Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1386,2,Mod(703,1386)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1386, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 1, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1386.703");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1386 = 2 \cdot 3^{2} \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1386.bk (of order \(6\), 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: | \(11.0672657201\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 703.7 | ||
Character | \(\chi\) | \(=\) | 1386.703 |
Dual form | 1386.2.bk.d.901.7 |
$q$-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 \(\left(\mathbb{Z}/1386\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(1135\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | + | 0.500000i | −0.612372 | + | 0.353553i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | −2.53014 | + | 1.46078i | −1.13151 | + | 0.653280i | −0.944315 | − | 0.329042i | \(-0.893274\pi\) |
−0.187199 | + | 0.982322i | \(0.559941\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.00583 | − | 1.72530i | 0.758133 | − | 0.652100i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.46078 | − | 2.53014i | 0.461939 | − | 0.800101i | ||||
\(11\) | −0.608616 | − | 3.26030i | −0.183505 | − | 0.983019i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.09010 | 0.302340 | 0.151170 | − | 0.988508i | \(-0.451696\pi\) | ||||
0.151170 | + | 0.988508i | \(0.451696\pi\) | |||||||
\(14\) | −0.874452 | + | 2.49706i | −0.233707 | + | 0.667369i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −2.00379 | + | 3.47067i | −0.485991 | + | 0.841760i | −0.999870 | − | 0.0161018i | \(-0.994874\pi\) |
0.513880 | + | 0.857862i | \(0.328208\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.32709 | + | 5.76270i | 0.763288 | + | 1.32205i | 0.941147 | + | 0.337997i | \(0.109749\pi\) |
−0.177859 | + | 0.984056i | \(0.556917\pi\) | |||||||
\(20\) | 2.92156i | 0.653280i | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.15723 | + | 2.51920i | 0.459923 | + | 0.537095i | ||||
\(23\) | −0.874452 | − | 1.51460i | −0.182336 | − | 0.315815i | 0.760340 | − | 0.649526i | \(-0.225032\pi\) |
−0.942676 | + | 0.333711i | \(0.891699\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.76775 | − | 3.06183i | 0.353550 | − | 0.612366i | ||||
\(26\) | −0.944057 | + | 0.545052i | −0.185145 | + | 0.106893i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.491235 | − | 2.59975i | −0.0928346 | − | 0.491306i | ||||
\(29\) | − | 6.40584i | − | 1.18953i | −0.803898 | − | 0.594767i | \(-0.797244\pi\) | ||
0.803898 | − | 0.594767i | \(-0.202756\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.56307 | − | 4.36654i | −1.35837 | − | 0.784253i | −0.368963 | − | 0.929444i | \(-0.620287\pi\) |
−0.989404 | + | 0.145191i | \(0.953620\pi\) | |||||||
\(32\) | 0.866025 | + | 0.500000i | 0.153093 | + | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 4.00758i | − | 0.687294i | ||||||
\(35\) | −2.55476 | + | 7.29532i | −0.431834 | + | 1.23313i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.36015 | − | 9.28405i | −0.881203 | − | 1.52629i | −0.850005 | − | 0.526775i | \(-0.823401\pi\) |
−0.0311981 | − | 0.999513i | \(-0.509932\pi\) | |||||||
\(38\) | −5.76270 | − | 3.32709i | −0.934833 | − | 0.539726i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.46078 | − | 2.53014i | −0.230969 | − | 0.400051i | ||||
\(41\) | 4.63887 | 0.724469 | 0.362235 | − | 0.932087i | \(-0.382014\pi\) | ||||
0.362235 | + | 0.932087i | \(0.382014\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.44860i | 0.220909i | 0.993881 | + | 0.110454i | \(0.0352306\pi\) | ||||
−0.993881 | + | 0.110454i | \(0.964769\pi\) | |||||||
\(44\) | −3.12781 | − | 1.10308i | −0.471536 | − | 0.166295i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.51460 | + | 0.874452i | 0.223315 | + | 0.128931i | ||||
\(47\) | 1.67930 | − | 0.969544i | 0.244951 | − | 0.141423i | −0.372499 | − | 0.928033i | \(-0.621499\pi\) |
0.617450 | + | 0.786610i | \(0.288166\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.04671 | − | 6.92130i | 0.149530 | − | 0.988757i | ||||
\(50\) | 3.53550i | 0.499995i | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.545052 | − | 0.944057i | 0.0755851 | − | 0.130917i | ||||
\(53\) | 3.32405 | − | 5.75742i | 0.456593 | − | 0.790842i | −0.542185 | − | 0.840259i | \(-0.682403\pi\) |
0.998778 | + | 0.0494169i | \(0.0157363\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 6.30247 | + | 7.35998i | 0.849825 | + | 0.992420i | ||||
\(56\) | 1.72530 | + | 2.00583i | 0.230552 | + | 0.268040i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.20292 | + | 5.54762i | 0.420564 | + | 0.728438i | ||||
\(59\) | −6.85519 | − | 3.95784i | −0.892469 | − | 0.515267i | −0.0177199 | − | 0.999843i | \(-0.505641\pi\) |
−0.874749 | + | 0.484576i | \(0.838974\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.37508 | + | 2.38171i | 0.176061 | + | 0.304947i | 0.940528 | − | 0.339716i | \(-0.110331\pi\) |
−0.764467 | + | 0.644663i | \(0.776998\pi\) | |||||||
\(62\) | 8.73308 | 1.10910 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −2.75812 | + | 1.59240i | −0.342102 | + | 0.197513i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.70292 | + | 2.94954i | −0.208045 | + | 0.360344i | −0.951099 | − | 0.308888i | \(-0.900043\pi\) |
0.743054 | + | 0.669232i | \(0.233377\pi\) | |||||||
\(68\) | 2.00379 | + | 3.47067i | 0.242995 | + | 0.420880i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.43517 | − | 7.59531i | −0.171536 | − | 0.907813i | ||||
\(71\) | 13.1351 | 1.55885 | 0.779424 | − | 0.626497i | \(-0.215512\pi\) | ||||
0.779424 | + | 0.626497i | \(0.215512\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.01166 | − | 6.94840i | 0.469529 | − | 0.813249i | −0.529864 | − | 0.848083i | \(-0.677757\pi\) |
0.999393 | + | 0.0348341i | \(0.0110903\pi\) | |||||||
\(74\) | 9.28405 | + | 5.36015i | 1.07925 | + | 0.623105i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 6.65419 | 0.763288 | ||||||||
\(77\) | −6.84577 | − | 5.48958i | −0.780148 | − | 0.625595i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 7.41153 | − | 4.27905i | 0.833862 | − | 0.481430i | −0.0213112 | − | 0.999773i | \(-0.506784\pi\) |
0.855173 | + | 0.518342i | \(0.173451\pi\) | |||||||
\(80\) | 2.53014 | + | 1.46078i | 0.282879 | + | 0.163320i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.01738 | + | 2.31943i | −0.443645 | + | 0.256139i | ||||
\(83\) | 8.82088 | 0.968218 | 0.484109 | − | 0.875008i | \(-0.339144\pi\) | ||||
0.484109 | + | 0.875008i | \(0.339144\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − | 11.7084i | − | 1.26995i | ||||||
\(86\) | −0.724298 | − | 1.25452i | −0.0781031 | − | 0.135279i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.26030 | − | 0.608616i | 0.347550 | − | 0.0648787i | ||||
\(89\) | 6.94840 | − | 4.01166i | 0.736529 | − | 0.425235i | −0.0842770 | − | 0.996442i | \(-0.526858\pi\) |
0.820806 | + | 0.571207i | \(0.193525\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.18656 | − | 1.88075i | 0.229214 | − | 0.197156i | ||||
\(92\) | −1.74890 | −0.182336 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.969544 | + | 1.67930i | −0.100001 | + | 0.173206i | ||||
\(95\) | −16.8360 | − | 9.72030i | −1.72734 | − | 0.997281i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 12.9139i | − | 1.31121i | −0.755104 | − | 0.655605i | \(-0.772414\pi\) | ||
0.755104 | − | 0.655605i | \(-0.227586\pi\) | |||||||
\(98\) | 2.55417 | + | 6.51738i | 0.258010 | + | 0.658354i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.76775 | − | 3.06183i | −0.176775 | − | 0.306183i | ||||
\(101\) | 4.55855 | − | 7.89564i | 0.453593 | − | 0.785646i | −0.545013 | − | 0.838427i | \(-0.683475\pi\) |
0.998606 | + | 0.0527815i | \(0.0168087\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.09138 | − | 0.630108i | 0.107537 | − | 0.0620864i | −0.445267 | − | 0.895398i | \(-0.646891\pi\) |
0.552804 | + | 0.833311i | \(0.313558\pi\) | |||||||
\(104\) | 1.09010i | 0.106893i | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 6.64809i | 0.645720i | ||||||||
\(107\) | −13.2910 | + | 7.67359i | −1.28489 | + | 0.741834i | −0.977739 | − | 0.209826i | \(-0.932710\pi\) |
−0.307155 | + | 0.951660i | \(0.599377\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.38959 | − | 4.26638i | −0.707794 | − | 0.408645i | 0.102449 | − | 0.994738i | \(-0.467332\pi\) |
−0.810244 | + | 0.586093i | \(0.800665\pi\) | |||||||
\(110\) | −9.13809 | − | 3.22270i | −0.871283 | − | 0.307272i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.49706 | − | 0.874452i | −0.235950 | − | 0.0826280i | ||||
\(113\) | 3.77623 | 0.355238 | 0.177619 | − | 0.984099i | \(-0.443161\pi\) | ||||
0.177619 | + | 0.984099i | \(0.443161\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.42498 | + | 2.55476i | 0.412631 | + | 0.238233i | ||||
\(116\) | −5.54762 | − | 3.20292i | −0.515083 | − | 0.297384i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 7.91569 | 0.728698 | ||||||||
\(119\) | 1.96866 | + | 10.4187i | 0.180467 | + | 0.955081i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.2592 | + | 3.96855i | −0.932652 | + | 0.360777i | ||||
\(122\) | −2.38171 | − | 1.37508i | −0.215630 | − | 0.124494i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −7.56307 | + | 4.36654i | −0.679183 | + | 0.392127i | ||||
\(125\) | − | 4.27863i | − | 0.382692i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 11.8004i | − | 1.04711i | −0.851991 | − | 0.523557i | \(-0.824605\pi\) | ||
0.851991 | − | 0.523557i | \(-0.175395\pi\) | |||||||
\(128\) | 0.866025 | − | 0.500000i | 0.0765466 | − | 0.0441942i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.59240 | − | 2.75812i | 0.139663 | − | 0.241903i | ||||
\(131\) | −9.47606 | − | 16.4130i | −0.827927 | − | 1.43401i | −0.899661 | − | 0.436589i | \(-0.856187\pi\) |
0.0717339 | − | 0.997424i | \(-0.477147\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 16.6159 | + | 5.81877i | 1.44078 | + | 0.504551i | ||||
\(134\) | − | 3.40584i | − | 0.294220i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.47067 | − | 2.00379i | −0.297607 | − | 0.171824i | ||||
\(137\) | −6.62620 | + | 11.4769i | −0.566115 | + | 0.980540i | 0.430830 | + | 0.902433i | \(0.358221\pi\) |
−0.996945 | + | 0.0781066i | \(0.975113\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.77601 | 0.235458 | 0.117729 | − | 0.993046i | \(-0.462439\pi\) | ||||
0.117729 | + | 0.993046i | \(0.462439\pi\) | |||||||
\(140\) | 5.04055 | + | 5.86015i | 0.426004 | + | 0.495273i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −11.3753 | + | 6.56754i | −0.954595 | + | 0.551136i | ||||
\(143\) | −0.663454 | − | 3.55407i | −0.0554808 | − | 0.297206i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 9.35751 | + | 16.2077i | 0.777099 | + | 1.34597i | ||||
\(146\) | 8.02332i | 0.664015i | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −10.7203 | −0.881203 | ||||||||
\(149\) | 11.9436 | − | 6.89564i | 0.978458 | − | 0.564913i | 0.0766540 | − | 0.997058i | \(-0.475576\pi\) |
0.901804 | + | 0.432145i | \(0.142243\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 7.55104 | + | 4.35960i | 0.614495 | + | 0.354779i | 0.774723 | − | 0.632301i | \(-0.217889\pi\) |
−0.160228 | + | 0.987080i | \(0.551223\pi\) | |||||||
\(152\) | −5.76270 | + | 3.32709i | −0.467416 | + | 0.269863i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 8.67340 | + | 1.33123i | 0.698922 | + | 0.107273i | ||||
\(155\) | 25.5142 | 2.04935 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 13.0804 | + | 7.55200i | 1.04393 | + | 0.602715i | 0.920945 | − | 0.389693i | \(-0.127419\pi\) |
0.122988 | + | 0.992408i | \(0.460752\pi\) | |||||||
\(158\) | −4.27905 | + | 7.41153i | −0.340423 | + | 0.589629i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.92156 | −0.230969 | ||||||||
\(161\) | −4.36713 | − | 1.52933i | −0.344178 | − | 0.120528i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −11.6098 | − | 20.1087i | −0.909348 | − | 1.57504i | −0.814972 | − | 0.579500i | \(-0.803248\pi\) |
−0.0943757 | − | 0.995537i | \(-0.530085\pi\) | |||||||
\(164\) | 2.31943 | − | 4.01738i | 0.181117 | − | 0.313704i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −7.63911 | + | 4.41044i | −0.592910 | + | 0.342317i | ||||
\(167\) | −1.26022 | −0.0975185 | −0.0487592 | − | 0.998811i | \(-0.515527\pi\) | ||||
−0.0487592 | + | 0.998811i | \(0.515527\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −11.8117 | −0.908590 | ||||||||
\(170\) | 5.85419 | + | 10.1398i | 0.448996 | + | 0.777684i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.25452 | + | 0.724298i | 0.0956564 | + | 0.0552272i | ||||
\(173\) | −2.99345 | − | 5.18480i | −0.227587 | − | 0.394193i | 0.729505 | − | 0.683975i | \(-0.239750\pi\) |
−0.957093 | + | 0.289782i | \(0.906417\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.73676 | − | 9.19140i | −0.131287 | − | 0.694804i | ||||
\(176\) | −2.51920 | + | 2.15723i | −0.189892 | + | 0.162607i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −4.01166 | + | 6.94840i | −0.300687 | + | 0.520805i | ||||
\(179\) | −2.58708 | + | 4.48096i | −0.193368 | + | 0.334923i | −0.946364 | − | 0.323102i | \(-0.895274\pi\) |
0.752997 | + | 0.658024i | \(0.228608\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 6.92820i | 0.514969i | 0.966282 | + | 0.257485i | \(0.0828937\pi\) | ||||
−0.966282 | + | 0.257485i | \(0.917106\pi\) | |||||||
\(182\) | −0.953243 | + | 2.72206i | −0.0706591 | + | 0.201772i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.51460 | − | 0.874452i | 0.111657 | − | 0.0644655i | ||||
\(185\) | 27.1239 | + | 15.6600i | 1.99419 | + | 1.15134i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 12.5350 | + | 4.42067i | 0.916648 | + | 0.323271i | ||||
\(188\) | − | 1.93909i | − | 0.141423i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 19.4406 | 1.41037 | ||||||||
\(191\) | −12.7663 | − | 22.1119i | −0.923738 | − | 1.59996i | −0.793578 | − | 0.608468i | \(-0.791784\pi\) |
−0.130160 | − | 0.991493i | \(-0.541549\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −10.6629 | − | 6.15622i | −0.767531 | − | 0.443134i | 0.0644622 | − | 0.997920i | \(-0.479467\pi\) |
−0.831993 | + | 0.554786i | \(0.812800\pi\) | |||||||
\(194\) | 6.45696 | + | 11.1838i | 0.463583 | + | 0.802949i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −5.47067 | − | 4.36713i | −0.390762 | − | 0.311938i | ||||
\(197\) | − | 0.0913794i | − | 0.00651051i | −0.999995 | − | 0.00325526i | \(-0.998964\pi\) | ||
0.999995 | − | 0.00325526i | \(-0.00103618\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 4.09342 | + | 2.36334i | 0.290175 | + | 0.167533i | 0.638021 | − | 0.770019i | \(-0.279753\pi\) |
−0.347846 | + | 0.937552i | \(0.613087\pi\) | |||||||
\(200\) | 3.06183 | + | 1.76775i | 0.216504 | + | 0.124999i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 9.11710i | 0.641477i | ||||||||
\(203\) | −11.0520 | − | 12.8490i | −0.775696 | − | 0.901825i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −11.7370 | + | 6.77636i | −0.819747 | + | 0.473281i | ||||
\(206\) | −0.630108 | + | 1.09138i | −0.0439017 | + | 0.0760400i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.545052 | − | 0.944057i | −0.0377925 | − | 0.0654586i | ||||
\(209\) | 16.7632 | − | 14.3546i | 1.15954 | − | 0.992929i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 13.5239i | 0.931027i | 0.885041 | + | 0.465513i | \(0.154130\pi\) | ||||
−0.885041 | + | 0.465513i | \(0.845870\pi\) | |||||||
\(212\) | −3.32405 | − | 5.75742i | −0.228296 | − | 0.395421i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 7.67359 | − | 13.2910i | 0.524556 | − | 0.908557i | ||||
\(215\) | −2.11608 | − | 3.66516i | −0.144315 | − | 0.249962i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −22.7038 | + | 4.28999i | −1.54123 | + | 0.291224i | ||||
\(218\) | 8.53276 | 0.577912 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 9.52517 | − | 1.77811i | 0.642187 | − | 0.119880i | ||||
\(221\) | −2.18434 | + | 3.78339i | −0.146935 | + | 0.254498i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 20.3880i | 1.36528i | 0.730756 | + | 0.682639i | \(0.239168\pi\) | ||||
−0.730756 | + | 0.682639i | \(0.760832\pi\) | |||||||
\(224\) | 2.59975 | − | 0.491235i | 0.173703 | − | 0.0328220i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −3.27031 | + | 1.88811i | −0.217538 | + | 0.125595i | ||||
\(227\) | −6.92130 | + | 11.9880i | −0.459383 | + | 0.795674i | −0.998928 | − | 0.0462820i | \(-0.985263\pi\) |
0.539546 | + | 0.841956i | \(0.318596\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −22.8847 | + | 13.2125i | −1.51226 | + | 0.873106i | −0.512367 | + | 0.858767i | \(0.671231\pi\) |
−0.999897 | + | 0.0143394i | \(0.995435\pi\) | |||||||
\(230\) | −5.10952 | −0.336912 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 6.40584 | 0.420564 | ||||||||
\(233\) | 14.7702 | − | 8.52757i | 0.967627 | − | 0.558660i | 0.0691150 | − | 0.997609i | \(-0.477982\pi\) |
0.898512 | + | 0.438949i | \(0.144649\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.83258 | + | 4.90617i | −0.184777 | + | 0.320043i | ||||
\(236\) | −6.85519 | + | 3.95784i | −0.446235 | + | 0.257634i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −6.91426 | − | 8.03853i | −0.448185 | − | 0.521060i | ||||
\(239\) | 0.628916i | 0.0406812i | 0.999793 | + | 0.0203406i | \(0.00647506\pi\) | ||||
−0.999793 | + | 0.0203406i | \(0.993525\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 10.0989 | − | 17.4917i | 0.650525 | − | 1.12674i | −0.332471 | − | 0.943114i | \(-0.607882\pi\) |
0.982996 | − | 0.183629i | \(-0.0587844\pi\) | |||||||
\(242\) | 6.90043 | − | 8.56645i | 0.443577 | − | 0.550672i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 2.75016 | 0.176061 | ||||||||
\(245\) | 7.46216 | + | 19.0409i | 0.476740 | + | 1.21648i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.62688 | + | 6.28193i | 0.230773 | + | 0.399710i | ||||
\(248\) | 4.36654 | − | 7.56307i | 0.277275 | − | 0.480255i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 2.13932 | + | 3.70540i | 0.135302 | + | 0.234350i | ||||
\(251\) | − | 27.4977i | − | 1.73564i | −0.496879 | − | 0.867820i | \(-0.665521\pi\) | ||
0.496879 | − | 0.867820i | \(-0.334479\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −4.40584 | + | 3.77279i | −0.276993 | + | 0.237193i | ||||
\(254\) | 5.90019 | + | 10.2194i | 0.370211 | + | 0.641223i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 1.28406 | − | 0.741351i | 0.0800973 | − | 0.0462442i | −0.459416 | − | 0.888221i | \(-0.651941\pi\) |
0.539514 | + | 0.841977i | \(0.318608\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −26.7693 | − | 9.37439i | −1.66336 | − | 0.582496i | ||||
\(260\) | 3.18480i | 0.197513i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 16.4130 | + | 9.47606i | 1.01400 | + | 0.585433i | ||||
\(263\) | 2.43498 | + | 1.40584i | 0.150147 | + | 0.0866877i | 0.573191 | − | 0.819421i | \(-0.305705\pi\) |
−0.423044 | + | 0.906109i | \(0.639038\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 19.4228i | 1.19313i | ||||||||
\(266\) | −17.2992 | + | 3.26877i | −1.06068 | + | 0.200421i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.70292 | + | 2.94954i | 0.104022 | + | 0.180172i | ||||
\(269\) | −16.7013 | − | 9.64249i | −1.01829 | − | 0.587913i | −0.104685 | − | 0.994505i | \(-0.533384\pi\) |
−0.913610 | + | 0.406593i | \(0.866717\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 7.72236 | + | 13.3755i | 0.469100 | + | 0.812504i | 0.999376 | − | 0.0353204i | \(-0.0112452\pi\) |
−0.530276 | + | 0.847825i | \(0.677912\pi\) | |||||||
\(272\) | 4.00758 | 0.242995 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | − | 13.2524i | − | 0.800607i | ||||||
\(275\) | −11.0584 | − | 3.89992i | −0.666845 | − | 0.235174i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 22.3530 | + | 12.9055i | 1.34306 | + | 0.775418i | 0.987256 | − | 0.159141i | \(-0.0508726\pi\) |
0.355807 | + | 0.934559i | \(0.384206\pi\) | |||||||
\(278\) | −2.40410 | + | 1.38801i | −0.144188 | + | 0.0832471i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −7.29532 | − | 2.55476i | −0.435979 | − | 0.152676i | ||||
\(281\) | 18.4993i | 1.10357i | 0.833985 | + | 0.551787i | \(0.186054\pi\) | ||||
−0.833985 | + | 0.551787i | \(0.813946\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −10.0262 | + | 17.3658i | −0.595994 | + | 1.03229i | 0.397412 | + | 0.917640i | \(0.369908\pi\) |
−0.993406 | + | 0.114651i | \(0.963425\pi\) | |||||||
\(284\) | 6.56754 | − | 11.3753i | 0.389712 | − | 0.675001i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.35160 | + | 2.74619i | 0.139053 | + | 0.162385i | ||||
\(287\) | 9.30478 | − | 8.00342i | 0.549244 | − | 0.472427i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 0.469647 | + | 0.813452i | 0.0276263 | + | 0.0478501i | ||||
\(290\) | −16.2077 | − | 9.35751i | −0.951748 | − | 0.549492i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −4.01166 | − | 6.94840i | −0.234765 | − | 0.406624i | ||||
\(293\) | −7.80439 | −0.455937 | −0.227969 | − | 0.973668i | \(-0.573208\pi\) | ||||
−0.227969 | + | 0.973668i | \(0.573208\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 23.1261 | 1.34646 | ||||||||
\(296\) | 9.28405 | − | 5.36015i | 0.539624 | − | 0.311552i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −6.89564 | + | 11.9436i | −0.399454 | + | 0.691875i | ||||
\(299\) | −0.953243 | − | 1.65107i | −0.0551275 | − | 0.0954836i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.49926 | + | 2.90564i | 0.144055 | + | 0.167478i | ||||
\(302\) | −8.71919 | −0.501733 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 3.32709 | − | 5.76270i | 0.190822 | − | 0.330513i | ||||
\(305\) | −6.95830 | − | 4.01738i | −0.398431 | − | 0.230034i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −25.2099 | −1.43880 | −0.719402 | − | 0.694594i | \(-0.755584\pi\) | ||||
−0.719402 | + | 0.694594i | \(0.755584\pi\) | |||||||
\(308\) | −8.17700 | + | 3.18382i | −0.465928 | + | 0.181415i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −22.0959 | + | 12.7571i | −1.25496 | + | 0.724554i | ||||
\(311\) | 9.84609 | + | 5.68464i | 0.558321 | + | 0.322347i | 0.752471 | − | 0.658625i | \(-0.228862\pi\) |
−0.194151 | + | 0.980972i | \(0.562195\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.18253 | + | 1.83744i | −0.179887 | + | 0.103858i | −0.587240 | − | 0.809413i | \(-0.699785\pi\) |
0.407352 | + | 0.913271i | \(0.366452\pi\) | |||||||
\(314\) | −15.1040 | −0.852368 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | − | 8.55809i | − | 0.481430i | ||||||
\(317\) | 12.2854 | + | 21.2789i | 0.690016 | + | 1.19514i | 0.971832 | + | 0.235674i | \(0.0757298\pi\) |
−0.281816 | + | 0.959468i | \(0.590937\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −20.8850 | + | 3.89869i | −1.16933 | + | 0.218285i | ||||
\(320\) | 2.53014 | − | 1.46078i | 0.141439 | − | 0.0816600i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 4.54671 | − | 0.859123i | 0.253378 | − | 0.0478770i | ||||
\(323\) | −26.6672 | −1.48380 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1.92703 | − | 3.33771i | 0.106892 | − | 0.185143i | ||||
\(326\) | 20.1087 | + | 11.6098i | 1.11372 | + | 0.643006i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 4.63887i | 0.256139i | ||||||||
\(329\) | 1.69564 | − | 4.84203i | 0.0934836 | − | 0.266950i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −8.14527 | − | 14.1080i | −0.447705 | − | 0.775447i | 0.550532 | − | 0.834814i | \(-0.314425\pi\) |
−0.998236 | + | 0.0593671i | \(0.981092\pi\) | |||||||
\(332\) | 4.41044 | − | 7.63911i | 0.242054 | − | 0.419251i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.09138 | − | 0.630108i | 0.0597176 | − | 0.0344780i | ||||
\(335\) | − | 9.95035i | − | 0.543646i | ||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 7.89181i | − | 0.429895i | −0.976626 | − | 0.214947i | \(-0.931042\pi\) | ||
0.976626 | − | 0.214947i | \(-0.0689580\pi\) | |||||||
\(338\) | 10.2292 | − | 5.90584i | 0.556396 | − | 0.321235i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −10.1398 | − | 5.85419i | −0.549905 | − | 0.317488i | ||||
\(341\) | −9.63324 | + | 27.3154i | −0.521669 | + | 1.47921i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −9.84177 | − | 15.6888i | −0.531405 | − | 0.847118i | ||||
\(344\) | −1.44860 | −0.0781031 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 5.18480 | + | 2.99345i | 0.278737 | + | 0.160929i | ||||
\(347\) | 8.30397 | + | 4.79430i | 0.445780 | + | 0.257371i | 0.706046 | − | 0.708166i | \(-0.250477\pi\) |
−0.260266 | + | 0.965537i | \(0.583810\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 13.3463 | 0.714410 | 0.357205 | − | 0.934026i | \(-0.383730\pi\) | ||||
0.357205 | + | 0.934026i | \(0.383730\pi\) | |||||||
\(350\) | 6.09978 | + | 7.09161i | 0.326047 | + | 0.379062i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.10308 | − | 3.12781i | 0.0587941 | − | 0.166713i | ||||
\(353\) | 14.4249 | + | 8.32820i | 0.767758 | + | 0.443265i | 0.832074 | − | 0.554664i | \(-0.187153\pi\) |
−0.0643160 | + | 0.997930i | \(0.520487\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −33.2336 | + | 19.1875i | −1.76386 | + | 1.01836i | ||||
\(356\) | − | 8.02332i | − | 0.425235i | ||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | − | 5.17417i | − | 0.273463i | ||||||
\(359\) | 2.97964 | − | 1.72030i | 0.157259 | − | 0.0907937i | −0.419305 | − | 0.907845i | \(-0.637726\pi\) |
0.576565 | + | 0.817052i | \(0.304393\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −12.6391 | + | 21.8916i | −0.665216 | + | 1.15219i | ||||
\(362\) | −3.46410 | − | 6.00000i | −0.182069 | − | 0.315353i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.535497 | − | 2.83399i | −0.0280676 | − | 0.148542i | ||||
\(365\) | 23.4406i | 1.22694i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 31.2630 | + | 18.0497i | 1.63191 | + | 0.942186i | 0.983502 | + | 0.180896i | \(0.0578998\pi\) |
0.648412 | + | 0.761290i | \(0.275433\pi\) | |||||||
\(368\) | −0.874452 | + | 1.51460i | −0.0455840 | + | 0.0789537i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −31.3200 | −1.62825 | ||||||||
\(371\) | −3.26577 | − | 17.2834i | −0.169551 | − | 0.897307i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −27.0363 | + | 15.6094i | −1.39989 | + | 0.808226i | −0.994380 | − | 0.105866i | \(-0.966239\pi\) |
−0.405508 | + | 0.914092i | \(0.632905\pi\) | |||||||
\(374\) | −13.0659 | + | 2.43908i | −0.675623 | + | 0.126122i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.969544 | + | 1.67930i | 0.0500004 | + | 0.0866032i | ||||
\(377\) | − | 6.98302i | − | 0.359644i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 16.2905 | 0.836789 | 0.418395 | − | 0.908265i | \(-0.362593\pi\) | ||||
0.418395 | + | 0.908265i | \(0.362593\pi\) | |||||||
\(380\) | −16.8360 | + | 9.72030i | −0.863671 | + | 0.498641i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 22.1119 | + | 12.7663i | 1.13134 | + | 0.653182i | ||||
\(383\) | −4.63221 | + | 2.67441i | −0.236695 | + | 0.136656i | −0.613657 | − | 0.789573i | \(-0.710302\pi\) |
0.376962 | + | 0.926229i | \(0.376969\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 25.3398 | + | 3.88926i | 1.29144 | + | 0.198215i | ||||
\(386\) | 12.3124 | 0.626686 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −11.1838 | − | 6.45696i | −0.567770 | − | 0.327802i | ||||
\(389\) | −17.8882 | + | 30.9833i | −0.906968 | + | 1.57091i | −0.0887143 | + | 0.996057i | \(0.528276\pi\) |
−0.818254 | + | 0.574857i | \(0.805058\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 7.00888 | 0.354454 | ||||||||
\(392\) | 6.92130 | + | 1.04671i | 0.349578 | + | 0.0528668i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0.0456897 | + | 0.0791369i | 0.00230181 | + | 0.00398686i | ||||
\(395\) | −12.5015 | + | 21.6532i | −0.629018 | + | 1.08949i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 10.0784 | − | 5.81877i | 0.505821 | − | 0.292036i | −0.225293 | − | 0.974291i | \(-0.572334\pi\) |
0.731114 | + | 0.682255i | \(0.239001\pi\) | |||||||
\(398\) | −4.72667 | −0.236927 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.53550 | −0.176775 | ||||||||
\(401\) | 3.19750 | + | 5.53823i | 0.159676 | + | 0.276566i | 0.934752 | − | 0.355302i | \(-0.115622\pi\) |
−0.775076 | + | 0.631868i | \(0.782289\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −8.24452 | − | 4.75998i | −0.410689 | − | 0.237111i | ||||
\(404\) | −4.55855 | − | 7.89564i | −0.226796 | − | 0.392823i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 15.9958 | + | 5.60160i | 0.793858 | + | 0.278003i | ||||
\(407\) | −27.0066 | + | 23.1261i | −1.33867 | + | 1.14632i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 13.0643 | − | 22.6280i | 0.645988 | − | 1.11888i | −0.338085 | − | 0.941116i | \(-0.609779\pi\) |
0.984072 | − | 0.177768i | \(-0.0568876\pi\) | |||||||
\(410\) | 6.77636 | − | 11.7370i | 0.334660 | − | 0.579649i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | − | 1.26022i | − | 0.0620864i | ||||||
\(413\) | −20.5788 | + | 3.88846i | −1.01262 | + | 0.191339i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −22.3181 | + | 12.8854i | −1.09555 | + | 0.632517i | ||||
\(416\) | 0.944057 | + | 0.545052i | 0.0462862 | + | 0.0267234i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −7.34007 | + | 20.8131i | −0.359015 | + | 1.01800i | ||||
\(419\) | 13.1071i | 0.640322i | 0.947363 | + | 0.320161i | \(0.103737\pi\) | ||||
−0.947363 | + | 0.320161i | \(0.896263\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.64930 | −0.0803821 | −0.0401910 | − | 0.999192i | \(-0.512797\pi\) | ||||
−0.0401910 | + | 0.999192i | \(0.512797\pi\) | |||||||
\(422\) | −6.76197 | − | 11.7121i | −0.329168 | − | 0.570135i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 5.75742 | + | 3.32405i | 0.279605 | + | 0.161430i | ||||
\(425\) | 7.08439 | + | 12.2705i | 0.343644 | + | 0.595208i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.86733 | + | 2.40488i | 0.332333 | + | 0.116381i | ||||
\(428\) | 15.3472i | 0.741834i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 3.66516 | + | 2.11608i | 0.176750 | + | 0.102046i | ||||
\(431\) | −24.6918 | − | 14.2558i | −1.18936 | − | 0.686677i | −0.231199 | − | 0.972907i | \(-0.574265\pi\) |
−0.958161 | + | 0.286229i | \(0.907598\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 11.4064i | − | 0.548159i | −0.961707 | − | 0.274079i | \(-0.911627\pi\) | ||
0.961707 | − | 0.274079i | \(-0.0883731\pi\) | |||||||
\(434\) | 17.5171 | − | 15.0671i | 0.840846 | − | 0.723246i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −7.38959 | + | 4.26638i | −0.353897 | + | 0.204323i | ||||
\(437\) | 5.81877 | − | 10.0784i | 0.278349 | − | 0.482115i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 6.44793 | + | 11.1681i | 0.307743 | + | 0.533026i | 0.977868 | − | 0.209222i | \(-0.0670930\pi\) |
−0.670125 | + | 0.742248i | \(0.733760\pi\) | |||||||
\(440\) | −7.35998 | + | 6.30247i | −0.350873 | + | 0.300458i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | − | 4.36868i | − | 0.207797i | ||||||
\(443\) | −6.88052 | − | 11.9174i | −0.326903 | − | 0.566213i | 0.654993 | − | 0.755635i | \(-0.272672\pi\) |
−0.981896 | + | 0.189422i | \(0.939338\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −11.7203 | + | 20.3001i | −0.555595 | + | 0.962319i | ||||
\(446\) | −10.1940 | − | 17.6565i | −0.482699 | − | 0.836059i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2.00583 | + | 1.72530i | −0.0947666 | + | 0.0815126i | ||||
\(449\) | 0.549957 | 0.0259541 | 0.0129770 | − | 0.999916i | \(-0.495869\pi\) | ||||
0.0129770 | + | 0.999916i | \(0.495869\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.82329 | − | 15.1241i | −0.132943 | − | 0.712167i | ||||
\(452\) | 1.88811 | − | 3.27031i | 0.0888094 | − | 0.153822i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | − | 13.8426i | − | 0.649665i | ||||||
\(455\) | −2.78495 | + | 7.95265i | −0.130561 | + | 0.372826i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −9.58467 | + | 5.53371i | −0.448352 | + | 0.258856i | −0.707134 | − | 0.707080i | \(-0.750012\pi\) |
0.258782 | + | 0.965936i | \(0.416679\pi\) | |||||||
\(458\) | 13.2125 | − | 22.8847i | 0.617379 | − | 1.06933i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 4.42498 | − | 2.55476i | 0.206316 | − | 0.119116i | ||||
\(461\) | 5.65536 | 0.263396 | 0.131698 | − | 0.991290i | \(-0.457957\pi\) | ||||
0.131698 | + | 0.991290i | \(0.457957\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −12.4421 | −0.578232 | −0.289116 | − | 0.957294i | \(-0.593361\pi\) | ||||
−0.289116 | + | 0.957294i | \(0.593361\pi\) | |||||||
\(464\) | −5.54762 | + | 3.20292i | −0.257542 | + | 0.148692i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −8.52757 | + | 14.7702i | −0.395032 | + | 0.684216i | ||||
\(467\) | −25.2031 | + | 14.5510i | −1.16626 | + | 0.673340i | −0.952796 | − | 0.303611i | \(-0.901808\pi\) |
−0.213463 | + | 0.976951i | \(0.568474\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.67307 | + | 8.85432i | 0.0772550 | + | 0.408854i | ||||
\(470\) | − | 5.66516i | − | 0.261314i | ||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 3.95784 | − | 6.85519i | 0.182175 | − | 0.315536i | ||||
\(473\) | 4.72287 | − | 0.881639i | 0.217158 | − | 0.0405378i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 23.5259 | 1.07944 | ||||||||
\(476\) | 10.0072 | + | 3.50444i | 0.458679 | + | 0.160626i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −0.314458 | − | 0.544657i | −0.0143830 | − | 0.0249121i | ||||
\(479\) | 5.28278 | − | 9.15005i | 0.241376 | − | 0.418076i | −0.719730 | − | 0.694254i | \(-0.755734\pi\) |
0.961107 | + | 0.276178i | \(0.0890678\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −5.84311 | − | 10.1206i | −0.266423 | − | 0.461458i | ||||
\(482\) | 20.1977i | 0.919981i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1.69273 | + | 10.8690i | −0.0769421 | + | 0.494044i | ||||
\(485\) | 18.8644 | + | 32.6740i | 0.856587 | + | 1.48365i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 14.6544 | − | 25.3822i | 0.664056 | − | 1.15018i | −0.315484 | − | 0.948931i | \(-0.602167\pi\) |
0.979540 | − | 0.201248i | \(-0.0644998\pi\) | |||||||
\(488\) | −2.38171 | + | 1.37508i | −0.107815 | + | 0.0622470i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −15.9829 | − | 12.7588i | −0.722032 | − | 0.576384i | ||||
\(491\) | − | 0.0239123i | − | 0.00107915i | −1.00000 | 0.000539573i | \(-0.999828\pi\) | |||
1.00000 | 0.000539573i | \(-0.000171751\pi\) | ||||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 22.2325 | + | 12.8360i | 1.00130 | + | 0.578102i | ||||
\(494\) | −6.28193 | − | 3.62688i | −0.282638 | − | 0.163181i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 8.73308i | 0.392127i | ||||||||
\(497\) | 26.3468 | − | 22.6619i | 1.18181 | − | 1.01653i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −9.16441 | − | 15.8732i | −0.410255 | − | 0.710583i | 0.584662 | − | 0.811277i | \(-0.301227\pi\) |
−0.994917 | + | 0.100694i | \(0.967894\pi\) | |||||||
\(500\) | −3.70540 | − | 2.13932i | −0.165711 | − | 0.0956731i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 13.7489 | + | 23.8137i | 0.613641 | + | 1.06286i | ||||
\(503\) | −37.3095 | −1.66355 | −0.831773 | − | 0.555116i | \(-0.812674\pi\) | ||||
−0.831773 | + | 0.555116i | \(0.812674\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 26.6361i | 1.18529i | ||||||||
\(506\) | 1.92917 | − | 5.47025i | 0.0857622 | − | 0.243182i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −10.2194 | − | 5.90019i | −0.453413 | − | 0.261778i | ||||
\(509\) | 10.5002 | − | 6.06230i | 0.465413 | − | 0.268707i | −0.248904 | − | 0.968528i | \(-0.580070\pi\) |
0.714318 | + | 0.699821i | \(0.246737\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.94133 | − | 20.8586i | −0.174354 | − | 0.922731i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.741351 | + | 1.28406i | −0.0326996 | + | 0.0566373i | ||||
\(515\) | −1.84090 | + | 3.18853i | −0.0811196 | + | 0.140503i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −4.18306 | − | 4.88495i | −0.183971 | − | 0.214840i | ||||
\(518\) | 27.8701 | − | 5.26618i | 1.22454 | − | 0.231383i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −1.59240 | − | 2.75812i | −0.0698313 | − | 0.120951i | ||||
\(521\) | −27.4207 | − | 15.8314i | −1.20132 | − | 0.693585i | −0.240475 | − | 0.970655i | \(-0.577303\pi\) |
−0.960850 | + | 0.277070i | \(0.910637\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −7.67457 | − | 13.2927i | −0.335585 | − | 0.581251i | 0.648012 | − | 0.761630i | \(-0.275601\pi\) |
−0.983597 | + | 0.180379i | \(0.942267\pi\) | |||||||
\(524\) | −18.9521 | −0.827927 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −2.81167 | −0.122595 | ||||||||
\(527\) | 30.3096 | − | 17.4993i | 1.32031 | − | 0.762280i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 9.97067 | − | 17.2697i | 0.433507 | − | 0.750857i | ||||
\(530\) | −9.71139 | − | 16.8206i | −0.421836 | − | 0.730641i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 13.3472 | − | 11.4804i | 0.578673 | − | 0.497740i | ||||
\(533\) | 5.05684 | 0.219036 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 22.4188 | − | 38.8305i | 0.969250 | − | 1.67879i | ||||
\(536\) | −2.94954 | − | 1.70292i | −0.127401 | − | 0.0735549i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 19.2850 | 0.831434 | ||||||||
\(539\) | −23.2026 | + | 0.799819i | −0.999406 | + | 0.0344507i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 5.20345 | − | 3.00421i | 0.223714 | − | 0.129161i | −0.383955 | − | 0.923352i | \(-0.625438\pi\) |
0.607669 | + | 0.794191i | \(0.292105\pi\) | |||||||
\(542\) | −13.3755 | − | 7.72236i | −0.574527 | − | 0.331704i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −3.47067 | + | 2.00379i | −0.148804 | + | 0.0859118i | ||||
\(545\) | 24.9290 | 1.06784 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 2.05609i | 0.0879123i | 0.999033 | + | 0.0439561i | \(0.0139962\pi\) | ||||
−0.999033 | + | 0.0439561i | \(0.986004\pi\) | |||||||
\(548\) | 6.62620 | + | 11.4769i | 0.283057 | + | 0.490270i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 11.5268 | − | 2.15176i | 0.491504 | − | 0.0917513i | ||||
\(551\) | 36.9149 | − | 21.3128i | 1.57263 | − | 0.907957i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 7.48364 | − | 21.3701i | 0.318237 | − | 0.908750i | ||||
\(554\) | −25.8111 | −1.09661 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.38801 | − | 2.40410i | 0.0588646 | − | 0.101956i | ||||
\(557\) | 26.2306 | + | 15.1443i | 1.11143 | + | 0.641683i | 0.939199 | − | 0.343374i | \(-0.111570\pi\) |
0.172228 | + | 0.985057i | \(0.444903\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.57912i | 0.0667896i | ||||||||
\(560\) | 7.59531 | − | 1.43517i | 0.320961 | − | 0.0606470i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −9.24963 | − | 16.0208i | −0.390172 | − | 0.675798i | ||||
\(563\) | −21.7610 | + | 37.6912i | −0.917119 | + | 1.58850i | −0.113350 | + | 0.993555i | \(0.536158\pi\) |
−0.803769 | + | 0.594941i | \(0.797175\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −9.55440 | + | 5.51623i | −0.401956 | + | 0.232070i | ||||
\(566\) | − | 20.0523i | − | 0.842863i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 13.1351i | 0.551136i | ||||||||
\(569\) | 15.5660 | − | 8.98702i | 0.652560 | − | 0.376756i | −0.136876 | − | 0.990588i | \(-0.543706\pi\) |
0.789436 | + | 0.613833i | \(0.210373\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −34.0453 | − | 19.6561i | −1.42475 | − | 0.822580i | −0.428051 | − | 0.903755i | \(-0.640800\pi\) |
−0.996700 | + | 0.0811744i | \(0.974133\pi\) | |||||||
\(572\) | −3.40964 | − | 1.20247i | −0.142564 | − | 0.0502776i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −4.05647 | + | 11.5836i | −0.169314 | + | 0.483488i | ||||
\(575\) | −6.18324 | −0.257859 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 21.8053 | + | 12.5893i | 0.907766 | + | 0.524099i | 0.879712 | − | 0.475508i | \(-0.157736\pi\) |
0.0280542 | + | 0.999606i | \(0.491069\pi\) | |||||||
\(578\) | −0.813452 | − | 0.469647i | −0.0338352 | − | 0.0195347i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 18.7150 | 0.777099 | ||||||||
\(581\) | 17.6932 | − | 15.2186i | 0.734037 | − | 0.631375i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −20.7940 | − | 7.33335i | −0.861199 | − | 0.303716i | ||||
\(584\) | 6.94840 | + | 4.01166i | 0.287527 | + | 0.166004i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 6.75880 | − | 3.90220i | 0.279204 | − | 0.161198i | ||||
\(587\) | − | 20.1219i | − | 0.830520i | −0.909703 | − | 0.415260i | \(-0.863691\pi\) | ||
0.909703 | − | 0.415260i | \(-0.136309\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 58.1115i | − | 2.39444i | ||||||
\(590\) | −20.0278 | + | 11.5631i | −0.824532 | + | 0.476044i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −5.36015 | + | 9.28405i | −0.220301 | + | 0.381572i | ||||
\(593\) | 23.0400 | + | 39.9065i | 0.946140 | + | 1.63876i | 0.753452 | + | 0.657503i | \(0.228387\pi\) |
0.192688 | + | 0.981260i | \(0.438279\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −20.2004 | − | 23.4850i | −0.828136 | − | 0.962792i | ||||
\(596\) | − | 13.7913i | − | 0.564913i | ||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 1.65107 | + | 0.953243i | 0.0675171 | + | 0.0389810i | ||||
\(599\) | 6.63371 | − | 11.4899i | 0.271046 | − | 0.469465i | −0.698084 | − | 0.716016i | \(-0.745964\pi\) |
0.969130 | + | 0.246551i | \(0.0792971\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 40.2620 | 1.64232 | 0.821160 | − | 0.570698i | \(-0.193327\pi\) | ||||
0.821160 | + | 0.570698i | \(0.193327\pi\) | |||||||
\(602\) | −3.61724 | − | 1.26673i | −0.147428 | − | 0.0516280i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 7.55104 | − | 4.35960i | 0.307248 | − | 0.177389i | ||||
\(605\) | 20.1600 | − | 25.0274i | 0.819621 | − | 1.01751i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 16.7092 | + | 28.9412i | 0.678205 | + | 1.17469i | 0.975521 | + | 0.219907i | \(0.0705752\pi\) |
−0.297316 | + | 0.954779i | \(0.596091\pi\) | |||||||
\(608\) | 6.65419i | 0.269863i | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 8.03475 | 0.325318 | ||||||||
\(611\) | 1.83061 | − | 1.05690i | 0.0740585 | − | 0.0427577i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 40.2610 | + | 23.2447i | 1.62613 | + | 0.938845i | 0.985234 | + | 0.171216i | \(0.0547695\pi\) |
0.640894 | + | 0.767629i | \(0.278564\pi\) | |||||||
\(614\) | 21.8324 | − | 12.6049i | 0.881084 | − | 0.508694i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 5.48958 | − | 6.84577i | 0.221181 | − | 0.275824i | ||||
\(617\) | 41.6397 | 1.67635 | 0.838176 | − | 0.545399i | \(-0.183622\pi\) | ||||
0.838176 | + | 0.545399i | \(0.183622\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −24.2001 | − | 13.9720i | −0.972686 | − | 0.561580i | −0.0726317 | − | 0.997359i | \(-0.523140\pi\) |
−0.900054 | + | 0.435779i | \(0.856473\pi\) | |||||||
\(620\) | 12.7571 | − | 22.0959i | 0.512337 | − | 0.887394i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −11.3693 | −0.455867 | ||||||||
\(623\) | 7.01601 | − | 20.0348i | 0.281090 | − | 0.802675i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 15.0889 | + | 26.1347i | 0.603555 | + | 1.04539i | ||||
\(626\) | 1.83744 | − | 3.18253i | 0.0734387 | − | 0.127200i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 13.0804 | − | 7.55200i | 0.521967 | − | 0.301358i | ||||
\(629\) | 42.9625 | 1.71303 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 42.5667 | 1.69455 | 0.847277 | − | 0.531151i | \(-0.178240\pi\) | ||||
0.847277 | + | 0.531151i | \(0.178240\pi\) | |||||||
\(632\) | 4.27905 | + | 7.41153i | 0.170211 | + | 0.294815i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −21.2789 | − | 12.2854i | −0.845093 | − | 0.487915i | ||||
\(635\) | 17.2377 | + | 29.8566i | 0.684058 | + | 1.18482i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.14102 | − | 7.54493i | 0.0452089 | − | 0.298941i | ||||
\(638\) | 16.1376 | − | 13.8189i | 0.638893 | − | 0.547094i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.46078 | + | 2.53014i | −0.0577423 | + | 0.100013i | ||||
\(641\) | −13.2962 | + | 23.0297i | −0.525168 | + | 0.909617i | 0.474403 | + | 0.880308i | \(0.342664\pi\) |
−0.999570 | + | 0.0293092i | \(0.990669\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 10.7136i | 0.422502i | 0.977432 | + | 0.211251i | \(0.0677537\pi\) | ||||
−0.977432 | + | 0.211251i | \(0.932246\pi\) | |||||||
\(644\) | −3.50800 | + | 3.01738i | −0.138235 | + | 0.118901i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 23.0945 | − | 13.3336i | 0.908640 | − | 0.524603i | ||||
\(647\) | 29.0896 | + | 16.7949i | 1.14363 | + | 0.660275i | 0.947327 | − | 0.320268i | \(-0.103773\pi\) |
0.196303 | + | 0.980543i | \(0.437106\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −8.73160 | + | 24.7588i | −0.342745 | + | 0.971868i | ||||
\(650\) | 3.85406i | 0.151169i | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −23.2196 | −0.909348 | ||||||||
\(653\) | −10.0497 | − | 17.4067i | −0.393277 | − | 0.681176i | 0.599603 | − | 0.800298i | \(-0.295325\pi\) |
−0.992880 | + | 0.119122i | \(0.961992\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 47.9516 | + | 27.6849i | 1.87362 | + | 1.08174i | ||||
\(656\) | −2.31943 | − | 4.01738i | −0.0905587 | − | 0.156852i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.952547 | + | 5.04114i | 0.0371342 | + | 0.196524i | ||||
\(659\) | 14.5906i | 0.568371i | 0.958769 | + | 0.284185i | \(0.0917231\pi\) | ||||
−0.958769 | + | 0.284185i | \(0.908277\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −19.8956 | − | 11.4868i | −0.773851 | − | 0.446783i | 0.0603957 | − | 0.998175i | \(-0.480764\pi\) |
−0.834247 | + | 0.551391i | \(0.814097\pi\) | |||||||
\(662\) | 14.1080 | + | 8.14527i | 0.548324 | + | 0.316575i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 8.82088i | 0.342317i | ||||||||
\(665\) | −50.5406 | + | 9.54989i | −1.95988 | + | 0.370329i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −9.70225 | + | 5.60160i | −0.375673 | + | 0.216895i | ||||
\(668\) | −0.630108 | + | 1.09138i | −0.0243796 | + | 0.0422267i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 4.97517 | + | 8.61726i | 0.192208 | + | 0.332914i | ||||
\(671\) | 6.92820 | − | 5.93273i | 0.267460 | − | 0.229030i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 9.22437i | − | 0.355573i | −0.984069 | − | 0.177787i | \(-0.943106\pi\) | ||
0.984069 | − | 0.177787i | \(-0.0568937\pi\) | |||||||
\(674\) | 3.94591 | + | 6.83451i | 0.151991 | + | 0.263256i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −5.90584 | + | 10.2292i | −0.227148 | + | 0.393431i | ||||
\(677\) | 0.577220 | + | 0.999774i | 0.0221844 | + | 0.0384244i | 0.876904 | − | 0.480665i | \(-0.159605\pi\) |
−0.854720 | + | 0.519089i | \(0.826271\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −22.2803 | − | 25.9031i | −0.855040 | − | 0.994071i | ||||
\(680\) | 11.7084 | 0.448996 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −5.31509 | − | 28.4725i | −0.203525 | − | 1.09027i | ||||
\(683\) | −10.2586 | + | 17.7683i | −0.392533 | + | 0.679887i | −0.992783 | − | 0.119926i | \(-0.961734\pi\) |
0.600250 | + | 0.799812i | \(0.295068\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 38.7177i | − | 1.47933i | ||||||
\(686\) | 16.3676 | + | 8.66605i | 0.624919 | + | 0.330871i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1.25452 | − | 0.724298i | 0.0478282 | − | 0.0276136i | ||||
\(689\) | 3.62355 | − | 6.27618i | 0.138046 | − | 0.239103i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 29.9000 | − | 17.2628i | 1.13745 | − | 0.656708i | 0.191653 | − | 0.981463i | \(-0.438615\pi\) |
0.945798 | + | 0.324755i | \(0.105282\pi\) | |||||||
\(692\) | −5.98689 | −0.227587 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −9.58860 | −0.363978 | ||||||||
\(695\) | −7.02371 | + | 4.05514i | −0.266424 | + | 0.153820i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −9.29532 | + | 16.1000i | −0.352085 | + | 0.609830i | ||||
\(698\) | −11.5582 | + | 6.67314i | −0.437485 | + | 0.252582i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −8.82836 | − | 3.09162i | −0.333681 | − | 0.116852i | ||||
\(701\) | − | 26.5927i | − | 1.00439i | −0.864754 | − | 0.502196i | \(-0.832526\pi\) | ||
0.864754 | − | 0.502196i | \(-0.167474\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 35.6674 | − | 61.7778i | 1.34522 | − | 2.32999i | ||||
\(704\) | 0.608616 | + | 3.26030i | 0.0229381 | + | 0.122877i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −16.6564 | −0.626872 | ||||||||
\(707\) | −4.47864 | − | 23.7022i | −0.168437 | − | 0.891412i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −25.1514 | − | 43.5636i | −0.944582 | − | 1.63606i | −0.756586 | − | 0.653894i | \(-0.773134\pi\) |
−0.187996 | − | 0.982170i | \(-0.560199\pi\) | |||||||
\(710\) | 19.1875 | − | 33.2336i | 0.720092 | − | 1.24724i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 4.01166 | + | 6.94840i | 0.150343 | + | 0.260402i | ||||
\(713\) | 15.2733i | 0.571990i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.87034 | + | 8.02314i | 0.256936 | + | 0.300048i | ||||
\(716\) | 2.58708 | + | 4.48096i | 0.0966838 | + | 0.167461i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −1.72030 | + | 2.97964i | −0.0642009 | + | 0.111199i | ||||
\(719\) | −9.75818 | + | 5.63389i | −0.363919 | + | 0.210109i | −0.670798 | − | 0.741640i | \(-0.734048\pi\) |
0.306880 | + | 0.951748i | \(0.400715\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.10200 | − | 3.14684i | 0.0410406 | − | 0.117195i | ||||
\(722\) | − | 25.2782i | − | 0.940758i | ||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 6.00000 | + | 3.46410i | 0.222988 | + | 0.128742i | ||||
\(725\) | −19.6136 | − | 11.3239i | −0.728430 | − | 0.420559i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 14.4011i | 0.534106i | 0.963682 | + | 0.267053i | \(0.0860499\pi\) | ||||
−0.963682 | + | 0.267053i | \(0.913950\pi\) | |||||||
\(728\) | 1.88075 | + | 2.18656i | 0.0697052 | + | 0.0810394i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −11.7203 | − | 20.3001i | −0.433788 | − | 0.751342i | ||||
\(731\) | −5.02760 | − | 2.90268i | −0.185952 | − | 0.107360i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −2.30680 | − | 3.99549i | −0.0852034 | − | 0.147577i | 0.820274 | − | 0.571970i | \(-0.193821\pi\) |
−0.905478 | + | 0.424393i | \(0.860487\pi\) | |||||||
\(734\) | −36.0994 | −1.33245 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | − | 1.74890i | − | 0.0644655i | ||||||
\(737\) | 10.6528 | + | 3.75690i | 0.392402 | + | 0.138387i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 43.4306 | + | 25.0747i | 1.59762 | + | 0.922387i | 0.991944 | + | 0.126675i | \(0.0404306\pi\) |
0.605676 | + | 0.795711i | \(0.292903\pi\) | |||||||
\(740\) | 27.1239 | − | 15.6600i | 0.997094 | − | 0.575672i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 11.4699 | + | 13.3349i | 0.421074 | + | 0.489541i | ||||
\(743\) | − | 30.7639i | − | 1.12862i | −0.825564 | − | 0.564308i | \(-0.809143\pi\) | ||
0.825564 | − | 0.564308i | \(-0.190857\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −20.1460 | + | 34.8939i | −0.738093 | + | 1.27841i | ||||
\(746\) | 15.6094 | − | 27.0363i | 0.571502 | − | 0.989870i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 10.0959 | − | 8.64527i | 0.369142 | − | 0.316102i | ||||
\(749\) | −13.4204 | + | 38.3229i | −0.490370 | + | 1.40029i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −19.5044 | − | 33.7826i | −0.711726 | − | 1.23275i | −0.964209 | − | 0.265144i | \(-0.914581\pi\) |
0.252483 | − | 0.967601i | \(-0.418753\pi\) | |||||||
\(752\) | −1.67930 | − | 0.969544i | −0.0612377 | − | 0.0353556i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 3.49151 | + | 6.04748i | 0.127153 | + | 0.220236i | ||||
\(755\) | −25.4736 | −0.927080 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 3.09695 | 0.112560 | 0.0562802 | − | 0.998415i | \(-0.482076\pi\) | ||||
0.0562802 | + | 0.998415i | \(0.482076\pi\) | |||||||
\(758\) | −14.1080 | + | 8.14527i | −0.512427 | + | 0.295850i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 9.72030 | − | 16.8360i | 0.352592 | − | 0.610708i | ||||
\(761\) | −19.2290 | − | 33.3056i | −0.697051 | − | 1.20733i | −0.969484 | − | 0.245153i | \(-0.921162\pi\) |
0.272434 | − | 0.962175i | \(-0.412171\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −22.1830 | + | 4.19159i | −0.803080 | + | 0.151746i | ||||
\(764\) | −25.5326 | −0.923738 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 2.67441 | − | 4.63221i | 0.0966303 | − | 0.167369i | ||||
\(767\) | −7.47286 | − | 4.31446i | −0.269829 | − | 0.155786i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −9.12126 | −0.328921 | −0.164460 | − | 0.986384i | \(-0.552588\pi\) | ||||
−0.164460 | + | 0.986384i | \(0.552588\pi\) | |||||||
\(770\) | −23.8896 | + | 9.30172i | −0.860920 | + | 0.335211i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −10.6629 | + | 6.15622i | −0.383765 | + | 0.221567i | ||||
\(773\) | 18.0906 | + | 10.4446i | 0.650675 | + | 0.375667i | 0.788715 | − | 0.614759i | \(-0.210747\pi\) |
−0.138040 | + | 0.990427i | \(0.544080\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −26.7392 | + | 15.4379i | −0.960500 | + | 0.554545i | ||||
\(776\) | 12.9139 | 0.463583 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | − | 35.7764i | − | 1.28265i | ||||||
\(779\) | 15.4339 | + | 26.7324i | 0.552979 | + | 0.957787i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −7.99422 | − | 42.8244i | −0.286056 | − | 1.53238i | ||||
\(782\) | −6.06986 | + | 3.50444i | −0.217058 | + | 0.125318i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −6.51738 | + | 2.55417i | −0.232763 | + | 0.0912205i | ||||
\(785\) | −44.1272 | −1.57497 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −21.5599 | + | 37.3428i | −0.768527 | + | 1.33113i | 0.169835 | + | 0.985472i | \(0.445676\pi\) |
−0.938362 | + | 0.345655i | \(0.887657\pi\) | |||||||
\(788\) | −0.0791369 | − | 0.0456897i | −0.00281913 | − | 0.00162763i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | − | 25.0030i | − | 0.889565i | ||||||
\(791\) | 7.57447 | − | 6.51511i | 0.269317 | − | 0.231651i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1.49898 | + | 2.59631i | 0.0532303 | + | 0.0921976i | ||||
\(794\) | −5.81877 | + | 10.0784i | −0.206500 | + | 0.357669i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 4.09342 | − | 2.36334i | 0.145087 | − | 0.0837663i | ||||
\(797\) | 9.58780i | 0.339617i | 0.985477 | + | 0.169809i | \(0.0543150\pi\) | ||||
−0.985477 | + | 0.169809i | \(0.945685\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 7.77105i | 0.274920i | ||||||||
\(800\) | 3.06183 | − | 1.76775i | 0.108252 | − | 0.0624993i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −5.53823 | − | 3.19750i | −0.195562 | − | 0.112908i | ||||
\(803\) | −25.0955 | − | 8.85033i | −0.885600 | − | 0.312321i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 13.2835 | − | 2.50998i | 0.468181 | − | 0.0884650i | ||||
\(806\) | 9.51996 | 0.335326 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 7.89564 | + | 4.55855i | 0.277768 | + | 0.160369i | ||||
\(809\) | −6.29068 | − | 3.63193i | −0.221169 | − | 0.127692i | 0.385323 | − | 0.922782i | \(-0.374090\pi\) |
−0.606491 | + | 0.795090i | \(0.707423\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −30.8894 | −1.08467 | −0.542337 | − | 0.840161i | \(-0.682460\pi\) | ||||
−0.542337 | + | 0.840161i | \(0.682460\pi\) | |||||||
\(812\) | −16.6536 | + | 3.14677i | −0.584425 | + | 0.110430i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 11.8253 | − | 33.5311i | 0.414476 | − | 1.17526i | ||||
\(815\) | 58.7488 | + | 33.9186i | 2.05788 | + | 1.18812i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −8.34782 | + | 4.81962i | −0.292053 | + | 0.168617i | ||||
\(818\) | 26.1286i | 0.913564i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 13.5527i | 0.473281i | ||||||||
\(821\) | −46.0688 | + | 26.5978i | −1.60781 | + | 0.928270i | −0.617953 | + | 0.786215i | \(0.712038\pi\) |
−0.989859 | + | 0.142055i | \(0.954629\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −5.37108 | + | 9.30299i | −0.187224 | + | 0.324282i | −0.944324 | − | 0.329018i | \(-0.893282\pi\) |
0.757100 | + | 0.653300i | \(0.226616\pi\) | |||||||
\(824\) | 0.630108 | + | 1.09138i | 0.0219509 | + | 0.0380200i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 15.8775 | − | 13.6569i | 0.552450 | − | 0.475184i | ||||
\(827\) | 32.1624i | 1.11840i | 0.829034 | + | 0.559198i | \(0.188891\pi\) | ||||
−0.829034 | + | 0.559198i | \(0.811109\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 7.38257 | + | 4.26233i | 0.256407 | + | 0.148037i | 0.622695 | − | 0.782465i | \(-0.286038\pi\) |
−0.366287 | + | 0.930502i | \(0.619371\pi\) | |||||||
\(830\) | 12.8854 | − | 22.3181i | 0.447257 | − | 0.774672i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −1.09010 | −0.0377925 | ||||||||
\(833\) | 21.9241 | + | 17.5016i | 0.759626 | + | 0.606395i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.18853 | − | 1.84090i | 0.110344 | − | 0.0637069i | ||||
\(836\) | −4.04984 | − | 21.6947i | −0.140067 | − | 0.750326i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −6.55353 | − | 11.3511i | −0.226388 | − | 0.392116i | ||||
\(839\) | − | 12.2064i | − | 0.421411i | −0.977550 | − | 0.210705i | \(-0.932424\pi\) | ||
0.977550 | − | 0.210705i | \(-0.0675761\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −12.0348 | −0.414992 | ||||||||
\(842\) | 1.42834 | − | 0.824651i | 0.0492238 | − | 0.0284194i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 11.7121 | + | 6.76197i | 0.403146 | + | 0.232757i | ||||
\(845\) | 29.8852 | − | 17.2542i | 1.02808 | − | 0.593564i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −13.7312 | + | 25.6603i | −0.471811 | + | 0.881700i | ||||
\(848\) | −6.64809 | −0.228296 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −12.2705 | − | 7.08439i | −0.420876 | − | 0.242993i | ||||
\(851\) | −9.37439 | + | 16.2369i | −0.321350 | + | 0.556594i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 19.0638 | 0.652731 | 0.326366 | − | 0.945244i | \(-0.394176\pi\) | ||||
0.326366 | + | 0.945244i | \(0.394176\pi\) | |||||||
\(854\) | −7.14973 | + | 1.35097i | −0.244659 | + | 0.0462294i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −7.67359 | − | 13.2910i | −0.262278 | − | 0.454278i | ||||
\(857\) | −24.6052 | + | 42.6175i | −0.840498 | + | 1.45578i | 0.0489767 | + | 0.998800i | \(0.484404\pi\) |
−0.889474 | + | 0.456985i | \(0.848929\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −24.4358 | + | 14.1080i | −0.833739 | + | 0.481360i | −0.855131 | − | 0.518412i | \(-0.826524\pi\) |
0.0213919 | + | 0.999771i | \(0.493190\pi\) | |||||||
\(860\) | −4.23216 | −0.144315 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 28.5116 | 0.971108 | ||||||||
\(863\) | −24.5811 | − | 42.5757i | −0.836749 | − | 1.44929i | −0.892598 | − | 0.450853i | \(-0.851120\pi\) |
0.0558487 | − | 0.998439i | \(-0.482214\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 15.1477 | + | 8.74552i | 0.515037 | + | 0.297357i | ||||
\(866\) | 5.70322 | + | 9.87827i | 0.193803 | + | 0.335677i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −7.63666 | + | 21.8071i | −0.259205 | + | 0.740180i | ||||
\(869\) | −18.4618 | − | 21.5595i | −0.626273 | − | 0.731357i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.85636 | + | 3.21531i | −0.0629003 | + | 0.108946i | ||||
\(872\) | 4.26638 | − | 7.38959i | 0.144478 | − | 0.250243i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 11.6375i | 0.393646i | ||||||||
\(875\) | −7.38190 | − | 8.58221i | −0.249554 | − | 0.290132i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 2.48413 | − | 1.43421i | 0.0838830 | − | 0.0484299i | −0.457472 | − | 0.889224i | \(-0.651245\pi\) |
0.541355 | + | 0.840794i | \(0.317912\pi\) | |||||||
\(878\) | −11.1681 | − | 6.44793i | −0.376907 | − | 0.217607i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 3.22270 | − | 9.13809i | 0.108637 | − | 0.308045i | ||||
\(881\) | 34.1857i | 1.15175i | 0.817539 | + | 0.575874i | \(0.195338\pi\) | ||||
−0.817539 | + | 0.575874i | \(0.804662\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −8.91891 | −0.300145 | −0.150073 | − | 0.988675i | \(-0.547951\pi\) | ||||
−0.150073 | + | 0.988675i | \(0.547951\pi\) | |||||||
\(884\) | 2.18434 | + | 3.78339i | 0.0734673 | + | 0.127249i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 11.9174 | + | 6.88052i | 0.400373 | + | 0.231155i | ||||
\(887\) | 14.9572 | + | 25.9066i | 0.502213 | + | 0.869858i | 0.999997 | + | 0.00255684i | \(0.000813869\pi\) |
−0.497784 | + | 0.867301i | \(0.665853\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −20.3591 | − | 23.6695i | −0.682823 | − | 0.793851i | ||||
\(890\) | − | 23.4406i | − | 0.785730i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 17.6565 | + | 10.1940i | 0.591183 | + | 0.341320i | ||||
\(893\) | 11.1744 | + | 6.45153i | 0.373936 | + | 0.215892i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − | 15.1166i | − | 0.505293i | ||||||
\(896\) | 0.874452 | − | 2.49706i | 0.0292134 | − | 0.0834211i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −0.476277 | + | 0.274979i | −0.0158936 | + | 0.00917615i | ||||
\(899\) | −27.9713 | + | 48.4478i | −0.932896 | + | 1.61582i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 13.3214 | + | 23.0733i | 0.443800 | + | 0.768684i | ||||
\(902\) | 10.0071 | + | 11.6862i | 0.333200 | + | 0.389109i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 3.77623i | 0.125595i | ||||||||
\(905\) | −10.1206 | − | 17.5293i | −0.336419 | − | 0.582695i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 26.5493 | − | 45.9848i | 0.881557 | − | 1.52690i | 0.0319465 | − | 0.999490i | \(-0.489829\pi\) |
0.849610 | − | 0.527411i | \(-0.176837\pi\) | |||||||
\(908\) | 6.92130 | + | 11.9880i | 0.229691 | + | 0.397837i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −1.56448 | − | 8.27967i | −0.0518621 | − | 0.274469i | ||||
\(911\) | 33.6396 | 1.11453 | 0.557266 | − | 0.830334i | \(-0.311851\pi\) | ||||
0.557266 | + | 0.830334i | \(0.311851\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −5.36853 | − | 28.7588i | −0.177672 | − | 0.951776i | ||||
\(914\) | 5.53371 | − | 9.58467i | 0.183039 | − | 0.317033i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 26.4250i | 0.873106i | ||||||||
\(917\) | −47.3247 | − | 16.5727i | −1.56280 | − | 0.547280i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 0.202342 | − | 0.116822i | 0.00667464 | − | 0.00385361i | −0.496659 | − | 0.867946i | \(-0.665440\pi\) |
0.503334 | + | 0.864092i | \(0.332107\pi\) | |||||||
\(920\) | −2.55476 | + | 4.42498i | −0.0842280 | + | 0.145887i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −4.89768 | + | 2.82768i | −0.161297 | + | 0.0931247i | ||||
\(923\) | 14.3186 | 0.471302 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −37.9016 | −1.24620 | ||||||||
\(926\) | 10.7752 | − | 6.22104i | 0.354094 | − | 0.204436i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 3.20292 | − | 5.54762i | 0.105141 | − | 0.182109i | ||||
\(929\) | 23.5789 | − | 13.6133i | 0.773597 | − | 0.446636i | −0.0605592 | − | 0.998165i | \(-0.519288\pi\) |
0.834156 | + | 0.551528i | \(0.185955\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 43.3679 | − | 16.9959i | 1.42132 | − | 0.557020i | ||||
\(932\) | − | 17.0551i | − | 0.558660i | ||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 14.5510 | − | 25.2031i | 0.476123 | − | 0.824670i | ||||
\(935\) | −38.1729 | + | 7.12590i | −1.24839 | + | 0.233042i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 18.3603 | 0.599805 | 0.299903 | − | 0.953970i | \(-0.403046\pi\) | ||||
0.299903 | + | 0.953970i | \(0.403046\pi\) | |||||||
\(938\) | −5.87608 | − | 6.83153i | −0.191861 | − | 0.223057i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 2.83258 | + | 4.90617i | 0.0923885 | + | 0.160022i | ||||
\(941\) | −11.4479 | + | 19.8283i | −0.373190 | + | 0.646384i | −0.990054 | − | 0.140685i | \(-0.955069\pi\) |
0.616864 | + | 0.787070i | \(0.288403\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −4.05647 | − | 7.02601i | −0.132097 | − | 0.228798i | ||||
\(944\) | 7.91569i | 0.257634i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −3.64930 | + | 3.12495i | −0.118649 | + | 0.101601i | ||||
\(947\) | −13.9066 | − | 24.0869i | −0.451904 | − | 0.782720i | 0.546600 | − | 0.837394i | \(-0.315922\pi\) |
−0.998504 | + | 0.0546731i | \(0.982588\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 4.37312 | − | 7.57447i | 0.141958 | − | 0.245878i | ||||
\(950\) | −20.3740 | + | 11.7629i | −0.661020 | + | 0.381640i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −10.4187 | + | 1.96866i | −0.337672 | + | 0.0638047i | ||||
\(953\) | − | 54.6637i | − | 1.77073i | −0.464897 | − | 0.885365i | \(-0.653909\pi\) | ||
0.464897 | − | 0.885365i | \(-0.346091\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 64.6012 | + | 37.2975i | 2.09045 | + | 1.20692i | ||||
\(956\) | 0.544657 | + | 0.314458i | 0.0176155 | + | 0.0101703i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 10.5656i | 0.341358i | ||||||||
\(959\) | 6.51004 | + | 34.4529i | 0.210220 | + | 1.11254i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 22.6333 | + | 39.2021i | 0.730107 | + | 1.26458i | ||||
\(962\) | 10.1206 | + | 5.84311i | 0.326300 | + | 0.188390i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −10.0989 | − | 17.4917i | −0.325262 | − | 0.563371i | ||||
\(965\) | 35.9715 | 1.15796 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 44.7015i | 1.43750i | 0.695267 | + | 0.718751i | \(0.255286\pi\) | ||||
−0.695267 | + | 0.718751i | \(0.744714\pi\) | |||||||
\(968\) | −3.96855 | − | 10.2592i | −0.127554 | − | 0.329742i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −32.6740 | − | 18.8644i | −1.04910 | − | 0.605698i | ||||
\(971\) | 13.7915 | − | 7.96253i | 0.442590 | − | 0.255530i | −0.262105 | − | 0.965039i | \(-0.584417\pi\) |
0.704696 | + | 0.709510i | \(0.251083\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 5.56821 | − | 4.78944i | 0.178509 | − | 0.153542i | ||||
\(974\) | 29.3089i | 0.939117i | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1.37508 | − | 2.38171i | 0.0440153 | − | 0.0762367i | ||||
\(977\) | −24.8882 | + | 43.1077i | −0.796245 | + | 1.37914i | 0.125800 | + | 0.992056i | \(0.459850\pi\) |
−0.922045 | + | 0.387082i | \(0.873483\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −17.3081 | − | 20.2123i | −0.553171 | − | 0.645989i | ||||
\(980\) | 20.2210 | + | 3.05802i | 0.645935 | + | 0.0976849i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0.0119561 | + | 0.0207086i | 0.000381536 | + | 0.000660839i | ||||
\(983\) | 11.5461 | + | 6.66617i | 0.368265 | + | 0.212618i | 0.672700 | − | 0.739915i | \(-0.265134\pi\) |
−0.304435 | + | 0.952533i | \(0.598468\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.133485 | + | 0.231203i | 0.00425319 | + | 0.00736674i | ||||
\(986\) | −25.6719 | −0.817560 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 7.25375 | 0.230773 | ||||||||
\(989\) | 2.19404 | − | 1.26673i | 0.0697663 | − | 0.0402796i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 6.93415 | − | 12.0103i | 0.220271 | − | 0.381520i | −0.734620 | − | 0.678479i | \(-0.762639\pi\) |
0.954890 | + | 0.296960i | \(0.0959726\pi\) | |||||||
\(992\) | −4.36654 | − | 7.56307i | −0.138638 | − | 0.240128i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −11.4860 | + | 32.7992i | −0.364314 | + | 1.04033i | ||||
\(995\) | −13.8092 | −0.437783 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −17.1237 | + | 29.6592i | −0.542314 | + | 0.939316i | 0.456456 | + | 0.889746i | \(0.349118\pi\) |
−0.998771 | + | 0.0495700i | \(0.984215\pi\) | |||||||
\(998\) | 15.8732 | + | 9.16441i | 0.502458 | + | 0.290094i | ||||
\(999\) | 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 | 1386.2.bk.d.703.7 | ✓ | 32 | |
3.2 | odd | 2 | inner | 1386.2.bk.d.703.12 | yes | 32 | |
7.5 | odd | 6 | inner | 1386.2.bk.d.901.11 | yes | 32 | |
11.10 | odd | 2 | inner | 1386.2.bk.d.703.11 | yes | 32 | |
21.5 | even | 6 | inner | 1386.2.bk.d.901.8 | yes | 32 | |
33.32 | even | 2 | inner | 1386.2.bk.d.703.8 | yes | 32 | |
77.54 | even | 6 | inner | 1386.2.bk.d.901.7 | yes | 32 | |
231.131 | odd | 6 | inner | 1386.2.bk.d.901.12 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1386.2.bk.d.703.7 | ✓ | 32 | 1.1 | even | 1 | trivial | |
1386.2.bk.d.703.8 | yes | 32 | 33.32 | even | 2 | inner | |
1386.2.bk.d.703.11 | yes | 32 | 11.10 | odd | 2 | inner | |
1386.2.bk.d.703.12 | yes | 32 | 3.2 | odd | 2 | inner | |
1386.2.bk.d.901.7 | yes | 32 | 77.54 | even | 6 | inner | |
1386.2.bk.d.901.8 | yes | 32 | 21.5 | even | 6 | inner | |
1386.2.bk.d.901.11 | yes | 32 | 7.5 | odd | 6 | inner | |
1386.2.bk.d.901.12 | yes | 32 | 231.131 | odd | 6 | inner |