Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [712,2,Mod(3,712)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(712, base_ring=CyclotomicField(88))
chi = DirichletCharacter(H, H._module([44, 44, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("712.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 712 = 2^{3} \cdot 89 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 712.bf (of order \(88\), degree \(40\), 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: | \(5.68534862392\) |
Analytic rank: | \(0\) |
Dimension: | \(3440\) |
Relative dimension: | \(86\) over \(\Q(\zeta_{88})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{88}]$ |
Embedding invariants
Embedding label | 483.6 | ||
Character | \(\chi\) | \(=\) | 712.483 |
Dual form | 712.2.bf.c.171.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/712\mathbb{Z}\right)^\times\).
\(n\) | \(357\) | \(535\) | \(537\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{51}{88}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.38774 | + | 0.272381i | −0.981277 | + | 0.192602i | ||||
\(3\) | −0.703764 | + | 2.75732i | −0.406319 | + | 1.59194i | 0.349354 | + | 0.936991i | \(0.386401\pi\) |
−0.755673 | + | 0.654949i | \(0.772690\pi\) | |||||||
\(4\) | 1.85162 | − | 0.755984i | 0.925809 | − | 0.377992i | ||||
\(5\) | −3.43459 | − | 0.747149i | −1.53599 | − | 0.334135i | −0.636573 | − | 0.771217i | \(-0.719649\pi\) |
−0.899422 | + | 0.437081i | \(0.856012\pi\) | |||||||
\(6\) | 0.225598 | − | 4.01812i | 0.0920998 | − | 1.64039i | ||||
\(7\) | −0.125289 | − | 0.694431i | −0.0473549 | − | 0.262470i | 0.951644 | − | 0.307203i | \(-0.0993929\pi\) |
−0.998999 | + | 0.0447322i | \(0.985757\pi\) | |||||||
\(8\) | −2.36364 | + | 1.55345i | −0.835673 | + | 0.549228i | ||||
\(9\) | −4.47450 | − | 2.44326i | −1.49150 | − | 0.814421i | ||||
\(10\) | 4.96981 | + | 0.101330i | 1.57159 | + | 0.0320432i | ||||
\(11\) | 1.78943 | − | 2.78440i | 0.539533 | − | 0.839529i | −0.459278 | − | 0.888293i | \(-0.651892\pi\) |
0.998810 | + | 0.0487634i | \(0.0155280\pi\) | |||||||
\(12\) | 0.781389 | + | 5.63754i | 0.225568 | + | 1.62742i | ||||
\(13\) | −4.92665 | + | 2.92312i | −1.36641 | + | 0.810726i | −0.993133 | − | 0.116995i | \(-0.962674\pi\) |
−0.373274 | + | 0.927721i | \(0.621765\pi\) | |||||||
\(14\) | 0.363018 | + | 0.929561i | 0.0970206 | + | 0.248436i | ||||
\(15\) | 4.47727 | − | 8.94445i | 1.15603 | − | 2.30945i | ||||
\(16\) | 2.85698 | − | 2.79959i | 0.714244 | − | 0.699897i | ||||
\(17\) | −0.135618 | − | 1.89619i | −0.0328922 | − | 0.459893i | −0.987031 | − | 0.160529i | \(-0.948680\pi\) |
0.954139 | − | 0.299364i | \(-0.0967745\pi\) | |||||||
\(18\) | 6.87492 | + | 2.17183i | 1.62043 | + | 0.511906i | ||||
\(19\) | 3.37999 | + | 4.19431i | 0.775423 | + | 0.962241i | 0.999925 | − | 0.0122324i | \(-0.00389378\pi\) |
−0.224502 | + | 0.974474i | \(0.572076\pi\) | |||||||
\(20\) | −6.92438 | + | 1.21306i | −1.54834 | + | 0.271249i | ||||
\(21\) | 2.00294 | + | 0.143253i | 0.437078 | + | 0.0312605i | ||||
\(22\) | −1.72483 | + | 4.35142i | −0.367736 | + | 0.927726i | ||||
\(23\) | 0.523747 | − | 4.87156i | 0.109209 | − | 1.01579i | −0.800156 | − | 0.599791i | \(-0.795250\pi\) |
0.909365 | − | 0.415999i | \(-0.136568\pi\) | |||||||
\(24\) | −2.61992 | − | 7.61058i | −0.534788 | − | 1.55350i | ||||
\(25\) | 6.69001 | + | 3.05523i | 1.33800 | + | 0.611045i | ||||
\(26\) | 6.04068 | − | 5.39843i | 1.18468 | − | 1.05872i | ||||
\(27\) | 4.06848 | − | 4.36986i | 0.782980 | − | 0.840980i | ||||
\(28\) | −0.756967 | − | 1.19110i | −0.143053 | − | 0.225098i | ||||
\(29\) | 3.75162 | − | 5.40337i | 0.696659 | − | 1.00338i | −0.302085 | − | 0.953281i | \(-0.597683\pi\) |
0.998744 | − | 0.0500991i | \(-0.0159537\pi\) | |||||||
\(30\) | −3.77697 | + | 13.6320i | −0.689578 | + | 2.48886i | ||||
\(31\) | −0.00905238 | − | 0.0841994i | −0.00162585 | − | 0.0151227i | 0.993429 | − | 0.114453i | \(-0.0365116\pi\) |
−0.995054 | + | 0.0993307i | \(0.968330\pi\) | |||||||
\(32\) | −3.20217 | + | 4.66327i | −0.566069 | + | 0.824358i | ||||
\(33\) | 6.41816 | + | 6.89359i | 1.11726 | + | 1.20002i | ||||
\(34\) | 0.704686 | + | 2.59447i | 0.120853 | + | 0.444947i | ||||
\(35\) | −0.0885269 | + | 2.47870i | −0.0149638 | + | 0.418976i | ||||
\(36\) | −10.1321 | − | 1.14133i | −1.68869 | − | 0.190222i | ||||
\(37\) | 5.94107 | − | 2.46087i | 0.976705 | − | 0.404565i | 0.163501 | − | 0.986543i | \(-0.447721\pi\) |
0.813204 | + | 0.581979i | \(0.197721\pi\) | |||||||
\(38\) | −5.83298 | − | 4.89995i | −0.946234 | − | 0.794877i | ||||
\(39\) | −4.59277 | − | 15.6415i | −0.735432 | − | 2.50465i | ||||
\(40\) | 9.27879 | − | 3.56947i | 1.46711 | − | 0.564383i | ||||
\(41\) | 2.26735 | + | 1.34528i | 0.354101 | + | 0.210098i | 0.676390 | − | 0.736543i | \(-0.263543\pi\) |
−0.322289 | + | 0.946641i | \(0.604452\pi\) | |||||||
\(42\) | −2.81858 | + | 0.346765i | −0.434916 | + | 0.0535071i | ||||
\(43\) | −7.99983 | + | 5.55438i | −1.21996 | + | 0.847035i | −0.991951 | − | 0.126623i | \(-0.959586\pi\) |
−0.228012 | + | 0.973658i | \(0.573223\pi\) | |||||||
\(44\) | 1.20837 | − | 6.50843i | 0.182169 | − | 0.981183i | ||||
\(45\) | 13.5426 | + | 11.7347i | 2.01881 | + | 1.74931i | ||||
\(46\) | 0.600096 | + | 6.90309i | 0.0884794 | + | 1.01781i | ||||
\(47\) | −2.35810 | + | 1.76525i | −0.343965 | + | 0.257489i | −0.757267 | − | 0.653105i | \(-0.773466\pi\) |
0.413303 | + | 0.910594i | \(0.364375\pi\) | |||||||
\(48\) | 5.70873 | + | 9.84785i | 0.823983 | + | 1.42141i | ||||
\(49\) | 6.09211 | − | 2.27224i | 0.870301 | − | 0.324606i | ||||
\(50\) | −10.1161 | − | 2.41761i | −1.43064 | − | 0.341902i | ||||
\(51\) | 5.32384 | + | 0.960526i | 0.745487 | + | 0.134501i | ||||
\(52\) | −6.91244 | + | 9.13696i | −0.958583 | + | 1.26707i | ||||
\(53\) | −1.44312 | + | 1.92778i | −0.198227 | + | 0.264800i | −0.888630 | − | 0.458625i | \(-0.848342\pi\) |
0.690403 | + | 0.723425i | \(0.257433\pi\) | |||||||
\(54\) | −4.45571 | + | 7.17238i | −0.606346 | + | 0.976038i | ||||
\(55\) | −8.22631 | + | 8.22631i | −1.10924 | + | 1.10924i | ||||
\(56\) | 1.37490 | + | 1.44675i | 0.183729 | + | 0.193331i | ||||
\(57\) | −13.9438 | + | 6.36791i | −1.84690 | + | 0.843451i | ||||
\(58\) | −3.73449 | + | 8.52031i | −0.490362 | + | 1.11877i | ||||
\(59\) | 5.50619 | − | 1.40537i | 0.716845 | − | 0.182964i | 0.128658 | − | 0.991689i | \(-0.458933\pi\) |
0.588187 | + | 0.808725i | \(0.299842\pi\) | |||||||
\(60\) | 1.52833 | − | 19.9464i | 0.197307 | − | 2.57508i | ||||
\(61\) | 0.521153 | + | 14.5919i | 0.0667268 | + | 1.86831i | 0.388445 | + | 0.921472i | \(0.373012\pi\) |
−0.321718 | + | 0.946835i | \(0.604260\pi\) | |||||||
\(62\) | 0.0354966 | + | 0.114381i | 0.00450807 | + | 0.0145264i | ||||
\(63\) | −1.13607 | + | 3.41335i | −0.143132 | + | 0.430041i | ||||
\(64\) | 3.17358 | − | 7.34359i | 0.396698 | − | 0.917949i | ||||
\(65\) | 19.1050 | − | 6.35876i | 2.36969 | − | 0.788707i | ||||
\(66\) | −10.7844 | − | 7.81830i | −1.32747 | − | 0.962366i | ||||
\(67\) | −1.39000 | − | 9.66767i | −0.169816 | − | 1.18109i | −0.879263 | − | 0.476336i | \(-0.841965\pi\) |
0.709448 | − | 0.704758i | \(-0.248944\pi\) | |||||||
\(68\) | −1.68460 | − | 3.40849i | −0.204288 | − | 0.413340i | ||||
\(69\) | 13.0639 | + | 4.87257i | 1.57270 | + | 0.586588i | ||||
\(70\) | −0.552297 | − | 3.46389i | −0.0660121 | − | 0.414014i | ||||
\(71\) | 0.146092 | + | 0.671573i | 0.0173379 | + | 0.0797010i | 0.985003 | − | 0.172538i | \(-0.0551967\pi\) |
−0.967665 | + | 0.252239i | \(0.918833\pi\) | |||||||
\(72\) | 14.3716 | − | 1.17593i | 1.69371 | − | 0.138584i | ||||
\(73\) | −0.803208 | + | 2.73547i | −0.0940084 | + | 0.320163i | −0.993049 | − | 0.117702i | \(-0.962447\pi\) |
0.899041 | + | 0.437865i | \(0.144265\pi\) | |||||||
\(74\) | −7.57433 | + | 5.03327i | −0.880498 | + | 0.585105i | ||||
\(75\) | −13.1324 | + | 16.2963i | −1.51640 | + | 1.88174i | ||||
\(76\) | 9.42928 | + | 5.21104i | 1.08161 | + | 0.597748i | ||||
\(77\) | −2.15777 | − | 0.893779i | −0.245901 | − | 0.101856i | ||||
\(78\) | 10.6340 | + | 20.4553i | 1.20406 | + | 2.31611i | ||||
\(79\) | 7.80144 | − | 4.25991i | 0.877730 | − | 0.479277i | 0.0238313 | − | 0.999716i | \(-0.492414\pi\) |
0.853899 | + | 0.520439i | \(0.174232\pi\) | |||||||
\(80\) | −11.9042 | + | 7.48085i | −1.33094 | + | 0.836384i | ||||
\(81\) | 0.917121 | + | 1.42707i | 0.101902 | + | 0.158563i | ||||
\(82\) | −3.51291 | − | 1.24931i | −0.387936 | − | 0.137964i | ||||
\(83\) | 2.85681 | + | 5.70719i | 0.313576 | + | 0.626445i | 0.994362 | − | 0.106037i | \(-0.0338162\pi\) |
−0.680786 | + | 0.732482i | \(0.738362\pi\) | |||||||
\(84\) | 3.81699 | − | 1.24894i | 0.416467 | − | 0.136271i | ||||
\(85\) | −0.950942 | + | 6.61395i | −0.103144 | + | 0.717384i | ||||
\(86\) | 9.58874 | − | 9.88701i | 1.03398 | − | 1.06614i | ||||
\(87\) | 12.2586 | + | 14.1471i | 1.31426 | + | 1.51673i | ||||
\(88\) | 0.0958723 | + | 9.36111i | 0.0102200 | + | 0.997898i | ||||
\(89\) | −5.20158 | − | 7.87042i | −0.551367 | − | 0.834263i | ||||
\(90\) | −21.9898 | − | 12.5959i | −2.31793 | − | 1.32773i | ||||
\(91\) | 2.64716 | + | 3.05498i | 0.277498 | + | 0.320249i | ||||
\(92\) | −2.71304 | − | 9.41621i | −0.282854 | − | 0.981707i | ||||
\(93\) | 0.238536 | + | 0.0342963i | 0.0247350 | + | 0.00355636i | ||||
\(94\) | 2.79160 | − | 3.09201i | 0.287932 | − | 0.318916i | ||||
\(95\) | −8.47510 | − | 16.9311i | −0.869527 | − | 1.73709i | ||||
\(96\) | −10.6046 | − | 12.1113i | −1.08232 | − | 1.23610i | ||||
\(97\) | 16.3102 | − | 10.4820i | 1.65605 | − | 1.06428i | 0.732536 | − | 0.680728i | \(-0.238337\pi\) |
0.923519 | − | 0.383553i | \(-0.125300\pi\) | |||||||
\(98\) | −7.83532 | + | 4.81264i | −0.791487 | + | 0.486150i | ||||
\(99\) | −14.8098 | + | 8.08677i | −1.48844 | + | 0.812751i | ||||
\(100\) | 14.6970 | + | 0.599566i | 1.46970 | + | 0.0599566i | ||||
\(101\) | 0.797204 | − | 1.92462i | 0.0793248 | − | 0.191507i | −0.879242 | − | 0.476376i | \(-0.841950\pi\) |
0.958566 | + | 0.284869i | \(0.0919501\pi\) | |||||||
\(102\) | −7.64971 | + | 0.117155i | −0.757434 | + | 0.0116000i | ||||
\(103\) | 11.4793 | − | 14.2449i | 1.13109 | − | 1.40360i | 0.228257 | − | 0.973601i | \(-0.426697\pi\) |
0.902831 | − | 0.429995i | \(-0.141485\pi\) | |||||||
\(104\) | 7.10390 | − | 14.5625i | 0.696595 | − | 1.42797i | ||||
\(105\) | −6.77226 | − | 1.98852i | −0.660905 | − | 0.194059i | ||||
\(106\) | 1.47757 | − | 3.06832i | 0.143515 | − | 0.298022i | ||||
\(107\) | −3.18209 | − | 14.6279i | −0.307625 | − | 1.41413i | −0.828258 | − | 0.560347i | \(-0.810668\pi\) |
0.520633 | − | 0.853780i | \(-0.325696\pi\) | |||||||
\(108\) | 4.22973 | − | 11.1670i | 0.407006 | − | 1.07455i | ||||
\(109\) | 0.722632 | − | 1.93745i | 0.0692155 | − | 0.185574i | −0.897736 | − | 0.440533i | \(-0.854789\pi\) |
0.966952 | + | 0.254959i | \(0.0820621\pi\) | |||||||
\(110\) | 9.17526 | − | 13.6566i | 0.874826 | − | 1.30211i | ||||
\(111\) | 2.60430 | + | 18.1133i | 0.247189 | + | 1.71924i | ||||
\(112\) | −2.30207 | − | 1.63322i | −0.217525 | − | 0.154324i | ||||
\(113\) | −0.402936 | − | 1.21063i | −0.0379050 | − | 0.113886i | 0.928163 | − | 0.372174i | \(-0.121387\pi\) |
−0.966068 | + | 0.258287i | \(0.916842\pi\) | |||||||
\(114\) | 17.6158 | − | 12.6350i | 1.64987 | − | 1.18338i | ||||
\(115\) | −5.43863 | + | 16.3405i | −0.507155 | + | 1.52376i | ||||
\(116\) | 2.86171 | − | 12.8411i | 0.265703 | − | 1.19227i | ||||
\(117\) | 29.1862 | − | 1.04239i | 2.69827 | − | 0.0963689i | ||||
\(118\) | −7.25834 | + | 3.45006i | −0.668184 | + | 0.317604i | ||||
\(119\) | −1.29978 | + | 0.331749i | −0.119151 | + | 0.0304114i | ||||
\(120\) | 3.31211 | + | 28.0967i | 0.302352 | + | 2.56486i | ||||
\(121\) | 0.0187116 | + | 0.0409726i | 0.00170105 | + | 0.00372479i | ||||
\(122\) | −4.69779 | − | 20.1078i | −0.425317 | − | 1.82048i | ||||
\(123\) | −5.30506 | + | 5.30506i | −0.478341 | + | 0.478341i | ||||
\(124\) | −0.0804150 | − | 0.149062i | −0.00722148 | − | 0.0133861i | ||||
\(125\) | −6.62555 | − | 4.95983i | −0.592607 | − | 0.443620i | ||||
\(126\) | 0.646836 | − | 5.04627i | 0.0576247 | − | 0.449557i | ||||
\(127\) | 1.84852 | + | 0.333510i | 0.164030 | + | 0.0295943i | 0.258950 | − | 0.965891i | \(-0.416623\pi\) |
−0.0949206 | + | 0.995485i | \(0.530260\pi\) | |||||||
\(128\) | −2.40384 | + | 11.0554i | −0.212471 | + | 0.977167i | ||||
\(129\) | −9.68522 | − | 25.9671i | −0.852736 | − | 2.28627i | ||||
\(130\) | −24.7807 | + | 14.0281i | −2.17341 | + | 1.23035i | ||||
\(131\) | 6.93745 | − | 5.19331i | 0.606128 | − | 0.453741i | −0.251610 | − | 0.967829i | \(-0.580960\pi\) |
0.857738 | + | 0.514087i | \(0.171869\pi\) | |||||||
\(132\) | 17.0954 | + | 7.91227i | 1.48797 | + | 0.688674i | ||||
\(133\) | 2.48919 | − | 2.87267i | 0.215840 | − | 0.249092i | ||||
\(134\) | 4.56224 | + | 13.0376i | 0.394117 | + | 1.12627i | ||||
\(135\) | −17.2385 | + | 11.9689i | −1.48365 | + | 1.03012i | ||||
\(136\) | 3.26619 | + | 4.27123i | 0.280073 | + | 0.366255i | ||||
\(137\) | −9.70753 | + | 16.3612i | −0.829370 | + | 1.39783i | 0.0864564 | + | 0.996256i | \(0.472446\pi\) |
−0.915827 | + | 0.401574i | \(0.868463\pi\) | |||||||
\(138\) | −19.4564 | − | 3.20349i | −1.65624 | − | 0.272699i | ||||
\(139\) | −6.00971 | − | 20.4672i | −0.509737 | − | 1.73601i | −0.663767 | − | 0.747939i | \(-0.731043\pi\) |
0.154030 | − | 0.988066i | \(-0.450775\pi\) | |||||||
\(140\) | 1.70994 | + | 4.65652i | 0.144516 | + | 0.393548i | ||||
\(141\) | −3.20782 | − | 7.74437i | −0.270148 | − | 0.652194i | ||||
\(142\) | −0.385660 | − | 0.892173i | −0.0323639 | − | 0.0748695i | ||||
\(143\) | −0.676747 | + | 18.9485i | −0.0565924 | + | 1.58455i | ||||
\(144\) | −19.6237 | + | 5.54641i | −1.63531 | + | 0.462201i | ||||
\(145\) | −16.9224 | + | 15.7553i | −1.40533 | + | 1.30841i | ||||
\(146\) | 0.369549 | − | 4.01489i | 0.0305841 | − | 0.332275i | ||||
\(147\) | 1.97789 | + | 18.3970i | 0.163133 | + | 1.51736i | ||||
\(148\) | 9.14020 | − | 9.04794i | 0.751320 | − | 0.743736i | ||||
\(149\) | 10.9970 | + | 7.63533i | 0.900906 | + | 0.625511i | 0.927373 | − | 0.374139i | \(-0.122062\pi\) |
−0.0264661 | + | 0.999650i | \(0.508425\pi\) | |||||||
\(150\) | 13.7855 | − | 26.1920i | 1.12558 | − | 2.13857i | ||||
\(151\) | −2.62527 | + | 2.81973i | −0.213641 | + | 0.229467i | −0.829666 | − | 0.558260i | \(-0.811469\pi\) |
0.616025 | + | 0.787727i | \(0.288742\pi\) | |||||||
\(152\) | −14.5047 | − | 4.66319i | −1.17649 | − | 0.378235i | ||||
\(153\) | −4.02606 | + | 8.81584i | −0.325488 | + | 0.712718i | ||||
\(154\) | 3.23787 | + | 0.652593i | 0.260915 | + | 0.0525874i | ||||
\(155\) | −0.0318183 | + | 0.295954i | −0.00255571 | + | 0.0237716i | ||||
\(156\) | −20.3288 | − | 25.4901i | −1.62761 | − | 2.04084i | ||||
\(157\) | 1.27562 | − | 17.8355i | 0.101806 | − | 1.42343i | −0.647935 | − | 0.761696i | \(-0.724367\pi\) |
0.749741 | − | 0.661732i | \(-0.230178\pi\) | |||||||
\(158\) | −9.66601 | + | 8.03658i | −0.768986 | + | 0.639356i | ||||
\(159\) | −4.29989 | − | 5.33583i | −0.341003 | − | 0.423159i | ||||
\(160\) | 14.4823 | − | 13.6239i | 1.14493 | − | 1.07707i | ||||
\(161\) | −3.44858 | + | 0.246648i | −0.271786 | + | 0.0194385i | ||||
\(162\) | −1.66143 | − | 1.73059i | −0.130534 | − | 0.135968i | ||||
\(163\) | 7.81634 | − | 15.6150i | 0.612223 | − | 1.22307i | −0.346320 | − | 0.938116i | \(-0.612569\pi\) |
0.958543 | − | 0.284949i | \(-0.0919765\pi\) | |||||||
\(164\) | 5.21528 | + | 0.776866i | 0.407245 | + | 0.0606630i | ||||
\(165\) | −16.8932 | − | 28.4720i | −1.31513 | − | 2.21654i | ||||
\(166\) | −5.51903 | − | 7.14192i | −0.428360 | − | 0.554321i | ||||
\(167\) | 5.71648 | − | 8.89502i | 0.442355 | − | 0.688317i | −0.546457 | − | 0.837487i | \(-0.684024\pi\) |
0.988812 | + | 0.149170i | \(0.0476602\pi\) | |||||||
\(168\) | −4.95678 | + | 2.77288i | −0.382424 | + | 0.213932i | ||||
\(169\) | 9.49702 | − | 17.3925i | 0.730540 | − | 1.33788i | ||||
\(170\) | −0.481855 | − | 9.43743i | −0.0369566 | − | 0.723818i | ||||
\(171\) | −4.87596 | − | 27.0256i | −0.372874 | − | 2.06670i | ||||
\(172\) | −10.6136 | + | 16.3323i | −0.809280 | + | 1.24533i | ||||
\(173\) | −1.60186 | + | 7.36365i | −0.121787 | + | 0.559848i | 0.875300 | + | 0.483580i | \(0.160664\pi\) |
−0.997087 | + | 0.0762675i | \(0.975700\pi\) | |||||||
\(174\) | −20.8650 | − | 16.2935i | −1.58177 | − | 1.23521i | ||||
\(175\) | 1.28346 | − | 5.02854i | 0.0970203 | − | 0.380122i | ||||
\(176\) | −2.68283 | − | 12.9646i | −0.202226 | − | 0.977246i | ||||
\(177\) | 16.1714i | 1.21552i | ||||||||
\(178\) | 9.36217 | + | 9.50525i | 0.701724 | + | 0.712449i | ||||
\(179\) | −10.7364 | −0.802477 | −0.401238 | − | 0.915974i | \(-0.631420\pi\) | ||||
−0.401238 | + | 0.915974i | \(0.631420\pi\) | |||||||
\(180\) | 33.9470 | + | 11.4902i | 2.53026 | + | 0.856431i | ||||
\(181\) | −3.54768 | − | 0.905492i | −0.263697 | − | 0.0673047i | 0.113158 | − | 0.993577i | \(-0.463904\pi\) |
−0.376855 | + | 0.926272i | \(0.622994\pi\) | |||||||
\(182\) | −4.50567 | − | 3.51847i | −0.333983 | − | 0.260807i | ||||
\(183\) | −40.6015 | − | 8.83231i | −3.00135 | − | 0.652903i | ||||
\(184\) | 6.32978 | + | 12.3282i | 0.466637 | + | 0.908848i | ||||
\(185\) | −22.2438 | + | 4.01322i | −1.63539 | + | 0.295057i | ||||
\(186\) | −0.340366 | + | 0.0173784i | −0.0249568 | + | 0.00127424i | ||||
\(187\) | −5.52243 | − | 3.01547i | −0.403840 | − | 0.220513i | ||||
\(188\) | −3.03180 | + | 5.05127i | −0.221117 | + | 0.368401i | ||||
\(189\) | −3.54430 | − | 2.27779i | −0.257810 | − | 0.165685i | ||||
\(190\) | 16.3729 | + | 21.1874i | 1.18781 | + | 1.53710i | ||||
\(191\) | 5.83298 | − | 3.46087i | 0.422059 | − | 0.250419i | −0.283640 | − | 0.958931i | \(-0.591542\pi\) |
0.705699 | + | 0.708511i | \(0.250633\pi\) | |||||||
\(192\) | 18.0152 | + | 13.9187i | 1.30013 | + | 1.00450i | ||||
\(193\) | 12.9221 | + | 6.46832i | 0.930150 | + | 0.465600i | 0.847391 | − | 0.530970i | \(-0.178172\pi\) |
0.0827591 | + | 0.996570i | \(0.473627\pi\) | |||||||
\(194\) | −19.7792 | + | 18.9888i | −1.42007 | + | 1.36331i | ||||
\(195\) | 4.08772 | + | 57.1537i | 0.292727 | + | 4.09286i | ||||
\(196\) | 9.56248 | − | 8.81286i | 0.683034 | − | 0.629490i | ||||
\(197\) | 7.22842 | − | 5.82503i | 0.515003 | − | 0.415016i | −0.334662 | − | 0.942338i | \(-0.608622\pi\) |
0.849665 | + | 0.527322i | \(0.176804\pi\) | |||||||
\(198\) | 18.3494 | − | 15.2562i | 1.30404 | − | 1.08421i | ||||
\(199\) | −25.6998 | − | 1.83808i | −1.82181 | − | 0.130298i | −0.881838 | − | 0.471553i | \(-0.843694\pi\) |
−0.939971 | + | 0.341254i | \(0.889148\pi\) | |||||||
\(200\) | −20.5589 | + | 3.17115i | −1.45373 | + | 0.224234i | ||||
\(201\) | 27.6351 | + | 2.97108i | 1.94923 | + | 0.209564i | ||||
\(202\) | −0.582079 | + | 2.88801i | −0.0409549 | + | 0.203200i | ||||
\(203\) | −4.22231 | − | 1.92826i | −0.296348 | − | 0.135338i | ||||
\(204\) | 10.5839 | − | 2.24621i | 0.741018 | − | 0.157266i | ||||
\(205\) | −6.78230 | − | 6.31454i | −0.473696 | − | 0.441027i | ||||
\(206\) | −12.0502 | + | 22.8949i | −0.839576 | + | 1.59517i | ||||
\(207\) | −14.2460 | + | 20.5181i | −0.990165 | + | 1.42611i | ||||
\(208\) | −5.89180 | + | 22.1439i | −0.408523 | + | 1.53540i | ||||
\(209\) | 17.7269 | − | 1.90584i | 1.22620 | − | 0.131830i | ||||
\(210\) | 9.93974 | + | 0.914900i | 0.685907 | + | 0.0631341i | ||||
\(211\) | −15.7187 | − | 16.8830i | −1.08212 | − | 1.16228i | −0.985972 | − | 0.166908i | \(-0.946622\pi\) |
−0.0961446 | − | 0.995367i | \(-0.530651\pi\) | |||||||
\(212\) | −1.21473 | + | 4.66048i | −0.0834279 | + | 0.320083i | ||||
\(213\) | −1.95456 | − | 0.0698072i | −0.133924 | − | 0.00478311i | ||||
\(214\) | 8.40025 | + | 19.4328i | 0.574229 | + | 1.32840i | ||||
\(215\) | 31.6261 | − | 13.1000i | 2.15688 | − | 0.893409i | ||||
\(216\) | −2.82807 | + | 16.6490i | −0.192425 | + | 1.13282i | ||||
\(217\) | −0.0573366 | + | 0.0168355i | −0.00389226 | + | 0.00114287i | ||||
\(218\) | −0.475097 | + | 2.88550i | −0.0321777 | + | 0.195431i | ||||
\(219\) | −6.97731 | − | 4.13983i | −0.471483 | − | 0.279744i | ||||
\(220\) | −9.01302 | + | 21.4510i | −0.607658 | + | 1.44622i | ||||
\(221\) | 6.21092 | + | 8.94542i | 0.417791 | + | 0.601734i | ||||
\(222\) | −8.54779 | − | 24.4271i | −0.573690 | − | 1.63944i | ||||
\(223\) | 11.5586 | + | 10.0156i | 0.774022 | + | 0.670694i | 0.949492 | − | 0.313791i | \(-0.101599\pi\) |
−0.175470 | + | 0.984485i | \(0.556145\pi\) | |||||||
\(224\) | 3.63952 | + | 1.63943i | 0.243176 | + | 0.109539i | ||||
\(225\) | −22.4697 | − | 30.0160i | −1.49798 | − | 2.00107i | ||||
\(226\) | 0.888920 | + | 1.57028i | 0.0591301 | + | 0.104453i | ||||
\(227\) | 7.72617 | − | 2.88171i | 0.512804 | − | 0.191266i | −0.0797223 | − | 0.996817i | \(-0.525403\pi\) |
0.592526 | + | 0.805551i | \(0.298131\pi\) | |||||||
\(228\) | −21.0045 | + | 22.3322i | −1.39106 | + | 1.47899i | ||||
\(229\) | 0.730514 | − | 4.04897i | 0.0482737 | − | 0.267563i | −0.950839 | − | 0.309687i | \(-0.899776\pi\) |
0.999112 | + | 0.0421233i | \(0.0134122\pi\) | |||||||
\(230\) | 3.09655 | − | 24.1576i | 0.204181 | − | 1.59291i | ||||
\(231\) | 3.98300 | − | 5.32067i | 0.262062 | − | 0.350074i | ||||
\(232\) | −0.473624 | + | 18.5996i | −0.0310949 | + | 1.22112i | ||||
\(233\) | −11.4875 | − | 11.4875i | −0.752570 | − | 0.752570i | 0.222388 | − | 0.974958i | \(-0.428615\pi\) |
−0.974958 | + | 0.222388i | \(0.928615\pi\) | |||||||
\(234\) | −40.2188 | + | 9.39632i | −2.62919 | + | 0.614257i | ||||
\(235\) | 9.41803 | − | 4.30107i | 0.614364 | − | 0.280571i | ||||
\(236\) | 9.13292 | − | 6.76480i | 0.594503 | − | 0.440351i | ||||
\(237\) | 6.25556 | + | 24.5090i | 0.406342 | + | 1.59203i | ||||
\(238\) | 1.71339 | − | 0.814415i | 0.111063 | − | 0.0527907i | ||||
\(239\) | 0.908659 | + | 25.4419i | 0.0587763 | + | 1.64570i | 0.596526 | + | 0.802594i | \(0.296547\pi\) |
−0.537750 | + | 0.843104i | \(0.680725\pi\) | |||||||
\(240\) | −12.2493 | − | 38.0886i | −0.790690 | − | 2.45861i | ||||
\(241\) | −2.02364 | − | 0.673533i | −0.130354 | − | 0.0433861i | 0.249876 | − | 0.968278i | \(-0.419610\pi\) |
−0.380231 | + | 0.924892i | \(0.624155\pi\) | |||||||
\(242\) | −0.0371269 | − | 0.0517625i | −0.00238661 | − | 0.00332742i | ||||
\(243\) | 12.4149 | − | 4.13207i | 0.796416 | − | 0.265073i | ||||
\(244\) | 11.9963 | + | 26.6247i | 0.767982 | + | 1.70447i | ||||
\(245\) | −22.6216 | + | 3.25249i | −1.44524 | + | 0.207794i | ||||
\(246\) | 5.91702 | − | 8.80701i | 0.377255 | − | 0.561514i | ||||
\(247\) | −28.9125 | − | 10.7838i | −1.83966 | − | 0.686157i | ||||
\(248\) | 0.152196 | + | 0.184955i | 0.00966447 | + | 0.0117446i | ||||
\(249\) | −17.7471 | + | 3.86064i | −1.12468 | + | 0.244658i | ||||
\(250\) | 10.5455 | + | 5.07825i | 0.666954 | + | 0.321177i | ||||
\(251\) | 0.652010 | − | 2.22054i | 0.0411545 | − | 0.140159i | −0.936353 | − | 0.351060i | \(-0.885821\pi\) |
0.977508 | + | 0.210900i | \(0.0676396\pi\) | |||||||
\(252\) | 0.476868 | + | 7.17907i | 0.0300398 | + | 0.452239i | ||||
\(253\) | −12.6272 | − | 10.1756i | −0.793864 | − | 0.639736i | ||||
\(254\) | −2.65610 | + | 0.0406779i | −0.166659 | + | 0.00255236i | ||||
\(255\) | −17.5675 | − | 7.27672i | −1.10012 | − | 0.455686i | ||||
\(256\) | 0.324618 | − | 15.9967i | 0.0202887 | − | 0.999794i | ||||
\(257\) | 5.23731 | + | 9.59141i | 0.326694 | + | 0.598296i | 0.988472 | − | 0.151404i | \(-0.0483796\pi\) |
−0.661778 | + | 0.749700i | \(0.730198\pi\) | |||||||
\(258\) | 20.5135 | + | 33.3974i | 1.27711 | + | 2.07923i | ||||
\(259\) | −2.45326 | − | 3.81734i | −0.152438 | − | 0.237198i | ||||
\(260\) | 30.5681 | − | 26.2171i | 1.89575 | − | 1.62591i | ||||
\(261\) | −29.9885 | + | 15.0112i | −1.85624 | + | 0.929168i | ||||
\(262\) | −8.21278 | + | 9.09656i | −0.507387 | + | 0.561987i | ||||
\(263\) | 1.38787 | − | 9.65284i | 0.0855797 | − | 0.595220i | −0.901231 | − | 0.433339i | \(-0.857335\pi\) |
0.986810 | − | 0.161880i | \(-0.0517558\pi\) | |||||||
\(264\) | −25.8791 | − | 6.32367i | −1.59275 | − | 0.389195i | ||||
\(265\) | 6.39684 | − | 5.54290i | 0.392955 | − | 0.340497i | ||||
\(266\) | −2.67187 | + | 4.66452i | −0.163823 | + | 0.286000i | ||||
\(267\) | 25.3620 | − | 8.80351i | 1.55213 | − | 0.538766i | ||||
\(268\) | −9.88236 | − | 16.8500i | −0.603661 | − | 1.02928i | ||||
\(269\) | 6.45687 | − | 5.59491i | 0.393682 | − | 0.341128i | −0.435417 | − | 0.900229i | \(-0.643399\pi\) |
0.829099 | + | 0.559101i | \(0.188854\pi\) | |||||||
\(270\) | 20.6624 | − | 21.3051i | 1.25747 | − | 1.29659i | ||||
\(271\) | 10.9592 | + | 1.57570i | 0.665726 | + | 0.0957169i | 0.466889 | − | 0.884316i | \(-0.345375\pi\) |
0.198836 | + | 0.980033i | \(0.436284\pi\) | |||||||
\(272\) | −5.69600 | − | 5.03769i | −0.345371 | − | 0.305455i | ||||
\(273\) | −10.2866 | + | 5.14908i | −0.622570 | + | 0.311636i | ||||
\(274\) | 9.01502 | − | 25.3491i | 0.544617 | − | 1.53140i | ||||
\(275\) | 20.4783 | − | 13.1606i | 1.23489 | − | 0.793613i | ||||
\(276\) | 27.8728 | − | 0.853940i | 1.67775 | − | 0.0514012i | ||||
\(277\) | −1.66636 | − | 3.05171i | −0.100122 | − | 0.183359i | 0.822817 | − | 0.568307i | \(-0.192401\pi\) |
−0.922938 | + | 0.384948i | \(0.874220\pi\) | |||||||
\(278\) | 13.9148 | + | 26.7661i | 0.834552 | + | 1.60533i | ||||
\(279\) | −0.165216 | + | 0.398868i | −0.00989125 | + | 0.0238796i | ||||
\(280\) | −3.64129 | − | 5.99627i | −0.217609 | − | 0.358345i | ||||
\(281\) | −13.7368 | − | 11.0698i | −0.819466 | − | 0.660368i | 0.123836 | − | 0.992303i | \(-0.460480\pi\) |
−0.943302 | + | 0.331935i | \(0.892298\pi\) | |||||||
\(282\) | 6.56103 | + | 9.87339i | 0.390704 | + | 0.587952i | ||||
\(283\) | 9.50136 | + | 2.78985i | 0.564797 | + | 0.165839i | 0.551652 | − | 0.834074i | \(-0.313998\pi\) |
0.0131449 | + | 0.999914i | \(0.495816\pi\) | |||||||
\(284\) | 0.778205 | + | 1.13305i | 0.0461780 | + | 0.0672343i | ||||
\(285\) | 52.6489 | − | 11.4531i | 3.11865 | − | 0.678422i | ||||
\(286\) | −4.22205 | − | 26.4798i | −0.249655 | − | 1.56578i | ||||
\(287\) | 0.650132 | − | 1.74307i | 0.0383761 | − | 0.102890i | ||||
\(288\) | 25.7217 | − | 13.0421i | 1.51567 | − | 0.768511i | ||||
\(289\) | 13.2498 | − | 1.90504i | 0.779402 | − | 0.112061i | ||||
\(290\) | 19.1924 | − | 26.4736i | 1.12702 | − | 1.55458i | ||||
\(291\) | 17.4236 | + | 52.3494i | 1.02139 | + | 3.06878i | ||||
\(292\) | 0.580742 | + | 5.67226i | 0.0339854 | + | 0.331944i | ||||
\(293\) | −19.9843 | − | 6.65140i | −1.16749 | − | 0.388579i | −0.334787 | − | 0.942294i | \(-0.608664\pi\) |
−0.832706 | + | 0.553715i | \(0.813210\pi\) | |||||||
\(294\) | −7.75577 | − | 24.9915i | −0.452326 | − | 1.45753i | ||||
\(295\) | −19.9615 | + | 0.712928i | −1.16220 | + | 0.0415083i | ||||
\(296\) | −10.2197 | + | 15.0458i | −0.594008 | + | 0.874517i | ||||
\(297\) | −4.88720 | − | 19.1478i | −0.283584 | − | 1.11107i | ||||
\(298\) | −17.3406 | − | 7.60045i | −1.00451 | − | 0.440283i | ||||
\(299\) | 11.6598 | + | 25.5314i | 0.674304 | + | 1.47652i | ||||
\(300\) | −11.9965 | + | 40.1025i | −0.692615 | + | 2.31532i | ||||
\(301\) | 4.85943 | + | 4.85943i | 0.280093 | + | 0.280093i | ||||
\(302\) | 2.87513 | − | 4.62812i | 0.165445 | − | 0.266318i | ||||
\(303\) | 4.74576 | + | 3.55263i | 0.272637 | + | 0.204093i | ||||
\(304\) | 21.3989 | + | 2.52047i | 1.22731 | + | 0.144559i | ||||
\(305\) | 9.11241 | − | 50.5067i | 0.521775 | − | 2.89201i | ||||
\(306\) | 3.18584 | − | 13.3307i | 0.182122 | − | 0.762064i | ||||
\(307\) | −3.65019 | − | 9.78655i | −0.208328 | − | 0.558548i | 0.790197 | − | 0.612853i | \(-0.209978\pi\) |
−0.998524 | + | 0.0543053i | \(0.982706\pi\) | |||||||
\(308\) | −4.67105 | − | 0.0236942i | −0.266158 | − | 0.00135010i | ||||
\(309\) | 31.1992 | + | 41.6772i | 1.77486 | + | 2.37093i | ||||
\(310\) | −0.0364567 | − | 0.419372i | −0.00207060 | − | 0.0238188i | ||||
\(311\) | 8.82071 | − | 10.1796i | 0.500176 | − | 0.577234i | −0.448380 | − | 0.893843i | \(-0.647999\pi\) |
0.948556 | + | 0.316609i | \(0.102544\pi\) | |||||||
\(312\) | 35.1540 | + | 29.8363i | 1.99020 | + | 1.68915i | ||||
\(313\) | 11.2065 | + | 16.1405i | 0.633431 | + | 0.912315i | 0.999835 | − | 0.0181413i | \(-0.00577486\pi\) |
−0.366404 | + | 0.930456i | \(0.619411\pi\) | |||||||
\(314\) | 3.08782 | + | 25.0984i | 0.174256 | + | 1.41638i | ||||
\(315\) | 6.45222 | − | 10.8746i | 0.363541 | − | 0.612716i | ||||
\(316\) | 11.2249 | − | 13.7855i | 0.631447 | − | 0.775494i | ||||
\(317\) | 30.8259 | − | 9.05129i | 1.73135 | − | 0.508371i | 0.744174 | − | 0.667986i | \(-0.232843\pi\) |
0.987179 | + | 0.159615i | \(0.0510253\pi\) | |||||||
\(318\) | 7.42048 | + | 6.23352i | 0.416120 | + | 0.349558i | ||||
\(319\) | −8.33189 | − | 20.1150i | −0.466497 | − | 1.12622i | ||||
\(320\) | −16.3867 | + | 22.8511i | −0.916045 | + | 1.27741i | ||||
\(321\) | 42.5731 | + | 1.52050i | 2.37620 | + | 0.0848662i | ||||
\(322\) | 4.71854 | − | 1.28161i | 0.262954 | − | 0.0714213i | ||||
\(323\) | 7.49481 | − | 6.97792i | 0.417023 | − | 0.388262i | ||||
\(324\) | 2.77700 | + | 1.94906i | 0.154278 | + | 0.108281i | ||||
\(325\) | −41.8901 | + | 4.50365i | −2.32364 | + | 0.249818i | ||||
\(326\) | −6.59377 | + | 23.7986i | −0.365195 | + | 1.31808i | ||||
\(327\) | 4.83361 | + | 3.35604i | 0.267299 | + | 0.185589i | ||||
\(328\) | −7.44903 | + | 0.342458i | −0.411304 | + | 0.0189091i | ||||
\(329\) | 1.52129 | + | 1.41637i | 0.0838716 | + | 0.0780872i | ||||
\(330\) | 31.1985 | + | 34.9102i | 1.71742 | + | 1.92174i | ||||
\(331\) | −2.09979 | + | 4.59790i | −0.115415 | + | 0.252724i | −0.958520 | − | 0.285025i | \(-0.907998\pi\) |
0.843105 | + | 0.537749i | \(0.180725\pi\) | |||||||
\(332\) | 9.60427 | + | 8.40782i | 0.527103 | + | 0.461439i | ||||
\(333\) | −32.5958 | − | 3.50442i | −1.78624 | − | 0.192041i | ||||
\(334\) | −5.51013 | + | 13.9010i | −0.301501 | + | 0.760628i | ||||
\(335\) | −2.44911 | + | 34.2430i | −0.133809 | + | 1.87090i | ||||
\(336\) | 6.12341 | − | 5.19815i | 0.334060 | − | 0.283582i | ||||
\(337\) | 11.8235 | − | 9.52799i | 0.644068 | − | 0.519023i | −0.249255 | − | 0.968438i | \(-0.580186\pi\) |
0.893323 | + | 0.449415i | \(0.148368\pi\) | |||||||
\(338\) | −8.44197 | + | 26.7230i | −0.459183 | + | 1.45354i | ||||
\(339\) | 3.62166 | − | 0.259027i | 0.196702 | − | 0.0140684i | ||||
\(340\) | 3.23926 | + | 12.9654i | 0.175674 | + | 0.703148i | ||||
\(341\) | −0.250644 | − | 0.125463i | −0.0135731 | − | 0.00679422i | ||||
\(342\) | 14.1278 | + | 36.1763i | 0.763944 | + | 1.95619i | ||||
\(343\) | −4.86167 | − | 8.19391i | −0.262506 | − | 0.442429i | ||||
\(344\) | 10.2803 | − | 25.5559i | 0.554274 | − | 1.37788i | ||||
\(345\) | −41.2284 | − | 26.4959i | −2.21966 | − | 1.42649i | ||||
\(346\) | 0.217248 | − | 10.6551i | 0.0116793 | − | 0.572822i | ||||
\(347\) | −0.450807 | + | 0.825591i | −0.0242006 | + | 0.0443200i | −0.889499 | − | 0.456936i | \(-0.848947\pi\) |
0.865299 | + | 0.501256i | \(0.167129\pi\) | |||||||
\(348\) | 33.3932 | + | 16.9278i | 1.79006 | + | 0.907425i | ||||
\(349\) | 3.76153 | − | 0.678655i | 0.201350 | − | 0.0363276i | −0.0759466 | − | 0.997112i | \(-0.524198\pi\) |
0.277297 | + | 0.960784i | \(0.410561\pi\) | |||||||
\(350\) | −0.411423 | + | 7.32787i | −0.0219915 | + | 0.391691i | ||||
\(351\) | −7.27038 | + | 33.4214i | −0.388064 | + | 1.78390i | ||||
\(352\) | 7.25437 | + | 17.2607i | 0.386659 | + | 0.920000i | ||||
\(353\) | −31.1172 | − | 7.94220i | −1.65620 | − | 0.422721i | −0.699699 | − | 0.714438i | \(-0.746683\pi\) |
−0.956505 | + | 0.291717i | \(0.905774\pi\) | |||||||
\(354\) | −4.40477 | − | 22.4416i | −0.234111 | − | 1.19276i | ||||
\(355\) | − | 2.41573i | − | 0.128214i | ||||||
\(356\) | −15.5813 | − | 10.6407i | −0.825805 | − | 0.563956i | ||||
\(357\) | − | 3.81739i | − | 0.202037i | ||||||
\(358\) | 14.8993 | − | 2.92439i | 0.787452 | − | 0.154559i | ||||
\(359\) | 27.4545 | + | 7.00735i | 1.44900 | + | 0.369834i | 0.888711 | − | 0.458467i | \(-0.151601\pi\) |
0.560284 | + | 0.828301i | \(0.310692\pi\) | |||||||
\(360\) | −50.2391 | − | 6.69890i | −2.64783 | − | 0.353063i | ||||
\(361\) | −2.12918 | + | 9.78768i | −0.112062 | + | 0.515141i | ||||
\(362\) | 5.16988 | + | 0.290263i | 0.271723 | + | 0.0152559i | ||||
\(363\) | −0.126143 | + | 0.0227587i | −0.00662080 | + | 0.00119452i | ||||
\(364\) | 7.21105 | + | 3.65545i | 0.377962 | + | 0.191598i | ||||
\(365\) | 4.80250 | − | 8.79511i | 0.251374 | − | 0.460357i | ||||
\(366\) | 58.7498 | + | 1.19785i | 3.07090 | + | 0.0626127i | ||||
\(367\) | −10.8640 | − | 6.98185i | −0.567095 | − | 0.364450i | 0.225458 | − | 0.974253i | \(-0.427612\pi\) |
−0.792553 | + | 0.609803i | \(0.791248\pi\) | |||||||
\(368\) | −12.1420 | − | 15.3842i | −0.632947 | − | 0.801957i | ||||
\(369\) | −6.85839 | − | 11.5592i | −0.357034 | − | 0.601748i | ||||
\(370\) | 29.7753 | − | 11.6280i | 1.54795 | − | 0.604513i | ||||
\(371\) | 1.51952 | + | 0.760615i | 0.0788893 | + | 0.0394892i | ||||
\(372\) | 0.467604 | − | 0.116826i | 0.0242442 | − | 0.00605713i | ||||
\(373\) | 9.52912 | − | 0.681536i | 0.493399 | − | 0.0352886i | 0.177577 | − | 0.984107i | \(-0.443174\pi\) |
0.315822 | + | 0.948818i | \(0.397720\pi\) | |||||||
\(374\) | 8.48503 | + | 2.68048i | 0.438750 | + | 0.138604i | ||||
\(375\) | 18.3387 | − | 14.7782i | 0.947004 | − | 0.763144i | ||||
\(376\) | 2.83147 | − | 7.83562i | 0.146022 | − | 0.404091i | ||||
\(377\) | −2.68827 | + | 37.5869i | −0.138453 | + | 1.93582i | ||||
\(378\) | 5.53898 | + | 2.19556i | 0.284894 | + | 0.112928i | ||||
\(379\) | −10.0253 | − | 1.07783i | −0.514963 | − | 0.0553643i | −0.154233 | − | 0.988034i | \(-0.549291\pi\) |
−0.360730 | + | 0.932670i | \(0.617473\pi\) | |||||||
\(380\) | −28.4923 | − | 24.9429i | −1.46162 | − | 1.27954i | ||||
\(381\) | −2.22052 | + | 4.86226i | −0.113761 | + | 0.249101i | ||||
\(382\) | −7.15196 | + | 6.39155i | −0.365926 | + | 0.327020i | ||||
\(383\) | 8.85498 | + | 8.24428i | 0.452468 | + | 0.421263i | 0.874281 | − | 0.485420i | \(-0.161333\pi\) |
−0.421813 | + | 0.906683i | \(0.638606\pi\) | |||||||
\(384\) | −28.7915 | − | 14.4085i | −1.46926 | − | 0.735283i | ||||
\(385\) | 6.74328 | + | 4.68194i | 0.343669 | + | 0.238614i | ||||
\(386\) | −19.6942 | − | 5.45660i | −1.00241 | − | 0.277733i | ||||
\(387\) | 49.3661 | − | 5.30740i | 2.50942 | − | 0.269790i | ||||
\(388\) | 22.2761 | − | 31.7389i | 1.13090 | − | 1.61130i | ||||
\(389\) | −24.1774 | + | 22.5100i | −1.22585 | + | 1.14130i | −0.240515 | + | 0.970646i | \(0.577316\pi\) |
−0.985331 | + | 0.170657i | \(0.945411\pi\) | |||||||
\(390\) | −21.2402 | − | 78.2008i | −1.07554 | − | 3.95985i | ||||
\(391\) | −9.30841 | − | 0.332451i | −0.470747 | − | 0.0168128i | ||||
\(392\) | −10.8697 | + | 14.8345i | −0.549005 | + | 0.749258i | ||||
\(393\) | 9.43729 | + | 22.7836i | 0.476048 | + | 1.14928i | ||||
\(394\) | −8.44450 | + | 10.0525i | −0.425428 | + | 0.506436i | ||||
\(395\) | −29.9775 | + | 8.80219i | −1.50833 | + | 0.442886i | ||||
\(396\) | −21.3087 | + | 26.1696i | −1.07080 | + | 1.31507i | ||||
\(397\) | −3.21391 | + | 5.41676i | −0.161302 | + | 0.271859i | −0.929855 | − | 0.367926i | \(-0.880068\pi\) |
0.768553 | + | 0.639786i | \(0.220977\pi\) | |||||||
\(398\) | 36.1651 | − | 4.44935i | 1.81279 | − | 0.223026i | ||||
\(399\) | 6.16908 | + | 8.88517i | 0.308841 | + | 0.444815i | ||||
\(400\) | 27.6666 | − | 10.0006i | 1.38333 | − | 0.500028i | ||||
\(401\) | −23.8432 | + | 27.5165i | −1.19067 | + | 1.37411i | −0.280511 | + | 0.959851i | \(0.590504\pi\) |
−0.910160 | + | 0.414257i | \(0.864042\pi\) | |||||||
\(402\) | −39.1595 | + | 3.40419i | −1.95310 | + | 0.169786i | ||||
\(403\) | 0.290723 | + | 0.388360i | 0.0144819 | + | 0.0193456i | ||||
\(404\) | 0.0211340 | − | 4.16634i | 0.00105145 | − | 0.207283i | ||||
\(405\) | −2.08370 | − | 5.58662i | −0.103540 | − | 0.277601i | ||||
\(406\) | 6.38466 | + | 1.52584i | 0.316866 | + | 0.0757263i | ||||
\(407\) | 3.77905 | − | 20.9459i | 0.187321 | − | 1.03825i | ||||
\(408\) | −14.0758 | + | 5.99998i | −0.696854 | + | 0.297044i | ||||
\(409\) | −4.41011 | − | 3.30137i | −0.218066 | − | 0.163242i | 0.484660 | − | 0.874702i | \(-0.338943\pi\) |
−0.702726 | + | 0.711460i | \(0.748034\pi\) | |||||||
\(410\) | 11.1320 | + | 6.91555i | 0.549770 | + | 0.341535i | ||||
\(411\) | −38.2812 | − | 38.2812i | −1.88827 | − | 1.88827i | ||||
\(412\) | 10.4863 | − | 35.0544i | 0.516624 | − | 1.72700i | ||||
\(413\) | −1.66580 | − | 3.64759i | −0.0819687 | − | 0.179486i | ||||
\(414\) | 14.1809 | − | 32.3541i | 0.696954 | − | 1.59012i | ||||
\(415\) | −5.54786 | − | 21.7363i | −0.272334 | − | 1.06699i | ||||
\(416\) | 2.14470 | − | 32.3346i | 0.105152 | − | 1.58533i | ||||
\(417\) | 60.6641 | − | 2.16662i | 2.97073 | − | 0.106100i | ||||
\(418\) | −24.0811 | + | 7.47327i | −1.17785 | + | 0.365529i | ||||
\(419\) | −31.2600 | − | 10.4043i | −1.52715 | − | 0.508285i | −0.576117 | − | 0.817367i | \(-0.695433\pi\) |
−0.951035 | + | 0.309082i | \(0.899978\pi\) | |||||||
\(420\) | −14.0429 | + | 1.43775i | −0.685224 | + | 0.0701552i | ||||
\(421\) | 6.40193 | + | 19.2347i | 0.312011 | + | 0.937444i | 0.980973 | + | 0.194146i | \(0.0621937\pi\) |
−0.668961 | + | 0.743297i | \(0.733261\pi\) | |||||||
\(422\) | 26.4119 | + | 19.1477i | 1.28571 | + | 0.932096i | ||||
\(423\) | 14.8643 | − | 2.13717i | 0.722728 | − | 0.103913i | ||||
\(424\) | 0.416299 | − | 6.79838i | 0.0202172 | − | 0.330158i | ||||
\(425\) | 4.88599 | − | 13.0999i | 0.237005 | − | 0.635436i | ||||
\(426\) | 2.73142 | − | 0.435509i | 0.132338 | − | 0.0211005i | ||||
\(427\) | 10.0678 | − | 2.19012i | 0.487216 | − | 0.105987i | ||||
\(428\) | −16.9504 | − | 24.6796i | −0.819331 | − | 1.19293i | ||||
\(429\) | −51.7708 | − | 15.2013i | −2.49952 | − | 0.733924i | ||||
\(430\) | −40.3205 | + | 26.7936i | −1.94443 | + | 1.29210i | ||||
\(431\) | −1.80245 | − | 1.45251i | −0.0868210 | − | 0.0699648i | 0.583083 | − | 0.812413i | \(-0.301846\pi\) |
−0.669904 | + | 0.742448i | \(0.733665\pi\) | |||||||
\(432\) | −0.610247 | − | 23.8747i | −0.0293605 | − | 1.14867i | ||||
\(433\) | −10.8286 | + | 26.1425i | −0.520389 | + | 1.25633i | 0.417274 | + | 0.908781i | \(0.362986\pi\) |
−0.937662 | + | 0.347548i | \(0.887014\pi\) | |||||||
\(434\) | 0.0749823 | − | 0.0389806i | 0.00359927 | − | 0.00187113i | ||||
\(435\) | −31.5331 | − | 57.7486i | −1.51190 | − | 2.76883i | ||||
\(436\) | −0.126645 | − | 4.13371i | −0.00606517 | − | 0.197969i | ||||
\(437\) | 22.2031 | − | 14.2691i | 1.06212 | − | 0.682582i | ||||
\(438\) | 10.8103 | + | 3.84450i | 0.516535 | + | 0.183698i | ||||
\(439\) | −11.2408 | + | 5.62676i | −0.536496 | + | 0.268551i | −0.695251 | − | 0.718767i | \(-0.744707\pi\) |
0.158755 | + | 0.987318i | \(0.449252\pi\) | |||||||
\(440\) | 6.66487 | − | 32.2232i | 0.317735 | − | 1.53618i | ||||
\(441\) | −32.8108 | − | 4.71748i | −1.56242 | − | 0.224642i | ||||
\(442\) | −11.0557 | − | 10.7221i | −0.525864 | − | 0.510000i | ||||
\(443\) | 17.8097 | − | 15.4322i | 0.846166 | − | 0.733207i | −0.119545 | − | 0.992829i | \(-0.538143\pi\) |
0.965710 | + | 0.259622i | \(0.0835980\pi\) | |||||||
\(444\) | 18.5155 | + | 31.5701i | 0.878709 | + | 1.49825i | ||||
\(445\) | 11.9849 | + | 30.9180i | 0.568140 | + | 1.46565i | ||||
\(446\) | −18.7683 | − | 10.7507i | −0.888707 | − | 0.509058i | ||||
\(447\) | −28.7923 | + | 24.9487i | −1.36183 | + | 1.18003i | ||||
\(448\) | −5.49724 | − | 1.28376i | −0.259720 | − | 0.0606521i | ||||
\(449\) | −3.76930 | + | 26.2160i | −0.177884 | + | 1.23721i | 0.683763 | + | 0.729704i | \(0.260342\pi\) |
−0.861647 | + | 0.507507i | \(0.830567\pi\) | |||||||
\(450\) | 39.3578 | + | 35.5340i | 1.85535 | + | 1.67509i | ||||
\(451\) | 7.80307 | − | 3.90594i | 0.367432 | − | 0.183924i | ||||
\(452\) | −1.66130 | − | 1.93701i | −0.0781410 | − | 0.0911092i | ||||
\(453\) | −5.92735 | − | 9.22313i | −0.278491 | − | 0.433340i | ||||
\(454\) | −9.93696 | + | 6.10351i | −0.466365 | + | 0.286452i | ||||
\(455\) | −6.80938 | − | 12.4704i | −0.319228 | − | 0.584623i | ||||
\(456\) | 23.0658 | − | 36.7124i | 1.08016 | − | 1.71922i | ||||
\(457\) | 29.9095 | + | 12.3889i | 1.39911 | + | 0.579530i | 0.949520 | − | 0.313706i | \(-0.101570\pi\) |
0.449589 | + | 0.893236i | \(0.351570\pi\) | |||||||
\(458\) | 0.0891001 | + | 5.81787i | 0.00416338 | + | 0.271851i | ||||
\(459\) | −8.83783 | − | 7.12197i | −0.412515 | − | 0.332425i | ||||
\(460\) | 2.28288 | + | 34.3678i | 0.106440 | + | 1.60241i | ||||
\(461\) | −4.22421 | + | 14.3863i | −0.196741 | + | 0.670039i | 0.800734 | + | 0.599020i | \(0.204443\pi\) |
−0.997475 | + | 0.0710185i | \(0.977375\pi\) | |||||||
\(462\) | −4.07810 | + | 8.46857i | −0.189731 | + | 0.393993i | ||||
\(463\) | −15.5271 | + | 3.37772i | −0.721606 | + | 0.156976i | −0.558347 | − | 0.829607i | \(-0.688564\pi\) |
−0.163259 | + | 0.986583i | \(0.552201\pi\) | |||||||
\(464\) | −4.40890 | − | 25.9403i | −0.204678 | − | 1.20425i | ||||
\(465\) | −0.793648 | − | 0.296015i | −0.0368045 | − | 0.0137274i | ||||
\(466\) | 19.0706 | + | 12.8126i | 0.883426 | + | 0.593533i | ||||
\(467\) | −23.3733 | + | 3.36058i | −1.08159 | + | 0.155509i | −0.659991 | − | 0.751274i | \(-0.729440\pi\) |
−0.421598 | + | 0.906783i | \(0.638531\pi\) | |||||||
\(468\) | 53.2537 | − | 23.9944i | 2.46165 | − | 1.10914i | ||||
\(469\) | −6.53938 | + | 2.17651i | −0.301961 | + | 0.100502i | ||||
\(470\) | −11.8982 | + | 8.53403i | −0.548823 | + | 0.393646i | ||||
\(471\) | 48.2805 | + | 16.0693i | 2.22465 | + | 0.740433i | ||||
\(472\) | −10.8315 | + | 11.8754i | −0.498559 | + | 0.546609i | ||||
\(473\) | 1.15052 | + | 32.2139i | 0.0529011 | + | 1.48120i | ||||
\(474\) | −15.3568 | − | 32.3082i | −0.705363 | − | 1.48396i | ||||
\(475\) | 9.79760 | + | 38.3866i | 0.449545 | + | 1.76130i | ||||
\(476\) | −2.15590 | + | 1.59689i | −0.0988155 | + | 0.0731932i | ||||
\(477\) | 11.1673 | − | 5.09993i | 0.511315 | − | 0.233510i | ||||
\(478\) | −8.19085 | − | 35.0591i | −0.374641 | − | 1.60357i | ||||
\(479\) | −15.1568 | − | 15.1568i | −0.692531 | − | 0.692531i | 0.270257 | − | 0.962788i | \(-0.412891\pi\) |
−0.962788 | + | 0.270257i | \(0.912891\pi\) | |||||||
\(480\) | 27.3734 | + | 49.5204i | 1.24942 | + | 2.26029i | ||||
\(481\) | −22.0761 | + | 29.4903i | −1.00659 | + | 1.34464i | ||||
\(482\) | 2.99174 | + | 0.383484i | 0.136270 | + | 0.0174672i | ||||
\(483\) | 1.74690 | − | 9.68243i | 0.0794868 | − | 0.440566i | ||||
\(484\) | 0.0656214 | + | 0.0617200i | 0.00298279 | + | 0.00280545i | ||||
\(485\) | −63.8506 | + | 23.8150i | −2.89931 | + | 1.08139i | ||||
\(486\) | −16.1031 | + | 9.11580i | −0.730451 | + | 0.413501i | ||||
\(487\) | 18.5426 | + | 24.7700i | 0.840244 | + | 1.12243i | 0.991000 | + | 0.133863i | \(0.0427383\pi\) |
−0.150756 | + | 0.988571i | \(0.548171\pi\) | |||||||
\(488\) | −23.8997 | − | 33.6805i | −1.08189 | − | 1.52465i | ||||
\(489\) | 37.5548 | + | 32.5415i | 1.69829 | + | 1.47158i | ||||
\(490\) | 30.5069 | − | 10.6753i | 1.37816 | − | 0.482260i | ||||
\(491\) | 3.30692 | + | 4.76286i | 0.149239 | + | 0.214945i | 0.888979 | − | 0.457948i | \(-0.151415\pi\) |
−0.739740 | + | 0.672893i | \(0.765052\pi\) | |||||||
\(492\) | −5.81240 | + | 13.8335i | −0.262043 | + | 0.623661i | ||||
\(493\) | −10.7546 | − | 6.38099i | −0.484362 | − | 0.287385i | ||||
\(494\) | 43.0602 | + | 7.08986i | 1.93737 | + | 0.318988i | ||||
\(495\) | 56.9077 | − | 16.7096i | 2.55781 | − | 0.751041i | ||||
\(496\) | −0.261586 | − | 0.215213i | −0.0117456 | − | 0.00966334i | ||||
\(497\) | 0.448058 | − | 0.185592i | 0.0200981 | − | 0.00832492i | ||||
\(498\) | 23.5767 | − | 10.1915i | 1.05650 | − | 0.456692i | ||||
\(499\) | −27.1665 | − | 0.970252i | −1.21614 | − | 0.0434345i | −0.579744 | − | 0.814799i | \(-0.696847\pi\) |
−0.636394 | + | 0.771364i | \(0.719575\pi\) | |||||||
\(500\) | −16.0175 | − | 4.17489i | −0.716326 | − | 0.186707i | ||||
\(501\) | 20.5034 | + | 22.0222i | 0.916023 | + | 0.983878i | ||||
\(502\) | −0.299985 | + | 3.25912i | −0.0133890 | + | 0.145462i | ||||
\(503\) | 22.7385 | − | 2.44464i | 1.01386 | − | 0.109001i | 0.414972 | − | 0.909834i | \(-0.363791\pi\) |
0.598888 | + | 0.800833i | \(0.295609\pi\) | |||||||
\(504\) | −2.61720 | − | 9.83275i | −0.116580 | − | 0.437986i | ||||
\(505\) | −4.17605 | + | 6.01465i | −0.185832 | + | 0.267649i | ||||
\(506\) | 20.2948 | + | 10.6817i | 0.902215 | + | 0.474858i | ||||
\(507\) | 41.2730 | + | 38.4266i | 1.83300 | + | 1.70658i | ||||
\(508\) | 3.67489 | − | 0.779921i | 0.163047 | − | 0.0346034i | ||||
\(509\) | −20.8461 | − | 9.52011i | −0.923988 | − | 0.421971i | −0.104147 | − | 0.994562i | \(-0.533211\pi\) |
−0.819841 | + | 0.572591i | \(0.805938\pi\) | |||||||
\(510\) | 26.3611 | + | 5.31310i | 1.16729 | + | 0.235268i | ||||
\(511\) | 2.00023 | + | 0.215047i | 0.0884851 | + | 0.00951313i | ||||
\(512\) | 3.90671 | + | 22.2876i | 0.172654 | + | 0.984983i | ||||
\(513\) | 32.0800 | + | 2.29441i | 1.41637 | + | 0.101300i | ||||
\(514\) | −9.88051 | − | 11.8838i | −0.435810 | − | 0.524172i | ||||
\(515\) | −50.0698 | + | 40.3488i | −2.20634 | + | 1.77798i | ||||
\(516\) | −37.5640 | − | 40.7592i | −1.65366 | − | 1.79433i | ||||
\(517\) | 0.695525 | + | 9.72471i | 0.0305892 | + | 0.427692i | ||||
\(518\) | 4.44424 | + | 4.62924i | 0.195269 | + | 0.203397i | ||||
\(519\) | −19.1766 | − | 9.59913i | −0.841760 | − | 0.421355i | ||||
\(520\) | −35.2793 | + | 44.7085i | −1.54710 | + | 1.96060i | ||||
\(521\) | 2.32723 | − | 1.38081i | 0.101958 | − | 0.0604945i | −0.458394 | − | 0.888749i | \(-0.651575\pi\) |
0.560352 | + | 0.828255i | \(0.310666\pi\) | |||||||
\(522\) | 37.5273 | − | 28.9998i | 1.64253 | − | 1.26929i | ||||
\(523\) | −27.4578 | − | 17.6460i | −1.20064 | − | 0.771607i | −0.221577 | − | 0.975143i | \(-0.571120\pi\) |
−0.979068 | + | 0.203536i | \(0.934757\pi\) | |||||||
\(524\) | 8.91944 | − | 14.8606i | 0.389648 | − | 0.649189i | ||||
\(525\) | 12.9620 | + | 7.07781i | 0.565710 | + | 0.308901i | ||||
\(526\) | 0.703252 | + | 13.7736i | 0.0306632 | + | 0.600558i | ||||
\(527\) | −0.158430 | + | 0.0285840i | −0.00690133 | + | 0.00124514i | ||||
\(528\) | 37.6357 | + | 1.72662i | 1.63789 | + | 0.0751414i | ||||
\(529\) | −0.983388 | − | 0.213923i | −0.0427560 | − | 0.00930100i | ||||
\(530\) | −7.36735 | + | 9.43445i | −0.320017 | + | 0.409806i | ||||
\(531\) | −28.0711 | − | 7.16473i | −1.21818 | − | 0.310923i | ||||
\(532\) | 2.43732 | − | 7.20088i | 0.105671 | − | 0.312198i | ||||
\(533\) | −15.1029 | −0.654178 | ||||||||
\(534\) | −32.7978 | + | 19.1251i | −1.41930 | + | 0.827622i | ||||
\(535\) | 52.6182i | 2.27488i | ||||||||
\(536\) | 18.3037 | + | 20.6916i | 0.790600 | + | 0.893740i | ||||
\(537\) | 7.55590 | − | 29.6037i | 0.326061 | − | 1.27749i | ||||
\(538\) | −7.43648 | + | 9.52298i | −0.320609 | + | 0.410565i | ||||
\(539\) | 4.57456 | − | 21.0289i | 0.197040 | − | 0.905779i | ||||
\(540\) | −22.8708 | + | 35.1939i | −0.984203 | + | 1.51450i | ||||
\(541\) | −2.14448 | − | 11.8860i | −0.0921984 | − | 0.511021i | −0.996462 | − | 0.0840463i | \(-0.973216\pi\) |
0.904263 | − | 0.426975i | \(-0.140421\pi\) | |||||||
\(542\) | −15.6377 | + | 0.798428i | −0.671697 | + | 0.0342954i | ||||
\(543\) | 4.99346 | − | 9.14485i | 0.214290 | − | 0.392443i | ||||
\(544\) | 9.27671 | + | 5.43949i | 0.397735 | + | 0.233216i | ||||
\(545\) | −3.92951 | + | 6.11443i | −0.168322 | + | 0.261913i | ||||
\(546\) | 12.8725 | − | 9.94742i | 0.550892 | − | 0.425710i | ||||
\(547\) | 11.4347 | + | 19.2722i | 0.488912 | + | 0.824018i | 0.999356 | − | 0.0358937i | \(-0.0114278\pi\) |
−0.510443 | + | 0.859911i | \(0.670519\pi\) | |||||||
\(548\) | −5.60585 | + | 37.6334i | −0.239470 | + | 1.60762i | ||||
\(549\) | 33.3200 | − | 66.5650i | 1.42206 | − | 2.84092i | ||||
\(550\) | −24.8337 | + | 23.8413i | −1.05891 | + | 1.01660i | ||||
\(551\) | 35.3439 | − | 2.52784i | 1.50570 | − | 0.107690i | ||||
\(552\) | −38.4475 | + | 8.77707i | −1.63644 | + | 0.373577i | ||||
\(553\) | −3.93565 | − | 4.88384i | −0.167361 | − | 0.207682i | ||||
\(554\) | 3.14369 | + | 3.78108i | 0.133563 | + | 0.160643i | ||||
\(555\) | 4.58864 | − | 64.1575i | 0.194777 | − | 2.72334i | ||||
\(556\) | −26.6006 | − | 33.3542i | −1.12812 | − | 1.41453i | ||||
\(557\) | −0.961256 | + | 8.94099i | −0.0407297 | + | 0.378842i | 0.955695 | + | 0.294358i | \(0.0951059\pi\) |
−0.996425 | + | 0.0844837i | \(0.973076\pi\) | |||||||
\(558\) | 0.120633 | − | 0.598524i | 0.00510679 | − | 0.0253376i | ||||
\(559\) | 23.1763 | − | 50.7489i | 0.980251 | − | 2.14645i | ||||
\(560\) | 6.68641 | + | 7.32941i | 0.282552 | + | 0.309724i | ||||
\(561\) | 12.2011 | − | 13.1049i | 0.515132 | − | 0.553291i | ||||
\(562\) | 22.0782 | + | 11.6203i | 0.931311 | + | 0.490172i | ||||
\(563\) | 0.392504 | + | 0.272520i | 0.0165421 | + | 0.0114854i | 0.578565 | − | 0.815636i | \(-0.303613\pi\) |
−0.562023 | + | 0.827122i | \(0.689977\pi\) | |||||||
\(564\) | −11.7943 | − | 11.9146i | −0.496629 | − | 0.501693i | ||||
\(565\) | 0.479399 | + | 4.45907i | 0.0201685 | + | 0.187594i | ||||
\(566\) | −13.9453 | − | 1.28359i | −0.586164 | − | 0.0539532i | ||||
\(567\) | 0.876095 | − | 0.815674i | 0.0367926 | − | 0.0342551i | ||||
\(568\) | −1.38856 | − | 1.36041i | −0.0582628 | − | 0.0570815i | ||||
\(569\) | −0.940679 | + | 26.3384i | −0.0394353 | + | 1.10416i | 0.813308 | + | 0.581833i | \(0.197664\pi\) |
−0.852743 | + | 0.522330i | \(0.825063\pi\) | |||||||
\(570\) | −69.9432 | + | 30.2344i | −2.92960 | + | 1.26638i | ||||
\(571\) | 6.05428 | + | 14.6163i | 0.253364 | + | 0.611675i | 0.998471 | − | 0.0552697i | \(-0.0176019\pi\) |
−0.745108 | + | 0.666944i | \(0.767602\pi\) | |||||||
\(572\) | 13.0717 | + | 35.5970i | 0.546554 | + | 1.48838i | ||||
\(573\) | 5.43768 | + | 18.5190i | 0.227162 | + | 0.773643i | ||||
\(574\) | −0.427432 | + | 2.59600i | −0.0178407 | + | 0.108355i | ||||
\(575\) | 18.3876 | − | 30.9906i | 0.766815 | − | 1.29240i | ||||
\(576\) | −32.1425 | + | 25.1050i | −1.33927 | + | 1.04604i | ||||
\(577\) | 25.0986 | − | 17.4263i | 1.04487 | − | 0.725465i | 0.0823287 | − | 0.996605i | \(-0.473764\pi\) |
0.962540 | + | 0.271140i | \(0.0874006\pi\) | |||||||
\(578\) | −17.8684 | + | 6.25269i | −0.743226 | + | 0.260077i | ||||
\(579\) | −26.9293 | + | 31.0781i | −1.11914 | + | 1.29156i | ||||
\(580\) | −19.4231 | + | 41.9659i | −0.806499 | + | 1.74254i | ||||
\(581\) | 3.60532 | − | 2.69891i | 0.149574 | − | 0.111970i | ||||
\(582\) | −38.4383 | − | 67.9013i | −1.59332 | − | 2.81460i | ||||
\(583\) | 2.78536 | + | 7.46783i | 0.115358 | + | 0.309286i | ||||
\(584\) | −2.35093 | − | 7.71342i | −0.0972822 | − | 0.319184i | ||||
\(585\) | −101.021 | − | 18.2263i | −4.17672 | − | 0.753564i | ||||
\(586\) | 29.5446 | + | 3.78706i | 1.22048 | + | 0.156442i | ||||
\(587\) | 4.81904 | + | 3.60749i | 0.198903 | + | 0.148897i | 0.694087 | − | 0.719891i | \(-0.255808\pi\) |
−0.495184 | + | 0.868788i | \(0.664899\pi\) | |||||||
\(588\) | 17.5702 | + | 32.5690i | 0.724581 | + | 1.34312i | ||||
\(589\) | 0.322562 | − | 0.322562i | 0.0132909 | − | 0.0132909i | ||||
\(590\) | 27.5071 | − | 6.42649i | 1.13245 | − | 0.264574i | ||||
\(591\) | 10.9744 | + | 24.0305i | 0.451425 | + | 0.988483i | ||||
\(592\) | 10.0841 | − | 23.6632i | 0.414452 | − | 0.972551i | ||||
\(593\) | 26.8225 | − | 6.84603i | 1.10147 | − | 0.281133i | 0.347260 | − | 0.937769i | \(-0.387112\pi\) |
0.754207 | + | 0.656636i | \(0.228021\pi\) | |||||||
\(594\) | 11.9976 | + | 25.2410i | 0.492269 | + | 1.03565i | ||||
\(595\) | 4.71208 | − | 0.168292i | 0.193176 | − | 0.00689931i | ||||
\(596\) | 26.1344 | + | 5.82418i | 1.07051 | + | 0.238568i | ||||
\(597\) | 23.1548 | − | 69.5690i | 0.947662 | − | 2.84727i | ||||
\(598\) | −23.1350 | − | 32.2549i | −0.946060 | − | 1.31900i | ||||
\(599\) | −12.6510 | − | 38.0101i | −0.516904 | − | 1.55305i | −0.803687 | − | 0.595053i | \(-0.797131\pi\) |
0.286782 | − | 0.957996i | \(-0.407414\pi\) | |||||||
\(600\) | 5.72475 | − | 58.9193i | 0.233712 | − | 2.40537i | ||||
\(601\) | 1.84397 | + | 12.8251i | 0.0752170 | + | 0.523146i | 0.992243 | + | 0.124317i | \(0.0396741\pi\) |
−0.917026 | + | 0.398829i | \(0.869417\pi\) | |||||||
\(602\) | −8.06722 | − | 5.41999i | −0.328795 | − | 0.220902i | ||||
\(603\) | −17.4011 | + | 46.6541i | −0.708627 | + | 1.89990i | ||||
\(604\) | −2.72931 | + | 7.20573i | −0.111054 | + | 0.293197i | ||||
\(605\) | −0.0336539 | − | 0.154705i | −0.00136823 | − | 0.00628963i | ||||
\(606\) | −7.55352 | − | 3.63746i | −0.306841 | − | 0.147762i | ||||
\(607\) | −5.41170 | − | 1.58902i | −0.219654 | − | 0.0644963i | 0.170054 | − | 0.985435i | \(-0.445606\pi\) |
−0.389708 | + | 0.920938i | \(0.627424\pi\) | |||||||
\(608\) | −30.3825 | + | 2.33090i | −1.23217 | + | 0.0945305i | ||||
\(609\) | 8.28835 | − | 10.2852i | 0.335861 | − | 0.416778i | ||||
\(610\) | 1.11143 | + | 72.5720i | 0.0450006 | + | 2.93835i | ||||
\(611\) | 6.45751 | − | 15.5898i | 0.261243 | − | 0.630696i | ||||
\(612\) | −0.790086 | + | 19.3672i | −0.0319373 | + | 0.782873i | ||||
\(613\) | 17.4673 | − | 9.53789i | 0.705500 | − | 0.385232i | −0.0860881 | − | 0.996288i | \(-0.527437\pi\) |
0.791588 | + | 0.611056i | \(0.209255\pi\) | |||||||
\(614\) | 7.73117 | + | 12.5869i | 0.312005 | + | 0.507966i | ||||
\(615\) | 22.1844 | − | 14.2570i | 0.894560 | − | 0.574899i | ||||
\(616\) | 6.48864 | − | 1.23942i | 0.261435 | − | 0.0499378i | ||||
\(617\) | −8.81578 | − | 17.6117i | −0.354910 | − | 0.709020i | 0.643497 | − | 0.765449i | \(-0.277483\pi\) |
−0.998407 | + | 0.0564291i | \(0.982029\pi\) | |||||||
\(618\) | −54.6482 | − | 49.3389i | −2.19827 | − | 1.98470i | ||||
\(619\) | 29.3534 | + | 4.22039i | 1.17981 | + | 0.169632i | 0.704187 | − | 0.710015i | \(-0.251312\pi\) |
0.475628 | + | 0.879647i | \(0.342221\pi\) | |||||||
\(620\) | 0.164821 | + | 0.572048i | 0.00661938 | + | 0.0229740i | ||||
\(621\) | −19.1572 | − | 22.1085i | −0.768751 | − | 0.887185i | ||||
\(622\) | −9.46807 | + | 16.5292i | −0.379635 | + | 0.662762i | ||||
\(623\) | −4.81377 | + | 4.59822i | −0.192859 | + | 0.184224i | ||||
\(624\) | −56.9113 | − | 31.8296i | −2.27827 | − | 1.27420i | ||||
\(625\) | −5.03099 | − | 5.80607i | −0.201239 | − | 0.232243i | ||||
\(626\) | −19.9481 | − | 19.3463i | −0.797285 | − | 0.773233i | ||||
\(627\) | −7.22055 | + | 50.2200i | −0.288361 | + | 2.00560i | ||||
\(628\) | −11.1214 | − | 33.9889i | −0.443792 | − | 1.35630i | ||||
\(629\) | −5.47199 | − | 10.9316i | −0.218182 | − | 0.435873i | ||||
\(630\) | −5.99193 | + | 16.8486i | −0.238724 | + | 0.671263i | ||||
\(631\) | −5.36231 | − | 8.34391i | −0.213470 | − | 0.332166i | 0.717961 | − | 0.696083i | \(-0.245075\pi\) |
−0.931431 | + | 0.363917i | \(0.881439\pi\) | |||||||
\(632\) | −11.8222 | + | 22.1880i | −0.470263 | + | 0.882592i | ||||
\(633\) | 57.6142 | − | 31.4597i | 2.28996 | − | 1.25041i | ||||
\(634\) | −40.3127 | + | 20.9572i | −1.60102 | + | 0.832315i | ||||
\(635\) | −6.09974 | − | 2.52659i | −0.242061 | − | 0.100265i | ||||
\(636\) | −11.9955 | − | 6.62928i | −0.475654 | − | 0.262868i | ||||
\(637\) | −23.3717 | + | 29.0025i | −0.926019 | + | 1.14912i | ||||
\(638\) | 17.0414 | + | 25.6448i | 0.674675 | + | 1.01529i | ||||
\(639\) | 0.987141 | − | 3.36189i | 0.0390507 | − | 0.132994i | ||||
\(640\) | 16.5162 | − | 36.1747i | 0.652861 | − | 1.42993i | ||||
\(641\) | −5.31004 | − | 24.4099i | −0.209734 | − | 0.964132i | −0.954825 | − | 0.297169i | \(-0.903958\pi\) |
0.745091 | − | 0.666963i | \(-0.232406\pi\) | |||||||
\(642\) | −59.4944 | + | 9.48604i | −2.34806 | + | 0.374384i | ||||
\(643\) | −4.08993 | − | 1.52546i | −0.161291 | − | 0.0601584i | 0.267522 | − | 0.963552i | \(-0.413795\pi\) |
−0.428813 | + | 0.903393i | \(0.641068\pi\) | |||||||
\(644\) | −6.19900 | + | 3.06377i | −0.244275 | + | 0.120730i | ||||
\(645\) | 13.8635 | + | 96.4226i | 0.545874 | + | 3.79663i | ||||
\(646\) | −8.50017 | + | 11.7249i | −0.334435 | + | 0.461312i | ||||
\(647\) | −19.3259 | + | 6.43227i | −0.759778 | + | 0.252879i | −0.669272 | − | 0.743017i | \(-0.733394\pi\) |
−0.0905062 | + | 0.995896i | \(0.528849\pi\) | |||||||
\(648\) | −4.38462 | − | 1.94837i | −0.172244 | − | 0.0765393i | ||||
\(649\) | 5.93981 | − | 17.8463i | 0.233158 | − | 0.700527i | ||||
\(650\) | 56.9057 | − | 17.6599i | 2.23202 | − | 0.692679i | ||||
\(651\) | −0.00606955 | − | 0.169944i | −0.000237884 | − | 0.00666062i | ||||
\(652\) | 2.66813 | − | 34.8221i | 0.104492 | − | 1.36374i | ||||
\(653\) | 17.8677 | − | 4.56046i | 0.699217 | − | 0.178464i | 0.118961 | − | 0.992899i | \(-0.462044\pi\) |
0.580255 | + | 0.814435i | \(0.302953\pi\) | |||||||
\(654\) | −7.62189 | − | 3.34071i | −0.298039 | − | 0.130632i | ||||
\(655\) | −27.7075 | + | 12.6536i | −1.08262 | + | 0.494416i | ||||
\(656\) | 10.2440 | − | 2.50421i | 0.399961 | − | 0.0977731i | ||||
\(657\) | 10.2774 | − | 10.2774i | 0.400961 | − | 0.400961i | ||||
\(658\) | −2.49694 | − | 1.55118i | −0.0973410 | − | 0.0604713i | ||||
\(659\) | 11.8851 | − | 15.8766i | 0.462977 | − | 0.618465i | −0.506916 | − | 0.861995i | \(-0.669215\pi\) |
0.969893 | + | 0.243531i | \(0.0783056\pi\) | |||||||
\(660\) | −52.8041 | − | 39.9482i | −2.05540 | − | 1.55498i | ||||
\(661\) | −27.5853 | − | 4.97693i | −1.07294 | − | 0.193580i | −0.387619 | − | 0.921819i | \(-0.626703\pi\) |
−0.685323 | + | 0.728239i | \(0.740339\pi\) | |||||||
\(662\) | 1.66157 | − | 6.95261i | 0.0645789 | − | 0.270221i | ||||
\(663\) | −29.0364 | + | 10.8300i | −1.12768 | + | 0.420603i | ||||
\(664\) | −15.6183 | − | 9.05181i | −0.606108 | − | 0.351279i | ||||
\(665\) | −10.6956 | + | 8.00666i | −0.414759 | + | 0.310485i | ||||
\(666\) | 46.1889 | − | 4.01528i | 1.78979 | − | 0.155589i | ||||
\(667\) | −24.3579 | − | 21.1063i | −0.943142 | − | 0.817237i | ||||
\(668\) | 3.86024 | − | 20.7917i | 0.149357 | − | 0.804457i | ||||
\(669\) | −35.7508 | + | 24.8222i | −1.38220 | + | 0.959681i | ||||
\(670\) | −5.92842 | − | 48.1873i | −0.229035 | − | 1.86164i | ||||
\(671\) | 41.5624 | + | 24.6601i | 1.60450 | + | 0.951994i | ||||
\(672\) | −7.08180 | + | 8.88155i | −0.273186 | + | 0.342613i | ||||
\(673\) | 8.02023 | + | 27.3144i | 0.309157 | + | 1.05289i | 0.956751 | + | 0.290907i | \(0.0939571\pi\) |
−0.647594 | + | 0.761986i | \(0.724225\pi\) | |||||||
\(674\) | −13.8127 | + | 16.4428i | −0.532044 | + | 0.633354i | ||||
\(675\) | 40.5691 | − | 16.8043i | 1.56151 | − | 0.646797i | ||||
\(676\) | 4.43640 | − | 39.3839i | 0.170631 | − | 1.51476i | ||||
\(677\) | 0.899565 | − | 25.1872i | 0.0345731 | − | 0.968024i | −0.857047 | − | 0.515239i | \(-0.827703\pi\) |
0.891620 | − | 0.452785i | \(-0.149570\pi\) | |||||||
\(678\) | −4.95536 | + | 1.34593i | −0.190309 | + | 0.0516902i | ||||
\(679\) | −9.32250 | − | 10.0131i | −0.357765 | − | 0.384266i | ||||
\(680\) | −8.02676 | − | 17.1102i | −0.307812 | − | 0.656148i | ||||
\(681\) | 2.50841 | + | 23.3316i | 0.0961223 | + | 0.894068i | ||||
\(682\) | 0.382001 | + | 0.105839i | 0.0146276 | + | 0.00405280i | ||||
\(683\) | 12.2027 | − | 17.5752i | 0.466921 | − | 0.672495i | −0.515986 | − | 0.856597i | \(-0.672574\pi\) |
0.982907 | + | 0.184102i | \(0.0589378\pi\) | |||||||
\(684\) | −29.4594 | − | 46.3550i | −1.12641 | − | 1.77243i | ||||
\(685\) | 45.5656 | − | 48.9409i | 1.74097 | − | 1.86994i | ||||
\(686\) | 8.97857 | + | 10.0468i | 0.342804 | + | 0.383587i | ||||
\(687\) | 10.6502 | + | 4.86378i | 0.406330 | + | 0.185565i | ||||
\(688\) | −7.30534 | + | 38.2650i | −0.278514 | + | 1.45884i | ||||
\(689\) | 1.47461 | − | 13.7159i | 0.0561781 | − | 0.522533i | ||||
\(690\) | 64.4311 | + | 25.5395i | 2.45285 | + | 0.972271i | ||||
\(691\) | 14.3931 | + | 1.02941i | 0.547538 | + | 0.0391607i | 0.342369 | − | 0.939566i | \(-0.388771\pi\) |
0.205170 | + | 0.978726i | \(0.434225\pi\) | |||||||
\(692\) | 2.60076 | + | 14.8456i | 0.0988662 | + | 0.564347i | ||||
\(693\) | 7.47122 | + | 9.27122i | 0.283808 | + | 0.352185i | ||||
\(694\) | 0.400725 | − | 1.26849i | 0.0152113 | − | 0.0481513i | ||||
\(695\) | 5.34884 | + | 74.7866i | 0.202893 | + | 2.83682i | ||||
\(696\) | −50.9517 | − | 14.3956i | −1.93132 | − | 0.545666i | ||||
\(697\) | 2.24341 | − | 4.48177i | 0.0849754 | − | 0.169759i | ||||
\(698\) | −5.03516 | + | 1.96636i | −0.190583 | + | 0.0744279i | ||||
\(699\) | 39.7592 | − | 23.5902i | 1.50383 | − | 0.892264i | ||||
\(700\) | −1.42502 | − | 10.2812i | −0.0538608 | − | 0.388593i | ||||
\(701\) | 8.71820 | − | 13.5658i | 0.329282 | − | 0.512373i | −0.636656 | − | 0.771148i | \(-0.719683\pi\) |
0.965937 | + | 0.258776i | \(0.0833191\pi\) | |||||||
\(702\) | 0.986021 | − | 48.3604i | 0.0372150 | − | 1.82524i | ||||
\(703\) | 30.4024 | + | 16.6010i | 1.14665 | + | 0.626117i | ||||
\(704\) | −14.7686 | − | 21.9774i | −0.556614 | − | 0.828303i | ||||
\(705\) | 5.23136 | + | 28.9955i | 0.197024 | + | 1.09203i | ||||
\(706\) | 45.3458 | + | 2.54594i | 1.70661 | + | 0.0958177i | ||||
\(707\) | −1.43640 | − | 0.312470i | −0.0540213 | − | 0.0117516i | ||||
\(708\) | 12.2253 | + | 29.9432i | 0.459455 | + | 1.12534i | ||||
\(709\) | −12.8116 | + | 50.1952i | −0.481148 | + | 1.88512i | −0.0160319 | + | 0.999871i | \(0.505103\pi\) |
−0.465117 | + | 0.885249i | \(0.653988\pi\) | |||||||
\(710\) | 0.657998 | + | 3.35239i | 0.0246942 | + | 0.125813i | ||||
\(711\) | −45.3156 | −1.69947 | ||||||||
\(712\) | 24.5210 | + | 10.5224i | 0.918962 | + | 0.394345i | ||||
\(713\) | −0.414924 | −0.0155390 | ||||||||
\(714\) | 1.03978 | + | 5.29752i | 0.0389129 | + | 0.198255i | ||||
\(715\) | 16.4817 | − | 64.5746i | 0.616380 | − | 2.41495i | ||||
\(716\) | −19.8797 | + | 8.11655i | −0.742940 | + | 0.303330i | ||||
\(717\) | −70.7909 | − | 15.3996i | −2.64374 | − | 0.575109i | ||||
\(718\) | −40.0083 | − | 2.24627i | −1.49310 | − | 0.0838299i | ||||
\(719\) | 5.53565 | + | 30.6821i | 0.206445 | + | 1.14425i | 0.903940 | + | 0.427658i | \(0.140661\pi\) |
−0.697496 | + | 0.716589i | \(0.745702\pi\) | |||||||
\(720\) | 71.5432 | − | 4.38785i | 2.66626 | − | 0.163526i | ||||
\(721\) | −11.3304 | − | 6.18685i | −0.421965 | − | 0.230410i | ||||
\(722\) | 0.288763 | − | 14.1627i | 0.0107466 | − | 0.527079i | ||||
\(723\) | 3.28131 | − | 5.10582i | 0.122033 | − | 0.189888i | ||||
\(724\) | −7.25349 | + | 1.00537i | −0.269574 | + | 0.0373642i | ||||
\(725\) | 41.6069 | − | 24.6865i | 1.54524 | − | 0.916834i | ||||
\(726\) | 0.168854 | − | 0.0659421i | 0.00626677 | − | 0.00244734i | ||||
\(727\) | 9.19161 | − | 18.3625i | 0.340898 | − | 0.681027i | −0.656406 | − | 0.754408i | \(-0.727924\pi\) |
0.997304 | + | 0.0733806i | \(0.0233788\pi\) | |||||||
\(728\) | −11.0027 | − | 3.10865i | −0.407787 | − | 0.115214i | ||||
\(729\) | 3.01935 | + | 42.2160i | 0.111828 | + | 1.56355i | ||||
\(730\) | −4.26897 | + | 13.5134i | −0.158002 | + | 0.500153i | ||||
\(731\) | 11.6171 | + | 14.4159i | 0.429673 | + | 0.533191i | ||||
\(732\) | −81.8555 | + | 14.3400i | −3.02546 | + | 0.530022i | ||||
\(733\) | −29.3469 | − | 2.09893i | −1.08395 | − | 0.0775258i | −0.482087 | − | 0.876123i | \(-0.660121\pi\) |
−0.601865 | + | 0.798598i | \(0.705576\pi\) | |||||||
\(734\) | 16.9780 | + | 6.72982i | 0.626671 | + | 0.248402i | ||||
\(735\) | 6.95210 | − | 64.6640i | 0.256432 | − | 2.38517i | ||||
\(736\) | 21.0403 | + | 18.0419i | 0.775555 | + | 0.665035i | ||||
\(737\) | −29.4060 | − | 13.4293i | −1.08318 | − | 0.494674i | ||||
\(738\) | 12.6661 | + | 14.1730i | 0.466247 | + | 0.521716i | ||||
\(739\) | 23.7412 | − | 25.4998i | 0.873334 | − | 0.938027i | −0.125201 | − | 0.992131i | \(-0.539958\pi\) |
0.998535 | + | 0.0541045i | \(0.0172304\pi\) | |||||||
\(740\) | −38.1530 | + | 24.2469i | −1.40253 | + | 0.891333i | ||||
\(741\) | 50.0820 | − | 72.1318i | 1.83981 | − | 2.64983i | ||||
\(742\) | −2.31586 | − | 0.641646i | −0.0850179 | − | 0.0235556i | ||||
\(743\) | −0.135449 | − | 1.25986i | −0.00496915 | − | 0.0462199i | 0.991517 | − | 0.129976i | \(-0.0414901\pi\) |
−0.996486 | + | 0.0837563i | \(0.973308\pi\) | |||||||
\(744\) | −0.617090 | + | 0.289489i | −0.0226236 | + | 0.0106132i | ||||
\(745\) | −32.0653 | − | 34.4406i | −1.17478 | − | 1.26181i | ||||
\(746\) | −13.0383 | + | 3.54134i | −0.477364 | + | 0.129658i | ||||
\(747\) | 1.16134 | − | 32.5168i | 0.0424912 | − | 1.18973i | ||||
\(748\) | −12.5051 | − | 1.40864i | −0.457231 | − | 0.0515048i | ||||
\(749\) | −9.75936 | + | 4.04246i | −0.356599 | + | 0.147708i | ||||
\(750\) | −21.4239 | + | 25.5034i | −0.782290 | + | 0.931251i | ||||
\(751\) | −13.4656 | − | 45.8595i | −0.491366 | − | 1.67344i | −0.715286 | − | 0.698831i | \(-0.753704\pi\) |
0.223921 | − | 0.974607i | \(-0.428114\pi\) | |||||||
\(752\) | −1.79506 | + | 11.6450i | −0.0654591 | + | 0.424650i | ||||
\(753\) | 5.66389 | + | 3.36054i | 0.206404 | + | 0.122465i | ||||
\(754\) | −6.50734 | − | 52.8929i | −0.236983 | − | 1.92625i | ||||
\(755\) | 11.1235 | − | 7.72316i | 0.404825 | − | 0.281075i | ||||
\(756\) | −8.28467 | − | 1.53815i | −0.301310 | − | 0.0559420i | ||||
\(757\) | −32.6217 | − | 28.2668i | −1.18566 | − | 1.02738i | −0.998989 | − | 0.0449526i | \(-0.985686\pi\) |
−0.186666 | − | 0.982423i | \(-0.559768\pi\) | |||||||
\(758\) | 14.2060 | − | 1.23495i | 0.515985 | − | 0.0448554i | ||||
\(759\) | 36.9440 | − | 27.6559i | 1.34098 | − | 1.00385i | ||||
\(760\) | 46.3337 | + | 26.8534i | 1.68070 | + | 0.974073i | ||||
\(761\) | −13.0979 | + | 4.88526i | −0.474798 | + | 0.177091i | −0.575460 | − | 0.817830i | \(-0.695177\pi\) |
0.100661 | + | 0.994921i | \(0.467904\pi\) | |||||||
\(762\) | 1.75711 | − | 7.35236i | 0.0636533 | − | 0.266348i | ||||
\(763\) | −1.43596 | − | 0.259076i | −0.0519854 | − | 0.00937920i | ||||
\(764\) | 8.18408 | − | 10.8178i | 0.296090 | − | 0.391376i | ||||
\(765\) | 20.4146 | − | 27.2707i | 0.738092 | − | 0.985975i | ||||
\(766\) | −14.5339 | − | 9.02895i | −0.525133 | − | 0.326229i | ||||
\(767\) | −23.0190 | + | 23.0190i | −0.831168 | + | 0.831168i | ||||
\(768\) | 43.8796 | + | 12.1530i | 1.58337 | + | 0.438533i | ||||
\(769\) | −11.3047 | + | 5.16266i | −0.407656 | + | 0.186170i | −0.608680 | − | 0.793416i | \(-0.708301\pi\) |
0.201024 | + | 0.979586i | \(0.435573\pi\) | |||||||
\(770\) | −10.6332 | − | 4.66056i | −0.383192 | − | 0.167955i | ||||
\(771\) | −30.1324 | + | 7.69084i | −1.08519 | + | 0.276979i | ||||
\(772\) | 28.8167 | + | 2.20798i | 1.03713 | + | 0.0794670i | ||||
\(773\) | −0.406998 | − | 11.3957i | −0.0146387 | − | 0.409874i | −0.985444 | − | 0.170003i | \(-0.945622\pi\) |
0.970805 | − | 0.239871i | \(-0.0771051\pi\) | |||||||
\(774\) | −67.0614 | + | 20.8116i | −2.41047 | + | 0.748058i | ||||
\(775\) | 0.196688 | − | 0.590952i | 0.00706523 | − | 0.0212276i | ||||
\(776\) | −22.2683 | + | 50.1127i | −0.799387 | + | 1.79894i | ||||
\(777\) | 12.2522 | − | 4.07791i | 0.439544 | − | 0.146294i | ||||
\(778\) | 27.4206 | − | 37.8234i | 0.983076 | − | 1.35603i | ||||
\(779\) | 2.02110 | + | 14.0570i | 0.0724133 | + | 0.503645i | ||||
\(780\) | 50.7762 | + | 102.737i | 1.81808 | + | 3.67856i | ||||
\(781\) | 2.13135 | + | 0.794953i | 0.0762657 | + | 0.0284456i | ||||
\(782\) | 13.0082 | − | 2.07408i | 0.465171 | − | 0.0741689i | ||||
\(783\) | −8.34853 | − | 38.3776i | −0.298352 | − | 1.37150i | ||||
\(784\) | 11.0437 | − | 23.5471i | 0.394417 | − | 0.840969i | ||||
\(785\) | −17.7070 | + | 60.3045i | −0.631990 | + | 2.15236i | ||||
\(786\) | −19.3023 | − | 29.0471i | −0.688489 | − | 1.03608i | ||||
\(787\) | 4.52260 | − | 5.61221i | 0.161213 | − | 0.200054i | −0.691583 | − | 0.722297i | \(-0.743086\pi\) |
0.852797 | + | 0.522243i | \(0.174905\pi\) | |||||||
\(788\) | 8.98064 | − | 16.2503i | 0.319922 | − | 0.578893i | ||||
\(789\) | 25.6392 | + | 10.6201i | 0.912781 | + | 0.378086i | ||||
\(790\) | 39.2033 | − | 20.3804i | 1.39479 | − | 0.725102i | ||||
\(791\) | −0.790215 | + | 0.431490i | −0.0280968 | + | 0.0153420i | ||||
\(792\) | 22.4427 | − | 42.1205i | 0.797466 | − | 1.49669i | ||||
\(793\) | −45.2215 | − | 70.3660i | −1.60586 | − | 2.49877i | ||||
\(794\) | 2.98464 | − | 8.39244i | 0.105921 | − | 0.297836i | ||||
\(795\) | 10.7817 | + | 21.5390i | 0.382387 | + | 0.763911i | ||||
\(796\) | −48.9757 | + | 16.0252i | −1.73590 | + | 0.567998i | ||||
\(797\) | 7.05888 | − | 49.0956i | 0.250038 | − | 1.73906i | −0.347916 | − | 0.937526i | \(-0.613111\pi\) |
0.597954 | − | 0.801530i | \(-0.295980\pi\) | |||||||
\(798\) | −10.9812 | − | 10.6499i | −0.388730 | − | 0.377003i | ||||
\(799\) | 3.66705 | + | 4.23201i | 0.129731 | + | 0.149718i | ||||
\(800\) | −35.6699 | + | 21.4140i | −1.26112 | + | 0.757098i | ||||
\(801\) | 4.04498 | + | 47.9250i | 0.142922 | + | 1.69335i | ||||
\(802\) | 25.5930 | − | 44.6800i | 0.903722 | − | 1.57771i | ||||
\(803\) | 6.17938 | + | 7.13139i | 0.218066 | + | 0.251661i | ||||
\(804\) | 53.4157 | − | 15.3904i | 1.88383 | − | 0.542777i | ||||
\(805\) | 12.0287 | + | 1.72947i | 0.423958 | + | 0.0609559i | ||||
\(806\) | −0.509228 | − | 0.459754i | −0.0179368 | − | 0.0161941i | ||||
\(807\) | 10.8828 | + | 21.7412i | 0.383094 | + | 0.765325i | ||||
\(808\) | 1.10550 | + | 5.78753i | 0.0388914 | + | 0.203605i | ||||
\(809\) | 7.53646 | − | 4.84339i | 0.264968 | − | 0.170284i | −0.401411 | − | 0.915898i | \(-0.631480\pi\) |
0.666378 | + | 0.745614i | \(0.267844\pi\) | |||||||
\(810\) | 4.41331 | + | 7.18519i | 0.155068 | + | 0.252462i | ||||
\(811\) | −29.8937 | + | 16.3232i | −1.04971 | + | 0.573186i | −0.908970 | − | 0.416861i | \(-0.863130\pi\) |
−0.140741 | + | 0.990046i | \(0.544948\pi\) | |||||||
\(812\) | −9.27583 | − | 0.378408i | −0.325518 | − | 0.0132795i | ||||
\(813\) | −12.0574 | + | 29.1092i | −0.422872 | + | 1.02090i | ||||
\(814\) | 0.460928 | + | 30.0967i | 0.0161555 | + | 1.05489i | ||||
\(815\) | −38.5127 | + | 47.7913i | −1.34904 | + | 1.67406i | ||||
\(816\) | 17.8992 | − | 12.1604i | 0.626596 | − | 0.425698i | ||||
\(817\) | −50.3362 | − | 14.7800i | −1.76104 | − | 0.517088i | ||||
\(818\) | 7.01929 | + | 3.38019i | 0.245424 | + | 0.118186i | ||||
\(819\) | −4.38059 | − | 20.1372i | −0.153070 | − | 0.703652i | ||||
\(820\) | −17.3319 | − | 6.56481i | −0.605257 | − | 0.229253i | ||||
\(821\) | 2.27208 | − | 6.09169i | 0.0792962 | − | 0.212601i | −0.891252 | − | 0.453508i | \(-0.850172\pi\) |
0.970548 | + | 0.240907i | \(0.0774449\pi\) | |||||||
\(822\) | 63.5512 | + | 42.6971i | 2.21660 | + | 1.48923i | ||||
\(823\) | −1.50352 | − | 10.4572i | −0.0524095 | − | 0.364516i | −0.999102 | − | 0.0423765i | \(-0.986507\pi\) |
0.946692 | − | 0.322139i | \(-0.104402\pi\) | |||||||
\(824\) | −5.00411 | + | 51.5024i | −0.174326 | + | 1.79417i | ||||
\(825\) | 21.8761 | + | 65.7271i | 0.761628 | + | 2.28832i | ||||
\(826\) | 3.30522 | + | 4.60816i | 0.115003 | + | 0.160339i | ||||
\(827\) | −8.01250 | + | 24.0737i | −0.278622 | + | 0.837124i | 0.712203 | + | 0.701973i | \(0.247697\pi\) |
−0.990825 | + | 0.135151i | \(0.956848\pi\) | |||||||
\(828\) | −10.8667 | + | 48.7615i | −0.377646 | + | 1.69458i | ||||
\(829\) | 13.8442 | − | 0.494448i | 0.480830 | − | 0.0171729i | 0.205771 | − | 0.978600i | \(-0.434030\pi\) |
0.275059 | + | 0.961427i | \(0.411303\pi\) | |||||||
\(830\) | 13.6195 | + | 28.6531i | 0.472740 | + | 0.994564i | ||||
\(831\) | 9.58726 | − | 2.44700i | 0.332578 | − | 0.0848855i | ||||
\(832\) | 5.83105 | + | 45.4561i | 0.202155 | + | 1.57591i | ||||
\(833\) | −5.13479 | − | 11.2436i | −0.177910 | − | 0.389569i | ||||
\(834\) | −83.5955 | + | 19.5304i | −2.89468 | + | 0.676283i | ||||
\(835\) | −26.2797 | + | 26.2797i | −0.909445 | + | 0.909445i | ||||
\(836\) | 31.3827 | − | 16.9302i | 1.08539 | − | 0.585541i | ||||
\(837\) | −0.404769 | − | 0.303006i | −0.0139909 | − | 0.0104734i | ||||
\(838\) | 46.2146 | + | 5.92384i | 1.59646 | + | 0.204636i | ||||
\(839\) | 6.71659 | + | 1.21181i | 0.231882 | + | 0.0418362i | 0.292258 | − | 0.956340i | \(-0.405593\pi\) |
−0.0603755 | + | 0.998176i | \(0.519230\pi\) | |||||||
\(840\) | 19.0962 | − | 5.82024i | 0.658883 | − | 0.200817i | ||||
\(841\) | −4.98723 | − | 13.3713i | −0.171973 | − | 0.461078i | ||||
\(842\) | −14.1234 | − | 24.9490i | −0.486723 | − | 0.859798i | ||||
\(843\) | 40.1904 | − | 30.0861i | 1.38423 | − | 1.03622i | ||||
\(844\) | −41.8682 | − | 19.3779i | −1.44116 | − | 0.667013i | ||||
\(845\) | −45.6132 | + | 52.6404i | −1.56914 | + | 1.81088i | ||||
\(846\) | −20.0456 | + | 7.01457i | −0.689182 | + | 0.241166i | ||||
\(847\) | 0.0261083 | − | 0.0181273i | 0.000897093 | − | 0.000622863i | ||||
\(848\) | 1.27403 | + | 9.54774i | 0.0437505 | + | 0.327871i | ||||
\(849\) | −14.3792 | + | 24.2349i | −0.493494 | + | 0.831740i | ||||
\(850\) | −3.21232 | + | 19.5100i | −0.110182 | + | 0.669187i | ||||
\(851\) | −8.87666 | − | 30.2311i | −0.304288 | − | 1.03631i | ||||
\(852\) | −3.67186 | + | 1.34836i | −0.125796 | + | 0.0461940i | ||||
\(853\) | 5.81812 | + | 14.0462i | 0.199209 | + | 0.480932i | 0.991641 | − | 0.129027i | \(-0.0411855\pi\) |
−0.792432 | + | 0.609960i | \(0.791186\pi\) | |||||||
\(854\) | −13.3749 | + | 5.78158i | −0.457680 | + | 0.197842i | ||||
\(855\) | −3.44526 | + | 96.4651i | −0.117825 | + | 3.29904i | ||||
\(856\) | 30.2450 | + | 29.6317i | 1.03375 | + | 1.01279i | ||||
\(857\) | 35.8378 | − | 33.3662i | 1.22420 | − | 1.13977i | 0.238516 | − | 0.971139i | \(-0.423339\pi\) |
0.985680 | − | 0.168628i | \(-0.0539336\pi\) | |||||||
\(858\) | 75.9847 | + | 6.99398i | 2.59407 | + | 0.238771i | ||||
\(859\) | −0.283216 | − | 2.63430i | −0.00966321 | − | 0.0898810i | 0.988423 | − | 0.151726i | \(-0.0484833\pi\) |
−0.998086 | + | 0.0618454i | \(0.980301\pi\) | |||||||
\(860\) | 48.6561 | − | 48.1649i | 1.65916 | − | 1.64241i | ||||
\(861\) | 4.34867 | + | 3.01933i | 0.148202 | + | 0.102899i | ||||
\(862\) | 2.89696 | + | 1.52474i | 0.0986708 | + | 0.0519329i | ||||
\(863\) | 36.2622 | − | 38.9483i | 1.23438 | − | 1.32582i | 0.306991 | − | 0.951712i | \(-0.400678\pi\) |
0.927387 | − | 0.374103i | \(-0.122049\pi\) | |||||||
\(864\) | 7.34985 | + | 32.9655i | 0.250047 | + | 1.12151i | ||||
\(865\) | 11.0035 | − | 24.0943i | 0.374130 | − | 0.819230i | ||||
\(866\) | 7.90649 | − | 39.2284i | 0.268674 | − | 1.33303i | ||||
\(867\) | −4.07196 | + | 37.8747i | −0.138291 | + | 1.28629i | ||||
\(868\) | −0.0934380 | + | 0.0745185i | −0.00317149 | + | 0.00252932i | ||||
\(869\) | 2.09881 | − | 29.3451i | 0.0711971 | − | 0.995466i | ||||
\(870\) | 59.4892 | + | 71.5507i | 2.01687 | + | 2.42580i | ||||
\(871\) | 35.1078 | + | 43.5661i | 1.18958 | + | 1.47618i | ||||
\(872\) | 1.30169 | + | 5.70201i | 0.0440809 | + | 0.193094i | ||||
\(873\) | −98.5904 | + | 7.05132i | −3.33678 | + | 0.238651i | ||||
\(874\) | −26.9254 | + | 25.8494i | −0.910765 | + | 0.874368i | ||||
\(875\) | −2.61415 | + | 5.22240i | −0.0883744 | + | 0.176549i | ||||
\(876\) | −16.0490 | − | 2.39065i | −0.542244 | − | 0.0807724i | ||||
\(877\) | 21.7911 | + | 36.7269i | 0.735833 | + | 1.24018i | 0.963830 | + | 0.266518i | \(0.0858731\pi\) |
−0.227997 | + | 0.973662i | \(0.573218\pi\) | |||||||
\(878\) | 14.0667 | − | 10.8702i | 0.474728 | − | 0.366853i | ||||
\(879\) | 32.4043 | − | 50.4220i | 1.09297 | − | 1.70069i | ||||
\(880\) | −0.472091 | + | 46.5327i | −0.0159142 | + | 1.56862i | ||||
\(881\) | −7.93109 | + | 14.5247i | −0.267205 | + | 0.489350i | −0.976487 | − | 0.215575i | \(-0.930837\pi\) |
0.709282 | + | 0.704925i | \(0.249019\pi\) | |||||||
\(882\) | 46.8177 | − | 2.39041i | 1.57643 | − | 0.0804894i | ||||
\(883\) | 4.01096 | + | 22.2313i | 0.134980 | + | 0.748142i | 0.977735 | + | 0.209845i | \(0.0672959\pi\) |
−0.842755 | + | 0.538297i | \(0.819068\pi\) | |||||||
\(884\) | 18.2628 | + | 11.8681i | 0.614246 | + | 0.399169i | ||||
\(885\) | 12.0824 | − | 55.5421i | 0.406147 | − | 1.86703i | ||||
\(886\) | −20.5117 | + | 26.2669i | −0.689106 | + | 0.882452i | ||||
\(887\) | −4.28788 | + | 16.7998i | −0.143973 | + | 0.564080i | 0.854994 | + | 0.518638i | \(0.173561\pi\) |
−0.998967 | + | 0.0454426i | \(0.985530\pi\) | |||||||
\(888\) | −34.2937 | − | 38.7677i | −1.15082 | − | 1.30096i | ||||
\(889\) | − | 1.32546i | − | 0.0444544i | ||||||
\(890\) | −25.0534 | − | 39.6416i | −0.839791 | − | 1.32879i | ||||
\(891\) | 5.61466 | 0.188098 | ||||||||
\(892\) | 28.9738 | + | 9.80692i | 0.970113 | + | 0.328360i | ||||
\(893\) | −15.3744 | − | 3.92408i | −0.514485 | − | 0.131314i | ||||
\(894\) | 33.1606 | − | 42.4646i | 1.10906 | − | 1.42023i | ||||
\(895\) | 36.8751 | + | 8.02170i | 1.23260 | + | 0.268136i | ||||
\(896\) | 7.97838 | + | 0.284180i | 0.266539 | + | 0.00949380i | ||||
\(897\) | −78.6041 | + | 14.1817i | −2.62451 | + | 0.473515i | ||||
\(898\) | −1.90995 | − | 37.4076i | −0.0637360 | − | 1.24831i | ||||
\(899\) | −0.488922 | − | 0.266971i | −0.0163064 | − | 0.00890400i | ||||
\(900\) | −64.2970 | − | 38.5915i | −2.14323 | − | 1.28638i | ||||
\(901\) | 3.85114 | + | 2.47498i | 0.128300 | + | 0.0824534i | ||||
\(902\) | −9.76470 | + | 7.54582i | −0.325129 | + | 0.251248i | ||||
\(903\) | −16.8189 | + | 9.97912i | −0.559698 | + | 0.332084i | ||||
\(904\) | 2.83305 | + | 2.23555i | 0.0942258 | + | 0.0743533i | ||||
\(905\) | 11.5083 | + | 5.76064i | 0.382549 | + | 0.191490i | ||||
\(906\) | 10.7378 | + | 11.1848i | 0.356739 | + | 0.371589i | ||||
\(907\) | −0.264160 | − | 3.69343i | −0.00877128 | − | 0.122638i | 0.991180 | − | 0.132523i | \(-0.0423080\pi\) |
−0.999951 | + | 0.00988501i | \(0.996853\pi\) | |||||||
\(908\) | 12.1274 | − | 11.1767i | 0.402461 | − | 0.370912i | ||||
\(909\) | −8.26945 | + | 6.66394i | −0.274280 | + | 0.221029i | ||||
\(910\) | 12.8463 | + | 15.4509i | 0.425851 | + | 0.512193i | ||||
\(911\) | 16.0773 | + | 1.14987i | 0.532663 | + | 0.0380968i | 0.335081 | − | 0.942189i | \(-0.391236\pi\) |
0.197583 | + | 0.980286i | \(0.436691\pi\) | |||||||
\(912\) | −22.0095 | + | 57.2298i | −0.728808 | + | 1.89507i | ||||
\(913\) | 21.0032 | + | 2.25808i | 0.695104 | + | 0.0747314i | ||||
\(914\) | −44.8810 | − | 9.04578i | −1.48453 | − | 0.299208i | ||||
\(915\) | 132.850 | + | 60.6707i | 4.39189 | + | 2.00571i | ||||
\(916\) | −1.70832 | − | 8.04940i | −0.0564446 | − | 0.265960i | ||||
\(917\) | −4.47558 | − | 4.16692i | −0.147797 | − | 0.137604i | ||||
\(918\) | 14.2045 | + | 7.47616i | 0.468817 | + | 0.246750i | ||||
\(919\) | 15.7546 | − | 22.6909i | 0.519695 | − | 0.748503i | −0.471362 | − | 0.881940i | \(-0.656238\pi\) |
0.991057 | + | 0.133436i | \(0.0426012\pi\) | |||||||
\(920\) | −12.5292 | − | 47.0717i | −0.413074 | − | 1.55191i | ||||
\(921\) | 29.5535 | − | 3.17733i | 0.973822 | − | 0.104697i | ||||
\(922\) | 1.94353 | − | 21.1150i | 0.0640066 | − | 0.695386i | ||||
\(923\) | −2.68283 | − | 2.88156i | −0.0883064 | − | 0.0948477i | ||||
\(924\) | 3.35265 | − | 12.8629i | 0.110294 | − | 0.423159i | ||||
\(925\) | 47.2643 | + | 1.68805i | 1.55404 | + | 0.0555027i | ||||
\(926\) | 20.6275 | − | 8.91666i | 0.677861 | − | 0.293020i | ||||
\(927\) | −86.1682 | + | 35.6920i | −2.83014 | + | 1.17228i | ||||
\(928\) | 13.1840 | + | 34.7974i | 0.432787 | + | 1.14228i | ||||
\(929\) | 21.0383 | − | 6.17741i | 0.690245 | − | 0.202674i | 0.0822462 | − | 0.996612i | \(-0.473791\pi\) |
0.607999 | + | 0.793938i | \(0.291972\pi\) | |||||||
\(930\) | 1.18200 | + | 0.194617i | 0.0387594 | + | 0.00638173i | ||||
\(931\) | 30.1218 | + | 17.8721i | 0.987201 | + | 0.585733i | ||||
\(932\) | −29.9548 | − | 12.5861i | −0.981202 | − | 0.412270i | ||||
\(933\) | 21.8608 | + | 31.4856i | 0.715691 | + | 1.03079i | ||||
\(934\) | 31.5206 | − | 11.0300i | 1.03139 | − | 0.360914i | ||||
\(935\) | 16.7143 | + | 14.4830i | 0.546615 | + | 0.473645i | ||||
\(936\) | −67.3664 | + | 47.8032i | −2.20194 | + | 1.56250i | ||||
\(937\) | 3.61043 | + | 4.82297i | 0.117948 | + | 0.157560i | 0.855629 | − | 0.517589i | \(-0.173170\pi\) |
−0.737682 | + | 0.675149i | \(0.764079\pi\) | |||||||
\(938\) | 8.48209 | − | 4.80163i | 0.276950 | − | 0.156779i | ||||
\(939\) | −52.3913 | + | 19.5409i | −1.70973 | + | 0.637694i | ||||
\(940\) | 14.1870 | − | 15.0838i | 0.462730 | − | 0.491980i | ||||
\(941\) | 0.701275 | − | 3.88690i | 0.0228609 | − | 0.126709i | −0.970639 | − | 0.240540i | \(-0.922676\pi\) |
0.993500 | + | 0.113830i | \(0.0363120\pi\) | |||||||
\(942\) | −71.3774 | − | 9.14924i | −2.32560 | − | 0.298098i | ||||
\(943\) | 7.74114 | − | 10.3410i | 0.252086 | − | 0.336748i | ||||
\(944\) | 11.7966 | − | 19.4302i | 0.383946 | − | 0.632398i | ||||
\(945\) | 10.4714 | + | 10.4714i | 0.340634 | + | 0.340634i | ||||
\(946\) | −10.3711 | − | 44.3910i | −0.337193 | − | 1.44328i | ||||
\(947\) | −16.4976 | + | 7.53422i | −0.536101 | + | 0.244829i | −0.665019 | − | 0.746826i | \(-0.731577\pi\) |
0.128918 | + | 0.991655i | \(0.458849\pi\) | |||||||
\(948\) | 30.1113 | + | 40.6523i | 0.977971 | + | 1.32032i | ||||
\(949\) | −4.03899 | − | 15.8246i | −0.131111 | − | 0.513688i | ||||
\(950\) | −24.0522 | − | 50.6018i | −0.780358 | − | 1.64174i | ||||
\(951\) | 3.26317 | + | 91.3668i | 0.105816 | + | 2.96277i | ||||
\(952\) | 2.55686 | − | 2.80328i | 0.0828682 | − | 0.0908548i | ||||
\(953\) | 56.6680 | + | 18.8609i | 1.83566 | + | 0.610965i | 0.997889 | + | 0.0649358i | \(0.0206843\pi\) |
0.837766 | + | 0.546029i | \(0.183861\pi\) | |||||||
\(954\) | −14.1081 | + | 10.1191i | −0.456767 | + | 0.327618i | ||||
\(955\) | −22.6197 | + | 7.52855i | −0.731955 | + | 0.243618i | ||||
\(956\) | 20.9161 | + | 46.4217i | 0.676477 | + | 1.50138i | ||||
\(957\) | 61.3271 | − | 8.81751i | 1.98242 | − | 0.285030i | ||||
\(958\) | 25.1620 | + | 16.9052i | 0.812947 | + | 0.546182i | ||||
\(959\) | 12.5780 | + | 4.69134i | 0.406164 | + | 0.151491i | ||||
\(960\) | −51.4754 | − | 61.2652i | −1.66136 | − | 1.97733i | ||||
\(961\) | 30.2845 | − | 6.58800i | 0.976921 | − | 0.212516i | ||||
\(962\) | 22.6033 | − | 46.9378i | 0.728758 | − | 1.51334i | ||||
\(963\) | −21.5014 | + | 73.2270i | −0.692873 | + | 2.35971i | ||||
\(964\) | −4.25619 | + | 0.282717i | −0.137083 | + | 0.00910569i | ||||
\(965\) | −39.5492 | − | 31.8707i | −1.27313 | − | 1.02595i | ||||
\(966\) | 0.213068 | + | 13.9125i | 0.00685536 | + | 0.447627i | ||||
\(967\) | −10.2350 | − | 4.23949i | −0.329136 | − | 0.136333i | 0.211995 | − | 0.977271i | \(-0.432004\pi\) |
−0.541131 | + | 0.840938i | \(0.682004\pi\) | |||||||
\(968\) | −0.107876 | − | 0.0677770i | −0.00346728 | − | 0.00217844i | ||||
\(969\) | 13.9658 | + | 25.5764i | 0.448646 | + | 0.821633i | ||||
\(970\) | 82.1209 | − | 50.4406i | 2.63674 | − | 1.61955i | ||||
\(971\) | 3.99296 | + | 6.21317i | 0.128140 | + | 0.199390i | 0.899395 | − | 0.437136i | \(-0.144007\pi\) |
−0.771255 | + | 0.636526i | \(0.780371\pi\) | |||||||
\(972\) | 19.8639 | − | 17.0365i | 0.637133 | − | 0.546446i | ||||
\(973\) | −13.4601 | + | 6.73765i | −0.431512 | + | 0.215999i | ||||
\(974\) | −32.4790 | − | 29.3235i | −1.04070 | − | 0.939586i | ||||
\(975\) | 17.0627 | − | 118.674i | 0.546445 | − | 3.80061i | ||||
\(976\) | 42.3404 | + | 40.2298i | 1.35528 | + | 1.28773i | ||||
\(977\) | −35.7624 | + | 30.9883i | −1.14414 | + | 0.991402i | −0.144141 | + | 0.989557i | \(0.546042\pi\) |
−0.999998 | + | 0.00184515i | \(0.999413\pi\) | |||||||
\(978\) | −60.9798 | − | 34.9297i | −1.94992 | − | 1.11693i | ||||
\(979\) | −31.2223 | + | 0.399757i | −0.997869 | + | 0.0127763i | ||||
\(980\) | −39.4277 | + | 23.1239i | −1.25947 | + | 0.738667i | ||||
\(981\) | −7.96711 | + | 6.90354i | −0.254370 | + | 0.220413i | ||||
\(982\) | −5.88644 | − | 5.70885i | −0.187844 | − | 0.182177i | ||||
\(983\) | −7.19581 | − | 1.03460i | −0.229511 | − | 0.0329987i | 0.0265998 | − | 0.999646i | \(-0.491532\pi\) |
−0.256111 | + | 0.966647i | \(0.582441\pi\) | |||||||
\(984\) | 4.29810 | − | 20.7804i | 0.137018 | − | 0.662455i | ||||
\(985\) | −29.1788 | + | 14.6059i | −0.929714 | + | 0.465382i | ||||
\(986\) | 16.6626 | + | 5.92578i | 0.530644 | + | 0.188715i | ||||
\(987\) | −4.97603 | + | 3.19790i | −0.158389 | + | 0.101790i | ||||
\(988\) | −61.6872 | + | 1.88991i | −1.96253 | + | 0.0601261i | ||||
\(989\) | 22.8686 | + | 41.8807i | 0.727180 | + | 1.33173i | ||||
\(990\) | −74.4214 | + | 38.6890i | −2.36527 | + | 1.22962i | ||||
\(991\) | 21.8926 | − | 52.8534i | 0.695441 | − | 1.67894i | −0.0380771 | − | 0.999275i | \(-0.512123\pi\) |
0.733519 | − | 0.679669i | \(-0.237877\pi\) | |||||||
\(992\) | 0.421632 | + | 0.227407i | 0.0133868 | + | 0.00722019i | ||||
\(993\) | −11.2001 | − | 9.02564i | −0.355425 | − | 0.286420i | ||||
\(994\) | −0.571234 | + | 0.379594i | −0.0181184 | + | 0.0120400i | ||||
\(995\) | 86.8948 | + | 25.5146i | 2.75475 | + | 0.808868i | ||||
\(996\) | −29.9422 | + | 20.5649i | −0.948755 | + | 0.651625i | ||||
\(997\) | −51.2526 | + | 11.1493i | −1.62319 | + | 0.353103i | −0.929973 | − | 0.367628i | \(-0.880170\pi\) |
−0.693215 | + | 0.720731i | \(0.743806\pi\) | |||||||
\(998\) | 37.9641 | − | 6.05316i | 1.20173 | − | 0.191609i | ||||
\(999\) | 13.4175 | − | 35.9736i | 0.424510 | − | 1.13816i |
(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 | 712.2.bf.c.483.6 | yes | 3440 | |
8.3 | odd | 2 | inner | 712.2.bf.c.483.53 | yes | 3440 | |
89.82 | odd | 88 | inner | 712.2.bf.c.171.53 | yes | 3440 | |
712.171 | even | 88 | inner | 712.2.bf.c.171.6 | ✓ | 3440 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
712.2.bf.c.171.6 | ✓ | 3440 | 712.171 | even | 88 | inner | |
712.2.bf.c.171.53 | yes | 3440 | 89.82 | odd | 88 | inner | |
712.2.bf.c.483.6 | yes | 3440 | 1.1 | even | 1 | trivial | |
712.2.bf.c.483.53 | yes | 3440 | 8.3 | odd | 2 | inner |