Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(13,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.bb (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 13.3 | ||
Character | \(\chi\) | \(=\) | 552.13 |
Dual form | 552.2.bb.a.85.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{7}{11}\right)\) | \(1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.37613 | − | 0.325998i | −0.973069 | − | 0.230515i | ||||
\(3\) | −0.540641 | + | 0.841254i | −0.312139 | + | 0.485698i | ||||
\(4\) | 1.78745 | + | 0.897229i | 0.893725 | + | 0.448615i | ||||
\(5\) | 0.902350 | + | 0.412090i | 0.403543 | + | 0.184292i | 0.606838 | − | 0.794826i | \(-0.292438\pi\) |
−0.203295 | + | 0.979118i | \(0.565165\pi\) | |||||||
\(6\) | 1.01824 | − | 0.981424i | 0.415694 | − | 0.400665i | ||||
\(7\) | −3.01070 | − | 0.884022i | −1.13794 | − | 0.334129i | −0.342116 | − | 0.939658i | \(-0.611143\pi\) |
−0.795823 | + | 0.605529i | \(0.792962\pi\) | |||||||
\(8\) | −2.16726 | − | 1.81741i | −0.766243 | − | 0.642550i | ||||
\(9\) | −0.415415 | − | 0.909632i | −0.138472 | − | 0.303211i | ||||
\(10\) | −1.10741 | − | 0.861252i | −0.350193 | − | 0.272352i | ||||
\(11\) | 2.49850 | + | 2.16496i | 0.753325 | + | 0.652760i | 0.944394 | − | 0.328817i | \(-0.106650\pi\) |
−0.191069 | + | 0.981577i | \(0.561195\pi\) | |||||||
\(12\) | −1.72117 | + | 1.01862i | −0.496858 | + | 0.294050i | ||||
\(13\) | −0.168470 | − | 0.573755i | −0.0467251 | − | 0.159131i | 0.932826 | − | 0.360328i | \(-0.117335\pi\) |
−0.979551 | + | 0.201197i | \(0.935517\pi\) | |||||||
\(14\) | 3.85492 | + | 2.19801i | 1.03027 | + | 0.587443i | ||||
\(15\) | −0.834519 | + | 0.536313i | −0.215472 | + | 0.138475i | ||||
\(16\) | 2.38996 | + | 3.20751i | 0.597490 | + | 0.801877i | ||||
\(17\) | 1.03373 | + | 7.18972i | 0.250715 | + | 1.74376i | 0.593939 | + | 0.804510i | \(0.297572\pi\) |
−0.343223 | + | 0.939254i | \(0.611519\pi\) | |||||||
\(18\) | 0.275125 | + | 1.38719i | 0.0648477 | + | 0.326965i | ||||
\(19\) | −2.99071 | − | 0.429999i | −0.686115 | − | 0.0986484i | −0.209564 | − | 0.977795i | \(-0.567204\pi\) |
−0.476551 | + | 0.879147i | \(0.658113\pi\) | |||||||
\(20\) | 1.24317 | + | 1.54621i | 0.277981 | + | 0.345742i | ||||
\(21\) | 2.37140 | − | 2.05483i | 0.517481 | − | 0.448400i | ||||
\(22\) | −2.73247 | − | 3.79376i | −0.582565 | − | 0.808833i | ||||
\(23\) | −4.32781 | + | 2.06641i | −0.902411 | + | 0.430876i | ||||
\(24\) | 2.70061 | − | 0.840654i | 0.551260 | − | 0.171598i | ||||
\(25\) | −2.62989 | − | 3.03505i | −0.525977 | − | 0.607010i | ||||
\(26\) | 0.0447926 | + | 0.844481i | 0.00878456 | + | 0.165616i | ||||
\(27\) | 0.989821 | + | 0.142315i | 0.190491 | + | 0.0273885i | ||||
\(28\) | −4.58831 | − | 4.28144i | −0.867110 | − | 0.809116i | ||||
\(29\) | 3.65492 | − | 0.525498i | 0.678701 | − | 0.0975825i | 0.205661 | − | 0.978623i | \(-0.434066\pi\) |
0.473040 | + | 0.881041i | \(0.343157\pi\) | |||||||
\(30\) | 1.32324 | − | 0.465983i | 0.241590 | − | 0.0850765i | ||||
\(31\) | −4.15121 | + | 2.66782i | −0.745579 | + | 0.479154i | −0.857449 | − | 0.514569i | \(-0.827952\pi\) |
0.111871 | + | 0.993723i | \(0.464316\pi\) | |||||||
\(32\) | −2.24325 | − | 5.19306i | −0.396554 | − | 0.918012i | ||||
\(33\) | −3.17207 | + | 0.931403i | −0.552186 | + | 0.162136i | ||||
\(34\) | 0.921298 | − | 10.2310i | 0.158001 | − | 1.75460i | ||||
\(35\) | −2.35241 | − | 2.03838i | −0.397630 | − | 0.344549i | ||||
\(36\) | 0.0736148 | − | 1.99864i | 0.0122691 | − | 0.333107i | ||||
\(37\) | 1.10676 | − | 0.505438i | 0.181949 | − | 0.0830935i | −0.322357 | − | 0.946618i | \(-0.604475\pi\) |
0.504307 | + | 0.863524i | \(0.331748\pi\) | |||||||
\(38\) | 3.97541 | + | 1.56670i | 0.644897 | + | 0.254152i | ||||
\(39\) | 0.573755 | + | 0.168470i | 0.0918744 | + | 0.0269768i | ||||
\(40\) | −1.20670 | − | 2.53304i | −0.190795 | − | 0.400510i | ||||
\(41\) | −1.87780 | + | 4.11180i | −0.293263 | + | 0.642156i | −0.997713 | − | 0.0675980i | \(-0.978466\pi\) |
0.704450 | + | 0.709754i | \(0.251194\pi\) | |||||||
\(42\) | −3.93321 | + | 2.05463i | −0.606908 | + | 0.317037i | ||||
\(43\) | −2.11759 | + | 3.29503i | −0.322929 | + | 0.502487i | −0.964324 | − | 0.264723i | \(-0.914719\pi\) |
0.641396 | + | 0.767210i | \(0.278356\pi\) | |||||||
\(44\) | 2.52347 | + | 6.11148i | 0.380428 | + | 0.921340i | ||||
\(45\) | − | 0.991995i | − | 0.147878i | ||||||
\(46\) | 6.62926 | − | 1.43278i | 0.977432 | − | 0.211252i | ||||
\(47\) | −10.7244 | −1.56432 | −0.782161 | − | 0.623077i | \(-0.785882\pi\) | ||||
−0.782161 | + | 0.623077i | \(0.785882\pi\) | |||||||
\(48\) | −3.99044 | + | 0.276452i | −0.575970 | + | 0.0399024i | ||||
\(49\) | 2.39407 | + | 1.53857i | 0.342010 | + | 0.219796i | ||||
\(50\) | 2.62964 | + | 5.03395i | 0.371887 | + | 0.711908i | ||||
\(51\) | −6.60726 | − | 3.01743i | −0.925201 | − | 0.422525i | ||||
\(52\) | 0.213659 | − | 1.17672i | 0.0296291 | − | 0.163181i | ||||
\(53\) | −3.26973 | + | 11.1357i | −0.449131 | + | 1.52960i | 0.354836 | + | 0.934928i | \(0.384537\pi\) |
−0.803968 | + | 0.594673i | \(0.797282\pi\) | |||||||
\(54\) | −1.31573 | − | 0.518523i | −0.179048 | − | 0.0705621i | ||||
\(55\) | 1.36236 | + | 2.98316i | 0.183701 | + | 0.402249i | ||||
\(56\) | 4.91836 | + | 7.38758i | 0.657244 | + | 0.987207i | ||||
\(57\) | 1.97864 | − | 2.28347i | 0.262077 | − | 0.302453i | ||||
\(58\) | −5.20094 | − | 0.468344i | −0.682917 | − | 0.0614966i | ||||
\(59\) | 2.63930 | + | 8.98864i | 0.343608 | + | 1.17022i | 0.932246 | + | 0.361825i | \(0.117846\pi\) |
−0.588638 | + | 0.808397i | \(0.700336\pi\) | |||||||
\(60\) | −1.97286 | + | 0.209878i | −0.254695 | + | 0.0270951i | ||||
\(61\) | −1.77984 | − | 2.76949i | −0.227886 | − | 0.354597i | 0.708415 | − | 0.705796i | \(-0.249410\pi\) |
−0.936301 | + | 0.351199i | \(0.885774\pi\) | |||||||
\(62\) | 6.58229 | − | 2.31797i | 0.835952 | − | 0.294383i | ||||
\(63\) | 0.446557 | + | 3.10587i | 0.0562608 | + | 0.391303i | ||||
\(64\) | 1.39406 | + | 7.87760i | 0.174258 | + | 0.984700i | ||||
\(65\) | 0.0844199 | − | 0.587153i | 0.0104710 | − | 0.0728274i | ||||
\(66\) | 4.66880 | − | 0.247641i | 0.574690 | − | 0.0304825i | ||||
\(67\) | −11.3100 | + | 9.80020i | −1.38174 | + | 1.19729i | −0.425409 | + | 0.905001i | \(0.639870\pi\) |
−0.956331 | + | 0.292284i | \(0.905585\pi\) | |||||||
\(68\) | −4.60310 | + | 13.7788i | −0.558208 | + | 1.67092i | ||||
\(69\) | 0.601418 | − | 4.75797i | 0.0724022 | − | 0.572793i | ||||
\(70\) | 2.57271 | + | 3.57195i | 0.307498 | + | 0.426930i | ||||
\(71\) | −7.25737 | − | 8.37545i | −0.861291 | − | 0.993983i | −0.999993 | − | 0.00364846i | \(-0.998839\pi\) |
0.138703 | − | 0.990334i | \(-0.455707\pi\) | |||||||
\(72\) | −0.752858 | + | 2.72639i | −0.0887251 | + | 0.321308i | ||||
\(73\) | 0.343119 | − | 2.38644i | 0.0401590 | − | 0.279312i | −0.959840 | − | 0.280547i | \(-0.909484\pi\) |
0.999999 | + | 0.00123524i | \(0.000393188\pi\) | |||||||
\(74\) | −1.68781 | + | 0.334747i | −0.196204 | + | 0.0389136i | ||||
\(75\) | 3.97507 | − | 0.571529i | 0.459001 | − | 0.0659944i | ||||
\(76\) | −4.95993 | − | 3.45195i | −0.568943 | − | 0.395966i | ||||
\(77\) | −5.60836 | − | 8.72678i | −0.639132 | − | 0.994508i | ||||
\(78\) | −0.734639 | − | 0.418879i | −0.0831815 | − | 0.0474287i | ||||
\(79\) | 7.19940 | − | 2.11394i | 0.809996 | − | 0.237836i | 0.149593 | − | 0.988748i | \(-0.452204\pi\) |
0.660403 | + | 0.750911i | \(0.270385\pi\) | |||||||
\(80\) | 0.834800 | + | 3.87917i | 0.0933335 | + | 0.433705i | ||||
\(81\) | −0.654861 | + | 0.755750i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | 3.92453 | − | 5.04620i | 0.433391 | − | 0.557260i | ||||
\(83\) | 13.8813 | − | 6.33937i | 1.52367 | − | 0.695836i | 0.534848 | − | 0.844948i | \(-0.320369\pi\) |
0.988820 | + | 0.149112i | \(0.0476414\pi\) | |||||||
\(84\) | 6.08240 | − | 1.54521i | 0.663645 | − | 0.168597i | ||||
\(85\) | −2.03003 | + | 6.91364i | −0.220187 | + | 0.749889i | ||||
\(86\) | 3.98824 | − | 3.84405i | 0.430063 | − | 0.414514i | ||||
\(87\) | −1.53392 | + | 3.35882i | −0.164454 | + | 0.360103i | ||||
\(88\) | −1.48029 | − | 9.23282i | −0.157799 | − | 0.984222i | ||||
\(89\) | 7.20463 | + | 4.63013i | 0.763689 | + | 0.490793i | 0.863584 | − | 0.504205i | \(-0.168214\pi\) |
−0.0998949 | + | 0.994998i | \(0.531851\pi\) | |||||||
\(90\) | −0.323388 | + | 1.36511i | −0.0340881 | + | 0.143895i | ||||
\(91\) | 1.87634i | 0.196694i | ||||||||
\(92\) | −9.58979 | − | 0.189437i | −0.999805 | − | 0.0197502i | ||||
\(93\) | − | 4.93455i | − | 0.511689i | ||||||
\(94\) | 14.7582 | + | 3.49615i | 1.52219 | + | 0.360600i | ||||
\(95\) | −2.52147 | − | 1.62045i | −0.258697 | − | 0.166254i | ||||
\(96\) | 5.58147 | + | 0.920441i | 0.569656 | + | 0.0939421i | ||||
\(97\) | −4.27028 | + | 9.35060i | −0.433581 | + | 0.949410i | 0.559151 | + | 0.829066i | \(0.311127\pi\) |
−0.992732 | + | 0.120344i | \(0.961600\pi\) | |||||||
\(98\) | −2.79297 | − | 2.89773i | −0.282133 | − | 0.292715i | ||||
\(99\) | 0.931403 | − | 3.17207i | 0.0936095 | − | 0.318805i | ||||
\(100\) | −1.97765 | − | 7.78461i | −0.197765 | − | 0.778461i | ||||
\(101\) | 9.66785 | − | 4.41516i | 0.961987 | − | 0.439325i | 0.128406 | − | 0.991722i | \(-0.459014\pi\) |
0.833581 | + | 0.552397i | \(0.186287\pi\) | |||||||
\(102\) | 8.10874 | + | 6.30632i | 0.802885 | + | 0.624419i | ||||
\(103\) | 5.84956 | − | 6.75075i | 0.576374 | − | 0.665171i | −0.390447 | − | 0.920625i | \(-0.627680\pi\) |
0.966821 | + | 0.255454i | \(0.0822251\pi\) | |||||||
\(104\) | −0.677629 | + | 1.54966i | −0.0664469 | + | 0.151956i | ||||
\(105\) | 2.98660 | − | 0.876946i | 0.291463 | − | 0.0855812i | ||||
\(106\) | 8.12976 | − | 14.2582i | 0.789632 | − | 1.38488i | ||||
\(107\) | −1.50024 | − | 2.33442i | −0.145034 | − | 0.225677i | 0.761135 | − | 0.648594i | \(-0.224643\pi\) |
−0.906169 | + | 0.422917i | \(0.861006\pi\) | |||||||
\(108\) | 1.64157 | + | 1.14248i | 0.157960 | + | 0.109935i | ||||
\(109\) | 6.89481 | − | 0.991323i | 0.660403 | − | 0.0949516i | 0.196039 | − | 0.980596i | \(-0.437192\pi\) |
0.464364 | + | 0.885645i | \(0.346283\pi\) | |||||||
\(110\) | −0.902279 | − | 4.54933i | −0.0860289 | − | 0.433761i | ||||
\(111\) | −0.173155 | + | 1.20432i | −0.0164352 | + | 0.114309i | ||||
\(112\) | −4.35995 | − | 11.7696i | −0.411977 | − | 1.11213i | ||||
\(113\) | −0.809453 | − | 0.934158i | −0.0761469 | − | 0.0878782i | 0.716398 | − | 0.697692i | \(-0.245790\pi\) |
−0.792545 | + | 0.609814i | \(0.791244\pi\) | |||||||
\(114\) | −3.46726 | + | 2.49731i | −0.324739 | + | 0.233894i | ||||
\(115\) | −4.75675 | + | 0.0811784i | −0.443569 | + | 0.00756992i | ||||
\(116\) | 7.00448 | + | 2.34000i | 0.650349 | + | 0.217263i | ||||
\(117\) | −0.451921 | + | 0.391592i | −0.0417801 | + | 0.0362027i | ||||
\(118\) | −0.701736 | − | 13.2299i | −0.0646001 | − | 1.21791i | ||||
\(119\) | 3.24363 | − | 22.5600i | 0.297343 | − | 2.06807i | ||||
\(120\) | 2.78332 | + | 0.354330i | 0.254081 | + | 0.0323457i | ||||
\(121\) | −0.0100298 | − | 0.0697587i | −0.000911799 | − | 0.00634170i | ||||
\(122\) | 1.54644 | + | 4.39140i | 0.140008 | + | 0.397579i | ||||
\(123\) | −2.44385 | − | 3.80271i | −0.220355 | − | 0.342879i | ||||
\(124\) | −9.81372 | + | 1.04401i | −0.881298 | + | 0.0937547i | ||||
\(125\) | −2.51975 | − | 8.58149i | −0.225373 | − | 0.767552i | ||||
\(126\) | 0.397989 | − | 4.41965i | 0.0354557 | − | 0.393733i | ||||
\(127\) | 6.99257 | − | 8.06986i | 0.620490 | − | 0.716084i | −0.355310 | − | 0.934749i | \(-0.615625\pi\) |
0.975800 | + | 0.218665i | \(0.0701701\pi\) | |||||||
\(128\) | 0.649674 | − | 11.2950i | 0.0574236 | − | 0.998350i | ||||
\(129\) | −1.62710 | − | 3.56285i | −0.143258 | − | 0.313692i | ||||
\(130\) | −0.307583 | + | 0.780476i | −0.0269768 | + | 0.0684523i | ||||
\(131\) | −3.28522 | + | 11.1884i | −0.287031 | + | 0.977537i | 0.682155 | + | 0.731207i | \(0.261043\pi\) |
−0.969186 | + | 0.246330i | \(0.920775\pi\) | |||||||
\(132\) | −6.50560 | − | 1.18124i | −0.566239 | − | 0.102813i | ||||
\(133\) | 8.62400 | + | 3.93845i | 0.747796 | + | 0.341507i | ||||
\(134\) | 18.7589 | − | 9.79927i | 1.62052 | − | 0.846528i | ||||
\(135\) | 0.834519 | + | 0.536313i | 0.0718240 | + | 0.0461585i | ||||
\(136\) | 10.8263 | − | 17.4607i | 0.928347 | − | 1.49725i | ||||
\(137\) | −9.30526 | −0.795002 | −0.397501 | − | 0.917602i | \(-0.630122\pi\) | ||||
−0.397501 | + | 0.917602i | \(0.630122\pi\) | |||||||
\(138\) | −2.37872 | + | 6.35151i | −0.202490 | + | 0.540677i | ||||
\(139\) | 18.7334i | 1.58895i | 0.607298 | + | 0.794474i | \(0.292253\pi\) | ||||
−0.607298 | + | 0.794474i | \(0.707747\pi\) | |||||||
\(140\) | −2.37593 | − | 5.75415i | −0.200803 | − | 0.486315i | ||||
\(141\) | 5.79807 | − | 9.02198i | 0.488286 | − | 0.759788i | ||||
\(142\) | 7.25668 | + | 13.8916i | 0.608967 | + | 1.16575i | ||||
\(143\) | 0.821236 | − | 1.79825i | 0.0686752 | − | 0.150378i | ||||
\(144\) | 1.92483 | − | 3.50643i | 0.160402 | − | 0.292202i | ||||
\(145\) | 3.51457 | + | 1.03197i | 0.291869 | + | 0.0857005i | ||||
\(146\) | −1.25015 | + | 3.17219i | −0.103463 | + | 0.262532i | ||||
\(147\) | −2.58866 | + | 1.18220i | −0.213509 | + | 0.0975064i | ||||
\(148\) | 2.43176 | + | 0.0895677i | 0.199890 | + | 0.00736242i | ||||
\(149\) | 1.66588 | + | 1.44350i | 0.136474 | + | 0.118256i | 0.720423 | − | 0.693535i | \(-0.243948\pi\) |
−0.583949 | + | 0.811791i | \(0.698493\pi\) | |||||||
\(150\) | −5.65652 | − | 0.509369i | −0.461853 | − | 0.0415898i | ||||
\(151\) | −18.7700 | + | 5.51135i | −1.52748 | + | 0.448508i | −0.934277 | − | 0.356548i | \(-0.883954\pi\) |
−0.593200 | + | 0.805055i | \(0.702136\pi\) | |||||||
\(152\) | 5.70017 | + | 6.36725i | 0.462344 | + | 0.516452i | ||||
\(153\) | 6.11058 | − | 3.92703i | 0.494011 | − | 0.317482i | ||||
\(154\) | 4.87290 | + | 13.8375i | 0.392669 | + | 1.11505i | ||||
\(155\) | −4.84522 | + | 0.696638i | −0.389178 | + | 0.0559553i | ||||
\(156\) | 0.874403 | + | 0.815922i | 0.0700083 | + | 0.0653260i | ||||
\(157\) | 4.61443 | + | 0.663455i | 0.368272 | + | 0.0529495i | 0.323966 | − | 0.946069i | \(-0.394983\pi\) |
0.0443053 | + | 0.999018i | \(0.485893\pi\) | |||||||
\(158\) | −10.5964 | + | 0.562052i | −0.843007 | + | 0.0447145i | ||||
\(159\) | −7.60017 | − | 8.77106i | −0.602733 | − | 0.695591i | ||||
\(160\) | 0.115812 | − | 5.61038i | 0.00915573 | − | 0.443539i | ||||
\(161\) | 14.8565 | − | 2.39546i | 1.17086 | − | 0.188789i | ||||
\(162\) | 1.14754 | − | 0.826524i | 0.0901596 | − | 0.0649379i | ||||
\(163\) | 11.5287 | − | 9.98970i | 0.903000 | − | 0.782454i | −0.0736514 | − | 0.997284i | \(-0.523465\pi\) |
0.976651 | + | 0.214830i | \(0.0689198\pi\) | |||||||
\(164\) | −7.04570 | + | 5.66483i | −0.550177 | + | 0.442349i | ||||
\(165\) | −3.24614 | − | 0.466724i | −0.252711 | − | 0.0363344i | ||||
\(166\) | −21.1690 | + | 4.19851i | −1.64304 | + | 0.325867i | ||||
\(167\) | 1.20591 | + | 8.38727i | 0.0933159 | + | 0.649026i | 0.981772 | + | 0.190064i | \(0.0608696\pi\) |
−0.888456 | + | 0.458962i | \(0.848221\pi\) | |||||||
\(168\) | −8.87390 | + | 0.143559i | −0.684636 | + | 0.0110758i | ||||
\(169\) | 10.6355 | − | 6.83501i | 0.818114 | − | 0.525770i | ||||
\(170\) | 5.04741 | − | 8.85226i | 0.387119 | − | 0.678937i | ||||
\(171\) | 0.851244 | + | 2.89907i | 0.0650962 | + | 0.221697i | ||||
\(172\) | −6.74148 | + | 3.98974i | −0.514033 | + | 0.304215i | ||||
\(173\) | 3.13403 | + | 2.71565i | 0.238276 | + | 0.206467i | 0.765811 | − | 0.643066i | \(-0.222338\pi\) |
−0.527535 | + | 0.849534i | \(0.676883\pi\) | |||||||
\(174\) | 3.20584 | − | 4.12210i | 0.243034 | − | 0.312496i | ||||
\(175\) | 5.23475 | + | 11.4625i | 0.395710 | + | 0.866485i | ||||
\(176\) | −0.972818 | + | 13.1881i | −0.0733289 | + | 0.994091i | ||||
\(177\) | −8.98864 | − | 2.63930i | −0.675628 | − | 0.198382i | ||||
\(178\) | −8.40507 | − | 8.72035i | −0.629987 | − | 0.653618i | ||||
\(179\) | 5.29111 | + | 2.41637i | 0.395476 | + | 0.180608i | 0.603219 | − | 0.797576i | \(-0.293884\pi\) |
−0.207743 | + | 0.978183i | \(0.566612\pi\) | |||||||
\(180\) | 0.890047 | − | 1.77314i | 0.0663402 | − | 0.132162i | ||||
\(181\) | 2.65313 | − | 4.12835i | 0.197206 | − | 0.306858i | −0.728541 | − | 0.685002i | \(-0.759801\pi\) |
0.925747 | + | 0.378144i | \(0.123438\pi\) | |||||||
\(182\) | 0.611683 | − | 2.58208i | 0.0453409 | − | 0.191396i | ||||
\(183\) | 3.29210 | 0.243359 | ||||||||
\(184\) | 13.1350 | + | 3.38694i | 0.968326 | + | 0.249689i | ||||
\(185\) | 1.20697 | 0.0887380 | ||||||||
\(186\) | −1.60865 | + | 6.79056i | −0.117952 | + | 0.497908i | ||||
\(187\) | −12.9827 | + | 20.2015i | −0.949389 | + | 1.47728i | ||||
\(188\) | −19.1694 | − | 9.62229i | −1.39807 | − | 0.701778i | ||||
\(189\) | −2.85425 | − | 1.30349i | −0.207616 | − | 0.0948151i | ||||
\(190\) | 2.94159 | + | 3.05194i | 0.213406 | + | 0.221411i | ||||
\(191\) | 13.7628 | + | 4.04111i | 0.995839 | + | 0.292405i | 0.738747 | − | 0.673982i | \(-0.235418\pi\) |
0.257091 | + | 0.966387i | \(0.417236\pi\) | |||||||
\(192\) | −7.38075 | − | 3.08619i | −0.532660 | − | 0.222727i | ||||
\(193\) | 4.02568 | + | 8.81500i | 0.289775 | + | 0.634518i | 0.997400 | − | 0.0720705i | \(-0.0229607\pi\) |
−0.707625 | + | 0.706588i | \(0.750233\pi\) | |||||||
\(194\) | 8.92472 | − | 11.4755i | 0.640758 | − | 0.823894i | ||||
\(195\) | 0.448304 | + | 0.388457i | 0.0321037 | + | 0.0278180i | ||||
\(196\) | 2.89882 | + | 4.89815i | 0.207059 | + | 0.349868i | ||||
\(197\) | −7.07656 | − | 24.1006i | −0.504184 | − | 1.71709i | −0.680489 | − | 0.732758i | \(-0.738233\pi\) |
0.176305 | − | 0.984336i | \(-0.443585\pi\) | |||||||
\(198\) | −2.31582 | + | 4.06153i | −0.164578 | + | 0.288640i | ||||
\(199\) | 2.07141 | − | 1.33121i | 0.146838 | − | 0.0943672i | −0.465159 | − | 0.885227i | \(-0.654003\pi\) |
0.611997 | + | 0.790860i | \(0.290366\pi\) | |||||||
\(200\) | 0.183735 | + | 11.3573i | 0.0129920 | + | 0.803084i | ||||
\(201\) | −2.12979 | − | 14.8130i | −0.150224 | − | 1.04483i | ||||
\(202\) | −14.7435 | + | 2.92412i | −1.03735 | + | 0.205740i | ||||
\(203\) | −11.4684 | − | 1.64891i | −0.804926 | − | 0.115731i | ||||
\(204\) | −9.10281 | − | 11.3217i | −0.637324 | − | 0.792680i | ||||
\(205\) | −3.38886 | + | 2.93647i | −0.236688 | + | 0.205092i | ||||
\(206\) | −10.2505 | + | 7.38294i | −0.714184 | + | 0.514394i | ||||
\(207\) | 3.67751 | + | 3.07830i | 0.255605 | + | 0.213957i | ||||
\(208\) | 1.43769 | − | 1.91162i | 0.0996857 | − | 0.132547i | ||||
\(209\) | −6.54134 | − | 7.54910i | −0.452474 | − | 0.522182i | ||||
\(210\) | −4.39583 | + | 0.233162i | −0.303341 | + | 0.0160897i | ||||
\(211\) | 7.51478 | + | 1.08046i | 0.517339 | + | 0.0743821i | 0.396039 | − | 0.918234i | \(-0.370385\pi\) |
0.121300 | + | 0.992616i | \(0.461294\pi\) | |||||||
\(212\) | −15.8357 | + | 16.9708i | −1.08760 | + | 1.16556i | ||||
\(213\) | 10.9695 | − | 1.57718i | 0.751618 | − | 0.108066i | ||||
\(214\) | 1.30351 | + | 3.70154i | 0.0891059 | + | 0.253032i | ||||
\(215\) | −3.26865 | + | 2.10064i | −0.222920 | + | 0.143262i | ||||
\(216\) | −1.88656 | − | 2.10734i | −0.128364 | − | 0.143386i | ||||
\(217\) | 14.8565 | − | 4.36225i | 1.00852 | − | 0.296129i | ||||
\(218\) | −9.81130 | − | 0.883507i | −0.664505 | − | 0.0598386i | ||||
\(219\) | 1.82210 | + | 1.57886i | 0.123126 | + | 0.106689i | ||||
\(220\) | −0.241421 | + | 6.55459i | −0.0162766 | + | 0.441911i | ||||
\(221\) | 3.95099 | − | 1.80436i | 0.265772 | − | 0.121374i | ||||
\(222\) | 0.630891 | − | 1.60085i | 0.0423426 | − | 0.107442i | ||||
\(223\) | 10.8149 | + | 3.17555i | 0.724221 | + | 0.212650i | 0.623009 | − | 0.782215i | \(-0.285910\pi\) |
0.101212 | + | 0.994865i | \(0.467728\pi\) | |||||||
\(224\) | 2.16297 | + | 17.6178i | 0.144519 | + | 1.17714i | ||||
\(225\) | −1.66828 | + | 3.65303i | −0.111219 | + | 0.243536i | ||||
\(226\) | 0.809376 | + | 1.54940i | 0.0538389 | + | 0.103065i | ||||
\(227\) | 8.15500 | − | 12.6894i | 0.541266 | − | 0.842227i | −0.457633 | − | 0.889141i | \(-0.651303\pi\) |
0.998899 | + | 0.0469146i | \(0.0149389\pi\) | |||||||
\(228\) | 5.58551 | − | 2.30629i | 0.369909 | − | 0.152738i | ||||
\(229\) | − | 5.98284i | − | 0.395357i | −0.980267 | − | 0.197679i | \(-0.936660\pi\) | ||
0.980267 | − | 0.197679i | \(-0.0633402\pi\) | |||||||
\(230\) | 6.57235 | + | 1.43898i | 0.433368 | + | 0.0948835i | ||||
\(231\) | 10.3735 | 0.682529 | ||||||||
\(232\) | −8.87621 | − | 5.50358i | −0.582752 | − | 0.361328i | ||||
\(233\) | 14.1417 | + | 9.08830i | 0.926452 | + | 0.595395i | 0.914523 | − | 0.404534i | \(-0.132566\pi\) |
0.0119291 | + | 0.999929i | \(0.496203\pi\) | |||||||
\(234\) | 0.749559 | − | 0.391555i | 0.0490002 | − | 0.0255967i | ||||
\(235\) | −9.67721 | − | 4.41943i | −0.631272 | − | 0.288292i | ||||
\(236\) | −3.34725 | + | 18.4348i | −0.217887 | + | 1.20000i | ||||
\(237\) | −2.11394 | + | 7.19940i | −0.137315 | + | 0.467651i | ||||
\(238\) | −11.8182 | + | 29.9880i | −0.766057 | + | 1.94383i | ||||
\(239\) | −4.81675 | − | 10.5472i | −0.311570 | − | 0.682243i | 0.687463 | − | 0.726220i | \(-0.258724\pi\) |
−0.999033 | + | 0.0439768i | \(0.985997\pi\) | |||||||
\(240\) | −3.71469 | − | 1.39496i | −0.239782 | − | 0.0900443i | ||||
\(241\) | 18.5133 | − | 21.3655i | 1.19255 | − | 1.37627i | 0.283820 | − | 0.958877i | \(-0.408398\pi\) |
0.908726 | − | 0.417394i | \(-0.137057\pi\) | |||||||
\(242\) | −0.00893895 | + | 0.0992666i | −0.000574617 | + | 0.00638110i | ||||
\(243\) | −0.281733 | − | 0.959493i | −0.0180732 | − | 0.0615515i | ||||
\(244\) | −0.696514 | − | 6.54726i | −0.0445897 | − | 0.419145i | ||||
\(245\) | 1.52626 | + | 2.37490i | 0.0975090 | + | 0.151727i | ||||
\(246\) | 2.12338 | + | 6.02971i | 0.135382 | + | 0.384440i | ||||
\(247\) | 0.257130 | + | 1.78838i | 0.0163608 | + | 0.113792i | ||||
\(248\) | 13.8453 | + | 1.76257i | 0.879175 | + | 0.111923i | ||||
\(249\) | −2.17177 | + | 15.1050i | −0.137630 | + | 0.957241i | ||||
\(250\) | 0.669950 | + | 12.6307i | 0.0423714 | + | 0.798832i | ||||
\(251\) | 4.63050 | − | 4.01235i | 0.292275 | − | 0.253257i | −0.496364 | − | 0.868115i | \(-0.665332\pi\) |
0.788638 | + | 0.614857i | \(0.210786\pi\) | |||||||
\(252\) | −1.98848 | + | 5.95225i | −0.125262 | + | 0.374957i | ||||
\(253\) | −15.2867 | − | 4.20662i | −0.961067 | − | 0.264468i | ||||
\(254\) | −12.2534 | + | 8.82558i | −0.768848 | + | 0.553766i | ||||
\(255\) | −4.71861 | − | 5.44556i | −0.295491 | − | 0.341014i | ||||
\(256\) | −4.57620 | + | 15.3316i | −0.286012 | + | 0.958226i | ||||
\(257\) | −0.991602 | + | 6.89674i | −0.0618544 | + | 0.430207i | 0.935239 | + | 0.354017i | \(0.115185\pi\) |
−0.997093 | + | 0.0761898i | \(0.975725\pi\) | |||||||
\(258\) | 1.07761 | + | 5.43337i | 0.0670893 | + | 0.338267i | ||||
\(259\) | −3.77893 | + | 0.543328i | −0.234811 | + | 0.0337608i | ||||
\(260\) | 0.677707 | − | 0.973763i | 0.0420296 | − | 0.0603902i | ||||
\(261\) | −1.99632 | − | 3.10633i | −0.123569 | − | 0.192277i | ||||
\(262\) | 8.16828 | − | 14.3257i | 0.504638 | − | 0.885045i | ||||
\(263\) | 22.0394 | − | 6.47135i | 1.35901 | − | 0.399041i | 0.480594 | − | 0.876943i | \(-0.340421\pi\) |
0.878413 | + | 0.477902i | \(0.158603\pi\) | |||||||
\(264\) | 8.56745 | + | 3.74634i | 0.527290 | + | 0.230571i | ||||
\(265\) | −7.53933 | + | 8.70085i | −0.463137 | + | 0.534489i | ||||
\(266\) | −10.5838 | − | 8.23121i | −0.648934 | − | 0.504688i | ||||
\(267\) | −7.79023 | + | 3.55768i | −0.476755 | + | 0.217727i | ||||
\(268\) | −29.0092 | + | 7.36968i | −1.77202 | + | 0.450175i | ||||
\(269\) | −7.23136 | + | 24.6277i | −0.440904 | + | 1.50158i | 0.376993 | + | 0.926216i | \(0.376958\pi\) |
−0.817897 | + | 0.575364i | \(0.804860\pi\) | |||||||
\(270\) | −0.973567 | − | 1.01009i | −0.0592494 | − | 0.0614719i | ||||
\(271\) | −7.54370 | + | 16.5184i | −0.458247 | + | 1.00342i | 0.529636 | + | 0.848225i | \(0.322328\pi\) |
−0.987884 | + | 0.155197i | \(0.950399\pi\) | |||||||
\(272\) | −20.5905 | + | 20.4988i | −1.24848 | + | 1.24292i | ||||
\(273\) | −1.57848 | − | 1.01443i | −0.0955337 | − | 0.0613958i | ||||
\(274\) | 12.8052 | + | 3.03350i | 0.773592 | + | 0.183260i | ||||
\(275\) | − | 13.2766i | − | 0.800612i | ||||||
\(276\) | 5.34400 | − | 7.96503i | 0.321671 | − | 0.479438i | ||||
\(277\) | 20.6989i | 1.24367i | 0.783147 | + | 0.621837i | \(0.213613\pi\) | ||||
−0.783147 | + | 0.621837i | \(0.786387\pi\) | |||||||
\(278\) | 6.10706 | − | 25.7796i | 0.366277 | − | 1.54616i | ||||
\(279\) | 4.15121 | + | 2.66782i | 0.248526 | + | 0.159718i | ||||
\(280\) | 1.39374 | + | 8.69299i | 0.0832918 | + | 0.519506i | ||||
\(281\) | −9.94247 | + | 21.7710i | −0.593118 | + | 1.29875i | 0.340422 | + | 0.940273i | \(0.389430\pi\) |
−0.933540 | + | 0.358474i | \(0.883297\pi\) | |||||||
\(282\) | −10.9200 | + | 10.5252i | −0.650279 | + | 0.626768i | ||||
\(283\) | 8.20725 | − | 27.9513i | 0.487870 | − | 1.66153i | −0.236121 | − | 0.971724i | \(-0.575876\pi\) |
0.723991 | − | 0.689809i | \(-0.242306\pi\) | |||||||
\(284\) | −5.45748 | − | 21.4822i | −0.323842 | − | 1.27474i | ||||
\(285\) | 2.72642 | − | 1.24511i | 0.161499 | − | 0.0737541i | ||||
\(286\) | −1.71635 | + | 2.20691i | −0.101490 | + | 0.130497i | ||||
\(287\) | 9.28842 | − | 10.7194i | 0.548278 | − | 0.632746i | ||||
\(288\) | −3.79189 | + | 4.19780i | −0.223439 | + | 0.247358i | ||||
\(289\) | −34.3122 | + | 10.0750i | −2.01836 | + | 0.592645i | ||||
\(290\) | −4.50007 | − | 2.56586i | −0.264253 | − | 0.150673i | ||||
\(291\) | −5.55754 | − | 8.64770i | −0.325789 | − | 0.506937i | ||||
\(292\) | 2.75449 | − | 3.95779i | 0.161195 | − | 0.231612i | ||||
\(293\) | −22.9413 | + | 3.29846i | −1.34024 | + | 0.192698i | −0.774861 | − | 0.632131i | \(-0.782180\pi\) |
−0.565382 | + | 0.824829i | \(0.691271\pi\) | |||||||
\(294\) | 3.94772 | − | 0.782962i | 0.230236 | − | 0.0456632i | ||||
\(295\) | −1.32255 | + | 9.19853i | −0.0770018 | + | 0.535559i | ||||
\(296\) | −3.31722 | − | 0.916007i | −0.192809 | − | 0.0532418i | ||||
\(297\) | 2.16496 | + | 2.49850i | 0.125624 | + | 0.144977i | ||||
\(298\) | −1.82189 | − | 2.52951i | −0.105539 | − | 0.146530i | ||||
\(299\) | 1.91472 | + | 2.13498i | 0.110731 | + | 0.123469i | ||||
\(300\) | 7.61803 | + | 2.54497i | 0.439827 | + | 0.146934i | ||||
\(301\) | 9.28831 | − | 8.04836i | 0.535369 | − | 0.463900i | ||||
\(302\) | 27.6265 | − | 1.46536i | 1.58973 | − | 0.0843218i | ||||
\(303\) | −1.51257 | + | 10.5201i | −0.0868947 | + | 0.604366i | ||||
\(304\) | −5.76844 | − | 10.6204i | −0.330843 | − | 0.609121i | ||||
\(305\) | −0.464764 | − | 3.23251i | −0.0266123 | − | 0.185093i | ||||
\(306\) | −9.68913 | + | 3.41205i | −0.553891 | + | 0.195054i | ||||
\(307\) | 3.37016 | + | 5.24407i | 0.192345 | + | 0.299295i | 0.924009 | − | 0.382371i | \(-0.124892\pi\) |
−0.731664 | + | 0.681666i | \(0.761256\pi\) | |||||||
\(308\) | −2.19474 | − | 20.6307i | −0.125057 | − | 1.17554i | ||||
\(309\) | 2.51658 | + | 8.57069i | 0.143163 | + | 0.487570i | ||||
\(310\) | 6.89474 | + | 0.620871i | 0.391595 | + | 0.0352631i | ||||
\(311\) | −7.95973 | + | 9.18602i | −0.451355 | + | 0.520891i | −0.935132 | − | 0.354300i | \(-0.884719\pi\) |
0.483777 | + | 0.875191i | \(0.339265\pi\) | |||||||
\(312\) | −0.937301 | − | 1.40787i | −0.0530642 | − | 0.0797047i | ||||
\(313\) | −5.52422 | − | 12.0964i | −0.312247 | − | 0.683726i | 0.686823 | − | 0.726824i | \(-0.259005\pi\) |
−0.999071 | + | 0.0430979i | \(0.986277\pi\) | |||||||
\(314\) | −6.13376 | − | 2.41729i | −0.346148 | − | 0.136416i | ||||
\(315\) | −0.876946 | + | 2.98660i | −0.0494103 | + | 0.168276i | ||||
\(316\) | 14.7653 | + | 2.68096i | 0.830611 | + | 0.150816i | ||||
\(317\) | −2.27569 | − | 1.03927i | −0.127815 | − | 0.0583714i | 0.350481 | − | 0.936570i | \(-0.386018\pi\) |
−0.478296 | + | 0.878199i | \(0.658745\pi\) | |||||||
\(318\) | 7.59945 | + | 14.5477i | 0.426156 | + | 0.815797i | ||||
\(319\) | 10.2695 | + | 6.59979i | 0.574980 | + | 0.369517i | ||||
\(320\) | −1.98834 | + | 7.68283i | −0.111152 | + | 0.429484i | ||||
\(321\) | 2.77494 | 0.154882 | ||||||||
\(322\) | −21.2254 | − | 1.54673i | −1.18284 | − | 0.0861961i | ||||
\(323\) | − | 21.9468i | − | 1.22116i | ||||||
\(324\) | −1.84861 | + | 0.763305i | −0.102701 | + | 0.0424058i | ||||
\(325\) | −1.29832 | + | 2.02022i | −0.0720178 | + | 0.112062i | ||||
\(326\) | −19.1216 | + | 9.98876i | −1.05905 | + | 0.553226i | ||||
\(327\) | −2.89366 | + | 6.33623i | −0.160020 | + | 0.350394i | ||||
\(328\) | 11.5425 | − | 5.49864i | 0.637328 | − | 0.303611i | ||||
\(329\) | 32.2881 | + | 9.48065i | 1.78010 | + | 0.522685i | ||||
\(330\) | 4.31495 | + | 1.70051i | 0.237530 | + | 0.0936098i | ||||
\(331\) | −4.98028 | + | 2.27442i | −0.273741 | + | 0.125013i | −0.547556 | − | 0.836769i | \(-0.684442\pi\) |
0.273815 | + | 0.961782i | \(0.411714\pi\) | |||||||
\(332\) | 30.5000 | + | 1.12339i | 1.67390 | + | 0.0616538i | ||||
\(333\) | −0.919526 | − | 0.796774i | −0.0503897 | − | 0.0436629i | ||||
\(334\) | 1.07475 | − | 11.9351i | 0.0588078 | − | 0.653058i | ||||
\(335\) | −14.2442 | + | 4.18247i | −0.778243 | + | 0.228513i | ||||
\(336\) | 12.2584 | + | 2.69532i | 0.668751 | + | 0.147042i | ||||
\(337\) | 0.206079 | − | 0.132439i | 0.0112258 | − | 0.00721440i | −0.535016 | − | 0.844842i | \(-0.679694\pi\) |
0.546242 | + | 0.837628i | \(0.316058\pi\) | |||||||
\(338\) | −16.8640 | + | 5.93869i | −0.917279 | + | 0.323022i | ||||
\(339\) | 1.22349 | − | 0.175911i | 0.0664507 | − | 0.00955417i | ||||
\(340\) | −9.83169 | + | 10.5364i | −0.533198 | + | 0.571416i | ||||
\(341\) | −16.1475 | − | 2.32166i | −0.874435 | − | 0.125725i | ||||
\(342\) | −0.226328 | − | 4.26699i | −0.0122384 | − | 0.230732i | ||||
\(343\) | 8.53609 | + | 9.85117i | 0.460906 | + | 0.531913i | ||||
\(344\) | 10.5778 | − | 3.29268i | 0.570316 | − | 0.177529i | ||||
\(345\) | 2.50340 | − | 4.04552i | 0.134779 | − | 0.217803i | ||||
\(346\) | −3.42753 | − | 4.75877i | −0.184265 | − | 0.255833i | ||||
\(347\) | −8.28752 | + | 7.18118i | −0.444897 | + | 0.385506i | −0.848299 | − | 0.529517i | \(-0.822373\pi\) |
0.403402 | + | 0.915023i | \(0.367828\pi\) | |||||||
\(348\) | −5.75544 | + | 4.62744i | −0.308524 | + | 0.248057i | ||||
\(349\) | −3.03469 | − | 0.436323i | −0.162443 | − | 0.0233558i | 0.0606133 | − | 0.998161i | \(-0.480694\pi\) |
−0.223057 | + | 0.974806i | \(0.571603\pi\) | |||||||
\(350\) | −3.46693 | − | 17.4804i | −0.185315 | − | 0.934366i | ||||
\(351\) | −0.0851011 | − | 0.591891i | −0.00454236 | − | 0.0315928i | ||||
\(352\) | 5.63802 | − | 17.8314i | 0.300507 | − | 0.950415i | ||||
\(353\) | −0.0950748 | + | 0.0611008i | −0.00506032 | + | 0.00325207i | −0.543169 | − | 0.839624i | \(-0.682776\pi\) |
0.538108 | + | 0.842876i | \(0.319139\pi\) | |||||||
\(354\) | 11.5091 | + | 6.56230i | 0.611702 | + | 0.348782i | ||||
\(355\) | −3.09725 | − | 10.5483i | −0.164385 | − | 0.559844i | ||||
\(356\) | 8.72363 | + | 14.7403i | 0.462351 | + | 0.781237i | ||||
\(357\) | 17.2250 | + | 14.9256i | 0.911644 | + | 0.789944i | ||||
\(358\) | −6.49351 | − | 5.05012i | −0.343192 | − | 0.266907i | ||||
\(359\) | −5.17269 | − | 11.3266i | −0.273004 | − | 0.597796i | 0.722620 | − | 0.691246i | \(-0.242938\pi\) |
−0.995624 | + | 0.0934500i | \(0.970210\pi\) | |||||||
\(360\) | −1.80286 | + | 2.14991i | −0.0950190 | + | 0.113310i | ||||
\(361\) | −9.47094 | − | 2.78092i | −0.498471 | − | 0.146364i | ||||
\(362\) | −4.99688 | + | 4.81622i | −0.262630 | + | 0.253135i | ||||
\(363\) | 0.0641073 | + | 0.0292768i | 0.00336476 | + | 0.00153663i | ||||
\(364\) | −1.68351 | + | 3.35386i | −0.0882397 | + | 0.175790i | ||||
\(365\) | 1.29304 | − | 2.01201i | 0.0676809 | − | 0.105313i | ||||
\(366\) | −4.53035 | − | 1.07322i | −0.236805 | − | 0.0560980i | ||||
\(367\) | 4.13419 | 0.215803 | 0.107901 | − | 0.994162i | \(-0.465587\pi\) | ||||
0.107901 | + | 0.994162i | \(0.465587\pi\) | |||||||
\(368\) | −16.9713 | − | 8.94285i | −0.884691 | − | 0.466178i | ||||
\(369\) | 4.52029 | 0.235317 | ||||||||
\(370\) | −1.66094 | − | 0.393469i | −0.0863482 | − | 0.0204555i | ||||
\(371\) | 19.6884 | − | 30.6357i | 1.02217 | − | 1.59053i | ||||
\(372\) | 4.42742 | − | 8.82026i | 0.229551 | − | 0.457309i | ||||
\(373\) | −13.7159 | − | 6.26383i | −0.710181 | − | 0.324329i | 0.0273649 | − | 0.999626i | \(-0.491288\pi\) |
−0.737546 | + | 0.675296i | \(0.764016\pi\) | |||||||
\(374\) | 24.4515 | − | 23.5674i | 1.26436 | − | 1.21864i | ||||
\(375\) | 8.58149 | + | 2.51975i | 0.443146 | + | 0.130119i | ||||
\(376\) | 23.2427 | + | 19.4907i | 1.19865 | + | 1.00516i | ||||
\(377\) | −0.917250 | − | 2.00850i | −0.0472408 | − | 0.103443i | ||||
\(378\) | 3.50287 | + | 2.72425i | 0.180168 | + | 0.140120i | ||||
\(379\) | 22.0065 | + | 19.0687i | 1.13040 | + | 0.979494i | 0.999928 | − | 0.0119583i | \(-0.00380655\pi\) |
0.130468 | + | 0.991453i | \(0.458352\pi\) | |||||||
\(380\) | −3.05308 | − | 5.15880i | −0.156620 | − | 0.264641i | ||||
\(381\) | 3.00833 | + | 10.2454i | 0.154121 | + | 0.524889i | ||||
\(382\) | −17.6219 | − | 10.0477i | −0.901616 | − | 0.514086i | ||||
\(383\) | −11.4911 | + | 7.38488i | −0.587168 | + | 0.377350i | −0.800234 | − | 0.599688i | \(-0.795291\pi\) |
0.213066 | + | 0.977038i | \(0.431655\pi\) | |||||||
\(384\) | 9.15075 | + | 6.65310i | 0.466972 | + | 0.339515i | ||||
\(385\) | −1.46449 | − | 10.1858i | −0.0746373 | − | 0.519114i | ||||
\(386\) | −2.66617 | − | 13.4429i | −0.135704 | − | 0.684227i | ||||
\(387\) | 3.87694 | + | 0.557420i | 0.197076 | + | 0.0283353i | ||||
\(388\) | −16.0225 | + | 12.8823i | −0.813421 | + | 0.654001i | ||||
\(389\) | −15.0671 | + | 13.0557i | −0.763931 | + | 0.661950i | −0.947030 | − | 0.321144i | \(-0.895933\pi\) |
0.183099 | + | 0.983094i | \(0.441387\pi\) | |||||||
\(390\) | −0.490286 | − | 0.680713i | −0.0248266 | − | 0.0344692i | ||||
\(391\) | −19.3307 | − | 28.9797i | −0.977595 | − | 1.46557i | ||||
\(392\) | −2.39236 | − | 7.68549i | −0.120832 | − | 0.388176i | ||||
\(393\) | −7.63618 | − | 8.81262i | −0.385194 | − | 0.444538i | ||||
\(394\) | 1.88151 | + | 35.4724i | 0.0947892 | + | 1.78707i | ||||
\(395\) | 7.36752 | + | 1.05929i | 0.370700 | + | 0.0532986i | ||||
\(396\) | 4.51091 | − | 4.83423i | 0.226682 | − | 0.242929i | ||||
\(397\) | −17.7183 | + | 2.54751i | −0.889256 | + | 0.127856i | −0.571776 | − | 0.820410i | \(-0.693745\pi\) |
−0.317479 | + | 0.948265i | \(0.602836\pi\) | |||||||
\(398\) | −3.28449 | + | 1.15664i | −0.164637 | + | 0.0579773i | ||||
\(399\) | −7.97572 | + | 5.12569i | −0.399285 | + | 0.256605i | ||||
\(400\) | 3.44962 | − | 15.6890i | 0.172481 | − | 0.784451i | ||||
\(401\) | −34.8160 | + | 10.2229i | −1.73863 | + | 0.510507i | −0.988557 | − | 0.150850i | \(-0.951799\pi\) |
−0.750071 | + | 0.661357i | \(0.769981\pi\) | |||||||
\(402\) | −1.89815 | + | 21.0789i | −0.0946712 | + | 1.05132i | ||||
\(403\) | 2.23003 | + | 1.93233i | 0.111086 | + | 0.0962562i | ||||
\(404\) | 21.2422 | + | 0.782402i | 1.05684 | + | 0.0389259i | ||||
\(405\) | −0.902350 | + | 0.412090i | −0.0448382 | + | 0.0204769i | ||||
\(406\) | 15.2445 | + | 6.00780i | 0.756570 | + | 0.298162i | ||||
\(407\) | 3.85948 | + | 1.13324i | 0.191307 | + | 0.0561728i | ||||
\(408\) | 8.83576 | + | 18.5476i | 0.437435 | + | 0.918245i | ||||
\(409\) | 9.83929 | − | 21.5450i | 0.486522 | − | 1.06533i | −0.494097 | − | 0.869407i | \(-0.664501\pi\) |
0.980619 | − | 0.195927i | \(-0.0627715\pi\) | |||||||
\(410\) | 5.62079 | − | 2.93619i | 0.277591 | − | 0.145008i | ||||
\(411\) | 5.03080 | − | 7.82808i | 0.248151 | − | 0.386131i | ||||
\(412\) | 16.5128 | − | 6.81823i | 0.813525 | − | 0.335910i | ||||
\(413\) | − | 29.3953i | − | 1.44645i | ||||||
\(414\) | −4.05720 | − | 5.43499i | −0.199401 | − | 0.267115i | ||||
\(415\) | 15.1382 | 0.743104 | ||||||||
\(416\) | −2.60163 | + | 2.16195i | −0.127555 | + | 0.105998i | ||||
\(417\) | −15.7596 | − | 10.1280i | −0.771749 | − | 0.495973i | ||||
\(418\) | 6.54071 | + | 12.5210i | 0.319917 | + | 0.612421i | ||||
\(419\) | −20.7062 | − | 9.45622i | −1.01157 | − | 0.461966i | −0.160505 | − | 0.987035i | \(-0.551312\pi\) |
−0.851060 | + | 0.525068i | \(0.824040\pi\) | |||||||
\(420\) | 6.12523 | + | 1.11217i | 0.298880 | + | 0.0542684i | ||||
\(421\) | −6.47643 | + | 22.0567i | −0.315642 | + | 1.07498i | 0.636995 | + | 0.770868i | \(0.280177\pi\) |
−0.952637 | + | 0.304110i | \(0.901641\pi\) | |||||||
\(422\) | −9.98907 | − | 3.93666i | −0.486260 | − | 0.191634i | ||||
\(423\) | 4.45510 | + | 9.75530i | 0.216614 | + | 0.474319i | ||||
\(424\) | 27.3244 | − | 18.1915i | 1.32699 | − | 0.883457i | ||||
\(425\) | 19.1026 | − | 22.0456i | 0.926612 | − | 1.06937i | ||||
\(426\) | −15.6096 | − | 1.40564i | −0.756287 | − | 0.0681036i | ||||
\(427\) | 2.91029 | + | 9.91154i | 0.140839 | + | 0.479653i | ||||
\(428\) | −0.587097 | − | 5.51873i | −0.0283784 | − | 0.266758i | ||||
\(429\) | 1.06879 | + | 1.66308i | 0.0516019 | + | 0.0802941i | ||||
\(430\) | 5.18288 | − | 1.82517i | 0.249941 | − | 0.0880173i | ||||
\(431\) | −5.07911 | − | 35.3260i | −0.244652 | − | 1.70159i | −0.628184 | − | 0.778065i | \(-0.716201\pi\) |
0.383532 | − | 0.923528i | \(-0.374708\pi\) | |||||||
\(432\) | 1.90916 | + | 3.51499i | 0.0918543 | + | 0.169115i | ||||
\(433\) | −1.39665 | + | 9.71391i | −0.0671187 | + | 0.466821i | 0.928348 | + | 0.371712i | \(0.121229\pi\) |
−0.995467 | + | 0.0951090i | \(0.969680\pi\) | |||||||
\(434\) | −21.8665 | + | 1.15983i | −1.04962 | + | 0.0556738i | ||||
\(435\) | −2.76827 | + | 2.39872i | −0.132728 | + | 0.115010i | ||||
\(436\) | 13.2136 | + | 4.41428i | 0.632815 | + | 0.211406i | ||||
\(437\) | 13.8318 | − | 4.31907i | 0.661663 | − | 0.206609i | ||||
\(438\) | −1.99273 | − | 2.76671i | −0.0952165 | − | 0.132198i | ||||
\(439\) | 5.56028 | + | 6.41690i | 0.265378 | + | 0.306262i | 0.872762 | − | 0.488146i | \(-0.162327\pi\) |
−0.607384 | + | 0.794408i | \(0.707781\pi\) | |||||||
\(440\) | 2.46901 | − | 8.94125i | 0.117705 | − | 0.426257i | ||||
\(441\) | 0.405004 | − | 2.81687i | 0.0192859 | − | 0.134137i | ||||
\(442\) | −6.02528 | + | 1.19501i | −0.286593 | + | 0.0568408i | ||||
\(443\) | 19.3736 | − | 2.78551i | 0.920469 | − | 0.132343i | 0.334239 | − | 0.942488i | \(-0.391521\pi\) |
0.586230 | + | 0.810145i | \(0.300612\pi\) | |||||||
\(444\) | −1.39006 | + | 1.99731i | −0.0659694 | + | 0.0947880i | ||||
\(445\) | 4.59307 | + | 7.14696i | 0.217732 | + | 0.338798i | ||||
\(446\) | −13.8475 | − | 7.89560i | −0.655697 | − | 0.373867i | ||||
\(447\) | −2.11499 | + | 0.621017i | −0.100036 | + | 0.0293731i | ||||
\(448\) | 2.76686 | − | 24.9495i | 0.130722 | − | 1.17875i | ||||
\(449\) | 1.54465 | − | 1.78263i | 0.0728967 | − | 0.0841273i | −0.718130 | − | 0.695909i | \(-0.755002\pi\) |
0.791026 | + | 0.611782i | \(0.209547\pi\) | |||||||
\(450\) | 3.48665 | − | 4.48318i | 0.164362 | − | 0.211339i | ||||
\(451\) | −13.5935 | + | 6.20797i | −0.640095 | + | 0.292322i | ||||
\(452\) | −0.608702 | − | 2.39603i | −0.0286309 | − | 0.112700i | ||||
\(453\) | 5.51135 | − | 18.7700i | 0.258946 | − | 0.881889i | ||||
\(454\) | −15.3590 | + | 14.8037i | −0.720836 | + | 0.694774i | ||||
\(455\) | −0.773220 | + | 1.69311i | −0.0362491 | + | 0.0793744i | ||||
\(456\) | −8.43821 | + | 1.35289i | −0.395156 | + | 0.0633548i | ||||
\(457\) | −10.2074 | − | 6.55991i | −0.477483 | − | 0.306860i | 0.279671 | − | 0.960096i | \(-0.409775\pi\) |
−0.757154 | + | 0.653236i | \(0.773411\pi\) | |||||||
\(458\) | −1.95039 | + | 8.23314i | −0.0911359 | + | 0.384710i | ||||
\(459\) | 7.26366i | 0.339039i | ||||||||
\(460\) | −8.57529 | − | 4.12279i | −0.399825 | − | 0.192226i | ||||
\(461\) | 26.7671i | 1.24667i | 0.781956 | + | 0.623334i | \(0.214222\pi\) | ||||
−0.781956 | + | 0.623334i | \(0.785778\pi\) | |||||||
\(462\) | −14.2753 | − | 3.38175i | −0.664147 | − | 0.157333i | ||||
\(463\) | 5.27314 | + | 3.38884i | 0.245064 | + | 0.157493i | 0.657407 | − | 0.753536i | \(-0.271653\pi\) |
−0.412343 | + | 0.911029i | \(0.635290\pi\) | |||||||
\(464\) | 10.4206 | + | 10.4673i | 0.483766 | + | 0.485930i | ||||
\(465\) | 2.03348 | − | 4.45269i | 0.0943002 | − | 0.206489i | ||||
\(466\) | −16.4980 | − | 17.1168i | −0.764254 | − | 0.792921i | ||||
\(467\) | 5.87212 | − | 19.9986i | 0.271729 | − | 0.925425i | −0.704685 | − | 0.709520i | \(-0.748912\pi\) |
0.976414 | − | 0.215905i | \(-0.0692700\pi\) | |||||||
\(468\) | −1.15913 | + | 0.294474i | −0.0535810 | + | 0.0136121i | ||||
\(469\) | 42.7148 | − | 19.5072i | 1.97238 | − | 0.900758i | ||||
\(470\) | 11.8763 | + | 9.23645i | 0.547815 | + | 0.426046i | ||||
\(471\) | −3.05288 | + | 3.52322i | −0.140669 | + | 0.162341i | ||||
\(472\) | 10.6160 | − | 24.2774i | 0.488639 | − | 1.11746i | ||||
\(473\) | −12.4244 | + | 3.64813i | −0.571274 | + | 0.167741i | ||||
\(474\) | 5.25604 | − | 9.21815i | 0.241418 | − | 0.423404i | ||||
\(475\) | 6.56015 | + | 10.2078i | 0.301000 | + | 0.468365i | ||||
\(476\) | 26.0393 | − | 37.4145i | 1.19351 | − | 1.71489i | ||||
\(477\) | 11.4876 | − | 1.65167i | 0.525983 | − | 0.0756250i | ||||
\(478\) | 3.19009 | + | 16.0846i | 0.145911 | + | 0.735691i | ||||
\(479\) | −2.23867 | + | 15.5703i | −0.102288 | + | 0.711426i | 0.872552 | + | 0.488521i | \(0.162463\pi\) |
−0.974840 | + | 0.222906i | \(0.928446\pi\) | |||||||
\(480\) | 4.65714 | + | 3.13063i | 0.212568 | + | 0.142893i | ||||
\(481\) | −0.476453 | − | 0.549856i | −0.0217244 | − | 0.0250713i | ||||
\(482\) | −32.4417 | + | 23.3663i | −1.47768 | + | 1.06431i | ||||
\(483\) | −6.01685 | + | 13.7932i | −0.273776 | + | 0.627611i | ||||
\(484\) | 0.0446618 | − | 0.133689i | 0.00203008 | − | 0.00607679i | ||||
\(485\) | −7.70657 | + | 6.67778i | −0.349937 | + | 0.303222i | ||||
\(486\) | 0.0749069 | + | 1.41223i | 0.00339785 | + | 0.0640600i | ||||
\(487\) | 3.43131 | − | 23.8653i | 0.155488 | − | 1.08144i | −0.751333 | − | 0.659924i | \(-0.770589\pi\) |
0.906820 | − | 0.421517i | \(-0.138502\pi\) | |||||||
\(488\) | −1.17590 | + | 9.23692i | −0.0532306 | + | 0.418136i | ||||
\(489\) | 2.17097 | + | 15.0994i | 0.0981747 | + | 0.682820i | ||||
\(490\) | −1.32611 | − | 3.76573i | −0.0599076 | − | 0.170118i | ||||
\(491\) | 4.64077 | + | 7.22118i | 0.209435 | + | 0.325887i | 0.930040 | − | 0.367459i | \(-0.119772\pi\) |
−0.720605 | + | 0.693346i | \(0.756136\pi\) | |||||||
\(492\) | −0.956364 | − | 8.98986i | −0.0431162 | − | 0.405294i | ||||
\(493\) | 7.55637 | + | 25.7346i | 0.340322 | + | 1.15903i | ||||
\(494\) | 0.229164 | − | 2.54485i | 0.0103106 | − | 0.114498i | ||||
\(495\) | 2.14763 | − | 2.47849i | 0.0965287 | − | 0.111400i | ||||
\(496\) | −18.4783 | − | 6.93904i | −0.829698 | − | 0.311572i | ||||
\(497\) | 14.4457 | + | 31.6317i | 0.647978 | + | 1.41887i | ||||
\(498\) | 7.91283 | − | 20.0784i | 0.354583 | − | 0.899735i | ||||
\(499\) | 10.7896 | − | 36.7461i | 0.483010 | − | 1.64498i | −0.252597 | − | 0.967572i | \(-0.581285\pi\) |
0.735607 | − | 0.677409i | \(-0.236897\pi\) | |||||||
\(500\) | 3.19563 | − | 17.5998i | 0.142913 | − | 0.787086i | ||||
\(501\) | −7.70778 | − | 3.52003i | −0.344358 | − | 0.157263i | ||||
\(502\) | −7.68017 | + | 4.01197i | −0.342783 | + | 0.179063i | ||||
\(503\) | 14.6491 | + | 9.41438i | 0.653169 | + | 0.419767i | 0.824823 | − | 0.565391i | \(-0.191275\pi\) |
−0.171654 | + | 0.985157i | \(0.554911\pi\) | |||||||
\(504\) | 4.67682 | − | 7.54281i | 0.208322 | − | 0.335984i | ||||
\(505\) | 10.5432 | 0.469168 | ||||||||
\(506\) | 19.6651 | + | 10.7723i | 0.874220 | + | 0.478886i | ||||
\(507\) | 12.6424i | 0.561470i | ||||||||
\(508\) | 19.7394 | − | 8.15053i | 0.875794 | − | 0.361621i | ||||
\(509\) | −14.7678 | + | 22.9792i | −0.654573 | + | 1.01853i | 0.342306 | + | 0.939588i | \(0.388792\pi\) |
−0.996879 | + | 0.0789465i | \(0.974844\pi\) | |||||||
\(510\) | 4.71816 | + | 9.03204i | 0.208924 | + | 0.399946i | ||||
\(511\) | −3.14270 | + | 6.88155i | −0.139025 | + | 0.304422i | ||||
\(512\) | 11.2955 | − | 19.6064i | 0.499195 | − | 0.866489i | ||||
\(513\) | −2.89907 | − | 0.851244i | −0.127997 | − | 0.0375833i | ||||
\(514\) | 3.61289 | − | 9.16753i | 0.159358 | − | 0.404363i | ||||
\(515\) | 8.06026 | − | 3.68100i | 0.355178 | − | 0.162204i | ||||
\(516\) | 0.288335 | − | 7.82831i | 0.0126933 | − | 0.344622i | ||||
\(517\) | −26.7950 | − | 23.2180i | −1.17844 | − | 1.02113i | ||||
\(518\) | 5.37741 | + | 0.484236i | 0.236270 | + | 0.0212761i | ||||
\(519\) | −3.97894 | + | 1.16832i | −0.174656 | + | 0.0512836i | ||||
\(520\) | −1.25006 | + | 1.11909i | −0.0548186 | + | 0.0490753i | ||||
\(521\) | −7.65683 | + | 4.92074i | −0.335452 | + | 0.215582i | −0.697512 | − | 0.716573i | \(-0.745710\pi\) |
0.362061 | + | 0.932155i | \(0.382073\pi\) | |||||||
\(522\) | 1.73453 | + | 4.92550i | 0.0759182 | + | 0.215583i | ||||
\(523\) | 0.577875 | − | 0.0830858i | 0.0252687 | − | 0.00363309i | −0.129669 | − | 0.991557i | \(-0.541391\pi\) |
0.154938 | + | 0.987924i | \(0.450482\pi\) | |||||||
\(524\) | −15.9107 | + | 17.0512i | −0.695064 | + | 0.744883i | ||||
\(525\) | −12.4730 | − | 1.79335i | −0.544366 | − | 0.0782681i | ||||
\(526\) | −32.4387 | + | 1.72060i | −1.41439 | + | 0.0750217i | ||||
\(527\) | −23.4721 | − | 27.0882i | −1.02246 | − | 1.17998i | ||||
\(528\) | −10.5686 | − | 7.94841i | −0.459939 | − | 0.345910i | ||||
\(529\) | 14.4599 | − | 17.8861i | 0.628692 | − | 0.777655i | ||||
\(530\) | 13.2115 | − | 9.51567i | 0.573872 | − | 0.413334i | ||||
\(531\) | 7.07995 | − | 6.13481i | 0.307244 | − | 0.266228i | ||||
\(532\) | 11.8813 | + | 14.7775i | 0.515119 | + | 0.640686i | ||||
\(533\) | 2.67552 | + | 0.384682i | 0.115890 | + | 0.0166624i | ||||
\(534\) | 11.8801 | − | 2.35622i | 0.514104 | − | 0.101964i | ||||
\(535\) | −0.391753 | − | 2.72470i | −0.0169370 | − | 0.117799i | ||||
\(536\) | 42.3228 | − | 0.684683i | 1.82807 | − | 0.0295738i | ||||
\(537\) | −4.89337 | + | 3.14478i | −0.211164 | + | 0.135707i | ||||
\(538\) | 17.9799 | − | 31.5335i | 0.775167 | − | 1.35951i | ||||
\(539\) | 2.65062 | + | 9.02718i | 0.114170 | + | 0.388828i | ||||
\(540\) | 1.01047 | + | 1.70739i | 0.0434835 | + | 0.0734743i | ||||
\(541\) | 19.5313 | + | 16.9240i | 0.839717 | + | 0.727619i | 0.964363 | − | 0.264582i | \(-0.0852341\pi\) |
−0.124646 | + | 0.992201i | \(0.539780\pi\) | |||||||
\(542\) | 15.7661 | − | 20.2722i | 0.677210 | − | 0.870765i | ||||
\(543\) | 2.03860 | + | 4.46391i | 0.0874847 | + | 0.191565i | ||||
\(544\) | 35.0178 | − | 21.4965i | 1.50137 | − | 0.921656i | ||||
\(545\) | 6.63004 | + | 1.94676i | 0.284000 | + | 0.0833899i | ||||
\(546\) | 1.84148 | + | 1.91056i | 0.0788082 | + | 0.0817643i | ||||
\(547\) | −36.0707 | − | 16.4729i | −1.54227 | − | 0.704331i | −0.550796 | − | 0.834640i | \(-0.685676\pi\) |
−0.991473 | + | 0.130309i | \(0.958403\pi\) | |||||||
\(548\) | −16.6327 | − | 8.34895i | −0.710513 | − | 0.356650i | ||||
\(549\) | −1.77984 | + | 2.76949i | −0.0759619 | + | 0.118199i | ||||
\(550\) | −4.32816 | + | 18.2704i | −0.184553 | + | 0.779051i | ||||
\(551\) | −11.1567 | −0.475293 | ||||||||
\(552\) | −9.95060 | + | 9.21876i | −0.423526 | + | 0.392376i | ||||
\(553\) | −23.5440 | −1.00119 | ||||||||
\(554\) | 6.74779 | − | 28.4843i | 0.286686 | − | 1.21018i | ||||
\(555\) | −0.652536 | + | 1.01537i | −0.0276986 | + | 0.0430999i | ||||
\(556\) | −16.8082 | + | 33.4851i | −0.712825 | + | 1.42008i | ||||
\(557\) | 38.4371 | + | 17.5536i | 1.62863 | + | 0.743772i | 0.999439 | − | 0.0334769i | \(-0.0106580\pi\) |
0.629194 | + | 0.777249i | \(0.283385\pi\) | |||||||
\(558\) | −4.84288 | − | 5.02454i | −0.205016 | − | 0.212706i | ||||
\(559\) | 2.24729 | + | 0.659864i | 0.0950502 | + | 0.0279093i | ||||
\(560\) | 0.915939 | − | 12.4170i | 0.0387055 | − | 0.524715i | ||||
\(561\) | −9.97558 | − | 21.8435i | −0.421169 | − | 0.922232i | ||||
\(562\) | 20.7794 | − | 26.7184i | 0.876526 | − | 1.12705i | ||||
\(563\) | 32.5194 | + | 28.1782i | 1.37053 | + | 1.18757i | 0.961420 | + | 0.275083i | \(0.0887054\pi\) |
0.409108 | + | 0.912486i | \(0.365840\pi\) | |||||||
\(564\) | 18.4586 | − | 10.9241i | 0.777246 | − | 0.459989i | ||||
\(565\) | −0.345453 | − | 1.17650i | −0.0145333 | − | 0.0494959i | ||||
\(566\) | −20.4063 | + | 35.7890i | −0.857740 | + | 1.50432i | ||||
\(567\) | 2.63969 | − | 1.69643i | 0.110857 | − | 0.0712432i | ||||
\(568\) | 0.507030 | + | 31.3414i | 0.0212745 | + | 1.31506i | ||||
\(569\) | −1.53418 | − | 10.6704i | −0.0643160 | − | 0.447328i | −0.996378 | − | 0.0850298i | \(-0.972901\pi\) |
0.932062 | − | 0.362298i | \(-0.118008\pi\) | |||||||
\(570\) | −4.15780 | + | 0.824626i | −0.174151 | + | 0.0345398i | ||||
\(571\) | 9.62349 | + | 1.38365i | 0.402730 | + | 0.0579039i | 0.340704 | − | 0.940171i | \(-0.389335\pi\) |
0.0620264 | + | 0.998075i | \(0.480244\pi\) | |||||||
\(572\) | 3.08137 | − | 2.47746i | 0.128838 | − | 0.103588i | ||||
\(573\) | −10.8403 | + | 9.39318i | −0.452861 | + | 0.392406i | ||||
\(574\) | −16.2765 | + | 11.7233i | −0.679370 | + | 0.489319i | ||||
\(575\) | 17.6533 | + | 7.70070i | 0.736194 | + | 0.321142i | ||||
\(576\) | 6.58660 | − | 4.54056i | 0.274442 | − | 0.189190i | ||||
\(577\) | −14.2548 | − | 16.4509i | −0.593435 | − | 0.684860i | 0.377003 | − | 0.926212i | \(-0.376955\pi\) |
−0.970438 | + | 0.241352i | \(0.922409\pi\) | |||||||
\(578\) | 50.5023 | − | 2.67872i | 2.10062 | − | 0.111420i | ||||
\(579\) | −9.59210 | − | 1.37914i | −0.398634 | − | 0.0573149i | ||||
\(580\) | 5.35620 | + | 4.99797i | 0.222404 | + | 0.207529i | ||||
\(581\) | −47.3966 | + | 6.81460i | −1.96634 | + | 0.282717i | ||||
\(582\) | 4.82875 | + | 13.7121i | 0.200158 | + | 0.568384i | ||||
\(583\) | −32.2776 | + | 20.7436i | −1.33680 | + | 0.859111i | ||||
\(584\) | −5.08076 | + | 4.54846i | −0.210244 | + | 0.188217i | ||||
\(585\) | −0.569162 | + | 0.167121i | −0.0235320 | + | 0.00690961i | ||||
\(586\) | 32.6454 | + | 2.93972i | 1.34857 | + | 0.121439i | ||||
\(587\) | 6.65439 | + | 5.76606i | 0.274656 | + | 0.237991i | 0.781287 | − | 0.624172i | \(-0.214564\pi\) |
−0.506631 | + | 0.862163i | \(0.669109\pi\) | |||||||
\(588\) | −5.68781 | − | 0.209496i | −0.234561 | − | 0.00863945i | ||||
\(589\) | 13.5622 | − | 6.19365i | 0.558820 | − | 0.255205i | ||||
\(590\) | 4.81870 | − | 12.2272i | 0.198383 | − | 0.503386i | ||||
\(591\) | 24.1006 | + | 7.07656i | 0.991364 | + | 0.291091i | ||||
\(592\) | 4.26630 | + | 2.34195i | 0.175344 | + | 0.0962535i | ||||
\(593\) | −1.20615 | + | 2.64109i | −0.0495304 | + | 0.108457i | −0.932779 | − | 0.360448i | \(-0.882624\pi\) |
0.883249 | + | 0.468904i | \(0.155351\pi\) | |||||||
\(594\) | −2.16475 | − | 4.14402i | −0.0888209 | − | 0.170031i | ||||
\(595\) | 12.2236 | − | 19.0203i | 0.501120 | − | 0.779757i | ||||
\(596\) | 1.68254 | + | 4.07486i | 0.0689194 | + | 0.166913i | ||||
\(597\) | 2.46229i | 0.100775i | ||||||||
\(598\) | −1.93890 | − | 3.56219i | −0.0792874 | − | 0.145669i | ||||
\(599\) | 13.9856 | 0.571437 | 0.285718 | − | 0.958314i | \(-0.407768\pi\) | ||||
0.285718 | + | 0.958314i | \(0.407768\pi\) | |||||||
\(600\) | −9.65372 | − | 5.98567i | −0.394112 | − | 0.244364i | ||||
\(601\) | −35.7279 | − | 22.9609i | −1.45737 | − | 0.936596i | −0.998852 | − | 0.0479123i | \(-0.984743\pi\) |
−0.458521 | − | 0.888684i | \(-0.651620\pi\) | |||||||
\(602\) | −15.4056 | + | 8.04760i | −0.627887 | + | 0.327996i | ||||
\(603\) | 13.6129 | + | 6.21682i | 0.554362 | + | 0.253168i | ||||
\(604\) | −38.4953 | − | 6.98968i | −1.56635 | − | 0.284406i | ||||
\(605\) | 0.0196965 | − | 0.0670800i | 0.000800775 | − | 0.00272719i | ||||
\(606\) | 5.51103 | − | 13.9839i | 0.223870 | − | 0.568059i | ||||
\(607\) | 8.07426 | + | 17.6802i | 0.327724 | + | 0.717616i | 0.999737 | − | 0.0229236i | \(-0.00729743\pi\) |
−0.672013 | + | 0.740539i | \(0.734570\pi\) | |||||||
\(608\) | 4.47588 | + | 16.4955i | 0.181521 | + | 0.668981i | ||||
\(609\) | 7.58745 | − | 8.75639i | 0.307459 | − | 0.354827i | ||||
\(610\) | −0.414216 | + | 4.59985i | −0.0167711 | + | 0.186243i | ||||
\(611\) | 1.80675 | + | 6.15321i | 0.0730931 | + | 0.248932i | ||||
\(612\) | 14.4458 | − | 1.53678i | 0.583937 | − | 0.0621207i | ||||
\(613\) | −4.37714 | − | 6.81096i | −0.176791 | − | 0.275092i | 0.741537 | − | 0.670911i | \(-0.234097\pi\) |
−0.918328 | + | 0.395819i | \(0.870461\pi\) | |||||||
\(614\) | −2.92821 | − | 8.31517i | −0.118173 | − | 0.335573i | ||||
\(615\) | −0.638155 | − | 4.43847i | −0.0257329 | − | 0.178976i | ||||
\(616\) | −3.70531 | + | 29.1059i | −0.149291 | + | 1.17271i | ||||
\(617\) | −0.589184 | + | 4.09787i | −0.0237197 | + | 0.164974i | −0.998238 | − | 0.0593329i | \(-0.981103\pi\) |
0.974519 | + | 0.224307i | \(0.0720117\pi\) | |||||||
\(618\) | −0.669107 | − | 12.6148i | −0.0269154 | − | 0.507440i | ||||
\(619\) | 4.81915 | − | 4.17582i | 0.193698 | − | 0.167840i | −0.552612 | − | 0.833438i | \(-0.686369\pi\) |
0.746310 | + | 0.665598i | \(0.231824\pi\) | |||||||
\(620\) | −9.28564 | − | 3.10207i | −0.372920 | − | 0.124582i | ||||
\(621\) | −4.57784 | + | 1.42946i | −0.183702 | + | 0.0573624i | ||||
\(622\) | 13.9482 | − | 10.0463i | 0.559273 | − | 0.402819i | ||||
\(623\) | −17.5979 | − | 20.3090i | −0.705044 | − | 0.813664i | ||||
\(624\) | 0.830884 | + | 2.24296i | 0.0332620 | + | 0.0897902i | ||||
\(625\) | −1.59500 | + | 11.0935i | −0.0638000 | + | 0.443739i | ||||
\(626\) | 3.65864 | + | 18.4470i | 0.146229 | + | 0.737291i | ||||
\(627\) | 9.88722 | − | 1.42157i | 0.394858 | − | 0.0567720i | ||||
\(628\) | 7.65280 | + | 5.32610i | 0.305380 | + | 0.212534i | ||||
\(629\) | 4.77804 | + | 7.43478i | 0.190513 | + | 0.296444i | ||||
\(630\) | 2.18042 | − | 3.82406i | 0.0868698 | − | 0.152354i | ||||
\(631\) | −21.0884 | + | 6.19210i | −0.839514 | + | 0.246504i | −0.673099 | − | 0.739552i | \(-0.735037\pi\) |
−0.166415 | + | 0.986056i | \(0.553219\pi\) | |||||||
\(632\) | −19.4449 | − | 8.50279i | −0.773476 | − | 0.338223i | ||||
\(633\) | −4.97174 | + | 5.73770i | −0.197609 | + | 0.228053i | ||||
\(634\) | 2.79284 | + | 2.17204i | 0.110918 | + | 0.0862628i | ||||
\(635\) | 9.63525 | − | 4.40027i | 0.382363 | − | 0.174619i | ||||
\(636\) | −5.71527 | − | 22.4969i | −0.226625 | − | 0.892062i | ||||
\(637\) | 0.479437 | − | 1.63281i | 0.0189960 | − | 0.0646944i | ||||
\(638\) | −11.9806 | − | 12.4300i | −0.474316 | − | 0.492108i | ||||
\(639\) | −4.60376 | + | 10.0808i | −0.182122 | + | 0.398791i | ||||
\(640\) | 5.24080 | − | 9.92436i | 0.207161 | − | 0.392295i | ||||
\(641\) | −31.4211 | − | 20.1931i | −1.24106 | − | 0.797580i | −0.255483 | − | 0.966813i | \(-0.582235\pi\) |
−0.985576 | + | 0.169233i | \(0.945871\pi\) | |||||||
\(642\) | −3.81866 | − | 0.904624i | −0.150711 | − | 0.0357026i | ||||
\(643\) | − | 21.7564i | − | 0.857988i | −0.903307 | − | 0.428994i | \(-0.858868\pi\) | ||
0.903307 | − | 0.428994i | \(-0.141132\pi\) | |||||||
\(644\) | 28.7046 | + | 9.04793i | 1.13112 | + | 0.356538i | ||||
\(645\) | − | 3.88545i | − | 0.152990i | ||||||
\(646\) | −7.15463 | + | 30.2017i | −0.281495 | + | 1.18827i | ||||
\(647\) | 24.2523 | + | 15.5860i | 0.953457 | + | 0.612749i | 0.922180 | − | 0.386761i | \(-0.126406\pi\) |
0.0312767 | + | 0.999511i | \(0.490043\pi\) | |||||||
\(648\) | 2.79276 | − | 0.447760i | 0.109710 | − | 0.0175897i | ||||
\(649\) | −12.8657 | + | 28.1721i | −0.505025 | + | 1.10585i | ||||
\(650\) | 2.44524 | − | 2.35684i | 0.0959103 | − | 0.0924427i | ||||
\(651\) | −4.36225 | + | 14.8565i | −0.170970 | + | 0.582271i | ||||
\(652\) | 29.5701 | − | 7.51218i | 1.15805 | − | 0.294200i | ||||
\(653\) | −36.9535 | + | 16.8761i | −1.44610 | + | 0.660414i | −0.975110 | − | 0.221723i | \(-0.928832\pi\) |
−0.470994 | + | 0.882136i | \(0.656105\pi\) | |||||||
\(654\) | 6.04764 | − | 7.77613i | 0.236481 | − | 0.304071i | ||||
\(655\) | −7.57505 | + | 8.74207i | −0.295982 | + | 0.341581i | ||||
\(656\) | −17.6765 | + | 3.80399i | −0.690151 | + | 0.148521i | ||||
\(657\) | −2.31332 | + | 0.679252i | −0.0902512 | + | 0.0265002i | ||||
\(658\) | −41.3419 | − | 23.5725i | −1.61168 | − | 0.918950i | ||||
\(659\) | 3.13472 | + | 4.87773i | 0.122112 | + | 0.190009i | 0.896928 | − | 0.442178i | \(-0.145794\pi\) |
−0.774816 | + | 0.632187i | \(0.782158\pi\) | |||||||
\(660\) | −5.38355 | − | 3.74678i | −0.209554 | − | 0.145843i | ||||
\(661\) | 27.2007 | − | 3.91087i | 1.05798 | − | 0.152115i | 0.408706 | − | 0.912666i | \(-0.365980\pi\) |
0.649278 | + | 0.760551i | \(0.275071\pi\) | |||||||
\(662\) | 7.59495 | − | 1.50632i | 0.295186 | − | 0.0585450i | ||||
\(663\) | −0.618145 | + | 4.29929i | −0.0240068 | + | 0.166971i | ||||
\(664\) | −41.6056 | − | 11.4889i | −1.61461 | − | 0.445854i | ||||
\(665\) | 6.15888 | + | 7.10772i | 0.238831 | + | 0.275626i | ||||
\(666\) | 1.00564 | + | 1.39623i | 0.0389677 | + | 0.0541026i | ||||
\(667\) | −14.7319 | + | 9.82681i | −0.570421 | + | 0.380496i | ||||
\(668\) | −5.36981 | + | 16.0738i | −0.207764 | + | 0.621914i | ||||
\(669\) | −8.51843 | + | 7.38126i | −0.329341 | + | 0.285376i | ||||
\(670\) | 20.9653 | − | 1.11203i | 0.809959 | − | 0.0429616i | ||||
\(671\) | 1.54890 | − | 10.7729i | 0.0597947 | − | 0.415881i | ||||
\(672\) | −15.9905 | − | 7.70532i | −0.616845 | − | 0.297239i | ||||
\(673\) | 5.76586 | + | 40.1025i | 0.222258 | + | 1.54584i | 0.729469 | + | 0.684014i | \(0.239767\pi\) |
−0.507211 | + | 0.861822i | \(0.669324\pi\) | |||||||
\(674\) | −0.326765 | + | 0.115071i | −0.0125865 | + | 0.00443238i | ||||
\(675\) | −2.17118 | − | 3.37843i | −0.0835689 | − | 0.130036i | ||||
\(676\) | 25.1430 | − | 2.67477i | 0.967037 | − | 0.102876i | ||||
\(677\) | 4.83632 | + | 16.4710i | 0.185875 | + | 0.633031i | 0.998721 | + | 0.0505535i | \(0.0160986\pi\) |
−0.812847 | + | 0.582478i | \(0.802083\pi\) | |||||||
\(678\) | −1.74102 | − | 0.156779i | −0.0668635 | − | 0.00602105i | ||||
\(679\) | 21.1227 | − | 24.3769i | 0.810614 | − | 0.935498i | ||||
\(680\) | 16.9645 | − | 11.2943i | 0.650559 | − | 0.433116i | ||||
\(681\) | 6.26610 | + | 13.7208i | 0.240117 | + | 0.525784i | ||||
\(682\) | 21.4641 | + | 8.45894i | 0.821904 | + | 0.323910i | ||||
\(683\) | −13.1729 | + | 44.8627i | −0.504046 | + | 1.71662i | 0.176846 | + | 0.984239i | \(0.443411\pi\) |
−0.680892 | + | 0.732384i | \(0.738408\pi\) | |||||||
\(684\) | −1.07957 | + | 5.94570i | −0.0412786 | + | 0.227340i | ||||
\(685\) | −8.39660 | − | 3.83460i | −0.320818 | − | 0.146513i | ||||
\(686\) | −8.53528 | − | 16.3392i | −0.325879 | − | 0.623834i | ||||
\(687\) | 5.03308 | + | 3.23457i | 0.192024 | + | 0.123406i | ||||
\(688\) | −15.6298 | + | 1.08281i | −0.595879 | + | 0.0412818i | ||||
\(689\) | 6.94000 | 0.264393 | ||||||||
\(690\) | −4.76383 | + | 4.75104i | −0.181356 | + | 0.180869i | ||||
\(691\) | − | 22.4870i | − | 0.855445i | −0.903910 | − | 0.427722i | \(-0.859316\pi\) | ||
0.903910 | − | 0.427722i | \(-0.140684\pi\) | |||||||
\(692\) | 3.16536 | + | 7.66604i | 0.120329 | + | 0.291419i | ||||
\(693\) | −5.60836 | + | 8.72678i | −0.213044 | + | 0.331503i | ||||
\(694\) | 13.7457 | − | 7.18049i | 0.521781 | − | 0.272568i | ||||
\(695\) | −7.71985 | + | 16.9041i | −0.292830 | + | 0.641209i | ||||
\(696\) | 9.42875 | − | 4.49169i | 0.357396 | − | 0.170257i | ||||
\(697\) | −31.5039 | − | 9.25037i | −1.19329 | − | 0.350383i | ||||
\(698\) | 4.03388 | + | 1.58974i | 0.152685 | + | 0.0601725i | ||||
\(699\) | −15.2911 | + | 6.98323i | −0.578364 | + | 0.264130i | ||||
\(700\) | −0.927640 | + | 25.1855i | −0.0350615 | + | 0.951921i | ||||
\(701\) | −12.6039 | − | 10.9213i | −0.476043 | − | 0.412494i | 0.383513 | − | 0.923536i | \(-0.374714\pi\) |
−0.859556 | + | 0.511042i | \(0.829260\pi\) | |||||||
\(702\) | −0.0758455 | + | 0.842260i | −0.00286260 | + | 0.0317891i | ||||
\(703\) | −3.52732 | + | 1.03571i | −0.133035 | + | 0.0390627i | ||||
\(704\) | −13.5716 | + | 22.7002i | −0.511500 | + | 0.855547i | ||||
\(705\) | 8.94976 | − | 5.75166i | 0.337067 | − | 0.216620i | ||||
\(706\) | 0.150754 | − | 0.0530883i | 0.00567369 | − | 0.00199801i | ||||
\(707\) | −33.0101 | + | 4.74614i | −1.24147 | + | 0.178497i | ||||
\(708\) | −13.6987 | − | 12.7825i | −0.514828 | − | 0.480396i | ||||
\(709\) | −14.5026 | − | 2.08516i | −0.544657 | − | 0.0783098i | −0.135506 | − | 0.990777i | \(-0.543266\pi\) |
−0.409151 | + | 0.912467i | \(0.634175\pi\) | |||||||
\(710\) | 0.823496 | + | 15.5255i | 0.0309052 | + | 0.582660i | ||||
\(711\) | −4.91364 | − | 5.67065i | −0.184276 | − | 0.212666i | ||||
\(712\) | −7.19949 | − | 23.1285i | −0.269812 | − | 0.866776i | ||||
\(713\) | 12.4528 | − | 20.1239i | 0.466362 | − | 0.753646i | ||||
\(714\) | −18.8381 | − | 26.1548i | −0.704998 | − | 0.978818i | ||||
\(715\) | 1.48208 | − | 1.28423i | 0.0554268 | − | 0.0480276i | ||||
\(716\) | 7.28956 | + | 9.06648i | 0.272424 | + | 0.338830i | ||||
\(717\) | 11.4770 | + | 1.65015i | 0.428617 | + | 0.0616258i | ||||
\(718\) | 3.42582 | + | 17.2731i | 0.127851 | + | 0.644628i | ||||
\(719\) | 4.90511 | + | 34.1158i | 0.182930 | + | 1.27230i | 0.849790 | + | 0.527121i | \(0.176729\pi\) |
−0.666861 | + | 0.745183i | \(0.732362\pi\) | |||||||
\(720\) | 3.18183 | − | 2.37083i | 0.118580 | − | 0.0883555i | ||||
\(721\) | −23.5791 | + | 15.1534i | −0.878131 | + | 0.564341i | ||||
\(722\) | 12.1266 | + | 6.91441i | 0.451307 | + | 0.257328i | ||||
\(723\) | 7.96474 | + | 27.1254i | 0.296212 | + | 1.00881i | ||||
\(724\) | 8.44641 | − | 4.99876i | 0.313909 | − | 0.185777i | ||||
\(725\) | −11.2069 | − | 9.71086i | −0.416215 | − | 0.360652i | ||||
\(726\) | −0.0786756 | − | 0.0611875i | −0.00291993 | − | 0.00227088i | ||||
\(727\) | 12.7531 | + | 27.9253i | 0.472985 | + | 1.03569i | 0.984333 | + | 0.176319i | \(0.0564191\pi\) |
−0.511348 | + | 0.859374i | \(0.670854\pi\) | |||||||
\(728\) | 3.41007 | − | 4.06652i | 0.126386 | − | 0.150715i | ||||
\(729\) | 0.959493 | + | 0.281733i | 0.0355368 | + | 0.0104345i | ||||
\(730\) | −2.43530 | + | 2.34725i | −0.0901345 | + | 0.0868758i | ||||
\(731\) | −25.8794 | − | 11.8187i | −0.957183 | − | 0.437131i | ||||
\(732\) | 5.88447 | + | 2.95377i | 0.217496 | + | 0.109174i | ||||
\(733\) | −23.3142 | + | 36.2776i | −0.861129 | + | 1.33994i | 0.0782037 | + | 0.996937i | \(0.475082\pi\) |
−0.939333 | + | 0.343006i | \(0.888555\pi\) | |||||||
\(734\) | −5.68917 | − | 1.34774i | −0.209991 | − | 0.0497459i | ||||
\(735\) | −2.82305 | −0.104130 | ||||||||
\(736\) | 20.4393 | + | 17.8391i | 0.753403 | + | 0.657559i | ||||
\(737\) | −49.4751 | −1.82244 | ||||||||
\(738\) | −6.22050 | − | 1.47361i | −0.228980 | − | 0.0542442i | ||||
\(739\) | 25.1375 | − | 39.1148i | 0.924700 | − | 1.43886i | 0.0263138 | − | 0.999654i | \(-0.491623\pi\) |
0.898386 | − | 0.439207i | \(-0.144741\pi\) | |||||||
\(740\) | 2.15739 | + | 1.08293i | 0.0793074 | + | 0.0398092i | ||||
\(741\) | −1.64349 | − | 0.750557i | −0.0603752 | − | 0.0275724i | ||||
\(742\) | −37.0808 | + | 35.7402i | −1.36128 | + | 1.31206i | ||||
\(743\) | 1.65700 | + | 0.486539i | 0.0607894 | + | 0.0178494i | 0.311986 | − | 0.950087i | \(-0.399006\pi\) |
−0.251196 | + | 0.967936i | \(0.580824\pi\) | |||||||
\(744\) | −8.96808 | + | 10.6945i | −0.328786 | + | 0.392078i | ||||
\(745\) | 0.908360 | + | 1.98903i | 0.0332797 | + | 0.0728725i | ||||
\(746\) | 16.8328 | + | 13.0912i | 0.616292 | + | 0.479302i | ||||
\(747\) | −11.5330 | − | 9.99339i | −0.421970 | − | 0.365639i | ||||
\(748\) | −41.3313 | + | 24.4607i | −1.51122 | + | 0.894371i | ||||
\(749\) | 2.45311 | + | 8.35451i | 0.0896345 | + | 0.305267i | ||||
\(750\) | −10.9878 | − | 6.26505i | −0.401217 | − | 0.228767i | ||||
\(751\) | −7.56419 | + | 4.86121i | −0.276021 | + | 0.177388i | −0.671326 | − | 0.741162i | \(-0.734275\pi\) |
0.395305 | + | 0.918550i | \(0.370639\pi\) | |||||||
\(752\) | −25.6310 | − | 34.3987i | −0.934666 | − | 1.25439i | ||||
\(753\) | 0.871967 | + | 6.06466i | 0.0317763 | + | 0.221009i | ||||
\(754\) | 0.607486 | + | 3.06297i | 0.0221233 | + | 0.111547i | ||||
\(755\) | −19.2082 | − | 2.76173i | −0.699060 | − | 0.100510i | ||||
\(756\) | −3.93230 | − | 4.89084i | −0.143016 | − | 0.177878i | ||||
\(757\) | 31.3395 | − | 27.1559i | 1.13905 | − | 0.986997i | 0.139060 | − | 0.990284i | \(-0.455592\pi\) |
0.999995 | + | 0.00328744i | \(0.00104643\pi\) | |||||||
\(758\) | −24.0673 | − | 33.4150i | −0.874165 | − | 1.21369i | ||||
\(759\) | 11.8035 | − | 10.5857i | 0.428438 | − | 0.384237i | ||||
\(760\) | 2.51967 | + | 8.09447i | 0.0913980 | + | 0.293617i | ||||
\(761\) | 2.02003 | + | 2.33123i | 0.0732259 | + | 0.0845072i | 0.791180 | − | 0.611583i | \(-0.209467\pi\) |
−0.717955 | + | 0.696090i | \(0.754921\pi\) | |||||||
\(762\) | −0.799852 | − | 15.0797i | −0.0289756 | − | 0.546280i | ||||
\(763\) | −21.6346 | − | 3.11058i | −0.783224 | − | 0.112611i | ||||
\(764\) | 20.9745 | + | 19.5716i | 0.758829 | + | 0.708077i | ||||
\(765\) | 7.13217 | − | 1.02545i | 0.257864 | − | 0.0370753i | ||||
\(766\) | 18.2207 | − | 6.41646i | 0.658339 | − | 0.231836i | ||||
\(767\) | 4.71264 | − | 3.02863i | 0.170164 | − | 0.109357i | ||||
\(768\) | −10.4237 | − | 12.1386i | −0.376133 | − | 0.438015i | ||||
\(769\) | 48.5247 | − | 14.2481i | 1.74985 | − | 0.513801i | 0.759271 | − | 0.650774i | \(-0.225556\pi\) |
0.990575 | + | 0.136973i | \(0.0437374\pi\) | |||||||
\(770\) | −1.30521 | + | 14.4943i | −0.0470366 | + | 0.522339i | ||||
\(771\) | −5.26581 | − | 4.56285i | −0.189643 | − | 0.164327i | ||||
\(772\) | −0.713382 | + | 19.3683i | −0.0256752 | + | 0.697082i | ||||
\(773\) | 37.3993 | − | 17.0797i | 1.34516 | − | 0.614313i | 0.392893 | − | 0.919584i | \(-0.371474\pi\) |
0.952265 | + | 0.305271i | \(0.0987471\pi\) | |||||||
\(774\) | −5.15345 | − | 2.03096i | −0.185237 | − | 0.0730012i | ||||
\(775\) | 19.0142 | + | 5.58306i | 0.683009 | + | 0.200549i | ||||
\(776\) | 26.2487 | − | 12.5044i | 0.942272 | − | 0.448881i | ||||
\(777\) | 1.58597 | − | 3.47279i | 0.0568963 | − | 0.124585i | ||||
\(778\) | 24.9903 | − | 13.0545i | 0.895947 | − | 0.468025i | ||||
\(779\) | 7.38401 | − | 11.4897i | 0.264560 | − | 0.411663i | ||||
\(780\) | 0.452785 | + | 1.09658i | 0.0162123 | + | 0.0392638i | ||||
\(781\) | − | 36.6379i | − | 1.31101i | ||||||
\(782\) | 17.1542 | + | 46.1815i | 0.613431 | + | 1.65145i | ||||
\(783\) | 3.69250 | 0.131959 | ||||||||
\(784\) | 0.786737 | + | 11.3561i | 0.0280978 | + | 0.405576i | ||||
\(785\) | 3.89043 | + | 2.50023i | 0.138855 | + | 0.0892370i | ||||
\(786\) | 7.63545 | + | 14.6167i | 0.272348 | + | 0.521359i | ||||
\(787\) | −6.18523 | − | 2.82470i | −0.220480 | − | 0.100690i | 0.302113 | − | 0.953272i | \(-0.402308\pi\) |
−0.522593 | + | 0.852582i | \(0.675035\pi\) | |||||||
\(788\) | 8.97473 | − | 49.4279i | 0.319711 | − | 1.76079i | ||||
\(789\) | −6.47135 | + | 22.0394i | −0.230386 | + | 0.784623i | ||||
\(790\) | −9.79331 | − | 3.85951i | −0.348430 | − | 0.137315i | ||||
\(791\) | 1.61121 | + | 3.52805i | 0.0572879 | + | 0.125443i | ||||
\(792\) | −7.78353 | + | 5.18197i | −0.276576 | + | 0.184133i | ||||
\(793\) | −1.28916 | + | 1.48777i | −0.0457794 | + | 0.0528323i | ||||
\(794\) | 25.2131 | + | 2.27044i | 0.894780 | + | 0.0805748i | ||||
\(795\) | −3.24355 | − | 11.0465i | −0.115037 | − | 0.391780i | ||||
\(796\) | 4.89694 | − | 0.520949i | 0.173568 | − | 0.0184646i | ||||
\(797\) | 7.27595 | + | 11.3216i | 0.257727 | + | 0.401031i | 0.945871 | − | 0.324543i | \(-0.105211\pi\) |
−0.688144 | + | 0.725574i | \(0.741574\pi\) | |||||||
\(798\) | 12.6466 | − | 4.45352i | 0.447684 | − | 0.157653i | ||||
\(799\) | −11.0861 | − | 77.1058i | −0.392200 | − | 2.72781i | ||||
\(800\) | −9.86171 | + | 20.4655i | −0.348664 | + | 0.723565i | ||||
\(801\) | 1.21881 | − | 8.47699i | 0.0430644 | − | 0.299520i | ||||
\(802\) | 51.2439 | − | 2.71806i | 1.80948 | − | 0.0959780i | ||||
\(803\) | 6.02383 | − | 5.21968i | 0.212576 | − | 0.184198i | ||||
\(804\) | 9.48377 | − | 28.3884i | 0.334467 | − | 1.00118i | ||||
\(805\) | 14.3929 | + | 3.96067i | 0.507284 | + | 0.139595i | ||||
\(806\) | −2.43886 | − | 3.38612i | −0.0859054 | − | 0.119271i | ||||
\(807\) | −16.8086 | − | 19.3982i | −0.591691 | − | 0.682848i | ||||
\(808\) | −28.9769 | − | 8.00161i | −1.01940 | − | 0.281496i | ||||
\(809\) | 7.23812 | − | 50.3422i | 0.254479 | − | 1.76994i | −0.316130 | − | 0.948716i | \(-0.602384\pi\) |
0.570609 | − | 0.821222i | \(-0.306707\pi\) | |||||||
\(810\) | 1.37609 | − | 0.272923i | 0.0483508 | − | 0.00958954i | ||||
\(811\) | 29.3617 | − | 4.22157i | 1.03103 | − | 0.148239i | 0.394024 | − | 0.919100i | \(-0.371083\pi\) |
0.637004 | + | 0.770861i | \(0.280174\pi\) | |||||||
\(812\) | −19.0198 | − | 13.2372i | −0.667464 | − | 0.464533i | ||||
\(813\) | −9.81773 | − | 15.2767i | −0.344323 | − | 0.535777i | ||||
\(814\) | −4.94169 | − | 2.81767i | −0.173206 | − | 0.0987593i | ||||
\(815\) | 14.5196 | − | 4.26334i | 0.508600 | − | 0.149338i | ||||
\(816\) | −6.11263 | − | 28.4044i | −0.213985 | − | 0.994351i | ||||
\(817\) | 7.74994 | − | 8.94390i | 0.271136 | − | 0.312908i | ||||
\(818\) | −20.5638 | + | 26.4411i | −0.718995 | + | 0.924492i | ||||
\(819\) | 1.70678 | − | 0.779459i | 0.0596396 | − | 0.0272365i | ||||
\(820\) | −8.69211 | + | 2.20820i | −0.303542 | + | 0.0771137i | ||||
\(821\) | 5.73839 | − | 19.5432i | 0.200271 | − | 0.682061i | −0.796706 | − | 0.604367i | \(-0.793426\pi\) |
0.996977 | − | 0.0776941i | \(-0.0247558\pi\) | |||||||
\(822\) | −9.47496 | + | 9.13240i | −0.330477 | + | 0.318529i | ||||
\(823\) | −13.3633 | + | 29.2616i | −0.465816 | + | 1.02000i | 0.520307 | + | 0.853979i | \(0.325818\pi\) |
−0.986123 | + | 0.166016i | \(0.946910\pi\) | |||||||
\(824\) | −24.9464 | + | 3.99963i | −0.869049 | + | 0.139334i | ||||
\(825\) | 11.1690 | + | 7.17790i | 0.388856 | + | 0.249902i | ||||
\(826\) | −9.58283 | + | 40.4517i | −0.333429 | + | 1.40750i | ||||
\(827\) | 17.3311i | 0.602661i | 0.953520 | + | 0.301330i | \(0.0974307\pi\) | ||||
−0.953520 | + | 0.301330i | \(0.902569\pi\) | |||||||
\(828\) | 3.81143 | + | 8.80188i | 0.132456 | + | 0.305886i | ||||
\(829\) | − | 44.1121i | − | 1.53208i | −0.642796 | − | 0.766038i | \(-0.722226\pi\) | ||
0.642796 | − | 0.766038i | \(-0.277774\pi\) | |||||||
\(830\) | −20.8320 | − | 4.93501i | −0.723091 | − | 0.171297i | ||||
\(831\) | −17.4130 | − | 11.1907i | −0.604050 | − | 0.388199i | ||||
\(832\) | 4.28496 | − | 2.12699i | 0.148554 | − | 0.0737401i | ||||
\(833\) | −8.58711 | + | 18.8032i | −0.297526 | + | 0.651491i | ||||
\(834\) | 18.3854 | + | 19.0751i | 0.636635 | + | 0.660515i | ||||
\(835\) | −2.36816 | + | 8.06520i | −0.0819534 | + | 0.279108i | ||||
\(836\) | −4.91904 | − | 19.3627i | −0.170128 | − | 0.669674i | ||||
\(837\) | −4.48862 | + | 2.04989i | −0.155149 | + | 0.0708544i | ||||
\(838\) | 25.4117 | + | 19.7631i | 0.877832 | + | 0.682707i | ||||
\(839\) | −0.932378 | + | 1.07602i | −0.0321893 | + | 0.0371484i | −0.771616 | − | 0.636089i | \(-0.780551\pi\) |
0.739427 | + | 0.673237i | \(0.235097\pi\) | |||||||
\(840\) | −8.06652 | − | 3.52730i | −0.278322 | − | 0.121703i | ||||
\(841\) | −14.7430 | + | 4.32894i | −0.508380 | + | 0.149274i | ||||
\(842\) | 16.1028 | − | 28.2415i | 0.554940 | − | 0.973267i | ||||
\(843\) | −12.9396 | − | 20.1344i | −0.445663 | − | 0.693466i | ||||
\(844\) | 12.4629 | + | 8.67376i | 0.428990 | + | 0.298563i | ||||
\(845\) | 12.4136 | − | 1.78480i | 0.427040 | − | 0.0613990i | ||||
\(846\) | −2.95057 | − | 14.8769i | −0.101443 | − | 0.511478i | ||||
\(847\) | −0.0314716 | + | 0.218889i | −0.00108138 | + | 0.00752113i | ||||
\(848\) | −43.5322 | + | 16.1261i | −1.49490 | + | 0.553773i | ||||
\(849\) | 19.0770 | + | 22.0160i | 0.654720 | + | 0.755587i | ||||
\(850\) | −33.4744 | + | 24.1101i | −1.14816 | + | 0.826969i | ||||
\(851\) | −3.74539 | + | 4.47445i | −0.128390 | + | 0.153382i | ||||
\(852\) | 21.0225 | + | 7.02304i | 0.720220 | + | 0.240605i | ||||
\(853\) | 23.3113 | − | 20.1994i | 0.798164 | − | 0.691613i | −0.157030 | − | 0.987594i | \(-0.550192\pi\) |
0.955194 | + | 0.295981i | \(0.0956464\pi\) | |||||||
\(854\) | −0.773787 | − | 14.5883i | −0.0264784 | − | 0.499201i | ||||
\(855\) | −0.426556 | + | 2.96677i | −0.0145879 | + | 0.101461i | ||||
\(856\) | −0.991176 | + | 7.78586i | −0.0338777 | + | 0.266115i | ||||
\(857\) | 1.43809 | + | 10.0021i | 0.0491242 | + | 0.341666i | 0.999530 | + | 0.0306540i | \(0.00975900\pi\) |
−0.950406 | + | 0.311012i | \(0.899332\pi\) | |||||||
\(858\) | −0.928637 | − | 2.63703i | −0.0317032 | − | 0.0900267i | ||||
\(859\) | 17.3309 | + | 26.9674i | 0.591322 | + | 0.920115i | 0.999972 | + | 0.00742425i | \(0.00236323\pi\) |
−0.408650 | + | 0.912691i | \(0.634000\pi\) | |||||||
\(860\) | −7.72731 | + | 0.822051i | −0.263499 | + | 0.0280317i | ||||
\(861\) | 3.99604 | + | 13.6093i | 0.136185 | + | 0.463802i | ||||
\(862\) | −4.52670 | + | 50.2688i | −0.154180 | + | 1.71216i | ||||
\(863\) | −34.4696 | + | 39.7800i | −1.17336 | + | 1.35413i | −0.250907 | + | 0.968011i | \(0.580729\pi\) |
−0.922450 | + | 0.386116i | \(0.873817\pi\) | |||||||
\(864\) | −1.48136 | − | 5.45945i | −0.0503970 | − | 0.185734i | ||||
\(865\) | 1.70890 | + | 3.74197i | 0.0581044 | + | 0.127231i | ||||
\(866\) | 5.08868 | − | 12.9123i | 0.172921 | − | 0.438777i | ||||
\(867\) | 10.0750 | − | 34.3122i | 0.342164 | − | 1.16530i | ||||
\(868\) | 30.4691 | + | 5.53235i | 1.03419 | + | 0.187780i | ||||
\(869\) | 22.5643 | + | 10.3048i | 0.765440 | + | 0.349565i | ||||
\(870\) | 4.59146 | − | 2.39849i | 0.155665 | − | 0.0813164i | ||||
\(871\) | 7.52832 | + | 4.83816i | 0.255087 | + | 0.163935i | ||||
\(872\) | −16.7445 | − | 10.3822i | −0.567040 | − | 0.351586i | ||||
\(873\) | 10.2795 | 0.347910 | ||||||||
\(874\) | −20.4423 | + | 1.43446i | −0.691470 | + | 0.0485212i | ||||
\(875\) | 28.0638i | 0.948731i | ||||||||
\(876\) | 1.84031 | + | 4.45697i | 0.0621784 | + | 0.150587i | ||||
\(877\) | 2.49038 | − | 3.87510i | 0.0840940 | − | 0.130853i | −0.796658 | − | 0.604430i | \(-0.793401\pi\) |
0.880753 | + | 0.473577i | \(0.157037\pi\) | |||||||
\(878\) | −5.55975 | − | 10.6431i | −0.187632 | − | 0.359188i | ||||
\(879\) | 9.62815 | − | 21.0827i | 0.324750 | − | 0.711102i | ||||
\(880\) | −6.31250 | + | 11.4994i | −0.212794 | + | 0.387645i | ||||
\(881\) | 1.73537 | + | 0.509549i | 0.0584660 | + | 0.0171672i | 0.310835 | − | 0.950464i | \(-0.399391\pi\) |
−0.252369 | + | 0.967631i | \(0.581210\pi\) | |||||||
\(882\) | −1.47563 | + | 3.74434i | −0.0496871 | + | 0.126078i | ||||
\(883\) | 26.3776 | − | 12.0462i | 0.887675 | − | 0.405388i | 0.0812293 | − | 0.996695i | \(-0.474115\pi\) |
0.806446 | + | 0.591308i | \(0.201388\pi\) | |||||||
\(884\) | 8.68112 | + | 0.319746i | 0.291978 | + | 0.0107542i | ||||
\(885\) | −7.02327 | − | 6.08570i | −0.236085 | − | 0.204569i | ||||
\(886\) | −27.5686 | − | 2.48255i | −0.926187 | − | 0.0834030i | ||||
\(887\) | −6.25988 | + | 1.83807i | −0.210186 | + | 0.0617162i | −0.385131 | − | 0.922862i | \(-0.625844\pi\) |
0.174945 | + | 0.984578i | \(0.444025\pi\) | |||||||
\(888\) | 2.56402 | − | 2.29539i | 0.0860428 | − | 0.0770283i | ||||
\(889\) | −28.1865 | + | 18.1144i | −0.945345 | + | 0.607536i | ||||
\(890\) | −3.99075 | − | 11.3325i | −0.133770 | − | 0.379865i | ||||
\(891\) | −3.27233 | + | 0.470490i | −0.109627 | + | 0.0157620i | ||||
\(892\) | 16.4819 | + | 15.3796i | 0.551856 | + | 0.514947i | ||||
\(893\) | 32.0737 | + | 4.61150i | 1.07330 | + | 0.154318i | ||||
\(894\) | 3.11294 | − | 0.165116i | 0.104112 | − | 0.00552229i | ||||
\(895\) | 3.77867 | + | 4.36082i | 0.126307 | + | 0.145766i | ||||
\(896\) | −11.9410 | + | 33.4317i | −0.398922 | + | 1.11687i | ||||
\(897\) | −2.83123 | + | 0.456508i | −0.0945321 | + | 0.0152423i | ||||
\(898\) | −2.70677 | + | 1.94956i | −0.0903261 | + | 0.0650578i | ||||
\(899\) | −13.7704 | + | 11.9321i | −0.459268 | + | 0.397958i | ||||
\(900\) | −6.25958 | + | 5.03278i | −0.208653 | + | 0.167759i | ||||
\(901\) | −83.4424 | − | 11.9972i | −2.77987 | − | 0.399685i | ||||
\(902\) | 20.7302 | − | 4.11148i | 0.690241 | − | 0.136897i | ||||
\(903\) | 1.74908 | + | 12.1651i | 0.0582056 | + | 0.404829i | ||||
\(904\) | 0.0565517 | + | 3.49567i | 0.00188088 | + | 0.116264i | ||||
\(905\) | 4.09530 | − | 2.63189i | 0.136132 | − | 0.0874870i | ||||
\(906\) | −13.7033 | + | 24.0331i | −0.455261 | + | 0.798448i | ||||
\(907\) | −3.79301 | − | 12.9178i | −0.125945 | − | 0.428929i | 0.872245 | − | 0.489069i | \(-0.162663\pi\) |
−0.998190 | + | 0.0601402i | \(0.980845\pi\) | |||||||
\(908\) | 25.9620 | − | 15.3648i | 0.861579 | − | 0.509899i | ||||
\(909\) | −8.03234 | − | 6.96007i | −0.266416 | − | 0.230851i | ||||
\(910\) | 1.61600 | − | 2.07787i | 0.0535699 | − | 0.0688808i | ||||
\(911\) | 9.66975 | + | 21.1738i | 0.320373 | + | 0.701519i | 0.999471 | − | 0.0325287i | \(-0.0103560\pi\) |
−0.679098 | + | 0.734048i | \(0.737629\pi\) | |||||||
\(912\) | 12.0531 | + | 0.889094i | 0.399118 | + | 0.0294409i | ||||
\(913\) | 48.4068 | + | 14.2135i | 1.60203 | + | 0.470399i | ||||
\(914\) | 11.9082 | + | 12.3549i | 0.393888 | + | 0.408663i | ||||
\(915\) | 2.97063 | + | 1.35664i | 0.0982060 | + | 0.0448492i | ||||
\(916\) | 5.36798 | − | 10.6940i | 0.177363 | − | 0.353341i | ||||
\(917\) | 19.7816 | − | 30.7808i | 0.653247 | − | 1.01647i | ||||
\(918\) | 2.36794 | − | 9.99571i | 0.0781536 | − | 0.329908i | ||||
\(919\) | 14.1504 | 0.466778 | 0.233389 | − | 0.972383i | \(-0.425018\pi\) | ||||
0.233389 | + | 0.972383i | \(0.425018\pi\) | |||||||
\(920\) | 10.4567 | + | 8.46901i | 0.344746 | + | 0.279215i | ||||
\(921\) | −6.23364 | −0.205405 | ||||||||
\(922\) | 8.72602 | − | 36.8349i | 0.287376 | − | 1.21309i | ||||
\(923\) | −3.58281 | + | 5.57496i | −0.117930 | + | 0.183502i | ||||
\(924\) | 18.5422 | + | 9.30744i | 0.609993 | + | 0.306192i | ||||
\(925\) | −4.44467 | − | 2.02981i | −0.146140 | − | 0.0667398i | ||||
\(926\) | −6.15176 | − | 6.38251i | −0.202159 | − | 0.209742i | ||||
\(927\) | −8.57069 | − | 2.51658i | −0.281498 | − | 0.0826554i | ||||
\(928\) | −10.9278 | − | 17.8014i | −0.358723 | − | 0.584359i | ||||
\(929\) | 6.45263 | + | 14.1293i | 0.211704 | + | 0.463567i | 0.985458 | − | 0.169919i | \(-0.0543507\pi\) |
−0.773754 | + | 0.633486i | \(0.781623\pi\) | |||||||
\(930\) | −4.24989 | + | 5.46456i | −0.139359 | + | 0.179190i | ||||
\(931\) | −6.49837 | − | 5.63087i | −0.212975 | − | 0.184544i | ||||
\(932\) | 17.1233 | + | 28.9332i | 0.560891 | + | 0.947739i | ||||
\(933\) | −3.42442 | − | 11.6625i | −0.112110 | − | 0.381813i | ||||
\(934\) | −14.6003 | + | 25.6063i | −0.477736 | + | 0.837864i | ||||
\(935\) | −20.0398 | + | 12.8788i | −0.655370 | + | 0.421181i | ||||
\(936\) | 1.69111 | − | 0.0273583i | 0.0552758 | − | 0.000894233i | ||||
\(937\) | 4.25298 | + | 29.5801i | 0.138939 | + | 0.966340i | 0.933352 | + | 0.358963i | \(0.116869\pi\) |
−0.794413 | + | 0.607378i | \(0.792221\pi\) | |||||||
\(938\) | −65.1403 | + | 12.9194i | −2.12690 | + | 0.421834i | ||||
\(939\) | 13.1627 | + | 1.89251i | 0.429549 | + | 0.0617598i | ||||
\(940\) | −13.3323 | − | 16.5822i | −0.434851 | − | 0.540852i | ||||
\(941\) | −3.48764 | + | 3.02206i | −0.113694 | + | 0.0985162i | −0.709852 | − | 0.704350i | \(-0.751238\pi\) |
0.596159 | + | 0.802867i | \(0.296693\pi\) | |||||||
\(942\) | 5.34972 | − | 3.85316i | 0.174303 | − | 0.125543i | ||||
\(943\) | −0.369911 | − | 21.6754i | −0.0120460 | − | 0.705848i | ||||
\(944\) | −22.5233 | + | 29.9481i | −0.733071 | + | 0.974726i | ||||
\(945\) | −2.03838 | − | 2.35241i | −0.0663084 | − | 0.0765240i | ||||
\(946\) | 18.2868 | − | 0.969962i | 0.594555 | − | 0.0315362i | ||||
\(947\) | −9.08491 | − | 1.30621i | −0.295220 | − | 0.0424462i | −0.00688645 | − | 0.999976i | \(-0.502192\pi\) |
−0.288333 | + | 0.957530i | \(0.593101\pi\) | |||||||
\(948\) | −10.2381 | + | 10.9719i | −0.332517 | + | 0.356350i | ||||
\(949\) | −1.42704 | + | 0.205177i | −0.0463236 | + | 0.00666033i | ||||
\(950\) | −5.69987 | − | 16.1858i | −0.184928 | − | 0.525137i | ||||
\(951\) | 2.10462 | − | 1.35256i | 0.0682470 | − | 0.0438597i | ||||
\(952\) | −48.0305 | + | 42.9984i | −1.55668 | + | 1.39359i | ||||
\(953\) | −14.7783 | + | 4.33930i | −0.478717 | + | 0.140564i | −0.512184 | − | 0.858876i | \(-0.671163\pi\) |
0.0334671 | + | 0.999440i | \(0.489345\pi\) | |||||||
\(954\) | −16.3469 | − | 1.47204i | −0.529251 | − | 0.0476590i | ||||
\(955\) | 10.7535 | + | 9.31799i | 0.347976 | + | 0.301523i | ||||
\(956\) | 0.853567 | − | 23.1744i | 0.0276063 | − | 0.749513i | ||||
\(957\) | −11.1042 | + | 5.07112i | −0.358948 | + | 0.163926i | ||||
\(958\) | 8.15660 | − | 20.6969i | 0.263528 | − | 0.668688i | ||||
\(959\) | 28.0154 | + | 8.22606i | 0.904664 | + | 0.265633i | ||||
\(960\) | −5.38823 | − | 5.82636i | −0.173904 | − | 0.188045i | ||||
\(961\) | −2.76261 | + | 6.04927i | −0.0891164 | + | 0.195138i | ||||
\(962\) | 0.476408 | + | 0.911994i | 0.0153600 | + | 0.0294039i | ||||
\(963\) | −1.50024 | + | 2.33442i | −0.0483447 | + | 0.0752258i | ||||
\(964\) | 52.2613 | − | 21.5791i | 1.68322 | − | 0.695015i | ||||
\(965\) | 9.61316i | 0.309459i | ||||||||
\(966\) | 12.7765 | − | 17.0197i | 0.411077 | − | 0.547599i | ||||
\(967\) | −54.2137 | −1.74339 | −0.871697 | − | 0.490045i | \(-0.836980\pi\) | ||||
−0.871697 | + | 0.490045i | \(0.836980\pi\) | |||||||
\(968\) | −0.105043 | + | 0.169414i | −0.00337620 | + | 0.00544517i | ||||
\(969\) | 18.4629 | + | 11.8654i | 0.593113 | + | 0.381170i | ||||
\(970\) | 12.7822 | − | 6.67715i | 0.410411 | − | 0.214390i | ||||
\(971\) | 40.1244 | + | 18.3242i | 1.28765 | + | 0.588052i | 0.937286 | − | 0.348561i | \(-0.113330\pi\) |
0.350367 | + | 0.936612i | \(0.386057\pi\) | |||||||
\(972\) | 0.357302 | − | 1.96782i | 0.0114605 | − | 0.0631180i | ||||
\(973\) | 16.5608 | − | 56.4008i | 0.530914 | − | 1.80813i | ||||
\(974\) | −12.5020 | + | 31.7231i | −0.400589 | + | 1.01647i | ||||
\(975\) | −0.997597 | − | 2.18443i | −0.0319487 | − | 0.0699578i | ||||
\(976\) | 4.62941 | − | 12.3278i | 0.148184 | − | 0.394604i | ||||
\(977\) | 30.1500 | − | 34.7949i | 0.964583 | − | 1.11319i | −0.0289427 | − | 0.999581i | \(-0.509214\pi\) |
0.993526 | − | 0.113607i | \(-0.0362405\pi\) | |||||||
\(978\) | 1.93485 | − | 21.4865i | 0.0618698 | − | 0.687061i | ||||
\(979\) | 7.97668 | + | 27.1661i | 0.254936 | + | 0.868232i | ||||
\(980\) | 0.597277 | + | 5.61443i | 0.0190793 | + | 0.179346i | ||||
\(981\) | −3.76595 | − | 5.85993i | −0.120237 | − | 0.187093i | ||||
\(982\) | −4.03220 | − | 11.4501i | −0.128673 | − | 0.365389i | ||||
\(983\) | −7.21980 | − | 50.2148i | −0.230276 | − | 1.60160i | −0.696914 | − | 0.717155i | \(-0.745444\pi\) |
0.466638 | − | 0.884448i | \(-0.345465\pi\) | |||||||
\(984\) | −1.61460 | + | 12.6830i | −0.0514715 | + | 0.404318i | ||||
\(985\) | 3.54605 | − | 24.6633i | 0.112987 | − | 0.785839i | ||||
\(986\) | −2.00908 | − | 37.8775i | −0.0639822 | − | 1.20626i | ||||
\(987\) | −25.4319 | + | 22.0369i | −0.809507 | + | 0.701442i | ||||
\(988\) | −1.14498 | + | 3.42734i | −0.0364266 | + | 0.109038i | ||||
\(989\) | 2.35564 | − | 18.6361i | 0.0749050 | − | 0.592592i | ||||
\(990\) | −3.76339 | + | 2.71060i | −0.119608 | + | 0.0861485i | ||||
\(991\) | −15.0967 | − | 17.4225i | −0.479562 | − | 0.553444i | 0.463484 | − | 0.886105i | \(-0.346599\pi\) |
−0.943047 | + | 0.332661i | \(0.892054\pi\) | |||||||
\(992\) | 23.1663 | + | 15.5729i | 0.735531 | + | 0.494439i | ||||
\(993\) | 0.779180 | − | 5.41932i | 0.0247265 | − | 0.171977i | ||||
\(994\) | −9.56725 | − | 48.2384i | −0.303455 | − | 1.53003i | ||||
\(995\) | 2.41771 | − | 0.347615i | 0.0766467 | − | 0.0110201i | ||||
\(996\) | −17.4346 | + | 25.0509i | −0.552436 | + | 0.793767i | ||||
\(997\) | 4.85658 | + | 7.55698i | 0.153809 | + | 0.239332i | 0.909604 | − | 0.415477i | \(-0.136385\pi\) |
−0.755794 | + | 0.654809i | \(0.772749\pi\) | |||||||
\(998\) | −26.8270 | + | 47.0499i | −0.849195 | + | 1.48934i | ||||
\(999\) | 1.16742 | − | 0.342786i | 0.0369356 | − | 0.0108453i |
(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 | 552.2.bb.a.13.3 | ✓ | 480 | |
8.5 | even | 2 | inner | 552.2.bb.a.13.24 | yes | 480 | |
23.16 | even | 11 | inner | 552.2.bb.a.85.24 | yes | 480 | |
184.85 | even | 22 | inner | 552.2.bb.a.85.3 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.bb.a.13.3 | ✓ | 480 | 1.1 | even | 1 | trivial | |
552.2.bb.a.13.24 | yes | 480 | 8.5 | even | 2 | inner | |
552.2.bb.a.85.3 | yes | 480 | 184.85 | even | 22 | inner | |
552.2.bb.a.85.24 | yes | 480 | 23.16 | even | 11 | inner |