Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [322,2,Mod(29,322)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(322, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("322.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 322 = 2 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 322.i (of order \(11\), degree \(10\), 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: | \(2.57118294509\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 9 x^{19} + 41 x^{18} - 119 x^{17} + 245 x^{16} - 404 x^{15} + 623 x^{14} - 898 x^{13} + 1048 x^{12} - 693 x^{11} + 859 x^{10} - 935 x^{9} + 620 x^{8} + 679 x^{7} + 1220 x^{6} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 197.2 | ||
Root | \(2.47844 - 0.727734i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 322.197 |
Dual form | 322.2.i.c.85.2 |
$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.654861 | − | 0.755750i | −0.463056 | − | 0.534396i | ||||
\(3\) | 1.33176 | + | 0.855871i | 0.768893 | + | 0.494138i | 0.865331 | − | 0.501201i | \(-0.167108\pi\) |
−0.0964376 | + | 0.995339i | \(0.530745\pi\) | |||||||
\(4\) | −0.142315 | + | 0.989821i | −0.0711574 | + | 0.494911i | ||||
\(5\) | 0.426940 | − | 0.934869i | 0.190934 | − | 0.418086i | −0.789819 | − | 0.613340i | \(-0.789826\pi\) |
0.980753 | + | 0.195253i | \(0.0625529\pi\) | |||||||
\(6\) | −0.225294 | − | 1.56696i | −0.0919759 | − | 0.639707i | ||||
\(7\) | −0.959493 | − | 0.281733i | −0.362654 | − | 0.106485i | ||||
\(8\) | 0.841254 | − | 0.540641i | 0.297428 | − | 0.191145i | ||||
\(9\) | −0.205171 | − | 0.449262i | −0.0683904 | − | 0.149754i | ||||
\(10\) | −0.986114 | + | 0.289549i | −0.311837 | + | 0.0915635i | ||||
\(11\) | 2.66816 | − | 3.07922i | 0.804481 | − | 0.928421i | −0.194137 | − | 0.980974i | \(-0.562191\pi\) |
0.998618 | + | 0.0525536i | \(0.0167361\pi\) | |||||||
\(12\) | −1.03669 | + | 1.19640i | −0.299266 | + | 0.345372i | ||||
\(13\) | 5.08004 | − | 1.49163i | 1.40895 | − | 0.413705i | 0.513202 | − | 0.858268i | \(-0.328459\pi\) |
0.895747 | + | 0.444563i | \(0.146641\pi\) | |||||||
\(14\) | 0.415415 | + | 0.909632i | 0.111024 | + | 0.243109i | ||||
\(15\) | 1.36871 | − | 0.879617i | 0.353400 | − | 0.227116i | ||||
\(16\) | −0.959493 | − | 0.281733i | −0.239873 | − | 0.0704331i | ||||
\(17\) | 0.323828 | + | 2.25227i | 0.0785399 | + | 0.546257i | 0.990662 | + | 0.136339i | \(0.0435336\pi\) |
−0.912122 | + | 0.409918i | \(0.865557\pi\) | |||||||
\(18\) | −0.205171 | + | 0.449262i | −0.0483593 | + | 0.105892i | ||||
\(19\) | −0.474179 | + | 3.29799i | −0.108784 | + | 0.756610i | 0.860284 | + | 0.509815i | \(0.170286\pi\) |
−0.969068 | + | 0.246794i | \(0.920623\pi\) | |||||||
\(20\) | 0.864594 | + | 0.555641i | 0.193329 | + | 0.124245i | ||||
\(21\) | −1.03669 | − | 1.19640i | −0.226224 | − | 0.261077i | ||||
\(22\) | −4.07440 | −0.868664 | ||||||||
\(23\) | 4.65285 | + | 1.16231i | 0.970187 | + | 0.242358i | ||||
\(24\) | 1.58307 | 0.323142 | ||||||||
\(25\) | 2.58260 | + | 2.98048i | 0.516520 | + | 0.596096i | ||||
\(26\) | −4.45402 | − | 2.86242i | −0.873505 | − | 0.561368i | ||||
\(27\) | 0.787154 | − | 5.47478i | 0.151488 | − | 1.05362i | ||||
\(28\) | 0.415415 | − | 0.909632i | 0.0785061 | − | 0.171904i | ||||
\(29\) | 0.0814920 | + | 0.566789i | 0.0151327 | + | 0.105250i | 0.995988 | − | 0.0894885i | \(-0.0285232\pi\) |
−0.980855 | + | 0.194739i | \(0.937614\pi\) | |||||||
\(30\) | −1.56109 | − | 0.458376i | −0.285014 | − | 0.0836876i | ||||
\(31\) | −8.38147 | + | 5.38644i | −1.50536 | + | 0.967434i | −0.511202 | + | 0.859460i | \(0.670800\pi\) |
−0.994154 | + | 0.107973i | \(0.965564\pi\) | |||||||
\(32\) | 0.415415 | + | 0.909632i | 0.0734357 | + | 0.160802i | ||||
\(33\) | 6.18878 | − | 1.81719i | 1.07733 | − | 0.316332i | ||||
\(34\) | 1.49009 | − | 1.71966i | 0.255549 | − | 0.294919i | ||||
\(35\) | −0.673030 | + | 0.776717i | −0.113763 | + | 0.131289i | ||||
\(36\) | 0.473888 | − | 0.139146i | 0.0789814 | − | 0.0231910i | ||||
\(37\) | −0.813758 | − | 1.78188i | −0.133781 | − | 0.292939i | 0.830872 | − | 0.556464i | \(-0.187842\pi\) |
−0.964653 | + | 0.263525i | \(0.915115\pi\) | |||||||
\(38\) | 2.80297 | − | 1.80136i | 0.454702 | − | 0.292219i | ||||
\(39\) | 8.04205 | + | 2.36136i | 1.28776 | + | 0.378120i | ||||
\(40\) | −0.146263 | − | 1.01728i | −0.0231263 | − | 0.160847i | ||||
\(41\) | 2.46732 | − | 5.40267i | 0.385330 | − | 0.843755i | −0.613219 | − | 0.789913i | \(-0.710126\pi\) |
0.998549 | − | 0.0538424i | \(-0.0171469\pi\) | |||||||
\(42\) | −0.225294 | + | 1.56696i | −0.0347636 | + | 0.241786i | ||||
\(43\) | −9.19826 | − | 5.91136i | −1.40272 | − | 0.901475i | −0.402817 | − | 0.915280i | \(-0.631969\pi\) |
−0.999905 | + | 0.0138058i | \(0.995605\pi\) | |||||||
\(44\) | 2.66816 | + | 3.07922i | 0.402241 | + | 0.464210i | ||||
\(45\) | −0.507597 | −0.0756681 | ||||||||
\(46\) | −2.16856 | − | 4.27754i | −0.319737 | − | 0.630689i | ||||
\(47\) | −7.21974 | −1.05311 | −0.526554 | − | 0.850142i | \(-0.676516\pi\) | ||||
−0.526554 | + | 0.850142i | \(0.676516\pi\) | |||||||
\(48\) | −1.03669 | − | 1.19640i | −0.149633 | − | 0.172686i | ||||
\(49\) | 0.841254 | + | 0.540641i | 0.120179 | + | 0.0772344i | ||||
\(50\) | 0.561253 | − | 3.90360i | 0.0793731 | − | 0.552052i | ||||
\(51\) | −1.49640 | + | 3.27665i | −0.209537 | + | 0.458823i | ||||
\(52\) | 0.753486 | + | 5.24061i | 0.104490 | + | 0.726742i | ||||
\(53\) | −7.15625 | − | 2.10126i | −0.982987 | − | 0.288631i | −0.249530 | − | 0.968367i | \(-0.580276\pi\) |
−0.733457 | + | 0.679736i | \(0.762094\pi\) | |||||||
\(54\) | −4.65304 | + | 2.99032i | −0.633198 | + | 0.406932i | ||||
\(55\) | −1.73952 | − | 3.80903i | −0.234557 | − | 0.513609i | ||||
\(56\) | −0.959493 | + | 0.281733i | −0.128218 | + | 0.0376481i | ||||
\(57\) | −3.45414 | + | 3.98630i | −0.457513 | + | 0.527998i | ||||
\(58\) | 0.374985 | − | 0.432756i | 0.0492379 | − | 0.0568236i | ||||
\(59\) | 4.02616 | − | 1.18219i | 0.524161 | − | 0.153908i | −0.00893850 | − | 0.999960i | \(-0.502845\pi\) |
0.533100 | + | 0.846052i | \(0.321027\pi\) | |||||||
\(60\) | 0.675876 | + | 1.47996i | 0.0872552 | + | 0.191062i | ||||
\(61\) | −5.62552 | + | 3.61530i | −0.720274 | + | 0.462892i | −0.848732 | − | 0.528823i | \(-0.822634\pi\) |
0.128458 | + | 0.991715i | \(0.458997\pi\) | |||||||
\(62\) | 9.55950 | + | 2.80692i | 1.21406 | + | 0.356479i | ||||
\(63\) | 0.0702885 | + | 0.488867i | 0.00885552 | + | 0.0615915i | ||||
\(64\) | 0.415415 | − | 0.909632i | 0.0519269 | − | 0.113704i | ||||
\(65\) | 0.774391 | − | 5.38601i | 0.0960514 | − | 0.668052i | ||||
\(66\) | −5.42613 | − | 3.48716i | −0.667910 | − | 0.429240i | ||||
\(67\) | −2.06638 | − | 2.38473i | −0.252449 | − | 0.291341i | 0.615353 | − | 0.788251i | \(-0.289013\pi\) |
−0.867802 | + | 0.496910i | \(0.834468\pi\) | |||||||
\(68\) | −2.27544 | −0.275937 | ||||||||
\(69\) | 5.20171 | + | 5.53016i | 0.626212 | + | 0.665753i | ||||
\(70\) | 1.02774 | 0.122839 | ||||||||
\(71\) | 6.56994 | + | 7.58211i | 0.779708 | + | 0.899831i | 0.997088 | − | 0.0762559i | \(-0.0242966\pi\) |
−0.217380 | + | 0.976087i | \(0.569751\pi\) | |||||||
\(72\) | −0.415491 | − | 0.267020i | −0.0489660 | − | 0.0314686i | ||||
\(73\) | −1.30769 | + | 9.09520i | −0.153054 | + | 1.06451i | 0.758009 | + | 0.652245i | \(0.226172\pi\) |
−0.911062 | + | 0.412268i | \(0.864737\pi\) | |||||||
\(74\) | −0.813758 | + | 1.78188i | −0.0945974 | + | 0.207139i | ||||
\(75\) | 0.888502 | + | 6.17967i | 0.102595 | + | 0.713566i | ||||
\(76\) | −3.19693 | − | 0.938705i | −0.366714 | − | 0.107677i | ||||
\(77\) | −3.42760 | + | 2.20279i | −0.390611 | + | 0.251031i | ||||
\(78\) | −3.48183 | − | 7.62413i | −0.394239 | − | 0.863263i | ||||
\(79\) | −11.2236 | + | 3.29555i | −1.26276 | + | 0.370778i | −0.843519 | − | 0.537099i | \(-0.819520\pi\) |
−0.419236 | + | 0.907877i | \(0.637702\pi\) | |||||||
\(80\) | −0.673030 | + | 0.776717i | −0.0752470 | + | 0.0868397i | ||||
\(81\) | 4.76371 | − | 5.49761i | 0.529301 | − | 0.610846i | ||||
\(82\) | −5.69881 | + | 1.67332i | −0.629329 | + | 0.184788i | ||||
\(83\) | 6.21437 | + | 13.6076i | 0.682116 | + | 1.49363i | 0.860385 | + | 0.509644i | \(0.170223\pi\) |
−0.178269 | + | 0.983982i | \(0.557050\pi\) | |||||||
\(84\) | 1.33176 | − | 0.855871i | 0.145307 | − | 0.0933832i | ||||
\(85\) | 2.24384 | + | 0.658850i | 0.243378 | + | 0.0714623i | ||||
\(86\) | 1.55607 | + | 10.8227i | 0.167795 | + | 1.16704i | ||||
\(87\) | −0.376571 | + | 0.824575i | −0.0403726 | + | 0.0884037i | ||||
\(88\) | 0.579847 | − | 4.03293i | 0.0618119 | − | 0.429911i | ||||
\(89\) | 11.6806 | + | 7.50667i | 1.23814 | + | 0.795705i | 0.985139 | − | 0.171760i | \(-0.0549455\pi\) |
0.253003 | + | 0.967466i | \(0.418582\pi\) | |||||||
\(90\) | 0.332406 | + | 0.383616i | 0.0350386 | + | 0.0404367i | ||||
\(91\) | −5.29450 | −0.555015 | ||||||||
\(92\) | −1.81265 | + | 4.44008i | −0.188981 | + | 0.462910i | ||||
\(93\) | −15.7722 | −1.63550 | ||||||||
\(94\) | 4.72793 | + | 5.45632i | 0.487648 | + | 0.562776i | ||||
\(95\) | 2.88074 | + | 1.85134i | 0.295558 | + | 0.189943i | ||||
\(96\) | −0.225294 | + | 1.56696i | −0.0229940 | + | 0.159927i | ||||
\(97\) | 3.04736 | − | 6.67279i | 0.309412 | − | 0.677519i | −0.689493 | − | 0.724292i | \(-0.742167\pi\) |
0.998906 | + | 0.0467735i | \(0.0148939\pi\) | |||||||
\(98\) | −0.142315 | − | 0.989821i | −0.0143760 | − | 0.0999871i | ||||
\(99\) | −1.93081 | − | 0.566937i | −0.194054 | − | 0.0569793i | ||||
\(100\) | −3.31769 | + | 2.13215i | −0.331769 | + | 0.213215i | ||||
\(101\) | −2.74912 | − | 6.01973i | −0.273547 | − | 0.598985i | 0.722141 | − | 0.691746i | \(-0.243158\pi\) |
−0.995688 | + | 0.0927605i | \(0.970431\pi\) | |||||||
\(102\) | 3.45626 | − | 1.01485i | 0.342220 | − | 0.100485i | ||||
\(103\) | −1.32656 | + | 1.53093i | −0.130710 | + | 0.150847i | −0.817331 | − | 0.576168i | \(-0.804547\pi\) |
0.686622 | + | 0.727015i | \(0.259093\pi\) | |||||||
\(104\) | 3.46716 | − | 4.00132i | 0.339983 | − | 0.392361i | ||||
\(105\) | −1.56109 | + | 0.458376i | −0.152346 | + | 0.0447329i | ||||
\(106\) | 3.09832 | + | 6.78437i | 0.300935 | + | 0.658956i | ||||
\(107\) | −16.9137 | + | 10.8698i | −1.63511 | + | 1.05082i | −0.690136 | + | 0.723680i | \(0.742449\pi\) |
−0.944975 | + | 0.327142i | \(0.893914\pi\) | |||||||
\(108\) | 5.30703 | + | 1.55828i | 0.510669 | + | 0.149946i | ||||
\(109\) | −1.43194 | − | 9.95939i | −0.137155 | − | 0.953937i | −0.935900 | − | 0.352266i | \(-0.885411\pi\) |
0.798744 | − | 0.601670i | \(-0.205498\pi\) | |||||||
\(110\) | −1.73952 | + | 3.80903i | −0.165857 | + | 0.363177i | ||||
\(111\) | 0.441329 | − | 3.06951i | 0.0418891 | − | 0.291345i | ||||
\(112\) | 0.841254 | + | 0.540641i | 0.0794910 | + | 0.0510858i | ||||
\(113\) | −1.24471 | − | 1.43647i | −0.117093 | − | 0.135132i | 0.694177 | − | 0.719804i | \(-0.255769\pi\) |
−0.811270 | + | 0.584672i | \(0.801223\pi\) | |||||||
\(114\) | 5.27462 | 0.494014 | ||||||||
\(115\) | 3.07310 | − | 3.85357i | 0.286568 | − | 0.359348i | ||||
\(116\) | −0.572618 | −0.0531662 | ||||||||
\(117\) | −1.71241 | − | 1.97623i | −0.158313 | − | 0.182702i | ||||
\(118\) | −3.53001 | − | 2.26860i | −0.324964 | − | 0.208842i | ||||
\(119\) | 0.323828 | − | 2.25227i | 0.0296853 | − | 0.206466i | ||||
\(120\) | 0.675876 | − | 1.47996i | 0.0616988 | − | 0.135101i | ||||
\(121\) | −0.797064 | − | 5.54370i | −0.0724603 | − | 0.503973i | ||||
\(122\) | 6.41620 | + | 1.88397i | 0.580895 | + | 0.170566i | ||||
\(123\) | 7.90987 | − | 5.08336i | 0.713209 | − | 0.458351i | ||||
\(124\) | −4.13881 | − | 9.06273i | −0.371676 | − | 0.813857i | ||||
\(125\) | 8.81955 | − | 2.58965i | 0.788844 | − | 0.231626i | ||||
\(126\) | 0.323432 | − | 0.373261i | 0.0288136 | − | 0.0332527i | ||||
\(127\) | −5.43243 | + | 6.26935i | −0.482050 | + | 0.556315i | −0.943724 | − | 0.330735i | \(-0.892704\pi\) |
0.461674 | + | 0.887050i | \(0.347249\pi\) | |||||||
\(128\) | −0.959493 | + | 0.281733i | −0.0848080 | + | 0.0249019i | ||||
\(129\) | −7.19053 | − | 15.7451i | −0.633091 | − | 1.38628i | ||||
\(130\) | −4.57759 | + | 2.94184i | −0.401481 | + | 0.258016i | ||||
\(131\) | 16.0262 | + | 4.70571i | 1.40021 | + | 0.411140i | 0.892758 | − | 0.450537i | \(-0.148768\pi\) |
0.507456 | + | 0.861677i | \(0.330586\pi\) | |||||||
\(132\) | 0.917938 | + | 6.38440i | 0.0798962 | + | 0.555690i | ||||
\(133\) | 1.38412 | − | 3.03080i | 0.120019 | − | 0.262804i | ||||
\(134\) | −0.449068 | + | 3.12333i | −0.0387935 | + | 0.269815i | ||||
\(135\) | −4.78213 | − | 3.07329i | −0.411580 | − | 0.264507i | ||||
\(136\) | 1.49009 | + | 1.71966i | 0.127774 | + | 0.147460i | ||||
\(137\) | −6.23224 | −0.532456 | −0.266228 | − | 0.963910i | \(-0.585777\pi\) | ||||
−0.266228 | + | 0.963910i | \(0.585777\pi\) | |||||||
\(138\) | 0.773021 | − | 7.55267i | 0.0658039 | − | 0.642926i | ||||
\(139\) | 5.47079 | 0.464026 | 0.232013 | − | 0.972713i | \(-0.425469\pi\) | ||||
0.232013 | + | 0.972713i | \(0.425469\pi\) | |||||||
\(140\) | −0.673030 | − | 0.776717i | −0.0568814 | − | 0.0656446i | ||||
\(141\) | −9.61498 | − | 6.17917i | −0.809727 | − | 0.520380i | ||||
\(142\) | 1.42778 | − | 9.93045i | 0.119817 | − | 0.833345i | ||||
\(143\) | 8.96129 | − | 19.6225i | 0.749381 | − | 1.64092i | ||||
\(144\) | 0.0702885 | + | 0.488867i | 0.00585738 | + | 0.0407389i | ||||
\(145\) | 0.564666 | + | 0.165801i | 0.0468930 | + | 0.0137690i | ||||
\(146\) | 7.73005 | − | 4.96780i | 0.639744 | − | 0.411138i | ||||
\(147\) | 0.657630 | + | 1.44001i | 0.0542404 | + | 0.118770i | ||||
\(148\) | 1.87955 | − | 0.551887i | 0.154498 | − | 0.0453648i | ||||
\(149\) | 7.87751 | − | 9.09114i | 0.645351 | − | 0.744775i | −0.334960 | − | 0.942232i | \(-0.608723\pi\) |
0.980311 | + | 0.197457i | \(0.0632684\pi\) | |||||||
\(150\) | 4.08843 | − | 4.71830i | 0.333819 | − | 0.385248i | ||||
\(151\) | −11.8757 | + | 3.48703i | −0.966434 | + | 0.283771i | −0.726614 | − | 0.687046i | \(-0.758907\pi\) |
−0.239821 | + | 0.970817i | \(0.577089\pi\) | |||||||
\(152\) | 1.38412 | + | 3.03080i | 0.112267 | + | 0.245831i | ||||
\(153\) | 0.945422 | − | 0.607586i | 0.0764328 | − | 0.0491204i | ||||
\(154\) | 3.90935 | + | 1.14789i | 0.315025 | + | 0.0924996i | ||||
\(155\) | 1.45723 | + | 10.1353i | 0.117048 | + | 0.814084i | ||||
\(156\) | −3.48183 | + | 7.62413i | −0.278769 | + | 0.610419i | ||||
\(157\) | −1.12802 | + | 7.84556i | −0.0900259 | + | 0.626144i | 0.893993 | + | 0.448081i | \(0.147892\pi\) |
−0.984019 | + | 0.178063i | \(0.943017\pi\) | |||||||
\(158\) | 9.84052 | + | 6.32412i | 0.782869 | + | 0.503120i | ||||
\(159\) | −7.73201 | − | 8.92322i | −0.613188 | − | 0.707657i | ||||
\(160\) | 1.02774 | 0.0812503 | ||||||||
\(161\) | −4.13692 | − | 2.42608i | −0.326035 | − | 0.191202i | ||||
\(162\) | −7.27438 | −0.571530 | ||||||||
\(163\) | 13.3731 | + | 15.4334i | 1.04746 | + | 1.20884i | 0.977423 | + | 0.211291i | \(0.0677669\pi\) |
0.0700390 | + | 0.997544i | \(0.477688\pi\) | |||||||
\(164\) | 4.99654 | + | 3.21108i | 0.390164 | + | 0.250743i | ||||
\(165\) | 0.943405 | − | 6.56153i | 0.0734440 | − | 0.510814i | ||||
\(166\) | 6.21437 | − | 13.6076i | 0.482329 | − | 1.05615i | ||||
\(167\) | 1.06785 | + | 7.42705i | 0.0826326 | + | 0.574722i | 0.988507 | + | 0.151176i | \(0.0483059\pi\) |
−0.905874 | + | 0.423547i | \(0.860785\pi\) | |||||||
\(168\) | −1.51894 | − | 0.446002i | −0.117189 | − | 0.0344098i | ||||
\(169\) | 12.6455 | − | 8.12678i | 0.972732 | − | 0.625137i | ||||
\(170\) | −0.971475 | − | 2.12723i | −0.0745088 | − | 0.163151i | ||||
\(171\) | 1.57895 | − | 0.463621i | 0.120745 | − | 0.0354540i | ||||
\(172\) | 7.16024 | − | 8.26336i | 0.545964 | − | 0.630075i | ||||
\(173\) | 8.16818 | − | 9.42658i | 0.621015 | − | 0.716690i | −0.354884 | − | 0.934910i | \(-0.615480\pi\) |
0.975900 | + | 0.218220i | \(0.0700252\pi\) | |||||||
\(174\) | 0.869774 | − | 0.255389i | 0.0659374 | − | 0.0193610i | ||||
\(175\) | −1.63829 | − | 3.58735i | −0.123843 | − | 0.271178i | ||||
\(176\) | −3.42760 | + | 2.20279i | −0.258365 | + | 0.166041i | ||||
\(177\) | 6.37368 | + | 1.87148i | 0.479075 | + | 0.140669i | ||||
\(178\) | −1.97601 | − | 13.7434i | −0.148108 | − | 1.03011i | ||||
\(179\) | 8.38585 | − | 18.3625i | 0.626788 | − | 1.37247i | −0.283689 | − | 0.958916i | \(-0.591558\pi\) |
0.910478 | − | 0.413558i | \(-0.135714\pi\) | |||||||
\(180\) | 0.0722386 | − | 0.502431i | 0.00538435 | − | 0.0374490i | ||||
\(181\) | −7.27198 | − | 4.67342i | −0.540522 | − | 0.347373i | 0.241721 | − | 0.970346i | \(-0.422288\pi\) |
−0.782243 | + | 0.622973i | \(0.785925\pi\) | |||||||
\(182\) | 3.46716 | + | 4.00132i | 0.257003 | + | 0.296597i | ||||
\(183\) | −10.5861 | −0.782547 | ||||||||
\(184\) | 4.54262 | − | 1.53773i | 0.334886 | − | 0.113363i | ||||
\(185\) | −2.01325 | −0.148017 | ||||||||
\(186\) | 10.3286 | + | 11.9198i | 0.757330 | + | 0.874006i | ||||
\(187\) | 7.79928 | + | 5.01229i | 0.570340 | + | 0.366535i | ||||
\(188\) | 1.02748 | − | 7.14626i | 0.0749365 | − | 0.521194i | ||||
\(189\) | −2.29769 | + | 5.03124i | −0.167132 | + | 0.365969i | ||||
\(190\) | −0.487335 | − | 3.38949i | −0.0353550 | − | 0.245899i | ||||
\(191\) | −9.12257 | − | 2.67863i | −0.660086 | − | 0.193819i | −0.0655023 | − | 0.997852i | \(-0.520865\pi\) |
−0.594584 | + | 0.804034i | \(0.702683\pi\) | |||||||
\(192\) | 1.33176 | − | 0.855871i | 0.0961116 | − | 0.0617672i | ||||
\(193\) | 2.34078 | + | 5.12559i | 0.168493 | + | 0.368948i | 0.974976 | − | 0.222309i | \(-0.0713593\pi\) |
−0.806483 | + | 0.591257i | \(0.798632\pi\) | |||||||
\(194\) | −7.03855 | + | 2.06671i | −0.505339 | + | 0.148381i | ||||
\(195\) | 5.64104 | − | 6.51010i | 0.403963 | − | 0.466198i | ||||
\(196\) | −0.654861 | + | 0.755750i | −0.0467758 | + | 0.0539821i | ||||
\(197\) | −1.70473 | + | 0.500554i | −0.121457 | + | 0.0356630i | −0.341896 | − | 0.939738i | \(-0.611069\pi\) |
0.220439 | + | 0.975401i | \(0.429251\pi\) | |||||||
\(198\) | 0.835949 | + | 1.83047i | 0.0594083 | + | 0.130086i | ||||
\(199\) | 1.92183 | − | 1.23509i | 0.136235 | − | 0.0875530i | −0.470748 | − | 0.882268i | \(-0.656016\pi\) |
0.606983 | + | 0.794715i | \(0.292380\pi\) | |||||||
\(200\) | 3.78399 | + | 1.11108i | 0.267569 | + | 0.0785652i | ||||
\(201\) | −0.710905 | − | 4.94445i | −0.0501433 | − | 0.348755i | ||||
\(202\) | −2.74912 | + | 6.01973i | −0.193427 | + | 0.423547i | ||||
\(203\) | 0.0814920 | − | 0.566789i | 0.00571962 | − | 0.0397808i | ||||
\(204\) | −3.03034 | − | 1.94748i | −0.212166 | − | 0.136351i | ||||
\(205\) | −3.99739 | − | 4.61324i | −0.279190 | − | 0.322202i | ||||
\(206\) | 2.02571 | 0.141138 | ||||||||
\(207\) | −0.432451 | − | 2.32882i | −0.0300574 | − | 0.161864i | ||||
\(208\) | −5.29450 | −0.367108 | ||||||||
\(209\) | 8.89005 | + | 10.2597i | 0.614938 | + | 0.709676i | ||||
\(210\) | 1.36871 | + | 0.879617i | 0.0944500 | + | 0.0606993i | ||||
\(211\) | −3.22643 | + | 22.4403i | −0.222117 | + | 1.54485i | 0.507894 | + | 0.861419i | \(0.330424\pi\) |
−0.730011 | + | 0.683435i | \(0.760485\pi\) | |||||||
\(212\) | 3.09832 | − | 6.78437i | 0.212793 | − | 0.465952i | ||||
\(213\) | 2.26028 | + | 15.7206i | 0.154872 | + | 1.07716i | ||||
\(214\) | 19.2910 | + | 5.66434i | 1.31870 | + | 0.387206i | ||||
\(215\) | −9.45346 | + | 6.07537i | −0.644721 | + | 0.414337i | ||||
\(216\) | −2.29769 | − | 5.03124i | −0.156338 | − | 0.342333i | ||||
\(217\) | 9.55950 | − | 2.80692i | 0.648941 | − | 0.190546i | ||||
\(218\) | −6.58908 | + | 7.60421i | −0.446269 | + | 0.515022i | ||||
\(219\) | −9.52586 | + | 10.9934i | −0.643698 | + | 0.742867i | ||||
\(220\) | 4.01782 | − | 1.17974i | 0.270881 | − | 0.0795379i | ||||
\(221\) | 5.00463 | + | 10.9586i | 0.336648 | + | 0.737156i | ||||
\(222\) | −2.60879 | + | 1.67657i | −0.175091 | + | 0.112524i | ||||
\(223\) | −0.277502 | − | 0.0814819i | −0.0185829 | − | 0.00545643i | 0.272428 | − | 0.962176i | \(-0.412173\pi\) |
−0.291011 | + | 0.956720i | \(0.593992\pi\) | |||||||
\(224\) | −0.142315 | − | 0.989821i | −0.00950881 | − | 0.0661352i | ||||
\(225\) | 0.809142 | − | 1.77177i | 0.0539428 | − | 0.118118i | ||||
\(226\) | −0.270502 | + | 1.88138i | −0.0179935 | + | 0.125148i | ||||
\(227\) | −11.2986 | − | 7.26116i | −0.749913 | − | 0.481940i | 0.109012 | − | 0.994040i | \(-0.465231\pi\) |
−0.858926 | + | 0.512100i | \(0.828868\pi\) | |||||||
\(228\) | −3.45414 | − | 3.98630i | −0.228756 | − | 0.263999i | ||||
\(229\) | −0.842339 | −0.0556633 | −0.0278317 | − | 0.999613i | \(-0.508860\pi\) | ||||
−0.0278317 | + | 0.999613i | \(0.508860\pi\) | |||||||
\(230\) | −4.92479 | + | 0.201064i | −0.324731 | + | 0.0132577i | ||||
\(231\) | −6.45005 | −0.424382 | ||||||||
\(232\) | 0.374985 | + | 0.432756i | 0.0246190 | + | 0.0284118i | ||||
\(233\) | −19.9137 | − | 12.7977i | −1.30459 | − | 0.838408i | −0.310884 | − | 0.950448i | \(-0.600625\pi\) |
−0.993704 | + | 0.112040i | \(0.964262\pi\) | |||||||
\(234\) | −0.372143 | + | 2.58831i | −0.0243277 | + | 0.169203i | ||||
\(235\) | −3.08240 | + | 6.74952i | −0.201074 | + | 0.440290i | ||||
\(236\) | 0.597172 | + | 4.15342i | 0.0388726 | + | 0.270365i | ||||
\(237\) | −17.7678 | − | 5.21708i | −1.15414 | − | 0.338886i | ||||
\(238\) | −1.91422 | + | 1.23019i | −0.124080 | + | 0.0797416i | ||||
\(239\) | 3.42132 | + | 7.49165i | 0.221307 | + | 0.484595i | 0.987422 | − | 0.158109i | \(-0.0505398\pi\) |
−0.766115 | + | 0.642704i | \(0.777813\pi\) | |||||||
\(240\) | −1.56109 | + | 0.458376i | −0.100768 | + | 0.0295880i | ||||
\(241\) | 15.6524 | − | 18.0639i | 1.00826 | − | 1.16360i | 0.0217726 | − | 0.999763i | \(-0.493069\pi\) |
0.986488 | − | 0.163832i | \(-0.0523855\pi\) | |||||||
\(242\) | −3.66768 | + | 4.23273i | −0.235768 | + | 0.272090i | ||||
\(243\) | −4.87170 | + | 1.43046i | −0.312520 | + | 0.0917641i | ||||
\(244\) | −2.77791 | − | 6.08278i | −0.177837 | − | 0.389410i | ||||
\(245\) | 0.864594 | − | 0.555641i | 0.0552369 | − | 0.0354986i | ||||
\(246\) | −9.02161 | − | 2.64898i | −0.575197 | − | 0.168893i | ||||
\(247\) | 2.51054 | + | 17.4612i | 0.159742 | + | 1.11103i | ||||
\(248\) | −4.13881 | + | 9.06273i | −0.262815 | + | 0.575484i | ||||
\(249\) | −3.37027 | + | 23.4408i | −0.213582 | + | 1.48550i | ||||
\(250\) | −7.73270 | − | 4.96951i | −0.489059 | − | 0.314299i | ||||
\(251\) | −0.509182 | − | 0.587628i | −0.0321393 | − | 0.0370907i | 0.739452 | − | 0.673209i | \(-0.235085\pi\) |
−0.771592 | + | 0.636118i | \(0.780539\pi\) | |||||||
\(252\) | −0.493895 | −0.0311124 | ||||||||
\(253\) | 15.9936 | − | 11.2260i | 1.00551 | − | 0.705770i | ||||
\(254\) | 8.29554 | 0.520509 | ||||||||
\(255\) | 2.42437 | + | 2.79787i | 0.151820 | + | 0.175209i | ||||
\(256\) | 0.841254 | + | 0.540641i | 0.0525783 | + | 0.0337901i | ||||
\(257\) | 0.182604 | − | 1.27004i | 0.0113905 | − | 0.0792228i | −0.983333 | − | 0.181812i | \(-0.941804\pi\) |
0.994724 | + | 0.102589i | \(0.0327128\pi\) | |||||||
\(258\) | −7.19053 | + | 15.7451i | −0.447663 | + | 0.980245i | ||||
\(259\) | 0.278781 | + | 1.93896i | 0.0173226 | + | 0.120481i | ||||
\(260\) | 5.22098 | + | 1.53302i | 0.323791 | + | 0.0950738i | ||||
\(261\) | 0.237917 | − | 0.152900i | 0.0147267 | − | 0.00946428i | ||||
\(262\) | −6.93858 | − | 15.1934i | −0.428667 | − | 0.938649i | ||||
\(263\) | −24.4335 | + | 7.17432i | −1.50663 | + | 0.442387i | −0.927806 | − | 0.373063i | \(-0.878307\pi\) |
−0.578827 | + | 0.815450i | \(0.696489\pi\) | |||||||
\(264\) | 4.22388 | − | 4.87462i | 0.259962 | − | 0.300012i | ||||
\(265\) | −5.01970 | + | 5.79304i | −0.308358 | + | 0.355864i | ||||
\(266\) | −3.19693 | + | 0.938705i | −0.196017 | + | 0.0575557i | ||||
\(267\) | 9.13104 | + | 19.9942i | 0.558811 | + | 1.22362i | ||||
\(268\) | 2.65453 | − | 1.70597i | 0.162151 | − | 0.104208i | ||||
\(269\) | 15.7739 | + | 4.63164i | 0.961753 | + | 0.282396i | 0.724672 | − | 0.689094i | \(-0.241991\pi\) |
0.237081 | + | 0.971490i | \(0.423809\pi\) | |||||||
\(270\) | 0.808993 | + | 5.62667i | 0.0492338 | + | 0.342428i | ||||
\(271\) | −0.0478999 | + | 0.104886i | −0.00290971 | + | 0.00637137i | −0.911081 | − | 0.412227i | \(-0.864751\pi\) |
0.908172 | + | 0.418598i | \(0.137478\pi\) | |||||||
\(272\) | 0.323828 | − | 2.25227i | 0.0196350 | − | 0.136564i | ||||
\(273\) | −7.05102 | − | 4.53141i | −0.426747 | − | 0.274254i | ||||
\(274\) | 4.08125 | + | 4.71001i | 0.246557 | + | 0.284542i | ||||
\(275\) | 16.0684 | 0.968959 | ||||||||
\(276\) | −6.21415 | + | 4.36174i | −0.374048 | + | 0.262546i | ||||
\(277\) | −29.6543 | −1.78175 | −0.890877 | − | 0.454244i | \(-0.849909\pi\) | ||||
−0.890877 | + | 0.454244i | \(0.849909\pi\) | |||||||
\(278\) | −3.58260 | − | 4.13455i | −0.214870 | − | 0.247974i | ||||
\(279\) | 4.13956 | + | 2.66033i | 0.247829 | + | 0.159270i | ||||
\(280\) | −0.146263 | + | 1.01728i | −0.00874090 | + | 0.0607943i | ||||
\(281\) | 8.99448 | − | 19.6952i | 0.536566 | − | 1.17492i | −0.426212 | − | 0.904623i | \(-0.640152\pi\) |
0.962778 | − | 0.270292i | \(-0.0871203\pi\) | |||||||
\(282\) | 1.62657 | + | 11.3130i | 0.0968606 | + | 0.673680i | ||||
\(283\) | −11.2572 | − | 3.30542i | −0.669174 | − | 0.196487i | −0.0705386 | − | 0.997509i | \(-0.522472\pi\) |
−0.598635 | + | 0.801022i | \(0.704290\pi\) | |||||||
\(284\) | −8.43994 | + | 5.42402i | −0.500818 | + | 0.321856i | ||||
\(285\) | 2.25195 | + | 4.93108i | 0.133394 | + | 0.292092i | ||||
\(286\) | −20.6981 | + | 6.07751i | −1.22390 | + | 0.359371i | ||||
\(287\) | −3.88948 | + | 4.48870i | −0.229589 | + | 0.264960i | ||||
\(288\) | 0.323432 | − | 0.373261i | 0.0190584 | − | 0.0219946i | ||||
\(289\) | 11.3435 | − | 3.33075i | 0.667265 | − | 0.195927i | ||||
\(290\) | −0.244474 | − | 0.535323i | −0.0143560 | − | 0.0314352i | ||||
\(291\) | 9.76940 | − | 6.27841i | 0.572693 | − | 0.368047i | ||||
\(292\) | −8.81652 | − | 2.58876i | −0.515948 | − | 0.151496i | ||||
\(293\) | 2.61100 | + | 18.1599i | 0.152536 | + | 1.06091i | 0.911949 | + | 0.410303i | \(0.134577\pi\) |
−0.759413 | + | 0.650609i | \(0.774514\pi\) | |||||||
\(294\) | 0.657630 | − | 1.44001i | 0.0383538 | − | 0.0839831i | ||||
\(295\) | 0.613740 | − | 4.26866i | 0.0357333 | − | 0.248531i | ||||
\(296\) | −1.64793 | − | 1.05906i | −0.0957842 | − | 0.0615568i | ||||
\(297\) | −14.7578 | − | 17.0314i | −0.856335 | − | 0.988263i | ||||
\(298\) | −12.0293 | −0.696839 | ||||||||
\(299\) | 25.3704 | − | 1.03579i | 1.46721 | − | 0.0599015i | ||||
\(300\) | −6.24321 | −0.360452 | ||||||||
\(301\) | 7.16024 | + | 8.26336i | 0.412710 | + | 0.476292i | ||||
\(302\) | 10.4123 | + | 6.69157i | 0.599160 | + | 0.385056i | ||||
\(303\) | 1.49094 | − | 10.3697i | 0.0856524 | − | 0.595726i | ||||
\(304\) | 1.38412 | − | 3.03080i | 0.0793848 | − | 0.173828i | ||||
\(305\) | 0.978073 | + | 6.80265i | 0.0560043 | + | 0.389519i | ||||
\(306\) | −1.07830 | − | 0.316618i | −0.0616424 | − | 0.0180999i | ||||
\(307\) | 20.6845 | − | 13.2931i | 1.18052 | − | 0.758677i | 0.205042 | − | 0.978753i | \(-0.434267\pi\) |
0.975483 | + | 0.220076i | \(0.0706305\pi\) | |||||||
\(308\) | −1.69257 | − | 3.70620i | −0.0964429 | − | 0.211180i | ||||
\(309\) | −3.07694 | + | 0.903470i | −0.175041 | + | 0.0513966i | ||||
\(310\) | 6.70544 | − | 7.73849i | 0.380843 | − | 0.439517i | ||||
\(311\) | −2.91401 | + | 3.36295i | −0.165238 | + | 0.190695i | −0.832330 | − | 0.554280i | \(-0.812994\pi\) |
0.667092 | + | 0.744976i | \(0.267539\pi\) | |||||||
\(312\) | 8.04205 | − | 2.36136i | 0.455291 | − | 0.133686i | ||||
\(313\) | 3.07203 | + | 6.72681i | 0.173641 | + | 0.380222i | 0.976365 | − | 0.216130i | \(-0.0693436\pi\) |
−0.802723 | + | 0.596352i | \(0.796616\pi\) | |||||||
\(314\) | 6.66798 | − | 4.28525i | 0.376296 | − | 0.241831i | ||||
\(315\) | 0.487036 | + | 0.143007i | 0.0274414 | + | 0.00805752i | ||||
\(316\) | −1.66472 | − | 11.5784i | −0.0936478 | − | 0.651335i | ||||
\(317\) | 5.26594 | − | 11.5308i | 0.295764 | − | 0.647634i | −0.702161 | − | 0.712019i | \(-0.747781\pi\) |
0.997925 | + | 0.0643847i | \(0.0205085\pi\) | |||||||
\(318\) | −1.68033 | + | 11.6869i | −0.0942280 | + | 0.655370i | ||||
\(319\) | 1.96271 | + | 1.26135i | 0.109890 | + | 0.0706223i | ||||
\(320\) | −0.673030 | − | 0.776717i | −0.0376235 | − | 0.0434198i | ||||
\(321\) | −31.8282 | −1.77648 | ||||||||
\(322\) | 0.875594 | + | 4.71522i | 0.0487950 | + | 0.262769i | ||||
\(323\) | −7.58152 | −0.421847 | ||||||||
\(324\) | 4.76371 | + | 5.49761i | 0.264650 | + | 0.305423i | ||||
\(325\) | 17.5655 | + | 11.2887i | 0.974358 | + | 0.626182i | ||||
\(326\) | 2.90625 | − | 20.2134i | 0.160962 | − | 1.11952i | ||||
\(327\) | 6.61695 | − | 14.4891i | 0.365918 | − | 0.801249i | ||||
\(328\) | −0.845265 | − | 5.87895i | −0.0466719 | − | 0.324610i | ||||
\(329\) | 6.92729 | + | 2.03404i | 0.381914 | + | 0.112140i | ||||
\(330\) | −5.57667 | + | 3.58391i | −0.306986 | + | 0.197288i | ||||
\(331\) | −0.215571 | − | 0.472034i | −0.0118488 | − | 0.0259453i | 0.903615 | − | 0.428345i | \(-0.140903\pi\) |
−0.915464 | + | 0.402400i | \(0.868176\pi\) | |||||||
\(332\) | −14.3535 | + | 4.21456i | −0.787749 | + | 0.231304i | ||||
\(333\) | −0.633572 | + | 0.731181i | −0.0347195 | + | 0.0400685i | ||||
\(334\) | 4.91370 | − | 5.67071i | 0.268866 | − | 0.310287i | ||||
\(335\) | −3.11163 | + | 0.913658i | −0.170007 | + | 0.0499185i | ||||
\(336\) | 0.657630 | + | 1.44001i | 0.0358767 | + | 0.0785590i | ||||
\(337\) | −5.03765 | + | 3.23750i | −0.274418 | + | 0.176358i | −0.670611 | − | 0.741810i | \(-0.733968\pi\) |
0.396192 | + | 0.918168i | \(0.370331\pi\) | |||||||
\(338\) | −14.4229 | − | 4.23493i | −0.784500 | − | 0.230350i | ||||
\(339\) | −0.428223 | − | 2.97836i | −0.0232579 | − | 0.161762i | ||||
\(340\) | −0.971475 | + | 2.12723i | −0.0526857 | + | 0.115365i | ||||
\(341\) | −5.77706 | + | 40.1803i | −0.312845 | + | 2.17589i | ||||
\(342\) | −1.38437 | − | 0.889682i | −0.0748583 | − | 0.0481085i | ||||
\(343\) | −0.654861 | − | 0.755750i | −0.0353592 | − | 0.0408066i | ||||
\(344\) | −10.9340 | −0.589522 | ||||||||
\(345\) | 7.39080 | − | 2.50187i | 0.397907 | − | 0.134696i | ||||
\(346\) | −12.4732 | −0.670561 | ||||||||
\(347\) | −14.8409 | − | 17.1274i | −0.796703 | − | 0.919445i | 0.201492 | − | 0.979490i | \(-0.435421\pi\) |
−0.998196 | + | 0.0600454i | \(0.980875\pi\) | |||||||
\(348\) | −0.762591 | − | 0.490087i | −0.0408791 | − | 0.0262714i | ||||
\(349\) | −3.27218 | + | 22.7585i | −0.175156 | + | 1.21823i | 0.692629 | + | 0.721294i | \(0.256452\pi\) |
−0.867785 | + | 0.496940i | \(0.834457\pi\) | |||||||
\(350\) | −1.63829 | + | 3.58735i | −0.0875702 | + | 0.191752i | ||||
\(351\) | −4.16759 | − | 28.9862i | −0.222449 | − | 1.54717i | ||||
\(352\) | 3.90935 | + | 1.14789i | 0.208369 | + | 0.0611828i | ||||
\(353\) | 13.0806 | − | 8.40636i | 0.696208 | − | 0.447425i | −0.144080 | − | 0.989566i | \(-0.546022\pi\) |
0.840288 | + | 0.542141i | \(0.182386\pi\) | |||||||
\(354\) | −2.75950 | − | 6.04247i | −0.146666 | − | 0.321154i | ||||
\(355\) | 9.89326 | − | 2.90492i | 0.525079 | − | 0.154177i | ||||
\(356\) | −9.09258 | + | 10.4934i | −0.481906 | + | 0.556149i | ||||
\(357\) | 2.35892 | − | 2.72234i | 0.124847 | − | 0.144081i | ||||
\(358\) | −19.3690 | + | 5.68725i | −1.02368 | + | 0.300580i | ||||
\(359\) | −12.8602 | − | 28.1599i | −0.678736 | − | 1.48623i | −0.863977 | − | 0.503532i | \(-0.832034\pi\) |
0.185240 | − | 0.982693i | \(-0.440694\pi\) | |||||||
\(360\) | −0.427018 | + | 0.274428i | −0.0225058 | + | 0.0144636i | ||||
\(361\) | 7.57850 | + | 2.22525i | 0.398869 | + | 0.117118i | ||||
\(362\) | 1.23020 | + | 8.55624i | 0.0646579 | + | 0.449706i | ||||
\(363\) | 3.68320 | − | 8.06507i | 0.193318 | − | 0.423307i | ||||
\(364\) | 0.753486 | − | 5.24061i | 0.0394934 | − | 0.274683i | ||||
\(365\) | 7.94452 | + | 5.10563i | 0.415835 | + | 0.267241i | ||||
\(366\) | 6.93242 | + | 8.00044i | 0.362363 | + | 0.418189i | ||||
\(367\) | −8.23517 | −0.429873 | −0.214936 | − | 0.976628i | \(-0.568954\pi\) | ||||
−0.214936 | + | 0.976628i | \(0.568954\pi\) | |||||||
\(368\) | −4.13692 | − | 2.42608i | −0.215652 | − | 0.126468i | ||||
\(369\) | −2.93344 | −0.152709 | ||||||||
\(370\) | 1.31840 | + | 1.52151i | 0.0685403 | + | 0.0790997i | ||||
\(371\) | 6.27438 | + | 4.03230i | 0.325749 | + | 0.209346i | ||||
\(372\) | 2.24462 | − | 15.6117i | 0.116378 | − | 0.809428i | ||||
\(373\) | 6.55146 | − | 14.3457i | 0.339222 | − | 0.742793i | −0.660747 | − | 0.750608i | \(-0.729761\pi\) |
0.999969 | + | 0.00781576i | \(0.00248786\pi\) | |||||||
\(374\) | −1.31940 | − | 9.17666i | −0.0682248 | − | 0.474514i | ||||
\(375\) | 13.9619 | + | 4.09960i | 0.720992 | + | 0.211702i | ||||
\(376\) | −6.07364 | + | 3.90329i | −0.313224 | + | 0.201297i | ||||
\(377\) | 1.25942 | + | 2.75776i | 0.0648637 | + | 0.142032i | ||||
\(378\) | 5.30703 | − | 1.55828i | 0.272964 | − | 0.0801495i | ||||
\(379\) | 12.1377 | − | 14.0077i | 0.623472 | − | 0.719525i | −0.352891 | − | 0.935665i | \(-0.614801\pi\) |
0.976362 | + | 0.216140i | \(0.0693467\pi\) | |||||||
\(380\) | −2.24247 | + | 2.58794i | −0.115036 | + | 0.132759i | ||||
\(381\) | −12.6005 | + | 3.69983i | −0.645541 | + | 0.189548i | ||||
\(382\) | 3.94964 | + | 8.64851i | 0.202081 | + | 0.442496i | ||||
\(383\) | 10.9665 | − | 7.04775i | 0.560362 | − | 0.360123i | −0.229594 | − | 0.973287i | \(-0.573740\pi\) |
0.789956 | + | 0.613164i | \(0.210103\pi\) | |||||||
\(384\) | −1.51894 | − | 0.446002i | −0.0775132 | − | 0.0227599i | ||||
\(385\) | 0.595935 | + | 4.14482i | 0.0303716 | + | 0.211239i | ||||
\(386\) | 2.34078 | − | 5.12559i | 0.119142 | − | 0.260885i | ||||
\(387\) | −0.768534 | + | 5.34527i | −0.0390668 | + | 0.271716i | ||||
\(388\) | 6.17118 | + | 3.96598i | 0.313294 | + | 0.201342i | ||||
\(389\) | −12.1028 | − | 13.9674i | −0.613638 | − | 0.708176i | 0.360848 | − | 0.932625i | \(-0.382487\pi\) |
−0.974486 | + | 0.224448i | \(0.927942\pi\) | |||||||
\(390\) | −8.61410 | −0.436192 | ||||||||
\(391\) | −1.11111 | + | 10.8559i | −0.0561911 | + | 0.549006i | ||||
\(392\) | 1.00000 | 0.0505076 | ||||||||
\(393\) | 17.3156 | + | 19.9832i | 0.873455 | + | 1.00802i | ||||
\(394\) | 1.49465 | + | 0.960556i | 0.0752996 | + | 0.0483921i | ||||
\(395\) | −1.71091 | + | 11.8996i | −0.0860851 | + | 0.598735i | ||||
\(396\) | 0.835949 | − | 1.83047i | 0.0420080 | − | 0.0919847i | ||||
\(397\) | −1.48434 | − | 10.3238i | −0.0744967 | − | 0.518136i | −0.992565 | − | 0.121714i | \(-0.961161\pi\) |
0.918068 | − | 0.396422i | \(-0.129748\pi\) | |||||||
\(398\) | −2.19195 | − | 0.643614i | −0.109872 | − | 0.0322615i | ||||
\(399\) | 4.43730 | − | 2.85168i | 0.222143 | − | 0.142762i | ||||
\(400\) | −1.63829 | − | 3.58735i | −0.0819145 | − | 0.179368i | ||||
\(401\) | −6.90107 | + | 2.02634i | −0.344623 | + | 0.101190i | −0.449464 | − | 0.893299i | \(-0.648385\pi\) |
0.104841 | + | 0.994489i | \(0.466567\pi\) | |||||||
\(402\) | −3.27122 | + | 3.77519i | −0.163154 | + | 0.188289i | ||||
\(403\) | −34.5436 | + | 39.8654i | −1.72074 | + | 1.98584i | ||||
\(404\) | 6.34970 | − | 1.86444i | 0.315909 | − | 0.0927593i | ||||
\(405\) | −3.10573 | − | 6.80060i | −0.154325 | − | 0.337924i | ||||
\(406\) | −0.481717 | + | 0.309581i | −0.0239072 | + | 0.0153642i | ||||
\(407\) | −7.65805 | − | 2.24861i | −0.379595 | − | 0.111459i | ||||
\(408\) | 0.512642 | + | 3.56550i | 0.0253796 | + | 0.176519i | ||||
\(409\) | −16.0597 | + | 35.1657i | −0.794099 | + | 1.73883i | −0.129572 | + | 0.991570i | \(0.541360\pi\) |
−0.664527 | + | 0.747264i | \(0.731367\pi\) | |||||||
\(410\) | −0.868716 | + | 6.04205i | −0.0429028 | + | 0.298396i | ||||
\(411\) | −8.29986 | − | 5.33400i | −0.409402 | − | 0.263107i | ||||
\(412\) | −1.32656 | − | 1.53093i | −0.0653548 | − | 0.0754235i | ||||
\(413\) | −4.19613 | −0.206478 | ||||||||
\(414\) | −1.47681 | + | 1.85188i | −0.0725813 | + | 0.0910149i | ||||
\(415\) | 15.3745 | 0.754703 | ||||||||
\(416\) | 3.46716 | + | 4.00132i | 0.169992 | + | 0.196181i | ||||
\(417\) | 7.28579 | + | 4.68229i | 0.356786 | + | 0.229293i | ||||
\(418\) | 1.93199 | − | 13.4373i | 0.0944968 | − | 0.657240i | ||||
\(419\) | 11.0364 | − | 24.1663i | 0.539162 | − | 1.18060i | −0.422501 | − | 0.906363i | \(-0.638848\pi\) |
0.961662 | − | 0.274237i | \(-0.0884252\pi\) | |||||||
\(420\) | −0.231545 | − | 1.61043i | −0.0112982 | − | 0.0785809i | ||||
\(421\) | 26.7324 | + | 7.84935i | 1.30286 | + | 0.382554i | 0.858278 | − | 0.513185i | \(-0.171535\pi\) |
0.444581 | + | 0.895739i | \(0.353353\pi\) | |||||||
\(422\) | 19.0721 | − | 12.2569i | 0.928416 | − | 0.596657i | ||||
\(423\) | 1.48128 | + | 3.24356i | 0.0720225 | + | 0.157707i | ||||
\(424\) | −7.15625 | + | 2.10126i | −0.347538 | + | 0.102046i | ||||
\(425\) | −5.87654 | + | 6.78189i | −0.285054 | + | 0.328970i | ||||
\(426\) | 10.4007 | − | 12.0030i | 0.503914 | − | 0.581547i | ||||
\(427\) | 6.41620 | − | 1.88397i | 0.310502 | − | 0.0911715i | ||||
\(428\) | −8.35208 | − | 18.2885i | −0.403713 | − | 0.884008i | ||||
\(429\) | 28.7286 | − | 18.4628i | 1.38703 | − | 0.891391i | ||||
\(430\) | 10.7822 | + | 3.16593i | 0.519962 | + | 0.152675i | ||||
\(431\) | −1.30395 | − | 9.06916i | −0.0628090 | − | 0.436846i | −0.996826 | − | 0.0796165i | \(-0.974630\pi\) |
0.934017 | − | 0.357230i | \(-0.116279\pi\) | |||||||
\(432\) | −2.29769 | + | 5.03124i | −0.110548 | + | 0.242066i | ||||
\(433\) | 0.268360 | − | 1.86648i | 0.0128966 | − | 0.0896975i | −0.982357 | − | 0.187017i | \(-0.940118\pi\) |
0.995253 | + | 0.0973199i | \(0.0310270\pi\) | |||||||
\(434\) | −8.38147 | − | 5.38644i | −0.402323 | − | 0.258558i | ||||
\(435\) | 0.610097 | + | 0.704089i | 0.0292519 | + | 0.0337585i | ||||
\(436\) | 10.0618 | 0.481873 | ||||||||
\(437\) | −6.03955 | + | 14.7939i | −0.288911 | + | 0.707688i | ||||
\(438\) | 14.5464 | 0.695053 | ||||||||
\(439\) | 2.65460 | + | 3.06357i | 0.126697 | + | 0.146216i | 0.815554 | − | 0.578681i | \(-0.196433\pi\) |
−0.688857 | + | 0.724898i | \(0.741887\pi\) | |||||||
\(440\) | −3.52270 | − | 2.26390i | −0.167938 | − | 0.107927i | ||||
\(441\) | 0.0702885 | − | 0.488867i | 0.00334707 | − | 0.0232794i | ||||
\(442\) | 5.00463 | − | 10.9586i | 0.238046 | − | 0.521248i | ||||
\(443\) | 1.32508 | + | 9.21612i | 0.0629563 | + | 0.437871i | 0.996783 | + | 0.0801455i | \(0.0255385\pi\) |
−0.933827 | + | 0.357725i | \(0.883552\pi\) | |||||||
\(444\) | 2.97546 | + | 0.873674i | 0.141209 | + | 0.0414627i | ||||
\(445\) | 12.0047 | − | 7.71494i | 0.569076 | − | 0.365723i | ||||
\(446\) | 0.120145 | + | 0.263081i | 0.00568904 | + | 0.0124573i | ||||
\(447\) | 18.2718 | − | 5.36509i | 0.864227 | − | 0.253760i | ||||
\(448\) | −0.654861 | + | 0.755750i | −0.0309393 | + | 0.0357058i | ||||
\(449\) | −4.72494 | + | 5.45287i | −0.222984 | + | 0.257337i | −0.856208 | − | 0.516632i | \(-0.827186\pi\) |
0.633224 | + | 0.773969i | \(0.281731\pi\) | |||||||
\(450\) | −1.86889 | + | 0.548756i | −0.0881005 | + | 0.0258686i | ||||
\(451\) | −10.0528 | − | 22.0126i | −0.473369 | − | 1.03653i | ||||
\(452\) | 1.59899 | − | 1.02761i | 0.0752104 | − | 0.0483348i | ||||
\(453\) | −18.8001 | − | 5.52021i | −0.883307 | − | 0.259362i | ||||
\(454\) | 1.91138 | + | 13.2939i | 0.0897056 | + | 0.623916i | ||||
\(455\) | −2.26044 | + | 4.94967i | −0.105971 | + | 0.232044i | ||||
\(456\) | −0.750657 | + | 5.22094i | −0.0351528 | + | 0.244493i | ||||
\(457\) | 4.43608 | + | 2.85090i | 0.207511 | + | 0.133359i | 0.640269 | − | 0.768151i | \(-0.278823\pi\) |
−0.432758 | + | 0.901510i | \(0.642459\pi\) | |||||||
\(458\) | 0.551615 | + | 0.636597i | 0.0257753 | + | 0.0297462i | ||||
\(459\) | 12.5856 | 0.587446 | ||||||||
\(460\) | 3.37700 | + | 3.59024i | 0.157454 | + | 0.167396i | ||||
\(461\) | −17.6258 | −0.820916 | −0.410458 | − | 0.911879i | \(-0.634631\pi\) | ||||
−0.410458 | + | 0.911879i | \(0.634631\pi\) | |||||||
\(462\) | 4.22388 | + | 4.87462i | 0.196513 | + | 0.226788i | ||||
\(463\) | 0.654465 | + | 0.420599i | 0.0304156 | + | 0.0195469i | 0.555760 | − | 0.831343i | \(-0.312427\pi\) |
−0.525345 | + | 0.850890i | \(0.676064\pi\) | |||||||
\(464\) | 0.0814920 | − | 0.566789i | 0.00378317 | − | 0.0263125i | ||||
\(465\) | −6.73380 | + | 14.7450i | −0.312272 | + | 0.683781i | ||||
\(466\) | 3.36880 | + | 23.4305i | 0.156056 | + | 1.08540i | ||||
\(467\) | 1.56171 | + | 0.458559i | 0.0722673 | + | 0.0212196i | 0.317666 | − | 0.948203i | \(-0.397101\pi\) |
−0.245399 | + | 0.969422i | \(0.578919\pi\) | |||||||
\(468\) | 2.19982 | − | 1.41374i | 0.101687 | − | 0.0653499i | ||||
\(469\) | 1.31082 | + | 2.87030i | 0.0605281 | + | 0.132538i | ||||
\(470\) | 7.11949 | − | 2.09047i | 0.328398 | − | 0.0964262i | ||||
\(471\) | −8.21705 | + | 9.48298i | −0.378622 | + | 0.436953i | ||||
\(472\) | 2.74788 | − | 3.17122i | 0.126482 | − | 0.145967i | ||||
\(473\) | −42.7449 | + | 12.5510i | −1.96541 | + | 0.577097i | ||||
\(474\) | 7.69259 | + | 16.8444i | 0.353333 | + | 0.773690i | ||||
\(475\) | −11.0542 | + | 7.10410i | −0.507201 | + | 0.325959i | ||||
\(476\) | 2.18326 | + | 0.641064i | 0.100070 | + | 0.0293831i | ||||
\(477\) | 0.524238 | + | 3.64615i | 0.0240032 | + | 0.166946i | ||||
\(478\) | 3.42132 | − | 7.49165i | 0.156488 | − | 0.342660i | ||||
\(479\) | 4.37139 | − | 30.4037i | 0.199734 | − | 1.38918i | −0.605322 | − | 0.795981i | \(-0.706955\pi\) |
0.805056 | − | 0.593199i | \(-0.202135\pi\) | |||||||
\(480\) | 1.36871 | + | 0.879617i | 0.0624728 | + | 0.0401488i | ||||
\(481\) | −6.79183 | − | 7.83819i | −0.309681 | − | 0.357391i | ||||
\(482\) | −23.9019 | −1.08870 | ||||||||
\(483\) | −3.43298 | − | 6.77164i | −0.156206 | − | 0.308120i | ||||
\(484\) | 5.60071 | 0.254578 | ||||||||
\(485\) | −4.93714 | − | 5.69777i | −0.224184 | − | 0.258722i | ||||
\(486\) | 4.27136 | + | 2.74504i | 0.193753 | + | 0.124517i | ||||
\(487\) | 5.94270 | − | 41.3324i | 0.269290 | − | 1.87295i | −0.185918 | − | 0.982565i | \(-0.559526\pi\) |
0.455208 | − | 0.890385i | \(-0.349565\pi\) | |||||||
\(488\) | −2.77791 | + | 6.08278i | −0.125750 | + | 0.275354i | ||||
\(489\) | 4.60080 | + | 31.9992i | 0.208055 | + | 1.44706i | ||||
\(490\) | −0.986114 | − | 0.289549i | −0.0445481 | − | 0.0130805i | ||||
\(491\) | 18.9483 | − | 12.1774i | 0.855126 | − | 0.549556i | −0.0380436 | − | 0.999276i | \(-0.512113\pi\) |
0.893170 | + | 0.449720i | \(0.148476\pi\) | |||||||
\(492\) | 3.90593 | + | 8.55279i | 0.176093 | + | 0.385590i | ||||
\(493\) | −1.25018 | + | 0.367085i | −0.0563051 | + | 0.0165327i | ||||
\(494\) | 11.5522 | − | 13.3320i | 0.519760 | − | 0.599835i | ||||
\(495\) | −1.35435 | + | 1.56301i | −0.0608736 | + | 0.0702519i | ||||
\(496\) | 9.55950 | − | 2.80692i | 0.429234 | − | 0.126034i | ||||
\(497\) | −4.16768 | − | 9.12595i | −0.186946 | − | 0.409355i | ||||
\(498\) | 19.9224 | − | 12.8034i | 0.892744 | − | 0.573732i | ||||
\(499\) | 36.6242 | + | 10.7538i | 1.63952 | + | 0.481408i | 0.966169 | − | 0.257911i | \(-0.0830340\pi\) |
0.673356 | + | 0.739319i | \(0.264852\pi\) | |||||||
\(500\) | 1.30814 | + | 9.09832i | 0.0585018 | + | 0.406889i | ||||
\(501\) | −4.93448 | + | 10.8050i | −0.220456 | + | 0.482732i | ||||
\(502\) | −0.110656 | + | 0.769628i | −0.00493881 | + | 0.0343502i | ||||
\(503\) | −10.8328 | − | 6.96183i | −0.483012 | − | 0.310413i | 0.276378 | − | 0.961049i | \(-0.410866\pi\) |
−0.759390 | + | 0.650636i | \(0.774502\pi\) | |||||||
\(504\) | 0.323432 | + | 0.373261i | 0.0144068 | + | 0.0166263i | ||||
\(505\) | −6.80137 | −0.302657 | ||||||||
\(506\) | −18.9576 | − | 4.73570i | −0.842767 | − | 0.210527i | ||||
\(507\) | 23.7963 | 1.05683 | ||||||||
\(508\) | −5.43243 | − | 6.26935i | −0.241025 | − | 0.278158i | ||||
\(509\) | 8.31628 | + | 5.34455i | 0.368613 | + | 0.236893i | 0.711813 | − | 0.702369i | \(-0.247875\pi\) |
−0.343200 | + | 0.939262i | \(0.611511\pi\) | |||||||
\(510\) | 0.526865 | − | 3.66443i | 0.0233300 | − | 0.162264i | ||||
\(511\) | 3.81714 | − | 8.35836i | 0.168860 | − | 0.369752i | ||||
\(512\) | −0.142315 | − | 0.989821i | −0.00628949 | − | 0.0437443i | ||||
\(513\) | 17.6825 | + | 5.19204i | 0.780701 | + | 0.229234i | ||||
\(514\) | −1.07941 | + | 0.693695i | −0.0476108 | + | 0.0305976i | ||||
\(515\) | 0.864857 | + | 1.89377i | 0.0381102 | + | 0.0834496i | ||||
\(516\) | 16.6081 | − | 4.87658i | 0.731132 | − | 0.214680i | ||||
\(517\) | −19.2635 | + | 22.2312i | −0.847206 | + | 0.977727i | ||||
\(518\) | 1.28281 | − | 1.48044i | 0.0563634 | − | 0.0650468i | ||||
\(519\) | 18.9460 | − | 5.56305i | 0.831638 | − | 0.244191i | ||||
\(520\) | −2.26044 | − | 4.94967i | −0.0991267 | − | 0.217057i | ||||
\(521\) | 1.78833 | − | 1.14929i | 0.0783483 | − | 0.0503514i | −0.500880 | − | 0.865517i | \(-0.666990\pi\) |
0.579228 | + | 0.815165i | \(0.303354\pi\) | |||||||
\(522\) | −0.271357 | − | 0.0796776i | −0.0118770 | − | 0.00348739i | ||||
\(523\) | −1.55575 | − | 10.8204i | −0.0680280 | − | 0.473145i | −0.995149 | − | 0.0983822i | \(-0.968633\pi\) |
0.927121 | − | 0.374763i | \(-0.122276\pi\) | |||||||
\(524\) | −6.93858 | + | 15.1934i | −0.303113 | + | 0.663725i | ||||
\(525\) | 0.888502 | − | 6.17967i | 0.0387774 | − | 0.269703i | ||||
\(526\) | 21.4225 | + | 13.7674i | 0.934066 | + | 0.600288i | ||||
\(527\) | −14.8459 | − | 17.1331i | −0.646698 | − | 0.746329i | ||||
\(528\) | −6.45005 | −0.280702 | ||||||||
\(529\) | 20.2981 | + | 10.8161i | 0.882526 | + | 0.470264i | ||||
\(530\) | 7.66530 | 0.332959 | ||||||||
\(531\) | −1.35716 | − | 1.56625i | −0.0588959 | − | 0.0679695i | ||||
\(532\) | 2.80297 | + | 1.80136i | 0.121524 | + | 0.0780989i | ||||
\(533\) | 4.47526 | − | 31.1261i | 0.193845 | − | 1.34822i | ||||
\(534\) | 9.13104 | − | 19.9942i | 0.395139 | − | 0.865233i | ||||
\(535\) | 2.94068 | + | 20.4529i | 0.127137 | + | 0.884255i | ||||
\(536\) | −3.02763 | − | 0.888993i | −0.130774 | − | 0.0383987i | ||||
\(537\) | 26.8839 | − | 17.2772i | 1.16012 | − | 0.745567i | ||||
\(538\) | −6.82936 | − | 14.9542i | −0.294435 | − | 0.644722i | ||||
\(539\) | 3.90935 | − | 1.14789i | 0.168388 | − | 0.0494431i | ||||
\(540\) | 3.72258 | − | 4.29608i | 0.160194 | − | 0.184874i | ||||
\(541\) | 19.4039 | − | 22.3933i | 0.834237 | − | 0.962761i | −0.165488 | − | 0.986212i | \(-0.552920\pi\) |
0.999725 | + | 0.0234505i | \(0.00746521\pi\) | |||||||
\(542\) | 0.110635 | − | 0.0324855i | 0.00475219 | − | 0.00139537i | ||||
\(543\) | −5.68470 | − | 12.4478i | −0.243954 | − | 0.534185i | ||||
\(544\) | −1.91422 | + | 1.23019i | −0.0820714 | + | 0.0527441i | ||||
\(545\) | −9.92208 | − | 2.91339i | −0.425015 | − | 0.124796i | ||||
\(546\) | 1.19282 | + | 8.29625i | 0.0510480 | + | 0.355047i | ||||
\(547\) | −10.2878 | + | 22.5272i | −0.439876 | + | 0.963195i | 0.551745 | + | 0.834013i | \(0.313962\pi\) |
−0.991621 | + | 0.129182i | \(0.958765\pi\) | |||||||
\(548\) | 0.886941 | − | 6.16881i | 0.0378882 | − | 0.263518i | ||||
\(549\) | 2.77842 | + | 1.78558i | 0.118580 | + | 0.0762067i | ||||
\(550\) | −10.5225 | − | 12.1437i | −0.448683 | − | 0.517807i | ||||
\(551\) | −1.90791 | −0.0812795 | ||||||||
\(552\) | 7.36579 | + | 1.84001i | 0.313509 | + | 0.0783160i | ||||
\(553\) | 11.6974 | 0.497426 | ||||||||
\(554\) | 19.4194 | + | 22.4112i | 0.825053 | + | 0.952162i | ||||
\(555\) | −2.68117 | − | 1.72308i | −0.113809 | − | 0.0731409i | ||||
\(556\) | −0.778574 | + | 5.41510i | −0.0330189 | + | 0.229652i | ||||
\(557\) | 0.325938 | − | 0.713705i | 0.0138105 | − | 0.0302407i | −0.902601 | − | 0.430478i | \(-0.858345\pi\) |
0.916412 | + | 0.400237i | \(0.131072\pi\) | |||||||
\(558\) | −0.700289 | − | 4.87062i | −0.0296456 | − | 0.206190i | ||||
\(559\) | −55.5451 | − | 16.3095i | −2.34931 | − | 0.689819i | ||||
\(560\) | 0.864594 | − | 0.555641i | 0.0365358 | − | 0.0234801i | ||||
\(561\) | 6.09691 | + | 13.3504i | 0.257412 | + | 0.563653i | ||||
\(562\) | −20.7747 | + | 6.10002i | −0.876330 | + | 0.257314i | ||||
\(563\) | −9.89491 | + | 11.4193i | −0.417021 | + | 0.481268i | −0.924927 | − | 0.380145i | \(-0.875874\pi\) |
0.507906 | + | 0.861412i | \(0.330420\pi\) | |||||||
\(564\) | 7.48463 | − | 8.63773i | 0.315160 | − | 0.363714i | ||||
\(565\) | −1.87433 | + | 0.550354i | −0.0788538 | + | 0.0231536i | ||||
\(566\) | 4.87385 | + | 10.6722i | 0.204863 | + | 0.448588i | ||||
\(567\) | −6.11960 | + | 3.93283i | −0.256999 | + | 0.165163i | ||||
\(568\) | 9.62618 | + | 2.82650i | 0.403906 | + | 0.118597i | ||||
\(569\) | 2.59086 | + | 18.0198i | 0.108615 | + | 0.755431i | 0.969227 | + | 0.246170i | \(0.0791721\pi\) |
−0.860612 | + | 0.509261i | \(0.829919\pi\) | |||||||
\(570\) | 2.25195 | − | 4.93108i | 0.0943238 | − | 0.206540i | ||||
\(571\) | 6.40866 | − | 44.5732i | 0.268194 | − | 1.86533i | −0.197388 | − | 0.980325i | \(-0.563246\pi\) |
0.465582 | − | 0.885005i | \(-0.345845\pi\) | |||||||
\(572\) | 18.1474 | + | 11.6627i | 0.758783 | + | 0.487640i | ||||
\(573\) | −9.85653 | − | 11.3750i | −0.411763 | − | 0.475199i | ||||
\(574\) | 5.93940 | 0.247906 | ||||||||
\(575\) | 8.55223 | + | 16.8695i | 0.356653 | + | 0.703507i | ||||
\(576\) | −0.493895 | −0.0205789 | ||||||||
\(577\) | −16.7090 | − | 19.2832i | −0.695604 | − | 0.802770i | 0.292547 | − | 0.956251i | \(-0.405497\pi\) |
−0.988152 | + | 0.153481i | \(0.950952\pi\) | |||||||
\(578\) | −9.94563 | − | 6.39167i | −0.413684 | − | 0.265858i | ||||
\(579\) | −1.26949 | + | 8.82946i | −0.0527580 | + | 0.366940i | ||||
\(580\) | −0.244474 | + | 0.535323i | −0.0101512 | + | 0.0222281i | ||||
\(581\) | −2.12895 | − | 14.8072i | −0.0883237 | − | 0.614305i | ||||
\(582\) | −11.1425 | − | 3.27174i | −0.461872 | − | 0.135618i | ||||
\(583\) | −25.5643 | + | 16.4292i | −1.05877 | + | 0.680427i | ||||
\(584\) | 3.81714 | + | 8.35836i | 0.157954 | + | 0.345872i | ||||
\(585\) | −2.57861 | + | 0.757149i | −0.106613 | + | 0.0313043i | ||||
\(586\) | 12.0145 | − | 13.8655i | 0.496314 | − | 0.572777i | ||||
\(587\) | 19.0076 | − | 21.9360i | 0.784529 | − | 0.905395i | −0.212899 | − | 0.977074i | \(-0.568290\pi\) |
0.997428 | + | 0.0716796i | \(0.0228359\pi\) | |||||||
\(588\) | −1.51894 | + | 0.446002i | −0.0626402 | + | 0.0183928i | ||||
\(589\) | −13.7901 | − | 30.1961i | −0.568211 | − | 1.24421i | ||||
\(590\) | −3.62795 | + | 2.33154i | −0.149360 | + | 0.0959880i | ||||
\(591\) | −2.69871 | − | 0.792411i | −0.111010 | − | 0.0325954i | ||||
\(592\) | 0.278781 | + | 1.93896i | 0.0114578 | + | 0.0796909i | ||||
\(593\) | −9.85777 | + | 21.5855i | −0.404810 | + | 0.886411i | 0.591950 | + | 0.805975i | \(0.298358\pi\) |
−0.996760 | + | 0.0804357i | \(0.974369\pi\) | |||||||
\(594\) | −3.20718 | + | 22.3064i | −0.131592 | + | 0.915243i | ||||
\(595\) | −1.96733 | − | 1.26432i | −0.0806525 | − | 0.0518322i | ||||
\(596\) | 7.87751 | + | 9.09114i | 0.322676 | + | 0.372387i | ||||
\(597\) | 3.61650 | 0.148013 | ||||||||
\(598\) | −17.3969 | − | 18.4954i | −0.711411 | − | 0.756332i | ||||
\(599\) | −8.37113 | −0.342035 | −0.171018 | − | 0.985268i | \(-0.554705\pi\) | ||||
−0.171018 | + | 0.985268i | \(0.554705\pi\) | |||||||
\(600\) | 4.08843 | + | 4.71830i | 0.166910 | + | 0.192624i | ||||
\(601\) | 11.1225 | + | 7.14800i | 0.453696 | + | 0.291573i | 0.747462 | − | 0.664305i | \(-0.231272\pi\) |
−0.293766 | + | 0.955877i | \(0.594909\pi\) | |||||||
\(602\) | 1.55607 | − | 10.8227i | 0.0634207 | − | 0.441100i | ||||
\(603\) | −0.647408 | + | 1.41763i | −0.0263645 | + | 0.0577302i | ||||
\(604\) | −1.76145 | − | 12.2511i | −0.0716722 | − | 0.498491i | ||||
\(605\) | −5.52293 | − | 1.62168i | −0.224539 | − | 0.0659307i | ||||
\(606\) | −8.81328 | + | 5.66395i | −0.358015 | + | 0.230082i | ||||
\(607\) | −2.93496 | − | 6.42667i | −0.119126 | − | 0.260851i | 0.840670 | − | 0.541548i | \(-0.182162\pi\) |
−0.959796 | + | 0.280697i | \(0.909434\pi\) | |||||||
\(608\) | −3.19693 | + | 0.938705i | −0.129653 | + | 0.0380695i | ||||
\(609\) | 0.593627 | − | 0.685082i | 0.0240550 | − | 0.0277609i | ||||
\(610\) | 4.50060 | − | 5.19397i | 0.182224 | − | 0.210298i | ||||
\(611\) | −36.6766 | + | 10.7692i | −1.48378 | + | 0.435676i | ||||
\(612\) | 0.466854 | + | 1.02227i | 0.0188714 | + | 0.0413227i | ||||
\(613\) | −31.4214 | + | 20.1933i | −1.26910 | + | 0.815600i | −0.989502 | − | 0.144518i | \(-0.953837\pi\) |
−0.279596 | + | 0.960118i | \(0.590201\pi\) | |||||||
\(614\) | −23.5917 | − | 6.92715i | −0.952083 | − | 0.279557i | ||||
\(615\) | −1.37524 | − | 9.56498i | −0.0554549 | − | 0.385697i | ||||
\(616\) | −1.69257 | + | 3.70620i | −0.0681954 | + | 0.149327i | ||||
\(617\) | 1.06838 | − | 7.43077i | 0.0430115 | − | 0.299152i | −0.956949 | − | 0.290256i | \(-0.906259\pi\) |
0.999960 | − | 0.00889524i | \(-0.00283148\pi\) | |||||||
\(618\) | 2.69776 | + | 1.73375i | 0.108520 | + | 0.0697415i | ||||
\(619\) | 23.9067 | + | 27.5898i | 0.960891 | + | 1.10893i | 0.993990 | + | 0.109475i | \(0.0349170\pi\) |
−0.0330987 | + | 0.999452i | \(0.510538\pi\) | |||||||
\(620\) | −10.2395 | −0.411228 | ||||||||
\(621\) | 10.0259 | − | 24.5584i | 0.402325 | − | 0.985495i | ||||
\(622\) | 4.44982 | 0.178422 | ||||||||
\(623\) | −9.09258 | − | 10.4934i | −0.364287 | − | 0.420409i | ||||
\(624\) | −7.05102 | − | 4.53141i | −0.282267 | − | 0.181402i | ||||
\(625\) | −1.46183 | + | 10.1672i | −0.0584732 | + | 0.406690i | ||||
\(626\) | 3.07203 | − | 6.72681i | 0.122783 | − | 0.268857i | ||||
\(627\) | 3.05848 | + | 21.2722i | 0.122144 | + | 0.849529i | ||||
\(628\) | −7.60517 | − | 2.23308i | −0.303479 | − | 0.0891096i | ||||
\(629\) | 3.74977 | − | 2.40983i | 0.149513 | − | 0.0960862i | ||||
\(630\) | −0.210864 | − | 0.461727i | −0.00840101 | − | 0.0183956i | ||||
\(631\) | 34.4292 | − | 10.1093i | 1.37060 | − | 0.402446i | 0.488116 | − | 0.872779i | \(-0.337684\pi\) |
0.882489 | + | 0.470333i | \(0.155866\pi\) | |||||||
\(632\) | −7.66020 | + | 8.84034i | −0.304706 | + | 0.351650i | ||||
\(633\) | −23.5029 | + | 27.1237i | −0.934155 | + | 1.07807i | ||||
\(634\) | −12.1628 | + | 3.57133i | −0.483048 | + | 0.141836i | ||||
\(635\) | 3.54170 | + | 7.75525i | 0.140548 | + | 0.307758i | ||||
\(636\) | 9.93277 | − | 6.38340i | 0.393860 | − | 0.253118i | ||||
\(637\) | 5.08004 | + | 1.49163i | 0.201278 | + | 0.0591007i | ||||
\(638\) | −0.332031 | − | 2.30932i | −0.0131452 | − | 0.0914270i | ||||
\(639\) | 2.05839 | − | 4.50726i | 0.0814288 | − | 0.178304i | ||||
\(640\) | −0.146263 | + | 1.01728i | −0.00578156 | + | 0.0402117i | ||||
\(641\) | −5.35093 | − | 3.43884i | −0.211349 | − | 0.135826i | 0.430684 | − | 0.902503i | \(-0.358272\pi\) |
−0.642033 | + | 0.766677i | \(0.721909\pi\) | |||||||
\(642\) | 20.8430 | + | 24.0541i | 0.822609 | + | 0.949341i | ||||
\(643\) | −7.88681 | −0.311025 | −0.155513 | − | 0.987834i | \(-0.549703\pi\) | ||||
−0.155513 | + | 0.987834i | \(0.549703\pi\) | |||||||
\(644\) | 2.99014 | − | 3.74954i | 0.117828 | − | 0.147753i | ||||
\(645\) | −17.7895 | −0.700461 | ||||||||
\(646\) | 4.96484 | + | 5.72973i | 0.195339 | + | 0.225433i | ||||
\(647\) | −37.7615 | − | 24.2678i | −1.48456 | − | 0.954067i | −0.996703 | − | 0.0811421i | \(-0.974143\pi\) |
−0.487855 | − | 0.872925i | \(-0.662220\pi\) | |||||||
\(648\) | 1.03525 | − | 7.20034i | 0.0406686 | − | 0.282856i | ||||
\(649\) | 7.10223 | − | 15.5517i | 0.278787 | − | 0.610458i | ||||
\(650\) | −2.97155 | − | 20.6676i | −0.116554 | − | 0.810651i | ||||
\(651\) | 15.1333 | + | 4.44355i | 0.593122 | + | 0.174156i | ||||
\(652\) | −17.1795 | + | 11.0406i | −0.672800 | + | 0.432383i | ||||
\(653\) | 11.7291 | + | 25.6832i | 0.458997 | + | 1.00506i | 0.987715 | + | 0.156265i | \(0.0499455\pi\) |
−0.528718 | + | 0.848797i | \(0.677327\pi\) | |||||||
\(654\) | −15.2833 | + | 4.48758i | −0.597625 | + | 0.175478i | ||||
\(655\) | 11.2415 | − | 12.9733i | 0.439240 | − | 0.506910i | ||||
\(656\) | −3.88948 | + | 4.48870i | −0.151859 | + | 0.175254i | ||||
\(657\) | 4.35443 | − | 1.27858i | 0.169883 | − | 0.0498820i | ||||
\(658\) | −2.99919 | − | 6.56731i | −0.116921 | − | 0.256020i | ||||
\(659\) | −26.9244 | + | 17.3033i | −1.04883 | + | 0.674040i | −0.947154 | − | 0.320778i | \(-0.896056\pi\) |
−0.101672 | + | 0.994818i | \(0.532419\pi\) | |||||||
\(660\) | 6.36048 | + | 1.86761i | 0.247581 | + | 0.0726964i | ||||
\(661\) | 6.47938 | + | 45.0651i | 0.252019 | + | 1.75283i | 0.586058 | + | 0.810269i | \(0.300679\pi\) |
−0.334039 | + | 0.942559i | \(0.608412\pi\) | |||||||
\(662\) | −0.215571 | + | 0.472034i | −0.00837839 | + | 0.0183461i | ||||
\(663\) | −2.71419 | + | 18.8776i | −0.105410 | + | 0.733144i | ||||
\(664\) | 12.5847 | + | 8.08768i | 0.488380 | + | 0.313863i | ||||
\(665\) | −2.24247 | − | 2.58794i | −0.0869591 | − | 0.100356i | ||||
\(666\) | 0.967491 | 0.0374895 | ||||||||
\(667\) | −0.279612 | + | 2.73191i | −0.0108266 | + | 0.105780i | ||||
\(668\) | −7.50342 | −0.290316 | ||||||||
\(669\) | −0.299829 | − | 0.346021i | −0.0115920 | − | 0.0133779i | ||||
\(670\) | 2.72818 | + | 1.75330i | 0.105399 | + | 0.0677358i | ||||
\(671\) | −3.87748 | + | 26.9685i | −0.149688 | + | 1.04111i | ||||
\(672\) | 0.657630 | − | 1.44001i | 0.0253686 | − | 0.0555496i | ||||
\(673\) | −2.13214 | − | 14.8294i | −0.0821880 | − | 0.571630i | −0.988752 | − | 0.149562i | \(-0.952214\pi\) |
0.906564 | − | 0.422068i | \(-0.138696\pi\) | |||||||
\(674\) | 5.74570 | + | 1.68709i | 0.221316 | + | 0.0649843i | ||||
\(675\) | 18.3504 | − | 11.7931i | 0.706306 | − | 0.453915i | ||||
\(676\) | 6.24442 | + | 13.6734i | 0.240170 | + | 0.525899i | ||||
\(677\) | 34.6729 | − | 10.1809i | 1.33259 | − | 0.391283i | 0.463567 | − | 0.886062i | \(-0.346569\pi\) |
0.869019 | + | 0.494779i | \(0.164751\pi\) | |||||||
\(678\) | −1.97046 | + | 2.27404i | −0.0756752 | + | 0.0873339i | ||||
\(679\) | −4.80386 | + | 5.54395i | −0.184355 | + | 0.212757i | ||||
\(680\) | 2.24384 | − | 0.658850i | 0.0860472 | − | 0.0252658i | ||||
\(681\) | −8.83240 | − | 19.3403i | −0.338458 | − | 0.741121i | ||||
\(682\) | 34.1494 | − | 21.9465i | 1.30765 | − | 0.840375i | ||||
\(683\) | 30.6416 | + | 8.99719i | 1.17247 | + | 0.344268i | 0.809266 | − | 0.587443i | \(-0.199865\pi\) |
0.363202 | + | 0.931710i | \(0.381683\pi\) | |||||||
\(684\) | 0.234194 | + | 1.62886i | 0.00895464 | + | 0.0622809i | ||||
\(685\) | −2.66080 | + | 5.82633i | −0.101664 | + | 0.222613i | ||||
\(686\) | −0.142315 | + | 0.989821i | −0.00543361 | + | 0.0377916i | ||||
\(687\) | −1.12179 | − | 0.720934i | −0.0427991 | − | 0.0275053i | ||||
\(688\) | 7.16024 | + | 8.26336i | 0.272982 | + | 0.315038i | ||||
\(689\) | −39.4883 | −1.50439 | ||||||||
\(690\) | −6.73073 | − | 3.94722i | −0.256234 | − | 0.150268i | ||||
\(691\) | −37.5642 | −1.42901 | −0.714505 | − | 0.699630i | \(-0.753348\pi\) | ||||
−0.714505 | + | 0.699630i | \(0.753348\pi\) | |||||||
\(692\) | 8.16818 | + | 9.42658i | 0.310508 | + | 0.358345i | ||||
\(693\) | 1.69287 | + | 1.08794i | 0.0643069 | + | 0.0413276i | ||||
\(694\) | −3.22524 | + | 22.4321i | −0.122429 | + | 0.851510i | ||||
\(695\) | 2.33570 | − | 5.11447i | 0.0885982 | − | 0.194003i | ||||
\(696\) | 0.129007 | + | 0.897266i | 0.00489001 | + | 0.0340108i | ||||
\(697\) | 12.9673 | + | 3.80754i | 0.491171 | + | 0.144221i | ||||
\(698\) | 19.3425 | − | 12.4307i | 0.732126 | − | 0.470509i | ||||
\(699\) | −15.5670 | − | 34.0871i | −0.588800 | − | 1.28929i | ||||
\(700\) | 3.78399 | − | 1.11108i | 0.143021 | − | 0.0419949i | ||||
\(701\) | −10.9086 | + | 12.5892i | −0.412013 | + | 0.475488i | −0.923387 | − | 0.383870i | \(-0.874591\pi\) |
0.511375 | + | 0.859358i | \(0.329136\pi\) | |||||||
\(702\) | −19.1771 | + | 22.1316i | −0.723794 | + | 0.835303i | ||||
\(703\) | 6.26248 | − | 1.83883i | 0.236194 | − | 0.0693528i | ||||
\(704\) | −1.69257 | − | 3.70620i | −0.0637910 | − | 0.139683i | ||||
\(705\) | −9.88174 | + | 6.35061i | −0.372168 | + | 0.239178i | ||||
\(706\) | −14.9190 | − | 4.38063i | −0.561486 | − | 0.164867i | ||||
\(707\) | 0.941806 | + | 6.55040i | 0.0354203 | + | 0.246353i | ||||
\(708\) | −2.75950 | + | 6.04247i | −0.103708 | + | 0.227090i | ||||
\(709\) | −3.57173 | + | 24.8419i | −0.134139 | + | 0.932957i | 0.805939 | + | 0.591998i | \(0.201661\pi\) |
−0.940078 | + | 0.340959i | \(0.889248\pi\) | |||||||
\(710\) | −8.67410 | − | 5.57450i | −0.325533 | − | 0.209207i | ||||
\(711\) | 3.78333 | + | 4.36619i | 0.141886 | + | 0.163745i | ||||
\(712\) | 13.8848 | 0.520353 | ||||||||
\(713\) | −45.2584 | + | 15.3205i | −1.69494 | + | 0.573757i | ||||
\(714\) | −3.60217 | −0.134808 | ||||||||
\(715\) | −14.5185 | − | 16.7553i | −0.542962 | − | 0.626612i | ||||
\(716\) | 16.9821 | + | 10.9137i | 0.634652 | + | 0.407866i | ||||
\(717\) | −1.85550 | + | 12.9053i | −0.0692950 | + | 0.481958i | ||||
\(718\) | −12.8602 | + | 28.1599i | −0.479939 | + | 1.05092i | ||||
\(719\) | 1.16947 | + | 8.13382i | 0.0436138 | + | 0.303340i | 0.999939 | + | 0.0110360i | \(0.00351295\pi\) |
−0.956325 | + | 0.292304i | \(0.905578\pi\) | |||||||
\(720\) | 0.487036 | + | 0.143007i | 0.0181508 | + | 0.00532955i | ||||
\(721\) | 1.70414 | − | 1.09518i | 0.0634653 | − | 0.0407867i | ||||
\(722\) | −3.28113 | − | 7.18468i | −0.122111 | − | 0.267386i | ||||
\(723\) | 36.3056 | − | 10.6603i | 1.35022 | − | 0.396461i | ||||
\(724\) | 5.66076 | − | 6.53287i | 0.210381 | − | 0.242792i | ||||
\(725\) | −1.47884 | + | 1.70668i | −0.0549229 | + | 0.0633844i | ||||
\(726\) | −8.50716 | + | 2.49793i | −0.315730 | + | 0.0927067i | ||||
\(727\) | −1.25075 | − | 2.73876i | −0.0463878 | − | 0.101575i | 0.885019 | − | 0.465555i | \(-0.154145\pi\) |
−0.931407 | + | 0.363979i | \(0.881418\pi\) | |||||||
\(728\) | −4.45402 | + | 2.86242i | −0.165077 | + | 0.106088i | ||||
\(729\) | −28.6514 | − | 8.41281i | −1.06116 | − | 0.311586i | ||||
\(730\) | −1.34397 | − | 9.34754i | −0.0497427 | − | 0.345968i | ||||
\(731\) | 10.3354 | − | 22.6313i | 0.382267 | − | 0.837048i | ||||
\(732\) | 1.50656 | − | 10.4783i | 0.0556840 | − | 0.387291i | ||||
\(733\) | 43.9936 | + | 28.2730i | 1.62494 | + | 1.04429i | 0.952681 | + | 0.303973i | \(0.0983132\pi\) |
0.672261 | + | 0.740314i | \(0.265323\pi\) | |||||||
\(734\) | 5.39289 | + | 6.22373i | 0.199055 | + | 0.229722i | ||||
\(735\) | 1.62699 | 0.0600124 | ||||||||
\(736\) | 0.875594 | + | 4.71522i | 0.0322748 | + | 0.173805i | ||||
\(737\) | −12.8566 | −0.473577 | ||||||||
\(738\) | 1.92099 | + | 2.21694i | 0.0707127 | + | 0.0816068i | ||||
\(739\) | 29.6758 | + | 19.0715i | 1.09164 | + | 0.701557i | 0.957218 | − | 0.289367i | \(-0.0934448\pi\) |
0.134425 | + | 0.990924i | \(0.457081\pi\) | |||||||
\(740\) | 0.286516 | − | 1.99276i | 0.0105325 | − | 0.0732553i | ||||
\(741\) | −11.6011 | + | 25.4028i | −0.426177 | + | 0.933197i | ||||
\(742\) | −1.06144 | − | 7.38245i | −0.0389666 | − | 0.271018i | ||||
\(743\) | −16.4852 | − | 4.84050i | −0.604785 | − | 0.177581i | −0.0350171 | − | 0.999387i | \(-0.511149\pi\) |
−0.569768 | + | 0.821806i | \(0.692967\pi\) | |||||||
\(744\) | −13.2684 | + | 8.52711i | −0.486444 | + | 0.312619i | ||||
\(745\) | −5.13579 | − | 11.2458i | −0.188161 | − | 0.412015i | ||||
\(746\) | −15.1321 | + | 4.44317i | −0.554024 | + | 0.162676i | ||||
\(747\) | 4.83836 | − | 5.58377i | 0.177026 | − | 0.204299i | ||||
\(748\) | −6.07123 | + | 7.00657i | −0.221986 | + | 0.256186i | ||||
\(749\) | 19.2910 | − | 5.66434i | 0.704877 | − | 0.206970i | ||||
\(750\) | −6.04486 | − | 13.2364i | −0.220727 | − | 0.483325i | ||||
\(751\) | −30.3308 | + | 19.4924i | −1.10679 | + | 0.711288i | −0.960590 | − | 0.277968i | \(-0.910339\pi\) |
−0.146196 | + | 0.989256i | \(0.546703\pi\) | |||||||
\(752\) | 6.92729 | + | 2.03404i | 0.252612 | + | 0.0741737i | ||||
\(753\) | −0.175176 | − | 1.21837i | −0.00638376 | − | 0.0444000i | ||||
\(754\) | 1.25942 | − | 2.75776i | 0.0458655 | − | 0.100432i | ||||
\(755\) | −1.81032 | + | 12.5910i | −0.0658842 | + | 0.458234i | ||||
\(756\) | −4.65304 | − | 2.99032i | −0.169229 | − | 0.108757i | ||||
\(757\) | −18.0991 | − | 20.8875i | −0.657824 | − | 0.759170i | 0.324596 | − | 0.945853i | \(-0.394772\pi\) |
−0.982420 | + | 0.186683i | \(0.940226\pi\) | |||||||
\(758\) | −18.5348 | −0.673214 | ||||||||
\(759\) | 30.9076 | − | 1.26186i | 1.12187 | − | 0.0458026i | ||||
\(760\) | 3.42434 | 0.124214 | ||||||||
\(761\) | −25.5849 | − | 29.5266i | −0.927454 | − | 1.07034i | −0.997348 | − | 0.0727842i | \(-0.976812\pi\) |
0.0698941 | − | 0.997554i | \(-0.477734\pi\) | |||||||
\(762\) | 11.0477 | + | 7.09992i | 0.400215 | + | 0.257203i | ||||
\(763\) | −1.43194 | + | 9.95939i | −0.0518399 | + | 0.360554i | ||||
\(764\) | 3.94964 | − | 8.64851i | 0.142893 | − | 0.312892i | ||||
\(765\) | −0.164374 | − | 1.14325i | −0.00594297 | − | 0.0413342i | ||||
\(766\) | −12.5079 | − | 3.67264i | −0.451928 | − | 0.132698i | ||||
\(767\) | 18.6896 | − | 12.0111i | 0.674844 | − | 0.433696i | ||||
\(768\) | 0.657630 | + | 1.44001i | 0.0237302 | + | 0.0519619i | ||||
\(769\) | −44.6283 | + | 13.1041i | −1.60934 | + | 0.472544i | −0.958125 | − | 0.286351i | \(-0.907558\pi\) |
−0.651213 | + | 0.758895i | \(0.725739\pi\) | |||||||
\(770\) | 2.74219 | − | 3.16466i | 0.0988216 | − | 0.114046i | ||||
\(771\) | 1.33017 | − | 1.53510i | 0.0479051 | − | 0.0552854i | ||||
\(772\) | −5.40654 | + | 1.58750i | −0.194586 | + | 0.0571355i | ||||
\(773\) | −1.08997 | − | 2.38669i | −0.0392034 | − | 0.0858434i | 0.889017 | − | 0.457874i | \(-0.151389\pi\) |
−0.928220 | + | 0.372031i | \(0.878662\pi\) | |||||||
\(774\) | 4.54297 | − | 2.91959i | 0.163294 | − | 0.104943i | ||||
\(775\) | −37.7002 | − | 11.0698i | −1.35423 | − | 0.397638i | ||||
\(776\) | −1.04398 | − | 7.26103i | −0.0374767 | − | 0.260656i | ||||
\(777\) | −1.28823 | + | 2.82084i | −0.0462151 | + | 0.101197i | ||||
\(778\) | −2.63020 | + | 18.2934i | −0.0942972 | + | 0.655851i | ||||
\(779\) | 16.6480 | + | 10.6990i | 0.596476 | + | 0.383332i | ||||
\(780\) | 5.64104 | + | 6.51010i | 0.201982 | + | 0.233099i | ||||
\(781\) | 40.8767 | 1.46268 | ||||||||
\(782\) | 8.93196 | − | 6.26938i | 0.319406 | − | 0.224193i | ||||
\(783\) | 3.16719 | 0.113186 | ||||||||
\(784\) | −0.654861 | − | 0.755750i | −0.0233879 | − | 0.0269911i | ||||
\(785\) | 6.85298 | + | 4.40414i | 0.244593 | + | 0.157191i | ||||
\(786\) | 3.76303 | − | 26.1725i | 0.134223 | − | 0.933541i | ||||
\(787\) | −14.7595 | + | 32.3189i | −0.526121 | + | 1.15204i | 0.440949 | + | 0.897532i | \(0.354642\pi\) |
−0.967070 | + | 0.254512i | \(0.918085\pi\) | |||||||
\(788\) | −0.252851 | − | 1.75862i | −0.00900743 | − | 0.0626481i | ||||
\(789\) | −38.6799 | − | 11.3574i | −1.37704 | − | 0.404335i | ||||
\(790\) | 10.1135 | − | 6.49958i | 0.359823 | − | 0.231245i | ||||
\(791\) | 0.789591 | + | 1.72896i | 0.0280746 | + | 0.0614749i | ||||
\(792\) | −1.93081 | + | 0.566937i | −0.0686083 | + | 0.0201452i | ||||
\(793\) | −23.1852 | + | 26.7571i | −0.823329 | + | 0.950173i | ||||
\(794\) | −6.83016 | + | 7.88243i | −0.242393 | + | 0.279737i | ||||
\(795\) | −11.6431 | + | 3.41874i | −0.412940 | + | 0.121250i | ||||
\(796\) | 0.949010 | + | 2.07804i | 0.0336368 | + | 0.0736543i | ||||
\(797\) | 21.6035 | − | 13.8837i | 0.765234 | − | 0.491786i | −0.0988696 | − | 0.995100i | \(-0.531523\pi\) |
0.864103 | + | 0.503315i | \(0.167886\pi\) | |||||||
\(798\) | −5.06097 | − | 1.48603i | −0.179156 | − | 0.0526050i | ||||
\(799\) | −2.33796 | − | 16.2608i | −0.0827110 | − | 0.575267i | ||||
\(800\) | −1.63829 | + | 3.58735i | −0.0579223 | + | 0.126832i | ||||
\(801\) | 0.975939 | − | 6.78781i | 0.0344831 | − | 0.239835i | ||||
\(802\) | 6.05065 | + | 3.88851i | 0.213656 | + | 0.137308i | ||||
\(803\) | 24.5170 | + | 28.2942i | 0.865187 | + | 0.998479i | ||||
\(804\) | 4.99529 | 0.176170 | ||||||||
\(805\) | −4.03429 | + | 2.83169i | −0.142190 | + | 0.0998038i | ||||
\(806\) | 52.7495 | 1.85802 | ||||||||
\(807\) | 17.0430 | + | 19.6687i | 0.599943 | + | 0.692371i | ||||
\(808\) | −5.56722 | − | 3.57783i | −0.195854 | − | 0.125868i | ||||
\(809\) | 2.81659 | − | 19.5898i | 0.0990260 | − | 0.688741i | −0.878472 | − | 0.477794i | \(-0.841436\pi\) |
0.977498 | − | 0.210946i | \(-0.0676545\pi\) | |||||||
\(810\) | −3.10573 | + | 6.80060i | −0.109124 | + | 0.238949i | ||||
\(811\) | 3.36905 | + | 23.4323i | 0.118303 | + | 0.822818i | 0.959423 | + | 0.281969i | \(0.0909877\pi\) |
−0.841120 | + | 0.540848i | \(0.818103\pi\) | |||||||
\(812\) | 0.549423 | + | 0.161325i | 0.0192810 | + | 0.00566140i | ||||
\(813\) | −0.153560 | + | 0.0986871i | −0.00538559 | + | 0.00346111i | ||||
\(814\) | 3.31557 | + | 7.26009i | 0.116211 | + | 0.254466i | ||||
\(815\) | 20.1377 | − | 5.91297i | 0.705393 | − | 0.207122i | ||||
\(816\) | 2.35892 | − | 2.72234i | 0.0825787 | − | 0.0953009i | ||||
\(817\) | 23.8572 | − | 27.5327i | 0.834658 | − | 0.963247i | ||||
\(818\) | 37.0933 | − | 10.8916i | 1.29694 | − | 0.380815i | ||||
\(819\) | 1.08628 | + | 2.37862i | 0.0379577 | + | 0.0831157i | ||||
\(820\) | 5.13517 | − | 3.30017i | 0.179328 | − | 0.115247i | ||||
\(821\) | 2.70112 | + | 0.793121i | 0.0942698 | + | 0.0276801i | 0.328527 | − | 0.944494i | \(-0.393448\pi\) |
−0.234258 | + | 0.972175i | \(0.575266\pi\) | |||||||
\(822\) | 1.40409 | + | 9.76564i | 0.0489732 | + | 0.340616i | ||||
\(823\) | 10.3070 | − | 22.5692i | 0.359280 | − | 0.786713i | −0.640544 | − | 0.767922i | \(-0.721291\pi\) |
0.999823 | − | 0.0187912i | \(-0.00598178\pi\) | |||||||
\(824\) | −0.288289 | + | 2.00509i | −0.0100430 | + | 0.0698506i | ||||
\(825\) | 21.3992 | + | 13.7525i | 0.745026 | + | 0.478799i | ||||
\(826\) | 2.74788 | + | 3.17122i | 0.0956110 | + | 0.110341i | ||||
\(827\) | −18.4387 | −0.641176 | −0.320588 | − | 0.947219i | \(-0.603880\pi\) | ||||
−0.320588 | + | 0.947219i | \(0.603880\pi\) | |||||||
\(828\) | 2.36666 | − | 0.0966235i | 0.0822472 | − | 0.00335790i | ||||
\(829\) | 20.3691 | 0.707450 | 0.353725 | − | 0.935350i | \(-0.384915\pi\) | ||||
0.353725 | + | 0.935350i | \(0.384915\pi\) | |||||||
\(830\) | −10.0681 | − | 11.6193i | −0.349470 | − | 0.403310i | ||||
\(831\) | −39.4925 | − | 25.3803i | −1.36998 | − | 0.880432i | ||||
\(832\) | 0.753486 | − | 5.24061i | 0.0261224 | − | 0.181686i | ||||
\(833\) | −0.945250 | + | 2.06981i | −0.0327510 | + | 0.0717146i | ||||
\(834\) | −1.23254 | − | 8.57248i | −0.0426792 | − | 0.296841i | ||||
\(835\) | 7.39923 | + | 2.17261i | 0.256061 | + | 0.0751862i | ||||
\(836\) | −11.4204 | + | 7.33946i | −0.394984 | + | 0.253840i | ||||
\(837\) | 22.8921 | + | 50.1266i | 0.791265 | + | 1.73263i | ||||
\(838\) | −25.4909 | + | 7.48481i | −0.880569 | + | 0.258559i | ||||
\(839\) | 9.42024 | − | 10.8715i | 0.325223 | − | 0.375327i | −0.569468 | − | 0.822014i | \(-0.692851\pi\) |
0.894691 | + | 0.446687i | \(0.147396\pi\) | |||||||
\(840\) | −1.06545 | + | 1.22960i | −0.0367616 | + | 0.0424251i | ||||
\(841\) | 27.5107 | − | 8.07787i | 0.948644 | − | 0.278547i | ||||
\(842\) | −11.5739 | − | 25.3432i | −0.398862 | − | 0.873386i | ||||
\(843\) | 28.8350 | − | 18.5312i | 0.993132 | − | 0.638247i | ||||
\(844\) | −21.7527 | − | 6.38718i | −0.748760 | − | 0.219856i | ||||
\(845\) | −2.19859 | − | 15.2916i | −0.0756339 | − | 0.526045i | ||||
\(846\) | 1.48128 | − | 3.24356i | 0.0509276 | − | 0.111516i | ||||
\(847\) | −0.797064 | + | 5.54370i | −0.0273874 | + | 0.190484i | ||||
\(848\) | 6.27438 | + | 4.03230i | 0.215463 | + | 0.138470i | ||||
\(849\) | −12.1629 | − | 14.0368i | −0.417431 | − | 0.481741i | ||||
\(850\) | 8.97373 | 0.307796 | ||||||||
\(851\) | −1.71520 | − | 9.23666i | −0.0587964 | − | 0.316629i | ||||
\(852\) | −15.8822 | −0.544117 | ||||||||
\(853\) | −31.0303 | − | 35.8108i | −1.06246 | − | 1.22614i | −0.973159 | − | 0.230134i | \(-0.926083\pi\) |
−0.0892970 | − | 0.996005i | \(-0.528462\pi\) | |||||||
\(854\) | −5.62552 | − | 3.61530i | −0.192501 | − | 0.123713i | ||||
\(855\) | 0.240692 | − | 1.67405i | 0.00823149 | − | 0.0572513i | ||||
\(856\) | −8.35208 | + | 18.2885i | −0.285468 | + | 0.625088i | ||||
\(857\) | −7.58353 | − | 52.7446i | −0.259049 | − | 1.80172i | −0.539641 | − | 0.841896i | \(-0.681440\pi\) |
0.280592 | − | 0.959827i | \(-0.409469\pi\) | |||||||
\(858\) | −32.7665 | − | 9.62111i | −1.11863 | − | 0.328459i | ||||
\(859\) | −13.2117 | + | 8.49066i | −0.450778 | + | 0.289697i | −0.746265 | − | 0.665649i | \(-0.768155\pi\) |
0.295487 | + | 0.955347i | \(0.404518\pi\) | |||||||
\(860\) | −4.66817 | − | 10.2219i | −0.159183 | − | 0.348562i | ||||
\(861\) | −9.02161 | + | 2.64898i | −0.307456 | + | 0.0902771i | ||||
\(862\) | −6.00011 | + | 6.92450i | −0.204365 | + | 0.235849i | ||||
\(863\) | −14.4910 | + | 16.7236i | −0.493281 | + | 0.569276i | −0.946739 | − | 0.322001i | \(-0.895645\pi\) |
0.453459 | + | 0.891277i | \(0.350190\pi\) | |||||||
\(864\) | 5.30703 | − | 1.55828i | 0.180549 | − | 0.0530139i | ||||
\(865\) | −5.32530 | − | 11.6608i | −0.181066 | − | 0.396478i | ||||
\(866\) | −1.58633 | + | 1.01947i | −0.0539058 | + | 0.0346432i | ||||
\(867\) | 17.9575 | + | 5.27281i | 0.609870 | + | 0.179074i | ||||
\(868\) | 1.41789 | + | 9.86166i | 0.0481264 | + | 0.334727i | ||||
\(869\) | −19.7987 | + | 43.3531i | −0.671625 | + | 1.47065i | ||||
\(870\) | 0.132587 | − | 0.922161i | 0.00449511 | − | 0.0312642i | ||||
\(871\) | −14.0544 | − | 9.03224i | −0.476216 | − | 0.306046i | ||||
\(872\) | −6.58908 | − | 7.60421i | −0.223134 | − | 0.257511i | ||||
\(873\) | −3.62306 | −0.122622 | ||||||||
\(874\) | 15.1356 | − | 5.12356i | 0.511968 | − | 0.173307i | ||||
\(875\) | −9.19188 | −0.310742 | ||||||||
\(876\) | −9.52586 | − | 10.9934i | −0.321849 | − | 0.371433i | ||||
\(877\) | 45.0768 | + | 28.9691i | 1.52213 | + | 0.978216i | 0.991427 | + | 0.130661i | \(0.0417101\pi\) |
0.530707 | + | 0.847555i | \(0.321926\pi\) | |||||||
\(878\) | 0.576899 | − | 4.01242i | 0.0194694 | − | 0.135413i | ||||
\(879\) | −12.0653 | + | 26.4193i | −0.406952 | + | 0.891101i | ||||
\(880\) | 0.595935 | + | 4.14482i | 0.0200890 | + | 0.139722i | ||||
\(881\) | 38.7559 | + | 11.3797i | 1.30572 | + | 0.383393i | 0.859319 | − | 0.511440i | \(-0.170888\pi\) |
0.446399 | + | 0.894834i | \(0.352706\pi\) | |||||||
\(882\) | −0.415491 | + | 0.267020i | −0.0139903 | + | 0.00899102i | ||||
\(883\) | −14.3633 | − | 31.4512i | −0.483363 | − | 1.05842i | −0.981525 | − | 0.191334i | \(-0.938719\pi\) |
0.498162 | − | 0.867084i | \(-0.334009\pi\) | |||||||
\(884\) | −11.5593 | + | 3.39412i | −0.388781 | + | 0.114156i | ||||
\(885\) | 4.47078 | − | 5.15955i | 0.150283 | − | 0.173436i | ||||
\(886\) | 6.09733 | − | 7.03670i | 0.204844 | − | 0.236403i | ||||
\(887\) | −38.9931 | + | 11.4494i | −1.30926 | + | 0.384433i | −0.860605 | − | 0.509272i | \(-0.829915\pi\) |
−0.448654 | + | 0.893706i | \(0.648096\pi\) | |||||||
\(888\) | −1.28823 | − | 2.82084i | −0.0432303 | − | 0.0946611i | ||||
\(889\) | 6.97865 | − | 4.48491i | 0.234057 | − | 0.150419i | ||||
\(890\) | −13.6919 | − | 4.02032i | −0.458955 | − | 0.134761i | ||||
\(891\) | −4.21803 | − | 29.3370i | −0.141309 | − | 0.982828i | ||||
\(892\) | 0.120145 | − | 0.263081i | 0.00402276 | − | 0.00880861i | ||||
\(893\) | 3.42345 | − | 23.8106i | 0.114561 | − | 0.796792i | ||||
\(894\) | −16.0202 | − | 10.2955i | −0.535794 | − | 0.344334i | ||||
\(895\) | −13.5862 | − | 15.6794i | −0.454138 | − | 0.524103i | ||||
\(896\) | 1.00000 | 0.0334077 | ||||||||
\(897\) | 34.6738 | + | 20.3344i | 1.15773 | + | 0.678945i | ||||
\(898\) | 7.21518 | 0.240774 | ||||||||
\(899\) | −3.73600 | − | 4.31158i | −0.124603 | − | 0.143799i | ||||
\(900\) | 1.63859 | + | 1.05306i | 0.0546196 | + | 0.0351019i | ||||
\(901\) | 2.41523 | − | 16.7983i | 0.0804630 | − | 0.559632i | ||||
\(902\) | −10.0528 | + | 22.0126i | −0.334722 | + | 0.732940i | ||||
\(903\) | 2.46336 | + | 17.1331i | 0.0819757 | + | 0.570153i | ||||
\(904\) | −1.82374 | − | 0.535497i | −0.0606565 | − | 0.0178104i | ||||
\(905\) | −7.47374 | + | 4.80308i | −0.248436 | + | 0.159660i | ||||
\(906\) | 8.13956 | + | 17.8232i | 0.270419 | + | 0.592135i | ||||
\(907\) | −14.5587 | + | 4.27482i | −0.483414 | + | 0.141943i | −0.514354 | − | 0.857578i | \(-0.671968\pi\) |
0.0309397 | + | 0.999521i | \(0.490150\pi\) | |||||||
\(908\) | 8.79521 | − | 10.1502i | 0.291879 | − | 0.336847i | ||||
\(909\) | −2.14040 | + | 2.47015i | −0.0709925 | + | 0.0819297i | ||||
\(910\) | 5.22098 | − | 1.53302i | 0.173074 | − | 0.0508191i | ||||
\(911\) | 12.2285 | + | 26.7767i | 0.405148 | + | 0.887151i | 0.996722 | + | 0.0809000i | \(0.0257794\pi\) |
−0.591574 | + | 0.806251i | \(0.701493\pi\) | |||||||
\(912\) | 4.43730 | − | 2.85168i | 0.146934 | − | 0.0944285i | ||||
\(913\) | 58.4817 | + | 17.1718i | 1.93546 | + | 0.568303i | ||||
\(914\) | −0.750452 | − | 5.21951i | −0.0248227 | − | 0.172646i | ||||
\(915\) | −4.51963 | + | 9.89661i | −0.149414 | + | 0.327172i | ||||
\(916\) | 0.119877 | − | 0.833765i | 0.00396086 | − | 0.0275484i | ||||
\(917\) | −14.0513 | − | 9.03019i | −0.464013 | − | 0.298203i | ||||
\(918\) | −8.24182 | − | 9.51156i | −0.272020 | − | 0.313928i | ||||
\(919\) | 15.3834 | 0.507452 | 0.253726 | − | 0.967276i | \(-0.418344\pi\) | ||||
0.253726 | + | 0.967276i | \(0.418344\pi\) | |||||||
\(920\) | 0.501853 | − | 4.90327i | 0.0165456 | − | 0.161656i | ||||
\(921\) | 38.9240 | 1.28259 | ||||||||
\(922\) | 11.5425 | + | 13.3207i | 0.380131 | + | 0.438694i | ||||
\(923\) | 44.6853 | + | 28.7175i | 1.47083 | + | 0.945247i | ||||
\(924\) | 0.917938 | − | 6.38440i | 0.0301979 | − | 0.210031i | ||||
\(925\) | 3.20925 | − | 7.02728i | 0.105519 | − | 0.231055i | ||||
\(926\) | −0.110716 | − | 0.770046i | −0.00363835 | − | 0.0253053i | ||||
\(927\) | 0.959960 | + | 0.281870i | 0.0315292 | + | 0.00925782i | ||||
\(928\) | −0.481717 | + | 0.309581i | −0.0158131 | + | 0.0101625i | ||||
\(929\) | 6.56781 | + | 14.3815i | 0.215483 | + | 0.471842i | 0.986247 | − | 0.165279i | \(-0.0528525\pi\) |
−0.770764 | + | 0.637121i | \(0.780125\pi\) | |||||||
\(930\) | 15.5532 | − | 4.56683i | 0.510010 | − | 0.149752i | ||||
\(931\) | −2.18193 | + | 2.51808i | −0.0715099 | + | 0.0825268i | ||||
\(932\) | 15.5015 | − | 17.8897i | 0.507768 | − | 0.585996i | ||||
\(933\) | −6.75902 | + | 1.98463i | −0.221280 | + | 0.0649738i | ||||
\(934\) | −0.676146 | − | 1.48055i | −0.0221242 | − | 0.0484452i | ||||
\(935\) | 8.01567 | − | 5.15136i | 0.262140 | − | 0.168467i | ||||
\(936\) | −2.50900 | − | 0.736710i | −0.0820093 | − | 0.0240801i | ||||
\(937\) | −1.59644 | − | 11.1035i | −0.0521535 | − | 0.362736i | −0.999140 | − | 0.0414625i | \(-0.986798\pi\) |
0.946987 | − | 0.321273i | \(-0.104111\pi\) | |||||||
\(938\) | 1.31082 | − | 2.87030i | 0.0427998 | − | 0.0937186i | ||||
\(939\) | −1.66607 | + | 11.5878i | −0.0543701 | + | 0.378152i | ||||
\(940\) | −6.24215 | − | 4.01158i | −0.203596 | − | 0.130843i | ||||
\(941\) | −13.7291 | − | 15.8443i | −0.447557 | − | 0.516508i | 0.486476 | − | 0.873694i | \(-0.338282\pi\) |
−0.934034 | + | 0.357185i | \(0.883736\pi\) | |||||||
\(942\) | 12.5478 | 0.408829 | ||||||||
\(943\) | 17.7596 | − | 22.2700i | 0.578333 | − | 0.725212i | ||||
\(944\) | −4.19613 | −0.136572 | ||||||||
\(945\) | 3.72258 | + | 4.29608i | 0.121095 | + | 0.139752i | ||||
\(946\) | 37.4774 | + | 24.0852i | 1.21849 | + | 0.783079i | ||||
\(947\) | 5.99996 | − | 41.7306i | 0.194972 | − | 1.35606i | −0.623638 | − | 0.781713i | \(-0.714346\pi\) |
0.818610 | − | 0.574349i | \(-0.194745\pi\) | |||||||
\(948\) | 7.69259 | − | 16.8444i | 0.249844 | − | 0.547082i | ||||
\(949\) | 6.92358 | + | 48.1546i | 0.224749 | + | 1.56316i | ||||
\(950\) | 12.6079 | + | 3.70201i | 0.409054 | + | 0.120109i | ||||
\(951\) | 16.8818 | − | 10.8493i | 0.547431 | − | 0.351813i | ||||
\(952\) | −0.945250 | − | 2.06981i | −0.0306357 | − | 0.0670829i | ||||
\(953\) | 18.7730 | − | 5.51224i | 0.608116 | − | 0.178559i | 0.0368459 | − | 0.999321i | \(-0.488269\pi\) |
0.571270 | + | 0.820762i | \(0.306451\pi\) | |||||||
\(954\) | 2.41228 | − | 2.78391i | 0.0781003 | − | 0.0901326i | ||||
\(955\) | −6.39896 | + | 7.38480i | −0.207066 | + | 0.238966i | ||||
\(956\) | −7.90230 | + | 2.32033i | −0.255579 | + | 0.0750447i | ||||
\(957\) | 1.53430 | + | 3.35965i | 0.0495968 | + | 0.108602i | ||||
\(958\) | −25.8402 | + | 16.6065i | −0.834860 | + | 0.536532i | ||||
\(959\) | 5.97979 | + | 1.75583i | 0.193098 | + | 0.0566986i | ||||
\(960\) | −0.231545 | − | 1.61043i | −0.00747308 | − | 0.0519764i | ||||
\(961\) | 28.3574 | − | 62.0940i | 0.914754 | − | 2.00303i | ||||
\(962\) | −1.47601 | + | 10.2658i | −0.0475883 | + | 0.330984i | ||||
\(963\) | 8.35359 | + | 5.36853i | 0.269191 | + | 0.172998i | ||||
\(964\) | 15.6524 | + | 18.0639i | 0.504130 | + | 0.581798i | ||||
\(965\) | 5.79113 | 0.186423 | ||||||||
\(966\) | −2.86954 | + | 7.02895i | −0.0923260 | + | 0.226153i | ||||
\(967\) | 2.31973 | 0.0745976 | 0.0372988 | − | 0.999304i | \(-0.488125\pi\) | ||||
0.0372988 | + | 0.999304i | \(0.488125\pi\) | |||||||
\(968\) | −3.66768 | − | 4.23273i | −0.117884 | − | 0.136045i | ||||
\(969\) | −10.0968 | − | 6.48881i | −0.324355 | − | 0.208451i | ||||
\(970\) | −1.07294 | + | 7.46249i | −0.0344501 | + | 0.239606i | ||||
\(971\) | 12.6015 | − | 27.5934i | 0.404401 | − | 0.885515i | −0.592404 | − | 0.805641i | \(-0.701821\pi\) |
0.996805 | − | 0.0798736i | \(-0.0254517\pi\) | |||||||
\(972\) | −0.722586 | − | 5.02569i | −0.0231769 | − | 0.161199i | ||||
\(973\) | −5.24918 | − | 1.54130i | −0.168281 | − | 0.0494118i | ||||
\(974\) | −35.1286 | + | 22.5758i | −1.12559 | + | 0.723375i | ||||
\(975\) | 13.7314 | + | 30.0676i | 0.439757 | + | 0.962934i | ||||
\(976\) | 6.41620 | − | 1.88397i | 0.205378 | − | 0.0603043i | ||||
\(977\) | 5.89489 | − | 6.80307i | 0.188594 | − | 0.217650i | −0.653576 | − | 0.756861i | \(-0.726732\pi\) |
0.842171 | + | 0.539211i | \(0.181278\pi\) | |||||||
\(978\) | 21.1705 | − | 24.4321i | 0.676959 | − | 0.781252i | ||||
\(979\) | 54.2804 | − | 15.9382i | 1.73481 | − | 0.509386i | ||||
\(980\) | 0.426940 | + | 0.934869i | 0.0136381 | + | 0.0298633i | ||||
\(981\) | −4.18058 | + | 2.68670i | −0.133476 | + | 0.0857797i | ||||
\(982\) | −21.6115 | − | 6.34572i | −0.689652 | − | 0.202500i | ||||
\(983\) | 5.74006 | + | 39.9230i | 0.183080 | + | 1.27335i | 0.849427 | + | 0.527705i | \(0.176948\pi\) |
−0.666348 | + | 0.745641i | \(0.732143\pi\) | |||||||
\(984\) | 3.90593 | − | 8.55279i | 0.124516 | − | 0.272653i | ||||
\(985\) | −0.259866 | + | 1.80741i | −0.00828002 | + | 0.0575888i | ||||
\(986\) | 1.09612 | + | 0.704431i | 0.0349074 | + | 0.0224336i | ||||
\(987\) | 7.48463 | + | 8.63773i | 0.238238 | + | 0.274942i | ||||
\(988\) | −17.6407 | −0.561227 | ||||||||
\(989\) | −35.9274 | − | 38.1959i | −1.14242 | − | 1.21456i | ||||
\(990\) | 2.06815 | 0.0657302 | ||||||||
\(991\) | 4.41376 | + | 5.09375i | 0.140208 | + | 0.161808i | 0.821511 | − | 0.570193i | \(-0.193132\pi\) |
−0.681303 | + | 0.732002i | \(0.738586\pi\) | |||||||
\(992\) | −8.38147 | − | 5.38644i | −0.266112 | − | 0.171020i | ||||
\(993\) | 0.116911 | − | 0.813137i | 0.00371007 | − | 0.0258041i | ||||
\(994\) | −4.16768 | + | 9.12595i | −0.132191 | + | 0.289457i | ||||
\(995\) | −0.334137 | − | 2.32397i | −0.0105928 | − | 0.0736748i | ||||
\(996\) | −22.7225 | − | 6.67194i | −0.719991 | − | 0.211408i | ||||
\(997\) | 18.5065 | − | 11.8934i | 0.586106 | − | 0.376667i | −0.213724 | − | 0.976894i | \(-0.568559\pi\) |
0.799830 | + | 0.600227i | \(0.204923\pi\) | |||||||
\(998\) | −15.8565 | − | 34.7210i | −0.501930 | − | 1.09907i | ||||
\(999\) | −10.3959 | + | 3.05253i | −0.328913 | + | 0.0965776i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 322.2.i.c.197.2 | yes | 20 | |
23.4 | even | 11 | 7406.2.a.bp.1.10 | 10 | |||
23.16 | even | 11 | inner | 322.2.i.c.85.2 | ✓ | 20 | |
23.19 | odd | 22 | 7406.2.a.bo.1.10 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.i.c.85.2 | ✓ | 20 | 23.16 | even | 11 | inner | |
322.2.i.c.197.2 | yes | 20 | 1.1 | even | 1 | trivial | |
7406.2.a.bo.1.10 | 10 | 23.19 | odd | 22 | |||
7406.2.a.bp.1.10 | 10 | 23.4 | even | 11 |