Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,3,Mod(128,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.128");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.n (of order \(6\), degree \(2\), not 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: | \(12.0163796583\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 9) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 128.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.128 |
Dual form | 441.3.n.a.410.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.50000 | − | 0.866025i | 0.750000 | − | 0.433013i | −0.0756939 | − | 0.997131i | \(-0.524117\pi\) |
0.825694 | + | 0.564118i | \(0.190784\pi\) | |||||||
\(3\) | −3.00000 | −1.00000 | ||||||||
\(4\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(5\) | − | 3.46410i | − | 0.692820i | −0.938083 | − | 0.346410i | \(-0.887401\pi\) | ||
0.938083 | − | 0.346410i | \(-0.112599\pi\) | |||||||
\(6\) | −4.50000 | + | 2.59808i | −0.750000 | + | 0.433013i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 8.66025i | 1.08253i | ||||||||
\(9\) | 9.00000 | 1.00000 | ||||||||
\(10\) | −3.00000 | − | 5.19615i | −0.300000 | − | 0.519615i | ||||
\(11\) | 1.73205i | 0.157459i | 0.996896 | + | 0.0787296i | \(0.0250864\pi\) | ||||
−0.996896 | + | 0.0787296i | \(0.974914\pi\) | |||||||
\(12\) | 1.50000 | − | 2.59808i | 0.125000 | − | 0.216506i | ||||
\(13\) | −2.00000 | − | 3.46410i | −0.153846 | − | 0.266469i | 0.778792 | − | 0.627282i | \(-0.215833\pi\) |
−0.932638 | + | 0.360813i | \(0.882499\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 10.3923i | 0.692820i | ||||||||
\(16\) | 5.50000 | + | 9.52628i | 0.343750 | + | 0.595392i | ||||
\(17\) | 13.5000 | − | 7.79423i | 0.794118 | − | 0.458484i | −0.0472925 | − | 0.998881i | \(-0.515059\pi\) |
0.841410 | + | 0.540397i | \(0.181726\pi\) | |||||||
\(18\) | 13.5000 | − | 7.79423i | 0.750000 | − | 0.433013i | ||||
\(19\) | 5.50000 | − | 9.52628i | 0.289474 | − | 0.501383i | −0.684211 | − | 0.729285i | \(-0.739853\pi\) |
0.973684 | + | 0.227901i | \(0.0731864\pi\) | |||||||
\(20\) | 3.00000 | + | 1.73205i | 0.150000 | + | 0.0866025i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.50000 | + | 2.59808i | 0.0681818 | + | 0.118094i | ||||
\(23\) | − | 27.7128i | − | 1.20490i | −0.798155 | − | 0.602452i | \(-0.794190\pi\) | ||
0.798155 | − | 0.602452i | \(-0.205810\pi\) | |||||||
\(24\) | − | 25.9808i | − | 1.08253i | ||||||
\(25\) | 13.0000 | 0.520000 | ||||||||
\(26\) | −6.00000 | − | 3.46410i | −0.230769 | − | 0.133235i | ||||
\(27\) | −27.0000 | −1.00000 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 39.0000 | + | 22.5167i | 1.34483 | + | 0.776437i | 0.987511 | − | 0.157547i | \(-0.0503586\pi\) |
0.357316 | + | 0.933984i | \(0.383692\pi\) | |||||||
\(30\) | 9.00000 | + | 15.5885i | 0.300000 | + | 0.519615i | ||||
\(31\) | 16.0000 | − | 27.7128i | 0.516129 | − | 0.893962i | −0.483696 | − | 0.875236i | \(-0.660706\pi\) |
0.999825 | − | 0.0187254i | \(-0.00596084\pi\) | |||||||
\(32\) | −13.5000 | − | 7.79423i | −0.421875 | − | 0.243570i | ||||
\(33\) | − | 5.19615i | − | 0.157459i | ||||||
\(34\) | 13.5000 | − | 23.3827i | 0.397059 | − | 0.687726i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −4.50000 | + | 7.79423i | −0.125000 | + | 0.216506i | ||||
\(37\) | 17.0000 | − | 29.4449i | 0.459459 | − | 0.795807i | −0.539473 | − | 0.842003i | \(-0.681376\pi\) |
0.998932 | + | 0.0461958i | \(0.0147098\pi\) | |||||||
\(38\) | − | 19.0526i | − | 0.501383i | ||||||
\(39\) | 6.00000 | + | 10.3923i | 0.153846 | + | 0.266469i | ||||
\(40\) | 30.0000 | 0.750000 | ||||||||
\(41\) | 10.5000 | − | 6.06218i | 0.256098 | − | 0.147858i | −0.366456 | − | 0.930436i | \(-0.619429\pi\) |
0.622553 | + | 0.782578i | \(0.286095\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 30.5000 | − | 52.8275i | 0.709302 | − | 1.22855i | −0.255814 | − | 0.966726i | \(-0.582343\pi\) |
0.965116 | − | 0.261822i | \(-0.0843232\pi\) | |||||||
\(44\) | −1.50000 | − | 0.866025i | −0.0340909 | − | 0.0196824i | ||||
\(45\) | − | 31.1769i | − | 0.692820i | ||||||
\(46\) | −24.0000 | − | 41.5692i | −0.521739 | − | 0.903679i | ||||
\(47\) | −42.0000 | + | 24.2487i | −0.893617 | + | 0.515930i | −0.875124 | − | 0.483899i | \(-0.839220\pi\) |
−0.0184931 | + | 0.999829i | \(0.505887\pi\) | |||||||
\(48\) | −16.5000 | − | 28.5788i | −0.343750 | − | 0.595392i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 19.5000 | − | 11.2583i | 0.390000 | − | 0.225167i | ||||
\(51\) | −40.5000 | + | 23.3827i | −0.794118 | + | 0.458484i | ||||
\(52\) | 4.00000 | 0.0769231 | ||||||||
\(53\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(54\) | −40.5000 | + | 23.3827i | −0.750000 | + | 0.433013i | ||||
\(55\) | 6.00000 | 0.109091 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −16.5000 | + | 28.5788i | −0.289474 | + | 0.501383i | ||||
\(58\) | 78.0000 | 1.34483 | ||||||||
\(59\) | 43.5000 | + | 25.1147i | 0.737288 | + | 0.425674i | 0.821082 | − | 0.570810i | \(-0.193371\pi\) |
−0.0837943 | + | 0.996483i | \(0.526704\pi\) | |||||||
\(60\) | −9.00000 | − | 5.19615i | −0.150000 | − | 0.0866025i | ||||
\(61\) | 28.0000 | + | 48.4974i | 0.459016 | + | 0.795040i | 0.998909 | − | 0.0466940i | \(-0.0148686\pi\) |
−0.539893 | + | 0.841734i | \(0.681535\pi\) | |||||||
\(62\) | − | 55.4256i | − | 0.893962i | ||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −71.0000 | −1.10938 | ||||||||
\(65\) | −12.0000 | + | 6.92820i | −0.184615 | + | 0.106588i | ||||
\(66\) | −4.50000 | − | 7.79423i | −0.0681818 | − | 0.118094i | ||||
\(67\) | 15.5000 | − | 26.8468i | 0.231343 | − | 0.400698i | −0.726860 | − | 0.686785i | \(-0.759021\pi\) |
0.958204 | + | 0.286087i | \(0.0923546\pi\) | |||||||
\(68\) | 15.5885i | 0.229242i | ||||||||
\(69\) | 83.1384i | 1.20490i | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 31.1769i | 0.439111i | 0.975600 | + | 0.219556i | \(0.0704608\pi\) | ||||
−0.975600 | + | 0.219556i | \(0.929539\pi\) | |||||||
\(72\) | 77.9423i | 1.08253i | ||||||||
\(73\) | 32.5000 | + | 56.2917i | 0.445205 | + | 0.771119i | 0.998067 | − | 0.0621550i | \(-0.0197973\pi\) |
−0.552861 | + | 0.833273i | \(0.686464\pi\) | |||||||
\(74\) | − | 58.8897i | − | 0.795807i | ||||||
\(75\) | −39.0000 | −0.520000 | ||||||||
\(76\) | 5.50000 | + | 9.52628i | 0.0723684 | + | 0.125346i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 18.0000 | + | 10.3923i | 0.230769 | + | 0.133235i | ||||
\(79\) | −19.0000 | − | 32.9090i | −0.240506 | − | 0.416569i | 0.720352 | − | 0.693608i | \(-0.243980\pi\) |
−0.960859 | + | 0.277039i | \(0.910647\pi\) | |||||||
\(80\) | 33.0000 | − | 19.0526i | 0.412500 | − | 0.238157i | ||||
\(81\) | 81.0000 | 1.00000 | ||||||||
\(82\) | 10.5000 | − | 18.1865i | 0.128049 | − | 0.221787i | ||||
\(83\) | 42.0000 | + | 24.2487i | 0.506024 | + | 0.292153i | 0.731198 | − | 0.682165i | \(-0.238962\pi\) |
−0.225174 | + | 0.974319i | \(0.572295\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −27.0000 | − | 46.7654i | −0.317647 | − | 0.550181i | ||||
\(86\) | − | 105.655i | − | 1.22855i | ||||||
\(87\) | −117.000 | − | 67.5500i | −1.34483 | − | 0.776437i | ||||
\(88\) | −15.0000 | −0.170455 | ||||||||
\(89\) | −108.000 | − | 62.3538i | −1.21348 | − | 0.700605i | −0.249967 | − | 0.968254i | \(-0.580420\pi\) |
−0.963516 | + | 0.267650i | \(0.913753\pi\) | |||||||
\(90\) | −27.0000 | − | 46.7654i | −0.300000 | − | 0.519615i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 24.0000 | + | 13.8564i | 0.260870 | + | 0.150613i | ||||
\(93\) | −48.0000 | + | 83.1384i | −0.516129 | + | 0.893962i | ||||
\(94\) | −42.0000 | + | 72.7461i | −0.446809 | + | 0.773895i | ||||
\(95\) | −33.0000 | − | 19.0526i | −0.347368 | − | 0.200553i | ||||
\(96\) | 40.5000 | + | 23.3827i | 0.421875 | + | 0.243570i | ||||
\(97\) | −57.5000 | + | 99.5929i | −0.592784 | + | 1.02673i | 0.401072 | + | 0.916047i | \(0.368638\pi\) |
−0.993856 | + | 0.110685i | \(0.964696\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 15.5885i | 0.157459i | ||||||||
\(100\) | −6.50000 | + | 11.2583i | −0.0650000 | + | 0.112583i | ||||
\(101\) | 45.0333i | 0.445874i | 0.974833 | + | 0.222937i | \(0.0715645\pi\) | ||||
−0.974833 | + | 0.222937i | \(0.928436\pi\) | |||||||
\(102\) | −40.5000 | + | 70.1481i | −0.397059 | + | 0.687726i | ||||
\(103\) | 40.0000 | 0.388350 | 0.194175 | − | 0.980967i | \(-0.437797\pi\) | ||||
0.194175 | + | 0.980967i | \(0.437797\pi\) | |||||||
\(104\) | 30.0000 | − | 17.3205i | 0.288462 | − | 0.166543i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −121.500 | − | 70.1481i | −1.13551 | − | 0.655589i | −0.190198 | − | 0.981746i | \(-0.560913\pi\) |
−0.945316 | + | 0.326156i | \(0.894246\pi\) | |||||||
\(108\) | 13.5000 | − | 23.3827i | 0.125000 | − | 0.216506i | ||||
\(109\) | 26.0000 | + | 45.0333i | 0.238532 | + | 0.413150i | 0.960293 | − | 0.278992i | \(-0.0900004\pi\) |
−0.721761 | + | 0.692142i | \(0.756667\pi\) | |||||||
\(110\) | 9.00000 | − | 5.19615i | 0.0818182 | − | 0.0472377i | ||||
\(111\) | −51.0000 | + | 88.3346i | −0.459459 | + | 0.795807i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −78.0000 | + | 45.0333i | −0.690265 | + | 0.398525i | −0.803711 | − | 0.595019i | \(-0.797144\pi\) |
0.113446 | + | 0.993544i | \(0.463811\pi\) | |||||||
\(114\) | 57.1577i | 0.501383i | ||||||||
\(115\) | −96.0000 | −0.834783 | ||||||||
\(116\) | −39.0000 | + | 22.5167i | −0.336207 | + | 0.194109i | ||||
\(117\) | −18.0000 | − | 31.1769i | −0.153846 | − | 0.266469i | ||||
\(118\) | 87.0000 | 0.737288 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −90.0000 | −0.750000 | ||||||||
\(121\) | 118.000 | 0.975207 | ||||||||
\(122\) | 84.0000 | + | 48.4974i | 0.688525 | + | 0.397520i | ||||
\(123\) | −31.5000 | + | 18.1865i | −0.256098 | + | 0.147858i | ||||
\(124\) | 16.0000 | + | 27.7128i | 0.129032 | + | 0.223490i | ||||
\(125\) | − | 131.636i | − | 1.05309i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −16.0000 | −0.125984 | −0.0629921 | − | 0.998014i | \(-0.520064\pi\) | ||||
−0.0629921 | + | 0.998014i | \(0.520064\pi\) | |||||||
\(128\) | −52.5000 | + | 30.3109i | −0.410156 | + | 0.236804i | ||||
\(129\) | −91.5000 | + | 158.483i | −0.709302 | + | 1.22855i | ||||
\(130\) | −12.0000 | + | 20.7846i | −0.0923077 | + | 0.159882i | ||||
\(131\) | − | 159.349i | − | 1.21640i | −0.793783 | − | 0.608201i | \(-0.791891\pi\) | ||
0.793783 | − | 0.608201i | \(-0.208109\pi\) | |||||||
\(132\) | 4.50000 | + | 2.59808i | 0.0340909 | + | 0.0196824i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | − | 53.6936i | − | 0.400698i | ||||||
\(135\) | 93.5307i | 0.692820i | ||||||||
\(136\) | 67.5000 | + | 116.913i | 0.496324 | + | 0.859658i | ||||
\(137\) | 188.794i | 1.37806i | 0.724735 | + | 0.689028i | \(0.241962\pi\) | ||||
−0.724735 | + | 0.689028i | \(0.758038\pi\) | |||||||
\(138\) | 72.0000 | + | 124.708i | 0.521739 | + | 0.903679i | ||||
\(139\) | 2.50000 | + | 4.33013i | 0.0179856 | + | 0.0311520i | 0.874878 | − | 0.484343i | \(-0.160941\pi\) |
−0.856893 | + | 0.515495i | \(0.827608\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 126.000 | − | 72.7461i | 0.893617 | − | 0.515930i | ||||
\(142\) | 27.0000 | + | 46.7654i | 0.190141 | + | 0.329334i | ||||
\(143\) | 6.00000 | − | 3.46410i | 0.0419580 | − | 0.0242245i | ||||
\(144\) | 49.5000 | + | 85.7365i | 0.343750 | + | 0.595392i | ||||
\(145\) | 78.0000 | − | 135.100i | 0.537931 | − | 0.931724i | ||||
\(146\) | 97.5000 | + | 56.2917i | 0.667808 | + | 0.385559i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 17.0000 | + | 29.4449i | 0.114865 | + | 0.198952i | ||||
\(149\) | − | 152.420i | − | 1.02296i | −0.859296 | − | 0.511478i | \(-0.829098\pi\) | ||
0.859296 | − | 0.511478i | \(-0.170902\pi\) | |||||||
\(150\) | −58.5000 | + | 33.7750i | −0.390000 | + | 0.225167i | ||||
\(151\) | 20.0000 | 0.132450 | 0.0662252 | − | 0.997805i | \(-0.478904\pi\) | ||||
0.0662252 | + | 0.997805i | \(0.478904\pi\) | |||||||
\(152\) | 82.5000 | + | 47.6314i | 0.542763 | + | 0.313364i | ||||
\(153\) | 121.500 | − | 70.1481i | 0.794118 | − | 0.458484i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −96.0000 | − | 55.4256i | −0.619355 | − | 0.357585i | ||||
\(156\) | −12.0000 | −0.0769231 | ||||||||
\(157\) | −20.0000 | + | 34.6410i | −0.127389 | + | 0.220643i | −0.922664 | − | 0.385605i | \(-0.873993\pi\) |
0.795276 | + | 0.606248i | \(0.207326\pi\) | |||||||
\(158\) | −57.0000 | − | 32.9090i | −0.360759 | − | 0.208285i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −27.0000 | + | 46.7654i | −0.168750 | + | 0.292284i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 121.500 | − | 70.1481i | 0.750000 | − | 0.433013i | ||||
\(163\) | 53.0000 | − | 91.7987i | 0.325153 | − | 0.563182i | −0.656390 | − | 0.754422i | \(-0.727917\pi\) |
0.981543 | + | 0.191240i | \(0.0612507\pi\) | |||||||
\(164\) | 12.1244i | 0.0739290i | ||||||||
\(165\) | −18.0000 | −0.109091 | ||||||||
\(166\) | 84.0000 | 0.506024 | ||||||||
\(167\) | −165.000 | + | 95.2628i | −0.988024 | + | 0.570436i | −0.904683 | − | 0.426085i | \(-0.859892\pi\) |
−0.0833409 | + | 0.996521i | \(0.526559\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 76.5000 | − | 132.502i | 0.452663 | − | 0.784035i | ||||
\(170\) | −81.0000 | − | 46.7654i | −0.476471 | − | 0.275090i | ||||
\(171\) | 49.5000 | − | 85.7365i | 0.289474 | − | 0.501383i | ||||
\(172\) | 30.5000 | + | 52.8275i | 0.177326 | + | 0.307137i | ||||
\(173\) | 201.000 | − | 116.047i | 1.16185 | − | 0.670794i | 0.210103 | − | 0.977679i | \(-0.432620\pi\) |
0.951747 | + | 0.306885i | \(0.0992867\pi\) | |||||||
\(174\) | −234.000 | −1.34483 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −16.5000 | + | 9.52628i | −0.0937500 | + | 0.0541266i | ||||
\(177\) | −130.500 | − | 75.3442i | −0.737288 | − | 0.425674i | ||||
\(178\) | −216.000 | −1.21348 | ||||||||
\(179\) | −54.0000 | + | 31.1769i | −0.301676 | + | 0.174173i | −0.643196 | − | 0.765702i | \(-0.722392\pi\) |
0.341520 | + | 0.939875i | \(0.389058\pi\) | |||||||
\(180\) | 27.0000 | + | 15.5885i | 0.150000 | + | 0.0866025i | ||||
\(181\) | 232.000 | 1.28177 | 0.640884 | − | 0.767638i | \(-0.278568\pi\) | ||||
0.640884 | + | 0.767638i | \(0.278568\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −84.0000 | − | 145.492i | −0.459016 | − | 0.795040i | ||||
\(184\) | 240.000 | 1.30435 | ||||||||
\(185\) | −102.000 | − | 58.8897i | −0.551351 | − | 0.318323i | ||||
\(186\) | 166.277i | 0.893962i | ||||||||
\(187\) | 13.5000 | + | 23.3827i | 0.0721925 | + | 0.125041i | ||||
\(188\) | − | 48.4974i | − | 0.257965i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −66.0000 | −0.347368 | ||||||||
\(191\) | −201.000 | + | 116.047i | −1.05236 | + | 0.607578i | −0.923308 | − | 0.384060i | \(-0.874525\pi\) |
−0.129048 | + | 0.991638i | \(0.541192\pi\) | |||||||
\(192\) | 213.000 | 1.10938 | ||||||||
\(193\) | 132.500 | − | 229.497i | 0.686528 | − | 1.18910i | −0.286425 | − | 0.958103i | \(-0.592467\pi\) |
0.972954 | − | 0.231000i | \(-0.0741996\pi\) | |||||||
\(194\) | 199.186i | 1.02673i | ||||||||
\(195\) | 36.0000 | − | 20.7846i | 0.184615 | − | 0.106588i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 124.708i | − | 0.633034i | −0.948587 | − | 0.316517i | \(-0.897487\pi\) | ||
0.948587 | − | 0.316517i | \(-0.102513\pi\) | |||||||
\(198\) | 13.5000 | + | 23.3827i | 0.0681818 | + | 0.118094i | ||||
\(199\) | 145.000 | + | 251.147i | 0.728643 | + | 1.26205i | 0.957457 | + | 0.288577i | \(0.0931821\pi\) |
−0.228814 | + | 0.973470i | \(0.573485\pi\) | |||||||
\(200\) | 112.583i | 0.562917i | ||||||||
\(201\) | −46.5000 | + | 80.5404i | −0.231343 | + | 0.400698i | ||||
\(202\) | 39.0000 | + | 67.5500i | 0.193069 | + | 0.334406i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | − | 46.7654i | − | 0.229242i | ||||||
\(205\) | −21.0000 | − | 36.3731i | −0.102439 | − | 0.177430i | ||||
\(206\) | 60.0000 | − | 34.6410i | 0.291262 | − | 0.168160i | ||||
\(207\) | − | 249.415i | − | 1.20490i | ||||||
\(208\) | 22.0000 | − | 38.1051i | 0.105769 | − | 0.183198i | ||||
\(209\) | 16.5000 | + | 9.52628i | 0.0789474 | + | 0.0455803i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 47.0000 | + | 81.4064i | 0.222749 | + | 0.385812i | 0.955642 | − | 0.294532i | \(-0.0951637\pi\) |
−0.732893 | + | 0.680344i | \(0.761830\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | − | 93.5307i | − | 0.439111i | ||||||
\(214\) | −243.000 | −1.13551 | ||||||||
\(215\) | −183.000 | − | 105.655i | −0.851163 | − | 0.491419i | ||||
\(216\) | − | 233.827i | − | 1.08253i | ||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 78.0000 | + | 45.0333i | 0.357798 | + | 0.206575i | ||||
\(219\) | −97.5000 | − | 168.875i | −0.445205 | − | 0.771119i | ||||
\(220\) | −3.00000 | + | 5.19615i | −0.0136364 | + | 0.0236189i | ||||
\(221\) | −54.0000 | − | 31.1769i | −0.244344 | − | 0.141072i | ||||
\(222\) | 176.669i | 0.795807i | ||||||||
\(223\) | −26.0000 | + | 45.0333i | −0.116592 | + | 0.201943i | −0.918415 | − | 0.395618i | \(-0.870530\pi\) |
0.801823 | + | 0.597562i | \(0.203864\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 117.000 | 0.520000 | ||||||||
\(226\) | −78.0000 | + | 135.100i | −0.345133 | + | 0.597787i | ||||
\(227\) | − | 188.794i | − | 0.831690i | −0.909436 | − | 0.415845i | \(-0.863486\pi\) | ||
0.909436 | − | 0.415845i | \(-0.136514\pi\) | |||||||
\(228\) | −16.5000 | − | 28.5788i | −0.0723684 | − | 0.125346i | ||||
\(229\) | −266.000 | −1.16157 | −0.580786 | − | 0.814056i | \(-0.697255\pi\) | ||||
−0.580786 | + | 0.814056i | \(0.697255\pi\) | |||||||
\(230\) | −144.000 | + | 83.1384i | −0.626087 | + | 0.361471i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −195.000 | + | 337.750i | −0.840517 | + | 1.45582i | ||||
\(233\) | 175.500 | + | 101.325i | 0.753219 | + | 0.434871i | 0.826856 | − | 0.562414i | \(-0.190127\pi\) |
−0.0736369 | + | 0.997285i | \(0.523461\pi\) | |||||||
\(234\) | −54.0000 | − | 31.1769i | −0.230769 | − | 0.133235i | ||||
\(235\) | 84.0000 | + | 145.492i | 0.357447 | + | 0.619116i | ||||
\(236\) | −43.5000 | + | 25.1147i | −0.184322 | + | 0.106418i | ||||
\(237\) | 57.0000 | + | 98.7269i | 0.240506 | + | 0.416569i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −348.000 | + | 200.918i | −1.45607 | + | 0.840661i | −0.998815 | − | 0.0486764i | \(-0.984500\pi\) |
−0.457252 | + | 0.889337i | \(0.651166\pi\) | |||||||
\(240\) | −99.0000 | + | 57.1577i | −0.412500 | + | 0.238157i | ||||
\(241\) | −119.000 | −0.493776 | −0.246888 | − | 0.969044i | \(-0.579408\pi\) | ||||
−0.246888 | + | 0.969044i | \(0.579408\pi\) | |||||||
\(242\) | 177.000 | − | 102.191i | 0.731405 | − | 0.422277i | ||||
\(243\) | −243.000 | −1.00000 | ||||||||
\(244\) | −56.0000 | −0.229508 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −31.5000 | + | 54.5596i | −0.128049 | + | 0.221787i | ||||
\(247\) | −44.0000 | −0.178138 | ||||||||
\(248\) | 240.000 | + | 138.564i | 0.967742 | + | 0.558726i | ||||
\(249\) | −126.000 | − | 72.7461i | −0.506024 | − | 0.292153i | ||||
\(250\) | −114.000 | − | 197.454i | −0.456000 | − | 0.789815i | ||||
\(251\) | − | 389.711i | − | 1.55264i | −0.630342 | − | 0.776318i | \(-0.717085\pi\) | ||
0.630342 | − | 0.776318i | \(-0.282915\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 48.0000 | 0.189723 | ||||||||
\(254\) | −24.0000 | + | 13.8564i | −0.0944882 | + | 0.0545528i | ||||
\(255\) | 81.0000 | + | 140.296i | 0.317647 | + | 0.550181i | ||||
\(256\) | 89.5000 | − | 155.019i | 0.349609 | − | 0.605541i | ||||
\(257\) | − | 174.937i | − | 0.680689i | −0.940301 | − | 0.340345i | \(-0.889456\pi\) | ||
0.940301 | − | 0.340345i | \(-0.110544\pi\) | |||||||
\(258\) | 316.965i | 1.22855i | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | − | 13.8564i | − | 0.0532939i | ||||||
\(261\) | 351.000 | + | 202.650i | 1.34483 | + | 0.776437i | ||||
\(262\) | −138.000 | − | 239.023i | −0.526718 | − | 0.912302i | ||||
\(263\) | − | 45.0333i | − | 0.171229i | −0.996328 | − | 0.0856147i | \(-0.972715\pi\) | ||
0.996328 | − | 0.0856147i | \(-0.0272854\pi\) | |||||||
\(264\) | 45.0000 | 0.170455 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 324.000 | + | 187.061i | 1.21348 | + | 0.700605i | ||||
\(268\) | 15.5000 | + | 26.8468i | 0.0578358 | + | 0.100175i | ||||
\(269\) | −162.000 | + | 93.5307i | −0.602230 | + | 0.347698i | −0.769919 | − | 0.638142i | \(-0.779703\pi\) |
0.167688 | + | 0.985840i | \(0.446370\pi\) | |||||||
\(270\) | 81.0000 | + | 140.296i | 0.300000 | + | 0.519615i | ||||
\(271\) | −134.000 | + | 232.095i | −0.494465 | + | 0.856438i | −0.999980 | − | 0.00637958i | \(-0.997969\pi\) |
0.505515 | + | 0.862818i | \(0.331303\pi\) | |||||||
\(272\) | 148.500 | + | 85.7365i | 0.545956 | + | 0.315208i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 163.500 | + | 283.190i | 0.596715 | + | 1.03354i | ||||
\(275\) | 22.5167i | 0.0818788i | ||||||||
\(276\) | −72.0000 | − | 41.5692i | −0.260870 | − | 0.150613i | ||||
\(277\) | 56.0000 | 0.202166 | 0.101083 | − | 0.994878i | \(-0.467769\pi\) | ||||
0.101083 | + | 0.994878i | \(0.467769\pi\) | |||||||
\(278\) | 7.50000 | + | 4.33013i | 0.0269784 | + | 0.0155760i | ||||
\(279\) | 144.000 | − | 249.415i | 0.516129 | − | 0.893962i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −42.0000 | − | 24.2487i | −0.149466 | − | 0.0862943i | 0.423402 | − | 0.905942i | \(-0.360836\pi\) |
−0.572868 | + | 0.819648i | \(0.694169\pi\) | |||||||
\(282\) | 126.000 | − | 218.238i | 0.446809 | − | 0.773895i | ||||
\(283\) | 187.000 | − | 323.894i | 0.660777 | − | 1.14450i | −0.319634 | − | 0.947541i | \(-0.603560\pi\) |
0.980412 | − | 0.196959i | \(-0.0631066\pi\) | |||||||
\(284\) | −27.0000 | − | 15.5885i | −0.0950704 | − | 0.0548889i | ||||
\(285\) | 99.0000 | + | 57.1577i | 0.347368 | + | 0.200553i | ||||
\(286\) | 6.00000 | − | 10.3923i | 0.0209790 | − | 0.0363367i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −121.500 | − | 70.1481i | −0.421875 | − | 0.243570i | ||||
\(289\) | −23.0000 | + | 39.8372i | −0.0795848 | + | 0.137845i | ||||
\(290\) | − | 270.200i | − | 0.931724i | ||||||
\(291\) | 172.500 | − | 298.779i | 0.592784 | − | 1.02673i | ||||
\(292\) | −65.0000 | −0.222603 | ||||||||
\(293\) | −219.000 | + | 126.440i | −0.747440 | + | 0.431535i | −0.824768 | − | 0.565471i | \(-0.808694\pi\) |
0.0773280 | + | 0.997006i | \(0.475361\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 87.0000 | − | 150.688i | 0.294915 | − | 0.510808i | ||||
\(296\) | 255.000 | + | 147.224i | 0.861486 | + | 0.497379i | ||||
\(297\) | − | 46.7654i | − | 0.157459i | ||||||
\(298\) | −132.000 | − | 228.631i | −0.442953 | − | 0.767217i | ||||
\(299\) | −96.0000 | + | 55.4256i | −0.321070 | + | 0.185370i | ||||
\(300\) | 19.5000 | − | 33.7750i | 0.0650000 | − | 0.112583i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 30.0000 | − | 17.3205i | 0.0993377 | − | 0.0573527i | ||||
\(303\) | − | 135.100i | − | 0.445874i | ||||||
\(304\) | 121.000 | 0.398026 | ||||||||
\(305\) | 168.000 | − | 96.9948i | 0.550820 | − | 0.318016i | ||||
\(306\) | 121.500 | − | 210.444i | 0.397059 | − | 0.687726i | ||||
\(307\) | −533.000 | −1.73616 | −0.868078 | − | 0.496428i | \(-0.834645\pi\) | ||||
−0.868078 | + | 0.496428i | \(0.834645\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −120.000 | −0.388350 | ||||||||
\(310\) | −192.000 | −0.619355 | ||||||||
\(311\) | −213.000 | − | 122.976i | −0.684887 | − | 0.395420i | 0.116806 | − | 0.993155i | \(-0.462734\pi\) |
−0.801694 | + | 0.597735i | \(0.796068\pi\) | |||||||
\(312\) | −90.0000 | + | 51.9615i | −0.288462 | + | 0.166543i | ||||
\(313\) | 77.5000 | + | 134.234i | 0.247604 | + | 0.428862i | 0.962860 | − | 0.269999i | \(-0.0870235\pi\) |
−0.715257 | + | 0.698862i | \(0.753690\pi\) | |||||||
\(314\) | 69.2820i | 0.220643i | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 38.0000 | 0.120253 | ||||||||
\(317\) | 42.0000 | − | 24.2487i | 0.132492 | − | 0.0764944i | −0.432289 | − | 0.901735i | \(-0.642294\pi\) |
0.564781 | + | 0.825241i | \(0.308961\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −39.0000 | + | 67.5500i | −0.122257 | + | 0.211755i | ||||
\(320\) | 245.951i | 0.768598i | ||||||||
\(321\) | 364.500 | + | 210.444i | 1.13551 | + | 0.655589i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 171.473i | − | 0.530876i | ||||||
\(324\) | −40.5000 | + | 70.1481i | −0.125000 | + | 0.216506i | ||||
\(325\) | −26.0000 | − | 45.0333i | −0.0800000 | − | 0.138564i | ||||
\(326\) | − | 183.597i | − | 0.563182i | ||||||
\(327\) | −78.0000 | − | 135.100i | −0.238532 | − | 0.413150i | ||||
\(328\) | 52.5000 | + | 90.9327i | 0.160061 | + | 0.277234i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −27.0000 | + | 15.5885i | −0.0818182 | + | 0.0472377i | ||||
\(331\) | −1.00000 | − | 1.73205i | −0.00302115 | − | 0.00523278i | 0.864511 | − | 0.502614i | \(-0.167628\pi\) |
−0.867532 | + | 0.497381i | \(0.834295\pi\) | |||||||
\(332\) | −42.0000 | + | 24.2487i | −0.126506 | + | 0.0730383i | ||||
\(333\) | 153.000 | − | 265.004i | 0.459459 | − | 0.795807i | ||||
\(334\) | −165.000 | + | 285.788i | −0.494012 | + | 0.855654i | ||||
\(335\) | −93.0000 | − | 53.6936i | −0.277612 | − | 0.160279i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −38.5000 | − | 66.6840i | −0.114243 | − | 0.197875i | 0.803234 | − | 0.595664i | \(-0.203111\pi\) |
−0.917477 | + | 0.397789i | \(0.869778\pi\) | |||||||
\(338\) | − | 265.004i | − | 0.784035i | ||||||
\(339\) | 234.000 | − | 135.100i | 0.690265 | − | 0.398525i | ||||
\(340\) | 54.0000 | 0.158824 | ||||||||
\(341\) | 48.0000 | + | 27.7128i | 0.140762 | + | 0.0812692i | ||||
\(342\) | − | 171.473i | − | 0.501383i | ||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 457.500 | + | 264.138i | 1.32994 | + | 0.767842i | ||||
\(345\) | 288.000 | 0.834783 | ||||||||
\(346\) | 201.000 | − | 348.142i | 0.580925 | − | 1.00619i | ||||
\(347\) | −97.5000 | − | 56.2917i | −0.280980 | − | 0.162224i | 0.352887 | − | 0.935666i | \(-0.385200\pi\) |
−0.633867 | + | 0.773442i | \(0.718533\pi\) | |||||||
\(348\) | 117.000 | − | 67.5500i | 0.336207 | − | 0.194109i | ||||
\(349\) | 208.000 | − | 360.267i | 0.595989 | − | 1.03228i | −0.397418 | − | 0.917638i | \(-0.630094\pi\) |
0.993407 | − | 0.114645i | \(-0.0365730\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 54.0000 | + | 93.5307i | 0.153846 | + | 0.266469i | ||||
\(352\) | 13.5000 | − | 23.3827i | 0.0383523 | − | 0.0664281i | ||||
\(353\) | − | 1.73205i | − | 0.00490666i | −0.999997 | − | 0.00245333i | \(-0.999219\pi\) | ||
0.999997 | − | 0.00245333i | \(-0.000780920\pi\) | |||||||
\(354\) | −261.000 | −0.737288 | ||||||||
\(355\) | 108.000 | 0.304225 | ||||||||
\(356\) | 108.000 | − | 62.3538i | 0.303371 | − | 0.175151i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −54.0000 | + | 93.5307i | −0.150838 | + | 0.261259i | ||||
\(359\) | 513.000 | + | 296.181i | 1.42897 | + | 0.825016i | 0.997039 | − | 0.0768913i | \(-0.0244995\pi\) |
0.431930 | + | 0.901907i | \(0.357833\pi\) | |||||||
\(360\) | 270.000 | 0.750000 | ||||||||
\(361\) | 120.000 | + | 207.846i | 0.332410 | + | 0.575751i | ||||
\(362\) | 348.000 | − | 200.918i | 0.961326 | − | 0.555022i | ||||
\(363\) | −354.000 | −0.975207 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 195.000 | − | 112.583i | 0.534247 | − | 0.308447i | ||||
\(366\) | −252.000 | − | 145.492i | −0.688525 | − | 0.397520i | ||||
\(367\) | 358.000 | 0.975477 | 0.487738 | − | 0.872990i | \(-0.337822\pi\) | ||||
0.487738 | + | 0.872990i | \(0.337822\pi\) | |||||||
\(368\) | 264.000 | − | 152.420i | 0.717391 | − | 0.414186i | ||||
\(369\) | 94.5000 | − | 54.5596i | 0.256098 | − | 0.147858i | ||||
\(370\) | −204.000 | −0.551351 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −48.0000 | − | 83.1384i | −0.129032 | − | 0.223490i | ||||
\(373\) | −580.000 | −1.55496 | −0.777480 | − | 0.628908i | \(-0.783502\pi\) | ||||
−0.777480 | + | 0.628908i | \(0.783502\pi\) | |||||||
\(374\) | 40.5000 | + | 23.3827i | 0.108289 | + | 0.0625206i | ||||
\(375\) | 394.908i | 1.05309i | ||||||||
\(376\) | −210.000 | − | 363.731i | −0.558511 | − | 0.967369i | ||||
\(377\) | − | 180.133i | − | 0.477807i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 83.0000 | 0.218997 | 0.109499 | − | 0.993987i | \(-0.465075\pi\) | ||||
0.109499 | + | 0.993987i | \(0.465075\pi\) | |||||||
\(380\) | 33.0000 | − | 19.0526i | 0.0868421 | − | 0.0501383i | ||||
\(381\) | 48.0000 | 0.125984 | ||||||||
\(382\) | −201.000 | + | 348.142i | −0.526178 | + | 0.911367i | ||||
\(383\) | 557.720i | 1.45619i | 0.685477 | + | 0.728094i | \(0.259594\pi\) | ||||
−0.685477 | + | 0.728094i | \(0.740406\pi\) | |||||||
\(384\) | 157.500 | − | 90.9327i | 0.410156 | − | 0.236804i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 458.993i | − | 1.18910i | ||||||
\(387\) | 274.500 | − | 475.448i | 0.709302 | − | 1.22855i | ||||
\(388\) | −57.5000 | − | 99.5929i | −0.148196 | − | 0.256683i | ||||
\(389\) | 516.151i | 1.32687i | 0.748235 | + | 0.663433i | \(0.230901\pi\) | ||||
−0.748235 | + | 0.663433i | \(0.769099\pi\) | |||||||
\(390\) | 36.0000 | − | 62.3538i | 0.0923077 | − | 0.159882i | ||||
\(391\) | −216.000 | − | 374.123i | −0.552430 | − | 0.956836i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 478.046i | 1.21640i | ||||||||
\(394\) | −108.000 | − | 187.061i | −0.274112 | − | 0.474775i | ||||
\(395\) | −114.000 | + | 65.8179i | −0.288608 | + | 0.166628i | ||||
\(396\) | −13.5000 | − | 7.79423i | −0.0340909 | − | 0.0196824i | ||||
\(397\) | 181.000 | − | 313.501i | 0.455919 | − | 0.789676i | −0.542821 | − | 0.839848i | \(-0.682644\pi\) |
0.998741 | + | 0.0501728i | \(0.0159772\pi\) | |||||||
\(398\) | 435.000 | + | 251.147i | 1.09296 | + | 0.631024i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 71.5000 | + | 123.842i | 0.178750 | + | 0.309604i | ||||
\(401\) | 393.176i | 0.980488i | 0.871585 | + | 0.490244i | \(0.163092\pi\) | ||||
−0.871585 | + | 0.490244i | \(0.836908\pi\) | |||||||
\(402\) | 161.081i | 0.400698i | ||||||||
\(403\) | −128.000 | −0.317618 | ||||||||
\(404\) | −39.0000 | − | 22.5167i | −0.0965347 | − | 0.0557343i | ||||
\(405\) | − | 280.592i | − | 0.692820i | ||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 51.0000 | + | 29.4449i | 0.125307 | + | 0.0723461i | ||||
\(408\) | −202.500 | − | 350.740i | −0.496324 | − | 0.859658i | ||||
\(409\) | 110.500 | − | 191.392i | 0.270171 | − | 0.467950i | −0.698734 | − | 0.715381i | \(-0.746253\pi\) |
0.968905 | + | 0.247431i | \(0.0795864\pi\) | |||||||
\(410\) | −63.0000 | − | 36.3731i | −0.153659 | − | 0.0887148i | ||||
\(411\) | − | 566.381i | − | 1.37806i | ||||||
\(412\) | −20.0000 | + | 34.6410i | −0.0485437 | + | 0.0840801i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −216.000 | − | 374.123i | −0.521739 | − | 0.903679i | ||||
\(415\) | 84.0000 | − | 145.492i | 0.202410 | − | 0.350584i | ||||
\(416\) | 62.3538i | 0.149889i | ||||||||
\(417\) | −7.50000 | − | 12.9904i | −0.0179856 | − | 0.0311520i | ||||
\(418\) | 33.0000 | 0.0789474 | ||||||||
\(419\) | −678.000 | + | 391.443i | −1.61814 | + | 0.934233i | −0.630737 | + | 0.775997i | \(0.717247\pi\) |
−0.987401 | + | 0.158236i | \(0.949419\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 341.000 | − | 590.629i | 0.809976 | − | 1.40292i | −0.102903 | − | 0.994691i | \(-0.532813\pi\) |
0.912880 | − | 0.408229i | \(-0.133853\pi\) | |||||||
\(422\) | 141.000 | + | 81.4064i | 0.334123 | + | 0.192906i | ||||
\(423\) | −378.000 | + | 218.238i | −0.893617 | + | 0.515930i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 175.500 | − | 101.325i | 0.412941 | − | 0.238412i | ||||
\(426\) | −81.0000 | − | 140.296i | −0.190141 | − | 0.329334i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 121.500 | − | 70.1481i | 0.283879 | − | 0.163897i | ||||
\(429\) | −18.0000 | + | 10.3923i | −0.0419580 | + | 0.0242245i | ||||
\(430\) | −366.000 | −0.851163 | ||||||||
\(431\) | 243.000 | − | 140.296i | 0.563805 | − | 0.325513i | −0.190866 | − | 0.981616i | \(-0.561130\pi\) |
0.754671 | + | 0.656103i | \(0.227796\pi\) | |||||||
\(432\) | −148.500 | − | 257.210i | −0.343750 | − | 0.595392i | ||||
\(433\) | 295.000 | 0.681293 | 0.340647 | − | 0.940191i | \(-0.389354\pi\) | ||||
0.340647 | + | 0.940191i | \(0.389354\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −234.000 | + | 405.300i | −0.537931 | + | 0.931724i | ||||
\(436\) | −52.0000 | −0.119266 | ||||||||
\(437\) | −264.000 | − | 152.420i | −0.604119 | − | 0.348788i | ||||
\(438\) | −292.500 | − | 168.875i | −0.667808 | − | 0.385559i | ||||
\(439\) | 406.000 | + | 703.213i | 0.924829 | + | 1.60185i | 0.791836 | + | 0.610734i | \(0.209126\pi\) |
0.132993 | + | 0.991117i | \(0.457541\pi\) | |||||||
\(440\) | 51.9615i | 0.118094i | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −108.000 | −0.244344 | ||||||||
\(443\) | −79.5000 | + | 45.8993i | −0.179458 | + | 0.103610i | −0.587038 | − | 0.809559i | \(-0.699706\pi\) |
0.407580 | + | 0.913170i | \(0.366373\pi\) | |||||||
\(444\) | −51.0000 | − | 88.3346i | −0.114865 | − | 0.198952i | ||||
\(445\) | −216.000 | + | 374.123i | −0.485393 | + | 0.840726i | ||||
\(446\) | 90.0666i | 0.201943i | ||||||||
\(447\) | 457.261i | 1.02296i | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 639.127i | 1.42344i | 0.702461 | + | 0.711722i | \(0.252085\pi\) | ||||
−0.702461 | + | 0.711722i | \(0.747915\pi\) | |||||||
\(450\) | 175.500 | − | 101.325i | 0.390000 | − | 0.225167i | ||||
\(451\) | 10.5000 | + | 18.1865i | 0.0232816 | + | 0.0403249i | ||||
\(452\) | − | 90.0666i | − | 0.199262i | ||||||
\(453\) | −60.0000 | −0.132450 | ||||||||
\(454\) | −163.500 | − | 283.190i | −0.360132 | − | 0.623767i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −247.500 | − | 142.894i | −0.542763 | − | 0.313364i | ||||
\(457\) | −32.5000 | − | 56.2917i | −0.0711160 | − | 0.123176i | 0.828275 | − | 0.560322i | \(-0.189323\pi\) |
−0.899391 | + | 0.437146i | \(0.855989\pi\) | |||||||
\(458\) | −399.000 | + | 230.363i | −0.871179 | + | 0.502975i | ||||
\(459\) | −364.500 | + | 210.444i | −0.794118 | + | 0.458484i | ||||
\(460\) | 48.0000 | − | 83.1384i | 0.104348 | − | 0.180736i | ||||
\(461\) | 690.000 | + | 398.372i | 1.49675 | + | 0.864147i | 0.999993 | − | 0.00374501i | \(-0.00119208\pi\) |
0.496753 | + | 0.867892i | \(0.334525\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −367.000 | − | 635.663i | −0.792657 | − | 1.37292i | −0.924317 | − | 0.381627i | \(-0.875364\pi\) |
0.131660 | − | 0.991295i | \(-0.457969\pi\) | |||||||
\(464\) | 495.367i | 1.06760i | ||||||||
\(465\) | 288.000 | + | 166.277i | 0.619355 | + | 0.357585i | ||||
\(466\) | 351.000 | 0.753219 | ||||||||
\(467\) | 175.500 | + | 101.325i | 0.375803 | + | 0.216970i | 0.675991 | − | 0.736910i | \(-0.263716\pi\) |
−0.300188 | + | 0.953880i | \(0.597049\pi\) | |||||||
\(468\) | 36.0000 | 0.0769231 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 252.000 | + | 145.492i | 0.536170 | + | 0.309558i | ||||
\(471\) | 60.0000 | − | 103.923i | 0.127389 | − | 0.220643i | ||||
\(472\) | −217.500 | + | 376.721i | −0.460805 | + | 0.798138i | ||||
\(473\) | 91.5000 | + | 52.8275i | 0.193446 | + | 0.111686i | ||||
\(474\) | 171.000 | + | 98.7269i | 0.360759 | + | 0.208285i | ||||
\(475\) | 71.5000 | − | 123.842i | 0.150526 | − | 0.260719i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −348.000 | + | 602.754i | −0.728033 | + | 1.26099i | ||||
\(479\) | 606.218i | 1.26559i | 0.774319 | + | 0.632795i | \(0.218092\pi\) | ||||
−0.774319 | + | 0.632795i | \(0.781908\pi\) | |||||||
\(480\) | 81.0000 | − | 140.296i | 0.168750 | − | 0.292284i | ||||
\(481\) | −136.000 | −0.282744 | ||||||||
\(482\) | −178.500 | + | 103.057i | −0.370332 | + | 0.213811i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −59.0000 | + | 102.191i | −0.121901 | + | 0.211138i | ||||
\(485\) | 345.000 | + | 199.186i | 0.711340 | + | 0.410692i | ||||
\(486\) | −364.500 | + | 210.444i | −0.750000 | + | 0.433013i | ||||
\(487\) | 53.0000 | + | 91.7987i | 0.108830 | + | 0.188498i | 0.915296 | − | 0.402781i | \(-0.131956\pi\) |
−0.806467 | + | 0.591279i | \(0.798623\pi\) | |||||||
\(488\) | −420.000 | + | 242.487i | −0.860656 | + | 0.496900i | ||||
\(489\) | −159.000 | + | 275.396i | −0.325153 | + | 0.563182i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −199.500 | + | 115.181i | −0.406314 | + | 0.234585i | −0.689205 | − | 0.724567i | \(-0.742040\pi\) |
0.282891 | + | 0.959152i | \(0.408707\pi\) | |||||||
\(492\) | − | 36.3731i | − | 0.0739290i | ||||||
\(493\) | 702.000 | 1.42394 | ||||||||
\(494\) | −66.0000 | + | 38.1051i | −0.133603 | + | 0.0771359i | ||||
\(495\) | 54.0000 | 0.109091 | ||||||||
\(496\) | 352.000 | 0.709677 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −252.000 | −0.506024 | ||||||||
\(499\) | −787.000 | −1.57715 | −0.788577 | − | 0.614936i | \(-0.789182\pi\) | ||||
−0.788577 | + | 0.614936i | \(0.789182\pi\) | |||||||
\(500\) | 114.000 | + | 65.8179i | 0.228000 | + | 0.131636i | ||||
\(501\) | 495.000 | − | 285.788i | 0.988024 | − | 0.570436i | ||||
\(502\) | −337.500 | − | 584.567i | −0.672311 | − | 1.16448i | ||||
\(503\) | 623.538i | 1.23964i | 0.784745 | + | 0.619819i | \(0.212794\pi\) | ||||
−0.784745 | + | 0.619819i | \(0.787206\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 156.000 | 0.308911 | ||||||||
\(506\) | 72.0000 | − | 41.5692i | 0.142292 | − | 0.0821526i | ||||
\(507\) | −229.500 | + | 397.506i | −0.452663 | + | 0.784035i | ||||
\(508\) | 8.00000 | − | 13.8564i | 0.0157480 | − | 0.0272764i | ||||
\(509\) | 214.774i | 0.421953i | 0.977491 | + | 0.210977i | \(0.0676644\pi\) | ||||
−0.977491 | + | 0.210977i | \(0.932336\pi\) | |||||||
\(510\) | 243.000 | + | 140.296i | 0.476471 | + | 0.275090i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | − | 552.524i | − | 1.07915i | ||||||
\(513\) | −148.500 | + | 257.210i | −0.289474 | + | 0.501383i | ||||
\(514\) | −151.500 | − | 262.406i | −0.294747 | − | 0.510517i | ||||
\(515\) | − | 138.564i | − | 0.269056i | ||||||
\(516\) | −91.5000 | − | 158.483i | −0.177326 | − | 0.307137i | ||||
\(517\) | −42.0000 | − | 72.7461i | −0.0812379 | − | 0.140708i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −603.000 | + | 348.142i | −1.16185 | + | 0.670794i | ||||
\(520\) | −60.0000 | − | 103.923i | −0.115385 | − | 0.199852i | ||||
\(521\) | −175.500 | + | 101.325i | −0.336852 | + | 0.194482i | −0.658879 | − | 0.752249i | \(-0.728969\pi\) |
0.322027 | + | 0.946730i | \(0.395636\pi\) | |||||||
\(522\) | 702.000 | 1.34483 | ||||||||
\(523\) | −125.000 | + | 216.506i | −0.239006 | + | 0.413970i | −0.960429 | − | 0.278524i | \(-0.910155\pi\) |
0.721424 | + | 0.692494i | \(0.243488\pi\) | |||||||
\(524\) | 138.000 | + | 79.6743i | 0.263359 | + | 0.152050i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −39.0000 | − | 67.5500i | −0.0741445 | − | 0.128422i | ||||
\(527\) | − | 498.831i | − | 0.946548i | ||||||
\(528\) | 49.5000 | − | 28.5788i | 0.0937500 | − | 0.0541266i | ||||
\(529\) | −239.000 | −0.451796 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 391.500 | + | 226.033i | 0.737288 | + | 0.425674i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −42.0000 | − | 24.2487i | −0.0787992 | − | 0.0454948i | ||||
\(534\) | 648.000 | 1.21348 | ||||||||
\(535\) | −243.000 | + | 420.888i | −0.454206 | + | 0.786707i | ||||
\(536\) | 232.500 | + | 134.234i | 0.433769 | + | 0.250436i | ||||
\(537\) | 162.000 | − | 93.5307i | 0.301676 | − | 0.174173i | ||||
\(538\) | −162.000 | + | 280.592i | −0.301115 | + | 0.521547i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −81.0000 | − | 46.7654i | −0.150000 | − | 0.0866025i | ||||
\(541\) | −325.000 | + | 562.917i | −0.600739 | + | 1.04051i | 0.391970 | + | 0.919978i | \(0.371794\pi\) |
−0.992709 | + | 0.120533i | \(0.961540\pi\) | |||||||
\(542\) | 464.190i | 0.856438i | ||||||||
\(543\) | −696.000 | −1.28177 | ||||||||
\(544\) | −243.000 | −0.446691 | ||||||||
\(545\) | 156.000 | − | 90.0666i | 0.286239 | − | 0.165260i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −311.500 | + | 539.534i | −0.569470 | + | 0.986351i | 0.427149 | + | 0.904181i | \(0.359518\pi\) |
−0.996618 | + | 0.0821692i | \(0.973815\pi\) | |||||||
\(548\) | −163.500 | − | 94.3968i | −0.298358 | − | 0.172257i | ||||
\(549\) | 252.000 | + | 436.477i | 0.459016 | + | 0.795040i | ||||
\(550\) | 19.5000 | + | 33.7750i | 0.0354545 | + | 0.0614091i | ||||
\(551\) | 429.000 | − | 247.683i | 0.778584 | − | 0.449516i | ||||
\(552\) | −720.000 | −1.30435 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 84.0000 | − | 48.4974i | 0.151625 | − | 0.0875405i | ||||
\(555\) | 306.000 | + | 176.669i | 0.551351 | + | 0.318323i | ||||
\(556\) | −5.00000 | −0.00899281 | ||||||||
\(557\) | −459.000 | + | 265.004i | −0.824057 | + | 0.475770i | −0.851814 | − | 0.523845i | \(-0.824497\pi\) |
0.0277562 | + | 0.999615i | \(0.491164\pi\) | |||||||
\(558\) | − | 498.831i | − | 0.893962i | ||||||
\(559\) | −244.000 | −0.436494 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −40.5000 | − | 70.1481i | −0.0721925 | − | 0.125041i | ||||
\(562\) | −84.0000 | −0.149466 | ||||||||
\(563\) | 97.5000 | + | 56.2917i | 0.173179 | + | 0.0999852i | 0.584084 | − | 0.811693i | \(-0.301454\pi\) |
−0.410905 | + | 0.911678i | \(0.634787\pi\) | |||||||
\(564\) | 145.492i | 0.257965i | ||||||||
\(565\) | 156.000 | + | 270.200i | 0.276106 | + | 0.478230i | ||||
\(566\) | − | 647.787i | − | 1.14450i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −270.000 | −0.475352 | ||||||||
\(569\) | −565.500 | + | 326.492i | −0.993849 | + | 0.573799i | −0.906423 | − | 0.422372i | \(-0.861198\pi\) |
−0.0874263 | + | 0.996171i | \(0.527864\pi\) | |||||||
\(570\) | 198.000 | 0.347368 | ||||||||
\(571\) | −272.500 | + | 471.984i | −0.477233 | + | 0.826592i | −0.999660 | − | 0.0260926i | \(-0.991694\pi\) |
0.522427 | + | 0.852684i | \(0.325027\pi\) | |||||||
\(572\) | 6.92820i | 0.0121122i | ||||||||
\(573\) | 603.000 | − | 348.142i | 1.05236 | − | 0.607578i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | − | 360.267i | − | 0.626551i | ||||||
\(576\) | −639.000 | −1.10938 | ||||||||
\(577\) | −435.500 | − | 754.308i | −0.754766 | − | 1.30729i | −0.945491 | − | 0.325650i | \(-0.894417\pi\) |
0.190725 | − | 0.981644i | \(-0.438916\pi\) | |||||||
\(578\) | 79.6743i | 0.137845i | ||||||||
\(579\) | −397.500 | + | 688.490i | −0.686528 | + | 1.18910i | ||||
\(580\) | 78.0000 | + | 135.100i | 0.134483 | + | 0.232931i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | − | 597.558i | − | 1.02673i | ||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −487.500 | + | 281.458i | −0.834760 | + | 0.481949i | ||||
\(585\) | −108.000 | + | 62.3538i | −0.184615 | + | 0.106588i | ||||
\(586\) | −219.000 | + | 379.319i | −0.373720 | + | 0.647302i | ||||
\(587\) | 1.50000 | + | 0.866025i | 0.00255537 | + | 0.00147534i | 0.501277 | − | 0.865287i | \(-0.332864\pi\) |
−0.498722 | + | 0.866762i | \(0.666197\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −176.000 | − | 304.841i | −0.298812 | − | 0.517557i | ||||
\(590\) | − | 301.377i | − | 0.510808i | ||||||
\(591\) | 374.123i | 0.633034i | ||||||||
\(592\) | 374.000 | 0.631757 | ||||||||
\(593\) | −162.000 | − | 93.5307i | −0.273187 | − | 0.157725i | 0.357148 | − | 0.934048i | \(-0.383749\pi\) |
−0.630335 | + | 0.776323i | \(0.717083\pi\) | |||||||
\(594\) | −40.5000 | − | 70.1481i | −0.0681818 | − | 0.118094i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 132.000 | + | 76.2102i | 0.221477 | + | 0.127870i | ||||
\(597\) | −435.000 | − | 753.442i | −0.728643 | − | 1.26205i | ||||
\(598\) | −96.0000 | + | 166.277i | −0.160535 | + | 0.278055i | ||||
\(599\) | −489.000 | − | 282.324i | −0.816361 | − | 0.471326i | 0.0327992 | − | 0.999462i | \(-0.489558\pi\) |
−0.849160 | + | 0.528136i | \(0.822891\pi\) | |||||||
\(600\) | − | 337.750i | − | 0.562917i | ||||||
\(601\) | 230.500 | − | 399.238i | 0.383527 | − | 0.664289i | −0.608036 | − | 0.793909i | \(-0.708042\pi\) |
0.991564 | + | 0.129620i | \(0.0413758\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 139.500 | − | 241.621i | 0.231343 | − | 0.400698i | ||||
\(604\) | −10.0000 | + | 17.3205i | −0.0165563 | + | 0.0286763i | ||||
\(605\) | − | 408.764i | − | 0.675643i | ||||||
\(606\) | −117.000 | − | 202.650i | −0.193069 | − | 0.334406i | ||||
\(607\) | 112.000 | 0.184514 | 0.0922570 | − | 0.995735i | \(-0.470592\pi\) | ||||
0.0922570 | + | 0.995735i | \(0.470592\pi\) | |||||||
\(608\) | −148.500 | + | 85.7365i | −0.244243 | + | 0.141014i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 168.000 | − | 290.985i | 0.275410 | − | 0.477024i | ||||
\(611\) | 168.000 | + | 96.9948i | 0.274959 | + | 0.158748i | ||||
\(612\) | 140.296i | 0.229242i | ||||||||
\(613\) | −451.000 | − | 781.155i | −0.735726 | − | 1.27431i | −0.954404 | − | 0.298518i | \(-0.903508\pi\) |
0.218678 | − | 0.975797i | \(-0.429826\pi\) | |||||||
\(614\) | −799.500 | + | 461.592i | −1.30212 | + | 0.751778i | ||||
\(615\) | 63.0000 | + | 109.119i | 0.102439 | + | 0.177430i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −307.500 | + | 177.535i | −0.498379 | + | 0.287739i | −0.728044 | − | 0.685530i | \(-0.759570\pi\) |
0.229665 | + | 0.973270i | \(0.426237\pi\) | |||||||
\(618\) | −180.000 | + | 103.923i | −0.291262 | + | 0.168160i | ||||
\(619\) | 799.000 | 1.29079 | 0.645396 | − | 0.763848i | \(-0.276692\pi\) | ||||
0.645396 | + | 0.763848i | \(0.276692\pi\) | |||||||
\(620\) | 96.0000 | − | 55.4256i | 0.154839 | − | 0.0893962i | ||||
\(621\) | 748.246i | 1.20490i | ||||||||
\(622\) | −426.000 | −0.684887 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −66.0000 | + | 114.315i | −0.105769 | + | 0.183198i | ||||
\(625\) | −131.000 | −0.209600 | ||||||||
\(626\) | 232.500 | + | 134.234i | 0.371406 | + | 0.214431i | ||||
\(627\) | −49.5000 | − | 28.5788i | −0.0789474 | − | 0.0455803i | ||||
\(628\) | −20.0000 | − | 34.6410i | −0.0318471 | − | 0.0551609i | ||||
\(629\) | − | 530.008i | − | 0.842619i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 830.000 | 1.31537 | 0.657686 | − | 0.753292i | \(-0.271535\pi\) | ||||
0.657686 | + | 0.753292i | \(0.271535\pi\) | |||||||
\(632\) | 285.000 | − | 164.545i | 0.450949 | − | 0.260356i | ||||
\(633\) | −141.000 | − | 244.219i | −0.222749 | − | 0.385812i | ||||
\(634\) | 42.0000 | − | 72.7461i | 0.0662461 | − | 0.114742i | ||||
\(635\) | 55.4256i | 0.0872845i | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 135.100i | 0.211755i | ||||||||
\(639\) | 280.592i | 0.439111i | ||||||||
\(640\) | 105.000 | + | 181.865i | 0.164062 | + | 0.284165i | ||||
\(641\) | 375.855i | 0.586357i | 0.956058 | + | 0.293179i | \(0.0947131\pi\) | ||||
−0.956058 | + | 0.293179i | \(0.905287\pi\) | |||||||
\(642\) | 729.000 | 1.13551 | ||||||||
\(643\) | −6.50000 | − | 11.2583i | −0.0101089 | − | 0.0175091i | 0.860927 | − | 0.508729i | \(-0.169884\pi\) |
−0.871036 | + | 0.491220i | \(0.836551\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 549.000 | + | 316.965i | 0.851163 | + | 0.491419i | ||||
\(646\) | −148.500 | − | 257.210i | −0.229876 | − | 0.398157i | ||||
\(647\) | 405.000 | − | 233.827i | 0.625966 | − | 0.361402i | −0.153222 | − | 0.988192i | \(-0.548965\pi\) |
0.779188 | + | 0.626790i | \(0.215632\pi\) | |||||||
\(648\) | 701.481i | 1.08253i | ||||||||
\(649\) | −43.5000 | + | 75.3442i | −0.0670262 | + | 0.116093i | ||||
\(650\) | −78.0000 | − | 45.0333i | −0.120000 | − | 0.0692820i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 53.0000 | + | 91.7987i | 0.0812883 | + | 0.140796i | ||||
\(653\) | 377.587i | 0.578234i | 0.957294 | + | 0.289117i | \(0.0933617\pi\) | ||||
−0.957294 | + | 0.289117i | \(0.906638\pi\) | |||||||
\(654\) | −234.000 | − | 135.100i | −0.357798 | − | 0.206575i | ||||
\(655\) | −552.000 | −0.842748 | ||||||||
\(656\) | 115.500 | + | 66.6840i | 0.176067 | + | 0.101652i | ||||
\(657\) | 292.500 | + | 506.625i | 0.445205 | + | 0.771119i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −852.000 | − | 491.902i | −1.29287 | − | 0.746438i | −0.313706 | − | 0.949520i | \(-0.601571\pi\) |
−0.979162 | + | 0.203082i | \(0.934904\pi\) | |||||||
\(660\) | 9.00000 | − | 15.5885i | 0.0136364 | − | 0.0236189i | ||||
\(661\) | −191.000 | + | 330.822i | −0.288956 | + | 0.500487i | −0.973561 | − | 0.228428i | \(-0.926642\pi\) |
0.684605 | + | 0.728915i | \(0.259975\pi\) | |||||||
\(662\) | −3.00000 | − | 1.73205i | −0.00453172 | − | 0.00261639i | ||||
\(663\) | 162.000 | + | 93.5307i | 0.244344 | + | 0.141072i | ||||
\(664\) | −210.000 | + | 363.731i | −0.316265 | + | 0.547787i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | − | 530.008i | − | 0.795807i | ||||||
\(667\) | 624.000 | − | 1080.80i | 0.935532 | − | 1.62039i | ||||
\(668\) | − | 190.526i | − | 0.285218i | ||||||
\(669\) | 78.0000 | − | 135.100i | 0.116592 | − | 0.201943i | ||||
\(670\) | −186.000 | −0.277612 | ||||||||
\(671\) | −84.0000 | + | 48.4974i | −0.125186 | + | 0.0722763i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −289.000 | + | 500.563i | −0.429421 | + | 0.743778i | −0.996822 | − | 0.0796633i | \(-0.974615\pi\) |
0.567401 | + | 0.823441i | \(0.307949\pi\) | |||||||
\(674\) | −115.500 | − | 66.6840i | −0.171365 | − | 0.0989376i | ||||
\(675\) | −351.000 | −0.520000 | ||||||||
\(676\) | 76.5000 | + | 132.502i | 0.113166 | + | 0.196009i | ||||
\(677\) | 606.000 | − | 349.874i | 0.895126 | − | 0.516801i | 0.0195100 | − | 0.999810i | \(-0.493789\pi\) |
0.875616 | + | 0.483009i | \(0.160456\pi\) | |||||||
\(678\) | 234.000 | − | 405.300i | 0.345133 | − | 0.597787i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 405.000 | − | 233.827i | 0.595588 | − | 0.343863i | ||||
\(681\) | 566.381i | 0.831690i | ||||||||
\(682\) | 96.0000 | 0.140762 | ||||||||
\(683\) | 904.500 | − | 522.213i | 1.32430 | − | 0.764588i | 0.339892 | − | 0.940464i | \(-0.389609\pi\) |
0.984412 | + | 0.175877i | \(0.0562760\pi\) | |||||||
\(684\) | 49.5000 | + | 85.7365i | 0.0723684 | + | 0.125346i | ||||
\(685\) | 654.000 | 0.954745 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 798.000 | 1.16157 | ||||||||
\(688\) | 671.000 | 0.975291 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 432.000 | − | 249.415i | 0.626087 | − | 0.361471i | ||||
\(691\) | 91.0000 | + | 157.617i | 0.131693 | + | 0.228099i | 0.924329 | − | 0.381596i | \(-0.124625\pi\) |
−0.792636 | + | 0.609695i | \(0.791292\pi\) | |||||||
\(692\) | 232.095i | 0.335397i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −195.000 | −0.280980 | ||||||||
\(695\) | 15.0000 | − | 8.66025i | 0.0215827 | − | 0.0124608i | ||||
\(696\) | 585.000 | − | 1013.25i | 0.840517 | − | 1.45582i | ||||
\(697\) | 94.5000 | − | 163.679i | 0.135581 | − | 0.234833i | ||||
\(698\) | − | 720.533i | − | 1.03228i | ||||||
\(699\) | −526.500 | − | 303.975i | −0.753219 | − | 0.434871i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(702\) | 162.000 | + | 93.5307i | 0.230769 | + | 0.133235i | ||||
\(703\) | −187.000 | − | 323.894i | −0.266003 | − | 0.460730i | ||||
\(704\) | − | 122.976i | − | 0.174681i | ||||||
\(705\) | −252.000 | − | 436.477i | −0.357447 | − | 0.619116i | ||||
\(706\) | −1.50000 | − | 2.59808i | −0.00212465 | − | 0.00367999i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 130.500 | − | 75.3442i | 0.184322 | − | 0.106418i | ||||
\(709\) | 350.000 | + | 606.218i | 0.493653 | + | 0.855032i | 0.999973 | − | 0.00731341i | \(-0.00232795\pi\) |
−0.506320 | + | 0.862346i | \(0.668995\pi\) | |||||||
\(710\) | 162.000 | − | 93.5307i | 0.228169 | − | 0.131733i | ||||
\(711\) | −171.000 | − | 296.181i | −0.240506 | − | 0.416569i | ||||
\(712\) | 540.000 | − | 935.307i | 0.758427 | − | 1.31363i | ||||
\(713\) | −768.000 | − | 443.405i | −1.07714 | − | 0.621886i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −12.0000 | − | 20.7846i | −0.0167832 | − | 0.0290694i | ||||
\(716\) | − | 62.3538i | − | 0.0870864i | ||||||
\(717\) | 1044.00 | − | 602.754i | 1.45607 | − | 0.840661i | ||||
\(718\) | 1026.00 | 1.42897 | ||||||||
\(719\) | 513.000 | + | 296.181i | 0.713491 | + | 0.411934i | 0.812352 | − | 0.583167i | \(-0.198187\pi\) |
−0.0988613 | + | 0.995101i | \(0.531520\pi\) | |||||||
\(720\) | 297.000 | − | 171.473i | 0.412500 | − | 0.238157i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 360.000 | + | 207.846i | 0.498615 | + | 0.287875i | ||||
\(723\) | 357.000 | 0.493776 | ||||||||
\(724\) | −116.000 | + | 200.918i | −0.160221 | + | 0.277511i | ||||
\(725\) | 507.000 | + | 292.717i | 0.699310 | + | 0.403747i | ||||
\(726\) | −531.000 | + | 306.573i | −0.731405 | + | 0.422277i | ||||
\(727\) | −332.000 | + | 575.041i | −0.456671 | + | 0.790978i | −0.998783 | − | 0.0493289i | \(-0.984292\pi\) |
0.542111 | + | 0.840307i | \(0.317625\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 729.000 | 1.00000 | ||||||||
\(730\) | 195.000 | − | 337.750i | 0.267123 | − | 0.462671i | ||||
\(731\) | − | 950.896i | − | 1.30082i | ||||||
\(732\) | 168.000 | 0.229508 | ||||||||
\(733\) | 670.000 | 0.914052 | 0.457026 | − | 0.889453i | \(-0.348915\pi\) | ||||
0.457026 | + | 0.889453i | \(0.348915\pi\) | |||||||
\(734\) | 537.000 | − | 310.037i | 0.731608 | − | 0.422394i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −216.000 | + | 374.123i | −0.293478 | + | 0.508319i | ||||
\(737\) | 46.5000 | + | 26.8468i | 0.0630936 | + | 0.0364271i | ||||
\(738\) | 94.5000 | − | 163.679i | 0.128049 | − | 0.221787i | ||||
\(739\) | −158.500 | − | 274.530i | −0.214479 | − | 0.371489i | 0.738632 | − | 0.674109i | \(-0.235472\pi\) |
−0.953111 | + | 0.302620i | \(0.902139\pi\) | |||||||
\(740\) | 102.000 | − | 58.8897i | 0.137838 | − | 0.0795807i | ||||
\(741\) | 132.000 | 0.178138 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −537.000 | + | 310.037i | −0.722746 | + | 0.417277i | −0.815762 | − | 0.578387i | \(-0.803682\pi\) |
0.0930168 | + | 0.995665i | \(0.470349\pi\) | |||||||
\(744\) | −720.000 | − | 415.692i | −0.967742 | − | 0.558726i | ||||
\(745\) | −528.000 | −0.708725 | ||||||||
\(746\) | −870.000 | + | 502.295i | −1.16622 | + | 0.673317i | ||||
\(747\) | 378.000 | + | 218.238i | 0.506024 | + | 0.292153i | ||||
\(748\) | −27.0000 | −0.0360963 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 342.000 | + | 592.361i | 0.456000 | + | 0.789815i | ||||
\(751\) | 1310.00 | 1.74434 | 0.872170 | − | 0.489202i | \(-0.162712\pi\) | ||||
0.872170 | + | 0.489202i | \(0.162712\pi\) | |||||||
\(752\) | −462.000 | − | 266.736i | −0.614362 | − | 0.354702i | ||||
\(753\) | 1169.13i | 1.55264i | ||||||||
\(754\) | −156.000 | − | 270.200i | −0.206897 | − | 0.358355i | ||||
\(755\) | − | 69.2820i | − | 0.0917643i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 218.000 | 0.287979 | 0.143989 | − | 0.989579i | \(-0.454007\pi\) | ||||
0.143989 | + | 0.989579i | \(0.454007\pi\) | |||||||
\(758\) | 124.500 | − | 71.8801i | 0.164248 | − | 0.0948286i | ||||
\(759\) | −144.000 | −0.189723 | ||||||||
\(760\) | 165.000 | − | 285.788i | 0.217105 | − | 0.376037i | ||||
\(761\) | − | 658.179i | − | 0.864887i | −0.901661 | − | 0.432444i | \(-0.857651\pi\) | ||
0.901661 | − | 0.432444i | \(-0.142349\pi\) | |||||||
\(762\) | 72.0000 | − | 41.5692i | 0.0944882 | − | 0.0545528i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | − | 232.095i | − | 0.303789i | ||||||
\(765\) | −243.000 | − | 420.888i | −0.317647 | − | 0.550181i | ||||
\(766\) | 483.000 | + | 836.581i | 0.630548 | + | 1.09214i | ||||
\(767\) | − | 200.918i | − | 0.261953i | ||||||
\(768\) | −268.500 | + | 465.056i | −0.349609 | + | 0.605541i | ||||
\(769\) | 511.000 | + | 885.078i | 0.664499 | + | 1.15095i | 0.979421 | + | 0.201829i | \(0.0646885\pi\) |
−0.314921 | + | 0.949118i | \(0.601978\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 524.811i | 0.680689i | ||||||||
\(772\) | 132.500 | + | 229.497i | 0.171632 | + | 0.297276i | ||||
\(773\) | 1026.00 | − | 592.361i | 1.32730 | − | 0.766315i | 0.342416 | − | 0.939549i | \(-0.388755\pi\) |
0.984881 | + | 0.173234i | \(0.0554216\pi\) | |||||||
\(774\) | − | 950.896i | − | 1.22855i | ||||||
\(775\) | 208.000 | − | 360.267i | 0.268387 | − | 0.464860i | ||||
\(776\) | −862.500 | − | 497.965i | −1.11147 | − | 0.641707i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 447.000 | + | 774.227i | 0.574550 | + | 0.995150i | ||||
\(779\) | − | 133.368i | − | 0.171204i | ||||||
\(780\) | 41.5692i | 0.0532939i | ||||||||
\(781\) | −54.0000 | −0.0691421 | ||||||||
\(782\) | −648.000 | − | 374.123i | −0.828645 | − | 0.478418i | ||||
\(783\) | −1053.00 | − | 607.950i | −1.34483 | − | 0.776437i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 120.000 | + | 69.2820i | 0.152866 | + | 0.0882574i | ||||
\(786\) | 414.000 | + | 717.069i | 0.526718 | + | 0.912302i | ||||
\(787\) | −65.0000 | + | 112.583i | −0.0825921 | + | 0.143054i | −0.904363 | − | 0.426765i | \(-0.859653\pi\) |
0.821771 | + | 0.569819i | \(0.192987\pi\) | |||||||
\(788\) | 108.000 | + | 62.3538i | 0.137056 | + | 0.0791292i | ||||
\(789\) | 135.100i | 0.171229i | ||||||||
\(790\) | −114.000 | + | 197.454i | −0.144304 | + | 0.249942i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −135.000 | −0.170455 | ||||||||
\(793\) | 112.000 | − | 193.990i | 0.141236 | − | 0.244628i | ||||
\(794\) | − | 627.002i | − | 0.789676i | ||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −290.000 | −0.364322 | ||||||||
\(797\) | −273.000 | + | 157.617i | −0.342535 | + | 0.197762i | −0.661392 | − | 0.750040i | \(-0.730034\pi\) |
0.318858 | + | 0.947803i | \(0.396701\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −378.000 | + | 654.715i | −0.473091 | + | 0.819418i | ||||
\(800\) | −175.500 | − | 101.325i | −0.219375 | − | 0.126656i | ||||
\(801\) | −972.000 | − | 561.184i | −1.21348 | − | 0.700605i | ||||
\(802\) | 340.500 | + | 589.763i | 0.424564 | + | 0.735366i | ||||
\(803\) | −97.5000 | + | 56.2917i | −0.121420 | + | 0.0701017i | ||||
\(804\) | −46.5000 | − | 80.5404i | −0.0578358 | − | 0.100175i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −192.000 | + | 110.851i | −0.238213 | + | 0.137533i | ||||
\(807\) | 486.000 | − | 280.592i | 0.602230 | − | 0.347698i | ||||
\(808\) | −390.000 | −0.482673 | ||||||||
\(809\) | 121.500 | − | 70.1481i | 0.150185 | − | 0.0867096i | −0.423024 | − | 0.906118i | \(-0.639031\pi\) |
0.573210 | + | 0.819409i | \(0.305698\pi\) | |||||||
\(810\) | −243.000 | − | 420.888i | −0.300000 | − | 0.519615i | ||||
\(811\) | −299.000 | −0.368681 | −0.184340 | − | 0.982862i | \(-0.559015\pi\) | ||||
−0.184340 | + | 0.982862i | \(0.559015\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 402.000 | − | 696.284i | 0.494465 | − | 0.856438i | ||||
\(814\) | 102.000 | 0.125307 | ||||||||
\(815\) | −318.000 | − | 183.597i | −0.390184 | − | 0.225273i | ||||
\(816\) | −445.500 | − | 257.210i | −0.545956 | − | 0.315208i | ||||
\(817\) | −335.500 | − | 581.103i | −0.410649 | − | 0.711264i | ||||
\(818\) | − | 382.783i | − | 0.467950i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 42.0000 | 0.0512195 | ||||||||
\(821\) | −525.000 | + | 303.109i | −0.639464 | + | 0.369195i | −0.784408 | − | 0.620245i | \(-0.787033\pi\) |
0.144944 | + | 0.989440i | \(0.453700\pi\) | |||||||
\(822\) | −490.500 | − | 849.571i | −0.596715 | − | 1.03354i | ||||
\(823\) | 407.000 | − | 704.945i | 0.494532 | − | 0.856555i | −0.505448 | − | 0.862857i | \(-0.668673\pi\) |
0.999980 | + | 0.00630221i | \(0.00200607\pi\) | |||||||
\(824\) | 346.410i | 0.420401i | ||||||||
\(825\) | − | 67.5500i | − | 0.0818788i | ||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 1434.14i | 1.73415i | 0.498182 | + | 0.867073i | \(0.334001\pi\) | ||||
−0.498182 | + | 0.867073i | \(0.665999\pi\) | |||||||
\(828\) | 216.000 | + | 124.708i | 0.260870 | + | 0.150613i | ||||
\(829\) | −359.000 | − | 621.806i | −0.433052 | − | 0.750068i | 0.564083 | − | 0.825718i | \(-0.309230\pi\) |
−0.997134 | + | 0.0756506i | \(0.975897\pi\) | |||||||
\(830\) | − | 290.985i | − | 0.350584i | ||||||
\(831\) | −168.000 | −0.202166 | ||||||||
\(832\) | 142.000 | + | 245.951i | 0.170673 | + | 0.295614i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −22.5000 | − | 12.9904i | −0.0269784 | − | 0.0155760i | ||||
\(835\) | 330.000 | + | 571.577i | 0.395210 | + | 0.684523i | ||||
\(836\) | −16.5000 | + | 9.52628i | −0.0197368 | + | 0.0113951i | ||||
\(837\) | −432.000 | + | 748.246i | −0.516129 | + | 0.893962i | ||||
\(838\) | −678.000 | + | 1174.33i | −0.809069 | + | 1.40135i | ||||
\(839\) | 690.000 | + | 398.372i | 0.822408 | + | 0.474817i | 0.851246 | − | 0.524767i | \(-0.175847\pi\) |
−0.0288384 | + | 0.999584i | \(0.509181\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 593.500 | + | 1027.97i | 0.705707 | + | 1.22232i | ||||
\(842\) | − | 1181.26i | − | 1.40292i | ||||||
\(843\) | 126.000 | + | 72.7461i | 0.149466 | + | 0.0862943i | ||||
\(844\) | −94.0000 | −0.111374 | ||||||||
\(845\) | −459.000 | − | 265.004i | −0.543195 | − | 0.313614i | ||||
\(846\) | −378.000 | + | 654.715i | −0.446809 | + | 0.773895i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −561.000 | + | 971.681i | −0.660777 | + | 1.14450i | ||||
\(850\) | 175.500 | − | 303.975i | 0.206471 | − | 0.357618i | ||||
\(851\) | −816.000 | − | 471.118i | −0.958872 | − | 0.553605i | ||||
\(852\) | 81.0000 | + | 46.7654i | 0.0950704 | + | 0.0548889i | ||||
\(853\) | 712.000 | − | 1233.22i | 0.834701 | − | 1.44574i | −0.0595725 | − | 0.998224i | \(-0.518974\pi\) |
0.894274 | − | 0.447521i | \(-0.147693\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −297.000 | − | 171.473i | −0.347368 | − | 0.200553i | ||||
\(856\) | 607.500 | − | 1052.22i | 0.709696 | − | 1.22923i | ||||
\(857\) | 699.749i | 0.816509i | 0.912868 | + | 0.408255i | \(0.133862\pi\) | ||||
−0.912868 | + | 0.408255i | \(0.866138\pi\) | |||||||
\(858\) | −18.0000 | + | 31.1769i | −0.0209790 | + | 0.0363367i | ||||
\(859\) | −311.000 | −0.362049 | −0.181024 | − | 0.983479i | \(-0.557941\pi\) | ||||
−0.181024 | + | 0.983479i | \(0.557941\pi\) | |||||||
\(860\) | 183.000 | − | 105.655i | 0.212791 | − | 0.122855i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 243.000 | − | 420.888i | 0.281903 | − | 0.488270i | ||||
\(863\) | −891.000 | − | 514.419i | −1.03244 | − | 0.596082i | −0.114761 | − | 0.993393i | \(-0.536610\pi\) |
−0.917684 | + | 0.397311i | \(0.869944\pi\) | |||||||
\(864\) | 364.500 | + | 210.444i | 0.421875 | + | 0.243570i | ||||
\(865\) | −402.000 | − | 696.284i | −0.464740 | − | 0.804953i | ||||
\(866\) | 442.500 | − | 255.477i | 0.510970 | − | 0.295009i | ||||
\(867\) | 69.0000 | − | 119.512i | 0.0795848 | − | 0.137845i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 57.0000 | − | 32.9090i | 0.0655926 | − | 0.0378699i | ||||
\(870\) | 810.600i | 0.931724i | ||||||||
\(871\) | −124.000 | −0.142365 | ||||||||
\(872\) | −390.000 | + | 225.167i | −0.447248 | + | 0.258219i | ||||
\(873\) | −517.500 | + | 896.336i | −0.592784 | + | 1.02673i | ||||
\(874\) | −528.000 | −0.604119 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 195.000 | 0.222603 | ||||||||
\(877\) | 104.000 | 0.118586 | 0.0592930 | − | 0.998241i | \(-0.481115\pi\) | ||||
0.0592930 | + | 0.998241i | \(0.481115\pi\) | |||||||
\(878\) | 1218.00 | + | 703.213i | 1.38724 | + | 0.800926i | ||||
\(879\) | 657.000 | − | 379.319i | 0.747440 | − | 0.431535i | ||||
\(880\) | 33.0000 | + | 57.1577i | 0.0375000 | + | 0.0649519i | ||||
\(881\) | 62.3538i | 0.0707762i | 0.999374 | + | 0.0353881i | \(0.0112667\pi\) | ||||
−0.999374 | + | 0.0353881i | \(0.988733\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 119.000 | 0.134768 | 0.0673839 | − | 0.997727i | \(-0.478535\pi\) | ||||
0.0673839 | + | 0.997727i | \(0.478535\pi\) | |||||||
\(884\) | 54.0000 | − | 31.1769i | 0.0610860 | − | 0.0352680i | ||||
\(885\) | −261.000 | + | 452.065i | −0.294915 | + | 0.510808i | ||||
\(886\) | −79.5000 | + | 137.698i | −0.0897291 | + | 0.155415i | ||||
\(887\) | − | 1188.19i | − | 1.33956i | −0.742561 | − | 0.669778i | \(-0.766389\pi\) | ||
0.742561 | − | 0.669778i | \(-0.233611\pi\) | |||||||
\(888\) | −765.000 | − | 441.673i | −0.861486 | − | 0.497379i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 748.246i | 0.840726i | ||||||||
\(891\) | 140.296i | 0.157459i | ||||||||
\(892\) | −26.0000 | − | 45.0333i | −0.0291480 | − | 0.0504858i | ||||
\(893\) | 533.472i | 0.597393i | ||||||||
\(894\) | 396.000 | + | 685.892i | 0.442953 | + | 0.767217i | ||||
\(895\) | 108.000 | + | 187.061i | 0.120670 | + | 0.209007i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 288.000 | − | 166.277i | 0.321070 | − | 0.185370i | ||||
\(898\) | 553.500 | + | 958.690i | 0.616370 | + | 1.06758i | ||||
\(899\) | 1248.00 | − | 720.533i | 1.38821 | − | 0.801483i | ||||
\(900\) | −58.5000 | + | 101.325i | −0.0650000 | + | 0.112583i | ||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 31.5000 | + | 18.1865i | 0.0349224 | + | 0.0201625i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −390.000 | − | 675.500i | −0.431416 | − | 0.747234i | ||||
\(905\) | − | 803.672i | − | 0.888035i | ||||||
\(906\) | −90.0000 | + | 51.9615i | −0.0993377 | + | 0.0573527i | ||||
\(907\) | 695.000 | 0.766262 | 0.383131 | − | 0.923694i | \(-0.374846\pi\) | ||||
0.383131 | + | 0.923694i | \(0.374846\pi\) | |||||||
\(908\) | 163.500 | + | 94.3968i | 0.180066 | + | 0.103961i | ||||
\(909\) | 405.300i | 0.445874i | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −1500.00 | − | 866.025i | −1.64654 | − | 0.950632i | −0.978432 | − | 0.206569i | \(-0.933770\pi\) |
−0.668110 | − | 0.744062i | \(-0.732897\pi\) | |||||||
\(912\) | −363.000 | −0.398026 | ||||||||
\(913\) | −42.0000 | + | 72.7461i | −0.0460022 | + | 0.0796781i | ||||
\(914\) | −97.5000 | − | 56.2917i | −0.106674 | − | 0.0615882i | ||||
\(915\) | −504.000 | + | 290.985i | −0.550820 | + | 0.318016i | ||||
\(916\) | 133.000 | − | 230.363i | 0.145197 | − | 0.251488i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −364.500 | + | 631.333i | −0.397059 | + | 0.687726i | ||||
\(919\) | −28.0000 | + | 48.4974i | −0.0304679 | + | 0.0527720i | −0.880857 | − | 0.473382i | \(-0.843033\pi\) |
0.850389 | + | 0.526154i | \(0.176366\pi\) | |||||||
\(920\) | − | 831.384i | − | 0.903679i | ||||||
\(921\) | 1599.00 | 1.73616 | ||||||||
\(922\) | 1380.00 | 1.49675 | ||||||||
\(923\) | 108.000 | − | 62.3538i | 0.117010 | − | 0.0675556i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 221.000 | − | 382.783i | 0.238919 | − | 0.413820i | ||||
\(926\) | −1101.00 | − | 635.663i | −1.18898 | − | 0.686461i | ||||
\(927\) | 360.000 | 0.388350 | ||||||||
\(928\) | −351.000 | − | 607.950i | −0.378233 | − | 0.655118i | ||||
\(929\) | −690.000 | + | 398.372i | −0.742734 | + | 0.428818i | −0.823063 | − | 0.567951i | \(-0.807736\pi\) |
0.0803285 | + | 0.996768i | \(0.474403\pi\) | |||||||
\(930\) | 576.000 | 0.619355 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −175.500 | + | 101.325i | −0.188305 | + | 0.108718i | ||||
\(933\) | 639.000 | + | 368.927i | 0.684887 | + | 0.395420i | ||||
\(934\) | 351.000 | 0.375803 | ||||||||
\(935\) | 81.0000 | − | 46.7654i | 0.0866310 | − | 0.0500164i | ||||
\(936\) | 270.000 | − | 155.885i | 0.288462 | − | 0.166543i | ||||
\(937\) | −470.000 | −0.501601 | −0.250800 | − | 0.968039i | \(-0.580694\pi\) | ||||
−0.250800 | + | 0.968039i | \(0.580694\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −232.500 | − | 402.702i | −0.247604 | − | 0.428862i | ||||
\(940\) | −168.000 | −0.178723 | ||||||||
\(941\) | −348.000 | − | 200.918i | −0.369819 | − | 0.213515i | 0.303560 | − | 0.952812i | \(-0.401825\pi\) |
−0.673380 | + | 0.739297i | \(0.735158\pi\) | |||||||
\(942\) | − | 207.846i | − | 0.220643i | ||||||
\(943\) | −168.000 | − | 290.985i | −0.178155 | − | 0.308573i | ||||
\(944\) | 552.524i | 0.585301i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 183.000 | 0.193446 | ||||||||
\(947\) | 1.50000 | − | 0.866025i | 0.00158395 | − | 0.000914494i | −0.499208 | − | 0.866482i | \(-0.666376\pi\) |
0.500792 | + | 0.865568i | \(0.333042\pi\) | |||||||
\(948\) | −114.000 | −0.120253 | ||||||||
\(949\) | 130.000 | − | 225.167i | 0.136986 | − | 0.237267i | ||||
\(950\) | − | 247.683i | − | 0.260719i | ||||||
\(951\) | −126.000 | + | 72.7461i | −0.132492 | + | 0.0764944i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 826.188i | − | 0.866934i | −0.901169 | − | 0.433467i | \(-0.857290\pi\) | ||
0.901169 | − | 0.433467i | \(-0.142710\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 402.000 | + | 696.284i | 0.420942 | + | 0.729094i | ||||
\(956\) | − | 401.836i | − | 0.420330i | ||||||
\(957\) | 117.000 | − | 202.650i | 0.122257 | − | 0.211755i | ||||
\(958\) | 525.000 | + | 909.327i | 0.548017 | + | 0.949193i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | − | 737.854i | − | 0.768598i | ||||||
\(961\) | −31.5000 | − | 54.5596i | −0.0327784 | − | 0.0567738i | ||||
\(962\) | −204.000 | + | 117.779i | −0.212058 | + | 0.122432i | ||||
\(963\) | −1093.50 | − | 631.333i | −1.13551 | − | 0.655589i | ||||
\(964\) | 59.5000 | − | 103.057i | 0.0617220 | − | 0.106906i | ||||
\(965\) | −795.000 | − | 458.993i | −0.823834 | − | 0.475641i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −601.000 | − | 1040.96i | −0.621510 | − | 1.07649i | −0.989205 | − | 0.146540i | \(-0.953186\pi\) |
0.367695 | − | 0.929946i | \(-0.380147\pi\) | |||||||
\(968\) | 1021.91i | 1.05569i | ||||||||
\(969\) | 514.419i | 0.530876i | ||||||||
\(970\) | 690.000 | 0.711340 | ||||||||
\(971\) | 162.000 | + | 93.5307i | 0.166838 | + | 0.0963241i | 0.581094 | − | 0.813836i | \(-0.302625\pi\) |
−0.414256 | + | 0.910160i | \(0.635958\pi\) | |||||||
\(972\) | 121.500 | − | 210.444i | 0.125000 | − | 0.216506i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 159.000 | + | 91.7987i | 0.163244 | + | 0.0942492i | ||||
\(975\) | 78.0000 | + | 135.100i | 0.0800000 | + | 0.138564i | ||||
\(976\) | −308.000 | + | 533.472i | −0.315574 | + | 0.546590i | ||||
\(977\) | 361.500 | + | 208.712i | 0.370010 | + | 0.213626i | 0.673463 | − | 0.739221i | \(-0.264806\pi\) |
−0.303453 | + | 0.952847i | \(0.598139\pi\) | |||||||
\(978\) | 550.792i | 0.563182i | ||||||||
\(979\) | 108.000 | − | 187.061i | 0.110317 | − | 0.191074i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 234.000 | + | 405.300i | 0.238532 | + | 0.413150i | ||||
\(982\) | −199.500 | + | 345.544i | −0.203157 | + | 0.351878i | ||||
\(983\) | 1167.40i | 1.18759i | 0.804616 | + | 0.593796i | \(0.202371\pi\) | ||||
−0.804616 | + | 0.593796i | \(0.797629\pi\) | |||||||
\(984\) | −157.500 | − | 272.798i | −0.160061 | − | 0.277234i | ||||
\(985\) | −432.000 | −0.438579 | ||||||||
\(986\) | 1053.00 | − | 607.950i | 1.06795 | − | 0.616582i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 22.0000 | − | 38.1051i | 0.0222672 | − | 0.0385679i | ||||
\(989\) | −1464.00 | − | 845.241i | −1.48028 | − | 0.854642i | ||||
\(990\) | 81.0000 | − | 46.7654i | 0.0818182 | − | 0.0472377i | ||||
\(991\) | 710.000 | + | 1229.76i | 0.716448 | + | 1.24092i | 0.962398 | + | 0.271642i | \(0.0875666\pi\) |
−0.245950 | + | 0.969282i | \(0.579100\pi\) | |||||||
\(992\) | −432.000 | + | 249.415i | −0.435484 | + | 0.251427i | ||||
\(993\) | 3.00000 | + | 5.19615i | 0.00302115 | + | 0.00523278i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 870.000 | − | 502.295i | 0.874372 | − | 0.504819i | ||||
\(996\) | 126.000 | − | 72.7461i | 0.126506 | − | 0.0730383i | ||||
\(997\) | −524.000 | −0.525577 | −0.262788 | − | 0.964853i | \(-0.584642\pi\) | ||||
−0.262788 | + | 0.964853i | \(0.584642\pi\) | |||||||
\(998\) | −1180.50 | + | 681.562i | −1.18287 | + | 0.682928i | ||||
\(999\) | −459.000 | + | 795.011i | −0.459459 | + | 0.795807i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))