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 | 131.17 | ||
Character | \(\chi\) | \(=\) | 144.131 |
Dual form | 144.2.u.a.11.17 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.772565 | + | 1.18454i | 0.546286 | + | 0.837599i | ||||
\(3\) | −0.501476 | + | 1.65787i | −0.289527 | + | 0.957170i | ||||
\(4\) | −0.806286 | + | 1.83027i | −0.403143 | + | 0.915137i | ||||
\(5\) | 3.72190 | − | 0.997280i | 1.66448 | − | 0.445997i | 0.700869 | − | 0.713290i | \(-0.252796\pi\) |
0.963616 | + | 0.267292i | \(0.0861289\pi\) | |||||||
\(6\) | −2.35124 | + | 0.686791i | −0.959889 | + | 0.280381i | ||||
\(7\) | −0.481387 | − | 0.833787i | −0.181947 | − | 0.315142i | 0.760596 | − | 0.649225i | \(-0.224907\pi\) |
−0.942544 | + | 0.334083i | \(0.891573\pi\) | |||||||
\(8\) | −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 | ||||
\(11\) | −3.75758 | − | 1.00684i | −1.13295 | − | 0.303574i | −0.356839 | − | 0.934166i | \(-0.616145\pi\) |
−0.776114 | + | 0.630592i | \(0.782812\pi\) | |||||||
\(12\) | −2.63002 | − | 2.25455i | −0.759221 | − | 0.650833i | ||||
\(13\) | 1.60802 | − | 0.430868i | 0.445985 | − | 0.119501i | −0.0288351 | − | 0.999584i | \(-0.509180\pi\) |
0.474820 | + | 0.880083i | \(0.342513\pi\) | |||||||
\(14\) | 0.615754 | − | 1.21438i | 0.164567 | − | 0.324556i | ||||
\(15\) | −0.213084 | + | 6.67053i | −0.0550181 | + | 1.72232i | ||||
\(16\) | −2.69981 | − | 2.95145i | −0.674951 | − | 0.737862i | ||||
\(17\) | 2.58216i | 0.626265i | 0.949709 | + | 0.313133i | \(0.101378\pi\) | ||||
−0.949709 | + | 0.313133i | \(0.898622\pi\) | |||||||
\(18\) | 0.0404807 | − | 4.24245i | 0.00954139 | − | 0.999954i | ||||
\(19\) | 4.02190 | − | 4.02190i | 0.922686 | − | 0.922686i | −0.0745325 | − | 0.997219i | \(-0.523746\pi\) |
0.997219 | + | 0.0745325i | \(0.0237465\pi\) | |||||||
\(20\) | −1.17562 | + | 7.61619i | −0.262877 | + | 1.70303i | ||||
\(21\) | 1.62371 | − | 0.379952i | 0.354323 | − | 0.0829123i | ||||
\(22\) | −1.71033 | − | 5.22887i | −0.364643 | − | 1.11480i | ||||
\(23\) | 0.600513 | + | 0.346706i | 0.125216 | + | 0.0722933i | 0.561300 | − | 0.827613i | \(-0.310302\pi\) |
−0.436084 | + | 0.899906i | \(0.643635\pi\) | |||||||
\(24\) | 0.638755 | − | 4.85716i | 0.130385 | − | 0.991463i | ||||
\(25\) | 8.52786 | − | 4.92356i | 1.70557 | − | 0.984712i | ||||
\(26\) | 1.75268 | + | 1.57190i | 0.343730 | + | 0.308275i | ||||
\(27\) | 4.00884 | − | 3.30593i | 0.771502 | − | 0.636227i | ||||
\(28\) | 1.91419 | − | 0.208800i | 0.361749 | − | 0.0394594i | ||||
\(29\) | −5.75605 | − | 1.54233i | −1.06887 | − | 0.286403i | −0.318842 | − | 0.947808i | \(-0.603294\pi\) |
−0.750029 | + | 0.661405i | \(0.769961\pi\) | |||||||
\(30\) | −8.06615 | + | 4.90101i | −1.47267 | + | 0.894798i | ||||
\(31\) | 3.07839 | + | 1.77731i | 0.552894 | + | 0.319214i | 0.750289 | − | 0.661110i | \(-0.229915\pi\) |
−0.197394 | + | 0.980324i | \(0.563248\pi\) | |||||||
\(32\) | 1.41034 | − | 5.47822i | 0.249316 | − | 0.968422i | ||||
\(33\) | 3.55354 | − | 5.72466i | 0.618592 | − | 0.996536i | ||||
\(34\) | −3.05868 | + | 1.99488i | −0.524559 | + | 0.342120i | ||||
\(35\) | −2.62320 | − | 2.62320i | −0.443401 | − | 0.443401i | ||||
\(36\) | 5.05664 | − | 3.22962i | 0.842773 | − | 0.538269i | ||||
\(37\) | −2.11774 | + | 2.11774i | −0.348154 | + | 0.348154i | −0.859422 | − | 0.511267i | \(-0.829176\pi\) |
0.511267 | + | 0.859422i | \(0.329176\pi\) | |||||||
\(38\) | 7.87129 | + | 1.65693i | 1.27689 | + | 0.268790i | ||||
\(39\) | −0.0920616 | + | 2.88196i | −0.0147417 | + | 0.461482i | ||||
\(40\) | −9.92995 | + | 4.49143i | −1.57006 | + | 0.710158i | ||||
\(41\) | −4.97738 | + | 8.62108i | −0.777337 | + | 1.34639i | 0.156135 | + | 0.987736i | \(0.450096\pi\) |
−0.933472 | + | 0.358651i | \(0.883237\pi\) | |||||||
\(42\) | 1.70449 | + | 1.62982i | 0.263009 | + | 0.251487i | ||||
\(43\) | −1.78256 | + | 6.65259i | −0.271837 | + | 1.01451i | 0.686094 | + | 0.727513i | \(0.259324\pi\) |
−0.957931 | + | 0.286997i | \(0.907343\pi\) | |||||||
\(44\) | 4.87248 | − | 6.06560i | 0.734554 | − | 0.914424i | ||||
\(45\) | −10.9520 | − | 3.69837i | −1.63263 | − | 0.551321i | ||||
\(46\) | 0.0532467 | + | 0.979187i | 0.00785080 | + | 0.144373i | ||||
\(47\) | 2.88971 | + | 5.00512i | 0.421507 | + | 0.730072i | 0.996087 | − | 0.0883767i | \(-0.0281679\pi\) |
−0.574580 | + | 0.818448i | \(0.694835\pi\) | |||||||
\(48\) | 6.24700 | − | 2.99584i | 0.901676 | − | 0.432412i | ||||
\(49\) | 3.03653 | − | 5.25943i | 0.433790 | − | 0.751347i | ||||
\(50\) | 12.4205 | + | 6.29784i | 1.75652 | + | 0.890650i | ||||
\(51\) | −4.28087 | − | 1.29489i | −0.599442 | − | 0.181321i | ||||
\(52\) | −0.507919 | + | 3.29052i | −0.0704357 | + | 0.456314i | ||||
\(53\) | −6.68090 | − | 6.68090i | −0.917692 | − | 0.917692i | 0.0791696 | − | 0.996861i | \(-0.474773\pi\) |
−0.996861 | + | 0.0791696i | \(0.974773\pi\) | |||||||
\(54\) | 7.01311 | + | 2.19460i | 0.954364 | + | 0.298647i | ||||
\(55\) | −14.9894 | −2.02118 | ||||||||
\(56\) | 1.72617 | + | 2.10614i | 0.230669 | + | 0.281444i | ||||
\(57\) | 4.65088 | + | 8.68465i | 0.616025 | + | 1.15031i | ||||
\(58\) | −2.61997 | − | 8.00984i | −0.344019 | − | 1.05174i | ||||
\(59\) | −2.34478 | − | 8.75083i | −0.305264 | − | 1.13926i | −0.932718 | − | 0.360607i | \(-0.882570\pi\) |
0.627454 | − | 0.778654i | \(-0.284097\pi\) | |||||||
\(60\) | −12.0371 | − | 5.76836i | −1.55398 | − | 0.744692i | ||||
\(61\) | 0.570345 | − | 2.12855i | 0.0730251 | − | 0.272534i | −0.919753 | − | 0.392497i | \(-0.871611\pi\) |
0.992778 | + | 0.119964i | \(0.0382779\pi\) | |||||||
\(62\) | 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 | ||||
\(66\) | 9.52645 | − | 0.213350i | 1.17263 | − | 0.0262615i | ||||
\(67\) | −1.12686 | − | 4.20548i | −0.137667 | − | 0.513782i | −0.999973 | − | 0.00739290i | \(-0.997647\pi\) |
0.862305 | − | 0.506389i | \(-0.169020\pi\) | |||||||
\(68\) | −4.72606 | − | 2.08196i | −0.573118 | − | 0.252474i | ||||
\(69\) | −0.875935 | + | 0.821706i | −0.105450 | + | 0.0989217i | ||||
\(70\) | 1.08070 | − | 5.13388i | 0.129168 | − | 0.613616i | ||||
\(71\) | 9.40024i | 1.11560i | 0.829974 | + | 0.557801i | \(0.188355\pi\) | ||||
−0.829974 | + | 0.557801i | \(0.811645\pi\) | |||||||
\(72\) | 7.73220 | + | 3.49472i | 0.911249 | + | 0.411856i | ||||
\(73\) | − | 3.77840i | − | 0.442228i | −0.975248 | − | 0.221114i | \(-0.929031\pi\) | ||
0.975248 | − | 0.221114i | \(-0.0709693\pi\) | |||||||
\(74\) | −4.14465 | − | 0.872463i | −0.481805 | − | 0.101422i | ||||
\(75\) | 3.88610 | + | 16.6071i | 0.448728 | + | 1.91762i | ||||
\(76\) | 4.11837 | + | 10.6040i | 0.472410 | + | 1.21636i | ||||
\(77\) | 0.969360 | + | 3.61770i | 0.110469 | + | 0.412275i | ||||
\(78\) | −3.48493 | + | 2.11745i | −0.394590 | + | 0.239754i | ||||
\(79\) | −9.52430 | + | 5.49886i | −1.07157 | + | 0.618670i | −0.928609 | − | 0.371059i | \(-0.878995\pi\) |
−0.142958 | + | 0.989729i | \(0.545661\pi\) | |||||||
\(80\) | −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 | ||||
\(83\) | 2.35550 | − | 8.79083i | 0.258549 | − | 0.964919i | −0.707532 | − | 0.706681i | \(-0.750191\pi\) |
0.966081 | − | 0.258238i | \(-0.0831419\pi\) | |||||||
\(84\) | −0.613760 | + | 3.27819i | −0.0669667 | + | 0.357680i | ||||
\(85\) | 2.57514 | + | 9.61053i | 0.279313 | + | 1.04241i | ||||
\(86\) | −9.25742 | + | 3.02804i | −0.998253 | + | 0.326522i | ||||
\(87\) | 5.44349 | − | 8.76932i | 0.583604 | − | 0.940170i | ||||
\(88\) | 10.9493 | + | 1.08559i | 1.16720 | + | 0.115724i | ||||
\(89\) | −13.0545 | −1.38378 | −0.691889 | − | 0.722004i | \(-0.743221\pi\) | ||||
−0.691889 | + | 0.722004i | \(0.743221\pi\) | |||||||
\(90\) | −4.08025 | − | 15.8303i | −0.430096 | − | 1.66866i | ||||
\(91\) | −1.13333 | − | 1.13333i | −0.118806 | − | 0.118806i | ||||
\(92\) | −1.11875 | + | 0.819559i | −0.116638 | + | 0.0854449i | ||||
\(93\) | −4.49027 | + | 4.21228i | −0.465620 | + | 0.436793i | ||||
\(94\) | −3.69629 | + | 7.28976i | −0.381244 | + | 0.751882i | ||||
\(95\) | 10.9581 | − | 18.9801i | 1.12428 | − | 1.94731i | ||||
\(96\) | 8.37491 | + | 5.08536i | 0.854761 | + | 0.519022i | ||||
\(97\) | 1.76559 | + | 3.05809i | 0.179268 | + | 0.310502i | 0.941630 | − | 0.336649i | \(-0.109294\pi\) |
−0.762362 | + | 0.647151i | \(0.775960\pi\) | |||||||
\(98\) | 8.57594 | − | 0.466347i | 0.866301 | − | 0.0471082i | ||||
\(99\) | 7.70871 | + | 8.76208i | 0.774755 | + | 0.880622i | ||||
\(100\) | 2.13557 | + | 19.5781i | 0.213557 | + | 1.95781i | ||||
\(101\) | −4.91426 | + | 18.3403i | −0.488987 | + | 1.82492i | 0.0724058 | + | 0.997375i | \(0.476932\pi\) |
−0.561393 | + | 0.827549i | \(0.689734\pi\) | |||||||
\(102\) | −1.77340 | − | 6.07127i | −0.175593 | − | 0.601145i | ||||
\(103\) | 1.72391 | − | 2.98591i | 0.169862 | − | 0.294210i | −0.768509 | − | 0.639839i | \(-0.779001\pi\) |
0.938371 | + | 0.345629i | \(0.112334\pi\) | |||||||
\(104\) | −4.29017 | + | 1.94049i | −0.420686 | + | 0.190281i | ||||
\(105\) | 5.66438 | − | 3.03344i | 0.552787 | − | 0.296033i | ||||
\(106\) | 2.75238 | − | 13.0752i | 0.267335 | − | 1.26998i | ||||
\(107\) | 6.09696 | − | 6.09696i | 0.589415 | − | 0.589415i | −0.348058 | − | 0.937473i | \(-0.613159\pi\) |
0.937473 | + | 0.348058i | \(0.113159\pi\) | |||||||
\(108\) | 2.81849 | + | 10.0028i | 0.271210 | + | 0.962520i | ||||
\(109\) | 3.96541 | + | 3.96541i | 0.379817 | + | 0.379817i | 0.871036 | − | 0.491219i | \(-0.163448\pi\) |
−0.491219 | + | 0.871036i | \(0.663448\pi\) | |||||||
\(110\) | −11.5803 | − | 17.7556i | −1.10414 | − | 1.69293i | ||||
\(111\) | −2.44894 | − | 4.57293i | −0.232443 | − | 0.434043i | ||||
\(112\) | −1.16123 | + | 3.67185i | −0.109726 | + | 0.346957i | ||||
\(113\) | 5.53559 | + | 3.19597i | 0.520744 | + | 0.300652i | 0.737239 | − | 0.675632i | \(-0.236129\pi\) |
−0.216495 | + | 0.976284i | \(0.569462\pi\) | |||||||
\(114\) | −6.69423 | + | 12.2186i | −0.626972 | + | 1.14438i | ||||
\(115\) | 2.58081 | + | 0.691527i | 0.240662 | + | 0.0644852i | ||||
\(116\) | 7.46390 | − | 9.29159i | 0.693006 | − | 0.862702i | ||||
\(117\) | −4.73173 | − | 1.59786i | −0.437449 | − | 0.147722i | ||||
\(118\) | 8.55424 | − | 9.53808i | 0.787482 | − | 0.878051i | ||||
\(119\) | 2.15297 | − | 1.24302i | 0.197362 | − | 0.113947i | ||||
\(120\) | −2.46657 | − | 18.7149i | −0.225166 | − | 1.70843i | ||||
\(121\) | 3.57940 | + | 2.06657i | 0.325400 | + | 0.187870i | ||||
\(122\) | 2.96199 | − | 0.968850i | 0.268166 | − | 0.0877155i | ||||
\(123\) | −11.7966 | − | 12.5751i | −1.06366 | − | 1.13386i | ||||
\(124\) | −5.73502 | + | 4.20127i | −0.515020 | + | 0.377285i | ||||
\(125\) | 13.2066 | − | 13.2066i | 1.18123 | − | 1.18123i | ||||
\(126\) | −3.55679 | + | 2.00851i | −0.316864 | + | 0.178932i | ||||
\(127\) | − | 3.08724i | − | 0.273948i | −0.990575 | − | 0.136974i | \(-0.956262\pi\) | ||
0.990575 | − | 0.136974i | \(-0.0437377\pi\) | |||||||
\(128\) | 8.88951 | + | 6.99833i | 0.785729 | + | 0.618571i | ||||
\(129\) | −10.1352 | − | 6.29135i | −0.892354 | − | 0.553922i | ||||
\(130\) | 8.09094 | + | 4.10253i | 0.709622 | + | 0.359816i | ||||
\(131\) | −5.07628 | + | 1.36018i | −0.443516 | + | 0.118840i | −0.473664 | − | 0.880706i | \(-0.657069\pi\) |
0.0301478 | + | 0.999545i | \(0.490402\pi\) | |||||||
\(132\) | 7.61253 | + | 11.1197i | 0.662585 | + | 0.967843i | ||||
\(133\) | −5.28949 | − | 1.41732i | −0.458657 | − | 0.122897i | ||||
\(134\) | 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 | \(-0.188644\pi\) |
−0.898457 | + | 0.439062i | \(0.855311\pi\) | |||||||
\(138\) | −1.65006 | − | 0.402762i | −0.140463 | − | 0.0342854i | ||||
\(139\) | −3.80774 | + | 1.02028i | −0.322968 | + | 0.0865390i | −0.416661 | − | 0.909062i | \(-0.636800\pi\) |
0.0936925 | + | 0.995601i | \(0.470133\pi\) | |||||||
\(140\) | 6.91621 | − | 2.68612i | 0.584527 | − | 0.227019i | ||||
\(141\) | −9.74694 | + | 2.28080i | −0.820840 | + | 0.192078i | ||||
\(142\) | −11.1350 | + | 7.26230i | −0.934427 | + | 0.609438i | ||||
\(143\) | −6.47609 | −0.541558 | ||||||||
\(144\) | 1.83399 | + | 11.8590i | 0.152832 | + | 0.988252i | ||||
\(145\) | −22.9616 | −1.90685 | ||||||||
\(146\) | 4.47568 | − | 2.91906i | 0.370410 | − | 0.241583i | ||||
\(147\) | 7.19669 | + | 7.67164i | 0.593573 | + | 0.632746i | ||||
\(148\) | −2.16854 | − | 5.58355i | −0.178253 | − | 0.458965i | ||||
\(149\) | 4.31466 | − | 1.15611i | 0.353471 | − | 0.0947122i | −0.0777144 | − | 0.996976i | \(-0.524762\pi\) |
0.431185 | + | 0.902263i | \(0.358096\pi\) | |||||||
\(150\) | −16.6696 | + | 17.4333i | −1.36106 | + | 1.42342i | ||||
\(151\) | 9.60303 | + | 16.6329i | 0.781483 | + | 1.35357i | 0.931078 | + | 0.364821i | \(0.118870\pi\) |
−0.149594 | + | 0.988747i | \(0.547797\pi\) | |||||||
\(152\) | −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 | ||||
\(155\) | 13.2299 | + | 3.54495i | 1.06265 | + | 0.284737i | ||||
\(156\) | −5.20054 | − | 2.49218i | −0.416377 | − | 0.199534i | ||||
\(157\) | 18.2189 | − | 4.88175i | 1.45403 | − | 0.389606i | 0.556606 | − | 0.830776i | \(-0.312103\pi\) |
0.897423 | + | 0.441170i | \(0.145436\pi\) | |||||||
\(158\) | −13.8718 | − | 7.03372i | −1.10358 | − | 0.559573i | ||||
\(159\) | 14.4263 | − | 7.72573i | 1.14408 | − | 0.612690i | ||||
\(160\) | −0.214167 | − | 21.7959i | −0.0169314 | − | 1.72312i | ||||
\(161\) | − | 0.667600i | − | 0.0526142i | ||||||
\(162\) | −7.15525 | + | 10.5263i | −0.562170 | + | 0.827022i | ||||
\(163\) | 10.2654 | − | 10.2654i | 0.804052 | − | 0.804052i | −0.179675 | − | 0.983726i | \(-0.557504\pi\) |
0.983726 | + | 0.179675i | \(0.0575045\pi\) | |||||||
\(164\) | −11.7657 | − | 16.0610i | −0.918750 | − | 1.25416i | ||||
\(165\) | 7.51684 | − | 24.8505i | 0.585185 | − | 1.93461i | ||||
\(166\) | 12.2329 | − | 4.00130i | 0.949457 | − | 0.310561i | ||||
\(167\) | −4.99449 | − | 2.88357i | −0.386485 | − | 0.223137i | 0.294151 | − | 0.955759i | \(-0.404963\pi\) |
−0.680636 | + | 0.732622i | \(0.738296\pi\) | |||||||
\(168\) | −4.35733 | + | 1.80559i | −0.336175 | + | 0.139304i | ||||
\(169\) | −8.85824 | + | 5.11431i | −0.681403 | + | 0.393408i | ||||
\(170\) | −9.39464 | + | 10.4751i | −0.720536 | + | 0.803405i | ||||
\(171\) | −16.7303 | + | 3.35541i | −1.27940 | + | 0.256594i | ||||
\(172\) | −10.7388 | − | 8.62645i | −0.818827 | − | 0.657761i | ||||
\(173\) | 7.70414 | + | 2.06432i | 0.585735 | + | 0.156947i | 0.539503 | − | 0.841984i | \(-0.318612\pi\) |
0.0462316 | + | 0.998931i | \(0.485279\pi\) | |||||||
\(174\) | 14.5931 | − | 0.326819i | 1.10630 | − | 0.0247761i | ||||
\(175\) | −8.21040 | − | 4.74028i | −0.620648 | − | 0.358331i | ||||
\(176\) | 7.17310 | + | 13.8086i | 0.540693 | + | 1.04086i | ||||
\(177\) | 15.6836 | + | 0.500998i | 1.17885 | + | 0.0376573i | ||||
\(178\) | −10.0855 | − | 15.4637i | −0.755938 | − | 1.15905i | ||||
\(179\) | −1.48408 | − | 1.48408i | −0.110925 | − | 0.110925i | 0.649466 | − | 0.760391i | \(-0.274993\pi\) |
−0.760391 | + | 0.649466i | \(0.774993\pi\) | |||||||
\(180\) | 15.5995 | − | 17.0632i | 1.16272 | − | 1.27182i | ||||
\(181\) | 4.93884 | − | 4.93884i | 0.367101 | − | 0.367101i | −0.499318 | − | 0.866419i | \(-0.666416\pi\) |
0.866419 | + | 0.499318i | \(0.166416\pi\) | |||||||
\(182\) | 0.466909 | − | 2.21806i | 0.0346096 | − | 0.164413i | ||||
\(183\) | 3.24285 | + | 2.01297i | 0.239718 | + | 0.148803i | ||||
\(184\) | −1.83511 | − | 0.692049i | −0.135286 | − | 0.0510185i | ||||
\(185\) | −5.77004 | + | 9.99400i | −0.424222 | + | 0.734774i | ||||
\(186\) | −8.45865 | − | 2.06466i | −0.620219 | − | 0.151389i | ||||
\(187\) | 2.59982 | − | 9.70266i | 0.190118 | − | 0.709529i | ||||
\(188\) | −11.4907 | + | 1.25340i | −0.838043 | + | 0.0914134i | ||||
\(189\) | −4.68625 | − | 1.75108i | −0.340875 | − | 0.127373i | ||||
\(190\) | 30.9486 | − | 1.68294i | 2.24525 | − | 0.122093i | ||||
\(191\) | 3.80239 | + | 6.58592i | 0.275131 | + | 0.476541i | 0.970168 | − | 0.242433i | \(-0.0779455\pi\) |
−0.695037 | + | 0.718974i | \(0.744612\pi\) | |||||||
\(192\) | 0.446341 | + | 13.8492i | 0.0322119 | + | 0.999481i | ||||
\(193\) | 0.964071 | − | 1.66982i | 0.0693954 | − | 0.120196i | −0.829240 | − | 0.558893i | \(-0.811226\pi\) |
0.898635 | + | 0.438696i | \(0.144560\pi\) | |||||||
\(194\) | −2.25841 | + | 4.45399i | −0.162144 | + | 0.319778i | ||||
\(195\) | 2.53147 | + | 10.8182i | 0.181283 | + | 0.774705i | ||||
\(196\) | 7.17788 | + | 9.79829i | 0.512706 | + | 0.699878i | ||||
\(197\) | 16.2088 | + | 16.2088i | 1.15483 | + | 1.15483i | 0.985573 | + | 0.169254i | \(0.0541357\pi\) |
0.169254 | + | 0.985573i | \(0.445864\pi\) | |||||||
\(198\) | −4.42358 | + | 15.9006i | −0.314370 | + | 1.13000i | ||||
\(199\) | −6.55635 | −0.464768 | −0.232384 | − | 0.972624i | \(-0.574653\pi\) | ||||
−0.232384 | + | 0.972624i | \(0.574653\pi\) | |||||||
\(200\) | −21.5413 | + | 17.6550i | −1.52320 | + | 1.24840i | ||||
\(201\) | 7.53722 | + | 0.240770i | 0.531635 | + | 0.0169826i | ||||
\(202\) | −25.5214 | + | 8.34790i | −1.79568 | + | 0.587356i | ||||
\(203\) | 1.48491 | + | 5.54178i | 0.104221 | + | 0.388956i | ||||
\(204\) | 5.82161 | − | 6.79112i | 0.407594 | − | 0.475473i | ||||
\(205\) | −9.92769 | + | 37.0507i | −0.693380 | + | 2.58773i | ||||
\(206\) | 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 | ||||
\(210\) | 7.96934 | + | 4.36617i | 0.549937 | + | 0.301294i | ||||
\(211\) | −1.56388 | − | 5.83649i | −0.107662 | − | 0.401800i | 0.890971 | − | 0.454059i | \(-0.150025\pi\) |
−0.998634 | + | 0.0522589i | \(0.983358\pi\) | |||||||
\(212\) | 17.6146 | − | 6.84116i | 1.20977 | − | 0.469853i | ||||
\(213\) | −15.5843 | − | 4.71399i | −1.06782 | − | 0.322997i | ||||
\(214\) | 11.9324 | + | 2.51181i | 0.815683 | + | 0.171704i | ||||
\(215\) | 26.5380i | 1.80988i | ||||||||
\(216\) | −9.67129 | + | 11.0664i | −0.658048 | + | 0.752976i | ||||
\(217\) | − | 3.42229i | − | 0.232320i | ||||||
\(218\) | −1.63366 | + | 7.76074i | −0.110646 | + | 0.525624i | ||||
\(219\) | 6.26408 | + | 1.89477i | 0.423287 | + | 0.128037i | ||||
\(220\) | 12.0858 | − | 27.4348i | 0.814823 | − | 1.84965i | ||||
\(221\) | 1.11257 | + | 4.15217i | 0.0748395 | + | 0.279305i | ||||
\(222\) | 3.52487 | − | 6.43375i | 0.236574 | − | 0.431805i | ||||
\(223\) | −4.51028 | + | 2.60401i | −0.302031 | + | 0.174377i | −0.643355 | − | 0.765568i | \(-0.722458\pi\) |
0.341324 | + | 0.939946i | \(0.389125\pi\) | |||||||
\(224\) | −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 | ||||
\(227\) | −1.68430 | + | 6.28589i | −0.111791 | + | 0.417209i | −0.999027 | − | 0.0441067i | \(-0.985956\pi\) |
0.887236 | + | 0.461316i | \(0.152623\pi\) | |||||||
\(228\) | −19.6452 | + | 1.51008i | −1.30104 | + | 0.100008i | ||||
\(229\) | −1.07052 | − | 3.99522i | −0.0707418 | − | 0.264012i | 0.921492 | − | 0.388397i | \(-0.126971\pi\) |
−0.992234 | + | 0.124385i | \(0.960304\pi\) | |||||||
\(230\) | 1.17470 | + | 3.59133i | 0.0774576 | + | 0.236806i | ||||
\(231\) | −6.48378 | − | 0.207119i | −0.426601 | − | 0.0136274i | ||||
\(232\) | 16.7726 | + | 1.66296i | 1.10118 | + | 0.109179i | ||||
\(233\) | 17.2178 | 1.12797 | 0.563987 | − | 0.825783i | \(-0.309267\pi\) | ||||
0.563987 | + | 0.825783i | \(0.309267\pi\) | |||||||
\(234\) | −1.76284 | − | 6.83939i | −0.115241 | − | 0.447105i | ||||
\(235\) | 15.7467 | + | 15.7467i | 1.02720 | + | 1.02720i | ||||
\(236\) | 17.9070 | + | 2.76409i | 1.16564 | + | 0.179927i | ||||
\(237\) | −4.34017 | − | 18.5476i | −0.281924 | − | 1.20479i | ||||
\(238\) | 3.13572 | + | 1.58997i | 0.203258 | + | 0.103063i | ||||
\(239\) | −4.49270 | + | 7.78159i | −0.290609 | + | 0.503349i | −0.973954 | − | 0.226747i | \(-0.927191\pi\) |
0.683345 | + | 0.730095i | \(0.260524\pi\) | |||||||
\(240\) | 20.2630 | − | 17.3802i | 1.30797 | − | 1.12189i | ||||
\(241\) | 0.560812 | + | 0.971356i | 0.0361251 | + | 0.0625705i | 0.883523 | − | 0.468388i | \(-0.155165\pi\) |
−0.847398 | + | 0.530959i | \(0.821832\pi\) | |||||||
\(242\) | 0.317381 | + | 5.83652i | 0.0204020 | + | 0.375185i | ||||
\(243\) | −15.5072 | + | 1.58933i | −0.994789 | + | 0.101956i | ||||
\(244\) | 3.43598 | + | 2.76011i | 0.219966 | + | 0.176698i | ||||
\(245\) | 6.05655 | − | 22.6034i | 0.386939 | − | 1.44408i | ||||
\(246\) | 5.78213 | − | 23.6886i | 0.368655 | − | 1.51033i | ||||
\(247\) | 4.73439 | − | 8.20020i | 0.301242 | − | 0.521766i | ||||
\(248\) | −9.40726 | − | 3.54762i | −0.597362 | − | 0.225274i | ||||
\(249\) | 13.3928 | + | 8.31349i | 0.848735 | + | 0.526846i | ||||
\(250\) | 25.8467 | + | 5.44082i | 1.63469 | + | 0.344107i | ||||
\(251\) | −0.699267 | + | 0.699267i | −0.0441373 | + | 0.0441373i | −0.728831 | − | 0.684694i | \(-0.759936\pi\) |
0.684694 | + | 0.728831i | \(0.259936\pi\) | |||||||
\(252\) | −5.12701 | − | 2.66146i | −0.322971 | − | 0.167656i | ||||
\(253\) | −1.90740 | − | 1.90740i | −0.119917 | − | 0.119917i | ||||
\(254\) | 3.65696 | − | 2.38509i | 0.229458 | − | 0.149654i | ||||
\(255\) | −17.2244 | − | 0.550217i | −1.07863 | − | 0.0344559i | ||||
\(256\) | −1.42210 | + | 15.9367i | −0.0888812 | + | 0.996042i | ||||
\(257\) | 5.79978 | + | 3.34851i | 0.361781 | + | 0.208874i | 0.669862 | − | 0.742486i | \(-0.266353\pi\) |
−0.308081 | + | 0.951360i | \(0.599687\pi\) | |||||||
\(258\) | −0.377724 | − | 16.8661i | −0.0235160 | − | 1.05003i | ||||
\(259\) | 2.78520 | + | 0.746291i | 0.173064 | + | 0.0463723i | ||||
\(260\) | 1.39115 | + | 12.7535i | 0.0862755 | + | 0.790941i | ||||
\(261\) | 11.8086 | + | 13.4222i | 0.730933 | + | 0.830812i | ||||
\(262\) | −5.53295 | − | 4.96224i | −0.341827 | − | 0.306568i | ||||
\(263\) | 12.2113 | − | 7.05022i | 0.752984 | − | 0.434735i | −0.0737874 | − | 0.997274i | \(-0.523509\pi\) |
0.826771 | + | 0.562539i | \(0.190175\pi\) | |||||||
\(264\) | −7.29056 | + | 17.6080i | −0.448703 | + | 1.08370i | ||||
\(265\) | −31.5284 | − | 18.2029i | −1.93677 | − | 1.11820i | ||||
\(266\) | −2.40761 | − | 7.36060i | −0.147620 | − | 0.451308i | ||||
\(267\) | 6.54653 | − | 21.6427i | 0.400641 | − | 1.32451i | ||||
\(268\) | 8.60576 | + | 1.32837i | 0.525680 | + | 0.0811430i | ||||
\(269\) | 13.2566 | − | 13.2566i | 0.808267 | − | 0.808267i | −0.176105 | − | 0.984371i | \(-0.556350\pi\) |
0.984371 | + | 0.176105i | \(0.0563498\pi\) | |||||||
\(270\) | 28.2907 | + | 1.17403i | 1.72172 | + | 0.0714490i | ||||
\(271\) | 10.4494i | 0.634755i | 0.948299 | + | 0.317377i | \(0.102802\pi\) | ||||
−0.948299 | + | 0.317377i | \(0.897198\pi\) | |||||||
\(272\) | 7.62110 | − | 6.97132i | 0.462097 | − | 0.422699i | ||||
\(273\) | 2.44726 | − | 1.31058i | 0.148115 | − | 0.0793197i | ||||
\(274\) | 1.03290 | − | 2.03707i | 0.0623998 | − | 0.123064i | ||||
\(275\) | −37.0013 | + | 9.91448i | −2.23126 | + | 0.597866i | ||||
\(276\) | −0.797692 | − | 2.26573i | −0.0480154 | − | 0.136381i | ||||
\(277\) | −15.6398 | − | 4.19068i | −0.939707 | − | 0.251794i | −0.243718 | − | 0.969846i | \(-0.578367\pi\) |
−0.695989 | + | 0.718052i | \(0.745034\pi\) | |||||||
\(278\) | −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 | −0.958434 | − | 0.285313i | \(-0.907902\pi\) |
0.232129 | − | 0.972685i | \(-0.425431\pi\) | |||||||
\(282\) | −10.2319 | − | 9.78360i | −0.609298 | − | 0.582605i | ||||
\(283\) | −8.50029 | + | 2.27765i | −0.505290 | + | 0.135392i | −0.502454 | − | 0.864604i | \(-0.667569\pi\) |
−0.00283598 | + | 0.999996i | \(0.500903\pi\) | |||||||
\(284\) | −17.2050 | − | 7.57928i | −1.02093 | − | 0.449748i | ||||
\(285\) | 25.9712 | + | 27.6852i | 1.53840 | + | 1.63993i | ||||
\(286\) | −5.00320 | − | 7.67121i | −0.295845 | − | 0.453608i | ||||
\(287\) | 9.58419 | 0.565737 | ||||||||
\(288\) | −12.6307 | + | 11.3343i | −0.744269 | + | 0.667880i | ||||
\(289\) | 10.3325 | 0.607792 | ||||||||
\(290\) | −17.7393 | − | 27.1990i | −1.04169 | − | 1.59718i | ||||
\(291\) | −5.95531 | + | 1.39355i | −0.349106 | + | 0.0816916i | ||||
\(292\) | 6.91550 | + | 3.04647i | 0.404699 | + | 0.178281i | ||||
\(293\) | −0.808690 | + | 0.216688i | −0.0472442 | + | 0.0126590i | −0.282364 | − | 0.959307i | \(-0.591118\pi\) |
0.235120 | + | 0.971966i | \(0.424452\pi\) | |||||||
\(294\) | −3.52748 | + | 14.4516i | −0.205727 | + | 0.842836i | ||||
\(295\) | −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 | ||||
\(299\) | 1.11502 | + | 0.298769i | 0.0644834 | + | 0.0172783i | ||||
\(300\) | −33.5288 | − | 6.27745i | −1.93579 | − | 0.362429i | ||||
\(301\) | 6.40494 | − | 1.71620i | 0.369175 | − | 0.0989201i | ||||
\(302\) | −12.2835 | + | 24.2252i | −0.706834 | + | 1.39401i | ||||
\(303\) | −27.9413 | − | 17.3444i | −1.60519 | − | 0.996409i | ||||
\(304\) | −22.7288 | − | 1.01208i | −1.30358 | − | 0.0580469i | ||||
\(305\) | − | 8.49106i | − | 0.486197i | ||||||
\(306\) | 10.9547 | + | 0.104527i | 0.626237 | + | 0.00597544i | ||||
\(307\) | −21.1593 | + | 21.1593i | −1.20763 | + | 1.20763i | −0.235831 | + | 0.971794i | \(0.575781\pi\) |
−0.971794 | + | 0.235831i | \(0.924219\pi\) | |||||||
\(308\) | −7.40297 | − | 1.14271i | −0.421823 | − | 0.0651118i | ||||
\(309\) | 4.08574 | + | 4.35538i | 0.232429 | + | 0.247769i | ||||
\(310\) | 6.02183 | + | 18.4101i | 0.342017 | + | 1.04562i | ||||
\(311\) | 10.8454 | + | 6.26157i | 0.614984 | + | 0.355061i | 0.774914 | − | 0.632067i | \(-0.217793\pi\) |
−0.159929 | + | 0.987128i | \(0.551127\pi\) | |||||||
\(312\) | −1.06566 | − | 8.08564i | −0.0603313 | − | 0.457759i | ||||
\(313\) | 28.1752 | − | 16.2670i | 1.59256 | − | 0.919463i | 0.599689 | − | 0.800233i | \(-0.295291\pi\) |
0.992867 | − | 0.119230i | \(-0.0380425\pi\) | |||||||
\(314\) | 19.8580 | + | 17.8097i | 1.12065 | + | 1.00506i | ||||
\(315\) | 2.18849 | + | 10.9120i | 0.123308 | + | 0.614820i | ||||
\(316\) | −2.38510 | − | 21.8657i | −0.134173 | − | 1.23004i | ||||
\(317\) | −13.4383 | − | 3.60078i | −0.754770 | − | 0.202240i | −0.139137 | − | 0.990273i | \(-0.544433\pi\) |
−0.615633 | + | 0.788033i | \(0.711100\pi\) | |||||||
\(318\) | 20.2968 | + | 11.1200i | 1.13819 | + | 0.623578i | ||||
\(319\) | 20.0759 | + | 11.5908i | 1.12404 | + | 0.648963i | ||||
\(320\) | 25.6527 | − | 17.0925i | 1.43403 | − | 0.955497i | ||||
\(321\) | 7.05047 | + | 13.1654i | 0.393519 | + | 0.734822i | ||||
\(322\) | 0.790801 | − | 0.515764i | 0.0440696 | − | 0.0287424i | ||||
\(323\) | 10.3852 | + | 10.3852i | 0.577846 | + | 0.577846i | ||||
\(324\) | −17.9967 | − | 0.343474i | −0.999818 | − | 0.0190819i | ||||
\(325\) | 11.5916 | − | 11.5916i | 0.642985 | − | 0.642985i | ||||
\(326\) | 20.0906 | + | 4.22914i | 1.11271 | + | 0.234230i | ||||
\(327\) | −8.56268 | + | 4.58557i | −0.473517 | + | 0.253582i | ||||
\(328\) | 9.93518 | − | 26.3452i | 0.548579 | − | 1.45467i | ||||
\(329\) | 2.78214 | − | 4.81880i | 0.153384 | − | 0.265669i | ||||
\(330\) | 35.2437 | − | 10.2946i | 1.94010 | − | 0.566700i | ||||
\(331\) | 1.41860 | − | 5.29427i | 0.0779731 | − | 0.291000i | −0.915918 | − | 0.401366i | \(-0.868536\pi\) |
0.993891 | + | 0.110366i | \(0.0352023\pi\) | |||||||
\(332\) | 14.1904 | + | 11.3991i | 0.778801 | + | 0.625609i | ||||
\(333\) | 8.80938 | − | 1.76680i | 0.482751 | − | 0.0968200i | ||||
\(334\) | −0.442855 | − | 8.14393i | −0.0242319 | − | 0.445616i | ||||
\(335\) | −8.38809 | − | 14.5286i | −0.458291 | − | 0.793783i | ||||
\(336\) | −5.50512 | − | 3.76651i | −0.300329 | − | 0.205480i | ||||
\(337\) | −4.44303 | + | 7.69556i | −0.242027 | + | 0.419204i | −0.961292 | − | 0.275533i | \(-0.911146\pi\) |
0.719264 | + | 0.694737i | \(0.244479\pi\) | |||||||
\(338\) | −12.9017 | − | 6.54184i | −0.701759 | − | 0.355829i | ||||
\(339\) | −8.07446 | + | 7.57456i | −0.438544 | + | 0.411394i | ||||
\(340\) | −19.6662 | − | 3.03564i | −1.06655 | − | 0.164631i | ||||
\(341\) | −9.77782 | − | 9.77782i | −0.529498 | − | 0.529498i | ||||
\(342\) | −16.8999 | − | 17.2255i | −0.913840 | − | 0.931448i | ||||
\(343\) | −12.5864 | −0.679602 | ||||||||
\(344\) | 1.92198 | − | 19.3851i | 0.103626 | − | 1.04517i | ||||
\(345\) | −2.44067 | + | 3.93186i | −0.131401 | + | 0.211684i | ||||
\(346\) | 3.50667 | + | 10.7207i | 0.188520 | + | 0.576349i | ||||
\(347\) | −3.55779 | − | 13.2779i | −0.190992 | − | 0.712793i | −0.993268 | − | 0.115839i | \(-0.963044\pi\) |
0.802276 | − | 0.596954i | \(-0.203622\pi\) | |||||||
\(348\) | 11.6612 | + | 17.0337i | 0.625108 | + | 0.913100i | ||||
\(349\) | 4.16907 | − | 15.5592i | 0.223165 | − | 0.832863i | −0.759966 | − | 0.649962i | \(-0.774785\pi\) |
0.983131 | − | 0.182901i | \(-0.0585487\pi\) | |||||||
\(350\) | −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 | −0.691214 | − | 0.722650i | \(-0.742924\pi\) |
0.280226 | + | 0.959934i | \(0.409591\pi\) | |||||||
\(354\) | 11.5231 | + | 18.9649i | 0.612447 | + | 1.00797i | ||||
\(355\) | 9.37467 | + | 34.9868i | 0.497556 | + | 1.85690i | ||||
\(356\) | 10.5257 | − | 23.8934i | 0.557860 | − | 1.26635i | ||||
\(357\) | 0.981096 | + | 4.19268i | 0.0519251 | + | 0.221900i | ||||
\(358\) | 0.611409 | − | 2.90451i | 0.0323140 | − | 0.153508i | ||||
\(359\) | − | 20.3164i | − | 1.07226i | −0.844136 | − | 0.536129i | \(-0.819886\pi\) | ||
0.844136 | − | 0.536129i | \(-0.180114\pi\) | |||||||
\(360\) | 32.2637 | + | 5.29582i | 1.70045 | + | 0.279114i | ||||
\(361\) | − | 13.3513i | − | 0.702699i | ||||||
\(362\) | 9.66585 | + | 2.03469i | 0.508026 | + | 0.106941i | ||||
\(363\) | −5.22108 | + | 4.89784i | −0.274036 | + | 0.257070i | ||||
\(364\) | 2.98810 | − | 1.16052i | 0.156619 | − | 0.0608278i | ||||
\(365\) | −3.76812 | − | 14.0628i | −0.197233 | − | 0.736082i | ||||
\(366\) | 0.120856 | + | 5.39645i | 0.00631725 | + | 0.282077i | ||||
\(367\) | 20.8621 | − | 12.0447i | 1.08899 | − | 0.628729i | 0.155683 | − | 0.987807i | \(-0.450242\pi\) |
0.933308 | + | 0.359078i | \(0.116909\pi\) | |||||||
\(368\) | −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 | ||||
\(371\) | −2.35435 | + | 8.78654i | −0.122232 | + | 0.456175i | ||||
\(372\) | −4.08918 | − | 11.6147i | −0.212014 | − | 0.602196i | ||||
\(373\) | 7.05873 | + | 26.3435i | 0.365487 | + | 1.36402i | 0.866759 | + | 0.498727i | \(0.166199\pi\) |
−0.501272 | + | 0.865290i | \(0.667134\pi\) | |||||||
\(374\) | 13.5018 | − | 4.41634i | 0.698159 | − | 0.228363i | ||||
\(375\) | 15.2720 | + | 28.5175i | 0.788640 | + | 1.47264i | ||||
\(376\) | −10.3620 | − | 12.6429i | −0.534379 | − | 0.652006i | ||||
\(377\) | −9.92039 | −0.510926 | ||||||||
\(378\) | −1.54620 | − | 6.90389i | −0.0795278 | − | 0.355098i | ||||
\(379\) | 26.4493 | + | 26.4493i | 1.35861 | + | 1.35861i | 0.875636 | + | 0.482971i | \(0.160442\pi\) |
0.482971 | + | 0.875636i | \(0.339558\pi\) | |||||||
\(380\) | 25.9033 | + | 35.3598i | 1.32881 | + | 1.81392i | ||||
\(381\) | 5.11823 | + | 1.54817i | 0.262215 | + | 0.0793153i | ||||
\(382\) | −4.86372 | + | 9.59215i | −0.248850 | + | 0.490777i | ||||
\(383\) | −14.2366 | + | 24.6585i | −0.727455 | + | 1.25999i | 0.230500 | + | 0.973072i | \(0.425964\pi\) |
−0.957955 | + | 0.286917i | \(0.907369\pi\) | |||||||
\(384\) | −16.0602 | + | 11.2281i | −0.819567 | + | 0.572983i | ||||
\(385\) | 7.21573 | + | 12.4980i | 0.367748 | + | 0.636957i | ||||
\(386\) | 2.72278 | − | 0.148061i | 0.138586 | − | 0.00753610i | ||||
\(387\) | 15.5128 | − | 13.6478i | 0.788559 | − | 0.693759i | ||||
\(388\) | −7.02071 | + | 0.765816i | −0.356423 | + | 0.0388784i | ||||
\(389\) | 5.20211 | − | 19.4146i | 0.263758 | − | 0.984357i | −0.699249 | − | 0.714878i | \(-0.746482\pi\) |
0.963006 | − | 0.269479i | \(-0.0868513\pi\) | |||||||
\(390\) | −10.8589 | + | 11.3564i | −0.549860 | + | 0.575053i | ||||
\(391\) | −0.895250 | + | 1.55062i | −0.0452747 | + | 0.0784182i | ||||
\(392\) | −6.06112 | + | 16.0723i | −0.306133 | + | 0.811775i | ||||
\(393\) | 0.290624 | − | 9.09789i | 0.0146600 | − | 0.458928i | ||||
\(394\) | −6.67765 | + | 31.7223i | −0.336415 | + | 1.59815i | ||||
\(395\) | −29.9646 | + | 29.9646i | −1.50768 | + | 1.50768i | ||||
\(396\) | −22.2524 | + | 7.04431i | −1.11823 | + | 0.353990i | ||||
\(397\) | 5.95094 | + | 5.95094i | 0.298669 | + | 0.298669i | 0.840492 | − | 0.541823i | \(-0.182266\pi\) |
−0.541823 | + | 0.840492i | \(0.682266\pi\) | |||||||
\(398\) | −5.06521 | − | 7.76628i | −0.253896 | − | 0.389289i | ||||
\(399\) | 5.00227 | − | 8.05853i | 0.250427 | − | 0.403431i | ||||
\(400\) | −37.5552 | − | 11.8769i | −1.87776 | − | 0.593844i | ||||
\(401\) | −4.11912 | − | 2.37818i | −0.205699 | − | 0.118761i | 0.393612 | − | 0.919277i | \(-0.371225\pi\) |
−0.599311 | + | 0.800516i | \(0.704559\pi\) | |||||||
\(402\) | 5.53779 | + | 9.11418i | 0.276200 | + | 0.454574i | ||||
\(403\) | 5.71590 | + | 1.53157i | 0.284729 | + | 0.0762929i | ||||
\(404\) | −29.6054 | − | 23.7819i | −1.47292 | − | 1.18320i | ||||
\(405\) | 21.1981 | + | 27.4455i | 1.05334 | + | 1.36378i | ||||
\(406\) | −5.41728 | + | 6.04033i | −0.268855 | + | 0.299776i | ||||
\(407\) | 10.0898 | − | 5.82535i | 0.500133 | − | 0.288752i | ||||
\(408\) | 12.5419 | + | 1.64937i | 0.620919 | + | 0.0816558i | ||||
\(409\) | −7.24880 | − | 4.18510i | −0.358430 | − | 0.206940i | 0.309962 | − | 0.950749i | \(-0.399684\pi\) |
−0.668392 | + | 0.743809i | \(0.733017\pi\) | |||||||
\(410\) | −51.5579 | + | 16.8643i | −2.54626 | + | 0.832867i | ||||
\(411\) | 2.72371 | − | 0.637353i | 0.134351 | − | 0.0314383i | ||||
\(412\) | 4.07506 | + | 5.56273i | 0.200764 | + | 0.274056i | ||||
\(413\) | −6.16758 | + | 6.16758i | −0.303487 | + | 0.303487i | ||||
\(414\) | 1.49519 | − | 2.53361i | 0.0734847 | − | 0.124520i | ||||
\(415\) | − | 35.0677i | − | 1.72141i | ||||||
\(416\) | −0.0925293 | − | 9.41678i | −0.00453662 | − | 0.461695i | ||||
\(417\) | 0.217998 | − | 6.82437i | 0.0106754 | − | 0.334191i | ||||
\(418\) | −27.9087 | − | 14.1512i | −1.36506 | − | 0.692157i | ||||
\(419\) | 30.9427 | − | 8.29108i | 1.51165 | − | 0.405046i | 0.594668 | − | 0.803971i | \(-0.297284\pi\) |
0.916983 | + | 0.398926i | \(0.130617\pi\) | |||||||
\(420\) | 0.984919 | + | 12.8132i | 0.0480591 | + | 0.625219i | ||||
\(421\) | −28.9049 | − | 7.74504i | −1.40874 | − | 0.377470i | −0.527264 | − | 0.849702i | \(-0.676782\pi\) |
−0.881475 | + | 0.472232i | \(0.843449\pi\) | |||||||
\(422\) | 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 | ||||
\(426\) | −6.45599 | − | 22.1022i | −0.312794 | − | 1.07085i | ||||
\(427\) | −2.04932 | + | 0.549113i | −0.0991735 | + | 0.0265734i | ||||
\(428\) | 6.24321 | + | 16.0750i | 0.301777 | + | 0.777015i | ||||
\(429\) | 3.24760 | − | 10.7365i | 0.156796 | − | 0.518363i | ||||
\(430\) | −31.4354 | + | 20.5023i | −1.51595 | + | 0.988710i | ||||
\(431\) | −10.3884 | −0.500389 | −0.250195 | − | 0.968196i | \(-0.580495\pi\) | ||||
−0.250195 | + | 0.968196i | \(0.580495\pi\) | |||||||
\(432\) | −20.5804 | − | 2.90651i | −0.990174 | − | 0.139839i | ||||
\(433\) | −3.31869 | −0.159486 | −0.0797429 | − | 0.996815i | \(-0.525410\pi\) | ||||
−0.0797429 | + | 0.996815i | \(0.525410\pi\) | |||||||
\(434\) | 4.05385 | − | 2.64394i | 0.194591 | − | 0.126913i | ||||
\(435\) | 11.5147 | − | 38.0672i | 0.552086 | − | 1.82518i | ||||
\(436\) | −10.4550 | + | 4.06053i | −0.500706 | + | 0.194464i | ||||
\(437\) | 3.80962 | − | 1.02078i | 0.182239 | − | 0.0488307i | ||||
\(438\) | 2.59497 | + | 8.88391i | 0.123992 | + | 0.424490i | ||||
\(439\) | 15.8616 | + | 27.4732i | 0.757035 | + | 1.31122i | 0.944356 | + | 0.328924i | \(0.106686\pi\) |
−0.187322 | + | 0.982299i | \(0.559981\pi\) | |||||||
\(440\) | 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 | ||||
\(443\) | 12.8638 | + | 3.44686i | 0.611180 | + | 0.163765i | 0.551115 | − | 0.834429i | \(-0.314203\pi\) |
0.0600649 | + | 0.998194i | \(0.480869\pi\) | |||||||
\(444\) | 10.3442 | − | 0.795138i | 0.490916 | − | 0.0377356i | ||||
\(445\) | −48.5877 | + | 13.0190i | −2.30328 | + | 0.617161i | ||||
\(446\) | −6.56905 | − | 3.33085i | −0.311053 | − | 0.157720i | ||||
\(447\) | −0.247021 | + | 7.73289i | −0.0116837 | + | 0.365753i | ||||
\(448\) | −5.78421 | − | 5.08593i | −0.273278 | − | 0.240288i | ||||
\(449\) | − | 13.0580i | − | 0.616243i | −0.951347 | − | 0.308121i | \(-0.900300\pi\) | ||
0.951347 | − | 0.308121i | \(-0.0997003\pi\) | |||||||
\(450\) | −20.5427 | − | 36.3783i | −0.968394 | − | 1.71489i | ||||
\(451\) | 27.3830 | − | 27.3830i | 1.28941 | − | 1.28941i | ||||
\(452\) | −10.3128 | + | 7.55477i | −0.485072 | + | 0.355347i | ||||
\(453\) | −32.3909 | + | 7.57953i | −1.52186 | + | 0.356118i | ||||
\(454\) | −8.74714 | + | 2.86113i | −0.410524 | + | 0.134280i | ||||
\(455\) | −5.34841 | − | 3.08790i | −0.250737 | − | 0.144763i | ||||
\(456\) | −16.9660 | − | 22.1040i | −0.794505 | − | 1.03511i | ||||
\(457\) | 10.0451 | − | 5.79955i | 0.469890 | − | 0.271291i | −0.246303 | − | 0.969193i | \(-0.579216\pi\) |
0.716194 | + | 0.697901i | \(0.245883\pi\) | |||||||
\(458\) | 3.90547 | − | 4.35465i | 0.182491 | − | 0.203479i | ||||
\(459\) | 8.53644 | + | 10.3515i | 0.398447 | + | 0.483165i | ||||
\(460\) | −3.34656 | + | 4.16603i | −0.156034 | + | 0.194242i | ||||
\(461\) | −13.3098 | − | 3.56634i | −0.619898 | − | 0.166101i | −0.0648164 | − | 0.997897i | \(-0.520646\pi\) |
−0.555081 | + | 0.831796i | \(0.687313\pi\) | |||||||
\(462\) | −4.76380 | − | 7.84033i | −0.221632 | − | 0.364765i | ||||
\(463\) | 11.4905 | + | 6.63406i | 0.534010 | + | 0.308311i | 0.742648 | − | 0.669682i | \(-0.233570\pi\) |
−0.208638 | + | 0.977993i | \(0.566903\pi\) | |||||||
\(464\) | 10.9881 | + | 21.1527i | 0.510110 | + | 0.981988i | ||||
\(465\) | −12.5115 | + | 20.1557i | −0.580208 | + | 0.934700i | ||||
\(466\) | 13.3019 | + | 20.3952i | 0.616197 | + | 0.944790i | ||||
\(467\) | −28.1581 | − | 28.1581i | −1.30300 | − | 1.30300i | −0.926357 | − | 0.376647i | \(-0.877077\pi\) |
−0.376647 | − | 0.926357i | \(-0.622923\pi\) | |||||||
\(468\) | 6.73964 | − | 7.37204i | 0.311540 | − | 0.340773i | ||||
\(469\) | −2.96402 | + | 2.96402i | −0.136866 | + | 0.136866i | ||||
\(470\) | −6.48730 | + | 30.8180i | −0.299237 | + | 1.42153i | ||||
\(471\) | −1.04306 | + | 32.6527i | −0.0480617 | + | 1.50456i | ||||
\(472\) | 10.5601 | + | 23.3470i | 0.486069 | + | 1.07463i | ||||
\(473\) | 13.3962 | − | 23.2029i | 0.615958 | − | 1.06687i | ||||
\(474\) | 18.6173 | − | 19.4703i | 0.855122 | − | 0.894301i | ||||
\(475\) | 14.4961 | − | 54.1002i | 0.665127 | − | 2.48229i | ||||
\(476\) | 0.539153 | + | 4.94275i | 0.0247121 | + | 0.226551i | ||||
\(477\) | 5.57377 | + | 27.7912i | 0.255206 | + | 1.27247i | ||||
\(478\) | −12.6885 | + | 0.689983i | −0.580360 | + | 0.0315591i | ||||
\(479\) | −3.40138 | − | 5.89137i | −0.155413 | − | 0.269183i | 0.777796 | − | 0.628517i | \(-0.216338\pi\) |
−0.933209 | + | 0.359333i | \(0.883004\pi\) | |||||||
\(480\) | 36.2421 | + | 10.5751i | 1.65422 | + | 0.482683i | ||||
\(481\) | −2.49291 | + | 4.31784i | −0.113667 | + | 0.196877i | ||||
\(482\) | −0.717349 | + | 1.41474i | −0.0326743 | + | 0.0644397i | ||||
\(483\) | 1.10679 | + | 0.334785i | 0.0503608 | + | 0.0152332i | ||||
\(484\) | −6.66841 | + | 4.88504i | −0.303109 | + | 0.222047i | ||||
\(485\) | 9.62112 | + | 9.62112i | 0.436873 | + | 0.436873i | ||||
\(486\) | −13.8630 | − | 17.1411i | −0.628837 | − | 0.777537i | ||||
\(487\) | −10.9714 | −0.497160 | −0.248580 | − | 0.968611i | \(-0.579964\pi\) | ||||
−0.248580 | + | 0.968611i | \(0.579964\pi\) | |||||||
\(488\) | −0.614954 | + | 6.20243i | −0.0278377 | + | 0.280771i | ||||
\(489\) | 11.8709 | + | 22.1666i | 0.536819 | + | 1.00241i | ||||
\(490\) | 31.4537 | − | 10.2883i | 1.42093 | − | 0.464779i | ||||
\(491\) | −1.87065 | − | 6.98135i | −0.0844211 | − | 0.315064i | 0.910783 | − | 0.412886i | \(-0.135479\pi\) |
−0.995204 | + | 0.0978219i | \(0.968812\pi\) | |||||||
\(492\) | 32.5273 | − | 11.4518i | 1.46644 | − | 0.516288i | ||||
\(493\) | 3.98253 | − | 14.8630i | 0.179364 | − | 0.669397i | ||||
\(494\) | 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 | ||||
\(498\) | 0.499130 | + | 22.2871i | 0.0223665 | + | 0.998708i | ||||
\(499\) | −6.80645 | − | 25.4020i | −0.304698 | − | 1.13715i | −0.933205 | − | 0.359346i | \(-0.883000\pi\) |
0.628506 | − | 0.777805i | \(-0.283667\pi\) | |||||||
\(500\) | 13.5234 | + | 34.8199i | 0.604783 | + | 1.55719i | ||||
\(501\) | 7.28518 | − | 6.83415i | 0.325478 | − | 0.305327i | ||||
\(502\) | −1.36854 | − | 0.288083i | −0.0610810 | − | 0.0128578i | ||||
\(503\) | 1.37571i | 0.0613400i | 0.999530 | + | 0.0306700i | \(0.00976410\pi\) | ||||
−0.999530 | + | 0.0306700i | \(0.990236\pi\) | |||||||
\(504\) | −0.808333 | − | 8.12932i | −0.0360060 | − | 0.362109i | ||||
\(505\) | 73.1616i | 3.25565i | ||||||||
\(506\) | 0.785806 | − | 3.73298i | 0.0349333 | − | 0.165951i | ||||
\(507\) | −4.03665 | − | 17.2505i | −0.179274 | − | 0.766121i | ||||
\(508\) | 5.65049 | + | 2.48920i | 0.250700 | + | 0.110440i | ||||
\(509\) | −3.94915 | − | 14.7384i | −0.175043 | − | 0.653269i | −0.996544 | − | 0.0830623i | \(-0.973530\pi\) |
0.821502 | − | 0.570206i | \(-0.193137\pi\) | |||||||
\(510\) | −12.6552 | − | 20.8281i | −0.560381 | − | 0.922283i | ||||
\(511\) | −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 | ||||
\(515\) | 3.43845 | − | 12.8325i | 0.151516 | − | 0.565467i | ||||
\(516\) | 19.6868 | − | 13.4776i | 0.866661 | − | 0.593316i | ||||
\(517\) | −5.81895 | − | 21.7166i | −0.255917 | − | 0.955096i | ||||
\(518\) | 1.26773 | + | 3.87575i | 0.0557009 | + | 0.170291i | ||||
\(519\) | −7.28580 | + | 11.7372i | −0.319811 | + | 0.515207i | ||||
\(520\) | −14.0324 | + | 11.5008i | −0.615360 | + | 0.504344i | ||||
\(521\) | 23.4677 | 1.02814 | 0.514070 | − | 0.857748i | \(-0.328137\pi\) | ||||
0.514070 | + | 0.857748i | \(0.328137\pi\) | |||||||
\(522\) | −6.77626 | + | 24.3573i | −0.296589 | + | 1.06609i | ||||
\(523\) | −30.0762 | − | 30.0762i | −1.31514 | − | 1.31514i | −0.917573 | − | 0.397567i | \(-0.869855\pi\) |
−0.397567 | − | 0.917573i | \(-0.630145\pi\) | |||||||
\(524\) | 1.60342 | − | 10.3877i | 0.0700458 | − | 0.453788i | ||||
\(525\) | 11.9761 | − | 11.2346i | 0.522678 | − | 0.490319i | ||||
\(526\) | 17.7854 | + | 9.01811i | 0.775478 | + | 0.393208i | ||||
\(527\) | −4.58929 | + | 7.94888i | −0.199912 | + | 0.346259i | ||||
\(528\) | −26.4899 | + | 4.96738i | −1.15283 | + | 0.216177i | ||||
\(529\) | −11.2596 | − | 19.5022i | −0.489547 | − | 0.847921i | ||||
\(530\) | −2.79558 | − | 51.4096i | −0.121432 | − | 2.23309i | ||||
\(531\) | −8.69551 | + | 25.7500i | −0.377353 | + | 1.11746i | ||||
\(532\) | 6.85892 | − | 8.53846i | 0.297372 | − | 0.370189i | ||||
\(533\) | −4.28919 | + | 16.0075i | −0.185786 | + | 0.693361i | ||||
\(534\) | 30.6943 | − | 8.96573i | 1.32827 | − | 0.387985i | ||||
\(535\) | 16.6119 | − | 28.7727i | 0.718195 | − | 1.24395i | ||||
\(536\) | 5.07500 | + | 11.2201i | 0.219207 | + | 0.484636i | ||||
\(537\) | 3.20464 | − | 1.71618i | 0.138290 | − | 0.0740585i | ||||
\(538\) | 25.9445 | + | 5.46141i | 1.11855 | + | 0.235458i | ||||
\(539\) | −16.7054 | + | 16.7054i | −0.719553 | + | 0.719553i | ||||
\(540\) | 20.4658 | + | 34.4186i | 0.880706 | + | 1.48114i | ||||
\(541\) | −18.7809 | − | 18.7809i | −0.807453 | − | 0.807453i | 0.176795 | − | 0.984248i | \(-0.443427\pi\) |
−0.984248 | + | 0.176795i | \(0.943427\pi\) | |||||||
\(542\) | −12.3777 | + | 8.07283i | −0.531670 | + | 0.346758i | ||||
\(543\) | 5.71123 | + | 10.6646i | 0.245092 | + | 0.457664i | ||||
\(544\) | 14.1456 | + | 3.64173i | 0.606489 | + | 0.156138i | ||||
\(545\) | 18.7135 | + | 10.8042i | 0.801598 | + | 0.462803i | ||||
\(546\) | 3.44310 | + | 1.88637i | 0.147351 | + | 0.0807293i | ||||
\(547\) | −14.9578 | − | 4.00793i | −0.639548 | − | 0.171366i | −0.0755496 | − | 0.997142i | \(-0.524071\pi\) |
−0.563999 | + | 0.825776i | \(0.690738\pi\) | |||||||
\(548\) | 3.21098 | − | 0.350252i | 0.137166 | − | 0.0149620i | ||||
\(549\) | −4.96345 | + | 4.36675i | −0.211835 | + | 0.186368i | ||||
\(550\) | −40.3301 | − | 36.1701i | −1.71968 | − | 1.54230i | ||||
\(551\) | −29.3533 | + | 16.9471i | −1.25049 | + | 0.721972i | ||||
\(552\) | 2.06759 | − | 2.69533i | 0.0880024 | − | 0.114721i | ||||
\(553\) | 9.16975 | + | 5.29416i | 0.389937 | + | 0.225130i | ||||
\(554\) | −7.11875 | − | 21.7637i | −0.302447 | − | 0.924649i | ||||
\(555\) | −13.6752 | − | 14.5777i | −0.580479 | − | 0.618789i | ||||
\(556\) | 1.20273 | − | 7.79184i | 0.0510072 | − | 0.330448i | ||||
\(557\) | −31.8166 | + | 31.8166i | −1.34811 | + | 1.34811i | −0.460398 | + | 0.887712i | \(0.652293\pi\) |
−0.887712 | + | 0.460398i | \(0.847707\pi\) | |||||||
\(558\) | 7.66475 | − | 12.9879i | 0.324475 | − | 0.549824i | ||||
\(559\) | 11.4656i | 0.484941i | ||||||||
\(560\) | −0.660109 | + | 14.8243i | −0.0278947 | + | 0.626443i | ||||
\(561\) | 14.7820 | + | 9.17580i | 0.624096 | + | 0.387403i | ||||
\(562\) | 15.5735 | − | 30.7137i | 0.656927 | − | 1.29558i | ||||
\(563\) | 33.0941 | − | 8.86755i | 1.39475 | − | 0.373723i | 0.518294 | − | 0.855202i | \(-0.326567\pi\) |
0.876457 | + | 0.481480i | \(0.159900\pi\) | |||||||
\(564\) | 3.68432 | − | 19.6785i | 0.155138 | − | 0.828616i | ||||
\(565\) | 23.7902 | + | 6.37456i | 1.00086 | + | 0.268180i | ||||
\(566\) | −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 | \(-0.200755\pi\) |
−0.914507 | + | 0.404569i | \(0.867421\pi\) | |||||||
\(570\) | −12.7299 | + | 52.1526i | −0.533195 | + | 2.18443i | ||||
\(571\) | −6.68977 | + | 1.79252i | −0.279958 | + | 0.0750146i | −0.396066 | − | 0.918222i | \(-0.629625\pi\) |
0.116108 | + | 0.993237i | \(0.462958\pi\) | |||||||
\(572\) | 5.22158 | − | 11.8530i | 0.218325 | − | 0.495599i | ||||
\(573\) | −12.8254 | + | 3.00117i | −0.535788 | + | 0.125376i | ||||
\(574\) | 7.40442 | + | 11.3529i | 0.309054 | + | 0.473861i | ||||
\(575\) | 6.82812 | 0.284752 | ||||||||
\(576\) | −23.1840 | − | 6.20507i | −0.965999 | − | 0.258545i | ||||
\(577\) | 18.2939 | 0.761585 | 0.380793 | − | 0.924660i | \(-0.375651\pi\) | ||||
0.380793 | + | 0.924660i | \(0.375651\pi\) | |||||||
\(578\) | 7.98250 | + | 12.2393i | 0.332028 | + | 0.509086i | ||||
\(579\) | 2.28488 | + | 2.43568i | 0.0949564 | + | 0.101223i | ||||
\(580\) | 18.5136 | − | 42.0260i | 0.768735 | − | 1.74503i | ||||
\(581\) | −8.46359 | + | 2.26781i | −0.351129 | + | 0.0940847i | ||||
\(582\) | −6.25159 | − | 5.97771i | −0.259137 | − | 0.247784i | ||||
\(583\) | 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 | ||||
\(587\) | 13.8472 | + | 3.71035i | 0.571536 | + | 0.153143i | 0.533001 | − | 0.846115i | \(-0.321064\pi\) |
0.0385349 | + | 0.999257i | \(0.487731\pi\) | |||||||
\(588\) | −19.8438 | + | 6.98637i | −0.818344 | + | 0.288113i | ||||
\(589\) | 19.5291 | − | 5.23280i | 0.804682 | − | 0.215614i | ||||
\(590\) | 22.3259 | − | 44.0308i | 0.919143 | − | 1.81272i | ||||
\(591\) | −35.0003 | + | 18.7437i | −1.43972 | + | 0.771011i | ||||
\(592\) | 11.9679 | + | 0.532915i | 0.491877 | + | 0.0219027i | ||||
\(593\) | − | 16.9058i | − | 0.694238i | −0.937821 | − | 0.347119i | \(-0.887160\pi\) | ||
0.937821 | − | 0.347119i | \(-0.112840\pi\) | |||||||
\(594\) | −24.1427 | − | 15.3075i | −0.990588 | − | 0.628072i | ||||
\(595\) | 6.77350 | − | 6.77350i | 0.277687 | − | 0.277687i | ||||
\(596\) | −1.36285 | + | 8.82917i | −0.0558246 | + | 0.361657i | ||||
\(597\) | 3.28785 | − | 10.8696i | 0.134563 | − | 0.444861i | ||||
\(598\) | 0.507522 | + | 1.55161i | 0.0207541 | + | 0.0634501i | ||||
\(599\) | −18.4047 | − | 10.6260i | −0.751997 | − | 0.434166i | 0.0744181 | − | 0.997227i | \(-0.476290\pi\) |
−0.826415 | + | 0.563062i | \(0.809623\pi\) | |||||||
\(600\) | −18.4673 | − | 44.5661i | −0.753924 | − | 1.81940i | ||||
\(601\) | −28.1475 | + | 16.2510i | −1.14816 | + | 0.662891i | −0.948438 | − | 0.316962i | \(-0.897337\pi\) |
−0.199722 | + | 0.979853i | \(0.564004\pi\) | |||||||
\(602\) | 6.98115 | + | 6.26106i | 0.284530 | + | 0.255182i | ||||
\(603\) | −4.17890 | + | 12.3750i | −0.170178 | + | 0.503948i | ||||
\(604\) | −38.1856 | + | 4.16527i | −1.55375 | + | 0.169482i | ||||
\(605\) | 15.3831 | + | 4.12190i | 0.625413 | + | 0.167579i | ||||
\(606\) | −1.04133 | − | 46.4974i | −0.0423012 | − | 1.88883i | ||||
\(607\) | 9.86566 | + | 5.69594i | 0.400435 | + | 0.231191i | 0.686672 | − | 0.726968i | \(-0.259071\pi\) |
−0.286237 | + | 0.958159i | \(0.592404\pi\) | |||||||
\(608\) | −16.3606 | − | 27.7051i | −0.663509 | − | 1.12359i | ||||
\(609\) | −9.93217 | − | 0.317275i | −0.402472 | − | 0.0128566i | ||||
\(610\) | 10.0580 | − | 6.55990i | 0.407238 | − | 0.265603i | ||||
\(611\) | 6.80326 | + | 6.80326i | 0.275230 | + | 0.275230i | ||||
\(612\) | 8.33938 | + | 13.0570i | 0.337099 | + | 0.527799i | ||||
\(613\) | 12.9149 | − | 12.9149i | 0.521630 | − | 0.521630i | −0.396434 | − | 0.918063i | \(-0.629752\pi\) |
0.918063 | + | 0.396434i | \(0.129752\pi\) | |||||||
\(614\) | −41.4111 | − | 8.71717i | −1.67121 | − | 0.351796i | ||||
\(615\) | −56.4466 | − | 35.0388i | −2.27615 | − | 1.41290i | ||||
\(616\) | −4.36569 | − | 9.65195i | −0.175899 | − | 0.388888i | ||||
\(617\) | 5.36926 | − | 9.29983i | 0.216158 | − | 0.374397i | −0.737472 | − | 0.675378i | \(-0.763981\pi\) |
0.953630 | + | 0.300981i | \(0.0973139\pi\) | |||||||
\(618\) | −2.00264 | + | 8.20455i | −0.0805580 | + | 0.330035i | ||||
\(619\) | −4.04330 | + | 15.0898i | −0.162514 | + | 0.606510i | 0.835830 | + | 0.548988i | \(0.184987\pi\) |
−0.998344 | + | 0.0575222i | \(0.981680\pi\) | |||||||
\(620\) | −17.1553 | + | 21.3561i | −0.688974 | + | 0.857683i | ||||
\(621\) | 3.55355 | − | 0.595366i | 0.142599 | − | 0.0238912i | ||||
\(622\) | 0.961645 | + | 17.6843i | 0.0385585 | + | 0.709075i | ||||
\(623\) | 6.28428 | + | 10.8847i | 0.251774 | + | 0.436086i | ||||
\(624\) | 8.75449 | − | 7.50901i | 0.350460 | − | 0.300601i | ||||
\(625\) | 11.3651 | − | 19.6849i | 0.454603 | − | 0.787396i | ||||
\(626\) | 41.0361 | + | 20.8075i | 1.64013 | + | 0.831633i | ||||
\(627\) | −8.73202 | − | 37.3160i | −0.348723 | − | 1.49026i | ||||
\(628\) | −5.75474 | + | 37.2817i | −0.229639 | + | 1.48770i | ||||
\(629\) | −5.46834 | − | 5.46834i | −0.218037 | − | 0.218037i | ||||
\(630\) | −11.2350 | + | 11.0226i | −0.447611 | + | 0.439150i | ||||
\(631\) | 39.5399 | 1.57406 | 0.787029 | − | 0.616916i | \(-0.211618\pi\) | ||||
0.787029 | + | 0.616916i | \(0.211618\pi\) | |||||||
\(632\) | 24.0582 | − | 19.7180i | 0.956986 | − | 0.784338i | ||||
\(633\) | 10.4604 | + | 0.334147i | 0.415762 | + | 0.0132812i | ||||
\(634\) | −6.11668 | − | 18.7001i | −0.242924 | − | 0.742675i | ||||
\(635\) | −3.07884 | − | 11.4904i | −0.122180 | − | 0.455982i | ||||
\(636\) | 2.50844 | + | 32.6333i | 0.0994663 | + | 1.29399i | ||||
\(637\) | 2.61669 | − | 9.76562i | 0.103677 | − | 0.386928i | ||||
\(638\) | 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 | −0.825493 | − | 0.564412i | \(-0.809103\pi\) |
0.0760486 | + | 0.997104i | \(0.475770\pi\) | |||||||
\(642\) | −10.1481 | + | 18.5227i | −0.400512 | + | 0.731034i | ||||
\(643\) | 11.1343 | + | 41.5536i | 0.439092 | + | 1.63871i | 0.731080 | + | 0.682292i | \(0.239017\pi\) |
−0.291988 | + | 0.956422i | \(0.594317\pi\) | |||||||
\(644\) | 1.22189 | + | 0.538277i | 0.0481492 | + | 0.0212111i | ||||
\(645\) | −43.9964 | − | 13.3082i | −1.73236 | − | 0.524008i | ||||
\(646\) | −4.27846 | + | 20.3249i | −0.168334 | + | 0.799672i | ||||
\(647\) | − | 31.4508i | − | 1.23646i | −0.785998 | − | 0.618229i | \(-0.787851\pi\) | ||
0.785998 | − | 0.618229i | \(-0.212149\pi\) | |||||||
\(648\) | −13.4968 | − | 21.5833i | −0.530204 | − | 0.847870i | ||||
\(649\) | 35.2428i | 1.38340i | ||||||||
\(650\) | 22.6860 | + | 4.77548i | 0.889817 | + | 0.187310i | ||||
\(651\) | 5.67370 | + | 1.71620i | 0.222370 | + | 0.0672630i | ||||
\(652\) | 10.5117 | + | 27.0655i | 0.411670 | + | 1.05997i | ||||
\(653\) | 10.1932 | + | 38.0415i | 0.398891 | + | 1.48868i | 0.815051 | + | 0.579389i | \(0.196709\pi\) |
−0.416160 | + | 0.909291i | \(0.636624\pi\) | |||||||
\(654\) | −12.0470 | − | 6.60022i | −0.471076 | − | 0.258089i | ||||
\(655\) | −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 | ||||
\(659\) | −0.390374 | + | 1.45690i | −0.0152068 | + | 0.0567526i | −0.973112 | − | 0.230331i | \(-0.926019\pi\) |
0.957906 | + | 0.287084i | \(0.0926858\pi\) | |||||||
\(660\) | 39.4225 | + | 33.7945i | 1.53452 | + | 1.31545i | ||||
\(661\) | 9.57641 | + | 35.7396i | 0.372479 | + | 1.39011i | 0.856993 | + | 0.515328i | \(0.172330\pi\) |
−0.484514 | + | 0.874783i | \(0.661004\pi\) | |||||||
\(662\) | 7.36725 | − | 2.40978i | 0.286336 | − | 0.0936589i | ||||
\(663\) | −7.44166 | − | 0.237717i | −0.289010 | − | 0.00923218i | ||||
\(664\) | −2.53973 | + | 25.6158i | −0.0985608 | + | 0.994084i | ||||
\(665\) | −21.1004 | −0.818240 | ||||||||
\(666\) | 8.89867 | + | 9.07013i | 0.344817 | + | 0.351460i | ||||
\(667\) | −2.92185 | − | 2.92185i | −0.113134 | − | 0.113134i | ||||
\(668\) | 9.30470 | − | 6.81630i | 0.360010 | − | 0.263730i | ||||
\(669\) | −2.05531 | − | 8.78329i | −0.0794628 | − | 0.339582i | ||||
\(670\) | 10.7294 | − | 21.1604i | 0.414513 | − | 0.817496i | ||||
\(671\) | −4.28623 | + | 7.42397i | −0.165468 | + | 0.286599i | ||||
\(672\) | 0.208529 | − | 9.43092i | 0.00804417 | − | 0.363806i | ||||
\(673\) | 1.54334 | + | 2.67314i | 0.0594912 | + | 0.103042i | 0.894237 | − | 0.447594i | \(-0.147719\pi\) |
−0.834746 | + | 0.550635i | \(0.814386\pi\) | |||||||
\(674\) | −12.5483 | + | 0.682355i | −0.483341 | + | 0.0262833i | ||||
\(675\) | 17.9098 | − | 47.9303i | 0.689350 | − | 1.84484i | ||||
\(676\) | −2.21831 | − | 20.3366i | −0.0853196 | − | 0.782177i | ||||
\(677\) | −10.6718 | + | 39.8275i | −0.410149 | + | 1.53070i | 0.384209 | + | 0.923246i | \(0.374474\pi\) |
−0.794358 | + | 0.607450i | \(0.792193\pi\) | |||||||
\(678\) | −15.2104 | − | 3.71270i | −0.584153 | − | 0.142585i | ||||
\(679\) | 1.69986 | − | 2.94425i | 0.0652348 | − | 0.112990i | ||||
\(680\) | −11.5976 | − | 25.6407i | −0.444747 | − | 0.983276i | ||||
\(681\) | −9.57653 | − | 5.94456i | −0.366974 | − | 0.227796i | ||||
\(682\) | 4.02825 | − | 19.1362i | 0.154250 | − | 0.732765i | ||||
\(683\) | 15.0423 | − | 15.0423i | 0.575578 | − | 0.575578i | −0.358104 | − | 0.933682i | \(-0.616577\pi\) |
0.933682 | + | 0.358104i | \(0.116577\pi\) | |||||||
\(684\) | 7.34809 | − | 33.3264i | 0.280961 | − | 1.27427i | ||||
\(685\) | −4.40030 | − | 4.40030i | −0.168127 | − | 0.168127i | ||||
\(686\) | −9.72382 | − | 14.9092i | −0.371257 | − | 0.569234i | ||||
\(687\) | 7.16039 | + | 0.228732i | 0.273186 | + | 0.00872668i | ||||
\(688\) | 24.4473 | − | 12.6996i | 0.932046 | − | 0.484167i | ||||
\(689\) | −13.6216 | − | 7.86444i | −0.518942 | − | 0.299611i | ||||
\(690\) | −6.54304 | + | 0.146535i | −0.249089 | + | 0.00557847i | ||||
\(691\) | −42.4064 | − | 11.3628i | −1.61321 | − | 0.432260i | −0.664216 | − | 0.747540i | \(-0.731235\pi\) |
−0.948998 | + | 0.315281i | \(0.897901\pi\) | |||||||
\(692\) | −9.99000 | + | 12.4363i | −0.379763 | + | 0.472755i | ||||
\(693\) | 3.59483 | − | 10.6454i | 0.136556 | − | 0.404384i | ||||
\(694\) | 12.9796 | − | 14.4724i | 0.492698 | − | 0.549364i | ||||
\(695\) | −13.1545 | + | 7.59476i | −0.498979 | + | 0.288086i | ||||
\(696\) | −11.1680 | + | 26.9729i | −0.423323 | + | 1.02240i | ||||
\(697\) | −22.2610 | − | 12.8524i | −0.843195 | − | 0.486819i | ||||
\(698\) | 21.6514 | − | 7.08203i | 0.819517 | − | 0.268059i | ||||
\(699\) | −8.63430 | + | 28.5448i | −0.326579 | + | 1.07966i | ||||
\(700\) | 15.2959 | − | 11.2053i | 0.578132 | − | 0.423519i | ||||
\(701\) | 7.87056 | − | 7.87056i | 0.297267 | − | 0.297267i | −0.542676 | − | 0.839942i | \(-0.682589\pi\) |
0.839942 | + | 0.542676i | \(0.182589\pi\) | |||||||
\(702\) | 12.2228 | + | 0.507230i | 0.461321 | + | 0.0191442i | ||||
\(703\) | 17.0347i | 0.642474i | ||||||||
\(704\) | −31.0571 | + | 1.99507i | −1.17051 | + | 0.0751920i | ||||
\(705\) | −34.0025 | + | 18.2094i | −1.28061 | + | 0.685804i | ||||
\(706\) | −11.2465 | − | 5.70255i | −0.423267 | − | 0.214618i | ||||
\(707\) | 17.6575 | − | 4.73132i | 0.664080 | − | 0.177940i | ||||
\(708\) | −13.5624 | + | 28.3013i | −0.509706 | + | 1.06363i | ||||
\(709\) | 27.9701 | + | 7.49458i | 1.05044 | + | 0.281465i | 0.742434 | − | 0.669919i | \(-0.233671\pi\) |
0.308007 | + | 0.951384i | \(0.400338\pi\) | |||||||
\(710\) | −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 | ||||
\(714\) | −4.20845 | + | 4.40127i | −0.157497 | + | 0.164713i | ||||
\(715\) | −24.1034 | + | 6.45848i | −0.901414 | + | 0.241533i | ||||
\(716\) | 3.91287 | − | 1.51968i | 0.146231 | − | 0.0567931i | ||||
\(717\) | −10.6479 | − | 11.3506i | −0.397651 | − | 0.423895i | ||||
\(718\) | 24.0656 | − | 15.6957i | 0.898122 | − | 0.585760i | ||||
\(719\) | −0.674555 | −0.0251567 | −0.0125783 | − | 0.999921i | \(-0.504004\pi\) | ||||
−0.0125783 | + | 0.999921i | \(0.504004\pi\) | |||||||
\(720\) | 18.6527 | + | 42.3091i | 0.695145 | + | 1.57677i | ||||
\(721\) | −3.31948 | −0.123624 | ||||||||
\(722\) | 15.8152 | − | 10.3147i | 0.588580 | − | 0.383875i | ||||
\(723\) | −1.89161 | + | 0.442641i | −0.0703498 | + | 0.0164620i | ||||
\(724\) | 5.05731 | + | 13.0215i | 0.187954 | + | 0.483942i | ||||
\(725\) | −56.6805 | + | 15.1875i | −2.10506 | + | 0.564049i | ||||
\(726\) | −9.83532 | − | 2.40069i | −0.365023 | − | 0.0890981i | ||||
\(727\) | −1.32251 | − | 2.29066i | −0.0490493 | − | 0.0849559i | 0.840458 | − | 0.541876i | \(-0.182286\pi\) |
−0.889508 | + | 0.456920i | \(0.848952\pi\) | |||||||
\(728\) | 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 | ||||
\(731\) | −17.1780 | − | 4.60284i | −0.635352 | − | 0.170242i | ||||
\(732\) | −6.29895 | + | 4.31227i | −0.232816 | + | 0.159386i | ||||
\(733\) | −19.9416 | + | 5.34335i | −0.736562 | + | 0.197361i | −0.607549 | − | 0.794282i | \(-0.707847\pi\) |
−0.129012 | + | 0.991643i | \(0.541181\pi\) | |||||||
\(734\) | 30.3848 | + | 15.4067i | 1.12152 | + | 0.568671i | ||||
\(735\) | 34.4361 | + | 21.3760i | 1.27020 | + | 0.788465i | ||||
\(736\) | 2.74626 | − | 2.80077i | 0.101229 | − | 0.103238i | ||||
\(737\) | 16.9370i | 0.623883i | ||||||||
\(738\) | 36.3730 | + | 21.4653i | 1.33891 | + | 0.790148i | ||||
\(739\) | −27.6094 | + | 27.6094i | −1.01563 | + | 1.01563i | −0.0157506 | + | 0.999876i | \(0.505014\pi\) |
−0.999876 | + | 0.0157506i | \(0.994986\pi\) | |||||||
\(740\) | −13.6395 | − | 18.6188i | −0.501396 | − | 0.684440i | ||||
\(741\) | 11.2207 | + | 11.9612i | 0.412201 | + | 0.439405i | ||||
\(742\) | −12.2269 | + | 3.99935i | −0.448865 | + | 0.146821i | ||||
\(743\) | 16.4755 | + | 9.51215i | 0.604429 | + | 0.348967i | 0.770782 | − | 0.637099i | \(-0.219866\pi\) |
−0.166353 | + | 0.986066i | \(0.553199\pi\) | |||||||
\(744\) | 10.5990 | − | 13.8169i | 0.388578 | − | 0.506554i | ||||
\(745\) | 14.9058 | − | 8.60585i | 0.546105 | − | 0.315294i | ||||
\(746\) | −25.7517 | + | 28.7135i | −0.942838 | + | 1.05127i | ||||
\(747\) | −20.4988 | + | 18.0345i | −0.750013 | + | 0.659847i | ||||
\(748\) | 15.6623 | + | 12.5815i | 0.572672 | + | 0.460025i | ||||
\(749\) | −8.01857 | − | 2.14857i | −0.292992 | − | 0.0785070i | ||||
\(750\) | −21.9816 | + | 40.1219i | −0.802655 | + | 1.46504i | ||||
\(751\) | −30.5334 | − | 17.6285i | −1.11418 | − | 0.643273i | −0.174272 | − | 0.984698i | \(-0.555757\pi\) |
−0.939909 | + | 0.341425i | \(0.889091\pi\) | |||||||
\(752\) | 6.97071 | − | 22.0417i | 0.254195 | − | 0.803777i | ||||
\(753\) | −0.808626 | − | 1.50996i | −0.0294680 | − | 0.0550259i | ||||
\(754\) | −7.66415 | − | 11.7511i | −0.279112 | − | 0.427951i | ||||
\(755\) | 52.3292 | + | 52.3292i | 1.90446 | + | 1.90446i | ||||
\(756\) | 6.98342 | − | 7.16525i | 0.253985 | − | 0.260597i | ||||
\(757\) | 24.8190 | − | 24.8190i | 0.902061 | − | 0.902061i | −0.0935534 | − | 0.995614i | \(-0.529823\pi\) |
0.995614 | + | 0.0935534i | \(0.0298226\pi\) | |||||||
\(758\) | −10.8965 | + | 51.7641i | −0.395779 | + | 1.88016i | ||||
\(759\) | 4.11872 | − | 2.20570i | 0.149500 | − | 0.0800618i | ||||
\(760\) | −21.8732 | + | 58.0013i | −0.793423 | + | 2.10393i | ||||
\(761\) | −2.73041 | + | 4.72921i | −0.0989774 | + | 0.171434i | −0.911262 | − | 0.411828i | \(-0.864890\pi\) |
0.812284 | + | 0.583262i | \(0.198224\pi\) | |||||||
\(762\) | 2.12028 | + | 7.25883i | 0.0768098 | + | 0.262959i | ||||
\(763\) | 1.39741 | − | 5.21521i | 0.0505897 | − | 0.188803i | ||||
\(764\) | −15.1199 | + | 1.64927i | −0.547017 | + | 0.0596684i | ||||
\(765\) | 9.54978 | − | 28.2798i | 0.345273 | − | 1.02246i | ||||
\(766\) | −40.2077 | + | 2.18644i | −1.45276 | + | 0.0789992i | ||||
\(767\) | −7.54091 | − | 13.0612i | −0.272286 | − | 0.471614i | ||||
\(768\) | −25.7077 | − | 10.3495i | −0.927648 | − | 0.373456i | ||||
\(769\) | 14.4745 | − | 25.0706i | 0.521964 | − | 0.904068i | −0.477710 | − | 0.878518i | \(-0.658533\pi\) |
0.999674 | − | 0.0255501i | \(-0.00813372\pi\) | |||||||
\(770\) | −9.22981 | + | 18.2029i | −0.332619 | + | 0.655986i | ||||
\(771\) | −8.45983 | + | 7.93608i | −0.304673 | + | 0.285811i | ||||
\(772\) | 2.27891 | + | 3.11087i | 0.0820198 | + | 0.111963i | ||||
\(773\) | −11.3458 | − | 11.3458i | −0.408079 | − | 0.408079i | 0.472989 | − | 0.881068i | \(-0.343175\pi\) |
−0.881068 | + | 0.472989i | \(0.843175\pi\) | |||||||
\(774\) | 28.1511 | + | 7.83170i | 1.01187 | + | 0.281505i | ||||
\(775\) | 35.0027 | 1.25733 | ||||||||
\(776\) | −6.33110 | − | 7.72469i | −0.227273 | − | 0.277300i | ||||
\(777\) | −2.63396 | + | 4.24324i | −0.0944928 | + | 0.152225i | ||||
\(778\) | 27.0164 | − | 8.83688i | 0.968583 | − | 0.316817i | ||||
\(779\) | 14.6546 | + | 54.6916i | 0.525054 | + | 1.95953i | ||||
\(780\) | −21.8413 | − | 4.08925i | −0.782044 | − | 0.146418i | ||||
\(781\) | 9.46454 | − | 35.3221i | 0.338668 | − | 1.26393i | ||||
\(782\) | −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 | ||||
\(786\) | 11.0014 | − | 6.68445i | 0.392406 | − | 0.238427i | ||||
\(787\) | −6.87546 | − | 25.6596i | −0.245084 | − | 0.914665i | −0.973341 | − | 0.229362i | \(-0.926336\pi\) |
0.728257 | − | 0.685304i | \(-0.240331\pi\) | |||||||
\(788\) | −42.7354 | + | 16.5976i | −1.52238 | + | 0.591264i | ||||
\(789\) | 5.56464 | + | 23.7803i | 0.198106 | + | 0.846601i | ||||
\(790\) | −58.6440 | − | 12.3448i | −2.08646 | − | 0.439207i | ||||
\(791\) | − | 6.15400i | − | 0.218811i | ||||||
\(792\) | −25.5357 | − | 20.9168i | −0.907373 | − | 0.743245i | ||||
\(793\) | − | 3.66851i | − | 0.130272i | ||||||
\(794\) | −2.45166 | + | 11.6466i | −0.0870060 | + | 0.413323i | ||||
\(795\) | 45.9887 | − | 43.1415i | 1.63105 | − | 1.53007i | ||||
\(796\) | 5.28630 | − | 11.9999i | 0.187368 | − | 0.425326i | ||||
\(797\) | 5.58542 | + | 20.8451i | 0.197846 | + | 0.738371i | 0.991512 | + | 0.130017i | \(0.0415032\pi\) |
−0.793666 | + | 0.608354i | \(0.791830\pi\) | |||||||
\(798\) | 13.4103 | − | 0.300329i | 0.474718 | − | 0.0106315i | ||||
\(799\) | −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 | ||||
\(803\) | −3.80424 | + | 14.1976i | −0.134249 | + | 0.501024i | ||||
\(804\) | −6.51783 | + | 13.6011i | −0.229866 | + | 0.479672i | ||||
\(805\) | −0.665784 | − | 2.48474i | −0.0234658 | − | 0.0875756i | ||||
\(806\) | 2.60169 | + | 7.95397i | 0.0916407 | + | 0.280166i | ||||
\(807\) | 15.3298 | + | 28.6254i | 0.539633 | + | 1.00766i | ||||
\(808\) | 5.29863 | − | 53.4420i | 0.186405 | − | 1.88008i | ||||
\(809\) | 36.1898 | 1.27236 | 0.636182 | − | 0.771539i | \(-0.280513\pi\) | ||||
0.636182 | + | 0.771539i | \(0.280513\pi\) | |||||||
\(810\) | −16.1335 | + | 46.3135i | −0.566873 | + | 1.62729i | ||||
\(811\) | 17.4150 | + | 17.4150i | 0.611523 | + | 0.611523i | 0.943343 | − | 0.331820i | \(-0.107663\pi\) |
−0.331820 | + | 0.943343i | \(0.607663\pi\) | |||||||
\(812\) | −11.3402 | − | 1.75046i | −0.397964 | − | 0.0614290i | ||||
\(813\) | −17.3237 | − | 5.24011i | −0.607568 | − | 0.183779i | ||||
\(814\) | 14.6954 | + | 7.45135i | 0.515074 | + | 0.261170i | ||||
\(815\) | 27.9694 | − | 48.4445i | 0.979727 | − | 1.69694i | ||||
\(816\) | 7.73573 | + | 16.1307i | 0.270805 | + | 0.564688i | ||||
\(817\) | 19.5868 | + | 33.9253i | 0.685254 | + | 1.18689i | ||||
\(818\) | −0.642742 | − | 11.8198i | −0.0224730 | − | 0.413269i | ||||
\(819\) | 0.945524 | + | 4.71445i | 0.0330393 | + | 0.164736i | ||||
\(820\) | −59.8083 | − | 48.0438i | −2.08860 | − | 1.67776i | ||||
\(821\) | 9.08280 | − | 33.8975i | 0.316992 | − | 1.18303i | −0.605129 | − | 0.796127i | \(-0.706878\pi\) |
0.922121 | − | 0.386902i | \(-0.126455\pi\) | |||||||
\(822\) | 2.85921 | + | 2.73395i | 0.0997266 | + | 0.0953576i | ||||
\(823\) | −19.3027 | + | 33.4332i | −0.672849 | + | 1.16541i | 0.304244 | + | 0.952594i | \(0.401596\pi\) |
−0.977093 | + | 0.212815i | \(0.931737\pi\) | |||||||
\(824\) | −3.44105 | + | 9.12466i | −0.119875 | + | 0.317872i | ||||
\(825\) | 2.11838 | − | 66.3152i | 0.0737525 | − | 2.30880i | ||||
\(826\) | −12.0706 | − | 2.54091i | −0.419991 | − | 0.0884096i | ||||
\(827\) | 39.6335 | − | 39.6335i | 1.37819 | − | 1.37819i | 0.530517 | − | 0.847674i | \(-0.321998\pi\) |
0.847674 | − | 0.530517i | \(-0.178002\pi\) | |||||||
\(828\) | 4.15630 | − | 0.186258i | 0.144442 | − | 0.00647292i | ||||
\(829\) | −20.5229 | − | 20.5229i | −0.712789 | − | 0.712789i | 0.254329 | − | 0.967118i | \(-0.418145\pi\) |
−0.967118 | + | 0.254329i | \(0.918145\pi\) | |||||||
\(830\) | 41.5392 | − | 27.0921i | 1.44185 | − | 0.940380i | ||||
\(831\) | 14.7906 | − | 23.8273i | 0.513080 | − | 0.826558i | ||||
\(832\) | 11.0831 | − | 7.38468i | 0.384237 | − | 0.256018i | ||||
\(833\) | 13.5807 | + | 7.84080i | 0.470542 | + | 0.271668i | ||||
\(834\) | 8.25218 | − | 5.01404i | 0.285749 | − | 0.173622i | ||||
\(835\) | −21.4647 | − | 5.75145i | −0.742817 | − | 0.199037i | ||||
\(836\) | −4.79861 | − | 43.9918i | −0.165963 | − | 1.52149i | ||||
\(837\) | 18.2164 | − | 3.05200i | 0.629651 | − | 0.105493i | ||||
\(838\) | 33.7264 | + | 30.2476i | 1.16506 | + | 1.04489i | ||||
\(839\) | −4.64087 | + | 2.67941i | −0.160221 | + | 0.0925035i | −0.577967 | − | 0.816060i | \(-0.696154\pi\) |
0.417746 | + | 0.908564i | \(0.362820\pi\) | |||||||
\(840\) | −14.4169 | + | 11.0657i | −0.497429 | + | 0.381803i | ||||
\(841\) | 5.63857 | + | 3.25543i | 0.194433 | + | 0.112256i | ||||
\(842\) | −13.1566 | − | 40.2226i | −0.453405 | − | 1.38616i | ||||
\(843\) | 41.0664 | − | 9.60963i | 1.41440 | − | 0.330973i | ||||
\(844\) | 11.9433 | + | 1.84355i | 0.411106 | + | 0.0634575i | ||||
\(845\) | −27.8691 | + | 27.8691i | −0.958726 | + | 0.958726i | ||||
\(846\) | 21.3509 | − | 12.0568i | 0.734060 | − | 0.414522i | ||||
\(847\) | − | 3.97928i | − | 0.136730i | ||||||
\(848\) | −1.68120 | + | 37.7554i | −0.0577327 | + | 1.29653i | ||||
\(849\) | 0.486654 | − | 15.2345i | 0.0167019 | − | 0.522848i | ||||
\(850\) | −16.2620 | + | 32.0717i | −0.557783 | + | 1.10005i | ||||
\(851\) | −2.00596 | + | 0.537496i | −0.0687636 | + | 0.0184251i | ||||
\(852\) | 21.1933 | − | 24.7228i | 0.726071 | − | 0.846989i | ||||
\(853\) | −53.2899 | − | 14.2790i | −1.82461 | − | 0.488903i | −0.827271 | − | 0.561803i | \(-0.810108\pi\) |
−0.997339 | + | 0.0729001i | \(0.976775\pi\) | |||||||
\(854\) | −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 | 0.995961 | + | 0.0897851i | \(0.0286180\pi\) |
−0.420224 | + | 0.907420i | \(0.638049\pi\) | |||||||
\(858\) | 15.2268 | − | 4.44772i | 0.519835 | − | 0.151843i | ||||
\(859\) | −52.8271 | + | 14.1550i | −1.80244 | + | 0.482962i | −0.994355 | − | 0.106107i | \(-0.966161\pi\) |
−0.808083 | + | 0.589069i | \(0.799495\pi\) | |||||||
\(860\) | −48.5718 | − | 21.3972i | −1.65628 | − | 0.729639i | ||||
\(861\) | −4.80624 | + | 15.8893i | −0.163796 | + | 0.541507i | ||||
\(862\) | −8.02568 | − | 12.3055i | −0.273356 | − | 0.419126i | ||||
\(863\) | 28.6860 | 0.976481 | 0.488241 | − | 0.872709i | \(-0.337639\pi\) | ||||
0.488241 | + | 0.872709i | \(0.337639\pi\) | |||||||
\(864\) | −12.4568 | − | 26.6238i | −0.423789 | − | 0.905761i | ||||
\(865\) | 30.7327 | 1.04494 | ||||||||
\(866\) | −2.56390 | − | 3.93113i | −0.0871249 | − | 0.133585i | ||||
\(867\) | −5.18148 | + | 17.1298i | −0.175972 | + | 0.581760i | ||||
\(868\) | 6.26373 | + | 2.75935i | 0.212605 | + | 0.0936583i | ||||
\(869\) | 41.3248 | − | 11.0729i | 1.40185 | − | 0.375624i | ||||
\(870\) | 53.9881 | − | 15.7698i | 1.83037 | − | 0.534646i | ||||
\(871\) | −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 | ||||
\(875\) | −17.3689 | − | 4.65399i | −0.587177 | − | 0.157334i | ||||
\(876\) | −8.51860 | + | 9.93725i | −0.287817 | + | 0.335749i | ||||
\(877\) | 5.11731 | − | 1.37118i | 0.172799 | − | 0.0463014i | −0.171382 | − | 0.985205i | \(-0.554823\pi\) |
0.344181 | + | 0.938903i | \(0.388157\pi\) | |||||||
\(878\) | −20.2890 | + | 40.0136i | −0.684721 | + | 1.35039i | ||||
\(879\) | 0.0462987 | − | 1.44936i | 0.00156162 | − | 0.0488858i | ||||
\(880\) | 40.4686 | + | 44.2406i | 1.36420 | + | 1.49135i | ||||
\(881\) | − | 33.4396i | − | 1.12661i | −0.826249 | − | 0.563305i | \(-0.809530\pi\) | ||
0.826249 | − | 0.563305i | \(-0.190470\pi\) | |||||||
\(882\) | −22.1899 | − | 13.0952i | −0.747174 | − | 0.440940i | ||||
\(883\) | −26.9753 | + | 26.9753i | −0.907790 | + | 0.907790i | −0.996094 | − | 0.0883036i | \(-0.971855\pi\) |
0.0883036 | + | 0.996094i | \(0.471855\pi\) | |||||||
\(884\) | −8.49665 | − | 1.31153i | −0.285773 | − | 0.0441114i | ||||
\(885\) | 58.8723 | − | 13.7762i | 1.97897 | − | 0.463083i | ||||
\(886\) | 5.85521 | + | 17.9007i | 0.196710 | + | 0.601386i | ||||
\(887\) | −49.0505 | − | 28.3193i | −1.64695 | − | 0.950869i | −0.978274 | − | 0.207318i | \(-0.933526\pi\) |
−0.668680 | − | 0.743550i | \(-0.733140\pi\) | |||||||
\(888\) | 8.93348 | + | 11.6389i | 0.299788 | + | 0.390576i | ||||
\(889\) | −2.57410 | + | 1.48616i | −0.0863325 | + | 0.0498441i | ||||
\(890\) | −52.9587 | − | 47.4962i | −1.77518 | − | 1.59207i | ||||
\(891\) | −4.67977 | − | 34.6970i | −0.156778 | − | 1.16239i | ||||
\(892\) | −1.12948 | − | 10.3546i | −0.0378177 | − | 0.346698i | ||||
\(893\) | 31.7522 | + | 8.50797i | 1.06255 | + | 0.284708i | ||||
\(894\) | −9.35079 | + | 5.68156i | −0.312737 | + | 0.190020i | ||||
\(895\) | −7.00364 | − | 4.04356i | −0.234106 | − | 0.135161i | ||||
\(896\) | 1.55582 | − | 10.7809i | 0.0519763 | − | 0.360163i | ||||
\(897\) | −1.05448 | + | 1.69873i | −0.0352079 | + | 0.0567191i | ||||
\(898\) | 15.4677 | − | 10.0881i | 0.516164 | − | 0.336645i | ||||
\(899\) | −14.9781 | − | 14.9781i | −0.499549 | − | 0.499549i | ||||
\(900\) | 27.2211 | − | 52.4384i | 0.907369 | − | 1.74795i | ||||
\(901\) | 17.2511 | − | 17.2511i | 0.574718 | − | 0.574718i | ||||
\(902\) | 53.5914 | + | 11.2812i | 1.78440 | + | 0.375622i | ||||
\(903\) | −0.366692 | + | 11.4792i | −0.0122028 | + | 0.382003i | ||||
\(904\) | −16.9162 | − | 6.37937i | −0.562626 | − | 0.212175i | ||||
\(905\) | 13.4565 | − | 23.3073i | 0.447308 | − | 0.774760i | ||||
\(906\) | −34.0023 | − | 32.5127i | −1.12965 | − | 1.08016i | ||||
\(907\) | −2.60194 | + | 9.71055i | −0.0863958 | + | 0.322434i | −0.995575 | − | 0.0939718i | \(-0.970044\pi\) |
0.909179 | + | 0.416405i | \(0.136710\pi\) | |||||||
\(908\) | −10.1469 | − | 8.15095i | −0.336736 | − | 0.270499i | ||||
\(909\) | 42.7666 | − | 37.6252i | 1.41848 | − | 1.24795i | ||||
\(910\) | −0.474237 | − | 8.72103i | −0.0157208 | − | 0.289099i | ||||
\(911\) | 23.4920 | + | 40.6893i | 0.778325 | + | 1.34810i | 0.932907 | + | 0.360118i | \(0.117263\pi\) |
−0.154582 | + | 0.987980i | \(0.549403\pi\) | |||||||
\(912\) | 13.0758 | − | 37.1737i | 0.432983 | − | 1.23094i | ||||
\(913\) | −17.7019 | + | 30.6607i | −0.585849 | + | 1.01472i | ||||
\(914\) | 14.6303 | + | 7.41834i | 0.483928 | + | 0.245377i | ||||
\(915\) | 14.0771 | + | 4.25806i | 0.465373 | + | 0.140767i | ||||
\(916\) | 8.17550 | + | 1.26195i | 0.270126 | + | 0.0416961i | ||||
\(917\) | 3.57776 | + | 3.57776i | 0.118148 | + | 0.118148i | ||||
\(918\) | −5.66679 | + | 18.1090i | −0.187032 | + | 0.597685i | ||||
\(919\) | −49.8848 | −1.64555 | −0.822774 | − | 0.568369i | \(-0.807575\pi\) | ||||
−0.822774 | + | 0.568369i | \(0.807575\pi\) | |||||||
\(920\) | −7.52027 | − | 0.745615i | −0.247936 | − | 0.0245822i | ||||
\(921\) | −24.4684 | − | 45.6902i | −0.806262 | − | 1.50554i | ||||
\(922\) | −6.05818 | − | 18.5212i | −0.199515 | − | 0.609964i | ||||
\(923\) | 4.05026 | + | 15.1158i | 0.133316 | + | 0.497542i | ||||
\(924\) | 5.60686 | − | 11.7001i | 0.184452 | − | 0.384905i | ||||
\(925\) | −7.63296 | + | 28.4866i | −0.250970 | + | 0.936634i | ||||
\(926\) | 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 | −0.895775 | − | 0.444508i | \(-0.853379\pi\) |
−0.0629322 | + | 0.998018i | \(0.520045\pi\) | |||||||
\(930\) | −33.5413 | + | 0.751174i | −1.09986 | + | 0.0246320i | ||||
\(931\) | −8.94026 | − | 33.3655i | −0.293005 | − | 1.09351i | ||||
\(932\) | −13.8825 | + | 31.5133i | −0.454735 | + | 1.03225i | ||||
\(933\) | −15.8195 | + | 14.8401i | −0.517909 | + | 0.485845i | ||||
\(934\) | 11.6005 | − | 55.1086i | 0.379581 | − | 1.80321i | ||||
\(935\) | − | 38.7051i | − | 1.26579i | ||||||
\(936\) | 13.9393 | + | 2.28802i | 0.455621 | + | 0.0747863i | ||||
\(937\) | − | 16.7455i | − | 0.547052i | −0.961865 | − | 0.273526i | \(-0.911810\pi\) | ||
0.961865 | − | 0.273526i | \(-0.0881899\pi\) | |||||||
\(938\) | −5.80092 | − | 1.22111i | −0.189407 | − | 0.0398708i | ||||
\(939\) | 12.8393 | + | 54.8682i | 0.418994 | + | 1.79056i | ||||
\(940\) | −41.5172 | + | 16.1244i | −1.35414 | + | 0.525921i | ||||
\(941\) | −1.50628 | − | 5.62151i | −0.0491033 | − | 0.183256i | 0.937018 | − | 0.349280i | \(-0.113574\pi\) |
−0.986122 | + | 0.166024i | \(0.946907\pi\) | |||||||
\(942\) | −39.4843 | + | 23.9908i | −1.28647 | + | 0.781661i | ||||
\(943\) | −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 | ||||
\(947\) | 1.73267 | − | 6.46641i | 0.0563042 | − | 0.210130i | −0.932043 | − | 0.362348i | \(-0.881975\pi\) |
0.988347 | + | 0.152218i | \(0.0486417\pi\) | |||||||
\(948\) | 37.4465 | + | 7.01094i | 1.21621 | + | 0.227705i | ||||
\(949\) | −1.62799 | − | 6.07575i | −0.0528468 | − | 0.197227i | ||||
\(950\) | 75.2832 | − | 24.6247i | 2.44251 | − | 0.798929i | ||||
\(951\) | 12.7086 | − | 20.4732i | 0.412104 | − | 0.663889i | ||||
\(952\) | −5.43837 | + | 4.45725i | −0.176259 | + | 0.144460i | ||||
\(953\) | 0.390160 | 0.0126385 | 0.00631925 | − | 0.999980i | \(-0.497989\pi\) | ||||
0.00631925 | + | 0.999980i | \(0.497989\pi\) | |||||||
\(954\) | −28.6138 | + | 28.0729i | −0.926406 | + | 0.908894i | ||||
\(955\) | 20.7201 | + | 20.7201i | 0.670487 | + | 0.670487i | ||||
\(956\) | −10.6200 | − | 14.4971i | −0.343476 | − | 0.468868i | ||||
\(957\) | −29.2837 | + | 27.4707i | −0.946606 | + | 0.888001i | ||||
\(958\) | 4.35079 | − | 8.58055i | 0.140568 | − | 0.277225i | ||||
\(959\) | −0.777447 | + | 1.34658i | −0.0251051 | + | 0.0434832i | ||||
\(960\) | 15.4728 | + | 51.1003i | 0.499382 | + | 1.64925i | ||||
\(961\) | −9.18236 | − | 15.9043i | −0.296205 | − | 0.513042i | ||||
\(962\) | −7.04060 | + | 0.382857i | −0.226998 | + | 0.0123438i | ||||
\(963\) | −25.3622 | + | 5.08661i | −0.817284 | + | 0.163914i | ||||
\(964\) | −2.23002 | + | 0.243250i | −0.0718242 | + | 0.00783455i | ||||
\(965\) | 1.92290 | − | 7.17636i | 0.0619003 | − | 0.231015i | ||||
\(966\) | 0.458501 | + | 1.56969i | 0.0147520 | + | 0.0505038i | ||||
\(967\) | −0.0976589 | + | 0.169150i | −0.00314050 | + | 0.00543950i | −0.867591 | − | 0.497278i | \(-0.834333\pi\) |
0.864451 | + | 0.502717i | \(0.167666\pi\) | |||||||
\(968\) | −10.9383 | − | 4.12501i | −0.351571 | − | 0.132583i | ||||
\(969\) | −22.4251 | + | 12.0093i | −0.720399 | + | 0.385795i | ||||
\(970\) | −3.96369 | + | 18.8296i | −0.127266 | + | 0.604581i | ||||
\(971\) | 17.8241 | − | 17.8241i | 0.572003 | − | 0.572003i | −0.360685 | − | 0.932688i | \(-0.617457\pi\) |
0.932688 | + | 0.360685i | \(0.117457\pi\) | |||||||
\(972\) | 9.59435 | − | 29.6639i | 0.307739 | − | 0.951471i | ||||
\(973\) | 2.68369 | + | 2.68369i | 0.0860352 | + | 0.0860352i | ||||
\(974\) | −8.47609 | − | 12.9961i | −0.271591 | − | 0.416420i | ||||
\(975\) | 13.4044 | + | 25.0302i | 0.429284 | + | 0.801607i | ||||
\(976\) | −7.82214 | + | 4.06334i | −0.250381 | + | 0.130064i | ||||
\(977\) | −44.7934 | − | 25.8615i | −1.43307 | − | 0.827382i | −0.435713 | − | 0.900085i | \(-0.643504\pi\) |
−0.997354 | + | 0.0727039i | \(0.976837\pi\) | |||||||
\(978\) | −17.0863 | + | 31.1867i | −0.546359 | + | 0.997241i | ||||
\(979\) | 49.0534 | + | 13.1438i | 1.56775 | + | 0.420079i | ||||
\(980\) | 36.4870 | + | 29.3099i | 1.16553 | + | 0.936271i | ||||
\(981\) | −3.30828 | − | 16.4953i | −0.105625 | − | 0.526655i | ||||
\(982\) | 6.82451 | − | 7.60941i | 0.217779 | − | 0.242826i | ||||
\(983\) | 48.7340 | − | 28.1366i | 1.55437 | − | 0.897419i | 0.556597 | − | 0.830782i | \(-0.312107\pi\) |
0.997777 | − | 0.0666364i | \(-0.0212267\pi\) | |||||||
\(984\) | 38.6946 | + | 29.6827i | 1.23354 | + | 0.946250i | ||||
\(985\) | 76.4921 | + | 44.1627i | 2.43724 | + | 1.40714i | ||||
\(986\) | 20.6827 | − | 6.76517i | 0.658670 | − | 0.215447i | ||||
\(987\) | 6.59376 | + | 7.02892i | 0.209882 | + | 0.223733i | ||||
\(988\) | 11.1913 | + | 15.2769i | 0.356044 | + | 0.486024i | ||||
\(989\) | −3.37694 | + | 3.37694i | −0.107381 | + | 0.107381i | ||||
\(990\) | −0.606783 | + | 63.5919i | −0.0192848 | + | 2.02108i | ||||
\(991\) | − | 45.9493i | − | 1.45963i | −0.683646 | − | 0.729814i | \(-0.739607\pi\) | ||
0.683646 | − | 0.729814i | \(-0.260393\pi\) | |||||||
\(992\) | 14.0781 | − | 14.3575i | 0.446979 | − | 0.455850i | ||||
\(993\) | 8.06581 | + | 5.00679i | 0.255961 | + | 0.158886i | ||||
\(994\) | 11.4154 | + | 5.78823i | 0.362076 | + | 0.183592i | ||||
\(995\) | −24.4021 | + | 6.53852i | −0.773599 | + | 0.207285i | ||||
\(996\) | −26.0144 | + | 17.8095i | −0.824298 | + | 0.564314i | ||||
\(997\) | 11.9748 | + | 3.20864i | 0.379246 | + | 0.101619i | 0.443406 | − | 0.896321i | \(-0.353770\pi\) |
−0.0641600 | + | 0.997940i | \(0.520437\pi\) | |||||||
\(998\) | 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.131.17 | yes | 88 | |
3.2 | odd | 2 | 432.2.v.a.179.6 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.239.13 | 88 | |||
9.2 | odd | 6 | inner | 144.2.u.a.83.9 | yes | 88 | |
9.7 | even | 3 | 432.2.v.a.35.14 | 88 | |||
12.11 | even | 2 | 1728.2.z.a.1583.2 | 88 | |||
16.5 | even | 4 | 576.2.y.a.527.20 | 88 | |||
16.11 | odd | 4 | inner | 144.2.u.a.59.9 | yes | 88 | |
36.7 | odd | 6 | 1728.2.z.a.1007.2 | 88 | |||
36.11 | even | 6 | 576.2.y.a.47.20 | 88 | |||
48.5 | odd | 4 | 1728.2.z.a.719.2 | 88 | |||
48.11 | even | 4 | 432.2.v.a.395.14 | 88 | |||
144.11 | even | 12 | inner | 144.2.u.a.11.17 | ✓ | 88 | |
144.43 | odd | 12 | 432.2.v.a.251.6 | 88 | |||
144.101 | odd | 12 | 576.2.y.a.335.13 | 88 | |||
144.133 | even | 12 | 1728.2.z.a.143.2 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.17 | ✓ | 88 | 144.11 | even | 12 | inner | |
144.2.u.a.59.9 | yes | 88 | 16.11 | odd | 4 | inner | |
144.2.u.a.83.9 | yes | 88 | 9.2 | odd | 6 | inner | |
144.2.u.a.131.17 | yes | 88 | 1.1 | even | 1 | trivial | |
432.2.v.a.35.14 | 88 | 9.7 | even | 3 | |||
432.2.v.a.179.6 | 88 | 3.2 | odd | 2 | |||
432.2.v.a.251.6 | 88 | 144.43 | odd | 12 | |||
432.2.v.a.395.14 | 88 | 48.11 | even | 4 | |||
576.2.y.a.47.20 | 88 | 36.11 | even | 6 | |||
576.2.y.a.239.13 | 88 | 4.3 | odd | 2 | |||
576.2.y.a.335.13 | 88 | 144.101 | odd | 12 | |||
576.2.y.a.527.20 | 88 | 16.5 | even | 4 | |||
1728.2.z.a.143.2 | 88 | 144.133 | even | 12 | |||
1728.2.z.a.719.2 | 88 | 48.5 | odd | 4 | |||
1728.2.z.a.1007.2 | 88 | 36.7 | odd | 6 | |||
1728.2.z.a.1583.2 | 88 | 12.11 | even | 2 |