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: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 9.3 | ||
Root | \(0.471815 + 0.649397i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 605.9 |
Dual form | 605.2.j.d.269.3 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.763412 | + | 0.248048i | 0.539814 | + | 0.175396i | 0.566219 | − | 0.824255i | \(-0.308406\pi\) |
−0.0264046 | + | 0.999651i | \(0.508406\pi\) | |||||||
\(3\) | −1.03494 | − | 1.42447i | −0.597522 | − | 0.822418i | 0.397957 | − | 0.917404i | \(-0.369719\pi\) |
−0.995479 | + | 0.0949859i | \(0.969719\pi\) | |||||||
\(4\) | −1.09676 | − | 0.796845i | −0.548382 | − | 0.398423i | ||||
\(5\) | 1.42953 | − | 1.71943i | 0.639305 | − | 0.768953i | ||||
\(6\) | −0.436748 | − | 1.34417i | −0.178302 | − | 0.548756i | ||||
\(7\) | 0.348029 | − | 0.479022i | 0.131543 | − | 0.181053i | −0.738165 | − | 0.674620i | \(-0.764307\pi\) |
0.869708 | + | 0.493567i | \(0.164307\pi\) | |||||||
\(8\) | −1.58326 | − | 2.17917i | −0.559766 | − | 0.770451i | ||||
\(9\) | −0.0309674 | + | 0.0953077i | −0.0103225 | + | 0.0317692i | ||||
\(10\) | 1.51782 | − | 0.958043i | 0.479977 | − | 0.302960i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 2.38699i | 0.689065i | ||||||||
\(13\) | 1.70704 | + | 0.554651i | 0.473448 | + | 0.153833i | 0.536016 | − | 0.844208i | \(-0.319929\pi\) |
−0.0625674 | + | 0.998041i | \(0.519929\pi\) | |||||||
\(14\) | 0.384510 | − | 0.279363i | 0.102765 | − | 0.0746629i | ||||
\(15\) | −3.92875 | − | 0.256818i | −1.01440 | − | 0.0663102i | ||||
\(16\) | 0.169713 | + | 0.522322i | 0.0424281 | + | 0.130580i | ||||
\(17\) | −6.73074 | + | 2.18695i | −1.63244 | + | 0.530413i | −0.974831 | − | 0.222944i | \(-0.928433\pi\) |
−0.657612 | + | 0.753357i | \(0.728433\pi\) | |||||||
\(18\) | −0.0472817 | + | 0.0650777i | −0.0111444 | + | 0.0153390i | ||||
\(19\) | 1.85009 | − | 1.34417i | 0.424441 | − | 0.308374i | −0.354981 | − | 0.934873i | \(-0.615513\pi\) |
0.779422 | + | 0.626499i | \(0.215513\pi\) | |||||||
\(20\) | −2.93798 | + | 0.746695i | −0.656952 | + | 0.166966i | ||||
\(21\) | −1.04254 | −0.227501 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.49081i | 0.310855i | 0.987847 | + | 0.155428i | \(0.0496756\pi\) | ||||
−0.987847 | + | 0.155428i | \(0.950324\pi\) | |||||||
\(24\) | −1.46558 | + | 4.51060i | −0.299161 | + | 0.920723i | ||||
\(25\) | −0.912887 | − | 4.91596i | −0.182577 | − | 0.983191i | ||||
\(26\) | 1.16560 | + | 0.846855i | 0.228592 | + | 0.166082i | ||||
\(27\) | −4.85588 | + | 1.57777i | −0.934515 | + | 0.303642i | ||||
\(28\) | −0.763412 | + | 0.248048i | −0.144271 | + | 0.0468766i | ||||
\(29\) | −2.89263 | − | 2.10162i | −0.537149 | − | 0.390261i | 0.285876 | − | 0.958267i | \(-0.407715\pi\) |
−0.823025 | + | 0.568005i | \(0.807715\pi\) | |||||||
\(30\) | −2.93556 | − | 1.17058i | −0.535957 | − | 0.213717i | ||||
\(31\) | 1.90578 | − | 5.86539i | 0.342288 | − | 1.05346i | −0.620731 | − | 0.784023i | \(-0.713164\pi\) |
0.963020 | − | 0.269432i | \(-0.0868358\pi\) | |||||||
\(32\) | 5.82804i | 1.03026i | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −5.68079 | −0.974248 | ||||||||
\(35\) | −0.326126 | − | 1.28319i | −0.0551253 | − | 0.216898i | ||||
\(36\) | 0.109909 | − | 0.0798539i | 0.0183182 | − | 0.0133090i | ||||
\(37\) | −4.31283 | + | 5.93610i | −0.709025 | + | 0.975889i | 0.290792 | + | 0.956786i | \(0.406081\pi\) |
−0.999818 | + | 0.0191031i | \(0.993919\pi\) | |||||||
\(38\) | 1.74580 | − | 0.567246i | 0.283207 | − | 0.0920194i | ||||
\(39\) | −0.976598 | − | 3.00566i | −0.156381 | − | 0.481291i | ||||
\(40\) | −6.01024 | − | 0.392882i | −0.950302 | − | 0.0621202i | ||||
\(41\) | 6.80400 | − | 4.94339i | 1.06261 | − | 0.772028i | 0.0880369 | − | 0.996117i | \(-0.471941\pi\) |
0.974569 | + | 0.224089i | \(0.0719406\pi\) | |||||||
\(42\) | −0.795888 | − | 0.258600i | −0.122808 | − | 0.0399028i | ||||
\(43\) | − | 9.51936i | − | 1.45169i | −0.687859 | − | 0.725844i | \(-0.741449\pi\) | ||
0.687859 | − | 0.725844i | \(-0.258551\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.119606 | + | 0.189492i | 0.0178299 | + | 0.0282477i | ||||
\(46\) | −0.369792 | + | 1.13810i | −0.0545228 | + | 0.167804i | ||||
\(47\) | 1.13540 | + | 1.56274i | 0.165615 | + | 0.227949i | 0.883756 | − | 0.467948i | \(-0.155007\pi\) |
−0.718141 | + | 0.695898i | \(0.755007\pi\) | |||||||
\(48\) | 0.568389 | − | 0.782321i | 0.0820400 | − | 0.112918i | ||||
\(49\) | 2.05478 | + | 6.32397i | 0.293540 | + | 0.903424i | ||||
\(50\) | 0.522483 | − | 3.97934i | 0.0738902 | − | 0.562764i | ||||
\(51\) | 10.0811 | + | 7.32438i | 1.41164 | + | 1.02562i | ||||
\(52\) | −1.43025 | − | 1.96857i | −0.198340 | − | 0.272991i | ||||
\(53\) | 2.26628 | + | 0.736359i | 0.311298 | + | 0.101147i | 0.460499 | − | 0.887660i | \(-0.347670\pi\) |
−0.149202 | + | 0.988807i | \(0.547670\pi\) | |||||||
\(54\) | −4.09840 | −0.557722 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −1.59489 | −0.213126 | ||||||||
\(57\) | −3.82947 | − | 1.24427i | −0.507225 | − | 0.164807i | ||||
\(58\) | −1.68697 | − | 2.32192i | −0.221510 | − | 0.304882i | ||||
\(59\) | −0.0309674 | − | 0.0224991i | −0.00403161 | − | 0.00292913i | 0.585768 | − | 0.810479i | \(-0.300793\pi\) |
−0.589799 | + | 0.807550i | \(0.700793\pi\) | |||||||
\(60\) | 4.10427 | + | 3.41228i | 0.529859 | + | 0.440523i | ||||
\(61\) | 1.06351 | + | 3.27314i | 0.136168 | + | 0.419082i | 0.995770 | − | 0.0918822i | \(-0.0292883\pi\) |
−0.859602 | + | 0.510965i | \(0.829288\pi\) | |||||||
\(62\) | 2.90979 | − | 4.00499i | 0.369544 | − | 0.508634i | ||||
\(63\) | 0.0348769 | + | 0.0480039i | 0.00439408 | + | 0.00604793i | ||||
\(64\) | −1.10621 | + | 3.40455i | −0.138276 | + | 0.425569i | ||||
\(65\) | 3.39395 | − | 2.14225i | 0.420968 | − | 0.265713i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 6.79162i | − | 0.829728i | −0.909883 | − | 0.414864i | \(-0.863829\pi\) | ||
0.909883 | − | 0.414864i | \(-0.136171\pi\) | |||||||
\(68\) | 9.12469 | + | 2.96479i | 1.10653 | + | 0.359534i | ||||
\(69\) | 2.12361 | − | 1.54290i | 0.255653 | − | 0.185743i | ||||
\(70\) | 0.0693234 | − | 1.06050i | 0.00828574 | − | 0.126754i | ||||
\(71\) | −3.64439 | − | 11.2163i | −0.432510 | − | 1.33113i | −0.895617 | − | 0.444826i | \(-0.853265\pi\) |
0.463107 | − | 0.886302i | \(-0.346735\pi\) | |||||||
\(72\) | 0.256721 | − | 0.0834136i | 0.0302548 | − | 0.00983038i | ||||
\(73\) | −4.01031 | + | 5.51972i | −0.469372 | + | 0.646035i | −0.976419 | − | 0.215884i | \(-0.930737\pi\) |
0.507048 | + | 0.861918i | \(0.330737\pi\) | |||||||
\(74\) | −4.76490 | + | 3.46191i | −0.553909 | + | 0.402438i | ||||
\(75\) | −6.05785 | + | 6.38809i | −0.699501 | + | 0.737633i | ||||
\(76\) | −3.10021 | −0.355619 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | − | 2.53680i | − | 0.287236i | ||||||
\(79\) | 1.39863 | − | 4.30453i | 0.157358 | − | 0.484298i | −0.841034 | − | 0.540982i | \(-0.818053\pi\) |
0.998392 | + | 0.0566840i | \(0.0180528\pi\) | |||||||
\(80\) | 1.14071 | + | 0.454865i | 0.127535 | + | 0.0508555i | ||||
\(81\) | 7.51625 | + | 5.46087i | 0.835139 | + | 0.606764i | ||||
\(82\) | 6.42045 | − | 2.08613i | 0.709020 | − | 0.230375i | ||||
\(83\) | 5.65177 | − | 1.83637i | 0.620363 | − | 0.201568i | 0.0180613 | − | 0.999837i | \(-0.494251\pi\) |
0.602301 | + | 0.798269i | \(0.294251\pi\) | |||||||
\(84\) | 1.14342 | + | 0.830744i | 0.124757 | + | 0.0906416i | ||||
\(85\) | −5.86148 | + | 14.6993i | −0.635767 | + | 1.59437i | ||||
\(86\) | 2.36125 | − | 7.26720i | 0.254621 | − | 0.783642i | ||||
\(87\) | 6.29552i | 0.674951i | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 6.21375 | 0.658656 | 0.329328 | − | 0.944216i | \(-0.393178\pi\) | ||||
0.329328 | + | 0.944216i | \(0.393178\pi\) | |||||||
\(90\) | 0.0443060 | + | 0.174328i | 0.00467026 | + | 0.0183758i | ||||
\(91\) | 0.859791 | − | 0.624675i | 0.0901306 | − | 0.0654837i | ||||
\(92\) | 1.18795 | − | 1.63507i | 0.123852 | − | 0.170467i | ||||
\(93\) | −10.3274 | + | 3.35559i | −1.07091 | + | 0.347958i | ||||
\(94\) | 0.479142 | + | 1.47465i | 0.0494197 | + | 0.152098i | ||||
\(95\) | 0.333554 | − | 5.10264i | 0.0342219 | − | 0.523520i | ||||
\(96\) | 8.30186 | − | 6.03166i | 0.847305 | − | 0.615603i | ||||
\(97\) | 5.11260 | + | 1.66119i | 0.519106 | + | 0.168668i | 0.556840 | − | 0.830620i | \(-0.312014\pi\) |
−0.0377334 | + | 0.999288i | \(0.512014\pi\) | |||||||
\(98\) | 5.33748i | 0.539167i | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.91604 | + | 6.11907i | −0.291604 | + | 0.611907i | ||||
\(101\) | 3.06894 | − | 9.44523i | 0.305371 | − | 0.939835i | −0.674167 | − | 0.738579i | \(-0.735497\pi\) |
0.979538 | − | 0.201257i | \(-0.0645026\pi\) | |||||||
\(102\) | 5.87927 | + | 8.09212i | 0.582135 | + | 0.801239i | ||||
\(103\) | 7.94766 | − | 10.9390i | 0.783107 | − | 1.07785i | −0.211826 | − | 0.977307i | \(-0.567941\pi\) |
0.994932 | − | 0.100546i | \(-0.0320590\pi\) | |||||||
\(104\) | −1.49401 | − | 4.59808i | −0.146499 | − | 0.450879i | ||||
\(105\) | −1.49034 | + | 1.79258i | −0.145443 | + | 0.174938i | ||||
\(106\) | 1.54745 | + | 1.12429i | 0.150302 | + | 0.109201i | ||||
\(107\) | 3.29418 | + | 4.53405i | 0.318461 | + | 0.438323i | 0.937996 | − | 0.346645i | \(-0.112679\pi\) |
−0.619536 | + | 0.784968i | \(0.712679\pi\) | |||||||
\(108\) | 6.58300 | + | 2.13895i | 0.633449 | + | 0.205820i | ||||
\(109\) | 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 | ||||||||
\(112\) | 0.309268 | + | 0.100487i | 0.0292231 | + | 0.00949516i | ||||
\(113\) | 6.93668 | + | 9.54752i | 0.652548 | + | 0.898155i | 0.999206 | − | 0.0398362i | \(-0.0126836\pi\) |
−0.346658 | + | 0.937992i | \(0.612684\pi\) | |||||||
\(114\) | −2.61482 | − | 1.89978i | −0.244901 | − | 0.177931i | ||||
\(115\) | 2.56335 | + | 2.13116i | 0.239033 | + | 0.198732i | ||||
\(116\) | 1.49787 | + | 4.60997i | 0.139074 | + | 0.428025i | ||||
\(117\) | −0.105725 | + | 0.145518i | −0.00977429 | + | 0.0134532i | ||||
\(118\) | −0.0180600 | − | 0.0248575i | −0.00166256 | − | 0.00228832i | ||||
\(119\) | −1.29490 | + | 3.98529i | −0.118703 | + | 0.365331i | ||||
\(120\) | 5.66057 | + | 8.96801i | 0.516737 | + | 0.818664i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 2.76255i | 0.250110i | ||||||||
\(123\) | −14.0834 | − | 4.57598i | −1.26986 | − | 0.412603i | ||||
\(124\) | −6.76400 | + | 4.91433i | −0.607425 | + | 0.441320i | ||||
\(125\) | −9.75765 | − | 5.45786i | −0.872751 | − | 0.488166i | ||||
\(126\) | 0.0147182 | + | 0.0452979i | 0.00131120 | + | 0.00403546i | ||||
\(127\) | 15.2707 | − | 4.96177i | 1.35506 | − | 0.440286i | 0.460669 | − | 0.887572i | \(-0.347610\pi\) |
0.894391 | + | 0.447287i | \(0.147610\pi\) | |||||||
\(128\) | 5.16229 | − | 7.10528i | 0.456286 | − | 0.628024i | ||||
\(129\) | −13.5600 | + | 9.85195i | −1.19390 | + | 0.867416i | ||||
\(130\) | 3.12236 | − | 0.793557i | 0.273849 | − | 0.0695996i | ||||
\(131\) | −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 | ||||||
\(134\) | 1.68464 | − | 5.18480i | 0.145531 | − | 0.447899i | ||||
\(135\) | −4.22876 | + | 10.6048i | −0.363954 | + | 0.912718i | ||||
\(136\) | 15.4222 | + | 11.2049i | 1.32244 | + | 0.960811i | ||||
\(137\) | −3.83473 | + | 1.24598i | −0.327623 | + | 0.106451i | −0.468210 | − | 0.883617i | \(-0.655101\pi\) |
0.140587 | + | 0.990068i | \(0.455101\pi\) | |||||||
\(138\) | 2.00390 | − | 0.651108i | 0.170584 | − | 0.0554260i | ||||
\(139\) | −6.41949 | − | 4.66403i | −0.544494 | − | 0.395598i | 0.281258 | − | 0.959632i | \(-0.409248\pi\) |
−0.825751 | + | 0.564035i | \(0.809248\pi\) | |||||||
\(140\) | −0.664820 | + | 1.66723i | −0.0561875 | + | 0.140906i | ||||
\(141\) | 1.05101 | − | 3.23468i | 0.0885111 | − | 0.272409i | ||||
\(142\) | − | 9.46663i | − | 0.794422i | ||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −0.0550368 | −0.00458640 | ||||||||
\(145\) | −7.74870 | + | 1.96935i | −0.643495 | + | 0.163546i | ||||
\(146\) | −4.43068 | + | 3.21907i | −0.366685 | + | 0.266412i | ||||
\(147\) | 6.88173 | − | 9.47189i | 0.567596 | − | 0.781228i | ||||
\(148\) | 9.46031 | − | 3.07384i | 0.777633 | − | 0.252668i | ||||
\(149\) | 3.86298 | + | 11.8890i | 0.316468 | + | 0.973988i | 0.975146 | + | 0.221563i | \(0.0711160\pi\) |
−0.658678 | + | 0.752425i | \(0.728884\pi\) | |||||||
\(150\) | −6.20919 | + | 3.37411i | −0.506978 | + | 0.275495i | ||||
\(151\) | 6.79775 | − | 4.93885i | 0.553193 | − | 0.401918i | −0.275768 | − | 0.961224i | \(-0.588932\pi\) |
0.828961 | + | 0.559306i | \(0.188932\pi\) | |||||||
\(152\) | −5.85835 | − | 1.90349i | −0.475175 | − | 0.154394i | ||||
\(153\) | − | 0.709215i | − | 0.0573367i | ||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −7.36076 | − | 11.6616i | −0.591231 | − | 0.936683i | ||||
\(156\) | −1.32395 | + | 4.07470i | −0.106001 | + | 0.326237i | ||||
\(157\) | −8.22657 | − | 11.3229i | −0.656552 | − | 0.903666i | 0.342809 | − | 0.939405i | \(-0.388621\pi\) |
−0.999361 | + | 0.0357391i | \(0.988621\pi\) | |||||||
\(158\) | 2.13546 | − | 2.93921i | 0.169888 | − | 0.233831i | ||||
\(159\) | −1.29654 | − | 3.99034i | −0.102822 | − | 0.316454i | ||||
\(160\) | 10.0209 | + | 8.33135i | 0.792222 | + | 0.658651i | ||||
\(161\) | 0.714130 | + | 0.518846i | 0.0562813 | + | 0.0408908i | ||||
\(162\) | 4.38344 | + | 6.03329i | 0.344395 | + | 0.474020i | ||||
\(163\) | −11.2619 | − | 3.65922i | −0.882101 | − | 0.286612i | −0.167272 | − | 0.985911i | \(-0.553496\pi\) |
−0.714830 | + | 0.699299i | \(0.753496\pi\) | |||||||
\(164\) | −11.4015 | −0.890307 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.77014 | 0.370235 | ||||||||
\(167\) | −8.29919 | − | 2.69657i | −0.642210 | − | 0.208667i | −0.0302340 | − | 0.999543i | \(-0.509625\pi\) |
−0.611976 | + | 0.790876i | \(0.709625\pi\) | |||||||
\(168\) | 1.65061 | + | 2.27187i | 0.127347 | + | 0.175278i | ||||
\(169\) | −7.91087 | − | 5.74758i | −0.608528 | − | 0.442122i | ||||
\(170\) | −8.12087 | + | 9.76773i | −0.622842 | + | 0.749151i | ||||
\(171\) | 0.0708175 | + | 0.217954i | 0.00541555 | + | 0.0166673i | ||||
\(172\) | −7.58546 | + | 10.4405i | −0.578386 | + | 0.796080i | ||||
\(173\) | 5.39505 | + | 7.42565i | 0.410178 | + | 0.564562i | 0.963262 | − | 0.268564i | \(-0.0865490\pi\) |
−0.553084 | + | 0.833126i | \(0.686549\pi\) | |||||||
\(174\) | −1.56159 | + | 4.80608i | −0.118384 | + | 0.364348i | ||||
\(175\) | −2.67256 | − | 1.27361i | −0.202027 | − | 0.0962755i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.0673973i | 0.00506589i | ||||||||
\(178\) | 4.74365 | + | 1.54130i | 0.355552 | + | 0.115526i | ||||
\(179\) | 1.17159 | − | 0.851209i | 0.0875687 | − | 0.0636224i | −0.543139 | − | 0.839642i | \(-0.682765\pi\) |
0.630708 | + | 0.776020i | \(0.282765\pi\) | |||||||
\(180\) | 0.0198156 | − | 0.303135i | 0.00147697 | − | 0.0225944i | ||||
\(181\) | 0.245206 | + | 0.754665i | 0.0182260 | + | 0.0560938i | 0.959756 | − | 0.280836i | \(-0.0906116\pi\) |
−0.941530 | + | 0.336930i | \(0.890612\pi\) | |||||||
\(182\) | 0.811324 | − | 0.263615i | 0.0601393 | − | 0.0195404i | ||||
\(183\) | 3.56182 | − | 4.90243i | 0.263298 | − | 0.362398i | ||||
\(184\) | 3.24872 | − | 2.36033i | 0.239499 | − | 0.174006i | ||||
\(185\) | 4.04140 | + | 15.9015i | 0.297129 | + | 1.16910i | ||||
\(186\) | −8.71644 | −0.639120 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | − | 2.61869i | − | 0.190988i | ||||||
\(189\) | −0.934204 | + | 2.87518i | −0.0679533 | + | 0.209139i | ||||
\(190\) | 1.52034 | − | 3.81268i | 0.110297 | − | 0.276601i | ||||
\(191\) | 6.59373 | + | 4.79062i | 0.477105 | + | 0.346637i | 0.800204 | − | 0.599728i | \(-0.204725\pi\) |
−0.323099 | + | 0.946365i | \(0.604725\pi\) | |||||||
\(192\) | 5.99454 | − | 1.94774i | 0.432618 | − | 0.140566i | ||||
\(193\) | 4.15456 | − | 1.34990i | 0.299052 | − | 0.0971678i | −0.155648 | − | 0.987813i | \(-0.549747\pi\) |
0.454700 | + | 0.890645i | \(0.349747\pi\) | |||||||
\(194\) | 3.49097 | + | 2.53634i | 0.250637 | + | 0.182098i | ||||
\(195\) | −6.56410 | − | 2.61749i | −0.470065 | − | 0.187442i | ||||
\(196\) | 2.78561 | − | 8.57324i | 0.198972 | − | 0.612374i | ||||
\(197\) | − | 15.6525i | − | 1.11520i | −0.830111 | − | 0.557599i | \(-0.811723\pi\) | ||
0.830111 | − | 0.557599i | \(-0.188277\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.43830 | −0.101959 | −0.0509793 | − | 0.998700i | \(-0.516234\pi\) | ||||
−0.0509793 | + | 0.998700i | \(0.516234\pi\) | |||||||
\(200\) | −9.26735 | + | 9.77255i | −0.655301 | + | 0.691024i | ||||
\(201\) | −9.67446 | + | 7.02890i | −0.682383 | + | 0.495781i | ||||
\(202\) | 4.68573 | − | 6.44936i | 0.329687 | − | 0.453775i | ||||
\(203\) | −2.01344 | + | 0.654208i | −0.141316 | + | 0.0459164i | ||||
\(204\) | −5.22023 | − | 16.0662i | −0.365489 | − | 1.12486i | ||||
\(205\) | 1.22669 | − | 18.7657i | 0.0856761 | − | 1.31066i | ||||
\(206\) | 8.78074 | − | 6.37958i | 0.611783 | − | 0.444486i | ||||
\(207\) | −0.142086 | − | 0.0461665i | −0.00987564 | − | 0.00320879i | ||||
\(208\) | 0.985756i | 0.0683499i | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −1.58239 | + | 0.998799i | −0.109195 | + | 0.0689237i | ||||
\(211\) | −2.68267 | + | 8.25641i | −0.184683 | + | 0.568395i | −0.999943 | − | 0.0107002i | \(-0.996594\pi\) |
0.815260 | + | 0.579095i | \(0.196594\pi\) | |||||||
\(212\) | −1.89881 | − | 2.61349i | −0.130411 | − | 0.179495i | ||||
\(213\) | −12.2055 | + | 16.7995i | −0.836310 | + | 1.15108i | ||||
\(214\) | 1.39016 | + | 4.27846i | 0.0950292 | + | 0.292470i | ||||
\(215\) | −16.3679 | − | 13.6082i | −1.11628 | − | 0.928072i | ||||
\(216\) | 11.1263 | + | 8.08375i | 0.757051 | + | 0.550030i | ||||
\(217\) | −2.14638 | − | 2.95424i | −0.145706 | − | 0.200547i | ||||
\(218\) | 14.1995 | + | 4.61371i | 0.961715 | + | 0.312480i | ||||
\(219\) | 12.0131 | 0.811770 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −12.7026 | −0.854472 | ||||||||
\(222\) | 9.86276 | + | 3.20461i | 0.661945 | + | 0.215079i | ||||
\(223\) | −3.70660 | − | 5.10169i | −0.248212 | − | 0.341635i | 0.666672 | − | 0.745351i | \(-0.267718\pi\) |
−0.914884 | + | 0.403717i | \(0.867718\pi\) | |||||||
\(224\) | 2.79175 | + | 2.02833i | 0.186532 | + | 0.135523i | ||||
\(225\) | 0.496798 | + | 0.0652290i | 0.0331199 | + | 0.00434860i | ||||
\(226\) | 2.92731 | + | 9.00932i | 0.194721 | + | 0.599291i | ||||
\(227\) | 0.656444 | − | 0.903517i | 0.0435697 | − | 0.0599686i | −0.786676 | − | 0.617366i | \(-0.788200\pi\) |
0.830246 | + | 0.557397i | \(0.188200\pi\) | |||||||
\(228\) | 3.20853 | + | 4.41616i | 0.212490 | + | 0.292467i | ||||
\(229\) | 1.29669 | − | 3.99079i | 0.0856874 | − | 0.263719i | −0.899028 | − | 0.437892i | \(-0.855725\pi\) |
0.984715 | + | 0.174173i | \(0.0557253\pi\) | |||||||
\(230\) | 1.42826 | + | 2.26278i | 0.0941767 | + | 0.149204i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 9.63094i | 0.632302i | ||||||||
\(233\) | −6.44766 | − | 2.09497i | −0.422400 | − | 0.137246i | 0.0901010 | − | 0.995933i | \(-0.471281\pi\) |
−0.512501 | + | 0.858686i | \(0.671281\pi\) | |||||||
\(234\) | −0.116807 | + | 0.0848655i | −0.00763593 | + | 0.00554783i | ||||
\(235\) | 4.31011 | + | 0.281747i | 0.281161 | + | 0.0183791i | ||||
\(236\) | 0.0160356 | + | 0.0493524i | 0.00104383 | + | 0.00321257i | ||||
\(237\) | −7.57917 | + | 2.46262i | −0.492320 | + | 0.159965i | ||||
\(238\) | −1.97708 | + | 2.72122i | −0.128155 | + | 0.176391i | ||||
\(239\) | −3.55812 | + | 2.58513i | −0.230156 | + | 0.167218i | −0.696886 | − | 0.717182i | \(-0.745432\pi\) |
0.466731 | + | 0.884400i | \(0.345432\pi\) | |||||||
\(240\) | −0.532617 | − | 2.09566i | −0.0343803 | − | 0.135274i | ||||
\(241\) | 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 | ||||||
\(244\) | 1.44177 | − | 4.43731i | 0.0922998 | − | 0.284070i | ||||
\(245\) | 13.8110 | + | 5.50725i | 0.882352 | + | 0.351845i | ||||
\(246\) | −9.61640 | − | 6.98672i | −0.613119 | − | 0.445457i | ||||
\(247\) | 3.90373 | − | 1.26840i | 0.248389 | − | 0.0807064i | ||||
\(248\) | −15.7990 | + | 5.13340i | −1.00324 | + | 0.325971i | ||||
\(249\) | −8.46509 | − | 6.15025i | −0.536453 | − | 0.389756i | ||||
\(250\) | −6.09530 | − | 6.58696i | −0.385501 | − | 0.416596i | ||||
\(251\) | 4.14719 | − | 12.7637i | 0.261768 | − | 0.805640i | −0.730652 | − | 0.682750i | \(-0.760784\pi\) |
0.992420 | − | 0.122890i | \(-0.0392163\pi\) | |||||||
\(252\) | − | 0.0804405i | − | 0.00506727i | ||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 12.8886 | 0.808704 | ||||||||
\(255\) | 27.0051 | − | 6.86341i | 1.69112 | − | 0.429803i | ||||
\(256\) | 11.4956 | − | 8.35202i | 0.718473 | − | 0.522001i | ||||
\(257\) | −6.35829 | + | 8.75143i | −0.396619 | + | 0.545899i | −0.959891 | − | 0.280372i | \(-0.909542\pi\) |
0.563272 | + | 0.826271i | \(0.309542\pi\) | |||||||
\(258\) | −12.7957 | + | 4.15756i | −0.796623 | + | 0.258838i | ||||
\(259\) | 1.34253 | + | 4.13188i | 0.0834207 | + | 0.256742i | ||||
\(260\) | −5.42940 | − | 0.354914i | −0.336717 | − | 0.0220108i | ||||
\(261\) | 0.289878 | − | 0.210609i | 0.0179430 | − | 0.0130364i | ||||
\(262\) | −13.7640 | − | 4.47219i | −0.850342 | − | 0.276293i | ||||
\(263\) | 24.6351i | 1.51906i | 0.650471 | + | 0.759531i | \(0.274572\pi\) | ||||
−0.650471 | + | 0.759531i | \(0.725428\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.50584 | − | 2.84407i | 0.276791 | − | 0.174710i | ||||
\(266\) | 0.335868 | − | 1.03370i | 0.0205934 | − | 0.0633799i | ||||
\(267\) | −6.43084 | − | 8.85130i | −0.393561 | − | 0.541691i | ||||
\(268\) | −5.41187 | + | 7.44880i | −0.330582 | + | 0.455008i | ||||
\(269\) | 1.48359 | + | 4.56603i | 0.0904563 | + | 0.278396i | 0.986043 | − | 0.166491i | \(-0.0532438\pi\) |
−0.895587 | + | 0.444887i | \(0.853244\pi\) | |||||||
\(270\) | −5.85879 | + | 7.04692i | −0.356555 | + | 0.428862i | ||||
\(271\) | 18.8746 | + | 13.7132i | 1.14655 | + | 0.833019i | 0.988019 | − | 0.154334i | \(-0.0493232\pi\) |
0.158534 | + | 0.987353i | \(0.449323\pi\) | |||||||
\(272\) | −2.28458 | − | 3.14446i | −0.138523 | − | 0.190661i | ||||
\(273\) | −1.77966 | − | 0.578247i | −0.107710 | − | 0.0349971i | ||||
\(274\) | −3.23654 | −0.195527 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −3.55855 | −0.214200 | ||||||||
\(277\) | 20.8256 | + | 6.76663i | 1.25129 | + | 0.406568i | 0.858382 | − | 0.513012i | \(-0.171470\pi\) |
0.392905 | + | 0.919579i | \(0.371470\pi\) | |||||||
\(278\) | −3.74381 | − | 5.15291i | −0.224539 | − | 0.309051i | ||||
\(279\) | 0.500000 | + | 0.363271i | 0.0299342 | + | 0.0217485i | ||||
\(280\) | −2.27994 | + | 2.74230i | −0.136252 | + | 0.163884i | ||||
\(281\) | −4.87488 | − | 15.0033i | −0.290811 | − | 0.895024i | −0.984596 | − | 0.174842i | \(-0.944058\pi\) |
0.693785 | − | 0.720182i | \(-0.255942\pi\) | |||||||
\(282\) | 1.60471 | − | 2.20869i | 0.0955590 | − | 0.131526i | ||||
\(283\) | −13.2893 | − | 18.2912i | −0.789968 | − | 1.08730i | −0.994112 | − | 0.108356i | \(-0.965441\pi\) |
0.204144 | − | 0.978941i | \(-0.434559\pi\) | |||||||
\(284\) | −4.94061 | + | 15.2056i | −0.293171 | + | 0.902288i | ||||
\(285\) | −7.61377 | + | 4.80578i | −0.451001 | + | 0.284670i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 4.97971i | − | 0.293943i | ||||||
\(288\) | −0.555457 | − | 0.180479i | −0.0327306 | − | 0.0106348i | ||||
\(289\) | 26.7668 | − | 19.4472i | 1.57452 | − | 1.14395i | ||||
\(290\) | −6.40395 | − | 0.418619i | −0.376053 | − | 0.0245821i | ||||
\(291\) | −2.92492 | − | 9.00198i | −0.171462 | − | 0.527705i | ||||
\(292\) | 8.79673 | − | 2.85823i | 0.514790 | − | 0.167265i | ||||
\(293\) | −7.79380 | + | 10.7272i | −0.455319 | + | 0.626693i | −0.973530 | − | 0.228560i | \(-0.926598\pi\) |
0.518211 | + | 0.855253i | \(0.326598\pi\) | |||||||
\(294\) | 7.60308 | − | 5.52396i | 0.443421 | − | 0.322164i | ||||
\(295\) | −0.0829544 | + | 0.0210831i | −0.00482979 | + | 0.00122751i | ||||
\(296\) | 19.7641 | 1.14876 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 10.0344i | 0.581280i | ||||||||
\(299\) | −0.826880 | + | 2.54487i | −0.0478197 | + | 0.147174i | ||||
\(300\) | 11.7344 | − | 2.17905i | 0.677483 | − | 0.125808i | ||||
\(301\) | −4.55998 | − | 3.31302i | −0.262833 | − | 0.190959i | ||||
\(302\) | 6.41455 | − | 2.08421i | 0.369116 | − | 0.119933i | ||||
\(303\) | −16.6306 | + | 5.40361i | −0.955404 | + | 0.310429i | ||||
\(304\) | 1.01607 | + | 0.738221i | 0.0582758 | + | 0.0423399i | ||||
\(305\) | 7.14825 | + | 2.85042i | 0.409308 | + | 0.163215i | ||||
\(306\) | 0.175919 | − | 0.541424i | 0.0100566 | − | 0.0309511i | ||||
\(307\) | − | 10.0161i | − | 0.571650i | −0.958282 | − | 0.285825i | \(-0.907732\pi\) | ||
0.958282 | − | 0.285825i | \(-0.0922676\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −23.8076 | −1.35437 | ||||||||
\(310\) | −2.72666 | − | 10.7284i | −0.154864 | − | 0.609334i | ||||
\(311\) | 2.75734 | − | 2.00332i | 0.156354 | − | 0.113598i | −0.506857 | − | 0.862030i | \(-0.669193\pi\) |
0.663212 | + | 0.748432i | \(0.269193\pi\) | |||||||
\(312\) | −5.00362 | + | 6.88690i | −0.283274 | + | 0.389894i | ||||
\(313\) | 23.3017 | − | 7.57117i | 1.31709 | − | 0.427948i | 0.435594 | − | 0.900143i | \(-0.356538\pi\) |
0.881494 | + | 0.472196i | \(0.156538\pi\) | |||||||
\(314\) | −3.47164 | − | 10.6846i | −0.195916 | − | 0.602968i | ||||
\(315\) | 0.132397 | + | 0.00865464i | 0.00745973 | + | 0.000487634i | ||||
\(316\) | −4.96401 | + | 3.60657i | −0.279247 | + | 0.202885i | ||||
\(317\) | 6.64646 | + | 2.15957i | 0.373303 | + | 0.121293i | 0.489659 | − | 0.871914i | \(-0.337121\pi\) |
−0.116356 | + | 0.993208i | \(0.537121\pi\) | |||||||
\(318\) | − | 3.36787i | − | 0.188861i | ||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 4.27254 | + | 6.76895i | 0.238842 | + | 0.378396i | ||||
\(321\) | 3.04935 | − | 9.38493i | 0.170198 | − | 0.523816i | ||||
\(322\) | 0.416477 | + | 0.573232i | 0.0232094 | + | 0.0319449i | ||||
\(323\) | −9.51286 | + | 13.0933i | −0.529310 | + | 0.728532i | ||||
\(324\) | −3.89208 | − | 11.9786i | −0.216226 | − | 0.665476i | ||||
\(325\) | 1.16831 | − | 8.89808i | 0.0648060 | − | 0.493577i | ||||
\(326\) | −7.68982 | − | 5.58698i | −0.425900 | − | 0.309434i | ||||
\(327\) | −19.2500 | − | 26.4953i | −1.06453 | − | 1.46519i | ||||
\(328\) | −21.5449 | − | 7.00037i | −1.18962 | − | 0.386531i | ||||
\(329\) | 1.14374 | 0.0630563 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 5.64321 | 0.310179 | 0.155089 | − | 0.987900i | \(-0.450433\pi\) | ||||
0.155089 | + | 0.987900i | \(0.450433\pi\) | |||||||
\(332\) | −7.66196 | − | 2.48952i | −0.420505 | − | 0.136630i | ||||
\(333\) | −0.432200 | − | 0.594872i | −0.0236844 | − | 0.0325988i | ||||
\(334\) | −5.66682 | − | 4.11719i | −0.310075 | − | 0.225282i | ||||
\(335\) | −11.6777 | − | 9.70882i | −0.638022 | − | 0.530450i | ||||
\(336\) | −0.176932 | − | 0.544542i | −0.00965245 | − | 0.0297072i | ||||
\(337\) | −13.2936 | + | 18.2970i | −0.724146 | + | 0.996702i | 0.275230 | + | 0.961379i | \(0.411246\pi\) |
−0.999376 | + | 0.0353234i | \(0.988754\pi\) | |||||||
\(338\) | −4.61358 | − | 6.35005i | −0.250946 | − | 0.345397i | ||||
\(339\) | 6.42112 | − | 19.7622i | 0.348748 | − | 1.07333i | ||||
\(340\) | 18.1418 | − | 11.4510i | 0.983876 | − | 0.621018i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 0.183955i | 0.00994713i | ||||||||
\(343\) | 7.68631 | + | 2.49743i | 0.415022 | + | 0.134849i | ||||
\(344\) | −20.7443 | + | 15.0716i | −1.11846 | + | 0.812605i | ||||
\(345\) | 0.382867 | − | 5.85703i | 0.0206129 | − | 0.315332i | ||||
\(346\) | 2.27673 | + | 7.00706i | 0.122398 | + | 0.376702i | ||||
\(347\) | −0.173468 | + | 0.0563630i | −0.00931223 | + | 0.00302573i | −0.313669 | − | 0.949532i | \(-0.601558\pi\) |
0.304357 | + | 0.952558i | \(0.401558\pi\) | |||||||
\(348\) | 5.01656 | − | 6.90470i | 0.268916 | − | 0.370131i | ||||
\(349\) | 12.4809 | − | 9.06792i | 0.668089 | − | 0.485395i | −0.201296 | − | 0.979530i | \(-0.564515\pi\) |
0.869385 | + | 0.494136i | \(0.164515\pi\) | |||||||
\(350\) | −1.72435 | − | 1.63521i | −0.0921704 | − | 0.0874056i | ||||
\(351\) | −9.16431 | −0.489155 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 23.9103i | 1.27262i | 0.771435 | + | 0.636308i | \(0.219539\pi\) | ||||
−0.771435 | + | 0.636308i | \(0.780461\pi\) | |||||||
\(354\) | −0.0167177 | + | 0.0514519i | −0.000888537 | + | 0.00273464i | ||||
\(355\) | −24.4954 | − | 9.76774i | −1.30008 | − | 0.518418i | ||||
\(356\) | −6.81501 | − | 4.95139i | −0.361195 | − | 0.262423i | ||||
\(357\) | 7.01707 | − | 2.27998i | 0.371383 | − | 0.120670i | ||||
\(358\) | 1.10555 | − | 0.359214i | 0.0584299 | − | 0.0189850i | ||||
\(359\) | 7.09293 | + | 5.15332i | 0.374351 | + | 0.271982i | 0.759013 | − | 0.651076i | \(-0.225682\pi\) |
−0.384662 | + | 0.923057i | \(0.625682\pi\) | |||||||
\(360\) | 0.223566 | − | 0.560656i | 0.0117830 | − | 0.0295491i | ||||
\(361\) | −4.25527 | + | 13.0964i | −0.223962 | + | 0.689283i | ||||
\(362\) | 0.636943i | 0.0334770i | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −1.44076 | −0.0755161 | ||||||||
\(365\) | 3.75792 | + | 14.7861i | 0.196698 | + | 0.773938i | ||||
\(366\) | 3.93518 | − | 2.85907i | 0.205695 | − | 0.149446i | ||||
\(367\) | 3.16365 | − | 4.35439i | 0.165141 | − | 0.227297i | −0.718424 | − | 0.695605i | \(-0.755136\pi\) |
0.883565 | + | 0.468308i | \(0.155136\pi\) | |||||||
\(368\) | −0.778682 | + | 0.253009i | −0.0405916 | + | 0.0131890i | ||||
\(369\) | 0.260442 | + | 0.801557i | 0.0135581 | + | 0.0417274i | ||||
\(370\) | −0.859066 | + | 13.1418i | −0.0446607 | + | 0.683211i | ||||
\(371\) | 1.14146 | − | 0.829322i | 0.0592619 | − | 0.0430563i | ||||
\(372\) | 14.0006 | + | 4.54908i | 0.725899 | + | 0.235859i | ||||
\(373\) | − | 3.22450i | − | 0.166958i | −0.996510 | − | 0.0834792i | \(-0.973397\pi\) | ||
0.996510 | − | 0.0834792i | \(-0.0266032\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 2.32400 | + | 19.5480i | 0.120011 | + | 1.00946i | ||||
\(376\) | 1.60784 | − | 4.94844i | 0.0829183 | − | 0.255196i | ||||
\(377\) | −3.77218 | − | 5.19196i | −0.194277 | − | 0.267400i | ||||
\(378\) | −1.42637 | + | 1.96322i | −0.0733643 | + | 0.100977i | ||||
\(379\) | 6.07632 | + | 18.7010i | 0.312119 | + | 0.960605i | 0.976924 | + | 0.213588i | \(0.0685149\pi\) |
−0.664804 | + | 0.747017i | \(0.731485\pi\) | |||||||
\(380\) | −4.43185 | + | 5.33060i | −0.227349 | + | 0.273454i | ||||
\(381\) | −22.8722 | − | 16.6176i | −1.17178 | − | 0.851345i | ||||
\(382\) | 3.84543 | + | 5.29278i | 0.196749 | + | 0.270802i | ||||
\(383\) | −26.6059 | − | 8.64478i | −1.35950 | − | 0.441728i | −0.463623 | − | 0.886033i | \(-0.653451\pi\) |
−0.895876 | + | 0.444305i | \(0.853451\pi\) | |||||||
\(384\) | −15.4639 | −0.789139 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 3.50648 | 0.178475 | ||||||||
\(387\) | 0.907269 | + | 0.294789i | 0.0461191 | + | 0.0149850i | ||||
\(388\) | −4.28361 | − | 5.89588i | −0.217467 | − | 0.299318i | ||||
\(389\) | 10.5496 | + | 7.66472i | 0.534885 | + | 0.388617i | 0.822182 | − | 0.569225i | \(-0.192757\pi\) |
−0.287297 | + | 0.957842i | \(0.592757\pi\) | |||||||
\(390\) | −4.36185 | − | 3.62643i | −0.220871 | − | 0.183632i | ||||
\(391\) | −3.26033 | − | 10.0343i | −0.164882 | − | 0.507454i | ||||
\(392\) | 10.5277 | − | 14.4902i | 0.531730 | − | 0.731864i | ||||
\(393\) | 18.6595 | + | 25.6826i | 0.941247 | + | 1.29552i | ||||
\(394\) | 3.88258 | − | 11.9493i | 0.195601 | − | 0.601999i | ||||
\(395\) | −5.40197 | − | 8.55830i | −0.271803 | − | 0.430615i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 1.82243i | − | 0.0914651i | −0.998954 | − | 0.0457325i | \(-0.985438\pi\) | ||
0.998954 | − | 0.0457325i | \(-0.0145622\pi\) | |||||||
\(398\) | −1.09802 | − | 0.356768i | −0.0550387 | − | 0.0178831i | ||||
\(399\) | −1.92880 | + | 1.40135i | −0.0965607 | + | 0.0701555i | ||||
\(400\) | 2.41278 | − | 1.31112i | 0.120639 | − | 0.0655560i | ||||
\(401\) | 1.66277 | + | 5.11749i | 0.0830349 | + | 0.255555i | 0.983951 | − | 0.178438i | \(-0.0571043\pi\) |
−0.900916 | + | 0.433993i | \(0.857104\pi\) | |||||||
\(402\) | −9.12910 | + | 2.96622i | −0.455318 | + | 0.147942i | ||||
\(403\) | 6.50649 | − | 8.95542i | 0.324111 | − | 0.446101i | ||||
\(404\) | −10.8923 | + | 7.91371i | −0.541912 | + | 0.393722i | ||||
\(405\) | 20.1343 | − | 5.11719i | 1.00048 | − | 0.254275i | ||||
\(406\) | −1.69936 | −0.0843379 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | − | 33.5648i | − | 1.66171i | ||||||
\(409\) | −11.3354 | + | 34.8867i | −0.560499 | + | 1.72504i | 0.120462 | + | 0.992718i | \(0.461562\pi\) |
−0.680961 | + | 0.732320i | \(0.738438\pi\) | |||||||
\(410\) | 5.59127 | − | 14.0217i | 0.276133 | − | 0.692483i | ||||
\(411\) | 5.74357 | + | 4.17295i | 0.283309 | + | 0.205836i | ||||
\(412\) | −17.4334 | + | 5.66446i | −0.858883 | + | 0.279068i | ||||
\(413\) | −0.0215551 | + | 0.00700368i | −0.00106066 | + | 0.000344629i | ||||
\(414\) | −0.0970185 | − | 0.0704881i | −0.00476820 | − | 0.00346430i | ||||
\(415\) | 4.92186 | − | 12.3430i | 0.241605 | − | 0.605893i | ||||
\(416\) | −3.23253 | + | 9.94870i | −0.158488 | + | 0.487775i | ||||
\(417\) | 13.9713i | 0.684180i | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −2.86630 | −0.140028 | −0.0700141 | − | 0.997546i | \(-0.522304\pi\) | ||||
−0.0700141 | + | 0.997546i | \(0.522304\pi\) | |||||||
\(420\) | 3.06296 | − | 0.778460i | 0.149457 | − | 0.0379850i | ||||
\(421\) | −3.76982 | + | 2.73893i | −0.183730 | + | 0.133487i | −0.675848 | − | 0.737041i | \(-0.736223\pi\) |
0.492119 | + | 0.870528i | \(0.336223\pi\) | |||||||
\(422\) | −4.09597 | + | 5.63761i | −0.199389 | + | 0.274435i | ||||
\(423\) | −0.184102 | + | 0.0598182i | −0.00895132 | + | 0.00290846i | ||||
\(424\) | −1.98345 | − | 6.10445i | −0.0963251 | − | 0.296458i | ||||
\(425\) | 16.8954 | + | 31.0916i | 0.819545 | + | 1.50816i | ||||
\(426\) | −13.4849 | + | 9.79738i | −0.653347 | + | 0.474685i | ||||
\(427\) | 1.93804 | + | 0.629706i | 0.0937881 | + | 0.0304736i | ||||
\(428\) | − | 7.59774i | − | 0.367250i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −9.11996 | − | 14.4487i | −0.439803 | − | 0.696778i | ||||
\(431\) | −6.41801 | + | 19.7526i | −0.309145 | + | 0.951450i | 0.668953 | + | 0.743304i | \(0.266743\pi\) |
−0.978098 | + | 0.208145i | \(0.933257\pi\) | |||||||
\(432\) | −1.64821 | − | 2.26856i | −0.0792995 | − | 0.109146i | ||||
\(433\) | 7.52199 | − | 10.3531i | 0.361484 | − | 0.497540i | −0.589078 | − | 0.808076i | \(-0.700509\pi\) |
0.950561 | + | 0.310537i | \(0.100509\pi\) | |||||||
\(434\) | −0.905781 | − | 2.78771i | −0.0434789 | − | 0.133814i | ||||
\(435\) | 10.8247 | + | 8.99964i | 0.519005 | + | 0.431500i | ||||
\(436\) | −20.3999 | − | 14.8214i | −0.976979 | − | 0.709817i | ||||
\(437\) | 2.00390 | + | 2.75814i | 0.0958598 | + | 0.131940i | ||||
\(438\) | 9.17095 | + | 2.97982i | 0.438205 | + | 0.142381i | ||||
\(439\) | −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 | ||||||||
\(442\) | −9.69735 | − | 3.15086i | −0.461256 | − | 0.149871i | ||||
\(443\) | 3.87876 | + | 5.33865i | 0.184285 | + | 0.253647i | 0.891157 | − | 0.453695i | \(-0.149894\pi\) |
−0.706872 | + | 0.707342i | \(0.749894\pi\) | |||||||
\(444\) | −14.1694 | − | 10.2947i | −0.672452 | − | 0.488565i | ||||
\(445\) | 8.88274 | − | 10.6841i | 0.421082 | − | 0.506475i | ||||
\(446\) | −1.56420 | − | 4.81411i | −0.0740669 | − | 0.227955i | ||||
\(447\) | 12.9376 | − | 17.8071i | 0.611929 | − | 0.842248i | ||||
\(448\) | 1.24586 | + | 1.71478i | 0.0588614 | + | 0.0810158i | ||||
\(449\) | −4.21130 | + | 12.9610i | −0.198743 | + | 0.611670i | 0.801169 | + | 0.598438i | \(0.204212\pi\) |
−0.999912 | + | 0.0132314i | \(0.995788\pi\) | |||||||
\(450\) | 0.363082 | + | 0.173026i | 0.0171159 | + | 0.00815654i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | − | 15.9988i | − | 0.752522i | ||||||
\(453\) | −14.0705 | − | 4.57178i | −0.661090 | − | 0.214801i | ||||
\(454\) | 0.725253 | − | 0.526927i | 0.0340378 | − | 0.0247299i | ||||
\(455\) | 0.155012 | − | 2.37134i | 0.00726707 | − | 0.111170i | ||||
\(456\) | 3.35156 | + | 10.3150i | 0.156951 | + | 0.483046i | ||||
\(457\) | −12.8392 | + | 4.17169i | −0.600590 | + | 0.195144i | −0.593504 | − | 0.804831i | \(-0.702256\pi\) |
−0.00708664 | + | 0.999975i | \(0.502256\pi\) | |||||||
\(458\) | 1.97981 | − | 2.72498i | 0.0925105 | − | 0.127330i | ||||
\(459\) | 29.2332 | − | 21.2391i | 1.36449 | − | 0.991358i | ||||
\(460\) | −1.11318 | − | 4.37997i | −0.0519023 | − | 0.204217i | ||||
\(461\) | −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 | \(0.0358001\pi\) | ||||
−0.993682 | + | 0.112232i | \(0.964200\pi\) | |||||||
\(464\) | 0.606806 | − | 1.86756i | 0.0281703 | − | 0.0866992i | ||||
\(465\) | −8.99368 | + | 22.5542i | −0.417072 | + | 1.04593i | ||||
\(466\) | −4.40257 | − | 3.19865i | −0.203945 | − | 0.148175i | ||||
\(467\) | −22.8418 | + | 7.42175i | −1.05699 | + | 0.343437i | −0.785409 | − | 0.618978i | \(-0.787547\pi\) |
−0.271583 | + | 0.962415i | \(0.587547\pi\) | |||||||
\(468\) | 0.231911 | − | 0.0753524i | 0.0107201 | − | 0.00348317i | ||||
\(469\) | −3.25333 | − | 2.36368i | −0.150225 | − | 0.109145i | ||||
\(470\) | 3.22050 | + | 1.28420i | 0.148551 | + | 0.0592358i | ||||
\(471\) | −7.61514 | + | 23.4370i | −0.350887 | + | 1.07992i | ||||
\(472\) | 0.103105i | 0.00474579i | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −6.39688 | −0.293818 | ||||||||
\(475\) | −8.29682 | − | 7.86791i | −0.380684 | − | 0.361004i | ||||
\(476\) | 4.59586 | − | 3.33909i | 0.210651 | − | 0.153047i | ||||
\(477\) | −0.140361 | + | 0.193191i | −0.00642671 | + | 0.00884561i | ||||
\(478\) | −3.35755 | + | 1.09093i | −0.153571 | + | 0.0498981i | ||||
\(479\) | 13.3573 | + | 41.1095i | 0.610309 | + | 1.87834i | 0.455052 | + | 0.890465i | \(0.349621\pi\) |
0.155258 | + | 0.987874i | \(0.450379\pi\) | |||||||
\(480\) | 1.49675 | − | 22.8969i | 0.0683168 | − | 1.04510i | ||||
\(481\) | −10.6546 | + | 7.74106i | −0.485810 | + | 0.352962i | ||||
\(482\) | 7.33805 | + | 2.38428i | 0.334239 | + | 0.108601i | ||||
\(483\) | − | 1.55423i | − | 0.0707199i | ||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 10.1649 | − | 6.41606i | 0.461565 | − | 0.291338i | ||||
\(486\) | 0.258219 | − | 0.794718i | 0.0117131 | − | 0.0360491i | ||||
\(487\) | 24.6640 | + | 33.9471i | 1.11763 | + | 1.53829i | 0.809666 | + | 0.586891i | \(0.199648\pi\) |
0.307966 | + | 0.951397i | \(0.400352\pi\) | |||||||
\(488\) | 5.44890 | − | 7.49977i | 0.246660 | − | 0.339499i | ||||
\(489\) | 6.44294 | + | 19.8293i | 0.291360 | + | 0.896713i | ||||
\(490\) | 9.17743 | + | 7.63009i | 0.414594 | + | 0.344692i | ||||
\(491\) | −7.32956 | − | 5.32524i | −0.330778 | − | 0.240325i | 0.409982 | − | 0.912093i | \(-0.365535\pi\) |
−0.740761 | + | 0.671769i | \(0.765535\pi\) | |||||||
\(492\) | 11.7998 | + | 16.2411i | 0.531978 | + | 0.732205i | ||||
\(493\) | 24.0657 | + | 7.81942i | 1.08386 | + | 0.352169i | ||||
\(494\) | 3.29478 | 0.148239 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 3.38705 | 0.152083 | ||||||||
\(497\) | −6.64120 | − | 2.15786i | −0.297898 | − | 0.0967931i | ||||
\(498\) | −4.93680 | − | 6.79492i | −0.221223 | − | 0.304488i | ||||
\(499\) | 24.4965 | + | 17.7977i | 1.09661 | + | 0.796736i | 0.980504 | − | 0.196501i | \(-0.0629578\pi\) |
0.116109 | + | 0.993236i | \(0.462958\pi\) | |||||||
\(500\) | 6.35276 | + | 13.7613i | 0.284104 | + | 0.615425i | ||||
\(501\) | 4.74796 | + | 14.6127i | 0.212123 | + | 0.652849i | ||||
\(502\) | 6.33203 | − | 8.71530i | 0.282612 | − | 0.388983i | ||||
\(503\) | −10.6177 | − | 14.6139i | −0.473418 | − | 0.651604i | 0.503806 | − | 0.863817i | \(-0.331933\pi\) |
−0.977223 | + | 0.212213i | \(0.931933\pi\) | |||||||
\(504\) | 0.0493894 | − | 0.152005i | 0.00219998 | − | 0.00677084i | ||||
\(505\) | −11.8533 | − | 18.7791i | −0.527464 | − | 0.835658i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 17.2172i | 0.764642i | ||||||||
\(508\) | −20.7022 | − | 6.72654i | −0.918510 | − | 0.298442i | ||||
\(509\) | −20.1572 | + | 14.6451i | −0.893453 | + | 0.649132i | −0.936776 | − | 0.349929i | \(-0.886206\pi\) |
0.0433229 | + | 0.999061i | \(0.486206\pi\) | |||||||
\(510\) | 22.3184 | + | 1.45893i | 0.988277 | + | 0.0646026i | ||||
\(511\) | 1.24836 | + | 3.84205i | 0.0552241 | + | 0.169962i | ||||
\(512\) | −5.85796 | + | 1.90337i | −0.258888 | + | 0.0841177i | ||||
\(513\) | −6.86304 | + | 9.44617i | −0.303011 | + | 0.417058i | ||||
\(514\) | −7.02477 | + | 5.10379i | −0.309849 | + | 0.225119i | ||||
\(515\) | −7.44747 | − | 29.3031i | −0.328175 | − | 1.29125i | ||||
\(516\) | 22.7226 | 1.00031 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 3.48734i | 0.153225i | ||||||||
\(519\) | 4.99407 | − | 15.3702i | 0.219216 | − | 0.674676i | ||||
\(520\) | −10.0418 | − | 4.00425i | −0.440363 | − | 0.175598i | ||||
\(521\) | −29.3537 | − | 21.3267i | −1.28601 | − | 0.934339i | −0.286291 | − | 0.958143i | \(-0.592422\pi\) |
−0.999717 | + | 0.0238032i | \(0.992422\pi\) | |||||||
\(522\) | 0.273537 | − | 0.0888777i | 0.0119724 | − | 0.00389007i | ||||
\(523\) | 23.4978 | − | 7.63489i | 1.02749 | − | 0.333850i | 0.253690 | − | 0.967286i | \(-0.418356\pi\) |
0.773796 | + | 0.633435i | \(0.218356\pi\) | |||||||
\(524\) | 19.7742 | + | 14.3668i | 0.863839 | + | 0.627616i | ||||
\(525\) | 0.951722 | + | 5.12509i | 0.0415366 | + | 0.223677i | ||||
\(526\) | −6.11067 | + | 18.8067i | −0.266438 | + | 0.820011i | ||||
\(527\) | 43.6462i | 1.90126i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 20.7775 | 0.903369 | ||||||||
\(530\) | 4.14527 | − | 1.05353i | 0.180059 | − | 0.0457625i | ||||
\(531\) | 0.00310332 | − | 0.00225469i | 0.000134672 | − | 9.78453e-5i | ||||
\(532\) | −1.07897 | + | 1.48507i | −0.0467791 | + | 0.0643859i | ||||
\(533\) | 14.3566 | − | 4.66473i | 0.621852 | − | 0.202052i | ||||
\(534\) | −2.71384 | − | 8.35234i | −0.117439 | − | 0.361441i | ||||
\(535\) | 12.5051 | + | 0.817446i | 0.540644 | + | 0.0353413i | ||||
\(536\) | −14.8001 | + | 10.7529i | −0.639265 | + | 0.464453i | ||||
\(537\) | −2.42504 | − | 0.787945i | −0.104648 | − | 0.0340023i | ||||
\(538\) | 3.85376i | 0.166148i | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 13.0884 | − | 8.26132i | 0.563233 | − | 0.355511i | ||||
\(541\) | 3.87568 | − | 11.9281i | 0.166628 | − | 0.512829i | −0.832524 | − | 0.553989i | \(-0.813105\pi\) |
0.999153 | + | 0.0411593i | \(0.0131051\pi\) | |||||||
\(542\) | 11.0076 | + | 15.1507i | 0.472817 | + | 0.650776i | ||||
\(543\) | 0.821226 | − | 1.13032i | 0.0352422 | − | 0.0485067i | ||||
\(544\) | −12.7456 | − | 39.2270i | −0.546464 | − | 1.68184i | ||||
\(545\) | 26.5894 | − | 31.9816i | 1.13897 | − | 1.36994i | ||||
\(546\) | −1.21518 | − | 0.882881i | −0.0520050 | − | 0.0377838i | ||||
\(547\) | 18.0689 | + | 24.8698i | 0.772572 | + | 1.06335i | 0.996063 | + | 0.0886479i | \(0.0282546\pi\) |
−0.223491 | + | 0.974706i | \(0.571745\pi\) | |||||||
\(548\) | 5.19865 | + | 1.68914i | 0.222075 | + | 0.0721566i | ||||
\(549\) | −0.344889 | −0.0147195 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −8.17659 | −0.348334 | ||||||||
\(552\) | −6.72445 | − | 2.18491i | −0.286212 | − | 0.0929958i | ||||
\(553\) | −1.57520 | − | 2.16808i | −0.0669843 | − | 0.0921960i | ||||
\(554\) | 14.2200 | + | 10.3315i | 0.604151 | + | 0.438942i | ||||
\(555\) | 18.4686 | − | 22.2139i | 0.783946 | − | 0.942926i | ||||
\(556\) | 3.32415 | + | 10.2307i | 0.140975 | + | 0.433877i | ||||
\(557\) | −7.89359 | + | 10.8646i | −0.334462 | + | 0.460347i | −0.942814 | − | 0.333320i | \(-0.891831\pi\) |
0.608352 | + | 0.793668i | \(0.291831\pi\) | |||||||
\(558\) | 0.291597 | + | 0.401350i | 0.0123443 | + | 0.0169905i | ||||
\(559\) | 5.27993 | − | 16.2499i | 0.223317 | − | 0.687299i | ||||
\(560\) | 0.614889 | − | 0.388116i | 0.0259838 | − | 0.0164009i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | − | 12.6629i | − | 0.534154i | ||||||
\(563\) | 29.0454 | + | 9.43741i | 1.22412 | + | 0.397740i | 0.848580 | − | 0.529068i | \(-0.177458\pi\) |
0.375537 | + | 0.926807i | \(0.377458\pi\) | |||||||
\(564\) | −3.73025 | + | 2.71019i | −0.157072 | + | 0.114119i | ||||
\(565\) | 26.3325 | + | 1.72133i | 1.10782 | + | 0.0724167i | ||||
\(566\) | −5.60814 | − | 17.2601i | −0.235728 | − | 0.725495i | ||||
\(567\) | 5.23175 | − | 1.69990i | 0.219713 | − | 0.0713891i | ||||
\(568\) | −18.6721 | + | 25.7000i | −0.783465 | + | 1.07835i | ||||
\(569\) | −20.8082 | + | 15.1181i | −0.872327 | + | 0.633783i | −0.931210 | − | 0.364482i | \(-0.881246\pi\) |
0.0588833 | + | 0.998265i | \(0.481246\pi\) | |||||||
\(570\) | −7.00451 | + | 1.78021i | −0.293387 | + | 0.0745650i | ||||
\(571\) | 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 | ||||||
\(574\) | 1.23520 | − | 3.80157i | 0.0515564 | − | 0.158674i | ||||
\(575\) | 7.32876 | − | 1.36094i | 0.305630 | − | 0.0567552i | ||||
\(576\) | −0.290224 | − | 0.210860i | −0.0120927 | − | 0.00878583i | ||||
\(577\) | −2.72968 | + | 0.886926i | −0.113638 | + | 0.0369232i | −0.365284 | − | 0.930896i | \(-0.619028\pi\) |
0.251646 | + | 0.967819i | \(0.419028\pi\) | |||||||
\(578\) | 25.2579 | − | 8.20680i | 1.05059 | − | 0.341358i | ||||
\(579\) | −6.22260 | − | 4.52098i | −0.258602 | − | 0.187886i | ||||
\(580\) | 10.0678 | + | 4.01460i | 0.418041 | + | 0.166697i | ||||
\(581\) | 1.08732 | − | 3.34643i | 0.0451097 | − | 0.138833i | ||||
\(582\) | − | 7.59774i | − | 0.314936i | ||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 18.3777 | 0.760476 | ||||||||
\(585\) | 0.0990712 | + | 0.389810i | 0.00409609 | + | 0.0161166i | ||||
\(586\) | −8.61075 | + | 6.25608i | −0.355707 | + | 0.258436i | ||||
\(587\) | 26.3539 | − | 36.2731i | 1.08774 | − | 1.49715i | 0.237042 | − | 0.971499i | \(-0.423822\pi\) |
0.850701 | − | 0.525651i | \(-0.176178\pi\) | |||||||
\(588\) | −15.0953 | + | 4.90475i | −0.622518 | + | 0.202268i | ||||
\(589\) | −4.35822 | − | 13.4132i | −0.179577 | − | 0.552682i | ||||
\(590\) | −0.0685580 | − | 0.00448156i | −0.00282249 | − | 0.000184503i | ||||
\(591\) | −22.2966 | + | 16.1994i | −0.917159 | + | 0.666355i | ||||
\(592\) | −3.83250 | − | 1.24525i | −0.157515 | − | 0.0511796i | ||||
\(593\) | − | 6.09322i | − | 0.250219i | −0.992143 | − | 0.125109i | \(-0.960072\pi\) | ||
0.992143 | − | 0.125109i | \(-0.0399282\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.00133 | + | 7.92358i | 0.205035 | + | 0.324835i | ||||
\(596\) | 5.23695 | − | 16.1177i | 0.214514 | − | 0.660206i | ||||
\(597\) | 1.48855 | + | 2.04882i | 0.0609225 | + | 0.0838526i | ||||
\(598\) | −1.26250 | + | 1.73768i | −0.0516275 | + | 0.0710591i | ||||
\(599\) | 3.99674 | + | 12.3007i | 0.163302 | + | 0.502593i | 0.998907 | − | 0.0467381i | \(-0.0148826\pi\) |
−0.835605 | + | 0.549331i | \(0.814883\pi\) | |||||||
\(600\) | 23.5118 | + | 3.08708i | 0.959867 | + | 0.126029i | ||||
\(601\) | −8.93729 | − | 6.49332i | −0.364560 | − | 0.264868i | 0.390392 | − | 0.920649i | \(-0.372340\pi\) |
−0.754951 | + | 0.655781i | \(0.772340\pi\) | |||||||
\(602\) | −2.65936 | − | 3.66029i | −0.108387 | − | 0.149182i | ||||
\(603\) | 0.647294 | + | 0.210318i | 0.0263598 | + | 0.00856483i | ||||
\(604\) | −11.3910 | −0.463494 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −14.0364 | −0.570188 | ||||||||
\(607\) | −0.110239 | − | 0.0358189i | −0.00447448 | − | 0.00145385i | 0.306779 | − | 0.951781i | \(-0.400749\pi\) |
−0.311253 | + | 0.950327i | \(0.600749\pi\) | |||||||
\(608\) | 7.83388 | + | 10.7824i | 0.317706 | + | 0.437285i | ||||
\(609\) | 3.01569 | + | 2.19103i | 0.122202 | + | 0.0887849i | ||||
\(610\) | 4.75002 | + | 3.94915i | 0.192323 | + | 0.159897i | ||||
\(611\) | 1.07139 | + | 3.29741i | 0.0433440 | + | 0.133399i | ||||
\(612\) | −0.565135 | + | 0.777842i | −0.0228442 | + | 0.0314424i | ||||
\(613\) | 11.1941 | + | 15.4074i | 0.452125 | + | 0.622297i | 0.972853 | − | 0.231426i | \(-0.0743391\pi\) |
−0.520727 | + | 0.853723i | \(0.674339\pi\) | |||||||
\(614\) | 2.48447 | − | 7.64643i | 0.100265 | − | 0.308585i | ||||
\(615\) | −28.0008 | + | 17.6740i | −1.12910 | + | 0.712684i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 30.8894i | 1.24356i | 0.783192 | + | 0.621780i | \(0.213590\pi\) | ||||
−0.783192 | + | 0.621780i | \(0.786410\pi\) | |||||||
\(618\) | −18.1750 | − | 5.90543i | −0.731108 | − | 0.237551i | ||||
\(619\) | 27.1584 | − | 19.7317i | 1.09159 | − | 0.793086i | 0.111922 | − | 0.993717i | \(-0.464299\pi\) |
0.979667 | + | 0.200631i | \(0.0642993\pi\) | |||||||
\(620\) | −1.21948 | + | 18.6554i | −0.0489756 | + | 0.749220i | ||||
\(621\) | −2.35216 | − | 7.23920i | −0.0943889 | − | 0.290499i | ||||
\(622\) | 2.60191 | − | 0.845410i | 0.104327 | − | 0.0338979i | ||||
\(623\) | 2.16257 | − | 2.97652i | 0.0866414 | − | 0.119252i | ||||
\(624\) | 1.40418 | − | 1.02020i | 0.0562122 | − | 0.0408405i | ||||
\(625\) | −23.3333 | + | 8.97543i | −0.933331 | + | 0.359017i | ||||
\(626\) | 19.6668 | 0.786043 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 18.9738i | 0.757139i | ||||||||
\(629\) | 16.0466 | − | 49.3863i | 0.639819 | − | 1.96916i | ||||
\(630\) | 0.0989267 | + | 0.0394478i | 0.00394134 | + | 0.00157164i | ||||
\(631\) | −19.9482 | − | 14.4932i | −0.794123 | − | 0.576964i | 0.115061 | − | 0.993358i | \(-0.463294\pi\) |
−0.909184 | + | 0.416394i | \(0.863294\pi\) | |||||||
\(632\) | −11.5947 | + | 3.76734i | −0.461211 | + | 0.149857i | ||||
\(633\) | 14.5374 | − | 4.72349i | 0.577810 | − | 0.187742i | ||||
\(634\) | 4.53832 | + | 3.29728i | 0.180240 | + | 0.130952i | ||||
\(635\) | 13.2986 | − | 33.3500i | 0.527738 | − | 1.32345i | ||||
\(636\) | −1.75768 | + | 5.40960i | −0.0696967 | + | 0.214504i | ||||
\(637\) | 11.9350i | 0.472880i | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 1.18186 | 0.0467535 | ||||||||
\(640\) | −4.83739 | − | 19.0334i | −0.191215 | − | 0.752361i | ||||
\(641\) | −5.67644 | + | 4.12418i | −0.224206 | + | 0.162895i | −0.694218 | − | 0.719765i | \(-0.744250\pi\) |
0.470012 | + | 0.882660i | \(0.344250\pi\) | |||||||
\(642\) | 4.65582 | − | 6.40818i | 0.183751 | − | 0.252911i | ||||
\(643\) | 11.6528 | − | 3.78623i | 0.459543 | − | 0.149315i | −0.0700915 | − | 0.997541i | \(-0.522329\pi\) |
0.529634 | + | 0.848226i | \(0.322329\pi\) | |||||||
\(644\) | −0.369792 | − | 1.13810i | −0.0145718 | − | 0.0448475i | ||||
\(645\) | −2.44474 | + | 37.3992i | −0.0962617 | + | 1.47259i | ||||
\(646\) | −10.5100 | + | 7.63596i | −0.413510 | + | 0.300433i | ||||
\(647\) | 5.82060 | + | 1.89123i | 0.228832 | + | 0.0743519i | 0.421188 | − | 0.906973i | \(-0.361613\pi\) |
−0.192357 | + | 0.981325i | \(0.561613\pi\) | |||||||
\(648\) | − | 25.0251i | − | 0.983079i | ||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 3.09905 | − | 6.50310i | 0.121555 | − | 0.255073i | ||||
\(651\) | −1.98685 | + | 6.11491i | −0.0778710 | + | 0.239662i | ||||
\(652\) | 9.43583 | + | 12.9873i | 0.369536 | + | 0.508622i | ||||
\(653\) | 22.3544 | − | 30.7682i | 0.874795 | − | 1.20405i | −0.103041 | − | 0.994677i | \(-0.532857\pi\) |
0.977835 | − | 0.209375i | \(-0.0671428\pi\) | |||||||
\(654\) | −8.12356 | − | 25.0017i | −0.317656 | − | 0.977645i | ||||
\(655\) | −25.7738 | + | 31.0006i | −1.00707 | + | 1.21129i | ||||
\(656\) | 3.73676 | + | 2.71492i | 0.145896 | + | 0.106000i | ||||
\(657\) | −0.401883 | − | 0.553145i | −0.0156790 | − | 0.0215802i | ||||
\(658\) | 0.873144 | + | 0.283702i | 0.0340387 | + | 0.0110598i | ||||
\(659\) | 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 | \(0.658643\pi\) | |||||||
\(662\) | 4.30809 | + | 1.39978i | 0.167439 | + | 0.0544042i | ||||
\(663\) | 13.1464 | + | 18.0945i | 0.510566 | + | 0.702733i | ||||
\(664\) | −12.9500 | − | 9.40870i | −0.502556 | − | 0.365128i | ||||
\(665\) | −2.32819 | − | 1.93565i | −0.0902833 | − | 0.0750613i | ||||
\(666\) | −0.182390 | − | 0.561338i | −0.00706746 | − | 0.0217514i | ||||
\(667\) | 3.13312 | − | 4.31237i | 0.121315 | − | 0.166976i | ||||
\(668\) | 6.95350 | + | 9.57067i | 0.269039 | + | 0.370300i | ||||
\(669\) | −3.43111 | + | 10.5599i | −0.132654 | + | 0.408268i | ||||
\(670\) | −6.50666 | − | 10.3085i | −0.251374 | − | 0.398251i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | − | 6.07597i | − | 0.234385i | ||||||
\(673\) | 28.5063 | + | 9.26226i | 1.09884 | + | 0.357034i | 0.801655 | − | 0.597787i | \(-0.203953\pi\) |
0.297182 | + | 0.954821i | \(0.403953\pi\) | |||||||
\(674\) | −14.6870 | + | 10.6707i | −0.565722 | + | 0.411021i | ||||
\(675\) | 12.1891 | + | 22.4310i | 0.469160 | + | 0.863369i | ||||
\(676\) | 4.09642 | + | 12.6075i | 0.157555 | + | 0.484903i | ||||
\(677\) | 3.57321 | − | 1.16101i | 0.137330 | − | 0.0446211i | −0.239546 | − | 0.970885i | \(-0.576999\pi\) |
0.376875 | + | 0.926264i | \(0.376999\pi\) | |||||||
\(678\) | 9.80393 | − | 13.4940i | 0.376518 | − | 0.518232i | ||||
\(679\) | 2.57508 | − | 1.87091i | 0.0988225 | − | 0.0717988i | ||||
\(680\) | 41.3125 | − | 10.4997i | 1.58426 | − | 0.402645i | ||||
\(681\) | −1.96641 | −0.0753531 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − | 21.0157i | − | 0.804144i | −0.915608 | − | 0.402072i | \(-0.868290\pi\) | ||
0.915608 | − | 0.402072i | \(-0.131710\pi\) | |||||||
\(684\) | 0.0960054 | − | 0.295474i | 0.00367086 | − | 0.0112977i | ||||
\(685\) | −3.33949 | + | 8.37472i | −0.127595 | + | 0.319982i | ||||
\(686\) | 5.24834 | + | 3.81314i | 0.200382 | + | 0.145586i | ||||
\(687\) | −7.02675 | + | 2.28313i | −0.268087 | + | 0.0871068i | ||||
\(688\) | 4.97217 | − | 1.61555i | 0.189562 | − | 0.0615925i | ||||
\(689\) | 3.46021 | + | 2.51399i | 0.131824 | + | 0.0957754i | ||||
\(690\) | 1.74511 | − | 4.37636i | 0.0664351 | − | 0.166605i | ||||
\(691\) | −11.8299 | + | 36.4088i | −0.450032 | + | 1.38506i | 0.426837 | + | 0.904328i | \(0.359628\pi\) |
−0.876870 | + | 0.480728i | \(0.840372\pi\) | |||||||
\(692\) | − | 12.4432i | − | 0.473020i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −0.146408 | −0.00555757 | ||||||||
\(695\) | −17.1963 | + | 4.37049i | −0.652294 | + | 0.165782i | ||||
\(696\) | 13.7190 | − | 9.96742i | 0.520017 | − | 0.377814i | ||||
\(697\) | −34.9850 | + | 48.1527i | −1.32515 | + | 1.82391i | ||||
\(698\) | 11.7774 | − | 3.82670i | 0.445780 | − | 0.144843i | ||||
\(699\) | 3.68870 | + | 11.3527i | 0.139520 | + | 0.429397i | ||||
\(700\) | 1.91630 | + | 3.52646i | 0.0724294 | + | 0.133288i | ||||
\(701\) | −27.6963 | + | 20.1225i | −1.04607 | + | 0.760016i | −0.971462 | − | 0.237196i | \(-0.923772\pi\) |
−0.0746112 | + | 0.997213i | \(0.523772\pi\) | |||||||
\(702\) | −6.99614 | − | 2.27318i | −0.264052 | − | 0.0857958i | ||||
\(703\) | 16.7795i | 0.632852i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −4.05936 | − | 6.43121i | −0.152884 | − | 0.242214i | ||||
\(706\) | −5.93089 | + | 18.2534i | −0.223212 | + | 0.686976i | ||||
\(707\) | −3.45639 | − | 4.75731i | −0.129991 | − | 0.178917i | ||||
\(708\) | 0.0537052 | − | 0.0739189i | 0.00201836 | − | 0.00277804i | ||||
\(709\) | 1.27462 | + | 3.92289i | 0.0478695 | + | 0.147327i | 0.972134 | − | 0.234425i | \(-0.0753207\pi\) |
−0.924265 | + | 0.381752i | \(0.875321\pi\) | |||||||
\(710\) | −16.2772 | − | 13.5328i | −0.610873 | − | 0.507878i | ||||
\(711\) | 0.366944 | + | 0.266600i | 0.0137615 | + | 0.00999828i | ||||
\(712\) | −9.83795 | − | 13.5408i | −0.368693 | − | 0.507462i | ||||
\(713\) | 8.74418 | + | 2.84116i | 0.327472 | + | 0.106402i | ||||
\(714\) | 5.92246 | 0.221642 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −1.96324 | −0.0733697 | ||||||||
\(717\) | 7.36487 | + | 2.39299i | 0.275046 | + | 0.0893679i | ||||
\(718\) | 4.13656 | + | 5.69349i | 0.154375 | + | 0.212479i | ||||
\(719\) | 23.7524 | + | 17.2571i | 0.885814 | + | 0.643582i | 0.934783 | − | 0.355218i | \(-0.115594\pi\) |
−0.0489689 | + | 0.998800i | \(0.515594\pi\) | |||||||
\(720\) | −0.0786768 | + | 0.0946320i | −0.00293211 | + | 0.00352673i | ||||
\(721\) | −2.47400 | − | 7.61420i | −0.0921367 | − | 0.283568i | ||||
\(722\) | −6.49706 | + | 8.94243i | −0.241795 | + | 0.332803i | ||||
\(723\) | −9.94801 | − | 13.6923i | −0.369970 | − | 0.509221i | ||||
\(724\) | 0.332419 | − | 1.02308i | 0.0123543 | − | 0.0380225i | ||||
\(725\) | −7.69084 | + | 16.1386i | −0.285630 | + | 0.599373i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 44.0893i | − | 1.63518i | −0.575799 | − | 0.817591i | \(-0.695309\pi\) | ||
0.575799 | − | 0.817591i | \(-0.304691\pi\) | |||||||
\(728\) | −2.72254 | − | 0.884606i | −0.100904 | − | 0.0327857i | ||||
\(729\) | 21.0659 | − | 15.3052i | 0.780217 | − | 0.566861i | ||||
\(730\) | −0.798808 | + | 12.2200i | −0.0295652 | + | 0.452283i | ||||
\(731\) | 20.8184 | + | 64.0723i | 0.769995 | + | 2.36980i | ||||
\(732\) | −7.81296 | + | 2.53858i | −0.288775 | + | 0.0938287i | ||||
\(733\) | 28.7715 | − | 39.6006i | 1.06270 | − | 1.46268i | 0.185446 | − | 0.982654i | \(-0.440627\pi\) |
0.877254 | − | 0.480026i | \(-0.159373\pi\) | |||||||
\(734\) | 3.49526 | − | 2.53946i | 0.129012 | − | 0.0937331i | ||||
\(735\) | −6.44862 | − | 25.3730i | −0.237861 | − | 0.935898i | ||||
\(736\) | −8.68849 | −0.320262 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 0.676520i | 0.0249031i | ||||||||
\(739\) | −6.38498 | + | 19.6509i | −0.234875 | + | 0.722872i | 0.762263 | + | 0.647268i | \(0.224088\pi\) |
−0.997138 | + | 0.0756039i | \(0.975912\pi\) | |||||||
\(740\) | 8.23854 | − | 20.6605i | 0.302855 | − | 0.759495i | ||||
\(741\) | −5.84692 | − | 4.24804i | −0.214792 | − | 0.156056i | ||||
\(742\) | 1.07712 | − | 0.349977i | 0.0395423 | − | 0.0128481i | ||||
\(743\) | −28.6868 | + | 9.32091i | −1.05242 | + | 0.341951i | −0.783617 | − | 0.621245i | \(-0.786627\pi\) |
−0.268801 | + | 0.963196i | \(0.586627\pi\) | |||||||
\(744\) | 23.6634 | + | 17.1924i | 0.867541 | + | 0.630305i | ||||
\(745\) | 25.9646 | + | 10.3536i | 0.951271 | + | 0.379327i | ||||
\(746\) | 0.799830 | − | 2.46162i | 0.0292839 | − | 0.0901264i | ||||
\(747\) | 0.595525i | 0.0217891i | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 3.31838 | 0.121251 | ||||||||
\(750\) | −3.07467 | + | 15.4997i | −0.112271 | + | 0.565968i | ||||
\(751\) | −9.78637 | + | 7.11021i | −0.357110 | + | 0.259455i | −0.751846 | − | 0.659339i | \(-0.770836\pi\) |
0.394736 | + | 0.918795i | \(0.370836\pi\) | |||||||
\(752\) | −0.623562 | + | 0.858259i | −0.0227390 | + | 0.0312975i | ||||
\(753\) | −22.4737 | + | 7.30213i | −0.818986 | + | 0.266105i | ||||
\(754\) | −1.59187 | − | 4.89929i | −0.0579726 | − | 0.178421i | ||||
\(755\) | 1.22557 | − | 18.7485i | 0.0446030 | − | 0.682328i | ||||
\(756\) | 3.31568 | − | 2.40898i | 0.120590 | − | 0.0876138i | ||||
\(757\) | 19.6013 | + | 6.36886i | 0.712423 | + | 0.231480i | 0.642735 | − | 0.766089i | \(-0.277800\pi\) |
0.0696881 | + | 0.997569i | \(0.477800\pi\) | |||||||
\(758\) | 15.7838i | 0.573293i | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −11.6476 | + | 7.35192i | −0.422503 | + | 0.266682i | ||||
\(761\) | −6.44146 | + | 19.8248i | −0.233503 | + | 0.718648i | 0.763814 | + | 0.645437i | \(0.223325\pi\) |
−0.997316 | + | 0.0732111i | \(0.976675\pi\) | |||||||
\(762\) | −13.3389 | − | 18.3595i | −0.483219 | − | 0.665093i | ||||
\(763\) | 6.47339 | − | 8.90985i | 0.234352 | − | 0.322558i | ||||
\(764\) | −3.41437 | − | 10.5084i | −0.123528 | − | 0.380179i | ||||
\(765\) | −1.21945 | − | 1.01384i | −0.0440892 | − | 0.0366556i | ||||
\(766\) | −18.1670 | − | 13.1991i | −0.656399 | − | 0.476902i | ||||
\(767\) | −0.0403834 | − | 0.0555830i | −0.00145816 | − | 0.00200699i | ||||
\(768\) | −23.7944 | − | 7.73127i | −0.858607 | − | 0.278978i | ||||
\(769\) | 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 | ||||||||
\(772\) | −5.63223 | − | 1.83002i | −0.202708 | − | 0.0658639i | ||||
\(773\) | −11.9651 | − | 16.4686i | −0.430355 | − | 0.592333i | 0.537679 | − | 0.843149i | \(-0.319301\pi\) |
−0.968035 | + | 0.250816i | \(0.919301\pi\) | |||||||
\(774\) | 0.619498 | + | 0.450092i | 0.0222674 | + | 0.0161782i | ||||
\(775\) | −30.5738 | − | 4.01430i | −1.09824 | − | 0.144198i | ||||
\(776\) | −4.47456 | − | 13.7713i | −0.160627 | − | 0.494361i | ||||
\(777\) | 4.49630 | − | 6.18863i | 0.161304 | − | 0.222016i | ||||
\(778\) | 6.15247 | + | 8.46814i | 0.220577 | + | 0.303598i | ||||
\(779\) | 5.94326 | − | 18.2915i | 0.212939 | − | 0.655360i | ||||
\(780\) | 5.11353 | + | 8.10134i | 0.183094 | + | 0.290074i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | − | 8.46898i | − | 0.302850i | ||||||
\(783\) | 17.3622 | + | 5.64131i | 0.620474 | + | 0.201604i | ||||
\(784\) | −2.95442 | + | 2.14651i | −0.105515 | + | 0.0766612i | ||||
\(785\) | −31.2291 | − | 2.04141i | −1.11461 | − | 0.0728610i | ||||
\(786\) | 7.87438 | + | 24.2348i | 0.280870 | + | 0.864428i | ||||
\(787\) | 13.5261 | − | 4.39491i | 0.482154 | − | 0.156661i | −0.0578472 | − | 0.998325i | \(-0.518424\pi\) |
0.540002 | + | 0.841664i | \(0.318424\pi\) | |||||||
\(788\) | −12.4727 | + | 17.1671i | −0.444320 | + | 0.611554i | ||||
\(789\) | 35.0919 | − | 25.4958i | 1.24930 | − | 0.907673i | ||||
\(790\) | −2.00106 | − | 7.87346i | −0.0711946 | − | 0.280125i | ||||
\(791\) | 6.98764 | 0.248452 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 6.17726i | 0.219361i | ||||||||
\(794\) | 0.452049 | − | 1.39126i | 0.0160426 | − | 0.0493741i | ||||
\(795\) | −8.71455 | − | 3.47500i | −0.309073 | − | 0.123245i | ||||
\(796\) | 1.57748 | + | 1.14610i | 0.0559122 | + | 0.0406226i | ||||
\(797\) | 42.8341 | − | 13.9176i | 1.51726 | − | 0.492988i | 0.572264 | − | 0.820069i | \(-0.306065\pi\) |
0.944996 | + | 0.327081i | \(0.106065\pi\) | |||||||
\(798\) | −1.82007 | + | 0.591377i | −0.0644298 | + | 0.0209345i | ||||
\(799\) | −11.0597 | − | 8.03534i | −0.391264 | − | 0.284270i | ||||
\(800\) | 28.6504 | − | 5.32034i | 1.01294 | − | 0.188102i | ||||
\(801\) | −0.192423 | + | 0.592218i | −0.00679894 | + | 0.0209250i | ||||
\(802\) | 4.31920i | 0.152516i | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 16.2115 | 0.571737 | ||||||||
\(805\) | 1.91299 | − | 0.486192i | 0.0674240 | − | 0.0171360i | ||||
\(806\) | 7.18851 | − | 5.22276i | 0.253204 | − | 0.183964i | ||||
\(807\) | 4.96875 | − | 6.83889i | 0.174908 | − | 0.240740i | ||||
\(808\) | −25.4416 | + | 8.26649i | −0.895034 | + | 0.290814i | ||||
\(809\) | 7.34698 | + | 22.6117i | 0.258306 | + | 0.794984i | 0.993160 | + | 0.116759i | \(0.0372506\pi\) |
−0.734854 | + | 0.678225i | \(0.762749\pi\) | |||||||
\(810\) | 16.6401 | + | 1.08774i | 0.584673 | + | 0.0382194i | ||||
\(811\) | −6.63288 | + | 4.81907i | −0.232912 | + | 0.169220i | −0.698120 | − | 0.715981i | \(-0.745980\pi\) |
0.465208 | + | 0.885202i | \(0.345980\pi\) | |||||||
\(812\) | 2.72957 | + | 0.886893i | 0.0957893 | + | 0.0311238i | ||||
\(813\) | − | 41.0787i | − | 1.44069i | ||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −22.3910 | + | 14.1331i | −0.784323 | + | 0.495062i | ||||
\(816\) | −2.11478 | + | 6.50864i | −0.0740322 | + | 0.227848i | ||||
\(817\) | −12.7957 | − | 17.6117i | −0.447663 | − | 0.616156i | ||||
\(818\) | −17.3071 | + | 23.8212i | −0.605130 | + | 0.832890i | ||||
\(819\) | 0.0329109 | + | 0.101289i | 0.00115000 | + | 0.00353933i | ||||
\(820\) | −16.2988 | + | 19.6041i | −0.569178 | + | 0.684604i | ||||
\(821\) | −35.1415 | − | 25.5318i | −1.22645 | − | 0.891066i | −0.229828 | − | 0.973231i | \(-0.573816\pi\) |
−0.996619 | + | 0.0821658i | \(0.973816\pi\) | |||||||
\(822\) | 3.34962 | + | 4.61036i | 0.116831 | + | 0.160805i | ||||
\(823\) | 49.1507 | + | 15.9700i | 1.71328 | + | 0.556680i | 0.990875 | − | 0.134785i | \(-0.0430345\pi\) |
0.722410 | + | 0.691465i | \(0.243034\pi\) | |||||||
\(824\) | −36.4211 | −1.26879 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −0.0181927 | −0.000633004 | ||||||||
\(827\) | −24.0692 | − | 7.82057i | −0.836970 | − | 0.271948i | −0.140991 | − | 0.990011i | \(-0.545029\pi\) |
−0.695978 | + | 0.718063i | \(0.745029\pi\) | |||||||
\(828\) | 0.119047 | + | 0.163854i | 0.00413717 | + | 0.00569432i | ||||
\(829\) | −33.8784 | − | 24.6141i | −1.17665 | − | 0.854883i | −0.184856 | − | 0.982766i | \(-0.559182\pi\) |
−0.991789 | + | 0.127883i | \(0.959182\pi\) | |||||||
\(830\) | 6.81906 | − | 8.20193i | 0.236693 | − | 0.284693i | ||||
\(831\) | −11.9143 | − | 36.6684i | −0.413302 | − | 1.27201i | ||||
\(832\) | −3.77668 | + | 5.19815i | −0.130933 | + | 0.180213i | ||||
\(833\) | −27.6604 | − | 38.0713i | −0.958376 | − | 1.31909i | ||||
\(834\) | −3.46556 | + | 10.6659i | −0.120003 | + | 0.369330i | ||||
\(835\) | −16.5005 | + | 10.4151i | −0.571024 | + | 0.360428i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 31.4885i | 1.08840i | ||||||||
\(838\) | −2.18817 | − | 0.710980i | −0.0755891 | − | 0.0245604i | ||||
\(839\) | −11.6376 | + | 8.45518i | −0.401773 | + | 0.291905i | −0.770263 | − | 0.637727i | \(-0.779875\pi\) |
0.368490 | + | 0.929632i | \(0.379875\pi\) | |||||||
\(840\) | 6.26592 | + | 0.409596i | 0.216195 | + | 0.0141324i | ||||
\(841\) | −5.01097 | − | 15.4222i | −0.172792 | − | 0.531800i | ||||
\(842\) | −3.55731 | + | 1.15584i | −0.122593 | + | 0.0398329i | ||||
\(843\) | −16.3266 | + | 22.4716i | −0.562318 | + | 0.773965i | ||||
\(844\) | 9.52134 | − | 6.91766i | 0.327738 | − | 0.238116i | ||||
\(845\) | −21.1914 | + | 5.38585i | −0.729006 | + | 0.185279i | ||||
\(846\) | −0.155383 | −0.00534218 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 1.30870i | 0.0449408i | ||||||||
\(849\) | −12.3016 | + | 37.8605i | −0.422190 | + | 1.29937i | ||||
\(850\) | 5.18592 | + | 27.9265i | 0.177876 | + | 0.957872i | ||||
\(851\) | −8.84960 | − | 6.42961i | −0.303360 | − | 0.220404i | ||||
\(852\) | 26.7732 | − | 8.69914i | 0.917235 | − | 0.298028i | ||||
\(853\) | −40.8968 | + | 13.2882i | −1.40028 | + | 0.454978i | −0.909281 | − | 0.416183i | \(-0.863368\pi\) |
−0.490998 | + | 0.871161i | \(0.663368\pi\) | |||||||
\(854\) | 1.32332 | + | 0.961450i | 0.0452832 | + | 0.0329001i | ||||
\(855\) | 0.475992 | + | 0.189806i | 0.0162786 | + | 0.00649122i | ||||
\(856\) | 4.66492 | − | 14.3571i | 0.159444 | − | 0.490717i | ||||
\(857\) | − | 54.3052i | − | 1.85503i | −0.373784 | − | 0.927516i | \(-0.621940\pi\) | ||
0.373784 | − | 0.927516i | \(-0.378060\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −24.3361 | −0.830336 | −0.415168 | − | 0.909745i | \(-0.636277\pi\) | ||||
−0.415168 | + | 0.909745i | \(0.636277\pi\) | |||||||
\(860\) | 7.10806 | + | 27.9677i | 0.242383 | + | 0.953689i | ||||
\(861\) | −7.09344 | + | 5.15369i | −0.241744 | + | 0.175637i | ||||
\(862\) | −9.79917 | + | 13.4874i | −0.333761 | + | 0.459383i | ||||
\(863\) | −37.2339 | + | 12.0980i | −1.26746 | + | 0.411822i | −0.864146 | − | 0.503241i | \(-0.832141\pi\) |
−0.403312 | + | 0.915063i | \(0.632141\pi\) | |||||||
\(864\) | −9.19531 | − | 28.3003i | −0.312831 | − | 0.962795i | ||||
\(865\) | 20.4803 | + | 1.33877i | 0.696351 | + | 0.0455196i | ||||
\(866\) | 8.31045 | − | 6.03789i | 0.282400 | − | 0.205176i | ||||
\(867\) | −55.4039 | − | 18.0018i | −1.88162 | − | 0.611374i | ||||
\(868\) | 4.95043i | 0.168029i | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 6.03138 | + | 9.55548i | 0.204483 | + | 0.323961i | ||||
\(871\) | 3.76698 | − | 11.5936i | 0.127639 | − | 0.392833i | ||||
\(872\) | −29.4487 | − | 40.5327i | −0.997260 | − | 1.37261i | ||||
\(873\) | −0.316648 | + | 0.435828i | −0.0107169 | + | 0.0147505i | ||||
\(874\) | 0.845656 | + | 2.60266i | 0.0286047 | + | 0.0880363i | ||||
\(875\) | −6.01038 | + | 2.77463i | −0.203188 | + | 0.0937995i | ||||
\(876\) | −13.1755 | − | 9.57259i | −0.445160 | − | 0.323428i | ||||
\(877\) | −25.3266 | − | 34.8591i | −0.855219 | − | 1.17711i | −0.982689 | − | 0.185265i | \(-0.940686\pi\) |
0.127470 | − | 0.991842i | \(-0.459314\pi\) | |||||||
\(878\) | −8.10808 | − | 2.63447i | −0.273634 | − | 0.0889092i | ||||
\(879\) | 23.3468 | 0.787466 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −38.1083 | −1.28390 | −0.641950 | − | 0.766746i | \(-0.721874\pi\) | ||||
−0.641950 | + | 0.766746i | \(0.721874\pi\) | |||||||
\(882\) | −0.508703 | − | 0.165288i | −0.0171289 | − | 0.00556552i | ||||
\(883\) | −17.0611 | − | 23.4826i | −0.574152 | − | 0.790252i | 0.418887 | − | 0.908038i | \(-0.362420\pi\) |
−0.993039 | + | 0.117786i | \(0.962420\pi\) | |||||||
\(884\) | 13.9318 | + | 10.1220i | 0.468577 | + | 0.340441i | ||||
\(885\) | 0.115885 | + | 0.0963464i | 0.00389543 | + | 0.00323865i | ||||
\(886\) | 1.63685 | + | 5.03771i | 0.0549911 | + | 0.169245i | ||||
\(887\) | 1.30003 | − | 1.78934i | 0.0436508 | − | 0.0600801i | −0.786634 | − | 0.617420i | \(-0.788178\pi\) |
0.830284 | + | 0.557340i | \(0.188178\pi\) | |||||||
\(888\) | −20.4546 | − | 28.1533i | −0.686411 | − | 0.944764i | ||||
\(889\) | 2.93788 | − | 9.04186i | 0.0985332 | − | 0.303254i | ||||
\(890\) | 9.43136 | − | 5.95304i | 0.316140 | − | 0.199546i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 8.54894i | 0.286240i | ||||||||
\(893\) | 4.20118 | + | 1.36505i | 0.140587 | + | 0.0456796i | ||||
\(894\) | 14.2938 | − | 10.3850i | 0.478055 | − | 0.347327i | ||||
\(895\) | 0.211226 | − | 3.23130i | 0.00706051 | − | 0.108010i | ||||
\(896\) | −1.60695 | − | 4.94569i | −0.0536845 | − | 0.165224i | ||||
\(897\) | 4.48087 | − | 1.45592i | 0.149612 | − | 0.0486118i | ||||
\(898\) | −6.42991 | + | 8.85002i | −0.214569 | + | 0.295329i | ||||
\(899\) | −17.8396 | + | 12.9612i | −0.594983 | + | 0.432280i | ||||
\(900\) | −0.492893 | − | 0.467412i | −0.0164298 | − | 0.0155804i | ||||
\(901\) | −16.8641 | −0.561825 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 9.92432i | 0.330261i | ||||||||
\(904\) | 9.82309 | − | 30.2323i | 0.326711 | − | 1.00551i | ||||
\(905\) | 1.64812 | + | 0.657203i | 0.0547855 | + | 0.0218462i | ||||
\(906\) | −9.60757 | − | 6.98031i | −0.319190 | − | 0.231905i | ||||
\(907\) | 25.3802 | − | 8.24653i | 0.842736 | − | 0.273822i | 0.144336 | − | 0.989529i | \(-0.453895\pi\) |
0.698401 | + | 0.715707i | \(0.253895\pi\) | |||||||
\(908\) | −1.43993 | + | 0.467861i | −0.0477857 | + | 0.0155265i | ||||
\(909\) | 0.805166 | + | 0.584988i | 0.0267057 | + | 0.0194028i | ||||
\(910\) | 0.706544 | − | 1.77186i | 0.0234217 | − | 0.0587366i | ||||
\(911\) | −11.2092 | + | 34.4983i | −0.371376 | + | 1.14298i | 0.574515 | + | 0.818494i | \(0.305191\pi\) |
−0.945891 | + | 0.324484i | \(0.894809\pi\) | |||||||
\(912\) | − | 2.21138i | − | 0.0732261i | ||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | −10.8363 | −0.358434 | ||||||||
\(915\) | −3.33766 | − | 13.1325i | −0.110340 | − | 0.434146i | ||||
\(916\) | −4.60220 | + | 3.34369i | −0.152061 | + | 0.110479i | ||||
\(917\) | −6.27482 | + | 8.63655i | −0.207213 | + | 0.285204i | ||||
\(918\) | 27.5853 | − | 8.96300i | 0.910450 | − | 0.295823i | ||||
\(919\) | −9.16908 | − | 28.2195i | −0.302460 | − | 0.930876i | −0.980613 | − | 0.195955i | \(-0.937219\pi\) |
0.678153 | − | 0.734921i | \(-0.262781\pi\) | |||||||
\(920\) | 0.585713 | − | 8.96012i | 0.0193104 | − | 0.295406i | ||||
\(921\) | −14.2677 | + | 10.3661i | −0.470135 | + | 0.341573i | ||||
\(922\) | −8.64311 | − | 2.80832i | −0.284646 | − | 0.0924870i | ||||
\(923\) | − | 21.1680i | − | 0.696754i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 33.1188 | + | 15.7827i | 1.08894 | + | 0.518932i | ||||
\(926\) | −1.19805 | + | 3.68720i | −0.0393702 | + | 0.121169i | ||||
\(927\) | 0.796455 | + | 1.09623i | 0.0261590 | + | 0.0360048i | ||||
\(928\) | 12.2483 | − | 16.8584i | 0.402071 | − | 0.553403i | ||||
\(929\) | −8.58220 | − | 26.4133i | −0.281573 | − | 0.866592i | −0.987405 | − | 0.158213i | \(-0.949427\pi\) |
0.705832 | − | 0.708379i | \(-0.250573\pi\) | |||||||
\(930\) | −12.4604 | + | 14.9873i | −0.408593 | + | 0.491453i | ||||
\(931\) | 12.3020 | + | 8.93795i | 0.403183 | + | 0.292930i | ||||
\(932\) | 5.40219 | + | 7.43548i | 0.176955 | + | 0.243557i | ||||
\(933\) | −5.70735 | − | 1.85443i | −0.186850 | − | 0.0607113i | ||||
\(934\) | −19.2786 | −0.630817 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0.484498 | 0.0158363 | ||||||||
\(937\) | 28.7620 | + | 9.34532i | 0.939612 | + | 0.305298i | 0.738487 | − | 0.674267i | \(-0.235540\pi\) |
0.201125 | + | 0.979566i | \(0.435540\pi\) | |||||||
\(938\) | −1.89733 | − | 2.61144i | −0.0619499 | − | 0.0852667i | ||||
\(939\) | −34.9007 | − | 25.3568i | −1.13894 | − | 0.827489i | ||||
\(940\) | −4.50266 | − | 3.74350i | −0.146861 | − | 0.122100i | ||||
\(941\) | 1.85618 | + | 5.71273i | 0.0605097 | + | 0.186230i | 0.976742 | − | 0.214418i | \(-0.0687853\pi\) |
−0.916232 | + | 0.400647i | \(0.868785\pi\) | |||||||
\(942\) | −11.6270 | + | 16.0032i | −0.378828 | + | 0.521412i | ||||
\(943\) | 7.36966 | + | 10.1435i | 0.239989 | + | 0.330317i | ||||
\(944\) | 0.00649622 | − | 0.0199933i | 0.000211434 | − | 0.000650727i | ||||
\(945\) | 3.60821 | + | 5.71646i | 0.117375 | + | 0.185956i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 10.0218i | 0.325665i | 0.986654 | + | 0.162833i | \(0.0520630\pi\) | ||||
−0.986654 | + | 0.162833i | \(0.947937\pi\) | |||||||
\(948\) | 10.2749 | + | 3.33851i | 0.333713 | + | 0.108430i | ||||
\(949\) | −9.90729 | + | 7.19807i | −0.321604 | + | 0.233659i | ||||
\(950\) | −4.38228 | − | 8.06446i | −0.142180 | − | 0.261646i | ||||
\(951\) | −3.80244 | − | 11.7027i | −0.123303 | − | 0.379486i | ||||
\(952\) | 10.7348 | − | 3.48794i | 0.347916 | − | 0.113045i | ||||
\(953\) | −5.74934 | + | 7.91329i | −0.186239 | + | 0.256336i | −0.891920 | − | 0.452194i | \(-0.850641\pi\) |
0.705680 | + | 0.708530i | \(0.250641\pi\) | |||||||
\(954\) | −0.155074 | + | 0.112668i | −0.00502071 | + | 0.00364776i | ||||
\(955\) | 17.6631 | − | 4.48912i | 0.571564 | − | 0.145264i | ||||
\(956\) | 5.96237 | 0.192837 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 34.6967i | 1.12100i | ||||||||
\(959\) | −0.737749 | + | 2.27056i | −0.0238231 | + | 0.0733201i | ||||
\(960\) | 5.22036 | − | 13.0915i | 0.168486 | − | 0.422528i | ||||
\(961\) | −5.69127 | − | 4.13495i | −0.183589 | − | 0.133385i | ||||
\(962\) | −10.0540 | + | 3.26676i | −0.324155 | + | 0.105324i | ||||
\(963\) | −0.534142 | + | 0.173553i | −0.0172125 | + | 0.00559268i | ||||
\(964\) | −10.5423 | − | 7.65942i | −0.339544 | − | 0.246693i | ||||
\(965\) | 3.61801 | − | 9.07320i | 0.116468 | − | 0.292077i | ||||
\(966\) | 0.385523 | − | 1.18652i | 0.0124040 | − | 0.0381756i | ||||
\(967\) | 1.22635i | 0.0394367i | 0.999806 | + | 0.0197184i | \(0.00627695\pi\) | ||||
−0.999806 | + | 0.0197184i | \(0.993723\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 28.4963 | 0.915432 | ||||||||
\(970\) | 9.35151 | − | 2.37671i | 0.300259 | − | 0.0763116i | ||||
\(971\) | 36.1199 | − | 26.2426i | 1.15914 | − | 0.842167i | 0.169473 | − | 0.985535i | \(-0.445793\pi\) |
0.989669 | + | 0.143368i | \(0.0457933\pi\) | |||||||
\(972\) | −0.829522 | + | 1.14174i | −0.0266069 | + | 0.0366213i | ||||
\(973\) | −4.46834 | + | 1.45185i | −0.143248 | + | 0.0465442i | ||||
\(974\) | 10.4083 | + | 32.0335i | 0.333503 | + | 1.02642i | ||||
\(975\) | −13.8842 | + | 7.54474i | −0.444649 | + | 0.241625i | ||||
\(976\) | −1.52914 | + | 1.11099i | −0.0489466 | + | 0.0355618i | ||||
\(977\) | −44.9328 | − | 14.5996i | −1.43753 | − | 0.467081i | −0.516402 | − | 0.856346i | \(-0.672729\pi\) |
−0.921126 | + | 0.389265i | \(0.872729\pi\) | |||||||
\(978\) | 16.7361i | 0.535162i | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −10.7590 | − | 17.0454i | −0.343683 | − | 0.544495i | ||||
\(981\) | −0.575996 | + | 1.77273i | −0.0183901 | + | 0.0565991i | ||||
\(982\) | −4.27456 | − | 5.88343i | −0.136407 | − | 0.187748i | ||||
\(983\) | −8.19082 | + | 11.2737i | −0.261247 | + | 0.359575i | −0.919410 | − | 0.393300i | \(-0.871333\pi\) |
0.658164 | + | 0.752875i | \(0.271333\pi\) | |||||||
\(984\) | 12.3259 | + | 37.9351i | 0.392934 | + | 1.20933i | ||||
\(985\) | −26.9135 | − | 22.3758i | −0.857535 | − | 0.712952i | ||||
\(986\) | 16.4325 | + | 11.9389i | 0.523316 | + | 0.380211i | ||||
\(987\) | −1.18370 | − | 1.62922i | −0.0376775 | − | 0.0518587i | ||||
\(988\) | −5.29219 | − | 1.71954i | −0.168367 | − | 0.0547058i | ||||
\(989\) | 14.1916 | 0.451265 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 36.5755 | 1.16186 | 0.580930 | − | 0.813953i | \(-0.302689\pi\) | ||||
0.580930 | + | 0.813953i | \(0.302689\pi\) | |||||||
\(992\) | 34.1837 | + | 11.1070i | 1.08533 | + | 0.352646i | ||||
\(993\) | −5.84037 | − | 8.03858i | −0.185339 | − | 0.255097i | ||||
\(994\) | −4.53472 | − | 3.29467i | −0.143833 | − | 0.104501i | ||||
\(995\) | −2.05610 | + | 2.47306i | −0.0651827 | + | 0.0784013i | ||||
\(996\) | 4.38341 | + | 13.4907i | 0.138894 | + | 0.427470i | ||||
\(997\) | −11.3687 | + | 15.6476i | −0.360049 | + | 0.495565i | −0.950162 | − | 0.311755i | \(-0.899083\pi\) |
0.590113 | + | 0.807320i | \(0.299083\pi\) | |||||||
\(998\) | 14.2862 | + | 19.6633i | 0.452222 | + | 0.622431i | ||||
\(999\) | 11.5768 | − | 35.6297i | 0.366273 | − | 1.12727i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))