Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [775,2,Mod(149,775)]
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([3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("775.149");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 775 = 5^{2} \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 775.o (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.18840615665\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{24})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 31) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 749.3 | ||
Root | \(-0.965926 - 0.258819i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 775.749 |
Dual form | 775.2.o.d.149.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/775\mathbb{Z}\right)^\times\).
\(n\) | \(251\) | \(652\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.414214i | 0.292893i | 0.989219 | + | 0.146447i | \(0.0467837\pi\) | ||||
−0.989219 | + | 0.146447i | \(0.953216\pi\) | |||||||
\(3\) | 0.358719 | + | 0.207107i | 0.207107 | + | 0.119573i | 0.599966 | − | 0.800025i | \(-0.295181\pi\) |
−0.392859 | + | 0.919599i | \(0.628514\pi\) | |||||||
\(4\) | 1.82843 | 0.914214 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.0857864 | + | 0.148586i | −0.0350222 | + | 0.0606602i | ||||
\(7\) | 0.358719 | + | 0.207107i | 0.135583 | + | 0.0782790i | 0.566257 | − | 0.824228i | \(-0.308391\pi\) |
−0.430674 | + | 0.902507i | \(0.641724\pi\) | |||||||
\(8\) | 1.58579i | 0.560660i | ||||||||
\(9\) | −1.41421 | − | 2.44949i | −0.471405 | − | 0.816497i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.62132 | − | 2.80821i | −0.488846 | − | 0.846707i | 0.511071 | − | 0.859538i | \(-0.329249\pi\) |
−0.999918 | + | 0.0128314i | \(0.995916\pi\) | |||||||
\(12\) | 0.655892 | + | 0.378680i | 0.189340 | + | 0.109315i | ||||
\(13\) | 3.31552 | − | 1.91421i | 0.919558 | − | 0.530907i | 0.0360643 | − | 0.999349i | \(-0.488518\pi\) |
0.883494 | + | 0.468442i | \(0.155185\pi\) | |||||||
\(14\) | −0.0857864 | + | 0.148586i | −0.0229274 | + | 0.0397114i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.00000 | 0.750000 | ||||||||
\(17\) | 5.04757 | + | 2.91421i | 1.22421 | + | 0.706801i | 0.965814 | − | 0.259237i | \(-0.0834711\pi\) |
0.258401 | + | 0.966038i | \(0.416804\pi\) | |||||||
\(18\) | 1.01461 | − | 0.585786i | 0.239146 | − | 0.138071i | ||||
\(19\) | 2.20711 | − | 3.82282i | 0.506345 | − | 0.877015i | −0.493628 | − | 0.869673i | \(-0.664330\pi\) |
0.999973 | − | 0.00734216i | \(-0.00233710\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.0857864 | + | 0.148586i | 0.0187201 | + | 0.0324242i | ||||
\(22\) | 1.16320 | − | 0.671573i | 0.247995 | − | 0.143180i | ||||
\(23\) | 4.00000i | 0.834058i | 0.908893 | + | 0.417029i | \(0.136929\pi\) | ||||
−0.908893 | + | 0.417029i | \(0.863071\pi\) | |||||||
\(24\) | −0.328427 | + | 0.568852i | −0.0670399 | + | 0.116117i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0.792893 | + | 1.37333i | 0.155499 | + | 0.269332i | ||||
\(27\) | − | 2.41421i | − | 0.464616i | ||||||
\(28\) | 0.655892 | + | 0.378680i | 0.123952 | + | 0.0715637i | ||||
\(29\) | 6.82843 | 1.26801 | 0.634004 | − | 0.773330i | \(-0.281410\pi\) | ||||
0.634004 | + | 0.773330i | \(0.281410\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.00000 | + | 2.44949i | −0.898027 | + | 0.439941i | ||||
\(32\) | 4.41421i | 0.780330i | ||||||||
\(33\) | − | 1.34315i | − | 0.233812i | ||||||
\(34\) | −1.20711 | + | 2.09077i | −0.207017 | + | 0.358564i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −2.58579 | − | 4.47871i | −0.430964 | − | 0.746452i | ||||
\(37\) | −0.866025 | − | 0.500000i | −0.142374 | − | 0.0821995i | 0.427121 | − | 0.904194i | \(-0.359528\pi\) |
−0.569495 | + | 0.821995i | \(0.692861\pi\) | |||||||
\(38\) | 1.58346 | + | 0.914214i | 0.256872 | + | 0.148305i | ||||
\(39\) | 1.58579 | 0.253929 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.74264 | + | 6.48244i | 0.584502 | + | 1.01239i | 0.994937 | + | 0.100498i | \(0.0320435\pi\) |
−0.410435 | + | 0.911890i | \(0.634623\pi\) | |||||||
\(42\) | −0.0615465 | + | 0.0355339i | −0.00949684 | + | 0.00548300i | ||||
\(43\) | −9.43924 | − | 5.44975i | −1.43947 | − | 0.831079i | −0.441658 | − | 0.897184i | \(-0.645609\pi\) |
−0.997813 | + | 0.0661049i | \(0.978943\pi\) | |||||||
\(44\) | −2.96447 | − | 5.13461i | −0.446910 | − | 0.774071i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.65685 | −0.244290 | ||||||||
\(47\) | 9.65685i | 1.40860i | 0.709904 | + | 0.704298i | \(0.248738\pi\) | ||||
−0.709904 | + | 0.704298i | \(0.751262\pi\) | |||||||
\(48\) | 1.07616 | + | 0.621320i | 0.155330 | + | 0.0896799i | ||||
\(49\) | −3.41421 | − | 5.91359i | −0.487745 | − | 0.844799i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.20711 | + | 2.09077i | 0.169029 | + | 0.292766i | ||||
\(52\) | 6.06218 | − | 3.50000i | 0.840673 | − | 0.485363i | ||||
\(53\) | −5.04757 | + | 2.91421i | −0.693337 | + | 0.400298i | −0.804861 | − | 0.593464i | \(-0.797760\pi\) |
0.111524 | + | 0.993762i | \(0.464427\pi\) | |||||||
\(54\) | 1.00000 | 0.136083 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −0.328427 | + | 0.568852i | −0.0438879 | + | 0.0760161i | ||||
\(57\) | 1.58346 | − | 0.914214i | 0.209735 | − | 0.121091i | ||||
\(58\) | 2.82843i | 0.371391i | ||||||||
\(59\) | 2.03553 | − | 3.52565i | 0.265004 | − | 0.459000i | −0.702561 | − | 0.711624i | \(-0.747960\pi\) |
0.967565 | + | 0.252624i | \(0.0812934\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.82843 | −0.362143 | −0.181071 | − | 0.983470i | \(-0.557957\pi\) | ||||
−0.181071 | + | 0.983470i | \(0.557957\pi\) | |||||||
\(62\) | −1.01461 | − | 2.07107i | −0.128856 | − | 0.263026i | ||||
\(63\) | − | 1.17157i | − | 0.147604i | ||||||
\(64\) | 4.17157 | 0.521447 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.556349 | 0.0684819 | ||||||||
\(67\) | 2.80821 | − | 1.62132i | 0.343077 | − | 0.198076i | −0.318555 | − | 0.947904i | \(-0.603197\pi\) |
0.661632 | + | 0.749829i | \(0.269864\pi\) | |||||||
\(68\) | 9.22911 | + | 5.32843i | 1.11919 | + | 0.646167i | ||||
\(69\) | −0.828427 | + | 1.43488i | −0.0997309 | + | 0.172739i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.0355339 | − | 0.0615465i | −0.00421710 | − | 0.00730423i | 0.863909 | − | 0.503648i | \(-0.168009\pi\) |
−0.868126 | + | 0.496343i | \(0.834676\pi\) | |||||||
\(72\) | 3.88437 | − | 2.24264i | 0.457777 | − | 0.264298i | ||||
\(73\) | 1.58346 | − | 0.914214i | 0.185330 | − | 0.107001i | −0.404464 | − | 0.914554i | \(-0.632542\pi\) |
0.589795 | + | 0.807553i | \(0.299209\pi\) | |||||||
\(74\) | 0.207107 | − | 0.358719i | 0.0240757 | − | 0.0417003i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.03553 | − | 6.98975i | 0.462907 | − | 0.801779i | ||||
\(77\) | − | 1.34315i | − | 0.153066i | ||||||
\(78\) | 0.656854i | 0.0743741i | ||||||||
\(79\) | −3.37868 | + | 5.85204i | −0.380131 | + | 0.658406i | −0.991081 | − | 0.133263i | \(-0.957454\pi\) |
0.610950 | + | 0.791670i | \(0.290788\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −3.74264 | + | 6.48244i | −0.415849 | + | 0.720272i | ||||
\(82\) | −2.68512 | + | 1.55025i | −0.296521 | + | 0.171197i | ||||
\(83\) | 8.72180 | − | 5.03553i | 0.957342 | − | 0.552722i | 0.0619880 | − | 0.998077i | \(-0.480256\pi\) |
0.895354 | + | 0.445355i | \(0.146923\pi\) | |||||||
\(84\) | 0.156854 | + | 0.271680i | 0.0171142 | + | 0.0296427i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 2.25736 | − | 3.90986i | 0.243417 | − | 0.421611i | ||||
\(87\) | 2.44949 | + | 1.41421i | 0.262613 | + | 0.151620i | ||||
\(88\) | 4.45322 | − | 2.57107i | 0.474715 | − | 0.274077i | ||||
\(89\) | −4.48528 | −0.475439 | −0.237719 | − | 0.971334i | \(-0.576400\pi\) | ||||
−0.237719 | + | 0.971334i | \(0.576400\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.58579 | 0.166236 | ||||||||
\(92\) | 7.31371i | 0.762507i | ||||||||
\(93\) | −2.30090 | − | 0.156854i | −0.238593 | − | 0.0162650i | ||||
\(94\) | −4.00000 | −0.412568 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −0.914214 | + | 1.58346i | −0.0933065 | + | 0.161612i | ||||
\(97\) | 5.17157i | 0.525094i | 0.964919 | + | 0.262547i | \(0.0845624\pi\) | ||||
−0.964919 | + | 0.262547i | \(0.915438\pi\) | |||||||
\(98\) | 2.44949 | − | 1.41421i | 0.247436 | − | 0.142857i | ||||
\(99\) | −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 | \(0.638727\pi\) | |||||||
\(102\) | −0.866025 | + | 0.500000i | −0.0857493 | + | 0.0495074i | ||||
\(103\) | −1.79360 | + | 1.03553i | −0.176728 | + | 0.102034i | −0.585755 | − | 0.810488i | \(-0.699202\pi\) |
0.409026 | + | 0.912523i | \(0.365868\pi\) | |||||||
\(104\) | 3.03553 | + | 5.25770i | 0.297659 | + | 0.515560i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.20711 | − | 2.09077i | −0.117245 | − | 0.203074i | ||||
\(107\) | −10.7510 | − | 6.20711i | −1.03934 | − | 0.600064i | −0.119694 | − | 0.992811i | \(-0.538191\pi\) |
−0.919646 | + | 0.392747i | \(0.871525\pi\) | |||||||
\(108\) | − | 4.41421i | − | 0.424758i | ||||||
\(109\) | 10.8284 | 1.03718 | 0.518588 | − | 0.855024i | \(-0.326458\pi\) | ||||
0.518588 | + | 0.855024i | \(0.326458\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.207107 | − | 0.358719i | −0.0196577 | − | 0.0340481i | ||||
\(112\) | 1.07616 | + | 0.621320i | 0.101687 | + | 0.0587093i | ||||
\(113\) | −14.4253 | + | 8.32843i | −1.35701 | + | 0.783473i | −0.989220 | − | 0.146435i | \(-0.953220\pi\) |
−0.367794 | + | 0.929907i | \(0.619887\pi\) | |||||||
\(114\) | 0.378680 | + | 0.655892i | 0.0354666 | + | 0.0614300i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 12.4853 | 1.15923 | ||||||||
\(117\) | −9.37769 | − | 5.41421i | −0.866968 | − | 0.500544i | ||||
\(118\) | 1.46037 | + | 0.843146i | 0.134438 | + | 0.0776179i | ||||
\(119\) | 1.20711 | + | 2.09077i | 0.110655 | + | 0.191661i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.242641 | − | 0.420266i | 0.0220582 | − | 0.0382060i | ||||
\(122\) | − | 1.17157i | − | 0.106069i | ||||||
\(123\) | 3.10051i | 0.279563i | ||||||||
\(124\) | −9.14214 | + | 4.47871i | −0.820988 | + | 0.402200i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0.485281 | 0.0432323 | ||||||||
\(127\) | −7.70719 | − | 4.44975i | −0.683902 | − | 0.394851i | 0.117421 | − | 0.993082i | \(-0.462537\pi\) |
−0.801324 | + | 0.598231i | \(0.795871\pi\) | |||||||
\(128\) | 10.5563i | 0.933058i | ||||||||
\(129\) | −2.25736 | − | 3.90986i | −0.198749 | − | 0.344244i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 6.62132 | − | 11.4685i | 0.578507 | − | 1.00200i | −0.417143 | − | 0.908841i | \(-0.636969\pi\) |
0.995651 | − | 0.0931636i | \(-0.0296980\pi\) | |||||||
\(132\) | − | 2.45584i | − | 0.213754i | ||||||
\(133\) | 1.58346 | − | 0.914214i | 0.137304 | − | 0.0792724i | ||||
\(134\) | 0.671573 | + | 1.16320i | 0.0580151 | + | 0.100485i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −4.62132 | + | 8.00436i | −0.396275 | + | 0.686368i | ||||
\(137\) | 8.21449 | − | 4.74264i | 0.701812 | − | 0.405191i | −0.106210 | − | 0.994344i | \(-0.533872\pi\) |
0.808022 | + | 0.589153i | \(0.200538\pi\) | |||||||
\(138\) | −0.594346 | − | 0.343146i | −0.0505941 | − | 0.0292105i | ||||
\(139\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −2.00000 | + | 3.46410i | −0.168430 | + | 0.291730i | ||||
\(142\) | 0.0254934 | − | 0.0147186i | 0.00213936 | − | 0.00123516i | ||||
\(143\) | −10.7510 | − | 6.20711i | −0.899046 | − | 0.519064i | ||||
\(144\) | −4.24264 | − | 7.34847i | −0.353553 | − | 0.612372i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0.378680 | + | 0.655892i | 0.0313398 | + | 0.0542820i | ||||
\(147\) | − | 2.82843i | − | 0.233285i | ||||||
\(148\) | −1.58346 | − | 0.914214i | −0.130160 | − | 0.0751479i | ||||
\(149\) | 0.500000 | − | 0.866025i | 0.0409616 | − | 0.0709476i | −0.844818 | − | 0.535054i | \(-0.820291\pi\) |
0.885779 | + | 0.464107i | \(0.153625\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.31371 | 0.432423 | 0.216212 | − | 0.976346i | \(-0.430630\pi\) | ||||
0.216212 | + | 0.976346i | \(0.430630\pi\) | |||||||
\(152\) | 6.06218 | + | 3.50000i | 0.491708 | + | 0.283887i | ||||
\(153\) | − | 16.4853i | − | 1.33276i | ||||||
\(154\) | 0.556349 | 0.0448319 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 2.89949 | 0.232145 | ||||||||
\(157\) | 9.17157i | 0.731971i | 0.930621 | + | 0.365986i | \(0.119268\pi\) | ||||
−0.930621 | + | 0.365986i | \(0.880732\pi\) | |||||||
\(158\) | −2.42400 | − | 1.39949i | −0.192843 | − | 0.111338i | ||||
\(159\) | −2.41421 | −0.191460 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.828427 | + | 1.43488i | −0.0652892 | + | 0.113084i | ||||
\(162\) | −2.68512 | − | 1.55025i | −0.210963 | − | 0.121799i | ||||
\(163\) | − | 20.9706i | − | 1.64254i | −0.570539 | − | 0.821271i | \(-0.693266\pi\) | ||
0.570539 | − | 0.821271i | \(-0.306734\pi\) | |||||||
\(164\) | 6.84315 | + | 11.8527i | 0.534360 | + | 0.925539i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.08579 | + | 3.61269i | 0.161888 | + | 0.280399i | ||||
\(167\) | −19.5344 | − | 11.2782i | −1.51162 | − | 0.872731i | −0.999908 | − | 0.0135714i | \(-0.995680\pi\) |
−0.511707 | − | 0.859160i | \(-0.670987\pi\) | |||||||
\(168\) | −0.235626 | + | 0.136039i | −0.0181790 | + | 0.0104956i | ||||
\(169\) | 0.828427 | − | 1.43488i | 0.0637252 | − | 0.110375i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −12.4853 | −0.954773 | ||||||||
\(172\) | −17.2590 | − | 9.96447i | −1.31598 | − | 0.759783i | ||||
\(173\) | −7.19988 | + | 4.15685i | −0.547397 | + | 0.316040i | −0.748071 | − | 0.663618i | \(-0.769020\pi\) |
0.200674 | + | 0.979658i | \(0.435687\pi\) | |||||||
\(174\) | −0.585786 | + | 1.01461i | −0.0444084 | + | 0.0769175i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −4.86396 | − | 8.42463i | −0.366635 | − | 0.635030i | ||||
\(177\) | 1.46037 | − | 0.843146i | 0.109768 | − | 0.0633747i | ||||
\(178\) | − | 1.85786i | − | 0.139253i | ||||||
\(179\) | −7.62132 | + | 13.2005i | −0.569644 | + | 0.986653i | 0.426957 | + | 0.904272i | \(0.359586\pi\) |
−0.996601 | + | 0.0823807i | \(0.973748\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −6.15685 | − | 10.6640i | −0.457635 | − | 0.792648i | 0.541200 | − | 0.840894i | \(-0.317970\pi\) |
−0.998835 | + | 0.0482461i | \(0.984637\pi\) | |||||||
\(182\) | 0.656854i | 0.0486893i | ||||||||
\(183\) | −1.01461 | − | 0.585786i | −0.0750023 | − | 0.0433026i | ||||
\(184\) | −6.34315 | −0.467623 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0.0649712 | − | 0.953065i | 0.00476392 | − | 0.0698821i | ||||
\(187\) | − | 18.8995i | − | 1.38207i | ||||||
\(188\) | 17.6569i | 1.28776i | ||||||||
\(189\) | 0.500000 | − | 0.866025i | 0.0363696 | − | 0.0629941i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 10.4497 | + | 18.0995i | 0.756117 | + | 1.30963i | 0.944817 | + | 0.327599i | \(0.106239\pi\) |
−0.188700 | + | 0.982035i | \(0.560427\pi\) | |||||||
\(192\) | 1.49642 | + | 0.863961i | 0.107995 | + | 0.0623510i | ||||
\(193\) | 6.18527 | + | 3.57107i | 0.445226 | + | 0.257051i | 0.705812 | − | 0.708400i | \(-0.250582\pi\) |
−0.260586 | + | 0.965451i | \(0.583916\pi\) | |||||||
\(194\) | −2.14214 | −0.153796 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −6.24264 | − | 10.8126i | −0.445903 | − | 0.772326i | ||||
\(197\) | −11.6786 | + | 6.74264i | −0.832066 | + | 0.480393i | −0.854559 | − | 0.519354i | \(-0.826173\pi\) |
0.0224938 | + | 0.999747i | \(0.492839\pi\) | |||||||
\(198\) | −3.29002 | − | 1.89949i | −0.233812 | − | 0.134991i | ||||
\(199\) | 9.20711 | + | 15.9472i | 0.652674 | + | 1.13047i | 0.982471 | + | 0.186413i | \(0.0596864\pi\) |
−0.329797 | + | 0.944052i | \(0.606980\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 1.34315 | 0.0947382 | ||||||||
\(202\) | − | 3.51472i | − | 0.247295i | ||||||
\(203\) | 2.44949 | + | 1.41421i | 0.171920 | + | 0.0992583i | ||||
\(204\) | 2.20711 | + | 3.82282i | 0.154528 | + | 0.267651i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −0.428932 | − | 0.742932i | −0.0298851 | − | 0.0517625i | ||||
\(207\) | 9.79796 | − | 5.65685i | 0.681005 | − | 0.393179i | ||||
\(208\) | 9.94655 | − | 5.74264i | 0.689669 | − | 0.398180i | ||||
\(209\) | −14.3137 | −0.990100 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.20711 | + | 9.01897i | −0.358472 | + | 0.620892i | −0.987706 | − | 0.156324i | \(-0.950035\pi\) |
0.629234 | + | 0.777216i | \(0.283369\pi\) | |||||||
\(212\) | −9.22911 | + | 5.32843i | −0.633858 | + | 0.365958i | ||||
\(213\) | − | 0.0294373i | − | 0.00201701i | ||||||
\(214\) | 2.57107 | − | 4.45322i | 0.175755 | − | 0.304416i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 3.82843 | 0.260491 | ||||||||
\(217\) | −2.30090 | − | 0.156854i | −0.156195 | − | 0.0106480i | ||||
\(218\) | 4.48528i | 0.303782i | ||||||||
\(219\) | 0.757359 | 0.0511776 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 22.3137 | 1.50098 | ||||||||
\(222\) | 0.148586 | − | 0.0857864i | 0.00997247 | − | 0.00575761i | ||||
\(223\) | −20.5490 | − | 11.8640i | −1.37606 | − | 0.794470i | −0.384379 | − | 0.923175i | \(-0.625584\pi\) |
−0.991683 | + | 0.128706i | \(0.958918\pi\) | |||||||
\(224\) | −0.914214 | + | 1.58346i | −0.0610835 | + | 0.105800i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −3.44975 | − | 5.97514i | −0.229474 | − | 0.397460i | ||||
\(227\) | −15.9472 | + | 9.20711i | −1.05845 | + | 0.611097i | −0.925003 | − | 0.379959i | \(-0.875938\pi\) |
−0.133448 | + | 0.991056i | \(0.542605\pi\) | |||||||
\(228\) | 2.89525 | − | 1.67157i | 0.191743 | − | 0.110703i | ||||
\(229\) | −2.74264 | + | 4.75039i | −0.181239 | + | 0.313915i | −0.942303 | − | 0.334762i | \(-0.891344\pi\) |
0.761064 | + | 0.648677i | \(0.224677\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.278175 | − | 0.481813i | 0.0183025 | − | 0.0317009i | ||||
\(232\) | 10.8284i | 0.710921i | ||||||||
\(233\) | 9.17157i | 0.600850i | 0.953805 | + | 0.300425i | \(0.0971285\pi\) | ||||
−0.953805 | + | 0.300425i | \(0.902872\pi\) | |||||||
\(234\) | 2.24264 | − | 3.88437i | 0.146606 | − | 0.253929i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 3.72183 | − | 6.44639i | 0.242270 | − | 0.419624i | ||||
\(237\) | −2.42400 | + | 1.39949i | −0.157455 | + | 0.0909070i | ||||
\(238\) | −0.866025 | + | 0.500000i | −0.0561361 | + | 0.0324102i | ||||
\(239\) | −10.6213 | − | 18.3967i | −0.687036 | − | 1.18998i | −0.972792 | − | 0.231679i | \(-0.925578\pi\) |
0.285756 | − | 0.958302i | \(-0.407755\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.67157 | + | 11.5555i | −0.429754 | + | 0.744355i | −0.996851 | − | 0.0792954i | \(-0.974733\pi\) |
0.567097 | + | 0.823651i | \(0.308066\pi\) | |||||||
\(242\) | 0.174080 | + | 0.100505i | 0.0111903 | + | 0.00646071i | ||||
\(243\) | −8.95743 | + | 5.17157i | −0.574619 | + | 0.331757i | ||||
\(244\) | −5.17157 | −0.331076 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −1.28427 | −0.0818821 | ||||||||
\(247\) | − | 16.8995i | − | 1.07529i | ||||||
\(248\) | −3.88437 | − | 7.92893i | −0.246658 | − | 0.503488i | ||||
\(249\) | 4.17157 | 0.264363 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −3.20711 | + | 5.55487i | −0.202431 | + | 0.350620i | −0.949311 | − | 0.314338i | \(-0.898217\pi\) |
0.746880 | + | 0.664958i | \(0.231551\pi\) | |||||||
\(252\) | − | 2.14214i | − | 0.134942i | ||||||
\(253\) | 11.2328 | − | 6.48528i | 0.706202 | − | 0.407726i | ||||
\(254\) | 1.84315 | − | 3.19242i | 0.115649 | − | 0.200310i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 3.97056 | 0.248160 | ||||||||
\(257\) | 19.3242 | − | 11.1569i | 1.20541 | − | 0.695945i | 0.243659 | − | 0.969861i | \(-0.421652\pi\) |
0.961754 | + | 0.273915i | \(0.0883189\pi\) | |||||||
\(258\) | 1.61952 | − | 0.935029i | 0.100827 | − | 0.0582124i | ||||
\(259\) | −0.207107 | − | 0.358719i | −0.0128690 | − | 0.0222897i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −9.65685 | − | 16.7262i | −0.597744 | − | 1.03532i | ||||
\(262\) | 4.75039 | + | 2.74264i | 0.293480 | + | 0.169441i | ||||
\(263\) | 23.3137i | 1.43758i | 0.695225 | + | 0.718792i | \(0.255305\pi\) | ||||
−0.695225 | + | 0.718792i | \(0.744695\pi\) | |||||||
\(264\) | 2.12994 | 0.131089 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0.378680 | + | 0.655892i | 0.0232183 | + | 0.0402153i | ||||
\(267\) | −1.60896 | − | 0.928932i | −0.0984666 | − | 0.0568497i | ||||
\(268\) | 5.13461 | − | 2.96447i | 0.313646 | − | 0.181084i | ||||
\(269\) | −13.0858 | − | 22.6652i | −0.797854 | − | 1.38192i | −0.921011 | − | 0.389537i | \(-0.872635\pi\) |
0.123156 | − | 0.992387i | \(-0.460698\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −0.686292 | −0.0416892 | −0.0208446 | − | 0.999783i | \(-0.506636\pi\) | ||||
−0.0208446 | + | 0.999783i | \(0.506636\pi\) | |||||||
\(272\) | 15.1427 | + | 8.74264i | 0.918161 | + | 0.530100i | ||||
\(273\) | 0.568852 | + | 0.328427i | 0.0344285 | + | 0.0198773i | ||||
\(274\) | 1.96447 | + | 3.40256i | 0.118678 | + | 0.205556i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −1.51472 | + | 2.62357i | −0.0911753 | + | 0.157920i | ||||
\(277\) | 14.1421i | 0.849719i | 0.905259 | + | 0.424859i | \(0.139676\pi\) | ||||
−0.905259 | + | 0.424859i | \(0.860324\pi\) | |||||||
\(278\) | 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 | \(0.481000\pi\) | |||||||
\(282\) | −1.43488 | − | 0.828427i | −0.0854457 | − | 0.0493321i | ||||
\(283\) | 13.6569i | 0.811816i | 0.913914 | + | 0.405908i | \(0.133045\pi\) | ||||
−0.913914 | + | 0.405908i | \(0.866955\pi\) | |||||||
\(284\) | −0.0649712 | − | 0.112533i | −0.00385533 | − | 0.00667763i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.57107 | − | 4.45322i | 0.152030 | − | 0.263324i | ||||
\(287\) | 3.10051i | 0.183017i | ||||||||
\(288\) | 10.8126 | − | 6.24264i | 0.637137 | − | 0.367851i | ||||
\(289\) | 8.48528 | + | 14.6969i | 0.499134 | + | 0.864526i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −1.07107 | + | 1.85514i | −0.0627871 | + | 0.108750i | ||||
\(292\) | 2.89525 | − | 1.67157i | 0.169432 | − | 0.0978214i | ||||
\(293\) | 12.8163 | + | 7.39949i | 0.748736 | + | 0.432283i | 0.825237 | − | 0.564786i | \(-0.191041\pi\) |
−0.0765008 | + | 0.997070i | \(0.524375\pi\) | |||||||
\(294\) | 1.17157 | 0.0683275 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0.792893 | − | 1.37333i | 0.0460860 | − | 0.0798233i | ||||
\(297\) | −6.77962 | + | 3.91421i | −0.393393 | + | 0.227126i | ||||
\(298\) | 0.358719 | + | 0.207107i | 0.0207801 | + | 0.0119974i | ||||
\(299\) | 7.65685 | + | 13.2621i | 0.442807 | + | 0.766965i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.25736 | − | 3.90986i | −0.130112 | − | 0.225361i | ||||
\(302\) | 2.20101i | 0.126654i | ||||||||
\(303\) | −3.04384 | − | 1.75736i | −0.174864 | − | 0.100958i | ||||
\(304\) | 6.62132 | − | 11.4685i | 0.379759 | − | 0.657761i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 6.82843 | 0.390355 | ||||||||
\(307\) | 9.73641 | + | 5.62132i | 0.555686 | + | 0.320826i | 0.751412 | − | 0.659833i | \(-0.229373\pi\) |
−0.195726 | + | 0.980659i | \(0.562706\pi\) | |||||||
\(308\) | − | 2.45584i | − | 0.139935i | ||||||
\(309\) | −0.857864 | −0.0488022 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 11.3137 | 0.641542 | 0.320771 | − | 0.947157i | \(-0.396058\pi\) | ||||
0.320771 | + | 0.947157i | \(0.396058\pi\) | |||||||
\(312\) | 2.51472i | 0.142368i | ||||||||
\(313\) | −1.58346 | − | 0.914214i | −0.0895027 | − | 0.0516744i | 0.454581 | − | 0.890706i | \(-0.349789\pi\) |
−0.544083 | + | 0.839031i | \(0.683122\pi\) | |||||||
\(314\) | −3.79899 | −0.214389 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −6.17767 | + | 10.7000i | −0.347521 | + | 0.601924i | ||||
\(317\) | 6.77962 | + | 3.91421i | 0.380781 | + | 0.219844i | 0.678158 | − | 0.734916i | \(-0.262778\pi\) |
−0.297377 | + | 0.954760i | \(0.596112\pi\) | |||||||
\(318\) | − | 1.00000i | − | 0.0560772i | ||||||
\(319\) | −11.0711 | − | 19.1757i | −0.619861 | − | 1.07363i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −2.57107 | − | 4.45322i | −0.143503 | − | 0.248555i | ||||
\(322\) | −0.594346 | − | 0.343146i | −0.0331216 | − | 0.0191228i | ||||
\(323\) | 22.2810 | − | 12.8640i | 1.23975 | − | 0.715770i | ||||
\(324\) | −6.84315 | + | 11.8527i | −0.380175 | + | 0.658482i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 8.68629 | 0.481089 | ||||||||
\(327\) | 3.88437 | + | 2.24264i | 0.214806 | + | 0.124018i | ||||
\(328\) | −10.2798 | + | 5.93503i | −0.567605 | + | 0.327707i | ||||
\(329\) | −2.00000 | + | 3.46410i | −0.110264 | + | 0.190982i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.62132 | − | 8.00436i | −0.254011 | − | 0.439960i | 0.710616 | − | 0.703580i | \(-0.248417\pi\) |
−0.964626 | + | 0.263621i | \(0.915083\pi\) | |||||||
\(332\) | 15.9472 | − | 9.20711i | 0.875215 | − | 0.505306i | ||||
\(333\) | 2.82843i | 0.154997i | ||||||||
\(334\) | 4.67157 | − | 8.09140i | 0.255617 | − | 0.442742i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0.257359 | + | 0.445759i | 0.0140401 | + | 0.0243182i | ||||
\(337\) | 9.31371i | 0.507350i | 0.967290 | + | 0.253675i | \(0.0816394\pi\) | ||||
−0.967290 | + | 0.253675i | \(0.918361\pi\) | |||||||
\(338\) | 0.594346 | + | 0.343146i | 0.0323282 | + | 0.0186647i | ||||
\(339\) | −6.89949 | −0.374729 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 14.9853 | + | 10.0696i | 0.811498 | + | 0.545301i | ||||
\(342\) | − | 5.17157i | − | 0.279647i | ||||||
\(343\) | − | 5.72792i | − | 0.309279i | ||||||
\(344\) | 8.64214 | − | 14.9686i | 0.465953 | − | 0.807054i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.72183 | − | 2.98229i | −0.0925659 | − | 0.160329i | ||||
\(347\) | 7.41002 | + | 4.27817i | 0.397790 | + | 0.229664i | 0.685530 | − | 0.728044i | \(-0.259570\pi\) |
−0.287740 | + | 0.957709i | \(0.592904\pi\) | |||||||
\(348\) | 4.47871 | + | 2.58579i | 0.240084 | + | 0.138613i | ||||
\(349\) | 27.1127 | 1.45131 | 0.725655 | − | 0.688059i | \(-0.241537\pi\) | ||||
0.725655 | + | 0.688059i | \(0.241537\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −4.62132 | − | 8.00436i | −0.246668 | − | 0.427241i | ||||
\(352\) | 12.3960 | − | 7.15685i | 0.660711 | − | 0.381462i | ||||
\(353\) | 2.59808 | + | 1.50000i | 0.138282 | + | 0.0798369i | 0.567545 | − | 0.823343i | \(-0.307893\pi\) |
−0.429263 | + | 0.903179i | \(0.641227\pi\) | |||||||
\(354\) | 0.349242 | + | 0.604906i | 0.0185620 | + | 0.0321504i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −8.20101 | −0.434653 | ||||||||
\(357\) | 1.00000i | 0.0529256i | ||||||||
\(358\) | −5.46783 | − | 3.15685i | −0.288984 | − | 0.166845i | ||||
\(359\) | 3.55025 | + | 6.14922i | 0.187375 | + | 0.324543i | 0.944374 | − | 0.328873i | \(-0.106669\pi\) |
−0.756999 | + | 0.653416i | \(0.773335\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.242641 | − | 0.420266i | −0.0127706 | − | 0.0221193i | ||||
\(362\) | 4.41717 | − | 2.55025i | 0.232161 | − | 0.134038i | ||||
\(363\) | 0.174080 | − | 0.100505i | 0.00913682 | − | 0.00527515i | ||||
\(364\) | 2.89949 | 0.151975 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0.242641 | − | 0.420266i | 0.0126830 | − | 0.0219677i | ||||
\(367\) | −20.9692 | + | 12.1066i | −1.09459 | + | 0.631959i | −0.934794 | − | 0.355191i | \(-0.884416\pi\) |
−0.159792 | + | 0.987151i | \(0.551082\pi\) | |||||||
\(368\) | 12.0000i | 0.625543i | ||||||||
\(369\) | 10.5858 | − | 18.3351i | 0.551074 | − | 0.954488i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −2.41421 | −0.125340 | ||||||||
\(372\) | −4.20703 | − | 0.286797i | −0.218125 | − | 0.0148697i | ||||
\(373\) | − | 10.0000i | − | 0.517780i | −0.965907 | − | 0.258890i | \(-0.916643\pi\) | ||
0.965907 | − | 0.258890i | \(-0.0833568\pi\) | |||||||
\(374\) | 7.82843 | 0.404798 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −15.3137 | −0.789744 | ||||||||
\(377\) | 22.6398 | − | 13.0711i | 1.16601 | − | 0.673194i | ||||
\(378\) | 0.358719 | + | 0.207107i | 0.0184505 | + | 0.0106524i | ||||
\(379\) | 3.69239 | − | 6.39540i | 0.189665 | − | 0.328510i | −0.755473 | − | 0.655179i | \(-0.772593\pi\) |
0.945139 | + | 0.326669i | \(0.105926\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −1.84315 | − | 3.19242i | −0.0944272 | − | 0.163553i | ||||
\(382\) | −7.49706 | + | 4.32843i | −0.383583 | + | 0.221462i | ||||
\(383\) | −4.41717 | + | 2.55025i | −0.225707 | + | 0.130312i | −0.608590 | − | 0.793485i | \(-0.708265\pi\) |
0.382883 | + | 0.923797i | \(0.374931\pi\) | |||||||
\(384\) | −2.18629 | + | 3.78677i | −0.111569 | + | 0.193243i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −1.47918 | + | 2.56202i | −0.0752885 | + | 0.130404i | ||||
\(387\) | 30.8284i | 1.56710i | ||||||||
\(388\) | 9.45584i | 0.480048i | ||||||||
\(389\) | −5.57107 | + | 9.64937i | −0.282464 | + | 0.489243i | −0.971991 | − | 0.235018i | \(-0.924485\pi\) |
0.689527 | + | 0.724260i | \(0.257819\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −11.6569 | + | 20.1903i | −0.589512 | + | 1.02107i | ||||
\(392\) | 9.37769 | − | 5.41421i | 0.473645 | − | 0.273459i | ||||
\(393\) | 4.75039 | − | 2.74264i | 0.239626 | − | 0.138348i | ||||
\(394\) | −2.79289 | − | 4.83743i | −0.140704 | − | 0.243706i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −8.38478 | + | 14.5229i | −0.421351 | + | 0.729801i | ||||
\(397\) | 28.9991 | + | 16.7426i | 1.45542 | + | 0.840289i | 0.998781 | − | 0.0493613i | \(-0.0157186\pi\) |
0.456642 | + | 0.889650i | \(0.349052\pi\) | |||||||
\(398\) | −6.60554 | + | 3.81371i | −0.331106 | + | 0.191164i | ||||
\(399\) | 0.757359 | 0.0379154 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −26.8284 | −1.33975 | −0.669874 | − | 0.742475i | \(-0.733652\pi\) | ||||
−0.669874 | + | 0.742475i | \(0.733652\pi\) | |||||||
\(402\) | 0.556349i | 0.0277482i | ||||||||
\(403\) | −11.8887 | + | 17.6924i | −0.592220 | + | 0.881321i | ||||
\(404\) | −15.5147 | −0.771886 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.585786 | + | 1.01461i | −0.0290721 | + | 0.0503543i | ||||
\(407\) | 3.24264i | 0.160732i | ||||||||
\(408\) | −3.31552 | + | 1.91421i | −0.164142 | + | 0.0947677i | ||||
\(409\) | 10.3284 | − | 17.8894i | 0.510708 | − | 0.884572i | −0.489215 | − | 0.872163i | \(-0.662717\pi\) |
0.999923 | − | 0.0124088i | \(-0.00394995\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 3.92893 | 0.193800 | ||||||||
\(412\) | −3.27946 | + | 1.89340i | −0.161567 | + | 0.0932810i | ||||
\(413\) | 1.46037 | − | 0.843146i | 0.0718602 | − | 0.0414885i | ||||
\(414\) | 2.34315 | + | 4.05845i | 0.115159 | + | 0.199462i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 8.44975 | + | 14.6354i | 0.414283 | + | 0.717559i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | − | 5.92893i | − | 0.289994i | ||||||
\(419\) | −28.0000 | −1.36789 | −0.683945 | − | 0.729534i | \(-0.739737\pi\) | ||||
−0.683945 | + | 0.729534i | \(0.739737\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 15.5711 | + | 26.9699i | 0.758887 | + | 1.31443i | 0.943418 | + | 0.331605i | \(0.107590\pi\) |
−0.184531 | + | 0.982827i | \(0.559077\pi\) | |||||||
\(422\) | −3.73578 | − | 2.15685i | −0.181855 | − | 0.104994i | ||||
\(423\) | 23.6544 | − | 13.6569i | 1.15011 | − | 0.664019i | ||||
\(424\) | −4.62132 | − | 8.00436i | −0.224431 | − | 0.388726i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0.0121933 | 0.000590768 | ||||||||
\(427\) | −1.01461 | − | 0.585786i | −0.0491005 | − | 0.0283482i | ||||
\(428\) | −19.6575 | − | 11.3492i | −0.950179 | − | 0.548586i | ||||
\(429\) | −2.57107 | − | 4.45322i | −0.124132 | − | 0.215003i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 8.37868 | − | 14.5123i | 0.403587 | − | 0.699033i | −0.590569 | − | 0.806987i | \(-0.701097\pi\) |
0.994156 | + | 0.107954i | \(0.0344300\pi\) | |||||||
\(432\) | − | 7.24264i | − | 0.348462i | ||||||
\(433\) | − | 27.1127i | − | 1.30295i | −0.758669 | − | 0.651477i | \(-0.774150\pi\) | ||
0.758669 | − | 0.651477i | \(-0.225850\pi\) | |||||||
\(434\) | 0.0649712 | − | 0.953065i | 0.00311872 | − | 0.0457486i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 19.7990 | 0.948200 | ||||||||
\(437\) | 15.2913 | + | 8.82843i | 0.731481 | + | 0.422321i | ||||
\(438\) | 0.313708i | 0.0149896i | ||||||||
\(439\) | 1.03553 | + | 1.79360i | 0.0494233 | + | 0.0856037i | 0.889679 | − | 0.456587i | \(-0.150928\pi\) |
−0.840255 | + | 0.542191i | \(0.817595\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −9.65685 | + | 16.7262i | −0.459850 | + | 0.796484i | ||||
\(442\) | 9.24264i | 0.439628i | ||||||||
\(443\) | 4.11999 | − | 2.37868i | 0.195747 | − | 0.113014i | −0.398923 | − | 0.916984i | \(-0.630616\pi\) |
0.594670 | + | 0.803970i | \(0.297283\pi\) | |||||||
\(444\) | −0.378680 | − | 0.655892i | −0.0179713 | − | 0.0311273i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 4.91421 | − | 8.51167i | 0.232695 | − | 0.403039i | ||||
\(447\) | 0.358719 | − | 0.207107i | 0.0169668 | − | 0.00979581i | ||||
\(448\) | 1.49642 | + | 0.863961i | 0.0706994 | + | 0.0408183i | ||||
\(449\) | 40.6274 | 1.91733 | 0.958663 | − | 0.284543i | \(-0.0918420\pi\) | ||||
0.958663 | + | 0.284543i | \(0.0918420\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 12.1360 | − | 21.0202i | 0.571464 | − | 0.989804i | ||||
\(452\) | −26.3755 | + | 15.2279i | −1.24060 | + | 0.716261i | ||||
\(453\) | 1.90613 | + | 1.10051i | 0.0895578 | + | 0.0517062i | ||||
\(454\) | −3.81371 | − | 6.60554i | −0.178986 | − | 0.310013i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 1.44975 | + | 2.51104i | 0.0678906 | + | 0.117590i | ||||
\(457\) | − | 31.1127i | − | 1.45539i | −0.685901 | − | 0.727695i | \(-0.740591\pi\) | ||
0.685901 | − | 0.727695i | \(-0.259409\pi\) | |||||||
\(458\) | −1.96768 | − | 1.13604i | −0.0919435 | − | 0.0530836i | ||||
\(459\) | 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 | \(0.515885\pi\) | |||||||
\(462\) | 0.199573 | + | 0.115224i | 0.00928499 | + | 0.00536069i | ||||
\(463\) | 8.97056i | 0.416897i | 0.978033 | + | 0.208449i | \(0.0668414\pi\) | ||||
−0.978033 | + | 0.208449i | \(0.933159\pi\) | |||||||
\(464\) | 20.4853 | 0.951005 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −3.79899 | −0.175985 | ||||||||
\(467\) | − | 8.00000i | − | 0.370196i | −0.982720 | − | 0.185098i | \(-0.940740\pi\) | ||
0.982720 | − | 0.185098i | \(-0.0592602\pi\) | |||||||
\(468\) | −17.1464 | − | 9.89949i | −0.792594 | − | 0.457604i | ||||
\(469\) | 1.34315 | 0.0620207 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −1.89949 | + | 3.29002i | −0.0875241 | + | 0.151596i | ||||
\(472\) | 5.59093 | + | 3.22792i | 0.257343 | + | 0.148577i | ||||
\(473\) | 35.3431i | 1.62508i | ||||||||
\(474\) | −0.579690 | − | 1.00405i | −0.0266260 | − | 0.0461176i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 2.20711 | + | 3.82282i | 0.101163 | + | 0.175219i | ||||
\(477\) | 14.2767 | + | 8.24264i | 0.653684 | + | 0.377405i | ||||
\(478\) | 7.62015 | − | 4.39949i | 0.348537 | − | 0.201228i | ||||
\(479\) | −7.86396 | + | 13.6208i | −0.359314 | + | 0.622349i | −0.987846 | − | 0.155434i | \(-0.950322\pi\) |
0.628533 | + | 0.777783i | \(0.283656\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.82843 | −0.174561 | ||||||||
\(482\) | −4.78645 | − | 2.76346i | −0.218017 | − | 0.125872i | ||||
\(483\) | −0.594346 | + | 0.343146i | −0.0270437 | + | 0.0156137i | ||||
\(484\) | 0.443651 | − | 0.768426i | 0.0201659 | − | 0.0349284i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −2.14214 | − | 3.71029i | −0.0971692 | − | 0.168302i | ||||
\(487\) | 16.7877 | − | 9.69239i | 0.760724 | − | 0.439204i | −0.0688318 | − | 0.997628i | \(-0.521927\pi\) |
0.829556 | + | 0.558424i | \(0.188594\pi\) | |||||||
\(488\) | − | 4.48528i | − | 0.203039i | ||||||
\(489\) | 4.34315 | − | 7.52255i | 0.196404 | − | 0.340181i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −0.792893 | − | 1.37333i | −0.0357828 | − | 0.0619776i | 0.847579 | − | 0.530669i | \(-0.178059\pi\) |
−0.883362 | + | 0.468691i | \(0.844726\pi\) | |||||||
\(492\) | 5.66905i | 0.255580i | ||||||||
\(493\) | 34.4669 | + | 19.8995i | 1.55231 | + | 0.896228i | ||||
\(494\) | 7.00000 | 0.314945 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −15.0000 | + | 7.34847i | −0.673520 | + | 0.329956i | ||||
\(497\) | − | 0.0294373i | − | 0.00132044i | ||||||
\(498\) | 1.72792i | 0.0774300i | ||||||||
\(499\) | −1.10660 | + | 1.91669i | −0.0495383 | + | 0.0858028i | −0.889731 | − | 0.456485i | \(-0.849108\pi\) |
0.840193 | + | 0.542288i | \(0.182442\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −4.67157 | − | 8.09140i | −0.208710 | − | 0.361497i | ||||
\(502\) | −2.30090 | − | 1.32843i | −0.102694 | − | 0.0592906i | ||||
\(503\) | −11.5916 | − | 6.69239i | −0.516842 | − | 0.298399i | 0.218800 | − | 0.975770i | \(-0.429786\pi\) |
−0.735642 | + | 0.677371i | \(0.763119\pi\) | |||||||
\(504\) | 1.85786 | 0.0827559 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 2.68629 | + | 4.65279i | 0.119420 | + | 0.206842i | ||||
\(507\) | 0.594346 | − | 0.343146i | 0.0263958 | − | 0.0152396i | ||||
\(508\) | −14.0920 | − | 8.13604i | −0.625233 | − | 0.360978i | ||||
\(509\) | −16.3995 | − | 28.4048i | −0.726895 | − | 1.25902i | −0.958189 | − | 0.286135i | \(-0.907629\pi\) |
0.231294 | − | 0.972884i | \(-0.425704\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.757359 | 0.0335036 | ||||||||
\(512\) | 22.7574i | 1.00574i | ||||||||
\(513\) | −9.22911 | − | 5.32843i | −0.407475 | − | 0.235256i | ||||
\(514\) | 4.62132 | + | 8.00436i | 0.203838 | + | 0.353057i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −4.12742 | − | 7.14890i | −0.181699 | − | 0.314713i | ||||
\(517\) | 27.1185 | − | 15.6569i | 1.19267 | − | 0.688588i | ||||
\(518\) | 0.148586 | − | 0.0857864i | 0.00652851 | − | 0.00376924i | ||||
\(519\) | −3.44365 | −0.151159 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 10.2279 | − | 17.7153i | 0.448093 | − | 0.776121i | −0.550169 | − | 0.835054i | \(-0.685437\pi\) |
0.998262 | + | 0.0589331i | \(0.0187699\pi\) | |||||||
\(522\) | 6.92820 | − | 4.00000i | 0.303239 | − | 0.175075i | ||||
\(523\) | 8.00000i | 0.349816i | 0.984585 | + | 0.174908i | \(0.0559627\pi\) | ||||
−0.984585 | + | 0.174908i | \(0.944037\pi\) | |||||||
\(524\) | 12.1066 | − | 20.9692i | 0.528879 | − | 0.916046i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9.65685 | −0.421059 | ||||||||
\(527\) | −32.3762 | − | 2.20711i | −1.41033 | − | 0.0961431i | ||||
\(528\) | − | 4.02944i | − | 0.175359i | ||||||
\(529\) | 7.00000 | 0.304348 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −11.5147 | −0.499696 | ||||||||
\(532\) | 2.89525 | − | 1.67157i | 0.125525 | − | 0.0724719i | ||||
\(533\) | 24.8176 | + | 14.3284i | 1.07497 | + | 0.620633i | ||||
\(534\) | 0.384776 | − | 0.666452i | 0.0166509 | − | 0.0288402i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 2.57107 | + | 4.45322i | 0.111053 | + | 0.192350i | ||||
\(537\) | −5.46783 | + | 3.15685i | −0.235954 | + | 0.136228i | ||||
\(538\) | 9.38825 | − | 5.42031i | 0.404756 | − | 0.233686i | ||||
\(539\) | −11.0711 | + | 19.1757i | −0.476865 | + | 0.825954i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 15.6421 | − | 27.0930i | 0.672508 | − | 1.16482i | −0.304683 | − | 0.952454i | \(-0.598550\pi\) |
0.977191 | − | 0.212364i | \(-0.0681162\pi\) | |||||||
\(542\) | − | 0.284271i | − | 0.0122105i | ||||||
\(543\) | − | 5.10051i | − | 0.218884i | ||||||
\(544\) | −12.8640 | + | 22.2810i | −0.551538 | + | 0.955291i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −0.136039 | + | 0.235626i | −0.00582193 | + | 0.0100839i | ||||
\(547\) | −17.0849 | + | 9.86396i | −0.730497 | + | 0.421753i | −0.818604 | − | 0.574358i | \(-0.805252\pi\) |
0.0881071 | + | 0.996111i | \(0.471918\pi\) | |||||||
\(548\) | 15.0196 | − | 8.67157i | 0.641606 | − | 0.370431i | ||||
\(549\) | 4.00000 | + | 6.92820i | 0.170716 | + | 0.295689i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 15.0711 | − | 26.1039i | 0.642049 | − | 1.11206i | ||||
\(552\) | −2.27541 | − | 1.31371i | −0.0968479 | − | 0.0559151i | ||||
\(553\) | −2.42400 | + | 1.39949i | −0.103079 | + | 0.0595126i | ||||
\(554\) | −5.85786 | −0.248877 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 27.5147i | 1.16584i | 0.812531 | + | 0.582918i | \(0.198089\pi\) | ||||
−0.812531 | + | 0.582918i | \(0.801911\pi\) | |||||||
\(558\) | −3.63818 | + | 5.41421i | −0.154017 | + | 0.229202i | ||||
\(559\) | −41.7279 | −1.76490 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 3.91421 | − | 6.77962i | 0.165258 | − | 0.286236i | ||||
\(562\) | 0.828427i | 0.0349451i | ||||||||
\(563\) | −11.4685 | + | 6.62132i | −0.483338 | + | 0.279055i | −0.721807 | − | 0.692095i | \(-0.756688\pi\) |
0.238468 | + | 0.971150i | \(0.423355\pi\) | |||||||
\(564\) | −3.65685 | + | 6.33386i | −0.153981 | + | 0.266704i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −5.65685 | −0.237775 | ||||||||
\(567\) | −2.68512 | + | 1.55025i | −0.112764 | + | 0.0651045i | ||||
\(568\) | 0.0975997 | − | 0.0563492i | 0.00409519 | − | 0.00236436i | ||||
\(569\) | −6.57107 | − | 11.3814i | −0.275473 | − | 0.477134i | 0.694781 | − | 0.719221i | \(-0.255501\pi\) |
−0.970254 | + | 0.242087i | \(0.922168\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 10.5503 | + | 18.2736i | 0.441514 | + | 0.764725i | 0.997802 | − | 0.0662645i | \(-0.0211081\pi\) |
−0.556288 | + | 0.830990i | \(0.687775\pi\) | |||||||
\(572\) | −19.6575 | − | 11.3492i | −0.821920 | − | 0.474536i | ||||
\(573\) | 8.65685i | 0.361645i | ||||||||
\(574\) | −1.28427 | −0.0536044 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −5.89949 | − | 10.2182i | −0.245812 | − | 0.425759i | ||||
\(577\) | 0.0254934 | + | 0.0147186i | 0.00106130 | + | 0.000612744i | 0.500531 | − | 0.865719i | \(-0.333138\pi\) |
−0.499469 | + | 0.866332i | \(0.666472\pi\) | |||||||
\(578\) | −6.08767 | + | 3.51472i | −0.253214 | + | 0.146193i | ||||
\(579\) | 1.47918 | + | 2.56202i | 0.0614728 | + | 0.106474i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 4.17157 | 0.173066 | ||||||||
\(582\) | −0.768426 | − | 0.443651i | −0.0318523 | − | 0.0183899i | ||||
\(583\) | 16.3674 | + | 9.44975i | 0.677870 | + | 0.391369i | ||||
\(584\) | 1.44975 | + | 2.51104i | 0.0599910 | + | 0.103907i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −3.06497 | + | 5.30869i | −0.126613 | + | 0.219300i | ||||
\(587\) | − | 31.6569i | − | 1.30662i | −0.757091 | − | 0.653309i | \(-0.773380\pi\) | ||
0.757091 | − | 0.653309i | \(-0.226620\pi\) | |||||||
\(588\) | − | 5.17157i | − | 0.213272i | ||||||
\(589\) | −1.67157 | + | 24.5204i | −0.0688760 | + | 1.01035i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −5.58579 | −0.229769 | ||||||||
\(592\) | −2.59808 | − | 1.50000i | −0.106780 | − | 0.0616496i | ||||
\(593\) | 1.31371i | 0.0539475i | 0.999636 | + | 0.0269738i | \(0.00858706\pi\) | ||||
−0.999636 | + | 0.0269738i | \(0.991413\pi\) | |||||||
\(594\) | −1.62132 | − | 2.80821i | −0.0665236 | − | 0.115222i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0.914214 | − | 1.58346i | 0.0374476 | − | 0.0648612i | ||||
\(597\) | 7.62742i | 0.312169i | ||||||||
\(598\) | −5.49333 | + | 3.17157i | −0.224639 | + | 0.129695i | ||||
\(599\) | 7.55025 | + | 13.0774i | 0.308495 | + | 0.534329i | 0.978033 | − | 0.208449i | \(-0.0668414\pi\) |
−0.669538 | + | 0.742777i | \(0.733508\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 3.25736 | − | 5.64191i | 0.132870 | − | 0.230138i | −0.791911 | − | 0.610636i | \(-0.790914\pi\) |
0.924782 | + | 0.380498i | \(0.124247\pi\) | |||||||
\(602\) | 1.61952 | − | 0.935029i | 0.0660066 | − | 0.0381089i | ||||
\(603\) | −7.94282 | − | 4.58579i | −0.323456 | − | 0.186748i | ||||
\(604\) | 9.71573 | 0.395327 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0.727922 | − | 1.26080i | 0.0295698 | − | 0.0512164i | ||||
\(607\) | −1.37333 | + | 0.792893i | −0.0557418 | + | 0.0321825i | −0.527612 | − | 0.849486i | \(-0.676912\pi\) |
0.471870 | + | 0.881668i | \(0.343579\pi\) | |||||||
\(608\) | 16.8747 | + | 9.74264i | 0.684361 | + | 0.395116i | ||||
\(609\) | 0.585786 | + | 1.01461i | 0.0237373 | + | 0.0411141i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 18.4853 | + | 32.0174i | 0.747834 | + | 1.29529i | ||||
\(612\) | − | 30.1421i | − | 1.21842i | ||||||
\(613\) | 10.6640 | + | 6.15685i | 0.430714 | + | 0.248673i | 0.699651 | − | 0.714485i | \(-0.253339\pi\) |
−0.268937 | + | 0.963158i | \(0.586672\pi\) | |||||||
\(614\) | −2.32843 | + | 4.03295i | −0.0939677 | + | 0.162757i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 2.12994 | 0.0858178 | ||||||||
\(617\) | 28.8250 | + | 16.6421i | 1.16045 | + | 0.669987i | 0.951412 | − | 0.307920i | \(-0.0996329\pi\) |
0.209040 | + | 0.977907i | \(0.432966\pi\) | |||||||
\(618\) | − | 0.355339i | − | 0.0142938i | ||||||
\(619\) | 20.3431 | 0.817660 | 0.408830 | − | 0.912611i | \(-0.365937\pi\) | ||||
0.408830 | + | 0.912611i | \(0.365937\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 9.65685 | 0.387516 | ||||||||
\(622\) | 4.68629i | 0.187903i | ||||||||
\(623\) | −1.60896 | − | 0.928932i | −0.0644615 | − | 0.0372169i | ||||
\(624\) | 4.75736 | 0.190447 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 0.378680 | − | 0.655892i | 0.0151351 | − | 0.0262147i | ||||
\(627\) | −5.13461 | − | 2.96447i | −0.205056 | − | 0.118389i | ||||
\(628\) | 16.7696i | 0.669178i | ||||||||
\(629\) | −2.91421 | − | 5.04757i | −0.116197 | − | 0.201260i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −25.0061 | − | 43.3118i | −0.995477 | − | 1.72422i | −0.580013 | − | 0.814607i | \(-0.696953\pi\) |
−0.415464 | − | 0.909610i | \(-0.636381\pi\) | |||||||
\(632\) | −9.28009 | − | 5.35786i | −0.369142 | − | 0.213124i | ||||
\(633\) | −3.73578 | + | 2.15685i | −0.148484 | + | 0.0857273i | ||||
\(634\) | −1.62132 | + | 2.80821i | −0.0643909 | + | 0.111528i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −4.41421 | −0.175035 | ||||||||
\(637\) | −22.6398 | − | 13.0711i | −0.897020 | − | 0.517895i | ||||
\(638\) | 7.94282 | − | 4.58579i | 0.314459 | − | 0.181553i | ||||
\(639\) | −0.100505 | + | 0.174080i | −0.00397592 | + | 0.00688649i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 6.98528 | + | 12.0989i | 0.275902 | + | 0.477876i | 0.970362 | − | 0.241655i | \(-0.0776901\pi\) |
−0.694460 | + | 0.719531i | \(0.744357\pi\) | |||||||
\(642\) | 1.84458 | − | 1.06497i | 0.0727999 | − | 0.0420311i | ||||
\(643\) | − | 35.3137i | − | 1.39264i | −0.717733 | − | 0.696318i | \(-0.754820\pi\) | ||
0.717733 | − | 0.696318i | \(-0.245180\pi\) | |||||||
\(644\) | −1.51472 | + | 2.62357i | −0.0596883 | + | 0.103383i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 5.32843 | + | 9.22911i | 0.209644 | + | 0.363114i | ||||
\(647\) | − | 45.3137i | − | 1.78147i | −0.454527 | − | 0.890733i | \(-0.650192\pi\) | ||
0.454527 | − | 0.890733i | \(-0.349808\pi\) | |||||||
\(648\) | −10.2798 | − | 5.93503i | −0.403828 | − | 0.233150i | ||||
\(649\) | −13.2010 | −0.518185 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.792893 | − | 0.532799i | −0.0310759 | − | 0.0208821i | ||||
\(652\) | − | 38.3431i | − | 1.50163i | ||||||
\(653\) | 6.14214i | 0.240360i | 0.992752 | + | 0.120180i | \(0.0383472\pi\) | ||||
−0.992752 | + | 0.120180i | \(0.961653\pi\) | |||||||
\(654\) | −0.928932 | + | 1.60896i | −0.0363241 | + | 0.0629152i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 11.2279 | + | 19.4473i | 0.438377 | + | 0.759291i | ||||
\(657\) | −4.47871 | − | 2.58579i | −0.174731 | − | 0.100881i | ||||
\(658\) | −1.43488 | − | 0.828427i | −0.0559374 | − | 0.0322955i | ||||
\(659\) | 1.65685 | 0.0645419 | 0.0322709 | − | 0.999479i | \(-0.489726\pi\) | ||||
0.0322709 | + | 0.999479i | \(0.489726\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −2.42893 | − | 4.20703i | −0.0944745 | − | 0.163635i | 0.814915 | − | 0.579581i | \(-0.196784\pi\) |
−0.909389 | + | 0.415946i | \(0.863450\pi\) | |||||||
\(662\) | 3.31552 | − | 1.91421i | 0.128861 | − | 0.0743980i | ||||
\(663\) | 8.00436 | + | 4.62132i | 0.310864 | + | 0.179477i | ||||
\(664\) | 7.98528 | + | 13.8309i | 0.309889 | + | 0.536744i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −1.17157 | −0.0453975 | ||||||||
\(667\) | 27.3137i | 1.05759i | ||||||||
\(668\) | −35.7172 | − | 20.6213i | −1.38194 | − | 0.797863i | ||||
\(669\) | −4.91421 | − | 8.51167i | −0.189994 | − | 0.329080i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 4.58579 | + | 7.94282i | 0.177032 | + | 0.306629i | ||||
\(672\) | −0.655892 | + | 0.378680i | −0.0253016 | + | 0.0146079i | ||||
\(673\) | −8.09140 | + | 4.67157i | −0.311901 | + | 0.180076i | −0.647777 | − | 0.761830i | \(-0.724301\pi\) |
0.335876 | + | 0.941906i | \(0.390968\pi\) | |||||||
\(674\) | −3.85786 | −0.148599 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 1.51472 | − | 2.62357i | 0.0582584 | − | 0.100907i | ||||
\(677\) | −33.4268 | + | 19.2990i | −1.28470 | + | 0.741720i | −0.977703 | − | 0.209991i | \(-0.932657\pi\) |
−0.306994 | + | 0.951711i | \(0.599323\pi\) | |||||||
\(678\) | − | 2.85786i | − | 0.109756i | ||||||
\(679\) | −1.07107 | + | 1.85514i | −0.0411038 | + | 0.0711939i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −7.62742 | −0.292283 | ||||||||
\(682\) | −4.17098 | + | 6.20711i | −0.159715 | + | 0.237682i | ||||
\(683\) | 1.37258i | 0.0525204i | 0.999655 | + | 0.0262602i | \(0.00835985\pi\) | ||||
−0.999655 | + | 0.0262602i | \(0.991640\pi\) | |||||||
\(684\) | −22.8284 | −0.872867 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 2.37258 | 0.0905856 | ||||||||
\(687\) | −1.96768 | + | 1.13604i | −0.0750716 | + | 0.0433426i | ||||
\(688\) | −28.3177 | − | 16.3492i | −1.07960 | − | 0.623309i | ||||
\(689\) | −11.1569 | + | 19.3242i | −0.425042 | + | 0.736195i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0.0355339 | + | 0.0615465i | 0.00135177 | + | 0.00234134i | 0.866700 | − | 0.498829i | \(-0.166236\pi\) |
−0.865349 | + | 0.501170i | \(0.832903\pi\) | |||||||
\(692\) | −13.1645 | + | 7.60051i | −0.500438 | + | 0.288928i | ||||
\(693\) | −3.29002 | + | 1.89949i | −0.124978 | + | 0.0721558i | ||||
\(694\) | −1.77208 | + | 3.06933i | −0.0672672 | + | 0.116510i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −2.24264 | + | 3.88437i | −0.0850071 | + | 0.147237i | ||||
\(697\) | 43.6274i | 1.65251i | ||||||||
\(698\) | 11.2304i | 0.425079i | ||||||||
\(699\) | −1.89949 | + | 3.29002i | −0.0718455 | + | 0.124440i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 6.74264 | − | 11.6786i | 0.254666 | − | 0.441094i | −0.710139 | − | 0.704062i | \(-0.751368\pi\) |
0.964805 | + | 0.262967i | \(0.0847011\pi\) | |||||||
\(702\) | 3.31552 | − | 1.91421i | 0.125136 | − | 0.0722473i | ||||
\(703\) | −3.82282 | + | 2.20711i | −0.144180 | + | 0.0832426i | ||||
\(704\) | −6.76346 | − | 11.7146i | −0.254907 | − | 0.441512i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −0.621320 | + | 1.07616i | −0.0233837 | + | 0.0405018i | ||||
\(707\) | −3.04384 | − | 1.75736i | −0.114475 | − | 0.0660923i | ||||
\(708\) | 2.67018 | − | 1.54163i | 0.100352 | − | 0.0579380i | ||||
\(709\) | −17.3137 | −0.650230 | −0.325115 | − | 0.945674i | \(-0.605403\pi\) | ||||
−0.325115 | + | 0.945674i | \(0.605403\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 19.1127 | 0.716782 | ||||||||
\(712\) | − | 7.11270i | − | 0.266560i | ||||||
\(713\) | −9.79796 | − | 20.0000i | −0.366936 | − | 0.749006i | ||||
\(714\) | −0.414214 | −0.0155016 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −13.9350 | + | 24.1362i | −0.520776 | + | 0.902011i | ||||
\(717\) | − | 8.79899i | − | 0.328604i | ||||||
\(718\) | −2.54709 | + | 1.47056i | −0.0950565 | + | 0.0548809i | ||||
\(719\) | −4.03553 | + | 6.98975i | −0.150500 | + | 0.260674i | −0.931411 | − | 0.363968i | \(-0.881422\pi\) |
0.780911 | + | 0.624642i | \(0.214755\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.857864 | −0.0319485 | ||||||||
\(722\) | 0.174080 | − | 0.100505i | 0.00647858 | − | 0.00374041i | ||||
\(723\) | −4.78645 | + | 2.76346i | −0.178010 | + | 0.102774i | ||||
\(724\) | −11.2574 | − | 19.4983i | −0.418376 | − | 0.724649i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0.0416306 | + | 0.0721062i | 0.00154506 | + | 0.00267611i | ||||
\(727\) | −35.3690 | − | 20.4203i | −1.31176 | − | 0.757347i | −0.329376 | − | 0.944199i | \(-0.606838\pi\) |
−0.982388 | + | 0.186851i | \(0.940172\pi\) | |||||||
\(728\) | 2.51472i | 0.0932017i | ||||||||
\(729\) | 18.1716 | 0.673021 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −31.7635 | − | 55.0159i | −1.17481 | − | 2.03484i | ||||
\(732\) | −1.85514 | − | 1.07107i | −0.0685681 | − | 0.0395878i | ||||
\(733\) | −13.5337 | + | 7.81371i | −0.499880 | + | 0.288606i | −0.728664 | − | 0.684871i | \(-0.759858\pi\) |
0.228784 | + | 0.973477i | \(0.426525\pi\) | |||||||
\(734\) | −5.01472 | − | 8.68575i | −0.185097 | − | 0.320597i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −17.6569 | −0.650840 | ||||||||
\(737\) | −9.10601 | − | 5.25736i | −0.335424 | − | 0.193657i | ||||
\(738\) | 7.59466 | + | 4.38478i | 0.279563 | + | 0.161406i | ||||
\(739\) | 22.9350 | + | 39.7246i | 0.843679 | + | 1.46129i | 0.886764 | + | 0.462223i | \(0.152948\pi\) |
−0.0430851 | + | 0.999071i | \(0.513719\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 3.50000 | − | 6.06218i | 0.128576 | − | 0.222700i | ||||
\(742\) | − | 1.00000i | − | 0.0367112i | ||||||
\(743\) | − | 5.65685i | − | 0.207530i | −0.994602 | − | 0.103765i | \(-0.966911\pi\) | ||
0.994602 | − | 0.103765i | \(-0.0330890\pi\) | |||||||
\(744\) | 0.248737 | − | 3.64874i | 0.00911915 | − | 0.133769i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 4.14214 | 0.151654 | ||||||||
\(747\) | −24.6690 | − | 14.2426i | −0.902591 | − | 0.521111i | ||||
\(748\) | − | 34.5563i | − | 1.26351i | ||||||
\(749\) | −2.57107 | − | 4.45322i | −0.0939448 | − | 0.162717i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −3.62132 | + | 6.27231i | −0.132144 | + | 0.228880i | −0.924503 | − | 0.381175i | \(-0.875519\pi\) |
0.792359 | + | 0.610055i | \(0.208853\pi\) | |||||||
\(752\) | 28.9706i | 1.05645i | ||||||||
\(753\) | −2.30090 | + | 1.32843i | −0.0838496 | + | 0.0484106i | ||||
\(754\) | 5.41421 | + | 9.37769i | 0.197174 | + | 0.341515i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0.914214 | − | 1.58346i | 0.0332496 | − | 0.0575900i | ||||
\(757\) | 20.2158 | − | 11.6716i | 0.734754 | − | 0.424211i | −0.0854047 | − | 0.996346i | \(-0.527218\pi\) |
0.820159 | + | 0.572136i | \(0.193885\pi\) | |||||||
\(758\) | 2.64906 | + | 1.52944i | 0.0962183 | + | 0.0555517i | ||||
\(759\) | 5.37258 | 0.195012 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −15.2279 | + | 26.3755i | −0.552012 | + | 0.956112i | 0.446118 | + | 0.894974i | \(0.352806\pi\) |
−0.998129 | + | 0.0611380i | \(0.980527\pi\) | |||||||
\(762\) | 1.32234 | − | 0.763456i | 0.0479035 | − | 0.0276571i | ||||
\(763\) | 3.88437 | + | 2.24264i | 0.140624 | + | 0.0811890i | ||||
\(764\) | 19.1066 | + | 33.0936i | 0.691253 | + | 1.19728i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −1.05635 | − | 1.82965i | −0.0381674 | − | 0.0661080i | ||||
\(767\) | − | 15.5858i | − | 0.562770i | ||||||
\(768\) | 1.42432 | + | 0.822330i | 0.0513957 | + | 0.0296733i | ||||
\(769\) | 18.0563 | − | 31.2745i | 0.651129 | − | 1.12779i | −0.331721 | − | 0.943378i | \(-0.607629\pi\) |
0.982849 | − | 0.184410i | \(-0.0590375\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 9.24264 | 0.332866 | ||||||||
\(772\) | 11.3093 | + | 6.52944i | 0.407031 | + | 0.235000i | ||||
\(773\) | − | 18.0000i | − | 0.647415i | −0.946157 | − | 0.323708i | \(-0.895071\pi\) | ||
0.946157 | − | 0.323708i | \(-0.104929\pi\) | |||||||
\(774\) | −12.7696 | −0.458992 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −8.20101 | −0.294399 | ||||||||
\(777\) | − | 0.171573i | − | 0.00615514i | ||||||
\(778\) | −3.99690 | − | 2.30761i | −0.143296 | − | 0.0827319i | ||||
\(779\) | 33.0416 | 1.18384 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.115224 | + | 0.199573i | −0.00412303 | + | 0.00714129i | ||||
\(782\) | −8.36308 | − | 4.82843i | −0.299063 | − | 0.172664i | ||||
\(783\) | − | 16.4853i | − | 0.589136i | ||||||
\(784\) | −10.2426 | − | 17.7408i | −0.365809 | − | 0.633599i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 1.13604 | + | 1.96768i | 0.0405212 | + | 0.0701847i | ||||
\(787\) | −36.7318 | − | 21.2071i | −1.30935 | − | 0.755952i | −0.327360 | − | 0.944900i | \(-0.606159\pi\) |
−0.981987 | + | 0.188948i | \(0.939492\pi\) | |||||||
\(788\) | −21.3535 | + | 12.3284i | −0.760686 | + | 0.439182i | ||||
\(789\) | −4.82843 | + | 8.36308i | −0.171897 | + | 0.297734i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −6.89949 | −0.245318 | ||||||||
\(792\) | −12.5956 | − | 7.27208i | −0.447565 | − | 0.258402i | ||||
\(793\) | −9.37769 | + | 5.41421i | −0.333012 | + | 0.192264i | ||||
\(794\) | −6.93503 | + | 12.0118i | −0.246115 | + | 0.426284i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 16.8345 | + | 29.1583i | 0.596684 | + | 1.03349i | ||||
\(797\) | 24.6435 | − | 14.2279i | 0.872917 | − | 0.503979i | 0.00460050 | − | 0.999989i | \(-0.498536\pi\) |
0.868316 | + | 0.496011i | \(0.165202\pi\) | |||||||
\(798\) | 0.313708i | 0.0111052i | ||||||||
\(799\) | −28.1421 | + | 48.7436i | −0.995597 | + | 1.72442i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 6.34315 | + | 10.9867i | 0.224124 | + | 0.388194i | ||||
\(802\) | − | 11.1127i | − | 0.392403i | ||||||
\(803\) | −5.13461 | − | 2.96447i | −0.181196 | − | 0.104614i | ||||
\(804\) | 2.45584 | 0.0866109 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −7.32843 | − | 4.92447i | −0.258133 | − | 0.173457i | ||||
\(807\) | − | 10.8406i | − | 0.381608i | ||||||
\(808\) | − | 13.4558i | − | 0.473375i | ||||||
\(809\) | −6.01472 | + | 10.4178i | −0.211466 | + | 0.366270i | −0.952174 | − | 0.305558i | \(-0.901157\pi\) |
0.740707 | + | 0.671828i | \(0.234491\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 6.86396 | + | 11.8887i | 0.241026 | + | 0.417470i | 0.961007 | − | 0.276524i | \(-0.0891827\pi\) |
−0.719981 | + | 0.693994i | \(0.755849\pi\) | |||||||
\(812\) | 4.47871 | + | 2.58579i | 0.157172 | + | 0.0907433i | ||||
\(813\) | −0.246186 | − | 0.142136i | −0.00863412 | − | 0.00498491i | ||||
\(814\) | −1.34315 | −0.0470772 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 3.62132 | + | 6.27231i | 0.126772 | + | 0.219575i | ||||
\(817\) | −41.6668 | + | 24.0563i | −1.45774 | + | 0.841625i | ||||
\(818\) | 7.41002 | + | 4.27817i | 0.259085 | + | 0.149583i | ||||
\(819\) | −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 | \(0.452694\pi\) | |||||||
\(822\) | 1.62742i | 0.0567627i | ||||||||
\(823\) | 31.3616 | + | 18.1066i | 1.09320 | + | 0.631156i | 0.934425 | − | 0.356159i | \(-0.115914\pi\) |
0.158770 | + | 0.987316i | \(0.449247\pi\) | |||||||
\(824\) | −1.64214 | − | 2.84426i | −0.0572065 | − | 0.0990846i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.349242 | + | 0.604906i | 0.0121517 | + | 0.0210474i | ||||
\(827\) | 31.9559 | − | 18.4497i | 1.11122 | − | 0.641561i | 0.172072 | − | 0.985084i | \(-0.444954\pi\) |
0.939144 | + | 0.343524i | \(0.111621\pi\) | |||||||
\(828\) | 17.9149 | − | 10.3431i | 0.622584 | − | 0.359449i | ||||
\(829\) | −38.4264 | −1.33460 | −0.667302 | − | 0.744787i | \(-0.732551\pi\) | ||||
−0.667302 | + | 0.744787i | \(0.732551\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −2.92893 | + | 5.07306i | −0.101604 | + | 0.175982i | ||||
\(832\) | 13.8309 | − | 7.98528i | 0.479501 | − | 0.276840i | ||||
\(833\) | − | 39.7990i | − | 1.37895i | ||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −26.1716 | −0.905163 | ||||||||
\(837\) | 5.91359 | + | 12.0711i | 0.204404 | + | 0.417237i | ||||
\(838\) | − | 11.5980i | − | 0.400646i | ||||||
\(839\) | 14.6274 | 0.504995 | 0.252497 | − | 0.967598i | \(-0.418748\pi\) | ||||
0.252497 | + | 0.967598i | \(0.418748\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 17.6274 | 0.607842 | ||||||||
\(842\) | −11.1713 | + | 6.44975i | −0.384988 | + | 0.222273i | ||||
\(843\) | 0.717439 | + | 0.414214i | 0.0247099 | + | 0.0142663i | ||||
\(844\) | −9.52082 | + | 16.4905i | −0.327720 | + | 0.567628i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 5.65685 | + | 9.79796i | 0.194487 | + | 0.336861i | ||||
\(847\) | 0.174080 | − | 0.100505i | 0.00598146 | − | 0.00345339i | ||||
\(848\) | −15.1427 | + | 8.74264i | −0.520002 | + | 0.300224i | ||||
\(849\) | −2.82843 | + | 4.89898i | −0.0970714 | + | 0.168133i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 2.00000 | − | 3.46410i | 0.0685591 | − | 0.118748i | ||||
\(852\) | − | 0.0538239i | − | 0.00184398i | ||||||
\(853\) | 15.5147i | 0.531214i | 0.964081 | + | 0.265607i | \(0.0855723\pi\) | ||||
−0.964081 | + | 0.265607i | \(0.914428\pi\) | |||||||
\(854\) | 0.242641 | − | 0.420266i | 0.00830299 | − | 0.0143812i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 9.84315 | − | 17.0488i | 0.336432 | − | 0.582717i | ||||
\(857\) | −16.8747 | + | 9.74264i | −0.576430 | + | 0.332802i | −0.759714 | − | 0.650258i | \(-0.774661\pi\) |
0.183283 | + | 0.983060i | \(0.441328\pi\) | |||||||
\(858\) | 1.84458 | − | 1.06497i | 0.0629731 | − | 0.0363575i | ||||
\(859\) | −24.6924 | − | 42.7685i | −0.842493 | − | 1.45924i | −0.887780 | − | 0.460267i | \(-0.847754\pi\) |
0.0452869 | − | 0.998974i | \(-0.485580\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −0.642136 | + | 1.11221i | −0.0218839 | + | 0.0379041i | ||||
\(862\) | 6.01119 | + | 3.47056i | 0.204742 | + | 0.118208i | ||||
\(863\) | 2.26485 | − | 1.30761i | 0.0770964 | − | 0.0445116i | −0.460956 | − | 0.887423i | \(-0.652493\pi\) |
0.538053 | + | 0.842911i | \(0.319160\pi\) | |||||||
\(864\) | 10.6569 | 0.362554 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 11.2304 | 0.381626 | ||||||||
\(867\) | 7.02944i | 0.238732i | ||||||||
\(868\) | −4.20703 | − | 0.286797i | −0.142796 | − | 0.00973451i | ||||
\(869\) | 21.9117 | 0.743303 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 6.20711 | − | 10.7510i | 0.210320 | − | 0.364285i | ||||
\(872\) | 17.1716i | 0.581503i | ||||||||
\(873\) | 12.6677 | − | 7.31371i | 0.428737 | − | 0.247532i | ||||
\(874\) | −3.65685 | + | 6.33386i | −0.123695 | + | 0.214246i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 1.38478 | 0.0467873 | ||||||||
\(877\) | 46.6168 | − | 26.9142i | 1.57414 | − | 0.908828i | 0.578483 | − | 0.815694i | \(-0.303645\pi\) |
0.995654 | − | 0.0931343i | \(-0.0296886\pi\) | |||||||
\(878\) | −0.742932 | + | 0.428932i | −0.0250728 | + | 0.0144758i | ||||
\(879\) | 3.06497 | + | 5.30869i | 0.103379 | + | 0.179058i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −5.84315 | − | 10.1206i | −0.196861 | − | 0.340973i | 0.750648 | − | 0.660702i | \(-0.229741\pi\) |
−0.947509 | + | 0.319729i | \(0.896408\pi\) | |||||||
\(882\) | −6.92820 | − | 4.00000i | −0.233285 | − | 0.134687i | ||||
\(883\) | 30.2843i | 1.01915i | 0.860427 | + | 0.509573i | \(0.170197\pi\) | ||||
−0.860427 | + | 0.509573i | \(0.829803\pi\) | |||||||
\(884\) | 40.7990 | 1.37222 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0.985281 | + | 1.70656i | 0.0331012 | + | 0.0573329i | ||||
\(887\) | 44.4495 | + | 25.6630i | 1.49247 | + | 0.861678i | 0.999963 | − | 0.00863117i | \(-0.00274742\pi\) |
0.492507 | + | 0.870309i | \(0.336081\pi\) | |||||||
\(888\) | 0.568852 | − | 0.328427i | 0.0190894 | − | 0.0110213i | ||||
\(889\) | −1.84315 | − | 3.19242i | −0.0618171 | − | 0.107070i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 24.2721 | 0.813145 | ||||||||
\(892\) | −37.5723 | − | 21.6924i | −1.25801 | − | 0.726315i | ||||
\(893\) | 36.9164 | + | 21.3137i | 1.23536 | + | 0.713236i | ||||
\(894\) | 0.0857864 | + | 0.148586i | 0.00286913 | + | 0.00496947i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −2.18629 | + | 3.78677i | −0.0730389 | + | 0.126507i | ||||
\(897\) | 6.34315i | 0.211791i | ||||||||
\(898\) | 16.8284i | 0.561572i | ||||||||
\(899\) | −34.1421 | + | 16.7262i | −1.13870 | + | 0.557849i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −33.9706 | −1.13172 | ||||||||
\(902\) | 8.70687 | + | 5.02691i | 0.289907 | + | 0.167378i | ||||
\(903\) | − | 1.87006i | − | 0.0622316i | ||||||
\(904\) | −13.2071 | − | 22.8754i | −0.439262 | − | 0.760824i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −0.455844 | + | 0.789545i | −0.0151444 | + | 0.0262309i | ||||
\(907\) | 32.6863i | 1.08533i | 0.839949 | + | 0.542665i | \(0.182585\pi\) | ||||
−0.839949 | + | 0.542665i | \(0.817415\pi\) | |||||||
\(908\) | −29.1583 | + | 16.8345i | −0.967651 | + | 0.558673i | ||||
\(909\) | 12.0000 | + | 20.7846i | 0.398015 | + | 0.689382i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −0.479185 | + | 0.829972i | −0.0158761 | + | 0.0274982i | −0.873854 | − | 0.486188i | \(-0.838387\pi\) |
0.857978 | + | 0.513686i | \(0.171720\pi\) | |||||||
\(912\) | 4.75039 | − | 2.74264i | 0.157301 | − | 0.0908179i | ||||
\(913\) | −28.2817 | − | 16.3284i | −0.935987 | − | 0.540392i | ||||
\(914\) | 12.8873 | 0.426274 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −5.01472 | + | 8.68575i | −0.165691 | + | 0.286985i | ||||
\(917\) | 4.75039 | − | 2.74264i | 0.156872 | − | 0.0905700i | ||||
\(918\) | 5.04757 | + | 2.91421i | 0.166595 | + | 0.0961834i | ||||
\(919\) | −17.4497 | − | 30.2238i | −0.575614 | − | 0.996993i | −0.995975 | − | 0.0896356i | \(-0.971430\pi\) |
0.420361 | − | 0.907357i | \(-0.361904\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 2.32843 | + | 4.03295i | 0.0767243 | + | 0.132890i | ||||
\(922\) | − | 0.887302i | − | 0.0292217i | ||||||
\(923\) | −0.235626 | − | 0.136039i | −0.00775574 | − | 0.00447778i | ||||
\(924\) | 0.508622 | − | 0.880959i | 0.0167324 | − | 0.0289814i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −3.71573 | −0.122106 | ||||||||
\(927\) | 5.07306 | + | 2.92893i | 0.166621 | + | 0.0961988i | ||||
\(928\) | 30.1421i | 0.989464i | ||||||||
\(929\) | −7.51472 | −0.246550 | −0.123275 | − | 0.992373i | \(-0.539340\pi\) | ||||
−0.123275 | + | 0.992373i | \(0.539340\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −30.1421 | −0.987869 | ||||||||
\(932\) | 16.7696i | 0.549305i | ||||||||
\(933\) | 4.05845 | + | 2.34315i | 0.132868 | + | 0.0767111i | ||||
\(934\) | 3.31371 | 0.108428 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 8.58579 | − | 14.8710i | 0.280635 | − | 0.486074i | ||||
\(937\) | −13.5847 | − | 7.84315i | −0.443794 | − | 0.256224i | 0.261412 | − | 0.965227i | \(-0.415812\pi\) |
−0.705206 | + | 0.709003i | \(0.749145\pi\) | |||||||
\(938\) | 0.556349i | 0.0181654i | ||||||||
\(939\) | −0.378680 | − | 0.655892i | −0.0123577 | − | 0.0214042i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 17.5000 | + | 30.3109i | 0.570484 | + | 0.988107i | 0.996516 | + | 0.0833989i | \(0.0265776\pi\) |
−0.426033 | + | 0.904708i | \(0.640089\pi\) | |||||||
\(942\) | −1.36277 | − | 0.786797i | −0.0444015 | − | 0.0256352i | ||||
\(943\) | −25.9298 | + | 14.9706i | −0.844390 | + | 0.487509i | ||||
\(944\) | 6.10660 | − | 10.5769i | 0.198753 | − | 0.344250i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −14.6396 | −0.475975 | ||||||||
\(947\) | −16.5415 | − | 9.55025i | −0.537527 | − | 0.310342i | 0.206549 | − | 0.978436i | \(-0.433777\pi\) |
−0.744076 | + | 0.668095i | \(0.767110\pi\) | |||||||
\(948\) | −4.43210 | + | 2.55887i | −0.143948 | + | 0.0831084i | ||||
\(949\) | 3.50000 | − | 6.06218i | 0.113615 | − | 0.196787i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 1.62132 | + | 2.80821i | 0.0525749 | + | 0.0910624i | ||||
\(952\) | −3.31552 | + | 1.91421i | −0.107456 | + | 0.0620400i | ||||
\(953\) | − | 3.51472i | − | 0.113853i | −0.998378 | − | 0.0569265i | \(-0.981870\pi\) | ||
0.998378 | − | 0.0569265i | \(-0.0181301\pi\) | |||||||
\(954\) | −3.41421 | + | 5.91359i | −0.110539 | + | 0.191460i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −19.4203 | − | 33.6370i | −0.628098 | − | 1.08790i | ||||
\(957\) | − | 9.17157i | − | 0.296475i | ||||||
\(958\) | −5.64191 | − | 3.25736i | −0.182282 | − | 0.105241i | ||||
\(959\) | 3.92893 | 0.126872 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 19.0000 | − | 24.4949i | 0.612903 | − | 0.790158i | ||||
\(962\) | − | 1.58579i | − | 0.0511278i | ||||||
\(963\) | 35.1127i | 1.13149i | ||||||||
\(964\) | −12.1985 | + | 21.1284i | −0.392887 | + | 0.680500i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −0.142136 | − | 0.246186i | −0.00457314 | − | 0.00792091i | ||||
\(967\) | 13.3746 | + | 7.72183i | 0.430098 | + | 0.248317i | 0.699388 | − | 0.714742i | \(-0.253456\pi\) |
−0.269290 | + | 0.963059i | \(0.586789\pi\) | |||||||
\(968\) | 0.666452 | + | 0.384776i | 0.0214206 | + | 0.0123672i | ||||
\(969\) | 10.6569 | 0.342347 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 0.349242 | + | 0.604906i | 0.0112077 | + | 0.0194123i | 0.871575 | − | 0.490262i | \(-0.163099\pi\) |
−0.860367 | + | 0.509675i | \(0.829766\pi\) | |||||||
\(972\) | −16.3780 | + | 9.45584i | −0.525325 | + | 0.303296i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 4.01472 | + | 6.95370i | 0.128640 | + | 0.222811i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −8.48528 | −0.271607 | ||||||||
\(977\) | − | 0.485281i | − | 0.0155255i | −0.999970 | − | 0.00776276i | \(-0.997529\pi\) | ||
0.999970 | − | 0.00776276i | \(-0.00247099\pi\) | |||||||
\(978\) | 3.11594 | + | 1.79899i | 0.0996368 | + | 0.0575254i | ||||
\(979\) | 7.27208 | + | 12.5956i | 0.232417 | + | 0.402557i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −15.3137 | − | 26.5241i | −0.488929 | − | 0.846850i | ||||
\(982\) | 0.568852 | − | 0.328427i | 0.0181528 | − | 0.0104805i | ||||
\(983\) | 33.6370 | − | 19.4203i | 1.07285 | − | 0.619412i | 0.143893 | − | 0.989593i | \(-0.454038\pi\) |
0.928959 | + | 0.370182i | \(0.120705\pi\) | |||||||
\(984\) | −4.91674 | −0.156740 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −8.24264 | + | 14.2767i | −0.262499 | + | 0.454662i | ||||
\(987\) | −1.43488 | + | 0.828427i | −0.0456727 | + | 0.0263691i | ||||
\(988\) | − | 30.8995i | − | 0.983044i | ||||||
\(989\) | 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 | \(0.224488\pi\) | |||||||
\(992\) | −10.8126 | − | 22.0711i | −0.343299 | − | 0.700757i | ||||
\(993\) | − | 3.82843i | − | 0.121491i | ||||||
\(994\) | 0.0121933 | 0.000386748 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 7.62742 | 0.241684 | ||||||||
\(997\) | 28.2307 | − | 16.2990i | 0.894075 | − | 0.516194i | 0.0188015 | − | 0.999823i | \(-0.494015\pi\) |
0.875273 | + | 0.483629i | \(0.160682\pi\) | |||||||
\(998\) | −0.793919 | − | 0.458369i | −0.0251311 | − | 0.0145094i | ||||
\(999\) | −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 \(a_p\))