Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [120,2,Mod(59,120)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(120, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("120.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 120 = 2^{3} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 120.m (of order \(2\), degree \(1\), 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: | \(0.958204824255\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 24x^{14} + 192x^{12} + 672x^{10} + 1092x^{8} + 880x^{6} + 352x^{4} + 64x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{13} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 59.6 | ||
Root | \(-2.08509i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 120.59 |
Dual form | 120.2.m.b.59.7 |
$q$-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 \(\left(\mathbb{Z}/120\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(41\) | \(61\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.541196 | − | 1.30656i | −0.382683 | − | 0.923880i | ||||
\(3\) | −1.30656 | + | 1.13705i | −0.754344 | + | 0.656479i | ||||
\(4\) | −1.41421 | + | 1.41421i | −0.707107 | + | 0.707107i | ||||
\(5\) | 2.10100 | + | 0.765367i | 0.939597 | + | 0.342282i | ||||
\(6\) | 2.19274 | + | 1.09174i | 0.895182 | + | 0.445700i | ||||
\(7\) | 2.27411 | 0.859533 | 0.429766 | − | 0.902940i | \(-0.358596\pi\) | ||||
0.429766 | + | 0.902940i | \(0.358596\pi\) | |||||||
\(8\) | 2.61313 | + | 1.08239i | 0.923880 | + | 0.382683i | ||||
\(9\) | 0.414214 | − | 2.97127i | 0.138071 | − | 0.990422i | ||||
\(10\) | −0.137055 | − | 3.15931i | −0.0433405 | − | 0.999060i | ||||
\(11\) | 4.20201i | 1.26695i | 0.773762 | + | 0.633476i | \(0.218373\pi\) | ||||
−0.773762 | + | 0.633476i | \(0.781627\pi\) | |||||||
\(12\) | 0.239721 | − | 3.45580i | 0.0692015 | − | 0.997603i | ||||
\(13\) | 3.21608 | 0.891979 | 0.445990 | − | 0.895038i | \(-0.352852\pi\) | ||||
0.445990 | + | 0.895038i | \(0.352852\pi\) | |||||||
\(14\) | −1.23074 | − | 2.97127i | −0.328929 | − | 0.794104i | ||||
\(15\) | −3.61536 | + | 1.38896i | −0.933481 | + | 0.358627i | ||||
\(16\) | − | 4.00000i | − | 1.00000i | ||||||
\(17\) | −1.53073 | −0.371257 | −0.185629 | − | 0.982620i | \(-0.559432\pi\) | ||||
−0.185629 | + | 0.982620i | \(0.559432\pi\) | |||||||
\(18\) | −4.10632 | + | 1.06684i | −0.967868 | + | 0.251457i | ||||
\(19\) | −4.82843 | −1.10772 | −0.553859 | − | 0.832611i | \(-0.686845\pi\) | ||||
−0.553859 | + | 0.832611i | \(0.686845\pi\) | |||||||
\(20\) | −4.05366 | + | 1.88887i | −0.906426 | + | 0.422365i | ||||
\(21\) | −2.97127 | + | 2.58579i | −0.648384 | + | 0.564265i | ||||
\(22\) | 5.49019 | − | 2.27411i | 1.17051 | − | 0.484842i | ||||
\(23\) | − | 1.08239i | − | 0.225694i | −0.993612 | − | 0.112847i | \(-0.964003\pi\) | ||
0.993612 | − | 0.112847i | \(-0.0359971\pi\) | |||||||
\(24\) | −4.64495 | + | 1.55705i | −0.948147 | + | 0.317832i | ||||
\(25\) | 3.82843 | + | 3.21608i | 0.765685 | + | 0.643215i | ||||
\(26\) | −1.74053 | − | 4.20201i | −0.341346 | − | 0.824081i | ||||
\(27\) | 2.83730 | + | 4.35313i | 0.546038 | + | 0.837760i | ||||
\(28\) | −3.21608 | + | 3.21608i | −0.607781 | + | 0.607781i | ||||
\(29\) | 1.74053 | 0.323208 | 0.161604 | − | 0.986856i | \(-0.448333\pi\) | ||||
0.161604 | + | 0.986856i | \(0.448333\pi\) | |||||||
\(30\) | 3.77137 | + | 3.97199i | 0.688556 | + | 0.725184i | ||||
\(31\) | − | 6.82843i | − | 1.22642i | −0.789919 | − | 0.613211i | \(-0.789878\pi\) | ||
0.789919 | − | 0.613211i | \(-0.210122\pi\) | |||||||
\(32\) | −5.22625 | + | 2.16478i | −0.923880 | + | 0.382683i | ||||
\(33\) | −4.77791 | − | 5.49019i | −0.831727 | − | 0.955719i | ||||
\(34\) | 0.828427 | + | 2.00000i | 0.142074 | + | 0.342997i | ||||
\(35\) | 4.77791 | + | 1.74053i | 0.807614 | + | 0.294203i | ||||
\(36\) | 3.61622 | + | 4.78779i | 0.602703 | + | 0.797965i | ||||
\(37\) | −7.76429 | −1.27644 | −0.638221 | − | 0.769853i | \(-0.720329\pi\) | ||||
−0.638221 | + | 0.769853i | \(0.720329\pi\) | |||||||
\(38\) | 2.61313 | + | 6.30864i | 0.423905 | + | 1.02340i | ||||
\(39\) | −4.20201 | + | 3.65685i | −0.672859 | + | 0.585565i | ||||
\(40\) | 4.66176 | + | 4.27411i | 0.737089 | + | 0.675796i | ||||
\(41\) | − | 2.46148i | − | 0.384418i | −0.981354 | − | 0.192209i | \(-0.938435\pi\) | ||
0.981354 | − | 0.192209i | \(-0.0615652\pi\) | |||||||
\(42\) | 4.98653 | + | 2.48273i | 0.769438 | + | 0.383094i | ||||
\(43\) | − | 8.70626i | − | 1.32769i | −0.747869 | − | 0.663846i | \(-0.768923\pi\) | ||
0.747869 | − | 0.663846i | \(-0.231077\pi\) | |||||||
\(44\) | −5.94253 | − | 5.94253i | −0.895871 | − | 0.895871i | ||||
\(45\) | 3.14437 | − | 5.92562i | 0.468735 | − | 0.883339i | ||||
\(46\) | −1.41421 | + | 0.585786i | −0.208514 | + | 0.0863695i | ||||
\(47\) | 1.08239i | 0.157883i | 0.996879 | + | 0.0789416i | \(0.0251541\pi\) | ||||
−0.996879 | + | 0.0789416i | \(0.974846\pi\) | |||||||
\(48\) | 4.54822 | + | 5.22625i | 0.656479 | + | 0.754344i | ||||
\(49\) | −1.82843 | −0.261204 | ||||||||
\(50\) | 2.13008 | − | 6.74261i | 0.301238 | − | 0.953549i | ||||
\(51\) | 2.00000 | − | 1.74053i | 0.280056 | − | 0.243723i | ||||
\(52\) | −4.54822 | + | 4.54822i | −0.630724 | + | 0.630724i | ||||
\(53\) | − | 11.0866i | − | 1.52286i | −0.648250 | − | 0.761428i | \(-0.724499\pi\) | ||
0.648250 | − | 0.761428i | \(-0.275501\pi\) | |||||||
\(54\) | 4.15211 | − | 6.06300i | 0.565030 | − | 0.825070i | ||||
\(55\) | −3.21608 | + | 8.82843i | −0.433656 | + | 1.19042i | ||||
\(56\) | 5.94253 | + | 2.46148i | 0.794104 | + | 0.328929i | ||||
\(57\) | 6.30864 | − | 5.49019i | 0.835600 | − | 0.727193i | ||||
\(58\) | −0.941967 | − | 2.27411i | −0.123686 | − | 0.298605i | ||||
\(59\) | − | 4.20201i | − | 0.547055i | −0.961864 | − | 0.273527i | \(-0.911810\pi\) | ||
0.961864 | − | 0.273527i | \(-0.0881904\pi\) | |||||||
\(60\) | 3.14861 | − | 7.07717i | 0.406483 | − | 0.913658i | ||||
\(61\) | 8.48528i | 1.08643i | 0.839594 | + | 0.543214i | \(0.182793\pi\) | ||||
−0.839594 | + | 0.543214i | \(0.817207\pi\) | |||||||
\(62\) | −8.92177 | + | 3.69552i | −1.13307 | + | 0.469331i | ||||
\(63\) | 0.941967 | − | 6.75699i | 0.118677 | − | 0.851300i | ||||
\(64\) | 5.65685 | + | 5.65685i | 0.707107 | + | 0.707107i | ||||
\(65\) | 6.75699 | + | 2.46148i | 0.838101 | + | 0.305309i | ||||
\(66\) | −4.58749 | + | 9.21391i | −0.564681 | + | 1.13415i | ||||
\(67\) | − | 2.27411i | − | 0.277827i | −0.990305 | − | 0.138913i | \(-0.955639\pi\) | ||
0.990305 | − | 0.138913i | \(-0.0443609\pi\) | |||||||
\(68\) | 2.16478 | − | 2.16478i | 0.262519 | − | 0.262519i | ||||
\(69\) | 1.23074 | + | 1.41421i | 0.148164 | + | 0.170251i | ||||
\(70\) | −0.311677 | − | 7.18461i | −0.0372525 | − | 0.858725i | ||||
\(71\) | 11.8851 | 1.41050 | 0.705249 | − | 0.708960i | \(-0.250835\pi\) | ||||
0.705249 | + | 0.708960i | \(0.250835\pi\) | |||||||
\(72\) | 4.29847 | − | 7.31595i | 0.506579 | − | 0.862193i | ||||
\(73\) | 4.54822i | 0.532329i | 0.963928 | + | 0.266164i | \(0.0857564\pi\) | ||||
−0.963928 | + | 0.266164i | \(0.914244\pi\) | |||||||
\(74\) | 4.20201 | + | 10.1445i | 0.488473 | + | 1.17928i | ||||
\(75\) | −8.65894 | + | 0.151125i | −0.999848 | + | 0.0174504i | ||||
\(76\) | 6.82843 | − | 6.82843i | 0.783274 | − | 0.783274i | ||||
\(77\) | 9.55582i | 1.08899i | ||||||||
\(78\) | 7.05202 | + | 3.51111i | 0.798484 | + | 0.397555i | ||||
\(79\) | − | 0.485281i | − | 0.0545984i | −0.999627 | − | 0.0272992i | \(-0.991309\pi\) | ||
0.999627 | − | 0.0272992i | \(-0.00869069\pi\) | |||||||
\(80\) | 3.06147 | − | 8.40401i | 0.342282 | − | 0.939597i | ||||
\(81\) | −8.65685 | − | 2.46148i | −0.961873 | − | 0.273498i | ||||
\(82\) | −3.21608 | + | 1.33214i | −0.355156 | + | 0.147111i | ||||
\(83\) | −6.94269 | −0.762060 | −0.381030 | − | 0.924563i | \(-0.624431\pi\) | ||||
−0.381030 | + | 0.924563i | \(0.624431\pi\) | |||||||
\(84\) | 0.545152 | − | 7.85886i | 0.0594809 | − | 0.857472i | ||||
\(85\) | −3.21608 | − | 1.17157i | −0.348832 | − | 0.127075i | ||||
\(86\) | −11.3753 | + | 4.71179i | −1.22663 | + | 0.508086i | ||||
\(87\) | −2.27411 | + | 1.97908i | −0.243810 | + | 0.212179i | ||||
\(88\) | −4.54822 | + | 10.9804i | −0.484842 | + | 1.17051i | ||||
\(89\) | 8.40401i | 0.890823i | 0.895326 | + | 0.445412i | \(0.146943\pi\) | ||||
−0.895326 | + | 0.445412i | \(0.853057\pi\) | |||||||
\(90\) | −9.44391 | − | 0.901402i | −0.995476 | − | 0.0950161i | ||||
\(91\) | 7.31371 | 0.766685 | ||||||||
\(92\) | 1.53073 | + | 1.53073i | 0.159590 | + | 0.159590i | ||||
\(93\) | 7.76429 | + | 8.92177i | 0.805120 | + | 0.925144i | ||||
\(94\) | 1.41421 | − | 0.585786i | 0.145865 | − | 0.0604193i | ||||
\(95\) | −10.1445 | − | 3.69552i | −1.04081 | − | 0.379152i | ||||
\(96\) | 4.36695 | − | 8.77096i | 0.445700 | − | 0.895182i | ||||
\(97\) | 10.9804i | 1.11489i | 0.830215 | + | 0.557444i | \(0.188218\pi\) | ||||
−0.830215 | + | 0.557444i | \(0.811782\pi\) | |||||||
\(98\) | 0.989538 | + | 2.38896i | 0.0999584 | + | 0.241321i | ||||
\(99\) | 12.4853 | + | 1.74053i | 1.25482 | + | 0.174930i | ||||
\(100\) | −9.96243 | + | 0.865995i | −0.996243 | + | 0.0865995i | ||||
\(101\) | −13.6256 | −1.35580 | −0.677899 | − | 0.735155i | \(-0.737109\pi\) | ||||
−0.677899 | + | 0.735155i | \(0.737109\pi\) | |||||||
\(102\) | −3.35650 | − | 1.67116i | −0.332343 | − | 0.165469i | ||||
\(103\) | 8.70626 | 0.857853 | 0.428927 | − | 0.903339i | \(-0.358892\pi\) | ||||
0.428927 | + | 0.903339i | \(0.358892\pi\) | |||||||
\(104\) | 8.40401 | + | 3.48106i | 0.824081 | + | 0.341346i | ||||
\(105\) | −8.22172 | + | 3.15864i | −0.802357 | + | 0.308251i | ||||
\(106\) | −14.4853 | + | 6.00000i | −1.40693 | + | 0.582772i | ||||
\(107\) | −5.67459 | −0.548584 | −0.274292 | − | 0.961647i | \(-0.588443\pi\) | ||||
−0.274292 | + | 0.961647i | \(0.588443\pi\) | |||||||
\(108\) | −10.1688 | − | 2.14371i | −0.978493 | − | 0.206279i | ||||
\(109\) | − | 16.4853i | − | 1.57900i | −0.613748 | − | 0.789502i | \(-0.710339\pi\) | ||
0.613748 | − | 0.789502i | \(-0.289661\pi\) | |||||||
\(110\) | 13.2754 | − | 0.575904i | 1.26576 | − | 0.0549103i | ||||
\(111\) | 10.1445 | − | 8.82843i | 0.962877 | − | 0.837957i | ||||
\(112\) | − | 9.09644i | − | 0.859533i | ||||||
\(113\) | 0.634051 | 0.0596465 | 0.0298232 | − | 0.999555i | \(-0.490506\pi\) | ||||
0.0298232 | + | 0.999555i | \(0.490506\pi\) | |||||||
\(114\) | −10.5875 | − | 5.27137i | −0.991609 | − | 0.493709i | ||||
\(115\) | 0.828427 | − | 2.27411i | 0.0772512 | − | 0.212062i | ||||
\(116\) | −2.46148 | + | 2.46148i | −0.228543 | + | 0.228543i | ||||
\(117\) | 1.33214 | − | 9.55582i | 0.123157 | − | 0.883436i | ||||
\(118\) | −5.49019 | + | 2.27411i | −0.505413 | + | 0.209349i | ||||
\(119\) | −3.48106 | −0.319108 | ||||||||
\(120\) | −10.9508 | − | 0.283719i | −0.999665 | − | 0.0258999i | ||||
\(121\) | −6.65685 | −0.605169 | ||||||||
\(122\) | 11.0866 | − | 4.59220i | 1.00373 | − | 0.415758i | ||||
\(123\) | 2.79884 | + | 3.21608i | 0.252362 | + | 0.289984i | ||||
\(124\) | 9.65685 | + | 9.65685i | 0.867211 | + | 0.867211i | ||||
\(125\) | 5.58206 | + | 9.68714i | 0.499275 | + | 0.866444i | ||||
\(126\) | −9.33822 | + | 2.42612i | −0.831914 | + | 0.216136i | ||||
\(127\) | −2.27411 | −0.201795 | −0.100897 | − | 0.994897i | \(-0.532171\pi\) | ||||
−0.100897 | + | 0.994897i | \(0.532171\pi\) | |||||||
\(128\) | 4.32957 | − | 10.4525i | 0.382683 | − | 0.923880i | ||||
\(129\) | 9.89949 | + | 11.3753i | 0.871602 | + | 1.00154i | ||||
\(130\) | −0.440778 | − | 10.1606i | −0.0386588 | − | 0.891141i | ||||
\(131\) | − | 11.1641i | − | 0.975413i | −0.873008 | − | 0.487707i | \(-0.837834\pi\) | ||
0.873008 | − | 0.487707i | \(-0.162166\pi\) | |||||||
\(132\) | 14.5213 | + | 1.00731i | 1.26392 | + | 0.0876750i | ||||
\(133\) | −10.9804 | −0.952119 | ||||||||
\(134\) | −2.97127 | + | 1.23074i | −0.256678 | + | 0.106320i | ||||
\(135\) | 2.62943 | + | 11.3175i | 0.226305 | + | 0.974056i | ||||
\(136\) | −4.00000 | − | 1.65685i | −0.342997 | − | 0.142074i | ||||
\(137\) | −8.02509 | −0.685629 | −0.342815 | − | 0.939403i | \(-0.611380\pi\) | ||||
−0.342815 | + | 0.939403i | \(0.611380\pi\) | |||||||
\(138\) | 1.18169 | − | 2.37340i | 0.100592 | − | 0.202038i | ||||
\(139\) | −2.48528 | −0.210799 | −0.105399 | − | 0.994430i | \(-0.533612\pi\) | ||||
−0.105399 | + | 0.994430i | \(0.533612\pi\) | |||||||
\(140\) | −9.21846 | + | 4.29551i | −0.779102 | + | 0.363037i | ||||
\(141\) | −1.23074 | − | 1.41421i | −0.103647 | − | 0.119098i | ||||
\(142\) | −6.43215 | − | 15.5286i | −0.539774 | − | 1.30313i | ||||
\(143\) | 13.5140i | 1.13010i | ||||||||
\(144\) | −11.8851 | − | 1.65685i | −0.990422 | − | 0.138071i | ||||
\(145\) | 3.65685 | + | 1.33214i | 0.303685 | + | 0.110628i | ||||
\(146\) | 5.94253 | − | 2.46148i | 0.491808 | − | 0.203713i | ||||
\(147\) | 2.38896 | − | 2.07902i | 0.197038 | − | 0.171475i | ||||
\(148\) | 10.9804 | − | 10.9804i | 0.902581 | − | 0.902581i | ||||
\(149\) | 0.720950 | 0.0590625 | 0.0295313 | − | 0.999564i | \(-0.490599\pi\) | ||||
0.0295313 | + | 0.999564i | \(0.490599\pi\) | |||||||
\(150\) | 4.88364 | + | 11.2317i | 0.398747 | + | 0.917061i | ||||
\(151\) | − | 2.82843i | − | 0.230174i | −0.993355 | − | 0.115087i | \(-0.963285\pi\) | ||
0.993355 | − | 0.115087i | \(-0.0367147\pi\) | |||||||
\(152\) | −12.6173 | − | 5.22625i | −1.02340 | − | 0.423905i | ||||
\(153\) | −0.634051 | + | 4.54822i | −0.0512600 | + | 0.367702i | ||||
\(154\) | 12.4853 | − | 5.17157i | 1.00609 | − | 0.416737i | ||||
\(155\) | 5.22625 | − | 14.3465i | 0.419783 | − | 1.15234i | ||||
\(156\) | 0.770961 | − | 11.1141i | 0.0617263 | − | 0.889841i | ||||
\(157\) | 23.2929 | 1.85897 | 0.929487 | − | 0.368854i | \(-0.120250\pi\) | ||||
0.929487 | + | 0.368854i | \(0.120250\pi\) | |||||||
\(158\) | −0.634051 | + | 0.262632i | −0.0504424 | + | 0.0208939i | ||||
\(159\) | 12.6060 | + | 14.4853i | 0.999722 | + | 1.14876i | ||||
\(160\) | −12.6372 | + | 0.548218i | −0.999060 | + | 0.0433405i | ||||
\(161\) | − | 2.46148i | − | 0.193992i | ||||||
\(162\) | 1.46898 | + | 12.6429i | 0.115414 | + | 0.993317i | ||||
\(163\) | 8.70626i | 0.681927i | 0.940077 | + | 0.340964i | \(0.110753\pi\) | ||||
−0.940077 | + | 0.340964i | \(0.889247\pi\) | |||||||
\(164\) | 3.48106 | + | 3.48106i | 0.271825 | + | 0.271825i | ||||
\(165\) | −5.83640 | − | 15.1918i | −0.454363 | − | 1.18268i | ||||
\(166\) | 3.75736 | + | 9.07107i | 0.291628 | + | 0.704051i | ||||
\(167\) | − | 5.04054i | − | 0.390049i | −0.980798 | − | 0.195024i | \(-0.937521\pi\) | ||
0.980798 | − | 0.195024i | \(-0.0624786\pi\) | |||||||
\(168\) | −10.5631 | + | 3.54091i | −0.814963 | + | 0.273187i | ||||
\(169\) | −2.65685 | −0.204373 | ||||||||
\(170\) | 0.209794 | + | 4.83606i | 0.0160905 | + | 0.370909i | ||||
\(171\) | −2.00000 | + | 14.3465i | −0.152944 | + | 1.09711i | ||||
\(172\) | 12.3125 | + | 12.3125i | 0.938820 | + | 0.938820i | ||||
\(173\) | − | 0.262632i | − | 0.0199676i | −0.999950 | − | 0.00998379i | \(-0.996822\pi\) | ||
0.999950 | − | 0.00998379i | \(-0.00317799\pi\) | |||||||
\(174\) | 3.81653 | + | 1.90020i | 0.289330 | + | 0.144054i | ||||
\(175\) | 8.70626 | + | 7.31371i | 0.658132 | + | 0.552864i | ||||
\(176\) | 16.8080 | 1.26695 | ||||||||
\(177\) | 4.77791 | + | 5.49019i | 0.359130 | + | 0.412668i | ||||
\(178\) | 10.9804 | − | 4.54822i | 0.823014 | − | 0.340903i | ||||
\(179\) | 7.68306i | 0.574259i | 0.957892 | + | 0.287129i | \(0.0927010\pi\) | ||||
−0.957892 | + | 0.287129i | \(0.907299\pi\) | |||||||
\(180\) | 3.93327 | + | 12.8269i | 0.293169 | + | 0.956061i | ||||
\(181\) | 21.6569i | 1.60974i | 0.593450 | + | 0.804871i | \(0.297765\pi\) | ||||
−0.593450 | + | 0.804871i | \(0.702235\pi\) | |||||||
\(182\) | −3.95815 | − | 9.55582i | −0.293398 | − | 0.708325i | ||||
\(183\) | −9.64823 | − | 11.0866i | −0.713218 | − | 0.819542i | ||||
\(184\) | 1.17157 | − | 2.82843i | 0.0863695 | − | 0.208514i | ||||
\(185\) | −16.3128 | − | 5.94253i | −1.19934 | − | 0.436904i | ||||
\(186\) | 7.45485 | − | 14.9730i | 0.546616 | − | 1.09787i | ||||
\(187\) | − | 6.43215i | − | 0.470366i | ||||||
\(188\) | −1.53073 | − | 1.53073i | −0.111640 | − | 0.111640i | ||||
\(189\) | 6.45232 | + | 9.89949i | 0.469337 | + | 0.720082i | ||||
\(190\) | 0.661758 | + | 15.2545i | 0.0480090 | + | 1.10668i | ||||
\(191\) | −8.40401 | −0.608093 | −0.304046 | − | 0.952657i | \(-0.598338\pi\) | ||||
−0.304046 | + | 0.952657i | \(0.598338\pi\) | |||||||
\(192\) | −13.8232 | − | 0.958884i | −0.997603 | − | 0.0692015i | ||||
\(193\) | − | 13.6447i | − | 0.982164i | −0.871113 | − | 0.491082i | \(-0.836602\pi\) | ||
0.871113 | − | 0.491082i | \(-0.163398\pi\) | |||||||
\(194\) | 14.3465 | − | 5.94253i | 1.03002 | − | 0.426649i | ||||
\(195\) | −11.6273 | + | 4.46699i | −0.832646 | + | 0.319887i | ||||
\(196\) | 2.58579 | − | 2.58579i | 0.184699 | − | 0.184699i | ||||
\(197\) | − | 8.02509i | − | 0.571764i | −0.958265 | − | 0.285882i | \(-0.907713\pi\) | ||
0.958265 | − | 0.285882i | \(-0.0922865\pi\) | |||||||
\(198\) | −4.48288 | − | 17.2548i | −0.318584 | − | 1.22624i | ||||
\(199\) | − | 14.8284i | − | 1.05116i | −0.850744 | − | 0.525580i | \(-0.823848\pi\) | ||
0.850744 | − | 0.525580i | \(-0.176152\pi\) | |||||||
\(200\) | 6.52311 | + | 12.5479i | 0.461253 | + | 0.887269i | ||||
\(201\) | 2.58579 | + | 2.97127i | 0.182387 | + | 0.209577i | ||||
\(202\) | 7.37412 | + | 17.8027i | 0.518841 | + | 1.25259i | ||||
\(203\) | 3.95815 | 0.277808 | ||||||||
\(204\) | −0.366949 | + | 5.28991i | −0.0256916 | + | 0.370367i | ||||
\(205\) | 1.88393 | − | 5.17157i | 0.131580 | − | 0.361198i | ||||
\(206\) | −4.71179 | − | 11.3753i | −0.328286 | − | 0.792553i | ||||
\(207\) | −3.21608 | − | 0.448342i | −0.223533 | − | 0.0311619i | ||||
\(208\) | − | 12.8643i | − | 0.891979i | ||||||
\(209\) | − | 20.2891i | − | 1.40342i | ||||||
\(210\) | 8.57652 | + | 9.03275i | 0.591836 | + | 0.623319i | ||||
\(211\) | 1.51472 | 0.104278 | 0.0521388 | − | 0.998640i | \(-0.483396\pi\) | ||||
0.0521388 | + | 0.998640i | \(0.483396\pi\) | |||||||
\(212\) | 15.6788 | + | 15.6788i | 1.07682 | + | 1.07682i | ||||
\(213\) | −15.5286 | + | 13.5140i | −1.06400 | + | 0.925962i | ||||
\(214\) | 3.07107 | + | 7.41421i | 0.209934 | + | 0.506825i | ||||
\(215\) | 6.66348 | − | 18.2919i | 0.454446 | − | 1.24750i | ||||
\(216\) | 2.70242 | + | 14.4463i | 0.183876 | + | 0.982949i | ||||
\(217\) | − | 15.5286i | − | 1.05415i | ||||||
\(218\) | −21.5391 | + | 8.92177i | −1.45881 | + | 0.604259i | ||||
\(219\) | −5.17157 | − | 5.94253i | −0.349463 | − | 0.401559i | ||||
\(220\) | −7.93706 | − | 17.0335i | −0.535117 | − | 1.14840i | ||||
\(221\) | −4.92296 | −0.331154 | ||||||||
\(222\) | −17.0251 | − | 8.47657i | −1.14265 | − | 0.568910i | ||||
\(223\) | −10.5902 | −0.709172 | −0.354586 | − | 0.935023i | \(-0.615378\pi\) | ||||
−0.354586 | + | 0.935023i | \(0.615378\pi\) | |||||||
\(224\) | −11.8851 | + | 4.92296i | −0.794104 | + | 0.328929i | ||||
\(225\) | 11.1416 | − | 10.0431i | 0.742774 | − | 0.669542i | ||||
\(226\) | −0.343146 | − | 0.828427i | −0.0228257 | − | 0.0551062i | ||||
\(227\) | 4.77791 | 0.317121 | 0.158561 | − | 0.987349i | \(-0.449315\pi\) | ||||
0.158561 | + | 0.987349i | \(0.449315\pi\) | |||||||
\(228\) | −1.15748 | + | 16.6861i | −0.0766557 | + | 1.10506i | ||||
\(229\) | − | 3.31371i | − | 0.218976i | −0.993988 | − | 0.109488i | \(-0.965079\pi\) | ||
0.993988 | − | 0.109488i | \(-0.0349211\pi\) | |||||||
\(230\) | −3.41961 | + | 0.148347i | −0.225482 | + | 0.00978170i | ||||
\(231\) | −10.8655 | − | 12.4853i | −0.714897 | − | 0.821471i | ||||
\(232\) | 4.54822 | + | 1.88393i | 0.298605 | + | 0.123686i | ||||
\(233\) | 28.0334 | 1.83653 | 0.918265 | − | 0.395967i | \(-0.129590\pi\) | ||||
0.918265 | + | 0.395967i | \(0.129590\pi\) | |||||||
\(234\) | −13.2062 | + | 3.43105i | −0.863318 | + | 0.224294i | ||||
\(235\) | −0.828427 | + | 2.27411i | −0.0540406 | + | 0.148347i | ||||
\(236\) | 5.94253 | + | 5.94253i | 0.386826 | + | 0.386826i | ||||
\(237\) | 0.551791 | + | 0.634051i | 0.0358427 | + | 0.0411860i | ||||
\(238\) | 1.88393 | + | 4.54822i | 0.122117 | + | 0.294817i | ||||
\(239\) | −13.3270 | −0.862050 | −0.431025 | − | 0.902340i | \(-0.641848\pi\) | ||||
−0.431025 | + | 0.902340i | \(0.641848\pi\) | |||||||
\(240\) | 5.55582 | + | 14.4614i | 0.358627 | + | 0.933481i | ||||
\(241\) | 10.4853 | 0.675416 | 0.337708 | − | 0.941251i | \(-0.390348\pi\) | ||||
0.337708 | + | 0.941251i | \(0.390348\pi\) | |||||||
\(242\) | 3.60266 | + | 8.69760i | 0.231588 | + | 0.559103i | ||||
\(243\) | 14.1096 | − | 6.62724i | 0.905129 | − | 0.425138i | ||||
\(244\) | −12.0000 | − | 12.0000i | −0.768221 | − | 0.768221i | ||||
\(245\) | −3.84153 | − | 1.39942i | −0.245426 | − | 0.0894055i | ||||
\(246\) | 2.68729 | − | 5.39738i | 0.171335 | − | 0.344125i | ||||
\(247\) | −15.5286 | −0.988060 | ||||||||
\(248\) | 7.39104 | − | 17.8435i | 0.469331 | − | 1.13307i | ||||
\(249\) | 9.07107 | − | 7.89422i | 0.574856 | − | 0.500276i | ||||
\(250\) | 9.63587 | − | 12.5360i | 0.609426 | − | 0.792843i | ||||
\(251\) | 27.9721i | 1.76559i | 0.469762 | + | 0.882793i | \(0.344340\pi\) | ||||
−0.469762 | + | 0.882793i | \(0.655660\pi\) | |||||||
\(252\) | 8.22368 | + | 10.8880i | 0.518043 | + | 0.685877i | ||||
\(253\) | 4.54822 | 0.285944 | ||||||||
\(254\) | 1.23074 | + | 2.97127i | 0.0772234 | + | 0.186434i | ||||
\(255\) | 5.53415 | − | 2.12612i | 0.346562 | − | 0.133143i | ||||
\(256\) | −16.0000 | −1.00000 | ||||||||
\(257\) | 2.42742 | 0.151418 | 0.0757090 | − | 0.997130i | \(-0.475878\pi\) | ||||
0.0757090 | + | 0.997130i | \(0.475878\pi\) | |||||||
\(258\) | 9.50495 | − | 19.0906i | 0.591752 | − | 1.18853i | ||||
\(259\) | −17.6569 | −1.09714 | ||||||||
\(260\) | −13.0369 | + | 6.07476i | −0.808513 | + | 0.376741i | ||||
\(261\) | 0.720950 | − | 5.17157i | 0.0446257 | − | 0.320112i | ||||
\(262\) | −14.5866 | + | 6.04198i | −0.901165 | + | 0.373275i | ||||
\(263\) | 27.5851i | 1.70097i | 0.526001 | + | 0.850484i | \(0.323691\pi\) | ||||
−0.526001 | + | 0.850484i | \(0.676309\pi\) | |||||||
\(264\) | −6.54275 | − | 19.5181i | −0.402678 | − | 1.20126i | ||||
\(265\) | 8.48528 | − | 23.2929i | 0.521247 | − | 1.43087i | ||||
\(266\) | 5.94253 | + | 14.3465i | 0.364360 | + | 0.879643i | ||||
\(267\) | −9.55582 | − | 10.9804i | −0.584807 | − | 0.671988i | ||||
\(268\) | 3.21608 | + | 3.21608i | 0.196453 | + | 0.196453i | ||||
\(269\) | 7.68306 | 0.468445 | 0.234222 | − | 0.972183i | \(-0.424746\pi\) | ||||
0.234222 | + | 0.972183i | \(0.424746\pi\) | |||||||
\(270\) | 13.3640 | − | 9.56051i | 0.813308 | − | 0.581834i | ||||
\(271\) | 14.1421i | 0.859074i | 0.903049 | + | 0.429537i | \(0.141323\pi\) | ||||
−0.903049 | + | 0.429537i | \(0.858677\pi\) | |||||||
\(272\) | 6.12293i | 0.371257i | ||||||||
\(273\) | −9.55582 | + | 8.31609i | −0.578345 | + | 0.503312i | ||||
\(274\) | 4.34315 | + | 10.4853i | 0.262379 | + | 0.633439i | ||||
\(275\) | −13.5140 | + | 16.0871i | −0.814923 | + | 0.970087i | ||||
\(276\) | −3.74053 | − | 0.259472i | −0.225153 | − | 0.0156184i | ||||
\(277\) | −16.8607 | −1.01306 | −0.506532 | − | 0.862221i | \(-0.669073\pi\) | ||||
−0.506532 | + | 0.862221i | \(0.669073\pi\) | |||||||
\(278\) | 1.34502 | + | 3.24718i | 0.0806692 | + | 0.194753i | ||||
\(279\) | −20.2891 | − | 2.82843i | −1.21468 | − | 0.169334i | ||||
\(280\) | 10.6013 | + | 9.71979i | 0.633552 | + | 0.580869i | ||||
\(281\) | − | 5.94253i | − | 0.354502i | −0.984166 | − | 0.177251i | \(-0.943280\pi\) | ||
0.984166 | − | 0.177251i | \(-0.0567204\pi\) | |||||||
\(282\) | −1.18169 | + | 2.37340i | −0.0703685 | + | 0.141334i | ||||
\(283\) | 26.1188i | 1.55260i | 0.630363 | + | 0.776300i | \(0.282906\pi\) | ||||
−0.630363 | + | 0.776300i | \(0.717094\pi\) | |||||||
\(284\) | −16.8080 | + | 16.8080i | −0.997373 | + | 0.997373i | ||||
\(285\) | 17.4565 | − | 6.70647i | 1.03403 | − | 0.397257i | ||||
\(286\) | 17.6569 | − | 7.31371i | 1.04407 | − | 0.432469i | ||||
\(287\) | − | 5.59767i | − | 0.330420i | ||||||
\(288\) | 4.26737 | + | 16.4253i | 0.251457 | + | 0.967868i | ||||
\(289\) | −14.6569 | −0.862168 | ||||||||
\(290\) | −0.238547 | − | 5.49886i | −0.0140080 | − | 0.322904i | ||||
\(291\) | −12.4853 | − | 14.3465i | −0.731900 | − | 0.841009i | ||||
\(292\) | −6.43215 | − | 6.43215i | −0.376413 | − | 0.376413i | ||||
\(293\) | − | 16.3128i | − | 0.953004i | −0.879173 | − | 0.476502i | \(-0.841904\pi\) | ||
0.879173 | − | 0.476502i | \(-0.158096\pi\) | |||||||
\(294\) | −4.00927 | − | 1.99616i | −0.233825 | − | 0.116419i | ||||
\(295\) | 3.21608 | − | 8.82843i | 0.187247 | − | 0.514011i | ||||
\(296\) | −20.2891 | − | 8.40401i | −1.17928 | − | 0.488473i | ||||
\(297\) | −18.2919 | + | 11.9223i | −1.06140 | + | 0.691804i | ||||
\(298\) | −0.390175 | − | 0.941967i | −0.0226023 | − | 0.0545667i | ||||
\(299\) | − | 3.48106i | − | 0.201315i | ||||||
\(300\) | 12.0319 | − | 12.4593i | 0.694660 | − | 0.719338i | ||||
\(301\) | − | 19.7990i | − | 1.14119i | ||||||
\(302\) | −3.69552 | + | 1.53073i | −0.212653 | + | 0.0880838i | ||||
\(303\) | 17.8027 | − | 15.4930i | 1.02274 | − | 0.890052i | ||||
\(304\) | 19.3137i | 1.10772i | ||||||||
\(305\) | −6.49435 | + | 17.8276i | −0.371866 | + | 1.02081i | ||||
\(306\) | 6.28568 | − | 1.63305i | 0.359328 | − | 0.0933553i | ||||
\(307\) | 17.8027i | 1.01605i | 0.861341 | + | 0.508027i | \(0.169625\pi\) | ||||
−0.861341 | + | 0.508027i | \(0.830375\pi\) | |||||||
\(308\) | −13.5140 | − | 13.5140i | −0.770030 | − | 0.770030i | ||||
\(309\) | −11.3753 | + | 9.89949i | −0.647117 | + | 0.563163i | ||||
\(310\) | −21.5731 | + | 0.935868i | −1.22527 | + | 0.0531537i | ||||
\(311\) | 9.84591 | 0.558310 | 0.279155 | − | 0.960246i | \(-0.409946\pi\) | ||||
0.279155 | + | 0.960246i | \(0.409946\pi\) | |||||||
\(312\) | −14.9385 | + | 5.00760i | −0.845727 | + | 0.283500i | ||||
\(313\) | 24.6250i | 1.39189i | 0.718096 | + | 0.695944i | \(0.245014\pi\) | ||||
−0.718096 | + | 0.695944i | \(0.754986\pi\) | |||||||
\(314\) | −12.6060 | − | 30.4336i | −0.711399 | − | 1.71747i | ||||
\(315\) | 7.15065 | − | 13.4755i | 0.402893 | − | 0.759258i | ||||
\(316\) | 0.686292 | + | 0.686292i | 0.0386069 | + | 0.0386069i | ||||
\(317\) | 9.81845i | 0.551459i | 0.961235 | + | 0.275730i | \(0.0889194\pi\) | ||||
−0.961235 | + | 0.275730i | \(0.911081\pi\) | |||||||
\(318\) | 12.1036 | − | 24.3099i | 0.678736 | − | 1.36323i | ||||
\(319\) | 7.31371i | 0.409489i | ||||||||
\(320\) | 7.55550 | + | 16.2146i | 0.422365 | + | 0.906426i | ||||
\(321\) | 7.41421 | − | 6.45232i | 0.413821 | − | 0.360134i | ||||
\(322\) | −3.21608 | + | 1.33214i | −0.179225 | + | 0.0742374i | ||||
\(323\) | 7.39104 | 0.411248 | ||||||||
\(324\) | 15.7237 | − | 8.76158i | 0.873539 | − | 0.486755i | ||||
\(325\) | 12.3125 | + | 10.3431i | 0.682975 | + | 0.573734i | ||||
\(326\) | 11.3753 | − | 4.71179i | 0.630018 | − | 0.260962i | ||||
\(327\) | 18.7447 | + | 21.5391i | 1.03658 | + | 1.19111i | ||||
\(328\) | 2.66428 | − | 6.43215i | 0.147111 | − | 0.355156i | ||||
\(329\) | 2.46148i | 0.135706i | ||||||||
\(330\) | −16.6903 | + | 15.8473i | −0.918773 | + | 0.872367i | ||||
\(331\) | −1.51472 | −0.0832565 | −0.0416282 | − | 0.999133i | \(-0.513255\pi\) | ||||
−0.0416282 | + | 0.999133i | \(0.513255\pi\) | |||||||
\(332\) | 9.81845 | − | 9.81845i | 0.538858 | − | 0.538858i | ||||
\(333\) | −3.21608 | + | 23.0698i | −0.176240 | + | 1.26422i | ||||
\(334\) | −6.58579 | + | 2.72792i | −0.360358 | + | 0.149265i | ||||
\(335\) | 1.74053 | − | 4.77791i | 0.0950952 | − | 0.261045i | ||||
\(336\) | 10.3431 | + | 11.8851i | 0.564265 | + | 0.648384i | ||||
\(337\) | − | 19.2965i | − | 1.05114i | −0.850749 | − | 0.525572i | \(-0.823851\pi\) | ||
0.850749 | − | 0.525572i | \(-0.176149\pi\) | |||||||
\(338\) | 1.43788 | + | 3.47135i | 0.0782103 | + | 0.188816i | ||||
\(339\) | −0.828427 | + | 0.720950i | −0.0449940 | + | 0.0391566i | ||||
\(340\) | 6.20507 | − | 2.89136i | 0.336517 | − | 0.156806i | ||||
\(341\) | 28.6931 | 1.55382 | ||||||||
\(342\) | 19.8271 | − | 5.15117i | 1.07212 | − | 0.278543i | ||||
\(343\) | −20.0768 | −1.08405 | ||||||||
\(344\) | 9.42359 | − | 22.7506i | 0.508086 | − | 1.22663i | ||||
\(345\) | 1.50339 | + | 3.91323i | 0.0809400 | + | 0.210681i | ||||
\(346\) | −0.343146 | + | 0.142136i | −0.0184476 | + | 0.00764126i | ||||
\(347\) | 15.2304 | 0.817611 | 0.408806 | − | 0.912621i | \(-0.365945\pi\) | ||||
0.408806 | + | 0.912621i | \(0.365945\pi\) | |||||||
\(348\) | 0.417241 | − | 6.01491i | 0.0223665 | − | 0.322433i | ||||
\(349\) | 13.6569i | 0.731035i | 0.930805 | + | 0.365517i | \(0.119108\pi\) | ||||
−0.930805 | + | 0.365517i | \(0.880892\pi\) | |||||||
\(350\) | 4.84403 | − | 15.3334i | 0.258924 | − | 0.819606i | ||||
\(351\) | 9.12496 | + | 14.0000i | 0.487054 | + | 0.747265i | ||||
\(352\) | −9.09644 | − | 21.9607i | −0.484842 | − | 1.17051i | ||||
\(353\) | −26.3939 | −1.40481 | −0.702403 | − | 0.711780i | \(-0.747889\pi\) | ||||
−0.702403 | + | 0.711780i | \(0.747889\pi\) | |||||||
\(354\) | 4.58749 | − | 9.21391i | 0.243822 | − | 0.489714i | ||||
\(355\) | 24.9706 | + | 9.09644i | 1.32530 | + | 0.482789i | ||||
\(356\) | −11.8851 | − | 11.8851i | −0.629907 | − | 0.629907i | ||||
\(357\) | 4.54822 | − | 3.95815i | 0.240717 | − | 0.209488i | ||||
\(358\) | 10.0384 | − | 4.15804i | 0.530546 | − | 0.219759i | ||||
\(359\) | 32.1741 | 1.69809 | 0.849043 | − | 0.528323i | \(-0.177179\pi\) | ||||
0.849043 | + | 0.528323i | \(0.177179\pi\) | |||||||
\(360\) | 14.6305 | − | 12.0809i | 0.771094 | − | 0.636721i | ||||
\(361\) | 4.31371 | 0.227037 | ||||||||
\(362\) | 28.2960 | − | 11.7206i | 1.48721 | − | 0.616021i | ||||
\(363\) | 8.69760 | − | 7.56921i | 0.456506 | − | 0.397280i | ||||
\(364\) | −10.3431 | + | 10.3431i | −0.542128 | + | 0.542128i | ||||
\(365\) | −3.48106 | + | 9.55582i | −0.182207 | + | 0.500175i | ||||
\(366\) | −9.26370 | + | 18.6060i | −0.484221 | + | 0.972552i | ||||
\(367\) | 24.2349 | 1.26505 | 0.632524 | − | 0.774540i | \(-0.282019\pi\) | ||||
0.632524 | + | 0.774540i | \(0.282019\pi\) | |||||||
\(368\) | −4.32957 | −0.225694 | ||||||||
\(369\) | −7.31371 | − | 1.01958i | −0.380736 | − | 0.0530771i | ||||
\(370\) | 1.06413 | + | 24.5298i | 0.0553216 | + | 1.27524i | ||||
\(371\) | − | 25.2120i | − | 1.30894i | ||||||
\(372\) | −23.5977 | − | 1.63692i | −1.22348 | − | 0.0848702i | ||||
\(373\) | 10.4286 | 0.539971 | 0.269986 | − | 0.962864i | \(-0.412981\pi\) | ||||
0.269986 | + | 0.962864i | \(0.412981\pi\) | |||||||
\(374\) | −8.40401 | + | 3.48106i | −0.434561 | + | 0.180001i | ||||
\(375\) | −18.3081 | − | 6.30975i | −0.945427 | − | 0.325834i | ||||
\(376\) | −1.17157 | + | 2.82843i | −0.0604193 | + | 0.145865i | ||||
\(377\) | 5.59767 | 0.288295 | ||||||||
\(378\) | 9.44234 | − | 13.7879i | 0.485662 | − | 0.709175i | ||||
\(379\) | 15.1716 | 0.779311 | 0.389656 | − | 0.920961i | \(-0.372594\pi\) | ||||
0.389656 | + | 0.920961i | \(0.372594\pi\) | |||||||
\(380\) | 19.5728 | − | 9.12029i | 1.00406 | − | 0.467861i | ||||
\(381\) | 2.97127 | − | 2.58579i | 0.152223 | − | 0.132474i | ||||
\(382\) | 4.54822 | + | 10.9804i | 0.232707 | + | 0.561805i | ||||
\(383\) | 18.5545i | 0.948091i | 0.880500 | + | 0.474046i | \(0.157207\pi\) | ||||
−0.880500 | + | 0.474046i | \(0.842793\pi\) | |||||||
\(384\) | 6.22821 | + | 18.5798i | 0.317832 | + | 0.948147i | ||||
\(385\) | −7.31371 | + | 20.0768i | −0.372741 | + | 1.02321i | ||||
\(386\) | −17.8276 | + | 7.38443i | −0.907401 | + | 0.375858i | ||||
\(387\) | −25.8686 | − | 3.60625i | −1.31498 | − | 0.183316i | ||||
\(388\) | −15.5286 | − | 15.5286i | −0.788345 | − | 0.788345i | ||||
\(389\) | −12.6060 | −0.639150 | −0.319575 | − | 0.947561i | \(-0.603540\pi\) | ||||
−0.319575 | + | 0.947561i | \(0.603540\pi\) | |||||||
\(390\) | 12.1290 | + | 12.7742i | 0.614177 | + | 0.646849i | ||||
\(391\) | 1.65685i | 0.0837907i | ||||||||
\(392\) | −4.77791 | − | 1.97908i | −0.241321 | − | 0.0999584i | ||||
\(393\) | 12.6942 | + | 14.5866i | 0.640338 | + | 0.735798i | ||||
\(394\) | −10.4853 | + | 4.34315i | −0.528241 | + | 0.218805i | ||||
\(395\) | 0.371418 | − | 1.01958i | 0.0186881 | − | 0.0513005i | ||||
\(396\) | −20.1183 | + | 15.1954i | −1.01098 | + | 0.763596i | ||||
\(397\) | −0.551791 | −0.0276936 | −0.0138468 | − | 0.999904i | \(-0.504408\pi\) | ||||
−0.0138468 | + | 0.999904i | \(0.504408\pi\) | |||||||
\(398\) | −19.3743 | + | 8.02509i | −0.971145 | + | 0.402261i | ||||
\(399\) | 14.3465 | − | 12.4853i | 0.718226 | − | 0.625046i | ||||
\(400\) | 12.8643 | − | 15.3137i | 0.643215 | − | 0.765685i | ||||
\(401\) | 25.2120i | 1.25903i | 0.776989 | + | 0.629514i | \(0.216746\pi\) | ||||
−0.776989 | + | 0.629514i | \(0.783254\pi\) | |||||||
\(402\) | 2.48273 | − | 4.98653i | 0.123827 | − | 0.248706i | ||||
\(403\) | − | 21.9607i | − | 1.09394i | ||||||
\(404\) | 19.2695 | − | 19.2695i | 0.958694 | − | 0.958694i | ||||
\(405\) | −16.3041 | − | 11.7972i | −0.810159 | − | 0.586210i | ||||
\(406\) | −2.14214 | − | 5.17157i | −0.106312 | − | 0.256661i | ||||
\(407\) | − | 32.6256i | − | 1.61719i | ||||||
\(408\) | 7.11019 | − | 2.38343i | 0.352007 | − | 0.117998i | ||||
\(409\) | −7.17157 | −0.354611 | −0.177306 | − | 0.984156i | \(-0.556738\pi\) | ||||
−0.177306 | + | 0.984156i | \(0.556738\pi\) | |||||||
\(410\) | −7.77656 | + | 0.337357i | −0.384057 | + | 0.0166609i | ||||
\(411\) | 10.4853 | − | 9.12496i | 0.517201 | − | 0.450101i | ||||
\(412\) | −12.3125 | + | 12.3125i | −0.606594 | + | 0.606594i | ||||
\(413\) | − | 9.55582i | − | 0.470211i | ||||||
\(414\) | 1.15474 | + | 4.44465i | 0.0567524 | + | 0.218442i | ||||
\(415\) | −14.5866 | − | 5.31371i | −0.716029 | − | 0.260840i | ||||
\(416\) | −16.8080 | + | 6.96211i | −0.824081 | + | 0.341346i | ||||
\(417\) | 3.24718 | − | 2.82590i | 0.159015 | − | 0.138385i | ||||
\(418\) | −26.5090 | + | 10.9804i | −1.29660 | + | 0.537067i | ||||
\(419\) | 4.20201i | 0.205281i | 0.994718 | + | 0.102641i | \(0.0327292\pi\) | ||||
−0.994718 | + | 0.102641i | \(0.967271\pi\) | |||||||
\(420\) | 7.16028 | − | 16.0942i | 0.349386 | − | 0.785319i | ||||
\(421\) | − | 29.1716i | − | 1.42174i | −0.703326 | − | 0.710868i | \(-0.748302\pi\) | ||
0.703326 | − | 0.710868i | \(-0.251698\pi\) | |||||||
\(422\) | −0.819760 | − | 1.97908i | −0.0399053 | − | 0.0963399i | ||||
\(423\) | 3.21608 | + | 0.448342i | 0.156371 | + | 0.0217991i | ||||
\(424\) | 12.0000 | − | 28.9706i | 0.582772 | − | 1.40693i | ||||
\(425\) | −5.86030 | − | 4.92296i | −0.284266 | − | 0.238798i | ||||
\(426\) | 26.0609 | + | 12.9754i | 1.26265 | + | 0.628659i | ||||
\(427\) | 19.2965i | 0.933821i | ||||||||
\(428\) | 8.02509 | − | 8.02509i | 0.387907 | − | 0.387907i | ||||
\(429\) | −15.3661 | − | 17.6569i | −0.741883 | − | 0.852481i | ||||
\(430\) | −27.5057 | + | 1.19323i | −1.32644 | + | 0.0575428i | ||||
\(431\) | −21.7310 | −1.04674 | −0.523372 | − | 0.852104i | \(-0.675326\pi\) | ||||
−0.523372 | + | 0.852104i | \(0.675326\pi\) | |||||||
\(432\) | 17.4125 | − | 11.3492i | 0.837760 | − | 0.546038i | ||||
\(433\) | − | 29.1732i | − | 1.40198i | −0.713173 | − | 0.700988i | \(-0.752742\pi\) | ||
0.713173 | − | 0.700988i | \(-0.247258\pi\) | |||||||
\(434\) | −20.2891 | + | 8.40401i | −0.973907 | + | 0.403405i | ||||
\(435\) | −6.29263 | + | 2.41752i | −0.301708 | + | 0.115911i | ||||
\(436\) | 23.3137 | + | 23.3137i | 1.11652 | + | 1.11652i | ||||
\(437\) | 5.22625i | 0.250006i | ||||||||
\(438\) | −4.96546 | + | 9.97306i | −0.237259 | + | 0.476531i | ||||
\(439\) | 11.5147i | 0.549568i | 0.961506 | + | 0.274784i | \(0.0886063\pi\) | ||||
−0.961506 | + | 0.274784i | \(0.911394\pi\) | |||||||
\(440\) | −17.9598 | + | 19.5887i | −0.856201 | + | 0.933856i | ||||
\(441\) | −0.757359 | + | 5.43275i | −0.0360647 | + | 0.258702i | ||||
\(442\) | 2.66428 | + | 6.43215i | 0.126727 | + | 0.305946i | ||||
\(443\) | −40.4650 | −1.92255 | −0.961275 | − | 0.275591i | \(-0.911126\pi\) | ||||
−0.961275 | + | 0.275591i | \(0.911126\pi\) | |||||||
\(444\) | −1.86126 | + | 26.8318i | −0.0883317 | + | 1.27338i | ||||
\(445\) | −6.43215 | + | 17.6569i | −0.304913 | + | 0.837015i | ||||
\(446\) | 5.73137 | + | 13.8368i | 0.271388 | + | 0.655189i | ||||
\(447\) | −0.941967 | + | 0.819760i | −0.0445535 | + | 0.0387733i | ||||
\(448\) | 12.8643 | + | 12.8643i | 0.607781 | + | 0.607781i | ||||
\(449\) | 24.7897i | 1.16990i | 0.811070 | + | 0.584949i | \(0.198886\pi\) | ||||
−0.811070 | + | 0.584949i | \(0.801114\pi\) | |||||||
\(450\) | −19.1518 | − | 9.12190i | −0.902824 | − | 0.430011i | ||||
\(451\) | 10.3431 | 0.487040 | ||||||||
\(452\) | −0.896683 | + | 0.896683i | −0.0421764 | + | 0.0421764i | ||||
\(453\) | 3.21608 | + | 3.69552i | 0.151104 | + | 0.173631i | ||||
\(454\) | −2.58579 | − | 6.24264i | −0.121357 | − | 0.292982i | ||||
\(455\) | 15.3661 | + | 5.59767i | 0.720375 | + | 0.262423i | ||||
\(456\) | 22.4278 | − | 7.51812i | 1.05028 | − | 0.352068i | ||||
\(457\) | 12.8643i | 0.601767i | 0.953661 | + | 0.300883i | \(0.0972815\pi\) | ||||
−0.953661 | + | 0.300883i | \(0.902719\pi\) | |||||||
\(458\) | −4.32957 | + | 1.79337i | −0.202307 | + | 0.0837985i | ||||
\(459\) | −4.34315 | − | 6.66348i | −0.202721 | − | 0.311025i | ||||
\(460\) | 2.04450 | + | 4.38765i | 0.0953255 | + | 0.204575i | ||||
\(461\) | 18.5486 | 0.863892 | 0.431946 | − | 0.901899i | \(-0.357827\pi\) | ||||
0.431946 | + | 0.901899i | \(0.357827\pi\) | |||||||
\(462\) | −10.4324 | + | 20.9534i | −0.485361 | + | 0.974842i | ||||
\(463\) | −4.93839 | −0.229507 | −0.114753 | − | 0.993394i | \(-0.536608\pi\) | ||||
−0.114753 | + | 0.993394i | \(0.536608\pi\) | |||||||
\(464\) | − | 6.96211i | − | 0.323208i | ||||||
\(465\) | 9.48438 | + | 24.6872i | 0.439828 | + | 1.14484i | ||||
\(466\) | −15.1716 | − | 36.6274i | −0.702810 | − | 1.69673i | ||||
\(467\) | 8.73606 | 0.404257 | 0.202128 | − | 0.979359i | \(-0.435214\pi\) | ||||
0.202128 | + | 0.979359i | \(0.435214\pi\) | |||||||
\(468\) | 11.6300 | + | 15.3979i | 0.537599 | + | 0.711768i | ||||
\(469\) | − | 5.17157i | − | 0.238801i | ||||||
\(470\) | 3.41961 | − | 0.148347i | 0.157735 | − | 0.00684273i | ||||
\(471\) | −30.4336 | + | 26.4853i | −1.40231 | + | 1.22038i | ||||
\(472\) | 4.54822 | − | 10.9804i | 0.209349 | − | 0.505413i | ||||
\(473\) | 36.5838 | 1.68212 | ||||||||
\(474\) | 0.529800 | − | 1.06410i | 0.0243345 | − | 0.0488755i | ||||
\(475\) | −18.4853 | − | 15.5286i | −0.848163 | − | 0.712501i | ||||
\(476\) | 4.92296 | − | 4.92296i | 0.225643 | − | 0.225643i | ||||
\(477\) | −32.9411 | − | 4.59220i | −1.50827 | − | 0.210262i | ||||
\(478\) | 7.21250 | + | 17.4125i | 0.329892 | + | 0.796430i | ||||
\(479\) | −15.3661 | −0.702096 | −0.351048 | − | 0.936357i | \(-0.614175\pi\) | ||||
−0.351048 | + | 0.936357i | \(0.614175\pi\) | |||||||
\(480\) | 15.8880 | − | 15.0855i | 0.725184 | − | 0.688556i | ||||
\(481\) | −24.9706 | −1.13856 | ||||||||
\(482\) | −5.67459 | − | 13.6997i | −0.258471 | − | 0.624003i | ||||
\(483\) | 2.79884 | + | 3.21608i | 0.127351 | + | 0.146337i | ||||
\(484\) | 9.41421 | − | 9.41421i | 0.427919 | − | 0.427919i | ||||
\(485\) | −8.40401 | + | 23.0698i | −0.381607 | + | 1.04755i | ||||
\(486\) | −16.2949 | − | 14.8484i | −0.739154 | − | 0.673537i | ||||
\(487\) | 19.6866 | 0.892086 | 0.446043 | − | 0.895011i | \(-0.352833\pi\) | ||||
0.446043 | + | 0.895011i | \(0.352833\pi\) | |||||||
\(488\) | −9.18440 | + | 22.1731i | −0.415758 | + | 1.00373i | ||||
\(489\) | −9.89949 | − | 11.3753i | −0.447671 | − | 0.514408i | ||||
\(490\) | 0.250594 | + | 5.77656i | 0.0113207 | + | 0.260958i | ||||
\(491\) | − | 14.0479i | − | 0.633974i | −0.948430 | − | 0.316987i | \(-0.897329\pi\) | ||
0.948430 | − | 0.316987i | \(-0.102671\pi\) | |||||||
\(492\) | −8.50637 | − | 0.590068i | −0.383497 | − | 0.0266023i | ||||
\(493\) | −2.66428 | −0.119993 | ||||||||
\(494\) | 8.40401 | + | 20.2891i | 0.378114 | + | 0.912849i | ||||
\(495\) | 24.8995 | + | 13.2127i | 1.11915 | + | 0.593866i | ||||
\(496\) | −27.3137 | −1.22642 | ||||||||
\(497\) | 27.0279 | 1.21237 | ||||||||
\(498\) | −15.2235 | − | 7.57960i | −0.682183 | − | 0.339650i | ||||
\(499\) | 25.1127 | 1.12420 | 0.562099 | − | 0.827070i | \(-0.309994\pi\) | ||||
0.562099 | + | 0.827070i | \(0.309994\pi\) | |||||||
\(500\) | −21.5939 | − | 5.80546i | −0.965709 | − | 0.259628i | ||||
\(501\) | 5.73137 | + | 6.58579i | 0.256059 | + | 0.294231i | ||||
\(502\) | 36.5474 | − | 15.1384i | 1.63119 | − | 0.675660i | ||||
\(503\) | − | 28.4818i | − | 1.26994i | −0.772537 | − | 0.634969i | \(-0.781013\pi\) | ||
0.772537 | − | 0.634969i | \(-0.218987\pi\) | |||||||
\(504\) | 9.77519 | − | 16.6373i | 0.435421 | − | 0.741083i | ||||
\(505\) | −28.6274 | − | 10.4286i | −1.27390 | − | 0.464066i | ||||
\(506\) | −2.46148 | − | 5.94253i | −0.109426 | − | 0.264178i | ||||
\(507\) | 3.47135 | − | 3.02099i | 0.154168 | − | 0.134167i | ||||
\(508\) | 3.21608 | − | 3.21608i | 0.142690 | − | 0.142690i | ||||
\(509\) | −13.6256 | −0.603944 | −0.301972 | − | 0.953317i | \(-0.597645\pi\) | ||||
−0.301972 | + | 0.953317i | \(0.597645\pi\) | |||||||
\(510\) | −5.77297 | − | 6.08007i | −0.255631 | − | 0.269230i | ||||
\(511\) | 10.3431i | 0.457554i | ||||||||
\(512\) | 8.65914 | + | 20.9050i | 0.382683 | + | 0.923880i | ||||
\(513\) | −13.6997 | − | 21.0188i | −0.604856 | − | 0.928002i | ||||
\(514\) | −1.31371 | − | 3.17157i | −0.0579452 | − | 0.139892i | ||||
\(515\) | 18.2919 | + | 6.66348i | 0.806037 | + | 0.293628i | ||||
\(516\) | −30.0871 | − | 2.08707i | −1.32451 | − | 0.0918783i | ||||
\(517\) | −4.54822 | −0.200030 | ||||||||
\(518\) | 9.55582 | + | 23.0698i | 0.419859 | + | 1.01363i | ||||
\(519\) | 0.298627 | + | 0.343146i | 0.0131083 | + | 0.0150624i | ||||
\(520\) | 14.9926 | + | 13.7459i | 0.657468 | + | 0.602796i | ||||
\(521\) | 9.84591i | 0.431357i | 0.976464 | + | 0.215679i | \(0.0691964\pi\) | ||||
−0.976464 | + | 0.215679i | \(0.930804\pi\) | |||||||
\(522\) | −7.14716 | + | 1.85687i | −0.312823 | + | 0.0812729i | ||||
\(523\) | − | 4.15804i | − | 0.181819i | −0.995859 | − | 0.0909093i | \(-0.971023\pi\) | ||
0.995859 | − | 0.0909093i | \(-0.0289773\pi\) | |||||||
\(524\) | 15.7884 | + | 15.7884i | 0.689721 | + | 0.689721i | ||||
\(525\) | −19.6914 | + | 0.343674i | −0.859402 | + | 0.0149992i | ||||
\(526\) | 36.0416 | − | 14.9289i | 1.57149 | − | 0.650932i | ||||
\(527\) | 10.4525i | 0.455318i | ||||||||
\(528\) | −21.9607 | + | 19.1116i | −0.955719 | + | 0.831727i | ||||
\(529\) | 21.8284 | 0.949062 | ||||||||
\(530\) | −35.0258 | + | 1.51946i | −1.52142 | + | 0.0660013i | ||||
\(531\) | −12.4853 | − | 1.74053i | −0.541815 | − | 0.0755325i | ||||
\(532\) | 15.5286 | − | 15.5286i | 0.673250 | − | 0.673250i | ||||
\(533\) | − | 7.91630i | − | 0.342893i | ||||||
\(534\) | −9.17497 | + | 18.4278i | −0.397040 | + | 0.797450i | ||||
\(535\) | −11.9223 | − | 4.34315i | −0.515448 | − | 0.187771i | ||||
\(536\) | 2.46148 | − | 5.94253i | 0.106320 | − | 0.256678i | ||||
\(537\) | −8.73606 | − | 10.0384i | −0.376989 | − | 0.433189i | ||||
\(538\) | −4.15804 | − | 10.0384i | −0.179266 | − | 0.432786i | ||||
\(539\) | − | 7.68306i | − | 0.330933i | ||||||
\(540\) | −19.7240 | − | 12.2868i | −0.848784 | − | 0.528740i | ||||
\(541\) | − | 16.0000i | − | 0.687894i | −0.938989 | − | 0.343947i | \(-0.888236\pi\) | ||
0.938989 | − | 0.343947i | \(-0.111764\pi\) | |||||||
\(542\) | 18.4776 | − | 7.65367i | 0.793680 | − | 0.328753i | ||||
\(543\) | −24.6250 | − | 28.2960i | −1.05676 | − | 1.21430i | ||||
\(544\) | 8.00000 | − | 3.31371i | 0.342997 | − | 0.142074i | ||||
\(545\) | 12.6173 | − | 34.6356i | 0.540465 | − | 1.48363i | ||||
\(546\) | 16.0371 | + | 7.98465i | 0.686323 | + | 0.341711i | ||||
\(547\) | − | 33.3313i | − | 1.42514i | −0.701600 | − | 0.712571i | \(-0.747530\pi\) | ||
0.701600 | − | 0.712571i | \(-0.252470\pi\) | |||||||
\(548\) | 11.3492 | − | 11.3492i | 0.484813 | − | 0.484813i | ||||
\(549\) | 25.2120 | + | 3.51472i | 1.07602 | + | 0.150005i | ||||
\(550\) | 28.3325 | + | 8.95059i | 1.20810 | + | 0.381655i | ||||
\(551\) | −8.40401 | −0.358023 | ||||||||
\(552\) | 1.68534 | + | 5.02766i | 0.0717329 | + | 0.213991i | ||||
\(553\) | − | 1.10358i | − | 0.0469291i | ||||||
\(554\) | 9.12496 | + | 22.0296i | 0.387682 | + | 0.935948i | ||||
\(555\) | 28.0707 | − | 10.7843i | 1.19153 | − | 0.457766i | ||||
\(556\) | 3.51472 | − | 3.51472i | 0.149057 | − | 0.149057i | ||||
\(557\) | − | 19.3743i | − | 0.820914i | −0.911880 | − | 0.410457i | \(-0.865369\pi\) | ||
0.911880 | − | 0.410457i | \(-0.134631\pi\) | |||||||
\(558\) | 7.28485 | + | 28.0397i | 0.308392 | + | 1.18701i | ||||
\(559\) | − | 28.0000i | − | 1.18427i | ||||||
\(560\) | 6.96211 | − | 19.1116i | 0.294203 | − | 0.807614i | ||||
\(561\) | 7.31371 | + | 8.40401i | 0.308785 | + | 0.354818i | ||||
\(562\) | −7.76429 | + | 3.21608i | −0.327517 | + | 0.135662i | ||||
\(563\) | −6.04601 | −0.254809 | −0.127405 | − | 0.991851i | \(-0.540665\pi\) | ||||
−0.127405 | + | 0.991851i | \(0.540665\pi\) | |||||||
\(564\) | 3.74053 | + | 0.259472i | 0.157505 | + | 0.0109257i | ||||
\(565\) | 1.33214 | + | 0.485281i | 0.0560437 | + | 0.0204159i | ||||
\(566\) | 34.1258 | − | 14.1354i | 1.43442 | − | 0.594155i | ||||
\(567\) | −19.6866 | − | 5.59767i | −0.826761 | − | 0.235080i | ||||
\(568\) | 31.0572 | + | 12.8643i | 1.30313 | + | 0.539774i | ||||
\(569\) | 9.42359i | 0.395057i | 0.980297 | + | 0.197529i | \(0.0632916\pi\) | ||||
−0.980297 | + | 0.197529i | \(0.936708\pi\) | |||||||
\(570\) | −18.2098 | − | 19.1785i | −0.762725 | − | 0.803298i | ||||
\(571\) | −41.1127 | −1.72051 | −0.860256 | − | 0.509862i | \(-0.829697\pi\) | ||||
−0.860256 | + | 0.509862i | \(0.829697\pi\) | |||||||
\(572\) | −19.1116 | − | 19.1116i | −0.799098 | − | 0.799098i | ||||
\(573\) | 10.9804 | − | 9.55582i | 0.458712 | − | 0.399200i | ||||
\(574\) | −7.31371 | + | 3.02944i | −0.305268 | + | 0.126446i | ||||
\(575\) | 3.48106 | − | 4.14386i | 0.145170 | − | 0.172811i | ||||
\(576\) | 19.1512 | − | 14.4649i | 0.797965 | − | 0.602703i | ||||
\(577\) | 15.5286i | 0.646464i | 0.946320 | + | 0.323232i | \(0.104769\pi\) | ||||
−0.946320 | + | 0.323232i | \(0.895231\pi\) | |||||||
\(578\) | 7.93223 | + | 19.1501i | 0.329937 | + | 0.796539i | ||||
\(579\) | 15.5147 | + | 17.8276i | 0.644770 | + | 0.740890i | ||||
\(580\) | −7.05551 | + | 3.28764i | −0.292964 | + | 0.136512i | ||||
\(581\) | −15.7884 | −0.655015 | ||||||||
\(582\) | −11.9877 | + | 24.0771i | −0.496905 | + | 0.998028i | ||||
\(583\) | 46.5858 | 1.92939 | ||||||||
\(584\) | −4.92296 | + | 11.8851i | −0.203713 | + | 0.491808i | ||||
\(585\) | 10.1125 | − | 19.0572i | 0.418102 | − | 0.787919i | ||||
\(586\) | −21.3137 | + | 8.82843i | −0.880461 | + | 0.364699i | ||||
\(587\) | 12.1689 | 0.502266 | 0.251133 | − | 0.967953i | \(-0.419197\pi\) | ||||
0.251133 | + | 0.967953i | \(0.419197\pi\) | |||||||
\(588\) | −0.438312 | + | 6.31867i | −0.0180757 | + | 0.260578i | ||||
\(589\) | 32.9706i | 1.35853i | ||||||||
\(590\) | −13.2754 | + | 0.575904i | −0.546541 | + | 0.0237096i | ||||
\(591\) | 9.12496 | + | 10.4853i | 0.375351 | + | 0.431307i | ||||
\(592\) | 31.0572i | 1.27644i | ||||||||
\(593\) | −39.3826 | −1.61725 | −0.808625 | − | 0.588325i | \(-0.799788\pi\) | ||||
−0.808625 | + | 0.588325i | \(0.799788\pi\) | |||||||
\(594\) | 25.4768 | + | 17.4472i | 1.04532 | + | 0.715866i | ||||
\(595\) | −7.31371 | − | 2.66428i | −0.299833 | − | 0.109225i | ||||
\(596\) | −1.01958 | + | 1.01958i | −0.0417635 | + | 0.0417635i | ||||
\(597\) | 16.8607 | + | 19.3743i | 0.690064 | + | 0.792936i | ||||
\(598\) | −4.54822 | + | 1.88393i | −0.185990 | + | 0.0770398i | ||||
\(599\) | 30.1350 | 1.23128 | 0.615641 | − | 0.788027i | \(-0.288897\pi\) | ||||
0.615641 | + | 0.788027i | \(0.288897\pi\) | |||||||
\(600\) | −22.7905 | − | 8.97746i | −0.930417 | − | 0.366503i | ||||
\(601\) | 30.4853 | 1.24352 | 0.621760 | − | 0.783208i | \(-0.286418\pi\) | ||||
0.621760 | + | 0.783208i | \(0.286418\pi\) | |||||||
\(602\) | −25.8686 | + | 10.7151i | −1.05433 | + | 0.436716i | ||||
\(603\) | −6.75699 | − | 0.941967i | −0.275166 | − | 0.0383599i | ||||
\(604\) | 4.00000 | + | 4.00000i | 0.162758 | + | 0.162758i | ||||
\(605\) | −13.9861 | − | 5.09494i | −0.568615 | − | 0.207139i | ||||
\(606\) | −29.8774 | − | 14.8756i | −1.21369 | − | 0.604279i | ||||
\(607\) | −35.2152 | −1.42934 | −0.714671 | − | 0.699461i | \(-0.753424\pi\) | ||||
−0.714671 | + | 0.699461i | \(0.753424\pi\) | |||||||
\(608\) | 25.2346 | − | 10.4525i | 1.02340 | − | 0.423905i | ||||
\(609\) | −5.17157 | + | 4.50063i | −0.209563 | + | 0.182375i | ||||
\(610\) | 26.8076 | − | 1.16295i | 1.08541 | − | 0.0470863i | ||||
\(611\) | 3.48106i | 0.140828i | ||||||||
\(612\) | −5.53547 | − | 7.32884i | −0.223758 | − | 0.296251i | ||||
\(613\) | 16.0804 | 0.649480 | 0.324740 | − | 0.945803i | \(-0.394723\pi\) | ||||
0.324740 | + | 0.945803i | \(0.394723\pi\) | |||||||
\(614\) | 23.2603 | − | 9.63475i | 0.938711 | − | 0.388827i | ||||
\(615\) | 3.41888 | + | 8.89912i | 0.137863 | + | 0.358847i | ||||
\(616\) | −10.3431 | + | 24.9706i | −0.416737 | + | 1.00609i | ||||
\(617\) | −31.0949 | −1.25183 | −0.625916 | − | 0.779890i | \(-0.715275\pi\) | ||||
−0.625916 | + | 0.779890i | \(0.715275\pi\) | |||||||
\(618\) | 19.0906 | + | 9.50495i | 0.767935 | + | 0.382345i | ||||
\(619\) | 14.4853 | 0.582213 | 0.291106 | − | 0.956691i | \(-0.405977\pi\) | ||||
0.291106 | + | 0.956691i | \(0.405977\pi\) | |||||||
\(620\) | 12.8980 | + | 27.6801i | 0.517998 | + | 1.11166i | ||||
\(621\) | 4.71179 | − | 3.07107i | 0.189078 | − | 0.123238i | ||||
\(622\) | −5.32857 | − | 12.8643i | −0.213656 | − | 0.515812i | ||||
\(623\) | 19.1116i | 0.765692i | ||||||||
\(624\) | 14.6274 | + | 16.8080i | 0.585565 | + | 0.672859i | ||||
\(625\) | 4.31371 | + | 24.6250i | 0.172548 | + | 0.985001i | ||||
\(626\) | 32.1741 | − | 13.3270i | 1.28594 | − | 0.532653i | ||||
\(627\) | 23.0698 | + | 26.5090i | 0.921319 | + | 1.05867i | ||||
\(628\) | −32.9411 | + | 32.9411i | −1.31449 | + | 1.31449i | ||||
\(629\) | 11.8851 | 0.473889 | ||||||||
\(630\) | −21.4765 | − | 2.04989i | −0.855644 | − | 0.0816694i | ||||
\(631\) | 26.1421i | 1.04070i | 0.853952 | + | 0.520351i | \(0.174199\pi\) | ||||
−0.853952 | + | 0.520351i | \(0.825801\pi\) | |||||||
\(632\) | 0.525265 | − | 1.26810i | 0.0208939 | − | 0.0504424i | ||||
\(633\) | −1.97908 | + | 1.72232i | −0.0786612 | + | 0.0684560i | ||||
\(634\) | 12.8284 | − | 5.31371i | 0.509482 | − | 0.211034i | ||||
\(635\) | −4.77791 | − | 1.74053i | −0.189606 | − | 0.0690707i | ||||
\(636\) | −38.3129 | − | 2.65768i | −1.51920 | − | 0.105384i | ||||
\(637\) | −5.88036 | −0.232988 | ||||||||
\(638\) | 9.55582 | − | 3.95815i | 0.378319 | − | 0.156705i | ||||
\(639\) | 4.92296 | − | 35.3137i | 0.194749 | − | 1.39699i | ||||
\(640\) | 17.0964 | − | 18.6470i | 0.675796 | − | 0.737089i | ||||
\(641\) | − | 24.7897i | − | 0.979135i | −0.871965 | − | 0.489567i | \(-0.837155\pi\) | ||
0.871965 | − | 0.489567i | \(-0.162845\pi\) | |||||||
\(642\) | −12.4429 | − | 6.19516i | −0.491082 | − | 0.244504i | ||||
\(643\) | − | 1.49376i | − | 0.0589081i | −0.999566 | − | 0.0294540i | \(-0.990623\pi\) | ||
0.999566 | − | 0.0294540i | \(-0.00937687\pi\) | |||||||
\(644\) | 3.48106 | + | 3.48106i | 0.137173 | + | 0.137173i | ||||
\(645\) | 12.0926 | + | 31.4762i | 0.476146 | + | 1.23938i | ||||
\(646\) | −4.00000 | − | 9.65685i | −0.157378 | − | 0.379944i | ||||
\(647\) | 42.3671i | 1.66562i | 0.553556 | + | 0.832812i | \(0.313271\pi\) | ||||
−0.553556 | + | 0.832812i | \(0.686729\pi\) | |||||||
\(648\) | −19.9572 | − | 15.8023i | −0.783992 | − | 0.620772i | ||||
\(649\) | 17.6569 | 0.693092 | ||||||||
\(650\) | 6.85049 | − | 21.6847i | 0.268698 | − | 0.850546i | ||||
\(651\) | 17.6569 | + | 20.2891i | 0.692027 | + | 0.795192i | ||||
\(652\) | −12.3125 | − | 12.3125i | −0.482195 | − | 0.482195i | ||||
\(653\) | − | 37.5892i | − | 1.47098i | −0.677535 | − | 0.735490i | \(-0.736952\pi\) | ||
0.677535 | − | 0.735490i | \(-0.263048\pi\) | |||||||
\(654\) | 17.9976 | − | 36.1479i | 0.703762 | − | 1.41350i | ||||
\(655\) | 8.54465 | − | 23.4558i | 0.333867 | − | 0.916496i | ||||
\(656\) | −9.84591 | −0.384418 | ||||||||
\(657\) | 13.5140 | + | 1.88393i | 0.527230 | + | 0.0734993i | ||||
\(658\) | 3.21608 | − | 1.33214i | 0.125376 | − | 0.0519323i | ||||
\(659\) | 0.720950i | 0.0280842i | 0.999901 | + | 0.0140421i | \(0.00446989\pi\) | ||||
−0.999901 | + | 0.0140421i | \(0.995530\pi\) | |||||||
\(660\) | 29.7383 | + | 13.2305i | 1.15756 | + | 0.514995i | ||||
\(661\) | − | 28.7696i | − | 1.11901i | −0.828828 | − | 0.559503i | \(-0.810992\pi\) | ||
0.828828 | − | 0.559503i | \(-0.189008\pi\) | |||||||
\(662\) | 0.819760 | + | 1.97908i | 0.0318609 | + | 0.0769189i | ||||
\(663\) | 6.43215 | − | 5.59767i | 0.249804 | − | 0.217395i | ||||
\(664\) | −18.1421 | − | 7.51472i | −0.704051 | − | 0.291628i | ||||
\(665\) | −23.0698 | − | 8.40401i | −0.894608 | − | 0.325894i | ||||
\(666\) | 31.8827 | − | 8.28328i | 1.23543 | − | 0.320970i | ||||
\(667\) | − | 1.88393i | − | 0.0729462i | ||||||
\(668\) | 7.12840 | + | 7.12840i | 0.275806 | + | 0.275806i | ||||
\(669\) | 13.8368 | − | 12.0416i | 0.534960 | − | 0.465556i | ||||
\(670\) | −7.18461 | + | 0.311677i | −0.277566 | + | 0.0120411i | ||||
\(671\) | −35.6552 | −1.37645 | ||||||||
\(672\) | 9.93092 | − | 19.9461i | 0.383094 | − | 0.769438i | ||||
\(673\) | 5.65180i | 0.217861i | 0.994049 | + | 0.108930i | \(0.0347426\pi\) | ||||
−0.994049 | + | 0.108930i | \(0.965257\pi\) | |||||||
\(674\) | −25.2120 | + | 10.4432i | −0.971131 | + | 0.402256i | ||||
\(675\) | −3.13762 | + | 25.7906i | −0.120767 | + | 0.992681i | ||||
\(676\) | 3.75736 | − | 3.75736i | 0.144514 | − | 0.144514i | ||||
\(677\) | 39.3826i | 1.51360i | 0.653649 | + | 0.756798i | \(0.273237\pi\) | ||||
−0.653649 | + | 0.756798i | \(0.726763\pi\) | |||||||
\(678\) | 1.39031 | + | 0.692217i | 0.0533945 | + | 0.0265844i | ||||
\(679\) | 24.9706i | 0.958282i | ||||||||
\(680\) | −7.13591 | − | 6.54252i | −0.273650 | − | 0.250894i | ||||
\(681\) | −6.24264 | + | 5.43275i | −0.239219 | + | 0.208183i | ||||
\(682\) | −15.5286 | − | 37.4893i | −0.594620 | − | 1.43554i | ||||
\(683\) | 21.3533 | 0.817063 | 0.408532 | − | 0.912744i | \(-0.366041\pi\) | ||||
0.408532 | + | 0.912744i | \(0.366041\pi\) | |||||||
\(684\) | −17.4607 | − | 23.1175i | −0.667625 | − | 0.883920i | ||||
\(685\) | −16.8607 | − | 6.14214i | −0.644215 | − | 0.234679i | ||||
\(686\) | 10.8655 | + | 26.2316i | 0.414846 | + | 1.00153i | ||||
\(687\) | 3.76787 | + | 4.32957i | 0.143753 | + | 0.165183i | ||||
\(688\) | −34.8250 | −1.32769 | ||||||||
\(689\) | − | 35.6552i | − | 1.35836i | ||||||
\(690\) | 4.29926 | − | 4.08211i | 0.163670 | − | 0.155403i | ||||
\(691\) | −12.8284 | −0.488016 | −0.244008 | − | 0.969773i | \(-0.578462\pi\) | ||||
−0.244008 | + | 0.969773i | \(0.578462\pi\) | |||||||
\(692\) | 0.371418 | + | 0.371418i | 0.0141192 | + | 0.0141192i | ||||
\(693\) | 28.3929 | + | 3.95815i | 1.07856 | + | 0.150358i | ||||
\(694\) | −8.24264 | − | 19.8995i | −0.312886 | − | 0.755374i | ||||
\(695\) | −5.22158 | − | 1.90215i | −0.198066 | − | 0.0721527i | ||||
\(696\) | −8.08467 | + | 2.71009i | −0.306449 | + | 0.102726i | ||||
\(697\) | 3.76787i | 0.142718i | ||||||||
\(698\) | 17.8435 | − | 7.39104i | 0.675388 | − | 0.279755i | ||||
\(699\) | −36.6274 | + | 31.8755i | −1.38538 | + | 1.20564i | ||||
\(700\) | −22.6557 | + | 1.96937i | −0.856303 | + | 0.0744351i | ||||
\(701\) | −2.76011 | −0.104248 | −0.0521239 | − | 0.998641i | \(-0.516599\pi\) | ||||
−0.0521239 | + | 0.998641i | \(0.516599\pi\) | |||||||
\(702\) | 13.3535 | − | 19.4991i | 0.503995 | − | 0.735945i | ||||
\(703\) | 37.4893 | 1.41394 | ||||||||
\(704\) | −23.7701 | + | 23.7701i | −0.895871 | + | 0.895871i | ||||
\(705\) | −1.50339 | − | 3.91323i | −0.0566211 | − | 0.147381i | ||||
\(706\) | 14.2843 | + | 34.4853i | 0.537596 | + | 1.29787i | ||||
\(707\) | −30.9861 | −1.16535 | ||||||||
\(708\) | −14.5213 | − | 1.00731i | −0.545743 | − | 0.0378570i | ||||
\(709\) | 20.2843i | 0.761792i | 0.924618 | + | 0.380896i | \(0.124384\pi\) | ||||
−0.924618 | + | 0.380896i | \(0.875616\pi\) | |||||||
\(710\) | −1.62890 | − | 37.5486i | −0.0611317 | − | 1.40917i | ||||
\(711\) | −1.44190 | − | 0.201010i | −0.0540755 | − | 0.00753847i | ||||
\(712\) | −9.09644 | + | 21.9607i | −0.340903 | + | 0.823014i | ||||
\(713\) | −7.39104 | −0.276796 | ||||||||
\(714\) | −7.63305 | − | 3.80040i | −0.285660 | − | 0.142226i | ||||
\(715\) | −10.3431 | + | 28.3929i | −0.386812 | + | 1.06183i | ||||
\(716\) | −10.8655 | − | 10.8655i | −0.406062 | − | 0.406062i | ||||
\(717\) | 17.4125 | − | 15.1535i | 0.650283 | − | 0.565917i | ||||
\(718\) | −17.4125 | − | 42.0375i | −0.649830 | − | 1.56883i | ||||
\(719\) | −28.6931 | −1.07007 | −0.535036 | − | 0.844829i | \(-0.679702\pi\) | ||||
−0.535036 | + | 0.844829i | \(0.679702\pi\) | |||||||
\(720\) | −23.7025 | − | 12.5775i | −0.883339 | − | 0.468735i | ||||
\(721\) | 19.7990 | 0.737353 | ||||||||
\(722\) | −2.33456 | − | 5.63613i | −0.0868834 | − | 0.209755i | ||||
\(723\) | −13.6997 | + | 11.9223i | −0.509497 | + | 0.443397i | ||||
\(724\) | −30.6274 | − | 30.6274i | −1.13826 | − | 1.13826i | ||||
\(725\) | 6.66348 | + | 5.59767i | 0.247476 | + | 0.207892i | ||||
\(726\) | −14.5968 | − | 7.26754i | −0.541736 | − | 0.269724i | ||||
\(727\) | −18.9063 | −0.701195 | −0.350598 | − | 0.936526i | \(-0.614022\pi\) | ||||
−0.350598 | + | 0.936526i | \(0.614022\pi\) | |||||||
\(728\) | 19.1116 | + | 7.91630i | 0.708325 | + | 0.293398i | ||||
\(729\) | −10.8995 | + | 24.7022i | −0.403685 | + | 0.914898i | ||||
\(730\) | 14.3692 | − | 0.623354i | 0.531829 | − | 0.0230714i | ||||
\(731\) | 13.3270i | 0.492916i | ||||||||
\(732\) | 29.3234 | + | 2.03410i | 1.08382 | + | 0.0751825i | ||||
\(733\) | −38.8215 | −1.43390 | −0.716952 | − | 0.697123i | \(-0.754463\pi\) | ||||
−0.716952 | + | 0.697123i | \(0.754463\pi\) | |||||||
\(734\) | −13.1158 | − | 31.6644i | −0.484113 | − | 1.16875i | ||||
\(735\) | 6.61042 | − | 2.53960i | 0.243829 | − | 0.0936747i | ||||
\(736\) | 2.34315 | + | 5.65685i | 0.0863695 | + | 0.208514i | ||||
\(737\) | 9.55582 | 0.351993 | ||||||||
\(738\) | 2.62601 | + | 10.1076i | 0.0966647 | + | 0.372066i | ||||
\(739\) | −32.8284 | −1.20761 | −0.603807 | − | 0.797131i | \(-0.706350\pi\) | ||||
−0.603807 | + | 0.797131i | \(0.706350\pi\) | |||||||
\(740\) | 31.4738 | − | 14.6658i | 1.15700 | − | 0.539125i | ||||
\(741\) | 20.2891 | − | 17.6569i | 0.745338 | − | 0.648641i | ||||
\(742\) | −32.9411 | + | 13.6447i | −1.20931 | + | 0.500911i | ||||
\(743\) | 0.185709i | 0.00681301i | 0.999994 | + | 0.00340650i | \(0.00108433\pi\) | ||||
−0.999994 | + | 0.00340650i | \(0.998916\pi\) | |||||||
\(744\) | 10.6322 | + | 31.7177i | 0.389796 | + | 1.16283i | ||||
\(745\) | 1.51472 | + | 0.551791i | 0.0554950 | + | 0.0202161i | ||||
\(746\) | −5.64391 | − | 13.6256i | −0.206638 | − | 0.498868i | ||||
\(747\) | −2.87576 | + | 20.6286i | −0.105218 | + | 0.754761i | ||||
\(748\) | 9.09644 | + | 9.09644i | 0.332599 | + | 0.332599i | ||||
\(749\) | −12.9046 | −0.471525 | ||||||||
\(750\) | 1.66420 | + | 27.3355i | 0.0607679 | + | 0.998152i | ||||
\(751\) | − | 27.1127i | − | 0.989356i | −0.869076 | − | 0.494678i | \(-0.835286\pi\) | ||
0.869076 | − | 0.494678i | \(-0.164714\pi\) | |||||||
\(752\) | 4.32957 | 0.157883 | ||||||||
\(753\) | −31.8059 | − | 36.5474i | −1.15907 | − | 1.33186i | ||||
\(754\) | −3.02944 | − | 7.31371i | −0.110326 | − | 0.266350i | ||||
\(755\) | 2.16478 | − | 5.94253i | 0.0787846 | − | 0.216271i | ||||
\(756\) | −23.1250 | − | 4.87504i | −0.841047 | − | 0.177303i | ||||
\(757\) | 36.1572 | 1.31416 | 0.657078 | − | 0.753823i | \(-0.271792\pi\) | ||||
0.657078 | + | 0.753823i | \(0.271792\pi\) | |||||||
\(758\) | −8.21080 | − | 19.8226i | −0.298230 | − | 0.719990i | ||||
\(759\) | −5.94253 | + | 5.17157i | −0.215700 | + | 0.187716i | ||||
\(760\) | −22.5090 | − | 20.6372i | −0.816486 | − | 0.748591i | ||||
\(761\) | − | 4.92296i | − | 0.178457i | −0.996011 | − | 0.0892285i | \(-0.971560\pi\) | ||
0.996011 | − | 0.0892285i | \(-0.0284401\pi\) | |||||||
\(762\) | −4.98653 | − | 2.48273i | −0.180643 | − | 0.0899398i | ||||
\(763\) | − | 37.4893i | − | 1.35720i | ||||||
\(764\) | 11.8851 | − | 11.8851i | 0.429987 | − | 0.429987i | ||||
\(765\) | −4.81320 | + | 9.07054i | −0.174022 | + | 0.327946i | ||||
\(766\) | 24.2426 | − | 10.0416i | 0.875922 | − | 0.362819i | ||||
\(767\) | − | 13.5140i | − | 0.487961i | ||||||
\(768\) | 20.9050 | − | 18.1929i | 0.754344 | − | 0.656479i | ||||
\(769\) | 29.5980 | 1.06733 | 0.533665 | − | 0.845696i | \(-0.320814\pi\) | ||||
0.533665 | + | 0.845696i | \(0.320814\pi\) | |||||||
\(770\) | 30.1898 | − | 1.30967i | 1.08796 | − | 0.0471972i | ||||
\(771\) | −3.17157 | + | 2.76011i | −0.114221 | + | 0.0994028i | ||||
\(772\) | 19.2965 | + | 19.2965i | 0.694495 | + | 0.694495i | ||||
\(773\) | 38.1145i | 1.37088i | 0.728128 | + | 0.685442i | \(0.240391\pi\) | ||||
−0.728128 | + | 0.685442i | \(0.759609\pi\) | |||||||
\(774\) | 9.28821 | + | 35.7507i | 0.333858 | + | 1.28503i | ||||
\(775\) | 21.9607 | − | 26.1421i | 0.788853 | − | 0.939053i | ||||
\(776\) | −11.8851 | + | 28.6931i | −0.426649 | + | 1.03002i | ||||
\(777\) | 23.0698 | − | 20.0768i | 0.827624 | − | 0.720251i | ||||
\(778\) | 6.82233 | + | 16.4706i | 0.244592 | + | 0.590498i | ||||
\(779\) | 11.8851i | 0.425827i | ||||||||
\(780\) | 10.1262 | − | 22.7607i | 0.362575 | − | 0.814964i | ||||
\(781\) | 49.9411i | 1.78703i | ||||||||
\(782\) | 2.16478 | − | 0.896683i | 0.0774125 | − | 0.0320653i | ||||
\(783\) | 4.93839 | + | 7.57675i | 0.176484 | + | 0.270771i | ||||
\(784\) | 7.31371i | 0.261204i | ||||||||
\(785\) | 48.9384 | + | 17.8276i | 1.74669 | + | 0.636294i | ||||
\(786\) | 12.1883 | − | 24.4800i | 0.434742 | − | 0.873173i | ||||
\(787\) | 7.60268i | 0.271006i | 0.990777 | + | 0.135503i | \(0.0432651\pi\) | ||||
−0.990777 | + | 0.135503i | \(0.956735\pi\) | |||||||
\(788\) | 11.3492 | + | 11.3492i | 0.404298 | + | 0.404298i | ||||
\(789\) | −31.3657 | − | 36.0416i | −1.11665 | − | 1.28312i | ||||
\(790\) | −1.53315 | + | 0.0665101i | −0.0545471 | + | 0.00236632i | ||||
\(791\) | 1.44190 | 0.0512681 | ||||||||
\(792\) | 30.7417 | + | 18.0622i | 1.09236 | + | 0.641812i | ||||
\(793\) | 27.2893i | 0.969072i | ||||||||
\(794\) | 0.298627 | + | 0.720950i | 0.0105979 | + | 0.0255856i | ||||
\(795\) | 15.3987 | + | 40.0818i | 0.546137 | + | 1.42156i | ||||
\(796\) | 20.9706 | + | 20.9706i | 0.743282 | + | 0.743282i | ||||
\(797\) | − | 0.634051i | − | 0.0224592i | −0.999937 | − | 0.0112296i | \(-0.996425\pi\) | ||
0.999937 | − | 0.0112296i | \(-0.00357457\pi\) | |||||||
\(798\) | −24.0771 | − | 11.9877i | −0.852320 | − | 0.424359i | ||||
\(799\) | − | 1.65685i | − | 0.0586153i | ||||||
\(800\) | −26.9704 | − | 8.52030i | −0.953549 | − | 0.301238i | ||||
\(801\) | 24.9706 | + | 3.48106i | 0.882291 | + | 0.122997i | ||||
\(802\) | 32.9411 | − | 13.6447i | 1.16319 | − | 0.481810i | ||||
\(803\) | −19.1116 | −0.674435 | ||||||||
\(804\) | −7.85886 | − | 0.545152i | −0.277161 | − | 0.0192260i | ||||
\(805\) | 1.88393 | − | 5.17157i | 0.0663999 | − | 0.182274i | ||||
\(806\) | −28.6931 | + | 11.8851i | −1.01067 | + | 0.418634i | ||||
\(807\) | −10.0384 | + | 8.73606i | −0.353369 | + | 0.307524i | ||||
\(808\) | −35.6054 | − | 14.7482i | −1.25259 | − | 0.518841i | ||||
\(809\) | − | 40.5782i | − | 1.42665i | −0.700832 | − | 0.713326i | \(-0.747188\pi\) | ||
0.700832 | − | 0.713326i | \(-0.252812\pi\) | |||||||
\(810\) | −6.59010 | + | 27.6870i | −0.231553 | + | 0.972822i | ||||
\(811\) | 2.48528 | 0.0872700 | 0.0436350 | − | 0.999048i | \(-0.486106\pi\) | ||||
0.0436350 | + | 0.999048i | \(0.486106\pi\) | |||||||
\(812\) | −5.59767 | + | 5.59767i | −0.196440 | + | 0.196440i | ||||
\(813\) | −16.0804 | − | 18.4776i | −0.563964 | − | 0.648037i | ||||
\(814\) | −42.6274 | + | 17.6569i | −1.49409 | + | 0.618872i | ||||
\(815\) | −6.66348 | + | 18.2919i | −0.233412 | + | 0.640737i | ||||
\(816\) | −6.96211 | − | 8.00000i | −0.243723 | − | 0.280056i | ||||
\(817\) | 42.0375i | 1.47071i | ||||||||
\(818\) | 3.88123 | + | 9.37011i | 0.135704 | + | 0.327618i | ||||
\(819\) | 3.02944 | − | 21.7310i | 0.105857 | − | 0.759342i | ||||
\(820\) | 4.64942 | + | 9.97799i | 0.162365 | + | 0.348447i | ||||
\(821\) | 31.4532 | 1.09772 | 0.548862 | − | 0.835913i | \(-0.315061\pi\) | ||||
0.548862 | + | 0.835913i | \(0.315061\pi\) | |||||||
\(822\) | −17.5969 | − | 8.76129i | −0.613763 | − | 0.305585i | ||||
\(823\) | −48.0795 | −1.67595 | −0.837973 | − | 0.545711i | \(-0.816260\pi\) | ||||
−0.837973 | + | 0.545711i | \(0.816260\pi\) | |||||||
\(824\) | 22.7506 | + | 9.42359i | 0.792553 | + | 0.328286i | ||||
\(825\) | −0.635027 | − | 36.3849i | −0.0221088 | − | 1.26676i | ||||
\(826\) | −12.4853 | + | 5.17157i | −0.434418 | + | 0.179942i | ||||
\(827\) | −17.7666 | −0.617806 | −0.308903 | − | 0.951094i | \(-0.599962\pi\) | ||||
−0.308903 | + | 0.951094i | \(0.599962\pi\) | |||||||
\(828\) | 5.18227 | − | 3.91417i | 0.180096 | − | 0.136027i | ||||
\(829\) | − | 10.8284i | − | 0.376087i | −0.982161 | − | 0.188043i | \(-0.939785\pi\) | ||
0.982161 | − | 0.188043i | \(-0.0602146\pi\) | |||||||
\(830\) | 0.951528 | + | 21.9341i | 0.0330280 | + | 0.761344i | ||||
\(831\) | 22.0296 | − | 19.1716i | 0.764199 | − | 0.665054i | ||||
\(832\) | 18.1929 | + | 18.1929i | 0.630724 | + | 0.630724i | ||||
\(833\) | 2.79884 | 0.0969739 | ||||||||
\(834\) | −5.44958 | − | 2.71327i | −0.188703 | − | 0.0939530i | ||||
\(835\) | 3.85786 | − | 10.5902i | 0.133507 | − | 0.366489i | ||||
\(836\) | 28.6931 | + | 28.6931i | 0.992371 | + | 0.992371i | ||||
\(837\) | 29.7250 | − | 19.3743i | 1.02745 | − | 0.669673i | ||||
\(838\) | 5.49019 | − | 2.27411i | 0.189655 | − | 0.0785578i | ||||
\(839\) | 5.52021 | 0.190579 | 0.0952894 | − | 0.995450i | \(-0.469622\pi\) | ||||
0.0952894 | + | 0.995450i | \(0.469622\pi\) | |||||||
\(840\) | −24.9033 | − | 0.645208i | −0.859244 | − | 0.0222618i | ||||
\(841\) | −25.9706 | −0.895537 | ||||||||
\(842\) | −38.1145 | + | 15.7875i | −1.31351 | + | 0.544075i | ||||
\(843\) | 6.75699 | + | 7.76429i | 0.232723 | + | 0.267417i | ||||
\(844\) | −2.14214 | + | 2.14214i | −0.0737353 | + | 0.0737353i | ||||
\(845\) | −5.58206 | − | 2.03347i | −0.192029 | − | 0.0699534i | ||||
\(846\) | −1.15474 | − | 4.44465i | −0.0397008 | − | 0.152810i | ||||
\(847\) | −15.1384 | −0.520162 | ||||||||
\(848\) | −44.3462 | −1.52286 | ||||||||
\(849\) | −29.6985 | − | 34.1258i | −1.01925 | − | 1.17120i | ||||
\(850\) | −3.26058 | + | 10.3211i | −0.111837 | + | 0.354012i | ||||
\(851\) | 8.40401i | 0.288086i | ||||||||
\(852\) | 2.84910 | − | 41.0724i | 0.0976086 | − | 1.40712i | ||||
\(853\) | 6.98394 | 0.239126 | 0.119563 | − | 0.992827i | \(-0.461851\pi\) | ||||
0.119563 | + | 0.992827i | \(0.461851\pi\) | |||||||
\(854\) | 25.2120 | − | 10.4432i | 0.862738 | − | 0.357358i | ||||
\(855\) | −15.1824 | + | 28.6114i | −0.519226 | + | 0.978489i | ||||
\(856\) | −14.8284 | − | 6.14214i | −0.506825 | − | 0.209934i | ||||
\(857\) | −27.1367 | −0.926973 | −0.463486 | − | 0.886104i | \(-0.653402\pi\) | ||||
−0.463486 | + | 0.886104i | \(0.653402\pi\) | |||||||
\(858\) | −14.7537 | + | 29.6326i | −0.503683 | + | 1.01164i | ||||
\(859\) | 32.1421 | 1.09668 | 0.548338 | − | 0.836257i | \(-0.315261\pi\) | ||||
0.548338 | + | 0.836257i | \(0.315261\pi\) | |||||||
\(860\) | 16.4450 | + | 35.2922i | 0.560771 | + | 1.20345i | ||||
\(861\) | 6.36486 | + | 7.31371i | 0.216914 | + | 0.249251i | ||||
\(862\) | 11.7607 | + | 28.3929i | 0.400572 | + | 0.967066i | ||||
\(863\) | − | 32.8113i | − | 1.11691i | −0.829535 | − | 0.558455i | \(-0.811394\pi\) | ||
0.829535 | − | 0.558455i | \(-0.188606\pi\) | |||||||
\(864\) | −24.2520 | − | 16.6084i | −0.825070 | − | 0.565030i | ||||
\(865\) | 0.201010 | − | 0.551791i | 0.00683455 | − | 0.0187615i | ||||
\(866\) | −38.1167 | + | 15.7884i | −1.29526 | + | 0.536513i | ||||
\(867\) | 19.1501 | − | 16.6656i | 0.650372 | − | 0.565995i | ||||
\(868\) | 21.9607 | + | 21.9607i | 0.745396 | + | 0.745396i | ||||
\(869\) | 2.03916 | 0.0691736 | ||||||||
\(870\) | 6.56418 | + | 6.91337i | 0.222547 | + | 0.234385i | ||||
\(871\) | − | 7.31371i | − | 0.247816i | ||||||
\(872\) | 17.8435 | − | 43.0781i | 0.604259 | − | 1.45881i | ||||
\(873\) | 32.6256 | + | 4.54822i | 1.10421 | + | 0.153934i | ||||
\(874\) | 6.82843 | − | 2.82843i | 0.230975 | − | 0.0956730i | ||||
\(875\) | 12.6942 | + | 22.0296i | 0.429143 | + | 0.744737i | ||||
\(876\) | 15.7177 | + | 1.09030i | 0.531053 | + | 0.0368379i | ||||
\(877\) | −33.4929 | −1.13098 | −0.565488 | − | 0.824757i | \(-0.691312\pi\) | ||||
−0.565488 | + | 0.824757i | \(0.691312\pi\) | |||||||
\(878\) | 15.0447 | − | 6.23172i | 0.507734 | − | 0.210310i | ||||
\(879\) | 18.5486 | + | 21.3137i | 0.625627 | + | 0.718894i | ||||
\(880\) | 35.3137 | + | 12.8643i | 1.19042 | + | 0.433656i | ||||
\(881\) | − | 12.3074i | − | 0.414647i | −0.978272 | − | 0.207323i | \(-0.933525\pi\) | ||
0.978272 | − | 0.207323i | \(-0.0664752\pi\) | |||||||
\(882\) | 7.50810 | − | 1.95064i | 0.252811 | − | 0.0656816i | ||||
\(883\) | 12.4741i | 0.419788i | 0.977724 | + | 0.209894i | \(0.0673119\pi\) | ||||
−0.977724 | + | 0.209894i | \(0.932688\pi\) | |||||||
\(884\) | 6.96211 | − | 6.96211i | 0.234161 | − | 0.234161i | ||||
\(885\) | 5.83640 | + | 15.1918i | 0.196188 | + | 0.510665i | ||||
\(886\) | 21.8995 | + | 52.8701i | 0.735728 | + | 1.77620i | ||||
\(887\) | − | 37.6662i | − | 1.26471i | −0.774680 | − | 0.632353i | \(-0.782089\pi\) | ||
0.774680 | − | 0.632353i | \(-0.217911\pi\) | |||||||
\(888\) | 36.0648 | − | 12.0894i | 1.21025 | − | 0.405694i | ||||
\(889\) | −5.17157 | −0.173449 | ||||||||
\(890\) | 26.5508 | − | 1.15181i | 0.889986 | − | 0.0386087i | ||||
\(891\) | 10.3431 | − | 36.3762i | 0.346508 | − | 1.21865i | ||||
\(892\) | 14.9768 | − | 14.9768i | 0.501460 | − | 0.501460i | ||||
\(893\) | − | 5.22625i | − | 0.174890i | ||||||
\(894\) | 1.58086 | + | 0.787088i | 0.0528718 | + | 0.0263242i | ||||
\(895\) | −5.88036 | + | 16.1421i | −0.196559 | + | 0.539572i | ||||
\(896\) | 9.84591 | − | 23.7701i | 0.328929 | − | 0.794104i | ||||
\(897\) | 3.95815 | + | 4.54822i | 0.132159 | + | 0.151861i | ||||
\(898\) | 32.3893 | − | 13.4161i | 1.08085 | − | 0.447701i | ||||
\(899\) | − | 11.8851i | − | 0.396389i | ||||||
\(900\) | −1.55347 | + | 29.9598i | −0.0517824 | + | 0.998658i | ||||
\(901\) | 16.9706i | 0.565371i | ||||||||
\(902\) | −5.59767 | − | 13.5140i | −0.186382 | − | 0.449966i | ||||
\(903\) | 22.5125 | + | 25.8686i | 0.749170 | + | 0.860854i | ||||
\(904\) | 1.65685 | + | 0.686292i | 0.0551062 | + | 0.0228257i | ||||
\(905\) | −16.5754 | + | 45.5011i | −0.550986 | + | 1.51251i | ||||
\(906\) | 3.08790 | − | 6.20201i | 0.102589 | − | 0.206048i | ||||
\(907\) | − | 46.1956i | − | 1.53390i | −0.641707 | − | 0.766950i | \(-0.721774\pi\) | ||
0.641707 | − | 0.766950i | \(-0.278226\pi\) | |||||||
\(908\) | −6.75699 | + | 6.75699i | −0.224238 | + | 0.224238i | ||||
\(909\) | −5.64391 | + | 40.4853i | −0.187197 | + | 1.34281i | ||||
\(910\) | −1.00238 | − | 23.1062i | −0.0332285 | − | 0.765965i | ||||
\(911\) | 28.6931 | 0.950645 | 0.475322 | − | 0.879812i | \(-0.342331\pi\) | ||||
0.475322 | + | 0.879812i | \(0.342331\pi\) | |||||||
\(912\) | −21.9607 | − | 25.2346i | −0.727193 | − | 0.835600i | ||||
\(913\) | − | 29.1732i | − | 0.965493i | ||||||
\(914\) | 16.8080 | − | 6.96211i | 0.555960 | − | 0.230286i | ||||
\(915\) | −11.7857 | − | 30.6773i | −0.389622 | − | 1.01416i | ||||
\(916\) | 4.68629 | + | 4.68629i | 0.154839 | + | 0.154839i | ||||
\(917\) | − | 25.3884i | − | 0.838400i | ||||||
\(918\) | −6.35577 | + | 9.28084i | −0.209772 | + | 0.306314i | ||||
\(919\) | 22.1421i | 0.730402i | 0.930929 | + | 0.365201i | \(0.119000\pi\) | ||||
−0.930929 | + | 0.365201i | \(0.881000\pi\) | |||||||
\(920\) | 4.62626 | − | 5.04585i | 0.152523 | − | 0.166357i | ||||
\(921\) | −20.2426 | − | 23.2603i | −0.667018 | − | 0.766454i | ||||
\(922\) | −10.0384 | − | 24.2349i | −0.330597 | − | 0.798132i | ||||
\(923\) | 38.2233 | 1.25813 | ||||||||
\(924\) | 33.0230 | + | 2.29073i | 1.08638 | + | 0.0753595i | ||||
\(925\) | −29.7250 | − | 24.9706i | −0.977353 | − | 0.821027i | ||||
\(926\) | 2.67264 | + | 6.45232i | 0.0878284 | + | 0.212036i | ||||
\(927\) | 3.60625 | − | 25.8686i | 0.118445 | − | 0.849637i | ||||
\(928\) | −9.09644 | + | 3.76787i | −0.298605 | + | 0.123686i | ||||
\(929\) | 56.3666i | 1.84933i | 0.380784 | + | 0.924664i | \(0.375654\pi\) | ||||
−0.380784 | + | 0.924664i | \(0.624346\pi\) | |||||||
\(930\) | 27.1225 | − | 25.7526i | 0.889381 | − | 0.844460i | ||||
\(931\) | 8.82843 | 0.289340 | ||||||||
\(932\) | −39.6452 | + | 39.6452i | −1.29862 | + | 1.29862i | ||||
\(933\) | −12.8643 | + | 11.1953i | −0.421158 | + | 0.366519i | ||||
\(934\) | −4.72792 | − | 11.4142i | −0.154702 | − | 0.373484i | ||||
\(935\) | 4.92296 | − | 13.5140i | 0.160998 | − | 0.441954i | ||||
\(936\) | 13.8242 | − | 23.5287i | 0.451858 | − | 0.769058i | ||||
\(937\) | − | 32.9411i | − | 1.07614i | −0.842900 | − | 0.538070i | \(-0.819154\pi\) | ||
0.842900 | − | 0.538070i | \(-0.180846\pi\) | |||||||
\(938\) | −6.75699 | + | 2.79884i | −0.220623 | + | 0.0913852i | ||||
\(939\) | −28.0000 | − | 32.1741i | −0.913745 | − | 1.04996i | ||||
\(940\) | −2.04450 | − | 4.38765i | −0.0666843 | − | 0.143109i | ||||
\(941\) | 3.18243 | 0.103744 | 0.0518721 | − | 0.998654i | \(-0.483481\pi\) | ||||
0.0518721 | + | 0.998654i | \(0.483481\pi\) | |||||||
\(942\) | 51.0752 | + | 25.4297i | 1.66412 | + | 0.828545i | ||||
\(943\) | −2.66428 | −0.0867610 | ||||||||
\(944\) | −16.8080 | −0.547055 | ||||||||
\(945\) | 5.97960 | + | 25.7373i | 0.194517 | + | 0.837233i | ||||
\(946\) | −19.7990 | − | 47.7990i | −0.643721 | − | 1.55408i | ||||
\(947\) | 36.5068 | 1.18631 | 0.593156 | − | 0.805087i | \(-0.297882\pi\) | ||||
0.593156 | + | 0.805087i | \(0.297882\pi\) | |||||||
\(948\) | −1.67703 | − | 0.116332i | −0.0544675 | − | 0.00377829i | ||||
\(949\) | 14.6274i | 0.474826i | ||||||||
\(950\) | −10.2849 | + | 32.5562i | −0.333687 | + | 1.05626i | ||||
\(951\) | −11.1641 | − | 12.8284i | −0.362021 | − | 0.415990i | ||||
\(952\) | −9.09644 | − | 3.76787i | −0.294817 | − | 0.122117i | ||||
\(953\) | 39.9079 | 1.29274 | 0.646371 | − | 0.763023i | \(-0.276286\pi\) | ||||
0.646371 | + | 0.763023i | \(0.276286\pi\) | |||||||
\(954\) | 11.8276 | + | 45.5249i | 0.382933 | + | 1.47392i | ||||
\(955\) | −17.6569 | − | 6.43215i | −0.571362 | − | 0.208140i | ||||
\(956\) | 18.8472 | − | 18.8472i | 0.609561 | − | 0.609561i | ||||
\(957\) | −8.31609 | − | 9.55582i | −0.268821 | − | 0.308896i | ||||
\(958\) | 8.31609 | + | 20.0768i | 0.268681 | + | 0.648652i | ||||
\(959\) | −18.2499 | −0.589321 | ||||||||
\(960\) | −28.3087 | − | 12.5944i | −0.913658 | − | 0.406483i | ||||
\(961\) | −15.6274 | −0.504110 | ||||||||
\(962\) | 13.5140 | + | 32.6256i | 0.435708 | + | 1.05189i | ||||
\(963\) | −2.35049 | + | 16.8607i | −0.0757436 | + | 0.543329i | ||||
\(964\) | −14.8284 | + | 14.8284i | −0.477591 | + | 0.477591i | ||||
\(965\) | 10.4432 | − | 28.6675i | 0.336177 | − | 0.922838i | ||||
\(966\) | 2.68729 | − | 5.39738i | 0.0864621 | − | 0.173658i | ||||
\(967\) | 51.8474 | 1.66730 | 0.833650 | − | 0.552293i | \(-0.186247\pi\) | ||||
0.833650 | + | 0.552293i | \(0.186247\pi\) | |||||||
\(968\) | −17.3952 | − | 7.20533i | −0.559103 | − | 0.231588i | ||||
\(969\) | −9.65685 | + | 8.40401i | −0.310223 | + | 0.269976i | ||||
\(970\) | 34.6904 | − | 1.50491i | 1.11384 | − | 0.0483198i | ||||
\(971\) | − | 48.2612i | − | 1.54878i | −0.632711 | − | 0.774388i | \(-0.718058\pi\) | ||
0.632711 | − | 0.774388i | \(-0.281942\pi\) | |||||||
\(972\) | −10.5816 | + | 29.3263i | −0.339405 | + | 0.940640i | ||||
\(973\) | −5.65180 | −0.181188 | ||||||||
\(974\) | −10.6543 | − | 25.7218i | −0.341387 | − | 0.824180i | ||||
\(975\) | −27.8478 | + | 0.486029i | −0.891843 | + | 0.0155654i | ||||
\(976\) | 33.9411 | 1.08643 | ||||||||
\(977\) | −13.7766 | −0.440753 | −0.220376 | − | 0.975415i | \(-0.570729\pi\) | ||||
−0.220376 | + | 0.975415i | \(0.570729\pi\) | |||||||
\(978\) | −9.50495 | + | 19.0906i | −0.303935 | + | 0.610449i | ||||
\(979\) | −35.3137 | −1.12863 | ||||||||
\(980\) | 7.41182 | − | 3.45367i | 0.236762 | − | 0.110323i | ||||
\(981\) | −48.9822 | − | 6.82843i | −1.56388 | − | 0.218015i | ||||
\(982\) | −18.3545 | + | 7.60268i | −0.585715 | + | 0.242611i | ||||
\(983\) | 1.97908i | 0.0631227i | 0.999502 | + | 0.0315613i | \(0.0100480\pi\) | ||||
−0.999502 | + | 0.0315613i | \(0.989952\pi\) | |||||||
\(984\) | 3.83265 | + | 11.4334i | 0.122181 | + | 0.364485i | ||||
\(985\) | 6.14214 | − | 16.8607i | 0.195705 | − | 0.537228i | ||||
\(986\) | 1.44190 | + | 3.48106i | 0.0459195 | + | 0.110859i | ||||
\(987\) | −2.79884 | − | 3.21608i | −0.0890879 | − | 0.102369i | ||||
\(988\) | 21.9607 | − | 21.9607i | 0.698664 | − | 0.698664i | ||||
\(989\) | −9.42359 | −0.299653 | ||||||||
\(990\) | 3.78770 | − | 39.6834i | 0.120381 | − | 1.26122i | ||||
\(991\) | 19.7990i | 0.628936i | 0.949268 | + | 0.314468i | \(0.101826\pi\) | ||||
−0.949268 | + | 0.314468i | \(0.898174\pi\) | |||||||
\(992\) | 14.7821 | + | 35.6871i | 0.469331 | + | 1.13307i | ||||
\(993\) | 1.97908 | − | 1.72232i | 0.0628041 | − | 0.0546561i | ||||
\(994\) | −14.6274 | − | 35.3137i | −0.463953 | − | 1.12008i | ||||
\(995\) | 11.3492 | − | 31.1546i | 0.359793 | − | 0.987666i | ||||
\(996\) | −1.66431 | + | 23.9925i | −0.0527357 | + | 0.760233i | ||||
\(997\) | 12.3125 | 0.389941 | 0.194971 | − | 0.980809i | \(-0.437539\pi\) | ||||
0.194971 | + | 0.980809i | \(0.437539\pi\) | |||||||
\(998\) | −13.5909 | − | 32.8113i | −0.430212 | − | 1.03862i | ||||
\(999\) | −22.0296 | − | 33.7990i | −0.696986 | − | 1.06935i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))