Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(11,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.u (of order \(12\), degree \(4\), 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: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 11.13 | ||
Character | \(\chi\) | \(=\) | 144.11 |
Dual form | 144.2.u.a.131.13 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0484091 | + | 1.41338i | 0.0342304 | + | 0.999414i | ||||
\(3\) | −1.65298 | + | 0.517369i | −0.954346 | + | 0.298703i | ||||
\(4\) | −1.99531 | + | 0.136841i | −0.997657 | + | 0.0684207i | ||||
\(5\) | −1.94452 | − | 0.521033i | −0.869617 | − | 0.233013i | −0.203695 | − | 0.979034i | \(-0.565295\pi\) |
−0.665922 | + | 0.746021i | \(0.731962\pi\) | |||||||
\(6\) | −0.811261 | − | 2.31125i | −0.331196 | − | 0.943562i | ||||
\(7\) | −0.322227 | + | 0.558114i | −0.121790 | + | 0.210947i | −0.920474 | − | 0.390804i | \(-0.872197\pi\) |
0.798683 | + | 0.601751i | \(0.205530\pi\) | |||||||
\(8\) | −0.290001 | − | 2.81352i | −0.102531 | − | 0.994730i | ||||
\(9\) | 2.46466 | − | 1.71040i | 0.821553 | − | 0.570133i | ||||
\(10\) | 0.642288 | − | 2.77358i | 0.203109 | − | 0.877083i | ||||
\(11\) | −5.59477 | + | 1.49911i | −1.68689 | + | 0.452000i | −0.969583 | − | 0.244762i | \(-0.921290\pi\) |
−0.717303 | + | 0.696762i | \(0.754623\pi\) | |||||||
\(12\) | 3.22741 | − | 1.25851i | 0.931672 | − | 0.363300i | ||||
\(13\) | −1.97877 | − | 0.530209i | −0.548811 | − | 0.147054i | −0.0262502 | − | 0.999655i | \(-0.508357\pi\) |
−0.522561 | + | 0.852602i | \(0.675023\pi\) | |||||||
\(14\) | −0.804428 | − | 0.428413i | −0.214992 | − | 0.114498i | ||||
\(15\) | 3.48381 | − | 0.144781i | 0.899517 | − | 0.0373823i | ||||
\(16\) | 3.96255 | − | 0.546083i | 0.990637 | − | 0.136521i | ||||
\(17\) | 3.05892i | 0.741898i | 0.928653 | + | 0.370949i | \(0.120967\pi\) | ||||
−0.928653 | + | 0.370949i | \(0.879033\pi\) | |||||||
\(18\) | 2.53676 | + | 3.40071i | 0.597921 | + | 0.801555i | ||||
\(19\) | 4.11098 | + | 4.11098i | 0.943124 | + | 0.943124i | 0.998467 | − | 0.0553434i | \(-0.0176254\pi\) |
−0.0553434 | + | 0.998467i | \(0.517625\pi\) | |||||||
\(20\) | 3.95123 | + | 0.773533i | 0.883522 | + | 0.172967i | ||||
\(21\) | 0.243883 | − | 1.08926i | 0.0532196 | − | 0.237696i | ||||
\(22\) | −2.38966 | − | 7.83499i | −0.509478 | − | 1.67043i | ||||
\(23\) | −7.05832 | + | 4.07512i | −1.47176 | + | 0.849722i | −0.999496 | − | 0.0317341i | \(-0.989897\pi\) |
−0.472266 | + | 0.881456i | \(0.656564\pi\) | |||||||
\(24\) | 1.93499 | + | 4.50064i | 0.394979 | + | 0.918690i | ||||
\(25\) | −0.820436 | − | 0.473679i | −0.164087 | − | 0.0947357i | ||||
\(26\) | 0.653599 | − | 2.82243i | 0.128181 | − | 0.553523i | ||||
\(27\) | −3.18911 | + | 4.10239i | −0.613745 | + | 0.789504i | ||||
\(28\) | 0.566571 | − | 1.15771i | 0.107072 | − | 0.218786i | ||||
\(29\) | 4.49126 | − | 1.20343i | 0.834006 | − | 0.223471i | 0.183545 | − | 0.983011i | \(-0.441243\pi\) |
0.650460 | + | 0.759540i | \(0.274576\pi\) | |||||||
\(30\) | 0.373280 | + | 4.91696i | 0.0681513 | + | 0.897710i | ||||
\(31\) | 0.147988 | − | 0.0854411i | 0.0265795 | − | 0.0153457i | −0.486651 | − | 0.873596i | \(-0.661782\pi\) |
0.513231 | + | 0.858251i | \(0.328448\pi\) | |||||||
\(32\) | 0.963649 | + | 5.57417i | 0.170351 | + | 0.985383i | ||||
\(33\) | 8.47242 | − | 5.37256i | 1.47486 | − | 0.935242i | ||||
\(34\) | −4.32343 | + | 0.148080i | −0.741463 | + | 0.0253955i | ||||
\(35\) | 0.917373 | − | 0.917373i | 0.155064 | − | 0.155064i | ||||
\(36\) | −4.68371 | + | 3.75005i | −0.780618 | + | 0.625008i | ||||
\(37\) | −2.65918 | − | 2.65918i | −0.437167 | − | 0.437167i | 0.453891 | − | 0.891057i | \(-0.350036\pi\) |
−0.891057 | + | 0.453891i | \(0.850036\pi\) | |||||||
\(38\) | −5.61139 | + | 6.00941i | −0.910288 | + | 0.974855i | ||||
\(39\) | 3.54517 | − | 0.147331i | 0.567681 | − | 0.0235918i | ||||
\(40\) | −0.902024 | + | 5.62205i | −0.142623 | + | 0.888925i | ||||
\(41\) | 0.983212 | + | 1.70297i | 0.153552 | + | 0.265960i | 0.932531 | − | 0.361090i | \(-0.117595\pi\) |
−0.778979 | + | 0.627050i | \(0.784262\pi\) | |||||||
\(42\) | 1.55135 | + | 0.291970i | 0.239378 | + | 0.0450519i | ||||
\(43\) | −0.220196 | − | 0.821783i | −0.0335796 | − | 0.125321i | 0.947101 | − | 0.320934i | \(-0.103997\pi\) |
−0.980681 | + | 0.195614i | \(0.937330\pi\) | |||||||
\(44\) | 10.9582 | − | 3.75680i | 1.65201 | − | 0.566358i | ||||
\(45\) | −5.68376 | + | 2.04174i | −0.847284 | + | 0.304364i | ||||
\(46\) | −6.10141 | − | 9.77885i | −0.899603 | − | 1.44181i | ||||
\(47\) | 4.02475 | − | 6.97107i | 0.587070 | − | 1.01684i | −0.407544 | − | 0.913186i | \(-0.633615\pi\) |
0.994614 | − | 0.103650i | \(-0.0330520\pi\) | |||||||
\(48\) | −6.26747 | + | 2.95276i | −0.904631 | + | 0.426195i | ||||
\(49\) | 3.29234 | + | 5.70250i | 0.470334 | + | 0.814643i | ||||
\(50\) | 0.629774 | − | 1.18252i | 0.0890634 | − | 0.167234i | ||||
\(51\) | −1.58259 | − | 5.05632i | −0.221607 | − | 0.708027i | ||||
\(52\) | 4.02081 | + | 0.787156i | 0.557587 | + | 0.109159i | ||||
\(53\) | −3.25765 | + | 3.25765i | −0.447473 | + | 0.447473i | −0.894514 | − | 0.447041i | \(-0.852478\pi\) |
0.447041 | + | 0.894514i | \(0.352478\pi\) | |||||||
\(54\) | −5.95263 | − | 4.30885i | −0.810050 | − | 0.586360i | ||||
\(55\) | 11.6602 | 1.57227 | ||||||||
\(56\) | 1.66371 | + | 0.744739i | 0.222323 | + | 0.0995199i | ||||
\(57\) | −8.92225 | − | 4.66846i | −1.18178 | − | 0.618352i | ||||
\(58\) | 1.91833 | + | 6.28962i | 0.251889 | + | 0.825867i | ||||
\(59\) | 0.135818 | − | 0.506879i | 0.0176820 | − | 0.0659900i | −0.956521 | − | 0.291663i | \(-0.905791\pi\) |
0.974203 | + | 0.225673i | \(0.0724581\pi\) | |||||||
\(60\) | −6.93149 | + | 0.765614i | −0.894851 | + | 0.0988403i | ||||
\(61\) | −0.805675 | − | 3.00682i | −0.103156 | − | 0.384984i | 0.894973 | − | 0.446120i | \(-0.147194\pi\) |
−0.998129 | + | 0.0611358i | \(0.980528\pi\) | |||||||
\(62\) | 0.127925 | + | 0.205028i | 0.0162465 | + | 0.0260386i | ||||
\(63\) | 0.160417 | + | 1.92670i | 0.0202106 | + | 0.242741i | ||||
\(64\) | −7.83180 | + | 1.63185i | −0.978975 | + | 0.203981i | ||||
\(65\) | 3.57150 | + | 2.06201i | 0.442990 | + | 0.255760i | ||||
\(66\) | 8.00364 | + | 11.7147i | 0.985179 | + | 1.44198i | ||||
\(67\) | 0.583631 | − | 2.17814i | 0.0713019 | − | 0.266102i | −0.921067 | − | 0.389403i | \(-0.872681\pi\) |
0.992369 | + | 0.123301i | \(0.0393480\pi\) | |||||||
\(68\) | −0.418587 | − | 6.10351i | −0.0507612 | − | 0.740159i | ||||
\(69\) | 9.55889 | − | 10.3878i | 1.15076 | − | 1.25055i | ||||
\(70\) | 1.34101 | + | 1.25219i | 0.160281 | + | 0.149666i | ||||
\(71\) | − | 15.3137i | − | 1.81741i | −0.417442 | − | 0.908704i | \(-0.637073\pi\) | ||
0.417442 | − | 0.908704i | \(-0.362927\pi\) | |||||||
\(72\) | −5.52699 | − | 6.43835i | −0.651362 | − | 0.758767i | ||||
\(73\) | 9.33784i | 1.09291i | 0.837488 | + | 0.546456i | \(0.184023\pi\) | ||||
−0.837488 | + | 0.546456i | \(0.815977\pi\) | |||||||
\(74\) | 3.62972 | − | 3.88717i | 0.421946 | − | 0.451875i | ||||
\(75\) | 1.60123 | + | 0.358511i | 0.184894 | + | 0.0413973i | ||||
\(76\) | −8.76525 | − | 7.64014i | −1.00544 | − | 0.876385i | ||||
\(77\) | 0.966110 | − | 3.60557i | 0.110098 | − | 0.410893i | ||||
\(78\) | 0.379854 | + | 5.00355i | 0.0430099 | + | 0.566541i | ||||
\(79\) | −9.44301 | − | 5.45193i | −1.06242 | − | 0.613390i | −0.136321 | − | 0.990665i | \(-0.543528\pi\) |
−0.926101 | + | 0.377275i | \(0.876861\pi\) | |||||||
\(80\) | −7.98979 | − | 1.00275i | −0.893286 | − | 0.112111i | ||||
\(81\) | 3.14908 | − | 8.43109i | 0.349897 | − | 0.936788i | ||||
\(82\) | −2.35936 | + | 1.47210i | −0.260548 | + | 0.162566i | ||||
\(83\) | 3.31253 | + | 12.3625i | 0.363598 | + | 1.35697i | 0.869312 | + | 0.494264i | \(0.164563\pi\) |
−0.505714 | + | 0.862701i | \(0.668771\pi\) | |||||||
\(84\) | −0.337566 | + | 2.20679i | −0.0368315 | + | 0.240780i | ||||
\(85\) | 1.59380 | − | 5.94814i | 0.172872 | − | 0.645167i | ||||
\(86\) | 1.15084 | − | 0.351003i | 0.124098 | − | 0.0378497i | ||||
\(87\) | −6.80132 | + | 4.31288i | −0.729178 | + | 0.462389i | ||||
\(88\) | 5.84028 | + | 15.3062i | 0.622575 | + | 1.63165i | ||||
\(89\) | −3.86733 | −0.409936 | −0.204968 | − | 0.978769i | \(-0.565709\pi\) | ||||
−0.204968 | + | 0.978769i | \(0.565709\pi\) | |||||||
\(90\) | −3.16091 | − | 7.93450i | −0.333189 | − | 0.836369i | ||||
\(91\) | 0.933529 | − | 0.933529i | 0.0978604 | − | 0.0978604i | ||||
\(92\) | 13.5259 | − | 9.09702i | 1.41017 | − | 0.948430i | ||||
\(93\) | −0.200417 | + | 0.217797i | −0.0207822 | + | 0.0225845i | ||||
\(94\) | 10.0476 | + | 5.35106i | 1.03633 | + | 0.551919i | ||||
\(95\) | −5.85194 | − | 10.1359i | −0.600396 | − | 1.03992i | ||||
\(96\) | −4.47679 | − | 8.71541i | −0.456911 | − | 0.889512i | ||||
\(97\) | −7.33044 | + | 12.6967i | −0.744293 | + | 1.28915i | 0.206231 | + | 0.978503i | \(0.433880\pi\) |
−0.950524 | + | 0.310650i | \(0.899453\pi\) | |||||||
\(98\) | −7.90045 | + | 4.92940i | −0.798066 | + | 0.497944i | ||||
\(99\) | −11.2251 | + | 13.2641i | −1.12817 | + | 1.33309i | ||||
\(100\) | 1.70184 | + | 0.832868i | 0.170184 | + | 0.0832868i | ||||
\(101\) | −0.631544 | − | 2.35695i | −0.0628410 | − | 0.234526i | 0.927361 | − | 0.374168i | \(-0.122072\pi\) |
−0.990202 | + | 0.139642i | \(0.955405\pi\) | |||||||
\(102\) | 7.06992 | − | 2.48158i | 0.700026 | − | 0.245713i | ||||
\(103\) | 2.00255 | + | 3.46852i | 0.197317 | + | 0.341763i | 0.947658 | − | 0.319288i | \(-0.103444\pi\) |
−0.750341 | + | 0.661051i | \(0.770110\pi\) | |||||||
\(104\) | −0.917910 | + | 5.72106i | −0.0900084 | + | 0.560996i | ||||
\(105\) | −1.04178 | + | 1.99102i | −0.101667 | + | 0.194303i | ||||
\(106\) | −4.76201 | − | 4.44661i | −0.462528 | − | 0.431893i | ||||
\(107\) | −1.96059 | − | 1.96059i | −0.189537 | − | 0.189537i | 0.605959 | − | 0.795496i | \(-0.292790\pi\) |
−0.795496 | + | 0.605959i | \(0.792790\pi\) | |||||||
\(108\) | 5.80190 | − | 8.62195i | 0.558288 | − | 0.829647i | ||||
\(109\) | −10.8066 | + | 10.8066i | −1.03509 | + | 1.03509i | −0.0357265 | + | 0.999362i | \(0.511375\pi\) |
−0.999362 | + | 0.0357265i | \(0.988625\pi\) | |||||||
\(110\) | 0.564462 | + | 16.4804i | 0.0538193 | + | 1.57134i | ||||
\(111\) | 5.77134 | + | 3.01978i | 0.547791 | + | 0.286625i | ||||
\(112\) | −0.972064 | + | 2.38752i | −0.0918514 | + | 0.225599i | ||||
\(113\) | −5.23197 | + | 3.02068i | −0.492183 | + | 0.284162i | −0.725479 | − | 0.688244i | \(-0.758382\pi\) |
0.233297 | + | 0.972406i | \(0.425049\pi\) | |||||||
\(114\) | 6.16641 | − | 12.8366i | 0.577537 | − | 1.20225i | ||||
\(115\) | 15.8483 | − | 4.24655i | 1.47787 | − | 0.395993i | ||||
\(116\) | −8.79679 | + | 3.01581i | −0.816761 | + | 0.280011i | ||||
\(117\) | −5.78385 | + | 2.07770i | −0.534717 | + | 0.192083i | ||||
\(118\) | 0.722990 | + | 0.167425i | 0.0665566 | + | 0.0154127i | ||||
\(119\) | −1.70723 | − | 0.985668i | −0.156501 | − | 0.0903560i | ||||
\(120\) | −1.41765 | − | 9.75980i | −0.129414 | − | 0.890944i | ||||
\(121\) | 19.5278 | − | 11.2744i | 1.77525 | − | 1.02494i | ||||
\(122\) | 4.21079 | − | 1.28429i | 0.381227 | − | 0.116274i | ||||
\(123\) | −2.50629 | − | 2.30629i | −0.225985 | − | 0.207951i | ||||
\(124\) | −0.283591 | + | 0.190733i | −0.0254672 | + | 0.0171283i | ||||
\(125\) | 8.46600 | + | 8.46600i | 0.757222 | + | 0.757222i | ||||
\(126\) | −2.71540 | + | 0.320001i | −0.241907 | + | 0.0285079i | ||||
\(127\) | 5.90485i | 0.523971i | 0.965072 | + | 0.261985i | \(0.0843772\pi\) | ||||
−0.965072 | + | 0.261985i | \(0.915623\pi\) | |||||||
\(128\) | −2.68556 | − | 10.9903i | −0.237372 | − | 0.971419i | ||||
\(129\) | 0.789144 | + | 1.24446i | 0.0694802 | + | 0.109569i | ||||
\(130\) | −2.74152 | + | 5.14772i | −0.240447 | + | 0.451485i | ||||
\(131\) | −1.55900 | − | 0.417733i | −0.136211 | − | 0.0364975i | 0.190070 | − | 0.981771i | \(-0.439129\pi\) |
−0.326280 | + | 0.945273i | \(0.605795\pi\) | |||||||
\(132\) | −16.1699 | + | 11.8793i | −1.40741 | + | 1.03396i | ||||
\(133\) | −3.61906 | + | 0.969725i | −0.313813 | + | 0.0840859i | ||||
\(134\) | 3.10681 | + | 0.719454i | 0.268387 | + | 0.0621513i | ||||
\(135\) | 8.33878 | − | 6.31555i | 0.717688 | − | 0.543556i | ||||
\(136\) | 8.60634 | − | 0.887091i | 0.737988 | − | 0.0760674i | ||||
\(137\) | −5.55314 | + | 9.61831i | −0.474436 | + | 0.821748i | −0.999572 | − | 0.0292708i | \(-0.990681\pi\) |
0.525135 | + | 0.851019i | \(0.324015\pi\) | |||||||
\(138\) | 15.1448 | + | 13.0075i | 1.28921 | + | 1.10727i | ||||
\(139\) | 11.1674 | + | 2.99230i | 0.947207 | + | 0.253803i | 0.699177 | − | 0.714949i | \(-0.253550\pi\) |
0.248030 | + | 0.968752i | \(0.420217\pi\) | |||||||
\(140\) | −1.70491 | + | 1.95598i | −0.144091 | + | 0.165311i | ||||
\(141\) | −3.04620 | + | 13.6053i | −0.256536 | + | 1.14577i | ||||
\(142\) | 21.6442 | − | 0.741325i | 1.81634 | − | 0.0622106i | ||||
\(143\) | 11.8656 | 0.992250 | ||||||||
\(144\) | 8.83231 | − | 8.12344i | 0.736026 | − | 0.676954i | ||||
\(145\) | −9.36038 | −0.777337 | ||||||||
\(146\) | −13.1980 | + | 0.452037i | −1.09227 | + | 0.0374109i | ||||
\(147\) | −8.39246 | − | 7.72274i | −0.692198 | − | 0.636961i | ||||
\(148\) | 5.66979 | + | 4.94201i | 0.466053 | + | 0.406231i | ||||
\(149\) | 21.2808 | + | 5.70216i | 1.74339 | + | 0.467139i | 0.983195 | − | 0.182558i | \(-0.0584378\pi\) |
0.760193 | + | 0.649698i | \(0.225104\pi\) | |||||||
\(150\) | −0.429200 | + | 2.28050i | −0.0350441 | + | 0.186202i | ||||
\(151\) | −8.13154 | + | 14.0842i | −0.661735 | + | 1.14616i | 0.318425 | + | 0.947948i | \(0.396846\pi\) |
−0.980160 | + | 0.198210i | \(0.936487\pi\) | |||||||
\(152\) | 10.3741 | − | 12.7585i | 0.841454 | − | 1.03485i | ||||
\(153\) | 5.23197 | + | 7.53920i | 0.422980 | + | 0.609508i | ||||
\(154\) | 5.14283 | + | 1.19094i | 0.414421 | + | 0.0959689i | ||||
\(155\) | −0.332284 | + | 0.0890353i | −0.0266897 | + | 0.00715149i | ||||
\(156\) | −7.05356 | + | 0.779097i | −0.564737 | + | 0.0623777i | ||||
\(157\) | −22.9837 | − | 6.15846i | −1.83430 | − | 0.491499i | −0.835942 | − | 0.548817i | \(-0.815078\pi\) |
−0.998356 | + | 0.0573183i | \(0.981745\pi\) | |||||||
\(158\) | 7.24854 | − | 13.6105i | 0.576663 | − | 1.08280i | ||||
\(159\) | 3.69941 | − | 7.07023i | 0.293382 | − | 0.560705i | ||||
\(160\) | 1.03049 | − | 11.3412i | 0.0814674 | − | 0.896600i | ||||
\(161\) | − | 5.25246i | − | 0.413952i | ||||||
\(162\) | 12.0688 | + | 4.04272i | 0.948216 | + | 0.317626i | ||||
\(163\) | −11.4188 | − | 11.4188i | −0.894390 | − | 0.894390i | 0.100543 | − | 0.994933i | \(-0.467942\pi\) |
−0.994933 | + | 0.100543i | \(0.967942\pi\) | |||||||
\(164\) | −2.19485 | − | 3.26342i | −0.171389 | − | 0.254830i | ||||
\(165\) | −19.2741 | + | 6.03265i | −1.50049 | + | 0.469641i | ||||
\(166\) | −17.3127 | + | 5.28035i | −1.34372 | + | 0.409834i | ||||
\(167\) | 0.427233 | − | 0.246663i | 0.0330603 | − | 0.0190874i | −0.483379 | − | 0.875411i | \(-0.660591\pi\) |
0.516439 | + | 0.856324i | \(0.327257\pi\) | |||||||
\(168\) | −3.13538 | − | 0.370283i | −0.241900 | − | 0.0285679i | ||||
\(169\) | −7.62393 | − | 4.40168i | −0.586456 | − | 0.338591i | ||||
\(170\) | 8.48417 | + | 1.96471i | 0.650706 | + | 0.150686i | ||||
\(171\) | 17.1636 | + | 3.10075i | 1.31253 | + | 0.237120i | ||||
\(172\) | 0.551814 | + | 1.60958i | 0.0420754 | + | 0.122729i | ||||
\(173\) | 19.8154 | − | 5.30952i | 1.50654 | − | 0.403675i | 0.591254 | − | 0.806486i | \(-0.298633\pi\) |
0.915284 | + | 0.402810i | \(0.131967\pi\) | |||||||
\(174\) | −6.42500 | − | 9.40411i | −0.487078 | − | 0.712923i | ||||
\(175\) | 0.528733 | − | 0.305264i | 0.0399685 | − | 0.0230758i | ||||
\(176\) | −21.3509 | + | 8.99552i | −1.60938 | + | 0.678063i | ||||
\(177\) | 0.0377401 | + | 0.908126i | 0.00283672 | + | 0.0682590i | ||||
\(178\) | −0.187214 | − | 5.46602i | −0.0140323 | − | 0.409696i | ||||
\(179\) | 7.49467 | − | 7.49467i | 0.560178 | − | 0.560178i | −0.369180 | − | 0.929358i | \(-0.620361\pi\) |
0.929358 | + | 0.369180i | \(0.120361\pi\) | |||||||
\(180\) | 11.0615 | − | 4.85168i | 0.824474 | − | 0.361623i | ||||
\(181\) | 0.879477 | + | 0.879477i | 0.0653710 | + | 0.0653710i | 0.739036 | − | 0.673665i | \(-0.235281\pi\) |
−0.673665 | + | 0.739036i | \(0.735281\pi\) | |||||||
\(182\) | 1.36463 | + | 1.27424i | 0.101153 | + | 0.0944533i | ||||
\(183\) | 2.88740 | + | 4.55337i | 0.213443 | + | 0.336595i | ||||
\(184\) | 13.5124 | + | 18.6769i | 0.996145 | + | 1.37688i | ||||
\(185\) | 3.78532 | + | 6.55636i | 0.278302 | + | 0.482033i | ||||
\(186\) | −0.317533 | − | 0.272722i | −0.0232826 | − | 0.0199970i | ||||
\(187\) | −4.58567 | − | 17.1140i | −0.335337 | − | 1.25150i | ||||
\(188\) | −7.07670 | + | 14.4602i | −0.516122 | + | 1.05462i | ||||
\(189\) | −1.26198 | − | 3.10179i | −0.0917954 | − | 0.225622i | ||||
\(190\) | 14.0426 | − | 8.76171i | 1.01876 | − | 0.635641i | ||||
\(191\) | −3.97558 | + | 6.88590i | −0.287663 | + | 0.498246i | −0.973251 | − | 0.229743i | \(-0.926211\pi\) |
0.685589 | + | 0.727989i | \(0.259545\pi\) | |||||||
\(192\) | 12.1015 | − | 6.74934i | 0.873351 | − | 0.487092i | ||||
\(193\) | −2.95444 | − | 5.11723i | −0.212665 | − | 0.368346i | 0.739883 | − | 0.672736i | \(-0.234881\pi\) |
−0.952548 | + | 0.304389i | \(0.901548\pi\) | |||||||
\(194\) | −18.3002 | − | 9.74609i | −1.31388 | − | 0.699729i | ||||
\(195\) | −6.97042 | − | 1.56066i | −0.499162 | − | 0.111761i | ||||
\(196\) | −7.34959 | − | 10.9277i | −0.524970 | − | 0.780553i | ||||
\(197\) | −11.6691 | + | 11.6691i | −0.831390 | + | 0.831390i | −0.987707 | − | 0.156317i | \(-0.950038\pi\) |
0.156317 | + | 0.987707i | \(0.450038\pi\) | |||||||
\(198\) | −19.2906 | − | 15.2233i | −1.37093 | − | 1.08187i | ||||
\(199\) | 0.633451 | 0.0449041 | 0.0224521 | − | 0.999748i | \(-0.492853\pi\) | ||||
0.0224521 | + | 0.999748i | \(0.492853\pi\) | |||||||
\(200\) | −1.09478 | + | 2.44568i | −0.0774125 | + | 0.172936i | ||||
\(201\) | 0.162175 | + | 3.90237i | 0.0114390 | + | 0.275252i | ||||
\(202\) | 3.30071 | − | 1.00671i | 0.232237 | − | 0.0708321i | ||||
\(203\) | −0.775555 | + | 2.89441i | −0.0544333 | + | 0.203148i | ||||
\(204\) | 3.84968 | + | 9.87239i | 0.269532 | + | 0.691205i | ||||
\(205\) | −1.02457 | − | 3.82376i | −0.0715592 | − | 0.267063i | ||||
\(206\) | −4.80541 | + | 2.99828i | −0.334809 | + | 0.208900i | ||||
\(207\) | −10.4263 | + | 22.1163i | −0.724676 | + | 1.53719i | ||||
\(208\) | −8.13050 | − | 1.02041i | −0.563749 | − | 0.0707525i | ||||
\(209\) | −29.1628 | − | 16.8372i | −2.01723 | − | 1.16465i | ||||
\(210\) | −2.86450 | − | 1.37605i | −0.197670 | − | 0.0949562i | ||||
\(211\) | 5.54263 | − | 20.6854i | 0.381570 | − | 1.42404i | −0.461932 | − | 0.886915i | \(-0.652844\pi\) |
0.843503 | − | 0.537125i | \(-0.180490\pi\) | |||||||
\(212\) | 6.05425 | − | 6.94582i | 0.415808 | − | 0.477041i | ||||
\(213\) | 7.92286 | + | 25.3133i | 0.542866 | + | 1.73444i | ||||
\(214\) | 2.67616 | − | 2.86598i | 0.182938 | − | 0.195914i | ||||
\(215\) | 1.71270i | 0.116805i | ||||||||
\(216\) | 12.4670 | + | 7.78294i | 0.848271 | + | 0.529562i | ||||
\(217\) | 0.110126i | 0.00747582i | ||||||||
\(218\) | −15.7971 | − | 14.7508i | −1.06991 | − | 0.999050i | ||||
\(219\) | −4.83111 | − | 15.4352i | −0.326456 | − | 1.04302i | ||||
\(220\) | −23.2658 | + | 1.59560i | −1.56858 | + | 0.107576i | ||||
\(221\) | 1.62187 | − | 6.05289i | 0.109099 | − | 0.407162i | ||||
\(222\) | −3.98873 | + | 8.30331i | −0.267706 | + | 0.557282i | ||||
\(223\) | −13.1779 | − | 7.60824i | −0.882455 | − | 0.509485i | −0.0109877 | − | 0.999940i | \(-0.503498\pi\) |
−0.871467 | + | 0.490454i | \(0.836831\pi\) | |||||||
\(224\) | −3.42153 | − | 1.25832i | −0.228611 | − | 0.0840752i | ||||
\(225\) | −2.83227 | + | 0.235815i | −0.188818 | + | 0.0157210i | ||||
\(226\) | −4.52266 | − | 7.24856i | −0.300843 | − | 0.482167i | ||||
\(227\) | 3.90123 | + | 14.5596i | 0.258934 | + | 0.966353i | 0.965860 | + | 0.259066i | \(0.0834146\pi\) |
−0.706926 | + | 0.707287i | \(0.749919\pi\) | |||||||
\(228\) | 18.4415 | + | 8.09410i | 1.22132 | + | 0.536045i | ||||
\(229\) | −2.78483 | + | 10.3931i | −0.184026 | + | 0.686796i | 0.810810 | + | 0.585309i | \(0.199027\pi\) |
−0.994837 | + | 0.101487i | \(0.967640\pi\) | |||||||
\(230\) | 6.76921 | + | 22.1942i | 0.446349 | + | 1.46344i | ||||
\(231\) | 0.268456 | + | 6.45976i | 0.0176631 | + | 0.425021i | ||||
\(232\) | −4.68834 | − | 12.2873i | −0.307805 | − | 0.806698i | ||||
\(233\) | −2.05717 | −0.134770 | −0.0673848 | − | 0.997727i | \(-0.521466\pi\) | ||||
−0.0673848 | + | 0.997727i | \(0.521466\pi\) | |||||||
\(234\) | −3.21657 | − | 8.07423i | −0.210274 | − | 0.527829i | ||||
\(235\) | −11.4584 | + | 11.4584i | −0.747462 | + | 0.747462i | ||||
\(236\) | −0.201637 | + | 1.02997i | −0.0131254 | + | 0.0670452i | ||||
\(237\) | 18.4297 | + | 4.12638i | 1.19714 | + | 0.268037i | ||||
\(238\) | 1.31048 | − | 2.46068i | 0.0849459 | − | 0.159502i | ||||
\(239\) | 4.07795 | + | 7.06322i | 0.263781 | + | 0.456882i | 0.967243 | − | 0.253851i | \(-0.0816971\pi\) |
−0.703463 | + | 0.710732i | \(0.748364\pi\) | |||||||
\(240\) | 13.7257 | − | 2.47615i | 0.885992 | − | 0.159835i | ||||
\(241\) | 5.82747 | − | 10.0935i | 0.375380 | − | 0.650178i | −0.615003 | − | 0.788524i | \(-0.710845\pi\) |
0.990384 | + | 0.138346i | \(0.0441787\pi\) | |||||||
\(242\) | 16.8804 | + | 27.0545i | 1.08511 | + | 1.73913i | ||||
\(243\) | −0.843360 | + | 15.5656i | −0.0541015 | + | 0.998535i | ||||
\(244\) | 2.01903 | + | 5.88930i | 0.129255 | + | 0.377024i | ||||
\(245\) | −3.43084 | − | 12.8041i | −0.219188 | − | 0.818021i | ||||
\(246\) | 3.13835 | − | 3.65400i | 0.200094 | − | 0.232971i | ||||
\(247\) | −5.95500 | − | 10.3144i | −0.378907 | − | 0.656287i | ||||
\(248\) | −0.283307 | − | 0.391590i | −0.0179900 | − | 0.0248660i | ||||
\(249\) | −11.8715 | − | 18.7212i | −0.752328 | − | 1.18641i | ||||
\(250\) | −11.5559 | + | 12.3755i | −0.730858 | + | 0.782698i | ||||
\(251\) | −0.0658814 | − | 0.0658814i | −0.00415840 | − | 0.00415840i | 0.705025 | − | 0.709183i | \(-0.250936\pi\) |
−0.709183 | + | 0.705025i | \(0.750936\pi\) | |||||||
\(252\) | −0.583734 | − | 3.82241i | −0.0367718 | − | 0.240789i | ||||
\(253\) | 33.3806 | − | 33.3806i | 2.09862 | − | 2.09862i | ||||
\(254\) | −8.34582 | + | 0.285849i | −0.523664 | + | 0.0179357i | ||||
\(255\) | 0.442874 | + | 10.6567i | 0.0277338 | + | 0.667350i | ||||
\(256\) | 15.4036 | − | 4.32776i | 0.962724 | − | 0.270485i | ||||
\(257\) | 14.7849 | − | 8.53605i | 0.922255 | − | 0.532464i | 0.0379016 | − | 0.999281i | \(-0.487933\pi\) |
0.884354 | + | 0.466817i | \(0.154599\pi\) | |||||||
\(258\) | −1.72071 | + | 1.17561i | −0.107126 | + | 0.0731901i | ||||
\(259\) | 2.34099 | − | 0.627265i | 0.145462 | − | 0.0389764i | ||||
\(260\) | −7.40843 | − | 3.62562i | −0.459451 | − | 0.224851i | ||||
\(261\) | 9.01107 | − | 10.6479i | 0.557771 | − | 0.659087i | ||||
\(262\) | 0.514948 | − | 2.22369i | 0.0318136 | − | 0.137380i | ||||
\(263\) | −6.39765 | − | 3.69369i | −0.394496 | − | 0.227762i | 0.289610 | − | 0.957145i | \(-0.406474\pi\) |
−0.684106 | + | 0.729382i | \(0.739808\pi\) | |||||||
\(264\) | −17.5728 | − | 22.2793i | −1.08153 | − | 1.37119i | ||||
\(265\) | 8.03192 | − | 4.63723i | 0.493397 | − | 0.284863i | ||||
\(266\) | −1.54579 | − | 5.06819i | −0.0947785 | − | 0.310751i | ||||
\(267\) | 6.39260 | − | 2.00084i | 0.391221 | − | 0.122449i | ||||
\(268\) | −0.866467 | + | 4.42594i | −0.0529279 | + | 0.270357i | ||||
\(269\) | −7.77076 | − | 7.77076i | −0.473792 | − | 0.473792i | 0.429348 | − | 0.903139i | \(-0.358744\pi\) |
−0.903139 | + | 0.429348i | \(0.858744\pi\) | |||||||
\(270\) | 9.32997 | + | 11.4802i | 0.567804 | + | 0.698661i | ||||
\(271\) | 15.0480i | 0.914103i | 0.889440 | + | 0.457052i | \(0.151095\pi\) | ||||
−0.889440 | + | 0.457052i | \(0.848905\pi\) | |||||||
\(272\) | 1.67043 | + | 12.1211i | 0.101284 | + | 0.734951i | ||||
\(273\) | −1.06012 | + | 2.02608i | −0.0641615 | + | 0.122624i | ||||
\(274\) | −13.8632 | − | 7.38310i | −0.837507 | − | 0.446030i | ||||
\(275\) | 5.30024 | + | 1.42020i | 0.319617 | + | 0.0856410i | ||||
\(276\) | −17.6515 | + | 22.0350i | −1.06250 | + | 1.32635i | ||||
\(277\) | 13.5306 | − | 3.62552i | 0.812976 | − | 0.217836i | 0.171702 | − | 0.985149i | \(-0.445073\pi\) |
0.641273 | + | 0.767313i | \(0.278407\pi\) | |||||||
\(278\) | −3.68866 | + | 15.9287i | −0.221231 | + | 0.955340i | ||||
\(279\) | 0.218602 | − | 0.463702i | 0.0130874 | − | 0.0277611i | ||||
\(280\) | −2.84709 | − | 2.31501i | −0.170146 | − | 0.138348i | ||||
\(281\) | 7.72501 | − | 13.3801i | 0.460835 | − | 0.798190i | −0.538167 | − | 0.842838i | \(-0.680883\pi\) |
0.999003 | + | 0.0446477i | \(0.0142165\pi\) | |||||||
\(282\) | −19.3770 | − | 3.64683i | −1.15388 | − | 0.217165i | ||||
\(283\) | 6.38640 | + | 1.71123i | 0.379632 | + | 0.101722i | 0.443588 | − | 0.896231i | \(-0.353705\pi\) |
−0.0639565 | + | 0.997953i | \(0.520372\pi\) | |||||||
\(284\) | 2.09556 | + | 30.5557i | 0.124348 | + | 1.81315i | ||||
\(285\) | 14.9171 | + | 13.7267i | 0.883612 | + | 0.813100i | ||||
\(286\) | 0.574403 | + | 16.7706i | 0.0339651 | + | 0.991668i | ||||
\(287\) | −1.26727 | −0.0748046 | ||||||||
\(288\) | 11.9091 | + | 12.0902i | 0.701751 | + | 0.712422i | ||||
\(289\) | 7.64299 | 0.449588 | ||||||||
\(290\) | −0.453128 | − | 13.2298i | −0.0266086 | − | 0.776882i | ||||
\(291\) | 5.54816 | − | 24.7799i | 0.325239 | − | 1.45262i | ||||
\(292\) | −1.27780 | − | 18.6319i | −0.0747779 | − | 1.09035i | ||||
\(293\) | 15.6194 | + | 4.18520i | 0.912493 | + | 0.244502i | 0.684374 | − | 0.729131i | \(-0.260076\pi\) |
0.228119 | + | 0.973633i | \(0.426742\pi\) | |||||||
\(294\) | 10.5089 | − | 12.2356i | 0.612893 | − | 0.713596i | ||||
\(295\) | −0.528201 | + | 0.914872i | −0.0307531 | + | 0.0532659i | ||||
\(296\) | −6.71050 | + | 8.25283i | −0.390040 | + | 0.479686i | ||||
\(297\) | 11.6924 | − | 27.7327i | 0.678462 | − | 1.60922i | ||||
\(298\) | −7.02917 | + | 30.3539i | −0.407189 | + | 1.75836i | ||||
\(299\) | 16.1274 | − | 4.32134i | 0.932674 | − | 0.249909i | ||||
\(300\) | −3.24401 | − | 0.496228i | −0.187293 | − | 0.0286497i | ||||
\(301\) | 0.529601 | + | 0.141906i | 0.0305257 | + | 0.00817934i | ||||
\(302\) | −20.3001 | − | 10.8112i | −1.16814 | − | 0.622114i | ||||
\(303\) | 2.26334 | + | 3.56925i | 0.130026 | + | 0.205048i | ||||
\(304\) | 18.5349 | + | 14.0450i | 1.06305 | + | 0.805538i | ||||
\(305\) | 6.26661i | 0.358825i | ||||||||
\(306\) | −10.4025 | + | 7.75976i | −0.594672 | + | 0.443596i | ||||
\(307\) | −7.76011 | − | 7.76011i | −0.442893 | − | 0.442893i | 0.450090 | − | 0.892983i | \(-0.351392\pi\) |
−0.892983 | + | 0.450090i | \(0.851392\pi\) | |||||||
\(308\) | −1.43430 | + | 7.32645i | −0.0817268 | + | 0.417463i | ||||
\(309\) | −5.10467 | − | 4.69732i | −0.290395 | − | 0.267221i | ||||
\(310\) | −0.141927 | − | 0.465335i | −0.00806090 | − | 0.0264293i | ||||
\(311\) | −3.77550 | + | 2.17978i | −0.214089 | + | 0.123604i | −0.603210 | − | 0.797582i | \(-0.706112\pi\) |
0.389121 | + | 0.921186i | \(0.372779\pi\) | |||||||
\(312\) | −1.44262 | − | 9.93168i | −0.0816723 | − | 0.562271i | ||||
\(313\) | 2.20758 | + | 1.27455i | 0.124780 | + | 0.0720416i | 0.561091 | − | 0.827754i | \(-0.310382\pi\) |
−0.436311 | + | 0.899796i | \(0.643715\pi\) | |||||||
\(314\) | 7.59166 | − | 32.7829i | 0.428422 | − | 1.85005i | ||||
\(315\) | 0.691938 | − | 3.83009i | 0.0389863 | − | 0.215801i | ||||
\(316\) | 19.5878 | + | 9.58610i | 1.10190 | + | 0.539260i | ||||
\(317\) | −18.3388 | + | 4.91388i | −1.03001 | + | 0.275991i | −0.733969 | − | 0.679183i | \(-0.762334\pi\) |
−0.296044 | + | 0.955174i | \(0.595667\pi\) | |||||||
\(318\) | 10.1720 | + | 4.88643i | 0.570419 | + | 0.274017i | ||||
\(319\) | −23.3235 | + | 13.4658i | −1.30586 | + | 0.753941i | ||||
\(320\) | 16.0794 | + | 0.907462i | 0.898863 | + | 0.0507287i | ||||
\(321\) | 4.25515 | + | 2.22646i | 0.237500 | + | 0.124269i | ||||
\(322\) | 7.42375 | − | 0.254267i | 0.413709 | − | 0.0141698i | ||||
\(323\) | −12.5752 | + | 12.5752i | −0.699701 | + | 0.699701i | ||||
\(324\) | −5.12967 | + | 17.2536i | −0.284982 | + | 0.958533i | ||||
\(325\) | 1.37230 | + | 1.37230i | 0.0761216 | + | 0.0761216i | ||||
\(326\) | 15.5864 | − | 16.6919i | 0.863250 | − | 0.924481i | ||||
\(327\) | 12.2721 | − | 23.4541i | 0.678648 | − | 1.29702i | ||||
\(328\) | 4.50622 | − | 3.26015i | 0.248814 | − | 0.180012i | ||||
\(329\) | 2.59377 | + | 4.49254i | 0.142999 | + | 0.247681i | ||||
\(330\) | −9.45950 | − | 26.9497i | −0.520728 | − | 1.48353i | ||||
\(331\) | 5.58231 | + | 20.8335i | 0.306831 | + | 1.14511i | 0.931357 | + | 0.364106i | \(0.118626\pi\) |
−0.624526 | + | 0.781004i | \(0.714708\pi\) | |||||||
\(332\) | −8.30125 | − | 24.2139i | −0.455590 | − | 1.32891i | ||||
\(333\) | −11.1022 | − | 2.00571i | −0.608398 | − | 0.109912i | ||||
\(334\) | 0.369312 | + | 0.591904i | 0.0202078 | + | 0.0323875i | ||||
\(335\) | −2.26977 | + | 3.93135i | −0.124011 | + | 0.214793i | ||||
\(336\) | 0.371571 | − | 4.44942i | 0.0202709 | − | 0.242736i | ||||
\(337\) | 8.17417 | + | 14.1581i | 0.445275 | + | 0.771239i | 0.998071 | − | 0.0620772i | \(-0.0197725\pi\) |
−0.552796 | + | 0.833317i | \(0.686439\pi\) | |||||||
\(338\) | 5.85220 | − | 10.9886i | 0.318318 | − | 0.597703i | ||||
\(339\) | 7.08552 | − | 7.69997i | 0.384832 | − | 0.418205i | ||||
\(340\) | −2.36618 | + | 12.0865i | −0.128324 | + | 0.655483i | ||||
\(341\) | −0.699874 | + | 0.699874i | −0.0379003 | + | 0.0379003i | ||||
\(342\) | −3.55168 | + | 24.4088i | −0.192053 | + | 1.31988i | ||||
\(343\) | −8.75470 | −0.472709 | ||||||||
\(344\) | −2.24825 | + | 0.857844i | −0.121217 | + | 0.0462518i | ||||
\(345\) | −23.9999 | + | 15.2189i | −1.29211 | + | 0.819358i | ||||
\(346\) | 8.46364 | + | 27.7498i | 0.455008 | + | 1.49184i | ||||
\(347\) | 2.09454 | − | 7.81694i | 0.112441 | − | 0.419635i | −0.886642 | − | 0.462457i | \(-0.846968\pi\) |
0.999083 | + | 0.0428214i | \(0.0136347\pi\) | |||||||
\(348\) | 12.9806 | − | 9.53625i | 0.695833 | − | 0.511196i | ||||
\(349\) | 4.31180 | + | 16.0919i | 0.230806 | + | 0.861378i | 0.979995 | + | 0.199022i | \(0.0637767\pi\) |
−0.749189 | + | 0.662356i | \(0.769557\pi\) | |||||||
\(350\) | 0.457051 | + | 0.732526i | 0.0244304 | + | 0.0391551i | ||||
\(351\) | 8.48563 | − | 6.42677i | 0.452930 | − | 0.343035i | ||||
\(352\) | −13.7477 | − | 29.7416i | −0.732755 | − | 1.58523i | ||||
\(353\) | −11.3077 | − | 6.52852i | −0.601849 | − | 0.347478i | 0.167919 | − | 0.985801i | \(-0.446295\pi\) |
−0.769769 | + | 0.638323i | \(0.779628\pi\) | |||||||
\(354\) | −1.28171 | + | 0.0973029i | −0.0681219 | + | 0.00517159i | ||||
\(355\) | −7.97897 | + | 29.7779i | −0.423480 | + | 1.58045i | ||||
\(356\) | 7.71653 | − | 0.529211i | 0.408975 | − | 0.0280481i | ||||
\(357\) | 3.33196 | + | 0.746018i | 0.176346 | + | 0.0394835i | ||||
\(358\) | 10.9557 | + | 10.2300i | 0.579025 | + | 0.540675i | ||||
\(359\) | 21.1411i | 1.11578i | 0.829914 | + | 0.557892i | \(0.188390\pi\) | ||||
−0.829914 | + | 0.557892i | \(0.811610\pi\) | |||||||
\(360\) | 7.39277 | + | 15.3993i | 0.389633 | + | 0.811612i | ||||
\(361\) | 14.8003i | 0.778966i | ||||||||
\(362\) | −1.20047 | + | 1.28561i | −0.0630951 | + | 0.0675704i | ||||
\(363\) | −26.4460 | + | 28.7394i | −1.38805 | + | 1.50843i | ||||
\(364\) | −1.73494 | + | 1.99043i | −0.0909354 | + | 0.104327i | ||||
\(365\) | 4.86533 | − | 18.1576i | 0.254663 | − | 0.950415i | ||||
\(366\) | −6.29589 | + | 4.30143i | −0.329091 | + | 0.224839i | ||||
\(367\) | 27.7535 | + | 16.0235i | 1.44872 | + | 0.836419i | 0.998405 | − | 0.0564512i | \(-0.0179785\pi\) |
0.450315 | + | 0.892870i | \(0.351312\pi\) | |||||||
\(368\) | −25.7436 | + | 20.0023i | −1.34198 | + | 1.04269i | ||||
\(369\) | 5.33604 | + | 2.51556i | 0.277783 | + | 0.130955i | ||||
\(370\) | −9.08341 | + | 5.66749i | −0.472224 | + | 0.294639i | ||||
\(371\) | −0.768436 | − | 2.86784i | −0.0398952 | − | 0.148891i | ||||
\(372\) | 0.370090 | − | 0.461998i | 0.0191883 | − | 0.0239535i | ||||
\(373\) | −0.185580 | + | 0.692592i | −0.00960894 | + | 0.0358611i | −0.970564 | − | 0.240844i | \(-0.922576\pi\) |
0.960955 | + | 0.276705i | \(0.0892425\pi\) | |||||||
\(374\) | 23.9666 | − | 7.30979i | 1.23928 | − | 0.377980i | ||||
\(375\) | −18.3741 | − | 9.61404i | −0.948836 | − | 0.496467i | ||||
\(376\) | −20.7804 | − | 9.30210i | −1.07167 | − | 0.479719i | ||||
\(377\) | −9.52522 | −0.490574 | ||||||||
\(378\) | 4.32293 | − | 1.93382i | 0.222347 | − | 0.0994648i | ||||
\(379\) | −3.65005 | + | 3.65005i | −0.187491 | + | 0.187491i | −0.794610 | − | 0.607120i | \(-0.792325\pi\) |
0.607120 | + | 0.794610i | \(0.292325\pi\) | |||||||
\(380\) | 13.0635 | + | 19.4234i | 0.670141 | + | 0.996400i | ||||
\(381\) | −3.05499 | − | 9.76057i | −0.156512 | − | 0.500049i | ||||
\(382\) | −9.92488 | − | 5.28568i | −0.507801 | − | 0.270439i | ||||
\(383\) | −9.73635 | − | 16.8639i | −0.497504 | − | 0.861703i | 0.502492 | − | 0.864582i | \(-0.332417\pi\) |
−0.999996 | + | 0.00287933i | \(0.999083\pi\) | |||||||
\(384\) | 10.1252 | + | 16.7774i | 0.516701 | + | 0.856166i | ||||
\(385\) | −3.75724 | + | 6.50774i | −0.191487 | + | 0.331665i | ||||
\(386\) | 7.08960 | − | 4.42348i | 0.360851 | − | 0.225149i | ||||
\(387\) | −1.94828 | − | 1.64879i | −0.0990368 | − | 0.0838127i | ||||
\(388\) | 12.8891 | − | 26.3370i | 0.654344 | − | 1.33706i | ||||
\(389\) | 0.0834155 | + | 0.311311i | 0.00422934 | + | 0.0157841i | 0.968008 | − | 0.250918i | \(-0.0807326\pi\) |
−0.963779 | + | 0.266702i | \(0.914066\pi\) | |||||||
\(390\) | 1.86838 | − | 9.92744i | 0.0946093 | − | 0.502695i | ||||
\(391\) | −12.4655 | − | 21.5909i | −0.630407 | − | 1.09190i | ||||
\(392\) | 15.0893 | − | 10.9168i | 0.762126 | − | 0.551381i | ||||
\(393\) | 2.79311 | − | 0.116077i | 0.140894 | − | 0.00585530i | ||||
\(394\) | −17.0579 | − | 15.9281i | −0.859362 | − | 0.802444i | ||||
\(395\) | 15.5215 | + | 15.5215i | 0.780972 | + | 0.780972i | ||||
\(396\) | 20.5825 | − | 28.0021i | 1.03431 | − | 1.40716i | ||||
\(397\) | 3.56364 | − | 3.56364i | 0.178854 | − | 0.178854i | −0.612002 | − | 0.790856i | \(-0.709636\pi\) |
0.790856 | + | 0.612002i | \(0.209636\pi\) | |||||||
\(398\) | 0.0306648 | + | 0.895309i | 0.00153709 | + | 0.0448778i | ||||
\(399\) | 5.48052 | − | 3.47533i | 0.274369 | − | 0.173984i | ||||
\(400\) | −3.50968 | − | 1.42895i | −0.175484 | − | 0.0714474i | ||||
\(401\) | −16.5507 | + | 9.55556i | −0.826503 | + | 0.477182i | −0.852654 | − | 0.522476i | \(-0.825008\pi\) |
0.0261506 | + | 0.999658i | \(0.491675\pi\) | |||||||
\(402\) | −5.50770 | + | 0.418127i | −0.274699 | + | 0.0208543i | ||||
\(403\) | −0.338136 | + | 0.0906033i | −0.0168438 | + | 0.00451327i | ||||
\(404\) | 1.58266 | + | 4.61644i | 0.0787401 | + | 0.229677i | ||||
\(405\) | −10.5163 | + | 14.7537i | −0.522561 | + | 0.733116i | ||||
\(406\) | −4.12846 | − | 0.956041i | −0.204892 | − | 0.0474475i | ||||
\(407\) | 18.8639 | + | 10.8911i | 0.935049 | + | 0.539851i | ||||
\(408\) | −13.7671 | + | 5.91900i | −0.681574 | + | 0.293034i | ||||
\(409\) | −11.7821 | + | 6.80241i | −0.582589 | + | 0.336358i | −0.762161 | − | 0.647387i | \(-0.775862\pi\) |
0.179573 | + | 0.983745i | \(0.442528\pi\) | |||||||
\(410\) | 5.35484 | − | 1.63322i | 0.264457 | − | 0.0806590i | ||||
\(411\) | 4.20298 | − | 18.7719i | 0.207318 | − | 0.925948i | ||||
\(412\) | −4.47035 | − | 6.64675i | −0.220238 | − | 0.327462i | ||||
\(413\) | 0.239132 | + | 0.239132i | 0.0117669 | + | 0.0117669i | ||||
\(414\) | −31.7636 | − | 13.6657i | −1.56110 | − | 0.671632i | ||||
\(415\) | − | 25.7652i | − | 1.26476i | ||||||
\(416\) | 1.04864 | − | 11.5409i | 0.0514137 | − | 0.565840i | ||||
\(417\) | −20.0076 | + | 0.831479i | −0.979775 | + | 0.0407177i | ||||
\(418\) | 22.3856 | − | 42.0334i | 1.09492 | − | 2.05592i | ||||
\(419\) | −7.80143 | − | 2.09039i | −0.381125 | − | 0.102122i | 0.0631698 | − | 0.998003i | \(-0.479879\pi\) |
−0.444295 | + | 0.895881i | \(0.646546\pi\) | |||||||
\(420\) | 1.80621 | − | 4.11526i | 0.0881342 | − | 0.200804i | ||||
\(421\) | 15.3973 | − | 4.12570i | 0.750419 | − | 0.201074i | 0.136715 | − | 0.990610i | \(-0.456345\pi\) |
0.613704 | + | 0.789536i | \(0.289679\pi\) | |||||||
\(422\) | 29.5047 | + | 6.83251i | 1.43627 | + | 0.332601i | ||||
\(423\) | −2.00367 | − | 24.0652i | −0.0974220 | − | 1.17009i | ||||
\(424\) | 10.1102 | + | 8.22075i | 0.490994 | + | 0.399235i | ||||
\(425\) | 1.44895 | − | 2.50965i | 0.0702842 | − | 0.121736i | ||||
\(426\) | −35.3938 | + | 12.4234i | −1.71484 | + | 0.601918i | ||||
\(427\) | 1.93776 | + | 0.519221i | 0.0937747 | + | 0.0251268i | ||||
\(428\) | 4.18028 | + | 3.64370i | 0.202061 | + | 0.176125i | ||||
\(429\) | −19.6135 | + | 6.13889i | −0.946950 | + | 0.296388i | ||||
\(430\) | −2.42071 | + | 0.0829105i | −0.116737 | + | 0.00399830i | ||||
\(431\) | −0.112162 | −0.00540266 | −0.00270133 | − | 0.999996i | \(-0.500860\pi\) | ||||
−0.00270133 | + | 0.999996i | \(0.500860\pi\) | |||||||
\(432\) | −10.3968 | + | 17.9974i | −0.500215 | + | 0.865901i | ||||
\(433\) | 20.7054 | 0.995038 | 0.497519 | − | 0.867453i | \(-0.334244\pi\) | ||||
0.497519 | + | 0.867453i | \(0.334244\pi\) | |||||||
\(434\) | −0.155650 | + | 0.00533109i | −0.00747144 | + | 0.000255901i | ||||
\(435\) | 15.4725 | − | 4.84277i | 0.741849 | − | 0.232193i | ||||
\(436\) | 20.0838 | − | 23.0414i | 0.961841 | − | 1.10348i | ||||
\(437\) | −45.7694 | − | 12.2639i | −2.18945 | − | 0.586661i | ||||
\(438\) | 21.5821 | − | 7.57543i | 1.03123 | − | 0.361968i | ||||
\(439\) | −19.9756 | + | 34.5988i | −0.953384 | + | 1.65131i | −0.215361 | + | 0.976534i | \(0.569093\pi\) |
−0.738023 | + | 0.674776i | \(0.764240\pi\) | |||||||
\(440\) | −3.38148 | − | 32.8063i | −0.161206 | − | 1.56398i | ||||
\(441\) | 17.8680 | + | 8.42350i | 0.850859 | + | 0.401119i | ||||
\(442\) | 8.63358 | + | 1.99931i | 0.410658 | + | 0.0950974i | ||||
\(443\) | 4.52965 | − | 1.21372i | 0.215210 | − | 0.0576654i | −0.149603 | − | 0.988746i | \(-0.547800\pi\) |
0.364813 | + | 0.931081i | \(0.381133\pi\) | |||||||
\(444\) | −11.9289 | − | 5.23565i | −0.566119 | − | 0.248473i | ||||
\(445\) | 7.52010 | + | 2.01501i | 0.356487 | + | 0.0955204i | ||||
\(446\) | 10.1154 | − | 18.9937i | 0.478980 | − | 0.899377i | ||||
\(447\) | −38.1267 | + | 1.58448i | −1.80333 | + | 0.0749432i | ||||
\(448\) | 1.61286 | − | 4.89686i | 0.0762005 | − | 0.231355i | ||||
\(449\) | 0.895625i | 0.0422672i | 0.999777 | + | 0.0211336i | \(0.00672753\pi\) | ||||
−0.999777 | + | 0.0211336i | \(0.993272\pi\) | |||||||
\(450\) | −0.470406 | − | 3.99167i | −0.0221751 | − | 0.188169i | ||||
\(451\) | −8.05379 | − | 8.05379i | −0.379238 | − | 0.379238i | ||||
\(452\) | 10.0261 | − | 6.74316i | 0.471587 | − | 0.317171i | ||||
\(453\) | 6.15448 | − | 27.4879i | 0.289163 | − | 1.29149i | ||||
\(454\) | −20.3894 | + | 6.21875i | −0.956923 | + | 0.291860i | ||||
\(455\) | −2.30167 | + | 1.32887i | −0.107904 | + | 0.0622983i | ||||
\(456\) | −10.5473 | + | 26.4568i | −0.493924 | + | 1.23895i | ||||
\(457\) | −28.9564 | − | 16.7180i | −1.35453 | − | 0.782036i | −0.365646 | − | 0.930754i | \(-0.619152\pi\) |
−0.988880 | + | 0.148719i | \(0.952485\pi\) | |||||||
\(458\) | −14.8243 | − | 3.43291i | −0.692693 | − | 0.160409i | ||||
\(459\) | −12.5489 | − | 9.75525i | −0.585731 | − | 0.455336i | ||||
\(460\) | −31.0413 | + | 10.6419i | −1.44731 | + | 0.496182i | ||||
\(461\) | −4.83893 | + | 1.29659i | −0.225371 | + | 0.0603881i | −0.369738 | − | 0.929136i | \(-0.620552\pi\) |
0.144366 | + | 0.989524i | \(0.453886\pi\) | |||||||
\(462\) | −9.11713 | + | 0.692143i | −0.424167 | + | 0.0322014i | ||||
\(463\) | 16.0584 | − | 9.27134i | 0.746299 | − | 0.430876i | −0.0780562 | − | 0.996949i | \(-0.524871\pi\) |
0.824355 | + | 0.566073i | \(0.191538\pi\) | |||||||
\(464\) | 17.1397 | − | 7.22125i | 0.795689 | − | 0.335238i | ||||
\(465\) | 0.503194 | − | 0.319087i | 0.0233351 | − | 0.0147973i | ||||
\(466\) | −0.0995858 | − | 2.90757i | −0.00461322 | − | 0.134691i | ||||
\(467\) | 13.6565 | − | 13.6565i | 0.631948 | − | 0.631948i | −0.316608 | − | 0.948556i | \(-0.602544\pi\) |
0.948556 | + | 0.316608i | \(0.102544\pi\) | |||||||
\(468\) | 11.2563 | − | 4.93712i | 0.520322 | − | 0.228219i | ||||
\(469\) | 1.02759 | + | 1.02759i | 0.0474497 | + | 0.0474497i | ||||
\(470\) | −16.7498 | − | 15.6404i | −0.772610 | − | 0.721438i | ||||
\(471\) | 41.1777 | − | 1.71127i | 1.89737 | − | 0.0788512i | ||||
\(472\) | −1.46550 | − | 0.235131i | −0.0674552 | − | 0.0108228i | ||||
\(473\) | 2.46389 | + | 4.26758i | 0.113290 | + | 0.196224i | ||||
\(474\) | −4.93999 | + | 26.2481i | −0.226901 | + | 1.20561i | ||||
\(475\) | −1.42551 | − | 5.32008i | −0.0654069 | − | 0.244102i | ||||
\(476\) | 3.54133 | + | 1.73310i | 0.162317 | + | 0.0794363i | ||||
\(477\) | −2.45712 | + | 13.6009i | −0.112504 | + | 0.622741i | ||||
\(478\) | −9.78564 | + | 6.10564i | −0.447585 | + | 0.279265i | ||||
\(479\) | −1.37861 | + | 2.38783i | −0.0629904 | + | 0.109103i | −0.895801 | − | 0.444456i | \(-0.853397\pi\) |
0.832810 | + | 0.553558i | \(0.186730\pi\) | |||||||
\(480\) | 4.16421 | + | 19.2799i | 0.190069 | + | 0.880001i | ||||
\(481\) | 3.85198 | + | 6.67182i | 0.175635 | + | 0.304209i | ||||
\(482\) | 14.5481 | + | 7.74784i | 0.662646 | + | 0.352905i | ||||
\(483\) | 2.71746 | + | 8.68219i | 0.123649 | + | 0.395053i | ||||
\(484\) | −37.4213 | + | 25.1681i | −1.70097 | + | 1.14401i | ||||
\(485\) | 20.8696 | − | 20.8696i | 0.947639 | − | 0.947639i | ||||
\(486\) | −22.0410 | − | 0.438473i | −0.999802 | − | 0.0198895i | ||||
\(487\) | 17.4202 | 0.789383 | 0.394692 | − | 0.918814i | \(-0.370851\pi\) | ||||
0.394692 | + | 0.918814i | \(0.370851\pi\) | |||||||
\(488\) | −8.22610 | + | 3.13876i | −0.372378 | + | 0.142085i | ||||
\(489\) | 24.7828 | + | 12.9673i | 1.12071 | + | 0.586400i | ||||
\(490\) | 17.9310 | − | 5.46893i | 0.810039 | − | 0.247061i | ||||
\(491\) | −4.32873 | + | 16.1550i | −0.195353 | + | 0.729066i | 0.796822 | + | 0.604213i | \(0.206513\pi\) |
−0.992175 | + | 0.124853i | \(0.960154\pi\) | |||||||
\(492\) | 5.31643 | + | 4.25881i | 0.239683 | + | 0.192002i | ||||
\(493\) | 3.68120 | + | 13.7384i | 0.165793 | + | 0.618747i | ||||
\(494\) | 14.2899 | − | 8.91601i | 0.642932 | − | 0.401150i | ||||
\(495\) | 28.7385 | − | 19.9436i | 1.29170 | − | 0.896400i | ||||
\(496\) | 0.539753 | − | 0.419379i | 0.0242356 | − | 0.0188307i | ||||
\(497\) | 8.54681 | + | 4.93450i | 0.383377 | + | 0.221343i | ||||
\(498\) | 25.8855 | − | 17.6853i | 1.15996 | − | 0.792499i | ||||
\(499\) | −8.60246 | + | 32.1048i | −0.385099 | + | 1.43721i | 0.452911 | + | 0.891556i | \(0.350385\pi\) |
−0.838011 | + | 0.545654i | \(0.816281\pi\) | |||||||
\(500\) | −18.0508 | − | 15.7338i | −0.807257 | − | 0.703638i | ||||
\(501\) | −0.578590 | + | 0.628765i | −0.0258495 | + | 0.0280912i | ||||
\(502\) | 0.0899265 | − | 0.0963051i | 0.00401362 | − | 0.00429831i | ||||
\(503\) | 5.04620i | 0.224999i | 0.993652 | + | 0.112499i | \(0.0358857\pi\) | ||||
−0.993652 | + | 0.112499i | \(0.964114\pi\) | |||||||
\(504\) | 5.37428 | − | 1.01008i | 0.239389 | − | 0.0449926i | ||||
\(505\) | 4.91221i | 0.218590i | ||||||||
\(506\) | 48.7956 | + | 45.5637i | 2.16923 | + | 2.02555i | ||||
\(507\) | 14.8795 | + | 3.33148i | 0.660821 | + | 0.147956i | ||||
\(508\) | −0.808028 | − | 11.7820i | −0.0358505 | − | 0.522743i | ||||
\(509\) | −10.6205 | + | 39.6362i | −0.470745 | + | 1.75684i | 0.166360 | + | 0.986065i | \(0.446799\pi\) |
−0.637105 | + | 0.770777i | \(0.719868\pi\) | |||||||
\(510\) | −15.0406 | + | 1.14183i | −0.666009 | + | 0.0505613i | ||||
\(511\) | −5.21158 | − | 3.00891i | −0.230547 | − | 0.133106i | ||||
\(512\) | 6.86247 | + | 21.5617i | 0.303281 | + | 0.952901i | ||||
\(513\) | −29.9752 | + | 3.75445i | −1.32344 | + | 0.165763i | ||||
\(514\) | 12.7805 | + | 20.4835i | 0.563722 | + | 0.903489i | ||||
\(515\) | −2.08679 | − | 7.78801i | −0.0919549 | − | 0.343181i | ||||
\(516\) | −1.74488 | − | 2.37511i | −0.0768142 | − | 0.104558i | ||||
\(517\) | −12.0671 | + | 45.0351i | −0.530711 | + | 1.98064i | ||||
\(518\) | 0.999892 | + | 3.27835i | 0.0439327 | + | 0.144042i | ||||
\(519\) | −30.0074 | + | 19.0284i | −1.31718 | + | 0.835254i | ||||
\(520\) | 4.76576 | − | 10.6465i | 0.208992 | − | 0.466879i | ||||
\(521\) | −10.9553 | −0.479963 | −0.239981 | − | 0.970778i | \(-0.577141\pi\) | ||||
−0.239981 | + | 0.970778i | \(0.577141\pi\) | |||||||
\(522\) | 15.4858 | + | 12.2207i | 0.677794 | + | 0.534884i | ||||
\(523\) | 8.18896 | − | 8.18896i | 0.358078 | − | 0.358078i | −0.505026 | − | 0.863104i | \(-0.668517\pi\) |
0.863104 | + | 0.505026i | \(0.168517\pi\) | |||||||
\(524\) | 3.16786 | + | 0.620173i | 0.138389 | + | 0.0270924i | ||||
\(525\) | −0.716049 | + | 0.778145i | −0.0312509 | + | 0.0339610i | ||||
\(526\) | 4.91090 | − | 9.22115i | 0.214125 | − | 0.402061i | ||||
\(527\) | 0.261358 | + | 0.452685i | 0.0113849 | + | 0.0197193i | ||||
\(528\) | 30.6385 | − | 25.9157i | 1.33337 | − | 1.12783i | ||||
\(529\) | 21.7133 | − | 37.6085i | 0.944056 | − | 1.63515i | ||||
\(530\) | 6.94301 | + | 11.1277i | 0.301585 | + | 0.483357i | ||||
\(531\) | −0.532220 | − | 1.48159i | −0.0230964 | − | 0.0642953i | ||||
\(532\) | 7.08847 | − | 2.43014i | 0.307324 | − | 0.105360i | ||||
\(533\) | −1.04262 | − | 3.89110i | −0.0451607 | − | 0.168542i | ||||
\(534\) | 3.13741 | + | 8.93834i | 0.135769 | + | 0.386800i | ||||
\(535\) | 2.79088 | + | 4.83394i | 0.120660 | + | 0.208989i | ||||
\(536\) | −6.29750 | − | 1.01040i | −0.272011 | − | 0.0436424i | ||||
\(537\) | −8.51100 | + | 16.2660i | −0.367277 | + | 0.701931i | ||||
\(538\) | 10.6069 | − | 11.3593i | 0.457296 | − | 0.489732i | ||||
\(539\) | −26.9686 | − | 26.9686i | −1.16162 | − | 1.16162i | ||||
\(540\) | −15.7742 | + | 13.7426i | −0.678815 | + | 0.591387i | ||||
\(541\) | −16.3651 | + | 16.3651i | −0.703590 | + | 0.703590i | −0.965179 | − | 0.261589i | \(-0.915753\pi\) |
0.261589 | + | 0.965179i | \(0.415753\pi\) | |||||||
\(542\) | −21.2687 | + | 0.728463i | −0.913568 | + | 0.0312902i | ||||
\(543\) | −1.90877 | − | 0.998740i | −0.0819131 | − | 0.0428600i | ||||
\(544\) | −17.0510 | + | 2.94773i | −0.731054 | + | 0.126383i | ||||
\(545\) | 26.6444 | − | 15.3831i | 1.14132 | − | 0.658941i | ||||
\(546\) | −2.91495 | − | 1.40028i | −0.124748 | − | 0.0599264i | ||||
\(547\) | 23.6196 | − | 6.32886i | 1.00990 | − | 0.270603i | 0.284314 | − | 0.958731i | \(-0.408234\pi\) |
0.725589 | + | 0.688129i | \(0.241568\pi\) | |||||||
\(548\) | 9.76406 | − | 19.9514i | 0.417100 | − | 0.852284i | ||||
\(549\) | −7.12857 | − | 6.03276i | −0.304240 | − | 0.257472i | ||||
\(550\) | −1.75070 | + | 7.56003i | −0.0746502 | + | 0.322361i | ||||
\(551\) | 23.4108 | + | 13.5162i | 0.997332 | + | 0.575810i | ||||
\(552\) | −31.9985 | − | 23.8817i | −1.36195 | − | 1.01647i | ||||
\(553\) | 6.08559 | − | 3.51352i | 0.258786 | − | 0.149410i | ||||
\(554\) | 5.77925 | + | 18.9485i | 0.245537 | + | 0.805043i | ||||
\(555\) | −9.64909 | − | 8.87910i | −0.409581 | − | 0.376897i | ||||
\(556\) | −22.6919 | − | 4.44241i | −0.962353 | − | 0.188400i | ||||
\(557\) | −1.55709 | − | 1.55709i | −0.0659760 | − | 0.0659760i | 0.673349 | − | 0.739325i | \(-0.264855\pi\) |
−0.739325 | + | 0.673349i | \(0.764855\pi\) | |||||||
\(558\) | 0.665972 | + | 0.286522i | 0.0281928 | + | 0.0121294i | ||||
\(559\) | 1.74287i | 0.0737154i | ||||||||
\(560\) | 3.13417 | − | 4.13610i | 0.132443 | − | 0.174782i | ||||
\(561\) | 16.4342 | + | 25.9165i | 0.693854 | + | 1.09419i | ||||
\(562\) | 19.2852 | + | 10.2707i | 0.813497 | + | 0.433243i | ||||
\(563\) | −29.3036 | − | 7.85187i | −1.23500 | − | 0.330917i | −0.418475 | − | 0.908228i | \(-0.637435\pi\) |
−0.816524 | + | 0.577311i | \(0.804102\pi\) | |||||||
\(564\) | 4.21634 | − | 27.5637i | 0.177540 | − | 1.16064i | ||||
\(565\) | 11.7476 | − | 3.14775i | 0.494224 | − | 0.132427i | ||||
\(566\) | −2.10947 | + | 9.10927i | −0.0886675 | + | 0.382891i | ||||
\(567\) | 3.69079 | + | 4.47427i | 0.154999 | + | 0.187902i | ||||
\(568\) | −43.0855 | + | 4.44100i | −1.80783 | + | 0.186340i | ||||
\(569\) | 11.5050 | − | 19.9273i | 0.482316 | − | 0.835395i | −0.517478 | − | 0.855696i | \(-0.673129\pi\) |
0.999794 | + | 0.0203012i | \(0.00646252\pi\) | |||||||
\(570\) | −18.6790 | + | 21.7481i | −0.782377 | + | 0.910927i | ||||
\(571\) | −14.1061 | − | 3.77973i | −0.590324 | − | 0.158177i | −0.0487226 | − | 0.998812i | \(-0.515515\pi\) |
−0.541601 | + | 0.840636i | \(0.682182\pi\) | |||||||
\(572\) | −23.6756 | + | 1.62370i | −0.989925 | + | 0.0678905i | ||||
\(573\) | 3.00898 | − | 13.4391i | 0.125702 | − | 0.561425i | ||||
\(574\) | −0.0613475 | − | 1.79114i | −0.00256059 | − | 0.0747608i | ||||
\(575\) | 7.72120 | 0.321996 | ||||||||
\(576\) | −16.5116 | + | 17.4174i | −0.687983 | + | 0.725727i | ||||
\(577\) | −18.7394 | −0.780130 | −0.390065 | − | 0.920787i | \(-0.627548\pi\) | ||||
−0.390065 | + | 0.920787i | \(0.627548\pi\) | |||||||
\(578\) | 0.369991 | + | 10.8025i | 0.0153896 | + | 0.449324i | ||||
\(579\) | 7.53111 | + | 6.93013i | 0.312982 | + | 0.288006i | ||||
\(580\) | 18.6769 | − | 1.28089i | 0.775515 | − | 0.0531860i | ||||
\(581\) | −7.96709 | − | 2.13478i | −0.330531 | − | 0.0885654i | ||||
\(582\) | 35.2921 | + | 6.64211i | 1.46290 | + | 0.275324i | ||||
\(583\) | 13.3422 | − | 23.1094i | 0.552578 | − | 0.957093i | ||||
\(584\) | 26.2722 | − | 2.70798i | 1.08715 | − | 0.112057i | ||||
\(585\) | 12.3294 | − | 1.02655i | 0.509757 | − | 0.0424425i | ||||
\(586\) | −5.15917 | + | 22.2788i | −0.213123 | + | 0.920328i | ||||
\(587\) | −13.9200 | + | 3.72984i | −0.574538 | + | 0.153947i | −0.534377 | − | 0.845246i | \(-0.679454\pi\) |
−0.0401610 | + | 0.999193i | \(0.512787\pi\) | |||||||
\(588\) | 17.8024 | + | 14.2608i | 0.734157 | + | 0.588107i | ||||
\(589\) | 0.959624 | + | 0.257131i | 0.0395406 | + | 0.0105949i | ||||
\(590\) | −1.31864 | − | 0.702264i | −0.0542874 | − | 0.0289117i | ||||
\(591\) | 13.2515 | − | 25.3260i | 0.545095 | − | 1.04177i | ||||
\(592\) | −11.9893 | − | 9.08500i | −0.492756 | − | 0.373391i | ||||
\(593\) | 11.6038i | 0.476512i | 0.971202 | + | 0.238256i | \(0.0765758\pi\) | ||||
−0.971202 | + | 0.238256i | \(0.923424\pi\) | |||||||
\(594\) | 39.7630 | + | 15.1833i | 1.63150 | + | 0.622980i | ||||
\(595\) | 2.80617 | + | 2.80617i | 0.115042 | + | 0.115042i | ||||
\(596\) | −43.2421 | − | 8.46551i | −1.77126 | − | 0.346761i | ||||
\(597\) | −1.04708 | + | 0.327728i | −0.0428541 | + | 0.0134130i | ||||
\(598\) | 6.88843 | + | 22.5851i | 0.281689 | + | 0.923573i | ||||
\(599\) | −2.74819 | + | 1.58667i | −0.112288 | + | 0.0648294i | −0.555092 | − | 0.831789i | \(-0.687317\pi\) |
0.442804 | + | 0.896618i | \(0.353984\pi\) | |||||||
\(600\) | 0.544321 | − | 4.60905i | 0.0222218 | − | 0.188164i | ||||
\(601\) | 29.2389 | + | 16.8811i | 1.19268 | + | 0.688593i | 0.958913 | − | 0.283700i | \(-0.0915620\pi\) |
0.233765 | + | 0.972293i | \(0.424895\pi\) | |||||||
\(602\) | −0.174931 | + | 0.755400i | −0.00712964 | + | 0.0307878i | ||||
\(603\) | −2.28704 | − | 6.36662i | −0.0931354 | − | 0.259269i | ||||
\(604\) | 14.2977 | − | 29.2152i | 0.581763 | − | 1.18875i | ||||
\(605\) | −43.8466 | + | 11.7487i | −1.78262 | + | 0.477651i | ||||
\(606\) | −4.93515 | + | 3.37176i | −0.200477 | + | 0.136968i | ||||
\(607\) | 26.7618 | − | 15.4509i | 1.08623 | − | 0.627133i | 0.153657 | − | 0.988124i | \(-0.450895\pi\) |
0.932569 | + | 0.360991i | \(0.117562\pi\) | |||||||
\(608\) | −18.9538 | + | 26.8769i | −0.768677 | + | 1.09000i | ||||
\(609\) | −0.215506 | − | 5.18564i | −0.00873273 | − | 0.210133i | ||||
\(610\) | −8.85713 | + | 0.303361i | −0.358615 | + | 0.0122827i | ||||
\(611\) | −11.6602 | + | 11.6602i | −0.471720 | + | 0.471720i | ||||
\(612\) | −11.4711 | − | 14.3271i | −0.463692 | − | 0.579139i | ||||
\(613\) | −27.1318 | − | 27.1318i | −1.09584 | − | 1.09584i | −0.994891 | − | 0.100951i | \(-0.967811\pi\) |
−0.100951 | − | 0.994891i | \(-0.532189\pi\) | |||||||
\(614\) | 10.5924 | − | 11.3437i | 0.427473 | − | 0.457794i | ||||
\(615\) | 3.67189 | + | 5.79049i | 0.148065 | + | 0.233495i | ||||
\(616\) | −10.4245 | − | 1.67255i | −0.420016 | − | 0.0673890i | ||||
\(617\) | 4.23780 | + | 7.34009i | 0.170607 | + | 0.295501i | 0.938632 | − | 0.344919i | \(-0.112094\pi\) |
−0.768025 | + | 0.640420i | \(0.778760\pi\) | |||||||
\(618\) | 6.39201 | − | 7.44226i | 0.257124 | − | 0.299372i | ||||
\(619\) | −6.55190 | − | 24.4520i | −0.263343 | − | 0.982810i | −0.963257 | − | 0.268582i | \(-0.913445\pi\) |
0.699914 | − | 0.714228i | \(-0.253222\pi\) | |||||||
\(620\) | 0.650827 | − | 0.223124i | 0.0261379 | − | 0.00896086i | ||||
\(621\) | 5.79205 | − | 41.9520i | 0.232427 | − | 1.68348i | ||||
\(622\) | −3.26364 | − | 5.23071i | −0.130860 | − | 0.209732i | ||||
\(623\) | 1.24616 | − | 2.15841i | 0.0499262 | − | 0.0864748i | ||||
\(624\) | 13.9674 | − | 2.51976i | 0.559145 | − | 0.100871i | ||||
\(625\) | −9.68286 | − | 16.7712i | −0.387315 | − | 0.670848i | ||||
\(626\) | −1.69456 | + | 3.18186i | −0.0677281 | + | 0.127173i | ||||
\(627\) | 56.9165 | + | 12.7435i | 2.27302 | + | 0.508925i | ||||
\(628\) | 46.7024 | + | 9.14294i | 1.86363 | + | 0.364843i | ||||
\(629\) | 8.13423 | − | 8.13423i | 0.324333 | − | 0.324333i | ||||
\(630\) | 5.44688 | + | 0.792563i | 0.217009 | + | 0.0315765i | ||||
\(631\) | 32.2960 | 1.28568 | 0.642842 | − | 0.765999i | \(-0.277755\pi\) | ||||
0.642842 | + | 0.765999i | \(0.277755\pi\) | |||||||
\(632\) | −12.6006 | + | 28.1492i | −0.501226 | + | 1.11971i | ||||
\(633\) | 1.54015 | + | 37.0600i | 0.0612153 | + | 1.47300i | ||||
\(634\) | −7.83297 | − | 25.6820i | −0.311087 | − | 1.01996i | ||||
\(635\) | 3.07662 | − | 11.4821i | 0.122092 | − | 0.455654i | ||||
\(636\) | −6.41398 | + | 14.6135i | −0.254331 | + | 0.579465i | ||||
\(637\) | −3.49126 | − | 13.0295i | −0.138329 | − | 0.516249i | ||||
\(638\) | −20.1614 | − | 32.3132i | −0.798199 | − | 1.27929i | ||||
\(639\) | −26.1926 | − | 37.7432i | −1.03616 | − | 1.49310i | ||||
\(640\) | −0.504205 | + | 22.7702i | −0.0199305 | + | 0.900073i | ||||
\(641\) | 27.0376 | + | 15.6102i | 1.06792 | + | 0.616564i | 0.927613 | − | 0.373544i | \(-0.121857\pi\) |
0.140308 | + | 0.990108i | \(0.455191\pi\) | |||||||
\(642\) | −2.94085 | + | 6.12195i | −0.116066 | + | 0.241614i | ||||
\(643\) | −4.88530 | + | 18.2322i | −0.192657 | + | 0.719007i | 0.800204 | + | 0.599728i | \(0.204725\pi\) |
−0.992861 | + | 0.119278i | \(0.961942\pi\) | |||||||
\(644\) | 0.718755 | + | 10.4803i | 0.0283229 | + | 0.412982i | ||||
\(645\) | −0.886101 | − | 2.83106i | −0.0348902 | − | 0.111473i | ||||
\(646\) | −18.3823 | − | 17.1648i | −0.723242 | − | 0.675340i | ||||
\(647\) | − | 25.7862i | − | 1.01376i | −0.862017 | − | 0.506879i | \(-0.830799\pi\) | ||
0.862017 | − | 0.506879i | \(-0.169201\pi\) | |||||||
\(648\) | −24.6343 | − | 6.41497i | −0.967726 | − | 0.252004i | ||||
\(649\) | 3.03948i | 0.119310i | ||||||||
\(650\) | −1.87316 | + | 2.00602i | −0.0734713 | + | 0.0786827i | ||||
\(651\) | −0.0569757 | − | 0.182035i | −0.00223305 | − | 0.00713452i | ||||
\(652\) | 24.3467 | + | 21.2215i | 0.953489 | + | 0.831099i | ||||
\(653\) | −2.62920 | + | 9.81233i | −0.102889 | + | 0.383986i | −0.998097 | − | 0.0616618i | \(-0.980360\pi\) |
0.895208 | + | 0.445648i | \(0.147027\pi\) | |||||||
\(654\) | 33.7438 | + | 16.2098i | 1.31949 | + | 0.633853i | ||||
\(655\) | 2.81386 | + | 1.62458i | 0.109947 | + | 0.0634777i | ||||
\(656\) | 4.82599 | + | 6.21120i | 0.188423 | + | 0.242507i | ||||
\(657\) | 15.9714 | + | 23.0146i | 0.623105 | + | 0.897885i | ||||
\(658\) | −6.22412 | + | 3.88347i | −0.242641 | + | 0.151393i | ||||
\(659\) | 2.84300 | + | 10.6102i | 0.110748 | + | 0.413316i | 0.998934 | − | 0.0461683i | \(-0.0147010\pi\) |
−0.888186 | + | 0.459484i | \(0.848034\pi\) | |||||||
\(660\) | 37.6323 | − | 14.6745i | 1.46484 | − | 0.571205i | ||||
\(661\) | 5.96571 | − | 22.2643i | 0.232039 | − | 0.865982i | −0.747422 | − | 0.664350i | \(-0.768709\pi\) |
0.979461 | − | 0.201633i | \(-0.0646247\pi\) | |||||||
\(662\) | −29.1755 | + | 8.89848i | −1.13394 | + | 0.345849i | ||||
\(663\) | 0.450673 | + | 10.8444i | 0.0175027 | + | 0.421161i | ||||
\(664\) | 33.8216 | − | 12.9050i | 1.31253 | − | 0.500813i | ||||
\(665\) | 7.54261 | 0.292490 | ||||||||
\(666\) | 2.29740 | − | 15.7888i | 0.0890223 | − | 0.611804i | ||||
\(667\) | −26.7966 | + | 26.7966i | −1.03757 | + | 1.03757i | ||||
\(668\) | −0.818710 | + | 0.550633i | −0.0316768 | + | 0.0213046i | ||||
\(669\) | 25.7190 | + | 5.75842i | 0.994352 | + | 0.222633i | ||||
\(670\) | −5.66639 | − | 3.01774i | −0.218912 | − | 0.116586i | ||||
\(671\) | 9.01513 | + | 15.6147i | 0.348025 | + | 0.602797i | ||||
\(672\) | 6.30673 | + | 0.309780i | 0.243287 | + | 0.0119500i | ||||
\(673\) | −0.408559 | + | 0.707645i | −0.0157488 | + | 0.0272777i | −0.873792 | − | 0.486299i | \(-0.838347\pi\) |
0.858044 | + | 0.513577i | \(0.171680\pi\) | |||||||
\(674\) | −19.6151 | + | 12.2386i | −0.755545 | + | 0.471414i | ||||
\(675\) | 4.55967 | − | 1.85513i | 0.175502 | − | 0.0714039i | ||||
\(676\) | 15.8145 | + | 7.73946i | 0.608249 | + | 0.297672i | ||||
\(677\) | 8.56517 | + | 31.9657i | 0.329186 | + | 1.22854i | 0.910036 | + | 0.414529i | \(0.136054\pi\) |
−0.580850 | + | 0.814011i | \(0.697280\pi\) | |||||||
\(678\) | 11.2260 | + | 9.64181i | 0.431133 | + | 0.370292i | ||||
\(679\) | −4.72413 | − | 8.18243i | −0.181295 | − | 0.314013i | ||||
\(680\) | −17.1974 | − | 2.75922i | −0.659491 | − | 0.105811i | ||||
\(681\) | −13.9813 | − | 22.0483i | −0.535765 | − | 0.844891i | ||||
\(682\) | −1.02307 | − | 0.955312i | −0.0391755 | − | 0.0365808i | ||||
\(683\) | 21.1555 | + | 21.1555i | 0.809494 | + | 0.809494i | 0.984557 | − | 0.175063i | \(-0.0560130\pi\) |
−0.175063 | + | 0.984557i | \(0.556013\pi\) | |||||||
\(684\) | −34.6710 | − | 3.83827i | −1.32568 | − | 0.146760i | ||||
\(685\) | 15.8097 | − | 15.8097i | 0.604056 | − | 0.604056i | ||||
\(686\) | −0.423808 | − | 12.3738i | −0.0161810 | − | 0.472432i | ||||
\(687\) | −0.773828 | − | 18.6203i | −0.0295234 | − | 0.710410i | ||||
\(688\) | −1.32130 | − | 3.13611i | −0.0503741 | − | 0.119563i | ||||
\(689\) | 8.17337 | − | 4.71890i | 0.311381 | − | 0.179776i | ||||
\(690\) | −22.6720 | − | 33.1843i | −0.863107 | − | 1.26331i | ||||
\(691\) | −24.5275 | + | 6.57213i | −0.933071 | + | 0.250016i | −0.693164 | − | 0.720780i | \(-0.743784\pi\) |
−0.239908 | + | 0.970796i | \(0.577117\pi\) | |||||||
\(692\) | −38.8114 | + | 13.3057i | −1.47539 | + | 0.505808i | ||||
\(693\) | −3.78583 | − | 10.5389i | −0.143812 | − | 0.400341i | ||||
\(694\) | 11.1497 | + | 2.58198i | 0.423238 | + | 0.0980108i | ||||
\(695\) | −20.1562 | − | 11.6372i | −0.764568 | − | 0.441423i | ||||
\(696\) | 14.1068 | + | 17.8849i | 0.534716 | + | 0.677926i | ||||
\(697\) | −5.20926 | + | 3.00757i | −0.197315 | + | 0.113920i | ||||
\(698\) | −22.5353 | + | 6.87323i | −0.852973 | + | 0.260156i | ||||
\(699\) | 3.40045 | − | 1.06432i | 0.128617 | − | 0.0402561i | ||||
\(700\) | −1.01322 | + | 0.681450i | −0.0382959 | + | 0.0257564i | ||||
\(701\) | −15.7130 | − | 15.7130i | −0.593472 | − | 0.593472i | 0.345096 | − | 0.938568i | \(-0.387847\pi\) |
−0.938568 | + | 0.345096i | \(0.887847\pi\) | |||||||
\(702\) | 9.49428 | + | 11.6823i | 0.358338 | + | 0.440922i | ||||
\(703\) | − | 21.8637i | − | 0.824605i | ||||||
\(704\) | 41.3708 | − | 20.8706i | 1.55922 | − | 0.786589i | ||||
\(705\) | 13.0122 | − | 24.8686i | 0.490068 | − | 0.936607i | ||||
\(706\) | 8.67991 | − | 16.2982i | 0.326673 | − | 0.613391i | ||||
\(707\) | 1.51895 | + | 0.407001i | 0.0571260 | + | 0.0153069i | ||||
\(708\) | −0.199573 | − | 1.80683i | −0.00750040 | − | 0.0679049i | ||||
\(709\) | −4.97496 | + | 1.33304i | −0.186838 | + | 0.0500632i | −0.351025 | − | 0.936366i | \(-0.614167\pi\) |
0.164187 | + | 0.986429i | \(0.447500\pi\) | |||||||
\(710\) | −42.4739 | − | 9.83583i | −1.59402 | − | 0.369132i | ||||
\(711\) | −32.5988 | + | 2.71418i | −1.22255 | + | 0.101790i | ||||
\(712\) | 1.12153 | + | 10.8808i | 0.0420311 | + | 0.407775i | ||||
\(713\) | −0.696366 | + | 1.20614i | −0.0260791 | + | 0.0451704i | ||||
\(714\) | −0.893113 | + | 4.74545i | −0.0334239 | + | 0.177594i | ||||
\(715\) | −23.0729 | − | 6.18236i | −0.862877 | − | 0.231207i | ||||
\(716\) | −13.9286 | + | 15.9798i | −0.520538 | + | 0.597193i | ||||
\(717\) | −10.3950 | − | 9.56552i | −0.388210 | − | 0.357231i | ||||
\(718\) | −29.8805 | + | 1.02342i | −1.11513 | + | 0.0381938i | ||||
\(719\) | −21.0741 | −0.785932 | −0.392966 | − | 0.919553i | \(-0.628551\pi\) | ||||
−0.392966 | + | 0.919553i | \(0.628551\pi\) | |||||||
\(720\) | −21.4072 | + | 11.1943i | −0.797799 | + | 0.417187i | ||||
\(721\) | −2.58110 | −0.0961253 | ||||||||
\(722\) | −20.9186 | + | 0.716472i | −0.778509 | + | 0.0266643i | ||||
\(723\) | −4.41061 | + | 19.6992i | −0.164032 | + | 0.732622i | ||||
\(724\) | −1.87518 | − | 1.63448i | −0.0696906 | − | 0.0607451i | ||||
\(725\) | −4.25483 | − | 1.14008i | −0.158020 | − | 0.0423414i | ||||
\(726\) | −41.9000 | − | 35.9871i | −1.55505 | − | 1.33561i | ||||
\(727\) | 6.94402 | − | 12.0274i | 0.257539 | − | 0.446071i | −0.708043 | − | 0.706169i | \(-0.750422\pi\) |
0.965582 | + | 0.260098i | \(0.0837550\pi\) | |||||||
\(728\) | −2.89723 | − | 2.35578i | −0.107378 | − | 0.0873110i | ||||
\(729\) | −6.65913 | − | 26.1659i | −0.246634 | − | 0.969109i | ||||
\(730\) | 25.8993 | + | 5.99758i | 0.958575 | + | 0.221981i | ||||
\(731\) | 2.51377 | − | 0.673562i | 0.0929751 | − | 0.0249126i | ||||
\(732\) | −6.38435 | − | 8.69028i | −0.235972 | − | 0.321202i | ||||
\(733\) | −33.3201 | − | 8.92809i | −1.23071 | − | 0.329767i | −0.415851 | − | 0.909433i | \(-0.636516\pi\) |
−0.814854 | + | 0.579666i | \(0.803183\pi\) | |||||||
\(734\) | −21.3038 | + | 40.0020i | −0.786338 | + | 1.47650i | ||||
\(735\) | 12.2955 | + | 19.3898i | 0.453527 | + | 0.715203i | ||||
\(736\) | −29.5172 | − | 35.4173i | −1.08802 | − | 1.30550i | ||||
\(737\) | 13.0611i | 0.481113i | ||||||||
\(738\) | −3.29714 | + | 7.66366i | −0.121370 | + | 0.282103i | ||||
\(739\) | −14.5953 | − | 14.5953i | −0.536895 | − | 0.536895i | 0.385721 | − | 0.922616i | \(-0.373953\pi\) |
−0.922616 | + | 0.385721i | \(0.873953\pi\) | |||||||
\(740\) | −8.45007 | − | 12.5640i | −0.310631 | − | 0.461862i | ||||
\(741\) | 15.1798 | + | 13.9684i | 0.557644 | + | 0.513144i | ||||
\(742\) | 4.01617 | − | 1.22493i | 0.147438 | − | 0.0449684i | ||||
\(743\) | 45.2494 | − | 26.1248i | 1.66004 | − | 0.958424i | 0.687347 | − | 0.726330i | \(-0.258775\pi\) |
0.972693 | − | 0.232095i | \(-0.0745580\pi\) | |||||||
\(744\) | 0.670897 | + | 0.500715i | 0.0245963 | + | 0.0183571i | ||||
\(745\) | −38.4099 | − | 22.1760i | −1.40723 | − | 0.812464i | ||||
\(746\) | −0.987883 | − | 0.228768i | −0.0361690 | − | 0.00837577i | ||||
\(747\) | 29.3091 | + | 24.8037i | 1.07237 | + | 0.907520i | ||||
\(748\) | 11.4917 | + | 33.5202i | 0.420180 | + | 1.22562i | ||||
\(749\) | 1.72599 | − | 0.462476i | 0.0630661 | − | 0.0168985i | ||||
\(750\) | 12.6989 | − | 26.4351i | 0.463697 | − | 0.965275i | ||||
\(751\) | 12.4720 | − | 7.20072i | 0.455110 | − | 0.262758i | −0.254876 | − | 0.966974i | \(-0.582035\pi\) |
0.709986 | + | 0.704216i | \(0.248701\pi\) | |||||||
\(752\) | 12.1415 | − | 29.8211i | 0.442754 | − | 1.08746i | ||||
\(753\) | 0.142985 | + | 0.0748154i | 0.00521068 | + | 0.00272642i | ||||
\(754\) | −0.461108 | − | 13.4628i | −0.0167926 | − | 0.490286i | ||||
\(755\) | 23.1503 | − | 23.1503i | 0.842526 | − | 0.842526i | ||||
\(756\) | 2.94250 | + | 6.01634i | 0.107018 | + | 0.218812i | ||||
\(757\) | −18.7302 | − | 18.7302i | −0.680761 | − | 0.680761i | 0.279411 | − | 0.960172i | \(-0.409861\pi\) |
−0.960172 | + | 0.279411i | \(0.909861\pi\) | |||||||
\(758\) | −5.33562 | − | 4.98223i | −0.193799 | − | 0.180963i | ||||
\(759\) | −37.9072 | + | 72.4474i | −1.37594 | + | 2.62967i | ||||
\(760\) | −26.8204 | + | 19.4040i | −0.972877 | + | 0.703856i | ||||
\(761\) | −22.9842 | − | 39.8099i | −0.833178 | − | 1.44311i | −0.895505 | − | 0.445050i | \(-0.853186\pi\) |
0.0623277 | − | 0.998056i | \(-0.480148\pi\) | |||||||
\(762\) | 13.6476 | − | 4.79037i | 0.494399 | − | 0.173537i | ||||
\(763\) | −2.54914 | − | 9.51352i | −0.0922851 | − | 0.344413i | ||||
\(764\) | 6.99024 | − | 14.2835i | 0.252898 | − | 0.516761i | ||||
\(765\) | −6.24552 | − | 17.3862i | −0.225807 | − | 0.628598i | ||||
\(766\) | 23.3638 | − | 14.5776i | 0.844168 | − | 0.526709i | ||||
\(767\) | −0.537503 | + | 0.930983i | −0.0194081 | + | 0.0336159i | ||||
\(768\) | −23.2227 | + | 15.1230i | −0.837977 | + | 0.545705i | ||||
\(769\) | 8.08642 | + | 14.0061i | 0.291604 | + | 0.505072i | 0.974189 | − | 0.225733i | \(-0.0724778\pi\) |
−0.682585 | + | 0.730806i | \(0.739144\pi\) | |||||||
\(770\) | −9.37982 | − | 4.99540i | −0.338025 | − | 0.180022i | ||||
\(771\) | −20.0228 | + | 21.7591i | −0.721102 | + | 0.783636i | ||||
\(772\) | 6.59527 | + | 9.80619i | 0.237369 | + | 0.352933i | ||||
\(773\) | −3.33435 | + | 3.33435i | −0.119928 | + | 0.119928i | −0.764524 | − | 0.644596i | \(-0.777026\pi\) |
0.644596 | + | 0.764524i | \(0.277026\pi\) | |||||||
\(774\) | 2.23606 | − | 2.83349i | 0.0803735 | − | 0.101848i | ||||
\(775\) | −0.161887 | −0.00581514 | ||||||||
\(776\) | 37.8482 | + | 16.9423i | 1.35867 | + | 0.608192i | ||||
\(777\) | −3.54506 | + | 2.24801i | −0.127178 | + | 0.0806468i | ||||
\(778\) | −0.435964 | + | 0.132969i | −0.0156301 | + | 0.00476715i | ||||
\(779\) | −2.95893 | + | 11.0429i | −0.106015 | + | 0.395652i | ||||
\(780\) | 14.1217 | + | 2.16017i | 0.505639 | + | 0.0773464i | ||||
\(781\) | 22.9570 | + | 85.6769i | 0.821468 | + | 3.06576i | ||||
\(782\) | 29.9127 | − | 18.6637i | 1.06968 | − | 0.667414i | ||||
\(783\) | −9.38620 | + | 22.2627i | −0.335435 | + | 0.795605i | ||||
\(784\) | 16.1601 | + | 20.7985i | 0.577146 | + | 0.742805i | ||||
\(785\) | 41.4835 | + | 23.9505i | 1.48061 | + | 0.854831i | ||||
\(786\) | 0.299273 | + | 3.94213i | 0.0106747 | + | 0.140611i | ||||
\(787\) | 0.0125528 | − | 0.0468477i | 0.000447460 | − | 0.00166994i | −0.965702 | − | 0.259654i | \(-0.916392\pi\) |
0.966149 | + | 0.257984i | \(0.0830582\pi\) | |||||||
\(788\) | 21.6867 | − | 24.8804i | 0.772558 | − | 0.886327i | ||||
\(789\) | 12.4862 | + | 2.79562i | 0.444519 | + | 0.0995269i | ||||
\(790\) | −21.1865 | + | 22.6893i | −0.753782 | + | 0.807248i | ||||
\(791\) | − | 3.89338i | − | 0.138433i | ||||||
\(792\) | 40.5741 | + | 27.7355i | 1.44174 | + | 0.985537i | ||||
\(793\) | 6.37697i | 0.226453i | ||||||||
\(794\) | 5.20931 | + | 4.86429i | 0.184872 | + | 0.172627i | ||||
\(795\) | −10.8774 | + | 11.8207i | −0.385782 | + | 0.419237i | ||||
\(796\) | −1.26393 | + | 0.0866823i | −0.0447989 | + | 0.00307237i | ||||
\(797\) | −5.10564 | + | 19.0545i | −0.180851 | + | 0.674945i | 0.814630 | + | 0.579981i | \(0.196940\pi\) |
−0.995481 | + | 0.0949636i | \(0.969727\pi\) | |||||||
\(798\) | 5.17728 | + | 7.57785i | 0.183274 | + | 0.268253i | ||||
\(799\) | 21.3240 | + | 12.3114i | 0.754388 | + | 0.435546i | ||||
\(800\) | 1.84975 | − | 5.02971i | 0.0653987 | − | 0.177827i | ||||
\(801\) | −9.53164 | + | 6.61467i | −0.336784 | + | 0.233718i | ||||
\(802\) | −14.3069 | − | 22.9300i | −0.505194 | − | 0.809685i | ||||
\(803\) | −13.9985 | − | 52.2431i | −0.493996 | − | 1.84362i | ||||
\(804\) | −0.857597 | − | 7.76426i | −0.0302451 | − | 0.273824i | ||||
\(805\) | −2.73671 | + | 10.2135i | −0.0964562 | + | 0.359980i | ||||
\(806\) | −0.144426 | − | 0.473530i | −0.00508720 | − | 0.0166794i | ||||
\(807\) | 16.8652 | + | 8.82453i | 0.593685 | + | 0.310638i | ||||
\(808\) | −6.44819 | + | 2.46038i | −0.226847 | + | 0.0865559i | ||||
\(809\) | 20.7043 | 0.727925 | 0.363963 | − | 0.931414i | \(-0.381424\pi\) | ||||
0.363963 | + | 0.931414i | \(0.381424\pi\) | |||||||
\(810\) | −21.3617 | − | 14.1494i | −0.750574 | − | 0.497160i | ||||
\(811\) | 14.8452 | − | 14.8452i | 0.521285 | − | 0.521285i | −0.396675 | − | 0.917959i | \(-0.629836\pi\) |
0.917959 | + | 0.396675i | \(0.129836\pi\) | |||||||
\(812\) | 1.15140 | − | 5.88138i | 0.0404062 | − | 0.206396i | ||||
\(813\) | −7.78540 | − | 24.8740i | −0.273046 | − | 0.872371i | ||||
\(814\) | −14.4801 | + | 27.1892i | −0.507528 | + | 0.952981i | ||||
\(815\) | 16.2545 | + | 28.1537i | 0.569372 | + | 0.986181i | ||||
\(816\) | −9.03227 | − | 19.1717i | −0.316193 | − | 0.671144i | ||||
\(817\) | 2.47311 | − | 4.28356i | 0.0865232 | − | 0.149863i | ||||
\(818\) | −10.1848 | − | 16.3234i | −0.356103 | − | 0.570733i | ||||
\(819\) | 0.704124 | − | 3.89754i | 0.0246041 | − | 0.136191i | ||||
\(820\) | 2.56759 | + | 7.48939i | 0.0896642 | + | 0.261541i | ||||
\(821\) | −7.48593 | − | 27.9379i | −0.261261 | − | 0.975038i | −0.964500 | − | 0.264084i | \(-0.914930\pi\) |
0.703239 | − | 0.710954i | \(-0.251736\pi\) | |||||||
\(822\) | 26.7353 | + | 5.03170i | 0.932502 | + | 0.175501i | ||||
\(823\) | −21.2527 | − | 36.8108i | −0.740823 | − | 1.28314i | −0.952121 | − | 0.305722i | \(-0.901102\pi\) |
0.211297 | − | 0.977422i | \(-0.432231\pi\) | |||||||
\(824\) | 9.17801 | − | 6.64009i | 0.319731 | − | 0.231318i | ||||
\(825\) | −9.49594 | + | 0.394634i | −0.330606 | + | 0.0137394i | ||||
\(826\) | −0.326409 | + | 0.349561i | −0.0113572 | + | 0.0121628i | ||||
\(827\) | −11.9196 | − | 11.9196i | −0.414485 | − | 0.414485i | 0.468812 | − | 0.883298i | \(-0.344682\pi\) |
−0.883298 | + | 0.468812i | \(0.844682\pi\) | |||||||
\(828\) | 17.7772 | − | 45.5557i | 0.617802 | − | 1.58317i | ||||
\(829\) | 9.25865 | − | 9.25865i | 0.321566 | − | 0.321566i | −0.527801 | − | 0.849368i | \(-0.676983\pi\) |
0.849368 | + | 0.527801i | \(0.176983\pi\) | |||||||
\(830\) | 36.4161 | − | 1.24727i | 1.26402 | − | 0.0432934i | ||||
\(831\) | −20.4900 | + | 12.9932i | −0.710792 | + | 0.450730i | ||||
\(832\) | 16.3625 | + | 0.923443i | 0.567269 | + | 0.0320146i | ||||
\(833\) | −17.4435 | + | 10.0710i | −0.604382 | + | 0.348940i | ||||
\(834\) | −2.14375 | − | 28.2382i | −0.0742319 | − | 0.977807i | ||||
\(835\) | −0.959284 | + | 0.257039i | −0.0331974 | + | 0.00889521i | ||||
\(836\) | 60.4930 | + | 29.6047i | 2.09219 | + | 1.02390i | ||||
\(837\) | −0.121439 | + | 0.879586i | −0.00419755 | + | 0.0304030i | ||||
\(838\) | 2.57686 | − | 11.1276i | 0.0890162 | − | 0.384397i | ||||
\(839\) | −21.0564 | − | 12.1569i | −0.726947 | − | 0.419703i | 0.0903570 | − | 0.995909i | \(-0.471199\pi\) |
−0.817304 | + | 0.576206i | \(0.804533\pi\) | |||||||
\(840\) | 5.90388 | + | 2.35366i | 0.203703 | + | 0.0812090i | ||||
\(841\) | −6.39158 | + | 3.69018i | −0.220399 | + | 0.127248i | ||||
\(842\) | 6.57657 | + | 21.5626i | 0.226644 | + | 0.743097i | ||||
\(843\) | −5.84679 | + | 26.1137i | −0.201374 | + | 0.899403i | ||||
\(844\) | −8.22867 | + | 42.0323i | −0.283242 | + | 1.44681i | ||||
\(845\) | 12.5315 | + | 12.5315i | 0.431096 | + | 0.431096i | ||||
\(846\) | 33.9164 | − | 3.99694i | 1.16607 | − | 0.137418i | ||||
\(847\) | 14.5316i | 0.499313i | ||||||||
\(848\) | −11.1297 | + | 14.6875i | −0.382194 | + | 0.504373i | ||||
\(849\) | −11.4419 | + | 0.475504i | −0.392685 | + | 0.0163193i | ||||
\(850\) | 3.61724 | + | 1.92643i | 0.124070 | + | 0.0660760i | ||||
\(851\) | 29.6059 | + | 7.93286i | 1.01488 | + | 0.271935i | ||||
\(852\) | −19.2725 | − | 49.4237i | −0.660265 | − | 1.69323i | ||||
\(853\) | 1.86281 | − | 0.499139i | 0.0637814 | − | 0.0170902i | −0.226787 | − | 0.973944i | \(-0.572822\pi\) |
0.290569 | + | 0.956854i | \(0.406156\pi\) | |||||||
\(854\) | −0.640053 | + | 2.76393i | −0.0219022 | + | 0.0945798i | ||||
\(855\) | −31.7594 | − | 14.9723i | −1.08615 | − | 0.512041i | ||||
\(856\) | −4.94758 | + | 6.08473i | −0.169105 | + | 0.207972i | ||||
\(857\) | −15.0498 | + | 26.0670i | −0.514090 | + | 0.890431i | 0.485776 | + | 0.874083i | \(0.338537\pi\) |
−0.999866 | + | 0.0163473i | \(0.994796\pi\) | |||||||
\(858\) | −9.62609 | − | 27.4243i | −0.328629 | − | 0.936249i | ||||
\(859\) | 45.9807 | + | 12.3205i | 1.56884 | + | 0.420370i | 0.935449 | − | 0.353462i | \(-0.114996\pi\) |
0.633392 | + | 0.773831i | \(0.281662\pi\) | |||||||
\(860\) | −0.234369 | − | 3.41738i | −0.00799192 | − | 0.116532i | ||||
\(861\) | 2.09477 | − | 0.655647i | 0.0713895 | − | 0.0223444i | ||||
\(862\) | −0.00542968 | − | 0.158528i | −0.000184936 | − | 0.00539950i | ||||
\(863\) | 4.03429 | 0.137329 | 0.0686644 | − | 0.997640i | \(-0.478126\pi\) | ||||
0.0686644 | + | 0.997640i | \(0.478126\pi\) | |||||||
\(864\) | −25.9406 | − | 13.8234i | −0.882516 | − | 0.470281i | ||||
\(865\) | −41.2979 | −1.40417 | ||||||||
\(866\) | 1.00233 | + | 29.2647i | 0.0340606 | + | 0.994455i | ||||
\(867\) | −12.6337 | + | 3.95425i | −0.429062 | + | 0.134293i | ||||
\(868\) | −0.0150698 | − | 0.219735i | −0.000511501 | − | 0.00745830i | ||||
\(869\) | 61.0045 | + | 16.3461i | 2.06944 | + | 0.554504i | ||||
\(870\) | 7.59371 | + | 21.6341i | 0.257451 | + | 0.733466i | ||||
\(871\) | −2.30974 | + | 4.00059i | −0.0782626 | + | 0.135555i | ||||
\(872\) | 33.5386 | + | 27.2708i | 1.13576 | + | 0.923505i | ||||
\(873\) | 3.64937 | + | 43.8310i | 0.123513 | + | 1.48345i | ||||
\(874\) | 15.1179 | − | 65.2835i | 0.511371 | − | 2.20825i | ||||
\(875\) | −7.45296 | + | 1.99702i | −0.251956 | + | 0.0675114i | ||||
\(876\) | 11.7518 | + | 30.1370i | 0.397055 | + | 1.01824i | ||||
\(877\) | 38.9169 | + | 10.4278i | 1.31413 | + | 0.352120i | 0.846776 | − | 0.531949i | \(-0.178540\pi\) |
0.467355 | + | 0.884070i | \(0.345207\pi\) | |||||||
\(878\) | −49.8684 | − | 26.5583i | −1.68298 | − | 0.896300i | ||||
\(879\) | −27.9837 | + | 1.16295i | −0.943868 | + | 0.0392254i | ||||
\(880\) | 46.2043 | − | 6.36746i | 1.55755 | − | 0.214647i | ||||
\(881\) | − | 35.0413i | − | 1.18057i | −0.807195 | − | 0.590285i | \(-0.799015\pi\) | ||
0.807195 | − | 0.590285i | \(-0.200985\pi\) | |||||||
\(882\) | −11.0407 | + | 25.6622i | −0.371759 | + | 0.864091i | ||||
\(883\) | 4.73704 | + | 4.73704i | 0.159414 | + | 0.159414i | 0.782307 | − | 0.622893i | \(-0.214043\pi\) |
−0.622893 | + | 0.782307i | \(0.714043\pi\) | |||||||
\(884\) | −2.40785 | + | 12.2994i | −0.0809847 | + | 0.413672i | ||||
\(885\) | 0.399778 | − | 1.78554i | 0.0134384 | − | 0.0600201i | ||||
\(886\) | 1.93472 | + | 6.34339i | 0.0649984 | + | 0.213110i | ||||
\(887\) | −12.6364 | + | 7.29561i | −0.424288 | + | 0.244963i | −0.696910 | − | 0.717159i | \(-0.745442\pi\) |
0.272623 | + | 0.962121i | \(0.412109\pi\) | |||||||
\(888\) | 6.82253 | − | 17.1135i | 0.228949 | − | 0.574292i | ||||
\(889\) | −3.29558 | − | 1.90270i | −0.110530 | − | 0.0638146i | ||||
\(890\) | −2.48394 | + | 10.7263i | −0.0832618 | + | 0.359548i | ||||
\(891\) | −4.97919 | + | 51.8908i | −0.166809 | + | 1.73841i | ||||
\(892\) | 27.3351 | + | 13.3775i | 0.915246 | + | 0.447913i | ||||
\(893\) | 45.2036 | − | 12.1123i | 1.51268 | − | 0.405322i | ||||
\(894\) | −4.08516 | − | 53.8110i | −0.136628 | − | 1.79971i | ||||
\(895\) | −18.4785 | + | 10.6686i | −0.617669 | + | 0.356612i | ||||
\(896\) | 6.99922 | + | 2.04254i | 0.233828 | + | 0.0682365i | ||||
\(897\) | −24.4225 | + | 15.4869i | −0.815445 | + | 0.517093i | ||||
\(898\) | −1.26586 | + | 0.0433564i | −0.0422424 | + | 0.00144682i | ||||
\(899\) | 0.561832 | − | 0.561832i | 0.0187381 | − | 0.0187381i | ||||
\(900\) | 5.61900 | − | 0.858098i | 0.187300 | − | 0.0286033i | ||||
\(901\) | −9.96490 | − | 9.96490i | −0.331979 | − | 0.331979i | ||||
\(902\) | 10.9932 | − | 11.7730i | 0.366035 | − | 0.391998i | ||||
\(903\) | −0.948836 | + | 0.0394319i | −0.0315753 | + | 0.00131221i | ||||
\(904\) | 10.0160 | + | 13.8443i | 0.333128 | + | 0.460453i | ||||
\(905\) | −1.25193 | − | 2.16840i | −0.0416154 | − | 0.0720801i | ||||
\(906\) | 39.1489 | + | 7.36798i | 1.30064 | + | 0.244785i | ||||
\(907\) | 9.59805 | + | 35.8204i | 0.318698 | + | 1.18940i | 0.920497 | + | 0.390750i | \(0.127784\pi\) |
−0.601799 | + | 0.798648i | \(0.705549\pi\) | |||||||
\(908\) | −9.77652 | − | 28.5171i | −0.324445 | − | 0.946372i | ||||
\(909\) | −5.58787 | − | 4.72889i | −0.185338 | − | 0.156848i | ||||
\(910\) | −1.98962 | − | 3.18881i | −0.0659554 | − | 0.105708i | ||||
\(911\) | −18.5603 | + | 32.1474i | −0.614931 | + | 1.06509i | 0.375465 | + | 0.926837i | \(0.377483\pi\) |
−0.990397 | + | 0.138256i | \(0.955850\pi\) | |||||||
\(912\) | −37.9042 | − | 13.6267i | −1.25513 | − | 0.451225i | ||||
\(913\) | −37.0657 | − | 64.1997i | −1.22670 | − | 2.12470i | ||||
\(914\) | 22.2272 | − | 41.7359i | 0.735211 | − | 1.38050i | ||||
\(915\) | −3.24215 | − | 10.3586i | −0.107182 | − | 0.342443i | ||||
\(916\) | 4.13439 | − | 21.1186i | 0.136604 | − | 0.697778i | ||||
\(917\) | 0.735495 | − | 0.735495i | 0.0242882 | − | 0.0242882i | ||||
\(918\) | 13.1804 | − | 18.2086i | 0.435019 | − | 0.600974i | ||||
\(919\) | −34.5722 | −1.14043 | −0.570215 | − | 0.821495i | \(-0.693140\pi\) | ||||
−0.570215 | + | 0.821495i | \(0.693140\pi\) | |||||||
\(920\) | −16.5438 | − | 43.3581i | −0.545433 | − | 1.42948i | ||||
\(921\) | 16.8421 | + | 8.81243i | 0.554967 | + | 0.290380i | ||||
\(922\) | −2.06683 | − | 6.77650i | −0.0680673 | − | 0.223172i | ||||
\(923\) | −8.11949 | + | 30.3023i | −0.267256 | + | 0.997414i | ||||
\(924\) | −1.41962 | − | 12.8525i | −0.0467019 | − | 0.422816i | ||||
\(925\) | 0.922089 | + | 3.44128i | 0.0303181 | + | 0.113149i | ||||
\(926\) | 13.8814 | + | 22.2479i | 0.456169 | + | 0.731112i | ||||
\(927\) | 10.8681 | + | 5.12355i | 0.356957 | + | 0.168280i | ||||
\(928\) | 11.0361 | + | 23.8754i | 0.362278 | + | 0.783747i | ||||
\(929\) | 52.2313 | + | 30.1558i | 1.71365 | + | 0.989378i | 0.929509 | + | 0.368800i | \(0.120231\pi\) |
0.784145 | + | 0.620578i | \(0.213102\pi\) | |||||||
\(930\) | 0.475352 | + | 0.695760i | 0.0155874 | + | 0.0228149i | ||||
\(931\) | −9.90812 | + | 36.9776i | −0.324726 | + | 1.21189i | ||||
\(932\) | 4.10470 | − | 0.281506i | 0.134454 | − | 0.00922103i | ||||
\(933\) | 5.11305 | − | 5.55646i | 0.167394 | − | 0.181910i | ||||
\(934\) | 19.9630 | + | 18.6408i | 0.653209 | + | 0.609946i | ||||
\(935\) | 35.6678i | 1.16646i | ||||||||
\(936\) | 7.52296 | + | 15.6705i | 0.245896 | + | 0.512205i | ||||
\(937\) | − | 35.3168i | − | 1.15375i | −0.816833 | − | 0.576874i | \(-0.804272\pi\) | ||
0.816833 | − | 0.576874i | \(-0.195728\pi\) | |||||||
\(938\) | −1.40263 | + | 1.50212i | −0.0457976 | + | 0.0490461i | ||||
\(939\) | −4.30849 | − | 0.964660i | −0.140602 | − | 0.0314805i | ||||
\(940\) | 21.2951 | − | 24.4310i | 0.694568 | − | 0.796852i | ||||
\(941\) | 11.2160 | − | 41.8587i | 0.365632 | − | 1.36456i | −0.500931 | − | 0.865487i | \(-0.667009\pi\) |
0.866563 | − | 0.499069i | \(-0.166324\pi\) | |||||||
\(942\) | 4.41206 | + | 58.1171i | 0.143753 | + | 1.89356i | ||||
\(943\) | −13.8797 | − | 8.01342i | −0.451984 | − | 0.260953i | ||||
\(944\) | 0.261387 | − | 2.08270i | 0.00850741 | − | 0.0677861i | ||||
\(945\) | 0.837812 | + | 6.68903i | 0.0272540 | + | 0.217594i | ||||
\(946\) | −5.91246 | + | 3.68902i | −0.192231 | + | 0.119940i | ||||
\(947\) | −13.1777 | − | 49.1797i | −0.428217 | − | 1.59813i | −0.756797 | − | 0.653650i | \(-0.773237\pi\) |
0.328581 | − | 0.944476i | \(-0.393430\pi\) | |||||||
\(948\) | −37.3377 | − | 5.71146i | −1.21267 | − | 0.185500i | ||||
\(949\) | 4.95101 | − | 18.4774i | 0.160717 | − | 0.599802i | ||||
\(950\) | 7.45031 | − | 2.27234i | 0.241720 | − | 0.0737243i | ||||
\(951\) | 27.7714 | − | 17.6105i | 0.900549 | − | 0.571059i | ||||
\(952\) | −2.27810 | + | 5.08916i | −0.0738336 | + | 0.164941i | ||||
\(953\) | 36.4989 | 1.18231 | 0.591157 | − | 0.806556i | \(-0.298671\pi\) | ||||
0.591157 | + | 0.806556i | \(0.298671\pi\) | |||||||
\(954\) | −19.3422 | − | 2.81444i | −0.626227 | − | 0.0911210i | ||||
\(955\) | 11.3184 | − | 11.3184i | 0.366254 | − | 0.366254i | ||||
\(956\) | −9.10333 | − | 13.5353i | −0.294423 | − | 0.437763i | ||||
\(957\) | 31.5863 | − | 34.3255i | 1.02104 | − | 1.10959i | ||||
\(958\) | −3.44166 | − | 1.83292i | −0.111195 | − | 0.0592189i | ||||
\(959\) | −3.57874 | − | 6.19856i | −0.115564 | − | 0.200162i | ||||
\(960\) | −27.0483 | + | 6.81895i | −0.872979 | + | 0.220081i | ||||
\(961\) | −15.4854 | + | 26.8215i | −0.499529 | + | 0.865210i | ||||
\(962\) | −9.24338 | + | 5.76730i | −0.298019 | + | 0.185945i | ||||
\(963\) | −8.18557 | − | 1.47879i | −0.263776 | − | 0.0476534i | ||||
\(964\) | −10.2464 | + | 20.9371i | −0.330015 | + | 0.674338i | ||||
\(965\) | 3.07872 | + | 11.4899i | 0.0991074 | + | 0.369874i | ||||
\(966\) | −12.1397 | + | 4.26112i | −0.390589 | + | 0.137099i | ||||
\(967\) | 8.71394 | + | 15.0930i | 0.280222 | + | 0.485358i | 0.971439 | − | 0.237289i | \(-0.0762587\pi\) |
−0.691218 | + | 0.722647i | \(0.742925\pi\) | |||||||
\(968\) | −37.3838 | − | 51.6723i | −1.20156 | − | 1.66081i | ||||
\(969\) | 14.2804 | − | 27.2925i | 0.458754 | − | 0.876760i | ||||
\(970\) | 30.5070 | + | 28.4865i | 0.979522 | + | 0.914646i | ||||
\(971\) | −28.3062 | − | 28.3062i | −0.908390 | − | 0.908390i | 0.0877520 | − | 0.996142i | \(-0.472032\pi\) |
−0.996142 | + | 0.0877520i | \(0.972032\pi\) | |||||||
\(972\) | −0.447257 | − | 31.1737i | −0.0143458 | − | 0.999897i | ||||
\(973\) | −5.26848 | + | 5.26848i | −0.168900 | + | 0.168900i | ||||
\(974\) | 0.843296 | + | 24.6214i | 0.0270209 | + | 0.788921i | ||||
\(975\) | −2.97837 | − | 1.55839i | −0.0953841 | − | 0.0499086i | ||||
\(976\) | −4.83450 | − | 11.4747i | −0.154749 | − | 0.367296i | ||||
\(977\) | 1.76106 | − | 1.01675i | 0.0563414 | − | 0.0325287i | −0.471565 | − | 0.881831i | \(-0.656311\pi\) |
0.527906 | + | 0.849303i | \(0.322977\pi\) | |||||||
\(978\) | −17.1280 | + | 35.6553i | −0.547694 | + | 1.14013i | ||||
\(979\) | 21.6368 | − | 5.79756i | 0.691515 | − | 0.185291i | ||||
\(980\) | 8.59772 | + | 25.0786i | 0.274644 | + | 0.801107i | ||||
\(981\) | −8.15101 | + | 45.1183i | −0.260242 | + | 1.44052i | ||||
\(982\) | −23.0428 | − | 5.33611i | −0.735326 | − | 0.170282i | ||||
\(983\) | 27.8069 | + | 16.0543i | 0.886903 | + | 0.512054i | 0.872928 | − | 0.487849i | \(-0.162218\pi\) |
0.0139748 | + | 0.999902i | \(0.495552\pi\) | |||||||
\(984\) | −5.76197 | + | 7.72033i | −0.183685 | + | 0.246115i | ||||
\(985\) | 28.7709 | − | 16.6109i | 0.916716 | − | 0.529266i | ||||
\(986\) | −19.2395 | + | 5.86801i | −0.612709 | + | 0.186876i | ||||
\(987\) | −6.61173 | − | 6.08412i | −0.210454 | − | 0.193660i | ||||
\(988\) | 13.2935 | + | 19.7655i | 0.422923 | + | 0.628824i | ||||
\(989\) | 4.90308 | + | 4.90308i | 0.155909 | + | 0.155909i | ||||
\(990\) | 29.5793 | + | 39.6531i | 0.940090 | + | 1.26026i | ||||
\(991\) | 22.8049i | 0.724420i | 0.932096 | + | 0.362210i | \(0.117978\pi\) | ||||
−0.932096 | + | 0.362210i | \(0.882022\pi\) | |||||||
\(992\) | 0.618872 | + | 0.742577i | 0.0196492 | + | 0.0235768i | ||||
\(993\) | −20.0060 | − | 31.5491i | −0.634872 | − | 1.00118i | ||||
\(994\) | −6.56061 | + | 12.3188i | −0.208090 | + | 0.390729i | ||||
\(995\) | −1.23176 | − | 0.330049i | −0.0390494 | − | 0.0104632i | ||||
\(996\) | 26.2493 | + | 35.7301i | 0.831740 | + | 1.13215i | ||||
\(997\) | −35.2150 | + | 9.43584i | −1.11527 | + | 0.298836i | −0.768968 | − | 0.639287i | \(-0.779230\pi\) |
−0.346303 | + | 0.938123i | \(0.612563\pi\) | |||||||
\(998\) | −45.7929 | − | 10.6044i | −1.44955 | − | 0.335677i | ||||
\(999\) | 19.3894 | − | 2.42856i | 0.613454 | − | 0.0768362i |
(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 | 144.2.u.a.11.13 | ✓ | 88 | |
3.2 | odd | 2 | 432.2.v.a.251.10 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.335.20 | 88 | |||
9.4 | even | 3 | 432.2.v.a.395.2 | 88 | |||
9.5 | odd | 6 | inner | 144.2.u.a.59.21 | yes | 88 | |
12.11 | even | 2 | 1728.2.z.a.143.16 | 88 | |||
16.3 | odd | 4 | inner | 144.2.u.a.83.21 | yes | 88 | |
16.13 | even | 4 | 576.2.y.a.47.10 | 88 | |||
36.23 | even | 6 | 576.2.y.a.527.10 | 88 | |||
36.31 | odd | 6 | 1728.2.z.a.719.16 | 88 | |||
48.29 | odd | 4 | 1728.2.z.a.1007.16 | 88 | |||
48.35 | even | 4 | 432.2.v.a.35.2 | 88 | |||
144.13 | even | 12 | 1728.2.z.a.1583.16 | 88 | |||
144.67 | odd | 12 | 432.2.v.a.179.10 | 88 | |||
144.77 | odd | 12 | 576.2.y.a.239.20 | 88 | |||
144.131 | even | 12 | inner | 144.2.u.a.131.13 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.13 | ✓ | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.59.21 | yes | 88 | 9.5 | odd | 6 | inner | |
144.2.u.a.83.21 | yes | 88 | 16.3 | odd | 4 | inner | |
144.2.u.a.131.13 | yes | 88 | 144.131 | even | 12 | inner | |
432.2.v.a.35.2 | 88 | 48.35 | even | 4 | |||
432.2.v.a.179.10 | 88 | 144.67 | odd | 12 | |||
432.2.v.a.251.10 | 88 | 3.2 | odd | 2 | |||
432.2.v.a.395.2 | 88 | 9.4 | even | 3 | |||
576.2.y.a.47.10 | 88 | 16.13 | even | 4 | |||
576.2.y.a.239.20 | 88 | 144.77 | odd | 12 | |||
576.2.y.a.335.20 | 88 | 4.3 | odd | 2 | |||
576.2.y.a.527.10 | 88 | 36.23 | even | 6 | |||
1728.2.z.a.143.16 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.719.16 | 88 | 36.31 | odd | 6 | |||
1728.2.z.a.1007.16 | 88 | 48.29 | odd | 4 | |||
1728.2.z.a.1583.16 | 88 | 144.13 | even | 12 |