Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(3,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([21, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.x (of order \(60\), degree \(16\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 33.17 | ||
Character | \(\chi\) | \(=\) | 175.33 |
Dual form | 175.2.x.a.122.17 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{3}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.02586 | − | 1.31561i | 1.43250 | − | 0.930278i | 0.432918 | − | 0.901433i | \(-0.357484\pi\) |
0.999584 | − | 0.0288449i | \(-0.00918288\pi\) | |||||||
\(3\) | 0.521123 | − | 0.200040i | 0.300870 | − | 0.115493i | −0.203250 | − | 0.979127i | \(-0.565150\pi\) |
0.504120 | + | 0.863634i | \(0.331817\pi\) | |||||||
\(4\) | 1.55982 | − | 3.50341i | 0.779909 | − | 1.75171i | ||||
\(5\) | −0.881187 | + | 2.05512i | −0.394079 | + | 0.919077i | ||||
\(6\) | 0.792548 | − | 1.09085i | 0.323557 | − | 0.445337i | ||||
\(7\) | −1.40926 | − | 2.23919i | −0.532650 | − | 0.846335i | ||||
\(8\) | −0.693391 | − | 4.37790i | −0.245151 | − | 1.54782i | ||||
\(9\) | −1.99788 | + | 1.79890i | −0.665961 | + | 0.599634i | ||||
\(10\) | 0.918572 | + | 5.32269i | 0.290478 | + | 1.68318i | ||||
\(11\) | 0.978266 | − | 1.08647i | 0.294958 | − | 0.327584i | −0.577391 | − | 0.816468i | \(-0.695929\pi\) |
0.872349 | + | 0.488884i | \(0.162596\pi\) | |||||||
\(12\) | 0.112034 | − | 2.13773i | 0.0323414 | − | 0.617110i | ||||
\(13\) | 2.47105 | + | 4.84971i | 0.685346 | + | 1.34507i | 0.927131 | + | 0.374737i | \(0.122267\pi\) |
−0.241785 | + | 0.970330i | \(0.577733\pi\) | |||||||
\(14\) | −5.80088 | − | 2.68226i | −1.55035 | − | 0.716865i | ||||
\(15\) | −0.0481002 | + | 1.24724i | −0.0124194 | + | 0.322036i | ||||
\(16\) | −2.03215 | − | 2.25693i | −0.508037 | − | 0.564233i | ||||
\(17\) | 0.438656 | − | 0.355216i | 0.106390 | − | 0.0861526i | −0.574650 | − | 0.818400i | \(-0.694862\pi\) |
0.681039 | + | 0.732247i | \(0.261528\pi\) | |||||||
\(18\) | −1.68078 | + | 6.27277i | −0.396164 | + | 1.47851i | ||||
\(19\) | −1.75134 | + | 0.779745i | −0.401784 | + | 0.178886i | −0.597672 | − | 0.801740i | \(-0.703908\pi\) |
0.195888 | + | 0.980626i | \(0.437241\pi\) | |||||||
\(20\) | 5.82543 | + | 6.29277i | 1.30261 | + | 1.40711i | ||||
\(21\) | −1.18233 | − | 0.884985i | −0.258005 | − | 0.193120i | ||||
\(22\) | 0.552456 | − | 3.48807i | 0.117784 | − | 0.743658i | ||||
\(23\) | −4.99472 | − | 7.69119i | −1.04147 | − | 1.60372i | −0.766469 | − | 0.642281i | \(-0.777988\pi\) |
−0.275002 | − | 0.961444i | \(-0.588679\pi\) | |||||||
\(24\) | −1.23710 | − | 2.14271i | −0.252521 | − | 0.437380i | ||||
\(25\) | −3.44702 | − | 3.62189i | −0.689404 | − | 0.724377i | ||||
\(26\) | 11.3863 | + | 6.57391i | 2.23305 | + | 1.28925i | ||||
\(27\) | −1.44154 | + | 2.82918i | −0.277424 | + | 0.544476i | ||||
\(28\) | −10.0430 | + | 1.44448i | −1.89795 | + | 0.272981i | ||||
\(29\) | 2.15609 | + | 2.96760i | 0.400376 | + | 0.551070i | 0.960838 | − | 0.277110i | \(-0.0893765\pi\) |
−0.560462 | + | 0.828180i | \(0.689377\pi\) | |||||||
\(30\) | 1.54344 | + | 2.59002i | 0.281792 | + | 0.472871i | ||||
\(31\) | −4.12730 | − | 0.433796i | −0.741284 | − | 0.0779121i | −0.273644 | − | 0.961831i | \(-0.588229\pi\) |
−0.467640 | + | 0.883919i | \(0.654896\pi\) | |||||||
\(32\) | 1.47677 | + | 0.395699i | 0.261058 | + | 0.0699503i | ||||
\(33\) | 0.292458 | − | 0.761879i | 0.0509104 | − | 0.132626i | ||||
\(34\) | 0.421330 | − | 1.29672i | 0.0722575 | − | 0.222386i | ||||
\(35\) | 5.84363 | − | 0.923048i | 0.987753 | − | 0.156024i | ||||
\(36\) | 3.18595 | + | 9.80536i | 0.530992 | + | 1.63423i | ||||
\(37\) | 7.09078 | + | 0.371612i | 1.16572 | + | 0.0610926i | 0.625355 | − | 0.780340i | \(-0.284954\pi\) |
0.540361 | + | 0.841433i | \(0.318288\pi\) | |||||||
\(38\) | −2.52213 | + | 3.88373i | −0.409143 | + | 0.630025i | ||||
\(39\) | 2.25786 | + | 2.03298i | 0.361546 | + | 0.325538i | ||||
\(40\) | 9.60810 | + | 2.43275i | 1.51917 | + | 0.384651i | ||||
\(41\) | −4.45269 | − | 1.44677i | −0.695393 | − | 0.225947i | −0.0600711 | − | 0.998194i | \(-0.519133\pi\) |
−0.635322 | + | 0.772247i | \(0.719133\pi\) | |||||||
\(42\) | −3.55953 | − | 0.237378i | −0.549247 | − | 0.0366283i | ||||
\(43\) | 0.695019 | + | 0.695019i | 0.105989 | + | 0.105989i | 0.758113 | − | 0.652123i | \(-0.226122\pi\) |
−0.652123 | + | 0.758113i | \(0.726122\pi\) | |||||||
\(44\) | −2.28045 | − | 5.12197i | −0.343790 | − | 0.772166i | ||||
\(45\) | −1.93645 | − | 5.69105i | −0.288668 | − | 0.848372i | ||||
\(46\) | −20.2373 | − | 9.01020i | −2.98382 | − | 1.32848i | ||||
\(47\) | 7.44765 | − | 9.19709i | 1.08635 | − | 1.34153i | 0.150712 | − | 0.988578i | \(-0.451844\pi\) |
0.935640 | − | 0.352955i | \(-0.114823\pi\) | |||||||
\(48\) | −1.51048 | − | 0.769626i | −0.218018 | − | 0.111086i | ||||
\(49\) | −3.02797 | + | 6.31121i | −0.432567 | + | 0.901602i | ||||
\(50\) | −11.7482 | − | 2.80251i | −1.66144 | − | 0.396335i | ||||
\(51\) | 0.157536 | − | 0.272860i | 0.0220594 | − | 0.0382081i | ||||
\(52\) | 20.8449 | − | 1.09244i | 2.89067 | − | 0.151493i | ||||
\(53\) | −0.856522 | − | 2.23132i | −0.117652 | − | 0.306495i | 0.862091 | − | 0.506754i | \(-0.169155\pi\) |
−0.979743 | + | 0.200259i | \(0.935822\pi\) | |||||||
\(54\) | 0.801739 | + | 7.62804i | 0.109103 | + | 1.03804i | ||||
\(55\) | 1.37080 | + | 2.96784i | 0.184838 | + | 0.400183i | ||||
\(56\) | −8.82579 | + | 7.72223i | −1.17940 | + | 1.03193i | ||||
\(57\) | −0.756680 | + | 0.756680i | −0.100225 | + | 0.100225i | ||||
\(58\) | 8.27216 | + | 3.17539i | 1.08619 | + | 0.416949i | ||||
\(59\) | −0.998770 | + | 0.212295i | −0.130029 | + | 0.0276385i | −0.272466 | − | 0.962165i | \(-0.587839\pi\) |
0.142438 | + | 0.989804i | \(0.454506\pi\) | |||||||
\(60\) | 4.29457 | + | 2.11399i | 0.554427 | + | 0.272914i | ||||
\(61\) | 2.23362 | − | 10.5084i | 0.285986 | − | 1.34546i | −0.567083 | − | 0.823661i | \(-0.691928\pi\) |
0.853069 | − | 0.521798i | \(-0.174739\pi\) | |||||||
\(62\) | −8.93205 | + | 4.55111i | −1.13437 | + | 0.577991i | ||||
\(63\) | 6.84362 | + | 1.93852i | 0.862215 | + | 0.244231i | ||||
\(64\) | 9.28903 | − | 3.01819i | 1.16113 | − | 0.377274i | ||||
\(65\) | −12.1442 | + | 0.804798i | −1.50630 | + | 0.0998229i | ||||
\(66\) | −0.409857 | − | 1.92822i | −0.0504499 | − | 0.237348i | ||||
\(67\) | 3.37190 | + | 4.16395i | 0.411943 | + | 0.508707i | 0.940315 | − | 0.340306i | \(-0.110531\pi\) |
−0.528372 | + | 0.849013i | \(0.677197\pi\) | |||||||
\(68\) | −0.560245 | − | 2.09086i | −0.0679397 | − | 0.253555i | ||||
\(69\) | −4.14141 | − | 3.00891i | −0.498567 | − | 0.362230i | ||||
\(70\) | 10.6240 | − | 9.55791i | 1.26981 | − | 1.14239i | ||||
\(71\) | −3.85505 | + | 2.80086i | −0.457510 | + | 0.332401i | −0.792554 | − | 0.609802i | \(-0.791249\pi\) |
0.335044 | + | 0.942203i | \(0.391249\pi\) | |||||||
\(72\) | 9.26072 | + | 7.49918i | 1.09139 | + | 0.883787i | ||||
\(73\) | 0.320455 | + | 6.11465i | 0.0375065 | + | 0.715666i | 0.951071 | + | 0.308972i | \(0.0999851\pi\) |
−0.913565 | + | 0.406694i | \(0.866682\pi\) | |||||||
\(74\) | 14.8538 | − | 8.57587i | 1.72672 | − | 0.996925i | ||||
\(75\) | −2.52084 | − | 1.19790i | −0.291082 | − | 0.138322i | ||||
\(76\) | 7.35191i | 0.843322i | ||||||||
\(77\) | −3.81146 | − | 0.659401i | −0.434356 | − | 0.0751457i | ||||
\(78\) | 7.24872 | + | 1.14809i | 0.820756 | + | 0.129995i | ||||
\(79\) | −1.01693 | + | 0.106883i | −0.114413 | + | 0.0120253i | −0.161562 | − | 0.986863i | \(-0.551653\pi\) |
0.0471487 | + | 0.998888i | \(0.484987\pi\) | |||||||
\(80\) | 6.42896 | − | 2.18753i | 0.718780 | − | 0.244573i | ||||
\(81\) | 0.657779 | − | 6.25835i | 0.0730866 | − | 0.695372i | ||||
\(82\) | −10.9239 | + | 2.92706i | −1.20635 | + | 0.323239i | ||||
\(83\) | −9.51656 | + | 1.50728i | −1.04458 | + | 0.165445i | −0.655063 | − | 0.755575i | \(-0.727358\pi\) |
−0.389516 | + | 0.921020i | \(0.627358\pi\) | |||||||
\(84\) | −4.94468 | + | 2.76176i | −0.539509 | + | 0.301332i | ||||
\(85\) | 0.343474 | + | 1.21450i | 0.0372550 | + | 0.131731i | ||||
\(86\) | 2.32239 | + | 0.493639i | 0.250430 | + | 0.0532305i | ||||
\(87\) | 1.71723 | + | 1.11518i | 0.184106 | + | 0.119560i | ||||
\(88\) | −5.43479 | − | 3.52940i | −0.579351 | − | 0.376235i | ||||
\(89\) | −8.87752 | − | 1.88698i | −0.941015 | − | 0.200019i | −0.288229 | − | 0.957561i | \(-0.593067\pi\) |
−0.652786 | + | 0.757542i | \(0.726400\pi\) | |||||||
\(90\) | −11.4102 | − | 8.98169i | −1.20274 | − | 0.946753i | ||||
\(91\) | 7.37708 | − | 12.3677i | 0.773328 | − | 1.29648i | ||||
\(92\) | −34.7363 | + | 5.50168i | −3.62151 | + | 0.573590i | ||||
\(93\) | −2.23760 | + | 0.599564i | −0.232029 | + | 0.0621719i | ||||
\(94\) | 2.98814 | − | 28.4303i | 0.308203 | − | 2.93236i | ||||
\(95\) | −0.0592133 | − | 4.28630i | −0.00607516 | − | 0.439765i | ||||
\(96\) | 0.848733 | − | 0.0892054i | 0.0866234 | − | 0.00910449i | ||||
\(97\) | 7.91145 | + | 1.25305i | 0.803287 | + | 0.127228i | 0.544559 | − | 0.838722i | \(-0.316697\pi\) |
0.258727 | + | 0.965950i | \(0.416697\pi\) | |||||||
\(98\) | 2.16884 | + | 16.7693i | 0.219086 | + | 1.69395i | ||||
\(99\) | 3.93045i | 0.395025i | ||||||||
\(100\) | −18.0657 | + | 6.42684i | −1.80657 | + | 0.642684i | ||||
\(101\) | −12.9778 | + | 7.49271i | −1.29133 | + | 0.745552i | −0.978891 | − | 0.204384i | \(-0.934481\pi\) |
−0.312444 | + | 0.949936i | \(0.601148\pi\) | |||||||
\(102\) | −0.0398317 | − | 0.760034i | −0.00394392 | − | 0.0752545i | ||||
\(103\) | 4.16872 | + | 3.37576i | 0.410756 | + | 0.332624i | 0.812325 | − | 0.583205i | \(-0.198202\pi\) |
−0.401569 | + | 0.915829i | \(0.631535\pi\) | |||||||
\(104\) | 19.5181 | − | 14.1807i | 1.91391 | − | 1.39054i | ||||
\(105\) | 2.86060 | − | 1.64998i | 0.279166 | − | 0.161022i | ||||
\(106\) | −4.67074 | − | 3.39349i | −0.453663 | − | 0.329605i | ||||
\(107\) | 1.05646 | + | 3.94277i | 0.102132 | + | 0.381162i | 0.998004 | − | 0.0631501i | \(-0.0201147\pi\) |
−0.895872 | + | 0.444312i | \(0.853448\pi\) | |||||||
\(108\) | 7.66323 | + | 9.46331i | 0.737395 | + | 0.910607i | ||||
\(109\) | −0.938419 | − | 4.41491i | −0.0898842 | − | 0.422872i | −0.999964 | − | 0.00843971i | \(-0.997314\pi\) |
0.910080 | − | 0.414432i | \(-0.136020\pi\) | |||||||
\(110\) | 6.68157 | + | 4.20900i | 0.637063 | + | 0.401313i | ||||
\(111\) | 3.76950 | − | 1.22478i | 0.357785 | − | 0.116251i | ||||
\(112\) | −2.18988 | + | 7.73098i | −0.206924 | + | 0.730509i | ||||
\(113\) | 17.1604 | − | 8.74366i | 1.61431 | − | 0.822534i | 0.614889 | − | 0.788613i | \(-0.289201\pi\) |
0.999425 | − | 0.0339207i | \(-0.0107994\pi\) | |||||||
\(114\) | −0.537434 | + | 2.52843i | −0.0503353 | + | 0.236809i | ||||
\(115\) | 20.2076 | − | 3.48736i | 1.88437 | − | 0.325198i | ||||
\(116\) | 13.7598 | − | 2.92475i | 1.27757 | − | 0.271556i | ||||
\(117\) | −13.6610 | − | 5.24397i | −1.26296 | − | 0.484805i | ||||
\(118\) | −1.74407 | + | 1.74407i | −0.160555 | + | 0.160555i | ||||
\(119\) | −1.41358 | − | 0.481643i | −0.129583 | − | 0.0441521i | ||||
\(120\) | 5.49365 | − | 0.654248i | 0.501499 | − | 0.0597244i | ||||
\(121\) | 0.926391 | + | 8.81402i | 0.0842173 | + | 0.801275i | ||||
\(122\) | −9.29992 | − | 24.2271i | −0.841975 | − | 2.19342i | ||||
\(123\) | −2.60981 | + | 0.136774i | −0.235319 | + | 0.0123325i | ||||
\(124\) | −7.95760 | + | 13.7830i | −0.714613 | + | 1.23775i | ||||
\(125\) | 10.4809 | − | 3.89247i | 0.937438 | − | 0.348153i | ||||
\(126\) | 16.4146 | − | 5.07636i | 1.46233 | − | 0.452238i | ||||
\(127\) | 17.6351 | + | 8.98555i | 1.56487 | + | 0.797339i | 0.999619 | − | 0.0275839i | \(-0.00878134\pi\) |
0.565246 | + | 0.824923i | \(0.308781\pi\) | |||||||
\(128\) | 12.9233 | − | 15.9589i | 1.14227 | − | 1.41058i | ||||
\(129\) | 0.501222 | + | 0.223158i | 0.0441301 | + | 0.0196480i | ||||
\(130\) | −23.5436 | + | 17.6074i | −2.06491 | + | 1.54427i | ||||
\(131\) | −3.14638 | − | 7.06688i | −0.274900 | − | 0.617436i | 0.722351 | − | 0.691526i | \(-0.243061\pi\) |
−0.997252 | + | 0.0740903i | \(0.976395\pi\) | |||||||
\(132\) | −2.21299 | − | 2.21299i | −0.192616 | − | 0.192616i | ||||
\(133\) | 4.21409 | + | 2.82272i | 0.365408 | + | 0.244760i | ||||
\(134\) | 12.3091 | + | 3.99948i | 1.06335 | + | 0.345503i | ||||
\(135\) | −4.54403 | − | 5.45557i | −0.391088 | − | 0.469540i | ||||
\(136\) | −1.85926 | − | 1.67409i | −0.159430 | − | 0.143552i | ||||
\(137\) | −7.77152 | + | 11.9671i | −0.663965 | + | 1.02242i | 0.332874 | + | 0.942971i | \(0.391982\pi\) |
−0.996839 | + | 0.0794456i | \(0.974685\pi\) | |||||||
\(138\) | −12.3485 | − | 0.647157i | −1.05117 | − | 0.0550897i | ||||
\(139\) | 4.16998 | + | 12.8339i | 0.353693 | + | 1.08856i | 0.956763 | + | 0.290868i | \(0.0939440\pi\) |
−0.603070 | + | 0.797688i | \(0.706056\pi\) | |||||||
\(140\) | 5.88118 | − | 21.9124i | 0.497051 | − | 1.85194i | ||||
\(141\) | 2.04135 | − | 6.28264i | 0.171913 | − | 0.529094i | ||||
\(142\) | −4.12497 | + | 10.7459i | −0.346160 | + | 0.901776i | ||||
\(143\) | 7.68642 | + | 2.05957i | 0.642771 | + | 0.172230i | ||||
\(144\) | 8.11999 | + | 0.853445i | 0.676666 | + | 0.0711204i | ||||
\(145\) | −7.99870 | + | 1.81601i | −0.664256 | + | 0.150811i | ||||
\(146\) | 8.69371 | + | 11.9659i | 0.719497 | + | 0.990302i | ||||
\(147\) | −0.315448 | + | 3.89463i | −0.0260177 | + | 0.321224i | ||||
\(148\) | 12.3622 | − | 24.2622i | 1.01617 | − | 1.99434i | ||||
\(149\) | 4.67073 | + | 2.69664i | 0.382641 | + | 0.220918i | 0.678967 | − | 0.734169i | \(-0.262428\pi\) |
−0.296326 | + | 0.955087i | \(0.595761\pi\) | |||||||
\(150\) | −6.68286 | + | 0.889658i | −0.545653 | + | 0.0726402i | ||||
\(151\) | −7.31423 | − | 12.6686i | −0.595224 | − | 1.03096i | −0.993515 | − | 0.113699i | \(-0.963730\pi\) |
0.398291 | − | 0.917259i | \(-0.369603\pi\) | |||||||
\(152\) | 4.62800 | + | 7.12650i | 0.375381 | + | 0.578035i | ||||
\(153\) | −0.237383 | + | 1.49878i | −0.0191913 | + | 0.121169i | ||||
\(154\) | −8.58901 | + | 3.67854i | −0.692122 | + | 0.296425i | ||||
\(155\) | 4.52842 | − | 8.09982i | 0.363732 | − | 0.650593i | ||||
\(156\) | 10.6442 | − | 4.73911i | 0.852219 | − | 0.379433i | ||||
\(157\) | −0.00608749 | + | 0.0227188i | −0.000485835 | + | 0.00181316i | −0.966168 | − | 0.257912i | \(-0.916965\pi\) |
0.965682 | + | 0.259726i | \(0.0836321\pi\) | |||||||
\(158\) | −1.91954 | + | 1.55441i | −0.152710 | + | 0.123663i | ||||
\(159\) | −0.892706 | − | 0.991450i | −0.0707962 | − | 0.0786271i | ||||
\(160\) | −2.11452 | + | 2.68625i | −0.167167 | + | 0.212366i | ||||
\(161\) | −10.1832 | + | 22.0230i | −0.802549 | + | 1.73566i | ||||
\(162\) | −6.90099 | − | 13.5439i | −0.542193 | − | 1.06411i | ||||
\(163\) | −0.958940 | + | 18.2977i | −0.0751100 | + | 1.43318i | 0.657972 | + | 0.753043i | \(0.271415\pi\) |
−0.733081 | + | 0.680141i | \(0.761919\pi\) | |||||||
\(164\) | −12.0140 | + | 13.3429i | −0.938136 | + | 1.04191i | ||||
\(165\) | 1.30804 | + | 1.27239i | 0.101831 | + | 0.0990557i | ||||
\(166\) | −17.2963 | + | 15.5736i | −1.34245 | + | 1.20875i | ||||
\(167\) | −0.600636 | − | 3.79227i | −0.0464786 | − | 0.293454i | 0.953490 | − | 0.301426i | \(-0.0974626\pi\) |
−0.999968 | + | 0.00797150i | \(0.997463\pi\) | |||||||
\(168\) | −3.05456 | + | 5.78974i | −0.235664 | + | 0.446688i | ||||
\(169\) | −9.77236 | + | 13.4505i | −0.751720 | + | 1.03465i | ||||
\(170\) | 2.29364 | + | 2.00854i | 0.175914 | + | 0.154048i | ||||
\(171\) | 2.09628 | − | 4.70832i | 0.160306 | − | 0.360054i | ||||
\(172\) | 3.51904 | − | 1.35083i | 0.268324 | − | 0.103000i | ||||
\(173\) | 2.09895 | − | 1.36308i | 0.159580 | − | 0.103633i | −0.462378 | − | 0.886683i | \(-0.653004\pi\) |
0.621959 | + | 0.783050i | \(0.286337\pi\) | |||||||
\(174\) | 4.94602 | 0.374956 | ||||||||
\(175\) | −3.25236 | + | 12.8227i | −0.245855 | + | 0.969307i | ||||
\(176\) | −4.44008 | −0.334684 | ||||||||
\(177\) | −0.478014 | + | 0.310426i | −0.0359297 | + | 0.0233330i | ||||
\(178\) | −20.4672 | + | 7.85661i | −1.53408 | + | 0.588878i | ||||
\(179\) | −2.96994 | + | 6.67059i | −0.221984 | + | 0.498584i | −0.989866 | − | 0.142008i | \(-0.954644\pi\) |
0.767882 | + | 0.640592i | \(0.221311\pi\) | |||||||
\(180\) | −22.9586 | − | 2.09284i | −1.71123 | − | 0.155991i | ||||
\(181\) | −1.79536 | + | 2.47110i | −0.133448 | + | 0.183676i | −0.870512 | − | 0.492148i | \(-0.836212\pi\) |
0.737063 | + | 0.675824i | \(0.236212\pi\) | |||||||
\(182\) | −1.32607 | − | 34.7606i | −0.0982948 | − | 2.57662i | ||||
\(183\) | −0.938105 | − | 5.92296i | −0.0693467 | − | 0.437838i | ||||
\(184\) | −30.2080 | + | 27.1994i | −2.22696 | + | 2.00516i | ||||
\(185\) | −7.01201 | + | 14.2449i | −0.515533 | + | 1.04731i | ||||
\(186\) | −3.74429 | + | 4.15845i | −0.274544 | + | 0.304913i | ||||
\(187\) | 0.0431884 | − | 0.824084i | 0.00315825 | − | 0.0602630i | ||||
\(188\) | −20.6042 | − | 40.4380i | −1.50271 | − | 2.94924i | ||||
\(189\) | 8.36658 | − | 0.759166i | 0.608579 | − | 0.0552212i | ||||
\(190\) | −5.75907 | − | 8.60556i | −0.417807 | − | 0.624313i | ||||
\(191\) | 2.59474 | + | 2.88175i | 0.187749 | + | 0.208516i | 0.829670 | − | 0.558255i | \(-0.188529\pi\) |
−0.641921 | + | 0.766771i | \(0.721862\pi\) | |||||||
\(192\) | 4.23697 | − | 3.43103i | 0.305777 | − | 0.247613i | ||||
\(193\) | 4.41197 | − | 16.4657i | 0.317581 | − | 1.18523i | −0.603982 | − | 0.796998i | \(-0.706420\pi\) |
0.921563 | − | 0.388229i | \(-0.126913\pi\) | |||||||
\(194\) | 17.6761 | − | 7.86989i | 1.26907 | − | 0.565025i | ||||
\(195\) | −6.16761 | + | 2.84872i | −0.441672 | + | 0.204001i | ||||
\(196\) | 17.3877 | + | 20.4526i | 1.24198 | + | 1.46090i | ||||
\(197\) | −0.906287 | + | 5.72207i | −0.0645702 | + | 0.407681i | 0.934140 | + | 0.356907i | \(0.116169\pi\) |
−0.998710 | + | 0.0507736i | \(0.983831\pi\) | |||||||
\(198\) | 5.17095 | + | 7.96256i | 0.367483 | + | 0.565874i | ||||
\(199\) | −0.307833 | − | 0.533183i | −0.0218217 | − | 0.0377963i | 0.854908 | − | 0.518779i | \(-0.173613\pi\) |
−0.876730 | + | 0.480983i | \(0.840280\pi\) | |||||||
\(200\) | −13.4661 | + | 17.6021i | −0.952198 | + | 1.24465i | ||||
\(201\) | 2.59013 | + | 1.49541i | 0.182694 | + | 0.105478i | ||||
\(202\) | −16.4337 | + | 32.2529i | −1.15627 | + | 2.26931i | ||||
\(203\) | 3.60655 | − | 9.01003i | 0.253130 | − | 0.632380i | ||||
\(204\) | −0.710214 | − | 0.977525i | −0.0497249 | − | 0.0684404i | ||||
\(205\) | 6.89693 | − | 7.87593i | 0.481702 | − | 0.550079i | ||||
\(206\) | 12.8864 | + | 1.35442i | 0.897841 | + | 0.0943669i | ||||
\(207\) | 23.8146 | + | 6.38109i | 1.65523 | + | 0.443517i | ||||
\(208\) | 5.92391 | − | 15.4323i | 0.410749 | − | 1.07004i | ||||
\(209\) | −0.866099 | + | 2.66558i | −0.0599093 | + | 0.184382i | ||||
\(210\) | 3.62445 | − | 7.10608i | 0.250111 | − | 0.490366i | ||||
\(211\) | 5.11584 | + | 15.7449i | 0.352189 | + | 1.08393i | 0.957621 | + | 0.288030i | \(0.0930003\pi\) |
−0.605432 | + | 0.795897i | \(0.707000\pi\) | |||||||
\(212\) | −9.15324 | − | 0.479701i | −0.628647 | − | 0.0329460i | ||||
\(213\) | −1.44867 | + | 2.23076i | −0.0992612 | + | 0.152849i | ||||
\(214\) | 7.32741 | + | 6.59763i | 0.500891 | + | 0.451005i | ||||
\(215\) | −2.04079 | + | 0.815904i | −0.139181 | + | 0.0556442i | ||||
\(216\) | 13.3854 | + | 4.34918i | 0.910761 | + | 0.295924i | ||||
\(217\) | 4.84508 | + | 9.85314i | 0.328905 | + | 0.668875i | ||||
\(218\) | −7.70942 | − | 7.70942i | −0.522148 | − | 0.522148i | ||||
\(219\) | 1.39017 | + | 3.12238i | 0.0939392 | + | 0.210991i | ||||
\(220\) | 12.5358 | − | 0.173176i | 0.845160 | − | 0.0116755i | ||||
\(221\) | 2.80664 | + | 1.24959i | 0.188795 | + | 0.0840568i | ||||
\(222\) | 6.02515 | − | 7.44045i | 0.404382 | − | 0.499370i | ||||
\(223\) | −13.7864 | − | 7.02455i | −0.923209 | − | 0.470398i | −0.0732891 | − | 0.997311i | \(-0.523350\pi\) |
−0.849920 | + | 0.526912i | \(0.823350\pi\) | |||||||
\(224\) | −1.19510 | − | 3.86441i | −0.0798513 | − | 0.258202i | ||||
\(225\) | 13.4022 | + | 1.03526i | 0.893477 | + | 0.0690171i | ||||
\(226\) | 23.2614 | − | 40.2899i | 1.54732 | − | 2.68004i | ||||
\(227\) | 17.7580 | − | 0.930656i | 1.17864 | − | 0.0617698i | 0.547068 | − | 0.837088i | \(-0.315744\pi\) |
0.631571 | + | 0.775318i | \(0.282411\pi\) | |||||||
\(228\) | 1.47068 | + | 3.83125i | 0.0973980 | + | 0.253730i | ||||
\(229\) | 0.633164 | + | 6.02415i | 0.0418407 | + | 0.398087i | 0.995320 | + | 0.0966301i | \(0.0308064\pi\) |
−0.953480 | + | 0.301457i | \(0.902527\pi\) | |||||||
\(230\) | 36.3498 | − | 33.6503i | 2.39684 | − | 2.21883i | ||||
\(231\) | −2.11814 | + | 0.418816i | −0.139364 | + | 0.0275561i | ||||
\(232\) | 11.4969 | − | 11.4969i | 0.754805 | − | 0.754805i | ||||
\(233\) | −18.6911 | − | 7.17485i | −1.22450 | − | 0.470040i | −0.341706 | − | 0.939807i | \(-0.611005\pi\) |
−0.882791 | + | 0.469767i | \(0.844338\pi\) | |||||||
\(234\) | −34.5744 | + | 7.34901i | −2.26020 | + | 0.480420i | ||||
\(235\) | 12.3383 | + | 23.4102i | 0.804863 | + | 1.52711i | ||||
\(236\) | −0.814143 | + | 3.83024i | −0.0529962 | + | 0.249328i | ||||
\(237\) | −0.508563 | + | 0.259126i | −0.0330347 | + | 0.0168320i | ||||
\(238\) | −3.49737 | + | 0.883978i | −0.226701 | + | 0.0572998i | ||||
\(239\) | −3.16618 | + | 1.02875i | −0.204803 | + | 0.0665446i | −0.409622 | − | 0.912255i | \(-0.634339\pi\) |
0.204819 | + | 0.978800i | \(0.434339\pi\) | |||||||
\(240\) | 2.91268 | − | 2.42602i | 0.188013 | − | 0.156599i | ||||
\(241\) | 1.26574 | + | 5.95483i | 0.0815334 | + | 0.383584i | 0.999927 | − | 0.0120836i | \(-0.00384643\pi\) |
−0.918394 | + | 0.395668i | \(0.870513\pi\) | |||||||
\(242\) | 13.4726 | + | 16.6372i | 0.866050 | + | 1.06948i | ||||
\(243\) | −3.37459 | − | 12.5941i | −0.216480 | − | 0.807915i | ||||
\(244\) | −33.3311 | − | 24.2165i | −2.13380 | − | 1.55030i | ||||
\(245\) | −10.3021 | − | 11.7842i | −0.658175 | − | 0.752865i | ||||
\(246\) | −5.10718 | + | 3.71058i | −0.325622 | + | 0.236578i | ||||
\(247\) | −8.10917 | − | 6.56668i | −0.515974 | − | 0.417828i | ||||
\(248\) | 0.962713 | + | 18.3697i | 0.0611324 | + | 1.16647i | ||||
\(249\) | −4.65778 | + | 2.68917i | −0.295175 | + | 0.170419i | ||||
\(250\) | 16.1118 | − | 21.6744i | 1.01900 | − | 1.37081i | ||||
\(251\) | − | 6.66670i | − | 0.420798i | −0.977616 | − | 0.210399i | \(-0.932524\pi\) | ||
0.977616 | − | 0.210399i | \(-0.0674763\pi\) | |||||||
\(252\) | 17.4663 | − | 20.9523i | 1.10027 | − | 1.31987i | ||||
\(253\) | −13.2424 | − | 2.09740i | −0.832546 | − | 0.131862i | ||||
\(254\) | 47.5479 | − | 4.99748i | 2.98342 | − | 0.313570i | ||||
\(255\) | 0.421941 | + | 0.564196i | 0.0264230 | + | 0.0353313i | ||||
\(256\) | 3.14319 | − | 29.9055i | 0.196449 | − | 1.86909i | ||||
\(257\) | −24.1227 | + | 6.46367i | −1.50474 | + | 0.403193i | −0.914683 | − | 0.404172i | \(-0.867560\pi\) |
−0.590052 | + | 0.807365i | \(0.700893\pi\) | |||||||
\(258\) | 1.30900 | − | 0.207325i | 0.0814946 | − | 0.0129075i | ||||
\(259\) | −9.16064 | − | 16.4013i | −0.569214 | − | 1.01913i | ||||
\(260\) | −16.1232 | + | 43.8014i | −0.999917 | + | 2.71645i | ||||
\(261\) | −9.64604 | − | 2.05033i | −0.597075 | − | 0.126912i | ||||
\(262\) | −15.6714 | − | 10.1771i | −0.968182 | − | 0.628745i | ||||
\(263\) | −6.42656 | − | 4.17346i | −0.396279 | − | 0.257346i | 0.331082 | − | 0.943602i | \(-0.392586\pi\) |
−0.727360 | + | 0.686256i | \(0.759253\pi\) | |||||||
\(264\) | −3.53821 | − | 0.752071i | −0.217762 | − | 0.0462867i | ||||
\(265\) | 5.34037 | + | 0.205953i | 0.328057 | + | 0.0126516i | ||||
\(266\) | 12.2508 | + | 0.174336i | 0.751143 | + | 0.0106892i | ||||
\(267\) | −5.00375 | + | 0.792516i | −0.306224 | + | 0.0485012i | ||||
\(268\) | 19.8476 | − | 5.31814i | 1.21238 | − | 0.324857i | ||||
\(269\) | −0.591560 | + | 5.62832i | −0.0360680 | + | 0.343164i | 0.961575 | + | 0.274543i | \(0.0885266\pi\) |
−0.997643 | + | 0.0686212i | \(0.978140\pi\) | |||||||
\(270\) | −16.3830 | − | 5.07406i | −0.997037 | − | 0.308797i | ||||
\(271\) | 16.7343 | − | 1.75885i | 1.01654 | − | 0.106842i | 0.418422 | − | 0.908253i | \(-0.362583\pi\) |
0.598115 | + | 0.801410i | \(0.295917\pi\) | |||||||
\(272\) | −1.69311 | − | 0.268163i | −0.102660 | − | 0.0162598i | ||||
\(273\) | 1.37033 | − | 7.92078i | 0.0829364 | − | 0.479387i | ||||
\(274\) | 34.4680i | 2.08229i | ||||||||
\(275\) | −7.30719 | + | 0.201930i | −0.440640 | + | 0.0121768i | ||||
\(276\) | −17.0013 | + | 9.81570i | −1.02336 | + | 0.590836i | ||||
\(277\) | −1.67489 | − | 31.9587i | −0.100634 | − | 1.92021i | −0.325010 | − | 0.945710i | \(-0.605368\pi\) |
0.224376 | − | 0.974503i | \(-0.427966\pi\) | |||||||
\(278\) | 25.3322 | + | 20.5136i | 1.51933 | + | 1.23033i | ||||
\(279\) | 9.02620 | − | 6.55792i | 0.540385 | − | 0.392612i | ||||
\(280\) | −8.09293 | − | 24.9428i | −0.483645 | − | 1.49062i | ||||
\(281\) | 11.1737 | + | 8.11818i | 0.666568 | + | 0.484290i | 0.868875 | − | 0.495032i | \(-0.164844\pi\) |
−0.202307 | + | 0.979322i | \(0.564844\pi\) | |||||||
\(282\) | −4.13001 | − | 15.4134i | −0.245938 | − | 0.917855i | ||||
\(283\) | −8.74436 | − | 10.7984i | −0.519798 | − | 0.641898i | 0.447877 | − | 0.894095i | \(-0.352180\pi\) |
−0.967676 | + | 0.252197i | \(0.918847\pi\) | |||||||
\(284\) | 3.79937 | + | 17.8747i | 0.225451 | + | 1.06067i | ||||
\(285\) | −0.888290 | − | 2.22184i | −0.0526178 | − | 0.131611i | ||||
\(286\) | 18.2812 | − | 5.93994i | 1.08099 | − | 0.351236i | ||||
\(287\) | 3.03541 | + | 12.0093i | 0.179175 | + | 0.708887i | ||||
\(288\) | −3.66223 | + | 1.86600i | −0.215799 | + | 0.109955i | ||||
\(289\) | −3.46826 | + | 16.3169i | −0.204015 | + | 0.959816i | ||||
\(290\) | −13.8151 | + | 14.2022i | −0.811252 | + | 0.833980i | ||||
\(291\) | 4.37350 | − | 0.929616i | 0.256379 | − | 0.0544950i | ||||
\(292\) | 21.9220 | + | 8.41507i | 1.28289 | + | 0.492454i | ||||
\(293\) | 12.3432 | − | 12.3432i | 0.721098 | − | 0.721098i | −0.247731 | − | 0.968829i | \(-0.579685\pi\) |
0.968829 | + | 0.247731i | \(0.0796849\pi\) | |||||||
\(294\) | 4.48477 | + | 8.30500i | 0.261557 | + | 0.484357i | ||||
\(295\) | 0.443812 | − | 2.23966i | 0.0258397 | − | 0.130398i | ||||
\(296\) | −3.28980 | − | 31.3004i | −0.191216 | − | 1.81930i | ||||
\(297\) | 1.66362 | + | 4.33388i | 0.0965331 | + | 0.251477i | ||||
\(298\) | 13.0100 | − | 0.681825i | 0.753649 | − | 0.0394971i | ||||
\(299\) | 24.9578 | − | 43.2282i | 1.44335 | − | 2.49995i | ||||
\(300\) | −8.12881 | + | 6.96303i | −0.469317 | + | 0.402011i | ||||
\(301\) | 0.576819 | − | 2.53574i | 0.0332473 | − | 0.146158i | ||||
\(302\) | −31.4846 | − | 16.0422i | −1.81174 | − | 0.923126i | ||||
\(303\) | −5.26416 | + | 6.50069i | −0.302418 | + | 0.373455i | ||||
\(304\) | 5.31881 | + | 2.36808i | 0.305054 | + | 0.135819i | ||||
\(305\) | 19.6277 | + | 13.8502i | 1.12388 | + | 0.793060i | ||||
\(306\) | 1.49090 | + | 3.34863i | 0.0852293 | + | 0.191428i | ||||
\(307\) | −6.36188 | − | 6.36188i | −0.363092 | − | 0.363092i | 0.501858 | − | 0.864950i | \(-0.332650\pi\) |
−0.864950 | + | 0.501858i | \(0.832650\pi\) | |||||||
\(308\) | −8.25534 | + | 12.3246i | −0.470391 | + | 0.702256i | ||||
\(309\) | 2.84770 | + | 0.925274i | 0.162000 | + | 0.0526370i | ||||
\(310\) | −1.48225 | − | 22.3668i | −0.0841864 | − | 1.27035i | ||||
\(311\) | −16.3375 | − | 14.7104i | −0.926417 | − | 0.834150i | 0.0600353 | − | 0.998196i | \(-0.480879\pi\) |
−0.986453 | + | 0.164046i | \(0.947545\pi\) | |||||||
\(312\) | 7.33461 | − | 11.2943i | 0.415241 | − | 0.639414i | ||||
\(313\) | 31.2581 | + | 1.63817i | 1.76681 | + | 0.0925948i | 0.907812 | − | 0.419377i | \(-0.137751\pi\) |
0.859002 | + | 0.511972i | \(0.171085\pi\) | |||||||
\(314\) | 0.0175567 | + | 0.0540341i | 0.000990784 | + | 0.00304932i | ||||
\(315\) | −10.0144 | + | 12.3562i | −0.564248 | + | 0.696196i | ||||
\(316\) | −1.21177 | + | 3.72943i | −0.0681672 | + | 0.209797i | ||||
\(317\) | 10.2233 | − | 26.6327i | 0.574199 | − | 1.49584i | −0.271639 | − | 0.962399i | \(-0.587566\pi\) |
0.845838 | − | 0.533440i | \(-0.179101\pi\) | |||||||
\(318\) | −3.11287 | − | 0.834090i | −0.174561 | − | 0.0467734i | ||||
\(319\) | 5.33346 | + | 0.560569i | 0.298616 | + | 0.0313858i | ||||
\(320\) | −1.98264 | + | 21.7496i | −0.110833 | + | 1.21584i | ||||
\(321\) | 1.33926 | + | 1.84333i | 0.0747502 | + | 0.102885i | ||||
\(322\) | 8.34396 | + | 58.0128i | 0.464991 | + | 3.23293i | ||||
\(323\) | −0.491255 | + | 0.964143i | −0.0273342 | + | 0.0536463i | ||||
\(324\) | −20.8995 | − | 12.0664i | −1.16109 | − | 0.670353i | ||||
\(325\) | 9.04733 | − | 25.6669i | 0.501856 | − | 1.42374i | ||||
\(326\) | 22.1299 | + | 38.3302i | 1.22566 | + | 2.12291i | ||||
\(327\) | −1.37219 | − | 2.11299i | −0.0758823 | − | 0.116849i | ||||
\(328\) | −3.24634 | + | 20.4966i | −0.179249 | + | 1.13174i | ||||
\(329\) | −31.0897 | − | 3.71565i | −1.71403 | − | 0.204850i | ||||
\(330\) | 4.32389 | + | 0.856822i | 0.238022 | + | 0.0471665i | ||||
\(331\) | −10.2837 | + | 4.57859i | −0.565242 | + | 0.251662i | −0.669404 | − | 0.742898i | \(-0.733451\pi\) |
0.104162 | + | 0.994560i | \(0.466784\pi\) | |||||||
\(332\) | −9.56351 | + | 35.6915i | −0.524866 | + | 1.95883i | ||||
\(333\) | −14.8350 | + | 12.0132i | −0.812954 | + | 0.658317i | ||||
\(334\) | −6.20596 | − | 6.89241i | −0.339575 | − | 0.377136i | ||||
\(335\) | −11.5287 | + | 3.26043i | −0.629879 | + | 0.178136i | ||||
\(336\) | 0.405312 | + | 4.46685i | 0.0221116 | + | 0.243687i | ||||
\(337\) | −11.8722 | − | 23.3005i | −0.646721 | − | 1.26926i | −0.948770 | − | 0.315968i | \(-0.897671\pi\) |
0.302049 | − | 0.953292i | \(-0.402329\pi\) | |||||||
\(338\) | −2.10184 | + | 40.1055i | −0.114325 | + | 2.18145i | ||||
\(339\) | 7.19358 | − | 7.98929i | 0.390702 | − | 0.433918i | ||||
\(340\) | 4.79065 | + | 0.691072i | 0.259810 | + | 0.0374787i | ||||
\(341\) | −4.50890 | + | 4.05983i | −0.244171 | + | 0.219852i | ||||
\(342\) | −1.94754 | − | 12.2963i | −0.105311 | − | 0.664908i | ||||
\(343\) | 18.3992 | − | 2.11393i | 0.993465 | − | 0.114141i | ||||
\(344\) | 2.56080 | − | 3.52464i | 0.138069 | − | 0.190036i | ||||
\(345\) | 9.83302 | − | 5.85967i | 0.529392 | − | 0.315474i | ||||
\(346\) | 2.45892 | − | 5.52282i | 0.132192 | − | 0.296908i | ||||
\(347\) | −20.0316 | + | 7.68940i | −1.07535 | + | 0.412788i | −0.830641 | − | 0.556808i | \(-0.812026\pi\) |
−0.244709 | + | 0.969596i | \(0.578693\pi\) | |||||||
\(348\) | 6.58550 | − | 4.27667i | 0.353020 | − | 0.229254i | ||||
\(349\) | 6.75314 | 0.361487 | 0.180744 | − | 0.983530i | \(-0.442150\pi\) | ||||
0.180744 | + | 0.983530i | \(0.442150\pi\) | |||||||
\(350\) | 10.2809 | + | 30.2559i | 0.549537 | + | 1.61725i | ||||
\(351\) | −17.2828 | −0.922487 | ||||||||
\(352\) | 1.87459 | − | 1.21737i | 0.0999159 | − | 0.0648861i | ||||
\(353\) | −6.20426 | + | 2.38159i | −0.330220 | + | 0.126759i | −0.517829 | − | 0.855484i | \(-0.673260\pi\) |
0.187609 | + | 0.982244i | \(0.439926\pi\) | |||||||
\(354\) | −0.559991 | + | 1.25776i | −0.0297632 | + | 0.0668493i | ||||
\(355\) | −2.35907 | − | 10.3907i | −0.125207 | − | 0.551479i | ||||
\(356\) | −20.4582 | + | 28.1583i | −1.08428 | + | 1.49238i | ||||
\(357\) | −0.832995 | + | 0.0317777i | −0.0440868 | + | 0.00168185i | ||||
\(358\) | 2.75922 | + | 17.4210i | 0.145829 | + | 0.920729i | ||||
\(359\) | 8.02172 | − | 7.22279i | 0.423370 | − | 0.381204i | −0.429725 | − | 0.902960i | \(-0.641389\pi\) |
0.853095 | + | 0.521756i | \(0.174723\pi\) | |||||||
\(360\) | −23.5721 | + | 12.4237i | −1.24236 | + | 0.654786i | ||||
\(361\) | −10.2543 | + | 11.3886i | −0.539700 | + | 0.599398i | ||||
\(362\) | −0.386147 | + | 7.36812i | −0.0202954 | + | 0.387260i | ||||
\(363\) | 2.24592 | + | 4.40787i | 0.117880 | + | 0.231353i | ||||
\(364\) | −31.8221 | − | 45.1362i | −1.66793 | − | 2.36578i | ||||
\(365\) | −12.8487 | − | 4.72958i | −0.672533 | − | 0.247558i | ||||
\(366\) | −9.69280 | − | 10.7649i | −0.506651 | − | 0.562692i | ||||
\(367\) | −21.3667 | + | 17.3024i | −1.11533 | + | 0.903179i | −0.995971 | − | 0.0896723i | \(-0.971418\pi\) |
−0.119361 | + | 0.992851i | \(0.538085\pi\) | |||||||
\(368\) | −7.20847 | + | 26.9024i | −0.375768 | + | 1.40238i | ||||
\(369\) | 11.4985 | − | 5.11948i | 0.598590 | − | 0.266509i | ||||
\(370\) | 4.53541 | + | 38.0834i | 0.235785 | + | 1.97986i | ||||
\(371\) | −3.78929 | + | 5.06242i | −0.196730 | + | 0.262828i | ||||
\(372\) | −1.38974 | + | 8.77445i | −0.0720545 | + | 0.454934i | ||||
\(373\) | −3.20630 | − | 4.93727i | −0.166016 | − | 0.255642i | 0.745865 | − | 0.666097i | \(-0.232037\pi\) |
−0.911881 | + | 0.410455i | \(0.865370\pi\) | |||||||
\(374\) | −0.996681 | − | 1.72630i | −0.0515372 | − | 0.0892650i | ||||
\(375\) | 4.68317 | − | 4.12505i | 0.241838 | − | 0.213017i | ||||
\(376\) | −45.4280 | − | 26.2279i | −2.34277 | − | 1.35260i | ||||
\(377\) | −9.06421 | + | 17.7895i | −0.466830 | + | 0.916206i | ||||
\(378\) | 15.9508 | − | 12.5451i | 0.820420 | − | 0.645252i | ||||
\(379\) | −8.74037 | − | 12.0301i | −0.448962 | − | 0.617944i | 0.523212 | − | 0.852203i | \(-0.324734\pi\) |
−0.972174 | + | 0.234259i | \(0.924734\pi\) | |||||||
\(380\) | −15.1090 | − | 6.47841i | −0.775077 | − | 0.332335i | ||||
\(381\) | 10.9875 | + | 1.15484i | 0.562909 | + | 0.0591641i | ||||
\(382\) | 9.04786 | + | 2.42437i | 0.462929 | + | 0.124041i | ||||
\(383\) | −6.00799 | + | 15.6513i | −0.306994 | + | 0.799746i | 0.690111 | + | 0.723704i | \(0.257562\pi\) |
−0.997105 | + | 0.0760425i | \(0.975772\pi\) | |||||||
\(384\) | 3.54218 | − | 10.9017i | 0.180761 | − | 0.556326i | ||||
\(385\) | 4.71375 | − | 7.25194i | 0.240235 | − | 0.369593i | ||||
\(386\) | −12.7244 | − | 39.1617i | −0.647655 | − | 1.99328i | ||||
\(387\) | −2.63884 | − | 0.138296i | −0.134140 | − | 0.00702996i | ||||
\(388\) | 16.7304 | − | 25.7625i | 0.849357 | − | 1.30789i | ||||
\(389\) | −8.12538 | − | 7.31613i | −0.411973 | − | 0.370942i | 0.436926 | − | 0.899498i | \(-0.356067\pi\) |
−0.848899 | + | 0.528555i | \(0.822734\pi\) | |||||||
\(390\) | −8.74693 | + | 13.8853i | −0.442918 | + | 0.703110i | ||||
\(391\) | −4.92300 | − | 1.59958i | −0.248967 | − | 0.0808943i | ||||
\(392\) | 29.7294 | + | 8.88001i | 1.50156 | + | 0.448508i | ||||
\(393\) | −3.05331 | − | 3.05331i | −0.154019 | − | 0.154019i | ||||
\(394\) | 5.69201 | + | 12.7845i | 0.286759 | + | 0.644072i | ||||
\(395\) | 0.676446 | − | 2.18409i | 0.0340357 | − | 0.109894i | ||||
\(396\) | 13.7700 | + | 6.13079i | 0.691968 | + | 0.308084i | ||||
\(397\) | −12.2047 | + | 15.0715i | −0.612535 | + | 0.756417i | −0.985174 | − | 0.171559i | \(-0.945120\pi\) |
0.372639 | + | 0.927976i | \(0.378453\pi\) | |||||||
\(398\) | −1.32509 | − | 0.675167i | −0.0664208 | − | 0.0338431i | ||||
\(399\) | 2.76071 | + | 0.627994i | 0.138208 | + | 0.0314390i | ||||
\(400\) | −1.16949 | + | 15.1399i | −0.0584744 | + | 0.756995i | ||||
\(401\) | −5.04071 | + | 8.73077i | −0.251721 | + | 0.435994i | −0.964000 | − | 0.265903i | \(-0.914330\pi\) |
0.712279 | + | 0.701897i | \(0.247663\pi\) | |||||||
\(402\) | 7.21463 | − | 0.378103i | 0.359833 | − | 0.0188580i | ||||
\(403\) | −8.09496 | − | 21.0881i | −0.403239 | − | 1.05047i | ||||
\(404\) | 6.00709 | + | 57.1537i | 0.298864 | + | 2.84350i | ||||
\(405\) | 12.2820 | + | 6.86659i | 0.610298 | + | 0.341204i | ||||
\(406\) | −4.54733 | − | 22.9979i | −0.225680 | − | 1.14137i | ||||
\(407\) | 7.34041 | − | 7.34041i | 0.363851 | − | 0.363851i | ||||
\(408\) | −1.30379 | − | 0.500477i | −0.0645471 | − | 0.0247773i | ||||
\(409\) | 20.0184 | − | 4.25503i | 0.989844 | − | 0.210398i | 0.315589 | − | 0.948896i | \(-0.397798\pi\) |
0.674255 | + | 0.738498i | \(0.264465\pi\) | |||||||
\(410\) | 3.61058 | − | 25.0292i | 0.178314 | − | 1.23611i | ||||
\(411\) | −1.65601 | + | 7.79093i | −0.0816851 | + | 0.384298i | ||||
\(412\) | 18.3291 | − | 9.33915i | 0.903011 | − | 0.460107i | ||||
\(413\) | 1.88290 | + | 1.93726i | 0.0926513 | + | 0.0953263i | ||||
\(414\) | 56.6401 | − | 18.4035i | 2.78371 | − | 0.904482i | ||||
\(415\) | 5.28824 | − | 20.8859i | 0.259590 | − | 1.02525i | ||||
\(416\) | 1.73014 | + | 8.13968i | 0.0848272 | + | 0.399081i | ||||
\(417\) | 4.74037 | + | 5.85387i | 0.232137 | + | 0.286665i | ||||
\(418\) | 1.75227 | + | 6.53955i | 0.0857062 | + | 0.319860i | ||||
\(419\) | −29.7740 | − | 21.6321i | −1.45455 | − | 1.05680i | −0.984740 | − | 0.174031i | \(-0.944321\pi\) |
−0.469814 | − | 0.882765i | \(-0.655679\pi\) | |||||||
\(420\) | −1.31855 | − | 12.5955i | −0.0643384 | − | 0.614599i | ||||
\(421\) | 6.67173 | − | 4.84730i | 0.325160 | − | 0.236243i | −0.413214 | − | 0.910634i | \(-0.635594\pi\) |
0.738374 | + | 0.674391i | \(0.235594\pi\) | |||||||
\(422\) | 31.0782 | + | 25.1667i | 1.51287 | + | 1.22509i | ||||
\(423\) | 1.66511 | + | 31.7723i | 0.0809606 | + | 1.54482i | ||||
\(424\) | −9.17457 | + | 5.29694i | −0.445556 | + | 0.257242i | ||||
\(425\) | −2.79861 | − | 0.364324i | −0.135752 | − | 0.0176723i | ||||
\(426\) | 6.42509i | 0.311297i | ||||||||
\(427\) | −26.6780 | + | 9.80752i | −1.29104 | + | 0.474619i | ||||
\(428\) | 15.4610 | + | 2.44879i | 0.747338 | + | 0.118367i | ||||
\(429\) | 4.41757 | − | 0.464305i | 0.213282 | − | 0.0224169i | ||||
\(430\) | −3.06095 | + | 4.33779i | −0.147612 | + | 0.209187i | ||||
\(431\) | −0.748342 | + | 7.12000i | −0.0360464 | + | 0.342958i | 0.961604 | + | 0.274442i | \(0.0884931\pi\) |
−0.997650 | + | 0.0685162i | \(0.978174\pi\) | |||||||
\(432\) | 9.31468 | − | 2.49586i | 0.448153 | − | 0.120082i | ||||
\(433\) | 21.2321 | − | 3.36284i | 1.02035 | − | 0.161608i | 0.376225 | − | 0.926528i | \(-0.377222\pi\) |
0.644125 | + | 0.764921i | \(0.277222\pi\) | |||||||
\(434\) | 22.7784 | + | 13.5869i | 1.09340 | + | 0.652191i | ||||
\(435\) | −3.80503 | + | 2.54642i | −0.182437 | + | 0.122092i | ||||
\(436\) | −16.9310 | − | 3.59880i | −0.810849 | − | 0.172351i | ||||
\(437\) | 14.7446 | + | 9.57526i | 0.705330 | + | 0.458047i | ||||
\(438\) | 6.92414 | + | 4.49659i | 0.330848 | + | 0.214855i | ||||
\(439\) | 5.32699 | + | 1.13229i | 0.254243 | + | 0.0540411i | 0.333270 | − | 0.942831i | \(-0.391848\pi\) |
−0.0790267 | + | 0.996872i | \(0.525181\pi\) | |||||||
\(440\) | 12.0424 | − | 8.05908i | 0.574099 | − | 0.384202i | ||||
\(441\) | −5.30371 | − | 18.0561i | −0.252558 | − | 0.859813i | ||||
\(442\) | 7.32984 | − | 1.16093i | 0.348645 | − | 0.0552200i | ||||
\(443\) | −21.6564 | + | 5.80282i | −1.02893 | + | 0.275700i | −0.733517 | − | 0.679671i | \(-0.762123\pi\) |
−0.295409 | + | 0.955371i | \(0.595456\pi\) | |||||||
\(444\) | 1.58881 | − | 15.1165i | 0.0754017 | − | 0.717400i | ||||
\(445\) | 11.7007 | − | 16.5816i | 0.554667 | − | 0.786042i | ||||
\(446\) | −37.1710 | + | 3.90683i | −1.76010 | + | 0.184994i | ||||
\(447\) | 2.97346 | + | 0.470949i | 0.140640 | + | 0.0222751i | ||||
\(448\) | −19.8490 | − | 16.5465i | −0.937776 | − | 0.781750i | ||||
\(449\) | − | 11.7184i | − | 0.553024i | −0.961010 | − | 0.276512i | \(-0.910821\pi\) | ||
0.961010 | − | 0.276512i | \(-0.0891785\pi\) | |||||||
\(450\) | 28.5129 | − | 15.5347i | 1.34411 | − | 0.732315i | ||||
\(451\) | −5.92779 | + | 3.42241i | −0.279129 | + | 0.161155i | ||||
\(452\) | −3.86552 | − | 73.7584i | −0.181819 | − | 3.46930i | ||||
\(453\) | −6.34585 | − | 5.13877i | −0.298154 | − | 0.241440i | ||||
\(454\) | 34.7509 | − | 25.2480i | 1.63094 | − | 1.18495i | ||||
\(455\) | 18.9164 | + | 26.0590i | 0.886815 | + | 1.22166i | ||||
\(456\) | 3.83734 | + | 2.78799i | 0.179700 | + | 0.130560i | ||||
\(457\) | −3.30974 | − | 12.3521i | −0.154823 | − | 0.577808i | −0.999120 | − | 0.0419327i | \(-0.986649\pi\) |
0.844297 | − | 0.535875i | \(-0.180018\pi\) | |||||||
\(458\) | 9.20815 | + | 11.3711i | 0.430269 | + | 0.531338i | ||||
\(459\) | 0.372632 | + | 1.75309i | 0.0173930 | + | 0.0818274i | ||||
\(460\) | 19.3025 | − | 76.2351i | 0.899986 | − | 3.55448i | ||||
\(461\) | 14.1552 | − | 4.59931i | 0.659274 | − | 0.214211i | 0.0397753 | − | 0.999209i | \(-0.487336\pi\) |
0.619499 | + | 0.784997i | \(0.287336\pi\) | |||||||
\(462\) | −3.74007 | + | 3.63512i | −0.174004 | + | 0.169121i | ||||
\(463\) | −13.3292 | + | 6.79155i | −0.619459 | + | 0.315630i | −0.735407 | − | 0.677625i | \(-0.763009\pi\) |
0.115949 | + | 0.993255i | \(0.463009\pi\) | |||||||
\(464\) | 2.31618 | − | 10.8968i | 0.107526 | − | 0.505870i | ||||
\(465\) | 0.739572 | − | 5.12687i | 0.0342968 | − | 0.237753i | ||||
\(466\) | −47.3050 | + | 10.0550i | −2.19136 | + | 0.465789i | ||||
\(467\) | 28.0247 | + | 10.7577i | 1.29683 | + | 0.497806i | 0.906241 | − | 0.422761i | \(-0.138939\pi\) |
0.390586 | + | 0.920566i | \(0.372272\pi\) | |||||||
\(468\) | −39.6805 | + | 39.6805i | −1.83423 | + | 1.83423i | ||||
\(469\) | 4.57200 | − | 13.4184i | 0.211115 | − | 0.619605i | ||||
\(470\) | 55.7944 | + | 31.1934i | 2.57361 | + | 1.43884i | ||||
\(471\) | 0.00137235 | + | 0.0130570i | 6.32346e−5 | + | 0.000601637i | ||||
\(472\) | 1.62194 | + | 4.22531i | 0.0746560 | + | 0.194486i | ||||
\(473\) | 1.43503 | − | 0.0752069i | 0.0659829 | − | 0.00345802i | ||||
\(474\) | −0.689371 | + | 1.19403i | −0.0316639 | + | 0.0548434i | ||||
\(475\) | 8.86103 | + | 3.65534i | 0.406572 | + | 0.167719i | ||||
\(476\) | −3.89232 | + | 4.20107i | −0.178404 | + | 0.192556i | ||||
\(477\) | 5.72515 | + | 2.91711i | 0.262136 | + | 0.133565i | ||||
\(478\) | −5.06081 | + | 6.24958i | −0.231476 | + | 0.285849i | ||||
\(479\) | 24.1923 | + | 10.7711i | 1.10537 | + | 0.492144i | 0.876544 | − | 0.481323i | \(-0.159843\pi\) |
0.228830 | + | 0.973466i | \(0.426510\pi\) | |||||||
\(480\) | −0.564565 | + | 1.82285i | −0.0257687 | + | 0.0832014i | ||||
\(481\) | 15.7194 | + | 35.3065i | 0.716745 | + | 1.60984i | ||||
\(482\) | 10.3985 | + | 10.3985i | 0.473637 | + | 0.473637i | ||||
\(483\) | −0.901207 | + | 13.5138i | −0.0410064 | + | 0.614897i | ||||
\(484\) | 32.3241 | + | 10.5027i | 1.46928 | + | 0.477398i | ||||
\(485\) | −9.54664 | + | 15.1548i | −0.433491 | + | 0.688144i | ||||
\(486\) | −23.4055 | − | 21.0744i | −1.06169 | − | 0.955953i | ||||
\(487\) | 0.0326444 | − | 0.0502680i | 0.00147926 | − | 0.00227786i | −0.837930 | − | 0.545777i | \(-0.816234\pi\) |
0.839409 | + | 0.543500i | \(0.182901\pi\) | |||||||
\(488\) | −47.5533 | − | 2.49217i | −2.15264 | − | 0.112815i | ||||
\(489\) | 3.16054 | + | 9.72715i | 0.142925 | + | 0.439877i | ||||
\(490\) | −36.3740 | − | 10.3197i | −1.64321 | − | 0.466194i | ||||
\(491\) | −7.94297 | + | 24.4459i | −0.358461 | + | 1.10323i | 0.595514 | + | 0.803345i | \(0.296948\pi\) |
−0.953975 | + | 0.299885i | \(0.903052\pi\) | |||||||
\(492\) | −3.59165 | + | 9.35657i | −0.161924 | + | 0.421827i | ||||
\(493\) | 1.99992 | + | 0.535878i | 0.0900720 | + | 0.0241347i | ||||
\(494\) | −25.0673 | − | 2.63468i | −1.12783 | − | 0.118540i | ||||
\(495\) | −8.07754 | − | 3.46346i | −0.363058 | − | 0.155671i | ||||
\(496\) | 7.40823 | + | 10.1966i | 0.332639 | + | 0.457839i | ||||
\(497\) | 11.7044 | + | 4.68506i | 0.525015 | + | 0.210154i | ||||
\(498\) | −5.89813 | + | 11.5757i | −0.264301 | + | 0.518721i | ||||
\(499\) | 17.5119 | + | 10.1105i | 0.783941 | + | 0.452608i | 0.837825 | − | 0.545939i | \(-0.183827\pi\) |
−0.0538844 | + | 0.998547i | \(0.517160\pi\) | |||||||
\(500\) | 2.71134 | − | 42.7903i | 0.121255 | − | 1.91364i | ||||
\(501\) | −1.07161 | − | 1.85608i | −0.0478760 | − | 0.0829237i | ||||
\(502\) | −8.77078 | − | 13.5058i | −0.391459 | − | 0.602794i | ||||
\(503\) | 5.66920 | − | 35.7939i | 0.252777 | − | 1.59597i | −0.455630 | − | 0.890169i | \(-0.650586\pi\) |
0.708407 | − | 0.705804i | \(-0.249414\pi\) | |||||||
\(504\) | 3.74135 | − | 31.3048i | 0.166653 | − | 1.39443i | ||||
\(505\) | −3.96257 | − | 33.2733i | −0.176332 | − | 1.48064i | ||||
\(506\) | −29.5868 | + | 13.1729i | −1.31529 | + | 0.585606i | ||||
\(507\) | −2.40196 | + | 8.96423i | −0.106675 | + | 0.398115i | ||||
\(508\) | 58.9877 | − | 47.7673i | 2.61716 | − | 2.11933i | ||||
\(509\) | −17.9877 | − | 19.9773i | −0.797290 | − | 0.885480i | 0.198218 | − | 0.980158i | \(-0.436484\pi\) |
−0.995508 | + | 0.0946781i | \(0.969818\pi\) | |||||||
\(510\) | 1.59706 | + | 0.587873i | 0.0707189 | + | 0.0260315i | ||||
\(511\) | 13.2403 | − | 9.33470i | 0.585716 | − | 0.412943i | ||||
\(512\) | −14.3306 | − | 28.1255i | −0.633331 | − | 1.24298i | ||||
\(513\) | 0.318580 | − | 6.07887i | 0.0140657 | − | 0.268389i | ||||
\(514\) | −40.3657 | + | 44.8307i | −1.78046 | + | 1.97740i | ||||
\(515\) | −10.6110 | + | 5.59253i | −0.467577 | + | 0.246436i | ||||
\(516\) | 1.56363 | − | 1.40790i | 0.0688350 | − | 0.0619793i | ||||
\(517\) | −2.70661 | − | 17.0889i | −0.119037 | − | 0.751568i | ||||
\(518\) | −40.1360 | − | 21.1750i | −1.76347 | − | 0.930376i | ||||
\(519\) | 0.821142 | − | 1.13020i | 0.0360441 | − | 0.0496105i | ||||
\(520\) | 11.9440 | + | 52.6079i | 0.523778 | + | 2.30701i | ||||
\(521\) | 13.9597 | − | 31.3541i | 0.611587 | − | 1.37365i | −0.296568 | − | 0.955012i | \(-0.595842\pi\) |
0.908155 | − | 0.418635i | \(-0.137491\pi\) | |||||||
\(522\) | −22.2390 | + | 8.53676i | −0.973375 | + | 0.373644i | ||||
\(523\) | −28.2292 | + | 18.3323i | −1.23438 | + | 0.801613i | −0.985951 | − | 0.167038i | \(-0.946580\pi\) |
−0.248426 | + | 0.968651i | \(0.579913\pi\) | |||||||
\(524\) | −29.6660 | −1.29596 | ||||||||
\(525\) | 0.870183 | + | 7.33281i | 0.0379779 | + | 0.320030i | ||||
\(526\) | −18.5100 | −0.807074 | ||||||||
\(527\) | −1.96455 | + | 1.27580i | −0.0855773 | + | 0.0555745i | ||||
\(528\) | −2.31383 | + | 0.888194i | −0.100696 | + | 0.0386537i | ||||
\(529\) | −24.8523 | + | 55.8192i | −1.08053 | + | 2.42692i | ||||
\(530\) | 11.0898 | − | 6.60863i | 0.481711 | − | 0.287060i | ||||
\(531\) | 1.61353 | − | 2.22083i | 0.0700211 | − | 0.0963757i | ||||
\(532\) | 16.4623 | − | 10.3608i | 0.713733 | − | 0.449196i | ||||
\(533\) | −3.98642 | − | 25.1693i | −0.172671 | − | 1.09020i | ||||
\(534\) | −9.09427 | + | 8.18852i | −0.393548 | + | 0.354352i | ||||
\(535\) | −9.03381 | − | 1.30316i | −0.390565 | − | 0.0563407i | ||||
\(536\) | 15.8913 | − | 17.6491i | 0.686399 | − | 0.762323i | ||||
\(537\) | −0.213316 | + | 4.07030i | −0.00920525 | + | 0.175647i | ||||
\(538\) | 6.20626 | + | 12.1805i | 0.267571 | + | 0.525137i | ||||
\(539\) | 3.89481 | + | 9.46386i | 0.167761 | + | 0.407637i | ||||
\(540\) | −26.2010 | + | 7.40991i | −1.12751 | + | 0.318872i | ||||
\(541\) | −0.828076 | − | 0.919672i | −0.0356018 | − | 0.0395398i | 0.725081 | − | 0.688664i | \(-0.241802\pi\) |
−0.760683 | + | 0.649124i | \(0.775136\pi\) | |||||||
\(542\) | 31.5875 | − | 25.5790i | 1.35680 | − | 1.09871i | ||||
\(543\) | −0.441284 | + | 1.64689i | −0.0189373 | + | 0.0706749i | ||||
\(544\) | 0.788351 | − | 0.350997i | 0.0338003 | − | 0.0150489i | ||||
\(545\) | 9.90009 | + | 1.96180i | 0.424073 | + | 0.0840344i | ||||
\(546\) | −7.64455 | − | 17.8492i | −0.327157 | − | 0.763877i | ||||
\(547\) | −2.74658 | + | 17.3412i | −0.117435 | + | 0.741456i | 0.856754 | + | 0.515725i | \(0.172477\pi\) |
−0.974190 | + | 0.225732i | \(0.927523\pi\) | |||||||
\(548\) | 29.8035 | + | 45.8933i | 1.27314 | + | 1.96046i | ||||
\(549\) | 14.4410 | + | 25.0126i | 0.616327 | + | 1.06751i | ||||
\(550\) | −14.5377 | + | 10.0225i | −0.619890 | + | 0.427361i | ||||
\(551\) | −6.09001 | − | 3.51607i | −0.259443 | − | 0.149790i | ||||
\(552\) | −10.3011 | + | 20.2170i | −0.438443 | + | 0.860493i | ||||
\(553\) | 1.67245 | + | 2.12647i | 0.0711198 | + | 0.0904268i | ||||
\(554\) | −45.4383 | − | 62.5405i | −1.93049 | − | 2.65709i | ||||
\(555\) | −0.804558 | + | 8.82603i | −0.0341516 | + | 0.374644i | ||||
\(556\) | 51.4668 | + | 5.40938i | 2.18268 | + | 0.229409i | ||||
\(557\) | −7.88056 | − | 2.11159i | −0.333910 | − | 0.0894709i | 0.0879686 | − | 0.996123i | \(-0.471962\pi\) |
−0.421879 | + | 0.906652i | \(0.638629\pi\) | |||||||
\(558\) | 9.65819 | − | 25.1604i | 0.408864 | − | 1.06513i | ||||
\(559\) | −1.65321 | + | 5.08806i | −0.0699234 | + | 0.215202i | ||||
\(560\) | −13.9584 | − | 11.3129i | −0.589849 | − | 0.478057i | ||||
\(561\) | −0.142344 | − | 0.438088i | −0.00600975 | − | 0.0184961i | ||||
\(562\) | 33.3168 | + | 1.74606i | 1.40538 | + | 0.0736531i | ||||
\(563\) | 12.3667 | − | 19.0430i | 0.521192 | − | 0.802566i | −0.475841 | − | 0.879531i | \(-0.657856\pi\) |
0.997034 | + | 0.0769651i | \(0.0245230\pi\) | |||||||
\(564\) | −18.8265 | − | 16.9515i | −0.792740 | − | 0.713786i | ||||
\(565\) | 2.84773 | + | 42.9714i | 0.119805 | + | 1.80782i | ||||
\(566\) | −31.9214 | − | 10.3719i | −1.34176 | − | 0.435963i | ||||
\(567\) | −14.9406 | + | 7.34675i | −0.627448 | + | 0.308534i | ||||
\(568\) | 14.9349 | + | 14.9349i | 0.626655 | + | 0.626655i | ||||
\(569\) | 0.633538 | + | 1.42295i | 0.0265593 | + | 0.0596532i | 0.926338 | − | 0.376693i | \(-0.122939\pi\) |
−0.899779 | + | 0.436346i | \(0.856272\pi\) | |||||||
\(570\) | −4.72264 | − | 3.33251i | −0.197810 | − | 0.139583i | ||||
\(571\) | −32.3565 | − | 14.4060i | −1.35408 | − | 0.602874i | −0.403963 | − | 0.914775i | \(-0.632368\pi\) |
−0.950115 | + | 0.311901i | \(0.899034\pi\) | |||||||
\(572\) | 19.2050 | − | 23.7161i | 0.802999 | − | 0.991622i | ||||
\(573\) | 1.92864 | + | 0.982693i | 0.0805702 | + | 0.0410526i | ||||
\(574\) | 21.9489 | + | 20.3358i | 0.916130 | + | 0.848800i | ||||
\(575\) | −10.6397 | + | 44.6020i | −0.443708 | + | 1.86003i | ||||
\(576\) | −13.1290 | + | 22.7400i | −0.547040 | + | 0.947502i | ||||
\(577\) | −18.7186 | + | 0.981002i | −0.779267 | + | 0.0408397i | −0.437821 | − | 0.899062i | \(-0.644250\pi\) |
−0.341445 | + | 0.939902i | \(0.610916\pi\) | |||||||
\(578\) | 14.4404 | + | 37.6187i | 0.600643 | + | 1.56473i | ||||
\(579\) | −0.994624 | − | 9.46322i | −0.0413352 | − | 0.393278i | ||||
\(580\) | −6.11430 | + | 30.8554i | −0.253883 | + | 1.28120i | ||||
\(581\) | 16.7864 | + | 19.1853i | 0.696417 | + | 0.795940i | ||||
\(582\) | 7.63710 | − | 7.63710i | 0.316568 | − | 0.316568i | ||||
\(583\) | −3.26217 | − | 1.25223i | −0.135105 | − | 0.0518621i | ||||
\(584\) | 26.5471 | − | 5.64277i | 1.09853 | − | 0.233499i | ||||
\(585\) | 22.8149 | − | 23.4541i | 0.943279 | − | 0.969706i | ||||
\(586\) | 8.76679 | − | 41.2445i | 0.362153 | − | 1.70380i | ||||
\(587\) | 33.0264 | − | 16.8278i | 1.36315 | − | 0.694558i | 0.389162 | − | 0.921169i | \(-0.372765\pi\) |
0.973985 | + | 0.226611i | \(0.0727646\pi\) | |||||||
\(588\) | 13.1524 | + | 7.18006i | 0.542398 | + | 0.296101i | ||||
\(589\) | 7.56653 | − | 2.45851i | 0.311773 | − | 0.101301i | ||||
\(590\) | −2.04742 | − | 5.12113i | −0.0842911 | − | 0.210834i | ||||
\(591\) | 0.672357 | + | 3.16319i | 0.0276571 | + | 0.130116i | ||||
\(592\) | −13.5708 | − | 16.7586i | −0.557757 | − | 0.688772i | ||||
\(593\) | 6.57220 | + | 24.5278i | 0.269888 | + | 1.00724i | 0.959190 | + | 0.282762i | \(0.0912507\pi\) |
−0.689302 | + | 0.724474i | \(0.742083\pi\) | |||||||
\(594\) | 9.07198 | + | 6.59118i | 0.372228 | + | 0.270439i | ||||
\(595\) | 2.23546 | − | 2.48065i | 0.0916449 | − | 0.101697i | ||||
\(596\) | 16.7329 | − | 12.1572i | 0.685408 | − | 0.497978i | ||||
\(597\) | −0.267077 | − | 0.216275i | −0.0109307 | − | 0.00885153i | ||||
\(598\) | −6.31039 | − | 120.409i | −0.258051 | − | 4.92391i | ||||
\(599\) | −0.232774 | + | 0.134392i | −0.00951087 | + | 0.00549110i | −0.504748 | − | 0.863267i | \(-0.668415\pi\) |
0.495237 | + | 0.868758i | \(0.335081\pi\) | |||||||
\(600\) | −3.49637 | + | 11.8666i | −0.142739 | + | 0.484452i | ||||
\(601\) | 12.9678i | 0.528969i | 0.964390 | + | 0.264484i | \(0.0852018\pi\) | ||||
−0.964390 | + | 0.264484i | \(0.914798\pi\) | |||||||
\(602\) | −2.16750 | − | 5.89594i | −0.0883406 | − | 0.240301i | ||||
\(603\) | −14.2272 | − | 2.25336i | −0.579375 | − | 0.0917640i | ||||
\(604\) | −55.7923 | + | 5.86400i | −2.27016 | + | 0.238603i | ||||
\(605\) | −18.9302 | − | 5.86296i | −0.769621 | − | 0.238363i | ||||
\(606\) | −2.11208 | + | 20.0951i | −0.0857974 | + | 0.816308i | ||||
\(607\) | 2.09251 | − | 0.560685i | 0.0849322 | − | 0.0227575i | −0.216103 | − | 0.976371i | \(-0.569335\pi\) |
0.301035 | + | 0.953613i | \(0.402668\pi\) | |||||||
\(608\) | −2.89486 | + | 0.458501i | −0.117402 | + | 0.0185947i | ||||
\(609\) | 0.0770843 | − | 5.41679i | 0.00312361 | − | 0.219499i | ||||
\(610\) | 57.9845 | + | 2.23619i | 2.34773 | + | 0.0905408i | ||||
\(611\) | 63.0067 | + | 13.3925i | 2.54898 | + | 0.541802i | ||||
\(612\) | 4.88056 | + | 3.16947i | 0.197285 | + | 0.128118i | ||||
\(613\) | 22.0589 | + | 14.3252i | 0.890951 | + | 0.578591i | 0.906930 | − | 0.421282i | \(-0.138420\pi\) |
−0.0159784 | + | 0.999872i | \(0.505086\pi\) | |||||||
\(614\) | −21.2581 | − | 4.51855i | −0.857906 | − | 0.182354i | ||||
\(615\) | 2.01864 | − | 5.48399i | 0.0813995 | − | 0.221136i | ||||
\(616\) | −0.243961 | + | 17.1434i | −0.00982948 | + | 0.690727i | ||||
\(617\) | 9.54303 | − | 1.51147i | 0.384188 | − | 0.0608494i | 0.0386466 | − | 0.999253i | \(-0.487695\pi\) |
0.345541 | + | 0.938404i | \(0.387695\pi\) | |||||||
\(618\) | 6.98636 | − | 1.87199i | 0.281033 | − | 0.0753024i | ||||
\(619\) | 1.69652 | − | 16.1413i | 0.0681890 | − | 0.648775i | −0.906037 | − | 0.423199i | \(-0.860907\pi\) |
0.974226 | − | 0.225575i | \(-0.0724262\pi\) | |||||||
\(620\) | −21.3135 | − | 28.4992i | −0.855970 | − | 1.14455i | ||||
\(621\) | 28.9598 | − | 3.04380i | 1.16212 | − | 0.122144i | ||||
\(622\) | −52.4508 | − | 8.30739i | −2.10309 | − | 0.333096i | ||||
\(623\) | 8.28544 | + | 22.5377i | 0.331949 | + | 0.902955i | ||||
\(624\) | − | 9.22715i | − | 0.369382i | ||||||
\(625\) | −1.23612 | + | 24.9694i | −0.0494449 | + | 0.998777i | ||||
\(626\) | 65.4800 | − | 37.8049i | 2.61711 | − | 1.51099i | ||||
\(627\) | 0.0818792 | + | 1.56235i | 0.00326994 | + | 0.0623942i | ||||
\(628\) | 0.0700980 | + | 0.0567643i | 0.00279722 | + | 0.00226514i | ||||
\(629\) | 3.24241 | − | 2.35575i | 0.129283 | − | 0.0939299i | ||||
\(630\) | −4.03180 | + | 38.2071i | −0.160631 | + | 1.52221i | ||||
\(631\) | −15.0730 | − | 10.9512i | −0.600047 | − | 0.435959i | 0.245849 | − | 0.969308i | \(-0.420933\pi\) |
−0.845895 | + | 0.533349i | \(0.820933\pi\) | |||||||
\(632\) | 1.17305 | + | 4.37789i | 0.0466615 | + | 0.174143i | ||||
\(633\) | 5.81560 | + | 7.18167i | 0.231150 | + | 0.285446i | ||||
\(634\) | −14.3272 | − | 67.4041i | −0.569005 | − | 2.67696i | ||||
\(635\) | −34.0062 | + | 28.3243i | −1.34950 | + | 1.12402i | ||||
\(636\) | −4.86592 | + | 1.58103i | −0.192946 | + | 0.0626920i | ||||
\(637\) | −38.0898 | + | 0.910539i | −1.50917 | + | 0.0360769i | ||||
\(638\) | 11.5423 | − | 5.88112i | 0.456966 | − | 0.232836i | ||||
\(639\) | 2.66347 | − | 12.5306i | 0.105365 | − | 0.495704i | ||||
\(640\) | 21.4096 | + | 40.6216i | 0.846289 | + | 1.60571i | ||||
\(641\) | 32.8982 | − | 6.99272i | 1.29940 | − | 0.276196i | 0.494277 | − | 0.869305i | \(-0.335433\pi\) |
0.805122 | + | 0.593109i | \(0.202100\pi\) | |||||||
\(642\) | 5.13827 | + | 1.97240i | 0.202791 | + | 0.0778443i | ||||
\(643\) | −4.83539 | + | 4.83539i | −0.190689 | + | 0.190689i | −0.795994 | − | 0.605305i | \(-0.793051\pi\) |
0.605305 | + | 0.795994i | \(0.293051\pi\) | |||||||
\(644\) | 61.2718 | + | 70.0279i | 2.41445 | + | 2.75949i | ||||
\(645\) | −0.900287 | + | 0.833426i | −0.0354488 | + | 0.0328161i | ||||
\(646\) | 0.273221 | + | 2.59952i | 0.0107497 | + | 0.102277i | ||||
\(647\) | −11.8586 | − | 30.8928i | −0.466211 | − | 1.21452i | −0.942194 | − | 0.335067i | \(-0.891241\pi\) |
0.475983 | − | 0.879454i | \(-0.342092\pi\) | |||||||
\(648\) | −27.8545 | + | 1.45979i | −1.09423 | + | 0.0573461i | ||||
\(649\) | −0.746409 | + | 1.29282i | −0.0292991 | + | 0.0507476i | ||||
\(650\) | −15.4390 | − | 63.9004i | −0.605567 | − | 2.50638i | ||||
\(651\) | 4.49590 | + | 4.16548i | 0.176208 | + | 0.163258i | ||||
\(652\) | 62.6085 | + | 31.9006i | 2.45194 | + | 1.24932i | ||||
\(653\) | −9.15742 | + | 11.3085i | −0.358357 | + | 0.442535i | −0.924160 | − | 0.382006i | \(-0.875233\pi\) |
0.565802 | + | 0.824541i | \(0.308567\pi\) | |||||||
\(654\) | −5.55975 | − | 2.47536i | −0.217403 | − | 0.0967942i | ||||
\(655\) | 17.2958 | − | 0.238934i | 0.675803 | − | 0.00933592i | ||||
\(656\) | 5.78328 | + | 12.9895i | 0.225799 | + | 0.507153i | ||||
\(657\) | −11.6399 | − | 11.6399i | −0.454115 | − | 0.454115i | ||||
\(658\) | −67.8719 | + | 33.3746i | −2.64592 | + | 1.30108i | ||||
\(659\) | −20.5326 | − | 6.67144i | −0.799835 | − | 0.259882i | −0.119549 | − | 0.992828i | \(-0.538145\pi\) |
−0.680287 | + | 0.732946i | \(0.738145\pi\) | |||||||
\(660\) | 6.49802 | − | 2.59790i | 0.252935 | − | 0.101123i | ||||
\(661\) | 15.9439 | + | 14.3559i | 0.620144 | + | 0.558381i | 0.918175 | − | 0.396176i | \(-0.129663\pi\) |
−0.298030 | + | 0.954556i | \(0.596330\pi\) | |||||||
\(662\) | −14.8097 | + | 22.8049i | −0.575595 | + | 0.886339i | ||||
\(663\) | 1.71257 | + | 0.0897520i | 0.0665107 | + | 0.00348568i | ||||
\(664\) | 13.1974 | + | 40.6174i | 0.512158 | + | 1.57626i | ||||
\(665\) | −9.51441 | + | 6.17310i | −0.368953 | + | 0.239383i | ||||
\(666\) | −14.2491 | + | 43.8542i | −0.552141 | + | 1.69931i | ||||
\(667\) | 12.0554 | − | 31.4053i | 0.466785 | − | 1.21602i | ||||
\(668\) | −14.2227 | − | 3.81097i | −0.550295 | − | 0.147451i | ||||
\(669\) | −8.58962 | − | 0.902805i | −0.332094 | − | 0.0349045i | ||||
\(670\) | −19.0661 | + | 21.7724i | −0.736586 | + | 0.841143i | ||||
\(671\) | −9.23200 | − | 12.7068i | −0.356397 | − | 0.490539i | ||||
\(672\) | −1.39583 | − | 1.77476i | −0.0538454 | − | 0.0684630i | ||||
\(673\) | −2.28409 | + | 4.48278i | −0.0880452 | + | 0.172799i | −0.930830 | − | 0.365452i | \(-0.880914\pi\) |
0.842785 | + | 0.538250i | \(0.180914\pi\) | |||||||
\(674\) | −54.7059 | − | 31.5845i | −2.10719 | − | 1.21659i | ||||
\(675\) | 15.2160 | − | 4.53114i | 0.585663 | − | 0.174404i | ||||
\(676\) | 31.8795 | + | 55.2170i | 1.22614 | + | 2.12373i | ||||
\(677\) | −21.3908 | − | 32.9389i | −0.822114 | − | 1.26594i | −0.961252 | − | 0.275671i | \(-0.911100\pi\) |
0.139138 | − | 0.990273i | \(-0.455567\pi\) | |||||||
\(678\) | 4.06243 | − | 25.6492i | 0.156017 | − | 0.985051i | ||||
\(679\) | −8.34347 | − | 19.4812i | −0.320193 | − | 0.747618i | ||||
\(680\) | 5.07880 | − | 2.34582i | 0.194763 | − | 0.0899580i | ||||
\(681\) | 9.06791 | − | 4.03730i | 0.347483 | − | 0.154710i | ||||
\(682\) | −3.79326 | + | 14.1566i | −0.145251 | + | 0.542085i | ||||
\(683\) | 5.18312 | − | 4.19721i | 0.198327 | − | 0.160602i | −0.525013 | − | 0.851094i | \(-0.675939\pi\) |
0.723340 | + | 0.690492i | \(0.242606\pi\) | |||||||
\(684\) | −13.2254 | − | 14.6882i | −0.505684 | − | 0.561619i | ||||
\(685\) | −17.7456 | − | 26.5166i | −0.678025 | − | 1.01315i | ||||
\(686\) | 34.4932 | − | 28.4888i | 1.31696 | − | 1.08771i | ||||
\(687\) | 1.53503 | + | 3.01266i | 0.0585650 | + | 0.114940i | ||||
\(688\) | 0.156227 | − | 2.98099i | 0.00595610 | − | 0.113649i | ||||
\(689\) | 8.70472 | − | 9.66757i | 0.331624 | − | 0.368305i | ||||
\(690\) | 12.2113 | − | 24.8073i | 0.464877 | − | 0.944399i | ||||
\(691\) | 28.6363 | − | 25.7842i | 1.08937 | − | 0.980877i | 0.0894887 | − | 0.995988i | \(-0.471477\pi\) |
0.999886 | + | 0.0151106i | \(0.00481003\pi\) | |||||||
\(692\) | −1.50143 | − | 9.47965i | −0.0570758 | − | 0.360362i | ||||
\(693\) | 8.80104 | − | 5.53903i | 0.334324 | − | 0.210410i | ||||
\(694\) | −30.4650 | + | 41.9314i | −1.15643 | + | 1.59170i | ||||
\(695\) | −30.0497 | − | 2.73925i | −1.13985 | − | 0.103906i | ||||
\(696\) | 3.69144 | − | 8.29110i | 0.139924 | − | 0.314273i | ||||
\(697\) | −2.46711 | + | 0.947036i | −0.0934486 | + | 0.0358716i | ||||
\(698\) | 13.6809 | − | 8.88451i | 0.517831 | − | 0.336284i | ||||
\(699\) | −11.1756 | −0.422701 | ||||||||
\(700\) | 39.8502 | + | 31.3955i | 1.50619 | + | 1.18664i | ||||
\(701\) | −24.6418 | −0.930708 | −0.465354 | − | 0.885125i | \(-0.654073\pi\) | ||||
−0.465354 | + | 0.885125i | \(0.654073\pi\) | |||||||
\(702\) | −35.0126 | + | 22.7374i | −1.32147 | + | 0.858170i | ||||
\(703\) | −12.7081 | + | 4.87818i | −0.479295 | + | 0.183984i | ||||
\(704\) | 5.80796 | − | 13.0449i | 0.218896 | − | 0.491648i | ||||
\(705\) | 11.1127 | + | 9.73140i | 0.418530 | + | 0.366506i | ||||
\(706\) | −9.43574 | + | 12.9872i | −0.355119 | + | 0.488779i | ||||
\(707\) | 35.0667 | + | 18.5005i | 1.31882 | + | 0.695784i | ||||
\(708\) | 0.341934 | + | 2.15889i | 0.0128507 | + | 0.0811360i | ||||
\(709\) | 5.69908 | − | 5.13147i | 0.214033 | − | 0.192716i | −0.555140 | − | 0.831757i | \(-0.687335\pi\) |
0.769173 | + | 0.639041i | \(0.220669\pi\) | |||||||
\(710\) | −18.4492 | − | 17.9464i | −0.692388 | − | 0.673518i | ||||
\(711\) | 1.83943 | − | 2.04289i | 0.0689840 | − | 0.0766145i | ||||
\(712\) | −2.10539 | + | 40.1733i | −0.0789029 | + | 1.50556i | ||||
\(713\) | 17.2783 | + | 33.9105i | 0.647076 | + | 1.26996i | ||||
\(714\) | −1.64573 | + | 1.16028i | −0.0615898 | + | 0.0434222i | ||||
\(715\) | −11.0058 | + | 13.9816i | −0.411595 | + | 0.522884i | ||||
\(716\) | 18.7373 | + | 20.8098i | 0.700244 | + | 0.777700i | ||||
\(717\) | −1.44418 | + | 1.16947i | −0.0539337 | + | 0.0436747i | ||||
\(718\) | 6.74853 | − | 25.1859i | 0.251853 | − | 0.939928i | ||||
\(719\) | −1.31659 | + | 0.586184i | −0.0491005 | + | 0.0218610i | −0.431140 | − | 0.902285i | \(-0.641888\pi\) |
0.382039 | + | 0.924146i | \(0.375222\pi\) | |||||||
\(720\) | −8.90916 | + | 15.9355i | −0.332025 | + | 0.593881i | ||||
\(721\) | 1.68417 | − | 14.0919i | 0.0627219 | − | 0.524809i | ||||
\(722\) | −5.79091 | + | 36.5624i | −0.215515 | + | 1.36071i | ||||
\(723\) | 1.85081 | + | 2.85000i | 0.0688324 | + | 0.105993i | ||||
\(724\) | 5.85685 | + | 10.1444i | 0.217668 | + | 0.377012i | ||||
\(725\) | 3.31624 | − | 18.0385i | 0.123162 | − | 0.669933i | ||||
\(726\) | 10.3490 | + | 5.97498i | 0.384087 | + | 0.221752i | ||||
\(727\) | −11.7658 | + | 23.0917i | −0.436370 | + | 0.856425i | 0.563177 | + | 0.826336i | \(0.309579\pi\) |
−0.999547 | + | 0.0300888i | \(0.990421\pi\) | |||||||
\(728\) | −59.2595 | − | 23.7205i | −2.19630 | − | 0.879139i | ||||
\(729\) | 6.81857 | + | 9.38496i | 0.252540 | + | 0.347591i | ||||
\(730\) | −32.2520 | + | 7.32243i | −1.19370 | + | 0.271015i | ||||
\(731\) | 0.551756 | + | 0.0579919i | 0.0204074 | + | 0.00214491i | ||||
\(732\) | −22.2139 | − | 5.95218i | −0.821048 | − | 0.219999i | ||||
\(733\) | 5.99764 | − | 15.6244i | 0.221528 | − | 0.577100i | −0.777105 | − | 0.629371i | \(-0.783313\pi\) |
0.998633 | + | 0.0522711i | \(0.0166460\pi\) | |||||||
\(734\) | −20.5228 | + | 63.1626i | −0.757510 | + | 2.33137i | ||||
\(735\) | −7.72596 | − | 4.08018i | −0.284976 | − | 0.150500i | ||||
\(736\) | −4.33265 | − | 13.3345i | −0.159703 | − | 0.491517i | ||||
\(737\) | 7.82263 | + | 0.409967i | 0.288150 | + | 0.0151013i | ||||
\(738\) | 16.5592 | − | 25.4990i | 0.609554 | − | 0.938630i | ||||
\(739\) | 18.4988 | + | 16.6564i | 0.680491 | + | 0.612717i | 0.935124 | − | 0.354321i | \(-0.115288\pi\) |
−0.254633 | + | 0.967038i | \(0.581955\pi\) | |||||||
\(740\) | 38.9683 | + | 46.7854i | 1.43250 | + | 1.71987i | ||||
\(741\) | −5.53947 | − | 1.79988i | −0.203498 | − | 0.0661204i | ||||
\(742\) | −1.01639 | + | 15.2410i | −0.0373130 | + | 0.559515i | ||||
\(743\) | −2.50838 | − | 2.50838i | −0.0920235 | − | 0.0920235i | 0.659596 | − | 0.751620i | \(-0.270727\pi\) |
−0.751620 | + | 0.659596i | \(0.770727\pi\) | |||||||
\(744\) | 4.17636 | + | 9.38026i | 0.153113 | + | 0.343897i | ||||
\(745\) | −9.65770 | + | 7.22264i | −0.353831 | + | 0.264617i | ||||
\(746\) | −12.9911 | − | 5.78400i | −0.475637 | − | 0.211767i | ||||
\(747\) | 16.3015 | − | 20.1307i | 0.596442 | − | 0.736544i | ||||
\(748\) | −2.81974 | − | 1.43673i | −0.103100 | − | 0.0525320i | ||||
\(749\) | 7.33980 | − | 7.92202i | 0.268190 | − | 0.289464i | ||||
\(750\) | 4.06050 | − | 14.5180i | 0.148268 | − | 0.530123i | ||||
\(751\) | −13.8463 | + | 23.9826i | −0.505260 | + | 0.875137i | 0.494721 | + | 0.869052i | \(0.335270\pi\) |
−0.999981 | + | 0.00608485i | \(0.998063\pi\) | |||||||
\(752\) | −35.8919 | + | 1.88102i | −1.30884 | + | 0.0685936i | ||||
\(753\) | −1.33361 | − | 3.47417i | −0.0485994 | − | 0.126606i | ||||
\(754\) | 5.04123 | + | 47.9641i | 0.183591 | + | 1.74675i | ||||
\(755\) | 32.4807 | − | 3.86819i | 1.18209 | − | 0.140778i | ||||
\(756\) | 10.3907 | − | 30.4957i | 0.377905 | − | 1.10912i | ||||
\(757\) | 30.1485 | − | 30.1485i | 1.09577 | − | 1.09577i | 0.100866 | − | 0.994900i | \(-0.467839\pi\) |
0.994900 | − | 0.100866i | \(-0.0321612\pi\) | |||||||
\(758\) | −33.5337 | − | 12.8724i | −1.21800 | − | 0.467546i | ||||
\(759\) | −7.32050 | + | 1.55602i | −0.265717 | + | 0.0564800i | ||||
\(760\) | −18.7239 | + | 3.23131i | −0.679188 | + | 0.117212i | ||||
\(761\) | −3.30616 | + | 15.5543i | −0.119848 | + | 0.563841i | 0.876715 | + | 0.481010i | \(0.159730\pi\) |
−0.996564 | + | 0.0828319i | \(0.973604\pi\) | |||||||
\(762\) | 23.7786 | − | 12.1158i | 0.861407 | − | 0.438909i | ||||
\(763\) | −8.56337 | + | 8.32306i | −0.310015 | + | 0.301315i | ||||
\(764\) | 14.1433 | − | 4.59543i | 0.511686 | − | 0.166257i | ||||
\(765\) | −2.87099 | − | 1.80855i | −0.103801 | − | 0.0653884i | ||||
\(766\) | 8.41972 | + | 39.6117i | 0.304217 | + | 1.43123i | ||||
\(767\) | −3.49758 | − | 4.31915i | −0.126290 | − | 0.155955i | ||||
\(768\) | −4.34431 | − | 16.2132i | −0.156762 | − | 0.585042i | ||||
\(769\) | −15.7755 | − | 11.4616i | −0.568879 | − | 0.413315i | 0.265819 | − | 0.964023i | \(-0.414358\pi\) |
−0.834698 | + | 0.550708i | \(0.814358\pi\) | |||||||
\(770\) | 0.00869160 | − | 20.8929i | 0.000313224 | − | 0.752928i | ||||
\(771\) | −11.2779 | + | 8.19388i | −0.406164 | + | 0.295095i | ||||
\(772\) | −50.8042 | − | 41.1404i | −1.82848 | − | 1.48068i | ||||
\(773\) | −0.273093 | − | 5.21092i | −0.00982247 | − | 0.187424i | −0.999134 | − | 0.0416069i | \(-0.986752\pi\) |
0.989312 | − | 0.145817i | \(-0.0465810\pi\) | |||||||
\(774\) | −5.52787 | + | 3.19152i | −0.198695 | + | 0.114717i | ||||
\(775\) | 12.6557 | + | 16.4439i | 0.454606 | + | 0.590682i | ||||
\(776\) | − | 35.5044i | − | 1.27453i | ||||||
\(777\) | −8.05474 | − | 6.71460i | −0.288962 | − | 0.240885i | ||||
\(778\) | −26.0861 | − | 4.13163i | −0.935232 | − | 0.148126i | ||||
\(779\) | 8.92626 | − | 0.938188i | 0.319817 | − | 0.0336141i | ||||
\(780\) | 0.359885 | + | 26.0512i | 0.0128860 | + | 0.932781i | ||||
\(781\) | −0.728204 | + | 6.92840i | −0.0260572 | + | 0.247918i | ||||
\(782\) | −12.0778 | + | 3.23623i | −0.431900 | + | 0.115727i | ||||
\(783\) | −11.5040 | + | 1.82205i | −0.411118 | + | 0.0651148i | ||||
\(784\) | 20.3973 | − | 5.99140i | 0.728473 | − | 0.213979i | ||||
\(785\) | −0.0413257 | − | 0.0325301i | −0.00147498 | − | 0.00116105i | ||||
\(786\) | −10.2026 | − | 2.16862i | −0.363913 | − | 0.0773521i | ||||
\(787\) | −27.1106 | − | 17.6059i | −0.966390 | − | 0.627581i | −0.0380351 | − | 0.999276i | \(-0.512110\pi\) |
−0.928355 | + | 0.371696i | \(0.878777\pi\) | |||||||
\(788\) | 18.6331 | + | 12.1005i | 0.663777 | + | 0.431062i | ||||
\(789\) | −4.18388 | − | 0.889312i | −0.148950 | − | 0.0316603i | ||||
\(790\) | −1.50303 | − | 5.31461i | −0.0534754 | − | 0.189085i | ||||
\(791\) | −43.7622 | − | 26.1033i | −1.55600 | − | 0.928128i | ||||
\(792\) | 17.2071 | − | 2.72534i | 0.611428 | − | 0.0968407i | ||||
\(793\) | 56.4819 | − | 15.1343i | 2.00573 | − | 0.537434i | ||||
\(794\) | −4.89675 | + | 46.5894i | −0.173779 | + | 1.65340i | ||||
\(795\) | 2.82419 | − | 0.960963i | 0.100164 | − | 0.0340818i | ||||
\(796\) | −2.34812 | + | 0.246798i | −0.0832270 | + | 0.00874751i | ||||
\(797\) | 20.0605 | + | 3.17727i | 0.710580 | + | 0.112545i | 0.501253 | − | 0.865301i | \(-0.332873\pi\) |
0.209327 | + | 0.977846i | \(0.432873\pi\) | |||||||
\(798\) | 6.41902 | − | 2.35979i | 0.227231 | − | 0.0835358i | ||||
\(799\) | − | 6.67988i | − | 0.236317i | ||||||
\(800\) | −3.65727 | − | 6.71267i | −0.129304 | − | 0.237329i | ||||
\(801\) | 21.1307 | − | 12.1998i | 0.746617 | − | 0.431060i | ||||
\(802\) | 1.27450 | + | 24.3190i | 0.0450043 | + | 0.858733i | ||||
\(803\) | 6.95690 | + | 5.63359i | 0.245504 | + | 0.198805i | ||||
\(804\) | 9.27917 | − | 6.74171i | 0.327251 | − | 0.237762i | ||||
\(805\) | −36.2866 | − | 40.3341i | −1.27894 | − | 1.42159i | ||||
\(806\) | −44.1431 | − | 32.0718i | −1.55487 | − | 1.12968i | ||||
\(807\) | 0.817614 | + | 3.05138i | 0.0287814 | + | 0.107414i | ||||
\(808\) | 41.8010 | + | 51.6199i | 1.47055 | + | 1.81598i | ||||
\(809\) | 8.96324 | + | 42.1687i | 0.315131 | + | 1.48257i | 0.795740 | + | 0.605638i | \(0.207082\pi\) |
−0.480610 | + | 0.876935i | \(0.659585\pi\) | |||||||
\(810\) | 33.9155 | − | 2.24759i | 1.19167 | − | 0.0789722i | ||||
\(811\) | −36.4933 | + | 11.8574i | −1.28145 | + | 0.416370i | −0.869092 | − | 0.494651i | \(-0.835296\pi\) |
−0.412362 | + | 0.911020i | \(0.635296\pi\) | |||||||
\(812\) | −25.9403 | − | 26.6892i | −0.910325 | − | 0.936608i | ||||
\(813\) | 8.36879 | − | 4.26411i | 0.293506 | − | 0.149549i | ||||
\(814\) | 5.21355 | − | 24.5278i | 0.182735 | − | 0.859699i | ||||
\(815\) | −36.7589 | − | 18.0944i | −1.28761 | − | 0.633819i | ||||
\(816\) | −0.935963 | + | 0.198945i | −0.0327652 | + | 0.00696447i | ||||
\(817\) | −1.75915 | − | 0.675274i | −0.0615448 | − | 0.0236248i | ||||
\(818\) | 34.9565 | − | 34.9565i | 1.22223 | − | 1.22223i | ||||
\(819\) | 7.50965 | + | 37.9797i | 0.262409 | + | 1.32712i | ||||
\(820\) | −16.8347 | − | 36.4478i | −0.587892 | − | 1.27281i | ||||
\(821\) | 3.73171 | + | 35.5049i | 0.130238 | + | 1.23913i | 0.843074 | + | 0.537798i | \(0.180744\pi\) |
−0.712836 | + | 0.701331i | \(0.752590\pi\) | |||||||
\(822\) | 6.89498 | + | 17.9620i | 0.240490 | + | 0.626498i | ||||
\(823\) | 5.63229 | − | 0.295176i | 0.196329 | − | 0.0102892i | 0.0460822 | − | 0.998938i | \(-0.485326\pi\) |
0.150247 | + | 0.988648i | \(0.451993\pi\) | |||||||
\(824\) | 11.8882 | − | 20.5909i | 0.414145 | − | 0.717319i | ||||
\(825\) | −3.76755 | + | 1.56696i | −0.131169 | + | 0.0545546i | ||||
\(826\) | 6.36317 | + | 1.44746i | 0.221403 | + | 0.0503637i | ||||
\(827\) | 19.3829 | + | 9.87609i | 0.674010 | + | 0.343425i | 0.757270 | − | 0.653102i | \(-0.226533\pi\) |
−0.0832591 | + | 0.996528i | \(0.526533\pi\) | |||||||
\(828\) | 59.5020 | − | 73.4788i | 2.06784 | − | 2.55357i | ||||
\(829\) | 3.47090 | + | 1.54534i | 0.120549 | + | 0.0536720i | 0.466125 | − | 0.884719i | \(-0.345650\pi\) |
−0.345576 | + | 0.938391i | \(0.612316\pi\) | |||||||
\(830\) | −16.7644 | − | 49.2692i | −0.581901 | − | 1.71016i | ||||
\(831\) | −7.26585 | − | 16.3194i | −0.252049 | − | 0.566112i | ||||
\(832\) | 37.5910 | + | 37.5910i | 1.30323 | + | 1.30323i | ||||
\(833\) | 0.913609 | + | 3.84403i | 0.0316547 | + | 0.133188i | ||||
\(834\) | 17.3048 | + | 5.62266i | 0.599215 | + | 0.194697i | ||||
\(835\) | 8.32283 | + | 2.10732i | 0.288023 | + | 0.0729267i | ||||
\(836\) | 7.98766 | + | 7.19212i | 0.276259 | + | 0.248745i | ||||
\(837\) | 7.17694 | − | 11.0515i | 0.248071 | − | 0.381996i | ||||
\(838\) | −88.7775 | − | 4.65263i | −3.06677 | − | 0.160722i | ||||
\(839\) | 12.6655 | + | 38.9803i | 0.437260 | + | 1.34575i | 0.890753 | + | 0.454488i | \(0.150178\pi\) |
−0.453492 | + | 0.891260i | \(0.649822\pi\) | |||||||
\(840\) | −9.20696 | − | 11.3793i | −0.317670 | − | 0.392624i | ||||
\(841\) | 4.80354 | − | 14.7838i | 0.165639 | − | 0.509786i | ||||
\(842\) | 7.13886 | − | 18.5974i | 0.246022 | − | 0.640908i | ||||
\(843\) | 7.44684 | + | 1.99537i | 0.256483 | + | 0.0687243i | ||||
\(844\) | 63.1408 | + | 6.63637i | 2.17340 | + | 0.228433i | ||||
\(845\) | −19.0311 | − | 31.9358i | −0.654690 | − | 1.09862i | ||||
\(846\) | 45.1733 | + | 62.1757i | 1.55309 | + | 2.13764i | ||||
\(847\) | 18.4308 | − | 14.4956i | 0.633289 | − | 0.498075i | ||||
\(848\) | −3.29535 | + | 6.46748i | −0.113163 | + | 0.222094i | ||||
\(849\) | −6.71700 | − | 3.87806i | −0.230527 | − | 0.133095i | ||||
\(850\) | −6.14891 | + | 2.94381i | −0.210906 | + | 0.100972i | ||||
\(851\) | −32.5583 | − | 56.3926i | −1.11608 | − | 1.93311i | ||||
\(852\) | 5.55559 | + | 8.55486i | 0.190331 | + | 0.293085i | ||||
\(853\) | −6.26945 | + | 39.5837i | −0.214662 | + | 1.35532i | 0.611212 | + | 0.791467i | \(0.290682\pi\) |
−0.825874 | + | 0.563855i | \(0.809318\pi\) | |||||||
\(854\) | −41.1432 | + | 54.9666i | −1.40789 | + | 1.88092i | ||||
\(855\) | 7.82893 | + | 8.45701i | 0.267744 | + | 0.289223i | ||||
\(856\) | 16.5285 | − | 7.35897i | 0.564933 | − | 0.251524i | ||||
\(857\) | −6.92634 | + | 25.8494i | −0.236599 | + | 0.883000i | 0.740822 | + | 0.671701i | \(0.234436\pi\) |
−0.977421 | + | 0.211299i | \(0.932231\pi\) | |||||||
\(858\) | 8.33854 | − | 6.75242i | 0.284673 | − | 0.230524i | ||||
\(859\) | 8.92532 | + | 9.91257i | 0.304528 | + | 0.338213i | 0.875913 | − | 0.482470i | \(-0.160260\pi\) |
−0.571385 | + | 0.820682i | \(0.693594\pi\) | |||||||
\(860\) | −0.324812 | + | 8.42238i | −0.0110760 | + | 0.287201i | ||||
\(861\) | 3.98416 | + | 5.65112i | 0.135780 | + | 0.192589i | ||||
\(862\) | 7.85111 | + | 15.4087i | 0.267410 | + | 0.524822i | ||||
\(863\) | 0.438107 | − | 8.35958i | 0.0149133 | − | 0.284563i | −0.980985 | − | 0.194084i | \(-0.937827\pi\) |
0.995898 | − | 0.0904797i | \(-0.0288400\pi\) | |||||||
\(864\) | −3.24832 | + | 3.60762i | −0.110510 | + | 0.122734i | ||||
\(865\) | 0.951712 | + | 5.51472i | 0.0323592 | + | 0.187506i | ||||
\(866\) | 38.5892 | − | 34.7459i | 1.31131 | − | 1.18071i | ||||
\(867\) | 1.45664 | + | 9.19688i | 0.0494702 | + | 0.312342i | ||||
\(868\) | 42.0770 | − | 1.60518i | 1.42819 | − | 0.0544835i | ||||
\(869\) | −0.878700 | + | 1.20943i | −0.0298078 | + | 0.0410270i | ||||
\(870\) | −4.35837 | + | 10.1646i | −0.147762 | + | 0.344614i | ||||
\(871\) | −11.8618 | + | 26.6420i | −0.401922 | + | 0.902730i | ||||
\(872\) | −18.6773 | + | 7.16956i | −0.632495 | + | 0.242792i | ||||
\(873\) | −18.0603 | + | 11.7285i | −0.611247 | + | 0.396949i | ||||
\(874\) | 42.4679 | 1.43650 | ||||||||
\(875\) | −23.4863 | − | 17.9832i | −0.793981 | − | 0.607943i | ||||
\(876\) | 13.1074 | 0.442858 | ||||||||
\(877\) | 34.6998 | − | 22.5343i | 1.17173 | − | 0.760929i | 0.196148 | − | 0.980574i | \(-0.437157\pi\) |
0.975580 | + | 0.219645i | \(0.0704899\pi\) | |||||||
\(878\) | 12.2814 | − | 4.71439i | 0.414478 | − | 0.159103i | ||||
\(879\) | 3.96319 | − | 8.90146i | 0.133675 | − | 0.300239i | ||||
\(880\) | 3.91254 | − | 9.12489i | 0.131892 | − | 0.307600i | ||||
\(881\) | 23.6682 | − | 32.5764i | 0.797400 | − | 1.09753i | −0.195747 | − | 0.980655i | \(-0.562713\pi\) |
0.993147 | − | 0.116873i | \(-0.0372870\pi\) | |||||||
\(882\) | −34.4994 | − | 29.6015i | −1.16165 | − | 0.996735i | ||||
\(883\) | 4.81060 | + | 30.3729i | 0.161890 | + | 1.02213i | 0.926131 | + | 0.377201i | \(0.123113\pi\) |
−0.764242 | + | 0.644930i | \(0.776887\pi\) | |||||||
\(884\) | 8.75569 | − | 7.88366i | 0.294486 | − | 0.265156i | ||||
\(885\) | −0.216742 | − | 1.25592i | −0.00728571 | − | 0.0422172i | ||||
\(886\) | −36.2387 | + | 40.2471i | −1.21746 | + | 1.35213i | ||||
\(887\) | 0.307382 | − | 5.86520i | 0.0103209 | − | 0.196934i | −0.988603 | − | 0.150548i | \(-0.951896\pi\) |
0.998924 | − | 0.0463862i | \(-0.0147705\pi\) | |||||||
\(888\) | −7.97572 | − | 15.6532i | −0.267648 | − | 0.525288i | ||||
\(889\) | −4.73211 | − | 52.1515i | −0.158710 | − | 1.74910i | ||||
\(890\) | 1.88915 | − | 48.9856i | 0.0633243 | − | 1.64200i | ||||
\(891\) | −6.15605 | − | 6.83699i | −0.206236 | − | 0.229048i | ||||
\(892\) | −46.1142 | + | 37.3426i | −1.54402 | + | 1.25032i | ||||
\(893\) | −5.87196 | + | 21.9145i | −0.196498 | + | 0.733339i | ||||
\(894\) | 6.64341 | − | 2.95784i | 0.222189 | − | 0.0989248i | ||||
\(895\) | −11.0918 | − | 11.9816i | −0.370757 | − | 0.400501i | ||||
\(896\) | −53.9473 | − | 6.44744i | −1.80225 | − | 0.215394i | ||||
\(897\) | 4.35871 | − | 27.5198i | 0.145533 | − | 0.918859i | ||||
\(898\) | −15.4168 | − | 23.7398i | −0.514466 | − | 0.792208i | ||||
\(899\) | −7.61149 | − | 13.1835i | −0.253857 | − | 0.439694i | ||||
\(900\) | 24.5319 | − | 45.3384i | 0.817728 | − | 1.51128i | ||||
\(901\) | −1.16832 | − | 0.674529i | −0.0389223 | − | 0.0224718i | ||||
\(902\) | −7.50633 | + | 14.7320i | −0.249934 | + | 0.490522i | ||||
\(903\) | −0.206657 | − | 1.43682i | −0.00687713 | − | 0.0478144i | ||||
\(904\) | −50.1777 | − | 69.0637i | −1.66889 | − | 2.29702i | ||||
\(905\) | −3.49636 | − | 5.86719i | −0.116223 | − | 0.195032i | ||||
\(906\) | −19.6164 | − | 2.06177i | −0.651713 | − | 0.0684978i | ||||
\(907\) | −23.2373 | − | 6.22641i | −0.771582 | − | 0.206745i | −0.148512 | − | 0.988911i | \(-0.547448\pi\) |
−0.623070 | + | 0.782166i | \(0.714115\pi\) | |||||||
\(908\) | 24.4388 | − | 63.6651i | 0.811029 | − | 2.11280i | ||||
\(909\) | 12.4494 | − | 38.3152i | 0.412920 | − | 1.27084i | ||||
\(910\) | 72.6056 | + | 27.9053i | 2.40685 | + | 0.925053i | ||||
\(911\) | 7.43470 | + | 22.8816i | 0.246323 | + | 0.758103i | 0.995416 | + | 0.0956386i | \(0.0304893\pi\) |
−0.749094 | + | 0.662464i | \(0.769511\pi\) | |||||||
\(912\) | 3.24546 | + | 0.170087i | 0.107468 | + | 0.00563216i | ||||
\(913\) | −7.67211 | + | 11.8140i | −0.253910 | + | 0.390987i | ||||
\(914\) | −22.9557 | − | 20.6694i | −0.759306 | − | 0.683682i | ||||
\(915\) | 12.9990 | + | 3.29132i | 0.429735 | + | 0.108808i | ||||
\(916\) | 22.0927 | + | 7.17836i | 0.729964 | + | 0.237180i | ||||
\(917\) | −11.3900 | + | 17.0044i | −0.376132 | + | 0.561535i | ||||
\(918\) | 3.06129 | + | 3.06129i | 0.101038 | + | 0.101038i | ||||
\(919\) | −11.7566 | − | 26.4058i | −0.387816 | − | 0.871048i | −0.996955 | − | 0.0779846i | \(-0.975151\pi\) |
0.609139 | − | 0.793064i | \(-0.291515\pi\) | |||||||
\(920\) | −29.2791 | − | 86.0487i | −0.965302 | − | 2.83694i | ||||
\(921\) | −4.58795 | − | 2.04269i | −0.151178 | − | 0.0673089i | ||||
\(922\) | 22.6256 | − | 27.9403i | 0.745136 | − | 0.920166i | ||||
\(923\) | −23.1094 | − | 11.7748i | −0.760654 | − | 0.387572i | ||||
\(924\) | −1.83664 | + | 8.07400i | −0.0604209 | + | 0.265615i | ||||
\(925\) | −23.0961 | − | 26.9629i | −0.759395 | − | 0.886536i | ||||
\(926\) | −18.0680 | + | 31.2948i | −0.593752 | + | 1.02841i | ||||
\(927\) | −14.4013 | + | 0.754738i | −0.473000 | + | 0.0247889i | ||||
\(928\) | 2.00977 | + | 5.23563i | 0.0659739 | + | 0.171868i | ||||
\(929\) | 3.32457 | + | 31.6312i | 0.109076 | + | 1.03779i | 0.902962 | + | 0.429720i | \(0.141388\pi\) |
−0.793887 | + | 0.608066i | \(0.791946\pi\) | |||||||
\(930\) | −5.24669 | − | 11.3593i | −0.172046 | − | 0.372487i | ||||
\(931\) | 0.381860 | − | 13.4141i | 0.0125149 | − | 0.439629i | ||||
\(932\) | −54.2912 | + | 54.2912i | −1.77837 | + | 1.77837i | ||||
\(933\) | −11.4565 | − | 4.39775i | −0.375070 | − | 0.143976i | ||||
\(934\) | 70.9271 | − | 15.0760i | 2.32081 | − | 0.493303i | ||||
\(935\) | 1.65553 | + | 0.814930i | 0.0541417 | + | 0.0266511i | ||||
\(936\) | −13.4851 | + | 63.4426i | −0.440776 | + | 2.07369i | ||||
\(937\) | −10.3960 | + | 5.29702i | −0.339622 | + | 0.173046i | −0.615480 | − | 0.788152i | \(-0.711038\pi\) |
0.275858 | + | 0.961198i | \(0.411038\pi\) | |||||||
\(938\) | −8.39117 | − | 33.1989i | −0.273981 | − | 1.08398i | ||||
\(939\) | 16.6170 | − | 5.39920i | 0.542276 | − | 0.176196i | ||||
\(940\) | 101.261 | − | 6.71059i | 3.30277 | − | 0.218875i | ||||
\(941\) | 4.28608 | + | 20.1644i | 0.139722 | + | 0.657341i | 0.991137 | + | 0.132847i | \(0.0424120\pi\) |
−0.851414 | + | 0.524494i | \(0.824255\pi\) | |||||||
\(942\) | 0.0199582 | + | 0.0246463i | 0.000650273 | + | 0.000803020i | ||||
\(943\) | 11.1126 | + | 41.4727i | 0.361875 | + | 1.35054i | ||||
\(944\) | 2.50878 | + | 1.82274i | 0.0816540 | + | 0.0593251i | ||||
\(945\) | −5.81235 | + | 17.8633i | −0.189076 | + | 0.581092i | ||||
\(946\) | 2.80824 | − | 2.04031i | 0.0913038 | − | 0.0663361i | ||||
\(947\) | 3.09736 | + | 2.50819i | 0.100651 | + | 0.0815052i | 0.678325 | − | 0.734762i | \(-0.262706\pi\) |
−0.577674 | + | 0.816267i | \(0.696040\pi\) | |||||||
\(948\) | 0.114558 | + | 2.18589i | 0.00372067 | + | 0.0709946i | ||||
\(949\) | −28.8624 | + | 16.6637i | −0.936914 | + | 0.540927i | ||||
\(950\) | 22.7603 | − | 4.25245i | 0.738440 | − | 0.137968i | ||||
\(951\) | − | 15.9240i | − | 0.516370i | ||||||
\(952\) | −1.12842 | + | 6.52247i | −0.0365723 | + | 0.211394i | ||||
\(953\) | 29.6005 | + | 4.68827i | 0.958856 | + | 0.151868i | 0.616197 | − | 0.787592i | \(-0.288673\pi\) |
0.342659 | + | 0.939460i | \(0.388673\pi\) | |||||||
\(954\) | 15.4362 | − | 1.62240i | 0.499764 | − | 0.0525273i | ||||
\(955\) | −8.20879 | + | 2.79314i | −0.265630 | + | 0.0903837i | ||||
\(956\) | −1.33452 | + | 12.6971i | −0.0431614 | + | 0.410653i | ||||
\(957\) | 2.89152 | − | 0.774781i | 0.0934696 | − | 0.0250451i | ||||
\(958\) | 63.1808 | − | 10.0069i | 2.04128 | − | 0.323307i | ||||
\(959\) | 37.7487 | + | 0.537188i | 1.21897 | + | 0.0173467i | ||||
\(960\) | 3.31761 | + | 11.7308i | 0.107075 | + | 0.378611i | ||||
\(961\) | −13.4762 | − | 2.86445i | −0.434716 | − | 0.0924017i | ||||
\(962\) | 78.2950 | + | 50.8454i | 2.52433 | + | 1.63932i | ||||
\(963\) | −9.20335 | − | 5.97672i | −0.296574 | − | 0.192597i | ||||
\(964\) | 22.8365 | + | 4.85406i | 0.735515 | + | 0.156339i | ||||
\(965\) | 29.9512 | + | 23.5765i | 0.964162 | + | 0.758954i | ||||
\(966\) | 15.9531 | + | 28.5627i | 0.513283 | + | 0.918989i | ||||
\(967\) | 20.6576 | − | 3.27184i | 0.664304 | − | 0.105215i | 0.184829 | − | 0.982771i | \(-0.440827\pi\) |
0.479475 | + | 0.877555i | \(0.340827\pi\) | |||||||
\(968\) | 37.9445 | − | 10.1672i | 1.21958 | − | 0.326786i | ||||
\(969\) | −0.0631369 | + | 0.600707i | −0.00202825 | + | 0.0192975i | ||||
\(970\) | 0.597635 | + | 43.2612i | 0.0191889 | + | 1.38903i | ||||
\(971\) | 38.7973 | − | 4.07776i | 1.24506 | − | 0.130862i | 0.541016 | − | 0.841013i | \(-0.318040\pi\) |
0.704049 | + | 0.710151i | \(0.251373\pi\) | |||||||
\(972\) | −49.3862 | − | 7.82201i | −1.58406 | − | 0.250891i | ||||
\(973\) | 22.8610 | − | 27.4237i | 0.732889 | − | 0.879163i | ||||
\(974\) | − | 0.144784i | − | 0.00463916i | ||||||
\(975\) | −0.419640 | − | 15.1854i | −0.0134392 | − | 0.486323i | ||||
\(976\) | −28.2557 | + | 16.3134i | −0.904444 | + | 0.522181i | ||||
\(977\) | 1.84168 | + | 35.1414i | 0.0589207 | + | 1.12427i | 0.854847 | + | 0.518880i | \(0.173651\pi\) |
−0.795926 | + | 0.605394i | \(0.793016\pi\) | |||||||
\(978\) | 19.2000 | + | 15.5478i | 0.613948 | + | 0.497165i | ||||
\(979\) | −10.7347 | + | 7.79924i | −0.343083 | + | 0.249265i | ||||
\(980\) | −57.3542 | + | 17.7112i | −1.83211 | + | 0.565763i | ||||
\(981\) | 9.81684 | + | 7.13235i | 0.313428 | + | 0.227718i | ||||
\(982\) | 16.0700 | + | 59.9740i | 0.512814 | + | 1.91385i | ||||
\(983\) | −7.10478 | − | 8.77367i | −0.226607 | − | 0.279837i | 0.651143 | − | 0.758955i | \(-0.274290\pi\) |
−0.877750 | + | 0.479118i | \(0.840956\pi\) | |||||||
\(984\) | 2.40840 | + | 11.3306i | 0.0767770 | + | 0.361207i | ||||
\(985\) | −10.9609 | − | 6.90474i | −0.349244 | − | 0.220003i | ||||
\(986\) | 4.75658 | − | 1.54551i | 0.151480 | − | 0.0492190i | ||||
\(987\) | −16.9448 | + | 4.28289i | −0.539360 | + | 0.136326i | ||||
\(988\) | −35.6546 | + | 18.1669i | −1.13432 | + | 0.577967i | ||||
\(989\) | 1.87410 | − | 8.81695i | 0.0595929 | − | 0.280363i | ||||
\(990\) | −20.9206 | + | 3.61040i | −0.664899 | + | 0.114746i | ||||
\(991\) | 56.2369 | − | 11.9535i | 1.78642 | − | 0.379716i | 0.808470 | − | 0.588537i | \(-0.200296\pi\) |
0.977954 | + | 0.208821i | \(0.0669625\pi\) | |||||||
\(992\) | −5.92340 | − | 2.27378i | −0.188068 | − | 0.0721926i | ||||
\(993\) | −4.44316 | + | 4.44316i | −0.140999 | + | 0.140999i | ||||
\(994\) | 29.8753 | − | 5.90718i | 0.947587 | − | 0.187364i | ||||
\(995\) | 1.36701 | − | 0.162800i | 0.0433372 | − | 0.00516110i | ||||
\(996\) | 2.15598 | + | 20.5127i | 0.0683147 | + | 0.649971i | ||||
\(997\) | −2.06357 | − | 5.37578i | −0.0653539 | − | 0.170253i | 0.897014 | − | 0.442001i | \(-0.145731\pi\) |
−0.962368 | + | 0.271749i | \(0.912398\pi\) | |||||||
\(998\) | 48.7782 | − | 2.55636i | 1.54405 | − | 0.0809201i | ||||
\(999\) | −11.2730 | + | 19.5254i | −0.356661 | + | 0.617756i |
(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 | 175.2.x.a.33.17 | ✓ | 288 | |
5.2 | odd | 4 | 875.2.bb.b.607.17 | 288 | |||
5.3 | odd | 4 | 875.2.bb.a.607.2 | 288 | |||
5.4 | even | 2 | 875.2.bb.c.768.2 | 288 | |||
7.3 | odd | 6 | inner | 175.2.x.a.108.17 | yes | 288 | |
25.3 | odd | 20 | 875.2.bb.c.257.2 | 288 | |||
25.4 | even | 10 | 875.2.bb.a.243.17 | 288 | |||
25.21 | even | 5 | 875.2.bb.b.243.2 | 288 | |||
25.22 | odd | 20 | inner | 175.2.x.a.47.17 | yes | 288 | |
35.3 | even | 12 | 875.2.bb.a.857.17 | 288 | |||
35.17 | even | 12 | 875.2.bb.b.857.2 | 288 | |||
35.24 | odd | 6 | 875.2.bb.c.143.2 | 288 | |||
175.3 | even | 60 | 875.2.bb.c.507.2 | 288 | |||
175.122 | even | 60 | inner | 175.2.x.a.122.17 | yes | 288 | |
175.129 | odd | 30 | 875.2.bb.a.493.2 | 288 | |||
175.171 | odd | 30 | 875.2.bb.b.493.17 | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.x.a.33.17 | ✓ | 288 | 1.1 | even | 1 | trivial | |
175.2.x.a.47.17 | yes | 288 | 25.22 | odd | 20 | inner | |
175.2.x.a.108.17 | yes | 288 | 7.3 | odd | 6 | inner | |
175.2.x.a.122.17 | yes | 288 | 175.122 | even | 60 | inner | |
875.2.bb.a.243.17 | 288 | 25.4 | even | 10 | |||
875.2.bb.a.493.2 | 288 | 175.129 | odd | 30 | |||
875.2.bb.a.607.2 | 288 | 5.3 | odd | 4 | |||
875.2.bb.a.857.17 | 288 | 35.3 | even | 12 | |||
875.2.bb.b.243.2 | 288 | 25.21 | even | 5 | |||
875.2.bb.b.493.17 | 288 | 175.171 | odd | 30 | |||
875.2.bb.b.607.17 | 288 | 5.2 | odd | 4 | |||
875.2.bb.b.857.2 | 288 | 35.17 | even | 12 | |||
875.2.bb.c.143.2 | 288 | 35.24 | odd | 6 | |||
875.2.bb.c.257.2 | 288 | 25.3 | odd | 20 | |||
875.2.bb.c.507.2 | 288 | 175.3 | even | 60 | |||
875.2.bb.c.768.2 | 288 | 5.4 | even | 2 |