Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(9,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.j (of order \(10\), degree \(4\), not 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 7x^{14} + 25x^{12} - 57x^{10} + 194x^{8} - 303x^{6} + 235x^{4} - 33x^{2} + 121 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 124.3 | ||
Root | \(0.471815 - 0.649397i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 605.124 |
Dual form | 605.2.j.g.444.3 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.471815 | + | 0.649397i | 0.333623 | + | 0.459193i | 0.942565 | − | 0.334022i | \(-0.108406\pi\) |
−0.608942 | + | 0.793215i | \(0.708406\pi\) | |||||||
\(3\) | 1.67457 | − | 0.544099i | 0.966811 | − | 0.314136i | 0.217283 | − | 0.976109i | \(-0.430281\pi\) |
0.749528 | + | 0.661973i | \(0.230281\pi\) | |||||||
\(4\) | 0.418926 | − | 1.28932i | 0.209463 | − | 0.644661i | ||||
\(5\) | 2.07703 | − | 0.828231i | 0.928874 | − | 0.370396i | ||||
\(6\) | 1.14342 | + | 0.830744i | 0.466800 | + | 0.339150i | ||||
\(7\) | −0.563124 | − | 0.182970i | −0.212841 | − | 0.0691561i | 0.200656 | − | 0.979662i | \(-0.435693\pi\) |
−0.413497 | + | 0.910506i | \(0.635693\pi\) | |||||||
\(8\) | 2.56176 | − | 0.832367i | 0.905720 | − | 0.294286i | ||||
\(9\) | 0.0810736 | − | 0.0589034i | 0.0270245 | − | 0.0196345i | ||||
\(10\) | 1.51782 | + | 0.958043i | 0.479977 | + | 0.302960i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | − | 2.38699i | − | 0.689065i | ||||||
\(13\) | 1.05501 | + | 1.45210i | 0.292607 | + | 0.402739i | 0.929859 | − | 0.367917i | \(-0.119929\pi\) |
−0.637252 | + | 0.770656i | \(0.719929\pi\) | |||||||
\(14\) | −0.146870 | − | 0.452019i | −0.0392526 | − | 0.120807i | ||||
\(15\) | 3.02747 | − | 2.51703i | 0.781691 | − | 0.649895i | ||||
\(16\) | −0.444313 | − | 0.322812i | −0.111078 | − | 0.0807031i | ||||
\(17\) | −4.15982 | + | 5.72551i | −1.00891 | + | 1.38864i | −0.0892075 | + | 0.996013i | \(0.528433\pi\) |
−0.919698 | + | 0.392626i | \(0.871567\pi\) | |||||||
\(18\) | 0.0765034 | + | 0.0248575i | 0.0180320 | + | 0.00585896i | ||||
\(19\) | −0.706673 | − | 2.17492i | −0.162122 | − | 0.498960i | 0.836691 | − | 0.547676i | \(-0.184487\pi\) |
−0.998813 | + | 0.0487157i | \(0.984487\pi\) | |||||||
\(20\) | −0.197736 | − | 3.02492i | −0.0442151 | − | 0.676394i | ||||
\(21\) | −1.04254 | −0.227501 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | − | 1.49081i | − | 0.310855i | −0.987847 | − | 0.155428i | \(-0.950324\pi\) | ||
0.987847 | − | 0.155428i | \(-0.0496756\pi\) | |||||||
\(24\) | 3.83695 | − | 2.78771i | 0.783214 | − | 0.569038i | ||||
\(25\) | 3.62807 | − | 3.44051i | 0.725614 | − | 0.688102i | ||||
\(26\) | −0.445218 | + | 1.37024i | −0.0873145 | + | 0.268726i | ||||
\(27\) | −3.00110 | + | 4.13066i | −0.577562 | + | 0.794946i | ||||
\(28\) | −0.471815 | + | 0.649397i | −0.0891646 | + | 0.122725i | ||||
\(29\) | 1.10489 | − | 3.40050i | 0.205173 | − | 0.631456i | −0.794534 | − | 0.607220i | \(-0.792285\pi\) |
0.999706 | − | 0.0242362i | \(-0.00771537\pi\) | |||||||
\(30\) | 3.06296 | + | 0.778460i | 0.559218 | + | 0.142127i | ||||
\(31\) | −4.98940 | + | 3.62501i | −0.896122 | + | 0.651071i | −0.937467 | − | 0.348074i | \(-0.886836\pi\) |
0.0413447 | + | 0.999145i | \(0.486836\pi\) | |||||||
\(32\) | − | 5.82804i | − | 1.03026i | ||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −5.68079 | −0.974248 | ||||||||
\(35\) | −1.32116 | + | 0.0863629i | −0.223317 | + | 0.0145980i | ||||
\(36\) | −0.0419817 | − | 0.129206i | −0.00699694 | − | 0.0215344i | ||||
\(37\) | 6.97831 | + | 2.26739i | 1.14723 | + | 0.372757i | 0.820098 | − | 0.572223i | \(-0.193919\pi\) |
0.327129 | + | 0.944980i | \(0.393919\pi\) | |||||||
\(38\) | 1.07897 | − | 1.48507i | 0.175031 | − | 0.240910i | ||||
\(39\) | 2.55677 | + | 1.85760i | 0.409410 | + | 0.297454i | ||||
\(40\) | 4.63145 | − | 3.85058i | 0.732297 | − | 0.608830i | ||||
\(41\) | −2.59890 | − | 7.99858i | −0.405879 | − | 1.24917i | −0.920159 | − | 0.391545i | \(-0.871941\pi\) |
0.514280 | − | 0.857623i | \(-0.328059\pi\) | |||||||
\(42\) | −0.491886 | − | 0.677023i | −0.0758997 | − | 0.104467i | ||||
\(43\) | 9.51936i | 1.45169i | 0.687859 | + | 0.725844i | \(0.258551\pi\) | ||||
−0.687859 | + | 0.725844i | \(0.741449\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.119606 | − | 0.189492i | 0.0178299 | − | 0.0282477i | ||||
\(46\) | 0.968128 | − | 0.703386i | 0.142743 | − | 0.103709i | ||||
\(47\) | −1.83711 | + | 0.596914i | −0.267970 | + | 0.0870688i | −0.439920 | − | 0.898037i | \(-0.644993\pi\) |
0.171950 | + | 0.985106i | \(0.444993\pi\) | |||||||
\(48\) | −0.919674 | − | 0.298820i | −0.132743 | − | 0.0431310i | ||||
\(49\) | −5.37949 | − | 3.90843i | −0.768498 | − | 0.558347i | ||||
\(50\) | 3.94603 | + | 0.732773i | 0.558054 | + | 0.103630i | ||||
\(51\) | −3.85065 | + | 11.8511i | −0.539199 | + | 1.65948i | ||||
\(52\) | 2.31419 | − | 0.751927i | 0.320921 | − | 0.104273i | ||||
\(53\) | 1.40064 | + | 1.92781i | 0.192392 | + | 0.264806i | 0.894305 | − | 0.447457i | \(-0.147670\pi\) |
−0.701913 | + | 0.712263i | \(0.747670\pi\) | |||||||
\(54\) | −4.09840 | −0.557722 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −1.59489 | −0.213126 | ||||||||
\(57\) | −2.36674 | − | 3.25754i | −0.313482 | − | 0.431471i | ||||
\(58\) | 2.72957 | − | 0.886893i | 0.358411 | − | 0.116455i | ||||
\(59\) | 0.0118285 | − | 0.0364043i | 0.00153994 | − | 0.00473944i | −0.950284 | − | 0.311386i | \(-0.899207\pi\) |
0.951824 | + | 0.306646i | \(0.0992069\pi\) | |||||||
\(60\) | −1.97698 | − | 4.95784i | −0.255227 | − | 0.640055i | ||||
\(61\) | −2.78430 | − | 2.02291i | −0.356493 | − | 0.259007i | 0.395095 | − | 0.918640i | \(-0.370712\pi\) |
−0.751588 | + | 0.659633i | \(0.770712\pi\) | |||||||
\(62\) | −4.70814 | − | 1.52977i | −0.597935 | − | 0.194281i | ||||
\(63\) | −0.0564320 | + | 0.0183359i | −0.00710977 | + | 0.00231010i | ||||
\(64\) | 2.89608 | − | 2.10413i | 0.362010 | − | 0.263016i | ||||
\(65\) | 3.39395 | + | 2.14225i | 0.420968 | + | 0.265713i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.79162i | 0.829728i | 0.909883 | + | 0.414864i | \(0.136171\pi\) | ||||
−0.909883 | + | 0.414864i | \(0.863829\pi\) | |||||||
\(68\) | 5.63937 | + | 7.76192i | 0.683874 | + | 0.941271i | ||||
\(69\) | −0.811149 | − | 2.49646i | −0.0976508 | − | 0.300538i | ||||
\(70\) | −0.679428 | − | 0.817212i | −0.0812072 | − | 0.0976756i | ||||
\(71\) | 9.54114 | + | 6.93205i | 1.13233 | + | 0.822683i | 0.986032 | − | 0.166559i | \(-0.0532655\pi\) |
0.146294 | + | 0.989241i | \(0.453265\pi\) | |||||||
\(72\) | 0.158662 | − | 0.218380i | 0.0186985 | − | 0.0257363i | ||||
\(73\) | 6.48882 | + | 2.10835i | 0.759459 | + | 0.246763i | 0.663046 | − | 0.748578i | \(-0.269263\pi\) |
0.0964127 | + | 0.995341i | \(0.469263\pi\) | |||||||
\(74\) | 1.82003 | + | 5.60148i | 0.211574 | + | 0.651159i | ||||
\(75\) | 4.20346 | − | 7.73539i | 0.485373 | − | 0.893206i | ||||
\(76\) | −3.10021 | −0.355619 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 2.53680i | 0.287236i | ||||||||
\(79\) | −3.66165 | + | 2.66035i | −0.411968 | + | 0.299313i | −0.774398 | − | 0.632699i | \(-0.781947\pi\) |
0.362430 | + | 0.932011i | \(0.381947\pi\) | |||||||
\(80\) | −1.19021 | − | 0.302496i | −0.133070 | − | 0.0338201i | ||||
\(81\) | −2.87095 | + | 8.83588i | −0.318995 | + | 0.981765i | ||||
\(82\) | 3.96806 | − | 5.46156i | 0.438198 | − | 0.603128i | ||||
\(83\) | 3.49299 | − | 4.80768i | 0.383405 | − | 0.527712i | −0.573077 | − | 0.819501i | \(-0.694251\pi\) |
0.956483 | + | 0.291789i | \(0.0942506\pi\) | |||||||
\(84\) | −0.436748 | + | 1.34417i | −0.0476531 | + | 0.146661i | ||||
\(85\) | −3.89802 | + | 15.3373i | −0.422800 | + | 1.66357i | ||||
\(86\) | −6.18185 | + | 4.49137i | −0.666606 | + | 0.484317i | ||||
\(87\) | − | 6.29552i | − | 0.674951i | ||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 6.21375 | 0.658656 | 0.329328 | − | 0.944216i | \(-0.393178\pi\) | ||||
0.329328 | + | 0.944216i | \(0.393178\pi\) | |||||||
\(90\) | 0.179487 | − | 0.0117329i | 0.0189196 | − | 0.00123675i | ||||
\(91\) | −0.328411 | − | 1.01074i | −0.0344268 | − | 0.105955i | ||||
\(92\) | −1.92214 | − | 0.624540i | −0.200396 | − | 0.0651128i | ||||
\(93\) | −6.38271 | + | 8.78504i | −0.661856 | + | 0.910967i | ||||
\(94\) | −1.25441 | − | 0.911382i | −0.129383 | − | 0.0940019i | ||||
\(95\) | −3.26911 | − | 3.93207i | −0.335404 | − | 0.403422i | ||||
\(96\) | −3.17103 | − | 9.75943i | −0.323642 | − | 0.996067i | ||||
\(97\) | 3.15976 | + | 4.34904i | 0.320825 | + | 0.441578i | 0.938719 | − | 0.344684i | \(-0.112014\pi\) |
−0.617894 | + | 0.786262i | \(0.712014\pi\) | |||||||
\(98\) | − | 5.33748i | − | 0.539167i | ||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.91604 | − | 6.11907i | −0.291604 | − | 0.611907i | ||||
\(101\) | −8.03459 | + | 5.83747i | −0.799472 | + | 0.580850i | −0.910759 | − | 0.412938i | \(-0.864503\pi\) |
0.111287 | + | 0.993788i | \(0.464503\pi\) | |||||||
\(102\) | −9.51286 | + | 3.09092i | −0.941913 | + | 0.306046i | ||||
\(103\) | −12.8596 | − | 4.17833i | −1.26709 | − | 0.411703i | −0.403076 | − | 0.915166i | \(-0.632059\pi\) |
−0.864017 | + | 0.503463i | \(0.832059\pi\) | |||||||
\(104\) | 3.91136 | + | 2.84177i | 0.383541 | + | 0.278658i | ||||
\(105\) | −2.16538 | + | 0.863464i | −0.211320 | + | 0.0842655i | ||||
\(106\) | −0.591075 | + | 1.81914i | −0.0574103 | + | 0.176691i | ||||
\(107\) | −5.33010 | + | 1.73185i | −0.515280 | + | 0.167425i | −0.555102 | − | 0.831782i | \(-0.687321\pi\) |
0.0398221 | + | 0.999207i | \(0.487321\pi\) | |||||||
\(108\) | 4.06852 | + | 5.59983i | 0.391493 | + | 0.538844i | ||||
\(109\) | 18.6001 | 1.78157 | 0.890784 | − | 0.454428i | \(-0.150156\pi\) | ||||
0.890784 | + | 0.454428i | \(0.150156\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 12.9193 | 1.22625 | ||||||||
\(112\) | 0.191138 | + | 0.263079i | 0.0180609 | + | 0.0248587i | ||||
\(113\) | −11.2238 | + | 3.64683i | −1.05584 | + | 0.343065i | −0.784960 | − | 0.619547i | \(-0.787316\pi\) |
−0.270885 | + | 0.962612i | \(0.587316\pi\) | |||||||
\(114\) | 0.998773 | − | 3.07391i | 0.0935437 | − | 0.287898i | ||||
\(115\) | −1.23473 | − | 3.09645i | −0.115140 | − | 0.288745i | ||||
\(116\) | −3.92147 | − | 2.84912i | −0.364099 | − | 0.264534i | ||||
\(117\) | 0.171067 | + | 0.0555830i | 0.0158151 | + | 0.00513865i | ||||
\(118\) | 0.0292217 | − | 0.00949471i | 0.00269008 | − | 0.000874059i | ||||
\(119\) | 3.39009 | − | 2.46304i | 0.310769 | − | 0.225787i | ||||
\(120\) | 5.66057 | − | 8.96801i | 0.516737 | − | 0.818664i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | − | 2.76255i | − | 0.250110i | ||||||
\(123\) | −8.70404 | − | 11.9801i | −0.784817 | − | 1.08021i | ||||
\(124\) | 2.58362 | + | 7.95156i | 0.232016 | + | 0.714071i | ||||
\(125\) | 4.68605 | − | 10.1509i | 0.419133 | − | 0.907925i | ||||
\(126\) | −0.0385327 | − | 0.0279957i | −0.00343277 | − | 0.00249405i | ||||
\(127\) | 9.43784 | − | 12.9901i | 0.837473 | − | 1.15268i | −0.149013 | − | 0.988835i | \(-0.547610\pi\) |
0.986486 | − | 0.163847i | \(-0.0523904\pi\) | |||||||
\(128\) | −8.35275 | − | 2.71397i | −0.738286 | − | 0.239884i | ||||
\(129\) | 5.17948 | + | 15.9408i | 0.456027 | + | 1.40351i | ||||
\(130\) | 0.210146 | + | 3.21477i | 0.0184310 | + | 0.281954i | ||||
\(131\) | −18.0296 | −1.57525 | −0.787625 | − | 0.616154i | \(-0.788690\pi\) | ||||
−0.787625 | + | 0.616154i | \(0.788690\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.35405i | 0.117411i | ||||||||
\(134\) | −4.41046 | + | 3.20438i | −0.381005 | + | 0.276817i | ||||
\(135\) | −2.81222 | + | 11.0651i | −0.242038 | + | 0.952331i | ||||
\(136\) | −5.89076 | + | 18.1299i | −0.505128 | + | 1.55463i | ||||
\(137\) | −2.36999 | + | 3.26202i | −0.202482 | + | 0.278693i | −0.898167 | − | 0.439654i | \(-0.855101\pi\) |
0.695685 | + | 0.718347i | \(0.255101\pi\) | |||||||
\(138\) | 1.23848 | − | 1.70462i | 0.105427 | − | 0.145107i | ||||
\(139\) | 2.45203 | − | 7.54656i | 0.207978 | − | 0.640091i | −0.791600 | − | 0.611040i | \(-0.790752\pi\) |
0.999578 | − | 0.0290509i | \(-0.00924848\pi\) | |||||||
\(140\) | −0.442120 | + | 1.73959i | −0.0373660 | + | 0.147022i | ||||
\(141\) | −2.75158 | + | 1.99914i | −0.231725 | + | 0.168358i | ||||
\(142\) | 9.46663i | 0.794422i | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −0.0550368 | −0.00458640 | ||||||||
\(145\) | −0.521514 | − | 7.97802i | −0.0433094 | − | 0.662538i | ||||
\(146\) | 1.69237 | + | 5.20857i | 0.140061 | + | 0.431064i | ||||
\(147\) | −11.1349 | − | 3.61794i | −0.918389 | − | 0.298403i | ||||
\(148\) | 5.84679 | − | 8.04742i | 0.480604 | − | 0.661494i | ||||
\(149\) | −10.1134 | − | 7.34783i | −0.828524 | − | 0.601958i | 0.0906173 | − | 0.995886i | \(-0.471116\pi\) |
−0.919141 | + | 0.393928i | \(0.871116\pi\) | |||||||
\(150\) | 7.00659 | − | 0.919957i | 0.572086 | − | 0.0751142i | ||||
\(151\) | −2.59651 | − | 7.99123i | −0.211301 | − | 0.650317i | −0.999396 | − | 0.0347632i | \(-0.988932\pi\) |
0.788095 | − | 0.615554i | \(-0.211068\pi\) | |||||||
\(152\) | −3.62066 | − | 4.98341i | −0.293674 | − | 0.404208i | ||||
\(153\) | 0.709215i | 0.0573367i | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −7.36076 | + | 11.6616i | −0.591231 | + | 0.936683i | ||||
\(156\) | 3.46614 | − | 2.51830i | 0.277514 | − | 0.201625i | ||||
\(157\) | 13.3109 | − | 4.32496i | 1.06232 | − | 0.345170i | 0.274830 | − | 0.961493i | \(-0.411379\pi\) |
0.787493 | + | 0.616323i | \(0.211379\pi\) | |||||||
\(158\) | −3.45524 | − | 1.12268i | −0.274885 | − | 0.0893154i | ||||
\(159\) | 3.39438 | + | 2.46616i | 0.269192 | + | 0.195579i | ||||
\(160\) | −4.82696 | − | 12.1050i | −0.381605 | − | 0.956983i | ||||
\(161\) | −0.272773 | + | 0.839510i | −0.0214976 | + | 0.0661627i | ||||
\(162\) | −7.09255 | + | 2.30451i | −0.557244 | + | 0.181059i | ||||
\(163\) | −6.96025 | − | 9.57996i | −0.545169 | − | 0.750360i | 0.444178 | − | 0.895939i | \(-0.353496\pi\) |
−0.989347 | + | 0.145578i | \(0.953496\pi\) | |||||||
\(164\) | −11.4015 | −0.890307 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.77014 | 0.370235 | ||||||||
\(167\) | −5.12918 | − | 7.05971i | −0.396908 | − | 0.546297i | 0.563057 | − | 0.826418i | \(-0.309625\pi\) |
−0.959965 | + | 0.280121i | \(0.909625\pi\) | |||||||
\(168\) | −2.67074 | + | 0.867777i | −0.206052 | + | 0.0669504i | ||||
\(169\) | 3.02168 | − | 9.29978i | 0.232437 | − | 0.715368i | ||||
\(170\) | −11.7992 | + | 4.70501i | −0.904954 | + | 0.360858i | ||||
\(171\) | −0.185402 | − | 0.134703i | −0.0141781 | − | 0.0103010i | ||||
\(172\) | 12.2735 | + | 3.98791i | 0.935848 | + | 0.304075i | ||||
\(173\) | −8.72938 | + | 2.83635i | −0.663682 | + | 0.215643i | −0.621437 | − | 0.783464i | \(-0.713451\pi\) |
−0.0422448 | + | 0.999107i | \(0.513451\pi\) | |||||||
\(174\) | 4.08829 | − | 2.97032i | 0.309933 | − | 0.225179i | ||||
\(175\) | −2.67256 | + | 1.27361i | −0.202027 | + | 0.0962755i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − | 0.0673973i | − | 0.00506589i | ||||||
\(178\) | 2.93174 | + | 4.03519i | 0.219743 | + | 0.302450i | ||||
\(179\) | −0.447507 | − | 1.37729i | −0.0334483 | − | 0.102943i | 0.932939 | − | 0.360036i | \(-0.117235\pi\) |
−0.966387 | + | 0.257093i | \(0.917235\pi\) | |||||||
\(180\) | −0.194210 | − | 0.233594i | −0.0144755 | − | 0.0174111i | ||||
\(181\) | −0.641957 | − | 0.466409i | −0.0477163 | − | 0.0346679i | 0.563671 | − | 0.825999i | \(-0.309388\pi\) |
−0.611388 | + | 0.791331i | \(0.709388\pi\) | |||||||
\(182\) | 0.501426 | − | 0.690153i | 0.0371681 | − | 0.0511576i | ||||
\(183\) | −5.76315 | − | 1.87256i | −0.426024 | − | 0.138424i | ||||
\(184\) | −1.24090 | − | 3.81910i | −0.0914804 | − | 0.281548i | ||||
\(185\) | 16.3720 | − | 1.07022i | 1.20370 | − | 0.0786843i | ||||
\(186\) | −8.71644 | −0.639120 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 2.61869i | 0.190988i | ||||||||
\(189\) | 2.44578 | − | 1.77696i | 0.177904 | − | 0.129255i | ||||
\(190\) | 1.01106 | − | 3.97816i | 0.0733500 | − | 0.288606i | ||||
\(191\) | −2.51858 | + | 7.75139i | −0.182238 | + | 0.560871i | −0.999890 | − | 0.0148421i | \(-0.995275\pi\) |
0.817652 | + | 0.575713i | \(0.195275\pi\) | |||||||
\(192\) | 3.70483 | − | 5.09926i | 0.267373 | − | 0.368007i | ||||
\(193\) | 2.56766 | − | 3.53408i | 0.184824 | − | 0.254389i | −0.706544 | − | 0.707670i | \(-0.749747\pi\) |
0.891368 | + | 0.453281i | \(0.149747\pi\) | |||||||
\(194\) | −1.33343 | + | 4.10388i | −0.0957348 | + | 0.294642i | ||||
\(195\) | 6.84899 | + | 1.74069i | 0.490466 | + | 0.124653i | ||||
\(196\) | −7.29283 | + | 5.29855i | −0.520917 | + | 0.378468i | ||||
\(197\) | 15.6525i | 1.11520i | 0.830111 | + | 0.557599i | \(0.188277\pi\) | ||||
−0.830111 | + | 0.557599i | \(0.811723\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.43830 | −0.101959 | −0.0509793 | − | 0.998700i | \(-0.516234\pi\) | ||||
−0.0509793 | + | 0.998700i | \(0.516234\pi\) | |||||||
\(200\) | 6.43048 | − | 11.8337i | 0.454704 | − | 0.836766i | ||||
\(201\) | 3.69531 | + | 11.3730i | 0.260647 | + | 0.802190i | ||||
\(202\) | −7.58168 | − | 2.46344i | −0.533445 | − | 0.173327i | ||||
\(203\) | −1.24438 | + | 1.71274i | −0.0873381 | + | 0.120211i | ||||
\(204\) | 13.6667 | + | 9.92947i | 0.956863 | + | 0.695202i | ||||
\(205\) | −12.0226 | − | 14.4608i | −0.839697 | − | 1.00998i | ||||
\(206\) | −3.35394 | − | 10.3224i | −0.233680 | − | 0.719194i | ||||
\(207\) | −0.0878138 | − | 0.120865i | −0.00610348 | − | 0.00840072i | ||||
\(208\) | − | 0.985756i | − | 0.0683499i | ||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −1.58239 | − | 0.998799i | −0.109195 | − | 0.0689237i | ||||
\(211\) | 7.02332 | − | 5.10274i | 0.483505 | − | 0.351287i | −0.319176 | − | 0.947696i | \(-0.603406\pi\) |
0.802681 | + | 0.596408i | \(0.203406\pi\) | |||||||
\(212\) | 3.07234 | − | 0.998263i | 0.211009 | − | 0.0685610i | ||||
\(213\) | 19.7490 | + | 6.41684i | 1.35318 | + | 0.439674i | ||||
\(214\) | −3.63948 | − | 2.64424i | −0.248790 | − | 0.180756i | ||||
\(215\) | 7.88422 | + | 19.7720i | 0.537700 | + | 1.34844i | ||||
\(216\) | −4.24988 | + | 13.0798i | −0.289168 | + | 0.889967i | ||||
\(217\) | 3.47292 | − | 1.12842i | 0.235757 | − | 0.0766020i | ||||
\(218\) | 8.77580 | + | 12.0789i | 0.594372 | + | 0.818083i | ||||
\(219\) | 12.0131 | 0.811770 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −12.7026 | −0.854472 | ||||||||
\(222\) | 6.09552 | + | 8.38977i | 0.409105 | + | 0.563084i | ||||
\(223\) | 5.99740 | − | 1.94867i | 0.401616 | − | 0.130493i | −0.101243 | − | 0.994862i | \(-0.532282\pi\) |
0.502858 | + | 0.864369i | \(0.332282\pi\) | |||||||
\(224\) | −1.06636 | + | 3.28190i | −0.0712489 | + | 0.219281i | ||||
\(225\) | 0.0914827 | − | 0.492640i | 0.00609884 | − | 0.0328427i | ||||
\(226\) | −7.66379 | − | 5.56807i | −0.509787 | − | 0.370382i | ||||
\(227\) | −1.06215 | − | 0.345113i | −0.0704973 | − | 0.0229060i | 0.273556 | − | 0.961856i | \(-0.411800\pi\) |
−0.344053 | + | 0.938950i | \(0.611800\pi\) | |||||||
\(228\) | −5.19151 | + | 1.68682i | −0.343816 | + | 0.111713i | ||||
\(229\) | −3.39477 | + | 2.46644i | −0.224332 | + | 0.162987i | −0.694275 | − | 0.719710i | \(-0.744275\pi\) |
0.469942 | + | 0.882697i | \(0.344275\pi\) | |||||||
\(230\) | 1.42826 | − | 2.26278i | 0.0941767 | − | 0.149204i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | − | 9.63094i | − | 0.632302i | ||||||
\(233\) | −3.98487 | − | 5.48471i | −0.261058 | − | 0.359315i | 0.658288 | − | 0.752766i | \(-0.271281\pi\) |
−0.919345 | + | 0.393451i | \(0.871281\pi\) | |||||||
\(234\) | 0.0446164 | + | 0.137315i | 0.00291667 | + | 0.00897658i | ||||
\(235\) | −3.32135 | + | 2.76136i | −0.216661 | + | 0.180131i | ||||
\(236\) | −0.0419817 | − | 0.0305015i | −0.00273277 | − | 0.00198548i | ||||
\(237\) | −4.68419 | + | 6.44723i | −0.304271 | + | 0.418793i | ||||
\(238\) | 3.19899 | + | 1.03941i | 0.207360 | + | 0.0673752i | ||||
\(239\) | 1.35908 | + | 4.18282i | 0.0879117 | + | 0.270564i | 0.985342 | − | 0.170593i | \(-0.0545682\pi\) |
−0.897430 | + | 0.441157i | \(0.854568\pi\) | |||||||
\(240\) | −2.15768 | + | 0.141045i | −0.139277 | + | 0.00910441i | ||||
\(241\) | 9.61218 | 0.619175 | 0.309587 | − | 0.950871i | \(-0.399809\pi\) | ||||
0.309587 | + | 0.950871i | \(0.399809\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 1.04101i | 0.0667807i | ||||||||
\(244\) | −3.77460 | + | 2.74241i | −0.241644 | + | 0.175565i | ||||
\(245\) | −14.4104 | − | 3.66245i | −0.920648 | − | 0.233985i | ||||
\(246\) | 3.67314 | − | 11.3048i | 0.234191 | − | 0.720765i | ||||
\(247\) | 2.41264 | − | 3.32071i | 0.153513 | − | 0.211292i | ||||
\(248\) | −9.76431 | + | 13.4394i | −0.620035 | + | 0.853404i | ||||
\(249\) | 3.23338 | − | 9.95131i | 0.204907 | − | 0.630639i | ||||
\(250\) | 8.80292 | − | 1.74624i | 0.556745 | − | 0.110442i | ||||
\(251\) | −10.8575 | + | 7.88843i | −0.685319 | + | 0.497913i | −0.875118 | − | 0.483910i | \(-0.839216\pi\) |
0.189799 | + | 0.981823i | \(0.439216\pi\) | |||||||
\(252\) | 0.0804405i | 0.00506727i | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 12.8886 | 0.808704 | ||||||||
\(255\) | 1.81753 | + | 27.8042i | 0.113818 | + | 1.74117i | ||||
\(256\) | −4.39092 | − | 13.5138i | −0.274432 | − | 0.844616i | ||||
\(257\) | 10.2879 | + | 3.34275i | 0.641743 | + | 0.208515i | 0.611770 | − | 0.791036i | \(-0.290458\pi\) |
0.0299732 | + | 0.999551i | \(0.490458\pi\) | |||||||
\(258\) | −7.90815 | + | 10.8846i | −0.492340 | + | 0.677648i | ||||
\(259\) | −3.51479 | − | 2.55364i | −0.218398 | − | 0.158676i | ||||
\(260\) | 4.18387 | − | 3.47846i | 0.259472 | − | 0.215725i | ||||
\(261\) | −0.110724 | − | 0.340772i | −0.00685362 | − | 0.0210933i | ||||
\(262\) | −8.50662 | − | 11.7084i | −0.525540 | − | 0.723344i | ||||
\(263\) | − | 24.6351i | − | 1.51906i | −0.650471 | − | 0.759531i | \(-0.725428\pi\) | ||
0.650471 | − | 0.759531i | \(-0.274572\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.50584 | + | 2.84407i | 0.276791 | + | 0.174710i | ||||
\(266\) | −0.879314 | + | 0.638859i | −0.0539142 | + | 0.0391709i | ||||
\(267\) | 10.4053 | − | 3.38089i | 0.636795 | − | 0.206907i | ||||
\(268\) | 8.75659 | + | 2.84519i | 0.534894 | + | 0.173797i | ||||
\(269\) | −3.88410 | − | 2.82196i | −0.236818 | − | 0.172058i | 0.463047 | − | 0.886334i | \(-0.346756\pi\) |
−0.699864 | + | 0.714276i | \(0.746756\pi\) | |||||||
\(270\) | −8.51249 | + | 3.39442i | −0.518053 | + | 0.206578i | ||||
\(271\) | −7.20947 | + | 22.1885i | −0.437944 | + | 1.34785i | 0.452095 | + | 0.891970i | \(0.350677\pi\) |
−0.890039 | + | 0.455884i | \(0.849323\pi\) | |||||||
\(272\) | 3.69653 | − | 1.20108i | 0.224135 | − | 0.0728259i | ||||
\(273\) | −1.09989 | − | 1.51387i | −0.0665684 | − | 0.0916236i | ||||
\(274\) | −3.23654 | −0.195527 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −3.55855 | −0.214200 | ||||||||
\(277\) | 12.8709 | + | 17.7153i | 0.773337 | + | 1.06441i | 0.995986 | + | 0.0895089i | \(0.0285297\pi\) |
−0.222649 | + | 0.974899i | \(0.571470\pi\) | |||||||
\(278\) | 6.05761 | − | 1.96824i | 0.363312 | − | 0.118047i | ||||
\(279\) | −0.190983 | + | 0.587785i | −0.0114339 | + | 0.0351898i | ||||
\(280\) | −3.31262 | + | 1.32093i | −0.197967 | + | 0.0789409i | ||||
\(281\) | 12.7626 | + | 9.27257i | 0.761353 | + | 0.553155i | 0.899325 | − | 0.437281i | \(-0.144058\pi\) |
−0.137972 | + | 0.990436i | \(0.544058\pi\) | |||||||
\(282\) | −2.59647 | − | 0.843646i | −0.154618 | − | 0.0502384i | ||||
\(283\) | 21.5026 | − | 6.98661i | 1.27819 | − | 0.415311i | 0.410251 | − | 0.911973i | \(-0.365441\pi\) |
0.867944 | + | 0.496662i | \(0.165441\pi\) | |||||||
\(284\) | 12.9347 | − | 9.39760i | 0.767532 | − | 0.557645i | ||||
\(285\) | −7.61377 | − | 4.80578i | −0.451001 | − | 0.284670i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 4.97971i | 0.293943i | ||||||||
\(288\) | −0.343291 | − | 0.472500i | −0.0202286 | − | 0.0278423i | ||||
\(289\) | −10.2240 | − | 31.4662i | −0.601412 | − | 1.85096i | ||||
\(290\) | 4.93484 | − | 4.10282i | 0.289784 | − | 0.240926i | ||||
\(291\) | 7.65754 | + | 5.56353i | 0.448893 | + | 0.326140i | ||||
\(292\) | 5.43668 | − | 7.48294i | 0.318157 | − | 0.437906i | ||||
\(293\) | 12.6106 | + | 4.09744i | 0.736721 | + | 0.239375i | 0.653258 | − | 0.757136i | \(-0.273402\pi\) |
0.0834635 | + | 0.996511i | \(0.473402\pi\) | |||||||
\(294\) | −2.90412 | − | 8.93795i | −0.169372 | − | 0.521272i | ||||
\(295\) | −0.00558312 | − | 0.0854094i | −0.000325062 | − | 0.00497273i | ||||
\(296\) | 19.7641 | 1.14876 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | − | 10.0344i | − | 0.581280i | ||||||
\(299\) | 2.16480 | − | 1.57282i | 0.125194 | − | 0.0909585i | ||||
\(300\) | −8.21248 | − | 8.66017i | −0.474148 | − | 0.499995i | ||||
\(301\) | 1.74176 | − | 5.36058i | 0.100393 | − | 0.308978i | ||||
\(302\) | 3.96441 | − | 5.45655i | 0.228126 | − | 0.313989i | ||||
\(303\) | −10.2783 | + | 14.1468i | −0.590472 | + | 0.812715i | ||||
\(304\) | −0.388106 | + | 1.19447i | −0.0222594 | + | 0.0685074i | ||||
\(305\) | −7.45849 | − | 1.89560i | −0.427072 | − | 0.108542i | ||||
\(306\) | −0.460562 | + | 0.334618i | −0.0263286 | + | 0.0191288i | ||||
\(307\) | 10.0161i | 0.571650i | 0.958282 | + | 0.285825i | \(0.0922676\pi\) | ||||
−0.958282 | + | 0.285825i | \(0.907732\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −23.8076 | −1.35437 | ||||||||
\(310\) | −11.0459 | + | 0.722060i | −0.627367 | + | 0.0410103i | ||||
\(311\) | −1.05321 | − | 3.24145i | −0.0597220 | − | 0.183806i | 0.916745 | − | 0.399474i | \(-0.130807\pi\) |
−0.976467 | + | 0.215668i | \(0.930807\pi\) | |||||||
\(312\) | 8.09603 | + | 2.63056i | 0.458348 | + | 0.148926i | ||||
\(313\) | 14.4012 | − | 19.8216i | 0.814005 | − | 1.12038i | −0.176688 | − | 0.984267i | \(-0.556538\pi\) |
0.990693 | − | 0.136115i | \(-0.0434616\pi\) | |||||||
\(314\) | 9.08888 | + | 6.60346i | 0.512915 | + | 0.372655i | ||||
\(315\) | −0.102024 | + | 0.0848228i | −0.00574842 | + | 0.00477922i | ||||
\(316\) | 1.89608 | + | 5.83555i | 0.106663 | + | 0.328275i | ||||
\(317\) | 4.10774 | + | 5.65382i | 0.230714 | + | 0.317550i | 0.908641 | − | 0.417579i | \(-0.137121\pi\) |
−0.677927 | + | 0.735129i | \(0.737121\pi\) | |||||||
\(318\) | 3.36787i | 0.188861i | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 4.27254 | − | 6.76895i | 0.238842 | − | 0.378396i | ||||
\(321\) | −7.98330 | + | 5.80020i | −0.445584 | + | 0.323736i | ||||
\(322\) | −0.673874 | + | 0.218955i | −0.0375535 | + | 0.0122019i | ||||
\(323\) | 15.3921 | + | 5.00121i | 0.856441 | + | 0.278275i | ||||
\(324\) | 10.1896 | + | 7.40317i | 0.566088 | + | 0.411287i | ||||
\(325\) | 8.82360 | + | 1.63853i | 0.489445 | + | 0.0908894i | ||||
\(326\) | 2.93725 | − | 9.03993i | 0.162679 | − | 0.500675i | ||||
\(327\) | 31.1471 | − | 10.1203i | 1.72244 | − | 0.559654i | ||||
\(328\) | −13.3155 | − | 18.3272i | −0.735226 | − | 1.01195i | ||||
\(329\) | 1.14374 | 0.0630563 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 5.64321 | 0.310179 | 0.155089 | − | 0.987900i | \(-0.450433\pi\) | ||||
0.155089 | + | 0.987900i | \(0.450433\pi\) | |||||||
\(332\) | −4.73535 | − | 6.51765i | −0.259886 | − | 0.357703i | ||||
\(333\) | 0.699314 | − | 0.227221i | 0.0383221 | − | 0.0124516i | ||||
\(334\) | 2.16453 | − | 6.66175i | 0.118438 | − | 0.364515i | ||||
\(335\) | 5.62502 | + | 14.1064i | 0.307328 | + | 0.770713i | ||||
\(336\) | 0.463215 | + | 0.336545i | 0.0252704 | + | 0.0183600i | ||||
\(337\) | 21.5094 | + | 6.98884i | 1.17169 | + | 0.380706i | 0.829275 | − | 0.558841i | \(-0.188754\pi\) |
0.342419 | + | 0.939547i | \(0.388754\pi\) | |||||||
\(338\) | 7.46493 | − | 2.42550i | 0.406039 | − | 0.131930i | ||||
\(339\) | −16.8107 | + | 12.2137i | −0.913033 | + | 0.663357i | ||||
\(340\) | 18.1418 | + | 11.4510i | 0.983876 | + | 0.621018i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | − | 0.183955i | − | 0.00994713i | ||||||
\(343\) | 4.75040 | + | 6.53836i | 0.256497 | + | 0.353038i | ||||
\(344\) | 7.92360 | + | 24.3863i | 0.427212 | + | 1.31482i | ||||
\(345\) | −3.75242 | − | 4.51339i | −0.202023 | − | 0.242993i | ||||
\(346\) | −5.96056 | − | 4.33060i | −0.320442 | − | 0.232815i | ||||
\(347\) | −0.107209 | + | 0.147560i | −0.00575527 | + | 0.00792145i | −0.811885 | − | 0.583817i | \(-0.801558\pi\) |
0.806130 | + | 0.591739i | \(0.201558\pi\) | |||||||
\(348\) | −8.11696 | − | 2.63736i | −0.435115 | − | 0.141377i | ||||
\(349\) | −4.76729 | − | 14.6722i | −0.255187 | − | 0.785385i | −0.993793 | − | 0.111248i | \(-0.964515\pi\) |
0.738606 | − | 0.674138i | \(-0.235485\pi\) | |||||||
\(350\) | −2.08803 | − | 1.13465i | −0.111610 | − | 0.0606495i | ||||
\(351\) | −9.16431 | −0.489155 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | − | 23.9103i | − | 1.27262i | −0.771435 | − | 0.636308i | \(-0.780461\pi\) | ||
0.771435 | − | 0.636308i | \(-0.219539\pi\) | |||||||
\(354\) | 0.0437676 | − | 0.0317990i | 0.00232622 | − | 0.00169010i | ||||
\(355\) | 25.5585 | + | 6.49577i | 1.35651 | + | 0.344760i | ||||
\(356\) | 2.60310 | − | 8.01152i | 0.137964 | − | 0.424610i | ||||
\(357\) | 4.33679 | − | 5.96907i | 0.229527 | − | 0.315917i | ||||
\(358\) | 0.683265 | − | 0.940433i | 0.0361117 | − | 0.0497035i | ||||
\(359\) | −2.70926 | + | 8.33824i | −0.142989 | + | 0.440075i | −0.996747 | − | 0.0805950i | \(-0.974318\pi\) |
0.853758 | + | 0.520670i | \(0.174318\pi\) | |||||||
\(360\) | 0.148676 | − | 0.584989i | 0.00783594 | − | 0.0308316i | ||||
\(361\) | 11.1405 | − | 8.09401i | 0.586340 | − | 0.426001i | ||||
\(362\) | − | 0.636943i | − | 0.0334770i | ||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −1.44076 | −0.0755161 | ||||||||
\(365\) | 15.2236 | − | 0.995152i | 0.796842 | − | 0.0520887i | ||||
\(366\) | −1.50310 | − | 4.62608i | −0.0785685 | − | 0.241809i | ||||
\(367\) | −5.11889 | − | 1.66323i | −0.267204 | − | 0.0868198i | 0.172351 | − | 0.985036i | \(-0.444864\pi\) |
−0.439555 | + | 0.898216i | \(0.644864\pi\) | |||||||
\(368\) | −0.481252 | + | 0.662387i | −0.0250870 | + | 0.0345293i | ||||
\(369\) | −0.681845 | − | 0.495390i | −0.0354954 | − | 0.0257890i | ||||
\(370\) | 8.41957 | + | 10.1270i | 0.437713 | + | 0.526478i | ||||
\(371\) | −0.436001 | − | 1.34187i | −0.0226360 | − | 0.0696665i | ||||
\(372\) | 8.65287 | + | 11.9097i | 0.448631 | + | 0.617487i | ||||
\(373\) | 3.22450i | 0.166958i | 0.996510 | + | 0.0834792i | \(0.0266032\pi\) | ||||
−0.996510 | + | 0.0834792i | \(0.973397\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 2.32400 | − | 19.5480i | 0.120011 | − | 1.00946i | ||||
\(376\) | −4.20939 | + | 3.05830i | −0.217083 | + | 0.157720i | ||||
\(377\) | 6.10351 | − | 1.98315i | 0.314347 | − | 0.102138i | ||||
\(378\) | 2.30791 | + | 0.749884i | 0.118706 | + | 0.0385699i | ||||
\(379\) | −15.9080 | − | 11.5578i | −0.817139 | − | 0.593687i | 0.0987522 | − | 0.995112i | \(-0.468515\pi\) |
−0.915892 | + | 0.401425i | \(0.868515\pi\) | |||||||
\(380\) | −6.43922 | + | 2.56769i | −0.330325 | + | 0.131720i | ||||
\(381\) | 8.73639 | − | 26.8878i | 0.447579 | − | 1.37751i | ||||
\(382\) | −6.22203 | + | 2.02166i | −0.318347 | + | 0.103437i | ||||
\(383\) | −16.4434 | − | 22.6323i | −0.840216 | − | 1.15646i | −0.985934 | − | 0.167132i | \(-0.946549\pi\) |
0.145718 | − | 0.989326i | \(-0.453451\pi\) | |||||||
\(384\) | −15.4639 | −0.789139 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 3.50648 | 0.178475 | ||||||||
\(387\) | 0.560723 | + | 0.771769i | 0.0285031 | + | 0.0392312i | ||||
\(388\) | 6.93103 | − | 2.25203i | 0.351870 | − | 0.114329i | ||||
\(389\) | −4.02958 | + | 12.4018i | −0.204308 | + | 0.628795i | 0.795433 | + | 0.606041i | \(0.207243\pi\) |
−0.999741 | + | 0.0227539i | \(0.992757\pi\) | |||||||
\(390\) | 2.10106 | + | 5.26900i | 0.106391 | + | 0.266806i | ||||
\(391\) | 8.53564 | + | 6.20151i | 0.431666 | + | 0.313624i | ||||
\(392\) | −17.0342 | − | 5.53475i | −0.860358 | − | 0.279547i | ||||
\(393\) | −30.1917 | + | 9.80987i | −1.52297 | + | 0.494843i | ||||
\(394\) | −10.1647 | + | 7.38510i | −0.512091 | + | 0.372056i | ||||
\(395\) | −5.40197 | + | 8.55830i | −0.271803 | + | 0.430615i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 1.82243i | 0.0914651i | 0.998954 | + | 0.0457325i | \(0.0145622\pi\) | ||||
−0.998954 | + | 0.0457325i | \(0.985438\pi\) | |||||||
\(398\) | −0.678612 | − | 0.934030i | −0.0340158 | − | 0.0468187i | ||||
\(399\) | 0.736735 | + | 2.26744i | 0.0368829 | + | 0.113514i | ||||
\(400\) | −2.72264 | + | 0.357479i | −0.136132 | + | 0.0178740i | ||||
\(401\) | −4.35320 | − | 3.16278i | −0.217388 | − | 0.157942i | 0.473762 | − | 0.880653i | \(-0.342896\pi\) |
−0.691150 | + | 0.722711i | \(0.742896\pi\) | |||||||
\(402\) | −5.64209 | + | 7.76568i | −0.281402 | + | 0.387317i | ||||
\(403\) | −10.5277 | − | 3.42067i | −0.524423 | − | 0.170395i | ||||
\(404\) | 4.16048 | + | 12.8047i | 0.206992 | + | 0.637055i | ||||
\(405\) | 1.35511 | + | 20.7302i | 0.0673358 | + | 1.03009i | ||||
\(406\) | −1.69936 | −0.0843379 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 33.5648i | 1.66171i | ||||||||
\(409\) | 29.6764 | − | 21.5612i | 1.46740 | − | 1.06613i | 0.486049 | − | 0.873931i | \(-0.338438\pi\) |
0.981356 | − | 0.192201i | \(-0.0615624\pi\) | |||||||
\(410\) | 3.71832 | − | 14.6303i | 0.183635 | − | 0.722537i | ||||
\(411\) | −2.19385 | + | 6.75197i | −0.108215 | + | 0.333050i | ||||
\(412\) | −10.7744 | + | 14.8297i | −0.530819 | + | 0.730609i | ||||
\(413\) | −0.0133218 | + | 0.0183359i | −0.000655522 | + | 0.000902249i | ||||
\(414\) | 0.0370578 | − | 0.114052i | 0.00182129 | − | 0.00560535i | ||||
\(415\) | 3.27315 | − | 12.8787i | 0.160673 | − | 0.632190i | ||||
\(416\) | 8.46287 | − | 6.14863i | 0.414926 | − | 0.301462i | ||||
\(417\) | − | 13.9713i | − | 0.684180i | ||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −2.86630 | −0.140028 | −0.0700141 | − | 0.997546i | \(-0.522304\pi\) | ||||
−0.0700141 | + | 0.997546i | \(0.522304\pi\) | |||||||
\(420\) | 0.206148 | + | 3.15361i | 0.0100590 | + | 0.153880i | ||||
\(421\) | 1.43994 | + | 4.43169i | 0.0701785 | + | 0.215987i | 0.979994 | − | 0.199025i | \(-0.0637774\pi\) |
−0.909816 | + | 0.415012i | \(0.863777\pi\) | |||||||
\(422\) | 6.62741 | + | 2.15338i | 0.322617 | + | 0.104825i | ||||
\(423\) | −0.113781 | + | 0.156606i | −0.00553222 | + | 0.00761445i | ||||
\(424\) | 5.19275 | + | 3.77275i | 0.252182 | + | 0.183221i | ||||
\(425\) | 4.60655 | + | 35.0845i | 0.223450 | + | 1.70185i | ||||
\(426\) | 5.15079 | + | 15.8525i | 0.249556 | + | 0.768056i | ||||
\(427\) | 1.19777 | + | 1.64859i | 0.0579642 | + | 0.0797809i | ||||
\(428\) | 7.59774i | 0.367250i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −9.11996 | + | 14.4487i | −0.439803 | + | 0.696778i | ||||
\(431\) | 16.8026 | − | 12.2078i | 0.809351 | − | 0.588028i | −0.104291 | − | 0.994547i | \(-0.533257\pi\) |
0.913642 | + | 0.406519i | \(0.133257\pi\) | |||||||
\(432\) | 2.66686 | − | 0.866515i | 0.128309 | − | 0.0416902i | ||||
\(433\) | −12.1708 | − | 3.95454i | −0.584893 | − | 0.190043i | 0.00159840 | − | 0.999999i | \(-0.499491\pi\) |
−0.586491 | + | 0.809955i | \(0.699491\pi\) | |||||||
\(434\) | 2.37136 | + | 1.72290i | 0.113829 | + | 0.0827017i | ||||
\(435\) | −5.21414 | − | 13.0760i | −0.249999 | − | 0.626944i | ||||
\(436\) | 7.79208 | − | 23.9815i | 0.373173 | − | 1.14851i | ||||
\(437\) | −3.24239 | + | 1.05352i | −0.155104 | + | 0.0503965i | ||||
\(438\) | 5.66796 | + | 7.80128i | 0.270826 | + | 0.372759i | ||||
\(439\) | −10.6208 | −0.506905 | −0.253452 | − | 0.967348i | \(-0.581566\pi\) | ||||
−0.253452 | + | 0.967348i | \(0.581566\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −0.666354 | −0.0317312 | ||||||||
\(442\) | −5.99329 | − | 8.24906i | −0.285072 | − | 0.392368i | ||||
\(443\) | −6.27596 | + | 2.03918i | −0.298180 | + | 0.0968846i | −0.454286 | − | 0.890856i | \(-0.650106\pi\) |
0.156106 | + | 0.987740i | \(0.450106\pi\) | |||||||
\(444\) | 5.41224 | − | 16.6572i | 0.256854 | − | 0.790514i | ||||
\(445\) | 12.9061 | − | 5.14641i | 0.611808 | − | 0.243963i | ||||
\(446\) | 4.09512 | + | 2.97528i | 0.193910 | + | 0.140884i | ||||
\(447\) | −20.9335 | − | 6.80172i | −0.990122 | − | 0.321710i | ||||
\(448\) | −2.01585 | + | 0.654988i | −0.0952397 | + | 0.0309453i | ||||
\(449\) | 11.0253 | − | 8.01037i | 0.520317 | − | 0.378033i | −0.296406 | − | 0.955062i | \(-0.595788\pi\) |
0.816723 | + | 0.577029i | \(0.195788\pi\) | |||||||
\(450\) | 0.363082 | − | 0.173026i | 0.0171159 | − | 0.00815654i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 15.9988i | 0.752522i | ||||||||
\(453\) | −8.69605 | − | 11.9691i | −0.408576 | − | 0.562356i | ||||
\(454\) | −0.277022 | − | 0.852586i | −0.0130013 | − | 0.0400138i | ||||
\(455\) | −1.51925 | − | 1.82734i | −0.0712234 | − | 0.0856671i | ||||
\(456\) | −8.77449 | − | 6.37504i | −0.410903 | − | 0.298539i | ||||
\(457\) | −7.93503 | + | 10.9216i | −0.371185 | + | 0.510893i | −0.953223 | − | 0.302269i | \(-0.902256\pi\) |
0.582037 | + | 0.813162i | \(0.302256\pi\) | |||||||
\(458\) | −3.20340 | − | 1.04085i | −0.149685 | − | 0.0486356i | ||||
\(459\) | −11.1661 | − | 34.3656i | −0.521188 | − | 1.60405i | ||||
\(460\) | −4.50959 | + | 0.294787i | −0.210261 | + | 0.0137445i | ||||
\(461\) | −11.3217 | −0.527303 | −0.263652 | − | 0.964618i | \(-0.584927\pi\) | ||||
−0.263652 | + | 0.964618i | \(0.584927\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 4.82990i | − | 0.224464i | −0.993682 | − | 0.112232i | \(-0.964200\pi\) | ||
0.993682 | − | 0.112232i | \(-0.0358001\pi\) | |||||||
\(464\) | −1.58864 | + | 1.15421i | −0.0737507 | + | 0.0535830i | ||||
\(465\) | −5.98100 | + | 23.5331i | −0.277362 | + | 1.09132i | ||||
\(466\) | 1.68163 | − | 5.17553i | 0.0779001 | − | 0.239752i | ||||
\(467\) | −14.1170 | + | 19.4304i | −0.653257 | + | 0.899131i | −0.999235 | − | 0.0391117i | \(-0.987547\pi\) |
0.345978 | + | 0.938243i | \(0.387547\pi\) | |||||||
\(468\) | 0.143329 | − | 0.197275i | 0.00662538 | − | 0.00911905i | ||||
\(469\) | 1.24266 | − | 3.82452i | 0.0573808 | − | 0.176600i | ||||
\(470\) | −3.36028 | − | 0.854023i | −0.154998 | − | 0.0393932i | ||||
\(471\) | 19.9367 | − | 14.4849i | 0.918635 | − | 0.667427i | ||||
\(472\) | − | 0.103105i | − | 0.00474579i | ||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −6.39688 | −0.293818 | ||||||||
\(475\) | −10.0467 | − | 5.45943i | −0.460973 | − | 0.250496i | ||||
\(476\) | −1.75546 | − | 5.40276i | −0.0804615 | − | 0.247635i | ||||
\(477\) | 0.227110 | + | 0.0737924i | 0.0103986 | + | 0.00337872i | ||||
\(478\) | −2.07508 | + | 2.85610i | −0.0949119 | + | 0.130635i | ||||
\(479\) | −34.9698 | − | 25.4070i | −1.59781 | − | 1.16088i | −0.891547 | − | 0.452929i | \(-0.850379\pi\) |
−0.706264 | − | 0.707949i | \(-0.749621\pi\) | |||||||
\(480\) | −14.6694 | − | 17.6442i | −0.669562 | − | 0.805345i | ||||
\(481\) | 4.06971 | + | 12.5253i | 0.185563 | + | 0.571104i | ||||
\(482\) | 4.53517 | + | 6.24212i | 0.206571 | + | 0.284321i | ||||
\(483\) | 1.55423i | 0.0707199i | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 10.1649 | + | 6.41606i | 0.461565 | + | 0.291338i | ||||
\(486\) | −0.676027 | + | 0.491163i | −0.0306652 | + | 0.0222796i | ||||
\(487\) | −39.9072 | + | 12.9666i | −1.80837 | + | 0.587574i | −0.999999 | − | 0.00110438i | \(-0.999648\pi\) |
−0.808367 | + | 0.588678i | \(0.799648\pi\) | |||||||
\(488\) | −8.81651 | − | 2.86466i | −0.399105 | − | 0.129677i | ||||
\(489\) | −16.8678 | − | 12.2552i | −0.762790 | − | 0.554199i | ||||
\(490\) | −4.42066 | − | 11.0861i | −0.199705 | − | 0.500818i | ||||
\(491\) | 2.79964 | − | 8.61641i | 0.126346 | − | 0.388853i | −0.867798 | − | 0.496917i | \(-0.834465\pi\) |
0.994144 | + | 0.108064i | \(0.0344652\pi\) | |||||||
\(492\) | −19.0925 | + | 6.20354i | −0.860758 | + | 0.279677i | ||||
\(493\) | 14.8734 | + | 20.4715i | 0.669865 | + | 0.921990i | ||||
\(494\) | 3.29478 | 0.148239 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 3.38705 | 0.152083 | ||||||||
\(497\) | −4.10449 | − | 5.64934i | −0.184111 | − | 0.253408i | ||||
\(498\) | 7.98791 | − | 2.59543i | 0.357947 | − | 0.116304i | ||||
\(499\) | −9.35682 | + | 28.7973i | −0.418869 | + | 1.28915i | 0.489875 | + | 0.871792i | \(0.337042\pi\) |
−0.908744 | + | 0.417353i | \(0.862958\pi\) | |||||||
\(500\) | −11.1247 | − | 10.2943i | −0.497511 | − | 0.460376i | ||||
\(501\) | −12.4303 | − | 9.03116i | −0.555346 | − | 0.403483i | ||||
\(502\) | −10.2454 | − | 3.32895i | −0.457277 | − | 0.148578i | ||||
\(503\) | 17.1797 | − | 5.58203i | 0.766006 | − | 0.248890i | 0.100152 | − | 0.994972i | \(-0.468067\pi\) |
0.665854 | + | 0.746082i | \(0.268067\pi\) | |||||||
\(504\) | −0.129303 | + | 0.0939443i | −0.00575962 | + | 0.00418461i | ||||
\(505\) | −11.8533 | + | 18.7791i | −0.527464 | + | 0.835658i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | − | 17.2172i | − | 0.764642i | ||||||
\(508\) | −12.7946 | − | 17.6103i | −0.567670 | − | 0.781331i | ||||
\(509\) | 7.69937 | + | 23.6962i | 0.341269 | + | 1.05032i | 0.963551 | + | 0.267524i | \(0.0862056\pi\) |
−0.622282 | + | 0.782793i | \(0.713794\pi\) | |||||||
\(510\) | −17.1985 | + | 14.2988i | −0.761561 | + | 0.633159i | ||||
\(511\) | −3.26824 | − | 2.37452i | −0.144579 | − | 0.105043i | ||||
\(512\) | −3.62042 | + | 4.98307i | −0.160001 | + | 0.220223i | ||||
\(513\) | 11.1046 | + | 3.60811i | 0.490282 | + | 0.159302i | ||||
\(514\) | 2.68322 | + | 8.25811i | 0.118352 | + | 0.364249i | ||||
\(515\) | −30.1703 | + | 1.97220i | −1.32946 | + | 0.0869055i | ||||
\(516\) | 22.7226 | 1.00031 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | − | 3.48734i | − | 0.153225i | ||||||
\(519\) | −13.0747 | + | 9.49929i | −0.573914 | + | 0.416973i | ||||
\(520\) | 10.4776 | + | 2.66292i | 0.459475 | + | 0.116777i | ||||
\(521\) | 11.2121 | − | 34.5073i | 0.491211 | − | 1.51179i | −0.331568 | − | 0.943431i | \(-0.607578\pi\) |
0.822779 | − | 0.568362i | \(-0.192422\pi\) | |||||||
\(522\) | 0.169055 | − | 0.232685i | 0.00739936 | − | 0.0101843i | ||||
\(523\) | 14.5224 | − | 19.9884i | 0.635021 | − | 0.874032i | −0.363316 | − | 0.931666i | \(-0.618356\pi\) |
0.998338 | + | 0.0576339i | \(0.0183556\pi\) | |||||||
\(524\) | −7.55306 | + | 23.2459i | −0.329957 | + | 1.01550i | ||||
\(525\) | −3.78241 | + | 3.58687i | −0.165078 | + | 0.156544i | ||||
\(526\) | 15.9979 | − | 11.6232i | 0.697543 | − | 0.506795i | ||||
\(527\) | − | 43.6462i | − | 1.90126i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 20.7775 | 0.903369 | ||||||||
\(530\) | 0.278991 | + | 4.26795i | 0.0121186 | + | 0.185388i | ||||
\(531\) | −0.00118536 | − | 0.00364817i | −5.14403e−5 | − | 0.000158317i | ||||
\(532\) | 1.74580 | + | 0.567246i | 0.0756901 | + | 0.0245932i | ||||
\(533\) | 8.87284 | − | 12.2124i | 0.384325 | − | 0.528979i | ||||
\(534\) | 7.10493 | + | 5.16203i | 0.307460 | + | 0.223383i | ||||
\(535\) | −9.63638 | + | 8.01165i | −0.416617 | + | 0.346374i | ||||
\(536\) | 5.65312 | + | 17.3985i | 0.244177 | + | 0.751501i | ||||
\(537\) | −1.49876 | − | 2.06287i | −0.0646763 | − | 0.0890193i | ||||
\(538\) | − | 3.85376i | − | 0.166148i | ||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 13.0884 | + | 8.26132i | 0.563233 | + | 0.355511i | ||||
\(541\) | −10.1467 | + | 7.37198i | −0.436239 | + | 0.316946i | −0.784139 | − | 0.620586i | \(-0.786895\pi\) |
0.347900 | + | 0.937532i | \(0.386895\pi\) | |||||||
\(542\) | −17.8107 | + | 5.78704i | −0.765034 | + | 0.248574i | ||||
\(543\) | −1.32877 | − | 0.431744i | −0.0570230 | − | 0.0185279i | ||||
\(544\) | 33.3685 | + | 24.2436i | 1.43066 | + | 1.03944i | ||||
\(545\) | 38.6329 | − | 15.4052i | 1.65485 | − | 0.659885i | ||||
\(546\) | 0.464158 | − | 1.42853i | 0.0198641 | − | 0.0611355i | ||||
\(547\) | −29.2361 | + | 9.49940i | −1.25005 | + | 0.406165i | −0.857938 | − | 0.513754i | \(-0.828255\pi\) |
−0.392110 | + | 0.919919i | \(0.628255\pi\) | |||||||
\(548\) | 3.21294 | + | 4.42223i | 0.137250 | + | 0.188908i | ||||
\(549\) | −0.344889 | −0.0147195 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −8.17659 | −0.348334 | ||||||||
\(552\) | −4.15594 | − | 5.72016i | −0.176889 | − | 0.243466i | ||||
\(553\) | 2.54873 | − | 0.828132i | 0.108383 | − | 0.0352157i | ||||
\(554\) | −5.43157 | + | 16.7167i | −0.230765 | + | 0.710222i | ||||
\(555\) | 26.8337 | − | 10.7002i | 1.13903 | − | 0.454197i | ||||
\(556\) | −8.70273 | − | 6.32290i | −0.369078 | − | 0.268151i | ||||
\(557\) | 12.7721 | + | 4.14990i | 0.541171 | + | 0.175837i | 0.566832 | − | 0.823834i | \(-0.308169\pi\) |
−0.0256608 | + | 0.999671i | \(0.508169\pi\) | |||||||
\(558\) | −0.471815 | + | 0.153302i | −0.0199735 | + | 0.00648979i | ||||
\(559\) | −13.8230 | + | 10.0430i | −0.584652 | + | 0.424774i | ||||
\(560\) | 0.614889 | + | 0.388116i | 0.0259838 | + | 0.0164009i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 12.6629i | 0.534154i | ||||||||
\(563\) | 17.9510 | + | 24.7075i | 0.756546 | + | 1.04130i | 0.997494 | + | 0.0707576i | \(0.0225417\pi\) |
−0.240948 | + | 0.970538i | \(0.577458\pi\) | |||||||
\(564\) | 1.42483 | + | 4.38517i | 0.0599961 | + | 0.184649i | ||||
\(565\) | −20.2917 | + | 16.8704i | −0.853677 | + | 0.709745i | ||||
\(566\) | 14.6823 | + | 10.6673i | 0.617143 | + | 0.448381i | ||||
\(567\) | 3.23340 | − | 4.45039i | 0.135790 | − | 0.186899i | ||||
\(568\) | 30.2122 | + | 9.81652i | 1.26767 | + | 0.411892i | ||||
\(569\) | 7.94804 | + | 24.4616i | 0.333199 | + | 1.02548i | 0.967602 | + | 0.252479i | \(0.0812460\pi\) |
−0.634403 | + | 0.773003i | \(0.718754\pi\) | |||||||
\(570\) | −0.471427 | − | 7.21180i | −0.0197459 | − | 0.302069i | ||||
\(571\) | 27.1115 | 1.13458 | 0.567291 | − | 0.823518i | \(-0.307992\pi\) | ||||
0.567291 | + | 0.823518i | \(0.307992\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 14.3506i | 0.599504i | ||||||||
\(574\) | −3.23381 | + | 2.34950i | −0.134977 | + | 0.0980662i | ||||
\(575\) | −5.12915 | − | 5.40876i | −0.213900 | − | 0.225561i | ||||
\(576\) | 0.110856 | − | 0.341178i | 0.00461898 | − | 0.0142158i | ||||
\(577\) | −1.68703 | + | 2.32200i | −0.0702321 | + | 0.0966662i | −0.842688 | − | 0.538402i | \(-0.819028\pi\) |
0.772456 | + | 0.635068i | \(0.219028\pi\) | |||||||
\(578\) | 15.6103 | − | 21.4857i | 0.649301 | − | 0.893686i | ||||
\(579\) | 2.37682 | − | 7.31511i | 0.0987773 | − | 0.304005i | ||||
\(580\) | −10.5047 | − | 2.66980i | −0.436185 | − | 0.110858i | ||||
\(581\) | −2.84664 | + | 2.06821i | −0.118099 | + | 0.0858037i | ||||
\(582\) | 7.59774i | 0.314936i | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 18.3777 | 0.760476 | ||||||||
\(585\) | 0.401346 | − | 0.0262355i | 0.0165936 | − | 0.00108471i | ||||
\(586\) | 3.28901 | + | 10.1225i | 0.135868 | + | 0.418159i | ||||
\(587\) | −42.6416 | − | 13.8551i | −1.76001 | − | 0.571860i | −0.762804 | − | 0.646629i | \(-0.776178\pi\) |
−0.997201 | + | 0.0747690i | \(0.976178\pi\) | |||||||
\(588\) | −9.32939 | + | 12.8408i | −0.384737 | + | 0.529546i | ||||
\(589\) | 11.4100 | + | 8.28982i | 0.470139 | + | 0.341576i | ||||
\(590\) | 0.0528304 | − | 0.0439231i | 0.00217499 | − | 0.00180828i | ||||
\(591\) | 8.51654 | + | 26.2112i | 0.350324 | + | 1.07819i | ||||
\(592\) | −2.36861 | − | 3.26012i | −0.0973494 | − | 0.133990i | ||||
\(593\) | 6.09322i | 0.250219i | 0.992143 | + | 0.125109i | \(0.0399282\pi\) | ||||
−0.992143 | + | 0.125109i | \(0.960072\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.00133 | − | 7.92358i | 0.205035 | − | 0.324835i | ||||
\(596\) | −13.7105 | + | 9.96127i | −0.561604 | + | 0.408029i | ||||
\(597\) | −2.40853 | + | 0.782579i | −0.0985746 | + | 0.0320288i | ||||
\(598\) | 2.04277 | + | 0.663736i | 0.0835350 | + | 0.0271422i | ||||
\(599\) | −10.4636 | − | 7.60225i | −0.427531 | − | 0.310619i | 0.353130 | − | 0.935574i | \(-0.385117\pi\) |
−0.780661 | + | 0.624955i | \(0.785117\pi\) | |||||||
\(600\) | 4.32958 | − | 23.3151i | 0.176754 | − | 0.951833i | ||||
\(601\) | 3.41374 | − | 10.5064i | 0.139249 | − | 0.428566i | −0.856977 | − | 0.515354i | \(-0.827660\pi\) |
0.996227 | + | 0.0867885i | \(0.0276604\pi\) | |||||||
\(602\) | 4.30293 | − | 1.39811i | 0.175374 | − | 0.0569826i | ||||
\(603\) | 0.400049 | + | 0.550621i | 0.0162913 | + | 0.0224230i | ||||
\(604\) | −11.3910 | −0.463494 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −14.0364 | −0.570188 | ||||||||
\(607\) | −0.0681317 | − | 0.0937752i | −0.00276538 | − | 0.00380622i | 0.807632 | − | 0.589687i | \(-0.200749\pi\) |
−0.810397 | + | 0.585881i | \(0.800749\pi\) | |||||||
\(608\) | −12.6755 | + | 4.11852i | −0.514059 | + | 0.167028i | ||||
\(609\) | −1.15189 | + | 3.54516i | −0.0466770 | + | 0.143657i | ||||
\(610\) | −2.28803 | − | 5.73789i | −0.0926397 | − | 0.232321i | ||||
\(611\) | −2.80495 | − | 2.03791i | −0.113476 | − | 0.0824451i | ||||
\(612\) | 0.914408 | + | 0.297109i | 0.0369627 | + | 0.0120099i | ||||
\(613\) | −18.1124 | + | 5.88509i | −0.731554 | + | 0.237696i | −0.651025 | − | 0.759056i | \(-0.725661\pi\) |
−0.0805288 | + | 0.996752i | \(0.525661\pi\) | |||||||
\(614\) | −6.50444 | + | 4.72575i | −0.262498 | + | 0.190716i | ||||
\(615\) | −28.0008 | − | 17.6740i | −1.12910 | − | 0.712684i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − | 30.8894i | − | 1.24356i | −0.783192 | − | 0.621780i | \(-0.786410\pi\) | ||
0.783192 | − | 0.621780i | \(-0.213590\pi\) | |||||||
\(618\) | −11.2328 | − | 15.4606i | −0.451849 | − | 0.621917i | ||||
\(619\) | −10.3736 | − | 31.9266i | −0.416950 | − | 1.28324i | −0.910495 | − | 0.413520i | \(-0.864299\pi\) |
0.493545 | − | 0.869720i | \(-0.335701\pi\) | |||||||
\(620\) | 11.9520 | + | 14.3758i | 0.480002 | + | 0.577344i | ||||
\(621\) | 6.15803 | + | 4.47407i | 0.247113 | + | 0.179538i | ||||
\(622\) | 1.60807 | − | 2.21331i | 0.0644776 | − | 0.0887458i | ||||
\(623\) | −3.49911 | − | 1.13693i | −0.140189 | − | 0.0455501i | ||||
\(624\) | −0.536349 | − | 1.65071i | −0.0214711 | − | 0.0660814i | ||||
\(625\) | 1.32576 | − | 24.9648i | 0.0530304 | − | 0.998593i | ||||
\(626\) | 19.6668 | 0.786043 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | − | 18.9738i | − | 0.757139i | ||||||
\(629\) | −42.0105 | + | 30.5224i | −1.67507 | + | 1.21701i | ||||
\(630\) | −0.103220 | − | 0.0262337i | −0.00411239 | − | 0.00104518i | ||||
\(631\) | 7.61952 | − | 23.4505i | 0.303328 | − | 0.933548i | −0.676968 | − | 0.736013i | \(-0.736706\pi\) |
0.980296 | − | 0.197535i | \(-0.0632937\pi\) | |||||||
\(632\) | −7.16590 | + | 9.86302i | −0.285044 | + | 0.392330i | ||||
\(633\) | 8.98461 | − | 12.3663i | 0.357106 | − | 0.491515i | ||||
\(634\) | −1.73348 | + | 5.33511i | −0.0688454 | + | 0.211884i | ||||
\(635\) | 8.84386 | − | 34.7974i | 0.350958 | − | 1.38089i | ||||
\(636\) | 4.60168 | − | 3.34331i | 0.182468 | − | 0.132571i | ||||
\(637\) | − | 11.9350i | − | 0.472880i | ||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 1.18186 | 0.0467535 | ||||||||
\(640\) | −19.5967 | + | 1.28101i | −0.774627 | + | 0.0506365i | ||||
\(641\) | 2.16821 | + | 6.67306i | 0.0856390 | + | 0.263570i | 0.984701 | − | 0.174251i | \(-0.0557504\pi\) |
−0.899062 | + | 0.437821i | \(0.855750\pi\) | |||||||
\(642\) | −7.53327 | − | 2.44771i | −0.297315 | − | 0.0966034i | ||||
\(643\) | 7.20185 | − | 9.91249i | 0.284013 | − | 0.390910i | −0.643045 | − | 0.765828i | \(-0.722329\pi\) |
0.927058 | + | 0.374918i | \(0.122329\pi\) | |||||||
\(644\) | 0.968128 | + | 0.703386i | 0.0381496 | + | 0.0277173i | ||||
\(645\) | 23.9606 | + | 28.8196i | 0.943446 | + | 1.13477i | ||||
\(646\) | 4.01446 | + | 12.3552i | 0.157947 | + | 0.486111i | ||||
\(647\) | 3.59733 | + | 4.95130i | 0.141426 | + | 0.194656i | 0.873854 | − | 0.486188i | \(-0.161613\pi\) |
−0.732428 | + | 0.680844i | \(0.761613\pi\) | |||||||
\(648\) | 25.0251i | 0.983079i | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 3.09905 | + | 6.50310i | 0.121555 | + | 0.255073i | ||||
\(651\) | 5.20165 | − | 3.77922i | 0.203869 | − | 0.148119i | ||||
\(652\) | −15.2675 | + | 4.96071i | −0.597921 | + | 0.194276i | ||||
\(653\) | −36.1702 | − | 11.7524i | −1.41545 | − | 0.459907i | −0.501295 | − | 0.865277i | \(-0.667143\pi\) |
−0.914153 | + | 0.405370i | \(0.867143\pi\) | |||||||
\(654\) | 21.2678 | + | 15.4519i | 0.831635 | + | 0.604218i | ||||
\(655\) | −37.4479 | + | 14.9326i | −1.46321 | + | 0.583467i | ||||
\(656\) | −1.42732 | + | 4.39283i | −0.0557274 | + | 0.171511i | ||||
\(657\) | 0.650261 | − | 0.211283i | 0.0253691 | − | 0.00824292i | ||||
\(658\) | 0.539632 | + | 0.742740i | 0.0210371 | + | 0.0289550i | ||||
\(659\) | 15.7879 | 0.615011 | 0.307505 | − | 0.951546i | \(-0.400506\pi\) | ||||
0.307505 | + | 0.951546i | \(0.400506\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −24.5794 | −0.956027 | −0.478014 | − | 0.878352i | \(-0.658643\pi\) | ||||
−0.478014 | + | 0.878352i | \(0.658643\pi\) | |||||||
\(662\) | 2.66255 | + | 3.66468i | 0.103483 | + | 0.142432i | ||||
\(663\) | −21.2714 | + | 6.91150i | −0.826113 | + | 0.268420i | ||||
\(664\) | 4.94644 | − | 15.2236i | 0.191959 | − | 0.590790i | ||||
\(665\) | 1.12146 | + | 2.81239i | 0.0434884 | + | 0.109060i | ||||
\(666\) | 0.477503 | + | 0.346926i | 0.0185029 | + | 0.0134431i | ||||
\(667\) | −5.06949 | − | 1.64718i | −0.196292 | − | 0.0637790i | ||||
\(668\) | −11.2510 | + | 3.65567i | −0.435314 | + | 0.141442i | ||||
\(669\) | 8.98277 | − | 6.52636i | 0.347294 | − | 0.252324i | ||||
\(670\) | −6.50666 | + | 10.3085i | −0.251374 | + | 0.398251i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 6.07597i | 0.234385i | ||||||||
\(673\) | 17.6179 | + | 24.2489i | 0.679119 | + | 0.934727i | 0.999923 | − | 0.0124187i | \(-0.00395310\pi\) |
−0.320804 | + | 0.947146i | \(0.603953\pi\) | |||||||
\(674\) | 5.60993 | + | 17.2656i | 0.216087 | + | 0.665046i | ||||
\(675\) | 3.32339 | + | 25.3116i | 0.127917 | + | 0.974246i | ||||
\(676\) | −10.7246 | − | 7.79185i | −0.412483 | − | 0.299687i | ||||
\(677\) | 2.20836 | − | 3.03955i | 0.0848744 | − | 0.116820i | −0.764469 | − | 0.644661i | \(-0.776999\pi\) |
0.849343 | + | 0.527842i | \(0.176999\pi\) | |||||||
\(678\) | −15.8631 | − | 5.15423i | −0.609218 | − | 0.197947i | ||||
\(679\) | −0.983593 | − | 3.02719i | −0.0377468 | − | 0.116173i | ||||
\(680\) | 2.78047 | + | 42.5351i | 0.106626 | + | 1.63115i | ||||
\(681\) | −1.96641 | −0.0753531 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 21.0157i | 0.804144i | 0.915608 | + | 0.402072i | \(0.131710\pi\) | ||||
−0.915608 | + | 0.402072i | \(0.868290\pi\) | |||||||
\(684\) | −0.251345 | + | 0.182613i | −0.00961043 | + | 0.00698239i | ||||
\(685\) | −2.22084 | + | 8.73819i | −0.0848538 | + | 0.333869i | ||||
\(686\) | −2.00469 | + | 6.16979i | −0.0765393 | + | 0.235564i | ||||
\(687\) | −4.34277 | + | 5.97731i | −0.165687 | + | 0.228049i | ||||
\(688\) | 3.07297 | − | 4.22958i | 0.117156 | − | 0.161251i | ||||
\(689\) | −1.32168 | + | 4.06772i | −0.0503521 | + | 0.154968i | ||||
\(690\) | 1.16054 | − | 4.56629i | 0.0441808 | − | 0.173836i | ||||
\(691\) | 30.9712 | − | 22.5019i | 1.17820 | − | 0.856012i | 0.186232 | − | 0.982506i | \(-0.440372\pi\) |
0.991967 | + | 0.126494i | \(0.0403723\pi\) | |||||||
\(692\) | 12.4432i | 0.473020i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −0.146408 | −0.00555757 | ||||||||
\(695\) | −1.15737 | − | 17.7052i | −0.0439016 | − | 0.671598i | ||||
\(696\) | −5.24018 | − | 16.1276i | −0.198629 | − | 0.611316i | ||||
\(697\) | 56.6069 | + | 18.3927i | 2.14414 | + | 0.696672i | ||||
\(698\) | 7.27881 | − | 10.0184i | 0.275507 | − | 0.379203i | ||||
\(699\) | −9.65715 | − | 7.01633i | −0.365267 | − | 0.265382i | ||||
\(700\) | 0.522483 | + | 3.97934i | 0.0197480 | + | 0.150405i | ||||
\(701\) | 10.5790 | + | 32.5589i | 0.399564 | + | 1.22973i | 0.925350 | + | 0.379115i | \(0.123772\pi\) |
−0.525785 | + | 0.850617i | \(0.676228\pi\) | |||||||
\(702\) | −4.32385 | − | 5.95127i | −0.163193 | − | 0.224616i | ||||
\(703\) | − | 16.7795i | − | 0.632852i | ||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −4.05936 | + | 6.43121i | −0.152884 | + | 0.242214i | ||||
\(706\) | 15.5273 | − | 11.2812i | 0.584376 | − | 0.424574i | ||||
\(707\) | 5.59255 | − | 1.81713i | 0.210329 | − | 0.0683402i | ||||
\(708\) | −0.0868968 | − | 0.0282345i | −0.00326578 | − | 0.00106112i | ||||
\(709\) | −3.33701 | − | 2.42448i | −0.125324 | − | 0.0910533i | 0.523357 | − | 0.852113i | \(-0.324679\pi\) |
−0.648682 | + | 0.761060i | \(0.724679\pi\) | |||||||
\(710\) | 7.84055 | + | 19.6624i | 0.294251 | + | 0.737918i | ||||
\(711\) | −0.140160 | + | 0.431368i | −0.00525641 | + | 0.0161776i | ||||
\(712\) | 15.9181 | − | 5.17212i | 0.596558 | − | 0.193833i | ||||
\(713\) | 5.40420 | + | 7.43824i | 0.202389 | + | 0.278564i | ||||
\(714\) | 5.92246 | 0.221642 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −1.96324 | −0.0733697 | ||||||||
\(717\) | 4.55174 | + | 6.26494i | 0.169988 | + | 0.233968i | ||||
\(718\) | −6.69310 | + | 2.17472i | −0.249784 | + | 0.0811598i | ||||
\(719\) | −9.07260 | + | 27.9226i | −0.338351 | + | 1.04134i | 0.626697 | + | 0.779263i | \(0.284406\pi\) |
−0.965048 | + | 0.262074i | \(0.915594\pi\) | |||||||
\(720\) | −0.114313 | + | 0.0455832i | −0.00426019 | + | 0.00169879i | ||||
\(721\) | 6.47703 | + | 4.70584i | 0.241217 | + | 0.175255i | ||||
\(722\) | 10.5125 | + | 3.41570i | 0.391233 | + | 0.127119i | ||||
\(723\) | 16.0962 | − | 5.22998i | 0.598625 | − | 0.194505i | ||||
\(724\) | −0.870284 | + | 0.632299i | −0.0323439 | + | 0.0234992i | ||||
\(725\) | −7.69084 | − | 16.1386i | −0.285630 | − | 0.599373i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 44.0893i | 1.63518i | 0.575799 | + | 0.817591i | \(0.304691\pi\) | ||||
−0.575799 | + | 0.817591i | \(0.695309\pi\) | |||||||
\(728\) | −1.68262 | − | 2.31593i | −0.0623621 | − | 0.0858340i | ||||
\(729\) | −8.04644 | − | 24.7644i | −0.298016 | − | 0.917200i | ||||
\(730\) | 7.82899 | + | 9.41666i | 0.289764 | + | 0.348526i | ||||
\(731\) | −54.5032 | − | 39.5989i | −2.01587 | − | 1.46462i | ||||
\(732\) | −4.82867 | + | 6.64610i | −0.178473 | + | 0.245647i | ||||
\(733\) | −46.5533 | − | 15.1261i | −1.71948 | − | 0.558694i | −0.727619 | − | 0.685982i | \(-0.759373\pi\) |
−0.991866 | + | 0.127287i | \(0.959373\pi\) | |||||||
\(734\) | −1.33507 | − | 4.10893i | −0.0492784 | − | 0.151663i | ||||
\(735\) | −26.1239 | + | 1.70769i | −0.963595 | + | 0.0629891i | ||||
\(736\) | −8.68849 | −0.320262 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | − | 0.676520i | − | 0.0249031i | ||||||
\(739\) | 16.7161 | − | 12.1450i | 0.614911 | − | 0.446759i | −0.236229 | − | 0.971697i | \(-0.575912\pi\) |
0.851140 | + | 0.524938i | \(0.175912\pi\) | |||||||
\(740\) | 5.47882 | − | 21.5572i | 0.201405 | − | 0.792458i | ||||
\(741\) | 2.23332 | − | 6.87347i | 0.0820432 | − | 0.252503i | ||||
\(742\) | 0.665696 | − | 0.916252i | 0.0244385 | − | 0.0336367i | ||||
\(743\) | −17.7294 | + | 24.4025i | −0.650429 | + | 0.895239i | −0.999118 | − | 0.0419994i | \(-0.986627\pi\) |
0.348688 | + | 0.937239i | \(0.386627\pi\) | |||||||
\(744\) | −9.03860 | + | 27.8179i | −0.331371 | + | 1.01986i | ||||
\(745\) | −27.0915 | − | 6.88539i | −0.992557 | − | 0.252261i | ||||
\(746\) | −2.09398 | + | 1.52137i | −0.0766661 | + | 0.0557012i | ||||
\(747\) | − | 0.595525i | − | 0.0217891i | ||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 3.31838 | 0.121251 | ||||||||
\(750\) | 13.7909 | − | 7.71385i | 0.503574 | − | 0.281670i | ||||
\(751\) | 3.73806 | + | 11.5046i | 0.136404 | + | 0.419808i | 0.995806 | − | 0.0914930i | \(-0.0291639\pi\) |
−0.859402 | + | 0.511301i | \(0.829164\pi\) | |||||||
\(752\) | 1.00894 | + | 0.327826i | 0.0367924 | + | 0.0119546i | ||||
\(753\) | −13.8895 | + | 19.1172i | −0.506161 | + | 0.696671i | ||||
\(754\) | 4.16758 | + | 3.02792i | 0.151774 | + | 0.110271i | ||||
\(755\) | −12.0116 | − | 14.4475i | −0.437147 | − | 0.525798i | ||||
\(756\) | −1.26648 | − | 3.89781i | −0.0460613 | − | 0.141762i | ||||
\(757\) | 12.1143 | + | 16.6739i | 0.440302 | + | 0.606023i | 0.970279 | − | 0.241988i | \(-0.0777996\pi\) |
−0.529977 | + | 0.848012i | \(0.677800\pi\) | |||||||
\(758\) | − | 15.7838i | − | 0.573293i | ||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −11.6476 | − | 7.35192i | −0.422503 | − | 0.266682i | ||||
\(761\) | 16.8640 | − | 12.2524i | 0.611319 | − | 0.444149i | −0.238560 | − | 0.971128i | \(-0.576675\pi\) |
0.849878 | + | 0.526979i | \(0.176675\pi\) | |||||||
\(762\) | 21.5828 | − | 7.01269i | 0.781864 | − | 0.254043i | ||||
\(763\) | −10.4742 | − | 3.40326i | −0.379190 | − | 0.123206i | ||||
\(764\) | 8.93895 | + | 6.49452i | 0.323400 | + | 0.234964i | ||||
\(765\) | 0.587394 | + | 1.47306i | 0.0212373 | + | 0.0532585i | ||||
\(766\) | 6.93916 | − | 21.3565i | 0.250722 | − | 0.771643i | ||||
\(767\) | 0.0653417 | − | 0.0212308i | 0.00235935 | − | 0.000766600i | ||||
\(768\) | −14.7057 | − | 20.2407i | −0.530648 | − | 0.730374i | ||||
\(769\) | 10.7167 | 0.386455 | 0.193228 | − | 0.981154i | \(-0.438104\pi\) | ||||
0.193228 | + | 0.981154i | \(0.438104\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 19.0466 | 0.685946 | ||||||||
\(772\) | −3.48091 | − | 4.79106i | −0.125281 | − | 0.172434i | ||||
\(773\) | 19.3600 | − | 6.29043i | 0.696329 | − | 0.226251i | 0.0605989 | − | 0.998162i | \(-0.480699\pi\) |
0.635731 | + | 0.771911i | \(0.280699\pi\) | |||||||
\(774\) | −0.236627 | + | 0.728264i | −0.00850539 | + | 0.0261769i | ||||
\(775\) | −5.62999 | + | 30.3179i | −0.202235 | + | 1.08905i | ||||
\(776\) | 11.7146 | + | 8.51113i | 0.420528 | + | 0.305532i | ||||
\(777\) | −7.27517 | − | 2.36385i | −0.260995 | − | 0.0848025i | ||||
\(778\) | −9.95490 | + | 3.23454i | −0.356900 | + | 0.115964i | ||||
\(779\) | −15.5597 | + | 11.3048i | −0.557483 | + | 0.405035i | ||||
\(780\) | 5.11353 | − | 8.10134i | 0.183094 | − | 0.290074i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 8.46898i | 0.302850i | ||||||||
\(783\) | 10.7304 | + | 14.7691i | 0.383474 | + | 0.527806i | ||||
\(784\) | 1.12849 | + | 3.47313i | 0.0403032 | + | 0.124040i | ||||
\(785\) | 24.0649 | − | 20.0075i | 0.858915 | − | 0.714099i | ||||
\(786\) | −20.6154 | − | 14.9780i | −0.735326 | − | 0.534246i | ||||
\(787\) | 8.35961 | − | 11.5060i | 0.297988 | − | 0.410145i | −0.633600 | − | 0.773661i | \(-0.718424\pi\) |
0.931588 | + | 0.363516i | \(0.118424\pi\) | |||||||
\(788\) | 20.1812 | + | 6.55727i | 0.718925 | + | 0.233593i | ||||
\(789\) | −13.4039 | − | 41.2530i | −0.477192 | − | 1.46865i | ||||
\(790\) | −8.10647 | + | 0.529911i | −0.288415 | + | 0.0188534i | ||||
\(791\) | 6.98764 | 0.248452 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | − | 6.17726i | − | 0.219361i | ||||||
\(794\) | −1.18348 | + | 0.859849i | −0.0420001 | + | 0.0305149i | ||||
\(795\) | 9.09277 | + | 2.31095i | 0.322487 | + | 0.0819610i | ||||
\(796\) | −0.602543 | + | 1.85444i | −0.0213566 | + | 0.0657288i | ||||
\(797\) | 26.4729 | − | 36.4368i | 0.937719 | − | 1.29066i | −0.0190529 | − | 0.999818i | \(-0.506065\pi\) |
0.956772 | − | 0.290841i | \(-0.0939349\pi\) | |||||||
\(798\) | −1.12487 | + | 1.54824i | −0.0398198 | + | 0.0548073i | ||||
\(799\) | 4.22443 | − | 13.0015i | 0.149450 | − | 0.459958i | ||||
\(800\) | −20.0514 | − | 21.1445i | −0.708925 | − | 0.747571i | ||||
\(801\) | 0.503771 | − | 0.366011i | 0.0177999 | − | 0.0129324i | ||||
\(802\) | − | 4.31920i | − | 0.152516i | ||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 16.2115 | 0.571737 | ||||||||
\(805\) | 0.128751 | + | 1.96960i | 0.00453787 | + | 0.0694194i | ||||
\(806\) | −2.74576 | − | 8.45060i | −0.0967154 | − | 0.297660i | ||||
\(807\) | −8.03960 | − | 2.61223i | −0.283007 | − | 0.0919547i | ||||
\(808\) | −15.7238 | + | 21.6419i | −0.553161 | + | 0.761361i | ||||
\(809\) | −19.2346 | − | 13.9748i | −0.676254 | − | 0.491327i | 0.195859 | − | 0.980632i | \(-0.437251\pi\) |
−0.872113 | + | 0.489305i | \(0.837251\pi\) | |||||||
\(810\) | −12.8227 | + | 10.6608i | −0.450545 | + | 0.374582i | ||||
\(811\) | 2.53354 | + | 7.79742i | 0.0889645 | + | 0.273804i | 0.985634 | − | 0.168896i | \(-0.0540204\pi\) |
−0.896669 | + | 0.442701i | \(0.854020\pi\) | |||||||
\(812\) | 1.68697 | + | 2.32192i | 0.0592010 | + | 0.0814832i | ||||
\(813\) | 41.0787i | 1.44069i | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −22.3910 | − | 14.1331i | −0.784323 | − | 0.495062i | ||||
\(816\) | 5.53658 | − | 4.02256i | 0.193819 | − | 0.140818i | ||||
\(817\) | 20.7038 | − | 6.72707i | 0.724334 | − | 0.235351i | ||||
\(818\) | 28.0035 | + | 9.09890i | 0.979121 | + | 0.318136i | ||||
\(819\) | −0.0861618 | − | 0.0626002i | −0.00301074 | − | 0.00218743i | ||||
\(820\) | −23.6812 | + | 9.44307i | −0.826983 | + | 0.329766i | ||||
\(821\) | 13.4229 | − | 41.3113i | 0.468461 | − | 1.44177i | −0.386116 | − | 0.922450i | \(-0.626184\pi\) |
0.854577 | − | 0.519324i | \(-0.173816\pi\) | |||||||
\(822\) | −5.41980 | + | 1.76100i | −0.189037 | + | 0.0614219i | ||||
\(823\) | 30.3768 | + | 41.8101i | 1.05887 | + | 1.45741i | 0.880859 | + | 0.473378i | \(0.156966\pi\) |
0.178009 | + | 0.984029i | \(0.443034\pi\) | |||||||
\(824\) | −36.4211 | −1.26879 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −0.0181927 | −0.000633004 | ||||||||
\(827\) | −14.8756 | − | 20.4745i | −0.517276 | − | 0.711969i | 0.467849 | − | 0.883808i | \(-0.345029\pi\) |
−0.985125 | + | 0.171839i | \(0.945029\pi\) | |||||||
\(828\) | −0.192622 | + | 0.0625867i | −0.00669408 | + | 0.00217504i | ||||
\(829\) | 12.9404 | − | 39.8264i | 0.449439 | − | 1.38323i | −0.428103 | − | 0.903730i | \(-0.640818\pi\) |
0.877542 | − | 0.479500i | \(-0.159182\pi\) | |||||||
\(830\) | 9.90770 | − | 3.95077i | 0.343901 | − | 0.137133i | ||||
\(831\) | 31.1920 | + | 22.6623i | 1.08204 | + | 0.786148i | ||||
\(832\) | 6.11079 | + | 1.98552i | 0.211854 | + | 0.0688354i | ||||
\(833\) | 44.7555 | − | 14.5419i | 1.55068 | − | 0.503848i | ||||
\(834\) | 9.07295 | − | 6.59189i | 0.314171 | − | 0.228258i | ||||
\(835\) | −16.5005 | − | 10.4151i | −0.571024 | − | 0.360428i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | − | 31.4885i | − | 1.08840i | ||||||
\(838\) | −1.35236 | − | 1.86137i | −0.0467167 | − | 0.0643000i | ||||
\(839\) | 4.44515 | + | 13.6808i | 0.153464 | + | 0.472313i | 0.998002 | − | 0.0631825i | \(-0.0201250\pi\) |
−0.844538 | + | 0.535495i | \(0.820125\pi\) | |||||||
\(840\) | −4.82848 | + | 4.01438i | −0.166598 | + | 0.138509i | ||||
\(841\) | 13.1189 | + | 9.53144i | 0.452376 | + | 0.328670i | ||||
\(842\) | −2.19854 | + | 3.02603i | −0.0757666 | + | 0.104284i | ||||
\(843\) | 26.4170 | + | 8.58341i | 0.909850 | + | 0.295628i | ||||
\(844\) | −3.63683 | − | 11.1930i | −0.125185 | − | 0.385279i | ||||
\(845\) | −1.42625 | − | 21.8185i | −0.0490646 | − | 0.750580i | ||||
\(846\) | −0.155383 | −0.00534218 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | − | 1.30870i | − | 0.0449408i | ||||||
\(849\) | 32.2060 | − | 23.3991i | 1.10531 | − | 0.803053i | ||||
\(850\) | −20.6103 | + | 19.5448i | −0.706928 | + | 0.670382i | ||||
\(851\) | 3.38025 | − | 10.4033i | 0.115873 | − | 0.356622i | ||||
\(852\) | 16.5467 | − | 22.7746i | 0.566882 | − | 0.780246i | ||||
\(853\) | −25.2756 | + | 34.7889i | −0.865420 | + | 1.19115i | 0.114830 | + | 0.993385i | \(0.463368\pi\) |
−0.980250 | + | 0.197763i | \(0.936632\pi\) | |||||||
\(854\) | −0.505464 | + | 1.55566i | −0.0172966 | + | 0.0532336i | ||||
\(855\) | −0.496651 | − | 0.126225i | −0.0169851 | − | 0.00431681i | ||||
\(856\) | −12.2129 | + | 8.87320i | −0.417429 | + | 0.303280i | ||||
\(857\) | 54.3052i | 1.85503i | 0.373784 | + | 0.927516i | \(0.378060\pi\) | ||||
−0.373784 | + | 0.927516i | \(0.621940\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −24.3361 | −0.830336 | −0.415168 | − | 0.909745i | \(-0.636277\pi\) | ||||
−0.415168 | + | 0.909745i | \(0.636277\pi\) | |||||||
\(860\) | 28.7953 | − | 1.88232i | 0.981913 | − | 0.0641865i | ||||
\(861\) | 2.70945 | + | 8.33884i | 0.0923380 | + | 0.284187i | ||||
\(862\) | 15.8554 | + | 5.15173i | 0.540037 | + | 0.175469i | ||||
\(863\) | −23.0118 | + | 31.6731i | −0.783332 | + | 1.07816i | 0.211575 | + | 0.977362i | \(0.432141\pi\) |
−0.994906 | + | 0.100802i | \(0.967859\pi\) | |||||||
\(864\) | 24.0736 | + | 17.4905i | 0.819002 | + | 0.595040i | ||||
\(865\) | −15.7820 | + | 13.1211i | −0.536604 | + | 0.446131i | ||||
\(866\) | −3.17431 | − | 9.76952i | −0.107867 | − | 0.331982i | ||||
\(867\) | −34.2415 | − | 47.1294i | −1.16290 | − | 1.60060i | ||||
\(868\) | − | 4.95043i | − | 0.168029i | ||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 6.03138 | − | 9.55548i | 0.204483 | − | 0.323961i | ||||
\(871\) | −9.86208 | + | 7.16522i | −0.334164 | + | 0.242784i | ||||
\(872\) | 47.6491 | − | 15.4821i | 1.61360 | − | 0.524291i | ||||
\(873\) | 0.512347 | + | 0.166472i | 0.0173403 | + | 0.00563421i | ||||
\(874\) | −2.21395 | − | 1.60853i | −0.0748881 | − | 0.0544094i | ||||
\(875\) | −4.49614 | + | 4.85881i | −0.151997 | + | 0.164258i | ||||
\(876\) | 5.03261 | − | 15.4888i | 0.170036 | − | 0.523317i | ||||
\(877\) | 40.9793 | − | 13.3150i | 1.38377 | − | 0.449615i | 0.479865 | − | 0.877342i | \(-0.340686\pi\) |
0.903908 | + | 0.427727i | \(0.140686\pi\) | |||||||
\(878\) | −5.01107 | − | 6.89714i | −0.169115 | − | 0.232767i | ||||
\(879\) | 23.3468 | 0.787466 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −38.1083 | −1.28390 | −0.641950 | − | 0.766746i | \(-0.721874\pi\) | ||||
−0.641950 | + | 0.766746i | \(0.721874\pi\) | |||||||
\(882\) | −0.314396 | − | 0.432729i | −0.0105863 | − | 0.0145707i | ||||
\(883\) | 27.6054 | − | 8.96955i | 0.928997 | − | 0.301849i | 0.194845 | − | 0.980834i | \(-0.437580\pi\) |
0.734152 | + | 0.678985i | \(0.237580\pi\) | |||||||
\(884\) | −5.32147 | + | 16.3778i | −0.178980 | + | 0.550845i | ||||
\(885\) | −0.0558205 | − | 0.139986i | −0.00187638 | − | 0.00470557i | ||||
\(886\) | −4.28533 | − | 3.11348i | −0.143969 | − | 0.104599i | ||||
\(887\) | −2.10349 | − | 0.683467i | −0.0706284 | − | 0.0229486i | 0.273490 | − | 0.961875i | \(-0.411822\pi\) |
−0.344118 | + | 0.938926i | \(0.611822\pi\) | |||||||
\(888\) | 33.0962 | − | 10.7536i | 1.11064 | − | 0.360868i | ||||
\(889\) | −7.69146 | + | 5.58817i | −0.257963 | + | 0.187421i | ||||
\(890\) | 9.43136 | + | 5.95304i | 0.316140 | + | 0.199546i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | − | 8.54894i | − | 0.286240i | ||||||
\(893\) | 2.59647 | + | 3.57374i | 0.0868877 | + | 0.119591i | ||||
\(894\) | −5.45973 | − | 16.8033i | −0.182601 | − | 0.561987i | ||||
\(895\) | −2.07019 | − | 2.49002i | −0.0691990 | − | 0.0832321i | ||||
\(896\) | 4.20706 | + | 3.05661i | 0.140548 | + | 0.102114i | ||||
\(897\) | 2.76933 | − | 3.81165i | 0.0924652 | − | 0.127267i | ||||
\(898\) | 10.4038 | + | 3.38041i | 0.347180 | + | 0.112806i | ||||
\(899\) | 6.81411 | + | 20.9717i | 0.227263 | + | 0.699444i | ||||
\(900\) | −0.596848 | − | 0.324331i | −0.0198949 | − | 0.0108110i | ||||
\(901\) | −16.8641 | −0.561825 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | − | 9.92432i | − | 0.330261i | ||||||
\(904\) | −25.7172 | + | 18.6846i | −0.855340 | + | 0.621441i | ||||
\(905\) | −1.71965 | − | 0.437055i | −0.0571632 | − | 0.0145282i | ||||
\(906\) | 3.66976 | − | 11.2944i | 0.121920 | − | 0.375230i | ||||
\(907\) | 15.6858 | − | 21.5897i | 0.520840 | − | 0.716874i | −0.464860 | − | 0.885384i | \(-0.653895\pi\) |
0.985700 | + | 0.168510i | \(0.0538954\pi\) | |||||||
\(908\) | −0.889924 | + | 1.22488i | −0.0295332 | + | 0.0406489i | ||||
\(909\) | −0.307546 | + | 0.946530i | −0.0102007 | + | 0.0313944i | ||||
\(910\) | 0.469868 | − | 1.84876i | 0.0155760 | − | 0.0612858i | ||||
\(911\) | 29.3460 | − | 21.3211i | 0.972276 | − | 0.706400i | 0.0163067 | − | 0.999867i | \(-0.494809\pi\) |
0.955969 | + | 0.293467i | \(0.0948092\pi\) | |||||||
\(912\) | 2.21138i | 0.0732261i | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | −10.8363 | −0.358434 | ||||||||
\(915\) | −13.5211 | + | 0.883861i | −0.446995 | + | 0.0292195i | ||||
\(916\) | 1.75788 | + | 5.41021i | 0.0580821 | + | 0.178758i | ||||
\(917\) | 10.1529 | + | 3.29887i | 0.335277 | + | 0.108938i | ||||
\(918\) | 17.0486 | − | 23.4654i | 0.562689 | − | 0.774475i | ||||
\(919\) | 24.0050 | + | 17.4406i | 0.791851 | + | 0.575313i | 0.908512 | − | 0.417859i | \(-0.137219\pi\) |
−0.116661 | + | 0.993172i | \(0.537219\pi\) | |||||||
\(920\) | −5.74048 | − | 6.90462i | −0.189258 | − | 0.227638i | ||||
\(921\) | 5.44976 | + | 16.7726i | 0.179576 | + | 0.552677i | ||||
\(922\) | −5.34174 | − | 7.35227i | −0.175921 | − | 0.242134i | ||||
\(923\) | 21.1680i | 0.696754i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 33.1188 | − | 15.7827i | 1.08894 | − | 0.518932i | ||||
\(926\) | 3.13652 | − | 2.27882i | 0.103073 | − | 0.0748866i | ||||
\(927\) | −1.28869 | + | 0.418721i | −0.0423262 | + | 0.0137526i | ||||
\(928\) | −19.8182 | − | 6.43933i | −0.650565 | − | 0.211381i | ||||
\(929\) | 22.4685 | + | 16.3243i | 0.737168 | + | 0.535584i | 0.891823 | − | 0.452385i | \(-0.149427\pi\) |
−0.154655 | + | 0.987968i | \(0.549427\pi\) | |||||||
\(930\) | −18.1043 | + | 7.21922i | −0.593662 | + | 0.236728i | ||||
\(931\) | −4.69896 | + | 14.4619i | −0.154002 | + | 0.473970i | ||||
\(932\) | −8.74093 | + | 2.84010i | −0.286319 | + | 0.0930305i | ||||
\(933\) | −3.52734 | − | 4.85496i | −0.115480 | − | 0.158944i | ||||
\(934\) | −19.2786 | −0.630817 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0.484498 | 0.0158363 | ||||||||
\(937\) | 17.7759 | + | 24.4664i | 0.580712 | + | 0.799282i | 0.993773 | − | 0.111422i | \(-0.0355404\pi\) |
−0.413061 | + | 0.910703i | \(0.635540\pi\) | |||||||
\(938\) | 3.06994 | − | 0.997483i | 0.100237 | − | 0.0325690i | ||||
\(939\) | 13.3309 | − | 41.0282i | 0.435037 | − | 1.33891i | ||||
\(940\) | 2.16888 | + | 5.43909i | 0.0707411 | + | 0.177404i | ||||
\(941\) | −4.85954 | − | 3.53066i | −0.158416 | − | 0.115096i | 0.505753 | − | 0.862678i | \(-0.331215\pi\) |
−0.664169 | + | 0.747582i | \(0.731215\pi\) | |||||||
\(942\) | 18.8129 | + | 6.11267i | 0.612956 | + | 0.199162i | ||||
\(943\) | −11.9244 | + | 3.87446i | −0.388311 | + | 0.126170i | ||||
\(944\) | −0.0170073 | + | 0.0123565i | −0.000553541 | + | 0.000402171i | ||||
\(945\) | 3.60821 | − | 5.71646i | 0.117375 | − | 0.185956i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | − | 10.0218i | − | 0.325665i | −0.986654 | − | 0.162833i | \(-0.947937\pi\) | ||
0.986654 | − | 0.162833i | \(-0.0520630\pi\) | |||||||
\(948\) | 6.35023 | + | 8.74034i | 0.206246 | + | 0.283873i | ||||
\(949\) | 3.78425 | + | 11.6467i | 0.122842 | + | 0.378068i | ||||
\(950\) | −1.19484 | − | 9.10012i | −0.0387656 | − | 0.295247i | ||||
\(951\) | 9.95492 | + | 7.23267i | 0.322810 | + | 0.234535i | ||||
\(952\) | 6.63445 | − | 9.13154i | 0.215024 | − | 0.295955i | ||||
\(953\) | 9.30263 | + | 3.02261i | 0.301342 | + | 0.0979118i | 0.455785 | − | 0.890090i | \(-0.349359\pi\) |
−0.154444 | + | 0.988002i | \(0.549359\pi\) | |||||||
\(954\) | 0.0592331 | + | 0.182301i | 0.00191774 | + | 0.00590220i | ||||
\(955\) | 1.18879 | + | 18.1858i | 0.0384682 | + | 0.588479i | ||||
\(956\) | 5.96237 | 0.192837 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | − | 34.6967i | − | 1.12100i | ||||||
\(959\) | 1.93145 | − | 1.40328i | 0.0623698 | − | 0.0453143i | ||||
\(960\) | 3.47166 | − | 13.6597i | 0.112047 | − | 0.440866i | ||||
\(961\) | 2.17387 | − | 6.69048i | 0.0701248 | − | 0.215822i | ||||
\(962\) | −6.21374 | + | 8.55248i | −0.200339 | + | 0.275743i | ||||
\(963\) | −0.330118 | + | 0.454369i | −0.0106379 | + | 0.0146418i | ||||
\(964\) | 4.02679 | − | 12.3932i | 0.129694 | − | 0.399158i | ||||
\(965\) | 2.40606 | − | 9.46698i | 0.0774538 | − | 0.304753i | ||||
\(966\) | −1.00931 | + | 0.733309i | −0.0324741 | + | 0.0235938i | ||||
\(967\) | − | 1.22635i | − | 0.0394367i | −0.999806 | − | 0.0197184i | \(-0.993723\pi\) | ||
0.999806 | − | 0.0197184i | \(-0.00627695\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 28.4963 | 0.915432 | ||||||||
\(970\) | 0.629388 | + | 9.62826i | 0.0202084 | + | 0.309145i | ||||
\(971\) | −13.7966 | − | 42.4615i | −0.442753 | − | 1.36265i | −0.884929 | − | 0.465726i | \(-0.845793\pi\) |
0.442176 | − | 0.896928i | \(-0.354207\pi\) | |||||||
\(972\) | 1.34220 | + | 0.436106i | 0.0430509 | + | 0.0139881i | ||||
\(973\) | −2.76159 | + | 3.80100i | −0.0885324 | + | 0.121854i | ||||
\(974\) | −27.2493 | − | 19.7978i | −0.873123 | − | 0.634361i | ||||
\(975\) | 15.6672 | − | 2.05709i | 0.501753 | − | 0.0658795i | ||||
\(976\) | 0.584080 | + | 1.79761i | 0.0186959 | + | 0.0575402i | ||||
\(977\) | −27.7700 | − | 38.2221i | −0.888441 | − | 1.22283i | −0.974011 | − | 0.226502i | \(-0.927271\pi\) |
0.0855696 | − | 0.996332i | \(-0.472729\pi\) | |||||||
\(978\) | − | 16.7361i | − | 0.535162i | ||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −10.7590 | + | 17.0454i | −0.343683 | + | 0.544495i | ||||
\(981\) | 1.50798 | − | 1.09561i | 0.0481460 | − | 0.0349801i | ||||
\(982\) | 6.91639 | − | 2.24727i | 0.220711 | − | 0.0717133i | ||||
\(983\) | 13.2530 | + | 4.30617i | 0.422706 | + | 0.137345i | 0.512643 | − | 0.858602i | \(-0.328667\pi\) |
−0.0899369 | + | 0.995947i | \(0.528667\pi\) | |||||||
\(984\) | −32.2695 | − | 23.4452i | −1.02871 | − | 0.747405i | ||||
\(985\) | 12.9639 | + | 32.5107i | 0.413065 | + | 1.03588i | ||||
\(986\) | −6.27664 | + | 19.3175i | −0.199889 | + | 0.615195i | ||||
\(987\) | 1.91526 | − | 0.622307i | 0.0609635 | − | 0.0198082i | ||||
\(988\) | −3.27075 | − | 4.50181i | −0.104057 | − | 0.143222i | ||||
\(989\) | 14.1916 | 0.451265 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 36.5755 | 1.16186 | 0.580930 | − | 0.813953i | \(-0.302689\pi\) | ||||
0.580930 | + | 0.813953i | \(0.302689\pi\) | |||||||
\(992\) | 21.1267 | + | 29.0784i | 0.670773 | + | 0.923240i | ||||
\(993\) | 9.44992 | − | 3.07046i | 0.299884 | − | 0.0974382i | ||||
\(994\) | 1.73211 | − | 5.33088i | 0.0549392 | − | 0.169085i | ||||
\(995\) | −2.98739 | + | 1.19125i | −0.0947067 | + | 0.0377650i | ||||
\(996\) | −11.4759 | − | 8.33773i | −0.363628 | − | 0.264191i | ||||
\(997\) | 18.3949 | + | 5.97686i | 0.582572 | + | 0.189289i | 0.585452 | − | 0.810707i | \(-0.300917\pi\) |
−0.00288064 | + | 0.999996i | \(0.500917\pi\) | |||||||
\(998\) | −23.1156 | + | 7.51071i | −0.731711 | + | 0.237747i | ||||
\(999\) | −30.3084 | + | 22.0204i | −0.958916 | + | 0.696693i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))