Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [513,2,Mod(235,513)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(513, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("513.235");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 513 = 3^{3} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 513.h (of order \(3\), degree \(2\), 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: | \(4.09632562369\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{3})\) |
Twist minimal: | no (minimal twist has level 171) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 235.13 | ||
Character | \(\chi\) | \(=\) | 513.235 |
Dual form | 513.2.h.c.334.13 |
$q$-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 \(\left(\mathbb{Z}/513\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.02031 | 1.42858 | 0.714288 | − | 0.699852i | \(-0.246751\pi\) | ||||
0.714288 | + | 0.699852i | \(0.246751\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 2.08166 | 1.04083 | ||||||||
\(5\) | −2.09369 | + | 3.62638i | −0.936328 | + | 1.62177i | −0.164079 | + | 0.986447i | \(0.552465\pi\) |
−0.772249 | + | 0.635321i | \(0.780868\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.976107 | + | 1.69067i | −0.368934 | + | 0.639012i | −0.989399 | − | 0.145222i | \(-0.953610\pi\) |
0.620465 | + | 0.784234i | \(0.286944\pi\) | |||||||
\(8\) | 0.164982 | 0.0583299 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −4.22991 | + | 7.32643i | −1.33762 | + | 2.31682i | ||||
\(11\) | 0.669450 | − | 1.15952i | 0.201847 | − | 0.349609i | −0.747277 | − | 0.664513i | \(-0.768639\pi\) |
0.949124 | + | 0.314904i | \(0.101972\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.95110 | 0.541138 | 0.270569 | − | 0.962701i | \(-0.412788\pi\) | ||||
0.270569 | + | 0.962701i | \(0.412788\pi\) | |||||||
\(14\) | −1.97204 | + | 3.41568i | −0.527050 | + | 0.912878i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.83001 | −0.957502 | ||||||||
\(17\) | 3.34047 | + | 5.78587i | 0.810184 | + | 1.40328i | 0.912735 | + | 0.408551i | \(0.133966\pi\) |
−0.102552 | + | 0.994728i | \(0.532701\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.11317 | + | 1.44285i | 0.943626 | + | 0.331012i | ||||
\(20\) | −4.35836 | + | 7.54890i | −0.974559 | + | 1.68799i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.35250 | − | 2.34260i | 0.288354 | − | 0.499443i | ||||
\(23\) | 1.97253 | 0.411301 | 0.205651 | − | 0.978625i | \(-0.434069\pi\) | ||||
0.205651 | + | 0.978625i | \(0.434069\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −6.26710 | − | 10.8549i | −1.25342 | − | 2.17099i | ||||
\(26\) | 3.94183 | 0.773056 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.03192 | + | 3.51940i | −0.383998 | + | 0.665103i | ||||
\(29\) | −2.95031 | − | 5.11009i | −0.547859 | − | 0.948920i | −0.998421 | − | 0.0561744i | \(-0.982110\pi\) |
0.450562 | − | 0.892745i | \(-0.351224\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.385886 | − | 0.668373i | −0.0693071 | − | 0.120043i | 0.829289 | − | 0.558819i | \(-0.188746\pi\) |
−0.898596 | + | 0.438776i | \(0.855412\pi\) | |||||||
\(32\) | −8.06778 | −1.42619 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 6.74880 | + | 11.6893i | 1.15741 | + | 2.00469i | ||||
\(35\) | −4.08734 | − | 7.07948i | −0.690886 | − | 1.19665i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.26011 | 0.371560 | 0.185780 | − | 0.982591i | \(-0.440519\pi\) | ||||
0.185780 | + | 0.982591i | \(0.440519\pi\) | |||||||
\(38\) | 8.30989 | + | 2.91500i | 1.34804 | + | 0.472876i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.345421 | + | 0.598288i | −0.0546159 | + | 0.0945976i | ||||
\(41\) | 3.79845 | − | 6.57911i | 0.593219 | − | 1.02749i | −0.400577 | − | 0.916263i | \(-0.631190\pi\) |
0.993796 | − | 0.111222i | \(-0.0354764\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.95603 | 1.21328 | 0.606642 | − | 0.794975i | \(-0.292516\pi\) | ||||
0.606642 | + | 0.794975i | \(0.292516\pi\) | |||||||
\(44\) | 1.39357 | − | 2.41373i | 0.210088 | − | 0.363884i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.98513 | 0.587576 | ||||||||
\(47\) | −0.553869 | − | 0.959330i | −0.0807902 | − | 0.139933i | 0.822799 | − | 0.568332i | \(-0.192411\pi\) |
−0.903590 | + | 0.428399i | \(0.859078\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.59443 | + | 2.76163i | 0.227776 | + | 0.394519i | ||||
\(50\) | −12.6615 | − | 21.9304i | −1.79061 | − | 3.10142i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 4.06153 | 0.563233 | ||||||||
\(53\) | −3.75226 | + | 6.49910i | −0.515412 | + | 0.892721i | 0.484427 | + | 0.874831i | \(0.339028\pi\) |
−0.999840 | + | 0.0178892i | \(0.994305\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.80325 | + | 4.85537i | 0.377990 | + | 0.654697i | ||||
\(56\) | −0.161040 | + | 0.278929i | −0.0215199 | + | 0.0372735i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −5.96055 | − | 10.3240i | −0.782658 | − | 1.35560i | ||||
\(59\) | 0.506996 | − | 0.878143i | 0.0660053 | − | 0.114325i | −0.831134 | − | 0.556072i | \(-0.812308\pi\) |
0.897139 | + | 0.441747i | \(0.145641\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.166041 | − | 0.287591i | −0.0212593 | − | 0.0368222i | 0.855200 | − | 0.518298i | \(-0.173434\pi\) |
−0.876459 | + | 0.481476i | \(0.840101\pi\) | |||||||
\(62\) | −0.779609 | − | 1.35032i | −0.0990105 | − | 0.171491i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −8.63941 | −1.07993 | ||||||||
\(65\) | −4.08500 | + | 7.07543i | −0.506682 | + | 0.877599i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 12.9089 | 1.57708 | 0.788539 | − | 0.614984i | \(-0.210838\pi\) | ||||
0.788539 | + | 0.614984i | \(0.210838\pi\) | |||||||
\(68\) | 6.95373 | + | 12.0442i | 0.843264 | + | 1.46058i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −8.25770 | − | 14.3028i | −0.986984 | − | 1.70951i | ||||
\(71\) | −1.81291 | − | 3.14004i | −0.215152 | − | 0.372655i | 0.738167 | − | 0.674618i | \(-0.235691\pi\) |
−0.953320 | + | 0.301963i | \(0.902358\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.48182 | − | 4.29864i | −0.290475 | − | 0.503118i | 0.683447 | − | 0.730000i | \(-0.260480\pi\) |
−0.973922 | + | 0.226882i | \(0.927147\pi\) | |||||||
\(74\) | 4.56613 | 0.530801 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 8.56223 | + | 3.00352i | 0.982156 | + | 0.344528i | ||||
\(77\) | 1.30691 | + | 2.26363i | 0.148936 | + | 0.257965i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.17682 | 0.582438 | 0.291219 | − | 0.956656i | \(-0.405939\pi\) | ||||
0.291219 | + | 0.956656i | \(0.405939\pi\) | |||||||
\(80\) | 8.01886 | − | 13.8891i | 0.896536 | − | 1.55285i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 7.67406 | − | 13.2919i | 0.847458 | − | 1.46784i | ||||
\(83\) | −6.30706 | + | 10.9242i | −0.692290 | + | 1.19908i | 0.278796 | + | 0.960350i | \(0.410065\pi\) |
−0.971086 | + | 0.238731i | \(0.923269\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −27.9757 | −3.03439 | ||||||||
\(86\) | 16.0737 | 1.73327 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.110447 | − | 0.191300i | 0.0117737 | − | 0.0203927i | ||||
\(89\) | −0.569098 | + | 0.985707i | −0.0603243 | + | 0.104485i | −0.894610 | − | 0.446847i | \(-0.852547\pi\) |
0.834286 | + | 0.551332i | \(0.185880\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.90448 | + | 3.29866i | −0.199644 | + | 0.345793i | ||||
\(92\) | 4.10614 | 0.428095 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.11899 | − | 1.93815i | −0.115415 | − | 0.199904i | ||||
\(95\) | −13.8440 | + | 11.8951i | −1.42037 | + | 1.22041i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.75873 | −0.381641 | −0.190821 | − | 0.981625i | \(-0.561115\pi\) | ||||
−0.190821 | + | 0.981625i | \(0.561115\pi\) | |||||||
\(98\) | 3.22125 | + | 5.57936i | 0.325395 | + | 0.563601i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −13.0460 | − | 22.5963i | −1.30460 | − | 2.25963i | ||||
\(101\) | −4.14343 | − | 7.17663i | −0.412287 | − | 0.714102i | 0.582853 | − | 0.812578i | \(-0.301937\pi\) |
−0.995139 | + | 0.0984762i | \(0.968603\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.96614 | + | 3.40546i | 0.193730 | + | 0.335550i | 0.946483 | − | 0.322752i | \(-0.104608\pi\) |
−0.752754 | + | 0.658302i | \(0.771275\pi\) | |||||||
\(104\) | 0.321896 | 0.0315645 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −7.58074 | + | 13.1302i | −0.736306 | + | 1.27532i | ||||
\(107\) | 0.188538 | 0.0182266 | 0.00911332 | − | 0.999958i | \(-0.497099\pi\) | ||||
0.00911332 | + | 0.999958i | \(0.497099\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.08750 | − | 1.88361i | −0.104164 | − | 0.180417i | 0.809233 | − | 0.587488i | \(-0.199883\pi\) |
−0.913396 | + | 0.407072i | \(0.866550\pi\) | |||||||
\(110\) | 5.66343 | + | 9.80936i | 0.539987 | + | 0.935285i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 3.73850 | − | 6.47527i | 0.353255 | − | 0.611855i | ||||
\(113\) | −6.33171 | − | 10.9669i | −0.595638 | − | 1.03167i | −0.993457 | − | 0.114211i | \(-0.963566\pi\) |
0.397819 | − | 0.917464i | \(-0.369767\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.12988 | + | 7.15316i | −0.385113 | + | 0.667035i | ||||
\(116\) | −6.14155 | − | 10.6375i | −0.570228 | − | 0.987665i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.02429 | − | 1.77412i | 0.0942936 | − | 0.163321i | ||||
\(119\) | −13.0426 | −1.19562 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.60367 | + | 7.97379i | 0.418516 | + | 0.724890i | ||||
\(122\) | −0.335454 | − | 0.581023i | −0.0303706 | − | 0.0526033i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.803283 | − | 1.39133i | −0.0721370 | − | 0.124945i | ||||
\(125\) | 31.5486 | 2.82179 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.35619 | + | 4.08103i | −0.209078 | + | 0.362133i | −0.951424 | − | 0.307883i | \(-0.900379\pi\) |
0.742347 | + | 0.670016i | \(0.233713\pi\) | |||||||
\(128\) | −1.31876 | −0.116563 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −8.25298 | + | 14.2946i | −0.723834 | + | 1.25372i | ||||
\(131\) | 9.45102 | − | 16.3697i | 0.825740 | − | 1.43022i | −0.0756127 | − | 0.997137i | \(-0.524091\pi\) |
0.901353 | − | 0.433086i | \(-0.142575\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −6.45427 | + | 5.54563i | −0.559656 | + | 0.480867i | ||||
\(134\) | 26.0801 | 2.25298 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.551117 | + | 0.954564i | 0.0472579 | + | 0.0818531i | ||||
\(137\) | 2.83481 | + | 4.91003i | 0.242194 | + | 0.419492i | 0.961339 | − | 0.275368i | \(-0.0887996\pi\) |
−0.719145 | + | 0.694860i | \(0.755466\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −7.16307 | −0.607564 | −0.303782 | − | 0.952742i | \(-0.598249\pi\) | ||||
−0.303782 | + | 0.952742i | \(0.598249\pi\) | |||||||
\(140\) | −8.50845 | − | 14.7371i | −0.719095 | − | 1.24551i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −3.66263 | − | 6.34387i | −0.307361 | − | 0.532366i | ||||
\(143\) | 1.30616 | − | 2.26234i | 0.109227 | − | 0.189187i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 24.7082 | 2.05190 | ||||||||
\(146\) | −5.01405 | − | 8.68460i | −0.414966 | − | 0.718742i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.70478 | 0.386731 | ||||||||
\(149\) | −9.01546 | + | 15.6152i | −0.738576 | + | 1.27925i | 0.214561 | + | 0.976711i | \(0.431168\pi\) |
−0.953137 | + | 0.302540i | \(0.902165\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.24064 | + | 5.61296i | −0.263720 | + | 0.456776i | −0.967227 | − | 0.253911i | \(-0.918283\pi\) |
0.703508 | + | 0.710688i | \(0.251616\pi\) | |||||||
\(152\) | 0.678599 | + | 0.238044i | 0.0550416 | + | 0.0193079i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 2.64037 | + | 4.57325i | 0.212767 | + | 0.368523i | ||||
\(155\) | 3.23170 | 0.259577 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.136893 | − | 0.237105i | 0.0109252 | − | 0.0189231i | −0.860511 | − | 0.509432i | \(-0.829856\pi\) |
0.871436 | + | 0.490509i | \(0.163189\pi\) | |||||||
\(158\) | 10.4588 | 0.832057 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 16.8914 | − | 29.2568i | 1.33539 | − | 2.31296i | ||||
\(161\) | −1.92540 | + | 3.33490i | −0.151743 | + | 0.262827i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −8.01750 | −0.627979 | −0.313989 | − | 0.949426i | \(-0.601666\pi\) | ||||
−0.313989 | + | 0.949426i | \(0.601666\pi\) | |||||||
\(164\) | 7.90709 | − | 13.6955i | 0.617440 | − | 1.06944i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −12.7422 | + | 22.0702i | −0.988989 | + | 1.71298i | ||||
\(167\) | 20.7469 | 1.60545 | 0.802724 | − | 0.596351i | \(-0.203383\pi\) | ||||
0.802724 | + | 0.596351i | \(0.203383\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.19321 | −0.707170 | ||||||||
\(170\) | −56.5196 | −4.33486 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 16.5618 | 1.26282 | ||||||||
\(173\) | 17.8905 | 1.36019 | 0.680095 | − | 0.733124i | \(-0.261938\pi\) | ||||
0.680095 | + | 0.733124i | \(0.261938\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 24.4694 | 1.84972 | ||||||||
\(176\) | −2.56400 | + | 4.44098i | −0.193269 | + | 0.334751i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.14976 | + | 1.99144i | −0.0861778 | + | 0.149264i | ||||
\(179\) | −0.212492 | −0.0158824 | −0.00794121 | − | 0.999968i | \(-0.502528\pi\) | ||||
−0.00794121 | + | 0.999968i | \(0.502528\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.99132 | − | 13.8414i | 0.593990 | − | 1.02882i | −0.399698 | − | 0.916647i | \(-0.630885\pi\) |
0.993689 | − | 0.112174i | \(-0.0357815\pi\) | |||||||
\(182\) | −3.84765 | + | 6.66432i | −0.285207 | + | 0.493992i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.325432 | 0.0239912 | ||||||||
\(185\) | −4.73198 | + | 8.19602i | −0.347902 | + | 0.602583i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 8.94512 | 0.654132 | ||||||||
\(188\) | −1.15297 | − | 1.99700i | −0.0840889 | − | 0.145646i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −27.9693 | + | 24.0317i | −2.02911 | + | 1.74344i | ||||
\(191\) | −6.86947 | + | 11.8983i | −0.497057 | + | 0.860928i | −0.999994 | − | 0.00339491i | \(-0.998919\pi\) |
0.502937 | + | 0.864323i | \(0.332253\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 7.24295 | − | 12.5452i | 0.521359 | − | 0.903021i | −0.478332 | − | 0.878179i | \(-0.658759\pi\) |
0.999691 | − | 0.0248416i | \(-0.00790813\pi\) | |||||||
\(194\) | −7.59381 | −0.545203 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.31906 | + | 5.74879i | 0.237076 | + | 0.410628i | ||||
\(197\) | −16.6680 | −1.18755 | −0.593774 | − | 0.804632i | \(-0.702363\pi\) | ||||
−0.593774 | + | 0.804632i | \(0.702363\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.99765 | + | 8.65619i | −0.354274 | + | 0.613621i | −0.986993 | − | 0.160760i | \(-0.948605\pi\) |
0.632719 | + | 0.774381i | \(0.281939\pi\) | |||||||
\(200\) | −1.03396 | − | 1.79087i | −0.0731119 | − | 0.126634i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −8.37102 | − | 14.4990i | −0.588983 | − | 1.02015i | ||||
\(203\) | 11.5193 | 0.808495 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 15.9056 | + | 27.5493i | 1.11089 | + | 1.92413i | ||||
\(206\) | 3.97222 | + | 6.88009i | 0.276758 | + | 0.479359i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −7.47273 | −0.518140 | ||||||||
\(209\) | 4.42658 | − | 3.80340i | 0.306193 | − | 0.263087i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.02198 | + | 1.77012i | −0.0703559 | + | 0.121860i | −0.899057 | − | 0.437831i | \(-0.855747\pi\) |
0.828701 | + | 0.559691i | \(0.189080\pi\) | |||||||
\(212\) | −7.81093 | + | 13.5289i | −0.536457 | + | 0.929171i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.380905 | 0.0260381 | ||||||||
\(215\) | −16.6575 | + | 28.8516i | −1.13603 | + | 1.96766i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.50666 | 0.102279 | ||||||||
\(218\) | −2.19709 | − | 3.80547i | −0.148806 | − | 0.257739i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 5.83541 | + | 10.1072i | 0.393423 | + | 0.681429i | ||||
\(221\) | 6.51759 | + | 11.2888i | 0.438421 | + | 0.759367i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −26.2506 | −1.75787 | −0.878937 | − | 0.476939i | \(-0.841746\pi\) | ||||
−0.878937 | + | 0.476939i | \(0.841746\pi\) | |||||||
\(224\) | 7.87501 | − | 13.6399i | 0.526171 | − | 0.911356i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −12.7920 | − | 22.1565i | −0.850914 | − | 1.47383i | ||||
\(227\) | 12.4225 | − | 21.5163i | 0.824508 | − | 1.42809i | −0.0777867 | − | 0.996970i | \(-0.524785\pi\) |
0.902295 | − | 0.431120i | \(-0.141881\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −13.6496 | − | 23.6419i | −0.901993 | − | 1.56230i | −0.824903 | − | 0.565274i | \(-0.808771\pi\) |
−0.0770898 | − | 0.997024i | \(-0.524563\pi\) | |||||||
\(230\) | −8.34364 | + | 14.4516i | −0.550163 | + | 0.952911i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.486748 | − | 0.843072i | −0.0319566 | − | 0.0553504i | ||||
\(233\) | −8.88155 | − | 15.3833i | −0.581850 | − | 1.00779i | −0.995260 | − | 0.0972483i | \(-0.968996\pi\) |
0.413411 | − | 0.910545i | \(-0.364337\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.63853 | 0.302584 | ||||||||
\(236\) | 1.05539 | − | 1.82800i | 0.0687003 | − | 0.118992i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −26.3502 | −1.70803 | ||||||||
\(239\) | −5.94744 | − | 10.3013i | −0.384708 | − | 0.666334i | 0.607021 | − | 0.794686i | \(-0.292365\pi\) |
−0.991729 | + | 0.128352i | \(0.959031\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.969666 | + | 1.67951i | 0.0624616 | + | 0.108187i | 0.895565 | − | 0.444930i | \(-0.146772\pi\) |
−0.833104 | + | 0.553117i | \(0.813438\pi\) | |||||||
\(242\) | 9.30086 | + | 16.1096i | 0.597882 | + | 1.03556i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.345640 | − | 0.598666i | −0.0221273 | − | 0.0383257i | ||||
\(245\) | −13.3530 | −0.853091 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 8.02521 | + | 2.81514i | 0.510632 | + | 0.179123i | ||||
\(248\) | −0.0636641 | − | 0.110270i | −0.00404268 | − | 0.00700212i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 63.7380 | 4.03115 | ||||||||
\(251\) | 8.69809 | − | 15.0655i | 0.549019 | − | 0.950928i | −0.449323 | − | 0.893369i | \(-0.648335\pi\) |
0.998342 | − | 0.0575591i | \(-0.0183318\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.32051 | − | 2.28719i | 0.0830199 | − | 0.143795i | ||||
\(254\) | −4.76023 | + | 8.24496i | −0.298684 | + | 0.517335i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 14.6145 | 0.913408 | ||||||||
\(257\) | 28.1812 | 1.75789 | 0.878946 | − | 0.476921i | \(-0.158247\pi\) | ||||
0.878946 | + | 0.476921i | \(0.158247\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.20611 | + | 3.82109i | −0.137081 | + | 0.237431i | ||||
\(260\) | −8.50359 | + | 14.7287i | −0.527371 | + | 0.913433i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 19.0940 | − | 33.0718i | 1.17963 | − | 2.04318i | ||||
\(263\) | 1.19859 | 0.0739085 | 0.0369542 | − | 0.999317i | \(-0.488234\pi\) | ||||
0.0369542 | + | 0.999317i | \(0.488234\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −15.7122 | − | 27.2143i | −0.965190 | − | 1.67176i | ||||
\(266\) | −13.0396 | + | 11.2039i | −0.799512 | + | 0.686955i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 26.8721 | 1.64147 | ||||||||
\(269\) | −3.49711 | − | 6.05717i | −0.213222 | − | 0.369312i | 0.739499 | − | 0.673158i | \(-0.235063\pi\) |
−0.952721 | + | 0.303846i | \(0.901729\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 6.19864 | + | 10.7364i | 0.376541 | + | 0.652188i | 0.990556 | − | 0.137106i | \(-0.0437801\pi\) |
−0.614016 | + | 0.789294i | \(0.710447\pi\) | |||||||
\(272\) | −12.7940 | − | 22.1599i | −0.775752 | − | 1.34364i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 5.72720 | + | 9.91980i | 0.345993 | + | 0.599277i | ||||
\(275\) | −16.7821 | −1.01200 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 9.75455 | − | 16.8954i | 0.586094 | − | 1.01514i | −0.408644 | − | 0.912694i | \(-0.633998\pi\) |
0.994738 | − | 0.102451i | \(-0.0326684\pi\) | |||||||
\(278\) | −14.4716 | −0.867952 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.674337 | − | 1.16799i | −0.0402993 | − | 0.0698005i | ||||
\(281\) | −12.0748 | − | 20.9141i | −0.720321 | − | 1.24763i | −0.960871 | − | 0.276996i | \(-0.910661\pi\) |
0.240550 | − | 0.970637i | \(-0.422672\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −10.6040 | + | 18.3667i | −0.630344 | + | 1.09179i | 0.357137 | + | 0.934052i | \(0.383753\pi\) |
−0.987481 | + | 0.157736i | \(0.949580\pi\) | |||||||
\(284\) | −3.77386 | − | 6.53651i | −0.223937 | − | 0.387870i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.63886 | − | 4.57064i | 0.156039 | − | 0.270268i | ||||
\(287\) | 7.41539 | + | 12.8438i | 0.437717 | + | 0.758148i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −13.8175 | + | 23.9326i | −0.812795 | + | 1.40780i | ||||
\(290\) | 49.9182 | 2.93130 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −5.16631 | − | 8.94832i | −0.302336 | − | 0.523661i | ||||
\(293\) | −7.84223 | − | 13.5831i | −0.458148 | − | 0.793535i | 0.540715 | − | 0.841206i | \(-0.318154\pi\) |
−0.998863 | + | 0.0476705i | \(0.984820\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.12299 | + | 3.67712i | 0.123605 | + | 0.214090i | ||||
\(296\) | 0.372877 | 0.0216730 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −18.2141 | + | 31.5477i | −1.05511 | + | 1.82751i | ||||
\(299\) | 3.84861 | 0.222571 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −7.76594 | + | 13.4510i | −0.447621 | + | 0.775303i | ||||
\(302\) | −6.54711 | + | 11.3399i | −0.376744 | + | 0.652540i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −15.7535 | − | 5.52612i | −0.903524 | − | 0.316945i | ||||
\(305\) | 1.39055 | 0.0796228 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 8.67805 | + | 15.0308i | 0.495283 | + | 0.857855i | 0.999985 | − | 0.00543863i | \(-0.00173118\pi\) |
−0.504703 | + | 0.863293i | \(0.668398\pi\) | |||||||
\(308\) | 2.72054 | + | 4.71212i | 0.155017 | + | 0.268498i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 6.52905 | 0.370825 | ||||||||
\(311\) | 9.13185 | + | 15.8168i | 0.517820 | + | 0.896890i | 0.999786 | + | 0.0207003i | \(0.00658957\pi\) |
−0.481966 | + | 0.876190i | \(0.660077\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.90896 | + | 8.50257i | 0.277471 | + | 0.480594i | 0.970756 | − | 0.240070i | \(-0.0771704\pi\) |
−0.693285 | + | 0.720664i | \(0.743837\pi\) | |||||||
\(314\) | 0.276566 | − | 0.479027i | 0.0156075 | − | 0.0270330i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 10.7764 | 0.606220 | ||||||||
\(317\) | −5.67689 | − | 9.83266i | −0.318846 | − | 0.552257i | 0.661402 | − | 0.750032i | \(-0.269962\pi\) |
−0.980247 | + | 0.197775i | \(0.936629\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −7.90035 | −0.442334 | ||||||||
\(320\) | 18.0883 | − | 31.3298i | 1.01117 | − | 1.75139i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −3.88991 | + | 6.73753i | −0.216776 | + | 0.375468i | ||||
\(323\) | 5.39181 | + | 28.6181i | 0.300008 | + | 1.59235i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −12.2277 | − | 21.1791i | −0.678273 | − | 1.17480i | ||||
\(326\) | −16.1978 | −0.897116 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.626676 | − | 1.08543i | 0.0346024 | − | 0.0599331i | ||||
\(329\) | 2.16254 | 0.119225 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.31414 | − | 4.00820i | 0.127196 | − | 0.220311i | −0.795393 | − | 0.606094i | \(-0.792735\pi\) |
0.922589 | + | 0.385783i | \(0.126069\pi\) | |||||||
\(332\) | −13.1292 | + | 22.7404i | −0.720557 | + | 1.24804i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 41.9153 | 2.29350 | ||||||||
\(335\) | −27.0274 | + | 46.8128i | −1.47666 | + | 2.55765i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 7.33227 | − | 12.6999i | 0.399414 | − | 0.691806i | −0.594239 | − | 0.804288i | \(-0.702547\pi\) |
0.993654 | + | 0.112482i | \(0.0358802\pi\) | |||||||
\(338\) | −18.5732 | −1.01025 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −58.2359 | −3.15829 | ||||||||
\(341\) | −1.03332 | −0.0559577 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −19.8908 | −1.07400 | ||||||||
\(344\) | 1.31260 | 0.0707707 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 36.1444 | 1.94314 | ||||||||
\(347\) | 15.0595 | − | 26.0837i | 0.808434 | − | 1.40025i | −0.105514 | − | 0.994418i | \(-0.533649\pi\) |
0.913948 | − | 0.405831i | \(-0.133018\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.39279 | − | 2.41239i | 0.0745545 | − | 0.129132i | −0.826338 | − | 0.563175i | \(-0.809580\pi\) |
0.900892 | + | 0.434042i | \(0.142913\pi\) | |||||||
\(350\) | 49.4359 | 2.64246 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −5.40098 | + | 9.35476i | −0.287873 | + | 0.498611i | ||||
\(353\) | −5.04882 | + | 8.74482i | −0.268722 | + | 0.465440i | −0.968532 | − | 0.248889i | \(-0.919935\pi\) |
0.699810 | + | 0.714329i | \(0.253268\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 15.1827 | 0.805812 | ||||||||
\(356\) | −1.18467 | + | 2.05191i | −0.0627874 | + | 0.108751i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.429301 | −0.0226893 | ||||||||
\(359\) | 3.12391 | + | 5.41076i | 0.164873 | + | 0.285569i | 0.936610 | − | 0.350373i | \(-0.113945\pi\) |
−0.771737 | + | 0.635942i | \(0.780612\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 14.8364 | + | 11.8694i | 0.780862 | + | 0.624704i | ||||
\(362\) | 16.1450 | − | 27.9639i | 0.848560 | − | 1.46975i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −3.96449 | + | 6.86669i | −0.207796 | + | 0.359912i | ||||
\(365\) | 20.7847 | 1.08792 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.44516 | − | 2.50309i | −0.0754366 | − | 0.130660i | 0.825839 | − | 0.563905i | \(-0.190702\pi\) |
−0.901276 | + | 0.433245i | \(0.857368\pi\) | |||||||
\(368\) | −7.55482 | −0.393822 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −9.56007 | + | 16.5585i | −0.497004 | + | 0.860837i | ||||
\(371\) | −7.32521 | − | 12.6876i | −0.380306 | − | 0.658710i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −7.36377 | − | 12.7544i | −0.381282 | − | 0.660399i | 0.609964 | − | 0.792429i | \(-0.291184\pi\) |
−0.991246 | + | 0.132030i | \(0.957851\pi\) | |||||||
\(374\) | 18.0719 | 0.934478 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.0913784 | − | 0.158272i | −0.00471248 | − | 0.00816226i | ||||
\(377\) | −5.75635 | − | 9.97029i | −0.296467 | − | 0.513496i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 11.7601 | 0.604077 | 0.302038 | − | 0.953296i | \(-0.402333\pi\) | ||||
0.302038 | + | 0.953296i | \(0.402333\pi\) | |||||||
\(380\) | −28.8186 | + | 24.7615i | −1.47836 | + | 1.27024i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −13.8785 | + | 24.0382i | −0.710084 | + | 1.22990i | ||||
\(383\) | −15.4531 | + | 26.7656i | −0.789619 | + | 1.36766i | 0.136582 | + | 0.990629i | \(0.456388\pi\) |
−0.926200 | + | 0.377031i | \(0.876945\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −10.9451 | −0.557813 | ||||||||
\(386\) | 14.6330 | − | 25.3451i | 0.744801 | − | 1.29003i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −7.82440 | −0.397224 | ||||||||
\(389\) | 7.08875 | + | 12.2781i | 0.359414 | + | 0.622523i | 0.987863 | − | 0.155327i | \(-0.0496432\pi\) |
−0.628449 | + | 0.777851i | \(0.716310\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 6.58919 | + | 11.4128i | 0.333230 | + | 0.577171i | ||||
\(392\) | 0.263052 | + | 0.455620i | 0.0132861 | + | 0.0230123i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −33.6746 | −1.69650 | ||||||||
\(395\) | −10.8387 | + | 18.7731i | −0.545353 | + | 0.944579i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −3.48803 | − | 6.04144i | −0.175059 | − | 0.303211i | 0.765123 | − | 0.643885i | \(-0.222678\pi\) |
−0.940182 | + | 0.340673i | \(0.889345\pi\) | |||||||
\(398\) | −10.0968 | + | 17.4882i | −0.506108 | + | 0.876604i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 24.0030 | + | 41.5745i | 1.20015 | + | 2.07872i | ||||
\(401\) | 8.39419 | − | 14.5392i | 0.419186 | − | 0.726051i | −0.576672 | − | 0.816976i | \(-0.695649\pi\) |
0.995858 | + | 0.0909249i | \(0.0289823\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.752901 | − | 1.30406i | −0.0375047 | − | 0.0649600i | ||||
\(404\) | −8.62522 | − | 14.9393i | −0.429121 | − | 0.743259i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 23.2725 | 1.15500 | ||||||||
\(407\) | 1.51303 | − | 2.62065i | 0.0749982 | − | 0.129901i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 13.4002 | 0.662595 | 0.331298 | − | 0.943526i | \(-0.392514\pi\) | ||||
0.331298 | + | 0.943526i | \(0.392514\pi\) | |||||||
\(410\) | 32.1343 | + | 55.6582i | 1.58700 | + | 2.74876i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 4.09284 | + | 7.08901i | 0.201640 | + | 0.349251i | ||||
\(413\) | 0.989765 | + | 1.71432i | 0.0487032 | + | 0.0843563i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −26.4101 | − | 45.7436i | −1.29642 | − | 2.24547i | ||||
\(416\) | −15.7410 | −0.771768 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 8.94307 | − | 7.68405i | 0.437420 | − | 0.375839i | ||||
\(419\) | −5.28778 | − | 9.15870i | −0.258325 | − | 0.447432i | 0.707468 | − | 0.706745i | \(-0.249837\pi\) |
−0.965793 | + | 0.259313i | \(0.916504\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −19.2670 | −0.939014 | −0.469507 | − | 0.882929i | \(-0.655568\pi\) | ||||
−0.469507 | + | 0.882929i | \(0.655568\pi\) | |||||||
\(422\) | −2.06472 | + | 3.57619i | −0.100509 | + | 0.174086i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.619055 | + | 1.07223i | −0.0300640 | + | 0.0520723i | ||||
\(425\) | 41.8702 | − | 72.5212i | 2.03100 | − | 3.51780i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.648293 | 0.0313731 | ||||||||
\(428\) | 0.392472 | 0.0189708 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −33.6533 | + | 58.2893i | −1.62291 | + | 2.81096i | ||||
\(431\) | −13.7684 | + | 23.8476i | −0.663203 | + | 1.14870i | 0.316567 | + | 0.948570i | \(0.397470\pi\) |
−0.979769 | + | 0.200130i | \(0.935863\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −10.9652 | + | 18.9923i | −0.526954 | + | 0.912711i | 0.472552 | + | 0.881303i | \(0.343333\pi\) |
−0.999507 | + | 0.0314088i | \(0.990001\pi\) | |||||||
\(434\) | 3.04393 | 0.146113 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.26381 | − | 3.92103i | −0.108417 | − | 0.187783i | ||||
\(437\) | 8.11337 | + | 2.84607i | 0.388115 | + | 0.136146i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −14.2229 | −0.678820 | −0.339410 | − | 0.940638i | \(-0.610227\pi\) | ||||
−0.339410 | + | 0.940638i | \(0.610227\pi\) | |||||||
\(440\) | 0.462485 | + | 0.801047i | 0.0220481 | + | 0.0381884i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 13.1676 | + | 22.8069i | 0.626318 | + | 1.08481i | ||||
\(443\) | 7.11660 | + | 12.3263i | 0.338120 | + | 0.585641i | 0.984079 | − | 0.177731i | \(-0.0568757\pi\) |
−0.645959 | + | 0.763372i | \(0.723542\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −2.38303 | − | 4.12753i | −0.112967 | − | 0.195664i | ||||
\(446\) | −53.0345 | −2.51126 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 8.43299 | − | 14.6064i | 0.398421 | − | 0.690086i | ||||
\(449\) | −3.11473 | −0.146993 | −0.0734966 | − | 0.997295i | \(-0.523416\pi\) | ||||
−0.0734966 | + | 0.997295i | \(0.523416\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −5.08575 | − | 8.80878i | −0.239479 | − | 0.414789i | ||||
\(452\) | −13.1805 | − | 22.8293i | −0.619958 | − | 1.07380i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 25.0973 | − | 43.4697i | 1.17787 | − | 2.04014i | ||||
\(455\) | −7.97480 | − | 13.8128i | −0.373864 | − | 0.647552i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 5.77896 | − | 10.0095i | 0.270329 | − | 0.468223i | −0.698617 | − | 0.715495i | \(-0.746201\pi\) |
0.968946 | + | 0.247273i | \(0.0795344\pi\) | |||||||
\(458\) | −27.5765 | − | 47.7639i | −1.28857 | − | 2.23186i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −8.59701 | + | 14.8905i | −0.400838 | + | 0.694271i | ||||
\(461\) | 5.52503 | 0.257326 | 0.128663 | − | 0.991688i | \(-0.458931\pi\) | ||||
0.128663 | + | 0.991688i | \(0.458931\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −6.11457 | − | 10.5907i | −0.284168 | − | 0.492193i | 0.688239 | − | 0.725484i | \(-0.258384\pi\) |
−0.972407 | + | 0.233291i | \(0.925051\pi\) | |||||||
\(464\) | 11.2997 | + | 19.5717i | 0.524576 | + | 0.908592i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −17.9435 | − | 31.0791i | −0.831217 | − | 1.43971i | ||||
\(467\) | −2.22377 | −0.102904 | −0.0514518 | − | 0.998675i | \(-0.516385\pi\) | ||||
−0.0514518 | + | 0.998675i | \(0.516385\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −12.6005 | + | 21.8247i | −0.581838 | + | 1.00777i | ||||
\(470\) | 9.37128 | 0.432265 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0.0836452 | − | 0.144878i | 0.00385008 | − | 0.00666854i | ||||
\(473\) | 5.32617 | − | 9.22519i | 0.244897 | − | 0.424175i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −10.1156 | − | 53.6907i | −0.464137 | − | 2.46350i | ||||
\(476\) | −27.1504 | −1.24443 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −12.0157 | − | 20.8118i | −0.549585 | − | 0.951909i | ||||
\(479\) | 6.95882 | + | 12.0530i | 0.317957 | + | 0.550717i | 0.980062 | − | 0.198694i | \(-0.0636700\pi\) |
−0.662105 | + | 0.749411i | \(0.730337\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.40970 | 0.201065 | ||||||||
\(482\) | 1.95903 | + | 3.39313i | 0.0892312 | + | 0.154553i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 9.58329 | + | 16.5987i | 0.435604 | + | 0.754488i | ||||
\(485\) | 7.86962 | − | 13.6306i | 0.357341 | − | 0.618933i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −24.5312 | −1.11161 | −0.555807 | − | 0.831312i | \(-0.687590\pi\) | ||||
−0.555807 | + | 0.831312i | \(0.687590\pi\) | |||||||
\(488\) | −0.0273937 | − | 0.0474472i | −0.00124005 | − | 0.00214784i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −26.9772 | −1.21871 | ||||||||
\(491\) | 8.70193 | − | 15.0722i | 0.392712 | − | 0.680198i | −0.600094 | − | 0.799930i | \(-0.704870\pi\) |
0.992806 | + | 0.119732i | \(0.0382034\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 19.7109 | − | 34.1402i | 0.887733 | − | 1.53760i | ||||
\(494\) | 16.2134 | + | 5.68746i | 0.729477 | + | 0.255891i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.47795 | + | 2.55988i | 0.0663617 | + | 0.114942i | ||||
\(497\) | 7.07836 | 0.317508 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 19.2038 | − | 33.2619i | 0.859678 | − | 1.48901i | −0.0125579 | − | 0.999921i | \(-0.503997\pi\) |
0.872236 | − | 0.489085i | \(-0.162669\pi\) | |||||||
\(500\) | 65.6735 | 2.93701 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 17.5729 | − | 30.4371i | 0.784315 | − | 1.35847i | ||||
\(503\) | 0.757962 | − | 1.31283i | 0.0337958 | − | 0.0585361i | −0.848633 | − | 0.528982i | \(-0.822574\pi\) |
0.882429 | + | 0.470446i | \(0.155907\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 34.7003 | 1.54414 | ||||||||
\(506\) | 2.66785 | − | 4.62085i | 0.118600 | − | 0.205422i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −4.90478 | + | 8.49533i | −0.217615 | + | 0.376919i | ||||
\(509\) | −1.21524 | −0.0538644 | −0.0269322 | − | 0.999637i | \(-0.508574\pi\) | ||||
−0.0269322 | + | 0.999637i | \(0.508574\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 9.69009 | 0.428665 | ||||||||
\(512\) | 32.1634 | 1.42144 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 56.9348 | 2.51128 | ||||||||
\(515\) | −16.4660 | −0.725579 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.48315 | −0.0652290 | ||||||||
\(518\) | −4.45703 | + | 7.71980i | −0.195831 | + | 0.339189i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.673952 | + | 1.16732i | −0.0295547 | + | 0.0511903i | ||||
\(521\) | 11.3543 | 0.497443 | 0.248721 | − | 0.968575i | \(-0.419990\pi\) | ||||
0.248721 | + | 0.968575i | \(0.419990\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −2.83152 | + | 4.90434i | −0.123814 | + | 0.214452i | −0.921269 | − | 0.388927i | \(-0.872846\pi\) |
0.797455 | + | 0.603379i | \(0.206179\pi\) | |||||||
\(524\) | 19.6738 | − | 34.0761i | 0.859455 | − | 1.48862i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2.42153 | 0.105584 | ||||||||
\(527\) | 2.57808 | − | 4.46537i | 0.112303 | − | 0.194514i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −19.1091 | −0.830831 | ||||||||
\(530\) | −31.7435 | − | 54.9813i | −1.37885 | − | 2.38824i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −13.4356 | + | 11.5441i | −0.582508 | + | 0.500501i | ||||
\(533\) | 7.41116 | − | 12.8365i | 0.321013 | − | 0.556011i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.394740 | + | 0.683710i | −0.0170661 | + | 0.0295594i | ||||
\(536\) | 2.12974 | 0.0919908 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −7.06525 | − | 12.2374i | −0.304604 | − | 0.527590i | ||||
\(539\) | 4.26957 | 0.183903 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 21.0798 | − | 36.5114i | 0.906293 | − | 1.56975i | 0.0871219 | − | 0.996198i | \(-0.472233\pi\) |
0.819172 | − | 0.573549i | \(-0.194434\pi\) | |||||||
\(542\) | 12.5232 | + | 21.6908i | 0.537917 | + | 0.931700i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −26.9502 | − | 46.6791i | −1.15548 | − | 2.00135i | ||||
\(545\) | 9.10756 | 0.390125 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −5.23919 | − | 9.07454i | −0.224011 | − | 0.387999i | 0.732011 | − | 0.681293i | \(-0.238582\pi\) |
−0.956022 | + | 0.293294i | \(0.905249\pi\) | |||||||
\(548\) | 5.90111 | + | 10.2210i | 0.252083 | + | 0.436621i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −33.9050 | −1.44571 | ||||||||
\(551\) | −4.76205 | − | 25.2755i | −0.202870 | − | 1.07677i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −5.05313 | + | 8.75228i | −0.214881 | + | 0.372185i | ||||
\(554\) | 19.7072 | − | 34.1339i | 0.837280 | − | 1.45021i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −14.9111 | −0.632371 | ||||||||
\(557\) | 18.3181 | − | 31.7279i | 0.776164 | − | 1.34436i | −0.157973 | − | 0.987443i | \(-0.550496\pi\) |
0.934138 | − | 0.356913i | \(-0.116171\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 15.5230 | 0.656553 | ||||||||
\(560\) | 15.6545 | + | 27.1144i | 0.661525 | + | 1.14579i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −24.3948 | − | 42.2531i | −1.02903 | − | 1.78234i | ||||
\(563\) | −4.29307 | − | 7.43582i | −0.180931 | − | 0.313382i | 0.761267 | − | 0.648439i | \(-0.224578\pi\) |
−0.942198 | + | 0.335057i | \(0.891245\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 53.0267 | 2.23085 | ||||||||
\(566\) | −21.4235 | + | 37.1065i | −0.900495 | + | 1.55970i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −0.299097 | − | 0.518050i | −0.0125498 | − | 0.0217369i | ||||
\(569\) | 2.90516 | − | 5.03189i | 0.121791 | − | 0.210948i | −0.798683 | − | 0.601752i | \(-0.794470\pi\) |
0.920474 | + | 0.390804i | \(0.127803\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.11198 | + | 7.12216i | 0.172081 | + | 0.298053i | 0.939147 | − | 0.343515i | \(-0.111618\pi\) |
−0.767066 | + | 0.641568i | \(0.778284\pi\) | |||||||
\(572\) | 2.71899 | − | 4.70943i | 0.113687 | − | 0.196911i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 14.9814 | + | 25.9486i | 0.625312 | + | 1.08307i | ||||
\(575\) | −12.3621 | − | 21.4117i | −0.515534 | − | 0.892930i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −24.3169 | −1.01232 | −0.506162 | − | 0.862438i | \(-0.668936\pi\) | ||||
−0.506162 | + | 0.862438i | \(0.668936\pi\) | |||||||
\(578\) | −27.9157 | + | 48.3514i | −1.16114 | + | 2.01115i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 51.4341 | 2.13568 | ||||||||
\(581\) | −12.3127 | − | 21.3263i | −0.510818 | − | 0.884763i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 5.02390 | + | 8.70165i | 0.208069 | + | 0.360386i | ||||
\(584\) | −0.409456 | − | 0.709198i | −0.0169434 | − | 0.0293468i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −15.8437 | − | 27.4422i | −0.654499 | − | 1.13363i | ||||
\(587\) | 1.21589 | 0.0501851 | 0.0250925 | − | 0.999685i | \(-0.492012\pi\) | ||||
0.0250925 | + | 0.999685i | \(0.492012\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.622852 | − | 3.30591i | −0.0256642 | − | 0.136218i | ||||
\(590\) | 4.28910 | + | 7.42894i | 0.176579 | + | 0.305845i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −8.65624 | −0.355769 | ||||||||
\(593\) | −5.40934 | + | 9.36925i | −0.222135 | + | 0.384749i | −0.955456 | − | 0.295134i | \(-0.904636\pi\) |
0.733321 | + | 0.679882i | \(0.237969\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 27.3073 | − | 47.2976i | 1.11949 | − | 1.93901i | ||||
\(596\) | −18.7671 | + | 32.5056i | −0.768732 | + | 1.33148i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 7.77539 | 0.317959 | ||||||||
\(599\) | −45.8655 | −1.87401 | −0.937007 | − | 0.349310i | \(-0.886416\pi\) | ||||
−0.937007 | + | 0.349310i | \(0.886416\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −14.2594 | + | 24.6980i | −0.581652 | + | 1.00745i | 0.413632 | + | 0.910444i | \(0.364260\pi\) |
−0.995284 | + | 0.0970064i | \(0.969073\pi\) | |||||||
\(602\) | −15.6896 | + | 27.1752i | −0.639461 | + | 1.10758i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −6.74593 | + | 11.6843i | −0.274488 | + | 0.475427i | ||||
\(605\) | −38.5547 | −1.56747 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 14.8706 | + | 25.7567i | 0.603580 | + | 1.04543i | 0.992274 | + | 0.124065i | \(0.0395931\pi\) |
−0.388694 | + | 0.921367i | \(0.627074\pi\) | |||||||
\(608\) | −33.1842 | − | 11.6406i | −1.34580 | − | 0.472088i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.80935 | 0.113747 | ||||||||
\(611\) | −1.08065 | − | 1.87175i | −0.0437186 | − | 0.0757228i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −15.9215 | − | 27.5769i | −0.643065 | − | 1.11382i | −0.984745 | − | 0.174005i | \(-0.944329\pi\) |
0.341680 | − | 0.939816i | \(-0.389004\pi\) | |||||||
\(614\) | 17.5324 | + | 30.3670i | 0.707549 | + | 1.22551i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.215617 | + | 0.373459i | 0.00868744 | + | 0.0150471i | ||||
\(617\) | −33.8268 | −1.36181 | −0.680907 | − | 0.732370i | \(-0.738414\pi\) | ||||
−0.680907 | + | 0.732370i | \(0.738414\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −2.12694 | + | 3.68397i | −0.0854890 | + | 0.148071i | −0.905599 | − | 0.424134i | \(-0.860579\pi\) |
0.820111 | + | 0.572205i | \(0.193912\pi\) | |||||||
\(620\) | 6.72731 | 0.270175 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 18.4492 | + | 31.9549i | 0.739745 | + | 1.28128i | ||||
\(623\) | −1.11100 | − | 1.92431i | −0.0445113 | − | 0.0770959i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −34.7176 | + | 60.1327i | −1.38870 | + | 2.40531i | ||||
\(626\) | 9.91764 | + | 17.1778i | 0.396388 | + | 0.686565i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.284964 | − | 0.493573i | 0.0113713 | − | 0.0196957i | ||||
\(629\) | 7.54983 | + | 13.0767i | 0.301032 | + | 0.521402i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −14.9006 | + | 25.8087i | −0.593185 | + | 1.02743i | 0.400615 | + | 0.916246i | \(0.368796\pi\) |
−0.993800 | + | 0.111180i | \(0.964537\pi\) | |||||||
\(632\) | 0.854082 | 0.0339736 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −11.4691 | − | 19.8650i | −0.455496 | − | 0.788941i | ||||
\(635\) | −9.86626 | − | 17.0889i | −0.391531 | − | 0.678151i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3.11089 | + | 5.38822i | 0.123258 | + | 0.213489i | ||||
\(638\) | −15.9612 | −0.631909 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 2.76107 | − | 4.78231i | 0.109141 | − | 0.189037i | ||||
\(641\) | −14.7532 | −0.582718 | −0.291359 | − | 0.956614i | \(-0.594107\pi\) | ||||
−0.291359 | + | 0.956614i | \(0.594107\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −14.4049 | + | 24.9501i | −0.568076 | + | 0.983936i | 0.428681 | + | 0.903456i | \(0.358979\pi\) |
−0.996756 | + | 0.0804797i | \(0.974355\pi\) | |||||||
\(644\) | −4.00804 | + | 6.94212i | −0.157939 | + | 0.273558i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 10.8931 | + | 57.8174i | 0.428585 | + | 2.27480i | ||||
\(647\) | −6.79304 | −0.267062 | −0.133531 | − | 0.991045i | \(-0.542632\pi\) | ||||
−0.133531 | + | 0.991045i | \(0.542632\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.678817 | − | 1.17575i | −0.0266459 | − | 0.0461521i | ||||
\(650\) | −24.7038 | − | 42.7883i | −0.968965 | − | 1.67830i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −16.6897 | −0.653620 | ||||||||
\(653\) | −1.09463 | − | 1.89596i | −0.0428363 | − | 0.0741946i | 0.843812 | − | 0.536638i | \(-0.180306\pi\) |
−0.886649 | + | 0.462444i | \(0.846973\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 39.5751 | + | 68.5461i | 1.54633 | + | 2.67832i | ||||
\(656\) | −14.5481 | + | 25.1981i | −0.568008 | + | 0.983819i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 4.36901 | 0.170322 | ||||||||
\(659\) | 13.6061 | + | 23.5665i | 0.530019 | + | 0.918020i | 0.999387 | + | 0.0350171i | \(0.0111486\pi\) |
−0.469368 | + | 0.883003i | \(0.655518\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −2.60228 | −0.101217 | −0.0506086 | − | 0.998719i | \(-0.516116\pi\) | ||||
−0.0506086 | + | 0.998719i | \(0.516116\pi\) | |||||||
\(662\) | 4.67528 | − | 8.09782i | 0.181710 | − | 0.314731i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −1.04055 | + | 1.80229i | −0.0403812 | + | 0.0699423i | ||||
\(665\) | −6.59731 | − | 35.0165i | −0.255833 | − | 1.35788i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −5.81958 | − | 10.0798i | −0.225335 | − | 0.390292i | ||||
\(668\) | 43.1881 | 1.67100 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −54.6037 | + | 94.5764i | −2.10953 | + | 3.65381i | ||||
\(671\) | −0.444624 | −0.0171645 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 15.2685 | − | 26.4458i | 0.588558 | − | 1.01941i | −0.405863 | − | 0.913934i | \(-0.633029\pi\) |
0.994422 | − | 0.105479i | \(-0.0336375\pi\) | |||||||
\(674\) | 14.8135 | − | 25.6577i | 0.570594 | − | 0.988298i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −19.1372 | −0.736044 | ||||||||
\(677\) | 8.89435 | − | 15.4055i | 0.341838 | − | 0.592080i | −0.642936 | − | 0.765920i | \(-0.722284\pi\) |
0.984774 | + | 0.173839i | \(0.0556174\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 3.66892 | − | 6.35476i | 0.140800 | − | 0.243873i | ||||
\(680\) | −4.61548 | −0.176996 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −2.08764 | −0.0799398 | ||||||||
\(683\) | 35.2754 | 1.34978 | 0.674888 | − | 0.737920i | \(-0.264192\pi\) | ||||
0.674888 | + | 0.737920i | \(0.264192\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −23.7409 | −0.907092 | ||||||||
\(686\) | −40.1857 | −1.53430 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −30.4717 | −1.16172 | ||||||||
\(689\) | −7.32103 | + | 12.6804i | −0.278909 | + | 0.483085i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 1.14295 | − | 1.97964i | 0.0434797 | − | 0.0753090i | −0.843467 | − | 0.537182i | \(-0.819489\pi\) |
0.886946 | + | 0.461873i | \(0.152822\pi\) | |||||||
\(692\) | 37.2420 | 1.41573 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 30.4248 | − | 52.6973i | 1.15491 | − | 2.00036i | ||||
\(695\) | 14.9973 | − | 25.9761i | 0.568879 | − | 0.985328i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 50.7545 | 1.92246 | ||||||||
\(698\) | 2.81388 | − | 4.87377i | 0.106507 | − | 0.184475i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 50.9371 | 1.92524 | ||||||||
\(701\) | 1.58169 | + | 2.73956i | 0.0597395 | + | 0.103472i | 0.894348 | − | 0.447371i | \(-0.147640\pi\) |
−0.834609 | + | 0.550843i | \(0.814306\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 9.29622 | + | 3.26100i | 0.350614 | + | 0.122991i | ||||
\(704\) | −5.78366 | + | 10.0176i | −0.217980 | + | 0.377552i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −10.2002 | + | 17.6673i | −0.383890 | + | 0.664916i | ||||
\(707\) | 16.1777 | 0.608426 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 6.79804 | + | 11.7746i | 0.255306 | + | 0.442203i | 0.964979 | − | 0.262329i | \(-0.0844905\pi\) |
−0.709673 | + | 0.704531i | \(0.751157\pi\) | |||||||
\(710\) | 30.6737 | 1.15116 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −0.0938909 | + | 0.162624i | −0.00351871 | + | 0.00609458i | ||||
\(713\) | −0.761172 | − | 1.31839i | −0.0285061 | − | 0.0493740i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 5.46941 | + | 9.47330i | 0.204544 | + | 0.354281i | ||||
\(716\) | −0.442337 | −0.0165309 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 6.31126 | + | 10.9314i | 0.235534 | + | 0.407957i | ||||
\(719\) | 19.2497 | + | 33.3414i | 0.717891 | + | 1.24342i | 0.961834 | + | 0.273634i | \(0.0882257\pi\) |
−0.243943 | + | 0.969790i | \(0.578441\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −7.67666 | −0.285894 | ||||||||
\(722\) | 29.9741 | + | 23.9798i | 1.11552 | + | 0.892437i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 16.6352 | − | 28.8131i | 0.618243 | − | 1.07083i | ||||
\(725\) | −36.9798 | + | 64.0509i | −1.37339 | + | 2.37879i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 51.8485 | 1.92296 | 0.961478 | − | 0.274882i | \(-0.0886387\pi\) | ||||
0.961478 | + | 0.274882i | \(0.0886387\pi\) | |||||||
\(728\) | −0.314205 | + | 0.544219i | −0.0116452 | + | 0.0201701i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 41.9916 | 1.55418 | ||||||||
\(731\) | 26.5769 | + | 46.0325i | 0.982982 | + | 1.70258i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 12.1069 | + | 20.9698i | 0.447179 | + | 0.774536i | 0.998201 | − | 0.0599543i | \(-0.0190955\pi\) |
−0.551023 | + | 0.834490i | \(0.685762\pi\) | |||||||
\(734\) | −2.91967 | − | 5.05701i | −0.107767 | − | 0.186658i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −15.9140 | −0.586596 | ||||||||
\(737\) | 8.64190 | − | 14.9682i | 0.318328 | − | 0.551361i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −5.83272 | − | 10.1026i | −0.214560 | − | 0.371629i | 0.738576 | − | 0.674170i | \(-0.235498\pi\) |
−0.953136 | + | 0.302541i | \(0.902165\pi\) | |||||||
\(740\) | −9.85037 | + | 17.0613i | −0.362107 | + | 0.627187i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −14.7992 | − | 25.6330i | −0.543296 | − | 0.941017i | ||||
\(743\) | −8.04284 | + | 13.9306i | −0.295063 | + | 0.511065i | −0.975000 | − | 0.222207i | \(-0.928674\pi\) |
0.679936 | + | 0.733271i | \(0.262007\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −37.7512 | − | 65.3870i | −1.38310 | − | 2.39560i | ||||
\(746\) | −14.8771 | − | 25.7679i | −0.544690 | − | 0.943431i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 18.6207 | 0.680841 | ||||||||
\(749\) | −0.184033 | + | 0.318755i | −0.00672442 | + | 0.0116470i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −23.1339 | −0.844168 | −0.422084 | − | 0.906557i | \(-0.638701\pi\) | ||||
−0.422084 | + | 0.906557i | \(0.638701\pi\) | |||||||
\(752\) | 2.12132 | + | 3.67424i | 0.0773567 | + | 0.133986i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −11.6296 | − | 20.1431i | −0.423526 | − | 0.733568i | ||||
\(755\) | −13.5698 | − | 23.5036i | −0.493857 | − | 0.855385i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 3.49346 | + | 6.05085i | 0.126972 | + | 0.219922i | 0.922502 | − | 0.385992i | \(-0.126141\pi\) |
−0.795530 | + | 0.605914i | \(0.792807\pi\) | |||||||
\(758\) | 23.7591 | 0.862970 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −2.28402 | + | 1.96247i | −0.0828500 | + | 0.0711862i | ||||
\(761\) | 6.33130 | + | 10.9661i | 0.229510 | + | 0.397522i | 0.957663 | − | 0.287892i | \(-0.0929545\pi\) |
−0.728153 | + | 0.685414i | \(0.759621\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 4.24607 | 0.153718 | ||||||||
\(764\) | −14.2999 | + | 24.7682i | −0.517352 | + | 0.896080i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −31.2202 | + | 54.0749i | −1.12803 | + | 1.95381i | ||||
\(767\) | 0.989200 | − | 1.71334i | 0.0357179 | − | 0.0618653i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −29.3862 | −1.05969 | −0.529847 | − | 0.848093i | \(-0.677751\pi\) | ||||
−0.529847 | + | 0.848093i | \(0.677751\pi\) | |||||||
\(770\) | −22.1125 | −0.796878 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 15.0774 | − | 26.1148i | 0.542647 | − | 0.939892i | ||||
\(773\) | −15.3004 | + | 26.5010i | −0.550316 | + | 0.953176i | 0.447935 | + | 0.894066i | \(0.352159\pi\) |
−0.998252 | + | 0.0591096i | \(0.981174\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −4.83677 | + | 8.37753i | −0.173742 | + | 0.300930i | ||||
\(776\) | −0.620122 | −0.0222611 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 14.3215 | + | 24.8056i | 0.513451 | + | 0.889322i | ||||
\(779\) | 25.1164 | − | 21.5804i | 0.899887 | − | 0.773199i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −4.85460 | −0.173711 | ||||||||
\(782\) | 13.3122 | + | 23.0574i | 0.476044 | + | 0.824533i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −6.10668 | − | 10.5771i | −0.218096 | − | 0.377753i | ||||
\(785\) | 0.573223 | + | 0.992851i | 0.0204592 | + | 0.0354364i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 1.32618 | + | 2.29700i | 0.0472731 | + | 0.0818794i | 0.888694 | − | 0.458501i | \(-0.151614\pi\) |
−0.841421 | + | 0.540381i | \(0.818280\pi\) | |||||||
\(788\) | −34.6972 | −1.23604 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −21.8975 | + | 37.9276i | −0.779079 | + | 1.34940i | ||||
\(791\) | 24.7217 | 0.879003 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.323962 | − | 0.561118i | −0.0115042 | − | 0.0199259i | ||||
\(794\) | −7.04690 | − | 12.2056i | −0.250085 | − | 0.433160i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −10.4034 | + | 18.0193i | −0.368739 | + | 0.638675i | ||||
\(797\) | −4.98622 | − | 8.63638i | −0.176621 | − | 0.305916i | 0.764100 | − | 0.645098i | \(-0.223183\pi\) |
−0.940721 | + | 0.339181i | \(0.889850\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 3.70037 | − | 6.40923i | 0.130910 | − | 0.226742i | ||||
\(800\) | 50.5616 | + | 87.5752i | 1.78762 | + | 3.09625i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 16.9589 | − | 29.3736i | 0.598839 | − | 1.03722i | ||||
\(803\) | −6.64582 | −0.234526 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −8.06240 | − | 13.9645i | −0.284162 | − | 0.492184i | ||||
\(806\) | −1.52110 | − | 2.63461i | −0.0535783 | − | 0.0928003i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −0.683591 | − | 1.18401i | −0.0240487 | − | 0.0416535i | ||||
\(809\) | −35.7179 | −1.25578 | −0.627888 | − | 0.778304i | \(-0.716080\pi\) | ||||
−0.627888 | + | 0.778304i | \(0.716080\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 0.139604 | − | 0.241802i | 0.00490217 | − | 0.00849080i | −0.863564 | − | 0.504239i | \(-0.831773\pi\) |
0.868466 | + | 0.495749i | \(0.165106\pi\) | |||||||
\(812\) | 23.9792 | 0.841506 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 3.05679 | − | 5.29452i | 0.107141 | − | 0.185573i | ||||
\(815\) | 16.7862 | − | 29.0745i | 0.587994 | − | 1.01844i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 32.7245 | + | 11.4793i | 1.14489 | + | 0.401612i | ||||
\(818\) | 27.0725 | 0.946568 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 33.1101 | + | 57.3483i | 1.15625 | + | 2.00269i | ||||
\(821\) | 19.9193 | + | 34.5012i | 0.695188 | + | 1.20410i | 0.970117 | + | 0.242637i | \(0.0780124\pi\) |
−0.274929 | + | 0.961465i | \(0.588654\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −35.2960 | −1.23034 | −0.615171 | − | 0.788394i | \(-0.710913\pi\) | ||||
−0.615171 | + | 0.788394i | \(0.710913\pi\) | |||||||
\(824\) | 0.324378 | + | 0.561839i | 0.0113002 | + | 0.0195726i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.99963 | + | 3.46347i | 0.0695762 | + | 0.120509i | ||||
\(827\) | 3.59739 | − | 6.23087i | 0.125094 | − | 0.216669i | −0.796676 | − | 0.604407i | \(-0.793410\pi\) |
0.921770 | + | 0.387738i | \(0.126744\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 23.9258 | 0.830976 | 0.415488 | − | 0.909599i | \(-0.363611\pi\) | ||||
0.415488 | + | 0.909599i | \(0.363611\pi\) | |||||||
\(830\) | −53.3567 | − | 92.4165i | −1.85204 | − | 3.20782i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −16.8563 | −0.584389 | ||||||||
\(833\) | −10.6523 | + | 18.4503i | −0.369080 | + | 0.639266i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −43.4377 | + | 75.2364i | −1.50323 | + | 2.60366i | ||||
\(836\) | 9.21464 | − | 7.91739i | 0.318695 | − | 0.273829i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −10.6830 | − | 18.5034i | −0.369037 | − | 0.639190i | ||||
\(839\) | −10.6726 | −0.368461 | −0.184230 | − | 0.982883i | \(-0.558979\pi\) | ||||
−0.184230 | + | 0.982883i | \(0.558979\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −2.90867 | + | 5.03796i | −0.100299 | + | 0.173723i | ||||
\(842\) | −38.9253 | −1.34145 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −2.12741 | + | 3.68479i | −0.0732286 | + | 0.126836i | ||||
\(845\) | 19.2478 | − | 33.3381i | 0.662143 | − | 1.14687i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −17.9747 | −0.617618 | ||||||||
\(848\) | 14.3712 | − | 24.8916i | 0.493509 | − | 0.854782i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 84.5908 | − | 146.516i | 2.90144 | − | 5.02544i | ||||
\(851\) | 4.45814 | 0.152823 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 32.2062 | 1.10272 | 0.551359 | − | 0.834268i | \(-0.314109\pi\) | ||||
0.551359 | + | 0.834268i | \(0.314109\pi\) | |||||||
\(854\) | 1.30975 | 0.0448189 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0.0311053 | 0.00106316 | ||||||||
\(857\) | −21.6897 | −0.740906 | −0.370453 | − | 0.928851i | \(-0.620798\pi\) | ||||
−0.370453 | + | 0.928851i | \(0.620798\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 21.5980 | 0.736914 | 0.368457 | − | 0.929645i | \(-0.379886\pi\) | ||||
0.368457 | + | 0.929645i | \(0.379886\pi\) | |||||||
\(860\) | −34.6753 | + | 60.0593i | −1.18242 | + | 2.04800i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −27.8166 | + | 48.1797i | −0.947436 | + | 1.64101i | ||||
\(863\) | 38.7369 | 1.31862 | 0.659309 | − | 0.751872i | \(-0.270849\pi\) | ||||
0.659309 | + | 0.751872i | \(0.270849\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −37.4572 | + | 64.8778i | −1.27358 | + | 2.20591i | ||||
\(866\) | −22.1531 | + | 38.3704i | −0.752794 | + | 1.30388i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 3.13636 | 0.106455 | ||||||||
\(869\) | 3.46563 | − | 6.00264i | 0.117563 | − | 0.203626i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 25.1866 | 0.853416 | ||||||||
\(872\) | −0.179418 | − | 0.310761i | −0.00607585 | − | 0.0105237i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 16.3915 | + | 5.74994i | 0.554452 | + | 0.194495i | ||||
\(875\) | −30.7948 | + | 53.3382i | −1.04106 | + | 1.80316i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −24.2248 | + | 41.9586i | −0.818014 | + | 1.41684i | 0.0891294 | + | 0.996020i | \(0.471592\pi\) |
−0.907143 | + | 0.420822i | \(0.861742\pi\) | |||||||
\(878\) | −28.7346 | −0.969747 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −10.7365 | − | 18.5961i | −0.361926 | − | 0.626874i | ||||
\(881\) | −40.7710 | −1.37361 | −0.686804 | − | 0.726842i | \(-0.740987\pi\) | ||||
−0.686804 | + | 0.726842i | \(0.740987\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 13.5637 | − | 23.4930i | 0.456455 | − | 0.790604i | −0.542315 | − | 0.840175i | \(-0.682452\pi\) |
0.998771 | + | 0.0495713i | \(0.0157855\pi\) | |||||||
\(884\) | 13.5674 | + | 23.4995i | 0.456322 | + | 0.790373i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 14.3778 | + | 24.9030i | 0.483030 | + | 0.836633i | ||||
\(887\) | 41.5865 | 1.39634 | 0.698169 | − | 0.715933i | \(-0.253999\pi\) | ||||
0.698169 | + | 0.715933i | \(0.253999\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −4.59978 | − | 7.96705i | −0.154272 | − | 0.267206i | ||||
\(890\) | −4.81447 | − | 8.33891i | −0.161381 | − | 0.279521i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −54.6450 | −1.82965 | ||||||||
\(893\) | −0.893993 | − | 4.74504i | −0.0299163 | − | 0.158787i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.444894 | − | 0.770578i | 0.0148712 | − | 0.0257576i | ||||
\(896\) | 1.28725 | − | 2.22958i | 0.0430039 | − | 0.0744849i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −6.29272 | −0.209991 | ||||||||
\(899\) | −2.27696 | + | 3.94382i | −0.0759410 | + | 0.131534i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −50.1373 | −1.67031 | ||||||||
\(902\) | −10.2748 | − | 17.7965i | −0.342114 | − | 0.592558i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −1.04462 | − | 1.80933i | −0.0347435 | − | 0.0601775i | ||||
\(905\) | 33.4627 | + | 57.9592i | 1.11234 | + | 1.92663i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −18.6864 | −0.620472 | −0.310236 | − | 0.950660i | \(-0.600408\pi\) | ||||
−0.310236 | + | 0.950660i | \(0.600408\pi\) | |||||||
\(908\) | 25.8594 | − | 44.7897i | 0.858173 | − | 1.48640i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −16.1116 | − | 27.9061i | −0.534094 | − | 0.925078i | ||||
\(911\) | 1.65127 | − | 2.86008i | 0.0547090 | − | 0.0947587i | −0.837374 | − | 0.546631i | \(-0.815910\pi\) |
0.892083 | + | 0.451872i | \(0.149244\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 8.44453 | + | 14.6264i | 0.279473 | + | 0.484062i | ||||
\(914\) | 11.6753 | − | 20.2222i | 0.386185 | − | 0.668892i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −28.4139 | − | 49.2143i | −0.938822 | − | 1.62609i | ||||
\(917\) | 18.4504 | + | 31.9571i | 0.609287 | + | 1.05532i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 11.0557 | 0.364695 | 0.182348 | − | 0.983234i | \(-0.441630\pi\) | ||||
0.182348 | + | 0.983234i | \(0.441630\pi\) | |||||||
\(920\) | −0.681355 | + | 1.18014i | −0.0224636 | + | 0.0389081i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 11.1623 | 0.367611 | ||||||||
\(923\) | −3.53716 | − | 6.12654i | −0.116427 | − | 0.201657i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −14.1643 | − | 24.5333i | −0.465720 | − | 0.806651i | ||||
\(926\) | −12.3533 | − | 21.3966i | −0.405956 | − | 0.703136i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 23.8024 | + | 41.2270i | 0.781354 | + | 1.35334i | ||||
\(929\) | 26.4813 | 0.868822 | 0.434411 | − | 0.900715i | \(-0.356957\pi\) | ||||
0.434411 | + | 0.900715i | \(0.356957\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 2.57355 | + | 13.6596i | 0.0843446 | + | 0.447675i | ||||
\(932\) | −18.4884 | − | 32.0228i | −0.605607 | − | 1.04894i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −4.49270 | −0.147006 | ||||||||
\(935\) | −18.7283 | + | 32.4384i | −0.612482 | + | 1.06085i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −2.52504 | + | 4.37349i | −0.0824894 | + | 0.142876i | −0.904319 | − | 0.426858i | \(-0.859620\pi\) |
0.821829 | + | 0.569734i | \(0.192954\pi\) | |||||||
\(938\) | −25.4570 | + | 44.0928i | −0.831199 | + | 1.43968i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 9.65585 | 0.314939 | ||||||||
\(941\) | −5.88984 | −0.192003 | −0.0960016 | − | 0.995381i | \(-0.530605\pi\) | ||||
−0.0960016 | + | 0.995381i | \(0.530605\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 7.49257 | − | 12.9775i | 0.243992 | − | 0.422606i | ||||
\(944\) | −1.94180 | + | 3.36330i | −0.0632002 | + | 0.109466i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 10.7605 | − | 18.6378i | 0.349855 | − | 0.605966i | ||||
\(947\) | −45.8461 | −1.48980 | −0.744899 | − | 0.667177i | \(-0.767502\pi\) | ||||
−0.744899 | + | 0.667177i | \(0.767502\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −4.84228 | − | 8.38708i | −0.157187 | − | 0.272256i | ||||
\(950\) | −20.4367 | − | 108.472i | −0.663056 | − | 3.51930i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −2.15180 | −0.0697402 | ||||||||
\(953\) | 10.9280 | + | 18.9279i | 0.353993 | + | 0.613134i | 0.986945 | − | 0.161057i | \(-0.0514904\pi\) |
−0.632952 | + | 0.774191i | \(0.718157\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −28.7651 | − | 49.8226i | −0.930817 | − | 1.61222i | ||||
\(956\) | −12.3806 | − | 21.4438i | −0.400416 | − | 0.693541i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 14.0590 | + | 24.3509i | 0.454225 | + | 0.786741i | ||||
\(959\) | −11.0683 | −0.357414 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 15.2022 | − | 26.3310i | 0.490393 | − | 0.849386i | ||||
\(962\) | 8.90897 | 0.287237 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 2.01852 | + | 3.49617i | 0.0650120 | + | 0.112604i | ||||
\(965\) | 30.3290 | + | 52.5314i | 0.976326 | + | 1.69105i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 16.4138 | − | 28.4296i | 0.527833 | − | 0.914233i | −0.471641 | − | 0.881791i | \(-0.656338\pi\) |
0.999474 | − | 0.0324422i | \(-0.0103285\pi\) | |||||||
\(968\) | 0.759523 | + | 1.31553i | 0.0244120 | + | 0.0422828i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 15.8991 | − | 27.5380i | 0.510489 | − | 0.884193i | ||||
\(971\) | −10.5807 | − | 18.3264i | −0.339552 | − | 0.588121i | 0.644797 | − | 0.764354i | \(-0.276942\pi\) |
−0.984348 | + | 0.176233i | \(0.943609\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 6.99193 | − | 12.1104i | 0.224151 | − | 0.388241i | ||||
\(974\) | −49.5606 | −1.58802 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.635937 | + | 1.10147i | 0.0203558 | + | 0.0352573i | ||||
\(977\) | 25.9506 | + | 44.9478i | 0.830234 | + | 1.43801i | 0.897853 | + | 0.440296i | \(0.145126\pi\) |
−0.0676189 | + | 0.997711i | \(0.521540\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.761966 | + | 1.31976i | 0.0243525 | + | 0.0421798i | ||||
\(980\) | −27.7964 | −0.887924 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 17.5806 | − | 30.4505i | 0.561020 | − | 0.971715i | ||||
\(983\) | 0.610142 | 0.0194605 | 0.00973025 | − | 0.999953i | \(-0.496903\pi\) | ||||
0.00973025 | + | 0.999953i | \(0.496903\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 34.8978 | − | 60.4447i | 1.11194 | − | 1.92593i | ||||
\(986\) | 39.8221 | − | 68.9739i | 1.26819 | − | 2.19658i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 16.7058 | + | 5.86017i | 0.531481 | + | 0.186437i | ||||
\(989\) | 15.6935 | 0.499025 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 25.6460 | + | 44.4202i | 0.814673 | + | 1.41106i | 0.909562 | + | 0.415568i | \(0.136417\pi\) |
−0.0948888 | + | 0.995488i | \(0.530250\pi\) | |||||||
\(992\) | 3.11324 | + | 5.39229i | 0.0988454 | + | 0.171205i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 14.3005 | 0.453584 | ||||||||
\(995\) | −20.9271 | − | 36.2468i | −0.663434 | − | 1.14910i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 2.21044 | + | 3.82860i | 0.0700054 | + | 0.121253i | 0.898903 | − | 0.438147i | \(-0.144365\pi\) |
−0.828898 | + | 0.559400i | \(0.811032\pi\) | |||||||
\(998\) | 38.7976 | − | 67.1994i | 1.22812 | − | 2.12716i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 513.2.h.c.235.13 | 32 | ||
3.2 | odd | 2 | 171.2.h.c.7.4 | yes | 32 | ||
9.4 | even | 3 | 513.2.g.c.64.4 | 32 | |||
9.5 | odd | 6 | 171.2.g.c.121.13 | yes | 32 | ||
19.11 | even | 3 | 513.2.g.c.505.4 | 32 | |||
57.11 | odd | 6 | 171.2.g.c.106.13 | ✓ | 32 | ||
171.49 | even | 3 | inner | 513.2.h.c.334.13 | 32 | ||
171.68 | odd | 6 | 171.2.h.c.49.4 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
171.2.g.c.106.13 | ✓ | 32 | 57.11 | odd | 6 | ||
171.2.g.c.121.13 | yes | 32 | 9.5 | odd | 6 | ||
171.2.h.c.7.4 | yes | 32 | 3.2 | odd | 2 | ||
171.2.h.c.49.4 | yes | 32 | 171.68 | odd | 6 | ||
513.2.g.c.64.4 | 32 | 9.4 | even | 3 | |||
513.2.g.c.505.4 | 32 | 19.11 | even | 3 | |||
513.2.h.c.235.13 | 32 | 1.1 | even | 1 | trivial | ||
513.2.h.c.334.13 | 32 | 171.49 | even | 3 | inner |