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 | 59.10 | ||
Character | \(\chi\) | \(=\) | 144.59 |
Dual form | 144.2.u.a.83.10 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.503111 | + | 1.32170i | −0.355753 | + | 0.934580i | ||||
\(3\) | 1.05993 | − | 1.36987i | 0.611952 | − | 0.790895i | ||||
\(4\) | −1.49376 | − | 1.32992i | −0.746879 | − | 0.664960i | ||||
\(5\) | −0.746784 | − | 2.78704i | −0.333972 | − | 1.24640i | −0.904979 | − | 0.425456i | \(-0.860114\pi\) |
0.571007 | − | 0.820945i | \(-0.306553\pi\) | |||||||
\(6\) | 1.27729 | + | 2.09010i | 0.521451 | + | 0.853282i | ||||
\(7\) | 1.16672 | + | 2.02082i | 0.440979 | + | 0.763799i | 0.997762 | − | 0.0668592i | \(-0.0212978\pi\) |
−0.556783 | + | 0.830658i | \(0.687964\pi\) | |||||||
\(8\) | 2.50928 | − | 1.30520i | 0.887163 | − | 0.461456i | ||||
\(9\) | −0.753089 | − | 2.90394i | −0.251030 | − | 0.967979i | ||||
\(10\) | 4.05933 | + | 0.415168i | 1.28367 | + | 0.131288i | ||||
\(11\) | 1.48439 | − | 5.53982i | 0.447560 | − | 1.67032i | −0.261527 | − | 0.965196i | \(-0.584226\pi\) |
0.709087 | − | 0.705121i | \(-0.249107\pi\) | |||||||
\(12\) | −3.40510 | + | 0.636631i | −0.982968 | + | 0.183779i | ||||
\(13\) | 1.04654 | + | 3.90572i | 0.290257 | + | 1.08325i | 0.944912 | + | 0.327325i | \(0.106147\pi\) |
−0.654655 | + | 0.755928i | \(0.727186\pi\) | |||||||
\(14\) | −3.25790 | + | 0.525353i | −0.870711 | + | 0.140407i | ||||
\(15\) | −4.60942 | − | 1.93107i | −1.19015 | − | 0.498601i | ||||
\(16\) | 0.462627 | + | 3.97316i | 0.115657 | + | 0.993289i | ||||
\(17\) | 6.45489i | 1.56554i | 0.622310 | + | 0.782771i | \(0.286194\pi\) | ||||
−0.622310 | + | 0.782771i | \(0.713806\pi\) | |||||||
\(18\) | 4.21701 | + | 0.465650i | 0.993959 | + | 0.109755i | ||||
\(19\) | −1.50499 | − | 1.50499i | −0.345267 | − | 0.345267i | 0.513076 | − | 0.858343i | \(-0.328506\pi\) |
−0.858343 | + | 0.513076i | \(0.828506\pi\) | |||||||
\(20\) | −2.59102 | + | 5.15632i | −0.579370 | + | 1.15299i | ||||
\(21\) | 4.00491 | + | 0.543676i | 0.873943 | + | 0.118640i | ||||
\(22\) | 6.57514 | + | 4.74905i | 1.40182 | + | 1.01250i | ||||
\(23\) | −0.0418190 | − | 0.0241442i | −0.00871987 | − | 0.00503442i | 0.495634 | − | 0.868532i | \(-0.334936\pi\) |
−0.504354 | + | 0.863497i | \(0.668269\pi\) | |||||||
\(24\) | 0.871712 | − | 4.82080i | 0.177937 | − | 0.984042i | ||||
\(25\) | −2.87976 | + | 1.66263i | −0.575952 | + | 0.332526i | ||||
\(26\) | −5.68870 | − | 0.581812i | −1.11565 | − | 0.114103i | ||||
\(27\) | −4.77624 | − | 2.04634i | −0.919188 | − | 0.393819i | ||||
\(28\) | 0.944730 | − | 4.57027i | 0.178537 | − | 0.863699i | ||||
\(29\) | −1.36254 | + | 5.08507i | −0.253018 | + | 0.944274i | 0.716165 | + | 0.697931i | \(0.245896\pi\) |
−0.969183 | + | 0.246343i | \(0.920771\pi\) | |||||||
\(30\) | 4.87134 | − | 5.12071i | 0.889381 | − | 0.934909i | ||||
\(31\) | 1.65029 | + | 0.952797i | 0.296401 | + | 0.171127i | 0.640825 | − | 0.767687i | \(-0.278592\pi\) |
−0.344424 | + | 0.938814i | \(0.611926\pi\) | |||||||
\(32\) | −5.48406 | − | 1.38749i | −0.969453 | − | 0.245276i | ||||
\(33\) | −6.01548 | − | 7.90525i | −1.04716 | − | 1.37613i | ||||
\(34\) | −8.53140 | − | 3.24753i | −1.46312 | − | 0.556947i | ||||
\(35\) | 4.76082 | − | 4.76082i | 0.804725 | − | 0.804725i | ||||
\(36\) | −2.73707 | + | 5.33933i | −0.456179 | + | 0.889888i | ||||
\(37\) | 0.489763 | + | 0.489763i | 0.0805165 | + | 0.0805165i | 0.746218 | − | 0.665702i | \(-0.231868\pi\) |
−0.665702 | + | 0.746218i | \(0.731868\pi\) | |||||||
\(38\) | 2.74631 | − | 1.23196i | 0.445510 | − | 0.199850i | ||||
\(39\) | 6.45959 | + | 2.70618i | 1.03436 | + | 0.433336i | ||||
\(40\) | −5.51152 | − | 6.01874i | −0.871447 | − | 0.951647i | ||||
\(41\) | −0.0155357 | + | 0.0269087i | −0.00242628 | + | 0.00420243i | −0.867236 | − | 0.497897i | \(-0.834106\pi\) |
0.864810 | + | 0.502100i | \(0.167439\pi\) | |||||||
\(42\) | −2.73349 | + | 5.01974i | −0.421786 | + | 0.774563i | ||||
\(43\) | 3.80267 | + | 1.01892i | 0.579901 | + | 0.155384i | 0.536834 | − | 0.843688i | \(-0.319620\pi\) |
0.0430675 | + | 0.999072i | \(0.486287\pi\) | |||||||
\(44\) | −9.58483 | + | 6.30103i | −1.44497 | + | 0.949916i | ||||
\(45\) | −7.53099 | + | 4.26750i | −1.12265 | + | 0.636162i | ||||
\(46\) | 0.0529509 | − | 0.0431248i | 0.00780719 | − | 0.00635840i | ||||
\(47\) | −0.0913288 | − | 0.158186i | −0.0133217 | − | 0.0230738i | 0.859288 | − | 0.511493i | \(-0.170907\pi\) |
−0.872609 | + | 0.488419i | \(0.837574\pi\) | |||||||
\(48\) | 5.93306 | + | 3.57754i | 0.856364 | + | 0.516373i | ||||
\(49\) | 0.777520 | − | 1.34670i | 0.111074 | − | 0.192386i | ||||
\(50\) | −0.748652 | − | 4.64266i | −0.105875 | − | 0.656571i | ||||
\(51\) | 8.84237 | + | 6.84175i | 1.23818 | + | 0.958036i | ||||
\(52\) | 3.63103 | − | 7.22601i | 0.503533 | − | 1.00207i | ||||
\(53\) | −6.62061 | + | 6.62061i | −0.909411 | + | 0.909411i | −0.996225 | − | 0.0868136i | \(-0.972332\pi\) |
0.0868136 | + | 0.996225i | \(0.472332\pi\) | |||||||
\(54\) | 5.10762 | − | 5.28320i | 0.695059 | − | 0.718952i | ||||
\(55\) | −16.5482 | −2.23136 | ||||||||
\(56\) | 5.56520 | + | 3.54800i | 0.743680 | + | 0.474121i | ||||
\(57\) | −3.65682 | + | 0.466453i | −0.484357 | + | 0.0617832i | ||||
\(58\) | −6.03541 | − | 4.35922i | −0.792488 | − | 0.572394i | ||||
\(59\) | 4.15614 | − | 1.11363i | 0.541083 | − | 0.144983i | 0.0220815 | − | 0.999756i | \(-0.492971\pi\) |
0.519001 | + | 0.854773i | \(0.326304\pi\) | |||||||
\(60\) | 4.31719 | + | 9.01471i | 0.557347 | + | 1.16379i | ||||
\(61\) | 6.39775 | + | 1.71427i | 0.819148 | + | 0.219490i | 0.643974 | − | 0.765047i | \(-0.277284\pi\) |
0.175174 | + | 0.984537i | \(0.443951\pi\) | |||||||
\(62\) | −2.08959 | + | 1.70182i | −0.265378 | + | 0.216132i | ||||
\(63\) | 4.98970 | − | 4.90995i | 0.628643 | − | 0.618595i | ||||
\(64\) | 4.59293 | − | 6.55019i | 0.574116 | − | 0.818774i | ||||
\(65\) | 10.1039 | − | 5.83347i | 1.25323 | − | 0.723552i | ||||
\(66\) | 13.4748 | − | 3.97341i | 1.65863 | − | 0.489093i | ||||
\(67\) | −0.808279 | + | 0.216578i | −0.0987470 | + | 0.0264592i | −0.307854 | − | 0.951434i | \(-0.599611\pi\) |
0.209107 | + | 0.977893i | \(0.432944\pi\) | |||||||
\(68\) | 8.58449 | − | 9.64205i | 1.04102 | − | 1.16927i | ||||
\(69\) | −0.0773998 | + | 0.0316954i | −0.00931784 | + | 0.00381568i | ||||
\(70\) | 3.89713 | + | 8.68757i | 0.465796 | + | 1.03836i | ||||
\(71\) | 1.04372i | 0.123867i | 0.998080 | + | 0.0619333i | \(0.0197266\pi\) | ||||
−0.998080 | + | 0.0619333i | \(0.980273\pi\) | |||||||
\(72\) | −5.67992 | − | 6.30385i | −0.669385 | − | 0.742916i | ||||
\(73\) | 4.74654i | 0.555540i | 0.960648 | + | 0.277770i | \(0.0895953\pi\) | ||||
−0.960648 | + | 0.277770i | \(0.910405\pi\) | |||||||
\(74\) | −0.893723 | + | 0.400912i | −0.103893 | + | 0.0466051i | ||||
\(75\) | −0.774762 | + | 5.70717i | −0.0894618 | + | 0.659008i | ||||
\(76\) | 0.246575 | + | 4.24960i | 0.0282840 | + | 0.487462i | ||||
\(77\) | 12.9269 | − | 3.46374i | 1.47315 | − | 0.394730i | ||||
\(78\) | −6.82664 | + | 7.17610i | −0.772965 | + | 0.812533i | ||||
\(79\) | −7.29908 | + | 4.21413i | −0.821211 | + | 0.474126i | −0.850834 | − | 0.525435i | \(-0.823903\pi\) |
0.0296228 | + | 0.999561i | \(0.490569\pi\) | |||||||
\(80\) | 10.7279 | − | 4.25645i | 1.19941 | − | 0.475886i | ||||
\(81\) | −7.86571 | + | 4.37385i | −0.873968 | + | 0.485983i | ||||
\(82\) | −0.0277489 | − | 0.0340716i | −0.00306435 | − | 0.00376258i | ||||
\(83\) | 11.9789 | + | 3.20973i | 1.31485 | + | 0.352313i | 0.847047 | − | 0.531519i | \(-0.178378\pi\) |
0.467805 | + | 0.883832i | \(0.345045\pi\) | |||||||
\(84\) | −5.25932 | − | 6.13833i | −0.573839 | − | 0.669746i | ||||
\(85\) | 17.9900 | − | 4.82041i | 1.95129 | − | 0.522847i | ||||
\(86\) | −3.25987 | + | 4.51334i | −0.351521 | + | 0.486685i | ||||
\(87\) | 5.52169 | + | 7.25633i | 0.591987 | + | 0.777961i | ||||
\(88\) | −3.50580 | − | 15.8383i | −0.373720 | − | 1.68837i | ||||
\(89\) | −2.85193 | −0.302304 | −0.151152 | − | 0.988511i | \(-0.548298\pi\) | ||||
−0.151152 | + | 0.988511i | \(0.548298\pi\) | |||||||
\(90\) | −1.85141 | − | 12.1007i | −0.195156 | − | 1.27553i | ||||
\(91\) | −6.67175 | + | 6.67175i | −0.699390 | + | 0.699390i | ||||
\(92\) | 0.0303576 | + | 0.0916816i | 0.00316500 | + | 0.00955846i | ||||
\(93\) | 3.05441 | − | 1.25079i | 0.316727 | − | 0.129701i | ||||
\(94\) | 0.255023 | − | 0.0411237i | 0.0263036 | − | 0.00424158i | ||||
\(95\) | −3.07055 | + | 5.31835i | −0.315032 | + | 0.545651i | ||||
\(96\) | −7.71340 | + | 6.04180i | −0.787246 | + | 0.616639i | ||||
\(97\) | 3.29818 | + | 5.71262i | 0.334880 | + | 0.580028i | 0.983462 | − | 0.181116i | \(-0.0579710\pi\) |
−0.648582 | + | 0.761145i | \(0.724638\pi\) | |||||||
\(98\) | 1.38875 | + | 1.70519i | 0.140285 | + | 0.172250i | ||||
\(99\) | −17.2052 | − | 0.138600i | −1.72918 | − | 0.0139299i | ||||
\(100\) | 6.51283 | + | 1.34628i | 0.651283 | + | 0.134628i | ||||
\(101\) | −8.02745 | − | 2.15095i | −0.798761 | − | 0.214027i | −0.163721 | − | 0.986507i | \(-0.552350\pi\) |
−0.635040 | + | 0.772479i | \(0.719016\pi\) | |||||||
\(102\) | −13.4914 | + | 8.24476i | −1.33585 | + | 0.816353i | ||||
\(103\) | 3.39607 | − | 5.88217i | 0.334625 | − | 0.579588i | −0.648788 | − | 0.760970i | \(-0.724724\pi\) |
0.983413 | + | 0.181382i | \(0.0580570\pi\) | |||||||
\(104\) | 7.72378 | + | 8.43460i | 0.757379 | + | 0.827081i | ||||
\(105\) | −1.47556 | − | 11.5678i | −0.144000 | − | 1.12891i | ||||
\(106\) | −5.41953 | − | 12.0813i | −0.526391 | − | 1.17344i | ||||
\(107\) | −11.9162 | − | 11.9162i | −1.15198 | − | 1.15198i | −0.986155 | − | 0.165828i | \(-0.946970\pi\) |
−0.165828 | − | 0.986155i | \(-0.553030\pi\) | |||||||
\(108\) | 4.41308 | + | 9.40876i | 0.424649 | + | 0.905358i | ||||
\(109\) | −0.518803 | + | 0.518803i | −0.0496923 | + | 0.0496923i | −0.731516 | − | 0.681824i | \(-0.761187\pi\) |
0.681824 | + | 0.731516i | \(0.261187\pi\) | |||||||
\(110\) | 8.32558 | − | 21.8717i | 0.793813 | − | 2.08538i | ||||
\(111\) | 1.19003 | − | 0.151796i | 0.112952 | − | 0.0144079i | ||||
\(112\) | −7.48928 | + | 5.57046i | −0.707671 | + | 0.526359i | ||||
\(113\) | −9.60012 | − | 5.54263i | −0.903103 | − | 0.521407i | −0.0248974 | − | 0.999690i | \(-0.507926\pi\) |
−0.878206 | + | 0.478283i | \(0.841259\pi\) | |||||||
\(114\) | 1.22328 | − | 5.06788i | 0.114570 | − | 0.474650i | ||||
\(115\) | −0.0360611 | + | 0.134582i | −0.00336271 | + | 0.0125498i | ||||
\(116\) | 8.79804 | − | 5.78380i | 0.816878 | − | 0.537012i | ||||
\(117\) | 10.5538 | − | 5.98043i | 0.975703 | − | 0.552891i | ||||
\(118\) | −0.619114 | + | 6.05343i | −0.0569941 | + | 0.557263i | ||||
\(119\) | −13.0442 | + | 7.53107i | −1.19576 | + | 0.690372i | ||||
\(120\) | −14.0867 | + | 1.17060i | −1.28594 | + | 0.106861i | ||||
\(121\) | −18.9599 | − | 10.9465i | −1.72362 | − | 0.995135i | ||||
\(122\) | −5.48453 | + | 7.59341i | −0.496546 | + | 0.687475i | ||||
\(123\) | 0.0203946 | + | 0.0498033i | 0.00183892 | + | 0.00449062i | ||||
\(124\) | −1.19800 | − | 3.61801i | −0.107583 | − | 0.324907i | ||||
\(125\) | −3.41689 | − | 3.41689i | −0.305616 | − | 0.305616i | ||||
\(126\) | 3.97908 | + | 9.06511i | 0.354485 | + | 0.807584i | ||||
\(127\) | − | 12.0823i | − | 1.07213i | −0.844176 | − | 0.536067i | \(-0.819910\pi\) | ||
0.844176 | − | 0.536067i | \(-0.180090\pi\) | |||||||
\(128\) | 6.34661 | + | 9.36593i | 0.560966 | + | 0.827839i | ||||
\(129\) | 5.42636 | − | 4.12917i | 0.477764 | − | 0.363553i | ||||
\(130\) | 2.62670 | + | 16.2891i | 0.230377 | + | 1.42865i | ||||
\(131\) | −0.702002 | − | 2.61991i | −0.0613342 | − | 0.228902i | 0.928454 | − | 0.371447i | \(-0.121138\pi\) |
−0.989788 | + | 0.142545i | \(0.954472\pi\) | |||||||
\(132\) | −1.52768 | + | 19.8086i | −0.132967 | + | 1.72412i | ||||
\(133\) | 1.28541 | − | 4.79721i | 0.111459 | − | 0.415971i | ||||
\(134\) | 0.120404 | − | 1.17726i | 0.0104014 | − | 0.101700i | ||||
\(135\) | −2.13641 | + | 14.8397i | −0.183873 | + | 1.27720i | ||||
\(136\) | 8.42490 | + | 16.1971i | 0.722429 | + | 1.38889i | ||||
\(137\) | 7.51859 | + | 13.0226i | 0.642356 | + | 1.11259i | 0.984905 | + | 0.173094i | \(0.0553765\pi\) |
−0.342549 | + | 0.939500i | \(0.611290\pi\) | |||||||
\(138\) | −0.00295098 | − | 0.118245i | −0.000251204 | − | 0.0100657i | ||||
\(139\) | 2.22117 | + | 8.28951i | 0.188397 | + | 0.703107i | 0.993878 | + | 0.110485i | \(0.0352405\pi\) |
−0.805481 | + | 0.592622i | \(0.798093\pi\) | |||||||
\(140\) | −13.4430 | + | 0.780005i | −1.13614 | + | 0.0659224i | ||||
\(141\) | −0.313497 | − | 0.0425579i | −0.0264012 | − | 0.00358402i | ||||
\(142\) | −1.37948 | − | 0.525106i | −0.115763 | − | 0.0440659i | ||||
\(143\) | 23.1905 | 1.93928 | ||||||||
\(144\) | 11.1894 | − | 4.33558i | 0.932450 | − | 0.361298i | ||||
\(145\) | 15.1898 | 1.26144 | ||||||||
\(146\) | −6.27347 | − | 2.38804i | −0.519196 | − | 0.197635i | ||||
\(147\) | −1.02069 | − | 2.49251i | −0.0841852 | − | 0.205579i | ||||
\(148\) | −0.0802420 | − | 1.38293i | −0.00659585 | − | 0.113676i | ||||
\(149\) | −0.261866 | − | 0.977298i | −0.0214529 | − | 0.0800634i | 0.954369 | − | 0.298628i | \(-0.0965291\pi\) |
−0.975822 | + | 0.218565i | \(0.929862\pi\) | |||||||
\(150\) | −7.15335 | − | 3.89534i | −0.584069 | − | 0.318053i | ||||
\(151\) | −8.29411 | − | 14.3658i | −0.674965 | − | 1.16907i | −0.976479 | − | 0.215612i | \(-0.930825\pi\) |
0.301514 | − | 0.953462i | \(-0.402508\pi\) | |||||||
\(152\) | −5.74073 | − | 1.81212i | −0.465634 | − | 0.146983i | ||||
\(153\) | 18.7446 | − | 4.86111i | 1.51541 | − | 0.392997i | ||||
\(154\) | −1.92564 | + | 18.8280i | −0.155172 | + | 1.51720i | ||||
\(155\) | 1.42307 | − | 5.31096i | 0.114304 | − | 0.426587i | ||||
\(156\) | −6.05006 | − | 12.6331i | −0.484392 | − | 1.01146i | ||||
\(157\) | −5.68871 | − | 21.2306i | −0.454009 | − | 1.69438i | −0.690986 | − | 0.722868i | \(-0.742823\pi\) |
0.236977 | − | 0.971515i | \(-0.423843\pi\) | |||||||
\(158\) | −1.89754 | − | 11.7673i | −0.150960 | − | 0.936160i | ||||
\(159\) | 2.05198 | + | 16.0868i | 0.162733 | + | 1.27576i | ||||
\(160\) | 0.228428 | + | 16.3204i | 0.0180588 | + | 1.29024i | ||||
\(161\) | − | 0.112678i | − | 0.00888030i | ||||||
\(162\) | −1.82357 | − | 12.5966i | −0.143273 | − | 0.989683i | ||||
\(163\) | 0.153221 | + | 0.153221i | 0.0120012 | + | 0.0120012i | 0.713082 | − | 0.701081i | \(-0.247299\pi\) |
−0.701081 | + | 0.713082i | \(0.747299\pi\) | |||||||
\(164\) | 0.0589931 | − | 0.0195338i | 0.00460658 | − | 0.00152533i | ||||
\(165\) | −17.5400 | + | 22.6689i | −1.36548 | + | 1.76477i | ||||
\(166\) | −10.2690 | + | 14.2176i | −0.797028 | + | 1.10350i | ||||
\(167\) | 1.83025 | + | 1.05669i | 0.141629 | + | 0.0817694i | 0.569140 | − | 0.822241i | \(-0.307276\pi\) |
−0.427511 | + | 0.904010i | \(0.640610\pi\) | |||||||
\(168\) | 10.7590 | − | 3.86296i | 0.830077 | − | 0.298034i | ||||
\(169\) | −2.90111 | + | 1.67495i | −0.223162 | + | 0.128843i | ||||
\(170\) | −2.67987 | + | 26.2025i | −0.205536 | + | 2.00964i | ||||
\(171\) | −3.23700 | + | 5.50377i | −0.247539 | + | 0.420884i | ||||
\(172\) | −4.32518 | − | 6.57926i | −0.329792 | − | 0.501664i | ||||
\(173\) | 0.582108 | − | 2.17246i | 0.0442568 | − | 0.165169i | −0.940261 | − | 0.340456i | \(-0.889419\pi\) |
0.984517 | + | 0.175287i | \(0.0560853\pi\) | |||||||
\(174\) | −12.3687 | + | 3.64725i | −0.937668 | + | 0.276497i | ||||
\(175\) | −6.71976 | − | 3.87966i | −0.507966 | − | 0.293274i | ||||
\(176\) | 22.6973 | + | 3.33484i | 1.71087 | + | 0.251373i | ||||
\(177\) | 2.87969 | − | 6.87374i | 0.216451 | − | 0.516662i | ||||
\(178\) | 1.43484 | − | 3.76938i | 0.107546 | − | 0.282527i | ||||
\(179\) | −4.33235 | + | 4.33235i | −0.323815 | + | 0.323815i | −0.850229 | − | 0.526413i | \(-0.823536\pi\) |
0.526413 | + | 0.850229i | \(0.323536\pi\) | |||||||
\(180\) | 16.9249 | + | 3.64099i | 1.26151 | + | 0.271384i | ||||
\(181\) | −13.9507 | − | 13.9507i | −1.03695 | − | 1.03695i | −0.999291 | − | 0.0376558i | \(-0.988011\pi\) |
−0.0376558 | − | 0.999291i | \(-0.511989\pi\) | |||||||
\(182\) | −5.46139 | − | 12.1747i | −0.404825 | − | 0.902446i | ||||
\(183\) | 9.12951 | − | 6.94708i | 0.674873 | − | 0.513543i | ||||
\(184\) | −0.136448 | − | 0.00600249i | −0.0100591 | − | 0.000442509i | ||||
\(185\) | 0.999240 | − | 1.73073i | 0.0734656 | − | 0.127246i | ||||
\(186\) | 0.116454 | + | 4.66628i | 0.00853880 | + | 0.342148i | ||||
\(187\) | 35.7589 | + | 9.58157i | 2.61495 | + | 0.700674i | ||||
\(188\) | −0.0739517 | + | 0.357752i | −0.00539348 | + | 0.0260917i | ||||
\(189\) | −1.43725 | − | 12.0394i | −0.104545 | − | 0.875741i | ||||
\(190\) | −5.48441 | − | 6.73406i | −0.397881 | − | 0.488540i | ||||
\(191\) | −3.83161 | − | 6.63654i | −0.277246 | − | 0.480203i | 0.693454 | − | 0.720501i | \(-0.256088\pi\) |
−0.970699 | + | 0.240298i | \(0.922755\pi\) | |||||||
\(192\) | −4.10472 | − | 13.2345i | −0.296233 | − | 0.955116i | ||||
\(193\) | −3.79037 | + | 6.56511i | −0.272836 | + | 0.472567i | −0.969587 | − | 0.244747i | \(-0.921295\pi\) |
0.696751 | + | 0.717314i | \(0.254628\pi\) | |||||||
\(194\) | −9.20969 | + | 1.48511i | −0.661217 | + | 0.106625i | ||||
\(195\) | 2.71831 | − | 20.0240i | 0.194662 | − | 1.43395i | ||||
\(196\) | −2.95243 | + | 0.977611i | −0.210888 | + | 0.0698293i | ||||
\(197\) | −12.6000 | + | 12.6000i | −0.897715 | + | 0.897715i | −0.995234 | − | 0.0975188i | \(-0.968909\pi\) |
0.0975188 | + | 0.995234i | \(0.468909\pi\) | |||||||
\(198\) | 8.83930 | − | 22.6703i | 0.628181 | − | 1.61110i | ||||
\(199\) | 23.1095 | 1.63819 | 0.819096 | − | 0.573656i | \(-0.194476\pi\) | ||||
0.819096 | + | 0.573656i | \(0.194476\pi\) | |||||||
\(200\) | −5.05605 | + | 7.93065i | −0.357517 | + | 0.560782i | ||||
\(201\) | −0.560037 | + | 1.33679i | −0.0395020 | + | 0.0942902i | ||||
\(202\) | 6.88160 | − | 9.52767i | 0.484187 | − | 0.670365i | ||||
\(203\) | −11.8657 | + | 3.17941i | −0.832811 | + | 0.223151i | ||||
\(204\) | −4.10938 | − | 21.9796i | −0.287714 | − | 1.53888i | ||||
\(205\) | 0.0865974 | + | 0.0232037i | 0.00604822 | + | 0.00162062i | ||||
\(206\) | 6.06584 | + | 7.44796i | 0.422627 | + | 0.518924i | ||||
\(207\) | −0.0386199 | + | 0.139623i | −0.00268427 | + | 0.00970444i | ||||
\(208\) | −15.0339 | + | 5.96494i | −1.04241 | + | 0.413594i | ||||
\(209\) | −10.5713 | + | 6.10336i | −0.731234 | + | 0.422178i | ||||
\(210\) | 16.0315 | + | 3.86967i | 1.10628 | + | 0.267033i | ||||
\(211\) | −12.7862 | + | 3.42605i | −0.880238 | + | 0.235859i | −0.670510 | − | 0.741901i | \(-0.733925\pi\) |
−0.209728 | + | 0.977760i | \(0.567258\pi\) | |||||||
\(212\) | 18.6945 | − | 1.08471i | 1.28394 | − | 0.0744982i | ||||
\(213\) | 1.42976 | + | 1.10627i | 0.0979654 | + | 0.0758004i | ||||
\(214\) | 21.7448 | − | 9.75441i | 1.48644 | − | 0.666798i | ||||
\(215\) | − | 11.3591i | − | 0.774683i | ||||||
\(216\) | −14.6558 | + | 1.09909i | −0.997200 | + | 0.0747839i | ||||
\(217\) | 4.44660i | 0.301855i | ||||||||
\(218\) | −0.424684 | − | 0.946716i | −0.0287632 | − | 0.0641197i | ||||
\(219\) | 6.50214 | + | 5.03100i | 0.439374 | + | 0.339964i | ||||
\(220\) | 24.7190 | + | 22.0078i | 1.66655 | + | 1.48376i | ||||
\(221\) | −25.2110 | + | 6.75527i | −1.69588 | + | 0.454409i | ||||
\(222\) | −0.398087 | + | 1.64922i | −0.0267179 | + | 0.110689i | ||||
\(223\) | −14.1219 | + | 8.15328i | −0.945672 | + | 0.545984i | −0.891734 | − | 0.452561i | \(-0.850511\pi\) |
−0.0539380 | + | 0.998544i | \(0.517177\pi\) | |||||||
\(224\) | −3.59450 | − | 12.7011i | −0.240168 | − | 0.848629i | ||||
\(225\) | 6.99689 | + | 7.11054i | 0.466460 | + | 0.474036i | ||||
\(226\) | 12.1556 | − | 9.89987i | 0.808578 | − | 0.658530i | ||||
\(227\) | −22.2456 | − | 5.96068i | −1.47649 | − | 0.395624i | −0.571339 | − | 0.820714i | \(-0.693576\pi\) |
−0.905151 | + | 0.425090i | \(0.860242\pi\) | |||||||
\(228\) | 6.08275 | + | 4.16651i | 0.402840 | + | 0.275934i | ||||
\(229\) | 18.8781 | − | 5.05838i | 1.24750 | − | 0.334267i | 0.426131 | − | 0.904661i | \(-0.359876\pi\) |
0.821371 | + | 0.570394i | \(0.193209\pi\) | |||||||
\(230\) | −0.159733 | − | 0.115371i | −0.0105325 | − | 0.00760736i | ||||
\(231\) | 8.95671 | − | 21.3794i | 0.589308 | − | 1.40666i | ||||
\(232\) | 3.21802 | + | 14.5382i | 0.211274 | + | 0.954482i | ||||
\(233\) | 18.4018 | 1.20554 | 0.602771 | − | 0.797914i | \(-0.294063\pi\) | ||||
0.602771 | + | 0.797914i | \(0.294063\pi\) | |||||||
\(234\) | 2.59455 | + | 16.9578i | 0.169611 | + | 1.10857i | ||||
\(235\) | −0.372668 | + | 0.372668i | −0.0243102 | + | 0.0243102i | ||||
\(236\) | −7.68930 | − | 3.86383i | −0.500531 | − | 0.251514i | ||||
\(237\) | −1.96372 | + | 14.4655i | −0.127558 | + | 0.939634i | ||||
\(238\) | −3.39110 | − | 21.0294i | −0.219812 | − | 1.36313i | ||||
\(239\) | −12.4328 | + | 21.5343i | −0.804212 | + | 1.39294i | 0.112609 | + | 0.993639i | \(0.464079\pi\) |
−0.916821 | + | 0.399298i | \(0.869254\pi\) | |||||||
\(240\) | 5.54001 | − | 19.2073i | 0.357606 | − | 1.23983i | ||||
\(241\) | 0.256221 | + | 0.443788i | 0.0165047 | + | 0.0285869i | 0.874160 | − | 0.485638i | \(-0.161413\pi\) |
−0.857655 | + | 0.514225i | \(0.828079\pi\) | |||||||
\(242\) | 24.0068 | − | 19.5519i | 1.54322 | − | 1.25684i | ||||
\(243\) | −2.34552 | + | 15.4110i | −0.150465 | + | 0.988615i | ||||
\(244\) | −7.27685 | − | 11.0692i | −0.465853 | − | 0.708633i | ||||
\(245\) | −4.33395 | − | 1.16128i | −0.276886 | − | 0.0741914i | ||||
\(246\) | −0.0760856 | + | 0.00189883i | −0.00485104 | + | 0.000121065i | ||||
\(247\) | 4.30304 | − | 7.45308i | 0.273796 | − | 0.474228i | ||||
\(248\) | 5.38463 | + | 0.236875i | 0.341924 | + | 0.0150416i | ||||
\(249\) | 17.0937 | − | 13.0074i | 1.08327 | − | 0.824310i | ||||
\(250\) | 6.23516 | − | 2.79701i | 0.394346 | − | 0.176899i | ||||
\(251\) | 7.88443 | + | 7.88443i | 0.497661 | + | 0.497661i | 0.910709 | − | 0.413048i | \(-0.135536\pi\) |
−0.413048 | + | 0.910709i | \(0.635536\pi\) | |||||||
\(252\) | −13.9832 | + | 0.698378i | −0.880861 | + | 0.0439937i | ||||
\(253\) | −0.195830 | + | 0.195830i | −0.0123117 | + | 0.0123117i | ||||
\(254\) | 15.9692 | + | 6.07875i | 1.00199 | + | 0.381415i | ||||
\(255\) | 12.4649 | − | 29.7533i | 0.780580 | − | 1.86322i | ||||
\(256\) | −15.5720 | + | 3.67618i | −0.973247 | + | 0.229761i | ||||
\(257\) | 10.6490 | + | 6.14820i | 0.664266 | + | 0.383514i | 0.793900 | − | 0.608048i | \(-0.208047\pi\) |
−0.129635 | + | 0.991562i | \(0.541380\pi\) | |||||||
\(258\) | 2.72745 | + | 9.24942i | 0.169803 | + | 0.575844i | ||||
\(259\) | −0.418306 | + | 1.56114i | −0.0259923 | + | 0.0970046i | ||||
\(260\) | −22.8508 | − | 4.72353i | −1.41714 | − | 0.292941i | ||||
\(261\) | 15.7928 | + | 0.127223i | 0.977553 | + | 0.00787492i | ||||
\(262\) | 3.81590 | + | 0.390272i | 0.235747 | + | 0.0241111i | ||||
\(263\) | −8.46535 | + | 4.88747i | −0.521996 | + | 0.301375i | −0.737751 | − | 0.675073i | \(-0.764112\pi\) |
0.215755 | + | 0.976448i | \(0.430779\pi\) | |||||||
\(264\) | −25.4124 | − | 11.9851i | −1.56402 | − | 0.737630i | ||||
\(265\) | 23.3961 | + | 13.5077i | 1.43721 | + | 0.829773i | ||||
\(266\) | 5.69375 | + | 4.11245i | 0.349106 | + | 0.252150i | ||||
\(267\) | −3.02285 | + | 3.90677i | −0.184995 | + | 0.239091i | ||||
\(268\) | 1.49540 | + | 0.751431i | 0.0913463 | + | 0.0459010i | ||||
\(269\) | −5.64229 | − | 5.64229i | −0.344016 | − | 0.344016i | 0.513859 | − | 0.857875i | \(-0.328216\pi\) |
−0.857875 | + | 0.513859i | \(0.828216\pi\) | |||||||
\(270\) | −18.5388 | − | 10.2897i | −1.12823 | − | 0.626213i | ||||
\(271\) | 11.0524i | 0.671386i | 0.941971 | + | 0.335693i | \(0.108971\pi\) | ||||
−0.941971 | + | 0.335693i | \(0.891029\pi\) | |||||||
\(272\) | −25.6463 | + | 2.98621i | −1.55504 | + | 0.181065i | ||||
\(273\) | 2.06783 | + | 16.2110i | 0.125151 | + | 0.981137i | ||||
\(274\) | −20.9946 | + | 3.38548i | −1.26833 | + | 0.204524i | ||||
\(275\) | 4.93598 | + | 18.4213i | 0.297651 | + | 1.11085i | ||||
\(276\) | 0.157769 | + | 0.0555902i | 0.00949657 | + | 0.00334614i | ||||
\(277\) | −6.77180 | + | 25.2727i | −0.406878 | + | 1.51849i | 0.393687 | + | 0.919245i | \(0.371199\pi\) |
−0.800565 | + | 0.599246i | \(0.795467\pi\) | |||||||
\(278\) | −12.0737 | − | 1.23484i | −0.724133 | − | 0.0740607i | ||||
\(279\) | 1.52405 | − | 5.50989i | 0.0912423 | − | 0.329869i | ||||
\(280\) | 5.73240 | − | 18.1600i | 0.342576 | − | 1.08527i | ||||
\(281\) | 12.8442 | + | 22.2468i | 0.766219 | + | 1.32713i | 0.939600 | + | 0.342275i | \(0.111198\pi\) |
−0.173381 | + | 0.984855i | \(0.555469\pi\) | |||||||
\(282\) | 0.213972 | − | 0.392936i | 0.0127419 | − | 0.0233990i | ||||
\(283\) | −8.40360 | − | 31.3627i | −0.499542 | − | 1.86432i | −0.502937 | − | 0.864323i | \(-0.667747\pi\) |
0.00339463 | − | 0.999994i | \(-0.498919\pi\) | |||||||
\(284\) | 1.38806 | − | 1.55906i | 0.0823663 | − | 0.0925133i | ||||
\(285\) | 4.03088 | + | 9.84335i | 0.238768 | + | 0.583070i | ||||
\(286\) | −11.6674 | + | 30.6507i | −0.689906 | + | 1.81241i | ||||
\(287\) | −0.0725036 | −0.00427975 | ||||||||
\(288\) | 0.100803 | + | 16.9703i | 0.00593990 | + | 0.999982i | ||||
\(289\) | −24.6657 | −1.45092 | ||||||||
\(290\) | −7.64216 | + | 20.0763i | −0.448763 | + | 1.17892i | ||||
\(291\) | 11.3214 | + | 1.53690i | 0.663672 | + | 0.0900950i | ||||
\(292\) | 6.31251 | − | 7.09018i | 0.369412 | − | 0.414921i | ||||
\(293\) | −5.91051 | − | 22.0583i | −0.345296 | − | 1.28866i | −0.892266 | − | 0.451510i | \(-0.850886\pi\) |
0.546971 | − | 0.837152i | \(-0.315781\pi\) | |||||||
\(294\) | 3.80787 | − | 0.0950308i | 0.222079 | − | 0.00554231i | ||||
\(295\) | −6.20747 | − | 10.7517i | −0.361413 | − | 0.625986i | ||||
\(296\) | 1.86819 | + | 0.589713i | 0.108586 | + | 0.0342764i | ||||
\(297\) | −18.4262 | + | 23.4219i | −1.06919 | + | 1.35908i | ||||
\(298\) | 1.42344 | + | 0.145582i | 0.0824576 | + | 0.00843335i | ||||
\(299\) | 0.0505356 | − | 0.188601i | 0.00292255 | − | 0.0109071i | ||||
\(300\) | 8.74739 | − | 7.49477i | 0.505031 | − | 0.432711i | ||||
\(301\) | 2.37760 | + | 8.87331i | 0.137042 | + | 0.511449i | ||||
\(302\) | 23.1601 | − | 3.73468i | 1.33271 | − | 0.214907i | ||||
\(303\) | −11.4551 | + | 8.71670i | −0.658076 | + | 0.500761i | ||||
\(304\) | 5.28330 | − | 6.67579i | 0.303018 | − | 0.382883i | ||||
\(305\) | − | 19.1110i | − | 1.09429i | ||||||
\(306\) | −3.00572 | + | 27.2203i | −0.171826 | + | 1.55608i | ||||
\(307\) | 10.3124 | + | 10.3124i | 0.588560 | + | 0.588560i | 0.937241 | − | 0.348681i | \(-0.113370\pi\) |
−0.348681 | + | 0.937241i | \(0.613370\pi\) | |||||||
\(308\) | −23.9161 | − | 12.0177i | −1.36275 | − | 0.684771i | ||||
\(309\) | −4.45821 | − | 10.8869i | −0.253619 | − | 0.619333i | ||||
\(310\) | 6.30351 | + | 4.55287i | 0.358015 | + | 0.258585i | ||||
\(311\) | −0.887812 | − | 0.512578i | −0.0503432 | − | 0.0290656i | 0.474617 | − | 0.880192i | \(-0.342587\pi\) |
−0.524960 | + | 0.851127i | \(0.675920\pi\) | |||||||
\(312\) | 19.7410 | − | 1.64047i | 1.11761 | − | 0.0928735i | ||||
\(313\) | −9.53399 | + | 5.50445i | −0.538893 | + | 0.311130i | −0.744630 | − | 0.667477i | \(-0.767374\pi\) |
0.205737 | + | 0.978607i | \(0.434041\pi\) | |||||||
\(314\) | 30.9224 | + | 3.16259i | 1.74505 | + | 0.178475i | ||||
\(315\) | −17.4104 | − | 10.2398i | −0.980967 | − | 0.576947i | ||||
\(316\) | 16.5075 | + | 3.41231i | 0.928621 | + | 0.191957i | ||||
\(317\) | 4.91593 | − | 18.3465i | 0.276106 | − | 1.03044i | −0.678990 | − | 0.734147i | \(-0.737582\pi\) |
0.955096 | − | 0.296295i | \(-0.0957512\pi\) | |||||||
\(318\) | −22.2942 | − | 5.38134i | −1.25020 | − | 0.301771i | ||||
\(319\) | 26.1478 | + | 15.0965i | 1.46400 | + | 0.845239i | ||||
\(320\) | −21.6856 | − | 7.90908i | −1.21226 | − | 0.442131i | ||||
\(321\) | −28.9540 | + | 3.69329i | −1.61605 | + | 0.206139i | ||||
\(322\) | 0.148927 | + | 0.0566898i | 0.00829935 | + | 0.00315920i | ||||
\(323\) | 9.71452 | − | 9.71452i | 0.540531 | − | 0.540531i | ||||
\(324\) | 17.5663 | + | 3.92730i | 0.975908 | + | 0.218183i | ||||
\(325\) | −9.50755 | − | 9.50755i | −0.527384 | − | 0.527384i | ||||
\(326\) | −0.279598 | + | 0.125424i | −0.0154855 | + | 0.00694660i | ||||
\(327\) | 0.160797 | + | 1.26059i | 0.00889210 | + | 0.0697107i | ||||
\(328\) | −0.00386234 | + | 0.0877985i | −0.000213262 | + | 0.00484786i | ||||
\(329\) | 0.213111 | − | 0.369119i | 0.0117492 | − | 0.0203502i | ||||
\(330\) | −21.1368 | − | 34.5874i | −1.16354 | − | 1.90398i | ||||
\(331\) | −18.4486 | − | 4.94329i | −1.01403 | − | 0.271708i | −0.286716 | − | 0.958015i | \(-0.592564\pi\) |
−0.727312 | + | 0.686307i | \(0.759230\pi\) | |||||||
\(332\) | −13.6248 | − | 20.7255i | −0.747761 | − | 1.13746i | ||||
\(333\) | 1.05341 | − | 1.79108i | 0.0577263 | − | 0.0981504i | ||||
\(334\) | −2.31744 | + | 1.88739i | −0.126805 | + | 0.103274i | ||||
\(335\) | 1.20722 | + | 2.09097i | 0.0659575 | + | 0.114242i | ||||
\(336\) | −0.307329 | + | 16.1637i | −0.0167662 | + | 0.881800i | ||||
\(337\) | −14.6805 | + | 25.4274i | −0.799699 | + | 1.38512i | 0.120113 | + | 0.992760i | \(0.461674\pi\) |
−0.919812 | + | 0.392359i | \(0.871659\pi\) | |||||||
\(338\) | −0.754201 | − | 4.67707i | −0.0410231 | − | 0.254399i | ||||
\(339\) | −17.7682 | + | 7.27610i | −0.965034 | + | 0.395184i | ||||
\(340\) | −33.2835 | − | 16.7248i | −1.80505 | − | 0.907027i | ||||
\(341\) | 7.72800 | − | 7.72800i | 0.418495 | − | 0.418495i | ||||
\(342\) | −5.64574 | − | 7.04734i | −0.305287 | − | 0.381076i | ||||
\(343\) | 19.9627 | 1.07788 | ||||||||
\(344\) | 10.8718 | − | 2.40647i | 0.586170 | − | 0.129748i | ||||
\(345\) | 0.146137 | + | 0.192046i | 0.00786776 | + | 0.0103394i | ||||
\(346\) | 2.57846 | + | 1.86236i | 0.138619 | + | 0.100121i | ||||
\(347\) | 20.5081 | − | 5.49514i | 1.10093 | − | 0.294995i | 0.337789 | − | 0.941222i | \(-0.390321\pi\) |
0.763145 | + | 0.646227i | \(0.223654\pi\) | |||||||
\(348\) | 1.40227 | − | 18.1826i | 0.0751698 | − | 0.974690i | ||||
\(349\) | 24.7859 | + | 6.64137i | 1.32676 | + | 0.355504i | 0.851506 | − | 0.524345i | \(-0.175690\pi\) |
0.475254 | + | 0.879849i | \(0.342356\pi\) | |||||||
\(350\) | 8.50851 | − | 6.92958i | 0.454799 | − | 0.370402i | ||||
\(351\) | 2.99394 | − | 20.7962i | 0.159805 | − | 1.11002i | ||||
\(352\) | −15.8269 | + | 28.3211i | −0.843577 | + | 1.50952i | ||||
\(353\) | 19.1119 | − | 11.0343i | 1.01723 | − | 0.587296i | 0.103927 | − | 0.994585i | \(-0.466859\pi\) |
0.913299 | + | 0.407289i | \(0.133526\pi\) | |||||||
\(354\) | 7.63619 | + | 7.26433i | 0.405859 | + | 0.386095i | ||||
\(355\) | 2.90888 | − | 0.779432i | 0.154387 | − | 0.0413680i | ||||
\(356\) | 4.26009 | + | 3.79284i | 0.225784 | + | 0.201020i | ||||
\(357\) | −3.50937 | + | 25.8513i | −0.185735 | + | 1.36819i | ||||
\(358\) | −3.54640 | − | 7.90571i | −0.187433 | − | 0.417830i | ||||
\(359\) | 13.1522i | 0.694145i | 0.937838 | + | 0.347073i | \(0.112824\pi\) | ||||
−0.937838 | + | 0.347073i | \(0.887176\pi\) | |||||||
\(360\) | −13.3274 | + | 20.5378i | −0.702415 | + | 1.08243i | ||||
\(361\) | − | 14.4700i | − | 0.761581i | ||||||
\(362\) | 25.4573 | − | 11.4198i | 1.33801 | − | 0.600212i | ||||
\(363\) | −35.0914 | + | 14.3700i | −1.84182 | + | 0.754231i | ||||
\(364\) | 18.8389 | − | 1.09309i | 0.987426 | − | 0.0572935i | ||||
\(365\) | 13.2288 | − | 3.54464i | 0.692425 | − | 0.185535i | ||||
\(366\) | 4.58876 | + | 15.5616i | 0.239858 | + | 0.813417i | ||||
\(367\) | 5.13483 | − | 2.96459i | 0.268036 | − | 0.154751i | −0.359959 | − | 0.932968i | \(-0.617209\pi\) |
0.627995 | + | 0.778218i | \(0.283876\pi\) | |||||||
\(368\) | 0.0765822 | − | 0.177323i | 0.00399212 | − | 0.00924362i | ||||
\(369\) | 0.0898410 | + | 0.0248502i | 0.00467694 | + | 0.00129365i | ||||
\(370\) | 1.78478 | + | 2.19144i | 0.0927860 | + | 0.113928i | ||||
\(371\) | −21.1035 | − | 5.65466i | −1.09564 | − | 0.293575i | ||||
\(372\) | −6.22599 | − | 2.19374i | −0.322803 | − | 0.113740i | ||||
\(373\) | −34.7509 | + | 9.31148i | −1.79933 | + | 0.482130i | −0.993874 | − | 0.110520i | \(-0.964748\pi\) |
−0.805460 | + | 0.592650i | \(0.798082\pi\) | |||||||
\(374\) | −30.6546 | + | 42.4418i | −1.58511 | + | 2.19461i | ||||
\(375\) | −8.30237 | + | 1.05903i | −0.428732 | + | 0.0546878i | ||||
\(376\) | −0.435633 | − | 0.277731i | −0.0224661 | − | 0.0143229i | ||||
\(377\) | −21.2868 | −1.09633 | ||||||||
\(378\) | 16.6356 | + | 4.15757i | 0.855642 | + | 0.213842i | ||||
\(379\) | 4.54655 | − | 4.54655i | 0.233540 | − | 0.233540i | −0.580628 | − | 0.814169i | \(-0.697193\pi\) |
0.814169 | + | 0.580628i | \(0.197193\pi\) | |||||||
\(380\) | 11.6596 | − | 3.86074i | 0.598127 | − | 0.198052i | ||||
\(381\) | −16.5512 | − | 12.8064i | −0.847945 | − | 0.656094i | ||||
\(382\) | 10.6992 | − | 1.72530i | 0.547420 | − | 0.0882742i | ||||
\(383\) | 16.4216 | − | 28.4430i | 0.839104 | − | 1.45337i | −0.0515410 | − | 0.998671i | \(-0.516413\pi\) |
0.890645 | − | 0.454700i | \(-0.150253\pi\) | |||||||
\(384\) | 19.5571 | + | 1.23322i | 0.998018 | + | 0.0629323i | ||||
\(385\) | −19.3071 | − | 33.4409i | −0.983983 | − | 1.70431i | ||||
\(386\) | −6.77010 | − | 8.31269i | −0.344589 | − | 0.423105i | ||||
\(387\) | 0.0951387 | − | 11.8100i | 0.00483617 | − | 0.600338i | ||||
\(388\) | 2.67064 | − | 12.9196i | 0.135581 | − | 0.655893i | ||||
\(389\) | 31.5961 | + | 8.46615i | 1.60199 | + | 0.429251i | 0.945641 | − | 0.325211i | \(-0.105435\pi\) |
0.656344 | + | 0.754462i | \(0.272102\pi\) | |||||||
\(390\) | 25.0981 | + | 13.6671i | 1.27089 | + | 0.692061i | ||||
\(391\) | 0.155848 | − | 0.269937i | 0.00788159 | − | 0.0136513i | ||||
\(392\) | 0.193299 | − | 4.39407i | 0.00976307 | − | 0.221934i | ||||
\(393\) | −4.33301 | − | 1.81527i | −0.218571 | − | 0.0915683i | ||||
\(394\) | −10.3142 | − | 22.9926i | −0.519621 | − | 1.15835i | ||||
\(395\) | 17.1958 | + | 17.1958i | 0.865213 | + | 0.865213i | ||||
\(396\) | 25.5160 | + | 23.0885i | 1.28223 | + | 1.16024i | ||||
\(397\) | −26.7370 | + | 26.7370i | −1.34189 | + | 1.34189i | −0.447720 | + | 0.894174i | \(0.647764\pi\) |
−0.894174 | + | 0.447720i | \(0.852236\pi\) | |||||||
\(398\) | −11.6267 | + | 30.5438i | −0.582792 | + | 1.53102i | ||||
\(399\) | −5.20911 | − | 6.84556i | −0.260782 | − | 0.342706i | ||||
\(400\) | −7.93815 | − | 10.6726i | −0.396907 | − | 0.533628i | ||||
\(401\) | 2.15088 | + | 1.24181i | 0.107410 | + | 0.0620130i | 0.552743 | − | 0.833352i | \(-0.313581\pi\) |
−0.445333 | + | 0.895365i | \(0.646915\pi\) | |||||||
\(402\) | −1.48507 | − | 1.41276i | −0.0740688 | − | 0.0704618i | ||||
\(403\) | −1.99427 | + | 7.44272i | −0.0993418 | + | 0.370748i | ||||
\(404\) | 9.13047 | + | 13.8889i | 0.454258 | + | 0.690996i | ||||
\(405\) | 18.0641 | + | 18.6557i | 0.897611 | + | 0.927010i | ||||
\(406\) | 1.76757 | − | 17.2825i | 0.0877229 | − | 0.857715i | ||||
\(407\) | 3.44020 | − | 1.98620i | 0.170524 | − | 0.0984522i | ||||
\(408\) | 31.1178 | + | 5.62681i | 1.54056 | + | 0.278568i | ||||
\(409\) | −6.04923 | − | 3.49252i | −0.299115 | − | 0.172694i | 0.342930 | − | 0.939361i | \(-0.388581\pi\) |
−0.642045 | + | 0.766667i | \(0.721914\pi\) | |||||||
\(410\) | −0.0742363 | + | 0.102781i | −0.00366627 | + | 0.00507601i | ||||
\(411\) | 25.8084 | + | 3.50355i | 1.27304 | + | 0.172818i | ||||
\(412\) | −12.8957 | + | 4.27004i | −0.635327 | + | 0.210370i | ||||
\(413\) | 7.09951 | + | 7.09951i | 0.349344 | + | 0.349344i | ||||
\(414\) | −0.165108 | − | 0.121289i | −0.00811464 | − | 0.00596105i | ||||
\(415\) | − | 35.7825i | − | 1.75649i | ||||||
\(416\) | −0.320116 | − | 22.8713i | −0.0156950 | − | 1.12136i | ||||
\(417\) | 13.7098 | + | 5.74361i | 0.671374 | + | 0.281266i | ||||
\(418\) | −2.74823 | − | 17.0427i | −0.134420 | − | 0.833588i | ||||
\(419\) | 7.82032 | + | 29.1858i | 0.382048 | + | 1.42582i | 0.842768 | + | 0.538276i | \(0.180924\pi\) |
−0.460721 | + | 0.887545i | \(0.652409\pi\) | |||||||
\(420\) | −13.1802 | + | 19.2419i | −0.643126 | + | 0.938910i | ||||
\(421\) | 8.37195 | − | 31.2445i | 0.408024 | − | 1.52277i | −0.390386 | − | 0.920651i | \(-0.627659\pi\) |
0.798410 | − | 0.602114i | \(-0.205675\pi\) | |||||||
\(422\) | 1.90468 | − | 18.6231i | 0.0927185 | − | 0.906560i | ||||
\(423\) | −0.390584 | + | 0.384342i | −0.0189909 | + | 0.0186873i | ||||
\(424\) | −7.97174 | + | 25.2541i | −0.387142 | + | 1.22645i | ||||
\(425\) | −10.7321 | − | 18.5885i | −0.520584 | − | 0.901677i | ||||
\(426\) | −2.18148 | + | 1.33313i | −0.105693 | + | 0.0645903i | ||||
\(427\) | 4.00016 | + | 14.9288i | 0.193581 | + | 0.722455i | ||||
\(428\) | 1.95233 | + | 33.6475i | 0.0943695 | + | 1.62641i | ||||
\(429\) | 24.5803 | − | 31.7679i | 1.18675 | − | 1.53377i | ||||
\(430\) | 15.0133 | + | 5.71488i | 0.724003 | + | 0.275596i | ||||
\(431\) | −30.2342 | −1.45633 | −0.728164 | − | 0.685403i | \(-0.759626\pi\) | ||||
−0.728164 | + | 0.685403i | \(0.759626\pi\) | |||||||
\(432\) | 5.92082 | − | 19.9235i | 0.284866 | − | 0.958567i | ||||
\(433\) | 34.5522 | 1.66047 | 0.830237 | − | 0.557410i | \(-0.188205\pi\) | ||||
0.830237 | + | 0.557410i | \(0.188205\pi\) | |||||||
\(434\) | −5.87705 | − | 2.23713i | −0.282107 | − | 0.107386i | ||||
\(435\) | 16.1002 | − | 20.8081i | 0.771944 | − | 0.997670i | ||||
\(436\) | 1.46493 | − | 0.0849999i | 0.0701576 | − | 0.00407076i | ||||
\(437\) | 0.0266003 | + | 0.0992738i | 0.00127247 | + | 0.00474891i | ||||
\(438\) | −9.92075 | + | 6.06269i | −0.474032 | + | 0.289687i | ||||
\(439\) | 1.65747 | + | 2.87082i | 0.0791066 | + | 0.137017i | 0.902865 | − | 0.429925i | \(-0.141460\pi\) |
−0.823758 | + | 0.566941i | \(0.808127\pi\) | |||||||
\(440\) | −41.5240 | + | 21.5986i | −1.97958 | + | 1.02967i | ||||
\(441\) | −4.49629 | − | 1.24368i | −0.214109 | − | 0.0592229i | ||||
\(442\) | 3.75553 | − | 36.7200i | 0.178633 | − | 1.74659i | ||||
\(443\) | 4.14656 | − | 15.4752i | 0.197009 | − | 0.735248i | −0.794729 | − | 0.606965i | \(-0.792387\pi\) |
0.991738 | − | 0.128283i | \(-0.0409466\pi\) | |||||||
\(444\) | −1.97949 | − | 1.35589i | −0.0939424 | − | 0.0643478i | ||||
\(445\) | 2.12977 | + | 7.94843i | 0.100961 | + | 0.376792i | ||||
\(446\) | −3.67127 | − | 22.7668i | −0.173840 | − | 1.07804i | ||||
\(447\) | −1.61633 | − | 0.677147i | −0.0764499 | − | 0.0320279i | ||||
\(448\) | 18.5954 | + | 1.63923i | 0.878552 | + | 0.0774465i | ||||
\(449\) | 11.1511i | 0.526253i | 0.964761 | + | 0.263126i | \(0.0847536\pi\) | ||||
−0.964761 | + | 0.263126i | \(0.915246\pi\) | |||||||
\(450\) | −12.9182 | + | 5.67037i | −0.608969 | + | 0.267304i | ||||
\(451\) | 0.126008 | + | 0.126008i | 0.00593349 | + | 0.00593349i | ||||
\(452\) | 6.96900 | + | 21.0467i | 0.327794 | + | 0.989955i | ||||
\(453\) | −28.4705 | − | 3.86494i | −1.33766 | − | 0.181591i | ||||
\(454\) | 19.0702 | − | 26.4030i | 0.895009 | − | 1.23915i | ||||
\(455\) | 23.5768 | + | 13.6121i | 1.10530 | + | 0.638143i | ||||
\(456\) | −8.56715 | + | 5.94332i | −0.401194 | + | 0.278322i | ||||
\(457\) | 20.6193 | − | 11.9046i | 0.964530 | − | 0.556872i | 0.0669658 | − | 0.997755i | \(-0.478668\pi\) |
0.897564 | + | 0.440884i | \(0.145335\pi\) | |||||||
\(458\) | −2.81216 | + | 27.4961i | −0.131404 | + | 1.28481i | ||||
\(459\) | 13.2089 | − | 30.8301i | 0.616540 | − | 1.43903i | ||||
\(460\) | 0.232849 | − | 0.153074i | 0.0108567 | − | 0.00713712i | ||||
\(461\) | 3.10783 | − | 11.5986i | 0.144746 | − | 0.540199i | −0.855021 | − | 0.518594i | \(-0.826456\pi\) |
0.999767 | − | 0.0216051i | \(-0.00687764\pi\) | |||||||
\(462\) | 23.7509 | + | 22.5943i | 1.10499 | + | 1.05118i | ||||
\(463\) | 11.7247 | + | 6.76924i | 0.544892 | + | 0.314593i | 0.747059 | − | 0.664758i | \(-0.231465\pi\) |
−0.202168 | + | 0.979351i | \(0.564799\pi\) | |||||||
\(464\) | −20.8341 | − | 3.06110i | −0.967201 | − | 0.142108i | ||||
\(465\) | −5.76697 | − | 7.57868i | −0.267437 | − | 0.351453i | ||||
\(466\) | −9.25816 | + | 24.3216i | −0.428876 | + | 1.12668i | ||||
\(467\) | 11.6000 | − | 11.6000i | 0.536784 | − | 0.536784i | −0.385799 | − | 0.922583i | \(-0.626074\pi\) |
0.922583 | + | 0.385799i | \(0.126074\pi\) | |||||||
\(468\) | −23.7184 | − | 5.10245i | −1.09638 | − | 0.235861i | ||||
\(469\) | −1.38070 | − | 1.38070i | −0.0637549 | − | 0.0637549i | ||||
\(470\) | −0.305060 | − | 0.680047i | −0.0140714 | − | 0.0313682i | ||||
\(471\) | −35.1128 | − | 14.7102i | −1.61791 | − | 0.677808i | ||||
\(472\) | 8.97538 | − | 8.21898i | 0.413125 | − | 0.378309i | ||||
\(473\) | 11.2893 | − | 19.5536i | 0.519081 | − | 0.899075i | ||||
\(474\) | −18.1310 | − | 9.87319i | −0.832784 | − | 0.453491i | ||||
\(475\) | 6.83624 | + | 1.83176i | 0.313668 | + | 0.0840471i | ||||
\(476\) | 29.5006 | + | 6.09813i | 1.35216 | + | 0.279507i | ||||
\(477\) | 24.2118 | + | 14.2399i | 1.10858 | + | 0.652002i | ||||
\(478\) | −22.2067 | − | 27.2665i | −1.01571 | − | 1.24714i | ||||
\(479\) | 2.09571 | + | 3.62988i | 0.0957555 | + | 0.165853i | 0.909924 | − | 0.414776i | \(-0.136140\pi\) |
−0.814168 | + | 0.580629i | \(0.802807\pi\) | |||||||
\(480\) | 22.5990 | + | 16.9856i | 1.03150 | + | 0.775284i | ||||
\(481\) | −1.40032 | + | 2.42543i | −0.0638493 | + | 0.110590i | ||||
\(482\) | −0.715461 | + | 0.115372i | −0.0325884 | + | 0.00525504i | ||||
\(483\) | −0.154355 | − | 0.119431i | −0.00702338 | − | 0.00543432i | ||||
\(484\) | 13.7635 | + | 41.5665i | 0.625614 | + | 1.88939i | ||||
\(485\) | 13.4582 | − | 13.4582i | 0.611107 | − | 0.611107i | ||||
\(486\) | −19.1886 | − | 10.8535i | −0.870412 | − | 0.492325i | ||||
\(487\) | −26.7152 | −1.21058 | −0.605291 | − | 0.796004i | \(-0.706943\pi\) | ||||
−0.605291 | + | 0.796004i | \(0.706943\pi\) | |||||||
\(488\) | 18.2912 | − | 4.04874i | 0.828003 | − | 0.183278i | ||||
\(489\) | 0.372296 | − | 0.0474890i | 0.0168358 | − | 0.00214753i | ||||
\(490\) | 3.71532 | − | 5.14391i | 0.167841 | − | 0.232378i | ||||
\(491\) | −2.54253 | + | 0.681269i | −0.114743 | + | 0.0307452i | −0.315733 | − | 0.948848i | \(-0.602251\pi\) |
0.200991 | + | 0.979593i | \(0.435584\pi\) | |||||||
\(492\) | 0.0357699 | − | 0.101517i | 0.00161263 | − | 0.00457675i | ||||
\(493\) | −32.8236 | − | 8.79506i | −1.47830 | − | 0.396109i | ||||
\(494\) | 7.68580 | + | 9.43703i | 0.345800 | + | 0.424592i | ||||
\(495\) | 12.4623 | + | 48.0549i | 0.560137 | + | 2.15991i | ||||
\(496\) | −3.02214 | + | 6.99766i | −0.135698 | + | 0.314204i | ||||
\(497\) | −2.10917 | + | 1.21773i | −0.0946091 | + | 0.0546226i | ||||
\(498\) | 8.59179 | + | 29.1368i | 0.385007 | + | 1.30565i | ||||
\(499\) | 9.20074 | − | 2.46533i | 0.411882 | − | 0.110363i | −0.0469272 | − | 0.998898i | \(-0.514943\pi\) |
0.458809 | + | 0.888535i | \(0.348276\pi\) | |||||||
\(500\) | 0.559818 | + | 9.64820i | 0.0250358 | + | 0.431480i | ||||
\(501\) | 3.38747 | − | 1.38718i | 0.151341 | − | 0.0619745i | ||||
\(502\) | −14.3876 | + | 6.45407i | −0.642148 | + | 0.288059i | ||||
\(503\) | 11.5953i | 0.517010i | 0.966010 | + | 0.258505i | \(0.0832299\pi\) | ||||
−0.966010 | + | 0.258505i | \(0.916770\pi\) | |||||||
\(504\) | 6.11208 | − | 18.8329i | 0.272254 | − | 0.838886i | ||||
\(505\) | 23.9791i | 1.06706i | ||||||||
\(506\) | −0.160304 | − | 0.357352i | −0.00712636 | − | 0.0158863i | ||||
\(507\) | −0.780505 | + | 5.74948i | −0.0346634 | + | 0.255343i | ||||
\(508\) | −16.0685 | + | 18.0481i | −0.712925 | + | 0.800754i | ||||
\(509\) | 11.1171 | − | 2.97882i | 0.492757 | − | 0.132034i | −0.00387934 | − | 0.999992i | \(-0.501235\pi\) |
0.496637 | + | 0.867959i | \(0.334568\pi\) | |||||||
\(510\) | 33.0536 | + | 31.4440i | 1.46364 | + | 1.39236i | ||||
\(511\) | −9.59190 | + | 5.53789i | −0.424321 | + | 0.244982i | ||||
\(512\) | 2.97563 | − | 22.4309i | 0.131506 | − | 0.991315i | ||||
\(513\) | 4.10846 | + | 10.2679i | 0.181393 | + | 0.453339i | ||||
\(514\) | −13.4837 | + | 10.9815i | −0.594739 | + | 0.484373i | ||||
\(515\) | −18.9300 | − | 5.07227i | −0.834154 | − | 0.223511i | ||||
\(516\) | −13.5971 | − | 1.04863i | −0.598580 | − | 0.0461636i | ||||
\(517\) | −1.01189 | + | 0.271135i | −0.0445029 | + | 0.0119245i | ||||
\(518\) | −1.85290 | − | 1.33830i | −0.0814117 | − | 0.0588016i | ||||
\(519\) | −2.35899 | − | 3.10007i | −0.103548 | − | 0.136078i | ||||
\(520\) | 17.7395 | − | 27.8253i | 0.777931 | − | 1.22022i | ||||
\(521\) | −12.7808 | −0.559939 | −0.279969 | − | 0.960009i | \(-0.590324\pi\) | ||||
−0.279969 | + | 0.960009i | \(0.590324\pi\) | |||||||
\(522\) | −8.11371 | + | 20.8093i | −0.355127 | + | 0.910800i | ||||
\(523\) | −22.1010 | + | 22.1010i | −0.966409 | + | 0.966409i | −0.999454 | − | 0.0330445i | \(-0.989480\pi\) |
0.0330445 | + | 0.999454i | \(0.489480\pi\) | |||||||
\(524\) | −2.43565 | + | 4.84711i | −0.106402 | + | 0.211747i | ||||
\(525\) | −12.4371 | + | 5.09303i | −0.542800 | + | 0.222278i | ||||
\(526\) | −2.20074 | − | 13.6476i | −0.0959567 | − | 0.595062i | ||||
\(527\) | −6.15020 | + | 10.6525i | −0.267907 | + | 0.464029i | ||||
\(528\) | 28.6259 | − | 27.5576i | 1.24578 | − | 1.19929i | ||||
\(529\) | −11.4988 | − | 19.9166i | −0.499949 | − | 0.865938i | ||||
\(530\) | −29.6239 | + | 24.1266i | −1.28678 | + | 1.04799i | ||||
\(531\) | −6.36386 | − | 11.2305i | −0.276168 | − | 0.487362i | ||||
\(532\) | −8.29999 | + | 5.45638i | −0.359850 | + | 0.236564i | ||||
\(533\) | −0.121357 | − | 0.0325174i | −0.00525654 | − | 0.00140849i | ||||
\(534\) | −3.64273 | − | 5.96083i | −0.157636 | − | 0.257950i | ||||
\(535\) | −24.3121 | + | 42.1097i | −1.05110 | + | 1.82056i | ||||
\(536\) | −1.74552 | + | 1.59842i | −0.0753949 | + | 0.0690410i | ||||
\(537\) | 1.34276 | + | 10.5268i | 0.0579445 | + | 0.454263i | ||||
\(538\) | 10.2961 | − | 4.61869i | 0.443896 | − | 0.199126i | ||||
\(539\) | −6.30635 | − | 6.30635i | −0.271634 | − | 0.271634i | ||||
\(540\) | 22.9269 | − | 19.3257i | 0.986618 | − | 0.831647i | ||||
\(541\) | 4.90029 | − | 4.90029i | 0.210680 | − | 0.210680i | −0.593876 | − | 0.804556i | \(-0.702403\pi\) |
0.804556 | + | 0.593876i | \(0.202403\pi\) | |||||||
\(542\) | −14.6079 | − | 5.56059i | −0.627464 | − | 0.238848i | ||||
\(543\) | −33.8974 | + | 4.32385i | −1.45468 | + | 0.185554i | ||||
\(544\) | 8.95609 | − | 35.3990i | 0.383989 | − | 1.51772i | ||||
\(545\) | 1.83336 | + | 1.05849i | 0.0785324 | + | 0.0453407i | ||||
\(546\) | −22.4664 | − | 5.42291i | −0.961474 | − | 0.232079i | ||||
\(547\) | 7.82071 | − | 29.1873i | 0.334390 | − | 1.24796i | −0.570140 | − | 0.821548i | \(-0.693111\pi\) |
0.904529 | − | 0.426411i | \(-0.140222\pi\) | |||||||
\(548\) | 6.08803 | − | 29.4517i | 0.260068 | − | 1.25811i | ||||
\(549\) | 0.160065 | − | 19.8697i | 0.00683141 | − | 0.848017i | ||||
\(550\) | −26.8307 | − | 2.74412i | −1.14407 | − | 0.117009i | ||||
\(551\) | 9.70357 | − | 5.60236i | 0.413386 | − | 0.238668i | ||||
\(552\) | −0.152849 | + | 0.180554i | −0.00650567 | + | 0.00768490i | ||||
\(553\) | −17.0320 | − | 9.83343i | −0.724275 | − | 0.418160i | ||||
\(554\) | −29.9959 | − | 21.6653i | −1.27440 | − | 0.920468i | ||||
\(555\) | −1.31176 | − | 3.20329i | −0.0556809 | − | 0.135972i | ||||
\(556\) | 7.70650 | − | 15.3365i | 0.326828 | − | 0.650412i | ||||
\(557\) | −5.23259 | − | 5.23259i | −0.221712 | − | 0.221712i | 0.587507 | − | 0.809219i | \(-0.300109\pi\) |
−0.809219 | + | 0.587507i | \(0.800109\pi\) | |||||||
\(558\) | 6.51563 | + | 4.78641i | 0.275829 | + | 0.202625i | ||||
\(559\) | 15.9185i | 0.673281i | ||||||||
\(560\) | 21.1179 | + | 16.7130i | 0.892396 | + | 0.706252i | ||||
\(561\) | 51.0275 | − | 38.8293i | 2.15438 | − | 1.63937i | ||||
\(562\) | −35.8655 | + | 5.78349i | −1.51289 | + | 0.243962i | ||||
\(563\) | −6.70709 | − | 25.0312i | −0.282670 | − | 1.05494i | −0.950525 | − | 0.310648i | \(-0.899454\pi\) |
0.667855 | − | 0.744291i | \(-0.267213\pi\) | |||||||
\(564\) | 0.411690 | + | 0.480497i | 0.0173353 | + | 0.0202326i | ||||
\(565\) | −8.27830 | + | 30.8950i | −0.348271 | + | 1.29976i | ||||
\(566\) | 45.6799 | + | 4.67191i | 1.92007 | + | 0.196375i | ||||
\(567\) | −18.0159 | − | 10.7921i | −0.756595 | − | 0.453227i | ||||
\(568\) | 1.36226 | + | 2.61898i | 0.0571590 | + | 0.109890i | ||||
\(569\) | −12.2193 | − | 21.1644i | −0.512259 | − | 0.887259i | −0.999899 | − | 0.0142138i | \(-0.995475\pi\) |
0.487640 | − | 0.873045i | \(-0.337858\pi\) | |||||||
\(570\) | −15.0379 | + | 0.375292i | −0.629868 | + | 0.0157193i | ||||
\(571\) | −1.41760 | − | 5.29056i | −0.0593248 | − | 0.221403i | 0.929899 | − | 0.367815i | \(-0.119894\pi\) |
−0.989224 | + | 0.146412i | \(0.953227\pi\) | |||||||
\(572\) | −34.6409 | − | 30.8414i | −1.44841 | − | 1.28955i | ||||
\(573\) | −13.1525 | − | 1.78548i | −0.549452 | − | 0.0745893i | ||||
\(574\) | 0.0364774 | − | 0.0958277i | 0.00152254 | − | 0.00399977i | ||||
\(575\) | 0.160572 | 0.00669630 | ||||||||
\(576\) | −22.4802 | − | 8.40470i | −0.936677 | − | 0.350196i | ||||
\(577\) | 18.8956 | 0.786634 | 0.393317 | − | 0.919403i | \(-0.371327\pi\) | ||||
0.393317 | + | 0.919403i | \(0.371327\pi\) | |||||||
\(578\) | 12.4096 | − | 32.6005i | 0.516170 | − | 1.35600i | ||||
\(579\) | 4.97581 | + | 12.1509i | 0.206788 | + | 0.504973i | ||||
\(580\) | −22.6899 | − | 20.2012i | −0.942147 | − | 0.838810i | ||||
\(581\) | 7.48972 | + | 27.9520i | 0.310726 | + | 1.15964i | ||||
\(582\) | −7.72724 | + | 14.1902i | −0.320304 | + | 0.588203i | ||||
\(583\) | 26.8494 | + | 46.5045i | 1.11199 | + | 1.92602i | ||||
\(584\) | 6.19516 | + | 11.9104i | 0.256358 | + | 0.492854i | ||||
\(585\) | −24.5491 | − | 24.9479i | −1.01498 | − | 1.03147i | ||||
\(586\) | 32.1280 | + | 3.28590i | 1.32720 | + | 0.135739i | ||||
\(587\) | −10.8169 | + | 40.3694i | −0.446463 | + | 1.66622i | 0.265583 | + | 0.964088i | \(0.414436\pi\) |
−0.712045 | + | 0.702133i | \(0.752231\pi\) | |||||||
\(588\) | −1.79018 | + | 5.08065i | −0.0738257 | + | 0.209523i | ||||
\(589\) | −1.04972 | − | 3.91761i | −0.0432530 | − | 0.161422i | ||||
\(590\) | 17.3335 | − | 2.79511i | 0.713608 | − | 0.115073i | ||||
\(591\) | 3.90523 | + | 30.6156i | 0.160640 | + | 1.25936i | ||||
\(592\) | −1.71933 | + | 2.17248i | −0.0706639 | + | 0.0892885i | ||||
\(593\) | − | 8.51816i | − | 0.349799i | −0.984586 | − | 0.174899i | \(-0.944040\pi\) | ||
0.984586 | − | 0.174899i | \(-0.0559600\pi\) | |||||||
\(594\) | −21.6863 | − | 36.1376i | −0.889798 | − | 1.48274i | ||||
\(595\) | 30.7306 | + | 30.7306i | 1.25983 | + | 1.25983i | ||||
\(596\) | −0.908563 | + | 1.80811i | −0.0372162 | + | 0.0740630i | ||||
\(597\) | 24.4945 | − | 31.6571i | 1.00249 | − | 1.29564i | ||||
\(598\) | 0.223848 | + | 0.161680i | 0.00915385 | + | 0.00661159i | ||||
\(599\) | −30.1886 | − | 17.4294i | −1.23347 | − | 0.712145i | −0.265719 | − | 0.964051i | \(-0.585609\pi\) |
−0.967752 | + | 0.251906i | \(0.918943\pi\) | |||||||
\(600\) | 5.50489 | + | 15.3321i | 0.224736 | + | 0.625930i | ||||
\(601\) | 17.4933 | − | 10.0997i | 0.713565 | − | 0.411977i | −0.0988146 | − | 0.995106i | \(-0.531505\pi\) |
0.812380 | + | 0.583129i | \(0.198172\pi\) | |||||||
\(602\) | −12.9240 | − | 1.32180i | −0.526743 | − | 0.0538727i | ||||
\(603\) | 1.23763 | + | 2.18409i | 0.0504004 | + | 0.0889430i | ||||
\(604\) | −6.71599 | + | 32.4896i | −0.273270 | + | 1.32198i | ||||
\(605\) | −16.3493 | + | 61.0165i | −0.664695 | + | 2.48067i | ||||
\(606\) | −5.75765 | − | 19.5256i | −0.233889 | − | 0.793172i | ||||
\(607\) | −0.0948018 | − | 0.0547339i | −0.00384789 | − | 0.00222158i | 0.498075 | − | 0.867134i | \(-0.334040\pi\) |
−0.501923 | + | 0.864912i | \(0.667374\pi\) | |||||||
\(608\) | 6.16528 | + | 10.3416i | 0.250035 | + | 0.419406i | ||||
\(609\) | −8.22148 | + | 19.6245i | −0.333151 | + | 0.795224i | ||||
\(610\) | 25.2589 | + | 9.61494i | 1.02270 | + | 0.389298i | ||||
\(611\) | 0.522253 | − | 0.522253i | 0.0211281 | − | 0.0211281i | ||||
\(612\) | −34.4648 | − | 17.6675i | −1.39316 | − | 0.714167i | ||||
\(613\) | 13.4094 | + | 13.4094i | 0.541603 | + | 0.541603i | 0.923999 | − | 0.382396i | \(-0.124901\pi\) |
−0.382396 | + | 0.923999i | \(0.624901\pi\) | |||||||
\(614\) | −18.8181 | + | 8.44157i | −0.759438 | + | 0.340674i | ||||
\(615\) | 0.123573 | − | 0.0940328i | 0.00498296 | − | 0.00379177i | ||||
\(616\) | 27.9162 | − | 25.5635i | 1.12477 | − | 1.02998i | ||||
\(617\) | −1.92944 | + | 3.34190i | −0.0776765 | + | 0.134540i | −0.902247 | − | 0.431219i | \(-0.858083\pi\) |
0.824571 | + | 0.565759i | \(0.191417\pi\) | |||||||
\(618\) | 16.6321 | − | 0.415078i | 0.669042 | − | 0.0166969i | ||||
\(619\) | −4.87142 | − | 1.30529i | −0.195799 | − | 0.0524642i | 0.159587 | − | 0.987184i | \(-0.448984\pi\) |
−0.355386 | + | 0.934720i | \(0.615650\pi\) | |||||||
\(620\) | −9.18887 | + | 6.04073i | −0.369034 | + | 0.242601i | ||||
\(621\) | 0.150330 | + | 0.200895i | 0.00603255 | + | 0.00806163i | ||||
\(622\) | 1.12414 | − | 0.915533i | 0.0450739 | − | 0.0367095i | ||||
\(623\) | −3.32741 | − | 5.76324i | −0.133310 | − | 0.230899i | ||||
\(624\) | −7.76371 | + | 26.9169i | −0.310797 | + | 1.07754i | ||||
\(625\) | −15.2845 | + | 26.4735i | −0.611379 | + | 1.05894i | ||||
\(626\) | −2.47855 | − | 15.3704i | −0.0990628 | − | 0.614324i | ||||
\(627\) | −2.84408 | + | 20.9505i | −0.113582 | + | 0.836682i | ||||
\(628\) | −19.7374 | + | 39.2789i | −0.787608 | + | 1.56740i | ||||
\(629\) | −3.16137 | + | 3.16137i | −0.126052 | + | 0.126052i | ||||
\(630\) | 22.2933 | − | 17.8595i | 0.888185 | − | 0.711541i | ||||
\(631\) | 33.0513 | 1.31575 | 0.657876 | − | 0.753127i | \(-0.271455\pi\) | ||||
0.657876 | + | 0.753127i | \(0.271455\pi\) | |||||||
\(632\) | −12.8152 | + | 20.1011i | −0.509759 | + | 0.799581i | ||||
\(633\) | −8.85925 | + | 21.1468i | −0.352123 | + | 0.840510i | ||||
\(634\) | 21.7752 | + | 15.7277i | 0.864805 | + | 0.624627i | ||||
\(635\) | −33.6739 | + | 9.02289i | −1.33631 | + | 0.358063i | ||||
\(636\) | 18.3290 | − | 26.7587i | 0.726790 | − | 1.06105i | ||||
\(637\) | 6.07355 | + | 1.62740i | 0.240643 | + | 0.0644801i | ||||
\(638\) | −33.1082 | + | 26.9643i | −1.31077 | + | 1.06753i | ||||
\(639\) | 3.03089 | − | 0.786012i | 0.119900 | − | 0.0310942i | ||||
\(640\) | 21.3636 | − | 24.6826i | 0.844472 | − | 0.975664i | ||||
\(641\) | 3.03668 | − | 1.75323i | 0.119942 | − | 0.0692483i | −0.438829 | − | 0.898571i | \(-0.644607\pi\) |
0.558770 | + | 0.829322i | \(0.311273\pi\) | |||||||
\(642\) | 9.68568 | − | 40.1265i | 0.382263 | − | 1.58367i | ||||
\(643\) | −1.39293 | + | 0.373234i | −0.0549318 | + | 0.0147189i | −0.286180 | − | 0.958176i | \(-0.592386\pi\) |
0.231248 | + | 0.972895i | \(0.425719\pi\) | |||||||
\(644\) | −0.149853 | + | 0.168314i | −0.00590504 | + | 0.00663251i | ||||
\(645\) | −15.5605 | − | 12.0399i | −0.612693 | − | 0.474069i | ||||
\(646\) | 7.95216 | + | 17.7271i | 0.312873 | + | 0.697465i | ||||
\(647\) | 17.3282i | 0.681241i | 0.940201 | + | 0.340621i | \(0.110637\pi\) | ||||
−0.940201 | + | 0.340621i | \(0.889363\pi\) | |||||||
\(648\) | −14.0285 | + | 21.2415i | −0.551092 | + | 0.834444i | ||||
\(649\) | − | 24.6773i | − | 0.968668i | ||||||
\(650\) | 17.3494 | − | 7.78273i | 0.680501 | − | 0.305264i | ||||
\(651\) | 6.09126 | + | 4.71309i | 0.238735 | + | 0.184721i | ||||
\(652\) | −0.0251035 | − | 0.432646i | −0.000983127 | − | 0.0169437i | ||||
\(653\) | −4.06026 | + | 1.08794i | −0.158890 | + | 0.0425745i | −0.337387 | − | 0.941366i | \(-0.609543\pi\) |
0.178497 | + | 0.983940i | \(0.442877\pi\) | |||||||
\(654\) | −1.74701 | − | 0.421692i | −0.0683136 | − | 0.0164895i | ||||
\(655\) | −6.77753 | + | 3.91301i | −0.264820 | + | 0.152894i | ||||
\(656\) | −0.114100 | − | 0.0492773i | −0.00445485 | − | 0.00192395i | ||||
\(657\) | 13.7836 | − | 3.57456i | 0.537751 | − | 0.139457i | ||||
\(658\) | 0.380644 | + | 0.467375i | 0.0148390 | + | 0.0182202i | ||||
\(659\) | 45.3085 | + | 12.1404i | 1.76497 | + | 0.472922i | 0.987715 | − | 0.156265i | \(-0.0499452\pi\) |
0.777254 | + | 0.629187i | \(0.216612\pi\) | |||||||
\(660\) | 56.3482 | − | 10.5351i | 2.19335 | − | 0.410078i | ||||
\(661\) | 31.6766 | − | 8.48771i | 1.23208 | − | 0.330134i | 0.416689 | − | 0.909049i | \(-0.363191\pi\) |
0.815388 | + | 0.578915i | \(0.196524\pi\) | |||||||
\(662\) | 15.8152 | − | 21.8964i | 0.614677 | − | 0.851029i | ||||
\(663\) | −17.4681 | + | 41.6960i | −0.678406 | + | 1.61934i | ||||
\(664\) | 34.2476 | − | 7.58068i | 1.32906 | − | 0.294187i | ||||
\(665\) | −14.3299 | −0.555690 | ||||||||
\(666\) | 1.83728 | + | 2.29339i | 0.0711930 | + | 0.0888672i | ||||
\(667\) | 0.179755 | − | 0.179755i | 0.00696015 | − | 0.00696015i | ||||
\(668\) | −1.32863 | − | 4.01252i | −0.0514062 | − | 0.155249i | ||||
\(669\) | −3.79931 | + | 27.9871i | −0.146890 | + | 1.08204i | ||||
\(670\) | −3.37099 | + | 0.543589i | −0.130233 | + | 0.0210007i | ||||
\(671\) | 18.9935 | − | 32.8977i | 0.733236 | − | 1.27000i | ||||
\(672\) | −21.2088 | − | 8.53831i | −0.818147 | − | 0.329372i | ||||
\(673\) | −1.37128 | − | 2.37512i | −0.0528588 | − | 0.0915541i | 0.838385 | − | 0.545078i | \(-0.183500\pi\) |
−0.891244 | + | 0.453524i | \(0.850167\pi\) | |||||||
\(674\) | −26.2214 | − | 32.1960i | −1.01001 | − | 1.24014i | ||||
\(675\) | 17.1567 | − | 2.04815i | 0.660363 | − | 0.0788333i | ||||
\(676\) | 6.56111 | + | 1.35626i | 0.252350 | + | 0.0521639i | ||||
\(677\) | 34.2273 | + | 9.17117i | 1.31546 | + | 0.352477i | 0.847276 | − | 0.531154i | \(-0.178241\pi\) |
0.468185 | + | 0.883630i | \(0.344908\pi\) | |||||||
\(678\) | −0.677437 | − | 27.1448i | −0.0260168 | − | 1.04249i | ||||
\(679\) | −7.69612 | + | 13.3301i | −0.295350 | + | 0.511561i | ||||
\(680\) | 38.8503 | − | 35.5763i | 1.48984 | − | 1.36429i | ||||
\(681\) | −31.7441 | + | 24.1556i | −1.21644 | + | 0.925645i | ||||
\(682\) | 6.32602 | + | 14.1021i | 0.242236 | + | 0.539998i | ||||
\(683\) | 0.646566 | + | 0.646566i | 0.0247402 | + | 0.0247402i | 0.719369 | − | 0.694628i | \(-0.244431\pi\) |
−0.694628 | + | 0.719369i | \(0.744431\pi\) | |||||||
\(684\) | 12.1549 | − | 3.91636i | 0.464753 | − | 0.149746i | ||||
\(685\) | 30.6796 | − | 30.6796i | 1.17221 | − | 1.17221i | ||||
\(686\) | −10.0435 | + | 26.3846i | −0.383461 | + | 1.00737i | ||||
\(687\) | 13.0802 | − | 31.2221i | 0.499041 | − | 1.19120i | ||||
\(688\) | −2.28912 | + | 15.5800i | −0.0872718 | + | 0.593981i | ||||
\(689\) | −32.7870 | − | 18.9296i | −1.24908 | − | 0.721159i | ||||
\(690\) | −0.327350 | + | 0.0965282i | −0.0124620 | + | 0.00367476i | ||||
\(691\) | 9.25241 | − | 34.5305i | 0.351978 | − | 1.31360i | −0.532266 | − | 0.846577i | \(-0.678659\pi\) |
0.884245 | − | 0.467024i | \(-0.154674\pi\) | |||||||
\(692\) | −3.75872 | + | 2.47097i | −0.142885 | + | 0.0939321i | ||||
\(693\) | −19.7936 | − | 34.9303i | −0.751895 | − | 1.32689i | ||||
\(694\) | −3.05497 | + | 29.8702i | −0.115965 | + | 1.13386i | ||||
\(695\) | 21.4444 | − | 12.3810i | 0.813434 | − | 0.469636i | ||||
\(696\) | 23.3264 | + | 11.0013i | 0.884184 | + | 0.417002i | ||||
\(697\) | −0.173693 | − | 0.100282i | −0.00657908 | − | 0.00379844i | ||||
\(698\) | −21.2479 | + | 29.4181i | −0.804246 | + | 1.11349i | ||||
\(699\) | 19.5047 | − | 25.2081i | 0.737734 | − | 0.953458i | ||||
\(700\) | 4.87807 | + | 14.7320i | 0.184374 | + | 0.556818i | ||||
\(701\) | 25.7079 | + | 25.7079i | 0.970975 | + | 0.970975i | 0.999590 | − | 0.0286153i | \(-0.00910977\pi\) |
−0.0286153 | + | 0.999590i | \(0.509110\pi\) | |||||||
\(702\) | 25.9800 | + | 14.4199i | 0.980553 | + | 0.544244i | ||||
\(703\) | − | 1.47417i | − | 0.0555995i | ||||||
\(704\) | −29.4692 | − | 35.1670i | −1.11066 | − | 1.32541i | ||||
\(705\) | 0.115504 | + | 0.905509i | 0.00435013 | + | 0.0341034i | ||||
\(706\) | 4.96853 | + | 30.8116i | 0.186993 | + | 1.15961i | ||||
\(707\) | −5.01912 | − | 18.7316i | −0.188763 | − | 0.704474i | ||||
\(708\) | −13.4431 | + | 6.43795i | −0.505222 | + | 0.241953i | ||||
\(709\) | −6.43610 | + | 24.0199i | −0.241713 | + | 0.902085i | 0.733294 | + | 0.679911i | \(0.237982\pi\) |
−0.975007 | + | 0.222173i | \(0.928685\pi\) | |||||||
\(710\) | −0.433318 | + | 4.23680i | −0.0162622 | + | 0.159004i | ||||
\(711\) | 17.7344 | + | 18.0225i | 0.665093 | + | 0.675896i | ||||
\(712\) | −7.15627 | + | 3.72232i | −0.268193 | + | 0.139500i | ||||
\(713\) | −0.0460091 | − | 0.0796901i | −0.00172305 | − | 0.00298442i | ||||
\(714\) | −32.4019 | − | 17.6444i | −1.21261 | − | 0.660324i | ||||
\(715\) | −17.3183 | − | 64.6326i | −0.647666 | − | 2.41712i | ||||
\(716\) | 12.2332 | − | 0.709806i | 0.457175 | − | 0.0265267i | ||||
\(717\) | 16.3212 | + | 39.8562i | 0.609527 | + | 1.48846i | ||||
\(718\) | −17.3832 | − | 6.61700i | −0.648734 | − | 0.246944i | ||||
\(719\) | −3.00765 | −0.112167 | −0.0560833 | − | 0.998426i | \(-0.517861\pi\) | ||||
−0.0560833 | + | 0.998426i | \(0.517861\pi\) | |||||||
\(720\) | −20.4395 | − | 27.9475i | −0.761735 | − | 1.04154i | ||||
\(721\) | 15.8491 | 0.590251 | ||||||||
\(722\) | 19.1250 | + | 7.28004i | 0.711758 | + | 0.270935i | ||||
\(723\) | 0.879510 | + | 0.119395i | 0.0327093 | + | 0.00444036i | ||||
\(724\) | 2.28566 | + | 39.3923i | 0.0849459 | + | 1.46400i | ||||
\(725\) | −4.53080 | − | 16.9092i | −0.168270 | − | 0.627992i | ||||
\(726\) | −1.33791 | − | 53.6099i | −0.0496546 | − | 1.98965i | ||||
\(727\) | −19.1265 | − | 33.1281i | −0.709363 | − | 1.22865i | −0.965094 | − | 0.261905i | \(-0.915649\pi\) |
0.255730 | − | 0.966748i | \(-0.417684\pi\) | |||||||
\(728\) | −8.03332 | + | 25.4492i | −0.297735 | + | 0.943211i | ||||
\(729\) | 18.6250 | + | 19.5477i | 0.689814 | + | 0.723987i | ||||
\(730\) | −1.97061 | + | 19.2678i | −0.0729356 | + | 0.713132i | ||||
\(731\) | −6.57703 | + | 24.5458i | −0.243260 | + | 0.907859i | ||||
\(732\) | −22.8763 | − | 1.76426i | −0.845534 | − | 0.0652091i | ||||
\(733\) | 3.07838 | + | 11.4887i | 0.113702 | + | 0.424343i | 0.999187 | − | 0.0403263i | \(-0.0128397\pi\) |
−0.885484 | + | 0.464670i | \(0.846173\pi\) | |||||||
\(734\) | 1.33490 | + | 8.27820i | 0.0492721 | + | 0.305554i | ||||
\(735\) | −6.18449 | + | 4.70608i | −0.228119 | + | 0.173586i | ||||
\(736\) | 0.195838 | + | 0.190432i | 0.00721869 | + | 0.00701940i | ||||
\(737\) | 4.79920i | 0.176781i | ||||||||
\(738\) | −0.0780444 | + | 0.106240i | −0.00287285 | + | 0.00391075i | ||||
\(739\) | −30.0692 | − | 30.0692i | −1.10611 | − | 1.10611i | −0.993657 | − | 0.112457i | \(-0.964128\pi\) |
−0.112457 | − | 0.993657i | \(-0.535872\pi\) | |||||||
\(740\) | −3.79436 | + | 1.25639i | −0.139483 | + | 0.0461858i | ||||
\(741\) | −5.64883 | − | 13.7944i | −0.207515 | − | 0.506748i | ||||
\(742\) | 18.0911 | − | 25.0475i | 0.664147 | − | 0.919521i | ||||
\(743\) | −4.00273 | − | 2.31098i | −0.146846 | − | 0.0847815i | 0.424777 | − | 0.905298i | \(-0.360353\pi\) |
−0.571623 | + | 0.820517i | \(0.693686\pi\) | |||||||
\(744\) | 6.03183 | − | 7.12517i | 0.221137 | − | 0.261221i | ||||
\(745\) | −2.52821 | + | 1.45966i | −0.0926264 | + | 0.0534779i | ||||
\(746\) | 5.17663 | − | 50.6148i | 0.189530 | − | 1.85314i | ||||
\(747\) | 0.299699 | − | 37.2031i | 0.0109654 | − | 1.36119i | ||||
\(748\) | −40.6725 | − | 61.8691i | −1.48713 | − | 2.26216i | ||||
\(749\) | 10.1776 | − | 37.9834i | 0.371882 | − | 1.38788i | ||||
\(750\) | 2.77730 | − | 11.5060i | 0.101413 | − | 0.420140i | ||||
\(751\) | −10.7097 | − | 6.18323i | −0.390801 | − | 0.225629i | 0.291706 | − | 0.956508i | \(-0.405777\pi\) |
−0.682507 | + | 0.730879i | \(0.739110\pi\) | |||||||
\(752\) | 0.586247 | − | 0.436045i | 0.0213782 | − | 0.0159009i | ||||
\(753\) | 19.1576 | − | 2.44369i | 0.698142 | − | 0.0890529i | ||||
\(754\) | 10.7096 | − | 28.1347i | 0.390022 | − | 1.02461i | ||||
\(755\) | −33.8442 | + | 33.8442i | −1.23172 | + | 1.23172i | ||||
\(756\) | −13.8646 | + | 19.8955i | −0.504250 | + | 0.723591i | ||||
\(757\) | 15.8033 | + | 15.8033i | 0.574380 | + | 0.574380i | 0.933349 | − | 0.358969i | \(-0.116872\pi\) |
−0.358969 | + | 0.933349i | \(0.616872\pi\) | |||||||
\(758\) | 3.72173 | + | 8.29657i | 0.135179 | + | 0.301345i | ||||
\(759\) | 0.0606953 | + | 0.475829i | 0.00220310 | + | 0.0172715i | ||||
\(760\) | −0.763369 | + | 17.3529i | −0.0276903 | + | 0.629455i | ||||
\(761\) | 3.67823 | − | 6.37089i | 0.133336 | − | 0.230944i | −0.791625 | − | 0.611008i | \(-0.790764\pi\) |
0.924961 | + | 0.380063i | \(0.124098\pi\) | |||||||
\(762\) | 25.2533 | − | 15.4326i | 0.914831 | − | 0.559064i | ||||
\(763\) | −1.65371 | − | 0.443110i | −0.0598682 | − | 0.0160416i | ||||
\(764\) | −3.10257 | + | 15.0091i | −0.112247 | + | 0.543011i | ||||
\(765\) | −27.5463 | − | 48.6117i | −0.995938 | − | 1.75756i | ||||
\(766\) | 29.3311 | + | 36.0143i | 1.05978 | + | 1.30125i | ||||
\(767\) | 8.69908 | + | 15.0673i | 0.314106 | + | 0.544047i | ||||
\(768\) | −11.4693 | + | 25.2281i | −0.413863 | + | 0.910339i | ||||
\(769\) | 0.792301 | − | 1.37231i | 0.0285711 | − | 0.0494866i | −0.851386 | − | 0.524539i | \(-0.824238\pi\) |
0.879957 | + | 0.475053i | \(0.157571\pi\) | |||||||
\(770\) | 53.9124 | − | 8.69364i | 1.94287 | − | 0.313297i | ||||
\(771\) | 19.7094 | − | 8.07107i | 0.709818 | − | 0.290672i | ||||
\(772\) | 14.3930 | − | 4.76580i | 0.518014 | − | 0.171525i | ||||
\(773\) | 6.11545 | − | 6.11545i | 0.219958 | − | 0.219958i | −0.588523 | − | 0.808481i | \(-0.700290\pi\) |
0.808481 | + | 0.588523i | \(0.200290\pi\) | |||||||
\(774\) | 15.5614 | + | 6.06751i | 0.559344 | + | 0.218092i | ||||
\(775\) | −6.33660 | −0.227617 | ||||||||
\(776\) | 15.7321 | + | 10.0298i | 0.564751 | + | 0.360047i | ||||
\(777\) | 1.69518 | + | 2.22773i | 0.0608144 | + | 0.0799193i | ||||
\(778\) | −27.0860 | + | 37.5010i | −0.971081 | + | 1.34448i | ||||
\(779\) | 0.0638783 | − | 0.0171161i | 0.00228868 | − | 0.000613249i | ||||
\(780\) | −30.6909 | + | 26.2960i | −1.09891 | + | 0.941546i | ||||
\(781\) | 5.78201 | + | 1.54928i | 0.206896 | + | 0.0554377i | ||||
\(782\) | 0.278366 | + | 0.341793i | 0.00995434 | + | 0.0122225i | ||||
\(783\) | 16.9136 | − | 21.4993i | 0.604444 | − | 0.768323i | ||||
\(784\) | 5.71037 | + | 2.46619i | 0.203942 | + | 0.0880781i | ||||
\(785\) | −54.9221 | + | 31.7093i | −1.96025 | + | 1.13175i | ||||
\(786\) | 4.57922 | − | 4.81363i | 0.163335 | − | 0.171697i | ||||
\(787\) | −27.9901 | + | 7.49992i | −0.997739 | + | 0.267343i | −0.720498 | − | 0.693457i | \(-0.756087\pi\) |
−0.277241 | + | 0.960800i | \(0.589420\pi\) | |||||||
\(788\) | 35.5784 | − | 2.06437i | 1.26743 | − | 0.0735401i | ||||
\(789\) | −2.27749 | + | 16.7768i | −0.0810809 | + | 0.597271i | ||||
\(790\) | −31.3790 | + | 14.0762i | −1.11641 | + | 0.500808i | ||||
\(791\) | − | 25.8668i | − | 0.919719i | ||||||
\(792\) | −43.3534 | + | 22.1083i | −1.54050 | + | 0.785585i | ||||
\(793\) | 26.7819i | 0.951053i | ||||||||
\(794\) | −21.8865 | − | 48.7899i | −0.776724 | − | 1.73149i | ||||
\(795\) | 43.3021 | − | 17.7323i | 1.53577 | − | 0.628900i | ||||
\(796\) | −34.5201 | − | 30.7338i | −1.22353 | − | 1.08933i | ||||
\(797\) | −43.3197 | + | 11.6075i | −1.53446 | + | 0.411158i | −0.924472 | − | 0.381250i | \(-0.875494\pi\) |
−0.609991 | + | 0.792408i | \(0.708827\pi\) | |||||||
\(798\) | 11.6685 | − | 3.44078i | 0.413060 | − | 0.121802i | ||||
\(799\) | 1.02107 | − | 0.589518i | 0.0361230 | − | 0.0208556i | ||||
\(800\) | 18.0997 | − | 5.12233i | 0.639919 | − | 0.181102i | ||||
\(801\) | 2.14776 | + | 8.28182i | 0.0758872 | + | 0.292624i | ||||
\(802\) | −2.72343 | + | 2.21804i | −0.0961675 | + | 0.0783216i | ||||
\(803\) | 26.2949 | + | 7.04571i | 0.927928 | + | 0.248638i | ||||
\(804\) | 2.61439 | − | 1.25204i | 0.0922024 | − | 0.0441562i | ||||
\(805\) | −0.314039 | + | 0.0841464i | −0.0110684 | + | 0.00296577i | ||||
\(806\) | −8.83367 | − | 6.38034i | −0.311153 | − | 0.224738i | ||||
\(807\) | −13.7096 | + | 1.74876i | −0.482602 | + | 0.0615593i | ||||
\(808\) | −22.9505 | + | 5.08007i | −0.807395 | + | 0.178716i | ||||
\(809\) | −17.6588 | −0.620851 | −0.310426 | − | 0.950598i | \(-0.600472\pi\) | ||||
−0.310426 | + | 0.950598i | \(0.600472\pi\) | |||||||
\(810\) | −33.7454 | + | 14.4893i | −1.18569 | + | 0.509102i | ||||
\(811\) | −0.326636 | + | 0.326636i | −0.0114697 | + | 0.0114697i | −0.712818 | − | 0.701349i | \(-0.752582\pi\) |
0.701349 | + | 0.712818i | \(0.252582\pi\) | |||||||
\(812\) | 21.9529 | + | 11.0312i | 0.770396 | + | 0.387119i | ||||
\(813\) | 15.1404 | + | 11.7148i | 0.530996 | + | 0.410856i | ||||
\(814\) | 0.894348 | + | 5.54617i | 0.0313469 | + | 0.194393i | ||||
\(815\) | 0.312609 | − | 0.541455i | 0.0109502 | − | 0.0189663i | ||||
\(816\) | −23.0926 | + | 38.2973i | −0.808403 | + | 1.34067i | ||||
\(817\) | −4.18950 | − | 7.25642i | −0.146572 | − | 0.253870i | ||||
\(818\) | 7.65949 | − | 6.23811i | 0.267808 | − | 0.218110i | ||||
\(819\) | 24.3988 | + | 14.3499i | 0.852563 | + | 0.501427i | ||||
\(820\) | −0.0984965 | − | 0.149828i | −0.00343965 | − | 0.00523223i | ||||
\(821\) | −39.4337 | − | 10.5662i | −1.37625 | − | 0.368764i | −0.506490 | − | 0.862246i | \(-0.669057\pi\) |
−0.869756 | + | 0.493482i | \(0.835724\pi\) | |||||||
\(822\) | −17.6151 | + | 32.3482i | −0.614399 | + | 1.12827i | ||||
\(823\) | 3.27150 | − | 5.66640i | 0.114037 | − | 0.197518i | −0.803357 | − | 0.595497i | \(-0.796955\pi\) |
0.917394 | + | 0.397979i | \(0.130288\pi\) | |||||||
\(824\) | 0.844297 | − | 19.1925i | 0.0294125 | − | 0.668604i | ||||
\(825\) | 30.4666 | + | 12.7637i | 1.06071 | + | 0.444375i | ||||
\(826\) | −12.9552 | + | 5.81155i | −0.450770 | + | 0.202210i | ||||
\(827\) | 0.510932 | + | 0.510932i | 0.0177668 | + | 0.0177668i | 0.715934 | − | 0.698168i | \(-0.246001\pi\) |
−0.698168 | + | 0.715934i | \(0.746001\pi\) | |||||||
\(828\) | 0.243376 | − | 0.157201i | 0.00845789 | − | 0.00546311i | ||||
\(829\) | 0.210205 | − | 0.210205i | 0.00730073 | − | 0.00730073i | −0.703447 | − | 0.710748i | \(-0.748357\pi\) |
0.710748 | + | 0.703447i | \(0.248357\pi\) | |||||||
\(830\) | 47.2936 | + | 18.0026i | 1.64158 | + | 0.624879i | ||||
\(831\) | 27.4427 | + | 36.0639i | 0.951976 | + | 1.25104i | ||||
\(832\) | 30.3899 | + | 11.0837i | 1.05358 | + | 0.384258i | ||||
\(833\) | 8.69283 | + | 5.01881i | 0.301189 | + | 0.173891i | ||||
\(834\) | −14.4889 | + | 15.2306i | −0.501709 | + | 0.527391i | ||||
\(835\) | 1.57824 | − | 5.89009i | 0.0546174 | − | 0.203835i | ||||
\(836\) | 23.9080 | + | 4.94208i | 0.826875 | + | 0.170925i | ||||
\(837\) | −5.93245 | − | 7.92785i | −0.205055 | − | 0.274027i | ||||
\(838\) | −42.5093 | − | 4.34764i | −1.46846 | − | 0.150187i | ||||
\(839\) | 25.1098 | − | 14.4971i | 0.866885 | − | 0.500496i | 0.000573152 | − | 1.00000i | \(-0.499818\pi\) |
0.866312 | + | 0.499504i | \(0.166484\pi\) | |||||||
\(840\) | −18.8009 | − | 27.1010i | −0.648692 | − | 0.935073i | ||||
\(841\) | 1.11330 | + | 0.642762i | 0.0383895 | + | 0.0221642i | ||||
\(842\) | 37.0837 | + | 26.7846i | 1.27799 | + | 0.923060i | ||||
\(843\) | 44.0891 | + | 5.98520i | 1.51851 | + | 0.206141i | ||||
\(844\) | 23.6558 | + | 11.8869i | 0.814268 | + | 0.409165i | ||||
\(845\) | 6.83466 | + | 6.83466i | 0.235119 | + | 0.235119i | ||||
\(846\) | −0.311475 | − | 0.709600i | −0.0107087 | − | 0.0243965i | ||||
\(847\) | − | 51.0860i | − | 1.75534i | ||||||
\(848\) | −29.3676 | − | 23.2419i | −1.00849 | − | 0.798129i | ||||
\(849\) | −51.8700 | − | 21.7304i | −1.78018 | − | 0.745787i | ||||
\(850\) | 29.9678 | − | 4.83247i | 1.02789 | − | 0.165752i | ||||
\(851\) | −0.00865646 | − | 0.0323063i | −0.000296740 | − | 0.00110745i | ||||
\(852\) | −0.664463 | − | 3.55396i | −0.0227641 | − | 0.121757i | ||||
\(853\) | −7.28025 | + | 27.1702i | −0.249271 | + | 0.930292i | 0.721918 | + | 0.691979i | \(0.243261\pi\) |
−0.971189 | + | 0.238313i | \(0.923406\pi\) | |||||||
\(854\) | −21.7439 | − | 2.22385i | −0.744059 | − | 0.0760987i | ||||
\(855\) | 17.7566 | + | 4.91150i | 0.607262 | + | 0.167970i | ||||
\(856\) | −45.4540 | − | 14.3480i | −1.55359 | − | 0.490406i | ||||
\(857\) | −28.3745 | − | 49.1461i | −0.969256 | − | 1.67880i | −0.697719 | − | 0.716372i | \(-0.745802\pi\) |
−0.271537 | − | 0.962428i | \(-0.587532\pi\) | |||||||
\(858\) | 29.6209 | + | 48.4705i | 1.01124 | + | 1.65475i | ||||
\(859\) | 1.68263 | + | 6.27967i | 0.0574106 | + | 0.214259i | 0.988672 | − | 0.150093i | \(-0.0479572\pi\) |
−0.931261 | + | 0.364352i | \(0.881291\pi\) | |||||||
\(860\) | −15.1067 | + | 16.9677i | −0.515133 | + | 0.578595i | ||||
\(861\) | −0.0768489 | + | 0.0993205i | −0.00261900 | + | 0.00338483i | ||||
\(862\) | 15.2111 | − | 39.9603i | 0.518094 | − | 1.36105i | ||||
\(863\) | −12.7093 | −0.432629 | −0.216314 | − | 0.976324i | \(-0.569404\pi\) | ||||
−0.216314 | + | 0.976324i | \(0.569404\pi\) | |||||||
\(864\) | 23.3539 | + | 17.8492i | 0.794516 | + | 0.607243i | ||||
\(865\) | −6.48942 | −0.220647 | ||||||||
\(866\) | −17.3836 | + | 45.6675i | −0.590719 | + | 1.55185i | ||||
\(867\) | −26.1439 | + | 33.7887i | −0.887894 | + | 1.14753i | ||||
\(868\) | 5.91362 | − | 6.64214i | 0.200721 | − | 0.225449i | ||||
\(869\) | 12.5108 | + | 46.6910i | 0.424400 | + | 1.58388i | ||||
\(870\) | 19.4018 | + | 31.7483i | 0.657781 | + | 1.07637i | ||||
\(871\) | −1.69178 | − | 2.93026i | −0.0573239 | − | 0.0992880i | ||||
\(872\) | −0.624680 | + | 1.97896i | −0.0211543 | + | 0.0670160i | ||||
\(873\) | 14.1053 | − | 13.8798i | 0.477391 | − | 0.469761i | ||||
\(874\) | −0.144593 | − | 0.0147882i | −0.00489092 | − | 0.000500219i | ||||
\(875\) | 2.91836 | − | 10.8915i | 0.0986587 | − | 0.368199i | ||||
\(876\) | −3.02179 | − | 16.1624i | −0.102097 | − | 0.546078i | ||||
\(877\) | −9.47357 | − | 35.3558i | −0.319900 | − | 1.19388i | −0.919341 | − | 0.393463i | \(-0.871277\pi\) |
0.599441 | − | 0.800419i | \(-0.295390\pi\) | |||||||
\(878\) | −4.62823 | + | 0.746326i | −0.156195 | + | 0.0251873i | ||||
\(879\) | −36.4818 | − | 15.2837i | −1.23050 | − | 0.515506i | ||||
\(880\) | −7.65564 | − | 65.7486i | −0.258072 | − | 2.21638i | ||||
\(881\) | 39.6546i | 1.33600i | 0.744163 | + | 0.667998i | \(0.232849\pi\) | ||||
−0.744163 | + | 0.667998i | \(0.767151\pi\) | |||||||
\(882\) | 3.90590 | − | 5.31701i | 0.131518 | − | 0.179033i | ||||
\(883\) | 16.6423 | + | 16.6423i | 0.560060 | + | 0.560060i | 0.929324 | − | 0.369265i | \(-0.120390\pi\) |
−0.369265 | + | 0.929324i | \(0.620390\pi\) | |||||||
\(884\) | 46.6431 | + | 23.4379i | 1.56878 | + | 0.788302i | ||||
\(885\) | −21.3079 | − | 2.89259i | −0.716256 | − | 0.0972334i | ||||
\(886\) | 18.3673 | + | 13.2662i | 0.617061 | + | 0.445688i | ||||
\(887\) | 0.0199051 | + | 0.0114922i | 0.000668349 | + | 0.000385871i | 0.500334 | − | 0.865832i | \(-0.333211\pi\) |
−0.499666 | + | 0.866218i | \(0.666544\pi\) | |||||||
\(888\) | 2.78798 | − | 1.93412i | 0.0935585 | − | 0.0649047i | ||||
\(889\) | 24.4162 | − | 14.0967i | 0.818894 | − | 0.472789i | ||||
\(890\) | −11.5769 | − | 1.18403i | −0.388059 | − | 0.0396888i | ||||
\(891\) | 12.5545 | + | 50.0671i | 0.420593 | + | 1.67731i | ||||
\(892\) | 31.9379 | + | 6.60196i | 1.06936 | + | 0.221050i | ||||
\(893\) | −0.100619 | + | 0.375517i | −0.00336710 | + | 0.0125662i | ||||
\(894\) | 1.70818 | − | 1.79562i | 0.0571300 | − | 0.0600545i | ||||
\(895\) | 15.3098 | + | 8.83910i | 0.511749 | + | 0.295458i | ||||
\(896\) | −11.5221 | + | 23.7528i | −0.384928 | + | 0.793525i | ||||
\(897\) | −0.204795 | − | 0.269132i | −0.00683791 | − | 0.00898605i | ||||
\(898\) | −14.7383 | − | 5.61024i | −0.491825 | − | 0.187216i | ||||
\(899\) | −7.09363 | + | 7.09363i | −0.236586 | + | 0.236586i | ||||
\(900\) | −0.995220 | − | 19.9267i | −0.0331740 | − | 0.664224i | ||||
\(901\) | −42.7353 | − | 42.7353i | −1.42372 | − | 1.42372i | ||||
\(902\) | −0.229941 | + | 0.103148i | −0.00765618 | + | 0.00343446i | ||||
\(903\) | 14.6754 | + | 6.14810i | 0.488366 | + | 0.204596i | ||||
\(904\) | −31.3236 | − | 1.37795i | −1.04181 | − | 0.0458300i | ||||
\(905\) | −28.4629 | + | 49.2992i | −0.946140 | + | 1.63876i | ||||
\(906\) | 19.4321 | − | 35.6848i | 0.645588 | − | 1.18555i | ||||
\(907\) | −38.1323 | − | 10.2175i | −1.26616 | − | 0.339267i | −0.437602 | − | 0.899169i | \(-0.644172\pi\) |
−0.828559 | + | 0.559902i | \(0.810839\pi\) | |||||||
\(908\) | 25.3023 | + | 38.4886i | 0.839685 | + | 1.27729i | ||||
\(909\) | −0.200838 | + | 24.9311i | −0.00666139 | + | 0.826911i | ||||
\(910\) | −29.8528 | + | 24.3130i | −0.989609 | + | 0.805966i | ||||
\(911\) | −22.7704 | − | 39.4395i | −0.754417 | − | 1.30669i | −0.945664 | − | 0.325147i | \(-0.894586\pi\) |
0.191246 | − | 0.981542i | \(-0.438747\pi\) | |||||||
\(912\) | −3.54503 | − | 14.3133i | −0.117388 | − | 0.473961i | ||||
\(913\) | 35.5626 | − | 61.5962i | 1.17695 | − | 2.03854i | ||||
\(914\) | 5.36040 | + | 33.2417i | 0.177306 | + | 1.09954i | ||||
\(915\) | −26.1795 | − | 20.2563i | −0.865469 | − | 0.669653i | ||||
\(916\) | −34.9266 | − | 17.5504i | −1.15401 | − | 0.579882i | ||||
\(917\) | 4.47532 | − | 4.47532i | 0.147788 | − | 0.147788i | ||||
\(918\) | 34.1025 | + | 32.9692i | 1.12555 | + | 1.08814i | ||||
\(919\) | −11.2611 | −0.371468 | −0.185734 | − | 0.982600i | \(-0.559466\pi\) | ||||
−0.185734 | + | 0.982600i | \(0.559466\pi\) | |||||||
\(920\) | 0.0851684 | + | 0.384769i | 0.00280792 | + | 0.0126855i | ||||
\(921\) | 25.0571 | − | 3.19621i | 0.825659 | − | 0.105319i | ||||
\(922\) | 13.7662 | + | 9.94297i | 0.453365 | + | 0.327454i | ||||
\(923\) | −4.07647 | + | 1.09229i | −0.134179 | + | 0.0359531i | ||||
\(924\) | −41.8121 | + | 20.0240i | −1.37552 | + | 0.658741i | ||||
\(925\) | −2.22469 | − | 0.596105i | −0.0731475 | − | 0.0195998i | ||||
\(926\) | −14.8457 | + | 12.0908i | −0.487860 | + | 0.397327i | ||||
\(927\) | −19.6390 | − | 5.43219i | −0.645030 | − | 0.178417i | ||||
\(928\) | 14.5277 | − | 25.9963i | 0.476896 | − | 0.853371i | ||||
\(929\) | −16.8724 | + | 9.74127i | −0.553564 | + | 0.319601i | −0.750558 | − | 0.660804i | \(-0.770215\pi\) |
0.196994 | + | 0.980405i | \(0.436882\pi\) | |||||||
\(930\) | 12.9181 | − | 3.80927i | 0.423602 | − | 0.124911i | ||||
\(931\) | −3.19693 | + | 0.856614i | −0.104775 | + | 0.0280744i | ||||
\(932\) | −27.4879 | − | 24.4729i | −0.900395 | − | 0.801638i | ||||
\(933\) | −1.64319 | + | 0.672889i | −0.0537955 | + | 0.0220294i | ||||
\(934\) | 9.49557 | + | 21.1677i | 0.310705 | + | 0.692630i | ||||
\(935\) | − | 106.817i | − | 3.49328i | ||||||
\(936\) | 18.6769 | − | 28.7814i | 0.610473 | − | 0.940749i | ||||
\(937\) | − | 5.47240i | − | 0.178775i | −0.995997 | − | 0.0893877i | \(-0.971509\pi\) | ||
0.995997 | − | 0.0893877i | \(-0.0284910\pi\) | |||||||
\(938\) | 2.51951 | − | 1.13022i | 0.0822650 | − | 0.0369030i | ||||
\(939\) | −2.56499 | + | 18.8947i | −0.0837054 | + | 0.616604i | ||||
\(940\) | 1.05229 | − | 0.0610573i | 0.0343220 | − | 0.00199147i | ||||
\(941\) | 11.9941 | − | 3.21380i | 0.390995 | − | 0.104767i | −0.0579650 | − | 0.998319i | \(-0.518461\pi\) |
0.448960 | + | 0.893552i | \(0.351795\pi\) | |||||||
\(942\) | 37.1080 | − | 39.0075i | 1.20904 | − | 1.27093i | ||||
\(943\) | 0.00129938 | 0.000750197i | 4.23136e−5 | 2.44298e-5i | ||||||
\(944\) | 6.34738 | + | 15.9978i | 0.206590 | + | 0.520683i | ||||
\(945\) | −32.4811 | + | 12.9965i | −1.05661 | + | 0.422778i | ||||
\(946\) | 20.1641 | + | 24.7586i | 0.655593 | + | 0.804972i | ||||
\(947\) | 0.0238937 | + | 0.00640230i | 0.000776441 | + | 0.000208047i | 0.259207 | − | 0.965822i | \(-0.416539\pi\) |
−0.258431 | + | 0.966030i | \(0.583205\pi\) | |||||||
\(948\) | 22.1713 | − | 18.9963i | 0.720089 | − | 0.616973i | ||||
\(949\) | −18.5387 | + | 4.96742i | −0.601790 | + | 0.161249i | ||||
\(950\) | −5.86042 | + | 8.11384i | −0.190137 | + | 0.263248i | ||||
\(951\) | −19.9218 | − | 26.1802i | −0.646008 | − | 0.848952i | ||||
\(952\) | −22.9019 | + | 35.9227i | −0.742256 | + | 1.16426i | ||||
\(953\) | 47.9215 | 1.55233 | 0.776164 | − | 0.630531i | \(-0.217163\pi\) | ||||
0.776164 | + | 0.630531i | \(0.217163\pi\) | |||||||
\(954\) | −31.0021 | + | 24.8363i | −1.00373 | + | 0.804105i | ||||
\(955\) | −15.6349 | + | 15.6349i | −0.505934 | + | 0.505934i | ||||
\(956\) | 47.2105 | − | 15.6324i | 1.52690 | − | 0.505586i | ||||
\(957\) | 48.3951 | − | 19.8179i | 1.56439 | − | 0.640622i | ||||
\(958\) | −5.85197 | + | 0.943660i | −0.189069 | + | 0.0304883i | ||||
\(959\) | −17.5442 | + | 30.3875i | −0.566532 | + | 0.981262i | ||||
\(960\) | −33.8196 | + | 21.3233i | −1.09152 | + | 0.688207i | ||||
\(961\) | −13.6844 | − | 23.7020i | −0.441431 | − | 0.764581i | ||||
\(962\) | −2.50116 | − | 3.07106i | −0.0806408 | − | 0.0990151i | ||||
\(963\) | −25.6299 | + | 43.5779i | −0.825913 | + | 1.40428i | ||||
\(964\) | 0.207470 | − | 1.00367i | 0.00668217 | − | 0.0323259i | ||||
\(965\) | 21.1278 | + | 5.66117i | 0.680127 | + | 0.182240i | ||||
\(966\) | 0.235510 | − | 0.143923i | 0.00757740 | − | 0.00463064i | ||||
\(967\) | 6.27580 | − | 10.8700i | 0.201816 | − | 0.349556i | −0.747297 | − | 0.664490i | \(-0.768649\pi\) |
0.949114 | + | 0.314934i | \(0.101982\pi\) | |||||||
\(968\) | −61.8629 | − | 2.72140i | −1.98835 | − | 0.0874692i | ||||
\(969\) | −3.01090 | − | 23.6044i | −0.0967242 | − | 0.758282i | ||||
\(970\) | 11.0167 | + | 24.5587i | 0.353725 | + | 0.788532i | ||||
\(971\) | −16.0701 | − | 16.0701i | −0.515715 | − | 0.515715i | 0.400557 | − | 0.916272i | \(-0.368817\pi\) |
−0.916272 | + | 0.400557i | \(0.868817\pi\) | |||||||
\(972\) | 23.9990 | − | 19.9009i | 0.769769 | − | 0.638323i | ||||
\(973\) | −14.1601 | + | 14.1601i | −0.453953 | + | 0.453953i | ||||
\(974\) | 13.4407 | − | 35.3094i | 0.430669 | − | 1.13139i | ||||
\(975\) | −23.1015 | + | 2.94675i | −0.739839 | + | 0.0943716i | ||||
\(976\) | −3.85130 | + | 26.2123i | −0.123277 | + | 0.839037i | ||||
\(977\) | 47.1397 | + | 27.2161i | 1.50813 | + | 0.870721i | 0.999955 | + | 0.00946892i | \(0.00301410\pi\) |
0.508178 | + | 0.861252i | \(0.330319\pi\) | |||||||
\(978\) | −0.124540 | + | 0.515954i | −0.00398236 | + | 0.0164984i | ||||
\(979\) | −4.23337 | + | 15.7992i | −0.135299 | + | 0.504943i | ||||
\(980\) | 4.92947 | + | 7.49848i | 0.157466 | + | 0.239530i | ||||
\(981\) | 1.89728 | + | 1.11587i | 0.0605754 | + | 0.0356269i | ||||
\(982\) | 0.378745 | − | 3.70320i | 0.0120862 | − | 0.118174i | ||||
\(983\) | 16.9623 | − | 9.79319i | 0.541014 | − | 0.312354i | −0.204476 | − | 0.978872i | \(-0.565549\pi\) |
0.745490 | + | 0.666517i | \(0.232216\pi\) | |||||||
\(984\) | 0.116179 | + | 0.0983514i | 0.00370364 | + | 0.00313533i | ||||
\(985\) | 44.5262 | + | 25.7072i | 1.41872 | + | 0.819101i | ||||
\(986\) | 28.1383 | − | 38.9579i | 0.896106 | − | 1.24067i | ||||
\(987\) | −0.279762 | − | 0.683175i | −0.00890491 | − | 0.0217457i | ||||
\(988\) | −16.3397 | + | 5.41040i | −0.519835 | + | 0.172128i | ||||
\(989\) | −0.134423 | − | 0.134423i | −0.00427439 | − | 0.00427439i | ||||
\(990\) | −69.7839 | − | 7.70566i | −2.21788 | − | 0.244902i | ||||
\(991\) | − | 29.8539i | − | 0.948341i | −0.880433 | − | 0.474171i | \(-0.842748\pi\) | ||
0.880433 | − | 0.474171i | \(-0.157252\pi\) | |||||||
\(992\) | −7.72831 | − | 7.51496i | −0.245374 | − | 0.238600i | ||||
\(993\) | −26.3260 | + | 20.0327i | −0.835429 | + | 0.635717i | ||||
\(994\) | −0.548320 | − | 3.40033i | −0.0173917 | − | 0.107852i | ||||
\(995\) | −17.2578 | − | 64.4071i | −0.547110 | − | 2.04184i | ||||
\(996\) | −42.8326 | − | 3.30333i | −1.35720 | − | 0.104670i | ||||
\(997\) | −7.41898 | + | 27.6880i | −0.234961 | + | 0.876888i | 0.743205 | + | 0.669064i | \(0.233305\pi\) |
−0.978166 | + | 0.207824i | \(0.933362\pi\) | |||||||
\(998\) | −1.37058 | + | 13.4009i | −0.0433849 | + | 0.424199i | ||||
\(999\) | −1.33700 | − | 3.34145i | −0.0423009 | − | 0.105719i |
(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.59.10 | yes | 88 | |
3.2 | odd | 2 | 432.2.v.a.395.13 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.527.7 | 88 | |||
9.2 | odd | 6 | inner | 144.2.u.a.11.2 | ✓ | 88 | |
9.7 | even | 3 | 432.2.v.a.251.21 | 88 | |||
12.11 | even | 2 | 1728.2.z.a.719.19 | 88 | |||
16.3 | odd | 4 | inner | 144.2.u.a.131.2 | yes | 88 | |
16.13 | even | 4 | 576.2.y.a.239.18 | 88 | |||
36.7 | odd | 6 | 1728.2.z.a.143.19 | 88 | |||
36.11 | even | 6 | 576.2.y.a.335.18 | 88 | |||
48.29 | odd | 4 | 1728.2.z.a.1583.19 | 88 | |||
48.35 | even | 4 | 432.2.v.a.179.21 | 88 | |||
144.29 | odd | 12 | 576.2.y.a.47.7 | 88 | |||
144.61 | even | 12 | 1728.2.z.a.1007.19 | 88 | |||
144.83 | even | 12 | inner | 144.2.u.a.83.10 | yes | 88 | |
144.115 | odd | 12 | 432.2.v.a.35.13 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.2 | ✓ | 88 | 9.2 | odd | 6 | inner | |
144.2.u.a.59.10 | yes | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.83.10 | yes | 88 | 144.83 | even | 12 | inner | |
144.2.u.a.131.2 | yes | 88 | 16.3 | odd | 4 | inner | |
432.2.v.a.35.13 | 88 | 144.115 | odd | 12 | |||
432.2.v.a.179.21 | 88 | 48.35 | even | 4 | |||
432.2.v.a.251.21 | 88 | 9.7 | even | 3 | |||
432.2.v.a.395.13 | 88 | 3.2 | odd | 2 | |||
576.2.y.a.47.7 | 88 | 144.29 | odd | 12 | |||
576.2.y.a.239.18 | 88 | 16.13 | even | 4 | |||
576.2.y.a.335.18 | 88 | 36.11 | even | 6 | |||
576.2.y.a.527.7 | 88 | 4.3 | odd | 2 | |||
1728.2.z.a.143.19 | 88 | 36.7 | odd | 6 | |||
1728.2.z.a.719.19 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.1007.19 | 88 | 144.61 | even | 12 | |||
1728.2.z.a.1583.19 | 88 | 48.29 | odd | 4 |