Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1386,2,Mod(793,1386)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1386, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1386.793");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1386 = 2 \cdot 3^{2} \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1386.k (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.0672657201\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} + 2x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 991.1 | ||
Root | \(-0.707107 - 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1386.991 |
Dual form | 1386.2.k.u.793.1 |
$q$-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 \(\left(\mathbb{Z}/1386\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(1135\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −0.207107 | − | 0.358719i | −0.0926210 | − | 0.160424i | 0.815992 | − | 0.578063i | \(-0.196191\pi\) |
−0.908613 | + | 0.417639i | \(0.862858\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.62132 | + | 0.358719i | −0.990766 | + | 0.135583i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.207107 | − | 0.358719i | 0.0654929 | − | 0.113437i | ||||
\(11\) | 0.500000 | − | 0.866025i | 0.150756 | − | 0.261116i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.17157 | −0.324936 | −0.162468 | − | 0.986714i | \(-0.551945\pi\) | ||||
−0.162468 | + | 0.986714i | \(0.551945\pi\) | |||||||
\(14\) | −1.62132 | − | 2.09077i | −0.433316 | − | 0.558782i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −1.08579 | + | 1.88064i | −0.263342 | + | 0.456122i | −0.967128 | − | 0.254291i | \(-0.918158\pi\) |
0.703786 | + | 0.710412i | \(0.251491\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.414214 | − | 0.717439i | −0.0950271 | − | 0.164592i | 0.814593 | − | 0.580033i | \(-0.196960\pi\) |
−0.909620 | + | 0.415441i | \(0.863627\pi\) | |||||||
\(20\) | 0.414214 | 0.0926210 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.00000 | 0.213201 | ||||||||
\(23\) | −1.62132 | − | 2.80821i | −0.338069 | − | 0.585552i | 0.646001 | − | 0.763337i | \(-0.276440\pi\) |
−0.984069 | + | 0.177785i | \(0.943107\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.41421 | − | 4.18154i | 0.482843 | − | 0.836308i | ||||
\(26\) | −0.585786 | − | 1.01461i | −0.114882 | − | 0.198982i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.00000 | − | 2.44949i | 0.188982 | − | 0.462910i | ||||
\(29\) | −2.82843 | −0.525226 | −0.262613 | − | 0.964901i | \(-0.584584\pi\) | ||||
−0.262613 | + | 0.964901i | \(0.584584\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.24264 | − | 5.61642i | 0.582395 | − | 1.00874i | −0.412799 | − | 0.910822i | \(-0.635449\pi\) |
0.995195 | − | 0.0979165i | \(-0.0312178\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.17157 | −0.372422 | ||||||||
\(35\) | 0.671573 | + | 0.866025i | 0.113517 | + | 0.146385i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.82843 | − | 8.36308i | −0.793789 | − | 1.37488i | −0.923606 | − | 0.383344i | \(-0.874772\pi\) |
0.129817 | − | 0.991538i | \(-0.458561\pi\) | |||||||
\(38\) | 0.414214 | − | 0.717439i | 0.0671943 | − | 0.116384i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.207107 | + | 0.358719i | 0.0327465 | + | 0.0567185i | ||||
\(41\) | −4.65685 | −0.727278 | −0.363639 | − | 0.931540i | \(-0.618466\pi\) | ||||
−0.363639 | + | 0.931540i | \(0.618466\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.82843 | −0.431331 | −0.215666 | − | 0.976467i | \(-0.569192\pi\) | ||||
−0.215666 | + | 0.976467i | \(0.569192\pi\) | |||||||
\(44\) | 0.500000 | + | 0.866025i | 0.0753778 | + | 0.130558i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.62132 | − | 2.80821i | 0.239051 | − | 0.414048i | ||||
\(47\) | −4.62132 | − | 8.00436i | −0.674089 | − | 1.16756i | −0.976734 | − | 0.214453i | \(-0.931203\pi\) |
0.302645 | − | 0.953103i | \(-0.402130\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.74264 | − | 1.88064i | 0.963234 | − | 0.268662i | ||||
\(50\) | 4.82843 | 0.682843 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.585786 | − | 1.01461i | 0.0812340 | − | 0.140701i | ||||
\(53\) | −2.58579 | + | 4.47871i | −0.355185 | + | 0.615199i | −0.987150 | − | 0.159799i | \(-0.948915\pi\) |
0.631965 | + | 0.774997i | \(0.282249\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.414214 | −0.0558525 | ||||||||
\(56\) | 2.62132 | − | 0.358719i | 0.350289 | − | 0.0479359i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.41421 | − | 2.44949i | −0.185695 | − | 0.321634i | ||||
\(59\) | −1.82843 | + | 3.16693i | −0.238041 | + | 0.412299i | −0.960152 | − | 0.279478i | \(-0.909839\pi\) |
0.722111 | + | 0.691777i | \(0.243172\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.792893 | + | 1.37333i | 0.101520 | + | 0.175837i | 0.912311 | − | 0.409498i | \(-0.134296\pi\) |
−0.810791 | + | 0.585335i | \(0.800963\pi\) | |||||||
\(62\) | 6.48528 | 0.823632 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0.242641 | + | 0.420266i | 0.0300959 | + | 0.0521276i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.74264 | − | 11.6786i | 0.823745 | − | 1.42677i | −0.0791303 | − | 0.996864i | \(-0.525214\pi\) |
0.902875 | − | 0.429903i | \(-0.141452\pi\) | |||||||
\(68\) | −1.08579 | − | 1.88064i | −0.131671 | − | 0.228061i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.414214 | + | 1.01461i | −0.0495080 | + | 0.121269i | ||||
\(71\) | −13.3137 | −1.58005 | −0.790023 | − | 0.613077i | \(-0.789932\pi\) | ||||
−0.790023 | + | 0.613077i | \(0.789932\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.41421 | − | 4.18154i | 0.282562 | − | 0.489412i | −0.689453 | − | 0.724331i | \(-0.742149\pi\) |
0.972015 | + | 0.234918i | \(0.0754823\pi\) | |||||||
\(74\) | 4.82843 | − | 8.36308i | 0.561293 | − | 0.972188i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.828427 | 0.0950271 | ||||||||
\(77\) | −1.00000 | + | 2.44949i | −0.113961 | + | 0.279145i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.37868 | − | 4.11999i | −0.267622 | − | 0.463536i | 0.700625 | − | 0.713530i | \(-0.252905\pi\) |
−0.968247 | + | 0.249994i | \(0.919571\pi\) | |||||||
\(80\) | −0.207107 | + | 0.358719i | −0.0231552 | + | 0.0401061i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −2.32843 | − | 4.03295i | −0.257132 | − | 0.445365i | ||||
\(83\) | 9.82843 | 1.07881 | 0.539405 | − | 0.842046i | \(-0.318649\pi\) | ||||
0.539405 | + | 0.842046i | \(0.318649\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.899495 | 0.0975639 | ||||||||
\(86\) | −1.41421 | − | 2.44949i | −0.152499 | − | 0.264135i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.500000 | + | 0.866025i | −0.0533002 | + | 0.0923186i | ||||
\(89\) | 6.24264 | + | 10.8126i | 0.661719 | + | 1.14613i | 0.980164 | + | 0.198189i | \(0.0635060\pi\) |
−0.318445 | + | 0.947941i | \(0.603161\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.07107 | − | 0.420266i | 0.321935 | − | 0.0440558i | ||||
\(92\) | 3.24264 | 0.338069 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.62132 | − | 8.00436i | 0.476653 | − | 0.825587i | ||||
\(95\) | −0.171573 | + | 0.297173i | −0.0176030 | + | 0.0304893i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −10.1716 | −1.03277 | −0.516383 | − | 0.856358i | \(-0.672722\pi\) | ||||
−0.516383 | + | 0.856358i | \(0.672722\pi\) | |||||||
\(98\) | 5.00000 | + | 4.89898i | 0.505076 | + | 0.494872i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.41421 | + | 4.18154i | 0.241421 | + | 0.418154i | ||||
\(101\) | −7.07107 | + | 12.2474i | −0.703598 | + | 1.21867i | 0.263598 | + | 0.964633i | \(0.415091\pi\) |
−0.967195 | + | 0.254034i | \(0.918242\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.58579 | + | 7.94282i | 0.451851 | + | 0.782629i | 0.998501 | − | 0.0547323i | \(-0.0174305\pi\) |
−0.546650 | + | 0.837361i | \(0.684097\pi\) | |||||||
\(104\) | 1.17157 | 0.114882 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −5.17157 | −0.502308 | ||||||||
\(107\) | −8.32843 | − | 14.4253i | −0.805139 | − | 1.39454i | −0.916197 | − | 0.400728i | \(-0.868757\pi\) |
0.111057 | − | 0.993814i | \(-0.464576\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.62132 | + | 2.80821i | −0.155294 | + | 0.268978i | −0.933166 | − | 0.359445i | \(-0.882966\pi\) |
0.777872 | + | 0.628423i | \(0.216299\pi\) | |||||||
\(110\) | −0.207107 | − | 0.358719i | −0.0197469 | − | 0.0342026i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.62132 | + | 2.09077i | 0.153200 | + | 0.197559i | ||||
\(113\) | −3.65685 | −0.344008 | −0.172004 | − | 0.985096i | \(-0.555024\pi\) | ||||
−0.172004 | + | 0.985096i | \(0.555024\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.671573 | + | 1.16320i | −0.0626245 | + | 0.108469i | ||||
\(116\) | 1.41421 | − | 2.44949i | 0.131306 | − | 0.227429i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −3.65685 | −0.336641 | ||||||||
\(119\) | 2.17157 | − | 5.31925i | 0.199068 | − | 0.487614i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.500000 | − | 0.866025i | −0.0454545 | − | 0.0787296i | ||||
\(122\) | −0.792893 | + | 1.37333i | −0.0717852 | + | 0.124336i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.24264 | + | 5.61642i | 0.291198 | + | 0.504369i | ||||
\(125\) | −4.07107 | −0.364127 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.24264 | 0.110267 | 0.0551333 | − | 0.998479i | \(-0.482442\pi\) | ||||
0.0551333 | + | 0.998479i | \(0.482442\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.242641 | + | 0.420266i | −0.0212810 | + | 0.0368598i | ||||
\(131\) | 7.65685 | + | 13.2621i | 0.668982 | + | 1.15871i | 0.978189 | + | 0.207717i | \(0.0666032\pi\) |
−0.309207 | + | 0.950995i | \(0.600063\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.34315 | + | 1.73205i | 0.116466 | + | 0.150188i | ||||
\(134\) | 13.4853 | 1.16495 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.08579 | − | 1.88064i | 0.0931054 | − | 0.161263i | ||||
\(137\) | −2.41421 | + | 4.18154i | −0.206260 | + | 0.357253i | −0.950534 | − | 0.310622i | \(-0.899463\pi\) |
0.744273 | + | 0.667875i | \(0.232796\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.00000 | −0.508913 | −0.254457 | − | 0.967084i | \(-0.581897\pi\) | ||||
−0.254457 | + | 0.967084i | \(0.581897\pi\) | |||||||
\(140\) | −1.08579 | + | 0.148586i | −0.0917657 | + | 0.0125578i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −6.65685 | − | 11.5300i | −0.558631 | − | 0.967577i | ||||
\(143\) | −0.585786 | + | 1.01461i | −0.0489859 | + | 0.0848461i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.585786 | + | 1.01461i | 0.0486469 | + | 0.0842589i | ||||
\(146\) | 4.82843 | 0.399603 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 9.65685 | 0.793789 | ||||||||
\(149\) | 5.65685 | + | 9.79796i | 0.463428 | + | 0.802680i | 0.999129 | − | 0.0417274i | \(-0.0132861\pi\) |
−0.535701 | + | 0.844407i | \(0.679953\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.621320 | + | 1.07616i | −0.0505623 | + | 0.0875765i | −0.890199 | − | 0.455572i | \(-0.849435\pi\) |
0.839637 | + | 0.543149i | \(0.182768\pi\) | |||||||
\(152\) | 0.414214 | + | 0.717439i | 0.0335972 | + | 0.0581920i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −2.62132 | + | 0.358719i | −0.211232 | + | 0.0289064i | ||||
\(155\) | −2.68629 | −0.215768 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 4.58579 | − | 7.94282i | 0.365986 | − | 0.633906i | −0.622948 | − | 0.782263i | \(-0.714065\pi\) |
0.988934 | + | 0.148357i | \(0.0473986\pi\) | |||||||
\(158\) | 2.37868 | − | 4.11999i | 0.189238 | − | 0.327769i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.414214 | −0.0327465 | ||||||||
\(161\) | 5.25736 | + | 6.77962i | 0.414338 | + | 0.534309i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.50000 | − | 2.59808i | −0.117489 | − | 0.203497i | 0.801283 | − | 0.598286i | \(-0.204151\pi\) |
−0.918772 | + | 0.394789i | \(0.870818\pi\) | |||||||
\(164\) | 2.32843 | − | 4.03295i | 0.181820 | − | 0.314921i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.91421 | + | 8.51167i | 0.381417 | + | 0.660634i | ||||
\(167\) | 16.4853 | 1.27567 | 0.637835 | − | 0.770173i | \(-0.279830\pi\) | ||||
0.637835 | + | 0.770173i | \(0.279830\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −11.6274 | −0.894417 | ||||||||
\(170\) | 0.449747 | + | 0.778985i | 0.0344941 | + | 0.0597455i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.41421 | − | 2.44949i | 0.107833 | − | 0.186772i | ||||
\(173\) | −6.07107 | − | 10.5154i | −0.461575 | − | 0.799471i | 0.537465 | − | 0.843286i | \(-0.319382\pi\) |
−0.999040 | + | 0.0438152i | \(0.986049\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.82843 | + | 11.8272i | −0.364995 | + | 0.894051i | ||||
\(176\) | −1.00000 | −0.0753778 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −6.24264 | + | 10.8126i | −0.467906 | + | 0.810436i | ||||
\(179\) | −1.58579 | + | 2.74666i | −0.118527 | + | 0.205295i | −0.919184 | − | 0.393828i | \(-0.871151\pi\) |
0.800657 | + | 0.599123i | \(0.204484\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2.34315 | −0.174165 | −0.0870823 | − | 0.996201i | \(-0.527754\pi\) | ||||
−0.0870823 | + | 0.996201i | \(0.527754\pi\) | |||||||
\(182\) | 1.89949 | + | 2.44949i | 0.140800 | + | 0.181568i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.62132 | + | 2.80821i | 0.119525 | + | 0.207024i | ||||
\(185\) | −2.00000 | + | 3.46410i | −0.147043 | + | 0.254686i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.08579 | + | 1.88064i | 0.0794006 | + | 0.137526i | ||||
\(188\) | 9.24264 | 0.674089 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.343146 | −0.0248944 | ||||||||
\(191\) | −4.65685 | − | 8.06591i | −0.336958 | − | 0.583629i | 0.646901 | − | 0.762574i | \(-0.276065\pi\) |
−0.983859 | + | 0.178945i | \(0.942731\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4.58579 | − | 7.94282i | 0.330092 | − | 0.571736i | −0.652438 | − | 0.757843i | \(-0.726254\pi\) |
0.982530 | + | 0.186106i | \(0.0595868\pi\) | |||||||
\(194\) | −5.08579 | − | 8.80884i | −0.365138 | − | 0.632438i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.74264 | + | 6.77962i | −0.124474 | + | 0.484258i | ||||
\(197\) | 3.51472 | 0.250413 | 0.125207 | − | 0.992131i | \(-0.460041\pi\) | ||||
0.125207 | + | 0.992131i | \(0.460041\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 4.17157 | − | 7.22538i | 0.295715 | − | 0.512193i | −0.679436 | − | 0.733735i | \(-0.737775\pi\) |
0.975151 | + | 0.221541i | \(0.0711088\pi\) | |||||||
\(200\) | −2.41421 | + | 4.18154i | −0.170711 | + | 0.295680i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −14.1421 | −0.995037 | ||||||||
\(203\) | 7.41421 | − | 1.01461i | 0.520376 | − | 0.0712118i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.964466 | + | 1.67050i | 0.0673612 | + | 0.116673i | ||||
\(206\) | −4.58579 | + | 7.94282i | −0.319507 | + | 0.553402i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.585786 | + | 1.01461i | 0.0406170 | + | 0.0703507i | ||||
\(209\) | −0.828427 | −0.0573035 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 14.8284 | 1.02083 | 0.510416 | − | 0.859928i | \(-0.329492\pi\) | ||||
0.510416 | + | 0.859928i | \(0.329492\pi\) | |||||||
\(212\) | −2.58579 | − | 4.47871i | −0.177593 | − | 0.307599i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 8.32843 | − | 14.4253i | 0.569320 | − | 0.986090i | ||||
\(215\) | 0.585786 | + | 1.01461i | 0.0399503 | + | 0.0691960i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −6.48528 | + | 15.8856i | −0.440250 | + | 1.07839i | ||||
\(218\) | −3.24264 | −0.219619 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.207107 | − | 0.358719i | 0.0139631 | − | 0.0241849i | ||||
\(221\) | 1.27208 | − | 2.20330i | 0.0855692 | − | 0.148210i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −13.3137 | −0.891552 | −0.445776 | − | 0.895145i | \(-0.647072\pi\) | ||||
−0.445776 | + | 0.895145i | \(0.647072\pi\) | |||||||
\(224\) | −1.00000 | + | 2.44949i | −0.0668153 | + | 0.163663i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.82843 | − | 3.16693i | −0.121625 | − | 0.210661i | ||||
\(227\) | 6.15685 | − | 10.6640i | 0.408645 | − | 0.707794i | −0.586093 | − | 0.810244i | \(-0.699335\pi\) |
0.994738 | + | 0.102450i | \(0.0326682\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 5.65685 | + | 9.79796i | 0.373815 | + | 0.647467i | 0.990149 | − | 0.140018i | \(-0.0447160\pi\) |
−0.616334 | + | 0.787485i | \(0.711383\pi\) | |||||||
\(230\) | −1.34315 | −0.0885644 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2.82843 | 0.185695 | ||||||||
\(233\) | 4.15685 | + | 7.19988i | 0.272325 | + | 0.471680i | 0.969457 | − | 0.245263i | \(-0.0788742\pi\) |
−0.697132 | + | 0.716943i | \(0.745541\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1.91421 | + | 3.31552i | −0.124870 | + | 0.216280i | ||||
\(236\) | −1.82843 | − | 3.16693i | −0.119020 | − | 0.206149i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 5.69239 | − | 0.778985i | 0.368983 | − | 0.0504941i | ||||
\(239\) | −20.0000 | −1.29369 | −0.646846 | − | 0.762620i | \(-0.723912\pi\) | ||||
−0.646846 | + | 0.762620i | \(0.723912\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −12.4853 | + | 21.6251i | −0.804248 | + | 1.39300i | 0.112550 | + | 0.993646i | \(0.464098\pi\) |
−0.916798 | + | 0.399352i | \(0.869235\pi\) | |||||||
\(242\) | 0.500000 | − | 0.866025i | 0.0321412 | − | 0.0556702i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −1.58579 | −0.101520 | ||||||||
\(245\) | −2.07107 | − | 2.02922i | −0.132316 | − | 0.129642i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.485281 | + | 0.840532i | 0.0308777 | + | 0.0534818i | ||||
\(248\) | −3.24264 | + | 5.61642i | −0.205908 | + | 0.356643i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −2.03553 | − | 3.52565i | −0.128738 | − | 0.222982i | ||||
\(251\) | −26.1421 | −1.65008 | −0.825038 | − | 0.565077i | \(-0.808847\pi\) | ||||
−0.825038 | + | 0.565077i | \(0.808847\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.24264 | −0.203863 | ||||||||
\(254\) | 0.621320 | + | 1.07616i | 0.0389851 | + | 0.0675242i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 12.5858 | + | 21.7992i | 0.785080 | + | 1.35980i | 0.928951 | + | 0.370202i | \(0.120711\pi\) |
−0.143872 | + | 0.989596i | \(0.545955\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 15.6569 | + | 20.1903i | 0.972870 | + | 1.25456i | ||||
\(260\) | −0.485281 | −0.0300959 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −7.65685 | + | 13.2621i | −0.473042 | + | 0.819333i | ||||
\(263\) | 4.65685 | − | 8.06591i | 0.287154 | − | 0.497365i | −0.685975 | − | 0.727625i | \(-0.740624\pi\) |
0.973129 | + | 0.230260i | \(0.0739575\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.14214 | 0.131590 | ||||||||
\(266\) | −0.828427 | + | 2.02922i | −0.0507941 | + | 0.124420i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 6.74264 | + | 11.6786i | 0.411872 | + | 0.713384i | ||||
\(269\) | −4.03553 | + | 6.98975i | −0.246051 | + | 0.426173i | −0.962427 | − | 0.271542i | \(-0.912466\pi\) |
0.716376 | + | 0.697715i | \(0.245800\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 6.65685 | + | 11.5300i | 0.404375 | + | 0.700398i | 0.994249 | − | 0.107098i | \(-0.0341557\pi\) |
−0.589873 | + | 0.807496i | \(0.700822\pi\) | |||||||
\(272\) | 2.17157 | 0.131671 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.82843 | −0.291696 | ||||||||
\(275\) | −2.41421 | − | 4.18154i | −0.145583 | − | 0.252156i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.41421 | − | 5.91359i | 0.205140 | − | 0.355313i | −0.745037 | − | 0.667023i | \(-0.767568\pi\) |
0.950177 | + | 0.311710i | \(0.100902\pi\) | |||||||
\(278\) | −3.00000 | − | 5.19615i | −0.179928 | − | 0.311645i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.671573 | − | 0.866025i | −0.0401342 | − | 0.0517549i | ||||
\(281\) | −2.51472 | −0.150016 | −0.0750078 | − | 0.997183i | \(-0.523898\pi\) | ||||
−0.0750078 | + | 0.997183i | \(0.523898\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.928932 | − | 1.60896i | 0.0552193 | − | 0.0956426i | −0.837094 | − | 0.547058i | \(-0.815748\pi\) |
0.892314 | + | 0.451416i | \(0.149081\pi\) | |||||||
\(284\) | 6.65685 | − | 11.5300i | 0.395012 | − | 0.684180i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −1.17157 | −0.0692766 | ||||||||
\(287\) | 12.2071 | − | 1.67050i | 0.720563 | − | 0.0986067i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 6.14214 | + | 10.6385i | 0.361302 | + | 0.625794i | ||||
\(290\) | −0.585786 | + | 1.01461i | −0.0343986 | + | 0.0595801i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 2.41421 | + | 4.18154i | 0.141281 | + | 0.244706i | ||||
\(293\) | −12.8284 | −0.749445 | −0.374722 | − | 0.927137i | \(-0.622262\pi\) | ||||
−0.374722 | + | 0.927137i | \(0.622262\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.51472 | 0.0881903 | ||||||||
\(296\) | 4.82843 | + | 8.36308i | 0.280647 | + | 0.486094i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −5.65685 | + | 9.79796i | −0.327693 | + | 0.567581i | ||||
\(299\) | 1.89949 | + | 3.29002i | 0.109851 | + | 0.190267i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 7.41421 | − | 1.01461i | 0.427348 | − | 0.0584813i | ||||
\(302\) | −1.24264 | −0.0715059 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.414214 | + | 0.717439i | −0.0237568 | + | 0.0411479i | ||||
\(305\) | 0.328427 | − | 0.568852i | 0.0188057 | − | 0.0325724i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −34.6274 | −1.97629 | −0.988146 | − | 0.153520i | \(-0.950939\pi\) | ||||
−0.988146 | + | 0.153520i | \(0.950939\pi\) | |||||||
\(308\) | −1.62132 | − | 2.09077i | −0.0923833 | − | 0.119133i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1.34315 | − | 2.32640i | −0.0762856 | − | 0.132130i | ||||
\(311\) | 5.10660 | − | 8.84489i | 0.289569 | − | 0.501548i | −0.684138 | − | 0.729353i | \(-0.739821\pi\) |
0.973707 | + | 0.227805i | \(0.0731548\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 14.6569 | + | 25.3864i | 0.828454 | + | 1.43493i | 0.899250 | + | 0.437434i | \(0.144113\pi\) |
−0.0707960 | + | 0.997491i | \(0.522554\pi\) | |||||||
\(314\) | 9.17157 | 0.517582 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 4.75736 | 0.267622 | ||||||||
\(317\) | −16.9350 | − | 29.3323i | −0.951166 | − | 1.64747i | −0.742908 | − | 0.669394i | \(-0.766554\pi\) |
−0.208258 | − | 0.978074i | \(-0.566779\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.41421 | + | 2.44949i | −0.0791808 | + | 0.137145i | ||||
\(320\) | −0.207107 | − | 0.358719i | −0.0115776 | − | 0.0200530i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −3.24264 | + | 7.94282i | −0.180705 | + | 0.442636i | ||||
\(323\) | 1.79899 | 0.100098 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.82843 | + | 4.89898i | −0.156893 | + | 0.271746i | ||||
\(326\) | 1.50000 | − | 2.59808i | 0.0830773 | − | 0.143894i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 4.65685 | 0.257132 | ||||||||
\(329\) | 14.9853 | + | 19.3242i | 0.826165 | + | 1.06538i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.15685 | − | 5.46783i | −0.173516 | − | 0.300539i | 0.766130 | − | 0.642685i | \(-0.222180\pi\) |
−0.939647 | + | 0.342146i | \(0.888846\pi\) | |||||||
\(332\) | −4.91421 | + | 8.51167i | −0.269703 | + | 0.467138i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 8.24264 | + | 14.2767i | 0.451017 | + | 0.781185i | ||||
\(335\) | −5.58579 | −0.305184 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 9.51472 | 0.518300 | 0.259150 | − | 0.965837i | \(-0.416558\pi\) | ||||
0.259150 | + | 0.965837i | \(0.416558\pi\) | |||||||
\(338\) | −5.81371 | − | 10.0696i | −0.316224 | − | 0.547716i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.449747 | + | 0.778985i | −0.0243910 | + | 0.0422464i | ||||
\(341\) | −3.24264 | − | 5.61642i | −0.175599 | − | 0.304146i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −17.0000 | + | 7.34847i | −0.917914 | + | 0.396780i | ||||
\(344\) | 2.82843 | 0.152499 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 6.07107 | − | 10.5154i | 0.326383 | − | 0.565311i | ||||
\(347\) | 2.42893 | − | 4.20703i | 0.130392 | − | 0.225845i | −0.793436 | − | 0.608654i | \(-0.791710\pi\) |
0.923828 | + | 0.382809i | \(0.125043\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −15.7279 | −0.841896 | −0.420948 | − | 0.907085i | \(-0.638303\pi\) | ||||
−0.420948 | + | 0.907085i | \(0.638303\pi\) | |||||||
\(350\) | −12.6569 | + | 1.73205i | −0.676537 | + | 0.0925820i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.500000 | − | 0.866025i | −0.0266501 | − | 0.0461593i | ||||
\(353\) | −8.41421 | + | 14.5738i | −0.447843 | + | 0.775688i | −0.998245 | − | 0.0592122i | \(-0.981141\pi\) |
0.550402 | + | 0.834900i | \(0.314474\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2.75736 | + | 4.77589i | 0.146345 | + | 0.253478i | ||||
\(356\) | −12.4853 | −0.661719 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −3.17157 | −0.167623 | ||||||||
\(359\) | −4.24264 | − | 7.34847i | −0.223918 | − | 0.387837i | 0.732076 | − | 0.681223i | \(-0.238551\pi\) |
−0.955994 | + | 0.293385i | \(0.905218\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.15685 | − | 15.8601i | 0.481940 | − | 0.834744i | ||||
\(362\) | −1.17157 | − | 2.02922i | −0.0615765 | − | 0.106654i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −1.17157 | + | 2.86976i | −0.0614071 | + | 0.150416i | ||||
\(365\) | −2.00000 | −0.104685 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.75736 | + | 4.77589i | −0.143933 | + | 0.249299i | −0.928974 | − | 0.370144i | \(-0.879308\pi\) |
0.785041 | + | 0.619443i | \(0.212642\pi\) | |||||||
\(368\) | −1.62132 | + | 2.80821i | −0.0845172 | + | 0.146388i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −4.00000 | −0.207950 | ||||||||
\(371\) | 5.17157 | − | 12.6677i | 0.268495 | − | 0.657675i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 7.86396 | + | 13.6208i | 0.407180 | + | 0.705257i | 0.994573 | − | 0.104045i | \(-0.0331787\pi\) |
−0.587392 | + | 0.809302i | \(0.699845\pi\) | |||||||
\(374\) | −1.08579 | + | 1.88064i | −0.0561447 | + | 0.0972454i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 4.62132 | + | 8.00436i | 0.238326 | + | 0.412793i | ||||
\(377\) | 3.31371 | 0.170665 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 19.3431 | 0.993591 | 0.496795 | − | 0.867868i | \(-0.334510\pi\) | ||||
0.496795 | + | 0.867868i | \(0.334510\pi\) | |||||||
\(380\) | −0.171573 | − | 0.297173i | −0.00880150 | − | 0.0152447i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 4.65685 | − | 8.06591i | 0.238265 | − | 0.412688i | ||||
\(383\) | −17.1421 | − | 29.6910i | −0.875922 | − | 1.51714i | −0.855777 | − | 0.517345i | \(-0.826921\pi\) |
−0.0201451 | − | 0.999797i | \(-0.506413\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.08579 | − | 0.148586i | 0.0553368 | − | 0.00757267i | ||||
\(386\) | 9.17157 | 0.466821 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 5.08579 | − | 8.80884i | 0.258192 | − | 0.447201i | ||||
\(389\) | −0.863961 | + | 1.49642i | −0.0438046 | + | 0.0758717i | −0.887096 | − | 0.461584i | \(-0.847281\pi\) |
0.843292 | + | 0.537456i | \(0.180615\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 7.04163 | 0.356111 | ||||||||
\(392\) | −6.74264 | + | 1.88064i | −0.340555 | + | 0.0949865i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 1.75736 | + | 3.04384i | 0.0885345 | + | 0.153346i | ||||
\(395\) | −0.985281 | + | 1.70656i | −0.0495749 | + | 0.0858662i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −6.24264 | − | 10.8126i | −0.313309 | − | 0.542667i | 0.665767 | − | 0.746159i | \(-0.268104\pi\) |
−0.979077 | + | 0.203492i | \(0.934771\pi\) | |||||||
\(398\) | 8.34315 | 0.418204 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.82843 | −0.241421 | ||||||||
\(401\) | −7.89949 | − | 13.6823i | −0.394482 | − | 0.683263i | 0.598553 | − | 0.801083i | \(-0.295743\pi\) |
−0.993035 | + | 0.117820i | \(0.962409\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.79899 | + | 6.58004i | −0.189241 | + | 0.327775i | ||||
\(404\) | −7.07107 | − | 12.2474i | −0.351799 | − | 0.609333i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 4.58579 | + | 5.91359i | 0.227589 | + | 0.293487i | ||||
\(407\) | −9.65685 | −0.478672 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 5.72792 | − | 9.92105i | 0.283228 | − | 0.490564i | −0.688950 | − | 0.724809i | \(-0.741928\pi\) |
0.972178 | + | 0.234244i | \(0.0752615\pi\) | |||||||
\(410\) | −0.964466 | + | 1.67050i | −0.0476316 | + | 0.0825003i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −9.17157 | −0.451851 | ||||||||
\(413\) | 3.65685 | − | 8.95743i | 0.179942 | − | 0.440766i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.03553 | − | 3.52565i | −0.0999204 | − | 0.173067i | ||||
\(416\) | −0.585786 | + | 1.01461i | −0.0287205 | + | 0.0497454i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.414214 | − | 0.717439i | −0.0202598 | − | 0.0350911i | ||||
\(419\) | 25.7990 | 1.26036 | 0.630182 | − | 0.776448i | \(-0.282980\pi\) | ||||
0.630182 | + | 0.776448i | \(0.282980\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 14.8284 | 0.722693 | 0.361347 | − | 0.932432i | \(-0.382317\pi\) | ||||
0.361347 | + | 0.932432i | \(0.382317\pi\) | |||||||
\(422\) | 7.41421 | + | 12.8418i | 0.360918 | + | 0.625129i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 2.58579 | − | 4.47871i | 0.125577 | − | 0.217506i | ||||
\(425\) | 5.24264 | + | 9.08052i | 0.254305 | + | 0.440470i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2.57107 | − | 3.31552i | −0.124423 | − | 0.160449i | ||||
\(428\) | 16.6569 | 0.805139 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.585786 | + | 1.01461i | −0.0282491 | + | 0.0489289i | ||||
\(431\) | −9.58579 | + | 16.6031i | −0.461731 | + | 0.799742i | −0.999047 | − | 0.0436391i | \(-0.986105\pi\) |
0.537316 | + | 0.843381i | \(0.319438\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −26.6569 | −1.28105 | −0.640523 | − | 0.767939i | \(-0.721283\pi\) | ||||
−0.640523 | + | 0.767939i | \(0.721283\pi\) | |||||||
\(434\) | −17.0000 | + | 2.32640i | −0.816026 | + | 0.111671i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.62132 | − | 2.80821i | −0.0776472 | − | 0.134489i | ||||
\(437\) | −1.34315 | + | 2.32640i | −0.0642514 | + | 0.111287i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −1.69239 | − | 2.93130i | −0.0807733 | − | 0.139903i | 0.822809 | − | 0.568318i | \(-0.192406\pi\) |
−0.903582 | + | 0.428415i | \(0.859072\pi\) | |||||||
\(440\) | 0.414214 | 0.0197469 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.54416 | 0.121013 | ||||||||
\(443\) | 7.17157 | + | 12.4215i | 0.340732 | + | 0.590165i | 0.984569 | − | 0.174998i | \(-0.0559919\pi\) |
−0.643837 | + | 0.765163i | \(0.722659\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.58579 | − | 4.47871i | 0.122578 | − | 0.212311i | ||||
\(446\) | −6.65685 | − | 11.5300i | −0.315211 | − | 0.545962i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2.62132 | + | 0.358719i | −0.123846 | + | 0.0169479i | ||||
\(449\) | −23.1127 | −1.09076 | −0.545378 | − | 0.838190i | \(-0.683614\pi\) | ||||
−0.545378 | + | 0.838190i | \(0.683614\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.32843 | + | 4.03295i | −0.109641 | + | 0.189904i | ||||
\(452\) | 1.82843 | − | 3.16693i | 0.0860020 | − | 0.148960i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 12.3137 | 0.577911 | ||||||||
\(455\) | −0.786797 | − | 1.01461i | −0.0368856 | − | 0.0475657i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −17.3137 | − | 29.9882i | −0.809901 | − | 1.40279i | −0.912932 | − | 0.408112i | \(-0.866187\pi\) |
0.103031 | − | 0.994678i | \(-0.467146\pi\) | |||||||
\(458\) | −5.65685 | + | 9.79796i | −0.264327 | + | 0.457829i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.671573 | − | 1.16320i | −0.0313122 | − | 0.0542344i | ||||
\(461\) | 23.6569 | 1.10181 | 0.550905 | − | 0.834568i | \(-0.314283\pi\) | ||||
0.550905 | + | 0.834568i | \(0.314283\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 23.1127 | 1.07414 | 0.537069 | − | 0.843538i | \(-0.319531\pi\) | ||||
0.537069 | + | 0.843538i | \(0.319531\pi\) | |||||||
\(464\) | 1.41421 | + | 2.44949i | 0.0656532 | + | 0.113715i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −4.15685 | + | 7.19988i | −0.192563 | + | 0.333528i | ||||
\(467\) | −1.48528 | − | 2.57258i | −0.0687306 | − | 0.119045i | 0.829612 | − | 0.558340i | \(-0.188562\pi\) |
−0.898343 | + | 0.439295i | \(0.855228\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −13.4853 | + | 33.0321i | −0.622692 | + | 1.52528i | ||||
\(470\) | −3.82843 | −0.176592 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1.82843 | − | 3.16693i | 0.0841602 | − | 0.145770i | ||||
\(473\) | −1.41421 | + | 2.44949i | −0.0650256 | + | 0.112628i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.00000 | −0.183533 | ||||||||
\(476\) | 3.52082 | + | 4.54026i | 0.161376 | + | 0.208102i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −10.0000 | − | 17.3205i | −0.457389 | − | 0.792222i | ||||
\(479\) | 2.58579 | − | 4.47871i | 0.118148 | − | 0.204638i | −0.800886 | − | 0.598817i | \(-0.795638\pi\) |
0.919034 | + | 0.394179i | \(0.128971\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 5.65685 | + | 9.79796i | 0.257930 | + | 0.446748i | ||||
\(482\) | −24.9706 | −1.13738 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.00000 | 0.0454545 | ||||||||
\(485\) | 2.10660 | + | 3.64874i | 0.0956559 | + | 0.165681i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 10.6569 | − | 18.4582i | 0.482908 | − | 0.836421i | −0.516899 | − | 0.856046i | \(-0.672914\pi\) |
0.999807 | + | 0.0196248i | \(0.00624716\pi\) | |||||||
\(488\) | −0.792893 | − | 1.37333i | −0.0358926 | − | 0.0621678i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.721825 | − | 2.80821i | 0.0326087 | − | 0.126862i | ||||
\(491\) | 15.6274 | 0.705255 | 0.352628 | − | 0.935764i | \(-0.385288\pi\) | ||||
0.352628 | + | 0.935764i | \(0.385288\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 3.07107 | − | 5.31925i | 0.138314 | − | 0.239567i | ||||
\(494\) | −0.485281 | + | 0.840532i | −0.0218338 | + | 0.0378173i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −6.48528 | −0.291198 | ||||||||
\(497\) | 34.8995 | − | 4.77589i | 1.56546 | − | 0.214228i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −7.17157 | − | 12.4215i | −0.321044 | − | 0.556064i | 0.659660 | − | 0.751564i | \(-0.270700\pi\) |
−0.980704 | + | 0.195500i | \(0.937367\pi\) | |||||||
\(500\) | 2.03553 | − | 3.52565i | 0.0910318 | − | 0.157672i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −13.0711 | − | 22.6398i | −0.583390 | − | 1.01046i | ||||
\(503\) | −8.97056 | −0.399978 | −0.199989 | − | 0.979798i | \(-0.564091\pi\) | ||||
−0.199989 | + | 0.979798i | \(0.564091\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 5.85786 | 0.260672 | ||||||||
\(506\) | −1.62132 | − | 2.80821i | −0.0720765 | − | 0.124840i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.621320 | + | 1.07616i | −0.0275666 | + | 0.0477468i | ||||
\(509\) | 12.5858 | + | 21.7992i | 0.557855 | + | 0.966234i | 0.997675 | + | 0.0681476i | \(0.0217089\pi\) |
−0.439820 | + | 0.898086i | \(0.644958\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −4.82843 | + | 11.8272i | −0.213597 | + | 0.523204i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −12.5858 | + | 21.7992i | −0.555135 | + | 0.961522i | ||||
\(515\) | 1.89949 | − | 3.29002i | 0.0837017 | − | 0.144976i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −9.24264 | −0.406491 | ||||||||
\(518\) | −9.65685 | + | 23.6544i | −0.424298 | + | 1.03931i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.242641 | − | 0.420266i | −0.0106405 | − | 0.0184299i | ||||
\(521\) | 14.6569 | − | 25.3864i | 0.642128 | − | 1.11220i | −0.342828 | − | 0.939398i | \(-0.611385\pi\) |
0.984957 | − | 0.172801i | \(-0.0552818\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 15.7279 | + | 27.2416i | 0.687734 | + | 1.19119i | 0.972569 | + | 0.232614i | \(0.0747278\pi\) |
−0.284835 | + | 0.958577i | \(0.591939\pi\) | |||||||
\(524\) | −15.3137 | −0.668982 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 9.31371 | 0.406097 | ||||||||
\(527\) | 7.04163 | + | 12.1965i | 0.306738 | + | 0.531286i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 6.24264 | − | 10.8126i | 0.271419 | − | 0.470112i | ||||
\(530\) | 1.07107 | + | 1.85514i | 0.0465242 | + | 0.0805823i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −2.17157 | + | 0.297173i | −0.0941496 | + | 0.0128841i | ||||
\(533\) | 5.45584 | 0.236319 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −3.44975 | + | 5.97514i | −0.149146 | + | 0.258328i | ||||
\(536\) | −6.74264 | + | 11.6786i | −0.291238 | + | 0.504439i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −8.07107 | −0.347968 | ||||||||
\(539\) | 1.74264 | − | 6.77962i | 0.0750608 | − | 0.292019i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2.72183 | + | 4.71434i | 0.117020 | + | 0.202685i | 0.918586 | − | 0.395222i | \(-0.129332\pi\) |
−0.801565 | + | 0.597907i | \(0.795999\pi\) | |||||||
\(542\) | −6.65685 | + | 11.5300i | −0.285936 | + | 0.495256i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1.08579 | + | 1.88064i | 0.0465527 | + | 0.0806317i | ||||
\(545\) | 1.34315 | 0.0575340 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −36.1421 | −1.54533 | −0.772663 | − | 0.634816i | \(-0.781076\pi\) | ||||
−0.772663 | + | 0.634816i | \(0.781076\pi\) | |||||||
\(548\) | −2.41421 | − | 4.18154i | −0.103130 | − | 0.178627i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.41421 | − | 4.18154i | 0.102942 | − | 0.178301i | ||||
\(551\) | 1.17157 | + | 2.02922i | 0.0499107 | + | 0.0864478i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 7.71320 | + | 9.94655i | 0.327999 | + | 0.422970i | ||||
\(554\) | 6.82843 | 0.290112 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 3.00000 | − | 5.19615i | 0.127228 | − | 0.220366i | ||||
\(557\) | −2.24264 | + | 3.88437i | −0.0950237 | + | 0.164586i | −0.909619 | − | 0.415445i | \(-0.863626\pi\) |
0.814595 | + | 0.580030i | \(0.196959\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 3.31371 | 0.140155 | ||||||||
\(560\) | 0.414214 | − | 1.01461i | 0.0175037 | − | 0.0428752i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −1.25736 | − | 2.17781i | −0.0530385 | − | 0.0918654i | ||||
\(563\) | 12.8284 | − | 22.2195i | 0.540654 | − | 0.936440i | −0.458213 | − | 0.888842i | \(-0.651510\pi\) |
0.998867 | − | 0.0475973i | \(-0.0151564\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.757359 | + | 1.31178i | 0.0318623 | + | 0.0551872i | ||||
\(566\) | 1.85786 | 0.0780919 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 13.3137 | 0.558631 | ||||||||
\(569\) | −11.0000 | − | 19.0526i | −0.461144 | − | 0.798725i | 0.537874 | − | 0.843025i | \(-0.319228\pi\) |
−0.999018 | + | 0.0443003i | \(0.985894\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 10.8284 | − | 18.7554i | 0.453156 | − | 0.784888i | −0.545424 | − | 0.838160i | \(-0.683632\pi\) |
0.998580 | + | 0.0532715i | \(0.0169649\pi\) | |||||||
\(572\) | −0.585786 | − | 1.01461i | −0.0244930 | − | 0.0424231i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 7.55025 | + | 9.73641i | 0.315141 | + | 0.406390i | ||||
\(575\) | −15.6569 | −0.652936 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −2.57107 | + | 4.45322i | −0.107035 | + | 0.185390i | −0.914568 | − | 0.404433i | \(-0.867469\pi\) |
0.807533 | + | 0.589823i | \(0.200802\pi\) | |||||||
\(578\) | −6.14214 | + | 10.6385i | −0.255479 | + | 0.442503i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −1.17157 | −0.0486469 | ||||||||
\(581\) | −25.7635 | + | 3.52565i | −1.06885 | + | 0.146269i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2.58579 | + | 4.47871i | 0.107092 | + | 0.185489i | ||||
\(584\) | −2.41421 | + | 4.18154i | −0.0999009 | + | 0.173033i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −6.41421 | − | 11.1097i | −0.264969 | − | 0.458939i | ||||
\(587\) | 28.1421 | 1.16155 | 0.580775 | − | 0.814064i | \(-0.302750\pi\) | ||||
0.580775 | + | 0.814064i | \(0.302750\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −5.37258 | −0.221373 | ||||||||
\(590\) | 0.757359 | + | 1.31178i | 0.0311800 | + | 0.0540053i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −4.82843 | + | 8.36308i | −0.198447 | + | 0.343721i | ||||
\(593\) | 19.9706 | + | 34.5900i | 0.820093 | + | 1.42044i | 0.905613 | + | 0.424106i | \(0.139412\pi\) |
−0.0855199 | + | 0.996336i | \(0.527255\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2.35786 | + | 0.322666i | −0.0966630 | + | 0.0132280i | ||||
\(596\) | −11.3137 | −0.463428 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −1.89949 | + | 3.29002i | −0.0776761 | + | 0.134539i | ||||
\(599\) | 14.5208 | − | 25.1508i | 0.593304 | − | 1.02763i | −0.400479 | − | 0.916306i | \(-0.631156\pi\) |
0.993784 | − | 0.111328i | \(-0.0355103\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −20.0000 | −0.815817 | −0.407909 | − | 0.913023i | \(-0.633742\pi\) | ||||
−0.407909 | + | 0.913023i | \(0.633742\pi\) | |||||||
\(602\) | 4.58579 | + | 5.91359i | 0.186903 | + | 0.241020i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.621320 | − | 1.07616i | −0.0252812 | − | 0.0437883i | ||||
\(605\) | −0.207107 | + | 0.358719i | −0.00842009 | + | 0.0145840i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −23.1066 | − | 40.0218i | −0.937868 | − | 1.62444i | −0.769438 | − | 0.638721i | \(-0.779464\pi\) |
−0.168430 | − | 0.985714i | \(-0.553870\pi\) | |||||||
\(608\) | −0.828427 | −0.0335972 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.656854 | 0.0265953 | ||||||||
\(611\) | 5.41421 | + | 9.37769i | 0.219036 | + | 0.379381i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 15.4497 | − | 26.7597i | 0.624009 | − | 1.08082i | −0.364722 | − | 0.931116i | \(-0.618836\pi\) |
0.988732 | − | 0.149700i | \(-0.0478307\pi\) | |||||||
\(614\) | −17.3137 | − | 29.9882i | −0.698724 | − | 1.21023i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.00000 | − | 2.44949i | 0.0402911 | − | 0.0986928i | ||||
\(617\) | 24.4853 | 0.985740 | 0.492870 | − | 0.870103i | \(-0.335948\pi\) | ||||
0.492870 | + | 0.870103i | \(0.335948\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −0.257359 | + | 0.445759i | −0.0103441 | + | 0.0179166i | −0.871151 | − | 0.491015i | \(-0.836626\pi\) |
0.860807 | + | 0.508932i | \(0.169959\pi\) | |||||||
\(620\) | 1.34315 | − | 2.32640i | 0.0539420 | − | 0.0934303i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 10.2132 | 0.409512 | ||||||||
\(623\) | −20.2426 | − | 26.1039i | −0.811004 | − | 1.04583i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −11.2279 | − | 19.4473i | −0.449117 | − | 0.777893i | ||||
\(626\) | −14.6569 | + | 25.3864i | −0.585806 | + | 1.01465i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 4.58579 | + | 7.94282i | 0.182993 | + | 0.316953i | ||||
\(629\) | 20.9706 | 0.836151 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −1.02944 | −0.0409812 | −0.0204906 | − | 0.999790i | \(-0.506523\pi\) | ||||
−0.0204906 | + | 0.999790i | \(0.506523\pi\) | |||||||
\(632\) | 2.37868 | + | 4.11999i | 0.0946188 | + | 0.163885i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 16.9350 | − | 29.3323i | 0.672576 | − | 1.16494i | ||||
\(635\) | −0.257359 | − | 0.445759i | −0.0102130 | − | 0.0176894i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −7.89949 | + | 2.20330i | −0.312989 | + | 0.0872981i | ||||
\(638\) | −2.82843 | −0.111979 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.207107 | − | 0.358719i | 0.00818661 | − | 0.0141796i | ||||
\(641\) | −13.6569 | + | 23.6544i | −0.539413 | + | 0.934291i | 0.459522 | + | 0.888166i | \(0.348021\pi\) |
−0.998936 | + | 0.0461251i | \(0.985313\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 17.6569 | 0.696318 | 0.348159 | − | 0.937435i | \(-0.386807\pi\) | ||||
0.348159 | + | 0.937435i | \(0.386807\pi\) | |||||||
\(644\) | −8.50000 | + | 1.16320i | −0.334947 | + | 0.0458364i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.899495 | + | 1.55797i | 0.0353902 | + | 0.0612975i | ||||
\(647\) | 21.3492 | − | 36.9780i | 0.839325 | − | 1.45375i | −0.0511343 | − | 0.998692i | \(-0.516284\pi\) |
0.890460 | − | 0.455062i | \(-0.150383\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.82843 | + | 3.16693i | 0.0717720 | + | 0.124313i | ||||
\(650\) | −5.65685 | −0.221880 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 3.00000 | 0.117489 | ||||||||
\(653\) | 22.1777 | + | 38.4129i | 0.867879 | + | 1.50321i | 0.864160 | + | 0.503218i | \(0.167851\pi\) |
0.00371972 | + | 0.999993i | \(0.498816\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 3.17157 | − | 5.49333i | 0.123924 | − | 0.214642i | ||||
\(656\) | 2.32843 | + | 4.03295i | 0.0909098 | + | 0.157460i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −9.24264 | + | 22.6398i | −0.360316 | + | 0.882589i | ||||
\(659\) | 36.9411 | 1.43902 | 0.719511 | − | 0.694481i | \(-0.244366\pi\) | ||||
0.719511 | + | 0.694481i | \(0.244366\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 19.4853 | − | 33.7495i | 0.757890 | − | 1.31270i | −0.186035 | − | 0.982543i | \(-0.559564\pi\) |
0.943925 | − | 0.330160i | \(-0.107103\pi\) | |||||||
\(662\) | 3.15685 | − | 5.46783i | 0.122695 | − | 0.212513i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −9.82843 | −0.381417 | ||||||||
\(665\) | 0.343146 | − | 0.840532i | 0.0133066 | − | 0.0325944i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 4.58579 | + | 7.94282i | 0.177562 | + | 0.307547i | ||||
\(668\) | −8.24264 | + | 14.2767i | −0.318917 | + | 0.552381i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −2.79289 | − | 4.83743i | −0.107899 | − | 0.186886i | ||||
\(671\) | 1.58579 | 0.0612186 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 24.6274 | 0.949317 | 0.474659 | − | 0.880170i | \(-0.342572\pi\) | ||||
0.474659 | + | 0.880170i | \(0.342572\pi\) | |||||||
\(674\) | 4.75736 | + | 8.23999i | 0.183247 | + | 0.317392i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 5.81371 | − | 10.0696i | 0.223604 | − | 0.387294i | ||||
\(677\) | 21.3848 | + | 37.0395i | 0.821884 | + | 1.42354i | 0.904278 | + | 0.426945i | \(0.140410\pi\) |
−0.0823941 | + | 0.996600i | \(0.526257\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 26.6630 | − | 3.64874i | 1.02323 | − | 0.140026i | ||||
\(680\) | −0.899495 | −0.0344941 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 3.24264 | − | 5.61642i | 0.124167 | − | 0.215064i | ||||
\(683\) | 8.82843 | − | 15.2913i | 0.337810 | − | 0.585105i | −0.646210 | − | 0.763159i | \(-0.723647\pi\) |
0.984021 | + | 0.178055i | \(0.0569804\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.00000 | 0.0764161 | ||||||||
\(686\) | −14.8640 | − | 11.0482i | −0.567509 | − | 0.421822i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1.41421 | + | 2.44949i | 0.0539164 | + | 0.0933859i | ||||
\(689\) | 3.02944 | − | 5.24714i | 0.115412 | − | 0.199900i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −14.5711 | − | 25.2378i | −0.554310 | − | 0.960092i | −0.997957 | − | 0.0638908i | \(-0.979649\pi\) |
0.443647 | − | 0.896201i | \(-0.353684\pi\) | |||||||
\(692\) | 12.1421 | 0.461575 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 4.85786 | 0.184402 | ||||||||
\(695\) | 1.24264 | + | 2.15232i | 0.0471360 | + | 0.0816420i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 5.05635 | − | 8.75785i | 0.191523 | − | 0.331727i | ||||
\(698\) | −7.86396 | − | 13.6208i | −0.297655 | − | 0.515554i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −7.82843 | − | 10.0951i | −0.295887 | − | 0.381560i | ||||
\(701\) | −28.1421 | −1.06291 | −0.531457 | − | 0.847085i | \(-0.678355\pi\) | ||||
−0.531457 | + | 0.847085i | \(0.678355\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −4.00000 | + | 6.92820i | −0.150863 | + | 0.261302i | ||||
\(704\) | 0.500000 | − | 0.866025i | 0.0188445 | − | 0.0326396i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −16.8284 | −0.633346 | ||||||||
\(707\) | 14.1421 | − | 34.6410i | 0.531870 | − | 1.30281i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.92893 | − | 3.34101i | −0.0724426 | − | 0.125474i | 0.827529 | − | 0.561423i | \(-0.189746\pi\) |
−0.899971 | + | 0.435949i | \(0.856413\pi\) | |||||||
\(710\) | −2.75736 | + | 4.77589i | −0.103482 | + | 0.179236i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −6.24264 | − | 10.8126i | −0.233953 | − | 0.405218i | ||||
\(713\) | −21.0294 | −0.787559 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.485281 | 0.0181485 | ||||||||
\(716\) | −1.58579 | − | 2.74666i | −0.0592636 | − | 0.102648i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 4.24264 | − | 7.34847i | 0.158334 | − | 0.274242i | ||||
\(719\) | −8.10660 | − | 14.0410i | −0.302325 | − | 0.523643i | 0.674337 | − | 0.738424i | \(-0.264430\pi\) |
−0.976662 | + | 0.214781i | \(0.931096\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −14.8701 | − | 19.1757i | −0.553790 | − | 0.714139i | ||||
\(722\) | 18.3137 | 0.681566 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 1.17157 | − | 2.02922i | 0.0435412 | − | 0.0754155i | ||||
\(725\) | −6.82843 | + | 11.8272i | −0.253601 | + | 0.439251i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −32.4853 | −1.20481 | −0.602406 | − | 0.798190i | \(-0.705791\pi\) | ||||
−0.602406 | + | 0.798190i | \(0.705791\pi\) | |||||||
\(728\) | −3.07107 | + | 0.420266i | −0.113821 | + | 0.0155761i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −1.00000 | − | 1.73205i | −0.0370117 | − | 0.0641061i | ||||
\(731\) | 3.07107 | − | 5.31925i | 0.113588 | − | 0.196739i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 7.37868 | + | 12.7802i | 0.272538 | + | 0.472049i | 0.969511 | − | 0.245048i | \(-0.0788037\pi\) |
−0.696973 | + | 0.717097i | \(0.745470\pi\) | |||||||
\(734\) | −5.51472 | −0.203552 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.24264 | −0.119525 | ||||||||
\(737\) | −6.74264 | − | 11.6786i | −0.248368 | − | 0.430187i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 17.0000 | − | 29.4449i | 0.625355 | − | 1.08315i | −0.363117 | − | 0.931744i | \(-0.618287\pi\) |
0.988472 | − | 0.151403i | \(-0.0483792\pi\) | |||||||
\(740\) | −2.00000 | − | 3.46410i | −0.0735215 | − | 0.127343i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 13.5563 | − | 1.85514i | 0.497669 | − | 0.0681045i | ||||
\(743\) | 13.6569 | 0.501021 | 0.250511 | − | 0.968114i | \(-0.419401\pi\) | ||||
0.250511 | + | 0.968114i | \(0.419401\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 2.34315 | − | 4.05845i | 0.0858462 | − | 0.148690i | ||||
\(746\) | −7.86396 | + | 13.6208i | −0.287920 | + | 0.498692i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −2.17157 | −0.0794006 | ||||||||
\(749\) | 27.0061 | + | 34.8257i | 0.986781 | + | 1.27250i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −14.8995 | − | 25.8067i | −0.543690 | − | 0.941699i | −0.998688 | − | 0.0512066i | \(-0.983693\pi\) |
0.454998 | − | 0.890493i | \(-0.349640\pi\) | |||||||
\(752\) | −4.62132 | + | 8.00436i | −0.168522 | + | 0.291889i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 1.65685 | + | 2.86976i | 0.0603391 | + | 0.104510i | ||||
\(755\) | 0.514719 | 0.0187325 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 19.6569 | 0.714441 | 0.357220 | − | 0.934020i | \(-0.383725\pi\) | ||||
0.357220 | + | 0.934020i | \(0.383725\pi\) | |||||||
\(758\) | 9.67157 | + | 16.7517i | 0.351287 | + | 0.608448i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.171573 | − | 0.297173i | 0.00622360 | − | 0.0107796i | ||||
\(761\) | 12.2279 | + | 21.1794i | 0.443262 | + | 0.767752i | 0.997929 | − | 0.0643201i | \(-0.0204879\pi\) |
−0.554667 | + | 0.832072i | \(0.687155\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 3.24264 | − | 7.94282i | 0.117391 | − | 0.287549i | ||||
\(764\) | 9.31371 | 0.336958 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 17.1421 | − | 29.6910i | 0.619371 | − | 1.07278i | ||||
\(767\) | 2.14214 | − | 3.71029i | 0.0773480 | − | 0.133971i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 26.4853 | 0.955084 | 0.477542 | − | 0.878609i | \(-0.341528\pi\) | ||||
0.477542 | + | 0.878609i | \(0.341528\pi\) | |||||||
\(770\) | 0.671573 | + | 0.866025i | 0.0242018 | + | 0.0312094i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 4.58579 | + | 7.94282i | 0.165046 | + | 0.285868i | ||||
\(773\) | 15.6213 | − | 27.0569i | 0.561860 | − | 0.973170i | −0.435474 | − | 0.900201i | \(-0.643419\pi\) |
0.997334 | − | 0.0729687i | \(-0.0232473\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −15.6569 | − | 27.1185i | −0.562411 | − | 0.974124i | ||||
\(776\) | 10.1716 | 0.365138 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −1.72792 | −0.0619490 | ||||||||
\(779\) | 1.92893 | + | 3.34101i | 0.0691112 | + | 0.119704i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −6.65685 | + | 11.5300i | −0.238201 | + | 0.412576i | ||||
\(782\) | 3.52082 | + | 6.09823i | 0.125904 | + | 0.218072i | ||||