Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [116,2,Mod(3,116)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(116, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([14, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("116.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 116 = 2^{2} \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 116.l (of order \(28\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.926264663447\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 27.8 | ||
Character | \(\chi\) | \(=\) | 116.27 |
Dual form | 116.2.l.b.43.8 |
$q$-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 \(\left(\mathbb{Z}/116\mathbb{Z}\right)^\times\).
\(n\) | \(59\) | \(89\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{15}{28}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.417620 | + | 1.35115i | 0.295302 | + | 0.955404i | ||||
\(3\) | 1.28319 | + | 0.806282i | 0.740850 | + | 0.465507i | 0.848843 | − | 0.528645i | \(-0.177300\pi\) |
−0.107993 | + | 0.994152i | \(0.534442\pi\) | |||||||
\(4\) | −1.65119 | + | 1.12853i | −0.825593 | + | 0.564265i | ||||
\(5\) | 1.86371 | − | 1.48626i | 0.833478 | − | 0.664677i | −0.110794 | − | 0.993843i | \(-0.535339\pi\) |
0.944272 | + | 0.329167i | \(0.106768\pi\) | |||||||
\(6\) | −0.553518 | + | 2.07050i | −0.225973 | + | 0.845277i | ||||
\(7\) | −0.787001 | + | 0.179628i | −0.297458 | + | 0.0678930i | −0.368646 | − | 0.929570i | \(-0.620178\pi\) |
0.0711871 | + | 0.997463i | \(0.477321\pi\) | |||||||
\(8\) | −2.21438 | − | 1.75970i | −0.782901 | − | 0.622147i | ||||
\(9\) | −0.305164 | − | 0.633680i | −0.101721 | − | 0.211227i | ||||
\(10\) | 2.78648 | + | 1.89745i | 0.881162 | + | 0.600028i | ||||
\(11\) | −3.32550 | + | 1.16364i | −1.00268 | + | 0.350851i | −0.781177 | − | 0.624310i | \(-0.785380\pi\) |
−0.221498 | + | 0.975161i | \(0.571095\pi\) | |||||||
\(12\) | −3.02870 | + | 0.116798i | −0.874311 | + | 0.0337166i | ||||
\(13\) | 0.140123 | − | 0.290969i | 0.0388632 | − | 0.0807003i | −0.880633 | − | 0.473799i | \(-0.842882\pi\) |
0.919496 | + | 0.393098i | \(0.128597\pi\) | |||||||
\(14\) | −0.571371 | − | 0.988337i | −0.152705 | − | 0.264144i | ||||
\(15\) | 3.58985 | − | 0.404478i | 0.926894 | − | 0.104436i | ||||
\(16\) | 1.45284 | − | 3.72683i | 0.363209 | − | 0.931708i | ||||
\(17\) | −1.00149 | − | 1.00149i | −0.242898 | − | 0.242898i | 0.575150 | − | 0.818048i | \(-0.304944\pi\) |
−0.818048 | + | 0.575150i | \(0.804944\pi\) | |||||||
\(18\) | 0.728751 | − | 0.676959i | 0.171768 | − | 0.159561i | ||||
\(19\) | −0.955286 | − | 1.52033i | −0.219158 | − | 0.348787i | 0.718991 | − | 0.695019i | \(-0.244604\pi\) |
−0.938149 | + | 0.346232i | \(0.887461\pi\) | |||||||
\(20\) | −1.40005 | + | 4.55735i | −0.313060 | + | 1.01906i | ||||
\(21\) | −1.15470 | − | 0.404048i | −0.251977 | − | 0.0881705i | ||||
\(22\) | −2.96104 | − | 4.00727i | −0.631297 | − | 0.854353i | ||||
\(23\) | 6.35218 | + | 5.06569i | 1.32452 | + | 1.05627i | 0.993641 | + | 0.112597i | \(0.0359171\pi\) |
0.330880 | + | 0.943673i | \(0.392654\pi\) | |||||||
\(24\) | −1.42266 | − | 4.04344i | −0.290399 | − | 0.825363i | ||||
\(25\) | 0.151849 | − | 0.665293i | 0.0303698 | − | 0.133059i | ||||
\(26\) | 0.451660 | + | 0.0678124i | 0.0885778 | + | 0.0132991i | ||||
\(27\) | 0.628379 | − | 5.57702i | 0.120932 | − | 1.07330i | ||||
\(28\) | 1.09677 | − | 1.18475i | 0.207270 | − | 0.223898i | ||||
\(29\) | 4.54129 | − | 2.89426i | 0.843296 | − | 0.537450i | ||||
\(30\) | 2.04570 | + | 4.68148i | 0.373492 | + | 0.854718i | ||||
\(31\) | −3.77766 | − | 0.425640i | −0.678488 | − | 0.0764472i | −0.234006 | − | 0.972235i | \(-0.575184\pi\) |
−0.444482 | + | 0.895788i | \(0.646612\pi\) | |||||||
\(32\) | 5.64222 | + | 0.406593i | 0.997414 | + | 0.0718762i | ||||
\(33\) | −5.20547 | − | 1.18811i | −0.906156 | − | 0.206824i | ||||
\(34\) | 0.934918 | − | 1.77141i | 0.160337 | − | 0.303793i | ||||
\(35\) | −1.19977 | + | 1.50446i | −0.202798 | + | 0.254301i | ||||
\(36\) | 1.21901 | + | 0.701937i | 0.203168 | + | 0.116989i | ||||
\(37\) | −3.52641 | + | 10.0779i | −0.579739 | + | 1.65680i | 0.162536 | + | 0.986703i | \(0.448033\pi\) |
−0.742275 | + | 0.670096i | \(0.766253\pi\) | |||||||
\(38\) | 1.65524 | − | 1.92565i | 0.268515 | − | 0.312382i | ||||
\(39\) | 0.414408 | − | 0.260390i | 0.0663584 | − | 0.0416957i | ||||
\(40\) | −6.74234 | + | 0.0115762i | −1.06606 | + | 0.00183036i | ||||
\(41\) | 0.178656 | − | 0.178656i | 0.0279013 | − | 0.0279013i | −0.693018 | − | 0.720920i | \(-0.743720\pi\) |
0.720920 | + | 0.693018i | \(0.243720\pi\) | |||||||
\(42\) | 0.0637004 | − | 1.72891i | 0.00982919 | − | 0.266777i | ||||
\(43\) | −0.783440 | − | 6.95322i | −0.119473 | − | 1.06036i | −0.900198 | − | 0.435481i | \(-0.856578\pi\) |
0.780725 | − | 0.624875i | \(-0.214850\pi\) | |||||||
\(44\) | 4.17781 | − | 5.67432i | 0.629829 | − | 0.855435i | ||||
\(45\) | −1.51055 | − | 0.727444i | −0.225180 | − | 0.108441i | ||||
\(46\) | −4.19169 | + | 10.6983i | −0.618031 | + | 1.57737i | ||||
\(47\) | −3.05870 | − | 8.74125i | −0.446157 | − | 1.27504i | −0.919126 | − | 0.393964i | \(-0.871104\pi\) |
0.472969 | − | 0.881079i | \(-0.343182\pi\) | |||||||
\(48\) | 4.86914 | − | 3.61084i | 0.702800 | − | 0.521180i | ||||
\(49\) | −5.71968 | + | 2.75445i | −0.817097 | + | 0.393493i | ||||
\(50\) | 0.962323 | − | 0.0726700i | 0.136093 | − | 0.0102771i | ||||
\(51\) | −0.477620 | − | 2.09259i | −0.0668802 | − | 0.293021i | ||||
\(52\) | 0.0969978 | + | 0.638578i | 0.0134512 | + | 0.0885548i | ||||
\(53\) | 7.48797 | + | 9.38962i | 1.02855 | + | 1.28976i | 0.956303 | + | 0.292377i | \(0.0944463\pi\) |
0.0722492 | + | 0.997387i | \(0.476982\pi\) | |||||||
\(54\) | 7.79779 | − | 1.48004i | 1.06114 | − | 0.201409i | ||||
\(55\) | −4.46830 | + | 7.11125i | −0.602505 | + | 0.958881i | ||||
\(56\) | 2.05881 | + | 0.987119i | 0.275120 | + | 0.131909i | ||||
\(57\) | − | 2.72110i | − | 0.360419i | ||||||
\(58\) | 5.80709 | + | 4.92724i | 0.762509 | + | 0.646978i | ||||
\(59\) | 14.0807i | 1.83315i | 0.399858 | + | 0.916577i | \(0.369059\pi\) | ||||
−0.399858 | + | 0.916577i | \(0.630941\pi\) | |||||||
\(60\) | −5.47104 | + | 4.71912i | −0.706308 | + | 0.609236i | ||||
\(61\) | −2.54202 | + | 4.04561i | −0.325473 | + | 0.517987i | −0.968878 | − | 0.247539i | \(-0.920378\pi\) |
0.643405 | + | 0.765526i | \(0.277521\pi\) | |||||||
\(62\) | −1.00253 | − | 5.28192i | −0.127321 | − | 0.670805i | ||||
\(63\) | 0.353991 | + | 0.443891i | 0.0445987 | + | 0.0559250i | ||||
\(64\) | 1.80694 | + | 7.79326i | 0.225867 | + | 0.974158i | ||||
\(65\) | −0.171307 | − | 0.750543i | −0.0212480 | − | 0.0930934i | ||||
\(66\) | −0.568594 | − | 7.52953i | −0.0699890 | − | 0.926821i | ||||
\(67\) | −8.61751 | + | 4.14997i | −1.05280 | + | 0.507000i | −0.878524 | − | 0.477698i | \(-0.841471\pi\) |
−0.174272 | + | 0.984698i | \(0.555757\pi\) | |||||||
\(68\) | 2.78387 | + | 0.523436i | 0.337593 | + | 0.0634760i | ||||
\(69\) | 4.06668 | + | 11.6219i | 0.489570 | + | 1.39911i | ||||
\(70\) | −2.53380 | − | 0.992770i | −0.302847 | − | 0.118659i | ||||
\(71\) | −0.559911 | − | 0.269639i | −0.0664492 | − | 0.0320002i | 0.400364 | − | 0.916356i | \(-0.368884\pi\) |
−0.466813 | + | 0.884356i | \(0.654598\pi\) | |||||||
\(72\) | −0.439335 | + | 1.94020i | −0.0517762 | + | 0.228655i | ||||
\(73\) | −1.11265 | − | 9.87502i | −0.130226 | − | 1.15578i | −0.873509 | − | 0.486807i | \(-0.838161\pi\) |
0.743284 | − | 0.668976i | \(-0.233267\pi\) | |||||||
\(74\) | −15.0894 | − | 0.555959i | −1.75411 | − | 0.0646289i | ||||
\(75\) | 0.731265 | − | 0.731265i | 0.0844392 | − | 0.0844392i | ||||
\(76\) | 3.29309 | + | 1.43228i | 0.377744 | + | 0.164293i | ||||
\(77\) | 2.40815 | − | 1.51314i | 0.274434 | − | 0.172438i | ||||
\(78\) | 0.524890 | + | 0.451181i | 0.0594320 | + | 0.0510862i | ||||
\(79\) | 1.13423 | − | 3.24145i | 0.127611 | − | 0.364691i | −0.862297 | − | 0.506403i | \(-0.830975\pi\) |
0.989908 | + | 0.141712i | \(0.0452606\pi\) | |||||||
\(80\) | −2.83138 | − | 9.10504i | −0.316557 | − | 1.01797i | ||||
\(81\) | 3.98742 | − | 5.00007i | 0.443047 | − | 0.555563i | ||||
\(82\) | 0.316000 | + | 0.166780i | 0.0348964 | + | 0.0184177i | ||||
\(83\) | 11.7451 | + | 2.68074i | 1.28919 | + | 0.294250i | 0.811539 | − | 0.584298i | \(-0.198630\pi\) |
0.477654 | + | 0.878548i | \(0.341487\pi\) | |||||||
\(84\) | 2.36261 | − | 0.635959i | 0.257782 | − | 0.0693888i | ||||
\(85\) | −3.35498 | − | 0.378015i | −0.363898 | − | 0.0410015i | ||||
\(86\) | 9.06763 | − | 3.96234i | 0.977787 | − | 0.427271i | ||||
\(87\) | 8.16092 | − | 0.0523251i | 0.874943 | − | 0.00560984i | ||||
\(88\) | 9.41156 | + | 3.27512i | 1.00328 | + | 0.349129i | ||||
\(89\) | 0.121256 | − | 1.07618i | 0.0128531 | − | 0.114075i | −0.985647 | − | 0.168817i | \(-0.946005\pi\) |
0.998501 | + | 0.0547425i | \(0.0174338\pi\) | |||||||
\(90\) | 0.352045 | − | 2.34477i | 0.0371088 | − | 0.247161i | ||||
\(91\) | −0.0580111 | + | 0.254163i | −0.00608121 | + | 0.0266435i | ||||
\(92\) | −16.2054 | − | 1.19578i | −1.68953 | − | 0.124668i | ||||
\(93\) | −4.50427 | − | 3.59204i | −0.467071 | − | 0.372477i | ||||
\(94\) | 10.5333 | − | 7.78326i | 1.08643 | − | 0.802782i | ||||
\(95\) | −4.03999 | − | 1.41365i | −0.414494 | − | 0.145038i | ||||
\(96\) | 6.91222 | + | 5.07096i | 0.705475 | + | 0.517553i | ||||
\(97\) | −6.60385 | − | 10.5100i | −0.670520 | − | 1.06713i | −0.992719 | − | 0.120454i | \(-0.961565\pi\) |
0.322199 | − | 0.946672i | \(-0.395578\pi\) | |||||||
\(98\) | −6.11032 | − | 6.57780i | −0.617235 | − | 0.664458i | ||||
\(99\) | 1.75220 | + | 1.75220i | 0.176103 | + | 0.176103i | ||||
\(100\) | 0.500073 | + | 1.26989i | 0.0500073 | + | 0.126989i | ||||
\(101\) | 5.00898 | − | 0.564376i | 0.498412 | − | 0.0561575i | 0.140820 | − | 0.990035i | \(-0.455026\pi\) |
0.357592 | + | 0.933878i | \(0.383598\pi\) | |||||||
\(102\) | 2.62793 | − | 1.51924i | 0.260204 | − | 0.150427i | ||||
\(103\) | 4.71539 | − | 9.79160i | 0.464621 | − | 0.964795i | −0.528635 | − | 0.848850i | \(-0.677296\pi\) |
0.993256 | − | 0.115946i | \(-0.0369899\pi\) | |||||||
\(104\) | −0.822303 | + | 0.397741i | −0.0806334 | + | 0.0390017i | ||||
\(105\) | −2.75256 | + | 0.963161i | −0.268622 | + | 0.0939949i | ||||
\(106\) | −9.55961 | + | 14.0386i | −0.928512 | + | 1.36355i | ||||
\(107\) | −6.93403 | − | 14.3987i | −0.670338 | − | 1.39197i | −0.907313 | − | 0.420455i | \(-0.861870\pi\) |
0.236975 | − | 0.971516i | \(-0.423844\pi\) | |||||||
\(108\) | 5.25627 | + | 9.91785i | 0.505785 | + | 0.954346i | ||||
\(109\) | 7.15577 | − | 1.63326i | 0.685399 | − | 0.156438i | 0.134379 | − | 0.990930i | \(-0.457096\pi\) |
0.551020 | + | 0.834492i | \(0.314239\pi\) | |||||||
\(110\) | −11.4744 | − | 3.06752i | −1.09404 | − | 0.292476i | ||||
\(111\) | −12.6507 | + | 10.0886i | −1.20075 | + | 0.957567i | ||||
\(112\) | −0.473941 | + | 3.19399i | −0.0447832 | + | 0.301804i | ||||
\(113\) | −2.44679 | − | 1.53742i | −0.230174 | − | 0.144628i | 0.412008 | − | 0.911180i | \(-0.364828\pi\) |
−0.642182 | + | 0.766552i | \(0.721971\pi\) | |||||||
\(114\) | 3.67660 | − | 1.13639i | 0.344345 | − | 0.106432i | ||||
\(115\) | 19.3676 | 1.80604 | ||||||||
\(116\) | −4.23225 | + | 9.90394i | −0.392955 | + | 0.919558i | ||||
\(117\) | −0.227142 | −0.0209993 | ||||||||
\(118\) | −19.0251 | + | 5.88039i | −1.75140 | + | 0.541334i | ||||
\(119\) | 0.968072 | + | 0.608280i | 0.0887430 | + | 0.0557609i | ||||
\(120\) | −8.66103 | − | 5.42137i | −0.790641 | − | 0.494901i | ||||
\(121\) | 1.10472 | − | 0.880987i | 0.100429 | − | 0.0800898i | ||||
\(122\) | −6.52780 | − | 1.74512i | −0.590999 | − | 0.157995i | ||||
\(123\) | 0.373296 | − | 0.0852024i | 0.0336590 | − | 0.00768244i | ||||
\(124\) | 6.71797 | − | 3.56039i | 0.603291 | − | 0.319733i | ||||
\(125\) | 4.46562 | + | 9.27295i | 0.399417 | + | 0.829398i | ||||
\(126\) | −0.451927 | + | 0.663671i | −0.0402609 | + | 0.0591245i | ||||
\(127\) | 1.40584 | − | 0.491925i | 0.124748 | − | 0.0436513i | −0.267183 | − | 0.963646i | \(-0.586093\pi\) |
0.391931 | + | 0.919994i | \(0.371807\pi\) | |||||||
\(128\) | −9.77522 | + | 5.69606i | −0.864015 | + | 0.503465i | ||||
\(129\) | 4.60095 | − | 9.55398i | 0.405091 | − | 0.841181i | ||||
\(130\) | 0.942551 | − | 0.544902i | 0.0826672 | − | 0.0477910i | ||||
\(131\) | 4.70319 | − | 0.529922i | 0.410919 | − | 0.0462995i | 0.0959145 | − | 0.995390i | \(-0.469422\pi\) |
0.315005 | + | 0.949090i | \(0.397994\pi\) | |||||||
\(132\) | 9.93603 | − | 3.91273i | 0.864820 | − | 0.340560i | ||||
\(133\) | 1.02490 | + | 1.02490i | 0.0888705 | + | 0.0888705i | ||||
\(134\) | −9.20606 | − | 9.91039i | −0.795283 | − | 0.856128i | ||||
\(135\) | −7.11780 | − | 11.3279i | −0.612602 | − | 0.974951i | ||||
\(136\) | 0.455360 | + | 3.98001i | 0.0390468 | + | 0.341283i | ||||
\(137\) | 2.77808 | + | 0.972091i | 0.237347 | + | 0.0830513i | 0.446332 | − | 0.894868i | \(-0.352730\pi\) |
−0.208985 | + | 0.977919i | \(0.567016\pi\) | |||||||
\(138\) | −14.0045 | + | 10.3482i | −1.19215 | + | 0.880898i | ||||
\(139\) | 5.45929 | + | 4.35364i | 0.463051 | + | 0.369271i | 0.827050 | − | 0.562129i | \(-0.190017\pi\) |
−0.363999 | + | 0.931399i | \(0.618589\pi\) | |||||||
\(140\) | 0.283211 | − | 3.83813i | 0.0239357 | − | 0.324381i | ||||
\(141\) | 3.12302 | − | 13.6829i | 0.263006 | − | 1.15230i | ||||
\(142\) | 0.130491 | − | 0.869127i | 0.0109506 | − | 0.0729355i | ||||
\(143\) | −0.127396 | + | 1.13067i | −0.0106534 | + | 0.0945514i | ||||
\(144\) | −2.80497 | + | 0.216662i | −0.233748 | + | 0.0180552i | ||||
\(145\) | 4.16203 | − | 12.1436i | 0.345638 | − | 1.00847i | ||||
\(146\) | 12.8779 | − | 5.62735i | 1.06578 | − | 0.465723i | ||||
\(147\) | −9.56030 | − | 1.07719i | −0.788520 | − | 0.0888449i | ||||
\(148\) | −5.55047 | − | 20.6202i | −0.456245 | − | 1.69497i | ||||
\(149\) | 13.5445 | + | 3.09145i | 1.10961 | + | 0.253262i | 0.737782 | − | 0.675039i | \(-0.235873\pi\) |
0.371830 | + | 0.928301i | \(0.378730\pi\) | |||||||
\(150\) | 1.29344 | + | 0.682654i | 0.105609 | + | 0.0557385i | ||||
\(151\) | 0.834610 | − | 1.04657i | 0.0679196 | − | 0.0851685i | −0.746711 | − | 0.665148i | \(-0.768368\pi\) |
0.814631 | + | 0.579980i | \(0.196940\pi\) | |||||||
\(152\) | −0.559953 | + | 5.04760i | −0.0454182 | + | 0.409414i | ||||
\(153\) | −0.329006 | + | 0.940245i | −0.0265986 | + | 0.0760143i | ||||
\(154\) | 3.05016 | + | 2.62184i | 0.245789 | + | 0.211274i | ||||
\(155\) | −7.67309 | + | 4.82132i | −0.616317 | + | 0.387258i | ||||
\(156\) | −0.390407 | + | 0.897624i | −0.0312576 | + | 0.0718675i | ||||
\(157\) | −8.91047 | + | 8.91047i | −0.711133 | + | 0.711133i | −0.966772 | − | 0.255639i | \(-0.917714\pi\) |
0.255639 | + | 0.966772i | \(0.417714\pi\) | |||||||
\(158\) | 4.85334 | + | 0.178818i | 0.386111 | + | 0.0142260i | ||||
\(159\) | 2.03781 | + | 18.0861i | 0.161609 | + | 1.43432i | ||||
\(160\) | 11.1198 | − | 7.62805i | 0.879097 | − | 0.603050i | ||||
\(161\) | −5.90911 | − | 2.84568i | −0.465703 | − | 0.224271i | ||||
\(162\) | 8.42105 | + | 3.29946i | 0.661620 | + | 0.259230i | ||||
\(163\) | 3.79073 | + | 10.8333i | 0.296913 | + | 0.848527i | 0.991615 | + | 0.129230i | \(0.0412505\pi\) |
−0.694702 | + | 0.719298i | \(0.744464\pi\) | |||||||
\(164\) | −0.0933755 | + | 0.496612i | −0.00729140 | + | 0.0387789i | ||||
\(165\) | −11.4674 | + | 5.52239i | −0.892732 | + | 0.429917i | ||||
\(166\) | 1.28292 | + | 16.9889i | 0.0995737 | + | 1.31859i | ||||
\(167\) | 3.03047 | + | 13.2774i | 0.234505 | + | 1.02743i | 0.945854 | + | 0.324593i | \(0.105227\pi\) |
−0.711349 | + | 0.702839i | \(0.751915\pi\) | |||||||
\(168\) | 1.84595 | + | 2.92664i | 0.142418 | + | 0.225795i | ||||
\(169\) | 8.04034 | + | 10.0823i | 0.618488 | + | 0.775559i | ||||
\(170\) | −0.890352 | − | 4.69093i | −0.0682869 | − | 0.359778i | ||||
\(171\) | −0.671883 | + | 1.06930i | −0.0513802 | + | 0.0817711i | ||||
\(172\) | 9.14053 | + | 10.5969i | 0.696959 | + | 0.808008i | ||||
\(173\) | − | 24.7265i | − | 1.87992i | −0.341286 | − | 0.939959i | \(-0.610862\pi\) | ||
0.341286 | − | 0.939959i | \(-0.389138\pi\) | |||||||
\(174\) | 3.47886 | + | 11.0047i | 0.263732 | + | 0.834267i | ||||
\(175\) | 0.550863i | 0.0416413i | ||||||||
\(176\) | −0.494707 | + | 14.0841i | −0.0372899 | + | 1.06163i | ||||
\(177\) | −11.3530 | + | 18.0683i | −0.853346 | + | 1.35809i | ||||
\(178\) | 1.50471 | − | 0.285599i | 0.112783 | − | 0.0214066i | ||||
\(179\) | −6.77352 | − | 8.49373i | −0.506277 | − | 0.634851i | 0.461356 | − | 0.887215i | \(-0.347363\pi\) |
−0.967632 | + | 0.252364i | \(0.918792\pi\) | |||||||
\(180\) | 3.31515 | − | 0.503560i | 0.247097 | − | 0.0375331i | ||||
\(181\) | 0.385929 | + | 1.69087i | 0.0286859 | + | 0.125681i | 0.987244 | − | 0.159218i | \(-0.0508972\pi\) |
−0.958558 | + | 0.284899i | \(0.908040\pi\) | |||||||
\(182\) | −0.367638 | + | 0.0277622i | −0.0272511 | + | 0.00205787i | ||||
\(183\) | −6.52380 | + | 3.14170i | −0.482253 | + | 0.232241i | ||||
\(184\) | −5.15204 | − | 22.3953i | −0.379814 | − | 1.65100i | ||||
\(185\) | 8.40619 | + | 24.0235i | 0.618035 | + | 1.76624i | ||||
\(186\) | 2.97229 | − | 7.58603i | 0.217939 | − | 0.556235i | ||||
\(187\) | 4.49584 | + | 2.16508i | 0.328768 | + | 0.158326i | ||||
\(188\) | 14.9152 | + | 10.9816i | 1.08781 | + | 0.800916i | ||||
\(189\) | 0.507253 | + | 4.50200i | 0.0368972 | + | 0.327472i | ||||
\(190\) | 0.222870 | − | 6.04898i | 0.0161687 | − | 0.438839i | ||||
\(191\) | 9.62634 | − | 9.62634i | 0.696537 | − | 0.696537i | −0.267125 | − | 0.963662i | \(-0.586074\pi\) |
0.963662 | + | 0.267125i | \(0.0860735\pi\) | |||||||
\(192\) | −3.96492 | + | 11.4571i | −0.286144 | + | 0.826848i | ||||
\(193\) | −3.12025 | + | 1.96059i | −0.224601 | + | 0.141126i | −0.639632 | − | 0.768681i | \(-0.720913\pi\) |
0.415032 | + | 0.909807i | \(0.363771\pi\) | |||||||
\(194\) | 11.4426 | − | 13.3119i | 0.821531 | − | 0.955742i | ||||
\(195\) | 0.385330 | − | 1.10121i | 0.0275941 | − | 0.0788593i | ||||
\(196\) | 6.33577 | − | 11.0029i | 0.452555 | − | 0.785925i | ||||
\(197\) | −0.136186 | + | 0.170772i | −0.00970283 | + | 0.0121670i | −0.786659 | − | 0.617387i | \(-0.788191\pi\) |
0.776956 | + | 0.629554i | \(0.216763\pi\) | |||||||
\(198\) | −1.63572 | + | 3.09923i | −0.116246 | + | 0.220253i | ||||
\(199\) | −5.71984 | − | 1.30552i | −0.405468 | − | 0.0925455i | 0.0149224 | − | 0.999889i | \(-0.495250\pi\) |
−0.420391 | + | 0.907343i | \(0.638107\pi\) | |||||||
\(200\) | −1.50696 | + | 1.20600i | −0.106558 | + | 0.0852773i | ||||
\(201\) | −14.4040 | − | 1.62294i | −1.01598 | − | 0.114473i | ||||
\(202\) | 2.85440 | + | 6.53216i | 0.200835 | + | 0.459601i | ||||
\(203\) | −3.05411 | + | 3.09352i | −0.214356 | + | 0.217123i | ||||
\(204\) | 3.15019 | + | 2.91625i | 0.220558 | + | 0.204178i | ||||
\(205\) | 0.0674339 | − | 0.598492i | 0.00470979 | − | 0.0418005i | ||||
\(206\) | 15.1991 | + | 2.28200i | 1.05897 | + | 0.158995i | ||||
\(207\) | 1.27157 | − | 5.57112i | 0.0883803 | − | 0.387219i | ||||
\(208\) | −0.880816 | − | 0.944946i | −0.0610736 | − | 0.0655202i | ||||
\(209\) | 4.94592 | + | 3.94424i | 0.342116 | + | 0.272829i | ||||
\(210\) | −2.45089 | − | 3.31687i | −0.169128 | − | 0.228886i | ||||
\(211\) | 4.92575 | + | 1.72359i | 0.339102 | + | 0.118657i | 0.494458 | − | 0.869202i | \(-0.335367\pi\) |
−0.155356 | + | 0.987859i | \(0.549652\pi\) | |||||||
\(212\) | −22.9605 | − | 7.05361i | −1.57694 | − | 0.484444i | ||||
\(213\) | −0.501067 | − | 0.797444i | −0.0343326 | − | 0.0546400i | ||||
\(214\) | 16.5589 | − | 15.3821i | 1.13194 | − | 1.05150i | ||||
\(215\) | −11.7944 | − | 11.7944i | −0.804372 | − | 0.804372i | ||||
\(216\) | −11.2053 | + | 11.2439i | −0.762426 | + | 0.765049i | ||||
\(217\) | 3.04948 | − | 0.343594i | 0.207012 | − | 0.0233247i | ||||
\(218\) | 5.19516 | + | 8.98641i | 0.351861 | + | 0.608636i | ||||
\(219\) | 6.53431 | − | 13.5686i | 0.441548 | − | 0.916883i | ||||
\(220\) | −0.647276 | − | 16.7846i | −0.0436394 | − | 1.13162i | ||||
\(221\) | −0.431736 | + | 0.151071i | −0.0290417 | + | 0.0101621i | ||||
\(222\) | −18.9143 | − | 12.8797i | −1.26945 | − | 0.864431i | ||||
\(223\) | −7.10390 | − | 14.7514i | −0.475713 | − | 0.987827i | −0.991377 | − | 0.131037i | \(-0.958169\pi\) |
0.515665 | − | 0.856790i | \(-0.327545\pi\) | |||||||
\(224\) | −4.51347 | + | 0.693511i | −0.301569 | + | 0.0463372i | ||||
\(225\) | −0.467922 | + | 0.106800i | −0.0311948 | + | 0.00712000i | ||||
\(226\) | 1.05545 | − | 3.94802i | 0.0702073 | − | 0.262618i | ||||
\(227\) | 0.153161 | − | 0.122142i | 0.0101656 | − | 0.00810682i | −0.618394 | − | 0.785868i | \(-0.712216\pi\) |
0.628559 | + | 0.777762i | \(0.283645\pi\) | |||||||
\(228\) | 3.07085 | + | 4.49305i | 0.203372 | + | 0.297559i | ||||
\(229\) | 7.39703 | + | 4.64786i | 0.488810 | + | 0.307140i | 0.753791 | − | 0.657114i | \(-0.228223\pi\) |
−0.264981 | + | 0.964254i | \(0.585366\pi\) | |||||||
\(230\) | 8.08830 | + | 26.1684i | 0.533326 | + | 1.72549i | ||||
\(231\) | 4.31013 | 0.283586 | ||||||||
\(232\) | −15.1491 | − | 1.58231i | −0.994589 | − | 0.103883i | ||||
\(233\) | −23.0330 | −1.50894 | −0.754470 | − | 0.656334i | \(-0.772106\pi\) | ||||
−0.754470 | + | 0.656334i | \(0.772106\pi\) | |||||||
\(234\) | −0.0948590 | − | 0.306902i | −0.00620113 | − | 0.0200628i | ||||
\(235\) | −18.6923 | − | 11.7452i | −1.21935 | − | 0.766170i | ||||
\(236\) | −15.8905 | − | 23.2499i | −1.03439 | − | 1.51344i | ||||
\(237\) | 4.06895 | − | 3.24488i | 0.264307 | − | 0.210778i | ||||
\(238\) | −0.417588 | + | 1.56204i | −0.0270682 | + | 0.101252i | ||||
\(239\) | −10.0045 | + | 2.28346i | −0.647136 | + | 0.147705i | −0.533476 | − | 0.845815i | \(-0.679115\pi\) |
−0.113660 | + | 0.993520i | \(0.536257\pi\) | |||||||
\(240\) | 3.70803 | − | 13.9664i | 0.239353 | − | 0.901526i | ||||
\(241\) | −1.64863 | − | 3.42341i | −0.106197 | − | 0.220521i | 0.841098 | − | 0.540883i | \(-0.181910\pi\) |
−0.947295 | + | 0.320362i | \(0.896196\pi\) | |||||||
\(242\) | 1.65170 | + | 1.12472i | 0.106175 | + | 0.0723000i | ||||
\(243\) | −6.74401 | + | 2.35983i | −0.432629 | + | 0.151383i | ||||
\(244\) | −0.368237 | − | 9.54880i | −0.0235739 | − | 0.611300i | ||||
\(245\) | −6.56600 | + | 13.6344i | −0.419487 | + | 0.871073i | ||||
\(246\) | 0.271017 | + | 0.468795i | 0.0172794 | + | 0.0298893i | ||||
\(247\) | −0.576226 | + | 0.0649251i | −0.0366644 | + | 0.00413109i | ||||
\(248\) | 7.61617 | + | 7.59006i | 0.483627 | + | 0.481969i | ||||
\(249\) | 12.9098 | + | 12.9098i | 0.818123 | + | 0.818123i | ||||
\(250\) | −10.6642 | + | 9.90627i | −0.674461 | + | 0.626527i | ||||
\(251\) | 12.6419 | + | 20.1195i | 0.797951 | + | 1.26993i | 0.959119 | + | 0.283004i | \(0.0913310\pi\) |
−0.161168 | + | 0.986927i | \(0.551526\pi\) | |||||||
\(252\) | −1.08545 | − | 0.333457i | −0.0683769 | − | 0.0210058i | ||||
\(253\) | −27.0188 | − | 9.45429i | −1.69866 | − | 0.594386i | ||||
\(254\) | 1.25177 | + | 1.69406i | 0.0785431 | + | 0.106295i | ||||
\(255\) | −4.00029 | − | 3.19012i | −0.250508 | − | 0.199773i | ||||
\(256\) | −11.7785 | − | 10.8289i | −0.736158 | − | 0.676809i | ||||
\(257\) | 4.29004 | − | 18.7959i | 0.267606 | − | 1.17246i | −0.645184 | − | 0.764027i | \(-0.723219\pi\) |
0.912790 | − | 0.408429i | \(-0.133923\pi\) | |||||||
\(258\) | 14.8303 | + | 2.22662i | 0.923292 | + | 0.138623i | ||||
\(259\) | 0.965018 | − | 8.56477i | 0.0599633 | − | 0.532189i | ||||
\(260\) | 1.12987 | + | 1.04596i | 0.0700716 | + | 0.0648678i | ||||
\(261\) | −3.21987 | − | 1.99450i | −0.199305 | − | 0.123456i | ||||
\(262\) | 2.68015 | + | 6.13338i | 0.165580 | + | 0.378922i | ||||
\(263\) | 13.0806 | + | 1.47383i | 0.806585 | + | 0.0908803i | 0.505621 | − | 0.862755i | \(-0.331263\pi\) |
0.300963 | + | 0.953636i | \(0.402692\pi\) | |||||||
\(264\) | 9.43616 | + | 11.7910i | 0.580755 | + | 0.725685i | ||||
\(265\) | 27.9109 | + | 6.37047i | 1.71455 | + | 0.391335i | ||||
\(266\) | −0.956774 | + | 1.81282i | −0.0586636 | + | 0.111151i | ||||
\(267\) | 1.02330 | − | 1.28318i | 0.0626249 | − | 0.0785291i | ||||
\(268\) | 9.54575 | − | 16.5775i | 0.583099 | − | 1.01263i | ||||
\(269\) | −0.295349 | + | 0.844060i | −0.0180078 | + | 0.0514632i | −0.952536 | − | 0.304425i | \(-0.901536\pi\) |
0.934529 | + | 0.355888i | \(0.115822\pi\) | |||||||
\(270\) | 12.3331 | − | 14.3479i | 0.750569 | − | 0.873188i | ||||
\(271\) | 21.4380 | − | 13.4704i | 1.30227 | − | 0.818270i | 0.311036 | − | 0.950398i | \(-0.399324\pi\) |
0.991233 | + | 0.132128i | \(0.0421811\pi\) | |||||||
\(272\) | −5.18740 | + | 2.27739i | −0.314532 | + | 0.138087i | ||||
\(273\) | −0.279366 | + | 0.279366i | −0.0169080 | + | 0.0169080i | ||||
\(274\) | −0.153255 | + | 4.15955i | −0.00925850 | + | 0.251287i | ||||
\(275\) | 0.269190 | + | 2.38913i | 0.0162328 | + | 0.144070i | ||||
\(276\) | −19.8305 | − | 14.6006i | −1.19366 | − | 0.878850i | ||||
\(277\) | −13.2401 | − | 6.37612i | −0.795523 | − | 0.383104i | −0.00845063 | − | 0.999964i | \(-0.502690\pi\) |
−0.787072 | + | 0.616861i | \(0.788404\pi\) | |||||||
\(278\) | −3.60249 | + | 9.19446i | −0.216063 | + | 0.551447i | ||||
\(279\) | 0.883087 | + | 2.52372i | 0.0528690 | + | 0.151091i | ||||
\(280\) | 5.30415 | − | 1.22022i | 0.316983 | − | 0.0729222i | ||||
\(281\) | −28.9639 | + | 13.9483i | −1.72784 | + | 0.832086i | −0.740783 | + | 0.671745i | \(0.765545\pi\) |
−0.987062 | + | 0.160341i | \(0.948741\pi\) | |||||||
\(282\) | 19.7918 | − | 1.49458i | 1.17858 | − | 0.0890009i | ||||
\(283\) | 0.804629 | + | 3.52531i | 0.0478302 | + | 0.209558i | 0.993196 | − | 0.116453i | \(-0.0371525\pi\) |
−0.945366 | + | 0.326011i | \(0.894295\pi\) | |||||||
\(284\) | 1.22881 | − | 0.186652i | 0.0729166 | − | 0.0110758i | ||||
\(285\) | −4.04427 | − | 5.07135i | −0.239562 | − | 0.300401i | ||||
\(286\) | −1.58090 | + | 0.300060i | −0.0934807 | + | 0.0177429i | ||||
\(287\) | −0.108511 | + | 0.172694i | −0.00640518 | + | 0.0101938i | ||||
\(288\) | −1.46415 | − | 3.69944i | −0.0862761 | − | 0.217992i | ||||
\(289\) | − | 14.9940i | − | 0.882001i | ||||||
\(290\) | 18.1459 | + | 0.552097i | 1.06557 | + | 0.0324203i | ||||
\(291\) | − | 18.8109i | − | 1.10271i | ||||||
\(292\) | 12.9815 | + | 15.0498i | 0.759682 | + | 0.880725i | ||||
\(293\) | 9.95457 | − | 15.8426i | 0.581552 | − | 0.925535i | −0.418299 | − | 0.908309i | \(-0.637374\pi\) |
0.999852 | − | 0.0172259i | \(-0.00548346\pi\) | |||||||
\(294\) | −2.53714 | − | 13.3672i | −0.147969 | − | 0.779591i | ||||
\(295\) | 20.9276 | + | 26.2424i | 1.21845 | + | 1.52789i | ||||
\(296\) | 25.5429 | − | 16.1109i | 1.48465 | − | 0.936426i | ||||
\(297\) | 4.39998 | + | 19.2776i | 0.255313 | + | 1.11860i | ||||
\(298\) | 1.47947 | + | 19.5917i | 0.0857035 | + | 1.13492i | ||||
\(299\) | 2.36405 | − | 1.13847i | 0.136716 | − | 0.0658392i | ||||
\(300\) | −0.382200 | + | 2.03271i | −0.0220663 | + | 0.117359i | ||||
\(301\) | 1.86556 | + | 5.33146i | 0.107529 | + | 0.307300i | ||||
\(302\) | 1.76261 | + | 0.690611i | 0.101427 | + | 0.0397402i | ||||
\(303\) | 6.88252 | + | 3.31445i | 0.395390 | + | 0.190410i | ||||
\(304\) | −7.05388 | + | 1.35140i | −0.404568 | + | 0.0775081i | ||||
\(305\) | 1.27523 | + | 11.3180i | 0.0730194 | + | 0.648065i | ||||
\(306\) | −1.40781 | − | 0.0518696i | −0.0804790 | − | 0.00296519i | ||||
\(307\) | −23.8429 | + | 23.8429i | −1.36079 | + | 1.36079i | −0.487875 | + | 0.872914i | \(0.662228\pi\) |
−0.872914 | + | 0.487875i | \(0.837772\pi\) | |||||||
\(308\) | −2.26868 | + | 5.21614i | −0.129270 | + | 0.297217i | ||||
\(309\) | 13.9455 | − | 8.76256i | 0.793334 | − | 0.498485i | ||||
\(310\) | −9.71874 | − | 8.35397i | −0.551987 | − | 0.474474i | ||||
\(311\) | 1.28676 | − | 3.67735i | 0.0729656 | − | 0.208524i | −0.901624 | − | 0.432520i | \(-0.857625\pi\) |
0.974590 | + | 0.223996i | \(0.0719103\pi\) | |||||||
\(312\) | −1.37586 | − | 0.152631i | −0.0778929 | − | 0.00864101i | ||||
\(313\) | 7.37697 | − | 9.25042i | 0.416971 | − | 0.522865i | −0.528341 | − | 0.849032i | \(-0.677186\pi\) |
0.945312 | + | 0.326167i | \(0.105757\pi\) | |||||||
\(314\) | −15.7605 | − | 8.31815i | −0.889418 | − | 0.469420i | ||||
\(315\) | 1.31948 | + | 0.301162i | 0.0743440 | + | 0.0169685i | ||||
\(316\) | 1.78524 | + | 6.63225i | 0.100428 | + | 0.373093i | ||||
\(317\) | −9.70027 | − | 1.09296i | −0.544822 | − | 0.0613867i | −0.164736 | − | 0.986338i | \(-0.552677\pi\) |
−0.380086 | + | 0.924951i | \(0.624106\pi\) | |||||||
\(318\) | −23.5859 | + | 10.3065i | −1.32263 | + | 0.577960i | ||||
\(319\) | −11.7342 | + | 14.9093i | −0.656987 | + | 0.834759i | ||||
\(320\) | 14.9504 | + | 11.8388i | 0.835756 | + | 0.661811i | ||||
\(321\) | 2.71170 | − | 24.0670i | 0.151352 | − | 1.34329i | ||||
\(322\) | 1.37716 | − | 9.17248i | 0.0767462 | − | 0.511162i | ||||
\(323\) | −0.565886 | + | 2.47931i | −0.0314868 | + | 0.137952i | ||||
\(324\) | −0.941247 | + | 12.7560i | −0.0522915 | + | 0.708666i | ||||
\(325\) | −0.172302 | − | 0.137406i | −0.00955760 | − | 0.00762193i | ||||
\(326\) | −13.0542 | + | 9.64601i | −0.723008 | + | 0.534243i | ||||
\(327\) | 10.4991 | + | 3.67379i | 0.580601 | + | 0.203161i | ||||
\(328\) | −0.709991 | + | 0.0812315i | −0.0392027 | + | 0.00448526i | ||||
\(329\) | 3.97737 | + | 6.32995i | 0.219279 | + | 0.348981i | ||||
\(330\) | −12.2505 | − | 13.1878i | −0.674370 | − | 0.725965i | ||||
\(331\) | −9.76056 | − | 9.76056i | −0.536489 | − | 0.536489i | 0.386007 | − | 0.922496i | \(-0.373854\pi\) |
−0.922496 | + | 0.386007i | \(0.873854\pi\) | |||||||
\(332\) | −22.4187 | + | 8.82830i | −1.23038 | + | 0.484516i | ||||
\(333\) | 7.46230 | − | 0.840800i | 0.408932 | − | 0.0460755i | ||||
\(334\) | −16.6740 | + | 9.63949i | −0.912363 | + | 0.527450i | ||||
\(335\) | −9.89262 | + | 20.5422i | −0.540492 | + | 1.12234i | ||||
\(336\) | −3.18341 | + | 3.71637i | −0.173669 | + | 0.202744i | ||||
\(337\) | 21.2882 | − | 7.44906i | 1.15964 | − | 0.405776i | 0.319205 | − | 0.947686i | \(-0.396584\pi\) |
0.840437 | + | 0.541909i | \(0.182298\pi\) | |||||||
\(338\) | −10.2648 | + | 15.0742i | −0.558331 | + | 0.819930i | ||||
\(339\) | −1.90010 | − | 3.94560i | −0.103199 | − | 0.214296i | ||||
\(340\) | 5.96629 | − | 3.16202i | 0.323568 | − | 0.171485i | ||||
\(341\) | 13.0579 | − | 2.98038i | 0.707124 | − | 0.161396i | ||||
\(342\) | −1.72537 | − | 0.461252i | −0.0932971 | − | 0.0249417i | ||||
\(343\) | 8.42450 | − | 6.71831i | 0.454880 | − | 0.362755i | ||||
\(344\) | −10.5007 | + | 16.7757i | −0.566161 | + | 0.904483i | ||||
\(345\) | 24.8523 | + | 15.6157i | 1.33800 | + | 0.840723i | ||||
\(346\) | 33.4091 | − | 10.3263i | 1.79608 | − | 0.555144i | ||||
\(347\) | 1.56954 | 0.0842572 | 0.0421286 | − | 0.999112i | \(-0.486586\pi\) | ||||
0.0421286 | + | 0.999112i | \(0.486586\pi\) | |||||||
\(348\) | −13.4162 | + | 9.29625i | −0.719181 | + | 0.498331i | ||||
\(349\) | −0.312423 | −0.0167236 | −0.00836181 | − | 0.999965i | \(-0.502662\pi\) | ||||
−0.00836181 | + | 0.999965i | \(0.502662\pi\) | |||||||
\(350\) | −0.744296 | + | 0.230051i | −0.0397843 | + | 0.0122968i | ||||
\(351\) | −1.53469 | − | 0.964310i | −0.0819157 | − | 0.0514710i | ||||
\(352\) | −19.2363 | + | 5.21340i | −1.02530 | + | 0.277875i | ||||
\(353\) | 9.27715 | − | 7.39828i | 0.493773 | − | 0.393771i | −0.344701 | − | 0.938713i | \(-0.612020\pi\) |
0.838474 | + | 0.544942i | \(0.183448\pi\) | |||||||
\(354\) | −29.1541 | − | 7.79393i | −1.54952 | − | 0.414243i | ||||
\(355\) | −1.44427 | + | 0.329645i | −0.0766537 | + | 0.0174957i | ||||
\(356\) | 1.01428 | + | 1.91381i | 0.0537570 | + | 0.101432i | ||||
\(357\) | 0.751775 | + | 1.56108i | 0.0397882 | + | 0.0826210i | ||||
\(358\) | 8.64750 | − | 12.6992i | 0.457034 | − | 0.671171i | ||||
\(359\) | −25.8036 | + | 9.02906i | −1.36186 | + | 0.476535i | −0.909650 | − | 0.415376i | \(-0.863650\pi\) |
−0.452210 | + | 0.891911i | \(0.649364\pi\) | |||||||
\(360\) | 2.06485 | + | 4.26895i | 0.108827 | + | 0.224993i | ||||
\(361\) | 6.84496 | − | 14.2137i | 0.360261 | − | 0.748090i | ||||
\(362\) | −2.12344 | + | 1.22759i | −0.111605 | + | 0.0645205i | ||||
\(363\) | 2.12789 | − | 0.239756i | 0.111686 | − | 0.0125839i | ||||
\(364\) | −0.191044 | − | 0.485138i | −0.0100134 | − | 0.0254281i | ||||
\(365\) | −16.7505 | − | 16.7505i | −0.876762 | − | 0.876762i | ||||
\(366\) | −6.96936 | − | 7.50256i | −0.364294 | − | 0.392165i | ||||
\(367\) | 1.82129 | + | 2.89856i | 0.0950704 | + | 0.151304i | 0.890873 | − | 0.454252i | \(-0.150094\pi\) |
−0.795803 | + | 0.605556i | \(0.792951\pi\) | |||||||
\(368\) | 28.1077 | − | 16.3139i | 1.46521 | − | 0.850419i | ||||
\(369\) | −0.167730 | − | 0.0586912i | −0.00873166 | − | 0.00305534i | ||||
\(370\) | −28.9487 | + | 21.3907i | −1.50497 | + | 1.11205i | ||||
\(371\) | −7.57968 | − | 6.04459i | −0.393517 | − | 0.313820i | ||||
\(372\) | 11.4911 | + | 0.847914i | 0.595787 | + | 0.0439623i | ||||
\(373\) | −2.14173 | + | 9.38354i | −0.110895 | + | 0.485861i | 0.888729 | + | 0.458433i | \(0.151589\pi\) |
−0.999624 | + | 0.0274284i | \(0.991268\pi\) | |||||||
\(374\) | −1.04779 | + | 6.97871i | −0.0541798 | + | 0.360861i | ||||
\(375\) | −1.74638 | + | 15.4995i | −0.0901824 | + | 0.800391i | ||||
\(376\) | −8.60884 | + | 24.7388i | −0.443967 | + | 1.27581i | ||||
\(377\) | −0.205799 | − | 1.72693i | −0.0105992 | − | 0.0889412i | ||||
\(378\) | −5.87101 | + | 2.56550i | −0.301972 | + | 0.131955i | ||||
\(379\) | 21.2876 | + | 2.39854i | 1.09347 | + | 0.123205i | 0.640230 | − | 0.768183i | \(-0.278839\pi\) |
0.453242 | + | 0.891388i | \(0.350267\pi\) | |||||||
\(380\) | 8.26612 | − | 2.22504i | 0.424043 | − | 0.114142i | ||||
\(381\) | 2.20059 | + | 0.502271i | 0.112740 | + | 0.0257321i | ||||
\(382\) | 17.0267 | + | 8.98643i | 0.871163 | + | 0.459786i | ||||
\(383\) | 14.3027 | − | 17.9350i | 0.730832 | − | 0.916435i | −0.268064 | − | 0.963401i | \(-0.586384\pi\) |
0.998896 | + | 0.0469664i | \(0.0149554\pi\) | |||||||
\(384\) | −17.1361 | − | 0.572451i | −0.874473 | − | 0.0292127i | ||||
\(385\) | 2.23918 | − | 6.39920i | 0.114119 | − | 0.326133i | ||||
\(386\) | −3.95212 | − | 3.39714i | −0.201157 | − | 0.172910i | ||||
\(387\) | −4.16704 | + | 2.61832i | −0.211822 | + | 0.133097i | ||||
\(388\) | 22.7650 | + | 9.90128i | 1.15572 | + | 0.502661i | ||||
\(389\) | −10.2595 | + | 10.2595i | −0.520179 | + | 0.520179i | −0.917625 | − | 0.397446i | \(-0.869897\pi\) |
0.397446 | + | 0.917625i | \(0.369897\pi\) | |||||||
\(390\) | 1.64882 | + | 0.0607495i | 0.0834911 | + | 0.00307617i | ||||
\(391\) | −1.28841 | − | 11.4349i | −0.0651575 | − | 0.578288i | ||||
\(392\) | 17.5125 | + | 3.96550i | 0.884516 | + | 0.200288i | ||||
\(393\) | 6.46235 | + | 3.11210i | 0.325982 | + | 0.156985i | ||||
\(394\) | −0.287611 | − | 0.112689i | −0.0144896 | − | 0.00567720i | ||||
\(395\) | −2.70376 | − | 7.72689i | −0.136041 | − | 0.388782i | ||||
\(396\) | −4.87062 | − | 0.915797i | −0.244758 | − | 0.0460205i | ||||
\(397\) | 2.27435 | − | 1.09527i | 0.114146 | − | 0.0549700i | −0.375939 | − | 0.926644i | \(-0.622680\pi\) |
0.490085 | + | 0.871674i | \(0.336966\pi\) | |||||||
\(398\) | −0.624778 | − | 8.27354i | −0.0313173 | − | 0.414715i | ||||
\(399\) | 0.488786 | + | 2.14151i | 0.0244699 | + | 0.107210i | ||||
\(400\) | −2.25882 | − | 1.53248i | −0.112941 | − | 0.0766238i | ||||
\(401\) | 0.549221 | + | 0.688702i | 0.0274268 | + | 0.0343921i | 0.795356 | − | 0.606143i | \(-0.207284\pi\) |
−0.767929 | + | 0.640535i | \(0.778713\pi\) | |||||||
\(402\) | −3.82256 | − | 20.1396i | −0.190652 | − | 1.00447i | ||||
\(403\) | −0.653186 | + | 1.03954i | −0.0325375 | + | 0.0517832i | ||||
\(404\) | −7.63384 | + | 6.58468i | −0.379798 | + | 0.327600i | ||||
\(405\) | − | 15.2451i | − | 0.757533i | ||||||
\(406\) | −5.45526 | − | 2.83463i | −0.270740 | − | 0.140680i | ||||
\(407\) | − | 37.6175i | − | 1.86463i | ||||||
\(408\) | −2.62469 | + | 5.47425i | −0.129942 | + | 0.271016i | ||||
\(409\) | −18.0925 | + | 28.7941i | −0.894617 | + | 1.42377i | 0.0111220 | + | 0.999938i | \(0.496460\pi\) |
−0.905739 | + | 0.423836i | \(0.860683\pi\) | |||||||
\(410\) | 0.836811 | − | 0.158829i | 0.0413272 | − | 0.00784402i | ||||
\(411\) | 2.78102 | + | 3.48729i | 0.137178 | + | 0.172015i | ||||
\(412\) | 3.26414 | + | 21.4892i | 0.160813 | + | 1.05870i | ||||
\(413\) | −2.52929 | − | 11.0815i | −0.124458 | − | 0.545287i | ||||
\(414\) | 8.05842 | − | 0.608533i | 0.396050 | − | 0.0299078i | ||||
\(415\) | 25.8738 | − | 12.4602i | 1.27009 | − | 0.611645i | ||||
\(416\) | 0.908913 | − | 1.58474i | 0.0445631 | − | 0.0776982i | ||||
\(417\) | 3.49505 | + | 9.98827i | 0.171153 | + | 0.489128i | ||||
\(418\) | −3.26372 | + | 8.32985i | −0.159634 | + | 0.407426i | ||||
\(419\) | 4.42520 | + | 2.13106i | 0.216185 | + | 0.104109i | 0.538842 | − | 0.842407i | \(-0.318862\pi\) |
−0.322657 | + | 0.946516i | \(0.604576\pi\) | |||||||
\(420\) | 3.45803 | − | 4.69670i | 0.168735 | − | 0.229176i | ||||
\(421\) | 1.27506 | + | 11.3165i | 0.0621428 | + | 0.551532i | 0.985753 | + | 0.168199i | \(0.0537952\pi\) |
−0.923610 | + | 0.383333i | \(0.874776\pi\) | |||||||
\(422\) | −0.271734 | + | 7.37520i | −0.0132278 | + | 0.359019i | ||||
\(423\) | −4.60575 | + | 4.60575i | −0.223939 | + | 0.223939i | ||||
\(424\) | −0.0583225 | − | 33.9687i | −0.00283239 | − | 1.64967i | ||||
\(425\) | −0.818362 | + | 0.514211i | −0.0396964 | + | 0.0249429i | ||||
\(426\) | 0.868207 | − | 1.01004i | 0.0420648 | − | 0.0489367i | ||||
\(427\) | 1.27387 | − | 3.64052i | 0.0616470 | − | 0.176177i | ||||
\(428\) | 27.6987 | + | 15.9496i | 1.33887 | + | 0.770954i | ||||
\(429\) | −1.07511 | + | 1.34815i | −0.0519069 | + | 0.0650892i | ||||
\(430\) | 11.0104 | − | 20.8615i | 0.530968 | − | 1.00603i | ||||
\(431\) | 20.8333 | + | 4.75506i | 1.00350 | + | 0.229043i | 0.692541 | − | 0.721379i | \(-0.256491\pi\) |
0.310963 | + | 0.950422i | \(0.399348\pi\) | |||||||
\(432\) | −19.8717 | − | 10.4444i | −0.956077 | − | 0.502505i | ||||
\(433\) | −24.4835 | − | 2.75863i | −1.17660 | − | 0.132571i | −0.498067 | − | 0.867138i | \(-0.665957\pi\) |
−0.678536 | + | 0.734567i | \(0.737385\pi\) | |||||||
\(434\) | 1.73777 | + | 3.97680i | 0.0834156 | + | 0.190892i | ||||
\(435\) | 15.1319 | − | 12.2268i | 0.725517 | − | 0.586230i | ||||
\(436\) | −9.97234 | + | 10.7723i | −0.477588 | + | 0.515901i | ||||
\(437\) | 1.63337 | − | 14.4966i | 0.0781348 | − | 0.693466i | ||||
\(438\) | 21.0621 | + | 3.16227i | 1.00638 | + | 0.151099i | ||||
\(439\) | −5.35851 | + | 23.4772i | −0.255748 | + | 1.12051i | 0.669999 | + | 0.742362i | \(0.266294\pi\) |
−0.925747 | + | 0.378143i | \(0.876563\pi\) | |||||||
\(440\) | 22.4081 | − | 7.88416i | 1.06827 | − | 0.375863i | ||||
\(441\) | 3.49088 | + | 2.78388i | 0.166232 | + | 0.132566i | ||||
\(442\) | −0.384420 | − | 0.520247i | −0.0182850 | − | 0.0247456i | ||||
\(443\) | −30.3796 | − | 10.6303i | −1.44338 | − | 0.505060i | −0.508821 | − | 0.860872i | \(-0.669918\pi\) |
−0.934557 | + | 0.355813i | \(0.884204\pi\) | |||||||
\(444\) | 9.50338 | − | 30.9349i | 0.451010 | − | 1.46810i | ||||
\(445\) | −1.37350 | − | 2.18591i | −0.0651100 | − | 0.103622i | ||||
\(446\) | 16.9646 | − | 15.7589i | 0.803295 | − | 0.746205i | ||||
\(447\) | 14.8877 | + | 14.8877i | 0.704162 | + | 0.704162i | ||||
\(448\) | −2.82195 | − | 5.80873i | −0.133325 | − | 0.274437i | ||||
\(449\) | −15.2668 | + | 1.72015i | −0.720483 | + | 0.0811790i | −0.464590 | − | 0.885526i | \(-0.653798\pi\) |
−0.255893 | + | 0.966705i | \(0.582370\pi\) | |||||||
\(450\) | −0.339716 | − | 0.587628i | −0.0160144 | − | 0.0277011i | ||||
\(451\) | −0.386228 | + | 0.802010i | −0.0181868 | + | 0.0377652i | ||||
\(452\) | 5.77512 | − | 0.222710i | 0.271639 | − | 0.0104754i | ||||
\(453\) | 1.91479 | − | 0.670015i | 0.0899648 | − | 0.0314800i | ||||
\(454\) | 0.228994 | + | 0.155934i | 0.0107472 | + | 0.00731832i | ||||
\(455\) | 0.269637 | + | 0.559907i | 0.0126408 | + | 0.0262488i | ||||
\(456\) | −4.78831 | + | 6.02555i | −0.224233 | + | 0.282172i | ||||
\(457\) | 12.1917 | − | 2.78268i | 0.570304 | − | 0.130168i | 0.0723617 | − | 0.997378i | \(-0.476946\pi\) |
0.497942 | + | 0.867210i | \(0.334089\pi\) | |||||||
\(458\) | −3.19079 | + | 11.9355i | −0.149096 | + | 0.557710i | ||||
\(459\) | −6.21466 | + | 4.95603i | −0.290076 | + | 0.231328i | ||||
\(460\) | −31.9795 | + | 21.8569i | −1.49105 | + | 1.01908i | ||||
\(461\) | −30.3665 | − | 19.0806i | −1.41431 | − | 0.888670i | −0.414539 | − | 0.910032i | \(-0.636057\pi\) |
−0.999772 | + | 0.0213616i | \(0.993200\pi\) | |||||||
\(462\) | 1.80000 | + | 5.82361i | 0.0837434 | + | 0.270939i | ||||
\(463\) | −26.5061 | −1.23184 | −0.615921 | − | 0.787808i | \(-0.711216\pi\) | ||||
−0.615921 | + | 0.787808i | \(0.711216\pi\) | |||||||
\(464\) | −4.18866 | − | 21.1295i | −0.194454 | − | 0.980912i | ||||
\(465\) | −13.7334 | −0.636870 | ||||||||
\(466\) | −9.61904 | − | 31.1209i | −0.445593 | − | 1.44165i | ||||
\(467\) | 33.5547 | + | 21.0838i | 1.55273 | + | 0.975644i | 0.988703 | + | 0.149887i | \(0.0478909\pi\) |
0.564025 | + | 0.825757i | \(0.309252\pi\) | |||||||
\(468\) | 0.375054 | − | 0.256337i | 0.0173369 | − | 0.0118492i | ||||
\(469\) | 6.03654 | − | 4.81398i | 0.278741 | − | 0.222289i | ||||
\(470\) | 8.06313 | − | 30.1611i | 0.371925 | − | 1.39123i | ||||
\(471\) | −18.6182 | + | 4.24948i | −0.857880 | + | 0.195806i | ||||
\(472\) | 24.7778 | − | 31.1800i | 1.14049 | − | 1.43518i | ||||
\(473\) | 10.6964 | + | 22.2113i | 0.491820 | + | 1.02128i | ||||
\(474\) | 6.08359 | + | 4.14262i | 0.279428 | + | 0.190277i | ||||
\(475\) | −1.15652 | + | 0.404685i | −0.0530649 | + | 0.0185682i | ||||
\(476\) | −2.28493 | + | 0.0881152i | −0.104730 | + | 0.00403875i | ||||
\(477\) | 3.66495 | − | 7.61035i | 0.167807 | − | 0.348454i | ||||
\(478\) | −7.26336 | − | 12.5639i | −0.332218 | − | 0.574659i | ||||
\(479\) | −30.7764 | + | 3.46766i | −1.40621 | + | 0.158442i | −0.782225 | − | 0.622996i | \(-0.785915\pi\) |
−0.623983 | + | 0.781438i | \(0.714487\pi\) | |||||||
\(480\) | 20.4192 | − | 0.822551i | 0.932003 | − | 0.0375441i | ||||
\(481\) | 2.43823 | + | 2.43823i | 0.111174 | + | 0.111174i | ||||
\(482\) | 3.93702 | − | 3.65722i | 0.179326 | − | 0.166582i | ||||
\(483\) | −5.28810 | − | 8.41596i | −0.240617 | − | 0.382939i | ||||
\(484\) | −0.829883 | + | 2.70139i | −0.0377220 | + | 0.122790i | ||||
\(485\) | −27.9283 | − | 9.77252i | −1.26816 | − | 0.443747i | ||||
\(486\) | −6.00491 | − | 8.12663i | −0.272388 | − | 0.368631i | ||||
\(487\) | −16.2682 | − | 12.9735i | −0.737184 | − | 0.587885i | 0.181260 | − | 0.983435i | \(-0.441982\pi\) |
−0.918444 | + | 0.395551i | \(0.870554\pi\) | |||||||
\(488\) | 12.7480 | − | 4.48531i | 0.577077 | − | 0.203041i | ||||
\(489\) | −3.87045 | + | 16.9575i | −0.175028 | + | 0.766847i | ||||
\(490\) | −21.1642 | − | 3.17761i | −0.956102 | − | 0.143550i | ||||
\(491\) | 1.55034 | − | 13.7597i | 0.0699661 | − | 0.620966i | −0.908979 | − | 0.416842i | \(-0.863137\pi\) |
0.978945 | − | 0.204124i | \(-0.0654346\pi\) | |||||||
\(492\) | −0.520228 | + | 0.561961i | −0.0234537 | + | 0.0253352i | ||||
\(493\) | −7.44664 | − | 1.64949i | −0.335380 | − | 0.0742892i | ||||
\(494\) | −0.328367 | − | 0.751452i | −0.0147739 | − | 0.0338094i | ||||
\(495\) | 5.86982 | + | 0.661370i | 0.263829 | + | 0.0297264i | ||||
\(496\) | −7.07461 | + | 13.4603i | −0.317659 | + | 0.604386i | ||||
\(497\) | 0.489085 | + | 0.111630i | 0.0219385 | + | 0.00500731i | ||||
\(498\) | −12.0516 | + | 22.8344i | −0.540045 | + | 1.02323i | ||||
\(499\) | −11.5574 | + | 14.4925i | −0.517379 | + | 0.648772i | −0.970050 | − | 0.242905i | \(-0.921900\pi\) |
0.452672 | + | 0.891677i | \(0.350471\pi\) | |||||||
\(500\) | −17.8384 | − | 10.2718i | −0.797757 | − | 0.459368i | ||||
\(501\) | −6.81662 | + | 19.4808i | −0.304544 | + | 0.870337i | ||||
\(502\) | −21.9048 | + | 25.4834i | −0.977661 | + | 1.13738i | ||||
\(503\) | 18.1966 | − | 11.4337i | 0.811346 | − | 0.509802i | −0.0613212 | − | 0.998118i | \(-0.519531\pi\) |
0.872667 | + | 0.488316i | \(0.162389\pi\) | |||||||
\(504\) | −0.00275718 | − | 1.60586i | −0.000122814 | − | 0.0715306i | ||||
\(505\) | 8.49649 | − | 8.49649i | 0.378089 | − | 0.378089i | ||||
\(506\) | 1.49052 | − | 40.4546i | 0.0662617 | − | 1.79843i | ||||
\(507\) | 2.18814 | + | 19.4202i | 0.0971786 | + | 0.862484i | ||||
\(508\) | −1.76616 | + | 2.39880i | −0.0783605 | + | 0.106429i | ||||
\(509\) | −0.209239 | − | 0.100764i | −0.00927436 | − | 0.00446630i | 0.429241 | − | 0.903190i | \(-0.358781\pi\) |
−0.438515 | + | 0.898724i | \(0.644495\pi\) | |||||||
\(510\) | 2.63972 | − | 6.73723i | 0.116889 | − | 0.298329i | ||||
\(511\) | 2.64948 | + | 7.57179i | 0.117206 | + | 0.334956i | ||||
\(512\) | 9.71253 | − | 20.4369i | 0.429237 | − | 0.903192i | ||||
\(513\) | −9.07919 | + | 4.37231i | −0.400856 | + | 0.193042i | ||||
\(514\) | 27.1876 | − | 2.05308i | 1.19919 | − | 0.0905574i | ||||
\(515\) | −5.76476 | − | 25.2570i | −0.254025 | − | 1.11296i | ||||
\(516\) | 3.18492 | + | 20.9677i | 0.140208 | + | 0.923052i | ||||
\(517\) | 20.3434 | + | 25.5098i | 0.894700 | + | 1.12192i | ||||
\(518\) | 11.9753 | − | 2.27294i | 0.526163 | − | 0.0998673i | ||||
\(519\) | 19.9365 | − | 31.7288i | 0.875116 | − | 1.39274i | ||||
\(520\) | −0.941390 | + | 1.96343i | −0.0412827 | + | 0.0861022i | ||||
\(521\) | 36.2599i | 1.58857i | 0.607543 | + | 0.794287i | \(0.292155\pi\) | ||||
−0.607543 | + | 0.794287i | \(0.707845\pi\) | |||||||
\(522\) | 1.35017 | − | 5.18345i | 0.0590955 | − | 0.226874i | ||||
\(523\) | 3.85040i | 0.168366i | 0.996450 | + | 0.0841830i | \(0.0268280\pi\) | ||||
−0.996450 | + | 0.0841830i | \(0.973172\pi\) | |||||||
\(524\) | −7.16781 | + | 6.18269i | −0.313127 | + | 0.270092i | ||||
\(525\) | −0.444151 | + | 0.706862i | −0.0193843 | + | 0.0308500i | ||||
\(526\) | 3.47137 | + | 18.2893i | 0.151359 | + | 0.797451i | ||||
\(527\) | 3.35702 | + | 4.20957i | 0.146234 | + | 0.183372i | ||||
\(528\) | −11.9906 | + | 17.6738i | −0.521824 | + | 0.769152i | ||||
\(529\) | 9.57095 | + | 41.9331i | 0.416128 | + | 1.82318i | ||||
\(530\) | 3.04871 | + | 40.3721i | 0.132427 | + | 1.75365i | ||||
\(531\) | 8.92267 | − | 4.29693i | 0.387211 | − | 0.186471i | ||||
\(532\) | −2.84895 | − | 0.535673i | −0.123517 | − | 0.0232244i | ||||
\(533\) | −0.0269494 | − | 0.0770171i | −0.00116731 | − | 0.00333598i | ||||
\(534\) | 2.16111 | + | 0.846745i | 0.0935203 | + | 0.0366423i | ||||
\(535\) | −34.3232 | − | 16.5292i | −1.48392 | − | 0.714619i | ||||
\(536\) | 26.3851 | + | 5.97459i | 1.13966 | + | 0.258063i | ||||
\(537\) | −1.84338 | − | 16.3604i | −0.0795476 | − | 0.706005i | ||||
\(538\) | −1.26379 | − | 0.0465635i | −0.0544859 | − | 0.00200749i | ||||
\(539\) | 15.8156 | − | 15.8156i | 0.681225 | − | 0.681225i | ||||
\(540\) | 24.5367 | + | 10.6718i | 1.05589 | + | 0.459243i | ||||
\(541\) | −0.604044 | + | 0.379546i | −0.0259699 | + | 0.0163180i | −0.544954 | − | 0.838466i | \(-0.683453\pi\) |
0.518985 | + | 0.854784i | \(0.326310\pi\) | |||||||
\(542\) | 27.1535 | + | 23.3404i | 1.16634 | + | 1.00256i | ||||
\(543\) | −0.868095 | + | 2.48087i | −0.0372535 | + | 0.106464i | ||||
\(544\) | −5.24344 | − | 6.05784i | −0.224811 | − | 0.259728i | ||||
\(545\) | 10.9089 | − | 13.6793i | 0.467284 | − | 0.585956i | ||||
\(546\) | −0.494133 | − | 0.260795i | −0.0211470 | − | 0.0111610i | ||||
\(547\) | −29.6060 | − | 6.75738i | −1.26586 | − | 0.288925i | −0.463679 | − | 0.886003i | \(-0.653471\pi\) |
−0.802183 | + | 0.597079i | \(0.796328\pi\) | |||||||
\(548\) | −5.68416 | + | 1.53004i | −0.242815 | + | 0.0653601i | ||||
\(549\) | 3.33935 | + | 0.376255i | 0.142520 | + | 0.0160582i | ||||
\(550\) | −3.11564 | + | 1.36146i | −0.132851 | + | 0.0580530i | ||||
\(551\) | −8.73845 | − | 4.13941i | −0.372270 | − | 0.176345i | ||||
\(552\) | 11.4458 | − | 32.8914i | 0.487168 | − | 1.39995i | ||||
\(553\) | −0.310387 | + | 2.75476i | −0.0131990 | + | 0.117144i | ||||
\(554\) | 3.08571 | − | 20.5522i | 0.131099 | − | 0.873177i | ||||
\(555\) | −8.58298 | + | 37.6045i | −0.364327 | + | 1.59622i | ||||
\(556\) | −13.9275 | − | 1.02769i | −0.590658 | − | 0.0435839i | ||||
\(557\) | −21.4643 | − | 17.1172i | −0.909471 | − | 0.725279i | 0.0524448 | − | 0.998624i | \(-0.483299\pi\) |
−0.961916 | + | 0.273345i | \(0.911870\pi\) | |||||||
\(558\) | −3.04111 | + | 2.24713i | −0.128741 | + | 0.0951287i | ||||
\(559\) | −2.13295 | − | 0.746351i | −0.0902141 | − | 0.0315673i | ||||
\(560\) | 3.86382 | + | 6.65708i | 0.163276 | + | 0.281313i | ||||
\(561\) | 4.02335 | + | 6.40313i | 0.169866 | + | 0.270340i | ||||
\(562\) | −30.9421 | − | 33.3094i | −1.30521 | − | 1.40507i | ||||
\(563\) | 1.46393 | + | 1.46393i | 0.0616973 | + | 0.0616973i | 0.737282 | − | 0.675585i | \(-0.236109\pi\) |
−0.675585 | + | 0.737282i | \(0.736109\pi\) | |||||||
\(564\) | 10.2848 | + | 26.1174i | 0.433070 | + | 1.09974i | ||||
\(565\) | −6.84511 | + | 0.771259i | −0.287976 | + | 0.0324471i | ||||
\(566\) | −4.42718 | + | 2.55941i | −0.186088 | + | 0.107580i | ||||
\(567\) | −2.23995 | + | 4.65131i | −0.0940692 | + | 0.195337i | ||||
\(568\) | 0.765372 | + | 1.58235i | 0.0321143 | + | 0.0663941i | ||||
\(569\) | −22.2577 | + | 7.78829i | −0.933089 | + | 0.326502i | −0.753657 | − | 0.657268i | \(-0.771712\pi\) |
−0.179433 | + | 0.983770i | \(0.557426\pi\) | |||||||
\(570\) | 5.16317 | − | 7.58229i | 0.216261 | − | 0.317587i | ||||
\(571\) | 19.5965 | + | 40.6925i | 0.820087 | + | 1.70293i | 0.704584 | + | 0.709621i | \(0.251134\pi\) |
0.115503 | + | 0.993307i | \(0.463152\pi\) | |||||||
\(572\) | −1.06564 | − | 2.01072i | −0.0445567 | − | 0.0840723i | ||||
\(573\) | 20.1140 | − | 4.59088i | 0.840273 | − | 0.191787i | ||||
\(574\) | −0.278651 | − | 0.0744933i | −0.0116307 | − | 0.00310929i | ||||
\(575\) | 4.33474 | − | 3.45684i | 0.180771 | − | 0.144160i | ||||
\(576\) | 4.38702 | − | 3.52325i | 0.182793 | − | 0.146802i | ||||
\(577\) | −1.83223 | − | 1.15127i | −0.0762769 | − | 0.0479280i | 0.493354 | − | 0.869829i | \(-0.335771\pi\) |
−0.569631 | + | 0.821901i | \(0.692914\pi\) | |||||||
\(578\) | 20.2591 | − | 6.26181i | 0.842668 | − | 0.260457i | ||||
\(579\) | −5.58466 | −0.232091 | ||||||||
\(580\) | 6.83214 | + | 24.7483i | 0.283689 | + | 1.02762i | ||||
\(581\) | −9.72494 | −0.403459 | ||||||||
\(582\) | 25.4162 | − | 7.85580i | 1.05354 | − | 0.325633i | ||||
\(583\) | −35.8274 | − | 22.5118i | −1.48382 | − | 0.932345i | ||||
\(584\) | −14.9132 | + | 23.8249i | −0.617113 | + | 0.985883i | ||||
\(585\) | −0.423327 | + | 0.337592i | −0.0175024 | + | 0.0139577i | ||||
\(586\) | 25.5629 | + | 6.83388i | 1.05599 | + | 0.282305i | ||||
\(587\) | 37.1598 | − | 8.48148i | 1.53375 | − | 0.350068i | 0.629475 | − | 0.777021i | \(-0.283270\pi\) |
0.904274 | + | 0.426952i | \(0.140413\pi\) | |||||||
\(588\) | 17.0015 | − | 9.01046i | 0.701129 | − | 0.371585i | ||||
\(589\) | 2.96163 | + | 6.14989i | 0.122032 | + | 0.253402i | ||||
\(590\) | −26.7175 | + | 39.2357i | −1.09994 | + | 1.61531i | ||||
\(591\) | −0.312442 | + | 0.109328i | −0.0128522 | + | 0.00449717i | ||||
\(592\) | 32.4354 | + | 27.7839i | 1.33309 | + | 1.14191i | ||||
\(593\) | 8.59926 | − | 17.8566i | 0.353129 | − | 0.733281i | −0.646430 | − | 0.762974i | \(-0.723739\pi\) |
0.999559 | + | 0.0296929i | \(0.00945292\pi\) | |||||||
\(594\) | −24.2093 | + | 13.9957i | −0.993319 | + | 0.574251i | ||||
\(595\) | 2.70827 | − | 0.305149i | 0.111028 | − | 0.0125099i | ||||
\(596\) | −25.8534 | + | 10.1809i | −1.05900 | + | 0.417025i | ||||
\(597\) | −6.28702 | − | 6.28702i | −0.257311 | − | 0.257311i | ||||
\(598\) | 2.52551 | + | 2.71873i | 0.103276 | + | 0.111177i | ||||
\(599\) | 12.4672 | + | 19.8415i | 0.509397 | + | 0.810701i | 0.998091 | − | 0.0617540i | \(-0.0196694\pi\) |
−0.488694 | + | 0.872455i | \(0.662527\pi\) | |||||||
\(600\) | −2.90610 | + | 0.332493i | −0.118641 | + | 0.0135740i | ||||
\(601\) | 30.6784 | + | 10.7348i | 1.25140 | + | 0.437883i | 0.872981 | − | 0.487754i | \(-0.162184\pi\) |
0.378415 | + | 0.925636i | \(0.376469\pi\) | |||||||
\(602\) | −6.42449 | + | 4.74717i | −0.261842 | + | 0.193480i | ||||
\(603\) | 5.25951 | + | 4.19432i | 0.214184 | + | 0.170806i | ||||
\(604\) | −0.197013 | + | 2.66996i | −0.00801634 | + | 0.108639i | ||||
\(605\) | 0.749510 | − | 3.28382i | 0.0304719 | − | 0.133506i | ||||
\(606\) | −1.60402 | + | 10.6835i | −0.0651589 | + | 0.433986i | ||||
\(607\) | −0.484865 | + | 4.30330i | −0.0196801 | + | 0.174665i | −0.999707 | − | 0.0241985i | \(-0.992297\pi\) |
0.980027 | + | 0.198864i | \(0.0637252\pi\) | |||||||
\(608\) | −4.77178 | − | 8.96645i | −0.193521 | − | 0.363637i | ||||
\(609\) | −6.41326 | + | 1.50711i | −0.259878 | + | 0.0610711i | ||||
\(610\) | −14.7597 | + | 6.44963i | −0.597601 | + | 0.261138i | ||||
\(611\) | −2.97203 | − | 0.334867i | −0.120235 | − | 0.0135473i | ||||
\(612\) | −0.517845 | − | 1.92381i | −0.0209327 | − | 0.0777656i | ||||
\(613\) | 9.88205 | + | 2.25551i | 0.399132 | + | 0.0910993i | 0.417375 | − | 0.908734i | \(-0.362950\pi\) |
−0.0182430 | + | 0.999834i | \(0.505807\pi\) | |||||||
\(614\) | −42.1726 | − | 22.2580i | −1.70195 | − | 0.898259i | ||||
\(615\) | 0.569084 | − | 0.713609i | 0.0229477 | − | 0.0287755i | ||||
\(616\) | −7.99521 | − | 0.886945i | −0.322136 | − | 0.0357360i | ||||
\(617\) | 4.45182 | − | 12.7226i | 0.179223 | − | 0.512191i | −0.818865 | − | 0.573985i | \(-0.805397\pi\) |
0.998089 | + | 0.0617944i | \(0.0196823\pi\) | |||||||
\(618\) | 17.6634 | + | 15.1830i | 0.710527 | + | 0.610751i | ||||
\(619\) | 10.0557 | − | 6.31840i | 0.404172 | − | 0.253958i | −0.314571 | − | 0.949234i | \(-0.601861\pi\) |
0.718743 | + | 0.695276i | \(0.244718\pi\) | |||||||
\(620\) | 7.22869 | − | 16.6202i | 0.290311 | − | 0.667484i | ||||
\(621\) | 32.2431 | − | 32.2431i | 1.29387 | − | 1.29387i | ||||
\(622\) | 5.50602 | + | 0.202865i | 0.220771 | + | 0.00813415i | ||||
\(623\) | 0.0978830 | + | 0.868735i | 0.00392160 | + | 0.0348051i | ||||
\(624\) | −0.368362 | − | 1.92273i | −0.0147463 | − | 0.0769709i | ||||
\(625\) | 25.1788 | + | 12.1255i | 1.00715 | + | 0.485018i | ||||
\(626\) | 15.5794 | + | 6.10419i | 0.622679 | + | 0.243972i | ||||
\(627\) | 3.16639 | + | 9.04902i | 0.126453 | + | 0.361383i | ||||
\(628\) | 4.65711 | − | 24.7686i | 0.185839 | − | 0.988374i | ||||
\(629\) | 13.6246 | − | 6.56128i | 0.543250 | − | 0.261615i | ||||
\(630\) | 0.144126 | + | 1.90857i | 0.00574213 | + | 0.0760394i | ||||
\(631\) | 4.46687 | + | 19.5706i | 0.177823 | + | 0.779095i | 0.982633 | + | 0.185561i | \(0.0594104\pi\) |
−0.804809 | + | 0.593533i | \(0.797732\pi\) | |||||||
\(632\) | −8.21558 | + | 5.18189i | −0.326798 | + | 0.206124i | ||||
\(633\) | 4.93097 | + | 6.18324i | 0.195988 | + | 0.245762i | ||||
\(634\) | −2.57428 | − | 13.5629i | −0.102238 | − | 0.538652i | ||||
\(635\) | 1.88896 | − | 3.00626i | 0.0749610 | − | 0.119300i | ||||
\(636\) | −23.7755 | − | 27.5638i | −0.942761 | − | 1.09298i | ||||
\(637\) | 2.05021i | 0.0812324i | ||||||||
\(638\) | −25.0450 | − | 9.62814i | −0.991542 | − | 0.381182i | ||||
\(639\) | 0.437088i | 0.0172909i | ||||||||
\(640\) | −9.75237 | + | 25.1444i | −0.385496 | + | 0.993918i | ||||
\(641\) | −3.70209 | + | 5.89185i | −0.146224 | + | 0.232714i | −0.911803 | − | 0.410628i | \(-0.865310\pi\) |
0.765579 | + | 0.643342i | \(0.222452\pi\) | |||||||
\(642\) | 33.6505 | − | 6.38697i | 1.32808 | − | 0.252073i | ||||
\(643\) | −13.0100 | − | 16.3141i | −0.513066 | − | 0.643364i | 0.456055 | − | 0.889952i | \(-0.349262\pi\) |
−0.969121 | + | 0.246588i | \(0.920691\pi\) | |||||||
\(644\) | 12.9685 | − | 1.96987i | 0.511030 | − | 0.0776237i | ||||
\(645\) | −5.62485 | − | 24.6441i | −0.221478 | − | 0.970360i | ||||
\(646\) | −3.58623 | + | 0.270815i | −0.141098 | + | 0.0106551i | ||||
\(647\) | −20.3721 | + | 9.81068i | −0.800909 | + | 0.385698i | −0.789125 | − | 0.614233i | \(-0.789465\pi\) |
−0.0117845 | + | 0.999931i | \(0.503751\pi\) | |||||||
\(648\) | −17.6283 | + | 4.05539i | −0.692504 | + | 0.159311i | ||||
\(649\) | −16.3849 | − | 46.8254i | −0.643164 | − | 1.83806i | ||||
\(650\) | 0.113699 | − | 0.290189i | 0.00445965 | − | 0.0113821i | ||||
\(651\) | 4.19010 | + | 2.01784i | 0.164223 | + | 0.0790855i | ||||
\(652\) | −18.4849 | − | 13.6098i | −0.723924 | − | 0.533001i | ||||
\(653\) | 2.26939 | + | 20.1414i | 0.0888083 | + | 0.788195i | 0.956627 | + | 0.291315i | \(0.0940927\pi\) |
−0.867819 | + | 0.496881i | \(0.834479\pi\) | |||||||
\(654\) | −0.579193 | + | 15.7200i | −0.0226482 | + | 0.614702i | ||||
\(655\) | 7.97779 | − | 7.97779i | 0.311718 | − | 0.311718i | ||||
\(656\) | −0.406262 | − | 0.925377i | −0.0158619 | − | 0.0361299i | ||||
\(657\) | −5.91806 | + | 3.71856i | −0.230886 | + | 0.145075i | ||||
\(658\) | −6.89165 | + | 8.01752i | −0.268664 | + | 0.312555i | ||||
\(659\) | 2.78570 | − | 7.96108i | 0.108516 | − | 0.310120i | −0.876802 | − | 0.480852i | \(-0.840328\pi\) |
0.985317 | + | 0.170732i | \(0.0546133\pi\) | |||||||
\(660\) | 12.7026 | − | 22.0598i | 0.494446 | − | 0.858675i | ||||
\(661\) | −8.05047 | + | 10.0950i | −0.313127 | + | 0.392649i | −0.913344 | − | 0.407188i | \(-0.866509\pi\) |
0.600217 | + | 0.799837i | \(0.295081\pi\) | |||||||
\(662\) | 9.11173 | − | 17.2641i | 0.354137 | − | 0.670990i | ||||
\(663\) | −0.675805 | − | 0.154248i | −0.0262461 | − | 0.00599050i | ||||
\(664\) | −21.2908 | − | 26.6040i | −0.826243 | − | 1.03243i | ||||
\(665\) | 3.43341 | + | 0.386852i | 0.133142 | + | 0.0150015i | ||||
\(666\) | 4.25245 | + | 9.73152i | 0.164779 | + | 0.377089i | ||||
\(667\) | 43.5085 | + | 4.61993i | 1.68466 | + | 0.178884i | ||||
\(668\) | −19.9878 | − | 18.5034i | −0.773350 | − | 0.715918i | ||||
\(669\) | 2.77813 | − | 24.6566i | 0.107409 | − | 0.953280i | ||||
\(670\) | −31.8869 | − | 4.78752i | −1.23190 | − | 0.184958i | ||||
\(671\) | 3.74585 | − | 16.4117i | 0.144607 | − | 0.633565i | ||||
\(672\) | −6.35081 | − | 2.74922i | −0.244988 | − | 0.106054i | ||||
\(673\) | −16.9507 | − | 13.5177i | −0.653400 | − | 0.521069i | 0.239746 | − | 0.970836i | \(-0.422936\pi\) |
−0.893146 | + | 0.449766i | \(0.851507\pi\) | |||||||
\(674\) | 18.9551 | + | 25.6526i | 0.730125 | + | 0.988100i | ||||
\(675\) | −3.61494 | − | 1.26492i | −0.139139 | − | 0.0486868i | ||||
\(676\) | −24.6543 | − | 7.57394i | −0.948240 | − | 0.291305i | ||||
\(677\) | 13.9505 | + | 22.2021i | 0.536162 | + | 0.853297i | 0.999458 | − | 0.0329067i | \(-0.0104764\pi\) |
−0.463297 | + | 0.886203i | \(0.653334\pi\) | |||||||
\(678\) | 4.53756 | − | 4.21507i | 0.174264 | − | 0.161879i | ||||
\(679\) | 7.08513 | + | 7.08513i | 0.271902 | + | 0.271902i | ||||
\(680\) | 6.76399 | + | 6.74080i | 0.259387 | + | 0.258498i | ||||
\(681\) | 0.295015 | − | 0.0332402i | 0.0113050 | − | 0.00127377i | ||||
\(682\) | 9.48016 | + | 16.3984i | 0.363014 | + | 0.627929i | ||||
\(683\) | −9.86243 | + | 20.4795i | −0.377375 | + | 0.783628i | 0.622624 | + | 0.782521i | \(0.286067\pi\) |
−0.999999 | + | 0.00110699i | \(0.999648\pi\) | |||||||
\(684\) | −0.0973287 | − | 2.52385i | −0.00372146 | − | 0.0965017i | ||||
\(685\) | 6.62232 | − | 2.31725i | 0.253026 | − | 0.0885375i | ||||
\(686\) | 12.5957 | + | 8.57702i | 0.480904 | + | 0.327472i | ||||
\(687\) | 5.74431 | + | 11.9282i | 0.219159 | + | 0.455089i | ||||
\(688\) | −27.0517 | − | 7.18214i | −1.03134 | − | 0.273817i | ||||
\(689\) | 3.78133 | − | 0.863064i | 0.144057 | − | 0.0328801i | ||||
\(690\) | −10.7203 | + | 40.1005i | −0.408115 | + | 1.52660i | ||||
\(691\) | −10.9428 | + | 8.72658i | −0.416283 | + | 0.331975i | −0.809131 | − | 0.587629i | \(-0.800062\pi\) |
0.392847 | + | 0.919604i | \(0.371490\pi\) | |||||||
\(692\) | 27.9046 | + | 40.8280i | 1.06077 | + | 1.55205i | ||||
\(693\) | −1.69373 | − | 1.06424i | −0.0643393 | − | 0.0404271i | ||||
\(694\) | 0.655471 | + | 2.12067i | 0.0248813 | + | 0.0804997i | ||||
\(695\) | 16.6452 | 0.631388 | ||||||||
\(696\) | −18.1634 | − | 14.2449i | −0.688483 | − | 0.539951i | ||||
\(697\) | −0.357845 | −0.0135543 | ||||||||
\(698\) | −0.130474 | − | 0.422129i | −0.00493852 | − | 0.0159778i | ||||
\(699\) | −29.5557 | − | 18.5711i | −1.11790 | − | 0.702423i | ||||
\(700\) | −0.621666 | − | 0.909577i | −0.0234968 | − | 0.0343788i | ||||
\(701\) | 3.73815 | − | 2.98108i | 0.141188 | − | 0.112594i | −0.550349 | − | 0.834935i | \(-0.685505\pi\) |
0.691537 | + | 0.722341i | \(0.256934\pi\) | |||||||
\(702\) | 0.662005 | − | 2.47630i | 0.0249858 | − | 0.0934621i | ||||
\(703\) | 18.6905 | − | 4.26598i | 0.704925 | − | 0.160894i | ||||
\(704\) | −15.0775 | − | 23.8138i | −0.568256 | − | 0.897518i | ||||
\(705\) | −14.5159 | − | 30.1426i | −0.546700 | − | 1.13523i | ||||
\(706\) | 13.8705 | + | 9.44511i | 0.522022 | + | 0.355471i | ||||
\(707\) | −3.84069 | + | 1.34392i | −0.144444 | + | 0.0505432i | ||||
\(708\) | −1.64460 | − | 42.6463i | −0.0618077 | − | 1.60275i | ||||
\(709\) | −9.78617 | + | 20.3212i | −0.367527 | + | 0.763178i | −0.999934 | − | 0.0114580i | \(-0.996353\pi\) |
0.632407 | + | 0.774636i | \(0.282067\pi\) | |||||||
\(710\) | −1.04855 | − | 1.81375i | −0.0393515 | − | 0.0680688i | ||||
\(711\) | −2.40017 | + | 0.270434i | −0.0900133 | + | 0.0101421i | ||||
\(712\) | −2.16226 | + | 2.16969i | −0.0810340 | + | 0.0813127i | ||||
\(713\) | −21.8402 | − | 21.8402i | −0.817922 | − | 0.817922i | ||||
\(714\) | −1.79529 | + | 1.66770i | −0.0671869 | + | 0.0624119i | ||||
\(715\) | 1.44304 | + | 2.29659i | 0.0539667 | + | 0.0858876i | ||||
\(716\) | 20.7698 | + | 6.38060i | 0.776203 | + | 0.238454i | ||||
\(717\) | −14.6788 | − | 5.13632i | −0.548189 | − | 0.191820i | ||||
\(718\) | −22.9757 | − | 31.0936i | −0.857444 | − | 1.16040i | ||||
\(719\) | −1.53980 | − | 1.22795i | −0.0574249 | − | 0.0457949i | 0.594357 | − | 0.804202i | \(-0.297407\pi\) |
−0.651782 | + | 0.758407i | \(0.725978\pi\) | |||||||
\(720\) | −4.90565 | + | 4.57272i | −0.182823 | + | 0.170415i | ||||
\(721\) | −1.95217 | + | 8.55302i | −0.0727026 | + | 0.318531i | ||||
\(722\) | 22.0634 | + | 3.31261i | 0.821114 | + | 0.123282i | ||||
\(723\) | 0.644731 | − | 5.72214i | 0.0239778 | − | 0.212809i | ||||
\(724\) | −2.54544 | − | 2.35640i | −0.0946004 | − | 0.0875751i | ||||
\(725\) | −1.23594 | − | 3.46078i | −0.0459017 | − | 0.128530i | ||||
\(726\) | 1.21260 | + | 2.77497i | 0.0450037 | + | 0.102989i | ||||
\(727\) | 40.5497 | + | 4.56885i | 1.50390 | + | 0.169449i | 0.825149 | − | 0.564916i | \(-0.191091\pi\) |
0.678755 | + | 0.734365i | \(0.262520\pi\) | |||||||
\(728\) | 0.575708 | − | 0.460731i | 0.0213372 | − | 0.0170758i | ||||
\(729\) | −29.2615 | − | 6.67875i | −1.08376 | − | 0.247361i | ||||
\(730\) | 15.6370 | − | 29.6277i | 0.578752 | − | 1.09657i | ||||
\(731\) | −6.17899 | + | 7.74820i | −0.228538 | + | 0.286578i | ||||
\(732\) | 7.22651 | − | 12.5498i | 0.267100 | − | 0.463855i | ||||
\(733\) | −11.8514 | + | 33.8694i | −0.437742 | + | 1.25100i | 0.488001 | + | 0.872843i | \(0.337726\pi\) |
−0.925743 | + | 0.378153i | \(0.876559\pi\) | |||||||
\(734\) | −3.15577 | + | 3.67132i | −0.116482 | + | 0.135511i | ||||
\(735\) | −19.4186 | + | 12.2015i | −0.716267 | + | 0.450061i | ||||
\(736\) | 33.7807 | + | 31.1645i | 1.24517 | + | 1.14874i | ||||
\(737\) | 23.8284 | − | 23.8284i | 0.877731 | − | 0.877731i | ||||
\(738\) | 0.00925299 | − | 0.251138i | 0.000340607 | − | 0.00924452i | ||||
\(739\) | −4.52551 | − | 40.1650i | −0.166474 | − | 1.47749i | −0.747855 | − | 0.663862i | \(-0.768916\pi\) |
0.581381 | − | 0.813631i | \(-0.302512\pi\) | |||||||
\(740\) | −40.9915 | − | 30.1807i | −1.50688 | − | 1.10946i | ||||
\(741\) | −0.791756 | − | 0.381290i | −0.0290859 | − | 0.0140070i | ||||
\(742\) | 5.00170 | − | 12.7656i | 0.183618 | − | 0.468640i | ||||
\(743\) | 5.74850 | + | 16.4283i | 0.210892 | + | 0.602695i | 0.999932 | − | 0.0116466i | \(-0.00370732\pi\) |
−0.789040 | + | 0.614342i | \(0.789422\pi\) | |||||||
\(744\) | 3.65327 | + | 15.8803i | 0.133935 | + | 0.582199i | ||||
\(745\) | 29.8379 | − | 14.3692i | 1.09317 | − | 0.526445i | ||||
\(746\) | −13.5730 | + | 1.02496i | −0.496941 | + | 0.0375266i | ||||
\(747\) | −1.88545 | − | 8.26070i | −0.0689851 | − | 0.302243i | ||||
\(748\) | −9.86683 | + | 1.49874i | −0.360767 | + | 0.0547993i | ||||
\(749\) | 8.04349 | + | 10.0862i | 0.293903 | + | 0.368542i | ||||
\(750\) | −21.6714 | + | 4.11330i | −0.791328 | + | 0.150196i | ||||
\(751\) | −14.2990 | + | 22.7568i | −0.521779 | + | 0.830406i | −0.998825 | − | 0.0484725i | \(-0.984565\pi\) |
0.477046 | + | 0.878878i | \(0.341708\pi\) | |||||||
\(752\) | −37.0209 | − | 1.30036i | −1.35001 | − | 0.0474194i | ||||
\(753\) | 36.0101i | 1.31228i | ||||||||
\(754\) | 2.24738 | − | 0.999264i | 0.0818449 | − | 0.0363910i | ||||
\(755\) | − | 3.19095i | − | 0.116131i | ||||||
\(756\) | −5.91821 | − | 6.86119i | −0.215243 | − | 0.249539i | ||||
\(757\) | 1.85965 | − | 2.95962i | 0.0675901 | − | 0.107569i | −0.811219 | − | 0.584742i | \(-0.801196\pi\) |
0.878809 | + | 0.477173i | \(0.158339\pi\) | |||||||
\(758\) | 5.64937 | + | 29.7644i | 0.205194 | + | 1.08109i | ||||
\(759\) | −27.0475 | − | 33.9164i | −0.981760 | − | 1.23109i | ||||
\(760\) | 6.45846 | + | 10.2395i | 0.234273 | + | 0.371426i | ||||
\(761\) | −7.63857 | − | 33.4668i | −0.276898 | − | 1.21317i | −0.901692 | − | 0.432379i | \(-0.857674\pi\) |
0.624794 | − | 0.780790i | \(-0.285183\pi\) | |||||||
\(762\) | 0.240371 | + | 3.18308i | 0.00870772 | + | 0.115311i | ||||
\(763\) | −5.33822 | + | 2.57075i | −0.193257 | + | 0.0930675i | ||||
\(764\) | −5.03126 | + | 26.7585i | −0.182025 | + | 0.968089i | ||||
\(765\) | 0.784278 | + | 2.24134i | 0.0283556 | + | 0.0810357i | ||||
\(766\) | 30.2058 | + | 11.8350i | 1.09138 | + | 0.427615i | ||||
\(767\) | 4.09705 | + | 1.97304i | 0.147936 | + | 0.0712423i | ||||
\(768\) | −6.38292 | − | 23.3924i | −0.230324 | − | 0.844101i | ||||
\(769\) | −4.27040 | − | 37.9009i | −0.153995 | − | 1.36674i | −0.798433 | − | 0.602084i | \(-0.794337\pi\) |
0.644438 | − | 0.764657i | \(-0.277091\pi\) | |||||||
\(770\) | 9.58137 | + | 0.353018i | 0.345289 | + | 0.0127219i | ||||
\(771\) | 20.6597 | − | 20.6597i | 0.744042 | − | 0.744042i | ||||
\(772\) | 2.93954 | − | 6.75860i | 0.105796 | − | 0.243247i | ||||
\(773\) | 14.7935 | − | 9.29536i | 0.532085 | − | 0.334331i | −0.239046 | − | 0.971008i | \(-0.576835\pi\) |
0.771130 | + | 0.636677i | \(0.219692\pi\) | |||||||
\(774\) | −5.27797 | − | 4.53681i | −0.189713 | − | 0.163072i | ||||
\(775\) | −0.856808 | + | 2.44862i | −0.0307775 | + | 0.0879569i | ||||
\(776\) | −3.87093 | + | 34.8938i | −0.138958 | + | 1.25262i | ||||
\(777\) | 8.14392 | − | 10.2122i | 0.292162 | − | 0.366359i | ||||
\(778\) | −18.1467 | − | 9.57754i | −0.650591 | − | 0.343371i | ||||
\(779\) | −0.442283 | − | 0.100948i | −0.0158464 | − | 0.00361684i | ||||
\(780\) | 0.606498 | + | 2.25316i | 0.0217161 | + | 0.0806761i | ||||
\(781\) | 2.17574 | + | 0.245148i | 0.0778543 | + | 0.00877207i | ||||
\(782\) | 14.9122 | − | 6.51627i | 0.533258 | − | 0.233021i | ||||
\(783\) | −13.2877 | − | 27.1455i | −0.474863 | − | 0.970103i | ||||
\(784\) | 1.95562 | + | 25.3180i | 0.0698436 | + | 0.904216i | ||||
\(785\) | −3.36327 | + | 29.8499i | −0.120040 | + | 1.06539i | ||||
\(786\) | −1.50610 | + | 10.0313i | −0.0537207 | + | 0.357803i | ||||
\(787\) | 8.51971 | − | 37.3273i | 0.303695 | − | 1.33057i | −0.560808 | − | 0.827946i | \(-0.689509\pi\) |
0.864503 | − | 0.502628i | \(-0.167634\pi\) | |||||||
\(788\) | 0.0321472 | − | 0.435666i | 0.00114520 | − | 0.0155199i | ||||
\(789\) | 15.5966 | + | 12.4379i | 0.555253 | + | 0.442800i | ||||
\(790\) | 9.31101 | − | 6.88007i | 0.331271 | − | 0.244782i | ||||
\(791\) | 2.20179 | + | 0.770438i | 0.0782865 | + | 0.0273936i | ||||
\(792\) | −0.796693 | − | 6.96337i | −0.0283093 | − | 0.247433i | ||||
\(793\) | 0.820950 | + | 1.30653i | 0.0291528 | + | 0.0463964i | ||||
\(794\) | 2.42968 | + | 2.61557i | 0.0862261 | + | 0.0928231i | ||||
\(795\) | 30.6786 | + | 30.6786i | 1.08806 | + | 1.08806i | ||||
\(796\) | 10.9178 | − | 4.29936i | 0.386972 | − | 0.152387i | ||||
\(797\) | −2.76050 | + | 0.311034i | −0.0977821 | + | 0.0110174i | −0.160720 | − | 0.987000i | \(-0.551382\pi\) |
0.0629378 | + | 0.998017i | \(0.479953\pi\) | |||||||
\(798\) | −2.68936 | + | 1.55476i | −0.0952025 | + | 0.0550378i | ||||
\(799\) | −5.69104 | + | 11.8176i | −0.201334 | + | 0.418075i | ||||
\(800\) | 1.12727 | − | 3.69199i | 0.0398550 | − | 0.130532i | ||||
\(801\) | −0.718956 | + | 0.251574i | −0.0254031 | + | 0.00888892i | ||||
\(802\) | −0.701170 | + | 1.02969i | −0.0247592 | + | 0.0363597i | ||||
\(803\) | 15.1911 | + | 31.5446i | 0.536082 | + | 1.11319i | ||||
\(804\) | 25.6152 | − | 13.5755i | 0.903377 | − | 0.478772i | ||||
\(805\) | −15.2423 | + | 3.47896i | −0.537221 | + | 0.122617i | ||||
\(806\) | −1.67735 | − | 0.448417i | −0.0590822 | − | 0.0157948i | ||||
\(807\) | −1.05954 | + | 0.844955i | −0.0372976 | + | 0.0297438i | ||||
\(808\) | −12.0849 | − | 7.56454i | −0.425145 | − | 0.266120i | ||||
\(809\) | −10.8030 | − | 6.78797i | −0.379813 | − | 0.238652i | 0.328571 | − | 0.944479i | \(-0.393433\pi\) |
−0.708384 | + | 0.705827i | \(0.750576\pi\) | |||||||
\(810\) | 20.5983 | − | 6.36664i | 0.723750 | − | 0.223701i | ||||
\(811\) | −20.8050 | −0.730561 | −0.365281 | − | 0.930897i | \(-0.619027\pi\) | ||||
−0.365281 | + | 0.930897i | \(0.619027\pi\) | |||||||
\(812\) | 1.55177 | − | 8.55464i | 0.0544563 | − | 0.300209i | ||||
\(813\) | 38.3701 | 1.34570 | ||||||||
\(814\) | 50.8268 | − | 15.7098i | 1.78148 | − | 0.550630i | ||||
\(815\) | 23.1659 | + | 14.5561i | 0.811466 | + | 0.509878i | ||||
\(816\) | −8.49264 | − | 1.26018i | −0.297302 | − | 0.0441152i | ||||
\(817\) | −9.82277 | + | 7.83340i | −0.343655 | + | 0.274056i | ||||
\(818\) | −46.4607 | − | 12.4206i | −1.62446 | − | 0.434277i | ||||
\(819\) | 0.178761 | − | 0.0408010i | 0.00624641 | − | 0.00142570i | ||||
\(820\) | 0.564071 | + | 1.06432i | 0.0196982 | + | 0.0371678i | ||||
\(821\) | 12.2344 | + | 25.4050i | 0.426984 | + | 0.886642i | 0.997846 | + | 0.0655959i | \(0.0208948\pi\) |
−0.570862 | + | 0.821046i | \(0.693391\pi\) | |||||||
\(822\) | −3.55042 | + | 5.21392i | −0.123835 | + | 0.181857i | ||||
\(823\) | 43.0644 | − | 15.0689i | 1.50113 | − | 0.525268i | 0.550296 | − | 0.834970i | \(-0.314515\pi\) |
0.950834 | + | 0.309702i | \(0.100229\pi\) | |||||||
\(824\) | −27.6719 | + | 13.3847i | −0.963996 | + | 0.466277i | ||||
\(825\) | −1.58089 | + | 3.28275i | −0.0550395 | + | 0.114291i | ||||
\(826\) | 13.9165 | − | 8.04532i | 0.484217 | − | 0.279932i | ||||
\(827\) | 1.58760 | − | 0.178880i | 0.0552064 | − | 0.00622027i | −0.0843181 | − | 0.996439i | \(-0.526871\pi\) |
0.139524 | + | 0.990219i | \(0.455443\pi\) | |||||||
\(828\) | 4.18758 | + | 10.6340i | 0.145528 | + | 0.369556i | ||||
\(829\) | −7.78152 | − | 7.78152i | −0.270263 | − | 0.270263i | 0.558943 | − | 0.829206i | \(-0.311207\pi\) |
−0.829206 | + | 0.558943i | \(0.811207\pi\) | |||||||
\(830\) | 27.6409 | + | 29.7556i | 0.959430 | + | 1.03283i | ||||
\(831\) | −11.8487 | − | 18.8571i | −0.411026 | − | 0.654144i | ||||
\(832\) | 2.52079 | + | 0.566255i | 0.0873928 | + | 0.0196313i | ||||
\(833\) | 8.48678 | + | 2.96965i | 0.294049 | + | 0.102892i | ||||
\(834\) | −12.0360 | + | 8.89362i | −0.416773 | + | 0.307961i | ||||
\(835\) | 25.3815 | + | 20.2411i | 0.878365 | + | 0.700472i | ||||
\(836\) | −12.6178 | − | 0.931053i | −0.436397 | − | 0.0322011i | ||||
\(837\) | −4.74761 | + | 20.8006i | −0.164101 | + | 0.718975i | ||||
\(838\) | −1.03132 | + | 6.86906i | −0.0356265 | + | 0.237288i | ||||
\(839\) | 0.392058 | − | 3.47961i | 0.0135353 | − | 0.120130i | −0.985128 | − | 0.171825i | \(-0.945034\pi\) |
0.998663 | + | 0.0516950i | \(0.0164624\pi\) | |||||||
\(840\) | 7.79007 | + | 2.71086i | 0.268783 | + | 0.0935336i | ||||
\(841\) | 12.2466 | − | 26.2873i | 0.422295 | − | 0.906458i | ||||
\(842\) | −14.7577 | + | 6.44879i | −0.508585 | + | 0.222240i | ||||
\(843\) | −48.4125 | − | 5.45478i | −1.66742 | − | 0.187873i | ||||
\(844\) | −10.0785 | + | 2.71288i | −0.346915 | + | 0.0933812i | ||||
\(845\) | 29.9698 | + | 6.84041i | 1.03099 | + | 0.235317i | ||||
\(846\) | −8.14649 | − | 4.29958i | −0.280082 | − | 0.147823i | ||||
\(847\) | −0.711169 | + | 0.891777i | −0.0244360 | + | 0.0306418i | ||||
\(848\) | 45.8723 | − | 14.2648i | 1.57526 | − | 0.489856i | ||||
\(849\) | −1.80990 | + | 5.17240i | −0.0621157 | + | 0.177516i | ||||
\(850\) | −1.03654 | − | 0.890981i | −0.0355529 | − | 0.0305604i | ||||
\(851\) | −73.4520 | + | 46.1530i | −2.51790 | + | 1.58210i | ||||
\(852\) | 1.72730 | + | 0.751259i | 0.0591762 | + | 0.0257377i | ||||
\(853\) | −23.0595 | + | 23.0595i | −0.789543 | + | 0.789543i | −0.981419 | − | 0.191876i | \(-0.938543\pi\) |
0.191876 | + | 0.981419i | \(0.438543\pi\) | |||||||
\(854\) | 5.45086 | + | 0.200833i | 0.186525 | + | 0.00687236i | ||||
\(855\) | 0.337056 | + | 2.99145i | 0.0115271 | + | 0.102306i | ||||
\(856\) | −9.98270 | + | 44.0859i | −0.341202 | + | 1.50682i | ||||
\(857\) | 24.5428 | + | 11.8192i | 0.838365 | + | 0.403735i | 0.803246 | − | 0.595648i | \(-0.203105\pi\) |
0.0351191 | + | 0.999383i | \(0.488819\pi\) | |||||||
\(858\) | −2.27053 | − | 0.889619i | −0.0775147 | − | 0.0303711i | ||||
\(859\) | −9.23492 | − | 26.3919i | −0.315091 | − | 0.900479i | −0.987124 | − | 0.159958i | \(-0.948864\pi\) |
0.672032 | − | 0.740522i | \(-0.265422\pi\) | |||||||
\(860\) | 32.7851 | + | 6.16442i | 1.11796 | + | 0.210205i | ||||
\(861\) | −0.278480 | + | 0.134109i | −0.00949056 | + | 0.00457041i | ||||
\(862\) | 2.27562 | + | 30.1346i | 0.0775079 | + | 1.02639i | ||||
\(863\) | 3.15898 | + | 13.8404i | 0.107533 | + | 0.471132i | 0.999807 | + | 0.0196384i | \(0.00625151\pi\) |
−0.892274 | + | 0.451494i | \(0.850891\pi\) | |||||||
\(864\) | 5.81304 | − | 31.2113i | 0.197764 | − | 1.06183i | ||||
\(865\) | −36.7500 | − | 46.0831i | −1.24954 | − | 1.56687i | ||||
\(866\) | −6.49750 | − | 34.2329i | −0.220794 | − | 1.16328i | ||||
\(867\) | 12.0894 | − | 19.2402i | 0.410578 | − | 0.653431i | ||||
\(868\) | −4.64750 | + | 4.00877i | −0.157747 | + | 0.136066i | ||||
\(869\) | 12.0993i | 0.410439i | ||||||||
\(870\) | 22.8395 | + | 15.3392i | 0.774333 | + | 0.520047i | ||||
\(871\) | 3.08894i | 0.104665i | ||||||||
\(872\) | −18.7196 | − | 8.97533i | −0.633926 | − | 0.303943i | ||||
\(873\) | −4.64470 | + | 7.39200i | −0.157199 | + | 0.250181i | ||||
\(874\) | 20.2691 | − | 3.84714i | 0.685613 | − | 0.130132i | ||||
\(875\) | −5.18013 | − | 6.49567i | −0.175120 | − | 0.219594i | ||||
\(876\) | 4.52326 | + | 29.7785i | 0.152827 | + | 1.00612i | ||||
\(877\) | 8.08891 | + | 35.4398i | 0.273143 | + | 1.19672i | 0.906280 | + | 0.422678i | \(0.138910\pi\) |
−0.633137 | + | 0.774040i | \(0.718233\pi\) | |||||||
\(878\) | −33.9589 | + | 2.56441i | −1.14606 | + | 0.0865448i | ||||
\(879\) | 25.5472 | − | 12.3029i | 0.861686 | − | 0.414966i | ||||
\(880\) | 20.0107 | + | 26.9841i | 0.674562 | + | 0.909633i | ||||
\(881\) | 11.1758 | + | 31.9387i | 0.376523 | + | 1.07604i | 0.963793 | + | 0.266650i | \(0.0859169\pi\) |
−0.587270 | + | 0.809391i | \(0.699797\pi\) | |||||||
\(882\) | −2.30357 | + | 5.87929i | −0.0775652 | + | 0.197966i | ||||
\(883\) | 32.1718 | + | 15.4931i | 1.08267 | + | 0.521386i | 0.888169 | − | 0.459517i | \(-0.151977\pi\) |
0.194500 | + | 0.980903i | \(0.437692\pi\) | |||||||
\(884\) | 0.542388 | − | 0.736673i | 0.0182425 | − | 0.0247770i | ||||
\(885\) | 5.69535 | + | 50.5476i | 0.191447 | + | 1.69914i | ||||
\(886\) | 1.67592 | − | 45.4867i | 0.0563037 | − | 1.52815i | ||||
\(887\) | −19.8549 | + | 19.8549i | −0.666661 | + | 0.666661i | −0.956942 | − | 0.290280i | \(-0.906251\pi\) |
0.290280 | + | 0.956942i | \(0.406251\pi\) | |||||||
\(888\) | 45.7663 | − | 0.0785783i | 1.53582 | − | 0.00263692i | ||||
\(889\) | −1.01804 | + | 0.639674i | −0.0341438 | + | 0.0214540i | ||||
\(890\) | 2.37988 | − | 2.76867i | 0.0797738 | − | 0.0928062i | ||||
\(891\) | −7.44187 | + | 21.2677i | −0.249312 | + | 0.712493i | ||||
\(892\) | 28.3773 | + | 16.3404i | 0.950142 | + | 0.547116i | ||||
\(893\) | −10.3676 | + | 13.0006i | −0.346940 | + | 0.435049i | ||||
\(894\) | −13.8980 | + | 26.3328i | −0.464819 | + | 0.880699i | ||||
\(895\) | −25.2478 | − | 5.76265i | −0.843941 | − | 0.192624i | ||||
\(896\) | 6.66994 | − | 6.23871i | 0.222827 | − | 0.208421i | ||||
\(897\) | 3.95145 | + | 0.445221i | 0.131935 | + | 0.0148655i | ||||
\(898\) | −8.69988 | − | 19.9092i | −0.290319 | − | 0.664380i | ||||
\(899\) | −18.3873 | + | 9.00056i | −0.613252 | + | 0.300186i | ||||
\(900\) | 0.652099 | − | 0.704411i | 0.0217366 | − | 0.0234804i | ||||
\(901\) | 1.90449 | − | 16.9028i | 0.0634476 | − | 0.563113i | ||||
\(902\) | −1.24493 | − | 0.186914i | −0.0414516 | − | 0.00622356i | ||||
\(903\) | −1.90479 | + | 8.34545i | −0.0633876 | + | 0.277719i | ||||
\(904\) | 2.71272 | + | 7.71002i | 0.0902238 | + | 0.256432i | ||||
\(905\) | 3.23233 | + | 2.57770i | 0.107446 | + | 0.0856856i | ||||
\(906\) | 1.70494 | + | 2.30735i | 0.0566429 | + | 0.0766566i | ||||
\(907\) | −32.0781 | − | 11.2246i | −1.06514 | − | 0.372707i | −0.259884 | − | 0.965640i | \(-0.583684\pi\) |
−0.805252 | + | 0.592933i | \(0.797970\pi\) | |||||||
\(908\) | −0.115056 | + | 0.374525i | −0.00381828 | + | 0.0124291i | ||||
\(909\) | −1.88619 | − | 3.00186i | −0.0625611 | − | 0.0995655i | ||||
\(910\) | −0.643909 | + | 0.598147i | −0.0213454 | + | 0.0198284i | ||||
\(911\) | −11.1113 | − | 11.1113i | −0.368133 | − | 0.368133i | 0.498663 | − | 0.866796i | \(-0.333825\pi\) |
−0.866796 | + | 0.498663i | \(0.833825\pi\) | |||||||
\(912\) | −10.1411 | − | 3.95331i | −0.335805 | − | 0.130907i | ||||
\(913\) | −42.1777 | + | 4.75229i | −1.39588 | + | 0.157278i | ||||
\(914\) | 8.85130 | + | 15.3107i | 0.292775 | + | 0.506431i | ||||
\(915\) | −7.48911 | + | 15.5513i | −0.247582 | + | 0.514110i | ||||
\(916\) | −17.4591 | + | 0.673288i | −0.576866 | + | 0.0222461i | ||||
\(917\) | −3.60622 | + | 1.26187i | −0.119088 | + | 0.0416707i | ||||
\(918\) | −9.29168 | − | 6.32718i | −0.306671 | − | 0.208828i | ||||
\(919\) | −6.83287 | − | 14.1886i | −0.225396 | − | 0.468039i | 0.757348 | − | 0.653011i | \(-0.226495\pi\) |
−0.982744 | + | 0.184973i | \(0.940780\pi\) | |||||||
\(920\) | −42.8872 | − | 34.0811i | −1.41395 | − | 1.12362i | ||||
\(921\) | −49.8192 | + | 11.3709i | −1.64160 | + | 0.374684i | ||||
\(922\) | 13.0989 | − | 48.9980i | 0.431390 | − | 1.61366i | ||||
\(923\) | −0.156913 | + | 0.125134i | −0.00516486 | + | 0.00411884i | ||||
\(924\) | −7.11683 | + | 4.86411i | −0.234126 | + | 0.160018i | ||||
\(925\) | 6.16928 | + | 3.87642i | 0.202845 | + | 0.127456i | ||||
\(926\) | −11.0695 | − | 35.8136i | −0.363765 | − | 1.17691i | ||||
\(927\) | −7.64371 | −0.251052 | ||||||||
\(928\) | 26.7997 | − | 14.4836i | 0.879744 | − | 0.475447i | ||||
\(929\) | −16.8637 | −0.553280 | −0.276640 | − | 0.960974i | \(-0.589221\pi\) | ||||
−0.276640 | + | 0.960974i | \(0.589221\pi\) | |||||||
\(930\) | −5.73533 | − | 18.5558i | −0.188069 | − | 0.608468i | ||||
\(931\) | 9.65160 | + | 6.06450i | 0.316318 | + | 0.198756i | ||||
\(932\) | 38.0318 | − | 25.9934i | 1.24577 | − | 0.851443i | ||||
\(933\) | 4.61614 | − | 3.68125i | 0.151126 | − | 0.120519i | ||||
\(934\) | −14.4742 | + | 54.1424i | −0.473610 | + | 1.77159i | ||||
\(935\) | 11.5968 | − | 2.64690i | 0.379257 | − | 0.0865629i | ||||
\(936\) | 0.502978 | + | 0.399701i | 0.0164403 | + | 0.0130646i | ||||
\(937\) | −19.4397 | − | 40.3669i | −0.635067 | − | 1.31873i | −0.931523 | − | 0.363683i | \(-0.881519\pi\) |
0.296456 | − | 0.955046i | \(-0.404195\pi\) | |||||||
\(938\) | 9.02536 | + | 6.14583i | 0.294689 | + | 0.200668i | ||||
\(939\) | 16.9245 | − | 5.92214i | 0.552310 | − | 0.193262i | ||||
\(940\) | 44.1193 | − | 1.70140i | 1.43901 | − | 0.0554936i | ||||
\(941\) | −15.5738 | + | 32.3393i | −0.507691 | + | 1.05423i | 0.476836 | + | 0.878992i | \(0.341784\pi\) |
−0.984526 | + | 0.175238i | \(0.943931\pi\) | |||||||
\(942\) | −13.5170 | − | 23.3812i | −0.440407 | − | 0.761801i | ||||
\(943\) | 2.03987 | − | 0.229838i | 0.0664272 | − | 0.00748455i | ||||
\(944\) | 52.4765 | + | 20.4570i | 1.70796 | + | 0.665818i | ||||
\(945\) | 7.63652 | + | 7.63652i | 0.248416 | + | 0.248416i | ||||
\(946\) | −25.5436 | + | 23.7282i | −0.830495 | + | 0.771471i | ||||
\(947\) | −8.26993 | − | 13.1615i | −0.268736 | − | 0.427692i | 0.684907 | − | 0.728631i | \(-0.259843\pi\) |
−0.953643 | + | 0.300939i | \(0.902700\pi\) | |||||||
\(948\) | −3.05665 | + | 9.94985i | −0.0992755 | + | 0.323156i | ||||
\(949\) | −3.02923 | − | 1.05997i | −0.0983330 | − | 0.0344082i | ||||
\(950\) | −1.02978 | − | 1.39363i | −0.0334103 | − | 0.0452152i | ||||
\(951\) | −11.5661 | − | 9.22363i | −0.375055 | − | 0.299097i | ||||
\(952\) | −1.07329 | − | 3.05047i | −0.0347855 | − | 0.0988664i | ||||
\(953\) | −1.36849 | + | 5.99574i | −0.0443297 | + | 0.194221i | −0.992244 | − | 0.124304i | \(-0.960330\pi\) |
0.947915 | + | 0.318525i | \(0.103187\pi\) | |||||||
\(954\) | 11.8133 | + | 1.77365i | 0.382468 | + | 0.0574240i | ||||
\(955\) | 3.63348 | − | 32.2480i | 0.117577 | − | 1.04352i | ||||
\(956\) | 13.9423 | − | 15.0608i | 0.450927 | − | 0.487101i | ||||
\(957\) | −27.0782 | + | 9.67040i | −0.875315 | + | 0.312600i | ||||
\(958\) | −17.5381 | − | 40.1352i | −0.566632 | − | 1.29671i | ||||
\(959\) | −2.36096 | − | 0.266017i | −0.0762395 | − | 0.00859013i | ||||
\(960\) | 9.63884 | + | 27.2457i | 0.311092 | + | 0.879353i | ||||
\(961\) | −16.1332 | − | 3.68230i | −0.520427 | − | 0.118784i | ||||
\(962\) | −2.27615 | + | 4.31265i | −0.0733859 | + | 0.139045i | ||||
\(963\) | −7.00812 | + | 8.78791i | −0.225834 | + | 0.283186i | ||||
\(964\) | 6.58561 | + | 3.79216i | 0.212108 | + | 0.122137i | ||||
\(965\) | −2.90132 | + | 8.29148i | −0.0933966 | + | 0.266912i | ||||
\(966\) | 9.16277 | − | 10.6597i | 0.294807 | − | 0.342969i | ||||
\(967\) | −21.5900 | + | 13.5659i | −0.694287 | + | 0.436249i | −0.832406 | − | 0.554166i | \(-0.813037\pi\) |
0.138119 | + | 0.990416i | \(0.455894\pi\) | |||||||
\(968\) | −3.99655 | + | 0.00686186i | −0.128454 | + | 0.000220549i | ||||
\(969\) | −2.72516 | + | 2.72516i | −0.0875448 | + | 0.0875448i | ||||
\(970\) | 1.54069 | − | 41.8163i | 0.0494686 | − | 1.34264i | ||||
\(971\) | −6.32627 | − | 56.1472i | −0.203020 | − | 1.80185i | −0.520793 | − | 0.853683i | \(-0.674364\pi\) |
0.317773 | − | 0.948167i | \(-0.397065\pi\) | |||||||
\(972\) | 8.47248 | − | 11.5073i | 0.271755 | − | 0.369098i | ||||
\(973\) | −5.07850 | − | 2.44568i | −0.162809 | − | 0.0784048i | ||||
\(974\) | 10.7351 | − | 27.3987i | 0.343975 | − | 0.877912i | ||||
\(975\) | −0.110308 | − | 0.315243i | −0.00353269 | − | 0.0100958i | ||||
\(976\) | 11.3841 | + | 15.3513i | 0.364398 | + | 0.491383i | ||||
\(977\) | 37.0886 | − | 17.8609i | 1.18657 | − | 0.571422i | 0.266751 | − | 0.963766i | \(-0.414050\pi\) |
0.919819 | + | 0.392344i | \(0.128336\pi\) | |||||||
\(978\) | −24.5285 | + | 1.85227i | −0.784335 | + | 0.0592292i | ||||
\(979\) | 0.849050 | + | 3.71993i | 0.0271357 | + | 0.118889i | ||||
\(980\) | −4.54520 | − | 29.9230i | −0.145191 | − | 0.955854i | ||||
\(981\) | −3.21865 | − | 4.03606i | −0.102764 | − | 0.128861i | ||||
\(982\) | 19.2388 | − | 3.65158i | 0.613935 | − | 0.116527i | ||||
\(983\) | −13.8116 | + | 21.9810i | −0.440522 | + | 0.701086i | −0.991015 | − | 0.133754i | \(-0.957297\pi\) |
0.550493 | + | 0.834840i | \(0.314440\pi\) | |||||||
\(984\) | −0.976549 | − | 0.468217i | −0.0311312 | − | 0.0149262i | ||||
\(985\) | 0.520677i | 0.0165901i | ||||||||
\(986\) | −0.881169 | − | 10.7504i | −0.0280621 | − | 0.342361i | ||||
\(987\) | 11.3294i | 0.360619i | ||||||||
\(988\) | 0.878188 | − | 0.757493i | 0.0279389 | − | 0.0240991i | ||||
\(989\) | 30.2463 | − | 48.1368i | 0.961777 | − | 1.53066i | ||||
\(990\) | 1.55775 | + | 8.20719i | 0.0495085 | + | 0.260841i | ||||
\(991\) | 15.2564 | + | 19.1309i | 0.484635 | + | 0.607713i | 0.962687 | − | 0.270618i | \(-0.0872282\pi\) |
−0.478051 | + | 0.878332i | \(0.658657\pi\) | |||||||
\(992\) | −21.1413 | − | 3.93753i | −0.671238 | − | 0.125017i | ||||
\(993\) | −4.65489 | − | 20.3944i | −0.147719 | − | 0.647197i | ||||
\(994\) | 0.0534228 | + | 0.707444i | 0.00169447 | + | 0.0224388i | ||||
\(995\) | −12.6005 | + | 6.06807i | −0.399462 | + | 0.192371i | ||||
\(996\) | −35.8855 | − | 6.74737i | −1.13708 | − | 0.213799i | ||||
\(997\) | −14.7540 | − | 42.1645i | −0.467264 | − | 1.33536i | −0.900803 | − | 0.434229i | \(-0.857021\pi\) |
0.433539 | − | 0.901135i | \(-0.357265\pi\) | |||||||
\(998\) | −24.4080 | − | 9.56332i | −0.772622 | − | 0.302722i | ||||
\(999\) | 53.9888 | + | 25.9996i | 1.70813 | + | 0.822592i |
(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 | 116.2.l.b.27.8 | yes | 144 | |
4.3 | odd | 2 | inner | 116.2.l.b.27.4 | ✓ | 144 | |
29.14 | odd | 28 | inner | 116.2.l.b.43.4 | yes | 144 | |
116.43 | even | 28 | inner | 116.2.l.b.43.8 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
116.2.l.b.27.4 | ✓ | 144 | 4.3 | odd | 2 | inner | |
116.2.l.b.27.8 | yes | 144 | 1.1 | even | 1 | trivial | |
116.2.l.b.43.4 | yes | 144 | 29.14 | odd | 28 | inner | |
116.2.l.b.43.8 | yes | 144 | 116.43 | even | 28 | inner |