Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1638,2,Mod(289,1638)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1638, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1638.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1638 = 2 \cdot 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1638.m (of order \(3\), degree \(2\), 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: | \(13.0794958511\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 8.0.447703281.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} - 2x^{6} + 2x^{5} + 3x^{4} + 4x^{3} - 8x^{2} - 8x + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 546) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 1621.3 | ||
Root | \(-0.571299 - 1.29368i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1638.1621 |
Dual form | 1638.2.m.h.289.3 |
$q$-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 \(\left(\mathbb{Z}/1638\mathbb{Z}\right)^\times\).
\(n\) | \(379\) | \(703\) | \(911\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | −0.707107 | ||||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | 0.441221 | + | 0.764218i | 0.197320 | + | 0.341769i | 0.947659 | − | 0.319285i | \(-0.103443\pi\) |
−0.750338 | + | 0.661054i | \(0.770109\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.369922 | − | 2.61976i | 0.139817 | − | 0.990177i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.441221 | − | 0.764218i | −0.139526 | − | 0.241667i | ||||
\(11\) | 0.775934 | + | 1.34396i | 0.233953 | + | 0.405219i | 0.958968 | − | 0.283515i | \(-0.0915005\pi\) |
−0.725015 | + | 0.688733i | \(0.758167\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.13422 | − | 2.90605i | 0.591925 | − | 0.805993i | ||||
\(14\) | −0.369922 | + | 2.61976i | −0.0988658 | + | 0.700161i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 7.17592 | 1.74042 | 0.870208 | − | 0.492685i | \(-0.163984\pi\) | ||||
0.870208 | + | 0.492685i | \(0.163984\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.37080 | + | 4.10635i | −0.543900 | + | 0.942062i | 0.454776 | + | 0.890606i | \(0.349719\pi\) |
−0.998675 | + | 0.0514558i | \(0.983614\pi\) | |||||||
\(20\) | 0.441221 | + | 0.764218i | 0.0986601 | + | 0.170884i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.775934 | − | 1.34396i | −0.165430 | − | 0.286533i | ||||
\(23\) | −5.29348 | −1.10377 | −0.551883 | − | 0.833922i | \(-0.686091\pi\) | ||||
−0.551883 | + | 0.833922i | \(0.686091\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.11065 | − | 3.65575i | 0.422129 | − | 0.731150i | ||||
\(26\) | −2.13422 | + | 2.90605i | −0.418554 | + | 0.569923i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.369922 | − | 2.61976i | 0.0699087 | − | 0.495089i | ||||
\(29\) | −3.87494 | + | 6.71160i | −0.719559 | + | 1.24631i | 0.241616 | + | 0.970372i | \(0.422323\pi\) |
−0.961175 | + | 0.275940i | \(0.911011\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.24911 | − | 5.62762i | 0.583557 | − | 1.01075i | −0.411497 | − | 0.911411i | \(-0.634994\pi\) |
0.995054 | − | 0.0993390i | \(-0.0316728\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −7.17592 | −1.23066 | ||||||||
\(35\) | 2.16529 | − | 0.873194i | 0.366000 | − | 0.147597i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.330574 | 0.0543460 | 0.0271730 | − | 0.999631i | \(-0.491349\pi\) | ||||
0.0271730 | + | 0.999631i | \(0.491349\pi\) | |||||||
\(38\) | 2.37080 | − | 4.10635i | 0.384595 | − | 0.666138i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.441221 | − | 0.764218i | −0.0697632 | − | 0.120833i | ||||
\(41\) | 3.02918 | − | 5.24669i | 0.473079 | − | 0.819396i | −0.526447 | − | 0.850208i | \(-0.676476\pi\) |
0.999525 | + | 0.0308121i | \(0.00980934\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.35975 | + | 5.81927i | 0.512358 | + | 0.887430i | 0.999897 | + | 0.0143288i | \(0.00456116\pi\) |
−0.487540 | + | 0.873101i | \(0.662106\pi\) | |||||||
\(44\) | 0.775934 | + | 1.34396i | 0.116977 | + | 0.202609i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 5.29348 | 0.780480 | ||||||||
\(47\) | −0.976430 | − | 1.69123i | −0.142427 | − | 0.246691i | 0.785983 | − | 0.618248i | \(-0.212157\pi\) |
−0.928410 | + | 0.371557i | \(0.878824\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.72632 | − | 1.93822i | −0.960902 | − | 0.276888i | ||||
\(50\) | −2.11065 | + | 3.65575i | −0.298491 | + | 0.517001i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.13422 | − | 2.90605i | 0.295963 | − | 0.402996i | ||||
\(53\) | 6.74308 | − | 11.6794i | 0.926233 | − | 1.60428i | 0.136667 | − | 0.990617i | \(-0.456361\pi\) |
0.789566 | − | 0.613666i | \(-0.210306\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.684718 | + | 1.18597i | −0.0923273 | + | 0.159916i | ||||
\(56\) | −0.369922 | + | 2.61976i | −0.0494329 | + | 0.350081i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.87494 | − | 6.71160i | 0.508805 | − | 0.881276i | ||||
\(59\) | −5.27138 | −0.686275 | −0.343137 | − | 0.939285i | \(-0.611490\pi\) | ||||
−0.343137 | + | 0.939285i | \(0.611490\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.17592 | − | 12.4291i | 0.918782 | − | 1.59138i | 0.117515 | − | 0.993071i | \(-0.462507\pi\) |
0.801267 | − | 0.598306i | \(-0.204159\pi\) | |||||||
\(62\) | −3.24911 | + | 5.62762i | −0.412637 | + | 0.714708i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 3.16252 | + | 0.348796i | 0.392262 | + | 0.0432628i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.75236 | + | 6.49929i | 0.458424 | + | 0.794014i | 0.998878 | − | 0.0473596i | \(-0.0150807\pi\) |
−0.540454 | + | 0.841374i | \(0.681747\pi\) | |||||||
\(68\) | 7.17592 | 0.870208 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −2.16529 | + | 0.873194i | −0.258801 | + | 0.104367i | ||||
\(71\) | −5.00985 | − | 8.67732i | −0.594560 | − | 1.02981i | −0.993609 | − | 0.112879i | \(-0.963993\pi\) |
0.399049 | − | 0.916930i | \(-0.369340\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.93284 | + | 3.34778i | −0.226222 | + | 0.391828i | −0.956685 | − | 0.291124i | \(-0.905971\pi\) |
0.730464 | + | 0.682952i | \(0.239304\pi\) | |||||||
\(74\) | −0.330574 | −0.0384284 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.37080 | + | 4.10635i | −0.271950 | + | 0.471031i | ||||
\(77\) | 3.80789 | − | 1.53560i | 0.433949 | − | 0.174998i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 6.67928 | + | 11.5689i | 0.751478 | + | 1.30160i | 0.947106 | + | 0.320920i | \(0.103992\pi\) |
−0.195629 | + | 0.980678i | \(0.562675\pi\) | |||||||
\(80\) | 0.441221 | + | 0.764218i | 0.0493300 | + | 0.0854422i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −3.02918 | + | 5.24669i | −0.334517 | + | 0.579401i | ||||
\(83\) | 10.5519 | 1.15822 | 0.579109 | − | 0.815250i | \(-0.303401\pi\) | ||||
0.579109 | + | 0.815250i | \(0.303401\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.16617 | + | 5.48396i | 0.343419 | + | 0.594820i | ||||
\(86\) | −3.35975 | − | 5.81927i | −0.362292 | − | 0.627508i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.775934 | − | 1.34396i | −0.0827149 | − | 0.143266i | ||||
\(89\) | −14.8167 | −1.57057 | −0.785285 | − | 0.619134i | \(-0.787484\pi\) | ||||
−0.785285 | + | 0.619134i | \(0.787484\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −6.82366 | − | 6.66615i | −0.715314 | − | 0.698803i | ||||
\(92\) | −5.29348 | −0.551883 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.976430 | + | 1.69123i | 0.100711 | + | 0.174437i | ||||
\(95\) | −4.18420 | −0.429290 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.79259 | + | 10.0331i | 0.588149 | + | 1.01870i | 0.994475 | + | 0.104975i | \(0.0334764\pi\) |
−0.406326 | + | 0.913728i | \(0.633190\pi\) | |||||||
\(98\) | 6.72632 | + | 1.93822i | 0.679460 | + | 0.195789i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.11065 | − | 3.65575i | 0.211065 | − | 0.365575i | ||||
\(101\) | 3.91439 | + | 6.77993i | 0.389497 | + | 0.674628i | 0.992382 | − | 0.123200i | \(-0.0393156\pi\) |
−0.602885 | + | 0.797828i | \(0.705982\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.430172 | + | 0.745081i | 0.0423862 | + | 0.0734150i | 0.886440 | − | 0.462843i | \(-0.153171\pi\) |
−0.844054 | + | 0.536258i | \(0.819837\pi\) | |||||||
\(104\) | −2.13422 | + | 2.90605i | −0.209277 | + | 0.284961i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −6.74308 | + | 11.6794i | −0.654946 | + | 1.13440i | ||||
\(107\) | 8.14260 | 0.787175 | 0.393587 | − | 0.919287i | \(-0.371234\pi\) | ||||
0.393587 | + | 0.919287i | \(0.371234\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.73806 | − | 8.20656i | 0.453824 | − | 0.786046i | −0.544796 | − | 0.838569i | \(-0.683393\pi\) |
0.998620 | + | 0.0525229i | \(0.0167263\pi\) | |||||||
\(110\) | 0.684718 | − | 1.18597i | 0.0652853 | − | 0.113077i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.369922 | − | 2.61976i | 0.0349543 | − | 0.247544i | ||||
\(113\) | −5.71537 | − | 9.89931i | −0.537657 | − | 0.931249i | −0.999030 | − | 0.0440426i | \(-0.985976\pi\) |
0.461373 | − | 0.887206i | \(-0.347357\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.33559 | − | 4.04537i | −0.217795 | − | 0.377233i | ||||
\(116\) | −3.87494 | + | 6.71160i | −0.359779 | + | 0.623156i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 5.27138 | 0.485270 | ||||||||
\(119\) | 2.65453 | − | 18.7992i | 0.243340 | − | 1.72332i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.29585 | − | 7.44063i | 0.390532 | − | 0.676421i | ||||
\(122\) | −7.17592 | + | 12.4291i | −0.649677 | + | 1.12527i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.24911 | − | 5.62762i | 0.291778 | − | 0.505375i | ||||
\(125\) | 8.13726 | 0.727819 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 3.02592 | − | 5.24105i | 0.268507 | − | 0.465068i | −0.699969 | − | 0.714173i | \(-0.746803\pi\) |
0.968477 | + | 0.249105i | \(0.0801363\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −3.16252 | − | 0.348796i | −0.277371 | − | 0.0305914i | ||||
\(131\) | 2.66045 | + | 4.60804i | 0.232445 | + | 0.402606i | 0.958527 | − | 0.285002i | \(-0.0919941\pi\) |
−0.726082 | + | 0.687608i | \(0.758661\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 9.88066 | + | 7.72997i | 0.856762 | + | 0.670274i | ||||
\(134\) | −3.75236 | − | 6.49929i | −0.324155 | − | 0.561453i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −7.17592 | −0.615330 | ||||||||
\(137\) | 8.01122 | 0.684445 | 0.342222 | − | 0.939619i | \(-0.388820\pi\) | ||||
0.342222 | + | 0.939619i | \(0.388820\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 8.87582 | + | 15.3734i | 0.752838 | + | 1.30395i | 0.946442 | + | 0.322873i | \(0.104649\pi\) |
−0.193605 | + | 0.981080i | \(0.562018\pi\) | |||||||
\(140\) | 2.16529 | − | 0.873194i | 0.183000 | − | 0.0737984i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 5.00985 | + | 8.67732i | 0.420418 | + | 0.728185i | ||||
\(143\) | 5.56162 | + | 0.613395i | 0.465086 | + | 0.0512947i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.83883 | −0.567934 | ||||||||
\(146\) | 1.93284 | − | 3.34778i | 0.159963 | − | 0.277064i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.330574 | 0.0271730 | ||||||||
\(149\) | 8.66161 | − | 15.0024i | 0.709587 | − | 1.22904i | −0.255424 | − | 0.966829i | \(-0.582215\pi\) |
0.965010 | − | 0.262211i | \(-0.0844518\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.40927 | + | 2.44093i | −0.114685 | + | 0.198640i | −0.917654 | − | 0.397381i | \(-0.869919\pi\) |
0.802969 | + | 0.596021i | \(0.203252\pi\) | |||||||
\(152\) | 2.37080 | − | 4.10635i | 0.192298 | − | 0.333069i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −3.80789 | + | 1.53560i | −0.306848 | + | 0.123743i | ||||
\(155\) | 5.73430 | 0.460590 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.39822 | − | 11.0820i | 0.510634 | − | 0.884443i | −0.489290 | − | 0.872121i | \(-0.662744\pi\) |
0.999924 | − | 0.0123225i | \(-0.00392247\pi\) | |||||||
\(158\) | −6.67928 | − | 11.5689i | −0.531375 | − | 0.920368i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.441221 | − | 0.764218i | −0.0348816 | − | 0.0604167i | ||||
\(161\) | −1.95817 | + | 13.8677i | −0.154326 | + | 1.09292i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 5.34387 | − | 9.25586i | 0.418564 | − | 0.724975i | −0.577231 | − | 0.816581i | \(-0.695867\pi\) |
0.995795 | + | 0.0916061i | \(0.0292001\pi\) | |||||||
\(164\) | 3.02918 | − | 5.24669i | 0.236539 | − | 0.409698i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −10.5519 | −0.818984 | ||||||||
\(167\) | 9.90412 | − | 17.1544i | 0.766404 | − | 1.32745i | −0.173097 | − | 0.984905i | \(-0.555377\pi\) |
0.939501 | − | 0.342546i | \(-0.111289\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.89023 | − | 12.4043i | −0.299249 | − | 0.954175i | ||||
\(170\) | −3.16617 | − | 5.48396i | −0.242834 | − | 0.420601i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.35975 | + | 5.81927i | 0.256179 | + | 0.443715i | ||||
\(173\) | −0.869332 | + | 1.50573i | −0.0660941 | + | 0.114478i | −0.897179 | − | 0.441668i | \(-0.854387\pi\) |
0.831085 | + | 0.556146i | \(0.187720\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −8.79642 | − | 6.88174i | −0.664947 | − | 0.520210i | ||||
\(176\) | 0.775934 | + | 1.34396i | 0.0584883 | + | 0.101305i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 14.8167 | 1.11056 | ||||||||
\(179\) | 4.89644 | + | 8.48088i | 0.365977 | + | 0.633890i | 0.988932 | − | 0.148367i | \(-0.0474016\pi\) |
−0.622956 | + | 0.782257i | \(0.714068\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −11.5901 | −0.861486 | −0.430743 | − | 0.902475i | \(-0.641748\pi\) | ||||
−0.430743 | + | 0.902475i | \(0.641748\pi\) | |||||||
\(182\) | 6.82366 | + | 6.66615i | 0.505804 | + | 0.494128i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 5.29348 | 0.390240 | ||||||||
\(185\) | 0.145856 | + | 0.252631i | 0.0107236 | + | 0.0185738i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 5.56804 | + | 9.64413i | 0.407176 | + | 0.705249i | ||||
\(188\) | −0.976430 | − | 1.69123i | −0.0712135 | − | 0.123345i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 4.18420 | 0.303554 | ||||||||
\(191\) | −0.631864 | + | 1.09442i | −0.0457200 | + | 0.0791894i | −0.887980 | − | 0.459882i | \(-0.847892\pi\) |
0.842260 | + | 0.539072i | \(0.181225\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −9.49130 | − | 16.4394i | −0.683199 | − | 1.18334i | −0.973999 | − | 0.226552i | \(-0.927255\pi\) |
0.290800 | − | 0.956784i | \(-0.406079\pi\) | |||||||
\(194\) | −5.79259 | − | 10.0331i | −0.415884 | − | 0.720332i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −6.72632 | − | 1.93822i | −0.480451 | − | 0.138444i | ||||
\(197\) | −12.1786 | + | 21.0939i | −0.867688 | + | 1.50288i | −0.00333546 | + | 0.999994i | \(0.501062\pi\) |
−0.864353 | + | 0.502886i | \(0.832272\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 21.5059 | 1.52451 | 0.762255 | − | 0.647277i | \(-0.224092\pi\) | ||||
0.762255 | + | 0.647277i | \(0.224092\pi\) | |||||||
\(200\) | −2.11065 | + | 3.65575i | −0.149245 | + | 0.258500i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −3.91439 | − | 6.77993i | −0.275416 | − | 0.477034i | ||||
\(203\) | 16.1494 | + | 12.6342i | 1.13346 | + | 0.886747i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 5.34616 | 0.373392 | ||||||||
\(206\) | −0.430172 | − | 0.745081i | −0.0299715 | − | 0.0519122i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.13422 | − | 2.90605i | 0.147981 | − | 0.201498i | ||||
\(209\) | −7.35835 | −0.508988 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.56775 | − | 6.17953i | 0.245614 | − | 0.425416i | −0.716690 | − | 0.697392i | \(-0.754344\pi\) |
0.962304 | + | 0.271976i | \(0.0876771\pi\) | |||||||
\(212\) | 6.74308 | − | 11.6794i | 0.463117 | − | 0.802141i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −8.14260 | −0.556617 | ||||||||
\(215\) | −2.96479 | + | 5.13517i | −0.202197 | + | 0.350216i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −13.5411 | − | 10.5937i | −0.919231 | − | 0.719145i | ||||
\(218\) | −4.73806 | + | 8.20656i | −0.320902 | + | 0.555818i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.684718 | + | 1.18597i | −0.0461637 | + | 0.0799578i | ||||
\(221\) | 15.3150 | − | 20.8536i | 1.03020 | − | 1.40276i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −12.1673 | + | 21.0744i | −0.814784 | + | 1.41125i | 0.0946981 | + | 0.995506i | \(0.469811\pi\) |
−0.909483 | + | 0.415742i | \(0.863522\pi\) | |||||||
\(224\) | −0.369922 | + | 2.61976i | −0.0247164 | + | 0.175040i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 5.71537 | + | 9.89931i | 0.380181 | + | 0.658492i | ||||
\(227\) | −9.56035 | −0.634543 | −0.317271 | − | 0.948335i | \(-0.602767\pi\) | ||||
−0.317271 | + | 0.948335i | \(0.602767\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −5.40570 | − | 9.36295i | −0.357219 | − | 0.618721i | 0.630276 | − | 0.776371i | \(-0.282942\pi\) |
−0.987495 | + | 0.157650i | \(0.949608\pi\) | |||||||
\(230\) | 2.33559 | + | 4.04537i | 0.154005 | + | 0.266744i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.87494 | − | 6.71160i | 0.254402 | − | 0.440638i | ||||
\(233\) | 5.15806 | + | 8.93403i | 0.337916 | + | 0.585288i | 0.984041 | − | 0.177944i | \(-0.0569447\pi\) |
−0.646125 | + | 0.763232i | \(0.723611\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.861644 | − | 1.49241i | 0.0562074 | − | 0.0973541i | ||||
\(236\) | −5.27138 | −0.343137 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −2.65453 | + | 18.7992i | −0.172068 | + | 1.21857i | ||||
\(239\) | −11.0866 | −0.717130 | −0.358565 | − | 0.933505i | \(-0.616734\pi\) | ||||
−0.358565 | + | 0.933505i | \(0.616734\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −18.6739 | −1.20289 | −0.601447 | − | 0.798913i | \(-0.705409\pi\) | ||||
−0.601447 | + | 0.798913i | \(0.705409\pi\) | |||||||
\(242\) | −4.29585 | + | 7.44063i | −0.276148 | + | 0.478302i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 7.17592 | − | 12.4291i | 0.459391 | − | 0.795689i | ||||
\(245\) | −1.48658 | − | 5.99555i | −0.0949738 | − | 0.383042i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 6.87345 | + | 15.6535i | 0.437347 | + | 0.996009i | ||||
\(248\) | −3.24911 | + | 5.62762i | −0.206319 | + | 0.357354i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −8.13726 | −0.514646 | ||||||||
\(251\) | −0.00354883 | − | 0.00614676i | −0.000224000 | − | 0.000387980i | 0.865913 | − | 0.500194i | \(-0.166738\pi\) |
−0.866137 | + | 0.499806i | \(0.833405\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −4.10739 | − | 7.11421i | −0.258229 | − | 0.447266i | ||||
\(254\) | −3.02592 | + | 5.24105i | −0.189863 | + | 0.328853i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −12.6759 | −0.790701 | −0.395350 | − | 0.918530i | \(-0.629377\pi\) | ||||
−0.395350 | + | 0.918530i | \(0.629377\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.122287 | − | 0.866025i | 0.00759852 | − | 0.0538122i | ||||
\(260\) | 3.16252 | + | 0.348796i | 0.196131 | + | 0.0216314i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −2.66045 | − | 4.60804i | −0.164363 | − | 0.284686i | ||||
\(263\) | −2.59901 | − | 4.50161i | −0.160262 | − | 0.277581i | 0.774701 | − | 0.632328i | \(-0.217900\pi\) |
−0.934963 | + | 0.354747i | \(0.884567\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 11.9008 | 0.731058 | ||||||||
\(266\) | −9.88066 | − | 7.72997i | −0.605822 | − | 0.473955i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 3.75236 | + | 6.49929i | 0.229212 | + | 0.397007i | ||||
\(269\) | 0.685009 | 0.0417657 | 0.0208829 | − | 0.999782i | \(-0.493352\pi\) | ||||
0.0208829 | + | 0.999782i | \(0.493352\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −5.05126 | −0.306842 | −0.153421 | − | 0.988161i | \(-0.549029\pi\) | ||||
−0.153421 | + | 0.988161i | \(0.549029\pi\) | |||||||
\(272\) | 7.17592 | 0.435104 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −8.01122 | −0.483976 | ||||||||
\(275\) | 6.55090 | 0.395034 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −12.4497 | −0.748029 | −0.374015 | − | 0.927423i | \(-0.622019\pi\) | ||||
−0.374015 | + | 0.927423i | \(0.622019\pi\) | |||||||
\(278\) | −8.87582 | − | 15.3734i | −0.532337 | − | 0.922034i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −2.16529 | + | 0.873194i | −0.129401 | + | 0.0521834i | ||||
\(281\) | 23.5917 | 1.40736 | 0.703680 | − | 0.710517i | \(-0.251539\pi\) | ||||
0.703680 | + | 0.710517i | \(0.251539\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −10.5148 | − | 18.2121i | −0.625038 | − | 1.08260i | −0.988533 | − | 0.151002i | \(-0.951750\pi\) |
0.363495 | − | 0.931596i | \(-0.381583\pi\) | |||||||
\(284\) | −5.00985 | − | 8.67732i | −0.297280 | − | 0.514904i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −5.56162 | − | 0.613395i | −0.328865 | − | 0.0362708i | ||||
\(287\) | −12.6245 | − | 9.87660i | −0.745203 | − | 0.582997i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 34.4938 | 2.02905 | ||||||||
\(290\) | 6.83883 | 0.401590 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1.93284 | + | 3.34778i | −0.113111 | + | 0.195914i | ||||
\(293\) | 6.41251 | + | 11.1068i | 0.374623 | + | 0.648865i | 0.990270 | − | 0.139156i | \(-0.0444390\pi\) |
−0.615648 | + | 0.788021i | \(0.711106\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.32584 | − | 4.02848i | −0.135416 | − | 0.234547i | ||||
\(296\) | −0.330574 | −0.0192142 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −8.66161 | + | 15.0024i | −0.501754 | + | 0.869063i | ||||
\(299\) | −11.2974 | + | 15.3831i | −0.653347 | + | 0.889627i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 16.4879 | − | 6.64909i | 0.950349 | − | 0.383247i | ||||
\(302\) | 1.40927 | − | 2.44093i | 0.0810944 | − | 0.140460i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.37080 | + | 4.10635i | −0.135975 | + | 0.235515i | ||||
\(305\) | 12.6647 | 0.725177 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −20.4988 | −1.16993 | −0.584963 | − | 0.811060i | \(-0.698891\pi\) | ||||
−0.584963 | + | 0.811060i | \(0.698891\pi\) | |||||||
\(308\) | 3.80789 | − | 1.53560i | 0.216974 | − | 0.0874992i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −5.73430 | −0.325686 | ||||||||
\(311\) | −7.06023 | + | 12.2287i | −0.400349 | + | 0.693425i | −0.993768 | − | 0.111469i | \(-0.964444\pi\) |
0.593419 | + | 0.804894i | \(0.297778\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 14.5296 | + | 25.1661i | 0.821264 | + | 1.42247i | 0.904741 | + | 0.425961i | \(0.140064\pi\) |
−0.0834772 | + | 0.996510i | \(0.526603\pi\) | |||||||
\(314\) | −6.39822 | + | 11.0820i | −0.361072 | + | 0.625396i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 6.67928 | + | 11.5689i | 0.375739 | + | 0.650799i | ||||
\(317\) | 6.08027 | + | 10.5313i | 0.341502 | + | 0.591499i | 0.984712 | − | 0.174191i | \(-0.0557310\pi\) |
−0.643210 | + | 0.765690i | \(0.722398\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −12.0268 | −0.673372 | ||||||||
\(320\) | 0.441221 | + | 0.764218i | 0.0246650 | + | 0.0427211i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 1.95817 | − | 13.8677i | 0.109125 | − | 0.772814i | ||||
\(323\) | −17.0127 | + | 29.4669i | −0.946612 | + | 1.63958i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −6.11920 | − | 13.9358i | −0.339432 | − | 0.773019i | ||||
\(326\) | −5.34387 | + | 9.25586i | −0.295970 | + | 0.512635i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −3.02918 | + | 5.24669i | −0.167259 | + | 0.289700i | ||||
\(329\) | −4.79182 | + | 1.93239i | −0.264181 | + | 0.106536i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.96685 | + | 8.60284i | −0.273003 | + | 0.472855i | −0.969629 | − | 0.244579i | \(-0.921350\pi\) |
0.696626 | + | 0.717434i | \(0.254684\pi\) | |||||||
\(332\) | 10.5519 | 0.579109 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −9.90412 | + | 17.1544i | −0.541930 | + | 0.938649i | ||||
\(335\) | −3.31125 | + | 5.73525i | −0.180913 | + | 0.313350i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.38360 | −0.184316 | −0.0921582 | − | 0.995744i | \(-0.529377\pi\) | ||||
−0.0921582 | + | 0.995744i | \(0.529377\pi\) | |||||||
\(338\) | 3.89023 | + | 12.4043i | 0.211601 | + | 0.674704i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 3.16617 | + | 5.48396i | 0.171710 | + | 0.297410i | ||||
\(341\) | 10.0844 | 0.546100 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −7.56588 | + | 16.9044i | −0.408519 | + | 0.912750i | ||||
\(344\) | −3.35975 | − | 5.81927i | −0.181146 | − | 0.313754i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.869332 | − | 1.50573i | 0.0467356 | − | 0.0809484i | ||||
\(347\) | −22.2544 | −1.19468 | −0.597340 | − | 0.801988i | \(-0.703776\pi\) | ||||
−0.597340 | + | 0.801988i | \(0.703776\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −5.16027 | + | 8.93784i | −0.276223 | + | 0.478432i | −0.970443 | − | 0.241331i | \(-0.922416\pi\) |
0.694220 | + | 0.719763i | \(0.255749\pi\) | |||||||
\(350\) | 8.79642 | + | 6.88174i | 0.470188 | + | 0.367844i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.775934 | − | 1.34396i | −0.0413574 | − | 0.0716332i | ||||
\(353\) | −0.485103 | − | 0.840224i | −0.0258195 | − | 0.0447206i | 0.852827 | − | 0.522194i | \(-0.174886\pi\) |
−0.878646 | + | 0.477473i | \(0.841553\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 4.42091 | − | 7.65724i | 0.234637 | − | 0.406404i | ||||
\(356\) | −14.8167 | −0.785285 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −4.89644 | − | 8.48088i | −0.258785 | − | 0.448228i | ||||
\(359\) | 1.03017 | + | 1.78430i | 0.0543701 | + | 0.0941717i | 0.891929 | − | 0.452175i | \(-0.149352\pi\) |
−0.837559 | + | 0.546346i | \(0.816018\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −1.74142 | − | 3.01623i | −0.0916537 | − | 0.158749i | ||||
\(362\) | 11.5901 | 0.609162 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −6.82366 | − | 6.66615i | −0.357657 | − | 0.349401i | ||||
\(365\) | −3.41124 | −0.178552 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 4.63538 | + | 8.02871i | 0.241965 | + | 0.419095i | 0.961274 | − | 0.275595i | \(-0.0888749\pi\) |
−0.719309 | + | 0.694690i | \(0.755542\pi\) | |||||||
\(368\) | −5.29348 | −0.275942 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.145856 | − | 0.252631i | −0.00758271 | − | 0.0131336i | ||||
\(371\) | −28.1027 | − | 21.9857i | −1.45902 | − | 1.14144i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 3.76618 | − | 6.52322i | 0.195006 | − | 0.337760i | −0.751897 | − | 0.659281i | \(-0.770861\pi\) |
0.946902 | + | 0.321521i | \(0.104194\pi\) | |||||||
\(374\) | −5.56804 | − | 9.64413i | −0.287917 | − | 0.498686i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.976430 | + | 1.69123i | 0.0503555 | + | 0.0872184i | ||||
\(377\) | 11.2343 | + | 25.5848i | 0.578594 | + | 1.31768i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −8.94169 | + | 15.4875i | −0.459304 | + | 0.795537i | −0.998924 | − | 0.0463711i | \(-0.985234\pi\) |
0.539621 | + | 0.841908i | \(0.318568\pi\) | |||||||
\(380\) | −4.18420 | −0.214645 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0.631864 | − | 1.09442i | 0.0323290 | − | 0.0559954i | ||||
\(383\) | −9.09536 | + | 15.7536i | −0.464751 | + | 0.804972i | −0.999190 | − | 0.0402346i | \(-0.987189\pi\) |
0.534439 | + | 0.845207i | \(0.320523\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.85366 | + | 2.23251i | 0.145436 | + | 0.113779i | ||||
\(386\) | 9.49130 | + | 16.4394i | 0.483095 | + | 0.836745i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 5.79259 | + | 10.0331i | 0.294074 | + | 0.509352i | ||||
\(389\) | −8.54918 | + | 14.8076i | −0.433461 | + | 0.750776i | −0.997169 | − | 0.0751984i | \(-0.976041\pi\) |
0.563708 | + | 0.825974i | \(0.309374\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −37.9856 | −1.92101 | ||||||||
\(392\) | 6.72632 | + | 1.93822i | 0.339730 | + | 0.0978947i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 12.1786 | − | 21.0939i | 0.613548 | − | 1.06270i | ||||
\(395\) | −5.89408 | + | 10.2088i | −0.296563 | + | 0.513663i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −13.8385 | + | 23.9691i | −0.694536 | + | 1.20297i | 0.275800 | + | 0.961215i | \(0.411057\pi\) |
−0.970337 | + | 0.241757i | \(0.922276\pi\) | |||||||
\(398\) | −21.5059 | −1.07799 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.11065 | − | 3.65575i | 0.105532 | − | 0.182787i | ||||
\(401\) | 0.784039 | 0.0391531 | 0.0195765 | − | 0.999808i | \(-0.493768\pi\) | ||||
0.0195765 | + | 0.999808i | \(0.493768\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −9.41983 | − | 21.4526i | −0.469235 | − | 1.06863i | ||||
\(404\) | 3.91439 | + | 6.77993i | 0.194748 | + | 0.337314i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −16.1494 | − | 12.6342i | −0.801480 | − | 0.627025i | ||||
\(407\) | 0.256504 | + | 0.444277i | 0.0127144 | + | 0.0220220i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 25.9739 | 1.28433 | 0.642164 | − | 0.766567i | \(-0.278037\pi\) | ||||
0.642164 | + | 0.766567i | \(0.278037\pi\) | |||||||
\(410\) | −5.34616 | −0.264028 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.430172 | + | 0.745081i | 0.0211931 | + | 0.0367075i | ||||
\(413\) | −1.95000 | + | 13.8098i | −0.0959531 | + | 0.679534i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4.65571 | + | 8.06393i | 0.228540 | + | 0.395843i | ||||
\(416\) | −2.13422 | + | 2.90605i | −0.104639 | + | 0.142481i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 7.35835 | 0.359909 | ||||||||
\(419\) | −0.207579 | + | 0.359537i | −0.0101409 | + | 0.0175645i | −0.871051 | − | 0.491192i | \(-0.836561\pi\) |
0.860910 | + | 0.508757i | \(0.169895\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −8.45284 | −0.411966 | −0.205983 | − | 0.978556i | \(-0.566039\pi\) | ||||
−0.205983 | + | 0.978556i | \(0.566039\pi\) | |||||||
\(422\) | −3.56775 | + | 6.17953i | −0.173675 | + | 0.300815i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −6.74308 | + | 11.6794i | −0.327473 | + | 0.567200i | ||||
\(425\) | 15.1458 | − | 26.2334i | 0.734681 | − | 1.27250i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −29.9067 | − | 23.3970i | −1.44728 | − | 1.13226i | ||||
\(428\) | 8.14260 | 0.393587 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 2.96479 | − | 5.13517i | 0.142975 | − | 0.247640i | ||||
\(431\) | −12.3935 | − | 21.4662i | −0.596973 | − | 1.03399i | −0.993265 | − | 0.115864i | \(-0.963036\pi\) |
0.396292 | − | 0.918125i | \(-0.370297\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 18.5723 | + | 32.1682i | 0.892529 | + | 1.54591i | 0.836833 | + | 0.547458i | \(0.184405\pi\) |
0.0556964 | + | 0.998448i | \(0.482262\pi\) | |||||||
\(434\) | 13.5411 | + | 10.5937i | 0.649994 | + | 0.508512i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 4.73806 | − | 8.20656i | 0.226912 | − | 0.393023i | ||||
\(437\) | 12.5498 | − | 21.7369i | 0.600338 | − | 1.03982i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −8.75366 | −0.417790 | −0.208895 | − | 0.977938i | \(-0.566987\pi\) | ||||
−0.208895 | + | 0.977938i | \(0.566987\pi\) | |||||||
\(440\) | 0.684718 | − | 1.18597i | 0.0326426 | − | 0.0565387i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −15.3150 | + | 20.8536i | −0.728459 | + | 0.991903i | ||||
\(443\) | −1.48601 | − | 2.57384i | −0.0706023 | − | 0.122287i | 0.828563 | − | 0.559896i | \(-0.189159\pi\) |
−0.899165 | + | 0.437609i | \(0.855825\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −6.53746 | − | 11.3232i | −0.309905 | − | 0.536772i | ||||
\(446\) | 12.1673 | − | 21.0744i | 0.576140 | − | 0.997903i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.369922 | − | 2.61976i | 0.0174772 | − | 0.123772i | ||||
\(449\) | −2.95700 | − | 5.12167i | −0.139549 | − | 0.241707i | 0.787777 | − | 0.615961i | \(-0.211232\pi\) |
−0.927326 | + | 0.374254i | \(0.877899\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 9.40178 | 0.442713 | ||||||||
\(452\) | −5.71537 | − | 9.89931i | −0.268828 | − | 0.465624i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 9.56035 | 0.448690 | ||||||||
\(455\) | 2.08365 | − | 8.15602i | 0.0976829 | − | 0.382360i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −14.1933 | −0.663935 | −0.331968 | − | 0.943291i | \(-0.607712\pi\) | ||||
−0.331968 | + | 0.943291i | \(0.607712\pi\) | |||||||
\(458\) | 5.40570 | + | 9.36295i | 0.252592 | + | 0.437502i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −2.33559 | − | 4.04537i | −0.108898 | − | 0.188616i | ||||
\(461\) | −15.1395 | − | 26.2224i | −0.705117 | − | 1.22130i | −0.966649 | − | 0.256104i | \(-0.917561\pi\) |
0.261532 | − | 0.965195i | \(-0.415772\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −32.8167 | −1.52512 | −0.762561 | − | 0.646916i | \(-0.776059\pi\) | ||||
−0.762561 | + | 0.646916i | \(0.776059\pi\) | |||||||
\(464\) | −3.87494 | + | 6.71160i | −0.179890 | + | 0.311578i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −5.15806 | − | 8.93403i | −0.238943 | − | 0.413861i | ||||
\(467\) | 10.4247 | + | 18.0562i | 0.482399 | + | 0.835540i | 0.999796 | − | 0.0202058i | \(-0.00643214\pi\) |
−0.517397 | + | 0.855746i | \(0.673099\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 18.4147 | − | 7.42608i | 0.850310 | − | 0.342904i | ||||
\(470\) | −0.861644 | + | 1.49241i | −0.0397447 | + | 0.0688398i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 5.27138 | 0.242635 | ||||||||
\(473\) | −5.21390 | + | 9.03074i | −0.239735 | + | 0.415234i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 10.0079 | + | 17.3341i | 0.459192 | + | 0.795344i | ||||
\(476\) | 2.65453 | − | 18.7992i | 0.121670 | − | 0.861660i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 11.0866 | 0.507087 | ||||||||
\(479\) | −12.0950 | − | 20.9492i | −0.552637 | − | 0.957195i | −0.998083 | − | 0.0618862i | \(-0.980288\pi\) |
0.445447 | − | 0.895308i | \(-0.353045\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.705517 | − | 0.960664i | 0.0321688 | − | 0.0438025i | ||||
\(482\) | 18.6739 | 0.850574 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 4.29585 | − | 7.44063i | 0.195266 | − | 0.338211i | ||||
\(485\) | −5.11163 | + | 8.85361i | −0.232107 | + | 0.402022i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −40.3065 | −1.82646 | −0.913230 | − | 0.407444i | \(-0.866420\pi\) | ||||
−0.913230 | + | 0.407444i | \(0.866420\pi\) | |||||||
\(488\) | −7.17592 | + | 12.4291i | −0.324839 | + | 0.562637i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 1.48658 | + | 5.99555i | 0.0671566 | + | 0.270851i | ||||
\(491\) | 3.58602 | − | 6.21117i | 0.161835 | − | 0.280306i | −0.773692 | − | 0.633562i | \(-0.781592\pi\) |
0.935527 | + | 0.353256i | \(0.114925\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −27.8063 | + | 48.1619i | −1.25233 | + | 2.16910i | ||||
\(494\) | −6.87345 | − | 15.6535i | −0.309251 | − | 0.704285i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 3.24911 | − | 5.62762i | 0.145889 | − | 0.252688i | ||||
\(497\) | −24.5858 | + | 9.91470i | −1.10282 | + | 0.444735i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 8.24802 | + | 14.2860i | 0.369232 | + | 0.639528i | 0.989446 | − | 0.144904i | \(-0.0462875\pi\) |
−0.620214 | + | 0.784433i | \(0.712954\pi\) | |||||||
\(500\) | 8.13726 | 0.363910 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0.00354883 | + | 0.00614676i | 0.000158392 | + | 0.000274343i | ||||
\(503\) | −0.187093 | − | 0.324055i | −0.00834208 | − | 0.0144489i | 0.861824 | − | 0.507207i | \(-0.169322\pi\) |
−0.870166 | + | 0.492758i | \(0.835989\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3.45423 | + | 5.98290i | −0.153711 | + | 0.266236i | ||||
\(506\) | 4.10739 | + | 7.11421i | 0.182596 | + | 0.316265i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 3.02592 | − | 5.24105i | 0.134254 | − | 0.232534i | ||||
\(509\) | −5.26899 | −0.233544 | −0.116772 | − | 0.993159i | \(-0.537255\pi\) | ||||
−0.116772 | + | 0.993159i | \(0.537255\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 8.05538 | + | 6.30200i | 0.356349 | + | 0.278784i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 12.6759 | 0.559110 | ||||||||
\(515\) | −0.379603 | + | 0.657491i | −0.0167273 | + | 0.0289725i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.51529 | − | 2.62456i | 0.0666424 | − | 0.115428i | ||||
\(518\) | −0.122287 | + | 0.866025i | −0.00537296 | + | 0.0380510i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −3.16252 | − | 0.348796i | −0.138686 | − | 0.0152957i | ||||
\(521\) | −3.43343 | + | 5.94687i | −0.150421 | + | 0.260537i | −0.931382 | − | 0.364042i | \(-0.881396\pi\) |
0.780961 | + | 0.624580i | \(0.214730\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −2.18445 | −0.0955193 | −0.0477596 | − | 0.998859i | \(-0.515208\pi\) | ||||
−0.0477596 | + | 0.998859i | \(0.515208\pi\) | |||||||
\(524\) | 2.66045 | + | 4.60804i | 0.116222 | + | 0.201303i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2.59901 | + | 4.50161i | 0.113322 | + | 0.196280i | ||||
\(527\) | 23.3153 | − | 40.3833i | 1.01563 | − | 1.75913i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 5.02089 | 0.218299 | ||||||||
\(530\) | −11.9008 | −0.516936 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 9.88066 | + | 7.72997i | 0.428381 | + | 0.335137i | ||||
\(533\) | −8.78222 | − | 20.0005i | −0.380400 | − | 0.866319i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.59269 | + | 6.22272i | 0.155325 | + | 0.269032i | ||||
\(536\) | −3.75236 | − | 6.49929i | −0.162077 | − | 0.280726i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −0.685009 | −0.0295328 | ||||||||
\(539\) | −2.61430 | − | 10.5438i | −0.112606 | − | 0.454154i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −18.7629 | − | 32.4982i | −0.806679 | − | 1.39721i | −0.915152 | − | 0.403109i | \(-0.867929\pi\) |
0.108473 | − | 0.994099i | \(-0.465404\pi\) | |||||||
\(542\) | 5.05126 | 0.216970 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −7.17592 | −0.307665 | ||||||||
\(545\) | 8.36213 | 0.358194 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 26.8987 | 1.15011 | 0.575054 | − | 0.818116i | \(-0.304981\pi\) | ||||
0.575054 | + | 0.818116i | \(0.304981\pi\) | |||||||
\(548\) | 8.01122 | 0.342222 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −6.55090 | −0.279331 | ||||||||
\(551\) | −18.3735 | − | 31.8238i | −0.782736 | − | 1.35574i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 32.7785 | − | 13.2186i | 1.39388 | − | 0.562110i | ||||
\(554\) | 12.4497 | 0.528937 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 8.87582 | + | 15.3734i | 0.376419 | + | 0.651976i | ||||
\(557\) | 1.58336 | + | 2.74245i | 0.0670889 | + | 0.116201i | 0.897619 | − | 0.440773i | \(-0.145296\pi\) |
−0.830530 | + | 0.556974i | \(0.811962\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 24.0815 | + | 2.65597i | 1.01854 | + | 0.112335i | ||||
\(560\) | 2.16529 | − | 0.873194i | 0.0915001 | − | 0.0368992i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −23.5917 | −0.995154 | ||||||||
\(563\) | −30.8984 | −1.30221 | −0.651106 | − | 0.758987i | \(-0.725694\pi\) | ||||
−0.651106 | + | 0.758987i | \(0.725694\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 5.04349 | − | 8.73558i | 0.212181 | − | 0.367508i | ||||
\(566\) | 10.5148 | + | 18.2121i | 0.441969 | + | 0.765512i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 5.00985 | + | 8.67732i | 0.210209 | + | 0.364092i | ||||
\(569\) | −11.7828 | −0.493962 | −0.246981 | − | 0.969020i | \(-0.579439\pi\) | ||||
−0.246981 | + | 0.969020i | \(0.579439\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −11.9777 | + | 20.7459i | −0.501250 | + | 0.868190i | 0.498749 | + | 0.866746i | \(0.333793\pi\) |
−0.999999 | + | 0.00144398i | \(0.999540\pi\) | |||||||
\(572\) | 5.56162 | + | 0.613395i | 0.232543 | + | 0.0256473i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 12.6245 | + | 9.87660i | 0.526938 | + | 0.412241i | ||||
\(575\) | −11.1727 | + | 19.3516i | −0.465932 | + | 0.807018i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −13.2068 | + | 22.8748i | −0.549805 | + | 0.952291i | 0.448482 | + | 0.893792i | \(0.351965\pi\) |
−0.998287 | + | 0.0584990i | \(0.981369\pi\) | |||||||
\(578\) | −34.4938 | −1.43475 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −6.83883 | −0.283967 | ||||||||
\(581\) | 3.90337 | − | 27.6434i | 0.161939 | − | 1.14684i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 20.9287 | 0.866780 | ||||||||
\(584\) | 1.93284 | − | 3.34778i | 0.0799815 | − | 0.138532i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −6.41251 | − | 11.1068i | −0.264898 | − | 0.458817i | ||||
\(587\) | −15.3403 | + | 26.5702i | −0.633162 | + | 1.09667i | 0.353739 | + | 0.935344i | \(0.384910\pi\) |
−0.986901 | + | 0.161325i | \(0.948423\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 15.4060 | + | 26.6840i | 0.634793 | + | 1.09949i | ||||
\(590\) | 2.32584 | + | 4.02848i | 0.0957535 | + | 0.165850i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0.330574 | 0.0135865 | ||||||||
\(593\) | −6.14941 | − | 10.6511i | −0.252526 | − | 0.437388i | 0.711695 | − | 0.702489i | \(-0.247928\pi\) |
−0.964221 | + | 0.265101i | \(0.914595\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 15.5379 | − | 6.26597i | 0.636993 | − | 0.256880i | ||||
\(596\) | 8.66161 | − | 15.0024i | 0.354793 | − | 0.614520i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 11.2974 | − | 15.3831i | 0.461986 | − | 0.629062i | ||||
\(599\) | 3.22732 | − | 5.58989i | 0.131865 | − | 0.228397i | −0.792531 | − | 0.609832i | \(-0.791237\pi\) |
0.924395 | + | 0.381436i | \(0.124570\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1.05552 | + | 1.82822i | −0.0430556 | + | 0.0745745i | −0.886750 | − | 0.462249i | \(-0.847043\pi\) |
0.843695 | + | 0.536824i | \(0.180376\pi\) | |||||||
\(602\) | −16.4879 | + | 6.64909i | −0.671998 | + | 0.270997i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −1.40927 | + | 2.44093i | −0.0573424 | + | 0.0993199i | ||||
\(605\) | 7.58169 | 0.308239 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −12.5828 | + | 21.7941i | −0.510722 | + | 0.884596i | 0.489201 | + | 0.872171i | \(0.337288\pi\) |
−0.999923 | + | 0.0124247i | \(0.996045\pi\) | |||||||
\(608\) | 2.37080 | − | 4.10635i | 0.0961488 | − | 0.166535i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −12.6647 | −0.512778 | ||||||||
\(611\) | −6.99870 | − | 0.771892i | −0.283137 | − | 0.0312274i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 12.7273 | + | 22.0444i | 0.514052 | + | 0.890364i | 0.999867 | + | 0.0163023i | \(0.00518940\pi\) |
−0.485815 | + | 0.874061i | \(0.661477\pi\) | |||||||
\(614\) | 20.4988 | 0.827263 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −3.80789 | + | 1.53560i | −0.153424 | + | 0.0618713i | ||||
\(617\) | −16.4252 | − | 28.4493i | −0.661254 | − | 1.14532i | −0.980287 | − | 0.197581i | \(-0.936691\pi\) |
0.319033 | − | 0.947744i | \(-0.396642\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 0.180058 | − | 0.311869i | 0.00723713 | − | 0.0125351i | −0.862384 | − | 0.506254i | \(-0.831030\pi\) |
0.869621 | + | 0.493719i | \(0.164363\pi\) | |||||||
\(620\) | 5.73430 | 0.230295 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 7.06023 | − | 12.2287i | 0.283089 | − | 0.490325i | ||||
\(623\) | −5.48103 | + | 38.8163i | −0.219593 | + | 1.55514i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −6.96290 | − | 12.0601i | −0.278516 | − | 0.482404i | ||||
\(626\) | −14.5296 | − | 25.1661i | −0.580721 | − | 1.00584i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 6.39822 | − | 11.0820i | 0.255317 | − | 0.442222i | ||||
\(629\) | 2.37217 | 0.0945847 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −7.36478 | − | 12.7562i | −0.293187 | − | 0.507815i | 0.681374 | − | 0.731935i | \(-0.261383\pi\) |
−0.974562 | + | 0.224120i | \(0.928049\pi\) | |||||||
\(632\) | −6.67928 | − | 11.5689i | −0.265687 | − | 0.460184i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −6.08027 | − | 10.5313i | −0.241478 | − | 0.418253i | ||||
\(635\) | 5.34041 | 0.211928 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −19.9880 | + | 15.4104i | −0.791952 | + | 0.610583i | ||||
\(638\) | 12.0268 | 0.476146 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.441221 | − | 0.764218i | −0.0174408 | − | 0.0302084i | ||||
\(641\) | 48.3368 | 1.90919 | 0.954595 | − | 0.297906i | \(-0.0962883\pi\) | ||||
0.954595 | + | 0.297906i | \(0.0962883\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −0.0861739 | − | 0.149258i | −0.00339837 | − | 0.00588614i | 0.864321 | − | 0.502940i | \(-0.167748\pi\) |
−0.867720 | + | 0.497054i | \(0.834415\pi\) | |||||||
\(644\) | −1.95817 | + | 13.8677i | −0.0771628 | + | 0.546462i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 17.0127 | − | 29.4669i | 0.669355 | − | 1.15936i | ||||
\(647\) | 13.9682 | + | 24.1937i | 0.549147 | + | 0.951151i | 0.998333 | + | 0.0577129i | \(0.0183808\pi\) |
−0.449186 | + | 0.893438i | \(0.648286\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −4.09024 | − | 7.08451i | −0.160556 | − | 0.278091i | ||||
\(650\) | 6.11920 | + | 13.9358i | 0.240015 | + | 0.546607i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 5.34387 | − | 9.25586i | 0.209282 | − | 0.362487i | ||||
\(653\) | 41.8489 | 1.63767 | 0.818836 | − | 0.574027i | \(-0.194620\pi\) | ||||
0.818836 | + | 0.574027i | \(0.194620\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −2.34770 | + | 4.06633i | −0.0917322 | + | 0.158885i | ||||
\(656\) | 3.02918 | − | 5.24669i | 0.118270 | − | 0.204849i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 4.79182 | − | 1.93239i | 0.186804 | − | 0.0753326i | ||||
\(659\) | −3.26341 | − | 5.65240i | −0.127125 | − | 0.220186i | 0.795437 | − | 0.606036i | \(-0.207241\pi\) |
−0.922561 | + | 0.385850i | \(0.873908\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −0.526326 | − | 0.911623i | −0.0204717 | − | 0.0354580i | 0.855608 | − | 0.517624i | \(-0.173183\pi\) |
−0.876080 | + | 0.482166i | \(0.839850\pi\) | |||||||
\(662\) | 4.96685 | − | 8.60284i | 0.193042 | − | 0.334359i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −10.5519 | −0.409492 | ||||||||
\(665\) | −1.54783 | + | 10.9616i | −0.0600221 | + | 0.425073i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 20.5119 | − | 35.5277i | 0.794225 | − | 1.37564i | ||||
\(668\) | 9.90412 | − | 17.1544i | 0.383202 | − | 0.663725i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 3.31125 | − | 5.73525i | 0.127925 | − | 0.221572i | ||||
\(671\) | 22.2722 | 0.859808 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −13.1957 | + | 22.8556i | −0.508655 | + | 0.881017i | 0.491294 | + | 0.870994i | \(0.336524\pi\) |
−0.999950 | + | 0.0100234i | \(0.996809\pi\) | |||||||
\(674\) | 3.38360 | 0.130331 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −3.89023 | − | 12.4043i | −0.149624 | − | 0.477088i | ||||
\(677\) | 10.3481 | + | 17.9235i | 0.397711 | + | 0.688856i | 0.993443 | − | 0.114327i | \(-0.0364713\pi\) |
−0.595732 | + | 0.803183i | \(0.703138\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 28.4271 | − | 11.4638i | 1.09093 | − | 0.439939i | ||||
\(680\) | −3.16617 | − | 5.48396i | −0.121417 | − | 0.210300i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −10.0844 | −0.386151 | ||||||||
\(683\) | 36.9788 | 1.41495 | 0.707477 | − | 0.706736i | \(-0.249833\pi\) | ||||
0.707477 | + | 0.706736i | \(0.249833\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.53472 | + | 6.12232i | 0.135055 | + | 0.233922i | ||||
\(686\) | 7.56588 | − | 16.9044i | 0.288866 | − | 0.645412i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 3.35975 | + | 5.81927i | 0.128089 | + | 0.221857i | ||||
\(689\) | −19.5496 | − | 44.5220i | −0.744780 | − | 1.69615i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 3.51208 | 0.133606 | 0.0668029 | − | 0.997766i | \(-0.478720\pi\) | ||||
0.0668029 | + | 0.997766i | \(0.478720\pi\) | |||||||
\(692\) | −0.869332 | + | 1.50573i | −0.0330470 | + | 0.0572391i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 22.2544 | 0.844766 | ||||||||
\(695\) | −7.83241 | + | 13.5661i | −0.297100 | + | 0.514593i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 21.7372 | − | 37.6499i | 0.823353 | − | 1.42609i | ||||
\(698\) | 5.16027 | − | 8.93784i | 0.195319 | − | 0.338302i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −8.79642 | − | 6.88174i | −0.332473 | − | 0.260105i | ||||
\(701\) | 9.53390 | 0.360090 | 0.180045 | − | 0.983658i | \(-0.442376\pi\) | ||||
0.180045 | + | 0.983658i | \(0.442376\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.783726 | + | 1.35745i | −0.0295588 | + | 0.0511973i | ||||
\(704\) | 0.775934 | + | 1.34396i | 0.0292441 | + | 0.0506523i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0.485103 | + | 0.840224i | 0.0182571 | + | 0.0316222i | ||||
\(707\) | 19.2098 | − | 7.74674i | 0.722460 | − | 0.291346i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −9.56380 | + | 16.5650i | −0.359176 | + | 0.622111i | −0.987823 | − | 0.155579i | \(-0.950276\pi\) |
0.628647 | + | 0.777690i | \(0.283609\pi\) | |||||||
\(710\) | −4.42091 | + | 7.65724i | −0.165914 | + | 0.287371i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 14.8167 | 0.555281 | ||||||||
\(713\) | −17.1991 | + | 29.7897i | −0.644110 | + | 1.11563i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.98514 | + | 4.52093i | 0.0742399 | + | 0.169073i | ||||
\(716\) | 4.89644 | + | 8.48088i | 0.182988 | + | 0.316945i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −1.03017 | − | 1.78430i | −0.0384455 | − | 0.0665895i | ||||
\(719\) | −13.8837 | + | 24.0473i | −0.517775 | + | 0.896812i | 0.482012 | + | 0.876165i | \(0.339906\pi\) |
−0.999787 | + | 0.0206477i | \(0.993427\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2.11106 | − | 0.851328i | 0.0786202 | − | 0.0317051i | ||||
\(722\) | 1.74142 | + | 3.01623i | 0.0648089 | + | 0.112252i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −11.5901 | −0.430743 | ||||||||
\(725\) | 16.3573 | + | 28.3316i | 0.607494 | + | 1.05221i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 27.4082 | 1.01651 | 0.508257 | − | 0.861205i | \(-0.330290\pi\) | ||||
0.508257 | + | 0.861205i | \(0.330290\pi\) | |||||||
\(728\) | 6.82366 | + | 6.66615i | 0.252902 | + | 0.247064i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 3.41124 | 0.126256 | ||||||||
\(731\) | 24.1093 | + | 41.7586i | 0.891716 | + | 1.54450i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 9.70789 | + | 16.8146i | 0.358569 | + | 0.621060i | 0.987722 | − | 0.156222i | \(-0.0499314\pi\) |
−0.629153 | + | 0.777282i | \(0.716598\pi\) | |||||||
\(734\) | −4.63538 | − | 8.02871i | −0.171095 | − | 0.296345i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 5.29348 | 0.195120 | ||||||||
\(737\) | −5.82318 | + | 10.0860i | −0.214500 | + | 0.371524i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −7.58084 | − | 13.1304i | −0.278866 | − | 0.483010i | 0.692237 | − | 0.721670i | \(-0.256625\pi\) |
−0.971103 | + | 0.238660i | \(0.923292\pi\) | |||||||
\(740\) | 0.145856 | + | 0.252631i | 0.00536178 | + | 0.00928688i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 28.1027 | + | 21.9857i | 1.03168 | + | 0.807121i | ||||
\(743\) | 5.85184 | − | 10.1357i | 0.214683 | − | 0.371842i | −0.738491 | − | 0.674263i | \(-0.764461\pi\) |
0.953174 | + | 0.302421i | \(0.0977948\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 15.2868 | 0.560063 | ||||||||
\(746\) | −3.76618 | + | 6.52322i | −0.137890 | + | 0.238832i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 5.56804 | + | 9.64413i | 0.203588 | + | 0.352624i | ||||
\(749\) | 3.01213 | − | 21.3317i | 0.110061 | − | 0.779443i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 36.7832 | 1.34224 | 0.671119 | − | 0.741350i | \(-0.265814\pi\) | ||||
0.671119 | + | 0.741350i | \(0.265814\pi\) | |||||||
\(752\) | −0.976430 | − | 1.69123i | −0.0356067 | − | 0.0616727i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −11.2343 | − | 25.5848i | −0.409128 | − | 0.931743i | ||||
\(755\) | −2.48720 | −0.0905185 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0.469542 | − | 0.813271i | 0.0170658 | − | 0.0295589i | −0.857366 | − | 0.514707i | \(-0.827901\pi\) |
0.874432 | + | 0.485148i | \(0.161234\pi\) | |||||||
\(758\) | 8.94169 | − | 15.4875i | 0.324777 | − | 0.562530i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 4.18420 | 0.151777 | ||||||||
\(761\) | −2.83559 | + | 4.91139i | −0.102790 | + | 0.178038i | −0.912833 | − | 0.408333i | \(-0.866110\pi\) |
0.810043 | + | 0.586370i | \(0.199444\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −19.7465 | − | 15.4484i | −0.714872 | − | 0.559269i | ||||
\(764\) | −0.631864 | + | 1.09442i | −0.0228600 | + | 0.0395947i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 9.09536 | − | 15.7536i | 0.328629 | − | 0.569201i | ||||
\(767\) | −11.2503 | + | 15.3189i | −0.406224 | + | 0.553133i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 0.775934 | − | 1.34396i | 0.0279809 | − | 0.0484644i | −0.851696 | − | 0.524036i | \(-0.824426\pi\) |
0.879677 | + | 0.475572i | \(0.157759\pi\) | |||||||
\(770\) | −2.85366 | − | 2.23251i | −0.102839 | − | 0.0804542i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −9.49130 | − | 16.4394i | −0.341600 | − | 0.591668i | ||||
\(773\) | 29.3595 | 1.05599 | 0.527994 | − | 0.849248i | \(-0.322944\pi\) | ||||
0.527994 | + | 0.849248i | \(0.322944\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −13.7154 | − | 23.7558i | −0.492673 | − | 0.853335i | ||||
\(776\) | −5.79259 | − | 10.0331i | −0.207942 | − | 0.360166i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 8.54918 | − | 14.8076i | 0.306503 | − | 0.530879i | ||||
\(779\) | 14.3632 | + | 24.8778i | 0.514615 | + | 0.891338i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 7.77464 | − | 13.4661i | 0.278198 | − | 0.481854i | ||||
\(782\) | 37.9856 | 1.35836 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −6.72632 | − | 1.93822i | −0.240226 | − | 0.0692220i | ||||
\(785\) | 11.2921 | 0.403033 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −18.3264 | −0.653265 | −0.326632 | − | 0.945151i | \(-0.605914\pi\) | ||||
−0.326632 | + | 0.945151i | \(0.605914\pi\) | |||||||
\(788\) | −12.1786 | + | 21.0939i | −0.433844 | + | 0.751440i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 5.89408 | − | 10.2088i | 0.209702 | − | 0.363215i | ||||
\(791\) | −28.0481 | + | 11.3109i | −0.997275 | + | 0.402171i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −20.8045 | − | 47.3799i | −0.738788 | − | 1.68251i | ||||
\(794\) | 13.8385 | − | 23.9691i | 0.491111 | − | 0.850630i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 21.5059 | 0.762255 | ||||||||
\(797\) | −6.67504 | − | 11.5615i | −0.236442 | − | 0.409529i | 0.723249 | − | 0.690588i | \(-0.242648\pi\) |
−0.959691 | + | 0.281058i | \(0.909315\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −7.00678 | − | 12.1361i | −0.247882 | − | 0.429345i | ||||
\(800\) | −2.11065 | + | 3.65575i | −0.0746227 | + | 0.129250i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −0.784039 | −0.0276854 | ||||||||
\(803\) | −5.99903 | −0.211701 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −11.4619 | + | 4.62223i | −0.403979 | + | 0.162912i | ||||
\(806\) | 9.41983 | + | 21.4526i | 0.331799 | + | 0.755636i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −3.91439 | − | 6.77993i | −0.137708 | − | 0.238517i | ||||
\(809\) | −16.1928 | − | 28.0467i | −0.569307 | − | 0.986069i | −0.996635 | − | 0.0819722i | \(-0.973878\pi\) |
0.427327 | − | 0.904097i | \(-0.359455\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −11.1640 | −0.392022 | −0.196011 | − | 0.980602i | \(-0.562799\pi\) | ||||
−0.196011 | + | 0.980602i | \(0.562799\pi\) | |||||||
\(812\) | 16.1494 | + | 12.6342i | 0.566732 | + | 0.443373i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −0.256504 | − | 0.444277i | −0.00899045 | − | 0.0155719i | ||||
\(815\) | 9.43132 | 0.330365 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −31.8613 | −1.11468 | ||||||||
\(818\) | −25.9739 | −0.908157 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 5.34616 | 0.186696 | ||||||||
\(821\) | 31.7025 | 1.10643 | 0.553213 | − | 0.833040i | \(-0.313402\pi\) | ||||
0.553213 | + | 0.833040i | \(0.313402\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 52.5002 | 1.83004 | 0.915022 | − | 0.403405i | \(-0.132173\pi\) | ||||
0.915022 | + | 0.403405i | \(0.132173\pi\) | |||||||
\(824\) | −0.430172 | − | 0.745081i | −0.0149858 | − | 0.0259561i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.95000 | − | 13.8098i | 0.0678491 | − | 0.480503i | ||||
\(827\) | −33.4939 | −1.16470 | −0.582348 | − | 0.812939i | \(-0.697866\pi\) | ||||
−0.582348 | + | 0.812939i | \(0.697866\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 19.0624 | + | 33.0170i | 0.662064 | + | 1.14673i | 0.980072 | + | 0.198641i | \(0.0636528\pi\) |
−0.318008 | + | 0.948088i | \(0.603014\pi\) | |||||||
\(830\) | −4.65571 | − | 8.06393i | −0.161602 | − | 0.279903i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.13422 | − | 2.90605i | 0.0739907 | − | 0.100749i | ||||
\(833\) | −48.2675 | − | 13.9085i | −1.67237 | − | 0.481900i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 17.4796 | 0.604908 | ||||||||
\(836\) | −7.35835 | −0.254494 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0.207579 | − | 0.359537i | 0.00717069 | − | 0.0124200i | ||||
\(839\) | −12.6246 | − | 21.8665i | −0.435851 | − | 0.754916i | 0.561514 | − | 0.827467i | \(-0.310219\pi\) |
−0.997365 | + | 0.0725514i | \(0.976886\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −15.5304 | − | 26.8994i | −0.535530 | − | 0.927565i | ||||
\(842\) | 8.45284 | 0.291304 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 3.56775 | − | 6.17953i | 0.122807 | − | 0.212708i | ||||
\(845\) | 7.76311 | − | 8.44602i | 0.267059 | − | 0.290552i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −17.9036 | − | 14.0066i | −0.615174 | − | 0.481271i | ||||
\(848\) | 6.74308 | − | 11.6794i | 0.231558 | − | 0.401071i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −15.1458 | + | 26.2334i | −0.519498 | + | 0.899797i | ||||
\(851\) | −1.74989 | −0.0599853 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 30.1001 | 1.03061 | 0.515304 | − | 0.857007i | \(-0.327679\pi\) | ||||
0.515304 | + | 0.857007i | \(0.327679\pi\) | |||||||
\(854\) | 29.9067 | + | 23.3970i | 1.02338 | + | 0.800628i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −8.14260 | −0.278308 | ||||||||
\(857\) | 11.8157 | − | 20.4655i | 0.403618 | − | 0.699087i | −0.590541 | − | 0.807007i | \(-0.701086\pi\) |
0.994160 | + | 0.107920i | \(0.0344191\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −17.7282 | − | 30.7061i | −0.604878 | − | 1.04768i | −0.992071 | − | 0.125680i | \(-0.959889\pi\) |
0.387193 | − | 0.921999i | \(-0.373445\pi\) | |||||||
\(860\) | −2.96479 | + | 5.13517i | −0.101099 | + | 0.175108i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 12.3935 | + | 21.4662i | 0.422124 | + | 0.731140i | ||||
\(863\) | −0.0283138 | − | 0.0490410i | −0.000963813 | − | 0.00166937i | 0.865543 | − | 0.500834i | \(-0.166973\pi\) |
−0.866507 | + | 0.499165i | \(0.833640\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1.53427 | −0.0521668 | ||||||||
\(866\) | −18.5723 | − | 32.1682i | −0.631114 | − | 1.09312i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −13.5411 | − | 10.5937i | −0.459615 | − | 0.359573i | ||||
\(869\) | −10.3654 | + | 17.9533i | −0.351621 | + | 0.609025i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 26.8956 | + | 2.96633i | 0.911323 | + | 0.100510i | ||||
\(872\) | −4.73806 | + | 8.20656i | −0.160451 | + | 0.277909i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −12.5498 | + | 21.7369i | −0.424503 | + | 0.735261i | ||||
\(875\) | 3.01015 | − | 21.3177i | 0.101762 | − | 0.720670i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −17.0082 | + | 29.4590i | −0.574324 | + | 0.994759i | 0.421790 | + | 0.906693i | \(0.361402\pi\) |
−0.996115 | + | 0.0880657i | \(0.971931\pi\) | |||||||
\(878\) | 8.75366 | 0.295422 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.684718 | + | 1.18597i | −0.0230818 | + | 0.0399789i | ||||
\(881\) | −19.0164 | + | 32.9374i | −0.640680 | + | 1.10969i | 0.344601 | + | 0.938749i | \(0.388014\pi\) |
−0.985281 | + | 0.170941i | \(0.945319\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 22.6536 | 0.762356 | 0.381178 | − | 0.924502i | \(-0.375519\pi\) | ||||
0.381178 | + | 0.924502i | \(0.375519\pi\) | |||||||
\(884\) | 15.3150 | − | 20.8536i | 0.515098 | − | 0.701381i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 1.48601 | + | 2.57384i | 0.0499234 | + | 0.0864698i | ||||
\(887\) | −21.3076 | −0.715441 | −0.357720 | − | 0.933829i | \(-0.616446\pi\) | ||||
−0.357720 | + | 0.933829i | \(0.616446\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −12.6110 | − | 9.86598i | −0.422958 | − | 0.330894i | ||||
\(890\) | 6.53746 | + | 11.3232i | 0.219136 | + | 0.379555i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −12.1673 | + | 21.0744i | −0.407392 | + | 0.705624i | ||||
\(893\) | 9.25970 | 0.309864 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −4.32082 | + | 7.48389i | −0.144429 | + | 0.250159i | ||||
\(896\) | −0.369922 | + | 2.61976i | −0.0123582 | + | 0.0875201i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 2.95700 | + | 5.12167i | 0.0986764 | + | 0.170912i | ||||
\(899\) | 25.1802 | + | 43.6134i | 0.839807 | + | 1.45459i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 48.3878 | − | 83.8101i | 1.61203 | − | 2.79212i | ||||
\(902\) | −9.40178 | −0.313045 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 5.71537 | + | 9.89931i | 0.190090 | + | 0.329246i | ||||
\(905\) | −5.11380 | − | 8.85736i | −0.169989 | − | 0.294429i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −26.7022 | − | 46.2496i | −0.886632 | − | 1.53569i | −0.843832 | − | 0.536608i | \(-0.819705\pi\) |
−0.0428006 | − | 0.999084i | \(-0.513628\pi\) | |||||||
\(908\) | −9.56035 | −0.317271 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −2.08365 | + | 8.15602i | −0.0690722 | + | 0.270369i | ||||
\(911\) | −5.96942 | −0.197776 | −0.0988878 | − | 0.995099i | \(-0.531528\pi\) | ||||
−0.0988878 | + | 0.995099i | \(0.531528\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 8.18756 | + | 14.1813i | 0.270969 | + | 0.469331i | ||||
\(914\) | 14.1933 | 0.469473 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −5.40570 | − | 9.36295i | −0.178609 | − | 0.309360i | ||||
\(917\) | 13.0561 | − | 5.26514i | 0.431152 | − | 0.173870i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 13.4203 | − | 23.2446i | 0.442695 | − | 0.766770i | −0.555194 | − | 0.831721i | \(-0.687356\pi\) |
0.997888 | + | 0.0649513i | \(0.0206892\pi\) | |||||||
\(920\) | 2.33559 | + | 4.04537i | 0.0770023 | + | 0.133372i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 15.1395 | + | 26.2224i | 0.498593 | + | 0.863589i | ||||
\(923\) | −35.9088 | − | 3.96041i | −1.18195 | − | 0.130358i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.697725 | − | 1.20850i | 0.0229411 | − | 0.0397351i | ||||
\(926\) | 32.8167 | 1.07842 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 3.87494 | − | 6.71160i | 0.127201 | − | 0.220319i | ||||
\(929\) | −4.10661 | + | 7.11286i | −0.134734 | + | 0.233365i | −0.925496 | − | 0.378758i | \(-0.876351\pi\) |
0.790762 | + | 0.612124i | \(0.209685\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 23.9058 | − | 23.0255i | 0.783480 | − | 0.754630i | ||||
\(932\) | 5.15806 | + | 8.93403i | 0.168958 | + | 0.292644i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −10.4247 | − | 18.0562i | −0.341108 | − | 0.590816i | ||||
\(935\) | −4.91348 | + | 8.51039i | −0.160688 | + | 0.278320i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −22.5249 | −0.735855 | −0.367927 | − | 0.929854i | \(-0.619933\pi\) | ||||
−0.367927 | + | 0.929854i | \(0.619933\pi\) | |||||||
\(938\) | −18.4147 | + | 7.42608i | −0.601260 | + | 0.242470i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.861644 | − | 1.49241i | 0.0281037 | − | 0.0486771i | ||||
\(941\) | 7.98410 | − | 13.8289i | 0.260274 | − | 0.450808i | −0.706040 | − | 0.708172i | \(-0.749520\pi\) |
0.966315 | + | 0.257363i | \(0.0828537\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −16.0349 | + | 27.7733i | −0.522168 | + | 0.904422i | ||||
\(944\) | −5.27138 | −0.171569 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 5.21390 | − | 9.03074i | 0.169518 | − | 0.293615i | ||||
\(947\) | 1.35007 | 0.0438715 | 0.0219358 | − | 0.999759i | \(-0.493017\pi\) | ||||
0.0219358 | + | 0.999759i | \(0.493017\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 5.60370 | + | 12.7618i | 0.181904 | + | 0.414266i | ||||
\(950\) | −10.0079 | − | 17.3341i | −0.324698 | − | 0.562393i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −2.65453 | + | 18.7992i | −0.0860338 | + | 0.609286i | ||||
\(953\) | 21.1684 | + | 36.6647i | 0.685711 | + | 1.18769i | 0.973213 | + | 0.229906i | \(0.0738420\pi\) |
−0.287502 | + | 0.957780i | \(0.592825\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1.11517 | −0.0360860 | ||||||||
\(956\) | −11.0866 | −0.358565 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 12.0950 | + | 20.9492i | 0.390773 | + | 0.676839i | ||||
\(959\) | 2.96353 | − | 20.9875i | 0.0956973 | − | 0.677722i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −5.61340 | − | 9.72269i | −0.181077 | − | 0.313635i | ||||
\(962\) | −0.705517 | + | 0.960664i | −0.0227468 | + | 0.0309730i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −18.6739 | −0.601447 | ||||||||
\(965\) | 8.37553 | − | 14.5068i | 0.269618 | − | 0.466992i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −24.2814 | −0.780838 | −0.390419 | − | 0.920637i | \(-0.627670\pi\) | ||||
−0.390419 | + | 0.920637i | \(0.627670\pi\) | |||||||
\(968\) | −4.29585 | + | 7.44063i | −0.138074 | + | 0.239151i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 5.11163 | − | 8.85361i | 0.164125 | − | 0.284272i | ||||
\(971\) | −12.3692 | + | 21.4241i | −0.396946 | + | 0.687531i | −0.993347 | − | 0.115155i | \(-0.963263\pi\) |
0.596401 | + | 0.802686i | \(0.296597\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 43.5580 | − | 17.5656i | 1.39640 | − | 0.563127i | ||||
\(974\) | 40.3065 | 1.29150 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 7.17592 | − | 12.4291i | 0.229696 | − | 0.397844i | ||||
\(977\) | −2.83780 | − | 4.91521i | −0.0907892 | − | 0.157251i | 0.817054 | − | 0.576561i | \(-0.195606\pi\) |
−0.907843 | + | 0.419309i | \(0.862272\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −11.4968 | − | 19.9131i | −0.367440 | − | 0.636424i | ||||
\(980\) | −1.48658 | − | 5.99555i | −0.0474869 | − | 0.191521i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −3.58602 | + | 6.21117i | −0.114435 | + | 0.198207i | ||||
\(983\) | 14.6863 | − | 25.4374i | 0.468419 | − | 0.811326i | −0.530929 | − | 0.847416i | \(-0.678157\pi\) |
0.999349 | + | 0.0360900i | \(0.0114903\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −21.4938 | −0.684850 | ||||||||
\(986\) | 27.8063 | − | 48.1619i | 0.885532 | − | 1.53379i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 6.87345 | + | 15.6535i | 0.218674 | + | 0.498005i | ||||
\(989\) | −17.7848 | − | 30.8041i | −0.565523 | − | 0.979515i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −2.80304 | − | 4.85500i | −0.0890414 | − | 0.154224i | 0.818065 | − | 0.575126i | \(-0.195047\pi\) |
−0.907106 | + | 0.420902i | \(0.861714\pi\) | |||||||
\(992\) | −3.24911 | + | 5.62762i | −0.103159 | + | 0.178677i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 24.5858 | − | 9.91470i | 0.779814 | − | 0.314475i | ||||
\(995\) | 9.48885 | + | 16.4352i | 0.300817 | + | 0.521030i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 52.0689 | 1.64904 | 0.824520 | − | 0.565833i | \(-0.191445\pi\) | ||||
0.824520 | + | 0.565833i | \(0.191445\pi\) | |||||||
\(998\) | −8.24802 | − | 14.2860i | −0.261086 | − | 0.452215i | ||||
\(999\) | 0 | 0 |
(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 | 1638.2.m.h.1621.3 | 8 | ||
3.2 | odd | 2 | 546.2.j.c.529.2 | yes | 8 | ||
7.2 | even | 3 | 1638.2.p.h.919.3 | 8 | |||
13.3 | even | 3 | 1638.2.p.h.991.3 | 8 | |||
21.2 | odd | 6 | 546.2.k.c.373.2 | yes | 8 | ||
39.29 | odd | 6 | 546.2.k.c.445.2 | yes | 8 | ||
91.16 | even | 3 | inner | 1638.2.m.h.289.3 | 8 | ||
273.107 | odd | 6 | 546.2.j.c.289.2 | ✓ | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.j.c.289.2 | ✓ | 8 | 273.107 | odd | 6 | ||
546.2.j.c.529.2 | yes | 8 | 3.2 | odd | 2 | ||
546.2.k.c.373.2 | yes | 8 | 21.2 | odd | 6 | ||
546.2.k.c.445.2 | yes | 8 | 39.29 | odd | 6 | ||
1638.2.m.h.289.3 | 8 | 91.16 | even | 3 | inner | ||
1638.2.m.h.1621.3 | 8 | 1.1 | even | 1 | trivial | ||
1638.2.p.h.919.3 | 8 | 7.2 | even | 3 | |||
1638.2.p.h.991.3 | 8 | 13.3 | even | 3 |