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 | 27.4 | ||
Character | \(\chi\) | \(=\) | 116.27 |
Dual form | 116.2.l.b.43.4 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.707808 | + | 1.22434i | −0.500496 | + | 0.865739i | ||||
\(3\) | −1.28319 | − | 0.806282i | −0.740850 | − | 0.465507i | 0.107993 | − | 0.994152i | \(-0.465558\pi\) |
−0.848843 | + | 0.528645i | \(0.822700\pi\) | |||||||
\(4\) | −0.998017 | − | 1.73319i | −0.499008 | − | 0.866597i | ||||
\(5\) | 1.86371 | − | 1.48626i | 0.833478 | − | 0.664677i | −0.110794 | − | 0.993843i | \(-0.535339\pi\) |
0.944272 | + | 0.329167i | \(0.106768\pi\) | |||||||
\(6\) | 1.89542 | − | 1.00037i | 0.773800 | − | 0.408399i | ||||
\(7\) | 0.787001 | − | 0.179628i | 0.297458 | − | 0.0678930i | −0.0711871 | − | 0.997463i | \(-0.522679\pi\) |
0.368646 | + | 0.929570i | \(0.379822\pi\) | |||||||
\(8\) | 2.82842 | + | 0.00485626i | 0.999999 | + | 0.00171695i | ||||
\(9\) | −0.305164 | − | 0.633680i | −0.101721 | − | 0.211227i | ||||
\(10\) | 0.500539 | + | 3.33381i | 0.158284 | + | 1.05424i | ||||
\(11\) | 3.32550 | − | 1.16364i | 1.00268 | − | 0.350851i | 0.221498 | − | 0.975161i | \(-0.428905\pi\) |
0.781177 | + | 0.624310i | \(0.214620\pi\) | |||||||
\(12\) | −0.116798 | + | 3.02870i | −0.0337166 | + | 0.874311i | ||||
\(13\) | 0.140123 | − | 0.290969i | 0.0388632 | − | 0.0807003i | −0.880633 | − | 0.473799i | \(-0.842882\pi\) |
0.919496 | + | 0.393098i | \(0.128597\pi\) | |||||||
\(14\) | −0.337120 | + | 1.09070i | −0.0900991 | + | 0.291502i | ||||
\(15\) | −3.58985 | + | 0.404478i | −0.926894 | + | 0.104436i | ||||
\(16\) | −2.00792 | + | 3.45951i | −0.501981 | + | 0.864879i | ||||
\(17\) | −1.00149 | − | 1.00149i | −0.242898 | − | 0.242898i | 0.575150 | − | 0.818048i | \(-0.304944\pi\) |
−0.818048 | + | 0.575150i | \(0.804944\pi\) | |||||||
\(18\) | 0.991837 | + | 0.0748988i | 0.233778 | + | 0.0176538i | ||||
\(19\) | 0.955286 | + | 1.52033i | 0.219158 | + | 0.348787i | 0.938149 | − | 0.346232i | \(-0.112539\pi\) |
−0.718991 | + | 0.695019i | \(0.755396\pi\) | |||||||
\(20\) | −4.43600 | − | 1.74686i | −0.991919 | − | 0.390610i | ||||
\(21\) | −1.15470 | − | 0.404048i | −0.251977 | − | 0.0881705i | ||||
\(22\) | −0.929119 | + | 4.89517i | −0.198089 | + | 1.04365i | ||||
\(23\) | −6.35218 | − | 5.06569i | −1.32452 | − | 1.05627i | −0.993641 | − | 0.112597i | \(-0.964083\pi\) |
−0.330880 | − | 0.943673i | \(-0.607346\pi\) | |||||||
\(24\) | −3.62549 | − | 2.28674i | −0.740050 | − | 0.466778i | ||||
\(25\) | 0.151849 | − | 0.665293i | 0.0303698 | − | 0.133059i | ||||
\(26\) | 0.257065 | + | 0.377509i | 0.0504145 | + | 0.0740355i | ||||
\(27\) | −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 | 0.444482 | − | 0.895788i | \(-0.353388\pi\) |
0.234006 | + | 0.972235i | \(0.424816\pi\) | |||||||
\(32\) | −2.81440 | − | 4.90705i | −0.497520 | − | 0.867453i | ||||
\(33\) | −5.20547 | − | 1.18811i | −0.906156 | − | 0.206824i | ||||
\(34\) | 1.93503 | − | 0.517303i | 0.331855 | − | 0.0887168i | ||||
\(35\) | 1.19977 | − | 1.50446i | 0.202798 | − | 0.254301i | ||||
\(36\) | −0.793731 | + | 1.16133i | −0.132289 | + | 0.193555i | ||||
\(37\) | −3.52641 | + | 10.0779i | −0.579739 | + | 1.65680i | 0.162536 | + | 0.986703i | \(0.448033\pi\) |
−0.742275 | + | 0.670096i | \(0.766253\pi\) | |||||||
\(38\) | −2.53756 | + | 0.0934944i | −0.411646 | + | 0.0151668i | ||||
\(39\) | −0.414408 | + | 0.260390i | −0.0663584 | + | 0.0416957i | ||||
\(40\) | 5.27859 | − | 4.19473i | 0.834618 | − | 0.663245i | ||||
\(41\) | 0.178656 | − | 0.178656i | 0.0279013 | − | 0.0279013i | −0.693018 | − | 0.720920i | \(-0.743720\pi\) |
0.720920 | + | 0.693018i | \(0.243720\pi\) | |||||||
\(42\) | 1.31200 | − | 1.12776i | 0.202446 | − | 0.174017i | ||||
\(43\) | 0.783440 | + | 6.95322i | 0.119473 | + | 1.06036i | 0.900198 | + | 0.435481i | \(0.143422\pi\) |
−0.780725 | + | 0.624875i | \(0.785150\pi\) | |||||||
\(44\) | −5.33572 | − | 4.60240i | −0.804390 | − | 0.693838i | ||||
\(45\) | −1.51055 | − | 0.727444i | −0.225180 | − | 0.108441i | ||||
\(46\) | 10.6983 | − | 4.19169i | 1.57737 | − | 0.618031i | ||||
\(47\) | 3.05870 | + | 8.74125i | 0.446157 | + | 1.27504i | 0.919126 | + | 0.393964i | \(0.128896\pi\) |
−0.472969 | + | 0.881079i | \(0.656818\pi\) | |||||||
\(48\) | 5.36589 | − | 2.82026i | 0.774500 | − | 0.407070i | ||||
\(49\) | −5.71968 | + | 2.75445i | −0.817097 | + | 0.393493i | ||||
\(50\) | 0.707065 | + | 0.656814i | 0.0999941 | + | 0.0928875i | ||||
\(51\) | 0.477620 | + | 2.09259i | 0.0668802 | + | 0.293021i | ||||
\(52\) | −0.644151 | + | 0.0475311i | −0.0893277 | + | 0.00659137i | ||||
\(53\) | 7.48797 | + | 9.38962i | 1.02855 | + | 1.28976i | 0.956303 | + | 0.292377i | \(0.0944463\pi\) |
0.0722492 | + | 0.997387i | \(0.476982\pi\) | |||||||
\(54\) | −6.38340 | − | 4.71681i | −0.868671 | − | 0.641876i | ||||
\(55\) | 4.46830 | − | 7.11125i | 0.602505 | − | 0.958881i | ||||
\(56\) | 2.22684 | − | 0.504242i | 0.297575 | − | 0.0673821i | ||||
\(57\) | − | 2.72110i | − | 0.360419i | ||||||
\(58\) | 0.329197 | + | 7.60865i | 0.0432257 | + | 0.999065i | ||||
\(59\) | − | 14.0807i | − | 1.83315i | −0.399858 | − | 0.916577i | \(-0.630941\pi\) | ||
0.399858 | − | 0.916577i | \(-0.369059\pi\) | |||||||
\(60\) | 4.28377 | + | 5.81822i | 0.553032 | + | 0.751129i | ||||
\(61\) | −2.54202 | + | 4.04561i | −0.325473 | + | 0.517987i | −0.968878 | − | 0.247539i | \(-0.920378\pi\) |
0.643405 | + | 0.765526i | \(0.277521\pi\) | |||||||
\(62\) | −3.19498 | + | 4.32387i | −0.405763 | + | 0.549132i | ||||
\(63\) | −0.353991 | − | 0.443891i | −0.0445987 | − | 0.0559250i | ||||
\(64\) | 7.99995 | + | 0.0274711i | 0.999994 | + | 0.00343389i | ||||
\(65\) | −0.171307 | − | 0.750543i | −0.0212480 | − | 0.0930934i | ||||
\(66\) | 5.13913 | − | 5.53231i | 0.632583 | − | 0.680980i | ||||
\(67\) | 8.61751 | − | 4.14997i | 1.05280 | − | 0.507000i | 0.174272 | − | 0.984698i | \(-0.444243\pi\) |
0.878524 | + | 0.477698i | \(0.158529\pi\) | |||||||
\(68\) | −0.736275 | + | 2.73529i | −0.0892864 | + | 0.331702i | ||||
\(69\) | 4.06668 | + | 11.6219i | 0.489570 | + | 1.39911i | ||||
\(70\) | 0.992770 | + | 2.53380i | 0.118659 | + | 0.302847i | ||||
\(71\) | 0.559911 | + | 0.269639i | 0.0664492 | + | 0.0320002i | 0.466813 | − | 0.884356i | \(-0.345402\pi\) |
−0.400364 | + | 0.916356i | \(0.631116\pi\) | |||||||
\(72\) | −0.860056 | − | 1.79380i | −0.101359 | − | 0.211401i | ||||
\(73\) | −1.11265 | − | 9.87502i | −0.130226 | − | 1.15578i | −0.873509 | − | 0.486807i | \(-0.838161\pi\) |
0.743284 | − | 0.668976i | \(-0.233267\pi\) | |||||||
\(74\) | −9.84277 | − | 11.4508i | −1.14420 | − | 1.33112i | ||||
\(75\) | −0.731265 | + | 0.731265i | −0.0844392 | + | 0.0844392i | ||||
\(76\) | 1.68163 | − | 3.17301i | 0.192897 | − | 0.363969i | ||||
\(77\) | 2.40815 | − | 1.51314i | 0.274434 | − | 0.172438i | ||||
\(78\) | −0.0254845 | − | 0.691682i | −0.00288555 | − | 0.0783176i | ||||
\(79\) | −1.13423 | + | 3.24145i | −0.127611 | + | 0.364691i | −0.989908 | − | 0.141712i | \(-0.954739\pi\) |
0.862297 | + | 0.506403i | \(0.169025\pi\) | |||||||
\(80\) | 1.39955 | + | 9.43185i | 0.156474 | + | 1.05451i | ||||
\(81\) | 3.98742 | − | 5.00007i | 0.443047 | − | 0.555563i | ||||
\(82\) | 0.0922814 | + | 0.345189i | 0.0101908 | + | 0.0381198i | ||||
\(83\) | −11.7451 | − | 2.68074i | −1.28919 | − | 0.294250i | −0.477654 | − | 0.878548i | \(-0.658513\pi\) |
−0.811539 | + | 0.584298i | \(0.801370\pi\) | |||||||
\(84\) | 0.452119 | + | 2.40457i | 0.0493303 | + | 0.262360i | ||||
\(85\) | −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 | \(0.0174338\pi\) | |||||||
\(90\) | 1.95982 | − | 1.33454i | 0.206583 | − | 0.140673i | ||||
\(91\) | 0.0580111 | − | 0.254163i | 0.00608121 | − | 0.0266435i | ||||
\(92\) | −2.44025 | + | 16.0652i | −0.254414 | + | 1.67491i | ||||
\(93\) | −4.50427 | − | 3.59204i | −0.467071 | − | 0.372477i | ||||
\(94\) | −12.8672 | − | 2.44224i | −1.32715 | − | 0.251898i | ||||
\(95\) | 4.03999 | + | 1.41365i | 0.414494 | + | 0.145038i | ||||
\(96\) | −0.345062 | + | 8.56588i | −0.0352177 | + | 0.874252i | ||||
\(97\) | −6.60385 | − | 10.5100i | −0.670520 | − | 1.06713i | −0.992719 | − | 0.120454i | \(-0.961565\pi\) |
0.322199 | − | 0.946672i | \(-0.395578\pi\) | |||||||
\(98\) | 0.676046 | − | 8.95245i | 0.0682910 | − | 0.904334i | ||||
\(99\) | −1.75220 | − | 1.75220i | −0.176103 | − | 0.176103i | ||||
\(100\) | −1.30463 | + | 0.400790i | −0.130463 | + | 0.0400790i | ||||
\(101\) | 5.00898 | − | 0.564376i | 0.498412 | − | 0.0561575i | 0.140820 | − | 0.990035i | \(-0.455026\pi\) |
0.357592 | + | 0.933878i | \(0.383598\pi\) | |||||||
\(102\) | −2.90011 | − | 0.896382i | −0.287153 | − | 0.0887551i | ||||
\(103\) | −4.71539 | + | 9.79160i | −0.464621 | + | 0.964795i | 0.528635 | + | 0.848850i | \(0.322704\pi\) |
−0.993256 | + | 0.115946i | \(0.963010\pi\) | |||||||
\(104\) | 0.397741 | − | 0.822303i | 0.0390017 | − | 0.0806334i | ||||
\(105\) | −2.75256 | + | 0.963161i | −0.268622 | + | 0.0939949i | ||||
\(106\) | −16.7961 | + | 2.52178i | −1.63138 | + | 0.244937i | ||||
\(107\) | 6.93403 | + | 14.3987i | 0.670338 | + | 1.39197i | 0.907313 | + | 0.420455i | \(0.138130\pi\) |
−0.236975 | + | 0.971516i | \(0.576156\pi\) | |||||||
\(108\) | 10.2932 | − | 4.47686i | 0.990463 | − | 0.430786i | ||||
\(109\) | 7.15577 | − | 1.63326i | 0.685399 | − | 0.156438i | 0.134379 | − | 0.990930i | \(-0.457096\pi\) |
0.551020 | + | 0.834492i | \(0.314239\pi\) | |||||||
\(110\) | 5.54390 | + | 10.5041i | 0.528590 | + | 1.00153i | ||||
\(111\) | 12.6507 | − | 10.0886i | 1.20075 | − | 0.957567i | ||||
\(112\) | −0.958814 | + | 3.08332i | −0.0905994 | + | 0.291346i | ||||
\(113\) | −2.44679 | − | 1.53742i | −0.230174 | − | 0.144628i | 0.412008 | − | 0.911180i | \(-0.364828\pi\) |
−0.642182 | + | 0.766552i | \(0.721971\pi\) | |||||||
\(114\) | 3.33155 | + | 1.92602i | 0.312029 | + | 0.180388i | ||||
\(115\) | −19.3676 | −1.80604 | ||||||||
\(116\) | −9.54859 | − | 4.98241i | −0.886564 | − | 0.462606i | ||||
\(117\) | −0.227142 | −0.0209993 | ||||||||
\(118\) | 17.2396 | + | 9.96644i | 1.58703 | + | 0.917486i | ||||
\(119\) | −0.968072 | − | 0.608280i | −0.0887430 | − | 0.0557609i | ||||
\(120\) | −10.1556 | + | 1.12660i | −0.927072 | + | 0.102844i | ||||
\(121\) | 1.10472 | − | 0.880987i | 0.100429 | − | 0.0800898i | ||||
\(122\) | −3.15393 | − | 5.97581i | −0.285544 | − | 0.541025i | ||||
\(123\) | −0.373296 | + | 0.0852024i | −0.0336590 | + | 0.00768244i | ||||
\(124\) | −3.03245 | − | 6.97221i | −0.272322 | − | 0.626123i | ||||
\(125\) | 4.46562 | + | 9.27295i | 0.399417 | + | 0.829398i | ||||
\(126\) | 0.794031 | − | 0.119216i | 0.0707379 | − | 0.0106206i | ||||
\(127\) | −1.40584 | + | 0.491925i | −0.124748 | + | 0.0436513i | −0.391931 | − | 0.919994i | \(-0.628193\pi\) |
0.267183 | + | 0.963646i | \(0.413907\pi\) | |||||||
\(128\) | −5.69606 | + | 9.77522i | −0.503465 | + | 0.864015i | ||||
\(129\) | 4.60095 | − | 9.55398i | 0.405091 | − | 0.841181i | ||||
\(130\) | 1.04017 | + | 0.321503i | 0.0912291 | + | 0.0281976i | ||||
\(131\) | −4.70319 | + | 0.529922i | −0.410919 | + | 0.0462995i | −0.315005 | − | 0.949090i | \(-0.602006\pi\) |
−0.0959145 | + | 0.995390i | \(0.530578\pi\) | |||||||
\(132\) | 3.13591 | + | 10.2078i | 0.272946 | + | 0.888479i | ||||
\(133\) | 1.02490 | + | 1.02490i | 0.0888705 | + | 0.0888705i | ||||
\(134\) | −1.01856 | + | 13.4881i | −0.0879902 | + | 1.16520i | ||||
\(135\) | 7.11780 | + | 11.3279i | 0.612602 | + | 0.974951i | ||||
\(136\) | −2.82778 | − | 2.83751i | −0.242480 | − | 0.243314i | ||||
\(137\) | 2.77808 | + | 0.972091i | 0.237347 | + | 0.0830513i | 0.446332 | − | 0.894868i | \(-0.352730\pi\) |
−0.208985 | + | 0.977919i | \(0.567016\pi\) | |||||||
\(138\) | −17.1076 | − | 3.24707i | −1.45629 | − | 0.276409i | ||||
\(139\) | −5.45929 | − | 4.35364i | −0.463051 | − | 0.369271i | 0.363999 | − | 0.931399i | \(-0.381411\pi\) |
−0.827050 | + | 0.562129i | \(0.809983\pi\) | |||||||
\(140\) | −3.80492 | − | 0.577954i | −0.321575 | − | 0.0488461i | ||||
\(141\) | 3.12302 | − | 13.6829i | 0.263006 | − | 1.15230i | ||||
\(142\) | −0.726439 | + | 0.494669i | −0.0609614 | + | 0.0415117i | ||||
\(143\) | 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 | ||||
\(148\) | 20.9864 | − | 3.94596i | 1.72507 | − | 0.324356i | ||||
\(149\) | 13.5445 | + | 3.09145i | 1.10961 | + | 0.253262i | 0.737782 | − | 0.675039i | \(-0.235873\pi\) |
0.371830 | + | 0.928301i | \(0.378730\pi\) | |||||||
\(150\) | −0.377722 | − | 1.41291i | −0.0308409 | − | 0.115364i | ||||
\(151\) | −0.834610 | + | 1.04657i | −0.0679196 | + | 0.0851685i | −0.814631 | − | 0.579980i | \(-0.803060\pi\) |
0.746711 | + | 0.665148i | \(0.231632\pi\) | |||||||
\(152\) | 2.69457 | + | 4.30477i | 0.218558 | + | 0.349163i | ||||
\(153\) | −0.329006 | + | 0.940245i | −0.0265986 | + | 0.0760143i | ||||
\(154\) | 0.148092 | + | 4.01940i | 0.0119336 | + | 0.323893i | ||||
\(155\) | 7.67309 | − | 4.82132i | 0.616317 | − | 0.387258i | ||||
\(156\) | 0.864892 | + | 0.458376i | 0.0692468 | + | 0.0366995i | ||||
\(157\) | −8.91047 | + | 8.91047i | −0.711133 | + | 0.711133i | −0.966772 | − | 0.255639i | \(-0.917714\pi\) |
0.255639 | + | 0.966772i | \(0.417714\pi\) | |||||||
\(158\) | −3.16582 | − | 3.68300i | −0.251859 | − | 0.293004i | ||||
\(159\) | −2.03781 | − | 18.0861i | −0.161609 | − | 1.43432i | ||||
\(160\) | −12.5384 | − | 4.96241i | −0.991247 | − | 0.392313i | ||||
\(161\) | −5.90911 | − | 2.84568i | −0.465703 | − | 0.224271i | ||||
\(162\) | 3.29946 | + | 8.42105i | 0.259230 | + | 0.661620i | ||||
\(163\) | −3.79073 | − | 10.8333i | −0.296913 | − | 0.848527i | −0.991615 | − | 0.129230i | \(-0.958749\pi\) |
0.694702 | − | 0.719298i | \(-0.255536\pi\) | |||||||
\(164\) | −0.487946 | − | 0.131344i | −0.0381022 | − | 0.0102562i | ||||
\(165\) | −11.4674 | + | 5.52239i | −0.892732 | + | 0.429917i | ||||
\(166\) | 11.5954 | − | 12.4825i | 0.899979 | − | 0.968834i | ||||
\(167\) | −3.03047 | − | 13.2774i | −0.234505 | − | 1.02743i | −0.945854 | − | 0.324593i | \(-0.894773\pi\) |
0.711349 | − | 0.702839i | \(-0.248085\pi\) | |||||||
\(168\) | −3.26403 | − | 1.14843i | −0.251825 | − | 0.0886030i | ||||
\(169\) | 8.04034 | + | 10.0823i | 0.618488 | + | 0.775559i | ||||
\(170\) | 2.83750 | − | 3.84007i | 0.217626 | − | 0.294520i | ||||
\(171\) | 0.671883 | − | 1.06930i | 0.0513802 | − | 0.0817711i | ||||
\(172\) | 11.2694 | − | 8.29728i | 0.859283 | − | 0.632662i | ||||
\(173\) | − | 24.7265i | − | 1.87992i | −0.341286 | − | 0.939959i | \(-0.610862\pi\) | ||
0.341286 | − | 0.939959i | \(-0.389138\pi\) | |||||||
\(174\) | 5.71230 | − | 10.0288i | 0.433048 | − | 0.760280i | ||||
\(175\) | − | 0.550863i | − | 0.0416413i | ||||||
\(176\) | −2.65171 | + | 13.8411i | −0.199880 | + | 1.04331i | ||||
\(177\) | −11.3530 | + | 18.0683i | −0.853346 | + | 1.35809i | ||||
\(178\) | 1.23178 | + | 0.910187i | 0.0923261 | + | 0.0682214i | ||||
\(179\) | 6.77352 | + | 8.49373i | 0.506277 | + | 0.634851i | 0.967632 | − | 0.252364i | \(-0.0812082\pi\) |
−0.461356 | + | 0.887215i | \(0.652637\pi\) | |||||||
\(180\) | 0.246755 | + | 3.34408i | 0.0183921 | + | 0.249253i | ||||
\(181\) | 0.385929 | + | 1.69087i | 0.0286859 | + | 0.125681i | 0.987244 | − | 0.159218i | \(-0.0508972\pi\) |
−0.958558 | + | 0.284899i | \(0.908040\pi\) | |||||||
\(182\) | 0.270121 | + | 0.250924i | 0.0200227 | + | 0.0185997i | ||||
\(183\) | 6.52380 | − | 3.14170i | 0.482253 | − | 0.232241i | ||||
\(184\) | −17.9420 | − | 14.3588i | −1.32271 | − | 1.05854i | ||||
\(185\) | 8.40619 | + | 24.0235i | 0.618035 | + | 1.76624i | ||||
\(186\) | 7.58603 | − | 2.97229i | 0.556235 | − | 0.217939i | ||||
\(187\) | −4.49584 | − | 2.16508i | −0.328768 | − | 0.158326i | ||||
\(188\) | 12.0977 | − | 14.0252i | 0.882312 | − | 1.02289i | ||||
\(189\) | 0.507253 | + | 4.50200i | 0.0368972 | + | 0.327472i | ||||
\(190\) | −4.59032 | + | 3.94572i | −0.333017 | + | 0.286253i | ||||
\(191\) | −9.62634 | + | 9.62634i | −0.696537 | + | 0.696537i | −0.963662 | − | 0.267125i | \(-0.913926\pi\) |
0.267125 | + | 0.963662i | \(0.413926\pi\) | |||||||
\(192\) | −10.2433 | − | 6.48547i | −0.739247 | − | 0.468048i | ||||
\(193\) | −3.12025 | + | 1.96059i | −0.224601 | + | 0.141126i | −0.639632 | − | 0.768681i | \(-0.720913\pi\) |
0.415032 | + | 0.909807i | \(0.363771\pi\) | |||||||
\(194\) | 17.5420 | − | 0.646323i | 1.25945 | − | 0.0464033i | ||||
\(195\) | −0.385330 | + | 1.10121i | −0.0275941 | + | 0.0788593i | ||||
\(196\) | 10.4823 | + | 7.16432i | 0.748738 | + | 0.511737i | ||||
\(197\) | −0.136186 | + | 0.170772i | −0.00970283 | + | 0.0121670i | −0.786659 | − | 0.617387i | \(-0.788191\pi\) |
0.776956 | + | 0.629554i | \(0.216763\pi\) | |||||||
\(198\) | 3.38551 | − | 0.905067i | 0.240597 | − | 0.0643203i | ||||
\(199\) | 5.71984 | + | 1.30552i | 0.405468 | + | 0.0925455i | 0.420391 | − | 0.907343i | \(-0.361893\pi\) |
−0.0149224 | + | 0.999889i | \(0.504750\pi\) | |||||||
\(200\) | 0.432723 | − | 1.88099i | 0.0305982 | − | 0.133006i | ||||
\(201\) | −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 | ||||
\(206\) | −8.65066 | − | 12.7038i | −0.602720 | − | 0.885116i | ||||
\(207\) | −1.27157 | + | 5.57112i | −0.0883803 | + | 0.387219i | ||||
\(208\) | 0.725254 | + | 1.06900i | 0.0502873 | + | 0.0741220i | ||||
\(209\) | 4.94592 | + | 3.94424i | 0.342116 | + | 0.272829i | ||||
\(210\) | 0.769044 | − | 4.05180i | 0.0530691 | − | 0.279601i | ||||
\(211\) | −4.92575 | − | 1.72359i | −0.339102 | − | 0.118657i | 0.155356 | − | 0.987859i | \(-0.450348\pi\) |
−0.494458 | + | 0.869202i | \(0.664633\pi\) | |||||||
\(212\) | 8.80092 | − | 22.3491i | 0.604449 | − | 1.53494i | ||||
\(213\) | −0.501067 | − | 0.797444i | −0.0343326 | − | 0.0546400i | ||||
\(214\) | −22.5368 | − | 1.70187i | −1.54058 | − | 0.116338i | ||||
\(215\) | 11.7944 | + | 11.7944i | 0.804372 | + | 0.804372i | ||||
\(216\) | −1.80441 | + | 15.7711i | −0.122774 | + | 1.07309i | ||||
\(217\) | 3.04948 | − | 0.343594i | 0.207012 | − | 0.0233247i | ||||
\(218\) | −3.06525 | + | 9.91713i | −0.207605 | + | 0.671673i | ||||
\(219\) | −6.53431 | + | 13.5686i | −0.441548 | + | 0.916883i | ||||
\(220\) | −16.7846 | − | 0.647276i | −1.13162 | − | 0.0436394i | ||||
\(221\) | −0.431736 | + | 0.151071i | −0.0290417 | + | 0.0101621i | ||||
\(222\) | 3.39761 | + | 22.6295i | 0.228033 | + | 1.51880i | ||||
\(223\) | 7.10390 | + | 14.7514i | 0.475713 | + | 0.987827i | 0.991377 | + | 0.131037i | \(0.0418306\pi\) |
−0.515665 | + | 0.856790i | \(0.672455\pi\) | |||||||
\(224\) | −3.09638 | − | 3.35631i | −0.206885 | − | 0.224253i | ||||
\(225\) | −0.467922 | + | 0.106800i | −0.0311948 | + | 0.00712000i | ||||
\(226\) | 3.61418 | − | 1.90750i | 0.240411 | − | 0.126885i | ||||
\(227\) | −0.153161 | + | 0.122142i | −0.0101656 | + | 0.00810682i | −0.628559 | − | 0.777762i | \(-0.716355\pi\) |
0.618394 | + | 0.785868i | \(0.287784\pi\) | |||||||
\(228\) | −4.71620 | + | 2.71570i | −0.312338 | + | 0.179852i | ||||
\(229\) | 7.39703 | + | 4.64786i | 0.488810 | + | 0.307140i | 0.753791 | − | 0.657114i | \(-0.228223\pi\) |
−0.264981 | + | 0.964254i | \(0.585366\pi\) | |||||||
\(230\) | 13.7085 | − | 23.7125i | 0.903914 | − | 1.56356i | ||||
\(231\) | −4.31013 | −0.283586 | ||||||||
\(232\) | 12.8587 | − | 8.16413i | 0.844217 | − | 0.536001i | ||||
\(233\) | −23.0330 | −1.50894 | −0.754470 | − | 0.656334i | \(-0.772106\pi\) | ||||
−0.754470 | + | 0.656334i | \(0.772106\pi\) | |||||||
\(234\) | 0.160773 | − | 0.278099i | 0.0105100 | − | 0.0181799i | ||||
\(235\) | 18.6923 | + | 11.7452i | 1.21935 | + | 0.766170i | ||||
\(236\) | −24.4046 | + | 14.0528i | −1.58861 | + | 0.914759i | ||||
\(237\) | 4.06895 | − | 3.24488i | 0.264307 | − | 0.210778i | ||||
\(238\) | 1.42995 | − | 0.754704i | 0.0926899 | − | 0.0489202i | ||||
\(239\) | 10.0045 | − | 2.28346i | 0.647136 | − | 0.147705i | 0.113660 | − | 0.993520i | \(-0.463743\pi\) |
0.533476 | + | 0.845815i | \(0.320885\pi\) | |||||||
\(240\) | 5.80884 | − | 13.2313i | 0.374959 | − | 0.854076i | ||||
\(241\) | −1.64863 | − | 3.42341i | −0.106197 | − | 0.220521i | 0.841098 | − | 0.540883i | \(-0.181910\pi\) |
−0.947295 | + | 0.320362i | \(0.896196\pi\) | |||||||
\(242\) | 0.296697 | + | 1.97613i | 0.0190724 | + | 0.127030i | ||||
\(243\) | 6.74401 | − | 2.35983i | 0.432629 | − | 0.151383i | ||||
\(244\) | 9.54880 | + | 0.368237i | 0.611300 | + | 0.0235739i | ||||
\(245\) | −6.56600 | + | 13.6344i | −0.419487 | + | 0.871073i | ||||
\(246\) | 0.159905 | − | 0.517348i | 0.0101952 | − | 0.0329849i | ||||
\(247\) | 0.576226 | − | 0.0649251i | 0.0366644 | − | 0.00413109i | ||||
\(248\) | 10.6828 | + | 1.22224i | 0.678355 | + | 0.0776120i | ||||
\(249\) | 12.9098 | + | 12.9098i | 0.818123 | + | 0.818123i | ||||
\(250\) | −14.5140 | − | 1.09603i | −0.917949 | − | 0.0693191i | ||||
\(251\) | −12.6419 | − | 20.1195i | −0.797951 | − | 1.26993i | −0.959119 | − | 0.283004i | \(-0.908669\pi\) |
0.161168 | − | 0.986927i | \(-0.448474\pi\) | |||||||
\(252\) | −0.416060 | + | 1.05655i | −0.0262093 | + | 0.0665561i | ||||
\(253\) | −27.0188 | − | 9.45429i | −1.69866 | − | 0.594386i | ||||
\(254\) | 0.392782 | − | 2.06942i | 0.0246453 | − | 0.129847i | ||||
\(255\) | 4.00029 | + | 3.19012i | 0.250508 | + | 0.199773i | ||||
\(256\) | −7.93647 | − | 13.8929i | −0.496030 | − | 0.868306i | ||||
\(257\) | 4.29004 | − | 18.7959i | 0.267606 | − | 1.17246i | −0.645184 | − | 0.764027i | \(-0.723219\pi\) |
0.912790 | − | 0.408429i | \(-0.133923\pi\) | |||||||
\(258\) | 8.44073 | + | 12.3955i | 0.525497 | + | 0.771711i | ||||
\(259\) | −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 | −0.300963 | − | 0.953636i | \(-0.597308\pi\) |
−0.505621 | + | 0.862755i | \(0.668737\pi\) | |||||||
\(264\) | −14.7175 | − | 3.38577i | −0.905800 | − | 0.208380i | ||||
\(265\) | 27.9109 | + | 6.37047i | 1.71455 | + | 0.391335i | ||||
\(266\) | −1.98027 | + | 0.529396i | −0.121418 | + | 0.0324594i | ||||
\(267\) | −1.02330 | + | 1.28318i | −0.0626249 | + | 0.0785291i | ||||
\(268\) | −15.7931 | − | 10.7941i | −0.964719 | − | 0.659353i | ||||
\(269\) | −0.295349 | + | 0.844060i | −0.0180078 | + | 0.0514632i | −0.952536 | − | 0.304425i | \(-0.901536\pi\) |
0.934529 | + | 0.355888i | \(0.115822\pi\) | |||||||
\(270\) | −18.9072 | + | 0.696623i | −1.15066 | + | 0.0423951i | ||||
\(271\) | −21.4380 | + | 13.4704i | −1.30227 | + | 0.818270i | −0.991233 | − | 0.132128i | \(-0.957819\pi\) |
−0.311036 | + | 0.950398i | \(0.600676\pi\) | |||||||
\(272\) | 5.47560 | − | 1.45376i | 0.332007 | − | 0.0881469i | ||||
\(273\) | −0.279366 | + | 0.279366i | −0.0169080 | + | 0.0169080i | ||||
\(274\) | −3.15651 | + | 2.71326i | −0.190692 | + | 0.163914i | ||||
\(275\) | −0.269190 | − | 2.38913i | −0.0162328 | − | 0.144070i | ||||
\(276\) | 16.0844 | − | 18.6472i | 0.968167 | − | 1.12243i | ||||
\(277\) | −13.2401 | − | 6.37612i | −0.795523 | − | 0.383104i | −0.00845063 | − | 0.999964i | \(-0.502690\pi\) |
−0.787072 | + | 0.616861i | \(0.788404\pi\) | |||||||
\(278\) | 9.19446 | − | 3.60249i | 0.551447 | − | 0.216063i | ||||
\(279\) | −0.883087 | − | 2.52372i | −0.0528690 | − | 0.151091i | ||||
\(280\) | 3.40076 | − | 4.24944i | 0.203235 | − | 0.253952i | ||||
\(281\) | −28.9639 | + | 13.9483i | −1.72784 | + | 0.832086i | −0.740783 | + | 0.671745i | \(0.765545\pi\) |
−0.987062 | + | 0.160341i | \(0.948741\pi\) | |||||||
\(282\) | 14.5420 | + | 13.5085i | 0.865962 | + | 0.804418i | ||||
\(283\) | −0.804629 | − | 3.52531i | −0.0478302 | − | 0.209558i | 0.945366 | − | 0.326011i | \(-0.105705\pi\) |
−0.993196 | + | 0.116453i | \(0.962848\pi\) | |||||||
\(284\) | −0.0914639 | − | 1.23954i | −0.00542738 | − | 0.0735531i | ||||
\(285\) | −4.04427 | − | 5.07135i | −0.239562 | − | 0.300401i | ||||
\(286\) | 1.29415 | + | 0.956273i | 0.0765249 | + | 0.0565456i | ||||
\(287\) | 0.108511 | − | 0.172694i | 0.00640518 | − | 0.0101938i | ||||
\(288\) | −2.25065 | + | 3.28088i | −0.132621 | + | 0.193328i | ||||
\(289\) | − | 14.9940i | − | 0.882001i | ||||||
\(290\) | 11.9220 | + | 13.6911i | 0.700083 | + | 0.803968i | ||||
\(291\) | 18.8109i | 1.10271i | ||||||||
\(292\) | −16.0049 | + | 11.7839i | −0.936615 | + | 0.689599i | ||||
\(293\) | 9.95457 | − | 15.8426i | 0.581552 | − | 0.925535i | −0.418299 | − | 0.908309i | \(-0.637374\pi\) |
0.999852 | − | 0.0172259i | \(-0.00548346\pi\) | |||||||
\(294\) | −8.08570 | + | 10.9426i | −0.471567 | + | 0.638186i | ||||
\(295\) | −20.9276 | − | 26.2424i | −1.21845 | − | 1.52789i | ||||
\(296\) | −10.0231 | + | 28.4875i | −0.582583 | + | 1.65580i | ||||
\(297\) | 4.39998 | + | 19.2776i | 0.255313 | + | 1.11860i | ||||
\(298\) | −13.3719 | + | 14.3950i | −0.774615 | + | 0.833879i | ||||
\(299\) | −2.36405 | + | 1.13847i | −0.136716 | + | 0.0658392i | ||||
\(300\) | 1.99724 | + | 0.537609i | 0.115311 | + | 0.0310389i | ||||
\(301\) | 1.86556 | + | 5.33146i | 0.107529 | + | 0.307300i | ||||
\(302\) | −0.690611 | − | 1.76261i | −0.0397402 | − | 0.101427i | ||||
\(303\) | −6.88252 | − | 3.31445i | −0.395390 | − | 0.190410i | ||||
\(304\) | −7.17774 | + | 0.252119i | −0.411672 | + | 0.0144600i | ||||
\(305\) | 1.27523 | + | 11.3180i | 0.0730194 | + | 0.648065i | ||||
\(306\) | −0.918307 | − | 1.06833i | −0.0524961 | − | 0.0610722i | ||||
\(307\) | 23.8429 | − | 23.8429i | 1.36079 | − | 1.36079i | 0.487875 | − | 0.872914i | \(-0.337772\pi\) |
0.872914 | − | 0.487875i | \(-0.162228\pi\) | |||||||
\(308\) | −5.02594 | − | 2.66365i | −0.286379 | − | 0.151775i | ||||
\(309\) | 13.9455 | − | 8.76256i | 0.793334 | − | 0.498485i | ||||
\(310\) | 0.471866 | + | 12.8070i | 0.0268002 | + | 0.727391i | ||||
\(311\) | −1.28676 | + | 3.67735i | −0.0729656 | + | 0.208524i | −0.974590 | − | 0.223996i | \(-0.928090\pi\) |
0.901624 | + | 0.432520i | \(0.142375\pi\) | |||||||
\(312\) | −1.17339 | + | 0.734480i | −0.0664299 | + | 0.0415817i | ||||
\(313\) | 7.37697 | − | 9.25042i | 0.416971 | − | 0.522865i | −0.528341 | − | 0.849032i | \(-0.677186\pi\) |
0.945312 | + | 0.326167i | \(0.105757\pi\) | |||||||
\(314\) | −4.60255 | − | 17.2163i | −0.259737 | − | 0.971574i | ||||
\(315\) | −1.31948 | − | 0.301162i | −0.0743440 | − | 0.0169685i | ||||
\(316\) | 6.75004 | − | 1.26917i | 0.379719 | − | 0.0713967i | ||||
\(317\) | −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 | ||||
\(322\) | 7.66659 | − | 5.22057i | 0.427242 | − | 0.290931i | ||||
\(323\) | 0.565886 | − | 2.47931i | 0.0314868 | − | 0.137952i | ||||
\(324\) | −12.6456 | − | 1.92082i | −0.702534 | − | 0.106712i | ||||
\(325\) | −0.172302 | − | 0.137406i | −0.00955760 | − | 0.00762193i | ||||
\(326\) | 15.9467 | + | 3.02674i | 0.883207 | + | 0.167635i | ||||
\(327\) | −10.4991 | − | 3.67379i | −0.580601 | − | 0.203161i | ||||
\(328\) | 0.506181 | − | 0.504446i | 0.0279492 | − | 0.0278534i | ||||
\(329\) | 3.97737 | + | 6.32995i | 0.219279 | + | 0.348981i | ||||
\(330\) | 1.35540 | − | 17.9487i | 0.0746124 | − | 0.988045i | ||||
\(331\) | 9.76056 | + | 9.76056i | 0.536489 | + | 0.536489i | 0.922496 | − | 0.386007i | \(-0.126146\pi\) |
−0.386007 | + | 0.922496i | \(0.626146\pi\) | |||||||
\(332\) | 7.07556 | + | 23.0320i | 0.388322 | + | 1.26404i | ||||
\(333\) | 7.46230 | − | 0.840800i | 0.408932 | − | 0.0460755i | ||||
\(334\) | 18.4010 | + | 5.68749i | 1.00686 | + | 0.311205i | ||||
\(335\) | 9.89262 | − | 20.5422i | 0.540492 | − | 1.12234i | ||||
\(336\) | 3.71637 | − | 3.18341i | 0.202744 | − | 0.173669i | ||||
\(337\) | 21.2882 | − | 7.44906i | 1.15964 | − | 0.405776i | 0.319205 | − | 0.947686i | \(-0.396584\pi\) |
0.840437 | + | 0.541909i | \(0.182298\pi\) | |||||||
\(338\) | −18.0351 | + | 2.70780i | −0.980982 | + | 0.147285i | ||||
\(339\) | 1.90010 | + | 3.94560i | 0.103199 | + | 0.214296i | ||||
\(340\) | 2.69315 | + | 6.19209i | 0.146056 | + | 0.335813i | ||||
\(341\) | 13.0579 | − | 2.98038i | 0.707124 | − | 0.161396i | ||||
\(342\) | 0.833617 | + | 1.57947i | 0.0450769 | + | 0.0854079i | ||||
\(343\) | −8.42450 | + | 6.71831i | −0.454880 | + | 0.362755i | ||||
\(344\) | 2.18213 | + | 19.6704i | 0.117653 | + | 1.06056i | ||||
\(345\) | 24.8523 | + | 15.6157i | 1.33800 | + | 0.840723i | ||||
\(346\) | 30.2736 | + | 17.5016i | 1.62752 | + | 0.940891i | ||||
\(347\) | −1.56954 | −0.0842572 | −0.0421286 | − | 0.999112i | \(-0.513414\pi\) | ||||
−0.0421286 | + | 0.999112i | \(0.513414\pi\) | |||||||
\(348\) | 8.23543 | + | 14.0922i | 0.441465 | + | 0.755423i | ||||
\(349\) | −0.312423 | −0.0167236 | −0.00836181 | − | 0.999965i | \(-0.502662\pi\) | ||||
−0.00836181 | + | 0.999965i | \(0.502662\pi\) | |||||||
\(350\) | 0.674443 | + | 0.389905i | 0.0360505 | + | 0.0208413i | ||||
\(351\) | 1.53469 | + | 0.964310i | 0.0819157 | + | 0.0514710i | ||||
\(352\) | −15.0693 | − | 13.0434i | −0.803198 | − | 0.695218i | ||||
\(353\) | 9.27715 | − | 7.39828i | 0.493773 | − | 0.393771i | −0.344701 | − | 0.938713i | \(-0.612020\pi\) |
0.838474 | + | 0.544942i | \(0.183448\pi\) | |||||||
\(354\) | −14.0859 | − | 26.6888i | −0.748658 | − | 1.41849i | ||||
\(355\) | 1.44427 | − | 0.329645i | 0.0766537 | − | 0.0174957i | ||||
\(356\) | −1.98624 | + | 0.863884i | −0.105271 | + | 0.0457858i | ||||
\(357\) | 0.751775 | + | 1.56108i | 0.0397882 | + | 0.0826210i | ||||
\(358\) | −15.1936 | + | 2.28117i | −0.803004 | + | 0.120563i | ||||
\(359\) | 25.8036 | − | 9.02906i | 1.36186 | − | 0.476535i | 0.452210 | − | 0.891911i | \(-0.350636\pi\) |
0.909650 | + | 0.415376i | \(0.136350\pi\) | |||||||
\(360\) | −4.26895 | − | 2.06485i | −0.224993 | − | 0.108827i | ||||
\(361\) | 6.84496 | − | 14.2137i | 0.360261 | − | 0.748090i | ||||
\(362\) | −2.34336 | − | 0.724300i | −0.123164 | − | 0.0380684i | ||||
\(363\) | −2.12789 | + | 0.239756i | −0.111686 | + | 0.0125839i | ||||
\(364\) | −0.498410 | + | 0.153115i | −0.0261238 | + | 0.00802538i | ||||
\(365\) | −16.7505 | − | 16.7505i | −0.876762 | − | 0.876762i | ||||
\(366\) | −0.771091 | + | 10.2111i | −0.0403055 | + | 0.533741i | ||||
\(367\) | −1.82129 | − | 2.89856i | −0.0950704 | − | 0.151304i | 0.795803 | − | 0.605556i | \(-0.207049\pi\) |
−0.890873 | + | 0.454252i | \(0.849906\pi\) | |||||||
\(368\) | 30.2795 | − | 11.8039i | 1.57843 | − | 0.615322i | ||||
\(369\) | −0.167730 | − | 0.0586912i | −0.00873166 | − | 0.00305534i | ||||
\(370\) | −35.3629 | − | 6.71199i | −1.83843 | − | 0.348940i | ||||
\(371\) | 7.57968 | + | 6.04459i | 0.393517 | + | 0.313820i | ||||
\(372\) | −1.73036 | + | 11.3917i | −0.0897149 | + | 0.590631i | ||||
\(373\) | −2.14173 | + | 9.38354i | −0.110895 | + | 0.485861i | 0.888729 | + | 0.458433i | \(0.151589\pi\) |
−0.999624 | + | 0.0274284i | \(0.991268\pi\) | |||||||
\(374\) | 5.83299 | − | 3.97197i | 0.301617 | − | 0.205386i | ||||
\(375\) | 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 | −0.453242 | − | 0.891388i | \(-0.649733\pi\) |
−0.640230 | + | 0.768183i | \(0.721161\pi\) | |||||||
\(380\) | −1.58184 | − | 8.41293i | −0.0811467 | − | 0.431574i | ||||
\(381\) | 2.20059 | + | 0.502271i | 0.112740 | + | 0.0257321i | ||||
\(382\) | −4.97231 | − | 18.5995i | −0.254406 | − | 0.951633i | ||||
\(383\) | −14.3027 | + | 17.9350i | −0.730832 | + | 0.916435i | −0.998896 | − | 0.0469664i | \(-0.985045\pi\) |
0.268064 | + | 0.963401i | \(0.413616\pi\) | |||||||
\(384\) | 15.1907 | − | 7.95083i | 0.775198 | − | 0.405739i | ||||
\(385\) | 2.23918 | − | 6.39920i | 0.114119 | − | 0.326133i | ||||
\(386\) | −0.191884 | − | 5.20797i | −0.00976662 | − | 0.265079i | ||||
\(387\) | 4.16704 | − | 2.61832i | 0.211822 | − | 0.133097i | ||||
\(388\) | −11.6251 | + | 21.9349i | −0.590173 | + | 1.11358i | ||||
\(389\) | −10.2595 | + | 10.2595i | −0.520179 | + | 0.520179i | −0.917625 | − | 0.397446i | \(-0.869897\pi\) |
0.397446 | + | 0.917625i | \(0.369897\pi\) | |||||||
\(390\) | −1.07552 | − | 1.25122i | −0.0544609 | − | 0.0633580i | ||||
\(391\) | 1.28841 | + | 11.4349i | 0.0651575 | + | 0.578288i | ||||
\(392\) | −16.1910 | + | 7.76298i | −0.817771 | + | 0.392090i | ||||
\(393\) | 6.46235 | + | 3.11210i | 0.325982 | + | 0.156985i | ||||
\(394\) | −0.112689 | − | 0.287611i | −0.00567720 | − | 0.0144896i | ||||
\(395\) | 2.70376 | + | 7.72689i | 0.136041 | + | 0.388782i | ||||
\(396\) | −1.28818 | + | 4.78563i | −0.0647333 | + | 0.240487i | ||||
\(397\) | 2.27435 | − | 1.09527i | 0.114146 | − | 0.0549700i | −0.375939 | − | 0.926644i | \(-0.622680\pi\) |
0.490085 | + | 0.871674i | \(0.336966\pi\) | |||||||
\(398\) | −5.64694 | + | 6.07897i | −0.283055 | + | 0.304711i | ||||
\(399\) | −0.488786 | − | 2.14151i | −0.0244699 | − | 0.107210i | ||||
\(400\) | 1.99669 | + | 1.86118i | 0.0998345 | + | 0.0930591i | ||||
\(401\) | 0.549221 | + | 0.688702i | 0.0274268 | + | 0.0343921i | 0.795356 | − | 0.606143i | \(-0.207284\pi\) |
−0.767929 | + | 0.640535i | \(0.778713\pi\) | |||||||
\(402\) | 12.1823 | − | 16.4866i | 0.607596 | − | 0.822277i | ||||
\(403\) | 0.653186 | − | 1.03954i | 0.0325375 | − | 0.0517832i | ||||
\(404\) | −5.97722 | − | 8.11828i | −0.297378 | − | 0.403899i | ||||
\(405\) | − | 15.2451i | − | 0.757533i | ||||||
\(406\) | 1.62581 | + | 5.92889i | 0.0806873 | + | 0.294246i | ||||
\(407\) | 37.6175i | 1.86463i | ||||||||
\(408\) | 1.34075 | + | 5.92105i | 0.0663770 | + | 0.293136i | ||||
\(409\) | −18.0925 | + | 28.7941i | −0.894617 | + | 1.42377i | 0.0111220 | + | 0.999938i | \(0.496460\pi\) |
−0.905739 | + | 0.423836i | \(0.860683\pi\) | |||||||
\(410\) | 0.685028 | + | 0.506179i | 0.0338311 | + | 0.0249984i | ||||
\(411\) | −2.78102 | − | 3.48729i | −0.137178 | − | 0.172015i | ||||
\(412\) | 21.6768 | − | 1.59950i | 1.06794 | − | 0.0788018i | ||||
\(413\) | −2.52929 | − | 11.0815i | −0.124458 | − | 0.545287i | ||||
\(414\) | −5.92091 | − | 5.50011i | −0.290997 | − | 0.270316i | ||||
\(415\) | −25.8738 | + | 12.4602i | −1.27009 | + | 0.611645i | ||||
\(416\) | −1.82216 | + | 0.131310i | −0.0893389 | + | 0.00643799i | ||||
\(417\) | 3.49505 | + | 9.98827i | 0.171153 | + | 0.489128i | ||||
\(418\) | −8.32985 | + | 3.26372i | −0.407426 | + | 0.159634i | ||||
\(419\) | −4.42520 | − | 2.13106i | −0.216185 | − | 0.104109i | 0.322657 | − | 0.946516i | \(-0.395424\pi\) |
−0.538842 | + | 0.842407i | \(0.681138\pi\) | |||||||
\(420\) | 4.41644 | + | 3.80946i | 0.215500 | + | 0.185883i | ||||
\(421\) | 1.27506 | + | 11.3165i | 0.0621428 | + | 0.551532i | 0.985753 | + | 0.168199i | \(0.0537952\pi\) |
−0.923610 | + | 0.383333i | \(0.874776\pi\) | |||||||
\(422\) | 5.59674 | − | 4.81081i | 0.272445 | − | 0.234187i | ||||
\(423\) | 4.60575 | − | 4.60575i | 0.223939 | − | 0.223939i | ||||
\(424\) | 21.1336 | + | 26.5942i | 1.02634 | + | 1.29153i | ||||
\(425\) | −0.818362 | + | 0.514211i | −0.0396964 | + | 0.0249429i | ||||
\(426\) | 1.33100 | − | 0.0490398i | 0.0644872 | − | 0.00237598i | ||||
\(427\) | −1.27387 | + | 3.64052i | −0.0616470 | + | 0.176177i | ||||
\(428\) | 18.0354 | − | 26.3881i | 0.871774 | − | 1.27552i | ||||
\(429\) | −1.07511 | + | 1.34815i | −0.0519069 | + | 0.0650892i | ||||
\(430\) | −22.7885 | + | 6.09219i | −1.09896 | + | 0.293792i | ||||
\(431\) | −20.8333 | − | 4.75506i | −1.00350 | − | 0.229043i | −0.310963 | − | 0.950422i | \(-0.600652\pi\) |
−0.692541 | + | 0.721379i | \(0.743509\pi\) | |||||||
\(432\) | −18.0320 | − | 13.3721i | −0.867567 | − | 0.643367i | ||||
\(433\) | −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 | ||||
\(438\) | −11.9876 | − | 17.6042i | −0.572789 | − | 0.841161i | ||||
\(439\) | 5.35851 | − | 23.4772i | 0.255748 | − | 1.12051i | −0.669999 | − | 0.742362i | \(-0.733706\pi\) |
0.925747 | − | 0.378143i | \(-0.123437\pi\) | |||||||
\(440\) | 12.6728 | − | 20.0919i | 0.604151 | − | 0.957846i | ||||
\(441\) | 3.49088 | + | 2.78388i | 0.166232 | + | 0.132566i | ||||
\(442\) | 0.120624 | − | 0.635520i | 0.00573749 | − | 0.0302286i | ||||
\(443\) | 30.3796 | + | 10.6303i | 1.44338 | + | 0.505060i | 0.934557 | − | 0.355813i | \(-0.115796\pi\) |
0.508821 | + | 0.860872i | \(0.330082\pi\) | |||||||
\(444\) | −30.1111 | − | 11.8575i | −1.42901 | − | 0.562734i | ||||
\(445\) | −1.37350 | − | 2.18591i | −0.0651100 | − | 0.103622i | ||||
\(446\) | −23.0889 | − | 1.74357i | −1.09329 | − | 0.0825602i | ||||
\(447\) | −14.8877 | − | 14.8877i | −0.704162 | − | 0.704162i | ||||
\(448\) | 6.30091 | − | 1.41539i | 0.297690 | − | 0.0668711i | ||||
\(449\) | −15.2668 | + | 1.72015i | −0.720483 | + | 0.0811790i | −0.464590 | − | 0.885526i | \(-0.653798\pi\) |
−0.255893 | + | 0.966705i | \(0.582370\pi\) | |||||||
\(450\) | 0.200439 | − | 0.648489i | 0.00944878 | − | 0.0305701i | ||||
\(451\) | 0.386228 | − | 0.802010i | 0.0181868 | − | 0.0377652i | ||||
\(452\) | −0.222710 | + | 5.77512i | −0.0104754 | + | 0.271639i | ||||
\(453\) | 1.91479 | − | 0.670015i | 0.0899648 | − | 0.0314800i | ||||
\(454\) | −0.0411345 | − | 0.273973i | −0.00193054 | − | 0.0128582i | ||||
\(455\) | −0.269637 | − | 0.559907i | −0.0126408 | − | 0.0262488i | ||||
\(456\) | 0.0132144 | − | 7.69643i | 0.000618819 | − | 0.360418i | ||||
\(457\) | 12.1917 | − | 2.78268i | 0.570304 | − | 0.130168i | 0.0723617 | − | 0.997378i | \(-0.476946\pi\) |
0.497942 | + | 0.867210i | \(0.334089\pi\) | |||||||
\(458\) | −10.9262 | + | 5.76669i | −0.510550 | + | 0.269460i | ||||
\(459\) | 6.21466 | − | 4.95603i | 0.290076 | − | 0.231328i | ||||
\(460\) | 19.3292 | + | 33.5678i | 0.901228 | + | 1.56511i | ||||
\(461\) | −30.3665 | − | 19.0806i | −1.41431 | − | 0.888670i | −0.414539 | − | 0.910032i | \(-0.636057\pi\) |
−0.999772 | + | 0.0213616i | \(0.993200\pi\) | |||||||
\(462\) | 3.05074 | − | 5.27706i | 0.141933 | − | 0.245511i | ||||
\(463\) | 26.5061 | 1.23184 | 0.615921 | − | 0.787808i | \(-0.288784\pi\) | ||||
0.615921 | + | 0.787808i | \(0.288784\pi\) | |||||||
\(464\) | 0.894159 | + | 21.5221i | 0.0415103 | + | 0.999138i | ||||
\(465\) | −13.7334 | −0.636870 | ||||||||
\(466\) | 16.3029 | − | 28.2002i | 0.755218 | − | 1.30635i | ||||
\(467\) | −33.5547 | − | 21.0838i | −1.55273 | − | 0.975644i | −0.988703 | − | 0.149887i | \(-0.952109\pi\) |
−0.564025 | − | 0.825757i | \(-0.690748\pi\) | |||||||
\(468\) | 0.226691 | + | 0.393681i | 0.0104788 | + | 0.0181979i | ||||
\(469\) | 6.03654 | − | 4.81398i | 0.278741 | − | 0.222289i | ||||
\(470\) | −27.6106 | + | 14.5724i | −1.27358 | + | 0.672176i | ||||
\(471\) | 18.6182 | − | 4.24948i | 0.857880 | − | 0.195806i | ||||
\(472\) | 0.0683796 | − | 39.8262i | 0.00314743 | − | 1.83315i | ||||
\(473\) | 10.6964 | + | 22.2113i | 0.491820 | + | 1.02128i | ||||
\(474\) | 1.09280 | + | 7.27854i | 0.0501941 | + | 0.334314i | ||||
\(475\) | 1.15652 | − | 0.404685i | 0.0530649 | − | 0.0185682i | ||||
\(476\) | −0.0881152 | + | 2.28493i | −0.00403875 | + | 0.104730i | ||||
\(477\) | 3.66495 | − | 7.61035i | 0.167807 | − | 0.348454i | ||||
\(478\) | −4.28552 | + | 13.8651i | −0.196015 | + | 0.634177i | ||||
\(479\) | 30.7764 | − | 3.46766i | 1.40621 | − | 0.158442i | 0.623983 | − | 0.781438i | \(-0.285513\pi\) |
0.782225 | + | 0.622996i | \(0.214085\pi\) | |||||||
\(480\) | 12.0880 | + | 16.4772i | 0.551741 | + | 0.752078i | ||||
\(481\) | 2.43823 | + | 2.43823i | 0.111174 | + | 0.111174i | ||||
\(482\) | 5.35833 | + | 0.404635i | 0.244065 | + | 0.0184306i | ||||
\(483\) | 5.28810 | + | 8.41596i | 0.240617 | + | 0.382939i | ||||
\(484\) | −2.62945 | − | 1.03546i | −0.119521 | − | 0.0470664i | ||||
\(485\) | −27.9283 | − | 9.77252i | −1.26816 | − | 0.443747i | ||||
\(486\) | −1.88423 | + | 9.92727i | −0.0854702 | + | 0.450310i | ||||
\(487\) | 16.2682 | + | 12.9735i | 0.737184 | + | 0.587885i | 0.918444 | − | 0.395551i | \(-0.129446\pi\) |
−0.181260 | + | 0.983435i | \(0.558018\pi\) | |||||||
\(488\) | −7.20956 | + | 11.4303i | −0.326362 | + | 0.517427i | ||||
\(489\) | −3.87045 | + | 16.9575i | −0.175028 | + | 0.766847i | ||||
\(490\) | −12.0457 | − | 17.6896i | −0.544171 | − | 0.799134i | ||||
\(491\) | −1.55034 | + | 13.7597i | −0.0699661 | + | 0.620966i | 0.908979 | + | 0.416842i | \(0.136863\pi\) |
−0.978945 | + | 0.204124i | \(0.934565\pi\) | |||||||
\(492\) | 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 | ||||
\(496\) | −9.05776 | + | 12.2142i | −0.406706 | + | 0.548434i | ||||
\(497\) | 0.489085 | + | 0.111630i | 0.0219385 | + | 0.00500731i | ||||
\(498\) | −24.9436 | + | 6.66831i | −1.11775 | + | 0.298814i | ||||
\(499\) | 11.5574 | − | 14.4925i | 0.517379 | − | 0.648772i | −0.452672 | − | 0.891677i | \(-0.649529\pi\) |
0.970050 | + | 0.242905i | \(0.0781004\pi\) | |||||||
\(500\) | 11.6151 | − | 16.9943i | 0.519441 | − | 0.760010i | ||||
\(501\) | −6.81662 | + | 19.4808i | −0.304544 | + | 0.870337i | ||||
\(502\) | 33.5811 | − | 1.23727i | 1.49880 | − | 0.0552222i | ||||
\(503\) | −18.1966 | + | 11.4337i | −0.811346 | + | 0.509802i | −0.872667 | − | 0.488316i | \(-0.837611\pi\) |
0.0613212 | + | 0.998118i | \(0.480469\pi\) | |||||||
\(504\) | −0.999081 | − | 1.25723i | −0.0445026 | − | 0.0560015i | ||||
\(505\) | 8.49649 | − | 8.49649i | 0.378089 | − | 0.378089i | ||||
\(506\) | 30.6994 | − | 26.3884i | 1.36475 | − | 1.17311i | ||||
\(507\) | −2.18814 | − | 19.4202i | −0.0971786 | − | 0.862484i | ||||
\(508\) | 2.25566 | + | 1.94565i | 0.100079 | + | 0.0863242i | ||||
\(509\) | −0.209239 | − | 0.100764i | −0.00927436 | − | 0.00446630i | 0.429241 | − | 0.903190i | \(-0.358781\pi\) |
−0.438515 | + | 0.898724i | \(0.644495\pi\) | |||||||
\(510\) | −6.73723 | + | 2.63972i | −0.298329 | + | 0.116889i | ||||
\(511\) | −2.64948 | − | 7.57179i | −0.117206 | − | 0.334956i | ||||
\(512\) | 22.6271 | + | 0.116550i | 0.999987 | + | 0.00515082i | ||||
\(513\) | −9.07919 | + | 4.37231i | −0.400856 | + | 0.193042i | ||||
\(514\) | 19.9761 | + | 18.5564i | 0.881106 | + | 0.818486i | ||||
\(515\) | 5.76476 | + | 25.2570i | 0.254025 | + | 1.11296i | ||||
\(516\) | −21.1507 | + | 1.56068i | −0.931109 | + | 0.0687053i | ||||
\(517\) | 20.3434 | + | 25.5098i | 0.894700 | + | 1.12192i | ||||
\(518\) | −9.80314 | − | 7.24372i | −0.430725 | − | 0.318271i | ||||
\(519\) | −19.9365 | + | 31.7288i | −0.875116 | + | 1.39274i | ||||
\(520\) | −0.480882 | − | 2.12368i | −0.0210881 | − | 0.0931297i | ||||
\(521\) | 36.2599i | 1.58857i | 0.607543 | + | 0.794287i | \(0.292155\pi\) | ||||
−0.607543 | + | 0.794287i | \(0.707845\pi\) | |||||||
\(522\) | 4.72099 | − | 2.53049i | 0.206632 | − | 0.110757i | ||||
\(523\) | − | 3.85040i | − | 0.168366i | −0.996450 | − | 0.0841830i | \(-0.973172\pi\) | ||
0.996450 | − | 0.0841830i | \(-0.0268280\pi\) | |||||||
\(524\) | 5.61232 | + | 7.62267i | 0.245175 | + | 0.332998i | ||||
\(525\) | −0.444151 | + | 0.706862i | −0.0193843 | + | 0.0308500i | ||||
\(526\) | 11.0630 | − | 14.9719i | 0.482371 | − | 0.652807i | ||||
\(527\) | −3.35702 | − | 4.20957i | −0.146234 | − | 0.183372i | ||||
\(528\) | 14.5625 | − | 15.6228i | 0.633751 | − | 0.679893i | ||||
\(529\) | 9.57095 | + | 41.9331i | 0.416128 | + | 1.82318i | ||||
\(530\) | −27.5552 | + | 29.6633i | −1.19692 | + | 1.28849i | ||||
\(531\) | −8.92267 | + | 4.29693i | −0.387211 | + | 0.186471i | ||||
\(532\) | 0.753487 | − | 2.79923i | 0.0326678 | − | 0.121362i | ||||
\(533\) | −0.0269494 | − | 0.0770171i | −0.00116731 | − | 0.00333598i | ||||
\(534\) | −0.846745 | − | 2.16111i | −0.0366423 | − | 0.0935203i | ||||
\(535\) | 34.3232 | + | 16.5292i | 1.48392 | + | 0.714619i | ||||
\(536\) | 24.3941 | − | 11.6960i | 1.05367 | − | 0.505192i | ||||
\(537\) | −1.84338 | − | 16.3604i | −0.0795476 | − | 0.706005i | ||||
\(538\) | −0.824366 | − | 0.959040i | −0.0355409 | − | 0.0413472i | ||||
\(539\) | −15.8156 | + | 15.8156i | −0.681225 | + | 0.681225i | ||||
\(540\) | 12.5298 | − | 23.6420i | 0.539196 | − | 1.01739i | ||||
\(541\) | −0.604044 | + | 0.379546i | −0.0259699 | + | 0.0163180i | −0.544954 | − | 0.838466i | \(-0.683453\pi\) |
0.518985 | + | 0.854784i | \(0.326310\pi\) | |||||||
\(542\) | −1.31836 | − | 35.7819i | −0.0566283 | − | 1.53697i | ||||
\(543\) | 0.868095 | − | 2.48087i | 0.0372535 | − | 0.106464i | ||||
\(544\) | −2.09578 | + | 7.73297i | −0.0898558 | + | 0.331549i | ||||
\(545\) | 10.9089 | − | 13.6793i | 0.467284 | − | 0.585956i | ||||
\(546\) | −0.144302 | − | 0.539777i | −0.00617554 | − | 0.0231003i | ||||
\(547\) | 29.6060 | + | 6.75738i | 1.26586 | + | 0.288925i | 0.802183 | − | 0.597079i | \(-0.203672\pi\) |
0.463679 | + | 0.886003i | \(0.346529\pi\) | |||||||
\(548\) | −1.08774 | − | 5.78511i | −0.0464661 | − | 0.247128i | ||||
\(549\) | 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 | ||||
\(554\) | 17.1780 | − | 11.6974i | 0.729824 | − | 0.496974i | ||||
\(555\) | 8.58298 | − | 37.6045i | 0.364327 | − | 1.59622i | ||||
\(556\) | −2.09724 | + | 13.8070i | −0.0889427 | + | 0.585548i | ||||
\(557\) | −21.4643 | − | 17.1172i | −0.909471 | − | 0.725279i | 0.0524448 | − | 0.998624i | \(-0.483299\pi\) |
−0.961916 | + | 0.273345i | \(0.911870\pi\) | |||||||
\(558\) | 3.71494 | + | 0.705108i | 0.157266 | + | 0.0298496i | ||||
\(559\) | 2.13295 | + | 0.746351i | 0.0902141 | + | 0.0315673i | ||||
\(560\) | 2.79567 | + | 7.17148i | 0.118139 | + | 0.303050i | ||||
\(561\) | 4.02335 | + | 6.40313i | 0.169866 | + | 0.270340i | ||||
\(562\) | 3.42344 | − | 45.3344i | 0.144409 | − | 1.91232i | ||||
\(563\) | −1.46393 | − | 1.46393i | −0.0616973 | − | 0.0616973i | 0.675585 | − | 0.737282i | \(-0.263891\pi\) |
−0.737282 | + | 0.675585i | \(0.763891\pi\) | |||||||
\(564\) | −26.8319 | + | 8.24292i | −1.12983 | + | 0.347089i | ||||
\(565\) | −6.84511 | + | 0.771259i | −0.287976 | + | 0.0324471i | ||||
\(566\) | 4.88570 | + | 1.51010i | 0.205361 | + | 0.0634743i | ||||
\(567\) | 2.23995 | − | 4.65131i | 0.0940692 | − | 0.195337i | ||||
\(568\) | 1.58235 | + | 0.765372i | 0.0663941 | + | 0.0321143i | ||||
\(569\) | −22.2577 | + | 7.78829i | −0.933089 | + | 0.326502i | −0.753657 | − | 0.657268i | \(-0.771712\pi\) |
−0.179433 | + | 0.983770i | \(0.557426\pi\) | |||||||
\(570\) | 9.07163 | − | 1.36202i | 0.379969 | − | 0.0570487i | ||||
\(571\) | −19.5965 | − | 40.6925i | −0.820087 | − | 1.70293i | −0.704584 | − | 0.709621i | \(-0.748866\pi\) |
−0.115503 | − | 0.993307i | \(-0.536848\pi\) | |||||||
\(572\) | −2.08681 | + | 0.907626i | −0.0872541 | + | 0.0379497i | ||||
\(573\) | 20.1140 | − | 4.59088i | 0.840273 | − | 0.191787i | ||||
\(574\) | 0.134631 | + | 0.255088i | 0.00561940 | + | 0.0106472i | ||||
\(575\) | −4.33474 | + | 3.45684i | −0.180771 | + | 0.144160i | ||||
\(576\) | −2.42389 | − | 5.07779i | −0.100995 | − | 0.211575i | ||||
\(577\) | −1.83223 | − | 1.15127i | −0.0762769 | − | 0.0479280i | 0.493354 | − | 0.869829i | \(-0.335771\pi\) |
−0.569631 | + | 0.821901i | \(0.692914\pi\) | |||||||
\(578\) | 18.3578 | + | 10.6129i | 0.763583 | + | 0.441438i | ||||
\(579\) | 5.58466 | 0.232091 | ||||||||
\(580\) | −25.2010 | + | 4.90591i | −1.04641 | + | 0.203707i | ||||
\(581\) | −9.72494 | −0.403459 | ||||||||
\(582\) | −23.0309 | − | 13.3145i | −0.954661 | − | 0.551903i | ||||
\(583\) | 35.8274 | + | 22.5118i | 1.48382 | + | 0.932345i | ||||
\(584\) | −3.09908 | − | 27.9361i | −0.128241 | − | 1.15601i | ||||
\(585\) | −0.423327 | + | 0.337592i | −0.0175024 | + | 0.0139577i | ||||
\(586\) | 12.3508 | + | 23.4013i | 0.510208 | + | 0.966699i | ||||
\(587\) | −37.1598 | + | 8.48148i | −1.53375 | + | 0.350068i | −0.904274 | − | 0.426952i | \(-0.859587\pi\) |
−0.629475 | + | 0.777021i | \(0.716730\pi\) | |||||||
\(588\) | −7.67437 | − | 17.6449i | −0.316485 | − | 0.727664i | ||||
\(589\) | 2.96163 | + | 6.14989i | 0.122032 | + | 0.253402i | ||||
\(590\) | 46.9424 | − | 7.04796i | 1.93259 | − | 0.290160i | ||||
\(591\) | 0.312442 | − | 0.109328i | 0.0128522 | − | 0.00449717i | ||||
\(592\) | −27.7839 | − | 32.4354i | −1.14191 | − | 1.33309i | ||||
\(593\) | 8.59926 | − | 17.8566i | 0.353129 | − | 0.733281i | −0.646430 | − | 0.762974i | \(-0.723739\pi\) |
0.999559 | + | 0.0296929i | \(0.00945292\pi\) | |||||||
\(594\) | −26.7167 | − | 8.25774i | −1.09620 | − | 0.338819i | ||||
\(595\) | −2.70827 | + | 0.305149i | −0.111028 | + | 0.0125099i | ||||
\(596\) | −8.15960 | − | 26.5607i | −0.334230 | − | 1.08797i | ||||
\(597\) | −6.28702 | − | 6.28702i | −0.257311 | − | 0.257311i | ||||
\(598\) | 0.279422 | − | 3.70021i | 0.0114264 | − | 0.151313i | ||||
\(599\) | −12.4672 | − | 19.8415i | −0.509397 | − | 0.810701i | 0.488694 | − | 0.872455i | \(-0.337473\pi\) |
−0.998091 | + | 0.0617540i | \(0.980331\pi\) | |||||||
\(600\) | −2.07188 | + | 2.06477i | −0.0845840 | + | 0.0842941i | ||||
\(601\) | 30.6784 | + | 10.7348i | 1.25140 | + | 0.437883i | 0.872981 | − | 0.487754i | \(-0.162184\pi\) |
0.378415 | + | 0.925636i | \(0.376469\pi\) | |||||||
\(602\) | −7.84798 | − | 1.48957i | −0.319860 | − | 0.0607104i | ||||
\(603\) | −5.25951 | − | 4.19432i | −0.214184 | − | 0.170806i | ||||
\(604\) | 2.64686 | + | 0.402049i | 0.107699 | + | 0.0163591i | ||||
\(605\) | 0.749510 | − | 3.28382i | 0.0304719 | − | 0.133506i | ||||
\(606\) | 8.92951 | − | 6.08055i | 0.362737 | − | 0.247006i | ||||
\(607\) | 0.484865 | − | 4.30330i | 0.0196801 | − | 0.174665i | −0.980027 | − | 0.198864i | \(-0.936275\pi\) |
0.999707 | + | 0.0241985i | \(0.00770338\pi\) | |||||||
\(608\) | 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 | ||||
\(612\) | 1.95798 | − | 0.368149i | 0.0791467 | − | 0.0148815i | ||||
\(613\) | 9.88205 | + | 2.25551i | 0.399132 | + | 0.0910993i | 0.417375 | − | 0.908734i | \(-0.362950\pi\) |
−0.0182430 | + | 0.999834i | \(0.505807\pi\) | |||||||
\(614\) | 12.3156 | + | 46.0681i | 0.497019 | + | 1.85916i | ||||
\(615\) | −0.569084 | + | 0.713609i | −0.0229477 | + | 0.0287755i | ||||
\(616\) | 6.81861 | − | 4.26810i | 0.274730 | − | 0.171967i | ||||
\(617\) | 4.45182 | − | 12.7226i | 0.179223 | − | 0.512191i | −0.818865 | − | 0.573985i | \(-0.805397\pi\) |
0.998089 | + | 0.0617944i | \(0.0196823\pi\) | |||||||
\(618\) | 0.857597 | + | 23.2763i | 0.0344976 | + | 0.936309i | ||||
\(619\) | −10.0557 | + | 6.31840i | −0.404172 | + | 0.253958i | −0.718743 | − | 0.695276i | \(-0.755282\pi\) |
0.314571 | + | 0.949234i | \(0.398139\pi\) | |||||||
\(620\) | −16.0142 | − | 8.48719i | −0.643144 | − | 0.340854i | ||||
\(621\) | 32.2431 | − | 32.2431i | 1.29387 | − | 1.29387i | ||||
\(622\) | −3.59155 | − | 4.17829i | −0.144008 | − | 0.167534i | ||||
\(623\) | −0.0978830 | − | 0.868735i | −0.00392160 | − | 0.0348051i | ||||
\(624\) | −0.0687220 | − | 1.95649i | −0.00275108 | − | 0.0783224i | ||||
\(625\) | 25.1788 | + | 12.1255i | 1.00715 | + | 0.485018i | ||||
\(626\) | 6.10419 | + | 15.5794i | 0.243972 | + | 0.622679i | ||||
\(627\) | −3.16639 | − | 9.04902i | −0.126453 | − | 0.361383i | ||||
\(628\) | 24.3364 | + | 6.55078i | 0.971127 | + | 0.261404i | ||||
\(629\) | 13.6246 | − | 6.56128i | 0.543250 | − | 0.261615i | ||||
\(630\) | 1.30266 | − | 1.40232i | 0.0518992 | − | 0.0558699i | ||||
\(631\) | −4.46687 | − | 19.5706i | −0.177823 | − | 0.779095i | −0.982633 | − | 0.185561i | \(-0.940590\pi\) |
0.804809 | − | 0.593533i | \(-0.202268\pi\) | |||||||
\(632\) | −3.22383 | + | 9.16267i | −0.128237 | + | 0.364472i | ||||
\(633\) | 4.93097 | + | 6.18324i | 0.195988 | + | 0.245762i | ||||
\(634\) | 8.20408 | − | 11.1028i | 0.325826 | − | 0.440950i | ||||
\(635\) | −1.88896 | + | 3.00626i | −0.0749610 | + | 0.119300i | ||||
\(636\) | −29.3129 | + | 21.5821i | −1.16233 | + | 0.855788i | ||||
\(637\) | 2.05021i | 0.0812324i | ||||||||
\(638\) | 9.94849 | + | 24.9195i | 0.393865 | + | 0.986572i | ||||
\(639\) | − | 0.437088i | − | 0.0172909i | ||||||
\(640\) | 3.91271 | + | 26.6840i | 0.154663 | + | 1.05478i | ||||
\(641\) | −3.70209 | + | 5.89185i | −0.146224 | + | 0.232714i | −0.911803 | − | 0.410628i | \(-0.865310\pi\) |
0.765579 | + | 0.643342i | \(0.222452\pi\) | |||||||
\(642\) | 27.5468 | + | 20.3549i | 1.08719 | + | 0.803342i | ||||
\(643\) | 13.0100 | + | 16.3141i | 0.513066 | + | 0.643364i | 0.969121 | − | 0.246588i | \(-0.0793093\pi\) |
−0.456055 | + | 0.889952i | \(0.650738\pi\) | |||||||
\(644\) | 0.965279 | + | 13.0817i | 0.0380373 | + | 0.515490i | ||||
\(645\) | −5.62485 | − | 24.6441i | −0.221478 | − | 0.970360i | ||||
\(646\) | 2.63498 | + | 2.44771i | 0.103672 | + | 0.0963039i | ||||
\(647\) | 20.3721 | − | 9.81068i | 0.800909 | − | 0.385698i | 0.0117845 | − | 0.999931i | \(-0.496249\pi\) |
0.789125 | + | 0.614233i | \(0.210535\pi\) | |||||||
\(648\) | 11.3024 | − | 14.1229i | 0.444000 | − | 0.554802i | ||||
\(649\) | −16.3849 | − | 46.8254i | −0.643164 | − | 1.83806i | ||||
\(650\) | 0.290189 | − | 0.113699i | 0.0113821 | − | 0.00445965i | ||||
\(651\) | −4.19010 | − | 2.01784i | −0.164223 | − | 0.0790855i | ||||
\(652\) | −14.9930 | + | 17.3819i | −0.587170 | + | 0.680726i | ||||
\(653\) | 2.26939 | + | 20.1414i | 0.0888083 | + | 0.788195i | 0.956627 | + | 0.291315i | \(0.0940927\pi\) |
−0.867819 | + | 0.496881i | \(0.834479\pi\) | |||||||
\(654\) | 11.9293 | − | 10.2541i | 0.466473 | − | 0.400968i | ||||
\(655\) | −7.97779 | + | 7.97779i | −0.311718 | + | 0.311718i | ||||
\(656\) | 0.259335 | + | 0.976789i | 0.0101253 | + | 0.0381372i | ||||
\(657\) | −5.91806 | + | 3.71856i | −0.230886 | + | 0.145075i | ||||
\(658\) | −10.5652 | + | 0.389268i | −0.411875 | + | 0.0151752i | ||||
\(659\) | −2.78570 | + | 7.96108i | −0.108516 | + | 0.310120i | −0.985317 | − | 0.170732i | \(-0.945387\pi\) |
0.876802 | + | 0.480852i | \(0.159672\pi\) | |||||||
\(660\) | 21.0160 | + | 14.3637i | 0.818046 | + | 0.559107i | ||||
\(661\) | −8.05047 | + | 10.0950i | −0.313127 | + | 0.392649i | −0.913344 | − | 0.407188i | \(-0.866509\pi\) |
0.600217 | + | 0.799837i | \(0.295081\pi\) | |||||||
\(662\) | −18.8588 | + | 5.04165i | −0.732970 | + | 0.195949i | ||||
\(663\) | 0.675805 | + | 0.154248i | 0.0262461 | + | 0.00599050i | ||||
\(664\) | −33.2071 | − | 7.63931i | −1.28869 | − | 0.296463i | ||||
\(665\) | 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 | ||||
\(670\) | 18.1486 | + | 26.6519i | 0.701142 | + | 1.02965i | ||||
\(671\) | −3.74585 | + | 16.4117i | −0.144607 | + | 0.633565i | ||||
\(672\) | 1.26711 | + | 6.80334i | 0.0488797 | + | 0.262445i | ||||
\(673\) | −16.9507 | − | 13.5177i | −0.653400 | − | 0.521069i | 0.239746 | − | 0.970836i | \(-0.422936\pi\) |
−0.893146 | + | 0.449766i | \(0.851507\pi\) | |||||||
\(674\) | −5.94776 | + | 31.3365i | −0.229099 | + | 1.20704i | ||||
\(675\) | 3.61494 | + | 1.26492i | 0.139139 | + | 0.0486868i | ||||
\(676\) | 9.45013 | − | 23.9977i | 0.363467 | − | 0.922990i | ||||
\(677\) | 13.9505 | + | 22.2021i | 0.536162 | + | 0.853297i | 0.999458 | − | 0.0329067i | \(-0.0104764\pi\) |
−0.463297 | + | 0.886203i | \(0.653334\pi\) | |||||||
\(678\) | −6.17566 | − | 0.466356i | −0.237175 | − | 0.0179103i | ||||
\(679\) | −7.08513 | − | 7.08513i | −0.271902 | − | 0.271902i | ||||
\(680\) | −9.48745 | − | 1.08548i | −0.363827 | − | 0.0416262i | ||||
\(681\) | 0.295015 | − | 0.0332402i | 0.0113050 | − | 0.00127377i | ||||
\(682\) | −5.59348 | + | 18.0968i | −0.214185 | + | 0.692963i | ||||
\(683\) | 9.86243 | − | 20.4795i | 0.377375 | − | 0.783628i | −0.622624 | − | 0.782521i | \(-0.713933\pi\) |
0.999999 | − | 0.00110699i | \(-0.000352367\pi\) | |||||||
\(684\) | −2.52385 | − | 0.0973287i | −0.0965017 | − | 0.00372146i | ||||
\(685\) | 6.62232 | − | 2.31725i | 0.253026 | − | 0.0885375i | ||||
\(686\) | −2.26258 | − | 15.0697i | −0.0863855 | − | 0.575365i | ||||
\(687\) | −5.74431 | − | 11.9282i | −0.219159 | − | 0.455089i | ||||
\(688\) | −25.6278 | − | 11.2512i | −0.977052 | − | 0.428949i | ||||
\(689\) | 3.78133 | − | 0.863064i | 0.144057 | − | 0.0328801i | ||||
\(690\) | −36.7096 | + | 19.3747i | −1.39751 | + | 0.737584i | ||||
\(691\) | 10.9428 | − | 8.72658i | 0.416283 | − | 0.331975i | −0.392847 | − | 0.919604i | \(-0.628510\pi\) |
0.809131 | + | 0.587629i | \(0.199938\pi\) | |||||||
\(692\) | −42.8558 | + | 24.6774i | −1.62913 | + | 0.938095i | ||||
\(693\) | −1.69373 | − | 1.06424i | −0.0643393 | − | 0.0404271i | ||||
\(694\) | 1.11093 | − | 1.92165i | 0.0421704 | − | 0.0729448i | ||||
\(695\) | −16.6452 | −0.631388 | ||||||||
\(696\) | −23.0828 | + | 0.108366i | −0.874951 | + | 0.00410760i | ||||
\(697\) | −0.357845 | −0.0135543 | ||||||||
\(698\) | 0.221135 | − | 0.382512i | 0.00837010 | − | 0.0144783i | ||||
\(699\) | 29.5557 | + | 18.5711i | 1.11790 | + | 0.702423i | ||||
\(700\) | −0.954752 | + | 0.549770i | −0.0360862 | + | 0.0207794i | ||||
\(701\) | 3.73815 | − | 2.98108i | 0.141188 | − | 0.112594i | −0.550349 | − | 0.834935i | \(-0.685505\pi\) |
0.691537 | + | 0.722341i | \(0.256934\pi\) | |||||||
\(702\) | −2.26691 | + | 1.19644i | −0.0855589 | + | 0.0451566i | ||||
\(703\) | −18.6905 | + | 4.26598i | −0.704925 | + | 0.160894i | ||||
\(704\) | 26.6358 | − | 9.21772i | 1.00387 | − | 0.347406i | ||||
\(705\) | −14.5159 | − | 30.1426i | −0.546700 | − | 1.13523i | ||||
\(706\) | 2.49157 | + | 16.5950i | 0.0937716 | + | 0.624559i | ||||
\(707\) | 3.84069 | − | 1.34392i | 0.144444 | − | 0.0505432i | ||||
\(708\) | 42.6463 | + | 1.64460i | 1.60275 | + | 0.0618077i | ||||
\(709\) | −9.78617 | + | 20.3212i | −0.367527 | + | 0.763178i | −0.999934 | − | 0.0114580i | \(-0.996353\pi\) |
0.632407 | + | 0.774636i | \(0.282067\pi\) | |||||||
\(710\) | −0.618666 | + | 2.00160i | −0.0232181 | + | 0.0751187i | ||||
\(711\) | 2.40017 | − | 0.270434i | 0.0900133 | − | 0.0101421i | ||||
\(712\) | 0.348190 | − | 3.04330i | 0.0130490 | − | 0.114053i | ||||
\(713\) | −21.8402 | − | 21.8402i | −0.817922 | − | 0.817922i | ||||
\(714\) | −2.44340 | − | 0.184514i | −0.0914420 | − | 0.00690526i | ||||
\(715\) | −1.44304 | − | 2.29659i | −0.0539667 | − | 0.0858876i | ||||
\(716\) | 7.96119 | − | 20.2167i | 0.297524 | − | 0.755534i | ||||
\(717\) | −14.6788 | − | 5.13632i | −0.548189 | − | 0.191820i | ||||
\(718\) | −7.20932 | + | 37.9832i | −0.269050 | + | 1.41752i | ||||
\(719\) | 1.53980 | + | 1.22795i | 0.0574249 | + | 0.0457949i | 0.651782 | − | 0.758407i | \(-0.274022\pi\) |
−0.594357 | + | 0.804202i | \(0.702593\pi\) | |||||||
\(720\) | 5.54968 | − | 3.76513i | 0.206824 | − | 0.140318i | ||||
\(721\) | −1.95217 | + | 8.55302i | −0.0727026 | + | 0.318531i | ||||
\(722\) | 12.5575 | + | 18.4411i | 0.467342 | + | 0.686308i | ||||
\(723\) | −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 | −0.678755 | − | 0.734365i | \(-0.737480\pi\) |
−0.825149 | + | 0.564916i | \(0.808909\pi\) | |||||||
\(728\) | 0.165314 | − | 0.718599i | 0.00612695 | − | 0.0266330i | ||||
\(729\) | −29.2615 | − | 6.67875i | −1.08376 | − | 0.247361i | ||||
\(730\) | 32.3645 | − | 8.65218i | 1.19786 | − | 0.320232i | ||||
\(731\) | 6.17899 | − | 7.74820i | 0.228538 | − | 0.286578i | ||||
\(732\) | −11.9560 | − | 8.17155i | −0.441908 | − | 0.302029i | ||||
\(733\) | −11.8514 | + | 33.8694i | −0.437742 | + | 1.25100i | 0.488001 | + | 0.872843i | \(0.337726\pi\) |
−0.925743 | + | 0.378153i | \(0.876559\pi\) | |||||||
\(734\) | 4.83795 | − | 0.178251i | 0.178572 | − | 0.00657935i | ||||
\(735\) | 19.4186 | − | 12.2015i | 0.716267 | − | 0.450061i | ||||
\(736\) | −6.98008 | + | 45.4274i | −0.257289 | + | 1.67447i | ||||
\(737\) | 23.8284 | − | 23.8284i | 0.877731 | − | 0.877731i | ||||
\(738\) | 0.190578 | − | 0.163816i | 0.00701529 | − | 0.00603016i | ||||
\(739\) | 4.52551 | + | 40.1650i | 0.166474 | + | 1.47749i | 0.747855 | + | 0.663862i | \(0.231084\pi\) |
−0.581381 | + | 0.813631i | \(0.697488\pi\) | |||||||
\(740\) | 33.2479 | − | 38.5454i | 1.22222 | − | 1.41696i | ||||
\(741\) | −0.791756 | − | 0.381290i | −0.0290859 | − | 0.0140070i | ||||
\(742\) | −12.7656 | + | 5.00170i | −0.468640 | + | 0.183618i | ||||
\(743\) | −5.74850 | − | 16.4283i | −0.210892 | − | 0.602695i | 0.789040 | − | 0.614342i | \(-0.210578\pi\) |
−0.999932 | + | 0.0116466i | \(0.996293\pi\) | |||||||
\(744\) | −12.7225 | − | 10.1817i | −0.466431 | − | 0.373278i | ||||
\(745\) | 29.8379 | − | 14.3692i | 1.09317 | − | 0.526445i | ||||
\(746\) | −9.97271 | − | 9.26395i | −0.365127 | − | 0.339177i | ||||
\(747\) | 1.88545 | + | 8.26070i | 0.0689851 | + | 0.302243i | ||||
\(748\) | 0.734415 | + | 9.95295i | 0.0268529 | + | 0.363916i | ||||
\(749\) | 8.04349 | + | 10.0862i | 0.293903 | + | 0.368542i | ||||
\(750\) | 17.7406 | + | 13.1088i | 0.647794 | + | 0.478667i | ||||
\(751\) | 14.2990 | − | 22.7568i | 0.521779 | − | 0.830406i | −0.477046 | − | 0.878878i | \(-0.658292\pi\) |
0.998825 | + | 0.0484725i | \(0.0154353\pi\) | |||||||
\(752\) | −36.3821 | − | 6.97017i | −1.32672 | − | 0.254176i | ||||
\(753\) | 36.0101i | 1.31228i | ||||||||
\(754\) | 2.26001 | + | 0.970364i | 0.0823048 | + | 0.0353386i | ||||
\(755\) | 3.19095i | 0.116131i | ||||||||
\(756\) | 7.29659 | − | 5.37224i | 0.265374 | − | 0.195386i | ||||
\(757\) | 1.85965 | − | 2.95962i | 0.0675901 | − | 0.107569i | −0.811219 | − | 0.584742i | \(-0.801196\pi\) |
0.878809 | + | 0.477173i | \(0.158339\pi\) | |||||||
\(758\) | 18.0042 | − | 24.3656i | 0.653941 | − | 0.884998i | ||||
\(759\) | 27.0475 | + | 33.9164i | 0.981760 | + | 1.23109i | ||||
\(760\) | 11.4199 | + | 4.01803i | 0.414244 | + | 0.145749i | ||||
\(761\) | −7.63857 | − | 33.4668i | −0.276898 | − | 1.21317i | −0.901692 | − | 0.432379i | \(-0.857674\pi\) |
0.624794 | − | 0.780790i | \(-0.285183\pi\) | |||||||
\(762\) | −2.17255 | + | 2.33876i | −0.0787031 | + | 0.0847245i | ||||
\(763\) | 5.33822 | − | 2.57075i | 0.193257 | − | 0.0930675i | ||||
\(764\) | 26.2916 | + | 7.07707i | 0.951195 | + | 0.256039i | ||||
\(765\) | 0.784278 | + | 2.24134i | 0.0283556 | + | 0.0810357i | ||||
\(766\) | −11.8350 | − | 30.2058i | −0.427615 | − | 1.09138i | ||||
\(767\) | −4.09705 | − | 1.97304i | −0.147936 | − | 0.0712423i | ||||
\(768\) | −1.01758 | + | 24.2263i | −0.0367187 | + | 0.874190i | ||||
\(769\) | −4.27040 | − | 37.9009i | −0.153995 | − | 1.36674i | −0.798433 | − | 0.602084i | \(-0.794337\pi\) |
0.644438 | − | 0.764657i | \(-0.277091\pi\) | |||||||
\(770\) | 6.24989 | + | 7.27091i | 0.225230 | + | 0.262025i | ||||
\(771\) | −20.6597 | + | 20.6597i | −0.744042 | + | 0.744042i | ||||
\(772\) | 6.51214 | + | 3.45131i | 0.234377 | + | 0.124215i | ||||
\(773\) | 14.7935 | − | 9.29536i | 0.532085 | − | 0.334331i | −0.239046 | − | 0.971008i | \(-0.576835\pi\) |
0.771130 | + | 0.636677i | \(0.219692\pi\) | |||||||
\(774\) | 0.256257 | + | 6.95514i | 0.00921096 | + | 0.249997i | ||||
\(775\) | 0.856808 | − | 2.44862i | 0.0307775 | − | 0.0879569i | ||||
\(776\) | −18.6275 | − | 29.7587i | −0.668687 | − | 1.06828i | ||||
\(777\) | 8.14392 | − | 10.2122i | 0.292162 | − | 0.366359i | ||||
\(778\) | −5.29938 | − | 19.8229i | −0.189992 | − | 0.710687i | ||||
\(779\) | 0.442283 | + | 0.100948i | 0.0158464 | + | 0.00361684i | ||||
\(780\) | 2.29318 | − | 0.431175i | 0.0821090 | − | 0.0154385i | ||||
\(781\) | 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 | ||||
\(786\) | −8.38437 | + | 5.70934i | −0.299061 | + | 0.203646i | ||||
\(787\) | −8.51971 | + | 37.3273i | −0.303695 | + | 1.33057i | 0.560808 | + | 0.827946i | \(0.310491\pi\) |
−0.864503 | + | 0.502628i | \(0.832366\pi\) | |||||||
\(788\) | 0.431896 | + | 0.0656035i | 0.0153857 | + | 0.00233703i | ||||
\(789\) | 15.5966 | + | 12.4379i | 0.555253 | + | 0.442800i | ||||
\(790\) | −11.3741 | − | 2.15884i | −0.404672 | − | 0.0768079i | ||||
\(791\) | −2.20179 | − | 0.770438i | −0.0782865 | − | 0.0273936i | ||||
\(792\) | −4.94745 | − | 4.96447i | −0.175800 | − | 0.176405i | ||||
\(793\) | 0.820950 | + | 1.30653i | 0.0291528 | + | 0.0463964i | ||||
\(794\) | −0.268820 | + | 3.55982i | −0.00954007 | + | 0.126333i | ||||
\(795\) | −30.6786 | − | 30.6786i | −1.08806 | − | 1.08806i | ||||
\(796\) | −3.44578 | − | 11.2165i | −0.122132 | − | 0.397559i | ||||
\(797\) | −2.76050 | + | 0.311034i | −0.0977821 | + | 0.0110174i | −0.160720 | − | 0.987000i | \(-0.551382\pi\) |
0.0629378 | + | 0.998017i | \(0.479953\pi\) | |||||||
\(798\) | 2.96790 | + | 0.917337i | 0.105063 | + | 0.0324734i | ||||
\(799\) | 5.69104 | − | 11.8176i | 0.201334 | − | 0.418075i | ||||
\(800\) | −3.69199 | + | 1.12727i | −0.130532 | + | 0.0398550i | ||||
\(801\) | −0.718956 | + | 0.251574i | −0.0254031 | + | 0.00888892i | ||||
\(802\) | −1.23195 | + | 0.184965i | −0.0435016 | + | 0.00653135i | ||||
\(803\) | −15.1911 | − | 31.5446i | −0.536082 | − | 1.11319i | ||||
\(804\) | 11.5625 | + | 26.5846i | 0.407779 | + | 0.937566i | ||||
\(805\) | −15.2423 | + | 3.47896i | −0.537221 | + | 0.122617i | ||||
\(806\) | 0.810420 | + | 1.53552i | 0.0285458 | + | 0.0540862i | ||||
\(807\) | 1.05954 | − | 0.844955i | 0.0372976 | − | 0.0297438i | ||||
\(808\) | 14.1703 | − | 1.57197i | 0.498508 | − | 0.0553017i | ||||
\(809\) | −10.8030 | − | 6.78797i | −0.379813 | − | 0.238652i | 0.328571 | − | 0.944479i | \(-0.393433\pi\) |
−0.708384 | + | 0.705827i | \(0.750576\pi\) | |||||||
\(810\) | 18.6651 | + | 10.7906i | 0.655826 | + | 0.379142i | ||||
\(811\) | 20.8050 | 0.730561 | 0.365281 | − | 0.930897i | \(-0.380973\pi\) | ||||
0.365281 | + | 0.930897i | \(0.380973\pi\) | |||||||
\(812\) | −8.40973 | − | 2.20597i | −0.295124 | − | 0.0774145i | ||||
\(813\) | 38.3701 | 1.34570 | ||||||||
\(814\) | −46.0567 | − | 26.6260i | −1.61429 | − | 0.933240i | ||||
\(815\) | −23.1659 | − | 14.5561i | −0.811466 | − | 0.509878i | ||||
\(816\) | −8.19837 | − | 2.54943i | −0.287000 | − | 0.0892480i | ||||
\(817\) | −9.82277 | + | 7.83340i | −0.343655 | + | 0.274056i | ||||
\(818\) | −22.4477 | − | 42.5320i | −0.784866 | − | 1.48710i | ||||
\(819\) | −0.178761 | + | 0.0408010i | −0.00624641 | + | 0.00142570i | ||||
\(820\) | −1.10460 | + | 0.480429i | −0.0385744 | + | 0.0167773i | ||||
\(821\) | 12.2344 | + | 25.4050i | 0.426984 | + | 0.886642i | 0.997846 | + | 0.0655959i | \(0.0208948\pi\) |
−0.570862 | + | 0.821046i | \(0.693391\pi\) | |||||||
\(822\) | 6.23806 | − | 0.936585i | 0.217577 | − | 0.0326671i | ||||
\(823\) | −43.0644 | + | 15.0689i | −1.50113 | + | 0.525268i | −0.950834 | − | 0.309702i | \(-0.899771\pi\) |
−0.550296 | + | 0.834970i | \(0.685485\pi\) | |||||||
\(824\) | −13.3847 | + | 27.6719i | −0.466277 | + | 0.963996i | ||||
\(825\) | −1.58089 | + | 3.28275i | −0.0550395 | + | 0.114291i | ||||
\(826\) | 15.3578 | + | 4.74689i | 0.534367 | + | 0.165165i | ||||
\(827\) | −1.58760 | + | 0.178880i | −0.0552064 | + | 0.00622027i | −0.139524 | − | 0.990219i | \(-0.544557\pi\) |
0.0843181 | + | 0.996439i | \(0.473129\pi\) | |||||||
\(828\) | 10.9249 | − | 3.35619i | 0.379666 | − | 0.116636i | ||||
\(829\) | −7.78152 | − | 7.78152i | −0.270263 | − | 0.270263i | 0.558943 | − | 0.829206i | \(-0.311207\pi\) |
−0.829206 | + | 0.558943i | \(0.811207\pi\) | |||||||
\(830\) | 3.05819 | − | 40.4977i | 0.106151 | − | 1.40570i | ||||
\(831\) | 11.8487 | + | 18.8571i | 0.411026 | + | 0.654144i | ||||
\(832\) | 1.12897 | − | 2.32389i | 0.0391401 | − | 0.0805664i | ||||
\(833\) | 8.48678 | + | 2.96965i | 0.294049 | + | 0.102892i | ||||
\(834\) | −14.7029 | − | 2.79065i | −0.509118 | − | 0.0966322i | ||||
\(835\) | −25.3815 | − | 20.2411i | −0.878365 | − | 0.700472i | ||||
\(836\) | 1.90002 | − | 12.5087i | 0.0657136 | − | 0.432621i | ||||
\(837\) | −4.74761 | + | 20.8006i | −0.164101 | + | 0.718975i | ||||
\(838\) | 5.74134 | − | 3.90957i | 0.198331 | − | 0.135054i | ||||
\(839\) | −0.392058 | + | 3.47961i | −0.0135353 | + | 0.120130i | −0.998663 | − | 0.0516950i | \(-0.983538\pi\) |
0.985128 | + | 0.171825i | \(0.0549662\pi\) | |||||||
\(840\) | −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 | ||||
\(844\) | 1.92866 | + | 10.2574i | 0.0663871 | + | 0.353076i | ||||
\(845\) | 29.9698 | + | 6.84041i | 1.03099 | + | 0.235317i | ||||
\(846\) | 2.37902 | + | 8.89899i | 0.0817924 | + | 0.305954i | ||||
\(847\) | 0.711169 | − | 0.891777i | 0.0244360 | − | 0.0306418i | ||||
\(848\) | −47.5188 | + | 7.05109i | −1.63180 | + | 0.242136i | ||||
\(849\) | −1.80990 | + | 5.17240i | −0.0621157 | + | 0.177516i | ||||
\(850\) | −0.0503261 | − | 1.36591i | −0.00172617 | − | 0.0468505i | ||||
\(851\) | 73.4520 | − | 46.1530i | 2.51790 | − | 1.58210i | ||||
\(852\) | −0.882052 | + | 1.66431i | −0.0302186 | + | 0.0570183i | ||||
\(853\) | −23.0595 | + | 23.0595i | −0.789543 | + | 0.789543i | −0.981419 | − | 0.191876i | \(-0.938543\pi\) |
0.191876 | + | 0.981419i | \(0.438543\pi\) | |||||||
\(854\) | −3.55557 | − | 4.13644i | −0.121669 | − | 0.141546i | ||||
\(855\) | −0.337056 | − | 2.99145i | −0.0115271 | − | 0.102306i | ||||
\(856\) | 19.5424 | + | 40.7592i | 0.667947 | + | 1.39312i | ||||
\(857\) | 24.5428 | + | 11.8192i | 0.838365 | + | 0.403735i | 0.803246 | − | 0.595648i | \(-0.203105\pi\) |
0.0351191 | + | 0.999383i | \(0.488819\pi\) | |||||||
\(858\) | −0.889619 | − | 2.27053i | −0.0303711 | − | 0.0775147i | ||||
\(859\) | 9.23492 | + | 26.3919i | 0.315091 | + | 0.900479i | 0.987124 | + | 0.159958i | \(0.0511358\pi\) |
−0.672032 | + | 0.740522i | \(0.734578\pi\) | |||||||
\(860\) | 8.67099 | − | 32.2130i | 0.295678 | − | 1.09845i | ||||
\(861\) | −0.278480 | + | 0.134109i | −0.00949056 | + | 0.00457041i | ||||
\(862\) | 20.5678 | − | 22.1414i | 0.700541 | − | 0.754137i | ||||
\(863\) | −3.15898 | − | 13.8404i | −0.107533 | − | 0.471132i | −0.999807 | − | 0.0196384i | \(-0.993748\pi\) |
0.892274 | − | 0.451494i | \(-0.149109\pi\) | |||||||
\(864\) | 29.1353 | − | 12.6125i | 0.991201 | − | 0.429085i | ||||
\(865\) | −36.7500 | − | 46.0831i | −1.24954 | − | 1.56687i | ||||
\(866\) | 20.7071 | − | 28.0236i | 0.703657 | − | 0.952280i | ||||
\(867\) | −12.0894 | + | 19.2402i | −0.410578 | + | 0.653431i | ||||
\(868\) | −3.63895 | − | 4.94243i | −0.123514 | − | 0.167757i | ||||
\(869\) | 12.0993i | 0.410439i | ||||||||
\(870\) | −4.25930 | − | 27.1807i | −0.144404 | − | 0.921513i | ||||
\(871\) | − | 3.08894i | − | 0.104665i | ||||||
\(872\) | 20.2475 | − | 4.58480i | 0.685666 | − | 0.155261i | ||||
\(873\) | −4.64470 | + | 7.39200i | −0.157199 | + | 0.250181i | ||||
\(874\) | 16.5926 | + | 12.2606i | 0.561254 | + | 0.414721i | ||||
\(875\) | 5.18013 | + | 6.49567i | 0.175120 | + | 0.219594i | ||||
\(876\) | 30.0384 | − | 2.21650i | 1.01490 | − | 0.0748885i | ||||
\(877\) | 8.08891 | + | 35.4398i | 0.273143 | + | 1.19672i | 0.906280 | + | 0.422678i | \(0.138910\pi\) |
−0.633137 | + | 0.774040i | \(0.718233\pi\) | |||||||
\(878\) | 24.9513 | + | 23.1780i | 0.842064 | + | 0.782219i | ||||
\(879\) | −25.5472 | + | 12.3029i | −0.861686 | + | 0.414966i | ||||
\(880\) | 15.6295 | + | 29.7370i | 0.526870 | + | 1.00243i | ||||
\(881\) | 11.1758 | + | 31.9387i | 0.376523 | + | 1.07604i | 0.963793 | + | 0.266650i | \(0.0859169\pi\) |
−0.587270 | + | 0.809391i | \(0.699797\pi\) | |||||||
\(882\) | −5.87929 | + | 2.30357i | −0.197966 | + | 0.0775652i | ||||
\(883\) | −32.1718 | − | 15.4931i | −1.08267 | − | 0.521386i | −0.194500 | − | 0.980903i | \(-0.562308\pi\) |
−0.888169 | + | 0.459517i | \(0.848023\pi\) | |||||||
\(884\) | 0.692715 | + | 0.597511i | 0.0232985 | + | 0.0200965i | ||||
\(885\) | 5.69535 | + | 50.5476i | 0.191447 | + | 1.69914i | ||||
\(886\) | −34.5180 | + | 29.6708i | −1.15965 | + | 0.996809i | ||||
\(887\) | 19.8549 | − | 19.8549i | 0.666661 | − | 0.666661i | −0.290280 | − | 0.956942i | \(-0.593749\pi\) |
0.956942 | + | 0.290280i | \(0.0937485\pi\) | |||||||
\(888\) | 35.8305 | − | 28.4734i | 1.20239 | − | 0.955504i | ||||
\(889\) | −1.01804 | + | 0.639674i | −0.0341438 | + | 0.0214540i | ||||
\(890\) | 3.64847 | − | 0.134425i | 0.122297 | − | 0.00450594i | ||||
\(891\) | 7.44187 | − | 21.2677i | 0.249312 | − | 0.712493i | ||||
\(892\) | 18.4772 | − | 27.0346i | 0.618664 | − | 0.905185i | ||||
\(893\) | −10.3676 | + | 13.0006i | −0.346940 | + | 0.435049i | ||||
\(894\) | 28.7651 | − | 7.68995i | 0.962050 | − | 0.257191i | ||||
\(895\) | 25.2478 | + | 5.76265i | 0.843941 | + | 0.192624i | ||||
\(896\) | −2.72691 | + | 8.71628i | −0.0910995 | + | 0.291190i | ||||
\(897\) | 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 | ||||
\(902\) | 0.708558 | + | 1.04054i | 0.0235924 | + | 0.0346463i | ||||
\(903\) | 1.90479 | − | 8.34545i | 0.0633876 | − | 0.277719i | ||||
\(904\) | −6.91308 | − | 4.36035i | −0.229926 | − | 0.145023i | ||||
\(905\) | 3.23233 | + | 2.57770i | 0.107446 | + | 0.0856856i | ||||
\(906\) | −0.534979 | + | 2.81860i | −0.0177735 | + | 0.0936416i | ||||
\(907\) | 32.0781 | + | 11.2246i | 1.06514 | + | 0.372707i | 0.805252 | − | 0.592933i | \(-0.202030\pi\) |
0.259884 | + | 0.965640i | \(0.416316\pi\) | |||||||
\(908\) | 0.364552 | + | 0.143558i | 0.0120981 | + | 0.00476414i | ||||
\(909\) | −1.88619 | − | 3.00186i | −0.0625611 | − | 0.0995655i | ||||
\(910\) | 0.876367 | + | 0.0661790i | 0.0290513 | + | 0.00219381i | ||||
\(911\) | 11.1113 | + | 11.1113i | 0.368133 | + | 0.368133i | 0.866796 | − | 0.498663i | \(-0.166175\pi\) |
−0.498663 | + | 0.866796i | \(0.666175\pi\) | |||||||
\(912\) | 9.41369 | + | 5.46377i | 0.311718 | + | 0.180923i | ||||
\(913\) | −42.1777 | + | 4.75229i | −1.39588 | + | 0.157278i | ||||
\(914\) | −5.22244 | + | 16.8964i | −0.172743 | + | 0.558883i | ||||
\(915\) | 7.48911 | − | 15.5513i | 0.247582 | − | 0.514110i | ||||
\(916\) | 0.673288 | − | 17.4591i | 0.0222461 | − | 0.576866i | ||||
\(917\) | −3.60622 | + | 1.26187i | −0.119088 | + | 0.0416707i | ||||
\(918\) | 1.66908 | + | 11.1168i | 0.0550878 | + | 0.366908i | ||||
\(919\) | 6.83287 | + | 14.1886i | 0.225396 | + | 0.468039i | 0.982744 | − | 0.184973i | \(-0.0592196\pi\) |
−0.757348 | + | 0.653011i | \(0.773505\pi\) | |||||||
\(920\) | −54.7797 | − | 0.0940540i | −1.80603 | − | 0.00310087i | ||||
\(921\) | −49.8192 | + | 11.3709i | −1.64160 | + | 0.374684i | ||||
\(922\) | 44.8548 | − | 23.6736i | 1.47721 | − | 0.779648i | ||||
\(923\) | 0.156913 | − | 0.125134i | 0.00516486 | − | 0.00411884i | ||||
\(924\) | 4.30158 | + | 7.47029i | 0.141512 | + | 0.245755i | ||||
\(925\) | 6.16928 | + | 3.87642i | 0.202845 | + | 0.127456i | ||||
\(926\) | −18.7612 | + | 32.4525i | −0.616531 | + | 1.06645i | ||||
\(927\) | 7.64371 | 0.251052 | ||||||||
\(928\) | −26.9833 | − | 14.1387i | −0.885769 | − | 0.464127i | ||||
\(929\) | −16.8637 | −0.553280 | −0.276640 | − | 0.960974i | \(-0.589221\pi\) | ||||
−0.276640 | + | 0.960974i | \(0.589221\pi\) | |||||||
\(930\) | 9.72059 | − | 16.8143i | 0.318751 | − | 0.551363i | ||||
\(931\) | −9.65160 | − | 6.06450i | −0.316318 | − | 0.198756i | ||||
\(932\) | 22.9873 | + | 39.9206i | 0.752974 | + | 1.30764i | ||||
\(933\) | 4.61614 | − | 3.68125i | 0.151126 | − | 0.120519i | ||||
\(934\) | 49.5641 | − | 26.1591i | 1.62179 | − | 0.855952i | ||||
\(935\) | −11.5968 | + | 2.64690i | −0.379257 | + | 0.0865629i | ||||
\(936\) | −0.642453 | − | 0.00110306i | −0.0209992 | − | 3.60546e-5i | ||||
\(937\) | −19.4397 | − | 40.3669i | −0.635067 | − | 1.31873i | −0.931523 | − | 0.363683i | \(-0.881519\pi\) |
0.296456 | − | 0.955046i | \(-0.404195\pi\) | |||||||
\(938\) | 1.62124 | + | 10.7981i | 0.0529353 | + | 0.352572i | ||||
\(939\) | −16.9245 | + | 5.92214i | −0.552310 | + | 0.193262i | ||||
\(940\) | 1.70140 | − | 44.1193i | 0.0554936 | − | 1.43901i | ||||
\(941\) | −15.5738 | + | 32.3393i | −0.507691 | + | 1.05423i | 0.476836 | + | 0.878992i | \(0.341784\pi\) |
−0.984526 | + | 0.175238i | \(0.943931\pi\) | |||||||
\(942\) | −7.97528 | + | 25.8028i | −0.259849 | + | 0.840700i | ||||
\(943\) | −2.03987 | + | 0.229838i | −0.0664272 | + | 0.00748455i | ||||
\(944\) | 48.7125 | + | 28.2730i | 1.58546 | + | 0.920209i | ||||
\(945\) | 7.63652 | + | 7.63652i | 0.248416 | + | 0.248416i | ||||
\(946\) | −34.7651 | − | 2.62529i | −1.13031 | − | 0.0853557i | ||||
\(947\) | 8.26993 | + | 13.1615i | 0.268736 | + | 0.427692i | 0.953643 | − | 0.300939i | \(-0.0973000\pi\) |
−0.684907 | + | 0.728631i | \(0.740157\pi\) | |||||||
\(948\) | −9.68490 | − | 3.81384i | −0.314551 | − | 0.123868i | ||||
\(949\) | −3.02923 | − | 1.05997i | −0.0983330 | − | 0.0344082i | ||||
\(950\) | −0.323124 | + | 1.70242i | −0.0104835 | + | 0.0552337i | ||||
\(951\) | 11.5661 | + | 9.22363i | 0.375055 | + | 0.299097i | ||||
\(952\) | −2.73516 | − | 1.72517i | −0.0886471 | − | 0.0559132i | ||||
\(953\) | −1.36849 | + | 5.99574i | −0.0443297 | + | 0.194221i | −0.992244 | − | 0.124304i | \(-0.960330\pi\) |
0.947915 | + | 0.318525i | \(0.103187\pi\) | |||||||
\(954\) | 6.72358 | + | 9.87382i | 0.217684 | + | 0.319677i | ||||
\(955\) | −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 | ||||
\(960\) | −28.7297 | + | 3.13719i | −0.927247 | + | 0.101252i | ||||
\(961\) | −16.1332 | − | 3.68230i | −0.520427 | − | 0.118784i | ||||
\(962\) | −4.71102 | + | 1.25942i | −0.151889 | + | 0.0406054i | ||||
\(963\) | 7.00812 | − | 8.78791i | 0.225834 | − | 0.283186i | ||||
\(964\) | −4.28808 | + | 6.27401i | −0.138110 | + | 0.202072i | ||||
\(965\) | −2.90132 | + | 8.29148i | −0.0933966 | + | 0.266912i | ||||
\(966\) | −14.0469 | + | 0.517549i | −0.451953 | + | 0.0166519i | ||||
\(967\) | 21.5900 | − | 13.5659i | 0.694287 | − | 0.436249i | −0.138119 | − | 0.990416i | \(-0.544106\pi\) |
0.832406 | + | 0.554166i | \(0.186963\pi\) | |||||||
\(968\) | 3.12890 | − | 2.48644i | 0.100567 | − | 0.0799172i | ||||
\(969\) | −2.72516 | + | 2.72516i | −0.0875448 | + | 0.0875448i | ||||
\(970\) | 31.7327 | − | 27.2766i | 1.01888 | − | 0.875800i | ||||
\(971\) | 6.32627 | + | 56.1472i | 0.203020 | + | 1.80185i | 0.520793 | + | 0.853683i | \(0.325636\pi\) |
−0.317773 | + | 0.948167i | \(0.602935\pi\) | |||||||
\(972\) | −10.8207 | − | 9.33353i | −0.347074 | − | 0.299373i | ||||
\(973\) | −5.07850 | − | 2.44568i | −0.162809 | − | 0.0784048i | ||||
\(974\) | −27.3987 | + | 10.7351i | −0.877912 | + | 0.343975i | ||||
\(975\) | 0.110308 | + | 0.315243i | 0.00353269 | + | 0.0100958i | ||||
\(976\) | −8.89164 | − | 16.9174i | −0.284614 | − | 0.541514i | ||||
\(977\) | 37.0886 | − | 17.8609i | 1.18657 | − | 0.571422i | 0.266751 | − | 0.963766i | \(-0.414050\pi\) |
0.919819 | + | 0.392344i | \(0.128336\pi\) | |||||||
\(978\) | −18.0223 | − | 16.7414i | −0.576289 | − | 0.535332i | ||||
\(979\) | −0.849050 | − | 3.71993i | −0.0271357 | − | 0.118889i | ||||
\(980\) | 30.1841 | − | 2.22725i | 0.964197 | − | 0.0711468i | ||||
\(981\) | −3.21865 | − | 4.03606i | −0.102764 | − | 0.128861i | ||||
\(982\) | −15.7492 | − | 11.6374i | −0.502577 | − | 0.371363i | ||||
\(983\) | 13.8116 | − | 21.9810i | 0.440522 | − | 0.701086i | −0.550493 | − | 0.834840i | \(-0.685560\pi\) |
0.991015 | + | 0.133754i | \(0.0427031\pi\) | |||||||
\(984\) | −1.05625 | + | 0.239176i | −0.0336721 | + | 0.00762464i | ||||
\(985\) | 0.520677i | 0.0165901i | ||||||||
\(986\) | 7.29032 | − | 7.94970i | 0.232171 | − | 0.253170i | ||||
\(987\) | − | 11.3294i | − | 0.360619i | ||||||
\(988\) | −0.687612 | − | 0.933916i | −0.0218758 | − | 0.0297118i | ||||
\(989\) | 30.2463 | − | 48.1368i | 0.961777 | − | 1.53066i | ||||
\(990\) | 4.96445 | − | 6.71854i | 0.157780 | − | 0.213529i | ||||
\(991\) | −15.2564 | − | 19.1309i | −0.484635 | − | 0.607713i | 0.478051 | − | 0.878332i | \(-0.341343\pi\) |
−0.962687 | + | 0.270618i | \(0.912772\pi\) | |||||||
\(992\) | −8.54319 | − | 19.7351i | −0.271247 | − | 0.626590i | ||||
\(993\) | −4.65489 | − | 20.3944i | −0.147719 | − | 0.647197i | ||||
\(994\) | −0.482852 | + | 0.519793i | −0.0153151 | + | 0.0164868i | ||||
\(995\) | 12.6005 | − | 6.06807i | 0.399462 | − | 0.192371i | ||||
\(996\) | 9.49097 | − | 35.2593i | 0.300733 | − | 1.11723i | ||||
\(997\) | −14.7540 | − | 42.1645i | −0.467264 | − | 1.33536i | −0.900803 | − | 0.434229i | \(-0.857021\pi\) |
0.433539 | − | 0.901135i | \(-0.357265\pi\) | |||||||
\(998\) | 9.56332 | + | 24.4080i | 0.302722 | + | 0.772622i | ||||
\(999\) | −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.27.4 | ✓ | 144 | |
4.3 | odd | 2 | inner | 116.2.l.b.27.8 | yes | 144 | |
29.14 | odd | 28 | inner | 116.2.l.b.43.8 | yes | 144 | |
116.43 | even | 28 | inner | 116.2.l.b.43.4 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
116.2.l.b.27.4 | ✓ | 144 | 1.1 | even | 1 | trivial | |
116.2.l.b.27.8 | yes | 144 | 4.3 | odd | 2 | inner | |
116.2.l.b.43.4 | yes | 144 | 116.43 | even | 28 | inner | |
116.2.l.b.43.8 | yes | 144 | 29.14 | odd | 28 | inner |