Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [841,2,Mod(63,841)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(841, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("841.63");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 841 = 29^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 841.e (of order \(14\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.71541880999\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 63.3 | ||
Character | \(\chi\) | \(=\) | 841.63 |
Dual form | 841.2.e.j.267.3 |
$q$-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 \(\left(\mathbb{Z}/841\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{11}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.483198 | − | 0.385338i | 0.341673 | − | 0.272475i | −0.437587 | − | 0.899176i | \(-0.644167\pi\) |
0.779260 | + | 0.626701i | \(0.215595\pi\) | |||||||
\(3\) | 0.602539 | − | 0.137526i | 0.347876 | − | 0.0794004i | −0.0450129 | − | 0.998986i | \(-0.514333\pi\) |
0.392889 | + | 0.919586i | \(0.371476\pi\) | |||||||
\(4\) | −0.360046 | + | 1.57747i | −0.180023 | + | 0.788733i | ||||
\(5\) | −2.40299 | − | 3.01326i | −1.07465 | − | 1.34757i | −0.933904 | − | 0.357525i | \(-0.883621\pi\) |
−0.140748 | − | 0.990046i | \(-0.544951\pi\) | |||||||
\(6\) | 0.238152 | − | 0.298633i | 0.0972251 | − | 0.121916i | ||||
\(7\) | 0.497572 | + | 2.18001i | 0.188065 | + | 0.823964i | 0.977636 | + | 0.210306i | \(0.0674459\pi\) |
−0.789571 | + | 0.613659i | \(0.789697\pi\) | |||||||
\(8\) | 0.970194 | + | 2.01463i | 0.343015 | + | 0.712278i | ||||
\(9\) | −2.35877 | + | 1.13592i | −0.786256 | + | 0.378641i | ||||
\(10\) | −2.32225 | − | 0.530037i | −0.734358 | − | 0.167613i | ||||
\(11\) | 0.599613 | − | 1.24511i | 0.180790 | − | 0.375414i | −0.790804 | − | 0.612070i | \(-0.790337\pi\) |
0.971594 | + | 0.236656i | \(0.0760513\pi\) | |||||||
\(12\) | 1.00000i | 0.288675i | ||||||||
\(13\) | −0.212690 | − | 0.102426i | −0.0589896 | − | 0.0284079i | 0.404156 | − | 0.914690i | \(-0.367565\pi\) |
−0.463146 | + | 0.886282i | \(0.653279\pi\) | |||||||
\(14\) | 1.08046 | + | 0.861642i | 0.288766 | + | 0.230283i | ||||
\(15\) | −1.86230 | − | 1.48513i | −0.480843 | − | 0.383459i | ||||
\(16\) | −1.67049 | − | 0.804465i | −0.417622 | − | 0.201116i | ||||
\(17\) | 4.38197i | 1.06278i | 0.847126 | + | 0.531391i | \(0.178331\pi\) | ||||
−0.847126 | + | 0.531391i | \(0.821669\pi\) | |||||||
\(18\) | −0.702039 | + | 1.45780i | −0.165472 | + | 0.343606i | ||||
\(19\) | −4.73240 | − | 1.08014i | −1.08569 | − | 0.247801i | −0.358008 | − | 0.933719i | \(-0.616544\pi\) |
−0.727679 | + | 0.685918i | \(0.759401\pi\) | |||||||
\(20\) | 5.61850 | − | 2.70573i | 1.25634 | − | 0.605019i | ||||
\(21\) | 0.599613 | + | 1.24511i | 0.130846 | + | 0.271705i | ||||
\(22\) | −0.190056 | − | 0.832688i | −0.0405200 | − | 0.177530i | ||||
\(23\) | −0.770676 | + | 0.966397i | −0.160697 | + | 0.201508i | −0.855661 | − | 0.517537i | \(-0.826849\pi\) |
0.694964 | + | 0.719045i | \(0.255420\pi\) | |||||||
\(24\) | 0.861642 | + | 1.08046i | 0.175882 | + | 0.220549i | ||||
\(25\) | −2.19274 | + | 9.60704i | −0.438549 | + | 1.92141i | ||||
\(26\) | −0.142240 | + | 0.0324654i | −0.0278956 | + | 0.00636698i | ||||
\(27\) | −2.71463 | + | 2.16484i | −0.522430 | + | 0.416624i | ||||
\(28\) | −3.61803 | −0.683744 | ||||||||
\(29\) | 0 | 0 | ||||||||
\(30\) | −1.47214 | −0.268774 | ||||||||
\(31\) | −7.88881 | + | 6.29112i | −1.41687 | + | 1.12992i | −0.444693 | + | 0.895683i | \(0.646687\pi\) |
−0.972180 | + | 0.234235i | \(0.924742\pi\) | |||||||
\(32\) | −5.47718 | + | 1.25013i | −0.968237 | + | 0.220994i | ||||
\(33\) | 0.190056 | − | 0.832688i | 0.0330844 | − | 0.144952i | ||||
\(34\) | 1.68854 | + | 2.11736i | 0.289582 | + | 0.363124i | ||||
\(35\) | 5.37326 | − | 6.73785i | 0.908246 | − | 1.13890i | ||||
\(36\) | −0.942614 | − | 4.12986i | −0.157102 | − | 0.688310i | ||||
\(37\) | −2.04281 | − | 4.24195i | −0.335836 | − | 0.697371i | 0.662842 | − | 0.748759i | \(-0.269350\pi\) |
−0.998679 | + | 0.0513875i | \(0.983636\pi\) | |||||||
\(38\) | −2.70291 | + | 1.30165i | −0.438469 | + | 0.211156i | ||||
\(39\) | −0.142240 | − | 0.0324654i | −0.0227766 | − | 0.00519862i | ||||
\(40\) | 3.73922 | − | 7.76458i | 0.591223 | − | 1.22769i | ||||
\(41\) | 3.85410i | 0.601910i | 0.953638 | + | 0.300955i | \(0.0973053\pi\) | ||||
−0.953638 | + | 0.300955i | \(0.902695\pi\) | |||||||
\(42\) | 0.769519 | + | 0.370581i | 0.118739 | + | 0.0571819i | ||||
\(43\) | 5.65739 | + | 4.51161i | 0.862743 | + | 0.688015i | 0.951370 | − | 0.308050i | \(-0.0996764\pi\) |
−0.0886269 | + | 0.996065i | \(0.528248\pi\) | |||||||
\(44\) | 1.74823 | + | 1.39417i | 0.263555 | + | 0.210178i | ||||
\(45\) | 9.09093 | + | 4.37796i | 1.35520 | + | 0.652628i | ||||
\(46\) | 0.763932i | 0.112636i | ||||||||
\(47\) | −3.03719 | + | 6.30678i | −0.443019 | + | 0.919939i | 0.553199 | + | 0.833049i | \(0.313407\pi\) |
−0.996218 | + | 0.0868895i | \(0.972307\pi\) | |||||||
\(48\) | −1.11717 | − | 0.254986i | −0.161249 | − | 0.0368041i | ||||
\(49\) | 1.80194 | − | 0.867767i | 0.257420 | − | 0.123967i | ||||
\(50\) | 2.64243 | + | 5.48705i | 0.373695 | + | 0.775987i | ||||
\(51\) | 0.602632 | + | 2.64030i | 0.0843854 | + | 0.369716i | ||||
\(52\) | 0.238152 | − | 0.298633i | 0.0330257 | − | 0.0414130i | ||||
\(53\) | −1.24698 | − | 1.56366i | −0.171286 | − | 0.214786i | 0.688778 | − | 0.724973i | \(-0.258148\pi\) |
−0.860064 | + | 0.510187i | \(0.829576\pi\) | |||||||
\(54\) | −0.477507 | + | 2.09210i | −0.0649805 | + | 0.284698i | ||||
\(55\) | −5.19270 | + | 1.18520i | −0.700183 | + | 0.159812i | ||||
\(56\) | −3.90916 | + | 3.11745i | −0.522383 | + | 0.416587i | ||||
\(57\) | −3.00000 | −0.397360 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 6.09017 | 0.792873 | 0.396436 | − | 0.918062i | \(-0.370247\pi\) | ||||
0.396436 | + | 0.918062i | \(0.370247\pi\) | |||||||
\(60\) | 3.01326 | − | 2.40299i | 0.389010 | − | 0.310225i | ||||
\(61\) | 0.602539 | − | 0.137526i | 0.0771472 | − | 0.0176083i | −0.183773 | − | 0.982969i | \(-0.558831\pi\) |
0.260920 | + | 0.965360i | \(0.415974\pi\) | |||||||
\(62\) | −1.38766 | + | 6.07972i | −0.176232 | + | 0.772125i | ||||
\(63\) | −3.64997 | − | 4.57692i | −0.459853 | − | 0.576638i | ||||
\(64\) | 0.147186 | − | 0.184565i | 0.0183982 | − | 0.0230707i | ||||
\(65\) | 0.202456 | + | 0.887019i | 0.0251116 | + | 0.110021i | ||||
\(66\) | −0.229032 | − | 0.475589i | −0.0281918 | − | 0.0585410i | ||||
\(67\) | −1.37656 | + | 0.662915i | −0.168173 | + | 0.0809880i | −0.516077 | − | 0.856542i | \(-0.672608\pi\) |
0.347903 | + | 0.937530i | \(0.386894\pi\) | |||||||
\(68\) | −6.91240 | − | 1.57771i | −0.838252 | − | 0.191326i | ||||
\(69\) | −0.331458 | + | 0.688279i | −0.0399028 | + | 0.0828591i | ||||
\(70\) | − | 5.32624i | − | 0.636607i | ||||||
\(71\) | 9.43507 | + | 4.54369i | 1.11974 | + | 0.539237i | 0.899811 | − | 0.436280i | \(-0.143704\pi\) |
0.219926 | + | 0.975517i | \(0.429419\pi\) | |||||||
\(72\) | −4.57692 | − | 3.64997i | −0.539395 | − | 0.430153i | ||||
\(73\) | −10.7175 | − | 8.54693i | −1.25439 | − | 1.00034i | −0.999443 | − | 0.0333868i | \(-0.989371\pi\) |
−0.254947 | − | 0.966955i | \(-0.582058\pi\) | |||||||
\(74\) | −2.62167 | − | 1.26253i | −0.304763 | − | 0.146766i | ||||
\(75\) | 6.09017i | 0.703232i | ||||||||
\(76\) | 3.40777 | − | 7.07630i | 0.390898 | − | 0.811707i | ||||
\(77\) | 3.01269 | + | 0.687628i | 0.343328 | + | 0.0783624i | ||||
\(78\) | −0.0812403 | + | 0.0391233i | −0.00919865 | + | 0.00442984i | ||||
\(79\) | −2.64243 | − | 5.48705i | −0.297296 | − | 0.617342i | 0.697796 | − | 0.716297i | \(-0.254164\pi\) |
−0.995092 | + | 0.0989550i | \(0.968450\pi\) | |||||||
\(80\) | 1.59011 | + | 6.96674i | 0.177780 | + | 0.778905i | ||||
\(81\) | 3.55901 | − | 4.46285i | 0.395445 | − | 0.495873i | ||||
\(82\) | 1.48513 | + | 1.86230i | 0.164005 | + | 0.205656i | ||||
\(83\) | 2.21281 | − | 9.69495i | 0.242887 | − | 1.06416i | −0.695487 | − | 0.718539i | \(-0.744811\pi\) |
0.938374 | − | 0.345620i | \(-0.112331\pi\) | |||||||
\(84\) | −2.18001 | + | 0.497572i | −0.237858 | + | 0.0542895i | ||||
\(85\) | 13.2040 | − | 10.5298i | 1.43217 | − | 1.14212i | ||||
\(86\) | 4.47214 | 0.482243 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.09017 | 0.329413 | ||||||||
\(89\) | 3.68102 | − | 2.93552i | 0.390188 | − | 0.311164i | −0.408673 | − | 0.912681i | \(-0.634008\pi\) |
0.798860 | + | 0.601517i | \(0.205437\pi\) | |||||||
\(90\) | 6.07972 | − | 1.38766i | 0.640858 | − | 0.146272i | ||||
\(91\) | 0.117461 | − | 0.514629i | 0.0123132 | − | 0.0539478i | ||||
\(92\) | −1.24698 | − | 1.56366i | −0.130007 | − | 0.163023i | ||||
\(93\) | −3.88812 | + | 4.87555i | −0.403180 | + | 0.505571i | ||||
\(94\) | 0.962679 | + | 4.21777i | 0.0992927 | + | 0.435030i | ||||
\(95\) | 8.11719 | + | 16.8555i | 0.832806 | + | 1.72934i | ||||
\(96\) | −3.12829 | + | 1.50650i | −0.319279 | + | 0.153757i | ||||
\(97\) | −3.47299 | − | 0.792688i | −0.352629 | − | 0.0804852i | 0.0425373 | − | 0.999095i | \(-0.486456\pi\) |
−0.395166 | + | 0.918610i | \(0.629313\pi\) | |||||||
\(98\) | 0.536310 | − | 1.11366i | 0.0541755 | − | 0.112497i | ||||
\(99\) | 3.61803i | 0.363626i | ||||||||
\(100\) | −14.3653 | − | 6.91796i | −1.43653 | − | 0.691796i | ||||
\(101\) | 0.483198 | + | 0.385338i | 0.0480800 | + | 0.0383426i | 0.647235 | − | 0.762291i | \(-0.275925\pi\) |
−0.599155 | + | 0.800633i | \(0.704497\pi\) | |||||||
\(102\) | 1.30860 | + | 1.04357i | 0.129571 | + | 0.103329i | ||||
\(103\) | −8.27120 | − | 3.98320i | −0.814986 | − | 0.392476i | −0.0205229 | − | 0.999789i | \(-0.506533\pi\) |
−0.794463 | + | 0.607313i | \(0.792247\pi\) | |||||||
\(104\) | − | 0.527864i | − | 0.0517613i | ||||||
\(105\) | 2.31097 | − | 4.79877i | 0.225527 | − | 0.468312i | ||||
\(106\) | −1.20508 | − | 0.275051i | −0.117047 | − | 0.0267153i | ||||
\(107\) | −6.09409 | + | 2.93476i | −0.589138 | + | 0.283714i | −0.704608 | − | 0.709597i | \(-0.748877\pi\) |
0.115470 | + | 0.993311i | \(0.463163\pi\) | |||||||
\(108\) | −2.43757 | − | 5.06167i | −0.234556 | − | 0.487060i | ||||
\(109\) | −3.20029 | − | 14.0214i | −0.306532 | − | 1.34300i | −0.860068 | − | 0.510179i | \(-0.829579\pi\) |
0.553536 | − | 0.832825i | \(-0.313278\pi\) | |||||||
\(110\) | −2.05240 | + | 2.57363i | −0.195689 | + | 0.245386i | ||||
\(111\) | −1.81425 | − | 2.27500i | −0.172201 | − | 0.215933i | ||||
\(112\) | 0.922549 | − | 4.04195i | 0.0871727 | − | 0.381929i | ||||
\(113\) | 7.74509 | − | 1.76777i | 0.728597 | − | 0.166298i | 0.157896 | − | 0.987456i | \(-0.449529\pi\) |
0.570701 | + | 0.821158i | \(0.306672\pi\) | |||||||
\(114\) | −1.44960 | + | 1.15601i | −0.135767 | + | 0.108271i | ||||
\(115\) | 4.76393 | 0.444239 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.618034 | 0.0571373 | ||||||||
\(118\) | 2.94276 | − | 2.34677i | 0.270903 | − | 0.216038i | ||||
\(119\) | −9.55271 | + | 2.18034i | −0.875695 | + | 0.199872i | ||||
\(120\) | 1.18520 | − | 5.19270i | 0.108193 | − | 0.474026i | ||||
\(121\) | 5.66763 | + | 7.10698i | 0.515239 | + | 0.646089i | ||||
\(122\) | 0.238152 | − | 0.298633i | 0.0215613 | − | 0.0270370i | ||||
\(123\) | 0.530037 | + | 2.32225i | 0.0477919 | + | 0.209390i | ||||
\(124\) | −7.08369 | − | 14.7094i | −0.636134 | − | 1.32095i | ||||
\(125\) | 16.8555 | − | 8.11719i | 1.50760 | − | 0.726023i | ||||
\(126\) | −3.52732 | − | 0.805088i | −0.314239 | − | 0.0717230i | ||||
\(127\) | −6.91796 | + | 14.3653i | −0.613870 | + | 1.27471i | 0.329871 | + | 0.944026i | \(0.392995\pi\) |
−0.943740 | + | 0.330687i | \(0.892719\pi\) | |||||||
\(128\) | − | 11.3820i | − | 1.00603i | ||||||
\(129\) | 4.02926 | + | 1.94039i | 0.354756 | + | 0.170842i | ||||
\(130\) | 0.439628 | + | 0.350592i | 0.0385580 | + | 0.0307490i | ||||
\(131\) | 11.2007 | + | 8.93226i | 0.978610 | + | 0.780415i | 0.975594 | − | 0.219580i | \(-0.0704687\pi\) |
0.00301554 | + | 0.999995i | \(0.499040\pi\) | |||||||
\(132\) | 1.24511 | + | 0.599613i | 0.108373 | + | 0.0521896i | ||||
\(133\) | − | 10.8541i | − | 0.941170i | ||||||
\(134\) | −0.409704 | + | 0.850760i | −0.0353931 | + | 0.0734944i | ||||
\(135\) | 13.0465 | + | 2.97777i | 1.12286 | + | 0.256285i | ||||
\(136\) | −8.82803 | + | 4.25136i | −0.756997 | + | 0.364551i | ||||
\(137\) | 3.10049 | + | 6.43823i | 0.264893 | + | 0.550055i | 0.990412 | − | 0.138147i | \(-0.0441146\pi\) |
−0.725519 | + | 0.688202i | \(0.758400\pi\) | |||||||
\(138\) | 0.105060 | + | 0.460299i | 0.00894331 | + | 0.0391832i | ||||
\(139\) | 0.805422 | − | 1.00997i | 0.0683150 | − | 0.0856643i | −0.746500 | − | 0.665386i | \(-0.768267\pi\) |
0.814815 | + | 0.579721i | \(0.196839\pi\) | |||||||
\(140\) | 8.69411 | + | 10.9021i | 0.734787 | + | 0.921393i | ||||
\(141\) | −0.962679 | + | 4.21777i | −0.0810722 | + | 0.355200i | ||||
\(142\) | 6.30987 | − | 1.44019i | 0.529512 | − | 0.120858i | ||||
\(143\) | −0.255063 | + | 0.203406i | −0.0213294 | + | 0.0170097i | ||||
\(144\) | 4.85410 | 0.404508 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −8.47214 | −0.701159 | ||||||||
\(147\) | 0.966397 | − | 0.770676i | 0.0797071 | − | 0.0635643i | ||||
\(148\) | 7.42703 | − | 1.69517i | 0.610498 | − | 0.139342i | ||||
\(149\) | 2.14021 | − | 9.37689i | 0.175333 | − | 0.768185i | −0.808412 | − | 0.588617i | \(-0.799673\pi\) |
0.983746 | − | 0.179568i | \(-0.0574701\pi\) | |||||||
\(150\) | 2.34677 | + | 2.94276i | 0.191613 | + | 0.240275i | ||||
\(151\) | −1.66706 | + | 2.09043i | −0.135664 | + | 0.170117i | −0.845023 | − | 0.534731i | \(-0.820413\pi\) |
0.709359 | + | 0.704847i | \(0.248985\pi\) | |||||||
\(152\) | −2.41526 | − | 10.5820i | −0.195904 | − | 0.858311i | ||||
\(153\) | −4.97757 | − | 10.3360i | −0.402413 | − | 0.835619i | ||||
\(154\) | 1.72070 | − | 0.828644i | 0.138658 | − | 0.0667741i | ||||
\(155\) | 37.9135 | + | 8.65352i | 3.04529 | + | 0.695067i | ||||
\(156\) | 0.102426 | − | 0.212690i | 0.00820065 | − | 0.0170288i | ||||
\(157\) | 14.5623i | 1.16220i | 0.813833 | + | 0.581099i | \(0.197377\pi\) | ||||
−0.813833 | + | 0.581099i | \(0.802623\pi\) | |||||||
\(158\) | −3.39119 | − | 1.63311i | −0.269788 | − | 0.129923i | ||||
\(159\) | −0.966397 | − | 0.770676i | −0.0766403 | − | 0.0611186i | ||||
\(160\) | 16.9286 | + | 13.5001i | 1.33832 | + | 1.06728i | ||||
\(161\) | −2.49022 | − | 1.19923i | −0.196257 | − | 0.0945122i | ||||
\(162\) | − | 3.52786i | − | 0.277175i | ||||||
\(163\) | −2.61825 | + | 5.43684i | −0.205077 | + | 0.425847i | −0.977986 | − | 0.208670i | \(-0.933087\pi\) |
0.772909 | + | 0.634517i | \(0.218801\pi\) | |||||||
\(164\) | −6.07972 | − | 1.38766i | −0.474746 | − | 0.108358i | ||||
\(165\) | −2.96581 | + | 1.42826i | −0.230888 | + | 0.111190i | ||||
\(166\) | −2.66661 | − | 5.53726i | −0.206969 | − | 0.429775i | ||||
\(167\) | 2.34267 | + | 10.2639i | 0.181281 | + | 0.794245i | 0.981022 | + | 0.193899i | \(0.0621134\pi\) |
−0.799740 | + | 0.600346i | \(0.795029\pi\) | |||||||
\(168\) | −1.92669 | + | 2.41599i | −0.148647 | + | 0.186398i | ||||
\(169\) | −8.07062 | − | 10.1202i | −0.620817 | − | 0.778480i | ||||
\(170\) | 2.32261 | − | 10.1760i | 0.178136 | − | 0.780464i | ||||
\(171\) | 12.3896 | − | 2.82784i | 0.947455 | − | 0.216250i | ||||
\(172\) | −9.15384 | + | 7.29995i | −0.697974 | + | 0.556616i | ||||
\(173\) | −4.09017 | −0.310970 | −0.155485 | − | 0.987838i | \(-0.549694\pi\) | ||||
−0.155485 | + | 0.987838i | \(0.549694\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −22.0344 | −1.66565 | ||||||||
\(176\) | −2.00329 | + | 1.59757i | −0.151004 | + | 0.120421i | ||||
\(177\) | 3.66956 | − | 0.837554i | 0.275821 | − | 0.0629544i | ||||
\(178\) | 0.647498 | − | 2.83687i | 0.0485320 | − | 0.212633i | ||||
\(179\) | 9.97584 | + | 12.5093i | 0.745629 | + | 0.934989i | 0.999480 | − | 0.0322542i | \(-0.0102686\pi\) |
−0.253851 | + | 0.967243i | \(0.581697\pi\) | |||||||
\(180\) | −10.1792 | + | 12.7644i | −0.758716 | + | 0.951400i | ||||
\(181\) | −1.32272 | − | 5.79524i | −0.0983174 | − | 0.430757i | 0.901681 | − | 0.432401i | \(-0.142334\pi\) |
−0.999999 | + | 0.00164474i | \(0.999476\pi\) | |||||||
\(182\) | −0.141549 | − | 0.293930i | −0.0104923 | − | 0.0217876i | ||||
\(183\) | 0.344139 | − | 0.165729i | 0.0254395 | − | 0.0122510i | ||||
\(184\) | −2.69463 | − | 0.615033i | −0.198651 | − | 0.0453408i | ||||
\(185\) | −7.87321 | + | 16.3489i | −0.578850 | + | 1.20199i | ||||
\(186\) | 3.85410i | 0.282596i | ||||||||
\(187\) | 5.45602 | + | 2.62748i | 0.398984 | + | 0.192141i | ||||
\(188\) | −8.85521 | − | 7.06179i | −0.645833 | − | 0.515034i | ||||
\(189\) | −6.07009 | − | 4.84073i | −0.441534 | − | 0.352111i | ||||
\(190\) | 10.4173 | + | 5.01670i | 0.755749 | + | 0.363949i | ||||
\(191\) | − | 17.0344i | − | 1.23257i | −0.787524 | − | 0.616284i | \(-0.788637\pi\) | ||
0.787524 | − | 0.616284i | \(-0.211363\pi\) | |||||||
\(192\) | 0.0633028 | − | 0.131450i | 0.00456848 | − | 0.00948656i | ||||
\(193\) | 12.1594 | + | 2.77531i | 0.875255 | + | 0.199771i | 0.636470 | − | 0.771301i | \(-0.280394\pi\) |
0.238785 | + | 0.971072i | \(0.423251\pi\) | |||||||
\(194\) | −1.98360 | + | 0.955250i | −0.142414 | + | 0.0685829i | ||||
\(195\) | 0.243975 | + | 0.506620i | 0.0174714 | + | 0.0362798i | ||||
\(196\) | 0.720093 | + | 3.15493i | 0.0514352 | + | 0.225352i | ||||
\(197\) | −3.92287 | + | 4.91912i | −0.279493 | + | 0.350473i | −0.901687 | − | 0.432390i | \(-0.857670\pi\) |
0.622194 | + | 0.782863i | \(0.286242\pi\) | |||||||
\(198\) | 1.39417 | + | 1.74823i | 0.0990790 | + | 0.124241i | ||||
\(199\) | 1.30266 | − | 5.70733i | 0.0923431 | − | 0.404582i | −0.907538 | − | 0.419969i | \(-0.862041\pi\) |
0.999882 | + | 0.0153872i | \(0.00489810\pi\) | |||||||
\(200\) | −21.4820 | + | 4.90312i | −1.51901 | + | 0.346703i | ||||
\(201\) | −0.738262 | + | 0.588744i | −0.0520730 | + | 0.0415268i | ||||
\(202\) | 0.381966 | 0.0268750 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −4.38197 | −0.306799 | ||||||||
\(205\) | 11.6134 | − | 9.26138i | 0.811115 | − | 0.646843i | ||||
\(206\) | −5.53151 | + | 1.26253i | −0.385398 | + | 0.0879647i | ||||
\(207\) | 0.720093 | − | 3.15493i | 0.0500499 | − | 0.219283i | ||||
\(208\) | 0.272898 | + | 0.342203i | 0.0189221 | + | 0.0237275i | ||||
\(209\) | −4.18250 | + | 5.24469i | −0.289309 | + | 0.362782i | ||||
\(210\) | −0.732494 | − | 3.20926i | −0.0505469 | − | 0.221460i | ||||
\(211\) | 5.05582 | + | 10.4985i | 0.348057 | + | 0.722748i | 0.999349 | − | 0.0360795i | \(-0.0114869\pi\) |
−0.651292 | + | 0.758827i | \(0.725773\pi\) | |||||||
\(212\) | 2.91560 | − | 1.40408i | 0.200244 | − | 0.0964324i | ||||
\(213\) | 6.30987 | + | 1.44019i | 0.432345 | + | 0.0986799i | ||||
\(214\) | −1.81378 | + | 3.76636i | −0.123988 | + | 0.257463i | ||||
\(215\) | − | 27.8885i | − | 1.90198i | ||||||
\(216\) | −6.99506 | − | 3.36864i | −0.475954 | − | 0.229207i | ||||
\(217\) | −17.6399 | − | 14.0674i | −1.19748 | − | 0.954955i | ||||
\(218\) | −6.94934 | − | 5.54192i | −0.470669 | − | 0.375346i | ||||
\(219\) | −7.63313 | − | 3.67592i | −0.515799 | − | 0.248396i | ||||
\(220\) | − | 8.61803i | − | 0.581028i | ||||||
\(221\) | 0.448827 | − | 0.932000i | 0.0301914 | − | 0.0626931i | ||||
\(222\) | −1.75328 | − | 0.400176i | −0.117673 | − | 0.0268580i | ||||
\(223\) | −2.40898 | + | 1.16010i | −0.161317 | + | 0.0776862i | −0.512800 | − | 0.858508i | \(-0.671392\pi\) |
0.351483 | + | 0.936194i | \(0.385677\pi\) | |||||||
\(224\) | −5.45058 | − | 11.3182i | −0.364182 | − | 0.756232i | ||||
\(225\) | −5.74068 | − | 25.1516i | −0.382712 | − | 1.67677i | ||||
\(226\) | 3.06123 | − | 3.83866i | 0.203630 | − | 0.255344i | ||||
\(227\) | −13.0238 | − | 16.3313i | −0.864420 | − | 1.08395i | −0.995703 | − | 0.0926030i | \(-0.970481\pi\) |
0.131284 | − | 0.991345i | \(-0.458090\pi\) | |||||||
\(228\) | 1.08014 | − | 4.73240i | 0.0715340 | − | 0.313411i | ||||
\(229\) | 2.23434 | − | 0.509973i | 0.147649 | − | 0.0336999i | −0.148058 | − | 0.988979i | \(-0.547302\pi\) |
0.295707 | + | 0.955279i | \(0.404445\pi\) | |||||||
\(230\) | 2.30192 | − | 1.83572i | 0.151784 | − | 0.121044i | ||||
\(231\) | 1.90983 | 0.125658 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 15.2361 | 0.998148 | 0.499074 | − | 0.866559i | \(-0.333674\pi\) | ||||
0.499074 | + | 0.866559i | \(0.333674\pi\) | |||||||
\(234\) | 0.298633 | − | 0.238152i | 0.0195223 | − | 0.0155685i | ||||
\(235\) | 26.3023 | − | 6.00333i | 1.71577 | − | 0.391614i | ||||
\(236\) | −2.19274 | + | 9.60704i | −0.142735 | + | 0.625365i | ||||
\(237\) | −2.34677 | − | 2.94276i | −0.152439 | − | 0.191153i | ||||
\(238\) | −3.77568 | + | 4.73456i | −0.244741 | + | 0.306896i | ||||
\(239\) | 6.17332 | + | 27.0471i | 0.399319 | + | 1.74953i | 0.630090 | + | 0.776522i | \(0.283018\pi\) |
−0.230771 | + | 0.973008i | \(0.574125\pi\) | |||||||
\(240\) | 1.91621 | + | 3.97905i | 0.123691 | + | 0.256846i | ||||
\(241\) | −4.19174 | + | 2.01863i | −0.270013 | + | 0.130032i | −0.563992 | − | 0.825781i | \(-0.690735\pi\) |
0.293978 | + | 0.955812i | \(0.405021\pi\) | |||||||
\(242\) | 5.47718 | + | 1.25013i | 0.352086 | + | 0.0803614i | ||||
\(243\) | 6.05019 | − | 12.5634i | 0.388120 | − | 0.805940i | ||||
\(244\) | 1.00000i | 0.0640184i | ||||||||
\(245\) | −6.94485 | − | 3.34446i | −0.443690 | − | 0.213670i | ||||
\(246\) | 1.15096 | + | 0.917862i | 0.0733827 | + | 0.0585207i | ||||
\(247\) | 0.895899 | + | 0.714456i | 0.0570047 | + | 0.0454597i | ||||
\(248\) | −20.3279 | − | 9.78942i | −1.29083 | − | 0.621629i | ||||
\(249\) | − | 6.14590i | − | 0.389480i | ||||||
\(250\) | 5.01670 | − | 10.4173i | 0.317284 | − | 0.658846i | ||||
\(251\) | −19.1597 | − | 4.37309i | −1.20935 | − | 0.276027i | −0.430126 | − | 0.902769i | \(-0.641531\pi\) |
−0.779227 | + | 0.626742i | \(0.784388\pi\) | |||||||
\(252\) | 8.53410 | − | 4.10981i | 0.537598 | − | 0.258893i | ||||
\(253\) | 0.741162 | + | 1.53904i | 0.0465965 | + | 0.0967585i | ||||
\(254\) | 2.19274 | + | 9.60704i | 0.137585 | + | 0.602799i | ||||
\(255\) | 6.50780 | − | 8.16052i | 0.407534 | − | 0.511031i | ||||
\(256\) | −4.09153 | − | 5.13062i | −0.255721 | − | 0.320664i | ||||
\(257\) | 5.15811 | − | 22.5992i | 0.321754 | − | 1.40970i | −0.512676 | − | 0.858582i | \(-0.671346\pi\) |
0.834430 | − | 0.551114i | \(-0.185797\pi\) | |||||||
\(258\) | 2.69463 | − | 0.615033i | 0.167761 | − | 0.0382903i | ||||
\(259\) | 8.23102 | − | 6.56402i | 0.511450 | − | 0.407868i | ||||
\(260\) | −1.47214 | −0.0912980 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 8.85410 | 0.547008 | ||||||||
\(263\) | −13.0630 | + | 10.4174i | −0.805499 | + | 0.642364i | −0.937148 | − | 0.348932i | \(-0.886544\pi\) |
0.131649 | + | 0.991296i | \(0.457973\pi\) | |||||||
\(264\) | 1.86195 | − | 0.424977i | 0.114595 | − | 0.0261555i | ||||
\(265\) | −1.71524 | + | 7.51494i | −0.105366 | + | 0.461639i | ||||
\(266\) | −4.18250 | − | 5.24469i | −0.256445 | − | 0.321572i | ||||
\(267\) | 1.81425 | − | 2.27500i | 0.111030 | − | 0.139228i | ||||
\(268\) | −0.550102 | − | 2.41015i | −0.0336028 | − | 0.147224i | ||||
\(269\) | 2.60330 | + | 5.40581i | 0.158726 | + | 0.329598i | 0.965132 | − | 0.261765i | \(-0.0843044\pi\) |
−0.806406 | + | 0.591363i | \(0.798590\pi\) | |||||||
\(270\) | 7.45147 | − | 3.58844i | 0.453482 | − | 0.218385i | ||||
\(271\) | −9.92510 | − | 2.26534i | −0.602907 | − | 0.137610i | −0.0898370 | − | 0.995956i | \(-0.528635\pi\) |
−0.513070 | + | 0.858347i | \(0.671492\pi\) | |||||||
\(272\) | 3.52514 | − | 7.32002i | 0.213743 | − | 0.443842i | ||||
\(273\) | − | 0.326238i | − | 0.0197448i | ||||||
\(274\) | 3.97905 | + | 1.91621i | 0.240383 | + | 0.115762i | ||||
\(275\) | 10.6470 | + | 8.49071i | 0.642039 | + | 0.512009i | ||||
\(276\) | −0.966397 | − | 0.770676i | −0.0581703 | − | 0.0463892i | ||||
\(277\) | 19.2645 | + | 9.27729i | 1.15749 | + | 0.557418i | 0.911276 | − | 0.411797i | \(-0.135099\pi\) |
0.246215 | + | 0.969215i | \(0.420813\pi\) | |||||||
\(278\) | − | 0.798374i | − | 0.0478833i | ||||||
\(279\) | 11.4616 | − | 23.8004i | 0.686191 | − | 1.42489i | ||||
\(280\) | 18.7874 | + | 4.28809i | 1.12276 | + | 0.256263i | ||||
\(281\) | −20.8346 | + | 10.0334i | −1.24289 | + | 0.598542i | −0.935595 | − | 0.353074i | \(-0.885136\pi\) |
−0.307290 | + | 0.951616i | \(0.599422\pi\) | |||||||
\(282\) | 1.16010 | + | 2.40898i | 0.0690831 | + | 0.143452i | ||||
\(283\) | −1.16513 | − | 5.10479i | −0.0692601 | − | 0.303448i | 0.928419 | − | 0.371534i | \(-0.121168\pi\) |
−0.997679 | + | 0.0680857i | \(0.978311\pi\) | |||||||
\(284\) | −10.5646 | + | 13.2476i | −0.626893 | + | 0.786098i | ||||
\(285\) | 7.20898 | + | 9.03977i | 0.427023 | + | 0.535470i | ||||
\(286\) | −0.0448660 | + | 0.196571i | −0.00265298 | + | 0.0116235i | ||||
\(287\) | −8.40196 | + | 1.91769i | −0.495952 | + | 0.113198i | ||||
\(288\) | 11.4993 | − | 9.17042i | 0.677605 | − | 0.540372i | ||||
\(289\) | −2.20163 | −0.129507 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −2.20163 | −0.129062 | ||||||||
\(292\) | 17.3413 | − | 13.8292i | 1.01482 | − | 0.809294i | ||||
\(293\) | −8.31405 | + | 1.89763i | −0.485712 | + | 0.110861i | −0.458363 | − | 0.888765i | \(-0.651564\pi\) |
−0.0273496 | + | 0.999626i | \(0.508707\pi\) | |||||||
\(294\) | 0.169991 | − | 0.744779i | 0.00991407 | − | 0.0434364i | ||||
\(295\) | −14.6346 | − | 18.3513i | −0.852062 | − | 1.06845i | ||||
\(296\) | 6.56402 | − | 8.23102i | 0.381526 | − | 0.478418i | ||||
\(297\) | 1.06774 | + | 4.67807i | 0.0619565 | + | 0.271449i | ||||
\(298\) | −2.57912 | − | 5.35560i | −0.149405 | − | 0.310242i | ||||
\(299\) | 0.262899 | − | 0.126606i | 0.0152039 | − | 0.00732179i | ||||
\(300\) | −9.60704 | − | 2.19274i | −0.554663 | − | 0.126598i | ||||
\(301\) | −7.02039 | + | 14.5780i | −0.404648 | + | 0.840261i | ||||
\(302\) | 1.65248i | 0.0950893i | ||||||||
\(303\) | 0.344139 | + | 0.165729i | 0.0197703 | + | 0.00952087i | ||||
\(304\) | 7.03648 | + | 5.61141i | 0.403570 | + | 0.321836i | ||||
\(305\) | −1.86230 | − | 1.48513i | −0.106635 | − | 0.0850384i | ||||
\(306\) | −6.38802 | − | 3.07631i | −0.365179 | − | 0.175861i | ||||
\(307\) | 19.1803i | 1.09468i | 0.836910 | + | 0.547340i | \(0.184360\pi\) | ||||
−0.836910 | + | 0.547340i | \(0.815640\pi\) | |||||||
\(308\) | −2.16942 | + | 4.50484i | −0.123614 | + | 0.256687i | ||||
\(309\) | −5.53151 | − | 1.26253i | −0.314677 | − | 0.0718229i | ||||
\(310\) | 21.6543 | − | 10.4282i | 1.22988 | − | 0.592279i | ||||
\(311\) | 0.906891 | + | 1.88318i | 0.0514251 | + | 0.106785i | 0.925098 | − | 0.379729i | \(-0.123983\pi\) |
−0.873673 | + | 0.486514i | \(0.838268\pi\) | |||||||
\(312\) | −0.0725948 | − | 0.318058i | −0.00410987 | − | 0.0180065i | ||||
\(313\) | −8.04915 | + | 10.0933i | −0.454965 | + | 0.570508i | −0.955418 | − | 0.295256i | \(-0.904595\pi\) |
0.500454 | + | 0.865763i | \(0.333167\pi\) | |||||||
\(314\) | 5.61141 | + | 7.03648i | 0.316670 | + | 0.397092i | ||||
\(315\) | −5.02059 | + | 21.9966i | −0.282878 | + | 1.23937i | ||||
\(316\) | 9.60704 | − | 2.19274i | 0.540438 | − | 0.123351i | ||||
\(317\) | −21.6631 | + | 17.2758i | −1.21672 | + | 0.970305i | −0.999982 | − | 0.00592451i | \(-0.998114\pi\) |
−0.216741 | + | 0.976229i | \(0.569543\pi\) | |||||||
\(318\) | −0.763932 | −0.0428392 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −0.909830 | −0.0508610 | ||||||||
\(321\) | −3.26832 | + | 2.60640i | −0.182420 | + | 0.145475i | ||||
\(322\) | −1.66538 | + | 0.380111i | −0.0928078 | + | 0.0211828i | ||||
\(323\) | 4.73313 | − | 20.7372i | 0.263359 | − | 1.15385i | ||||
\(324\) | 5.75859 | + | 7.22105i | 0.319922 | + | 0.401169i | ||||
\(325\) | 1.45039 | − | 1.81873i | 0.0804529 | − | 0.100885i | ||||
\(326\) | 0.829890 | + | 3.63598i | 0.0459633 | + | 0.201379i | ||||
\(327\) | −3.85659 | − | 8.00830i | −0.213270 | − | 0.442860i | ||||
\(328\) | −7.76458 | + | 3.73922i | −0.428727 | + | 0.206464i | ||||
\(329\) | −15.2600 | − | 3.48300i | −0.841313 | − | 0.192024i | ||||
\(330\) | −0.882711 | + | 1.83297i | −0.0485917 | + | 0.100902i | ||||
\(331\) | 21.1803i | 1.16418i | 0.813126 | + | 0.582088i | \(0.197764\pi\) | ||||
−0.813126 | + | 0.582088i | \(0.802236\pi\) | |||||||
\(332\) | 14.4967 | + | 6.98126i | 0.795612 | + | 0.383147i | ||||
\(333\) | 9.63704 | + | 7.68528i | 0.528107 | + | 0.421151i | ||||
\(334\) | 5.08705 | + | 4.05678i | 0.278351 | + | 0.221977i | ||||
\(335\) | 5.30539 | + | 2.55494i | 0.289865 | + | 0.139591i | ||||
\(336\) | − | 2.56231i | − | 0.139785i | ||||||
\(337\) | −14.7819 | + | 30.6950i | −0.805223 | + | 1.67206i | −0.0667606 | + | 0.997769i | \(0.521266\pi\) |
−0.738463 | + | 0.674294i | \(0.764448\pi\) | |||||||
\(338\) | −7.79942 | − | 1.78017i | −0.424233 | − | 0.0968283i | ||||
\(339\) | 4.42360 | − | 2.13030i | 0.240257 | − | 0.115702i | ||||
\(340\) | 11.8564 | + | 24.6201i | 0.643004 | + | 1.33521i | ||||
\(341\) | 3.10289 | + | 13.5947i | 0.168031 | + | 0.736192i | ||||
\(342\) | 4.89695 | − | 6.14058i | 0.264797 | − | 0.332045i | ||||
\(343\) | 12.5475 | + | 15.7341i | 0.677501 | + | 0.849559i | ||||
\(344\) | −3.60046 | + | 15.7747i | −0.194124 | + | 0.850513i | ||||
\(345\) | 2.87045 | − | 0.655162i | 0.154540 | − | 0.0352727i | ||||
\(346\) | −1.97636 | + | 1.57610i | −0.106250 | + | 0.0847315i | ||||
\(347\) | 32.1246 | 1.72454 | 0.862270 | − | 0.506449i | \(-0.169042\pi\) | ||||
0.862270 | + | 0.506449i | \(0.169042\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.52786 | 0.242371 | 0.121186 | − | 0.992630i | \(-0.461330\pi\) | ||||
0.121186 | + | 0.992630i | \(0.461330\pi\) | |||||||
\(350\) | −10.6470 | + | 8.49071i | −0.569107 | + | 0.453847i | ||||
\(351\) | 0.799110 | − | 0.182392i | 0.0426533 | − | 0.00973534i | ||||
\(352\) | −1.72764 | + | 7.56927i | −0.0920834 | + | 0.403444i | ||||
\(353\) | 11.9240 | + | 14.9522i | 0.634651 | + | 0.795827i | 0.990323 | − | 0.138784i | \(-0.0443194\pi\) |
−0.355672 | + | 0.934611i | \(0.615748\pi\) | |||||||
\(354\) | 1.45039 | − | 1.81873i | 0.0770871 | − | 0.0966642i | ||||
\(355\) | −8.98110 | − | 39.3488i | −0.476667 | − | 2.08841i | ||||
\(356\) | 3.30534 | + | 6.86361i | 0.175183 | + | 0.363771i | ||||
\(357\) | −5.45602 | + | 2.62748i | −0.288763 | + | 0.139061i | ||||
\(358\) | 9.64062 | + | 2.20041i | 0.509522 | + | 0.116295i | ||||
\(359\) | 10.3108 | − | 21.4106i | 0.544182 | − | 1.13001i | −0.429704 | − | 0.902970i | \(-0.641382\pi\) |
0.973886 | − | 0.227036i | \(-0.0729037\pi\) | |||||||
\(360\) | 22.5623i | 1.18914i | ||||||||
\(361\) | 4.11050 | + | 1.97951i | 0.216342 | + | 0.104185i | ||||
\(362\) | −2.87226 | − | 2.29055i | −0.150963 | − | 0.120389i | ||||
\(363\) | 4.39236 | + | 3.50279i | 0.230539 | + | 0.183849i | ||||
\(364\) | 0.769519 | + | 0.370581i | 0.0403338 | + | 0.0194237i | ||||
\(365\) | 52.8328i | 2.76540i | ||||||||
\(366\) | 0.102426 | − | 0.212690i | 0.00535390 | − | 0.0111175i | ||||
\(367\) | 26.5868 | + | 6.06826i | 1.38782 | + | 0.316761i | 0.850214 | − | 0.526437i | \(-0.176472\pi\) |
0.537604 | + | 0.843197i | \(0.319329\pi\) | |||||||
\(368\) | 2.06484 | − | 0.994373i | 0.107637 | − | 0.0518353i | ||||
\(369\) | −4.37796 | − | 9.09093i | −0.227908 | − | 0.473255i | ||||
\(370\) | 2.49552 | + | 10.9336i | 0.129736 | + | 0.568411i | ||||
\(371\) | 2.78833 | − | 3.49646i | 0.144763 | − | 0.181527i | ||||
\(372\) | −6.29112 | − | 7.88881i | −0.326179 | − | 0.409016i | ||||
\(373\) | −4.58794 | + | 20.1011i | −0.237555 | + | 1.04080i | 0.705644 | + | 0.708566i | \(0.250658\pi\) |
−0.943199 | + | 0.332229i | \(0.892199\pi\) | |||||||
\(374\) | 3.64881 | − | 0.832817i | 0.188675 | − | 0.0430639i | ||||
\(375\) | 9.03977 | − | 7.20898i | 0.466812 | − | 0.372270i | ||||
\(376\) | −15.6525 | −0.807215 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −4.79837 | −0.246802 | ||||||||
\(379\) | −18.9921 | + | 15.1457i | −0.975558 | + | 0.777982i | −0.975043 | − | 0.222018i | \(-0.928736\pi\) |
−0.000515656 | 1.00000i | \(0.500164\pi\) | ||||||||
\(380\) | −29.5116 | + | 6.73582i | −1.51391 | + | 0.345540i | ||||
\(381\) | −2.19274 | + | 9.60704i | −0.112338 | + | 0.492184i | ||||
\(382\) | −6.56402 | − | 8.23102i | −0.335844 | − | 0.421135i | ||||
\(383\) | 17.9902 | − | 22.5590i | 0.919258 | − | 1.15271i | −0.0686449 | − | 0.997641i | \(-0.521868\pi\) |
0.987903 | − | 0.155072i | \(-0.0495610\pi\) | |||||||
\(384\) | −1.56531 | − | 6.85807i | −0.0798794 | − | 0.349975i | ||||
\(385\) | −5.16748 | − | 10.7304i | −0.263359 | − | 0.546871i | ||||
\(386\) | 6.94485 | − | 3.34446i | 0.353484 | − | 0.170229i | ||||
\(387\) | −18.4693 | − | 4.21550i | −0.938847 | − | 0.214286i | ||||
\(388\) | 2.50088 | − | 5.19312i | 0.126963 | − | 0.263641i | ||||
\(389\) | − | 19.1246i | − | 0.969656i | −0.874609 | − | 0.484828i | \(-0.838882\pi\) | ||
0.874609 | − | 0.484828i | \(-0.161118\pi\) | |||||||
\(390\) | 0.313108 | + | 0.150785i | 0.0158549 | + | 0.00763530i | ||||
\(391\) | −4.23472 | − | 3.37708i | −0.214159 | − | 0.170786i | ||||
\(392\) | 3.49646 | + | 2.78833i | 0.176598 | + | 0.140832i | ||||
\(393\) | 7.97727 | + | 3.84165i | 0.402400 | + | 0.193786i | ||||
\(394\) | 3.88854i | 0.195902i | ||||||||
\(395\) | −10.1842 | + | 21.1477i | −0.512422 | + | 1.06405i | ||||
\(396\) | −5.70733 | − | 1.30266i | −0.286804 | − | 0.0654611i | ||||
\(397\) | 12.6638 | − | 6.09855i | 0.635577 | − | 0.306078i | −0.0882095 | − | 0.996102i | \(-0.528115\pi\) |
0.723786 | + | 0.690024i | \(0.242400\pi\) | |||||||
\(398\) | −1.56981 | − | 3.25974i | −0.0786873 | − | 0.163396i | ||||
\(399\) | −1.49272 | − | 6.54002i | −0.0747293 | − | 0.327410i | ||||
\(400\) | 11.3915 | − | 14.2845i | 0.569574 | − | 0.714223i | ||||
\(401\) | 15.6302 | + | 19.5996i | 0.780535 | + | 0.978759i | 0.999995 | + | 0.00313805i | \(0.000998873\pi\) |
−0.219460 | + | 0.975621i | \(0.570430\pi\) | |||||||
\(402\) | −0.129861 | + | 0.568960i | −0.00647690 | + | 0.0283772i | ||||
\(403\) | 2.32225 | − | 0.530037i | 0.115679 | − | 0.0264030i | ||||
\(404\) | −0.781831 | + | 0.623490i | −0.0388976 | + | 0.0310198i | ||||
\(405\) | −22.0000 | −1.09319 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −6.50658 | −0.322519 | ||||||||
\(408\) | −4.73456 | + | 3.77568i | −0.234396 | + | 0.186924i | ||||
\(409\) | −26.7290 | + | 6.10072i | −1.32167 | + | 0.301661i | −0.824435 | − | 0.565957i | \(-0.808507\pi\) |
−0.497230 | + | 0.867619i | \(0.665650\pi\) | |||||||
\(410\) | 2.04282 | − | 8.95017i | 0.100888 | − | 0.442017i | ||||
\(411\) | 2.75359 | + | 3.45289i | 0.135824 | + | 0.170318i | ||||
\(412\) | 9.26138 | − | 11.6134i | 0.456275 | − | 0.572151i | ||||
\(413\) | 3.03030 | + | 13.2766i | 0.149111 | + | 0.653299i | ||||
\(414\) | −0.867767 | − | 1.80194i | −0.0426484 | − | 0.0885604i | ||||
\(415\) | −34.5307 | + | 16.6291i | −1.69505 | + | 0.816292i | ||||
\(416\) | 1.29299 | + | 0.295116i | 0.0633939 | + | 0.0144692i | ||||
\(417\) | 0.346401 | − | 0.719310i | 0.0169634 | − | 0.0352248i | ||||
\(418\) | 4.14590i | 0.202783i | ||||||||
\(419\) | −15.8231 | − | 7.62000i | −0.773009 | − | 0.372261i | 0.00542744 | − | 0.999985i | \(-0.498272\pi\) |
−0.778436 | + | 0.627724i | \(0.783987\pi\) | |||||||
\(420\) | 6.73785 | + | 5.37326i | 0.328773 | + | 0.262188i | ||||
\(421\) | −24.2637 | − | 19.3497i | −1.18254 | − | 0.943045i | −0.183341 | − | 0.983049i | \(-0.558691\pi\) |
−0.999199 | + | 0.0400047i | \(0.987263\pi\) | |||||||
\(422\) | 6.48844 | + | 3.12467i | 0.315852 | + | 0.152106i | ||||
\(423\) | − | 18.3262i | − | 0.891052i | ||||||
\(424\) | 1.94039 | − | 4.02926i | 0.0942335 | − | 0.195678i | ||||
\(425\) | −42.0977 | − | 9.60853i | −2.04204 | − | 0.466082i | ||||
\(426\) | 3.60388 | − | 1.73553i | 0.174608 | − | 0.0840869i | ||||
\(427\) | 0.599613 | + | 1.24511i | 0.0290173 | + | 0.0602550i | ||||
\(428\) | −2.43533 | − | 10.6699i | −0.117716 | − | 0.515748i | ||||
\(429\) | −0.125712 | + | 0.157638i | −0.00606942 | + | 0.00761082i | ||||
\(430\) | −10.7465 | − | 13.4757i | −0.518243 | − | 0.649856i | ||||
\(431\) | −3.24808 | + | 14.2308i | −0.156455 | + | 0.685472i | 0.834470 | + | 0.551053i | \(0.185774\pi\) |
−0.990925 | + | 0.134419i | \(0.957083\pi\) | |||||||
\(432\) | 6.27629 | − | 1.43252i | 0.301968 | − | 0.0689222i | ||||
\(433\) | −8.11695 | + | 6.47305i | −0.390076 | + | 0.311075i | −0.798816 | − | 0.601576i | \(-0.794540\pi\) |
0.408740 | + | 0.912651i | \(0.365968\pi\) | |||||||
\(434\) | −13.9443 | −0.669346 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 23.2705 | 1.11446 | ||||||||
\(437\) | 4.69099 | − | 3.74094i | 0.224400 | − | 0.178953i | ||||
\(438\) | −5.10479 | + | 1.16513i | −0.243916 | + | 0.0556723i | ||||
\(439\) | −4.66054 | + | 20.4192i | −0.222435 | + | 0.974553i | 0.733203 | + | 0.680010i | \(0.238025\pi\) |
−0.955638 | + | 0.294543i | \(0.904833\pi\) | |||||||
\(440\) | −7.42566 | − | 9.31148i | −0.354004 | − | 0.443907i | ||||
\(441\) | −3.26463 | + | 4.09372i | −0.155459 | + | 0.194939i | ||||
\(442\) | −0.142262 | − | 0.623291i | −0.00676672 | − | 0.0296469i | ||||
\(443\) | 0.828644 | + | 1.72070i | 0.0393701 | + | 0.0817528i | 0.919726 | − | 0.392561i | \(-0.128411\pi\) |
−0.880356 | + | 0.474313i | \(0.842696\pi\) | |||||||
\(444\) | 4.24195 | − | 2.04281i | 0.201314 | − | 0.0969476i | ||||
\(445\) | −17.6909 | − | 4.03784i | −0.838631 | − | 0.191412i | ||||
\(446\) | −0.716982 | + | 1.48883i | −0.0339501 | + | 0.0704981i | ||||
\(447\) | − | 5.94427i | − | 0.281154i | ||||||
\(448\) | 0.475589 | + | 0.229032i | 0.0224695 | + | 0.0108207i | ||||
\(449\) | 20.4250 | + | 16.2884i | 0.963917 | + | 0.768698i | 0.972892 | − | 0.231261i | \(-0.0742852\pi\) |
−0.00897427 | + | 0.999960i | \(0.502857\pi\) | |||||||
\(450\) | −12.4657 | − | 9.94109i | −0.587640 | − | 0.468628i | ||||
\(451\) | 4.79877 | + | 2.31097i | 0.225965 | + | 0.108819i | ||||
\(452\) | 12.8541i | 0.604606i | ||||||||
\(453\) | −0.716982 | + | 1.48883i | −0.0336868 | + | 0.0699513i | ||||
\(454\) | −12.5862 | − | 2.87271i | −0.590697 | − | 0.134823i | ||||
\(455\) | −1.83297 | + | 0.882711i | −0.0859309 | + | 0.0413821i | ||||
\(456\) | −2.91058 | − | 6.04388i | −0.136300 | − | 0.283031i | ||||
\(457\) | 4.16297 | + | 18.2392i | 0.194735 | + | 0.853191i | 0.974009 | + | 0.226508i | \(0.0727309\pi\) |
−0.779274 | + | 0.626683i | \(0.784412\pi\) | |||||||
\(458\) | 0.883116 | − | 1.10739i | 0.0412653 | − | 0.0517450i | ||||
\(459\) | −9.48626 | − | 11.8954i | −0.442781 | − | 0.555230i | ||||
\(460\) | −1.71524 | + | 7.51494i | −0.0799733 | + | 0.350386i | ||||
\(461\) | −38.0014 | + | 8.67358i | −1.76990 | + | 0.403969i | −0.978321 | − | 0.207094i | \(-0.933599\pi\) |
−0.791582 | + | 0.611063i | \(0.790742\pi\) | |||||||
\(462\) | 0.922827 | − | 0.735930i | 0.0429338 | − | 0.0342386i | ||||
\(463\) | −10.7082 | −0.497652 | −0.248826 | − | 0.968548i | \(-0.580045\pi\) | ||||
−0.248826 | + | 0.968548i | \(0.580045\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 24.0344 | 1.11457 | ||||||||
\(466\) | 7.36204 | − | 5.87103i | 0.341040 | − | 0.271970i | ||||
\(467\) | 17.4944 | − | 3.99298i | 0.809543 | − | 0.184773i | 0.202336 | − | 0.979316i | \(-0.435147\pi\) |
0.607207 | + | 0.794543i | \(0.292290\pi\) | |||||||
\(468\) | −0.222521 | + | 0.974928i | −0.0102860 | + | 0.0450661i | ||||
\(469\) | −2.13010 | − | 2.67106i | −0.0983587 | − | 0.123338i | ||||
\(470\) | 10.3959 | − | 13.0361i | 0.479528 | − | 0.601309i | ||||
\(471\) | 2.00269 | + | 8.77435i | 0.0922790 | + | 0.404301i | ||||
\(472\) | 5.90864 | + | 12.2694i | 0.271967 | + | 0.564746i | ||||
\(473\) | 9.00969 | − | 4.33884i | 0.414266 | − | 0.199500i | ||||
\(474\) | −2.26791 | − | 0.517637i | −0.104169 | − | 0.0237758i | ||||
\(475\) | 20.7539 | − | 43.0959i | 0.952253 | − | 1.97737i | ||||
\(476\) | − | 15.8541i | − | 0.726672i | ||||||
\(477\) | 4.71753 | + | 2.27184i | 0.216001 | + | 0.104021i | ||||
\(478\) | 13.4052 | + | 10.6903i | 0.613140 | + | 0.488963i | ||||
\(479\) | −8.74114 | − | 6.97083i | −0.399393 | − | 0.318505i | 0.403112 | − | 0.915151i | \(-0.367928\pi\) |
−0.802505 | + | 0.596645i | \(0.796500\pi\) | |||||||
\(480\) | 12.0567 | + | 5.80622i | 0.550312 | + | 0.265016i | ||||
\(481\) | 1.11146i | 0.0506780i | ||||||||
\(482\) | −1.24758 | + | 2.59064i | −0.0568259 | + | 0.118000i | ||||
\(483\) | −1.66538 | − | 0.380111i | −0.0757772 | − | 0.0172957i | ||||
\(484\) | −13.2516 | + | 6.38165i | −0.602347 | + | 0.290075i | ||||
\(485\) | 5.95700 | + | 12.3698i | 0.270494 | + | 0.561686i | ||||
\(486\) | −1.91769 | − | 8.40196i | −0.0869883 | − | 0.381121i | ||||
\(487\) | 26.5372 | − | 33.2766i | 1.20251 | − | 1.50790i | 0.394335 | − | 0.918967i | \(-0.370975\pi\) |
0.808178 | − | 0.588938i | \(-0.200454\pi\) | |||||||
\(488\) | 0.861642 | + | 1.08046i | 0.0390047 | + | 0.0489103i | ||||
\(489\) | −0.829890 | + | 3.63598i | −0.0375289 | + | 0.164425i | ||||
\(490\) | −4.64449 | + | 1.06007i | −0.209817 | + | 0.0478893i | ||||
\(491\) | 11.8249 | − | 9.43004i | 0.533650 | − | 0.425572i | −0.319231 | − | 0.947677i | \(-0.603425\pi\) |
0.852881 | + | 0.522105i | \(0.174853\pi\) | |||||||
\(492\) | −3.85410 | −0.173756 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0.708204 | 0.0318636 | ||||||||
\(495\) | 10.9021 | − | 8.69411i | 0.490012 | − | 0.390771i | ||||
\(496\) | 18.2392 | − | 4.16297i | 0.818962 | − | 0.186923i | ||||
\(497\) | −5.21064 | + | 22.8293i | −0.233729 | + | 1.02403i | ||||
\(498\) | −2.36825 | − | 2.96969i | −0.106124 | − | 0.133075i | ||||
\(499\) | −15.3920 | + | 19.3010i | −0.689042 | + | 0.864032i | −0.996152 | − | 0.0876423i | \(-0.972067\pi\) |
0.307110 | + | 0.951674i | \(0.400638\pi\) | |||||||
\(500\) | 6.73582 | + | 29.5116i | 0.301235 | + | 1.31980i | ||||
\(501\) | 2.82310 | + | 5.86222i | 0.126127 | + | 0.261905i | ||||
\(502\) | −10.9431 | + | 5.26991i | −0.488413 | + | 0.235207i | ||||
\(503\) | −13.9127 | − | 3.17549i | −0.620337 | − | 0.141588i | −0.0992095 | − | 0.995067i | \(-0.531631\pi\) |
−0.521128 | + | 0.853479i | \(0.674489\pi\) | |||||||
\(504\) | 5.67961 | − | 11.7938i | 0.252990 | − | 0.525339i | ||||
\(505\) | − | 2.38197i | − | 0.105996i | ||||||
\(506\) | 0.951178 | + | 0.458063i | 0.0422850 | + | 0.0203634i | ||||
\(507\) | −6.25465 | − | 4.98792i | −0.277779 | − | 0.221521i | ||||
\(508\) | −20.1700 | − | 16.0850i | −0.894898 | − | 0.713657i | ||||
\(509\) | −28.4367 | − | 13.6944i | −1.26043 | − | 0.606992i | −0.320143 | − | 0.947369i | \(-0.603731\pi\) |
−0.940289 | + | 0.340377i | \(0.889445\pi\) | |||||||
\(510\) | − | 6.45085i | − | 0.285648i | ||||||
\(511\) | 13.2996 | − | 27.6169i | 0.588340 | − | 1.22170i | ||||
\(512\) | 18.2392 | + | 4.16297i | 0.806064 | + | 0.183979i | ||||
\(513\) | 15.1850 | − | 7.31272i | 0.670435 | − | 0.322865i | ||||
\(514\) | −6.21592 | − | 12.9075i | −0.274173 | − | 0.569325i | ||||
\(515\) | 7.87323 | + | 34.4949i | 0.346936 | + | 1.52003i | ||||
\(516\) | −4.51161 | + | 5.65739i | −0.198613 | + | 0.249053i | ||||
\(517\) | 6.03149 | + | 7.56325i | 0.265265 | + | 0.332631i | ||||
\(518\) | 1.44785 | − | 6.34344i | 0.0636149 | − | 0.278715i | ||||
\(519\) | −2.46449 | + | 0.562503i | −0.108179 | + | 0.0246911i | ||||
\(520\) | −1.59059 | + | 1.26845i | −0.0697520 | + | 0.0556254i | ||||
\(521\) | −4.09017 | −0.179194 | −0.0895968 | − | 0.995978i | \(-0.528558\pi\) | ||||
−0.0895968 | + | 0.995978i | \(0.528558\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −20.3820 | −0.891241 | −0.445621 | − | 0.895222i | \(-0.647017\pi\) | ||||
−0.445621 | + | 0.895222i | \(0.647017\pi\) | |||||||
\(524\) | −18.1231 | + | 14.4527i | −0.791712 | + | 0.631369i | ||||
\(525\) | −13.2766 | + | 3.03030i | −0.579438 | + | 0.132253i | ||||
\(526\) | −2.29780 | + | 10.0673i | −0.100189 | + | 0.438957i | ||||
\(527\) | −27.5675 | − | 34.5685i | −1.20086 | − | 1.50583i | ||||
\(528\) | −0.987354 | + | 1.23810i | −0.0429690 | + | 0.0538815i | ||||
\(529\) | 4.77800 | + | 20.9338i | 0.207739 | + | 0.910165i | ||||
\(530\) | 2.06699 | + | 4.29215i | 0.0897844 | + | 0.186439i | ||||
\(531\) | −14.3653 | + | 6.91796i | −0.623401 | + | 0.300214i | ||||
\(532\) | 17.1220 | + | 3.90798i | 0.742332 | + | 0.169432i | ||||
\(533\) | 0.394760 | − | 0.819729i | 0.0170990 | − | 0.0355064i | ||||
\(534\) | − | 1.79837i | − | 0.0778232i | ||||||
\(535\) | 23.4873 | + | 11.3109i | 1.01544 | + | 0.489011i | ||||
\(536\) | −2.67106 | − | 2.13010i | −0.115372 | − | 0.0920061i | ||||
\(537\) | 7.73117 | + | 6.16541i | 0.333625 | + | 0.266057i | ||||
\(538\) | 3.34098 | + | 1.60893i | 0.144040 | + | 0.0693659i | ||||
\(539\) | − | 2.76393i | − | 0.119051i | ||||||
\(540\) | −9.39466 | + | 19.5082i | −0.404282 | + | 0.839500i | ||||
\(541\) | −14.2308 | − | 3.24808i | −0.611829 | − | 0.139646i | −0.0946319 | − | 0.995512i | \(-0.530167\pi\) |
−0.517197 | + | 0.855866i | \(0.673025\pi\) | |||||||
\(542\) | −5.66871 | + | 2.72991i | −0.243492 | + | 0.117260i | ||||
\(543\) | −1.59399 | − | 3.30995i | −0.0684045 | − | 0.142043i | ||||
\(544\) | −5.47803 | − | 24.0008i | −0.234869 | − | 1.02903i | ||||
\(545\) | −34.5598 | + | 43.3366i | −1.48038 | + | 1.85634i | ||||
\(546\) | −0.125712 | − | 0.157638i | −0.00537997 | − | 0.00674627i | ||||
\(547\) | −1.64264 | + | 7.19688i | −0.0702343 | + | 0.307717i | −0.997828 | − | 0.0658742i | \(-0.979016\pi\) |
0.927594 | + | 0.373591i | \(0.121874\pi\) | |||||||
\(548\) | −11.2724 | + | 2.57286i | −0.481534 | + | 0.109907i | ||||
\(549\) | −1.26503 | + | 1.00883i | −0.0539902 | + | 0.0430557i | ||||
\(550\) | 8.41641 | 0.358877 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −1.70820 | −0.0727060 | ||||||||
\(553\) | 10.6470 | − | 8.49071i | 0.452757 | − | 0.361062i | ||||
\(554\) | 12.8835 | − | 2.94057i | 0.547366 | − | 0.124933i | ||||
\(555\) | −2.49552 | + | 10.9336i | −0.105929 | + | 0.464106i | ||||
\(556\) | 1.30320 | + | 1.63416i | 0.0552680 | + | 0.0693038i | ||||
\(557\) | 3.43330 | − | 4.30522i | 0.145473 | − | 0.182418i | −0.703756 | − | 0.710441i | \(-0.748495\pi\) |
0.849230 | + | 0.528024i | \(0.177067\pi\) | |||||||
\(558\) | −3.63293 | − | 15.9169i | −0.153794 | − | 0.673816i | ||||
\(559\) | −0.741162 | − | 1.53904i | −0.0313478 | − | 0.0650944i | ||||
\(560\) | −14.3963 | + | 6.93290i | −0.608356 | + | 0.292969i | ||||
\(561\) | 3.64881 | + | 0.832817i | 0.154053 | + | 0.0351616i | ||||
\(562\) | −6.20098 | + | 12.8765i | −0.261572 | + | 0.543161i | ||||
\(563\) | 28.3951i | 1.19671i | 0.801230 | + | 0.598356i | \(0.204179\pi\) | ||||
−0.801230 | + | 0.598356i | \(0.795821\pi\) | |||||||
\(564\) | −6.30678 | − | 3.03719i | −0.265563 | − | 0.127889i | ||||
\(565\) | −23.9381 | − | 19.0900i | −1.00709 | − | 0.803124i | ||||
\(566\) | −2.53006 | − | 2.01766i | −0.106346 | − | 0.0848084i | ||||
\(567\) | 11.4999 | + | 5.53806i | 0.482951 | + | 0.232577i | ||||
\(568\) | 23.4164i | 0.982531i | ||||||||
\(569\) | −0.843588 | + | 1.75173i | −0.0353650 | + | 0.0734363i | −0.917903 | − | 0.396805i | \(-0.870119\pi\) |
0.882538 | + | 0.470241i | \(0.155833\pi\) | |||||||
\(570\) | 6.96674 | + | 1.59011i | 0.291804 | + | 0.0666025i | ||||
\(571\) | 31.0894 | − | 14.9718i | 1.30105 | − | 0.626552i | 0.350336 | − | 0.936624i | \(-0.386067\pi\) |
0.950713 | + | 0.310072i | \(0.100353\pi\) | |||||||
\(572\) | −0.229032 | − | 0.475589i | −0.00957629 | − | 0.0198854i | ||||
\(573\) | −2.34267 | − | 10.2639i | −0.0978664 | − | 0.428781i | ||||
\(574\) | −3.32086 | + | 4.16422i | −0.138610 | + | 0.173811i | ||||
\(575\) | −7.59432 | − | 9.52297i | −0.316705 | − | 0.397135i | ||||
\(576\) | −0.137526 | + | 0.602539i | −0.00573023 | + | 0.0251058i | ||||
\(577\) | −2.69463 | + | 0.615033i | −0.112179 | + | 0.0256041i | −0.278242 | − | 0.960511i | \(-0.589752\pi\) |
0.166063 | + | 0.986115i | \(0.446895\pi\) | |||||||
\(578\) | −1.06382 | + | 0.848370i | −0.0442492 | + | 0.0352875i | ||||
\(579\) | 7.70820 | 0.320342 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 22.2361 | 0.922508 | ||||||||
\(582\) | −1.06382 | + | 0.848370i | −0.0440969 | + | 0.0351661i | ||||
\(583\) | −2.69463 | + | 0.615033i | −0.111600 | + | 0.0254721i | ||||
\(584\) | 6.82082 | − | 29.8840i | 0.282247 | − | 1.23661i | ||||
\(585\) | −1.48513 | − | 1.86230i | −0.0614026 | − | 0.0769965i | ||||
\(586\) | −3.28611 | + | 4.12065i | −0.135748 | + | 0.170223i | ||||
\(587\) | −10.3735 | − | 45.4492i | −0.428160 | − | 1.87589i | −0.480056 | − | 0.877238i | \(-0.659384\pi\) |
0.0518966 | − | 0.998652i | \(-0.483473\pi\) | |||||||
\(588\) | 0.867767 | + | 1.80194i | 0.0357861 | + | 0.0743107i | ||||
\(589\) | 44.1283 | − | 21.2511i | 1.81827 | − | 0.875635i | ||||
\(590\) | −14.1429 | − | 3.22802i | −0.582253 | − | 0.132895i | ||||
\(591\) | −1.68718 | + | 3.50346i | −0.0694011 | + | 0.144113i | ||||
\(592\) | 8.72949i | 0.358780i | ||||||||
\(593\) | −13.0079 | − | 6.26428i | −0.534171 | − | 0.257243i | 0.147295 | − | 0.989093i | \(-0.452943\pi\) |
−0.681466 | + | 0.731849i | \(0.738657\pi\) | |||||||
\(594\) | 2.31857 | + | 1.84900i | 0.0951319 | + | 0.0758652i | ||||
\(595\) | 29.5250 | + | 23.5454i | 1.21041 | + | 0.965268i | ||||
\(596\) | 14.0212 | + | 6.75223i | 0.574329 | + | 0.276582i | ||||
\(597\) | − | 3.61803i | − | 0.148076i | ||||||
\(598\) | 0.0782465 | − | 0.162481i | 0.00319974 | − | 0.00664433i | ||||
\(599\) | 12.7412 | + | 2.90810i | 0.520592 | + | 0.118822i | 0.474739 | − | 0.880126i | \(-0.342542\pi\) |
0.0458528 | + | 0.998948i | \(0.485399\pi\) | |||||||
\(600\) | −12.2694 | + | 5.90864i | −0.500897 | + | 0.241219i | ||||
\(601\) | 12.6516 | + | 26.2714i | 0.516071 | + | 1.07163i | 0.982360 | + | 0.187000i | \(0.0598765\pi\) |
−0.466289 | + | 0.884633i | \(0.654409\pi\) | |||||||
\(602\) | 2.22521 | + | 9.74928i | 0.0906928 | + | 0.397351i | ||||
\(603\) | 2.49396 | − | 3.12733i | 0.101562 | − | 0.127355i | ||||
\(604\) | −2.69737 | − | 3.38239i | −0.109754 | − | 0.137627i | ||||
\(605\) | 7.79590 | − | 34.1561i | 0.316948 | − | 1.38864i | ||||
\(606\) | 0.230149 | − | 0.0525301i | 0.00934917 | − | 0.00213389i | ||||
\(607\) | −8.58350 | + | 6.84512i | −0.348394 | + | 0.277835i | −0.782014 | − | 0.623261i | \(-0.785807\pi\) |
0.433620 | + | 0.901096i | \(0.357236\pi\) | |||||||
\(608\) | 27.2705 | 1.10597 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.47214 | −0.0596050 | ||||||||
\(611\) | 1.29196 | − | 1.03030i | 0.0522670 | − | 0.0416816i | ||||
\(612\) | 18.0969 | − | 4.13050i | 0.731524 | − | 0.166966i | ||||
\(613\) | 6.12845 | − | 26.8505i | 0.247526 | − | 1.08448i | −0.686459 | − | 0.727169i | \(-0.740836\pi\) |
0.933985 | − | 0.357313i | \(-0.116307\pi\) | |||||||
\(614\) | 7.39091 | + | 9.26791i | 0.298273 | + | 0.374022i | ||||
\(615\) | 5.72385 | − | 7.17748i | 0.230808 | − | 0.289424i | ||||
\(616\) | 1.53758 | + | 6.73659i | 0.0619509 | + | 0.271425i | ||||
\(617\) | 6.15262 | + | 12.7760i | 0.247695 | + | 0.514344i | 0.987333 | − | 0.158661i | \(-0.0507176\pi\) |
−0.739638 | + | 0.673005i | \(0.765003\pi\) | |||||||
\(618\) | −3.15932 | + | 1.52145i | −0.127086 | + | 0.0612016i | ||||
\(619\) | −6.87883 | − | 1.57005i | −0.276483 | − | 0.0631055i | 0.0820308 | − | 0.996630i | \(-0.473859\pi\) |
−0.358514 | + | 0.933524i | \(0.616717\pi\) | |||||||
\(620\) | −27.3013 | + | 56.6917i | −1.09644 | + | 2.27679i | ||||
\(621\) | − | 4.29180i | − | 0.172224i | ||||||
\(622\) | 1.16387 | + | 0.560489i | 0.0466669 | + | 0.0224736i | ||||
\(623\) | 8.23102 | + | 6.56402i | 0.329769 | + | 0.262982i | ||||
\(624\) | 0.211493 | + | 0.168660i | 0.00846650 | + | 0.00675181i | ||||
\(625\) | −20.5717 | − | 9.90679i | −0.822866 | − | 0.396271i | ||||
\(626\) | 7.97871i | 0.318894i | ||||||||
\(627\) | −1.79884 | + | 3.73533i | −0.0718387 | + | 0.149175i | ||||
\(628\) | −22.9715 | − | 5.24311i | −0.916665 | − | 0.209223i | ||||
\(629\) | 18.5881 | − | 8.95154i | 0.741154 | − | 0.356921i | ||||
\(630\) | 6.05019 | + | 12.5634i | 0.241045 | + | 0.500536i | ||||
\(631\) | −6.27838 | − | 27.5074i | −0.249938 | − | 1.09505i | −0.931629 | − | 0.363411i | \(-0.881612\pi\) |
0.681691 | − | 0.731641i | \(-0.261245\pi\) | |||||||
\(632\) | 8.49071 | − | 10.6470i | 0.337742 | − | 0.423515i | ||||
\(633\) | 4.49014 | + | 5.63046i | 0.178467 | + | 0.223791i | ||||
\(634\) | −3.81058 | + | 16.6953i | −0.151338 | + | 0.663054i | ||||
\(635\) | 59.9101 | − | 13.6741i | 2.37746 | − | 0.542640i | ||||
\(636\) | 1.56366 | − | 1.24698i | 0.0620033 | − | 0.0494460i | ||||
\(637\) | −0.472136 | −0.0187067 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −27.4164 | −1.08458 | ||||||||
\(640\) | −34.2968 | + | 27.3508i | −1.35570 | + | 1.08113i | ||||
\(641\) | −10.7785 | + | 2.46013i | −0.425727 | + | 0.0971693i | −0.430016 | − | 0.902821i | \(-0.641492\pi\) |
0.00428892 | + | 0.999991i | \(0.498635\pi\) | |||||||
\(642\) | −0.574903 | + | 2.51882i | −0.0226896 | + | 0.0994097i | ||||
\(643\) | 23.3287 | + | 29.2533i | 0.919996 | + | 1.15364i | 0.987767 | + | 0.155938i | \(0.0498399\pi\) |
−0.0677709 | + | 0.997701i | \(0.521589\pi\) | |||||||
\(644\) | 2.78833 | − | 3.49646i | 0.109876 | − | 0.137780i | ||||
\(645\) | −3.83539 | − | 16.8039i | −0.151018 | − | 0.661654i | ||||
\(646\) | −5.70379 | − | 11.8440i | −0.224413 | − | 0.465998i | ||||
\(647\) | −27.5047 | + | 13.2455i | −1.08132 | + | 0.520736i | −0.887738 | − | 0.460348i | \(-0.847725\pi\) |
−0.193581 | + | 0.981084i | \(0.562010\pi\) | |||||||
\(648\) | 12.4439 | + | 2.84024i | 0.488843 | + | 0.111575i | ||||
\(649\) | 3.65174 | − | 7.58292i | 0.143343 | − | 0.297656i | ||||
\(650\) | − | 1.43769i | − | 0.0563910i | ||||||
\(651\) | −12.5634 | − | 6.05019i | −0.492397 | − | 0.237126i | ||||
\(652\) | −7.63375 | − | 6.08771i | −0.298961 | − | 0.238413i | ||||
\(653\) | 37.5382 | + | 29.9357i | 1.46898 | + | 1.17147i | 0.948153 | + | 0.317815i | \(0.102949\pi\) |
0.520830 | + | 0.853660i | \(0.325622\pi\) | |||||||
\(654\) | −4.94940 | − | 2.38351i | −0.193537 | − | 0.0932025i | ||||
\(655\) | − | 55.2148i | − | 2.15742i | ||||||
\(656\) | 3.10049 | − | 6.43823i | 0.121054 | − | 0.251371i | ||||
\(657\) | 34.9887 | + | 7.98595i | 1.36504 | + | 0.311562i | ||||
\(658\) | −8.71576 | + | 4.19729i | −0.339776 | + | 0.163627i | ||||
\(659\) | −3.06137 | − | 6.35699i | −0.119254 | − | 0.247633i | 0.832794 | − | 0.553584i | \(-0.186740\pi\) |
−0.952047 | + | 0.305950i | \(0.901026\pi\) | |||||||
\(660\) | −1.18520 | − | 5.19270i | −0.0461338 | − | 0.202125i | ||||
\(661\) | −23.3502 | + | 29.2803i | −0.908218 | + | 1.13887i | 0.0816186 | + | 0.996664i | \(0.473991\pi\) |
−0.989837 | + | 0.142206i | \(0.954580\pi\) | |||||||
\(662\) | 8.16159 | + | 10.2343i | 0.317209 | + | 0.397768i | ||||
\(663\) | 0.142262 | − | 0.623291i | 0.00552500 | − | 0.0242066i | ||||
\(664\) | 21.6786 | − | 4.94799i | 0.841291 | − | 0.192019i | ||||
\(665\) | −32.7062 | + | 26.0823i | −1.26829 | + | 1.01143i | ||||
\(666\) | 7.61803 | 0.295193 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −17.0344 | −0.659082 | ||||||||
\(669\) | −1.29196 | + | 1.03030i | −0.0499500 | + | 0.0398338i | ||||
\(670\) | 3.54807 | − | 0.809825i | 0.137074 | − | 0.0312863i | ||||
\(671\) | 0.190056 | − | 0.832688i | 0.00733701 | − | 0.0321456i | ||||
\(672\) | −4.84073 | − | 6.07009i | −0.186735 | − | 0.234159i | ||||
\(673\) | 4.03531 | − | 5.06012i | 0.155550 | − | 0.195053i | −0.697950 | − | 0.716147i | \(-0.745904\pi\) |
0.853500 | + | 0.521093i | \(0.174476\pi\) | |||||||
\(674\) | 4.68534 | + | 20.5278i | 0.180473 | + | 0.790702i | ||||
\(675\) | −14.8452 | − | 30.8265i | −0.571393 | − | 1.18651i | ||||
\(676\) | 18.8701 | − | 9.08738i | 0.725774 | − | 0.349515i | ||||
\(677\) | 39.8091 | + | 9.08616i | 1.52999 | + | 0.349209i | 0.902938 | − | 0.429771i | \(-0.141406\pi\) |
0.627048 | + | 0.778980i | \(0.284263\pi\) | |||||||
\(678\) | 1.31659 | − | 2.73394i | 0.0505635 | − | 0.104996i | ||||
\(679\) | − | 7.96556i | − | 0.305690i | ||||||
\(680\) | 34.0241 | + | 16.3852i | 1.30477 | + | 0.628342i | ||||
\(681\) | −10.0933 | − | 8.04915i | −0.386777 | − | 0.308444i | ||||
\(682\) | 6.73785 | + | 5.37326i | 0.258006 | + | 0.205753i | ||||
\(683\) | −18.7889 | − | 9.04826i | −0.718937 | − | 0.346222i | 0.0383853 | − | 0.999263i | \(-0.487779\pi\) |
−0.757322 | + | 0.653041i | \(0.773493\pi\) | |||||||
\(684\) | 20.5623i | 0.786219i | ||||||||
\(685\) | 11.9496 | − | 24.8136i | 0.456571 | − | 0.948079i | ||||
\(686\) | 12.1259 | + | 2.76765i | 0.462967 | + | 0.105669i | ||||
\(687\) | 1.27614 | − | 0.614556i | 0.0486878 | − | 0.0234468i | ||||
\(688\) | −5.82116 | − | 12.0878i | −0.221930 | − | 0.460842i | ||||
\(689\) | 0.105060 | + | 0.460299i | 0.00400247 | + | 0.0175360i | ||||
\(690\) | 1.13454 | − | 1.42267i | 0.0431912 | − | 0.0541600i | ||||
\(691\) | 7.37764 | + | 9.25127i | 0.280659 | + | 0.351935i | 0.902101 | − | 0.431525i | \(-0.142024\pi\) |
−0.621442 | + | 0.783460i | \(0.713453\pi\) | |||||||
\(692\) | 1.47265 | − | 6.45211i | 0.0559818 | − | 0.245272i | ||||
\(693\) | −7.88733 | + | 1.80023i | −0.299615 | + | 0.0683852i | ||||
\(694\) | 15.5226 | − | 12.3788i | 0.589228 | − | 0.469894i | ||||
\(695\) | −4.97871 | −0.188853 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −16.8885 | −0.639699 | ||||||||
\(698\) | 2.18786 | − | 1.74476i | 0.0828116 | − | 0.0660400i | ||||
\(699\) | 9.18032 | − | 2.09535i | 0.347232 | − | 0.0792533i | ||||
\(700\) | 7.93342 | − | 34.7586i | 0.299855 | − | 1.31375i | ||||
\(701\) | 13.1280 | + | 16.4620i | 0.495839 | + | 0.621762i | 0.965285 | − | 0.261199i | \(-0.0841178\pi\) |
−0.469446 | + | 0.882961i | \(0.655546\pi\) | |||||||
\(702\) | 0.315846 | − | 0.396058i | 0.0119208 | − | 0.0149483i | ||||
\(703\) | 5.08552 | + | 22.2811i | 0.191804 | + | 0.840348i | ||||
\(704\) | −0.141549 | − | 0.293930i | −0.00533484 | − | 0.0110779i | ||||
\(705\) | 15.0225 | − | 7.23447i | 0.565782 | − | 0.272466i | ||||
\(706\) | 11.5233 | + | 2.63012i | 0.433686 | + | 0.0989859i | ||||
\(707\) | −0.599613 | + | 1.24511i | −0.0225508 | + | 0.0468271i | ||||
\(708\) | 6.09017i | 0.228883i | ||||||||
\(709\) | −37.3961 | − | 18.0090i | −1.40444 | − | 0.676343i | −0.430384 | − | 0.902646i | \(-0.641622\pi\) |
−0.974057 | + | 0.226302i | \(0.927336\pi\) | |||||||
\(710\) | −19.5022 | − | 15.5525i | −0.731905 | − | 0.583675i | ||||
\(711\) | 12.4657 | + | 9.94109i | 0.467502 | + | 0.372820i | ||||
\(712\) | 9.48528 | + | 4.56787i | 0.355476 | + | 0.171188i | ||||
\(713\) | − | 12.4721i | − | 0.467085i | ||||||
\(714\) | −1.62387 | + | 3.37201i | −0.0607719 | + | 0.126194i | ||||
\(715\) | 1.22583 | + | 0.279788i | 0.0458434 | + | 0.0104635i | ||||
\(716\) | −23.3248 | + | 11.2326i | −0.871688 | + | 0.419783i | ||||
\(717\) | 7.43933 | + | 15.4479i | 0.277827 | + | 0.576913i | ||||
\(718\) | −3.26815 | − | 14.3187i | −0.121966 | − | 0.534369i | ||||
\(719\) | 5.30376 | − | 6.65071i | 0.197797 | − | 0.248030i | −0.673035 | − | 0.739611i | \(-0.735010\pi\) |
0.870832 | + | 0.491581i | \(0.163581\pi\) | |||||||
\(720\) | −11.6644 | − | 14.6267i | −0.434706 | − | 0.545104i | ||||
\(721\) | 4.56788 | − | 20.0132i | 0.170117 | − | 0.745330i | ||||
\(722\) | 2.74897 | − | 0.627433i | 0.102306 | − | 0.0233507i | ||||
\(723\) | −2.24807 | + | 1.79278i | −0.0836066 | + | 0.0666740i | ||||
\(724\) | 9.61803 | 0.357451 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 3.47214 | 0.128863 | ||||||||
\(727\) | 21.9349 | − | 17.4925i | 0.813519 | − | 0.648759i | −0.125704 | − | 0.992068i | \(-0.540119\pi\) |
0.939223 | + | 0.343308i | \(0.111548\pi\) | |||||||
\(728\) | 1.15075 | − | 0.262650i | 0.0426495 | − | 0.00973447i | ||||
\(729\) | −1.89289 | + | 8.29330i | −0.0701071 | + | 0.307159i | ||||
\(730\) | 20.3585 | + | 25.5287i | 0.753501 | + | 0.944861i | ||||
\(731\) | −19.7697 | + | 24.7905i | −0.731210 | + | 0.916909i | ||||
\(732\) | 0.137526 | + | 0.602539i | 0.00508309 | + | 0.0222705i | ||||
\(733\) | −6.43001 | − | 13.3521i | −0.237498 | − | 0.493169i | 0.747820 | − | 0.663902i | \(-0.231101\pi\) |
−0.985317 | + | 0.170733i | \(0.945387\pi\) | |||||||
\(734\) | 15.1850 | − | 7.31272i | 0.560489 | − | 0.269917i | ||||
\(735\) | −4.64449 | − | 1.06007i | −0.171315 | − | 0.0391014i | ||||
\(736\) | 3.01301 | − | 6.25657i | 0.111061 | − | 0.230620i | ||||
\(737\) | 2.11146i | 0.0777765i | ||||||||
\(738\) | −5.61850 | − | 2.70573i | −0.206820 | − | 0.0995992i | ||||
\(739\) | 39.1454 | + | 31.2174i | 1.43999 | + | 1.14835i | 0.963020 | + | 0.269432i | \(0.0868358\pi\) |
0.476968 | + | 0.878920i | \(0.341736\pi\) | |||||||
\(740\) | −22.9551 | − | 18.3061i | −0.843846 | − | 0.672945i | ||||
\(741\) | 0.638070 | + | 0.307278i | 0.0234401 | + | 0.0112881i | ||||
\(742\) | − | 2.76393i | − | 0.101467i | ||||||
\(743\) | 15.2884 | − | 31.7466i | 0.560875 | − | 1.16467i | −0.407044 | − | 0.913409i | \(-0.633440\pi\) |
0.967919 | − | 0.251261i | \(-0.0808453\pi\) | |||||||
\(744\) | −13.5947 | − | 3.10289i | −0.498404 | − | 0.113758i | ||||
\(745\) | −33.3979 | + | 16.0836i | −1.22360 | + | 0.589257i | ||||
\(746\) | 5.52883 | + | 11.4807i | 0.202425 | + | 0.420339i | ||||
\(747\) | 5.79321 | + | 25.3817i | 0.211962 | + | 0.928668i | ||||
\(748\) | −6.10919 | + | 7.66068i | −0.223374 | + | 0.280102i | ||||
\(749\) | −9.43004 | − | 11.8249i | −0.344566 | − | 0.432072i | ||||
\(750\) | 1.59011 | − | 6.96674i | 0.0580627 | − | 0.254389i | ||||
\(751\) | −18.0633 | + | 4.12284i | −0.659140 | + | 0.150444i | −0.538991 | − | 0.842311i | \(-0.681194\pi\) |
−0.120149 | + | 0.992756i | \(0.538337\pi\) | |||||||
\(752\) | 10.1472 | − | 8.09210i | 0.370029 | − | 0.295088i | ||||
\(753\) | −12.1459 | −0.442621 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 10.3050 | 0.375036 | ||||||||
\(756\) | 9.82161 | − | 7.83247i | 0.357208 | − | 0.284864i | ||||
\(757\) | 0.0207525 | − | 0.00473663i | 0.000754264 | − | 0.000172156i | −0.222144 | − | 0.975014i | \(-0.571305\pi\) |
0.222898 | + | 0.974842i | \(0.428448\pi\) | |||||||
\(758\) | −3.34074 | + | 14.6367i | −0.121341 | + | 0.531630i | ||||
\(759\) | 0.658236 | + | 0.825401i | 0.0238924 | + | 0.0299602i | ||||
\(760\) | −26.0823 | + | 32.7062i | −0.946106 | + | 1.18638i | ||||
\(761\) | −5.60789 | − | 24.5698i | −0.203286 | − | 0.890653i | −0.968919 | − | 0.247377i | \(-0.920432\pi\) |
0.765634 | − | 0.643277i | \(-0.222426\pi\) | |||||||
\(762\) | 2.64243 | + | 5.48705i | 0.0957250 | + | 0.198775i | ||||
\(763\) | 28.9743 | − | 13.9533i | 1.04894 | − | 0.505143i | ||||
\(764\) | 26.8713 | + | 6.13319i | 0.972168 | + | 0.221891i | ||||
\(765\) | −19.1841 | + | 39.8361i | −0.693602 | + | 1.44028i | ||||
\(766\) | − | 17.8328i | − | 0.644326i | ||||||
\(767\) | −1.29532 | − | 0.623792i | −0.0467712 | − | 0.0225238i | ||||
\(768\) | −3.17090 | − | 2.52871i | −0.114420 | − | 0.0912468i | ||||
\(769\) | −15.1368 | − | 12.0712i | −0.545847 | − | 0.435298i | 0.311344 | − | 0.950297i | \(-0.399221\pi\) |
−0.857191 | + | 0.514999i | \(0.827792\pi\) | |||||||
\(770\) | −6.63174 | − | 3.19368i | &minus |