Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(20,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.be (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 20.20 | ||
Character | \(\chi\) | \(=\) | 189.20 |
Dual form | 189.2.be.a.104.20 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.735125 | + | 2.01974i | 0.519812 | + | 1.42817i | 0.870728 | + | 0.491765i | \(0.163648\pi\) |
−0.350916 | + | 0.936407i | \(0.614130\pi\) | |||||||
\(3\) | 1.28358 | − | 1.16294i | 0.741076 | − | 0.671421i | ||||
\(4\) | −2.00685 | + | 1.68395i | −1.00343 | + | 0.841975i | ||||
\(5\) | −0.0677816 | − | 0.384409i | −0.0303129 | − | 0.171913i | 0.965893 | − | 0.258942i | \(-0.0833738\pi\) |
−0.996206 | + | 0.0870291i | \(0.972263\pi\) | |||||||
\(6\) | 3.29242 | + | 1.73760i | 1.34413 | + | 0.709371i | ||||
\(7\) | 2.64076 | + | 0.162359i | 0.998115 | + | 0.0613658i | ||||
\(8\) | −1.15362 | − | 0.666045i | −0.407868 | − | 0.235483i | ||||
\(9\) | 0.295160 | − | 2.98544i | 0.0983867 | − | 0.995148i | ||||
\(10\) | 0.726578 | − | 0.419490i | 0.229764 | − | 0.132654i | ||||
\(11\) | −4.77807 | − | 0.842503i | −1.44064 | − | 0.254024i | −0.601909 | − | 0.798565i | \(-0.705593\pi\) |
−0.838734 | + | 0.544541i | \(0.816704\pi\) | |||||||
\(12\) | −0.617633 | + | 4.49533i | −0.178295 | + | 1.29769i | ||||
\(13\) | −1.96127 | + | 5.38855i | −0.543959 | + | 1.49451i | 0.297783 | + | 0.954634i | \(0.403753\pi\) |
−0.841742 | + | 0.539881i | \(0.818469\pi\) | |||||||
\(14\) | 1.61337 | + | 5.45301i | 0.431192 | + | 1.45738i | ||||
\(15\) | −0.534046 | − | 0.414594i | −0.137890 | − | 0.107048i | ||||
\(16\) | −0.412653 | + | 2.34027i | −0.103163 | + | 0.585068i | ||||
\(17\) | −3.57147 | − | 6.18597i | −0.866209 | − | 1.50032i | −0.865841 | − | 0.500319i | \(-0.833216\pi\) |
−0.000368279 | − | 1.00000i | \(-0.500117\pi\) | |||||||
\(18\) | 6.24680 | − | 1.59853i | 1.47239 | − | 0.376777i | ||||
\(19\) | −0.398672 | − | 0.230173i | −0.0914616 | − | 0.0528054i | 0.453572 | − | 0.891220i | \(-0.350150\pi\) |
−0.545033 | + | 0.838414i | \(0.683483\pi\) | |||||||
\(20\) | 0.783352 | + | 0.657311i | 0.175163 | + | 0.146979i | ||||
\(21\) | 3.57845 | − | 2.86264i | 0.780881 | − | 0.624679i | ||||
\(22\) | −1.81084 | − | 10.2698i | −0.386073 | − | 2.18953i | ||||
\(23\) | 0.358944 | + | 0.427773i | 0.0748450 | + | 0.0891968i | 0.802168 | − | 0.597099i | \(-0.203680\pi\) |
−0.727323 | + | 0.686296i | \(0.759236\pi\) | |||||||
\(24\) | −2.25534 | + | 0.486668i | −0.460369 | + | 0.0993407i | ||||
\(25\) | 4.55529 | − | 1.65799i | 0.911057 | − | 0.331598i | ||||
\(26\) | −12.3252 | −2.41718 | ||||||||
\(27\) | −3.09302 | − | 4.17531i | −0.595252 | − | 0.803539i | ||||
\(28\) | −5.57303 | + | 4.12109i | −1.05320 | + | 0.778812i | ||||
\(29\) | 1.73522 | + | 4.76747i | 0.322222 | + | 0.885298i | 0.990016 | + | 0.140952i | \(0.0450163\pi\) |
−0.667794 | + | 0.744346i | \(0.732761\pi\) | |||||||
\(30\) | 0.444781 | − | 1.38341i | 0.0812056 | − | 0.252575i | ||||
\(31\) | −2.14159 | − | 2.55225i | −0.384641 | − | 0.458398i | 0.538632 | − | 0.842541i | \(-0.318941\pi\) |
−0.923273 | + | 0.384143i | \(0.874497\pi\) | |||||||
\(32\) | −7.65380 | + | 1.34957i | −1.35301 | + | 0.238573i | ||||
\(33\) | −7.11282 | + | 4.47517i | −1.23818 | + | 0.779027i | ||||
\(34\) | 9.86858 | − | 11.7609i | 1.69245 | − | 2.01698i | ||||
\(35\) | −0.116583 | − | 1.02614i | −0.0197062 | − | 0.173449i | ||||
\(36\) | 4.43500 | + | 6.48838i | 0.739166 | + | 1.08140i | ||||
\(37\) | −1.07348 | − | 1.85933i | −0.176479 | − | 0.305671i | 0.764193 | − | 0.644988i | \(-0.223138\pi\) |
−0.940672 | + | 0.339317i | \(0.889804\pi\) | |||||||
\(38\) | 0.171817 | − | 0.974420i | 0.0278723 | − | 0.158072i | ||||
\(39\) | 3.74909 | + | 9.19747i | 0.600334 | + | 1.47277i | ||||
\(40\) | −0.177839 | + | 0.488609i | −0.0281188 | + | 0.0772558i | ||||
\(41\) | −0.917771 | − | 0.334041i | −0.143332 | − | 0.0521685i | 0.269358 | − | 0.963040i | \(-0.413188\pi\) |
−0.412690 | + | 0.910872i | \(0.635411\pi\) | |||||||
\(42\) | 8.41240 | + | 5.12314i | 1.29806 | + | 0.790517i | ||||
\(43\) | 1.16047 | − | 6.58138i | 0.176971 | − | 1.00365i | −0.758874 | − | 0.651238i | \(-0.774250\pi\) |
0.935845 | − | 0.352413i | \(-0.114639\pi\) | |||||||
\(44\) | 11.0076 | − | 6.35525i | 1.65946 | − | 0.958090i | ||||
\(45\) | −1.16764 | + | 0.0888961i | −0.174061 | + | 0.0132519i | ||||
\(46\) | −0.600121 | + | 1.03944i | −0.0884830 | + | 0.153257i | ||||
\(47\) | 2.83834 | + | 2.38165i | 0.414014 | + | 0.347399i | 0.825880 | − | 0.563845i | \(-0.190679\pi\) |
−0.411867 | + | 0.911244i | \(0.635123\pi\) | |||||||
\(48\) | 2.19191 | + | 3.48382i | 0.316376 | + | 0.502846i | ||||
\(49\) | 6.94728 | + | 0.857502i | 0.992468 | + | 0.122500i | ||||
\(50\) | 6.69741 | + | 7.98167i | 0.947157 | + | 1.12878i | ||||
\(51\) | −11.7782 | − | 3.78680i | −1.64927 | − | 0.530258i | ||||
\(52\) | −5.13806 | − | 14.1167i | −0.712521 | − | 1.95763i | ||||
\(53\) | − | 3.13310i | − | 0.430364i | −0.976574 | − | 0.215182i | \(-0.930966\pi\) | ||
0.976574 | − | 0.215182i | \(-0.0690345\pi\) | |||||||
\(54\) | 6.15929 | − | 9.31647i | 0.838173 | − | 1.26781i | ||||
\(55\) | 1.89384i | 0.255365i | ||||||||
\(56\) | −2.93831 | − | 1.94617i | −0.392648 | − | 0.260068i | ||||
\(57\) | −0.779405 | + | 0.168184i | −0.103235 | + | 0.0222765i | ||||
\(58\) | −8.35346 | + | 7.00938i | −1.09686 | + | 0.920377i | ||||
\(59\) | 0.715255 | + | 4.05641i | 0.0931183 | + | 0.528100i | 0.995308 | + | 0.0967600i | \(0.0308479\pi\) |
−0.902189 | + | 0.431340i | \(0.858041\pi\) | |||||||
\(60\) | 1.76991 | − | 0.0672771i | 0.228494 | − | 0.00868544i | ||||
\(61\) | −7.89549 | + | 9.40948i | −1.01091 | + | 1.20476i | −0.0322101 | + | 0.999481i | \(0.510255\pi\) |
−0.978704 | + | 0.205279i | \(0.934190\pi\) | |||||||
\(62\) | 3.58054 | − | 6.20168i | 0.454730 | − | 0.787615i | ||||
\(63\) | 1.26416 | − | 7.83594i | 0.159269 | − | 0.987235i | ||||
\(64\) | −5.97591 | − | 10.3506i | −0.746989 | − | 1.29382i | ||||
\(65\) | 2.20434 | + | 0.388685i | 0.273415 | + | 0.0482104i | ||||
\(66\) | −14.2675 | − | 11.0762i | −1.75621 | − | 1.36339i | ||||
\(67\) | 6.30401 | + | 2.29447i | 0.770158 | + | 0.280314i | 0.697062 | − | 0.717011i | \(-0.254490\pi\) |
0.0730953 | + | 0.997325i | \(0.476712\pi\) | |||||||
\(68\) | 17.5843 | + | 6.40016i | 2.13241 | + | 0.776133i | ||||
\(69\) | 0.958206 | + | 0.131652i | 0.115354 | + | 0.0158491i | ||||
\(70\) | 1.98683 | − | 0.989808i | 0.237471 | − | 0.118305i | ||||
\(71\) | 6.08593 | − | 3.51371i | 0.722267 | − | 0.417001i | −0.0933194 | − | 0.995636i | \(-0.529748\pi\) |
0.815587 | + | 0.578635i | \(0.196414\pi\) | |||||||
\(72\) | −2.32894 | + | 3.24749i | −0.274469 | + | 0.382720i | ||||
\(73\) | 6.55906 | + | 3.78687i | 0.767680 | + | 0.443220i | 0.832046 | − | 0.554706i | \(-0.187169\pi\) |
−0.0643665 | + | 0.997926i | \(0.520503\pi\) | |||||||
\(74\) | 2.96621 | − | 3.53499i | 0.344815 | − | 0.410935i | ||||
\(75\) | 3.91895 | − | 7.42567i | 0.452521 | − | 0.857443i | ||||
\(76\) | 1.18768 | − | 0.209419i | 0.136236 | − | 0.0240221i | ||||
\(77\) | −12.4810 | − | 3.00061i | −1.42234 | − | 0.341952i | ||||
\(78\) | −15.8205 | + | 14.3335i | −1.79131 | + | 1.62295i | ||||
\(79\) | −0.818714 | + | 0.297987i | −0.0921125 | + | 0.0335262i | −0.387665 | − | 0.921800i | \(-0.626718\pi\) |
0.295553 | + | 0.955326i | \(0.404496\pi\) | |||||||
\(80\) | 0.927591 | 0.103708 | ||||||||
\(81\) | −8.82576 | − | 1.76237i | −0.980640 | − | 0.195819i | ||||
\(82\) | − | 2.09922i | − | 0.231820i | ||||||
\(83\) | −6.78293 | + | 2.46878i | −0.744523 | + | 0.270984i | −0.686299 | − | 0.727319i | \(-0.740766\pi\) |
−0.0582238 | + | 0.998304i | \(0.518544\pi\) | |||||||
\(84\) | −2.36088 | + | 11.7708i | −0.257593 | + | 1.28430i | ||||
\(85\) | −2.13586 | + | 1.79220i | −0.231667 | + | 0.194391i | ||||
\(86\) | 14.1458 | − | 2.49428i | 1.52538 | − | 0.268965i | ||||
\(87\) | 7.77156 | + | 4.10149i | 0.833199 | + | 0.439726i | ||||
\(88\) | 4.95095 | + | 4.15434i | 0.527773 | + | 0.442854i | ||||
\(89\) | −2.65800 | + | 4.60379i | −0.281748 | + | 0.488001i | −0.971815 | − | 0.235744i | \(-0.924247\pi\) |
0.690068 | + | 0.723745i | \(0.257581\pi\) | |||||||
\(90\) | −1.03791 | − | 2.29297i | −0.109405 | − | 0.241701i | ||||
\(91\) | −6.05413 | + | 13.9115i | −0.634646 | + | 1.45832i | ||||
\(92\) | −1.44070 | − | 0.254033i | −0.150203 | − | 0.0264848i | ||||
\(93\) | −5.71701 | − | 0.785485i | −0.592826 | − | 0.0814510i | ||||
\(94\) | −2.72378 | + | 7.48351i | −0.280936 | + | 0.771865i | ||||
\(95\) | −0.0614580 | + | 0.168854i | −0.00630546 | + | 0.0173241i | ||||
\(96\) | −8.25481 | + | 10.6332i | −0.842503 | + | 1.08524i | ||||
\(97\) | −10.7873 | − | 1.90209i | −1.09528 | − | 0.193128i | −0.403318 | − | 0.915060i | \(-0.632143\pi\) |
−0.691964 | + | 0.721932i | \(0.743254\pi\) | |||||||
\(98\) | 3.37519 | + | 14.6621i | 0.340946 | + | 1.48109i | ||||
\(99\) | −3.92554 | + | 14.0160i | −0.394532 | + | 1.40866i | ||||
\(100\) | −6.34982 | + | 10.9982i | −0.634982 | + | 1.09982i | ||||
\(101\) | 10.5964 | + | 8.89141i | 1.05438 | + | 0.884728i | 0.993547 | − | 0.113420i | \(-0.0361806\pi\) |
0.0608307 | + | 0.998148i | \(0.480625\pi\) | |||||||
\(102\) | −1.01007 | − | 26.5726i | −0.100012 | − | 2.63108i | ||||
\(103\) | 12.0281 | − | 2.12089i | 1.18517 | − | 0.208977i | 0.453890 | − | 0.891058i | \(-0.350036\pi\) |
0.731277 | + | 0.682080i | \(0.238925\pi\) | |||||||
\(104\) | 5.85159 | − | 4.91006i | 0.573795 | − | 0.481471i | ||||
\(105\) | −1.34298 | − | 1.18155i | −0.131061 | − | 0.115308i | ||||
\(106\) | 6.32804 | − | 2.30322i | 0.614634 | − | 0.223708i | ||||
\(107\) | 5.57017i | 0.538489i | 0.963072 | + | 0.269244i | \(0.0867739\pi\) | ||||
−0.963072 | + | 0.269244i | \(0.913226\pi\) | |||||||
\(108\) | 13.2383 | + | 3.17075i | 1.27385 | + | 0.305106i | ||||
\(109\) | −3.73204 | −0.357464 | −0.178732 | − | 0.983898i | \(-0.557200\pi\) | ||||
−0.178732 | + | 0.983898i | \(0.557200\pi\) | |||||||
\(110\) | −3.82506 | + | 1.39221i | −0.364705 | + | 0.132742i | ||||
\(111\) | −3.54018 | − | 1.13820i | −0.336019 | − | 0.108034i | ||||
\(112\) | −1.46968 | + | 6.11311i | −0.138872 | + | 0.577635i | ||||
\(113\) | −9.56433 | + | 1.68645i | −0.899737 | + | 0.158648i | −0.604340 | − | 0.796727i | \(-0.706563\pi\) |
−0.295397 | + | 0.955375i | \(0.595452\pi\) | |||||||
\(114\) | −0.912648 | − | 1.45056i | −0.0854773 | − | 0.135857i | ||||
\(115\) | 0.140110 | − | 0.166976i | 0.0130653 | − | 0.0155706i | ||||
\(116\) | −11.5105 | − | 6.64560i | −1.06872 | − | 0.617028i | ||||
\(117\) | 15.5083 | + | 7.44575i | 1.43375 | + | 0.688360i | ||||
\(118\) | −7.66710 | + | 4.42660i | −0.705814 | + | 0.407502i | ||||
\(119\) | −8.42708 | − | 16.9156i | −0.772509 | − | 1.55065i | ||||
\(120\) | 0.339950 | + | 0.833984i | 0.0310330 | + | 0.0761320i | ||||
\(121\) | 11.7835 | + | 4.28886i | 1.07123 | + | 0.389896i | ||||
\(122\) | −24.8089 | − | 9.02969i | −2.24609 | − | 0.817510i | ||||
\(123\) | −1.56650 | + | 0.638540i | −0.141247 | + | 0.0575752i | ||||
\(124\) | 8.59572 | + | 1.51566i | 0.771919 | + | 0.136110i | ||||
\(125\) | −1.92196 | − | 3.32893i | −0.171905 | − | 0.297748i | ||||
\(126\) | 16.7559 | − | 3.20712i | 1.49273 | − | 0.285713i | ||||
\(127\) | 5.60501 | − | 9.70817i | 0.497365 | − | 0.861461i | −0.502631 | − | 0.864501i | \(-0.667634\pi\) |
0.999995 | + | 0.00304049i | \(0.000967819\pi\) | |||||||
\(128\) | 6.52112 | − | 7.77157i | 0.576391 | − | 0.686916i | ||||
\(129\) | −6.16416 | − | 9.79729i | −0.542724 | − | 0.862603i | ||||
\(130\) | 0.835425 | + | 4.73793i | 0.0732716 | + | 0.415544i | ||||
\(131\) | 16.2722 | − | 13.6540i | 1.42171 | − | 1.19296i | 0.471295 | − | 0.881976i | \(-0.343787\pi\) |
0.950416 | − | 0.310982i | \(-0.100658\pi\) | |||||||
\(132\) | 6.73842 | − | 20.9586i | 0.586504 | − | 1.82422i | ||||
\(133\) | −1.01543 | − | 0.672562i | −0.0880488 | − | 0.0583185i | ||||
\(134\) | 14.4192i | 1.24563i | ||||||||
\(135\) | −1.39538 | + | 1.47199i | −0.120095 | + | 0.126689i | ||||
\(136\) | 9.51505i | 0.815909i | ||||||||
\(137\) | −0.365575 | − | 1.00441i | −0.0312332 | − | 0.0858125i | 0.923096 | − | 0.384570i | \(-0.125650\pi\) |
−0.954329 | + | 0.298757i | \(0.903428\pi\) | |||||||
\(138\) | 0.438498 | + | 2.03211i | 0.0373274 | + | 0.172984i | ||||
\(139\) | 3.73504 | + | 4.45125i | 0.316802 | + | 0.377550i | 0.900821 | − | 0.434190i | \(-0.142965\pi\) |
−0.584020 | + | 0.811740i | \(0.698521\pi\) | |||||||
\(140\) | 1.96193 | + | 1.86299i | 0.165813 | + | 0.157451i | ||||
\(141\) | 6.41294 | − | 0.243766i | 0.540067 | − | 0.0205288i | ||||
\(142\) | 11.5707 | + | 9.70898i | 0.970993 | + | 0.814760i | ||||
\(143\) | 13.9110 | − | 24.0945i | 1.16329 | − | 2.01488i | ||||
\(144\) | 6.86496 | + | 1.92271i | 0.572080 | + | 0.160226i | ||||
\(145\) | 1.71504 | − | 0.990180i | 0.142427 | − | 0.0822300i | ||||
\(146\) | −2.82677 | + | 16.0314i | −0.233945 | + | 1.32677i | ||||
\(147\) | 9.91462 | − | 6.97857i | 0.817744 | − | 0.575583i | ||||
\(148\) | 5.28533 | + | 1.92370i | 0.434452 | + | 0.158127i | ||||
\(149\) | 0.464232 | − | 1.27547i | 0.0380314 | − | 0.104490i | −0.919223 | − | 0.393736i | \(-0.871182\pi\) |
0.957255 | + | 0.289246i | \(0.0934045\pi\) | |||||||
\(150\) | 17.8788 | + | 2.45645i | 1.45980 | + | 0.200569i | ||||
\(151\) | −2.48969 | + | 14.1197i | −0.202608 | + | 1.14905i | 0.698552 | + | 0.715559i | \(0.253828\pi\) |
−0.901160 | + | 0.433487i | \(0.857283\pi\) | |||||||
\(152\) | 0.306612 | + | 0.531067i | 0.0248695 | + | 0.0430752i | ||||
\(153\) | −19.5220 | + | 8.83658i | −1.57826 | + | 0.714395i | ||||
\(154\) | −3.11462 | − | 27.4142i | −0.250983 | − | 2.20910i | ||||
\(155\) | −0.835946 | + | 0.996242i | −0.0671448 | + | 0.0800201i | ||||
\(156\) | −23.0119 | − | 12.1447i | −1.84243 | − | 0.972354i | ||||
\(157\) | 1.93067 | − | 0.340430i | 0.154085 | − | 0.0271693i | −0.0960737 | − | 0.995374i | \(-0.530628\pi\) |
0.250158 | + | 0.968205i | \(0.419517\pi\) | |||||||
\(158\) | −1.20371 | − | 1.43453i | −0.0957624 | − | 0.114125i | ||||
\(159\) | −3.64359 | − | 4.02158i | −0.288956 | − | 0.318932i | ||||
\(160\) | 1.03757 | + | 2.85071i | 0.0820274 | + | 0.225369i | ||||
\(161\) | 0.878434 | + | 1.18792i | 0.0692303 | + | 0.0936216i | ||||
\(162\) | −2.92851 | − | 19.1213i | −0.230086 | − | 1.50231i | ||||
\(163\) | 14.8246 | 1.16115 | 0.580575 | − | 0.814207i | \(-0.302828\pi\) | ||||
0.580575 | + | 0.814207i | \(0.302828\pi\) | |||||||
\(164\) | 2.40434 | − | 0.875109i | 0.187748 | − | 0.0683345i | ||||
\(165\) | 2.20241 | + | 2.43089i | 0.171458 | + | 0.189245i | ||||
\(166\) | −9.97260 | − | 11.8849i | −0.774024 | − | 0.922446i | ||||
\(167\) | 0.656828 | + | 3.72506i | 0.0508269 | + | 0.288254i | 0.999618 | − | 0.0276516i | \(-0.00880290\pi\) |
−0.948791 | + | 0.315905i | \(0.897692\pi\) | |||||||
\(168\) | −6.03483 | + | 0.919002i | −0.465597 | + | 0.0709026i | ||||
\(169\) | −15.2313 | − | 12.7806i | −1.17164 | − | 0.983121i | ||||
\(170\) | −5.18990 | − | 2.99639i | −0.398048 | − | 0.229813i | ||||
\(171\) | −0.804842 | + | 1.12228i | −0.0615478 | + | 0.0858225i | ||||
\(172\) | 8.75381 | + | 15.1620i | 0.667472 | + | 1.15609i | ||||
\(173\) | −2.67149 | + | 15.1508i | −0.203110 | + | 1.15189i | 0.697277 | + | 0.716802i | \(0.254395\pi\) |
−0.900387 | + | 0.435090i | \(0.856716\pi\) | |||||||
\(174\) | −2.57088 | + | 18.7116i | −0.194898 | + | 1.41853i | ||||
\(175\) | 12.2986 | − | 3.63877i | 0.929689 | − | 0.275065i | ||||
\(176\) | 3.94337 | − | 10.8343i | 0.297243 | − | 0.816669i | ||||
\(177\) | 5.63544 | + | 4.37494i | 0.423585 | + | 0.328841i | ||||
\(178\) | −11.2524 | − | 1.98411i | −0.843405 | − | 0.148715i | ||||
\(179\) | 14.0113 | − | 8.08943i | 1.04725 | − | 0.604632i | 0.125374 | − | 0.992109i | \(-0.459987\pi\) |
0.921879 | + | 0.387477i | \(0.126653\pi\) | |||||||
\(180\) | 2.19358 | − | 2.14464i | 0.163500 | − | 0.159852i | ||||
\(181\) | −15.8886 | − | 9.17326i | −1.18099 | − | 0.681843i | −0.224744 | − | 0.974418i | \(-0.572155\pi\) |
−0.956243 | + | 0.292575i | \(0.905488\pi\) | |||||||
\(182\) | −32.5481 | − | 2.00111i | −2.41262 | − | 0.148332i | ||||
\(183\) | 0.808119 | + | 21.2598i | 0.0597379 | + | 1.57157i | ||||
\(184\) | −0.129170 | − | 0.732562i | −0.00952257 | − | 0.0540052i | ||||
\(185\) | −0.641978 | + | 0.538684i | −0.0471992 | + | 0.0396048i | ||||
\(186\) | −2.61624 | − | 12.1243i | −0.191832 | − | 0.888997i | ||||
\(187\) | 11.8531 | + | 32.5660i | 0.866781 | + | 2.38146i | ||||
\(188\) | −9.70670 | −0.707934 | ||||||||
\(189\) | −7.49004 | − | 11.5282i | −0.544820 | − | 0.838553i | ||||
\(190\) | −0.386222 | −0.0280195 | ||||||||
\(191\) | −6.87241 | − | 18.8818i | −0.497270 | − | 1.36624i | −0.893903 | − | 0.448261i | \(-0.852044\pi\) |
0.396633 | − | 0.917977i | \(-0.370179\pi\) | |||||||
\(192\) | −19.7076 | − | 6.33621i | −1.42228 | − | 0.457277i | ||||
\(193\) | −16.4758 | + | 13.8249i | −1.18596 | + | 0.995136i | −0.186037 | + | 0.982543i | \(0.559564\pi\) |
−0.999921 | + | 0.0125936i | \(0.995991\pi\) | |||||||
\(194\) | −4.08827 | − | 23.1858i | −0.293521 | − | 1.66464i | ||||
\(195\) | 3.28147 | − | 2.06460i | 0.234991 | − | 0.147849i | ||||
\(196\) | −15.3862 | + | 9.97799i | −1.09901 | + | 0.712713i | ||||
\(197\) | 2.96839 | + | 1.71380i | 0.211489 | + | 0.122103i | 0.602003 | − | 0.798494i | \(-0.294369\pi\) |
−0.390514 | + | 0.920597i | \(0.627703\pi\) | |||||||
\(198\) | −31.1944 | + | 2.37494i | −2.21689 | + | 0.168779i | ||||
\(199\) | 9.32690 | − | 5.38489i | 0.661166 | − | 0.381725i | −0.131555 | − | 0.991309i | \(-0.541997\pi\) |
0.792721 | + | 0.609584i | \(0.208664\pi\) | |||||||
\(200\) | −6.35938 | − | 1.12133i | −0.449676 | − | 0.0792901i | ||||
\(201\) | 10.7600 | − | 4.38602i | 0.758954 | − | 0.309366i | ||||
\(202\) | −10.1687 | + | 27.9382i | −0.715466 | + | 1.96573i | ||||
\(203\) | 3.80826 | + | 12.8715i | 0.267288 | + | 0.903403i | ||||
\(204\) | 30.0138 | − | 12.2343i | 2.10139 | − | 0.856571i | ||||
\(205\) | −0.0662004 | + | 0.375441i | −0.00462364 | + | 0.0262219i | ||||
\(206\) | 13.1258 | + | 22.7346i | 0.914520 | + | 1.58399i | ||||
\(207\) | 1.38304 | − | 0.945346i | 0.0961278 | − | 0.0657061i | ||||
\(208\) | −11.8014 | − | 6.81351i | −0.818276 | − | 0.472432i | ||||
\(209\) | 1.71096 | + | 1.43567i | 0.118350 | + | 0.0993072i | ||||
\(210\) | 1.39917 | − | 3.58105i | 0.0965521 | − | 0.247116i | ||||
\(211\) | 0.0518221 | + | 0.293898i | 0.00356758 | + | 0.0202327i | 0.986540 | − | 0.163523i | \(-0.0522857\pi\) |
−0.982972 | + | 0.183755i | \(0.941175\pi\) | |||||||
\(212\) | 5.27598 | + | 6.28767i | 0.362356 | + | 0.431839i | ||||
\(213\) | 3.72556 | − | 11.5877i | 0.255271 | − | 0.793975i | ||||
\(214\) | −11.2503 | + | 4.09477i | −0.769054 | + | 0.279913i | ||||
\(215\) | −2.60860 | −0.177905 | ||||||||
\(216\) | 0.787234 | + | 6.87683i | 0.0535645 | + | 0.467909i | ||||
\(217\) | −5.24106 | − | 7.08760i | −0.355786 | − | 0.481138i | ||||
\(218\) | −2.74352 | − | 7.53775i | −0.185814 | − | 0.510521i | ||||
\(219\) | 12.8230 | − | 2.76701i | 0.866496 | − | 0.186977i | ||||
\(220\) | −3.18913 | − | 3.80065i | −0.215011 | − | 0.256240i | ||||
\(221\) | 40.3380 | − | 7.11269i | 2.71343 | − | 0.478451i | ||||
\(222\) | −0.303598 | − | 7.98696i | −0.0203761 | − | 0.536050i | ||||
\(223\) | 1.84202 | − | 2.19524i | 0.123351 | − | 0.147004i | −0.700835 | − | 0.713324i | \(-0.747189\pi\) |
0.824185 | + | 0.566320i | \(0.191633\pi\) | |||||||
\(224\) | −20.4310 | + | 2.32124i | −1.36510 | + | 0.155094i | ||||
\(225\) | −3.60529 | − | 14.0889i | −0.240353 | − | 0.939262i | ||||
\(226\) | −10.4372 | − | 18.0777i | −0.694270 | − | 1.20251i | ||||
\(227\) | −4.81038 | + | 27.2810i | −0.319276 | + | 1.81070i | 0.227897 | + | 0.973685i | \(0.426815\pi\) |
−0.547173 | + | 0.837019i | \(0.684296\pi\) | |||||||
\(228\) | 1.28094 | − | 1.65000i | 0.0848322 | − | 0.109274i | ||||
\(229\) | 8.06759 | − | 22.1655i | 0.533121 | − | 1.46474i | −0.322216 | − | 0.946666i | \(-0.604428\pi\) |
0.855337 | − | 0.518072i | \(-0.173350\pi\) | |||||||
\(230\) | 0.440247 | + | 0.160237i | 0.0290290 | + | 0.0105657i | ||||
\(231\) | −19.5099 | + | 10.6630i | −1.28365 | + | 0.701577i | ||||
\(232\) | 1.17356 | − | 6.65561i | 0.0770482 | − | 0.436962i | ||||
\(233\) | 7.45007 | − | 4.30130i | 0.488070 | − | 0.281787i | −0.235703 | − | 0.971825i | \(-0.575739\pi\) |
0.723774 | + | 0.690038i | \(0.242406\pi\) | |||||||
\(234\) | −3.63792 | + | 36.7963i | −0.237818 | + | 2.40545i | ||||
\(235\) | 0.723139 | − | 1.25251i | 0.0471724 | − | 0.0817049i | ||||
\(236\) | −8.26621 | − | 6.93617i | −0.538084 | − | 0.451506i | ||||
\(237\) | −0.704345 | + | 1.33460i | −0.0457521 | + | 0.0866918i | ||||
\(238\) | 27.9701 | − | 29.4556i | 1.81303 | − | 1.90932i | ||||
\(239\) | 8.52364 | + | 10.1581i | 0.551348 | + | 0.657071i | 0.967692 | − | 0.252136i | \(-0.0811331\pi\) |
−0.416344 | + | 0.909207i | \(0.636689\pi\) | |||||||
\(240\) | 1.19064 | − | 1.07873i | 0.0768554 | − | 0.0696317i | ||||
\(241\) | −3.73945 | − | 10.2740i | −0.240879 | − | 0.661809i | −0.999942 | − | 0.0107919i | \(-0.996565\pi\) |
0.759063 | − | 0.651017i | \(-0.225657\pi\) | |||||||
\(242\) | 26.9525i | 1.73258i | ||||||||
\(243\) | −13.3781 | + | 8.00165i | −0.858206 | + | 0.513306i | ||||
\(244\) | − | 32.1790i | − | 2.06005i | ||||||
\(245\) | −0.141267 | − | 2.72872i | −0.00902520 | − | 0.174331i | ||||
\(246\) | −2.44126 | − | 2.69452i | −0.155649 | − | 0.171796i | ||||
\(247\) | 2.02220 | − | 1.69683i | 0.128670 | − | 0.107967i | ||||
\(248\) | 0.770678 | + | 4.37073i | 0.0489381 | + | 0.277542i | ||||
\(249\) | −5.83540 | + | 11.0570i | −0.369803 | + | 0.700708i | ||||
\(250\) | 5.31069 | − | 6.32903i | 0.335877 | − | 0.400283i | ||||
\(251\) | 5.12956 | − | 8.88466i | 0.323775 | − | 0.560795i | −0.657489 | − | 0.753464i | \(-0.728381\pi\) |
0.981264 | + | 0.192670i | \(0.0617146\pi\) | |||||||
\(252\) | 10.6583 | + | 17.8544i | 0.671412 | + | 1.12472i | ||||
\(253\) | −1.35466 | − | 2.34634i | −0.0851667 | − | 0.147513i | ||||
\(254\) | 23.7284 | + | 4.18395i | 1.48885 | + | 0.262524i | ||||
\(255\) | −0.657337 | + | 4.78430i | −0.0411640 | + | 0.299605i | ||||
\(256\) | −1.97169 | − | 0.717638i | −0.123231 | − | 0.0448524i | ||||
\(257\) | −1.27159 | − | 0.462822i | −0.0793198 | − | 0.0288700i | 0.302055 | − | 0.953290i | \(-0.402327\pi\) |
−0.381375 | + | 0.924420i | \(0.624549\pi\) | |||||||
\(258\) | 15.2566 | − | 19.6522i | 0.949831 | − | 1.22349i | ||||
\(259\) | −2.53294 | − | 5.08433i | −0.157389 | − | 0.315925i | ||||
\(260\) | −5.07832 | + | 2.93197i | −0.314944 | + | 0.181833i | ||||
\(261\) | 14.7452 | − | 3.77323i | 0.912705 | − | 0.233557i | ||||
\(262\) | 39.5397 | + | 22.8283i | 2.44277 | + | 1.41033i | ||||
\(263\) | 4.58008 | − | 5.45832i | 0.282420 | − | 0.336575i | −0.606121 | − | 0.795372i | \(-0.707275\pi\) |
0.888541 | + | 0.458798i | \(0.151720\pi\) | |||||||
\(264\) | 11.1862 | − | 0.425206i | 0.688462 | − | 0.0261696i | ||||
\(265\) | −1.20439 | + | 0.212366i | −0.0739851 | + | 0.0130456i | ||||
\(266\) | 0.611933 | − | 2.54532i | 0.0375200 | − | 0.156064i | ||||
\(267\) | 1.94216 | + | 9.00042i | 0.118858 | + | 0.550817i | ||||
\(268\) | −16.5150 | + | 6.01097i | −1.00881 | + | 0.367178i | ||||
\(269\) | 6.69363 | 0.408118 | 0.204059 | − | 0.978959i | \(-0.434587\pi\) | ||||
0.204059 | + | 0.978959i | \(0.434587\pi\) | |||||||
\(270\) | −3.99882 | − | 1.73620i | −0.243360 | − | 0.105662i | ||||
\(271\) | − | 15.0044i | − | 0.911450i | −0.890121 | − | 0.455725i | \(-0.849380\pi\) | ||
0.890121 | − | 0.455725i | \(-0.150620\pi\) | |||||||
\(272\) | 15.9506 | − | 5.80556i | 0.967150 | − | 0.352014i | ||||
\(273\) | 8.40717 | + | 24.8971i | 0.508825 | + | 1.50684i | ||||
\(274\) | 1.75990 | − | 1.47673i | 0.106320 | − | 0.0892128i | ||||
\(275\) | −23.1624 | + | 4.08415i | −1.39674 | + | 0.246283i | ||||
\(276\) | −2.14467 | + | 1.34936i | −0.129094 | + | 0.0812222i | ||||
\(277\) | −19.7269 | − | 16.5529i | −1.18528 | − | 0.994566i | −0.999929 | − | 0.0118925i | \(-0.996214\pi\) |
−0.185348 | − | 0.982673i | \(-0.559341\pi\) | |||||||
\(278\) | −6.24464 | + | 10.8160i | −0.374529 | + | 0.648703i | ||||
\(279\) | −8.25171 | + | 5.64028i | −0.494017 | + | 0.337675i | ||||
\(280\) | −0.548961 | + | 1.26143i | −0.0328067 | + | 0.0753847i | ||||
\(281\) | −7.95320 | − | 1.40236i | −0.474448 | − | 0.0836580i | −0.0686892 | − | 0.997638i | \(-0.521882\pi\) |
−0.405759 | + | 0.913980i | \(0.632993\pi\) | |||||||
\(282\) | 5.20666 | + | 12.7733i | 0.310052 | + | 0.760637i | ||||
\(283\) | −2.15839 | + | 5.93013i | −0.128303 | + | 0.352510i | −0.987166 | − | 0.159695i | \(-0.948949\pi\) |
0.858863 | + | 0.512205i | \(0.171171\pi\) | |||||||
\(284\) | −6.29665 | + | 17.2999i | −0.373638 | + | 1.02656i | ||||
\(285\) | 0.117481 | + | 0.288210i | 0.00695895 | + | 0.0170721i | ||||
\(286\) | 58.8909 | + | 10.3841i | 3.48229 | + | 0.614022i | ||||
\(287\) | −2.36938 | − | 1.03113i | −0.139860 | − | 0.0608659i | ||||
\(288\) | 1.76997 | + | 23.2483i | 0.104297 | + | 1.36992i | ||||
\(289\) | −17.0108 | + | 29.4636i | −1.00064 | + | 1.73316i | ||||
\(290\) | 3.26068 | + | 2.73603i | 0.191474 | + | 0.160665i | ||||
\(291\) | −16.0583 | + | 10.1034i | −0.941357 | + | 0.592273i | ||||
\(292\) | −19.5400 | + | 3.44542i | −1.14349 | + | 0.201628i | ||||
\(293\) | −6.25563 | + | 5.24910i | −0.365458 | + | 0.306656i | −0.806962 | − | 0.590604i | \(-0.798890\pi\) |
0.441504 | + | 0.897259i | \(0.354445\pi\) | |||||||
\(294\) | 21.3834 | + | 14.8948i | 1.24710 | + | 0.868684i | ||||
\(295\) | 1.51084 | − | 0.549900i | 0.0879644 | − | 0.0320164i | ||||
\(296\) | 2.85995i | 0.166231i | ||||||||
\(297\) | 11.2610 | + | 22.5558i | 0.653427 | + | 1.30882i | ||||
\(298\) | 2.91738 | 0.168999 | ||||||||
\(299\) | −3.00906 | + | 1.09521i | −0.174018 | + | 0.0633375i | ||||
\(300\) | 4.63971 | + | 21.5015i | 0.267874 | + | 1.24139i | ||||
\(301\) | 4.13308 | − | 17.1915i | 0.238227 | − | 0.990899i | ||||
\(302\) | −30.3484 | + | 5.35124i | −1.74635 | + | 0.307929i | ||||
\(303\) | 23.9414 | − | 0.910054i | 1.37540 | − | 0.0522812i | ||||
\(304\) | 0.703182 | − | 0.838020i | 0.0403303 | − | 0.0480637i | ||||
\(305\) | 4.15225 | + | 2.39730i | 0.237757 | + | 0.137269i | ||||
\(306\) | −32.1987 | − | 32.9335i | −1.84068 | − | 1.88268i | ||||
\(307\) | 20.0345 | − | 11.5669i | 1.14343 | − | 0.660159i | 0.196151 | − | 0.980574i | \(-0.437156\pi\) |
0.947277 | + | 0.320415i | \(0.103822\pi\) | |||||||
\(308\) | 30.1004 | − | 14.9955i | 1.71513 | − | 0.854451i | ||||
\(309\) | 12.9726 | − | 16.7103i | 0.737987 | − | 0.950615i | ||||
\(310\) | −2.62668 | − | 0.956032i | −0.149185 | − | 0.0542990i | ||||
\(311\) | −22.1526 | − | 8.06290i | −1.25616 | − | 0.457205i | −0.373682 | − | 0.927557i | \(-0.621905\pi\) |
−0.882479 | + | 0.470352i | \(0.844127\pi\) | |||||||
\(312\) | 1.80090 | − | 13.1075i | 0.101956 | − | 0.742065i | ||||
\(313\) | −11.7748 | − | 2.07621i | −0.665550 | − | 0.117354i | −0.169341 | − | 0.985557i | \(-0.554164\pi\) |
−0.496209 | + | 0.868203i | \(0.665275\pi\) | |||||||
\(314\) | 2.10687 | + | 3.64920i | 0.118897 | + | 0.205936i | ||||
\(315\) | −3.09789 | + | 0.0451778i | −0.174546 | + | 0.00254548i | ||||
\(316\) | 1.14124 | − | 1.97669i | 0.0641999 | − | 0.111197i | ||||
\(317\) | −18.1039 | + | 21.5754i | −1.01682 | + | 1.21179i | −0.0396733 | + | 0.999213i | \(0.512632\pi\) |
−0.977143 | + | 0.212582i | \(0.931813\pi\) | |||||||
\(318\) | 5.44406 | − | 10.3155i | 0.305288 | − | 0.578463i | ||||
\(319\) | −4.27439 | − | 24.2413i | −0.239320 | − | 1.35725i | ||||
\(320\) | −3.57380 | + | 2.99877i | −0.199781 | + | 0.167636i | ||||
\(321\) | 6.47775 | + | 7.14976i | 0.361553 | + | 0.399061i | ||||
\(322\) | −1.75354 | + | 2.64748i | −0.0977210 | + | 0.147538i | ||||
\(323\) | 3.28823i | 0.182962i | ||||||||
\(324\) | 20.6797 | − | 11.3253i | 1.14887 | − | 0.629184i | ||||
\(325\) | 27.7982i | 1.54196i | ||||||||
\(326\) | 10.8979 | + | 29.9418i | 0.603580 | + | 1.65832i | ||||
\(327\) | −4.79037 | + | 4.34012i | −0.264908 | + | 0.240009i | ||||
\(328\) | 0.836276 | + | 0.996635i | 0.0461756 | + | 0.0550300i | ||||
\(329\) | 7.10870 | + | 6.75020i | 0.391915 | + | 0.372150i | ||||
\(330\) | −3.29073 | + | 6.23531i | −0.181149 | + | 0.343243i | ||||
\(331\) | −11.5569 | − | 9.69739i | −0.635224 | − | 0.533017i | 0.267323 | − | 0.963607i | \(-0.413861\pi\) |
−0.902547 | + | 0.430590i | \(0.858305\pi\) | |||||||
\(332\) | 9.45503 | − | 16.3766i | 0.518912 | − | 0.898782i | ||||
\(333\) | −5.86776 | + | 2.65602i | −0.321551 | + | 0.145549i | ||||
\(334\) | −7.04080 | + | 4.06501i | −0.385255 | + | 0.222427i | ||||
\(335\) | 0.454719 | − | 2.57884i | 0.0248440 | − | 0.140897i | ||||
\(336\) | 5.22270 | + | 9.55582i | 0.284922 | + | 0.521313i | ||||
\(337\) | −15.3260 | − | 5.57821i | −0.834860 | − | 0.303864i | −0.111008 | − | 0.993819i | \(-0.535408\pi\) |
−0.723852 | + | 0.689955i | \(0.757630\pi\) | |||||||
\(338\) | 14.6165 | − | 40.1586i | 0.795034 | − | 2.18434i | ||||
\(339\) | −10.3154 | + | 13.2874i | −0.560253 | + | 0.721672i | ||||
\(340\) | 1.26838 | − | 7.19337i | 0.0687878 | − | 0.390115i | ||||
\(341\) | 8.08240 | + | 13.9991i | 0.437687 | + | 0.758096i | ||||
\(342\) | −2.85836 | − | 0.800559i | −0.154563 | − | 0.0432893i | ||||
\(343\) | 18.2069 | + | 3.39241i | 0.983081 | + | 0.183173i | ||||
\(344\) | −5.72225 | + | 6.81951i | −0.308523 | + | 0.367683i | ||||
\(345\) | −0.0143405 | − | 0.377266i | −0.000772067 | − | 0.0203113i | ||||
\(346\) | −32.5645 | + | 5.74200i | −1.75068 | + | 0.308692i | ||||
\(347\) | −23.3846 | − | 27.8687i | −1.25535 | − | 1.49607i | −0.792802 | − | 0.609480i | \(-0.791378\pi\) |
−0.462552 | − | 0.886592i | \(-0.653066\pi\) | |||||||
\(348\) | −22.5031 | + | 4.85583i | −1.20629 | + | 0.260300i | ||||
\(349\) | −2.98415 | − | 8.19888i | −0.159738 | − | 0.438876i | 0.833843 | − | 0.552002i | \(-0.186136\pi\) |
−0.993581 | + | 0.113126i | \(0.963914\pi\) | |||||||
\(350\) | 16.3904 | + | 22.1651i | 0.876104 | + | 1.18477i | ||||
\(351\) | 28.5651 | − | 8.47796i | 1.52469 | − | 0.452520i | ||||
\(352\) | 37.7074 | 2.00981 | ||||||||
\(353\) | 8.54968 | − | 3.11183i | 0.455053 | − | 0.165626i | −0.104316 | − | 0.994544i | \(-0.533265\pi\) |
0.559370 | + | 0.828918i | \(0.311043\pi\) | |||||||
\(354\) | −4.69349 | + | 14.5982i | −0.249456 | + | 0.775888i | ||||
\(355\) | −1.76322 | − | 2.10132i | −0.0935818 | − | 0.111526i | ||||
\(356\) | −2.41834 | − | 13.7151i | −0.128172 | − | 0.726897i | ||||
\(357\) | −30.4885 | − | 11.9123i | −1.61362 | − | 0.630468i | ||||
\(358\) | 26.6386 | + | 22.3524i | 1.40789 | + | 1.18136i | ||||
\(359\) | −0.444525 | − | 0.256647i | −0.0234611 | − | 0.0135453i | 0.488224 | − | 0.872719i | \(-0.337645\pi\) |
−0.511685 | + | 0.859173i | \(0.670978\pi\) | |||||||
\(360\) | 1.40622 | + | 0.675146i | 0.0741145 | + | 0.0355833i | ||||
\(361\) | −9.39404 | − | 16.2710i | −0.494423 | − | 0.856366i | ||||
\(362\) | 6.84752 | − | 38.8342i | 0.359898 | − | 2.04108i | ||||
\(363\) | 20.1128 | − | 8.19841i | 1.05565 | − | 0.430305i | ||||
\(364\) | −11.2764 | − | 38.1131i | −0.591046 | − | 1.99767i | ||||
\(365\) | 1.01112 | − | 2.77804i | 0.0529246 | − | 0.145409i | ||||
\(366\) | −42.3451 | + | 17.2608i | −2.21342 | + | 0.902236i | ||||
\(367\) | −30.6284 | − | 5.40061i | −1.59879 | − | 0.281910i | −0.697977 | − | 0.716120i | \(-0.745916\pi\) |
−0.900812 | + | 0.434210i | \(0.857028\pi\) | |||||||
\(368\) | −1.14922 | + | 0.663505i | −0.0599075 | + | 0.0345876i | ||||
\(369\) | −1.26815 | + | 2.64136i | −0.0660174 | + | 0.137504i | ||||
\(370\) | −1.55994 | − | 0.900630i | −0.0810972 | − | 0.0468215i | ||||
\(371\) | 0.508685 | − | 8.27377i | 0.0264096 | − | 0.429553i | ||||
\(372\) | 12.7959 | − | 8.05080i | 0.663437 | − | 0.417415i | ||||
\(373\) | 4.53556 | + | 25.7224i | 0.234842 | + | 1.33186i | 0.842945 | + | 0.537999i | \(0.180820\pi\) |
−0.608103 | + | 0.793858i | \(0.708069\pi\) | |||||||
\(374\) | −57.0614 | + | 47.8802i | −2.95057 | + | 2.47583i | ||||
\(375\) | −6.33832 | − | 2.03783i | −0.327309 | − | 0.105233i | ||||
\(376\) | −1.68809 | − | 4.63799i | −0.0870565 | − | 0.239186i | ||||
\(377\) | −29.0930 | −1.49837 | ||||||||
\(378\) | 17.7778 | − | 23.6026i | 0.914394 | − | 1.21399i | ||||
\(379\) | −28.5024 | −1.46407 | −0.732035 | − | 0.681267i | \(-0.761429\pi\) | ||||
−0.732035 | + | 0.681267i | \(0.761429\pi\) | |||||||
\(380\) | −0.161005 | − | 0.442358i | −0.00825940 | − | 0.0226925i | ||||
\(381\) | −4.09549 | − | 18.9795i | −0.209818 | − | 0.972349i | ||||
\(382\) | 33.0842 | − | 27.7610i | 1.69274 | − | 1.42037i | ||||
\(383\) | 2.37420 | + | 13.4648i | 0.121316 | + | 0.688017i | 0.983428 | + | 0.181299i | \(0.0580303\pi\) |
−0.862112 | + | 0.506718i | \(0.830859\pi\) | |||||||
\(384\) | −0.667450 | − | 17.5591i | −0.0340607 | − | 0.896058i | ||||
\(385\) | −0.307481 | + | 5.00118i | −0.0156707 | + | 0.254884i | ||||
\(386\) | −40.0345 | − | 23.1139i | −2.03770 | − | 1.17647i | ||||
\(387\) | −19.3058 | − | 5.40709i | −0.981370 | − | 0.274858i | ||||
\(388\) | 24.8515 | − | 14.3480i | 1.26164 | − | 0.728410i | ||||
\(389\) | 24.7405 | + | 4.36241i | 1.25439 | + | 0.221183i | 0.761073 | − | 0.648666i | \(-0.224673\pi\) |
0.493318 | + | 0.869849i | \(0.335784\pi\) | |||||||
\(390\) | 6.58225 | + | 5.10997i | 0.333305 | + | 0.258754i | ||||
\(391\) | 1.36423 | − | 3.74820i | 0.0689922 | − | 0.189554i | ||||
\(392\) | −7.44341 | − | 5.61644i | −0.375949 | − | 0.283673i | ||||
\(393\) | 5.00797 | − | 36.4496i | 0.252619 | − | 1.83864i | ||||
\(394\) | −1.27929 | + | 7.25523i | −0.0644498 | + | 0.365513i | ||||
\(395\) | 0.170043 | + | 0.294523i | 0.00855578 | + | 0.0148190i | ||||
\(396\) | −15.7242 | − | 34.7385i | −0.790173 | − | 1.74567i | ||||
\(397\) | −6.75634 | − | 3.90078i | −0.339091 | − | 0.195774i | 0.320779 | − | 0.947154i | \(-0.396055\pi\) |
−0.659870 | + | 0.751380i | \(0.729389\pi\) | |||||||
\(398\) | 17.7325 | + | 14.8794i | 0.888851 | + | 0.745834i | ||||
\(399\) | −2.08553 | + | 0.317591i | −0.104407 | + | 0.0158994i | ||||
\(400\) | 2.00039 | + | 11.3448i | 0.100020 | + | 0.567240i | ||||
\(401\) | 0.935778 | + | 1.11522i | 0.0467305 | + | 0.0556913i | 0.788903 | − | 0.614517i | \(-0.210649\pi\) |
−0.742173 | + | 0.670208i | \(0.766205\pi\) | |||||||
\(402\) | 16.7686 | + | 18.5082i | 0.836342 | + | 0.923105i | ||||
\(403\) | 17.9532 | − | 6.53442i | 0.894311 | − | 0.325503i | ||||
\(404\) | −36.2380 | −1.80291 | ||||||||
\(405\) | −0.0792456 | + | 3.51215i | −0.00393775 | + | 0.174520i | ||||
\(406\) | −23.1975 | + | 17.1539i | −1.15128 | + | 0.851333i | ||||
\(407\) | 3.56269 | + | 9.78840i | 0.176596 | + | 0.485193i | ||||
\(408\) | 11.0654 | + | 12.2133i | 0.547819 | + | 0.604650i | ||||
\(409\) | 6.16526 | + | 7.34748i | 0.304853 | + | 0.363309i | 0.896621 | − | 0.442799i | \(-0.146014\pi\) |
−0.591768 | + | 0.806108i | \(0.701570\pi\) | |||||||
\(410\) | −0.806959 | + | 0.142289i | −0.0398529 | + | 0.00702714i | ||||
\(411\) | −1.63731 | − | 0.864101i | −0.0807625 | − | 0.0426229i | ||||
\(412\) | −20.5672 | + | 24.5111i | −1.01328 | + | 1.20757i | ||||
\(413\) | 1.23023 | + | 10.8282i | 0.0605355 | + | 0.532819i | ||||
\(414\) | 2.92606 | + | 2.09843i | 0.143808 | + | 0.103132i | ||||
\(415\) | 1.40878 | + | 2.44008i | 0.0691543 | + | 0.119779i | ||||
\(416\) | 7.73895 | − | 43.8898i | 0.379433 | − | 2.15187i | ||||
\(417\) | 9.97074 | + | 1.36992i | 0.488269 | + | 0.0670855i | ||||
\(418\) | −1.64190 | + | 4.51109i | −0.0803081 | + | 0.220645i | ||||
\(419\) | 20.7203 | + | 7.54159i | 1.01225 | + | 0.368431i | 0.794298 | − | 0.607528i | \(-0.207839\pi\) |
0.217956 | + | 0.975959i | \(0.430061\pi\) | |||||||
\(420\) | 4.68483 | + | 0.109697i | 0.228596 | + | 0.00535264i | ||||
\(421\) | −4.79615 | + | 27.2003i | −0.233750 | + | 1.32566i | 0.611481 | + | 0.791259i | \(0.290574\pi\) |
−0.845230 | + | 0.534402i | \(0.820537\pi\) | |||||||
\(422\) | −0.555501 | + | 0.320719i | −0.0270414 | + | 0.0156123i | ||||
\(423\) | 7.94804 | − | 7.77073i | 0.386447 | − | 0.377826i | ||||
\(424\) | −2.08678 | + | 3.61442i | −0.101343 | + | 0.175532i | ||||
\(425\) | −26.5254 | − | 22.2574i | −1.28667 | − | 1.07964i | ||||
\(426\) | 26.1429 | − | 0.993734i | 1.26663 | − | 0.0481466i | ||||
\(427\) | −22.3778 | + | 23.5663i | −1.08294 | + | 1.14045i | ||||
\(428\) | −9.37988 | − | 11.1785i | −0.453394 | − | 0.540334i | ||||
\(429\) | −10.1645 | − | 47.1048i | −0.490747 | − | 2.27424i | ||||
\(430\) | −1.91765 | − | 5.26869i | −0.0924771 | − | 0.254079i | ||||
\(431\) | − | 13.9378i | − | 0.671358i | −0.941976 | − | 0.335679i | \(-0.891034\pi\) | ||
0.941976 | − | 0.335679i | \(-0.108966\pi\) | |||||||
\(432\) | 11.0477 | − | 5.51555i | 0.531534 | − | 0.265367i | ||||
\(433\) | 20.8489i | 1.00193i | 0.865467 | + | 0.500966i | \(0.167022\pi\) | ||||
−0.865467 | + | 0.500966i | \(0.832978\pi\) | |||||||
\(434\) | 10.4623 | − | 15.7959i | 0.502205 | − | 0.758225i | ||||
\(435\) | 1.04988 | − | 3.26546i | 0.0503379 | − | 0.156567i | ||||
\(436\) | 7.48965 | − | 6.28456i | 0.358689 | − | 0.300976i | ||||
\(437\) | −0.0446390 | − | 0.253160i | −0.00213537 | − | 0.0121103i | ||||
\(438\) | 15.0151 | + | 23.8650i | 0.717451 | + | 1.14031i | ||||
\(439\) | −2.39592 | + | 2.85534i | −0.114351 | + | 0.136278i | −0.820183 | − | 0.572101i | \(-0.806129\pi\) |
0.705833 | + | 0.708379i | \(0.250573\pi\) | |||||||
\(440\) | 1.26138 | − | 2.18478i | 0.0601340 | − | 0.104155i | ||||
\(441\) | 4.61059 | − | 20.4876i | 0.219552 | − | 0.975601i | ||||
\(442\) | 44.0193 | + | 76.2437i | 2.09378 | + | 3.62654i | ||||
\(443\) | 5.16917 | + | 0.911464i | 0.245595 | + | 0.0433050i | 0.295090 | − | 0.955469i | \(-0.404650\pi\) |
−0.0494956 | + | 0.998774i | \(0.515761\pi\) | |||||||
\(444\) | 9.02130 | − | 3.67727i | 0.428132 | − | 0.174516i | ||||
\(445\) | 1.94990 | + | 0.709706i | 0.0924342 | + | 0.0336433i | ||||
\(446\) | 5.78792 | + | 2.10663i | 0.274066 | + | 0.0997519i | ||||
\(447\) | −0.887407 | − | 2.17704i | −0.0419729 | − | 0.102970i | ||||
\(448\) | −14.1005 | − | 28.3037i | −0.666185 | − | 1.33722i | ||||
\(449\) | −22.4516 | + | 12.9624i | −1.05956 | + | 0.611735i | −0.925310 | − | 0.379212i | \(-0.876195\pi\) |
−0.134247 | + | 0.990948i | \(0.542862\pi\) | |||||||
\(450\) | 25.8056 | − | 17.6389i | 1.21649 | − | 0.831505i | ||||
\(451\) | 4.10375 | + | 2.36930i | 0.193238 | + | 0.111566i | ||||
\(452\) | 16.3543 | − | 19.4903i | 0.769242 | − | 0.916747i | ||||
\(453\) | 13.2246 | + | 21.0191i | 0.621346 | + | 0.987565i | ||||
\(454\) | −58.6368 | + | 10.3392i | −2.75196 | + | 0.485245i | ||||
\(455\) | 5.75804 | + | 1.38432i | 0.269941 | + | 0.0648979i | ||||
\(456\) | 1.01116 | + | 0.325098i | 0.0473518 | + | 0.0152241i | ||||
\(457\) | 19.4951 | − | 7.09562i | 0.911940 | − | 0.331919i | 0.156913 | − | 0.987612i | \(-0.449846\pi\) |
0.755027 | + | 0.655693i | \(0.227624\pi\) | |||||||
\(458\) | 50.6993 | 2.36902 | ||||||||
\(459\) | −14.7817 | + | 34.0453i | −0.689952 | + | 1.58910i | ||||
\(460\) | 0.571034i | 0.0266246i | ||||||||
\(461\) | −0.166492 | + | 0.0605983i | −0.00775433 | + | 0.00282234i | −0.345894 | − | 0.938273i | \(-0.612424\pi\) |
0.338140 | + | 0.941096i | \(0.390202\pi\) | |||||||
\(462\) | −35.8788 | − | 31.5662i | −1.66923 | − | 1.46859i | ||||
\(463\) | 22.1677 | − | 18.6009i | 1.03022 | − | 0.864457i | 0.0393425 | − | 0.999226i | \(-0.487474\pi\) |
0.990877 | + | 0.134769i | \(0.0430292\pi\) | |||||||
\(464\) | −11.8732 | + | 2.09357i | −0.551201 | + | 0.0971916i | ||||
\(465\) | 0.0855608 | + | 2.25091i | 0.00396779 | + | 0.104383i | ||||
\(466\) | 14.1642 | + | 11.8852i | 0.656146 | + | 0.550572i | ||||
\(467\) | 4.43621 | − | 7.68373i | 0.205283 | − | 0.355561i | −0.744940 | − | 0.667132i | \(-0.767522\pi\) |
0.950223 | + | 0.311571i | \(0.100855\pi\) | |||||||
\(468\) | −43.6612 | + | 11.1727i | −2.01824 | + | 0.516459i | ||||
\(469\) | 16.2749 | + | 7.08267i | 0.751504 | + | 0.327047i | ||||
\(470\) | 3.06135 | + | 0.539798i | 0.141209 | + | 0.0248990i | ||||
\(471\) | 2.08228 | − | 2.68222i | 0.0959463 | − | 0.123590i | ||||
\(472\) | 1.87662 | − | 5.15597i | 0.0863784 | − | 0.237323i | ||||
\(473\) | −11.0897 | + | 30.4686i | −0.509903 | + | 1.40095i | ||||
\(474\) | −3.21333 | − | 0.441494i | −0.147593 | − | 0.0202785i | ||||
\(475\) | −2.19769 | − | 0.387512i | −0.100837 | − | 0.0177803i | ||||
\(476\) | 45.3969 | + | 19.7563i | 2.08076 | + | 0.905527i | ||||
\(477\) | −9.35369 | − | 0.924766i | −0.428276 | − | 0.0423421i | ||||
\(478\) | −14.2507 | + | 24.6830i | −0.651813 | + | 1.12897i | ||||
\(479\) | −4.86205 | − | 4.07975i | −0.222153 | − | 0.186408i | 0.524918 | − | 0.851153i | \(-0.324096\pi\) |
−0.747071 | + | 0.664744i | \(0.768540\pi\) | |||||||
\(480\) | 4.64700 | + | 2.45249i | 0.212106 | + | 0.111940i | ||||
\(481\) | 12.1245 | − | 2.13787i | 0.552828 | − | 0.0974784i | ||||
\(482\) | 18.0019 | − | 15.1054i | 0.819966 | − | 0.688033i | ||||
\(483\) | 2.50902 | + | 0.503235i | 0.114164 | + | 0.0228980i | ||||
\(484\) | −30.8701 | + | 11.2358i | −1.40318 | + | 0.510717i | ||||
\(485\) | 4.27565i | 0.194147i | ||||||||
\(486\) | −25.9958 | − | 21.1381i | −1.17920 | − | 0.958843i | ||||
\(487\) | 5.19850 | 0.235566 | 0.117783 | − | 0.993039i | \(-0.462421\pi\) | ||||
0.117783 | + | 0.993039i | \(0.462421\pi\) | |||||||
\(488\) | 15.3756 | − | 5.59625i | 0.696019 | − | 0.253330i | ||||
\(489\) | 19.0285 | − | 17.2400i | 0.860500 | − | 0.779621i | ||||
\(490\) | 5.40745 | − | 2.29127i | 0.244284 | − | 0.103509i | ||||
\(491\) | −13.4965 | + | 2.37981i | −0.609091 | + | 0.107399i | −0.469682 | − | 0.882836i | \(-0.655631\pi\) |
−0.139409 | + | 0.990235i | \(0.544520\pi\) | |||||||
\(492\) | 2.06847 | − | 3.91937i | 0.0932539 | − | 0.176699i | ||||
\(493\) | 23.2942 | − | 27.7609i | 1.04912 | − | 1.25029i | ||||
\(494\) | 4.91373 | + | 2.83694i | 0.221079 | + | 0.127640i | ||||
\(495\) | 5.65395 | + | 0.558986i | 0.254126 | + | 0.0251245i | ||||
\(496\) | 6.85670 | − | 3.95872i | 0.307875 | − | 0.177752i | ||||
\(497\) | 16.6420 | − | 8.29079i | 0.746496 | − | 0.371893i | ||||
\(498\) | −26.6220 | − | 3.65772i | −1.19296 | − | 0.163906i | ||||
\(499\) | −32.4000 | − | 11.7926i | −1.45042 | − | 0.527911i | −0.507714 | − | 0.861526i | \(-0.669509\pi\) |
−0.942709 | + | 0.333615i | \(0.891732\pi\) | |||||||
\(500\) | 9.46283 | + | 3.44419i | 0.423191 | + | 0.154029i | ||||
\(501\) | 5.17510 | + | 4.01757i | 0.231206 | + | 0.179492i | ||||
\(502\) | 21.7156 | + | 3.82904i | 0.969213 | + | 0.170898i | ||||
\(503\) | −19.0162 | − | 32.9370i | −0.847891 | − | 1.46859i | −0.883087 | − | 0.469209i | \(-0.844539\pi\) |
0.0351966 | − | 0.999380i | \(-0.488794\pi\) | |||||||
\(504\) | −6.67745 | + | 8.19774i | −0.297437 | + | 0.365156i | ||||
\(505\) | 2.69969 | − | 4.67601i | 0.120135 | − | 0.208080i | ||||
\(506\) | 3.74315 | − | 4.46092i | 0.166403 | − | 0.198312i | ||||
\(507\) | −34.4136 | + | 1.30812i | −1.52836 | + | 0.0580955i | ||||
\(508\) | 5.09963 | + | 28.9214i | 0.226259 | + | 1.28318i | ||||
\(509\) | 2.43971 | − | 2.04716i | 0.108138 | − | 0.0907387i | −0.587115 | − | 0.809503i | \(-0.699737\pi\) |
0.695254 | + | 0.718765i | \(0.255292\pi\) | |||||||
\(510\) | −10.1463 | + | 2.18941i | −0.449285 | + | 0.0969489i | ||||
\(511\) | 16.7061 | + | 11.0652i | 0.739034 | + | 0.489494i | ||||
\(512\) | − | 24.8000i | − | 1.09601i | ||||||
\(513\) | 0.272054 | + | 2.37651i | 0.0120115 | + | 0.104926i | ||||
\(514\) | − | 2.90852i | − | 0.128289i | ||||||
\(515\) | −1.63057 | − | 4.47996i | −0.0718516 | − | 0.197411i | ||||
\(516\) | 28.8687 | + | 9.28159i | 1.27087 | + | 0.408599i | ||||
\(517\) | −11.5552 | − | 13.7710i | −0.508198 | − | 0.605647i | ||||
\(518\) | 8.40700 | − | 8.85350i | 0.369383 | − | 0.389000i | ||||
\(519\) | 14.1903 | + | 22.5540i | 0.622885 | + | 0.990011i | ||||
\(520\) | −2.28410 | − | 1.91659i | −0.100164 | − | 0.0840479i | ||||
\(521\) | −13.0875 | + | 22.6683i | −0.573375 | + | 0.993115i | 0.422841 | + | 0.906204i | \(0.361033\pi\) |
−0.996216 | + | 0.0869113i | \(0.972300\pi\) | |||||||
\(522\) | 18.4605 | + | 27.0077i | 0.807995 | + | 1.18209i | ||||
\(523\) | −14.0356 | + | 8.10349i | −0.613736 | + | 0.354341i | −0.774426 | − | 0.632664i | \(-0.781961\pi\) |
0.160690 | + | 0.987005i | \(0.448628\pi\) | |||||||
\(524\) | −9.66329 | + | 54.8032i | −0.422143 | + | 2.39409i | ||||
\(525\) | 11.5546 | − | 18.9732i | 0.504286 | − | 0.828057i | ||||
\(526\) | 14.3913 | + | 5.23801i | 0.627492 | + | 0.228388i | ||||
\(527\) | −8.13951 | + | 22.3631i | −0.354563 | + | 0.974153i | ||||
\(528\) | −7.53799 | − | 18.4926i | −0.328049 | − | 0.804789i | ||||
\(529\) | 3.93976 | − | 22.3435i | 0.171294 | − | 0.971456i | ||||
\(530\) | −1.31430 | − | 2.27644i | −0.0570897 | − | 0.0988822i | ||||
\(531\) | 12.3213 | − | 0.938063i | 0.534699 | − | 0.0407084i | ||||
\(532\) | 3.17038 | − | 0.360198i | 0.137453 | − | 0.0156166i | ||||
\(533\) | 3.60000 | − | 4.29031i | 0.155933 | − | 0.185834i | ||||
\(534\) | −16.7508 | + | 10.5391i | −0.724878 | + | 0.456071i | ||||
\(535\) | 2.14122 | − | 0.377555i | 0.0925731 | − | 0.0163231i | ||||
\(536\) | −5.74424 | − | 6.84572i | −0.248113 | − | 0.295690i | ||||
\(537\) | 8.57715 | − | 26.6777i | 0.370131 | − | 1.15123i | ||||
\(538\) | 4.92065 | + | 13.5194i | 0.212144 | + | 0.582862i | ||||
\(539\) | −32.4722 | − | 9.95031i | −1.39867 | − | 0.428590i | ||||
\(540\) | 0.321554 | − | 5.30382i | 0.0138375 | − | 0.228240i | ||||
\(541\) | 9.50292 | 0.408562 | 0.204281 | − | 0.978912i | \(-0.434514\pi\) | ||||
0.204281 | + | 0.978912i | \(0.434514\pi\) | |||||||
\(542\) | 30.3049 | − | 11.0301i | 1.30171 | − | 0.473783i | ||||
\(543\) | −31.0622 | + | 6.70274i | −1.33300 | + | 0.287642i | ||||
\(544\) | 35.6838 | + | 42.5263i | 1.52993 | + | 1.82330i | ||||
\(545\) | 0.252964 | + | 1.43463i | 0.0108358 | + | 0.0614527i | ||||
\(546\) | −44.1053 | + | 35.2827i | −1.88753 | + | 1.50996i | ||||
\(547\) | −7.11504 | − | 5.97023i | −0.304217 | − | 0.255269i | 0.477880 | − | 0.878425i | \(-0.341405\pi\) |
−0.782097 | + | 0.623157i | \(0.785850\pi\) | |||||||
\(548\) | 2.42503 | + | 1.40009i | 0.103592 | + | 0.0598090i | ||||
\(549\) | 25.7610 | + | 26.3488i | 1.09945 | + | 1.12454i | ||||
\(550\) | −25.2762 | − | 43.7796i | −1.07778 | − | 1.86677i | ||||
\(551\) | 0.405563 | − | 2.30006i | 0.0172775 | − | 0.0979858i | ||||
\(552\) | −1.01772 | − | 0.790085i | −0.0433172 | − | 0.0336283i | ||||
\(553\) | −2.21041 | + | 0.653990i | −0.0939963 | + | 0.0278105i | ||||
\(554\) | 18.9307 | − | 52.0117i | 0.804289 | − | 2.20977i | ||||
\(555\) | −0.197577 | + | 1.43802i | −0.00838666 | + | 0.0610407i | ||||
\(556\) | −14.9913 | − | 2.64338i | −0.635775 | − | 0.112104i | ||||
\(557\) | 10.3816 | − | 5.99382i | 0.439882 | − | 0.253966i | −0.263665 | − | 0.964614i | \(-0.584931\pi\) |
0.703548 | + | 0.710648i | \(0.251598\pi\) | |||||||
\(558\) | −17.4580 | − | 12.5200i | −0.739054 | − | 0.530014i | ||||
\(559\) | 33.1881 | + | 19.1611i | 1.40371 | + | 0.810430i | ||||
\(560\) | 2.44955 | + | 0.150602i | 0.103512 | + | 0.00636412i | ||||
\(561\) | 53.0865 | + | 28.0168i | 2.24131 | + | 1.18287i | ||||
\(562\) | −3.01419 | − | 17.0943i | −0.127146 | − | 0.721080i | ||||
\(563\) | −0.0744631 | + | 0.0624819i | −0.00313824 | + | 0.00263330i | −0.644355 | − | 0.764726i | \(-0.722874\pi\) |
0.641217 | + | 0.767359i | \(0.278430\pi\) | |||||||
\(564\) | −12.4593 | + | 11.2883i | −0.524633 | + | 0.475322i | ||||
\(565\) | 1.29657 | + | 3.56230i | 0.0545472 | + | 0.149867i | ||||
\(566\) | −13.5640 | −0.570138 | ||||||||
\(567\) | −23.0206 | − | 6.08694i | −0.966775 | − | 0.255628i | ||||
\(568\) | −9.36117 | −0.392786 | ||||||||
\(569\) | 6.26646 | + | 17.2169i | 0.262704 | + | 0.721772i | 0.998983 | + | 0.0450941i | \(0.0143588\pi\) |
−0.736279 | + | 0.676678i | \(0.763419\pi\) | |||||||
\(570\) | −0.495747 | + | 0.449151i | −0.0207645 | + | 0.0188129i | ||||
\(571\) | 11.0847 | − | 9.30116i | 0.463880 | − | 0.389241i | −0.380676 | − | 0.924708i | \(-0.624309\pi\) |
0.844556 | + | 0.535467i | \(0.179864\pi\) | |||||||
\(572\) | 12.6567 | + | 71.7795i | 0.529201 | + | 3.00125i | ||||
\(573\) | −30.7796 | − | 16.2441i | −1.28584 | − | 0.678608i | ||||
\(574\) | 0.340827 | − | 5.54355i | 0.0142258 | − | 0.231383i | ||||
\(575\) | 2.34434 | + | 1.35350i | 0.0977655 | + | 0.0564450i | ||||
\(576\) | −32.6650 | + | 14.7857i | −1.36104 | + | 0.616070i | ||||
\(577\) | −21.6982 | + | 12.5275i | −0.903309 | + | 0.521526i | −0.878272 | − | 0.478161i | \(-0.841304\pi\) |
−0.0250367 | + | 0.999687i | \(0.507970\pi\) | |||||||
\(578\) | −72.0140 | − | 12.6980i | −2.99539 | − | 0.528168i | ||||
\(579\) | −5.07064 | + | 36.9057i | −0.210729 | + | 1.53375i | ||||
\(580\) | −1.77442 | + | 4.87519i | −0.0736790 | + | 0.202431i | ||||
\(581\) | −18.3129 | + | 5.41821i | −0.759749 | + | 0.224785i | ||||
\(582\) | −32.2112 | − | 25.0064i | −1.33520 | − | 1.03655i | ||||
\(583\) | −2.63964 | + | 14.9702i | −0.109323 | + | 0.620001i | ||||
\(584\) | −5.04446 | − | 8.73726i | −0.208741 | − | 0.361550i | ||||
\(585\) | 1.81103 | − | 6.46622i | 0.0748770 | − | 0.267345i | ||||
\(586\) | −15.2005 | − | 8.77601i | −0.627927 | − | 0.362534i | ||||
\(587\) | 21.3062 | + | 17.8781i | 0.879402 | + | 0.737906i | 0.966056 | − | 0.258332i | \(-0.0831729\pi\) |
−0.0866537 | + | 0.996238i | \(0.527617\pi\) | |||||||
\(588\) | −8.14562 | + | 30.7007i | −0.335920 | + | 1.26607i | ||||
\(589\) | 0.266333 | + | 1.51045i | 0.0109741 | + | 0.0622369i | ||||
\(590\) | 2.22131 | + | 2.64726i | 0.0914500 | + | 0.108986i | ||||
\(591\) | 5.80320 | − | 1.25224i | 0.238712 | − | 0.0515104i | ||||
\(592\) | 4.79431 | − | 1.74498i | 0.197045 | − | 0.0717184i | ||||
\(593\) | 43.7366 | 1.79605 | 0.898023 | − | 0.439949i | \(-0.145004\pi\) | ||||
0.898023 | + | 0.439949i | \(0.145004\pi\) | |||||||
\(594\) | −37.2787 | + | 39.3256i | −1.52956 | + | 1.61355i | ||||
\(595\) | −5.93129 | + | 4.38600i | −0.243159 | + | 0.179809i | ||||
\(596\) | 1.21618 | + | 3.34142i | 0.0498165 | + | 0.136870i | ||||
\(597\) | 5.70955 | − | 17.7585i | 0.233676 | − | 0.726808i | ||||
\(598\) | −4.42407 | − | 5.27240i | −0.180914 | − | 0.215605i | ||||
\(599\) | 9.06627 | − | 1.59863i | 0.370438 | − | 0.0653181i | 0.0146695 | − | 0.999892i | \(-0.495330\pi\) |
0.355768 | + | 0.934574i | \(0.384219\pi\) | |||||||
\(600\) | −9.46682 | + | 5.95624i | −0.386481 | + | 0.243162i | ||||
\(601\) | 25.8812 | − | 30.8440i | 1.05571 | − | 1.25815i | 0.0907219 | − | 0.995876i | \(-0.471083\pi\) |
0.964993 | − | 0.262276i | \(-0.0844730\pi\) | |||||||
\(602\) | 37.7606 | − | 4.29012i | 1.53901 | − | 0.174852i | ||||
\(603\) | 8.71072 | − | 18.1430i | 0.354728 | − | 0.738842i | ||||
\(604\) | −18.7804 | − | 32.5287i | −0.764166 | − | 1.32357i | ||||
\(605\) | 0.849967 | − | 4.82040i | 0.0345561 | − | 0.195977i | ||||
\(606\) | 19.4380 | + | 47.6865i | 0.789616 | + | 1.93713i | ||||
\(607\) | −0.602537 | + | 1.65546i | −0.0244562 | + | 0.0671930i | −0.951320 | − | 0.308205i | \(-0.900272\pi\) |
0.926864 | + | 0.375398i | \(0.122494\pi\) | |||||||
\(608\) | 3.36199 | + | 1.22367i | 0.136347 | + | 0.0496262i | ||||
\(609\) | 19.8570 | + | 12.0929i | 0.804644 | + | 0.490027i | ||||
\(610\) | −1.78951 | + | 10.1488i | −0.0724550 | + | 0.410913i | ||||
\(611\) | −18.4004 | + | 10.6235i | −0.744399 | + | 0.429779i | ||||
\(612\) | 24.2975 | − | 50.6079i | 0.982168 | − | 2.04570i | ||||
\(613\) | −11.2627 | + | 19.5075i | −0.454895 | + | 0.787901i | −0.998682 | − | 0.0513222i | \(-0.983656\pi\) |
0.543787 | + | 0.839223i | \(0.316990\pi\) | |||||||
\(614\) | 38.0900 | + | 31.9613i | 1.53719 | + | 1.28985i | ||||
\(615\) | 0.351640 | + | 0.558896i | 0.0141795 | + | 0.0225369i | ||||
\(616\) | 12.3998 | + | 11.7745i | 0.499603 | + | 0.474407i | ||||
\(617\) | 12.7802 | + | 15.2309i | 0.514513 | + | 0.613173i | 0.959274 | − | 0.282476i | \(-0.0911558\pi\) |
−0.444761 | + | 0.895649i | \(0.646711\pi\) | |||||||
\(618\) | 43.2869 | + | 13.9172i | 1.74126 | + | 0.559832i | ||||
\(619\) | −1.43450 | − | 3.94126i | −0.0576575 | − | 0.158413i | 0.907520 | − | 0.420009i | \(-0.137973\pi\) |
−0.965177 | + | 0.261597i | \(0.915751\pi\) | |||||||
\(620\) | − | 3.40700i | − | 0.136829i | ||||||
\(621\) | 0.675864 | − | 2.82181i | 0.0271215 | − | 0.113235i | ||||
\(622\) | − | 50.6698i | − | 2.03167i | ||||||
\(623\) | −7.76662 | + | 11.7260i | −0.311163 | + | 0.469792i | ||||
\(624\) | −23.0717 | + | 4.97852i | −0.923606 | + | 0.199300i | ||||
\(625\) | 17.4181 | − | 14.6155i | 0.696725 | − | 0.584622i | ||||
\(626\) | −4.46253 | − | 25.3083i | −0.178359 | − | 1.01152i | ||||
\(627\) | 3.86575 | − | 0.146943i | 0.154383 | − | 0.00586836i | ||||
\(628\) | −3.30131 | + | 3.93435i | −0.131737 | + | 0.156998i | ||||
\(629\) | −7.66783 | + | 13.2811i | −0.305736 | + | 0.529551i | ||||
\(630\) | −2.36858 | − | 6.22372i | −0.0943666 | − | 0.247959i | ||||
\(631\) | 7.09781 | + | 12.2938i | 0.282559 | + | 0.489407i | 0.972014 | − | 0.234921i | \(-0.0754833\pi\) |
−0.689455 | + | 0.724328i | \(0.742150\pi\) | |||||||
\(632\) | 1.14296 | + | 0.201535i | 0.0454645 | + | 0.00801663i | ||||
\(633\) | 0.408302 | + | 0.316976i | 0.0162285 | + | 0.0125986i | ||||
\(634\) | −56.8853 | − | 20.7046i | −2.25920 | − | 0.822283i | ||||
\(635\) | −4.11182 | − | 1.49658i | −0.163173 | − | 0.0593900i | ||||
\(636\) | 14.0843 | + | 1.93510i | 0.558479 | + | 0.0767319i | ||||
\(637\) | −18.2462 | + | 35.7540i | −0.722940 | + | 1.41662i | ||||
\(638\) | 45.8188 | − | 26.4535i | 1.81399 | − | 1.04730i | ||||
\(639\) | −8.69367 | − | 19.2063i | −0.343916 | − | 0.759790i | ||||
\(640\) | −3.42947 | − | 1.98001i | −0.135562 | − | 0.0782666i | ||||
\(641\) | 16.7592 | − | 19.9729i | 0.661949 | − | 0.788881i | −0.325715 | − | 0.945468i | \(-0.605605\pi\) |
0.987664 | + | 0.156588i | \(0.0500493\pi\) | |||||||
\(642\) | −9.67871 | + | 18.3393i | −0.381988 | + | 0.723796i | ||||
\(643\) | −35.5086 | + | 6.26113i | −1.40032 | + | 0.246915i | −0.822277 | − | 0.569088i | \(-0.807296\pi\) |
−0.578048 | + | 0.816003i | \(0.696185\pi\) | |||||||
\(644\) | −3.76329 | − | 0.904752i | −0.148295 | − | 0.0356522i | ||||
\(645\) | −3.34835 | + | 3.03363i | −0.131841 | + | 0.119449i | ||||
\(646\) | −6.64138 | + | 2.41726i | −0.261301 | + | 0.0951059i | ||||
\(647\) | −14.1360 | −0.555744 | −0.277872 | − | 0.960618i | \(-0.589629\pi\) | ||||
−0.277872 | + | 0.960618i | \(0.589629\pi\) | |||||||
\(648\) | 9.00779 | + | 7.91147i | 0.353860 | + | 0.310792i | ||||
\(649\) | − | 19.9844i | − | 0.784458i | ||||||
\(650\) | −56.1451 | + | 20.4351i | −2.20219 | + | 0.801532i | ||||
\(651\) | −14.9698 | − | 3.00249i | −0.586711 | − | 0.117677i | ||||
\(652\) | −29.7507 | + | 24.9638i | −1.16513 | + | 0.977659i | ||||
\(653\) | 33.8858 | − | 5.97498i | 1.32605 | − | 0.233819i | 0.534629 | − | 0.845087i | \(-0.320451\pi\) |
0.791424 | + | 0.611268i | \(0.209340\pi\) | |||||||
\(654\) | −12.2874 | − | 6.48478i | −0.480477 | − | 0.253575i | ||||
\(655\) | −6.35168 | − | 5.32969i | −0.248181 | − | 0.208248i | ||||
\(656\) | 1.16047 | − | 2.00999i | 0.0453087 | − | 0.0784770i | ||||
\(657\) | 13.2415 | − | 18.4640i | 0.516599 | − | 0.720348i | ||||
\(658\) | −8.40786 | + | 19.3200i | −0.327773 | + | 0.753171i | ||||
\(659\) | −38.1009 | − | 6.71821i | −1.48420 | − | 0.261704i | −0.627944 | − | 0.778258i | \(-0.716104\pi\) |
−0.856255 | + | 0.516554i | \(0.827215\pi\) | |||||||
\(660\) | −8.51342 | − | 1.16970i | −0.331385 | − | 0.0455304i | ||||
\(661\) | 10.2109 | − | 28.0542i | 0.397158 | − | 1.09118i | −0.566504 | − | 0.824059i | \(-0.691704\pi\) |
0.963662 | − | 0.267124i | \(-0.0860733\pi\) | |||||||
\(662\) | 11.0904 | − | 30.4707i | 0.431042 | − | 1.18428i | ||||
\(663\) | 43.5055 | − | 56.0403i | 1.68962 | − | 2.17642i | ||||
\(664\) | 9.46927 | + | 1.66969i | 0.367479 | + | 0.0647964i | ||||
\(665\) | −0.189711 | + | 0.435927i | −0.00735668 | + | 0.0169045i | ||||
\(666\) | −9.67802 | − | 9.89885i | −0.375016 | − | 0.383573i | ||||
\(667\) | −1.41655 | + | 2.45353i | −0.0548490 | + | 0.0950013i | ||||
\(668\) | −7.59097 | − | 6.36958i | −0.293703 | − | 0.246446i | ||||
\(669\) | −0.188535 | − | 4.95992i | −0.00728917 | − | 0.191761i | ||||
\(670\) | 5.54286 | − | 0.977356i | 0.214139 | − | 0.0377586i | ||||
\(671\) | 45.6527 | − | 38.3072i | 1.76240 | − | 1.47883i | ||||
\(672\) | −23.5254 | + | 26.7395i | −0.907512 | + | 1.03150i | ||||
\(673\) | 20.3275 | − | 7.39859i | 0.783566 | − | 0.285195i | 0.0809075 | − | 0.996722i | \(-0.474218\pi\) |
0.702659 | + | 0.711527i | \(0.251996\pi\) | |||||||
\(674\) | − | 35.0552i | − | 1.35028i | ||||||
\(675\) | −21.0122 | − | 13.8916i | −0.808760 | − | 0.534686i | ||||
\(676\) | 52.0888 | 2.00342 | ||||||||
\(677\) | −7.25316 | + | 2.63993i | −0.278761 | + | 0.101461i | −0.477618 | − | 0.878568i | \(-0.658500\pi\) |
0.198856 | + | 0.980029i | \(0.436277\pi\) | |||||||
\(678\) | −34.4202 | − | 11.0664i | −1.32190 | − | 0.425004i | ||||
\(679\) | −28.1778 | − | 6.77437i | −1.08137 | − | 0.259976i | ||||
\(680\) | 3.65767 | − | 0.644945i | 0.140265 | − | 0.0247325i | ||||
\(681\) | 25.5516 | + | 40.6116i | 0.979138 | + | 1.55624i | ||||
\(682\) | −22.3330 | + | 26.6155i | −0.855176 | + | 1.01916i | ||||
\(683\) | 7.78254 | + | 4.49325i | 0.297791 | + | 0.171930i | 0.641450 | − | 0.767165i | \(-0.278333\pi\) |
−0.343659 | + | 0.939094i | \(0.611667\pi\) | |||||||
\(684\) | −0.274655 | − | 3.60755i | −0.0105017 | − | 0.137938i | ||||
\(685\) | −0.361325 | + | 0.208611i | −0.0138055 | + | 0.00797061i | ||||
\(686\) | 6.53257 | + | 39.2671i | 0.249415 | + | 1.49922i | ||||
\(687\) | −15.4217 | − | 37.8333i | −0.588374 | − | 1.44343i | ||||
\(688\) | 14.9234 | + | 5.43166i | 0.568947 | + | 0.207080i | ||||
\(689\) | 16.8828 | + | 6.14485i | 0.643185 | + | 0.234100i | ||||
\(690\) | 0.751438 | − | 0.306302i | 0.0286067 | − | 0.0116607i | ||||
\(691\) | 34.0362 | + | 6.00150i | 1.29480 | + | 0.228308i | 0.778253 | − | 0.627951i | \(-0.216106\pi\) |
0.516546 | + | 0.856259i | \(0.327217\pi\) | |||||||
\(692\) | −20.1518 | − | 34.9040i | −0.766058 | − | 1.32685i | ||||
\(693\) | −12.6421 | + | 36.3756i | −0.480232 | + | 1.38180i | ||||
\(694\) | 39.0970 | − | 67.7179i | 1.48410 | − | 2.57054i | ||||
\(695\) | 1.45793 | − | 1.73749i | 0.0553025 | − | 0.0659069i | ||||
\(696\) | −6.23368 | − | 9.90779i | −0.236287 | − | 0.375554i | ||||
\(697\) | 1.21142 | + | 6.87033i | 0.0458860 | + | 0.260232i | ||||
\(698\) | 14.3659 | − | 12.0544i | 0.543757 | − | 0.456266i | ||||
\(699\) | 4.56063 | − | 14.1850i | 0.172499 | − | 0.536527i | ||||
\(700\) | −18.5540 | + | 28.0128i | −0.701277 | + | 1.05878i | ||||
\(701\) | 23.2192i | 0.876977i | 0.898737 | + | 0.438488i | \(0.144486\pi\) | ||||
−0.898737 | + | 0.438488i | \(0.855514\pi\) | |||||||
\(702\) | 38.1222 | + | 51.4618i | 1.43883 | + | 1.94230i | ||||
\(703\) | 0.988348i | 0.0372763i | ||||||||
\(704\) | 19.8329 | + | 54.4906i | 0.747482 | + | 2.05369i | ||||
\(705\) | −0.528385 | − | 2.44867i | −0.0199001 | − | 0.0922221i | ||||
\(706\) | 12.5702 | + | 14.9805i | 0.473085 | + | 0.563800i | ||||
\(707\) | 26.5389 | + | 25.2005i | 0.998099 | + | 0.947763i | ||||
\(708\) | −18.6767 | + | 0.709931i | −0.701912 | + | 0.0266809i | ||||
\(709\) | 27.0985 | + | 22.7383i | 1.01770 | + | 0.853955i | 0.989337 | − | 0.145643i | \(-0.0465250\pi\) |
0.0283665 | + | 0.999598i | \(0.490969\pi\) | |||||||
\(710\) | 2.94793 | − | 5.10597i | 0.110634 | − | 0.191624i | ||||
\(711\) | 0.647973 | + | 2.53218i | 0.0243009 | + | 0.0949641i | ||||
\(712\) | 6.13267 | − | 3.54070i | 0.229831 | − | 0.132693i | ||||
\(713\) | 0.323071 | − | 1.83223i | 0.0120991 | − | 0.0686175i | ||||
\(714\) | 1.64694 | − | 70.3360i | 0.0616351 | − | 2.63226i | ||||
\(715\) | −10.2050 | − | 3.71433i | −0.381647 | − | 0.138908i | ||||
\(716\) | −14.4964 | + | 39.8286i | −0.541757 | + | 1.48847i | ||||
\(717\) | 22.7540 | + | 3.12627i | 0.849762 | + | 0.116753i | ||||
\(718\) | 0.191578 | − | 1.08649i | 0.00714963 | − | 0.0405476i | ||||
\(719\) | 16.5681 | + | 28.6967i | 0.617884 | + | 1.07021i | 0.989871 | + | 0.141969i | \(0.0453433\pi\) |
−0.371987 | + | 0.928238i | \(0.621323\pi\) | |||||||
\(720\) | 0.273788 | − | 2.76927i | 0.0102035 | − | 0.103205i | ||||
\(721\) | 32.1078 | − | 3.64789i | 1.19576 | − | 0.135854i | ||||
\(722\) | 25.9573 | − | 30.9347i | 0.966031 | − | 1.15127i | ||||
\(723\) | −16.7479 | − | 8.83883i | −0.622862 | − | 0.328720i | ||||
\(724\) | 47.3333 | − | 8.34614i | 1.75913 | − | 0.310182i | ||||
\(725\) | 15.8088 | + | 18.8402i | 0.587126 | + | 0.699709i | ||||
\(726\) | 31.3441 | + | 34.5958i | 1.16329 | + | 1.28397i | ||||
\(727\) | 2.36915 | + | 6.50919i | 0.0878670 | + | 0.241413i | 0.975841 | − | 0.218480i | \(-0.0701100\pi\) |
−0.887974 | + | 0.459893i | \(0.847888\pi\) | |||||||
\(728\) | 16.2499 | − | 12.0163i | 0.602260 | − | 0.445353i | ||||
\(729\) | −7.86647 | + | 25.8286i | −0.291351 | + | 0.956616i | ||||
\(730\) | 6.35422 | 0.235180 | ||||||||
\(731\) | −44.8568 | + | 16.3266i | −1.65909 | + | 0.603859i | ||||
\(732\) | −37.4222 | − | 41.3044i | −1.38316 | − | 1.52665i | ||||
\(733\) | 18.5983 | + | 22.1646i | 0.686943 | + | 0.818666i | 0.990982 | − | 0.133993i | \(-0.0427800\pi\) |
−0.304040 | + | 0.952659i | \(0.598336\pi\) | |||||||
\(734\) | −11.6079 | − | 65.8315i | −0.428454 | − | 2.42989i | ||||
\(735\) | −3.35465 | − | 3.33824i | −0.123738 | − | 0.123133i | ||||
\(736\) | −3.32460 | − | 2.78967i | −0.122546 | − | 0.102828i | ||||
\(737\) | −28.1879 | − | 16.2743i | −1.03832 | − | 0.599472i | ||||
\(738\) | −6.26711 | − | 0.619607i | −0.230696 | − | 0.0228080i | ||||
\(739\) | 8.46122 | + | 14.6553i | 0.311251 | + | 0.539103i | 0.978633 | − | 0.205613i | \(-0.0659187\pi\) |
−0.667382 | + | 0.744715i | \(0.732585\pi\) | |||||||
\(740\) | 0.381240 | − | 2.16212i | 0.0140147 | − | 0.0794811i | ||||
\(741\) | 0.622357 | − | 4.52971i | 0.0228629 | − | 0.166403i | ||||
\(742\) | 17.0848 | − | 5.05485i | 0.627204 | − | 0.185569i | ||||
\(743\) | −4.26829 | + | 11.7270i | −0.156588 | + | 0.430223i | −0.993034 | − | 0.117827i | \(-0.962407\pi\) |
0.836446 | + | 0.548049i | \(0.184629\pi\) | |||||||
\(744\) | 6.07211 | + | 4.71394i | 0.222614 | + | 0.172821i | ||||
\(745\) | −0.521767 | − | 0.0920016i | −0.0191161 | − | 0.00337068i | ||||
\(746\) | −48.6184 | + | 28.0699i | −1.78005 | + | 1.02771i | ||||
\(747\) | 5.36837 | + | 20.9787i | 0.196418 | + | 0.767572i | ||||
\(748\) | −78.6268 | − | 45.3952i | −2.87488 | − | 1.65981i | ||||
\(749\) | −0.904365 | + | 14.7095i | −0.0330448 | + | 0.537474i | ||||
\(750\) | −0.543560 | − | 14.2998i | −0.0198480 | − | 0.522155i | ||||
\(751\) | −2.59871 | − | 14.7380i | −0.0948283 | − | 0.537798i | −0.994800 | − | 0.101849i | \(-0.967524\pi\) |
0.899972 | − | 0.435949i | \(-0.143587\pi\) | |||||||
\(752\) | −6.74495 | + | 5.65969i | −0.245963 | + | 0.206388i | ||||
\(753\) | −3.74808 | − | 17.3695i | −0.136588 | − | 0.632981i | ||||
\(754\) | −21.3870 | − | 58.7603i | −0.778869 | − | 2.13992i | ||||
\(755\) | 5.59649 | 0.203677 | ||||||||
\(756\) | 34.4443 | + | 10.5226i | 1.25273 | + | 0.382701i | ||||
\(757\) | −48.2688 | −1.75436 | −0.877180 | − | 0.480162i | \(-0.840578\pi\) | ||||
−0.877180 | + | 0.480162i | \(0.840578\pi\) | |||||||
\(758\) | −20.9528 | − | 57.5674i | −0.761041 | − | 2.09094i | ||||
\(759\) | −4.46746 | − | 1.43633i | −0.162158 | − | 0.0521356i | ||||
\(760\) | 0.183364 | − | 0.153861i | 0.00665132 | − | 0.00558112i | ||||
\(761\) | −7.10296 | − | 40.2829i | −0.257482 | − | 1.46025i | −0.789620 | − | 0.613596i | \(-0.789722\pi\) |
0.532138 | − | 0.846657i | \(-0.321389\pi\) | |||||||
\(762\) | 35.3229 | − | 22.2241i | 1.27962 | − | 0.805095i | ||||
\(763\) | −9.85543 | − | 0.605928i | −0.356791 | − | 0.0219361i | ||||
\(764\) | 45.5879 | + | 26.3202i | 1.64931 | + | 0.952231i | ||||
\(765\) | 4.72009 | + | 6.90548i | 0.170655 | + | 0.249668i | ||||
\(766\) | −25.4500 | + | 14.6936i | −0.919545 | + | 0.530900i | ||||
\(767\) | −23.2610 | − | 4.10154i | −0.839905 | − | 0.148098i | ||||
\(768\) | −3.36539 | + | 1.37181i | −0.121438 | + | 0.0495008i | ||||
\(769\) | −7.22183 | + | 19.8418i | −0.260426 | + | 0.715514i | 0.738713 | + | 0.674020i | \(0.235434\pi\) |
−0.999139 | + | 0.0414940i | \(0.986788\pi\) | |||||||
\(770\) | −10.3271 | + | 3.05546i | −0.372164 | + | 0.110111i | ||||
\(771\) | −2.17043 | + | 0.884712i | −0.0781660 | + | 0.0318621i | ||||
\(772\) | 9.78421 | − | 55.4890i | 0.352141 | − | 1.99709i | ||||
\(773\) | −0.539761 | − | 0.934893i | −0.0194138 | − | 0.0336258i | 0.856155 | − | 0.516719i | \(-0.172847\pi\) |
−0.875569 | + | 0.483093i | \(0.839513\pi\) | |||||||
\(774\) | −3.27127 | − | 42.9676i | −0.117583 | − | 1.54444i | ||||
\(775\) | −13.9872 | − | 8.07550i | −0.502434 | − | 0.290080i | ||||
\(776\) | 11.1776 | + | 9.37910i | 0.401252 | + | 0.336690i | ||||
\(777\) | −9.16398 | − | 3.58051i | −0.328756 | − | 0.128450i | ||||
\(778\) | 9.37640 | + | 53.1762i | 0.336160 | + | 1.90646i | ||||
\(779\) | 0.289002 | + | 0.344420i | 0.0103546 | + | 0.0123401i | ||||
\(780\) | −3.10874 | + | 9.66918i | −0.111311 | + | 0.346212i | ||||
\(781\) | −32.0393 | + | 11.6614i | −1.14646 | + | 0.417276i | ||||
\(782\) | 8.57326 | 0.306579 | ||||||||
\(783\) | 14.5386 | − | 21.9910i | 0.519568 | − | 0.785893i | ||||
\(784\) | −4.87361 | + | 15.9047i | −0.174057 | + | 0.568024i | ||||
\(785\) | −0.261728 | − | 0.719093i | −0.00934149 | − | 0.0256655i | ||||
\(786\) | 77.3002 | − | 16.6802i | 2.75721 | − | 0.594964i | ||||
\(787\) | 22.2373 | + | 26.5014i | 0.792674 | + | 0.944673i | 0.999431 | − | 0.0337197i | \(-0.0107354\pi\) |
−0.206757 | + | 0.978392i | \(0.566291\pi\) | |||||||
\(788\) | −8.84307 | + | 1.55927i | −0.315021 | + | 0.0555467i | ||||
\(789\) | −0.468780 | − | 12.3325i | −0.0166890 | − | 0.439050i | ||||
\(790\) | −0.469856 | + | 0.559953i | −0.0167167 | + | 0.0199222i | ||||
\(791\) | −25.5310 | + | 2.90067i | −0.907776 | + | 0.103136i | ||||
\(792\) | 13.8639 | − | 13.5546i | 0.492632 | − | 0.481642i | ||||
\(793\) | −35.2182 | − | 60.9998i | −1.25064 | − | 2.16616i | ||||
\(794\) | 2.91180 | − | 16.5136i | 0.103336 | − | 0.586046i | ||||
\(795\) | −1.29896 | + | 1.67322i | −0.0460695 | + | 0.0593429i | ||||
\(796\) | −9.64984 | + | 26.5127i | −0.342029 | + | 0.939718i | ||||
\(797\) | −13.7273 | − | 4.99634i | −0.486247 | − | 0.176980i | 0.0872509 | − | 0.996186i | \(-0.472192\pi\) |
−0.573498 | + | 0.819207i | \(0.694414\pi\) | |||||||
\(798\) | −2.17458 | − | 3.97876i | −0.0769792 | − | 0.140847i | ||||
\(799\) | 4.59576 | − | 26.0639i | 0.162586 | − | 0.922073i | ||||
\(800\) | −32.6277 | + | 18.8376i | −1.15356 | + | 0.666010i | ||||
\(801\) | 12.9598 | + | 9.29417i | 0.457913 | + | 0.328393i | ||||
\(802\) | −1.56453 | + | 2.70985i | −0.0552456 | + | 0.0956882i | ||||
\(803\) | −28.1492 | − | 23.6200i | −0.993364 | − | 0.833531i | ||||
\(804\) | −14.2080 | + | 26.9215i | −0.501076 | + | 0.949446i | ||||
\(805\) | 0.397107 | − | 0.418197i | 0.0139962 | − | 0.0147395i | ||||
\(806\) | 26.3957 | + | 31.4571i | 0.929747 | + | 1.10803i | ||||
\(807\) | 8.59181 | − | 7.78426i | 0.302446 | − | 0.274019i | ||||
\(808\) | −6.30214 | − | 17.3150i | −0.221709 | − | 0.609140i | ||||
\(809\) | 19.4950i | 0.685407i | 0.939444 | + | 0.342704i | \(0.111343\pi\) | ||||
−0.939444 | + | 0.342704i | \(0.888657\pi\) | |||||||
\(810\) | −7.15190 | + | 2.42182i | −0.251292 | + | 0.0850940i | ||||
\(811\) | − | 8.74742i | − | 0.307163i | −0.988136 | − | 0.153582i | \(-0.950919\pi\) | ||
0.988136 | − | 0.153582i | \(-0.0490808\pi\) | |||||||
\(812\) | −29.3176 | − | 19.4183i | −1.02885 | − | 0.681449i | ||||
\(813\) | −17.4491 | − | 19.2593i | −0.611967 | − | 0.675453i | ||||
\(814\) | −17.1510 | + | 14.3914i | −0.601143 | + | 0.504419i | ||||
\(815\) | −1.00483 | − | 5.69869i | −0.0351978 | − | 0.199617i | ||||
\(816\) | 13.7225 | − | 26.0015i | 0.480382 | − | 0.910234i | ||||
\(817\) | −1.97751 | + | 2.35670i | −0.0691842 | + | 0.0824505i | ||||
\(818\) | −10.3078 | + | 17.8535i | −0.360402 | + | 0.624235i | ||||
\(819\) | 39.7450 | + | 22.1804i | 1.38880 | + | 0.775046i | ||||
\(820\) | −0.499369 | − | 0.864933i | −0.0174387 | − | 0.0302048i | ||||
\(821\) | −14.8604 | − | 2.62030i | −0.518633 | − | 0.0914490i | −0.0917964 | − | 0.995778i | \(-0.529261\pi\) |
−0.426836 | + | 0.904329i | \(0.640372\pi\) | |||||||
\(822\) | 0.541631 | − | 3.94216i | 0.0188916 | − | 0.137499i | ||||
\(823\) | 45.4998 | + | 16.5606i | 1.58602 | + | 0.577265i | 0.976503 | − | 0.215505i | \(-0.0691396\pi\) |
0.609521 | + | 0.792770i | \(0.291362\pi\) | |||||||
\(824\) | −15.2886 | − | 5.56458i | −0.532602 | − | 0.193851i | ||||
\(825\) | −24.9812 | + | 32.1787i | −0.869732 | + | 1.12032i | ||||
\(826\) | −20.9657 | + | 10.4448i | −0.729490 | + | 0.363421i | ||||
\(827\) | 1.87534 | − | 1.08273i | 0.0652119 | − | 0.0376501i | −0.467040 | − | 0.884236i | \(-0.654679\pi\) |
0.532251 | + | 0.846586i | \(0.321346\pi\) | |||||||
\(828\) | −1.18364 | + | 4.22614i | −0.0411343 | + | 0.146868i | ||||
\(829\) | −34.8737 | − | 20.1344i | −1.21121 | − | 0.699295i | −0.248191 | − | 0.968711i | \(-0.579836\pi\) |
−0.963024 | + | 0.269416i | \(0.913169\pi\) | |||||||
\(830\) | −3.89269 | + | 4.63913i | −0.135117 | + | 0.161027i | ||||
\(831\) | −44.5711 | + | 1.69422i | −1.54615 | + | 0.0587718i | ||||
\(832\) | 67.4950 | − | 11.9012i | 2.33997 | − | 0.412600i | ||||
\(833\) | −19.5075 | − | 46.0382i | −0.675896 | − | 1.59513i | ||||
\(834\) | 4.56285 | + | 21.1454i | 0.157999 | + | 0.732204i | ||||
\(835\) | 1.38742 | − | 0.504981i | 0.0480138 | − | 0.0174756i | ||||
\(836\) | −5.85124 | −0.202369 | ||||||||
\(837\) | −4.03246 | + | 16.8360i | −0.139382 | + | 0.581936i | ||||
\(838\) | 47.3937i | 1.63719i | ||||||||
\(839\) | 8.35277 | − | 3.04016i | 0.288370 | − | 0.104958i | −0.193785 | − | 0.981044i | \(-0.562076\pi\) |
0.482155 | + | 0.876086i | \(0.339854\pi\) | |||||||
\(840\) | 0.762323 | + | 2.25755i | 0.0263026 | + | 0.0778929i | ||||
\(841\) | 2.49746 | − | 2.09562i | 0.0861194 | − | 0.0722628i | ||||
\(842\) | −58.4633 | + | 10.3087i | −2.01478 | + | 0.355260i | ||||
\(843\) | −11.8394 | + | 7.44902i | −0.407772 | + | 0.256558i | ||||
\(844\) | −0.598908 | − | 0.502543i | −0.0206153 | − | 0.0172983i | ||||
\(845\) | −3.88056 | + | 6.72133i | −0.133495 | + | 0.231221i | ||||
\(846\) | 21.5377 | + | 10.3405i | 0.740480 | + | 0.355514i | ||||
\(847\) | 30.4212 | + | 13.2390i | 1.04529 | + | 0.454898i | ||||
\(848\) | 7.33230 | + | 1.29288i | 0.251792 | + | 0.0443978i | ||||
\(849\) | 4.12589 | + | 10.1219i | 0.141600 | + | 0.347382i | ||||
\(850\) | 25.4547 | − | 69.9363i | 0.873091 | − | 2.39880i | ||||
\(851\) | 0.410049 | − | 1.12660i | 0.0140563 | − | 0.0386194i | ||||
\(852\) | 12.0364 | + | 29.5284i | 0.412361 | + | 1.01163i | ||||
\(853\) | 7.05528 | + | 1.24404i | 0.241568 | + | 0.0425950i | 0.293121 | − | 0.956075i | \(-0.405306\pi\) |
−0.0515532 | + | 0.998670i | \(0.516417\pi\) | |||||||
\(854\) | −64.0484 | − | 27.8732i | −2.19169 | − | 0.953802i | ||||
\(855\) | 0.485966 | + | 0.233319i | 0.0166197 | + | 0.00797933i | ||||
\(856\) | 3.70998 | − | 6.42588i | 0.126805 | − | 0.219632i | ||||
\(857\) | −27.4777 | − | 23.0565i | −0.938619 | − | 0.787595i | 0.0387252 | − | 0.999250i | \(-0.487670\pi\) |
−0.977344 | + | 0.211655i | \(0.932115\pi\) | |||||||
\(858\) | 87.6673 | − | 55.1576i | 2.99291 | − | 1.88305i | ||||
\(859\) | −4.46217 | + | 0.786801i | −0.152247 | + | 0.0268453i | −0.249252 | − | 0.968439i | \(-0.580185\pi\) |
0.0970050 | + | 0.995284i | \(0.469074\pi\) | |||||||
\(860\) | 5.23507 | − | 4.39275i | 0.178514 | − | 0.149791i | ||||
\(861\) | −4.24044 | + | 1.43190i | −0.144514 | + | 0.0487990i | ||||
\(862\) | 28.1506 | − | 10.2460i | 0.958815 | − | 0.348980i | ||||
\(863\) | 33.0683i | 1.12566i | 0.826573 | + | 0.562830i | \(0.190287\pi\) | ||||
−0.826573 | + | 0.562830i | \(0.809713\pi\) | |||||||
\(864\) | 29.3082 | + | 27.7828i | 0.997086 | + | 0.945189i | ||||
\(865\) | 6.00516 | 0.204182 | ||||||||
\(866\) | −42.1093 | + | 15.3265i | −1.43093 | + | 0.520817i | ||||
\(867\) | 12.4295 | + | 57.6015i | 0.422129 | + | 1.95625i | ||||
\(868\) | 22.4532 | + | 5.39808i | 0.762111 | + | 0.183223i | ||||
\(869\) | 4.16293 | − | 0.734037i | 0.141218 | − | 0.0249005i | ||||
\(870\) | 7.36718 | − | 0.280039i | 0.249771 | − | 0.00949420i | ||||
\(871\) | −24.7278 | + | 29.4694i | −0.837868 | + | 0.998532i | ||||
\(872\) | 4.30537 | + | 2.48571i | 0.145798 | + | 0.0841766i | ||||
\(873\) | −8.86255 | + | 31.6434i | −0.299952 | + | 1.07097i | ||||
\(874\) | 0.478503 | − | 0.276264i | 0.0161856 | − | 0.00934476i | ||||
\(875\) | −4.53496 | − | 9.10296i | −0.153310 | − | 0.307736i | ||||
\(876\) | −21.0743 | + | 27.1462i | −0.712036 | + | 0.917186i | ||||
\(877\) | −12.0002 | − | 4.36773i | −0.405219 | − | 0.147488i | 0.131366 | − | 0.991334i | \(-0.458064\pi\) |
−0.536585 | + | 0.843846i | \(0.680286\pi\) | |||||||
\(878\) | −7.52835 | − | 2.74009i | −0.254069 | − | 0.0924737i | ||||
\(879\) | −1.92525 | + | 14.0125i | −0.0649369 | + | 0.472631i | ||||
\(880\) | −4.43210 | − | 0.781499i | −0.149406 | − | 0.0263443i | ||||
\(881\) | 8.46605 | + | 14.6636i | 0.285229 | + | 0.494030i | 0.972665 | − | 0.232215i | \(-0.0745972\pi\) |
−0.687436 | + | 0.726245i | \(0.741264\pi\) | |||||||
\(882\) | 44.7690 | − | 5.74878i | 1.50745 | − | 0.193572i | ||||
\(883\) | 4.01408 | − | 6.95260i | 0.135085 | − | 0.233973i | −0.790545 | − | 0.612404i | \(-0.790203\pi\) |
0.925630 | + | 0.378430i | \(0.123536\pi\) | |||||||
\(884\) | −68.9751 | + | 82.2013i | −2.31988 | + | 2.76473i | ||||
\(885\) | 1.29979 | − | 2.46285i | 0.0436918 | − | 0.0827878i | ||||
\(886\) | 1.95907 | + | 11.1104i | 0.0658161 | + | 0.373262i | ||||
\(887\) | −23.0852 | + | 19.3708i | −0.775125 | + | 0.650408i | −0.942016 | − | 0.335568i | \(-0.891072\pi\) |
0.166891 | + | 0.985975i | \(0.446627\pi\) | |||||||
\(888\) | 3.32594 | + | 3.67098i | 0.111611 | + | 0.123190i | ||||
\(889\) | 16.3777 | − | 24.7270i | 0.549291 | − | 0.829316i | ||||
\(890\) | 4.46002i | 0.149500i | ||||||||
\(891\) | 40.6853 | + | 15.8565i | 1.36301 | + | 0.531211i | ||||
\(892\) | 7.50739i | 0.251366i | ||||||||
\(893\) | −0.583374 | − | 1.60281i | −0.0195218 | − | 0.0536358i | ||||
\(894\) | 3.74469 | − | 3.39273i | 0.125241 | − | 0.113470i | ||||
\(895\) | −4.05935 | − | 4.83775i | −0.135689 | − | 0.161708i | ||||
\(896\) | 18.4825 | − | 19.4641i | 0.617458 | − | 0.650251i | ||||
\(897\) | −2.58872 | + | 4.90513i | −0.0864347 | + | 0.163778i | ||||
\(898\) | −42.6855 | − | 35.8174i | −1.42443 | − | 1.19524i | ||||
\(899\) | 8.45166 | − | 14.6387i | 0.281879 | − | 0.488228i | ||||
\(900\) | 30.9603 | + | 22.2033i | 1.03201 | + | 0.740109i | ||||
\(901\) | −19.3813 | + | 11.1898i | −0.645683 | + | 0.372785i | ||||
\(902\) | −1.76860 | + | 10.0302i | −0.0588880 | + | 0.333970i | ||||
\(903\) | −14.6874 | − | 26.8731i | −0.488767 | − | 0.894282i | ||||
\(904\) | 12.1569 | + | 4.42475i | 0.404332 | + | 0.147165i | ||||
\(905\) | −2.44933 | + | 6.72947i | −0.0814184 | + | 0.223695i | ||||
\(906\) | −32.7315 | + | 42.1620i | −1.08743 | + | 1.40074i | ||||
\(907\) | −4.40531 | + | 24.9838i | −0.146276 | + | 0.829572i | 0.820058 | + | 0.572281i | \(0.193941\pi\) |
−0.966334 | + | 0.257292i | \(0.917170\pi\) | |||||||
\(908\) | −36.2861 | − | 62.8494i | −1.20420 | − | 2.08573i | ||||
\(909\) | 29.6724 | − | 29.0105i | 0.984172 | − | 0.962217i | ||||
\(910\) | 1.43692 | + | 12.6474i | 0.0476334 | + | 0.419257i | ||||
\(911\) | −0.815474 | + | 0.971845i | −0.0270179 | + | 0.0321986i | −0.779384 | − | 0.626546i | \(-0.784468\pi\) |
0.752366 | + | 0.658745i | \(0.228912\pi\) | |||||||
\(912\) | −0.0719721 | − | 1.89342i | −0.00238323 | − | 0.0626975i | ||||
\(913\) | 34.4893 | − | 6.08139i | 1.14143 | − | 0.201265i | ||||
\(914\) | 28.6626 | + | 34.1588i | 0.948075 | + | 1.12987i | ||||
\(915\) | 8.11766 | − | 1.75167i | 0.268362 | − | 0.0579084i | ||||
\(916\) | 21.1352 | + | 58.0683i | 0.698325 | + | 1.91863i | ||||
\(917\) | 45.1880 | − | 33.4151i | 1.49224 | − | 1.10346i | ||||
\(918\) | −79.6292 | − | 4.82767i | −2.62816 | − | 0.159337i | ||||
\(919\) | 38.7081 | 1.27686 | 0.638430 | − | 0.769680i | \(-0.279584\pi\) | ||||
0.638430 | + | 0.769680i | \(0.279584\pi\) | |||||||
\(920\) | −0.272848 | + | 0.0993084i | −0.00899552 | + | 0.00327410i | ||||
\(921\) | 12.2643 | − | 38.1459i | 0.404123 | − | 1.25695i | ||||
\(922\) | −0.244786 | − | 0.291724i | −0.00806159 | − | 0.00960743i | ||||
\(923\) | 6.99766 | + | 39.6857i | 0.230331 | + | 1.30627i | ||||
\(924\) | 21.1974 | − | 54.2528i | 0.697343 | − | 1.78479i | ||||
\(925\) | −7.97276 | − | 6.68994i | −0.262143 | − | 0.219964i | ||||
\(926\) | 53.8650 | + | 31.0990i | 1.77011 | + | 1.02198i | ||||
\(927\) | −2.78156 | − | 36.5353i | −0.0913583 | − | 1.19998i | ||||
\(928\) | −19.7151 | − | 34.1475i | −0.647179 | − | 1.12095i | ||||
\(929\) | −6.02005 | + | 34.1414i | −0.197512 | + | 1.12014i | 0.711285 | + | 0.702904i | \(0.248114\pi\) |
−0.908796 | + | 0.417240i | \(0.862998\pi\) | |||||||
\(930\) | −4.48335 | + | 1.82751i | −0.147015 | + | 0.0599265i | ||||
\(931\) | −2.57231 | − | 1.94094i | −0.0843041 | − | 0.0636118i | ||||
\(932\) | −7.70802 | + | 21.1776i | −0.252485 | + | 0.693696i | ||||
\(933\) | −37.8113 | + | 15.4127i | −1.23789 | + | 0.504589i | ||||
\(934\) | 18.7803 | + | 3.31148i | 0.614511 | + | 0.108355i | ||||
\(935\) | 11.7152 | − | 6.76379i | 0.383129 | − | 0.221200i | ||||
\(936\) | −12.9316 | − | 18.9188i | −0.422682 | − | 0.618382i | ||||
\(937\) | 24.7426 | + | 14.2852i | 0.808307 | + | 0.466676i | 0.846367 | − | 0.532599i | \(-0.178785\pi\) |
−0.0380609 | + | 0.999275i | \(0.512118\pi\) | |||||||
\(938\) | −2.34108 | + | 38.0777i | −0.0764390 | + | 1.24328i | ||||
\(939\) | −17.5284 | + | 11.0283i | −0.572018 | + | 0.359896i | ||||
\(940\) | 0.657936 | + | 3.73134i | 0.0214595 | + | 0.121703i | ||||
\(941\) | 37.2620 | − | 31.2666i | 1.21471 | − | 1.01926i | 0.215623 | − | 0.976477i | \(-0.430822\pi\) |
0.999084 | − | 0.0427842i | \(-0.0136228\pi\) | |||||||
\(942\) | 6.94812 | + | 2.23389i | 0.226382 | + | 0.0727842i | ||||
\(943\) | −0.186535 | − | 0.512500i | −0.00607440 | − | 0.0166893i | ||||
\(944\) | −9.78827 | −0.318581 | ||||||||
\(945\) | −3.92385 | + | 3.66063i | −0.127643 | + | 0.119080i | ||||
\(946\) | −69.6909 | −2.26585 | ||||||||
\(947\) | −6.23321 | − | 17.1256i | −0.202552 | − | 0.556508i | 0.796275 | − | 0.604935i | \(-0.206801\pi\) |
−0.998827 | + | 0.0484279i | \(0.984579\pi\) | |||||||
\(948\) | −0.833886 | − | 3.86443i | −0.0270834 | − | 0.125511i | ||||
\(949\) | −33.2698 | + | 27.9167i | −1.07999 | + | 0.906215i | ||||
\(950\) | −0.832904 | − | 4.72363i | −0.0270230 | − | 0.153255i | ||||
\(951\) | 1.85297 | + | 48.7474i | 0.0600867 | + | 1.58074i | ||||
\(952\) | −1.54485 | + | 25.1270i | −0.0500689 | + | 0.814371i | ||||
\(953\) | 28.1743 | + | 16.2665i | 0.912656 | + | 0.526922i | 0.881285 | − | 0.472586i | \(-0.156679\pi\) |
0.0313712 | + | 0.999508i | \(0.490013\pi\) | |||||||
\(954\) | −5.00835 | − | 19.5718i | −0.162151 | − | 0.633662i | ||||
\(955\) | −6.79250 | + | 3.92165i | −0.219800 | + | 0.126902i | ||||
\(956\) | −34.2114 | − | 6.03239i | −1.10647 | − | 0.195101i | ||||
\(957\) | −33.6776 | − | 26.1448i | −1.08864 | − | 0.845141i | ||||
\(958\) | 4.66581 | − | 12.8192i | 0.150746 | − | 0.414170i | ||||
\(959\) | −0.802324 | − | 2.71176i | −0.0259084 | − | 0.0875675i | ||||
\(960\) | −1.09988 | + | 8.00526i | −0.0354984 | + | 0.258369i | ||||
\(961\) | 3.45553 | − | 19.5973i | 0.111469 | − | 0.632170i | ||||
\(962\) | 13.2309 | + | 22.9167i | 0.426582 | + | 0.738863i | ||||
\(963\) | 16.6294 | + | 1.64409i | 0.535876 | + | 0.0529801i | ||||
\(964\) | 24.8055 | + | 14.3215i | 0.798931 | + | 0.461263i | ||||
\(965\) | 6.43116 | + | 5.39639i | 0.207026 | + | 0.173716i | ||||
\(966\) | 0.828041 | + | 5.43751i | 0.0266418 | + | 0.174949i | ||||
\(967\) | 0.197163 | + | 1.11816i | 0.00634032 | + | 0.0359577i | 0.987814 | − | 0.155640i | \(-0.0497441\pi\) |
−0.981473 | + | 0.191598i | \(0.938633\pi\) | |||||||
\(968\) | −10.7372 | − | 12.7961i | −0.345107 | − | 0.411282i | ||||
\(969\) | 3.82400 | + | 4.22071i | 0.122845 | + | 0.135589i | ||||
\(970\) | −8.63569 | + | 3.14314i | −0.277275 | + | 0.100920i | ||||
\(971\) | 37.6895 | 1.20951 | 0.604757 | − | 0.796410i | \(-0.293270\pi\) | ||||
0.604757 | + | 0.796410i | \(0.293270\pi\) | |||||||
\(972\) | 13.3735 | − | 38.5862i | 0.428955 | − | 1.23765i | ||||
\(973\) | 9.14066 | + | 12.3611i | 0.293036 | + | 0.396279i | ||||
\(974\) | 3.82155 | + | 10.4996i | 0.122450 | + | 0.336429i | ||||
\(975\) | 32.3275 | + | 35.6812i | 1.03531 | + | 1.14271i | ||||
\(976\) | −18.7626 | − | 22.3604i | −0.600578 | − | 0.715741i | ||||
\(977\) | −29.2666 | + | 5.16050i | −0.936323 | + | 0.165099i | −0.620933 | − | 0.783863i | \(-0.713246\pi\) |
−0.315390 | + | 0.948962i | \(0.602135\pi\) | |||||||
\(978\) | 48.8088 | + | 25.7591i | 1.56073 | + | 0.823686i | ||||
\(979\) | 16.5788 | − | 19.7579i | 0.529862 | − | 0.631465i | ||||
\(980\) | 4.87852 | + | 5.23825i | 0.155839 | + | 0.167330i | ||||
\(981\) | −1.10155 | + | 11.1418i | −0.0351698 | + | 0.355730i | ||||
\(982\) | −14.7282 | − | 25.5101i | −0.469997 | − | 0.814059i | ||||
\(983\) | −0.460838 | + | 2.61354i | −0.0146984 | + | 0.0833590i | −0.991275 | − | 0.131813i | \(-0.957920\pi\) |
0.976576 | + | 0.215172i | \(0.0690312\pi\) | |||||||
\(984\) | 2.23245 | + | 0.306726i | 0.0711680 | + | 0.00977808i | ||||
\(985\) | 0.457597 | − | 1.25724i | 0.0145803 | − | 0.0400589i | ||||
\(986\) | 73.1940 | + | 26.6404i | 2.33097 | + | 0.848404i | ||||
\(987\) | 16.9746 | + | 0.397466i | 0.540309 | + | 0.0126515i | ||||
\(988\) | −1.20089 | + | 6.81058i | −0.0382054 | + | 0.216673i | ||||
\(989\) | 3.23188 | − | 1.86593i | 0.102768 | − | 0.0593330i | ||||
\(990\) | 3.02736 | + | 11.8304i | 0.0962157 | + | 0.375996i | ||||
\(991\) | −16.1884 | + | 28.0391i | −0.514242 | + | 0.890693i | 0.485622 | + | 0.874169i | \(0.338593\pi\) |
−0.999863 | + | 0.0165236i | \(0.994740\pi\) | |||||||
\(992\) | 19.8358 | + | 16.6442i | 0.629786 | + | 0.528453i | ||||
\(993\) | −26.1116 | + | 0.992547i | −0.828628 | + | 0.0314975i | ||||
\(994\) | 28.9792 | + | 27.5177i | 0.919164 | + | 0.872810i | ||||
\(995\) | −2.70219 | − | 3.22034i | −0.0856652 | − | 0.102092i | ||||
\(996\) | −6.90863 | − | 32.0163i | −0.218908 | − | 1.01447i | ||||
\(997\) | −3.04666 | − | 8.37063i | −0.0964887 | − | 0.265100i | 0.882053 | − | 0.471151i | \(-0.156161\pi\) |
−0.978541 | + | 0.206050i | \(0.933939\pi\) | |||||||
\(998\) | − | 74.1087i | − | 2.34587i | ||||||
\(999\) | −4.44297 | + | 10.2331i | −0.140569 | + | 0.323759i |
(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 | 189.2.be.a.20.20 | yes | 132 | |
3.2 | odd | 2 | 567.2.be.a.62.4 | 132 | |||
7.6 | odd | 2 | inner | 189.2.be.a.20.19 | ✓ | 132 | |
21.20 | even | 2 | 567.2.be.a.62.3 | 132 | |||
27.4 | even | 9 | 567.2.be.a.503.3 | 132 | |||
27.23 | odd | 18 | inner | 189.2.be.a.104.19 | yes | 132 | |
189.104 | even | 18 | inner | 189.2.be.a.104.20 | yes | 132 | |
189.139 | odd | 18 | 567.2.be.a.503.4 | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.be.a.20.19 | ✓ | 132 | 7.6 | odd | 2 | inner | |
189.2.be.a.20.20 | yes | 132 | 1.1 | even | 1 | trivial | |
189.2.be.a.104.19 | yes | 132 | 27.23 | odd | 18 | inner | |
189.2.be.a.104.20 | yes | 132 | 189.104 | even | 18 | inner | |
567.2.be.a.62.3 | 132 | 21.20 | even | 2 | |||
567.2.be.a.62.4 | 132 | 3.2 | odd | 2 | |||
567.2.be.a.503.3 | 132 | 27.4 | even | 9 | |||
567.2.be.a.503.4 | 132 | 189.139 | odd | 18 |