Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(99,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.e (of order \(9\), degree \(6\), 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: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{6} - x^{3} + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 38) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 245.1 | ||
Root | \(-0.766044 - 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 722.245 |
Dual form | 722.2.e.f.389.1 |
$q$-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 \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.173648 | + | 0.984808i | −0.122788 | + | 0.696364i | ||||
\(3\) | 0.766044 | + | 0.642788i | 0.442276 | + | 0.371114i | 0.836560 | − | 0.547875i | \(-0.184563\pi\) |
−0.394284 | + | 0.918989i | \(0.629007\pi\) | |||||||
\(4\) | −0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | ||||
\(5\) | 0 | 0 | −0.342020 | − | 0.939693i | \(-0.611111\pi\) | ||||
0.342020 | + | 0.939693i | \(0.388889\pi\) | |||||||
\(6\) | −0.766044 | + | 0.642788i | −0.312736 | + | 0.262417i | ||||
\(7\) | 0.500000 | + | 0.866025i | 0.188982 | + | 0.327327i | 0.944911 | − | 0.327327i | \(-0.106148\pi\) |
−0.755929 | + | 0.654654i | \(0.772814\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | −0.347296 | − | 1.96962i | −0.115765 | − | 0.656539i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.00000 | − | 5.19615i | 0.904534 | − | 1.56670i | 0.0829925 | − | 0.996550i | \(-0.473552\pi\) |
0.821541 | − | 0.570149i | \(-0.193114\pi\) | |||||||
\(12\) | −0.500000 | − | 0.866025i | −0.144338 | − | 0.250000i | ||||
\(13\) | 3.83022 | − | 3.21394i | 1.06231 | − | 0.891386i | 0.0679785 | − | 0.997687i | \(-0.478345\pi\) |
0.994334 | + | 0.106301i | \(0.0339006\pi\) | |||||||
\(14\) | −0.939693 | + | 0.342020i | −0.251143 | + | 0.0914087i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | 0.520945 | − | 2.95442i | 0.126348 | − | 0.716553i | −0.854151 | − | 0.520026i | \(-0.825922\pi\) |
0.980498 | − | 0.196527i | \(-0.0629665\pi\) | |||||||
\(18\) | 2.00000 | 0.471405 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.173648 | + | 0.984808i | −0.0378931 | + | 0.214903i | ||||
\(22\) | 4.59627 | + | 3.85673i | 0.979927 | + | 0.822257i | ||||
\(23\) | −2.81908 | − | 1.02606i | −0.587818 | − | 0.213948i | 0.0309512 | − | 0.999521i | \(-0.490146\pi\) |
−0.618770 | + | 0.785573i | \(0.712369\pi\) | |||||||
\(24\) | 0.939693 | − | 0.342020i | 0.191814 | − | 0.0698146i | ||||
\(25\) | −3.83022 | + | 3.21394i | −0.766044 | + | 0.642788i | ||||
\(26\) | 2.50000 | + | 4.33013i | 0.490290 | + | 0.849208i | ||||
\(27\) | 2.50000 | − | 4.33013i | 0.481125 | − | 0.833333i | ||||
\(28\) | −0.173648 | − | 0.984808i | −0.0328164 | − | 0.186111i | ||||
\(29\) | 1.56283 | + | 8.86327i | 0.290211 | + | 1.64587i | 0.686055 | + | 0.727550i | \(0.259341\pi\) |
−0.395844 | + | 0.918318i | \(0.629548\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.00000 | + | 3.46410i | 0.359211 | + | 0.622171i | 0.987829 | − | 0.155543i | \(-0.0497126\pi\) |
−0.628619 | + | 0.777714i | \(0.716379\pi\) | |||||||
\(32\) | −0.766044 | + | 0.642788i | −0.135419 | + | 0.113630i | ||||
\(33\) | 5.63816 | − | 2.05212i | 0.981477 | − | 0.357228i | ||||
\(34\) | 2.81908 | + | 1.02606i | 0.483468 | + | 0.175968i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.347296 | + | 1.96962i | −0.0578827 | + | 0.328269i | ||||
\(37\) | 2.00000 | 0.328798 | 0.164399 | − | 0.986394i | \(-0.447432\pi\) | ||||
0.164399 | + | 0.986394i | \(0.447432\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 5.00000 | 0.800641 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0 | 0 | 0.642788 | − | 0.766044i | \(-0.277778\pi\) | ||||
−0.642788 | + | 0.766044i | \(0.722222\pi\) | |||||||
\(42\) | −0.939693 | − | 0.342020i | −0.144998 | − | 0.0527749i | ||||
\(43\) | −7.51754 | + | 2.73616i | −1.14641 | + | 0.417261i | −0.844226 | − | 0.535988i | \(-0.819939\pi\) |
−0.302188 | + | 0.953248i | \(0.597717\pi\) | |||||||
\(44\) | −4.59627 | + | 3.85673i | −0.692913 | + | 0.581423i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.50000 | − | 2.59808i | 0.221163 | − | 0.383065i | ||||
\(47\) | 0 | 0 | 0.984808 | − | 0.173648i | \(-0.0555556\pi\) | ||||
−0.984808 | + | 0.173648i | \(0.944444\pi\) | |||||||
\(48\) | 0.173648 | + | 0.984808i | 0.0250640 | + | 0.142145i | ||||
\(49\) | 3.00000 | − | 5.19615i | 0.428571 | − | 0.742307i | ||||
\(50\) | −2.50000 | − | 4.33013i | −0.353553 | − | 0.612372i | ||||
\(51\) | 2.29813 | − | 1.92836i | 0.321803 | − | 0.270025i | ||||
\(52\) | −4.69846 | + | 1.71010i | −0.651560 | + | 0.237148i | ||||
\(53\) | 2.81908 | + | 1.02606i | 0.387230 | + | 0.140940i | 0.528297 | − | 0.849060i | \(-0.322831\pi\) |
−0.141066 | + | 0.990000i | \(0.545053\pi\) | |||||||
\(54\) | 3.83022 | + | 3.21394i | 0.521227 | + | 0.437362i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 1.00000 | 0.133631 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −9.00000 | −1.18176 | ||||||||
\(59\) | 1.56283 | − | 8.86327i | 0.203464 | − | 1.15390i | −0.696376 | − | 0.717678i | \(-0.745205\pi\) |
0.899839 | − | 0.436222i | \(-0.143684\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 9.39693 | + | 3.42020i | 1.20315 | + | 0.437912i | 0.864324 | − | 0.502936i | \(-0.167747\pi\) |
0.338829 | + | 0.940848i | \(0.389969\pi\) | |||||||
\(62\) | −3.75877 | + | 1.36808i | −0.477364 | + | 0.173746i | ||||
\(63\) | 1.53209 | − | 1.28558i | 0.193025 | − | 0.161967i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 1.04189 | + | 5.90885i | 0.128248 | + | 0.727329i | ||||
\(67\) | 0.868241 | + | 4.92404i | 0.106073 | + | 0.601567i | 0.990787 | + | 0.135433i | \(0.0432425\pi\) |
−0.884714 | + | 0.466134i | \(0.845646\pi\) | |||||||
\(68\) | −1.50000 | + | 2.59808i | −0.181902 | + | 0.315063i | ||||
\(69\) | −1.50000 | − | 2.59808i | −0.180579 | − | 0.312772i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.63816 | − | 2.05212i | 0.669126 | − | 0.243542i | 0.0149545 | − | 0.999888i | \(-0.495240\pi\) |
0.654172 | + | 0.756346i | \(0.273017\pi\) | |||||||
\(72\) | −1.87939 | − | 0.684040i | −0.221488 | − | 0.0806149i | ||||
\(73\) | −5.36231 | − | 4.49951i | −0.627611 | − | 0.526628i | 0.272575 | − | 0.962135i | \(-0.412125\pi\) |
−0.900186 | + | 0.435506i | \(0.856569\pi\) | |||||||
\(74\) | −0.347296 | + | 1.96962i | −0.0403724 | + | 0.228963i | ||||
\(75\) | −5.00000 | −0.577350 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 6.00000 | 0.683763 | ||||||||
\(78\) | −0.868241 | + | 4.92404i | −0.0983089 | + | 0.557538i | ||||
\(79\) | −7.66044 | − | 6.42788i | −0.861867 | − | 0.723193i | 0.100502 | − | 0.994937i | \(-0.467955\pi\) |
−0.962369 | + | 0.271744i | \(0.912400\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.939693 | + | 0.342020i | −0.104410 | + | 0.0380022i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 3.00000 | + | 5.19615i | 0.329293 | + | 0.570352i | 0.982372 | − | 0.186938i | \(-0.0598564\pi\) |
−0.653079 | + | 0.757290i | \(0.726523\pi\) | |||||||
\(84\) | 0.500000 | − | 0.866025i | 0.0545545 | − | 0.0944911i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −1.38919 | − | 7.87846i | −0.149800 | − | 0.849556i | ||||
\(87\) | −4.50000 | + | 7.79423i | −0.482451 | + | 0.835629i | ||||
\(88\) | −3.00000 | − | 5.19615i | −0.319801 | − | 0.553912i | ||||
\(89\) | −9.19253 | + | 7.71345i | −0.974407 | + | 0.817624i | −0.983236 | − | 0.182337i | \(-0.941634\pi\) |
0.00882955 | + | 0.999961i | \(0.497189\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.69846 | + | 1.71010i | 0.492533 | + | 0.179267i | ||||
\(92\) | 2.29813 | + | 1.92836i | 0.239597 | + | 0.201046i | ||||
\(93\) | −0.694593 | + | 3.93923i | −0.0720259 | + | 0.408479i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −1.00000 | −0.102062 | ||||||||
\(97\) | −1.73648 | + | 9.84808i | −0.176313 | + | 0.999921i | 0.760304 | + | 0.649567i | \(0.225050\pi\) |
−0.936617 | + | 0.350354i | \(0.886061\pi\) | |||||||
\(98\) | 4.59627 | + | 3.85673i | 0.464293 | + | 0.389588i | ||||
\(99\) | −11.2763 | − | 4.10424i | −1.13331 | − | 0.412492i | ||||
\(100\) | 4.69846 | − | 1.71010i | 0.469846 | − | 0.171010i | ||||
\(101\) | 13.7888 | − | 11.5702i | 1.37204 | − | 1.15128i | 0.399982 | − | 0.916523i | \(-0.369016\pi\) |
0.972055 | − | 0.234753i | \(-0.0754280\pi\) | |||||||
\(102\) | 1.50000 | + | 2.59808i | 0.148522 | + | 0.257248i | ||||
\(103\) | −7.00000 | + | 12.1244i | −0.689730 | + | 1.19465i | 0.282194 | + | 0.959357i | \(0.408938\pi\) |
−0.971925 | + | 0.235291i | \(0.924396\pi\) | |||||||
\(104\) | −0.868241 | − | 4.92404i | −0.0851380 | − | 0.482842i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.50000 | + | 2.59808i | −0.145693 | + | 0.252347i | ||||
\(107\) | 4.50000 | + | 7.79423i | 0.435031 | + | 0.753497i | 0.997298 | − | 0.0734594i | \(-0.0234039\pi\) |
−0.562267 | + | 0.826956i | \(0.690071\pi\) | |||||||
\(108\) | −3.83022 | + | 3.21394i | −0.368563 | + | 0.309261i | ||||
\(109\) | −10.3366 | + | 3.76222i | −0.990069 | + | 0.360355i | −0.785747 | − | 0.618548i | \(-0.787721\pi\) |
−0.204322 | + | 0.978904i | \(0.565499\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 1.53209 | + | 1.28558i | 0.145419 | + | 0.122021i | ||||
\(112\) | −0.173648 | + | 0.984808i | −0.0164082 | + | 0.0930556i | ||||
\(113\) | 6.00000 | 0.564433 | 0.282216 | − | 0.959351i | \(-0.408930\pi\) | ||||
0.282216 | + | 0.959351i | \(0.408930\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 1.56283 | − | 8.86327i | 0.145105 | − | 0.822934i | ||||
\(117\) | −7.66044 | − | 6.42788i | −0.708208 | − | 0.594257i | ||||
\(118\) | 8.45723 | + | 3.07818i | 0.778551 | + | 0.283370i | ||||
\(119\) | 2.81908 | − | 1.02606i | 0.258424 | − | 0.0940588i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −12.5000 | − | 21.6506i | −1.13636 | − | 1.96824i | ||||
\(122\) | −5.00000 | + | 8.66025i | −0.452679 | + | 0.784063i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.694593 | − | 3.93923i | −0.0623763 | − | 0.353753i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 1.00000 | + | 1.73205i | 0.0890871 | + | 0.154303i | ||||
\(127\) | 1.53209 | − | 1.28558i | 0.135951 | − | 0.114076i | −0.572276 | − | 0.820061i | \(-0.693940\pi\) |
0.708227 | + | 0.705984i | \(0.249495\pi\) | |||||||
\(128\) | 0.939693 | − | 0.342020i | 0.0830579 | − | 0.0302306i | ||||
\(129\) | −7.51754 | − | 2.73616i | −0.661883 | − | 0.240906i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 0 | 0 | −0.984808 | − | 0.173648i | \(-0.944444\pi\) | ||||
0.984808 | + | 0.173648i | \(0.0555556\pi\) | |||||||
\(132\) | −6.00000 | −0.522233 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −5.00000 | −0.431934 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.29813 | − | 1.92836i | −0.197063 | − | 0.165356i | ||||
\(137\) | 8.45723 | + | 3.07818i | 0.722550 | + | 0.262987i | 0.677008 | − | 0.735976i | \(-0.263276\pi\) |
0.0455422 | + | 0.998962i | \(0.485498\pi\) | |||||||
\(138\) | 2.81908 | − | 1.02606i | 0.239976 | − | 0.0873441i | ||||
\(139\) | −3.06418 | + | 2.57115i | −0.259900 | + | 0.218082i | −0.763421 | − | 0.645901i | \(-0.776482\pi\) |
0.503521 | + | 0.863983i | \(0.332038\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1.04189 | + | 5.90885i | 0.0874334 | + | 0.495859i | ||||
\(143\) | −5.20945 | − | 29.5442i | −0.435636 | − | 2.47061i | ||||
\(144\) | 1.00000 | − | 1.73205i | 0.0833333 | − | 0.144338i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 5.36231 | − | 4.49951i | 0.443788 | − | 0.372382i | ||||
\(147\) | 5.63816 | − | 2.05212i | 0.465027 | − | 0.169256i | ||||
\(148\) | −1.87939 | − | 0.684040i | −0.154485 | − | 0.0562278i | ||||
\(149\) | 0 | 0 | 0.642788 | − | 0.766044i | \(-0.277778\pi\) | ||||
−0.642788 | + | 0.766044i | \(0.722222\pi\) | |||||||
\(150\) | 0.868241 | − | 4.92404i | 0.0708916 | − | 0.402046i | ||||
\(151\) | −10.0000 | −0.813788 | −0.406894 | − | 0.913475i | \(-0.633388\pi\) | ||||
−0.406894 | + | 0.913475i | \(0.633388\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −6.00000 | −0.485071 | ||||||||
\(154\) | −1.04189 | + | 5.90885i | −0.0839578 | + | 0.476148i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −4.69846 | − | 1.71010i | −0.376178 | − | 0.136918i | ||||
\(157\) | 20.6732 | − | 7.52444i | 1.64990 | − | 0.600516i | 0.661175 | − | 0.750232i | \(-0.270058\pi\) |
0.988729 | + | 0.149716i | \(0.0478359\pi\) | |||||||
\(158\) | 7.66044 | − | 6.42788i | 0.609432 | − | 0.511374i | ||||
\(159\) | 1.50000 | + | 2.59808i | 0.118958 | + | 0.206041i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.520945 | − | 2.95442i | −0.0410562 | − | 0.232841i | ||||
\(162\) | −0.173648 | − | 0.984808i | −0.0136431 | − | 0.0773738i | ||||
\(163\) | −10.0000 | + | 17.3205i | −0.783260 | + | 1.35665i | 0.146772 | + | 0.989170i | \(0.453112\pi\) |
−0.930033 | + | 0.367477i | \(0.880222\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −5.63816 | + | 2.05212i | −0.437606 | + | 0.159275i | ||||
\(167\) | −11.2763 | − | 4.10424i | −0.872587 | − | 0.317596i | −0.133373 | − | 0.991066i | \(-0.542581\pi\) |
−0.739214 | + | 0.673470i | \(0.764803\pi\) | |||||||
\(168\) | 0.766044 | + | 0.642788i | 0.0591016 | + | 0.0495921i | ||||
\(169\) | 2.08378 | − | 11.8177i | 0.160291 | − | 0.909053i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 8.00000 | 0.609994 | ||||||||
\(173\) | 1.04189 | − | 5.90885i | 0.0792134 | − | 0.449241i | −0.919243 | − | 0.393692i | \(-0.871198\pi\) |
0.998456 | − | 0.0555496i | \(-0.0176911\pi\) | |||||||
\(174\) | −6.89440 | − | 5.78509i | −0.522663 | − | 0.438566i | ||||
\(175\) | −4.69846 | − | 1.71010i | −0.355170 | − | 0.129271i | ||||
\(176\) | 5.63816 | − | 2.05212i | 0.424992 | − | 0.154684i | ||||
\(177\) | 6.89440 | − | 5.78509i | 0.518215 | − | 0.434834i | ||||
\(178\) | −6.00000 | − | 10.3923i | −0.449719 | − | 0.778936i | ||||
\(179\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.347296 | + | 1.96962i | 0.0258143 | + | 0.146400i | 0.994991 | − | 0.0999676i | \(-0.0318739\pi\) |
−0.969176 | + | 0.246368i | \(0.920763\pi\) | |||||||
\(182\) | −2.50000 | + | 4.33013i | −0.185312 | + | 0.320970i | ||||
\(183\) | 5.00000 | + | 8.66025i | 0.369611 | + | 0.640184i | ||||
\(184\) | −2.29813 | + | 1.92836i | −0.169421 | + | 0.142161i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −3.75877 | − | 1.36808i | −0.275606 | − | 0.100313i | ||||
\(187\) | −13.7888 | − | 11.5702i | −1.00834 | − | 0.846095i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 5.00000 | 0.363696 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 3.00000 | 0.217072 | 0.108536 | − | 0.994092i | \(-0.465384\pi\) | ||||
0.108536 | + | 0.994092i | \(0.465384\pi\) | |||||||
\(192\) | 0.173648 | − | 0.984808i | 0.0125320 | − | 0.0710724i | ||||
\(193\) | 10.7246 | + | 8.99903i | 0.771975 | + | 0.647764i | 0.941214 | − | 0.337811i | \(-0.109686\pi\) |
−0.169239 | + | 0.985575i | \(0.554131\pi\) | |||||||
\(194\) | −9.39693 | − | 3.42020i | −0.674660 | − | 0.245556i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −4.59627 | + | 3.85673i | −0.328305 | + | 0.275480i | ||||
\(197\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(198\) | 6.00000 | − | 10.3923i | 0.426401 | − | 0.738549i | ||||
\(199\) | 1.91013 | + | 10.8329i | 0.135406 | + | 0.767923i | 0.974576 | + | 0.224055i | \(0.0719296\pi\) |
−0.839171 | + | 0.543868i | \(0.816959\pi\) | |||||||
\(200\) | 0.868241 | + | 4.92404i | 0.0613939 | + | 0.348182i | ||||
\(201\) | −2.50000 | + | 4.33013i | −0.176336 | + | 0.305424i | ||||
\(202\) | 9.00000 | + | 15.5885i | 0.633238 | + | 1.09680i | ||||
\(203\) | −6.89440 | + | 5.78509i | −0.483892 | + | 0.406034i | ||||
\(204\) | −2.81908 | + | 1.02606i | −0.197375 | + | 0.0718386i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −10.7246 | − | 8.99903i | −0.747220 | − | 0.626992i | ||||
\(207\) | −1.04189 | + | 5.90885i | −0.0724163 | + | 0.410693i | ||||
\(208\) | 5.00000 | 0.346688 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.868241 | − | 4.92404i | 0.0597722 | − | 0.338985i | −0.940227 | − | 0.340549i | \(-0.889387\pi\) |
0.999999 | + | 0.00156464i | \(0.000498040\pi\) | |||||||
\(212\) | −2.29813 | − | 1.92836i | −0.157836 | − | 0.132441i | ||||
\(213\) | 5.63816 | + | 2.05212i | 0.386320 | + | 0.140609i | ||||
\(214\) | −8.45723 | + | 3.07818i | −0.578125 | + | 0.210420i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −2.50000 | − | 4.33013i | −0.170103 | − | 0.294628i | ||||
\(217\) | −2.00000 | + | 3.46410i | −0.135769 | + | 0.235159i | ||||
\(218\) | −1.91013 | − | 10.8329i | −0.129370 | − | 0.733696i | ||||
\(219\) | −1.21554 | − | 6.89365i | −0.0821384 | − | 0.465830i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −7.50000 | − | 12.9904i | −0.504505 | − | 0.873828i | ||||
\(222\) | −1.53209 | + | 1.28558i | −0.102827 | + | 0.0862822i | ||||
\(223\) | −24.4320 | + | 8.89252i | −1.63609 | + | 0.595487i | −0.986349 | − | 0.164670i | \(-0.947344\pi\) |
−0.649739 | + | 0.760157i | \(0.725122\pi\) | |||||||
\(224\) | −0.939693 | − | 0.342020i | −0.0627859 | − | 0.0228522i | ||||
\(225\) | 7.66044 | + | 6.42788i | 0.510696 | + | 0.428525i | ||||
\(226\) | −1.04189 | + | 5.90885i | −0.0693054 | + | 0.393051i | ||||
\(227\) | −15.0000 | −0.995585 | −0.497792 | − | 0.867296i | \(-0.665856\pi\) | ||||
−0.497792 | + | 0.867296i | \(0.665856\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −22.0000 | −1.45380 | −0.726900 | − | 0.686743i | \(-0.759040\pi\) | ||||
−0.726900 | + | 0.686743i | \(0.759040\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 4.59627 | + | 3.85673i | 0.302412 | + | 0.253754i | ||||
\(232\) | 8.45723 | + | 3.07818i | 0.555245 | + | 0.202093i | ||||
\(233\) | 5.63816 | − | 2.05212i | 0.369368 | − | 0.134439i | −0.150666 | − | 0.988585i | \(-0.548142\pi\) |
0.520033 | + | 0.854146i | \(0.325919\pi\) | |||||||
\(234\) | 7.66044 | − | 6.42788i | 0.500779 | − | 0.420203i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −4.50000 | + | 7.79423i | −0.292925 | + | 0.507361i | ||||
\(237\) | −1.73648 | − | 9.84808i | −0.112797 | − | 0.639701i | ||||
\(238\) | 0.520945 | + | 2.95442i | 0.0337678 | + | 0.191507i | ||||
\(239\) | 10.5000 | − | 18.1865i | 0.679189 | − | 1.17639i | −0.296037 | − | 0.955176i | \(-0.595665\pi\) |
0.975226 | − | 0.221213i | \(-0.0710015\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 6.12836 | − | 5.14230i | 0.394762 | − | 0.331245i | −0.423703 | − | 0.905801i | \(-0.639270\pi\) |
0.818465 | + | 0.574557i | \(0.194825\pi\) | |||||||
\(242\) | 23.4923 | − | 8.55050i | 1.51014 | − | 0.549647i | ||||
\(243\) | −15.0351 | − | 5.47232i | −0.964501 | − | 0.351050i | ||||
\(244\) | −7.66044 | − | 6.42788i | −0.490410 | − | 0.411503i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 4.00000 | 0.254000 | ||||||||
\(249\) | −1.04189 | + | 5.90885i | −0.0660270 | + | 0.374458i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −5.63816 | − | 2.05212i | −0.355877 | − | 0.129529i | 0.157894 | − | 0.987456i | \(-0.449530\pi\) |
−0.513771 | + | 0.857927i | \(0.671752\pi\) | |||||||
\(252\) | −1.87939 | + | 0.684040i | −0.118390 | + | 0.0430905i | ||||
\(253\) | −13.7888 | + | 11.5702i | −0.866894 | + | 0.727411i | ||||
\(254\) | 1.00000 | + | 1.73205i | 0.0627456 | + | 0.108679i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | 2.08378 | + | 11.8177i | 0.129983 | + | 0.737167i | 0.978223 | + | 0.207556i | \(0.0665510\pi\) |
−0.848241 | + | 0.529611i | \(0.822338\pi\) | |||||||
\(258\) | 4.00000 | − | 6.92820i | 0.249029 | − | 0.431331i | ||||
\(259\) | 1.00000 | + | 1.73205i | 0.0621370 | + | 0.107624i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 16.9145 | − | 6.15636i | 1.04698 | − | 0.381069i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 18.3851 | + | 15.4269i | 1.13367 | + | 0.951264i | 0.999213 | − | 0.0396557i | \(-0.0126261\pi\) |
0.134458 | + | 0.990919i | \(0.457071\pi\) | |||||||
\(264\) | 1.04189 | − | 5.90885i | 0.0641238 | − | 0.363664i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −12.0000 | −0.734388 | ||||||||
\(268\) | 0.868241 | − | 4.92404i | 0.0530363 | − | 0.300784i | ||||
\(269\) | −4.59627 | − | 3.85673i | −0.280239 | − | 0.235149i | 0.491824 | − | 0.870695i | \(-0.336331\pi\) |
−0.772063 | + | 0.635546i | \(0.780775\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −10.3366 | + | 3.76222i | −0.627905 | + | 0.228539i | −0.636319 | − | 0.771426i | \(-0.719544\pi\) |
0.00841427 | + | 0.999965i | \(0.497322\pi\) | |||||||
\(272\) | 2.29813 | − | 1.92836i | 0.139345 | − | 0.116924i | ||||
\(273\) | 2.50000 | + | 4.33013i | 0.151307 | + | 0.262071i | ||||
\(274\) | −4.50000 | + | 7.79423i | −0.271855 | + | 0.470867i | ||||
\(275\) | 5.20945 | + | 29.5442i | 0.314141 | + | 1.78158i | ||||
\(276\) | 0.520945 | + | 2.95442i | 0.0313572 | + | 0.177835i | ||||
\(277\) | −4.00000 | + | 6.92820i | −0.240337 | + | 0.416275i | −0.960810 | − | 0.277207i | \(-0.910591\pi\) |
0.720473 | + | 0.693482i | \(0.243925\pi\) | |||||||
\(278\) | −2.00000 | − | 3.46410i | −0.119952 | − | 0.207763i | ||||
\(279\) | 6.12836 | − | 5.14230i | 0.366895 | − | 0.307862i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0 | 0 | 0.342020 | − | 0.939693i | \(-0.388889\pi\) | ||||
−0.342020 | + | 0.939693i | \(0.611111\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −3.82026 | + | 21.6658i | −0.227091 | + | 1.28790i | 0.631557 | + | 0.775330i | \(0.282416\pi\) |
−0.858647 | + | 0.512567i | \(0.828695\pi\) | |||||||
\(284\) | −6.00000 | −0.356034 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 30.0000 | 1.77394 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 1.53209 | + | 1.28558i | 0.0902792 | + | 0.0757532i | ||||
\(289\) | 7.51754 | + | 2.73616i | 0.442208 | + | 0.160951i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −7.66044 | + | 6.42788i | −0.449063 | + | 0.376809i | ||||
\(292\) | 3.50000 | + | 6.06218i | 0.204822 | + | 0.354762i | ||||
\(293\) | 10.5000 | − | 18.1865i | 0.613417 | − | 1.06247i | −0.377244 | − | 0.926114i | \(-0.623128\pi\) |
0.990660 | − | 0.136355i | \(-0.0435386\pi\) | |||||||
\(294\) | 1.04189 | + | 5.90885i | 0.0607642 | + | 0.344611i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 1.00000 | − | 1.73205i | 0.0581238 | − | 0.100673i | ||||
\(297\) | −15.0000 | − | 25.9808i | −0.870388 | − | 1.50756i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −14.0954 | + | 5.13030i | −0.815157 | + | 0.296693i | ||||
\(300\) | 4.69846 | + | 1.71010i | 0.271266 | + | 0.0987327i | ||||
\(301\) | −6.12836 | − | 5.14230i | −0.353233 | − | 0.296397i | ||||
\(302\) | 1.73648 | − | 9.84808i | 0.0999233 | − | 0.566693i | ||||
\(303\) | 18.0000 | 1.03407 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 1.04189 | − | 5.90885i | 0.0595608 | − | 0.337786i | ||||
\(307\) | 15.3209 | + | 12.8558i | 0.874409 | + | 0.733717i | 0.965022 | − | 0.262170i | \(-0.0844380\pi\) |
−0.0906125 | + | 0.995886i | \(0.528882\pi\) | |||||||
\(308\) | −5.63816 | − | 2.05212i | −0.321264 | − | 0.116930i | ||||
\(309\) | −13.1557 | + | 4.78828i | −0.748401 | + | 0.272396i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 10.5000 | + | 18.1865i | 0.595400 | + | 1.03126i | 0.993490 | + | 0.113917i | \(0.0363399\pi\) |
−0.398090 | + | 0.917346i | \(0.630327\pi\) | |||||||
\(312\) | 2.50000 | − | 4.33013i | 0.141535 | − | 0.245145i | ||||
\(313\) | −3.29932 | − | 18.7113i | −0.186488 | − | 1.05763i | −0.924028 | − | 0.382324i | \(-0.875124\pi\) |
0.737540 | − | 0.675304i | \(-0.235987\pi\) | |||||||
\(314\) | 3.82026 | + | 21.6658i | 0.215590 | + | 1.22267i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 5.00000 | + | 8.66025i | 0.281272 | + | 0.487177i | ||||
\(317\) | −6.89440 | + | 5.78509i | −0.387228 | + | 0.324923i | −0.815532 | − | 0.578712i | \(-0.803556\pi\) |
0.428304 | + | 0.903635i | \(0.359111\pi\) | |||||||
\(318\) | −2.81908 | + | 1.02606i | −0.158086 | + | 0.0575386i | ||||
\(319\) | 50.7434 | + | 18.4691i | 2.84109 | + | 1.03407i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −1.56283 | + | 8.86327i | −0.0872289 | + | 0.494699i | ||||
\(322\) | 3.00000 | 0.167183 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | −4.34120 | + | 24.6202i | −0.240807 | + | 1.36568i | ||||
\(326\) | −15.3209 | − | 12.8558i | −0.848546 | − | 0.712014i | ||||
\(327\) | −10.3366 | − | 3.76222i | −0.571616 | − | 0.208051i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.500000 | − | 0.866025i | 0.0274825 | − | 0.0476011i | −0.851957 | − | 0.523612i | \(-0.824584\pi\) |
0.879440 | + | 0.476011i | \(0.157918\pi\) | |||||||
\(332\) | −1.04189 | − | 5.90885i | −0.0571811 | − | 0.324290i | ||||
\(333\) | −0.694593 | − | 3.93923i | −0.0380634 | − | 0.215869i | ||||
\(334\) | 6.00000 | − | 10.3923i | 0.328305 | − | 0.568642i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −0.766044 | + | 0.642788i | −0.0417912 | + | 0.0350669i | ||||
\(337\) | 3.75877 | − | 1.36808i | 0.204753 | − | 0.0745241i | −0.237608 | − | 0.971361i | \(-0.576363\pi\) |
0.442361 | + | 0.896837i | \(0.354141\pi\) | |||||||
\(338\) | 11.2763 | + | 4.10424i | 0.613350 | + | 0.223241i | ||||
\(339\) | 4.59627 | + | 3.85673i | 0.249635 | + | 0.209469i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 24.0000 | 1.29967 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 13.0000 | 0.701934 | ||||||||
\(344\) | −1.38919 | + | 7.87846i | −0.0748999 | + | 0.424778i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 5.63816 | + | 2.05212i | 0.303109 | + | 0.110323i | ||||
\(347\) | −16.9145 | + | 6.15636i | −0.908016 | + | 0.330491i | −0.753460 | − | 0.657493i | \(-0.771617\pi\) |
−0.154556 | + | 0.987984i | \(0.549395\pi\) | |||||||
\(348\) | 6.89440 | − | 5.78509i | 0.369579 | − | 0.310113i | ||||
\(349\) | 5.00000 | + | 8.66025i | 0.267644 | + | 0.463573i | 0.968253 | − | 0.249973i | \(-0.0804216\pi\) |
−0.700609 | + | 0.713545i | \(0.747088\pi\) | |||||||
\(350\) | 2.50000 | − | 4.33013i | 0.133631 | − | 0.231455i | ||||
\(351\) | −4.34120 | − | 24.6202i | −0.231716 | − | 1.31413i | ||||
\(352\) | 1.04189 | + | 5.90885i | 0.0555329 | + | 0.314943i | ||||
\(353\) | 7.50000 | − | 12.9904i | 0.399185 | − | 0.691408i | −0.594441 | − | 0.804139i | \(-0.702627\pi\) |
0.993626 | + | 0.112731i | \(0.0359599\pi\) | |||||||
\(354\) | 4.50000 | + | 7.79423i | 0.239172 | + | 0.414259i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 11.2763 | − | 4.10424i | 0.597643 | − | 0.217524i | ||||
\(357\) | 2.81908 | + | 1.02606i | 0.149201 | + | 0.0543049i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 3.64661 | − | 20.6810i | 0.192461 | − | 1.09150i | −0.723528 | − | 0.690295i | \(-0.757481\pi\) |
0.915989 | − | 0.401204i | \(-0.131408\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | −2.00000 | −0.105118 | ||||||||
\(363\) | 4.34120 | − | 24.6202i | 0.227854 | − | 1.29223i | ||||
\(364\) | −3.83022 | − | 3.21394i | −0.200758 | − | 0.168456i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −9.39693 | + | 3.42020i | −0.491185 | + | 0.178777i | ||||
\(367\) | −21.4492 | + | 17.9981i | −1.11964 | + | 0.939491i | −0.998586 | − | 0.0531551i | \(-0.983072\pi\) |
−0.121055 | + | 0.992646i | \(0.538628\pi\) | |||||||
\(368\) | −1.50000 | − | 2.59808i | −0.0781929 | − | 0.135434i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.520945 | + | 2.95442i | 0.0270461 | + | 0.153386i | ||||
\(372\) | 2.00000 | − | 3.46410i | 0.103695 | − | 0.179605i | ||||
\(373\) | −11.5000 | − | 19.9186i | −0.595447 | − | 1.03135i | −0.993484 | − | 0.113975i | \(-0.963641\pi\) |
0.398036 | − | 0.917370i | \(-0.369692\pi\) | |||||||
\(374\) | 13.7888 | − | 11.5702i | 0.713002 | − | 0.598280i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 34.4720 | + | 28.9254i | 1.77540 | + | 1.48974i | ||||
\(378\) | −0.868241 | + | 4.92404i | −0.0446575 | + | 0.253265i | ||||
\(379\) | −7.00000 | −0.359566 | −0.179783 | − | 0.983706i | \(-0.557540\pi\) | ||||
−0.179783 | + | 0.983706i | \(0.557540\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 2.00000 | 0.102463 | ||||||||
\(382\) | −0.520945 | + | 2.95442i | −0.0266538 | + | 0.151161i | ||||
\(383\) | 13.7888 | + | 11.5702i | 0.704575 | + | 0.591208i | 0.923071 | − | 0.384629i | \(-0.125671\pi\) |
−0.218496 | + | 0.975838i | \(0.570115\pi\) | |||||||
\(384\) | 0.939693 | + | 0.342020i | 0.0479535 | + | 0.0174536i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −10.7246 | + | 8.99903i | −0.545869 | + | 0.458038i | ||||
\(387\) | 8.00000 | + | 13.8564i | 0.406663 | + | 0.704361i | ||||
\(388\) | 5.00000 | − | 8.66025i | 0.253837 | − | 0.439658i | ||||
\(389\) | 3.12567 | + | 17.7265i | 0.158478 | + | 0.898771i | 0.955537 | + | 0.294871i | \(0.0952765\pi\) |
−0.797060 | + | 0.603901i | \(0.793612\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.50000 | + | 7.79423i | −0.227575 | + | 0.394171i | ||||
\(392\) | −3.00000 | − | 5.19615i | −0.151523 | − | 0.262445i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 9.19253 | + | 7.71345i | 0.461942 | + | 0.387616i | ||||
\(397\) | 3.47296 | − | 19.6962i | 0.174303 | − | 0.988522i | −0.764642 | − | 0.644455i | \(-0.777084\pi\) |
0.938945 | − | 0.344067i | \(-0.111805\pi\) | |||||||
\(398\) | −11.0000 | −0.551380 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.00000 | −0.250000 | ||||||||
\(401\) | 0 | 0 | −0.984808 | − | 0.173648i | \(-0.944444\pi\) | ||||
0.984808 | + | 0.173648i | \(0.0555556\pi\) | |||||||
\(402\) | −3.83022 | − | 3.21394i | −0.191034 | − | 0.160297i | ||||
\(403\) | 18.7939 | + | 6.84040i | 0.936188 | + | 0.340745i | ||||
\(404\) | −16.9145 | + | 6.15636i | −0.841526 | + | 0.306290i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −4.50000 | − | 7.79423i | −0.223331 | − | 0.386821i | ||||
\(407\) | 6.00000 | − | 10.3923i | 0.297409 | − | 0.515127i | ||||
\(408\) | −0.520945 | − | 2.95442i | −0.0257906 | − | 0.146266i | ||||
\(409\) | 5.55674 | + | 31.5138i | 0.274763 | + | 1.55826i | 0.739713 | + | 0.672922i | \(0.234961\pi\) |
−0.464950 | + | 0.885337i | \(0.653928\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 4.50000 | + | 7.79423i | 0.221969 | + | 0.384461i | ||||
\(412\) | 10.7246 | − | 8.99903i | 0.528364 | − | 0.443350i | ||||
\(413\) | 8.45723 | − | 3.07818i | 0.416153 | − | 0.151467i | ||||
\(414\) | −5.63816 | − | 2.05212i | −0.277100 | − | 0.100856i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −0.868241 | + | 4.92404i | −0.0425690 | + | 0.241421i | ||||
\(417\) | −4.00000 | −0.195881 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −12.0000 | −0.586238 | −0.293119 | − | 0.956076i | \(-0.594693\pi\) | ||||
−0.293119 | + | 0.956076i | \(0.594693\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 13.0228 | + | 10.9274i | 0.634690 | + | 0.532568i | 0.902382 | − | 0.430936i | \(-0.141817\pi\) |
−0.267692 | + | 0.963504i | \(0.586261\pi\) | |||||||
\(422\) | 4.69846 | + | 1.71010i | 0.228718 | + | 0.0832464i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 2.29813 | − | 1.92836i | 0.111607 | − | 0.0936496i | ||||
\(425\) | 7.50000 | + | 12.9904i | 0.363803 | + | 0.630126i | ||||
\(426\) | −3.00000 | + | 5.19615i | −0.145350 | + | 0.251754i | ||||
\(427\) | 1.73648 | + | 9.84808i | 0.0840342 | + | 0.476582i | ||||
\(428\) | −1.56283 | − | 8.86327i | −0.0755424 | − | 0.428422i | ||||
\(429\) | 15.0000 | − | 25.9808i | 0.724207 | − | 1.25436i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 4.59627 | − | 3.85673i | 0.221394 | − | 0.185772i | −0.525344 | − | 0.850890i | \(-0.676063\pi\) |
0.746738 | + | 0.665118i | \(0.231619\pi\) | |||||||
\(432\) | 4.69846 | − | 1.71010i | 0.226055 | − | 0.0822773i | ||||
\(433\) | −1.87939 | − | 0.684040i | −0.0903175 | − | 0.0328729i | 0.296466 | − | 0.955043i | \(-0.404192\pi\) |
−0.386784 | + | 0.922170i | \(0.626414\pi\) | |||||||
\(434\) | −3.06418 | − | 2.57115i | −0.147085 | − | 0.123419i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 11.0000 | 0.526804 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 7.00000 | 0.334473 | ||||||||
\(439\) | −4.86215 | + | 27.5746i | −0.232058 | + | 1.31606i | 0.616665 | + | 0.787226i | \(0.288483\pi\) |
−0.848722 | + | 0.528839i | \(0.822628\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −11.2763 | − | 4.10424i | −0.536967 | − | 0.195440i | ||||
\(442\) | 14.0954 | − | 5.13030i | 0.670449 | − | 0.244024i | ||||
\(443\) | −13.7888 | + | 11.5702i | −0.655126 | + | 0.549716i | −0.908621 | − | 0.417621i | \(-0.862864\pi\) |
0.253496 | + | 0.967336i | \(0.418420\pi\) | |||||||
\(444\) | −1.00000 | − | 1.73205i | −0.0474579 | − | 0.0821995i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −4.51485 | − | 25.6050i | −0.213784 | − | 1.21243i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.500000 | − | 0.866025i | 0.0236228 | − | 0.0409159i | ||||
\(449\) | 9.00000 | + | 15.5885i | 0.424736 | + | 0.735665i | 0.996396 | − | 0.0848262i | \(-0.0270335\pi\) |
−0.571660 | + | 0.820491i | \(0.693700\pi\) | |||||||
\(450\) | −7.66044 | + | 6.42788i | −0.361117 | + | 0.303013i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −5.63816 | − | 2.05212i | −0.265197 | − | 0.0965236i | ||||
\(453\) | −7.66044 | − | 6.42788i | −0.359919 | − | 0.302008i | ||||
\(454\) | 2.60472 | − | 14.7721i | 0.122246 | − | 0.693290i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 17.0000 | 0.795226 | 0.397613 | − | 0.917553i | \(-0.369839\pi\) | ||||
0.397613 | + | 0.917553i | \(0.369839\pi\) | |||||||
\(458\) | 3.82026 | − | 21.6658i | 0.178509 | − | 1.01237i | ||||
\(459\) | −11.4907 | − | 9.64181i | −0.536338 | − | 0.450041i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 11.2763 | − | 4.10424i | 0.525190 | − | 0.191154i | −0.0657993 | − | 0.997833i | \(-0.520960\pi\) |
0.590989 | + | 0.806679i | \(0.298737\pi\) | |||||||
\(462\) | −4.59627 | + | 3.85673i | −0.213838 | + | 0.179431i | ||||
\(463\) | 2.00000 | + | 3.46410i | 0.0929479 | + | 0.160990i | 0.908750 | − | 0.417340i | \(-0.137038\pi\) |
−0.815802 | + | 0.578331i | \(0.803704\pi\) | |||||||
\(464\) | −4.50000 | + | 7.79423i | −0.208907 | + | 0.361838i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.04189 | + | 5.90885i | 0.0482646 | + | 0.273722i | ||||
\(467\) | −9.00000 | + | 15.5885i | −0.416470 | + | 0.721348i | −0.995582 | − | 0.0939008i | \(-0.970066\pi\) |
0.579111 | + | 0.815249i | \(0.303400\pi\) | |||||||
\(468\) | 5.00000 | + | 8.66025i | 0.231125 | + | 0.400320i | ||||
\(469\) | −3.83022 | + | 3.21394i | −0.176863 | + | 0.148406i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 20.6732 | + | 7.52444i | 0.952573 | + | 0.346708i | ||||
\(472\) | −6.89440 | − | 5.78509i | −0.317340 | − | 0.266280i | ||||
\(473\) | −8.33511 | + | 47.2708i | −0.383249 | + | 2.17351i | ||||
\(474\) | 10.0000 | 0.459315 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −3.00000 | −0.137505 | ||||||||
\(477\) | 1.04189 | − | 5.90885i | 0.0477048 | − | 0.270547i | ||||
\(478\) | 16.0869 | + | 13.4985i | 0.735799 | + | 0.617409i | ||||
\(479\) | −33.8289 | − | 12.3127i | −1.54568 | − | 0.562583i | −0.578283 | − | 0.815836i | \(-0.696277\pi\) |
−0.967400 | + | 0.253253i | \(0.918499\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 7.66044 | − | 6.42788i | 0.349286 | − | 0.293086i | ||||
\(482\) | 4.00000 | + | 6.92820i | 0.182195 | + | 0.315571i | ||||
\(483\) | 1.50000 | − | 2.59808i | 0.0682524 | − | 0.118217i | ||||
\(484\) | 4.34120 | + | 24.6202i | 0.197327 | + | 1.11910i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 8.00000 | − | 13.8564i | 0.362887 | − | 0.628539i | ||||
\(487\) | −1.00000 | − | 1.73205i | −0.0453143 | − | 0.0784867i | 0.842479 | − | 0.538730i | \(-0.181096\pi\) |
−0.887793 | + | 0.460243i | \(0.847762\pi\) | |||||||
\(488\) | 7.66044 | − | 6.42788i | 0.346772 | − | 0.290976i | ||||
\(489\) | −18.7939 | + | 6.84040i | −0.849887 | + | 0.309334i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −27.5776 | − | 23.1404i | −1.24456 | − | 1.04431i | −0.997154 | − | 0.0753977i | \(-0.975977\pi\) |
−0.247406 | − | 0.968912i | \(-0.579578\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 27.0000 | 1.21602 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.694593 | + | 3.93923i | −0.0311881 | + | 0.176877i | ||||
\(497\) | 4.59627 | + | 3.85673i | 0.206171 | + | 0.172998i | ||||
\(498\) | −5.63816 | − | 2.05212i | −0.252652 | − | 0.0919577i | ||||
\(499\) | 3.75877 | − | 1.36808i | 0.168266 | − | 0.0612437i | −0.256514 | − | 0.966541i | \(-0.582574\pi\) |
0.424779 | + | 0.905297i | \(0.360352\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −6.00000 | − | 10.3923i | −0.268060 | − | 0.464294i | ||||
\(502\) | 3.00000 | − | 5.19615i | 0.133897 | − | 0.231916i | ||||
\(503\) | −3.64661 | − | 20.6810i | −0.162594 | − | 0.922119i | −0.951510 | − | 0.307617i | \(-0.900468\pi\) |
0.788916 | − | 0.614501i | \(-0.210643\pi\) | |||||||
\(504\) | −0.347296 | − | 1.96962i | −0.0154698 | − | 0.0877336i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −9.00000 | − | 15.5885i | −0.400099 | − | 0.692991i | ||||
\(507\) | 9.19253 | − | 7.71345i | 0.408255 | − | 0.342566i | ||||
\(508\) | −1.87939 | + | 0.684040i | −0.0833842 | + | 0.0303494i | ||||
\(509\) | −28.1908 | − | 10.2606i | −1.24953 | − | 0.454793i | −0.369290 | − | 0.929314i | \(-0.620399\pi\) |
−0.880244 | + | 0.474521i | \(0.842621\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.21554 | − | 6.89365i | 0.0537722 | − | 0.304957i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −12.0000 | −0.529297 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 6.12836 | + | 5.14230i | 0.269786 | + | 0.226377i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −1.87939 | + | 0.684040i | −0.0825754 | + | 0.0300550i | ||||
\(519\) | 4.59627 | − | 3.85673i | 0.201754 | − | 0.169291i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 18.0000 | − | 31.1769i | 0.788594 | − | 1.36589i | −0.138234 | − | 0.990400i | \(-0.544143\pi\) |
0.926828 | − | 0.375486i | \(-0.122524\pi\) | |||||||
\(522\) | 3.12567 | + | 17.7265i | 0.136807 | + | 0.775870i | ||||
\(523\) | 1.91013 | + | 10.8329i | 0.0835242 | + | 0.473689i | 0.997665 | + | 0.0682930i | \(0.0217553\pi\) |
−0.914141 | + | 0.405396i | \(0.867134\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −2.50000 | − | 4.33013i | −0.109109 | − | 0.188982i | ||||
\(526\) | −18.3851 | + | 15.4269i | −0.801627 | + | 0.672645i | ||||
\(527\) | 11.2763 | − | 4.10424i | 0.491204 | − | 0.178784i | ||||
\(528\) | 5.63816 | + | 2.05212i | 0.245369 | + | 0.0893071i | ||||
\(529\) | −10.7246 | − | 8.99903i | −0.466288 | − | 0.391262i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −18.0000 | −0.781133 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 2.08378 | − | 11.8177i | 0.0901739 | − | 0.511402i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 4.69846 | + | 1.71010i | 0.202943 | + | 0.0738651i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 4.59627 | − | 3.85673i | 0.198159 | − | 0.166275i | ||||
\(539\) | −18.0000 | − | 31.1769i | −0.775315 | − | 1.34288i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 0.347296 | + | 1.96962i | 0.0149314 | + | 0.0846804i | 0.991363 | − | 0.131147i | \(-0.0418661\pi\) |
−0.976431 | + | 0.215828i | \(0.930755\pi\) | |||||||
\(542\) | −1.91013 | − | 10.8329i | −0.0820471 | − | 0.465312i | ||||
\(543\) | −1.00000 | + | 1.73205i | −0.0429141 | + | 0.0743294i | ||||
\(544\) | 1.50000 | + | 2.59808i | 0.0643120 | + | 0.111392i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −4.69846 | + | 1.71010i | −0.201076 | + | 0.0731856i | ||||
\(547\) | −41.3465 | − | 15.0489i | −1.76785 | − | 0.643444i | −0.999996 | − | 0.00281615i | \(-0.999104\pi\) |
−0.767852 | − | 0.640628i | \(-0.778674\pi\) | |||||||
\(548\) | −6.89440 | − | 5.78509i | −0.294514 | − | 0.247127i | ||||
\(549\) | 3.47296 | − | 19.6962i | 0.148222 | − | 0.840611i | ||||
\(550\) | −30.0000 | −1.27920 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −3.00000 | −0.127688 | ||||||||
\(553\) | 1.73648 | − | 9.84808i | 0.0738427 | − | 0.418783i | ||||
\(554\) | −6.12836 | − | 5.14230i | −0.260369 | − | 0.218475i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 3.75877 | − | 1.36808i | 0.159407 | − | 0.0580195i | ||||
\(557\) | 18.3851 | − | 15.4269i | 0.779000 | − | 0.653659i | −0.163996 | − | 0.986461i | \(-0.552439\pi\) |
0.942997 | + | 0.332802i | \(0.107994\pi\) | |||||||
\(558\) | 4.00000 | + | 6.92820i | 0.169334 | + | 0.293294i | ||||
\(559\) | −20.0000 | + | 34.6410i | −0.845910 | + | 1.46516i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.12567 | − | 17.7265i | −0.131966 | − | 0.748415i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 6.00000 | + | 10.3923i | 0.252870 | + | 0.437983i | 0.964315 | − | 0.264758i | \(-0.0852922\pi\) |
−0.711445 | + | 0.702742i | \(0.751959\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −20.6732 | − | 7.52444i | −0.868961 | − | 0.316276i | ||||
\(567\) | −0.766044 | − | 0.642788i | −0.0321708 | − | 0.0269945i | ||||
\(568\) | 1.04189 | − | 5.90885i | 0.0437167 | − | 0.247930i | ||||
\(569\) | −24.0000 | −1.00613 | −0.503066 | − | 0.864248i | \(-0.667795\pi\) | ||||
−0.503066 | + | 0.864248i | \(0.667795\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −4.00000 | −0.167395 | −0.0836974 | − | 0.996491i | \(-0.526673\pi\) | ||||
−0.0836974 | + | 0.996491i | \(0.526673\pi\) | |||||||
\(572\) | −5.20945 | + | 29.5442i | −0.217818 | + | 1.23531i | ||||
\(573\) | 2.29813 | + | 1.92836i | 0.0960059 | + | 0.0805585i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 14.0954 | − | 5.13030i | 0.587818 | − | 0.213948i | ||||
\(576\) | −1.53209 | + | 1.28558i | −0.0638370 | + | 0.0535656i | ||||
\(577\) | −5.50000 | − | 9.52628i | −0.228968 | − | 0.396584i | 0.728535 | − | 0.685009i | \(-0.240202\pi\) |
−0.957503 | + | 0.288425i | \(0.906868\pi\) | |||||||
\(578\) | −4.00000 | + | 6.92820i | −0.166378 | + | 0.288175i | ||||
\(579\) | 2.43107 | + | 13.7873i | 0.101032 | + | 0.572981i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −3.00000 | + | 5.19615i | −0.124461 | + | 0.215573i | ||||
\(582\) | −5.00000 | − | 8.66025i | −0.207257 | − | 0.358979i | ||||
\(583\) | 13.7888 | − | 11.5702i | 0.571074 | − | 0.479188i | ||||
\(584\) | −6.57785 | + | 2.39414i | −0.272193 | + | 0.0990703i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 16.0869 | + | 13.4985i | 0.664545 | + | 0.557620i | ||||
\(587\) | −2.08378 | + | 11.8177i | −0.0860067 | + | 0.487768i | 0.911128 | + | 0.412123i | \(0.135213\pi\) |
−0.997135 | + | 0.0756451i | \(0.975898\pi\) | |||||||
\(588\) | −6.00000 | −0.247436 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.53209 | + | 1.28558i | 0.0629685 | + | 0.0528368i | ||||
\(593\) | 28.1908 | + | 10.2606i | 1.15766 | + | 0.421353i | 0.848260 | − | 0.529580i | \(-0.177651\pi\) |
0.309397 | + | 0.950933i | \(0.399873\pi\) | |||||||
\(594\) | 28.1908 | − | 10.2606i | 1.15668 | − | 0.420998i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −5.50000 | + | 9.52628i | −0.225100 | + | 0.389885i | ||||
\(598\) | −2.60472 | − | 14.7721i | −0.106515 | − | 0.604077i | ||||
\(599\) | −4.16756 | − | 23.6354i | −0.170282 | − | 0.965716i | −0.943450 | − | 0.331515i | \(-0.892440\pi\) |
0.773168 | − | 0.634201i | \(-0.218671\pi\) | |||||||
\(600\) | −2.50000 | + | 4.33013i | −0.102062 | + | 0.176777i | ||||
\(601\) | 14.0000 | + | 24.2487i | 0.571072 | + | 0.989126i | 0.996456 | + | 0.0841128i | \(0.0268056\pi\) |
−0.425384 | + | 0.905013i | \(0.639861\pi\) | |||||||
\(602\) | 6.12836 | − | 5.14230i | 0.249773 | − | 0.209585i | ||||
\(603\) | 9.39693 | − | 3.42020i | 0.382672 | − | 0.139281i | ||||
\(604\) | 9.39693 | + | 3.42020i | 0.382356 | + | 0.139166i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −3.12567 | + | 17.7265i | −0.126972 | + | 0.720091i | ||||
\(607\) | −22.0000 | −0.892952 | −0.446476 | − | 0.894795i | \(-0.647321\pi\) | ||||
−0.446476 | + | 0.894795i | \(0.647321\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −9.00000 | −0.364698 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 5.63816 | + | 2.05212i | 0.227909 | + | 0.0829521i | ||||
\(613\) | −1.87939 | + | 0.684040i | −0.0759077 | + | 0.0276281i | −0.379695 | − | 0.925112i | \(-0.623971\pi\) |
0.303787 | + | 0.952740i | \(0.401749\pi\) | |||||||
\(614\) | −15.3209 | + | 12.8558i | −0.618301 | + | 0.518816i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.00000 | − | 5.19615i | 0.120873 | − | 0.209359i | ||||
\(617\) | −1.04189 | − | 5.90885i | −0.0419449 | − | 0.237881i | 0.956626 | − | 0.291318i | \(-0.0940937\pi\) |
−0.998571 | + | 0.0534364i | \(0.982983\pi\) | |||||||
\(618\) | −2.43107 | − | 13.7873i | −0.0977922 | − | 0.554607i | ||||
\(619\) | 5.00000 | − | 8.66025i | 0.200967 | − | 0.348085i | −0.747873 | − | 0.663842i | \(-0.768925\pi\) |
0.948840 | + | 0.315757i | \(0.102258\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −11.4907 | + | 9.64181i | −0.461105 | + | 0.386913i | ||||
\(622\) | −19.7335 | + | 7.18242i | −0.791243 | + | 0.287989i | ||||
\(623\) | −11.2763 | − | 4.10424i | −0.451776 | − | 0.164433i | ||||
\(624\) | 3.83022 | + | 3.21394i | 0.153332 | + | 0.128660i | ||||
\(625\) | 4.34120 | − | 24.6202i | 0.173648 | − | 0.984808i | ||||
\(626\) | 19.0000 | 0.759393 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −22.0000 | −0.877896 | ||||||||
\(629\) | 1.04189 | − | 5.90885i | 0.0415428 | − | 0.235601i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 15.0351 | + | 5.47232i | 0.598537 | + | 0.217850i | 0.623480 | − | 0.781839i | \(-0.285718\pi\) |
−0.0249430 | + | 0.999689i | \(0.507940\pi\) | |||||||
\(632\) | −9.39693 | + | 3.42020i | −0.373790 | + | 0.136048i | ||||
\(633\) | 3.83022 | − | 3.21394i | 0.152238 | − | 0.127743i | ||||
\(634\) | −4.50000 | − | 7.79423i | −0.178718 | − | 0.309548i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −0.520945 | − | 2.95442i | −0.0206568 | − | 0.117151i | ||||
\(637\) | −5.20945 | − | 29.5442i | −0.206406 | − | 1.17059i | ||||
\(638\) | −27.0000 | + | 46.7654i | −1.06894 | + | 1.85146i | ||||
\(639\) | −6.00000 | − | 10.3923i | −0.237356 | − | 0.411113i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −5.63816 | + | 2.05212i | −0.222694 | + | 0.0810539i | −0.450957 | − | 0.892545i | \(-0.648917\pi\) |
0.228264 | + | 0.973599i | \(0.426695\pi\) | |||||||
\(642\) | −8.45723 | − | 3.07818i | −0.333780 | − | 0.121486i | ||||
\(643\) | −16.8530 | − | 14.1413i | −0.664617 | − | 0.557680i | 0.246850 | − | 0.969054i | \(-0.420605\pi\) |
−0.911467 | + | 0.411374i | \(0.865049\pi\) | |||||||
\(644\) | −0.520945 | + | 2.95442i | −0.0205281 | + | 0.116421i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 27.0000 | 1.06148 | 0.530740 | − | 0.847535i | \(-0.321914\pi\) | ||||
0.530740 | + | 0.847535i | \(0.321914\pi\) | |||||||
\(648\) | −0.173648 | + | 0.984808i | −0.00682154 | + | 0.0386869i | ||||
\(649\) | −41.3664 | − | 34.7105i | −1.62377 | − | 1.36251i | ||||
\(650\) | −23.4923 | − | 8.55050i | −0.921444 | − | 0.335378i | ||||
\(651\) | −3.75877 | + | 1.36808i | −0.147318 | + | 0.0536193i | ||||
\(652\) | 15.3209 | − | 12.8558i | 0.600012 | − | 0.503470i | ||||
\(653\) | −12.0000 | − | 20.7846i | −0.469596 | − | 0.813365i | 0.529799 | − | 0.848123i | \(-0.322267\pi\) |
−0.999396 | + | 0.0347583i | \(0.988934\pi\) | |||||||
\(654\) | 5.50000 | − | 9.52628i | 0.215067 | − | 0.372507i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −7.00000 | + | 12.1244i | −0.273096 | + | 0.473016i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −34.4720 | + | 28.9254i | −1.34284 | + | 1.12678i | −0.361951 | + | 0.932197i | \(0.617889\pi\) |
−0.980887 | + | 0.194578i | \(0.937666\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 12.2160 | + | 4.44626i | 0.475147 | + | 0.172940i | 0.568483 | − | 0.822695i | \(-0.307531\pi\) |
−0.0933352 | + | 0.995635i | \(0.529753\pi\) | |||||||
\(662\) | 0.766044 | + | 0.642788i | 0.0297732 | + | 0.0249826i | ||||
\(663\) | 2.60472 | − | 14.7721i | 0.101159 | − | 0.573701i | ||||
\(664\) | 6.00000 | 0.232845 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 4.00000 | 0.154997 | ||||||||
\(667\) | 4.68850 | − | 26.5898i | 0.181539 | − | 1.02956i | ||||
\(668\) | 9.19253 | + | 7.71345i | 0.355670 | + | 0.298442i | ||||
\(669\) | −24.4320 | − | 8.89252i | −0.944596 | − | 0.343805i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 45.9627 | − | 38.5673i | 1.77437 | − | 1.48887i | ||||
\(672\) | −0.500000 | − | 0.866025i | −0.0192879 | − | 0.0334077i | ||||
\(673\) | −22.0000 | + | 38.1051i | −0.848038 | + | 1.46884i | 0.0349191 | + | 0.999390i | \(0.488883\pi\) |
−0.882957 | + | 0.469454i | \(0.844451\pi\) | |||||||
\(674\) | 0.694593 | + | 3.93923i | 0.0267547 | + | 0.151734i | ||||
\(675\) | 4.34120 | + | 24.6202i | 0.167093 | + | 0.947632i | ||||
\(676\) | −6.00000 | + | 10.3923i | −0.230769 | + | 0.399704i | ||||
\(677\) | 16.5000 | + | 28.5788i | 0.634147 | + | 1.09837i | 0.986695 | + | 0.162581i | \(0.0519817\pi\) |
−0.352549 | + | 0.935793i | \(0.614685\pi\) | |||||||
\(678\) | −4.59627 | + | 3.85673i | −0.176519 | + | 0.148117i | ||||
\(679\) | −9.39693 | + | 3.42020i | −0.360621 | + | 0.131255i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −11.4907 | − | 9.64181i | −0.440323 | − | 0.369475i | ||||
\(682\) | −4.16756 | + | 23.6354i | −0.159584 | + | 0.905046i | ||||
\(683\) | 36.0000 | 1.37750 | 0.688751 | − | 0.724998i | \(-0.258159\pi\) | ||||
0.688751 | + | 0.724998i | \(0.258159\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −2.25743 | + | 12.8025i | −0.0861889 | + | 0.488802i | ||||
\(687\) | −16.8530 | − | 14.1413i | −0.642981 | − | 0.539525i | ||||
\(688\) | −7.51754 | − | 2.73616i | −0.286604 | − | 0.104315i | ||||
\(689\) | 14.0954 | − | 5.13030i | 0.536992 | − | 0.195449i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 5.00000 | + | 8.66025i | 0.190209 | + | 0.329452i | 0.945319 | − | 0.326146i | \(-0.105750\pi\) |
−0.755110 | + | 0.655598i | \(0.772417\pi\) | |||||||
\(692\) | −3.00000 | + | 5.19615i | −0.114043 | + | 0.197528i | ||||
\(693\) | −2.08378 | − | 11.8177i | −0.0791562 | − | 0.448917i | ||||
\(694\) | −3.12567 | − | 17.7265i | −0.118649 | − | 0.672890i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 4.50000 | + | 7.79423i | 0.170572 | + | 0.295439i | ||||
\(697\) | 0 | 0 | ||||||||
\(698\) | −9.39693 | + | 3.42020i | −0.355679 | + | 0.129457i | ||||
\(699\) | 5.63816 | + | 2.05212i | 0.213255 | + | 0.0776183i | ||||
\(700\) | 3.83022 | + | 3.21394i | 0.144769 | + | 0.121475i | ||||
\(701\) | 2.08378 | − | 11.8177i | 0.0787032 | − | 0.446348i | −0.919835 | − | 0.392305i | \(-0.871678\pi\) |
0.998539 | − | 0.0540435i | \(-0.0172110\pi\) | |||||||
\(702\) | 25.0000 | 0.943564 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −6.00000 | −0.226134 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 11.4907 | + | 9.64181i | 0.432457 | + | 0.362874i | ||||
\(707\) | 16.9145 | + | 6.15636i | 0.636134 | + | 0.231534i | ||||
\(708\) | −8.45723 | + | 3.07818i | −0.317842 | + | 0.115685i | ||||
\(709\) | −7.66044 | + | 6.42788i | −0.287694 | + | 0.241404i | −0.775200 | − | 0.631716i | \(-0.782351\pi\) |
0.487506 | + | 0.873119i | \(0.337907\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −10.0000 | + | 17.3205i | −0.375029 | + | 0.649570i | ||||
\(712\) | 2.08378 | + | 11.8177i | 0.0780929 | + | 0.442887i | ||||
\(713\) | −2.08378 | − | 11.8177i | −0.0780381 | − | 0.442576i | ||||
\(714\) | −1.50000 | + | 2.59808i | −0.0561361 | + | 0.0972306i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 19.7335 | − | 7.18242i | 0.736963 | − | 0.268233i | ||||
\(718\) | 19.7335 | + | 7.18242i | 0.736449 | + | 0.268046i | ||||
\(719\) | 29.8757 | + | 25.0687i | 1.11418 | + | 0.934905i | 0.998296 | − | 0.0583577i | \(-0.0185864\pi\) |
0.115881 | + | 0.993263i | \(0.463031\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −14.0000 | −0.521387 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 8.00000 | 0.297523 | ||||||||
\(724\) | 0.347296 | − | 1.96962i | 0.0129072 | − | 0.0732002i | ||||
\(725\) | −34.4720 | − | 28.9254i | −1.28026 | − | 1.07426i | ||||
\(726\) | 23.4923 | + | 8.55050i | 0.871882 | + | 0.317339i | ||||
\(727\) | 34.7686 | − | 12.6547i | 1.28950 | − | 0.469339i | 0.395935 | − | 0.918279i | \(-0.370421\pi\) |
0.893562 | + | 0.448940i | \(0.148198\pi\) | |||||||
\(728\) | 3.83022 | − | 3.21394i | 0.141957 | − | 0.119116i | ||||
\(729\) | −6.50000 | − | 11.2583i | −0.240741 | − | 0.416975i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 4.16756 | + | 23.6354i | 0.154143 | + | 0.874186i | ||||
\(732\) | −1.73648 | − | 9.84808i | −0.0641822 | − | 0.363995i | ||||
\(733\) | −16.0000 | + | 27.7128i | −0.590973 | + | 1.02360i | 0.403128 | + | 0.915144i | \(0.367923\pi\) |
−0.994102 | + | 0.108453i | \(0.965410\pi\) | |||||||
\(734\) | −14.0000 | − | 24.2487i | −0.516749 | − | 0.895036i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 2.81908 | − | 1.02606i | 0.103913 | − | 0.0378211i | ||||
\(737\) | 28.1908 | + | 10.2606i | 1.03842 | + | 0.377954i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2.77837 | + | 15.7569i | −0.102204 | + | 0.579628i | 0.890096 | + | 0.455773i | \(0.150637\pi\) |
−0.992300 | + | 0.123855i | \(0.960474\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −3.00000 | −0.110133 | ||||||||
\(743\) | −6.25133 | + | 35.4531i | −0.229339 | + | 1.30065i | 0.624874 | + | 0.780725i | \(0.285150\pi\) |
−0.854214 | + | 0.519922i | \(0.825961\pi\) | |||||||
\(744\) | 3.06418 | + | 2.57115i | 0.112338 | + | 0.0942629i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 21.6129 | − | 7.86646i | 0.791306 | − | 0.288012i | ||||
\(747\) | 9.19253 | − | 7.71345i | 0.336337 | − | 0.282220i | ||||
\(748\) | 9.00000 | + | 15.5885i | 0.329073 | + | 0.569970i | ||||
\(749\) | −4.50000 | + | 7.79423i | −0.164426 | + | 0.284795i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −6.94593 | − | 39.3923i | −0.253460 | − | 1.43745i | −0.799994 | − | 0.600008i | \(-0.795164\pi\) |
0.546533 | − | 0.837437i | \(-0.315947\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −3.00000 | − | 5.19615i | −0.109326 | − | 0.189358i | ||||
\(754\) | −34.4720 | + | 28.9254i | −1.25540 | + | 1.05340i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −4.69846 | − | 1.71010i | −0.170881 | − | 0.0621958i | ||||
\(757\) | 1.53209 | + | 1.28558i | 0.0556847 | + | 0.0467250i | 0.670205 | − | 0.742176i | \(-0.266206\pi\) |
−0.614521 | + | 0.788901i | \(0.710651\pi\) | |||||||
\(758\) | 1.21554 | − | 6.89365i | 0.0441503 | − | 0.250389i | ||||
\(759\) | −18.0000 | −0.653359 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −21.0000 | −0.761249 | −0.380625 | − | 0.924730i | \(-0.624291\pi\) | ||||
−0.380625 | + | 0.924730i | \(0.624291\pi\) | |||||||
\(762\) | −0.347296 | + | 1.96962i | −0.0125812 | + | 0.0713516i | ||||
\(763\) | −8.42649 | − | 7.07066i | −0.305059 | − | 0.255975i | ||||
\(764\) | −2.81908 | − | 1.02606i | −0.101991 | − | 0.0371216i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −13.7888 | + | 11.5702i | −0.498210 | + | 0.418047i | ||||
\(767\) | −22.5000 | − | 38.9711i | −0.812428 | − | 1.40717i | ||||
\(768\) | −0.500000 | + | 0.866025i | −0.0180422 | + | 0.0312500i | ||||
\(769\) | 0.868241 | + | 4.92404i | 0.0313096 | + | 0.177565i | 0.996452 | − | 0.0841584i | \(-0.0268202\pi\) |
−0.965143 | + | 0.261724i | \(0.915709\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −6.00000 | + | 10.3923i | −0.216085 | + | 0.374270i | ||||
\(772\) | −7.00000 | − | 12.1244i | −0.251936 | − | 0.436365i | ||||
\(773\) | 39.0683 | − | 32.7822i | 1.40519 | − | 1.17909i | 0.446447 | − | 0.894810i | \(-0.352689\pi\) |
0.958740 | − | 0.284283i | \(-0.0917554\pi\) | |||||||
\(774\) | −15.0351 | + | 5.47232i | −0.540425 | + | 0.196699i | ||||
\(775\) | −18.7939 | − | 6.84040i | −0.675095 | − | 0.245715i | ||||
\(776\) | 7.66044 | + | 6.42788i | 0.274994 | + | 0.230747i | ||||
\(777\) | −0.347296 | + | 1.96962i | −0.0124592 | + |