Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [138,2,Mod(13,138)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(138, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("138.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 138 = 2 \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 138.e (of order \(11\), degree \(10\), 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: | \(1.10193554789\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 85.1 | ||
Root | \(0.654861 - 0.755750i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 138.85 |
Dual form | 138.2.e.d.13.1 |
$q$-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 \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(97\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.654861 | − | 0.755750i | 0.463056 | − | 0.534396i | ||||
\(3\) | −0.841254 | + | 0.540641i | −0.485698 | + | 0.312139i | ||||
\(4\) | −0.142315 | − | 0.989821i | −0.0711574 | − | 0.494911i | ||||
\(5\) | −1.37787 | − | 3.01713i | −0.616204 | − | 1.34930i | −0.918248 | − | 0.396005i | \(-0.870396\pi\) |
0.302044 | − | 0.953294i | \(-0.402331\pi\) | |||||||
\(6\) | −0.142315 | + | 0.989821i | −0.0580998 | + | 0.404093i | ||||
\(7\) | 3.66820 | − | 1.07708i | 1.38645 | − | 0.407098i | 0.498440 | − | 0.866924i | \(-0.333907\pi\) |
0.888009 | + | 0.459826i | \(0.152088\pi\) | |||||||
\(8\) | −0.841254 | − | 0.540641i | −0.297428 | − | 0.191145i | ||||
\(9\) | 0.415415 | − | 0.909632i | 0.138472 | − | 0.303211i | ||||
\(10\) | −3.18251 | − | 0.934468i | −1.00640 | − | 0.295505i | ||||
\(11\) | 0.230471 | + | 0.265977i | 0.0694895 | + | 0.0801952i | 0.789430 | − | 0.613841i | \(-0.210376\pi\) |
−0.719940 | + | 0.694036i | \(0.755831\pi\) | |||||||
\(12\) | 0.654861 | + | 0.755750i | 0.189042 | + | 0.218166i | ||||
\(13\) | −0.367451 | − | 0.107893i | −0.101913 | − | 0.0299243i | 0.230379 | − | 0.973101i | \(-0.426004\pi\) |
−0.332291 | + | 0.943177i | \(0.607822\pi\) | |||||||
\(14\) | 1.58816 | − | 3.47758i | 0.424453 | − | 0.929421i | ||||
\(15\) | 2.79032 | + | 1.79323i | 0.720458 | + | 0.463010i | ||||
\(16\) | −0.959493 | + | 0.281733i | −0.239873 | + | 0.0704331i | ||||
\(17\) | −1.03578 | + | 7.20399i | −0.251213 | + | 1.74722i | 0.339742 | + | 0.940519i | \(0.389660\pi\) |
−0.590955 | + | 0.806705i | \(0.701249\pi\) | |||||||
\(18\) | −0.415415 | − | 0.909632i | −0.0979143 | − | 0.214402i | ||||
\(19\) | 0.592229 | + | 4.11904i | 0.135867 | + | 0.944973i | 0.937705 | + | 0.347432i | \(0.112946\pi\) |
−0.801839 | + | 0.597541i | \(0.796145\pi\) | |||||||
\(20\) | −2.79032 | + | 1.79323i | −0.623935 | + | 0.400979i | ||||
\(21\) | −2.50357 | + | 2.88927i | −0.546324 | + | 0.630491i | ||||
\(22\) | 0.351939 | 0.0750336 | ||||||||
\(23\) | −0.368423 | − | 4.78166i | −0.0768216 | − | 0.997045i | ||||
\(24\) | 1.00000 | 0.204124 | ||||||||
\(25\) | −3.93020 | + | 4.53569i | −0.786040 | + | 0.907139i | ||||
\(26\) | −0.322170 | + | 0.207046i | −0.0631827 | + | 0.0406051i | ||||
\(27\) | 0.142315 | + | 0.989821i | 0.0273885 | + | 0.190491i | ||||
\(28\) | −1.58816 | − | 3.47758i | −0.300133 | − | 0.657200i | ||||
\(29\) | 0.637728 | − | 4.43549i | 0.118423 | − | 0.823650i | −0.840870 | − | 0.541237i | \(-0.817956\pi\) |
0.959293 | − | 0.282413i | \(-0.0911348\pi\) | |||||||
\(30\) | 3.18251 | − | 0.934468i | 0.581044 | − | 0.170610i | ||||
\(31\) | 3.65812 | + | 2.35093i | 0.657017 | + | 0.422239i | 0.826224 | − | 0.563341i | \(-0.190484\pi\) |
−0.169207 | + | 0.985581i | \(0.554121\pi\) | |||||||
\(32\) | −0.415415 | + | 0.909632i | −0.0734357 | + | 0.160802i | ||||
\(33\) | −0.337683 | − | 0.0991526i | −0.0587830 | − | 0.0172602i | ||||
\(34\) | 4.76612 | + | 5.50040i | 0.817383 | + | 0.943310i | ||||
\(35\) | −8.30400 | − | 9.58333i | −1.40363 | − | 1.61988i | ||||
\(36\) | −0.959493 | − | 0.281733i | −0.159915 | − | 0.0469554i | ||||
\(37\) | −3.04045 | + | 6.65767i | −0.499848 | + | 1.09451i | 0.476671 | + | 0.879082i | \(0.341843\pi\) |
−0.976519 | + | 0.215432i | \(0.930884\pi\) | |||||||
\(38\) | 3.50079 | + | 2.24982i | 0.567903 | + | 0.364969i | ||||
\(39\) | 0.367451 | − | 0.107893i | 0.0588393 | − | 0.0172768i | ||||
\(40\) | −0.472039 | + | 3.28310i | −0.0746359 | + | 0.519104i | ||||
\(41\) | 2.92426 | + | 6.40324i | 0.456693 | + | 1.00002i | 0.988229 | + | 0.152982i | \(0.0488878\pi\) |
−0.531536 | + | 0.847036i | \(0.678385\pi\) | |||||||
\(42\) | 0.544078 | + | 3.78415i | 0.0839531 | + | 0.583906i | ||||
\(43\) | 7.42019 | − | 4.76867i | 1.13157 | − | 0.727215i | 0.165681 | − | 0.986179i | \(-0.447018\pi\) |
0.965887 | + | 0.258965i | \(0.0833813\pi\) | |||||||
\(44\) | 0.230471 | − | 0.265977i | 0.0347448 | − | 0.0400976i | ||||
\(45\) | −3.31686 | −0.494449 | ||||||||
\(46\) | −3.85500 | − | 2.85288i | −0.568389 | − | 0.420635i | ||||
\(47\) | 10.6682 | 1.55611 | 0.778056 | − | 0.628194i | \(-0.216206\pi\) | ||||
0.778056 | + | 0.628194i | \(0.216206\pi\) | |||||||
\(48\) | 0.654861 | − | 0.755750i | 0.0945210 | − | 0.109083i | ||||
\(49\) | 6.40680 | − | 4.11740i | 0.915257 | − | 0.588200i | ||||
\(50\) | 0.854114 | + | 5.94049i | 0.120790 | + | 0.840113i | ||||
\(51\) | −3.02342 | − | 6.62036i | −0.423363 | − | 0.927036i | ||||
\(52\) | −0.0545015 | + | 0.379066i | −0.00755799 | + | 0.0525670i | ||||
\(53\) | −2.43282 | + | 0.714342i | −0.334174 | + | 0.0981224i | −0.444515 | − | 0.895771i | \(-0.646624\pi\) |
0.110341 | + | 0.993894i | \(0.464806\pi\) | |||||||
\(54\) | 0.841254 | + | 0.540641i | 0.114480 | + | 0.0735719i | ||||
\(55\) | 0.484927 | − | 1.06184i | 0.0653876 | − | 0.143179i | ||||
\(56\) | −3.66820 | − | 1.07708i | −0.490184 | − | 0.143931i | ||||
\(57\) | −2.72514 | − | 3.14498i | −0.360953 | − | 0.416562i | ||||
\(58\) | −2.93450 | − | 3.38659i | −0.385319 | − | 0.444681i | ||||
\(59\) | −7.57270 | − | 2.22355i | −0.985882 | − | 0.289481i | −0.251232 | − | 0.967927i | \(-0.580836\pi\) |
−0.734650 | + | 0.678446i | \(0.762654\pi\) | |||||||
\(60\) | 1.37787 | − | 3.01713i | 0.177883 | − | 0.389509i | ||||
\(61\) | −10.6433 | − | 6.84001i | −1.36273 | − | 0.875774i | −0.364273 | − | 0.931292i | \(-0.618683\pi\) |
−0.998458 | + | 0.0555183i | \(0.982319\pi\) | |||||||
\(62\) | 4.17227 | − | 1.22509i | 0.529879 | − | 0.155586i | ||||
\(63\) | 0.544078 | − | 3.78415i | 0.0685474 | − | 0.476757i | ||||
\(64\) | 0.415415 | + | 0.909632i | 0.0519269 | + | 0.113704i | ||||
\(65\) | 0.180774 | + | 1.25731i | 0.0224222 | + | 0.155950i | ||||
\(66\) | −0.296070 | + | 0.190272i | −0.0364436 | + | 0.0234209i | ||||
\(67\) | −3.67231 | + | 4.23807i | −0.448644 | + | 0.517763i | −0.934349 | − | 0.356360i | \(-0.884018\pi\) |
0.485705 | + | 0.874123i | \(0.338563\pi\) | |||||||
\(68\) | 7.27807 | 0.882595 | ||||||||
\(69\) | 2.89510 | + | 3.82340i | 0.348529 | + | 0.460284i | ||||
\(70\) | −12.6806 | −1.51562 | ||||||||
\(71\) | 0.217114 | − | 0.250563i | 0.0257667 | − | 0.0297363i | −0.742720 | − | 0.669602i | \(-0.766465\pi\) |
0.768487 | + | 0.639866i | \(0.221010\pi\) | |||||||
\(72\) | −0.841254 | + | 0.540641i | −0.0991427 | + | 0.0637151i | ||||
\(73\) | −0.0995577 | − | 0.692439i | −0.0116524 | − | 0.0810439i | 0.983165 | − | 0.182717i | \(-0.0584894\pi\) |
−0.994818 | + | 0.101674i | \(0.967580\pi\) | |||||||
\(74\) | 3.04045 | + | 6.65767i | 0.353446 | + | 0.773938i | ||||
\(75\) | 0.854114 | − | 5.94049i | 0.0986246 | − | 0.685949i | ||||
\(76\) | 3.99283 | − | 1.17240i | 0.458009 | − | 0.134484i | ||||
\(77\) | 1.13189 | + | 0.727422i | 0.128991 | + | 0.0828975i | ||||
\(78\) | 0.159089 | − | 0.348356i | 0.0180133 | − | 0.0394436i | ||||
\(79\) | −15.4749 | − | 4.54383i | −1.74106 | − | 0.511221i | −0.752054 | − | 0.659102i | \(-0.770937\pi\) |
−0.989005 | + | 0.147881i | \(0.952755\pi\) | |||||||
\(80\) | 2.17208 | + | 2.50672i | 0.242846 | + | 0.280260i | ||||
\(81\) | −0.654861 | − | 0.755750i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | 6.75423 | + | 1.98322i | 0.745880 | + | 0.219010i | ||||
\(83\) | −1.92508 | + | 4.21533i | −0.211304 | + | 0.462692i | −0.985373 | − | 0.170409i | \(-0.945491\pi\) |
0.774069 | + | 0.633101i | \(0.218218\pi\) | |||||||
\(84\) | 3.21616 | + | 2.06690i | 0.350912 | + | 0.225517i | ||||
\(85\) | 23.1625 | − | 6.80112i | 2.51233 | − | 0.737685i | ||||
\(86\) | 1.25527 | − | 8.73062i | 0.135360 | − | 0.941447i | ||||
\(87\) | 1.86152 | + | 4.07616i | 0.199576 | + | 0.437010i | ||||
\(88\) | −0.0500861 | − | 0.348356i | −0.00533919 | − | 0.0371349i | ||||
\(89\) | −7.41760 | + | 4.76700i | −0.786264 | + | 0.505301i | −0.871107 | − | 0.491093i | \(-0.836598\pi\) |
0.0848429 | + | 0.996394i | \(0.472961\pi\) | |||||||
\(90\) | −2.17208 | + | 2.50672i | −0.228958 | + | 0.264231i | ||||
\(91\) | −1.46409 | −0.153479 | ||||||||
\(92\) | −4.68056 | + | 1.04517i | −0.487982 | + | 0.108967i | ||||
\(93\) | −4.34841 | −0.450909 | ||||||||
\(94\) | 6.98617 | − | 8.06247i | 0.720568 | − | 0.831580i | ||||
\(95\) | 11.6116 | − | 7.46235i | 1.19133 | − | 0.765621i | ||||
\(96\) | −0.142315 | − | 0.989821i | −0.0145249 | − | 0.101023i | ||||
\(97\) | −4.66501 | − | 10.2150i | −0.473660 | − | 1.03717i | −0.984158 | − | 0.177293i | \(-0.943266\pi\) |
0.510498 | − | 0.859879i | \(-0.329461\pi\) | |||||||
\(98\) | 1.08384 | − | 7.53826i | 0.109484 | − | 0.761479i | ||||
\(99\) | 0.337683 | − | 0.0991526i | 0.0339384 | − | 0.00996521i | ||||
\(100\) | 5.04885 | + | 3.24470i | 0.504885 | + | 0.324470i | ||||
\(101\) | −2.30782 | + | 5.05341i | −0.229636 | + | 0.502833i | −0.989015 | − | 0.147816i | \(-0.952776\pi\) |
0.759379 | + | 0.650649i | \(0.225503\pi\) | |||||||
\(102\) | −6.98325 | − | 2.05047i | −0.691445 | − | 0.203027i | ||||
\(103\) | 6.71619 | + | 7.75090i | 0.661766 | + | 0.763718i | 0.983065 | − | 0.183259i | \(-0.0586648\pi\) |
−0.321299 | + | 0.946978i | \(0.604119\pi\) | |||||||
\(104\) | 0.250788 | + | 0.289425i | 0.0245918 | + | 0.0283804i | ||||
\(105\) | 12.1669 | + | 3.57253i | 1.18737 | + | 0.348643i | ||||
\(106\) | −1.05330 | + | 2.30640i | −0.102305 | + | 0.224017i | ||||
\(107\) | 8.99116 | + | 5.77827i | 0.869208 | + | 0.558606i | 0.897510 | − | 0.440993i | \(-0.145374\pi\) |
−0.0283023 | + | 0.999599i | \(0.509010\pi\) | |||||||
\(108\) | 0.959493 | − | 0.281733i | 0.0923273 | − | 0.0271097i | ||||
\(109\) | 2.35760 | − | 16.3975i | 0.225817 | − | 1.57059i | −0.489632 | − | 0.871929i | \(-0.662869\pi\) |
0.715449 | − | 0.698665i | \(-0.246222\pi\) | |||||||
\(110\) | −0.484927 | − | 1.06184i | −0.0462360 | − | 0.101243i | ||||
\(111\) | −1.04161 | − | 7.24458i | −0.0988655 | − | 0.687625i | ||||
\(112\) | −3.21616 | + | 2.06690i | −0.303899 | + | 0.195304i | ||||
\(113\) | −8.58753 | + | 9.91053i | −0.807847 | + | 0.932305i | −0.998784 | − | 0.0492976i | \(-0.984302\pi\) |
0.190938 | + | 0.981602i | \(0.438847\pi\) | |||||||
\(114\) | −4.16140 | −0.389751 | ||||||||
\(115\) | −13.9192 | + | 7.70011i | −1.29797 | + | 0.718039i | ||||
\(116\) | −4.48110 | −0.416060 | ||||||||
\(117\) | −0.250788 | + | 0.289425i | −0.0231854 | + | 0.0267573i | ||||
\(118\) | −6.63951 | + | 4.26695i | −0.611216 | + | 0.392805i | ||||
\(119\) | 3.95984 | + | 27.5413i | 0.362998 | + | 2.52470i | ||||
\(120\) | −1.37787 | − | 3.01713i | −0.125782 | − | 0.275425i | ||||
\(121\) | 1.54784 | − | 10.7654i | 0.140712 | − | 0.978676i | ||||
\(122\) | −12.1392 | + | 3.56439i | −1.09903 | + | 0.322705i | ||||
\(123\) | −5.92190 | − | 3.80577i | −0.533960 | − | 0.343155i | ||||
\(124\) | 1.80640 | − | 3.95545i | 0.162219 | − | 0.355210i | ||||
\(125\) | 3.18754 | + | 0.935947i | 0.285103 | + | 0.0837137i | ||||
\(126\) | −2.50357 | − | 2.88927i | −0.223036 | − | 0.257397i | ||||
\(127\) | 9.98886 | + | 11.5278i | 0.886368 | + | 1.02292i | 0.999569 | + | 0.0293507i | \(0.00934396\pi\) |
−0.113202 | + | 0.993572i | \(0.536111\pi\) | |||||||
\(128\) | 0.959493 | + | 0.281733i | 0.0848080 | + | 0.0249019i | ||||
\(129\) | −3.66412 | + | 8.02331i | −0.322608 | + | 0.706413i | ||||
\(130\) | 1.06859 | + | 0.686743i | 0.0937218 | + | 0.0602314i | ||||
\(131\) | 3.87151 | − | 1.13678i | 0.338255 | − | 0.0993207i | −0.108194 | − | 0.994130i | \(-0.534507\pi\) |
0.446449 | + | 0.894809i | \(0.352688\pi\) | |||||||
\(132\) | −0.0500861 | + | 0.348356i | −0.00435943 | + | 0.0303205i | ||||
\(133\) | 6.60895 | + | 14.4716i | 0.573069 | + | 1.25485i | ||||
\(134\) | 0.798069 | + | 5.55069i | 0.0689427 | + | 0.479507i | ||||
\(135\) | 2.79032 | − | 1.79323i | 0.240153 | − | 0.154337i | ||||
\(136\) | 4.76612 | − | 5.50040i | 0.408691 | − | 0.471655i | ||||
\(137\) | 4.16447 | 0.355795 | 0.177898 | − | 0.984049i | \(-0.443070\pi\) | ||||
0.177898 | + | 0.984049i | \(0.443070\pi\) | |||||||
\(138\) | 4.78542 | + | 0.315828i | 0.407362 | + | 0.0268850i | ||||
\(139\) | 2.19178 | 0.185904 | 0.0929521 | − | 0.995671i | \(-0.470370\pi\) | ||||
0.0929521 | + | 0.995671i | \(0.470370\pi\) | |||||||
\(140\) | −8.30400 | + | 9.58333i | −0.701816 | + | 0.809939i | ||||
\(141\) | −8.97464 | + | 5.76765i | −0.755801 | + | 0.485724i | ||||
\(142\) | −0.0471833 | − | 0.328167i | −0.00395954 | − | 0.0275392i | ||||
\(143\) | −0.0559896 | − | 0.122600i | −0.00468208 | − | 0.0102523i | ||||
\(144\) | −0.142315 | + | 0.989821i | −0.0118596 | + | 0.0824851i | ||||
\(145\) | −14.2611 | + | 4.18745i | −1.18432 | + | 0.347749i | ||||
\(146\) | −0.588507 | − | 0.378211i | −0.0487052 | − | 0.0313009i | ||||
\(147\) | −3.16371 | + | 6.92755i | −0.260938 | + | 0.571375i | ||||
\(148\) | 7.02260 | + | 2.06202i | 0.577254 | + | 0.169497i | ||||
\(149\) | 0.901293 | + | 1.04015i | 0.0738368 | + | 0.0852122i | 0.791466 | − | 0.611213i | \(-0.209318\pi\) |
−0.717629 | + | 0.696425i | \(0.754773\pi\) | |||||||
\(150\) | −3.93020 | − | 4.53569i | −0.320900 | − | 0.370338i | ||||
\(151\) | −12.9802 | − | 3.81132i | −1.05631 | − | 0.310161i | −0.292946 | − | 0.956129i | \(-0.594636\pi\) |
−0.763364 | + | 0.645968i | \(0.776454\pi\) | |||||||
\(152\) | 1.72871 | − | 3.78534i | 0.140217 | − | 0.307032i | ||||
\(153\) | 6.12270 | + | 3.93482i | 0.494991 | + | 0.318111i | ||||
\(154\) | 1.29098 | − | 0.379066i | 0.104030 | − | 0.0305460i | ||||
\(155\) | 2.05262 | − | 14.2763i | 0.164870 | − | 1.14670i | ||||
\(156\) | −0.159089 | − | 0.348356i | −0.0127373 | − | 0.0278908i | ||||
\(157\) | 2.04059 | + | 14.1926i | 0.162857 | + | 1.13270i | 0.893215 | + | 0.449630i | \(0.148444\pi\) |
−0.730358 | + | 0.683065i | \(0.760647\pi\) | |||||||
\(158\) | −13.5679 | + | 8.71955i | −1.07940 | + | 0.693690i | ||||
\(159\) | 1.66042 | − | 1.91623i | 0.131680 | − | 0.151967i | ||||
\(160\) | 3.31686 | 0.262221 | ||||||||
\(161\) | −6.50168 | − | 17.1433i | −0.512404 | − | 1.35108i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 4.88246 | − | 5.63466i | 0.382424 | − | 0.441341i | −0.531603 | − | 0.846993i | \(-0.678410\pi\) |
0.914027 | + | 0.405653i | \(0.132956\pi\) | |||||||
\(164\) | 5.92190 | − | 3.80577i | 0.462423 | − | 0.297181i | ||||
\(165\) | 0.166129 | + | 1.15545i | 0.0129331 | + | 0.0899517i | ||||
\(166\) | 1.92508 | + | 4.21533i | 0.149415 | + | 0.327173i | ||||
\(167\) | −0.0534699 | + | 0.371891i | −0.00413763 | + | 0.0287778i | −0.991786 | − | 0.127911i | \(-0.959173\pi\) |
0.987648 | + | 0.156689i | \(0.0500819\pi\) | |||||||
\(168\) | 3.66820 | − | 1.07708i | 0.283008 | − | 0.0830985i | ||||
\(169\) | −10.8129 | − | 6.94904i | −0.831763 | − | 0.534541i | ||||
\(170\) | 10.0283 | − | 21.9588i | 0.769133 | − | 1.68417i | ||||
\(171\) | 3.99283 | + | 1.17240i | 0.305340 | + | 0.0896558i | ||||
\(172\) | −5.77613 | − | 6.66601i | −0.440426 | − | 0.508279i | ||||
\(173\) | −10.3056 | − | 11.8933i | −0.783519 | − | 0.904229i | 0.213840 | − | 0.976869i | \(-0.431403\pi\) |
−0.997358 | + | 0.0726401i | \(0.976858\pi\) | |||||||
\(174\) | 4.29959 | + | 1.26247i | 0.325951 | + | 0.0957078i | ||||
\(175\) | −9.53145 | + | 20.8710i | −0.720510 | + | 1.57770i | ||||
\(176\) | −0.296070 | − | 0.190272i | −0.0223171 | − | 0.0143423i | ||||
\(177\) | 7.57270 | − | 2.22355i | 0.569199 | − | 0.167132i | ||||
\(178\) | −1.25484 | + | 8.72757i | −0.0940539 | + | 0.654159i | ||||
\(179\) | −2.48154 | − | 5.43382i | −0.185479 | − | 0.406143i | 0.793935 | − | 0.608002i | \(-0.208029\pi\) |
−0.979415 | + | 0.201859i | \(0.935302\pi\) | |||||||
\(180\) | 0.472039 | + | 3.28310i | 0.0351837 | + | 0.244708i | ||||
\(181\) | −15.4007 | + | 9.89742i | −1.14472 | + | 0.735669i | −0.968582 | − | 0.248696i | \(-0.919998\pi\) |
−0.176142 | + | 0.984365i | \(0.556362\pi\) | |||||||
\(182\) | −0.958778 | + | 1.10649i | −0.0710693 | + | 0.0820184i | ||||
\(183\) | 12.6517 | 0.935239 | ||||||||
\(184\) | −2.27522 | + | 4.22177i | −0.167732 | + | 0.311233i | ||||
\(185\) | 24.2764 | 1.78483 | ||||||||
\(186\) | −2.84760 | + | 3.28631i | −0.208796 | + | 0.240964i | ||||
\(187\) | −2.15481 | + | 1.38481i | −0.157576 | + | 0.101268i | ||||
\(188\) | −1.51824 | − | 10.5596i | −0.110729 | − | 0.770137i | ||||
\(189\) | 1.58816 | + | 3.47758i | 0.115521 | + | 0.252956i | ||||
\(190\) | 1.96434 | − | 13.6623i | 0.142508 | − | 0.991167i | ||||
\(191\) | 7.79149 | − | 2.28779i | 0.563773 | − | 0.165539i | 0.0125864 | − | 0.999921i | \(-0.495994\pi\) |
0.551186 | + | 0.834382i | \(0.314175\pi\) | |||||||
\(192\) | −0.841254 | − | 0.540641i | −0.0607122 | − | 0.0390174i | ||||
\(193\) | 6.21393 | − | 13.6066i | 0.447288 | − | 0.979425i | −0.542914 | − | 0.839788i | \(-0.682679\pi\) |
0.990203 | − | 0.139637i | \(-0.0445935\pi\) | |||||||
\(194\) | −10.7749 | − | 3.16379i | −0.773591 | − | 0.227147i | ||||
\(195\) | −0.831830 | − | 0.959983i | −0.0595686 | − | 0.0687458i | ||||
\(196\) | −4.98727 | − | 5.75562i | −0.356234 | − | 0.411116i | ||||
\(197\) | 19.6536 | + | 5.77082i | 1.40026 | + | 0.411154i | 0.892774 | − | 0.450505i | \(-0.148756\pi\) |
0.507487 | + | 0.861659i | \(0.330574\pi\) | |||||||
\(198\) | 0.146201 | − | 0.320135i | 0.0103900 | − | 0.0227510i | ||||
\(199\) | 11.8433 | + | 7.61124i | 0.839551 | + | 0.539547i | 0.888300 | − | 0.459264i | \(-0.151887\pi\) |
−0.0487487 | + | 0.998811i | \(0.515523\pi\) | |||||||
\(200\) | 5.75848 | − | 1.69084i | 0.407186 | − | 0.119561i | ||||
\(201\) | 0.798069 | − | 5.55069i | 0.0562914 | − | 0.391516i | ||||
\(202\) | 2.30782 | + | 5.05341i | 0.162377 | + | 0.355557i | ||||
\(203\) | −2.43807 | − | 16.9571i | −0.171119 | − | 1.19016i | ||||
\(204\) | −6.12270 | + | 3.93482i | −0.428675 | + | 0.275492i | ||||
\(205\) | 15.2901 | − | 17.6457i | 1.06791 | − | 1.23243i | ||||
\(206\) | 10.2559 | 0.714563 | ||||||||
\(207\) | −4.50260 | − | 1.65124i | −0.312952 | − | 0.114769i | ||||
\(208\) | 0.382964 | 0.0265538 | ||||||||
\(209\) | −0.959081 | + | 1.10684i | −0.0663410 | + | 0.0765616i | ||||
\(210\) | 10.6676 | − | 6.85563i | 0.736132 | − | 0.473083i | ||||
\(211\) | −0.569168 | − | 3.95865i | −0.0391832 | − | 0.272525i | 0.960806 | − | 0.277222i | \(-0.0894139\pi\) |
−0.999989 | + | 0.00469740i | \(0.998505\pi\) | |||||||
\(212\) | 1.05330 | + | 2.30640i | 0.0723408 | + | 0.158404i | ||||
\(213\) | −0.0471833 | + | 0.328167i | −0.00323295 | + | 0.0224857i | ||||
\(214\) | 10.2549 | − | 3.01110i | 0.701009 | − | 0.205835i | ||||
\(215\) | −24.6118 | − | 15.8170i | −1.67851 | − | 1.07871i | ||||
\(216\) | 0.415415 | − | 0.909632i | 0.0282654 | − | 0.0618926i | ||||
\(217\) | 15.9508 | + | 4.68359i | 1.08281 | + | 0.317943i | ||||
\(218\) | −10.8485 | − | 12.5198i | −0.734753 | − | 0.847950i | ||||
\(219\) | 0.458114 | + | 0.528692i | 0.0309565 | + | 0.0357257i | ||||
\(220\) | −1.12005 | − | 0.328875i | −0.0755136 | − | 0.0221728i | ||||
\(221\) | 1.15786 | − | 2.53536i | 0.0778861 | − | 0.170547i | ||||
\(222\) | −6.15720 | − | 3.95699i | −0.413244 | − | 0.265576i | ||||
\(223\) | −5.76119 | + | 1.69164i | −0.385798 | + | 0.113280i | −0.468879 | − | 0.883262i | \(-0.655342\pi\) |
0.0830815 | + | 0.996543i | \(0.473524\pi\) | |||||||
\(224\) | −0.544078 | + | 3.78415i | −0.0363527 | + | 0.252839i | ||||
\(225\) | 2.49315 | + | 5.45923i | 0.166210 | + | 0.363949i | ||||
\(226\) | 1.86625 | + | 12.9800i | 0.124141 | + | 0.863419i | ||||
\(227\) | 0.363529 | − | 0.233626i | 0.0241283 | − | 0.0155063i | −0.528521 | − | 0.848920i | \(-0.677253\pi\) |
0.552649 | + | 0.833414i | \(0.313617\pi\) | |||||||
\(228\) | −2.72514 | + | 3.14498i | −0.180477 | + | 0.208281i | ||||
\(229\) | −9.80029 | −0.647621 | −0.323811 | − | 0.946122i | \(-0.604964\pi\) | ||||
−0.323811 | + | 0.946122i | \(0.604964\pi\) | |||||||
\(230\) | −3.29580 | + | 15.5619i | −0.217319 | + | 1.02612i | ||||
\(231\) | −1.34548 | −0.0885262 | ||||||||
\(232\) | −2.93450 | + | 3.38659i | −0.192659 | + | 0.222341i | ||||
\(233\) | −7.41438 | + | 4.76493i | −0.485732 | + | 0.312161i | −0.760487 | − | 0.649353i | \(-0.775040\pi\) |
0.274755 | + | 0.961514i | \(0.411403\pi\) | |||||||
\(234\) | 0.0545015 | + | 0.379066i | 0.00356287 | + | 0.0247803i | ||||
\(235\) | −14.6994 | − | 32.1872i | −0.958884 | − | 2.09966i | ||||
\(236\) | −1.12321 | + | 7.81207i | −0.0731145 | + | 0.508522i | ||||
\(237\) | 15.4749 | − | 4.54383i | 1.00520 | − | 0.295154i | ||||
\(238\) | 23.4074 | + | 15.0430i | 1.51728 | + | 0.975096i | ||||
\(239\) | −8.09697 | + | 17.7299i | −0.523750 | + | 1.14685i | 0.444251 | + | 0.895903i | \(0.353470\pi\) |
−0.968000 | + | 0.250949i | \(0.919257\pi\) | |||||||
\(240\) | −3.18251 | − | 0.934468i | −0.205430 | − | 0.0603197i | ||||
\(241\) | 1.52599 | + | 1.76108i | 0.0982974 | + | 0.113441i | 0.802767 | − | 0.596293i | \(-0.203360\pi\) |
−0.704469 | + | 0.709734i | \(0.748815\pi\) | |||||||
\(242\) | −7.12236 | − | 8.21964i | −0.457842 | − | 0.528378i | ||||
\(243\) | 0.959493 | + | 0.281733i | 0.0615515 | + | 0.0180732i | ||||
\(244\) | −5.25570 | + | 11.5084i | −0.336461 | + | 0.736748i | ||||
\(245\) | −21.2505 | − | 13.6569i | −1.35764 | − | 0.872504i | ||||
\(246\) | −6.75423 | + | 1.98322i | −0.430634 | + | 0.126446i | ||||
\(247\) | 0.226802 | − | 1.57744i | 0.0144311 | − | 0.100370i | ||||
\(248\) | −1.80640 | − | 3.95545i | −0.114706 | − | 0.251172i | ||||
\(249\) | −0.659501 | − | 4.58693i | −0.0417942 | − | 0.290685i | ||||
\(250\) | 2.79474 | − | 1.79607i | 0.176755 | − | 0.113593i | ||||
\(251\) | −9.69515 | + | 11.1888i | −0.611953 | + | 0.706231i | −0.974158 | − | 0.225867i | \(-0.927478\pi\) |
0.362205 | + | 0.932098i | \(0.382024\pi\) | |||||||
\(252\) | −3.82306 | −0.240830 | ||||||||
\(253\) | 1.18690 | − | 1.20002i | 0.0746199 | − | 0.0754449i | ||||
\(254\) | 15.2534 | 0.957084 | ||||||||
\(255\) | −15.8086 | + | 18.2441i | −0.989971 | + | 1.14249i | ||||
\(256\) | 0.841254 | − | 0.540641i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | −3.52467 | − | 24.5146i | −0.219863 | − | 1.52918i | −0.738540 | − | 0.674209i | \(-0.764485\pi\) |
0.518678 | − | 0.854970i | \(-0.326425\pi\) | |||||||
\(258\) | 3.66412 | + | 8.02331i | 0.228118 | + | 0.499510i | ||||
\(259\) | −3.98215 | + | 27.6964i | −0.247439 | + | 1.72097i | ||||
\(260\) | 1.21879 | − | 0.357868i | 0.0755859 | − | 0.0221940i | ||||
\(261\) | −3.76974 | − | 2.42267i | −0.233341 | − | 0.149959i | ||||
\(262\) | 1.67618 | − | 3.67032i | 0.103555 | − | 0.226753i | ||||
\(263\) | −2.48394 | − | 0.729350i | −0.153166 | − | 0.0449736i | 0.204251 | − | 0.978919i | \(-0.434524\pi\) |
−0.357417 | + | 0.933945i | \(0.616342\pi\) | |||||||
\(264\) | 0.230471 | + | 0.265977i | 0.0141845 | + | 0.0163698i | ||||
\(265\) | 5.50739 | + | 6.35586i | 0.338316 | + | 0.390438i | ||||
\(266\) | 15.2648 | + | 4.48216i | 0.935947 | + | 0.274819i | ||||
\(267\) | 3.66285 | − | 8.02052i | 0.224163 | − | 0.490848i | ||||
\(268\) | 4.71756 | + | 3.03179i | 0.288171 | + | 0.185196i | ||||
\(269\) | 12.4123 | − | 3.64457i | 0.756790 | − | 0.222214i | 0.119496 | − | 0.992835i | \(-0.461872\pi\) |
0.637294 | + | 0.770621i | \(0.280054\pi\) | |||||||
\(270\) | 0.472039 | − | 3.28310i | 0.0287274 | − | 0.199803i | ||||
\(271\) | −4.85060 | − | 10.6213i | −0.294653 | − | 0.645199i | 0.703179 | − | 0.711013i | \(-0.251763\pi\) |
−0.997832 | + | 0.0658132i | \(0.979036\pi\) | |||||||
\(272\) | −1.03578 | − | 7.20399i | −0.0628032 | − | 0.436806i | ||||
\(273\) | 1.23167 | − | 0.791549i | 0.0745443 | − | 0.0479067i | ||||
\(274\) | 2.72715 | − | 3.14730i | 0.164753 | − | 0.190135i | ||||
\(275\) | −2.11219 | −0.127370 | ||||||||
\(276\) | 3.37247 | − | 3.40976i | 0.202999 | − | 0.205243i | ||||
\(277\) | 14.2109 | 0.853849 | 0.426925 | − | 0.904287i | \(-0.359597\pi\) | ||||
0.426925 | + | 0.904287i | \(0.359597\pi\) | |||||||
\(278\) | 1.43531 | − | 1.65644i | 0.0860842 | − | 0.0993464i | ||||
\(279\) | 3.65812 | − | 2.35093i | 0.219006 | − | 0.140746i | ||||
\(280\) | 1.80463 | + | 12.5515i | 0.107847 | + | 0.750095i | ||||
\(281\) | −5.30272 | − | 11.6113i | −0.316334 | − | 0.692674i | 0.682952 | − | 0.730463i | \(-0.260696\pi\) |
−0.999286 | + | 0.0377891i | \(0.987968\pi\) | |||||||
\(282\) | −1.51824 | + | 10.5596i | −0.0904098 | + | 0.628814i | ||||
\(283\) | 2.55003 | − | 0.748757i | 0.151584 | − | 0.0445090i | −0.205060 | − | 0.978749i | \(-0.565739\pi\) |
0.356644 | + | 0.934240i | \(0.383921\pi\) | |||||||
\(284\) | −0.278911 | − | 0.179245i | −0.0165503 | − | 0.0106362i | ||||
\(285\) | −5.73389 | + | 12.5555i | −0.339646 | + | 0.743721i | ||||
\(286\) | −0.129320 | − | 0.0379719i | −0.00764687 | − | 0.00224532i | ||||
\(287\) | 17.6236 | + | 20.3387i | 1.04029 | + | 1.20055i | ||||
\(288\) | 0.654861 | + | 0.755750i | 0.0385880 | + | 0.0445330i | ||||
\(289\) | −34.5132 | − | 10.1340i | −2.03019 | − | 0.596117i | ||||
\(290\) | −6.17440 | + | 13.5200i | −0.362573 | + | 0.793925i | ||||
\(291\) | 9.44708 | + | 6.07127i | 0.553798 | + | 0.355904i | ||||
\(292\) | −0.671223 | + | 0.197089i | −0.0392803 | + | 0.0115337i | ||||
\(293\) | −1.55113 | + | 10.7883i | −0.0906178 | + | 0.630261i | 0.893008 | + | 0.450040i | \(0.148590\pi\) |
−0.983626 | + | 0.180221i | \(0.942319\pi\) | |||||||
\(294\) | 3.16371 | + | 6.92755i | 0.184511 | + | 0.404023i | ||||
\(295\) | 3.72552 | + | 25.9116i | 0.216908 | + | 1.50863i | ||||
\(296\) | 6.15720 | − | 3.95699i | 0.357880 | − | 0.229995i | ||||
\(297\) | −0.230471 | + | 0.265977i | −0.0133733 | + | 0.0154336i | ||||
\(298\) | 1.37631 | 0.0797276 | ||||||||
\(299\) | −0.380532 | + | 1.79678i | −0.0220067 | + | 0.103910i | ||||
\(300\) | −6.00158 | −0.346502 | ||||||||
\(301\) | 22.0825 | − | 25.4845i | 1.27281 | − | 1.46890i | ||||
\(302\) | −11.3806 | + | 7.31387i | −0.654880 | + | 0.420866i | ||||
\(303\) | −0.790623 | − | 5.49890i | −0.0454201 | − | 0.315904i | ||||
\(304\) | −1.72871 | − | 3.78534i | −0.0991482 | − | 0.217104i | ||||
\(305\) | −5.97208 | + | 41.5368i | −0.341960 | + | 2.37839i | ||||
\(306\) | 6.98325 | − | 2.05047i | 0.399206 | − | 0.117217i | ||||
\(307\) | −9.08434 | − | 5.83815i | −0.518471 | − | 0.333201i | 0.255096 | − | 0.966916i | \(-0.417893\pi\) |
−0.773567 | + | 0.633715i | \(0.781529\pi\) | |||||||
\(308\) | 0.558933 | − | 1.22389i | 0.0318482 | − | 0.0697378i | ||||
\(309\) | −9.84047 | − | 2.88942i | −0.559805 | − | 0.164373i | ||||
\(310\) | −9.44511 | − | 10.9002i | −0.536446 | − | 0.619092i | ||||
\(311\) | −4.92470 | − | 5.68341i | −0.279254 | − | 0.322276i | 0.598744 | − | 0.800940i | \(-0.295667\pi\) |
−0.877998 | + | 0.478664i | \(0.841121\pi\) | |||||||
\(312\) | −0.367451 | − | 0.107893i | −0.0208028 | − | 0.00610826i | ||||
\(313\) | −6.73499 | + | 14.7476i | −0.380684 | + | 0.833582i | 0.618185 | + | 0.786033i | \(0.287868\pi\) |
−0.998869 | + | 0.0475490i | \(0.984859\pi\) | |||||||
\(314\) | 12.0624 | + | 7.75202i | 0.680719 | + | 0.437472i | ||||
\(315\) | −12.1669 | + | 3.57253i | −0.685528 | + | 0.201289i | ||||
\(316\) | −2.29528 | + | 15.9640i | −0.129119 | + | 0.898046i | ||||
\(317\) | 2.40859 | + | 5.27407i | 0.135280 | + | 0.296221i | 0.965133 | − | 0.261761i | \(-0.0843031\pi\) |
−0.829853 | + | 0.557982i | \(0.811576\pi\) | |||||||
\(318\) | −0.360844 | − | 2.50972i | −0.0202351 | − | 0.140738i | ||||
\(319\) | 1.32672 | − | 0.852630i | 0.0742820 | − | 0.0477381i | ||||
\(320\) | 2.17208 | − | 2.50672i | 0.121423 | − | 0.140130i | ||||
\(321\) | −10.6878 | −0.596535 | ||||||||
\(322\) | −17.2137 | − | 6.31280i | −0.959282 | − | 0.351799i | ||||
\(323\) | −30.2869 | −1.68521 | ||||||||
\(324\) | −0.654861 | + | 0.755750i | −0.0363812 | + | 0.0419861i | ||||
\(325\) | 1.93353 | − | 1.24260i | 0.107253 | − | 0.0689272i | ||||
\(326\) | −1.06106 | − | 7.37984i | −0.0587667 | − | 0.408731i | ||||
\(327\) | 6.88181 | + | 15.0691i | 0.380565 | + | 0.833321i | ||||
\(328\) | 1.00181 | − | 6.96772i | 0.0553156 | − | 0.384728i | ||||
\(329\) | 39.1330 | − | 11.4905i | 2.15747 | − | 0.633490i | ||||
\(330\) | 0.982022 | + | 0.631107i | 0.0540585 | + | 0.0347413i | ||||
\(331\) | −1.76651 | + | 3.86811i | −0.0970959 | + | 0.212610i | −0.951947 | − | 0.306263i | \(-0.900921\pi\) |
0.854851 | + | 0.518874i | \(0.173648\pi\) | |||||||
\(332\) | 4.44639 | + | 1.30558i | 0.244027 | + | 0.0716529i | ||||
\(333\) | 4.79298 | + | 5.53139i | 0.262653 | + | 0.303118i | ||||
\(334\) | 0.246041 | + | 0.283947i | 0.0134628 | + | 0.0155369i | ||||
\(335\) | 17.8468 | + | 5.24028i | 0.975073 | + | 0.286307i | ||||
\(336\) | 1.58816 | − | 3.47758i | 0.0866410 | − | 0.189717i | ||||
\(337\) | −6.14322 | − | 3.94801i | −0.334642 | − | 0.215062i | 0.362518 | − | 0.931977i | \(-0.381917\pi\) |
−0.697160 | + | 0.716915i | \(0.745553\pi\) | |||||||
\(338\) | −12.3327 | + | 3.62120i | −0.670810 | + | 0.196968i | ||||
\(339\) | 1.86625 | − | 12.9800i | 0.101361 | − | 0.704979i | ||||
\(340\) | −10.0283 | − | 21.9588i | −0.543859 | − | 1.19089i | ||||
\(341\) | 0.217795 | + | 1.51480i | 0.0117943 | + | 0.0820309i | ||||
\(342\) | 3.50079 | − | 2.24982i | 0.189301 | − | 0.121656i | ||||
\(343\) | 1.54164 | − | 1.77915i | 0.0832408 | − | 0.0960650i | ||||
\(344\) | −8.82040 | −0.475564 | ||||||||
\(345\) | 7.54660 | − | 14.0030i | 0.406295 | − | 0.753898i | ||||
\(346\) | −15.7371 | −0.846029 | ||||||||
\(347\) | 14.7553 | − | 17.0285i | 0.792104 | − | 0.914137i | −0.205817 | − | 0.978591i | \(-0.565985\pi\) |
0.997921 | + | 0.0644537i | \(0.0205305\pi\) | |||||||
\(348\) | 3.76974 | − | 2.42267i | 0.202079 | − | 0.129869i | ||||
\(349\) | −3.00628 | − | 20.9092i | −0.160923 | − | 1.11924i | −0.896899 | − | 0.442235i | \(-0.854186\pi\) |
0.735976 | − | 0.677007i | \(-0.236723\pi\) | |||||||
\(350\) | 9.53145 | + | 20.8710i | 0.509477 | + | 1.11560i | ||||
\(351\) | 0.0545015 | − | 0.379066i | 0.00290907 | − | 0.0202330i | ||||
\(352\) | −0.337683 | + | 0.0991526i | −0.0179985 | + | 0.00528485i | ||||
\(353\) | 14.3088 | + | 9.19572i | 0.761581 | + | 0.489439i | 0.862875 | − | 0.505418i | \(-0.168662\pi\) |
−0.101293 | + | 0.994857i | \(0.532298\pi\) | |||||||
\(354\) | 3.27862 | − | 7.17918i | 0.174257 | − | 0.381569i | ||||
\(355\) | −1.05513 | − | 0.309815i | −0.0560007 | − | 0.0164433i | ||||
\(356\) | 5.77412 | + | 6.66369i | 0.306028 | + | 0.353175i | ||||
\(357\) | −18.2212 | − | 21.0283i | −0.964366 | − | 1.11294i | ||||
\(358\) | −5.73167 | − | 1.68297i | −0.302928 | − | 0.0889478i | ||||
\(359\) | 4.13610 | − | 9.05680i | 0.218295 | − | 0.478000i | −0.768525 | − | 0.639820i | \(-0.779009\pi\) |
0.986820 | + | 0.161820i | \(0.0517363\pi\) | |||||||
\(360\) | 2.79032 | + | 1.79323i | 0.147063 | + | 0.0945116i | ||||
\(361\) | 1.61460 | − | 0.474089i | 0.0849789 | − | 0.0249521i | ||||
\(362\) | −2.60533 | + | 18.1205i | −0.136933 | + | 0.952392i | ||||
\(363\) | 4.51811 | + | 9.89328i | 0.237139 | + | 0.519263i | ||||
\(364\) | 0.208362 | + | 1.44919i | 0.0109212 | + | 0.0759583i | ||||
\(365\) | −1.95200 | + | 1.25447i | −0.102172 | + | 0.0656621i | ||||
\(366\) | 8.28509 | − | 9.56150i | 0.433068 | − | 0.499788i | ||||
\(367\) | 24.3414 | 1.27061 | 0.635306 | − | 0.772261i | \(-0.280874\pi\) | ||||
0.635306 | + | 0.772261i | \(0.280874\pi\) | |||||||
\(368\) | 1.70065 | + | 4.48417i | 0.0886524 | + | 0.233754i | ||||
\(369\) | 7.03938 | 0.366455 | ||||||||
\(370\) | 15.8976 | − | 18.3469i | 0.826479 | − | 0.953808i | ||||
\(371\) | −8.15468 | + | 5.24069i | −0.423370 | + | 0.272083i | ||||
\(372\) | 0.618844 | + | 4.30415i | 0.0320855 | + | 0.223160i | ||||
\(373\) | 14.4280 | + | 31.5930i | 0.747056 | + | 1.63582i | 0.771586 | + | 0.636125i | \(0.219464\pi\) |
−0.0245297 | + | 0.999699i | \(0.507809\pi\) | |||||||
\(374\) | −0.364530 | + | 2.53536i | −0.0188494 | + | 0.131100i | ||||
\(375\) | −3.18754 | + | 0.935947i | −0.164604 | + | 0.0483321i | ||||
\(376\) | −8.97464 | − | 5.76765i | −0.462832 | − | 0.297444i | ||||
\(377\) | −0.712894 | + | 1.56102i | −0.0367159 | + | 0.0803967i | ||||
\(378\) | 3.66820 | + | 1.07708i | 0.188672 | + | 0.0553990i | ||||
\(379\) | 16.5256 | + | 19.0715i | 0.848862 | + | 0.979639i | 0.999961 | − | 0.00887990i | \(-0.00282660\pi\) |
−0.151099 | + | 0.988519i | \(0.548281\pi\) | |||||||
\(380\) | −9.03891 | − | 10.4315i | −0.463686 | − | 0.535122i | ||||
\(381\) | −14.6355 | − | 4.29738i | −0.749801 | − | 0.220161i | ||||
\(382\) | 3.37335 | − | 7.38660i | 0.172596 | − | 0.377931i | ||||
\(383\) | −23.2551 | − | 14.9451i | −1.18828 | − | 0.763660i | −0.211389 | − | 0.977402i | \(-0.567799\pi\) |
−0.976890 | + | 0.213742i | \(0.931435\pi\) | |||||||
\(384\) | −0.959493 | + | 0.281733i | −0.0489639 | + | 0.0143771i | ||||
\(385\) | 0.635120 | − | 4.41735i | 0.0323687 | − | 0.225129i | ||||
\(386\) | −6.21393 | − | 13.6066i | −0.316281 | − | 0.692558i | ||||
\(387\) | −1.25527 | − | 8.73062i | −0.0638091 | − | 0.443802i | ||||
\(388\) | −9.44708 | + | 6.07127i | −0.479603 | + | 0.308222i | ||||
\(389\) | −9.83860 | + | 11.3544i | −0.498837 | + | 0.575688i | −0.948205 | − | 0.317658i | \(-0.897104\pi\) |
0.449368 | + | 0.893347i | \(0.351649\pi\) | |||||||
\(390\) | −1.27024 | −0.0643211 | ||||||||
\(391\) | 34.8286 | + | 2.29861i | 1.76136 | + | 0.116246i | ||||
\(392\) | −7.61578 | −0.384655 | ||||||||
\(393\) | −2.64233 | + | 3.04941i | −0.133288 | + | 0.153823i | ||||
\(394\) | 17.2317 | − | 11.0741i | 0.868119 | − | 0.557906i | ||||
\(395\) | 7.61312 | + | 52.9504i | 0.383058 | + | 2.66423i | ||||
\(396\) | −0.146201 | − | 0.320135i | −0.00734686 | − | 0.0160874i | ||||
\(397\) | 2.65753 | − | 18.4835i | 0.133378 | − | 0.927663i | −0.807729 | − | 0.589554i | \(-0.799304\pi\) |
0.941107 | − | 0.338109i | \(-0.109787\pi\) | |||||||
\(398\) | 13.5079 | − | 3.96628i | 0.677091 | − | 0.198812i | ||||
\(399\) | −13.3837 | − | 8.60120i | −0.670025 | − | 0.430599i | ||||
\(400\) | 2.49315 | − | 5.45923i | 0.124657 | − | 0.272962i | ||||
\(401\) | 31.0836 | + | 9.12697i | 1.55224 | + | 0.455779i | 0.941770 | − | 0.336258i | \(-0.109162\pi\) |
0.610472 | + | 0.792038i | \(0.290980\pi\) | |||||||
\(402\) | −3.67231 | − | 4.23807i | −0.183158 | − | 0.211376i | ||||
\(403\) | −1.09053 | − | 1.25854i | −0.0543232 | − | 0.0626923i | ||||
\(404\) | 5.33041 | + | 1.56515i | 0.265198 | + | 0.0778691i | ||||
\(405\) | −1.37787 | + | 3.01713i | −0.0684672 | + | 0.149922i | ||||
\(406\) | −14.4120 | − | 9.26200i | −0.715253 | − | 0.459665i | ||||
\(407\) | −2.47152 | + | 0.725705i | −0.122509 | + | 0.0359719i | ||||
\(408\) | −1.03578 | + | 7.20399i | −0.0512786 | + | 0.356650i | ||||
\(409\) | −5.58677 | − | 12.2333i | −0.276248 | − | 0.604898i | 0.719754 | − | 0.694229i | \(-0.244254\pi\) |
−0.996002 | + | 0.0893307i | \(0.971527\pi\) | |||||||
\(410\) | −3.32286 | − | 23.1110i | −0.164104 | − | 1.14137i | ||||
\(411\) | −3.50338 | + | 2.25149i | −0.172809 | + | 0.111058i | ||||
\(412\) | 6.71619 | − | 7.75090i | 0.330883 | − | 0.381859i | ||||
\(413\) | −30.1731 | −1.48472 | ||||||||
\(414\) | −4.19650 | + | 2.32150i | −0.206247 | + | 0.114096i | ||||
\(415\) | 15.3707 | 0.754517 | ||||||||
\(416\) | 0.250788 | − | 0.289425i | 0.0122959 | − | 0.0141902i | ||||
\(417\) | −1.84384 | + | 1.18496i | −0.0902933 | + | 0.0580280i | ||||
\(418\) | 0.208428 | + | 1.44965i | 0.0101946 | + | 0.0709047i | ||||
\(419\) | −5.62009 | − | 12.3063i | −0.274559 | − | 0.601201i | 0.721248 | − | 0.692677i | \(-0.243569\pi\) |
−0.995807 | + | 0.0914759i | \(0.970842\pi\) | |||||||
\(420\) | 1.80463 | − | 12.5515i | 0.0880570 | − | 0.612450i | ||||
\(421\) | −24.6050 | + | 7.22468i | −1.19917 | + | 0.352109i | −0.819537 | − | 0.573026i | \(-0.805769\pi\) |
−0.379637 | + | 0.925135i | \(0.623951\pi\) | |||||||
\(422\) | −3.36448 | − | 2.16222i | −0.163780 | − | 0.105255i | ||||
\(423\) | 4.43172 | − | 9.70411i | 0.215478 | − | 0.471830i | ||||
\(424\) | 2.43282 | + | 0.714342i | 0.118148 | + | 0.0346915i | ||||
\(425\) | −28.6043 | − | 33.0111i | −1.38751 | − | 1.60127i | ||||
\(426\) | 0.217114 | + | 0.250563i | 0.0105192 | + | 0.0121398i | ||||
\(427\) | −46.4089 | − | 13.6269i | −2.24588 | − | 0.659450i | ||||
\(428\) | 4.43988 | − | 9.72197i | 0.214610 | − | 0.469929i | ||||
\(429\) | 0.113384 | + | 0.0728675i | 0.00547423 | + | 0.00351807i | ||||
\(430\) | −28.0710 | + | 8.24238i | −1.35370 | + | 0.397483i | ||||
\(431\) | 2.44186 | − | 16.9835i | 0.117620 | − | 0.818068i | −0.842543 | − | 0.538629i | \(-0.818942\pi\) |
0.960163 | − | 0.279439i | \(-0.0901485\pi\) | |||||||
\(432\) | −0.415415 | − | 0.909632i | −0.0199867 | − | 0.0437647i | ||||
\(433\) | 1.35870 | + | 9.44994i | 0.0652948 | + | 0.454135i | 0.996072 | + | 0.0885481i | \(0.0282227\pi\) |
−0.930777 | + | 0.365587i | \(0.880868\pi\) | |||||||
\(434\) | 13.9852 | − | 8.98774i | 0.671311 | − | 0.431425i | ||||
\(435\) | 9.73333 | − | 11.2329i | 0.466678 | − | 0.538575i | ||||
\(436\) | −16.5661 | −0.793373 | ||||||||
\(437\) | 19.4777 | − | 4.34939i | 0.931743 | − | 0.208059i | ||||
\(438\) | 0.699560 | 0.0334263 | ||||||||
\(439\) | 15.6250 | − | 18.0322i | 0.745742 | − | 0.860632i | −0.248407 | − | 0.968656i | \(-0.579907\pi\) |
0.994148 | + | 0.108024i | \(0.0344523\pi\) | |||||||
\(440\) | −0.982022 | + | 0.631107i | −0.0468161 | + | 0.0300869i | ||||
\(441\) | −1.08384 | − | 7.53826i | −0.0516113 | − | 0.358965i | ||||
\(442\) | −1.15786 | − | 2.53536i | −0.0550738 | − | 0.120595i | ||||
\(443\) | 1.00236 | − | 6.97159i | 0.0476237 | − | 0.331230i | −0.952056 | − | 0.305924i | \(-0.901035\pi\) |
0.999680 | − | 0.0253065i | \(-0.00805616\pi\) | |||||||
\(444\) | −7.02260 | + | 2.06202i | −0.333278 | + | 0.0978592i | ||||
\(445\) | 24.6032 | + | 15.8115i | 1.16630 | + | 0.749537i | ||||
\(446\) | −2.49432 | + | 5.46180i | −0.118110 | + | 0.258624i | ||||
\(447\) | −1.32056 | − | 0.387752i | −0.0624604 | − | 0.0183400i | ||||
\(448\) | 2.50357 | + | 2.88927i | 0.118283 | + | 0.136505i | ||||
\(449\) | 24.6978 | + | 28.5028i | 1.16556 | + | 1.34513i | 0.927475 | + | 0.373885i | \(0.121975\pi\) |
0.238086 | + | 0.971244i | \(0.423480\pi\) | |||||||
\(450\) | 5.75848 | + | 1.69084i | 0.271457 | + | 0.0797070i | ||||
\(451\) | −1.02916 | + | 2.25355i | −0.0484613 | + | 0.106115i | ||||
\(452\) | 11.0318 | + | 7.08970i | 0.518892 | + | 0.333472i | ||||
\(453\) | 12.9802 | − | 3.81132i | 0.609861 | − | 0.179071i | ||||
\(454\) | 0.0614982 | − | 0.427730i | 0.00288626 | − | 0.0200743i | ||||
\(455\) | 2.01734 | + | 4.41735i | 0.0945743 | + | 0.207089i | ||||
\(456\) | 0.592229 | + | 4.11904i | 0.0277337 | + | 0.192892i | ||||
\(457\) | −1.64284 | + | 1.05579i | −0.0768490 | + | 0.0493879i | −0.578501 | − | 0.815682i | \(-0.696362\pi\) |
0.501652 | + | 0.865069i | \(0.332726\pi\) | |||||||
\(458\) | −6.41782 | + | 7.40656i | −0.299885 | + | 0.346086i | ||||
\(459\) | −7.27807 | −0.339711 | ||||||||
\(460\) | 9.60264 | + | 12.6817i | 0.447726 | + | 0.591288i | ||||
\(461\) | 6.85072 | 0.319070 | 0.159535 | − | 0.987192i | \(-0.449001\pi\) | ||||
0.159535 | + | 0.987192i | \(0.449001\pi\) | |||||||
\(462\) | −0.881103 | + | 1.01685i | −0.0409926 | + | 0.0473080i | ||||
\(463\) | −1.24196 | + | 0.798159i | −0.0577188 | + | 0.0370936i | −0.569182 | − | 0.822212i | \(-0.692740\pi\) |
0.511463 | + | 0.859305i | \(0.329104\pi\) | |||||||
\(464\) | 0.637728 | + | 4.43549i | 0.0296058 | + | 0.205913i | ||||
\(465\) | 5.99157 | + | 13.1197i | 0.277852 | + | 0.608412i | ||||
\(466\) | −1.25429 | + | 8.72378i | −0.0581039 | + | 0.404121i | ||||
\(467\) | −10.9280 | + | 3.20875i | −0.505687 | + | 0.148483i | −0.524618 | − | 0.851338i | \(-0.675792\pi\) |
0.0189309 | + | 0.999821i | \(0.493974\pi\) | |||||||
\(468\) | 0.322170 | + | 0.207046i | 0.0148923 | + | 0.00957070i | ||||
\(469\) | −8.90601 | + | 19.5015i | −0.411242 | + | 0.900493i | ||||
\(470\) | −33.9515 | − | 9.96907i | −1.56607 | − | 0.459839i | ||||
\(471\) | −9.38977 | − | 10.8364i | −0.432658 | − | 0.499314i | ||||
\(472\) | 5.16842 | + | 5.96468i | 0.237896 | + | 0.274547i | ||||
\(473\) | 2.97849 | + | 0.874565i | 0.136951 | + | 0.0402125i | ||||
\(474\) | 6.69989 | − | 14.6707i | 0.307736 | − | 0.673848i | ||||
\(475\) | −21.0103 | − | 13.5025i | −0.964018 | − | 0.619537i | ||||
\(476\) | 26.6974 | − | 7.83906i | 1.22367 | − | 0.359303i | ||||
\(477\) | −0.360844 | + | 2.50972i | −0.0165219 | + | 0.114912i | ||||
\(478\) | 8.09697 | + | 17.7299i | 0.370347 | + | 0.810947i | ||||
\(479\) | −2.54204 | − | 17.6802i | −0.116149 | − | 0.807831i | −0.961733 | − | 0.273989i | \(-0.911657\pi\) |
0.845584 | − | 0.533842i | \(-0.179252\pi\) | |||||||
\(480\) | −2.79032 | + | 1.79323i | −0.127360 | + | 0.0818495i | ||||
\(481\) | 1.83554 | − | 2.11832i | 0.0836933 | − | 0.0965872i | ||||
\(482\) | 2.33025 | 0.106140 | ||||||||
\(483\) | 14.7379 | + | 10.9067i | 0.670598 | + | 0.496274i | ||||
\(484\) | −10.8761 | −0.494370 | ||||||||
\(485\) | −24.3920 | + | 28.1499i | −1.10758 | + | 1.27822i | ||||
\(486\) | 0.841254 | − | 0.540641i | 0.0381600 | − | 0.0245240i | ||||
\(487\) | −1.29822 | − | 9.02935i | −0.0588281 | − | 0.409159i | −0.997863 | − | 0.0653374i | \(-0.979188\pi\) |
0.939035 | − | 0.343821i | \(-0.111721\pi\) | |||||||
\(488\) | 5.25570 | + | 11.5084i | 0.237914 | + | 0.520959i | ||||
\(489\) | −1.06106 | + | 7.37984i | −0.0479828 | + | 0.333728i | ||||
\(490\) | −24.2373 | + | 7.11670i | −1.09493 | + | 0.321500i | ||||
\(491\) | 27.7836 | + | 17.8554i | 1.25385 | + | 0.805803i | 0.987431 | − | 0.158053i | \(-0.0505216\pi\) |
0.266424 | + | 0.963856i | \(0.414158\pi\) | |||||||
\(492\) | −2.92426 | + | 6.40324i | −0.131836 | + | 0.288680i | ||||
\(493\) | 31.2927 | + | 9.18836i | 1.40935 | + | 0.413823i | ||||
\(494\) | −1.04363 | − | 1.20441i | −0.0469551 | − | 0.0541891i | ||||
\(495\) | −0.764440 | − | 0.882211i | −0.0343590 | − | 0.0396524i | ||||
\(496\) | −4.17227 | − | 1.22509i | −0.187340 | − | 0.0550081i | ||||
\(497\) | 0.526540 | − | 1.15296i | 0.0236186 | − | 0.0517174i | ||||
\(498\) | −3.89845 | − | 2.50538i | −0.174694 | − | 0.112269i | ||||
\(499\) | −7.78105 | + | 2.28472i | −0.348328 | + | 0.102278i | −0.451216 | − | 0.892415i | \(-0.649010\pi\) |
0.102889 | + | 0.994693i | \(0.467191\pi\) | |||||||
\(500\) | 0.472786 | − | 3.28830i | 0.0211436 | − | 0.147057i | ||||
\(501\) | −0.156078 | − | 0.341763i | −0.00697305 | − | 0.0152688i | ||||
\(502\) | 2.10696 | + | 14.6542i | 0.0940381 | + | 0.654050i | ||||
\(503\) | 15.7802 | − | 10.1413i | 0.703604 | − | 0.452179i | −0.139295 | − | 0.990251i | \(-0.544484\pi\) |
0.842899 | + | 0.538072i | \(0.180847\pi\) | |||||||
\(504\) | −2.50357 | + | 2.88927i | −0.111518 | + | 0.128699i | ||||
\(505\) | 18.4267 | 0.819976 | ||||||||
\(506\) | −0.129662 | − | 1.68285i | −0.00576420 | − | 0.0748118i | ||||
\(507\) | 12.8533 | 0.570837 | ||||||||
\(508\) | 9.98886 | − | 11.5278i | 0.443184 | − | 0.511461i | ||||
\(509\) | −9.03662 | + | 5.80748i | −0.400541 | + | 0.257412i | −0.725368 | − | 0.688361i | \(-0.758330\pi\) |
0.324827 | + | 0.945774i | \(0.394694\pi\) | |||||||
\(510\) | 3.43553 | + | 23.8946i | 0.152128 | + | 1.05807i | ||||
\(511\) | −1.11101 | − | 2.43277i | −0.0491482 | − | 0.107620i | ||||
\(512\) | 0.142315 | − | 0.989821i | 0.00628949 | − | 0.0437443i | ||||
\(513\) | −3.99283 | + | 1.17240i | −0.176288 | + | 0.0517628i | ||||
\(514\) | −20.8351 | − | 13.3899i | −0.918996 | − | 0.590603i | ||||
\(515\) | 14.1314 | − | 30.9433i | 0.622702 | − | 1.36353i | ||||
\(516\) | 8.46311 | + | 2.48499i | 0.372568 | + | 0.109396i | ||||
\(517\) | 2.45870 | + | 2.83749i | 0.108134 | + | 0.124793i | ||||
\(518\) | 18.3238 | + | 21.1468i | 0.805103 | + | 0.929138i | ||||
\(519\) | 15.0996 | + | 4.43364i | 0.662799 | + | 0.194615i | ||||
\(520\) | 0.527677 | − | 1.15545i | 0.0231401 | − | 0.0506699i | ||||
\(521\) | 5.58535 | + | 3.58949i | 0.244699 | + | 0.157258i | 0.657242 | − | 0.753680i | \(-0.271723\pi\) |
−0.412543 | + | 0.910938i | \(0.635359\pi\) | |||||||
\(522\) | −4.29959 | + | 1.26247i | −0.188188 | + | 0.0552569i | ||||
\(523\) | −5.27639 | + | 36.6981i | −0.230720 | + | 1.60469i | 0.464282 | + | 0.885687i | \(0.346312\pi\) |
−0.695002 | + | 0.719007i | \(0.744597\pi\) | |||||||
\(524\) | −1.67618 | − | 3.67032i | −0.0732242 | − | 0.160339i | ||||
\(525\) | −3.26533 | − | 22.7109i | −0.142511 | − | 0.991183i | ||||
\(526\) | −2.17784 | + | 1.39961i | −0.0949583 | + | 0.0610260i | ||||
\(527\) | −20.7251 | + | 23.9180i | −0.902797 | + | 1.04188i | ||||
\(528\) | 0.351939 | 0.0153162 | ||||||||
\(529\) | −22.7285 | + | 3.52335i | −0.988197 | + | 0.153189i | ||||
\(530\) | 8.41001 | 0.365308 | ||||||||
\(531\) | −5.16842 | + | 5.96468i | −0.224290 | + | 0.258845i | ||||
\(532\) | 13.3837 | − | 8.60120i | 0.580258 | − | 0.372909i | ||||
\(533\) | −0.383656 | − | 2.66839i | −0.0166180 | − | 0.115581i | ||||
\(534\) | −3.66285 | − | 8.02052i | −0.158507 | − | 0.347082i | ||||
\(535\) | 5.04506 | − | 35.0892i | 0.218117 | − | 1.51704i | ||||
\(536\) | 5.38062 | − | 1.57989i | 0.232407 | − | 0.0682409i | ||||
\(537\) | 5.02535 | + | 3.22960i | 0.216860 | + | 0.139367i | ||||
\(538\) | 5.37393 | − | 11.7673i | 0.231687 | − | 0.507323i | ||||
\(539\) | 2.57172 | + | 0.755124i | 0.110772 | + | 0.0325255i | ||||
\(540\) | −2.17208 | − | 2.50672i | −0.0934716 | − | 0.107872i | ||||
\(541\) | 16.6529 | + | 19.2184i | 0.715963 | + | 0.826266i | 0.990815 | − | 0.135221i | \(-0.0431744\pi\) |
−0.274852 | + | 0.961486i | \(0.588629\pi\) | |||||||
\(542\) | −11.2035 | − | 3.28965i | −0.481233 | − | 0.141303i | ||||
\(543\) | 7.60493 | − | 16.6525i | 0.326359 | − | 0.714626i | ||||
\(544\) | −6.12270 | − | 3.93482i | −0.262509 | − | 0.168704i | ||||
\(545\) | −52.7218 | + | 15.4805i | −2.25835 | + | 0.663112i | ||||
\(546\) | 0.208362 | − | 1.44919i | 0.00891708 | − | 0.0620197i | ||||
\(547\) | 1.41850 | + | 3.10609i | 0.0606508 | + | 0.132807i | 0.937530 | − | 0.347903i | \(-0.113106\pi\) |
−0.876880 | + | 0.480710i | \(0.840379\pi\) | |||||||
\(548\) | −0.592667 | − | 4.12209i | −0.0253175 | − | 0.176087i | ||||
\(549\) | −10.6433 | + | 6.84001i | −0.454244 | + | 0.291925i | ||||
\(550\) | −1.38319 | + | 1.59629i | −0.0589794 | + | 0.0680658i | ||||
\(551\) | 18.6477 | 0.794417 | ||||||||
\(552\) | −0.368423 | − | 4.78166i | −0.0156811 | − | 0.203521i | ||||
\(553\) | −61.6590 | −2.62201 | ||||||||
\(554\) | 9.30615 | − | 10.7399i | 0.395380 | − | 0.456293i | ||||
\(555\) | −20.4226 | + | 13.1248i | −0.866890 | + | 0.557117i | ||||
\(556\) | −0.311923 | − | 2.16947i | −0.0132285 | − | 0.0920060i | ||||
\(557\) | −9.17672 | − | 20.0942i | −0.388830 | − | 0.851420i | −0.998282 | − | 0.0585962i | \(-0.981338\pi\) |
0.609452 | − | 0.792823i | \(-0.291390\pi\) | |||||||
\(558\) | 0.618844 | − | 4.30415i | 0.0261977 | − | 0.182209i | ||||
\(559\) | −3.24107 | + | 0.951663i | −0.137082 | + | 0.0402511i | ||||
\(560\) | 10.6676 | + | 6.85563i | 0.450787 | + | 0.289703i | ||||
\(561\) | 1.06406 | − | 2.32996i | 0.0449245 | − | 0.0983710i | ||||
\(562\) | −12.2478 | − | 3.59628i | −0.516642 | − | 0.151700i | ||||
\(563\) | −17.7737 | − | 20.5119i | −0.749071 | − | 0.864474i | 0.245407 | − | 0.969420i | \(-0.421079\pi\) |
−0.994478 | + | 0.104946i | \(0.966533\pi\) | |||||||
\(564\) | 6.98617 | + | 8.06247i | 0.294171 | + | 0.339491i | ||||
\(565\) | 41.7339 | + | 12.2542i | 1.75576 | + | 0.515537i | ||||
\(566\) | 1.10404 | − | 2.41752i | 0.0464064 | − | 0.101616i | ||||
\(567\) | −3.21616 | − | 2.06690i | −0.135066 | − | 0.0868017i | ||||
\(568\) | −0.318112 | + | 0.0934062i | −0.0133477 | + | 0.00391924i | ||||
\(569\) | 3.96731 | − | 27.5933i | 0.166318 | − | 1.15677i | −0.720095 | − | 0.693875i | \(-0.755902\pi\) |
0.886414 | − | 0.462894i | \(-0.153189\pi\) | |||||||
\(570\) | 5.73389 | + | 12.5555i | 0.240166 | + | 0.525890i | ||||
\(571\) | −1.42324 | − | 9.89886i | −0.0595608 | − | 0.414255i | −0.997688 | − | 0.0679632i | \(-0.978350\pi\) |
0.938127 | − | 0.346291i | \(-0.112559\pi\) | |||||||
\(572\) | −0.113384 | + | 0.0728675i | −0.00474082 | + | 0.00304674i | ||||
\(573\) | −5.31775 | + | 6.13701i | −0.222152 | + | 0.256377i | ||||
\(574\) | 26.9119 | 1.12328 | ||||||||
\(575\) | 23.1361 | + | 17.1218i | 0.964843 | + | 0.714029i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −22.6238 | + | 26.1092i | −0.941839 | + | 1.08694i | 0.0542445 | + | 0.998528i | \(0.482725\pi\) |
−0.996084 | + | 0.0884129i | \(0.971821\pi\) | |||||||
\(578\) | −30.2601 | + | 19.4470i | −1.25865 | + | 0.808888i | ||||
\(579\) | 2.12880 | + | 14.8061i | 0.0884698 | + | 0.615321i | ||||
\(580\) | 6.17440 | + | 13.5200i | 0.256378 | + | 0.561389i | ||||
\(581\) | −2.52131 | + | 17.5361i | −0.104602 | + | 0.727520i | ||||
\(582\) | 10.7749 | − | 3.16379i | 0.446633 | − | 0.131143i | ||||
\(583\) | −0.750694 | − | 0.482442i | −0.0310906 | − | 0.0199807i | ||||
\(584\) | −0.290608 | + | 0.636342i | −0.0120254 | + | 0.0263320i | ||||
\(585\) | 1.21879 | + | 0.357868i | 0.0503906 | + | 0.0147960i | ||||
\(586\) | 7.13750 | + | 8.23711i | 0.294847 | + | 0.340272i | ||||
\(587\) | 19.2179 | + | 22.1787i | 0.793209 | + | 0.915412i | 0.997988 | − | 0.0633958i | \(-0.0201930\pi\) |
−0.204779 | + | 0.978808i | \(0.565648\pi\) | |||||||
\(588\) | 7.30728 | + | 2.14561i | 0.301347 | + | 0.0884836i | ||||
\(589\) | −7.51713 | + | 16.4602i | −0.309738 | + | 0.678232i | ||||
\(590\) | 22.0223 | + | 14.1529i | 0.906646 | + | 0.582666i | ||||
\(591\) | −19.6536 | + | 5.77082i | −0.808441 | + | 0.237380i | ||||
\(592\) | 1.04161 | − | 7.24458i | 0.0428100 | − | 0.297750i | ||||
\(593\) | −17.5461 | − | 38.4205i | −0.720530 | − | 1.57774i | −0.813160 | − | 0.582041i | \(-0.802254\pi\) |
0.0926291 | − | 0.995701i | \(-0.470473\pi\) | |||||||
\(594\) | 0.0500861 | + | 0.348356i | 0.00205506 | + | 0.0142932i | ||||
\(595\) | 77.6393 | − | 49.8957i | 3.18290 | − | 2.04553i | ||||
\(596\) | 0.901293 | − | 1.04015i | 0.0369184 | − | 0.0426061i | ||||
\(597\) | −14.0782 | −0.576182 | ||||||||
\(598\) | 1.10872 | + | 1.46423i | 0.0453389 | + | 0.0598766i | ||||
\(599\) | −19.2147 | −0.785092 | −0.392546 | − | 0.919732i | \(-0.628406\pi\) | ||||
−0.392546 | + | 0.919732i | \(0.628406\pi\) | |||||||
\(600\) | −3.93020 | + | 4.53569i | −0.160450 | + | 0.185169i | ||||
\(601\) | −10.9196 | + | 7.01758i | −0.445418 | + | 0.286253i | −0.744061 | − | 0.668112i | \(-0.767103\pi\) |
0.298642 | + | 0.954365i | \(0.403466\pi\) | |||||||
\(602\) | −4.79898 | − | 33.3777i | −0.195592 | − | 1.36037i | ||||
\(603\) | 2.32955 | + | 5.10101i | 0.0948667 | + | 0.207729i | ||||
\(604\) | −1.92526 | + | 13.3904i | −0.0783375 | + | 0.544850i | ||||
\(605\) | −34.6134 | + | 10.1634i | −1.40723 | + | 0.413201i | ||||
\(606\) | −4.67354 | − | 3.00350i | −0.189850 | − | 0.122009i | ||||
\(607\) | −10.4445 | + | 22.8703i | −0.423930 | + | 0.928277i | 0.570343 | + | 0.821407i | \(0.306810\pi\) |
−0.994273 | + | 0.106871i | \(0.965917\pi\) | |||||||
\(608\) | −3.99283 | − | 1.17240i | −0.161931 | − | 0.0475472i | ||||
\(609\) | 11.2188 | + | 12.9471i | 0.454607 | + | 0.524645i | ||||
\(610\) | 27.4805 | + | 31.7142i | 1.11265 | + | 1.28407i | ||||
\(611\) | −3.92003 | − | 1.15103i | −0.158588 | − | 0.0465655i | ||||
\(612\) | 3.02342 | − | 6.62036i | 0.122214 | − | 0.267612i | ||||
\(613\) | −16.1352 | − | 10.3695i | −0.651696 | − | 0.418819i | 0.172590 | − | 0.984994i | \(-0.444787\pi\) |
−0.824285 | + | 0.566174i | \(0.808423\pi\) | |||||||
\(614\) | −10.3612 | + | 3.04231i | −0.418142 | + | 0.122778i | ||||
\(615\) | −3.32286 | + | 23.1110i | −0.133991 | + | 0.931925i | ||||
\(616\) | −0.558933 | − | 1.22389i | −0.0225201 | − | 0.0493121i | ||||
\(617\) | −4.21557 | − | 29.3199i | −0.169712 | − | 1.18037i | −0.879479 | − | 0.475938i | \(-0.842109\pi\) |
0.709767 | − | 0.704437i | \(-0.248800\pi\) | |||||||
\(618\) | −8.62782 | + | 5.54476i | −0.347062 | + | 0.223043i | ||||
\(619\) | 30.2148 | − | 34.8697i | 1.21444 | − | 1.40153i | 0.324226 | − | 0.945979i | \(-0.394896\pi\) |
0.890209 | − | 0.455553i | \(-0.150559\pi\) | |||||||
\(620\) | −14.4231 | −0.579245 | ||||||||
\(621\) | 4.68056 | − | 1.04517i | 0.187824 | − | 0.0419414i | ||||
\(622\) | −7.52022 | −0.301533 | ||||||||
\(623\) | −22.0748 | + | 25.4757i | −0.884408 | + | 1.02066i | ||||
\(624\) | −0.322170 | + | 0.207046i | −0.0128971 | + | 0.00828847i | ||||
\(625\) | 2.70241 | + | 18.7956i | 0.108096 | + | 0.751826i | ||||
\(626\) | 6.73499 | + | 14.7476i | 0.269184 | + | 0.589431i | ||||
\(627\) | 0.208428 | − | 1.44965i | 0.00832382 | − | 0.0578934i | ||||
\(628\) | 13.7578 | − | 4.03964i | 0.548995 | − | 0.161199i | ||||
\(629\) | −44.8125 | − | 28.7992i | −1.78679 | − | 1.14830i | ||||
\(630\) | −5.26770 | + | 11.5346i | −0.209870 | + | 0.459551i | ||||
\(631\) | 13.7896 | + | 4.04900i | 0.548956 | + | 0.161188i | 0.544437 | − | 0.838802i | \(-0.316743\pi\) |
0.00451927 | + | 0.999990i | \(0.498561\pi\) | |||||||
\(632\) | 10.5617 | + | 12.1889i | 0.420122 | + | 0.484847i | ||||
\(633\) | 2.61902 | + | 3.02252i | 0.104097 | + | 0.120134i | ||||
\(634\) | 5.56316 | + | 1.63349i | 0.220941 | + | 0.0648742i | ||||
\(635\) | 21.0173 | − | 46.0214i | 0.834045 | − | 1.82630i | ||||
\(636\) | −2.13303 | − | 1.37081i | −0.0845799 | − | 0.0543562i | ||||
\(637\) | −2.79843 | + | 0.821692i | −0.110878 | + | 0.0325566i | ||||
\(638\) | 0.224441 | − | 1.56102i | 0.00888570 | − | 0.0618014i | ||||
\(639\) | −0.137728 | − | 0.301581i | −0.00544842 | − | 0.0119304i | ||||
\(640\) | −0.472039 | − | 3.28310i | −0.0186590 | − | 0.129776i | ||||
\(641\) | 4.83962 | − | 3.11024i | 0.191154 | − | 0.122847i | −0.441563 | − | 0.897230i | \(-0.645576\pi\) |
0.632717 | + | 0.774383i | \(0.281940\pi\) | |||||||
\(642\) | −6.99903 | + | 8.07731i | −0.276230 | + | 0.318786i | ||||
\(643\) | 10.2171 | 0.402924 | 0.201462 | − | 0.979496i | \(-0.435431\pi\) | ||||
0.201462 | + | 0.979496i | \(0.435431\pi\) | |||||||
\(644\) | −16.0435 | + | 8.87524i | −0.632201 | + | 0.349733i | ||||
\(645\) | 29.2560 | 1.15196 | ||||||||
\(646\) | −19.8337 | + | 22.8893i | −0.780347 | + | 0.900569i | ||||
\(647\) | 24.8914 | − | 15.9967i | 0.978581 | − | 0.628896i | 0.0495008 | − | 0.998774i | \(-0.484237\pi\) |
0.929080 | + | 0.369878i | \(0.120601\pi\) | |||||||
\(648\) | 0.142315 | + | 0.989821i | 0.00559065 | + | 0.0388839i | ||||
\(649\) | −1.15387 | − | 2.52663i | −0.0452935 | − | 0.0991789i | ||||
\(650\) | 0.327095 | − | 2.27500i | 0.0128297 | − | 0.0892327i | ||||
\(651\) | −15.9508 | + | 4.68359i | −0.625163 | + | 0.183564i | ||||
\(652\) | −6.27216 | − | 4.03087i | −0.245637 | − | 0.157861i | ||||
\(653\) | 3.23536 | − | 7.08445i | 0.126609 | − | 0.277236i | −0.835703 | − | 0.549181i | \(-0.814940\pi\) |
0.962313 | + | 0.271945i | \(0.0876670\pi\) | |||||||
\(654\) | 15.8951 | + | 4.66721i | 0.621546 | + | 0.182502i | ||||
\(655\) | −8.76425 | − | 10.1145i | −0.342448 | − | 0.395206i | ||||
\(656\) | −4.60981 | − | 5.32001i | −0.179983 | − | 0.207711i | ||||
\(657\) | −0.671223 | − | 0.197089i | −0.0261869 | − | 0.00768916i | ||||
\(658\) | 16.9427 | − | 37.0994i | 0.660496 | − | 1.44628i | ||||
\(659\) | −7.83147 | − | 5.03298i | −0.305071 | − | 0.196057i | 0.379144 | − | 0.925338i | \(-0.376219\pi\) |
−0.684215 | + | 0.729281i | \(0.739855\pi\) | |||||||
\(660\) | 1.12005 | − | 0.328875i | 0.0435978 | − | 0.0128015i | ||||
\(661\) | 3.60225 | − | 25.0542i | 0.140111 | − | 0.974494i | −0.791534 | − | 0.611125i | \(-0.790717\pi\) |
0.931645 | − | 0.363369i | \(-0.118374\pi\) | |||||||
\(662\) | 1.76651 | + | 3.86811i | 0.0686572 | + | 0.150338i | ||||
\(663\) | 0.396665 | + | 2.75887i | 0.0154052 | + | 0.107146i | ||||
\(664\) | 3.89845 | − | 2.50538i | 0.151289 | − | 0.0972278i | ||||
\(665\) | 34.5563 | − | 39.8801i | 1.34003 | − | 1.54648i | ||||
\(666\) | 7.31908 | 0.283608 | ||||||||
\(667\) | −21.4440 | − | 1.41526i | −0.830314 | − | 0.0547989i | ||||
\(668\) | 0.375716 | 0.0145369 | ||||||||
\(669\) | 3.93205 | − | 4.53783i | 0.152022 | − | 0.175443i | ||||
\(670\) | 15.6475 | − | 10.0560i | 0.604515 | − | 0.388498i | ||||
\(671\) | −0.633673 | − | 4.40729i | −0.0244627 | − | 0.170142i | ||||
\(672\) | −1.58816 | − | 3.47758i | −0.0612644 | − | 0.134150i | ||||
\(673\) | −3.37850 | + | 23.4980i | −0.130232 | + | 0.905780i | 0.815019 | + | 0.579434i | \(0.196727\pi\) |
−0.945250 | + | 0.326346i | \(0.894183\pi\) | |||||||
\(674\) | −7.00666 | + | 2.05734i | −0.269886 | + | 0.0792458i | ||||
\(675\) | −5.04885 | − | 3.24470i | −0.194330 | − | 0.124889i | ||||
\(676\) | −5.33947 | + | 11.6918i | −0.205364 | + | 0.449685i | ||||
\(677\) | 1.40913 | + | 0.413758i | 0.0541572 | + | 0.0159020i | 0.308699 | − | 0.951160i | \(-0.400106\pi\) |
−0.254542 | + | 0.967062i | \(0.581925\pi\) | |||||||
\(678\) | −8.58753 | − | 9.91053i | −0.329802 | − | 0.380612i | ||||
\(679\) | −28.1145 | − | 32.4459i | −1.07894 | − | 1.24516i | ||||
\(680\) | −23.1625 | − | 6.80112i | −0.888241 | − | 0.260811i | ||||
\(681\) | −0.179512 | + | 0.393077i | −0.00687893 | + | 0.0150628i | ||||
\(682\) | 1.28743 | + | 0.827383i | 0.0492983 | + | 0.0316821i | ||||
\(683\) | 19.5561 | − | 5.74219i | 0.748293 | − | 0.219719i | 0.114716 | − | 0.993398i | \(-0.463404\pi\) |
0.633577 | + | 0.773680i | \(0.281586\pi\) | |||||||
\(684\) | 0.592229 | − | 4.11904i | 0.0226444 | − | 0.157495i | ||||
\(685\) | −5.73812 | − | 12.5647i | −0.219242 | − | 0.480074i | ||||
\(686\) | −0.335031 | − | 2.33019i | −0.0127915 | − | 0.0889670i | ||||
\(687\) | 8.24452 | − | 5.29843i | 0.314548 | − | 0.202148i | ||||
\(688\) | −5.77613 | + | 6.66601i | −0.220213 | + | 0.254139i | ||||
\(689\) | 0.971018 | 0.0369928 | ||||||||
\(690\) | −5.64082 | − | 14.8734i | −0.214742 | − | 0.566220i | ||||
\(691\) | 27.6880 | 1.05330 | 0.526650 | − | 0.850082i | \(-0.323448\pi\) | ||||
0.526650 | + | 0.850082i | \(0.323448\pi\) | |||||||
\(692\) | −10.3056 | + | 11.8933i | −0.391759 | + | 0.452114i | ||||
\(693\) | 1.13189 | − | 0.727422i | 0.0429970 | − | 0.0276325i | ||||
\(694\) | −3.20663 | − | 22.3026i | −0.121722 | − | 0.846594i | ||||
\(695\) | −3.02000 | − | 6.61287i | −0.114555 | − | 0.250840i | ||||
\(696\) | 0.637728 | − | 4.43549i | 0.0241730 | − | 0.168127i | ||||
\(697\) | −49.1577 | + | 14.4340i | −1.86198 | + | 0.546727i | ||||
\(698\) | −17.7708 | − | 11.4206i | −0.672634 | − | 0.432276i | ||||
\(699\) | 3.66126 | − | 8.01703i | 0.138481 | − | 0.303232i | ||||
\(700\) | 22.0150 | + | 6.46418i | 0.832088 | + | 0.244323i | ||||
\(701\) | 7.33904 | + | 8.46970i | 0.277192 | + | 0.319896i | 0.877226 | − | 0.480078i | \(-0.159392\pi\) |
−0.600034 | + | 0.799974i | \(0.704846\pi\) | |||||||
\(702\) | −0.250788 | − | 0.289425i | −0.00946539 | − | 0.0109236i | ||||
\(703\) | −29.2238 | − | 8.58089i | −1.10220 | − | 0.323635i | ||||
\(704\) | −0.146201 | + | 0.320135i | −0.00551014 | + | 0.0120655i | ||||
\(705\) | 29.7676 | + | 19.1305i | 1.12111 | + | 0.720496i | ||||
\(706\) | 16.3199 | − | 4.79197i | 0.614209 | − | 0.180348i | ||||
\(707\) | −3.02260 | + | 21.0226i | −0.113676 | + | 0.790637i | ||||
\(708\) | −3.27862 | − | 7.17918i | −0.123218 | − | 0.269810i | ||||
\(709\) | −0.537380 | − | 3.73756i | −0.0201817 | − | 0.140367i | 0.977239 | − | 0.212140i | \(-0.0680434\pi\) |
−0.997421 | + | 0.0717731i | \(0.977134\pi\) | |||||||
\(710\) | −0.925109 | + | 0.594532i | −0.0347187 | + | 0.0223124i | ||||
\(711\) | −10.5617 | + | 12.1889i | −0.396095 | + | 0.457118i | ||||
\(712\) | 8.81732 | 0.330443 | ||||||||
\(713\) | 9.89360 | − | 18.3580i | 0.370518 | − | 0.687513i | ||||
\(714\) | −27.8245 | −1.04130 | ||||||||
\(715\) | −0.292753 | + | 0.337855i | −0.0109483 | + | 0.0126351i | ||||
\(716\) | −5.02535 | + | 3.22960i | −0.187806 | + | 0.120696i | ||||
\(717\) | −2.77390 | − | 19.2929i | −0.103593 | − | 0.720506i | ||||
\(718\) | −4.13610 | − | 9.05680i | −0.154358 | − | 0.337997i | ||||
\(719\) | 4.98867 | − | 34.6969i | 0.186046 | − | 1.29398i | −0.656078 | − | 0.754693i | \(-0.727786\pi\) |
0.842124 | − | 0.539284i | \(-0.181305\pi\) | |||||||
\(720\) | 3.18251 | − | 0.934468i | 0.118605 | − | 0.0348256i | ||||
\(721\) | 32.9846 | + | 21.1979i | 1.22841 | + | 0.789453i | ||||
\(722\) | 0.699045 | − | 1.53069i | 0.0260158 | − | 0.0569666i | ||||
\(723\) | −2.23585 | − | 0.656506i | −0.0831523 | − | 0.0244157i | ||||
\(724\) | 11.9884 | + | 13.8354i | 0.445546 | + | 0.514188i | ||||
\(725\) | 17.6116 | + | 20.3249i | 0.654080 | + | 0.754848i | ||||
\(726\) | 10.4356 | + | 3.06416i | 0.387301 | + | 0.113722i | ||||
\(727\) | 14.3475 | − | 31.4165i | 0.532118 | − | 1.16517i | −0.432527 | − | 0.901621i | \(-0.642378\pi\) |
0.964645 | − | 0.263554i | \(-0.0848947\pi\) | |||||||
\(728\) | 1.23167 | + | 0.791549i | 0.0456489 | + | 0.0293368i | ||||
\(729\) | −0.959493 | + | 0.281733i | −0.0355368 | + | 0.0104345i | ||||
\(730\) | −0.330219 | + | 2.29673i | −0.0122220 | + | 0.0850056i | ||||
\(731\) | 26.6677 | + | 58.3942i | 0.986342 | + | 2.15979i | ||||
\(732\) | −1.80052 | − | 12.5229i | −0.0665492 | − | 0.462860i | ||||
\(733\) | 8.18277 | − | 5.25875i | 0.302237 | − | 0.194236i | −0.380728 | − | 0.924687i | \(-0.624326\pi\) |
0.682965 | + | 0.730451i | \(0.260690\pi\) | |||||||
\(734\) | 15.9402 | − | 18.3960i | 0.588365 | − | 0.679009i | ||||
\(735\) | 25.2605 | 0.931747 | ||||||||
\(736\) | 4.50260 | + | 1.65124i | 0.165968 | + | 0.0608656i | ||||
\(737\) | −1.97359 | −0.0726982 | ||||||||
\(738\) | 4.60981 | − | 5.32001i | 0.169689 | − | 0.195832i | ||||
\(739\) | −16.3220 | + | 10.4895i | −0.600414 | + | 0.385863i | −0.805252 | − | 0.592933i | \(-0.797970\pi\) |
0.204837 | + | 0.978796i | \(0.434333\pi\) | |||||||
\(740\) | −3.45489 | − | 24.0293i | −0.127004 | − | 0.883334i | ||||
\(741\) | 0.662033 | + | 1.44965i | 0.0243204 | + | 0.0532542i | ||||
\(742\) | −1.37953 | + | 9.59482i | −0.0506440 | + | 0.352237i | ||||
\(743\) | −3.68671 | + | 1.08251i | −0.135252 | + | 0.0397136i | −0.348658 | − | 0.937250i | \(-0.613363\pi\) |
0.213406 | + | 0.976964i | \(0.431544\pi\) | |||||||
\(744\) | 3.65812 | + | 2.35093i | 0.134113 | + | 0.0861892i | ||||
\(745\) | 1.89639 | − | 4.15251i | 0.0694782 | − | 0.152136i | ||||
\(746\) | 33.3248 | + | 9.78504i | 1.22011 | + | 0.358256i | ||||
\(747\) | 3.03469 | + | 3.50222i | 0.111034 | + | 0.128140i | ||||
\(748\) | 1.67738 | + | 1.93580i | 0.0613311 | + | 0.0707799i | ||||
\(749\) | 39.2050 | + | 11.5116i | 1.43252 | + | 0.420626i | ||||
\(750\) | −1.38006 | + | 3.02190i | −0.0503925 | + | 0.110344i | ||||
\(751\) | −13.5502 | − | 8.70815i | −0.494452 | − | 0.317765i | 0.269542 | − | 0.962989i | \(-0.413128\pi\) |
−0.763994 | + | 0.645224i | \(0.776764\pi\) | |||||||
\(752\) | −10.2360 | + | 3.00557i | −0.373270 | + | 0.109602i | ||||
\(753\) | 2.10696 | − | 14.6542i | 0.0767818 | − | 0.534029i | ||||
\(754\) | 0.712894 | + | 1.56102i | 0.0259621 | + | 0.0568490i | ||||
\(755\) | 6.38581 | + | 44.4143i | 0.232403 | + | 1.61640i | ||||
\(756\) | 3.21616 | − | 2.06690i | 0.116971 | − | 0.0751725i | ||||
\(757\) | −1.71316 | + | 1.97709i | −0.0622658 | + | 0.0718586i | −0.786028 | − | 0.618191i | \(-0.787866\pi\) |
0.723762 | + | 0.690050i | \(0.242411\pi\) | |||||||
\(758\) | 25.2353 | 0.916586 | ||||||||
\(759\) | −0.349704 | + | 1.65121i | −0.0126934 | + | 0.0599352i | ||||
\(760\) | −13.8028 | −0.500680 | ||||||||
\(761\) | −16.1066 | + | 18.5880i | −0.583863 | + | 0.673813i | −0.968431 | − | 0.249283i | \(-0.919805\pi\) |
0.384568 | + | 0.923097i | \(0.374350\pi\) | |||||||
\(762\) | −12.8320 | + | 8.24661i | −0.464854 | + | 0.298743i | ||||
\(763\) | −9.01325 | − | 62.6886i | −0.326302 | − | 2.26948i | ||||
\(764\) | −3.37335 | − | 7.38660i | −0.122043 | − | 0.267238i | ||||
\(765\) | 3.43553 | − | 23.8946i | 0.124212 | − | 0.863912i | ||||
\(766\) | −26.5236 | + | 7.78803i | −0.958337 | + | 0.281393i | ||||
\(767\) | 2.54269 | + | 1.63409i | 0.0918113 | + | 0.0590036i | ||||
\(768\) | −0.415415 | + | 0.909632i | −0.0149900 | + | 0.0328235i | ||||
\(769\) | −30.2906 | − | 8.89412i | −1.09231 | − | 0.320730i | −0.314515 | − | 0.949252i | \(-0.601842\pi\) |
−0.777792 | + | 0.628522i | \(0.783660\pi\) | |||||||
\(770\) | −2.92250 | − | 3.37274i | −0.105320 | − | 0.121545i | ||||
\(771\) | 16.2187 | + | 18.7174i | 0.584104 | + | 0.674091i | ||||
\(772\) | −14.3524 | − | 4.21426i | −0.516556 | − | 0.151674i | ||||
\(773\) | 19.8367 | − | 43.4363i | 0.713477 | − | 1.56230i | −0.109349 | − | 0.994003i | \(-0.534877\pi\) |
0.822826 | − | 0.568293i | \(-0.192396\pi\) | |||||||
\(774\) | −7.42019 | − | 4.76867i | −0.266713 | − | 0.171406i | ||||
\(775\) | −25.0402 | + | 7.35247i | −0.899471 | + | 0.264109i | ||||
\(776\) | −1.59816 | + | 11.1155i | −0.0573707 | + | 0.399022i | ||||
\(777\) | −11.6238 | − | 25.4526i | −0.417003 | − | 0.913109i | ||||
\(778\) | 2.13813 | + | 14.8710i | 0.0766558 | + | 0.533153i | ||||
\(779\) | −24.6434 | + | 15.8373i | −0.882941 | + | 0.567432i | ||||
\(780\) | −0.831830 | + | 0.959983i | −0.0297843 | + | 0.0343729i | ||||
\(781\) | 0.116682 | 0.00417522 | ||||||||
\(782\) | 24.5451 | − | 24.8164i | 0.877730 | − | 0.887434i | ||||
\(783\) | 4.48110 | 0.160142 | ||||||||
\(784\) | −4.98727 | + | 5.75562i | −0.178117 | + | 0.205558i | ||||
\(785\) | 40.0093 | − | 25.7124i | 1.42799 | − | 0.917715i | ||||
\(786\) | 0.574233 | + | 3.99388i | 0.0204822 | + | 0.142457i | ||||
\(787\) | 13.9057 | + | 30.4493i | 0.495686 | + | 1.08540i | 0.977847 | + | 0.209319i | \(0.0671247\pi\) |
−0.482161 | + | 0.876083i | \(0.660148\pi\) | |||||||
\(788\) | 2.91508 | − | 20.2748i | 0.103845 | − | 0.722261i | ||||
\(789\) | 2.48394 | − | 0.729350i | 0.0884305 | − | 0.0259655i | ||||
\(790\) | 45.0028 | + | 28.9216i | 1.60113 | + | 1.02898i | ||||
\(791\) | −20.8263 | + | 45.6033i | −0.740498 | + | 1.62146i | ||||
\(792\) | −0.337683 | − | 0.0991526i | −0.0119990 | − | 0.00352323i | ||||
\(793\) | 3.17289 | + | 3.66171i | 0.112673 | + | 0.130031i | ||||
\(794\) | −12.2286 | − | 14.1126i | −0.433977 | − | 0.500837i | ||||
\(795\) | −8.06935 | − | 2.36937i | −0.286190 | − | 0.0840330i | ||||
\(796\) | 5.84829 | − | 12.8060i | 0.207287 | − | 0.453895i | ||||
\(797\) | 12.9998 | + | 8.35449i | 0.460478 | + | 0.295931i | 0.750238 | − | 0.661168i | \(-0.229939\pi\) |
−0.289760 | + | 0.957099i | \(0.593575\pi\) | |||||||
\(798\) | −15.2648 | + | 4.48216i | −0.540369 | + | 0.158667i | ||||
\(799\) | −11.0498 | + | 76.8534i | −0.390915 | + | 2.71888i | ||||
\(800\) | −2.49315 | − | 5.45923i | −0.0881461 | − | 0.193013i | ||||
\(801\) | 1.25484 | + | 8.72757i | 0.0443374 | + | 0.308374i | ||||
\(802\) | 27.2531 | − | 17.5145i | 0.962342 | − | 0.618460i | ||||
\(803\) | 0.161228 | − | 0.186067i | 0.00568961 | − | 0.00656617i | ||||
\(804\) | −5.60777 | −0.197771 | ||||||||
\(805\) | −42.7648 | + | 43.2376i | −1.50726 | + | 1.52393i | ||||
\(806\) | −1.66529 | −0.0586572 | ||||||||
\(807\) | −8.47147 | + | 9.77659i | −0.298210 | + | 0.344152i | ||||
\(808\) | 4.67354 | − | 3.00350i | 0.164415 | − | 0.105663i | ||||
\(809\) | 0.913503 | + | 6.35355i | 0.0321171 | + | 0.223379i | 0.999558 | − | 0.0297164i | \(-0.00946042\pi\) |
−0.967441 | + | 0.253095i | \(0.918551\pi\) | |||||||
\(810\) | 1.37787 | + | 3.01713i | 0.0484136 | + | 0.106011i | ||||
\(811\) | −5.58616 | + | 38.8526i | −0.196156 | + | 1.36430i | 0.619152 | + | 0.785271i | \(0.287476\pi\) |
−0.815308 | + | 0.579027i | \(0.803433\pi\) | |||||||
\(812\) | −16.4376 | + | 4.82651i | −0.576846 | + | 0.169377i | ||||
\(813\) | 9.82290 | + | 6.31280i | 0.344504 | + | 0.221399i | ||||
\(814\) | −1.07005 | + | 2.34309i | −0.0375053 | + | 0.0821252i | ||||
\(815\) | −23.7279 | − | 6.96714i | −0.831152 | − | 0.244048i | ||||
\(816\) | 4.76612 | + | 5.50040i | 0.166848 | + | 0.192552i | ||||
\(817\) | 24.0368 | + | 27.7399i | 0.840941 | + | 0.970497i | ||||
\(818\) | −12.9039 | − | 3.78892i | −0.451173 | − | 0.132476i | ||||
\(819\) | −0.608207 | + | 1.33179i | −0.0212525 | + | 0.0465364i | ||||
\(820\) | −19.6421 | − | 12.6232i | −0.685933 | − | 0.440822i | ||||
\(821\) | −49.1161 | + | 14.4218i | −1.71416 | + | 0.503323i | −0.983729 | − | 0.179660i | \(-0.942500\pi\) |
−0.730434 | + | 0.682984i | \(0.760682\pi\) | |||||||
\(822\) | −0.592667 | + | 4.12209i | −0.0206716 | + | 0.143774i | ||||
\(823\) | −20.9730 | − | 45.9244i | −0.731072 | − | 1.60082i | −0.797706 | − | 0.603046i | \(-0.793953\pi\) |
0.0666347 | − | 0.997777i | \(-0.478774\pi\) | |||||||
\(824\) | −1.45957 | − | 10.1515i | −0.0508464 | − | 0.353645i | ||||
\(825\) | 1.77689 | − | 1.14194i | 0.0618632 | − | 0.0397571i | ||||
\(826\) | −19.7592 | + | 22.8033i | −0.687510 | + | 0.793429i | ||||
\(827\) | −48.0754 | −1.67174 | −0.835872 | − | 0.548924i | \(-0.815038\pi\) | ||||
−0.835872 | + | 0.548924i | \(0.815038\pi\) | |||||||
\(828\) | −0.993649 | + | 4.69177i | −0.0345317 | + | 0.163050i | ||||
\(829\) | 27.4066 | 0.951871 | 0.475936 | − | 0.879480i | \(-0.342110\pi\) | ||||
0.475936 | + | 0.879480i | \(0.342110\pi\) | |||||||
\(830\) | 10.0657 | − | 11.6164i | 0.349384 | − | 0.403211i | ||||
\(831\) | −11.9550 | + | 7.68298i | −0.414713 | + | 0.266520i | ||||
\(832\) | −0.0545015 | − | 0.379066i | −0.00188950 | − | 0.0131418i | ||||
\(833\) | 23.0257 | + | 50.4192i | 0.797792 | + | 1.74692i | ||||
\(834\) | −0.311923 | + | 2.16947i | −0.0108010 | + | 0.0751226i | ||||
\(835\) | 1.19572 | − | 0.351094i | 0.0413795 | − | 0.0121501i | ||||
\(836\) | 1.23206 | + | 0.791799i | 0.0426118 | + | 0.0273849i | ||||
\(837\) | −1.80640 | + | 3.95545i | −0.0624382 | + | 0.136721i | ||||
\(838\) | −12.9808 | − | 3.81152i | −0.448416 | − | 0.131667i | ||||
\(839\) | −12.9755 | − | 14.9745i | −0.447962 | − | 0.516976i | 0.486189 | − | 0.873854i | \(-0.338387\pi\) |
−0.934151 | + | 0.356878i | \(0.883841\pi\) | |||||||
\(840\) | −8.30400 | − | 9.58333i | −0.286515 | − | 0.330656i | ||||
\(841\) | 8.55840 | + | 2.51297i | 0.295117 | + | 0.0866543i | ||||
\(842\) | −10.6528 | + | 23.3264i | −0.367120 | + | 0.803880i | ||||
\(843\) | 10.7385 | + | 6.90121i | 0.369853 | + | 0.237690i | ||||
\(844\) | −3.83736 | + | 1.12675i | −0.132087 | + | 0.0387843i | ||||
\(845\) | −6.06728 | + | 42.1988i | −0.208721 | + | 1.45168i | ||||
\(846\) | −4.43172 | − | 9.70411i | −0.152366 | − | 0.333634i | ||||
\(847\) | −5.91747 | − | 41.1569i | −0.203327 | − | 1.41417i | ||||
\(848\) | 2.13303 | − | 1.37081i | 0.0732484 | − | 0.0470739i | ||||
\(849\) | −1.74041 | + | 2.00855i | −0.0597309 | + | 0.0689331i | ||||
\(850\) | −43.6799 | −1.49821 | ||||||||
\(851\) | 32.9549 | + | 12.0856i | 1.12968 | + | 0.414288i | ||||
\(852\) | 0.331542 | 0.0113584 | ||||||||
\(853\) | 13.4772 | − | 15.5536i | 0.461452 | − | 0.532544i | −0.476562 | − | 0.879141i | \(-0.658117\pi\) |
0.938014 | + | 0.346597i | \(0.112663\pi\) | |||||||
\(854\) | −40.6898 | + | 26.1498i | −1.39238 | + | 0.894827i | ||||
\(855\) | −1.96434 | − | 13.6623i | −0.0671791 | − | 0.467241i | ||||
\(856\) | −4.43988 | − | 9.72197i | −0.151752 | − | 0.332290i | ||||
\(857\) | 1.22485 | − | 8.51902i | 0.0418401 | − | 0.291004i | −0.958149 | − | 0.286271i | \(-0.907584\pi\) |
0.999989 | − | 0.00473330i | \(-0.00150666\pi\) | |||||||
\(858\) | 0.129320 | − | 0.0379719i | 0.00441492 | − | 0.00129634i | ||||
\(859\) | 34.9945 | + | 22.4896i | 1.19400 | + | 0.767336i | 0.977908 | − | 0.209038i | \(-0.0670331\pi\) |
0.216090 | + | 0.976373i | \(0.430669\pi\) | |||||||
\(860\) | −12.1534 | + | 26.6122i | −0.414428 | + | 0.907470i | ||||
\(861\) | −25.8218 | − | 7.58197i | −0.880005 | − | 0.258393i | ||||
\(862\) | −11.2362 | − | 12.9673i | −0.382707 | − | 0.441668i | ||||
\(863\) | −9.11321 | − | 10.5172i | −0.310217 | − | 0.358010i | 0.579136 | − | 0.815231i | \(-0.303390\pi\) |
−0.889353 | + | 0.457221i | \(0.848845\pi\) | |||||||
\(864\) | −0.959493 | − | 0.281733i | −0.0326426 | − | 0.00958474i | ||||
\(865\) | −21.6837 | + | 47.4807i | −0.737268 | + | 1.61439i | ||||
\(866\) | 8.03155 | + | 5.16156i | 0.272923 | + | 0.175397i | ||||
\(867\) | 34.5132 | − | 10.1340i | 1.17213 | − | 0.344168i | ||||
\(868\) | 2.36588 | − | 16.4550i | 0.0803030 | − | 0.558520i | ||||
\(869\) | −2.35795 | − | 5.16319i | −0.0799879 | − | 0.175149i | ||||
\(870\) | −2.11525 | − | 14.7119i | −0.0717139 | − | 0.498781i | ||||
\(871\) | 1.80665 | − | 1.16107i | 0.0612162 | − | 0.0393412i | ||||
\(872\) | −10.8485 | + | 12.5198i | −0.367376 | + | 0.423975i | ||||
\(873\) | −11.2298 | −0.380070 | ||||||||
\(874\) | 9.46811 | − | 17.5685i | 0.320264 | − | 0.594263i | ||||
\(875\) | 12.7006 | 0.429360 | ||||||||
\(876\) | 0.458114 | − | 0.528692i | 0.0154782 | − | 0.0178628i | ||||
\(877\) | 8.64520 | − | 5.55594i | 0.291928 | − | 0.187611i | −0.386477 | − | 0.922299i | \(-0.626308\pi\) |
0.678405 | + | 0.734689i | \(0.262672\pi\) | |||||||
\(878\) | −3.39564 | − | 23.6172i | −0.114597 | − | 0.797042i | ||||
\(879\) | −4.52772 | − | 9.91432i | −0.152716 | − | 0.334402i | ||||
\(880\) | −0.166129 | + | 1.15545i | −0.00560020 | + | 0.0389502i | ||||
\(881\) | 17.8776 | − | 5.24934i | 0.602312 | − | 0.176855i | 0.0336603 | − | 0.999433i | \(-0.489284\pi\) |
0.568651 | + | 0.822579i | \(0.307465\pi\) | |||||||
\(882\) | −6.40680 | − | 4.11740i | −0.215728 | − | 0.138640i | ||||
\(883\) | 8.20154 | − | 17.9589i | 0.276004 | − | 0.604364i | −0.719970 | − | 0.694005i | \(-0.755845\pi\) |
0.995974 | + | 0.0896408i | \(0.0285719\pi\) | |||||||
\(884\) | −2.67434 | − | 0.785256i | −0.0899476 | − | 0.0264110i | ||||
\(885\) | −17.1430 | − | 19.7840i | −0.576254 | − | 0.665033i | ||||
\(886\) | −4.61237 | − | 5.32296i | −0.154955 | − | 0.178828i | ||||
\(887\) | −21.9589 | − | 6.44772i | −0.737308 | − | 0.216493i | −0.108547 | − | 0.994091i | \(-0.534620\pi\) |
−0.628762 | + | 0.777598i | \(0.716438\pi\) | |||||||
\(888\) | −3.04045 | + | 6.65767i | −0.102031 | + | 0.223417i | ||||
\(889\) | 49.0574 | + | 31.5273i | 1.64533 | + | 1.05739i | ||||
\(890\) | 28.0612 | − | 8.23951i | 0.940613 | − | 0.276189i | ||||
\(891\) | 0.0500861 | − | 0.348356i | 0.00167795 | − | 0.0116704i | ||||
\(892\) | 2.49432 | + | 5.46180i | 0.0835160 | + | 0.182875i | ||||
\(893\) | 6.31800 | + | 43.9426i | 0.211424 | + | 1.47048i | ||||
\(894\) | −1.15783 | + | 0.744091i | −0.0387235 | + | 0.0248861i | ||||
\(895\) | −12.9753 | + | 14.9743i | −0.433715 | + | 0.500534i | ||||
\(896\) | 3.82306 | 0.127719 | ||||||||
\(897\) | −0.651287 | − | 1.71728i | −0.0217459 | − | 0.0573382i | ||||
\(898\) | 37.7146 | 1.25855 | ||||||||
\(899\) | 12.7604 | − | 14.7263i | 0.425583 | − | 0.491150i | ||||
\(900\) | 5.04885 | − | 3.24470i | 0.168295 | − | 0.108157i | ||||
\(901\) | −2.62625 | − | 18.2659i | −0.0874929 | − | 0.608527i | ||||
\(902\) | 1.02916 | + | 2.25355i | 0.0342673 | + | 0.0750349i | ||||
\(903\) | −4.79898 | + | 33.3777i | −0.159700 | + | 1.11074i | ||||
\(904\) | 12.5823 | − | 3.69450i | 0.418482 | − | 0.122877i | ||||
\(905\) | 51.0820 | + | 32.8284i | 1.69802 | + | 1.09125i | ||||
\(906\) | 5.61979 | − | 12.3056i | 0.186705 | − | 0.408827i | ||||
\(907\) | 19.0109 | + | 5.58211i | 0.631247 | + | 0.185351i | 0.581677 | − | 0.813420i | \(-0.302397\pi\) |
0.0495699 | + | 0.998771i | \(0.484215\pi\) | |||||||
\(908\) | −0.282984 | − | 0.326581i | −0.00939114 | − | 0.0108380i | ||||
\(909\) | 3.63804 | + | 4.19853i | 0.120666 | + | 0.139256i | ||||
\(910\) | 4.65949 | + | 1.36815i | 0.154461 | + | 0.0453537i | ||||
\(911\) | −8.70510 | + | 19.0615i | −0.288413 | + | 0.631536i | −0.997272 | − | 0.0738141i | \(-0.976483\pi\) |
0.708859 | + | 0.705350i | \(0.249210\pi\) | |||||||
\(912\) | 3.50079 | + | 2.24982i | 0.115923 | + | 0.0744990i | ||||
\(913\) | −1.56486 | + | 0.459483i | −0.0517891 | + | 0.0152067i | ||||
\(914\) | −0.277920 | + | 1.93298i | −0.00919278 | + | 0.0639372i | ||||
\(915\) | −17.4324 | − | 38.1717i | −0.576298 | − | 1.26192i | ||||
\(916\) | 1.39473 | + | 9.70053i | 0.0460830 | + | 0.320515i | ||||
\(917\) | 12.9771 | − | 8.33985i | 0.428540 | − | 0.275406i | ||||
\(918\) | −4.76612 | + | 5.50040i | −0.157305 | + | 0.181540i | ||||
\(919\) | −33.7364 | −1.11286 | −0.556431 | − | 0.830894i | \(-0.687830\pi\) | ||||
−0.556431 | + | 0.830894i | \(0.687830\pi\) | |||||||
\(920\) | 15.8726 | + | 1.04756i | 0.523304 | + | 0.0345369i | ||||
\(921\) | 10.7986 | 0.355825 | ||||||||
\(922\) | 4.48627 | − | 5.17743i | 0.147747 | − | 0.170510i | ||||
\(923\) | −0.106813 | + | 0.0686444i | −0.00351579 | + | 0.00225946i | ||||
\(924\) | 0.191482 | + | 1.33179i | 0.00629930 | + | 0.0438126i | ||||
\(925\) | −18.2475 | − | 39.9565i | −0.599975 | − | 1.31376i | ||||
\(926\) | −0.210102 | + | 1.46129i | −0.00690439 | + | 0.0480211i | ||||
\(927\) | 9.84047 | − | 2.88942i | 0.323203 | − | 0.0949011i | ||||
\(928\) | 3.76974 | + | 2.42267i | 0.123748 | + | 0.0795280i | ||||
\(929\) | −18.8567 | + | 41.2904i | −0.618668 | + | 1.35469i | 0.297816 | + | 0.954623i | \(0.403742\pi\) |
−0.916484 | + | 0.400071i | \(0.868985\pi\) | |||||||
\(930\) | 13.8389 | + | 4.06345i | 0.453794 | + | 0.133246i | ||||
\(931\) | 20.7540 | + | 23.9514i | 0.680186 | + | 0.784976i | ||||
\(932\) | 5.77161 | + | 6.66079i | 0.189055 | + | 0.218181i | ||||
\(933\) | 7.21560 | + | 2.11869i | 0.236228 | + | 0.0693629i | ||||
\(934\) | −4.73130 | + | 10.3601i | −0.154813 | + | 0.338993i | ||||
\(935\) | 7.14722 | + | 4.59324i | 0.233739 | + | 0.150215i | ||||
\(936\) | 0.367451 | − | 0.107893i | 0.0120105 | − | 0.00352661i | ||||
\(937\) | 8.53433 | − | 59.3575i | 0.278804 | − | 1.93913i | −0.0598305 | − | 0.998209i | \(-0.519056\pi\) |
0.338635 | − | 0.940918i | \(-0.390035\pi\) | |||||||
\(938\) | 8.90601 | + | 19.5015i | 0.290792 | + | 0.636745i | ||||
\(939\) | −2.30730 | − | 16.0477i | −0.0752960 | − | 0.523695i | ||||
\(940\) | −29.7676 | + | 19.1305i | −0.970914 | + | 0.623968i | ||||
\(941\) | 32.8241 | − | 37.8811i | 1.07004 | − | 1.23489i | 0.0992194 | − | 0.995066i | \(-0.468365\pi\) |
0.970817 | − | 0.239822i | \(-0.0770891\pi\) | |||||||
\(942\) | −14.3386 | −0.467176 | ||||||||
\(943\) | 29.5408 | − | 16.3419i | 0.961979 | − | 0.532166i | ||||
\(944\) | 7.89240 | 0.256876 | ||||||||
\(945\) | 8.30400 | − | 9.58333i | 0.270129 | − | 0.311746i | ||||
\(946\) | 2.61145 | − | 1.67828i | 0.0849056 | − | 0.0545655i | ||||
\(947\) | 3.06937 | + | 21.3479i | 0.0997411 | + | 0.693715i | 0.976929 | + | 0.213566i | \(0.0685080\pi\) |
−0.877187 | + | 0.480148i | \(0.840583\pi\) | |||||||
\(948\) | −6.69989 | − | 14.6707i | −0.217602 | − | 0.476482i | ||||
\(949\) | −0.0381270 | + | 0.265179i | −0.00123766 | + | 0.00860808i | ||||
\(950\) | −23.9633 | + | 7.03626i | −0.777473 | + | 0.228287i | ||||
\(951\) | −4.87761 | − | 3.13465i | −0.158167 | − | 0.101648i | ||||
\(952\) | 11.5587 | − | 25.3100i | 0.374620 | − | 0.820303i | ||||
\(953\) | 13.7135 | + | 4.02664i | 0.444224 | + | 0.130436i | 0.496192 | − | 0.868213i | \(-0.334731\pi\) |
−0.0519682 | + | 0.998649i | \(0.516549\pi\) | |||||||
\(954\) | 1.66042 | + | 1.91623i | 0.0537581 | + | 0.0620401i | ||||
\(955\) | −17.6383 | − | 20.3556i | −0.570760 | − | 0.658693i | ||||
\(956\) | 18.7018 | + | 5.49133i | 0.604858 | + | 0.177602i | ||||
\(957\) | −0.655140 | + | 1.43456i | −0.0211777 | + | 0.0463726i | ||||
\(958\) | −15.0265 | − | 9.65696i | −0.485485 | − | 0.312002i | ||||
\(959\) | 15.2761 | − | 4.48547i | 0.493292 | − | 0.144843i | ||||
\(960\) | −0.472039 | + | 3.28310i | −0.0152350 | + | 0.105962i | ||||
\(961\) | −5.02291 | − | 10.9986i | −0.162029 | − | 0.354795i | ||||
\(962\) | −0.398900 | − | 2.77441i | −0.0128611 | − | 0.0894507i | ||||
\(963\) | 8.99116 | − | 5.77827i | 0.289736 | − | 0.186202i | ||||
\(964\) | 1.52599 | − | 1.76108i | 0.0491487 | − | 0.0567206i | ||||
\(965\) | −49.6148 | −1.59716 | ||||||||
\(966\) | 17.8940 | − | 3.99576i | 0.575731 | − | 0.128562i | ||||
\(967\) | −52.3238 | −1.68262 | −0.841310 | − | 0.540553i | \(-0.818215\pi\) | ||||
−0.841310 | + | 0.540553i | \(0.818215\pi\) | |||||||
\(968\) | −7.12236 | + | 8.21964i | −0.228921 | + | 0.264189i | ||||
\(969\) | 25.4790 | − | 16.3744i | 0.818503 | − | 0.526020i | ||||
\(970\) | 5.30089 | + | 36.8685i | 0.170201 | + | 1.18378i | ||||
\(971\) | 3.43811 | + | 7.52842i | 0.110334 | + | 0.241598i | 0.956742 | − | 0.290936i | \(-0.0939668\pi\) |
−0.846408 | + | 0.532535i | \(0.821240\pi\) | |||||||
\(972\) | 0.142315 | − | 0.989821i | 0.00456475 | − | 0.0317485i | ||||
\(973\) | 8.03988 | − | 2.36072i | 0.257747 | − | 0.0756812i | ||||
\(974\) | −7.67408 | − | 4.93183i | −0.245893 | − | 0.158026i | ||||
\(975\) | −0.954786 | + | 2.09069i | −0.0305776 | + | 0.0669556i | ||||
\(976\) | 12.1392 | + | 3.56439i | 0.388566 | + | 0.114093i | ||||
\(977\) | −1.32060 | − | 1.52405i | −0.0422496 | − | 0.0487587i | 0.734231 | − | 0.678899i | \(-0.237543\pi\) |
−0.776481 | + | 0.630141i | \(0.782997\pi\) | |||||||
\(978\) | 4.88246 | + | 5.63466i | 0.156124 | + | 0.180177i | ||||
\(979\) | −2.97746 | − | 0.874260i | −0.0951599 | − | 0.0279415i | ||||
\(980\) | −10.4936 | + | 22.9778i | −0.335205 | + | 0.733997i | ||||
\(981\) | −13.9363 | − | 8.95631i | −0.444952 | − | 0.285953i | ||||
\(982\) | 31.6886 | − | 9.30461i | 1.01122 | − | 0.296922i | ||||
\(983\) | −1.79669 | + | 12.4963i | −0.0573055 | + | 0.398569i | 0.940900 | + | 0.338685i | \(0.109982\pi\) |
−0.998205 | + | 0.0598838i | \(0.980927\pi\) | |||||||
\(984\) | 2.92426 | + | 6.40324i | 0.0932221 | + | 0.204128i | ||||
\(985\) | −9.66892 | − | 67.2488i | −0.308078 | − | 2.14273i | ||||
\(986\) | 27.4364 | − | 17.6323i | 0.873754 | − | 0.561528i | ||||
\(987\) | −26.7085 | + | 30.8233i | −0.850142 | + | 0.981116i | ||||
\(988\) | −1.59367 | −0.0507013 | ||||||||
\(989\) | −25.5359 | − | 33.7239i | −0.811995 | − | 1.07236i | ||||
\(990\) | −1.16733 | −0.0371003 | ||||||||
\(991\) | 17.3281 | − | 19.9978i | 0.550447 | − | 0.635249i | −0.410540 | − | 0.911842i | \(-0.634660\pi\) |
0.960987 | + | 0.276593i | \(0.0892054\pi\) | |||||||
\(992\) | −3.65812 | + | 2.35093i | −0.116145 | + | 0.0746421i | ||||
\(993\) | −0.605178 | − | 4.20910i | −0.0192047 | − | 0.133572i | ||||
\(994\) | −0.526540 | − | 1.15296i | −0.0167008 | − | 0.0365698i | ||||
\(995\) | 6.64545 | − | 46.2201i | 0.210675 | − | 1.46528i | ||||
\(996\) | −4.44639 | + | 1.30558i | −0.140889 | + | 0.0413688i | ||||
\(997\) | −28.8712 | − | 18.5544i | −0.914359 | − | 0.587623i | −0.00334331 | − | 0.999994i | \(-0.501064\pi\) |
−0.911016 | + | 0.412372i | \(0.864701\pi\) | |||||||
\(998\) | −3.36883 | + | 7.37670i | −0.106638 | + | 0.233505i | ||||
\(999\) | −7.02260 | − | 2.06202i | −0.222185 | − | 0.0652395i |
(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 | 138.2.e.d.85.1 | yes | 10 | |
3.2 | odd | 2 | 414.2.i.a.361.1 | 10 | |||
23.6 | even | 11 | 3174.2.a.x.1.1 | 5 | |||
23.13 | even | 11 | inner | 138.2.e.d.13.1 | ✓ | 10 | |
23.17 | odd | 22 | 3174.2.a.w.1.5 | 5 | |||
69.17 | even | 22 | 9522.2.a.by.1.1 | 5 | |||
69.29 | odd | 22 | 9522.2.a.bx.1.5 | 5 | |||
69.59 | odd | 22 | 414.2.i.a.289.1 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
138.2.e.d.13.1 | ✓ | 10 | 23.13 | even | 11 | inner | |
138.2.e.d.85.1 | yes | 10 | 1.1 | even | 1 | trivial | |
414.2.i.a.289.1 | 10 | 69.59 | odd | 22 | |||
414.2.i.a.361.1 | 10 | 3.2 | odd | 2 | |||
3174.2.a.w.1.5 | 5 | 23.17 | odd | 22 | |||
3174.2.a.x.1.1 | 5 | 23.6 | even | 11 | |||
9522.2.a.bx.1.5 | 5 | 69.29 | odd | 22 | |||
9522.2.a.by.1.1 | 5 | 69.17 | even | 22 |