Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [475,2,Mod(26,475)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(475, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("475.26");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 475 = 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 475.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: | \(3.79289409601\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{12} - 3 x^{11} + 17 x^{10} - 18 x^{9} + 109 x^{8} - 93 x^{7} + 484 x^{6} - 147 x^{5} + 1009 x^{4} - 552 x^{3} + 1107 x^{2} + 33 x + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 201.2 | ||
Root | \(1.20634 + 2.08945i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 475.201 |
Dual form | 475.2.e.f.26.2 |
$q$-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 \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.08504 | + | 1.87935i | −0.767241 | + | 1.32890i | 0.171812 | + | 0.985130i | \(0.445038\pi\) |
−0.939053 | + | 0.343771i | \(0.888295\pi\) | |||||||
\(3\) | 0.706345 | − | 1.22342i | 0.407808 | − | 0.706345i | −0.586836 | − | 0.809706i | \(-0.699627\pi\) |
0.994644 | + | 0.103361i | \(0.0329598\pi\) | |||||||
\(4\) | −1.35464 | − | 2.34630i | −0.677319 | − | 1.17315i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 1.53283 | + | 2.65494i | 0.625775 | + | 1.08387i | ||||
\(7\) | −1.76171 | −0.665862 | −0.332931 | − | 0.942951i | \(-0.608038\pi\) | ||||
−0.332931 | + | 0.942951i | \(0.608038\pi\) | |||||||
\(8\) | 1.53919 | 0.544185 | ||||||||
\(9\) | 0.502155 | + | 0.869757i | 0.167385 | + | 0.289919i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.83810 | 0.554208 | 0.277104 | − | 0.960840i | \(-0.410625\pi\) | ||||
0.277104 | + | 0.960840i | \(0.410625\pi\) | |||||||
\(12\) | −3.82736 | −1.10486 | ||||||||
\(13\) | 1.30242 | + | 2.25586i | 0.361227 | + | 0.625664i | 0.988163 | − | 0.153407i | \(-0.0490245\pi\) |
−0.626936 | + | 0.779071i | \(0.715691\pi\) | |||||||
\(14\) | 1.91153 | − | 3.31086i | 0.510877 | − | 0.884865i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.03919 | − | 1.79993i | 0.259797 | − | 0.449982i | ||||
\(17\) | −2.11787 | + | 3.66826i | −0.513659 | + | 0.889684i | 0.486215 | + | 0.873839i | \(0.338377\pi\) |
−0.999874 | + | 0.0158451i | \(0.994956\pi\) | |||||||
\(18\) | −2.17944 | −0.513698 | ||||||||
\(19\) | 4.01936 | + | 1.68664i | 0.922104 | + | 0.386943i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.24437 | + | 2.15532i | −0.271544 | + | 0.470328i | ||||
\(22\) | −1.99442 | + | 3.45443i | −0.425211 | + | 0.736487i | ||||
\(23\) | 1.10274 | + | 1.91001i | 0.229938 | + | 0.398264i | 0.957790 | − | 0.287470i | \(-0.0928143\pi\) |
−0.727851 | + | 0.685735i | \(0.759481\pi\) | |||||||
\(24\) | 1.08720 | − | 1.88308i | 0.221923 | − | 0.384382i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −5.65274 | −1.10859 | ||||||||
\(27\) | 5.65684 | 1.08866 | ||||||||
\(28\) | 2.38647 | + | 4.13349i | 0.451001 | + | 0.781157i | ||||
\(29\) | 3.56413 | + | 6.17325i | 0.661842 | + | 1.14634i | 0.980131 | + | 0.198351i | \(0.0635585\pi\) |
−0.318289 | + | 0.947994i | \(0.603108\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.303952 | 0.0545913 | 0.0272957 | − | 0.999627i | \(-0.491310\pi\) | ||||
0.0272957 | + | 0.999627i | \(0.491310\pi\) | |||||||
\(32\) | 3.79432 | + | 6.57195i | 0.670747 | + | 1.16177i | ||||
\(33\) | 1.29833 | − | 2.24878i | 0.226010 | − | 0.391462i | ||||
\(34\) | −4.59597 | − | 7.96045i | −0.788202 | − | 1.36521i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.36047 | − | 2.35641i | 0.226746 | − | 0.392735i | ||||
\(37\) | 3.90376 | 0.641774 | 0.320887 | − | 0.947118i | \(-0.396019\pi\) | ||||
0.320887 | + | 0.947118i | \(0.396019\pi\) | |||||||
\(38\) | −7.53097 | + | 5.72370i | −1.22168 | + | 0.928506i | ||||
\(39\) | 3.67984 | 0.589246 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −4.11981 | + | 7.13572i | −0.643406 | + | 1.11441i | 0.341261 | + | 0.939969i | \(0.389146\pi\) |
−0.984667 | + | 0.174444i | \(0.944187\pi\) | |||||||
\(42\) | −2.70039 | − | 4.67722i | −0.416680 | − | 0.721711i | ||||
\(43\) | −1.17451 | + | 2.03431i | −0.179111 | + | 0.310229i | −0.941576 | − | 0.336800i | \(-0.890655\pi\) |
0.762465 | + | 0.647029i | \(0.223989\pi\) | |||||||
\(44\) | −2.48996 | − | 4.31273i | −0.375375 | − | 0.650169i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.78610 | −0.705672 | ||||||||
\(47\) | 3.62738 | + | 6.28281i | 0.529108 | + | 0.916441i | 0.999424 | + | 0.0339433i | \(0.0108066\pi\) |
−0.470316 | + | 0.882498i | \(0.655860\pi\) | |||||||
\(48\) | −1.46805 | − | 2.54274i | −0.211895 | − | 0.367013i | ||||
\(49\) | −3.89639 | −0.556627 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.99190 | + | 5.18211i | 0.418949 | + | 0.725641i | ||||
\(52\) | 3.52862 | − | 6.11176i | 0.489332 | − | 0.847548i | ||||
\(53\) | −5.31020 | − | 9.19753i | −0.729412 | − | 1.26338i | −0.957132 | − | 0.289652i | \(-0.906460\pi\) |
0.227720 | − | 0.973727i | \(-0.426873\pi\) | |||||||
\(54\) | −6.13792 | + | 10.6312i | −0.835265 | + | 1.44672i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −2.71160 | −0.362353 | ||||||||
\(57\) | 4.90253 | − | 3.72603i | 0.649356 | − | 0.493525i | ||||
\(58\) | −15.4689 | −2.03117 | ||||||||
\(59\) | 6.02692 | − | 10.4389i | 0.784638 | − | 1.35903i | −0.144578 | − | 0.989493i | \(-0.546182\pi\) |
0.929215 | − | 0.369539i | \(-0.120484\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.26716 | − | 9.12299i | −0.674390 | − | 1.16808i | −0.976647 | − | 0.214852i | \(-0.931073\pi\) |
0.302256 | − | 0.953227i | \(-0.402260\pi\) | |||||||
\(62\) | −0.329801 | + | 0.571231i | −0.0418847 | + | 0.0725464i | ||||
\(63\) | −0.884649 | − | 1.53226i | −0.111455 | − | 0.193046i | ||||
\(64\) | −12.3112 | −1.53891 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 2.81749 | + | 4.88004i | 0.346809 | + | 0.600691i | ||||
\(67\) | −6.51579 | − | 11.2857i | −0.796031 | − | 1.37877i | −0.922183 | − | 0.386755i | \(-0.873596\pi\) |
0.126152 | − | 0.992011i | \(-0.459737\pi\) | |||||||
\(68\) | 11.4758 | 1.39164 | ||||||||
\(69\) | 3.11567 | 0.375083 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −5.91294 | + | 10.2415i | −0.701737 | + | 1.21544i | 0.266119 | + | 0.963940i | \(0.414259\pi\) |
−0.967856 | + | 0.251504i | \(0.919075\pi\) | |||||||
\(72\) | 0.772911 | + | 1.33872i | 0.0910884 | + | 0.157770i | ||||
\(73\) | 4.58454 | − | 7.94066i | 0.536580 | − | 0.929384i | −0.462505 | − | 0.886617i | \(-0.653049\pi\) |
0.999085 | − | 0.0427676i | \(-0.0136175\pi\) | |||||||
\(74\) | −4.23574 | + | 7.33652i | −0.492395 | + | 0.852854i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.48740 | − | 11.7154i | −0.170616 | − | 1.34385i | ||||
\(77\) | −3.23819 | −0.369026 | ||||||||
\(78\) | −3.99278 | + | 6.91571i | −0.452094 | + | 0.783049i | ||||
\(79\) | −3.94192 | + | 6.82761i | −0.443501 | + | 0.768167i | −0.997946 | − | 0.0640536i | \(-0.979597\pi\) |
0.554445 | + | 0.832220i | \(0.312930\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 2.48922 | − | 4.31145i | 0.276580 | − | 0.479050i | ||||
\(82\) | −8.94034 | − | 15.4851i | −0.987296 | − | 1.71005i | ||||
\(83\) | 6.93584 | 0.761307 | 0.380654 | − | 0.924718i | \(-0.375699\pi\) | ||||
0.380654 | + | 0.924718i | \(0.375699\pi\) | |||||||
\(84\) | 6.74269 | 0.735688 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −2.54879 | − | 4.41463i | −0.274843 | − | 0.476041i | ||||
\(87\) | 10.0700 | 1.07962 | ||||||||
\(88\) | 2.82918 | 0.301592 | ||||||||
\(89\) | 6.23646 | + | 10.8019i | 0.661063 | + | 1.14500i | 0.980337 | + | 0.197333i | \(0.0632279\pi\) |
−0.319273 | + | 0.947663i | \(0.603439\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.29449 | − | 3.97417i | −0.240528 | − | 0.416606i | ||||
\(92\) | 2.98764 | − | 5.17474i | 0.311483 | − | 0.539504i | ||||
\(93\) | 0.214695 | − | 0.371862i | 0.0222628 | − | 0.0385603i | ||||
\(94\) | −15.7435 | −1.62381 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 10.7204 | 1.09414 | ||||||||
\(97\) | −3.87944 | + | 6.71939i | −0.393898 | + | 0.682251i | −0.992960 | − | 0.118452i | \(-0.962207\pi\) |
0.599062 | + | 0.800703i | \(0.295540\pi\) | |||||||
\(98\) | 4.22775 | − | 7.32268i | 0.427067 | − | 0.739703i | ||||
\(99\) | 0.923009 | + | 1.59870i | 0.0927659 | + | 0.160675i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.43509 | − | 2.48565i | −0.142797 | − | 0.247331i | 0.785752 | − | 0.618542i | \(-0.212276\pi\) |
−0.928549 | + | 0.371210i | \(0.878943\pi\) | |||||||
\(102\) | −12.9853 | −1.28574 | ||||||||
\(103\) | 7.62702 | 0.751513 | 0.375756 | − | 0.926718i | \(-0.377383\pi\) | ||||
0.375756 | + | 0.926718i | \(0.377383\pi\) | |||||||
\(104\) | 2.00468 | + | 3.47220i | 0.196575 | + | 0.340477i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 23.0472 | 2.23854 | ||||||||
\(107\) | 6.43891 | 0.622473 | 0.311236 | − | 0.950333i | \(-0.399257\pi\) | ||||
0.311236 | + | 0.950333i | \(0.399257\pi\) | |||||||
\(108\) | −7.66297 | − | 13.2727i | −0.737370 | − | 1.27716i | ||||
\(109\) | 5.35464 | − | 9.27450i | 0.512881 | − | 0.888336i | −0.487007 | − | 0.873398i | \(-0.661911\pi\) |
0.999888 | − | 0.0149384i | \(-0.00475523\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.75740 | − | 4.77595i | 0.261721 | − | 0.453313i | ||||
\(112\) | −1.83075 | + | 3.17094i | −0.172989 | + | 0.299626i | ||||
\(113\) | 12.6800 | 1.19283 | 0.596417 | − | 0.802674i | \(-0.296590\pi\) | ||||
0.596417 | + | 0.802674i | \(0.296590\pi\) | |||||||
\(114\) | 1.68305 | + | 13.2565i | 0.157632 | + | 1.24158i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 9.65621 | − | 16.7250i | 0.896556 | − | 1.55288i | ||||
\(117\) | −1.30804 | + | 2.26558i | −0.120928 | + | 0.209453i | ||||
\(118\) | 13.0789 | + | 22.6534i | 1.20401 | + | 2.08541i | ||||
\(119\) | 3.73107 | − | 6.46240i | 0.342027 | − | 0.592407i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.62139 | −0.692854 | ||||||||
\(122\) | 22.8604 | 2.06968 | ||||||||
\(123\) | 5.82001 | + | 10.0806i | 0.524773 | + | 0.908933i | ||||
\(124\) | −0.411744 | − | 0.713162i | −0.0369757 | − | 0.0640438i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 3.83953 | 0.342052 | ||||||||
\(127\) | 7.60506 | + | 13.1724i | 0.674840 | + | 1.16886i | 0.976516 | + | 0.215447i | \(0.0691208\pi\) |
−0.301675 | + | 0.953411i | \(0.597546\pi\) | |||||||
\(128\) | 5.76959 | − | 9.99323i | 0.509965 | − | 0.883285i | ||||
\(129\) | 1.65922 | + | 2.87385i | 0.146086 | + | 0.253028i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 3.52804 | − | 6.11075i | 0.308246 | − | 0.533898i | −0.669733 | − | 0.742602i | \(-0.733591\pi\) |
0.977979 | + | 0.208704i | \(0.0669246\pi\) | |||||||
\(132\) | −7.03507 | −0.612324 | ||||||||
\(133\) | −7.08093 | − | 2.97137i | −0.613994 | − | 0.257651i | ||||
\(134\) | 28.2797 | 2.44299 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.25981 | + | 5.64615i | −0.279526 | + | 0.484153i | ||||
\(137\) | −11.1936 | − | 19.3878i | −0.956331 | − | 1.65641i | −0.731291 | − | 0.682065i | \(-0.761082\pi\) |
−0.225040 | − | 0.974350i | \(-0.572251\pi\) | |||||||
\(138\) | −3.38064 | + | 5.85543i | −0.287779 | + | 0.498448i | ||||
\(139\) | −9.38099 | − | 16.2484i | −0.795685 | − | 1.37817i | −0.922403 | − | 0.386229i | \(-0.873777\pi\) |
0.126717 | − | 0.991939i | \(-0.459556\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 10.2487 | 0.863098 | ||||||||
\(142\) | −12.8316 | − | 22.2250i | −1.07680 | − | 1.86508i | ||||
\(143\) | 2.39398 | + | 4.14650i | 0.200195 | + | 0.346748i | ||||
\(144\) | 2.08733 | 0.173944 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 9.94886 | + | 17.2319i | 0.823373 | + | 1.42612i | ||||
\(147\) | −2.75219 | + | 4.76694i | −0.226997 | + | 0.393171i | ||||
\(148\) | −5.28818 | − | 9.15939i | −0.434685 | − | 0.752897i | ||||
\(149\) | −9.07030 | + | 15.7102i | −0.743068 | + | 1.28703i | 0.208024 | + | 0.978124i | \(0.433297\pi\) |
−0.951092 | + | 0.308907i | \(0.900037\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.71348 | 0.220820 | 0.110410 | − | 0.993886i | \(-0.464784\pi\) | ||||
0.110410 | + | 0.993886i | \(0.464784\pi\) | |||||||
\(152\) | 6.18655 | + | 2.59606i | 0.501795 | + | 0.210569i | ||||
\(153\) | −4.25400 | −0.343915 | ||||||||
\(154\) | 3.51358 | − | 6.08569i | 0.283132 | − | 0.490399i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −4.98485 | − | 8.63401i | −0.399107 | − | 0.691274i | ||||
\(157\) | −0.638899 | + | 1.10660i | −0.0509897 | + | 0.0883167i | −0.890394 | − | 0.455191i | \(-0.849571\pi\) |
0.839404 | + | 0.543508i | \(0.182904\pi\) | |||||||
\(158\) | −8.55432 | − | 14.8165i | −0.680545 | − | 1.17874i | ||||
\(159\) | −15.0033 | −1.18984 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.94271 | − | 3.36488i | −0.153107 | − | 0.265189i | ||||
\(162\) | 5.40182 | + | 9.35622i | 0.424407 | + | 0.735094i | ||||
\(163\) | 7.74374 | 0.606537 | 0.303268 | − | 0.952905i | \(-0.401922\pi\) | ||||
0.303268 | + | 0.952905i | \(0.401922\pi\) | |||||||
\(164\) | 22.3234 | 1.74316 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −7.52568 | + | 13.0349i | −0.584106 | + | 1.01170i | ||||
\(167\) | −3.42446 | − | 5.93135i | −0.264993 | − | 0.458981i | 0.702569 | − | 0.711616i | \(-0.252036\pi\) |
−0.967562 | + | 0.252635i | \(0.918703\pi\) | |||||||
\(168\) | −1.91532 | + | 3.31744i | −0.147770 | + | 0.255946i | ||||
\(169\) | 3.10739 | − | 5.38215i | 0.239030 | − | 0.414012i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.551367 | + | 4.34282i | 0.0421641 | + | 0.332104i | ||||
\(172\) | 6.36413 | 0.485261 | ||||||||
\(173\) | −4.10680 | + | 7.11319i | −0.312234 | + | 0.540806i | −0.978846 | − | 0.204600i | \(-0.934411\pi\) |
0.666611 | + | 0.745405i | \(0.267744\pi\) | |||||||
\(174\) | −10.9264 | + | 18.9251i | −0.828328 | + | 1.43471i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 1.91013 | − | 3.30844i | 0.143982 | − | 0.249383i | ||||
\(177\) | −8.51416 | − | 14.7470i | −0.639963 | − | 1.10845i | ||||
\(178\) | −27.0673 | −2.02878 | ||||||||
\(179\) | 4.46213 | 0.333515 | 0.166758 | − | 0.985998i | \(-0.446670\pi\) | ||||
0.166758 | + | 0.985998i | \(0.446670\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.77070 | − | 6.53105i | −0.280274 | − | 0.485449i | 0.691178 | − | 0.722685i | \(-0.257092\pi\) |
−0.971452 | + | 0.237235i | \(0.923759\pi\) | |||||||
\(182\) | 9.95847 | 0.738171 | ||||||||
\(183\) | −14.8817 | −1.10009 | ||||||||
\(184\) | 1.69733 | + | 2.93986i | 0.125129 | + | 0.216730i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0.465906 | + | 0.806972i | 0.0341619 | + | 0.0591701i | ||||
\(187\) | −3.89286 | + | 6.74263i | −0.284674 | + | 0.493070i | ||||
\(188\) | 9.82757 | − | 17.0219i | 0.716749 | − | 1.24145i | ||||
\(189\) | −9.96570 | −0.724898 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −13.7765 | −0.996834 | −0.498417 | − | 0.866938i | \(-0.666085\pi\) | ||||
−0.498417 | + | 0.866938i | \(0.666085\pi\) | |||||||
\(192\) | −8.69598 | + | 15.0619i | −0.627578 | + | 1.08700i | ||||
\(193\) | 4.24539 | − | 7.35324i | 0.305590 | − | 0.529297i | −0.671802 | − | 0.740730i | \(-0.734480\pi\) |
0.977393 | + | 0.211433i | \(0.0678130\pi\) | |||||||
\(194\) | −8.41872 | − | 14.5817i | −0.604429 | − | 1.04690i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 5.27820 | + | 9.14211i | 0.377014 | + | 0.653008i | ||||
\(197\) | 2.87111 | 0.204558 | 0.102279 | − | 0.994756i | \(-0.467387\pi\) | ||||
0.102279 | + | 0.994756i | \(0.467387\pi\) | |||||||
\(198\) | −4.00602 | −0.284695 | ||||||||
\(199\) | −11.4245 | − | 19.7879i | −0.809865 | − | 1.40273i | −0.912957 | − | 0.408055i | \(-0.866207\pi\) |
0.103092 | − | 0.994672i | \(-0.467126\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −18.4096 | −1.29851 | ||||||||
\(202\) | 6.22854 | 0.438238 | ||||||||
\(203\) | −6.27895 | − | 10.8755i | −0.440696 | − | 0.763308i | ||||
\(204\) | 8.10587 | − | 14.0398i | 0.567524 | − | 0.982981i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −8.27565 | + | 14.3338i | −0.576592 | + | 0.998686i | ||||
\(207\) | −1.10750 | + | 1.91824i | −0.0769763 | + | 0.133327i | ||||
\(208\) | 5.41386 | 0.375383 | ||||||||
\(209\) | 7.38797 | + | 3.10022i | 0.511037 | + | 0.214447i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.04497 | − | 12.2022i | 0.484995 | − | 0.840037i | −0.514856 | − | 0.857277i | \(-0.672155\pi\) |
0.999851 | + | 0.0172400i | \(0.00548794\pi\) | |||||||
\(212\) | −14.3868 | + | 24.9187i | −0.988089 | + | 1.71142i | ||||
\(213\) | 8.35315 | + | 14.4681i | 0.572348 | + | 0.991337i | ||||
\(214\) | −6.98650 | + | 12.1010i | −0.477587 | + | 0.827205i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 8.70695 | 0.592433 | ||||||||
\(217\) | −0.535473 | −0.0363503 | ||||||||
\(218\) | 11.6200 | + | 20.1265i | 0.787008 | + | 1.36314i | ||||
\(219\) | −6.47654 | − | 11.2177i | −0.437644 | − | 0.758021i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −11.0335 | −0.742191 | ||||||||
\(222\) | 5.98379 | + | 10.3642i | 0.401606 | + | 0.695602i | ||||
\(223\) | −8.55095 | + | 14.8107i | −0.572614 | + | 0.991796i | 0.423683 | + | 0.905811i | \(0.360737\pi\) |
−0.996296 | + | 0.0859855i | \(0.972596\pi\) | |||||||
\(224\) | −6.68448 | − | 11.5779i | −0.446625 | − | 0.773578i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −13.7584 | + | 23.8302i | −0.915192 | + | 1.58516i | ||||
\(227\) | 10.2807 | 0.682356 | 0.341178 | − | 0.939999i | \(-0.389174\pi\) | ||||
0.341178 | + | 0.939999i | \(0.389174\pi\) | |||||||
\(228\) | −15.3835 | − | 6.45540i | −1.01880 | − | 0.427519i | ||||
\(229\) | 12.8863 | 0.851553 | 0.425777 | − | 0.904828i | \(-0.360001\pi\) | ||||
0.425777 | + | 0.904828i | \(0.360001\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.28728 | + | 3.96168i | −0.150492 | + | 0.260659i | ||||
\(232\) | 5.48587 | + | 9.50180i | 0.360165 | + | 0.623824i | ||||
\(233\) | −0.497436 | + | 0.861584i | −0.0325881 | + | 0.0564442i | −0.881859 | − | 0.471512i | \(-0.843708\pi\) |
0.849271 | + | 0.527957i | \(0.177042\pi\) | |||||||
\(234\) | −2.83855 | − | 4.91651i | −0.185562 | − | 0.321403i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −32.6571 | −2.12580 | ||||||||
\(237\) | 5.56871 | + | 9.64530i | 0.361727 | + | 0.626529i | ||||
\(238\) | 8.09674 | + | 14.0240i | 0.524834 | + | 0.909039i | ||||
\(239\) | −0.764329 | −0.0494404 | −0.0247202 | − | 0.999694i | \(-0.507869\pi\) | ||||
−0.0247202 | + | 0.999694i | \(0.507869\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 6.27892 | + | 10.8754i | 0.404461 | + | 0.700547i | 0.994259 | − | 0.107004i | \(-0.0341258\pi\) |
−0.589798 | + | 0.807551i | \(0.700793\pi\) | |||||||
\(242\) | 8.26954 | − | 14.3233i | 0.531586 | − | 0.920735i | ||||
\(243\) | 4.96878 | + | 8.60617i | 0.318747 | + | 0.552086i | ||||
\(244\) | −14.2702 | + | 24.7167i | −0.913555 | + | 1.58232i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −25.2599 | −1.61051 | ||||||||
\(247\) | 1.43007 | + | 11.2638i | 0.0909929 | + | 0.716701i | ||||
\(248\) | 0.467839 | 0.0297078 | ||||||||
\(249\) | 4.89909 | − | 8.48548i | 0.310467 | − | 0.537745i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 4.96004 | + | 8.59105i | 0.313075 | + | 0.542262i | 0.979026 | − | 0.203733i | \(-0.0653075\pi\) |
−0.665951 | + | 0.745995i | \(0.731974\pi\) | |||||||
\(252\) | −2.39676 | + | 4.15131i | −0.150982 | + | 0.261508i | ||||
\(253\) | 2.02695 | + | 3.51078i | 0.127433 | + | 0.220721i | ||||
\(254\) | −33.0073 | −2.07106 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.209275 | + | 0.362476i | 0.0130797 | + | 0.0226547i | ||||
\(257\) | −7.62426 | − | 13.2056i | −0.475588 | − | 0.823743i | 0.524021 | − | 0.851705i | \(-0.324431\pi\) |
−0.999609 | + | 0.0279628i | \(0.991098\pi\) | |||||||
\(258\) | −7.20128 | −0.448332 | ||||||||
\(259\) | −6.87727 | −0.427333 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −3.57949 | + | 6.19985i | −0.221565 | + | 0.383761i | ||||
\(262\) | 7.65615 | + | 13.2608i | 0.472999 | + | 0.819258i | ||||
\(263\) | −3.97607 | + | 6.88675i | −0.245175 | + | 0.424655i | −0.962181 | − | 0.272412i | \(-0.912179\pi\) |
0.717006 | + | 0.697067i | \(0.245512\pi\) | |||||||
\(264\) | 1.99838 | − | 3.46129i | 0.122992 | − | 0.213028i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 13.2674 | − | 10.0835i | 0.813474 | − | 0.618257i | ||||
\(267\) | 17.6204 | 1.07835 | ||||||||
\(268\) | −17.6531 | + | 30.5760i | −1.07833 | + | 1.86773i | ||||
\(269\) | −10.1217 | + | 17.5312i | −0.617128 | + | 1.06890i | 0.372879 | + | 0.927880i | \(0.378371\pi\) |
−0.990007 | + | 0.141018i | \(0.954963\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.41486 | − | 4.18265i | 0.146692 | − | 0.254078i | −0.783311 | − | 0.621630i | \(-0.786471\pi\) |
0.930003 | + | 0.367552i | \(0.119804\pi\) | |||||||
\(272\) | 4.40174 | + | 7.62403i | 0.266895 | + | 0.462275i | ||||
\(273\) | −6.48280 | −0.392357 | ||||||||
\(274\) | 48.5820 | 2.93495 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −4.22060 | − | 7.31030i | −0.254050 | − | 0.440028i | ||||
\(277\) | −26.4360 | −1.58839 | −0.794194 | − | 0.607665i | \(-0.792106\pi\) | ||||
−0.794194 | + | 0.607665i | \(0.792106\pi\) | |||||||
\(278\) | 40.7151 | 2.44193 | ||||||||
\(279\) | 0.152631 | + | 0.264364i | 0.00913776 | + | 0.0158271i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −2.64587 | − | 4.58278i | −0.157839 | − | 0.273386i | 0.776250 | − | 0.630425i | \(-0.217119\pi\) |
−0.934089 | + | 0.357040i | \(0.883786\pi\) | |||||||
\(282\) | −11.1203 | + | 19.2609i | −0.662204 | + | 1.14697i | ||||
\(283\) | 9.90480 | − | 17.1556i | 0.588779 | − | 1.01980i | −0.405614 | − | 0.914045i | \(-0.632942\pi\) |
0.994393 | − | 0.105751i | \(-0.0337245\pi\) | |||||||
\(284\) | 32.0396 | 1.90120 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −10.3903 | −0.614391 | ||||||||
\(287\) | 7.25790 | − | 12.5710i | 0.428420 | − | 0.742045i | ||||
\(288\) | −3.81067 | + | 6.60027i | −0.224546 | + | 0.388925i | ||||
\(289\) | −0.470765 | − | 0.815389i | −0.0276921 | − | 0.0479641i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 5.48045 | + | 9.49241i | 0.321269 | + | 0.556455i | ||||
\(292\) | −24.8416 | −1.45374 | ||||||||
\(293\) | 19.3477 | 1.13030 | 0.565152 | − | 0.824987i | \(-0.308817\pi\) | ||||
0.565152 | + | 0.824987i | \(0.308817\pi\) | |||||||
\(294\) | −5.97250 | − | 10.3447i | −0.348323 | − | 0.603314i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 6.00862 | 0.349244 | ||||||||
\(297\) | 10.3978 | 0.603344 | ||||||||
\(298\) | −19.6833 | − | 34.0925i | −1.14022 | − | 1.97493i | ||||
\(299\) | −2.87248 | + | 4.97528i | −0.166120 | + | 0.287728i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.06914 | − | 3.58385i | 0.119263 | − | 0.206570i | ||||
\(302\) | −2.94424 | + | 5.09958i | −0.169422 | + | 0.293448i | ||||
\(303\) | −4.05467 | −0.232935 | ||||||||
\(304\) | 7.21271 | − | 5.48181i | 0.413677 | − | 0.314403i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 4.61577 | − | 7.99475i | 0.263866 | − | 0.457029i | ||||
\(307\) | −14.0604 | + | 24.3533i | −0.802469 | + | 1.38992i | 0.115517 | + | 0.993305i | \(0.463147\pi\) |
−0.917986 | + | 0.396612i | \(0.870186\pi\) | |||||||
\(308\) | 4.38657 | + | 7.59777i | 0.249948 | + | 0.432923i | ||||
\(309\) | 5.38731 | − | 9.33109i | 0.306473 | − | 0.530827i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 2.75320 | 0.156120 | 0.0780598 | − | 0.996949i | \(-0.475127\pi\) | ||||
0.0780598 | + | 0.996949i | \(0.475127\pi\) | |||||||
\(312\) | 5.66397 | 0.320659 | ||||||||
\(313\) | −10.5784 | − | 18.3223i | −0.597924 | − | 1.03564i | −0.993127 | − | 0.117041i | \(-0.962659\pi\) |
0.395203 | − | 0.918594i | \(-0.370674\pi\) | |||||||
\(314\) | −1.38647 | − | 2.40143i | −0.0782428 | − | 0.135520i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 21.3595 | 1.20157 | ||||||||
\(317\) | −15.9665 | − | 27.6548i | −0.896768 | − | 1.55325i | −0.831602 | − | 0.555373i | \(-0.812576\pi\) |
−0.0651661 | − | 0.997874i | \(-0.520758\pi\) | |||||||
\(318\) | 16.2793 | − | 28.1965i | 0.912895 | − | 1.58118i | ||||
\(319\) | 6.55122 | + | 11.3470i | 0.366798 | + | 0.635313i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 4.54809 | − | 7.87752i | 0.253850 | − | 0.439680i | ||||
\(322\) | 8.43170 | 0.469880 | ||||||||
\(323\) | −14.6995 | + | 11.1720i | −0.817904 | + | 0.621624i | ||||
\(324\) | −13.4880 | −0.749331 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −8.40230 | + | 14.5532i | −0.465360 | + | 0.806028i | ||||
\(327\) | −7.56444 | − | 13.1020i | −0.418314 | − | 0.724542i | ||||
\(328\) | −6.34117 | + | 10.9832i | −0.350132 | + | 0.606447i | ||||
\(329\) | −6.39038 | − | 11.0685i | −0.352313 | − | 0.610224i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 35.8528 | 1.97065 | 0.985324 | − | 0.170695i | \(-0.0546013\pi\) | ||||
0.985324 | + | 0.170695i | \(0.0546013\pi\) | |||||||
\(332\) | −9.39555 | − | 16.2736i | −0.515648 | − | 0.893128i | ||||
\(333\) | 1.96029 | + | 3.39532i | 0.107423 | + | 0.186062i | ||||
\(334\) | 14.8628 | 0.813254 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 2.58627 | + | 4.47956i | 0.141093 | + | 0.244380i | ||||
\(337\) | 4.72285 | − | 8.18021i | 0.257270 | − | 0.445605i | −0.708240 | − | 0.705972i | \(-0.750510\pi\) |
0.965510 | + | 0.260368i | \(0.0838437\pi\) | |||||||
\(338\) | 6.74330 | + | 11.6797i | 0.366787 | + | 0.635294i | ||||
\(339\) | 8.95646 | − | 15.5130i | 0.486448 | − | 0.842552i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0.558693 | 0.0302549 | ||||||||
\(342\) | −8.75994 | − | 3.67594i | −0.473683 | − | 0.198772i | ||||
\(343\) | 19.1962 | 1.03650 | ||||||||
\(344\) | −1.80779 | + | 3.13118i | −0.0974695 | + | 0.168822i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −8.91211 | − | 15.4362i | −0.479118 | − | 0.829857i | ||||
\(347\) | −4.64930 | + | 8.05283i | −0.249588 | + | 0.432299i | −0.963411 | − | 0.268027i | \(-0.913628\pi\) |
0.713824 | + | 0.700325i | \(0.246962\pi\) | |||||||
\(348\) | −13.6412 | − | 23.6273i | −0.731246 | − | 1.26656i | ||||
\(349\) | −22.9611 | −1.22908 | −0.614540 | − | 0.788886i | \(-0.710658\pi\) | ||||
−0.614540 | + | 0.788886i | \(0.710658\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 7.36761 | + | 12.7611i | 0.393254 | + | 0.681135i | ||||
\(352\) | 6.97433 | + | 12.0799i | 0.371733 | + | 0.643861i | ||||
\(353\) | −28.2455 | −1.50336 | −0.751679 | − | 0.659529i | \(-0.770756\pi\) | ||||
−0.751679 | + | 0.659529i | \(0.770756\pi\) | |||||||
\(354\) | 36.9529 | 1.96403 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 16.8963 | − | 29.2652i | 0.895501 | − | 1.55105i | ||||
\(357\) | −5.27084 | − | 9.12936i | −0.278962 | − | 0.483177i | ||||
\(358\) | −4.84160 | + | 8.38590i | −0.255887 | + | 0.443209i | ||||
\(359\) | 2.17756 | − | 3.77165i | 0.114927 | − | 0.199060i | −0.802823 | − | 0.596217i | \(-0.796670\pi\) |
0.917751 | + | 0.397157i | \(0.130003\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 13.3105 | + | 13.5585i | 0.700551 | + | 0.713603i | ||||
\(362\) | 16.3655 | 0.860152 | ||||||||
\(363\) | −5.38333 | + | 9.32420i | −0.282552 | + | 0.489394i | ||||
\(364\) | −6.21640 | + | 10.7671i | −0.325828 | + | 0.564350i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 16.1473 | − | 27.9680i | 0.844033 | − | 1.46191i | ||||
\(367\) | 4.02245 | + | 6.96709i | 0.209970 | + | 0.363679i | 0.951705 | − | 0.307014i | \(-0.0993299\pi\) |
−0.741735 | + | 0.670694i | \(0.765997\pi\) | |||||||
\(368\) | 4.58384 | 0.238949 | ||||||||
\(369\) | −8.27513 | −0.430786 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 9.35501 | + | 16.2034i | 0.485688 | + | 0.841236i | ||||
\(372\) | −1.16333 | −0.0603160 | ||||||||
\(373\) | −12.4203 | −0.643099 | −0.321549 | − | 0.946893i | \(-0.604204\pi\) | ||||
−0.321549 | + | 0.946893i | \(0.604204\pi\) | |||||||
\(374\) | −8.44784 | − | 14.6321i | −0.436827 | − | 0.756607i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.58322 | + | 9.67042i | 0.287933 | + | 0.498714i | ||||
\(377\) | −9.28401 | + | 16.0804i | −0.478151 | + | 0.828182i | ||||
\(378\) | 10.8132 | − | 18.7290i | 0.556172 | − | 0.963318i | ||||
\(379\) | 21.2202 | 1.09001 | 0.545005 | − | 0.838433i | \(-0.316528\pi\) | ||||
0.545005 | + | 0.838433i | \(0.316528\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 21.4872 | 1.10082 | ||||||||
\(382\) | 14.9481 | − | 25.8909i | 0.764812 | − | 1.32469i | ||||
\(383\) | 15.5779 | − | 26.9817i | 0.795993 | − | 1.37870i | −0.126213 | − | 0.992003i | \(-0.540282\pi\) |
0.922206 | − | 0.386698i | \(-0.126384\pi\) | |||||||
\(384\) | −8.15064 | − | 14.1173i | −0.415936 | − | 0.720422i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 9.21287 | + | 15.9572i | 0.468923 | + | 0.812198i | ||||
\(387\) | −2.35914 | −0.119922 | ||||||||
\(388\) | 21.0210 | 1.06718 | ||||||||
\(389\) | 10.8314 | + | 18.7606i | 0.549176 | + | 0.951201i | 0.998331 | + | 0.0577469i | \(0.0183916\pi\) |
−0.449155 | + | 0.893454i | \(0.648275\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −9.34189 | −0.472439 | ||||||||
\(392\) | −5.99728 | −0.302908 | ||||||||
\(393\) | −4.98402 | − | 8.63258i | −0.251411 | − | 0.435456i | ||||
\(394\) | −3.11528 | + | 5.39582i | −0.156946 | + | 0.271838i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 2.50069 | − | 4.33132i | 0.125664 | − | 0.217657i | ||||
\(397\) | 1.31690 | − | 2.28093i | 0.0660932 | − | 0.114477i | −0.831085 | − | 0.556145i | \(-0.812280\pi\) |
0.897178 | + | 0.441668i | \(0.145613\pi\) | |||||||
\(398\) | 49.5845 | 2.48545 | ||||||||
\(399\) | −8.63682 | + | 6.56417i | −0.432382 | + | 0.328619i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 12.4825 | − | 21.6203i | 0.623347 | − | 1.07967i | −0.365511 | − | 0.930807i | \(-0.619106\pi\) |
0.988858 | − | 0.148862i | \(-0.0475609\pi\) | |||||||
\(402\) | 19.9752 | − | 34.5980i | 0.996272 | − | 1.72559i | ||||
\(403\) | 0.395874 | + | 0.685673i | 0.0197199 | + | 0.0341558i | ||||
\(404\) | −3.88805 | + | 6.73431i | −0.193438 | + | 0.335044i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 27.2517 | 1.35248 | ||||||||
\(407\) | 7.17549 | 0.355676 | ||||||||
\(408\) | 4.60509 | + | 7.97625i | 0.227986 | + | 0.394883i | ||||
\(409\) | 10.7964 | + | 18.6999i | 0.533848 | + | 0.924652i | 0.999218 | + | 0.0395357i | \(0.0125879\pi\) |
−0.465370 | + | 0.885116i | \(0.654079\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −31.6261 | −1.56000 | ||||||||
\(412\) | −10.3319 | − | 17.8953i | −0.509014 | − | 0.881638i | ||||
\(413\) | −10.6177 | + | 18.3903i | −0.522461 | + | 0.904928i | ||||
\(414\) | −2.40336 | − | 4.16275i | −0.118119 | − | 0.204588i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −9.88362 | + | 17.1189i | −0.484584 | + | 0.839325i | ||||
\(417\) | −26.5049 | −1.29795 | ||||||||
\(418\) | −13.8427 | + | 10.5207i | −0.677067 | + | 0.514585i | ||||
\(419\) | −11.6894 | −0.571067 | −0.285533 | − | 0.958369i | \(-0.592171\pi\) | ||||
−0.285533 | + | 0.958369i | \(0.592171\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 15.8270 | − | 27.4132i | 0.771362 | − | 1.33604i | −0.165454 | − | 0.986218i | \(-0.552909\pi\) |
0.936816 | − | 0.349821i | \(-0.113758\pi\) | |||||||
\(422\) | 15.2882 | + | 26.4799i | 0.744217 | + | 1.28902i | ||||
\(423\) | −3.64301 | + | 6.30988i | −0.177129 | + | 0.306797i | ||||
\(424\) | −8.17340 | − | 14.1567i | −0.396935 | − | 0.687512i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −36.2541 | −1.75652 | ||||||||
\(427\) | 9.27919 | + | 16.0720i | 0.449051 | + | 0.777780i | ||||
\(428\) | −8.72239 | − | 15.1076i | −0.421613 | − | 0.730254i | ||||
\(429\) | 6.76391 | 0.326564 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −3.01371 | − | 5.21990i | −0.145165 | − | 0.251434i | 0.784269 | − | 0.620421i | \(-0.213038\pi\) |
−0.929435 | + | 0.368987i | \(0.879705\pi\) | |||||||
\(432\) | 5.87853 | − | 10.1819i | 0.282831 | − | 0.489877i | ||||
\(433\) | −7.88878 | − | 13.6638i | −0.379111 | − | 0.656639i | 0.611822 | − | 0.790995i | \(-0.290437\pi\) |
−0.990933 | + | 0.134356i | \(0.957103\pi\) | |||||||
\(434\) | 0.581012 | − | 1.00634i | 0.0278895 | − | 0.0483060i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −29.0144 | −1.38954 | ||||||||
\(437\) | 1.21082 | + | 9.53695i | 0.0579212 | + | 0.456214i | ||||
\(438\) | 28.1093 | 1.34311 | ||||||||
\(439\) | −19.6880 | + | 34.1007i | −0.939658 | + | 1.62754i | −0.173549 | + | 0.984825i | \(0.555524\pi\) |
−0.766109 | + | 0.642711i | \(0.777810\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −1.95659 | − | 3.38891i | −0.0931710 | − | 0.161377i | ||||
\(442\) | 11.9718 | − | 20.7357i | 0.569440 | − | 0.986299i | ||||
\(443\) | 6.58164 | + | 11.3997i | 0.312703 | + | 0.541618i | 0.978947 | − | 0.204116i | \(-0.0654321\pi\) |
−0.666243 | + | 0.745734i | \(0.732099\pi\) | |||||||
\(444\) | −14.9411 | −0.709073 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −18.5563 | − | 32.1404i | −0.878666 | − | 1.52189i | ||||
\(447\) | 12.8135 | + | 22.1937i | 0.606058 | + | 1.04972i | ||||
\(448\) | 21.6888 | 1.02470 | ||||||||
\(449\) | 3.54345 | 0.167226 | 0.0836129 | − | 0.996498i | \(-0.473354\pi\) | ||||
0.0836129 | + | 0.996498i | \(0.473354\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −7.57262 | + | 13.1162i | −0.356581 | + | 0.617616i | ||||
\(452\) | −17.1768 | − | 29.7511i | −0.807930 | − | 1.39937i | ||||
\(453\) | 1.91665 | − | 3.31974i | 0.0900522 | − | 0.155975i | ||||
\(454\) | −11.1550 | + | 19.3211i | −0.523532 | + | 0.906784i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 7.54593 | − | 5.73506i | 0.353370 | − | 0.268569i | ||||
\(457\) | 14.7013 | 0.687697 | 0.343848 | − | 0.939025i | \(-0.388269\pi\) | ||||
0.343848 | + | 0.939025i | \(0.388269\pi\) | |||||||
\(458\) | −13.9822 | + | 24.2179i | −0.653347 | + | 1.13163i | ||||
\(459\) | −11.9805 | + | 20.7508i | −0.559201 | + | 0.968564i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −3.32663 | + | 5.76190i | −0.154937 | + | 0.268358i | −0.933036 | − | 0.359783i | \(-0.882851\pi\) |
0.778099 | + | 0.628141i | \(0.216184\pi\) | |||||||
\(462\) | −4.96359 | − | 8.59719i | −0.230927 | − | 0.399978i | ||||
\(463\) | −25.0561 | −1.16445 | −0.582227 | − | 0.813026i | \(-0.697819\pi\) | ||||
−0.582227 | + | 0.813026i | \(0.697819\pi\) | |||||||
\(464\) | 14.8152 | 0.687779 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −1.07948 | − | 1.86971i | −0.0500059 | − | 0.0866127i | ||||
\(467\) | −30.1338 | −1.39442 | −0.697212 | − | 0.716865i | \(-0.745576\pi\) | ||||
−0.697212 | + | 0.716865i | \(0.745576\pi\) | |||||||
\(468\) | 7.08766 | 0.327627 | ||||||||
\(469\) | 11.4789 | + | 19.8821i | 0.530047 | + | 0.918068i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0.902565 | + | 1.56329i | 0.0415880 | + | 0.0720326i | ||||
\(472\) | 9.27656 | − | 16.0675i | 0.426988 | − | 0.739566i | ||||
\(473\) | −2.15886 | + | 3.73926i | −0.0992646 | + | 0.171931i | ||||
\(474\) | −24.1692 | −1.11013 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −20.2170 | −0.926644 | ||||||||
\(477\) | 5.33308 | − | 9.23717i | 0.244185 | − | 0.422941i | ||||
\(478\) | 0.829330 | − | 1.43644i | 0.0379327 | − | 0.0657013i | ||||
\(479\) | −2.50428 | − | 4.33754i | −0.114424 | − | 0.198187i | 0.803126 | − | 0.595810i | \(-0.203169\pi\) |
−0.917549 | + | 0.397622i | \(0.869835\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 5.08434 | + | 8.80634i | 0.231826 | + | 0.401535i | ||||
\(482\) | −27.2516 | −1.24128 | ||||||||
\(483\) | −5.48890 | −0.249753 | ||||||||
\(484\) | 10.3242 | + | 17.8821i | 0.469283 | + | 0.812822i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −21.5653 | −0.978224 | ||||||||
\(487\) | 40.8880 | 1.85281 | 0.926406 | − | 0.376527i | \(-0.122882\pi\) | ||||
0.926406 | + | 0.376527i | \(0.122882\pi\) | |||||||
\(488\) | −8.10715 | − | 14.0420i | −0.366993 | − | 0.635651i | ||||
\(489\) | 5.46975 | − | 9.47389i | 0.247351 | − | 0.428424i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 17.1773 | − | 29.7519i | 0.775200 | − | 1.34269i | −0.159482 | − | 0.987201i | \(-0.550982\pi\) |
0.934682 | − | 0.355485i | \(-0.115684\pi\) | |||||||
\(492\) | 15.7680 | − | 27.3110i | 0.710877 | − | 1.23127i | ||||
\(493\) | −30.1935 | −1.35985 | ||||||||
\(494\) | −22.7204 | − | 9.53417i | −1.02224 | − | 0.428962i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.315863 | − | 0.547091i | 0.0141827 | − | 0.0245651i | ||||
\(497\) | 10.4169 | − | 18.0425i | 0.467260 | − | 0.809319i | ||||
\(498\) | 10.6315 | + | 18.4142i | 0.476407 | + | 0.825161i | ||||
\(499\) | −6.63881 | + | 11.4988i | −0.297194 | + | 0.514755i | −0.975493 | − | 0.220031i | \(-0.929384\pi\) |
0.678299 | + | 0.734786i | \(0.262718\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −9.67541 | −0.432265 | ||||||||
\(502\) | −21.5274 | −0.960817 | ||||||||
\(503\) | −4.03885 | − | 6.99549i | −0.180083 | − | 0.311913i | 0.761825 | − | 0.647782i | \(-0.224303\pi\) |
−0.941909 | + | 0.335869i | \(0.890970\pi\) | |||||||
\(504\) | −1.36164 | − | 2.35843i | −0.0606523 | − | 0.105053i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −8.79732 | −0.391089 | ||||||||
\(507\) | −4.38977 | − | 7.60331i | −0.194957 | − | 0.337675i | ||||
\(508\) | 20.6042 | − | 35.6875i | 0.914164 | − | 1.58338i | ||||
\(509\) | −2.82539 | − | 4.89373i | −0.125233 | − | 0.216911i | 0.796591 | − | 0.604519i | \(-0.206635\pi\) |
−0.921824 | + | 0.387608i | \(0.873301\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −8.07662 | + | 13.9891i | −0.357289 | + | 0.618842i | ||||
\(512\) | 22.1701 | 0.979789 | ||||||||
\(513\) | 22.7369 | + | 9.54108i | 1.00386 | + | 0.421249i | ||||
\(514\) | 33.0906 | 1.45956 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 4.49527 | − | 7.78604i | 0.197893 | − | 0.342761i | ||||
\(517\) | 6.66748 | + | 11.5484i | 0.293235 | + | 0.507899i | ||||
\(518\) | 7.46214 | − | 12.9248i | 0.327868 | − | 0.567883i | ||||
\(519\) | 5.80163 | + | 10.0487i | 0.254663 | + | 0.441090i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −33.8049 | −1.48102 | −0.740510 | − | 0.672045i | \(-0.765416\pi\) | ||||
−0.740510 | + | 0.672045i | \(0.765416\pi\) | |||||||
\(522\) | −7.76780 | − | 13.4542i | −0.339987 | − | 0.588875i | ||||
\(523\) | 6.31778 | + | 10.9427i | 0.276257 | + | 0.478491i | 0.970452 | − | 0.241296i | \(-0.0775725\pi\) |
−0.694194 | + | 0.719788i | \(0.744239\pi\) | |||||||
\(524\) | −19.1169 | −0.835124 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −8.62841 | − | 14.9448i | −0.376217 | − | 0.651626i | ||||
\(527\) | −0.643730 | + | 1.11497i | −0.0280413 | + | 0.0485690i | ||||
\(528\) | −2.69842 | − | 4.67380i | −0.117434 | − | 0.203401i | ||||
\(529\) | 9.06791 | − | 15.7061i | 0.394257 | − | 0.682873i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 12.1058 | 0.525346 | ||||||||
\(532\) | 2.62036 | + | 20.6391i | 0.113607 | + | 0.894819i | ||||
\(533\) | −21.4629 | −0.929663 | ||||||||
\(534\) | −19.1189 | + | 33.1148i | −0.827354 | + | 1.43302i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −10.0290 | − | 17.3708i | −0.433188 | − | 0.750304i | ||||
\(537\) | 3.15180 | − | 5.45908i | 0.136010 | − | 0.235577i | ||||
\(538\) | −21.9649 | − | 38.0443i | −0.946973 | − | 1.64021i | ||||
\(539\) | −7.16195 | −0.308487 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −23.0175 | − | 39.8675i | −0.989599 | − | 1.71404i | −0.619378 | − | 0.785093i | \(-0.712615\pi\) |
−0.370222 | − | 0.928943i | \(-0.620718\pi\) | |||||||
\(542\) | 5.24045 | + | 9.07672i | 0.225097 | + | 0.389879i | ||||
\(543\) | −10.6537 | −0.457193 | ||||||||
\(544\) | −32.1435 | −1.37814 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 7.03411 | − | 12.1834i | 0.301032 | − | 0.521403i | ||||
\(547\) | 11.4775 | + | 19.8796i | 0.490741 | + | 0.849989i | 0.999943 | − | 0.0106584i | \(-0.00339274\pi\) |
−0.509202 | + | 0.860647i | \(0.670059\pi\) | |||||||
\(548\) | −30.3265 | + | 52.5270i | −1.29548 | + | 2.24384i | ||||
\(549\) | 5.28985 | − | 9.16230i | 0.225765 | − | 0.391037i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.91343 | + | 30.8239i | 0.166718 | + | 1.31314i | ||||
\(552\) | 4.79560 | 0.204114 | ||||||||
\(553\) | 6.94451 | − | 12.0282i | 0.295311 | − | 0.511493i | ||||
\(554\) | 28.6842 | − | 49.6826i | 1.21868 | − | 2.11081i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −25.4157 | + | 44.0213i | −1.07787 | + | 1.86692i | ||||
\(557\) | 0.961865 | + | 1.66600i | 0.0407555 | + | 0.0705906i | 0.885684 | − | 0.464289i | \(-0.153690\pi\) |
−0.844928 | + | 0.534880i | \(0.820357\pi\) | |||||||
\(558\) | −0.662443 | −0.0280435 | ||||||||
\(559\) | −6.11883 | −0.258799 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 5.49940 | + | 9.52524i | 0.232185 | + | 0.402156i | ||||
\(562\) | 11.4835 | 0.484403 | ||||||||
\(563\) | −0.929173 | −0.0391600 | −0.0195800 | − | 0.999808i | \(-0.506233\pi\) | ||||
−0.0195800 | + | 0.999808i | \(0.506233\pi\) | |||||||
\(564\) | −13.8833 | − | 24.0466i | −0.584592 | − | 1.01254i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 21.4943 | + | 37.2292i | 0.903471 | + | 1.56486i | ||||
\(567\) | −4.38527 | + | 7.59551i | −0.184164 | + | 0.318982i | ||||
\(568\) | −9.10114 | + | 15.7636i | −0.381875 | + | 0.661427i | ||||
\(569\) | 17.5587 | 0.736098 | 0.368049 | − | 0.929806i | \(-0.380026\pi\) | ||||
0.368049 | + | 0.929806i | \(0.380026\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 40.0798 | 1.67729 | 0.838644 | − | 0.544680i | \(-0.183349\pi\) | ||||
0.838644 | + | 0.544680i | \(0.183349\pi\) | |||||||
\(572\) | 6.48596 | − | 11.2340i | 0.271191 | − | 0.469717i | ||||
\(573\) | −9.73097 | + | 16.8545i | −0.406517 | + | 0.704108i | ||||
\(574\) | 15.7503 | + | 27.2803i | 0.657403 | + | 1.13866i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −6.18215 | − | 10.7078i | −0.257589 | − | 0.446158i | ||||
\(577\) | 31.6555 | 1.31784 | 0.658919 | − | 0.752214i | \(-0.271014\pi\) | ||||
0.658919 | + | 0.752214i | \(0.271014\pi\) | |||||||
\(578\) | 2.04320 | 0.0849860 | ||||||||
\(579\) | −5.99742 | − | 10.3878i | −0.249244 | − | 0.431704i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −12.2189 | −0.506926 | ||||||||
\(582\) | −23.7861 | −0.985965 | ||||||||
\(583\) | −9.76067 | − | 16.9060i | −0.404246 | − | 0.700174i | ||||
\(584\) | 7.05648 | − | 12.2222i | 0.291999 | − | 0.505758i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −20.9931 | + | 36.3611i | −0.867217 | + | 1.50206i | ||||
\(587\) | 2.62029 | − | 4.53848i | 0.108151 | − | 0.187323i | −0.806870 | − | 0.590729i | \(-0.798840\pi\) |
0.915021 | + | 0.403406i | \(0.132174\pi\) | |||||||
\(588\) | 14.9129 | 0.614998 | ||||||||
\(589\) | 1.22169 | + | 0.512658i | 0.0503388 | + | 0.0211237i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 2.02799 | − | 3.51259i | 0.0834205 | − | 0.144489i | ||||
\(592\) | 4.05674 | − | 7.02648i | 0.166731 | − | 0.288787i | ||||
\(593\) | −12.3988 | − | 21.4753i | −0.509157 | − | 0.881886i | −0.999944 | − | 0.0106059i | \(-0.996624\pi\) |
0.490787 | − | 0.871280i | \(-0.336709\pi\) | |||||||
\(594\) | −11.2821 | + | 19.5412i | −0.462910 | + | 0.801784i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 49.1479 | 2.01317 | ||||||||
\(597\) | −32.2787 | −1.32108 | ||||||||
\(598\) | −6.23353 | − | 10.7968i | −0.254908 | − | 0.441514i | ||||
\(599\) | −8.60774 | − | 14.9091i | −0.351703 | − | 0.609167i | 0.634845 | − | 0.772639i | \(-0.281064\pi\) |
−0.986548 | + | 0.163472i | \(0.947731\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1.76204 | −0.0718750 | −0.0359375 | − | 0.999354i | \(-0.511442\pi\) | ||||
−0.0359375 | + | 0.999354i | \(0.511442\pi\) | |||||||
\(602\) | 4.49021 | + | 7.77727i | 0.183007 | + | 0.316978i | ||||
\(603\) | 6.54387 | − | 11.3343i | 0.266487 | − | 0.461569i | ||||
\(604\) | −3.67578 | − | 6.36664i | −0.149565 | − | 0.259055i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 4.39949 | − | 7.62015i | 0.178717 | − | 0.309547i | ||||
\(607\) | −9.48260 | −0.384887 | −0.192443 | − | 0.981308i | \(-0.561641\pi\) | ||||
−0.192443 | + | 0.981308i | \(0.561641\pi\) | |||||||
\(608\) | 4.16618 | + | 32.8147i | 0.168961 | + | 1.33081i | ||||
\(609\) | −17.7404 | −0.718878 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −9.44877 | + | 16.3657i | −0.382256 | + | 0.662087i | ||||
\(612\) | 5.76262 | + | 9.98116i | 0.232940 | + | 0.403464i | ||||
\(613\) | −7.93785 | + | 13.7488i | −0.320607 | + | 0.555307i | −0.980613 | − | 0.195953i | \(-0.937220\pi\) |
0.660007 | + | 0.751260i | \(0.270553\pi\) | |||||||
\(614\) | −30.5123 | − | 52.8488i | −1.23138 | − | 2.13280i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −4.98419 | −0.200819 | ||||||||
\(617\) | 14.8994 | + | 25.8066i | 0.599828 | + | 1.03893i | 0.992846 | + | 0.119402i | \(0.0380978\pi\) |
−0.393018 | + | 0.919531i | \(0.628569\pi\) | |||||||
\(618\) | 11.6909 | + | 20.2493i | 0.470278 | + | 0.814545i | ||||
\(619\) | 12.8374 | 0.515980 | 0.257990 | − | 0.966148i | \(-0.416940\pi\) | ||||
0.257990 | + | 0.966148i | \(0.416940\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 6.23805 | + | 10.8046i | 0.250324 | + | 0.433575i | ||||
\(622\) | −2.98734 | + | 5.17423i | −0.119781 | + | 0.207468i | ||||
\(623\) | −10.9868 | − | 19.0297i | −0.440177 | − | 0.762409i | ||||
\(624\) | 3.82405 | − | 6.62344i | 0.153084 | − | 0.265150i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 45.9119 | 1.83501 | ||||||||
\(627\) | 9.01134 | − | 6.84881i | 0.359878 | − | 0.273515i | ||||
\(628\) | 3.46190 | 0.138145 | ||||||||
\(629\) | −8.26766 | + | 14.3200i | −0.329653 | + | 0.570976i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 9.70768 | + | 16.8142i | 0.386456 | + | 0.669362i | 0.991970 | − | 0.126473i | \(-0.0403656\pi\) |
−0.605514 | + | 0.795835i | \(0.707032\pi\) | |||||||
\(632\) | −6.06737 | + | 10.5090i | −0.241347 | + | 0.418025i | ||||
\(633\) | −9.95235 | − | 17.2380i | −0.395570 | − | 0.685148i | ||||
\(634\) | 69.2973 | 2.75215 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 20.3241 | + | 35.2023i | 0.805902 | + | 1.39586i | ||||
\(637\) | −5.07475 | − | 8.78973i | −0.201069 | − | 0.348262i | ||||
\(638\) | −28.4334 | −1.12569 | ||||||||
\(639\) | −11.8768 | −0.469841 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −10.1981 | + | 17.6637i | −0.402802 | + | 0.697673i | −0.994063 | − | 0.108807i | \(-0.965297\pi\) |
0.591261 | + | 0.806480i | \(0.298630\pi\) | |||||||
\(642\) | 9.86975 | + | 17.0949i | 0.389528 | + | 0.674682i | ||||
\(643\) | 10.0616 | − | 17.4272i | 0.396791 | − | 0.687263i | −0.596537 | − | 0.802586i | \(-0.703457\pi\) |
0.993328 | + | 0.115323i | \(0.0367903\pi\) | |||||||
\(644\) | −5.26334 | + | 9.11637i | −0.207405 | + | 0.359235i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −5.04639 | − | 39.7476i | −0.198547 | − | 1.56385i | ||||
\(647\) | −29.3758 | −1.15488 | −0.577441 | − | 0.816432i | \(-0.695949\pi\) | ||||
−0.577441 | + | 0.816432i | \(0.695949\pi\) | |||||||
\(648\) | 3.83138 | − | 6.63614i | 0.150511 | − | 0.260692i | ||||
\(649\) | 11.0781 | − | 19.1878i | 0.434852 | − | 0.753186i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.378229 | + | 0.655111i | −0.0148240 | + | 0.0256758i | ||||
\(652\) | −10.4900 | − | 18.1692i | −0.410819 | − | 0.711559i | ||||
\(653\) | −21.6479 | −0.847149 | −0.423575 | − | 0.905861i | \(-0.639225\pi\) | ||||
−0.423575 | + | 0.905861i | \(0.639225\pi\) | |||||||
\(654\) | 32.8310 | 1.28379 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 8.56252 | + | 14.8307i | 0.334310 | + | 0.579042i | ||||
\(657\) | 9.20860 | 0.359262 | ||||||||
\(658\) | 27.7353 | 1.08124 | ||||||||
\(659\) | 15.3377 | + | 26.5658i | 0.597474 | + | 1.03485i | 0.993193 | + | 0.116483i | \(0.0371621\pi\) |
−0.395719 | + | 0.918372i | \(0.629505\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −10.5645 | − | 18.2982i | −0.410910 | − | 0.711718i | 0.584079 | − | 0.811697i | \(-0.301456\pi\) |
−0.994990 | + | 0.0999790i | \(0.968122\pi\) | |||||||
\(662\) | −38.9018 | + | 67.3800i | −1.51196 | + | 2.61880i | ||||
\(663\) | −7.79343 | + | 13.4986i | −0.302672 | + | 0.524243i | ||||
\(664\) | 10.6756 | 0.414292 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −8.50799 | −0.329678 | ||||||||
\(667\) | −7.86065 | + | 13.6150i | −0.304365 | + | 0.527176i | ||||
\(668\) | −9.27782 | + | 16.0696i | −0.358969 | + | 0.621753i | ||||
\(669\) | 12.0798 | + | 20.9229i | 0.467033 | + | 0.808925i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −9.68155 | − | 16.7689i | −0.373752 | − | 0.647358i | ||||
\(672\) | −18.8862 | −0.728550 | ||||||||
\(673\) | 40.4354 | 1.55867 | 0.779334 | − | 0.626609i | \(-0.215557\pi\) | ||||
0.779334 | + | 0.626609i | \(0.215557\pi\) | |||||||
\(674\) | 10.2490 | + | 17.7518i | 0.394776 | + | 0.683772i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −16.8375 | −0.647597 | ||||||||
\(677\) | 0.405154 | 0.0155713 | 0.00778566 | − | 0.999970i | \(-0.497522\pi\) | ||||
0.00778566 | + | 0.999970i | \(0.497522\pi\) | |||||||
\(678\) | 19.4363 | + | 33.6646i | 0.746446 | + | 1.29288i | ||||
\(679\) | 6.83444 | − | 11.8376i | 0.262282 | − | 0.454285i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 7.26174 | − | 12.5777i | 0.278270 | − | 0.481979i | ||||
\(682\) | −0.606206 | + | 1.04998i | −0.0232128 | + | 0.0402058i | ||||
\(683\) | 20.9178 | 0.800396 | 0.400198 | − | 0.916429i | \(-0.368941\pi\) | ||||
0.400198 | + | 0.916429i | \(0.368941\pi\) | |||||||
\(684\) | 9.44266 | − | 7.17662i | 0.361049 | − | 0.274405i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −20.8288 | + | 36.0765i | −0.795245 | + | 1.37741i | ||||
\(687\) | 9.10220 | − | 15.7655i | 0.347271 | − | 0.601490i | ||||
\(688\) | 2.44107 | + | 4.22806i | 0.0930650 | + | 0.161193i | ||||
\(689\) | 13.8323 | − | 23.9582i | 0.526967 | − | 0.912733i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 28.8456 | 1.09734 | 0.548669 | − | 0.836040i | \(-0.315135\pi\) | ||||
0.548669 | + | 0.836040i | \(0.315135\pi\) | |||||||
\(692\) | 22.2529 | 0.845928 | ||||||||
\(693\) | −1.62607 | − | 2.81644i | −0.0617694 | − | 0.106988i | ||||
\(694\) | −10.0894 | − | 17.4753i | −0.382988 | − | 0.663355i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 15.4997 | 0.587513 | ||||||||
\(697\) | −17.4505 | − | 30.2251i | −0.660983 | − | 1.14486i | ||||
\(698\) | 24.9138 | − | 43.1520i | 0.943001 | − | 1.63333i | ||||
\(699\) | 0.702722 | + | 1.21715i | 0.0265794 | + | 0.0460369i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 22.6884 | − | 39.2974i | 0.856928 | − | 1.48424i | −0.0179163 | − | 0.999839i | \(-0.505703\pi\) |
0.874845 | − | 0.484404i | \(-0.160963\pi\) | |||||||
\(702\) | −31.9767 | −1.20688 | ||||||||
\(703\) | 15.6906 | + | 6.58425i | 0.591782 | + | 0.248330i | ||||
\(704\) | −22.6293 | −0.852873 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 30.6476 | − | 53.0833i | 1.15344 | − | 1.99781i | ||||
\(707\) | 2.52821 | + | 4.37898i | 0.0950830 | + | 0.164689i | ||||
\(708\) | −23.0672 | + | 39.9536i | −0.866918 | + | 1.50155i | ||||
\(709\) | 0.953671 | + | 1.65181i | 0.0358159 | + | 0.0620349i | 0.883378 | − | 0.468662i | \(-0.155264\pi\) |
−0.847562 | + | 0.530697i | \(0.821930\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −7.91782 | −0.296941 | ||||||||
\(712\) | 9.59909 | + | 16.6261i | 0.359741 | + | 0.623090i | ||||
\(713\) | 0.335181 | + | 0.580550i | 0.0125526 | + | 0.0217418i | ||||
\(714\) | 22.8764 | 0.856126 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −6.04457 | − | 10.4695i | −0.225896 | − | 0.391264i | ||||
\(717\) | −0.539880 | + | 0.935099i | −0.0201622 | + | 0.0349219i | ||||
\(718\) | 4.72550 | + | 8.18481i | 0.176354 | + | 0.305455i | ||||
\(719\) | 9.26475 | − | 16.0470i | 0.345517 | − | 0.598453i | −0.639931 | − | 0.768433i | \(-0.721037\pi\) |
0.985448 | + | 0.169980i | \(0.0543703\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −13.4366 | −0.500404 | ||||||||
\(722\) | −39.9235 | + | 10.3035i | −1.48580 | + | 0.383457i | ||||
\(723\) | 17.7403 | 0.659770 | ||||||||
\(724\) | −10.2159 | + | 17.6944i | −0.379670 | + | 0.657608i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −11.6823 | − | 20.2343i | −0.433571 | − | 0.750966i | ||||
\(727\) | −24.7775 | + | 42.9159i | −0.918948 | + | 1.59166i | −0.117931 | + | 0.993022i | \(0.537626\pi\) |
−0.801017 | + | 0.598642i | \(0.795707\pi\) | |||||||
\(728\) | −3.53165 | − | 6.11700i | −0.130892 | − | 0.226711i | ||||
\(729\) | 28.9740 | 1.07311 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −4.97492 | − | 8.61681i | −0.184004 | − | 0.318704i | ||||
\(732\) | 20.1593 | + | 34.9170i | 0.745110 | + | 1.29057i | ||||
\(733\) | 33.4077 | 1.23394 | 0.616971 | − | 0.786986i | \(-0.288359\pi\) | ||||
0.616971 | + | 0.786986i | \(0.288359\pi\) | |||||||
\(734\) | −17.4581 | −0.644392 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −8.36833 | + | 14.4944i | −0.308461 | + | 0.534269i | ||||
\(737\) | −11.9767 | − | 20.7442i | −0.441166 | − | 0.764122i | ||||
\(738\) | 8.97887 | − | 15.5519i | 0.330517 | − | 0.572472i | ||||
\(739\) | 16.1610 | − | 27.9917i | 0.594493 | − | 1.02969i | −0.399125 | − | 0.916897i | \(-0.630686\pi\) |
0.993618 | − | 0.112796i | \(-0.0359807\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 14.7906 | + | 6.20658i | 0.543346 | + | 0.228004i | ||||
\(742\) | −40.6024 | −1.49056 | ||||||||
\(743\) | 5.18904 | − | 8.98768i | 0.190367 | − | 0.329726i | −0.755005 | − | 0.655719i | \(-0.772365\pi\) |
0.945372 | + | 0.325993i | \(0.105699\pi\) | |||||||
\(744\) | 0.330455 | − | 0.572366i | 0.0121151 | − | 0.0209839i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 13.4766 | − | 23.3421i | 0.493412 | − | 0.854615i | ||||
\(747\) | 3.48286 | + | 6.03249i | 0.127431 | + | 0.220717i | ||||
\(748\) | 21.0936 | 0.771260 | ||||||||
\(749\) | −11.3435 | −0.414481 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −5.54684 | − | 9.60741i | −0.202407 | − | 0.350580i | 0.746896 | − | 0.664940i | \(-0.231543\pi\) |
−0.949304 | + | 0.314361i | \(0.898210\pi\) | |||||||
\(752\) | 15.0781 | 0.549843 | ||||||||
\(753\) | 14.0140 | 0.510699 | ||||||||
\(754\) | −20.1471 | − | 34.8958i | −0.733714 | − | 1.27083i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 13.4999 | + | 23.3825i | 0.490987 | + | 0.850414i | ||||
\(757\) | 12.5754 | − | 21.7812i | 0.457061 | − | 0.791653i | −0.541743 | − | 0.840544i | \(-0.682236\pi\) |
0.998804 | + | 0.0488915i | \(0.0155688\pi\) | |||||||
\(758\) | −23.0249 | + | 39.8803i | −0.836301 | + | 1.44852i | ||||
\(759\) | 5.72691 | 0.207874 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 7.40847 | 0.268557 | 0.134278 | − | 0.990944i | \(-0.457128\pi\) | ||||
0.134278 | + | 0.990944i | \(0.457128\pi\) | |||||||
\(762\) | −23.3145 | + | 40.3819i | −0.844596 | + | 1.46288i | ||||
\(763\) | −9.43330 | + | 16.3390i | −0.341508 | + | 0.591510i | ||||
\(764\) | 18.6622 | + | 32.3239i | 0.675174 | + | 1.16944i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 33.8054 | + | 58.5526i | 1.22144 | + | 2.11559i | ||||
\(767\) | 31.3984 | 1.13373 | ||||||||
\(768\) | 0.591282 | 0.0213361 | ||||||||
\(769\) | −14.3791 | − | 24.9053i | −0.518524 | − | 0.898109i | −0.999768 | − | 0.0215231i | \(-0.993148\pi\) |
0.481245 | − | 0.876586i | \(-0.340185\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −21.5414 | −0.775795 | ||||||||
\(772\) | −23.0039 | −0.827928 | ||||||||
\(773\) | 22.5882 | + | 39.1240i | 0.812442 | + | 1.40719i | 0.911150 | + | 0.412075i | \(0.135196\pi\) |
−0.0987075 | + | 0.995116i | \(0.531471\pi\) | |||||||
\(774\) | 2.55977 | − | 4.43365i | 0.0920090 | − | 0.159364i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −5.97119 | + | 10.3424i | −0.214353 | + | 0.371271i | ||||
\(777\) | −4.85772 | + | 8.41383i | −0.174270 | + | 0.301844i | ||||
\(778\) | −47.0103 | < |