Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1050,2,Mod(499,1050)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1050, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1050.499");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1050 = 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1050.o (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: | \(8.38429221223\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 42) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 499.2 | ||
Root | \(0.866025 - 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1050.499 |
Dual form | 1050.2.o.b.949.2 |
$q$-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 \(\left(\mathbb{Z}/1050\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(451\) | \(701\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | + | 0.500000i | 0.612372 | + | 0.353553i | ||||
\(3\) | −0.866025 | + | 0.500000i | −0.500000 | + | 0.288675i | ||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −1.00000 | −0.408248 | ||||||||
\(7\) | −0.866025 | + | 2.50000i | −0.327327 | + | 0.944911i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 0.500000 | − | 0.866025i | 0.166667 | − | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.50000 | − | 2.59808i | −0.452267 | − | 0.783349i | 0.546259 | − | 0.837616i | \(-0.316051\pi\) |
−0.998526 | + | 0.0542666i | \(0.982718\pi\) | |||||||
\(12\) | −0.866025 | − | 0.500000i | −0.250000 | − | 0.144338i | ||||
\(13\) | 4.00000i | 1.10940i | 0.832050 | + | 0.554700i | \(0.187167\pi\) | ||||
−0.832050 | + | 0.554700i | \(0.812833\pi\) | |||||||
\(14\) | −2.00000 | + | 1.73205i | −0.534522 | + | 0.462910i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(18\) | 0.866025 | − | 0.500000i | 0.204124 | − | 0.117851i | ||||
\(19\) | −2.00000 | + | 3.46410i | −0.458831 | + | 0.794719i | −0.998899 | − | 0.0469020i | \(-0.985065\pi\) |
0.540068 | + | 0.841621i | \(0.318398\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.500000 | − | 2.59808i | −0.109109 | − | 0.566947i | ||||
\(22\) | − | 3.00000i | − | 0.639602i | ||||||
\(23\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(24\) | −0.500000 | − | 0.866025i | −0.102062 | − | 0.176777i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −2.00000 | + | 3.46410i | −0.392232 | + | 0.679366i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | −2.59808 | + | 0.500000i | −0.490990 | + | 0.0944911i | ||||
\(29\) | −9.00000 | −1.67126 | −0.835629 | − | 0.549294i | \(-0.814897\pi\) | ||||
−0.835629 | + | 0.549294i | \(0.814897\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.500000 | + | 0.866025i | 0.0898027 | + | 0.155543i | 0.907428 | − | 0.420208i | \(-0.138043\pi\) |
−0.817625 | + | 0.575751i | \(0.804710\pi\) | |||||||
\(32\) | −0.866025 | + | 0.500000i | −0.153093 | + | 0.0883883i | ||||
\(33\) | 2.59808 | + | 1.50000i | 0.452267 | + | 0.261116i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.00000 | 0.166667 | ||||||||
\(37\) | −6.92820 | − | 4.00000i | −1.13899 | − | 0.657596i | −0.192809 | − | 0.981236i | \(-0.561760\pi\) |
−0.946180 | + | 0.323640i | \(0.895093\pi\) | |||||||
\(38\) | −3.46410 | + | 2.00000i | −0.561951 | + | 0.324443i | ||||
\(39\) | −2.00000 | − | 3.46410i | −0.320256 | − | 0.554700i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(42\) | 0.866025 | − | 2.50000i | 0.133631 | − | 0.385758i | ||||
\(43\) | 10.0000i | 1.52499i | 0.646997 | + | 0.762493i | \(0.276025\pi\) | ||||
−0.646997 | + | 0.762493i | \(0.723975\pi\) | |||||||
\(44\) | 1.50000 | − | 2.59808i | 0.226134 | − | 0.391675i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 5.19615 | + | 3.00000i | 0.757937 | + | 0.437595i | 0.828554 | − | 0.559908i | \(-0.189164\pi\) |
−0.0706177 | + | 0.997503i | \(0.522497\pi\) | |||||||
\(48\) | − | 1.00000i | − | 0.144338i | ||||||
\(49\) | −5.50000 | − | 4.33013i | −0.785714 | − | 0.618590i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −3.46410 | + | 2.00000i | −0.480384 | + | 0.277350i | ||||
\(53\) | 2.59808 | − | 1.50000i | 0.356873 | − | 0.206041i | −0.310835 | − | 0.950464i | \(-0.600609\pi\) |
0.667708 | + | 0.744423i | \(0.267275\pi\) | |||||||
\(54\) | −0.500000 | + | 0.866025i | −0.0680414 | + | 0.117851i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −2.50000 | − | 0.866025i | −0.334077 | − | 0.115728i | ||||
\(57\) | − | 4.00000i | − | 0.529813i | ||||||
\(58\) | −7.79423 | − | 4.50000i | −1.02343 | − | 0.590879i | ||||
\(59\) | 1.50000 | + | 2.59808i | 0.195283 | + | 0.338241i | 0.946993 | − | 0.321253i | \(-0.104104\pi\) |
−0.751710 | + | 0.659494i | \(0.770771\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.00000 | − | 8.66025i | 0.640184 | − | 1.10883i | −0.345207 | − | 0.938527i | \(-0.612191\pi\) |
0.985391 | − | 0.170305i | \(-0.0544754\pi\) | |||||||
\(62\) | 1.00000i | 0.127000i | ||||||||
\(63\) | 1.73205 | + | 2.00000i | 0.218218 | + | 0.251976i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 1.50000 | + | 2.59808i | 0.184637 | + | 0.319801i | ||||
\(67\) | −8.66025 | + | 5.00000i | −1.05802 | + | 0.610847i | −0.924883 | − | 0.380251i | \(-0.875838\pi\) |
−0.133135 | + | 0.991098i | \(0.542504\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −6.00000 | −0.712069 | −0.356034 | − | 0.934473i | \(-0.615871\pi\) | ||||
−0.356034 | + | 0.934473i | \(0.615871\pi\) | |||||||
\(72\) | 0.866025 | + | 0.500000i | 0.102062 | + | 0.0589256i | ||||
\(73\) | −1.73205 | + | 1.00000i | −0.202721 | + | 0.117041i | −0.597924 | − | 0.801553i | \(-0.704008\pi\) |
0.395203 | + | 0.918594i | \(0.370674\pi\) | |||||||
\(74\) | −4.00000 | − | 6.92820i | −0.464991 | − | 0.805387i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −4.00000 | −0.458831 | ||||||||
\(77\) | 7.79423 | − | 1.50000i | 0.888235 | − | 0.170941i | ||||
\(78\) | − | 4.00000i | − | 0.452911i | ||||||
\(79\) | −0.500000 | + | 0.866025i | −0.0562544 | + | 0.0974355i | −0.892781 | − | 0.450490i | \(-0.851249\pi\) |
0.836527 | + | 0.547926i | \(0.184582\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 9.00000i | 0.987878i | 0.869496 | + | 0.493939i | \(0.164443\pi\) | ||||
−0.869496 | + | 0.493939i | \(0.835557\pi\) | |||||||
\(84\) | 2.00000 | − | 1.73205i | 0.218218 | − | 0.188982i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −5.00000 | + | 8.66025i | −0.539164 | + | 0.933859i | ||||
\(87\) | 7.79423 | − | 4.50000i | 0.835629 | − | 0.482451i | ||||
\(88\) | 2.59808 | − | 1.50000i | 0.276956 | − | 0.159901i | ||||
\(89\) | 3.00000 | − | 5.19615i | 0.317999 | − | 0.550791i | −0.662071 | − | 0.749441i | \(-0.730322\pi\) |
0.980071 | + | 0.198650i | \(0.0636557\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −10.0000 | − | 3.46410i | −1.04828 | − | 0.363137i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.866025 | − | 0.500000i | −0.0898027 | − | 0.0518476i | ||||
\(94\) | 3.00000 | + | 5.19615i | 0.309426 | + | 0.535942i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0.500000 | − | 0.866025i | 0.0510310 | − | 0.0883883i | ||||
\(97\) | − | 1.00000i | − | 0.101535i | −0.998711 | − | 0.0507673i | \(-0.983833\pi\) | ||
0.998711 | − | 0.0507673i | \(-0.0161667\pi\) | |||||||
\(98\) | −2.59808 | − | 6.50000i | −0.262445 | − | 0.656599i | ||||
\(99\) | −3.00000 | −0.301511 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 9.00000 | + | 15.5885i | 0.895533 | + | 1.55111i | 0.833143 | + | 0.553058i | \(0.186539\pi\) |
0.0623905 | + | 0.998052i | \(0.480128\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.92820 | + | 4.00000i | 0.682656 | + | 0.394132i | 0.800855 | − | 0.598858i | \(-0.204379\pi\) |
−0.118199 | + | 0.992990i | \(0.537712\pi\) | |||||||
\(104\) | −4.00000 | −0.392232 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.00000 | 0.291386 | ||||||||
\(107\) | 2.59808 | + | 1.50000i | 0.251166 | + | 0.145010i | 0.620298 | − | 0.784366i | \(-0.287012\pi\) |
−0.369132 | + | 0.929377i | \(0.620345\pi\) | |||||||
\(108\) | −0.866025 | + | 0.500000i | −0.0833333 | + | 0.0481125i | ||||
\(109\) | 7.00000 | + | 12.1244i | 0.670478 | + | 1.16130i | 0.977769 | + | 0.209687i | \(0.0672444\pi\) |
−0.307290 | + | 0.951616i | \(0.599422\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 8.00000 | 0.759326 | ||||||||
\(112\) | −1.73205 | − | 2.00000i | −0.163663 | − | 0.188982i | ||||
\(113\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(114\) | 2.00000 | − | 3.46410i | 0.187317 | − | 0.324443i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −4.50000 | − | 7.79423i | −0.417815 | − | 0.723676i | ||||
\(117\) | 3.46410 | + | 2.00000i | 0.320256 | + | 0.184900i | ||||
\(118\) | 3.00000i | 0.276172i | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.00000 | − | 1.73205i | 0.0909091 | − | 0.157459i | ||||
\(122\) | 8.66025 | − | 5.00000i | 0.784063 | − | 0.452679i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.500000 | + | 0.866025i | −0.0449013 | + | 0.0777714i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0.500000 | + | 2.59808i | 0.0445435 | + | 0.231455i | ||||
\(127\) | 5.00000i | 0.443678i | 0.975083 | + | 0.221839i | \(0.0712060\pi\) | ||||
−0.975083 | + | 0.221839i | \(0.928794\pi\) | |||||||
\(128\) | −0.866025 | − | 0.500000i | −0.0765466 | − | 0.0441942i | ||||
\(129\) | −5.00000 | − | 8.66025i | −0.440225 | − | 0.762493i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 4.50000 | − | 7.79423i | 0.393167 | − | 0.680985i | −0.599699 | − | 0.800226i | \(-0.704713\pi\) |
0.992865 | + | 0.119241i | \(0.0380462\pi\) | |||||||
\(132\) | 3.00000i | 0.261116i | ||||||||
\(133\) | −6.92820 | − | 8.00000i | −0.600751 | − | 0.693688i | ||||
\(134\) | −10.0000 | −0.863868 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 15.5885 | − | 9.00000i | 1.33181 | − | 0.768922i | 0.346235 | − | 0.938148i | \(-0.387460\pi\) |
0.985577 | + | 0.169226i | \(0.0541268\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.00000 | −0.169638 | −0.0848189 | − | 0.996396i | \(-0.527031\pi\) | ||||
−0.0848189 | + | 0.996396i | \(0.527031\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −6.00000 | −0.505291 | ||||||||
\(142\) | −5.19615 | − | 3.00000i | −0.436051 | − | 0.251754i | ||||
\(143\) | 10.3923 | − | 6.00000i | 0.869048 | − | 0.501745i | ||||
\(144\) | 0.500000 | + | 0.866025i | 0.0416667 | + | 0.0721688i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −2.00000 | −0.165521 | ||||||||
\(147\) | 6.92820 | + | 1.00000i | 0.571429 | + | 0.0824786i | ||||
\(148\) | − | 8.00000i | − | 0.657596i | ||||||
\(149\) | 9.00000 | − | 15.5885i | 0.737309 | − | 1.27706i | −0.216394 | − | 0.976306i | \(-0.569430\pi\) |
0.953703 | − | 0.300750i | \(-0.0972370\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.500000 | + | 0.866025i | 0.0406894 | + | 0.0704761i | 0.885653 | − | 0.464348i | \(-0.153711\pi\) |
−0.844963 | + | 0.534824i | \(0.820378\pi\) | |||||||
\(152\) | −3.46410 | − | 2.00000i | −0.280976 | − | 0.162221i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 7.50000 | + | 2.59808i | 0.604367 | + | 0.209359i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 2.00000 | − | 3.46410i | 0.160128 | − | 0.277350i | ||||
\(157\) | −3.46410 | + | 2.00000i | −0.276465 | + | 0.159617i | −0.631822 | − | 0.775113i | \(-0.717693\pi\) |
0.355357 | + | 0.934731i | \(0.384359\pi\) | |||||||
\(158\) | −0.866025 | + | 0.500000i | −0.0688973 | + | 0.0397779i | ||||
\(159\) | −1.50000 | + | 2.59808i | −0.118958 | + | 0.206041i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | − | 1.00000i | − | 0.0785674i | ||||||
\(163\) | −13.8564 | − | 8.00000i | −1.08532 | − | 0.626608i | −0.152992 | − | 0.988227i | \(-0.548891\pi\) |
−0.932326 | + | 0.361619i | \(0.882224\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −4.50000 | + | 7.79423i | −0.349268 | + | 0.604949i | ||||
\(167\) | 6.00000i | 0.464294i | 0.972681 | + | 0.232147i | \(0.0745750\pi\) | ||||
−0.972681 | + | 0.232147i | \(0.925425\pi\) | |||||||
\(168\) | 2.59808 | − | 0.500000i | 0.200446 | − | 0.0385758i | ||||
\(169\) | −3.00000 | −0.230769 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 2.00000 | + | 3.46410i | 0.152944 | + | 0.264906i | ||||
\(172\) | −8.66025 | + | 5.00000i | −0.660338 | + | 0.381246i | ||||
\(173\) | 15.5885 | + | 9.00000i | 1.18517 | + | 0.684257i | 0.957205 | − | 0.289412i | \(-0.0934598\pi\) |
0.227964 | + | 0.973670i | \(0.426793\pi\) | |||||||
\(174\) | 9.00000 | 0.682288 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 3.00000 | 0.226134 | ||||||||
\(177\) | −2.59808 | − | 1.50000i | −0.195283 | − | 0.112747i | ||||
\(178\) | 5.19615 | − | 3.00000i | 0.389468 | − | 0.224860i | ||||
\(179\) | 6.00000 | + | 10.3923i | 0.448461 | + | 0.776757i | 0.998286 | − | 0.0585225i | \(-0.0186389\pi\) |
−0.549825 | + | 0.835280i | \(0.685306\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 8.00000 | 0.594635 | 0.297318 | − | 0.954779i | \(-0.403908\pi\) | ||||
0.297318 | + | 0.954779i | \(0.403908\pi\) | |||||||
\(182\) | −6.92820 | − | 8.00000i | −0.513553 | − | 0.592999i | ||||
\(183\) | 10.0000i | 0.739221i | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −0.500000 | − | 0.866025i | −0.0366618 | − | 0.0635001i | ||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 6.00000i | 0.437595i | ||||||||
\(189\) | −2.50000 | − | 0.866025i | −0.181848 | − | 0.0629941i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(192\) | 0.866025 | − | 0.500000i | 0.0625000 | − | 0.0360844i | ||||
\(193\) | 16.4545 | − | 9.50000i | 1.18442 | − | 0.683825i | 0.227387 | − | 0.973805i | \(-0.426982\pi\) |
0.957033 | + | 0.289980i | \(0.0936485\pi\) | |||||||
\(194\) | 0.500000 | − | 0.866025i | 0.0358979 | − | 0.0621770i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.00000 | − | 6.92820i | 0.0714286 | − | 0.494872i | ||||
\(197\) | 6.00000i | 0.427482i | 0.976890 | + | 0.213741i | \(0.0685649\pi\) | ||||
−0.976890 | + | 0.213741i | \(0.931435\pi\) | |||||||
\(198\) | −2.59808 | − | 1.50000i | −0.184637 | − | 0.106600i | ||||
\(199\) | 10.0000 | + | 17.3205i | 0.708881 | + | 1.22782i | 0.965272 | + | 0.261245i | \(0.0841331\pi\) |
−0.256391 | + | 0.966573i | \(0.582534\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 5.00000 | − | 8.66025i | 0.352673 | − | 0.610847i | ||||
\(202\) | 18.0000i | 1.26648i | ||||||||
\(203\) | 7.79423 | − | 22.5000i | 0.547048 | − | 1.57919i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 4.00000 | + | 6.92820i | 0.278693 | + | 0.482711i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −3.46410 | − | 2.00000i | −0.240192 | − | 0.138675i | ||||
\(209\) | 12.0000 | 0.830057 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 14.0000 | 0.963800 | 0.481900 | − | 0.876226i | \(-0.339947\pi\) | ||||
0.481900 | + | 0.876226i | \(0.339947\pi\) | |||||||
\(212\) | 2.59808 | + | 1.50000i | 0.178437 | + | 0.103020i | ||||
\(213\) | 5.19615 | − | 3.00000i | 0.356034 | − | 0.205557i | ||||
\(214\) | 1.50000 | + | 2.59808i | 0.102538 | + | 0.177601i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −1.00000 | −0.0680414 | ||||||||
\(217\) | −2.59808 | + | 0.500000i | −0.176369 | + | 0.0339422i | ||||
\(218\) | 14.0000i | 0.948200i | ||||||||
\(219\) | 1.00000 | − | 1.73205i | 0.0675737 | − | 0.117041i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 6.92820 | + | 4.00000i | 0.464991 | + | 0.268462i | ||||
\(223\) | 19.0000i | 1.27233i | 0.771551 | + | 0.636167i | \(0.219481\pi\) | ||||
−0.771551 | + | 0.636167i | \(0.780519\pi\) | |||||||
\(224\) | −0.500000 | − | 2.59808i | −0.0334077 | − | 0.173591i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −23.3827 | + | 13.5000i | −1.55196 | + | 0.896026i | −0.553981 | + | 0.832529i | \(0.686892\pi\) |
−0.997982 | + | 0.0634974i | \(0.979775\pi\) | |||||||
\(228\) | 3.46410 | − | 2.00000i | 0.229416 | − | 0.132453i | ||||
\(229\) | −2.00000 | + | 3.46410i | −0.132164 | + | 0.228914i | −0.924510 | − | 0.381157i | \(-0.875526\pi\) |
0.792347 | + | 0.610071i | \(0.208859\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −6.00000 | + | 5.19615i | −0.394771 | + | 0.341882i | ||||
\(232\) | − | 9.00000i | − | 0.590879i | ||||||
\(233\) | −20.7846 | − | 12.0000i | −1.36165 | − | 0.786146i | −0.371802 | − | 0.928312i | \(-0.621260\pi\) |
−0.989843 | + | 0.142166i | \(0.954593\pi\) | |||||||
\(234\) | 2.00000 | + | 3.46410i | 0.130744 | + | 0.226455i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −1.50000 | + | 2.59808i | −0.0976417 | + | 0.169120i | ||||
\(237\) | − | 1.00000i | − | 0.0649570i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 24.0000 | 1.55243 | 0.776215 | − | 0.630468i | \(-0.217137\pi\) | ||||
0.776215 | + | 0.630468i | \(0.217137\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.500000 | + | 0.866025i | 0.0322078 | + | 0.0557856i | 0.881680 | − | 0.471848i | \(-0.156413\pi\) |
−0.849472 | + | 0.527633i | \(0.823079\pi\) | |||||||
\(242\) | 1.73205 | − | 1.00000i | 0.111340 | − | 0.0642824i | ||||
\(243\) | 0.866025 | + | 0.500000i | 0.0555556 | + | 0.0320750i | ||||
\(244\) | 10.0000 | 0.640184 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −13.8564 | − | 8.00000i | −0.881662 | − | 0.509028i | ||||
\(248\) | −0.866025 | + | 0.500000i | −0.0549927 | + | 0.0317500i | ||||
\(249\) | −4.50000 | − | 7.79423i | −0.285176 | − | 0.493939i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 27.0000 | 1.70422 | 0.852112 | − | 0.523359i | \(-0.175321\pi\) | ||||
0.852112 | + | 0.523359i | \(0.175321\pi\) | |||||||
\(252\) | −0.866025 | + | 2.50000i | −0.0545545 | + | 0.157485i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −2.50000 | + | 4.33013i | −0.156864 | + | 0.271696i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −5.19615 | − | 3.00000i | −0.324127 | − | 0.187135i | 0.329104 | − | 0.944294i | \(-0.393253\pi\) |
−0.653231 | + | 0.757159i | \(0.726587\pi\) | |||||||
\(258\) | − | 10.0000i | − | 0.622573i | ||||||
\(259\) | 16.0000 | − | 13.8564i | 0.994192 | − | 0.860995i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −4.50000 | + | 7.79423i | −0.278543 | + | 0.482451i | ||||
\(262\) | 7.79423 | − | 4.50000i | 0.481529 | − | 0.278011i | ||||
\(263\) | 5.19615 | − | 3.00000i | 0.320408 | − | 0.184988i | −0.331166 | − | 0.943572i | \(-0.607442\pi\) |
0.651575 | + | 0.758585i | \(0.274109\pi\) | |||||||
\(264\) | −1.50000 | + | 2.59808i | −0.0923186 | + | 0.159901i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −2.00000 | − | 10.3923i | −0.122628 | − | 0.637193i | ||||
\(267\) | 6.00000i | 0.367194i | ||||||||
\(268\) | −8.66025 | − | 5.00000i | −0.529009 | − | 0.305424i | ||||
\(269\) | 10.5000 | + | 18.1865i | 0.640196 | + | 1.10885i | 0.985389 | + | 0.170321i | \(0.0544803\pi\) |
−0.345192 | + | 0.938532i | \(0.612186\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −5.50000 | + | 9.52628i | −0.334101 | + | 0.578680i | −0.983312 | − | 0.181928i | \(-0.941766\pi\) |
0.649211 | + | 0.760609i | \(0.275099\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 10.3923 | − | 2.00000i | 0.628971 | − | 0.121046i | ||||
\(274\) | 18.0000 | 1.08742 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 6.92820 | − | 4.00000i | 0.416275 | − | 0.240337i | −0.277207 | − | 0.960810i | \(-0.589409\pi\) |
0.693482 | + | 0.720473i | \(0.256075\pi\) | |||||||
\(278\) | −1.73205 | − | 1.00000i | −0.103882 | − | 0.0599760i | ||||
\(279\) | 1.00000 | 0.0598684 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 6.00000 | 0.357930 | 0.178965 | − | 0.983855i | \(-0.442725\pi\) | ||||
0.178965 | + | 0.983855i | \(0.442725\pi\) | |||||||
\(282\) | −5.19615 | − | 3.00000i | −0.309426 | − | 0.178647i | ||||
\(283\) | −12.1244 | + | 7.00000i | −0.720718 | + | 0.416107i | −0.815017 | − | 0.579437i | \(-0.803272\pi\) |
0.0942988 | + | 0.995544i | \(0.469939\pi\) | |||||||
\(284\) | −3.00000 | − | 5.19615i | −0.178017 | − | 0.308335i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 12.0000 | 0.709575 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 1.00000i | 0.0589256i | ||||||||
\(289\) | −8.50000 | + | 14.7224i | −0.500000 | + | 0.866025i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.500000 | + | 0.866025i | 0.0293105 | + | 0.0507673i | ||||
\(292\) | −1.73205 | − | 1.00000i | −0.101361 | − | 0.0585206i | ||||
\(293\) | − | 33.0000i | − | 1.92788i | −0.266119 | − | 0.963940i | \(-0.585741\pi\) | ||
0.266119 | − | 0.963940i | \(-0.414259\pi\) | |||||||
\(294\) | 5.50000 | + | 4.33013i | 0.320767 | + | 0.252538i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 4.00000 | − | 6.92820i | 0.232495 | − | 0.402694i | ||||
\(297\) | 2.59808 | − | 1.50000i | 0.150756 | − | 0.0870388i | ||||
\(298\) | 15.5885 | − | 9.00000i | 0.903015 | − | 0.521356i | ||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −25.0000 | − | 8.66025i | −1.44098 | − | 0.499169i | ||||
\(302\) | 1.00000i | 0.0575435i | ||||||||
\(303\) | −15.5885 | − | 9.00000i | −0.895533 | − | 0.517036i | ||||
\(304\) | −2.00000 | − | 3.46410i | −0.114708 | − | 0.198680i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 8.00000i | 0.456584i | 0.973593 | + | 0.228292i | \(0.0733141\pi\) | ||||
−0.973593 | + | 0.228292i | \(0.926686\pi\) | |||||||
\(308\) | 5.19615 | + | 6.00000i | 0.296078 | + | 0.341882i | ||||
\(309\) | −8.00000 | −0.455104 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −12.0000 | − | 20.7846i | −0.680458 | − | 1.17859i | −0.974841 | − | 0.222900i | \(-0.928448\pi\) |
0.294384 | − | 0.955687i | \(-0.404886\pi\) | |||||||
\(312\) | 3.46410 | − | 2.00000i | 0.196116 | − | 0.113228i | ||||
\(313\) | −26.8468 | − | 15.5000i | −1.51747 | − | 0.876112i | −0.999789 | − | 0.0205381i | \(-0.993462\pi\) |
−0.517681 | − | 0.855574i | \(-0.673205\pi\) | |||||||
\(314\) | −4.00000 | −0.225733 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.00000 | −0.0562544 | ||||||||
\(317\) | −7.79423 | − | 4.50000i | −0.437767 | − | 0.252745i | 0.264883 | − | 0.964281i | \(-0.414667\pi\) |
−0.702650 | + | 0.711535i | \(0.748000\pi\) | |||||||
\(318\) | −2.59808 | + | 1.50000i | −0.145693 | + | 0.0841158i | ||||
\(319\) | 13.5000 | + | 23.3827i | 0.755855 | + | 1.30918i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −3.00000 | −0.167444 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 0.500000 | − | 0.866025i | 0.0277778 | − | 0.0481125i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −8.00000 | − | 13.8564i | −0.443079 | − | 0.767435i | ||||
\(327\) | −12.1244 | − | 7.00000i | −0.670478 | − | 0.387101i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −12.0000 | + | 10.3923i | −0.661581 | + | 0.572946i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −10.0000 | + | 17.3205i | −0.549650 | + | 0.952021i | 0.448649 | + | 0.893708i | \(0.351905\pi\) |
−0.998298 | + | 0.0583130i | \(0.981428\pi\) | |||||||
\(332\) | −7.79423 | + | 4.50000i | −0.427764 | + | 0.246970i | ||||
\(333\) | −6.92820 | + | 4.00000i | −0.379663 | + | 0.219199i | ||||
\(334\) | −3.00000 | + | 5.19615i | −0.164153 | + | 0.284321i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 2.50000 | + | 0.866025i | 0.136386 | + | 0.0472456i | ||||
\(337\) | − | 7.00000i | − | 0.381314i | −0.981657 | − | 0.190657i | \(-0.938938\pi\) | ||
0.981657 | − | 0.190657i | \(-0.0610619\pi\) | |||||||
\(338\) | −2.59808 | − | 1.50000i | −0.141317 | − | 0.0815892i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 1.50000 | − | 2.59808i | 0.0812296 | − | 0.140694i | ||||
\(342\) | 4.00000i | 0.216295i | ||||||||
\(343\) | 15.5885 | − | 10.0000i | 0.841698 | − | 0.539949i | ||||
\(344\) | −10.0000 | −0.539164 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 9.00000 | + | 15.5885i | 0.483843 | + | 0.838041i | ||||
\(347\) | 10.3923 | − | 6.00000i | 0.557888 | − | 0.322097i | −0.194409 | − | 0.980921i | \(-0.562279\pi\) |
0.752297 | + | 0.658824i | \(0.228946\pi\) | |||||||
\(348\) | 7.79423 | + | 4.50000i | 0.417815 | + | 0.241225i | ||||
\(349\) | −26.0000 | −1.39175 | −0.695874 | − | 0.718164i | \(-0.744983\pi\) | ||||
−0.695874 | + | 0.718164i | \(0.744983\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −4.00000 | −0.213504 | ||||||||
\(352\) | 2.59808 | + | 1.50000i | 0.138478 | + | 0.0799503i | ||||
\(353\) | −20.7846 | + | 12.0000i | −1.10625 | + | 0.638696i | −0.937856 | − | 0.347024i | \(-0.887192\pi\) |
−0.168397 | + | 0.985719i | \(0.553859\pi\) | |||||||
\(354\) | −1.50000 | − | 2.59808i | −0.0797241 | − | 0.138086i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 6.00000 | 0.317999 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 12.0000i | 0.634220i | ||||||||
\(359\) | 15.0000 | − | 25.9808i | 0.791670 | − | 1.37121i | −0.133263 | − | 0.991081i | \(-0.542545\pi\) |
0.924932 | − | 0.380131i | \(-0.124121\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.50000 | + | 2.59808i | 0.0789474 | + | 0.136741i | ||||
\(362\) | 6.92820 | + | 4.00000i | 0.364138 | + | 0.210235i | ||||
\(363\) | 2.00000i | 0.104973i | ||||||||
\(364\) | −2.00000 | − | 10.3923i | −0.104828 | − | 0.544705i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −5.00000 | + | 8.66025i | −0.261354 | + | 0.452679i | ||||
\(367\) | −16.4545 | + | 9.50000i | −0.858917 | + | 0.495896i | −0.863649 | − | 0.504093i | \(-0.831827\pi\) |
0.00473247 | + | 0.999989i | \(0.498494\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 1.50000 | + | 7.79423i | 0.0778761 | + | 0.404656i | ||||
\(372\) | − | 1.00000i | − | 0.0518476i | ||||||
\(373\) | 6.92820 | + | 4.00000i | 0.358729 | + | 0.207112i | 0.668523 | − | 0.743691i | \(-0.266927\pi\) |
−0.309794 | + | 0.950804i | \(0.600260\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −3.00000 | + | 5.19615i | −0.154713 | + | 0.267971i | ||||
\(377\) | − | 36.0000i | − | 1.85409i | ||||||
\(378\) | −1.73205 | − | 2.00000i | −0.0890871 | − | 0.102869i | ||||
\(379\) | −8.00000 | −0.410932 | −0.205466 | − | 0.978664i | \(-0.565871\pi\) | ||||
−0.205466 | + | 0.978664i | \(0.565871\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −2.50000 | − | 4.33013i | −0.128079 | − | 0.221839i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 15.5885 | + | 9.00000i | 0.796533 | + | 0.459879i | 0.842257 | − | 0.539076i | \(-0.181226\pi\) |
−0.0457244 | + | 0.998954i | \(0.514560\pi\) | |||||||
\(384\) | 1.00000 | 0.0510310 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 19.0000 | 0.967075 | ||||||||
\(387\) | 8.66025 | + | 5.00000i | 0.440225 | + | 0.254164i | ||||
\(388\) | 0.866025 | − | 0.500000i | 0.0439658 | − | 0.0253837i | ||||
\(389\) | −3.00000 | − | 5.19615i | −0.152106 | − | 0.263455i | 0.779895 | − | 0.625910i | \(-0.215272\pi\) |
−0.932002 | + | 0.362454i | \(0.881939\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 4.33013 | − | 5.50000i | 0.218704 | − | 0.277792i | ||||
\(393\) | 9.00000i | 0.453990i | ||||||||
\(394\) | −3.00000 | + | 5.19615i | −0.151138 | + | 0.261778i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −1.50000 | − | 2.59808i | −0.0753778 | − | 0.130558i | ||||
\(397\) | 3.46410 | + | 2.00000i | 0.173858 | + | 0.100377i | 0.584404 | − | 0.811463i | \(-0.301328\pi\) |
−0.410546 | + | 0.911840i | \(0.634662\pi\) | |||||||
\(398\) | 20.0000i | 1.00251i | ||||||||
\(399\) | 10.0000 | + | 3.46410i | 0.500626 | + | 0.173422i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −12.0000 | + | 20.7846i | −0.599251 | + | 1.03793i | 0.393680 | + | 0.919247i | \(0.371202\pi\) |
−0.992932 | + | 0.118686i | \(0.962132\pi\) | |||||||
\(402\) | 8.66025 | − | 5.00000i | 0.431934 | − | 0.249377i | ||||
\(403\) | −3.46410 | + | 2.00000i | −0.172559 | + | 0.0996271i | ||||
\(404\) | −9.00000 | + | 15.5885i | −0.447767 | + | 0.775555i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 18.0000 | − | 15.5885i | 0.893325 | − | 0.773642i | ||||
\(407\) | 24.0000i | 1.18964i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −12.5000 | − | 21.6506i | −0.618085 | − | 1.07056i | −0.989835 | − | 0.142222i | \(-0.954575\pi\) |
0.371750 | − | 0.928333i | \(-0.378758\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −9.00000 | + | 15.5885i | −0.443937 | + | 0.768922i | ||||
\(412\) | 8.00000i | 0.394132i | ||||||||
\(413\) | −7.79423 | + | 1.50000i | −0.383529 | + | 0.0738102i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −2.00000 | − | 3.46410i | −0.0980581 | − | 0.169842i | ||||
\(417\) | 1.73205 | − | 1.00000i | 0.0848189 | − | 0.0489702i | ||||
\(418\) | 10.3923 | + | 6.00000i | 0.508304 | + | 0.293470i | ||||
\(419\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −22.0000 | −1.07221 | −0.536107 | − | 0.844150i | \(-0.680106\pi\) | ||||
−0.536107 | + | 0.844150i | \(0.680106\pi\) | |||||||
\(422\) | 12.1244 | + | 7.00000i | 0.590204 | + | 0.340755i | ||||
\(423\) | 5.19615 | − | 3.00000i | 0.252646 | − | 0.145865i | ||||
\(424\) | 1.50000 | + | 2.59808i | 0.0728464 | + | 0.126174i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 6.00000 | 0.290701 | ||||||||
\(427\) | 17.3205 | + | 20.0000i | 0.838198 | + | 0.967868i | ||||
\(428\) | 3.00000i | 0.145010i | ||||||||
\(429\) | −6.00000 | + | 10.3923i | −0.289683 | + | 0.501745i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −6.00000 | − | 10.3923i | −0.289010 | − | 0.500580i | 0.684564 | − | 0.728953i | \(-0.259993\pi\) |
−0.973574 | + | 0.228373i | \(0.926659\pi\) | |||||||
\(432\) | −0.866025 | − | 0.500000i | −0.0416667 | − | 0.0240563i | ||||
\(433\) | 34.0000i | 1.63394i | 0.576683 | + | 0.816968i | \(0.304347\pi\) | ||||
−0.576683 | + | 0.816968i | \(0.695653\pi\) | |||||||
\(434\) | −2.50000 | − | 0.866025i | −0.120004 | − | 0.0415705i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −7.00000 | + | 12.1244i | −0.335239 | + | 0.580651i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 1.73205 | − | 1.00000i | 0.0827606 | − | 0.0477818i | ||||
\(439\) | 17.5000 | − | 30.3109i | 0.835229 | − | 1.44666i | −0.0586141 | − | 0.998281i | \(-0.518668\pi\) |
0.893843 | − | 0.448379i | \(-0.147999\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −6.50000 | + | 2.59808i | −0.309524 | + | 0.123718i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −28.5788 | − | 16.5000i | −1.35782 | − | 0.783939i | −0.368492 | − | 0.929631i | \(-0.620126\pi\) |
−0.989330 | + | 0.145692i | \(0.953459\pi\) | |||||||
\(444\) | 4.00000 | + | 6.92820i | 0.189832 | + | 0.328798i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −9.50000 | + | 16.4545i | −0.449838 | + | 0.779142i | ||||
\(447\) | 18.0000i | 0.851371i | ||||||||
\(448\) | 0.866025 | − | 2.50000i | 0.0409159 | − | 0.118114i | ||||
\(449\) | −12.0000 | −0.566315 | −0.283158 | − | 0.959073i | \(-0.591382\pi\) | ||||
−0.283158 | + | 0.959073i | \(0.591382\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −0.866025 | − | 0.500000i | −0.0406894 | − | 0.0234920i | ||||
\(454\) | −27.0000 | −1.26717 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 4.00000 | 0.187317 | ||||||||
\(457\) | 0.866025 | + | 0.500000i | 0.0405110 | + | 0.0233890i | 0.520119 | − | 0.854094i | \(-0.325888\pi\) |
−0.479608 | + | 0.877483i | \(0.659221\pi\) | |||||||
\(458\) | −3.46410 | + | 2.00000i | −0.161867 | + | 0.0934539i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 30.0000 | 1.39724 | 0.698620 | − | 0.715493i | \(-0.253798\pi\) | ||||
0.698620 | + | 0.715493i | \(0.253798\pi\) | |||||||
\(462\) | −7.79423 | + | 1.50000i | −0.362620 | + | 0.0697863i | ||||
\(463\) | − | 8.00000i | − | 0.371792i | −0.982569 | − | 0.185896i | \(-0.940481\pi\) | ||
0.982569 | − | 0.185896i | \(-0.0595187\pi\) | |||||||
\(464\) | 4.50000 | − | 7.79423i | 0.208907 | − | 0.361838i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −12.0000 | − | 20.7846i | −0.555889 | − | 0.962828i | ||||
\(467\) | −31.1769 | − | 18.0000i | −1.44270 | − | 0.832941i | −0.444667 | − | 0.895696i | \(-0.646678\pi\) |
−0.998029 | + | 0.0627555i | \(0.980011\pi\) | |||||||
\(468\) | 4.00000i | 0.184900i | ||||||||
\(469\) | −5.00000 | − | 25.9808i | −0.230879 | − | 1.19968i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 2.00000 | − | 3.46410i | 0.0921551 | − | 0.159617i | ||||
\(472\) | −2.59808 | + | 1.50000i | −0.119586 | + | 0.0690431i | ||||
\(473\) | 25.9808 | − | 15.0000i | 1.19460 | − | 0.689701i | ||||
\(474\) | 0.500000 | − | 0.866025i | 0.0229658 | − | 0.0397779i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | − | 3.00000i | − | 0.137361i | ||||||
\(478\) | 20.7846 | + | 12.0000i | 0.950666 | + | 0.548867i | ||||
\(479\) | −9.00000 | − | 15.5885i | −0.411220 | − | 0.712255i | 0.583803 | − | 0.811895i | \(-0.301564\pi\) |
−0.995023 | + | 0.0996406i | \(0.968231\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 16.0000 | − | 27.7128i | 0.729537 | − | 1.26360i | ||||
\(482\) | 1.00000i | 0.0455488i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 2.00000 | 0.0909091 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0.500000 | + | 0.866025i | 0.0226805 | + | 0.0392837i | ||||
\(487\) | 35.5070 | − | 20.5000i | 1.60898 | − | 0.928944i | 0.619378 | − | 0.785093i | \(-0.287385\pi\) |
0.989599 | − | 0.143851i | \(-0.0459486\pi\) | |||||||
\(488\) | 8.66025 | + | 5.00000i | 0.392031 | + | 0.226339i | ||||
\(489\) | 16.0000 | 0.723545 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −33.0000 | −1.48927 | −0.744635 | − | 0.667472i | \(-0.767376\pi\) | ||||
−0.744635 | + | 0.667472i | \(0.767376\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | −8.00000 | − | 13.8564i | −0.359937 | − | 0.623429i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.00000 | −0.0449013 | ||||||||
\(497\) | 5.19615 | − | 15.0000i | 0.233079 | − | 0.672842i | ||||
\(498\) | − | 9.00000i | − | 0.403300i | ||||||
\(499\) | 1.00000 | − | 1.73205i | 0.0447661 | − | 0.0775372i | −0.842774 | − | 0.538267i | \(-0.819079\pi\) |
0.887540 | + | 0.460730i | \(0.152412\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −3.00000 | − | 5.19615i | −0.134030 | − | 0.232147i | ||||
\(502\) | 23.3827 | + | 13.5000i | 1.04362 | + | 0.602534i | ||||
\(503\) | 12.0000i | 0.535054i | 0.963550 | + | 0.267527i | \(0.0862064\pi\) | ||||
−0.963550 | + | 0.267527i | \(0.913794\pi\) | |||||||
\(504\) | −2.00000 | + | 1.73205i | −0.0890871 | + | 0.0771517i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 2.59808 | − | 1.50000i | 0.115385 | − | 0.0666173i | ||||
\(508\) | −4.33013 | + | 2.50000i | −0.192118 | + | 0.110920i | ||||
\(509\) | −1.50000 | + | 2.59808i | −0.0664863 | + | 0.115158i | −0.897352 | − | 0.441315i | \(-0.854512\pi\) |
0.830866 | + | 0.556473i | \(0.187846\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.00000 | − | 5.19615i | −0.0442374 | − | 0.229864i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | −3.46410 | − | 2.00000i | −0.152944 | − | 0.0883022i | ||||
\(514\) | −3.00000 | − | 5.19615i | −0.132324 | − | 0.229192i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 5.00000 | − | 8.66025i | 0.220113 | − | 0.381246i | ||||
\(517\) | − | 18.0000i | − | 0.791639i | ||||||
\(518\) | 20.7846 | − | 4.00000i | 0.913223 | − | 0.175750i | ||||
\(519\) | −18.0000 | −0.790112 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 9.00000 | + | 15.5885i | 0.394297 | + | 0.682943i | 0.993011 | − | 0.118020i | \(-0.0376547\pi\) |
−0.598714 | + | 0.800963i | \(0.704321\pi\) | |||||||
\(522\) | −7.79423 | + | 4.50000i | −0.341144 | + | 0.196960i | ||||
\(523\) | −3.46410 | − | 2.00000i | −0.151475 | − | 0.0874539i | 0.422347 | − | 0.906434i | \(-0.361206\pi\) |
−0.573822 | + | 0.818980i | \(0.694540\pi\) | |||||||
\(524\) | 9.00000 | 0.393167 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 6.00000 | 0.261612 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | −2.59808 | + | 1.50000i | −0.113067 | + | 0.0652791i | ||||
\(529\) | −11.5000 | − | 19.9186i | −0.500000 | − | 0.866025i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 3.00000 | 0.130189 | ||||||||
\(532\) | 3.46410 | − | 10.0000i | 0.150188 | − | 0.433555i | ||||
\(533\) | 0 | 0 | ||||||||
\(534\) | −3.00000 | + | 5.19615i | −0.129823 | + | 0.224860i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −5.00000 | − | 8.66025i | −0.215967 | − | 0.374066i | ||||
\(537\) | −10.3923 | − | 6.00000i | −0.448461 | − | 0.258919i | ||||
\(538\) | 21.0000i | 0.905374i | ||||||||
\(539\) | −3.00000 | + | 20.7846i | −0.129219 | + | 0.895257i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −13.0000 | + | 22.5167i | −0.558914 | + | 0.968067i | 0.438674 | + | 0.898646i | \(0.355448\pi\) |
−0.997587 | + | 0.0694205i | \(0.977885\pi\) | |||||||
\(542\) | −9.52628 | + | 5.50000i | −0.409189 | + | 0.236245i | ||||
\(543\) | −6.92820 | + | 4.00000i | −0.297318 | + | 0.171656i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 10.0000 | + | 3.46410i | 0.427960 | + | 0.148250i | ||||
\(547\) | 8.00000i | 0.342055i | 0.985266 | + | 0.171028i | \(0.0547087\pi\) | ||||
−0.985266 | + | 0.171028i | \(0.945291\pi\) | |||||||
\(548\) | 15.5885 | + | 9.00000i | 0.665906 | + | 0.384461i | ||||
\(549\) | −5.00000 | − | 8.66025i | −0.213395 | − | 0.369611i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 18.0000 | − | 31.1769i | 0.766826 | − | 1.32818i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.73205 | − | 2.00000i | −0.0736543 | − | 0.0850487i | ||||
\(554\) | 8.00000 | 0.339887 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.00000 | − | 1.73205i | −0.0424094 | − | 0.0734553i | ||||
\(557\) | 2.59808 | − | 1.50000i | 0.110084 | − | 0.0635570i | −0.443947 | − | 0.896053i | \(-0.646422\pi\) |
0.554031 | + | 0.832496i | \(0.313089\pi\) | |||||||
\(558\) | 0.866025 | + | 0.500000i | 0.0366618 | + | 0.0211667i | ||||
\(559\) | −40.0000 | −1.69182 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 5.19615 | + | 3.00000i | 0.219186 | + | 0.126547i | ||||
\(563\) | −33.7750 | + | 19.5000i | −1.42345 | + | 0.821827i | −0.996592 | − | 0.0824933i | \(-0.973712\pi\) |
−0.426855 | + | 0.904320i | \(0.640378\pi\) | |||||||
\(564\) | −3.00000 | − | 5.19615i | −0.126323 | − | 0.218797i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −14.0000 | −0.588464 | ||||||||
\(567\) | 2.59808 | − | 0.500000i | 0.109109 | − | 0.0209980i | ||||
\(568\) | − | 6.00000i | − | 0.251754i | ||||||
\(569\) | −18.0000 | + | 31.1769i | −0.754599 | + | 1.30700i | 0.190974 | + | 0.981595i | \(0.438835\pi\) |
−0.945573 | + | 0.325409i | \(0.894498\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 17.0000 | + | 29.4449i | 0.711428 | + | 1.23223i | 0.964321 | + | 0.264735i | \(0.0852845\pi\) |
−0.252893 | + | 0.967494i | \(0.581382\pi\) | |||||||
\(572\) | 10.3923 | + | 6.00000i | 0.434524 | + | 0.250873i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −0.500000 | + | 0.866025i | −0.0208333 | + | 0.0360844i | ||||
\(577\) | 19.9186 | − | 11.5000i | 0.829222 | − | 0.478751i | −0.0243645 | − | 0.999703i | \(-0.507756\pi\) |
0.853586 | + | 0.520952i | \(0.174423\pi\) | |||||||
\(578\) | −14.7224 | + | 8.50000i | −0.612372 | + | 0.353553i | ||||
\(579\) | −9.50000 | + | 16.4545i | −0.394807 | + | 0.683825i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −22.5000 | − | 7.79423i | −0.933457 | − | 0.323359i | ||||
\(582\) | 1.00000i | 0.0414513i | ||||||||
\(583\) | −7.79423 | − | 4.50000i | −0.322804 | − | 0.186371i | ||||
\(584\) | −1.00000 | − | 1.73205i | −0.0413803 | − | 0.0716728i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 16.5000 | − | 28.5788i | 0.681609 | − | 1.18058i | ||||
\(587\) | 21.0000i | 0.866763i | 0.901211 | + | 0.433381i | \(0.142680\pi\) | ||||
−0.901211 | + | 0.433381i | \(0.857320\pi\) | |||||||
\(588\) | 2.59808 | + | 6.50000i | 0.107143 | + | 0.268055i | ||||
\(589\) | −4.00000 | −0.164817 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −3.00000 | − | 5.19615i | −0.123404 | − | 0.213741i | ||||
\(592\) | 6.92820 | − | 4.00000i | 0.284747 | − | 0.164399i | ||||
\(593\) | 20.7846 | + | 12.0000i | 0.853522 | + | 0.492781i | 0.861838 | − | 0.507184i | \(-0.169314\pi\) |
−0.00831589 | + | 0.999965i | \(0.502647\pi\) | |||||||
\(594\) | 3.00000 | 0.123091 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 18.0000 | 0.737309 | ||||||||
\(597\) | −17.3205 | − | 10.0000i | −0.708881 | − | 0.409273i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −9.00000 | − | 15.5885i | −0.367730 | − | 0.636927i | 0.621480 | − | 0.783430i | \(-0.286532\pi\) |
−0.989210 | + | 0.146503i | \(0.953198\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 11.0000 | 0.448699 | 0.224350 | − | 0.974509i | \(-0.427974\pi\) | ||||
0.224350 | + | 0.974509i | \(0.427974\pi\) | |||||||
\(602\) | −17.3205 | − | 20.0000i | −0.705931 | − | 0.815139i | ||||
\(603\) | 10.0000i | 0.407231i | ||||||||
\(604\) | −0.500000 | + | 0.866025i | −0.0203447 | + | 0.0352381i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −9.00000 | − | 15.5885i | −0.365600 | − | 0.633238i | ||||
\(607\) | 6.06218 | + | 3.50000i | 0.246056 | + | 0.142061i | 0.617957 | − | 0.786212i | \(-0.287961\pi\) |
−0.371901 | + | 0.928272i | \(0.621294\pi\) | |||||||
\(608\) | − | 4.00000i | − | 0.162221i | ||||||
\(609\) | 4.50000 | + | 23.3827i | 0.182349 | + | 0.947514i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −12.0000 | + | 20.7846i | −0.485468 | + | 0.840855i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 13.8564 | − | 8.00000i | 0.559655 | − | 0.323117i | −0.193352 | − | 0.981129i | \(-0.561936\pi\) |
0.753007 | + | 0.658012i | \(0.228603\pi\) | |||||||
\(614\) | −4.00000 | + | 6.92820i | −0.161427 | + | 0.279600i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.50000 | + | 7.79423i | 0.0604367 | + | 0.314038i | ||||
\(617\) | − | 6.00000i | − | 0.241551i | −0.992680 | − | 0.120775i | \(-0.961462\pi\) | ||
0.992680 | − | 0.120775i | \(-0.0385381\pi\) | |||||||
\(618\) | −6.92820 | − | 4.00000i | −0.278693 | − | 0.160904i | ||||
\(619\) | −17.0000 | − | 29.4449i | −0.683288 | − | 1.18349i | −0.973972 | − | 0.226670i | \(-0.927216\pi\) |
0.290684 | − | 0.956819i | \(-0.406117\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 24.0000i | − | 0.962312i | ||||||
\(623\) | 10.3923 | + | 12.0000i | 0.416359 | + | 0.480770i | ||||
\(624\) | 4.00000 | 0.160128 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −15.5000 | − | 26.8468i | −0.619505 | − | 1.07301i | ||||
\(627\) | −10.3923 | + | 6.00000i | −0.415029 | + | 0.239617i | ||||
\(628\) | −3.46410 | − | 2.00000i | −0.138233 | − | 0.0798087i | ||||
\(629\) | 0 | 0 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −7.00000 | −0.278666 | −0.139333 | − | 0.990246i | \(-0.544496\pi\) | ||||
−0.139333 | + | 0.990246i | \(0.544496\pi\) | |||||||
\(632\) | −0.866025 | − | 0.500000i | −0.0344486 | − | 0.0198889i | ||||
\(633\) | −12.1244 | + | 7.00000i | −0.481900 | + | 0.278225i | ||||
\(634\) | −4.50000 | − | 7.79423i | −0.178718 | − | 0.309548i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −3.00000 | −0.118958 | ||||||||
\(637\) | 17.3205 | − | 22.0000i | 0.686264 | − | 0.871672i | ||||
\(638\) | 27.0000i | 1.06894i | ||||||||
\(639\) | −3.00000 | + | 5.19615i | −0.118678 | + | 0.205557i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 15.0000 | + | 25.9808i | 0.592464 | + | 1.02618i | 0.993899 | + | 0.110291i | \(0.0351782\pi\) |
−0.401435 | + | 0.915888i | \(0.631488\pi\) | |||||||
\(642\) | −2.59808 | − | 1.50000i | −0.102538 | − | 0.0592003i | ||||
\(643\) | 34.0000i | 1.34083i | 0.741987 | + | 0.670415i | \(0.233884\pi\) | ||||
−0.741987 | + | 0.670415i | \(0.766116\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −15.5885 | + | 9.00000i | −0.612845 | + | 0.353827i | −0.774078 | − | 0.633090i | \(-0.781786\pi\) |
0.161233 | + | 0.986916i | \(0.448453\pi\) | |||||||
\(648\) | 0.866025 | − | 0.500000i | 0.0340207 | − | 0.0196419i | ||||
\(649\) | 4.50000 | − | 7.79423i | 0.176640 | − | 0.305950i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 2.00000 | − | 1.73205i | 0.0783862 | − | 0.0678844i | ||||
\(652\) | − | 16.0000i | − | 0.626608i | ||||||
\(653\) | 2.59808 | + | 1.50000i | 0.101671 | + | 0.0586995i | 0.549973 | − | 0.835182i | \(-0.314638\pi\) |
−0.448303 | + | 0.893882i | \(0.647971\pi\) | |||||||
\(654\) | −7.00000 | − | 12.1244i | −0.273722 | − | 0.474100i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 2.00000i | 0.0780274i | ||||||||
\(658\) | −15.5885 | + | 3.00000i | −0.607701 | + | 0.116952i | ||||
\(659\) | 24.0000 | 0.934907 | 0.467454 | − | 0.884018i | \(-0.345171\pi\) | ||||
0.467454 | + | 0.884018i | \(0.345171\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −7.00000 | − | 12.1244i | −0.272268 | − | 0.471583i | 0.697174 | − | 0.716902i | \(-0.254441\pi\) |
−0.969442 | + | 0.245319i | \(0.921107\pi\) | |||||||
\(662\) | −17.3205 | + | 10.0000i | −0.673181 | + | 0.388661i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −9.00000 | −0.349268 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −8.00000 | −0.309994 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −5.19615 | + | 3.00000i | −0.201045 | + | 0.116073i | ||||
\(669\) | −9.50000 | − | 16.4545i | −0.367291 | − | 0.636167i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −30.0000 | −1.15814 | ||||||||
\(672\) | 1.73205 | + | 2.00000i | 0.0668153 | + | 0.0771517i | ||||
\(673\) | − | 29.0000i | − | 1.11787i | −0.829212 | − | 0.558934i | \(-0.811211\pi\) | ||
0.829212 | − | 0.558934i | \(-0.188789\pi\) | |||||||
\(674\) | 3.50000 | − | 6.06218i | 0.134815 | − | 0.233506i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −1.50000 | − | 2.59808i | −0.0576923 | − | 0.0999260i | ||||
\(677\) | 28.5788 | + | 16.5000i | 1.09837 | + | 0.634147i | 0.935793 | − | 0.352549i | \(-0.114685\pi\) |
0.162581 | + | 0.986695i | \(0.448018\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.50000 | + | 0.866025i | 0.0959412 | + | 0.0332350i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 13.5000 | − | 23.3827i | 0.517321 | − | 0.896026i | ||||
\(682\) | 2.59808 | − | 1.50000i | 0.0994855 | − | 0.0574380i | ||||
\(683\) | −28.5788 | + | 16.5000i | −1.09354 | + | 0.631355i | −0.934516 | − | 0.355920i | \(-0.884168\pi\) |
−0.159022 | + | 0.987275i | \(0.550834\pi\) | |||||||
\(684\) | −2.00000 | + | 3.46410i | −0.0764719 | + | 0.132453i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 18.5000 | − | 0.866025i | 0.706333 | − | 0.0330650i | ||||
\(687\) | − | 4.00000i | − | 0.152610i | ||||||
\(688\) | −8.66025 | − | 5.00000i | −0.330169 | − | 0.190623i | ||||
\(689\) | 6.00000 | + | 10.3923i | 0.228582 | + | 0.395915i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −4.00000 | + | 6.92820i | −0.152167 | + | 0.263561i | −0.932024 | − | 0.362397i | \(-0.881959\pi\) |
0.779857 | + | 0.625958i | \(0.215292\pi\) | |||||||
\(692\) | 18.0000i | 0.684257i | ||||||||
\(693\) | 2.59808 | − | 7.50000i | 0.0986928 | − | 0.284901i | ||||
\(694\) | 12.0000 | 0.455514 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 4.50000 | + | 7.79423i | 0.170572 | + | 0.295439i | ||||
\(697\) | 0 | 0 | ||||||||
\(698\) | −22.5167 | − | 13.0000i | −0.852268 | − | 0.492057i | ||||
\(699\) | 24.0000 | 0.907763 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −15.0000 | −0.566542 | −0.283271 | − | 0.959040i | \(-0.591420\pi\) | ||||
−0.283271 | + | 0.959040i | \(0.591420\pi\) | |||||||
\(702\) | −3.46410 | − | 2.00000i | −0.130744 | − | 0.0754851i | ||||
\(703\) | 27.7128 | − | 16.0000i | 1.04521 | − | 0.603451i | ||||
\(704\) | 1.50000 | + | 2.59808i | 0.0565334 | + | 0.0979187i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −24.0000 | −0.903252 | ||||||||
\(707\) | −46.7654 | + | 9.00000i | −1.75879 | + | 0.338480i | ||||
\(708\) | − | 3.00000i | − | 0.112747i | ||||||
\(709\) | −5.00000 | + | 8.66025i | −0.187779 | + | 0.325243i | −0.944509 | − | 0.328484i | \(-0.893462\pi\) |
0.756730 | + | 0.653727i | \(0.226796\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.500000 | + | 0.866025i | 0.0187515 | + | 0.0324785i | ||||
\(712\) | 5.19615 | + | 3.00000i | 0.194734 | + | 0.112430i | ||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −6.00000 | + | 10.3923i | −0.224231 | + | 0.388379i | ||||
\(717\) | −20.7846 | + | 12.0000i | −0.776215 | + | 0.448148i | ||||
\(718\) | 25.9808 | − | 15.0000i | 0.969593 | − | 0.559795i | ||||
\(719\) | −9.00000 | + | 15.5885i | −0.335643 | + | 0.581351i | −0.983608 | − | 0.180319i | \(-0.942287\pi\) |
0.647965 | + | 0.761670i | \(0.275620\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −16.0000 | + | 13.8564i | −0.595871 | + | 0.516040i | ||||
\(722\) | 3.00000i | 0.111648i | ||||||||
\(723\) | −0.866025 | − | 0.500000i | −0.0322078 | − | 0.0185952i | ||||
\(724\) | 4.00000 | + | 6.92820i | 0.148659 | + | 0.257485i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −1.00000 | + | 1.73205i | −0.0371135 | + | 0.0642824i | ||||
\(727\) | − | 13.0000i | − | 0.482143i | −0.970507 | − | 0.241072i | \(-0.922501\pi\) | ||
0.970507 | − | 0.241072i | \(-0.0774989\pi\) | |||||||
\(728\) | 3.46410 | − | 10.0000i | 0.128388 | − | 0.370625i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | −8.66025 | + | 5.00000i | −0.320092 | + | 0.184805i | ||||
\(733\) | −8.66025 | − | 5.00000i | −0.319874 | − | 0.184679i | 0.331463 | − | 0.943468i | \(-0.392458\pi\) |
−0.651336 | + | 0.758789i | \(0.725791\pi\) | |||||||
\(734\) | −19.0000 | −0.701303 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 25.9808 | + | 15.0000i | 0.957014 | + | 0.552532i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 25.0000 | + | 43.3013i | 0.919640 | + | 1.59286i | 0.799962 | + | 0.600050i | \(0.204853\pi\) |
0.119677 | + | 0.992813i | \(0.461814\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 16.0000 | 0.587775 | ||||||||
\(742\) | −2.59808 | + | 7.50000i | −0.0953784 | + | 0.275334i | ||||
\(743\) | − | 42.0000i | − | 1.54083i | −0.637542 | − | 0.770415i | \(-0.720049\pi\) | ||
0.637542 | − | 0.770415i | \(-0.279951\pi\) | |||||||
\(744\) | 0.500000 | − | 0.866025i | 0.0183309 | − | 0.0317500i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 4.00000 | + | 6.92820i | 0.146450 | + | 0.253660i | ||||
\(747\) | 7.79423 | + | 4.50000i | 0.285176 | + | 0.164646i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −6.00000 | + | 5.19615i | −0.219235 | + | 0.189863i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.50000 | − | 6.06218i | 0.127717 | − | 0.221212i | −0.795075 | − | 0.606511i | \(-0.792568\pi\) |
0.922792 | + | 0.385299i | \(0.125902\pi\) | |||||||
\(752\) | −5.19615 | + | 3.00000i | −0.189484 | + | 0.109399i | ||||
\(753\) | −23.3827 | + | 13.5000i | −0.852112 | + | 0.491967i | ||||
\(754\) | 18.0000 | − | 31.1769i | 0.655521 | − | 1.13540i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −0.500000 | − | 2.59808i | −0.0181848 | − | 0.0944911i | ||||
\(757\) | 38.0000i | 1.38113i | 0.723269 | + | 0.690567i | \(0.242639\pi\) | ||||
−0.723269 | + | 0.690567i | \(0.757361\pi\) | |||||||
\(758\) | −6.92820 | − | 4.00000i | −0.251644 | − | 0.145287i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −6.00000 | + | 10.3923i | −0.217500 | + | 0.376721i | −0.954043 | − | 0.299670i | \(-0.903123\pi\) |
0.736543 | + | 0.676391i | \(0.236457\pi\) | |||||||
\(762\) | − | 5.00000i | − | 0.181131i | ||||||
\(763\) | −36.3731 | + | 7.00000i | −1.31679 | + | 0.253417i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 9.00000 | + | 15.5885i | 0.325183 | + | 0.563234i | ||||
\(767\) | −10.3923 | + | 6.00000i | −0.375244 | + | 0.216647i | ||||
\(768\) | 0.866025 | + | 0.500000i | 0.0312500 | + | 0.0180422i | ||||
\(769\) | 19.0000 | 0.685158 | 0.342579 | − | 0.939489i | \(-0.388700\pi\) | ||||
0.342579 | + | 0.939489i | \(0.388700\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 6.00000 | 0.216085 | ||||||||
\(772\) | 16.4545 | + | 9.50000i | 0.592210 | + | 0.341912i | ||||
\(773\) | −5.19615 | + | 3.00000i | −0.186893 | + | 0.107903i | −0.590527 | − | 0.807018i | \(-0.701080\pi\) |
0.403634 | + | 0.914920i | \(0.367747\pi\) | |||||||
\(774\) | 5.00000 | + | 8.66025i | 0.179721 | + | 0.311286i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 1.00000 | 0.0358979 | ||||||||
\(777\) | −6.92820 | + | 20.0000i | −0.248548 | + | 0.717496i | ||||
\(778\) | − | 6.00000i | − | 0.215110i | ||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 9.00000 | + | 15.5885i | 0.322045 | + | 0.557799i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | − | 9.00000i | − | 0.321634i | ||||||
\(784\) | 6.50000 | − | 2.59808i | 0.232143 | − | 0.0927884i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −4.50000 | + | 7.79423i | −0.160510 | + | 0.278011i | ||||
\(787\) | 43.3013 | − | 25.0000i | 1.54352 | − | 0.891154i | 0.544911 | − | 0.838494i | \(-0.316563\pi\) |
0.998613 | − | 0.0526599i | \(-0.0167699\pi\) | |||||||
\(788\) | −5.19615 | + | 3.00000i | −0.185105 | + | 0.106871i | ||||
\(789\) | −3.00000 | + | 5.19615i | −0.106803 | + | 0.184988i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | − | 3.00000i | − | 0.106600i | ||||||
\(793\) | 34.6410 | + | 20.0000i | 1.23014 | + | 0.710221i | ||||
\(794\) | 2.00000 | + | 3.46410i | 0.0709773 | + | 0.122936i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −10.0000 | + | 17.3205i | −0.354441 | + | 0.613909i | ||||
\(797\) | − | 33.0000i | − | 1.16892i | −0.811423 | − | 0.584460i | \(-0.801306\pi\) | ||
0.811423 | − | 0.584460i | \(-0.198694\pi\) | |||||||
\(798\) | 6.92820 | + | 8.00000i | 0.245256 | + | 0.283197i | ||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −3.00000 | − | 5.19615i | −0.106000 | − | 0.183597i | ||||
\(802\) | −20.7846 | + | 12.0000i | −0.733930 | + | 0.423735i | ||||
\(803\) | 5.19615 | + | 3.00000i | 0.183368 | + | 0.105868i | ||||
\(804\) | 10.0000 | 0.352673 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −4.00000 | −0.140894 | ||||||||
\(807\) | −18.1865 | − | 10.5000i | −0.640196 | − | 0.369618i | ||||
\(808\) | −15.5885 | + | 9.00000i | −0.548400 | + | 0.316619i | ||||
\(809\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 2.00000 | 0.0702295 | 0.0351147 | − | 0.999383i | \(-0.488820\pi\) | ||||
0.0351147 | + | 0.999383i | \(0.488820\pi\) | |||||||
\(812\) | 23.3827 | − | 4.50000i | 0.820571 | − | 0.157919i | ||||
\(813\) | − | 11.0000i | − | 0.385787i | ||||||
\(814\) | −12.0000 | + | 20.7846i | −0.420600 | + | 0.728500i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −34.6410 | − | 20.0000i | −1.21194 | − | 0.699711i | ||||
\(818\) | − | 25.0000i | − | 0.874105i | ||||||
\(819\) | −8.00000 | + | 6.92820i | −0.279543 | + | 0.242091i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 1.50000 | − | 2.59808i | 0.0523504 | − | 0.0906735i | −0.838663 | − | 0.544651i | \(-0.816662\pi\) |
0.891013 | + | 0.453978i | \(0.149995\pi\) | |||||||
\(822\) | −15.5885 | + | 9.00000i | −0.543710 | + | 0.313911i | ||||
\(823\) | 34.6410 | − | 20.0000i | 1.20751 | − | 0.697156i | 0.245295 | − | 0.969448i | \(-0.421115\pi\) |
0.962215 | + | 0.272292i | \(0.0877817\pi\) | |||||||
\(824\) | −4.00000 | + | 6.92820i | −0.139347 | + | 0.241355i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −7.50000 | − | 2.59808i | −0.260958 | − | 0.0903986i | ||||
\(827\) | 15.0000i | 0.521601i | 0.965393 | + | 0.260801i | \(0.0839865\pi\) | ||||
−0.965393 | + | 0.260801i | \(0.916014\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −2.00000 | − | 3.46410i | −0.0694629 | − | 0.120313i | 0.829202 | − | 0.558949i | \(-0.188795\pi\) |
−0.898665 | + | 0.438636i | \(0.855462\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −4.00000 | + | 6.92820i | −0.138758 | + | 0.240337i | ||||
\(832\) | − | 4.00000i | − | 0.138675i | ||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 2.00000 | 0.0692543 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 6.00000 | + | 10.3923i | 0.207514 | + | 0.359425i | ||||
\(837\) | −0.866025 | + | 0.500000i | −0.0299342 | + | 0.0172825i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 24.0000 | 0.828572 | 0.414286 | − | 0.910147i | \(-0.364031\pi\) | ||||
0.414286 | + | 0.910147i | \(0.364031\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 52.0000 | 1.79310 | ||||||||
\(842\) | −19.0526 | − | 11.0000i | −0.656595 | − | 0.379085i | ||||
\(843\) | −5.19615 | + | 3.00000i | −0.178965 | + | 0.103325i | ||||
\(844\) | 7.00000 | + | 12.1244i | 0.240950 | + | 0.417338i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 6.00000 | 0.206284 | ||||||||
\(847\) | 3.46410 | + | 4.00000i | 0.119028 | + | 0.137442i | ||||
\(848\) | 3.00000i | 0.103020i | ||||||||
\(849\) | 7.00000 | − | 12.1244i | 0.240239 | − | 0.416107i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0 | 0 | ||||||||
\(852\) | 5.19615 | + | 3.00000i | 0.178017 | + | 0.102778i | ||||
\(853\) | 10.0000i | 0.342393i | 0.985237 | + | 0.171197i | \(0.0547634\pi\) | ||||
−0.985237 | + | 0.171197i | \(0.945237\pi\) | |||||||
\(854\) | 5.00000 | + | 25.9808i | 0.171096 | + | 0.889043i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1.50000 | + | 2.59808i | −0.0512689 | + | 0.0888004i | ||||
\(857\) | −36.3731 | + | 21.0000i | −1.24248 | + | 0.717346i | −0.969599 | − | 0.244701i | \(-0.921310\pi\) |
−0.272882 | + | 0.962048i | \(0.587977\pi\) | |||||||
\(858\) | −10.3923 | + | 6.00000i | −0.354787 | + | 0.204837i | ||||
\(859\) | 25.0000 | − | 43.3013i | 0.852989 | − | 1.47742i | −0.0255092 | − | 0.999675i | \(-0.508121\pi\) |
0.878498 | − | 0.477746i | \(-0.158546\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | − | 12.0000i | − | 0.408722i | ||||||
\(863\) | 5.19615 | + | 3.00000i | 0.176879 | + | 0.102121i | 0.585826 | − | 0.810437i | \(-0.300770\pi\) |
−0.408946 | + | 0.912558i | \(0.634104\pi\) | |||||||
\(864\) | −0.500000 | − | 0.866025i | −0.0170103 | − | 0.0294628i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −17.0000 | + | 29.4449i | −0.577684 | + | 1.00058i | ||||
\(867\) | − | 17.0000i | − | 0.577350i | ||||||
\(868\) | −1.73205 | − | 2.00000i | −0.0587896 | − | 0.0678844i | ||||
\(869\) | 3.00000 | 0.101768 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −20.0000 | − | 34.6410i | −0.677674 | − | 1.17377i | ||||
\(872\) | −12.1244 | + | 7.00000i | −0.410582 | + | 0.237050i | ||||
\(873\) | −0.866025 | − | 0.500000i | −0.0293105 | − | 0.0169224i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 2.00000 | 0.0675737 | ||||||||
\(877\) | −27.7128 | − | 16.0000i | −0.935795 | − | 0.540282i | −0.0471555 | − | 0.998888i | \(-0.515016\pi\) |
−0.888640 | + | 0.458606i | \(0.848349\pi\) | |||||||
\(878\) | 30.3109 | − | 17.5000i | 1.02294 | − | 0.590596i | ||||
\(879\) | 16.5000 | + | 28.5788i | 0.556531 | + | 0.963940i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −6.00000 | −0.202145 | −0.101073 | − | 0.994879i | \(-0.532227\pi\) | ||||
−0.101073 | + | 0.994879i | \(0.532227\pi\) | |||||||
\(882\) | −6.92820 | − | 1.00000i | −0.233285 | − | 0.0336718i | ||||
\(883\) | − | 32.0000i | − | 1.07689i | −0.842662 | − | 0.538443i | \(-0.819013\pi\) | ||
0.842662 | − | 0.538443i | \(-0.180987\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −16.5000 | − | 28.5788i | −0.554328 | − | 0.960125i | ||||
\(887\) | 20.7846 | + | 12.0000i | 0.697879 | + | 0.402921i | 0.806557 | − | 0.591156i | \(-0.201328\pi\) |
−0.108678 | + | 0.994077i | \(0.534662\pi\) | |||||||
\(888\) | 8.00000i | 0.268462i | ||||||||
\(889\) | −12.5000 | − | 4.33013i | −0.419237 | − | 0.145228i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −1.50000 | + | 2.59808i | −0.0502519 | + | 0.0870388i | ||||
\(892\) | −16.4545 | + | 9.50000i | −0.550937 | + | 0.318084i | ||||
\(893\) | −20.7846 | + | 12.0000i | −0.695530 | + | 0.401565i | ||||
\(894\) | −9.00000 | + | 15.5885i | −0.301005 | + | 0.521356i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 2.00000 | − | 1.73205i | 0.0668153 | − | 0.0578638i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −10.3923 | − | 6.00000i | −0.346796 | − | 0.200223i | ||||
\(899\) | −4.50000 | − | 7.79423i | −0.150083 | − | 0.259952i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 25.9808 | − | 5.00000i | 0.864586 | − | 0.166390i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −0.500000 | − | 0.866025i | −0.0166114 | − | 0.0287718i | ||||
\(907\) | 6.92820 | − | 4.00000i | 0.230047 | − | 0.132818i | −0.380547 | − | 0.924762i | \(-0.624264\pi\) |
0.610594 | + | 0.791944i | \(0.290931\pi\) | |||||||
\(908\) | −23.3827 | − | 13.5000i | −0.775982 | − | 0.448013i | ||||
\(909\) | 18.0000 | 0.597022 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 6.00000 | 0.198789 | 0.0993944 | − | 0.995048i | \(-0.468309\pi\) | ||||
0.0993944 | + | 0.995048i | \(0.468309\pi\) | |||||||
\(912\) | 3.46410 | + | 2.00000i | 0.114708 | + | 0.0662266i | ||||
\(913\) | 23.3827 | − | 13.5000i | 0.773854 | − | 0.446785i | ||||
\(914\) | 0.500000 | + | 0.866025i | 0.0165385 | + | 0.0286456i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −4.00000 | −0.132164 | ||||||||
\(917\) | 15.5885 | + | 18.0000i | 0.514776 | + | 0.594412i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 4.00000 | − | 6.92820i | 0.131948 | − | 0.228540i | −0.792480 | − | 0.609898i | \(-0.791210\pi\) |
0.924427 | + | 0.381358i | \(0.124544\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −4.00000 | − | 6.92820i | −0.131804 | − | 0.228292i | ||||
\(922\) | 25.9808 | + | 15.0000i | 0.855631 | + | 0.493999i | ||||
\(923\) | − | 24.0000i | − | 0.789970i | ||||||
\(924\) | −7.50000 | − | 2.59808i | −0.246732 | − | 0.0854704i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 4.00000 | − | 6.92820i | 0.131448 | − | 0.227675i | ||||
\(927\) | 6.92820 | − | 4.00000i | 0.227552 | − | 0.131377i | ||||
\(928\) | 7.79423 | − | 4.50000i | 0.255858 | − | 0.147720i | ||||
\(929\) | −3.00000 | + | 5.19615i | −0.0984268 | + | 0.170480i | −0.911034 | − | 0.412332i | \(-0.864714\pi\) |
0.812607 | + | 0.582812i | \(0.198048\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 26.0000 | − | 10.3923i | 0.852116 | − | 0.340594i | ||||
\(932\) | − | 24.0000i | − | 0.786146i | ||||||
\(933\) | 20.7846 | + | 12.0000i | 0.680458 | + | 0.392862i | ||||
\(934\) | −18.0000 | − | 31.1769i | −0.588978 | − | 1.02014i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −2.00000 | + | 3.46410i | −0.0653720 | + | 0.113228i | ||||
\(937\) | 35.0000i | 1.14340i | 0.820463 | + | 0.571700i | \(0.193716\pi\) | ||||
−0.820463 | + | 0.571700i | \(0.806284\pi\) | |||||||
\(938\) | 8.66025 | − | 25.0000i | 0.282767 | − | 0.816279i | ||||
\(939\) | 31.0000 | 1.01165 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 4.50000 | + | 7.79423i | 0.146696 | + | 0.254085i | 0.930004 | − | 0.367549i | \(-0.119803\pi\) |
−0.783309 | + | 0.621633i | \(0.786469\pi\) | |||||||
\(942\) | 3.46410 | − | 2.00000i | 0.112867 | − | 0.0651635i | ||||
\(943\) | 0 | 0 | ||||||||
\(944\) | −3.00000 | −0.0976417 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 30.0000 | 0.975384 | ||||||||
\(947\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(948\) | 0.866025 | − | 0.500000i | 0.0281272 | − | 0.0162392i | ||||
\(949\) | −4.00000 | − | 6.92820i | −0.129845 | − | 0.224899i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 9.00000 | 0.291845 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 6.00000i | 0.194359i | 0.995267 | + | 0.0971795i | \(0.0309821\pi\) | ||||
−0.995267 | + | 0.0971795i | \(0.969018\pi\) | |||||||
\(954\) | 1.50000 | − | 2.59808i | 0.0485643 | − | 0.0841158i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 12.0000 | + | 20.7846i | 0.388108 | + | 0.672222i | ||||
\(957\) | −23.3827 | − | 13.5000i | −0.755855 | − | 0.436393i | ||||
\(958\) | − | 18.0000i | − | 0.581554i | ||||||
\(959\) | 9.00000 | + | 46.7654i | 0.290625 | + | 1.51013i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 15.0000 | − | 25.9808i | 0.483871 | − | 0.838089i | ||||
\(962\) | 27.7128 | − | 16.0000i | 0.893497 | − | 0.515861i | ||||
\(963\) | 2.59808 | − | 1.50000i | 0.0837218 | − | 0.0483368i | ||||
\(964\) | −0.500000 | + | 0.866025i | −0.0161039 | + | 0.0278928i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 1.00000i | − | 0.0321578i | −0.999871 | − | 0.0160789i | \(-0.994882\pi\) | ||
0.999871 | − | 0.0160789i | \(-0.00511830\pi\) | |||||||
\(968\) | 1.73205 | + | 1.00000i | 0.0556702 | + | 0.0321412i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 19.5000 | − | 33.7750i | 0.625785 | − | 1.08389i | −0.362604 | − | 0.931943i | \(-0.618112\pi\) |
0.988389 | − | 0.151948i | \(-0.0485545\pi\) | |||||||
\(972\) | 1.00000i | 0.0320750i | ||||||||
\(973\) | 1.73205 | − | 5.00000i | 0.0555270 | − | 0.160293i | ||||
\(974\) | 41.0000 | 1.31372 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 5.00000 | + | 8.66025i | 0.160046 | + | 0.277208i | ||||
\(977\) | 36.3731 | − | 21.0000i | 1.16368 | − | 0.671850i | 0.211495 | − | 0.977379i | \(-0.432167\pi\) |
0.952183 | + | 0.305530i | \(0.0988335\pi\) | |||||||
\(978\) | 13.8564 | + | 8.00000i | 0.443079 | + | 0.255812i | ||||
\(979\) | −18.0000 | −0.575282 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 14.0000 | 0.446986 | ||||||||
\(982\) | −28.5788 | − | 16.5000i | −0.911987 | − | 0.526536i | ||||
\(983\) | −31.1769 | + | 18.0000i | −0.994389 | + | 0.574111i | −0.906583 | − | 0.422027i | \(-0.861319\pi\) |
−0.0878058 | + | 0.996138i | \(0.527985\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 5.19615 | − | 15.0000i | 0.165395 | − | 0.477455i | ||||
\(988\) | − | 16.0000i | − | 0.509028i | ||||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 6.50000 | + | 11.2583i | 0.206479 | + | 0.357633i | 0.950603 | − | 0.310409i | \(-0.100466\pi\) |
−0.744124 | + | 0.668042i | \(0.767133\pi\) | |||||||
\(992\) | −0.866025 | − | 0.500000i | −0.0274963 | − | 0.0158750i | ||||
\(993\) | − | 20.0000i | − | 0.634681i | ||||||
\(994\) | 12.0000 | − | 10.3923i | 0.380617 | − | 0.329624i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 4.50000 | − | 7.79423i | 0.142588 | − | 0.246970i | ||||
\(997\) | 12.1244 | − | 7.00000i | 0.383982 | − | 0.221692i | −0.295567 | − | 0.955322i | \(-0.595509\pi\) |
0.679549 | + | 0.733630i | \(0.262175\pi\) | |||||||
\(998\) | 1.73205 | − | 1.00000i | 0.0548271 | − | 0.0316544i | ||||
\(999\) | 4.00000 | − | 6.92820i | 0.126554 | − | 0.219199i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))