Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [459,2,Mod(44,459)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(459, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([40, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("459.44");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 459 = 3^{3} \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 459.y (of order \(48\), degree \(16\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.66513345278\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{48})\) |
Twist minimal: | no (minimal twist has level 153) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 116.1 | ||
Character | \(\chi\) | \(=\) | 459.116 |
Dual form | 459.2.y.a.368.1 |
$q$-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 \(\left(\mathbb{Z}/459\mathbb{Z}\right)^\times\).
\(n\) | \(137\) | \(190\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{9}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.37615 | − | 0.312826i | −1.68019 | − | 0.221201i | −0.770781 | − | 0.637101i | \(-0.780134\pi\) |
−0.909411 | + | 0.415899i | \(0.863467\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 3.61637 | + | 0.969004i | 1.80819 | + | 0.484502i | ||||
\(5\) | 0.222937 | − | 0.452071i | 0.0997003 | − | 0.202172i | −0.841308 | − | 0.540557i | \(-0.818214\pi\) |
0.941008 | + | 0.338384i | \(0.109880\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.665919 | + | 0.328395i | −0.251694 | + | 0.124122i | −0.563760 | − | 0.825939i | \(-0.690646\pi\) |
0.312066 | + | 0.950060i | \(0.398979\pi\) | |||||||
\(8\) | −3.86148 | − | 1.59948i | −1.36524 | − | 0.565500i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.671150 | + | 1.00445i | −0.212236 | + | 0.317634i | ||||
\(11\) | −0.966772 | − | 0.328175i | −0.291493 | − | 0.0989485i | 0.171863 | − | 0.985121i | \(-0.445021\pi\) |
−0.463356 | + | 0.886172i | \(0.653355\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.39452 | − | 5.20440i | 0.386769 | − | 1.44344i | −0.448591 | − | 0.893737i | \(-0.648074\pi\) |
0.835360 | − | 0.549704i | \(-0.185259\pi\) | |||||||
\(14\) | 1.68505 | − | 0.571999i | 0.450349 | − | 0.152873i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.19038 | + | 1.26462i | 0.547596 | + | 0.316155i | ||||
\(17\) | 3.71857 | + | 1.78107i | 0.901886 | + | 0.431973i | ||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.37354 | + | 1.39737i | −0.773944 | + | 0.320578i | −0.734469 | − | 0.678643i | \(-0.762569\pi\) |
−0.0394751 | + | 0.999221i | \(0.512569\pi\) | |||||||
\(20\) | 1.24428 | − | 1.41883i | 0.278230 | − | 0.317260i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.19453 | + | 1.08222i | 0.467876 | + | 0.230731i | ||||
\(23\) | −0.352872 | − | 0.402373i | −0.0735788 | − | 0.0839006i | 0.713879 | − | 0.700269i | \(-0.246937\pi\) |
−0.787458 | + | 0.616368i | \(0.788603\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.88914 | + | 3.76520i | 0.577828 | + | 0.753040i | ||||
\(26\) | −4.94165 | + | 11.9302i | −0.969137 | + | 2.33970i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.72643 | + | 0.542320i | −0.515246 | + | 0.102489i | ||||
\(29\) | −0.414188 | − | 6.31929i | −0.0769129 | − | 1.17346i | −0.845592 | − | 0.533829i | \(-0.820753\pi\) |
0.768679 | − | 0.639634i | \(-0.220914\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.330507 | − | 0.973643i | −0.0593609 | − | 0.174871i | 0.913204 | − | 0.407502i | \(-0.133600\pi\) |
−0.972565 | + | 0.232631i | \(0.925267\pi\) | |||||||
\(32\) | 1.82278 | + | 1.39867i | 0.322225 | + | 0.247252i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −8.27872 | − | 5.39536i | −1.41979 | − | 0.925296i | ||||
\(35\) | 0.374254i | 0.0632604i | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.20919 | − | 11.1064i | 0.363189 | − | 1.82587i | −0.176856 | − | 0.984237i | \(-0.556593\pi\) |
0.540045 | − | 0.841636i | \(-0.318407\pi\) | |||||||
\(38\) | 8.45317 | − | 2.26502i | 1.37129 | − | 0.367435i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.58394 | + | 1.38908i | −0.250443 | + | 0.219633i | ||||
\(41\) | 6.68958 | + | 0.438458i | 1.04474 | + | 0.0684757i | 0.578094 | − | 0.815970i | \(-0.303797\pi\) |
0.466643 | + | 0.884446i | \(0.345463\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.33510 | − | 1.79179i | 0.356100 | − | 0.273245i | −0.415183 | − | 0.909738i | \(-0.636282\pi\) |
0.771282 | + | 0.636493i | \(0.219616\pi\) | |||||||
\(44\) | −3.17821 | − | 2.12361i | −0.479133 | − | 0.320146i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.712603 | + | 1.06649i | 0.105068 | + | 0.157245i | ||||
\(47\) | −3.06452 | − | 11.4370i | −0.447007 | − | 1.66825i | −0.710583 | − | 0.703614i | \(-0.751569\pi\) |
0.263576 | − | 0.964639i | \(-0.415098\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.92573 | + | 5.11610i | −0.560818 | + | 0.730872i | ||||
\(50\) | −5.68718 | − | 9.85048i | −0.804288 | − | 1.39307i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 10.0862 | − | 17.4698i | 1.39870 | − | 2.42262i | ||||
\(53\) | −3.30651 | − | 7.98262i | −0.454184 | − | 1.09650i | −0.970716 | − | 0.240230i | \(-0.922777\pi\) |
0.516532 | − | 0.856268i | \(-0.327223\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.363887 | + | 0.363887i | −0.0490666 | + | 0.0490666i | ||||
\(56\) | 3.09669 | − | 0.202968i | 0.413813 | − | 0.0271227i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.992666 | + | 15.1452i | −0.130343 | + | 1.98866i | ||||
\(59\) | −1.14780 | − | 8.71842i | −0.149431 | − | 1.13504i | −0.887663 | − | 0.460494i | \(-0.847672\pi\) |
0.738232 | − | 0.674547i | \(-0.235661\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.81827 | − | 5.71489i | −0.360843 | − | 0.731716i | 0.638437 | − | 0.769674i | \(-0.279581\pi\) |
−0.999279 | + | 0.0379579i | \(0.987915\pi\) | |||||||
\(62\) | 0.480754 | + | 2.41691i | 0.0610558 | + | 0.306948i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.47053 | − | 7.47053i | −0.933817 | − | 0.933817i | ||||
\(65\) | −2.04187 | − | 1.79067i | −0.253263 | − | 0.222105i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 8.82398 | − | 5.09452i | 1.07802 | − | 0.622395i | 0.147659 | − | 0.989038i | \(-0.452826\pi\) |
0.930362 | + | 0.366643i | \(0.119493\pi\) | |||||||
\(68\) | 11.7219 | + | 10.0443i | 1.42149 | + | 1.21805i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.117076 | − | 0.889283i | 0.0139933 | − | 0.106290i | ||||
\(71\) | 4.19907 | + | 0.835247i | 0.498338 | + | 0.0991255i | 0.437858 | − | 0.899044i | \(-0.355737\pi\) |
0.0604793 | + | 0.998169i | \(0.480737\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.65455 | − | 1.77371i | 0.310691 | − | 0.207597i | −0.390442 | − | 0.920627i | \(-0.627678\pi\) |
0.701133 | + | 0.713030i | \(0.252678\pi\) | |||||||
\(74\) | −8.72372 | + | 25.6993i | −1.01411 | + | 2.98748i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −13.5540 | + | 1.78442i | −1.55476 | + | 0.204687i | ||||
\(77\) | 0.751563 | − | 0.0989451i | 0.0856485 | − | 0.0112758i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3.32914 | + | 9.80734i | −0.374558 | + | 1.10341i | 0.582330 | + | 0.812953i | \(0.302141\pi\) |
−0.956887 | + | 0.290459i | \(0.906192\pi\) | |||||||
\(80\) | 1.06001 | − | 0.708279i | 0.118513 | − | 0.0791880i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −15.7583 | − | 3.13452i | −1.74021 | − | 0.346149i | ||||
\(83\) | 0.169437 | − | 1.28700i | 0.0185982 | − | 0.141267i | −0.979627 | − | 0.200828i | \(-0.935637\pi\) |
0.998225 | + | 0.0595610i | \(0.0189701\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.63418 | − | 1.28399i | 0.177251 | − | 0.139269i | ||||
\(86\) | −6.10907 | + | 3.52707i | −0.658758 | + | 0.380334i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.20826 | + | 2.81357i | 0.342002 | + | 0.299927i | ||||
\(89\) | 2.39586 | + | 2.39586i | 0.253961 | + | 0.253961i | 0.822592 | − | 0.568632i | \(-0.192527\pi\) |
−0.568632 | + | 0.822592i | \(0.692527\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.780465 | + | 3.92366i | 0.0818149 | + | 0.411311i | ||||
\(92\) | −0.886215 | − | 1.79707i | −0.0923943 | − | 0.187357i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 3.70399 | + | 28.1346i | 0.382037 | + | 2.90186i | ||||
\(95\) | −0.120377 | + | 1.83661i | −0.0123505 | + | 0.188432i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 15.9021 | − | 1.04228i | 1.61461 | − | 0.105827i | 0.768863 | − | 0.639413i | \(-0.220823\pi\) |
0.845746 | + | 0.533586i | \(0.179156\pi\) | |||||||
\(98\) | 10.9286 | − | 10.9286i | 1.10395 | − | 1.10395i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 6.79971 | + | 16.4160i | 0.679971 | + | 1.64160i | ||||
\(101\) | −6.54019 | + | 11.3279i | −0.650773 | + | 1.12717i | 0.332163 | + | 0.943222i | \(0.392222\pi\) |
−0.982936 | + | 0.183949i | \(0.941112\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −3.23969 | − | 5.61131i | −0.319216 | − | 0.552899i | 0.661108 | − | 0.750290i | \(-0.270086\pi\) |
−0.980325 | + | 0.197391i | \(0.936753\pi\) | |||||||
\(104\) | −13.7092 | + | 17.8662i | −1.34430 | + | 1.75192i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 5.35959 | + | 20.0023i | 0.520570 | + | 1.94279i | ||||
\(107\) | 8.20002 | + | 12.2722i | 0.792726 | + | 1.18640i | 0.978992 | + | 0.203899i | \(0.0653614\pi\) |
−0.186266 | + | 0.982499i | \(0.559639\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.866335 | + | 0.578867i | 0.0829798 | + | 0.0554454i | 0.596368 | − | 0.802711i | \(-0.296610\pi\) |
−0.513388 | + | 0.858156i | \(0.671610\pi\) | |||||||
\(110\) | 0.978484 | − | 0.750817i | 0.0932948 | − | 0.0715876i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.87391 | − | 0.122823i | −0.177068 | − | 0.0116057i | ||||
\(113\) | −3.58041 | + | 3.13993i | −0.336817 | + | 0.295380i | −0.811000 | − | 0.585046i | \(-0.801077\pi\) |
0.474184 | + | 0.880426i | \(0.342743\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.260569 | + | 0.0698193i | −0.0242982 | + | 0.00651068i | ||||
\(116\) | 4.62556 | − | 23.2543i | 0.429473 | − | 2.15911i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 21.0753i | 1.94014i | ||||||||
\(119\) | −3.06116 | + | 0.0351111i | −0.280616 | + | 0.00321863i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.89994 | − | 6.06183i | −0.718176 | − | 0.551076i | ||||
\(122\) | 4.90887 | + | 14.4611i | 0.444428 | + | 1.30924i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.251773 | − | 3.84132i | −0.0226099 | − | 0.344961i | ||||
\(125\) | 4.81807 | − | 0.958374i | 0.430941 | − | 0.0857195i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.87472 | + | 6.94019i | −0.255090 | + | 0.615843i | −0.998601 | − | 0.0528818i | \(-0.983159\pi\) |
0.743510 | + | 0.668724i | \(0.233159\pi\) | |||||||
\(128\) | 12.6168 | + | 16.4425i | 1.11518 | + | 1.45333i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 4.29162 | + | 4.89365i | 0.376400 | + | 0.429202i | ||||
\(131\) | −3.94700 | − | 1.94645i | −0.344851 | − | 0.170062i | 0.261612 | − | 0.965173i | \(-0.415746\pi\) |
−0.606464 | + | 0.795111i | \(0.707412\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.78762 | − | 2.03839i | 0.155006 | − | 0.176751i | ||||
\(134\) | −22.5608 | + | 9.34498i | −1.94895 | + | 0.807284i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −11.5104 | − | 12.8253i | −0.987009 | − | 1.09976i | ||||
\(137\) | −5.46680 | − | 3.15626i | −0.467060 | − | 0.269657i | 0.247948 | − | 0.968773i | \(-0.420244\pi\) |
−0.715008 | + | 0.699116i | \(0.753577\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −14.3494 | + | 4.87096i | −1.21710 | + | 0.413149i | −0.854822 | − | 0.518922i | \(-0.826334\pi\) |
−0.362276 | + | 0.932071i | \(0.618000\pi\) | |||||||
\(140\) | −0.362654 | + | 1.35344i | −0.0306498 | + | 0.114387i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −9.71633 | − | 3.29825i | −0.815376 | − | 0.276783i | ||||
\(143\) | −3.05613 | + | 4.57383i | −0.255567 | + | 0.382483i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.94911 | − | 1.22156i | −0.244910 | − | 0.101445i | ||||
\(146\) | −6.86246 | + | 3.38419i | −0.567941 | + | 0.280078i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 18.7514 | − | 38.0240i | 1.54135 | − | 3.12555i | ||||
\(149\) | 7.14890 | + | 1.91554i | 0.585661 | + | 0.156927i | 0.539469 | − | 0.842005i | \(-0.318625\pi\) |
0.0461915 | + | 0.998933i | \(0.485292\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.43620 | + | 0.320732i | 0.198255 | + | 0.0261008i | 0.229000 | − | 0.973427i | \(-0.426455\pi\) |
−0.0307447 | + | 0.999527i | \(0.509788\pi\) | |||||||
\(152\) | 15.2619 | 1.23790 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.81678 | −0.146400 | ||||||||
\(155\) | −0.513838 | − | 0.0676480i | −0.0412724 | − | 0.00543362i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 9.25817 | + | 2.48072i | 0.738883 | + | 0.197983i | 0.608581 | − | 0.793491i | \(-0.291739\pi\) |
0.130301 | + | 0.991474i | \(0.458406\pi\) | |||||||
\(158\) | 10.9785 | − | 22.2623i | 0.873405 | − | 1.77109i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.03866 | − | 0.512211i | 0.0821133 | − | 0.0404938i | ||||
\(161\) | 0.367121 | + | 0.152067i | 0.0289332 | + | 0.0119845i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.62885 | − | 5.43096i | 0.284234 | − | 0.425386i | −0.661689 | − | 0.749779i | \(-0.730160\pi\) |
0.945922 | + | 0.324393i | \(0.105160\pi\) | |||||||
\(164\) | 23.7671 | + | 8.06786i | 1.85590 | + | 0.629994i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.805217 | + | 3.00511i | −0.0624970 | + | 0.233242i | ||||
\(167\) | −3.86302 | + | 1.31132i | −0.298929 | + | 0.101473i | −0.466875 | − | 0.884323i | \(-0.654620\pi\) |
0.167945 | + | 0.985796i | \(0.446287\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −13.8828 | − | 8.01523i | −1.06791 | − | 0.616556i | ||||
\(170\) | −4.28471 | + | 2.53974i | −0.328623 | + | 0.194790i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 10.1809 | − | 4.21705i | 0.776283 | − | 0.321547i | ||||
\(173\) | −5.42802 | + | 6.18947i | −0.412685 | + | 0.470577i | −0.920417 | − | 0.390938i | \(-0.872151\pi\) |
0.507732 | + | 0.861515i | \(0.330484\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.16041 | − | 1.55854i | −0.238904 | − | 0.117815i | ||||
\(176\) | −1.70259 | − | 1.94143i | −0.128337 | − | 0.146341i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −4.94343 | − | 6.44241i | −0.370526 | − | 0.482879i | ||||
\(179\) | −4.54443 | + | 10.9712i | −0.339667 | + | 0.820028i | 0.658081 | + | 0.752947i | \(0.271369\pi\) |
−0.997748 | + | 0.0670807i | \(0.978631\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 17.5732 | − | 3.49554i | 1.30621 | − | 0.259821i | 0.507559 | − | 0.861617i | \(-0.330548\pi\) |
0.798650 | + | 0.601796i | \(0.205548\pi\) | |||||||
\(182\) | −0.627077 | − | 9.56735i | −0.0464821 | − | 0.709179i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.719020 | + | 2.11816i | 0.0530068 | + | 0.156153i | ||||
\(185\) | −4.52835 | − | 3.47472i | −0.332931 | − | 0.255467i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.01051 | − | 2.94223i | −0.220150 | − | 0.215157i | ||||
\(188\) | − | 44.3299i | − | 3.23309i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.860573 | − | 4.32639i | 0.0624325 | − | 0.313869i | ||||
\(191\) | 20.7356 | − | 5.55608i | 1.50037 | − | 0.402024i | 0.587148 | − | 0.809479i | \(-0.300251\pi\) |
0.913225 | + | 0.407456i | \(0.133584\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −6.77019 | + | 5.93730i | −0.487329 | + | 0.427376i | −0.867423 | − | 0.497572i | \(-0.834225\pi\) |
0.380094 | + | 0.924948i | \(0.375892\pi\) | |||||||
\(194\) | −38.1117 | − | 2.49797i | −2.73626 | − | 0.179344i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −19.1544 | + | 14.6977i | −1.36817 | + | 1.04984i | ||||
\(197\) | −15.1511 | − | 10.1237i | −1.07947 | − | 0.721281i | −0.117130 | − | 0.993117i | \(-0.537369\pi\) |
−0.962344 | + | 0.271836i | \(0.912369\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 13.9975 | + | 20.9487i | 0.992255 | + | 1.48501i | 0.870326 | + | 0.492476i | \(0.163908\pi\) |
0.121929 | + | 0.992539i | \(0.461092\pi\) | |||||||
\(200\) | −5.13400 | − | 19.1603i | −0.363029 | − | 1.35484i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 19.0841 | − | 24.8709i | 1.34275 | − | 1.74991i | ||||
\(203\) | 2.35104 | + | 4.07212i | 0.165011 | + | 0.285807i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.68957 | − | 2.92642i | 0.118004 | − | 0.204390i | ||||
\(206\) | 5.94263 | + | 14.3468i | 0.414043 | + | 0.999587i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 9.63611 | − | 9.63611i | 0.668144 | − | 0.668144i | ||||
\(209\) | 3.72003 | − | 0.243824i | 0.257320 | − | 0.0168656i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.988397 | − | 15.0800i | 0.0680441 | − | 1.03815i | −0.818200 | − | 0.574934i | \(-0.805028\pi\) |
0.886244 | − | 0.463218i | \(-0.153305\pi\) | |||||||
\(212\) | −4.22238 | − | 32.0722i | −0.289994 | − | 2.20273i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −15.6454 | − | 31.7258i | −1.06950 | − | 2.16873i | ||||
\(215\) | −0.289435 | − | 1.45509i | −0.0197393 | − | 0.0992361i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.539830 | + | 0.539830i | 0.0366461 | + | 0.0366461i | ||||
\(218\) | −1.87746 | − | 1.64649i | −0.127157 | − | 0.111514i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.66856 | + | 0.963344i | −0.112494 | + | 0.0649487i | ||||
\(221\) | 14.4550 | − | 16.8692i | 0.972350 | − | 1.13475i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −2.01017 | + | 15.2687i | −0.134611 | + | 1.02247i | 0.782166 | + | 0.623070i | \(0.214115\pi\) |
−0.916777 | + | 0.399400i | \(0.869218\pi\) | |||||||
\(224\) | −1.67314 | − | 0.332808i | −0.111791 | − | 0.0222366i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 9.48984 | − | 6.34091i | 0.631255 | − | 0.421791i | ||||
\(227\) | −5.72342 | + | 16.8607i | −0.379877 | + | 1.11908i | 0.573993 | + | 0.818860i | \(0.305394\pi\) |
−0.953870 | + | 0.300221i | \(0.902940\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −7.87450 | + | 1.03670i | −0.520362 | + | 0.0685069i | −0.386132 | − | 0.922443i | \(-0.626189\pi\) |
−0.134229 | + | 0.990950i | \(0.542856\pi\) | |||||||
\(230\) | 0.640993 | − | 0.0843883i | 0.0422658 | − | 0.00556440i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −8.50818 | + | 25.0643i | −0.558589 | + | 1.64555i | ||||
\(233\) | 15.3673 | − | 10.2681i | 1.00675 | − | 0.672687i | 0.0611841 | − | 0.998126i | \(-0.480512\pi\) |
0.945563 | + | 0.325440i | \(0.105512\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −5.85351 | − | 1.16434i | −0.381841 | − | 0.0759529i | ||||
\(236\) | 4.29731 | − | 32.6413i | 0.279731 | − | 2.12477i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 7.28476 | + | 0.874182i | 0.472201 | + | 0.0566648i | ||||
\(239\) | −14.9969 | + | 8.65844i | −0.970067 | + | 0.560068i | −0.899257 | − | 0.437422i | \(-0.855892\pi\) |
−0.0708101 | + | 0.997490i | \(0.522558\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 9.34914 | + | 8.19898i | 0.602231 | + | 0.528143i | 0.905271 | − | 0.424835i | \(-0.139668\pi\) |
−0.303039 | + | 0.952978i | \(0.598001\pi\) | |||||||
\(242\) | 16.8751 | + | 16.8751i | 1.08477 | + | 1.08477i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −4.65417 | − | 23.3981i | −0.297953 | − | 1.49791i | ||||
\(245\) | 1.43765 | + | 2.91527i | 0.0918483 | + | 0.186250i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.56800 | + | 19.5059i | 0.163398 | + | 1.24113i | ||||
\(248\) | −0.281073 | + | 4.28834i | −0.0178481 | + | 0.272310i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −11.7483 | + | 0.770021i | −0.743025 | + | 0.0487004i | ||||
\(251\) | −12.5986 | + | 12.5986i | −0.795218 | + | 0.795218i | −0.982337 | − | 0.187119i | \(-0.940085\pi\) |
0.187119 | + | 0.982337i | \(0.440085\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.209098 | + | 0.504807i | 0.0131459 | + | 0.0317369i | ||||
\(254\) | 9.00184 | − | 15.5916i | 0.564826 | − | 0.978307i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −14.2708 | − | 24.7178i | −0.891925 | − | 1.54486i | ||||
\(257\) | 6.82292 | − | 8.89180i | 0.425602 | − | 0.554655i | −0.530502 | − | 0.847684i | \(-0.677996\pi\) |
0.956104 | + | 0.293029i | \(0.0946631\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.17613 | + | 8.12142i | 0.135218 | + | 0.504640i | ||||
\(260\) | −5.64900 | − | 8.45432i | −0.350336 | − | 0.524315i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 8.76977 | + | 5.85977i | 0.541798 | + | 0.362018i | ||||
\(263\) | −13.2633 | + | 10.1773i | −0.817853 | + | 0.627560i | −0.930590 | − | 0.366064i | \(-0.880705\pi\) |
0.112737 | + | 0.993625i | \(0.464038\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.34585 | − | 0.284842i | −0.266964 | − | 0.0174977i | ||||
\(266\) | −4.88531 | + | 4.28430i | −0.299537 | + | 0.262687i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 36.8474 | − | 9.87323i | 2.25081 | − | 0.603104i | ||||
\(269\) | −1.87839 | + | 9.44333i | −0.114528 | + | 0.575770i | 0.880319 | + | 0.474382i | \(0.157328\pi\) |
−0.994847 | + | 0.101388i | \(0.967672\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 21.5828i | − | 1.31106i | −0.755168 | − | 0.655531i | \(-0.772445\pi\) | ||
0.755168 | − | 0.655531i | \(-0.227555\pi\) | |||||||
\(272\) | 5.89273 | + | 8.60381i | 0.357299 | + | 0.521682i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 12.0026 | + | 9.20990i | 0.725102 | + | 0.556390i | ||||
\(275\) | −1.55750 | − | 4.58823i | −0.0939205 | − | 0.276681i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.67954 | + | 25.6248i | 0.100914 | + | 1.53964i | 0.685356 | + | 0.728208i | \(0.259647\pi\) |
−0.584443 | + | 0.811435i | \(0.698687\pi\) | |||||||
\(278\) | 35.6200 | − | 7.08526i | 2.13635 | − | 0.424946i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.598610 | − | 1.44517i | 0.0357738 | − | 0.0863656i | ||||
\(281\) | −7.10351 | − | 9.25748i | −0.423760 | − | 0.552255i | 0.531869 | − | 0.846826i | \(-0.321490\pi\) |
−0.955629 | + | 0.294572i | \(0.904823\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.720976 | + | 0.822116i | 0.0428576 | + | 0.0488697i | 0.772871 | − | 0.634563i | \(-0.218820\pi\) |
−0.730014 | + | 0.683432i | \(0.760486\pi\) | |||||||
\(284\) | 14.3760 | + | 7.08948i | 0.853061 | + | 0.420683i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 8.69264 | − | 9.91206i | 0.514007 | − | 0.586112i | ||||
\(287\) | −4.59870 | + | 1.90485i | −0.271453 | + | 0.112439i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 10.6556 | + | 13.2461i | 0.626798 | + | 0.779182i | ||||
\(290\) | 6.62538 | + | 3.82517i | 0.389056 | + | 0.224622i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 11.3186 | − | 3.84213i | 0.662369 | − | 0.224844i | ||||
\(293\) | −0.611280 | + | 2.28133i | −0.0357113 | + | 0.133276i | −0.981480 | − | 0.191564i | \(-0.938644\pi\) |
0.945769 | + | 0.324841i | \(0.105311\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −4.19723 | − | 1.42477i | −0.244372 | − | 0.0829532i | ||||
\(296\) | −26.2951 | + | 39.3534i | −1.52837 | + | 2.28737i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −16.3876 | − | 6.78798i | −0.949310 | − | 0.393217i | ||||
\(299\) | −2.58620 | + | 1.27537i | −0.149564 | + | 0.0737566i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.966575 | + | 1.96002i | −0.0557125 | + | 0.112974i | ||||
\(302\) | −5.68844 | − | 1.52421i | −0.327333 | − | 0.0877086i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −9.15649 | − | 1.20547i | −0.525161 | − | 0.0691387i | ||||
\(305\) | −3.21183 | −0.183909 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −31.4910 | −1.79729 | −0.898644 | − | 0.438678i | \(-0.855447\pi\) | ||||
−0.898644 | + | 0.438678i | \(0.855447\pi\) | |||||||
\(308\) | 2.81381 | + | 0.370445i | 0.160332 | + | 0.0211081i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1.19979 | + | 0.321484i | 0.0681437 | + | 0.0182590i | ||||
\(311\) | 4.98640 | − | 10.1114i | 0.282753 | − | 0.573366i | −0.708443 | − | 0.705768i | \(-0.750602\pi\) |
0.991196 | + | 0.132402i | \(0.0422689\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 7.54591 | − | 3.72123i | 0.426520 | − | 0.210336i | −0.216343 | − | 0.976317i | \(-0.569413\pi\) |
0.642863 | + | 0.765981i | \(0.277746\pi\) | |||||||
\(314\) | −21.2228 | − | 8.79076i | −1.19767 | − | 0.496091i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −21.5428 | + | 32.2411i | −1.21188 | + | 1.81370i | ||||
\(317\) | −1.22576 | − | 0.416090i | −0.0688456 | − | 0.0233699i | 0.286804 | − | 0.957989i | \(-0.407407\pi\) |
−0.355650 | + | 0.934619i | \(0.615740\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.67341 | + | 6.24524i | −0.0936929 | + | 0.349667i | ||||
\(320\) | −5.04267 | + | 1.71175i | −0.281894 | + | 0.0956900i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.824764 | − | 0.476178i | −0.0459623 | − | 0.0265364i | ||||
\(323\) | −15.0336 | − | 0.812309i | −0.836491 | − | 0.0451981i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 23.6246 | − | 9.78561i | 1.31045 | − | 0.542808i | ||||
\(326\) | −10.3216 | + | 11.7696i | −0.571663 | + | 0.651856i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −25.1303 | − | 12.3929i | −1.38759 | − | 0.684284i | ||||
\(329\) | 5.79656 | + | 6.60972i | 0.319575 | + | 0.364405i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.04081 | + | 5.26609i | 0.222103 | + | 0.289450i | 0.891093 | − | 0.453821i | \(-0.149940\pi\) |
−0.668990 | + | 0.743272i | \(0.733273\pi\) | |||||||
\(332\) | 1.85986 | − | 4.49010i | 0.102073 | − | 0.246426i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 9.58932 | − | 1.90744i | 0.524705 | − | 0.104370i | ||||
\(335\) | −0.335898 | − | 5.12482i | −0.0183521 | − | 0.279999i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2.42739 | − | 7.15085i | −0.132228 | − | 0.389532i | 0.860570 | − | 0.509333i | \(-0.170108\pi\) |
−0.992798 | + | 0.119801i | \(0.961774\pi\) | |||||||
\(338\) | 30.4802 | + | 23.3883i | 1.65790 | + | 1.27215i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 7.15399 | − | 3.05987i | 0.387980 | − | 0.165945i | ||||
\(341\) | 1.04976i | 0.0568474i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 1.94808 | − | 9.79366i | 0.105186 | − | 0.528808i | ||||
\(344\) | −11.8829 | + | 3.18400i | −0.640681 | + | 0.171670i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 14.8340 | − | 13.0091i | 0.797482 | − | 0.699373i | ||||
\(347\) | 27.3689 | + | 1.79386i | 1.46924 | + | 0.0962992i | 0.778884 | − | 0.627168i | \(-0.215786\pi\) |
0.690358 | + | 0.723468i | \(0.257453\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −8.60687 | + | 6.60428i | −0.460715 | + | 0.353519i | −0.812892 | − | 0.582414i | \(-0.802108\pi\) |
0.352177 | + | 0.935933i | \(0.385442\pi\) | |||||||
\(350\) | 7.02204 | + | 4.69198i | 0.375344 | + | 0.250797i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −1.30320 | − | 1.95038i | −0.0694610 | − | 0.103956i | ||||
\(353\) | 1.82756 | + | 6.82053i | 0.0972710 | + | 0.363020i | 0.997354 | − | 0.0726982i | \(-0.0231610\pi\) |
−0.900083 | + | 0.435719i | \(0.856494\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.31372 | − | 1.71207i | 0.0697249 | − | 0.0908672i | ||||
\(356\) | 6.34272 | + | 10.9859i | 0.336164 | + | 0.582253i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 14.2303 | − | 24.6477i | 0.752096 | − | 1.30267i | ||||
\(359\) | −1.46983 | − | 3.54849i | −0.0775748 | − | 0.187282i | 0.880334 | − | 0.474354i | \(-0.157318\pi\) |
−0.957909 | + | 0.287072i | \(0.907318\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −4.00687 | + | 4.00687i | −0.210888 | + | 0.210888i | ||||
\(362\) | −42.8501 | + | 2.80855i | −2.25215 | + | 0.147614i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.979593 | + | 14.9457i | −0.0513446 | + | 0.783367i | ||||
\(365\) | −0.210047 | − | 1.59547i | −0.0109944 | − | 0.0835106i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −6.58764 | − | 13.3584i | −0.343872 | − | 0.697303i | 0.654395 | − | 0.756153i | \(-0.272923\pi\) |
−0.998267 | + | 0.0588497i | \(0.981257\pi\) | |||||||
\(368\) | −0.264076 | − | 1.32760i | −0.0137659 | − | 0.0692059i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 9.67305 | + | 9.67305i | 0.502878 | + | 0.502878i | ||||
\(371\) | 4.82332 | + | 4.22994i | 0.250414 | + | 0.219607i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 3.87184 | − | 2.23541i | 0.200476 | − | 0.115745i | −0.396401 | − | 0.918077i | \(-0.629741\pi\) |
0.596878 | + | 0.802332i | \(0.296408\pi\) | |||||||
\(374\) | 6.23301 | + | 7.93295i | 0.322302 | + | 0.410203i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −6.45956 | + | 49.0652i | −0.333126 | + | 2.53034i | ||||
\(377\) | −33.4657 | − | 6.65675i | −1.72357 | − | 0.342840i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −12.0411 | + | 8.04562i | −0.618511 | + | 0.413276i | −0.824968 | − | 0.565180i | \(-0.808807\pi\) |
0.206457 | + | 0.978456i | \(0.433807\pi\) | |||||||
\(380\) | −2.21501 | + | 6.52520i | −0.113628 | + | 0.334736i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −51.0089 | + | 6.71545i | −2.60984 | + | 0.343592i | ||||
\(383\) | −1.46284 | + | 0.192586i | −0.0747475 | + | 0.00984070i | −0.167807 | − | 0.985820i | \(-0.553669\pi\) |
0.0930597 | + | 0.995661i | \(0.470335\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.122821 | − | 0.361818i | 0.00625952 | − | 0.0184400i | ||||
\(386\) | 17.9443 | − | 11.9900i | 0.913342 | − | 0.610276i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 58.5178 | + | 11.6399i | 2.97079 | + | 0.590927i | ||||
\(389\) | 4.98165 | − | 37.8394i | 0.252580 | − | 1.91854i | −0.124247 | − | 0.992251i | \(-0.539652\pi\) |
0.376827 | − | 0.926284i | \(-0.377015\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.595524 | − | 2.12474i | −0.0301169 | − | 0.107453i | ||||
\(392\) | 23.3422 | − | 13.4766i | 1.17896 | − | 0.680672i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 32.8344 | + | 28.7950i | 1.65417 | + | 1.45067i | ||||
\(395\) | 3.69142 | + | 3.69142i | 0.185736 | + | 0.185736i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.08068 | − | 5.43296i | −0.0542379 | − | 0.272673i | 0.944144 | − | 0.329533i | \(-0.106891\pi\) |
−0.998382 | + | 0.0568600i | \(0.981891\pi\) | |||||||
\(398\) | −26.7068 | − | 54.1560i | −1.33869 | − | 2.71460i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.56678 | + | 11.9009i | 0.0783391 | + | 0.595045i | ||||
\(401\) | −1.34048 | + | 20.4518i | −0.0669404 | + | 1.02131i | 0.823823 | + | 0.566847i | \(0.191837\pi\) |
−0.890764 | + | 0.454467i | \(0.849830\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −5.52813 | + | 0.362332i | −0.275376 | + | 0.0180491i | ||||
\(404\) | −34.6286 | + | 34.6286i | −1.72284 | + | 1.72284i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −4.31256 | − | 10.4114i | −0.214029 | − | 0.516711i | ||||
\(407\) | −5.78061 | + | 10.0123i | −0.286534 | + | 0.496292i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 11.6707 | + | 20.2142i | 0.577078 | + | 0.999528i | 0.995812 | + | 0.0914193i | \(0.0291404\pi\) |
−0.418735 | + | 0.908109i | \(0.637526\pi\) | |||||||
\(410\) | −4.93012 | + | 6.42506i | −0.243481 | + | 0.317311i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −6.27855 | − | 23.4319i | −0.309322 | − | 1.15441i | ||||
\(413\) | 3.62743 | + | 5.42883i | 0.178494 | + | 0.267135i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.544044 | − | 0.363518i | −0.0267060 | − | 0.0178444i | ||||
\(416\) | 9.82111 | − | 7.53600i | 0.481520 | − | 0.369483i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −8.91562 | − | 0.584360i | −0.436077 | − | 0.0285820i | ||||
\(419\) | −26.0377 | + | 22.8345i | −1.27203 | + | 1.11554i | −0.284402 | + | 0.958705i | \(0.591795\pi\) |
−0.987625 | + | 0.156833i | \(0.949872\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.92019 | − | 0.782462i | 0.142321 | − | 0.0381349i | −0.186955 | − | 0.982368i | \(-0.559862\pi\) |
0.329276 | + | 0.944234i | \(0.393195\pi\) | |||||||
\(422\) | −7.06601 | + | 35.5232i | −0.343968 | + | 1.72924i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 36.1134i | 1.75382i | ||||||||
\(425\) | 4.03739 | + | 19.1469i | 0.195842 | + | 0.928763i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.75348 | + | 2.88015i | 0.181644 | + | 0.139380i | ||||
\(428\) | 17.7625 | + | 52.3267i | 0.858584 | + | 2.52931i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.232551 | + | 3.54805i | 0.0112146 | + | 0.171102i | ||||
\(431\) | 38.4058 | − | 7.63939i | 1.84994 | − | 0.367977i | 0.860098 | − | 0.510128i | \(-0.170402\pi\) |
0.989845 | + | 0.142151i | \(0.0454020\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 9.24045 | − | 22.3084i | 0.444068 | − | 1.07207i | −0.530441 | − | 0.847722i | \(-0.677973\pi\) |
0.974508 | − | 0.224352i | \(-0.0720265\pi\) | |||||||
\(434\) | −1.11384 | − | 1.45159i | −0.0534663 | − | 0.0696786i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2.57207 | + | 2.93288i | 0.123180 | + | 0.140459i | ||||
\(437\) | 1.75269 | + | 0.864331i | 0.0838426 | + | 0.0413466i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −25.0661 | + | 28.5824i | −1.19634 | + | 1.36417i | −0.281901 | + | 0.959443i | \(0.590965\pi\) |
−0.914440 | + | 0.404722i | \(0.867368\pi\) | |||||||
\(440\) | 1.98717 | − | 0.823114i | 0.0947347 | − | 0.0392404i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −39.6244 | + | 35.5619i | −1.88474 | + | 1.69151i | ||||
\(443\) | 33.1913 | + | 19.1630i | 1.57697 | + | 0.910462i | 0.995280 | + | 0.0970494i | \(0.0309405\pi\) |
0.581687 | + | 0.813413i | \(0.302393\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.61722 | − | 0.548973i | 0.0766637 | − | 0.0260238i | ||||
\(446\) | 9.55292 | − | 35.6520i | 0.452344 | − | 1.68817i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 7.42805 | + | 2.52148i | 0.350943 | + | 0.119129i | ||||
\(449\) | 8.96395 | − | 13.4155i | 0.423035 | − | 0.633116i | −0.557334 | − | 0.830288i | \(-0.688176\pi\) |
0.980369 | + | 0.197172i | \(0.0631758\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −6.32341 | − | 2.61924i | −0.297758 | − | 0.123335i | ||||
\(452\) | −15.9907 | + | 7.88574i | −0.752140 | + | 0.370914i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 18.8741 | − | 38.2730i | 0.885808 | − | 1.79624i | ||||
\(455\) | 1.94777 | + | 0.521903i | 0.0913127 | + | 0.0244672i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −19.4616 | − | 2.56216i | −0.910374 | − | 0.119853i | −0.339230 | − | 0.940703i | \(-0.610167\pi\) |
−0.571143 | + | 0.820850i | \(0.693500\pi\) | |||||||
\(458\) | 19.0353 | 0.889461 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −1.00997 | −0.0470901 | ||||||||
\(461\) | 13.2905 | + | 1.74972i | 0.618999 | + | 0.0814927i | 0.433503 | − | 0.901152i | \(-0.357277\pi\) |
0.185496 | + | 0.982645i | \(0.440611\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −0.913894 | − | 0.244877i | −0.0424722 | − | 0.0113804i | 0.237520 | − | 0.971383i | \(-0.423665\pi\) |
−0.279993 | + | 0.960002i | \(0.590332\pi\) | |||||||
\(464\) | 7.08427 | − | 14.3655i | 0.328879 | − | 0.666900i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −39.7272 | + | 19.5913i | −1.84033 | + | 0.907549i | ||||
\(467\) | 27.8933 | + | 11.5538i | 1.29075 | + | 0.534644i | 0.919208 | − | 0.393773i | \(-0.128831\pi\) |
0.371538 | + | 0.928418i | \(0.378831\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4.20304 | + | 6.29029i | −0.194078 | + | 0.290459i | ||||
\(470\) | 13.5446 | + | 4.59777i | 0.624765 | + | 0.212079i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −9.51269 | + | 35.5018i | −0.437857 | + | 1.63410i | ||||
\(473\) | −2.84553 | + | 0.965928i | −0.130838 | + | 0.0444134i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −15.0080 | − | 8.66488i | −0.688614 | − | 0.397572i | ||||
\(476\) | −11.1043 | − | 2.83931i | −0.508966 | − | 0.130139i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 38.3434 | − | 15.8823i | 1.75379 | − | 0.726442i | ||||
\(479\) | 14.1926 | − | 16.1835i | 0.648476 | − | 0.739445i | −0.330413 | − | 0.943836i | \(-0.607188\pi\) |
0.978889 | + | 0.204391i | \(0.0655215\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −54.7212 | − | 26.9855i | −2.49507 | − | 1.23043i | ||||
\(482\) | −19.6501 | − | 22.4067i | −0.895038 | − | 1.02060i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −22.6952 | − | 29.5769i | −1.03160 | − | 1.34441i | ||||
\(485\) | 3.07397 | − | 7.42122i | 0.139582 | − | 0.336980i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −9.83269 | + | 1.95584i | −0.445562 | + | 0.0886277i | −0.412772 | − | 0.910835i | \(-0.635439\pi\) |
−0.0327900 | + | 0.999462i | \(0.510439\pi\) | |||||||
\(488\) | 1.74186 | + | 26.5757i | 0.0788503 | + | 1.20302i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −2.50411 | − | 7.37686i | −0.113124 | − | 0.333253i | ||||
\(491\) | 3.43095 | + | 2.63266i | 0.154837 | + | 0.118810i | 0.683274 | − | 0.730162i | \(-0.260555\pi\) |
−0.528438 | + | 0.848972i | \(0.677222\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 9.71492 | − | 24.2365i | 0.437538 | − | 1.09156i | ||||
\(494\) | − | 47.1523i | − | 2.12148i | ||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.507349 | − | 2.55062i | 0.0227807 | − | 0.114526i | ||||
\(497\) | −3.07053 | + | 0.822746i | −0.137732 | + | 0.0369052i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 17.5954 | − | 15.4308i | 0.787679 | − | 0.690776i | −0.167805 | − | 0.985820i | \(-0.553668\pi\) |
0.955483 | + | 0.295045i | \(0.0953345\pi\) | |||||||
\(500\) | 18.3526 | + | 1.20289i | 0.820754 | + | 0.0537950i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 33.8774 | − | 25.9950i | 1.51202 | − | 1.16022i | ||||
\(503\) | −9.17711 | − | 6.13195i | −0.409187 | − | 0.273410i | 0.333895 | − | 0.942610i | \(-0.391637\pi\) |
−0.743082 | + | 0.669200i | \(0.766637\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.66298 | + | 5.48204i | 0.163001 | + | 0.243948i | ||||
\(506\) | −0.338931 | − | 1.26491i | −0.0150673 | − | 0.0562320i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −17.1211 | + | 22.3127i | −0.759628 | + | 0.989967i | ||||
\(509\) | −13.6706 | − | 23.6782i | −0.605939 | − | 1.04952i | −0.991902 | − | 0.127003i | \(-0.959464\pi\) |
0.385963 | − | 0.922514i | \(-0.373869\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.18523 | + | 2.05289i | −0.0524317 | + | 0.0908144i | ||||
\(512\) | 10.3147 | + | 24.9019i | 0.455850 | + | 1.10052i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −18.9939 | + | 18.9939i | −0.837783 | + | 0.837783i | ||||
\(515\) | −3.25896 | + | 0.213603i | −0.143607 | + | 0.00941249i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.790627 | + | 12.0626i | −0.0347717 | + | 0.530514i | ||||
\(518\) | −2.63021 | − | 19.9784i | −0.115565 | − | 0.877803i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 5.02050 | + | 10.1806i | 0.220163 | + | 0.446447i | ||||
\(521\) | −0.254038 | − | 1.27713i | −0.0111296 | − | 0.0559523i | 0.974821 | − | 0.222987i | \(-0.0715808\pi\) |
−0.985951 | + | 0.167035i | \(0.946581\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −4.98904 | − | 4.98904i | −0.218155 | − | 0.218155i | 0.589565 | − | 0.807721i | \(-0.299299\pi\) |
−0.807721 | + | 0.589565i | \(0.799299\pi\) | |||||||
\(524\) | −12.3877 | − | 10.8637i | −0.541160 | − | 0.474585i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 34.6994 | − | 20.0337i | 1.51297 | − | 0.873511i | ||||
\(527\) | 0.505112 | − | 4.20922i | 0.0220030 | − | 0.183356i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 2.96472 | − | 22.5193i | 0.128901 | − | 0.979098i | ||||
\(530\) | 10.2373 | + | 2.03632i | 0.444680 | + | 0.0884523i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 8.43990 | − | 5.63936i | 0.365916 | − | 0.244497i | ||||
\(533\) | 11.6106 | − | 34.2038i | 0.502912 | − | 1.48153i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 7.37599 | − | 0.971068i | 0.318892 | − | 0.0419829i | ||||
\(536\) | −42.2221 | + | 5.55865i | −1.82372 | + | 0.240097i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 7.41746 | − | 21.8511i | 0.319790 | − | 0.942070i | ||||
\(539\) | 5.47426 | − | 3.65778i | 0.235793 | − | 0.157552i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 40.2772 | + | 8.01163i | 1.73165 | + | 0.344447i | 0.957474 | − | 0.288521i | \(-0.0931634\pi\) |
0.774178 | + | 0.632968i | \(0.218163\pi\) | |||||||
\(542\) | −6.75166 | + | 51.2840i | −0.290009 | + | 2.20284i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 4.28701 | + | 8.44754i | 0.183804 | + | 0.362185i | ||||
\(545\) | 0.454827 | − | 0.262594i | 0.0194826 | − | 0.0112483i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −27.5805 | − | 24.1874i | −1.17926 | − | 1.03418i | −0.998718 | − | 0.0506126i | \(-0.983883\pi\) |
−0.180538 | − | 0.983568i | \(-0.557784\pi\) | |||||||
\(548\) | −16.7116 | − | 16.7116i | −0.713883 | − | 0.713883i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.26552 | + | 11.3896i | 0.0966022 | + | 0.485652i | ||||
\(551\) | 10.2277 | + | 20.7396i | 0.435713 | + | 0.883538i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.00374 | − | 7.62417i | −0.0426834 | − | 0.324213i | ||||
\(554\) | 4.02526 | − | 61.4137i | 0.171017 | − | 2.60922i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −56.6127 | + | 3.71059i | −2.40091 | + | 0.157364i | ||||
\(557\) | 4.48661 | − | 4.48661i | 0.190104 | − | 0.190104i | −0.605637 | − | 0.795741i | \(-0.707082\pi\) |
0.795741 | + | 0.605637i | \(0.207082\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −6.06884 | − | 14.6515i | −0.256685 | − | 0.619692i | ||||
\(560\) | −0.473288 | + | 0.819760i | −0.0200001 | + | 0.0346412i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 13.9830 | + | 24.2193i | 0.589838 | + | 1.02163i | ||||
\(563\) | −11.5661 | + | 15.0732i | −0.487452 | + | 0.635260i | −0.970720 | − | 0.240212i | \(-0.922783\pi\) |
0.483268 | + | 0.875472i | \(0.339450\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.621268 | + | 2.31861i | 0.0261370 | + | 0.0975445i | ||||
\(566\) | −1.45597 | − | 2.17901i | −0.0611989 | − | 0.0915906i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −14.8786 | − | 9.94159i | −0.624294 | − | 0.417140i | ||||
\(569\) | −15.2156 | + | 11.6753i | −0.637869 | + | 0.489454i | −0.876339 | − | 0.481696i | \(-0.840021\pi\) |
0.238469 | + | 0.971150i | \(0.423354\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 28.0613 | + | 1.83924i | 1.17433 | + | 0.0769696i | 0.640046 | − | 0.768336i | \(-0.278915\pi\) |
0.534283 | + | 0.845306i | \(0.320582\pi\) | |||||||
\(572\) | −15.4842 | + | 13.5793i | −0.647426 | + | 0.567777i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 11.5231 | − | 3.08760i | 0.480965 | − | 0.128874i | ||||
\(575\) | 0.495519 | − | 2.49114i | 0.0206646 | − | 0.103888i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 44.0005i | − | 1.83176i | −0.401449 | − | 0.915881i | \(-0.631493\pi\) | ||
0.401449 | − | 0.915881i | \(-0.368507\pi\) | |||||||
\(578\) | −21.1755 | − | 34.8080i | −0.880785 | − | 1.44782i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −9.48138 | − | 7.27532i | −0.393693 | − | 0.302091i | ||||
\(581\) | 0.309814 | + | 0.912683i | 0.0128533 | + | 0.0378645i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.576946 | + | 8.80249i | 0.0238947 | + | 0.364562i | ||||
\(584\) | −13.0875 | + | 2.60326i | −0.541564 | + | 0.107724i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 2.16615 | − | 5.22955i | 0.0894828 | − | 0.216031i | ||||
\(587\) | −6.52486 | − | 8.50336i | −0.269310 | − | 0.350971i | 0.639047 | − | 0.769168i | \(-0.279329\pi\) |
−0.908357 | + | 0.418196i | \(0.862662\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.47552 | + | 2.82279i | 0.102002 | + | 0.116311i | ||||
\(590\) | 9.52754 | + | 4.69846i | 0.392243 | + | 0.193433i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 18.8843 | − | 21.5334i | 0.776139 | − | 0.885017i | ||||
\(593\) | 17.9488 | − | 7.43464i | 0.737069 | − | 0.305304i | 0.0176157 | − | 0.999845i | \(-0.494392\pi\) |
0.719453 | + | 0.694541i | \(0.244392\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.666573 | + | 1.39169i | −0.0273268 | + | 0.0570537i | ||||
\(596\) | 23.9969 | + | 13.8546i | 0.982953 | + | 0.567508i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 6.54416 | − | 2.22144i | 0.267610 | − | 0.0908415i | ||||
\(599\) | −4.18348 | + | 15.6130i | −0.170932 | + | 0.637929i | 0.826276 | + | 0.563265i | \(0.190455\pi\) |
−0.997209 | + | 0.0746637i | \(0.976212\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 16.3911 | + | 5.56403i | 0.668607 | + | 0.226962i | 0.635045 | − | 0.772475i | \(-0.280981\pi\) |
0.0335622 | + | 0.999437i | \(0.489315\pi\) | |||||||
\(602\) | 2.90987 | − | 4.35493i | 0.118598 | − | 0.177494i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 8.49941 | + | 3.52057i | 0.345836 | + | 0.143250i | ||||
\(605\) | −4.50157 | + | 2.21993i | −0.183015 | + | 0.0902528i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 2.48444 | − | 5.03794i | 0.100840 | − | 0.204484i | −0.840606 | − | 0.541647i | \(-0.817801\pi\) |
0.941446 | + | 0.337164i | \(0.109468\pi\) | |||||||
\(608\) | −8.10367 | − | 2.17137i | −0.328647 | − | 0.0880607i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 7.63179 | + | 1.00474i | 0.309002 | + | 0.0406809i | ||||
\(611\) | −63.7961 | −2.58091 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −24.3856 | −0.984927 | −0.492463 | − | 0.870333i | \(-0.663903\pi\) | ||||
−0.492463 | + | 0.870333i | \(0.663903\pi\) | |||||||
\(614\) | 74.8274 | + | 9.85121i | 3.01979 | + | 0.397563i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −3.06040 | − | 0.820033i | −0.123307 | − | 0.0330401i | ||||
\(617\) | −8.14777 | + | 16.5220i | −0.328017 | + | 0.665152i | −0.996939 | − | 0.0781799i | \(-0.975089\pi\) |
0.668922 | + | 0.743332i | \(0.266756\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 8.35682 | − | 4.12113i | 0.335889 | − | 0.165642i | −0.266521 | − | 0.963829i | \(-0.585874\pi\) |
0.602410 | + | 0.798187i | \(0.294207\pi\) | |||||||
\(620\) | −1.79268 | − | 0.742552i | −0.0719957 | − | 0.0298216i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −15.0115 | + | 22.4664i | −0.601908 | + | 0.900819i | ||||
\(623\) | −2.38224 | − | 0.808660i | −0.0954423 | − | 0.0323983i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −5.50082 | + | 20.5293i | −0.220033 | + | 0.821173i | ||||
\(626\) | −19.0943 | + | 6.48164i | −0.763162 | + | 0.259059i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 31.0772 | + | 17.9424i | 1.24011 | + | 0.715981i | ||||
\(629\) | 27.9962 | − | 37.3651i | 1.11628 | − | 1.48984i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −5.45994 | + | 2.26158i | −0.217357 | + | 0.0900321i | −0.488705 | − | 0.872449i | \(-0.662531\pi\) |
0.271348 | + | 0.962481i | \(0.412531\pi\) | |||||||
\(632\) | 28.5420 | − | 32.5459i | 1.13534 | − | 1.29461i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 2.78243 | + | 1.37214i | 0.110504 | + | 0.0544947i | ||||
\(635\) | 2.49658 | + | 2.84680i | 0.0990737 | + | 0.112972i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 21.1518 | + | 27.5655i | 0.838064 | + | 1.09219i | ||||
\(638\) | 5.92994 | − | 14.3161i | 0.234769 | − | 0.566782i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 10.2459 | − | 2.03804i | 0.405006 | − | 0.0805607i | ||||
\(641\) | 1.02804 | + | 15.6849i | 0.0406052 | + | 0.619516i | 0.968866 | + | 0.247586i | \(0.0796372\pi\) |
−0.928261 | + | 0.371930i | \(0.878696\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −10.3410 | − | 30.4637i | −0.407810 | − | 1.20137i | −0.935926 | − | 0.352197i | \(-0.885435\pi\) |
0.528116 | − | 0.849172i | \(-0.322899\pi\) | |||||||
\(644\) | 1.18029 | + | 0.905672i | 0.0465101 | + | 0.0356885i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 35.4679 | + | 6.63306i | 1.39547 | + | 0.260974i | ||||
\(647\) | 22.2315i | 0.874010i | 0.899459 | + | 0.437005i | \(0.143961\pi\) | ||||
−0.899459 | + | 0.437005i | \(0.856039\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.75150 | + | 8.80540i | −0.0687525 | + | 0.345642i | ||||
\(650\) | −59.1967 | + | 15.8617i | −2.32188 | + | 0.622147i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 18.3859 | − | 16.1240i | 0.720048 | − | 0.631465i | ||||
\(653\) | 3.61153 | + | 0.236712i | 0.141330 | + | 0.00926325i | 0.135904 | − | 0.990722i | \(-0.456606\pi\) |
0.00542604 | + | 0.999985i | \(0.498273\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.75986 | + | 1.35039i | −0.0687636 | + | 0.0527641i | ||||
\(656\) | 14.0983 | + | 9.42016i | 0.550445 | + | 0.367795i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −11.7058 | − | 17.5190i | −0.456340 | − | 0.682961i | ||||
\(659\) | 1.86369 | + | 6.95540i | 0.0725992 | + | 0.270944i | 0.992678 | − | 0.120789i | \(-0.0385424\pi\) |
−0.920079 | + | 0.391733i | \(0.871876\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −15.2860 | + | 19.9211i | −0.594556 | + | 0.774841i | −0.989604 | − | 0.143820i | \(-0.954061\pi\) |
0.395048 | + | 0.918661i | \(0.370728\pi\) | |||||||
\(662\) | −7.95420 | − | 13.7771i | −0.309149 | − | 0.535461i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2.71281 | + | 4.69873i | −0.105277 | + | 0.182346i | ||||
\(665\) | −0.522970 | − | 1.26256i | −0.0202799 | − | 0.0489600i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −2.39656 | + | 2.39656i | −0.0927951 | + | 0.0927951i | ||||
\(668\) | −15.2408 | + | 0.998934i | −0.589684 | + | 0.0386499i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.805032 | + | 12.2824i | −0.0311011 | + | 0.474511i | ||||
\(671\) | 0.849143 | + | 6.44988i | 0.0327808 | + | 0.248995i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 13.9828 | + | 28.3543i | 0.538997 | + | 1.09298i | 0.980646 | + | 0.195790i | \(0.0627271\pi\) |
−0.441649 | + | 0.897188i | \(0.645606\pi\) | |||||||
\(674\) | 3.53086 | + | 17.7508i | 0.136004 | + | 0.683737i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −42.4386 | − | 42.4386i | −1.63225 | − | 1.63225i | ||||
\(677\) | 30.8797 | + | 27.0808i | 1.18680 | + | 1.04080i | 0.998274 | + | 0.0587308i | \(0.0187053\pi\) |
0.188529 | + | 0.982068i | \(0.439628\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −10.2472 | + | 5.91623i | −0.393252 | + | 0.227044i | ||||
\(680\) | −8.36405 | + | 2.34428i | −0.320747 | + | 0.0898990i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.328391 | − | 2.49438i | 0.0125747 | − | 0.0955146i | ||||
\(683\) | 37.3073 | + | 7.42089i | 1.42753 | + | 0.283953i | 0.847565 | − | 0.530692i | \(-0.178068\pi\) |
0.579961 | + | 0.814644i | \(0.303068\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −2.64560 | + | 1.76774i | −0.101083 | + | 0.0675417i | ||||
\(686\) | −7.69264 | + | 22.6618i | −0.293706 | + | 0.865231i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 7.38070 | − | 0.971687i | 0.281387 | − | 0.0370452i | ||||
\(689\) | −46.1558 | + | 6.07652i | −1.75839 | + | 0.231497i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −0.339026 | + | 0.998739i | −0.0128972 | + | 0.0379938i | −0.953188 | − | 0.302378i | \(-0.902220\pi\) |
0.940291 | + | 0.340372i | \(0.110553\pi\) | |||||||
\(692\) | −25.6274 | + | 17.1237i | −0.974207 | + | 0.650944i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −64.4715 | − | 12.8242i | −2.44731 | − | 0.486799i | ||||
\(695\) | −0.996985 | + | 7.57285i | −0.0378178 | + | 0.287255i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 24.0948 | + | 13.5451i | 0.912654 | + | 0.513056i | ||||
\(698\) | 22.5172 | − | 13.0003i | 0.852289 | − | 0.492069i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −9.91898 | − | 8.69871i | −0.374902 | − | 0.328780i | ||||
\(701\) | −13.4241 | − | 13.4241i | −0.507022 | − | 0.507022i | 0.406589 | − | 0.913611i | \(-0.366718\pi\) |
−0.913611 | + | 0.406589i | \(0.866718\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 8.06685 | + | 40.5548i | 0.304247 | + | 1.52955i | ||||
\(704\) | 4.77066 | + | 9.67395i | 0.179801 | + | 0.364601i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −2.20891 | − | 16.7783i | −0.0831333 | − | 0.631460i | ||||
\(707\) | 0.635198 | − | 9.69125i | 0.0238891 | − | 0.364477i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 18.1644 | − | 1.19056i | 0.682177 | − | 0.0447123i | 0.279625 | − | 0.960109i | \(-0.409790\pi\) |
0.402552 | + | 0.915397i | \(0.368123\pi\) | |||||||
\(710\) | −3.65717 | + | 3.65717i | −0.137251 | + | 0.137251i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −5.41943 | − | 13.0837i | −0.203102 | − | 0.490331i | ||||
\(713\) | −0.275141 | + | 0.476558i | −0.0103041 | + | 0.0178472i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.38637 | + | 2.40126i | 0.0518473 | + | 0.0898021i | ||||
\(716\) | −27.0655 | + | 35.2725i | −1.01149 | + | 1.31819i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 2.38248 | + | 8.89154i | 0.0889134 | + | 0.331829i | ||||
\(719\) | −13.0787 | − | 19.5737i | −0.487754 | − | 0.729976i | 0.503201 | − | 0.864170i | \(-0.332156\pi\) |
−0.990955 | + | 0.134193i | \(0.957156\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.00010 | + | 2.67278i | 0.148971 | + | 0.0995395i | ||||
\(722\) | 10.7744 | − | 8.26747i | 0.400981 | − | 0.307683i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 66.9386 | + | 4.38739i | 2.48775 | + | 0.163056i | ||||
\(725\) | 22.5968 | − | 19.8168i | 0.839223 | − | 0.735978i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −4.15025 | + | 1.11206i | −0.153924 | + | 0.0412439i | −0.334958 | − | 0.942233i | \(-0.608722\pi\) |
0.181034 | + | 0.983477i | \(0.442056\pi\) | |||||||
\(728\) | 3.26206 | − | 16.3995i | 0.120900 | − | 0.607804i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 3.85678i | 0.142746i | ||||||||
\(731\) | 11.8746 | − | 2.50391i | 0.439196 | − | 0.0926104i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 8.51833 | + | 6.53634i | 0.314632 | + | 0.241425i | 0.753989 | − | 0.656887i | \(-0.228127\pi\) |
−0.439357 | + | 0.898312i | \(0.644794\pi\) | |||||||
\(734\) | 11.4744 | + | 33.8024i | 0.423526 | + | 1.24767i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.0804209 | − | 1.22699i | −0.00296435 | − | 0.0452273i | ||||
\(737\) | −10.2027 | + | 2.02944i | −0.375820 | + | 0.0747553i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 6.20725 | − | 14.9856i | 0.228337 | − | 0.551255i | −0.767638 | − | 0.640884i | \(-0.778568\pi\) |
0.995975 | + | 0.0896286i | \(0.0285680\pi\) | |||||||
\(740\) | −13.0092 | − | 16.9539i | −0.478227 | − | 0.623237i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −10.1377 | − | 11.5598i | −0.372167 | − | 0.424375i | ||||
\(743\) | 15.3702 | + | 7.57977i | 0.563880 | + | 0.278075i | 0.701806 | − | 0.712368i | \(-0.252377\pi\) |
−0.137927 | + | 0.990442i | \(0.544044\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 2.45971 | − | 2.80477i | 0.0901169 | − | 0.102759i | ||||
\(746\) | −9.89937 | + | 4.10045i | −0.362442 | + | 0.150128i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −8.03609 | − | 13.5574i | −0.293829 | − | 0.495708i | ||||
\(749\) | −9.49068 | − | 5.47945i | −0.346782 | − | 0.200215i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 6.32030 | − | 2.14545i | 0.230631 | − | 0.0782886i | −0.203732 | − | 0.979027i | \(-0.565307\pi\) |
0.434363 | + | 0.900738i | \(0.356974\pi\) | |||||||
\(752\) | 7.75091 | − | 28.9268i | 0.282647 | − | 1.05485i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 77.4372 | + | 26.2864i | 2.82010 | + | 0.957293i | ||||
\(755\) | 0.688111 | − | 1.02983i | 0.0250429 | − | 0.0374794i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 9.34496 | + | 3.87081i | 0.339648 | + | 0.140687i | 0.545987 | − | 0.837794i | \(-0.316155\pi\) |
−0.206339 | + | 0.978481i | \(0.566155\pi\) | |||||||
\(758\) | 31.1284 | − | 15.3508i | 1.13063 | − | 0.557567i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 3.40244 | − | 6.89947i | 0.123419 | − | 0.250270i | ||||
\(761\) | 11.8235 | + | 3.16811i | 0.428603 | + | 0.114844i | 0.466670 | − | 0.884431i | \(-0.345454\pi\) |
−0.0380675 | + | 0.999275i | \(0.512120\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.767006 | − | 0.100978i | −0.0277675 | − | 0.00365566i | ||||
\(764\) | 80.3714 | 2.90774 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 3.53617 | 0.127767 | ||||||||
\(767\) | −46.9748 | − | 6.18434i | −1.69616 | − | 0.223304i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −21.6739 | − | 5.80750i | −0.781581 | − | 0.209424i | −0.154099 | − | 0.988055i | \(-0.549248\pi\) |
−0.627482 | + | 0.778631i | \(0.715914\pi\) | |||||||
\(770\) | −0.405027 | + | 0.821313i | −0.0145961 | + | 0.0295981i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −30.2368 | + | 14.9111i | −1.08825 | + | 0.536664i | ||||
\(773\) | −29.2000 | − | 12.0950i | −1.05025 | − | 0.435029i | −0.210270 | − | 0.977643i | \(-0.567434\pi\) |
−0.839982 | + | 0.542615i | \(0.817434\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.71108 | − | 4.05742i | 0.0973848 | − | 0.145747i | ||||
\(776\) | −63.0725 | − | 21.4102i | −2.26417 | − | 0.768583i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −23.6743 | + | 88.3537i | −0.848765 | + | 3.16763i | ||||
\(779\) | −23.1803 | + | 7.86864i | −0.830519 | + | 0.281923i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −3.78544 | − | 2.18552i | −0.135454 | − | 0.0782041i | ||||
\(782\) | 0.750379 | + | 5.23500i | 0.0268335 | + | 0.187203i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −15.0688 | + | 6.24169i | −0.538170 | + | 0.222917i | ||||
\(785\) | 3.18545 | − | 3.63231i | 0.113694 | − | 0.129643i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 25.7992 | + | 12.7228i | 0.919642 | + | 0.453517i | 0.839557 | − | 0.543271i | \(-0.182814\pi\) |
0.0800845 | + | 0.996788i | \(0.474481\pi\) | |||||||
\(788\) | −44.9823 | − | 51.2925i | −1.60243 | − | 1.82722i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −7.61660 | − | 9.92615i | −0.270987 | − | 0.353157i | ||||
\(791\) | 1.35312 | − | 3.26673i | 0.0481115 | − | 0.116152i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −33.6727 | + | 6.69791i | −1.19575 | + | 0.237850i | ||||
\(794\) | 0.868293 | + | 13.2476i | 0.0308146 | + | 0.470140i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 30.3207 | + | 89.3220i | 1.07469 | + | 3.16593i | ||||
\(797\) | −20.2134 | − | 15.5103i | −0.715994 | − | 0.549401i | 0.185262 | − | 0.982689i | \(-0.440687\pi\) |
−0.901256 | + | 0.433288i | \(0.857353\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 8.97439 | − | 47.9873i | 0.317491 | − | 1.69767i | ||||
\(800\) | 10.9041i | 0.385517i | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 9.58303 | − | 48.1771i | 0.338389 | − | 1.70119i | ||||
\(803\) | −3.14843 | + | 0.843619i | −0.111106 | + | 0.0297707i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.150590 | − | 0.132064i | 0.00530759 | − | 0.00465463i | ||||
\(806\) | 13.2490 | + | 0.868385i | 0.466676 | + | 0.0305876i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 43.3735 | − | 33.2817i | 1.52588 | − | 1.17085i | ||||
\(809\) | 1.47986 | + | 0.988813i | 0.0520292 | + | 0.0347648i | 0.581313 | − | 0.813680i | \(-0.302539\pi\) |
−0.529284 | + | 0.848445i | \(0.677539\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 27.6326 | + | 41.3552i | 0.970314 | + | 1.45218i | 0.890295 | + | 0.455383i | \(0.150498\pi\) |
0.0800181 | + | 0.996793i | \(0.474502\pi\) | |||||||
\(812\) | 4.55634 | + | 17.0045i | 0.159896 | + | 0.596740i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 16.8677 | − | 21.9824i | 0.591213 | − | 0.770484i | ||||
\(815\) | −1.64618 | − | 2.85126i | −0.0576630 | − | 0.0998752i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −5.37378 | + | 9.30767i | −0.188005 | + | 0.325634i | ||||
\(818\) | −21.4077 | − | 51.6828i | −0.748504 | − | 1.80705i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 8.94581 | − | 8.94581i | 0.312401 | − | 0.312401i | ||||
\(821\) | 36.8211 | − | 2.41338i | 1.28506 | − | 0.0842275i | 0.592492 | − | 0.805576i | \(-0.298144\pi\) |
0.692572 | + | 0.721349i | \(0.256477\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −0.722027 | + | 11.0160i | −0.0251683 | + | 0.383994i | 0.966630 | + | 0.256178i | \(0.0824633\pi\) |
−0.991798 | + | 0.127816i | \(0.959203\pi\) | |||||||
\(824\) | 3.53484 | + | 26.8498i | 0.123142 | + | 0.935356i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −6.92103 | − | 14.0345i | −0.240813 | − | 0.488321i | ||||
\(827\) | −4.01743 | − | 20.1970i | −0.139700 | − | 0.702318i | −0.985616 | − | 0.169002i | \(-0.945946\pi\) |
0.845916 | − | 0.533316i | \(-0.179054\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −10.5506 | − | 10.5506i | −0.366437 | − | 0.366437i | 0.499739 | − | 0.866176i | \(-0.333429\pi\) |
−0.866176 | + | 0.499739i | \(0.833429\pi\) | |||||||
\(830\) | 1.17901 | + | 1.03396i | 0.0409241 | + | 0.0358894i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −49.2974 | + | 28.4619i | −1.70908 | + | 0.986738i | ||||
\(833\) | −23.7102 | + | 12.0326i | −0.821511 | + | 0.416905i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.268400 | + | 2.03870i | −0.00928836 | + | 0.0705521i | ||||
\(836\) | 13.6893 | + | 2.72297i | 0.473454 | + | 0.0941758i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 69.0128 | − | 46.1129i | 2.38401 | − | 1.59294i | ||||
\(839\) | 7.12023 | − | 20.9755i | 0.245818 | − | 0.724155i | −0.752063 | − | 0.659091i | \(-0.770941\pi\) |
0.997881 | − | 0.0650645i | \(-0.0207253\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −11.0100 | + | 1.44950i | −0.379656 | + | 0.0499827i | ||||
\(842\) | −7.18358 | + | 0.945736i | −0.247562 | + | 0.0325922i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 18.1870 | − | 53.5773i | 0.626023 | − | 1.84421i | ||||
\(845\) | −6.71844 | + | 4.48912i | −0.231121 | + | 0.154430i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 7.25139 | + | 1.44239i | 0.249161 | + | 0.0495612i | ||||
\(848\) | 2.85245 | − | 21.6665i | 0.0979534 | − | 0.744030i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −3.60377 | − | 46.7590i | −0.123608 | − | 1.60382i | ||||
\(851\) | −5.24846 | + | 3.03020i | −0.179915 | + | 0.103874i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 20.4168 | + | 17.9051i | 0.699058 | + | 0.613057i | 0.933290 | − | 0.359123i | \(-0.116924\pi\) |
−0.234232 | + | 0.972181i | \(0.575258\pi\) | |||||||
\(854\) | −8.01784 | − | 8.01784i | −0.274365 | − | 0.274365i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −12.0351 | − | 60.5046i | −0.411351 | − | 2.06800i | ||||
\(857\) | −14.7603 | − | 29.9309i | −0.504202 | − | 1.02242i | −0.989017 | − | 0.147804i | \(-0.952780\pi\) |
0.484815 | − | 0.874617i | \(-0.338887\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1.82866 | − | 13.8901i | −0.0623931 | − | 0.473923i | −0.993907 | − | 0.110218i | \(-0.964845\pi\) |
0.931514 | − | 0.363705i | \(-0.118488\pi\) | |||||||
\(860\) | 0.363281 | − | 5.54260i | 0.0123878 | − | 0.189001i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −93.6478 | + | 6.13800i | −3.18966 | + | 0.209061i | ||||
\(863\) | −4.06464 | + | 4.06464i | −0.138362 | + | 0.138362i | −0.772895 | − | 0.634533i | \(-0.781192\pi\) |
0.634533 | + | 0.772895i | \(0.281192\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1.58798 | + | 3.83371i | 0.0539928 | + | 0.130350i | ||||
\(866\) | −28.9353 | + | 50.1175i | −0.983263 | + | 1.70306i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 1.42913 | + | 2.47533i | 0.0485078 | + | 0.0840181i | ||||
\(869\) | 6.43705 | − | 8.38892i | 0.218362 | − | 0.284575i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −14.2088 | − | 53.0279i | −0.481446 | − | 1.79678i | ||||
\(872\) | −2.41945 | − | 3.62096i | −0.0819329 | − | 0.122621i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −3.89427 | − | 2.60207i | −0.131726 | − | 0.0880163i | ||||
\(875\) | −2.89372 | + | 2.22043i | −0.0978255 | + | 0.0750642i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 6.51572 | + | 0.427063i | 0.220020 | + | 0.0144209i | 0.175015 | − | 0.984566i | \(-0.444003\pi\) |
0.0450057 | + | 0.998987i | \(0.485669\pi\) | |||||||
\(878\) | 68.5022 | − | 60.0748i | 2.31184 | − | 2.02743i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −1.25723 | + | 0.336874i | −0.0423813 | + | 0.0113560i | ||||
\(881\) | −5.82712 | + | 29.2949i | −0.196321 | + | 0.986971i | 0.749431 | + | 0.662082i | \(0.230327\pi\) |
−0.945752 | + | 0.324889i | \(0.894673\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 49.5960i | 1.66904i | 0.550978 | + | 0.834520i | \(0.314255\pi\) | ||||
−0.550978 | + | 0.834520i | \(0.685745\pi\) | |||||||
\(884\) | 68.6211 | − | 46.9984i | 2.30798 | − | 1.58073i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −72.8728 | − | 55.9173i | −2.44821 | − | 1.87858i | ||||
\(887\) | −4.91600 | − | 14.4821i | −0.165063 | − | 0.486261i | 0.832654 | − | 0.553794i | \(-0.186820\pi\) |
−0.997717 | + | 0.0675332i | \(0.978487\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.364792 | − | 5.56565i | −0.0122347 | − | 0.186666i | ||||
\(890\) | −4.01450 | + | 0.798533i | −0.134566 | + | 0.0267669i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −22.0650 | + | 53.2696i | −0.738791 | + | 1.78360i | ||||
\(893\) | 26.3199 | + | 34.3008i | 0.880763 | + | 1.14783i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 3.94665 | + | 4.50029i | 0.131922 | + | 0.150428i | ||||
\(896\) | −13.8014 | − | 6.80610i | −0.461073 | − | 0.227376i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −25.4964 | + | 29.0731i | −0.850825 | + | 0.970181i | ||||
\(899\) | −6.01584 | + | 2.49184i | −0.200640 | + | 0.0831077i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.92212 | − | 35.5731i | 0.0640351 | − | 1.18511i | ||||
\(902\) | 14.2060 | + | 8.20183i | 0.473008 | + | 0.273091i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 18.8479 | − | 6.39801i | 0.626872 | − | 0.212794i | ||||
\(905\) | 2.33749 | − | 8.72364i | 0.0777008 | − | 0.289983i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 0.302207 | + | 0.102585i | 0.0100346 | + | 0.00340629i | 0.326452 | − | 0.945214i | \(-0.394147\pi\) |
−0.316418 | + | 0.948620i | \(0.602480\pi\) | |||||||
\(908\) | −37.0361 | + | 55.4284i | −1.22909 | + | 1.83946i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −4.46492 | − | 1.84943i | −0.148011 | − | 0.0613080i | ||||
\(911\) | 14.5927 | − | 7.19632i | 0.483477 | − | 0.238425i | −0.184181 | − | 0.982892i | \(-0.558963\pi\) |
0.667659 | + | 0.744468i | \(0.267297\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.586170 | + | 1.18864i | −0.0193994 | + | 0.0393381i | ||||
\(914\) | 45.4421 | + | 12.1762i | 1.50309 | + | 0.402752i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −29.4817 | − | 3.88134i | −0.974103 | − | 0.128243i | ||||
\(917\) | 3.26759 | 0.107905 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −32.6543 | −1.07716 | −0.538582 | − | 0.842573i | \(-0.681040\pi\) | ||||
−0.538582 | + | 0.842573i | \(0.681040\pi\) | |||||||
\(920\) | 1.11786 | + | 0.147169i | 0.0368546 | + | 0.00485200i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −31.0328 | − | 8.31521i | −1.02201 | − | 0.273847i | ||||
\(923\) | 10.2026 | − | 20.6889i | 0.335823 | − | 0.680983i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 48.2003 | − | 23.7698i | 1.58482 | − | 0.781545i | ||||
\(926\) | 2.09494 | + | 0.867754i | 0.0688441 | + | 0.0285162i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 8.08361 | − | 12.0980i | 0.265357 | − | 0.397136i | ||||
\(929\) | −13.4095 | − | 4.55192i | −0.439952 | − | 0.149344i | 0.0926698 | − | 0.995697i | \(-0.470460\pi\) |
−0.532622 | + | 0.846353i | \(0.678793\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 6.09453 | − | 22.7451i | 0.199740 | − | 0.745440i | ||||
\(932\) | 65.5238 | − | 22.2423i | 2.14630 | − | 0.728572i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −62.6642 | − | 36.1792i | −2.05044 | − | 1.18382i | ||||
\(935\) | −2.00125 | + | 0.705032i | −0.0654479 | + | 0.0230570i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −25.9564 | + | 10.7515i | −0.847959 | + | 0.351236i | −0.763987 | − | 0.645232i | \(-0.776761\pi\) |
−0.0839723 | + | 0.996468i | \(0.526761\pi\) | |||||||
\(938\) | 11.9548 | − | 13.6318i | 0.390338 | − | 0.445096i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −20.0402 | − | 9.88275i | −0.653641 | − | 0.322340i | ||||
\(941\) | 3.68514 | + | 4.20210i | 0.120132 | + | 0.136984i | 0.808780 | − | 0.588112i | \(-0.200129\pi\) |
−0.688647 | + | 0.725096i | \(0.741795\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −2.18414 | − | 2.84643i | −0.0711254 | − | 0.0926924i | ||||
\(944\) | 8.51135 | − | 20.5482i | 0.277021 | − | 0.668787i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 7.06358 | − | 1.40503i | 0.229657 | − | 0.0456816i | ||||
\(947\) | 1.86646 | + | 28.4767i | 0.0606518 | + | 0.925367i | 0.914434 | + | 0.404736i | \(0.132637\pi\) |
−0.853782 | + | 0.520631i | \(0.825697\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −5.52930 | − | 16.2888i | −0.179489 | − | 0.528756i | ||||
\(950\) | 32.9507 | + | 25.2839i | 1.06906 | + | 0.820319i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 11.8768 | + | 4.76068i | 0.384928 | + | 0.154294i | ||||
\(953\) | 37.4674i | 1.21369i | 0.794821 | + | 0.606844i | \(0.207565\pi\) | ||||
−0.794821 | + | 0.606844i | \(0.792435\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 2.11098 | − | 10.6126i | 0.0683096 | − | 0.343416i | ||||
\(956\) | −62.6243 | + | 16.7801i | −2.02542 | + | 0.542709i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −38.7863 | + | 34.0147i | −1.25313 | + | 1.09897i | ||||
\(959\) | 4.67695 | + | 0.306543i | 0.151026 | + | 0.00989880i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 23.7552 | − | 18.2280i | 0.766297 | − | 0.588000i | ||||
\(962\) | 121.584 | + | 81.2398i | 3.92002 | + | 2.61927i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 25.8651 | + | 38.7099i | 0.833060 | + | 1.24676i | ||||
\(965\) | 1.17476 | + | 4.38425i | 0.0378167 | + | 0.141134i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −2.82928 | + | 3.68719i | −0.0909836 | + | 0.118572i | −0.836627 | − | 0.547773i | \(-0.815476\pi\) |
0.745643 | + | 0.666345i | \(0.232142\pi\) | |||||||
\(968\) | 20.8097 | + | 36.0434i | 0.668848 | + | 1.15848i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −9.62576 | + | 16.6723i | −0.309065 | + | 0.535316i | ||||
\(971\) | −17.1196 | − | 41.3304i | −0.549394 | − | 1.32636i | −0.917930 | − | 0.396742i | \(-0.870141\pi\) |
0.368536 | − | 0.929614i | \(-0.379859\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 7.95592 | − | 7.95592i | 0.255055 | − | 0.255055i | ||||
\(974\) | 23.9758 | − | 1.57146i | 0.768233 | − | 0.0503527i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1.05406 | − | 16.0818i | 0.0337396 | − | 0.514767i | ||||
\(977\) | 3.87397 | + | 29.4257i | 0.123939 | + | 0.941411i | 0.934551 | + | 0.355828i | \(0.115801\pi\) |
−0.810612 | + | 0.585583i | \(0.800866\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.52999 | − | 3.10251i | −0.0488987 | − | 0.0991567i | ||||
\(980\) | 2.37418 | + | 11.9358i | 0.0758404 | + | 0.381276i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −7.32889 | − | 7.32889i | −0.233874 | − | 0.233874i | ||||
\(983\) | −21.7491 | − | 19.0734i | −0.693688 | − | 0.608348i | 0.238148 | − | 0.971229i | \(-0.423460\pi\) |
−0.931835 | + | 0.362881i | \(0.881793\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −7.95436 | + | 4.59245i | −0.253447 | + | 0.146328i | ||||
\(986\) | −30.6659 | + | 54.5504i | −0.976601 | + | 1.73724i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −9.61446 | + | 73.0291i | −0.305877 | + | 2.32337i | ||||
\(989\) | −1.54496 | − | 0.307311i | −0.0491268 | − | 0.00977193i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −15.8269 | + | 10.5752i | −0.502759 | + | 0.335933i | −0.780951 | − | 0.624593i | \(-0.785265\pi\) |
0.278191 | + | 0.960526i | \(0.410265\pi\) | |||||||
\(992\) | 0.759360 | − | 2.23700i | 0.0241097 | − | 0.0710249i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 7.55341 | − | 0.994426i | 0.239580 | − | 0.0315413i | ||||
\(995\) | 12.5909 | − | 1.65762i | 0.399157 | − | 0.0525500i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −10.2998 | + | 30.3423i | −0.326199 | + | 0.960951i | 0.652879 | + | 0.757463i | \(0.273561\pi\) |
−0.979077 | + | 0.203488i | \(0.934772\pi\) | |||||||
\(998\) | −46.6365 | + | 31.1615i | −1.47625 | + | 0.986400i | ||||
\(999\) | 0 | 0 |
(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 | 459.2.y.a.116.1 | 256 | ||
3.2 | odd | 2 | 153.2.s.a.65.16 | yes | 256 | ||
9.4 | even | 3 | 153.2.s.a.14.16 | yes | 256 | ||
9.5 | odd | 6 | inner | 459.2.y.a.422.1 | 256 | ||
17.11 | odd | 16 | inner | 459.2.y.a.62.1 | 256 | ||
51.11 | even | 16 | 153.2.s.a.11.16 | ✓ | 256 | ||
153.113 | even | 48 | inner | 459.2.y.a.368.1 | 256 | ||
153.130 | odd | 48 | 153.2.s.a.113.16 | yes | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
153.2.s.a.11.16 | ✓ | 256 | 51.11 | even | 16 | ||
153.2.s.a.14.16 | yes | 256 | 9.4 | even | 3 | ||
153.2.s.a.65.16 | yes | 256 | 3.2 | odd | 2 | ||
153.2.s.a.113.16 | yes | 256 | 153.130 | odd | 48 | ||
459.2.y.a.62.1 | 256 | 17.11 | odd | 16 | inner | ||
459.2.y.a.116.1 | 256 | 1.1 | even | 1 | trivial | ||
459.2.y.a.368.1 | 256 | 153.113 | even | 48 | inner | ||
459.2.y.a.422.1 | 256 | 9.5 | odd | 6 | inner |