Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [9,3,Mod(2,9)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(9, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("9.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 9 = 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 9.d (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: | \(0.245232237924\) |
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: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 2.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 9.2 |
Dual form | 9.3.d.a.5.1 |
$q$-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 \(\left(\mathbb{Z}/9\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) |
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 | \(-0.475883\pi\) |
−0.825694 | + | 0.564118i | \(0.809216\pi\) | |||||||
\(3\) | −1.50000 | + | 2.59808i | −0.500000 | + | 0.866025i | ||||
\(4\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(5\) | 3.00000 | − | 1.73205i | 0.600000 | − | 0.346410i | −0.169042 | − | 0.985609i | \(-0.554067\pi\) |
0.769042 | + | 0.639199i | \(0.220734\pi\) | |||||||
\(6\) | 4.50000 | − | 2.59808i | 0.750000 | − | 0.433013i | ||||
\(7\) | −1.00000 | + | 1.73205i | −0.142857 | + | 0.247436i | −0.928571 | − | 0.371154i | \(-0.878962\pi\) |
0.785714 | + | 0.618590i | \(0.212296\pi\) | |||||||
\(8\) | 8.66025i | 1.08253i | ||||||||
\(9\) | −4.50000 | − | 7.79423i | −0.500000 | − | 0.866025i | ||||
\(10\) | −6.00000 | −0.600000 | ||||||||
\(11\) | −1.50000 | − | 0.866025i | −0.136364 | − | 0.0787296i | 0.430266 | − | 0.902702i | \(-0.358420\pi\) |
−0.566630 | + | 0.823972i | \(0.691753\pi\) | |||||||
\(12\) | 3.00000 | 0.250000 | ||||||||
\(13\) | 2.00000 | + | 3.46410i | 0.153846 | + | 0.266469i | 0.932638 | − | 0.360813i | \(-0.117501\pi\) |
−0.778792 | + | 0.627282i | \(0.784167\pi\) | |||||||
\(14\) | 3.00000 | − | 1.73205i | 0.214286 | − | 0.123718i | ||||
\(15\) | 10.3923i | 0.692820i | ||||||||
\(16\) | 5.50000 | − | 9.52628i | 0.343750 | − | 0.595392i | ||||
\(17\) | − | 15.5885i | − | 0.916968i | −0.888703 | − | 0.458484i | \(-0.848393\pi\) | ||
0.888703 | − | 0.458484i | \(-0.151607\pi\) | |||||||
\(18\) | 15.5885i | 0.866025i | ||||||||
\(19\) | 11.0000 | 0.578947 | 0.289474 | − | 0.957186i | \(-0.406520\pi\) | ||||
0.289474 | + | 0.957186i | \(0.406520\pi\) | |||||||
\(20\) | −3.00000 | − | 1.73205i | −0.150000 | − | 0.0866025i | ||||
\(21\) | −3.00000 | − | 5.19615i | −0.142857 | − | 0.247436i | ||||
\(22\) | 1.50000 | + | 2.59808i | 0.0681818 | + | 0.118094i | ||||
\(23\) | −24.0000 | + | 13.8564i | −1.04348 | + | 0.602452i | −0.920817 | − | 0.389996i | \(-0.872476\pi\) |
−0.122662 | + | 0.992449i | \(0.539143\pi\) | |||||||
\(24\) | −22.5000 | − | 12.9904i | −0.937500 | − | 0.541266i | ||||
\(25\) | −6.50000 | + | 11.2583i | −0.260000 | + | 0.450333i | ||||
\(26\) | − | 6.92820i | − | 0.266469i | ||||||
\(27\) | 27.0000 | 1.00000 | ||||||||
\(28\) | 2.00000 | 0.0714286 | ||||||||
\(29\) | 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 | −0.999825 | − | 0.0187254i | \(-0.994039\pi\) |
0.483696 | − | 0.875236i | \(-0.339294\pi\) | |||||||
\(32\) | 13.5000 | − | 7.79423i | 0.421875 | − | 0.243570i | ||||
\(33\) | 4.50000 | − | 2.59808i | 0.136364 | − | 0.0787296i | ||||
\(34\) | −13.5000 | + | 23.3827i | −0.397059 | + | 0.687726i | ||||
\(35\) | 6.92820i | 0.197949i | ||||||||
\(36\) | −4.50000 | + | 7.79423i | −0.125000 | + | 0.216506i | ||||
\(37\) | −34.0000 | −0.918919 | −0.459459 | − | 0.888199i | \(-0.651957\pi\) | ||||
−0.459459 | + | 0.888199i | \(0.651957\pi\) | |||||||
\(38\) | −16.5000 | − | 9.52628i | −0.434211 | − | 0.250692i | ||||
\(39\) | −12.0000 | −0.307692 | ||||||||
\(40\) | 15.0000 | + | 25.9808i | 0.375000 | + | 0.649519i | ||||
\(41\) | −10.5000 | + | 6.06218i | −0.256098 | + | 0.147858i | −0.622553 | − | 0.782578i | \(-0.713905\pi\) |
0.366456 | + | 0.930436i | \(0.380571\pi\) | |||||||
\(42\) | 10.3923i | 0.247436i | ||||||||
\(43\) | 30.5000 | − | 52.8275i | 0.709302 | − | 1.22855i | −0.255814 | − | 0.966726i | \(-0.582343\pi\) |
0.965116 | − | 0.261822i | \(-0.0843232\pi\) | |||||||
\(44\) | 1.73205i | 0.0393648i | ||||||||
\(45\) | −27.0000 | − | 15.5885i | −0.600000 | − | 0.346410i | ||||
\(46\) | 48.0000 | 1.04348 | ||||||||
\(47\) | −42.0000 | − | 24.2487i | −0.893617 | − | 0.515930i | −0.0184931 | − | 0.999829i | \(-0.505887\pi\) |
−0.875124 | + | 0.483899i | \(0.839220\pi\) | |||||||
\(48\) | 16.5000 | + | 28.5788i | 0.343750 | + | 0.595392i | ||||
\(49\) | 22.5000 | + | 38.9711i | 0.459184 | + | 0.795329i | ||||
\(50\) | 19.5000 | − | 11.2583i | 0.390000 | − | 0.225167i | ||||
\(51\) | 40.5000 | + | 23.3827i | 0.794118 | + | 0.458484i | ||||
\(52\) | 2.00000 | − | 3.46410i | 0.0384615 | − | 0.0666173i | ||||
\(53\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(54\) | −40.5000 | − | 23.3827i | −0.750000 | − | 0.433013i | ||||
\(55\) | −6.00000 | −0.109091 | ||||||||
\(56\) | −15.0000 | − | 8.66025i | −0.267857 | − | 0.154647i | ||||
\(57\) | −16.5000 | + | 28.5788i | −0.289474 | + | 0.501383i | ||||
\(58\) | −39.0000 | − | 67.5500i | −0.672414 | − | 1.16465i | ||||
\(59\) | 43.5000 | − | 25.1147i | 0.737288 | − | 0.425674i | −0.0837943 | − | 0.996483i | \(-0.526704\pi\) |
0.821082 | + | 0.570810i | \(0.193371\pi\) | |||||||
\(60\) | 9.00000 | − | 5.19615i | 0.150000 | − | 0.0866025i | ||||
\(61\) | −28.0000 | + | 48.4974i | −0.459016 | + | 0.795040i | −0.998909 | − | 0.0466940i | \(-0.985131\pi\) |
0.539893 | + | 0.841734i | \(0.318465\pi\) | |||||||
\(62\) | 55.4256i | 0.893962i | ||||||||
\(63\) | 18.0000 | 0.285714 | ||||||||
\(64\) | −71.0000 | −1.10938 | ||||||||
\(65\) | 12.0000 | + | 6.92820i | 0.184615 | + | 0.106588i | ||||
\(66\) | −9.00000 | −0.136364 | ||||||||
\(67\) | 15.5000 | + | 26.8468i | 0.231343 | + | 0.400698i | 0.958204 | − | 0.286087i | \(-0.0923546\pi\) |
−0.726860 | + | 0.686785i | \(0.759021\pi\) | |||||||
\(68\) | −13.5000 | + | 7.79423i | −0.198529 | + | 0.114621i | ||||
\(69\) | − | 83.1384i | − | 1.20490i | ||||||
\(70\) | 6.00000 | − | 10.3923i | 0.0857143 | − | 0.148461i | ||||
\(71\) | 31.1769i | 0.439111i | 0.975600 | + | 0.219556i | \(0.0704608\pi\) | ||||
−0.975600 | + | 0.219556i | \(0.929539\pi\) | |||||||
\(72\) | 67.5000 | − | 38.9711i | 0.937500 | − | 0.541266i | ||||
\(73\) | 65.0000 | 0.890411 | 0.445205 | − | 0.895428i | \(-0.353131\pi\) | ||||
0.445205 | + | 0.895428i | \(0.353131\pi\) | |||||||
\(74\) | 51.0000 | + | 29.4449i | 0.689189 | + | 0.397904i | ||||
\(75\) | −19.5000 | − | 33.7750i | −0.260000 | − | 0.450333i | ||||
\(76\) | −5.50000 | − | 9.52628i | −0.0723684 | − | 0.125346i | ||||
\(77\) | 3.00000 | − | 1.73205i | 0.0389610 | − | 0.0224942i | ||||
\(78\) | 18.0000 | + | 10.3923i | 0.230769 | + | 0.133235i | ||||
\(79\) | −19.0000 | + | 32.9090i | −0.240506 | + | 0.416569i | −0.960859 | − | 0.277039i | \(-0.910647\pi\) |
0.720352 | + | 0.693608i | \(0.243980\pi\) | |||||||
\(80\) | − | 38.1051i | − | 0.476314i | ||||||
\(81\) | −40.5000 | + | 70.1481i | −0.500000 | + | 0.866025i | ||||
\(82\) | 21.0000 | 0.256098 | ||||||||
\(83\) | −42.0000 | − | 24.2487i | −0.506024 | − | 0.292153i | 0.225174 | − | 0.974319i | \(-0.427705\pi\) |
−0.731198 | + | 0.682165i | \(0.761038\pi\) | |||||||
\(84\) | −3.00000 | + | 5.19615i | −0.0357143 | + | 0.0618590i | ||||
\(85\) | −27.0000 | − | 46.7654i | −0.317647 | − | 0.550181i | ||||
\(86\) | −91.5000 | + | 52.8275i | −1.06395 | + | 0.614274i | ||||
\(87\) | −117.000 | + | 67.5500i | −1.34483 | + | 0.776437i | ||||
\(88\) | 7.50000 | − | 12.9904i | 0.0852273 | − | 0.147618i | ||||
\(89\) | − | 124.708i | − | 1.40121i | −0.713549 | − | 0.700605i | \(-0.752914\pi\) | ||
0.713549 | − | 0.700605i | \(-0.247086\pi\) | |||||||
\(90\) | 27.0000 | + | 46.7654i | 0.300000 | + | 0.519615i | ||||
\(91\) | −8.00000 | −0.0879121 | ||||||||
\(92\) | 24.0000 | + | 13.8564i | 0.260870 | + | 0.150613i | ||||
\(93\) | 96.0000 | 1.03226 | ||||||||
\(94\) | 42.0000 | + | 72.7461i | 0.446809 | + | 0.773895i | ||||
\(95\) | 33.0000 | − | 19.0526i | 0.347368 | − | 0.200553i | ||||
\(96\) | 46.7654i | 0.487139i | ||||||||
\(97\) | 57.5000 | − | 99.5929i | 0.592784 | − | 1.02673i | −0.401072 | − | 0.916047i | \(-0.631362\pi\) |
0.993856 | − | 0.110685i | \(-0.0353044\pi\) | |||||||
\(98\) | − | 77.9423i | − | 0.795329i | ||||||
\(99\) | 15.5885i | 0.157459i | ||||||||
\(100\) | 13.0000 | 0.130000 | ||||||||
\(101\) | 39.0000 | + | 22.5167i | 0.386139 | + | 0.222937i | 0.680486 | − | 0.732761i | \(-0.261769\pi\) |
−0.294347 | + | 0.955699i | \(0.595102\pi\) | |||||||
\(102\) | −40.5000 | − | 70.1481i | −0.397059 | − | 0.687726i | ||||
\(103\) | 20.0000 | + | 34.6410i | 0.194175 | + | 0.336321i | 0.946630 | − | 0.322323i | \(-0.104464\pi\) |
−0.752455 | + | 0.658644i | \(0.771130\pi\) | |||||||
\(104\) | −30.0000 | + | 17.3205i | −0.288462 | + | 0.166543i | ||||
\(105\) | −18.0000 | − | 10.3923i | −0.171429 | − | 0.0989743i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 140.296i | 1.31118i | 0.755118 | + | 0.655589i | \(0.227580\pi\) | ||||
−0.755118 | + | 0.655589i | \(0.772420\pi\) | |||||||
\(108\) | −13.5000 | − | 23.3827i | −0.125000 | − | 0.216506i | ||||
\(109\) | −52.0000 | −0.477064 | −0.238532 | − | 0.971135i | \(-0.576666\pi\) | ||||
−0.238532 | + | 0.971135i | \(0.576666\pi\) | |||||||
\(110\) | 9.00000 | + | 5.19615i | 0.0818182 | + | 0.0472377i | ||||
\(111\) | 51.0000 | − | 88.3346i | 0.459459 | − | 0.795807i | ||||
\(112\) | 11.0000 | + | 19.0526i | 0.0982143 | + | 0.170112i | ||||
\(113\) | −78.0000 | + | 45.0333i | −0.690265 | + | 0.398525i | −0.803711 | − | 0.595019i | \(-0.797144\pi\) |
0.113446 | + | 0.993544i | \(0.463811\pi\) | |||||||
\(114\) | 49.5000 | − | 28.5788i | 0.434211 | − | 0.250692i | ||||
\(115\) | −48.0000 | + | 83.1384i | −0.417391 | + | 0.722943i | ||||
\(116\) | − | 45.0333i | − | 0.388218i | ||||||
\(117\) | 18.0000 | − | 31.1769i | 0.153846 | − | 0.266469i | ||||
\(118\) | −87.0000 | −0.737288 | ||||||||
\(119\) | 27.0000 | + | 15.5885i | 0.226891 | + | 0.130995i | ||||
\(120\) | −90.0000 | −0.750000 | ||||||||
\(121\) | −59.0000 | − | 102.191i | −0.487603 | − | 0.844554i | ||||
\(122\) | 84.0000 | − | 48.4974i | 0.688525 | − | 0.397520i | ||||
\(123\) | − | 36.3731i | − | 0.295716i | ||||||
\(124\) | −16.0000 | + | 27.7128i | −0.129032 | + | 0.223490i | ||||
\(125\) | 131.636i | 1.05309i | ||||||||
\(126\) | −27.0000 | − | 15.5885i | −0.214286 | − | 0.123718i | ||||
\(127\) | −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 | ||||
\(131\) | 138.000 | − | 79.6743i | 1.05344 | − | 0.608201i | 0.129826 | − | 0.991537i | \(-0.458558\pi\) |
0.923609 | + | 0.383336i | \(0.125225\pi\) | |||||||
\(132\) | −4.50000 | − | 2.59808i | −0.0340909 | − | 0.0196824i | ||||
\(133\) | −11.0000 | + | 19.0526i | −0.0827068 | + | 0.143252i | ||||
\(134\) | − | 53.6936i | − | 0.400698i | ||||||
\(135\) | 81.0000 | − | 46.7654i | 0.600000 | − | 0.346410i | ||||
\(136\) | 135.000 | 0.992647 | ||||||||
\(137\) | −163.500 | − | 94.3968i | −1.19343 | − | 0.689028i | −0.234348 | − | 0.972153i | \(-0.575295\pi\) |
−0.959083 | + | 0.283125i | \(0.908629\pi\) | |||||||
\(138\) | −72.0000 | + | 124.708i | −0.521739 | + | 0.903679i | ||||
\(139\) | −2.50000 | − | 4.33013i | −0.0179856 | − | 0.0311520i | 0.856893 | − | 0.515495i | \(-0.172392\pi\) |
−0.874878 | + | 0.484343i | \(0.839059\pi\) | |||||||
\(140\) | 6.00000 | − | 3.46410i | 0.0428571 | − | 0.0247436i | ||||
\(141\) | 126.000 | − | 72.7461i | 0.893617 | − | 0.515930i | ||||
\(142\) | 27.0000 | − | 46.7654i | 0.190141 | − | 0.329334i | ||||
\(143\) | − | 6.92820i | − | 0.0484490i | ||||||
\(144\) | −99.0000 | −0.687500 | ||||||||
\(145\) | 156.000 | 1.07586 | ||||||||
\(146\) | −97.5000 | − | 56.2917i | −0.667808 | − | 0.385559i | ||||
\(147\) | −135.000 | −0.918367 | ||||||||
\(148\) | 17.0000 | + | 29.4449i | 0.114865 | + | 0.198952i | ||||
\(149\) | −132.000 | + | 76.2102i | −0.885906 | + | 0.511478i | −0.872601 | − | 0.488433i | \(-0.837569\pi\) |
−0.0133049 | + | 0.999911i | \(0.504235\pi\) | |||||||
\(150\) | 67.5500i | 0.450333i | ||||||||
\(151\) | −10.0000 | + | 17.3205i | −0.0662252 | + | 0.114705i | −0.897237 | − | 0.441550i | \(-0.854429\pi\) |
0.831012 | + | 0.556255i | \(0.187762\pi\) | |||||||
\(152\) | 95.2628i | 0.626729i | ||||||||
\(153\) | −121.500 | + | 70.1481i | −0.794118 | + | 0.458484i | ||||
\(154\) | −6.00000 | −0.0389610 | ||||||||
\(155\) | −96.0000 | − | 55.4256i | −0.619355 | − | 0.357585i | ||||
\(156\) | 6.00000 | + | 10.3923i | 0.0384615 | + | 0.0666173i | ||||
\(157\) | 20.0000 | + | 34.6410i | 0.127389 | + | 0.220643i | 0.922664 | − | 0.385605i | \(-0.126007\pi\) |
−0.795276 | + | 0.606248i | \(0.792674\pi\) | |||||||
\(158\) | 57.0000 | − | 32.9090i | 0.360759 | − | 0.208285i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 27.0000 | − | 46.7654i | 0.168750 | − | 0.292284i | ||||
\(161\) | − | 55.4256i | − | 0.344259i | ||||||
\(162\) | 121.500 | − | 70.1481i | 0.750000 | − | 0.433013i | ||||
\(163\) | −106.000 | −0.650307 | −0.325153 | − | 0.945661i | \(-0.605416\pi\) | ||||
−0.325153 | + | 0.945661i | \(0.605416\pi\) | |||||||
\(164\) | 10.5000 | + | 6.06218i | 0.0640244 | + | 0.0369645i | ||||
\(165\) | 9.00000 | − | 15.5885i | 0.0545455 | − | 0.0944755i | ||||
\(166\) | 42.0000 | + | 72.7461i | 0.253012 | + | 0.438230i | ||||
\(167\) | 165.000 | − | 95.2628i | 0.988024 | − | 0.570436i | 0.0833409 | − | 0.996521i | \(-0.473441\pi\) |
0.904683 | + | 0.426085i | \(0.140108\pi\) | |||||||
\(168\) | 45.0000 | − | 25.9808i | 0.267857 | − | 0.154647i | ||||
\(169\) | 76.5000 | − | 132.502i | 0.452663 | − | 0.784035i | ||||
\(170\) | 93.5307i | 0.550181i | ||||||||
\(171\) | −49.5000 | − | 85.7365i | −0.289474 | − | 0.501383i | ||||
\(172\) | −61.0000 | −0.354651 | ||||||||
\(173\) | 201.000 | + | 116.047i | 1.16185 | + | 0.670794i | 0.951747 | − | 0.306885i | \(-0.0992867\pi\) |
0.210103 | + | 0.977679i | \(0.432620\pi\) | |||||||
\(174\) | 234.000 | 1.34483 | ||||||||
\(175\) | −13.0000 | − | 22.5167i | −0.0742857 | − | 0.128667i | ||||
\(176\) | −16.5000 | + | 9.52628i | −0.0937500 | + | 0.0541266i | ||||
\(177\) | 150.688i | 0.851347i | ||||||||
\(178\) | −108.000 | + | 187.061i | −0.606742 | + | 1.05091i | ||||
\(179\) | − | 62.3538i | − | 0.348345i | −0.984715 | − | 0.174173i | \(-0.944275\pi\) | ||
0.984715 | − | 0.174173i | \(-0.0557251\pi\) | |||||||
\(180\) | 31.1769i | 0.173205i | ||||||||
\(181\) | −232.000 | −1.28177 | −0.640884 | − | 0.767638i | \(-0.721432\pi\) | ||||
−0.640884 | + | 0.767638i | \(0.721432\pi\) | |||||||
\(182\) | 12.0000 | + | 6.92820i | 0.0659341 | + | 0.0380671i | ||||
\(183\) | −84.0000 | − | 145.492i | −0.459016 | − | 0.795040i | ||||
\(184\) | −120.000 | − | 207.846i | −0.652174 | − | 1.12960i | ||||
\(185\) | −102.000 | + | 58.8897i | −0.551351 | + | 0.318323i | ||||
\(186\) | −144.000 | − | 83.1384i | −0.774194 | − | 0.446981i | ||||
\(187\) | −13.5000 | + | 23.3827i | −0.0721925 | + | 0.125041i | ||||
\(188\) | 48.4974i | 0.257965i | ||||||||
\(189\) | −27.0000 | + | 46.7654i | −0.142857 | + | 0.247436i | ||||
\(190\) | −66.0000 | −0.347368 | ||||||||
\(191\) | 201.000 | + | 116.047i | 1.05236 | + | 0.607578i | 0.923308 | − | 0.384060i | \(-0.125475\pi\) |
0.129048 | + | 0.991638i | \(0.458808\pi\) | |||||||
\(192\) | 106.500 | − | 184.463i | 0.554688 | − | 0.960747i | ||||
\(193\) | 132.500 | + | 229.497i | 0.686528 | + | 1.18910i | 0.972954 | + | 0.231000i | \(0.0741996\pi\) |
−0.286425 | + | 0.958103i | \(0.592467\pi\) | |||||||
\(194\) | −172.500 | + | 99.5929i | −0.889175 | + | 0.513366i | ||||
\(195\) | −36.0000 | + | 20.7846i | −0.184615 | + | 0.106588i | ||||
\(196\) | 22.5000 | − | 38.9711i | 0.114796 | − | 0.198832i | ||||
\(197\) | − | 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 | ||||
\(199\) | 290.000 | 1.45729 | 0.728643 | − | 0.684893i | \(-0.240151\pi\) | ||||
0.728643 | + | 0.684893i | \(0.240151\pi\) | |||||||
\(200\) | −97.5000 | − | 56.2917i | −0.487500 | − | 0.281458i | ||||
\(201\) | −93.0000 | −0.462687 | ||||||||
\(202\) | −39.0000 | − | 67.5500i | −0.193069 | − | 0.334406i | ||||
\(203\) | −78.0000 | + | 45.0333i | −0.384236 | + | 0.221839i | ||||
\(204\) | − | 46.7654i | − | 0.229242i | ||||||
\(205\) | −21.0000 | + | 36.3731i | −0.102439 | + | 0.177430i | ||||
\(206\) | − | 69.2820i | − | 0.336321i | ||||||
\(207\) | 216.000 | + | 124.708i | 1.04348 | + | 0.602452i | ||||
\(208\) | 44.0000 | 0.211538 | ||||||||
\(209\) | −16.5000 | − | 9.52628i | −0.0789474 | − | 0.0455803i | ||||
\(210\) | 18.0000 | + | 31.1769i | 0.0857143 | + | 0.148461i | ||||
\(211\) | 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 | ||||||||
\(213\) | −81.0000 | − | 46.7654i | −0.380282 | − | 0.219556i | ||||
\(214\) | 121.500 | − | 210.444i | 0.567757 | − | 0.983384i | ||||
\(215\) | − | 211.310i | − | 0.982838i | ||||||
\(216\) | 233.827i | 1.08253i | ||||||||
\(217\) | 64.0000 | 0.294931 | ||||||||
\(218\) | 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 | ||||
\(222\) | −153.000 | + | 88.3346i | −0.689189 | + | 0.397904i | ||||
\(223\) | 26.0000 | − | 45.0333i | 0.116592 | − | 0.201943i | −0.801823 | − | 0.597562i | \(-0.796136\pi\) |
0.918415 | + | 0.395618i | \(0.129470\pi\) | |||||||
\(224\) | 31.1769i | 0.139183i | ||||||||
\(225\) | 117.000 | 0.520000 | ||||||||
\(226\) | 156.000 | 0.690265 | ||||||||
\(227\) | −163.500 | − | 94.3968i | −0.720264 | − | 0.415845i | 0.0945856 | − | 0.995517i | \(-0.469847\pi\) |
−0.814850 | + | 0.579672i | \(0.803181\pi\) | |||||||
\(228\) | 33.0000 | 0.144737 | ||||||||
\(229\) | −133.000 | − | 230.363i | −0.580786 | − | 1.00595i | −0.995386 | − | 0.0959473i | \(-0.969412\pi\) |
0.414600 | − | 0.910004i | \(-0.363921\pi\) | |||||||
\(230\) | 144.000 | − | 83.1384i | 0.626087 | − | 0.361471i | ||||
\(231\) | 10.3923i | 0.0449883i | ||||||||
\(232\) | −195.000 | + | 337.750i | −0.840517 | + | 1.45582i | ||||
\(233\) | − | 202.650i | − | 0.869742i | −0.900493 | − | 0.434871i | \(-0.856794\pi\) | ||
0.900493 | − | 0.434871i | \(-0.143206\pi\) | |||||||
\(234\) | −54.0000 | + | 31.1769i | −0.230769 | + | 0.133235i | ||||
\(235\) | −168.000 | −0.714894 | ||||||||
\(236\) | −43.5000 | − | 25.1147i | −0.184322 | − | 0.106418i | ||||
\(237\) | −57.0000 | − | 98.7269i | −0.240506 | − | 0.416569i | ||||
\(238\) | −27.0000 | − | 46.7654i | −0.113445 | − | 0.196493i | ||||
\(239\) | −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 | ||||
\(241\) | −59.5000 | + | 103.057i | −0.246888 | + | 0.427623i | −0.962661 | − | 0.270711i | \(-0.912741\pi\) |
0.715773 | + | 0.698333i | \(0.246075\pi\) | |||||||
\(242\) | 204.382i | 0.844554i | ||||||||
\(243\) | −121.500 | − | 210.444i | −0.500000 | − | 0.866025i | ||||
\(244\) | 56.0000 | 0.229508 | ||||||||
\(245\) | 135.000 | + | 77.9423i | 0.551020 | + | 0.318132i | ||||
\(246\) | −31.5000 | + | 54.5596i | −0.128049 | + | 0.221787i | ||||
\(247\) | 22.0000 | + | 38.1051i | 0.0890688 | + | 0.154272i | ||||
\(248\) | 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 | \(0.282915\pi\) | ||||
−0.630342 | + | 0.776318i | \(0.717085\pi\) | |||||||
\(252\) | −9.00000 | − | 15.5885i | −0.0357143 | − | 0.0618590i | ||||
\(253\) | 48.0000 | 0.189723 | ||||||||
\(254\) | 24.0000 | + | 13.8564i | 0.0944882 | + | 0.0545528i | ||||
\(255\) | 162.000 | 0.635294 | ||||||||
\(256\) | 89.5000 | + | 155.019i | 0.349609 | + | 0.605541i | ||||
\(257\) | 151.500 | − | 87.4686i | 0.589494 | − | 0.340345i | −0.175403 | − | 0.984497i | \(-0.556123\pi\) |
0.764897 | + | 0.644152i | \(0.222790\pi\) | |||||||
\(258\) | − | 316.965i | − | 1.22855i | ||||||
\(259\) | 34.0000 | − | 58.8897i | 0.131274 | − | 0.227373i | ||||
\(260\) | − | 13.8564i | − | 0.0532939i | ||||||
\(261\) | − | 405.300i | − | 1.55287i | ||||||
\(262\) | −276.000 | −1.05344 | ||||||||
\(263\) | 39.0000 | + | 22.5167i | 0.148289 | + | 0.0856147i | 0.572309 | − | 0.820038i | \(-0.306048\pi\) |
−0.424020 | + | 0.905653i | \(0.639381\pi\) | |||||||
\(264\) | 22.5000 | + | 38.9711i | 0.0852273 | + | 0.147618i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 33.0000 | − | 19.0526i | 0.124060 | − | 0.0716262i | ||||
\(267\) | 324.000 | + | 187.061i | 1.21348 | + | 0.700605i | ||||
\(268\) | 15.5000 | − | 26.8468i | 0.0578358 | − | 0.100175i | ||||
\(269\) | 187.061i | 0.695396i | 0.937607 | + | 0.347698i | \(0.113037\pi\) | ||||
−0.937607 | + | 0.347698i | \(0.886963\pi\) | |||||||
\(270\) | −162.000 | −0.600000 | ||||||||
\(271\) | −268.000 | −0.988930 | −0.494465 | − | 0.869198i | \(-0.664636\pi\) | ||||
−0.494465 | + | 0.869198i | \(0.664636\pi\) | |||||||
\(272\) | −148.500 | − | 85.7365i | −0.545956 | − | 0.315208i | ||||
\(273\) | 12.0000 | − | 20.7846i | 0.0439560 | − | 0.0761341i | ||||
\(274\) | 163.500 | + | 283.190i | 0.596715 | + | 1.03354i | ||||
\(275\) | 19.5000 | − | 11.2583i | 0.0709091 | − | 0.0409394i | ||||
\(276\) | −72.0000 | + | 41.5692i | −0.260870 | + | 0.150613i | ||||
\(277\) | −28.0000 | + | 48.4974i | −0.101083 | + | 0.175081i | −0.912131 | − | 0.409899i | \(-0.865564\pi\) |
0.811048 | + | 0.584979i | \(0.198897\pi\) | |||||||
\(278\) | 8.66025i | 0.0311520i | ||||||||
\(279\) | −144.000 | + | 249.415i | −0.516129 | + | 0.893962i | ||||
\(280\) | −60.0000 | −0.214286 | ||||||||
\(281\) | −42.0000 | − | 24.2487i | −0.149466 | − | 0.0862943i | 0.423402 | − | 0.905942i | \(-0.360836\pi\) |
−0.572868 | + | 0.819648i | \(0.694169\pi\) | |||||||
\(282\) | −252.000 | −0.893617 | ||||||||
\(283\) | −187.000 | − | 323.894i | −0.660777 | − | 1.14450i | −0.980412 | − | 0.196959i | \(-0.936893\pi\) |
0.319634 | − | 0.947541i | \(-0.396440\pi\) | |||||||
\(284\) | 27.0000 | − | 15.5885i | 0.0950704 | − | 0.0548889i | ||||
\(285\) | 114.315i | 0.401107i | ||||||||
\(286\) | −6.00000 | + | 10.3923i | −0.0209790 | + | 0.0363367i | ||||
\(287\) | − | 24.2487i | − | 0.0844903i | ||||||
\(288\) | −121.500 | − | 70.1481i | −0.421875 | − | 0.243570i | ||||
\(289\) | 46.0000 | 0.159170 | ||||||||
\(290\) | −234.000 | − | 135.100i | −0.806897 | − | 0.465862i | ||||
\(291\) | 172.500 | + | 298.779i | 0.592784 | + | 1.02673i | ||||
\(292\) | −32.5000 | − | 56.2917i | −0.111301 | − | 0.192780i | ||||
\(293\) | 219.000 | − | 126.440i | 0.747440 | − | 0.431535i | −0.0773280 | − | 0.997006i | \(-0.524639\pi\) |
0.824768 | + | 0.565471i | \(0.191306\pi\) | |||||||
\(294\) | 202.500 | + | 116.913i | 0.688776 | + | 0.397665i | ||||
\(295\) | 87.0000 | − | 150.688i | 0.294915 | − | 0.510808i | ||||
\(296\) | − | 294.449i | − | 0.994759i | ||||||
\(297\) | −40.5000 | − | 23.3827i | −0.136364 | − | 0.0787296i | ||||
\(298\) | 264.000 | 0.885906 | ||||||||
\(299\) | −96.0000 | − | 55.4256i | −0.321070 | − | 0.185370i | ||||
\(300\) | −19.5000 | + | 33.7750i | −0.0650000 | + | 0.112583i | ||||
\(301\) | 61.0000 | + | 105.655i | 0.202658 | + | 0.351014i | ||||
\(302\) | 30.0000 | − | 17.3205i | 0.0993377 | − | 0.0573527i | ||||
\(303\) | −117.000 | + | 67.5500i | −0.386139 | + | 0.222937i | ||||
\(304\) | 60.5000 | − | 104.789i | 0.199013 | − | 0.344701i | ||||
\(305\) | 193.990i | 0.636032i | ||||||||
\(306\) | 243.000 | 0.794118 | ||||||||
\(307\) | 533.000 | 1.73616 | 0.868078 | − | 0.496428i | \(-0.165355\pi\) | ||||
0.868078 | + | 0.496428i | \(0.165355\pi\) | |||||||
\(308\) | −3.00000 | − | 1.73205i | −0.00974026 | − | 0.00562354i | ||||
\(309\) | −120.000 | −0.388350 | ||||||||
\(310\) | 96.0000 | + | 166.277i | 0.309677 | + | 0.536377i | ||||
\(311\) | −213.000 | + | 122.976i | −0.684887 | + | 0.395420i | −0.801694 | − | 0.597735i | \(-0.796068\pi\) |
0.116806 | + | 0.993155i | \(0.462734\pi\) | |||||||
\(312\) | − | 103.923i | − | 0.333087i | ||||||
\(313\) | −77.5000 | + | 134.234i | −0.247604 | + | 0.428862i | −0.962860 | − | 0.269999i | \(-0.912976\pi\) |
0.715257 | + | 0.698862i | \(0.246310\pi\) | |||||||
\(314\) | − | 69.2820i | − | 0.220643i | ||||||
\(315\) | 54.0000 | − | 31.1769i | 0.171429 | − | 0.0989743i | ||||
\(316\) | 38.0000 | 0.120253 | ||||||||
\(317\) | −42.0000 | − | 24.2487i | −0.132492 | − | 0.0764944i | 0.432289 | − | 0.901735i | \(-0.357706\pi\) |
−0.564781 | + | 0.825241i | \(0.691039\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −39.0000 | − | 67.5500i | −0.122257 | − | 0.211755i | ||||
\(320\) | −213.000 | + | 122.976i | −0.665625 | + | 0.384299i | ||||
\(321\) | −364.500 | − | 210.444i | −1.13551 | − | 0.655589i | ||||
\(322\) | −48.0000 | + | 83.1384i | −0.149068 | + | 0.258194i | ||||
\(323\) | − | 171.473i | − | 0.530876i | ||||||
\(324\) | 81.0000 | 0.250000 | ||||||||
\(325\) | −52.0000 | −0.160000 | ||||||||
\(326\) | 159.000 | + | 91.7987i | 0.487730 | + | 0.281591i | ||||
\(327\) | 78.0000 | − | 135.100i | 0.238532 | − | 0.413150i | ||||
\(328\) | −52.5000 | − | 90.9327i | −0.160061 | − | 0.277234i | ||||
\(329\) | 84.0000 | − | 48.4974i | 0.255319 | − | 0.147409i | ||||
\(330\) | −27.0000 | + | 15.5885i | −0.0818182 | + | 0.0472377i | ||||
\(331\) | −1.00000 | + | 1.73205i | −0.00302115 | + | 0.00523278i | −0.867532 | − | 0.497381i | \(-0.834295\pi\) |
0.864511 | + | 0.502614i | \(0.167628\pi\) | |||||||
\(332\) | 48.4974i | 0.146077i | ||||||||
\(333\) | 153.000 | + | 265.004i | 0.459459 | + | 0.795807i | ||||
\(334\) | −330.000 | −0.988024 | ||||||||
\(335\) | 93.0000 | + | 53.6936i | 0.277612 | + | 0.160279i | ||||
\(336\) | −66.0000 | −0.196429 | ||||||||
\(337\) | −38.5000 | − | 66.6840i | −0.114243 | − | 0.197875i | 0.803234 | − | 0.595664i | \(-0.203111\pi\) |
−0.917477 | + | 0.397789i | \(0.869778\pi\) | |||||||
\(338\) | −229.500 | + | 132.502i | −0.678994 | + | 0.392017i | ||||
\(339\) | − | 270.200i | − | 0.797050i | ||||||
\(340\) | −27.0000 | + | 46.7654i | −0.0794118 | + | 0.137545i | ||||
\(341\) | 55.4256i | 0.162538i | ||||||||
\(342\) | 171.473i | 0.501383i | ||||||||
\(343\) | −188.000 | −0.548105 | ||||||||
\(344\) | 457.500 | + | 264.138i | 1.32994 | + | 0.767842i | ||||
\(345\) | −144.000 | − | 249.415i | −0.417391 | − | 0.722943i | ||||
\(346\) | −201.000 | − | 348.142i | −0.580925 | − | 1.00619i | ||||
\(347\) | 97.5000 | − | 56.2917i | 0.280980 | − | 0.162224i | −0.352887 | − | 0.935666i | \(-0.614800\pi\) |
0.633867 | + | 0.773442i | \(0.281467\pi\) | |||||||
\(348\) | 117.000 | + | 67.5500i | 0.336207 | + | 0.194109i | ||||
\(349\) | −208.000 | + | 360.267i | −0.595989 | + | 1.03228i | 0.397418 | + | 0.917638i | \(0.369906\pi\) |
−0.993407 | + | 0.114645i | \(0.963427\pi\) | |||||||
\(350\) | 45.0333i | 0.128667i | ||||||||
\(351\) | 54.0000 | + | 93.5307i | 0.153846 | + | 0.266469i | ||||
\(352\) | −27.0000 | −0.0767045 | ||||||||
\(353\) | −1.50000 | − | 0.866025i | −0.00424929 | − | 0.00245333i | 0.497874 | − | 0.867249i | \(-0.334114\pi\) |
−0.502123 | + | 0.864796i | \(0.667448\pi\) | |||||||
\(354\) | 130.500 | − | 226.033i | 0.368644 | − | 0.638510i | ||||
\(355\) | 54.0000 | + | 93.5307i | 0.152113 | + | 0.263467i | ||||
\(356\) | −108.000 | + | 62.3538i | −0.303371 | + | 0.175151i | ||||
\(357\) | −81.0000 | + | 46.7654i | −0.226891 | + | 0.130995i | ||||
\(358\) | −54.0000 | + | 93.5307i | −0.150838 | + | 0.261259i | ||||
\(359\) | − | 592.361i | − | 1.65003i | −0.565110 | − | 0.825016i | \(-0.691166\pi\) | ||
0.565110 | − | 0.825016i | \(-0.308834\pi\) | |||||||
\(360\) | 135.000 | − | 233.827i | 0.375000 | − | 0.649519i | ||||
\(361\) | −240.000 | −0.664820 | ||||||||
\(362\) | 348.000 | + | 200.918i | 0.961326 | + | 0.555022i | ||||
\(363\) | 354.000 | 0.975207 | ||||||||
\(364\) | 4.00000 | + | 6.92820i | 0.0109890 | + | 0.0190335i | ||||
\(365\) | 195.000 | − | 112.583i | 0.534247 | − | 0.308447i | ||||
\(366\) | 290.985i | 0.795040i | ||||||||
\(367\) | 179.000 | − | 310.037i | 0.487738 | − | 0.844788i | −0.512162 | − | 0.858889i | \(-0.671155\pi\) |
0.999901 | + | 0.0141011i | \(0.00448865\pi\) | |||||||
\(368\) | 304.841i | 0.828372i | ||||||||
\(369\) | 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 | ||||
\(373\) | 290.000 | + | 502.295i | 0.777480 | + | 1.34663i | 0.933390 | + | 0.358863i | \(0.116836\pi\) |
−0.155910 | + | 0.987771i | \(0.549831\pi\) | |||||||
\(374\) | 40.5000 | − | 23.3827i | 0.108289 | − | 0.0625206i | ||||
\(375\) | −342.000 | − | 197.454i | −0.912000 | − | 0.526543i | ||||
\(376\) | 210.000 | − | 363.731i | 0.558511 | − | 0.967369i | ||||
\(377\) | 180.133i | 0.477807i | ||||||||
\(378\) | 81.0000 | − | 46.7654i | 0.214286 | − | 0.123718i | ||||
\(379\) | 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 | ||||
\(381\) | 24.0000 | − | 41.5692i | 0.0629921 | − | 0.109106i | ||||
\(382\) | −201.000 | − | 348.142i | −0.526178 | − | 0.911367i | ||||
\(383\) | −483.000 | + | 278.860i | −1.26110 | + | 0.728094i | −0.973287 | − | 0.229593i | \(-0.926260\pi\) |
−0.287810 | + | 0.957688i | \(0.592927\pi\) | |||||||
\(384\) | −157.500 | + | 90.9327i | −0.410156 | + | 0.236804i | ||||
\(385\) | 6.00000 | − | 10.3923i | 0.0155844 | − | 0.0269930i | ||||
\(386\) | − | 458.993i | − | 1.18910i | ||||||
\(387\) | −549.000 | −1.41860 | ||||||||
\(388\) | −115.000 | −0.296392 | ||||||||
\(389\) | −447.000 | − | 258.076i | −1.14910 | − | 0.663433i | −0.200432 | − | 0.979708i | \(-0.564235\pi\) |
−0.948668 | + | 0.316274i | \(0.897568\pi\) | |||||||
\(390\) | 72.0000 | 0.184615 | ||||||||
\(391\) | 216.000 | + | 374.123i | 0.552430 | + | 0.956836i | ||||
\(392\) | −337.500 | + | 194.856i | −0.860969 | + | 0.497081i | ||||
\(393\) | 478.046i | 1.21640i | ||||||||
\(394\) | −108.000 | + | 187.061i | −0.274112 | + | 0.474775i | ||||
\(395\) | 131.636i | 0.333255i | ||||||||
\(396\) | 13.5000 | − | 7.79423i | 0.0340909 | − | 0.0196824i | ||||
\(397\) | 362.000 | 0.911839 | 0.455919 | − | 0.890021i | \(-0.349311\pi\) | ||||
0.455919 | + | 0.890021i | \(0.349311\pi\) | |||||||
\(398\) | −435.000 | − | 251.147i | −1.09296 | − | 0.631024i | ||||
\(399\) | −33.0000 | − | 57.1577i | −0.0827068 | − | 0.143252i | ||||
\(400\) | 71.5000 | + | 123.842i | 0.178750 | + | 0.309604i | ||||
\(401\) | 340.500 | − | 196.588i | 0.849127 | − | 0.490244i | −0.0112291 | − | 0.999937i | \(-0.503574\pi\) |
0.860356 | + | 0.509693i | \(0.170241\pi\) | |||||||
\(402\) | 139.500 | + | 80.5404i | 0.347015 | + | 0.200349i | ||||
\(403\) | 64.0000 | − | 110.851i | 0.158809 | − | 0.275065i | ||||
\(404\) | − | 45.0333i | − | 0.111469i | ||||||
\(405\) | 280.592i | 0.692820i | ||||||||
\(406\) | 156.000 | 0.384236 | ||||||||
\(407\) | 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 | \(-0.253747\pi\) |
−0.968905 | + | 0.247431i | \(0.920414\pi\) | |||||||
\(410\) | 63.0000 | − | 36.3731i | 0.153659 | − | 0.0887148i | ||||
\(411\) | 490.500 | − | 283.190i | 1.19343 | − | 0.689028i | ||||
\(412\) | 20.0000 | − | 34.6410i | 0.0485437 | − | 0.0840801i | ||||
\(413\) | 100.459i | 0.243242i | ||||||||
\(414\) | −216.000 | − | 374.123i | −0.521739 | − | 0.903679i | ||||
\(415\) | −168.000 | −0.404819 | ||||||||
\(416\) | 54.0000 | + | 31.1769i | 0.129808 | + | 0.0749445i | ||||
\(417\) | 15.0000 | 0.0359712 | ||||||||
\(418\) | 16.5000 | + | 28.5788i | 0.0394737 | + | 0.0683704i | ||||
\(419\) | 678.000 | − | 391.443i | 1.61814 | − | 0.934233i | 0.630737 | − | 0.775997i | \(-0.282753\pi\) |
0.987401 | − | 0.158236i | \(-0.0505807\pi\) | |||||||
\(420\) | 20.7846i | 0.0494872i | ||||||||
\(421\) | 341.000 | − | 590.629i | 0.809976 | − | 1.40292i | −0.102903 | − | 0.994691i | \(-0.532813\pi\) |
0.912880 | − | 0.408229i | \(-0.133853\pi\) | |||||||
\(422\) | − | 162.813i | − | 0.385812i | ||||||
\(423\) | 436.477i | 1.03186i | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 175.500 | + | 101.325i | 0.412941 | + | 0.238412i | ||||
\(426\) | 81.0000 | + | 140.296i | 0.190141 | + | 0.329334i | ||||
\(427\) | −56.0000 | − | 96.9948i | −0.131148 | − | 0.227154i | ||||
\(428\) | 121.500 | − | 70.1481i | 0.283879 | − | 0.163897i | ||||
\(429\) | 18.0000 | + | 10.3923i | 0.0419580 | + | 0.0242245i | ||||
\(430\) | −183.000 | + | 316.965i | −0.425581 | + | 0.737129i | ||||
\(431\) | 280.592i | 0.651026i | 0.945538 | + | 0.325513i | \(0.105537\pi\) | ||||
−0.945538 | + | 0.325513i | \(0.894463\pi\) | |||||||
\(432\) | 148.500 | − | 257.210i | 0.343750 | − | 0.595392i | ||||
\(433\) | −295.000 | −0.681293 | −0.340647 | − | 0.940191i | \(-0.610646\pi\) | ||||
−0.340647 | + | 0.940191i | \(0.610646\pi\) | |||||||
\(434\) | −96.0000 | − | 55.4256i | −0.221198 | − | 0.127709i | ||||
\(435\) | −234.000 | + | 405.300i | −0.537931 | + | 0.931724i | ||||
\(436\) | 26.0000 | + | 45.0333i | 0.0596330 | + | 0.103287i | ||||
\(437\) | −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 | −0.132993 | + | 0.991117i | \(0.542459\pi\) |
−0.791836 | + | 0.610734i | \(0.790874\pi\) | |||||||
\(440\) | − | 51.9615i | − | 0.118094i | ||||||
\(441\) | 202.500 | − | 350.740i | 0.459184 | − | 0.795329i | ||||
\(442\) | −108.000 | −0.244344 | ||||||||
\(443\) | 79.5000 | + | 45.8993i | 0.179458 | + | 0.103610i | 0.587038 | − | 0.809559i | \(-0.300294\pi\) |
−0.407580 | + | 0.913170i | \(0.633627\pi\) | |||||||
\(444\) | −102.000 | −0.229730 | ||||||||
\(445\) | −216.000 | − | 374.123i | −0.485393 | − | 0.840726i | ||||
\(446\) | −78.0000 | + | 45.0333i | −0.174888 | + | 0.100972i | ||||
\(447\) | − | 457.261i | − | 1.02296i | ||||||
\(448\) | 71.0000 | − | 122.976i | 0.158482 | − | 0.274499i | ||||
\(449\) | 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 | ||||
\(451\) | 21.0000 | 0.0465632 | ||||||||
\(452\) | 78.0000 | + | 45.0333i | 0.172566 | + | 0.0996312i | ||||
\(453\) | −30.0000 | − | 51.9615i | −0.0662252 | − | 0.114705i | ||||
\(454\) | 163.500 | + | 283.190i | 0.360132 | + | 0.623767i | ||||
\(455\) | −24.0000 | + | 13.8564i | −0.0527473 | + | 0.0304536i | ||||
\(456\) | −247.500 | − | 142.894i | −0.542763 | − | 0.313364i | ||||
\(457\) | −32.5000 | + | 56.2917i | −0.0711160 | + | 0.123176i | −0.899391 | − | 0.437146i | \(-0.855989\pi\) |
0.828275 | + | 0.560322i | \(0.189323\pi\) | |||||||
\(458\) | 460.726i | 1.00595i | ||||||||
\(459\) | − | 420.888i | − | 0.916968i | ||||||
\(460\) | 96.0000 | 0.208696 | ||||||||
\(461\) | −690.000 | − | 398.372i | −1.49675 | − | 0.864147i | −0.496753 | − | 0.867892i | \(-0.665475\pi\) |
−0.999993 | + | 0.00374501i | \(0.998808\pi\) | |||||||
\(462\) | 9.00000 | − | 15.5885i | 0.0194805 | − | 0.0337412i | ||||
\(463\) | −367.000 | − | 635.663i | −0.792657 | − | 1.37292i | −0.924317 | − | 0.381627i | \(-0.875364\pi\) |
0.131660 | − | 0.991295i | \(-0.457969\pi\) | |||||||
\(464\) | 429.000 | − | 247.683i | 0.924569 | − | 0.533800i | ||||
\(465\) | 288.000 | − | 166.277i | 0.619355 | − | 0.357585i | ||||
\(466\) | −175.500 | + | 303.975i | −0.376609 | + | 0.652307i | ||||
\(467\) | 202.650i | 0.433940i | 0.976178 | + | 0.216970i | \(0.0696174\pi\) | ||||
−0.976178 | + | 0.216970i | \(0.930383\pi\) | |||||||
\(468\) | −36.0000 | −0.0769231 | ||||||||
\(469\) | −62.0000 | −0.132196 | ||||||||
\(470\) | 252.000 | + | 145.492i | 0.536170 | + | 0.309558i | ||||
\(471\) | −120.000 | −0.254777 | ||||||||
\(472\) | 217.500 | + | 376.721i | 0.460805 | + | 0.798138i | ||||
\(473\) | −91.5000 | + | 52.8275i | −0.193446 | + | 0.111686i | ||||
\(474\) | 197.454i | 0.416569i | ||||||||
\(475\) | −71.5000 | + | 123.842i | −0.150526 | + | 0.260719i | ||||
\(476\) | − | 31.1769i | − | 0.0654977i | ||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 696.000 | 1.45607 | ||||||||
\(479\) | 525.000 | + | 303.109i | 1.09603 | + | 0.632795i | 0.935176 | − | 0.354183i | \(-0.115241\pi\) |
0.160857 | + | 0.986978i | \(0.448574\pi\) | |||||||
\(480\) | 81.0000 | + | 140.296i | 0.168750 | + | 0.292284i | ||||
\(481\) | −68.0000 | − | 117.779i | −0.141372 | − | 0.244864i | ||||
\(482\) | 178.500 | − | 103.057i | 0.370332 | − | 0.213811i | ||||
\(483\) | 144.000 | + | 83.1384i | 0.298137 | + | 0.172129i | ||||
\(484\) | −59.0000 | + | 102.191i | −0.121901 | + | 0.211138i | ||||
\(485\) | − | 398.372i | − | 0.821385i | ||||||
\(486\) | 420.888i | 0.866025i | ||||||||
\(487\) | −106.000 | −0.217659 | −0.108830 | − | 0.994060i | \(-0.534710\pi\) | ||||
−0.108830 | + | 0.994060i | \(0.534710\pi\) | |||||||
\(488\) | −420.000 | − | 242.487i | −0.860656 | − | 0.496900i | ||||
\(489\) | 159.000 | − | 275.396i | 0.325153 | − | 0.563182i | ||||
\(490\) | −135.000 | − | 233.827i | −0.275510 | − | 0.477198i | ||||
\(491\) | −199.500 | + | 115.181i | −0.406314 | + | 0.234585i | −0.689205 | − | 0.724567i | \(-0.742040\pi\) |
0.282891 | + | 0.959152i | \(0.408707\pi\) | |||||||
\(492\) | −31.5000 | + | 18.1865i | −0.0640244 | + | 0.0369645i | ||||
\(493\) | 351.000 | − | 607.950i | 0.711968 | − | 1.23316i | ||||
\(494\) | − | 76.2102i | − | 0.154272i | ||||||
\(495\) | 27.0000 | + | 46.7654i | 0.0545455 | + | 0.0944755i | ||||
\(496\) | −352.000 | −0.709677 | ||||||||
\(497\) | −54.0000 | − | 31.1769i | −0.108652 | − | 0.0627302i | ||||
\(498\) | −252.000 | −0.506024 | ||||||||
\(499\) | 393.500 | + | 681.562i | 0.788577 | + | 1.36586i | 0.926839 | + | 0.375460i | \(0.122515\pi\) |
−0.138261 | + | 0.990396i | \(0.544151\pi\) | |||||||
\(500\) | 114.000 | − | 65.8179i | 0.228000 | − | 0.131636i | ||||
\(501\) | 571.577i | 1.14087i | ||||||||
\(502\) | 337.500 | − | 584.567i | 0.672311 | − | 1.16448i | ||||
\(503\) | − | 623.538i | − | 1.23964i | −0.784745 | − | 0.619819i | \(-0.787206\pi\) | ||
0.784745 | − | 0.619819i | \(-0.212794\pi\) | |||||||
\(504\) | 155.885i | 0.309295i | ||||||||
\(505\) | 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 | ||||
\(509\) | −186.000 | + | 107.387i | −0.365422 | + | 0.210977i | −0.671457 | − | 0.741044i | \(-0.734331\pi\) |
0.306034 | + | 0.952020i | \(0.400998\pi\) | |||||||
\(510\) | −243.000 | − | 140.296i | −0.476471 | − | 0.275090i | ||||
\(511\) | −65.0000 | + | 112.583i | −0.127202 | + | 0.220320i | ||||
\(512\) | − | 552.524i | − | 1.07915i | ||||||
\(513\) | 297.000 | 0.578947 | ||||||||
\(514\) | −303.000 | −0.589494 | ||||||||
\(515\) | 120.000 | + | 69.2820i | 0.233010 | + | 0.134528i | ||||
\(516\) | 91.5000 | − | 158.483i | 0.177326 | − | 0.307137i | ||||
\(517\) | 42.0000 | + | 72.7461i | 0.0812379 | + | 0.140708i | ||||
\(518\) | −102.000 | + | 58.8897i | −0.196911 | + | 0.113687i | ||||
\(519\) | −603.000 | + | 348.142i | −1.16185 | + | 0.670794i | ||||
\(520\) | −60.0000 | + | 103.923i | −0.115385 | + | 0.199852i | ||||
\(521\) | 202.650i | 0.388963i | 0.980906 | + | 0.194482i | \(0.0623025\pi\) | ||||
−0.980906 | + | 0.194482i | \(0.937698\pi\) | |||||||
\(522\) | −351.000 | + | 607.950i | −0.672414 | + | 1.16465i | ||||
\(523\) | −250.000 | −0.478011 | −0.239006 | − | 0.971018i | \(-0.576821\pi\) | ||||
−0.239006 | + | 0.971018i | \(0.576821\pi\) | |||||||
\(524\) | −138.000 | − | 79.6743i | −0.263359 | − | 0.152050i | ||||
\(525\) | 78.0000 | 0.148571 | ||||||||
\(526\) | −39.0000 | − | 67.5500i | −0.0741445 | − | 0.128422i | ||||
\(527\) | −432.000 | + | 249.415i | −0.819734 | + | 0.473274i | ||||
\(528\) | − | 57.1577i | − | 0.108253i | ||||||
\(529\) | 119.500 | − | 206.980i | 0.225898 | − | 0.391267i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −391.500 | − | 226.033i | −0.737288 | − | 0.425674i | ||||
\(532\) | 22.0000 | 0.0413534 | ||||||||
\(533\) | −42.0000 | − | 24.2487i | −0.0787992 | − | 0.0454948i | ||||
\(534\) | −324.000 | − | 561.184i | −0.606742 | − | 1.05091i | ||||
\(535\) | 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 | ||||
\(539\) | − | 77.9423i | − | 0.144605i | ||||||
\(540\) | −81.0000 | − | 46.7654i | −0.150000 | − | 0.0866025i | ||||
\(541\) | 650.000 | 1.20148 | 0.600739 | − | 0.799445i | \(-0.294873\pi\) | ||||
0.600739 | + | 0.799445i | \(0.294873\pi\) | |||||||
\(542\) | 402.000 | + | 232.095i | 0.741697 | + | 0.428219i | ||||
\(543\) | 348.000 | − | 602.754i | 0.640884 | − | 1.11004i | ||||
\(544\) | −121.500 | − | 210.444i | −0.223346 | − | 0.386846i | ||||
\(545\) | −156.000 | + | 90.0666i | −0.286239 | + | 0.165260i | ||||
\(546\) | −36.0000 | + | 20.7846i | −0.0659341 | + | 0.0380671i | ||||
\(547\) | −311.500 | + | 539.534i | −0.569470 | + | 0.986351i | 0.427149 | + | 0.904181i | \(0.359518\pi\) |
−0.996618 | + | 0.0821692i | \(0.973815\pi\) | |||||||
\(548\) | 188.794i | 0.344514i | ||||||||
\(549\) | 504.000 | 0.918033 | ||||||||
\(550\) | −39.0000 | −0.0709091 | ||||||||
\(551\) | 429.000 | + | 247.683i | 0.778584 | + | 0.449516i | ||||
\(552\) | 720.000 | 1.30435 | ||||||||
\(553\) | −38.0000 | − | 65.8179i | −0.0687161 | − | 0.119020i | ||||
\(554\) | 84.0000 | − | 48.4974i | 0.151625 | − | 0.0875405i | ||||
\(555\) | − | 353.338i | − | 0.636646i | ||||||
\(556\) | −2.50000 | + | 4.33013i | −0.00449640 | + | 0.00778800i | ||||
\(557\) | − | 530.008i | − | 0.951540i | −0.879570 | − | 0.475770i | \(-0.842170\pi\) | ||
0.879570 | − | 0.475770i | \(-0.157830\pi\) | |||||||
\(558\) | 432.000 | − | 249.415i | 0.774194 | − | 0.446981i | ||||
\(559\) | 244.000 | 0.436494 | ||||||||
\(560\) | 66.0000 | + | 38.1051i | 0.117857 | + | 0.0680449i | ||||
\(561\) | −40.5000 | − | 70.1481i | −0.0721925 | − | 0.125041i | ||||
\(562\) | 42.0000 | + | 72.7461i | 0.0747331 | + | 0.129442i | ||||
\(563\) | 97.5000 | − | 56.2917i | 0.173179 | − | 0.0999852i | −0.410905 | − | 0.911678i | \(-0.634787\pi\) |
0.584084 | + | 0.811693i | \(0.301454\pi\) | |||||||
\(564\) | −126.000 | − | 72.7461i | −0.223404 | − | 0.128983i | ||||
\(565\) | −156.000 | + | 270.200i | −0.276106 | + | 0.478230i | ||||
\(566\) | 647.787i | 1.14450i | ||||||||
\(567\) | −81.0000 | − | 140.296i | −0.142857 | − | 0.247436i | ||||
\(568\) | −270.000 | −0.475352 | ||||||||
\(569\) | 565.500 | + | 326.492i | 0.993849 | + | 0.573799i | 0.906423 | − | 0.422372i | \(-0.138802\pi\) |
0.0874263 | + | 0.996171i | \(0.472136\pi\) | |||||||
\(570\) | 99.0000 | − | 171.473i | 0.173684 | − | 0.300830i | ||||
\(571\) | −272.500 | − | 471.984i | −0.477233 | − | 0.826592i | 0.522427 | − | 0.852684i | \(-0.325027\pi\) |
−0.999660 | + | 0.0260926i | \(0.991694\pi\) | |||||||
\(572\) | −6.00000 | + | 3.46410i | −0.0104895 | + | 0.00605612i | ||||
\(573\) | −603.000 | + | 348.142i | −1.05236 | + | 0.607578i | ||||
\(574\) | −21.0000 | + | 36.3731i | −0.0365854 | + | 0.0633677i | ||||
\(575\) | − | 360.267i | − | 0.626551i | ||||||
\(576\) | 319.500 | + | 553.390i | 0.554688 | + | 0.960747i | ||||
\(577\) | −871.000 | −1.50953 | −0.754766 | − | 0.655994i | \(-0.772250\pi\) | ||||
−0.754766 | + | 0.655994i | \(0.772250\pi\) | |||||||
\(578\) | −69.0000 | − | 39.8372i | −0.119377 | − | 0.0689224i | ||||
\(579\) | −795.000 | −1.37306 | ||||||||
\(580\) | −78.0000 | − | 135.100i | −0.134483 | − | 0.232931i | ||||
\(581\) | 84.0000 | − | 48.4974i | 0.144578 | − | 0.0834723i | ||||
\(582\) | − | 597.558i | − | 1.02673i | ||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 562.917i | 0.963898i | ||||||||
\(585\) | − | 124.708i | − | 0.213175i | ||||||
\(586\) | −438.000 | −0.747440 | ||||||||
\(587\) | −1.50000 | − | 0.866025i | −0.00255537 | − | 0.00147534i | 0.498722 | − | 0.866762i | \(-0.333803\pi\) |
−0.501277 | + | 0.865287i | \(0.667136\pi\) | |||||||
\(588\) | 67.5000 | + | 116.913i | 0.114796 | + | 0.198832i | ||||
\(589\) | −176.000 | − | 304.841i | −0.298812 | − | 0.517557i | ||||
\(590\) | −261.000 | + | 150.688i | −0.442373 | + | 0.255404i | ||||
\(591\) | 324.000 | + | 187.061i | 0.548223 | + | 0.316517i | ||||
\(592\) | −187.000 | + | 323.894i | −0.315878 | + | 0.547117i | ||||
\(593\) | − | 187.061i | − | 0.315449i | −0.987483 | − | 0.157725i | \(-0.949584\pi\) | ||
0.987483 | − | 0.157725i | \(-0.0504159\pi\) | |||||||
\(594\) | 40.5000 | + | 70.1481i | 0.0681818 | + | 0.118094i | ||||
\(595\) | 108.000 | 0.181513 | ||||||||
\(596\) | 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 | \(-0.510442\pi\) |
0.849160 | + | 0.528136i | \(0.177109\pi\) | |||||||
\(600\) | 292.500 | − | 168.875i | 0.487500 | − | 0.281458i | ||||
\(601\) | −230.500 | + | 399.238i | −0.383527 | + | 0.664289i | −0.991564 | − | 0.129620i | \(-0.958624\pi\) |
0.608036 | + | 0.793909i | \(0.291958\pi\) | |||||||
\(602\) | − | 211.310i | − | 0.351014i | ||||||
\(603\) | 139.500 | − | 241.621i | 0.231343 | − | 0.400698i | ||||
\(604\) | 20.0000 | 0.0331126 | ||||||||
\(605\) | −354.000 | − | 204.382i | −0.585124 | − | 0.337821i | ||||
\(606\) | 234.000 | 0.386139 | ||||||||
\(607\) | 56.0000 | + | 96.9948i | 0.0922570 | + | 0.159794i | 0.908461 | − | 0.417971i | \(-0.137259\pi\) |
−0.816204 | + | 0.577765i | \(0.803925\pi\) | |||||||
\(608\) | 148.500 | − | 85.7365i | 0.244243 | − | 0.141014i | ||||
\(609\) | − | 270.200i | − | 0.443678i | ||||||
\(610\) | 168.000 | − | 290.985i | 0.275410 | − | 0.477024i | ||||
\(611\) | − | 193.990i | − | 0.317495i | ||||||
\(612\) | 121.500 | + | 70.1481i | 0.198529 | + | 0.114621i | ||||
\(613\) | 902.000 | 1.47145 | 0.735726 | − | 0.677279i | \(-0.236841\pi\) | ||||
0.735726 | + | 0.677279i | \(0.236841\pi\) | |||||||
\(614\) | −799.500 | − | 461.592i | −1.30212 | − | 0.751778i | ||||
\(615\) | −63.0000 | − | 109.119i | −0.102439 | − | 0.177430i | ||||
\(616\) | 15.0000 | + | 25.9808i | 0.0243506 | + | 0.0421766i | ||||
\(617\) | −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 | ||||
\(619\) | 399.500 | − | 691.954i | 0.645396 | − | 1.11786i | −0.338814 | − | 0.940853i | \(-0.610026\pi\) |
0.984210 | − | 0.177005i | \(-0.0566409\pi\) | |||||||
\(620\) | 110.851i | 0.178792i | ||||||||
\(621\) | −648.000 | + | 374.123i | −1.04348 | + | 0.602452i | ||||
\(622\) | 426.000 | 0.684887 | ||||||||
\(623\) | 216.000 | + | 124.708i | 0.346709 | + | 0.200173i | ||||
\(624\) | −66.0000 | + | 114.315i | −0.105769 | + | 0.183198i | ||||
\(625\) | 65.5000 | + | 113.449i | 0.104800 | + | 0.181519i | ||||
\(626\) | 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 | ||||||||
\(630\) | −108.000 | −0.171429 | ||||||||
\(631\) | 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 | ||||
\(633\) | −282.000 | −0.445498 | ||||||||
\(634\) | 42.0000 | + | 72.7461i | 0.0662461 | + | 0.114742i | ||||
\(635\) | −48.0000 | + | 27.7128i | −0.0755906 | + | 0.0436422i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −90.0000 | + | 155.885i | −0.141287 | + | 0.244717i | ||||
\(638\) | 135.100i | 0.211755i | ||||||||
\(639\) | 243.000 | − | 140.296i | 0.380282 | − | 0.219556i | ||||
\(640\) | 210.000 | 0.328125 | ||||||||
\(641\) | −325.500 | − | 187.928i | −0.507800 | − | 0.293179i | 0.224129 | − | 0.974560i | \(-0.428046\pi\) |
−0.731929 | + | 0.681381i | \(0.761380\pi\) | |||||||
\(642\) | 364.500 | + | 631.333i | 0.567757 | + | 0.983384i | ||||
\(643\) | 6.50000 | + | 11.2583i | 0.0101089 | + | 0.0175091i | 0.871036 | − | 0.491220i | \(-0.163449\pi\) |
−0.860927 | + | 0.508729i | \(0.830116\pi\) | |||||||
\(644\) | −48.0000 | + | 27.7128i | −0.0745342 | + | 0.0430323i | ||||
\(645\) | 549.000 | + | 316.965i | 0.851163 | + | 0.491419i | ||||
\(646\) | −148.500 | + | 257.210i | −0.229876 | + | 0.398157i | ||||
\(647\) | − | 467.654i | − | 0.722803i | −0.932410 | − | 0.361402i | \(-0.882298\pi\) | ||
0.932410 | − | 0.361402i | \(-0.117702\pi\) | |||||||
\(648\) | −607.500 | − | 350.740i | −0.937500 | − | 0.541266i | ||||
\(649\) | −87.0000 | −0.134052 | ||||||||
\(650\) | 78.0000 | + | 45.0333i | 0.120000 | + | 0.0692820i | ||||
\(651\) | −96.0000 | + | 166.277i | −0.147465 | + | 0.255418i | ||||
\(652\) | 53.0000 | + | 91.7987i | 0.0812883 | + | 0.140796i | ||||
\(653\) | 327.000 | − | 188.794i | 0.500766 | − | 0.289117i | −0.228264 | − | 0.973599i | \(-0.573305\pi\) |
0.729030 | + | 0.684482i | \(0.239972\pi\) | |||||||
\(654\) | −234.000 | + | 135.100i | −0.357798 | + | 0.206575i | ||||
\(655\) | 276.000 | − | 478.046i | 0.421374 | − | 0.729841i | ||||
\(656\) | 133.368i | 0.203305i | ||||||||
\(657\) | −292.500 | − | 506.625i | −0.445205 | − | 0.771119i | ||||
\(658\) | −168.000 | −0.255319 | ||||||||
\(659\) | −852.000 | − | 491.902i | −1.29287 | − | 0.746438i | −0.313706 | − | 0.949520i | \(-0.601571\pi\) |
−0.979162 | + | 0.203082i | \(0.934904\pi\) | |||||||
\(660\) | −18.0000 | −0.0272727 | ||||||||
\(661\) | 191.000 | + | 330.822i | 0.288956 | + | 0.500487i | 0.973561 | − | 0.228428i | \(-0.0733585\pi\) |
−0.684605 | + | 0.728915i | \(0.740025\pi\) | |||||||
\(662\) | 3.00000 | − | 1.73205i | 0.00453172 | − | 0.00261639i | ||||
\(663\) | 187.061i | 0.282144i | ||||||||
\(664\) | 210.000 | − | 363.731i | 0.316265 | − | 0.547787i | ||||
\(665\) | 76.2102i | 0.114602i | ||||||||
\(666\) | − | 530.008i | − | 0.795807i | ||||||
\(667\) | −1248.00 | −1.87106 | ||||||||
\(668\) | −165.000 | − | 95.2628i | −0.247006 | − | 0.142609i | ||||
\(669\) | 78.0000 | + | 135.100i | 0.116592 | + | 0.201943i | ||||
\(670\) | −93.0000 | − | 161.081i | −0.138806 | − | 0.240419i | ||||
\(671\) | 84.0000 | − | 48.4974i | 0.125186 | − | 0.0722763i | ||||
\(672\) | −81.0000 | − | 46.7654i | −0.120536 | − | 0.0695913i | ||||
\(673\) | −289.000 | + | 500.563i | −0.429421 | + | 0.743778i | −0.996822 | − | 0.0796633i | \(-0.974615\pi\) |
0.567401 | + | 0.823441i | \(0.307949\pi\) | |||||||
\(674\) | 133.368i | 0.197875i | ||||||||
\(675\) | −175.500 | + | 303.975i | −0.260000 | + | 0.450333i | ||||
\(676\) | −153.000 | −0.226331 | ||||||||
\(677\) | 606.000 | + | 349.874i | 0.895126 | + | 0.516801i | 0.875616 | − | 0.483009i | \(-0.160456\pi\) |
0.0195100 | + | 0.999810i | \(0.493789\pi\) | |||||||
\(678\) | −234.000 | + | 405.300i | −0.345133 | + | 0.597787i | ||||
\(679\) | 115.000 | + | 199.186i | 0.169367 | + | 0.293352i | ||||
\(680\) | 405.000 | − | 233.827i | 0.595588 | − | 0.343863i | ||||
\(681\) | 490.500 | − | 283.190i | 0.720264 | − | 0.415845i | ||||
\(682\) | 48.0000 | − | 83.1384i | 0.0703812 | − | 0.121904i | ||||
\(683\) | 1044.43i | 1.52918i | 0.644520 | + | 0.764588i | \(0.277057\pi\) | ||||
−0.644520 | + | 0.764588i | \(0.722943\pi\) | |||||||
\(684\) | −49.5000 | + | 85.7365i | −0.0723684 | + | 0.125346i | ||||
\(685\) | −654.000 | −0.954745 | ||||||||
\(686\) | 282.000 | + | 162.813i | 0.411079 | + | 0.237336i | ||||
\(687\) | 798.000 | 1.16157 | ||||||||
\(688\) | −335.500 | − | 581.103i | −0.487645 | − | 0.844627i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 498.831i | 0.722943i | ||||||||
\(691\) | −91.0000 | + | 157.617i | −0.131693 | + | 0.228099i | −0.924329 | − | 0.381596i | \(-0.875375\pi\) |
0.792636 | + | 0.609695i | \(0.208708\pi\) | |||||||
\(692\) | − | 232.095i | − | 0.335397i | ||||||
\(693\) | −27.0000 | − | 15.5885i | −0.0389610 | − | 0.0224942i | ||||
\(694\) | −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 | ||||
\(698\) | 624.000 | − | 360.267i | 0.893983 | − | 0.516141i | ||||
\(699\) | 526.500 | + | 303.975i | 0.753219 | + | 0.434871i | ||||
\(700\) | −13.0000 | + | 22.5167i | −0.0185714 | + | 0.0321667i | ||||
\(701\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(702\) | − | 187.061i | − | 0.266469i | ||||||
\(703\) | −374.000 | −0.532006 | ||||||||
\(704\) | 106.500 | + | 61.4878i | 0.151278 | + | 0.0873406i | ||||
\(705\) | 252.000 | − | 436.477i | 0.357447 | − | 0.619116i | ||||
\(706\) | 1.50000 | + | 2.59808i | 0.00212465 | + | 0.00367999i | ||||
\(707\) | −78.0000 | + | 45.0333i | −0.110325 | + | 0.0636964i | ||||
\(708\) | 130.500 | − | 75.3442i | 0.184322 | − | 0.106418i | ||||
\(709\) | 350.000 | − | 606.218i | 0.493653 | − | 0.855032i | −0.506320 | − | 0.862346i | \(-0.668995\pi\) |
0.999973 | + | 0.00731341i | \(0.00232795\pi\) | |||||||
\(710\) | − | 187.061i | − | 0.263467i | ||||||
\(711\) | 342.000 | 0.481013 | ||||||||
\(712\) | 1080.00 | 1.51685 | ||||||||
\(713\) | 768.000 | + | 443.405i | 1.07714 | + | 0.621886i | ||||
\(714\) | 162.000 | 0.226891 | ||||||||
\(715\) | −12.0000 | − | 20.7846i | −0.0167832 | − | 0.0290694i | ||||
\(716\) | −54.0000 | + | 31.1769i | −0.0754190 | + | 0.0435432i | ||||
\(717\) | − | 1205.51i | − | 1.68132i | ||||||
\(718\) | −513.000 | + | 888.542i | −0.714485 | + | 1.23752i | ||||
\(719\) | 592.361i | 0.823868i | 0.911214 | + | 0.411934i | \(0.135147\pi\) | ||||
−0.911214 | + | 0.411934i | \(0.864853\pi\) | |||||||
\(720\) | −297.000 | + | 171.473i | −0.412500 | + | 0.238157i | ||||
\(721\) | −80.0000 | −0.110957 | ||||||||
\(722\) | 360.000 | + | 207.846i | 0.498615 | + | 0.287875i | ||||
\(723\) | −178.500 | − | 309.171i | −0.246888 | − | 0.427623i | ||||
\(724\) | 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 | −0.542111 | − | 0.840307i | \(-0.682375\pi\) |
0.998783 | + | 0.0493289i | \(0.0157082\pi\) | |||||||
\(728\) | − | 69.2820i | − | 0.0951676i | ||||||
\(729\) | 729.000 | 1.00000 | ||||||||
\(730\) | −390.000 | −0.534247 | ||||||||
\(731\) | −823.500 | − | 475.448i | −1.12654 | − | 0.650408i | ||||
\(732\) | −84.0000 | + | 145.492i | −0.114754 | + | 0.198760i | ||||
\(733\) | 335.000 | + | 580.237i | 0.457026 | + | 0.791592i | 0.998802 | − | 0.0489306i | \(-0.0155813\pi\) |
−0.541776 | + | 0.840523i | \(0.682248\pi\) | |||||||
\(734\) | −537.000 | + | 310.037i | −0.731608 | + | 0.422394i | ||||
\(735\) | −405.000 | + | 233.827i | −0.551020 | + | 0.318132i | ||||
\(736\) | −216.000 | + | 374.123i | −0.293478 | + | 0.508319i | ||||
\(737\) | − | 53.6936i | − | 0.0728542i | ||||||
\(738\) | −94.5000 | − | 163.679i | −0.128049 | − | 0.221787i | ||||
\(739\) | 317.000 | 0.428958 | 0.214479 | − | 0.976729i | \(-0.431195\pi\) | ||||
0.214479 | + | 0.976729i | \(0.431195\pi\) | |||||||
\(740\) | 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 | \(0.470349\pi\) | |||||||
\(744\) | 831.384i | 1.11745i | ||||||||
\(745\) | −264.000 | + | 457.261i | −0.354362 | + | 0.613774i | ||||
\(746\) | − | 1004.59i | − | 1.34663i | ||||||
\(747\) | 436.477i | 0.584306i | ||||||||
\(748\) | 27.0000 | 0.0360963 | ||||||||
\(749\) | −243.000 | − | 140.296i | −0.324433 | − | 0.187311i | ||||
\(750\) | 342.000 | + | 592.361i | 0.456000 | + | 0.789815i | ||||
\(751\) | −655.000 | − | 1134.49i | −0.872170 | − | 1.51064i | −0.859747 | − | 0.510721i | \(-0.829379\pi\) |
−0.0124237 | − | 0.999923i | \(-0.503955\pi\) | |||||||
\(752\) | −462.000 | + | 266.736i | −0.614362 | + | 0.354702i | ||||
\(753\) | −1012.50 | − | 584.567i | −1.34462 | − | 0.776318i | ||||
\(754\) | 156.000 | − | 270.200i | 0.206897 | − | 0.358355i | ||||
\(755\) | 69.2820i | 0.0917643i | ||||||||
\(756\) | 54.0000 | 0.0714286 | ||||||||
\(757\) | 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 | ||||
\(759\) | −72.0000 | + | 124.708i | −0.0948617 | + | 0.164305i | ||||
\(760\) | 165.000 | + | 285.788i | 0.217105 | + | 0.376037i | ||||
\(761\) | 570.000 | − | 329.090i | 0.749014 | − | 0.432444i | −0.0763232 | − | 0.997083i | \(-0.524318\pi\) |
0.825338 | + | 0.564639i | \(0.190985\pi\) | |||||||
\(762\) | −72.0000 | + | 41.5692i | −0.0944882 | + | 0.0545528i | ||||
\(763\) | 52.0000 | − | 90.0666i | 0.0681520 | − | 0.118043i | ||||
\(764\) | − | 232.095i | − | 0.303789i | ||||||
\(765\) | −243.000 | + | 420.888i | −0.317647 | + | 0.550181i | ||||
\(766\) | 966.000 | 1.26110 | ||||||||
\(767\) | 174.000 | + | 100.459i | 0.226858 | + | 0.130976i | ||||
\(768\) | −537.000 | −0.699219 | ||||||||
\(769\) | −511.000 | − | 885.078i | −0.664499 | − | 1.15095i | −0.979421 | − | 0.201829i | \(-0.935312\pi\) |
0.314921 | − | 0.949118i | \(-0.398022\pi\) | |||||||
\(770\) | −18.0000 | + | 10.3923i | −0.0233766 | + | 0.0134965i | ||||
\(771\) | 524.811i | 0.680689i | ||||||||
\(772\) | 132.500 | − | 229.497i | 0.171632 | − | 0.297276i | ||||
\(773\) | − | 1184.72i | − | 1.53263i | −0.642465 | − | 0.766315i | \(-0.722088\pi\) | ||
0.642465 | − | 0.766315i | \(-0.277912\pi\) | |||||||
\(774\) | 823.500 | + | 475.448i | 1.06395 | + | 0.614274i | ||||
\(775\) | 416.000 | 0.536774 | ||||||||
\(776\) | 862.500 | + | 497.965i | 1.11147 | + | 0.641707i | ||||
\(777\) | 102.000 | + | 176.669i | 0.131274 | + | 0.227373i | ||||
\(778\) | 447.000 | + | 774.227i | 0.574550 | + | 0.995150i | ||||
\(779\) | −115.500 | + | 66.6840i | −0.148267 | + | 0.0856020i | ||||
\(780\) | 36.0000 | + | 20.7846i | 0.0461538 | + | 0.0266469i | ||||
\(781\) | 27.0000 | − | 46.7654i | 0.0345711 | − | 0.0598788i | ||||
\(782\) | − | 748.246i | − | 0.956836i | ||||||
\(783\) | 1053.00 | + | 607.950i | 1.34483 | + | 0.776437i | ||||
\(784\) | 495.000 | 0.631378 | ||||||||
\(785\) | 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 | \(-0.140347\pi\) |
−0.821771 | + | 0.569819i | \(0.807013\pi\) | |||||||
\(788\) | −108.000 | + | 62.3538i | −0.137056 | + | 0.0791292i | ||||
\(789\) | −117.000 | + | 67.5500i | −0.148289 | + | 0.0856147i | ||||
\(790\) | 114.000 | − | 197.454i | 0.144304 | − | 0.249942i | ||||
\(791\) | − | 180.133i | − | 0.227729i | ||||||
\(792\) | −135.000 | −0.170455 | ||||||||
\(793\) | −224.000 | −0.282472 | ||||||||
\(794\) | −543.000 | − | 313.501i | −0.683879 | − | 0.394838i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −145.000 | − | 251.147i | −0.182161 | − | 0.315512i | ||||
\(797\) | 273.000 | − | 157.617i | 0.342535 | − | 0.197762i | −0.318858 | − | 0.947803i | \(-0.603299\pi\) |
0.661392 | + | 0.750040i | \(0.269966\pi\) | |||||||
\(798\) | 114.315i | 0.143252i | ||||||||
\(799\) | −378.000 | + | 654.715i | −0.473091 | + | 0.819418i | ||||
\(800\) | 202.650i | 0.253312i | ||||||||
\(801\) | −972.000 | + | 561.184i | −1.21348 | + | 0.700605i | ||||
\(802\) | −681.000 | −0.849127 | ||||||||
\(803\) | −97.5000 | − | 56.2917i | −0.121420 | − | 0.0701017i | ||||
\(804\) | 46.5000 | + | 80.5404i | 0.0578358 | + | 0.100175i | ||||
\(805\) | −96.0000 | − | 166.277i | −0.119255 | − | 0.206555i | ||||
\(806\) | −192.000 | + | 110.851i | −0.238213 | + | 0.137533i | ||||
\(807\) | −486.000 | − | 280.592i | −0.602230 | − | 0.347698i | ||||
\(808\) | −195.000 | + | 337.750i | −0.241337 | + | 0.418007i | ||||
\(809\) | 140.296i | 0.173419i | 0.996234 | + | 0.0867096i | \(0.0276352\pi\) | ||||
−0.996234 | + | 0.0867096i | \(0.972365\pi\) | |||||||
\(810\) | 243.000 | − | 420.888i | 0.300000 | − | 0.519615i | ||||
\(811\) | 299.000 | 0.368681 | 0.184340 | − | 0.982862i | \(-0.440985\pi\) | ||||
0.184340 | + | 0.982862i | \(0.440985\pi\) | |||||||
\(812\) | 78.0000 | + | 45.0333i | 0.0960591 | + | 0.0554598i | ||||
\(813\) | 402.000 | − | 696.284i | 0.494465 | − | 0.856438i | ||||
\(814\) | −51.0000 | − | 88.3346i | −0.0626536 | − | 0.108519i | ||||
\(815\) | −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 | ||||||||
\(819\) | 36.0000 | + | 62.3538i | 0.0439560 | + | 0.0761341i | ||||
\(820\) | 42.0000 | 0.0512195 | ||||||||
\(821\) | 525.000 | + | 303.109i | 0.639464 | + | 0.369195i | 0.784408 | − | 0.620245i | \(-0.212967\pi\) |
−0.144944 | + | 0.989440i | \(0.546300\pi\) | |||||||
\(822\) | −981.000 | −1.19343 | ||||||||
\(823\) | 407.000 | + | 704.945i | 0.494532 | + | 0.856555i | 0.999980 | − | 0.00630221i | \(-0.00200607\pi\) |
−0.505448 | + | 0.862857i | \(0.668673\pi\) | |||||||
\(824\) | −300.000 | + | 173.205i | −0.364078 | + | 0.210200i | ||||
\(825\) | 67.5500i | 0.0818788i | ||||||||
\(826\) | 87.0000 | − | 150.688i | 0.105327 | − | 0.182432i | ||||
\(827\) | 1434.14i | 1.73415i | 0.498182 | + | 0.867073i | \(0.334001\pi\) | ||||
−0.498182 | + | 0.867073i | \(0.665999\pi\) | |||||||
\(828\) | − | 249.415i | − | 0.301226i | ||||||
\(829\) | −718.000 | −0.866104 | −0.433052 | − | 0.901369i | \(-0.642563\pi\) | ||||
−0.433052 | + | 0.901369i | \(0.642563\pi\) | |||||||
\(830\) | 252.000 | + | 145.492i | 0.303614 | + | 0.175292i | ||||
\(831\) | −84.0000 | − | 145.492i | −0.101083 | − | 0.175081i | ||||
\(832\) | −142.000 | − | 245.951i | −0.170673 | − | 0.295614i | ||||
\(833\) | 607.500 | − | 350.740i | 0.729292 | − | 0.421057i | ||||
\(834\) | −22.5000 | − | 12.9904i | −0.0269784 | − | 0.0155760i | ||||
\(835\) | 330.000 | − | 571.577i | 0.395210 | − | 0.684523i | ||||
\(836\) | 19.0526i | 0.0227901i | ||||||||
\(837\) | −432.000 | − | 748.246i | −0.516129 | − | 0.893962i | ||||
\(838\) | −1356.00 | −1.61814 | ||||||||
\(839\) | −690.000 | − | 398.372i | −0.822408 | − | 0.474817i | 0.0288384 | − | 0.999584i | \(-0.490819\pi\) |
−0.851246 | + | 0.524767i | \(0.824153\pi\) | |||||||
\(840\) | 90.0000 | − | 155.885i | 0.107143 | − | 0.185577i | ||||
\(841\) | 593.500 | + | 1027.97i | 0.705707 | + | 1.22232i | ||||
\(842\) | −1023.00 | + | 590.629i | −1.21496 | + | 0.701460i | ||||
\(843\) | 126.000 | − | 72.7461i | 0.149466 | − | 0.0862943i | ||||
\(844\) | 47.0000 | − | 81.4064i | 0.0556872 | − | 0.0964531i | ||||
\(845\) | − | 530.008i | − | 0.627228i | ||||||
\(846\) | 378.000 | − | 654.715i | 0.446809 | − | 0.773895i | ||||
\(847\) | 236.000 | 0.278630 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 1122.00 | 1.32155 | ||||||||
\(850\) | −175.500 | − | 303.975i | −0.206471 | − | 0.357618i | ||||
\(851\) | 816.000 | − | 471.118i | 0.958872 | − | 0.553605i | ||||
\(852\) | 93.5307i | 0.109778i | ||||||||
\(853\) | −712.000 | + | 1233.22i | −0.834701 | + | 1.44574i | 0.0595725 | + | 0.998224i | \(0.481026\pi\) |
−0.894274 | + | 0.447521i | \(0.852307\pi\) | |||||||
\(854\) | 193.990i | 0.227154i | ||||||||
\(855\) | −297.000 | − | 171.473i | −0.347368 | − | 0.200553i | ||||
\(856\) | −1215.00 | −1.41939 | ||||||||
\(857\) | 606.000 | + | 349.874i | 0.707118 | + | 0.408255i | 0.809993 | − | 0.586440i | \(-0.199471\pi\) |
−0.102875 | + | 0.994694i | \(0.532804\pi\) | |||||||
\(858\) | −18.0000 | − | 31.1769i | −0.0209790 | − | 0.0363367i | ||||
\(859\) | −155.500 | − | 269.334i | −0.181024 | − | 0.313544i | 0.761205 | − | 0.648511i | \(-0.224608\pi\) |
−0.942230 | + | 0.334968i | \(0.891275\pi\) | |||||||
\(860\) | −183.000 | + | 105.655i | −0.212791 | + | 0.122855i | ||||
\(861\) | 63.0000 | + | 36.3731i | 0.0731707 | + | 0.0422451i | ||||
\(862\) | 243.000 | − | 420.888i | 0.281903 | − | 0.488270i | ||||
\(863\) | 1028.84i | 1.19216i | 0.802923 | + | 0.596082i | \(0.203277\pi\) | ||||
−0.802923 | + | 0.596082i | \(0.796723\pi\) | |||||||
\(864\) | 364.500 | − | 210.444i | 0.421875 | − | 0.243570i | ||||
\(865\) | 804.000 | 0.929480 | ||||||||
\(866\) | 442.500 | + | 255.477i | 0.510970 | + | 0.295009i | ||||
\(867\) | −69.0000 | + | 119.512i | −0.0795848 | + | 0.137845i | ||||
\(868\) | −32.0000 | − | 55.4256i | −0.0368664 | − | 0.0638544i | ||||
\(869\) | 57.0000 | − | 32.9090i | 0.0655926 | − | 0.0378699i | ||||
\(870\) | 702.000 | − | 405.300i | 0.806897 | − | 0.465862i | ||||
\(871\) | −62.0000 | + | 107.387i | −0.0711825 | + | 0.123292i | ||||
\(872\) | − | 450.333i | − | 0.516437i | ||||||
\(873\) | −1035.00 | −1.18557 | ||||||||
\(874\) | 528.000 | 0.604119 | ||||||||
\(875\) | −228.000 | − | 131.636i | −0.260571 | − | 0.150441i | ||||
\(876\) | 195.000 | 0.222603 | ||||||||
\(877\) | −52.0000 | − | 90.0666i | −0.0592930 | − | 0.102699i | 0.834855 | − | 0.550470i | \(-0.185551\pi\) |
−0.894148 | + | 0.447771i | \(0.852218\pi\) | |||||||
\(878\) | 1218.00 | − | 703.213i | 1.38724 | − | 0.800926i | ||||
\(879\) | 758.638i | 0.863070i | ||||||||
\(880\) | −33.0000 | + | 57.1577i | −0.0375000 | + | 0.0649519i | ||||
\(881\) | − | 62.3538i | − | 0.0707762i | −0.999374 | − | 0.0353881i | \(-0.988733\pi\) | ||
0.999374 | − | 0.0353881i | \(-0.0112667\pi\) | |||||||
\(882\) | −607.500 | + | 350.740i | −0.688776 | + | 0.397665i | ||||
\(883\) | 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 | ||||
\(887\) | 1029.00 | − | 594.093i | 1.16009 | − | 0.669778i | 0.208765 | − | 0.977966i | \(-0.433056\pi\) |
0.951326 | + | 0.308188i | \(0.0997224\pi\) | |||||||
\(888\) | 765.000 | + | 441.673i | 0.861486 | + | 0.497379i | ||||
\(889\) | 16.0000 | − | 27.7128i | 0.0179978 | − | 0.0311730i | ||||
\(890\) | 748.246i | 0.840726i | ||||||||
\(891\) | 121.500 | − | 70.1481i | 0.136364 | − | 0.0787296i | ||||
\(892\) | −52.0000 | −0.0582960 | ||||||||
\(893\) | −462.000 | − | 266.736i | −0.517357 | − | 0.298696i | ||||
\(894\) | −396.000 | + | 685.892i | −0.442953 | + | 0.767217i | ||||
\(895\) | −108.000 | − | 187.061i | −0.120670 | − | 0.209007i | ||||
\(896\) | −105.000 | + | 60.6218i | −0.117188 | + | 0.0676582i | ||||
\(897\) | 288.000 | − | 166.277i | 0.321070 | − | 0.185370i | ||||
\(898\) | 553.500 | − | 958.690i | 0.616370 | − | 1.06758i | ||||
\(899\) | − | 1441.07i | − | 1.60297i | ||||||
\(900\) | −58.5000 | − | 101.325i | −0.0650000 | − | 0.112583i | ||||
\(901\) | 0 | 0 | ||||||||
\(902\) | −31.5000 | − | 18.1865i | −0.0349224 | − | 0.0201625i | ||||
\(903\) | −366.000 | −0.405316 | ||||||||
\(904\) | −390.000 | − | 675.500i | −0.431416 | − | 0.747234i | ||||
\(905\) | −696.000 | + | 401.836i | −0.769061 | + | 0.444017i | ||||
\(906\) | 103.923i | 0.114705i | ||||||||
\(907\) | −347.500 | + | 601.888i | −0.383131 | + | 0.663603i | −0.991508 | − | 0.130046i | \(-0.958488\pi\) |
0.608377 | + | 0.793648i | \(0.291821\pi\) | |||||||
\(908\) | 188.794i | 0.207922i | ||||||||
\(909\) | − | 405.300i | − | 0.445874i | ||||||
\(910\) | 48.0000 | 0.0527473 | ||||||||
\(911\) | −1500.00 | − | 866.025i | −1.64654 | − | 0.950632i | −0.978432 | − | 0.206569i | \(-0.933770\pi\) |
−0.668110 | − | 0.744062i | \(-0.732897\pi\) | |||||||
\(912\) | 181.500 | + | 314.367i | 0.199013 | + | 0.344701i | ||||
\(913\) | 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 | ||||
\(917\) | 318.697i | 0.347543i | ||||||||
\(918\) | −364.500 | + | 631.333i | −0.397059 | + | 0.687726i | ||||
\(919\) | 56.0000 | 0.0609358 | 0.0304679 | − | 0.999536i | \(-0.490300\pi\) | ||||
0.0304679 | + | 0.999536i | \(0.490300\pi\) | |||||||
\(920\) | −720.000 | − | 415.692i | −0.782609 | − | 0.451839i | ||||
\(921\) | −799.500 | + | 1384.77i | −0.868078 | + | 1.50356i | ||||
\(922\) | 690.000 | + | 1195.12i | 0.748373 | + | 1.29622i | ||||
\(923\) | −108.000 | + | 62.3538i | −0.117010 | + | 0.0675556i | ||||
\(924\) | 9.00000 | − | 5.19615i | 0.00974026 | − | 0.00562354i | ||||
\(925\) | 221.000 | − | 382.783i | 0.238919 | − | 0.413820i | ||||
\(926\) | 1271.33i | 1.37292i | ||||||||
\(927\) | 180.000 | − | 311.769i | 0.194175 | − | 0.336321i | ||||
\(928\) | 702.000 | 0.756466 | ||||||||
\(929\) | −690.000 | − | 398.372i | −0.742734 | − | 0.428818i | 0.0803285 | − | 0.996768i | \(-0.474403\pi\) |
−0.823063 | + | 0.567951i | \(0.807736\pi\) | |||||||
\(930\) | −576.000 | −0.619355 | ||||||||
\(931\) | 247.500 | + | 428.683i | 0.265843 | + | 0.460454i | ||||
\(932\) | −175.500 | + | 101.325i | −0.188305 | + | 0.108718i | ||||
\(933\) | − | 737.854i | − | 0.790840i | ||||||
\(934\) | 175.500 | − | 303.975i | 0.187901 | − | 0.325455i | ||||
\(935\) | 93.5307i | 0.100033i | ||||||||
\(936\) | 270.000 | + | 155.885i | 0.288462 | + | 0.166543i | ||||
\(937\) | 470.000 | 0.501601 | 0.250800 | − | 0.968039i | \(-0.419306\pi\) | ||||
0.250800 | + | 0.968039i | \(0.419306\pi\) | |||||||
\(938\) | 93.0000 | + | 53.6936i | 0.0991471 | + | 0.0572426i | ||||
\(939\) | −232.500 | − | 402.702i | −0.247604 | − | 0.428862i | ||||
\(940\) | 84.0000 | + | 145.492i | 0.0893617 | + | 0.154779i | ||||
\(941\) | −348.000 | + | 200.918i | −0.369819 | + | 0.213515i | −0.673380 | − | 0.739297i | \(-0.735158\pi\) |
0.303560 | + | 0.952812i | \(0.401825\pi\) | |||||||
\(942\) | 180.000 | + | 103.923i | 0.191083 | + | 0.110322i | ||||
\(943\) | 168.000 | − | 290.985i | 0.178155 | − | 0.308573i | ||||
\(944\) | − | 552.524i | − | 0.585301i | ||||||
\(945\) | 187.061i | 0.197949i | ||||||||
\(946\) | 183.000 | 0.193446 | ||||||||
\(947\) | −1.50000 | − | 0.866025i | −0.00158395 | − | 0.000914494i | 0.499208 | − | 0.866482i | \(-0.333624\pi\) |
−0.500792 | + | 0.865568i | \(0.666958\pi\) | |||||||
\(948\) | −57.0000 | + | 98.7269i | −0.0601266 | + | 0.104142i | ||||
\(949\) | 130.000 | + | 225.167i | 0.136986 | + | 0.237267i | ||||
\(950\) | 214.500 | − | 123.842i | 0.225789 | − | 0.130360i | ||||
\(951\) | 126.000 | − | 72.7461i | 0.132492 | − | 0.0764944i | ||||
\(952\) | −135.000 | + | 233.827i | −0.141807 | + | 0.245616i | ||||
\(953\) | − | 826.188i | − | 0.866934i | −0.901169 | − | 0.433467i | \(-0.857290\pi\) | ||
0.901169 | − | 0.433467i | \(-0.142710\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 804.000 | 0.841885 | ||||||||
\(956\) | 348.000 | + | 200.918i | 0.364017 | + | 0.210165i | ||||
\(957\) | 234.000 | 0.244514 | ||||||||
\(958\) | −525.000 | − | 909.327i | −0.548017 | − | 0.949193i | ||||
\(959\) | 327.000 | − | 188.794i | 0.340980 | − | 0.196865i | ||||
\(960\) | − | 737.854i | − | 0.768598i | ||||||
\(961\) | −31.5000 | + | 54.5596i | −0.0327784 | + | 0.0567738i | ||||
\(962\) | 235.559i | 0.244864i | ||||||||
\(963\) | 1093.50 | − | 631.333i | 1.13551 | − | 0.655589i | ||||
\(964\) | 119.000 | 0.123444 | ||||||||
\(965\) | 795.000 | + | 458.993i | 0.823834 | + | 0.475641i | ||||
\(966\) | −144.000 | − | 249.415i | −0.149068 | − | 0.258194i | ||||
\(967\) | −601.000 | − | 1040.96i | −0.621510 | − | 1.07649i | −0.989205 | − | 0.146540i | \(-0.953186\pi\) |
0.367695 | − | 0.929946i | \(-0.380147\pi\) | |||||||
\(968\) | 885.000 | − | 510.955i | 0.914256 | − | 0.527846i | ||||
\(969\) | 445.500 | + | 257.210i | 0.459752 | + | 0.265438i | ||||
\(970\) | −345.000 | + | 597.558i | −0.355670 | + | 0.616039i | ||||
\(971\) | 187.061i | 0.192648i | 0.995350 | + | 0.0963241i | \(0.0307085\pi\) | ||||
−0.995350 | + | 0.0963241i | \(0.969291\pi\) | |||||||
\(972\) | −121.500 | + | 210.444i | −0.125000 | + | 0.216506i | ||||
\(973\) | 10.0000 | 0.0102775 | ||||||||
\(974\) | 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 | \(-0.735194\pi\) |
0.303453 | + | 0.952847i | \(0.401861\pi\) | |||||||
\(978\) | −477.000 | + | 275.396i | −0.487730 | + | 0.281591i | ||||
\(979\) | −108.000 | + | 187.061i | −0.110317 | + | 0.191074i | ||||
\(980\) | − | 155.885i | − | 0.159066i | ||||||
\(981\) | 234.000 | + | 405.300i | 0.238532 | + | 0.413150i | ||||
\(982\) | 399.000 | 0.406314 | ||||||||
\(983\) | 1011.00 | + | 583.701i | 1.02848 | + | 0.593796i | 0.916550 | − | 0.399920i | \(-0.130962\pi\) |
0.111934 | + | 0.993716i | \(0.464295\pi\) | |||||||
\(984\) | 315.000 | 0.320122 | ||||||||
\(985\) | −216.000 | − | 374.123i | −0.219289 | − | 0.379820i | ||||
\(986\) | −1053.00 | + | 607.950i | −1.06795 | + | 0.616582i | ||||
\(987\) | 290.985i | 0.294817i | ||||||||
\(988\) | 22.0000 | − | 38.1051i | 0.0222672 | − | 0.0385679i | ||||
\(989\) | 1690.48i | 1.70928i | ||||||||
\(990\) | − | 93.5307i | − | 0.0944755i | ||||||
\(991\) | −1420.00 | −1.43290 | −0.716448 | − | 0.697640i | \(-0.754233\pi\) | ||||
−0.716448 | + | 0.697640i | \(0.754233\pi\) | |||||||
\(992\) | −432.000 | − | 249.415i | −0.435484 | − | 0.251427i | ||||
\(993\) | −3.00000 | − | 5.19615i | −0.00302115 | − | 0.00523278i | ||||
\(994\) | 54.0000 | + | 93.5307i | 0.0543260 | + | 0.0940953i | ||||
\(995\) | 870.000 | − | 502.295i | 0.874372 | − | 0.504819i | ||||
\(996\) | −126.000 | − | 72.7461i | −0.126506 | − | 0.0730383i | ||||
\(997\) | −262.000 | + | 453.797i | −0.262788 | + | 0.455163i | −0.966982 | − | 0.254845i | \(-0.917975\pi\) |
0.704193 | + | 0.710008i | \(0.251309\pi\) | |||||||
\(998\) | − | 1363.12i | − | 1.36586i | ||||||
\(999\) | −918.000 | −0.918919 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))