\(77\) | 1.34315 | 0.153066 | ||||||||
\(78\) | 0.656854 | 0.0743741 | ||||||||
\(79\) | 3.37868 | + | 5.85204i | 0.380131 | + | 0.658406i | 0.991081 | − | 0.133263i | \(-0.0425455\pi\) |
−0.610950 | + | 0.791670i | \(0.709212\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −3.74264 | − | 6.48244i | −0.415849 | − | 0.720272i | ||||
\(82\) | −1.55025 | + | 2.68512i | −0.171197 | + | 0.296521i | ||||
\(83\) | −5.03553 | + | 8.72180i | −0.552722 | + | 0.957342i | 0.445355 | + | 0.895354i | \(0.353077\pi\) |
−0.998077 | + | 0.0619880i | \(0.980256\pi\) | |||||||
\(84\) | −0.156854 | + | 0.271680i | −0.0171142 | + | 0.0296427i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 2.25736 | + | 3.90986i | 0.243417 | + | 0.421611i | ||||
\(87\) | −1.41421 | − | 2.44949i | −0.151620 | − | 0.262613i | ||||
\(88\) | −2.57107 | + | 4.45322i | −0.274077 | + | 0.474715i | ||||
\(89\) | 4.48528 | 0.475439 | 0.237719 | − | 0.971334i | \(-0.423600\pi\) | ||||
0.237719 | + | 0.971334i | \(0.423600\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.58579 | 0.166236 | ||||||||
\(92\) | −7.31371 | −0.762507 | ||||||||
\(93\) | −0.156854 | − | 2.30090i | −0.0162650 | − | 0.238593i | ||||
\(94\) | 4.00000 | 0.412568 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −0.914214 | − | 1.58346i | −0.0933065 | − | 0.161612i | ||||
\(97\) | −5.17157 | −0.525094 | −0.262547 | − | 0.964919i | \(-0.584562\pi\) | ||||
−0.262547 | + | 0.964919i | \(0.584562\pi\) | |||||||
\(98\) | −1.41421 | + | 2.44949i | −0.142857 | + | 0.247436i | ||||
\(99\) | 4.58579 | + | 7.94282i | 0.460889 | + | 0.798283i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −8.48528 | −0.844317 | −0.422159 | − | 0.906522i | \(-0.638727\pi\) | ||||
−0.422159 | + | 0.906522i | \(0.638727\pi\) | |||||||
\(102\) | −0.500000 | + | 0.866025i | −0.0495074 | + | 0.0857493i | ||||
\(103\) | 1.03553 | − | 1.79360i | 0.102034 | − | 0.176728i | −0.810488 | − | 0.585755i | \(-0.800798\pi\) |
0.912523 | + | 0.409026i | \(0.134132\pi\) | |||||||
\(104\) | −3.03553 | + | 5.25770i | −0.297659 | + | 0.515560i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.20711 | + | 2.09077i | −0.117245 | + | 0.203074i | ||||
\(107\) | 6.20711 | + | 10.7510i | 0.600064 | + | 1.03934i | 0.992811 | + | 0.119694i | \(0.0381914\pi\) |
−0.392747 | + | 0.919646i | \(0.628475\pi\) | |||||||
\(108\) | −4.41421 | −0.424758 | ||||||||
\(109\) | −10.8284 | −1.03718 | −0.518588 | − | 0.855024i | \(-0.673542\pi\) | ||||
−0.518588 | + | 0.855024i | \(0.673542\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.207107 | + | 0.358719i | −0.0196577 | + | 0.0340481i | ||||
\(112\) | −0.621320 | − | 1.07616i | −0.0587093 | − | 0.101687i | ||||
\(113\) | 8.32843 | − | 14.4253i | 0.783473 | − | 1.35701i | −0.146435 | − | 0.989220i | \(-0.546780\pi\) |
0.929907 | − | 0.367794i | \(-0.119887\pi\) | |||||||
\(114\) | −0.378680 | + | 0.655892i | −0.0354666 | + | 0.0614300i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 12.4853 | 1.15923 | ||||||||
\(117\) | 5.41421 | + | 9.37769i | 0.500544 | + | 0.866968i | ||||
\(118\) | 0.843146 | + | 1.46037i | 0.0776179 | + | 0.134438i | ||||
\(119\) | −1.20711 | + | 2.09077i | −0.110655 | + | 0.191661i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.242641 | + | 0.420266i | 0.0220582 | + | 0.0382060i | ||||
\(122\) | 1.17157 | 0.106069 | ||||||||
\(123\) | 3.10051 | 0.279563 | ||||||||
\(124\) | 9.14214 | + | 4.47871i | 0.820988 | + | 0.402200i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0.485281 | 0.0432323 | ||||||||
\(127\) | 4.44975 | + | 7.70719i | 0.394851 | + | 0.683902i | 0.993082 | − | 0.117421i | \(-0.0374628\pi\) |
−0.598231 | + | 0.801324i | \(0.704129\pi\) | |||||||
\(128\) | 10.5563 | 0.933058 | ||||||||
\(129\) | 2.25736 | − | 3.90986i | 0.198749 | − | 0.344244i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 6.62132 | + | 11.4685i | 0.578507 | + | 1.00200i | 0.995651 | + | 0.0931636i | \(0.0296980\pi\) |
−0.417143 | + | 0.908841i | \(0.636969\pi\) | |||||||
\(132\) | 2.45584 | 0.213754 | ||||||||
\(133\) | −0.914214 | + | 1.58346i | −0.0792724 | + | 0.137304i | ||||
\(134\) | −0.671573 | + | 1.16320i | −0.0580151 | + | 0.100485i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −4.62132 | − | 8.00436i | −0.396275 | − | 0.686368i | ||||
\(137\) | 4.74264 | − | 8.21449i | 0.405191 | − | 0.701812i | −0.589153 | − | 0.808022i | \(-0.700538\pi\) |
0.994344 | + | 0.106210i | \(0.0338716\pi\) | |||||||
\(138\) | −0.343146 | − | 0.594346i | −0.0292105 | − | 0.0505941i | ||||
\(139\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −2.00000 | − | 3.46410i | −0.168430 | − | 0.291730i | ||||
\(142\) | 0.0147186 | − | 0.0254934i | 0.00123516 | − | 0.00213936i | ||||
\(143\) | −6.20711 | − | 10.7510i | −0.519064 | − | 0.899046i | ||||
\(144\) | 4.24264 | − | 7.34847i | 0.353553 | − | 0.612372i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0.378680 | − | 0.655892i | 0.0313398 | − | 0.0542820i | ||||
\(147\) | 2.82843 | 0.233285 | ||||||||
\(148\) | −0.914214 | − | 1.58346i | −0.0751479 | − | 0.130160i | ||||
\(149\) | −0.500000 | − | 0.866025i | −0.0409616 | − | 0.0709476i | 0.844818 | − | 0.535054i | \(-0.179709\pi\) |
−0.885779 | + | 0.464107i | \(0.846375\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.31371 | 0.432423 | 0.216212 | − | 0.976346i | \(-0.430630\pi\) | ||||
0.216212 | + | 0.976346i | \(0.430630\pi\) | |||||||
\(152\) | −3.50000 | − | 6.06218i | −0.283887 | − | 0.491708i | ||||
\(153\) | −16.4853 | −1.33276 | ||||||||
\(154\) | −0.556349 | −0.0448319 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 2.89949 | 0.232145 | ||||||||
\(157\) | −9.17157 | −0.731971 | −0.365986 | − | 0.930621i | \(-0.619268\pi\) | ||||
−0.365986 | + | 0.930621i | \(0.619268\pi\) | |||||||
\(158\) | −1.39949 | − | 2.42400i | −0.111338 | − | 0.192843i | ||||
\(159\) | 2.41421 | 0.191460 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.828427 | − | 1.43488i | −0.0652892 | − | 0.113084i | ||||
\(162\) | 1.55025 | + | 2.68512i | 0.121799 | + | 0.210963i | ||||
\(163\) | −20.9706 | −1.64254 | −0.821271 | − | 0.570539i | \(-0.806734\pi\) | ||||
−0.821271 | + | 0.570539i | \(0.806734\pi\) | |||||||
\(164\) | −6.84315 | + | 11.8527i | −0.534360 | + | 0.925539i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.08579 | − | 3.61269i | 0.161888 | − | 0.280399i | ||||
\(167\) | 11.2782 | + | 19.5344i | 0.872731 | + | 1.51162i | 0.859160 | + | 0.511707i | \(0.170987\pi\) |
0.0135714 | + | 0.999908i | \(0.495680\pi\) | |||||||
\(168\) | 0.136039 | − | 0.235626i | 0.0104956 | − | 0.0181790i | ||||
\(169\) | −0.828427 | − | 1.43488i | −0.0637252 | − | 0.110375i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −12.4853 | −0.954773 | ||||||||
\(172\) | 9.96447 | + | 17.2590i | 0.759783 | + | 1.31598i | ||||
\(173\) | 4.15685 | − | 7.19988i | 0.316040 | − | 0.547397i | −0.663618 | − | 0.748071i | \(-0.730980\pi\) |
0.979658 | + | 0.200674i | \(0.0643134\pi\) | |||||||
\(174\) | 0.585786 | + | 1.01461i | 0.0444084 | + | 0.0769175i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −4.86396 | + | 8.42463i | −0.366635 | + | 0.635030i | ||||
\(177\) | 0.843146 | − | 1.46037i | 0.0633747 | − | 0.109768i | ||||
\(178\) | −1.85786 | −0.139253 | ||||||||
\(179\) | 7.62132 | + | 13.2005i | 0.569644 | + | 0.986653i | 0.996601 | + | 0.0823807i | \(0.0262523\pi\) |
−0.426957 | + | 0.904272i | \(0.640414\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −6.15685 | + | 10.6640i | −0.457635 | + | 0.792648i | −0.998835 | − | 0.0482461i | \(-0.984637\pi\) |
0.541200 | + | 0.840894i | \(0.317970\pi\) | |||||||
\(182\) | −0.656854 | −0.0486893 | ||||||||
\(183\) | −0.585786 | − | 1.01461i | −0.0433026 | − | 0.0750023i | ||||
\(184\) | 6.34315 | 0.467623 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0.0649712 | + | 0.953065i | 0.00476392 | + | 0.0698821i | ||||
\(187\) | 18.8995 | 1.38207 | ||||||||
\(188\) | 17.6569 | 1.28776 | ||||||||
\(189\) | −0.500000 | − | 0.866025i | −0.0363696 | − | 0.0629941i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 10.4497 | − | 18.0995i | 0.756117 | − | 1.30963i | −0.188700 | − | 0.982035i | \(-0.560427\pi\) |
0.944817 | − | 0.327599i | \(-0.106239\pi\) | |||||||
\(192\) | −0.863961 | − | 1.49642i | −0.0623510 | − | 0.107995i | ||||
\(193\) | 3.57107 | + | 6.18527i | 0.257051 | + | 0.445226i | 0.965451 | − | 0.260586i | \(-0.0839158\pi\) |
−0.708400 | + | 0.705812i | \(0.750582\pi\) | |||||||
\(194\) | 2.14214 | 0.153796 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −6.24264 | + | 10.8126i | −0.445903 | + | 0.772326i | ||||
\(197\) | −6.74264 | + | 11.6786i | −0.480393 | + | 0.832066i | −0.999747 | − | 0.0224938i | \(-0.992839\pi\) |
0.519354 | + | 0.854559i | \(0.326173\pi\) | |||||||
\(198\) | −1.89949 | − | 3.29002i | −0.134991 | − | 0.233812i | ||||
\(199\) | −9.20711 | + | 15.9472i | −0.652674 | + | 1.13047i | 0.329797 | + | 0.944052i | \(0.393020\pi\) |
−0.982471 | + | 0.186413i | \(0.940314\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 1.34315 | 0.0947382 | ||||||||
\(202\) | 3.51472 | 0.247295 | ||||||||
\(203\) | 1.41421 | + | 2.44949i | 0.0992583 | + | 0.171920i | ||||
\(204\) | −2.20711 | + | 3.82282i | −0.154528 | + | 0.267651i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −0.428932 | + | 0.742932i | −0.0298851 | + | 0.0517625i | ||||
\(207\) | 5.65685 | − | 9.79796i | 0.393179 | − | 0.681005i | ||||
\(208\) | −5.74264 | + | 9.94655i | −0.398180 | + | 0.689669i | ||||
\(209\) | 14.3137 | 0.990100 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.20711 | − | 9.01897i | −0.358472 | − | 0.620892i | 0.629234 | − | 0.777216i | \(-0.283369\pi\) |
−0.987706 | + | 0.156324i | \(0.950035\pi\) | |||||||
\(212\) | −5.32843 | + | 9.22911i | −0.365958 | + | 0.633858i | ||||
\(213\) | −0.0294373 | −0.00201701 | ||||||||
\(214\) | −2.57107 | − | 4.45322i | −0.175755 | − | 0.304416i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 3.82843 | 0.260491 | ||||||||
\(217\) | 0.156854 | + | 2.30090i | 0.0106480 | + | 0.156195i | ||||
\(218\) | 4.48528 | 0.303782 | ||||||||
\(219\) | −0.757359 | −0.0511776 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 22.3137 | 1.50098 | ||||||||
\(222\) | 0.0857864 | − | 0.148586i | 0.00575761 | − | 0.00997247i | ||||
\(223\) | −11.8640 | − | 20.5490i | −0.794470 | − | 1.37606i | −0.923175 | − | 0.384379i | \(-0.874416\pi\) |
0.128706 | − | 0.991683i | \(-0.458918\pi\) | |||||||
\(224\) | 0.914214 | + | 1.58346i | 0.0610835 | + | 0.105800i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −3.44975 | + | 5.97514i | −0.229474 | + | 0.397460i | ||||
\(227\) | −9.20711 | + | 15.9472i | −0.611097 | + | 1.05845i | 0.379959 | + | 0.925003i | \(0.375938\pi\) |
−0.991056 | + | 0.133448i | \(0.957395\pi\) | |||||||
\(228\) | −1.67157 | + | 2.89525i | −0.110703 | + | 0.191743i | ||||
\(229\) | 2.74264 | + | 4.75039i | 0.181239 | + | 0.313915i | 0.942303 | − | 0.334762i | \(-0.108656\pi\) |
−0.761064 | + | 0.648677i | \(0.775323\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.278175 | + | 0.481813i | 0.0183025 | + | 0.0317009i | ||||
\(232\) | −10.8284 | −0.710921 | ||||||||
\(233\) | 9.17157 | 0.600850 | 0.300425 | − | 0.953805i | \(-0.402872\pi\) | ||||
0.300425 | + | 0.953805i | \(0.402872\pi\) | |||||||
\(234\) | −2.24264 | − | 3.88437i | −0.146606 | − | 0.253929i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 3.72183 | + | 6.44639i | 0.242270 | + | 0.419624i | ||||
\(237\) | −1.39949 | + | 2.42400i | −0.0909070 | + | 0.157455i | ||||
\(238\) | 0.500000 | − | 0.866025i | 0.0324102 | − | 0.0561361i | ||||
\(239\) | 10.6213 | − | 18.3967i | 0.687036 | − | 1.18998i | −0.285756 | − | 0.958302i | \(-0.592245\pi\) |
0.972792 | − | 0.231679i | \(-0.0744219\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.67157 | − | 11.5555i | −0.429754 | − | 0.744355i | 0.567097 | − | 0.823651i | \(-0.308066\pi\) |
−0.996851 | + | 0.0792954i | \(0.974733\pi\) | |||||||
\(242\) | −0.100505 | − | 0.174080i | −0.00646071 | − | 0.0111903i | ||||
\(243\) | 5.17157 | − | 8.95743i | 0.331757 | − | 0.574619i | ||||
\(244\) | 5.17157 | 0.331076 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −1.28427 | −0.0818821 | ||||||||
\(247\) | 16.8995 | 1.07529 | ||||||||
\(248\) | −7.92893 | − | 3.88437i | −0.503488 | − | 0.246658i | ||||
\(249\) | −4.17157 | −0.264363 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −3.20711 | − | 5.55487i | −0.202431 | − | 0.350620i | 0.746880 | − | 0.664958i | \(-0.231551\pi\) |
−0.949311 | + | 0.314338i | \(0.898217\pi\) | |||||||
\(252\) | 2.14214 | 0.134942 | ||||||||
\(253\) | −6.48528 | + | 11.2328i | −0.407726 | + | 0.706202i | ||||
\(254\) | −1.84315 | − | 3.19242i | −0.115649 | − | 0.200310i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 3.97056 | 0.248160 | ||||||||
\(257\) | 11.1569 | − | 19.3242i | 0.695945 | − | 1.20541i | −0.273915 | − | 0.961754i | \(-0.588319\pi\) |
0.969861 | − | 0.243659i | \(-0.0783478\pi\) | |||||||
\(258\) | −0.935029 | + | 1.61952i | −0.0582124 | + | 0.100827i | ||||
\(259\) | 0.207107 | − | 0.358719i | 0.0128690 | − | 0.0222897i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −9.65685 | + | 16.7262i | −0.597744 | + | 1.03532i | ||||
\(262\) | −2.74264 | − | 4.75039i | −0.169441 | − | 0.293480i | ||||
\(263\) | 23.3137 | 1.43758 | 0.718792 | − | 0.695225i | \(-0.244695\pi\) | ||||
0.718792 | + | 0.695225i | \(0.244695\pi\) | |||||||
\(264\) | −2.12994 | −0.131089 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0.378680 | − | 0.655892i | 0.0232183 | − | 0.0402153i | ||||
\(267\) | 0.928932 | + | 1.60896i | 0.0568497 | + | 0.0984666i | ||||
\(268\) | −2.96447 | + | 5.13461i | −0.181084 | + | 0.313646i | ||||
\(269\) | 13.0858 | − | 22.6652i | 0.797854 | − | 1.38192i | −0.123156 | − | 0.992387i | \(-0.539302\pi\) |
0.921011 | − | 0.389537i | \(-0.127365\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −0.686292 | −0.0416892 | −0.0208446 | − | 0.999783i | \(-0.506636\pi\) | ||||
−0.0208446 | + | 0.999783i | \(0.506636\pi\) | |||||||
\(272\) | −8.74264 | − | 15.1427i | −0.530100 | − | 0.918161i | ||||
\(273\) | 0.328427 | + | 0.568852i | 0.0198773 | + | 0.0344285i | ||||
\(274\) | −1.96447 | + | 3.40256i | −0.118678 | + | 0.205556i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −1.51472 | − | 2.62357i | −0.0911753 | − | 0.157920i | ||||
\(277\) | −14.1421 | −0.849719 | −0.424859 | − | 0.905259i | \(-0.639676\pi\) | ||||
−0.424859 | + | 0.905259i | \(0.639676\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −13.0711 | + | 8.78335i | −0.782544 | + | 0.525845i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 2.00000 | 0.119310 | 0.0596550 | − | 0.998219i | \(-0.481000\pi\) | ||||
0.0596550 | + | 0.998219i | \(0.481000\pi\) | |||||||
\(282\) | 0.828427 | + | 1.43488i | 0.0493321 | + | 0.0854457i | ||||
\(283\) | 13.6569 | 0.811816 | 0.405908 | − | 0.913914i | \(-0.366955\pi\) | ||||
0.405908 | + | 0.913914i | \(0.366955\pi\) | |||||||
\(284\) | 0.0649712 | − | 0.112533i | 0.00385533 | − | 0.00667763i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.57107 | + | 4.45322i | 0.152030 | + | 0.263324i | ||||
\(287\) | −3.10051 | −0.183017 | ||||||||
\(288\) | −6.24264 | + | 10.8126i | −0.367851 | + | 0.637137i | ||||
\(289\) | −8.48528 | + | 14.6969i | −0.499134 | + | 0.864526i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −1.07107 | − | 1.85514i | −0.0627871 | − | 0.108750i | ||||
\(292\) | 1.67157 | − | 2.89525i | 0.0978214 | − | 0.169432i | ||||
\(293\) | 7.39949 | + | 12.8163i | 0.432283 | + | 0.748736i | 0.997070 | − | 0.0765008i | \(-0.0243748\pi\) |
−0.564786 | + | 0.825237i | \(0.691041\pi\) | |||||||
\(294\) | −1.17157 | −0.0683275 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0.792893 | + | 1.37333i | 0.0460860 | + | 0.0798233i | ||||
\(297\) | −3.91421 | + | 6.77962i | −0.227126 | + | 0.393393i | ||||
\(298\) | 0.207107 | + | 0.358719i | 0.0119974 | + | 0.0207801i | ||||
\(299\) | −7.65685 | + | 13.2621i | −0.442807 | + | 0.766965i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.25736 | + | 3.90986i | −0.130112 | + | 0.225361i | ||||
\(302\) | −2.20101 | −0.126654 | ||||||||
\(303\) | −1.75736 | − | 3.04384i | −0.100958 | − | 0.174864i | ||||
\(304\) | −6.62132 | − | 11.4685i | −0.379759 | − | 0.657761i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 6.82843 | 0.390355 | ||||||||
\(307\) | −5.62132 | − | 9.73641i | −0.320826 | − | 0.555686i | 0.659833 | − | 0.751412i | \(-0.270627\pi\) |
−0.980659 | + | 0.195726i | \(0.937294\pi\) | |||||||
\(308\) | −2.45584 | −0.139935 | ||||||||
\(309\) | 0.857864 | 0.0488022 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 11.3137 | 0.641542 | 0.320771 | − | 0.947157i | \(-0.396058\pi\) | ||||
0.320771 | + | 0.947157i | \(0.396058\pi\) | |||||||
\(312\) | −2.51472 | −0.142368 | ||||||||
\(313\) | −0.914214 | − | 1.58346i | −0.0516744 | − | 0.0895027i | 0.839031 | − | 0.544083i | \(-0.183122\pi\) |
−0.890706 | + | 0.454581i | \(0.849789\pi\) | |||||||
\(314\) | 3.79899 | 0.214389 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −6.17767 | − | 10.7000i | −0.347521 | − | 0.601924i | ||||
\(317\) | −3.91421 | − | 6.77962i | −0.219844 | − | 0.380781i | 0.734916 | − | 0.678158i | \(-0.237222\pi\) |
−0.954760 | + | 0.297377i | \(0.903888\pi\) | |||||||
\(318\) | −1.00000 | −0.0560772 | ||||||||
\(319\) | 11.0711 | − | 19.1757i | 0.619861 | − | 1.07363i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −2.57107 | + | 4.45322i | −0.143503 | + | 0.248555i | ||||
\(322\) | 0.343146 | + | 0.594346i | 0.0191228 | + | 0.0331216i | ||||
\(323\) | −12.8640 | + | 22.2810i | −0.715770 | + | 1.23975i | ||||
\(324\) | 6.84315 | + | 11.8527i | 0.380175 | + | 0.658482i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 8.68629 | 0.481089 | ||||||||
\(327\) | −2.24264 | − | 3.88437i | −0.124018 | − | 0.214806i | ||||
\(328\) | 5.93503 | − | 10.2798i | 0.327707 | − | 0.567605i | ||||
\(329\) | 2.00000 | + | 3.46410i | 0.110264 | + | 0.190982i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.62132 | + | 8.00436i | −0.254011 | + | 0.439960i | −0.964626 | − | 0.263621i | \(-0.915083\pi\) |
0.710616 | + | 0.703580i | \(0.248417\pi\) | |||||||
\(332\) | 9.20711 | − | 15.9472i | 0.505306 | − | 0.875215i | ||||
\(333\) | 2.82843 | 0.154997 | ||||||||
\(334\) | −4.67157 | − | 8.09140i | −0.255617 | − | 0.442742i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0.257359 | − | 0.445759i | 0.0140401 | − | 0.0243182i | ||||
\(337\) | −9.31371 | −0.507350 | −0.253675 | − | 0.967290i | \(-0.581639\pi\) | ||||
−0.253675 | + | 0.967290i | \(0.581639\pi\) | |||||||
\(338\) | 0.343146 | + | 0.594346i | 0.0186647 | + | 0.0323282i | ||||
\(339\) | 6.89949 | 0.374729 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 14.9853 | − | 10.0696i | 0.811498 | − | 0.545301i | ||||
\(342\) | 5.17157 | 0.279647 | ||||||||
\(343\) | −5.72792 | −0.309279 | ||||||||
\(344\) | −8.64214 | − | 14.9686i | −0.465953 | − | 0.807054i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.72183 | + | 2.98229i | −0.0925659 | + | 0.160329i | ||||
\(347\) | −4.27817 | − | 7.41002i | −0.229664 | − | 0.397790i | 0.728044 | − | 0.685530i | \(-0.240430\pi\) |
−0.957709 | + | 0.287740i | \(0.907096\pi\) | |||||||
\(348\) | 2.58579 | + | 4.47871i | 0.138613 | + | 0.240084i | ||||
\(349\) | −27.1127 | −1.45131 | −0.725655 | − | 0.688059i | \(-0.758463\pi\) | ||||
−0.725655 | + | 0.688059i | \(0.758463\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −4.62132 | + | 8.00436i | −0.246668 | + | 0.427241i | ||||
\(352\) | 7.15685 | − | 12.3960i | 0.381462 | − | 0.660711i | ||||
\(353\) | 1.50000 | + | 2.59808i | 0.0798369 | + | 0.138282i | 0.903179 | − | 0.429263i | \(-0.141227\pi\) |
−0.823343 | + | 0.567545i | \(0.807893\pi\) | |||||||
\(354\) | −0.349242 | + | 0.604906i | −0.0185620 | + | 0.0321504i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −8.20101 | −0.434653 | ||||||||
\(357\) | −1.00000 | −0.0529256 | ||||||||
\(358\) | −3.15685 | − | 5.46783i | −0.166845 | − | 0.288984i | ||||
\(359\) | −3.55025 | + | 6.14922i | −0.187375 | + | 0.324543i | −0.944374 | − | 0.328873i | \(-0.893331\pi\) |
0.756999 | + | 0.653416i | \(0.226665\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.242641 | + | 0.420266i | −0.0127706 | + | 0.0221193i | ||||
\(362\) | 2.55025 | − | 4.41717i | 0.134038 | − | 0.232161i | ||||
\(363\) | −0.100505 | + | 0.174080i | −0.00527515 | + | 0.00913682i | ||||
\(364\) | −2.89949 | −0.151975 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0.242641 | + | 0.420266i | 0.0126830 | + | 0.0219677i | ||||
\(367\) | −12.1066 | + | 20.9692i | −0.631959 | + | 1.09459i | 0.355191 | + | 0.934794i | \(0.384416\pi\) |
−0.987151 | + | 0.159792i | \(0.948918\pi\) | |||||||
\(368\) | 12.0000 | 0.625543 | ||||||||
\(369\) | −10.5858 | − | 18.3351i | −0.551074 | − | 0.954488i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −2.41421 | −0.125340 | ||||||||
\(372\) | 0.286797 | + | 4.20703i | 0.0148697 | + | 0.218125i | ||||
\(373\) | −10.0000 | −0.517780 | −0.258890 | − | 0.965907i | \(-0.583357\pi\) | ||||
−0.258890 | + | 0.965907i | \(0.583357\pi\) | |||||||
\(374\) | −7.82843 | −0.404798 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −15.3137 | −0.789744 | ||||||||
\(377\) | 13.0711 | − | 22.6398i | 0.673194 | − | 1.16601i | ||||
\(378\) | 0.207107 | + | 0.358719i | 0.0106524 | + | 0.0184505i | ||||
\(379\) | −3.69239 | − | 6.39540i | −0.189665 | − | 0.328510i | 0.755473 | − | 0.655179i | \(-0.227407\pi\) |
−0.945139 | + | 0.326669i | \(0.894074\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −1.84315 | + | 3.19242i | −0.0944272 | + | 0.163553i | ||||
\(382\) | −4.32843 | + | 7.49706i | −0.221462 | + | 0.383583i | ||||
\(383\) | 2.55025 | − | 4.41717i | 0.130312 | − | 0.225707i | −0.793485 | − | 0.608590i | \(-0.791735\pi\) |
0.923797 | + | 0.382883i | \(0.125069\pi\) | |||||||
\(384\) | 2.18629 | + | 3.78677i | 0.111569 | + | 0.193243i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −1.47918 | − | 2.56202i | −0.0752885 | − | 0.130404i | ||||
\(387\) | −30.8284 | −1.56710 | ||||||||
\(388\) | 9.45584 | 0.480048 | ||||||||
\(389\) | 5.57107 | + | 9.64937i | 0.282464 | + | 0.489243i | 0.971991 | − | 0.235018i | \(-0.0755148\pi\) |
−0.689527 | + | 0.724260i | \(0.742181\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −11.6569 | − | 20.1903i | −0.589512 | − | 1.02107i | ||||
\(392\) | 5.41421 | − | 9.37769i | 0.273459 | − | 0.473645i | ||||
\(393\) | −2.74264 | + | 4.75039i | −0.138348 | + | 0.239626i | ||||
\(394\) | 2.79289 | − | 4.83743i | 0.140704 | − | 0.243706i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −8.38478 | − | 14.5229i | −0.421351 | − | 0.729801i | ||||
\(397\) | −16.7426 | − | 28.9991i | −0.840289 | − | 1.45542i | −0.889650 | − | 0.456642i | \(-0.849052\pi\) |
0.0493613 | − | 0.998781i | \(-0.484281\pi\) | |||||||
\(398\) | 3.81371 | − | 6.60554i | 0.191164 | − | 0.331106i | ||||
\(399\) | −0.757359 | −0.0379154 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −26.8284 | −1.33975 | −0.669874 | − | 0.742475i | \(-0.733652\pi\) | ||||
−0.669874 | + | 0.742475i | \(0.733652\pi\) | |||||||
\(402\) | −0.556349 | −0.0277482 | ||||||||
\(403\) | 17.6924 | − | 11.8887i | 0.881321 | − | 0.592220i | ||||
\(404\) | 15.5147 | 0.771886 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.585786 | − | 1.01461i | −0.0290721 | − | 0.0503543i | ||||
\(407\) | −3.24264 | −0.160732 | ||||||||
\(408\) | 1.91421 | − | 3.31552i | 0.0947677 | − | 0.164142i | ||||
\(409\) | −10.3284 | − | 17.8894i | −0.510708 | − | 0.884572i | −0.999923 | − | 0.0124088i | \(-0.996050\pi\) |
0.489215 | − | 0.872163i | \(-0.337283\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 3.92893 | 0.193800 | ||||||||
\(412\) | −1.89340 | + | 3.27946i | −0.0932810 | + | 0.161567i | ||||
\(413\) | −0.843146 | + | 1.46037i | −0.0414885 | + | 0.0718602i | ||||
\(414\) | −2.34315 | + | 4.05845i | −0.115159 | + | 0.199462i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 8.44975 | − | 14.6354i | 0.414283 | − | 0.717559i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −5.92893 | −0.289994 | ||||||||
\(419\) | 28.0000 | 1.36789 | 0.683945 | − | 0.729534i | \(-0.260263\pi\) | ||||
0.683945 | + | 0.729534i | \(0.260263\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 15.5711 | − | 26.9699i | 0.758887 | − | 1.31443i | −0.184531 | − | 0.982827i | \(-0.559077\pi\) |
0.943418 | − | 0.331605i | \(-0.107590\pi\) | |||||||
\(422\) | 2.15685 | + | 3.73578i | 0.104994 | + | 0.181855i | ||||
\(423\) | −13.6569 | + | 23.6544i | −0.664019 | + | 1.15011i | ||||
\(424\) | 4.62132 | − | 8.00436i | 0.224431 | − | 0.388726i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0.0121933 | 0.000590768 | ||||||||
\(427\) | 0.585786 | + | 1.01461i | 0.0283482 | + | 0.0491005i | ||||
\(428\) | −11.3492 | − | 19.6575i | −0.548586 | − | 0.950179i | ||||
\(429\) | 2.57107 | − | 4.45322i | 0.124132 | − | 0.215003i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 8.37868 | + | 14.5123i | 0.403587 | + | 0.699033i | 0.994156 | − | 0.107954i | \(-0.0344300\pi\) |
−0.590569 | + | 0.806987i | \(0.701097\pi\) | |||||||
\(432\) | 7.24264 | 0.348462 | ||||||||
\(433\) | −27.1127 | −1.30295 | −0.651477 | − | 0.758669i | \(-0.725850\pi\) | ||||
−0.651477 | + | 0.758669i | \(0.725850\pi\) | |||||||
\(434\) | −0.0649712 | − | 0.953065i | −0.00311872 | − | 0.0457486i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 19.7990 | 0.948200 | ||||||||
\(437\) | −8.82843 | − | 15.2913i | −0.422321 | − | 0.731481i | ||||
\(438\) | 0.313708 | 0.0149896 | ||||||||
\(439\) | −1.03553 | + | 1.79360i | −0.0494233 | + | 0.0856037i | −0.889679 | − | 0.456587i | \(-0.849072\pi\) |
0.840255 | + | 0.542191i | \(0.182405\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −9.65685 | − | 16.7262i | −0.459850 | − | 0.796484i | ||||
\(442\) | −9.24264 | −0.439628 | ||||||||
\(443\) | −2.37868 | + | 4.11999i | −0.113014 | + | 0.195747i | −0.916984 | − | 0.398923i | \(-0.869384\pi\) |
0.803970 | + | 0.594670i | \(0.202717\pi\) | |||||||
\(444\) | 0.378680 | − | 0.655892i | 0.0179713 | − | 0.0311273i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 4.91421 | + | 8.51167i | 0.232695 | + | 0.403039i | ||||
\(447\) | 0.207107 | − | 0.358719i | 0.00979581 | − | 0.0169668i | ||||
\(448\) | 0.863961 | + | 1.49642i | 0.0408183 | + | 0.0706994i | ||||
\(449\) | −40.6274 | −1.91733 | −0.958663 | − | 0.284543i | \(-0.908158\pi\) | ||||
−0.958663 | + | 0.284543i | \(0.908158\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 12.1360 | + | 21.0202i | 0.571464 | + | 0.989804i | ||||
\(452\) | −15.2279 | + | 26.3755i | −0.716261 | + | 1.24060i | ||||
\(453\) | 1.10051 | + | 1.90613i | 0.0517062 | + | 0.0895578i | ||||
\(454\) | 3.81371 | − | 6.60554i | 0.178986 | − | 0.310013i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 1.44975 | − | 2.51104i | 0.0678906 | − | 0.117590i | ||||
\(457\) | 31.1127 | 1.45539 | 0.727695 | − | 0.685901i | \(-0.240591\pi\) | ||||
0.727695 | + | 0.685901i | \(0.240591\pi\) | |||||||
\(458\) | −1.13604 | − | 1.96768i | −0.0530836 | − | 0.0919435i | ||||
\(459\) | −7.03553 | − | 12.1859i | −0.328391 | − | 0.568789i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −2.14214 | −0.0997692 | −0.0498846 | − | 0.998755i | \(-0.515885\pi\) | ||||
−0.0498846 | + | 0.998755i | \(0.515885\pi\) | |||||||
\(462\) | −0.115224 | − | 0.199573i | −0.00536069 | − | 0.00928499i | ||||
\(463\) | 8.97056 | 0.416897 | 0.208449 | − | 0.978033i | \(-0.433159\pi\) | ||||
0.208449 | + | 0.978033i | \(0.433159\pi\) | |||||||
\(464\) | −20.4853 | −0.951005 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −3.79899 | −0.175985 | ||||||||
\(467\) | 8.00000 | 0.370196 | 0.185098 | − | 0.982720i | \(-0.440740\pi\) | ||||
0.185098 | + | 0.982720i | \(0.440740\pi\) | |||||||
\(468\) | −9.89949 | − | 17.1464i | −0.457604 | − | 0.792594i | ||||
\(469\) | −1.34315 | −0.0620207 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −1.89949 | − | 3.29002i | −0.0875241 | − | 0.151596i | ||||
\(472\) | −3.22792 | − | 5.59093i | −0.148577 | − | 0.257343i | ||||
\(473\) | 35.3431 | 1.62508 | ||||||||
\(474\) | 0.579690 | − | 1.00405i | 0.0266260 | − | 0.0461176i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 2.20711 | − | 3.82282i | 0.101163 | − | 0.175219i | ||||
\(477\) | −8.24264 | − | 14.2767i | −0.377405 | − | 0.653684i | ||||
\(478\) | −4.39949 | + | 7.62015i | −0.201228 | + | 0.348537i | ||||
\(479\) | 7.86396 | + | 13.6208i | 0.359314 | + | 0.622349i | 0.987846 | − | 0.155434i | \(-0.0496775\pi\) |
−0.628533 | + | 0.777783i | \(0.716344\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.82843 | −0.174561 | ||||||||
\(482\) | 2.76346 | + | 4.78645i | 0.125872 | + | 0.218017i | ||||
\(483\) | 0.343146 | − | 0.594346i | 0.0156137 | − | 0.0270437i | ||||
\(484\) | −0.443651 | − | 0.768426i | −0.0201659 | − | 0.0349284i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −2.14214 | + | 3.71029i | −0.0971692 | + | 0.168302i | ||||
\(487\) | 9.69239 | − | 16.7877i | 0.439204 | − | 0.760724i | −0.558424 | − | 0.829556i | \(-0.688594\pi\) |
0.997628 | + | 0.0688318i | \(0.0219272\pi\) | |||||||
\(488\) | −4.48528 | −0.203039 | ||||||||
\(489\) | −4.34315 | − | 7.52255i | −0.196404 | − | 0.340181i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −0.792893 | + | 1.37333i | −0.0357828 | + | 0.0619776i | −0.883362 | − | 0.468691i | \(-0.844726\pi\) |
0.847579 | + | 0.530669i | \(0.178059\pi\) | |||||||
\(492\) | −5.66905 | −0.255580 | ||||||||
\(493\) | 19.8995 | + | 34.4669i | 0.896228 | + | 1.55231i | ||||
\(494\) | −7.00000 | −0.314945 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −15.0000 | − | 7.34847i | −0.673520 | − | 0.329956i | ||||
\(497\) | 0.0294373 | 0.00132044 | ||||||||
\(498\) | 1.72792 | 0.0774300 | ||||||||
\(499\) | 1.10660 | + | 1.91669i | 0.0495383 | + | 0.0858028i | 0.889731 | − | 0.456485i | \(-0.150892\pi\) |
−0.840193 | + | 0.542288i | \(0.817558\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −4.67157 | + | 8.09140i | −0.208710 | + | 0.361497i | ||||
\(502\) | 1.32843 | + | 2.30090i | 0.0592906 | + | 0.102694i | ||||
\(503\) | −6.69239 | − | 11.5916i | −0.298399 | − | 0.516842i | 0.677371 | − | 0.735642i | \(-0.263119\pi\) |
−0.975770 | + | 0.218800i | \(0.929786\pi\) | |||||||
\(504\) | −1.85786 | −0.0827559 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 2.68629 | − | 4.65279i | 0.119420 | − | 0.206842i | ||||
\(507\) | 0.343146 | − | 0.594346i | 0.0152396 | − | 0.0263958i | ||||
\(508\) | −8.13604 | − | 14.0920i | −0.360978 | − | 0.625233i | ||||
\(509\) | 16.3995 | − | 28.4048i | 0.726895 | − | 1.25902i | −0.231294 | − | 0.972884i | \(-0.574296\pi\) |
0.958189 | − | 0.286135i | \(-0.0923706\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.757359 | 0.0335036 | ||||||||
\(512\) | −22.7574 | −1.00574 | ||||||||
\(513\) | −5.32843 | − | 9.22911i | −0.235256 | − | 0.407475i | ||||
\(514\) | −4.62132 | + | 8.00436i | −0.203838 | + | 0.353057i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −4.12742 | + | 7.14890i | −0.181699 | + | 0.314713i | ||||
\(517\) | 15.6569 | − | 27.1185i | 0.688588 | − | 1.19267i | ||||
\(518\) | −0.0857864 | + | 0.148586i | −0.00376924 | + | 0.00652851i | ||||
\(519\) | 3.44365 | 0.151159 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 10.2279 | + | 17.7153i | 0.448093 | + | 0.776121i | 0.998262 | − | 0.0589331i | \(-0.0187699\pi\) |
−0.550169 | + | 0.835054i | \(0.685437\pi\) | |||||||
\(522\) | 4.00000 | − | 6.92820i | 0.175075 | − | 0.303239i | ||||
\(523\) | 8.00000 | 0.349816 | 0.174908 | − | 0.984585i | \(-0.444037\pi\) | ||||
0.174908 | + | 0.984585i | \(0.444037\pi\) | |||||||
\(524\) | −12.1066 | − | 20.9692i | −0.528879 | − | 0.916046i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9.65685 | −0.421059 | ||||||||
\(527\) | 2.20711 | + | 32.3762i | 0.0961431 | + | 1.41033i | ||||
\(528\) | −4.02944 | −0.175359 | ||||||||
\(529\) | −7.00000 | −0.304348 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −11.5147 | −0.499696 | ||||||||
\(532\) | 1.67157 | − | 2.89525i | 0.0724719 | − | 0.125525i | ||||
\(533\) | 14.3284 | + | 24.8176i | 0.620633 | + | 1.07497i | ||||
\(534\) | −0.384776 | − | 0.666452i | −0.0166509 | − | 0.0288402i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 2.57107 | − | 4.45322i | 0.111053 | − | 0.192350i | ||||
\(537\) | −3.15685 | + | 5.46783i | −0.136228 | + | 0.235954i | ||||
\(538\) | −5.42031 | + | 9.38825i | −0.233686 | + | 0.404756i | ||||
\(539\) | 11.0711 | + | 19.1757i | 0.476865 | + | 0.825954i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 15.6421 | + | 27.0930i | 0.672508 | + | 1.16482i | 0.977191 | + | 0.212364i | \(0.0681162\pi\) |
−0.304683 | + | 0.952454i | \(0.598550\pi\) | |||||||
\(542\) | 0.284271 | 0.0122105 | ||||||||
\(543\) | −5.10051 | −0.218884 | ||||||||
\(544\) | 12.8640 | + | 22.2810i | 0.551538 | + | 0.955291i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −0.136039 | − | 0.235626i | −0.00582193 | − | 0.0100839i | ||||
\(547\) | −9.86396 | + | 17.0849i | −0.421753 | + | 0.730497i | −0.996111 | − | 0.0881071i | \(-0.971918\pi\) |
0.574358 | + | 0.818604i | \(0.305252\pi\) | |||||||
\(548\) | −8.67157 | + | 15.0196i | −0.370431 | + | 0.641606i | ||||
\(549\) | −4.00000 | + | 6.92820i | −0.170716 | + | 0.295689i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 15.0711 | + | 26.1039i | 0.642049 | + | 1.11206i | ||||
\(552\) | 1.31371 | + | 2.27541i | 0.0559151 | + | 0.0968479i | ||||
\(553\) | 1.39949 | − | 2.42400i | 0.0595126 | − | 0.103079i | ||||
\(554\) | 5.85786 | 0.248877 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −27.5147 | −1.16584 | −0.582918 | − | 0.812531i | \(-0.698089\pi\) | ||||
−0.582918 | + | 0.812531i | \(0.698089\pi\) | |||||||
\(558\) | 5.41421 | − | 3.63818i | 0.229202 | − | 0.154017i | ||||
\(559\) | 41.7279 | 1.76490 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 3.91421 | + | 6.77962i | 0.165258 | + | 0.286236i | ||||
\(562\) | −0.828427 | −0.0349451 | ||||||||
\(563\) | 6.62132 | − | 11.4685i | 0.279055 | − | 0.483338i | −0.692095 | − | 0.721807i | \(-0.743312\pi\) |
0.971150 | + | 0.238468i | \(0.0766454\pi\) | |||||||
\(564\) | 3.65685 | + | 6.33386i | 0.153981 | + | 0.266704i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −5.65685 | −0.237775 | ||||||||
\(567\) | −1.55025 | + | 2.68512i | −0.0651045 | + | 0.112764i | ||||
\(568\) | −0.0563492 | + | 0.0975997i | −0.00236436 | + | 0.00409519i | ||||
\(569\) | 6.57107 | − | 11.3814i | 0.275473 | − | 0.477134i | −0.694781 | − | 0.719221i | \(-0.744499\pi\) |
0.970254 | + | 0.242087i | \(0.0778320\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 10.5503 | − | 18.2736i | 0.441514 | − | 0.764725i | −0.556288 | − | 0.830990i | \(-0.687775\pi\) |
0.997802 | + | 0.0662645i | \(0.0211081\pi\) | |||||||
\(572\) | 11.3492 | + | 19.6575i | 0.474536 | + | 0.821920i | ||||
\(573\) | 8.65685 | 0.361645 | ||||||||
\(574\) | 1.28427 | 0.0536044 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −5.89949 | + | 10.2182i | −0.245812 | + | 0.425759i | ||||
\(577\) | −0.0147186 | − | 0.0254934i | −0.000612744 | − | 0.00106130i | 0.865719 | − | 0.500531i | \(-0.166862\pi\) |
−0.866332 | + | 0.499469i | \(0.833528\pi\) | |||||||
\(578\) | 3.51472 | − | 6.08767i | 0.146193 | − | 0.253214i | ||||
\(579\) | −1.47918 | + | 2.56202i | −0.0614728 | + | 0.106474i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 4.17157 | 0.173066 | ||||||||
\(582\) | 0.443651 | + | 0.768426i | 0.0183899 | + | 0.0318523i | ||||
\(583\) | 9.44975 | + | 16.3674i | 0.391369 | + | 0.677870i | ||||
\(584\) | −1.44975 | + | 2.51104i | −0.0599910 | + | 0.103907i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −3.06497 | − | 5.30869i | −0.126613 | − | 0.219300i | ||||
\(587\) | 31.6569 | 1.30662 | 0.653309 | − | 0.757091i | \(-0.273380\pi\) | ||||
0.653309 | + | 0.757091i | \(0.273380\pi\) | |||||||
\(588\) | −5.17157 | −0.213272 | ||||||||
\(589\) | 1.67157 | + | 24.5204i | 0.0688760 | + | 1.01035i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −5.58579 | −0.229769 | ||||||||
\(592\) | 1.50000 | + | 2.59808i | 0.0616496 | + | 0.106780i | ||||
\(593\) | 1.31371 | 0.0539475 | 0.0269738 | − | 0.999636i | \(-0.491413\pi\) | ||||
0.0269738 | + | 0.999636i | \(0.491413\pi\) | |||||||
\(594\) | 1.62132 | − | 2.80821i | 0.0665236 | − | 0.115222i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0.914214 | + | 1.58346i | 0.0374476 | + | 0.0648612i | ||||
\(597\) | −7.62742 | −0.312169 | ||||||||
\(598\) | 3.17157 | − | 5.49333i | 0.129695 | − | 0.224639i | ||||
\(599\) | −7.55025 | + | 13.0774i | −0.308495 | + | 0.534329i | −0.978033 | − | 0.208449i | \(-0.933159\pi\) |
0.669538 | + | 0.742777i | \(0.266492\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 3.25736 | + | 5.64191i | 0.132870 | + | 0.230138i | 0.924782 | − | 0.380498i | \(-0.124247\pi\) |
−0.791911 | + | 0.610636i | \(0.790914\pi\) | |||||||
\(602\) | 0.935029 | − | 1.61952i | 0.0381089 | − | 0.0660066i | ||||
\(603\) | −4.58579 | − | 7.94282i | −0.186748 | − | 0.323456i | ||||
\(604\) | −9.71573 | −0.395327 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0.727922 | + | 1.26080i | 0.0295698 | + | 0.0512164i | ||||
\(607\) | −0.792893 | + | 1.37333i | −0.0321825 | + | 0.0557418i | −0.881668 | − | 0.471870i | \(-0.843579\pi\) |
0.849486 | + | 0.527612i | \(0.176912\pi\) | |||||||
\(608\) | 9.74264 | + | 16.8747i | 0.395116 | + | 0.684361i | ||||
\(609\) | −0.585786 | + | 1.01461i | −0.0237373 | + | 0.0411141i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 18.4853 | − | 32.0174i | 0.747834 | − | 1.29529i | ||||
\(612\) | 30.1421 | 1.21842 | ||||||||
\(613\) | 6.15685 | + | 10.6640i | 0.248673 | + | 0.430714i | 0.963158 | − | 0.268937i | \(-0.0866722\pi\) |
−0.714485 | + | 0.699651i | \(0.753339\pi\) | |||||||
\(614\) | 2.32843 | + | 4.03295i | 0.0939677 | + | 0.162757i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 2.12994 | 0.0858178 | ||||||||
\(617\) | −16.6421 | − | 28.8250i | −0.669987 | − | 1.16045i | −0.977907 | − | 0.209040i | \(-0.932966\pi\) |
0.307920 | − | 0.951412i | \(-0.400367\pi\) | |||||||
\(618\) | −0.355339 | −0.0142938 | ||||||||
\(619\) | −20.3431 | −0.817660 | −0.408830 | − | 0.912611i | \(-0.634063\pi\) | ||||
−0.408830 | + | 0.912611i | \(0.634063\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 9.65685 | 0.387516 | ||||||||
\(622\) | −4.68629 | −0.187903 | ||||||||
\(623\) | −0.928932 | − | 1.60896i | −0.0372169 | − | 0.0644615i | ||||
\(624\) | −4.75736 | −0.190447 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 0.378680 | + | 0.655892i | 0.0151351 | + | 0.0262147i | ||||
\(627\) | 2.96447 | + | 5.13461i | 0.118389 | + | 0.205056i | ||||
\(628\) | 16.7696 | 0.669178 | ||||||||
\(629\) | 2.91421 | − | 5.04757i | 0.116197 | − | 0.201260i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −25.0061 | + | 43.3118i | −0.995477 | + | 1.72422i | −0.415464 | + | 0.909610i | \(0.636381\pi\) |
−0.580013 | + | 0.814607i | \(0.696953\pi\) | |||||||
\(632\) | 5.35786 | + | 9.28009i | 0.213124 | + | 0.369142i | ||||
\(633\) | 2.15685 | − | 3.73578i | 0.0857273 | − | 0.148484i | ||||
\(634\) | 1.62132 | + | 2.80821i | 0.0643909 | + | 0.111528i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −4.41421 | −0.175035 | ||||||||
\(637\) | 13.0711 | + | 22.6398i | 0.517895 | + | 0.897020i | ||||
\(638\) | −4.58579 | + | 7.94282i | −0.181553 | + | 0.314459i | ||||
\(639\) | 0.100505 | + | 0.174080i | 0.00397592 | + | 0.00688649i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 6.98528 | − | 12.0989i | 0.275902 | − | 0.477876i | −0.694460 | − | 0.719531i | \(-0.744357\pi\) |
0.970362 | + | 0.241655i | \(0.0776901\pi\) | |||||||
\(642\) | 1.06497 | − | 1.84458i | 0.0420311 | − | 0.0727999i | ||||
\(643\) | −35.3137 | −1.39264 | −0.696318 | − | 0.717733i | \(-0.745180\pi\) | ||||
−0.696318 | + | 0.717733i | \(0.745180\pi\) | |||||||
\(644\) | 1.51472 | + | 2.62357i | 0.0596883 | + | 0.103383i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 5.32843 | − | 9.22911i | 0.209644 | − | 0.363114i | ||||
\(647\) | 45.3137 | 1.78147 | 0.890733 | − | 0.454527i | \(-0.150192\pi\) | ||||
0.890733 | + | 0.454527i | \(0.150192\pi\) | |||||||
\(648\) | −5.93503 | − | 10.2798i | −0.233150 | − | 0.403828i | ||||
\(649\) | 13.2010 | 0.518185 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.792893 | + | 0.532799i | −0.0310759 | + | 0.0208821i | ||||
\(652\) | 38.3431 | 1.50163 | ||||||||
\(653\) | 6.14214 | 0.240360 | 0.120180 | − | 0.992752i | \(-0.461653\pi\) | ||||
0.120180 | + | 0.992752i | \(0.461653\pi\) | |||||||
\(654\) | 0.928932 | + | 1.60896i | 0.0363241 | + | 0.0629152i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 11.2279 | − | 19.4473i | 0.438377 | − | 0.759291i | ||||
\(657\) | 2.58579 | + | 4.47871i | 0.100881 | + | 0.174731i | ||||
\(658\) | −0.828427 | − | 1.43488i | −0.0322955 | − | 0.0559374i | ||||
\(659\) | −1.65685 | −0.0645419 | −0.0322709 | − | 0.999479i | \(-0.510274\pi\) | ||||
−0.0322709 | + | 0.999479i | \(0.510274\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −2.42893 | + | 4.20703i | −0.0944745 | + | 0.163635i | −0.909389 | − | 0.415946i | \(-0.863450\pi\) |
0.814915 | + | 0.579581i | \(0.196784\pi\) | |||||||
\(662\) | 1.91421 | − | 3.31552i | 0.0743980 | − | 0.128861i | ||||
\(663\) | 4.62132 | + | 8.00436i | 0.179477 | + | 0.310864i | ||||
\(664\) | −7.98528 | + | 13.8309i | −0.309889 | + | 0.536744i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −1.17157 | −0.0453975 | ||||||||
\(667\) | −27.3137 | −1.05759 | ||||||||
\(668\) | −20.6213 | − | 35.7172i | −0.797863 | − | 1.38194i | ||||
\(669\) | 4.91421 | − | 8.51167i | 0.189994 | − | 0.329080i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 4.58579 | − | 7.94282i | 0.177032 | − | 0.306629i | ||||
\(672\) | −0.378680 | + | 0.655892i | −0.0146079 | + | 0.0253016i | ||||
\(673\) | 4.67157 | − | 8.09140i | 0.180076 | − | 0.311901i | −0.761830 | − | 0.647777i | \(-0.775699\pi\) |
0.941906 | + | 0.335876i | \(0.109032\pi\) | |||||||
\(674\) | 3.85786 | 0.148599 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 1.51472 | + | 2.62357i | 0.0582584 | + | 0.100907i | ||||
\(677\) | −19.2990 | + | 33.4268i | −0.741720 | + | 1.28470i | 0.209991 | + | 0.977703i | \(0.432657\pi\) |
−0.951711 | + | 0.306994i | \(0.900677\pi\) | |||||||
\(678\) | −2.85786 | −0.109756 | ||||||||
\(679\) | 1.07107 | + | 1.85514i | 0.0411038 | + | 0.0711939i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −7.62742 | −0.292283 | ||||||||
\(682\) | −6.20711 | + | 4.17098i | −0.237682 | + | 0.159715i | ||||
\(683\) | 1.37258 | 0.0525204 | 0.0262602 | − | 0.999655i | \(-0.491640\pi\) | ||||
0.0262602 | + | 0.999655i | \(0.491640\pi\) | |||||||
\(684\) | 22.8284 | 0.872867 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 2.37258 | 0.0905856 | ||||||||
\(687\) | −1.13604 | + | 1.96768i | −0.0433426 | + | 0.0750716i | ||||
\(688\) | −16.3492 | − | 28.3177i | −0.623309 | − | 1.07960i | ||||
\(689\) | 11.1569 | + | 19.3242i | 0.425042 | + | 0.736195i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0.0355339 | − | 0.0615465i | 0.00135177 | − | 0.00234134i | −0.865349 | − | 0.501170i | \(-0.832903\pi\) |
0.866700 | + | 0.498829i | \(0.166236\pi\) | |||||||
\(692\) | −7.60051 | + | 13.1645i | −0.288928 | + | 0.500438i | ||||
\(693\) | 1.89949 | − | 3.29002i | 0.0721558 | − | 0.124978i | ||||
\(694\) | 1.77208 | + | 3.06933i | 0.0672672 | + | 0.116510i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −2.24264 | − | 3.88437i | −0.0850071 | − | 0.147237i | ||||
\(697\) | −43.6274 | −1.65251 | ||||||||
\(698\) | 11.2304 | 0.425079 | ||||||||
\(699\) | 1.89949 | + | 3.29002i | 0.0718455 | + | 0.124440i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 6.74264 | + | 11.6786i | 0.254666 | + | 0.441094i | 0.964805 | − | 0.262967i | \(-0.0847011\pi\) |
−0.710139 | + | 0.704062i | \(0.751368\pi\) | |||||||
\(702\) | 1.91421 | − | 3.31552i | 0.0722473 | − | 0.125136i | ||||
\(703\) | 2.20711 | − | 3.82282i | 0.0832426 | − | 0.144180i | ||||
\(704\) | 6.76346 | − | 11.7146i | 0.254907 | − | 0.441512i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −0.621320 | − | 1.07616i | −0.0233837 | − | 0.0405018i | ||||
\(707\) | 1.75736 | + | 3.04384i | 0.0660923 | + | 0.114475i | ||||
\(708\) | −1.54163 | + | 2.67018i | −0.0579380 | + | 0.100352i | ||||
\(709\) | 17.3137 | 0.650230 | 0.325115 | − | 0.945674i | \(-0.394597\pi\) | ||||
0.325115 | + | 0.945674i | \(0.394597\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 19.1127 | 0.716782 | ||||||||
\(712\) | 7.11270 | 0.266560 | ||||||||
\(713\) | −20.0000 | − | 9.79796i | −0.749006 | − | 0.366936i | ||||
\(714\) | 0.414214 | 0.0155016 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −13.9350 | − | 24.1362i | −0.520776 | − | 0.902011i | ||||
\(717\) | 8.79899 | 0.328604 | ||||||||
\(718\) | 1.47056 | − | 2.54709i | 0.0548809 | − | 0.0950565i | ||||
\(719\) | 4.03553 | + | 6.98975i | 0.150500 | + | 0.260674i | 0.931411 | − | 0.363968i | \(-0.118578\pi\) |
−0.780911 | + | 0.624642i | \(0.785245\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.857864 | −0.0319485 | ||||||||
\(722\) | 0.100505 | − | 0.174080i | 0.00374041 | − | 0.00647858i | ||||
\(723\) | 2.76346 | − | 4.78645i | 0.102774 | − | 0.178010i | ||||
\(724\) | 11.2574 | − | 19.4983i | 0.418376 | − | 0.724649i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0.0416306 | − | 0.0721062i | 0.00154506 | − | 0.00267611i | ||||
\(727\) | 20.4203 | + | 35.3690i | 0.757347 | + | 1.31176i | 0.944199 | + | 0.329376i | \(0.106838\pi\) |
−0.186851 | + | 0.982388i | \(0.559828\pi\) | |||||||
\(728\) | 2.51472 | 0.0932017 | ||||||||
\(729\) | −18.1716 | −0.673021 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −31.7635 | + | 55.0159i | −1.17481 | + | 2.03484i | ||||
\(732\) | 1.07107 | + | 1.85514i | 0.0395878 | + | 0.0685681i | ||||
\(733\) | 7.81371 | − | 13.5337i | 0.288606 | − | 0.499880i | −0.684871 | − | 0.728664i | \(-0.740142\pi\) |
0.973477 | + | 0.228784i | \(0.0734749\pi\) | |||||||
\(734\) | 5.01472 | − | 8.68575i | 0.185097 | − | 0.320597i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −17.6569 | −0.650840 | ||||||||
\(737\) | 5.25736 | + | 9.10601i | 0.193657 | + | 0.335424i | ||||
\(738\) | 4.38478 | + | 7.59466i | 0.161406 | + | 0.279563i | ||||
\(739\) | −22.9350 | + | 39.7246i | −0.843679 | + | 1.46129i | 0.0430851 | + | 0.999071i | \(0.486281\pi\) |
−0.886764 | + | 0.462223i | \(0.847052\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 3.50000 | + | 6.06218i | 0.128576 | + | 0.222700i | ||||
\(742\) | 1.00000 | 0.0367112 | ||||||||
\(743\) | −5.65685 | −0.207530 | −0.103765 | − | 0.994602i | \(-0.533089\pi\) | ||||
−0.103765 | + | 0.994602i | \(0.533089\pi\) | |||||||
\(744\) | −0.248737 | − | 3.64874i | −0.00911915 | − | 0.133769i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 4.14214 | 0.151654 | ||||||||
\(747\) | 14.2426 | + | 24.6690i | 0.521111 | + | 0.902591i | ||||
\(748\) | −34.5563 | −1.26351 | ||||||||
\(749\) | 2.57107 | − | 4.45322i | 0.0939448 | − | 0.162717i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −3.62132 | − | 6.27231i | −0.132144 | − | 0.228880i | 0.792359 | − | 0.610055i | \(-0.208853\pi\) |
−0.924503 | + | 0.381175i | \(0.875519\pi\) | |||||||
\(752\) | −28.9706 | −1.05645 | ||||||||
\(753\) | 1.32843 | − | 2.30090i | 0.0484106 | − | 0.0838496i | ||||
\(754\) | −5.41421 | + | 9.37769i | −0.197174 | + | 0.341515i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0.914214 | + | 1.58346i | 0.0332496 | + | 0.0575900i | ||||
\(757\) | 11.6716 | − | 20.2158i | 0.424211 | − | 0.734754i | −0.572136 | − | 0.820159i | \(-0.693885\pi\) |
0.996346 | + | 0.0854047i | \(0.0272183\pi\) | |||||||
\(758\) | 1.52944 | + | 2.64906i | 0.0555517 | + | 0.0962183i | ||||
\(759\) | −5.37258 | −0.195012 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −15.2279 | − | 26.3755i | −0.552012 | − | 0.956112i | −0.998129 | − | 0.0611380i | \(-0.980527\pi\) |
0.446118 | − | 0.894974i | \(-0.352806\pi\) | |||||||
\(762\) | 0.763456 | − | 1.32234i | 0.0276571 | − | 0.0479035i | ||||
\(763\) | 2.24264 | + | 3.88437i | 0.0811890 | + | 0.140624i | ||||
\(764\) | −19.1066 | + | 33.0936i | −0.691253 | + | 1.19728i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −1.05635 | + | 1.82965i | −0.0381674 | + | 0.0661080i | ||||
\(767\) | 15.5858 | 0.562770 | ||||||||
\(768\) | 0.822330 | + | 1.42432i | 0.0296733 | + | 0.0513957i | ||||
\(769\) | −18.0563 | − | 31.2745i | −0.651129 | − | 1.12779i | −0.982849 | − | 0.184410i | \(-0.940963\pi\) |
0.331721 | − | 0.943378i | \(-0.392371\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 9.24264 | 0.332866 | ||||||||
\(772\) | −6.52944 | − | 11.3093i | −0.235000 | − | 0.407031i | ||||
\(773\) | −18.0000 | −0.647415 | −0.323708 | − | 0.946157i | \(-0.604929\pi\) | ||||
−0.323708 | + | 0.946157i | \(0.604929\pi\) | |||||||
\(774\) | 12.7696 | 0.458992 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −8.20101 | −0.294399 | ||||||||
\(777\) | 0.171573 | 0.00615514 | ||||||||
\(778\) | −2.30761 | − | 3.99690i | −0.0827319 | − | 0.143296i | ||||
\(779\) | −33.0416 | −1.18384 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.115224 | − | 0.199573i | −0.00412303 | − | 0.00714129i | ||||
\(782\) | 4.82843 | + | 8.36308i | 0.172664 | + | 0.299063i | ||||
\(783\) | −16.4853 | −0.589136 | ||||||||
\(784\) | 10.2426 | − | 17.7408i | 0.365809 | − | 0.633599i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 1.13604 | − | 1.96768i | 0.0405212 | − | 0.0701847i | ||||
\(787\) | 21.2071 | + | 36.7318i | 0.755952 | + | 1.30935i | 0.944900 | + | 0.327360i | \(0.106159\pi\) |
−0.188948 | + | 0.981987i | \(0.560508\pi\) | |||||||
\(788\) | 12.3284 | − | 21.3535i | 0.439182 | − | 0.760686i | ||||
\(789\) | 4.82843 | + | 8.36308i | 0.171897 | + | 0.297734i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −6.89949 | −0.245318 | ||||||||
\(792\) | 7.27208 | + | 12.5956i | 0.258402 | + | 0.447565i | ||||
\(793\) | 5.41421 | − | 9.37769i | 0.192264 | − | 0.333012i | ||||
\(794\) | 6.93503 | + | 12.0118i | 0.246115 | + | 0.426284i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 16.8345 | − | 29.1583i | 0.596684 | − | 1.03349i | ||||
\(797\) | 14.2279 | − | 24.6435i | 0.503979 | − | 0.872917i | −0.496011 | − | 0.868316i | \(-0.665202\pi\) |
0.999989 | − | 0.00460050i | \(-0.00146439\pi\) | |||||||
\(798\) | 0.313708 | 0.0111052 | ||||||||
\(799\) | 28.1421 | + | 48.7436i | 0.995597 | + | 1.72442i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 6.34315 | − | 10.9867i | 0.224124 | − | 0.388194i | ||||
\(802\) | 11.1127 | 0.392403 | ||||||||
\(803\) | −2.96447 | − | 5.13461i | −0.104614 | − | 0.181196i | ||||
\(804\) | −2.45584 | −0.0866109 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −7.32843 | + | 4.92447i | −0.258133 | + | 0.173457i | ||||
\(807\) | 10.8406 | 0.381608 | ||||||||
\(808\) | −13.4558 | −0.473375 | ||||||||
\(809\) | 6.01472 | + | 10.4178i | 0.211466 | + | 0.366270i | 0.952174 | − | 0.305558i | \(-0.0988428\pi\) |
−0.740707 | + | 0.671828i | \(0.765509\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 6.86396 | − | 11.8887i | 0.241026 | − | 0.417470i | −0.719981 | − | 0.693994i | \(-0.755849\pi\) |
0.961007 | + | 0.276524i | \(0.0891827\pi\) | |||||||
\(812\) | −2.58579 | − | 4.47871i | −0.0907433 | − | 0.157172i | ||||
\(813\) | −0.142136 | − | 0.246186i | −0.00498491 | − | 0.00863412i | ||||
\(814\) | 1.34315 | 0.0470772 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 3.62132 | − | 6.27231i | 0.126772 | − | 0.219575i | ||||
\(817\) | −24.0563 | + | 41.6668i | −0.841625 | + | 1.45774i | ||||
\(818\) | 4.27817 | + | 7.41002i | 0.149583 | + | 0.259085i | ||||
\(819\) | 2.24264 | − | 3.88437i | 0.0783642 | − | 0.135731i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 8.48528 | 0.296138 | 0.148069 | − | 0.988977i | \(-0.452694\pi\) | ||||
0.148069 | + | 0.988977i | \(0.452694\pi\) | |||||||
\(822\) | −1.62742 | −0.0567627 | ||||||||
\(823\) | 18.1066 | + | 31.3616i | 0.631156 | + | 1.09320i | 0.987316 | + | 0.158770i | \(0.0507528\pi\) |
−0.356159 | + | 0.934425i | \(0.615914\pi\) | |||||||
\(824\) | 1.64214 | − | 2.84426i | 0.0572065 | − | 0.0990846i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.349242 | − | 0.604906i | 0.0121517 | − | 0.0210474i | ||||
\(827\) | 18.4497 | − | 31.9559i | 0.641561 | − | 1.11122i | −0.343524 | − | 0.939144i | \(-0.611621\pi\) |
0.985084 | − | 0.172072i | \(-0.0550460\pi\) | |||||||
\(828\) | −10.3431 | + | 17.9149i | −0.359449 | + | 0.622584i | ||||
\(829\) | 38.4264 | 1.33460 | 0.667302 | − | 0.744787i | \(-0.267449\pi\) | ||||
0.667302 | + | 0.744787i | \(0.267449\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −2.92893 | − | 5.07306i | −0.101604 | − | 0.175982i | ||||
\(832\) | 7.98528 | − | 13.8309i | 0.276840 | − | 0.479501i | ||||
\(833\) | −39.7990 | −1.37895 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −26.1716 | −0.905163 | ||||||||
\(837\) | −12.0711 | − | 5.91359i | −0.417237 | − | 0.204404i | ||||
\(838\) | −11.5980 | −0.400646 | ||||||||
\(839\) | −14.6274 | −0.504995 | −0.252497 | − | 0.967598i | \(-0.581252\pi\) | ||||
−0.252497 | + | 0.967598i | \(0.581252\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 17.6274 | 0.607842 | ||||||||
\(842\) | −6.44975 | + | 11.1713i | −0.222273 | + | 0.384988i | ||||
\(843\) | 0.414214 | + | 0.717439i | 0.0142663 | + | 0.0247099i | ||||
\(844\) | 9.52082 | + | 16.4905i | 0.327720 | + | 0.567628i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 5.65685 | − | 9.79796i | 0.194487 | − | 0.336861i | ||||
\(847\) | 0.100505 | − | 0.174080i | 0.00345339 | − | 0.00598146i | ||||
\(848\) | 8.74264 | − | 15.1427i | 0.300224 | − | 0.520002i | ||||
\(849\) | 2.82843 | + | 4.89898i | 0.0970714 | + | 0.168133i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 2.00000 | + | 3.46410i | 0.0685591 | + | 0.118748i | ||||
\(852\) | 0.0538239 | 0.00184398 | ||||||||
\(853\) | 15.5147 | 0.531214 | 0.265607 | − | 0.964081i | \(-0.414428\pi\) | ||||
0.265607 | + | 0.964081i | \(0.414428\pi\) | |||||||
\(854\) | −0.242641 | − | 0.420266i | −0.00830299 | − | 0.0143812i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 9.84315 | + | 17.0488i | 0.336432 | + | 0.582717i | ||||
\(857\) | −9.74264 | + | 16.8747i | −0.332802 | + | 0.576430i | −0.983060 | − | 0.183283i | \(-0.941328\pi\) |
0.650258 | + | 0.759714i | \(0.274661\pi\) | |||||||
\(858\) | −1.06497 | + | 1.84458i | −0.0363575 | + | 0.0629731i | ||||
\(859\) | 24.6924 | − | 42.7685i | 0.842493 | − | 1.45924i | −0.0452869 | − | 0.998974i | \(-0.514420\pi\) |
0.887780 | − | 0.460267i | \(-0.152246\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −0.642136 | − | 1.11221i | −0.0218839 | − | 0.0379041i | ||||
\(862\) | −3.47056 | − | 6.01119i | −0.118208 | − | 0.204742i | ||||
\(863\) | −1.30761 | + | 2.26485i | −0.0445116 | + | 0.0770964i | −0.887423 | − | 0.460956i | \(-0.847507\pi\) |
0.842911 | + | 0.538053i | \(0.180840\pi\) | |||||||
\(864\) | −10.6569 | −0.362554 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 11.2304 | 0.381626 | ||||||||
\(867\) | −7.02944 | −0.238732 | ||||||||
\(868\) | −0.286797 | − | 4.20703i | −0.00973451 | − | 0.142796i | ||||
\(869\) | −21.9117 | −0.743303 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 6.20711 | + | 10.7510i | 0.210320 | + | 0.364285i | ||||
\(872\) | −17.1716 | −0.581503 | ||||||||
\(873\) | −7.31371 | + | 12.6677i | −0.247532 | + | 0.428737i | ||||
\(874\) | 3.65685 | + | 6.33386i | 0.123695 | + | 0.214246i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 1.38478 | 0.0467873 | ||||||||
\(877\) | 26.9142 | − | 46.6168i | 0.908828 | − | 1.57414i | 0.0931343 | − | 0.995654i | \(-0.470311\pi\) |
0.815694 | − | 0.578483i | \(-0.196355\pi\) | |||||||
\(878\) | 0.428932 | − | 0.742932i | 0.0144758 | − | 0.0250728i | ||||
\(879\) | −3.06497 | + | 5.30869i | −0.103379 | + | 0.179058i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −5.84315 | + | 10.1206i | −0.196861 | + | 0.340973i | −0.947509 | − | 0.319729i | \(-0.896408\pi\) |
0.750648 | + | 0.660702i | \(0.229741\pi\) | |||||||
\(882\) | 4.00000 | + | 6.92820i | 0.134687 | + | 0.233285i | ||||
\(883\) | 30.2843 | 1.01915 | 0.509573 | − | 0.860427i | \(-0.329803\pi\) | ||||
0.509573 | + | 0.860427i | \(0.329803\pi\) | |||||||
\(884\) | −40.7990 | −1.37222 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0.985281 | − | 1.70656i | 0.0331012 | − | 0.0573329i | ||||
\(887\) | −25.6630 | − | 44.4495i | −0.861678 | − | 1.49247i | −0.870309 | − | 0.492507i | \(-0.836081\pi\) |
0.00863117 | − | 0.999963i | \(-0.497253\pi\) | |||||||
\(888\) | −0.328427 | + | 0.568852i | −0.0110213 | + | 0.0190894i | ||||
\(889\) | 1.84315 | − | 3.19242i | 0.0618171 | − | 0.107070i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 24.2721 | 0.813145 | ||||||||
\(892\) | 21.6924 | + | 37.5723i | 0.726315 | + | 1.25801i | ||||
\(893\) | 21.3137 | + | 36.9164i | 0.713236 | + | 1.23536i | ||||
\(894\) | −0.0857864 | + | 0.148586i | −0.00286913 | + | 0.00496947i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −2.18629 | − | 3.78677i | −0.0730389 | − | 0.126507i | ||||
\(897\) | −6.34315 | −0.211791 | ||||||||
\(898\) | 16.8284 | 0.561572 | ||||||||
\(899\) | 34.1421 | + | 16.7262i | 1.13870 | + | 0.557849i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −33.9706 | −1.13172 | ||||||||
\(902\) | −5.02691 | − | 8.70687i | −0.167378 | − | 0.289907i | ||||
\(903\) | −1.87006 | −0.0622316 | ||||||||
\(904\) | 13.2071 | − | 22.8754i | 0.439262 | − | 0.760824i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −0.455844 | − | 0.789545i | −0.0151444 | − | 0.0262309i | ||||
\(907\) | −32.6863 | −1.08533 | −0.542665 | − | 0.839949i | \(-0.682585\pi\) | ||||
−0.542665 | + | 0.839949i | \(0.682585\pi\) | |||||||
\(908\) | 16.8345 | − | 29.1583i | 0.558673 | − | 0.967651i | ||||
\(909\) | −12.0000 | + | 20.7846i | −0.398015 | + | 0.689382i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −0.479185 | − | 0.829972i | −0.0158761 | − | 0.0274982i | 0.857978 | − | 0.513686i | \(-0.171720\pi\) |
−0.873854 | + | 0.486188i | \(0.838387\pi\) | |||||||
\(912\) | 2.74264 | − | 4.75039i | 0.0908179 | − | 0.157301i | ||||
\(913\) | −16.3284 | − | 28.2817i | −0.540392 | − | 0.935987i | ||||
\(914\) | −12.8873 | −0.426274 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −5.01472 | − | 8.68575i | −0.165691 | − | 0.286985i | ||||
\(917\) | 2.74264 | − | 4.75039i | 0.0905700 | − | 0.156872i | ||||
\(918\) | 2.91421 | + | 5.04757i | 0.0961834 | + | 0.166595i | ||||
\(919\) | 17.4497 | − | 30.2238i | 0.575614 | − | 0.996993i | −0.420361 | − | 0.907357i | \(-0.638096\pi\) |
0.995975 | − | 0.0896356i | \(-0.0285703\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 2.32843 | − | 4.03295i | 0.0767243 | − | 0.132890i | ||||
\(922\) | 0.887302 | 0.0292217 | ||||||||
\(923\) | −0.136039 | − | 0.235626i | −0.00447778 | − | 0.00775574i | ||||
\(924\) | −0.508622 | − | 0.880959i | −0.0167324 | − | 0.0289814i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −3.71573 | −0.122106 | ||||||||
\(927\) | −2.92893 | − | 5.07306i | −0.0961988 | − | 0.166621i | ||||
\(928\) | 30.1421 | 0.989464 | ||||||||
\(929\) | 7.51472 | 0.246550 | 0.123275 | − | 0.992373i | \(-0.460660\pi\) | ||||
0.123275 | + | 0.992373i | \(0.460660\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −30.1421 | −0.987869 | ||||||||
\(932\) | −16.7696 | −0.549305 | ||||||||
\(933\) | 2.34315 | + | 4.05845i | 0.0767111 | + | 0.132868i | ||||
\(934\) | −3.31371 | −0.108428 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 8.58579 | + | 14.8710i | 0.280635 | + | 0.486074i | ||||
\(937\) | 7.84315 | + | 13.5847i | 0.256224 | + | 0.443794i | 0.965227 | − | 0.261412i | \(-0.0841881\pi\) |
−0.709003 | + | 0.705206i | \(0.750855\pi\) | |||||||
\(938\) | 0.556349 | 0.0181654 | ||||||||
\(939\) | 0.378680 | − | 0.655892i | 0.0123577 | − | 0.0214042i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 17.5000 | − | 30.3109i | 0.570484 | − | 0.988107i | −0.426033 | − | 0.904708i | \(-0.640089\pi\) |
0.996516 | − | 0.0833989i | \(-0.0265776\pi\) | |||||||
\(942\) | 0.786797 | + | 1.36277i | 0.0256352 | + | 0.0444015i | ||||
\(943\) | 14.9706 | − | 25.9298i | 0.487509 | − | 0.844390i | ||||
\(944\) | −6.10660 | − | 10.5769i | −0.198753 | − | 0.344250i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −14.6396 | −0.475975 | ||||||||
\(947\) | 9.55025 | + | 16.5415i | 0.310342 | + | 0.537527i | 0.978436 | − | 0.206549i | \(-0.0662233\pi\) |
−0.668095 | + | 0.744076i | \(0.732890\pi\) | |||||||
\(948\) | 2.55887 | − | 4.43210i | 0.0831084 | − | 0.143948i | ||||
\(949\) | −3.50000 | − | 6.06218i | −0.113615 | − | 0.196787i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 1.62132 | − | 2.80821i | 0.0525749 | − | 0.0910624i | ||||
\(952\) | −1.91421 | + | 3.31552i | −0.0620400 | + | 0.107456i | ||||
\(953\) | −3.51472 | −0.113853 | −0.0569265 | − | 0.998378i | \(-0.518130\pi\) | ||||
−0.0569265 | + | 0.998378i | \(0.518130\pi\) | |||||||
\(954\) | 3.41421 | + | 5.91359i | 0.110539 | + | 0.191460i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −19.4203 | + | 33.6370i | −0.628098 | + | 1.08790i | ||||
\(957\) | 9.17157 | 0.296475 | ||||||||
\(958\) | −3.25736 | − | 5.64191i | −0.105241 | − | 0.182282i | ||||
\(959\) | −3.92893 | −0.126872 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 19.0000 | + | 24.4949i | 0.612903 | + | 0.790158i | ||||
\(962\) | 1.58579 | 0.0511278 | ||||||||
\(963\) | 35.1127 | 1.13149 | ||||||||
\(964\) | 12.1985 | + | 21.1284i | 0.392887 | + | 0.680500i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −0.142136 | + | 0.246186i | −0.00457314 | + | 0.00792091i | ||||
\(967\) | −7.72183 | − | 13.3746i | −0.248317 | − | 0.430098i | 0.714742 | − | 0.699388i | \(-0.246544\pi\) |
−0.963059 | + | 0.269290i | \(0.913211\pi\) | |||||||
\(968\) | 0.384776 | + | 0.666452i | 0.0123672 | + | 0.0214206i | ||||
\(969\) | −10.6569 | −0.342347 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 0.349242 | − | 0.604906i | 0.0112077 | − | 0.0194123i | −0.860367 | − | 0.509675i | \(-0.829766\pi\) |
0.871575 | + | 0.490262i | \(0.163099\pi\) | |||||||
\(972\) | −9.45584 | + | 16.3780i | −0.303296 | + | 0.525325i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −4.01472 | + | 6.95370i | −0.128640 | + | 0.222811i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −8.48528 | −0.271607 | ||||||||
\(977\) | 0.485281 | 0.0155255 | 0.00776276 | − | 0.999970i | \(-0.497529\pi\) | ||||
0.00776276 | + | 0.999970i | \(0.497529\pi\) | |||||||
\(978\) | 1.79899 | + | 3.11594i | 0.0575254 | + | 0.0996368i | ||||
\(979\) | −7.27208 | + | 12.5956i | −0.232417 | + | 0.402557i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −15.3137 | + | 26.5241i | −0.488929 | + | 0.846850i | ||||
\(982\) | 0.328427 | − | 0.568852i | 0.0104805 | − | 0.0181528i | ||||
\(983\) | −19.4203 | + | 33.6370i | −0.619412 | + | 1.07285i | 0.370182 | + | 0.928959i | \(0.379295\pi\) |
−0.989593 | + | 0.143893i | \(0.954038\pi\) | |||||||
\(984\) | 4.91674 | 0.156740 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −8.24264 | − | 14.2767i | −0.262499 | − | 0.454662i | ||||
\(987\) | −0.828427 | + | 1.43488i | −0.0263691 | + | 0.0456727i | ||||
\(988\) | −30.8995 | −0.983044 | ||||||||
\(989\) | −21.7990 | − | 37.7570i | −0.693168 | − | 1.20060i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 47.9411 | 1.52290 | 0.761450 | − | 0.648224i | \(-0.224488\pi\) | ||||
0.761450 | + | 0.648224i | \(0.224488\pi\) | |||||||
\(992\) | 22.0711 | + | 10.8126i | 0.700757 | + | 0.343299i | ||||
\(993\) | −3.82843 | −0.121491 | ||||||||
\(994\) | −0.0121933 | −0.000386748 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 7.62742 | 0.241684 | ||||||||
\(997\) | 16.2990 | − | 28.2307i | 0.516194 | − | 0.894075i | −0.483629 | − | 0.875273i | \(-0.660682\pi\) |
0.999823 | − | 0.0188015i | \(-0.00598505\pi\) | |||||||
\(998\) | −0.458369 | − | 0.793919i | −0.0145094 | − | 0.0251311i | ||||
\(999\) | 1.20711 | + | 2.09077i | 0.0381912 | + | 0.0661490i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))