Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(289,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.h (of order \(3\), 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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.309123.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{6} - 3x^{5} + 10x^{4} - 15x^{3} + 19x^{2} - 12x + 3 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 289.2 | ||
Root | \(0.500000 + 2.05195i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 378.289 |
Dual form | 378.2.h.c.361.2 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | − | 0.866025i | −0.353553 | − | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −0.593579 | −0.265457 | −0.132728 | − | 0.991152i | \(-0.542374\pi\) | ||||
−0.132728 | + | 0.991152i | \(0.542374\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.0665372 | − | 2.64491i | −0.0251487 | − | 0.999684i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.296790 | + | 0.514055i | 0.0938531 | + | 0.162558i | ||||
\(11\) | 0.593579 | 0.178971 | 0.0894855 | − | 0.995988i | \(-0.471478\pi\) | ||||
0.0894855 | + | 0.995988i | \(0.471478\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.25729 | − | 2.17770i | −0.348711 | − | 0.603985i | 0.637310 | − | 0.770608i | \(-0.280047\pi\) |
−0.986021 | + | 0.166623i | \(0.946714\pi\) | |||||||
\(14\) | −2.25729 | + | 1.38008i | −0.603287 | + | 0.368842i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −1.46050 | − | 2.52967i | −0.354224 | − | 0.613535i | 0.632760 | − | 0.774348i | \(-0.281922\pi\) |
−0.986985 | + | 0.160813i | \(0.948588\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.69076 | − | 4.66053i | 0.617302 | − | 1.06920i | −0.372674 | − | 0.927962i | \(-0.621559\pi\) |
0.989976 | − | 0.141236i | \(-0.0451077\pi\) | |||||||
\(20\) | 0.296790 | − | 0.514055i | 0.0663642 | − | 0.114946i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.296790 | − | 0.514055i | −0.0632758 | − | 0.109597i | ||||
\(23\) | −4.46050 | −0.930080 | −0.465040 | − | 0.885290i | \(-0.653960\pi\) | ||||
−0.465040 | + | 0.885290i | \(0.653960\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.64766 | −0.929533 | ||||||||
\(26\) | −1.25729 | + | 2.17770i | −0.246576 | + | 0.427082i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.32383 | + | 1.26483i | 0.439163 | + | 0.239031i | ||||
\(29\) | 3.09718 | − | 5.36447i | 0.575132 | − | 0.996157i | −0.420896 | − | 0.907109i | \(-0.638284\pi\) |
0.996027 | − | 0.0890480i | \(-0.0283825\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.93346 | − | 6.81296i | 0.706471 | − | 1.22364i | −0.259687 | − | 0.965693i | \(-0.583620\pi\) |
0.966158 | − | 0.257951i | \(-0.0830472\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.46050 | + | 2.52967i | −0.250475 | + | 0.433835i | ||||
\(35\) | 0.0394951 | + | 1.56997i | 0.00667590 | + | 0.265373i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.500000 | − | 0.866025i | 0.0821995 | − | 0.142374i | −0.821995 | − | 0.569495i | \(-0.807139\pi\) |
0.904194 | + | 0.427121i | \(0.140472\pi\) | |||||||
\(38\) | −5.38151 | −0.872997 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.593579 | −0.0938531 | ||||||||
\(41\) | 0.136673 | + | 0.236725i | 0.0213448 | + | 0.0369702i | 0.876500 | − | 0.481401i | \(-0.159872\pi\) |
−0.855156 | + | 0.518371i | \(0.826539\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.58113 | + | 9.66679i | −0.851114 | + | 1.47417i | 0.0290902 | + | 0.999577i | \(0.490739\pi\) |
−0.880204 | + | 0.474596i | \(0.842594\pi\) | |||||||
\(44\) | −0.296790 | + | 0.514055i | −0.0447427 | + | 0.0774967i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.23025 | + | 3.86291i | 0.328833 | + | 0.569555i | ||||
\(47\) | 6.08113 | + | 10.5328i | 0.887023 | + | 1.53637i | 0.843377 | + | 0.537323i | \(0.180564\pi\) |
0.0436467 | + | 0.999047i | \(0.486102\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.99115 | + | 0.351971i | −0.998735 | + | 0.0502815i | ||||
\(50\) | 2.32383 | + | 4.02499i | 0.328639 | + | 0.569220i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.51459 | 0.348711 | ||||||||
\(53\) | −4.02704 | − | 6.97504i | −0.553157 | − | 0.958096i | −0.998044 | − | 0.0625092i | \(-0.980090\pi\) |
0.444888 | − | 0.895586i | \(-0.353244\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.352336 | −0.0475090 | ||||||||
\(56\) | −0.0665372 | − | 2.64491i | −0.00889141 | − | 0.353442i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −6.19436 | −0.813359 | ||||||||
\(59\) | 4.32383 | − | 7.48910i | 0.562915 | − | 0.974997i | −0.434325 | − | 0.900756i | \(-0.643013\pi\) |
0.997240 | − | 0.0742412i | \(-0.0236535\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.32383 | + | 5.75705i | 0.425573 | + | 0.737114i | 0.996474 | − | 0.0839050i | \(-0.0267392\pi\) |
−0.570901 | + | 0.821019i | \(0.693406\pi\) | |||||||
\(62\) | −7.86693 | −0.999101 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0.746304 | + | 1.29264i | 0.0925676 | + | 0.160332i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.956906 | − | 1.65741i | 0.116905 | − | 0.202485i | −0.801635 | − | 0.597814i | \(-0.796036\pi\) |
0.918540 | + | 0.395329i | \(0.129369\pi\) | |||||||
\(68\) | 2.92101 | 0.354224 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.33988 | − | 0.819187i | 0.160147 | − | 0.0979116i | ||||
\(71\) | 14.4107 | 1.71023 | 0.855117 | − | 0.518435i | \(-0.173485\pi\) | ||||
0.855117 | + | 0.518435i | \(0.173485\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.95691 | + | 6.85356i | 0.463121 | + | 0.802149i | 0.999115 | − | 0.0420732i | \(-0.0133963\pi\) |
−0.535994 | + | 0.844222i | \(0.680063\pi\) | |||||||
\(74\) | −1.00000 | −0.116248 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.69076 | + | 4.66053i | 0.308651 | + | 0.534599i | ||||
\(77\) | −0.0394951 | − | 1.56997i | −0.00450089 | − | 0.178914i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.62422 | + | 8.00938i | 0.520265 | + | 0.901126i | 0.999722 | + | 0.0235607i | \(0.00750031\pi\) |
−0.479457 | + | 0.877565i | \(0.659166\pi\) | |||||||
\(80\) | 0.296790 | + | 0.514055i | 0.0331821 | + | 0.0574731i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.136673 | − | 0.236725i | 0.0150930 | − | 0.0261419i | ||||
\(83\) | −3.85087 | + | 6.66991i | −0.422688 | + | 0.732118i | −0.996201 | − | 0.0870787i | \(-0.972247\pi\) |
0.573513 | + | 0.819196i | \(0.305580\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.866926 | + | 1.50156i | 0.0940313 | + | 0.162867i | ||||
\(86\) | 11.1623 | 1.20366 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.593579 | 0.0632758 | ||||||||
\(89\) | 6.21780 | − | 10.7695i | 0.659085 | − | 1.14157i | −0.321767 | − | 0.946819i | \(-0.604277\pi\) |
0.980853 | − | 0.194751i | \(-0.0623898\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.67617 | + | 3.47033i | −0.595024 | + | 0.363790i | ||||
\(92\) | 2.23025 | − | 3.86291i | 0.232520 | − | 0.402736i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 6.08113 | − | 10.5328i | 0.627220 | − | 1.08638i | ||||
\(95\) | −1.59718 | + | 2.76639i | −0.163867 | + | 0.283826i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.86693 | − | 10.1618i | 0.595696 | − | 1.03178i | −0.397752 | − | 0.917493i | \(-0.630210\pi\) |
0.993448 | − | 0.114283i | \(-0.0364570\pi\) | |||||||
\(98\) | 3.80039 | + | 5.87852i | 0.383897 | + | 0.593821i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.32383 | − | 4.02499i | 0.232383 | − | 0.402499i | ||||
\(101\) | 1.62276 | 0.161470 | 0.0807352 | − | 0.996736i | \(-0.474273\pi\) | ||||
0.0807352 | + | 0.996736i | \(0.474273\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.38151 | 0.628789 | 0.314395 | − | 0.949292i | \(-0.398198\pi\) | ||||
0.314395 | + | 0.949292i | \(0.398198\pi\) | |||||||
\(104\) | −1.25729 | − | 2.17770i | −0.123288 | − | 0.213541i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −4.02704 | + | 6.97504i | −0.391141 | + | 0.677476i | ||||
\(107\) | −9.35447 | + | 16.2024i | −0.904331 | + | 1.56635i | −0.0825182 | + | 0.996590i | \(0.526296\pi\) |
−0.821813 | + | 0.569758i | \(0.807037\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.43346 | − | 2.48283i | −0.137301 | − | 0.237812i | 0.789173 | − | 0.614171i | \(-0.210509\pi\) |
−0.926474 | + | 0.376359i | \(0.877176\pi\) | |||||||
\(110\) | 0.176168 | + | 0.305132i | 0.0167970 | + | 0.0290932i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.25729 | + | 1.38008i | −0.213294 | + | 0.130405i | ||||
\(113\) | 6.16012 | + | 10.6696i | 0.579495 | + | 1.00371i | 0.995537 | + | 0.0943695i | \(0.0300835\pi\) |
−0.416042 | + | 0.909345i | \(0.636583\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.64766 | 0.246896 | ||||||||
\(116\) | 3.09718 | + | 5.36447i | 0.287566 | + | 0.498078i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −8.64766 | −0.796082 | ||||||||
\(119\) | −6.59358 | + | 4.03123i | −0.604432 | + | 0.369542i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.6477 | −0.967969 | ||||||||
\(122\) | 3.32383 | − | 5.75705i | 0.300926 | − | 0.521218i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.93346 | + | 6.81296i | 0.353235 | + | 0.611822i | ||||
\(125\) | 5.72665 | 0.512207 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 12.3346 | 1.09452 | 0.547261 | − | 0.836962i | \(-0.315671\pi\) | ||||
0.547261 | + | 0.836962i | \(0.315671\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.746304 | − | 1.29264i | 0.0654552 | − | 0.113372i | ||||
\(131\) | 1.18716 | 0.103723 | 0.0518613 | − | 0.998654i | \(-0.483485\pi\) | ||||
0.0518613 | + | 0.998654i | \(0.483485\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −12.5057 | − | 6.80672i | −1.08438 | − | 0.590218i | ||||
\(134\) | −1.91381 | −0.165328 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.46050 | − | 2.52967i | −0.125237 | − | 0.216917i | ||||
\(137\) | −2.52179 | −0.215451 | −0.107725 | − | 0.994181i | \(-0.534357\pi\) | ||||
−0.107725 | + | 0.994181i | \(0.534357\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.45691 | + | 4.25549i | 0.208392 | + | 0.360946i | 0.951208 | − | 0.308550i | \(-0.0998437\pi\) |
−0.742816 | + | 0.669496i | \(0.766510\pi\) | |||||||
\(140\) | −1.37938 | − | 0.750780i | −0.116579 | − | 0.0634525i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −7.20535 | − | 12.4800i | −0.604659 | − | 1.04730i | ||||
\(143\) | −0.746304 | − | 1.29264i | −0.0624091 | − | 0.108096i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1.83842 | + | 3.18424i | −0.152673 | + | 0.264437i | ||||
\(146\) | 3.95691 | − | 6.85356i | 0.327476 | − | 0.567205i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.500000 | + | 0.866025i | 0.0410997 | + | 0.0711868i | ||||
\(149\) | −18.0512 | −1.47881 | −0.739404 | − | 0.673262i | \(-0.764893\pi\) | ||||
−0.739404 | + | 0.673262i | \(0.764893\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.64766 | 0.134085 | 0.0670425 | − | 0.997750i | \(-0.478644\pi\) | ||||
0.0670425 | + | 0.997750i | \(0.478644\pi\) | |||||||
\(152\) | 2.69076 | − | 4.66053i | 0.218249 | − | 0.378019i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.33988 | + | 0.819187i | −0.107971 | + | 0.0660120i | ||||
\(155\) | −2.33482 | + | 4.04403i | −0.187537 | + | 0.324824i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.30039 | − | 5.71644i | 0.263400 | − | 0.456222i | −0.703743 | − | 0.710454i | \(-0.748490\pi\) |
0.967143 | + | 0.254233i | \(0.0818229\pi\) | |||||||
\(158\) | 4.62422 | − | 8.00938i | 0.367883 | − | 0.637192i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.296790 | − | 0.514055i | 0.0234633 | − | 0.0406396i | ||||
\(161\) | 0.296790 | + | 11.7977i | 0.0233903 | + | 0.929785i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −2.99115 | + | 5.18082i | −0.234285 | + | 0.405793i | −0.959065 | − | 0.283188i | \(-0.908608\pi\) |
0.724780 | + | 0.688980i | \(0.241941\pi\) | |||||||
\(164\) | −0.273346 | −0.0213448 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 7.70175 | 0.597772 | ||||||||
\(167\) | −3.73025 | − | 6.46099i | −0.288656 | − | 0.499966i | 0.684833 | − | 0.728700i | \(-0.259875\pi\) |
−0.973489 | + | 0.228733i | \(0.926542\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 3.33842 | − | 5.78231i | 0.256802 | − | 0.444793i | ||||
\(170\) | 0.866926 | − | 1.50156i | 0.0664902 | − | 0.115164i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −5.58113 | − | 9.66679i | −0.425557 | − | 0.737086i | ||||
\(173\) | −12.8296 | − | 22.2215i | −0.975414 | − | 1.68947i | −0.678562 | − | 0.734543i | \(-0.737397\pi\) |
−0.296851 | − | 0.954924i | \(-0.595937\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.309243 | + | 12.2927i | 0.0233766 | + | 0.929239i | ||||
\(176\) | −0.296790 | − | 0.514055i | −0.0223714 | − | 0.0387483i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −12.4356 | −0.932088 | ||||||||
\(179\) | −7.51819 | − | 13.0219i | −0.561936 | − | 0.973301i | −0.997328 | − | 0.0730602i | \(-0.976723\pi\) |
0.435392 | − | 0.900241i | \(-0.356610\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.0861875 | −0.00640627 | −0.00320313 | − | 0.999995i | \(-0.501020\pi\) | ||||
−0.00320313 | + | 0.999995i | \(0.501020\pi\) | |||||||
\(182\) | 5.84348 | + | 3.18054i | 0.433148 | + | 0.235757i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −4.46050 | −0.328833 | ||||||||
\(185\) | −0.296790 | + | 0.514055i | −0.0218204 | + | 0.0377941i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.866926 | − | 1.50156i | −0.0633959 | − | 0.109805i | ||||
\(188\) | −12.1623 | −0.887023 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.19436 | 0.231743 | ||||||||
\(191\) | 1.99115 | + | 3.44877i | 0.144074 | + | 0.249544i | 0.929027 | − | 0.370011i | \(-0.120646\pi\) |
−0.784953 | + | 0.619555i | \(0.787313\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.39037 | + | 5.87229i | −0.244044 | + | 0.422697i | −0.961862 | − | 0.273534i | \(-0.911808\pi\) |
0.717818 | + | 0.696230i | \(0.245141\pi\) | |||||||
\(194\) | −11.7339 | −0.842441 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.19076 | − | 6.23049i | 0.227911 | − | 0.445035i | ||||
\(197\) | −11.0584 | −0.787875 | −0.393938 | − | 0.919137i | \(-0.628887\pi\) | ||||
−0.393938 | + | 0.919137i | \(0.628887\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.80924 | + | 4.86575i | 0.199142 | + | 0.344924i | 0.948250 | − | 0.317523i | \(-0.102851\pi\) |
−0.749109 | + | 0.662447i | \(0.769518\pi\) | |||||||
\(200\) | −4.64766 | −0.328639 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.811379 | − | 1.40535i | −0.0570884 | − | 0.0988800i | ||||
\(203\) | −14.3946 | − | 7.83483i | −1.01031 | − | 0.549898i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.0811263 | − | 0.140515i | −0.00566611 | − | 0.00981399i | ||||
\(206\) | −3.19076 | − | 5.52655i | −0.222311 | − | 0.385053i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.25729 | + | 2.17770i | −0.0871777 | + | 0.150996i | ||||
\(209\) | 1.59718 | − | 2.76639i | 0.110479 | − | 0.191355i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.66225 | + | 16.7355i | 0.665177 | + | 1.15212i | 0.979237 | + | 0.202717i | \(0.0649772\pi\) |
−0.314060 | + | 0.949403i | \(0.601689\pi\) | |||||||
\(212\) | 8.05408 | 0.553157 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 18.7089 | 1.27892 | ||||||||
\(215\) | 3.31284 | − | 5.73801i | 0.225934 | − | 0.391329i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −18.2814 | − | 9.95036i | −1.24102 | − | 0.675474i | ||||
\(218\) | −1.43346 | + | 2.48283i | −0.0970863 | + | 0.168158i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.176168 | − | 0.305132i | 0.0118773 | − | 0.0205720i | ||||
\(221\) | −3.67257 | + | 6.36108i | −0.247044 | + | 0.427892i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 12.6623 | − | 21.9317i | 0.847927 | − | 1.46865i | −0.0351275 | − | 0.999383i | \(-0.511184\pi\) |
0.883055 | − | 0.469270i | \(-0.155483\pi\) | |||||||
\(224\) | 2.32383 | + | 1.26483i | 0.155268 | + | 0.0845103i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 6.16012 | − | 10.6696i | 0.409765 | − | 0.709734i | ||||
\(227\) | −4.81711 | −0.319723 | −0.159862 | − | 0.987139i | \(-0.551105\pi\) | ||||
−0.159862 | + | 0.987139i | \(0.551105\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −9.29533 | −0.614253 | −0.307126 | − | 0.951669i | \(-0.599367\pi\) | ||||
−0.307126 | + | 0.951669i | \(0.599367\pi\) | |||||||
\(230\) | −1.32383 | − | 2.29294i | −0.0872909 | − | 0.151192i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.09718 | − | 5.36447i | 0.203340 | − | 0.352195i | ||||
\(233\) | −0.0971780 | + | 0.168317i | −0.00636634 | + | 0.0110268i | −0.869191 | − | 0.494476i | \(-0.835360\pi\) |
0.862825 | + | 0.505503i | \(0.168693\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −3.60963 | − | 6.25206i | −0.235466 | − | 0.407840i | ||||
\(236\) | 4.32383 | + | 7.48910i | 0.281457 | + | 0.487499i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 6.78794 | + | 3.69459i | 0.439996 | + | 0.239485i | ||||
\(239\) | 6.82743 | + | 11.8255i | 0.441630 | + | 0.764925i | 0.997811 | − | 0.0661361i | \(-0.0210672\pi\) |
−0.556181 | + | 0.831061i | \(0.687734\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −13.0000 | −0.837404 | −0.418702 | − | 0.908124i | \(-0.637515\pi\) | ||||
−0.418702 | + | 0.908124i | \(0.637515\pi\) | |||||||
\(242\) | 5.32383 | + | 9.22115i | 0.342229 | + | 0.592758i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −6.64766 | −0.425573 | ||||||||
\(245\) | 4.14980 | − | 0.208922i | 0.265121 | − | 0.0133476i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −13.5323 | −0.861039 | ||||||||
\(248\) | 3.93346 | − | 6.81296i | 0.249775 | − | 0.432623i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −2.86333 | − | 4.95943i | −0.181093 | − | 0.313662i | ||||
\(251\) | 19.5438 | 1.23359 | 0.616796 | − | 0.787123i | \(-0.288430\pi\) | ||||
0.616796 | + | 0.787123i | \(0.288430\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.64766 | −0.166457 | ||||||||
\(254\) | −6.16731 | − | 10.6821i | −0.386972 | − | 0.670255i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −8.32743 | −0.519451 | −0.259725 | − | 0.965683i | \(-0.583632\pi\) | ||||
−0.259725 | + | 0.965683i | \(0.583632\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.32383 | − | 1.26483i | −0.144396 | − | 0.0785930i | ||||
\(260\) | −1.49261 | −0.0925676 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.593579 | − | 1.02811i | −0.0366715 | − | 0.0635168i | ||||
\(263\) | 17.0905 | 1.05384 | 0.526921 | − | 0.849914i | \(-0.323346\pi\) | ||||
0.526921 | + | 0.849914i | \(0.323346\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.39037 | + | 4.14024i | 0.146839 | + | 0.254333i | ||||
\(266\) | 0.358071 | + | 14.2336i | 0.0219547 | + | 0.872721i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.956906 | + | 1.65741i | 0.0584524 | + | 0.101242i | ||||
\(269\) | 5.00720 | + | 8.67272i | 0.305294 | + | 0.528785i | 0.977327 | − | 0.211737i | \(-0.0679119\pi\) |
−0.672033 | + | 0.740522i | \(0.734579\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.10457 | − | 8.84137i | 0.310081 | − | 0.537075i | −0.668299 | − | 0.743893i | \(-0.732977\pi\) |
0.978380 | + | 0.206818i | \(0.0663106\pi\) | |||||||
\(272\) | −1.46050 | + | 2.52967i | −0.0885561 | + | 0.153384i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.26089 | + | 2.18393i | 0.0761733 | + | 0.131936i | ||||
\(275\) | −2.75876 | −0.166359 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 19.3422 | 1.16216 | 0.581081 | − | 0.813846i | \(-0.302630\pi\) | ||||
0.581081 | + | 0.813846i | \(0.302630\pi\) | |||||||
\(278\) | 2.45691 | − | 4.25549i | 0.147355 | − | 0.255227i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.0394951 | + | 1.56997i | 0.00236029 | + | 0.0938235i | ||||
\(281\) | 6.40136 | − | 11.0875i | 0.381873 | − | 0.661424i | −0.609457 | − | 0.792819i | \(-0.708612\pi\) |
0.991330 | + | 0.131396i | \(0.0419458\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 8.17617 | − | 14.1615i | 0.486023 | − | 0.841816i | −0.513848 | − | 0.857881i | \(-0.671781\pi\) |
0.999871 | + | 0.0160650i | \(0.00511388\pi\) | |||||||
\(284\) | −7.20535 | + | 12.4800i | −0.427559 | + | 0.740553i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.746304 | + | 1.29264i | −0.0441299 | + | 0.0764352i | ||||
\(287\) | 0.617023 | − | 0.377240i | 0.0364217 | − | 0.0222678i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.23385 | − | 7.33325i | 0.249050 | − | 0.431367i | ||||
\(290\) | 3.67684 | 0.215912 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −7.91381 | −0.463121 | ||||||||
\(293\) | 10.3889 | + | 17.9941i | 0.606926 | + | 1.05123i | 0.991744 | + | 0.128235i | \(0.0409311\pi\) |
−0.384817 | + | 0.922993i | \(0.625736\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.56654 | + | 4.44537i | −0.149430 | + | 0.258820i | ||||
\(296\) | 0.500000 | − | 0.866025i | 0.0290619 | − | 0.0503367i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 9.02558 | + | 15.6328i | 0.522838 | + | 0.905582i | ||||
\(299\) | 5.60817 | + | 9.71363i | 0.324329 | + | 0.561754i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 25.9392 | + | 14.1184i | 1.49511 | + | 0.813771i | ||||
\(302\) | −0.823832 | − | 1.42692i | −0.0474062 | − | 0.0821099i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −5.38151 | −0.308651 | ||||||||
\(305\) | −1.97296 | − | 3.41726i | −0.112971 | − | 0.195672i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −22.6768 | −1.29424 | −0.647118 | − | 0.762390i | \(-0.724026\pi\) | ||||
−0.647118 | + | 0.762390i | \(0.724026\pi\) | |||||||
\(308\) | 1.37938 | + | 0.750780i | 0.0785974 | + | 0.0427796i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 4.66964 | 0.265218 | ||||||||
\(311\) | −3.25729 | + | 5.64180i | −0.184704 | + | 0.319917i | −0.943477 | − | 0.331439i | \(-0.892466\pi\) |
0.758773 | + | 0.651356i | \(0.225799\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.133074 | − | 0.230492i | −0.00752181 | − | 0.0130282i | 0.862240 | − | 0.506500i | \(-0.169061\pi\) |
−0.869762 | + | 0.493472i | \(0.835728\pi\) | |||||||
\(314\) | −6.60078 | −0.372503 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −9.24844 | −0.520265 | ||||||||
\(317\) | 7.86186 | + | 13.6171i | 0.441566 | + | 0.764815i | 0.997806 | − | 0.0662067i | \(-0.0210897\pi\) |
−0.556240 | + | 0.831022i | \(0.687756\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.83842 | − | 3.18424i | 0.102932 | − | 0.178283i | ||||
\(320\) | −0.593579 | −0.0331821 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 10.0687 | − | 6.15585i | 0.561105 | − | 0.343052i | ||||
\(323\) | −15.7195 | −0.874654 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 5.84348 | + | 10.1212i | 0.324138 | + | 0.561424i | ||||
\(326\) | 5.98229 | 0.331328 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.136673 | + | 0.236725i | 0.00754651 | + | 0.0130709i | ||||
\(329\) | 27.4538 | − | 16.7849i | 1.51358 | − | 0.925381i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 12.5811 | + | 21.7912i | 0.691521 | + | 1.19775i | 0.971339 | + | 0.237697i | \(0.0763925\pi\) |
−0.279818 | + | 0.960053i | \(0.590274\pi\) | |||||||
\(332\) | −3.85087 | − | 6.66991i | −0.211344 | − | 0.366059i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −3.73025 | + | 6.46099i | −0.204110 | + | 0.353529i | ||||
\(335\) | −0.568000 | + | 0.983804i | −0.0310331 | + | 0.0537510i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −9.36693 | − | 16.2240i | −0.510249 | − | 0.883777i | −0.999929 | − | 0.0118752i | \(-0.996220\pi\) |
0.489681 | − | 0.871902i | \(-0.337113\pi\) | |||||||
\(338\) | −6.67684 | −0.363172 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.73385 | −0.0940313 | ||||||||
\(341\) | 2.33482 | − | 4.04403i | 0.126438 | − | 0.218997i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 1.39610 | + | 18.4676i | 0.0753825 | + | 0.997155i | ||||
\(344\) | −5.58113 | + | 9.66679i | −0.300914 | + | 0.521199i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −12.8296 | + | 22.2215i | −0.689722 | + | 1.19463i | ||||
\(347\) | 11.2719 | − | 19.5235i | 0.605106 | − | 1.04808i | −0.386928 | − | 0.922110i | \(-0.626464\pi\) |
0.992035 | − | 0.125965i | \(-0.0402028\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.89543 | − | 3.28298i | 0.101460 | − | 0.175734i | −0.810826 | − | 0.585287i | \(-0.800982\pi\) |
0.912286 | + | 0.409553i | \(0.134315\pi\) | |||||||
\(350\) | 10.4911 | − | 6.41415i | 0.560775 | − | 0.342851i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.296790 | + | 0.514055i | −0.0158189 | + | 0.0273992i | ||||
\(353\) | −6.83482 | −0.363781 | −0.181890 | − | 0.983319i | \(-0.558222\pi\) | ||||
−0.181890 | + | 0.983319i | \(0.558222\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −8.55389 | −0.453993 | ||||||||
\(356\) | 6.21780 | + | 10.7695i | 0.329543 | + | 0.570785i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −7.51819 | + | 13.0219i | −0.397349 | + | 0.688228i | ||||
\(359\) | 6.32237 | − | 10.9507i | 0.333682 | − | 0.577954i | −0.649549 | − | 0.760320i | \(-0.725042\pi\) |
0.983231 | + | 0.182366i | \(0.0583755\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −4.98035 | − | 8.62622i | −0.262124 | − | 0.454012i | ||||
\(362\) | 0.0430937 | + | 0.0746406i | 0.00226496 | + | 0.00392302i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.167314 | − | 6.65087i | −0.00876963 | − | 0.348600i | ||||
\(365\) | −2.34874 | − | 4.06813i | −0.122939 | − | 0.212936i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.54377 | 0.341582 | 0.170791 | − | 0.985307i | \(-0.445368\pi\) | ||||
0.170791 | + | 0.985307i | \(0.445368\pi\) | |||||||
\(368\) | 2.23025 | + | 3.86291i | 0.116260 | + | 0.201368i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.593579 | 0.0308587 | ||||||||
\(371\) | −18.1804 | + | 11.1153i | −0.943881 | + | 0.577077i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 9.42840 | 0.488184 | 0.244092 | − | 0.969752i | \(-0.421510\pi\) | ||||
0.244092 | + | 0.969752i | \(0.421510\pi\) | |||||||
\(374\) | −0.866926 | + | 1.50156i | −0.0448277 | + | 0.0776438i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 6.08113 | + | 10.5328i | 0.313610 | + | 0.543189i | ||||
\(377\) | −15.5763 | −0.802218 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −7.27762 | −0.373826 | −0.186913 | − | 0.982376i | \(-0.559848\pi\) | ||||
−0.186913 | + | 0.982376i | \(0.559848\pi\) | |||||||
\(380\) | −1.59718 | − | 2.76639i | −0.0819335 | − | 0.141913i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 1.99115 | − | 3.44877i | 0.101876 | − | 0.176454i | ||||
\(383\) | 24.0833 | 1.23060 | 0.615299 | − | 0.788294i | \(-0.289035\pi\) | ||||
0.615299 | + | 0.788294i | \(0.289035\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.0234435 | + | 0.931900i | 0.00119479 | + | 0.0474940i | ||||
\(386\) | 6.78074 | 0.345130 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 5.86693 | + | 10.1618i | 0.297848 | + | 0.515888i | ||||
\(389\) | 16.2983 | 0.826354 | 0.413177 | − | 0.910651i | \(-0.364419\pi\) | ||||
0.413177 | + | 0.910651i | \(0.364419\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 6.51459 | + | 11.2836i | 0.329457 | + | 0.570636i | ||||
\(392\) | −6.99115 | + | 0.351971i | −0.353106 | + | 0.0177772i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 5.52918 | + | 9.57682i | 0.278556 | + | 0.482473i | ||||
\(395\) | −2.74484 | − | 4.75420i | −0.138108 | − | 0.239210i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −6.08619 | + | 10.5416i | −0.305457 | + | 0.529067i | −0.977363 | − | 0.211569i | \(-0.932143\pi\) |
0.671906 | + | 0.740636i | \(0.265476\pi\) | |||||||
\(398\) | 2.80924 | − | 4.86575i | 0.140815 | − | 0.243898i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.32383 | + | 4.02499i | 0.116192 | + | 0.201250i | ||||
\(401\) | 33.3609 | 1.66596 | 0.832981 | − | 0.553301i | \(-0.186632\pi\) | ||||
0.832981 | + | 0.553301i | \(0.186632\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −19.7821 | −0.985416 | ||||||||
\(404\) | −0.811379 | + | 1.40535i | −0.0403676 | + | 0.0699187i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.412155 | + | 16.3835i | 0.0204549 | + | 0.813102i | ||||
\(407\) | 0.296790 | − | 0.514055i | 0.0147113 | − | 0.0254808i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.89037 | − | 5.00627i | 0.142920 | − | 0.247544i | −0.785675 | − | 0.618639i | \(-0.787684\pi\) |
0.928595 | + | 0.371095i | \(0.121018\pi\) | |||||||
\(410\) | −0.0811263 | + | 0.140515i | −0.00400654 | + | 0.00693954i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −3.19076 | + | 5.52655i | −0.157197 | + | 0.272274i | ||||
\(413\) | −20.0957 | − | 10.9379i | −0.988846 | − | 0.538217i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.28580 | − | 3.95912i | 0.112205 | − | 0.194346i | ||||
\(416\) | 2.51459 | 0.123288 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −3.19436 | −0.156241 | ||||||||
\(419\) | −15.4356 | − | 26.7352i | −0.754078 | − | 1.30610i | −0.945831 | − | 0.324659i | \(-0.894751\pi\) |
0.191753 | − | 0.981443i | \(-0.438583\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.86693 | + | 3.23361i | −0.0909884 | + | 0.157597i | −0.907927 | − | 0.419128i | \(-0.862336\pi\) |
0.816939 | + | 0.576724i | \(0.195669\pi\) | |||||||
\(422\) | 9.66225 | − | 16.7355i | 0.470351 | − | 0.814672i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −4.02704 | − | 6.97504i | −0.195570 | − | 0.338738i | ||||
\(425\) | 6.78794 | + | 11.7570i | 0.329263 | + | 0.570301i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 15.0057 | − | 9.17431i | 0.726178 | − | 0.443976i | ||||
\(428\) | −9.35447 | − | 16.2024i | −0.452165 | − | 0.783174i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −6.62568 | −0.319519 | ||||||||
\(431\) | 14.0979 | + | 24.4182i | 0.679070 | + | 1.17618i | 0.975261 | + | 0.221055i | \(0.0709499\pi\) |
−0.296192 | + | 0.955128i | \(0.595717\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 12.5438 | 0.602815 | 0.301407 | − | 0.953495i | \(-0.402544\pi\) | ||||
0.301407 | + | 0.953495i | \(0.402544\pi\) | |||||||
\(434\) | 0.523443 | + | 20.8073i | 0.0251261 | + | 0.998785i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2.86693 | 0.137301 | ||||||||
\(437\) | −12.0021 | + | 20.7883i | −0.574140 | + | 0.994440i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −13.0203 | − | 22.5519i | −0.621426 | − | 1.07634i | −0.989220 | − | 0.146434i | \(-0.953220\pi\) |
0.367794 | − | 0.929907i | \(-0.380113\pi\) | |||||||
\(440\) | −0.352336 | −0.0167970 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 7.34514 | 0.349373 | ||||||||
\(443\) | −11.7865 | − | 20.4148i | −0.559992 | − | 0.969935i | −0.997496 | − | 0.0707186i | \(-0.977471\pi\) |
0.437504 | − | 0.899216i | \(-0.355863\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.69076 | + | 6.39258i | −0.174959 | + | 0.303037i | ||||
\(446\) | −25.3245 | −1.19915 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.0665372 | − | 2.64491i | −0.00314359 | − | 0.124960i | ||||
\(449\) | −13.6870 | −0.645928 | −0.322964 | − | 0.946411i | \(-0.604679\pi\) | ||||
−0.322964 | + | 0.946411i | \(0.604679\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.0811263 | + | 0.140515i | 0.00382009 | + | 0.00661659i | ||||
\(452\) | −12.3202 | −0.579495 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 2.40856 | + | 4.17174i | 0.113039 | + | 0.195790i | ||||
\(455\) | 3.36926 | − | 2.05992i | 0.157953 | − | 0.0965705i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 11.1762 | + | 19.3577i | 0.522799 | + | 0.905515i | 0.999648 | + | 0.0265293i | \(0.00844554\pi\) |
−0.476849 | + | 0.878985i | \(0.658221\pi\) | |||||||
\(458\) | 4.64766 | + | 8.04999i | 0.217171 | + | 0.376151i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −1.32383 | + | 2.29294i | −0.0617240 | + | 0.106909i | ||||
\(461\) | 3.98755 | − | 6.90663i | 0.185719 | − | 0.321674i | −0.758100 | − | 0.652138i | \(-0.773872\pi\) |
0.943818 | + | 0.330464i | \(0.107205\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −14.3676 | − | 24.8854i | −0.667719 | − | 1.15652i | −0.978540 | − | 0.206055i | \(-0.933937\pi\) |
0.310821 | − | 0.950468i | \(-0.399396\pi\) | |||||||
\(464\) | −6.19436 | −0.287566 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.194356 | 0.00900336 | ||||||||
\(467\) | −16.7829 | + | 29.0688i | −0.776619 | + | 1.34514i | 0.157261 | + | 0.987557i | \(0.449733\pi\) |
−0.933880 | + | 0.357586i | \(0.883600\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4.44738 | − | 2.42066i | −0.205361 | − | 0.111775i | ||||
\(470\) | −3.60963 | + | 6.25206i | −0.166500 | + | 0.288386i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 4.32383 | − | 7.48910i | 0.199020 | − | 0.344714i | ||||
\(473\) | −3.31284 | + | 5.73801i | −0.152325 | + | 0.263834i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −12.5057 | + | 21.6606i | −0.573802 | + | 0.993855i | ||||
\(476\) | −0.194356 | − | 7.72582i | −0.00890829 | − | 0.354112i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 6.82743 | − | 11.8255i | 0.312279 | − | 0.540884i | ||||
\(479\) | −0.367120 | −0.0167741 | −0.00838707 | − | 0.999965i | \(-0.502670\pi\) | ||||
−0.00838707 | + | 0.999965i | \(0.502670\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.51459 | −0.114655 | ||||||||
\(482\) | 6.50000 | + | 11.2583i | 0.296067 | + | 0.512803i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 5.32383 | − | 9.22115i | 0.241992 | − | 0.419143i | ||||
\(485\) | −3.48249 | + | 6.03184i | −0.158132 | + | 0.273892i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −14.9538 | − | 25.9007i | −0.677621 | − | 1.17367i | −0.975695 | − | 0.219131i | \(-0.929678\pi\) |
0.298075 | − | 0.954543i | \(-0.403656\pi\) | |||||||
\(488\) | 3.32383 | + | 5.75705i | 0.150463 | + | 0.260609i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −2.25583 | − | 3.48937i | −0.101908 | − | 0.157634i | ||||
\(491\) | 0.255158 | + | 0.441947i | 0.0115151 | + | 0.0199448i | 0.871726 | − | 0.489994i | \(-0.163001\pi\) |
−0.860210 | + | 0.509939i | \(0.829668\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −18.0938 | −0.814903 | ||||||||
\(494\) | 6.76615 | + | 11.7193i | 0.304423 | + | 0.527277i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −7.86693 | −0.353235 | ||||||||
\(497\) | −0.958848 | − | 38.1151i | −0.0430102 | − | 1.70969i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −19.0191 | −0.851410 | −0.425705 | − | 0.904862i | \(-0.639974\pi\) | ||||
−0.425705 | + | 0.904862i | \(0.639974\pi\) | |||||||
\(500\) | −2.86333 | + | 4.95943i | −0.128052 | + | 0.221792i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −9.77188 | − | 16.9254i | −0.436141 | − | 0.755418i | ||||
\(503\) | 37.7807 | 1.68456 | 0.842280 | − | 0.539040i | \(-0.181213\pi\) | ||||
0.842280 | + | 0.539040i | \(0.181213\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.963235 | −0.0428634 | ||||||||
\(506\) | 1.32383 | + | 2.29294i | 0.0588515 | + | 0.101934i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −6.16731 | + | 10.6821i | −0.273630 | + | 0.473942i | ||||
\(509\) | 11.2163 | 0.497155 | 0.248578 | − | 0.968612i | \(-0.420037\pi\) | ||||
0.248578 | + | 0.968612i | \(0.420037\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 17.8638 | − | 10.9217i | 0.790248 | − | 0.483147i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 4.16372 | + | 7.21177i | 0.183654 | + | 0.318097i | ||||
\(515\) | −3.78794 | −0.166916 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.60963 | + | 6.25206i | 0.158751 | + | 0.274965i | ||||
\(518\) | 0.0665372 | + | 2.64491i | 0.00292348 | + | 0.116211i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.746304 | + | 1.29264i | 0.0327276 | + | 0.0566859i | ||||
\(521\) | 13.7360 | + | 23.7914i | 0.601785 | + | 1.04232i | 0.992551 | + | 0.121831i | \(0.0388767\pi\) |
−0.390766 | + | 0.920490i | \(0.627790\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 11.0919 | − | 19.2118i | 0.485016 | − | 0.840072i | −0.514836 | − | 0.857289i | \(-0.672147\pi\) |
0.999852 | + | 0.0172166i | \(0.00548048\pi\) | |||||||
\(524\) | −0.593579 | + | 1.02811i | −0.0259306 | + | 0.0449132i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −8.54523 | − | 14.8008i | −0.372590 | − | 0.645344i | ||||
\(527\) | −22.9794 | −1.00100 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.10390 | −0.134952 | ||||||||
\(530\) | 2.39037 | − | 4.14024i | 0.103831 | − | 0.179841i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 12.1477 | − | 7.42692i | 0.526668 | − | 0.321998i | ||||
\(533\) | 0.343677 | − | 0.595265i | 0.0148863 | − | 0.0257838i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 5.55262 | − | 9.61742i | 0.240061 | − | 0.415797i | ||||
\(536\) | 0.956906 | − | 1.65741i | 0.0413321 | − | 0.0715892i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 5.00720 | − | 8.67272i | 0.215876 | − | 0.373908i | ||||
\(539\) | −4.14980 | + | 0.208922i | −0.178745 | + | 0.00899893i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 14.9246 | − | 25.8502i | 0.641659 | − | 1.11139i | −0.343403 | − | 0.939188i | \(-0.611580\pi\) |
0.985062 | − | 0.172198i | \(-0.0550869\pi\) | |||||||
\(542\) | −10.2091 | −0.438520 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.92101 | 0.125237 | ||||||||
\(545\) | 0.850874 | + | 1.47376i | 0.0364474 | + | 0.0631288i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 8.84348 | − | 15.3174i | 0.378120 | − | 0.654923i | −0.612669 | − | 0.790340i | \(-0.709904\pi\) |
0.990789 | + | 0.135417i | \(0.0432373\pi\) | |||||||
\(548\) | 1.26089 | − | 2.18393i | 0.0538627 | − | 0.0932929i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.37938 | + | 2.38915i | 0.0588169 | + | 0.101874i | ||||
\(551\) | −16.6675 | − | 28.8690i | −0.710060 | − | 1.22986i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 20.8765 | − | 12.7636i | 0.887757 | − | 0.542763i | ||||
\(554\) | −9.67111 | − | 16.7508i | −0.410886 | − | 0.711675i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −4.91381 | −0.208392 | ||||||||
\(557\) | −15.0651 | − | 26.0935i | −0.638328 | − | 1.10562i | −0.985800 | − | 0.167926i | \(-0.946293\pi\) |
0.347472 | − | 0.937690i | \(-0.387040\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 28.0685 | 1.18717 | ||||||||
\(560\) | 1.33988 | − | 0.819187i | 0.0566204 | − | 0.0346170i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −12.8027 | −0.540050 | ||||||||
\(563\) | 2.04883 | − | 3.54867i | 0.0863478 | − | 0.149559i | −0.819617 | − | 0.572912i | \(-0.805814\pi\) |
0.905965 | + | 0.423353i | \(0.139147\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −3.65652 | − | 6.33327i | −0.153831 | − | 0.266443i | ||||
\(566\) | −16.3523 | −0.687340 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 14.4107 | 0.604659 | ||||||||
\(569\) | 3.11849 | + | 5.40138i | 0.130734 | + | 0.226437i | 0.923960 | − | 0.382490i | \(-0.124933\pi\) |
−0.793226 | + | 0.608927i | \(0.791600\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −17.8011 | + | 30.8323i | −0.744951 | + | 1.29029i | 0.205266 | + | 0.978706i | \(0.434194\pi\) |
−0.950218 | + | 0.311587i | \(0.899139\pi\) | |||||||
\(572\) | 1.49261 | 0.0624091 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.635211 | − | 0.345738i | −0.0265132 | − | 0.0144308i | ||||
\(575\) | 20.7309 | 0.864539 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 23.1388 | + | 40.0776i | 0.963281 | + | 1.66845i | 0.714164 | + | 0.699979i | \(0.246807\pi\) |
0.249118 | + | 0.968473i | \(0.419859\pi\) | |||||||
\(578\) | −8.46770 | −0.352210 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −1.83842 | − | 3.18424i | −0.0763363 | − | 0.132218i | ||||
\(581\) | 17.8976 | + | 9.74143i | 0.742516 | + | 0.404143i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.39037 | − | 4.14024i | −0.0989990 | − | 0.171471i | ||||
\(584\) | 3.95691 | + | 6.85356i | 0.163738 | + | 0.283602i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 10.3889 | − | 17.9941i | 0.429162 | − | 0.743330i | ||||
\(587\) | −1.13161 | + | 1.96001i | −0.0467066 | + | 0.0808982i | −0.888434 | − | 0.459005i | \(-0.848206\pi\) |
0.841727 | + | 0.539903i | \(0.181539\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −21.1680 | − | 36.6640i | −0.872212 | − | 1.51072i | ||||
\(590\) | 5.13307 | 0.211325 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.00000 | −0.0410997 | ||||||||
\(593\) | −23.0979 | + | 40.0067i | −0.948515 | + | 1.64288i | −0.199960 | + | 0.979804i | \(0.564081\pi\) |
−0.748555 | + | 0.663072i | \(0.769252\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 3.91381 | − | 2.39285i | 0.160451 | − | 0.0980974i | ||||
\(596\) | 9.02558 | − | 15.6328i | 0.369702 | − | 0.640343i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 5.60817 | − | 9.71363i | 0.229335 | − | 0.397220i | ||||
\(599\) | −8.39037 | + | 14.5325i | −0.342821 | + | 0.593784i | −0.984955 | − | 0.172808i | \(-0.944716\pi\) |
0.642134 | + | 0.766592i | \(0.278049\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −5.69961 | + | 9.87202i | −0.232492 | + | 0.402688i | −0.958541 | − | 0.284955i | \(-0.908021\pi\) |
0.726049 | + | 0.687643i | \(0.241355\pi\) | |||||||
\(602\) | −0.742705 | − | 29.5232i | −0.0302704 | − | 1.20328i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.823832 | + | 1.42692i | −0.0335212 | + | 0.0580605i | ||||
\(605\) | 6.32023 | 0.256954 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −14.4284 | −0.585631 | −0.292815 | − | 0.956169i | \(-0.594592\pi\) | ||||
−0.292815 | + | 0.956169i | \(0.594592\pi\) | |||||||
\(608\) | 2.69076 | + | 4.66053i | 0.109125 | + | 0.189009i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.97296 | + | 3.41726i | −0.0798827 | + | 0.138361i | ||||
\(611\) | 15.2915 | − | 26.4857i | 0.618629 | − | 1.07150i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 12.2053 | + | 21.1403i | 0.492969 | + | 0.853848i | 0.999967 | − | 0.00809942i | \(-0.00257815\pi\) |
−0.506998 | + | 0.861947i | \(0.669245\pi\) | |||||||
\(614\) | 11.3384 | + | 19.6387i | 0.457581 | + | 0.792554i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.0394951 | − | 1.56997i | −0.00159130 | − | 0.0632558i | ||||
\(617\) | −24.4698 | − | 42.3830i | −0.985119 | − | 1.70628i | −0.641408 | − | 0.767200i | \(-0.721650\pi\) |
−0.343710 | − | 0.939076i | \(-0.611684\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −44.6591 | −1.79500 | −0.897501 | − | 0.441012i | \(-0.854620\pi\) | ||||
−0.897501 | + | 0.441012i | \(0.854620\pi\) | |||||||
\(620\) | −2.33482 | − | 4.04403i | −0.0937687 | − | 0.162412i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 6.51459 | 0.261211 | ||||||||
\(623\) | −28.8982 | − | 15.7290i | −1.15778 | − | 0.630168i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 19.8391 | 0.793564 | ||||||||
\(626\) | −0.133074 | + | 0.230492i | −0.00531873 | + | 0.00921230i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 3.30039 | + | 5.71644i | 0.131700 | + | 0.228111i | ||||
\(629\) | −2.92101 | −0.116468 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 33.2852 | 1.32506 | 0.662532 | − | 0.749034i | \(-0.269482\pi\) | ||||
0.662532 | + | 0.749034i | \(0.269482\pi\) | |||||||
\(632\) | 4.62422 | + | 8.00938i | 0.183942 | + | 0.318596i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 7.86186 | − | 13.6171i | 0.312235 | − | 0.540806i | ||||
\(635\) | −7.32158 | −0.290548 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 9.55641 | + | 14.7821i | 0.378639 | + | 0.585687i | ||||
\(638\) | −3.67684 | −0.145568 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.296790 | + | 0.514055i | 0.0117316 | + | 0.0203198i | ||||
\(641\) | −30.7879 | −1.21605 | −0.608025 | − | 0.793918i | \(-0.708038\pi\) | ||||
−0.608025 | + | 0.793918i | \(0.708038\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −13.7345 | − | 23.7889i | −0.541637 | − | 0.938142i | −0.998810 | − | 0.0487649i | \(-0.984471\pi\) |
0.457174 | − | 0.889378i | \(-0.348862\pi\) | |||||||
\(644\) | −10.3655 | − | 5.64180i | −0.408456 | − | 0.222318i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 7.85973 | + | 13.6134i | 0.309237 | + | 0.535614i | ||||
\(647\) | 6.63521 | + | 11.4925i | 0.260857 | + | 0.451818i | 0.966470 | − | 0.256780i | \(-0.0826615\pi\) |
−0.705613 | + | 0.708598i | \(0.749328\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 2.56654 | − | 4.44537i | 0.100745 | − | 0.174496i | ||||
\(650\) | 5.84348 | − | 10.1212i | 0.229200 | − | 0.396986i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.99115 | − | 5.18082i | −0.117142 | − | 0.202896i | ||||
\(653\) | 17.1416 | 0.670803 | 0.335402 | − | 0.942075i | \(-0.391128\pi\) | ||||
0.335402 | + | 0.942075i | \(0.391128\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.704673 | −0.0275338 | ||||||||
\(656\) | 0.136673 | − | 0.236725i | 0.00533619 | − | 0.00924255i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −28.2630 | − | 15.3832i | −1.10181 | − | 0.599701i | ||||
\(659\) | −4.26089 | + | 7.38008i | −0.165981 | + | 0.287487i | −0.937003 | − | 0.349321i | \(-0.886412\pi\) |
0.771022 | + | 0.636808i | \(0.219746\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −17.1680 | + | 29.7358i | −0.667757 | + | 1.15659i | 0.310773 | + | 0.950484i | \(0.399412\pi\) |
−0.978530 | + | 0.206105i | \(0.933921\pi\) | |||||||
\(662\) | 12.5811 | − | 21.7912i | 0.488979 | − | 0.846937i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −3.85087 | + | 6.66991i | −0.149443 | + | 0.258843i | ||||
\(665\) | 7.42315 | + | 4.04033i | 0.287857 | + | 0.156677i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −13.8150 | + | 23.9282i | −0.534918 | + | 0.926505i | ||||
\(668\) | 7.46050 | 0.288656 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1.13600 | 0.0438875 | ||||||||
\(671\) | 1.97296 | + | 3.41726i | 0.0761652 | + | 0.131922i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −7.70155 | + | 13.3395i | −0.296873 | + | 0.514199i | −0.975419 | − | 0.220359i | \(-0.929277\pi\) |
0.678546 | + | 0.734558i | \(0.262610\pi\) | |||||||
\(674\) | −9.36693 | + | 16.2240i | −0.360800 | + | 0.624925i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.33842 | + | 5.78231i | 0.128401 | + | 0.222397i | ||||
\(677\) | −3.69076 | − | 6.39258i | −0.141847 | − | 0.245687i | 0.786345 | − | 0.617788i | \(-0.211971\pi\) |
−0.928192 | + | 0.372101i | \(0.878638\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −27.2675 | − | 14.8414i | −1.04643 | − | 0.569560i | ||||
\(680\) | 0.866926 | + | 1.50156i | 0.0332451 | + | 0.0575822i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −4.66964 | −0.178810 | ||||||||
\(683\) | −4.79893 | − | 8.31198i | −0.183626 | − | 0.318049i | 0.759487 | − | 0.650523i | \(-0.225450\pi\) |
−0.943113 | + | 0.332474i | \(0.892117\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.49688 | 0.0571929 | ||||||||
\(686\) | 15.2953 | − | 10.4428i | 0.583978 | − | 0.398710i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 11.1623 | 0.425557 | ||||||||
\(689\) | −10.1264 | + | 17.5394i | −0.385783 | + | 0.668197i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 7.07227 | + | 12.2495i | 0.269042 | + | 0.465994i | 0.968615 | − | 0.248567i | \(-0.0799597\pi\) |
−0.699573 | + | 0.714561i | \(0.746626\pi\) | |||||||
\(692\) | 25.6591 | 0.975414 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −22.5438 | −0.855750 | ||||||||
\(695\) | −1.45837 | − | 2.52597i | −0.0553191 | − | 0.0958155i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.399223 | − | 0.691475i | 0.0151217 | − | 0.0261915i | ||||
\(698\) | −3.79086 | −0.143486 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −10.8004 | − | 5.87852i | −0.408216 | − | 0.222187i | ||||
\(701\) | −37.3753 | −1.41164 | −0.705822 | − | 0.708389i | \(-0.749422\pi\) | ||||
−0.705822 | + | 0.708389i | \(0.749422\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −2.69076 | − | 4.66053i | −0.101484 | − | 0.175775i | ||||
\(704\) | 0.593579 | 0.0223714 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 3.41741 | + | 5.91913i | 0.128616 | + | 0.222769i | ||||
\(707\) | −0.107974 | − | 4.29205i | −0.00406077 | − | 0.161419i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 5.24338 | + | 9.08180i | 0.196919 | + | 0.341074i | 0.947528 | − | 0.319673i | \(-0.103573\pi\) |
−0.750609 | + | 0.660747i | \(0.770240\pi\) | |||||||
\(710\) | 4.27694 | + | 7.40789i | 0.160511 | + | 0.278013i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 6.21780 | − | 10.7695i | 0.233022 | − | 0.403606i | ||||
\(713\) | −17.5452 | + | 30.3892i | −0.657074 | + | 1.13809i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.442991 | + | 0.767282i | 0.0165669 | + | 0.0286947i | ||||
\(716\) | 15.0364 | 0.561936 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −12.6447 | −0.471897 | ||||||||
\(719\) | −1.11995 | + | 1.93981i | −0.0417670 | + | 0.0723426i | −0.886153 | − | 0.463392i | \(-0.846632\pi\) |
0.844386 | + | 0.535735i | \(0.179965\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.424608 | − | 16.8786i | −0.0158132 | − | 0.628590i | ||||
\(722\) | −4.98035 | + | 8.62622i | −0.185349 | + | 0.321035i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0.0430937 | − | 0.0746406i | 0.00160157 | − | 0.00277399i | ||||
\(725\) | −14.3946 | + | 24.9322i | −0.534604 | + | 0.925961i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 0.185023 | − | 0.320469i | 0.00686211 | − | 0.0118855i | −0.862574 | − | 0.505931i | \(-0.831149\pi\) |
0.869436 | + | 0.494045i | \(0.164482\pi\) | |||||||
\(728\) | −5.67617 | + | 3.47033i | −0.210373 | + | 0.128619i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −2.34874 | + | 4.06813i | −0.0869307 | + | 0.150568i | ||||
\(731\) | 32.6050 | 1.20594 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 14.0191 | 0.517806 | 0.258903 | − | 0.965903i | \(-0.416639\pi\) | ||||
0.258903 | + | 0.965903i | \(0.416639\pi\) | |||||||
\(734\) | −3.27188 | − | 5.66707i | −0.120767 | − | 0.209175i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 2.23025 | − | 3.86291i | 0.0822082 | − | 0.142389i | ||||
\(737\) | 0.568000 | − | 0.983804i | 0.0209225 | − | 0.0362389i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 13.3872 | + | 23.1874i | 0.492458 | + | 0.852962i | 0.999962 | − | 0.00868705i | \(-0.00276521\pi\) |
−0.507504 | + | 0.861649i | \(0.669432\pi\) | |||||||
\(740\) | −0.296790 | − | 0.514055i | −0.0109102 | − | 0.0188970i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 18.7163 | + | 10.1871i | 0.687098 | + | 0.373980i | ||||
\(743\) | 5.04669 | + | 8.74113i | 0.185145 | + | 0.320681i | 0.943625 | − | 0.331015i | \(-0.107391\pi\) |
−0.758480 | + | 0.651696i | \(0.774058\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 10.7148 | 0.392560 | ||||||||
\(746\) | −4.71420 | − | 8.16524i | −0.172599 | − | 0.298951i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 1.73385 | 0.0633959 | ||||||||
\(749\) | 43.4764 | + | 23.6637i | 1.58859 | + | 0.864653i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 11.5146 | 0.420173 | 0.210087 | − | 0.977683i | \(-0.432625\pi\) | ||||
0.210087 | + | 0.977683i | \(0.432625\pi\) | |||||||
\(752\) | 6.08113 | − | 10.5328i | 0.221756 | − | 0.384092i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 7.78813 | + | 13.4894i | 0.283627 | + | 0.491256i | ||||
\(755\) | −0.978019 | −0.0355938 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −15.2484 | −0.554214 | −0.277107 | − | 0.960839i | \(-0.589376\pi\) | ||||
−0.277107 | + | 0.960839i | \(0.589376\pi\) | |||||||
\(758\) | 3.63881 | + | 6.30260i | 0.132168 | + | 0.228921i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −1.59718 | + | 2.76639i | −0.0579357 | + | 0.100348i | ||||
\(761\) | 1.70175 | 0.0616883 | 0.0308442 | − | 0.999524i | \(-0.490180\pi\) | ||||
0.0308442 | + | 0.999524i | \(0.490180\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −6.47150 | + | 3.95659i | −0.234284 | + | 0.143238i | ||||
\(764\) | −3.98229 | −0.144074 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −12.0416 | − | 20.8567i | −0.435082 | − | 0.753584i | ||||
\(767\) | −21.7453 | −0.785178 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 24.1211 | + | 41.7790i | 0.869829 | + | 1.50659i | 0.862171 | + | 0.506618i | \(0.169104\pi\) |
0.00765823 | + | 0.999971i | \(0.497562\pi\) | |||||||
\(770\) | 0.795327 | − | 0.486253i | 0.0286616 | − | 0.0175233i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −3.39037 | − | 5.87229i | −0.122022 | − | 0.211348i | ||||
\(773\) | −3.10243 | − | 5.37357i | −0.111587 | − | 0.193274i | 0.804823 | − | 0.593514i | \(-0.202260\pi\) |
−0.916410 | + | 0.400240i | \(0.868927\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −18.2814 | + | 31.6643i | −0.656688 | + | 1.13742i | ||||
\(776\) | 5.86693 | − | 10.1618i | 0.210610 | − | 0.364788i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −8.14913 | − | 14.1147i | −0.292160 | − | 0.506037i | ||||
\(779\) | 1.47102 | 0.0527046 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 8.55389 | 0.306082 | ||||||||
\(782\) | 6.51459 | − | 11.2836i | 0.232961 | − | 0.403501i | ||||
\(783\) | 0 | 0 |