Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(11,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.u (of order \(12\), degree \(4\), 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: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 59.22 | ||
Character | \(\chi\) | \(=\) | 144.59 |
Dual form | 144.2.u.a.83.22 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41416 | − | 0.0121383i | 0.999963 | − | 0.00858306i | ||||
\(3\) | −1.32549 | + | 1.11494i | −0.765270 | + | 0.643709i | ||||
\(4\) | 1.99971 | − | 0.0343310i | 0.999853 | − | 0.0171655i | ||||
\(5\) | 0.323102 | + | 1.20583i | 0.144496 | + | 0.539266i | 0.999777 | + | 0.0211020i | \(0.00671747\pi\) |
−0.855282 | + | 0.518164i | \(0.826616\pi\) | |||||||
\(6\) | −1.86092 | + | 1.59279i | −0.759717 | + | 0.650254i | ||||
\(7\) | 0.140266 | + | 0.242948i | 0.0530156 | + | 0.0918256i | 0.891315 | − | 0.453384i | \(-0.149783\pi\) |
−0.838300 | + | 0.545210i | \(0.816450\pi\) | |||||||
\(8\) | 2.82749 | − | 0.0728225i | 0.999669 | − | 0.0257466i | ||||
\(9\) | 0.513832 | − | 2.95567i | 0.171277 | − | 0.985223i | ||||
\(10\) | 0.471556 | + | 1.70132i | 0.149119 | + | 0.538005i | ||||
\(11\) | −0.823794 | + | 3.07444i | −0.248383 | + | 0.926979i | 0.723269 | + | 0.690566i | \(0.242639\pi\) |
−0.971653 | + | 0.236413i | \(0.924028\pi\) | |||||||
\(12\) | −2.61231 | + | 2.27505i | −0.754108 | + | 0.656750i | ||||
\(13\) | −0.740984 | − | 2.76539i | −0.205512 | − | 0.766982i | −0.989293 | − | 0.145944i | \(-0.953378\pi\) |
0.783781 | − | 0.621038i | \(-0.213289\pi\) | |||||||
\(14\) | 0.201308 | + | 0.341865i | 0.0538017 | + | 0.0913672i | ||||
\(15\) | −1.77270 | − | 1.23808i | −0.457708 | − | 0.319671i | ||||
\(16\) | 3.99764 | − | 0.137304i | 0.999411 | − | 0.0343259i | ||||
\(17\) | − | 3.72031i | − | 0.902309i | −0.892446 | − | 0.451154i | \(-0.851012\pi\) | ||
0.892446 | − | 0.451154i | \(-0.148988\pi\) | |||||||
\(18\) | 0.690765 | − | 4.18603i | 0.162815 | − | 0.986657i | ||||
\(19\) | −4.10860 | − | 4.10860i | −0.942577 | − | 0.942577i | 0.0558614 | − | 0.998439i | \(-0.482209\pi\) |
−0.998439 | + | 0.0558614i | \(0.982209\pi\) | |||||||
\(20\) | 0.687507 | + | 2.40022i | 0.153731 | + | 0.536706i | ||||
\(21\) | −0.456792 | − | 0.165636i | −0.0996802 | − | 0.0361448i | ||||
\(22\) | −1.12766 | + | 4.35776i | −0.240418 | + | 0.929077i | ||||
\(23\) | −1.57595 | − | 0.909876i | −0.328609 | − | 0.189722i | 0.326615 | − | 0.945158i | \(-0.394092\pi\) |
−0.655223 | + | 0.755435i | \(0.727425\pi\) | |||||||
\(24\) | −3.66661 | + | 3.24900i | −0.748443 | + | 0.663199i | ||||
\(25\) | 2.98049 | − | 1.72078i | 0.596097 | − | 0.344157i | ||||
\(26\) | −1.08144 | − | 3.90172i | −0.212088 | − | 0.765189i | ||||
\(27\) | 2.61431 | + | 4.49059i | 0.503123 | + | 0.864215i | ||||
\(28\) | 0.288831 | + | 0.481009i | 0.0545840 | + | 0.0909021i | ||||
\(29\) | −1.02626 | + | 3.83006i | −0.190572 | + | 0.711224i | 0.802797 | + | 0.596253i | \(0.203344\pi\) |
−0.993369 | + | 0.114972i | \(0.963322\pi\) | |||||||
\(30\) | −2.52191 | − | 1.72933i | −0.460435 | − | 0.315730i | ||||
\(31\) | −8.81101 | − | 5.08704i | −1.58250 | − | 0.913659i | −0.994493 | − | 0.104807i | \(-0.966578\pi\) |
−0.588012 | − | 0.808852i | \(-0.700089\pi\) | |||||||
\(32\) | 5.65165 | − | 0.242694i | 0.999079 | − | 0.0429026i | ||||
\(33\) | −2.33588 | − | 4.99361i | −0.406625 | − | 0.869276i | ||||
\(34\) | −0.0451582 | − | 5.26112i | −0.00774456 | − | 0.902275i | ||||
\(35\) | −0.247635 | + | 0.247635i | −0.0418579 | + | 0.0418579i | ||||
\(36\) | 0.926042 | − | 5.92811i | 0.154340 | − | 0.988018i | ||||
\(37\) | 1.76964 | + | 1.76964i | 0.290928 | + | 0.290928i | 0.837447 | − | 0.546519i | \(-0.184047\pi\) |
−0.546519 | + | 0.837447i | \(0.684047\pi\) | |||||||
\(38\) | −5.86009 | − | 5.76035i | −0.950633 | − | 0.934452i | ||||
\(39\) | 4.06540 | + | 2.83934i | 0.650985 | + | 0.454658i | ||||
\(40\) | 1.00138 | + | 3.38595i | 0.158332 | + | 0.535366i | ||||
\(41\) | −2.66819 | + | 4.62144i | −0.416701 | + | 0.721747i | −0.995605 | − | 0.0936482i | \(-0.970147\pi\) |
0.578904 | + | 0.815395i | \(0.303480\pi\) | |||||||
\(42\) | −0.647988 | − | 0.228692i | −0.0999868 | − | 0.0352880i | ||||
\(43\) | 6.89490 | + | 1.84748i | 1.05146 | + | 0.281738i | 0.742856 | − | 0.669452i | \(-0.233471\pi\) |
0.308606 | + | 0.951190i | \(0.400138\pi\) | |||||||
\(44\) | −1.54180 | + | 6.17626i | −0.232435 | + | 0.931106i | ||||
\(45\) | 3.73007 | − | 0.335387i | 0.556046 | − | 0.0499965i | ||||
\(46\) | −2.23969 | − | 1.26758i | −0.330225 | − | 0.186895i | ||||
\(47\) | 5.48486 | + | 9.50006i | 0.800049 | + | 1.38573i | 0.919583 | + | 0.392896i | \(0.128527\pi\) |
−0.119534 | + | 0.992830i | \(0.538140\pi\) | |||||||
\(48\) | −5.14574 | + | 4.63911i | −0.742723 | + | 0.669598i | ||||
\(49\) | 3.46065 | − | 5.99402i | 0.494379 | − | 0.856289i | ||||
\(50\) | 4.19400 | − | 2.46964i | 0.593121 | − | 0.349260i | ||||
\(51\) | 4.14791 | + | 4.93123i | 0.580824 | + | 0.690510i | ||||
\(52\) | −1.57669 | − | 5.50453i | −0.218647 | − | 0.763341i | ||||
\(53\) | −8.58403 | + | 8.58403i | −1.17911 | + | 1.17911i | −0.199135 | + | 0.979972i | \(0.563813\pi\) |
−0.979972 | + | 0.199135i | \(0.936187\pi\) | |||||||
\(54\) | 3.75156 | + | 6.31869i | 0.510522 | + | 0.859864i | ||||
\(55\) | −3.97344 | −0.535778 | ||||||||
\(56\) | 0.414293 | + | 0.676718i | 0.0553622 | + | 0.0904302i | ||||
\(57\) | 10.0267 | + | 0.865067i | 1.32807 | + | 0.114581i | ||||
\(58\) | −1.40481 | + | 5.42878i | −0.184460 | + | 0.712834i | ||||
\(59\) | 5.38532 | − | 1.44299i | 0.701109 | − | 0.187862i | 0.109382 | − | 0.994000i | \(-0.465113\pi\) |
0.591727 | + | 0.806138i | \(0.298446\pi\) | |||||||
\(60\) | −3.58738 | − | 2.41494i | −0.463128 | − | 0.311767i | ||||
\(61\) | −6.23168 | − | 1.66977i | −0.797885 | − | 0.213793i | −0.163230 | − | 0.986588i | \(-0.552191\pi\) |
−0.634655 | + | 0.772796i | \(0.718858\pi\) | |||||||
\(62\) | −12.5219 | − | 7.08695i | −1.59029 | − | 0.900043i | ||||
\(63\) | 0.790146 | − | 0.289745i | 0.0995491 | − | 0.0365045i | ||||
\(64\) | 7.98939 | − | 0.411810i | 0.998674 | − | 0.0514762i | ||||
\(65\) | 3.09519 | − | 1.78701i | 0.383911 | − | 0.221651i | ||||
\(66\) | −3.36393 | − | 7.03342i | −0.414071 | − | 0.865754i | ||||
\(67\) | 3.75640 | − | 1.00652i | 0.458918 | − | 0.122967i | −0.0219514 | − | 0.999759i | \(-0.506988\pi\) |
0.480869 | + | 0.876792i | \(0.340321\pi\) | |||||||
\(68\) | −0.127722 | − | 7.43953i | −0.0154886 | − | 0.902176i | ||||
\(69\) | 3.10336 | − | 0.551057i | 0.373600 | − | 0.0663395i | ||||
\(70\) | −0.347189 | + | 0.353201i | −0.0414971 | + | 0.0422156i | ||||
\(71\) | − | 10.6808i | − | 1.26758i | −0.773506 | − | 0.633789i | \(-0.781499\pi\) | ||
0.773506 | − | 0.633789i | \(-0.218501\pi\) | |||||||
\(72\) | 1.23762 | − | 8.39454i | 0.145854 | − | 0.989306i | ||||
\(73\) | 9.30419i | 1.08897i | 0.838770 | + | 0.544487i | \(0.183275\pi\) | ||||
−0.838770 | + | 0.544487i | \(0.816725\pi\) | |||||||
\(74\) | 2.52404 | + | 2.48108i | 0.293414 | + | 0.288420i | ||||
\(75\) | −2.03203 | + | 5.60393i | −0.234639 | + | 0.647086i | ||||
\(76\) | −8.35704 | − | 8.07493i | −0.958618 | − | 0.926258i | ||||
\(77\) | −0.862479 | + | 0.231101i | −0.0982886 | + | 0.0263364i | ||||
\(78\) | 5.78360 | + | 3.96594i | 0.654864 | + | 0.449054i | ||||
\(79\) | −8.70990 | + | 5.02866i | −0.979940 | + | 0.565769i | −0.902252 | − | 0.431209i | \(-0.858087\pi\) |
−0.0776882 | + | 0.996978i | \(0.524754\pi\) | |||||||
\(80\) | 1.45721 | + | 4.77613i | 0.162921 | + | 0.533988i | ||||
\(81\) | −8.47195 | − | 3.03744i | −0.941328 | − | 0.337493i | ||||
\(82\) | −3.71715 | + | 6.56784i | −0.410491 | + | 0.725297i | ||||
\(83\) | 2.19703 | + | 0.588691i | 0.241155 | + | 0.0646173i | 0.377372 | − | 0.926062i | \(-0.376828\pi\) |
−0.136217 | + | 0.990679i | \(0.543494\pi\) | |||||||
\(84\) | −0.919136 | − | 0.315542i | −0.100286 | − | 0.0344285i | ||||
\(85\) | 4.48608 | − | 1.20204i | 0.486584 | − | 0.130380i | ||||
\(86\) | 9.77292 | + | 2.52895i | 1.05384 | + | 0.272703i | ||||
\(87\) | −2.90998 | − | 6.22091i | −0.311982 | − | 0.666952i | ||||
\(88\) | −2.10538 | + | 8.75294i | −0.224434 | + | 0.933067i | ||||
\(89\) | 1.87637 | 0.198895 | 0.0994475 | − | 0.995043i | \(-0.468292\pi\) | ||||
0.0994475 | + | 0.995043i | \(0.468292\pi\) | |||||||
\(90\) | 5.27085 | − | 0.519568i | 0.555596 | − | 0.0547672i | ||||
\(91\) | 0.567911 | − | 0.567911i | 0.0595332 | − | 0.0595332i | ||||
\(92\) | −3.18267 | − | 1.76538i | −0.331817 | − | 0.184054i | ||||
\(93\) | 17.3506 | − | 3.08091i | 1.79917 | − | 0.319476i | ||||
\(94\) | 7.87179 | + | 13.3680i | 0.811913 | + | 1.37881i | ||||
\(95\) | 3.62679 | − | 6.28179i | 0.372101 | − | 0.644498i | ||||
\(96\) | −7.22060 | + | 6.62291i | −0.736949 | + | 0.675948i | ||||
\(97\) | 9.19070 | + | 15.9188i | 0.933175 | + | 1.61631i | 0.777857 | + | 0.628441i | \(0.216307\pi\) |
0.155317 | + | 0.987865i | \(0.450360\pi\) | |||||||
\(98\) | 4.82116 | − | 8.51852i | 0.487011 | − | 0.860501i | ||||
\(99\) | 8.66374 | + | 4.01461i | 0.870739 | + | 0.403484i | ||||
\(100\) | 5.90102 | − | 3.54338i | 0.590102 | − | 0.354338i | ||||
\(101\) | −15.6211 | − | 4.18566i | −1.55436 | − | 0.416488i | −0.623485 | − | 0.781836i | \(-0.714284\pi\) |
−0.930871 | + | 0.365347i | \(0.880950\pi\) | |||||||
\(102\) | 5.92568 | + | 6.92320i | 0.586729 | + | 0.685499i | ||||
\(103\) | 0.0611378 | − | 0.105894i | 0.00602409 | − | 0.0104340i | −0.862998 | − | 0.505208i | \(-0.831416\pi\) |
0.869022 | + | 0.494774i | \(0.164749\pi\) | |||||||
\(104\) | −2.29651 | − | 7.76516i | −0.225191 | − | 0.761436i | ||||
\(105\) | 0.0521396 | − | 0.604333i | 0.00508830 | − | 0.0589769i | ||||
\(106\) | −12.0350 | + | 12.2434i | −1.16894 | + | 1.18918i | ||||
\(107\) | −5.97359 | − | 5.97359i | −0.577489 | − | 0.577489i | 0.356722 | − | 0.934211i | \(-0.383894\pi\) |
−0.934211 | + | 0.356722i | \(0.883894\pi\) | |||||||
\(108\) | 5.38201 | + | 8.89011i | 0.517884 | + | 0.855451i | ||||
\(109\) | −3.40913 | + | 3.40913i | −0.326536 | + | 0.326536i | −0.851268 | − | 0.524732i | \(-0.824166\pi\) |
0.524732 | + | 0.851268i | \(0.324166\pi\) | |||||||
\(110\) | −5.61908 | + | 0.0482307i | −0.535759 | + | 0.00459862i | ||||
\(111\) | −4.31868 | − | 0.372599i | −0.409911 | − | 0.0353655i | ||||
\(112\) | 0.594091 | + | 0.951960i | 0.0561363 | + | 0.0899517i | ||||
\(113\) | 1.91330 | + | 1.10464i | 0.179988 | + | 0.103916i | 0.587287 | − | 0.809379i | \(-0.300196\pi\) |
−0.407299 | + | 0.913295i | \(0.633529\pi\) | |||||||
\(114\) | 14.1899 | + | 1.10164i | 1.32901 | + | 0.103178i | ||||
\(115\) | 0.587966 | − | 2.19432i | 0.0548281 | − | 0.204621i | ||||
\(116\) | −1.92073 | + | 7.69422i | −0.178335 | + | 0.714391i | ||||
\(117\) | −8.55432 | + | 0.769157i | −0.790847 | + | 0.0711086i | ||||
\(118\) | 7.59820 | − | 2.10599i | 0.699471 | − | 0.193872i | ||||
\(119\) | 0.903842 | − | 0.521833i | 0.0828551 | − | 0.0478364i | ||||
\(120\) | −5.10244 | − | 3.37156i | −0.465787 | − | 0.307780i | ||||
\(121\) | 0.752719 | + | 0.434583i | 0.0684290 | + | 0.0395075i | ||||
\(122\) | −8.83287 | − | 2.28569i | −0.799690 | − | 0.206936i | ||||
\(123\) | −1.61596 | − | 9.10052i | −0.145706 | − | 0.820566i | ||||
\(124\) | −17.7941 | − | 9.87009i | −1.59795 | − | 0.886360i | ||||
\(125\) | 7.45164 | + | 7.45164i | 0.666495 | + | 0.666495i | ||||
\(126\) | 1.11388 | − | 0.419338i | 0.0992321 | − | 0.0373576i | ||||
\(127\) | 3.63934i | 0.322939i | 0.986878 | + | 0.161470i | \(0.0516234\pi\) | ||||
−0.986878 | + | 0.161470i | \(0.948377\pi\) | |||||||
\(128\) | 11.2933 | − | 0.679343i | 0.998196 | − | 0.0600460i | ||||
\(129\) | −11.1989 | + | 5.23856i | −0.986010 | + | 0.461229i | ||||
\(130\) | 4.35541 | − | 2.56469i | 0.381995 | − | 0.224938i | ||||
\(131\) | −4.01630 | − | 14.9890i | −0.350906 | − | 1.30960i | −0.885559 | − | 0.464527i | \(-0.846224\pi\) |
0.534653 | − | 0.845072i | \(-0.320442\pi\) | |||||||
\(132\) | −4.84251 | − | 9.90556i | −0.421486 | − | 0.862168i | ||||
\(133\) | 0.421878 | − | 1.57447i | 0.0365815 | − | 0.136524i | ||||
\(134\) | 5.29994 | − | 1.46899i | 0.457845 | − | 0.126901i | ||||
\(135\) | −4.57022 | + | 4.60334i | −0.393342 | + | 0.396192i | ||||
\(136\) | −0.270922 | − | 10.5191i | −0.0232314 | − | 0.902009i | ||||
\(137\) | −10.4065 | − | 18.0245i | −0.889085 | − | 1.53994i | −0.840959 | − | 0.541099i | \(-0.818008\pi\) |
−0.0481263 | − | 0.998841i | \(-0.515325\pi\) | |||||||
\(138\) | 4.38196 | − | 0.816953i | 0.373017 | − | 0.0695437i | ||||
\(139\) | −0.214907 | − | 0.802043i | −0.0182282 | − | 0.0680284i | 0.956213 | − | 0.292673i | \(-0.0945446\pi\) |
−0.974441 | + | 0.224644i | \(0.927878\pi\) | |||||||
\(140\) | −0.486695 | + | 0.503698i | −0.0411332 | + | 0.0425702i | ||||
\(141\) | −17.8621 | − | 6.47693i | −1.50426 | − | 0.545456i | ||||
\(142\) | −0.129646 | − | 15.1044i | −0.0108797 | − | 1.26753i | ||||
\(143\) | 9.11246 | 0.762022 | ||||||||
\(144\) | 1.64829 | − | 11.8863i | 0.137358 | − | 0.990521i | ||||
\(145\) | −4.95000 | −0.411076 | ||||||||
\(146\) | 0.112937 | + | 13.1576i | 0.00934672 | + | 1.08893i | ||||
\(147\) | 2.09591 | + | 11.8034i | 0.172868 | + | 0.973529i | ||||
\(148\) | 3.59952 | + | 3.47801i | 0.295879 | + | 0.285891i | ||||
\(149\) | 1.37640 | + | 5.13681i | 0.112759 | + | 0.420824i | 0.999110 | − | 0.0421919i | \(-0.0134341\pi\) |
−0.886350 | + | 0.463015i | \(0.846767\pi\) | |||||||
\(150\) | −2.80560 | + | 7.94953i | −0.229076 | + | 0.649076i | ||||
\(151\) | −1.53487 | − | 2.65847i | −0.124906 | − | 0.216343i | 0.796790 | − | 0.604256i | \(-0.206529\pi\) |
−0.921696 | + | 0.387913i | \(0.873196\pi\) | |||||||
\(152\) | −11.9162 | − | 11.3178i | −0.966533 | − | 0.917996i | ||||
\(153\) | −10.9960 | − | 1.91162i | −0.888975 | − | 0.154545i | ||||
\(154\) | −1.21688 | + | 0.337283i | −0.0980590 | + | 0.0271790i | ||||
\(155\) | 3.28727 | − | 12.2683i | 0.264040 | − | 0.985410i | ||||
\(156\) | 8.22708 | + | 5.53827i | 0.658694 | + | 0.443417i | ||||
\(157\) | 1.51093 | + | 5.63885i | 0.120585 | + | 0.450029i | 0.999644 | − | 0.0266838i | \(-0.00849471\pi\) |
−0.879059 | + | 0.476713i | \(0.841828\pi\) | |||||||
\(158\) | −12.2562 | + | 7.21706i | −0.975048 | + | 0.574159i | ||||
\(159\) | 1.80737 | − | 20.9487i | 0.143334 | − | 1.66134i | ||||
\(160\) | 2.11871 | + | 6.73653i | 0.167499 | + | 0.532570i | ||||
\(161\) | − | 0.510499i | − | 0.0402329i | ||||||
\(162\) | −12.0176 | − | 4.19259i | −0.944190 | − | 0.329401i | ||||
\(163\) | −12.5565 | − | 12.5565i | −0.983500 | − | 0.983500i | 0.0163656 | − | 0.999866i | \(-0.494790\pi\) |
−0.999866 | + | 0.0163656i | \(0.994790\pi\) | |||||||
\(164\) | −5.17693 | + | 9.33311i | −0.404250 | + | 0.728794i | ||||
\(165\) | 5.26674 | − | 4.43013i | 0.410015 | − | 0.344885i | ||||
\(166\) | 3.11410 | + | 0.805837i | 0.241701 | + | 0.0625450i | ||||
\(167\) | 12.0834 | + | 6.97635i | 0.935041 | + | 0.539846i | 0.888402 | − | 0.459066i | \(-0.151816\pi\) |
0.0466388 | + | 0.998912i | \(0.485149\pi\) | |||||||
\(168\) | −1.30364 | − | 0.435071i | −0.100578 | − | 0.0335664i | ||||
\(169\) | 4.16000 | − | 2.40178i | 0.320000 | − | 0.184752i | ||||
\(170\) | 6.32945 | − | 1.75433i | 0.485447 | − | 0.134551i | ||||
\(171\) | −14.2548 | + | 10.0325i | −1.09009 | + | 0.767206i | ||||
\(172\) | 13.8512 | + | 3.45771i | 1.05614 | + | 0.263648i | ||||
\(173\) | −0.640380 | + | 2.38993i | −0.0486872 | + | 0.181703i | −0.985987 | − | 0.166820i | \(-0.946650\pi\) |
0.937300 | + | 0.348523i | \(0.113317\pi\) | |||||||
\(174\) | −4.19069 | − | 8.76205i | −0.317695 | − | 0.664249i | ||||
\(175\) | 0.836121 | + | 0.482735i | 0.0632048 | + | 0.0364913i | ||||
\(176\) | −2.87110 | + | 12.4036i | −0.216418 | + | 0.934959i | ||||
\(177\) | −5.52933 | + | 7.91696i | −0.415610 | + | 0.595075i | ||||
\(178\) | 2.65349 | − | 0.0227759i | 0.198888 | − | 0.00170713i | ||||
\(179\) | −9.53870 | + | 9.53870i | −0.712956 | + | 0.712956i | −0.967153 | − | 0.254197i | \(-0.918189\pi\) |
0.254197 | + | 0.967153i | \(0.418189\pi\) | |||||||
\(180\) | 7.44752 | − | 0.798732i | 0.555105 | − | 0.0595339i | ||||
\(181\) | −6.83874 | − | 6.83874i | −0.508320 | − | 0.508320i | 0.405691 | − | 0.914010i | \(-0.367031\pi\) |
−0.914010 | + | 0.405691i | \(0.867031\pi\) | |||||||
\(182\) | 0.796224 | − | 0.810011i | 0.0590201 | − | 0.0600420i | ||||
\(183\) | 10.1217 | − | 4.73466i | 0.748218 | − | 0.349996i | ||||
\(184\) | −4.52224 | − | 2.45790i | −0.333384 | − | 0.181199i | ||||
\(185\) | −1.56212 | + | 2.70567i | −0.114849 | + | 0.198925i | ||||
\(186\) | 24.4992 | − | 4.56752i | 1.79637 | − | 0.334907i | ||||
\(187\) | 11.4379 | + | 3.06477i | 0.836421 | + | 0.224118i | ||||
\(188\) | 11.2943 | + | 18.8090i | 0.823718 | + | 1.37179i | ||||
\(189\) | −0.724281 | + | 1.26502i | −0.0526837 | + | 0.0920164i | ||||
\(190\) | 5.05262 | − | 8.92748i | 0.366555 | − | 0.647668i | ||||
\(191\) | 7.08629 | + | 12.2738i | 0.512746 | + | 0.888102i | 0.999891 | + | 0.0147810i | \(0.00470512\pi\) |
−0.487145 | + | 0.873321i | \(0.661962\pi\) | |||||||
\(192\) | −10.1307 | + | 9.45352i | −0.731120 | + | 0.682249i | ||||
\(193\) | −6.47017 | + | 11.2067i | −0.465733 | + | 0.806673i | −0.999234 | − | 0.0391263i | \(-0.987543\pi\) |
0.533501 | + | 0.845799i | \(0.320876\pi\) | |||||||
\(194\) | 13.1904 | + | 22.4001i | 0.947013 | + | 1.60824i | ||||
\(195\) | −2.11023 | + | 5.81960i | −0.151117 | + | 0.416750i | ||||
\(196\) | 6.71450 | − | 12.1051i | 0.479607 | − | 0.864649i | ||||
\(197\) | 8.02294 | − | 8.02294i | 0.571611 | − | 0.571611i | −0.360968 | − | 0.932578i | \(-0.617553\pi\) |
0.932578 | + | 0.360968i | \(0.117553\pi\) | |||||||
\(198\) | 12.3007 | + | 5.57215i | 0.874170 | + | 0.395995i | ||||
\(199\) | 10.9199 | 0.774093 | 0.387046 | − | 0.922060i | \(-0.373495\pi\) | ||||
0.387046 | + | 0.922060i | \(0.373495\pi\) | |||||||
\(200\) | 8.30198 | − | 5.08255i | 0.587039 | − | 0.359390i | ||||
\(201\) | −3.85685 | + | 5.52229i | −0.272041 | + | 0.389512i | ||||
\(202\) | −22.1415 | − | 5.72958i | −1.55787 | − | 0.403132i | ||||
\(203\) | −1.07445 | + | 0.287899i | −0.0754119 | + | 0.0202066i | ||||
\(204\) | 8.46390 | + | 9.71860i | 0.592592 | + | 0.680438i | ||||
\(205\) | −6.43478 | − | 1.72420i | −0.449425 | − | 0.120423i | ||||
\(206\) | 0.0851733 | − | 0.150493i | 0.00593431 | − | 0.0104853i | ||||
\(207\) | −3.49907 | + | 4.19047i | −0.243202 | + | 0.291258i | ||||
\(208\) | −3.34189 | − | 10.9533i | −0.231718 | − | 0.759475i | ||||
\(209\) | 16.0163 | − | 9.24701i | 1.10787 | − | 0.639629i | ||||
\(210\) | 0.0663982 | − | 0.855258i | 0.00458191 | − | 0.0590184i | ||||
\(211\) | 16.3108 | − | 4.37047i | 1.12288 | − | 0.300875i | 0.350833 | − | 0.936438i | \(-0.385899\pi\) |
0.772049 | + | 0.635563i | \(0.219232\pi\) | |||||||
\(212\) | −16.8708 | + | 17.4602i | −1.15869 | + | 1.19917i | ||||
\(213\) | 11.9084 | + | 14.1573i | 0.815951 | + | 0.970039i | ||||
\(214\) | −8.52014 | − | 8.37512i | −0.582425 | − | 0.572511i | ||||
\(215\) | 8.91103i | 0.607727i | ||||||||
\(216\) | 7.71894 | + | 12.5067i | 0.525207 | + | 0.850974i | ||||
\(217\) | − | 2.85415i | − | 0.193753i | ||||||
\(218\) | −4.77969 | + | 4.86245i | −0.323721 | + | 0.329327i | ||||
\(219\) | −10.3736 | − | 12.3326i | −0.700982 | − | 0.833359i | ||||
\(220\) | −7.94571 | + | 0.136412i | −0.535699 | + | 0.00919689i | ||||
\(221\) | −10.2881 | + | 2.75669i | −0.692054 | + | 0.185435i | ||||
\(222\) | −6.11183 | − | 0.474494i | −0.410199 | − | 0.0318460i | ||||
\(223\) | 12.3586 | − | 7.13522i | 0.827591 | − | 0.477810i | −0.0254364 | − | 0.999676i | \(-0.508098\pi\) |
0.853027 | + | 0.521867i | \(0.174764\pi\) | |||||||
\(224\) | 0.851696 | + | 1.33901i | 0.0569063 | + | 0.0894666i | ||||
\(225\) | −3.55460 | − | 9.69352i | −0.236973 | − | 0.646235i | ||||
\(226\) | 2.71912 | + | 1.53892i | 0.180873 | + | 0.102367i | ||||
\(227\) | −8.50557 | − | 2.27906i | −0.564535 | − | 0.151267i | −0.0347459 | − | 0.999396i | \(-0.511062\pi\) |
−0.529789 | + | 0.848130i | \(0.677729\pi\) | |||||||
\(228\) | 20.0802 | + | 1.38565i | 1.32984 | + | 0.0917671i | ||||
\(229\) | 24.0786 | − | 6.45185i | 1.59116 | − | 0.426350i | 0.648803 | − | 0.760957i | \(-0.275270\pi\) |
0.942358 | + | 0.334606i | \(0.108603\pi\) | |||||||
\(230\) | 0.804844 | − | 3.11026i | 0.0530698 | − | 0.205084i | ||||
\(231\) | 0.885543 | − | 1.26793i | 0.0582644 | − | 0.0834237i | ||||
\(232\) | −2.62283 | + | 10.9042i | −0.172197 | + | 0.715895i | ||||
\(233\) | 6.51295 | 0.426678 | 0.213339 | − | 0.976978i | \(-0.431566\pi\) | ||||
0.213339 | + | 0.976978i | \(0.431566\pi\) | |||||||
\(234\) | −12.0879 | + | 1.19155i | −0.790208 | + | 0.0778939i | ||||
\(235\) | −9.68332 | + | 9.68332i | −0.631670 | + | 0.631670i | ||||
\(236\) | 10.7195 | − | 3.07044i | 0.697781 | − | 0.199869i | ||||
\(237\) | 5.93822 | − | 16.3764i | 0.385729 | − | 1.06376i | ||||
\(238\) | 1.27184 | − | 0.748928i | 0.0824414 | − | 0.0485458i | ||||
\(239\) | 2.36907 | − | 4.10336i | 0.153243 | − | 0.265424i | −0.779175 | − | 0.626806i | \(-0.784362\pi\) |
0.932418 | + | 0.361382i | \(0.117695\pi\) | |||||||
\(240\) | −7.25660 | − | 4.70600i | −0.468412 | − | 0.303771i | ||||
\(241\) | 7.43805 | + | 12.8831i | 0.479127 | + | 0.829872i | 0.999713 | − | 0.0239367i | \(-0.00762000\pi\) |
−0.520586 | + | 0.853809i | \(0.674287\pi\) | |||||||
\(242\) | 1.06974 | + | 0.605434i | 0.0687656 | + | 0.0389187i | ||||
\(243\) | 14.6160 | − | 5.41961i | 0.937618 | − | 0.347668i | ||||
\(244\) | −12.5188 | − | 3.12512i | −0.801437 | − | 0.200065i | ||||
\(245\) | 8.34594 | + | 2.23629i | 0.533203 | + | 0.142871i | ||||
\(246\) | −2.39569 | − | 12.8500i | −0.152744 | − | 0.819285i | ||||
\(247\) | −8.31748 | + | 14.4063i | −0.529228 | + | 0.916650i | ||||
\(248\) | −25.2835 | − | 13.7419i | −1.60550 | − | 0.872612i | ||||
\(249\) | −3.56848 | + | 1.66924i | −0.226143 | + | 0.105784i | ||||
\(250\) | 10.6283 | + | 10.4474i | 0.672191 | + | 0.660750i | ||||
\(251\) | −6.89508 | − | 6.89508i | −0.435213 | − | 0.435213i | 0.455184 | − | 0.890397i | \(-0.349573\pi\) |
−0.890397 | + | 0.455184i | \(0.849573\pi\) | |||||||
\(252\) | 1.57011 | − | 0.606532i | 0.0989078 | − | 0.0382079i | ||||
\(253\) | 4.09562 | − | 4.09562i | 0.257489 | − | 0.257489i | ||||
\(254\) | 0.0441753 | + | 5.14661i | 0.00277180 | + | 0.322927i | ||||
\(255\) | −4.60604 | + | 6.59499i | −0.288442 | + | 0.412994i | ||||
\(256\) | 15.9623 | − | 1.09778i | 0.997643 | − | 0.0686113i | ||||
\(257\) | 2.17437 | + | 1.25537i | 0.135633 | + | 0.0783080i | 0.566281 | − | 0.824212i | \(-0.308382\pi\) |
−0.430648 | + | 0.902520i | \(0.641715\pi\) | |||||||
\(258\) | −15.7735 | + | 7.54410i | −0.982015 | + | 0.469675i | ||||
\(259\) | −0.181710 | + | 0.678152i | −0.0112909 | + | 0.0421383i | ||||
\(260\) | 6.12812 | − | 3.67975i | 0.380050 | − | 0.228209i | ||||
\(261\) | 10.7931 | + | 5.00130i | 0.668074 | + | 0.309572i | ||||
\(262\) | −5.86164 | − | 21.1482i | −0.362133 | − | 1.30654i | ||||
\(263\) | −3.14718 | + | 1.81703i | −0.194064 | + | 0.112043i | −0.593884 | − | 0.804551i | \(-0.702406\pi\) |
0.399820 | + | 0.916594i | \(0.369073\pi\) | |||||||
\(264\) | −6.96832 | − | 13.9493i | −0.428871 | − | 0.858519i | ||||
\(265\) | −13.1244 | − | 7.57740i | −0.806228 | − | 0.465476i | ||||
\(266\) | 0.577493 | − | 2.23168i | 0.0354084 | − | 0.136833i | ||||
\(267\) | −2.48711 | + | 2.09204i | −0.152209 | + | 0.128031i | ||||
\(268\) | 7.47714 | − | 2.14171i | 0.456739 | − | 0.130826i | ||||
\(269\) | 12.3633 | + | 12.3633i | 0.753802 | + | 0.753802i | 0.975187 | − | 0.221384i | \(-0.0710575\pi\) |
−0.221384 | + | 0.975187i | \(0.571058\pi\) | |||||||
\(270\) | −6.40715 | + | 6.56534i | −0.389927 | + | 0.399554i | ||||
\(271\) | 27.2658i | 1.65628i | 0.560523 | + | 0.828139i | \(0.310600\pi\) | ||||
−0.560523 | + | 0.828139i | \(0.689400\pi\) | |||||||
\(272\) | −0.510812 | − | 14.8725i | −0.0309726 | − | 0.901777i | ||||
\(273\) | −0.119574 | + | 1.38594i | −0.00723694 | + | 0.0838811i | ||||
\(274\) | −14.9352 | − | 25.3633i | −0.902270 | − | 1.53225i | ||||
\(275\) | 2.83514 | + | 10.5809i | 0.170966 | + | 0.638053i | ||||
\(276\) | 6.18688 | − | 1.20849i | 0.372406 | − | 0.0727427i | ||||
\(277\) | 4.47587 | − | 16.7042i | 0.268929 | − | 1.00366i | −0.690872 | − | 0.722977i | \(-0.742773\pi\) |
0.959801 | − | 0.280680i | \(-0.0905601\pi\) | |||||||
\(278\) | −0.313648 | − | 1.13161i | −0.0188114 | − | 0.0678694i | ||||
\(279\) | −19.5630 | + | 23.4285i | −1.17121 | + | 1.40263i | ||||
\(280\) | −0.682151 | + | 0.718217i | −0.0407663 | + | 0.0429217i | ||||
\(281\) | 7.04702 | + | 12.2058i | 0.420390 | + | 0.728137i | 0.995978 | − | 0.0896034i | \(-0.0285600\pi\) |
−0.575588 | + | 0.817740i | \(0.695227\pi\) | |||||||
\(282\) | −25.3385 | − | 8.94261i | −1.50888 | − | 0.532525i | ||||
\(283\) | −0.168478 | − | 0.628767i | −0.0100149 | − | 0.0373763i | 0.960738 | − | 0.277459i | \(-0.0894922\pi\) |
−0.970753 | + | 0.240082i | \(0.922826\pi\) | |||||||
\(284\) | −0.366682 | − | 21.3584i | −0.0217586 | − | 1.26739i | ||||
\(285\) | 2.19653 | + | 12.3701i | 0.130111 | + | 0.732740i | ||||
\(286\) | 12.8865 | − | 0.110609i | 0.761994 | − | 0.00654048i | ||||
\(287\) | −1.49702 | −0.0883665 | ||||||||
\(288\) | 2.18668 | − | 16.8291i | 0.128851 | − | 0.991664i | ||||
\(289\) | 3.15927 | 0.185839 | ||||||||
\(290\) | −7.00011 | + | 0.0600845i | −0.411060 | + | 0.00352828i | ||||
\(291\) | −29.9306 | − | 10.8531i | −1.75456 | − | 0.636218i | ||||
\(292\) | 0.319422 | + | 18.6056i | 0.0186927 | + | 1.08881i | ||||
\(293\) | −2.16816 | − | 8.09169i | −0.126665 | − | 0.472722i | 0.873228 | − | 0.487312i | \(-0.162022\pi\) |
−0.999894 | + | 0.0145900i | \(0.995356\pi\) | |||||||
\(294\) | 3.10723 | + | 16.6665i | 0.181217 | + | 0.972009i | ||||
\(295\) | 3.48002 | + | 6.02757i | 0.202615 | + | 0.350939i | ||||
\(296\) | 5.13252 | + | 4.87478i | 0.298322 | + | 0.283341i | ||||
\(297\) | −15.9597 | + | 4.33821i | −0.926077 | + | 0.251728i | ||||
\(298\) | 2.00881 | + | 7.24757i | 0.116367 | + | 0.419840i | ||||
\(299\) | −1.34841 | + | 5.03233i | −0.0779804 | + | 0.291027i | ||||
\(300\) | −3.87107 | + | 11.2760i | −0.223496 | + | 0.651018i | ||||
\(301\) | 0.518278 | + | 1.93424i | 0.0298730 | + | 0.111488i | ||||
\(302\) | −2.20282 | − | 3.74087i | −0.126758 | − | 0.215263i | ||||
\(303\) | 25.3723 | − | 11.8685i | 1.45760 | − | 0.681827i | ||||
\(304\) | −16.9888 | − | 15.8606i | −0.974376 | − | 0.909667i | ||||
\(305\) | − | 8.05388i | − | 0.461164i | ||||||
\(306\) | −15.5733 | − | 2.56986i | −0.890269 | − | 0.146909i | ||||
\(307\) | 10.1250 | + | 10.1250i | 0.577865 | + | 0.577865i | 0.934315 | − | 0.356449i | \(-0.116013\pi\) |
−0.356449 | + | 0.934315i | \(0.616013\pi\) | |||||||
\(308\) | −1.71677 | + | 0.491743i | −0.0978221 | + | 0.0280197i | ||||
\(309\) | 0.0370275 | + | 0.208526i | 0.00210642 | + | 0.0118626i | ||||
\(310\) | 4.49981 | − | 17.3892i | 0.255572 | − | 0.987640i | ||||
\(311\) | −13.7848 | − | 7.95868i | −0.781667 | − | 0.451295i | 0.0553539 | − | 0.998467i | \(-0.482371\pi\) |
−0.837021 | + | 0.547171i | \(0.815705\pi\) | |||||||
\(312\) | 11.7016 | + | 7.73215i | 0.662475 | + | 0.437747i | ||||
\(313\) | 9.90266 | − | 5.71730i | 0.559732 | − | 0.323161i | −0.193306 | − | 0.981138i | \(-0.561921\pi\) |
0.753038 | + | 0.657977i | \(0.228588\pi\) | |||||||
\(314\) | 2.20514 | + | 7.95591i | 0.124443 | + | 0.448978i | ||||
\(315\) | 0.604683 | + | 0.859168i | 0.0340700 | + | 0.0484086i | ||||
\(316\) | −17.2446 | + | 10.3549i | −0.970084 | + | 0.582507i | ||||
\(317\) | 7.06533 | − | 26.3682i | 0.396828 | − | 1.48098i | −0.421815 | − | 0.906682i | \(-0.638607\pi\) |
0.818644 | − | 0.574302i | \(-0.194726\pi\) | |||||||
\(318\) | 2.30163 | − | 29.6467i | 0.129069 | − | 1.66251i | ||||
\(319\) | −10.9299 | − | 6.31036i | −0.611955 | − | 0.353313i | ||||
\(320\) | 3.07797 | + | 9.50083i | 0.172064 | + | 0.531112i | ||||
\(321\) | 14.5781 | + | 1.25774i | 0.813670 | + | 0.0702004i | ||||
\(322\) | −0.00619657 | − | 0.721927i | −0.000345321 | − | 0.0402314i | ||||
\(323\) | −15.2853 | + | 15.2853i | −0.850495 | + | 0.850495i | ||||
\(324\) | −17.0457 | − | 5.78313i | −0.946983 | − | 0.321285i | ||||
\(325\) | −6.96714 | − | 6.96714i | −0.386467 | − | 0.386467i | ||||
\(326\) | −17.9093 | − | 17.6045i | −0.991906 | − | 0.975023i | ||||
\(327\) | 0.717795 | − | 8.31973i | 0.0396941 | − | 0.460082i | ||||
\(328\) | −7.20773 | + | 13.2614i | −0.397980 | + | 0.732237i | ||||
\(329\) | −1.53868 | + | 2.66507i | −0.0848301 | + | 0.146930i | ||||
\(330\) | 7.39425 | − | 6.32885i | 0.407040 | − | 0.348392i | ||||
\(331\) | −11.1026 | − | 2.97493i | −0.610254 | − | 0.163517i | −0.0595605 | − | 0.998225i | \(-0.518970\pi\) |
−0.550693 | + | 0.834708i | \(0.685637\pi\) | |||||||
\(332\) | 4.41362 | + | 1.10178i | 0.242229 | + | 0.0604682i | ||||
\(333\) | 6.13978 | − | 4.32118i | 0.336458 | − | 0.236799i | ||||
\(334\) | 17.1726 | + | 9.71902i | 0.939640 | + | 0.531801i | ||||
\(335\) | 2.42740 | + | 4.20439i | 0.132623 | + | 0.229710i | ||||
\(336\) | −1.84883 | − | 0.599436i | −0.100862 | − | 0.0327019i | ||||
\(337\) | 4.37194 | − | 7.57242i | 0.238155 | − | 0.412496i | −0.722030 | − | 0.691862i | \(-0.756791\pi\) |
0.960185 | + | 0.279366i | \(0.0901242\pi\) | |||||||
\(338\) | 5.85376 | − | 3.44699i | 0.318402 | − | 0.187492i | ||||
\(339\) | −3.76766 | + | 0.669016i | −0.204631 | + | 0.0363360i | ||||
\(340\) | 8.92957 | − | 2.55774i | 0.484274 | − | 0.138713i | ||||
\(341\) | 22.8983 | − | 22.8983i | 1.24001 | − | 1.24001i | ||||
\(342\) | −20.0368 | + | 14.3606i | −1.08347 | + | 0.776534i | ||||
\(343\) | 3.90537 | 0.210870 | ||||||||
\(344\) | 19.6298 | + | 4.72163i | 1.05837 | + | 0.254573i | ||||
\(345\) | 1.66719 | + | 3.56409i | 0.0897583 | + | 0.191884i | ||||
\(346\) | −0.876591 | + | 3.38752i | −0.0471258 | + | 0.182114i | ||||
\(347\) | 3.10690 | − | 0.832493i | 0.166787 | − | 0.0446905i | −0.174459 | − | 0.984664i | \(-0.555818\pi\) |
0.341246 | + | 0.939974i | \(0.389151\pi\) | |||||||
\(348\) | −6.03267 | − | 12.3401i | −0.323385 | − | 0.661498i | ||||
\(349\) | −32.0100 | − | 8.57705i | −1.71346 | − | 0.459119i | −0.737188 | − | 0.675687i | \(-0.763847\pi\) |
−0.976268 | + | 0.216568i | \(0.930514\pi\) | |||||||
\(350\) | 1.18827 | + | 0.672516i | 0.0635157 | + | 0.0359475i | ||||
\(351\) | 10.4811 | − | 10.5570i | 0.559439 | − | 0.563493i | ||||
\(352\) | −3.90965 | + | 17.5756i | −0.208385 | + | 0.936782i | ||||
\(353\) | −7.18886 | + | 4.15049i | −0.382624 | + | 0.220908i | −0.678959 | − | 0.734176i | \(-0.737569\pi\) |
0.296335 | + | 0.955084i | \(0.404235\pi\) | |||||||
\(354\) | −7.72326 | + | 11.2630i | −0.410487 | + | 0.598620i | ||||
\(355\) | 12.8793 | − | 3.45099i | 0.683561 | − | 0.183160i | ||||
\(356\) | 3.75219 | − | 0.0644177i | 0.198866 | − | 0.00341413i | ||||
\(357\) | −0.616220 | + | 1.69941i | −0.0326138 | + | 0.0899423i | ||||
\(358\) | −13.3735 | + | 13.6050i | −0.706810 | + | 0.719049i | ||||
\(359\) | 17.1616i | 0.905754i | 0.891573 | + | 0.452877i | \(0.149602\pi\) | ||||
−0.891573 | + | 0.452877i | \(0.850398\pi\) | |||||||
\(360\) | 10.5223 | − | 1.21994i | 0.554574 | − | 0.0642962i | ||||
\(361\) | 14.7612i | 0.776903i | ||||||||
\(362\) | −9.75410 | − | 9.58808i | −0.512664 | − | 0.503938i | ||||
\(363\) | −1.48225 | + | 0.263201i | −0.0777981 | + | 0.0138145i | ||||
\(364\) | 1.11616 | − | 1.15515i | 0.0585025 | − | 0.0605464i | ||||
\(365\) | −11.2193 | + | 3.00621i | −0.587246 | + | 0.157352i | ||||
\(366\) | 14.2562 | − | 6.81844i | 0.745186 | − | 0.356406i | ||||
\(367\) | 1.27977 | − | 0.738875i | 0.0668034 | − | 0.0385690i | −0.466226 | − | 0.884666i | \(-0.654387\pi\) |
0.533030 | + | 0.846097i | \(0.321053\pi\) | |||||||
\(368\) | −6.42502 | − | 3.42097i | −0.334927 | − | 0.178331i | ||||
\(369\) | 12.2884 | + | 10.2609i | 0.639710 | + | 0.534162i | ||||
\(370\) | −2.17625 | + | 3.84522i | −0.113138 | + | 0.199903i | ||||
\(371\) | −3.28952 | − | 0.881424i | −0.170783 | − | 0.0457612i | ||||
\(372\) | 34.5903 | − | 6.75658i | 1.79343 | − | 0.350313i | ||||
\(373\) | −31.6496 | + | 8.48049i | −1.63876 | + | 0.439103i | −0.956434 | − | 0.291948i | \(-0.905696\pi\) |
−0.682322 | + | 0.731052i | \(0.739030\pi\) | |||||||
\(374\) | 16.2122 | + | 4.19525i | 0.838314 | + | 0.216931i | ||||
\(375\) | −18.1852 | − | 1.56895i | −0.939078 | − | 0.0810200i | ||||
\(376\) | 16.2002 | + | 26.4619i | 0.835462 | + | 1.36467i | ||||
\(377\) | 11.3521 | 0.584661 | ||||||||
\(378\) | −1.00890 | + | 1.79773i | −0.0518920 | + | 0.0924652i | ||||
\(379\) | 19.2548 | − | 19.2548i | 0.989053 | − | 0.989053i | −0.0108880 | − | 0.999941i | \(-0.503466\pi\) |
0.999941 | + | 0.0108880i | \(0.00346583\pi\) | |||||||
\(380\) | 7.03685 | − | 12.6862i | 0.360983 | − | 0.650790i | ||||
\(381\) | −4.05763 | − | 4.82390i | −0.207879 | − | 0.247136i | ||||
\(382\) | 10.1701 | + | 17.2711i | 0.520350 | + | 0.883669i | ||||
\(383\) | 3.99635 | − | 6.92189i | 0.204204 | − | 0.353692i | −0.745675 | − | 0.666310i | \(-0.767873\pi\) |
0.949879 | + | 0.312618i | \(0.101206\pi\) | |||||||
\(384\) | −14.2117 | + | 13.4918i | −0.725237 | + | 0.688499i | ||||
\(385\) | −0.557338 | − | 0.965338i | −0.0284046 | − | 0.0491982i | ||||
\(386\) | −9.01383 | + | 15.9266i | −0.458792 | + | 0.810641i | ||||
\(387\) | 9.00336 | − | 19.4297i | 0.457667 | − | 0.987669i | ||||
\(388\) | 18.9252 | + | 31.5173i | 0.960782 | + | 1.60005i | ||||
\(389\) | −8.25574 | − | 2.21212i | −0.418583 | − | 0.112159i | 0.0433793 | − | 0.999059i | \(-0.486188\pi\) |
−0.461962 | + | 0.886900i | \(0.652854\pi\) | |||||||
\(390\) | −2.91357 | + | 8.25547i | −0.147534 | + | 0.418032i | ||||
\(391\) | −3.38502 | + | 5.86303i | −0.171188 | + | 0.296506i | ||||
\(392\) | 9.34845 | − | 17.2001i | 0.472168 | − | 0.868734i | ||||
\(393\) | 22.0354 | + | 15.3899i | 1.11154 | + | 0.776316i | ||||
\(394\) | 11.2483 | − | 11.4431i | 0.566684 | − | 0.576496i | ||||
\(395\) | −8.87792 | − | 8.87792i | −0.446697 | − | 0.446697i | ||||
\(396\) | 17.4628 | + | 7.73060i | 0.877536 | + | 0.388477i | ||||
\(397\) | 21.9949 | − | 21.9949i | 1.10389 | − | 1.10389i | 0.109957 | − | 0.993936i | \(-0.464929\pi\) |
0.993936 | − | 0.109957i | \(-0.0350713\pi\) | |||||||
\(398\) | 15.4425 | − | 0.132549i | 0.774064 | − | 0.00664408i | ||||
\(399\) | 1.19624 | + | 2.55731i | 0.0598870 | + | 0.128026i | ||||
\(400\) | 11.6786 | − | 7.28831i | 0.583932 | − | 0.364416i | ||||
\(401\) | −15.4215 | − | 8.90359i | −0.770111 | − | 0.444624i | 0.0628030 | − | 0.998026i | \(-0.479996\pi\) |
−0.832914 | + | 0.553402i | \(0.813329\pi\) | |||||||
\(402\) | −5.38718 | + | 7.85622i | −0.268688 | + | 0.391833i | ||||
\(403\) | −7.53883 | + | 28.1353i | −0.375536 | + | 1.40152i | ||||
\(404\) | −31.3813 | − | 7.83379i | −1.56128 | − | 0.389746i | ||||
\(405\) | 0.925337 | − | 11.1972i | 0.0459803 | − | 0.556392i | ||||
\(406\) | −1.51596 | + | 0.420178i | −0.0752357 | + | 0.0208531i | ||||
\(407\) | −6.89849 | + | 3.98284i | −0.341945 | + | 0.197422i | ||||
\(408\) | 12.0873 | + | 13.6409i | 0.598410 | + | 0.675327i | ||||
\(409\) | −21.0100 | − | 12.1301i | −1.03888 | − | 0.599797i | −0.119363 | − | 0.992851i | \(-0.538085\pi\) |
−0.919515 | + | 0.393054i | \(0.871419\pi\) | |||||||
\(410\) | −9.12075 | − | 2.36018i | −0.450442 | − | 0.116561i | ||||
\(411\) | 33.8899 | + | 12.2887i | 1.67166 | + | 0.606159i | ||||
\(412\) | 0.118622 | − | 0.213855i | 0.00584409 | − | 0.0105359i | ||||
\(413\) | 1.10595 | + | 1.10595i | 0.0544202 | + | 0.0544202i | ||||
\(414\) | −4.89738 | + | 5.96847i | −0.240693 | + | 0.293334i | ||||
\(415\) | 2.83946i | 0.139383i | ||||||||
\(416\) | −4.85893 | − | 15.4492i | −0.238228 | − | 0.757458i | ||||
\(417\) | 1.17908 | + | 0.823490i | 0.0577399 | + | 0.0403265i | ||||
\(418\) | 22.5374 | − | 13.2712i | 1.10234 | − | 0.649114i | ||||
\(419\) | 2.95796 | + | 11.0392i | 0.144506 | + | 0.539302i | 0.999777 | + | 0.0211217i | \(0.00672376\pi\) |
−0.855271 | + | 0.518180i | \(0.826610\pi\) | |||||||
\(420\) | 0.0835164 | − | 1.21028i | 0.00407518 | − | 0.0590555i | ||||
\(421\) | −4.47753 | + | 16.7104i | −0.218221 | + | 0.814413i | 0.766786 | + | 0.641903i | \(0.221855\pi\) |
−0.985008 | + | 0.172511i | \(0.944812\pi\) | |||||||
\(422\) | 23.0131 | − | 6.37853i | 1.12026 | − | 0.310502i | ||||
\(423\) | 30.8973 | − | 11.3300i | 1.50228 | − | 0.550883i | ||||
\(424\) | −23.6461 | + | 24.8964i | −1.14836 | + | 1.20907i | ||||
\(425\) | −6.40186 | − | 11.0883i | −0.310536 | − | 0.537864i | ||||
\(426\) | 17.0123 | + | 19.8761i | 0.824247 | + | 0.963000i | ||||
\(427\) | −0.468425 | − | 1.74819i | −0.0226687 | − | 0.0846006i | ||||
\(428\) | −12.1505 | − | 11.7403i | −0.587317 | − | 0.567491i | ||||
\(429\) | −12.0784 | + | 10.1598i | −0.583153 | + | 0.490520i | ||||
\(430\) | 0.108164 | + | 12.6016i | 0.00521616 | + | 0.607705i | ||||
\(431\) | −33.7821 | −1.62723 | −0.813613 | − | 0.581407i | \(-0.802502\pi\) | ||||
−0.813613 | + | 0.581407i | \(0.802502\pi\) | |||||||
\(432\) | 11.0676 | + | 17.5928i | 0.532492 | + | 0.846435i | ||||
\(433\) | −32.7436 | −1.57356 | −0.786779 | − | 0.617235i | \(-0.788253\pi\) | ||||
−0.786779 | + | 0.617235i | \(0.788253\pi\) | |||||||
\(434\) | −0.0346445 | − | 4.03624i | −0.00166299 | − | 0.193745i | ||||
\(435\) | 6.56117 | − | 5.51894i | 0.314584 | − | 0.264613i | ||||
\(436\) | −6.70023 | + | 6.93430i | −0.320883 | + | 0.332093i | ||||
\(437\) | 2.73664 | + | 10.2133i | 0.130911 | + | 0.488567i | ||||
\(438\) | −14.8196 | − | 17.3143i | −0.708109 | − | 0.827312i | ||||
\(439\) | −14.7258 | − | 25.5058i | −0.702824 | − | 1.21733i | −0.967471 | − | 0.252982i | \(-0.918589\pi\) |
0.264647 | − | 0.964345i | \(-0.414745\pi\) | |||||||
\(440\) | −11.2349 | + | 0.289356i | −0.535601 | + | 0.0137945i | ||||
\(441\) | −15.9382 | − | 13.3085i | −0.758960 | − | 0.633736i | ||||
\(442\) | −14.5156 | + | 4.02329i | −0.690437 | + | 0.191368i | ||||
\(443\) | −2.35908 | + | 8.80422i | −0.112083 | + | 0.418301i | −0.999052 | − | 0.0435282i | \(-0.986140\pi\) |
0.886969 | + | 0.461830i | \(0.152807\pi\) | |||||||
\(444\) | −8.64888 | − | 0.596824i | −0.410458 | − | 0.0283240i | ||||
\(445\) | 0.606260 | + | 2.26259i | 0.0287395 | + | 0.107257i | ||||
\(446\) | 17.3904 | − | 10.2404i | 0.823459 | − | 0.484895i | ||||
\(447\) | −7.55162 | − | 5.27417i | −0.357179 | − | 0.249460i | ||||
\(448\) | 1.22069 | + | 1.88324i | 0.0576721 | + | 0.0889749i | ||||
\(449\) | 2.79179i | 0.131753i | 0.997828 | + | 0.0658765i | \(0.0209843\pi\) | ||||
−0.997828 | + | 0.0658765i | \(0.979016\pi\) | |||||||
\(450\) | −5.14444 | − | 13.6651i | −0.242511 | − | 0.644177i | ||||
\(451\) | −12.0103 | − | 12.0103i | −0.565543 | − | 0.565543i | ||||
\(452\) | 3.86396 | + | 2.14328i | 0.181745 | + | 0.100811i | ||||
\(453\) | 4.99847 | + | 1.81248i | 0.234848 | + | 0.0851579i | ||||
\(454\) | −12.0559 | − | 3.11972i | −0.565812 | − | 0.146416i | ||||
\(455\) | 0.868300 | + | 0.501313i | 0.0407065 | + | 0.0235019i | ||||
\(456\) | 28.4134 | + | 1.71580i | 1.33058 | + | 0.0803496i | ||||
\(457\) | −1.90950 | + | 1.10245i | −0.0893226 | + | 0.0515704i | −0.543996 | − | 0.839088i | \(-0.683089\pi\) |
0.454673 | + | 0.890658i | \(0.349756\pi\) | |||||||
\(458\) | 33.9728 | − | 9.41623i | 1.58744 | − | 0.439992i | ||||
\(459\) | 16.7064 | − | 9.72604i | 0.779788 | − | 0.453972i | ||||
\(460\) | 1.10043 | − | 4.40818i | 0.0513076 | − | 0.205532i | ||||
\(461\) | −5.14058 | + | 19.1849i | −0.239421 | + | 0.893531i | 0.736685 | + | 0.676236i | \(0.236390\pi\) |
−0.976106 | + | 0.217295i | \(0.930277\pi\) | |||||||
\(462\) | 1.23691 | − | 1.80381i | 0.0575463 | − | 0.0839207i | ||||
\(463\) | 1.39347 | + | 0.804523i | 0.0647602 | + | 0.0373893i | 0.532031 | − | 0.846725i | \(-0.321429\pi\) |
−0.467270 | + | 0.884115i | \(0.654762\pi\) | |||||||
\(464\) | −3.57675 | + | 15.4521i | −0.166046 | + | 0.717347i | ||||
\(465\) | 9.32109 | + | 19.9265i | 0.432255 | + | 0.924070i | ||||
\(466\) | 9.21036 | − | 0.0790560i | 0.426662 | − | 0.00366220i | ||||
\(467\) | 9.94383 | − | 9.94383i | 0.460145 | − | 0.460145i | −0.438558 | − | 0.898703i | \(-0.644511\pi\) |
0.898703 | + | 0.438558i | \(0.144511\pi\) | |||||||
\(468\) | −17.0797 | + | 1.83177i | −0.789510 | + | 0.0846734i | ||||
\(469\) | 0.771428 | + | 0.771428i | 0.0356213 | + | 0.0356213i | ||||
\(470\) | −13.5762 | + | 13.8113i | −0.626225 | + | 0.637069i | ||||
\(471\) | −8.28968 | − | 5.78964i | −0.381968 | − | 0.266772i | ||||
\(472\) | 15.1219 | − | 4.47222i | 0.696040 | − | 0.205850i | ||||
\(473\) | −11.3600 | + | 19.6760i | −0.522331 | + | 0.904704i | ||||
\(474\) | 8.19882 | − | 23.2310i | 0.376584 | − | 1.06703i | ||||
\(475\) | −19.3156 | − | 5.17561i | −0.886262 | − | 0.237473i | ||||
\(476\) | 1.78950 | − | 1.07454i | 0.0820217 | − | 0.0492516i | ||||
\(477\) | 20.9608 | + | 29.7823i | 0.959729 | + | 1.36364i | ||||
\(478\) | 3.30045 | − | 5.83157i | 0.150959 | − | 0.266730i | ||||
\(479\) | −14.3867 | − | 24.9185i | −0.657346 | − | 1.13856i | −0.981300 | − | 0.192483i | \(-0.938346\pi\) |
0.323955 | − | 0.946073i | \(-0.394987\pi\) | |||||||
\(480\) | −10.3191 | − | 6.56696i | −0.471002 | − | 0.299739i | ||||
\(481\) | 3.58248 | − | 6.20504i | 0.163347 | − | 0.282925i | ||||
\(482\) | 10.6750 | + | 18.1285i | 0.486232 | + | 0.825729i | ||||
\(483\) | 0.569174 | + | 0.676659i | 0.0258983 | + | 0.0307891i | ||||
\(484\) | 1.52014 | + | 0.843196i | 0.0690971 | + | 0.0383271i | ||||
\(485\) | −16.2259 | + | 16.2259i | −0.736778 | + | 0.736778i | ||||
\(486\) | 20.6036 | − | 7.84162i | 0.934599 | − | 0.355703i | ||||
\(487\) | 43.0194 | 1.94939 | 0.974697 | − | 0.223530i | \(-0.0717581\pi\) | ||||
0.974697 | + | 0.223530i | \(0.0717581\pi\) | |||||||
\(488\) | −17.7416 | − | 4.26746i | −0.803125 | − | 0.193179i | ||||
\(489\) | 30.6432 | + | 2.64377i | 1.38573 | + | 0.119556i | ||||
\(490\) | 11.8297 | + | 3.06117i | 0.534409 | + | 0.138289i | ||||
\(491\) | 5.26076 | − | 1.40962i | 0.237415 | − | 0.0636152i | −0.138150 | − | 0.990411i | \(-0.544115\pi\) |
0.375565 | + | 0.926796i | \(0.377449\pi\) | |||||||
\(492\) | −3.54388 | − | 18.1429i | −0.159770 | − | 0.817944i | ||||
\(493\) | 14.2490 | + | 3.81801i | 0.641744 | + | 0.171955i | ||||
\(494\) | −11.5874 | + | 20.4738i | −0.521341 | + | 0.921159i | ||||
\(495\) | −2.04168 | + | 11.7442i | −0.0917667 | + | 0.527861i | ||||
\(496\) | −35.9217 | − | 19.1264i | −1.61293 | − | 0.858800i | ||||
\(497\) | 2.59488 | − | 1.49815i | 0.116396 | − | 0.0672013i | ||||
\(498\) | −5.02615 | + | 2.40389i | −0.225227 | + | 0.107721i | ||||
\(499\) | 17.2217 | − | 4.61454i | 0.770950 | − | 0.206575i | 0.148159 | − | 0.988964i | \(-0.452665\pi\) |
0.622791 | + | 0.782388i | \(0.285999\pi\) | |||||||
\(500\) | 15.1569 | + | 14.6453i | 0.677838 | + | 0.654956i | ||||
\(501\) | −23.7946 | + | 4.22516i | −1.06306 | + | 0.188766i | ||||
\(502\) | −9.83444 | − | 9.66706i | −0.438933 | − | 0.431462i | ||||
\(503\) | − | 0.254767i | − | 0.0113595i | −0.999984 | − | 0.00567974i | \(-0.998192\pi\) | ||
0.999984 | − | 0.00567974i | \(-0.00180793\pi\) | |||||||
\(504\) | 2.21303 | − | 0.876792i | 0.0985762 | − | 0.0390554i | ||||
\(505\) | − | 20.1888i | − | 0.898391i | ||||||
\(506\) | 5.74216 | − | 5.84158i | 0.255270 | − | 0.259690i | ||||
\(507\) | −2.83620 | + | 7.82166i | −0.125960 | + | 0.347372i | ||||
\(508\) | 0.124942 | + | 7.27760i | 0.00554340 | + | 0.322891i | ||||
\(509\) | 10.6256 | − | 2.84712i | 0.470971 | − | 0.126196i | −0.0155245 | − | 0.999879i | \(-0.504942\pi\) |
0.486495 | + | 0.873683i | \(0.338275\pi\) | |||||||
\(510\) | −6.43364 | + | 9.38229i | −0.284886 | + | 0.415455i | ||||
\(511\) | −2.26043 | + | 1.30506i | −0.0999956 | + | 0.0577325i | ||||
\(512\) | 22.5599 | − | 1.74619i | 0.997018 | − | 0.0771716i | ||||
\(513\) | 7.70890 | − | 29.1912i | 0.340356 | − | 1.28882i | ||||
\(514\) | 3.09015 | + | 1.74891i | 0.136301 | + | 0.0771410i | ||||
\(515\) | 0.147444 | + | 0.0395075i | 0.00649716 | + | 0.00174091i | ||||
\(516\) | −22.2147 | + | 10.8600i | −0.977948 | + | 0.478087i | ||||
\(517\) | −33.7258 | + | 9.03680i | −1.48326 | + | 0.397438i | ||||
\(518\) | −0.248736 | + | 0.961222i | −0.0109288 | + | 0.0422337i | ||||
\(519\) | −1.81581 | − | 3.88180i | −0.0797050 | − | 0.170392i | ||||
\(520\) | 8.62148 | − | 5.27815i | 0.378077 | − | 0.231462i | ||||
\(521\) | 8.17552 | 0.358176 | 0.179088 | − | 0.983833i | \(-0.442685\pi\) | ||||
0.179088 | + | 0.983833i | \(0.442685\pi\) | |||||||
\(522\) | 15.3238 | + | 6.94163i | 0.670706 | + | 0.303827i | ||||
\(523\) | −11.4305 | + | 11.4305i | −0.499820 | + | 0.499820i | −0.911382 | − | 0.411562i | \(-0.864983\pi\) |
0.411562 | + | 0.911382i | \(0.364983\pi\) | |||||||
\(524\) | −8.54601 | − | 29.8358i | −0.373334 | − | 1.30338i | ||||
\(525\) | −1.64649 | + | 0.292364i | −0.0718586 | + | 0.0127598i | ||||
\(526\) | −4.42857 | + | 2.60777i | −0.193095 | + | 0.113704i | ||||
\(527\) | −18.9254 | + | 32.7797i | −0.824403 | + | 1.42791i | ||||
\(528\) | −10.0237 | − | 19.6420i | −0.436224 | − | 0.854806i | ||||
\(529\) | −9.84425 | − | 17.0507i | −0.428011 | − | 0.741337i | ||||
\(530\) | −18.6521 | − | 10.5564i | −0.810193 | − | 0.458539i | ||||
\(531\) | −1.49786 | − | 16.6587i | −0.0650014 | − | 0.722925i | ||||
\(532\) | 0.789579 | − | 3.16296i | 0.0342326 | − | 0.137132i | ||||
\(533\) | 14.7572 | + | 3.95417i | 0.639204 | + | 0.171274i | ||||
\(534\) | −3.49178 | + | 2.98867i | −0.151104 | + | 0.129332i | ||||
\(535\) | 5.27308 | − | 9.13325i | 0.227975 | − | 0.394865i | ||||
\(536\) | 10.5479 | − | 3.11949i | 0.455599 | − | 0.134741i | ||||
\(537\) | 2.00838 | − | 23.2785i | 0.0866679 | − | 1.00454i | ||||
\(538\) | 17.6337 | + | 17.3336i | 0.760245 | + | 0.747305i | ||||
\(539\) | 15.5774 | + | 15.5774i | 0.670967 | + | 0.670967i | ||||
\(540\) | −8.98106 | + | 9.36222i | −0.386483 | + | 0.402886i | ||||
\(541\) | 9.93863 | − | 9.93863i | 0.427295 | − | 0.427295i | −0.460411 | − | 0.887706i | \(-0.652298\pi\) |
0.887706 | + | 0.460411i | \(0.152298\pi\) | |||||||
\(542\) | 0.330959 | + | 38.5582i | 0.0142159 | + | 1.65622i | ||||
\(543\) | 16.6894 | + | 1.43990i | 0.716212 | + | 0.0617920i | ||||
\(544\) | −0.902898 | − | 21.0259i | −0.0387114 | − | 0.901478i | ||||
\(545\) | −5.21235 | − | 3.00935i | −0.223273 | − | 0.128906i | ||||
\(546\) | −0.152274 | + | 1.96140i | −0.00651672 | + | 0.0839401i | ||||
\(547\) | −0.754938 | + | 2.81747i | −0.0322788 | + | 0.120466i | −0.980185 | − | 0.198082i | \(-0.936529\pi\) |
0.947907 | + | 0.318548i | \(0.103195\pi\) | |||||||
\(548\) | −21.4287 | − | 35.6865i | −0.915388 | − | 1.52445i | ||||
\(549\) | −8.13733 | + | 17.5608i | −0.347293 | + | 0.749476i | ||||
\(550\) | 4.13779 | + | 14.9287i | 0.176436 | + | 0.636562i | ||||
\(551\) | 19.9527 | − | 11.5197i | 0.850012 | − | 0.490755i | ||||
\(552\) | 8.73458 | − | 1.78410i | 0.371768 | − | 0.0759364i | ||||
\(553\) | −2.44341 | − | 1.41070i | −0.103904 | − | 0.0599891i | ||||
\(554\) | 6.12685 | − | 23.6767i | 0.260305 | − | 1.00593i | ||||
\(555\) | −0.946083 | − | 5.32800i | −0.0401590 | − | 0.226161i | ||||
\(556\) | −0.457285 | − | 1.59647i | −0.0193932 | − | 0.0677055i | ||||
\(557\) | −11.5964 | − | 11.5964i | −0.491356 | − | 0.491356i | 0.417377 | − | 0.908733i | \(-0.362949\pi\) |
−0.908733 | + | 0.417377i | \(0.862949\pi\) | |||||||
\(558\) | −27.3808 | + | 33.3692i | −1.15912 | + | 1.41263i | ||||
\(559\) | − | 20.4360i | − | 0.864352i | ||||||
\(560\) | −0.955953 | + | 1.02396i | −0.0403964 | + | 0.0432700i | ||||
\(561\) | −18.5778 | + | 8.69021i | −0.784356 | + | 0.366901i | ||||
\(562\) | 10.1138 | + | 17.1754i | 0.426624 | + | 0.724502i | ||||
\(563\) | −1.99011 | − | 7.42718i | −0.0838730 | − | 0.313018i | 0.911225 | − | 0.411908i | \(-0.135138\pi\) |
−0.995098 | + | 0.0988898i | \(0.968471\pi\) | |||||||
\(564\) | −35.9412 | − | 12.3387i | −1.51340 | − | 0.519554i | ||||
\(565\) | −0.713826 | + | 2.66403i | −0.0300309 | + | 0.112077i | ||||
\(566\) | −0.245887 | − | 0.887133i | −0.0103354 | − | 0.0372890i | ||||
\(567\) | −0.450388 | − | 2.48429i | −0.0189145 | − | 0.104330i | ||||
\(568\) | −0.777802 | − | 30.1998i | −0.0326359 | − | 1.26716i | ||||
\(569\) | 11.7897 | + | 20.4204i | 0.494250 | + | 0.856066i | 0.999978 | − | 0.00662697i | \(-0.00210945\pi\) |
−0.505728 | + | 0.862693i | \(0.668776\pi\) | |||||||
\(570\) | 3.25640 | + | 17.4666i | 0.136396 | + | 0.731596i | ||||
\(571\) | 1.99940 | + | 7.46185i | 0.0836722 | + | 0.312269i | 0.995059 | − | 0.0992811i | \(-0.0316543\pi\) |
−0.911387 | + | 0.411550i | \(0.864988\pi\) | |||||||
\(572\) | 18.2222 | − | 0.312839i | 0.761910 | − | 0.0130805i | ||||
\(573\) | −23.0773 | − | 8.36802i | −0.964069 | − | 0.349579i | ||||
\(574\) | −2.11703 | + | 0.0181713i | −0.0883633 | + | 0.000758455i | ||||
\(575\) | −6.26280 | −0.261177 | ||||||||
\(576\) | 2.88804 | − | 23.8256i | 0.120335 | − | 0.992733i | ||||
\(577\) | 16.4238 | 0.683733 | 0.341866 | − | 0.939749i | \(-0.388941\pi\) | ||||
0.341866 | + | 0.939749i | \(0.388941\pi\) | |||||||
\(578\) | 4.46771 | − | 0.0383481i | 0.185832 | − | 0.00159507i | ||||
\(579\) | −3.91859 | − | 22.0681i | −0.162851 | − | 0.917119i | ||||
\(580\) | −9.89855 | + | 0.169938i | −0.411015 | + | 0.00705631i | ||||
\(581\) | 0.165147 | + | 0.616336i | 0.00685144 | + | 0.0255699i | ||||
\(582\) | −42.4584 | − | 14.9847i | −1.75996 | − | 0.621135i | ||||
\(583\) | −19.3196 | − | 33.4626i | −0.800137 | − | 1.38588i | ||||
\(584\) | 0.677554 | + | 26.3075i | 0.0280374 | + | 1.08861i | ||||
\(585\) | −3.69140 | − | 10.0666i | −0.152621 | − | 0.416202i | ||||
\(586\) | −3.16435 | − | 11.4166i | −0.130718 | − | 0.471617i | ||||
\(587\) | −11.7964 | + | 44.0249i | −0.486891 | + | 1.81710i | 0.0844969 | + | 0.996424i | \(0.473072\pi\) |
−0.571388 | + | 0.820680i | \(0.693595\pi\) | |||||||
\(588\) | 4.59642 | + | 23.5314i | 0.189553 | + | 0.970418i | ||||
\(589\) | 15.3003 | + | 57.1015i | 0.630438 | + | 2.35283i | ||||
\(590\) | 4.99447 | + | 8.48171i | 0.205619 | + | 0.349187i | ||||
\(591\) | −1.68923 | + | 19.5794i | −0.0694858 | + | 0.805388i | ||||
\(592\) | 7.31738 | + | 6.83142i | 0.300742 | + | 0.280770i | ||||
\(593\) | 9.66931i | 0.397071i | 0.980094 | + | 0.198535i | \(0.0636185\pi\) | ||||
−0.980094 | + | 0.198535i | \(0.936382\pi\) | |||||||
\(594\) | −22.5170 | + | 6.32865i | −0.923882 | + | 0.259668i | ||||
\(595\) | 0.921278 | + | 0.921278i | 0.0377687 | + | 0.0377687i | ||||
\(596\) | 2.92875 | + | 10.2248i | 0.119966 | + | 0.418826i | ||||
\(597\) | −14.4742 | + | 12.1750i | −0.592390 | + | 0.498290i | ||||
\(598\) | −1.84578 | + | 7.13289i | −0.0754797 | + | 0.291686i | ||||
\(599\) | −8.99479 | − | 5.19314i | −0.367517 | − | 0.212186i | 0.304856 | − | 0.952398i | \(-0.401392\pi\) |
−0.672373 | + | 0.740212i | \(0.734725\pi\) | |||||||
\(600\) | −5.33745 | + | 15.9930i | −0.217901 | + | 0.652913i | ||||
\(601\) | 16.6353 | − | 9.60440i | 0.678569 | − | 0.391772i | −0.120747 | − | 0.992683i | \(-0.538529\pi\) |
0.799316 | + | 0.600912i | \(0.205196\pi\) | |||||||
\(602\) | 0.756407 | + | 2.72903i | 0.0308288 | + | 0.111227i | ||||
\(603\) | −1.04479 | − | 11.6199i | −0.0425473 | − | 0.473197i | ||||
\(604\) | −3.16055 | − | 5.26345i | −0.128601 | − | 0.214167i | ||||
\(605\) | −0.280829 | + | 1.04807i | −0.0114173 | + | 0.0426101i | ||||
\(606\) | 35.7365 | − | 17.0919i | 1.45169 | − | 0.694312i | ||||
\(607\) | 12.1261 | + | 7.00100i | 0.492183 | + | 0.284162i | 0.725480 | − | 0.688244i | \(-0.241618\pi\) |
−0.233297 | + | 0.972406i | \(0.574951\pi\) | |||||||
\(608\) | −24.2175 | − | 22.2232i | −0.982148 | − | 0.901270i | ||||
\(609\) | 1.10319 | − | 1.57955i | 0.0447033 | − | 0.0640068i | ||||
\(610\) | −0.0977602 | − | 11.3895i | −0.00395819 | − | 0.461147i | ||||
\(611\) | 22.2072 | − | 22.2072i | 0.898406 | − | 0.898406i | ||||
\(612\) | −22.0544 | − | 3.44517i | −0.891497 | − | 0.139263i | ||||
\(613\) | 17.8303 | + | 17.8303i | 0.720159 | + | 0.720159i | 0.968637 | − | 0.248478i | \(-0.0799304\pi\) |
−0.248478 | + | 0.968637i | \(0.579930\pi\) | |||||||
\(614\) | 14.4413 | + | 14.1955i | 0.582804 | + | 0.572884i | ||||
\(615\) | 10.4516 | − | 4.88898i | 0.421449 | − | 0.197143i | ||||
\(616\) | −2.42182 | + | 0.716243i | −0.0975780 | + | 0.0288582i | ||||
\(617\) | 24.3668 | − | 42.2045i | 0.980970 | − | 1.69909i | 0.322340 | − | 0.946624i | \(-0.395531\pi\) |
0.658630 | − | 0.752467i | \(-0.271136\pi\) | |||||||
\(618\) | 0.0548940 | + | 0.294439i | 0.00220816 | + | 0.0118441i | ||||
\(619\) | 11.1877 | + | 2.99775i | 0.449673 | + | 0.120490i | 0.476547 | − | 0.879149i | \(-0.341888\pi\) |
−0.0268731 | + | 0.999639i | \(0.508555\pi\) | |||||||
\(620\) | 6.15239 | − | 24.6457i | 0.247086 | − | 0.989797i | ||||
\(621\) | −0.0341372 | − | 9.45565i | −0.00136988 | − | 0.379442i | ||||
\(622\) | −19.5906 | − | 11.0875i | −0.785511 | − | 0.444570i | ||||
\(623\) | 0.263191 | + | 0.455861i | 0.0105445 | + | 0.0182637i | ||||
\(624\) | 16.6419 | + | 10.7925i | 0.666208 | + | 0.432045i | ||||
\(625\) | 2.02612 | − | 3.50934i | 0.0810447 | − | 0.140374i | ||||
\(626\) | 13.9346 | − | 8.20539i | 0.556937 | − | 0.327953i | ||||
\(627\) | −10.9196 | + | 30.1139i | −0.436085 | + | 1.20264i | ||||
\(628\) | 3.21499 | + | 11.2242i | 0.128292 | + | 0.447893i | ||||
\(629\) | 6.58363 | − | 6.58363i | 0.262506 | − | 0.262506i | ||||
\(630\) | 0.865548 | + | 1.20766i | 0.0344843 | + | 0.0481144i | ||||
\(631\) | 1.63509 | 0.0650918 | 0.0325459 | − | 0.999470i | \(-0.489638\pi\) | ||||
0.0325459 | + | 0.999470i | \(0.489638\pi\) | |||||||
\(632\) | −24.2610 | + | 14.8528i | −0.965049 | + | 0.590811i | ||||
\(633\) | −16.7470 | + | 23.9785i | −0.665632 | + | 0.953060i | ||||
\(634\) | 9.67145 | − | 37.3746i | 0.384102 | − | 1.48434i | ||||
\(635\) | −4.38844 | + | 1.17588i | −0.174150 | + | 0.0466633i | ||||
\(636\) | 2.89502 | − | 41.9532i | 0.114795 | − | 1.66355i | ||||
\(637\) | −19.1401 | − | 5.12858i | −0.758359 | − | 0.203202i | ||||
\(638\) | −15.5332 | − | 8.79120i | −0.614965 | − | 0.348047i | ||||
\(639\) | −31.5689 | − | 5.48814i | −1.24885 | − | 0.217107i | ||||
\(640\) | 4.46806 | + | 13.3983i | 0.176616 | + | 0.529616i | ||||
\(641\) | −33.5608 | + | 19.3763i | −1.32557 | + | 0.765319i | −0.984611 | − | 0.174759i | \(-0.944085\pi\) |
−0.340960 | + | 0.940078i | \(0.610752\pi\) | |||||||
\(642\) | 20.6311 | + | 1.60170i | 0.814243 | + | 0.0632140i | ||||
\(643\) | −19.5010 | + | 5.22528i | −0.769044 | + | 0.206065i | −0.621949 | − | 0.783058i | \(-0.713659\pi\) |
−0.147095 | + | 0.989122i | \(0.546992\pi\) | |||||||
\(644\) | −0.0175259 | − | 1.02085i | −0.000690617 | − | 0.0402270i | ||||
\(645\) | −9.93523 | − | 11.8115i | −0.391199 | − | 0.465076i | ||||
\(646\) | −21.4303 | + | 21.8014i | −0.843164 | + | 0.857764i | ||||
\(647\) | − | 28.2882i | − | 1.11212i | −0.831141 | − | 0.556062i | \(-0.812312\pi\) | ||
0.831141 | − | 0.556062i | \(-0.187688\pi\) | |||||||
\(648\) | −24.1756 | − | 7.97137i | −0.949705 | − | 0.313145i | ||||
\(649\) | 17.7456i | 0.696575i | ||||||||
\(650\) | −9.93722 | − | 9.76809i | −0.389770 | − | 0.383136i | ||||
\(651\) | 3.18220 | + | 3.78315i | 0.124720 | + | 0.148273i | ||||
\(652\) | −25.5404 | − | 24.6782i | −1.00024 | − | 0.966473i | ||||
\(653\) | 0.854532 | − | 0.228971i | 0.0334404 | − | 0.00896033i | −0.242060 | − | 0.970261i | \(-0.577823\pi\) |
0.275500 | + | 0.961301i | \(0.411156\pi\) | |||||||
\(654\) | 0.914091 | − | 11.7742i | 0.0357438 | − | 0.460406i | ||||
\(655\) | 16.7766 | − | 9.68599i | 0.655517 | − | 0.378463i | ||||
\(656\) | −10.0319 | + | 18.8412i | −0.391681 | + | 0.735625i | ||||
\(657\) | 27.5001 | + | 4.78079i | 1.07288 | + | 0.186517i | ||||
\(658\) | −2.14359 | + | 3.78752i | −0.0835659 | + | 0.147653i | ||||
\(659\) | 48.6567 | + | 13.0375i | 1.89539 | + | 0.507869i | 0.997742 | + | 0.0671656i | \(0.0213956\pi\) |
0.897653 | + | 0.440704i | \(0.145271\pi\) | |||||||
\(660\) | 10.3798 | − | 9.03977i | 0.404035 | − | 0.351873i | ||||
\(661\) | 26.7677 | − | 7.17239i | 1.04114 | − | 0.278974i | 0.302557 | − | 0.953131i | \(-0.402160\pi\) |
0.738587 | + | 0.674158i | \(0.235493\pi\) | |||||||
\(662\) | −15.7370 | − | 4.07227i | −0.611635 | − | 0.158273i | ||||
\(663\) | 10.5632 | − | 15.1246i | 0.410242 | − | 0.587390i | ||||
\(664\) | 6.25494 | + | 1.50453i | 0.242739 | + | 0.0583869i | ||||
\(665\) | 2.03486 | 0.0789086 | ||||||||
\(666\) | 8.63019 | − | 6.18537i | 0.334413 | − | 0.239678i | ||||
\(667\) | 5.10222 | − | 5.10222i | 0.197559 | − | 0.197559i | ||||
\(668\) | 24.4027 | + | 13.5358i | 0.944170 | + | 0.523716i | ||||
\(669\) | −8.42580 | + | 23.2367i | −0.325760 | + | 0.898381i | ||||
\(670\) | 3.48378 | + | 5.91622i | 0.134590 | + | 0.228564i | ||||
\(671\) | 10.2672 | − | 17.7834i | 0.396363 | − | 0.686520i | ||||
\(672\) | −2.62183 | − | 0.825258i | −0.101139 | − | 0.0318350i | ||||
\(673\) | −16.5237 | − | 28.6198i | −0.636941 | − | 1.10321i | −0.986100 | − | 0.166150i | \(-0.946866\pi\) |
0.349160 | − | 0.937063i | \(-0.386467\pi\) | |||||||
\(674\) | 6.09071 | − | 10.7617i | 0.234605 | − | 0.414525i | ||||
\(675\) | 15.5192 | + | 8.88549i | 0.597336 | + | 0.342003i | ||||
\(676\) | 8.23631 | − | 4.94566i | 0.316781 | − | 0.190218i | ||||
\(677\) | 10.0436 | + | 2.69118i | 0.386007 | + | 0.103430i | 0.446603 | − | 0.894732i | \(-0.352633\pi\) |
−0.0605961 | + | 0.998162i | \(0.519300\pi\) | |||||||
\(678\) | −5.31996 | + | 0.991830i | −0.204312 | + | 0.0380910i | ||||
\(679\) | −2.57829 | + | 4.46572i | −0.0989455 | + | 0.171379i | ||||
\(680\) | 12.5968 | − | 3.72545i | 0.483066 | − | 0.142864i | ||||
\(681\) | 13.8150 | − | 6.46231i | 0.529393 | − | 0.247636i | ||||
\(682\) | 32.1039 | − | 32.6598i | 1.22932 | − | 1.25061i | ||||
\(683\) | 9.18142 | + | 9.18142i | 0.351317 | + | 0.351317i | 0.860600 | − | 0.509282i | \(-0.170089\pi\) |
−0.509282 | + | 0.860600i | \(0.670089\pi\) | |||||||
\(684\) | −28.1609 | + | 20.5515i | −1.07676 | + | 0.785805i | ||||
\(685\) | 18.3723 | − | 18.3723i | 0.701968 | − | 0.701968i | ||||
\(686\) | 5.52282 | − | 0.0474044i | 0.210862 | − | 0.00180991i | ||||
\(687\) | −24.7225 | + | 35.3980i | −0.943223 | + | 1.35052i | ||||
\(688\) | 27.8170 | + | 6.43888i | 1.06051 | + | 0.245480i | ||||
\(689\) | 30.0988 | + | 17.3776i | 1.14667 | + | 0.662033i | ||||
\(690\) | 2.40093 | + | 5.01996i | 0.0914019 | + | 0.191107i | ||||
\(691\) | −6.53111 | + | 24.3744i | −0.248455 | + | 0.927247i | 0.723160 | + | 0.690680i | \(0.242689\pi\) |
−0.971615 | + | 0.236567i | \(0.923978\pi\) | |||||||
\(692\) | −1.19852 | + | 4.80114i | −0.0455610 | + | 0.182512i | ||||
\(693\) | 0.239887 | + | 2.66795i | 0.00911256 | + | 0.101347i | ||||
\(694\) | 4.38356 | − | 1.21499i | 0.166398 | − | 0.0461204i | ||||
\(695\) | 0.897694 | − | 0.518284i | 0.0340515 | − | 0.0196596i | ||||
\(696\) | −8.68095 | − | 17.3776i | −0.329051 | − | 0.658698i | ||||
\(697\) | 17.1932 | + | 9.92649i | 0.651239 | + | 0.375993i | ||||
\(698\) | −45.3714 | − | 11.7408i | −1.71733 | − | 0.444396i | ||||
\(699\) | −8.63283 | + | 7.26153i | −0.326524 | + | 0.274656i | ||||
\(700\) | 1.68857 | + | 0.936623i | 0.0638219 | + | 0.0354010i | ||||
\(701\) | −32.8695 | − | 32.8695i | −1.24146 | − | 1.24146i | −0.959394 | − | 0.282069i | \(-0.908979\pi\) |
−0.282069 | − | 0.959394i | \(-0.591021\pi\) | |||||||
\(702\) | 14.6938 | − | 15.0566i | 0.554582 | − | 0.568274i | ||||
\(703\) | − | 14.5415i | − | 0.548443i | ||||||
\(704\) | −5.31553 | + | 24.9022i | −0.200337 | + | 0.938536i | ||||
\(705\) | 2.03883 | − | 23.6314i | 0.0767867 | − | 0.890011i | ||||
\(706\) | −10.1158 | + | 5.95672i | −0.380714 | + | 0.224184i | ||||
\(707\) | −1.17421 | − | 4.38221i | −0.0441607 | − | 0.164810i | ||||
\(708\) | −10.7852 | + | 16.0214i | −0.405334 | + | 0.602121i | ||||
\(709\) | −11.0318 | + | 41.1714i | −0.414310 | + | 1.54622i | 0.371905 | + | 0.928271i | \(0.378705\pi\) |
−0.786215 | + | 0.617953i | \(0.787962\pi\) | |||||||
\(710\) | 18.1715 | − | 5.03659i | 0.681964 | − | 0.189020i | ||||
\(711\) | 10.3876 | + | 28.3275i | 0.389567 | + | 1.06236i | ||||
\(712\) | 5.30542 | − | 0.136642i | 0.198829 | − | 0.00512088i | ||||
\(713\) | 9.25715 | + | 16.0339i | 0.346683 | + | 0.600473i | ||||
\(714\) | −0.850806 | + | 2.41072i | −0.0318406 | + | 0.0902189i | ||||
\(715\) | 2.94426 | + | 10.9881i | 0.110109 | + | 0.410932i | ||||
\(716\) | −18.7471 | + | 19.4021i | −0.700613 | + | 0.725089i | ||||
\(717\) | 1.43481 | + | 8.08031i | 0.0535838 | + | 0.301765i | ||||
\(718\) | 0.208312 | + | 24.2693i | 0.00777414 | + | 0.905721i | ||||
\(719\) | 8.84226 | 0.329761 | 0.164880 | − | 0.986314i | \(-0.447276\pi\) | ||||
0.164880 | + | 0.986314i | \(0.447276\pi\) | |||||||
\(720\) | 14.8654 | − | 1.85291i | 0.554002 | − | 0.0690538i | ||||
\(721\) | 0.0343022 | 0.00127748 | ||||||||
\(722\) | 0.179175 | + | 20.8747i | 0.00666820 | + | 0.776875i | ||||
\(723\) | −24.2229 | − | 8.78340i | −0.900858 | − | 0.326658i | ||||
\(724\) | −13.9103 | − | 13.4407i | −0.516970 | − | 0.499519i | ||||
\(725\) | 3.53195 | + | 13.1814i | 0.131173 | + | 0.489545i | ||||
\(726\) | −2.09295 | + | 0.390200i | −0.0776766 | + | 0.0144817i | ||||
\(727\) | 11.4146 | + | 19.7707i | 0.423344 | + | 0.733254i | 0.996264 | − | 0.0863576i | \(-0.0275228\pi\) |
−0.572920 | + | 0.819611i | \(0.694189\pi\) | |||||||
\(728\) | 1.56441 | − | 1.64712i | 0.0579807 | − | 0.0610463i | ||||
\(729\) | −13.3308 | + | 23.4796i | −0.493734 | + | 0.869613i | ||||
\(730\) | −15.8294 | + | 4.38744i | −0.585873 | + | 0.162387i | ||||
\(731\) | 6.87321 | − | 25.6512i | 0.254215 | − | 0.948743i | ||||
\(732\) | 20.0779 | − | 9.81542i | 0.742100 | − | 0.362788i | ||||
\(733\) | 7.73423 | + | 28.8645i | 0.285670 | + | 1.06614i | 0.948348 | + | 0.317232i | \(0.102753\pi\) |
−0.662678 | + | 0.748905i | \(0.730580\pi\) | |||||||
\(734\) | 1.80083 | − | 1.06042i | 0.0664699 | − | 0.0391409i | ||||
\(735\) | −13.5558 | + | 6.34103i | −0.500012 | + | 0.233892i | ||||
\(736\) | −9.12754 | − | 4.75982i | −0.336446 | − | 0.175449i | ||||
\(737\) | 12.3780i | 0.455950i | ||||||||
\(738\) | 17.5024 | + | 14.3614i | 0.644272 | + | 0.528652i | ||||
\(739\) | 6.92568 | + | 6.92568i | 0.254765 | + | 0.254765i | 0.822921 | − | 0.568156i | \(-0.192343\pi\) |
−0.568156 | + | 0.822921i | \(0.692343\pi\) | |||||||
\(740\) | −3.03089 | + | 5.46418i | −0.111418 | + | 0.200867i | ||||
\(741\) | −5.03740 | − | 28.3688i | −0.185053 | − | 1.04215i | ||||
\(742\) | −4.66261 | − | 1.20655i | −0.171170 | − | 0.0442937i | ||||
\(743\) | 27.7583 | + | 16.0262i | 1.01835 | + | 0.587946i | 0.913626 | − | 0.406555i | \(-0.133270\pi\) |
0.104726 | + | 0.994501i | \(0.466603\pi\) | |||||||
\(744\) | 48.8343 | − | 9.97477i | 1.79035 | − | 0.365693i | ||||
\(745\) | −5.74942 | + | 3.31943i | −0.210642 | + | 0.121614i | ||||
\(746\) | −44.6548 | + | 12.3770i | −1.63493 | + | 0.453153i | ||||
\(747\) | 2.86888 | − | 6.19119i | 0.104967 | − | 0.226524i | ||||
\(748\) | 22.9776 | + | 5.73597i | 0.840145 | + | 0.209728i | ||||
\(749\) | 0.613380 | − | 2.28916i | 0.0224124 | − | 0.0836442i | ||||
\(750\) | −25.7358 | − | 1.99801i | −0.939739 | − | 0.0729569i | ||||
\(751\) | 7.35037 | + | 4.24374i | 0.268219 | + | 0.154856i | 0.628078 | − | 0.778151i | \(-0.283842\pi\) |
−0.359859 | + | 0.933007i | \(0.617175\pi\) | |||||||
\(752\) | 23.2309 | + | 37.2247i | 0.847144 | + | 1.35745i | ||||
\(753\) | 16.8269 | + | 1.45176i | 0.613207 | + | 0.0529051i | ||||
\(754\) | 16.0536 | − | 0.137794i | 0.584639 | − | 0.00501818i | ||||
\(755\) | 2.70975 | − | 2.70975i | 0.0986179 | − | 0.0986179i | ||||
\(756\) | −1.40492 | + | 2.55453i | −0.0510964 | + | 0.0929072i | ||||
\(757\) | −15.2511 | − | 15.2511i | −0.554309 | − | 0.554309i | 0.373372 | − | 0.927682i | \(-0.378201\pi\) |
−0.927682 | + | 0.373372i | \(0.878201\pi\) | |||||||
\(758\) | 26.9957 | − | 27.4631i | 0.980527 | − | 0.997505i | ||||
\(759\) | −0.862335 | + | 9.99505i | −0.0313008 | + | 0.362797i | ||||
\(760\) | 9.79726 | − | 18.0258i | 0.355384 | − | 0.653864i | ||||
\(761\) | −1.63439 | + | 2.83084i | −0.0592465 | + | 0.102618i | −0.894127 | − | 0.447813i | \(-0.852203\pi\) |
0.834881 | + | 0.550431i | \(0.185536\pi\) | |||||||
\(762\) | −5.79670 | − | 6.77252i | −0.209992 | − | 0.245342i | ||||
\(763\) | −1.30643 | − | 0.350056i | −0.0472959 | − | 0.0126729i | ||||
\(764\) | 14.5919 | + | 24.3007i | 0.527915 | + | 0.879170i | ||||
\(765\) | −1.24774 | − | 13.8770i | −0.0451123 | − | 0.501725i | ||||
\(766\) | 5.56747 | − | 9.83718i | 0.201161 | − | 0.355432i | ||||
\(767\) | −7.98088 | − | 13.8233i | −0.288173 | − | 0.499130i | ||||
\(768\) | −19.9339 | + | 19.2520i | −0.719301 | + | 0.694698i | ||||
\(769\) | 19.1814 | − | 33.2232i | 0.691701 | − | 1.19806i | −0.279580 | − | 0.960123i | \(-0.590195\pi\) |
0.971280 | − | 0.237938i | \(-0.0764716\pi\) | |||||||
\(770\) | −0.799884 | − | 1.35838i | −0.0288258 | − | 0.0489526i | ||||
\(771\) | −4.28176 | + | 0.760304i | −0.154204 | + | 0.0273817i | ||||
\(772\) | −12.5537 | + | 22.6321i | −0.451817 | + | 0.814549i | ||||
\(773\) | −20.0548 | + | 20.0548i | −0.721320 | + | 0.721320i | −0.968874 | − | 0.247554i | \(-0.920373\pi\) |
0.247554 | + | 0.968874i | \(0.420373\pi\) | |||||||
\(774\) | 12.4964 | − | 27.5861i | 0.449173 | − | 0.991561i | ||||
\(775\) | −35.0148 | −1.25777 | ||||||||
\(776\) | 27.1459 | + | 44.3409i | 0.974480 | + | 1.59174i | ||||
\(777\) | −0.515242 | − | 1.10148i | −0.0184842 | − | 0.0395153i | ||||
\(778\) | −11.7018 | − | 3.02808i | −0.419530 | − | 0.108562i | ||||
\(779\) | 29.9501 | − | 8.02512i | 1.07308 | − | 0.287530i | ||||
\(780\) | −4.02005 | + | 11.7099i | −0.143941 | + | 0.419283i | ||||
\(781\) | 32.8375 | + | 8.79878i | 1.17502 | + | 0.314845i | ||||
\(782\) | −4.71580 | + | 8.33236i | −0.168637 | + | 0.297965i | ||||
\(783\) | −19.8822 | + | 5.40442i | −0.710532 | + | 0.193138i | ||||
\(784\) | 13.0114 | − | 24.4371i | 0.464694 | − | 0.872754i | ||||
\(785\) | −6.31134 | + | 3.64385i | −0.225261 | + | 0.130055i | ||||
\(786\) | 31.3484 | + | 21.4963i | 1.11816 | + | 0.766747i | ||||
\(787\) | −9.14785 | + | 2.45116i | −0.326086 | + | 0.0873744i | −0.418148 | − | 0.908379i | \(-0.637321\pi\) |
0.0920625 | + | 0.995753i | \(0.470654\pi\) | |||||||
\(788\) | 15.7681 | − | 16.3190i | 0.561715 | − | 0.581339i | ||||
\(789\) | 2.14568 | − | 5.91736i | 0.0763883 | − | 0.210664i | ||||
\(790\) | −12.6626 | − | 12.4471i | −0.450514 | − | 0.442846i | ||||
\(791\) | 0.619775i | 0.0220367i | ||||||||
\(792\) | 24.7890 | + | 10.7204i | 0.880838 | + | 0.380931i | ||||
\(793\) | 18.4703i | 0.655900i | ||||||||
\(794\) | 30.8374 | − | 31.3713i | 1.09438 | − | 1.11333i | ||||
\(795\) | 25.8446 | − | 4.58917i | 0.916613 | − | 0.162761i | ||||
\(796\) | 21.8366 | − | 0.374891i | 0.773979 | − | 0.0132877i | ||||
\(797\) | 26.8654 | − | 7.19855i | 0.951620 | − | 0.254986i | 0.250571 | − | 0.968098i | \(-0.419382\pi\) |
0.701050 | + | 0.713112i | \(0.252715\pi\) | |||||||
\(798\) | 1.72272 | + | 3.60193i | 0.0609836 | + | 0.127507i | ||||
\(799\) | 35.3432 | − | 20.4054i | 1.25035 | − | 0.721891i | ||||
\(800\) | 16.4270 | − | 10.4486i | 0.580783 | − | 0.369414i | ||||
\(801\) | 0.964141 | − | 5.54594i | 0.0340662 | − | 0.195956i | ||||
\(802\) | −21.9165 | − | 12.4039i | −0.773899 | − | 0.437998i | ||||
\(803\) | −28.6052 | − | 7.66474i | −1.00946 | − | 0.270483i | ||||
\(804\) | −7.52298 | + | 11.1754i | −0.265315 | + | 0.394124i | ||||
\(805\) | 0.615577 | − | 0.164943i | 0.0216962 | − | 0.00581349i | ||||
\(806\) | −10.3196 | + | 39.8794i | −0.363493 | + | 1.40469i | ||||
\(807\) | −30.1716 | − | 2.60309i | −1.06209 | − | 0.0916332i | ||||
\(808\) | −44.4733 | − | 10.6973i | −1.56456 | − | 0.376331i | ||||
\(809\) | −48.8492 | −1.71745 | −0.858724 | − | 0.512439i | \(-0.828742\pi\) | ||||
−0.858724 | + | 0.512439i | \(0.828742\pi\) | |||||||
\(810\) | 1.17266 | − | 15.8458i | 0.0412031 | − | 0.556766i | ||||
\(811\) | −5.86383 | + | 5.86383i | −0.205907 | + | 0.205907i | −0.802525 | − | 0.596618i | \(-0.796511\pi\) |
0.596618 | + | 0.802525i | \(0.296511\pi\) | |||||||
\(812\) | −2.13871 | + | 0.612600i | −0.0750539 | + | 0.0214981i | ||||
\(813\) | −30.3996 | − | 36.1404i | −1.06616 | − | 1.26750i | ||||
\(814\) | −9.70723 | + | 5.71612i | −0.340238 | + | 0.200350i | ||||
\(815\) | 11.0840 | − | 19.1981i | 0.388256 | − | 0.672480i | ||||
\(816\) | 17.2590 | + | 19.1438i | 0.604184 | + | 0.670166i | ||||
\(817\) | −20.7378 | − | 35.9189i | −0.725524 | − | 1.25664i | ||||
\(818\) | −29.8588 | − | 16.8990i | −1.04399 | − | 0.590858i | ||||
\(819\) | −1.38675 | − | 1.97037i | −0.0484568 | − | 0.0688502i | ||||
\(820\) | −12.9269 | − | 3.22697i | −0.451426 | − | 0.112691i | ||||
\(821\) | −3.09154 | − | 0.828375i | −0.107895 | − | 0.0289105i | 0.204467 | − | 0.978873i | \(-0.434454\pi\) |
−0.312363 | + | 0.949963i | \(0.601120\pi\) | |||||||
\(822\) | 48.0749 | + | 16.9669i | 1.67681 | + | 0.591788i | ||||
\(823\) | −20.9908 | + | 36.3572i | −0.731695 | + | 1.26733i | 0.224464 | + | 0.974482i | \(0.427937\pi\) |
−0.956158 | + | 0.292850i | \(0.905396\pi\) | |||||||
\(824\) | 0.165155 | − | 0.303866i | 0.00575345 | − | 0.0105857i | ||||
\(825\) | −15.5550 | − | 10.8638i | −0.541555 | − | 0.378231i | ||||
\(826\) | 1.57741 | + | 1.55057i | 0.0548853 | + | 0.0539511i | ||||
\(827\) | 12.7209 | + | 12.7209i | 0.442348 | + | 0.442348i | 0.892800 | − | 0.450453i | \(-0.148737\pi\) |
−0.450453 | + | 0.892800i | \(0.648737\pi\) | |||||||
\(828\) | −6.85324 | + | 8.49982i | −0.238166 | + | 0.295389i | ||||
\(829\) | −10.4132 | + | 10.4132i | −0.361665 | + | 0.361665i | −0.864425 | − | 0.502761i | \(-0.832318\pi\) |
0.502761 | + | 0.864425i | \(0.332318\pi\) | |||||||
\(830\) | 0.0344661 | + | 4.01545i | 0.00119634 | + | 0.139378i | ||||
\(831\) | 12.6914 | + | 27.1315i | 0.440260 | + | 0.941181i | ||||
\(832\) | −7.05883 | − | 21.7887i | −0.244721 | − | 0.755386i | ||||
\(833\) | −22.2996 | − | 12.8747i | −0.772637 | − | 0.446082i | ||||
\(834\) | 1.67741 | + | 1.15024i | 0.0580839 | + | 0.0398294i | ||||
\(835\) | −4.50815 | + | 16.8246i | −0.156011 | + | 0.582241i | ||||
\(836\) | 31.7104 | − | 19.0411i | 1.09673 | − | 0.658552i | ||||
\(837\) | −0.190858 | − | 52.8657i | −0.00659702 | − | 1.82731i | ||||
\(838\) | 4.31702 | + | 15.5754i | 0.149129 | + | 0.538042i | ||||
\(839\) | −25.7863 | + | 14.8877i | −0.890241 | + | 0.513981i | −0.874021 | − | 0.485888i | \(-0.838496\pi\) |
−0.0162196 | + | 0.999868i | \(0.505163\pi\) | |||||||
\(840\) | 0.103415 | − | 1.71254i | 0.00356816 | − | 0.0590883i | ||||
\(841\) | 11.4986 | + | 6.63872i | 0.396503 | + | 0.228921i | ||||
\(842\) | −6.12911 | + | 23.6855i | −0.211223 | + | 0.816256i | ||||
\(843\) | −22.9494 | − | 8.32164i | −0.790420 | − | 0.286613i | ||||
\(844\) | 32.4668 | − | 9.29961i | 1.11755 | − | 0.320106i | ||||
\(845\) | 4.24025 | + | 4.24025i | 0.145869 | + | 0.145869i | ||||
\(846\) | 43.5563 | − | 16.3975i | 1.49750 | − | 0.563757i | ||||
\(847\) | 0.243829i | 0.00837805i | ||||||||
\(848\) | −33.1373 | + | 35.4945i | −1.13794 | + | 1.21889i | ||||
\(849\) | 0.924350 | + | 0.645580i | 0.0317236 | + | 0.0221563i | ||||
\(850\) | −9.18785 | − | 15.6030i | −0.315141 | − | 0.535178i | ||||
\(851\) | −1.17872 | − | 4.39903i | −0.0404059 | − | 0.150797i | ||||
\(852\) | 24.2993 | + | 27.9015i | 0.832482 | + | 0.955890i | ||||
\(853\) | 7.61221 | − | 28.4092i | 0.260637 | − | 0.972711i | −0.704230 | − | 0.709972i | \(-0.748708\pi\) |
0.964867 | − | 0.262739i | \(-0.0846258\pi\) | |||||||
\(854\) | −0.683648 | − | 2.46653i | −0.0233940 | − | 0.0844029i | ||||
\(855\) | −16.7033 | − | 13.9474i | −0.571241 | − | 0.476990i | ||||
\(856\) | −17.3253 | − | 16.4553i | −0.592166 | − | 0.562429i | ||||
\(857\) | −14.3783 | − | 24.9039i | −0.491152 | − | 0.850700i | 0.508796 | − | 0.860887i | \(-0.330091\pi\) |
−0.999948 | + | 0.0101867i | \(0.996757\pi\) | |||||||
\(858\) | −16.9575 | + | 14.5142i | −0.578921 | + | 0.495508i | ||||
\(859\) | −2.48122 | − | 9.26004i | −0.0846582 | − | 0.315949i | 0.910591 | − | 0.413308i | \(-0.135627\pi\) |
−0.995249 | + | 0.0973599i | \(0.968960\pi\) | |||||||
\(860\) | 0.305924 | + | 17.8194i | 0.0104319 | + | 0.607638i | ||||
\(861\) | 1.98429 | − | 1.66909i | 0.0676243 | − | 0.0568823i | ||||
\(862\) | −47.7733 | + | 0.410056i | −1.62717 | + | 0.0139666i | ||||
\(863\) | −38.6895 | −1.31700 | −0.658502 | − | 0.752579i | \(-0.728810\pi\) | ||||
−0.658502 | + | 0.752579i | \(0.728810\pi\) | |||||||
\(864\) | 15.8650 | + | 24.7448i | 0.539737 | + | 0.841834i | ||||
\(865\) | −3.08877 | −0.105021 | ||||||||
\(866\) | −46.3048 | + | 0.397451i | −1.57350 | + | 0.0135059i | ||||
\(867\) | −4.18757 | + | 3.52238i | −0.142217 | + | 0.119626i | ||||
\(868\) | −0.0979859 | − | 5.70747i | −0.00332586 | − | 0.193724i | ||||
\(869\) | −8.28517 | − | 30.9207i | −0.281055 | − | 1.04891i | ||||
\(870\) | 9.21156 | − | 7.88432i | 0.312301 | − | 0.267303i | ||||
\(871\) | −5.56687 | − | 9.64210i | −0.188626 | − | 0.326710i | ||||
\(872\) | −9.39103 | + | 9.88755i | −0.318020 | + | 0.334835i | ||||
\(873\) | 51.7731 | − | 18.9851i | 1.75225 | − | 0.642548i | ||||
\(874\) | 3.99402 | + | 14.4100i | 0.135100 | + | 0.487425i | ||||
\(875\) | −0.765148 | + | 2.85557i | −0.0258667 | + | 0.0965360i | ||||
\(876\) | −21.1675 | − | 24.3054i | −0.715184 | − | 0.821203i | ||||
\(877\) | −9.07397 | − | 33.8645i | −0.306406 | − | 1.14352i | −0.931728 | − | 0.363157i | \(-0.881699\pi\) |
0.625322 | − | 0.780367i | \(-0.284968\pi\) | |||||||
\(878\) | −21.1343 | − | 35.8906i | −0.713247 | − | 1.21125i | ||||
\(879\) | 11.8956 | + | 8.30807i | 0.401228 | + | 0.280224i | ||||
\(880\) | −15.8844 | + | 0.545567i | −0.535463 | + | 0.0183911i | ||||
\(881\) | 15.5358i | 0.523415i | 0.965147 | + | 0.261708i | \(0.0842856\pi\) | ||||
−0.965147 | + | 0.261708i | \(0.915714\pi\) | |||||||
\(882\) | −22.7007 | − | 18.6268i | −0.764371 | − | 0.627199i | ||||
\(883\) | −35.3696 | − | 35.3696i | −1.19028 | − | 1.19028i | −0.976988 | − | 0.213292i | \(-0.931581\pi\) |
−0.213292 | − | 0.976988i | \(-0.568419\pi\) | |||||||
\(884\) | −20.4786 | + | 5.86578i | −0.688769 | + | 0.197287i | ||||
\(885\) | −11.3331 | − | 4.10946i | −0.380957 | − | 0.138138i | ||||
\(886\) | −3.22926 | + | 12.4792i | −0.108489 | + | 0.419248i | ||||
\(887\) | −22.5037 | − | 12.9925i | −0.755599 | − | 0.436246i | 0.0721141 | − | 0.997396i | \(-0.477025\pi\) |
−0.827714 | + | 0.561151i | \(0.810359\pi\) | |||||||
\(888\) | −12.2382 | − | 0.739023i | −0.410686 | − | 0.0248000i | ||||
\(889\) | −0.884169 | + | 0.510475i | −0.0296541 | + | 0.0171208i | ||||
\(890\) | 0.884814 | + | 3.19231i | 0.0296590 | + | 0.107007i | ||||
\(891\) | 16.3176 | − | 23.5443i | 0.546659 | − | 0.788764i | ||||
\(892\) | 24.4685 | − | 14.6926i | 0.819267 | − | 0.491945i | ||||
\(893\) | 16.4968 | − | 61.5670i | 0.552045 | − | 2.06026i | ||||
\(894\) | −10.7432 | − | 7.36686i | −0.359307 | − | 0.246385i | ||||
\(895\) | −14.5841 | − | 8.42011i | −0.487492 | − | 0.281453i | ||||
\(896\) | 1.74911 | + | 2.64839i | 0.0584337 | + | 0.0884766i | ||||
\(897\) | −3.82343 | − | 8.17367i | −0.127661 | − | 0.272911i | ||||
\(898\) | 0.0338876 | + | 3.94805i | 0.00113084 | + | 0.131748i | ||||
\(899\) | 28.5261 | − | 28.5261i | 0.951398 | − | 0.951398i | ||||
\(900\) | −7.44094 | − | 19.2622i | −0.248031 | − | 0.642072i | ||||
\(901\) | 31.9353 | + | 31.9353i | 1.06392 | + | 1.06392i | ||||
\(902\) | −17.1303 | − | 16.8387i | −0.570376 | − | 0.560668i | ||||
\(903\) | −2.84352 | − | 1.98596i | −0.0946266 | − | 0.0660887i | ||||
\(904\) | 5.49027 | + | 2.98404i | 0.182604 | + | 0.0992476i | ||||
\(905\) | 6.03678 | − | 10.4560i | 0.200669 | − | 0.347569i | ||||
\(906\) | 7.09064 | + | 2.50247i | 0.235571 | + | 0.0831391i | ||||
\(907\) | −26.5046 | − | 7.10188i | −0.880070 | − | 0.235814i | −0.209633 | − | 0.977780i | \(-0.567227\pi\) |
−0.670437 | + | 0.741966i | \(0.733894\pi\) | |||||||
\(908\) | −17.0869 | − | 4.26545i | −0.567048 | − | 0.141554i | ||||
\(909\) | −20.3980 | + | 44.0200i | −0.676560 | + | 1.46005i | ||||
\(910\) | 1.23400 | + | 0.698398i | 0.0409067 | + | 0.0231517i | ||||
\(911\) | −23.4177 | − | 40.5606i | −0.775863 | − | 1.34383i | −0.934308 | − | 0.356466i | \(-0.883982\pi\) |
0.158445 | − | 0.987368i | \(-0.449352\pi\) | |||||||
\(912\) | 40.2020 | + | 2.08152i | 1.33122 | + | 0.0689262i | ||||
\(913\) | −3.61980 | + | 6.26967i | −0.119798 | + | 0.207496i | ||||
\(914\) | −2.68696 | + | 1.58222i | −0.0888767 | + | 0.0523352i | ||||
\(915\) | 8.97957 | + | 10.6753i | 0.296855 | + | 0.352915i | ||||
\(916\) | 47.9287 | − | 13.7284i | 1.58361 | − | 0.453600i | ||||
\(917\) | 3.07820 | − | 3.07820i | 0.101651 | − | 0.101651i | ||||
\(918\) | 23.5075 | − | 13.9570i | 0.775863 | − | 0.460649i | ||||
\(919\) | −0.421071 | −0.0138899 | −0.00694493 | − | 0.999976i | \(-0.502211\pi\) | ||||
−0.00694493 | + | 0.999976i | \(0.502211\pi\) | |||||||
\(920\) | 1.50267 | − | 6.24723i | 0.0495416 | − | 0.205965i | ||||
\(921\) | −24.7093 | − | 2.13183i | −0.814200 | − | 0.0702461i | ||||
\(922\) | −7.03674 | + | 27.1930i | −0.231743 | + | 0.895553i | ||||
\(923\) | −29.5366 | + | 7.91430i | −0.972209 | + | 0.260503i | ||||
\(924\) | 1.72730 | − | 2.56589i | 0.0568238 | − | 0.0844116i | ||||
\(925\) | 8.31957 | + | 2.22922i | 0.273546 | + | 0.0732964i | ||||
\(926\) | 1.98036 | + | 1.12081i | 0.0650788 | + | 0.0368321i | ||||
\(927\) | −0.281572 | − | 0.235115i | −0.00924805 | − | 0.00772218i | ||||
\(928\) | −4.87053 | + | 21.8952i | −0.159883 | + | 0.718745i | ||||
\(929\) | −5.41100 | + | 3.12404i | −0.177529 | + | 0.102496i | −0.586131 | − | 0.810216i | \(-0.699350\pi\) |
0.408602 | + | 0.912713i | \(0.366016\pi\) | |||||||
\(930\) | 13.4234 | + | 28.0662i | 0.440171 | + | 0.920326i | ||||
\(931\) | −38.8455 | + | 10.4086i | −1.27311 | + | 0.341128i | ||||
\(932\) | 13.0240 | − | 0.223596i | 0.426615 | − | 0.00732413i | ||||
\(933\) | 27.1451 | − | 4.82010i | 0.888689 | − | 0.157803i | ||||
\(934\) | 13.9415 | − | 14.1829i | 0.456179 | − | 0.464078i | ||||
\(935\) | 14.7824i | 0.483437i | ||||||||
\(936\) | −24.1312 | + | 2.79773i | −0.788754 | + | 0.0914467i | ||||
\(937\) | 41.2133i | 1.34638i | 0.739470 | + | 0.673189i | \(0.235076\pi\) | ||||
−0.739470 | + | 0.673189i | \(0.764924\pi\) | |||||||
\(938\) | 1.10029 | + | 1.08156i | 0.0359257 | + | 0.0353142i | ||||
\(939\) | −6.75142 | + | 18.6191i | −0.220324 | + | 0.607610i | ||||
\(940\) | −19.0314 | + | 19.6962i | −0.620734 | + | 0.642420i | ||||
\(941\) | 12.0368 | − | 3.22526i | 0.392390 | − | 0.105141i | −0.0572290 | − | 0.998361i | \(-0.518227\pi\) |
0.449619 | + | 0.893221i | \(0.351560\pi\) | |||||||
\(942\) | −11.7932 | − | 8.08686i | −0.384244 | − | 0.263484i | ||||
\(943\) | 8.40987 | − | 4.85544i | 0.273863 | − | 0.158115i | ||||
\(944\) | 21.3305 | − | 6.50799i | 0.694247 | − | 0.211817i | ||||
\(945\) | −1.75942 | − | 0.464633i | −0.0572339 | − | 0.0151145i | ||||
\(946\) | −15.8260 | + | 27.9630i | −0.514547 | + | 0.909154i | ||||
\(947\) | 14.8120 | + | 3.96886i | 0.481325 | + | 0.128971i | 0.491320 | − | 0.870979i | \(-0.336515\pi\) |
−0.00999447 | + | 0.999950i | \(0.503181\pi\) | |||||||
\(948\) | 11.3125 | − | 32.9519i | 0.367412 | − | 1.07023i | ||||
\(949\) | 25.7297 | − | 6.89426i | 0.835222 | − | 0.223797i | ||||
\(950\) | −27.3782 | − | 7.08469i | −0.888267 | − | 0.229858i | ||||
\(951\) | 20.0338 | + | 42.8281i | 0.649642 | + | 1.38879i | ||||
\(952\) | 2.51760 | − | 1.54130i | 0.0815960 | − | 0.0499538i | ||||
\(953\) | −20.0192 | −0.648486 | −0.324243 | − | 0.945974i | \(-0.605110\pi\) | ||||
−0.324243 | + | 0.945974i | \(0.605110\pi\) | |||||||
\(954\) | 30.0035 | + | 41.8626i | 0.971398 | + | 1.35535i | ||||
\(955\) | −12.5106 | + | 12.5106i | −0.404833 | + | 0.404833i | ||||
\(956\) | 4.59658 | − | 8.28684i | 0.148664 | − | 0.268015i | ||||
\(957\) | 21.5231 | − | 3.82181i | 0.695742 | − | 0.123541i | ||||
\(958\) | −20.6476 | − | 35.0642i | −0.667094 | − | 1.13287i | ||||
\(959\) | 2.91935 | − | 5.05646i | 0.0942707 | − | 0.163282i | ||||
\(960\) | −14.6726 | − | 9.16149i | −0.473557 | − | 0.295686i | ||||
\(961\) | 36.2559 | + | 62.7971i | 1.16955 | + | 2.02571i | ||||
\(962\) | 4.99088 | − | 8.81841i | 0.160913 | − | 0.284317i | ||||
\(963\) | −20.7254 | + | 14.5865i | −0.667866 | + | 0.470045i | ||||
\(964\) | 15.3162 | + | 25.5070i | 0.493302 | + | 0.821526i | ||||
\(965\) | −15.6039 | − | 4.18105i | −0.502307 | − | 0.134593i | ||||
\(966\) | 0.813117 | + | 0.949997i | 0.0261616 | + | 0.0305656i | ||||
\(967\) | −16.3485 | + | 28.3164i | −0.525732 | + | 0.910594i | 0.473819 | + | 0.880622i | \(0.342875\pi\) |
−0.999551 | + | 0.0299719i | \(0.990458\pi\) | |||||||
\(968\) | 2.15995 | + | 1.17396i | 0.0694235 | + | 0.0377326i | ||||
\(969\) | 3.21832 | − | 37.3025i | 0.103387 | − | 1.19833i | ||||
\(970\) | −22.7490 | + | 23.1429i | −0.730427 | + | 0.743075i | ||||
\(971\) | 12.2406 | + | 12.2406i | 0.392820 | + | 0.392820i | 0.875691 | − | 0.482871i | \(-0.160406\pi\) |
−0.482871 | + | 0.875691i | \(0.660406\pi\) | |||||||
\(972\) | 29.0417 | − | 11.3394i | 0.931512 | − | 0.363712i | ||||
\(973\) | 0.164710 | − | 0.164710i | 0.00528037 | − | 0.00528037i | ||||
\(974\) | 60.8363 | − | 0.522181i | 1.94932 | − | 0.0167318i | ||||
\(975\) | 17.0028 | + | 1.46693i | 0.544524 | + | 0.0469795i | ||||
\(976\) | −25.1413 | − | 5.81953i | −0.804753 | − | 0.186278i | ||||
\(977\) | 34.1771 | + | 19.7322i | 1.09342 | + | 0.631288i | 0.934486 | − | 0.356000i | \(-0.115860\pi\) |
0.158938 | + | 0.987289i | \(0.449193\pi\) | |||||||
\(978\) | 43.3665 | + | 3.36677i | 1.38671 | + | 0.107657i | ||||
\(979\) | −1.54575 | + | 5.76880i | −0.0494022 | + | 0.184372i | ||||
\(980\) | 16.7662 | + | 4.18539i | 0.535577 | + | 0.133698i | ||||
\(981\) | 8.32455 | + | 11.8280i | 0.265782 | + | 0.377639i | ||||
\(982\) | 7.42246 | − | 2.05728i | 0.236860 | − | 0.0656506i | ||||
\(983\) | 3.78032 | − | 2.18257i | 0.120574 | − | 0.0696132i | −0.438500 | − | 0.898731i | \(-0.644490\pi\) |
0.559074 | + | 0.829118i | \(0.311157\pi\) | |||||||
\(984\) | −5.23183 | − | 25.6139i | −0.166785 | − | 0.816542i | ||||
\(985\) | 12.2666 | + | 7.08211i | 0.390845 | + | 0.225655i | ||||
\(986\) | 20.1968 | + | 5.22633i | 0.643196 | + | 0.166440i | ||||
\(987\) | −0.931885 | − | 5.24804i | −0.0296622 | − | 0.167047i | ||||
\(988\) | −16.1379 | + | 29.0939i | −0.513416 | + | 0.925600i | ||||
\(989\) | −9.18504 | − | 9.18504i | −0.292067 | − | 0.292067i | ||||
\(990\) | −2.74471 | + | 16.6329i | −0.0872327 | + | 0.528629i | ||||
\(991\) | 21.1610i | 0.672200i | 0.941826 | + | 0.336100i | \(0.109108\pi\) | ||||
−0.941826 | + | 0.336100i | \(0.890892\pi\) | |||||||
\(992\) | −51.0313 | − | 26.6118i | −1.62025 | − | 0.844924i | ||||
\(993\) | 18.0332 | − | 8.43546i | 0.572266 | − | 0.267691i | ||||
\(994\) | 3.65139 | − | 2.15013i | 0.115815 | − | 0.0681979i | ||||
\(995\) | 3.52825 | + | 13.1676i | 0.111853 | + | 0.417441i | ||||
\(996\) | −7.07861 | + | 3.46050i | −0.224294 | + | 0.109650i | ||||
\(997\) | −3.41563 | + | 12.7473i | −0.108174 | + | 0.403712i | −0.998686 | − | 0.0512486i | \(-0.983680\pi\) |
0.890512 | + | 0.454960i | \(0.150347\pi\) | |||||||
\(998\) | 24.2983 | − | 6.73475i | 0.769148 | − | 0.213185i | ||||
\(999\) | −3.32036 | + | 12.5731i | −0.105051 | + | 0.397796i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 144.2.u.a.59.22 | yes | 88 | |
3.2 | odd | 2 | 432.2.v.a.395.1 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.527.17 | 88 | |||
9.2 | odd | 6 | inner | 144.2.u.a.11.16 | ✓ | 88 | |
9.7 | even | 3 | 432.2.v.a.251.7 | 88 | |||
12.11 | even | 2 | 1728.2.z.a.719.7 | 88 | |||
16.3 | odd | 4 | inner | 144.2.u.a.131.16 | yes | 88 | |
16.13 | even | 4 | 576.2.y.a.239.6 | 88 | |||
36.7 | odd | 6 | 1728.2.z.a.143.7 | 88 | |||
36.11 | even | 6 | 576.2.y.a.335.6 | 88 | |||
48.29 | odd | 4 | 1728.2.z.a.1583.7 | 88 | |||
48.35 | even | 4 | 432.2.v.a.179.7 | 88 | |||
144.29 | odd | 12 | 576.2.y.a.47.17 | 88 | |||
144.61 | even | 12 | 1728.2.z.a.1007.7 | 88 | |||
144.83 | even | 12 | inner | 144.2.u.a.83.22 | yes | 88 | |
144.115 | odd | 12 | 432.2.v.a.35.1 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.16 | ✓ | 88 | 9.2 | odd | 6 | inner | |
144.2.u.a.59.22 | yes | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.83.22 | yes | 88 | 144.83 | even | 12 | inner | |
144.2.u.a.131.16 | yes | 88 | 16.3 | odd | 4 | inner | |
432.2.v.a.35.1 | 88 | 144.115 | odd | 12 | |||
432.2.v.a.179.7 | 88 | 48.35 | even | 4 | |||
432.2.v.a.251.7 | 88 | 9.7 | even | 3 | |||
432.2.v.a.395.1 | 88 | 3.2 | odd | 2 | |||
576.2.y.a.47.17 | 88 | 144.29 | odd | 12 | |||
576.2.y.a.239.6 | 88 | 16.13 | even | 4 | |||
576.2.y.a.335.6 | 88 | 36.11 | even | 6 | |||
576.2.y.a.527.17 | 88 | 4.3 | odd | 2 | |||
1728.2.z.a.143.7 | 88 | 36.7 | odd | 6 | |||
1728.2.z.a.719.7 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.1007.7 | 88 | 144.61 | even | 12 | |||
1728.2.z.a.1583.7 | 88 | 48.29 | odd | 4 |