Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(11,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.u (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 83.9 | ||
Character | \(\chi\) | \(=\) | 144.83 |
Dual form | 144.2.u.a.59.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.639562 | + | 1.26133i | −0.452239 | + | 0.891897i | ||||
\(3\) | −1.65787 | + | 0.501476i | −0.957170 | + | 0.289527i | ||||
\(4\) | −1.18192 | − | 1.61340i | −0.590960 | − | 0.806701i | ||||
\(5\) | 0.997280 | − | 3.72190i | 0.445997 | − | 1.66448i | −0.267292 | − | 0.963616i | \(-0.586129\pi\) |
0.713290 | − | 0.700869i | \(-0.247204\pi\) | |||||||
\(6\) | 0.427781 | − | 2.41185i | 0.174641 | − | 0.984632i | ||||
\(7\) | −0.481387 | + | 0.833787i | −0.181947 | + | 0.315142i | −0.942544 | − | 0.334083i | \(-0.891573\pi\) |
0.760596 | + | 0.649225i | \(0.224907\pi\) | |||||||
\(8\) | 2.79095 | − | 0.458925i | 0.986749 | − | 0.162255i | ||||
\(9\) | 2.49704 | − | 1.66276i | 0.832348 | − | 0.554253i | ||||
\(10\) | 4.05673 | + | 3.63829i | 1.28285 | + | 1.15053i | ||||
\(11\) | −1.00684 | − | 3.75758i | −0.303574 | − | 1.13295i | −0.934166 | − | 0.356839i | \(-0.883855\pi\) |
0.630592 | − | 0.776114i | \(-0.282812\pi\) | |||||||
\(12\) | 2.76855 | + | 2.08210i | 0.799211 | + | 0.601050i | ||||
\(13\) | −0.430868 | + | 1.60802i | −0.119501 | + | 0.445985i | −0.999584 | − | 0.0288351i | \(-0.990820\pi\) |
0.880083 | + | 0.474820i | \(0.157487\pi\) | |||||||
\(14\) | −0.743806 | − | 1.14045i | −0.198791 | − | 0.304798i | ||||
\(15\) | 0.213084 | + | 6.67053i | 0.0550181 | + | 1.72232i | ||||
\(16\) | −1.20613 | + | 3.81382i | −0.301532 | + | 0.953456i | ||||
\(17\) | − | 2.58216i | − | 0.626265i | −0.949709 | − | 0.313133i | \(-0.898622\pi\) | ||
0.949709 | − | 0.313133i | \(-0.101378\pi\) | |||||||
\(18\) | 0.500278 | + | 4.21304i | 0.117917 | + | 0.993024i | ||||
\(19\) | 4.02190 | − | 4.02190i | 0.922686 | − | 0.922686i | −0.0745325 | − | 0.997219i | \(-0.523746\pi\) |
0.997219 | + | 0.0745325i | \(0.0237465\pi\) | |||||||
\(20\) | −7.18363 | + | 2.78998i | −1.60631 | + | 0.623858i | ||||
\(21\) | 0.379952 | − | 1.62371i | 0.0829123 | − | 0.354323i | ||||
\(22\) | 5.38350 | + | 1.13324i | 1.14777 | + | 0.241609i | ||||
\(23\) | 0.600513 | − | 0.346706i | 0.125216 | − | 0.0722933i | −0.436084 | − | 0.899906i | \(-0.643635\pi\) |
0.561300 | + | 0.827613i | \(0.310302\pi\) | |||||||
\(24\) | −4.39688 | + | 2.16043i | −0.897509 | + | 0.440996i | ||||
\(25\) | −8.52786 | − | 4.92356i | −1.70557 | − | 0.984712i | ||||
\(26\) | −1.75268 | − | 1.57190i | −0.343730 | − | 0.308275i | ||||
\(27\) | −3.30593 | + | 4.00884i | −0.636227 | + | 0.771502i | ||||
\(28\) | 1.91419 | − | 0.208800i | 0.361749 | − | 0.0394594i | ||||
\(29\) | −1.54233 | − | 5.75605i | −0.286403 | − | 1.06887i | −0.947808 | − | 0.318842i | \(-0.896706\pi\) |
0.661405 | − | 0.750029i | \(-0.269961\pi\) | |||||||
\(30\) | −8.55004 | − | 3.99745i | −1.56102 | − | 0.729831i | ||||
\(31\) | −3.07839 | + | 1.77731i | −0.552894 | + | 0.319214i | −0.750289 | − | 0.661110i | \(-0.770085\pi\) |
0.197394 | + | 0.980324i | \(0.436752\pi\) | |||||||
\(32\) | −4.03911 | − | 3.96050i | −0.714020 | − | 0.700125i | ||||
\(33\) | 3.55354 | + | 5.72466i | 0.618592 | + | 0.996536i | ||||
\(34\) | 3.25696 | + | 1.65145i | 0.558564 | + | 0.283221i | ||||
\(35\) | 2.62320 | + | 2.62320i | 0.443401 | + | 0.443401i | ||||
\(36\) | −5.63401 | − | 2.06349i | −0.939001 | − | 0.343914i | ||||
\(37\) | −2.11774 | + | 2.11774i | −0.348154 | + | 0.348154i | −0.859422 | − | 0.511267i | \(-0.829176\pi\) |
0.511267 | + | 0.859422i | \(0.329176\pi\) | |||||||
\(38\) | 2.50070 | + | 7.64520i | 0.405667 | + | 1.24022i | ||||
\(39\) | −0.0920616 | − | 2.88196i | −0.0147417 | − | 0.461482i | ||||
\(40\) | 1.07528 | − | 10.8453i | 0.170017 | − | 1.71479i | ||||
\(41\) | 4.97738 | + | 8.62108i | 0.777337 | + | 1.34639i | 0.933472 | + | 0.358651i | \(0.116763\pi\) |
−0.156135 | + | 0.987736i | \(0.549904\pi\) | |||||||
\(42\) | 1.80504 | + | 1.51771i | 0.278523 | + | 0.234188i | ||||
\(43\) | 6.65259 | − | 1.78256i | 1.01451 | − | 0.271837i | 0.286997 | − | 0.957931i | \(-0.407343\pi\) |
0.727513 | + | 0.686094i | \(0.240676\pi\) | |||||||
\(44\) | −4.87248 | + | 6.06560i | −0.734554 | + | 0.914424i | ||||
\(45\) | −3.69837 | − | 10.9520i | −0.551321 | − | 1.63263i | ||||
\(46\) | 0.0532467 | + | 0.979187i | 0.00785080 | + | 0.144373i | ||||
\(47\) | −2.88971 | + | 5.00512i | −0.421507 | + | 0.730072i | −0.996087 | − | 0.0883767i | \(-0.971832\pi\) |
0.574580 | + | 0.818448i | \(0.305165\pi\) | |||||||
\(48\) | 0.0870579 | − | 6.92766i | 0.0125657 | − | 0.999921i | ||||
\(49\) | 3.03653 | + | 5.25943i | 0.433790 | + | 0.751347i | ||||
\(50\) | 11.6643 | − | 7.60754i | 1.64959 | − | 1.07587i | ||||
\(51\) | 1.29489 | + | 4.28087i | 0.181321 | + | 0.599442i | ||||
\(52\) | 3.10364 | − | 1.20539i | 0.430397 | − | 0.167158i | ||||
\(53\) | 6.68090 | + | 6.68090i | 0.917692 | + | 0.917692i | 0.996861 | − | 0.0791696i | \(-0.0252269\pi\) |
−0.0791696 | + | 0.996861i | \(0.525227\pi\) | |||||||
\(54\) | −2.94213 | − | 6.73379i | −0.400373 | − | 0.916352i | ||||
\(55\) | −14.9894 | −2.02118 | ||||||||
\(56\) | −0.960881 | + | 2.54798i | −0.128403 | + | 0.340488i | ||||
\(57\) | −4.65088 | + | 8.68465i | −0.616025 | + | 1.15031i | ||||
\(58\) | 8.24671 | + | 1.73596i | 1.08285 | + | 0.227943i | ||||
\(59\) | −8.75083 | − | 2.34478i | −1.13926 | − | 0.305264i | −0.360607 | − | 0.932718i | \(-0.617430\pi\) |
−0.778654 | + | 0.627454i | \(0.784097\pi\) | |||||||
\(60\) | 10.5104 | − | 8.22783i | 1.35689 | − | 1.06221i | ||||
\(61\) | −2.12855 | + | 0.570345i | −0.272534 | + | 0.0730251i | −0.392497 | − | 0.919753i | \(-0.628389\pi\) |
0.119964 | + | 0.992778i | \(0.461722\pi\) | |||||||
\(62\) | −0.272957 | − | 5.01957i | −0.0346655 | − | 0.637486i | ||||
\(63\) | 0.184342 | + | 2.88243i | 0.0232249 | + | 0.363153i | ||||
\(64\) | 7.57878 | − | 2.56167i | 0.947347 | − | 0.320209i | ||||
\(65\) | 5.55520 | + | 3.20730i | 0.689038 | + | 0.397816i | ||||
\(66\) | −9.49341 | + | 0.820923i | −1.16856 | + | 0.101049i | ||||
\(67\) | 4.20548 | + | 1.12686i | 0.513782 | + | 0.137667i | 0.506389 | − | 0.862305i | \(-0.330980\pi\) |
0.00739290 | + | 0.999973i | \(0.497647\pi\) | |||||||
\(68\) | −4.16606 | + | 3.05191i | −0.505208 | + | 0.370098i | ||||
\(69\) | −0.821706 | + | 0.875935i | −0.0989217 | + | 0.105450i | ||||
\(70\) | −4.98642 | + | 1.63103i | −0.595991 | + | 0.194945i | ||||
\(71\) | − | 9.40024i | − | 1.11560i | −0.829974 | − | 0.557801i | \(-0.811645\pi\) | ||
0.829974 | − | 0.557801i | \(-0.188355\pi\) | |||||||
\(72\) | 6.20604 | − | 5.78663i | 0.731389 | − | 0.681961i | ||||
\(73\) | − | 3.77840i | − | 0.442228i | −0.975248 | − | 0.221114i | \(-0.929031\pi\) | ||
0.975248 | − | 0.221114i | \(-0.0709693\pi\) | |||||||
\(74\) | −1.31675 | − | 4.02560i | −0.153069 | − | 0.467967i | ||||
\(75\) | 16.6071 | + | 3.88610i | 1.91762 | + | 0.448728i | ||||
\(76\) | −11.2425 | − | 1.73537i | −1.28960 | − | 0.199060i | ||||
\(77\) | 3.61770 | + | 0.969360i | 0.412275 | + | 0.110469i | ||||
\(78\) | 3.69398 | + | 1.72707i | 0.418261 | + | 0.195552i | ||||
\(79\) | 9.52430 | + | 5.49886i | 1.07157 | + | 0.618670i | 0.928609 | − | 0.371059i | \(-0.121005\pi\) |
0.142958 | + | 0.989729i | \(0.454339\pi\) | |||||||
\(80\) | 12.9918 | + | 8.29254i | 1.45253 | + | 0.927134i | ||||
\(81\) | 3.47046 | − | 8.30397i | 0.385607 | − | 0.922663i | ||||
\(82\) | −14.0574 | + | 0.764420i | −1.55238 | + | 0.0844161i | ||||
\(83\) | 8.79083 | − | 2.35550i | 0.964919 | − | 0.258549i | 0.258238 | − | 0.966081i | \(-0.416858\pi\) |
0.706681 | + | 0.707532i | \(0.250191\pi\) | |||||||
\(84\) | −3.06877 | + | 1.30608i | −0.334830 | + | 0.142505i | ||||
\(85\) | −9.61053 | − | 2.57514i | −1.04241 | − | 0.279313i | ||||
\(86\) | −2.00635 | + | 9.53118i | −0.216350 | + | 1.02777i | ||||
\(87\) | 5.44349 | + | 8.76932i | 0.583604 | + | 0.940170i | ||||
\(88\) | −4.53449 | − | 10.0251i | −0.483378 | − | 1.06868i | ||||
\(89\) | 13.0545 | 1.38378 | 0.691889 | − | 0.722004i | \(-0.256779\pi\) | ||||
0.691889 | + | 0.722004i | \(0.256779\pi\) | |||||||
\(90\) | 16.1794 | + | 2.33960i | 1.70546 | + | 0.246616i | ||||
\(91\) | −1.13333 | − | 1.13333i | −0.118806 | − | 0.118806i | ||||
\(92\) | −1.26914 | − | 0.559089i | −0.132316 | − | 0.0582890i | ||||
\(93\) | 4.21228 | − | 4.49027i | 0.436793 | − | 0.465620i | ||||
\(94\) | −4.46497 | − | 6.84597i | −0.460527 | − | 0.706108i | ||||
\(95\) | −10.9581 | − | 18.9801i | −1.12428 | − | 1.94731i | ||||
\(96\) | 8.68240 | + | 4.54048i | 0.886144 | + | 0.463410i | ||||
\(97\) | 1.76559 | − | 3.05809i | 0.179268 | − | 0.310502i | −0.762362 | − | 0.647151i | \(-0.775960\pi\) |
0.941630 | + | 0.336649i | \(0.109294\pi\) | |||||||
\(98\) | −8.57594 | + | 0.466347i | −0.866301 | + | 0.0471082i | ||||
\(99\) | −8.76208 | − | 7.70871i | −0.880622 | − | 0.774755i | ||||
\(100\) | 2.13557 | + | 19.5781i | 0.213557 | + | 1.95781i | ||||
\(101\) | −18.3403 | + | 4.91426i | −1.82492 | + | 0.488987i | −0.997375 | − | 0.0724058i | \(-0.976932\pi\) |
−0.827549 | + | 0.561393i | \(0.810266\pi\) | |||||||
\(102\) | −6.22777 | − | 1.10460i | −0.616641 | − | 0.109372i | ||||
\(103\) | 1.72391 | + | 2.98591i | 0.169862 | + | 0.294210i | 0.938371 | − | 0.345629i | \(-0.112334\pi\) |
−0.768509 | + | 0.639839i | \(0.779001\pi\) | |||||||
\(104\) | −0.464569 | + | 4.68564i | −0.0455547 | + | 0.459465i | ||||
\(105\) | −5.66438 | − | 3.03344i | −0.552787 | − | 0.296033i | ||||
\(106\) | −12.6997 | + | 4.15399i | −1.23350 | + | 0.403471i | ||||
\(107\) | −6.09696 | + | 6.09696i | −0.589415 | + | 0.589415i | −0.937473 | − | 0.348058i | \(-0.886841\pi\) |
0.348058 | + | 0.937473i | \(0.386841\pi\) | |||||||
\(108\) | 10.3752 | + | 0.595667i | 0.998356 | + | 0.0573181i | ||||
\(109\) | 3.96541 | + | 3.96541i | 0.379817 | + | 0.379817i | 0.871036 | − | 0.491219i | \(-0.163448\pi\) |
−0.491219 | + | 0.871036i | \(0.663448\pi\) | |||||||
\(110\) | 9.58668 | − | 18.9067i | 0.914054 | − | 1.80268i | ||||
\(111\) | 2.44894 | − | 4.57293i | 0.232443 | − | 0.434043i | ||||
\(112\) | −2.59930 | − | 2.84158i | −0.245611 | − | 0.268504i | ||||
\(113\) | 5.53559 | − | 3.19597i | 0.520744 | − | 0.300652i | −0.216495 | − | 0.976284i | \(-0.569462\pi\) |
0.737239 | + | 0.675632i | \(0.236129\pi\) | |||||||
\(114\) | −7.97970 | − | 11.4207i | −0.747368 | − | 1.06965i | ||||
\(115\) | −0.691527 | − | 2.58081i | −0.0644852 | − | 0.240662i | ||||
\(116\) | −7.46390 | + | 9.29159i | −0.693006 | + | 0.862702i | ||||
\(117\) | 1.59786 | + | 4.73173i | 0.147722 | + | 0.437449i | ||||
\(118\) | 8.55424 | − | 9.53808i | 0.787482 | − | 0.878051i | ||||
\(119\) | 2.15297 | + | 1.24302i | 0.197362 | + | 0.113947i | ||||
\(120\) | 3.65598 | + | 18.5193i | 0.333744 | + | 1.69057i | ||||
\(121\) | −3.57940 | + | 2.06657i | −0.325400 | + | 0.187870i | ||||
\(122\) | 0.641949 | − | 3.04959i | 0.0581193 | − | 0.276097i | ||||
\(123\) | −12.5751 | − | 11.7966i | −1.13386 | − | 1.06366i | ||||
\(124\) | 6.50592 | + | 2.86604i | 0.584249 | + | 0.257378i | ||||
\(125\) | −13.2066 | + | 13.2066i | −1.18123 | + | 1.18123i | ||||
\(126\) | −3.75361 | − | 1.61098i | −0.334398 | − | 0.143517i | ||||
\(127\) | − | 3.08724i | − | 0.273948i | −0.990575 | − | 0.136974i | \(-0.956262\pi\) | ||
0.990575 | − | 0.136974i | \(-0.0437377\pi\) | |||||||
\(128\) | −1.61598 | + | 11.1977i | −0.142833 | + | 0.989747i | ||||
\(129\) | −10.1352 | + | 6.29135i | −0.892354 | + | 0.553922i | ||||
\(130\) | −7.59837 | + | 4.95569i | −0.666421 | + | 0.434643i | ||||
\(131\) | −1.36018 | + | 5.07628i | −0.118840 | + | 0.443516i | −0.999545 | − | 0.0301478i | \(-0.990402\pi\) |
0.880706 | + | 0.473664i | \(0.157069\pi\) | |||||||
\(132\) | 5.03617 | − | 12.4994i | 0.438342 | − | 1.08793i | ||||
\(133\) | 1.41732 | + | 5.28949i | 0.122897 | + | 0.458657i | ||||
\(134\) | −4.11101 | + | 4.58382i | −0.355137 | + | 0.395982i | ||||
\(135\) | 11.6236 | + | 16.3023i | 1.00040 | + | 1.40308i | ||||
\(136\) | −1.18502 | − | 7.20667i | −0.101614 | − | 0.617966i | ||||
\(137\) | 0.807507 | − | 1.39864i | 0.0689899 | − | 0.119494i | −0.829467 | − | 0.558556i | \(-0.811356\pi\) |
0.898457 | + | 0.439062i | \(0.144689\pi\) | |||||||
\(138\) | −0.579314 | − | 1.59666i | −0.0493145 | − | 0.135917i | ||||
\(139\) | 1.02028 | − | 3.80774i | 0.0865390 | − | 0.322968i | −0.909062 | − | 0.416661i | \(-0.863200\pi\) |
0.995601 | + | 0.0936925i | \(0.0298671\pi\) | |||||||
\(140\) | 1.13186 | − | 7.33268i | 0.0956594 | − | 0.619724i | ||||
\(141\) | 2.28080 | − | 9.74694i | 0.192078 | − | 0.820840i | ||||
\(142\) | 11.8568 | + | 6.01203i | 0.995003 | + | 0.504519i | ||||
\(143\) | 6.47609 | 0.541558 | ||||||||
\(144\) | 3.32972 | + | 11.5288i | 0.277477 | + | 0.960732i | ||||
\(145\) | −22.9616 | −1.90685 | ||||||||
\(146\) | 4.76582 | + | 2.41652i | 0.394422 | + | 0.199993i | ||||
\(147\) | −7.67164 | − | 7.19669i | −0.632746 | − | 0.593573i | ||||
\(148\) | 5.91977 | + | 0.913763i | 0.486602 | + | 0.0751109i | ||||
\(149\) | 1.15611 | − | 4.31466i | 0.0947122 | − | 0.353471i | −0.902263 | − | 0.431185i | \(-0.858096\pi\) |
0.996976 | + | 0.0777144i | \(0.0247622\pi\) | |||||||
\(150\) | −15.5229 | + | 18.4617i | −1.26744 | + | 1.50739i | ||||
\(151\) | 9.60303 | − | 16.6329i | 0.781483 | − | 1.35357i | −0.149594 | − | 0.988747i | \(-0.547797\pi\) |
0.931078 | − | 0.364821i | \(-0.118870\pi\) | |||||||
\(152\) | 9.37915 | − | 13.0706i | 0.760749 | − | 1.06017i | ||||
\(153\) | −4.29351 | − | 6.44776i | −0.347109 | − | 0.521271i | ||||
\(154\) | −3.53643 | + | 3.94316i | −0.284974 | + | 0.317749i | ||||
\(155\) | 3.54495 | + | 13.2299i | 0.284737 | + | 1.06265i | ||||
\(156\) | −4.54094 | + | 3.55478i | −0.363566 | + | 0.284610i | ||||
\(157\) | −4.88175 | + | 18.2189i | −0.389606 | + | 1.45403i | 0.441170 | + | 0.897423i | \(0.354564\pi\) |
−0.830776 | + | 0.556606i | \(0.812103\pi\) | |||||||
\(158\) | −13.0273 | + | 8.49645i | −1.03639 | + | 0.675941i | ||||
\(159\) | −14.4263 | − | 7.72573i | −1.14408 | − | 0.612690i | ||||
\(160\) | −18.7687 | + | 11.0834i | −1.48380 | + | 0.876222i | ||||
\(161\) | 0.667600i | 0.0526142i | ||||||||
\(162\) | 8.25449 | + | 9.68831i | 0.648534 | + | 0.761186i | ||||
\(163\) | 10.2654 | − | 10.2654i | 0.804052 | − | 0.804052i | −0.179675 | − | 0.983726i | \(-0.557504\pi\) |
0.983726 | + | 0.179675i | \(0.0575045\pi\) | |||||||
\(164\) | 8.02639 | − | 18.2199i | 0.626756 | − | 1.42274i | ||||
\(165\) | 24.8505 | − | 7.51684i | 1.93461 | − | 0.585185i | ||||
\(166\) | −2.65122 | + | 12.5947i | −0.205774 | + | 0.977535i | ||||
\(167\) | −4.99449 | + | 2.88357i | −0.386485 | + | 0.223137i | −0.680636 | − | 0.732622i | \(-0.738296\pi\) |
0.294151 | + | 0.955759i | \(0.404963\pi\) | |||||||
\(168\) | 0.315264 | − | 4.70606i | 0.0243231 | − | 0.363081i | ||||
\(169\) | 8.85824 | + | 5.11431i | 0.681403 | + | 0.393408i | ||||
\(170\) | 9.39464 | − | 10.4751i | 0.720536 | − | 0.803405i | ||||
\(171\) | 3.35541 | − | 16.7303i | 0.256594 | − | 1.27940i | ||||
\(172\) | −10.7388 | − | 8.62645i | −0.818827 | − | 0.657761i | ||||
\(173\) | 2.06432 | + | 7.70414i | 0.156947 | + | 0.585735i | 0.998931 | + | 0.0462316i | \(0.0147212\pi\) |
−0.841984 | + | 0.539503i | \(0.818612\pi\) | |||||||
\(174\) | −14.5425 | + | 1.25753i | −1.10246 | + | 0.0953331i | ||||
\(175\) | 8.21040 | − | 4.74028i | 0.620648 | − | 0.358331i | ||||
\(176\) | 15.5451 | + | 0.692205i | 1.17176 | + | 0.0521769i | ||||
\(177\) | 15.6836 | − | 0.500998i | 1.17885 | − | 0.0376573i | ||||
\(178\) | −8.34918 | + | 16.4661i | −0.625798 | + | 1.23419i | ||||
\(179\) | 1.48408 | + | 1.48408i | 0.110925 | + | 0.110925i | 0.760391 | − | 0.649466i | \(-0.225007\pi\) |
−0.649466 | + | 0.760391i | \(0.725007\pi\) | |||||||
\(180\) | −13.2988 | + | 18.9113i | −0.991232 | + | 1.40957i | ||||
\(181\) | 4.93884 | − | 4.93884i | 0.367101 | − | 0.367101i | −0.499318 | − | 0.866419i | \(-0.666416\pi\) |
0.866419 | + | 0.499318i | \(0.166416\pi\) | |||||||
\(182\) | 2.15435 | − | 0.704674i | 0.159691 | − | 0.0522339i | ||||
\(183\) | 3.24285 | − | 2.01297i | 0.239718 | − | 0.148803i | ||||
\(184\) | 1.51689 | − | 1.24323i | 0.111826 | − | 0.0916521i | ||||
\(185\) | 5.77004 | + | 9.99400i | 0.424222 | + | 0.734774i | ||||
\(186\) | 2.96972 | + | 8.18489i | 0.217750 | + | 0.600145i | ||||
\(187\) | −9.70266 | + | 2.59982i | −0.709529 | + | 0.190118i | ||||
\(188\) | 11.4907 | − | 1.25340i | 0.838043 | − | 0.0914134i | ||||
\(189\) | −1.75108 | − | 4.68625i | −0.127373 | − | 0.340875i | ||||
\(190\) | 30.9486 | − | 1.68294i | 2.24525 | − | 0.122093i | ||||
\(191\) | −3.80239 | + | 6.58592i | −0.275131 | + | 0.476541i | −0.970168 | − | 0.242433i | \(-0.922055\pi\) |
0.695037 | + | 0.718974i | \(0.255388\pi\) | |||||||
\(192\) | −11.2800 | + | 8.04748i | −0.814063 | + | 0.580777i | ||||
\(193\) | 0.964071 | + | 1.66982i | 0.0693954 | + | 0.120196i | 0.898635 | − | 0.438696i | \(-0.144560\pi\) |
−0.829240 | + | 0.558893i | \(0.811226\pi\) | |||||||
\(194\) | 2.72807 | + | 4.18283i | 0.195864 | + | 0.300310i | ||||
\(195\) | −10.8182 | − | 2.53147i | −0.774705 | − | 0.181283i | ||||
\(196\) | 4.89663 | − | 11.1154i | 0.349759 | − | 0.793955i | ||||
\(197\) | −16.2088 | − | 16.2088i | −1.15483 | − | 1.15483i | −0.985573 | − | 0.169254i | \(-0.945864\pi\) |
−0.169254 | − | 0.985573i | \(-0.554136\pi\) | |||||||
\(198\) | 15.3271 | − | 6.12170i | 1.08925 | − | 0.435050i | ||||
\(199\) | −6.55635 | −0.464768 | −0.232384 | − | 0.972624i | \(-0.574653\pi\) | ||||
−0.232384 | + | 0.972624i | \(0.574653\pi\) | |||||||
\(200\) | −26.0603 | − | 9.82775i | −1.84274 | − | 0.694927i | ||||
\(201\) | −7.53722 | + | 0.240770i | −0.531635 | + | 0.0169826i | ||||
\(202\) | 5.53122 | − | 26.2762i | 0.389175 | − | 1.84878i | ||||
\(203\) | 5.54178 | + | 1.48491i | 0.388956 | + | 0.104221i | ||||
\(204\) | 5.37631 | − | 7.14883i | 0.376417 | − | 0.500518i | ||||
\(205\) | 37.0507 | − | 9.92769i | 2.58773 | − | 0.693380i | ||||
\(206\) | −4.86877 | + | 0.264757i | −0.339223 | + | 0.0184465i | ||||
\(207\) | 0.923018 | − | 1.86425i | 0.0641542 | − | 0.129574i | ||||
\(208\) | −5.61303 | − | 3.58273i | −0.389194 | − | 0.248418i | ||||
\(209\) | −19.1620 | − | 11.0632i | −1.32546 | − | 0.765257i | ||||
\(210\) | 7.44890 | − | 5.20459i | 0.514023 | − | 0.359151i | ||||
\(211\) | 5.83649 | + | 1.56388i | 0.401800 | + | 0.107662i | 0.454059 | − | 0.890971i | \(-0.349975\pi\) |
−0.0522589 | + | 0.998634i | \(0.516642\pi\) | |||||||
\(212\) | 2.88268 | − | 18.6753i | 0.197983 | − | 1.28262i | ||||
\(213\) | 4.71399 | + | 15.5843i | 0.322997 | + | 1.06782i | ||||
\(214\) | −3.79091 | − | 11.5897i | −0.259141 | − | 0.792254i | ||||
\(215\) | − | 26.5380i | − | 1.80988i | ||||||
\(216\) | −7.38693 | + | 12.7056i | −0.502617 | + | 0.864509i | ||||
\(217\) | − | 3.42229i | − | 0.232320i | ||||||
\(218\) | −7.53783 | + | 2.46558i | −0.510526 | + | 0.166990i | ||||
\(219\) | 1.89477 | + | 6.26408i | 0.128037 | + | 0.423287i | ||||
\(220\) | 17.7163 | + | 24.1840i | 1.19444 | + | 1.63048i | ||||
\(221\) | 4.15217 | + | 1.11257i | 0.279305 | + | 0.0748395i | ||||
\(222\) | 4.20173 | + | 6.01359i | 0.282002 | + | 0.403606i | ||||
\(223\) | 4.51028 | + | 2.60401i | 0.302031 | + | 0.174377i | 0.643355 | − | 0.765568i | \(-0.277542\pi\) |
−0.341324 | + | 0.939946i | \(0.610875\pi\) | |||||||
\(224\) | 5.24659 | − | 1.46122i | 0.350553 | − | 0.0976319i | ||||
\(225\) | −29.4811 | + | 1.88542i | −1.96541 | + | 0.125695i | ||||
\(226\) | 0.490833 | + | 9.02624i | 0.0326498 | + | 0.600416i | ||||
\(227\) | −6.28589 | + | 1.68430i | −0.417209 | + | 0.111791i | −0.461316 | − | 0.887236i | \(-0.652623\pi\) |
0.0441067 | + | 0.999027i | \(0.485956\pi\) | |||||||
\(228\) | 19.5088 | − | 2.76082i | 1.29200 | − | 0.182840i | ||||
\(229\) | 3.99522 | + | 1.07052i | 0.264012 | + | 0.0707418i | 0.388397 | − | 0.921492i | \(-0.373029\pi\) |
−0.124385 | + | 0.992234i | \(0.539696\pi\) | |||||||
\(230\) | 3.69754 | + | 0.778345i | 0.243808 | + | 0.0513225i | ||||
\(231\) | −6.48378 | + | 0.207119i | −0.426601 | + | 0.0136274i | ||||
\(232\) | −6.94615 | − | 15.3570i | −0.456037 | − | 1.00824i | ||||
\(233\) | −17.2178 | −1.12797 | −0.563987 | − | 0.825783i | \(-0.690733\pi\) | ||||
−0.563987 | + | 0.825783i | \(0.690733\pi\) | |||||||
\(234\) | −6.99022 | − | 1.01081i | −0.456965 | − | 0.0660786i | ||||
\(235\) | 15.7467 | + | 15.7467i | 1.02720 | + | 1.02720i | ||||
\(236\) | 6.55972 | + | 16.8899i | 0.427001 | + | 1.09944i | ||||
\(237\) | −18.5476 | − | 4.34017i | −1.20479 | − | 0.281924i | ||||
\(238\) | −2.94482 | + | 1.92062i | −0.190884 | + | 0.124496i | ||||
\(239\) | 4.49270 | + | 7.78159i | 0.290609 | + | 0.503349i | 0.973954 | − | 0.226747i | \(-0.0728089\pi\) |
−0.683345 | + | 0.730095i | \(0.739476\pi\) | |||||||
\(240\) | −25.6972 | − | 7.23284i | −1.65875 | − | 0.466878i | ||||
\(241\) | 0.560812 | − | 0.971356i | 0.0361251 | − | 0.0625705i | −0.847398 | − | 0.530959i | \(-0.821832\pi\) |
0.883523 | + | 0.468388i | \(0.155165\pi\) | |||||||
\(242\) | −0.317381 | − | 5.83652i | −0.0204020 | − | 0.375185i | ||||
\(243\) | −1.58933 | + | 15.5072i | −0.101956 | + | 0.994789i | ||||
\(244\) | 3.43598 | + | 2.76011i | 0.219966 | + | 0.176698i | ||||
\(245\) | 22.6034 | − | 6.05655i | 1.44408 | − | 0.386939i | ||||
\(246\) | 22.9220 | − | 8.31675i | 1.46145 | − | 0.530256i | ||||
\(247\) | 4.73439 | + | 8.20020i | 0.301242 | + | 0.521766i | ||||
\(248\) | −7.77596 | + | 6.37312i | −0.493774 | + | 0.404693i | ||||
\(249\) | −13.3928 | + | 8.31349i | −0.848735 | + | 0.526846i | ||||
\(250\) | −8.21145 | − | 25.1043i | −0.519338 | − | 1.58773i | ||||
\(251\) | 0.699267 | − | 0.699267i | 0.0441373 | − | 0.0441373i | −0.684694 | − | 0.728831i | \(-0.740064\pi\) |
0.728831 | + | 0.684694i | \(0.240064\pi\) | |||||||
\(252\) | 4.43265 | − | 3.70423i | 0.279230 | − | 0.233344i | ||||
\(253\) | −1.90740 | − | 1.90740i | −0.119917 | − | 0.119917i | ||||
\(254\) | 3.89403 | + | 1.97448i | 0.244333 | + | 0.123890i | ||||
\(255\) | 17.2244 | − | 0.550217i | 1.07863 | − | 0.0344559i | ||||
\(256\) | −13.0905 | − | 9.19991i | −0.818157 | − | 0.574995i | ||||
\(257\) | 5.79978 | − | 3.34851i | 0.361781 | − | 0.208874i | −0.308081 | − | 0.951360i | \(-0.599687\pi\) |
0.669862 | + | 0.742486i | \(0.266353\pi\) | |||||||
\(258\) | −1.45340 | − | 16.8076i | −0.0904846 | − | 1.04639i | ||||
\(259\) | −0.746291 | − | 2.78520i | −0.0463723 | − | 0.173064i | ||||
\(260\) | −1.39115 | − | 12.7535i | −0.0862755 | − | 0.790941i | ||||
\(261\) | −13.4222 | − | 11.8086i | −0.830812 | − | 0.730933i | ||||
\(262\) | −5.53295 | − | 4.96224i | −0.341827 | − | 0.306568i | ||||
\(263\) | 12.2113 | + | 7.05022i | 0.752984 | + | 0.434735i | 0.826771 | − | 0.562539i | \(-0.190175\pi\) |
−0.0737874 | + | 0.997274i | \(0.523509\pi\) | |||||||
\(264\) | 12.5449 | + | 14.3464i | 0.772088 | + | 0.882961i | ||||
\(265\) | 31.5284 | − | 18.2029i | 1.93677 | − | 1.11820i | ||||
\(266\) | −7.57827 | − | 1.59525i | −0.464654 | − | 0.0978112i | ||||
\(267\) | −21.6427 | + | 6.54653i | −1.32451 | + | 0.400641i | ||||
\(268\) | −3.15248 | − | 8.11699i | −0.192568 | − | 0.495824i | ||||
\(269\) | −13.2566 | + | 13.2566i | −0.808267 | + | 0.808267i | −0.984371 | − | 0.176105i | \(-0.943650\pi\) |
0.176105 | + | 0.984371i | \(0.443650\pi\) | |||||||
\(270\) | −27.9966 | + | 4.23485i | −1.70382 | + | 0.257725i | ||||
\(271\) | 10.4494i | 0.634755i | 0.948299 | + | 0.317377i | \(0.102802\pi\) | ||||
−0.948299 | + | 0.317377i | \(0.897198\pi\) | |||||||
\(272\) | 9.84789 | + | 3.11441i | 0.597116 | + | 0.188839i | ||||
\(273\) | 2.44726 | + | 1.31058i | 0.148115 | + | 0.0793197i | ||||
\(274\) | 1.24770 | + | 1.91305i | 0.0753765 | + | 0.115572i | ||||
\(275\) | −9.91448 | + | 37.0013i | −0.597866 | + | 2.23126i | ||||
\(276\) | 2.38443 | + | 0.290455i | 0.143526 | + | 0.0174833i | ||||
\(277\) | 4.19068 | + | 15.6398i | 0.251794 | + | 0.939707i | 0.969846 | + | 0.243718i | \(0.0783672\pi\) |
−0.718052 | + | 0.695989i | \(0.754966\pi\) | |||||||
\(278\) | 4.15029 | + | 3.72220i | 0.248918 | + | 0.223243i | ||||
\(279\) | −4.73163 | + | 9.55663i | −0.283275 | + | 0.572140i | ||||
\(280\) | 8.52505 | + | 6.11735i | 0.509469 | + | 0.365582i | ||||
\(281\) | 12.1751 | − | 21.0879i | 0.726306 | − | 1.25800i | −0.232129 | − | 0.972685i | \(-0.574569\pi\) |
0.958434 | − | 0.285313i | \(-0.0920977\pi\) | |||||||
\(282\) | 10.8354 | + | 9.11063i | 0.645240 | + | 0.542530i | ||||
\(283\) | 2.27765 | − | 8.50029i | 0.135392 | − | 0.505290i | −0.864604 | − | 0.502454i | \(-0.832431\pi\) |
0.999996 | − | 0.00283598i | \(-0.000902723\pi\) | |||||||
\(284\) | −15.1664 | + | 11.1103i | −0.899957 | + | 0.659277i | ||||
\(285\) | 27.6852 | + | 25.9712i | 1.63993 | + | 1.53840i | ||||
\(286\) | −4.14186 | + | 8.16850i | −0.244913 | + | 0.483014i | ||||
\(287\) | −9.58419 | −0.565737 | ||||||||
\(288\) | −16.6712 | − | 3.17349i | −0.982360 | − | 0.187000i | ||||
\(289\) | 10.3325 | 0.607792 | ||||||||
\(290\) | 14.6854 | − | 28.9622i | 0.862354 | − | 1.70072i | ||||
\(291\) | −1.39355 | + | 5.95531i | −0.0816916 | + | 0.349106i | ||||
\(292\) | −6.09607 | + | 4.46577i | −0.356746 | + | 0.261339i | ||||
\(293\) | −0.216688 | + | 0.808690i | −0.0126590 | + | 0.0472442i | −0.971966 | − | 0.235120i | \(-0.924452\pi\) |
0.959307 | + | 0.282364i | \(0.0911185\pi\) | |||||||
\(294\) | 13.9839 | − | 5.07377i | 0.815558 | − | 0.295908i | ||||
\(295\) | −17.4541 | + | 30.2313i | −1.01621 | + | 1.76014i | ||||
\(296\) | −4.93862 | + | 6.88239i | −0.287051 | + | 0.400031i | ||||
\(297\) | 18.3921 | + | 8.38605i | 1.06722 | + | 0.486608i | ||||
\(298\) | 4.70282 | + | 4.21773i | 0.272427 | + | 0.244327i | ||||
\(299\) | 0.298769 | + | 1.11502i | 0.0172783 | + | 0.0644834i | ||||
\(300\) | −13.3584 | − | 31.3870i | −0.771250 | − | 1.81213i | ||||
\(301\) | −1.71620 | + | 6.40494i | −0.0989201 | + | 0.369175i | ||||
\(302\) | 14.8379 | + | 22.7504i | 0.853827 | + | 1.30914i | ||||
\(303\) | 27.9413 | − | 17.3444i | 1.60519 | − | 0.996409i | ||||
\(304\) | 10.4879 | + | 20.1897i | 0.601522 | + | 1.15796i | ||||
\(305\) | 8.49106i | 0.486197i | ||||||||
\(306\) | 10.8787 | − | 1.29180i | 0.621896 | − | 0.0738470i | ||||
\(307\) | −21.1593 | + | 21.1593i | −1.20763 | + | 1.20763i | −0.235831 | + | 0.971794i | \(0.575781\pi\) |
−0.971794 | + | 0.235831i | \(0.924219\pi\) | |||||||
\(308\) | −2.71187 | − | 6.98251i | −0.154523 | − | 0.397866i | ||||
\(309\) | −4.35538 | − | 4.08574i | −0.247769 | − | 0.232429i | ||||
\(310\) | −18.9545 | − | 3.99000i | −1.07655 | − | 0.226617i | ||||
\(311\) | 10.8454 | − | 6.26157i | 0.614984 | − | 0.355061i | −0.159929 | − | 0.987128i | \(-0.551127\pi\) |
0.774914 | + | 0.632067i | \(0.217793\pi\) | |||||||
\(312\) | −1.57954 | − | 8.00114i | −0.0894239 | − | 0.452975i | ||||
\(313\) | −28.1752 | − | 16.2670i | −1.59256 | − | 0.919463i | −0.992867 | − | 0.119230i | \(-0.961958\pi\) |
−0.599689 | − | 0.800233i | \(-0.704709\pi\) | |||||||
\(314\) | −19.8580 | − | 17.8097i | −1.12065 | − | 1.00506i | ||||
\(315\) | 10.9120 | + | 2.18849i | 0.614820 | + | 0.123308i | ||||
\(316\) | −2.38510 | − | 21.8657i | −0.134173 | − | 1.23004i | ||||
\(317\) | −3.60078 | − | 13.4383i | −0.202240 | − | 0.754770i | −0.990273 | − | 0.139137i | \(-0.955567\pi\) |
0.788033 | − | 0.615633i | \(-0.211100\pi\) | |||||||
\(318\) | 18.9713 | − | 13.2553i | 1.06386 | − | 0.743322i | ||||
\(319\) | −20.0759 | + | 11.5908i | −1.12404 | + | 0.648963i | ||||
\(320\) | −1.97613 | − | 30.7622i | −0.110469 | − | 1.71966i | ||||
\(321\) | 7.05047 | − | 13.1654i | 0.393519 | − | 0.734822i | ||||
\(322\) | −0.842066 | − | 0.426972i | −0.0469265 | − | 0.0237942i | ||||
\(323\) | −10.3852 | − | 10.3852i | −0.577846 | − | 0.577846i | ||||
\(324\) | −17.4994 | + | 4.21538i | −0.972191 | + | 0.234188i | ||||
\(325\) | 11.5916 | − | 11.5916i | 0.642985 | − | 0.642985i | ||||
\(326\) | 6.38275 | + | 19.5135i | 0.353508 | + | 1.08075i | ||||
\(327\) | −8.56268 | − | 4.58557i | −0.473517 | − | 0.253582i | ||||
\(328\) | 17.8480 | + | 21.7767i | 0.985493 | + | 1.20242i | ||||
\(329\) | −2.78214 | − | 4.81880i | −0.153384 | − | 0.265669i | ||||
\(330\) | −6.41220 | + | 36.1522i | −0.352980 | + | 1.99012i | ||||
\(331\) | −5.29427 | + | 1.41860i | −0.291000 | + | 0.0779731i | −0.401366 | − | 0.915918i | \(-0.631464\pi\) |
0.110366 | + | 0.993891i | \(0.464798\pi\) | |||||||
\(332\) | −14.1904 | − | 11.3991i | −0.778801 | − | 0.625609i | ||||
\(333\) | −1.76680 | + | 8.80938i | −0.0968200 | + | 0.482751i | ||||
\(334\) | −0.442855 | − | 8.14393i | −0.0242319 | − | 0.445616i | ||||
\(335\) | 8.38809 | − | 14.5286i | 0.458291 | − | 0.793783i | ||||
\(336\) | 5.73428 | + | 3.40747i | 0.312831 | + | 0.185893i | ||||
\(337\) | −4.44303 | − | 7.69556i | −0.242027 | − | 0.419204i | 0.719264 | − | 0.694737i | \(-0.244479\pi\) |
−0.961292 | + | 0.275533i | \(0.911146\pi\) | |||||||
\(338\) | −12.1162 | + | 7.90227i | −0.659037 | + | 0.429827i | ||||
\(339\) | −7.57456 | + | 8.07446i | −0.411394 | + | 0.438544i | ||||
\(340\) | 7.20416 | + | 18.5493i | 0.390701 | + | 1.00597i | ||||
\(341\) | 9.77782 | + | 9.77782i | 0.529498 | + | 0.529498i | ||||
\(342\) | 18.9565 | + | 14.9323i | 1.02505 | + | 0.807449i | ||||
\(343\) | −12.5864 | −0.679602 | ||||||||
\(344\) | 17.7490 | − | 8.02806i | 0.956960 | − | 0.432844i | ||||
\(345\) | 2.44067 | + | 3.93186i | 0.131401 | + | 0.211684i | ||||
\(346\) | −11.0377 | − | 2.32348i | −0.593393 | − | 0.124911i | ||||
\(347\) | −13.2779 | − | 3.55779i | −0.712793 | − | 0.190992i | −0.115839 | − | 0.993268i | \(-0.536956\pi\) |
−0.596954 | + | 0.802276i | \(0.703622\pi\) | |||||||
\(348\) | 7.71466 | − | 19.1472i | 0.413549 | − | 1.02640i | ||||
\(349\) | −15.5592 | + | 4.16907i | −0.832863 | + | 0.223165i | −0.649962 | − | 0.759966i | \(-0.725215\pi\) |
−0.182901 | + | 0.983131i | \(0.558549\pi\) | |||||||
\(350\) | 0.728006 | + | 13.3877i | 0.0389136 | + | 0.715605i | ||||
\(351\) | −5.02188 | − | 7.04330i | −0.268048 | − | 0.375943i | ||||
\(352\) | −10.8152 | + | 19.1649i | −0.576451 | + | 1.02149i | ||||
\(353\) | −7.72178 | − | 4.45817i | −0.410989 | − | 0.237284i | 0.280226 | − | 0.959934i | \(-0.409591\pi\) |
−0.691214 | + | 0.722650i | \(0.742924\pi\) | |||||||
\(354\) | −9.39868 | + | 20.1026i | −0.499534 | + | 1.06844i | ||||
\(355\) | −34.9868 | − | 9.37467i | −1.85690 | − | 0.497556i | ||||
\(356\) | −15.4294 | − | 21.0622i | −0.817758 | − | 1.11629i | ||||
\(357\) | −4.19268 | − | 0.981096i | −0.221900 | − | 0.0519251i | ||||
\(358\) | −2.82108 | + | 0.922758i | −0.149099 | + | 0.0487693i | ||||
\(359\) | 20.3164i | 1.07226i | 0.844136 | + | 0.536129i | \(0.180114\pi\) | ||||
−0.844136 | + | 0.536129i | \(0.819886\pi\) | |||||||
\(360\) | −15.3481 | − | 28.8692i | −0.808916 | − | 1.52154i | ||||
\(361\) | − | 13.3513i | − | 0.702699i | ||||||
\(362\) | 3.07083 | + | 9.38822i | 0.161399 | + | 0.493434i | ||||
\(363\) | 4.89784 | − | 5.22108i | 0.257070 | − | 0.274036i | ||||
\(364\) | −0.489011 | + | 3.16803i | −0.0256312 | + | 0.166050i | ||||
\(365\) | −14.0628 | − | 3.76812i | −0.736082 | − | 0.197233i | ||||
\(366\) | 0.465028 | + | 5.37773i | 0.0243074 | + | 0.281098i | ||||
\(367\) | −20.8621 | − | 12.0447i | −1.08899 | − | 0.628729i | −0.155683 | − | 0.987807i | \(-0.549758\pi\) |
−0.933308 | + | 0.359078i | \(0.883091\pi\) | |||||||
\(368\) | 0.597982 | + | 2.70842i | 0.0311720 | + | 0.141186i | ||||
\(369\) | 26.7635 | + | 13.2510i | 1.39325 | + | 0.689821i | ||||
\(370\) | −16.2961 | + | 0.886156i | −0.847192 | + | 0.0460690i | ||||
\(371\) | −8.78654 | + | 2.35435i | −0.456175 | + | 0.122232i | ||||
\(372\) | −12.2232 | − | 1.48895i | −0.633743 | − | 0.0771983i | ||||
\(373\) | −26.3435 | − | 7.05873i | −1.36402 | − | 0.365487i | −0.498727 | − | 0.866759i | \(-0.666199\pi\) |
−0.865290 | + | 0.501272i | \(0.832866\pi\) | |||||||
\(374\) | 2.92622 | − | 13.9010i | 0.151311 | − | 0.718805i | ||||
\(375\) | 15.2720 | − | 28.5175i | 0.788640 | − | 1.47264i | ||||
\(376\) | −5.76805 | + | 15.2952i | −0.297464 | + | 0.788789i | ||||
\(377\) | 9.92039 | 0.510926 | ||||||||
\(378\) | 7.03085 | + | 0.788447i | 0.361628 | + | 0.0405533i | ||||
\(379\) | 26.4493 | + | 26.4493i | 1.35861 | + | 1.35861i | 0.875636 | + | 0.482971i | \(0.160442\pi\) |
0.482971 | + | 0.875636i | \(0.339558\pi\) | |||||||
\(380\) | −17.6708 | + | 40.1128i | −0.906492 | + | 2.05774i | ||||
\(381\) | 1.54817 | + | 5.11823i | 0.0793153 | + | 0.262215i | ||||
\(382\) | −5.87518 | − | 9.00818i | −0.300600 | − | 0.460899i | ||||
\(383\) | 14.2366 | + | 24.6585i | 0.727455 | + | 1.25999i | 0.957955 | + | 0.286917i | \(0.0926305\pi\) |
−0.230500 | + | 0.973072i | \(0.574036\pi\) | |||||||
\(384\) | −2.93630 | − | 19.3747i | −0.149843 | − | 0.988710i | ||||
\(385\) | 7.21573 | − | 12.4980i | 0.367748 | − | 0.636957i | ||||
\(386\) | −2.72278 | + | 0.148061i | −0.138586 | + | 0.00753610i | ||||
\(387\) | 13.6478 | − | 15.5128i | 0.693759 | − | 0.788559i | ||||
\(388\) | −7.02071 | + | 0.765816i | −0.356423 | + | 0.0388784i | ||||
\(389\) | 19.4146 | − | 5.20211i | 0.984357 | − | 0.263758i | 0.269479 | − | 0.963006i | \(-0.413149\pi\) |
0.714878 | + | 0.699249i | \(0.246482\pi\) | |||||||
\(390\) | 10.1119 | − | 12.0263i | 0.512037 | − | 0.608974i | ||||
\(391\) | −0.895250 | − | 1.55062i | −0.0452747 | − | 0.0784182i | ||||
\(392\) | 10.8885 | + | 13.2852i | 0.549952 | + | 0.671006i | ||||
\(393\) | −0.290624 | − | 9.09789i | −0.0146600 | − | 0.458928i | ||||
\(394\) | 30.8111 | − | 10.0781i | 1.55224 | − | 0.507729i | ||||
\(395\) | 29.9646 | − | 29.9646i | 1.50768 | − | 1.50768i | ||||
\(396\) | −2.08116 | + | 23.2478i | −0.104582 | + | 1.16825i | ||||
\(397\) | 5.95094 | + | 5.95094i | 0.298669 | + | 0.298669i | 0.840492 | − | 0.541823i | \(-0.182266\pi\) |
−0.541823 | + | 0.840492i | \(0.682266\pi\) | |||||||
\(398\) | 4.19319 | − | 8.26974i | 0.210186 | − | 0.414525i | ||||
\(399\) | −5.00227 | − | 8.05853i | −0.250427 | − | 0.403431i | ||||
\(400\) | 29.0633 | − | 26.5853i | 1.45316 | − | 1.32927i | ||||
\(401\) | −4.11912 | + | 2.37818i | −0.205699 | + | 0.118761i | −0.599311 | − | 0.800516i | \(-0.704559\pi\) |
0.393612 | + | 0.919277i | \(0.371225\pi\) | |||||||
\(402\) | 4.51683 | − | 9.66093i | 0.225279 | − | 0.481844i | ||||
\(403\) | −1.53157 | − | 5.71590i | −0.0762929 | − | 0.284729i | ||||
\(404\) | 29.6054 | + | 23.7819i | 1.47292 | + | 1.18320i | ||||
\(405\) | −27.4455 | − | 21.1981i | −1.36378 | − | 1.05334i | ||||
\(406\) | −5.41728 | + | 6.04033i | −0.268855 | + | 0.299776i | ||||
\(407\) | 10.0898 | + | 5.82535i | 0.500133 | + | 0.288752i | ||||
\(408\) | 5.57857 | + | 11.3534i | 0.276180 | + | 0.562079i | ||||
\(409\) | 7.24880 | − | 4.18510i | 0.358430 | − | 0.206940i | −0.309962 | − | 0.950749i | \(-0.600316\pi\) |
0.668392 | + | 0.743809i | \(0.266983\pi\) | |||||||
\(410\) | −11.1741 | + | 53.0826i | −0.551848 | + | 2.62156i | ||||
\(411\) | −0.637353 | + | 2.72371i | −0.0314383 | + | 0.134351i | ||||
\(412\) | 2.77994 | − | 6.31047i | 0.136958 | − | 0.310895i | ||||
\(413\) | 6.16758 | − | 6.16758i | 0.303487 | − | 0.303487i | ||||
\(414\) | 1.76111 | + | 2.35654i | 0.0865539 | + | 0.115817i | ||||
\(415\) | − | 35.0677i | − | 1.72141i | ||||||
\(416\) | 8.10890 | − | 4.78852i | 0.397572 | − | 0.234777i | ||||
\(417\) | 0.217998 | + | 6.82437i | 0.0106754 | + | 0.334191i | ||||
\(418\) | 26.2096 | − | 17.0941i | 1.28196 | − | 0.836098i | ||||
\(419\) | 8.29108 | − | 30.9427i | 0.405046 | − | 1.51165i | −0.398926 | − | 0.916983i | \(-0.630617\pi\) |
0.803971 | − | 0.594668i | \(-0.202716\pi\) | |||||||
\(420\) | 1.80069 | + | 12.7242i | 0.0878646 | + | 0.620877i | ||||
\(421\) | 7.74504 | + | 28.9049i | 0.377470 | + | 1.40874i | 0.849702 | + | 0.527264i | \(0.176782\pi\) |
−0.472232 | + | 0.881475i | \(0.656551\pi\) | |||||||
\(422\) | −5.70537 | + | 6.36155i | −0.277733 | + | 0.309676i | ||||
\(423\) | 1.10658 | + | 17.3029i | 0.0538038 | + | 0.841295i | ||||
\(424\) | 21.7121 | + | 15.5800i | 1.05443 | + | 0.756632i | ||||
\(425\) | −12.7134 | + | 22.0203i | −0.616691 | + | 1.06814i | ||||
\(426\) | −22.6719 | − | 4.02124i | −1.09846 | − | 0.194830i | ||||
\(427\) | 0.549113 | − | 2.04932i | 0.0265734 | − | 0.0991735i | ||||
\(428\) | 17.0430 | + | 2.63072i | 0.823803 | + | 0.127161i | ||||
\(429\) | −10.7365 | + | 3.24760i | −0.518363 | + | 0.156796i | ||||
\(430\) | 33.4732 | + | 16.9727i | 1.61422 | + | 0.818496i | ||||
\(431\) | 10.3884 | 0.500389 | 0.250195 | − | 0.968196i | \(-0.419505\pi\) | ||||
0.250195 | + | 0.968196i | \(0.419505\pi\) | |||||||
\(432\) | −11.3016 | − | 17.4434i | −0.543750 | − | 0.839247i | ||||
\(433\) | −3.31869 | −0.159486 | −0.0797429 | − | 0.996815i | \(-0.525410\pi\) | ||||
−0.0797429 | + | 0.996815i | \(0.525410\pi\) | |||||||
\(434\) | 4.31665 | + | 2.18877i | 0.207206 | + | 0.105064i | ||||
\(435\) | 38.0672 | − | 11.5147i | 1.82518 | − | 0.552086i | ||||
\(436\) | 1.71100 | − | 11.0846i | 0.0819419 | − | 0.530856i | ||||
\(437\) | 1.02078 | − | 3.80962i | 0.0488307 | − | 0.182239i | ||||
\(438\) | −9.11291 | − | 1.61633i | −0.435432 | − | 0.0772311i | ||||
\(439\) | 15.8616 | − | 27.4732i | 0.757035 | − | 1.31122i | −0.187322 | − | 0.982299i | \(-0.559981\pi\) |
0.944356 | − | 0.328924i | \(-0.106686\pi\) | |||||||
\(440\) | −41.8348 | + | 6.87903i | −1.99439 | + | 0.327945i | ||||
\(441\) | 16.3275 | + | 8.08401i | 0.777501 | + | 0.384953i | ||||
\(442\) | −4.05889 | + | 4.52571i | −0.193062 | + | 0.215266i | ||||
\(443\) | 3.44686 | + | 12.8638i | 0.163765 | + | 0.611180i | 0.998194 | + | 0.0600649i | \(0.0191308\pi\) |
−0.834429 | + | 0.551115i | \(0.814203\pi\) | |||||||
\(444\) | −10.2724 | + | 1.45372i | −0.487507 | + | 0.0689905i | ||||
\(445\) | 13.0190 | − | 48.5877i | 0.617161 | − | 2.30328i | ||||
\(446\) | −6.16913 | + | 4.02354i | −0.292117 | + | 0.190520i | ||||
\(447\) | 0.247021 | + | 7.73289i | 0.0116837 | + | 0.365753i | ||||
\(448\) | −1.51244 | + | 7.55224i | −0.0714559 | + | 0.356810i | ||||
\(449\) | 13.0580i | 0.616243i | 0.951347 | + | 0.308121i | \(0.0997003\pi\) | ||||
−0.951347 | + | 0.308121i | \(0.900300\pi\) | |||||||
\(450\) | 16.4769 | − | 38.3914i | 0.776727 | − | 1.80979i | ||||
\(451\) | 27.3830 | − | 27.3830i | 1.28941 | − | 1.28941i | ||||
\(452\) | −11.6990 | − | 5.15373i | −0.550275 | − | 0.242411i | ||||
\(453\) | −7.57953 | + | 32.3909i | −0.356118 | + | 1.52186i | ||||
\(454\) | 1.89576 | − | 9.00581i | 0.0889722 | − | 0.422664i | ||||
\(455\) | −5.34841 | + | 3.08790i | −0.250737 | + | 0.144763i | ||||
\(456\) | −8.99477 | + | 26.3728i | −0.421219 | + | 1.23502i | ||||
\(457\) | −10.0451 | − | 5.79955i | −0.469890 | − | 0.271291i | 0.246303 | − | 0.969193i | \(-0.420784\pi\) |
−0.716194 | + | 0.697901i | \(0.754117\pi\) | |||||||
\(458\) | −3.90547 | + | 4.35465i | −0.182491 | + | 0.203479i | ||||
\(459\) | 10.3515 | + | 8.53644i | 0.483165 | + | 0.398447i | ||||
\(460\) | −3.34656 | + | 4.16603i | −0.156034 | + | 0.194242i | ||||
\(461\) | −3.56634 | − | 13.3098i | −0.166101 | − | 0.619898i | −0.997897 | − | 0.0648164i | \(-0.979354\pi\) |
0.831796 | − | 0.555081i | \(-0.187313\pi\) | |||||||
\(462\) | 3.88553 | − | 8.31067i | 0.180771 | − | 0.386647i | ||||
\(463\) | −11.4905 | + | 6.63406i | −0.534010 | + | 0.308311i | −0.742648 | − | 0.669682i | \(-0.766430\pi\) |
0.208638 | + | 0.977993i | \(0.433097\pi\) | |||||||
\(464\) | 23.8128 | + | 1.06035i | 1.10548 | + | 0.0492257i | ||||
\(465\) | −12.5115 | − | 20.1557i | −0.580208 | − | 0.934700i | ||||
\(466\) | 11.0118 | − | 21.7174i | 0.510114 | − | 1.00604i | ||||
\(467\) | 28.1581 | + | 28.1581i | 1.30300 | + | 1.30300i | 0.926357 | + | 0.376647i | \(0.122923\pi\) |
0.376647 | + | 0.926357i | \(0.377077\pi\) | |||||||
\(468\) | 5.74564 | − | 8.17052i | 0.265592 | − | 0.377682i | ||||
\(469\) | −2.96402 | + | 2.96402i | −0.136866 | + | 0.136866i | ||||
\(470\) | −29.9328 | + | 9.79084i | −1.38070 | + | 0.451618i | ||||
\(471\) | −1.04306 | − | 32.6527i | −0.0480617 | − | 1.50456i | ||||
\(472\) | −25.4992 | − | 2.52818i | −1.17369 | − | 0.116369i | ||||
\(473\) | −13.3962 | − | 23.2029i | −0.615958 | − | 1.06687i | ||||
\(474\) | 17.3367 | − | 20.6188i | 0.796301 | − | 0.947054i | ||||
\(475\) | −54.1002 | + | 14.4961i | −2.48229 | + | 0.665127i | ||||
\(476\) | −0.539153 | − | 4.94275i | −0.0247121 | − | 0.226551i | ||||
\(477\) | 27.7912 | + | 5.57377i | 1.27247 | + | 0.255206i | ||||
\(478\) | −12.6885 | + | 0.689983i | −0.580360 | + | 0.0315591i | ||||
\(479\) | 3.40138 | − | 5.89137i | 0.155413 | − | 0.269183i | −0.777796 | − | 0.628517i | \(-0.783662\pi\) |
0.933209 | + | 0.359333i | \(0.116996\pi\) | |||||||
\(480\) | 25.5580 | − | 27.7869i | 1.16656 | − | 1.26829i | ||||
\(481\) | −2.49291 | − | 4.31784i | −0.113667 | − | 0.196877i | ||||
\(482\) | 0.866528 | + | 1.32861i | 0.0394693 | + | 0.0605167i | ||||
\(483\) | −0.334785 | − | 1.10679i | −0.0152332 | − | 0.0503608i | ||||
\(484\) | 7.56477 | + | 3.33249i | 0.343853 | + | 0.151477i | ||||
\(485\) | −9.62112 | − | 9.62112i | −0.436873 | − | 0.436873i | ||||
\(486\) | −18.5433 | − | 11.9225i | −0.841141 | − | 0.540816i | ||||
\(487\) | −10.9714 | −0.497160 | −0.248580 | − | 0.968611i | \(-0.579964\pi\) | ||||
−0.248580 | + | 0.968611i | \(0.579964\pi\) | |||||||
\(488\) | −5.67894 | + | 2.56865i | −0.257074 | + | 0.116277i | ||||
\(489\) | −11.8709 | + | 22.1666i | −0.536819 | + | 1.00241i | ||||
\(490\) | −6.81692 | + | 32.3839i | −0.307957 | + | 1.46295i | ||||
\(491\) | −6.98135 | − | 1.87065i | −0.315064 | − | 0.0844211i | 0.0978219 | − | 0.995204i | \(-0.468812\pi\) |
−0.412886 | + | 0.910783i | \(0.635479\pi\) | |||||||
\(492\) | −4.16983 | + | 34.2313i | −0.187990 | + | 1.54327i | ||||
\(493\) | −14.8630 | + | 3.98253i | −0.669397 | + | 0.179364i | ||||
\(494\) | −13.3711 | + | 0.727102i | −0.601595 | + | 0.0327139i | ||||
\(495\) | −37.4293 | + | 24.9238i | −1.68232 | + | 1.12024i | ||||
\(496\) | −3.06541 | − | 13.8841i | −0.137641 | − | 0.623414i | ||||
\(497\) | 7.83780 | + | 4.52515i | 0.351573 | + | 0.202981i | ||||
\(498\) | −1.92054 | − | 22.2098i | −0.0860616 | − | 0.995244i | ||||
\(499\) | 25.4020 | + | 6.80645i | 1.13715 | + | 0.304698i | 0.777805 | − | 0.628506i | \(-0.216333\pi\) |
0.359346 | + | 0.933205i | \(0.383000\pi\) | |||||||
\(500\) | 36.9166 | + | 5.69837i | 1.65096 | + | 0.254839i | ||||
\(501\) | 6.83415 | − | 7.28518i | 0.305327 | − | 0.325478i | ||||
\(502\) | 0.434784 | + | 1.32923i | 0.0194053 | + | 0.0593266i | ||||
\(503\) | − | 1.37571i | − | 0.0613400i | −0.999530 | − | 0.0306700i | \(-0.990236\pi\) | ||
0.999530 | − | 0.0306700i | \(-0.00976410\pi\) | |||||||
\(504\) | 1.83731 | + | 7.96012i | 0.0818403 | + | 0.354572i | ||||
\(505\) | 73.1616i | 3.25565i | ||||||||
\(506\) | 3.62576 | − | 1.18596i | 0.161185 | − | 0.0527225i | ||||
\(507\) | −17.2505 | − | 4.03665i | −0.766121 | − | 0.179274i | ||||
\(508\) | −4.98095 | + | 3.64887i | −0.220994 | + | 0.161892i | ||||
\(509\) | −14.7384 | − | 3.94915i | −0.653269 | − | 0.175043i | −0.0830623 | − | 0.996544i | \(-0.526470\pi\) |
−0.570206 | + | 0.821502i | \(0.693137\pi\) | |||||||
\(510\) | −10.3220 | + | 22.0775i | −0.457067 | + | 0.977610i | ||||
\(511\) | 3.15038 | + | 1.81887i | 0.139365 | + | 0.0804622i | ||||
\(512\) | 19.9763 | − | 10.6276i | 0.882838 | − | 0.469677i | ||||
\(513\) | 2.82701 | + | 29.4193i | 0.124816 | + | 1.29889i | ||||
\(514\) | 0.514260 | + | 9.45704i | 0.0226830 | + | 0.417132i | ||||
\(515\) | 12.8325 | − | 3.43845i | 0.565467 | − | 0.151516i | ||||
\(516\) | 22.1295 | + | 8.91626i | 0.974196 | + | 0.392517i | ||||
\(517\) | 21.7166 | + | 5.81895i | 0.955096 | + | 0.255917i | ||||
\(518\) | 3.99036 | + | 0.839985i | 0.175326 | + | 0.0369068i | ||||
\(519\) | −7.28580 | − | 11.7372i | −0.319811 | − | 0.515207i | ||||
\(520\) | 16.9762 | + | 6.40198i | 0.744455 | + | 0.280745i | ||||
\(521\) | −23.4677 | −1.02814 | −0.514070 | − | 0.857748i | \(-0.671863\pi\) | ||||
−0.514070 | + | 0.857748i | \(0.671863\pi\) | |||||||
\(522\) | 23.4789 | − | 9.37752i | 1.02764 | − | 0.410443i | ||||
\(523\) | −30.0762 | − | 30.0762i | −1.31514 | − | 1.31514i | −0.917573 | − | 0.397567i | \(-0.869855\pi\) |
−0.397567 | − | 0.917573i | \(-0.630145\pi\) | |||||||
\(524\) | 9.79770 | − | 3.80523i | 0.428014 | − | 0.166232i | ||||
\(525\) | −11.2346 | + | 11.9761i | −0.490319 | + | 0.522678i | ||||
\(526\) | −16.7026 | + | 10.8935i | −0.728267 | + | 0.474980i | ||||
\(527\) | 4.58929 | + | 7.94888i | 0.199912 | + | 0.346259i | ||||
\(528\) | −26.1189 | + | 6.64792i | −1.13668 | + | 0.289314i | ||||
\(529\) | −11.2596 | + | 19.5022i | −0.489547 | + | 0.847921i | ||||
\(530\) | 2.79558 | + | 51.4096i | 0.121432 | + | 2.23309i | ||||
\(531\) | −25.7500 | + | 8.69551i | −1.11746 | + | 0.377353i | ||||
\(532\) | 6.85892 | − | 8.53846i | 0.297372 | − | 0.370189i | ||||
\(533\) | −16.0075 | + | 4.28919i | −0.693361 | + | 0.185786i | ||||
\(534\) | 5.58448 | − | 31.4855i | 0.241664 | − | 1.36251i | ||||
\(535\) | 16.6119 | + | 28.7727i | 0.718195 | + | 1.24395i | ||||
\(536\) | 12.2544 | + | 1.21499i | 0.529311 | + | 0.0524797i | ||||
\(537\) | −3.20464 | − | 1.71618i | −0.138290 | − | 0.0740585i | ||||
\(538\) | −8.24254 | − | 25.1993i | −0.355361 | − | 1.08642i | ||||
\(539\) | 16.7054 | − | 16.7054i | 0.719553 | − | 0.719553i | ||||
\(540\) | 12.5640 | − | 38.0215i | 0.540669 | − | 1.63618i | ||||
\(541\) | −18.7809 | − | 18.7809i | −0.807453 | − | 0.807453i | 0.176795 | − | 0.984248i | \(-0.443427\pi\) |
−0.984248 | + | 0.176795i | \(0.943427\pi\) | |||||||
\(542\) | −13.1801 | − | 6.68303i | −0.566136 | − | 0.287061i | ||||
\(543\) | −5.71123 | + | 10.6646i | −0.245092 | + | 0.457664i | ||||
\(544\) | −10.2266 | + | 10.4296i | −0.438464 | + | 0.447166i | ||||
\(545\) | 18.7135 | − | 10.8042i | 0.801598 | − | 0.462803i | ||||
\(546\) | −3.21825 | + | 2.24861i | −0.137728 | + | 0.0962315i | ||||
\(547\) | 4.00793 | + | 14.9578i | 0.171366 | + | 0.639548i | 0.997142 | + | 0.0755496i | \(0.0240711\pi\) |
−0.825776 | + | 0.563999i | \(0.809262\pi\) | |||||||
\(548\) | −3.21098 | + | 0.350252i | −0.137166 | + | 0.0149620i | ||||
\(549\) | −4.36675 | + | 4.96345i | −0.186368 | + | 0.211835i | ||||
\(550\) | −40.3301 | − | 36.1701i | −1.71968 | − | 1.54230i | ||||
\(551\) | −29.3533 | − | 16.9471i | −1.25049 | − | 0.721972i | ||||
\(552\) | −1.89135 | + | 2.82179i | −0.0805011 | + | 0.120103i | ||||
\(553\) | −9.16975 | + | 5.29416i | −0.389937 | + | 0.225130i | ||||
\(554\) | −22.4073 | − | 4.71680i | −0.951993 | − | 0.200398i | ||||
\(555\) | −14.5777 | − | 13.6752i | −0.618789 | − | 0.580479i | ||||
\(556\) | −7.34930 | + | 2.85432i | −0.311680 | + | 0.121050i | ||||
\(557\) | 31.8166 | − | 31.8166i | 1.34811 | − | 1.34811i | 0.460398 | − | 0.887712i | \(-0.347707\pi\) |
0.887712 | − | 0.460398i | \(-0.152293\pi\) | |||||||
\(558\) | −9.02792 | − | 12.0802i | −0.382182 | − | 0.511397i | ||||
\(559\) | 11.4656i | 0.484941i | ||||||||
\(560\) | −13.1683 | + | 6.84050i | −0.556463 | + | 0.289064i | ||||
\(561\) | 14.7820 | − | 9.17580i | 0.624096 | − | 0.387403i | ||||
\(562\) | 18.8121 | + | 28.8439i | 0.793541 | + | 1.21671i | ||||
\(563\) | 8.86755 | − | 33.0941i | 0.373723 | − | 1.39475i | −0.481480 | − | 0.876457i | \(-0.659900\pi\) |
0.855202 | − | 0.518294i | \(-0.173433\pi\) | |||||||
\(564\) | −18.4215 | + | 7.84026i | −0.775683 | + | 0.330134i | ||||
\(565\) | −6.37456 | − | 23.7902i | −0.268180 | − | 1.00086i | ||||
\(566\) | 9.26500 | + | 8.30934i | 0.389437 | + | 0.349267i | ||||
\(567\) | 5.25310 | + | 6.89105i | 0.220610 | + | 0.289397i | ||||
\(568\) | −4.31401 | − | 26.2356i | −0.181012 | − | 1.10082i | ||||
\(569\) | 2.54964 | − | 4.41610i | 0.106886 | − | 0.185133i | −0.807621 | − | 0.589702i | \(-0.799245\pi\) |
0.914507 | + | 0.404569i | \(0.132579\pi\) | |||||||
\(570\) | −50.4647 | + | 18.3100i | −2.11373 | + | 0.766923i | ||||
\(571\) | 1.79252 | − | 6.68977i | 0.0750146 | − | 0.279958i | −0.918222 | − | 0.396066i | \(-0.870375\pi\) |
0.993237 | + | 0.116108i | \(0.0370418\pi\) | |||||||
\(572\) | −7.65422 | − | 10.4485i | −0.320039 | − | 0.436875i | ||||
\(573\) | 3.00117 | − | 12.8254i | 0.125376 | − | 0.535788i | ||||
\(574\) | 6.12969 | − | 12.0889i | 0.255848 | − | 0.504579i | ||||
\(575\) | −6.82812 | −0.284752 | ||||||||
\(576\) | 14.6651 | − | 18.9983i | 0.611046 | − | 0.791595i | ||||
\(577\) | 18.2939 | 0.761585 | 0.380793 | − | 0.924660i | \(-0.375651\pi\) | ||||
0.380793 | + | 0.924660i | \(0.375651\pi\) | |||||||
\(578\) | −6.60825 | + | 13.0327i | −0.274867 | + | 0.542088i | ||||
\(579\) | −2.43568 | − | 2.28488i | −0.101223 | − | 0.0949564i | ||||
\(580\) | 27.1388 | + | 37.0462i | 1.12688 | + | 1.53826i | ||||
\(581\) | −2.26781 | + | 8.46359i | −0.0940847 | + | 0.351129i | ||||
\(582\) | −6.62036 | − | 5.56652i | −0.274423 | − | 0.230740i | ||||
\(583\) | 18.3774 | − | 31.8306i | 0.761114 | − | 1.31829i | ||||
\(584\) | −1.73400 | − | 10.5453i | −0.0717535 | − | 0.436368i | ||||
\(585\) | 19.2046 | − | 1.22820i | 0.794011 | − | 0.0507798i | ||||
\(586\) | −0.881442 | − | 0.790523i | −0.0364120 | − | 0.0326562i | ||||
\(587\) | 3.71035 | + | 13.8472i | 0.153143 | + | 0.571536i | 0.999257 | + | 0.0385349i | \(0.0122691\pi\) |
−0.846115 | + | 0.533001i | \(0.821064\pi\) | |||||||
\(588\) | −2.54387 | + | 20.8833i | −0.104907 | + | 0.861215i | ||||
\(589\) | −5.23280 | + | 19.5291i | −0.215614 | + | 0.804682i | ||||
\(590\) | −26.9688 | − | 41.3502i | −1.11029 | − | 1.70236i | ||||
\(591\) | 35.0003 | + | 18.7437i | 1.43972 | + | 0.771011i | ||||
\(592\) | −5.52243 | − | 10.6310i | −0.226970 | − | 0.436929i | ||||
\(593\) | 16.9058i | 0.694238i | 0.937821 | + | 0.347119i | \(0.112840\pi\) | ||||
−0.937821 | + | 0.347119i | \(0.887160\pi\) | |||||||
\(594\) | −22.3405 | + | 17.8351i | −0.916641 | + | 0.731785i | ||||
\(595\) | 6.77350 | − | 6.77350i | 0.277687 | − | 0.277687i | ||||
\(596\) | −8.32771 | + | 3.23432i | −0.341116 | + | 0.132483i | ||||
\(597\) | 10.8696 | − | 3.28785i | 0.444861 | − | 0.134563i | ||||
\(598\) | −1.59750 | − | 0.336279i | −0.0653265 | − | 0.0137515i | ||||
\(599\) | −18.4047 | + | 10.6260i | −0.751997 | + | 0.434166i | −0.826415 | − | 0.563062i | \(-0.809623\pi\) |
0.0744181 | + | 0.997227i | \(0.476290\pi\) | |||||||
\(600\) | 48.1329 | + | 3.22448i | 1.96502 | + | 0.131639i | ||||
\(601\) | 28.1475 | + | 16.2510i | 1.14816 | + | 0.662891i | 0.948438 | − | 0.316962i | \(-0.102663\pi\) |
0.199722 | + | 0.979853i | \(0.435996\pi\) | |||||||
\(602\) | −6.98115 | − | 6.26106i | −0.284530 | − | 0.255182i | ||||
\(603\) | 12.3750 | − | 4.17890i | 0.503948 | − | 0.170178i | ||||
\(604\) | −38.1856 | + | 4.16527i | −1.55375 | + | 0.169482i | ||||
\(605\) | 4.12190 | + | 15.3831i | 0.167579 | + | 0.625413i | ||||
\(606\) | 4.00682 | + | 46.3361i | 0.162766 | + | 1.88228i | ||||
\(607\) | −9.86566 | + | 5.69594i | −0.400435 | + | 0.231191i | −0.686672 | − | 0.726968i | \(-0.740929\pi\) |
0.286237 | + | 0.958159i | \(0.407596\pi\) | |||||||
\(608\) | −32.1736 | + | 0.316138i | −1.30481 | + | 0.0128211i | ||||
\(609\) | −9.93217 | + | 0.317275i | −0.402472 | + | 0.0128566i | ||||
\(610\) | −10.7101 | − | 5.43056i | −0.433638 | − | 0.219877i | ||||
\(611\) | −6.80326 | − | 6.80326i | −0.275230 | − | 0.275230i | ||||
\(612\) | −5.32824 | + | 14.5479i | −0.215381 | + | 0.588064i | ||||
\(613\) | 12.9149 | − | 12.9149i | 0.521630 | − | 0.521630i | −0.396434 | − | 0.918063i | \(-0.629752\pi\) |
0.918063 | + | 0.396434i | \(0.129752\pi\) | |||||||
\(614\) | −13.1562 | − | 40.2216i | −0.530943 | − | 1.62321i | ||||
\(615\) | −56.4466 | + | 35.0388i | −2.27615 | + | 1.41290i | ||||
\(616\) | 10.5417 | + | 1.04518i | 0.424736 | + | 0.0421115i | ||||
\(617\) | −5.36926 | − | 9.29983i | −0.216158 | − | 0.374397i | 0.737472 | − | 0.675378i | \(-0.236019\pi\) |
−0.953630 | + | 0.300981i | \(0.902686\pi\) | |||||||
\(618\) | 7.93901 | − | 2.88050i | 0.319354 | − | 0.115871i | ||||
\(619\) | 15.0898 | − | 4.04330i | 0.606510 | − | 0.162514i | 0.0575222 | − | 0.998344i | \(-0.481680\pi\) |
0.548988 | + | 0.835830i | \(0.315013\pi\) | |||||||
\(620\) | 17.1553 | − | 21.3561i | 0.688974 | − | 0.857683i | ||||
\(621\) | −0.595366 | + | 3.55355i | −0.0238912 | + | 0.142599i | ||||
\(622\) | 0.961645 | + | 17.6843i | 0.0385585 | + | 0.709075i | ||||
\(623\) | −6.28428 | + | 10.8847i | −0.251774 | + | 0.436086i | ||||
\(624\) | 11.1023 | + | 3.12490i | 0.444448 | + | 0.125096i | ||||
\(625\) | 11.3651 | + | 19.6849i | 0.454603 | + | 0.787396i | ||||
\(626\) | 38.5378 | − | 25.1346i | 1.54028 | − | 1.00458i | ||||
\(627\) | 37.3160 | + | 8.73202i | 1.49026 | + | 0.348723i | ||||
\(628\) | 35.1643 | − | 13.6571i | 1.40321 | − | 0.544979i | ||||
\(629\) | 5.46834 | + | 5.46834i | 0.218037 | + | 0.218037i | ||||
\(630\) | −9.73931 | + | 12.3640i | −0.388023 | + | 0.492592i | ||||
\(631\) | 39.5399 | 1.57406 | 0.787029 | − | 0.616916i | \(-0.211618\pi\) | ||||
0.787029 | + | 0.616916i | \(0.211618\pi\) | |||||||
\(632\) | 29.1054 | + | 10.9761i | 1.15775 | + | 0.436605i | ||||
\(633\) | −10.4604 | + | 0.334147i | −0.415762 | + | 0.0132812i | ||||
\(634\) | 19.2531 | + | 4.05284i | 0.764638 | + | 0.160959i | ||||
\(635\) | −11.4904 | − | 3.07884i | −0.455982 | − | 0.122180i | ||||
\(636\) | 4.58609 | + | 32.4067i | 0.181850 | + | 1.28501i | ||||
\(637\) | −9.76562 | + | 2.61669i | −0.386928 | + | 0.103677i | ||||
\(638\) | −1.78011 | − | 32.7355i | −0.0704751 | − | 1.29601i | ||||
\(639\) | −15.6303 | − | 23.4728i | −0.618326 | − | 0.928570i | ||||
\(640\) | 40.0652 | + | 17.1818i | 1.58372 | + | 0.679169i | ||||
\(641\) | −18.9744 | − | 10.9549i | −0.749445 | − | 0.432692i | 0.0760486 | − | 0.997104i | \(-0.475770\pi\) |
−0.825493 | + | 0.564412i | \(0.809103\pi\) | |||||||
\(642\) | 12.0968 | + | 17.3131i | 0.477421 | + | 0.683293i | ||||
\(643\) | −41.5536 | − | 11.1343i | −1.63871 | − | 0.439092i | −0.682292 | − | 0.731080i | \(-0.739017\pi\) |
−0.956422 | + | 0.291988i | \(0.905683\pi\) | |||||||
\(644\) | 1.07711 | − | 0.789050i | 0.0424439 | − | 0.0310929i | ||||
\(645\) | 13.3082 | + | 43.9964i | 0.524008 | + | 1.73236i | ||||
\(646\) | 19.7411 | − | 6.45719i | 0.776704 | − | 0.254055i | ||||
\(647\) | 31.4508i | 1.23646i | 0.785998 | + | 0.618229i | \(0.212149\pi\) | ||||
−0.785998 | + | 0.618229i | \(0.787851\pi\) | |||||||
\(648\) | 5.87498 | − | 24.7686i | 0.230791 | − | 0.973003i | ||||
\(649\) | 35.2428i | 1.38340i | ||||||||
\(650\) | 7.20730 | + | 22.0344i | 0.282694 | + | 0.864259i | ||||
\(651\) | 1.71620 | + | 5.67370i | 0.0672630 | + | 0.222370i | ||||
\(652\) | −28.6952 | − | 4.42934i | −1.12379 | − | 0.173466i | ||||
\(653\) | 38.0415 | + | 10.1932i | 1.48868 | + | 0.398891i | 0.909291 | − | 0.416160i | \(-0.136624\pi\) |
0.579389 | + | 0.815051i | \(0.303291\pi\) | |||||||
\(654\) | 11.2603 | − | 7.86763i | 0.440312 | − | 0.307649i | ||||
\(655\) | 17.5369 | + | 10.1249i | 0.685224 | + | 0.395614i | ||||
\(656\) | −38.8826 | + | 8.58475i | −1.51811 | + | 0.335178i | ||||
\(657\) | −6.28257 | − | 9.43483i | −0.245106 | − | 0.368088i | ||||
\(658\) | 7.85746 | − | 0.427277i | 0.306316 | − | 0.0166570i | ||||
\(659\) | −1.45690 | + | 0.390374i | −0.0567526 | + | 0.0152068i | −0.287084 | − | 0.957906i | \(-0.592686\pi\) |
0.230331 | + | 0.973112i | \(0.426019\pi\) | |||||||
\(660\) | −41.4990 | − | 31.2095i | −1.61535 | − | 1.21483i | ||||
\(661\) | −35.7396 | − | 9.57641i | −1.39011 | − | 0.372479i | −0.515328 | − | 0.856993i | \(-0.672330\pi\) |
−0.874783 | + | 0.484514i | \(0.838996\pi\) | |||||||
\(662\) | 1.59669 | − | 7.58512i | 0.0620573 | − | 0.294804i | ||||
\(663\) | −7.44166 | + | 0.237717i | −0.289010 | + | 0.00923218i | ||||
\(664\) | 23.4538 | − | 10.6084i | 0.910182 | − | 0.411686i | ||||
\(665\) | 21.1004 | 0.818240 | ||||||||
\(666\) | −9.98159 | − | 7.86267i | −0.386779 | − | 0.304672i | ||||
\(667\) | −2.92185 | − | 2.92185i | −0.113134 | − | 0.113134i | ||||
\(668\) | 10.5554 | + | 4.64996i | 0.408402 | + | 0.179912i | ||||
\(669\) | −8.78329 | − | 2.05531i | −0.339582 | − | 0.0794628i | ||||
\(670\) | 12.9607 | + | 19.8721i | 0.500716 | + | 0.767727i | ||||
\(671\) | 4.28623 | + | 7.42397i | 0.165468 | + | 0.286599i | ||||
\(672\) | −7.96539 | + | 5.05355i | −0.307271 | + | 0.194945i | ||||
\(673\) | 1.54334 | − | 2.67314i | 0.0594912 | − | 0.103042i | −0.834746 | − | 0.550635i | \(-0.814386\pi\) |
0.894237 | + | 0.447594i | \(0.147719\pi\) | |||||||
\(674\) | 12.5483 | − | 0.682355i | 0.483341 | − | 0.0262833i | ||||
\(675\) | 47.9303 | − | 17.9098i | 1.84484 | − | 0.689350i | ||||
\(676\) | −2.21831 | − | 20.3366i | −0.0853196 | − | 0.782177i | ||||
\(677\) | −39.8275 | + | 10.6718i | −1.53070 | + | 0.410149i | −0.923246 | − | 0.384209i | \(-0.874474\pi\) |
−0.607450 | + | 0.794358i | \(0.707807\pi\) | |||||||
\(678\) | −5.34017 | − | 14.7182i | −0.205088 | − | 0.565247i | ||||
\(679\) | 1.69986 | + | 2.94425i | 0.0652348 | + | 0.112990i | ||||
\(680\) | −28.0043 | − | 2.77655i | −1.07392 | − | 0.106476i | ||||
\(681\) | 9.57653 | − | 5.94456i | 0.366974 | − | 0.227796i | ||||
\(682\) | −18.5866 | + | 6.07956i | −0.711718 | + | 0.232798i | ||||
\(683\) | −15.0423 | + | 15.0423i | −0.575578 | + | 0.575578i | −0.933682 | − | 0.358104i | \(-0.883423\pi\) |
0.358104 | + | 0.933682i | \(0.383423\pi\) | |||||||
\(684\) | −30.9585 | + | 14.3603i | −1.18373 | + | 0.549078i | ||||
\(685\) | −4.40030 | − | 4.40030i | −0.168127 | − | 0.168127i | ||||
\(686\) | 8.04979 | − | 15.8757i | 0.307343 | − | 0.606135i | ||||
\(687\) | −7.16039 | + | 0.228732i | −0.273186 | + | 0.00872668i | ||||
\(688\) | −1.22551 | + | 27.5218i | −0.0467221 | + | 1.04926i | ||||
\(689\) | −13.6216 | + | 7.86444i | −0.518942 | + | 0.299611i | ||||
\(690\) | −6.52035 | + | 0.563833i | −0.248225 | + | 0.0214648i | ||||
\(691\) | 11.3628 | + | 42.4064i | 0.432260 | + | 1.61321i | 0.747540 | + | 0.664216i | \(0.231235\pi\) |
−0.315281 | + | 0.948998i | \(0.602099\pi\) | |||||||
\(692\) | 9.99000 | − | 12.4363i | 0.379763 | − | 0.472755i | ||||
\(693\) | 10.6454 | − | 3.59483i | 0.404384 | − | 0.136556i | ||||
\(694\) | 12.9796 | − | 14.4724i | 0.492698 | − | 0.549364i | ||||
\(695\) | −13.1545 | − | 7.59476i | −0.498979 | − | 0.288086i | ||||
\(696\) | 19.2170 | + | 21.9766i | 0.728417 | + | 0.833019i | ||||
\(697\) | 22.2610 | − | 12.8524i | 0.843195 | − | 0.486819i | ||||
\(698\) | 4.69247 | − | 22.2917i | 0.177613 | − | 0.843752i | ||||
\(699\) | 28.5448 | − | 8.63430i | 1.07966 | − | 0.326579i | ||||
\(700\) | −17.3520 | − | 7.64404i | −0.655844 | − | 0.288918i | ||||
\(701\) | −7.87056 | + | 7.87056i | −0.297267 | + | 0.297267i | −0.839942 | − | 0.542676i | \(-0.817411\pi\) |
0.542676 | + | 0.839942i | \(0.317411\pi\) | |||||||
\(702\) | 12.0957 | − | 1.82964i | 0.456524 | − | 0.0690552i | ||||
\(703\) | 17.0347i | 0.642474i | ||||||||
\(704\) | −17.2563 | − | 25.8987i | −0.650372 | − | 0.976093i | ||||
\(705\) | −34.0025 | − | 18.2094i | −1.28061 | − | 0.685804i | ||||
\(706\) | 10.5618 | − | 6.88845i | 0.397498 | − | 0.259250i | ||||
\(707\) | 4.73132 | − | 17.6575i | 0.177940 | − | 0.664080i | ||||
\(708\) | −19.3450 | − | 24.7117i | −0.727031 | − | 0.928724i | ||||
\(709\) | −7.49458 | − | 27.9701i | −0.281465 | − | 1.05044i | −0.951384 | − | 0.308007i | \(-0.900338\pi\) |
0.669919 | − | 0.742434i | \(-0.266329\pi\) | |||||||
\(710\) | 34.2008 | − | 38.1343i | 1.28353 | − | 1.43115i | ||||
\(711\) | 32.9259 | − | 2.10573i | 1.23482 | − | 0.0789709i | ||||
\(712\) | 36.4345 | − | 5.99105i | 1.36544 | − | 0.224524i | ||||
\(713\) | −1.23241 | + | 2.13459i | −0.0461540 | + | 0.0799411i | ||||
\(714\) | 3.91897 | − | 4.66089i | 0.146664 | − | 0.174430i | ||||
\(715\) | 6.45848 | − | 24.1034i | 0.241533 | − | 0.901414i | ||||
\(716\) | 0.640352 | − | 4.14848i | 0.0239311 | − | 0.155036i | ||||
\(717\) | −11.3506 | − | 10.6479i | −0.423895 | − | 0.397651i | ||||
\(718\) | −25.6257 | − | 12.9936i | −0.956344 | − | 0.484917i | ||||
\(719\) | 0.674555 | 0.0251567 | 0.0125783 | − | 0.999921i | \(-0.495996\pi\) | ||||
0.0125783 | + | 0.999921i | \(0.495996\pi\) | |||||||
\(720\) | 46.2297 | − | 0.895452i | 1.72288 | − | 0.0333715i | ||||
\(721\) | −3.31948 | −0.123624 | ||||||||
\(722\) | 16.8404 | + | 8.53897i | 0.626735 | + | 0.317788i | ||||
\(723\) | −0.442641 | + | 1.89161i | −0.0164620 | + | 0.0703498i | ||||
\(724\) | −13.8056 | − | 2.13101i | −0.513083 | − | 0.0791985i | ||||
\(725\) | −15.1875 | + | 56.6805i | −0.564049 | + | 2.10506i | ||||
\(726\) | 3.45305 | + | 9.51701i | 0.128155 | + | 0.353209i | ||||
\(727\) | −1.32251 | + | 2.29066i | −0.0490493 | + | 0.0849559i | −0.889508 | − | 0.456920i | \(-0.848952\pi\) |
0.840458 | + | 0.541876i | \(0.182286\pi\) | |||||||
\(728\) | −3.68319 | − | 2.64296i | −0.136508 | − | 0.0979546i | ||||
\(729\) | −5.14160 | − | 26.5059i | −0.190430 | − | 0.981701i | ||||
\(730\) | 13.7469 | − | 15.3280i | 0.508796 | − | 0.567313i | ||||
\(731\) | −4.60284 | − | 17.1780i | −0.170242 | − | 0.635352i | ||||
\(732\) | −7.08052 | − | 2.85284i | −0.261704 | − | 0.105444i | ||||
\(733\) | 5.34335 | − | 19.9416i | 0.197361 | − | 0.736562i | −0.794282 | − | 0.607549i | \(-0.792153\pi\) |
0.991643 | − | 0.129012i | \(-0.0411806\pi\) | |||||||
\(734\) | 28.5350 | − | 18.6107i | 1.05325 | − | 0.686932i | ||||
\(735\) | −34.4361 | + | 21.3760i | −1.27020 | + | 0.788465i | ||||
\(736\) | −3.79867 | − | 0.977950i | −0.140021 | − | 0.0360477i | ||||
\(737\) | − | 16.9370i | − | 0.623883i | ||||||
\(738\) | −33.8309 | + | 25.2829i | −1.24533 | + | 0.930675i | ||||
\(739\) | −27.6094 | + | 27.6094i | −1.01563 | + | 1.01563i | −0.0157506 | + | 0.999876i | \(0.505014\pi\) |
−0.999876 | + | 0.0157506i | \(0.994986\pi\) | |||||||
\(740\) | 9.30460 | − | 21.1215i | 0.342044 | − | 0.776442i | ||||
\(741\) | −11.9612 | − | 11.2207i | −0.439405 | − | 0.412201i | ||||
\(742\) | 2.64992 | − | 12.5885i | 0.0972818 | − | 0.462139i | ||||
\(743\) | 16.4755 | − | 9.51215i | 0.604429 | − | 0.348967i | −0.166353 | − | 0.986066i | \(-0.553199\pi\) |
0.770782 | + | 0.637099i | \(0.219866\pi\) | |||||||
\(744\) | 9.69555 | − | 14.4652i | 0.355456 | − | 0.530321i | ||||
\(745\) | −14.9058 | − | 8.60585i | −0.546105 | − | 0.315294i | ||||
\(746\) | 25.7517 | − | 28.7135i | 0.942838 | − | 1.05127i | ||||
\(747\) | 18.0345 | − | 20.4988i | 0.659847 | − | 0.750013i | ||||
\(748\) | 15.6623 | + | 12.5815i | 0.572672 | + | 0.460025i | ||||
\(749\) | −2.14857 | − | 8.01857i | −0.0785070 | − | 0.292992i | ||||
\(750\) | 26.2027 | + | 37.5017i | 0.956787 | + | 1.36937i | ||||
\(751\) | 30.5334 | − | 17.6285i | 1.11418 | − | 0.643273i | 0.174272 | − | 0.984698i | \(-0.444243\pi\) |
0.939909 | + | 0.341425i | \(0.110909\pi\) | |||||||
\(752\) | −15.6033 | − | 17.0576i | −0.568994 | − | 0.622028i | ||||
\(753\) | −0.808626 | + | 1.50996i | −0.0294680 | + | 0.0550259i | ||||
\(754\) | −6.34471 | + | 12.5129i | −0.231061 | + | 0.455693i | ||||
\(755\) | −52.3292 | − | 52.3292i | −1.90446 | − | 1.90446i | ||||
\(756\) | −5.49116 | + | 8.36398i | −0.199711 | + | 0.304195i | ||||
\(757\) | 24.8190 | − | 24.8190i | 0.902061 | − | 0.902061i | −0.0935534 | − | 0.995614i | \(-0.529823\pi\) |
0.995614 | + | 0.0935534i | \(0.0298226\pi\) | |||||||
\(758\) | −50.2773 | + | 16.4454i | −1.82615 | + | 0.597323i | ||||
\(759\) | 4.11872 | + | 2.20570i | 0.149500 | + | 0.0800618i | ||||
\(760\) | −39.2940 | − | 47.9434i | −1.42534 | − | 1.73909i | ||||
\(761\) | 2.73041 | + | 4.72921i | 0.0989774 | + | 0.171434i | 0.911262 | − | 0.411828i | \(-0.135110\pi\) |
−0.812284 | + | 0.583262i | \(0.801776\pi\) | |||||||
\(762\) | −7.44594 | − | 1.32066i | −0.269738 | − | 0.0478425i | ||||
\(763\) | −5.21521 | + | 1.39741i | −0.188803 | + | 0.0505897i | ||||
\(764\) | 15.1199 | − | 1.64927i | 0.547017 | − | 0.0596684i | ||||
\(765\) | −28.2798 | + | 9.54978i | −1.02246 | + | 0.345273i | ||||
\(766\) | −40.2077 | + | 2.18644i | −1.45276 | + | 0.0789992i | ||||
\(767\) | 7.54091 | − | 13.0612i | 0.272286 | − | 0.471614i | ||||
\(768\) | 26.3159 | + | 8.68766i | 0.949592 | + | 0.313489i | ||||
\(769\) | 14.4745 | + | 25.0706i | 0.521964 | + | 0.904068i | 0.999674 | + | 0.0255501i | \(0.00813372\pi\) |
−0.477710 | + | 0.878518i | \(0.658533\pi\) | |||||||
\(770\) | 11.1492 | + | 17.0947i | 0.401791 | + | 0.616050i | ||||
\(771\) | −7.93608 | + | 8.45983i | −0.285811 | + | 0.304673i | ||||
\(772\) | 1.55463 | − | 3.52903i | 0.0559525 | − | 0.127013i | ||||
\(773\) | 11.3458 | + | 11.3458i | 0.408079 | + | 0.408079i | 0.881068 | − | 0.472989i | \(-0.156825\pi\) |
−0.472989 | + | 0.881068i | \(0.656825\pi\) | |||||||
\(774\) | 10.8381 | + | 27.1359i | 0.389568 | + | 0.975378i | ||||
\(775\) | 35.0027 | 1.25733 | ||||||||
\(776\) | 3.52423 | − | 9.34524i | 0.126513 | − | 0.335475i | ||||
\(777\) | 2.63396 | + | 4.24324i | 0.0944928 | + | 0.152225i | ||||
\(778\) | −5.85522 | + | 27.8153i | −0.209920 | + | 0.997226i | ||||
\(779\) | 54.6916 | + | 14.6546i | 1.95953 | + | 0.525054i | ||||
\(780\) | 8.70193 | + | 20.4460i | 0.311579 | + | 0.732086i | ||||
\(781\) | −35.3221 | + | 9.46454i | −1.26393 | + | 0.338668i | ||||
\(782\) | 2.52841 | − | 0.137491i | 0.0904159 | − | 0.00491668i | ||||
\(783\) | 28.1739 | + | 12.8462i | 1.00685 | + | 0.459085i | ||||
\(784\) | −23.7210 | + | 5.23726i | −0.847178 | + | 0.187045i | ||||
\(785\) | 62.9406 | + | 36.3388i | 2.24645 | + | 1.29699i | ||||
\(786\) | 11.6613 | + | 5.45209i | 0.415946 | + | 0.194470i | ||||
\(787\) | 25.6596 | + | 6.87546i | 0.914665 | + | 0.245084i | 0.685304 | − | 0.728257i | \(-0.259669\pi\) |
0.229362 | + | 0.973341i | \(0.426336\pi\) | |||||||
\(788\) | −6.99376 | + | 45.3087i | −0.249142 | + | 1.61406i | ||||
\(789\) | −23.7803 | − | 5.56464i | −0.846601 | − | 0.198106i | ||||
\(790\) | 18.6311 | + | 56.9595i | 0.662865 | + | 2.02653i | ||||
\(791\) | 6.15400i | 0.218811i | ||||||||
\(792\) | −27.9922 | − | 17.4935i | −0.994660 | − | 0.621603i | ||||
\(793\) | − | 3.66851i | − | 0.130272i | ||||||
\(794\) | −11.3121 | + | 3.70012i | −0.401451 | + | 0.131312i | ||||
\(795\) | −43.1415 | + | 45.9887i | −1.53007 | + | 1.63105i | ||||
\(796\) | 7.74909 | + | 10.5780i | 0.274659 | + | 0.374928i | ||||
\(797\) | 20.8451 | + | 5.58542i | 0.738371 | + | 0.197846i | 0.608354 | − | 0.793666i | \(-0.291830\pi\) |
0.130017 | + | 0.991512i | \(0.458497\pi\) | |||||||
\(798\) | 13.3637 | − | 1.15560i | 0.473072 | − | 0.0409078i | ||||
\(799\) | 12.9240 | + | 7.46168i | 0.457218 | + | 0.263975i | ||||
\(800\) | 14.9452 | + | 53.6614i | 0.528391 | + | 1.89722i | ||||
\(801\) | 32.5977 | − | 21.7065i | 1.15178 | − | 0.766963i | ||||
\(802\) | −0.365238 | − | 6.71658i | −0.0128970 | − | 0.237171i | ||||
\(803\) | −14.1976 | + | 3.80424i | −0.501024 | + | 0.134249i | ||||
\(804\) | 9.29686 | + | 11.8760i | 0.327875 | + | 0.418834i | ||||
\(805\) | 2.48474 | + | 0.665784i | 0.0875756 | + | 0.0234658i | ||||
\(806\) | 8.18918 | + | 1.72385i | 0.288452 | + | 0.0607201i | ||||
\(807\) | 15.3298 | − | 28.6254i | 0.539633 | − | 1.00766i | ||||
\(808\) | −48.9314 | + | 22.1322i | −1.72140 | + | 0.778610i | ||||
\(809\) | −36.1898 | −1.27236 | −0.636182 | − | 0.771539i | \(-0.719487\pi\) | ||||
−0.636182 | + | 0.771539i | \(0.719487\pi\) | |||||||
\(810\) | 44.2910 | − | 21.0604i | 1.55623 | − | 0.739988i | ||||
\(811\) | 17.4150 | + | 17.4150i | 0.611523 | + | 0.611523i | 0.943343 | − | 0.331820i | \(-0.107663\pi\) |
−0.331820 | + | 0.943343i | \(0.607663\pi\) | |||||||
\(812\) | −4.15418 | − | 10.6962i | −0.145783 | − | 0.375362i | ||||
\(813\) | −5.24011 | − | 17.3237i | −0.183779 | − | 0.607568i | ||||
\(814\) | −13.8008 | + | 9.00093i | −0.483716 | + | 0.315482i | ||||
\(815\) | −27.9694 | − | 48.4445i | −0.979727 | − | 1.69694i | ||||
\(816\) | −17.8883 | − | 0.224797i | −0.626216 | − | 0.00786948i | ||||
\(817\) | 19.5868 | − | 33.9253i | 0.685254 | − | 1.18689i | ||||
\(818\) | 0.642742 | + | 11.8198i | 0.0224730 | + | 0.413269i | ||||
\(819\) | −4.71445 | − | 0.945524i | −0.164736 | − | 0.0330393i | ||||
\(820\) | −59.8083 | − | 48.0438i | −2.08860 | − | 1.67776i | ||||
\(821\) | 33.8975 | − | 9.08280i | 1.18303 | − | 0.316992i | 0.386902 | − | 0.922121i | \(-0.373545\pi\) |
0.796127 | + | 0.605129i | \(0.206878\pi\) | |||||||
\(822\) | −3.02787 | − | 2.54589i | −0.105609 | − | 0.0887983i | ||||
\(823\) | −19.3027 | − | 33.4332i | −0.672849 | − | 1.16541i | −0.977093 | − | 0.212815i | \(-0.931737\pi\) |
0.304244 | − | 0.952594i | \(-0.401596\pi\) | |||||||
\(824\) | 6.18166 | + | 7.54236i | 0.215348 | + | 0.262751i | ||||
\(825\) | −2.11838 | − | 66.3152i | −0.0737525 | − | 2.30880i | ||||
\(826\) | 3.83482 | + | 11.7239i | 0.133431 | + | 0.407928i | ||||
\(827\) | −39.6335 | + | 39.6335i | −1.37819 | + | 1.37819i | −0.530517 | + | 0.847674i | \(0.678002\pi\) |
−0.847674 | + | 0.530517i | \(0.821998\pi\) | |||||||
\(828\) | −4.09872 | + | 0.714196i | −0.142440 | + | 0.0248200i | ||||
\(829\) | −20.5229 | − | 20.5229i | −0.712789 | − | 0.712789i | 0.254329 | − | 0.967118i | \(-0.418145\pi\) |
−0.967118 | + | 0.254329i | \(0.918145\pi\) | |||||||
\(830\) | 44.2321 | + | 22.4280i | 1.53532 | + | 0.778486i | ||||
\(831\) | −14.7906 | − | 23.8273i | −0.513080 | − | 0.826558i | ||||
\(832\) | 0.853772 | + | 13.2906i | 0.0295992 | + | 0.460768i | ||||
\(833\) | 13.5807 | − | 7.84080i | 0.470542 | − | 0.271668i | ||||
\(834\) | −8.74722 | − | 4.08964i | −0.302891 | − | 0.141613i | ||||
\(835\) | 5.75145 | + | 21.4647i | 0.199037 | + | 0.742817i | ||||
\(836\) | 4.79861 | + | 43.9918i | 0.165963 | + | 1.52149i | ||||
\(837\) | 3.05200 | − | 18.2164i | 0.105493 | − | 0.629651i | ||||
\(838\) | 33.7264 | + | 30.2476i | 1.16506 | + | 1.04489i | ||||
\(839\) | −4.64087 | − | 2.67941i | −0.160221 | − | 0.0925035i | 0.417746 | − | 0.908564i | \(-0.362820\pi\) |
−0.577967 | + | 0.816060i | \(0.696154\pi\) | |||||||
\(840\) | −17.2011 | − | 5.86665i | −0.593494 | − | 0.202419i | ||||
\(841\) | −5.63857 | + | 3.25543i | −0.194433 | + | 0.112256i | ||||
\(842\) | −41.4121 | − | 8.71740i | −1.42716 | − | 0.300421i | ||||
\(843\) | −9.60963 | + | 41.0664i | −0.330973 | + | 1.41440i | ||||
\(844\) | −4.37510 | − | 11.2650i | −0.150597 | − | 0.387757i | ||||
\(845\) | 27.8691 | − | 27.8691i | 0.958726 | − | 0.958726i | ||||
\(846\) | −22.5324 | − | 9.67051i | −0.774681 | − | 0.332479i | ||||
\(847\) | − | 3.97928i | − | 0.136730i | ||||||
\(848\) | −33.5378 | + | 17.4218i | −1.15169 | + | 0.598266i | ||||
\(849\) | 0.486654 | + | 15.2345i | 0.0167019 | + | 0.522848i | ||||
\(850\) | −19.6439 | − | 30.1192i | −0.673779 | − | 1.03308i | ||||
\(851\) | −0.537496 | + | 2.00596i | −0.0184251 | + | 0.0687636i | ||||
\(852\) | 19.5722 | − | 26.0250i | 0.670534 | − | 0.891602i | ||||
\(853\) | 14.2790 | + | 53.2899i | 0.488903 | + | 1.82461i | 0.561803 | + | 0.827271i | \(0.310108\pi\) |
−0.0729001 | + | 0.997339i | \(0.523225\pi\) | |||||||
\(854\) | 2.23368 | + | 2.00328i | 0.0764350 | + | 0.0685509i | ||||
\(855\) | −58.9222 | − | 29.1733i | −2.01510 | − | 0.997706i | ||||
\(856\) | −14.2182 | + | 19.8143i | −0.485970 | + | 0.677240i | ||||
\(857\) | −16.8544 | + | 29.1927i | −0.575737 | + | 0.997205i | 0.420224 | + | 0.907420i | \(0.361951\pi\) |
−0.995961 | + | 0.0897851i | \(0.971382\pi\) | |||||||
\(858\) | 2.77035 | − | 15.6193i | 0.0945781 | − | 0.533235i | ||||
\(859\) | 14.1550 | − | 52.8271i | 0.482962 | − | 1.80244i | −0.106107 | − | 0.994355i | \(-0.533839\pi\) |
0.589069 | − | 0.808083i | \(-0.299495\pi\) | |||||||
\(860\) | −42.8164 | + | 31.3658i | −1.46003 | + | 1.06956i | ||||
\(861\) | 15.8893 | − | 4.80624i | 0.541507 | − | 0.163796i | ||||
\(862\) | −6.64400 | + | 13.1032i | −0.226295 | + | 0.446296i | ||||
\(863\) | −28.6860 | −0.976481 | −0.488241 | − | 0.872709i | \(-0.662361\pi\) | ||||
−0.488241 | + | 0.872709i | \(0.662361\pi\) | |||||||
\(864\) | 29.2301 | − | 3.09897i | 0.994427 | − | 0.105429i | ||||
\(865\) | 30.7327 | 1.04494 | ||||||||
\(866\) | 2.12251 | − | 4.18597i | 0.0721257 | − | 0.142245i | ||||
\(867\) | −17.1298 | + | 5.18148i | −0.581760 | + | 0.175972i | ||||
\(868\) | −5.52153 | + | 4.04488i | −0.187413 | + | 0.137292i | ||||
\(869\) | 11.0729 | − | 41.3248i | 0.375624 | − | 1.40185i | ||||
\(870\) | −9.82253 | + | 55.3798i | −0.333015 | + | 1.87755i | ||||
\(871\) | −3.62402 | + | 6.27698i | −0.122795 | + | 0.212688i | ||||
\(872\) | 12.8871 | + | 9.24743i | 0.436412 | + | 0.313157i | ||||
\(873\) | −0.676113 | − | 10.5719i | −0.0228829 | − | 0.357806i | ||||
\(874\) | 4.15234 | + | 3.72403i | 0.140455 | + | 0.125967i | ||||
\(875\) | −4.65399 | − | 17.3689i | −0.157334 | − | 0.587177i | ||||
\(876\) | 7.86700 | − | 10.4607i | 0.265801 | − | 0.353433i | ||||
\(877\) | −1.37118 | + | 5.11731i | −0.0463014 | + | 0.172799i | −0.985205 | − | 0.171382i | \(-0.945177\pi\) |
0.938903 | + | 0.344181i | \(0.111843\pi\) | |||||||
\(878\) | 24.5083 | + | 37.5776i | 0.827115 | + | 1.26818i | ||||
\(879\) | −0.0462987 | − | 1.44936i | −0.00156162 | − | 0.0488858i | ||||
\(880\) | 18.0792 | − | 57.1671i | 0.609449 | − | 1.92710i | ||||
\(881\) | 33.4396i | 1.12661i | 0.826249 | + | 0.563305i | \(0.190470\pi\) | ||||
−0.826249 | + | 0.563305i | \(0.809530\pi\) | |||||||
\(882\) | −20.6391 | + | 15.4242i | −0.694954 | + | 0.519360i | ||||
\(883\) | −26.9753 | + | 26.9753i | −0.907790 | + | 0.907790i | −0.996094 | − | 0.0883036i | \(-0.971855\pi\) |
0.0883036 | + | 0.996094i | \(0.471855\pi\) | |||||||
\(884\) | −3.11251 | − | 8.01408i | −0.104685 | − | 0.269543i | ||||
\(885\) | 13.7762 | − | 58.8723i | 0.463083 | − | 1.97897i | ||||
\(886\) | −18.4301 | − | 3.87959i | −0.619170 | − | 0.130338i | ||||
\(887\) | −49.0505 | + | 28.3193i | −1.64695 | + | 0.950869i | −0.668680 | + | 0.743550i | \(0.733140\pi\) |
−0.978274 | + | 0.207318i | \(0.933526\pi\) | |||||||
\(888\) | 4.73622 | − | 13.8867i | 0.158937 | − | 0.466006i | ||||
\(889\) | 2.57410 | + | 1.48616i | 0.0863325 | + | 0.0498441i | ||||
\(890\) | 52.9587 | + | 47.4962i | 1.77518 | + | 1.59207i | ||||
\(891\) | −34.6970 | − | 4.67977i | −1.16239 | − | 0.156778i | ||||
\(892\) | −1.12948 | − | 10.3546i | −0.0378177 | − | 0.346698i | ||||
\(893\) | 8.50797 | + | 31.7522i | 0.284708 | + | 1.06255i | ||||
\(894\) | −9.91174 | − | 4.63409i | −0.331498 | − | 0.154987i | ||||
\(895\) | 7.00364 | − | 4.04356i | 0.234106 | − | 0.135161i | ||||
\(896\) | −8.55859 | − | 6.73781i | −0.285923 | − | 0.225095i | ||||
\(897\) | −1.05448 | − | 1.69873i | −0.0352079 | − | 0.0567191i | ||||
\(898\) | −16.4704 | − | 8.35137i | −0.549625 | − | 0.278689i | ||||
\(899\) | 14.9781 | + | 14.9781i | 0.499549 | + | 0.499549i | ||||
\(900\) | 37.8863 | + | 45.3365i | 1.26288 | + | 1.51122i | ||||
\(901\) | 17.2511 | − | 17.2511i | 0.574718 | − | 0.574718i | ||||
\(902\) | 17.0259 | + | 52.0521i | 0.566901 | + | 1.73315i | ||||
\(903\) | −0.366692 | − | 11.4792i | −0.0122028 | − | 0.382003i | ||||
\(904\) | 13.9828 | − | 11.4602i | 0.465062 | − | 0.381161i | ||||
\(905\) | −13.4565 | − | 23.3073i | −0.447308 | − | 0.774760i | ||||
\(906\) | −36.0081 | − | 30.2763i | −1.19629 | − | 1.00586i | ||||
\(907\) | 9.71055 | − | 2.60194i | 0.322434 | − | 0.0863958i | −0.0939718 | − | 0.995575i | \(-0.529956\pi\) |
0.416405 | + | 0.909179i | \(0.363290\pi\) | |||||||
\(908\) | 10.1469 | + | 8.15095i | 0.336736 | + | 0.270499i | ||||
\(909\) | −37.6252 | + | 42.7666i | −1.24795 | + | 1.41848i | ||||
\(910\) | −0.474237 | − | 8.72103i | −0.0157208 | − | 0.289099i | ||||
\(911\) | −23.4920 | + | 40.6893i | −0.778325 | + | 1.34810i | 0.154582 | + | 0.987980i | \(0.450597\pi\) |
−0.932907 | + | 0.360118i | \(0.882737\pi\) | |||||||
\(912\) | −27.5122 | − | 28.2124i | −0.911019 | − | 0.934207i | ||||
\(913\) | −17.7019 | − | 30.6607i | −0.585849 | − | 1.01472i | ||||
\(914\) | 13.7396 | − | 8.96105i | 0.454466 | − | 0.296405i | ||||
\(915\) | −4.25806 | − | 14.0771i | −0.140767 | − | 0.465373i | ||||
\(916\) | −2.99486 | − | 7.71117i | −0.0989531 | − | 0.254784i | ||||
\(917\) | −3.57776 | − | 3.57776i | −0.118148 | − | 0.118148i | ||||
\(918\) | −17.3877 | + | 7.59705i | −0.573879 | + | 0.250740i | ||||
\(919\) | −49.8848 | −1.64555 | −0.822774 | − | 0.568369i | \(-0.807575\pi\) | ||||
−0.822774 | + | 0.568369i | \(0.807575\pi\) | |||||||
\(920\) | −3.11442 | − | 6.88556i | −0.102679 | − | 0.227010i | ||||
\(921\) | 24.4684 | − | 45.6902i | 0.806262 | − | 1.50554i | ||||
\(922\) | 19.0689 | + | 4.01408i | 0.628002 | + | 0.132197i | ||||
\(923\) | 15.1158 | + | 4.05026i | 0.497542 | + | 0.133316i | ||||
\(924\) | 7.99748 | + | 10.2161i | 0.263098 | + | 0.336086i | ||||
\(925\) | 28.4866 | − | 7.63296i | 0.936634 | − | 0.250970i | ||||
\(926\) | −1.01885 | − | 18.7363i | −0.0334815 | − | 0.615712i | ||||
\(927\) | 9.26953 | + | 4.58949i | 0.304451 | + | 0.150739i | ||||
\(928\) | −16.5672 | + | 29.3577i | −0.543846 | + | 0.963714i | ||||
\(929\) | −29.2209 | − | 16.8707i | −0.958707 | − | 0.553510i | −0.0629322 | − | 0.998018i | \(-0.520045\pi\) |
−0.895775 | + | 0.444508i | \(0.853379\pi\) | |||||||
\(930\) | 33.4250 | − | 2.89036i | 1.09605 | − | 0.0947785i | ||||
\(931\) | 33.3655 | + | 8.94026i | 1.09351 | + | 0.293005i | ||||
\(932\) | 20.3501 | + | 27.7792i | 0.666588 | + | 0.909938i | ||||
\(933\) | −14.8401 | + | 15.8195i | −0.485845 | + | 0.517909i | ||||
\(934\) | −53.5257 | + | 17.5079i | −1.75141 | + | 0.572876i | ||||
\(935\) | 38.7051i | 1.26579i | ||||||||
\(936\) | 6.63104 | + | 12.4727i | 0.216742 | + | 0.407684i | ||||
\(937\) | − | 16.7455i | − | 0.547052i | −0.961865 | − | 0.273526i | \(-0.911810\pi\) | ||
0.961865 | − | 0.273526i | \(-0.0881899\pi\) | |||||||
\(938\) | −1.84294 | − | 5.63430i | −0.0601742 | − | 0.183966i | ||||
\(939\) | 54.8682 | + | 12.8393i | 1.79056 | + | 0.418994i | ||||
\(940\) | 6.79440 | − | 44.0171i | 0.221609 | − | 1.43568i | ||||
\(941\) | −5.62151 | − | 1.50628i | −0.183256 | − | 0.0491033i | 0.166024 | − | 0.986122i | \(-0.446907\pi\) |
−0.349280 | + | 0.937018i | \(0.613574\pi\) | |||||||
\(942\) | 41.8530 | + | 19.5678i | 1.36364 | + | 0.637552i | ||||
\(943\) | 5.97797 | + | 3.45138i | 0.194669 | + | 0.112392i | ||||
\(944\) | 19.4972 | − | 30.5460i | 0.634579 | − | 0.994189i | ||||
\(945\) | −19.1881 | + | 1.84386i | −0.624188 | + | 0.0599807i | ||||
\(946\) | 37.8343 | − | 2.05737i | 1.23010 | − | 0.0668909i | ||||
\(947\) | 6.46641 | − | 1.73267i | 0.210130 | − | 0.0563042i | −0.152218 | − | 0.988347i | \(-0.548642\pi\) |
0.362348 | + | 0.932043i | \(0.381975\pi\) | |||||||
\(948\) | 14.9193 | + | 35.0544i | 0.484557 | + | 1.13851i | ||||
\(949\) | 6.07575 | + | 1.62799i | 0.197227 | + | 0.0528468i | ||||
\(950\) | 16.3160 | − | 77.5095i | 0.529362 | − | 2.51474i | ||||
\(951\) | 12.7086 | + | 20.4732i | 0.412104 | + | 0.663889i | ||||
\(952\) | 6.57928 | + | 2.48114i | 0.213236 | + | 0.0804144i | ||||
\(953\) | −0.390160 | −0.0126385 | −0.00631925 | − | 0.999980i | \(-0.502011\pi\) | ||||
−0.00631925 | + | 0.999980i | \(0.502011\pi\) | |||||||
\(954\) | −24.8046 | + | 31.4892i | −0.803078 | + | 1.01950i | ||||
\(955\) | 20.7201 | + | 20.7201i | 0.670487 | + | 0.670487i | ||||
\(956\) | 7.24480 | − | 16.4457i | 0.234314 | − | 0.531893i | ||||
\(957\) | 27.4707 | − | 29.2837i | 0.888001 | − | 0.946606i | ||||
\(958\) | 5.25558 | + | 8.05817i | 0.169800 | + | 0.260348i | ||||
\(959\) | 0.777447 | + | 1.34658i | 0.0251051 | + | 0.0434832i | ||||
\(960\) | 18.7026 | + | 50.0086i | 0.603625 | + | 1.61402i | ||||
\(961\) | −9.18236 | + | 15.9043i | −0.296205 | + | 0.513042i | ||||
\(962\) | 7.04060 | − | 0.382857i | 0.226998 | − | 0.0123438i | ||||
\(963\) | −5.08661 | + | 25.3622i | −0.163914 | + | 0.817284i | ||||
\(964\) | −2.23002 | + | 0.243250i | −0.0718242 | + | 0.00783455i | ||||
\(965\) | 7.17636 | − | 1.92290i | 0.231015 | − | 0.0619003i | ||||
\(966\) | 1.61015 | + | 0.285587i | 0.0518057 | + | 0.00918860i | ||||
\(967\) | −0.0976589 | − | 0.169150i | −0.00314050 | − | 0.00543950i | 0.864451 | − | 0.502717i | \(-0.167666\pi\) |
−0.867591 | + | 0.497278i | \(0.834333\pi\) | |||||||
\(968\) | −9.04152 | + | 7.41036i | −0.290606 | + | 0.238178i | ||||
\(969\) | 22.4251 | + | 12.0093i | 0.720399 | + | 0.385795i | ||||
\(970\) | 18.2887 | − | 5.98213i | 0.587216 | − | 0.192075i | ||||
\(971\) | −17.8241 | + | 17.8241i | −0.572003 | + | 0.572003i | −0.932688 | − | 0.360685i | \(-0.882543\pi\) |
0.360685 | + | 0.932688i | \(0.382543\pi\) | |||||||
\(972\) | 26.8978 | − | 15.7641i | 0.862749 | − | 0.505633i | ||||
\(973\) | 2.68369 | + | 2.68369i | 0.0860352 | + | 0.0860352i | ||||
\(974\) | 7.01687 | − | 13.8385i | 0.224835 | − | 0.443415i | ||||
\(975\) | −13.4044 | + | 25.0302i | −0.429284 | + | 0.801607i | ||||
\(976\) | 0.392113 | − | 8.80584i | 0.0125512 | − | 0.281868i | ||||
\(977\) | −44.7934 | + | 25.8615i | −1.43307 | + | 0.827382i | −0.997354 | − | 0.0727039i | \(-0.976837\pi\) |
−0.435713 | + | 0.900085i | \(0.643504\pi\) | |||||||
\(978\) | −20.3673 | − | 29.1500i | −0.651275 | − | 0.932115i | ||||
\(979\) | −13.1438 | − | 49.0534i | −0.420079 | − | 1.56775i | ||||
\(980\) | −36.4870 | − | 29.3099i | −1.16553 | − | 0.936271i | ||||
\(981\) | 16.4953 | + | 3.30828i | 0.526655 | + | 0.105625i | ||||
\(982\) | 6.82451 | − | 7.60941i | 0.217779 | − | 0.242826i | ||||
\(983\) | 48.7340 | + | 28.1366i | 1.55437 | + | 0.897419i | 0.997777 | + | 0.0666364i | \(0.0212267\pi\) |
0.556597 | + | 0.830782i | \(0.312107\pi\) | |||||||
\(984\) | −40.5102 | − | 27.1526i | −1.29142 | − | 0.865592i | ||||
\(985\) | −76.4921 | + | 44.1627i | −2.43724 | + | 1.40714i | ||||
\(986\) | 4.48252 | − | 21.2943i | 0.142753 | − | 0.678148i | ||||
\(987\) | 7.02892 | + | 6.59376i | 0.223733 | + | 0.209882i | ||||
\(988\) | 7.63454 | − | 17.3305i | 0.242887 | − | 0.551355i | ||||
\(989\) | 3.37694 | − | 3.37694i | 0.107381 | − | 0.107381i | ||||
\(990\) | −7.49889 | − | 63.1512i | −0.238330 | − | 2.00708i | ||||
\(991\) | − | 45.9493i | − | 1.45963i | −0.683646 | − | 0.729814i | \(-0.739607\pi\) | ||
0.683646 | − | 0.729814i | \(-0.260393\pi\) | |||||||
\(992\) | 19.4730 | + | 5.01323i | 0.618267 | + | 0.159170i | ||||
\(993\) | 8.06581 | − | 5.00679i | 0.255961 | − | 0.158886i | ||||
\(994\) | −10.7205 | + | 6.99195i | −0.340033 | + | 0.221771i | ||||
\(995\) | −6.53852 | + | 24.4021i | −0.207285 | + | 0.773599i | ||||
\(996\) | 29.2422 | + | 11.7821i | 0.926576 | + | 0.373330i | ||||
\(997\) | −3.20864 | − | 11.9748i | −0.101619 | − | 0.379246i | 0.896321 | − | 0.443406i | \(-0.146230\pi\) |
−0.997940 | + | 0.0641600i | \(0.979563\pi\) | |||||||
\(998\) | −24.8314 | + | 27.6872i | −0.786023 | + | 0.876424i | ||||
\(999\) | −1.48857 | − | 15.4908i | −0.0470963 | − | 0.490107i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 144.2.u.a.83.9 | yes | 88 | |
3.2 | odd | 2 | 432.2.v.a.35.14 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.47.20 | 88 | |||
9.4 | even | 3 | 432.2.v.a.179.6 | 88 | |||
9.5 | odd | 6 | inner | 144.2.u.a.131.17 | yes | 88 | |
12.11 | even | 2 | 1728.2.z.a.1007.2 | 88 | |||
16.5 | even | 4 | 576.2.y.a.335.13 | 88 | |||
16.11 | odd | 4 | inner | 144.2.u.a.11.17 | ✓ | 88 | |
36.23 | even | 6 | 576.2.y.a.239.13 | 88 | |||
36.31 | odd | 6 | 1728.2.z.a.1583.2 | 88 | |||
48.5 | odd | 4 | 1728.2.z.a.143.2 | 88 | |||
48.11 | even | 4 | 432.2.v.a.251.6 | 88 | |||
144.5 | odd | 12 | 576.2.y.a.527.20 | 88 | |||
144.59 | even | 12 | inner | 144.2.u.a.59.9 | yes | 88 | |
144.85 | even | 12 | 1728.2.z.a.719.2 | 88 | |||
144.139 | odd | 12 | 432.2.v.a.395.14 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.17 | ✓ | 88 | 16.11 | odd | 4 | inner | |
144.2.u.a.59.9 | yes | 88 | 144.59 | even | 12 | inner | |
144.2.u.a.83.9 | yes | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.131.17 | yes | 88 | 9.5 | odd | 6 | inner | |
432.2.v.a.35.14 | 88 | 3.2 | odd | 2 | |||
432.2.v.a.179.6 | 88 | 9.4 | even | 3 | |||
432.2.v.a.251.6 | 88 | 48.11 | even | 4 | |||
432.2.v.a.395.14 | 88 | 144.139 | odd | 12 | |||
576.2.y.a.47.20 | 88 | 4.3 | odd | 2 | |||
576.2.y.a.239.13 | 88 | 36.23 | even | 6 | |||
576.2.y.a.335.13 | 88 | 16.5 | even | 4 | |||
576.2.y.a.527.20 | 88 | 144.5 | odd | 12 | |||
1728.2.z.a.143.2 | 88 | 48.5 | odd | 4 | |||
1728.2.z.a.719.2 | 88 | 144.85 | even | 12 | |||
1728.2.z.a.1007.2 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.1583.2 | 88 | 36.31 | odd | 6 |