Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,2,Mod(13,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([0, 27, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.bh (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.03431527681\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 13.6 | ||
Character | \(\chi\) | \(=\) | 380.13 |
Dual form | 380.2.bh.a.117.6 |
$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.224420 | − | 0.104649i | 0.129569 | − | 0.0604191i | −0.356753 | − | 0.934199i | \(-0.616116\pi\) |
0.486322 | + | 0.873780i | \(0.338338\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.15088 | + | 0.611320i | −0.961903 | + | 0.273391i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.357605 | + | 1.33460i | 0.135162 | + | 0.504431i | 0.999997 | + | 0.00237552i | \(0.000756153\pi\) |
−0.864835 | + | 0.502056i | \(0.832577\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.88895 | + | 2.25116i | −0.629650 | + | 0.750388i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.00188012 | + | 0.00325647i | 0.000566878 | + | 0.000981862i | 0.866309 | − | 0.499509i | \(-0.166486\pi\) |
−0.865742 | + | 0.500491i | \(0.833153\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.47530 | + | 3.16379i | −0.409174 | + | 0.877476i | 0.588447 | + | 0.808536i | \(0.299740\pi\) |
−0.997621 | + | 0.0689404i | \(0.978038\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.418728 | + | 0.362280i | −0.108115 | + | 0.0935403i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.0221536 | − | 0.253216i | 0.00537303 | − | 0.0614140i | −0.993035 | − | 0.117821i | \(-0.962409\pi\) |
0.998408 | + | 0.0564073i | \(0.0179645\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.384763 | + | 4.34188i | 0.0882708 | + | 0.996097i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.219918 | + | 0.262088i | 0.0479901 | + | 0.0571924i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −3.63066 | + | 2.54221i | −0.757045 | + | 0.530088i | −0.887189 | − | 0.461407i | \(-0.847345\pi\) |
0.130144 | + | 0.991495i | \(0.458456\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.25258 | − | 2.62975i | 0.850515 | − | 0.525950i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.380604 | + | 1.42043i | −0.0732472 | + | 0.273362i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.17897 | + | 0.989275i | 0.218930 | + | 0.183704i | 0.745656 | − | 0.666331i | \(-0.232136\pi\) |
−0.526726 | + | 0.850035i | \(0.676581\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.377920 | + | 0.218192i | 0.0678765 | + | 0.0391885i | 0.533554 | − | 0.845766i | \(-0.320856\pi\) |
−0.465678 | + | 0.884954i | \(0.654189\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.000762724 | 0 | 0.000534065i | 0.000132773 | 0 | 9.29688e-5i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.58503 | − | 2.65195i | −0.267919 | − | 0.448262i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.496355 | + | 0.496355i | 0.0816002 | + | 0.0816002i | 0.746729 | − | 0.665129i | \(-0.231623\pi\) |
−0.665129 | + | 0.746729i | \(0.731623\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.864406i | 0.138416i | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.34618 | − | 6.44608i | 0.366412 | − | 1.00671i | −0.610303 | − | 0.792168i | \(-0.708952\pi\) |
0.976715 | − | 0.214541i | \(-0.0688255\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.96540 | + | 5.66318i | −0.604718 | + | 0.863627i | −0.998453 | − | 0.0555970i | \(-0.982294\pi\) |
0.393735 | + | 0.919224i | \(0.371183\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.68673 | − | 5.99673i | 0.400513 | − | 0.893940i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −2.70864 | + | 0.236975i | −0.395096 | + | 0.0345664i | −0.282973 | − | 0.959128i | \(-0.591321\pi\) |
−0.112123 | + | 0.993694i | \(0.535765\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.40890 | − | 2.54548i | 0.629843 | − | 0.363640i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.0215271 | − | 0.0591453i | −0.00301440 | − | 0.00828200i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −3.00243 | − | 4.28792i | −0.412416 | − | 0.588991i | 0.558176 | − | 0.829723i | \(-0.311502\pi\) |
−0.970592 | + | 0.240732i | \(0.922613\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.00603466 | − | 0.00585492i | −0.000813714 | − | 0.000789477i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.540722 | + | 0.934142i | 0.0716204 | + | 0.123730i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 7.08129 | − | 5.94191i | 0.921906 | − | 0.773571i | −0.0524407 | − | 0.998624i | \(-0.516700\pi\) |
0.974346 | + | 0.225053i | \(0.0722556\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.899822 | + | 5.10314i | −0.115210 | + | 0.653391i | 0.871435 | + | 0.490510i | \(0.163190\pi\) |
−0.986646 | + | 0.162880i | \(0.947922\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −3.67990 | − | 1.71597i | −0.463624 | − | 0.216191i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.23910 | − | 7.70680i | 0.153692 | − | 0.955911i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.01014 | + | 11.5460i | 0.123409 | + | 1.41057i | 0.765251 | + | 0.643732i | \(0.222615\pi\) |
−0.641843 | + | 0.766836i | \(0.721830\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.548754 | + | 0.950469i | −0.0660622 | + | 0.114423i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.85753 | + | 0.327532i | −0.220448 | + | 0.0388709i | −0.282781 | − | 0.959184i | \(-0.591257\pi\) |
0.0623331 | + | 0.998055i | \(0.480146\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.92742 | − | 10.5669i | −0.576711 | − | 1.23676i | −0.950926 | − | 0.309419i | \(-0.899866\pi\) |
0.374215 | − | 0.927342i | \(-0.377912\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0.679164 | − | 1.03520i | 0.0784231 | − | 0.119534i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.00367374 | + | 0.00367374i | −0.000418662 | + | 0.000418662i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 10.2851 | + | 3.74347i | 1.15716 | + | 0.421173i | 0.848084 | − | 0.529863i | \(-0.177757\pi\) |
0.309081 | + | 0.951036i | \(0.399979\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −1.46766 | − | 8.32351i | −0.163073 | − | 0.924835i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −1.18134 | + | 0.316538i | −0.129669 | + | 0.0347446i | −0.323070 | − | 0.946375i | \(-0.604715\pi\) |
0.193401 | + | 0.981120i | \(0.438048\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.107147 | + | 0.558181i | 0.0116217 | + | 0.0605433i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0.368112 | + | 0.0986353i | 0.0394657 | + | 0.0105748i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.35576 | − | 1.58537i | 0.461710 | − | 0.168049i | −0.100683 | − | 0.994919i | \(-0.532103\pi\) |
0.562393 | + | 0.826870i | \(0.309881\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.74996 | − | 0.837546i | −0.497931 | − | 0.0877987i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0.107647 | + | 0.00941786i | 0.0111624 | + | 0.000976587i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.48186 | − | 9.10366i | −0.357231 | − | 0.934016i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 17.5189 | + | 1.53271i | 1.77878 | + | 0.155623i | 0.928650 | − | 0.370956i | \(-0.120970\pi\) |
0.850126 | + | 0.526579i | \(0.176526\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.0108823 | − | 0.00191884i | −0.00109371 | − | 0.000192851i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 6.45708 | − | 2.35019i | 0.642504 | − | 0.233852i | −0.000160786 | − | 1.00000i | \(-0.500051\pi\) |
0.642664 | + | 0.766148i | \(0.277829\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −9.21083 | − | 2.46803i | −0.907570 | − | 0.243183i | −0.225305 | − | 0.974288i | \(-0.572338\pi\) |
−0.682264 | + | 0.731106i | \(0.739005\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.633238 | − | 0.429281i | −0.0617977 | − | 0.0418935i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −10.4537 | + | 2.80105i | −1.01059 | + | 0.270787i | −0.725877 | − | 0.687825i | \(-0.758566\pi\) |
−0.284716 | + | 0.958612i | \(0.591899\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.343957 | − | 1.95068i | −0.0329451 | − | 0.186841i | 0.963894 | − | 0.266286i | \(-0.0857964\pi\) |
−0.996839 | + | 0.0794446i | \(0.974685\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.163335 | + | 0.0594491i | 0.0155031 | + | 0.00564266i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 2.00324 | − | 2.00324i | 0.188449 | − | 0.188449i | −0.606577 | − | 0.795025i | \(-0.707458\pi\) |
0.795025 | + | 0.606577i | \(0.207458\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 6.25501 | − | 7.68749i | 0.583283 | − | 0.716863i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −4.33543 | − | 9.29737i | −0.400811 | − | 0.859542i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.345865 | − | 0.0609853i | 0.0317054 | − | 0.00559051i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.49999 | − | 9.52627i | 0.499999 | − | 0.866024i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −0.148045 | − | 1.69216i | −0.0133487 | − | 0.152577i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −7.53917 | + | 8.25597i | −0.674323 | + | 0.738436i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 7.42551 | + | 3.46257i | 0.658907 | + | 0.307253i | 0.723160 | − | 0.690680i | \(-0.242689\pi\) |
−0.0642532 | + | 0.997934i | \(0.520467\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −0.297271 | + | 1.68591i | −0.0261733 | + | 0.148436i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 10.3105 | − | 8.65153i | 0.900832 | − | 0.755888i | −0.0695207 | − | 0.997581i | \(-0.522147\pi\) |
0.970353 | + | 0.241693i | \(0.0777025\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.65708 | + | 2.06618i | −0.490531 | + | 0.179161i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.0497052 | − | 3.28785i | −0.00427794 | − | 0.282973i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 8.16634 | + | 11.6627i | 0.697698 | + | 0.996416i | 0.999079 | + | 0.0429118i | \(0.0136634\pi\) |
−0.301381 | + | 0.953504i | \(0.597448\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 0.514380 | + | 1.41325i | 0.0436291 | + | 0.119870i | 0.959594 | − | 0.281389i | \(-0.0907950\pi\) |
−0.915965 | + | 0.401259i | \(0.868573\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −0.583075 | + | 0.336638i | −0.0491037 | + | 0.0283501i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −0.0130765 | + | 0.00114405i | −0.00109351 | + | 9.56699e-5i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −3.14059 | − | 1.40708i | −0.260812 | − | 0.116852i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.723066 | − | 1.03264i | 0.0596374 | − | 0.0851711i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −6.46057 | + | 17.7503i | −0.529271 | + | 1.45416i | 0.330661 | + | 0.943750i | \(0.392728\pi\) |
−0.859932 | + | 0.510409i | \(0.829494\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 18.5169i | 1.50689i | 0.657514 | + | 0.753443i | \(0.271608\pi\) | ||||
−0.657514 | + | 0.753443i | \(0.728392\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0.528184 | + | 0.528184i | 0.0427012 | + | 0.0427012i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.946247 | − | 0.238276i | −0.0760044 | − | 0.0191388i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.530302 | − | 0.371321i | −0.0423227 | − | 0.0296347i | 0.552224 | − | 0.833696i | \(-0.313779\pi\) |
−0.594546 | + | 0.804061i | \(0.702668\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −1.12253 | − | 0.648095i | −0.0890227 | − | 0.0513973i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −4.69118 | − | 3.93637i | −0.369717 | − | 0.310229i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −2.73676 | + | 10.2137i | −0.214360 | + | 0.800001i | 0.772031 | + | 0.635585i | \(0.219241\pi\) |
−0.986391 | + | 0.164417i | \(0.947426\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −0.00196701 | 0.000682442i | −0.000153132 | 5.31280e-5i | ||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −18.2514 | + | 12.7798i | −1.41233 | + | 0.988928i | −0.415486 | + | 0.909599i | \(0.636389\pi\) |
−0.996849 | + | 0.0793282i | \(0.974722\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.523202 | + | 0.623528i | 0.0402463 | + | 0.0479637i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −10.5011 | − | 7.33544i | −0.803038 | − | 0.560955i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −1.40159 | + | 16.0203i | −0.106561 | + | 1.21800i | 0.735087 | + | 0.677973i | \(0.237141\pi\) |
−0.841648 | + | 0.540027i | \(0.818414\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 5.03041 | + | 4.73508i | 0.380263 | + | 0.357938i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.967372 | − | 2.07454i | 0.0727121 | − | 0.155932i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 0.342820 | + | 0.593781i | 0.0256235 | + | 0.0443813i | 0.878553 | − | 0.477645i | \(-0.158510\pi\) |
−0.852929 | + | 0.522026i | \(0.825176\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −10.0584 | + | 11.9871i | −0.747632 | + | 0.890993i | −0.996999 | − | 0.0774157i | \(-0.975333\pi\) |
0.249367 | + | 0.968409i | \(0.419778\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0.332100 | + | 1.23942i | 0.0245496 | + | 0.0916202i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −1.37103 | − | 0.764168i | −0.100800 | − | 0.0561828i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.000866243 | 0 | 0.000403936i | 6.33459e−5 | 0 | 2.95387e-5i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −2.03181 | −0.147793 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 20.1498 | 1.45799 | 0.728995 | − | 0.684519i | \(-0.239988\pi\) | ||||
0.728995 | + | 0.684519i | \(0.239988\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −6.64426 | + | 3.09827i | −0.478265 | + | 0.223018i | −0.646774 | − | 0.762682i | \(-0.723882\pi\) |
0.168510 | + | 0.985700i | \(0.446105\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.528429 | − | 1.85923i | −0.0378416 | − | 0.133143i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −3.49846 | − | 13.0564i | −0.249255 | − | 0.930233i | −0.971197 | − | 0.238279i | \(-0.923417\pi\) |
0.721942 | − | 0.691954i | \(-0.243250\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.02198 | + | 7.17671i | −0.426887 | + | 0.508744i | −0.936021 | − | 0.351943i | \(-0.885521\pi\) |
0.509135 | + | 0.860687i | \(0.329965\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 1.43497 | + | 2.48545i | 0.101215 | + | 0.175310i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.898680 | + | 1.92722i | −0.0630750 | + | 0.135265i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.10574 | + | 15.2990i | −0.0772283 | + | 1.06853i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 1.13519 | − | 12.9753i | 0.0789014 | − | 0.901847i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −0.0134158 | + | 0.00941624i | −0.000927991 | + | 0.000651335i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 15.0959 | + | 17.9905i | 1.03924 | + | 1.23852i | 0.970554 | + | 0.240882i | \(0.0774366\pi\) |
0.0686873 | + | 0.997638i | \(0.478119\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −0.382591 | + | 0.267893i | −0.0262147 | + | 0.0183558i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 5.06709 | − | 14.6050i | 0.345573 | − | 0.996050i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.156053 | + | 0.582399i | −0.0105936 | + | 0.0395358i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −2.21163 | − | 1.85578i | −0.149448 | − | 0.125402i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.768440 | + | 0.443659i | 0.0516908 | + | 0.0298437i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 14.5195 | + | 10.1667i | 0.972299 | + | 0.680811i | 0.947792 | − | 0.318888i | \(-0.103309\pi\) |
0.0245072 | + | 0.999700i | \(0.492198\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −2.11290 | + | 14.5407i | −0.140860 | + | 0.969381i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −15.5569 | − | 15.5569i | −1.03255 | − | 1.03255i | −0.999452 | − | 0.0330931i | \(-0.989464\pi\) |
−0.0330931 | − | 0.999452i | \(-0.510536\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − | 6.48853i | − | 0.428774i | −0.976749 | − | 0.214387i | \(-0.931225\pi\) | ||
0.976749 | − | 0.214387i | \(-0.0687754\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.000440009 | 0.00120892i | −2.89505e−5 | 7.95408e-5i | ||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 6.22663 | − | 8.89254i | 0.407920 | − | 0.582570i | −0.561653 | − | 0.827373i | \(-0.689834\pi\) |
0.969573 | + | 0.244803i | \(0.0787233\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.68109 | − | 2.16555i | 0.370594 | − | 0.141265i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 2.69994 | − | 0.236214i | 0.175380 | − | 0.0153437i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 5.86957 | − | 3.38880i | 0.379671 | − | 0.219203i | −0.298004 | − | 0.954565i | \(-0.596321\pi\) |
0.677675 | + | 0.735361i | \(0.262988\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −3.18172 | − | 8.74169i | −0.204952 | − | 0.563102i | 0.794046 | − | 0.607858i | \(-0.207971\pi\) |
−0.998998 | + | 0.0447562i | \(0.985749\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −3.73082 | − | 5.32816i | −0.239332 | − | 0.341802i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −7.92692 | + | 8.17027i | −0.506432 | + | 0.521980i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −14.3044 | − | 5.18826i | −0.910169 | − | 0.330121i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −0.231991 | + | 0.194663i | −0.0147018 | + | 0.0123363i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2.77788 | + | 15.7541i | −0.175338 | + | 0.994391i | 0.762415 | + | 0.647088i | \(0.224014\pi\) |
−0.937753 | + | 0.347303i | \(0.887098\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.0151047 | − | 0.00704345i | −0.000949626 | − | 0.000442818i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0.0824590 | + | 0.114055i | 0.00516378 | + | 0.00714237i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 2.36820 | + | 27.0686i | 0.147724 | + | 1.68850i | 0.602681 | + | 0.797982i | \(0.294099\pi\) |
−0.454957 | + | 0.890513i | \(0.650345\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.484936 | + | 0.839934i | −0.0301324 | + | 0.0521909i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −4.45404 | + | 0.785367i | −0.275698 | + | 0.0486130i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −1.51093 | − | 3.24020i | −0.0931679 | − | 0.199799i | 0.854201 | − | 0.519943i | \(-0.174047\pi\) |
−0.947369 | + | 0.320143i | \(0.896269\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 9.07917 | + | 7.38736i | 0.557729 | + | 0.453802i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.811615 | − | 0.811615i | 0.0496700 | − | 0.0496700i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −25.5549 | − | 9.30123i | −1.55811 | − | 0.567106i | −0.587808 | − | 0.809001i | \(-0.700009\pi\) |
−0.970302 | + | 0.241895i | \(0.922231\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.49625 | − | 14.1569i | −0.151636 | − | 0.859972i | −0.961797 | − | 0.273764i | \(-0.911731\pi\) |
0.810160 | − | 0.586208i | \(-0.199380\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −1.15364 | + | 0.309116i | −0.0698213 | + | 0.0187086i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0.0165591 | + | 0.00890412i | 0.000998549 | + | 0.000536939i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 22.3088 | + | 5.97763i | 1.34041 | + | 0.359161i | 0.856586 | − | 0.516005i | \(-0.172581\pi\) |
0.483822 | + | 0.875166i | \(0.339248\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −1.20506 | + | 0.438606i | −0.0721450 | + | 0.0262586i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −23.1355 | − | 4.07942i | −1.38015 | − | 0.243358i | −0.566188 | − | 0.824276i | \(-0.691582\pi\) |
−0.813962 | + | 0.580919i | \(0.802693\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 16.0654 | + | 1.40554i | 0.954989 | + | 0.0835507i | 0.553986 | − | 0.832526i | \(-0.313106\pi\) |
0.401003 | + | 0.916077i | \(0.368662\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −1.73409 | − | 1.67867i | −0.102719 | − | 0.0994361i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 9.44195 | + | 0.826063i | 0.557341 | + | 0.0487610i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 16.6781 | + | 2.94080i | 0.981065 | + | 0.172988i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 4.09200 | − | 1.48937i | 0.239877 | − | 0.0873082i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 27.6925 | + | 7.42019i | 1.61781 | + | 0.433492i | 0.950358 | − | 0.311158i | \(-0.100717\pi\) |
0.667456 | + | 0.744650i | \(0.267383\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −11.5986 | + | 17.1093i | −0.675297 | + | 0.996140i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −0.00534117 | + | 0.00143116i | −0.000309926 | + | 8.30445e-5i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −2.68672 | − | 15.2371i | −0.155377 | − | 0.881187i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.97613 | − | 3.26704i | −0.517375 | − | 0.188309i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 1.20316 | − | 1.20316i | 0.0691195 | − | 0.0691195i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −1.18424 | − | 11.5263i | −0.0678096 | − | 0.659996i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −7.66464 | − | 16.4369i | −0.437444 | − | 0.938102i | −0.994212 | − | 0.107434i | \(-0.965736\pi\) |
0.556768 | − | 0.830668i | \(-0.312041\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −2.32537 | + | 0.410026i | −0.132286 | + | 0.0233256i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 5.84389 | − | 10.1219i | 0.331376 | − | 0.573961i | −0.651406 | − | 0.758730i | \(-0.725820\pi\) |
0.982782 | + | 0.184769i | \(0.0591536\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.41091 | − | 27.5568i | −0.136273 | − | 1.55760i | −0.689322 | − | 0.724455i | \(-0.742091\pi\) |
0.553049 | − | 0.833149i | \(-0.313464\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 8.96403 | + | 1.44124i | 0.505066 | + | 0.0812048i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 4.92918 | + | 2.29852i | 0.276851 | + | 0.129098i | 0.556085 | − | 0.831125i | \(-0.312303\pi\) |
−0.279234 | + | 0.960223i | \(0.590081\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.00100493 | + | 0.00569924i | −5.62653e−5 | + | 0.000319096i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −2.05289 | + | 1.72258i | −0.114581 | + | 0.0961448i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 1.10796 | − | 0.00124021i | 0.0616486 | − | 6.90072e-5i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.04616 | + | 17.3339i | 0.113500 | + | 0.961512i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −0.281327 | − | 0.401777i | −0.0155574 | − | 0.0222183i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −1.28489 | − | 3.53021i | −0.0708383 | − | 0.194627i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.04564 | + | 2.33575i | −0.222368 | + | 0.128384i | −0.607046 | − | 0.794666i | \(-0.707646\pi\) |
0.384678 | + | 0.923051i | \(0.374312\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −2.05496 | + | 0.179786i | −0.112611 | + | 0.00985221i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −9.23100 | − | 24.2165i | −0.504343 | − | 1.32309i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.540751 | − | 0.772272i | 0.0294566 | − | 0.0420683i | −0.804154 | − | 0.594421i | \(-0.797381\pi\) |
0.833610 | + | 0.552353i | \(0.186270\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0.239930 | − | 0.659203i | 0.0130312 | − | 0.0358030i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0.00164091i | 8.88605e-5i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 11.8128 | + | 11.8128i | 0.637832 | + | 0.637832i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.599263 | − | 2.37981i | 0.0322632 | − | 0.128125i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 10.3613 | + | 7.25503i | 0.556221 | + | 0.389470i | 0.817618 | − | 0.575761i | \(-0.195294\pi\) |
−0.261397 | + | 0.965231i | \(0.584183\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −16.7762 | − | 9.68572i | −0.898007 | − | 0.518465i | −0.0214539 | − | 0.999770i | \(-0.506830\pi\) |
−0.876553 | + | 0.481305i | \(0.840163\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −3.93244 | − | 3.29971i | −0.209898 | − | 0.176125i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 8.09827 | − | 30.2232i | 0.431028 | − | 1.60862i | −0.319370 | − | 0.947630i | \(-0.603471\pi\) |
0.750397 | − | 0.660987i | \(-0.229862\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.79510 | − | 1.84003i | 0.201423 | − | 0.0976585i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.0712371 | − | 0.0498807i | 0.00377027 | − | 0.00263997i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −18.4166 | − | 21.9481i | −0.971991 | − | 1.15837i | −0.987360 | − | 0.158492i | \(-0.949337\pi\) |
0.0153687 | − | 0.999882i | \(-0.495108\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −18.7039 | + | 3.34120i | −0.984417 | + | 0.175852i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0.237397 | − | 2.71346i | 0.0124601 | − | 0.142420i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 17.0580 | + | 19.7159i | 0.892859 | + | 1.03198i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 13.3042 | − | 28.5310i | 0.694476 | − | 1.48931i | −0.169370 | − | 0.985553i | \(-0.554173\pi\) |
0.863846 | − | 0.503756i | \(-0.168049\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 10.0794 | + | 17.4580i | 0.524711 | + | 0.908825i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 4.64897 | − | 5.54043i | 0.241363 | − | 0.287645i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −2.94672 | − | 10.9973i | −0.152575 | − | 0.569419i | −0.999301 | − | 0.0373890i | \(-0.988096\pi\) |
0.846725 | − | 0.532030i | \(-0.178571\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −0.827964 | + | 2.64177i | −0.0427559 | + | 0.136421i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −4.86919 | + | 2.27054i | −0.250776 | + | 0.116939i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 22.9659 | 1.17968 | 0.589839 | − | 0.807521i | \(-0.299191\pi\) | ||||
0.589839 | + | 0.807521i | \(0.299191\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 2.02879 | 0.103938 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 12.6771 | − | 5.91143i | 0.647769 | − | 0.302060i | −0.0708256 | − | 0.997489i | \(-0.522563\pi\) |
0.718595 | + | 0.695429i | \(0.244786\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.00565595 | − | 0.0101476i | 0.000288254 | − | 0.000517170i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −5.25830 | − | 19.6242i | −0.267294 | − | 0.997556i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −0.108752 | + | 0.129605i | −0.00551394 | + | 0.00657126i | −0.768794 | − | 0.639496i | \(-0.779143\pi\) |
0.763280 | + | 0.646067i | \(0.223587\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.563299 | + | 0.975662i | 0.0284872 | + | 0.0493413i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 1.40851 | − | 3.02056i | 0.0710500 | − | 0.152367i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −24.4105 | − | 1.76427i | −1.22822 | − | 0.0887702i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 1.12109 | − | 12.8142i | 0.0562661 | − | 0.643124i | −0.914736 | − | 0.404053i | \(-0.867601\pi\) |
0.971002 | − | 0.239072i | \(-0.0768432\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −1.05334 | + | 1.05570i | −0.0527330 | + | 0.0528512i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 5.46417 | + | 6.51194i | 0.272867 | + | 0.325191i | 0.885024 | − | 0.465546i | \(-0.154142\pi\) |
−0.612156 | + | 0.790737i | \(0.709698\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.24786 | + | 0.873760i | −0.0621603 | + | 0.0435251i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 8.24509 | + | 17.0057i | 0.409702 | + | 0.845019i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −0.000683155 | 0.00254957i | −3.38627e−5 | 0.000126377i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −0.525221 | − | 0.440713i | −0.0259705 | − | 0.0217919i | 0.629710 | − | 0.776830i | \(-0.283174\pi\) |
−0.655681 | + | 0.755038i | \(0.727618\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 3.05319 | + | 1.76276i | 0.150603 | + | 0.0869505i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 10.4624 | + | 7.32584i | 0.514820 | + | 0.360481i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.34741 | − | 1.40301i | 0.115230 | − | 0.0688711i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0.263332 | + | 0.263332i | 0.0128954 | + | 0.0128954i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − | 22.9059i | − | 1.11903i | −0.828821 | − | 0.559514i | \(-0.810988\pi\) | ||
0.828821 | − | 0.559514i | \(-0.189012\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.94071 | + | 8.07954i | −0.143322 | + | 0.393773i | −0.990496 | − | 0.137542i | \(-0.956080\pi\) |
0.847174 | + | 0.531315i | \(0.178302\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 4.58301 | − | 6.54522i | 0.222834 | − | 0.318240i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −0.571687 | − | 1.13508i | −0.0277309 | − | 0.0550595i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −7.13244 | + | 0.624007i | −0.345163 | + | 0.0301978i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −0.00281491 | + | 0.00162519i | −0.000135905 | + | 7.84649e-5i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 10.5001 | + | 28.8487i | 0.505771 | + | 1.38959i | 0.885562 | + | 0.464522i | \(0.153774\pi\) |
−0.379791 | + | 0.925073i | \(0.624004\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −9.38437 | − | 13.4023i | −0.450984 | − | 0.644072i | 0.527703 | − | 0.849429i | \(-0.323053\pi\) |
−0.978687 | + | 0.205357i | \(0.934164\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.852062 | + | 0.0128813i | −0.0408533 | + | 0.000617613i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −12.4349 | − | 14.7857i | −0.594844 | − | 0.707298i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 8.34650 | − | 7.00355i | 0.398357 | − | 0.334261i | −0.421501 | − | 0.906828i | \(-0.638497\pi\) |
0.819858 | + | 0.572567i | \(0.194052\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −2.59790 | + | 14.7334i | −0.123710 | + | 0.701592i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 19.2375 | + | 8.97058i | 0.913999 | + | 0.426205i | 0.821957 | − | 0.569550i | \(-0.192883\pi\) |
0.0920428 | + | 0.995755i | \(0.470660\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −8.39956 | + | 6.07270i | −0.398177 | + | 0.287874i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0.407664 | + | 4.65962i | 0.0192818 | + | 0.220392i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 1.99367 | − | 3.45313i | 0.0940869 | − | 0.162963i | −0.815140 | − | 0.579264i | \(-0.803340\pi\) |
0.909227 | + | 0.416300i | \(0.136674\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.0254026 | − | 0.00447916i | 0.00119616 | − | 0.000210915i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 1.93778 | + | 4.15557i | 0.0910446 | + | 0.195246i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 10.7286 | − | 1.10228i | 0.502965 | − | 0.0516758i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.31243 | − | 1.31243i | 0.0613930 | − | 0.0613930i | −0.675744 | − | 0.737137i | \(-0.736177\pi\) |
0.737137 | + | 0.675744i | \(0.236177\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0.351245 | + | 0.127843i | 0.0163947 | + | 0.00596719i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 0.247028 | + | 1.40097i | 0.0115052 | + | 0.0652494i | 0.990020 | − | 0.140928i | \(-0.0450087\pi\) |
−0.978515 | + | 0.206178i | \(0.933898\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −2.07021 | + | 0.554712i | −0.0962110 | + | 0.0257797i | −0.306603 | − | 0.951837i | \(-0.599193\pi\) |
0.210392 | + | 0.977617i | \(0.432526\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −0.237292 | + | 0.0455498i | −0.0110042 | + | 0.00211232i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −5.12937 | − | 1.37441i | −0.237359 | − | 0.0636001i | 0.138179 | − | 0.990407i | \(-0.455875\pi\) |
−0.375537 | + | 0.926807i | \(0.622542\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −15.0481 | + | 5.47704i | −0.694855 | + | 0.252906i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −0.157869 | − | 0.0278365i | −0.00727421 | − | 0.00128264i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −0.0258974 | − | 0.00226573i | −0.00119076 | − | 0.000104178i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 13.0543 | + | 17.4524i | 0.598973 | + | 0.800769i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 15.3243 | + | 1.34070i | 0.701649 | + | 0.0613864i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −6.73006 | − | 1.18669i | −0.307504 | − | 0.0542213i | 0.0177666 | − | 0.999842i | \(-0.494344\pi\) |
−0.325271 | + | 0.945621i | \(0.605456\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.30263 | + | 0.838089i | −0.104991 | + | 0.0382136i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −1.46473 | − | 0.392474i | −0.0666477 | − | 0.0178582i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −38.6181 | + | 7.41299i | −1.75356 | + | 0.336607i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −37.1686 | + | 9.95929i | −1.68427 | + | 0.451298i | −0.968901 | − | 0.247449i | \(-0.920408\pi\) |
−0.715368 | + | 0.698748i | \(0.753741\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0.454671 | + | 2.57857i | 0.0205609 | + | 0.116607i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −22.0874 | − | 8.03917i | −0.996792 | − | 0.362803i | −0.208446 | − | 0.978034i | \(-0.566840\pi\) |
−0.788347 | + | 0.615231i | \(0.789063\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.276619 | − | 0.276619i | 0.0124583 | − | 0.0124583i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0.0245795 | − | 0.00252536i | 0.00110477 | − | 0.000113507i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −1.10139 | − | 2.36193i | −0.0494039 | − | 0.105947i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −32.5945 | + | 5.74730i | −1.45913 | + | 0.257284i | −0.846206 | − | 0.532856i | \(-0.821119\pi\) |
−0.612926 | + | 0.790140i | \(0.710008\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −2.75860 | + | 4.77803i | −0.123245 | + | 0.213467i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 1.74190 | + | 19.9100i | 0.0776675 | + | 0.887744i | 0.930675 | + | 0.365846i | \(0.119220\pi\) |
−0.853008 | + | 0.521898i | \(0.825224\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −12.4517 | + | 9.00231i | −0.554093 | + | 0.400598i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0.182669 | + | 0.0851798i | 0.00811260 | + | 0.00378297i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −4.71059 | + | 26.7151i | −0.208793 | + | 1.18412i | 0.682565 | + | 0.730825i | \(0.260864\pi\) |
−0.891358 | + | 0.453300i | \(0.850247\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 12.3405 | − | 10.3549i | 0.545912 | − | 0.458074i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −6.31380 | − | 1.10601i | −0.278761 | − | 0.0488314i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 21.3201 | − | 0.322315i | 0.939478 | − | 0.0142029i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.00586428 | − | 0.00837505i | −0.000257911 | − | 0.000368334i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 1.36196 | + | 3.74195i | 0.0597834 | + | 0.164254i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 27.7266 | − | 16.0080i | 1.21472 | − | 0.701321i | 0.250939 | − | 0.968003i | \(-0.419261\pi\) |
0.963785 | + | 0.266682i | \(0.0859273\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 26.9256 | − | 2.35568i | 1.17737 | − | 0.103007i | 0.518376 | − | 0.855153i | \(-0.326537\pi\) |
0.658997 | + | 0.752146i | \(0.270981\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 1.62445 | + | 0.536220i | 0.0708967 | + | 0.0234026i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 0.0636222 | − | 0.0908619i | 0.00277143 | − | 0.00395801i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −1.14764 | + | 3.15310i | −0.0498972 | + | 0.137091i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 27.1651i | 1.17887i | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 16.9327 | + | 16.9327i | 0.733437 | + | 0.733437i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 20.7722 | − | 12.4152i | 0.898061 | − | 0.536758i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0.139074 | + | 0.0973808i | 0.00600150 | + | 0.00420229i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0.0165786 | + | 0.00957163i | 0.000714089 | + | 0.000412279i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −17.0675 | − | 14.3213i | −0.733789 | − | 0.615722i | 0.197373 | − | 0.980328i | \(-0.436759\pi\) |
−0.931162 | + | 0.364607i | \(0.881203\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −1.00287 | + | 3.74274i | −0.0430371 | + | 0.160617i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 1.93230 | + | 3.98541i | 0.0827706 | + | 0.170716i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 10.5350 | − | 7.37668i | 0.450444 | − | 0.315404i | −0.326249 | − | 0.945284i | \(-0.605785\pi\) |
0.776693 | + | 0.629880i | \(0.216896\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −9.78829 | − | 11.6652i | −0.417754 | − | 0.497860i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −3.84169 | + | 5.49959i | −0.163662 | + | 0.234291i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.31803 | + | 15.0652i | −0.0560484 | + | 0.640636i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −0.387657 | − | 0.0280180i | −0.0164551 | − | 0.00118930i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 0.990166 | − | 2.12342i | 0.0419547 | − | 0.0899721i | −0.884213 | − | 0.467083i | \(-0.845305\pi\) |
0.926168 | + | 0.377111i | \(0.123083\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −12.0669 | − | 20.9006i | −0.510377 | − | 0.883999i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0.000152131 | 0 | 0.000181303i | 6.42298e−6 | 0 | 7.65461e-6i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 9.53675 | + | 35.5916i | 0.401926 | + | 1.50001i | 0.809656 | + | 0.586905i | \(0.199654\pi\) |
−0.407730 | + | 0.913103i | \(0.633679\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −3.08410 | + | 5.53334i | −0.129749 | + | 0.232789i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 10.5837 | − | 4.93527i | 0.444474 | − | 0.207262i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 3.63395 | 0.152343 | 0.0761715 | − | 0.997095i | \(-0.475730\pi\) | ||||
0.0761715 | + | 0.997095i | \(0.475730\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.09587 | 0.0877092 | 0.0438546 | − | 0.999038i | \(-0.486036\pi\) | ||||
0.0438546 | + | 0.999038i | \(0.486036\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 4.52203 | − | 2.10866i | 0.188910 | − | 0.0880904i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −8.75426 | + | 20.3587i | −0.365078 | + | 0.849016i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −10.5659 | − | 39.4324i | −0.439864 | − | 1.64159i | −0.729152 | − | 0.684352i | \(-0.760085\pi\) |
0.289288 | − | 0.957242i | \(-0.406582\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −1.16688 | + | 1.39063i | −0.0484938 | + | 0.0577926i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −0.844904 | − | 1.46342i | −0.0350525 | − | 0.0607127i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.00831853 | − | 0.0178391i | 0.000344518 | − | 0.000738822i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 15.0087 | + | 17.3472i | 0.620532 | + | 0.717218i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −3.56346 | + | 40.7305i | −0.147080 | + | 1.68113i | 0.461116 | + | 0.887340i | \(0.347449\pi\) |
−0.608195 | + | 0.793787i | \(0.708106\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.801956 | + | 1.72484i | −0.0330440 | + | 0.0710707i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −2.15147 | − | 2.56402i | −0.0884996 | − | 0.105470i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −13.5858 | + | 9.51289i | −0.557902 | + | 0.390647i | −0.818246 | − | 0.574869i | \(-0.805053\pi\) |
0.260343 | + | 0.965516i | \(0.416164\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.706633 | + | 0.342606i | −0.0289691 | + | 0.0140455i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −0.600419 | + | 2.24079i | −0.0245735 | + | 0.0917096i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 5.17412 | + | 4.34161i | 0.211409 | + | 0.177393i | 0.742343 | − | 0.670020i | \(-0.233714\pi\) |
−0.530934 | + | 0.847413i | \(0.678159\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 10.6978 | + | 6.17636i | 0.436371 | + | 0.251939i | 0.702057 | − | 0.712121i | \(-0.252265\pi\) |
−0.265686 | + | 0.964060i | \(0.585598\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −27.9000 | − | 19.5358i | −1.13618 | − | 0.795560i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −6.00623 | + | 23.8521i | −0.244188 | + | 0.969727i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −12.9734 | − | 12.9734i | −0.526575 | − | 0.526575i | 0.392974 | − | 0.919549i | \(-0.371446\pi\) |
−0.919549 | + | 0.392974i | \(0.871446\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0.526554i | 0.0213371i | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 3.24631 | − | 8.91916i | 0.131332 | − | 0.360831i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 7.42093 | − | 10.5982i | 0.299728 | − | 0.428057i | −0.640833 | − | 0.767680i | \(-0.721411\pi\) |
0.940561 | + | 0.339624i | \(0.110300\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 1.35288 | + | 3.54913i | 0.0545532 | + | 0.143115i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 18.2229 | − | 1.59429i | 0.733625 | − | 0.0641839i | 0.285780 | − | 0.958295i | \(-0.407747\pi\) |
0.447845 | + | 0.894111i | \(0.352192\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −33.0921 | + | 19.1058i | −1.33009 | + | 0.767925i | −0.985313 | − | 0.170761i | \(-0.945377\pi\) |
−0.344773 | + | 0.938686i | \(0.612044\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −2.22920 | − | 6.12468i | −0.0894548 | − | 0.245775i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 3.67347 | + | 5.24626i | 0.147175 | + | 0.210187i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 11.1688 | − | 22.3664i | 0.446752 | − | 0.894658i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −0.00202538 | + | 0.00351715i | −8.08859e−5 | + | 0.000140461i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 0.136681 | − | 0.114689i | 0.00544983 | − | 0.00457295i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4.96956 | + | 28.1838i | −0.197835 | + | 1.12198i | 0.710488 | + | 0.703709i | \(0.248474\pi\) |
−0.908323 | + | 0.418269i | \(0.862637\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 5.27051 | + | 2.45768i | 0.209484 | + | 0.0976840i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −18.0881 | − | 2.90822i | −0.717805 | − | 0.115409i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.54891 | + | 17.7042i | 0.0613702 | + | 0.701464i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 2.77145 | − | 4.80029i | 0.109637 | − | 0.189897i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 22.8527 | − | 4.02955i | 0.902628 | − | 0.159158i | 0.296974 | − | 0.954886i | \(-0.404023\pi\) |
0.605654 | + | 0.795728i | \(0.292911\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −11.8294 | − | 25.3681i | −0.466504 | − | 1.00042i | −0.989019 | − | 0.147791i | \(-0.952784\pi\) |
0.522514 | − | 0.852631i | \(-0.324994\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −0.391234 | − | 3.80792i | −0.0154048 | − | 0.149937i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −23.6174 | + | 23.6174i | −0.928497 | + | 0.928497i | −0.997609 | − | 0.0691115i | \(-0.977984\pi\) |
0.0691115 | + | 0.997609i | \(0.477984\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.0326633 | + | 0.0118885i | 0.00128215 | + | 0.000466664i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.0259259 | + | 0.147033i | 0.00101612 | + | 0.00576268i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 18.8022 | − | 5.03802i | 0.735785 | − | 0.197153i | 0.128581 | − | 0.991699i | \(-0.458958\pi\) |
0.607204 | + | 0.794546i | \(0.292291\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −16.8878 | + | 24.9114i | −0.659861 | + | 0.973370i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 33.0954 | + | 8.86790i | 1.29118 | + | 0.345970i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 2.29597 | − | 0.835666i | 0.0894384 | − | 0.0325529i | −0.296913 | − | 0.954904i | \(-0.595957\pi\) |
0.386352 | + | 0.922351i | \(0.373735\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −18.5356 | − | 3.26833i | −0.720953 | − | 0.127123i | −0.198879 | − | 0.980024i | \(-0.563730\pi\) |
−0.522073 | + | 0.852901i | \(0.674841\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0.218882 | + | 0.0191497i | 0.00850067 | + | 0.000743712i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 10.9046 | − | 7.90240i | 0.422863 | − | 0.306442i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −6.79539 | − | 0.594520i | −0.263119 | − | 0.0230199i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 4.32241 | + | 0.762158i | 0.167114 | + | 0.0294667i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −0.0183100 | + | 0.00666430i | −0.000706850 | + | 0.000257272i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −4.32141 | − | 1.15792i | −0.166578 | − | 0.0446345i | 0.174566 | − | 0.984645i | \(-0.444148\pi\) |
−0.341144 | + | 0.940011i | \(0.610814\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 2.11684 | + | 7.04139i | 0.0814772 | + | 0.271023i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −23.8513 | + | 6.39095i | −0.916682 | + | 0.245624i | −0.686166 | − | 0.727445i | \(-0.740708\pi\) |
−0.230515 | + | 0.973069i | \(0.574041\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 4.21930 | + | 23.9289i | 0.161922 | + | 0.918305i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −5.11929 | − | 1.86327i | −0.196172 | − | 0.0714006i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −30.5345 | + | 30.5345i | −1.16837 | + | 1.16837i | −0.185781 | + | 0.982591i | \(0.559481\pi\) |
−0.982591 | + | 0.185781i | \(0.940519\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −24.6945 | − | 20.0929i | −0.943528 | − | 0.767711i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −0.679018 | − | 1.45616i | −0.0259062 | − | 0.0555559i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 17.9955 | − | 3.17310i | 0.685576 | − | 0.120885i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 9.33721 | − | 16.1725i | 0.355204 | − | 0.615231i | −0.631949 | − | 0.775010i | \(-0.717745\pi\) |
0.987153 | + | 0.159779i | \(0.0510781\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −0.00133068 | − | 0.0152097i | −5.05482e−5 | − | 0.000577769i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −1.97032 | − | 2.72528i | −0.0747384 | − | 0.103376i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.58028 | − | 0.736896i | −0.0598573 | − | 0.0279119i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0.466786 | − | 2.64728i | 0.0176555 | − | 0.100129i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −4.25437 | + | 3.56984i | −0.160685 | + | 0.134831i | −0.719585 | − | 0.694404i | \(-0.755668\pi\) |
0.558900 | + | 0.829235i | \(0.311224\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.96413 | + | 2.34609i | −0.0740787 | + | 0.0884846i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 1.04833 | − | 1.08051i | 0.0394824 | − | 0.0406945i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 5.44564 | + | 7.77718i | 0.204804 | + | 0.292491i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −11.7377 | − | 32.2491i | −0.440819 | − | 1.21114i | −0.938954 | − | 0.344041i | \(-0.888204\pi\) |
0.498135 | − | 0.867099i | \(-0.334018\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −27.8552 | + | 16.0822i | −1.04465 | + | 0.603130i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −1.92679 | + | 0.168572i | −0.0721589 | + | 0.00631309i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.0274266 | − | 0.0104546i | 0.00102570 | − | 0.000390981i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0.962617 | − | 1.37476i | 0.0359496 | − | 0.0513414i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 7.96206 | − | 21.8756i | 0.296935 | − | 0.815821i | −0.698073 | − | 0.716026i | \(-0.745959\pi\) |
0.995008 | − | 0.0997949i | \(-0.0318187\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | − | 13.1753i | − | 0.490676i | ||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −1.62885 | − | 1.62885i | −0.0605776 | − | 0.0605776i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 7.61521 | + | 1.10656i | 0.282822 | + | 0.0410967i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 2.78300 | + | 1.94868i | 0.103216 | + | 0.0722724i | 0.624045 | − | 0.781389i | \(-0.285488\pi\) |
−0.520829 | + | 0.853661i | \(0.674377\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 20.5639 | + | 11.8726i | 0.761625 | + | 0.439724i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 1.34616 | + | 1.12956i | 0.0497896 | + | 0.0417785i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 2.26756 | − | 8.46264i | 0.0837541 | − | 0.312575i | −0.911321 | − | 0.411696i | \(-0.864937\pi\) |
0.995075 | + | 0.0991214i | \(0.0316032\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −0.923952 | + | 2.66312i | −0.0340805 | + | 0.0982307i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −0.0357000 | + | 0.0249974i | −0.00131503 | + | 0.000920791i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 30.1312 | + | 35.9090i | 1.10839 | + | 1.32093i | 0.942280 | + | 0.334826i | \(0.108678\pi\) |
0.166114 | + | 0.986107i | \(0.446878\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −3.75315 | + | 0.332592i | −0.137875 | + | 0.0122181i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 3.63498 | − | 41.5481i | 0.133355 | − | 1.52425i | −0.574859 | − | 0.818252i | \(-0.694943\pi\) |
0.708214 | − | 0.705998i | \(-0.249501\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 3.04483 | − | 42.1282i | 0.111554 | − | 1.54346i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 1.51891 | − | 3.25731i | 0.0555739 | − | 0.119179i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −7.47656 | − | 12.9498i | −0.273187 | − | 0.473174i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 18.3100 | − | 21.8210i | 0.668140 | − | 0.796259i | −0.320389 | − | 0.947286i | \(-0.603814\pi\) |
0.988530 | + | 0.151027i | \(0.0482582\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 1.02524 | + | 3.82625i | 0.0373618 | + | 0.139436i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −11.3198 | − | 39.8277i | −0.411968 | − | 1.44948i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 43.1368 | − | 20.1150i | 1.56783 | − | 0.731092i | 0.571826 | − | 0.820375i | \(-0.306235\pi\) |
0.996006 | + | 0.0892829i | \(0.0284575\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −0.00412690 | −0.000149797 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 48.8091 | 1.76933 | 0.884665 | − | 0.466227i | \(-0.154387\pi\) | ||||
0.884665 | + | 0.466227i | \(0.154387\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 2.48037 | − | 1.15662i | 0.0897956 | − | 0.0418724i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −1.45895 | − | 0.813172i | −0.0527485 | − | 0.0294003i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 8.35192 | + | 31.1698i | 0.301570 | + | 1.12548i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 6.31154 | − | 7.52180i | 0.227600 | − | 0.271243i | −0.640144 | − | 0.768255i | \(-0.721125\pi\) |
0.867744 | + | 0.497012i | \(0.165570\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 3.36418 | + | 5.82693i | 0.121158 | + | 0.209852i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 4.16337 | − | 8.92837i | 0.149746 | − | 0.321131i | −0.817098 | − | 0.576499i | \(-0.804419\pi\) |
0.966844 | + | 0.255367i | \(0.0821964\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.18093 | − | 0.0659569i | 0.0783412 | − | 0.00236924i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −0.0209313 | + | 0.239246i | −0.000750907 | + | 0.00858291i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 28.8909 | + | 7.70663i | 1.03512 | + | 0.276119i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.00455898 | − | 0.00543318i | −0.000163133 | − | 0.000194415i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −1.85392 | + | 1.29813i | −0.0662536 | + | 0.0463913i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 1.36761 | + | 0.474484i | 0.0488121 | + | 0.0169350i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 7.96060 | − | 29.7093i | 0.283765 | − | 1.05902i | −0.665973 | − | 0.745976i | \(-0.731983\pi\) |
0.949737 | − | 0.313048i | \(-0.101350\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −0.678166 | − | 0.569049i | −0.0241434 | − | 0.0202587i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 3.38988 | + | 1.9571 |