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 | 83.21 | ||
Character | \(\chi\) | \(=\) | 144.83 |
Dual form | 144.2.u.a.59.21 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.24823 | − | 0.664769i | 0.882633 | − | 0.470063i | ||||
\(3\) | 0.517369 | + | 1.65298i | 0.298703 | + | 0.954346i | ||||
\(4\) | 1.11616 | − | 1.65957i | 0.558082 | − | 0.829786i | ||||
\(5\) | −0.521033 | + | 1.94452i | −0.233013 | + | 0.869617i | 0.746021 | + | 0.665922i | \(0.231962\pi\) |
−0.979034 | + | 0.203695i | \(0.934705\pi\) | |||||||
\(6\) | 1.74464 | + | 1.71937i | 0.712248 | + | 0.701928i | ||||
\(7\) | −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 | ||||
\(11\) | −1.49911 | − | 5.59477i | −0.452000 | − | 1.68689i | −0.696762 | − | 0.717303i | \(-0.745377\pi\) |
0.244762 | − | 0.969583i | \(-0.421290\pi\) | |||||||
\(12\) | 3.32070 | + | 0.986382i | 0.958604 | + | 0.284744i | ||||
\(13\) | 0.530209 | − | 1.97877i | 0.147054 | − | 0.548811i | −0.852602 | − | 0.522561i | \(-0.824977\pi\) |
0.999655 | − | 0.0262502i | \(-0.00835665\pi\) | |||||||
\(14\) | −0.0311975 | + | 0.910862i | −0.00833787 | + | 0.243438i | ||||
\(15\) | −3.48381 | + | 0.144781i | −0.899517 | + | 0.0373823i | ||||
\(16\) | −1.50835 | − | 3.70471i | −0.377088 | − | 0.926177i | ||||
\(17\) | 3.05892i | 0.741898i | 0.928653 | + | 0.370949i | \(0.120967\pi\) | ||||
−0.928653 | + | 0.370949i | \(0.879033\pi\) | |||||||
\(18\) | −1.93944 | + | 3.77340i | −0.457132 | + | 0.889399i | ||||
\(19\) | 4.11098 | − | 4.11098i | 0.943124 | − | 0.943124i | −0.0553434 | − | 0.998467i | \(-0.517625\pi\) |
0.998467 | + | 0.0553434i | \(0.0176254\pi\) | |||||||
\(20\) | 2.64551 | + | 3.03510i | 0.591555 | + | 0.678669i | ||||
\(21\) | −1.08926 | − | 0.243883i | −0.237696 | − | 0.0532196i | ||||
\(22\) | −5.59047 | − | 5.98700i | −1.19189 | − | 1.27643i | ||||
\(23\) | −7.05832 | + | 4.07512i | −1.47176 | + | 0.849722i | −0.999496 | − | 0.0317341i | \(-0.989897\pi\) |
−0.472266 | + | 0.881456i | \(0.656564\pi\) | |||||||
\(24\) | 4.80072 | − | 0.976265i | 0.979943 | − | 0.199279i | ||||
\(25\) | 0.820436 | + | 0.473679i | 0.164087 | + | 0.0947357i | ||||
\(26\) | −0.653599 | − | 2.82243i | −0.128181 | − | 0.553523i | ||||
\(27\) | −4.10239 | − | 3.18911i | −0.789504 | − | 0.613745i | ||||
\(28\) | 0.566571 | + | 1.15771i | 0.107072 | + | 0.218786i | ||||
\(29\) | 1.20343 | + | 4.49126i | 0.223471 | + | 0.834006i | 0.983011 | + | 0.183545i | \(0.0587574\pi\) |
−0.759540 | + | 0.650460i | \(0.774576\pi\) | |||||||
\(30\) | −4.25236 | + | 2.49665i | −0.776372 | + | 0.455824i | ||||
\(31\) | −0.147988 | + | 0.0854411i | −0.0265795 | + | 0.0153457i | −0.513231 | − | 0.858251i | \(-0.671552\pi\) |
0.486651 | + | 0.873596i | \(0.338218\pi\) | |||||||
\(32\) | −4.34555 | − | 3.62163i | −0.768192 | − | 0.640220i | ||||
\(33\) | 8.47242 | − | 5.37256i | 1.47486 | − | 0.935242i | ||||
\(34\) | 2.03348 | + | 3.81824i | 0.348738 | + | 0.654823i | ||||
\(35\) | −0.917373 | − | 0.917373i | −0.155064 | − | 0.155064i | ||||
\(36\) | 0.0875629 | + | 5.99936i | 0.0145938 | + | 0.999894i | ||||
\(37\) | −2.65918 | + | 2.65918i | −0.437167 | + | 0.437167i | −0.891057 | − | 0.453891i | \(-0.850036\pi\) |
0.453891 | + | 0.891057i | \(0.350036\pi\) | |||||||
\(38\) | 2.39861 | − | 7.86431i | 0.389105 | − | 1.27576i | ||||
\(39\) | 3.54517 | − | 0.147331i | 0.567681 | − | 0.0235918i | ||||
\(40\) | 5.31985 | + | 2.02985i | 0.841143 | + | 0.320948i | ||||
\(41\) | −0.983212 | − | 1.70297i | −0.153552 | − | 0.265960i | 0.778979 | − | 0.627050i | \(-0.215738\pi\) |
−0.932531 | + | 0.361090i | \(0.882405\pi\) | |||||||
\(42\) | −1.52177 | + | 0.419683i | −0.234815 | + | 0.0647585i | ||||
\(43\) | 0.821783 | − | 0.220196i | 0.125321 | − | 0.0335796i | −0.195614 | − | 0.980681i | \(-0.562670\pi\) |
0.320934 | + | 0.947101i | \(0.396003\pi\) | |||||||
\(44\) | −10.9582 | − | 3.75680i | −1.65201 | − | 0.566358i | ||||
\(45\) | −2.04174 | − | 5.68376i | −0.304364 | − | 0.847284i | ||||
\(46\) | −6.10141 | + | 9.77885i | −0.899603 | + | 1.44181i | ||||
\(47\) | −4.02475 | + | 6.97107i | −0.587070 | + | 1.01684i | 0.407544 | + | 0.913186i | \(0.366385\pi\) |
−0.994614 | + | 0.103650i | \(0.966948\pi\) | |||||||
\(48\) | 5.34342 | − | 4.40997i | 0.771256 | − | 0.636525i | ||||
\(49\) | 3.29234 | + | 5.70250i | 0.470334 | + | 0.814643i | ||||
\(50\) | 1.33898 | + | 0.0458608i | 0.189360 | + | 0.00648569i | ||||
\(51\) | −5.05632 | + | 1.58259i | −0.708027 | + | 0.221607i | ||||
\(52\) | −2.69210 | − | 3.08855i | −0.373328 | − | 0.428305i | ||||
\(53\) | 3.25765 | + | 3.25765i | 0.447473 | + | 0.447473i | 0.894514 | − | 0.447041i | \(-0.147522\pi\) |
−0.447041 | + | 0.894514i | \(0.647522\pi\) | |||||||
\(54\) | −7.24075 | − | 1.25361i | −0.985341 | − | 0.170595i | ||||
\(55\) | 11.6602 | 1.57227 | ||||||||
\(56\) | 1.47682 | + | 1.06845i | 0.197348 | + | 0.142777i | ||||
\(57\) | 8.92225 | + | 4.66846i | 1.18178 | + | 0.618352i | ||||
\(58\) | 4.48781 | + | 4.80613i | 0.589278 | + | 0.631076i | ||||
\(59\) | 0.506879 | + | 0.135818i | 0.0659900 | + | 0.0176820i | 0.291663 | − | 0.956521i | \(-0.405791\pi\) |
−0.225673 | + | 0.974203i | \(0.572458\pi\) | |||||||
\(60\) | −3.64824 | + | 5.94324i | −0.470985 | + | 0.767269i | ||||
\(61\) | 3.00682 | − | 0.805675i | 0.384984 | − | 0.103156i | −0.0611358 | − | 0.998129i | \(-0.519472\pi\) |
0.446120 | + | 0.894973i | \(0.352806\pi\) | |||||||
\(62\) | −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 | ||||
\(66\) | 7.00403 | − | 12.3384i | 0.862137 | − | 1.51875i | ||||
\(67\) | −2.17814 | − | 0.583631i | −0.266102 | − | 0.0713019i | 0.123301 | − | 0.992369i | \(-0.460652\pi\) |
−0.389403 | + | 0.921067i | \(0.627319\pi\) | |||||||
\(68\) | 5.07650 | + | 3.41426i | 0.615616 | + | 0.414040i | ||||
\(69\) | −10.3878 | − | 9.55889i | −1.25055 | − | 1.15076i | ||||
\(70\) | −1.75494 | − | 0.535253i | −0.209755 | − | 0.0639750i | ||||
\(71\) | − | 15.3137i | − | 1.81741i | −0.417442 | − | 0.908704i | \(-0.637073\pi\) | ||
0.417442 | − | 0.908704i | \(-0.362927\pi\) | |||||||
\(72\) | 4.09749 | + | 7.43038i | 0.482893 | + | 0.875679i | ||||
\(73\) | − | 9.33784i | − | 1.09291i | −0.837488 | − | 0.546456i | \(-0.815977\pi\) | ||
0.837488 | − | 0.546456i | \(-0.184023\pi\) | |||||||
\(74\) | −1.55153 | + | 5.08701i | −0.180362 | + | 0.591353i | ||||
\(75\) | −0.358511 | + | 1.60123i | −0.0413973 | + | 0.184894i | ||||
\(76\) | −2.23393 | − | 11.4110i | −0.256250 | − | 1.30893i | ||||
\(77\) | 3.60557 | + | 0.966110i | 0.410893 | + | 0.110098i | ||||
\(78\) | 4.32725 | − | 2.54062i | 0.489965 | − | 0.287669i | ||||
\(79\) | 9.44301 | + | 5.45193i | 1.06242 | + | 0.613390i | 0.926101 | − | 0.377275i | \(-0.123139\pi\) |
0.136321 | + | 0.990665i | \(0.456472\pi\) | |||||||
\(80\) | 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 | ||||
\(83\) | 12.3625 | − | 3.31253i | 1.35697 | − | 0.363598i | 0.494264 | − | 0.869312i | \(-0.335437\pi\) |
0.862701 | + | 0.505714i | \(0.168771\pi\) | |||||||
\(84\) | −1.62053 | + | 1.53549i | −0.176815 | + | 0.167536i | ||||
\(85\) | −5.94814 | − | 1.59380i | −0.645167 | − | 0.172872i | ||||
\(86\) | 0.879396 | − | 0.821151i | 0.0948277 | − | 0.0885470i | ||||
\(87\) | −6.80132 | + | 4.31288i | −0.729178 | + | 0.462389i | ||||
\(88\) | −16.1757 | + | 2.59530i | −1.72434 | + | 0.276660i | ||||
\(89\) | 3.86733 | 0.409936 | 0.204968 | − | 0.978769i | \(-0.434291\pi\) | ||||
0.204968 | + | 0.978769i | \(0.434291\pi\) | |||||||
\(90\) | −6.32695 | − | 5.73736i | −0.666919 | − | 0.604771i | ||||
\(91\) | 0.933529 | + | 0.933529i | 0.0978604 | + | 0.0978604i | ||||
\(92\) | −1.11529 | + | 16.2623i | −0.116277 | + | 1.69546i | ||||
\(93\) | −0.217797 | − | 0.200417i | −0.0225845 | − | 0.0207822i | ||||
\(94\) | −0.389669 | + | 11.3770i | −0.0401913 | + | 1.17345i | ||||
\(95\) | 5.85194 | + | 10.1359i | 0.600396 | + | 1.03992i | ||||
\(96\) | 3.73821 | − | 9.05681i | 0.381530 | − | 0.924357i | ||||
\(97\) | −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 | ||||
\(99\) | 13.2641 | + | 11.2251i | 1.33309 | + | 1.12817i | ||||
\(100\) | 1.70184 | − | 0.832868i | 0.170184 | − | 0.0832868i | ||||
\(101\) | −2.35695 | + | 0.631544i | −0.234526 | + | 0.0628410i | −0.374168 | − | 0.927361i | \(-0.622072\pi\) |
0.139642 | + | 0.990202i | \(0.455405\pi\) | |||||||
\(102\) | −5.25941 | + | 5.33673i | −0.520759 | + | 0.528415i | ||||
\(103\) | 2.00255 | + | 3.46852i | 0.197317 | + | 0.341763i | 0.947658 | − | 0.319288i | \(-0.103444\pi\) |
−0.750341 | + | 0.661051i | \(0.770110\pi\) | |||||||
\(104\) | −5.41354 | − | 2.06560i | −0.530841 | − | 0.202549i | ||||
\(105\) | 1.04178 | − | 1.99102i | 0.101667 | − | 0.194303i | ||||
\(106\) | 6.23189 | + | 1.90072i | 0.605294 | + | 0.184614i | ||||
\(107\) | 1.96059 | − | 1.96059i | 0.189537 | − | 0.189537i | −0.605959 | − | 0.795496i | \(-0.707210\pi\) |
0.795496 | + | 0.605959i | \(0.207210\pi\) | |||||||
\(108\) | −9.87150 | + | 3.24862i | −0.949885 | + | 0.312599i | ||||
\(109\) | −10.8066 | − | 10.8066i | −1.03509 | − | 1.03509i | −0.999362 | − | 0.0357265i | \(-0.988625\pi\) |
−0.0357265 | − | 0.999362i | \(-0.511375\pi\) | |||||||
\(110\) | 14.5547 | − | 7.75136i | 1.38773 | − | 0.739063i | ||||
\(111\) | −5.77134 | − | 3.01978i | −0.547791 | − | 0.286625i | ||||
\(112\) | 2.55368 | + | 0.351926i | 0.241300 | + | 0.0332538i | ||||
\(113\) | −5.23197 | + | 3.02068i | −0.492183 | + | 0.284162i | −0.725479 | − | 0.688244i | \(-0.758382\pi\) |
0.233297 | + | 0.972406i | \(0.425049\pi\) | |||||||
\(114\) | 14.2405 | − | 0.103917i | 1.33374 | − | 0.00973272i | ||||
\(115\) | −4.24655 | − | 15.8483i | −0.395993 | − | 1.47787i | ||||
\(116\) | 8.79679 | + | 3.01581i | 0.816761 | + | 0.280011i | ||||
\(117\) | 2.07770 | + | 5.78385i | 0.192083 | + | 0.534717i | ||||
\(118\) | 0.722990 | − | 0.167425i | 0.0665566 | − | 0.0154127i | ||||
\(119\) | −1.70723 | − | 0.985668i | −0.156501 | − | 0.0903560i | ||||
\(120\) | −0.602966 | + | 9.84377i | −0.0550430 | + | 0.898609i | ||||
\(121\) | −19.5278 | + | 11.2744i | −1.77525 | + | 1.02494i | ||||
\(122\) | 3.21762 | − | 3.00451i | 0.291310 | − | 0.272016i | ||||
\(123\) | 2.30629 | − | 2.50629i | 0.207951 | − | 0.225985i | ||||
\(124\) | −0.0233838 | + | 0.340964i | −0.00209993 | + | 0.0306194i | ||||
\(125\) | −8.46600 | + | 8.46600i | −0.757222 | + | 0.757222i | ||||
\(126\) | −1.48104 | − | 2.29832i | −0.131942 | − | 0.204751i | ||||
\(127\) | − | 5.90485i | − | 0.523971i | −0.965072 | − | 0.261985i | \(-0.915623\pi\) | ||
0.965072 | − | 0.261985i | \(-0.0843772\pi\) | |||||||
\(128\) | −10.8607 | + | 3.16941i | −0.959959 | + | 0.280139i | ||||
\(129\) | 0.789144 | + | 1.24446i | 0.0694802 | + | 0.109569i | ||||
\(130\) | 5.82882 | + | 0.199640i | 0.511221 | + | 0.0175096i | ||||
\(131\) | −0.417733 | + | 1.55900i | −0.0364975 | + | 0.136211i | −0.981771 | − | 0.190070i | \(-0.939129\pi\) |
0.945273 | + | 0.326280i | \(0.105795\pi\) | |||||||
\(132\) | 0.540472 | − | 20.0572i | 0.0470420 | − | 1.74576i | ||||
\(133\) | 0.969725 | + | 3.61906i | 0.0840859 | + | 0.313813i | ||||
\(134\) | −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 | −0.525135 | − | 0.851019i | \(-0.675985\pi\) |
0.999572 | + | 0.0292708i | \(0.00931852\pi\) | |||||||
\(138\) | −19.3209 | − | 5.02620i | −1.64470 | − | 0.427858i | ||||
\(139\) | −2.99230 | + | 11.1674i | −0.253803 | + | 0.947207i | 0.714949 | + | 0.699177i | \(0.246450\pi\) |
−0.968752 | + | 0.248030i | \(0.920217\pi\) | |||||||
\(140\) | −2.54639 | + | 0.498507i | −0.215209 | + | 0.0421315i | ||||
\(141\) | −13.6053 | − | 3.04620i | −1.14577 | − | 0.256536i | ||||
\(142\) | −10.1801 | − | 19.1151i | −0.854295 | − | 1.60410i | ||||
\(143\) | −11.8656 | −0.992250 | ||||||||
\(144\) | 10.0541 | + | 6.55096i | 0.837842 | + | 0.545913i | ||||
\(145\) | −9.36038 | −0.777337 | ||||||||
\(146\) | −6.20751 | − | 11.6558i | −0.513737 | − | 0.964640i | ||||
\(147\) | −7.72274 | + | 8.39246i | −0.636961 | + | 0.692198i | ||||
\(148\) | 1.44502 | + | 7.38118i | 0.118780 | + | 0.606730i | ||||
\(149\) | 5.70216 | − | 21.2808i | 0.467139 | − | 1.74339i | −0.182558 | − | 0.983195i | \(-0.558438\pi\) |
0.649698 | − | 0.760193i | \(-0.274896\pi\) | |||||||
\(150\) | 0.616941 | + | 2.23703i | 0.0503730 | + | 0.182653i | ||||
\(151\) | −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 | ||||
\(155\) | −0.0890353 | − | 0.332284i | −0.00715149 | − | 0.0266897i | ||||
\(156\) | 3.71249 | − | 6.04790i | 0.297237 | − | 0.484220i | ||||
\(157\) | 6.15846 | − | 22.9837i | 0.491499 | − | 1.83430i | −0.0573183 | − | 0.998356i | \(-0.518255\pi\) |
0.548817 | − | 0.835942i | \(-0.315078\pi\) | |||||||
\(158\) | 15.4113 | + | 0.527846i | 1.22606 | + | 0.0419932i | ||||
\(159\) | −3.69941 | + | 7.07023i | −0.293382 | + | 0.560705i | ||||
\(160\) | 9.30652 | − | 6.56303i | 0.735745 | − | 0.518853i | ||||
\(161\) | − | 5.25246i | − | 0.413952i | ||||||
\(162\) | −1.67395 | − | 12.6174i | −0.131518 | − | 0.991314i | ||||
\(163\) | −11.4188 | + | 11.4188i | −0.894390 | + | 0.894390i | −0.994933 | − | 0.100543i | \(-0.967942\pi\) |
0.100543 | + | 0.994933i | \(0.467942\pi\) | |||||||
\(164\) | −3.92363 | − | 0.269088i | −0.306384 | − | 0.0210123i | ||||
\(165\) | 6.03265 | + | 19.2741i | 0.469641 | + | 1.50049i | ||||
\(166\) | 13.2293 | − | 12.3530i | 1.02679 | − | 0.958782i | ||||
\(167\) | 0.427233 | − | 0.246663i | 0.0330603 | − | 0.0190874i | −0.483379 | − | 0.875411i | \(-0.660591\pi\) |
0.516439 | + | 0.856324i | \(0.327257\pi\) | |||||||
\(168\) | −1.00206 | + | 2.99393i | −0.0773102 | + | 0.230986i | ||||
\(169\) | 7.62393 | + | 4.40168i | 0.586456 | + | 0.338591i | ||||
\(170\) | −8.48417 | + | 1.96471i | −0.650706 | + | 0.150686i | ||||
\(171\) | −3.10075 | + | 17.1636i | −0.237120 | + | 1.31253i | ||||
\(172\) | 0.551814 | − | 1.60958i | 0.0420754 | − | 0.122729i | ||||
\(173\) | 5.30952 | + | 19.8154i | 0.403675 | + | 1.50654i | 0.806486 | + | 0.591254i | \(0.201367\pi\) |
−0.402810 | + | 0.915284i | \(0.631967\pi\) | |||||||
\(174\) | −5.62256 | + | 9.90478i | −0.426245 | + | 0.750879i | ||||
\(175\) | −0.528733 | + | 0.305264i | −0.0399685 | + | 0.0230758i | ||||
\(176\) | −18.4658 | + | 13.9927i | −1.39191 | + | 1.05474i | ||||
\(177\) | 0.0377401 | + | 0.908126i | 0.00283672 | + | 0.0682590i | ||||
\(178\) | 4.82732 | − | 2.57088i | 0.361823 | − | 0.192696i | ||||
\(179\) | −7.49467 | − | 7.49467i | −0.560178 | − | 0.560178i | 0.369180 | − | 0.929358i | \(-0.379639\pi\) |
−0.929358 | + | 0.369180i | \(0.879639\pi\) | |||||||
\(180\) | −11.7115 | − | 2.95560i | −0.872925 | − | 0.220297i | ||||
\(181\) | 0.879477 | − | 0.879477i | 0.0653710 | − | 0.0653710i | −0.673665 | − | 0.739036i | \(-0.735281\pi\) |
0.739036 | + | 0.673665i | \(0.235281\pi\) | |||||||
\(182\) | 1.78584 | + | 0.544680i | 0.132375 | + | 0.0403743i | ||||
\(183\) | 2.88740 | + | 4.55337i | 0.213443 | + | 0.336595i | ||||
\(184\) | 9.41853 | + | 21.0405i | 0.694343 | + | 1.55113i | ||||
\(185\) | −3.78532 | − | 6.55636i | −0.278302 | − | 0.482033i | ||||
\(186\) | −0.405091 | − | 0.105382i | −0.0297027 | − | 0.00772697i | ||||
\(187\) | 17.1140 | − | 4.58567i | 1.25150 | − | 0.335337i | ||||
\(188\) | 7.07670 | + | 14.4602i | 0.516122 | + | 1.05462i | ||||
\(189\) | 3.10179 | − | 1.26198i | 0.225622 | − | 0.0917954i | ||||
\(190\) | 14.0426 | + | 8.76171i | 1.01876 | + | 0.635641i | ||||
\(191\) | 3.97558 | − | 6.88590i | 0.287663 | − | 0.498246i | −0.685589 | − | 0.727989i | \(-0.740455\pi\) |
0.973251 | + | 0.229743i | \(0.0737885\pi\) | |||||||
\(192\) | −1.35453 | − | 13.7900i | −0.0977546 | − | 0.995211i | ||||
\(193\) | −2.95444 | − | 5.11723i | −0.212665 | − | 0.368346i | 0.739883 | − | 0.672736i | \(-0.234881\pi\) |
−0.952548 | + | 0.304389i | \(0.901548\pi\) | |||||||
\(194\) | −0.709720 | + | 20.7215i | −0.0509549 | + | 1.48771i | ||||
\(195\) | −1.56066 | + | 6.97042i | −0.111761 | + | 0.499162i | ||||
\(196\) | 13.1385 | + | 0.901057i | 0.938464 | + | 0.0643612i | ||||
\(197\) | 11.6691 | + | 11.6691i | 0.831390 | + | 0.831390i | 0.987707 | − | 0.156317i | \(-0.0499620\pi\) |
−0.156317 | + | 0.987707i | \(0.549962\pi\) | |||||||
\(198\) | 24.0187 | + | 5.19399i | 1.70694 | + | 0.369121i | ||||
\(199\) | 0.633451 | 0.0449041 | 0.0224521 | − | 0.999748i | \(-0.492853\pi\) | ||||
0.0224521 | + | 0.999748i | \(0.492853\pi\) | |||||||
\(200\) | 1.57063 | − | 2.17095i | 0.111060 | − | 0.153509i | ||||
\(201\) | −0.162175 | − | 3.90237i | −0.0114390 | − | 0.275252i | ||||
\(202\) | −2.52219 | + | 2.35514i | −0.177461 | + | 0.165707i | ||||
\(203\) | −2.89441 | − | 0.775555i | −0.203148 | − | 0.0544333i | ||||
\(204\) | −3.01727 | + | 10.1578i | −0.211251 | + | 0.711186i | ||||
\(205\) | 3.82376 | − | 1.02457i | 0.267063 | − | 0.0715592i | ||||
\(206\) | 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 | ||||
\(210\) | −0.0231893 | − | 3.17779i | −0.00160021 | − | 0.219288i | ||||
\(211\) | −20.6854 | − | 5.54263i | −1.42404 | − | 0.381570i | −0.537125 | − | 0.843503i | \(-0.680490\pi\) |
−0.886915 | + | 0.461932i | \(0.847156\pi\) | |||||||
\(212\) | 9.04238 | − | 1.77023i | 0.621033 | − | 0.121580i | ||||
\(213\) | 25.3133 | − | 7.92286i | 1.73444 | − | 0.542866i | ||||
\(214\) | 1.14393 | − | 3.75061i | 0.0781975 | − | 0.256386i | ||||
\(215\) | 1.71270i | 0.116805i | ||||||||
\(216\) | −10.1623 | + | 10.6173i | −0.691459 | + | 0.722416i | ||||
\(217\) | − | 0.110126i | − | 0.00747582i | ||||||
\(218\) | −20.6731 | − | 6.30527i | −1.40016 | − | 0.427047i | ||||
\(219\) | 15.4352 | − | 4.83111i | 1.04302 | − | 0.326456i | ||||
\(220\) | 13.0147 | − | 19.3510i | 0.877454 | − | 1.30464i | ||||
\(221\) | 6.05289 | + | 1.62187i | 0.407162 | + | 0.109099i | ||||
\(222\) | −9.21143 | + | 0.0672185i | −0.618231 | + | 0.00451141i | ||||
\(223\) | 13.1779 | + | 7.60824i | 0.882455 | + | 0.509485i | 0.871467 | − | 0.490454i | \(-0.163169\pi\) |
0.0109877 | + | 0.999940i | \(0.496502\pi\) | |||||||
\(224\) | 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 | ||||
\(227\) | 14.5596 | − | 3.90123i | 0.966353 | − | 0.258934i | 0.259066 | − | 0.965860i | \(-0.416585\pi\) |
0.707287 | + | 0.706926i | \(0.249919\pi\) | |||||||
\(228\) | 17.7063 | − | 9.59634i | 1.17263 | − | 0.635533i | ||||
\(229\) | 10.3931 | + | 2.78483i | 0.686796 | + | 0.184026i | 0.585309 | − | 0.810810i | \(-0.300973\pi\) |
0.101487 | + | 0.994837i | \(0.467640\pi\) | |||||||
\(230\) | −15.8362 | − | 16.9594i | −1.04421 | − | 1.11827i | ||||
\(231\) | 0.268456 | + | 6.45976i | 0.0176631 | + | 0.425021i | ||||
\(232\) | 12.9852 | − | 2.08340i | 0.852523 | − | 0.136782i | ||||
\(233\) | 2.05717 | 0.134770 | 0.0673848 | − | 0.997727i | \(-0.478534\pi\) | ||||
0.0673848 | + | 0.997727i | \(0.478534\pi\) | |||||||
\(234\) | 6.43837 | + | 5.83840i | 0.420889 | + | 0.381668i | ||||
\(235\) | −11.4584 | − | 11.4584i | −0.747462 | − | 0.747462i | ||||
\(236\) | 0.791160 | − | 0.689606i | 0.0515001 | − | 0.0448896i | ||||
\(237\) | −4.12638 | + | 18.4297i | −0.268037 | + | 1.19714i | ||||
\(238\) | −2.78625 | − | 0.0954306i | −0.180606 | − | 0.00618585i | ||||
\(239\) | −4.07795 | − | 7.06322i | −0.263781 | − | 0.456882i | 0.703463 | − | 0.710732i | \(-0.251636\pi\) |
−0.967243 | + | 0.253851i | \(0.918303\pi\) | |||||||
\(240\) | 5.79119 | + | 12.6881i | 0.373820 | + | 0.819016i | ||||
\(241\) | 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 | ||||
\(243\) | 15.5656 | + | 0.843360i | 0.998535 | + | 0.0541015i | ||||
\(244\) | 2.01903 | − | 5.88930i | 0.129255 | − | 0.377024i | ||||
\(245\) | −12.8041 | + | 3.43084i | −0.818021 | + | 0.219188i | ||||
\(246\) | 1.21268 | − | 4.66158i | 0.0773176 | − | 0.297212i | ||||
\(247\) | −5.95500 | − | 10.3144i | −0.378907 | − | 0.656287i | ||||
\(248\) | 0.197474 | + | 0.441146i | 0.0125396 | + | 0.0280128i | ||||
\(249\) | 11.8715 | + | 18.7212i | 0.752328 | + | 1.18641i | ||||
\(250\) | −4.93960 | + | 16.1955i | −0.312407 | + | 1.02429i | ||||
\(251\) | 0.0658814 | − | 0.0658814i | 0.00415840 | − | 0.00415840i | −0.705025 | − | 0.709183i | \(-0.749064\pi\) |
0.709183 | + | 0.705025i | \(0.249064\pi\) | |||||||
\(252\) | −3.37654 | − | 1.88429i | −0.212702 | − | 0.118699i | ||||
\(253\) | 33.3806 | + | 33.3806i | 2.09862 | + | 2.09862i | ||||
\(254\) | −3.92536 | − | 7.37062i | −0.246299 | − | 0.462474i | ||||
\(255\) | −0.442874 | − | 10.6567i | −0.0277338 | − | 0.667350i | ||||
\(256\) | −11.4497 | + | 11.1760i | −0.715609 | + | 0.698501i | ||||
\(257\) | 14.7849 | − | 8.53605i | 0.922255 | − | 0.532464i | 0.0379016 | − | 0.999281i | \(-0.487933\pi\) |
0.884354 | + | 0.466817i | \(0.154599\pi\) | |||||||
\(258\) | 1.81232 | + | 1.02878i | 0.112830 | + | 0.0640491i | ||||
\(259\) | −0.627265 | − | 2.34099i | −0.0389764 | − | 0.145462i | ||||
\(260\) | 7.40843 | − | 3.62562i | 0.459451 | − | 0.224851i | ||||
\(261\) | −10.6479 | − | 9.01107i | −0.659087 | − | 0.557771i | ||||
\(262\) | 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 | \(0.739808\pi\) | |||||||
\(264\) | −12.6588 | − | 25.3954i | −0.779095 | − | 1.56298i | ||||
\(265\) | −8.03192 | + | 4.63723i | −0.493397 | + | 0.284863i | ||||
\(266\) | 3.61628 | + | 3.87279i | 0.221729 | + | 0.237456i | ||||
\(267\) | 2.00084 | + | 6.39260i | 0.122449 | + | 0.391221i | ||||
\(268\) | −3.39974 | + | 2.96335i | −0.207672 | + | 0.181016i | ||||
\(269\) | 7.77076 | − | 7.77076i | 0.473792 | − | 0.473792i | −0.429348 | − | 0.903139i | \(-0.641256\pi\) |
0.903139 | + | 0.429348i | \(0.141256\pi\) | |||||||
\(270\) | 6.21035 | − | 13.4266i | 0.377950 | − | 0.817118i | ||||
\(271\) | − | 15.0480i | − | 0.914103i | −0.889440 | − | 0.457052i | \(-0.848905\pi\) | ||
0.889440 | − | 0.457052i | \(-0.151095\pi\) | |||||||
\(272\) | 11.3324 | − | 4.61393i | 0.687129 | − | 0.279761i | ||||
\(273\) | −1.06012 | + | 2.02608i | −0.0641615 | + | 0.122624i | ||||
\(274\) | 0.537645 | − | 15.6974i | 0.0324803 | − | 0.948317i | ||||
\(275\) | 1.42020 | − | 5.30024i | 0.0856410 | − | 0.319617i | ||||
\(276\) | −27.4582 | + | 6.57006i | −1.65279 | + | 0.395471i | ||||
\(277\) | −3.62552 | − | 13.5306i | −0.217836 | − | 0.812976i | −0.985149 | − | 0.171702i | \(-0.945073\pi\) |
0.767313 | − | 0.641273i | \(-0.221593\pi\) | |||||||
\(278\) | 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 | −0.999003 | − | 0.0446477i | \(-0.985783\pi\) |
0.538167 | + | 0.842838i | \(0.319117\pi\) | |||||||
\(282\) | −19.0076 | + | 5.24202i | −1.13188 | + | 0.312158i | ||||
\(283\) | −1.71123 | + | 6.38640i | −0.101722 | + | 0.379632i | −0.997953 | − | 0.0639565i | \(-0.979628\pi\) |
0.896231 | + | 0.443588i | \(0.146295\pi\) | |||||||
\(284\) | −25.4143 | − | 17.0927i | −1.50806 | − | 1.01426i | ||||
\(285\) | −13.7267 | + | 14.9171i | −0.813100 | + | 0.883612i | ||||
\(286\) | −14.8110 | + | 7.88787i | −0.875793 | + | 0.466420i | ||||
\(287\) | 1.26727 | 0.0748046 | ||||||||
\(288\) | 16.9047 | + | 1.49346i | 0.996120 | + | 0.0880030i | ||||
\(289\) | 7.64299 | 0.449588 | ||||||||
\(290\) | −11.6839 | + | 6.22249i | −0.686103 | + | 0.365397i | ||||
\(291\) | −24.7799 | − | 5.54816i | −1.45262 | − | 0.325239i | ||||
\(292\) | −15.4968 | − | 10.4226i | −0.906883 | − | 0.609935i | ||||
\(293\) | 4.18520 | − | 15.6194i | 0.244502 | − | 0.912493i | −0.729131 | − | 0.684374i | \(-0.760076\pi\) |
0.973633 | − | 0.228119i | \(-0.0732577\pi\) | |||||||
\(294\) | −4.06072 | + | 15.6096i | −0.236826 | + | 0.910368i | ||||
\(295\) | −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 | ||||
\(299\) | 4.32134 | + | 16.1274i | 0.249909 | + | 0.932674i | ||||
\(300\) | 2.25719 | + | 2.38221i | 0.130319 | + | 0.137537i | ||||
\(301\) | −0.141906 | + | 0.529601i | −0.00817934 | + | 0.0305257i | ||||
\(302\) | −0.787281 | + | 22.9860i | −0.0453029 | + | 1.32269i | ||||
\(303\) | −2.26334 | − | 3.56925i | −0.130026 | − | 0.205048i | ||||
\(304\) | −21.4308 | − | 9.02918i | −1.22914 | − | 0.517859i | ||||
\(305\) | 6.26661i | 0.358825i | ||||||||
\(306\) | −11.5425 | − | 5.93261i | −0.659843 | − | 0.339145i | ||||
\(307\) | −7.76011 | + | 7.76011i | −0.442893 | + | 0.442893i | −0.892983 | − | 0.450090i | \(-0.851392\pi\) |
0.450090 | + | 0.892983i | \(0.351392\pi\) | |||||||
\(308\) | 5.62774 | − | 4.90536i | 0.320670 | − | 0.279509i | ||||
\(309\) | −4.69732 | + | 5.10467i | −0.267221 | + | 0.290395i | ||||
\(310\) | −0.332029 | − | 0.355580i | −0.0188580 | − | 0.0201956i | ||||
\(311\) | −3.77550 | + | 2.17978i | −0.214089 | + | 0.123604i | −0.603210 | − | 0.797582i | \(-0.706112\pi\) |
0.389121 | + | 0.921186i | \(0.372779\pi\) | |||||||
\(312\) | 0.613584 | − | 10.0171i | 0.0347374 | − | 0.567108i | ||||
\(313\) | −2.20758 | − | 1.27455i | −0.124780 | − | 0.0720416i | 0.436311 | − | 0.899796i | \(-0.356285\pi\) |
−0.561091 | + | 0.827754i | \(0.689618\pi\) | |||||||
\(314\) | −7.59166 | − | 32.7829i | −0.428422 | − | 1.85005i | ||||
\(315\) | 3.83009 | + | 0.691938i | 0.215801 | + | 0.0389863i | ||||
\(316\) | 19.5878 | − | 9.58610i | 1.10190 | − | 0.539260i | ||||
\(317\) | −4.91388 | − | 18.3388i | −0.275991 | − | 1.03001i | −0.955174 | − | 0.296044i | \(-0.904333\pi\) |
0.679183 | − | 0.733969i | \(-0.262334\pi\) | |||||||
\(318\) | 0.0823466 | + | 11.2845i | 0.00461777 | + | 0.632805i | ||||
\(319\) | 23.3235 | − | 13.4658i | 1.30586 | − | 0.753941i | ||||
\(320\) | 7.25379 | − | 14.3789i | 0.405499 | − | 0.803803i | ||||
\(321\) | 4.25515 | + | 2.22646i | 0.237500 | + | 0.124269i | ||||
\(322\) | −3.49167 | − | 6.55629i | −0.194583 | − | 0.365368i | ||||
\(323\) | 12.5752 | + | 12.5752i | 0.699701 | + | 0.699701i | ||||
\(324\) | −10.4771 | − | 14.6366i | −0.582062 | − | 0.813145i | ||||
\(325\) | 1.37230 | − | 1.37230i | 0.0761216 | − | 0.0761216i | ||||
\(326\) | −6.66245 | + | 21.8442i | −0.368999 | + | 1.20984i | ||||
\(327\) | 12.2721 | − | 23.4541i | 0.678648 | − | 1.29702i | ||||
\(328\) | −5.07648 | + | 2.27242i | −0.280302 | + | 0.125474i | ||||
\(329\) | −2.59377 | − | 4.49254i | −0.142999 | − | 0.247681i | ||||
\(330\) | 20.3430 | + | 20.0482i | 1.11984 | + | 1.10362i | ||||
\(331\) | −20.8335 | + | 5.58231i | −1.14511 | + | 0.306831i | −0.781004 | − | 0.624526i | \(-0.785292\pi\) |
−0.364106 | + | 0.931357i | \(0.618626\pi\) | |||||||
\(332\) | 8.30125 | − | 24.2139i | 0.455590 | − | 1.32891i | ||||
\(333\) | 2.00571 | − | 11.1022i | 0.109912 | − | 0.608398i | ||||
\(334\) | 0.369312 | − | 0.591904i | 0.0202078 | − | 0.0323875i | ||||
\(335\) | 2.26977 | − | 3.93135i | 0.124011 | − | 0.214793i | ||||
\(336\) | 0.739472 | + | 4.40325i | 0.0403415 | + | 0.240217i | ||||
\(337\) | 8.17417 | + | 14.1581i | 0.445275 | + | 0.771239i | 0.998071 | − | 0.0620772i | \(-0.0197725\pi\) |
−0.552796 | + | 0.833317i | \(0.686439\pi\) | |||||||
\(338\) | 12.4425 | + | 0.426163i | 0.676785 | + | 0.0231802i | ||||
\(339\) | −7.69997 | − | 7.08552i | −0.418205 | − | 0.384832i | ||||
\(340\) | −9.28413 | + | 8.09242i | −0.503503 | + | 0.438873i | ||||
\(341\) | 0.699874 | + | 0.699874i | 0.0379003 | + | 0.0379003i | ||||
\(342\) | 7.53936 | + | 23.4854i | 0.407682 | + | 1.26995i | ||||
\(343\) | −8.75470 | −0.472709 | ||||||||
\(344\) | −0.381208 | − | 2.37596i | −0.0205534 | − | 0.128103i | ||||
\(345\) | 23.9999 | − | 15.2189i | 1.29211 | − | 0.819358i | ||||
\(346\) | 19.8002 | + | 21.2046i | 1.06446 | + | 1.13997i | ||||
\(347\) | 7.81694 | + | 2.09454i | 0.419635 | + | 0.112441i | 0.462457 | − | 0.886642i | \(-0.346968\pi\) |
−0.0428214 | + | 0.999083i | \(0.513635\pi\) | |||||||
\(348\) | −0.433870 | + | 16.1012i | −0.0232579 | + | 0.863113i | ||||
\(349\) | −16.0919 | + | 4.31180i | −0.861378 | + | 0.230806i | −0.662356 | − | 0.749189i | \(-0.730443\pi\) |
−0.199022 | + | 0.979995i | \(0.563777\pi\) | |||||||
\(350\) | −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 | \(0.779628\pi\) | |||||||
\(354\) | 0.650803 | + | 1.10846i | 0.0345898 | + | 0.0589142i | ||||
\(355\) | 29.7779 | + | 7.97897i | 1.58045 | + | 0.423480i | ||||
\(356\) | 4.31657 | − | 6.41810i | 0.228778 | − | 0.340159i | ||||
\(357\) | 0.746018 | − | 3.33196i | 0.0394835 | − | 0.176346i | ||||
\(358\) | −14.3373 | − | 4.37286i | −0.757751 | − | 0.231113i | ||||
\(359\) | 21.1411i | 1.11578i | 0.829914 | + | 0.557892i | \(0.188390\pi\) | ||||
−0.829914 | + | 0.557892i | \(0.811610\pi\) | |||||||
\(360\) | −16.5835 | + | 4.09618i | −0.874026 | + | 0.215888i | ||||
\(361\) | − | 14.8003i | − | 0.778966i | ||||||
\(362\) | 0.513142 | − | 1.68244i | 0.0269702 | − | 0.0884271i | ||||
\(363\) | −28.7394 | − | 26.4460i | −1.50843 | − | 1.38805i | ||||
\(364\) | 2.59123 | − | 0.507286i | 0.135817 | − | 0.0265890i | ||||
\(365\) | 18.1576 | + | 4.86533i | 0.950415 | + | 0.254663i | ||||
\(366\) | 6.63108 | + | 3.76421i | 0.346612 | + | 0.196758i | ||||
\(367\) | −27.7535 | − | 16.0235i | −1.44872 | − | 0.836419i | −0.450315 | − | 0.892870i | \(-0.648688\pi\) |
−0.998405 | + | 0.0564512i | \(0.982021\pi\) | |||||||
\(368\) | 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 | ||||
\(371\) | −2.86784 | + | 0.768436i | −0.148891 | + | 0.0398952i | ||||
\(372\) | −0.575703 | + | 0.137751i | −0.0298488 | + | 0.00714207i | ||||
\(373\) | 0.692592 | + | 0.185580i | 0.0358611 | + | 0.00960894i | 0.276705 | − | 0.960955i | \(-0.410758\pi\) |
−0.240844 | + | 0.970564i | \(0.577424\pi\) | |||||||
\(374\) | 18.3138 | − | 17.1008i | 0.946983 | − | 0.884262i | ||||
\(375\) | −18.3741 | − | 9.61404i | −0.948836 | − | 0.496467i | ||||
\(376\) | 18.4461 | + | 13.3453i | 0.951283 | + | 0.688233i | ||||
\(377\) | 9.52522 | 0.490574 | ||||||||
\(378\) | 3.03282 | − | 3.63721i | 0.155992 | − | 0.187078i | ||||
\(379\) | −3.65005 | − | 3.65005i | −0.187491 | − | 0.187491i | 0.607120 | − | 0.794610i | \(-0.292325\pi\) |
−0.794610 | + | 0.607120i | \(0.792325\pi\) | |||||||
\(380\) | 23.3529 | + | 1.60158i | 1.19798 | + | 0.0821591i | ||||
\(381\) | 9.76057 | − | 3.05499i | 0.500049 | − | 0.156512i | ||||
\(382\) | 0.384908 | − | 11.2380i | 0.0196936 | − | 0.574988i | ||||
\(383\) | 9.73635 | + | 16.8639i | 0.497504 | + | 0.861703i | 0.999996 | − | 0.00287933i | \(-0.000916521\pi\) |
−0.502492 | + | 0.864582i | \(0.667583\pi\) | |||||||
\(384\) | −10.8580 | − | 16.3127i | −0.554093 | − | 0.832455i | ||||
\(385\) | −3.75724 | + | 6.50774i | −0.191487 | + | 0.331665i | ||||
\(386\) | −7.08960 | − | 4.42348i | −0.360851 | − | 0.225149i | ||||
\(387\) | −1.64879 | + | 1.94828i | −0.0838127 | + | 0.0990368i | ||||
\(388\) | 12.8891 | + | 26.3370i | 0.654344 | + | 1.33706i | ||||
\(389\) | 0.311311 | − | 0.0834155i | 0.0157841 | − | 0.00422934i | −0.250918 | − | 0.968008i | \(-0.580733\pi\) |
0.266702 | + | 0.963779i | \(0.414066\pi\) | |||||||
\(390\) | 2.68565 | + | 9.73818i | 0.135993 | + | 0.493112i | ||||
\(391\) | −12.4655 | − | 21.5909i | −0.630407 | − | 1.09190i | ||||
\(392\) | 16.9989 | − | 7.60933i | 0.858573 | − | 0.384329i | ||||
\(393\) | −2.79311 | + | 0.116077i | −0.140894 | + | 0.00585530i | ||||
\(394\) | 22.3230 | + | 6.80850i | 1.12462 | + | 0.343007i | ||||
\(395\) | −15.5215 | + | 15.5215i | −0.780972 | + | 0.780972i | ||||
\(396\) | 33.4338 | − | 9.48362i | 1.68011 | − | 0.476570i | ||||
\(397\) | 3.56364 | + | 3.56364i | 0.178854 | + | 0.178854i | 0.790856 | − | 0.612002i | \(-0.209636\pi\) |
−0.612002 | + | 0.790856i | \(0.709636\pi\) | |||||||
\(398\) | 0.790693 | − | 0.421098i | 0.0396339 | − | 0.0211077i | ||||
\(399\) | −5.48052 | + | 3.47533i | −0.274369 | + | 0.173984i | ||||
\(400\) | 0.517336 | − | 3.75395i | 0.0258668 | − | 0.187697i | ||||
\(401\) | −16.5507 | + | 9.55556i | −0.826503 | + | 0.477182i | −0.852654 | − | 0.522476i | \(-0.825008\pi\) |
0.0261506 | + | 0.999658i | \(0.491675\pi\) | |||||||
\(402\) | −2.79661 | − | 4.76325i | −0.139482 | − | 0.237569i | ||||
\(403\) | 0.0906033 | + | 0.338136i | 0.00451327 | + | 0.0168438i | ||||
\(404\) | −1.58266 | + | 4.61644i | −0.0787401 | + | 0.229677i | ||||
\(405\) | 14.7537 | + | 10.5163i | 0.733116 | + | 0.522561i | ||||
\(406\) | −4.12846 | + | 0.956041i | −0.204892 | + | 0.0474475i | ||||
\(407\) | 18.8639 | + | 10.8911i | 0.935049 | + | 0.539851i | ||||
\(408\) | 2.98632 | + | 14.6850i | 0.147845 | + | 0.727017i | ||||
\(409\) | 11.7821 | − | 6.80241i | 0.582589 | − | 0.336358i | −0.179573 | − | 0.983745i | \(-0.557472\pi\) |
0.762161 | + | 0.647387i | \(0.224138\pi\) | |||||||
\(410\) | 4.09183 | − | 3.82082i | 0.202081 | − | 0.188697i | ||||
\(411\) | 18.7719 | + | 4.20298i | 0.925948 | + | 0.207318i | ||||
\(412\) | 7.99143 | + | 0.548064i | 0.393709 | + | 0.0270012i | ||||
\(413\) | −0.239132 | + | 0.239132i | −0.0117669 | + | 0.0117669i | ||||
\(414\) | −1.68785 | − | 34.5374i | −0.0829534 | − | 1.69742i | ||||
\(415\) | 25.7652i | 1.26476i | ||||||||
\(416\) | −9.47041 | + | 6.67861i | −0.464325 | + | 0.327446i | ||||
\(417\) | −20.0076 | + | 0.831479i | −0.979775 | + | 0.0407177i | ||||
\(418\) | −47.5948 | − | 1.63014i | −2.32794 | − | 0.0797330i | ||||
\(419\) | −2.09039 | + | 7.80143i | −0.102122 | + | 0.381125i | −0.998003 | − | 0.0631698i | \(-0.979879\pi\) |
0.895881 | + | 0.444295i | \(0.146546\pi\) | |||||||
\(420\) | −2.14144 | − | 3.95120i | −0.104492 | − | 0.192799i | ||||
\(421\) | −4.12570 | − | 15.3973i | −0.201074 | − | 0.750419i | −0.990610 | − | 0.136715i | \(-0.956345\pi\) |
0.789536 | − | 0.613704i | \(-0.210321\pi\) | |||||||
\(422\) | −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 | ||||
\(426\) | 26.3299 | − | 26.7170i | 1.27569 | − | 1.29444i | ||||
\(427\) | −0.519221 | + | 1.93776i | −0.0251268 | + | 0.0937747i | ||||
\(428\) | −1.06540 | − | 5.44208i | −0.0514979 | − | 0.263053i | ||||
\(429\) | −6.13889 | − | 19.6135i | −0.296388 | − | 0.946950i | ||||
\(430\) | 1.13855 | + | 2.13785i | 0.0549059 | + | 0.103096i | ||||
\(431\) | 0.112162 | 0.00540266 | 0.00270133 | − | 0.999996i | \(-0.499140\pi\) | ||||
0.00270133 | + | 0.999996i | \(0.499140\pi\) | |||||||
\(432\) | −5.62689 | + | 20.0085i | −0.270724 | + | 0.962657i | ||||
\(433\) | 20.7054 | 0.995038 | 0.497519 | − | 0.867453i | \(-0.334244\pi\) | ||||
0.497519 | + | 0.867453i | \(0.334244\pi\) | |||||||
\(434\) | −0.0732082 | − | 0.137462i | −0.00351410 | − | 0.00659841i | ||||
\(435\) | −4.84277 | − | 15.4725i | −0.232193 | − | 0.741849i | ||||
\(436\) | −29.9964 | + | 5.87239i | −1.43657 | + | 0.281237i | ||||
\(437\) | −12.2639 | + | 45.7694i | −0.586661 | + | 2.18945i | ||||
\(438\) | 16.0552 | − | 16.2912i | 0.767146 | − | 0.778424i | ||||
\(439\) | −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 | ||||
\(443\) | 1.21372 | + | 4.52965i | 0.0576654 | + | 0.215210i | 0.988746 | − | 0.149603i | \(-0.0477995\pi\) |
−0.931081 | + | 0.364813i | \(0.881133\pi\) | |||||||
\(444\) | −11.4533 | + | 6.20737i | −0.543550 | + | 0.294589i | ||||
\(445\) | −2.01501 | + | 7.52010i | −0.0955204 | + | 0.356487i | ||||
\(446\) | 21.5067 | + | 0.736617i | 1.01837 | + | 0.0348798i | ||||
\(447\) | 38.1267 | − | 1.58448i | 1.80333 | − | 0.0749432i | ||||
\(448\) | 3.43437 | − | 3.84521i | 0.162259 | − | 0.181669i | ||||
\(449\) | 0.895625i | 0.0422672i | 0.999777 | + | 0.0211336i | \(0.00672753\pi\) | ||||
−0.999777 | + | 0.0211336i | \(0.993272\pi\) | |||||||
\(450\) | −3.37857 | + | 2.17716i | −0.159267 | + | 0.102632i | ||||
\(451\) | −8.05379 | + | 8.05379i | −0.379238 | + | 0.379238i | ||||
\(452\) | −0.826709 | + | 12.0544i | −0.0388851 | + | 0.566992i | ||||
\(453\) | −27.4879 | − | 6.15448i | −1.29149 | − | 0.289163i | ||||
\(454\) | 15.5803 | − | 14.5484i | 0.731220 | − | 0.682790i | ||||
\(455\) | −2.30167 | + | 1.32887i | −0.107904 | + | 0.0622983i | ||||
\(456\) | 15.7223 | − | 23.7491i | 0.736263 | − | 1.11215i | ||||
\(457\) | 28.9564 | + | 16.7180i | 1.35453 | + | 0.782036i | 0.988880 | − | 0.148719i | \(-0.0475148\pi\) |
0.365646 | + | 0.930754i | \(0.380848\pi\) | |||||||
\(458\) | 14.8243 | − | 3.43291i | 0.692693 | − | 0.160409i | ||||
\(459\) | 9.75525 | − | 12.5489i | 0.455336 | − | 0.585731i | ||||
\(460\) | −31.0413 | − | 10.6419i | −1.44731 | − | 0.496182i | ||||
\(461\) | −1.29659 | − | 4.83893i | −0.0603881 | − | 0.225371i | 0.929136 | − | 0.369738i | \(-0.120552\pi\) |
−0.989524 | + | 0.144366i | \(0.953886\pi\) | |||||||
\(462\) | 4.62934 | + | 7.88481i | 0.215376 | + | 0.366835i | ||||
\(463\) | −16.0584 | + | 9.27134i | −0.746299 | + | 0.430876i | −0.824355 | − | 0.566073i | \(-0.808462\pi\) |
0.0780562 | + | 0.996949i | \(0.475129\pi\) | |||||||
\(464\) | 14.8236 | − | 11.2328i | 0.688169 | − | 0.521468i | ||||
\(465\) | 0.503194 | − | 0.319087i | 0.0233351 | − | 0.0147973i | ||||
\(466\) | 2.56782 | − | 1.36754i | 0.118952 | − | 0.0633501i | ||||
\(467\) | −13.6565 | − | 13.6565i | −0.631948 | − | 0.631948i | 0.316608 | − | 0.948556i | \(-0.397456\pi\) |
−0.948556 | + | 0.316608i | \(0.897456\pi\) | |||||||
\(468\) | 11.9178 | + | 3.00765i | 0.550899 | + | 0.139029i | ||||
\(469\) | 1.02759 | − | 1.02759i | 0.0474497 | − | 0.0474497i | ||||
\(470\) | −21.9199 | − | 6.68554i | −1.01109 | − | 0.308381i | ||||
\(471\) | 41.1777 | − | 1.71127i | 1.89737 | − | 0.0788512i | ||||
\(472\) | 0.529122 | − | 1.38673i | 0.0243548 | − | 0.0638293i | ||||
\(473\) | −2.46389 | − | 4.26758i | −0.113290 | − | 0.196224i | ||||
\(474\) | 7.10084 | + | 25.7477i | 0.326152 | + | 1.18263i | ||||
\(475\) | 5.32008 | − | 1.42551i | 0.244102 | − | 0.0654069i | ||||
\(476\) | −3.54133 | + | 1.73310i | −0.162317 | + | 0.0794363i | ||||
\(477\) | −13.6009 | − | 2.45712i | −0.622741 | − | 0.112504i | ||||
\(478\) | −9.78564 | − | 6.10564i | −0.447585 | − | 0.279265i | ||||
\(479\) | 1.37861 | − | 2.38783i | 0.0629904 | − | 0.109103i | −0.832810 | − | 0.553558i | \(-0.813270\pi\) |
0.895801 | + | 0.444456i | \(0.146603\pi\) | |||||||
\(480\) | 15.6634 | + | 11.9879i | 0.714935 | + | 0.547172i | ||||
\(481\) | 3.85198 | + | 6.67182i | 0.175635 | + | 0.304209i | ||||
\(482\) | 0.564206 | − | 16.4729i | 0.0256989 | − | 0.750321i | ||||
\(483\) | 8.68219 | − | 2.71746i | 0.395053 | − | 0.123649i | ||||
\(484\) | −3.08561 | + | 44.9918i | −0.140255 | + | 2.04508i | ||||
\(485\) | −20.8696 | − | 20.8696i | −0.947639 | − | 0.947639i | ||||
\(486\) | 19.9901 | − | 9.29484i | 0.906772 | − | 0.421622i | ||||
\(487\) | 17.4202 | 0.789383 | 0.394692 | − | 0.918814i | \(-0.370851\pi\) | ||||
0.394692 | + | 0.918814i | \(0.370851\pi\) | |||||||
\(488\) | −1.39480 | − | 8.69340i | −0.0631397 | − | 0.393532i | ||||
\(489\) | −24.7828 | − | 12.9673i | −1.12071 | − | 0.586400i | ||||
\(490\) | −13.7017 | + | 12.7942i | −0.618980 | + | 0.577984i | ||||
\(491\) | −16.1550 | − | 4.32873i | −0.729066 | − | 0.195353i | −0.124853 | − | 0.992175i | \(-0.539846\pi\) |
−0.604213 | + | 0.796822i | \(0.706513\pi\) | |||||||
\(492\) | −1.58517 | − | 6.62489i | −0.0714650 | − | 0.298673i | ||||
\(493\) | −13.7384 | + | 3.68120i | −0.618747 | + | 0.165793i | ||||
\(494\) | −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 | ||||
\(498\) | 27.2637 | + | 15.4765i | 1.22172 | + | 0.693521i | ||||
\(499\) | 32.1048 | + | 8.60246i | 1.43721 | + | 0.385099i | 0.891556 | − | 0.452911i | \(-0.149615\pi\) |
0.545654 | + | 0.838011i | \(0.316281\pi\) | |||||||
\(500\) | 4.60048 | + | 23.4994i | 0.205740 | + | 1.05092i | ||||
\(501\) | 0.628765 | + | 0.578590i | 0.0280912 | + | 0.0258495i | ||||
\(502\) | 0.0384394 | − | 0.126031i | 0.00171563 | − | 0.00562505i | ||||
\(503\) | 5.04620i | 0.224999i | 0.993652 | + | 0.112499i | \(0.0358857\pi\) | ||||
−0.993652 | + | 0.112499i | \(0.964114\pi\) | |||||||
\(504\) | −5.46732 | − | 0.107407i | −0.243534 | − | 0.00478430i | ||||
\(505\) | − | 4.91221i | − | 0.218590i | ||||||
\(506\) | 63.8571 | + | 19.4763i | 2.83879 | + | 0.865829i | ||||
\(507\) | −3.33148 | + | 14.8795i | −0.147956 | + | 0.660821i | ||||
\(508\) | −9.79952 | − | 6.59078i | −0.434783 | − | 0.292419i | ||||
\(509\) | −39.6362 | − | 10.6205i | −1.75684 | − | 0.470745i | −0.770777 | − | 0.637105i | \(-0.780132\pi\) |
−0.986065 | + | 0.166360i | \(0.946799\pi\) | |||||||
\(510\) | −7.63706 | − | 13.0076i | −0.338175 | − | 0.575988i | ||||
\(511\) | 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 | ||||
\(515\) | −7.78801 | + | 2.08679i | −0.343181 | + | 0.0919549i | ||||
\(516\) | 2.94609 | + | 0.0793868i | 0.129694 | + | 0.00349481i | ||||
\(517\) | 45.0351 | + | 12.0671i | 1.98064 | + | 0.530711i | ||||
\(518\) | −2.33919 | − | 2.50511i | −0.102778 | − | 0.110068i | ||||
\(519\) | −30.0074 | + | 19.0284i | −1.31718 | + | 0.835254i | ||||
\(520\) | 6.83724 | − | 9.45051i | 0.299833 | − | 0.414432i | ||||
\(521\) | 10.9553 | 0.479963 | 0.239981 | − | 0.970778i | \(-0.422859\pi\) | ||||
0.239981 | + | 0.970778i | \(0.422859\pi\) | |||||||
\(522\) | −19.2813 | − | 4.16953i | −0.843920 | − | 0.182495i | ||||
\(523\) | 8.18896 | + | 8.18896i | 0.358078 | + | 0.358078i | 0.863104 | − | 0.505026i | \(-0.168517\pi\) |
−0.505026 | + | 0.863104i | \(0.668517\pi\) | |||||||
\(524\) | 2.12102 | + | 2.43336i | 0.0926570 | + | 0.106302i | ||||
\(525\) | −0.778145 | − | 0.716049i | −0.0339610 | − | 0.0312509i | ||||
\(526\) | −10.4412 | − | 0.357616i | −0.455258 | − | 0.0155928i | ||||
\(527\) | −0.261358 | − | 0.452685i | −0.0113849 | − | 0.0197193i | ||||
\(528\) | −32.6832 | − | 23.2841i | −1.42235 | − | 1.01331i | ||||
\(529\) | 21.7133 | − | 37.6085i | 0.944056 | − | 1.63515i | ||||
\(530\) | −6.94301 | + | 11.1277i | −0.301585 | + | 0.483357i | ||||
\(531\) | −1.48159 | + | 0.532220i | −0.0642953 | + | 0.0230964i | ||||
\(532\) | 7.08847 | + | 2.43014i | 0.307324 | + | 0.105360i | ||||
\(533\) | −3.89110 | + | 1.04262i | −0.168542 | + | 0.0451607i | ||||
\(534\) | 6.74711 | + | 6.64935i | 0.291976 | + | 0.287746i | ||||
\(535\) | 2.79088 | + | 4.83394i | 0.120660 | + | 0.208989i | ||||
\(536\) | −2.27372 | + | 5.95899i | −0.0982099 | + | 0.257389i | ||||
\(537\) | 8.51100 | − | 16.2660i | 0.367277 | − | 0.701931i | ||||
\(538\) | 4.53395 | − | 14.8655i | 0.195473 | − | 0.640896i | ||||
\(539\) | 26.9686 | − | 26.9686i | 1.16162 | − | 1.16162i | ||||
\(540\) | −1.17365 | − | 20.8880i | −0.0505057 | − | 0.898876i | ||||
\(541\) | −16.3651 | − | 16.3651i | −0.703590 | − | 0.703590i | 0.261589 | − | 0.965179i | \(-0.415753\pi\) |
−0.965179 | + | 0.261589i | \(0.915753\pi\) | |||||||
\(542\) | −10.0035 | − | 18.7834i | −0.429686 | − | 0.806818i | ||||
\(543\) | 1.90877 | + | 0.998740i | 0.0819131 | + | 0.0428600i | ||||
\(544\) | 11.0783 | − | 13.2927i | 0.474978 | − | 0.569920i | ||||
\(545\) | 26.6444 | − | 15.3831i | 1.14132 | − | 0.658941i | ||||
\(546\) | 0.0235977 | + | 3.23375i | 0.00100989 | + | 0.138392i | ||||
\(547\) | −6.32886 | − | 23.6196i | −0.270603 | − | 1.00990i | −0.958731 | − | 0.284314i | \(-0.908234\pi\) |
0.688129 | − | 0.725589i | \(-0.258432\pi\) | |||||||
\(548\) | −9.76406 | − | 19.9514i | −0.417100 | − | 0.852284i | ||||
\(549\) | −6.03276 | + | 7.12857i | −0.257472 | + | 0.304240i | ||||
\(550\) | −1.75070 | − | 7.56003i | −0.0746502 | − | 0.322361i | ||||
\(551\) | 23.4108 | + | 13.5162i | 0.997332 | + | 0.575810i | ||||
\(552\) | −29.9066 | + | 26.4543i | −1.27291 | + | 1.12597i | ||||
\(553\) | −6.08559 | + | 3.51352i | −0.258786 | + | 0.149410i | ||||
\(554\) | −13.5202 | − | 14.4792i | −0.574419 | − | 0.615163i | ||||
\(555\) | 8.87910 | − | 9.64909i | 0.376897 | − | 0.409581i | ||||
\(556\) | 15.1932 | + | 17.4306i | 0.644336 | + | 0.739222i | ||||
\(557\) | 1.55709 | − | 1.55709i | 0.0659760 | − | 0.0659760i | −0.673349 | − | 0.739325i | \(-0.735145\pi\) |
0.739325 | + | 0.673349i | \(0.235145\pi\) | |||||||
\(558\) | −0.0353883 | − | 0.724128i | −0.00149811 | − | 0.0306548i | ||||
\(559\) | − | 1.74287i | − | 0.0737154i | ||||||
\(560\) | −2.01488 | + | 4.78232i | −0.0851442 | + | 0.202090i | ||||
\(561\) | 16.4342 | + | 25.9165i | 0.693854 | + | 1.09419i | ||||
\(562\) | −0.747922 | + | 21.8368i | −0.0315492 | + | 0.921131i | ||||
\(563\) | −7.85187 | + | 29.3036i | −0.330917 | + | 1.23500i | 0.577311 | + | 0.816524i | \(0.304102\pi\) |
−0.908228 | + | 0.418475i | \(0.862565\pi\) | |||||||
\(564\) | −20.2411 | + | 19.1789i | −0.852305 | + | 0.807577i | ||||
\(565\) | −3.14775 | − | 11.7476i | −0.132427 | − | 0.494224i | ||||
\(566\) | 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 | −0.999794 | − | 0.0203012i | \(-0.993537\pi\) |
0.517478 | + | 0.855696i | \(0.326871\pi\) | |||||||
\(570\) | −7.21769 | + | 27.7451i | −0.302316 | + | 1.16211i | ||||
\(571\) | 3.77973 | − | 14.1061i | 0.158177 | − | 0.590324i | −0.840636 | − | 0.541601i | \(-0.817818\pi\) |
0.998812 | − | 0.0487226i | \(-0.0155150\pi\) | |||||||
\(572\) | −13.2439 | + | 19.6918i | −0.553757 | + | 0.823355i | ||||
\(573\) | 13.4391 | + | 3.00898i | 0.561425 | + | 0.125702i | ||||
\(574\) | 1.58185 | − | 0.842442i | 0.0660250 | − | 0.0351628i | ||||
\(575\) | −7.72120 | −0.321996 | ||||||||
\(576\) | 22.0938 | − | 9.37355i | 0.920576 | − | 0.390564i | ||||
\(577\) | −18.7394 | −0.780130 | −0.390065 | − | 0.920787i | \(-0.627548\pi\) | ||||
−0.390065 | + | 0.920787i | \(0.627548\pi\) | |||||||
\(578\) | 9.54023 | − | 5.08082i | 0.396821 | − | 0.211334i | ||||
\(579\) | 6.93013 | − | 7.53111i | 0.288006 | − | 0.312982i | ||||
\(580\) | −10.4477 | + | 15.5342i | −0.433818 | + | 0.645023i | ||||
\(581\) | −2.13478 | + | 7.96709i | −0.0885654 | + | 0.330531i | ||||
\(582\) | −34.6192 | + | 9.54749i | −1.43501 | + | 0.395756i | ||||
\(583\) | 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 | ||||
\(587\) | −3.72984 | − | 13.9200i | −0.153947 | − | 0.574538i | −0.999193 | − | 0.0401610i | \(-0.987213\pi\) |
0.845246 | − | 0.534377i | \(-0.179454\pi\) | |||||||
\(588\) | 5.30803 | + | 22.1838i | 0.218899 | + | 0.914844i | ||||
\(589\) | −0.257131 | + | 0.959624i | −0.0105949 | + | 0.0395406i | ||||
\(590\) | −0.0511396 | + | 1.49310i | −0.00210538 | + | 0.0614701i | ||||
\(591\) | −13.2515 | + | 25.3260i | −0.545095 | + | 1.04177i | ||||
\(592\) | 13.8625 | + | 5.84051i | 0.569744 | + | 0.240044i | ||||
\(593\) | 11.6038i | 0.476512i | 0.971202 | + | 0.238256i | \(0.0765758\pi\) | ||||
−0.971202 | + | 0.238256i | \(0.923424\pi\) | |||||||
\(594\) | 3.84103 | + | 42.3896i | 0.157599 | + | 1.73927i | ||||
\(595\) | 2.80617 | − | 2.80617i | 0.115042 | − | 0.115042i | ||||
\(596\) | −28.9524 | − | 33.2160i | −1.18594 | − | 1.36058i | ||||
\(597\) | 0.327728 | + | 1.04708i | 0.0134130 | + | 0.0428541i | ||||
\(598\) | 16.1150 | + | 17.2581i | 0.658993 | + | 0.705736i | ||||
\(599\) | −2.74819 | + | 1.58667i | −0.112288 | + | 0.0648294i | −0.555092 | − | 0.831789i | \(-0.687317\pi\) |
0.442804 | + | 0.896618i | \(0.353984\pi\) | |||||||
\(600\) | 4.40112 | + | 1.47304i | 0.179675 | + | 0.0601364i | ||||
\(601\) | −29.2389 | − | 16.8811i | −1.19268 | − | 0.688593i | −0.233765 | − | 0.972293i | \(-0.575105\pi\) |
−0.958913 | + | 0.283700i | \(0.908438\pi\) | |||||||
\(602\) | 0.174931 | + | 0.755400i | 0.00712964 | + | 0.0307878i | ||||
\(603\) | 6.36662 | − | 2.28704i | 0.259269 | − | 0.0931354i | ||||
\(604\) | 14.2977 | + | 29.2152i | 0.581763 | + | 1.18875i | ||||
\(605\) | −11.7487 | − | 43.8466i | −0.477651 | − | 1.78262i | ||||
\(606\) | −5.19790 | − | 2.95065i | −0.211150 | − | 0.119862i | ||||
\(607\) | −26.7618 | + | 15.4509i | −1.08623 | + | 0.627133i | −0.932569 | − | 0.360991i | \(-0.882438\pi\) |
−0.153657 | + | 0.988124i | \(0.549105\pi\) | |||||||
\(608\) | −32.7529 | + | 2.97602i | −1.32831 | + | 0.120693i | ||||
\(609\) | −0.215506 | − | 5.18564i | −0.00873273 | − | 0.210133i | ||||
\(610\) | 4.16585 | + | 7.82218i | 0.168670 | + | 0.316711i | ||||
\(611\) | 11.6602 | + | 11.6602i | 0.471720 | + | 0.471720i | ||||
\(612\) | −18.3516 | + | 0.267848i | −0.741819 | + | 0.0108271i | ||||
\(613\) | −27.1318 | + | 27.1318i | −1.09584 | + | 1.09584i | −0.100951 | + | 0.994891i | \(0.532189\pi\) |
−0.994891 | + | 0.100951i | \(0.967811\pi\) | |||||||
\(614\) | −4.52774 | + | 14.8451i | −0.182725 | + | 0.599099i | ||||
\(615\) | 3.67189 | + | 5.79049i | 0.148065 | + | 0.233495i | ||||
\(616\) | 3.76379 | − | 9.86418i | 0.151647 | − | 0.397439i | ||||
\(617\) | −4.23780 | − | 7.34009i | −0.170607 | − | 0.295501i | 0.768025 | − | 0.640420i | \(-0.221240\pi\) |
−0.938632 | + | 0.344919i | \(0.887906\pi\) | |||||||
\(618\) | −2.46992 | + | 9.49444i | −0.0993546 | + | 0.381923i | ||||
\(619\) | 24.4520 | − | 6.55190i | 0.982810 | − | 0.263343i | 0.268582 | − | 0.963257i | \(-0.413445\pi\) |
0.714228 | + | 0.699914i | \(0.246778\pi\) | |||||||
\(620\) | −0.650827 | − | 0.223124i | −0.0261379 | − | 0.00896086i | ||||
\(621\) | 41.9520 | + | 5.79205i | 1.68348 | + | 0.232427i | ||||
\(622\) | −3.26364 | + | 5.23071i | −0.130860 | + | 0.209732i | ||||
\(623\) | −1.24616 | + | 2.15841i | −0.0499262 | + | 0.0864748i | ||||
\(624\) | −5.89318 | − | 12.9116i | −0.235916 | − | 0.516877i | ||||
\(625\) | −9.68286 | − | 16.7712i | −0.387315 | − | 0.670848i | ||||
\(626\) | −3.60285 | − | 0.123399i | −0.143999 | − | 0.00493203i | ||||
\(627\) | 12.7435 | − | 56.9165i | 0.508925 | − | 2.27302i | ||||
\(628\) | −31.2692 | − | 35.8740i | −1.24778 | − | 1.43153i | ||||
\(629\) | −8.13423 | − | 8.13423i | −0.324333 | − | 0.324333i | ||||
\(630\) | 5.24081 | − | 1.68242i | 0.208799 | − | 0.0670293i | ||||
\(631\) | 32.2960 | 1.28568 | 0.642842 | − | 0.765999i | \(-0.277755\pi\) | ||||
0.642842 | + | 0.765999i | \(0.277755\pi\) | |||||||
\(632\) | 18.0776 | − | 24.9870i | 0.719088 | − | 0.993931i | ||||
\(633\) | −1.54015 | − | 37.0600i | −0.0612153 | − | 1.47300i | ||||
\(634\) | −18.3248 | − | 19.6245i | −0.727769 | − | 0.779390i | ||||
\(635\) | 11.4821 | + | 3.07662i | 0.455654 | + | 0.122092i | ||||
\(636\) | 7.60439 | + | 14.0310i | 0.301534 | + | 0.556364i | ||||
\(637\) | 13.0295 | − | 3.49126i | 0.516249 | − | 0.138329i | ||||
\(638\) | 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 | \(0.455191\pi\) | |||||||
\(642\) | 6.79150 | − | 0.0495595i | 0.268039 | − | 0.00195596i | ||||
\(643\) | 18.2322 | + | 4.88530i | 0.719007 | + | 0.192657i | 0.599728 | − | 0.800204i | \(-0.295275\pi\) |
0.119278 | + | 0.992861i | \(0.461942\pi\) | |||||||
\(644\) | −8.71683 | − | 5.86261i | −0.343491 | − | 0.231019i | ||||
\(645\) | −2.83106 | + | 0.886101i | −0.111473 | + | 0.0348902i | ||||
\(646\) | 24.0563 | + | 7.33715i | 0.946483 | + | 0.288676i | ||||
\(647\) | − | 25.7862i | − | 1.01376i | −0.862017 | − | 0.506879i | \(-0.830799\pi\) | ||
0.862017 | − | 0.506879i | \(-0.169201\pi\) | |||||||
\(648\) | −22.8078 | − | 11.3050i | −0.895976 | − | 0.444103i | ||||
\(649\) | − | 3.03948i | − | 0.119310i | ||||||
\(650\) | 0.800687 | − | 2.62521i | 0.0314055 | − | 0.102969i | ||||
\(651\) | 0.182035 | − | 0.0569757i | 0.00713452 | − | 0.00223305i | ||||
\(652\) | 6.20505 | + | 31.6956i | 0.243009 | + | 1.24130i | ||||
\(653\) | −9.81233 | − | 2.62920i | −0.383986 | − | 0.102889i | 0.0616618 | − | 0.998097i | \(-0.480360\pi\) |
−0.445648 | + | 0.895208i | \(0.647027\pi\) | |||||||
\(654\) | −0.273169 | − | 37.4343i | −0.0106818 | − | 1.46380i | ||||
\(655\) | −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 | ||||
\(659\) | 10.6102 | − | 2.84300i | 0.413316 | − | 0.110748i | −0.0461683 | − | 0.998934i | \(-0.514701\pi\) |
0.459484 | + | 0.888186i | \(0.348034\pi\) | |||||||
\(660\) | 38.7202 | + | 11.5014i | 1.50718 | + | 0.447693i | ||||
\(661\) | −22.2643 | − | 5.96571i | −0.865982 | − | 0.232039i | −0.201633 | − | 0.979461i | \(-0.564625\pi\) |
−0.664350 | + | 0.747422i | \(0.731291\pi\) | |||||||
\(662\) | −22.2940 | + | 20.8174i | −0.866482 | + | 0.809093i | ||||
\(663\) | 0.450673 | + | 10.8444i | 0.0175027 | + | 0.421161i | ||||
\(664\) | −5.73473 | − | 35.7429i | −0.222551 | − | 1.38709i | ||||
\(665\) | −7.54261 | −0.292490 | ||||||||
\(666\) | −4.87682 | − | 15.1915i | −0.188973 | − | 0.588658i | ||||
\(667\) | −26.7966 | − | 26.7966i | −1.03757 | − | 1.03757i | ||||
\(668\) | 0.0675075 | − | 0.984340i | 0.00261194 | − | 0.0380853i | ||||
\(669\) | −5.75842 | + | 25.7190i | −0.222633 | + | 0.994352i | ||||
\(670\) | 0.219755 | − | 6.41611i | 0.00848988 | − | 0.247876i | ||||
\(671\) | −9.01513 | − | 15.6147i | −0.348025 | − | 0.602797i | ||||
\(672\) | 3.85017 | + | 5.00470i | 0.148524 | + | 0.193060i | ||||
\(673\) | −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 | ||||
\(675\) | −1.85513 | − | 4.55967i | −0.0714039 | − | 0.175502i | ||||
\(676\) | 15.8145 | − | 7.73946i | 0.608249 | − | 0.297672i | ||||
\(677\) | 31.9657 | − | 8.56517i | 1.22854 | − | 0.329186i | 0.414529 | − | 0.910036i | \(-0.363946\pi\) |
0.814011 | + | 0.580850i | \(0.197280\pi\) | |||||||
\(678\) | −14.3216 | − | 3.72566i | −0.550017 | − | 0.143083i | ||||
\(679\) | −4.72413 | − | 8.18243i | −0.181295 | − | 0.314013i | ||||
\(680\) | −6.20916 | + | 16.2730i | −0.238110 | + | 0.624042i | ||||
\(681\) | 13.9813 | + | 22.0483i | 0.535765 | + | 0.844891i | ||||
\(682\) | 1.33886 | + | 0.408351i | 0.0512676 | + | 0.0156366i | ||||
\(683\) | −21.1555 | + | 21.1555i | −0.809494 | + | 0.809494i | −0.984557 | − | 0.175063i | \(-0.943987\pi\) |
0.175063 | + | 0.984557i | \(0.443987\pi\) | |||||||
\(684\) | 25.0232 | + | 24.3033i | 0.956787 | + | 0.929260i | ||||
\(685\) | 15.8097 | + | 15.8097i | 0.604056 | + | 0.604056i | ||||
\(686\) | −10.9279 | + | 5.81985i | −0.417229 | + | 0.222203i | ||||
\(687\) | 0.773828 | + | 18.6203i | 0.0295234 | + | 0.710410i | ||||
\(688\) | −2.05530 | − | 2.71233i | −0.0783576 | − | 0.103407i | ||||
\(689\) | 8.17337 | − | 4.71890i | 0.311381 | − | 0.179776i | ||||
\(690\) | 19.8404 | − | 34.9511i | 0.755310 | − | 1.33056i | ||||
\(691\) | 6.57213 | + | 24.5275i | 0.250016 | + | 0.933071i | 0.970796 | + | 0.239908i | \(0.0771171\pi\) |
−0.720780 | + | 0.693164i | \(0.756216\pi\) | |||||||
\(692\) | 38.8114 | + | 13.3057i | 1.47539 | + | 0.505808i | ||||
\(693\) | −10.5389 | + | 3.78583i | −0.400341 | + | 0.143812i | ||||
\(694\) | 11.1497 | − | 2.58198i | 0.423238 | − | 0.0980108i | ||||
\(695\) | −20.1562 | − | 11.6372i | −0.764568 | − | 0.441423i | ||||
\(696\) | 10.1620 | + | 20.3864i | 0.385189 | + | 0.772745i | ||||
\(697\) | 5.20926 | − | 3.00757i | 0.197315 | − | 0.113920i | ||||
\(698\) | −17.2200 | + | 16.0795i | −0.651788 | + | 0.608618i | ||||
\(699\) | 1.06432 | + | 3.40045i | 0.0402561 | + | 0.128617i | ||||
\(700\) | −0.0835456 | + | 1.21820i | −0.00315773 | + | 0.0460434i | ||||
\(701\) | 15.7130 | − | 15.7130i | 0.593472 | − | 0.593472i | −0.345096 | − | 0.938568i | \(-0.612153\pi\) |
0.938568 | + | 0.345096i | \(0.112153\pi\) | |||||||
\(702\) | −6.31972 | + | 13.6631i | −0.238522 | + | 0.515680i | ||||
\(703\) | 21.8637i | 0.824605i | ||||||||
\(704\) | 2.61094 | + | 46.2634i | 0.0984037 | + | 1.74362i | ||||
\(705\) | 13.0122 | − | 24.8686i | 0.490068 | − | 0.936607i | ||||
\(706\) | −18.4546 | − | 0.632080i | −0.694548 | − | 0.0237886i | ||||
\(707\) | 0.407001 | − | 1.51895i | 0.0153069 | − | 0.0571260i | ||||
\(708\) | 1.54922 | + | 0.950986i | 0.0582234 | + | 0.0357403i | ||||
\(709\) | 1.33304 | + | 4.97496i | 0.0500632 | + | 0.186838i | 0.986429 | − | 0.164187i | \(-0.0524999\pi\) |
−0.936366 | + | 0.351025i | \(0.885833\pi\) | |||||||
\(710\) | 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 | ||||
\(714\) | −1.28378 | − | 4.65498i | −0.0480442 | − | 0.174208i | ||||
\(715\) | 6.18236 | − | 23.0729i | 0.231207 | − | 0.862877i | ||||
\(716\) | −20.8032 | + | 4.07265i | −0.777453 | + | 0.152202i | ||||
\(717\) | 9.56552 | − | 10.3950i | 0.357231 | − | 0.388210i | ||||
\(718\) | 14.0539 | + | 26.3890i | 0.524488 | + | 0.984828i | ||||
\(719\) | 21.0741 | 0.785932 | 0.392966 | − | 0.919553i | \(-0.371449\pi\) | ||||
0.392966 | + | 0.919553i | \(0.371449\pi\) | |||||||
\(720\) | −17.9770 | + | 16.1372i | −0.669963 | + | 0.601396i | ||||
\(721\) | −2.58110 | −0.0961253 | ||||||||
\(722\) | −9.83881 | − | 18.4743i | −0.366163 | − | 0.687541i | ||||
\(723\) | 19.6992 | + | 4.41061i | 0.732622 | + | 0.164032i | ||||
\(724\) | −0.477914 | − | 2.44120i | −0.0177615 | − | 0.0907264i | ||||
\(725\) | −1.14008 | + | 4.25483i | −0.0423414 | + | 0.158020i | ||||
\(726\) | −53.4538 | − | 13.9057i | −1.98386 | − | 0.516087i | ||||
\(727\) | 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 | ||||
\(731\) | 0.673562 | + | 2.51377i | 0.0249126 | + | 0.0929751i | ||||
\(732\) | 10.7795 | + | 0.290468i | 0.398420 | + | 0.0107360i | ||||
\(733\) | 8.92809 | − | 33.3201i | 0.329767 | − | 1.23071i | −0.579666 | − | 0.814854i | \(-0.696817\pi\) |
0.909433 | − | 0.415851i | \(-0.136516\pi\) | |||||||
\(734\) | −45.2947 | − | 1.55137i | −1.67186 | − | 0.0572620i | ||||
\(735\) | −12.2955 | − | 19.3898i | −0.453527 | − | 0.715203i | ||||
\(736\) | 45.4309 | + | 7.85398i | 1.67460 | + | 0.289502i | ||||
\(737\) | 13.0611i | 0.481113i | ||||||||
\(738\) | 8.33289 | − | 0.407231i | 0.306738 | − | 0.0149904i | ||||
\(739\) | −14.5953 | + | 14.5953i | −0.536895 | + | 0.536895i | −0.922616 | − | 0.385721i | \(-0.873953\pi\) |
0.385721 | + | 0.922616i | \(0.373953\pi\) | |||||||
\(740\) | −15.1058 | − | 1.03598i | −0.555299 | − | 0.0380832i | ||||
\(741\) | 13.9684 | − | 15.1798i | 0.513144 | − | 0.557644i | ||||
\(742\) | −3.06890 | + | 2.86564i | −0.112663 | + | 0.105201i | ||||
\(743\) | 45.2494 | − | 26.1248i | 1.66004 | − | 0.958424i | 0.687347 | − | 0.726330i | \(-0.258775\pi\) |
0.972693 | − | 0.232095i | \(-0.0745580\pi\) | |||||||
\(744\) | −0.627037 | + | 0.554655i | −0.0229883 | + | 0.0203346i | ||||
\(745\) | 38.4099 | + | 22.1760i | 1.40723 | + | 0.812464i | ||||
\(746\) | 0.987883 | − | 0.228768i | 0.0361690 | − | 0.00837577i | ||||
\(747\) | −24.8037 | + | 29.3091i | −0.907520 | + | 1.07237i | ||||
\(748\) | 11.4917 | − | 33.5202i | 0.420180 | − | 1.22562i | ||||
\(749\) | 0.462476 | + | 1.72599i | 0.0168985 | + | 0.0630661i | ||||
\(750\) | −29.3263 | + | 0.214003i | −1.07085 | + | 0.00781427i | ||||
\(751\) | −12.4720 | + | 7.20072i | −0.455110 | + | 0.262758i | −0.709986 | − | 0.704216i | \(-0.751299\pi\) |
0.254876 | + | 0.966974i | \(0.417965\pi\) | |||||||
\(752\) | 31.8965 | + | 4.39570i | 1.16315 | + | 0.160295i | ||||
\(753\) | 0.142985 | + | 0.0748154i | 0.00521068 | + | 0.00272642i | ||||
\(754\) | 11.8897 | − | 6.33207i | 0.432997 | − | 0.230600i | ||||
\(755\) | −23.1503 | − | 23.1503i | −0.842526 | − | 0.842526i | ||||
\(756\) | 1.36776 | − | 6.55621i | 0.0497450 | − | 0.238447i | ||||
\(757\) | −18.7302 | + | 18.7302i | −0.680761 | + | 0.680761i | −0.960172 | − | 0.279411i | \(-0.909861\pi\) |
0.279411 | + | 0.960172i | \(0.409861\pi\) | |||||||
\(758\) | −6.98255 | − | 2.12967i | −0.253618 | − | 0.0773531i | ||||
\(759\) | −37.9072 | + | 72.4474i | −1.37594 | + | 2.62967i | ||||
\(760\) | 30.2145 | − | 13.5251i | 1.09600 | − | 0.490608i | ||||
\(761\) | 22.9842 | + | 39.8099i | 0.833178 | + | 1.44311i | 0.895505 | + | 0.445050i | \(0.146814\pi\) |
−0.0623277 | + | 0.998056i | \(0.519852\pi\) | |||||||
\(762\) | 10.1526 | − | 10.3019i | 0.367790 | − | 0.373197i | ||||
\(763\) | 9.51352 | − | 2.54914i | 0.344413 | − | 0.0922851i | ||||
\(764\) | −6.99024 | − | 14.2835i | −0.252898 | − | 0.516761i | ||||
\(765\) | 17.3862 | − | 6.24552i | 0.628598 | − | 0.225807i | ||||
\(766\) | 23.3638 | + | 14.5776i | 0.844168 | + | 0.526709i | ||||
\(767\) | 0.537503 | − | 0.930983i | 0.0194081 | − | 0.0336159i | ||||
\(768\) | −24.3974 | − | 13.1440i | −0.880366 | − | 0.474294i | ||||
\(769\) | 8.08642 | + | 14.0061i | 0.291604 | + | 0.505072i | 0.974189 | − | 0.225733i | \(-0.0724778\pi\) |
−0.682585 | + | 0.730806i | \(0.739144\pi\) | |||||||
\(770\) | −0.363770 | + | 10.6209i | −0.0131094 | + | 0.382749i | ||||
\(771\) | 21.7591 | + | 20.0228i | 0.783636 | + | 0.721102i | ||||
\(772\) | −11.7900 | − | 0.808579i | −0.424333 | − | 0.0291014i | ||||
\(773\) | 3.33435 | + | 3.33435i | 0.119928 | + | 0.119928i | 0.764524 | − | 0.644596i | \(-0.222974\pi\) |
−0.644596 | + | 0.764524i | \(0.722974\pi\) | |||||||
\(774\) | −0.762914 | + | 3.52797i | −0.0274224 | + | 0.126810i | ||||
\(775\) | −0.161887 | −0.00581514 | ||||||||
\(776\) | 33.5966 | + | 24.3064i | 1.20605 | + | 0.872548i | ||||
\(777\) | 3.54506 | − | 2.24801i | 0.127178 | − | 0.0806468i | ||||
\(778\) | 0.333136 | − | 0.311072i | 0.0119435 | − | 0.0111525i | ||||
\(779\) | −11.0429 | − | 2.95893i | −0.395652 | − | 0.106015i | ||||
\(780\) | 9.82596 | + | 10.3702i | 0.351826 | + | 0.371312i | ||||
\(781\) | −85.6769 | + | 22.9570i | −3.06576 | + | 0.821468i | ||||
\(782\) | −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 | ||||
\(786\) | −3.40929 | + | 2.00167i | −0.121605 | + | 0.0713971i | ||||
\(787\) | −0.0468477 | − | 0.0125528i | −0.00166994 | − | 0.000447460i | 0.257984 | − | 0.966149i | \(-0.416942\pi\) |
−0.259654 | + | 0.965702i | \(0.583608\pi\) | |||||||
\(788\) | 32.3904 | − | 6.34107i | 1.15386 | − | 0.225891i | ||||
\(789\) | 2.79562 | − | 12.4862i | 0.0995269 | − | 0.444519i | ||||
\(790\) | −9.05623 | + | 29.6927i | −0.322206 | + | 1.05642i | ||||
\(791\) | − | 3.89338i | − | 0.138433i | ||||||
\(792\) | 35.4287 | − | 34.0635i | 1.25890 | − | 1.21039i | ||||
\(793\) | − | 6.37697i | − | 0.226453i | ||||||
\(794\) | 6.81725 | + | 2.07925i | 0.241935 | + | 0.0737900i | ||||
\(795\) | −11.8207 | − | 10.8774i | −0.419237 | − | 0.385782i | ||||
\(796\) | 0.707035 | − | 1.05126i | 0.0250602 | − | 0.0372608i | ||||
\(797\) | −19.0545 | − | 5.10564i | −0.674945 | − | 0.180851i | −0.0949636 | − | 0.995481i | \(-0.530273\pi\) |
−0.579981 | + | 0.814630i | \(0.696940\pi\) | |||||||
\(798\) | −4.53067 | + | 7.98129i | −0.160384 | + | 0.282535i | ||||
\(799\) | −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 | ||||
\(803\) | −52.2431 | + | 13.9985i | −1.84362 | + | 0.493996i | ||||
\(804\) | −6.65727 | − | 4.08655i | −0.234784 | − | 0.144121i | ||||
\(805\) | 10.2135 | + | 2.73671i | 0.359980 | + | 0.0964562i | ||||
\(806\) | 0.337876 | + | 0.361842i | 0.0119012 | + | 0.0127453i | ||||
\(807\) | 16.8652 | + | 8.82453i | 0.593685 | + | 0.310638i | ||||
\(808\) | 1.09334 | + | 6.81449i | 0.0384637 | + | 0.239733i | ||||
\(809\) | −20.7043 | −0.727925 | −0.363963 | − | 0.931414i | \(-0.618576\pi\) | ||||
−0.363963 | + | 0.931414i | \(0.618576\pi\) | |||||||
\(810\) | 25.4069 | + | 3.31903i | 0.892709 | + | 0.116619i | ||||
\(811\) | 14.8452 | + | 14.8452i | 0.521285 | + | 0.521285i | 0.917959 | − | 0.396675i | \(-0.129836\pi\) |
−0.396675 | + | 0.917959i | \(0.629836\pi\) | |||||||
\(812\) | −4.51773 | + | 3.93783i | −0.158541 | + | 0.138191i | ||||
\(813\) | 24.8740 | − | 7.78540i | 0.872371 | − | 0.273046i | ||||
\(814\) | 30.7866 | + | 1.05446i | 1.07907 | + | 0.0369587i | ||||
\(815\) | −16.2545 | − | 28.1537i | −0.569372 | − | 0.986181i | ||||
\(816\) | 13.4898 | + | 16.3451i | 0.472236 | + | 0.572193i | ||||
\(817\) | 2.47311 | − | 4.28356i | 0.0865232 | − | 0.149863i | ||||
\(818\) | 10.1848 | − | 16.3234i | 0.356103 | − | 0.570733i | ||||
\(819\) | −3.89754 | − | 0.704124i | −0.136191 | − | 0.0246041i | ||||
\(820\) | 2.56759 | − | 7.48939i | 0.0896642 | − | 0.261541i | ||||
\(821\) | −27.9379 | + | 7.48593i | −0.975038 | + | 0.261261i | −0.710954 | − | 0.703239i | \(-0.751736\pi\) |
−0.264084 | + | 0.964500i | \(0.585070\pi\) | |||||||
\(822\) | 26.2256 | − | 7.23266i | 0.914724 | − | 0.252268i | ||||
\(823\) | −21.2527 | − | 36.8108i | −0.740823 | − | 1.28314i | −0.952121 | − | 0.305722i | \(-0.901102\pi\) |
0.211297 | − | 0.977422i | \(-0.432231\pi\) | |||||||
\(824\) | 10.3395 | − | 4.62834i | 0.360193 | − | 0.161236i | ||||
\(825\) | 9.49594 | − | 0.394634i | 0.330606 | − | 0.0137394i | ||||
\(826\) | −0.139525 | + | 0.457459i | −0.00485468 | + | 0.0159170i | ||||
\(827\) | 11.9196 | − | 11.9196i | 0.414485 | − | 0.414485i | −0.468812 | − | 0.883298i | \(-0.655318\pi\) |
0.883298 | + | 0.468812i | \(0.155318\pi\) | |||||||
\(828\) | −25.0662 | − | 41.9886i | −0.871110 | − | 1.45920i | ||||
\(829\) | 9.25865 | + | 9.25865i | 0.321566 | + | 0.321566i | 0.849368 | − | 0.527801i | \(-0.176983\pi\) |
−0.527801 | + | 0.849368i | \(0.676983\pi\) | |||||||
\(830\) | 17.1279 | + | 32.1609i | 0.594518 | + | 1.11632i | ||||
\(831\) | 20.4900 | − | 12.9932i | 0.710792 | − | 0.450730i | ||||
\(832\) | −7.38154 | + | 14.6321i | −0.255909 | + | 0.507276i | ||||
\(833\) | −17.4435 | + | 10.0710i | −0.604382 | + | 0.348940i | ||||
\(834\) | −24.4213 | + | 14.3383i | −0.845642 | + | 0.496494i | ||||
\(835\) | 0.257039 | + | 0.959284i | 0.00889521 | + | 0.0331974i | ||||
\(836\) | −60.4930 | + | 29.6047i | −2.09219 | + | 1.02390i | ||||
\(837\) | 0.879586 | + | 0.121439i | 0.0304030 | + | 0.00419755i | ||||
\(838\) | 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 | \(0.804533\pi\) | |||||||
\(840\) | −5.29965 | − | 3.50845i | −0.182855 | − | 0.121053i | ||||
\(841\) | 6.39158 | − | 3.69018i | 0.220399 | − | 0.127248i | ||||
\(842\) | −15.3855 | − | 16.4768i | −0.530219 | − | 0.567828i | ||||
\(843\) | −26.1137 | − | 5.84679i | −0.899403 | − | 0.201374i | ||||
\(844\) | −32.2867 | + | 28.1424i | −1.11135 | + | 0.968700i | ||||
\(845\) | −12.5315 | + | 12.5315i | −0.431096 | + | 0.431096i | ||||
\(846\) | −18.4989 | − | 28.7070i | −0.636004 | − | 0.986967i | ||||
\(847\) | − | 14.5316i | − | 0.499313i | ||||||
\(848\) | 7.15496 | − | 16.9823i | 0.245702 | − | 0.583176i | ||||
\(849\) | −11.4419 | + | 0.475504i | −0.392685 | + | 0.0163193i | ||||
\(850\) | −0.140284 | + | 4.09584i | −0.00481172 | + | 0.140486i | ||||
\(851\) | 7.93286 | − | 29.6059i | 0.271935 | − | 1.01488i | ||||
\(852\) | 15.1052 | − | 50.8524i | 0.517496 | − | 1.74217i | ||||
\(853\) | −0.499139 | − | 1.86281i | −0.0170902 | − | 0.0637814i | 0.956854 | − | 0.290569i | \(-0.0938445\pi\) |
−0.973944 | + | 0.226787i | \(0.927178\pi\) | |||||||
\(854\) | 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 | \(-0.661463\pi\) |
0.999866 | − | 0.0163473i | \(-0.00520374\pi\) | |||||||
\(858\) | −20.7012 | − | 20.4013i | −0.706728 | − | 0.696488i | ||||
\(859\) | −12.3205 | + | 45.9807i | −0.420370 | + | 1.56884i | 0.353462 | + | 0.935449i | \(0.385004\pi\) |
−0.773831 | + | 0.633392i | \(0.781662\pi\) | |||||||
\(860\) | 2.84235 | + | 1.91166i | 0.0969235 | + | 0.0651871i | ||||
\(861\) | 0.655647 | + | 2.09477i | 0.0223444 | + | 0.0713895i | ||||
\(862\) | 0.140004 | − | 0.0745620i | 0.00476857 | − | 0.00253959i | ||||
\(863\) | −4.03429 | −0.137329 | −0.0686644 | − | 0.997640i | \(-0.521874\pi\) | ||||
−0.0686644 | + | 0.997640i | \(0.521874\pi\) | |||||||
\(864\) | 6.27733 | + | 28.7158i | 0.213559 | + | 0.976930i | ||||
\(865\) | −41.2979 | −1.40417 | ||||||||
\(866\) | 25.8451 | − | 13.7643i | 0.878254 | − | 0.467730i | ||||
\(867\) | 3.95425 | + | 12.6337i | 0.134293 | + | 0.429062i | ||||
\(868\) | −0.182762 | − | 0.122918i | −0.00620333 | − | 0.00417213i | ||||
\(869\) | 16.3461 | − | 61.0045i | 0.554504 | − | 2.06944i | ||||
\(870\) | −16.3305 | − | 16.0939i | −0.553657 | − | 0.545635i | ||||
\(871\) | −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 | ||||
\(875\) | −1.99702 | − | 7.45296i | −0.0675114 | − | 0.251956i | ||||
\(876\) | 9.21068 | − | 31.0082i | 0.311200 | − | 1.04767i | ||||
\(877\) | −10.4278 | + | 38.9169i | −0.352120 | + | 1.31413i | 0.531949 | + | 0.846776i | \(0.321460\pi\) |
−0.884070 | + | 0.467355i | \(0.845207\pi\) | |||||||
\(878\) | −1.93401 | + | 56.4665i | −0.0652695 | + | 1.90565i | ||||
\(879\) | 27.9837 | − | 1.16295i | 0.943868 | − | 0.0392254i | ||||
\(880\) | −17.5877 | − | 43.1978i | −0.592883 | − | 1.45620i | ||||
\(881\) | − | 35.0413i | − | 1.18057i | −0.807195 | − | 0.590285i | \(-0.799015\pi\) | ||
0.807195 | − | 0.590285i | \(-0.200985\pi\) | |||||||
\(882\) | −27.9031 | + | 1.36363i | −0.939547 | + | 0.0459159i | ||||
\(883\) | 4.73704 | − | 4.73704i | 0.159414 | − | 0.159414i | −0.622893 | − | 0.782307i | \(-0.714043\pi\) |
0.782307 | + | 0.622893i | \(0.214043\pi\) | |||||||
\(884\) | 9.44763 | − | 8.23494i | 0.317758 | − | 0.276971i | ||||
\(885\) | −1.78554 | − | 0.399778i | −0.0600201 | − | 0.0134384i | ||||
\(886\) | 4.52617 | + | 4.84721i | 0.152060 | + | 0.162845i | ||||
\(887\) | −12.6364 | + | 7.29561i | −0.424288 | + | 0.244963i | −0.696910 | − | 0.717159i | \(-0.745442\pi\) |
0.272623 | + | 0.962121i | \(0.412109\pi\) | |||||||
\(888\) | −10.1699 | + | 15.3620i | −0.341280 | + | 0.515517i | ||||
\(889\) | 3.29558 | + | 1.90270i | 0.110530 | + | 0.0638146i | ||||
\(890\) | 2.48394 | + | 10.7263i | 0.0832618 | + | 0.359548i | ||||
\(891\) | −51.8908 | − | 4.97919i | −1.73841 | − | 0.166809i | ||||
\(892\) | 27.3351 | − | 13.3775i | 0.915246 | − | 0.447913i | ||||
\(893\) | 12.1123 | + | 45.2036i | 0.405322 | + | 1.51268i | ||||
\(894\) | 46.5377 | − | 27.3232i | 1.55645 | − | 0.913826i | ||||
\(895\) | 18.4785 | − | 10.6686i | 0.617669 | − | 0.356612i | ||||
\(896\) | 1.73072 | − | 7.08278i | 0.0578193 | − | 0.236619i | ||||
\(897\) | −24.4225 | + | 15.4869i | −0.815445 | + | 0.517093i | ||||
\(898\) | 0.595384 | + | 1.11795i | 0.0198682 | + | 0.0373064i | ||||
\(899\) | −0.561832 | − | 0.561832i | −0.0187381 | − | 0.0187381i | ||||
\(900\) | −2.76993 | + | 4.96357i | −0.0923310 | + | 0.165452i | ||||
\(901\) | −9.96490 | + | 9.96490i | −0.331979 | + | 0.331979i | ||||
\(902\) | −4.69909 | + | 15.4069i | −0.156463 | + | 0.512994i | ||||
\(903\) | −0.948836 | + | 0.0394319i | −0.0315753 | + | 0.00131221i | ||||
\(904\) | 6.98147 | + | 15.5963i | 0.232200 | + | 0.518724i | ||||
\(905\) | 1.25193 | + | 2.16840i | 0.0416154 | + | 0.0720801i | ||||
\(906\) | −38.4026 | + | 10.5909i | −1.27584 | + | 0.351859i | ||||
\(907\) | −35.8204 | + | 9.59805i | −1.18940 | + | 0.318698i | −0.798648 | − | 0.601799i | \(-0.794451\pi\) |
−0.390750 | + | 0.920497i | \(0.627784\pi\) | |||||||
\(908\) | 9.77652 | − | 28.5171i | 0.324445 | − | 0.946372i | ||||
\(909\) | 4.72889 | − | 5.58787i | 0.156848 | − | 0.185338i | ||||
\(910\) | −1.98962 | + | 3.18881i | −0.0659554 | + | 0.105708i | ||||
\(911\) | 18.5603 | − | 32.1474i | 0.614931 | − | 1.06509i | −0.375465 | − | 0.926837i | \(-0.622517\pi\) |
0.990397 | − | 0.138256i | \(-0.0441497\pi\) | |||||||
\(912\) | 3.83738 | − | 40.0960i | 0.127068 | − | 1.32771i | ||||
\(913\) | −37.0657 | − | 64.1997i | −1.22670 | − | 2.12470i | ||||
\(914\) | 47.2580 | + | 1.61861i | 1.56315 | + | 0.0535388i | ||||
\(915\) | −10.3586 | + | 3.24215i | −0.342443 | + | 0.107182i | ||||
\(916\) | 16.2220 | − | 14.1398i | 0.535991 | − | 0.467192i | ||||
\(917\) | −0.735495 | − | 0.735495i | −0.0242882 | − | 0.0242882i | ||||
\(918\) | 3.83471 | − | 22.1489i | 0.126564 | − | 0.731022i | ||||
\(919\) | −34.5722 | −1.14043 | −0.570215 | − | 0.821495i | \(-0.693140\pi\) | ||||
−0.570215 | + | 0.821495i | \(0.693140\pi\) | |||||||
\(920\) | −45.8211 | + | 7.35172i | −1.51068 | + | 0.242379i | ||||
\(921\) | −16.8421 | − | 8.81243i | −0.554967 | − | 0.290380i | ||||
\(922\) | −4.83521 | − | 5.17818i | −0.159239 | − | 0.170534i | ||||
\(923\) | −30.3023 | − | 8.11949i | −0.997414 | − | 0.267256i | ||||
\(924\) | 11.0201 | + | 6.76463i | 0.362534 | + | 0.222540i | ||||
\(925\) | −3.44128 | + | 0.922089i | −0.113149 | + | 0.0303181i | ||||
\(926\) | −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 | \(0.213102\pi\) | |||||||
\(930\) | 0.415983 | − | 0.732802i | 0.0136406 | − | 0.0240295i | ||||
\(931\) | 36.9776 | + | 9.90812i | 1.21189 | + | 0.324726i | ||||
\(932\) | 2.29614 | − | 3.41402i | 0.0752125 | − | 0.111830i | ||||
\(933\) | −5.55646 | − | 5.11305i | −0.181910 | − | 0.167394i | ||||
\(934\) | −26.1249 | − | 7.96807i | −0.854833 | − | 0.260723i | ||||
\(935\) | 35.6678i | 1.16646i | ||||||||
\(936\) | 16.8755 | − | 4.16832i | 0.551594 | − | 0.136246i | ||||
\(937\) | 35.3168i | 1.15375i | 0.816833 | + | 0.576874i | \(0.195728\pi\) | ||||
−0.816833 | + | 0.576874i | \(0.804272\pi\) | |||||||
\(938\) | 0.599560 | − | 1.96578i | 0.0195763 | − | 0.0641849i | ||||
\(939\) | 0.964660 | − | 4.30849i | 0.0314805 | − | 0.140602i | ||||
\(940\) | −31.8054 | + | 6.22655i | −1.03738 | + | 0.203088i | ||||
\(941\) | 41.8587 | + | 11.2160i | 1.36456 | + | 0.365632i | 0.865487 | − | 0.500931i | \(-0.167009\pi\) |
0.499069 | + | 0.866563i | \(0.333676\pi\) | |||||||
\(942\) | 50.2617 | − | 29.5097i | 1.63761 | − | 0.961478i | ||||
\(943\) | 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 | ||||
\(947\) | −49.1797 | + | 13.1777i | −1.59813 | + | 0.428217i | −0.944476 | − | 0.328581i | \(-0.893430\pi\) |
−0.653650 | + | 0.756797i | \(0.726763\pi\) | |||||||
\(948\) | 25.9797 | + | 27.4186i | 0.843783 | + | 0.890516i | ||||
\(949\) | −18.4774 | − | 4.95101i | −0.599802 | − | 0.160717i | ||||
\(950\) | 5.69306 | − | 5.31599i | 0.184707 | − | 0.172474i | ||||
\(951\) | 27.7714 | − | 17.6105i | 0.900549 | − | 0.571059i | ||||
\(952\) | −3.26829 | + | 4.51747i | −0.105926 | + | 0.146412i | ||||
\(953\) | −36.4989 | −1.18231 | −0.591157 | − | 0.806556i | \(-0.701329\pi\) | ||||
−0.591157 | + | 0.806556i | \(0.701329\pi\) | |||||||
\(954\) | −18.6105 | + | 5.97439i | −0.602536 | + | 0.193428i | ||||
\(955\) | 11.3184 | + | 11.3184i | 0.366254 | + | 0.366254i | ||||
\(956\) | −16.2736 | − | 1.11607i | −0.526325 | − | 0.0360961i | ||||
\(957\) | 34.3255 | + | 31.5863i | 1.10959 | + | 1.02104i | ||||
\(958\) | 0.133475 | − | 3.89702i | 0.00431238 | − | 0.125907i | ||||
\(959\) | 3.57874 | + | 6.19856i | 0.115564 | + | 0.200162i | ||||
\(960\) | 27.5208 | + | 4.55116i | 0.888230 | + | 0.146888i | ||||
\(961\) | −15.4854 | + | 26.8215i | −0.499529 | + | 0.865210i | ||||
\(962\) | 9.24338 | + | 5.76730i | 0.298019 | + | 0.185945i | ||||
\(963\) | −1.47879 | + | 8.18557i | −0.0476534 | + | 0.263776i | ||||
\(964\) | −10.2464 | − | 20.9371i | −0.330015 | − | 0.674338i | ||||
\(965\) | 11.4899 | − | 3.07872i | 0.369874 | − | 0.0991074i | ||||
\(966\) | 9.03090 | − | 9.16367i | 0.290565 | − | 0.294836i | ||||
\(967\) | 8.71394 | + | 15.0930i | 0.280222 | + | 0.485358i | 0.971439 | − | 0.237289i | \(-0.0762587\pi\) |
−0.691218 | + | 0.722647i | \(0.742925\pi\) | |||||||
\(968\) | 26.0576 | + | 58.2115i | 0.837524 | + | 1.87099i | ||||
\(969\) | −14.2804 | + | 27.2925i | −0.458754 | + | 0.876760i | ||||
\(970\) | −39.9235 | − | 12.1766i | −1.28187 | − | 0.390968i | ||||
\(971\) | 28.3062 | − | 28.3062i | 0.908390 | − | 0.908390i | −0.0877520 | − | 0.996142i | \(-0.527968\pi\) |
0.996142 | + | 0.0877520i | \(0.0279683\pi\) | |||||||
\(972\) | 18.7734 | − | 24.8909i | 0.602158 | − | 0.798377i | ||||
\(973\) | −5.26848 | − | 5.26848i | −0.168900 | − | 0.168900i | ||||
\(974\) | 21.7444 | − | 11.5804i | 0.696736 | − | 0.371060i | ||||
\(975\) | 2.97837 | + | 1.55839i | 0.0953841 | + | 0.0499086i | ||||
\(976\) | −7.52014 | − | 9.92415i | −0.240714 | − | 0.317664i | ||||
\(977\) | 1.76106 | − | 1.01675i | 0.0563414 | − | 0.0325287i | −0.471565 | − | 0.881831i | \(-0.656311\pi\) |
0.527906 | + | 0.849303i | \(0.322977\pi\) | |||||||
\(978\) | −39.5549 | + | 0.288643i | −1.26482 | + | 0.00922980i | ||||
\(979\) | −5.79756 | − | 21.6368i | −0.185291 | − | 0.691515i | ||||
\(980\) | −8.59772 | + | 25.0786i | −0.274644 | + | 0.801107i | ||||
\(981\) | 45.1183 | + | 8.15101i | 1.44052 | + | 0.260242i | ||||
\(982\) | −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 | \(0.495552\pi\) | |||||||
\(984\) | −6.38268 | − | 7.21562i | −0.203472 | − | 0.230026i | ||||
\(985\) | −28.7709 | + | 16.6109i | −0.916716 | + | 0.529266i | ||||
\(986\) | −14.7016 | + | 13.7279i | −0.468194 | + | 0.437184i | ||||
\(987\) | 6.08412 | − | 6.61173i | 0.193660 | − | 0.210454i | ||||
\(988\) | −23.7642 | − | 1.62978i | −0.756039 | − | 0.0518502i | ||||
\(989\) | −4.90308 | + | 4.90308i | −0.155909 | + | 0.155909i | ||||
\(990\) | −22.6144 | + | 43.9987i | −0.718732 | + | 1.39837i | ||||
\(991\) | − | 22.8049i | − | 0.724420i | −0.932096 | − | 0.362210i | \(-0.882022\pi\) | ||
0.932096 | − | 0.362210i | \(-0.117978\pi\) | |||||||
\(992\) | 0.952527 | + | 0.164671i | 0.0302428 | + | 0.00522829i | ||||
\(993\) | −20.0060 | − | 31.5491i | −0.634872 | − | 1.00118i | ||||
\(994\) | 13.9487 | + | 0.477750i | 0.442426 | + | 0.0151533i | ||||
\(995\) | −0.330049 | + | 1.23176i | −0.0104632 | + | 0.0390494i | ||||
\(996\) | 44.3197 | + | 1.19426i | 1.40432 | + | 0.0378416i | ||||
\(997\) | 9.43584 | + | 35.2150i | 0.298836 | + | 1.11527i | 0.938123 | + | 0.346303i | \(0.112563\pi\) |
−0.639287 | + | 0.768968i | \(0.720770\pi\) | |||||||
\(998\) | 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.83.21 | yes | 88 | |
3.2 | odd | 2 | 432.2.v.a.35.2 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.47.10 | 88 | |||
9.4 | even | 3 | 432.2.v.a.179.10 | 88 | |||
9.5 | odd | 6 | inner | 144.2.u.a.131.13 | yes | 88 | |
12.11 | even | 2 | 1728.2.z.a.1007.16 | 88 | |||
16.5 | even | 4 | 576.2.y.a.335.20 | 88 | |||
16.11 | odd | 4 | inner | 144.2.u.a.11.13 | ✓ | 88 | |
36.23 | even | 6 | 576.2.y.a.239.20 | 88 | |||
36.31 | odd | 6 | 1728.2.z.a.1583.16 | 88 | |||
48.5 | odd | 4 | 1728.2.z.a.143.16 | 88 | |||
48.11 | even | 4 | 432.2.v.a.251.10 | 88 | |||
144.5 | odd | 12 | 576.2.y.a.527.10 | 88 | |||
144.59 | even | 12 | inner | 144.2.u.a.59.21 | yes | 88 | |
144.85 | even | 12 | 1728.2.z.a.719.16 | 88 | |||
144.139 | odd | 12 | 432.2.v.a.395.2 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.13 | ✓ | 88 | 16.11 | odd | 4 | inner | |
144.2.u.a.59.21 | yes | 88 | 144.59 | even | 12 | inner | |
144.2.u.a.83.21 | yes | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.131.13 | yes | 88 | 9.5 | odd | 6 | inner | |
432.2.v.a.35.2 | 88 | 3.2 | odd | 2 | |||
432.2.v.a.179.10 | 88 | 9.4 | even | 3 | |||
432.2.v.a.251.10 | 88 | 48.11 | even | 4 | |||
432.2.v.a.395.2 | 88 | 144.139 | odd | 12 | |||
576.2.y.a.47.10 | 88 | 4.3 | odd | 2 | |||
576.2.y.a.239.20 | 88 | 36.23 | even | 6 | |||
576.2.y.a.335.20 | 88 | 16.5 | even | 4 | |||
576.2.y.a.527.10 | 88 | 144.5 | odd | 12 | |||
1728.2.z.a.143.16 | 88 | 48.5 | odd | 4 | |||
1728.2.z.a.719.16 | 88 | 144.85 | even | 12 | |||
1728.2.z.a.1007.16 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.1583.16 | 88 | 36.31 | odd | 6 |