Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(11,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.u (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 83.2 | ||
Character | \(\chi\) | \(=\) | 144.83 |
Dual form | 144.2.u.a.59.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41340 | + | 0.0478411i | −0.999428 | + | 0.0338287i | ||||
\(3\) | 1.72804 | − | 0.117756i | 0.997686 | − | 0.0679864i | ||||
\(4\) | 1.99542 | − | 0.135238i | 0.997711 | − | 0.0676188i | ||||
\(5\) | −0.961558 | + | 3.58858i | −0.430022 | + | 1.60486i | 0.322684 | + | 0.946507i | \(0.395415\pi\) |
−0.752706 | + | 0.658357i | \(0.771252\pi\) | |||||||
\(6\) | −2.43679 | + | 0.249108i | −0.994815 | + | 0.101698i | ||||
\(7\) | −1.29216 | + | 2.23809i | −0.488391 | + | 0.845919i | −0.999911 | − | 0.0133531i | \(-0.995749\pi\) |
0.511520 | + | 0.859272i | \(0.329083\pi\) | |||||||
\(8\) | −2.81387 | + | 0.286608i | −0.994853 | + | 0.101331i | ||||
\(9\) | 2.97227 | − | 0.406975i | 0.990756 | − | 0.135658i | ||||
\(10\) | 1.18739 | − | 5.11812i | 0.375485 | − | 1.61849i | ||||
\(11\) | −0.541286 | − | 2.02011i | −0.163204 | − | 0.609085i | −0.998262 | − | 0.0589240i | \(-0.981233\pi\) |
0.835059 | − | 0.550161i | \(-0.185434\pi\) | |||||||
\(12\) | 3.43225 | − | 0.468669i | 0.990806 | − | 0.135293i | ||||
\(13\) | 0.267433 | − | 0.998074i | 0.0741726 | − | 0.276816i | −0.918872 | − | 0.394556i | \(-0.870898\pi\) |
0.993044 | + | 0.117740i | \(0.0375650\pi\) | |||||||
\(14\) | 1.71927 | − | 3.22514i | 0.459495 | − | 0.861956i | ||||
\(15\) | −1.23904 | + | 6.31446i | −0.319918 | + | 1.63039i | ||||
\(16\) | 3.96342 | − | 0.539712i | 0.990855 | − | 0.134928i | ||||
\(17\) | 4.13788i | 1.00358i | 0.864988 | + | 0.501792i | \(0.167326\pi\) | ||||
−0.864988 | + | 0.501792i | \(0.832674\pi\) | |||||||
\(18\) | −4.18154 | + | 0.717416i | −0.985599 | + | 0.169097i | ||||
\(19\) | 2.49279 | − | 2.49279i | 0.571886 | − | 0.571886i | −0.360769 | − | 0.932655i | \(-0.617486\pi\) |
0.932655 | + | 0.360769i | \(0.117486\pi\) | |||||||
\(20\) | −1.43340 | + | 7.29078i | −0.320519 | + | 1.63027i | ||||
\(21\) | −1.96936 | + | 4.01968i | −0.429750 | + | 0.877165i | ||||
\(22\) | 0.861700 | + | 2.82933i | 0.183715 | + | 0.603215i | ||||
\(23\) | 7.01915 | − | 4.05251i | 1.46359 | − | 0.845006i | 0.464418 | − | 0.885616i | \(-0.346264\pi\) |
0.999175 | + | 0.0406102i | \(0.0129302\pi\) | |||||||
\(24\) | −4.82874 | + | 0.826622i | −0.985662 | + | 0.168733i | ||||
\(25\) | −7.62322 | − | 4.40127i | −1.52464 | − | 0.880253i | ||||
\(26\) | −0.330242 | + | 1.42348i | −0.0647658 | + | 0.279167i | ||||
\(27\) | 5.08828 | − | 1.05327i | 0.979240 | − | 0.202702i | ||||
\(28\) | −2.27574 | + | 4.64068i | −0.430074 | + | 0.877007i | ||||
\(29\) | −1.88218 | − | 7.02439i | −0.349512 | − | 1.30440i | −0.887252 | − | 0.461286i | \(-0.847388\pi\) |
0.537740 | − | 0.843111i | \(-0.319278\pi\) | |||||||
\(30\) | 1.44917 | − | 8.98416i | 0.264581 | − | 1.64028i | ||||
\(31\) | 2.03331 | − | 1.17393i | 0.365194 | − | 0.210845i | −0.306163 | − | 0.951979i | \(-0.599045\pi\) |
0.671357 | + | 0.741134i | \(0.265712\pi\) | |||||||
\(32\) | −5.57610 | + | 0.952446i | −0.985724 | + | 0.168370i | ||||
\(33\) | −1.17324 | − | 3.42709i | −0.204236 | − | 0.596580i | ||||
\(34\) | −0.197961 | − | 5.84850i | −0.0339500 | − | 1.00301i | ||||
\(35\) | −6.78909 | − | 6.78909i | −1.14757 | − | 1.14757i | ||||
\(36\) | 5.87589 | − | 1.21405i | 0.979315 | − | 0.202341i | ||||
\(37\) | −4.75590 | + | 4.75590i | −0.781865 | + | 0.781865i | −0.980145 | − | 0.198280i | \(-0.936464\pi\) |
0.198280 | + | 0.980145i | \(0.436464\pi\) | |||||||
\(38\) | −3.40407 | + | 3.64258i | −0.552212 | + | 0.590905i | ||||
\(39\) | 0.344607 | − | 1.75621i | 0.0551813 | − | 0.281218i | ||||
\(40\) | 1.67718 | − | 10.3734i | 0.265185 | − | 1.64018i | ||||
\(41\) | −0.636217 | − | 1.10196i | −0.0993604 | − | 0.172097i | 0.812060 | − | 0.583574i | \(-0.198346\pi\) |
−0.911420 | + | 0.411477i | \(0.865013\pi\) | |||||||
\(42\) | 2.59120 | − | 5.77564i | 0.399831 | − | 0.891201i | ||||
\(43\) | −1.45505 | + | 0.389880i | −0.221894 | + | 0.0594562i | −0.368053 | − | 0.929805i | \(-0.619975\pi\) |
0.146159 | + | 0.989261i | \(0.453309\pi\) | |||||||
\(44\) | −1.35329 | − | 3.95776i | −0.204016 | − | 0.596655i | ||||
\(45\) | −1.39754 | + | 11.0576i | −0.208334 | + | 1.64836i | ||||
\(46\) | −9.72701 | + | 6.06363i | −1.43417 | + | 0.894034i | ||||
\(47\) | 3.60814 | − | 6.24948i | 0.526301 | − | 0.911580i | −0.473230 | − | 0.880939i | \(-0.656912\pi\) |
0.999530 | − | 0.0306407i | \(-0.00975476\pi\) | |||||||
\(48\) | 6.78541 | − | 1.39936i | 0.979390 | − | 0.201981i | ||||
\(49\) | 0.160635 | + | 0.278228i | 0.0229479 | + | 0.0397469i | ||||
\(50\) | 10.9852 | + | 5.85607i | 1.55355 | + | 0.828173i | ||||
\(51\) | 0.487260 | + | 7.15044i | 0.0682301 | + | 1.00126i | ||||
\(52\) | 0.398665 | − | 2.02775i | 0.0552849 | − | 0.281198i | ||||
\(53\) | −0.546616 | − | 0.546616i | −0.0750835 | − | 0.0750835i | 0.668568 | − | 0.743651i | \(-0.266908\pi\) |
−0.743651 | + | 0.668568i | \(0.766908\pi\) | |||||||
\(54\) | −7.14141 | + | 1.73213i | −0.971823 | + | 0.235713i | ||||
\(55\) | 7.76980 | 1.04768 | ||||||||
\(56\) | 2.99452 | − | 6.66804i | 0.400159 | − | 0.891054i | ||||
\(57\) | 4.01411 | − | 4.60119i | 0.531682 | − | 0.609443i | ||||
\(58\) | 2.99634 | + | 9.83826i | 0.393438 | + | 1.29183i | ||||
\(59\) | −8.00411 | − | 2.14469i | −1.04205 | − | 0.279215i | −0.303085 | − | 0.952963i | \(-0.598017\pi\) |
−0.738961 | + | 0.673748i | \(0.764683\pi\) | |||||||
\(60\) | −1.61845 | + | 12.7676i | −0.208941 | + | 1.64829i | ||||
\(61\) | −6.77407 | + | 1.81511i | −0.867331 | + | 0.232401i | −0.664933 | − | 0.746903i | \(-0.731540\pi\) |
−0.202398 | + | 0.979303i | \(0.564873\pi\) | |||||||
\(62\) | −2.81773 | + | 1.75652i | −0.357852 | + | 0.223078i | ||||
\(63\) | −2.92980 | + | 7.17808i | −0.369121 | + | 0.904353i | ||||
\(64\) | 7.83571 | − | 1.61296i | 0.979464 | − | 0.201620i | ||||
\(65\) | 3.32452 | + | 1.91941i | 0.412356 | + | 0.238074i | ||||
\(66\) | 1.82222 | + | 4.78774i | 0.224300 | + | 0.589330i | ||||
\(67\) | −2.80643 | − | 0.751980i | −0.342860 | − | 0.0918690i | 0.0832804 | − | 0.996526i | \(-0.473460\pi\) |
−0.426140 | + | 0.904657i | \(0.640127\pi\) | |||||||
\(68\) | 0.559597 | + | 8.25682i | 0.0678611 | + | 1.00129i | ||||
\(69\) | 11.6522 | − | 7.82945i | 1.40276 | − | 0.942555i | ||||
\(70\) | 9.92052 | + | 9.27093i | 1.18573 | + | 1.10809i | ||||
\(71\) | 6.59449i | 0.782622i | 0.920258 | + | 0.391311i | \(0.127978\pi\) | ||||
−0.920258 | + | 0.391311i | \(0.872022\pi\) | |||||||
\(72\) | −8.24693 | + | 1.99705i | −0.971910 | + | 0.235355i | ||||
\(73\) | 8.78699i | 1.02844i | 0.857658 | + | 0.514220i | \(0.171918\pi\) | ||||
−0.857658 | + | 0.514220i | \(0.828082\pi\) | |||||||
\(74\) | 6.49448 | − | 6.94954i | 0.754968 | − | 0.807867i | ||||
\(75\) | −13.6915 | − | 6.70790i | −1.58096 | − | 0.774562i | ||||
\(76\) | 4.63706 | − | 5.31129i | 0.531907 | − | 0.609247i | ||||
\(77\) | 5.22061 | + | 1.39886i | 0.594944 | + | 0.159415i | ||||
\(78\) | −0.403050 | + | 2.49872i | −0.0456364 | + | 0.282924i | ||||
\(79\) | −5.64940 | − | 3.26168i | −0.635607 | − | 0.366968i | 0.147313 | − | 0.989090i | \(-0.452937\pi\) |
−0.782920 | + | 0.622122i | \(0.786271\pi\) | |||||||
\(80\) | −1.87426 | + | 14.7420i | −0.209549 | + | 1.64821i | ||||
\(81\) | 8.66874 | − | 2.41928i | 0.963194 | − | 0.268808i | ||||
\(82\) | 0.951950 | + | 1.52708i | 0.105125 | + | 0.168637i | ||||
\(83\) | 7.71754 | − | 2.06791i | 0.847110 | − | 0.226982i | 0.190946 | − | 0.981601i | \(-0.438845\pi\) |
0.656164 | + | 0.754618i | \(0.272178\pi\) | |||||||
\(84\) | −3.38610 | + | 8.28728i | −0.369454 | + | 0.904217i | ||||
\(85\) | −14.8491 | − | 3.97882i | −1.61062 | − | 0.431563i | ||||
\(86\) | 2.03793 | − | 0.620670i | 0.219755 | − | 0.0669286i | ||||
\(87\) | −4.07965 | − | 11.9168i | −0.437385 | − | 1.27762i | ||||
\(88\) | 2.10209 | + | 5.52918i | 0.224083 | + | 0.589412i | ||||
\(89\) | 14.1938 | 1.50454 | 0.752272 | − | 0.658852i | \(-0.228958\pi\) | ||||
0.752272 | + | 0.658852i | \(0.228958\pi\) | |||||||
\(90\) | 1.44629 | − | 15.6957i | 0.152452 | − | 1.65447i | ||||
\(91\) | 1.88821 | + | 1.88821i | 0.197939 | + | 0.197939i | ||||
\(92\) | 13.4581 | − | 9.03571i | 1.40311 | − | 0.942038i | ||||
\(93\) | 3.37542 | − | 2.26805i | 0.350015 | − | 0.235185i | ||||
\(94\) | −4.80077 | + | 9.00565i | −0.495162 | + | 0.928862i | ||||
\(95\) | 6.54863 | + | 11.3426i | 0.671875 | + | 1.16372i | ||||
\(96\) | −9.52358 | + | 2.30249i | −0.971996 | + | 0.234996i | ||||
\(97\) | 6.54551 | − | 11.3372i | 0.664596 | − | 1.15111i | −0.314799 | − | 0.949158i | \(-0.601937\pi\) |
0.979395 | − | 0.201955i | \(-0.0647295\pi\) | |||||||
\(98\) | −0.240353 | − | 0.385564i | −0.0242793 | − | 0.0389478i | ||||
\(99\) | −2.43098 | − | 5.78401i | −0.244322 | − | 0.581314i | ||||
\(100\) | −15.8068 | − | 7.75144i | −1.58068 | − | 0.775144i | ||||
\(101\) | −3.94498 | + | 1.05705i | −0.392540 | + | 0.105181i | −0.449690 | − | 0.893185i | \(-0.648465\pi\) |
0.0571499 | + | 0.998366i | \(0.481799\pi\) | |||||||
\(102\) | −1.03078 | − | 10.0832i | −0.102062 | − | 0.998381i | ||||
\(103\) | 2.22868 | + | 3.86019i | 0.219599 | + | 0.380356i | 0.954685 | − | 0.297617i | \(-0.0961918\pi\) |
−0.735087 | + | 0.677973i | \(0.762859\pi\) | |||||||
\(104\) | −0.466465 | + | 2.88510i | −0.0457407 | + | 0.282907i | ||||
\(105\) | −12.5313 | − | 10.9324i | −1.22293 | − | 1.06689i | ||||
\(106\) | 0.798740 | + | 0.746439i | 0.0775805 | + | 0.0725005i | ||||
\(107\) | −4.01417 | + | 4.01417i | −0.388064 | + | 0.388064i | −0.873996 | − | 0.485932i | \(-0.838480\pi\) |
0.485932 | + | 0.873996i | \(0.338480\pi\) | |||||||
\(108\) | 10.0108 | − | 2.78985i | 0.963293 | − | 0.268453i | ||||
\(109\) | −6.84996 | − | 6.84996i | −0.656107 | − | 0.656107i | 0.298349 | − | 0.954457i | \(-0.403564\pi\) |
−0.954457 | + | 0.298349i | \(0.903564\pi\) | |||||||
\(110\) | −10.9819 | + | 0.371716i | −1.04708 | + | 0.0354417i | ||||
\(111\) | −7.65837 | + | 8.77844i | −0.726900 | + | 0.833212i | ||||
\(112\) | −3.91346 | + | 9.56789i | −0.369787 | + | 0.904081i | ||||
\(113\) | −7.97546 | + | 4.60464i | −0.750268 | + | 0.433168i | −0.825791 | − | 0.563976i | \(-0.809271\pi\) |
0.0755225 | + | 0.997144i | \(0.475938\pi\) | |||||||
\(114\) | −5.45344 | + | 6.69539i | −0.510761 | + | 0.627080i | ||||
\(115\) | 7.79344 | + | 29.0855i | 0.726742 | + | 2.71224i | ||||
\(116\) | −4.70571 | − | 13.7621i | −0.436914 | − | 1.27778i | ||||
\(117\) | 0.388692 | − | 3.07538i | 0.0359346 | − | 0.284319i | ||||
\(118\) | 11.4156 | + | 2.64840i | 1.05090 | + | 0.243805i | ||||
\(119\) | −9.26095 | − | 5.34681i | −0.848950 | − | 0.490142i | ||||
\(120\) | 1.67671 | − | 18.1232i | 0.153062 | − | 1.65441i | ||||
\(121\) | 5.73844 | − | 3.31309i | 0.521676 | − | 0.301190i | ||||
\(122\) | 9.48767 | − | 2.88956i | 0.858973 | − | 0.261608i | ||||
\(123\) | −1.22917 | − | 1.82932i | −0.110831 | − | 0.164944i | ||||
\(124\) | 3.89856 | − | 2.61748i | 0.350101 | − | 0.235056i | ||||
\(125\) | 9.98936 | − | 9.98936i | 0.893475 | − | 0.893475i | ||||
\(126\) | 3.79759 | − | 10.2857i | 0.338316 | − | 0.916322i | ||||
\(127\) | − | 4.75792i | − | 0.422197i | −0.977465 | − | 0.211099i | \(-0.932296\pi\) | ||
0.977465 | − | 0.211099i | \(-0.0677041\pi\) | |||||||
\(128\) | −10.9979 | + | 2.65463i | −0.972083 | + | 0.234638i | ||||
\(129\) | −2.46849 | + | 0.845072i | −0.217338 | + | 0.0744044i | ||||
\(130\) | −4.79072 | − | 2.55386i | −0.420174 | − | 0.223988i | ||||
\(131\) | 2.24125 | − | 8.36446i | 0.195819 | − | 0.730806i | −0.796234 | − | 0.604988i | \(-0.793178\pi\) |
0.992053 | − | 0.125818i | \(-0.0401555\pi\) | |||||||
\(132\) | −2.80459 | − | 6.67983i | −0.244108 | − | 0.581404i | ||||
\(133\) | 2.35800 | + | 8.80019i | 0.204465 | + | 0.763073i | ||||
\(134\) | 4.00259 | + | 0.928589i | 0.345771 | + | 0.0802179i | ||||
\(135\) | −1.11292 | + | 19.2725i | −0.0957853 | + | 1.65871i | ||||
\(136\) | −1.18595 | − | 11.6435i | −0.101695 | − | 0.998418i | ||||
\(137\) | −8.29570 | + | 14.3686i | −0.708750 | + | 1.22759i | 0.256571 | + | 0.966525i | \(0.417407\pi\) |
−0.965321 | + | 0.261065i | \(0.915926\pi\) | |||||||
\(138\) | −16.0947 | + | 11.6236i | −1.37007 | + | 0.989469i | ||||
\(139\) | 1.84191 | − | 6.87408i | 0.156228 | − | 0.583052i | −0.842769 | − | 0.538276i | \(-0.819076\pi\) |
0.998997 | − | 0.0447763i | \(-0.0142575\pi\) | |||||||
\(140\) | −14.4652 | − | 12.6290i | −1.22254 | − | 1.06734i | ||||
\(141\) | 5.49910 | − | 11.2242i | 0.463108 | − | 0.945252i | ||||
\(142\) | −0.315488 | − | 9.32068i | −0.0264751 | − | 0.782174i | ||||
\(143\) | −2.16097 | −0.180710 | ||||||||
\(144\) | 11.5607 | − | 3.21718i | 0.963392 | − | 0.268098i | ||||
\(145\) | 27.0175 | 2.24368 | ||||||||
\(146\) | −0.420379 | − | 12.4196i | −0.0347908 | − | 1.02785i | ||||
\(147\) | 0.310347 | + | 0.461874i | 0.0255970 | + | 0.0380948i | ||||
\(148\) | −8.84685 | + | 10.1332i | −0.727207 | + | 0.832944i | ||||
\(149\) | 0.969882 | − | 3.61965i | 0.0794558 | − | 0.296533i | −0.914751 | − | 0.404018i | \(-0.867613\pi\) |
0.994207 | + | 0.107485i | \(0.0342798\pi\) | |||||||
\(150\) | 19.6726 | + | 8.82596i | 1.60626 | + | 0.720636i | ||||
\(151\) | 1.35324 | − | 2.34389i | 0.110125 | − | 0.190743i | −0.805695 | − | 0.592330i | \(-0.798208\pi\) |
0.915821 | + | 0.401588i | \(0.131541\pi\) | |||||||
\(152\) | −6.29993 | + | 7.72885i | −0.510992 | + | 0.626892i | ||||
\(153\) | 1.68401 | + | 12.2989i | 0.136144 | + | 0.994307i | ||||
\(154\) | −7.44575 | − | 1.72739i | −0.599996 | − | 0.139197i | ||||
\(155\) | 2.25761 | + | 8.42553i | 0.181336 | + | 0.676755i | ||||
\(156\) | 0.450131 | − | 3.55098i | 0.0360393 | − | 0.284306i | ||||
\(157\) | −1.28460 | + | 4.79418i | −0.102522 | + | 0.382617i | −0.998052 | − | 0.0623832i | \(-0.980130\pi\) |
0.895530 | + | 0.445001i | \(0.146797\pi\) | |||||||
\(158\) | 8.14093 | + | 4.33980i | 0.647657 | + | 0.345256i | ||||
\(159\) | −1.00894 | − | 0.880209i | −0.0800144 | − | 0.0698051i | ||||
\(160\) | 1.94381 | − | 20.9261i | 0.153672 | − | 1.65436i | ||||
\(161\) | 20.9460i | 1.65077i | ||||||||
\(162\) | −12.1367 | + | 3.83414i | −0.953549 | + | 0.301238i | ||||
\(163\) | −8.40242 | + | 8.40242i | −0.658129 | + | 0.658129i | −0.954937 | − | 0.296808i | \(-0.904078\pi\) |
0.296808 | + | 0.954937i | \(0.404078\pi\) | |||||||
\(164\) | −1.41855 | − | 2.11283i | −0.110770 | − | 0.164985i | ||||
\(165\) | 13.4266 | − | 0.914940i | 1.04526 | − | 0.0712280i | ||||
\(166\) | −10.8091 | + | 3.29200i | −0.838946 | + | 0.255509i | ||||
\(167\) | −7.11596 | + | 4.10840i | −0.550650 | + | 0.317918i | −0.749384 | − | 0.662136i | \(-0.769650\pi\) |
0.198734 | + | 0.980053i | \(0.436317\pi\) | |||||||
\(168\) | 4.38946 | − | 11.8753i | 0.338654 | − | 0.916197i | ||||
\(169\) | 10.3337 | + | 5.96616i | 0.794900 | + | 0.458936i | ||||
\(170\) | 21.1782 | + | 4.91328i | 1.62429 | + | 0.376831i | ||||
\(171\) | 6.39474 | − | 8.42375i | 0.489018 | − | 0.644180i | ||||
\(172\) | −2.85072 | + | 0.974754i | −0.217365 | + | 0.0743243i | ||||
\(173\) | 6.66438 | + | 24.8718i | 0.506683 | + | 1.89097i | 0.451012 | + | 0.892518i | \(0.351063\pi\) |
0.0556715 | + | 0.998449i | \(0.482270\pi\) | |||||||
\(174\) | 6.33631 | + | 16.6481i | 0.480355 | + | 1.26209i | ||||
\(175\) | 19.7009 | − | 11.3743i | 1.48925 | − | 0.859816i | ||||
\(176\) | −3.23562 | − | 7.71439i | −0.243894 | − | 0.581494i | ||||
\(177\) | −14.0840 | − | 2.76359i | −1.05862 | − | 0.207724i | ||||
\(178\) | −20.0616 | + | 0.679049i | −1.50368 | + | 0.0508969i | ||||
\(179\) | −14.5908 | − | 14.5908i | −1.09057 | − | 1.09057i | −0.995467 | − | 0.0951034i | \(-0.969682\pi\) |
−0.0951034 | − | 0.995467i | \(-0.530318\pi\) | |||||||
\(180\) | −1.29330 | + | 22.2535i | −0.0963965 | + | 1.65868i | ||||
\(181\) | 8.19403 | − | 8.19403i | 0.609057 | − | 0.609057i | −0.333642 | − | 0.942700i | \(-0.608278\pi\) |
0.942700 | + | 0.333642i | \(0.108278\pi\) | |||||||
\(182\) | −2.75914 | − | 2.57847i | −0.204521 | − | 0.191129i | ||||
\(183\) | −11.4922 | + | 3.93427i | −0.849524 | + | 0.290830i | ||||
\(184\) | −18.5895 | + | 13.4150i | −1.37043 | + | 0.988964i | ||||
\(185\) | −12.4939 | − | 21.6400i | −0.918568 | − | 1.59101i | ||||
\(186\) | −4.66232 | + | 3.36715i | −0.341858 | + | 0.246891i | ||||
\(187\) | 8.35896 | − | 2.23978i | 0.611268 | − | 0.163789i | ||||
\(188\) | 6.35459 | − | 12.9583i | 0.463456 | − | 0.945081i | ||||
\(189\) | −4.21757 | + | 12.7490i | −0.306783 | + | 0.927356i | ||||
\(190\) | −9.79850 | − | 15.7183i | −0.710858 | − | 1.14033i | ||||
\(191\) | 2.80582 | − | 4.85981i | 0.203022 | − | 0.351644i | −0.746479 | − | 0.665409i | \(-0.768257\pi\) |
0.949501 | + | 0.313765i | \(0.101590\pi\) | |||||||
\(192\) | 13.3505 | − | 3.70996i | 0.963490 | − | 0.267743i | ||||
\(193\) | −12.5728 | − | 21.7767i | −0.905008 | − | 1.56752i | −0.820906 | − | 0.571063i | \(-0.806531\pi\) |
−0.0841024 | − | 0.996457i | \(-0.526802\pi\) | |||||||
\(194\) | −8.70907 | + | 16.3371i | −0.625274 | + | 1.17294i | ||||
\(195\) | 5.97094 | + | 2.92535i | 0.427588 | + | 0.209488i | ||||
\(196\) | 0.358162 | + | 0.533459i | 0.0255830 | + | 0.0381042i | ||||
\(197\) | −4.31684 | − | 4.31684i | −0.307562 | − | 0.307562i | 0.536401 | − | 0.843963i | \(-0.319784\pi\) |
−0.843963 | + | 0.536401i | \(0.819784\pi\) | |||||||
\(198\) | 3.71267 | + | 8.05884i | 0.263848 | + | 0.572717i | ||||
\(199\) | −14.6645 | −1.03954 | −0.519769 | − | 0.854307i | \(-0.673982\pi\) | ||||
−0.519769 | + | 0.854307i | \(0.673982\pi\) | |||||||
\(200\) | 22.7122 | + | 10.1997i | 1.60599 | + | 0.721228i | ||||
\(201\) | −4.93818 | − | 0.968981i | −0.348312 | − | 0.0683466i | ||||
\(202\) | 5.52527 | − | 1.68277i | 0.388757 | − | 0.118400i | ||||
\(203\) | 18.1533 | + | 4.86416i | 1.27411 | + | 0.341397i | ||||
\(204\) | 1.93930 | + | 14.2023i | 0.135778 | + | 0.994357i | ||||
\(205\) | 4.56624 | − | 1.22352i | 0.318920 | − | 0.0854543i | ||||
\(206\) | −3.33471 | − | 5.34939i | −0.232340 | − | 0.372710i | ||||
\(207\) | 19.2135 | − | 14.9017i | 1.33543 | − | 1.03574i | ||||
\(208\) | 0.521278 | − | 4.10013i | 0.0361441 | − | 0.284293i | ||||
\(209\) | −6.38502 | − | 3.68639i | −0.441661 | − | 0.254993i | ||||
\(210\) | 18.2348 | + | 14.8524i | 1.25832 | + | 1.02491i | ||||
\(211\) | −2.25661 | − | 0.604656i | −0.155351 | − | 0.0416263i | 0.180305 | − | 0.983611i | \(-0.442291\pi\) |
−0.335656 | + | 0.941984i | \(0.608958\pi\) | |||||||
\(212\) | −1.16465 | − | 1.01681i | −0.0799887 | − | 0.0698346i | ||||
\(213\) | 0.776541 | + | 11.3956i | 0.0532077 | + | 0.780812i | ||||
\(214\) | 5.48160 | − | 5.86568i | 0.374714 | − | 0.400970i | ||||
\(215\) | − | 5.59648i | − | 0.381677i | ||||||
\(216\) | −14.0159 | + | 4.42211i | −0.953660 | + | 0.300887i | ||||
\(217\) | 6.06766i | 0.411899i | ||||||||
\(218\) | 10.0095 | + | 9.35406i | 0.677927 | + | 0.633537i | ||||
\(219\) | 1.03472 | + | 15.1843i | 0.0699200 | + | 1.02606i | ||||
\(220\) | 15.5040 | − | 1.05077i | 1.04528 | − | 0.0708428i | ||||
\(221\) | 4.12991 | + | 1.10661i | 0.277808 | + | 0.0744385i | ||||
\(222\) | 10.4044 | − | 12.7739i | 0.698297 | − | 0.857326i | ||||
\(223\) | −24.9105 | − | 14.3821i | −1.66813 | − | 0.963094i | −0.968646 | − | 0.248445i | \(-0.920081\pi\) |
−0.699483 | − | 0.714650i | \(-0.746586\pi\) | |||||||
\(224\) | 5.07356 | − | 13.7105i | 0.338992 | − | 0.916073i | ||||
\(225\) | −24.4494 | − | 9.97928i | −1.62996 | − | 0.665286i | ||||
\(226\) | 11.0523 | − | 6.88976i | 0.735185 | − | 0.458300i | ||||
\(227\) | −8.06995 | + | 2.16234i | −0.535621 | + | 0.143519i | −0.516483 | − | 0.856298i | \(-0.672759\pi\) |
−0.0191384 | + | 0.999817i | \(0.506092\pi\) | |||||||
\(228\) | 7.38760 | − | 9.72419i | 0.489255 | − | 0.644000i | ||||
\(229\) | 18.5393 | + | 4.96759i | 1.22511 | + | 0.328268i | 0.812674 | − | 0.582718i | \(-0.198011\pi\) |
0.412438 | + | 0.910986i | \(0.364677\pi\) | |||||||
\(230\) | −12.4068 | − | 40.7367i | −0.818078 | − | 2.68610i | ||||
\(231\) | 9.18616 | + | 1.80253i | 0.604405 | + | 0.118598i | ||||
\(232\) | 7.30946 | + | 19.2263i | 0.479889 | + | 1.26227i | ||||
\(233\) | −2.96265 | −0.194090 | −0.0970450 | − | 0.995280i | \(-0.530939\pi\) | ||||
−0.0970450 | + | 0.995280i | \(0.530939\pi\) | |||||||
\(234\) | −0.402249 | + | 4.36535i | −0.0262958 | + | 0.285372i | ||||
\(235\) | 18.9573 | + | 18.9573i | 1.23664 | + | 1.23664i | ||||
\(236\) | −16.2616 | − | 3.19712i | −1.05854 | − | 0.208115i | ||||
\(237\) | −10.1465 | − | 4.97108i | −0.659085 | − | 0.322906i | ||||
\(238\) | 13.3453 | + | 7.11416i | 0.865045 | + | 0.461142i | ||||
\(239\) | 5.14390 | + | 8.90950i | 0.332731 | + | 0.576307i | 0.983046 | − | 0.183357i | \(-0.0586965\pi\) |
−0.650315 | + | 0.759665i | \(0.725363\pi\) | |||||||
\(240\) | −1.50284 | + | 25.6956i | −0.0970078 | + | 1.65864i | ||||
\(241\) | −12.8722 | + | 22.2954i | −0.829173 | + | 1.43617i | 0.0695144 | + | 0.997581i | \(0.477855\pi\) |
−0.898688 | + | 0.438589i | \(0.855478\pi\) | |||||||
\(242\) | −7.95223 | + | 4.95727i | −0.511189 | + | 0.318665i | ||||
\(243\) | 14.6951 | − | 5.20141i | 0.942690 | − | 0.333671i | ||||
\(244\) | −13.2717 | + | 4.53801i | −0.849631 | + | 0.290517i | ||||
\(245\) | −1.15290 | + | 0.308920i | −0.0736564 | + | 0.0197362i | ||||
\(246\) | 1.82483 | + | 2.52676i | 0.116347 | + | 0.161100i | ||||
\(247\) | −1.82134 | − | 3.15465i | −0.115889 | − | 0.200725i | ||||
\(248\) | −5.38502 | + | 3.88606i | −0.341949 | + | 0.246765i | ||||
\(249\) | 13.0927 | − | 4.48222i | 0.829718 | − | 0.284049i | ||||
\(250\) | −13.6411 | + | 14.5969i | −0.862739 | + | 0.923189i | ||||
\(251\) | −16.7668 | + | 16.7668i | −1.05831 | + | 1.05831i | −0.0601228 | + | 0.998191i | \(0.519149\pi\) |
−0.998191 | + | 0.0601228i | \(0.980851\pi\) | |||||||
\(252\) | −4.87545 | + | 14.7195i | −0.307125 | + | 0.927243i | ||||
\(253\) | −11.9859 | − | 11.9859i | −0.753544 | − | 0.753544i | ||||
\(254\) | 0.227624 | + | 6.72487i | 0.0142824 | + | 0.421956i | ||||
\(255\) | −26.1285 | − | 5.12699i | −1.63623 | − | 0.321065i | ||||
\(256\) | 15.4174 | − | 4.27821i | 0.963589 | − | 0.267388i | ||||
\(257\) | −6.74821 | + | 3.89608i | −0.420942 | + | 0.243031i | −0.695480 | − | 0.718545i | \(-0.744808\pi\) |
0.274538 | + | 0.961576i | \(0.411475\pi\) | |||||||
\(258\) | 3.44854 | − | 1.31252i | 0.214697 | − | 0.0817141i | ||||
\(259\) | −4.49874 | − | 16.7895i | −0.279538 | − | 1.04325i | ||||
\(260\) | 6.89340 | + | 3.38044i | 0.427511 | + | 0.209646i | ||||
\(261\) | −8.45309 | − | 20.1124i | −0.523233 | − | 1.24492i | ||||
\(262\) | −2.76763 | + | 11.9296i | −0.170985 | + | 0.737012i | ||||
\(263\) | 12.3513 | + | 7.13103i | 0.761615 | + | 0.439718i | 0.829875 | − | 0.557949i | \(-0.188412\pi\) |
−0.0682606 | + | 0.997668i | \(0.521745\pi\) | |||||||
\(264\) | 4.28359 | + | 9.30712i | 0.263637 | + | 0.572814i | ||||
\(265\) | 2.48718 | − | 1.43597i | 0.152786 | − | 0.0882112i | ||||
\(266\) | −3.75382 | − | 12.3254i | −0.230162 | − | 0.755719i | ||||
\(267\) | 24.5276 | − | 1.67141i | 1.50106 | − | 0.102289i | ||||
\(268\) | −5.70171 | − | 1.12098i | −0.348287 | − | 0.0684750i | ||||
\(269\) | 1.70265 | − | 1.70265i | 0.103812 | − | 0.103812i | −0.653293 | − | 0.757105i | \(-0.726613\pi\) |
0.757105 | + | 0.653293i | \(0.226613\pi\) | |||||||
\(270\) | 0.650994 | − | 27.2931i | 0.0396182 | − | 1.66100i | ||||
\(271\) | − | 9.55642i | − | 0.580511i | −0.956949 | − | 0.290256i | \(-0.906260\pi\) | ||
0.956949 | − | 0.290256i | \(-0.0937403\pi\) | |||||||
\(272\) | 2.23326 | + | 16.4002i | 0.135412 | + | 0.994407i | ||||
\(273\) | 3.48526 | + | 3.04057i | 0.210938 | + | 0.184023i | ||||
\(274\) | 11.0378 | − | 20.7055i | 0.666816 | − | 1.25086i | ||||
\(275\) | −4.76469 | + | 17.7821i | −0.287321 | + | 1.07230i | ||||
\(276\) | 22.1922 | − | 17.1989i | 1.33581 | − | 1.03525i | ||||
\(277\) | 0.571577 | + | 2.13315i | 0.0343427 | + | 0.128169i | 0.980969 | − | 0.194164i | \(-0.0621995\pi\) |
−0.946626 | + | 0.322333i | \(0.895533\pi\) | |||||||
\(278\) | −2.27449 | + | 9.80398i | −0.136415 | + | 0.588003i | ||||
\(279\) | 5.56579 | − | 4.31676i | 0.333215 | − | 0.258437i | ||||
\(280\) | 21.0494 | + | 17.1578i | 1.25794 | + | 1.02537i | ||||
\(281\) | −8.26158 | + | 14.3095i | −0.492845 | + | 0.853632i | −0.999966 | − | 0.00824250i | \(-0.997376\pi\) |
0.507121 | + | 0.861875i | \(0.330710\pi\) | |||||||
\(282\) | −7.23548 | + | 16.1275i | −0.430866 | + | 0.960377i | ||||
\(283\) | −1.95433 | + | 7.29366i | −0.116173 | + | 0.433563i | −0.999372 | − | 0.0354353i | \(-0.988718\pi\) |
0.883199 | + | 0.468998i | \(0.155385\pi\) | |||||||
\(284\) | 0.891823 | + | 13.1588i | 0.0529200 | + | 0.780831i | ||||
\(285\) | 12.6520 | + | 18.8293i | 0.749438 | + | 1.11535i | ||||
\(286\) | 3.05433 | − | 0.103383i | 0.180606 | − | 0.00611318i | ||||
\(287\) | 3.28838 | 0.194107 | ||||||||
\(288\) | −16.1860 | + | 5.10025i | −0.953771 | + | 0.300535i | ||||
\(289\) | −0.122073 | −0.00718078 | ||||||||
\(290\) | −38.1866 | + | 1.29254i | −2.24239 | + | 0.0759008i | ||||
\(291\) | 9.97590 | − | 20.3619i | 0.584798 | − | 1.19363i | ||||
\(292\) | 1.18833 | + | 17.5338i | 0.0695418 | + | 1.02609i | ||||
\(293\) | 6.12613 | − | 22.8630i | 0.357892 | − | 1.33567i | −0.518913 | − | 0.854827i | \(-0.673663\pi\) |
0.876805 | − | 0.480845i | \(-0.159670\pi\) | |||||||
\(294\) | −0.460743 | − | 0.637968i | −0.0268711 | − | 0.0372070i | ||||
\(295\) | 15.3928 | − | 26.6612i | 0.896206 | − | 1.55227i | ||||
\(296\) | 12.0194 | − | 14.7456i | 0.698613 | − | 0.857068i | ||||
\(297\) | −4.88194 | − | 9.70875i | −0.283279 | − | 0.563359i | ||||
\(298\) | −1.19767 | + | 5.16243i | −0.0693790 | + | 0.299051i | ||||
\(299\) | −2.16755 | − | 8.08940i | −0.125353 | − | 0.467822i | ||||
\(300\) | −28.2275 | − | 11.5335i | −1.62972 | − | 0.665886i | ||||
\(301\) | 1.00758 | − | 3.76033i | 0.0580758 | − | 0.216742i | ||||
\(302\) | −1.80055 | + | 3.37760i | −0.103610 | + | 0.194359i | ||||
\(303\) | −6.69261 | + | 2.29118i | −0.384481 | + | 0.131625i | ||||
\(304\) | 8.53460 | − | 11.2254i | 0.489493 | − | 0.643820i | ||||
\(305\) | − | 26.0547i | − | 1.49189i | ||||||
\(306\) | −2.96858 | − | 17.3027i | −0.169703 | − | 0.989132i | ||||
\(307\) | 12.9528 | − | 12.9528i | 0.739255 | − | 0.739255i | −0.233179 | − | 0.972434i | \(-0.574913\pi\) |
0.972434 | + | 0.233179i | \(0.0749129\pi\) | |||||||
\(308\) | 10.6065 | + | 2.08529i | 0.604361 | + | 0.118820i | ||||
\(309\) | 4.30582 | + | 6.40814i | 0.244950 | + | 0.364546i | ||||
\(310\) | −3.59401 | − | 11.8007i | −0.204126 | − | 0.670233i | ||||
\(311\) | −3.74301 | + | 2.16103i | −0.212247 | + | 0.122541i | −0.602355 | − | 0.798228i | \(-0.705771\pi\) |
0.390108 | + | 0.920769i | \(0.372438\pi\) | |||||||
\(312\) | −0.466335 | + | 5.04050i | −0.0264010 | + | 0.285362i | ||||
\(313\) | −13.7859 | − | 7.95932i | −0.779228 | − | 0.449887i | 0.0569286 | − | 0.998378i | \(-0.481869\pi\) |
−0.836157 | + | 0.548491i | \(0.815203\pi\) | |||||||
\(314\) | 1.58630 | − | 6.83757i | 0.0895199 | − | 0.385867i | ||||
\(315\) | −22.9420 | − | 17.4160i | −1.29263 | − | 0.981280i | ||||
\(316\) | −11.7140 | − | 5.74442i | −0.658966 | − | 0.323149i | ||||
\(317\) | −7.69292 | − | 28.7104i | −0.432077 | − | 1.61253i | −0.747965 | − | 0.663738i | \(-0.768969\pi\) |
0.315888 | − | 0.948797i | \(-0.397698\pi\) | |||||||
\(318\) | 1.46815 | + | 1.19582i | 0.0823300 | + | 0.0670584i | ||||
\(319\) | −13.1712 | + | 7.60441i | −0.737447 | + | 0.425765i | ||||
\(320\) | −1.74626 | + | 29.6701i | −0.0976190 | + | 1.65861i | ||||
\(321\) | −6.46396 | + | 7.40934i | −0.360783 | + | 0.413549i | ||||
\(322\) | −1.00208 | − | 29.6051i | −0.0558436 | − | 1.64983i | ||||
\(323\) | 10.3149 | + | 10.3149i | 0.573935 | + | 0.573935i | ||||
\(324\) | 16.9706 | − | 5.99982i | 0.942813 | − | 0.333323i | ||||
\(325\) | −6.43149 | + | 6.43149i | −0.356755 | + | 0.356755i | ||||
\(326\) | 11.4740 | − | 12.2780i | 0.635488 | − | 0.680016i | ||||
\(327\) | −12.6437 | − | 11.0304i | −0.699196 | − | 0.609983i | ||||
\(328\) | 2.10606 | + | 2.91842i | 0.116288 | + | 0.161143i | ||||
\(329\) | 9.32459 | + | 16.1507i | 0.514082 | + | 0.890415i | ||||
\(330\) | −18.9334 | + | 1.93552i | −1.04225 | + | 0.106547i | ||||
\(331\) | −1.90112 | + | 0.509403i | −0.104495 | + | 0.0279993i | −0.310688 | − | 0.950512i | \(-0.600559\pi\) |
0.206193 | + | 0.978511i | \(0.433893\pi\) | |||||||
\(332\) | 15.1201 | − | 5.17005i | 0.829823 | − | 0.283743i | ||||
\(333\) | −12.2003 | + | 16.0713i | −0.668571 | + | 0.880704i | ||||
\(334\) | 9.86118 | − | 6.14727i | 0.539580 | − | 0.336363i | ||||
\(335\) | 5.39709 | − | 9.34803i | 0.294874 | − | 0.510738i | ||||
\(336\) | −5.63595 | + | 16.9946i | −0.307466 | + | 0.927129i | ||||
\(337\) | 9.46585 | + | 16.3953i | 0.515638 | + | 0.893111i | 0.999835 | + | 0.0181522i | \(0.00577834\pi\) |
−0.484197 | + | 0.874959i | \(0.660888\pi\) | |||||||
\(338\) | −14.8911 | − | 7.93823i | −0.809970 | − | 0.431783i | ||||
\(339\) | −13.2397 | + | 8.89617i | −0.719083 | + | 0.483173i | ||||
\(340\) | −30.1684 | − | 5.93126i | −1.63611 | − | 0.321668i | ||||
\(341\) | −3.47208 | − | 3.47208i | −0.188024 | − | 0.188024i | ||||
\(342\) | −8.63535 | + | 12.2121i | −0.466946 | + | 0.660354i | ||||
\(343\) | −18.9205 | −1.02161 | ||||||||
\(344\) | 3.98259 | − | 1.51410i | 0.214727 | − | 0.0816350i | ||||
\(345\) | 16.8924 | + | 49.3433i | 0.909456 | + | 2.65655i | ||||
\(346\) | −10.6093 | − | 34.8351i | −0.570362 | − | 1.87274i | ||||
\(347\) | −3.06413 | − | 0.821032i | −0.164491 | − | 0.0440753i | 0.175634 | − | 0.984456i | \(-0.443803\pi\) |
−0.340125 | + | 0.940380i | \(0.610469\pi\) | |||||||
\(348\) | −9.75223 | − | 23.2274i | −0.522774 | − | 1.24512i | ||||
\(349\) | 15.9915 | − | 4.28490i | 0.856003 | − | 0.229365i | 0.195978 | − | 0.980608i | \(-0.437212\pi\) |
0.660026 | + | 0.751243i | \(0.270545\pi\) | |||||||
\(350\) | −27.3011 | + | 17.0190i | −1.45931 | + | 0.909703i | ||||
\(351\) | 0.309532 | − | 5.36016i | 0.0165216 | − | 0.286104i | ||||
\(352\) | 4.94230 | + | 10.7488i | 0.263426 | + | 0.572911i | ||||
\(353\) | 19.7145 | + | 11.3822i | 1.04930 | + | 0.605813i | 0.922453 | − | 0.386109i | \(-0.126181\pi\) |
0.126846 | + | 0.991922i | \(0.459514\pi\) | |||||||
\(354\) | 20.0386 | + | 3.23228i | 1.06504 | + | 0.171794i | ||||
\(355\) | −23.6649 | − | 6.34099i | −1.25600 | − | 0.336545i | ||||
\(356\) | 28.3227 | − | 1.91954i | 1.50110 | − | 0.101735i | ||||
\(357\) | −16.6329 | − | 8.14899i | −0.880309 | − | 0.431291i | ||||
\(358\) | 21.3208 | + | 19.9247i | 1.12684 | + | 1.05305i | ||||
\(359\) | 7.54182i | 0.398042i | 0.979995 | + | 0.199021i | \(0.0637762\pi\) | ||||
−0.979995 | + | 0.199021i | \(0.936224\pi\) | |||||||
\(360\) | 0.763317 | − | 31.5151i | 0.0402303 | − | 1.66099i | ||||
\(361\) | 6.57197i | 0.345893i | ||||||||
\(362\) | −11.1895 | + | 11.9735i | −0.588105 | + | 0.629312i | ||||
\(363\) | 9.52614 | − | 6.40090i | 0.499993 | − | 0.335960i | ||||
\(364\) | 4.02314 | + | 3.51243i | 0.210870 | + | 0.184101i | ||||
\(365\) | −31.5329 | − | 8.44921i | −1.65051 | − | 0.442252i | ||||
\(366\) | 16.0548 | − | 6.11051i | 0.839200 | − | 0.319402i | ||||
\(367\) | 20.6334 | + | 11.9127i | 1.07706 | + | 0.621839i | 0.930101 | − | 0.367304i | \(-0.119719\pi\) |
0.146955 | + | 0.989143i | \(0.453053\pi\) | |||||||
\(368\) | 25.6326 | − | 19.8501i | 1.33619 | − | 1.03476i | ||||
\(369\) | −2.33948 | − | 3.01639i | −0.121788 | − | 0.157027i | ||||
\(370\) | 18.6942 | + | 29.9884i | 0.971864 | + | 1.55902i | ||||
\(371\) | 1.92969 | − | 0.517059i | 0.100185 | − | 0.0268444i | ||||
\(372\) | 6.42866 | − | 4.98219i | 0.333311 | − | 0.258315i | ||||
\(373\) | 8.84822 | + | 2.37087i | 0.458143 | + | 0.122759i | 0.480507 | − | 0.876991i | \(-0.340453\pi\) |
−0.0223639 | + | 0.999750i | \(0.507119\pi\) | |||||||
\(374\) | −11.7074 | + | 3.56561i | −0.605377 | + | 0.184373i | ||||
\(375\) | 16.0857 | − | 18.4383i | 0.830664 | − | 0.952152i | ||||
\(376\) | −8.36167 | + | 18.6193i | −0.431220 | + | 0.960218i | ||||
\(377\) | −7.51422 | −0.387002 | ||||||||
\(378\) | 5.35120 | − | 18.2213i | 0.275236 | − | 0.937203i | ||||
\(379\) | 0.636018 | + | 0.636018i | 0.0326701 | + | 0.0326701i | 0.723253 | − | 0.690583i | \(-0.242646\pi\) |
−0.690583 | + | 0.723253i | \(0.742646\pi\) | |||||||
\(380\) | 14.6012 | + | 21.7476i | 0.749027 | + | 1.11563i | ||||
\(381\) | −0.560274 | − | 8.22190i | −0.0287037 | − | 0.421220i | ||||
\(382\) | −3.73325 | + | 7.00311i | −0.191010 | + | 0.358311i | ||||
\(383\) | −6.80598 | − | 11.7883i | −0.347769 | − | 0.602354i | 0.638084 | − | 0.769967i | \(-0.279727\pi\) |
−0.985853 | + | 0.167613i | \(0.946394\pi\) | |||||||
\(384\) | −18.6922 | + | 5.88238i | −0.953881 | + | 0.300184i | ||||
\(385\) | −10.0398 | + | 17.3895i | −0.511678 | + | 0.886252i | ||||
\(386\) | 18.8122 | + | 30.1778i | 0.957518 | + | 1.53601i | ||||
\(387\) | −4.16614 | + | 1.75100i | −0.211777 | + | 0.0890083i | ||||
\(388\) | 11.5278 | − | 23.5076i | 0.585238 | − | 1.19342i | ||||
\(389\) | −8.00251 | + | 2.14427i | −0.405744 | + | 0.108719i | −0.455918 | − | 0.890022i | \(-0.650689\pi\) |
0.0501744 | + | 0.998740i | \(0.484022\pi\) | |||||||
\(390\) | −8.57930 | − | 3.84904i | −0.434430 | − | 0.194904i | ||||
\(391\) | 16.7688 | + | 29.0444i | 0.848034 | + | 1.46884i | ||||
\(392\) | −0.531748 | − | 0.736858i | −0.0268573 | − | 0.0372169i | ||||
\(393\) | 2.88801 | − | 14.7181i | 0.145681 | − | 0.742428i | ||||
\(394\) | 6.30797 | + | 5.89492i | 0.317791 | + | 0.296982i | ||||
\(395\) | 17.1370 | − | 17.1370i | 0.862258 | − | 0.862258i | ||||
\(396\) | −5.63304 | − | 11.2128i | −0.283071 | − | 0.563463i | ||||
\(397\) | −6.79264 | − | 6.79264i | −0.340913 | − | 0.340913i | 0.515798 | − | 0.856710i | \(-0.327496\pi\) |
−0.856710 | + | 0.515798i | \(0.827496\pi\) | |||||||
\(398\) | 20.7268 | − | 0.701565i | 1.03894 | − | 0.0351663i | ||||
\(399\) | 5.11101 | + | 14.9294i | 0.255870 | + | 0.747407i | ||||
\(400\) | −32.5894 | − | 13.3297i | −1.62947 | − | 0.666487i | ||||
\(401\) | 5.01378 | − | 2.89471i | 0.250376 | − | 0.144555i | −0.369560 | − | 0.929207i | \(-0.620492\pi\) |
0.619936 | + | 0.784652i | \(0.287158\pi\) | |||||||
\(402\) | 7.02600 | + | 1.13331i | 0.350425 | + | 0.0565245i | ||||
\(403\) | −0.627898 | − | 2.34335i | −0.0312778 | − | 0.116731i | ||||
\(404\) | −7.72894 | + | 2.64278i | −0.384529 | + | 0.131483i | ||||
\(405\) | 0.346272 | + | 33.4348i | 0.0172064 | + | 1.66139i | ||||
\(406\) | −25.8907 | − | 6.00655i | −1.28493 | − | 0.298100i | ||||
\(407\) | 12.1817 | + | 7.03312i | 0.603826 | + | 0.348619i | ||||
\(408\) | −3.42046 | − | 19.9807i | −0.169338 | − | 0.989194i | ||||
\(409\) | 11.5152 | − | 6.64832i | 0.569392 | − | 0.328738i | −0.187515 | − | 0.982262i | \(-0.560043\pi\) |
0.756906 | + | 0.653523i | \(0.226710\pi\) | |||||||
\(410\) | −6.39540 | + | 1.94778i | −0.315846 | + | 0.0961940i | ||||
\(411\) | −12.6434 | + | 25.8064i | −0.623650 | + | 1.27294i | ||||
\(412\) | 4.96921 | + | 7.40132i | 0.244815 | + | 0.364637i | ||||
\(413\) | 15.1426 | − | 15.1426i | 0.745120 | − | 0.745120i | ||||
\(414\) | −26.4435 | + | 21.9814i | −1.29963 | + | 1.08033i | ||||
\(415\) | 29.6834i | 1.45710i | ||||||||
\(416\) | −0.540622 | + | 5.82007i | −0.0265062 | + | 0.285353i | ||||
\(417\) | 2.37343 | − | 12.0956i | 0.116227 | − | 0.592325i | ||||
\(418\) | 9.20097 | + | 4.90490i | 0.450034 | + | 0.239906i | ||||
\(419\) | −3.29438 | + | 12.2948i | −0.160941 | + | 0.600639i | 0.837582 | + | 0.546311i | \(0.183968\pi\) |
−0.998523 | + | 0.0543282i | \(0.982698\pi\) | |||||||
\(420\) | −26.4837 | − | 20.1200i | −1.29227 | − | 0.981756i | ||||
\(421\) | 1.72149 | + | 6.42470i | 0.0839004 | + | 0.313121i | 0.995104 | − | 0.0988365i | \(-0.0315121\pi\) |
−0.911203 | + | 0.411957i | \(0.864845\pi\) | |||||||
\(422\) | 3.21843 | + | 0.746665i | 0.156671 | + | 0.0363471i | ||||
\(423\) | 8.18097 | − | 20.0435i | 0.397772 | − | 0.974550i | ||||
\(424\) | 1.69477 | + | 1.38144i | 0.0823053 | + | 0.0670887i | ||||
\(425\) | 18.2119 | − | 31.5440i | 0.883408 | − | 1.53011i | ||||
\(426\) | −1.64274 | − | 16.0694i | −0.0795911 | − | 0.778565i | ||||
\(427\) | 4.69083 | − | 17.5064i | 0.227005 | − | 0.847194i | ||||
\(428\) | −7.46709 | + | 8.55282i | −0.360935 | + | 0.413416i | ||||
\(429\) | −3.73426 | + | 0.254468i | −0.180292 | + | 0.0122858i | ||||
\(430\) | 0.267741 | + | 7.91008i | 0.0129116 | + | 0.381458i | ||||
\(431\) | 37.3843 | 1.80074 | 0.900370 | − | 0.435126i | \(-0.143296\pi\) | ||||
0.900370 | + | 0.435126i | \(0.143296\pi\) | |||||||
\(432\) | 19.5985 | − | 6.92077i | 0.942935 | − | 0.332976i | ||||
\(433\) | −18.8561 | −0.906166 | −0.453083 | − | 0.891468i | \(-0.649676\pi\) | ||||
−0.453083 | + | 0.891468i | \(0.649676\pi\) | |||||||
\(434\) | −0.290283 | − | 8.57605i | −0.0139340 | − | 0.411664i | ||||
\(435\) | 46.6873 | − | 3.18147i | 2.23849 | − | 0.152540i | ||||
\(436\) | −14.5949 | − | 12.7422i | −0.698971 | − | 0.610241i | ||||
\(437\) | 7.39522 | − | 27.5993i | 0.353761 | − | 1.32026i | ||||
\(438\) | −2.18891 | − | 21.4121i | −0.104590 | − | 1.02311i | ||||
\(439\) | −4.21577 | + | 7.30192i | −0.201208 | + | 0.348502i | −0.948918 | − | 0.315523i | \(-0.897820\pi\) |
0.747710 | + | 0.664025i | \(0.231153\pi\) | |||||||
\(440\) | −21.8632 | + | 2.22689i | −1.04229 | + | 0.106163i | ||||
\(441\) | 0.590682 | + | 0.761594i | 0.0281277 | + | 0.0362664i | ||||
\(442\) | −5.89018 | − | 1.36650i | −0.280167 | − | 0.0649980i | ||||
\(443\) | −2.46777 | − | 9.20983i | −0.117247 | − | 0.437572i | 0.882198 | − | 0.470879i | \(-0.156063\pi\) |
−0.999445 | + | 0.0333063i | \(0.989396\pi\) | |||||||
\(444\) | −14.0945 | + | 18.5524i | −0.668895 | + | 0.880457i | ||||
\(445\) | −13.6482 | + | 50.9358i | −0.646987 | + | 2.41459i | ||||
\(446\) | 35.8966 | + | 19.1359i | 1.69975 | + | 0.906113i | ||||
\(447\) | 1.24976 | − | 6.36912i | 0.0591117 | − | 0.301249i | ||||
\(448\) | −6.51507 | + | 19.6212i | −0.307808 | + | 0.927016i | ||||
\(449\) | 7.54348i | 0.355999i | 0.984031 | + | 0.177999i | \(0.0569625\pi\) | ||||
−0.984031 | + | 0.177999i | \(0.943038\pi\) | |||||||
\(450\) | 35.0344 | + | 12.9351i | 1.65154 | + | 0.609765i | ||||
\(451\) | −1.88170 | + | 1.88170i | −0.0886058 | + | 0.0886058i | ||||
\(452\) | −15.2917 | + | 10.2668i | −0.719261 | + | 0.482908i | ||||
\(453\) | 2.06246 | − | 4.20969i | 0.0969026 | − | 0.197788i | ||||
\(454\) | 11.3026 | − | 3.44233i | 0.530460 | − | 0.161557i | ||||
\(455\) | −8.59164 | + | 4.96039i | −0.402782 | + | 0.232546i | ||||
\(456\) | −9.97644 | + | 14.0976i | −0.467190 | + | 0.660182i | ||||
\(457\) | −5.15261 | − | 2.97486i | −0.241029 | − | 0.139158i | 0.374621 | − | 0.927178i | \(-0.377773\pi\) |
−0.615649 | + | 0.788020i | \(0.711106\pi\) | |||||||
\(458\) | −26.4412 | − | 6.13428i | −1.23552 | − | 0.286636i | ||||
\(459\) | 4.35832 | + | 21.0547i | 0.203429 | + | 0.982750i | ||||
\(460\) | 19.4847 | + | 56.9839i | 0.908477 | + | 2.65689i | ||||
\(461\) | 6.37780 | + | 23.8023i | 0.297044 | + | 1.10858i | 0.939581 | + | 0.342328i | \(0.111215\pi\) |
−0.642537 | + | 0.766255i | \(0.722118\pi\) | |||||||
\(462\) | −13.0700 | − | 2.10823i | −0.608071 | − | 0.0980836i | ||||
\(463\) | −20.8183 | + | 12.0194i | −0.967507 | + | 0.558590i | −0.898475 | − | 0.439024i | \(-0.855324\pi\) |
−0.0690315 | + | 0.997614i | \(0.521991\pi\) | |||||||
\(464\) | −11.2510 | − | 26.8248i | −0.522316 | − | 1.24531i | ||||
\(465\) | 4.89341 | + | 14.2938i | 0.226926 | + | 0.662861i | ||||
\(466\) | 4.18743 | − | 0.141737i | 0.193979 | − | 0.00656582i | ||||
\(467\) | 25.3702 | + | 25.3702i | 1.17399 | + | 1.17399i | 0.981249 | + | 0.192744i | \(0.0617388\pi\) |
0.192744 | + | 0.981249i | \(0.438261\pi\) | |||||||
\(468\) | 0.359697 | − | 6.18925i | 0.0166270 | − | 0.286098i | ||||
\(469\) | 5.30936 | − | 5.30936i | 0.245163 | − | 0.245163i | ||||
\(470\) | −27.7013 | − | 25.8874i | −1.27777 | − | 1.19410i | ||||
\(471\) | −1.65530 | + | 8.43582i | −0.0762720 | + | 0.388702i | ||||
\(472\) | 23.1372 | + | 3.74084i | 1.06498 | + | 0.172186i | ||||
\(473\) | 1.57520 | + | 2.72833i | 0.0724278 | + | 0.125449i | ||||
\(474\) | 14.5789 | + | 6.54072i | 0.669631 | + | 0.300425i | ||||
\(475\) | −29.9745 | + | 8.03166i | −1.37533 | + | 0.368518i | ||||
\(476\) | −19.2026 | − | 9.41673i | −0.880150 | − | 0.431615i | ||||
\(477\) | −1.84715 | − | 1.40223i | −0.0845751 | − | 0.0642037i | ||||
\(478\) | −7.69665 | − | 12.3466i | −0.352037 | − | 0.564722i | ||||
\(479\) | 0.498647 | − | 0.863682i | 0.0227838 | − | 0.0394626i | −0.854409 | − | 0.519602i | \(-0.826080\pi\) |
0.877192 | + | 0.480139i | \(0.159414\pi\) | |||||||
\(480\) | 0.894813 | − | 36.3901i | 0.0408424 | − | 1.66098i | ||||
\(481\) | 3.47486 | + | 6.01863i | 0.158440 | + | 0.274426i | ||||
\(482\) | 17.1270 | − | 32.1282i | 0.780115 | − | 1.46340i | ||||
\(483\) | 2.46651 | + | 36.1956i | 0.112230 | + | 1.64695i | ||||
\(484\) | 11.0026 | − | 7.38707i | 0.500116 | − | 0.335776i | ||||
\(485\) | 34.3904 | + | 34.3904i | 1.56159 | + | 1.56159i | ||||
\(486\) | −20.5212 | + | 8.05472i | −0.930863 | + | 0.365370i | ||||
\(487\) | −18.8397 | −0.853709 | −0.426855 | − | 0.904320i | \(-0.640378\pi\) | ||||
−0.426855 | + | 0.904320i | \(0.640378\pi\) | |||||||
\(488\) | 18.5411 | − | 7.04898i | 0.839317 | − | 0.319092i | ||||
\(489\) | −13.5303 | + | 15.5092i | −0.611862 | + | 0.701350i | ||||
\(490\) | 1.61474 | − | 0.491785i | 0.0729466 | − | 0.0222166i | ||||
\(491\) | 0.535020 | + | 0.143358i | 0.0241451 | + | 0.00646966i | 0.270871 | − | 0.962616i | \(-0.412688\pi\) |
−0.246726 | + | 0.969085i | \(0.579355\pi\) | |||||||
\(492\) | −2.70011 | − | 3.48403i | −0.121730 | − | 0.157072i | ||||
\(493\) | 29.0661 | − | 7.78824i | 1.30907 | − | 0.350765i | ||||
\(494\) | 2.72521 | + | 4.37166i | 0.122613 | + | 0.196690i | ||||
\(495\) | 23.0939 | − | 3.16211i | 1.03799 | − | 0.142126i | ||||
\(496\) | 7.42530 | − | 5.75020i | 0.333406 | − | 0.258192i | ||||
\(497\) | −14.7591 | − | 8.52115i | −0.662035 | − | 0.382226i | ||||
\(498\) | −18.2909 | + | 6.96156i | −0.819634 | + | 0.311955i | ||||
\(499\) | −42.1874 | − | 11.3041i | −1.88857 | − | 0.506041i | −0.998764 | − | 0.0497007i | \(-0.984173\pi\) |
−0.889805 | − | 0.456340i | \(-0.849160\pi\) | |||||||
\(500\) | 18.5821 | − | 21.2839i | 0.831015 | − | 0.951846i | ||||
\(501\) | −11.8129 | + | 7.93744i | −0.527761 | + | 0.354619i | ||||
\(502\) | 22.8962 | − | 24.5005i | 1.02191 | − | 1.09351i | ||||
\(503\) | − | 20.7324i | − | 0.924412i | −0.886773 | − | 0.462206i | \(-0.847058\pi\) | ||
0.886773 | − | 0.462206i | \(-0.152942\pi\) | |||||||
\(504\) | 6.18679 | − | 21.0379i | 0.275581 | − | 0.937101i | ||||
\(505\) | − | 15.1733i | − | 0.675203i | ||||||
\(506\) | 17.5143 | + | 16.3674i | 0.778604 | + | 0.727622i | ||||
\(507\) | 18.5596 | + | 9.09293i | 0.824262 | + | 0.403831i | ||||
\(508\) | −0.643450 | − | 9.49407i | −0.0285485 | − | 0.421231i | ||||
\(509\) | −9.69736 | − | 2.59840i | −0.429828 | − | 0.115172i | 0.0374174 | − | 0.999300i | \(-0.488087\pi\) |
−0.467245 | + | 0.884128i | \(0.654754\pi\) | |||||||
\(510\) | 37.1754 | + | 5.99650i | 1.64615 | + | 0.265529i | ||||
\(511\) | −19.6661 | − | 11.3542i | −0.869976 | − | 0.502281i | ||||
\(512\) | −21.5864 | + | 6.78443i | −0.953992 | + | 0.299832i | ||||
\(513\) | 10.0584 | − | 15.3096i | 0.444091 | − | 0.675936i | ||||
\(514\) | 9.35156 | − | 5.82958i | 0.412479 | − | 0.257132i | ||||
\(515\) | −15.9956 | + | 4.28602i | −0.704852 | + | 0.188865i | ||||
\(516\) | −4.81139 | + | 2.02011i | −0.211809 | + | 0.0889302i | ||||
\(517\) | −14.5776 | − | 3.90607i | −0.641124 | − | 0.171789i | ||||
\(518\) | 7.16177 | + | 23.5152i | 0.314670 | + | 1.03320i | ||||
\(519\) | 14.4451 | + | 42.1948i | 0.634071 | + | 1.85214i | ||||
\(520\) | −9.90489 | − | 4.44814i | −0.434358 | − | 0.195064i | ||||
\(521\) | −3.20573 | −0.140445 | −0.0702227 | − | 0.997531i | \(-0.522371\pi\) | ||||
−0.0702227 | + | 0.997531i | \(0.522371\pi\) | |||||||
\(522\) | 12.9098 | + | 28.0225i | 0.565048 | + | 1.22651i | ||||
\(523\) | −28.1479 | − | 28.1479i | −1.23082 | − | 1.23082i | −0.963648 | − | 0.267175i | \(-0.913910\pi\) |
−0.267175 | − | 0.963648i | \(-0.586090\pi\) | |||||||
\(524\) | 3.34105 | − | 16.9937i | 0.145955 | − | 0.742375i | ||||
\(525\) | 32.7046 | − | 21.9752i | 1.42734 | − | 0.959075i | ||||
\(526\) | −17.7986 | − | 9.48813i | −0.776054 | − | 0.413702i | ||||
\(527\) | 4.85760 | + | 8.41362i | 0.211601 | + | 0.366503i | ||||
\(528\) | −6.49971 | − | 12.9498i | −0.282863 | − | 0.563567i | ||||
\(529\) | 21.3456 | − | 36.9717i | 0.928070 | − | 1.60746i | ||||
\(530\) | −3.44669 | + | 2.14860i | −0.149715 | + | 0.0933293i | ||||
\(531\) | −24.6632 | − | 3.11714i | −1.07029 | − | 0.135272i | ||||
\(532\) | 5.89533 | + | 17.2412i | 0.255595 | + | 0.747501i | ||||
\(533\) | −1.26998 | + | 0.340291i | −0.0550091 | + | 0.0147396i | ||||
\(534\) | −34.5874 | + | 3.53580i | −1.49674 | + | 0.153009i | ||||
\(535\) | −10.5453 | − | 18.2650i | −0.455914 | − | 0.789666i | ||||
\(536\) | 8.11244 | + | 1.31163i | 0.350404 | + | 0.0566537i | ||||
\(537\) | −26.9318 | − | 23.4954i | −1.16219 | − | 1.01390i | ||||
\(538\) | −2.32507 | + | 2.48799i | −0.100241 | + | 0.107265i | ||||
\(539\) | 0.475101 | − | 0.475101i | 0.0204640 | − | 0.0204640i | ||||
\(540\) | 0.385613 | + | 38.6073i | 0.0165941 | + | 1.66139i | ||||
\(541\) | 14.6373 | + | 14.6373i | 0.629307 | + | 0.629307i | 0.947894 | − | 0.318586i | \(-0.103208\pi\) |
−0.318586 | + | 0.947894i | \(0.603208\pi\) | |||||||
\(542\) | 0.457189 | + | 13.5071i | 0.0196380 | + | 0.580179i | ||||
\(543\) | 13.1947 | − | 15.1245i | 0.566241 | − | 0.649056i | ||||
\(544\) | −3.94111 | − | 23.0732i | −0.168974 | − | 0.989257i | ||||
\(545\) | 31.1683 | − | 17.9950i | 1.33510 | − | 0.770822i | ||||
\(546\) | −5.07155 | − | 4.13081i | −0.217042 | − | 0.176782i | ||||
\(547\) | 4.55558 | + | 17.0017i | 0.194783 | + | 0.726938i | 0.992323 | + | 0.123673i | \(0.0394674\pi\) |
−0.797541 | + | 0.603265i | \(0.793866\pi\) | |||||||
\(548\) | −14.6103 | + | 29.7933i | −0.624120 | + | 1.27271i | ||||
\(549\) | −19.3957 | + | 8.15186i | −0.827786 | + | 0.347913i | ||||
\(550\) | 5.88372 | − | 25.3612i | 0.250882 | − | 1.08140i | ||||
\(551\) | −22.2022 | − | 12.8185i | −0.945847 | − | 0.546085i | ||||
\(552\) | −30.5437 | + | 25.3707i | −1.30003 | + | 1.07985i | ||||
\(553\) | 14.5999 | − | 8.42924i | 0.620850 | − | 0.358448i | ||||
\(554\) | −0.909921 | − | 2.98766i | −0.0386588 | − | 0.126934i | ||||
\(555\) | −24.1382 | − | 35.9237i | −1.02461 | − | 1.52487i | ||||
\(556\) | 2.74574 | − | 13.9658i | 0.116446 | − | 0.592282i | ||||
\(557\) | −8.32037 | + | 8.32037i | −0.352546 | + | 0.352546i | −0.861056 | − | 0.508510i | \(-0.830196\pi\) |
0.508510 | + | 0.861056i | \(0.330196\pi\) | |||||||
\(558\) | −7.66020 | + | 6.36759i | −0.324282 | + | 0.269562i | ||||
\(559\) | 1.55652i | 0.0658337i | ||||||||
\(560\) | −30.5722 | − | 23.2439i | −1.29191 | − | 0.982232i | ||||
\(561\) | 14.1809 | − | 4.85475i | 0.598718 | − | 0.204968i | ||||
\(562\) | 10.9924 | − | 20.6203i | 0.463685 | − | 0.869816i | ||||
\(563\) | 5.81439 | − | 21.6996i | 0.245047 | − | 0.914529i | −0.728312 | − | 0.685245i | \(-0.759695\pi\) |
0.973360 | − | 0.229284i | \(-0.0736383\pi\) | |||||||
\(564\) | 9.45510 | − | 23.1408i | 0.398131 | − | 0.974403i | ||||
\(565\) | −8.85525 | − | 33.0482i | −0.372543 | − | 1.39035i | ||||
\(566\) | 2.41332 | − | 10.4024i | 0.101439 | − | 0.437245i | ||||
\(567\) | −5.78686 | + | 22.5275i | −0.243025 | + | 0.946067i | ||||
\(568\) | −1.89004 | − | 18.5560i | −0.0793042 | − | 0.778594i | ||||
\(569\) | 7.57037 | − | 13.1123i | 0.317367 | − | 0.549695i | −0.662571 | − | 0.748999i | \(-0.730535\pi\) |
0.979938 | + | 0.199304i | \(0.0638681\pi\) | |||||||
\(570\) | −18.7832 | − | 26.0081i | −0.786740 | − | 1.08936i | ||||
\(571\) | −8.82715 | + | 32.9434i | −0.369405 | + | 1.37864i | 0.491945 | + | 0.870626i | \(0.336286\pi\) |
−0.861350 | + | 0.508012i | \(0.830381\pi\) | |||||||
\(572\) | −4.31206 | + | 0.292245i | −0.180296 | + | 0.0122194i | ||||
\(573\) | 4.27630 | − | 8.72837i | 0.178645 | − | 0.364633i | ||||
\(574\) | −4.64781 | + | 0.157320i | −0.193996 | + | 0.00656639i | ||||
\(575\) | −71.3446 | −2.97528 | ||||||||
\(576\) | 22.6334 | − | 7.98308i | 0.943058 | − | 0.332628i | ||||
\(577\) | 19.9524 | 0.830629 | 0.415315 | − | 0.909678i | \(-0.363671\pi\) | ||||
0.415315 | + | 0.909678i | \(0.363671\pi\) | |||||||
\(578\) | 0.172539 | − | 0.00584011i | 0.00717667 | − | 0.000242917i | ||||
\(579\) | −24.2906 | − | 36.1505i | −1.00948 | − | 1.50237i | ||||
\(580\) | 53.9112 | − | 3.65377i | 2.23854 | − | 0.151715i | ||||
\(581\) | −5.34414 | + | 19.9446i | −0.221712 | + | 0.827442i | ||||
\(582\) | −13.1258 | + | 29.2568i | −0.544084 | + | 1.21273i | ||||
\(583\) | −0.808347 | + | 1.40010i | −0.0334783 | + | 0.0579861i | ||||
\(584\) | −2.51843 | − | 24.7254i | −0.104213 | − | 1.02315i | ||||
\(585\) | 10.6625 | + | 4.35201i | 0.440841 | + | 0.179934i | ||||
\(586\) | −7.56491 | + | 32.6078i | −0.312503 | + | 1.34702i | ||||
\(587\) | −8.04265 | − | 30.0156i | −0.331955 | − | 1.23887i | −0.907132 | − | 0.420846i | \(-0.861733\pi\) |
0.575177 | − | 0.818029i | \(-0.304933\pi\) | |||||||
\(588\) | 0.681737 | + | 0.879664i | 0.0281143 | + | 0.0362767i | ||||
\(589\) | 2.14226 | − | 7.99501i | 0.0882701 | − | 0.329429i | ||||
\(590\) | −20.4808 | + | 38.4194i | −0.843181 | + | 1.58170i | ||||
\(591\) | −7.96803 | − | 6.95136i | −0.327761 | − | 0.285941i | ||||
\(592\) | −16.2828 | + | 21.4165i | −0.669220 | + | 0.880211i | ||||
\(593\) | − | 38.3863i | − | 1.57634i | −0.615460 | − | 0.788168i | \(-0.711030\pi\) | ||
0.615460 | − | 0.788168i | \(-0.288970\pi\) | |||||||
\(594\) | 7.36463 | + | 13.4888i | 0.302174 | + | 0.553453i | ||||
\(595\) | 28.0924 | − | 28.0924i | 1.15168 | − | 1.15168i | ||||
\(596\) | 1.44581 | − | 7.35389i | 0.0592227 | − | 0.301227i | ||||
\(597\) | −25.3409 | + | 1.72683i | −1.03713 | + | 0.0706745i | ||||
\(598\) | 3.45063 | + | 11.3299i | 0.141107 | + | 0.463314i | ||||
\(599\) | −24.9602 | + | 14.4108i | −1.01985 | + | 0.588809i | −0.914060 | − | 0.405580i | \(-0.867070\pi\) |
−0.105787 | + | 0.994389i | \(0.533736\pi\) | |||||||
\(600\) | 40.4487 | + | 14.9510i | 1.65131 | + | 0.610374i | ||||
\(601\) | −19.8695 | − | 11.4716i | −0.810492 | − | 0.467938i | 0.0366348 | − | 0.999329i | \(-0.488336\pi\) |
−0.847127 | + | 0.531391i | \(0.821670\pi\) | |||||||
\(602\) | −1.24422 | + | 5.36307i | −0.0507105 | + | 0.218582i | ||||
\(603\) | −8.64749 | − | 1.09294i | −0.352153 | − | 0.0445080i | ||||
\(604\) | 2.38331 | − | 4.86005i | 0.0969755 | − | 0.197753i | ||||
\(605\) | 6.37146 | + | 23.7786i | 0.259037 | + | 0.966738i | ||||
\(606\) | 9.34976 | − | 3.55854i | 0.379808 | − | 0.144556i | ||||
\(607\) | 16.8592 | − | 9.73364i | 0.684292 | − | 0.395076i | −0.117178 | − | 0.993111i | \(-0.537385\pi\) |
0.801470 | + | 0.598035i | \(0.204051\pi\) | |||||||
\(608\) | −11.5258 | + | 16.2743i | −0.467433 | + | 0.660010i | ||||
\(609\) | 31.9425 | + | 6.26782i | 1.29437 | + | 0.253985i | ||||
\(610\) | 1.24648 | + | 36.8258i | 0.0504686 | + | 1.49103i | ||||
\(611\) | −5.27251 | − | 5.27251i | −0.213303 | − | 0.213303i | ||||
\(612\) | 5.02359 | + | 24.3137i | 0.203067 | + | 0.982825i | ||||
\(613\) | −10.5918 | + | 10.5918i | −0.427797 | + | 0.427797i | −0.887877 | − | 0.460080i | \(-0.847821\pi\) |
0.460080 | + | 0.887877i | \(0.347821\pi\) | |||||||
\(614\) | −17.6878 | + | 18.9272i | −0.713823 | + | 0.763840i | ||||
\(615\) | 7.74658 | − | 2.65200i | 0.312372 | − | 0.106939i | ||||
\(616\) | −15.0910 | − | 2.43993i | −0.608035 | − | 0.0983076i | ||||
\(617\) | −9.33080 | − | 16.1614i | −0.375644 | − | 0.650634i | 0.614779 | − | 0.788699i | \(-0.289245\pi\) |
−0.990423 | + | 0.138065i | \(0.955912\pi\) | |||||||
\(618\) | −6.39244 | − | 8.85130i | −0.257142 | − | 0.356051i | ||||
\(619\) | 21.0028 | − | 5.62767i | 0.844172 | − | 0.226195i | 0.189285 | − | 0.981922i | \(-0.439383\pi\) |
0.654887 | + | 0.755727i | \(0.272716\pi\) | |||||||
\(620\) | 5.64434 | + | 16.5072i | 0.226682 | + | 0.662944i | ||||
\(621\) | 31.4470 | − | 28.0134i | 1.26192 | − | 1.12414i | ||||
\(622\) | 5.18701 | − | 3.23348i | 0.207980 | − | 0.129651i | ||||
\(623\) | −18.3407 | + | 31.7671i | −0.734807 | + | 1.27272i | ||||
\(624\) | 0.417976 | − | 7.14658i | 0.0167324 | − | 0.286092i | ||||
\(625\) | 4.23597 | + | 7.33691i | 0.169439 | + | 0.293477i | ||||
\(626\) | 19.8659 | + | 10.5902i | 0.794001 | + | 0.423270i | ||||
\(627\) | −11.4677 | − | 5.61837i | −0.457975 | − | 0.224376i | ||||
\(628\) | −1.91496 | + | 9.74015i | −0.0764153 | + | 0.388674i | ||||
\(629\) | −19.6794 | − | 19.6794i | −0.784667 | − | 0.784667i | ||||
\(630\) | 33.2595 | + | 23.5183i | 1.32509 | + | 0.936990i | ||||
\(631\) | 26.5211 | 1.05579 | 0.527894 | − | 0.849310i | \(-0.322982\pi\) | ||||
0.527894 | + | 0.849310i | \(0.322982\pi\) | |||||||
\(632\) | 16.8315 | + | 7.55878i | 0.669521 | + | 0.300672i | ||||
\(633\) | −3.97072 | − | 0.779143i | −0.157822 | − | 0.0309682i | ||||
\(634\) | 12.2467 | + | 40.2113i | 0.486380 | + | 1.59699i | ||||
\(635\) | 17.0742 | + | 4.57502i | 0.677569 | + | 0.181554i | ||||
\(636\) | −2.13231 | − | 1.61994i | −0.0845514 | − | 0.0642349i | ||||
\(637\) | 0.320651 | − | 0.0859183i | 0.0127047 | − | 0.00340421i | ||||
\(638\) | 18.2525 | − | 11.3782i | 0.722622 | − | 0.450468i | ||||
\(639\) | 2.68379 | + | 19.6006i | 0.106169 | + | 0.775388i | ||||
\(640\) | 1.04873 | − | 42.0193i | 0.0414545 | − | 1.66096i | ||||
\(641\) | 1.35222 | + | 0.780702i | 0.0534093 | + | 0.0308359i | 0.526467 | − | 0.850196i | \(-0.323516\pi\) |
−0.473058 | + | 0.881032i | \(0.656850\pi\) | |||||||
\(642\) | 8.78172 | − | 10.7816i | 0.346587 | − | 0.425517i | ||||
\(643\) | 33.6691 | + | 9.02160i | 1.32778 | + | 0.355777i | 0.851887 | − | 0.523726i | \(-0.175458\pi\) |
0.475892 | + | 0.879503i | \(0.342125\pi\) | |||||||
\(644\) | 2.83268 | + | 41.7961i | 0.111623 | + | 1.64700i | ||||
\(645\) | −0.659018 | − | 9.67095i | −0.0259488 | − | 0.380793i | ||||
\(646\) | −15.0726 | − | 14.0856i | −0.593022 | − | 0.554191i | ||||
\(647\) | 7.73678i | 0.304164i | 0.988368 | + | 0.152082i | \(0.0485978\pi\) | ||||
−0.988368 | + | 0.152082i | \(0.951402\pi\) | |||||||
\(648\) | −23.6993 | + | 9.29206i | −0.930997 | + | 0.365026i | ||||
\(649\) | 17.3300i | 0.680264i | ||||||||
\(650\) | 8.78261 | − | 9.39799i | 0.344482 | − | 0.368619i | ||||
\(651\) | 0.714503 | + | 10.4852i | 0.0280036 | + | 0.410946i | ||||
\(652\) | −15.6301 | + | 17.9027i | −0.612120 | + | 0.701124i | ||||
\(653\) | 14.2429 | + | 3.81636i | 0.557366 | + | 0.149346i | 0.526496 | − | 0.850178i | \(-0.323505\pi\) |
0.0308703 | + | 0.999523i | \(0.490172\pi\) | |||||||
\(654\) | 18.3983 | + | 14.9855i | 0.719430 | + | 0.585981i | ||||
\(655\) | 27.8615 | + | 16.0858i | 1.08864 | + | 0.628526i | ||||
\(656\) | −3.11634 | − | 4.02416i | −0.121672 | − | 0.157117i | ||||
\(657\) | 3.57608 | + | 26.1173i | 0.139516 | + | 1.01893i | ||||
\(658\) | −13.9521 | − | 22.3813i | −0.543909 | − | 0.872515i | ||||
\(659\) | 33.8013 | − | 9.05703i | 1.31671 | − | 0.352812i | 0.468967 | − | 0.883216i | \(-0.344626\pi\) |
0.847745 | + | 0.530404i | \(0.177960\pi\) | |||||||
\(660\) | 26.6679 | − | 3.64147i | 1.03805 | − | 0.141744i | ||||
\(661\) | 35.8049 | + | 9.59389i | 1.39265 | + | 0.373159i | 0.875699 | − | 0.482857i | \(-0.160401\pi\) |
0.516949 | + | 0.856016i | \(0.327068\pi\) | |||||||
\(662\) | 2.66268 | − | 0.810943i | 0.103488 | − | 0.0315182i | ||||
\(663\) | 7.26698 | + | 1.42594i | 0.282226 | + | 0.0553790i | ||||
\(664\) | −21.1235 | + | 8.03073i | −0.819749 | + | 0.311653i | ||||
\(665\) | −33.8476 | −1.31255 | ||||||||
\(666\) | 16.4750 | − | 23.2990i | 0.638395 | − | 0.902817i | ||||
\(667\) | −41.6777 | − | 41.6777i | −1.61377 | − | 1.61377i | ||||
\(668\) | −13.6437 | + | 9.16034i | −0.527892 | + | 0.354424i | ||||
\(669\) | −44.7399 | − | 21.9195i | −1.72975 | − | 0.847456i | ||||
\(670\) | −7.18105 | + | 13.4708i | −0.277428 | + | 0.520421i | ||||
\(671\) | 7.33342 | + | 12.7019i | 0.283103 | + | 0.490350i | ||||
\(672\) | 7.15284 | − | 24.2898i | 0.275927 | − | 0.937000i | ||||
\(673\) | −14.5046 | + | 25.1226i | −0.559109 | + | 0.968406i | 0.438462 | + | 0.898750i | \(0.355523\pi\) |
−0.997571 | + | 0.0696559i | \(0.977810\pi\) | |||||||
\(674\) | −14.1634 | − | 22.7204i | −0.545556 | − | 0.875156i | ||||
\(675\) | −43.4248 | − | 14.3656i | −1.67142 | − | 0.552931i | ||||
\(676\) | 21.4269 | + | 10.5075i | 0.824113 | + | 0.404135i | ||||
\(677\) | −20.8441 | + | 5.58517i | −0.801105 | + | 0.214655i | −0.636069 | − | 0.771632i | \(-0.719441\pi\) |
−0.165036 | + | 0.986288i | \(0.552774\pi\) | |||||||
\(678\) | 18.2875 | − | 13.2073i | 0.702326 | − | 0.507223i | ||||
\(679\) | 16.9157 | + | 29.2989i | 0.649165 | + | 1.12439i | ||||
\(680\) | 42.9239 | + | 6.93997i | 1.64606 | + | 0.266136i | ||||
\(681\) | −13.6906 | + | 4.68689i | −0.524624 | + | 0.179602i | ||||
\(682\) | 5.07356 | + | 4.74134i | 0.194277 | + | 0.181555i | ||||
\(683\) | −19.1487 | + | 19.1487i | −0.732704 | + | 0.732704i | −0.971155 | − | 0.238451i | \(-0.923360\pi\) |
0.238451 | + | 0.971155i | \(0.423360\pi\) | |||||||
\(684\) | 11.6210 | − | 17.6737i | 0.444340 | − | 0.675773i | ||||
\(685\) | −43.5861 | − | 43.5861i | −1.66534 | − | 1.66534i | ||||
\(686\) | 26.7424 | − | 0.905179i | 1.02103 | − | 0.0345599i | ||||
\(687\) | 32.6217 | + | 6.40110i | 1.24460 | + | 0.244217i | ||||
\(688\) | −5.55657 | + | 2.33057i | −0.211842 | + | 0.0888522i | ||||
\(689\) | −0.691747 | + | 0.399380i | −0.0263534 | + | 0.0152152i | ||||
\(690\) | −26.2364 | − | 68.9339i | −0.998804 | − | 2.62427i | ||||
\(691\) | 8.78531 | + | 32.7872i | 0.334209 | + | 1.24728i | 0.904724 | + | 0.425997i | \(0.140077\pi\) |
−0.570516 | + | 0.821287i | \(0.693257\pi\) | |||||||
\(692\) | 16.6618 | + | 48.7285i | 0.633388 | + | 1.85238i | ||||
\(693\) | 16.0863 | + | 2.03312i | 0.611070 | + | 0.0772320i | ||||
\(694\) | 4.37014 | + | 1.01386i | 0.165888 | + | 0.0384855i | ||||
\(695\) | 22.8971 | + | 13.2197i | 0.868538 | + | 0.501450i | ||||
\(696\) | 14.8951 | + | 32.3631i | 0.564596 | + | 1.22672i | ||||
\(697\) | 4.55978 | − | 2.63259i | 0.172714 | − | 0.0997165i | ||||
\(698\) | −22.3974 | + | 6.82134i | −0.847754 | + | 0.258192i | ||||
\(699\) | −5.11960 | + | 0.348870i | −0.193641 | + | 0.0131955i | ||||
\(700\) | 37.7733 | − | 25.3608i | 1.42770 | − | 0.958549i | ||||
\(701\) | −28.6582 | + | 28.6582i | −1.08240 | + | 1.08240i | −0.0861190 | + | 0.996285i | \(0.527447\pi\) |
−0.996285 | + | 0.0861190i | \(0.972553\pi\) | |||||||
\(702\) | −0.181058 | + | 7.59089i | −0.00683358 | + | 0.286500i | ||||
\(703\) | 23.7109i | 0.894275i | ||||||||
\(704\) | −7.49970 | − | 14.9559i | −0.282656 | − | 0.563672i | ||||
\(705\) | 34.9914 | + | 30.5268i | 1.31785 | + | 1.14970i | ||||
\(706\) | −28.4092 | − | 15.1445i | −1.06919 | − | 0.569970i | ||||
\(707\) | 2.73177 | − | 10.1951i | 0.102739 | − | 0.383426i | ||||
\(708\) | −28.4773 | − | 3.60985i | −1.07024 | − | 0.135667i | ||||
\(709\) | 2.14398 | + | 8.00146i | 0.0805190 | + | 0.300501i | 0.994428 | − | 0.105418i | \(-0.0336181\pi\) |
−0.913909 | + | 0.405919i | \(0.866951\pi\) | |||||||
\(710\) | 33.7514 | + | 7.83023i | 1.26667 | + | 0.293863i | ||||
\(711\) | −18.1189 | − | 7.39543i | −0.679513 | − | 0.277350i | ||||
\(712\) | −39.9396 | + | 4.06808i | −1.49680 | + | 0.152458i | ||||
\(713\) | 9.51476 | − | 16.4800i | 0.356330 | − | 0.617182i | ||||
\(714\) | 23.8989 | + | 10.7221i | 0.894395 | + | 0.401264i | ||||
\(715\) | 2.07790 | − | 7.75484i | 0.0777091 | − | 0.290014i | ||||
\(716\) | −31.0881 | − | 27.1417i | −1.16182 | − | 1.01433i | ||||
\(717\) | 9.93803 | + | 14.7903i | 0.371142 | + | 0.552353i | ||||
\(718\) | −0.360809 | − | 10.6596i | −0.0134653 | − | 0.397814i | ||||
\(719\) | −17.3387 | −0.646625 | −0.323312 | − | 0.946292i | \(-0.604796\pi\) | ||||
−0.323312 | + | 0.946292i | \(0.604796\pi\) | |||||||
\(720\) | 0.428839 | + | 44.5801i | 0.0159819 | + | 1.66140i | ||||
\(721\) | −11.5193 | −0.429001 | ||||||||
\(722\) | −0.314410 | − | 9.28885i | −0.0117011 | − | 0.345695i | ||||
\(723\) | −19.6184 | + | 40.0431i | −0.729615 | + | 1.48922i | ||||
\(724\) | 15.2424 | − | 17.4587i | 0.566480 | − | 0.648847i | ||||
\(725\) | −16.5680 | + | 61.8325i | −0.615318 | + | 2.29640i | ||||
\(726\) | −13.1581 | + | 9.50280i | −0.488341 | + | 0.352682i | ||||
\(727\) | 25.1782 | − | 43.6100i | 0.933809 | − | 1.61741i | 0.157066 | − | 0.987588i | \(-0.449796\pi\) |
0.776743 | − | 0.629817i | \(-0.216870\pi\) | |||||||
\(728\) | −5.85436 | − | 4.77201i | −0.216977 | − | 0.176862i | ||||
\(729\) | 24.7812 | − | 10.7187i | 0.917824 | − | 0.396989i | ||||
\(730\) | 44.9729 | + | 10.4336i | 1.66452 | + | 0.386164i | ||||
\(731\) | −1.61328 | − | 6.02084i | −0.0596693 | − | 0.222689i | ||||
\(732\) | −22.3996 | + | 9.40470i | −0.827914 | + | 0.347608i | ||||
\(733\) | −0.123620 | + | 0.461357i | −0.00456602 | + | 0.0170406i | −0.968171 | − | 0.250289i | \(-0.919474\pi\) |
0.963605 | + | 0.267329i | \(0.0861411\pi\) | |||||||
\(734\) | −29.7333 | − | 15.8504i | −1.09748 | − | 0.585047i | ||||
\(735\) | −1.95589 | + | 0.669588i | −0.0721442 | + | 0.0246981i | ||||
\(736\) | −35.2796 | + | 29.2825i | −1.30042 | + | 1.07937i | ||||
\(737\) | 6.07632i | 0.223824i | ||||||||
\(738\) | 3.45093 | + | 4.15146i | 0.127031 | + | 0.152817i | ||||
\(739\) | 35.7895 | − | 35.7895i | 1.31654 | − | 1.31654i | 0.400038 | − | 0.916499i | \(-0.368997\pi\) |
0.916499 | − | 0.400038i | \(-0.131003\pi\) | |||||||
\(740\) | −27.8571 | − | 41.4914i | −1.02405 | − | 1.52525i | ||||
\(741\) | −3.51883 | − | 5.23689i | −0.129267 | − | 0.192382i | ||||
\(742\) | −2.70270 | + | 0.823133i | −0.0992192 | + | 0.0302181i | ||||
\(743\) | 40.8564 | − | 23.5884i | 1.49888 | − | 0.865376i | 0.498877 | − | 0.866673i | \(-0.333746\pi\) |
0.999999 | + | 0.00129681i | \(0.000412789\pi\) | |||||||
\(744\) | −8.84794 | + | 7.34940i | −0.324381 | + | 0.269442i | ||||
\(745\) | 12.0568 | + | 6.96101i | 0.441728 | + | 0.255032i | ||||
\(746\) | −12.6195 | − | 2.92769i | −0.462034 | − | 0.107190i | ||||
\(747\) | 22.0970 | − | 9.28722i | 0.808487 | − | 0.339801i | ||||
\(748\) | 16.3768 | − | 5.59975i | 0.598794 | − | 0.204747i | ||||
\(749\) | −3.79711 | − | 14.1710i | −0.138743 | − | 0.517798i | ||||
\(750\) | −21.8535 | + | 26.8304i | −0.797978 | + | 0.979708i | ||||
\(751\) | −12.6419 | + | 7.29878i | −0.461308 | + | 0.266336i | −0.712594 | − | 0.701577i | \(-0.752480\pi\) |
0.251286 | + | 0.967913i | \(0.419147\pi\) | |||||||
\(752\) | 10.9276 | − | 26.7167i | 0.398490 | − | 0.974256i | ||||
\(753\) | −26.9994 | + | 30.9482i | −0.983914 | + | 1.12782i | ||||
\(754\) | 10.6206 | − | 0.359488i | 0.386781 | − | 0.0130918i | ||||
\(755\) | 7.11001 | + | 7.11001i | 0.258760 | + | 0.258760i | ||||
\(756\) | −6.69168 | + | 26.0101i | −0.243374 | + | 0.945977i | ||||
\(757\) | 22.1300 | − | 22.1300i | 0.804329 | − | 0.804329i | −0.179440 | − | 0.983769i | \(-0.557429\pi\) |
0.983769 | + | 0.179440i | \(0.0574286\pi\) | |||||||
\(758\) | −0.929378 | − | 0.868523i | −0.0337565 | − | 0.0315462i | ||||
\(759\) | −22.1235 | − | 19.3007i | −0.803032 | − | 0.700570i | ||||
\(760\) | −21.6779 | − | 30.0396i | −0.786339 | − | 1.08965i | ||||
\(761\) | 13.0131 | + | 22.5393i | 0.471724 | + | 0.817050i | 0.999477 | − | 0.0323484i | \(-0.0102986\pi\) |
−0.527753 | + | 0.849398i | \(0.676965\pi\) | |||||||
\(762\) | 1.18524 | + | 11.5941i | 0.0429366 | + | 0.420008i | ||||
\(763\) | 24.1821 | − | 6.47957i | 0.875451 | − | 0.234576i | ||||
\(764\) | 4.94156 | − | 10.0768i | 0.178779 | − | 0.364567i | ||||
\(765\) | −45.7549 | − | 5.78288i | −1.65427 | − | 0.209080i | ||||
\(766\) | 10.1836 | + | 16.3360i | 0.367947 | + | 0.590245i | ||||
\(767\) | −4.28113 | + | 7.41513i | −0.154583 | + | 0.267745i | ||||
\(768\) | 26.1382 | − | 9.20843i | 0.943181 | − | 0.332281i | ||||
\(769\) | −17.7312 | − | 30.7114i | −0.639404 | − | 1.10748i | −0.985564 | − | 0.169305i | \(-0.945848\pi\) |
0.346159 | − | 0.938176i | \(-0.387486\pi\) | |||||||
\(770\) | 13.3584 | − | 25.0587i | 0.481404 | − | 0.903054i | ||||
\(771\) | −11.2024 | + | 7.52724i | −0.403445 | + | 0.271087i | ||||
\(772\) | −28.0330 | − | 41.7534i | −1.00893 | − | 1.50274i | ||||
\(773\) | 3.23556 | + | 3.23556i | 0.116375 | + | 0.116375i | 0.762896 | − | 0.646521i | \(-0.223777\pi\) |
−0.646521 | + | 0.762896i | \(0.723777\pi\) | |||||||
\(774\) | 5.80467 | − | 2.67418i | 0.208644 | − | 0.0961215i | ||||
\(775\) | −20.6672 | −0.742388 | ||||||||
\(776\) | −15.1689 | + | 33.7772i | −0.544531 | + | 1.21253i | ||||
\(777\) | −9.75108 | − | 28.4833i | −0.349818 | − | 1.02183i | ||||
\(778\) | 11.2082 | − | 3.41356i | 0.401834 | − | 0.122382i | ||||
\(779\) | −4.33291 | − | 1.16100i | −0.155243 | − | 0.0415972i | ||||
\(780\) | 12.3102 | + | 5.02981i | 0.440775 | + | 0.180096i | ||||
\(781\) | 13.3216 | − | 3.56951i | 0.476683 | − | 0.127727i | ||||
\(782\) | −25.0906 | − | 40.2492i | −0.897238 | − | 1.43931i | ||||
\(783\) | −16.9757 | − | 33.7596i | −0.606661 | − | 1.20647i | ||||
\(784\) | 0.786827 | + | 1.01604i | 0.0281010 | + | 0.0362871i | ||||
\(785\) | −15.9691 | − | 9.21977i | −0.569962 | − | 0.329068i | ||||
\(786\) | −3.37780 | + | 20.9407i | −0.120482 | + | 0.746932i | ||||
\(787\) | 24.4646 | + | 6.55528i | 0.872070 | + | 0.233671i | 0.666983 | − | 0.745073i | \(-0.267585\pi\) |
0.205087 | + | 0.978744i | \(0.434252\pi\) | |||||||
\(788\) | −9.19773 | − | 8.03013i | −0.327656 | − | 0.286062i | ||||
\(789\) | 22.1833 | + | 10.8683i | 0.789747 | + | 0.386922i | ||||
\(790\) | −23.4017 | + | 25.0414i | −0.832596 | + | 0.890934i | ||||
\(791\) | − | 23.7997i | − | 0.846221i | ||||||
\(792\) | 8.49820 | + | 15.5787i | 0.301970 | + | 0.553565i | ||||
\(793\) | 7.24645i | 0.257329i | ||||||||
\(794\) | 9.92571 | + | 9.27577i | 0.352250 | + | 0.329185i | ||||
\(795\) | 4.12886 | − | 2.77431i | 0.146436 | − | 0.0983945i | ||||
\(796\) | −29.2618 | + | 1.98319i | −1.03716 | + | 0.0702923i | ||||
\(797\) | 30.4414 | + | 8.15674i | 1.07829 | + | 0.288927i | 0.753895 | − | 0.656995i | \(-0.228173\pi\) |
0.324394 | + | 0.945922i | \(0.394840\pi\) | |||||||
\(798\) | −7.93816 | − | 20.8568i | −0.281008 | − | 0.738323i | ||||
\(799\) | 25.8596 | + | 14.9300i | 0.914847 | + | 0.528187i | ||||
\(800\) | 46.6998 | + | 17.2812i | 1.65109 | + | 0.610982i | ||||
\(801\) | 42.1879 | − | 5.77654i | 1.49064 | − | 0.204104i | ||||
\(802\) | −6.94801 | + | 4.33125i | −0.245343 | + | 0.152942i | ||||
\(803\) | 17.7507 | − | 4.75628i | 0.626407 | − | 0.167845i | ||||
\(804\) | −9.98480 | − | 1.26570i | −0.352137 | − | 0.0446377i | ||||
\(805\) | −75.1664 | − | 20.1408i | −2.64927 | − | 0.709869i | ||||
\(806\) | 0.999582 | + | 3.28206i | 0.0352088 | + | 0.115606i | ||||
\(807\) | 2.74175 | − | 3.14275i | 0.0965143 | − | 0.110630i | ||||
\(808\) | 10.7977 | − | 4.10507i | 0.379861 | − | 0.144416i | ||||
\(809\) | 46.7989 | 1.64536 | 0.822681 | − | 0.568503i | \(-0.192477\pi\) | ||||
0.822681 | + | 0.568503i | \(0.192477\pi\) | |||||||
\(810\) | −2.08898 | − | 47.2403i | −0.0733992 | − | 1.65986i | ||||
\(811\) | 32.5365 | + | 32.5365i | 1.14251 | + | 1.14251i | 0.987989 | + | 0.154522i | \(0.0493839\pi\) |
0.154522 | + | 0.987989i | \(0.450616\pi\) | |||||||
\(812\) | 36.8813 | + | 7.25105i | 1.29428 | + | 0.254462i | ||||
\(813\) | −1.12533 | − | 16.5139i | −0.0394669 | − | 0.579168i | ||||
\(814\) | −17.5542 | − | 9.35786i | −0.615273 | − | 0.327993i | ||||
\(815\) | −22.0734 | − | 38.2322i | −0.773197 | − | 1.33922i | ||||
\(816\) | 5.79040 | + | 28.0772i | 0.202704 | + | 0.982900i | ||||
\(817\) | −2.65526 | + | 4.59904i | −0.0928956 | + | 0.160900i | ||||
\(818\) | −15.9576 | + | 9.94767i | −0.557945 | + | 0.347812i | ||||
\(819\) | 6.38073 | + | 4.84382i | 0.222961 | + | 0.169257i | ||||
\(820\) | 8.94610 | − | 3.05896i | 0.312411 | − | 0.106824i | ||||
\(821\) | 10.3044 | − | 2.76106i | 0.359627 | − | 0.0963618i | −0.0744814 | − | 0.997222i | \(-0.523730\pi\) |
0.434108 | + | 0.900861i | \(0.357063\pi\) | |||||||
\(822\) | 16.6356 | − | 37.0797i | 0.580232 | − | 1.29330i | ||||
\(823\) | −9.53960 | − | 16.5231i | −0.332530 | − | 0.575958i | 0.650478 | − | 0.759526i | \(-0.274569\pi\) |
−0.983007 | + | 0.183567i | \(0.941235\pi\) | |||||||
\(824\) | −7.37759 | − | 10.2233i | −0.257010 | − | 0.356146i | ||||
\(825\) | −6.13964 | + | 31.2892i | −0.213755 | + | 1.08935i | ||||
\(826\) | −20.6782 | + | 22.1271i | −0.719487 | + | 0.769900i | ||||
\(827\) | 11.6788 | − | 11.6788i | 0.406113 | − | 0.406113i | −0.474268 | − | 0.880381i | \(-0.657287\pi\) |
0.880381 | + | 0.474268i | \(0.157287\pi\) | |||||||
\(828\) | 36.3238 | − | 32.3337i | 1.26234 | − | 1.12367i | ||||
\(829\) | 29.2209 | + | 29.2209i | 1.01488 | + | 1.01488i | 0.999888 | + | 0.0149948i | \(0.00477317\pi\) |
0.0149948 | + | 0.999888i | \(0.495227\pi\) | |||||||
\(830\) | −1.42009 | − | 41.9547i | −0.0492920 | − | 1.45627i | ||||
\(831\) | 1.23890 | + | 3.61887i | 0.0429770 | + | 0.125537i | ||||
\(832\) | 0.485679 | − | 8.25198i | 0.0168379 | − | 0.286086i | ||||
\(833\) | −1.15127 | + | 0.664689i | −0.0398893 | + | 0.0230301i | ||||
\(834\) | −2.77595 | + | 17.2095i | −0.0961231 | + | 0.595917i | ||||
\(835\) | −7.90094 | − | 29.4867i | −0.273423 | − | 1.02043i | ||||
\(836\) | −13.2393 | − | 6.49242i | −0.457892 | − | 0.224545i | ||||
\(837\) | 9.10961 | − | 8.11495i | 0.314874 | − | 0.280494i | ||||
\(838\) | 4.06809 | − | 17.5351i | 0.140530 | − | 0.605740i | ||||
\(839\) | −4.64393 | − | 2.68117i | −0.160326 | − | 0.0925643i | 0.417690 | − | 0.908589i | \(-0.362840\pi\) |
−0.578016 | + | 0.816025i | \(0.696173\pi\) | |||||||
\(840\) | 38.3947 | + | 27.1707i | 1.32474 | + | 0.937478i | ||||
\(841\) | −20.6847 | + | 11.9423i | −0.713267 | + | 0.411805i | ||||
\(842\) | −2.74053 | − | 8.99833i | −0.0944448 | − | 0.310103i | ||||
\(843\) | −12.5913 | + | 25.7003i | −0.433669 | + | 0.885164i | ||||
\(844\) | −4.58466 | − | 0.901367i | −0.157810 | − | 0.0310263i | ||||
\(845\) | −31.3465 | + | 31.3465i | −1.07835 | + | 1.07835i | ||||
\(846\) | −10.6041 | + | 28.7210i | −0.364577 | + | 0.987448i | ||||
\(847\) | 17.1242i | 0.588394i | ||||||||
\(848\) | −2.46148 | − | 1.87145i | −0.0845277 | − | 0.0642660i | ||||
\(849\) | −2.51829 | + | 12.8339i | −0.0864276 | + | 0.440458i | ||||
\(850\) | −24.2317 | + | 45.4557i | −0.831141 | + | 1.55912i | ||||
\(851\) | −14.1090 | + | 52.6557i | −0.483652 | + | 1.80501i | ||||
\(852\) | 3.09064 | + | 22.6340i | 0.105883 | + | 0.775427i | ||||
\(853\) | 5.89168 | + | 21.9880i | 0.201727 | + | 0.752856i | 0.990422 | + | 0.138072i | \(0.0440904\pi\) |
−0.788695 | + | 0.614785i | \(0.789243\pi\) | |||||||
\(854\) | −5.79251 | + | 24.9680i | −0.198216 | + | 0.854388i | ||||
\(855\) | 24.0804 | + | 31.0480i | 0.823533 | + | 1.06182i | ||||
\(856\) | 10.1448 | − | 12.4458i | 0.346743 | − | 0.425390i | ||||
\(857\) | −21.7367 | + | 37.6490i | −0.742510 | + | 1.28607i | 0.208839 | + | 0.977950i | \(0.433032\pi\) |
−0.951349 | + | 0.308115i | \(0.900302\pi\) | |||||||
\(858\) | 5.26584 | − | 0.538316i | 0.179773 | − | 0.0183778i | ||||
\(859\) | 0.490831 | − | 1.83181i | 0.0167469 | − | 0.0625005i | −0.957047 | − | 0.289934i | \(-0.906367\pi\) |
0.973794 | + | 0.227433i | \(0.0730334\pi\) | |||||||
\(860\) | −0.756854 | − | 11.1673i | −0.0258085 | − | 0.380803i | ||||
\(861\) | 5.68246 | − | 0.387226i | 0.193658 | − | 0.0131966i | ||||
\(862\) | −52.8392 | + | 1.78851i | −1.79971 | + | 0.0609168i | ||||
\(863\) | 5.75112 | 0.195770 | 0.0978852 | − | 0.995198i | \(-0.468792\pi\) | ||||
0.0978852 | + | 0.995198i | \(0.468792\pi\) | |||||||
\(864\) | −27.3696 | + | 10.7195i | −0.931132 | + | 0.364683i | ||||
\(865\) | −95.6627 | −3.25263 | ||||||||
\(866\) | 26.6513 | − | 0.902096i | 0.905647 | − | 0.0306545i | ||||
\(867\) | −0.210948 | + | 0.0143748i | −0.00716416 | + | 0.000488195i | ||||
\(868\) | 0.820575 | + | 12.1075i | 0.0278521 | + | 0.410957i | ||||
\(869\) | −3.53100 | + | 13.1779i | −0.119781 | + | 0.447029i | ||||
\(870\) | −65.8359 | + | 6.73027i | −2.23204 | + | 0.228177i | ||||
\(871\) | −1.50106 | + | 2.59992i | −0.0508616 | + | 0.0880949i | ||||
\(872\) | 21.2381 | + | 17.3116i | 0.719214 | + | 0.586246i | ||||
\(873\) | 14.8411 | − | 36.3609i | 0.502294 | − | 1.23063i | ||||
\(874\) | −9.13205 | + | 39.3628i | −0.308896 | + | 1.33147i | ||||
\(875\) | 9.44921 | + | 35.2649i | 0.319442 | + | 1.19217i | ||||
\(876\) | 4.11819 | + | 30.1592i | 0.139141 | + | 1.01898i | ||||
\(877\) | −10.6306 | + | 39.6739i | −0.358969 | + | 1.33969i | 0.516446 | + | 0.856320i | \(0.327255\pi\) |
−0.875415 | + | 0.483372i | \(0.839412\pi\) | |||||||
\(878\) | 5.60925 | − | 10.5223i | 0.189303 | − | 0.355109i | ||||
\(879\) | 7.89396 | − | 40.2297i | 0.266257 | − | 1.35691i | ||||
\(880\) | 30.7950 | − | 4.19345i | 1.03810 | − | 0.141361i | ||||
\(881\) | 7.20282i | 0.242669i | 0.992612 | + | 0.121335i | \(0.0387174\pi\) | ||||
−0.992612 | + | 0.121335i | \(0.961283\pi\) | |||||||
\(882\) | −0.871308 | − | 1.04818i | −0.0293385 | − | 0.0352941i | ||||
\(883\) | −30.8474 | + | 30.8474i | −1.03810 | + | 1.03810i | −0.0388519 | + | 0.999245i | \(0.512370\pi\) |
−0.999245 | + | 0.0388519i | \(0.987630\pi\) | |||||||
\(884\) | 8.39058 | + | 1.64963i | 0.282206 | + | 0.0554830i | ||||
\(885\) | 23.4600 | − | 47.8843i | 0.788599 | − | 1.60961i | ||||
\(886\) | 3.92856 | + | 12.8992i | 0.131983 | + | 0.433356i | ||||
\(887\) | 34.5994 | − | 19.9760i | 1.16173 | − | 0.670728i | 0.210016 | − | 0.977698i | \(-0.432649\pi\) |
0.951719 | + | 0.306970i | \(0.0993152\pi\) | |||||||
\(888\) | 19.0337 | − | 26.8963i | 0.638728 | − | 0.902581i | ||||
\(889\) | 10.6487 | + | 6.14801i | 0.357145 | + | 0.206198i | ||||
\(890\) | 16.8536 | − | 72.6458i | 0.564934 | − | 2.43509i | ||||
\(891\) | −9.57946 | − | 16.2023i | −0.320924 | − | 0.542796i | ||||
\(892\) | −51.6519 | − | 25.3295i | −1.72943 | − | 0.848093i | ||||
\(893\) | −6.58431 | − | 24.5730i | −0.220336 | − | 0.822304i | ||||
\(894\) | −1.46171 | + | 9.06193i | −0.0488870 | + | 0.303076i | ||||
\(895\) | 66.3904 | − | 38.3305i | 2.21919 | − | 1.28125i | ||||
\(896\) | 8.26972 | − | 28.0444i | 0.276272 | − | 0.936898i | ||||
\(897\) | −4.69819 | − | 13.7236i | −0.156868 | − | 0.458218i | ||||
\(898\) | −0.360888 | − | 10.6620i | −0.0120430 | − | 0.355795i | ||||
\(899\) | −12.0732 | − | 12.0732i | −0.402665 | − | 0.402665i | ||||
\(900\) | −50.1365 | − | 16.6064i | −1.67122 | − | 0.553547i | ||||
\(901\) | 2.26183 | − | 2.26183i | 0.0753526 | − | 0.0753526i | ||||
\(902\) | 2.56958 | − | 2.74963i | 0.0855577 | − | 0.0915525i | ||||
\(903\) | 1.29834 | − | 6.61666i | 0.0432059 | − | 0.220189i | ||||
\(904\) | 21.1222 | − | 15.2427i | 0.702513 | − | 0.506964i | ||||
\(905\) | 21.5259 | + | 37.2840i | 0.715546 | + | 1.23936i | ||||
\(906\) | −2.71369 | + | 6.04866i | −0.0901562 | + | 0.200953i | ||||
\(907\) | −43.5725 | + | 11.6752i | −1.44680 | + | 0.387670i | −0.894910 | − | 0.446246i | \(-0.852761\pi\) |
−0.551892 | + | 0.833916i | \(0.686094\pi\) | |||||||
\(908\) | −15.8105 | + | 5.40613i | −0.524691 | + | 0.179409i | ||||
\(909\) | −11.2953 | + | 4.74735i | −0.374642 | + | 0.157460i | ||||
\(910\) | 11.9062 | − | 7.42206i | 0.394685 | − | 0.246039i | ||||
\(911\) | −0.452588 | + | 0.783905i | −0.0149949 | + | 0.0259719i | −0.873425 | − | 0.486958i | \(-0.838107\pi\) |
0.858431 | + | 0.512930i | \(0.171440\pi\) | |||||||
\(912\) | 13.4263 | − | 20.4029i | 0.444589 | − | 0.675609i | ||||
\(913\) | −8.35479 | − | 14.4709i | −0.276503 | − | 0.478917i | ||||
\(914\) | 7.42504 | + | 3.95817i | 0.245598 | + | 0.130925i | ||||
\(915\) | −3.06809 | − | 45.0236i | −0.101428 | − | 1.48843i | ||||
\(916\) | 37.6656 | + | 7.40524i | 1.24451 | + | 0.244676i | ||||
\(917\) | 15.8244 | + | 15.8244i | 0.522566 | + | 0.522566i | ||||
\(918\) | −7.16734 | − | 29.5503i | −0.236558 | − | 0.975306i | ||||
\(919\) | −0.631829 | −0.0208421 | −0.0104211 | − | 0.999946i | \(-0.503317\pi\) | ||||
−0.0104211 | + | 0.999946i | \(0.503317\pi\) | |||||||
\(920\) | −30.2659 | − | 79.6092i | −0.997836 | − | 2.62464i | ||||
\(921\) | 20.8577 | − | 23.9082i | 0.687285 | − | 0.787803i | ||||
\(922\) | −10.1531 | − | 33.3371i | −0.334376 | − | 1.09790i | ||||
\(923\) | 6.58179 | + | 1.76359i | 0.216642 | + | 0.0580492i | ||||
\(924\) | 18.5740 | + | 2.35449i | 0.611041 | + | 0.0774571i | ||||
\(925\) | 57.1873 | − | 15.3233i | 1.88031 | − | 0.503826i | ||||
\(926\) | 28.8496 | − | 17.9843i | 0.948057 | − | 0.591000i | ||||
\(927\) | 8.19525 | + | 10.5665i | 0.269167 | + | 0.347050i | ||||
\(928\) | 17.1856 | + | 37.3760i | 0.564144 | + | 1.22693i | ||||
\(929\) | −21.7169 | − | 12.5383i | −0.712509 | − | 0.411367i | 0.0994805 | − | 0.995040i | \(-0.468282\pi\) |
−0.811989 | + | 0.583672i | \(0.801615\pi\) | |||||||
\(930\) | −7.60020 | − | 19.9689i | −0.249220 | − | 0.654805i | ||||
\(931\) | 1.09399 | + | 0.293135i | 0.0358542 | + | 0.00960711i | ||||
\(932\) | −5.91175 | + | 0.400662i | −0.193646 | + | 0.0131241i | ||||
\(933\) | −6.21362 | + | 4.17512i | −0.203425 | + | 0.136687i | ||||
\(934\) | −37.0721 | − | 34.6446i | −1.21304 | − | 1.13361i | ||||
\(935\) | 32.1505i | 1.05143i | ||||||||
\(936\) | −0.212297 | + | 8.76512i | −0.00693916 | + | 0.286497i | ||||
\(937\) | 40.0398i | 1.30804i | 0.756476 | + | 0.654021i | \(0.226919\pi\) | ||||
−0.756476 | + | 0.654021i | \(0.773081\pi\) | |||||||
\(938\) | −7.25027 | + | 7.75828i | −0.236730 | + | 0.253317i | ||||
\(939\) | −24.7600 | − | 12.1307i | −0.808011 | − | 0.395870i | ||||
\(940\) | 40.3916 | + | 35.2642i | 1.31743 | + | 1.15019i | ||||
\(941\) | −10.3853 | − | 2.78273i | −0.338551 | − | 0.0907146i | 0.0855380 | − | 0.996335i | \(-0.472739\pi\) |
−0.424089 | + | 0.905620i | \(0.639406\pi\) | |||||||
\(942\) | 1.93602 | − | 12.0024i | 0.0630791 | − | 0.391060i | ||||
\(943\) | −8.93140 | − | 5.15654i | −0.290846 | − | 0.167920i | ||||
\(944\) | −32.8812 | − | 4.18042i | −1.07019 | − | 0.136061i | ||||
\(945\) | −41.6955 | − | 27.3940i | −1.35636 | − | 0.891128i | ||||
\(946\) | −2.35692 | − | 3.78087i | −0.0766301 | − | 0.122927i | ||||
\(947\) | −37.6297 | + | 10.0828i | −1.22280 | + | 0.327648i | −0.811772 | − | 0.583975i | \(-0.801497\pi\) |
−0.411028 | + | 0.911623i | \(0.634830\pi\) | |||||||
\(948\) | −20.9188 | − | 8.54721i | −0.679411 | − | 0.277601i | ||||
\(949\) | 8.77007 | + | 2.34993i | 0.284689 | + | 0.0762821i | ||||
\(950\) | 41.9819 | − | 12.7860i | 1.36207 | − | 0.414832i | ||||
\(951\) | −16.6745 | − | 48.7069i | −0.540708 | − | 1.57943i | ||||
\(952\) | 27.5915 | + | 12.3910i | 0.894247 | + | 0.401593i | ||||
\(953\) | −7.83389 | −0.253765 | −0.126882 | − | 0.991918i | \(-0.540497\pi\) | ||||
−0.126882 | + | 0.991918i | \(0.540497\pi\) | |||||||
\(954\) | 2.67785 | + | 1.89355i | 0.0866986 | + | 0.0613059i | ||||
\(955\) | 14.7419 | + | 14.7419i | 0.477037 | + | 0.477037i | ||||
\(956\) | 11.4692 | + | 17.0826i | 0.370939 | + | 0.552489i | ||||
\(957\) | −21.8650 | + | 14.6917i | −0.706794 | + | 0.474916i | ||||
\(958\) | −0.663470 | + | 1.24459i | −0.0214358 | + | 0.0402108i | ||||
\(959\) | −21.4388 | − | 37.1331i | −0.692295 | − | 1.19909i | ||||
\(960\) | 0.476211 | + | 51.4768i | 0.0153696 | + | 1.66141i | ||||
\(961\) | −12.7438 | + | 22.0728i | −0.411089 | + | 0.712027i | ||||
\(962\) | −5.19931 | − | 8.34051i | −0.167633 | − | 0.268909i | ||||
\(963\) | −10.2975 | + | 13.5648i | −0.331833 | + | 0.437121i | ||||
\(964\) | −22.6704 | + | 46.2295i | −0.730163 | + | 1.48895i | ||||
\(965\) | 90.2370 | − | 24.1789i | 2.90483 | − | 0.778347i | ||||
\(966\) | −5.21781 | − | 51.0409i | −0.167880 | − | 1.64222i | ||||
\(967\) | 22.1358 | + | 38.3403i | 0.711839 | + | 1.23294i | 0.964166 | + | 0.265299i | \(0.0854706\pi\) |
−0.252328 | + | 0.967642i | \(0.581196\pi\) | |||||||
\(968\) | −15.1977 | + | 10.9673i | −0.488471 | + | 0.352502i | ||||
\(969\) | 19.0392 | + | 16.6099i | 0.611627 | + | 0.533588i | ||||
\(970\) | −50.2529 | − | 46.9623i | −1.61352 | − | 1.50787i | ||||
\(971\) | 28.0737 | − | 28.0737i | 0.900928 | − | 0.900928i | −0.0945888 | − | 0.995516i | \(-0.530154\pi\) |
0.995516 | + | 0.0945888i | \(0.0301536\pi\) | |||||||
\(972\) | 28.6195 | − | 12.3663i | 0.917970 | − | 0.396650i | ||||
\(973\) | 13.0048 | + | 13.0048i | 0.416914 | + | 0.416914i | ||||
\(974\) | 26.6281 | − | 0.901312i | 0.853221 | − | 0.0288799i | ||||
\(975\) | −10.3566 | + | 11.8712i | −0.331675 | + | 0.380184i | ||||
\(976\) | −25.8689 | + | 10.8501i | −0.828042 | + | 0.347303i | ||||
\(977\) | −14.8614 | + | 8.58022i | −0.475458 | + | 0.274506i | −0.718522 | − | 0.695505i | \(-0.755181\pi\) |
0.243064 | + | 0.970010i | \(0.421848\pi\) | |||||||
\(978\) | 18.3818 | − | 22.5681i | 0.587786 | − | 0.721647i | ||||
\(979\) | −7.68293 | − | 28.6731i | −0.245547 | − | 0.916396i | ||||
\(980\) | −2.25875 | + | 0.772342i | −0.0721533 | + | 0.0246715i | ||||
\(981\) | −23.1477 | − | 17.5722i | −0.739048 | − | 0.561036i | ||||
\(982\) | −0.763058 | − | 0.177027i | −0.0243502 | − | 0.00564916i | ||||
\(983\) | −26.8455 | − | 15.4993i | −0.856240 | − | 0.494350i | 0.00651160 | − | 0.999979i | \(-0.497927\pi\) |
−0.862751 | + | 0.505629i | \(0.831261\pi\) | |||||||
\(984\) | 3.98303 | + | 4.79516i | 0.126974 | + | 0.152864i | ||||
\(985\) | 19.6423 | − | 11.3405i | 0.625854 | − | 0.361337i | ||||
\(986\) | −40.7096 | + | 12.3985i | −1.29646 | + | 0.394848i | ||||
\(987\) | 18.0151 | + | 26.8110i | 0.573428 | + | 0.853405i | ||||
\(988\) | −4.06096 | − | 6.04854i | −0.129196 | − | 0.192430i | ||||
\(989\) | −8.63324 | + | 8.63324i | −0.274521 | + | 0.274521i | ||||
\(990\) | −32.4898 | + | 5.57418i | −1.03259 | + | 0.177159i | ||||
\(991\) | 37.2374i | 1.18289i | 0.806347 | + | 0.591443i | \(0.201442\pi\) | ||||
−0.806347 | + | 0.591443i | \(0.798558\pi\) | |||||||
\(992\) | −10.2199 | + | 8.48260i | −0.324481 | + | 0.269323i | ||||
\(993\) | −3.22523 | + | 1.10414i | −0.102349 | + | 0.0350387i | ||||
\(994\) | 21.2682 | + | 11.3377i | 0.674586 | + | 0.359611i | ||||
\(995\) | 14.1008 | − | 52.6247i | 0.447024 | − | 1.66832i | ||||
\(996\) | 25.5194 | − | 10.7145i | 0.808612 | − | 0.339504i | ||||
\(997\) | −3.73234 | − | 13.9293i | −0.118204 | − | 0.441145i | 0.881302 | − | 0.472553i | \(-0.156667\pi\) |
−0.999507 | + | 0.0314082i | \(0.990001\pi\) | |||||||
\(998\) | 60.1687 | + | 13.9590i | 1.90461 | + | 0.441863i | ||||
\(999\) | −19.1901 | + | 29.2086i | −0.607148 | + | 0.924120i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 144.2.u.a.83.2 | yes | 88 | |
3.2 | odd | 2 | 432.2.v.a.35.21 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.47.1 | 88 | |||
9.4 | even | 3 | 432.2.v.a.179.14 | 88 | |||
9.5 | odd | 6 | inner | 144.2.u.a.131.9 | yes | 88 | |
12.11 | even | 2 | 1728.2.z.a.1007.21 | 88 | |||
16.5 | even | 4 | 576.2.y.a.335.10 | 88 | |||
16.11 | odd | 4 | inner | 144.2.u.a.11.9 | ✓ | 88 | |
36.23 | even | 6 | 576.2.y.a.239.10 | 88 | |||
36.31 | odd | 6 | 1728.2.z.a.1583.21 | 88 | |||
48.5 | odd | 4 | 1728.2.z.a.143.21 | 88 | |||
48.11 | even | 4 | 432.2.v.a.251.14 | 88 | |||
144.5 | odd | 12 | 576.2.y.a.527.1 | 88 | |||
144.59 | even | 12 | inner | 144.2.u.a.59.2 | yes | 88 | |
144.85 | even | 12 | 1728.2.z.a.719.21 | 88 | |||
144.139 | odd | 12 | 432.2.v.a.395.21 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.9 | ✓ | 88 | 16.11 | odd | 4 | inner | |
144.2.u.a.59.2 | yes | 88 | 144.59 | even | 12 | inner | |
144.2.u.a.83.2 | yes | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.131.9 | yes | 88 | 9.5 | odd | 6 | inner | |
432.2.v.a.35.21 | 88 | 3.2 | odd | 2 | |||
432.2.v.a.179.14 | 88 | 9.4 | even | 3 | |||
432.2.v.a.251.14 | 88 | 48.11 | even | 4 | |||
432.2.v.a.395.21 | 88 | 144.139 | odd | 12 | |||
576.2.y.a.47.1 | 88 | 4.3 | odd | 2 | |||
576.2.y.a.239.10 | 88 | 36.23 | even | 6 | |||
576.2.y.a.335.10 | 88 | 16.5 | even | 4 | |||
576.2.y.a.527.1 | 88 | 144.5 | odd | 12 | |||
1728.2.z.a.143.21 | 88 | 48.5 | odd | 4 | |||
1728.2.z.a.719.21 | 88 | 144.85 | even | 12 | |||
1728.2.z.a.1007.21 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.1583.21 | 88 | 36.31 | odd | 6 |