Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [95,2,Mod(4,95)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(95, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("95.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 95 = 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 95.p (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.758578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 54.7 | ||
Character | \(\chi\) | \(=\) | 95.54 |
Dual form | 95.2.p.a.44.7 |
$q$-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 \(\left(\mathbb{Z}/95\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.14717 | − | 1.36714i | 0.811171 | − | 0.966716i | −0.188712 | − | 0.982033i | \(-0.560431\pi\) |
0.999883 | + | 0.0153165i | \(0.00487559\pi\) | |||||||
\(3\) | −0.815296 | − | 2.24001i | −0.470712 | − | 1.29327i | −0.917181 | − | 0.398471i | \(-0.869541\pi\) |
0.446469 | − | 0.894799i | \(-0.352681\pi\) | |||||||
\(4\) | −0.205786 | − | 1.16707i | −0.102893 | − | 0.583536i | ||||
\(5\) | 1.67705 | + | 1.47903i | 0.749998 | + | 0.661441i | ||||
\(6\) | −3.99769 | − | 1.45504i | −1.63205 | − | 0.594018i | ||||
\(7\) | −3.67118 | + | 2.11955i | −1.38757 | + | 0.801116i | −0.993041 | − | 0.117766i | \(-0.962427\pi\) |
−0.394532 | + | 0.918882i | \(0.629093\pi\) | |||||||
\(8\) | 1.25953 | + | 0.727188i | 0.445310 | + | 0.257100i | ||||
\(9\) | −2.05480 | + | 1.72418i | −0.684932 | + | 0.574726i | ||||
\(10\) | 3.94589 | − | 0.596068i | 1.24780 | − | 0.188493i | ||||
\(11\) | 0.245445 | − | 0.425123i | 0.0740043 | − | 0.128179i | −0.826649 | − | 0.562719i | \(-0.809755\pi\) |
0.900653 | + | 0.434539i | \(0.143089\pi\) | |||||||
\(12\) | −2.44648 | + | 1.41247i | −0.706237 | + | 0.407746i | ||||
\(13\) | 1.42349 | − | 3.91099i | 0.394804 | − | 1.08471i | −0.569977 | − | 0.821661i | \(-0.693048\pi\) |
0.964781 | − | 0.263054i | \(-0.0847298\pi\) | |||||||
\(14\) | −1.31373 | + | 7.45051i | −0.351108 | + | 1.99123i | ||||
\(15\) | 1.94574 | − | 4.96244i | 0.502388 | − | 1.28130i | ||||
\(16\) | 4.66628 | − | 1.69839i | 1.16657 | − | 0.424596i | ||||
\(17\) | −1.30884 | + | 1.55982i | −0.317440 | + | 0.378311i | −0.901044 | − | 0.433728i | \(-0.857198\pi\) |
0.583603 | + | 0.812039i | \(0.301642\pi\) | |||||||
\(18\) | 4.78713i | 1.12834i | ||||||||
\(19\) | −1.86816 | + | 3.93827i | −0.428586 | + | 0.903501i | ||||
\(20\) | 1.38102 | − | 2.26160i | 0.308805 | − | 0.505709i | ||||
\(21\) | 7.74092 | + | 6.49540i | 1.68921 | + | 1.41741i | ||||
\(22\) | −0.299637 | − | 0.823245i | −0.0638828 | − | 0.175517i | ||||
\(23\) | −4.32847 | + | 0.763227i | −0.902549 | + | 0.159144i | −0.605618 | − | 0.795755i | \(-0.707074\pi\) |
−0.296931 | + | 0.954899i | \(0.595963\pi\) | |||||||
\(24\) | 0.602020 | − | 3.41422i | 0.122887 | − | 0.696925i | ||||
\(25\) | 0.624964 | + | 4.96079i | 0.124993 | + | 0.992158i | ||||
\(26\) | −3.71391 | − | 6.43268i | −0.728358 | − | 1.26155i | ||||
\(27\) | −0.655764 | − | 0.378606i | −0.126202 | − | 0.0728627i | ||||
\(28\) | 3.22915 | + | 3.84835i | 0.610252 | + | 0.727270i | ||||
\(29\) | 2.49937 | − | 2.09722i | 0.464122 | − | 0.389445i | −0.380523 | − | 0.924772i | \(-0.624256\pi\) |
0.844645 | + | 0.535327i | \(0.179812\pi\) | |||||||
\(30\) | −4.55227 | − | 8.35287i | −0.831127 | − | 1.52502i | ||||
\(31\) | −2.04416 | − | 3.54059i | −0.367143 | − | 0.635909i | 0.621975 | − | 0.783037i | \(-0.286331\pi\) |
−0.989118 | + | 0.147128i | \(0.952997\pi\) | |||||||
\(32\) | 2.03622 | − | 5.59447i | 0.359956 | − | 0.988972i | ||||
\(33\) | −1.15239 | − | 0.203197i | −0.200605 | − | 0.0353721i | ||||
\(34\) | 0.631029 | + | 3.57874i | 0.108221 | + | 0.613750i | ||||
\(35\) | −9.29160 | − | 1.87517i | −1.57057 | − | 0.316962i | ||||
\(36\) | 2.43509 | + | 2.04328i | 0.405849 | + | 0.340547i | ||||
\(37\) | 2.14440i | 0.352538i | 0.984342 | + | 0.176269i | \(0.0564028\pi\) | ||||
−0.984342 | + | 0.176269i | \(0.943597\pi\) | |||||||
\(38\) | 3.24108 | + | 7.07191i | 0.525772 | + | 1.14721i | ||||
\(39\) | −9.92123 | −1.58867 | ||||||||
\(40\) | 1.03675 | + | 3.08240i | 0.163925 | + | 0.487370i | ||||
\(41\) | −4.10271 | + | 1.49327i | −0.640736 | + | 0.233209i | −0.641897 | − | 0.766790i | \(-0.721853\pi\) |
0.00116142 | + | 0.999999i | \(0.499630\pi\) | |||||||
\(42\) | 17.7603 | − | 3.13162i | 2.74047 | − | 0.483219i | ||||
\(43\) | 10.4627 | + | 1.84485i | 1.59554 | + | 0.281337i | 0.899584 | − | 0.436748i | \(-0.143870\pi\) |
0.695956 | + | 0.718085i | \(0.254981\pi\) | |||||||
\(44\) | −0.546658 | − | 0.198967i | −0.0824118 | − | 0.0299955i | ||||
\(45\) | −5.99609 | − | 0.147571i | −0.893845 | − | 0.0219985i | ||||
\(46\) | −3.92205 | + | 6.79319i | −0.578275 | + | 1.00160i | ||||
\(47\) | −1.68502 | − | 2.00812i | −0.245785 | − | 0.292915i | 0.629021 | − | 0.777388i | \(-0.283456\pi\) |
−0.874806 | + | 0.484473i | \(0.839011\pi\) | |||||||
\(48\) | −7.60880 | − | 9.06781i | −1.09824 | − | 1.30883i | ||||
\(49\) | 5.48502 | − | 9.50033i | 0.783574 | − | 1.35719i | ||||
\(50\) | 7.49905 | + | 4.83645i | 1.06053 | + | 0.683977i | ||||
\(51\) | 4.56109 | + | 1.66010i | 0.638681 | + | 0.232461i | ||||
\(52\) | −4.85735 | − | 0.856482i | −0.673593 | − | 0.118773i | ||||
\(53\) | −11.2604 | + | 1.98551i | −1.54673 | + | 0.272730i | −0.880874 | − | 0.473350i | \(-0.843045\pi\) |
−0.665856 | + | 0.746080i | \(0.731934\pi\) | |||||||
\(54\) | −1.26988 | + | 0.462199i | −0.172809 | + | 0.0628973i | ||||
\(55\) | 1.04039 | − | 0.349931i | 0.140286 | − | 0.0471847i | ||||
\(56\) | −6.16526 | −0.823867 | ||||||||
\(57\) | 10.3449 | + | 0.973843i | 1.37021 | + | 0.128989i | ||||
\(58\) | − | 5.82287i | − | 0.764581i | ||||||
\(59\) | 0.415431 | + | 0.348588i | 0.0540845 | + | 0.0453823i | 0.669429 | − | 0.742876i | \(-0.266539\pi\) |
−0.615345 | + | 0.788258i | \(0.710983\pi\) | |||||||
\(60\) | −6.19194 | − | 1.24962i | −0.799376 | − | 0.161325i | ||||
\(61\) | −2.36895 | − | 13.4350i | −0.303313 | − | 1.72018i | −0.631339 | − | 0.775507i | \(-0.717494\pi\) |
0.328026 | − | 0.944669i | \(-0.393617\pi\) | |||||||
\(62\) | −7.18550 | − | 1.26700i | −0.912559 | − | 0.160909i | ||||
\(63\) | 3.88903 | − | 10.6850i | 0.489972 | − | 1.34619i | ||||
\(64\) | −0.346803 | − | 0.600680i | −0.0433503 | − | 0.0750850i | ||||
\(65\) | 8.17171 | − | 4.45354i | 1.01358 | − | 0.552394i | ||||
\(66\) | −1.59978 | + | 1.34238i | −0.196920 | + | 0.165235i | ||||
\(67\) | 4.60042 | + | 5.48257i | 0.562031 | + | 0.669802i | 0.969975 | − | 0.243205i | \(-0.0781986\pi\) |
−0.407944 | + | 0.913007i | \(0.633754\pi\) | |||||||
\(68\) | 2.08976 | + | 1.20652i | 0.253421 | + | 0.146312i | ||||
\(69\) | 5.23862 | + | 9.07356i | 0.630656 | + | 1.09233i | ||||
\(70\) | −13.2227 | + | 10.5518i | −1.58041 | + | 1.26118i | ||||
\(71\) | 1.04859 | − | 5.94684i | 0.124444 | − | 0.705760i | −0.857192 | − | 0.514997i | \(-0.827793\pi\) |
0.981636 | − | 0.190762i | \(-0.0610960\pi\) | |||||||
\(72\) | −3.84187 | + | 0.677426i | −0.452769 | + | 0.0798354i | ||||
\(73\) | −0.702575 | − | 1.93031i | −0.0822302 | − | 0.225925i | 0.891763 | − | 0.452503i | \(-0.149469\pi\) |
−0.973993 | + | 0.226577i | \(0.927246\pi\) | |||||||
\(74\) | 2.93170 | + | 2.45999i | 0.340804 | + | 0.285968i | ||||
\(75\) | 10.6027 | − | 5.44444i | 1.22429 | − | 0.628670i | ||||
\(76\) | 4.98069 | + | 1.36984i | 0.571324 | + | 0.157131i | ||||
\(77\) | 2.08093i | 0.237144i | ||||||||
\(78\) | −11.3813 | + | 13.5637i | −1.28868 | + | 1.53579i | ||||
\(79\) | 5.01823 | − | 1.82649i | 0.564595 | − | 0.205496i | −0.0439240 | − | 0.999035i | \(-0.513986\pi\) |
0.608519 | + | 0.793539i | \(0.291764\pi\) | |||||||
\(80\) | 10.3375 | + | 4.05327i | 1.15577 | + | 0.453170i | ||||
\(81\) | −1.71079 | + | 9.70238i | −0.190088 | + | 1.07804i | ||||
\(82\) | −2.66500 | + | 7.32202i | −0.294300 | + | 0.808582i | ||||
\(83\) | 7.02847 | − | 4.05789i | 0.771475 | − | 0.445411i | −0.0619255 | − | 0.998081i | \(-0.519724\pi\) |
0.833401 | + | 0.552669i | \(0.186391\pi\) | |||||||
\(84\) | 5.98763 | − | 10.3709i | 0.653304 | − | 1.13156i | ||||
\(85\) | −4.50199 | + | 0.680073i | −0.488310 | + | 0.0737642i | ||||
\(86\) | 14.5246 | − | 12.1876i | 1.56623 | − | 1.31422i | ||||
\(87\) | −6.73553 | − | 3.88876i | −0.722125 | − | 0.416919i | ||||
\(88\) | 0.618288 | − | 0.356969i | 0.0659097 | − | 0.0380530i | ||||
\(89\) | −4.07920 | − | 1.48471i | −0.432394 | − | 0.157379i | 0.116648 | − | 0.993173i | \(-0.462785\pi\) |
−0.549042 | + | 0.835795i | \(0.685007\pi\) | |||||||
\(90\) | −7.08028 | + | 8.02823i | −0.746327 | + | 0.846250i | ||||
\(91\) | 3.06370 | + | 17.3751i | 0.321163 | + | 1.82141i | ||||
\(92\) | 1.78148 | + | 4.89458i | 0.185732 | + | 0.510296i | ||||
\(93\) | −6.26436 | + | 7.46558i | −0.649584 | + | 0.774144i | ||||
\(94\) | −4.67839 | −0.482539 | ||||||||
\(95\) | −8.95780 | + | 3.84160i | −0.919051 | + | 0.394140i | ||||
\(96\) | −14.1918 | −1.44844 | ||||||||
\(97\) | 3.62962 | − | 4.32562i | 0.368533 | − | 0.439200i | −0.549627 | − | 0.835410i | \(-0.685230\pi\) |
0.918160 | + | 0.396210i | \(0.129675\pi\) | |||||||
\(98\) | −6.69607 | − | 18.3973i | −0.676405 | − | 1.85841i | ||||
\(99\) | 0.228649 | + | 1.29673i | 0.0229801 | + | 0.130326i | ||||
\(100\) | 5.66099 | − | 1.75024i | 0.566099 | − | 0.175024i | ||||
\(101\) | 3.10176 | + | 1.12895i | 0.308637 | + | 0.112335i | 0.491695 | − | 0.870767i | \(-0.336378\pi\) |
−0.183058 | + | 0.983102i | \(0.558600\pi\) | |||||||
\(102\) | 7.50194 | − | 4.33125i | 0.742803 | − | 0.428858i | ||||
\(103\) | 2.95805 | + | 1.70783i | 0.291466 | + | 0.168278i | 0.638603 | − | 0.769537i | \(-0.279513\pi\) |
−0.347137 | + | 0.937814i | \(0.612846\pi\) | |||||||
\(104\) | 4.63695 | − | 3.89086i | 0.454690 | − | 0.381530i | ||||
\(105\) | 3.37500 | + | 22.3421i | 0.329367 | + | 2.18037i | ||||
\(106\) | −10.2031 | + | 17.6722i | −0.991010 | + | 1.71648i | ||||
\(107\) | 1.51772 | − | 0.876258i | 0.146724 | − | 0.0847110i | −0.424841 | − | 0.905268i | \(-0.639670\pi\) |
0.571565 | + | 0.820557i | \(0.306337\pi\) | |||||||
\(108\) | −0.306913 | + | 0.843237i | −0.0295327 | + | 0.0811405i | ||||
\(109\) | 0.611108 | − | 3.46576i | 0.0585335 | − | 0.331960i | −0.941453 | − | 0.337144i | \(-0.890539\pi\) |
0.999987 | + | 0.00518405i | \(0.00165014\pi\) | |||||||
\(110\) | 0.715097 | − | 1.82379i | 0.0681818 | − | 0.173892i | ||||
\(111\) | 4.80348 | − | 1.74832i | 0.455926 | − | 0.165944i | ||||
\(112\) | −13.5309 | + | 16.1255i | −1.27855 | + | 1.52372i | ||||
\(113\) | 13.2583i | 1.24723i | 0.781731 | + | 0.623616i | \(0.214337\pi\) | ||||
−0.781731 | + | 0.623616i | \(0.785663\pi\) | |||||||
\(114\) | 13.1987 | − | 13.0257i | 1.23617 | − | 1.21997i | ||||
\(115\) | −8.38788 | − | 5.12196i | −0.782174 | − | 0.477625i | ||||
\(116\) | −2.96195 | − | 2.48537i | −0.275010 | − | 0.230761i | ||||
\(117\) | 3.81828 | + | 10.4906i | 0.353000 | + | 0.969860i | ||||
\(118\) | 0.953138 | − | 0.168064i | 0.0877435 | − | 0.0154715i | ||||
\(119\) | 1.49887 | − | 8.50051i | 0.137401 | − | 0.779241i | ||||
\(120\) | 6.05934 | − | 4.83541i | 0.553140 | − | 0.441410i | ||||
\(121\) | 5.37951 | + | 9.31759i | 0.489047 | + | 0.847054i | ||||
\(122\) | −21.0852 | − | 12.1735i | −1.90896 | − | 1.10214i | ||||
\(123\) | 6.68985 | + | 7.97266i | 0.603204 | + | 0.718870i | ||||
\(124\) | −3.71147 | + | 3.11429i | −0.333300 | + | 0.279672i | ||||
\(125\) | −6.28904 | + | 9.24381i | −0.562509 | + | 0.826791i | ||||
\(126\) | −10.1466 | − | 17.5744i | −0.903929 | − | 1.56565i | ||||
\(127\) | 6.77480 | − | 18.6136i | 0.601166 | − | 1.65169i | −0.147749 | − | 0.989025i | \(-0.547203\pi\) |
0.748915 | − | 0.662666i | \(-0.230575\pi\) | |||||||
\(128\) | 10.5071 | + | 1.85268i | 0.928702 | + | 0.163755i | ||||
\(129\) | −4.39769 | − | 24.9405i | −0.387195 | − | 2.19589i | ||||
\(130\) | 3.28571 | − | 16.2809i | 0.288175 | − | 1.42793i | ||||
\(131\) | −2.62756 | − | 2.20479i | −0.229571 | − | 0.192633i | 0.520745 | − | 0.853712i | \(-0.325654\pi\) |
−0.750316 | + | 0.661079i | \(0.770099\pi\) | |||||||
\(132\) | 1.38674i | 0.120700i | ||||||||
\(133\) | −1.48902 | − | 18.4178i | −0.129115 | − | 1.59702i | ||||
\(134\) | 12.7729 | 1.10341 | ||||||||
\(135\) | −0.539779 | − | 1.60483i | −0.0464568 | − | 0.138122i | ||||
\(136\) | −2.78280 | + | 1.01286i | −0.238623 | + | 0.0868517i | ||||
\(137\) | 0.599055 | − | 0.105629i | 0.0511807 | − | 0.00902454i | −0.147999 | − | 0.988987i | \(-0.547283\pi\) |
0.199180 | + | 0.979963i | \(0.436172\pi\) | |||||||
\(138\) | 18.4144 | + | 3.24696i | 1.56754 | + | 0.276400i | ||||
\(139\) | −7.94791 | − | 2.89280i | −0.674133 | − | 0.245364i | −0.0178066 | − | 0.999841i | \(-0.505668\pi\) |
−0.656326 | + | 0.754477i | \(0.727891\pi\) | |||||||
\(140\) | −0.276379 | + | 11.2299i | −0.0233583 | + | 0.949097i | ||||
\(141\) | −3.12443 | + | 5.41167i | −0.263124 | + | 0.455744i | ||||
\(142\) | −6.92727 | − | 8.25560i | −0.581324 | − | 0.692794i | ||||
\(143\) | −1.31327 | − | 1.56509i | −0.109821 | − | 0.130879i | ||||
\(144\) | −6.65993 | + | 11.5353i | −0.554994 | + | 0.961278i | ||||
\(145\) | 7.29341 | + | 0.179499i | 0.605685 | + | 0.0149066i | ||||
\(146\) | −3.44498 | − | 1.25387i | −0.285109 | − | 0.103771i | ||||
\(147\) | −25.7527 | − | 4.54090i | −2.12405 | − | 0.374527i | ||||
\(148\) | 2.50267 | − | 0.441289i | 0.205719 | − | 0.0362737i | ||||
\(149\) | −4.35768 | + | 1.58607i | −0.356995 | + | 0.129936i | −0.514291 | − | 0.857616i | \(-0.671945\pi\) |
0.157295 | + | 0.987552i | \(0.449723\pi\) | |||||||
\(150\) | 4.71974 | − | 20.7411i | 0.385365 | − | 1.69350i | ||||
\(151\) | 14.2109 | 1.15646 | 0.578232 | − | 0.815872i | \(-0.303743\pi\) | ||||
0.578232 | + | 0.815872i | \(0.303743\pi\) | |||||||
\(152\) | −5.21686 | + | 3.60185i | −0.423143 | + | 0.292149i | ||||
\(153\) | − | 5.46178i | − | 0.441559i | ||||||
\(154\) | 2.84493 | + | 2.38718i | 0.229251 | + | 0.192365i | ||||
\(155\) | 1.80848 | − | 8.96111i | 0.145260 | − | 0.719774i | ||||
\(156\) | 2.04165 | + | 11.5788i | 0.163463 | + | 0.927045i | ||||
\(157\) | −10.5651 | − | 1.86291i | −0.843186 | − | 0.148676i | −0.264662 | − | 0.964341i | \(-0.585260\pi\) |
−0.578525 | + | 0.815665i | \(0.696371\pi\) | |||||||
\(158\) | 3.25969 | − | 8.95593i | 0.259327 | − | 0.712496i | ||||
\(159\) | 13.6281 | + | 23.6045i | 1.08078 | + | 1.87196i | ||||
\(160\) | 11.6892 | − | 6.37056i | 0.924112 | − | 0.503637i | ||||
\(161\) | 14.2729 | − | 11.9764i | 1.12486 | − | 0.943870i | ||||
\(162\) | 11.3020 | + | 13.4692i | 0.887967 | + | 1.05824i | ||||
\(163\) | 14.6675 | + | 8.46831i | 1.14885 | + | 0.663289i | 0.948607 | − | 0.316457i | \(-0.102493\pi\) |
0.200244 | + | 0.979746i | \(0.435827\pi\) | |||||||
\(164\) | 2.58703 | + | 4.48087i | 0.202013 | + | 0.349897i | ||||
\(165\) | −1.63207 | − | 2.04518i | −0.127057 | − | 0.159217i | ||||
\(166\) | 2.51513 | − | 14.2640i | 0.195212 | − | 1.10710i | ||||
\(167\) | 16.0097 | − | 2.82295i | 1.23887 | − | 0.218446i | 0.484439 | − | 0.874825i | \(-0.339024\pi\) |
0.754432 | + | 0.656379i | \(0.227913\pi\) | |||||||
\(168\) | 5.02651 | + | 13.8102i | 0.387804 | + | 1.06548i | ||||
\(169\) | −3.31099 | − | 2.77825i | −0.254692 | − | 0.213712i | ||||
\(170\) | −4.23479 | + | 6.93503i | −0.324794 | + | 0.531892i | ||||
\(171\) | −2.95159 | − | 11.3134i | −0.225714 | − | 0.865157i | ||||
\(172\) | − | 12.5903i | − | 0.960003i | ||||||
\(173\) | −5.52227 | + | 6.58118i | −0.419850 | + | 0.500358i | −0.933966 | − | 0.357363i | \(-0.883676\pi\) |
0.514115 | + | 0.857721i | \(0.328120\pi\) | |||||||
\(174\) | −13.0433 | + | 4.74737i | −0.988809 | + | 0.359897i | ||||
\(175\) | −12.8090 | − | 16.8873i | −0.968270 | − | 1.27656i | ||||
\(176\) | 0.423290 | − | 2.40060i | 0.0319067 | − | 0.180952i | ||||
\(177\) | 0.442140 | − | 1.21477i | 0.0332333 | − | 0.0913077i | ||||
\(178\) | −6.70934 | + | 3.87364i | −0.502886 | + | 0.290342i | ||||
\(179\) | −11.7638 | + | 20.3755i | −0.879267 | + | 1.52293i | −0.0271196 | + | 0.999632i | \(0.508633\pi\) |
−0.852147 | + | 0.523302i | \(0.824700\pi\) | |||||||
\(180\) | 1.06169 | + | 7.02825i | 0.0791336 | + | 0.523855i | ||||
\(181\) | −12.7266 | + | 10.6789i | −0.945964 | + | 0.793758i | −0.978613 | − | 0.205709i | \(-0.934050\pi\) |
0.0326493 | + | 0.999467i | \(0.489606\pi\) | |||||||
\(182\) | 27.2688 | + | 15.7437i | 2.02130 | + | 1.16700i | ||||
\(183\) | −28.1631 | + | 16.2600i | −2.08188 | + | 1.20197i | ||||
\(184\) | −6.00684 | − | 2.18631i | −0.442830 | − | 0.161177i | ||||
\(185\) | −3.17163 | + | 3.59626i | −0.233183 | + | 0.264402i | ||||
\(186\) | 3.02023 | + | 17.1286i | 0.221454 | + | 1.25593i | ||||
\(187\) | 0.341865 | + | 0.939266i | 0.0249996 | + | 0.0686859i | ||||
\(188\) | −1.99687 | + | 2.37978i | −0.145637 | + | 0.173563i | ||||
\(189\) | 3.20990 | 0.233486 | ||||||||
\(190\) | −5.02410 | + | 16.6536i | −0.364486 | + | 1.20818i | ||||
\(191\) | −12.8109 | −0.926965 | −0.463482 | − | 0.886106i | \(-0.653400\pi\) | ||||
−0.463482 | + | 0.886106i | \(0.653400\pi\) | |||||||
\(192\) | −1.06278 | + | 1.26657i | −0.0766996 | + | 0.0914071i | ||||
\(193\) | −3.29702 | − | 9.05848i | −0.237324 | − | 0.652043i | −0.999986 | − | 0.00524597i | \(-0.998330\pi\) |
0.762662 | − | 0.646797i | \(-0.223892\pi\) | |||||||
\(194\) | −1.74994 | − | 9.92443i | −0.125639 | − | 0.712533i | ||||
\(195\) | −16.6383 | − | 14.6737i | −1.19150 | − | 1.05081i | ||||
\(196\) | −12.2163 | − | 4.44638i | −0.872594 | − | 0.317598i | ||||
\(197\) | −2.68677 | + | 1.55121i | −0.191424 | + | 0.110519i | −0.592649 | − | 0.805461i | \(-0.701918\pi\) |
0.401225 | + | 0.915980i | \(0.368585\pi\) | |||||||
\(198\) | 2.03512 | + | 1.17497i | 0.144629 | + | 0.0835018i | ||||
\(199\) | −0.401629 | + | 0.337007i | −0.0284708 | + | 0.0238898i | −0.656912 | − | 0.753967i | \(-0.728138\pi\) |
0.628441 | + | 0.777857i | \(0.283693\pi\) | |||||||
\(200\) | −2.82027 | + | 6.70271i | −0.199423 | + | 0.473953i | ||||
\(201\) | 8.53029 | − | 14.7749i | 0.601681 | − | 1.04214i | ||||
\(202\) | 5.10168 | − | 2.94545i | 0.358953 | − | 0.207241i | ||||
\(203\) | −4.73046 | + | 12.9968i | −0.332013 | + | 0.912199i | ||||
\(204\) | 0.998849 | − | 5.66475i | 0.0699334 | − | 0.396612i | ||||
\(205\) | −9.08901 | − | 3.56374i | −0.634804 | − | 0.248903i | ||||
\(206\) | 5.72824 | − | 2.08491i | 0.399105 | − | 0.145262i | ||||
\(207\) | 7.57819 | − | 9.03134i | 0.526721 | − | 0.627722i | ||||
\(208\) | − | 20.6674i | − | 1.43303i | ||||||
\(209\) | 1.21572 | + | 1.76083i | 0.0840929 | + | 0.121799i | ||||
\(210\) | 34.4165 | + | 21.0160i | 2.37497 | + | 1.45025i | ||||
\(211\) | −14.6037 | − | 12.2539i | −1.00536 | − | 0.843596i | −0.0176404 | − | 0.999844i | \(-0.505615\pi\) |
−0.987718 | + | 0.156249i | \(0.950060\pi\) | |||||||
\(212\) | 4.63446 | + | 12.7331i | 0.318296 | + | 0.874512i | ||||
\(213\) | −14.1759 | + | 2.49959i | −0.971315 | + | 0.171269i | ||||
\(214\) | 0.543115 | − | 3.08016i | 0.0371266 | − | 0.210555i | ||||
\(215\) | 14.8178 | + | 18.5684i | 1.01056 | + | 1.26636i | ||||
\(216\) | −0.550635 | − | 0.953728i | −0.0374660 | − | 0.0648929i | ||||
\(217\) | 15.0090 | + | 8.66543i | 1.01887 | + | 0.588248i | ||||
\(218\) | −4.03715 | − | 4.81129i | −0.273430 | − | 0.325862i | ||||
\(219\) | −3.75110 | + | 3.14755i | −0.253476 | + | 0.212692i | ||||
\(220\) | −0.622493 | − | 1.14220i | −0.0419685 | − | 0.0770070i | ||||
\(221\) | 4.23731 | + | 7.33924i | 0.285033 | + | 0.493691i | ||||
\(222\) | 3.12020 | − | 8.57267i | 0.209414 | − | 0.575360i | ||||
\(223\) | −3.11478 | − | 0.549220i | −0.208581 | − | 0.0367785i | 0.0683812 | − | 0.997659i | \(-0.478217\pi\) |
−0.276962 | + | 0.960881i | \(0.589328\pi\) | |||||||
\(224\) | 4.38246 | + | 24.8542i | 0.292815 | + | 1.66064i | ||||
\(225\) | −9.83746 | − | 9.11586i | −0.655831 | − | 0.607724i | ||||
\(226\) | 18.1259 | + | 15.2095i | 1.20572 | + | 1.01172i | ||||
\(227\) | 9.04654i | 0.600440i | 0.953870 | + | 0.300220i | \(0.0970600\pi\) | ||||
−0.953870 | + | 0.300220i | \(0.902940\pi\) | |||||||
\(228\) | −0.992287 | − | 12.2736i | −0.0657158 | − | 0.812840i | ||||
\(229\) | 17.8920 | 1.18234 | 0.591168 | − | 0.806549i | \(-0.298667\pi\) | ||||
0.591168 | + | 0.806549i | \(0.298667\pi\) | |||||||
\(230\) | −16.6248 | + | 5.59168i | −1.09620 | + | 0.368704i | ||||
\(231\) | 4.66131 | − | 1.69658i | 0.306692 | − | 0.111627i | ||||
\(232\) | 4.67310 | − | 0.823994i | 0.306804 | − | 0.0540979i | ||||
\(233\) | 6.34541 | + | 1.11887i | 0.415701 | + | 0.0732994i | 0.377587 | − | 0.925974i | \(-0.376754\pi\) |
0.0381142 | + | 0.999273i | \(0.487865\pi\) | |||||||
\(234\) | 18.7224 | + | 6.81441i | 1.22392 | + | 0.445472i | ||||
\(235\) | 0.144219 | − | 5.85990i | 0.00940778 | − | 0.382257i | ||||
\(236\) | 0.321337 | − | 0.556572i | 0.0209173 | − | 0.0362298i | ||||
\(237\) | −8.18270 | − | 9.75176i | −0.531523 | − | 0.633445i | ||||
\(238\) | −9.90196 | − | 11.8007i | −0.641849 | − | 0.764926i | ||||
\(239\) | −6.73708 | + | 11.6690i | −0.435785 | + | 0.754802i | −0.997359 | − | 0.0726241i | \(-0.976863\pi\) |
0.561574 | + | 0.827426i | \(0.310196\pi\) | |||||||
\(240\) | 0.651228 | − | 26.4607i | 0.0420366 | − | 1.70803i | ||||
\(241\) | 16.5716 | + | 6.03157i | 1.06747 | + | 0.388528i | 0.815231 | − | 0.579137i | \(-0.196610\pi\) |
0.252241 | + | 0.967664i | \(0.418832\pi\) | |||||||
\(242\) | 18.9097 | + | 3.33429i | 1.21556 | + | 0.214336i | ||||
\(243\) | 20.8911 | − | 3.68366i | 1.34016 | − | 0.236307i | ||||
\(244\) | −15.1921 | + | 5.52948i | −0.972576 | + | 0.353989i | ||||
\(245\) | 23.2499 | − | 7.82000i | 1.48538 | − | 0.499602i | ||||
\(246\) | 18.5742 | 1.18424 | ||||||||
\(247\) | 12.7433 | + | 12.9124i | 0.810834 | + | 0.821599i | ||||
\(248\) | − | 5.94596i | − | 0.377569i | ||||||
\(249\) | −14.8200 | − | 12.4355i | −0.939179 | − | 0.788065i | ||||
\(250\) | 5.42301 | + | 19.2022i | 0.342981 | + | 1.21446i | ||||
\(251\) | 3.07923 | + | 17.4632i | 0.194360 | + | 1.10227i | 0.913328 | + | 0.407225i | \(0.133504\pi\) |
−0.718968 | + | 0.695043i | \(0.755385\pi\) | |||||||
\(252\) | −13.2705 | − | 2.33995i | −0.835963 | − | 0.147403i | ||||
\(253\) | −0.737936 | + | 2.02746i | −0.0463936 | + | 0.127465i | ||||
\(254\) | −17.6756 | − | 30.6151i | −1.10907 | − | 1.92096i | ||||
\(255\) | 5.19383 | + | 9.53004i | 0.325250 | + | 0.596794i | ||||
\(256\) | 15.6489 | − | 13.1310i | 0.978058 | − | 0.820688i | ||||
\(257\) | −17.8358 | − | 21.2558i | −1.11256 | − | 1.32590i | −0.940105 | − | 0.340885i | \(-0.889273\pi\) |
−0.172459 | − | 0.985017i | \(-0.555171\pi\) | |||||||
\(258\) | −39.1422 | − | 22.5987i | −2.43688 | − | 1.40694i | ||||
\(259\) | −4.54518 | − | 7.87248i | −0.282424 | − | 0.489172i | ||||
\(260\) | −6.87924 | − | 8.62051i | −0.426632 | − | 0.534621i | ||||
\(261\) | −1.51972 | + | 8.61874i | −0.0940681 | + | 0.533487i | ||||
\(262\) | −6.02852 | + | 1.06299i | −0.372443 | + | 0.0656718i | ||||
\(263\) | 1.90174 | + | 5.22499i | 0.117266 | + | 0.322187i | 0.984415 | − | 0.175864i | \(-0.0562718\pi\) |
−0.867148 | + | 0.498050i | \(0.834050\pi\) | |||||||
\(264\) | −1.30370 | − | 1.09394i | −0.0802373 | − | 0.0673271i | ||||
\(265\) | −21.8208 | − | 13.3246i | −1.34044 | − | 0.818523i | ||||
\(266\) | −26.8879 | − | 19.0926i | −1.64860 | − | 1.17064i | ||||
\(267\) | 10.3479i | 0.633282i | ||||||||
\(268\) | 5.45185 | − | 6.49727i | 0.333025 | − | 0.396884i | ||||
\(269\) | −4.34856 | + | 1.58275i | −0.265137 | + | 0.0965019i | −0.471168 | − | 0.882044i | \(-0.656167\pi\) |
0.206031 | + | 0.978545i | \(0.433945\pi\) | |||||||
\(270\) | −2.81325 | − | 1.10306i | −0.171209 | − | 0.0671300i | ||||
\(271\) | −1.32118 | + | 7.49279i | −0.0802561 | + | 0.455155i | 0.918024 | + | 0.396525i | \(0.129784\pi\) |
−0.998280 | + | 0.0586294i | \(0.981327\pi\) | |||||||
\(272\) | −3.45824 | + | 9.50144i | −0.209687 | + | 0.576110i | ||||
\(273\) | 36.4226 | − | 21.0286i | 2.20439 | − | 1.27271i | ||||
\(274\) | 0.542806 | − | 0.940168i | 0.0327921 | − | 0.0567976i | ||||
\(275\) | 2.26234 | + | 0.951912i | 0.136424 | + | 0.0574025i | ||||
\(276\) | 9.51147 | − | 7.98107i | 0.572523 | − | 0.480404i | ||||
\(277\) | −6.52588 | − | 3.76772i | −0.392102 | − | 0.226380i | 0.290968 | − | 0.956733i | \(-0.406023\pi\) |
−0.683071 | + | 0.730352i | \(0.739356\pi\) | |||||||
\(278\) | −13.0725 | + | 7.54740i | −0.784035 | + | 0.452663i | ||||
\(279\) | 10.3050 | + | 3.75070i | 0.616942 | + | 0.224548i | ||||
\(280\) | −10.3394 | − | 9.11857i | −0.617898 | − | 0.544939i | ||||
\(281\) | −3.16993 | − | 17.9776i | −0.189102 | − | 1.07245i | −0.920570 | − | 0.390577i | \(-0.872276\pi\) |
0.731468 | − | 0.681876i | \(-0.238836\pi\) | |||||||
\(282\) | 3.81427 | + | 10.4796i | 0.227137 | + | 0.624053i | ||||
\(283\) | −19.8836 | + | 23.6963i | −1.18196 | + | 1.40860i | −0.289671 | + | 0.957126i | \(0.593546\pi\) |
−0.892284 | + | 0.451474i | \(0.850898\pi\) | |||||||
\(284\) | −7.15618 | −0.424641 | ||||||||
\(285\) | 15.9085 | + | 16.9335i | 0.942337 | + | 1.00305i | ||||
\(286\) | −3.64624 | −0.215607 | ||||||||
\(287\) | 11.8967 | − | 14.1780i | 0.702241 | − | 0.836898i | ||||
\(288\) | 5.46185 | + | 15.0063i | 0.321842 | + | 0.884255i | ||||
\(289\) | 2.23206 | + | 12.6586i | 0.131298 | + | 0.744625i | ||||
\(290\) | 8.61218 | − | 9.76522i | 0.505725 | − | 0.573434i | ||||
\(291\) | −12.6486 | − | 4.60373i | −0.741476 | − | 0.269875i | ||||
\(292\) | −2.10823 | + | 1.21719i | −0.123375 | + | 0.0712305i | ||||
\(293\) | 18.9653 | + | 10.9496i | 1.10796 | + | 0.639683i | 0.938301 | − | 0.345820i | \(-0.112399\pi\) |
0.169662 | + | 0.985502i | \(0.445732\pi\) | |||||||
\(294\) | −35.7508 | + | 29.9985i | −2.08503 | + | 1.74955i | ||||
\(295\) | 0.181126 | + | 1.19903i | 0.0105456 | + | 0.0698102i | ||||
\(296\) | −1.55938 | + | 2.70093i | −0.0906373 | + | 0.156988i | ||||
\(297\) | −0.321908 | + | 0.185853i | −0.0186790 | + | 0.0107843i | ||||
\(298\) | −2.83062 | + | 7.77706i | −0.163973 | + | 0.450513i | ||||
\(299\) | −3.17654 | + | 18.0151i | −0.183704 | + | 1.04184i | ||||
\(300\) | −8.53594 | − | 11.2537i | −0.492823 | − | 0.649733i | ||||
\(301\) | −42.3205 | + | 15.4034i | −2.43931 | + | 0.887837i | ||||
\(302\) | 16.3023 | − | 19.4283i | 0.938090 | − | 1.11797i | ||||
\(303\) | − | 7.86840i | − | 0.452028i | ||||||
\(304\) | −2.02866 | + | 21.5499i | −0.116352 | + | 1.23597i | ||||
\(305\) | 15.8979 | − | 26.0349i | 0.910309 | − | 1.49075i | ||||
\(306\) | −7.46703 | − | 6.26559i | −0.426862 | − | 0.358180i | ||||
\(307\) | 1.86587 | + | 5.12643i | 0.106491 | + | 0.292581i | 0.981481 | − | 0.191560i | \(-0.0613546\pi\) |
−0.874990 | + | 0.484141i | \(0.839132\pi\) | |||||||
\(308\) | 2.42860 | − | 0.428228i | 0.138382 | − | 0.0244005i | ||||
\(309\) | 1.41387 | − | 8.01845i | 0.0804322 | − | 0.456154i | ||||
\(310\) | −10.1765 | − | 12.7524i | −0.577986 | − | 0.724285i | ||||
\(311\) | −3.34861 | − | 5.79996i | −0.189882 | − | 0.328885i | 0.755329 | − | 0.655346i | \(-0.227477\pi\) |
−0.945211 | + | 0.326461i | \(0.894144\pi\) | |||||||
\(312\) | −12.4960 | − | 7.21459i | −0.707449 | − | 0.408446i | ||||
\(313\) | −2.94576 | − | 3.51062i | −0.166504 | − | 0.198432i | 0.676340 | − | 0.736590i | \(-0.263565\pi\) |
−0.842844 | + | 0.538157i | \(0.819121\pi\) | |||||||
\(314\) | −14.6668 | + | 12.3069i | −0.827696 | + | 0.694520i | ||||
\(315\) | 22.3255 | − | 12.1673i | 1.25790 | − | 0.685549i | ||||
\(316\) | −3.16433 | − | 5.48078i | −0.178007 | − | 0.308318i | ||||
\(317\) | −9.46690 | + | 26.0101i | −0.531714 | + | 1.46087i | 0.325316 | + | 0.945605i | \(0.394529\pi\) |
−0.857030 | + | 0.515267i | \(0.827693\pi\) | |||||||
\(318\) | 47.9045 | + | 8.44686i | 2.68635 | + | 0.473676i | ||||
\(319\) | −0.278119 | − | 1.57729i | −0.0155717 | − | 0.0883115i | ||||
\(320\) | 0.306817 | − | 1.52030i | 0.0171516 | − | 0.0849872i | ||||
\(321\) | −3.20022 | − | 2.68530i | −0.178619 | − | 0.149879i | ||||
\(322\) | − | 33.2520i | − | 1.85306i | ||||||
\(323\) | −3.69785 | − | 8.06856i | −0.205754 | − | 0.448946i | ||||
\(324\) | 11.6754 | 0.648636 | ||||||||
\(325\) | 20.2912 | + | 4.61738i | 1.12556 | + | 0.256126i | ||||
\(326\) | 28.4035 | − | 10.3380i | 1.57313 | − | 0.572571i | ||||
\(327\) | −8.26158 | + | 1.45674i | −0.456866 | + | 0.0805579i | ||||
\(328\) | −6.25336 | − | 1.10264i | −0.345284 | − | 0.0608829i | ||||
\(329\) | 10.4423 | + | 3.80069i | 0.575703 | + | 0.209539i | ||||
\(330\) | −4.66832 | − | 0.114893i | −0.256983 | − | 0.00632463i | ||||
\(331\) | 7.06509 | − | 12.2371i | 0.388332 | − | 0.672611i | −0.603893 | − | 0.797065i | \(-0.706385\pi\) |
0.992225 | + | 0.124454i | \(0.0397179\pi\) | |||||||
\(332\) | −6.18222 | − | 7.36768i | −0.339293 | − | 0.404354i | ||||
\(333\) | −3.69733 | − | 4.40631i | −0.202613 | − | 0.241464i | ||||
\(334\) | 14.5065 | − | 25.1260i | 0.793761 | − | 1.37483i | ||||
\(335\) | −0.393745 | + | 15.9987i | −0.0215126 | + | 0.874100i | ||||
\(336\) | 47.1529 | + | 17.1623i | 2.57240 | + | 0.936278i | ||||
\(337\) | 14.7696 | + | 2.60428i | 0.804550 | + | 0.141864i | 0.560775 | − | 0.827968i | \(-0.310503\pi\) |
0.243775 | + | 0.969832i | \(0.421614\pi\) | |||||||
\(338\) | −7.59654 | + | 1.33947i | −0.413197 | + | 0.0728578i | ||||
\(339\) | 29.6986 | − | 10.8094i | 1.61301 | − | 0.587087i | ||||
\(340\) | 1.72014 | + | 5.11420i | 0.0932879 | + | 0.277357i | ||||
\(341\) | −2.00692 | −0.108681 | ||||||||
\(342\) | −18.8530 | − | 8.94313i | −1.01945 | − | 0.483589i | ||||
\(343\) | 16.8294i | 0.908703i | ||||||||
\(344\) | 11.8364 | + | 9.93195i | 0.638178 | + | 0.535495i | ||||
\(345\) | −4.63462 | + | 22.9648i | −0.249520 | + | 1.23639i | ||||
\(346\) | 2.66244 | + | 15.0995i | 0.143134 | + | 0.811752i | ||||
\(347\) | −20.5956 | − | 3.63155i | −1.10563 | − | 0.194952i | −0.409106 | − | 0.912487i | \(-0.634159\pi\) |
−0.696522 | + | 0.717535i | \(0.745270\pi\) | |||||||
\(348\) | −3.15239 | + | 8.66111i | −0.168986 | + | 0.464284i | ||||
\(349\) | −1.56527 | − | 2.71113i | −0.0837872 | − | 0.145124i | 0.821087 | − | 0.570804i | \(-0.193368\pi\) |
−0.904874 | + | 0.425680i | \(0.860035\pi\) | |||||||
\(350\) | −37.7814 | − | 1.86081i | −2.01950 | − | 0.0994646i | ||||
\(351\) | −2.41420 | + | 2.02575i | −0.128860 | + | 0.108127i | ||||
\(352\) | −1.87856 | − | 2.23878i | −0.100127 | − | 0.119327i | ||||
\(353\) | 6.96750 | + | 4.02269i | 0.370843 | + | 0.214106i | 0.673827 | − | 0.738890i | \(-0.264650\pi\) |
−0.302984 | + | 0.952996i | \(0.597983\pi\) | |||||||
\(354\) | −1.15356 | − | 1.99802i | −0.0613108 | − | 0.106193i | ||||
\(355\) | 10.5541 | − | 8.42223i | 0.560151 | − | 0.447006i | ||||
\(356\) | −0.893318 | + | 5.06626i | −0.0473457 | + | 0.268511i | ||||
\(357\) | −20.2632 | + | 3.57296i | −1.07244 | + | 0.189101i | ||||
\(358\) | 14.3611 | + | 39.4569i | 0.759010 | + | 2.08536i | ||||
\(359\) | −23.4289 | − | 19.6592i | −1.23653 | − | 1.03757i | −0.997787 | − | 0.0664886i | \(-0.978820\pi\) |
−0.238742 | − | 0.971083i | \(-0.576735\pi\) | |||||||
\(360\) | −7.44493 | − | 4.54616i | −0.392382 | − | 0.239603i | ||||
\(361\) | −12.0199 | − | 14.7147i | −0.632628 | − | 0.774456i | ||||
\(362\) | 29.6497i | 1.55835i | ||||||||
\(363\) | 16.4856 | − | 19.6468i | 0.865269 | − | 1.03119i | ||||
\(364\) | 19.6475 | − | 7.15112i | 1.02981 | − | 0.374821i | ||||
\(365\) | 1.67673 | − | 4.27634i | 0.0877639 | − | 0.223834i | ||||
\(366\) | −10.0781 | + | 57.1560i | −0.526793 | + | 2.98759i | ||||
\(367\) | −3.40370 | + | 9.35159i | −0.177672 | + | 0.488149i | −0.996277 | − | 0.0862072i | \(-0.972525\pi\) |
0.818606 | + | 0.574356i | \(0.194748\pi\) | |||||||
\(368\) | −18.9016 | + | 10.9128i | −0.985314 | + | 0.568871i | ||||
\(369\) | 5.85558 | − | 10.1422i | 0.304830 | − | 0.527980i | ||||
\(370\) | 1.27821 | + | 8.46159i | 0.0664510 | + | 0.439897i | ||||
\(371\) | 37.1304 | − | 31.1561i | 1.92771 | − | 1.61754i | ||||
\(372\) | 10.0020 | + | 5.77465i | 0.518579 | + | 0.299402i | ||||
\(373\) | 8.03335 | − | 4.63806i | 0.415951 | − | 0.240149i | −0.277392 | − | 0.960757i | \(-0.589470\pi\) |
0.693343 | + | 0.720607i | \(0.256137\pi\) | |||||||
\(374\) | 1.67629 | + | 0.610119i | 0.0866788 | + | 0.0315485i | ||||
\(375\) | 25.8336 | + | 6.55106i | 1.33404 | + | 0.338295i | ||||
\(376\) | −0.662039 | − | 3.75461i | −0.0341420 | − | 0.193629i | ||||
\(377\) | −4.64441 | − | 12.7604i | −0.239199 | − | 0.657195i | ||||
\(378\) | 3.68230 | − | 4.38839i | 0.189397 | − | 0.225715i | ||||
\(379\) | 21.1472 | 1.08626 | 0.543129 | − | 0.839649i | \(-0.317239\pi\) | ||||
0.543129 | + | 0.839649i | \(0.317239\pi\) | |||||||
\(380\) | 6.32682 | + | 9.66385i | 0.324559 | + | 0.495745i | ||||
\(381\) | −47.2181 | −2.41906 | ||||||||
\(382\) | −14.6963 | + | 17.5143i | −0.751927 | + | 0.896112i | ||||
\(383\) | −5.18165 | − | 14.2365i | −0.264770 | − | 0.727450i | −0.998830 | − | 0.0483649i | \(-0.984599\pi\) |
0.734060 | − | 0.679085i | \(-0.237623\pi\) | |||||||
\(384\) | −4.41636 | − | 25.0464i | −0.225371 | − | 1.27814i | ||||
\(385\) | −3.07775 | + | 3.48982i | −0.156857 | + | 0.177858i | ||||
\(386\) | −16.1665 | − | 5.88411i | −0.822851 | − | 0.299493i | ||||
\(387\) | −24.6795 | + | 14.2487i | −1.25453 | + | 0.724302i | ||||
\(388\) | −5.79524 | − | 3.34588i | −0.294209 | − | 0.169861i | ||||
\(389\) | 24.0908 | − | 20.2146i | 1.22145 | − | 1.02492i | 0.222706 | − | 0.974886i | \(-0.428511\pi\) |
0.998747 | − | 0.0500353i | \(-0.0159334\pi\) | |||||||
\(390\) | −39.1481 | + | 5.91373i | −1.98234 | + | 0.299453i | ||||
\(391\) | 4.47479 | − | 7.75056i | 0.226300 | − | 0.391963i | ||||
\(392\) | 13.8171 | − | 7.97728i | 0.697866 | − | 0.402913i | ||||
\(393\) | −2.79650 | + | 7.68332i | −0.141065 | + | 0.387572i | ||||
\(394\) | −0.961457 | + | 5.45269i | −0.0484375 | + | 0.274703i | ||||
\(395\) | 11.1172 | + | 4.35900i | 0.559369 | + | 0.219325i | ||||
\(396\) | 1.46633 | − | 0.533699i | 0.0736857 | − | 0.0268194i | ||||
\(397\) | 6.03294 | − | 7.18978i | 0.302784 | − | 0.360844i | −0.593102 | − | 0.805127i | \(-0.702097\pi\) |
0.895887 | + | 0.444283i | \(0.146541\pi\) | |||||||
\(398\) | 0.935689i | 0.0469019i | ||||||||
\(399\) | −40.0419 | + | 18.3514i | −2.00460 | + | 0.918717i | ||||
\(400\) | 11.3416 | + | 22.0870i | 0.567079 | + | 1.10435i | ||||
\(401\) | 4.71921 | + | 3.95989i | 0.235666 | + | 0.197747i | 0.752971 | − | 0.658054i | \(-0.228620\pi\) |
−0.517305 | + | 0.855801i | \(0.673065\pi\) | |||||||
\(402\) | −10.4137 | − | 28.6114i | −0.519389 | − | 1.42701i | ||||
\(403\) | −16.7571 | + | 2.95473i | −0.834730 | + | 0.147185i | ||||
\(404\) | 0.679265 | − | 3.85230i | 0.0337947 | − | 0.191659i | ||||
\(405\) | −17.2191 | + | 13.7410i | −0.855626 | + | 0.682797i | ||||
\(406\) | 12.3419 | + | 21.3768i | 0.612518 | + | 1.06091i | ||||
\(407\) | 0.911634 | + | 0.526332i | 0.0451880 | + | 0.0260893i | ||||
\(408\) | 4.53761 | + | 5.40771i | 0.224645 | + | 0.267722i | ||||
\(409\) | −1.75027 | + | 1.46865i | −0.0865454 | + | 0.0726202i | −0.685034 | − | 0.728511i | \(-0.740213\pi\) |
0.598489 | + | 0.801131i | \(0.295768\pi\) | |||||||
\(410\) | −15.2988 | + | 8.33776i | −0.755553 | + | 0.411773i | ||||
\(411\) | −0.725018 | − | 1.25577i | −0.0357625 | − | 0.0619425i | ||||
\(412\) | 1.38444 | − | 3.80371i | 0.0682064 | − | 0.187395i | ||||
\(413\) | −2.26397 | − | 0.399199i | −0.111403 | − | 0.0196433i | ||||
\(414\) | −3.65366 | − | 20.7210i | −0.179568 | − | 1.01838i | ||||
\(415\) | 17.7888 | + | 3.59003i | 0.873218 | + | 0.176227i | ||||
\(416\) | −18.9814 | − | 15.9273i | −0.930640 | − | 0.780900i | ||||
\(417\) | 20.1619i | 0.987332i | ||||||||
\(418\) | 3.80193 | + | 0.357906i | 0.185959 | + | 0.0175057i | ||||
\(419\) | 22.6494 | 1.10649 | 0.553247 | − | 0.833017i | \(-0.313389\pi\) | ||||
0.553247 | + | 0.833017i | \(0.313389\pi\) | |||||||
\(420\) | 25.3803 | − | 8.53658i | 1.23843 | − | 0.416542i | ||||
\(421\) | 21.6100 | − | 7.86540i | 1.05321 | − | 0.383336i | 0.243335 | − | 0.969942i | \(-0.421759\pi\) |
0.809872 | + | 0.586606i | \(0.199536\pi\) | |||||||
\(422\) | −33.5058 | + | 5.90797i | −1.63103 | + | 0.287595i | ||||
\(423\) | 6.92473 | + | 1.22102i | 0.336692 | + | 0.0593679i | ||||
\(424\) | −15.6266 | − | 5.68761i | −0.758893 | − | 0.276215i | ||||
\(425\) | −8.55589 | − | 5.51805i | −0.415022 | − | 0.267665i | ||||
\(426\) | −12.8448 | + | 22.2479i | −0.622334 | + | 1.07791i | ||||
\(427\) | 37.1730 | + | 44.3011i | 1.79893 | + | 2.14388i | ||||
\(428\) | −1.33498 | − | 1.59097i | −0.0645289 | − | 0.0769025i | ||||
\(429\) | −2.43511 | + | 4.21774i | −0.117568 | + | 0.203634i | ||||
\(430\) | 42.3842 | + | 1.04312i | 2.04395 | + | 0.0503038i | ||||
\(431\) | −24.0861 | − | 8.76663i | −1.16019 | − | 0.422274i | −0.311023 | − | 0.950402i | \(-0.600672\pi\) |
−0.849164 | + | 0.528129i | \(0.822894\pi\) | |||||||
\(432\) | −3.70299 | − | 0.652938i | −0.178160 | − | 0.0314145i | ||||
\(433\) | −2.32740 | + | 0.410383i | −0.111847 | + | 0.0197217i | −0.229292 | − | 0.973358i | \(-0.573641\pi\) |
0.117444 | + | 0.993079i | \(0.462530\pi\) | |||||||
\(434\) | 29.0647 | − | 10.5787i | 1.39515 | − | 0.507793i | ||||
\(435\) | −5.54422 | − | 16.4837i | −0.265825 | − | 0.790331i | ||||
\(436\) | −4.17056 | −0.199734 | ||||||||
\(437\) | 5.08050 | − | 18.4725i | 0.243033 | − | 0.883661i | ||||
\(438\) | 8.73906i | 0.417568i | ||||||||
\(439\) | 4.83879 | + | 4.06022i | 0.230943 | + | 0.193784i | 0.750914 | − | 0.660400i | \(-0.229613\pi\) |
−0.519972 | + | 0.854183i | \(0.674058\pi\) | |||||||
\(440\) | 1.56486 | + | 0.315811i | 0.0746019 | + | 0.0150557i | ||||
\(441\) | 5.10967 | + | 28.9784i | 0.243318 | + | 1.37992i | ||||
\(442\) | 14.8947 | + | 2.62634i | 0.708469 | + | 0.124922i | ||||
\(443\) | 10.7821 | − | 29.6234i | 0.512271 | − | 1.40745i | −0.366594 | − | 0.930381i | \(-0.619476\pi\) |
0.878865 | − | 0.477071i | \(-0.158302\pi\) | |||||||
\(444\) | −3.02891 | − | 5.24623i | −0.143746 | − | 0.248975i | ||||
\(445\) | −4.64508 | − | 8.52317i | −0.220198 | − | 0.404037i | ||||
\(446\) | −4.32404 | + | 3.62830i | −0.204749 | + | 0.171805i | ||||
\(447\) | 7.10561 | + | 8.46813i | 0.336084 | + | 0.400529i | ||||
\(448\) | 2.54635 | + | 1.47013i | 0.120304 | + | 0.0694573i | ||||
\(449\) | −7.54142 | − | 13.0621i | −0.355902 | − | 0.616440i | 0.631370 | − | 0.775482i | \(-0.282493\pi\) |
−0.987272 | + | 0.159042i | \(0.949159\pi\) | |||||||
\(450\) | −23.7479 | + | 2.99178i | −1.11949 | + | 0.141034i | ||||
\(451\) | −0.372168 | + | 2.11067i | −0.0175247 | + | 0.0993876i | ||||
\(452\) | 15.4734 | − | 2.72837i | 0.727805 | − | 0.128332i | ||||
\(453\) | −11.5861 | − | 31.8325i | −0.544361 | − | 1.49562i | ||||
\(454\) | 12.3679 | + | 10.3779i | 0.580455 | + | 0.487059i | ||||
\(455\) | −20.5603 | + | 33.6701i | −0.963880 | + | 1.57848i | ||||
\(456\) | 12.3215 | + | 8.74924i | 0.577005 | + | 0.409721i | ||||
\(457\) | − | 20.1347i | − | 0.941861i | −0.882170 | − | 0.470930i | \(-0.843918\pi\) | ||
0.882170 | − | 0.470930i | \(-0.156082\pi\) | |||||||
\(458\) | 20.5251 | − | 24.4609i | 0.959076 | − | 1.14298i | ||||
\(459\) | 1.44885 | − | 0.527337i | 0.0676263 | − | 0.0246140i | ||||
\(460\) | −4.25159 | + | 10.8433i | −0.198231 | + | 0.505571i | ||||
\(461\) | −1.29974 | + | 7.37118i | −0.0605348 | + | 0.343310i | 0.939465 | + | 0.342645i | \(0.111323\pi\) |
−1.00000 | 0.000665051i | \(0.999788\pi\) | ||||||||
\(462\) | 3.02784 | − | 8.31893i | 0.140868 | − | 0.387032i | ||||
\(463\) | −18.7038 | + | 10.7986i | −0.869239 | + | 0.501855i | −0.867095 | − | 0.498142i | \(-0.834016\pi\) |
−0.00214362 | + | 0.999998i | \(0.500682\pi\) | |||||||
\(464\) | 8.10087 | − | 14.0311i | 0.376074 | − | 0.651379i | ||||
\(465\) | −21.5474 | + | 3.25496i | −0.999237 | + | 0.150945i | ||||
\(466\) | 8.80891 | − | 7.39155i | 0.408065 | − | 0.342407i | ||||
\(467\) | −23.4263 | − | 13.5252i | −1.08404 | − | 0.625870i | −0.152056 | − | 0.988372i | \(-0.548589\pi\) |
−0.931983 | + | 0.362501i | \(0.881923\pi\) | |||||||
\(468\) | 11.4576 | − | 6.61505i | 0.529628 | − | 0.305781i | ||||
\(469\) | −28.5096 | − | 10.3766i | −1.31645 | − | 0.479148i | ||||
\(470\) | −7.84587 | − | 6.91946i | −0.361903 | − | 0.319171i | ||||
\(471\) | 4.44075 | + | 25.1847i | 0.204619 | + | 1.16045i | ||||
\(472\) | 0.269757 | + | 0.741151i | 0.0124166 | + | 0.0341143i | ||||
\(473\) | 3.35229 | − | 3.99510i | 0.154138 | − | 0.183695i | ||||
\(474\) | −22.7190 | −1.04352 | ||||||||
\(475\) | −20.7045 | − | 6.80628i | −0.949986 | − | 0.312294i | ||||
\(476\) | −10.2292 | −0.468853 | ||||||||
\(477\) | 19.7144 | − | 23.4947i | 0.902660 | − | 1.07575i | ||||
\(478\) | 8.22457 | + | 22.5968i | 0.376183 | + | 1.03355i | ||||
\(479\) | 6.60791 | + | 37.4753i | 0.301923 | + | 1.71229i | 0.637646 | + | 0.770329i | \(0.279908\pi\) |
−0.335723 | + | 0.941961i | \(0.608981\pi\) | |||||||
\(480\) | −23.8003 | − | 20.9900i | −1.08633 | − | 0.958059i | ||||
\(481\) | 8.38675 | + | 3.05253i | 0.382403 | + | 0.139183i | ||||
\(482\) | 27.2565 | − | 15.7365i | 1.24150 | − | 0.716779i | ||||
\(483\) | −38.4638 | − | 22.2071i | −1.75016 | − | 1.01046i | ||||
\(484\) | 9.76728 | − | 8.19572i | 0.443967 | − | 0.372533i | ||||
\(485\) | 12.4847 | − | 1.88595i | 0.566903 | − | 0.0856366i | ||||
\(486\) | 18.9295 | − | 32.7869i | 0.858661 | − | 1.48724i | ||||
\(487\) | 15.8788 | − | 9.16764i | 0.719538 | − | 0.415426i | −0.0950445 | − | 0.995473i | \(-0.530299\pi\) |
0.814583 | + | 0.580047i | \(0.196966\pi\) | |||||||
\(488\) | 6.78601 | − | 18.6444i | 0.307188 | − | 0.843993i | ||||
\(489\) | 7.01069 | − | 39.7596i | 0.317034 | − | 1.79799i | ||||
\(490\) | 15.9805 | − | 40.7568i | 0.721924 | − | 1.84120i | ||||
\(491\) | 14.1588 | − | 5.15338i | 0.638978 | − | 0.232569i | −0.00215650 | − | 0.999998i | \(-0.500686\pi\) |
0.641134 | + | 0.767429i | \(0.278464\pi\) | |||||||
\(492\) | 7.92799 | − | 9.44821i | 0.357421 | − | 0.425958i | ||||
\(493\) | 6.64350i | 0.299208i | ||||||||
\(494\) | 32.2718 | − | 2.60909i | 1.45198 | − | 0.117388i | ||||
\(495\) | −1.53444 | + | 2.51285i | −0.0689682 | + | 0.112944i | ||||
\(496\) | −15.5519 | − | 13.0496i | −0.698302 | − | 0.585945i | ||||
\(497\) | 8.75509 | + | 24.0544i | 0.392720 | + | 1.07899i | ||||
\(498\) | −34.0021 | + | 5.99549i | −1.52367 | + | 0.268664i | ||||
\(499\) | −5.99606 | + | 34.0053i | −0.268420 | + | 1.52229i | 0.490695 | + | 0.871332i | \(0.336743\pi\) |
−0.759115 | + | 0.650956i | \(0.774368\pi\) | |||||||
\(500\) | 12.0824 | + | 5.43752i | 0.540341 | + | 0.243173i | ||||
\(501\) | −19.3761 | − | 33.5604i | −0.865661 | − | 1.49937i | ||||
\(502\) | 27.4071 | + | 15.8235i | 1.22324 | + | 0.706237i | ||||
\(503\) | −19.8431 | − | 23.6481i | −0.884760 | − | 1.05442i | −0.998146 | − | 0.0608649i | \(-0.980614\pi\) |
0.113386 | − | 0.993551i | \(-0.463830\pi\) | |||||||
\(504\) | 12.6683 | − | 10.6300i | 0.564293 | − | 0.473498i | ||||
\(505\) | 3.53205 | + | 6.48088i | 0.157174 | + | 0.288395i | ||||
\(506\) | 1.92529 | + | 3.33471i | 0.0855897 | + | 0.148246i | ||||
\(507\) | −3.52387 | + | 9.68175i | −0.156501 | + | 0.429982i | ||||
\(508\) | −23.1176 | − | 4.07626i | −1.02568 | − | 0.180855i | ||||
\(509\) | −1.76734 | − | 10.0231i | −0.0783358 | − | 0.444264i | −0.998597 | − | 0.0529589i | \(-0.983135\pi\) |
0.920261 | − | 0.391305i | \(-0.127976\pi\) | |||||||
\(510\) | 18.9871 | + | 3.83187i | 0.840764 | + | 0.169678i | ||||
\(511\) | 6.67067 | + | 5.59735i | 0.295093 | + | 0.247612i | ||||
\(512\) | − | 15.1195i | − | 0.668194i | ||||||
\(513\) | 2.71613 | − | 1.87528i | 0.119920 | − | 0.0827956i | ||||
\(514\) | −49.5204 | −2.18425 | ||||||||
\(515\) | 2.43486 | + | 7.23915i | 0.107293 | + | 0.318995i | ||||
\(516\) | −28.2024 | + | 10.2648i | −1.24154 | + | 0.451885i | ||||
\(517\) | −1.26728 | + | 0.223455i | −0.0557348 | + | 0.00982754i | ||||
\(518\) | −15.9769 | − | 2.81716i | −0.701984 | − | 0.123779i | ||||
\(519\) | 19.2442 | + | 7.00431i | 0.844726 | + | 0.307455i | ||||
\(520\) | 13.5311 | + | 0.333014i | 0.593376 | + | 0.0146036i | ||||
\(521\) | −8.27116 | + | 14.3261i | −0.362366 | + | 0.627636i | −0.988350 | − | 0.152200i | \(-0.951364\pi\) |
0.625984 | + | 0.779836i | \(0.284698\pi\) | |||||||
\(522\) | 10.0397 | + | 11.9648i | 0.439425 | + | 0.523686i | ||||
\(523\) | −5.14102 | − | 6.12683i | −0.224801 | − | 0.267908i | 0.641841 | − | 0.766838i | \(-0.278171\pi\) |
−0.866642 | + | 0.498930i | \(0.833726\pi\) | |||||||
\(524\) | −2.03243 | + | 3.52027i | −0.0887871 | + | 0.153784i | ||||
\(525\) | −27.3845 | + | 42.4604i | −1.19516 | + | 1.85313i | ||||
\(526\) | 9.32492 | + | 3.39399i | 0.406586 | + | 0.147985i | ||||
\(527\) | 8.19816 | + | 1.44556i | 0.357117 | + | 0.0629694i | ||||
\(528\) | −5.72247 | + | 1.00903i | −0.249039 | + | 0.0439122i | ||||
\(529\) | −3.45976 | + | 1.25925i | −0.150424 | + | 0.0547500i | ||||
\(530\) | −43.2487 | + | 14.5465i | −1.87860 | + | 0.631862i | ||||
\(531\) | −1.45465 | −0.0631266 | ||||||||
\(532\) | −21.1884 | + | 5.52792i | −0.918635 | + | 0.239666i | ||||
\(533\) | 18.1713i | 0.787088i | ||||||||
\(534\) | 14.1471 | + | 11.8708i | 0.612204 | + | 0.513700i | ||||
\(535\) | 3.84130 | + | 0.775227i | 0.166074 | + | 0.0335160i | ||||
\(536\) | 1.80749 | + | 10.2508i | 0.0780719 | + | 0.442768i | ||||
\(537\) | 55.2322 | + | 9.73893i | 2.38345 | + | 0.420266i | ||||
\(538\) | −2.82470 | + | 7.76079i | −0.121781 | + | 0.334591i | ||||
\(539\) | −2.69254 | − | 4.66361i | −0.115976 | − | 0.200876i | ||||
\(540\) | −1.76188 | + | 0.960214i | −0.0758191 | + | 0.0413210i | ||||
\(541\) | 3.98380 | − | 3.34280i | 0.171277 | − | 0.143718i | −0.553120 | − | 0.833102i | \(-0.686563\pi\) |
0.724397 | + | 0.689383i | \(0.242118\pi\) | |||||||
\(542\) | 8.72810 | + | 10.4017i | 0.374904 | + | 0.446793i | ||||
\(543\) | 34.2969 | + | 19.8013i | 1.47182 | + | 0.849755i | ||||
\(544\) | 6.06125 | + | 10.4984i | 0.259874 | + | 0.450115i | ||||
\(545\) | 6.15081 | − | 4.90840i | 0.263472 | − | 0.210253i | ||||
\(546\) | 13.0338 | − | 73.9182i | 0.557794 | − | 3.16341i | ||||
\(547\) | 10.8663 | − | 1.91602i | 0.464610 | − | 0.0819233i | 0.0635572 | − | 0.997978i | \(-0.479755\pi\) |
0.401053 | + | 0.916055i | \(0.368644\pi\) | |||||||
\(548\) | −0.246555 | − | 0.677403i | −0.0105323 | − | 0.0289372i | ||||
\(549\) | 28.0321 | + | 23.5217i | 1.19638 | + | 1.00388i | ||||
\(550\) | 3.89668 | − | 2.00093i | 0.166155 | − | 0.0853201i | ||||
\(551\) | 3.59020 | + | 13.7612i | 0.152948 | + | 0.586245i | ||||
\(552\) | 15.2379i | 0.648566i | ||||||||
\(553\) | −14.5515 | + | 17.3418i | −0.618792 | + | 0.737447i | ||||
\(554\) | −12.6373 | + | 4.59960i | −0.536907 | + | 0.195418i | ||||
\(555\) | 10.6415 | + | 4.17245i | 0.451705 | + | 0.177111i | ||||
\(556\) | −1.74054 | + | 9.87109i | −0.0738153 | + | 0.418628i | ||||
\(557\) | 7.27877 | − | 19.9983i | 0.308411 | − | 0.847353i | −0.684555 | − | 0.728961i | \(-0.740004\pi\) |
0.992967 | − | 0.118393i | \(-0.0377741\pi\) | |||||||
\(558\) | 16.9493 | − | 9.78567i | 0.717520 | − | 0.414260i | ||||
\(559\) | 22.1086 | − | 38.2933i | 0.935095 | − | 1.61963i | ||||
\(560\) | −46.5420 | + | 7.03064i | −1.96676 | + | 0.297099i | ||||
\(561\) | 1.82524 | − | 1.53156i | 0.0770618 | − | 0.0646625i | ||||
\(562\) | −28.2144 | − | 16.2896i | −1.19015 | − | 0.687134i | ||||
\(563\) | 12.7368 | − | 7.35358i | 0.536791 | − | 0.309917i | −0.206986 | − | 0.978344i | \(-0.566366\pi\) |
0.743778 | + | 0.668427i | \(0.233032\pi\) | |||||||
\(564\) | 6.95877 | + | 2.53279i | 0.293017 | + | 0.106650i | ||||
\(565\) | −19.6093 | + | 22.2347i | −0.824970 | + | 0.935421i | ||||
\(566\) | 9.58644 | + | 54.3674i | 0.402948 | + | 2.28523i | ||||
\(567\) | −14.2841 | − | 39.2453i | −0.599876 | − | 1.64815i | ||||
\(568\) | 5.64519 | − | 6.72768i | 0.236867 | − | 0.282287i | ||||
\(569\) | −40.6551 | −1.70435 | −0.852174 | − | 0.523258i | \(-0.824716\pi\) | ||||
−0.852174 | + | 0.523258i | \(0.824716\pi\) | |||||||
\(570\) | 41.4002 | − | 2.32356i | 1.73406 | − | 0.0973233i | ||||
\(571\) | −24.3240 | −1.01793 | −0.508964 | − | 0.860788i | \(-0.669972\pi\) | ||||
−0.508964 | + | 0.860788i | \(0.669972\pi\) | |||||||
\(572\) | −1.55632 | + | 1.85475i | −0.0650730 | + | 0.0775510i | ||||
\(573\) | 10.4447 | + | 28.6966i | 0.436333 | + | 1.19882i | ||||
\(574\) | −5.73575 | − | 32.5290i | −0.239405 | − | 1.35774i | ||||
\(575\) | −6.49135 | − | 20.9957i | −0.270708 | − | 0.875579i | ||||
\(576\) | 1.74829 | + | 0.636325i | 0.0728454 | + | 0.0265136i | ||||
\(577\) | −29.1743 | + | 16.8438i | −1.21454 | + | 0.701216i | −0.963745 | − | 0.266824i | \(-0.914026\pi\) |
−0.250796 | + | 0.968040i | \(0.580692\pi\) | |||||||
\(578\) | 19.8667 | + | 11.4700i | 0.826346 | + | 0.477091i | ||||
\(579\) | −17.6030 | + | 14.7707i | −0.731557 | + | 0.613849i | ||||
\(580\) | −1.29140 | − | 8.54888i | −0.0536224 | − | 0.354973i | ||||
\(581\) | −17.2018 | + | 29.7945i | −0.713652 | + | 1.23608i | ||||
\(582\) | −20.8041 | + | 12.0112i | −0.862357 | + | 0.497882i | ||||
\(583\) | −1.91971 | + | 5.27437i | −0.0795064 | + | 0.218442i | ||||
\(584\) | 0.518785 | − | 2.94218i | 0.0214675 | − | 0.121748i | ||||
\(585\) | −9.11250 | + | 23.2406i | −0.376756 | + | 0.960882i | ||||
\(586\) | 36.7261 | − | 13.3672i | 1.51714 | − | 0.552194i | ||||
\(587\) | −1.44613 | + | 1.72343i | −0.0596880 | + | 0.0711334i | −0.795062 | − | 0.606528i | \(-0.792562\pi\) |
0.735374 | + | 0.677661i | \(0.237006\pi\) | |||||||
\(588\) | 30.9898i | 1.27800i | ||||||||
\(589\) | 17.7626 | − | 1.43606i | 0.731897 | − | 0.0591718i | ||||
\(590\) | 1.84703 | + | 1.12787i | 0.0760409 | + | 0.0464335i | ||||
\(591\) | 5.66523 | + | 4.75369i | 0.233036 | + | 0.195541i | ||||
\(592\) | 3.64202 | + | 10.0064i | 0.149686 | + | 0.411259i | ||||
\(593\) | 30.9103 | − | 5.45032i | 1.26933 | − | 0.223818i | 0.501888 | − | 0.864932i | \(-0.332639\pi\) |
0.767445 | + | 0.641115i | \(0.221528\pi\) | |||||||
\(594\) | −0.115194 | + | 0.653299i | −0.00472648 | + | 0.0268052i | ||||
\(595\) | 15.0862 | − | 12.0389i | 0.618472 | − | 0.493546i | ||||
\(596\) | 2.74781 | + | 4.75934i | 0.112555 | + | 0.194950i | ||||
\(597\) | 1.08235 | + | 0.624893i | 0.0442975 | + | 0.0255752i | ||||
\(598\) | 20.9852 | + | 25.0091i | 0.858147 | + | 1.02270i | ||||
\(599\) | −7.97210 | + | 6.68939i | −0.325731 | + | 0.273321i | −0.790958 | − | 0.611871i | \(-0.790417\pi\) |
0.465227 | + | 0.885192i | \(0.345973\pi\) | |||||||
\(600\) | 17.3135 | + | 0.852724i | 0.706820 | + | 0.0348123i | ||||
\(601\) | 0.647959 | + | 1.12230i | 0.0264308 | + | 0.0457795i | 0.878938 | − | 0.476936i | \(-0.158253\pi\) |
−0.852507 | + | 0.522715i | \(0.824919\pi\) | |||||||
\(602\) | −27.4901 | + | 75.5285i | −1.12041 | + | 3.07831i | ||||
\(603\) | −18.9059 | − | 3.33361i | −0.769906 | − | 0.135755i | ||||
\(604\) | −2.92440 | − | 16.5851i | −0.118992 | − | 0.674839i | ||||
\(605\) | −4.75927 | + | 23.5825i | −0.193492 | + | 0.958764i | ||||
\(606\) | −10.7572 | − | 9.02638i | −0.436982 | − | 0.366672i | ||||
\(607\) | − | 5.50902i | − | 0.223604i | −0.993730 | − | 0.111802i | \(-0.964338\pi\) | ||
0.993730 | − | 0.111802i | \(-0.0356623\pi\) | |||||||
\(608\) | 18.2285 | + | 18.4706i | 0.739265 | + | 0.749080i | ||||
\(609\) | 32.9698 | 1.33600 | ||||||||
\(610\) | −17.3558 | − | 51.6010i | −0.702716 | − | 2.08927i | ||||
\(611\) | −10.2524 | + | 3.73155i | −0.414766 | + | 0.150962i | ||||
\(612\) | −6.37430 | + | 1.12396i | −0.257666 | + | 0.0454334i | ||||
\(613\) | −40.0547 | − | 7.06273i | −1.61780 | − | 0.285261i | −0.709851 | − | 0.704351i | \(-0.751238\pi\) |
−0.907945 | + | 0.419090i | \(0.862349\pi\) | |||||||
\(614\) | 9.14903 | + | 3.32997i | 0.369225 | + | 0.134387i | ||||
\(615\) | −0.572577 | + | 23.2650i | −0.0230885 | + | 0.938134i | ||||
\(616\) | −1.51323 | + | 2.62099i | −0.0609697 | + | 0.105603i | ||||
\(617\) | −19.6085 | − | 23.3684i | −0.789407 | − | 0.940778i | 0.209911 | − | 0.977721i | \(-0.432683\pi\) |
−0.999317 | + | 0.0369423i | \(0.988238\pi\) | |||||||
\(618\) | −9.34043 | − | 11.1315i | −0.375727 | − | 0.447774i | ||||
\(619\) | 2.90205 | − | 5.02651i | 0.116643 | − | 0.202032i | −0.801792 | − | 0.597603i | \(-0.796120\pi\) |
0.918436 | + | 0.395571i | \(0.129453\pi\) | |||||||
\(620\) | −10.8304 | − | 0.266549i | −0.434960 | − | 0.0107049i | ||||
\(621\) | 3.12742 | + | 1.13829i | 0.125499 | + | 0.0456779i | ||||
\(622\) | −11.7708 | − | 2.07551i | −0.471966 | − | 0.0832203i | ||||
\(623\) | 18.1224 | − | 3.19546i | 0.726058 | − | 0.128024i | ||||
\(624\) | −46.2952 | + | 16.8501i | −1.85329 | + | 0.674542i | ||||
\(625\) | −24.2188 | + | 6.20063i | −0.968754 | + | 0.248025i | ||||
\(626\) | −8.17881 | −0.326891 | ||||||||
\(627\) | 2.95309 | − | 4.15881i | 0.117935 | − | 0.166087i | ||||
\(628\) | 12.7136i | 0.507328i | ||||||||
\(629\) | −3.34487 | − | 2.80668i | −0.133369 | − | 0.111910i | ||||
\(630\) | 8.97670 | − | 44.4801i | 0.357640 | − | 1.77213i | ||||
\(631\) | −4.05716 | − | 23.0093i | −0.161513 | − | 0.915985i | −0.952587 | − | 0.304265i | \(-0.901589\pi\) |
0.791074 | − | 0.611720i | \(-0.209522\pi\) | |||||||
\(632\) | 7.64880 | + | 1.34869i | 0.304253 | + | 0.0536480i | ||||
\(633\) | −15.5426 | + | 42.7029i | −0.617763 | + | 1.69729i | ||||
\(634\) | 24.6994 | + | 42.7806i | 0.980937 | + | 1.69903i | ||||
\(635\) | 38.8917 | − | 21.1958i | 1.54337 | − | 0.841129i | ||||
\(636\) | 24.7437 | − | 20.7625i | 0.981153 | − | 0.823285i | ||||
\(637\) | −29.3479 | − | 34.9755i | −1.16281 | − | 1.38578i | ||||
\(638\) | −2.47544 | − | 1.42919i | −0.0980034 | − | 0.0565823i | ||||
\(639\) | 8.09878 | + | 14.0275i | 0.320383 | + | 0.554919i | ||||
\(640\) | 14.8807 | + | 18.6473i | 0.588210 | + | 0.737097i | ||||
\(641\) | 3.18574 | − | 18.0672i | 0.125829 | − | 0.713612i | −0.854983 | − | 0.518656i | \(-0.826432\pi\) |
0.980812 | − | 0.194956i | \(-0.0624564\pi\) | |||||||
\(642\) | −7.34238 | + | 1.29466i | −0.289781 | + | 0.0510962i | ||||
\(643\) | −5.39128 | − | 14.8124i | −0.212611 | − | 0.584144i | 0.786844 | − | 0.617152i | \(-0.211714\pi\) |
−0.999455 | + | 0.0330077i | \(0.989491\pi\) | |||||||
\(644\) | −16.9145 | − | 14.1929i | −0.666523 | − | 0.559279i | ||||
\(645\) | 29.5126 | − | 48.3307i | 1.16206 | − | 1.90302i | ||||
\(646\) | −15.2729 | − | 4.20051i | −0.600905 | − | 0.165267i | ||||
\(647\) | 25.0443i | 0.984592i | 0.870428 | + | 0.492296i | \(0.163842\pi\) | ||||
−0.870428 | + | 0.492296i | \(0.836158\pi\) | |||||||
\(648\) | −9.21024 | + | 10.9763i | −0.361812 | + | 0.431191i | ||||
\(649\) | 0.250158 | − | 0.0910500i | 0.00981955 | − | 0.00357402i | ||||
\(650\) | 29.5901 | − | 22.4441i | 1.16062 | − | 0.880331i | ||||
\(651\) | 7.17388 | − | 40.6851i | 0.281167 | − | 1.59457i | ||||
\(652\) | 6.86475 | − | 18.8608i | 0.268844 | − | 0.738644i | ||||
\(653\) | 2.58813 | − | 1.49426i | 0.101282 | − | 0.0584749i | −0.448504 | − | 0.893781i | \(-0.648043\pi\) |
0.549785 | + | 0.835306i | \(0.314710\pi\) | |||||||
\(654\) | −7.48586 | + | 12.9659i | −0.292720 | + | 0.507006i | ||||
\(655\) | −1.14561 | − | 7.58376i | −0.0447625 | − | 0.296322i | ||||
\(656\) | −16.6082 | + | 13.9360i | −0.648443 | + | 0.544108i | ||||
\(657\) | 4.77185 | + | 2.75503i | 0.186167 | + | 0.107484i | ||||
\(658\) | 17.1752 | − | 9.91610i | 0.669559 | − | 0.386570i | ||||
\(659\) | −33.6123 | − | 12.2339i | −1.30935 | − | 0.476564i | −0.409320 | − | 0.912391i | \(-0.634234\pi\) |
−0.900031 | + | 0.435827i | \(0.856456\pi\) | |||||||
\(660\) | −2.05102 | + | 2.32562i | −0.0798358 | + | 0.0905247i | ||||
\(661\) | 0.559402 | + | 3.17253i | 0.0217582 | + | 0.123397i | 0.993752 | − | 0.111609i | \(-0.0356003\pi\) |
−0.971994 | + | 0.235006i | \(0.924489\pi\) | |||||||
\(662\) | −8.62500 | − | 23.6970i | −0.335220 | − | 0.921010i | ||||
\(663\) | 12.9853 | − | 15.4753i | 0.504307 | − | 0.601010i | ||||
\(664\) | 11.8034 | 0.458061 | ||||||||
\(665\) | 24.7432 | − | 33.0897i | 0.959499 | − | 1.28316i | ||||
\(666\) | −10.2655 | −0.397781 | ||||||||
\(667\) | −9.21782 | + | 10.9854i | −0.356915 | + | 0.425355i | ||||
\(668\) | −6.58918 | − | 18.1036i | −0.254943 | − | 0.700450i | ||||
\(669\) | 1.30921 | + | 7.42491i | 0.0506170 | + | 0.287064i | ||||
\(670\) | 21.4208 | + | 18.8915i | 0.827556 | + | 0.729841i | ||||
\(671\) | −6.29297 | − | 2.29045i | −0.242937 | − | 0.0884220i | ||||
\(672\) | 52.1005 | − | 30.0802i | 2.00982 | − | 1.16037i | ||||
\(673\) | 0.554001 | + | 0.319853i | 0.0213552 | + | 0.0123294i | 0.510640 | − | 0.859795i | \(-0.329409\pi\) |
−0.489284 | + | 0.872124i | \(0.662742\pi\) | |||||||
\(674\) | 20.5036 | − | 17.2046i | 0.789770 | − | 0.662696i | ||||
\(675\) | 1.46835 | − | 3.48972i | 0.0565169 | − | 0.134319i | ||||
\(676\) | −2.56107 | + | 4.43590i | −0.0985025 | + | 0.170611i | ||||
\(677\) | −22.3439 | + | 12.9002i | −0.858744 | + | 0.495796i | −0.863592 | − | 0.504192i | \(-0.831790\pi\) |
0.00484733 | + | 0.999988i | \(0.498457\pi\) | |||||||
\(678\) | 19.2913 | − | 53.0025i | 0.740879 | − | 2.03555i | ||||
\(679\) | −4.15661 | + | 23.5733i | −0.159516 | + | 0.904660i | ||||
\(680\) | −6.16492 | − | 2.41723i | −0.236414 | − | 0.0926964i | ||||
\(681\) | 20.2643 | − | 7.37561i | 0.776530 | − | 0.282634i | ||||
\(682\) | −2.30227 | + | 2.74374i | −0.0881585 | + | 0.105063i | ||||
\(683\) | 5.33696i | 0.204213i | 0.994773 | + | 0.102107i | \(0.0325583\pi\) | ||||
−0.994773 | + | 0.102107i | \(0.967442\pi\) | |||||||
\(684\) | −12.5962 | + | 5.77286i | −0.481626 | + | 0.220731i | ||||
\(685\) | 1.16087 | + | 0.708872i | 0.0443546 | + | 0.0270846i | ||||
\(686\) | 23.0082 | + | 19.3062i | 0.878458 | + | 0.737114i | ||||
\(687\) | −14.5873 | − | 40.0782i | −0.556539 | − | 1.52908i | ||||
\(688\) | 51.9549 | − | 9.16105i | 1.98076 | − | 0.349262i | ||||
\(689\) | −8.26367 | + | 46.8656i | −0.314821 | + | 1.78544i | ||||
\(690\) | 26.0795 | + | 32.6807i | 0.992830 | + | 1.24413i | ||||
\(691\) | −6.62534 | − | 11.4754i | −0.252040 | − | 0.436545i | 0.712048 | − | 0.702131i | \(-0.247768\pi\) |
−0.964087 | + | 0.265586i | \(0.914435\pi\) | |||||||
\(692\) | 8.81712 | + | 5.09057i | 0.335177 | + | 0.193514i | ||||
\(693\) | −3.58790 | − | 4.27589i | −0.136293 | − | 0.162428i | ||||
\(694\) | −28.5915 | + | 23.9911i | −1.08532 | + | 0.910689i | ||||
\(695\) | −9.05048 | − | 16.6065i | −0.343304 | − | 0.629922i | ||||
\(696\) | −5.65572 | − | 9.79599i | −0.214379 | − | 0.371316i | ||||
\(697\) | 3.04058 | − | 8.35392i | 0.115170 | − | 0.316427i | ||||
\(698\) | −5.50214 | − | 0.970176i | −0.208259 | − | 0.0367217i | ||||
\(699\) | −2.66712 | − | 15.1260i | −0.100880 | − | 0.572117i | ||||
\(700\) | −17.0728 | + | 18.4242i | −0.645290 | + | 0.696370i | ||||
\(701\) | 31.3081 | + | 26.2706i | 1.18249 | + | 0.992228i | 0.999959 | + | 0.00902862i | \(0.00287394\pi\) |
0.182533 | + | 0.983200i | \(0.441571\pi\) | |||||||
\(702\) | 5.62443i | 0.212280i | ||||||||
\(703\) | −8.44523 | − | 4.00609i | −0.318518 | − | 0.151093i | ||||
\(704\) | −0.340484 | −0.0128325 | ||||||||
\(705\) | −13.2438 | + | 4.45450i | −0.498790 | + | 0.167766i | ||||
\(706\) | 13.4925 | − | 4.91087i | 0.507797 | − | 0.184823i | ||||
\(707\) | −13.7800 | + | 2.42978i | −0.518249 | + | 0.0913813i | ||||
\(708\) | −1.50871 | − | 0.266027i | −0.0567009 | − | 0.00999789i | ||||
\(709\) | 6.91375 | + | 2.51640i | 0.259651 | + | 0.0945053i | 0.468566 | − | 0.883429i | \(-0.344771\pi\) |
−0.208915 | + | 0.977934i | \(0.566993\pi\) | |||||||
\(710\) | 0.592897 | − | 24.0906i | 0.0222510 | − | 0.904105i | ||||
\(711\) | −7.16226 | + | 12.4054i | −0.268606 | + | 0.465239i | ||||
\(712\) | −4.05820 | − | 4.83637i | −0.152087 | − | 0.181251i | ||||
\(713\) | 11.5504 | + | 13.7652i | 0.432565 | + | 0.515511i | ||||
\(714\) | −18.3606 | + | 31.8015i | −0.687129 | + | 1.19014i | ||||
\(715\) | 0.112401 | − | 4.56708i | 0.00420355 | − | 0.170799i | ||||
\(716\) | 26.2005 | + | 9.53620i | 0.979158 | + | 0.356384i | ||||
\(717\) | 31.6313 | + | 5.57745i | 1.18129 | + | 0.208294i | ||||
\(718\) | −53.7538 | + | 9.47825i | −2.00607 | + | 0.353725i | ||||
\(719\) | −30.0323 | + | 10.9309i | −1.12002 | + | 0.407653i | −0.834658 | − | 0.550768i | \(-0.814335\pi\) |
−0.285358 | + | 0.958421i | \(0.592113\pi\) | |||||||
\(720\) | −28.2301 | + | 9.49507i | −1.05207 | + | 0.353861i | ||||
\(721\) | −14.4794 | −0.539240 | ||||||||
\(722\) | −33.9059 | − | 0.447227i | −1.26185 | − | 0.0166441i | ||||
\(723\) | − | 42.0381i | − | 1.56341i | ||||||
\(724\) | 15.0820 | + | 12.6553i | 0.560520 | + | 0.470332i | ||||
\(725\) | 11.9659 | + | 11.0882i | 0.444403 | + | 0.411805i | ||||
\(726\) | −7.94817 | − | 45.0763i | −0.294984 | − | 1.67294i | ||||
\(727\) | 28.9418 | + | 5.10323i | 1.07339 | + | 0.189268i | 0.682292 | − | 0.731079i | \(-0.260983\pi\) |
0.391101 | + | 0.920348i | \(0.372094\pi\) | |||||||
\(728\) | −8.77615 | + | 24.1123i | −0.325266 | + | 0.893661i | ||||
\(729\) | −10.5058 | − | 18.1966i | −0.389103 | − | 0.673947i | ||||
\(730\) | −3.92288 | − | 7.19801i | −0.145192 | − | 0.266410i | ||||
\(731\) | −16.5716 | + | 13.9052i | −0.612922 | + | 0.514302i | ||||
\(732\) | 24.7722 | + | 29.5223i | 0.915606 | + | 1.09118i | ||||
\(733\) | 44.0187 | + | 25.4142i | 1.62587 | + | 0.938696i | 0.985307 | + | 0.170790i | \(0.0546319\pi\) |
0.640562 | + | 0.767906i | \(0.278701\pi\) | |||||||
\(734\) | 8.88034 | + | 15.3812i | 0.327779 | + | 0.567730i | ||||
\(735\) | −36.4724 | − | 45.7043i | −1.34531 | − | 1.68583i | ||||
\(736\) | −4.54388 | + | 25.7696i | −0.167490 | + | 0.949880i | ||||
\(737\) | 3.45991 | − | 0.610076i | 0.127448 | − | 0.0224724i | ||||
\(738\) | −7.14845 | − | 19.6402i | −0.263138 | − | 0.722966i | ||||
\(739\) | −11.2796 | − | 9.46473i | −0.414928 | − | 0.348166i | 0.411302 | − | 0.911499i | \(-0.365074\pi\) |
−0.826230 | + | 0.563334i | \(0.809519\pi\) | |||||||
\(740\) | 4.84978 | + | 2.96146i | 0.178281 | + | 0.108865i | ||||
\(741\) | 18.5345 | − | 39.0725i | 0.680880 | − | 1.43536i | ||||
\(742\) | − | 86.5039i | − | 3.17566i | ||||||
\(743\) | −22.2770 | + | 26.5487i | −0.817263 | + | 0.973976i | −0.999958 | − | 0.00919385i | \(-0.997073\pi\) |
0.182695 | + | 0.983170i | \(0.441518\pi\) | |||||||
\(744\) | −13.3190 | + | 4.84772i | −0.488298 | + | 0.177726i | ||||
\(745\) | −9.65387 | − | 3.78522i | −0.353690 | − | 0.138680i | ||||
\(746\) | 2.87472 | − | 16.3034i | 0.105251 | − | 0.596909i | ||||
\(747\) | −7.44555 | + | 20.4565i | −0.272418 | + | 0.748464i | ||||
\(748\) | 1.02584 | − | 0.592270i | 0.0375085 | − | 0.0216555i | ||||
\(749\) | −3.71455 | + | 6.43379i | −0.135727 | + | 0.235086i | ||||
\(750\) | 38.5918 | − | 27.8031i | 1.40917 | − | 1.01523i | ||||
\(751\) | −6.40060 | + | 5.37074i | −0.233561 | + | 0.195981i | −0.752055 | − | 0.659100i | \(-0.770937\pi\) |
0.518494 | + | 0.855081i | \(0.326493\pi\) | |||||||
\(752\) | −11.2733 | − | 6.50865i | −0.411095 | − | 0.237346i | ||||
\(753\) | 36.6072 | − | 21.1352i | 1.33404 | − | 0.770210i | ||||
\(754\) | −22.7732 | − | 8.28878i | −0.829352 | − | 0.301859i | ||||
\(755\) | 23.8323 | + | 21.0182i | 0.867345 | + | 0.764932i | ||||
\(756\) | −0.660554 | − | 3.74619i | −0.0240241 | − | 0.136248i | ||||
\(757\) | 4.74412 | + | 13.0344i | 0.172428 | + | 0.473742i | 0.995562 | − | 0.0941046i | \(-0.0299988\pi\) |
−0.823134 | + | 0.567847i | \(0.807777\pi\) | |||||||
\(758\) | 24.2594 | − | 28.9112i | 0.881142 | − | 1.05010i | ||||
\(759\) | 5.14317 | 0.186685 | ||||||||
\(760\) | −14.0761 | − | 1.67541i | −0.510595 | − | 0.0607735i | ||||
\(761\) | 44.3970 | 1.60939 | 0.804696 | − | 0.593687i | \(-0.202328\pi\) | ||||
0.804696 | + | 0.593687i | \(0.202328\pi\) | |||||||
\(762\) | −54.1672 | + | 64.5539i | −1.96227 | + | 2.33854i | ||||
\(763\) | 5.10239 | + | 14.0187i | 0.184719 | + | 0.507511i | ||||
\(764\) | 2.63631 | + | 14.9513i | 0.0953784 | + | 0.540918i | ||||
\(765\) | 8.07811 | − | 9.15965i | 0.292065 | − | 0.331168i | ||||
\(766\) | −25.4075 | − | 9.24758i | −0.918011 | − | 0.334129i | ||||
\(767\) | 1.95468 | − | 1.12854i | 0.0705796 | − | 0.0407491i | ||||
\(768\) | −42.1721 | − | 24.3481i | −1.52175 | − | 0.878585i | ||||
\(769\) | −14.5549 | + | 12.2130i | −0.524863 | + | 0.440412i | −0.866323 | − | 0.499484i | \(-0.833523\pi\) |
0.341460 | + | 0.939896i | \(0.389079\pi\) | |||||||
\(770\) | 1.24038 | + | 8.21114i | 0.0447001 | + | 0.295909i | ||||
\(771\) | −33.0718 | + | 57.2820i | −1.19105 | + | 2.06296i | ||||
\(772\) | −9.89342 | + | 5.71197i | −0.356072 | + | 0.205578i | ||||
\(773\) | −0.638682 | + | 1.75476i | −0.0229718 | + | 0.0631144i | −0.950648 | − | 0.310270i | \(-0.899581\pi\) |
0.927677 | + | 0.373384i | \(0.121803\pi\) | |||||||
\(774\) | −8.83152 | + | 50.0860i | −0.317442 | + | 1.80031i | ||||
\(775\) | 16.2866 | − | 12.3534i | 0.585032 | − | 0.443747i | ||||
\(776\) | 7.71714 | − | 2.80881i | 0.277029 | − | 0.100830i | ||||
\(777\) | −13.9287 | + | 16.5996i | −0.499691 | + | 0.595509i | ||||
\(778\) | − | 56.1252i | − | 2.01218i | ||||||
\(779\) | 1.78365 | − | 18.9473i | 0.0639060 | − | 0.678856i | ||||
\(780\) | −13.7014 | + | 22.4378i | −0.490588 | + | 0.803403i | ||||
\(781\) | −2.27077 | − | 1.90540i | −0.0812544 | − | 0.0681805i | ||||
\(782\) | −5.46279 | − | 15.0089i | −0.195349 | − | 0.536717i | ||||
\(783\) | −2.43302 | + | 0.429007i | −0.0869491 | + | 0.0153315i | ||||
\(784\) | 9.45938 | − | 53.6468i | 0.337835 | − | 1.91596i | ||||
\(785\) | −14.9629 | − | 18.7502i | −0.534047 | − | 0.669225i | ||||
\(786\) | 7.29614 | + | 12.6373i | 0.260245 | + | 0.450757i | ||||
\(787\) | 11.2314 | + | 6.48445i | 0.400356 | + | 0.231146i | 0.686638 | − | 0.727000i | \(-0.259086\pi\) |
−0.286282 | + | 0.958146i | \(0.592419\pi\) | |||||||
\(788\) | 2.36327 | + | 2.81644i | 0.0841881 | + | 0.100331i | ||||
\(789\) | 10.1535 | − | 8.51983i | 0.361475 | − | 0.303314i | ||||
\(790\) | 18.7127 | − | 10.1983i | 0.665769 | − | 0.362841i | ||||
\(791\) | −28.1016 | − | 48.6734i | −0.999178 | − | 1.73063i | ||||
\(792\) | −0.654978 | + | 1.79954i | −0.0232736 | + | 0.0639438i | ||||
\(793\) | −55.9164 | − | 9.85957i | −1.98565 | − | 0.350124i | ||||
\(794\) | −2.90865 | − | 16.4958i | −0.103224 | − | 0.585413i | ||||
\(795\) | −12.0568 | + | 59.7422i | −0.427611 | + | 2.11884i | ||||
\(796\) | 0.475962 | + | 0.399379i | 0.0168700 | + | 0.0141556i | ||||
\(797\) | 29.9226i | 1.05991i | 0.848025 | + | 0.529956i | \(0.177791\pi\) | ||||
−0.848025 | + | 0.529956i | \(0.822209\pi\) | |||||||
\(798\) | −20.8459 | + | 75.7951i | −0.737938 | + | 2.68312i | ||||
\(799\) | 5.33772 | 0.188835 | ||||||||
\(800\) | 29.0255 | + | 6.60491i | 1.02621 | + | 0.233519i | ||||
\(801\) | 10.9418 | − | 3.98250i | 0.386611 | − | 0.140715i | ||||
\(802\) | 10.8275 | − | 1.90918i | 0.382331 | − | 0.0674153i | ||||
\(803\) | −0.993061 | − | 0.175103i | −0.0350444 | − | 0.00617927i | ||||
\(804\) | −18.9988 | − | 6.91500i | −0.670036 | − | 0.243873i | ||||
\(805\) | 41.6496 | + | 1.02504i | 1.46796 | + | 0.0361281i | ||||
\(806\) | −15.1837 | + | 26.2989i | −0.534822 | + | 0.926339i | ||||
\(807\) | 7.09074 | + | 8.45041i | 0.249606 | + | 0.297469i | ||||
\(808\) | 3.08579 | + | 3.67750i | 0.108558 | + | 0.129374i | ||||
\(809\) | 21.2289 | − | 36.7696i | 0.746369 | − | 1.29275i | −0.203183 | − | 0.979141i | \(-0.565129\pi\) |
0.949552 | − | 0.313608i | \(-0.101538\pi\) | |||||||
\(810\) | −0.967323 | + | 39.3043i | −0.0339883 | + | 1.38101i | ||||
\(811\) | 29.2727 | + | 10.6544i | 1.02790 | + | 0.374126i | 0.800282 | − | 0.599623i | \(-0.204683\pi\) |
0.227621 | + | 0.973750i | \(0.426905\pi\) | |||||||
\(812\) | 16.1417 | + | 2.84622i | 0.566463 | + | 0.0998828i | ||||
\(813\) | 17.8611 | − | 3.14939i | 0.626415 | − | 0.110454i | ||||
\(814\) | 1.76537 | − | 0.642542i | 0.0618762 | − | 0.0225211i | ||||
\(815\) | 12.0733 | + | 35.8954i | 0.422909 | + | 1.25736i | ||||
\(816\) | 24.1028 | 0.843767 | ||||||||
\(817\) | −26.8114 | + | 37.7583i | −0.938014 | + | 1.32099i | ||||
\(818\) | 4.07767i | 0.142572i | ||||||||
\(819\) | −36.2531 | − | 30.4199i | −1.26678 | − | 1.06296i | ||||
\(820\) | −2.28875 | + | 11.3409i | −0.0799267 | + | 0.396042i | ||||
\(821\) | −1.07790 | − | 6.11310i | −0.0376191 | − | 0.213349i | 0.960204 | − | 0.279301i | \(-0.0901026\pi\) |
−0.997823 | + | 0.0659521i | \(0.978992\pi\) | |||||||
\(822\) | −2.54853 | − | 0.449375i | −0.0888903 | − | 0.0156738i | ||||
\(823\) | 12.3025 | − | 33.8009i | 0.428839 | − | 1.17823i | −0.517679 | − | 0.855575i | \(-0.673204\pi\) |
0.946518 | − | 0.322651i | \(-0.104574\pi\) | |||||||
\(824\) | 2.48383 | + | 4.30212i | 0.0865283 | + | 0.149871i | ||||
\(825\) | 0.287816 | − | 5.84375i | 0.0100205 | − | 0.203453i | ||||
\(826\) | −3.14292 | + | 2.63722i | −0.109356 | + | 0.0917606i | ||||
\(827\) | 9.88848 | + | 11.7846i | 0.343856 | + | 0.409792i | 0.910062 | − | 0.414472i | \(-0.136034\pi\) |
−0.566206 | + | 0.824264i | \(0.691589\pi\) | |||||||
\(828\) | −12.0997 | − | 6.98578i | −0.420494 | − | 0.242773i | ||||
\(829\) | −12.0970 | − | 20.9527i | −0.420148 | − | 0.727717i | 0.575806 | − | 0.817586i | \(-0.304688\pi\) |
−0.995954 | + | 0.0898693i | \(0.971355\pi\) | |||||||
\(830\) | 25.3148 | − | 20.2015i | 0.878691 | − | 0.701203i | ||||
\(831\) | −3.11920 | + | 17.6898i | −0.108204 | + | 0.613654i | ||||
\(832\) | −2.84293 | + | 0.501284i | −0.0985607 | + | 0.0173789i | ||||
\(833\) | 7.63975 | + | 20.9900i | 0.264702 | + | 0.727262i | ||||
\(834\) | 27.5642 | + | 23.1291i | 0.954469 | + | 0.800895i | ||||
\(835\) | 31.0243 | + | 18.9446i | 1.07364 | + | 0.655605i | ||||
\(836\) | 1.80483 | − | 1.78118i | 0.0624215 | − | 0.0616035i | ||||
\(837\) | 3.09573i | 0.107004i | ||||||||
\(838\) | 25.9827 | − | 30.9649i | 0.897556 | − | 1.06967i | ||||
\(839\) | 11.6771 | − | 4.25013i | 0.403139 | − | 0.146731i | −0.132489 | − | 0.991184i | \(-0.542297\pi\) |
0.535628 | + | 0.844454i | \(0.320075\pi\) | |||||||
\(840\) | −11.9960 | + | 30.5947i | −0.413901 | + | 1.05562i | ||||
\(841\) | −3.18727 | + | 18.0759i | −0.109906 | + | 0.623308i | ||||
\(842\) | 14.0372 | − | 38.5669i | 0.483754 | − | 1.32910i | ||||
\(843\) | −37.6855 | + | 21.7577i | −1.29796 | + | 0.749376i | ||||
\(844\) | −11.2960 | + | 19.5652i | −0.388824 | + | 0.673463i | ||||
\(845\) | −1.44358 | − | 9.55630i | −0.0496606 | − | 0.328747i | ||||
\(846\) | 9.61314 | − | 8.06638i | 0.330507 | − | 0.277328i | ||||
\(847\) | −39.4983 | − | 22.8043i | −1.35718 | − | 0.783566i | ||||
\(848\) | −49.1718 | + | 28.3894i | −1.68857 | + | 0.974895i | ||||
\(849\) | 69.2910 | + | 25.2199i | 2.37806 | + | 0.865543i | ||||
\(850\) | −17.3590 | + | 5.36699i | −0.595410 | + | 0.184086i | ||||
\(851\) | −1.63667 | − | 9.28199i | −0.0561042 | − | 0.318182i | ||||
\(852\) | 5.83441 | + | 16.0299i | 0.199883 | + | 0.549175i | ||||
\(853\) | 14.8823 | − | 17.7360i | 0.509560 | − | 0.607270i | −0.448519 | − | 0.893773i | \(-0.648049\pi\) |
0.958079 | + | 0.286503i | \(0.0924930\pi\) | |||||||
\(854\) | 103.210 | 3.53176 | ||||||||
\(855\) | 11.7829 | − | 23.3386i | 0.402965 | − | 0.798162i | ||||
\(856\) | 2.54882 | 0.0871167 | ||||||||
\(857\) | 1.82726 | − | 2.17765i | 0.0624181 | − | 0.0743870i | −0.733932 | − | 0.679223i | \(-0.762317\pi\) |
0.796350 | + | 0.604836i | \(0.206761\pi\) | |||||||
\(858\) | 2.97276 | + | 8.16760i | 0.101489 | + | 0.278837i | ||||
\(859\) | 4.49254 | + | 25.4785i | 0.153284 | + | 0.869314i | 0.960338 | + | 0.278838i | \(0.0899492\pi\) |
−0.807055 | + | 0.590477i | \(0.798940\pi\) | |||||||
\(860\) | 18.6214 | − | 21.1145i | 0.634985 | − | 0.720000i | ||||
\(861\) | −41.4581 | − | 15.0895i | −1.41289 | − | 0.514249i | ||||
\(862\) | −39.6161 | + | 22.8724i | −1.34933 | + | 0.779036i | ||||
\(863\) | −32.9118 | − | 19.0016i | −1.12033 | − | 0.646823i | −0.178844 | − | 0.983877i | \(-0.557236\pi\) |
−0.941485 | + | 0.337055i | \(0.890569\pi\) | |||||||
\(864\) | −3.45338 | + | 2.89773i | −0.117486 | + | 0.0985827i | ||||
\(865\) | −18.9948 | + | 2.86936i | −0.645843 | + | 0.0975613i | ||||
\(866\) | −2.10886 | + | 3.65266i | −0.0716621 | + | 0.124122i | ||||
\(867\) | 26.5357 | − | 15.3204i | 0.901198 | − | 0.520307i | ||||
\(868\) | 7.02455 | − | 19.2998i | 0.238429 | − | 0.655077i | ||||
\(869\) | 0.455217 | − | 2.58167i | 0.0154422 | − | 0.0875770i | ||||
\(870\) | −28.8957 | − | 11.3298i | −0.979655 | − | 0.384116i | ||||
\(871\) | 27.9909 | − | 10.1879i | 0.948437 | − | 0.345203i | ||||
\(872\) | 3.28997 | − | 3.92083i | 0.111412 | − | 0.132776i | ||||
\(873\) | 15.1464i | 0.512628i | ||||||||
\(874\) | −19.4264 | − | 28.1369i | −0.657108 | − | 0.951744i | ||||
\(875\) | 3.49542 | − | 47.2656i | 0.118167 | − | 1.59787i | ||||
\(876\) | 4.44534 | + | 3.73008i | 0.150194 | + | 0.126028i | ||||
\(877\) | −16.7912 | − | 46.1335i | −0.567000 | − | 1.55782i | −0.809164 | − | 0.587583i | \(-0.800079\pi\) |
0.242164 | − | 0.970235i | \(-0.422143\pi\) | |||||||
\(878\) | 11.1018 | − | 1.95755i | 0.374668 | − | 0.0660641i | ||||
\(879\) | 9.06489 | − | 51.4095i | 0.305751 | − | 1.73400i | ||||
\(880\) | 4.26043 | − | 3.39986i | 0.143619 | − | 0.114609i | ||||
\(881\) | 27.8747 | + | 48.2804i | 0.939123 | + | 1.62661i | 0.767112 | + | 0.641514i | \(0.221693\pi\) |
0.172011 | + | 0.985095i | \(0.444973\pi\) | |||||||
\(882\) | 45.4793 | + | 26.2575i | 1.53137 | + | 0.884135i | ||||
\(883\) | 10.6931 | + | 12.7435i | 0.359851 | + | 0.428853i | 0.915347 | − | 0.402666i | \(-0.131916\pi\) |
−0.555496 | + | 0.831519i | \(0.687472\pi\) | |||||||
\(884\) | 7.69345 | − | 6.45557i | 0.258759 | − | 0.217124i | ||||
\(885\) | 2.53817 | − | 1.38329i | 0.0853195 | − | 0.0464987i | ||||
\(886\) | −28.1307 | − | 48.7237i | −0.945068 | − | 1.63691i | ||||
\(887\) | 14.8397 | − | 40.7717i | 0.498267 | − | 1.36898i | −0.394680 | − | 0.918818i | \(-0.629145\pi\) |
0.892948 | − | 0.450160i | \(-0.148633\pi\) | |||||||
\(888\) | 7.32147 | + | 1.29097i | 0.245692 | + | 0.0433222i | ||||
\(889\) | 14.5811 | + | 82.6934i | 0.489034 | + | 2.77345i | ||||
\(890\) | −16.9811 | − | 3.42702i | −0.569207 | − | 0.114874i | ||||
\(891\) | 3.70480 | + | 3.10869i | 0.124115 | + | 0.104145i | ||||
\(892\) | 3.74820i | 0.125499i | ||||||||
\(893\) | 11.0564 | − | 2.88455i | 0.369989 | − | 0.0965276i | ||||
\(894\) | 19.7285 | 0.659819 | ||||||||
\(895\) | −49.8643 | + | 16.7717i | −1.66678 | + | 0.560615i | ||||
\(896\) | −42.5001 | + | 15.4688i | −1.41983 | + | 0.516776i | ||||
\(897\) | 42.9438 | − | 7.57214i | 1.43385 | − | 0.252827i | ||||
\(898\) | −26.5091 | − | 4.67426i | −0.884619 | − | 0.155982i | ||||
\(899\) | −12.5345 | − | 4.56220i | −0.418051 | − | 0.152158i | ||||
\(900\) | −8.61446 | + | 13.3570i | −0.287149 | + | 0.445232i | ||||
\(901\) | 11.6410 | − | 20.1628i | 0.387818 | − | 0.671721i | ||||
\(902\) | 2.45865 | + | 2.93010i | 0.0818640 | + | 0.0975617i | ||||
\(903\) | 69.0075 | + | 82.2399i | 2.29643 | + | 2.73677i | ||||
\(904\) | −9.64125 | + | 16.6991i | −0.320663 | + | 0.555405i | ||||
\(905\) | −37.1376 | − | 0.913997i | −1.23449 | − | 0.0303823i | ||||
\(906\) | −56.8107 | − | 20.6774i | −1.88741 | − | 0.686961i | ||||
\(907\) | 19.5350 | + | 3.44455i | 0.648649 | + | 0.114374i | 0.488286 | − | 0.872684i | \(-0.337622\pi\) |
0.160363 | + | 0.987058i | \(0.448733\pi\) | |||||||
\(908\) | 10.5580 | − | 1.86165i | 0.350378 | − | 0.0617812i | ||||
\(909\) | −8.32000 | + | 3.02823i | −0.275957 | + | 0.100440i | ||||
\(910\) | 22.4458 | + | 66.7342i | 0.744070 | + | 2.21222i | ||||
\(911\) | 15.4076 | 0.510478 | 0.255239 | − | 0.966878i | \(-0.417846\pi\) | ||||
0.255239 | + | 0.966878i | \(0.417846\pi\) | |||||||
\(912\) | 49.9259 | − | 13.0253i | 1.65321 | − | 0.431312i | ||||
\(913\) | − | 3.98395i | − | 0.131849i | ||||||
\(914\) | −27.5270 | − | 23.0979i | −0.910512 | − | 0.764010i | ||||
\(915\) | −71.2798 | − | 14.3852i | −2.35644 | − | 0.475562i | ||||
\(916\) | −3.68193 | − | 20.8812i | −0.121654 | − | 0.689936i | ||||
\(917\) | 14.3194 | + | 2.52490i | 0.472869 | + | 0.0833795i | ||||
\(918\) | 0.941127 | − | 2.58572i | 0.0310618 | − | 0.0853416i | ||||
\(919\) | −6.62805 | − | 11.4801i | −0.218639 | − | 0.378694i | 0.735753 | − | 0.677250i | \(-0.236828\pi\) |
−0.954392 | + | 0.298556i | \(0.903495\pi\) | |||||||
\(920\) | −6.84013 | − | 12.5508i | −0.225512 | − | 0.413788i | ||||
\(921\) | 9.96201 | − | 8.35912i | 0.328259 | − | 0.275442i | ||||
\(922\) | 8.58644 | + | 10.2329i | 0.282779 | + | 0.337003i | ||||
\(923\) | −21.7654 | − | 12.5663i | −0.716417 | − | 0.413624i | ||||
\(924\) | −2.93926 | − | 5.09095i | −0.0966947 | − | 0.167480i | ||||
\(925\) | −10.6379 | + | 1.34017i | −0.349773 | + | 0.0440647i | ||||
\(926\) | −6.69313 | + | 37.9586i | −0.219950 | + | 1.24740i | ||||
\(927\) | −9.02281 | + | 1.59096i | −0.296348 | + | 0.0522541i | ||||
\(928\) | −6.64358 | − | 18.2531i | −0.218086 | − | 0.599187i | ||||
\(929\) | −23.9018 | − | 20.0560i | −0.784193 | − | 0.658016i | 0.160108 | − | 0.987100i | \(-0.448816\pi\) |
−0.944301 | + | 0.329083i | \(0.893260\pi\) | |||||||
\(930\) | −20.2685 | + | 33.1924i | −0.664631 | + | 1.08842i | ||||
\(931\) | 27.1680 | + | 39.3496i | 0.890394 | + | 1.28963i | ||||
\(932\) | − | 7.63580i | − | 0.250119i | ||||||
\(933\) | −10.2618 | + | 12.2296i | −0.335958 | + | 0.400379i | ||||
\(934\) | −45.3648 | + | 16.5114i | −1.48438 | + | 0.540270i | ||||
\(935\) | −0.815876 | + | 2.08082i | −0.0266820 | + | 0.0680501i | ||||
\(936\) | −2.81944 | + | 15.9899i | −0.0921564 | + | 0.522645i | ||||
\(937\) | −5.54711 | + | 15.2405i | −0.181216 | + | 0.497887i | −0.996726 | − | 0.0808564i | \(-0.974234\pi\) |
0.815510 | + | 0.578743i | \(0.196457\pi\) | |||||||
\(938\) | −46.8916 | + | 27.0729i | −1.53107 | + | 0.883961i | ||||
\(939\) | −5.46216 | + | 9.46074i | −0.178251 | + | 0.308739i | ||||
\(940\) | −6.86860 | + | 1.03757i | −0.224029 | + | 0.0338419i | ||||
\(941\) | 26.9454 | − | 22.6099i | 0.878396 | − | 0.737062i | −0.0874525 | − | 0.996169i | \(-0.527873\pi\) |
0.965849 | + | 0.259107i | \(0.0834281\pi\) | |||||||
\(942\) | 39.5254 | + | 22.8200i | 1.28781 | + | 0.743516i | ||||
\(943\) | 16.6188 | − | 9.59486i | 0.541182 | − | 0.312452i | ||||
\(944\) | 2.53055 | + | 0.921045i | 0.0823624 | + | 0.0299775i | ||||
\(945\) | 5.38315 | + | 4.74753i | 0.175114 | + | 0.154437i | ||||
\(946\) | −1.61623 | − | 9.16612i | −0.0525483 | − | 0.298016i | ||||
\(947\) | 7.61965 | + | 20.9348i | 0.247605 | + | 0.680290i | 0.999773 | + | 0.0213182i | \(0.00678632\pi\) |
−0.752167 | + | 0.658972i | \(0.770991\pi\) | |||||||
\(948\) | −9.69713 | + | 11.5566i | −0.314948 | + | 0.375340i | ||||
\(949\) | −8.54953 | −0.277530 | ||||||||
\(950\) | −33.0567 | + | 20.4980i | −1.07250 | + | 0.665043i | ||||
\(951\) | 65.9811 | 2.13958 | ||||||||
\(952\) | 8.06934 | − | 9.61666i | 0.261529 | − | 0.311678i | ||||
\(953\) | −1.45699 | − | 4.00305i | −0.0471966 | − | 0.129672i | 0.913855 | − | 0.406041i | \(-0.133091\pi\) |
−0.961052 | + | 0.276369i | \(0.910869\pi\) | |||||||
\(954\) | −9.50487 | − | 53.9048i | −0.307732 | − | 1.74523i | ||||
\(955\) | −21.4845 | − | 18.9477i | −0.695222 | − | 0.613132i | ||||
\(956\) | 15.0049 | + | 5.46135i | 0.485294 | + | 0.176633i | ||||
\(957\) | −3.30640 | + | 1.90895i | −0.106881 | + | 0.0617076i | ||||
\(958\) | 58.8145 | + | 33.9566i | 1.90021 | + | 1.09709i | ||||
\(959\) | −1.97535 | + | 1.65751i | −0.0637873 | + | 0.0535239i | ||||
\(960\) | −3.65563 | + | 0.552220i | −0.117985 | + | 0.0178228i | ||||
\(961\) | 7.14280 | − | 12.3717i | 0.230413 | − | 0.399087i | ||||
\(962\) | 13.7943 | − | 7.96412i | 0.444745 | − | 0.256773i | ||||
\(963\) | −1.60779 | + | 4.41736i | −0.0518102 | + | 0.142347i | ||||
\(964\) | 3.62907 | − | 20.5815i | 0.116885 | − | 0.662885i | ||||
\(965\) | 7.86848 | − | 20.0678i | 0.253295 | − | 0.646007i | ||||
\(966\) | −74.4848 | + | 27.1102i | −2.39651 | + | 0.872258i | ||||
\(967\) | 0.783596 | − | 0.933854i | 0.0251988 | − | 0.0300307i | −0.753298 | − | 0.657679i | \(-0.771538\pi\) |
0.778497 | + | 0.627649i | \(0.215983\pi\) | |||||||
\(968\) | 15.6477i | 0.502935i | ||||||||
\(969\) | −15.0588 | + | 14.8615i | −0.483758 | + | 0.477419i | ||||
\(970\) | 11.7438 | − | 19.2319i | 0.377069 | − | 0.617500i | ||||
\(971\) | −3.32466 | − | 2.78972i | −0.106693 | − | 0.0895264i | 0.587880 | − | 0.808948i | \(-0.299963\pi\) |
−0.694574 | + | 0.719421i | \(0.744407\pi\) | |||||||
\(972\) | −8.59821 | − | 23.6234i | −0.275788 | − | 0.757720i | ||||
\(973\) | 35.3096 | − | 6.22604i | 1.13197 | − | 0.199598i | ||||
\(974\) | 5.68222 | − | 32.2255i | 0.182070 | − | 1.03257i | ||||
\(975\) | −6.20041 | − | 49.2171i | −0.198572 | − | 1.57621i | ||||
\(976\) | −33.8720 | − | 58.6680i | −1.08422 | − | 1.87792i | ||||
\(977\) | −18.6429 | − | 10.7635i | −0.596440 | − | 0.344355i | 0.171200 | − | 0.985236i | \(-0.445236\pi\) |
−0.767640 | + | 0.640882i | \(0.778569\pi\) | |||||||
\(978\) | −46.3146 | − | 55.1956i | −1.48098 | − | 1.76496i | ||||
\(979\) | −1.63240 | + | 1.36975i | −0.0521718 | + | 0.0437773i | ||||
\(980\) | −13.9110 | − | 25.5250i | −0.444371 | − | 0.815367i | ||||
\(981\) | 4.71990 | + | 8.17510i | 0.150695 | + | 0.261011i | ||||
\(982\) | 9.19713 | − | 25.2689i | 0.293492 | − | 0.806363i | ||||
\(983\) | −14.3780 | − | 2.53522i | −0.458586 | − | 0.0808611i | −0.0604172 | − | 0.998173i | \(-0.519243\pi\) |
−0.398169 | + | 0.917312i | \(0.630354\pi\) | |||||||
\(984\) | 2.62843 | + | 14.9066i | 0.0837912 | + | 0.475204i | ||||
\(985\) | −6.80011 | − | 1.37236i | −0.216669 | − | 0.0437269i | ||||
\(986\) | 9.08261 | + | 7.62121i | 0.289249 | + | 0.242709i | ||||
\(987\) | − | 26.4896i | − | 0.843172i | ||||||
\(988\) | 12.4474 | − | 17.5295i | 0.396004 | − | 0.557688i | ||||
\(989\) | −46.6954 | −1.48483 | ||||||||
\(990\) | 1.67516 | + | 4.98047i | 0.0532402 | + | 0.158290i | ||||
\(991\) | −30.0031 | + | 10.9202i | −0.953080 | + | 0.346893i | −0.771318 | − | 0.636450i | \(-0.780402\pi\) |
−0.181762 | + | 0.983343i | \(0.558180\pi\) | |||||||
\(992\) | −23.9701 | + | 4.22658i | −0.761052 | + | 0.134194i | ||||
\(993\) | −33.1713 | − | 5.84900i | −1.05266 | − | 0.185612i | ||||
\(994\) | 42.9294 | + | 15.6250i | 1.36164 | + | 0.495596i | ||||
\(995\) | −1.17199 | − | 0.0288441i | −0.0371547 | − | 0.000914418i | ||||
\(996\) | −11.4633 | + | 19.8551i | −0.363229 | + | 0.629132i | ||||
\(997\) | 35.4698 | + | 42.2712i | 1.12334 | + | 1.33874i | 0.934182 | + | 0.356797i | \(0.116131\pi\) |
0.189157 | + | 0.981947i | \(0.439424\pi\) | |||||||
\(998\) | 39.6117 | + | 47.2073i | 1.25389 | + | 1.49432i | ||||
\(999\) | 0.811883 | − | 1.40622i | 0.0256868 | − | 0.0444909i |
(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 | 95.2.p.a.54.7 | yes | 48 | |
3.2 | odd | 2 | 855.2.da.b.244.2 | 48 | |||
5.2 | odd | 4 | 475.2.l.f.301.7 | 48 | |||
5.3 | odd | 4 | 475.2.l.f.301.2 | 48 | |||
5.4 | even | 2 | inner | 95.2.p.a.54.2 | yes | 48 | |
15.14 | odd | 2 | 855.2.da.b.244.7 | 48 | |||
19.5 | even | 9 | 1805.2.b.k.1084.5 | 24 | |||
19.6 | even | 9 | inner | 95.2.p.a.44.2 | ✓ | 48 | |
19.14 | odd | 18 | 1805.2.b.l.1084.20 | 24 | |||
57.44 | odd | 18 | 855.2.da.b.424.7 | 48 | |||
95.14 | odd | 18 | 1805.2.b.l.1084.5 | 24 | |||
95.24 | even | 18 | 1805.2.b.k.1084.20 | 24 | |||
95.33 | even | 36 | 9025.2.a.ct.1.20 | 24 | |||
95.43 | odd | 36 | 9025.2.a.cu.1.5 | 24 | |||
95.44 | even | 18 | inner | 95.2.p.a.44.7 | yes | 48 | |
95.52 | even | 36 | 9025.2.a.ct.1.5 | 24 | |||
95.62 | odd | 36 | 9025.2.a.cu.1.20 | 24 | |||
95.63 | odd | 36 | 475.2.l.f.101.2 | 48 | |||
95.82 | odd | 36 | 475.2.l.f.101.7 | 48 | |||
285.44 | odd | 18 | 855.2.da.b.424.2 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
95.2.p.a.44.2 | ✓ | 48 | 19.6 | even | 9 | inner | |
95.2.p.a.44.7 | yes | 48 | 95.44 | even | 18 | inner | |
95.2.p.a.54.2 | yes | 48 | 5.4 | even | 2 | inner | |
95.2.p.a.54.7 | yes | 48 | 1.1 | even | 1 | trivial | |
475.2.l.f.101.2 | 48 | 95.63 | odd | 36 | |||
475.2.l.f.101.7 | 48 | 95.82 | odd | 36 | |||
475.2.l.f.301.2 | 48 | 5.3 | odd | 4 | |||
475.2.l.f.301.7 | 48 | 5.2 | odd | 4 | |||
855.2.da.b.244.2 | 48 | 3.2 | odd | 2 | |||
855.2.da.b.244.7 | 48 | 15.14 | odd | 2 | |||
855.2.da.b.424.2 | 48 | 285.44 | odd | 18 | |||
855.2.da.b.424.7 | 48 | 57.44 | odd | 18 | |||
1805.2.b.k.1084.5 | 24 | 19.5 | even | 9 | |||
1805.2.b.k.1084.20 | 24 | 95.24 | even | 18 | |||
1805.2.b.l.1084.5 | 24 | 95.14 | odd | 18 | |||
1805.2.b.l.1084.20 | 24 | 19.14 | odd | 18 | |||
9025.2.a.ct.1.5 | 24 | 95.52 | even | 36 | |||
9025.2.a.ct.1.20 | 24 | 95.33 | even | 36 | |||
9025.2.a.cu.1.5 | 24 | 95.43 | odd | 36 | |||
9025.2.a.cu.1.20 | 24 | 95.62 | odd | 36 |