Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(244,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.244");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.c (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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{12} + 18x^{10} + 105x^{8} + 266x^{6} + 306x^{4} + 132x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3^{3} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 244.6 | ||
Root | \(1.22778i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.244 |
Dual form | 729.2.c.a.487.6 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.22889 | + | 2.12851i | 0.868960 | + | 1.50508i | 0.863061 | + | 0.505100i | \(0.168544\pi\) |
0.00589892 | + | 0.999983i | \(0.498122\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −2.02036 | + | 3.49937i | −1.01018 | + | 1.74969i | ||||
\(5\) | 1.54013 | − | 2.66759i | 0.688768 | − | 1.19298i | −0.283469 | − | 0.958981i | \(-0.591485\pi\) |
0.972237 | − | 0.233999i | \(-0.0751813\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.32933 | + | 2.30247i | 0.502441 | + | 0.870253i | 0.999996 | + | 0.00282076i | \(0.000897877\pi\) |
−0.497555 | + | 0.867432i | \(0.665769\pi\) | |||||||
\(8\) | −5.01568 | −1.77331 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 7.57064 | 2.39405 | ||||||||
\(11\) | 1.71717 | + | 2.97423i | 0.517746 | + | 0.896763i | 0.999788 | + | 0.0206144i | \(0.00656223\pi\) |
−0.482041 | + | 0.876149i | \(0.660104\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.67198 | − | 2.89595i | 0.463723 | − | 0.803192i | −0.535420 | − | 0.844586i | \(-0.679847\pi\) |
0.999143 | + | 0.0413939i | \(0.0131799\pi\) | |||||||
\(14\) | −3.26722 | + | 5.65899i | −0.873202 | + | 1.51243i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.12302 | − | 3.67717i | −0.530754 | − | 0.919293i | ||||
\(17\) | 2.57282 | 0.624000 | 0.312000 | − | 0.950082i | \(-0.399001\pi\) | ||||
0.312000 | + | 0.950082i | \(0.399001\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.09676 | −0.481030 | −0.240515 | − | 0.970645i | \(-0.577316\pi\) | ||||
−0.240515 | + | 0.970645i | \(0.577316\pi\) | |||||||
\(20\) | 6.22325 | + | 10.7790i | 1.39156 | + | 2.41026i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −4.22044 | + | 7.31002i | −0.899802 | + | 1.55850i | ||||
\(23\) | −0.267222 | + | 0.462842i | −0.0557196 | + | 0.0965093i | −0.892540 | − | 0.450969i | \(-0.851079\pi\) |
0.836820 | + | 0.547478i | \(0.184412\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.24401 | − | 3.88674i | −0.448802 | − | 0.777348i | ||||
\(26\) | 8.21874 | 1.61183 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −10.7430 | −2.03023 | ||||||||
\(29\) | −1.26545 | − | 2.19182i | −0.234988 | − | 0.407010i | 0.724281 | − | 0.689504i | \(-0.242172\pi\) |
−0.959269 | + | 0.282494i | \(0.908838\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.85735 | + | 6.68113i | −0.692801 | + | 1.19997i | 0.278116 | + | 0.960548i | \(0.410290\pi\) |
−0.970917 | + | 0.239418i | \(0.923043\pi\) | |||||||
\(32\) | 0.202245 | − | 0.350299i | 0.0357522 | − | 0.0619247i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 3.16172 | + | 5.47626i | 0.542231 | + | 0.939171i | ||||
\(35\) | 8.18939 | 1.38426 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −10.2957 | −1.69260 | −0.846298 | − | 0.532709i | \(-0.821174\pi\) | ||||
−0.846298 | + | 0.532709i | \(0.821174\pi\) | |||||||
\(38\) | −2.57670 | − | 4.46298i | −0.417996 | − | 0.723991i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −7.72481 | + | 13.3798i | −1.22140 | + | 2.11553i | ||||
\(41\) | 2.44250 | − | 4.23054i | 0.381455 | − | 0.660699i | −0.609816 | − | 0.792543i | \(-0.708756\pi\) |
0.991270 | + | 0.131844i | \(0.0420898\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.37075 | − | 2.37420i | −0.209037 | − | 0.362062i | 0.742375 | − | 0.669985i | \(-0.233699\pi\) |
−0.951411 | + | 0.307923i | \(0.900366\pi\) | |||||||
\(44\) | −13.8772 | −2.09207 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.31355 | −0.193673 | ||||||||
\(47\) | 2.82900 | + | 4.89997i | 0.412652 | + | 0.714734i | 0.995179 | − | 0.0980775i | \(-0.0312693\pi\) |
−0.582527 | + | 0.812811i | \(0.697936\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.0342555 | + | 0.0593322i | −0.00489364 | + | 0.00847603i | ||||
\(50\) | 5.51530 | − | 9.55279i | 0.779982 | − | 1.35097i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 6.75601 | + | 11.7018i | 0.936890 | + | 1.62274i | ||||
\(53\) | 6.42657 | 0.882758 | 0.441379 | − | 0.897321i | \(-0.354489\pi\) | ||||
0.441379 | + | 0.897321i | \(0.354489\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 10.5787 | 1.42643 | ||||||||
\(56\) | −6.66751 | − | 11.5485i | −0.890984 | − | 1.54323i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.11020 | − | 5.38703i | 0.408390 | − | 0.707351i | ||||
\(59\) | −0.827475 | + | 1.43323i | −0.107728 | + | 0.186590i | −0.914850 | − | 0.403795i | \(-0.867691\pi\) |
0.807121 | + | 0.590385i | \(0.201024\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −7.18610 | − | 12.4467i | −0.920086 | − | 1.59364i | −0.799279 | − | 0.600960i | \(-0.794785\pi\) |
−0.120808 | − | 0.992676i | \(-0.538548\pi\) | |||||||
\(62\) | −18.9611 | −2.40806 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.49791 | −0.937239 | ||||||||
\(65\) | −5.15013 | − | 8.92029i | −0.638795 | − | 1.10643i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.93949 | − | 5.09135i | 0.359116 | − | 0.622007i | −0.628697 | − | 0.777650i | \(-0.716412\pi\) |
0.987813 | + | 0.155643i | \(0.0497449\pi\) | |||||||
\(68\) | −5.19803 | + | 9.00325i | −0.630354 | + | 1.09180i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 10.0639 | + | 17.4312i | 1.20287 | + | 2.08343i | ||||
\(71\) | 14.8163 | 1.75837 | 0.879184 | − | 0.476483i | \(-0.158089\pi\) | ||||
0.879184 | + | 0.476483i | \(0.158089\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.88140 | 0.220201 | 0.110101 | − | 0.993920i | \(-0.464883\pi\) | ||||
0.110101 | + | 0.993920i | \(0.464883\pi\) | |||||||
\(74\) | −12.6523 | − | 21.9144i | −1.47080 | − | 2.54750i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.23623 | − | 7.33736i | 0.485928 | − | 0.841653i | ||||
\(77\) | −4.56538 | + | 7.90748i | −0.520274 | + | 0.901141i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −8.59674 | − | 14.8900i | −0.967209 | − | 1.67526i | −0.703558 | − | 0.710637i | \(-0.748407\pi\) |
−0.263651 | − | 0.964618i | \(-0.584927\pi\) | |||||||
\(80\) | −13.0789 | −1.46227 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 12.0063 | 1.32588 | ||||||||
\(83\) | −1.98439 | − | 3.43707i | −0.217815 | − | 0.377267i | 0.736324 | − | 0.676629i | \(-0.236560\pi\) |
−0.954140 | + | 0.299361i | \(0.903226\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.96248 | − | 6.86321i | 0.429791 | − | 0.744420i | ||||
\(86\) | 3.36900 | − | 5.83528i | 0.363289 | − | 0.629235i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −8.61278 | − | 14.9178i | −0.918126 | − | 1.59024i | ||||
\(89\) | 5.09880 | 0.540471 | 0.270236 | − | 0.962794i | \(-0.412898\pi\) | ||||
0.270236 | + | 0.962794i | \(0.412898\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 8.89047 | 0.931974 | ||||||||
\(92\) | −1.07977 | − | 1.87022i | −0.112574 | − | 0.194984i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −6.95308 | + | 12.0431i | −0.717156 | + | 1.24215i | ||||
\(95\) | −3.22929 | + | 5.59330i | −0.331318 | + | 0.573860i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.31594 | + | 9.20748i | 0.539752 | + | 0.934878i | 0.998917 | + | 0.0465267i | \(0.0148153\pi\) |
−0.459165 | + | 0.888351i | \(0.651851\pi\) | |||||||
\(98\) | −0.168385 | −0.0170095 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 18.1349 | 1.81349 | ||||||||
\(101\) | −2.82904 | − | 4.90005i | −0.281500 | − | 0.487573i | 0.690254 | − | 0.723567i | \(-0.257499\pi\) |
−0.971755 | + | 0.235994i | \(0.924165\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −5.18527 | + | 8.98115i | −0.510920 | + | 0.884939i | 0.489000 | + | 0.872284i | \(0.337362\pi\) |
−0.999920 | + | 0.0126554i | \(0.995972\pi\) | |||||||
\(104\) | −8.38611 | + | 14.5252i | −0.822326 | + | 1.42431i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 7.89758 | + | 13.6790i | 0.767081 | + | 1.32862i | ||||
\(107\) | −14.2457 | −1.37719 | −0.688594 | − | 0.725147i | \(-0.741772\pi\) | ||||
−0.688594 | + | 0.725147i | \(0.741772\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.76064 | 0.551769 | 0.275884 | − | 0.961191i | \(-0.411029\pi\) | ||||
0.275884 | + | 0.961191i | \(0.411029\pi\) | |||||||
\(110\) | 13.0001 | + | 22.5168i | 1.23951 | + | 2.14689i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 5.64439 | − | 9.77638i | 0.533345 | − | 0.923781i | ||||
\(113\) | 5.70835 | − | 9.88715i | 0.536996 | − | 0.930104i | −0.462068 | − | 0.886845i | \(-0.652892\pi\) |
0.999064 | − | 0.0432598i | \(-0.0137743\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.823114 | + | 1.42568i | 0.0767558 | + | 0.132945i | ||||
\(116\) | 10.2267 | 0.949521 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −4.06752 | −0.374445 | ||||||||
\(119\) | 3.42013 | + | 5.92384i | 0.313523 | + | 0.543038i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.397348 | + | 0.688227i | −0.0361225 | + | 0.0625661i | ||||
\(122\) | 17.6619 | − | 30.5914i | 1.59904 | − | 2.76961i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −15.5865 | − | 26.9966i | −1.39971 | − | 2.42437i | ||||
\(125\) | 1.57703 | 0.141054 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.59019 | 0.229843 | 0.114921 | − | 0.993375i | \(-0.463338\pi\) | ||||
0.114921 | + | 0.993375i | \(0.463338\pi\) | |||||||
\(128\) | −9.61864 | − | 16.6600i | −0.850175 | − | 1.47255i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 12.6579 | − | 21.9242i | 1.11017 | − | 1.92288i | ||||
\(131\) | 2.20549 | − | 3.82003i | 0.192695 | − | 0.333757i | −0.753448 | − | 0.657508i | \(-0.771611\pi\) |
0.946142 | + | 0.323751i | \(0.104944\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.78730 | − | 4.82774i | −0.241689 | − | 0.418618i | ||||
\(134\) | 14.4493 | 1.24823 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −12.9044 | −1.10655 | ||||||||
\(137\) | −9.08384 | − | 15.7337i | −0.776085 | − | 1.34422i | −0.934183 | − | 0.356795i | \(-0.883869\pi\) |
0.158098 | − | 0.987423i | \(-0.449464\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.978972 | + | 1.69563i | −0.0830353 | + | 0.143821i | −0.904552 | − | 0.426363i | \(-0.859795\pi\) |
0.821517 | + | 0.570184i | \(0.193128\pi\) | |||||||
\(140\) | −16.5456 | + | 28.6578i | −1.39836 | + | 2.42202i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 18.2076 | + | 31.5365i | 1.52795 | + | 2.64649i | ||||
\(143\) | 11.4843 | 0.960364 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −7.79582 | −0.647407 | ||||||||
\(146\) | 2.31204 | + | 4.00457i | 0.191346 | + | 0.331421i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 20.8010 | − | 36.0284i | 1.70983 | − | 2.96151i | ||||
\(149\) | −3.65759 | + | 6.33514i | −0.299642 | + | 0.518995i | −0.976054 | − | 0.217528i | \(-0.930201\pi\) |
0.676412 | + | 0.736523i | \(0.263534\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.42549 | − | 4.20108i | −0.197384 | − | 0.341879i | 0.750296 | − | 0.661103i | \(-0.229911\pi\) |
−0.947679 | + | 0.319224i | \(0.896578\pi\) | |||||||
\(152\) | 10.5167 | 0.853017 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −22.4415 | −1.80839 | ||||||||
\(155\) | 11.8817 | + | 20.5796i | 0.954357 | + | 1.65300i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.738351 | + | 1.27886i | −0.0589269 | + | 0.102064i | −0.893984 | − | 0.448099i | \(-0.852101\pi\) |
0.835057 | + | 0.550163i | \(0.185435\pi\) | |||||||
\(158\) | 21.1290 | − | 36.5965i | 1.68093 | − | 2.91146i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.622969 | − | 1.07901i | −0.0492500 | − | 0.0853035i | ||||
\(161\) | −1.42091 | −0.111983 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −17.2536 | −1.35141 | −0.675703 | − | 0.737174i | \(-0.736160\pi\) | ||||
−0.675703 | + | 0.737174i | \(0.736160\pi\) | |||||||
\(164\) | 9.86949 | + | 17.0945i | 0.770678 | + | 1.33485i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.87722 | − | 8.44759i | 0.378546 | − | 0.655660i | ||||
\(167\) | −3.42018 | + | 5.92393i | −0.264662 | + | 0.458407i | −0.967475 | − | 0.252967i | \(-0.918594\pi\) |
0.702813 | + | 0.711374i | \(0.251927\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.908979 | + | 1.57440i | 0.0699214 | + | 0.121107i | ||||
\(170\) | 19.4779 | 1.49388 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 11.0776 | 0.844661 | ||||||||
\(173\) | 11.9837 | + | 20.7564i | 0.911103 | + | 1.57808i | 0.812509 | + | 0.582949i | \(0.198101\pi\) |
0.0985945 | + | 0.995128i | \(0.468565\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 5.96608 | − | 10.3335i | 0.450993 | − | 0.781143i | ||||
\(176\) | 7.29116 | − | 12.6287i | 0.549592 | − | 0.951921i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 6.26588 | + | 10.8528i | 0.469648 | + | 0.813454i | ||||
\(179\) | −20.5722 | −1.53764 | −0.768820 | − | 0.639466i | \(-0.779156\pi\) | ||||
−0.768820 | + | 0.639466i | \(0.779156\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −15.4701 | −1.14989 | −0.574943 | − | 0.818194i | \(-0.694976\pi\) | ||||
−0.574943 | + | 0.818194i | \(0.694976\pi\) | |||||||
\(182\) | 10.9254 | + | 18.9234i | 0.809848 | + | 1.40270i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.34030 | − | 2.32147i | 0.0988083 | − | 0.171141i | ||||
\(185\) | −15.8567 | + | 27.4646i | −1.16581 | + | 2.01924i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 4.41797 | + | 7.65214i | 0.323074 | + | 0.559580i | ||||
\(188\) | −22.8624 | −1.66741 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −15.8738 | −1.15161 | ||||||||
\(191\) | 5.47542 | + | 9.48371i | 0.396188 | + | 0.686217i | 0.993252 | − | 0.115976i | \(-0.0369996\pi\) |
−0.597064 | + | 0.802193i | \(0.703666\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.572426 | + | 0.991470i | −0.0412041 | + | 0.0713676i | −0.885892 | − | 0.463892i | \(-0.846453\pi\) |
0.844688 | + | 0.535259i | \(0.179786\pi\) | |||||||
\(194\) | −13.0655 | + | 22.6300i | −0.938045 | + | 1.62474i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.138417 | − | 0.239745i | −0.00988693 | − | 0.0171247i | ||||
\(197\) | −5.04195 | −0.359224 | −0.179612 | − | 0.983738i | \(-0.557484\pi\) | ||||
−0.179612 | + | 0.983738i | \(0.557484\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 13.7258 | 0.972997 | 0.486499 | − | 0.873681i | \(-0.338274\pi\) | ||||
0.486499 | + | 0.873681i | \(0.338274\pi\) | |||||||
\(200\) | 11.2552 | + | 19.4946i | 0.795866 | + | 1.37848i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 6.95320 | − | 12.0433i | 0.489225 | − | 0.847363i | ||||
\(203\) | 3.36440 | − | 5.82732i | 0.236135 | − | 0.408997i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −7.52355 | − | 13.0312i | −0.525468 | − | 0.910137i | ||||
\(206\) | −25.4886 | −1.77588 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −14.1985 | −0.984492 | ||||||||
\(209\) | −3.60050 | − | 6.23625i | −0.249052 | − | 0.431370i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.91757 | − | 5.05337i | 0.200854 | − | 0.347888i | −0.747950 | − | 0.663755i | \(-0.768962\pi\) |
0.948804 | + | 0.315866i | \(0.102295\pi\) | |||||||
\(212\) | −12.9840 | + | 22.4890i | −0.891746 | + | 1.54455i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −17.5065 | − | 30.3222i | −1.19672 | − | 2.07278i | ||||
\(215\) | −8.44451 | −0.575911 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −20.5108 | −1.39237 | ||||||||
\(218\) | 7.07922 | + | 12.2616i | 0.479465 | + | 0.830458i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −21.3728 | + | 37.0187i | −1.44095 | + | 2.49580i | ||||
\(221\) | 4.30170 | − | 7.45075i | 0.289363 | − | 0.501192i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −4.36434 | − | 7.55926i | −0.292258 | − | 0.506205i | 0.682085 | − | 0.731272i | \(-0.261073\pi\) |
−0.974343 | + | 0.225067i | \(0.927740\pi\) | |||||||
\(224\) | 1.07541 | 0.0718536 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 28.0598 | 1.86651 | ||||||||
\(227\) | −12.1413 | − | 21.0293i | −0.805844 | − | 1.39576i | −0.915720 | − | 0.401817i | \(-0.868379\pi\) |
0.109876 | − | 0.993945i | \(-0.464955\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −9.07571 | + | 15.7196i | −0.599740 | + | 1.03878i | 0.393119 | + | 0.919488i | \(0.371396\pi\) |
−0.992859 | + | 0.119293i | \(0.961937\pi\) | |||||||
\(230\) | −2.02304 | + | 3.50401i | −0.133395 | + | 0.231048i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 6.34708 | + | 10.9935i | 0.416706 | + | 0.721756i | ||||
\(233\) | 10.5380 | 0.690367 | 0.345183 | − | 0.938535i | \(-0.387817\pi\) | ||||
0.345183 | + | 0.938535i | \(0.387817\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 17.4281 | 1.13688 | ||||||||
\(236\) | −3.34360 | − | 5.79129i | −0.217650 | − | 0.376981i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −8.40597 | + | 14.5596i | −0.544878 | + | 0.943756i | ||||
\(239\) | 4.76830 | − | 8.25894i | 0.308436 | − | 0.534226i | −0.669585 | − | 0.742736i | \(-0.733528\pi\) |
0.978020 | + | 0.208509i | \(0.0668612\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.51864 | + | 6.09446i | 0.226656 | + | 0.392579i | 0.956815 | − | 0.290698i | \(-0.0938875\pi\) |
−0.730159 | + | 0.683277i | \(0.760554\pi\) | |||||||
\(242\) | −1.95320 | −0.125556 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 58.0742 | 3.71782 | ||||||||
\(245\) | 0.105516 | + | 0.182759i | 0.00674116 | + | 0.0116760i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.50574 | + | 6.07212i | −0.223065 | + | 0.386360i | ||||
\(248\) | 19.3472 | − | 33.5104i | 1.22855 | − | 2.12791i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 1.93801 | + | 3.35673i | 0.122570 | + | 0.212298i | ||||
\(251\) | −15.5870 | −0.983843 | −0.491921 | − | 0.870640i | \(-0.663705\pi\) | ||||
−0.491921 | + | 0.870640i | \(0.663705\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.83546 | −0.115395 | ||||||||
\(254\) | 3.18308 | + | 5.51325i | 0.199724 | + | 0.345932i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 16.1427 | − | 27.9599i | 1.00892 | − | 1.74750i | ||||
\(257\) | 6.09489 | − | 10.5567i | 0.380189 | − | 0.658506i | −0.610900 | − | 0.791708i | \(-0.709192\pi\) |
0.991089 | + | 0.133201i | \(0.0425257\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −13.6864 | − | 23.7055i | −0.850430 | − | 1.47299i | ||||
\(260\) | 41.6206 | 2.58120 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 10.8413 | 0.669776 | ||||||||
\(263\) | −3.44482 | − | 5.96660i | −0.212417 | − | 0.367916i | 0.740054 | − | 0.672548i | \(-0.234800\pi\) |
−0.952470 | + | 0.304632i | \(0.901467\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 9.89777 | − | 17.1434i | 0.608015 | − | 1.05311i | ||||
\(266\) | 6.85059 | − | 11.8656i | 0.420037 | − | 0.727525i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 11.8777 | + | 20.5728i | 0.725545 | + | 1.25668i | ||||
\(269\) | −7.05875 | −0.430380 | −0.215190 | − | 0.976572i | \(-0.569037\pi\) | ||||
−0.215190 | + | 0.976572i | \(0.569037\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 23.7575 | 1.44316 | 0.721581 | − | 0.692330i | \(-0.243416\pi\) | ||||
0.721581 | + | 0.692330i | \(0.243416\pi\) | |||||||
\(272\) | −5.46213 | − | 9.46070i | −0.331191 | − | 0.573639i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 22.3262 | − | 38.6701i | 1.34877 | − | 2.33614i | ||||
\(275\) | 7.70669 | − | 13.3484i | 0.464731 | − | 0.804938i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.0522319 | + | 0.0904682i | 0.00313831 | + | 0.00543571i | 0.867590 | − | 0.497280i | \(-0.165668\pi\) |
−0.864452 | + | 0.502715i | \(0.832334\pi\) | |||||||
\(278\) | −4.81221 | −0.288617 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −41.0754 | −2.45472 | ||||||||
\(281\) | 4.07610 | + | 7.06001i | 0.243160 | + | 0.421165i | 0.961613 | − | 0.274411i | \(-0.0884828\pi\) |
−0.718453 | + | 0.695576i | \(0.755149\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −11.8080 | + | 20.4520i | −0.701912 | + | 1.21575i | 0.265882 | + | 0.964006i | \(0.414337\pi\) |
−0.967794 | + | 0.251742i | \(0.918996\pi\) | |||||||
\(284\) | −29.9343 | + | 51.8477i | −1.77627 | + | 3.07659i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 14.1130 | + | 24.4444i | 0.834518 | + | 1.44543i | ||||
\(287\) | 12.9876 | 0.766634 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −10.3806 | −0.610624 | ||||||||
\(290\) | −9.58024 | − | 16.5935i | −0.562571 | − | 0.974402i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −3.80111 | + | 6.58372i | −0.222443 | + | 0.385283i | ||||
\(293\) | 10.8129 | − | 18.7285i | 0.631695 | − | 1.09413i | −0.355510 | − | 0.934672i | \(-0.615693\pi\) |
0.987205 | − | 0.159455i | \(-0.0509738\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.54884 | + | 4.41472i | 0.148399 | + | 0.257035i | ||||
\(296\) | 51.6398 | 3.00150 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −17.9792 | −1.04151 | ||||||||
\(299\) | 0.893579 | + | 1.54772i | 0.0516770 | + | 0.0895072i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.64435 | − | 6.31221i | 0.210057 | − | 0.363830i | ||||
\(302\) | 5.96135 | − | 10.3254i | 0.343037 | − | 0.594158i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 4.45146 | + | 7.71016i | 0.255309 | + | 0.442208i | ||||
\(305\) | −44.2702 | −2.53490 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 16.3599 | 0.933711 | 0.466855 | − | 0.884334i | \(-0.345387\pi\) | ||||
0.466855 | + | 0.884334i | \(0.345387\pi\) | |||||||
\(308\) | −18.4475 | − | 31.9520i | −1.05114 | − | 1.82063i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −29.2026 | + | 50.5804i | −1.65860 | + | 2.87277i | ||||
\(311\) | 3.87743 | − | 6.71591i | 0.219869 | − | 0.380824i | −0.734899 | − | 0.678177i | \(-0.762770\pi\) |
0.954768 | + | 0.297353i | \(0.0961037\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −7.70903 | − | 13.3524i | −0.435740 | − | 0.754724i | 0.561616 | − | 0.827398i | \(-0.310180\pi\) |
−0.997356 | + | 0.0726744i | \(0.976847\pi\) | |||||||
\(314\) | −3.62942 | −0.204820 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 69.4742 | 3.90823 | ||||||||
\(317\) | −4.31810 | − | 7.47917i | −0.242529 | − | 0.420072i | 0.718905 | − | 0.695108i | \(-0.244644\pi\) |
−0.961434 | + | 0.275036i | \(0.911310\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.34598 | − | 7.52745i | 0.243328 | − | 0.421456i | ||||
\(320\) | −11.5478 | + | 20.0013i | −0.645540 | + | 1.11811i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −1.74615 | − | 3.02442i | −0.0973090 | − | 0.168544i | ||||
\(323\) | −5.39459 | −0.300163 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −15.0077 | −0.832480 | ||||||||
\(326\) | −21.2029 | − | 36.7244i | −1.17432 | − | 2.03398i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −12.2508 | + | 21.2190i | −0.676438 | + | 1.17163i | ||||
\(329\) | −7.52136 | + | 13.0274i | −0.414666 | + | 0.718223i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −10.2723 | − | 17.7921i | −0.564614 | − | 0.977941i | −0.997085 | − | 0.0762930i | \(-0.975692\pi\) |
0.432471 | − | 0.901648i | \(-0.357642\pi\) | |||||||
\(332\) | 16.0368 | 0.880133 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −16.8122 | −0.919921 | ||||||||
\(335\) | −9.05441 | − | 15.6827i | −0.494695 | − | 0.856837i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −7.98910 | + | 13.8375i | −0.435194 | + | 0.753778i | −0.997311 | − | 0.0732792i | \(-0.976654\pi\) |
0.562117 | + | 0.827057i | \(0.309987\pi\) | |||||||
\(338\) | −2.23408 | + | 3.86954i | −0.121518 | + | 0.210475i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 16.0113 | + | 27.7324i | 0.868335 | + | 1.50400i | ||||
\(341\) | −26.4949 | −1.43478 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.4285 | 0.995047 | ||||||||
\(344\) | 6.87522 | + | 11.9082i | 0.370687 | + | 0.642049i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −29.4534 | + | 51.0148i | −1.58342 | + | 2.74257i | ||||
\(347\) | 4.90214 | − | 8.49075i | 0.263161 | − | 0.455807i | −0.703920 | − | 0.710280i | \(-0.748568\pi\) |
0.967080 | + | 0.254472i | \(0.0819018\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.71749 | + | 8.17093i | 0.252521 | + | 0.437380i | 0.964219 | − | 0.265106i | \(-0.0854069\pi\) |
−0.711698 | + | 0.702486i | \(0.752074\pi\) | |||||||
\(350\) | 29.3267 | 1.56758 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.38916 | 0.0740424 | ||||||||
\(353\) | 1.69258 | + | 2.93164i | 0.0900870 | + | 0.156035i | 0.907548 | − | 0.419949i | \(-0.137952\pi\) |
−0.817461 | + | 0.575985i | \(0.804619\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 22.8190 | − | 39.5237i | 1.21111 | − | 2.09770i | ||||
\(356\) | −10.3014 | + | 17.8426i | −0.545975 | + | 0.945656i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −25.2811 | − | 43.7881i | −1.33615 | − | 2.31427i | ||||
\(359\) | 35.2273 | 1.85923 | 0.929614 | − | 0.368535i | \(-0.120141\pi\) | ||||
0.929614 | + | 0.368535i | \(0.120141\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −14.6036 | −0.768610 | ||||||||
\(362\) | −19.0112 | − | 32.9283i | −0.999205 | − | 1.73067i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −17.9620 | + | 31.1111i | −0.941464 | + | 1.63066i | ||||
\(365\) | 2.89760 | − | 5.01879i | 0.151667 | − | 0.262696i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 15.7727 | + | 27.3191i | 0.823329 | + | 1.42605i | 0.903190 | + | 0.429242i | \(0.141219\pi\) |
−0.0798606 | + | 0.996806i | \(0.525448\pi\) | |||||||
\(368\) | 2.26927 | 0.118294 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −77.9447 | −4.05215 | ||||||||
\(371\) | 8.54306 | + | 14.7970i | 0.443534 | + | 0.768223i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −7.22116 | + | 12.5074i | −0.373897 | + | 0.647609i | −0.990161 | − | 0.139931i | \(-0.955312\pi\) |
0.616264 | + | 0.787540i | \(0.288645\pi\) | |||||||
\(374\) | −10.8584 | + | 18.8074i | −0.561476 | + | 0.972505i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −14.1894 | − | 24.5767i | −0.731760 | − | 1.26745i | ||||
\(377\) | −8.46320 | −0.435877 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1.00099 | 0.0514176 | 0.0257088 | − | 0.999669i | \(-0.491816\pi\) | ||||
0.0257088 | + | 0.999669i | \(0.491816\pi\) | |||||||
\(380\) | −13.0487 | − | 22.6010i | −0.669384 | − | 1.15941i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −13.4574 | + | 23.3090i | −0.688543 | + | 1.19259i | ||||
\(383\) | −2.05867 | + | 3.56572i | −0.105193 | + | 0.182200i | −0.913817 | − | 0.406126i | \(-0.866879\pi\) |
0.808624 | + | 0.588326i | \(0.200213\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 14.0626 | + | 24.3571i | 0.716696 | + | 1.24135i | ||||
\(386\) | −2.81380 | −0.143219 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −42.9605 | −2.18099 | ||||||||
\(389\) | 7.75996 | + | 13.4406i | 0.393445 | + | 0.681468i | 0.992901 | − | 0.118940i | \(-0.0379497\pi\) |
−0.599456 | + | 0.800408i | \(0.704616\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.687514 | + | 1.19081i | −0.0347691 | + | 0.0602218i | ||||
\(392\) | 0.171815 | − | 0.297591i | 0.00867794 | − | 0.0150306i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −6.19602 | − | 10.7318i | −0.312151 | − | 0.540662i | ||||
\(395\) | −52.9605 | −2.66473 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.54893 | −0.0777384 | −0.0388692 | − | 0.999244i | \(-0.512376\pi\) | ||||
−0.0388692 | + | 0.999244i | \(0.512376\pi\) | |||||||
\(398\) | 16.8676 | + | 29.2155i | 0.845495 | + | 1.46444i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −9.52814 | + | 16.5032i | −0.476407 | + | 0.825161i | ||||
\(401\) | −3.97369 | + | 6.88263i | −0.198437 | + | 0.343702i | −0.948022 | − | 0.318206i | \(-0.896920\pi\) |
0.749585 | + | 0.661908i | \(0.230253\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 12.8988 | + | 22.3414i | 0.642536 | + | 1.11290i | ||||
\(404\) | 22.8628 | 1.13747 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 16.5380 | 0.820766 | ||||||||
\(407\) | −17.6794 | − | 30.6216i | −0.876336 | − | 1.51786i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −13.2277 | + | 22.9110i | −0.654068 | + | 1.13288i | 0.328059 | + | 0.944657i | \(0.393606\pi\) |
−0.982127 | + | 0.188221i | \(0.939728\pi\) | |||||||
\(410\) | 18.4913 | − | 32.0279i | 0.913221 | − | 1.58174i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −20.9523 | − | 36.2904i | −1.03224 | − | 1.78790i | ||||
\(413\) | −4.39996 | −0.216508 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −12.2249 | −0.600097 | ||||||||
\(416\) | −0.676299 | − | 1.17138i | −0.0331583 | − | 0.0574319i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 8.84927 | − | 15.3274i | 0.432832 | − | 0.749687i | ||||
\(419\) | −19.1700 | + | 33.2034i | −0.936516 | + | 1.62209i | −0.164607 | + | 0.986359i | \(0.552636\pi\) |
−0.771909 | + | 0.635733i | \(0.780698\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.67225 | − | 6.36052i | −0.178974 | − | 0.309993i | 0.762555 | − | 0.646923i | \(-0.223945\pi\) |
−0.941530 | + | 0.336930i | \(0.890611\pi\) | |||||||
\(422\) | 14.3415 | 0.698134 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −32.2337 | −1.56540 | ||||||||
\(425\) | −5.77343 | − | 9.99987i | −0.280052 | − | 0.485065i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 19.1055 | − | 33.0916i | 0.924578 | − | 1.60142i | ||||
\(428\) | 28.7816 | − | 49.8512i | 1.39121 | − | 2.40965i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −10.3774 | − | 17.9742i | −0.500443 | − | 0.866793i | ||||
\(431\) | −15.8463 | −0.763289 | −0.381644 | − | 0.924309i | \(-0.624642\pi\) | ||||
−0.381644 | + | 0.924309i | \(0.624642\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −23.8507 | −1.14619 | −0.573097 | − | 0.819488i | \(-0.694258\pi\) | ||||
−0.573097 | + | 0.819488i | \(0.694258\pi\) | |||||||
\(434\) | −25.2056 | − | 43.6575i | −1.20991 | − | 2.09562i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −11.6386 | + | 20.1586i | −0.557387 | + | 0.965423i | ||||
\(437\) | 0.560301 | − | 0.970470i | 0.0268028 | − | 0.0464239i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 10.7350 | + | 18.5935i | 0.512352 | + | 0.887420i | 0.999897 | + | 0.0143222i | \(0.00455904\pi\) |
−0.487545 | + | 0.873098i | \(0.662108\pi\) | |||||||
\(440\) | −53.0593 | −2.52950 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 21.1453 | 1.00578 | ||||||||
\(443\) | −15.7740 | − | 27.3213i | −0.749443 | − | 1.29807i | −0.948090 | − | 0.318003i | \(-0.896988\pi\) |
0.198646 | − | 0.980071i | \(-0.436345\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 7.85282 | − | 13.6015i | 0.372259 | − | 0.644772i | ||||
\(446\) | 10.7266 | − | 18.5791i | 0.507921 | − | 0.879744i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −9.96723 | − | 17.2637i | −0.470907 | − | 0.815635i | ||||
\(449\) | 20.7898 | 0.981130 | 0.490565 | − | 0.871405i | \(-0.336790\pi\) | ||||
0.490565 | + | 0.871405i | \(0.336790\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 16.7768 | 0.789988 | ||||||||
\(452\) | 23.0659 | + | 39.9513i | 1.08493 | + | 1.87915i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 29.8407 | − | 51.6855i | 1.40049 | − | 2.42572i | ||||
\(455\) | 13.6925 | − | 23.7161i | 0.641914 | − | 1.11183i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 8.71387 | + | 15.0929i | 0.407618 | + | 0.706014i | 0.994622 | − | 0.103569i | \(-0.0330263\pi\) |
−0.587005 | + | 0.809584i | \(0.699693\pi\) | |||||||
\(458\) | −44.6124 | −2.08460 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −6.65196 | −0.310149 | ||||||||
\(461\) | 15.5022 | + | 26.8507i | 0.722011 | + | 1.25056i | 0.960193 | + | 0.279339i | \(0.0901154\pi\) |
−0.238181 | + | 0.971221i | \(0.576551\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −3.24398 | + | 5.61873i | −0.150760 | + | 0.261125i | −0.931507 | − | 0.363723i | \(-0.881506\pi\) |
0.780747 | + | 0.624847i | \(0.214839\pi\) | |||||||
\(464\) | −5.37313 | + | 9.30653i | −0.249441 | + | 0.432045i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 12.9501 | + | 22.4302i | 0.599901 | + | 1.03906i | ||||
\(467\) | 1.94390 | 0.0899530 | 0.0449765 | − | 0.998988i | \(-0.485679\pi\) | ||||
0.0449765 | + | 0.998988i | \(0.485679\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 15.6303 | 0.721738 | ||||||||
\(470\) | 21.4173 | + | 37.0959i | 0.987907 | + | 1.71111i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 4.15035 | − | 7.18862i | 0.191035 | − | 0.330883i | ||||
\(473\) | 4.70761 | − | 8.15381i | 0.216456 | − | 0.374913i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.70516 | + | 8.14957i | 0.215887 | + | 0.373928i | ||||
\(476\) | −27.6397 | −1.26686 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 23.4390 | 1.07207 | ||||||||
\(479\) | −0.664695 | − | 1.15129i | −0.0303707 | − | 0.0526036i | 0.850441 | − | 0.526071i | \(-0.176335\pi\) |
−0.880811 | + | 0.473468i | \(0.843002\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −17.2141 | + | 29.8157i | −0.784896 | + | 1.35948i | ||||
\(482\) | −8.64808 | + | 14.9789i | −0.393909 | + | 0.682271i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1.60558 | − | 2.78094i | −0.0729807 | − | 0.126406i | ||||
\(485\) | 32.7490 | 1.48705 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 21.2040 | 0.960844 | 0.480422 | − | 0.877037i | \(-0.340484\pi\) | ||||
0.480422 | + | 0.877037i | \(0.340484\pi\) | |||||||
\(488\) | 36.0432 | + | 62.4287i | 1.63160 | + | 2.82601i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.259336 | + | 0.449183i | −0.0117156 | + | 0.0202920i | ||||
\(491\) | −13.5051 | + | 23.3915i | −0.609475 | + | 1.05564i | 0.381852 | + | 0.924224i | \(0.375287\pi\) |
−0.991327 | + | 0.131419i | \(0.958047\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −3.25576 | − | 5.63915i | −0.146632 | − | 0.253975i | ||||
\(494\) | −17.2328 | −0.775338 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 32.7569 | 1.47083 | ||||||||
\(497\) | 19.6958 | + | 34.1141i | 0.883476 | + | 1.53022i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −7.51946 | + | 13.0241i | −0.336617 | + | 0.583038i | −0.983794 | − | 0.179302i | \(-0.942616\pi\) |
0.647177 | + | 0.762340i | \(0.275949\pi\) | |||||||
\(500\) | −3.18618 | + | 5.51863i | −0.142490 | + | 0.246801i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −19.1548 | − | 33.1771i | −0.854920 | − | 1.48076i | ||||
\(503\) | 4.60650 | 0.205394 | 0.102697 | − | 0.994713i | \(-0.467253\pi\) | ||||
0.102697 | + | 0.994713i | \(0.467253\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −17.4284 | −0.775554 | ||||||||
\(506\) | −2.25559 | − | 3.90680i | −0.100273 | − | 0.173678i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −5.23314 | + | 9.06406i | −0.232183 | + | 0.402153i | ||||
\(509\) | −14.8983 | + | 25.8047i | −0.660357 | + | 1.14377i | 0.320165 | + | 0.947362i | \(0.396262\pi\) |
−0.980522 | + | 0.196410i | \(0.937072\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.50101 | + | 4.33187i | 0.110638 | + | 0.191631i | ||||
\(512\) | 40.8760 | 1.80648 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 29.9599 | 1.32147 | ||||||||
\(515\) | 15.9720 | + | 27.6643i | 0.703810 | + | 1.21904i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −9.71574 | + | 16.8282i | −0.427298 | + | 0.740102i | ||||
\(518\) | 33.6382 | − | 58.2631i | 1.47798 | − | 2.55993i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 25.8314 | + | 44.7413i | 1.13278 | + | 1.96204i | ||||
\(521\) | −11.7621 | −0.515306 | −0.257653 | − | 0.966237i | \(-0.582949\pi\) | ||||
−0.257653 | + | 0.966237i | \(0.582949\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 29.3853 | 1.28493 | 0.642464 | − | 0.766316i | \(-0.277912\pi\) | ||||
0.642464 | + | 0.766316i | \(0.277912\pi\) | |||||||
\(524\) | 8.91180 | + | 15.4357i | 0.389314 | + | 0.674311i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 8.46663 | − | 14.6646i | 0.369163 | − | 0.639409i | ||||
\(527\) | −9.92426 | + | 17.1893i | −0.432308 | + | 0.748779i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.3572 | + | 19.6712i | 0.493791 | + | 0.855270i | ||||
\(530\) | 48.6533 | 2.11336 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 22.5254 | 0.976601 | ||||||||
\(533\) | −8.16762 | − | 14.1467i | −0.353779 | − | 0.612763i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −21.9403 | + | 38.0017i | −0.948562 | + | 1.64296i | ||||
\(536\) | −14.7436 | + | 25.5366i | −0.636825 | + | 1.10301i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −8.67446 | − | 15.0246i | −0.373983 | − | 0.647757i | ||||
\(539\) | −0.235290 | −0.0101347 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −22.9116 | −0.985046 | −0.492523 | − | 0.870300i | \(-0.663925\pi\) | ||||
−0.492523 | + | 0.870300i | \(0.663925\pi\) | |||||||
\(542\) | 29.1954 | + | 50.5679i | 1.25405 | + | 2.17208i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.520340 | − | 0.901256i | 0.0223094 | − | 0.0386410i | ||||
\(545\) | 8.87214 | − | 15.3670i | 0.380041 | − | 0.658250i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6.87885 | + | 11.9145i | 0.294118 | + | 0.509428i | 0.974779 | − | 0.223171i | \(-0.0716407\pi\) |
−0.680661 | + | 0.732598i | \(0.738307\pi\) | |||||||
\(548\) | 73.4107 | 3.13595 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 37.8829 | 1.61533 | ||||||||
\(551\) | 2.65334 | + | 4.59572i | 0.113036 | + | 0.195784i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 22.8559 | − | 39.5875i | 0.971931 | − | 1.68343i | ||||
\(554\) | −0.128375 | + | 0.222352i | −0.00545413 | + | 0.00944682i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −3.95576 | − | 6.85158i | −0.167762 | − | 0.290572i | ||||
\(557\) | 21.9041 | 0.928105 | 0.464053 | − | 0.885808i | \(-0.346395\pi\) | ||||
0.464053 | + | 0.885808i | \(0.346395\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −9.16742 | −0.387741 | ||||||||
\(560\) | −17.3862 | − | 30.1138i | −0.734702 | − | 1.27254i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −10.0182 | + | 17.3520i | −0.422592 | + | 0.731951i | ||||
\(563\) | −7.28421 | + | 12.6166i | −0.306993 | + | 0.531727i | −0.977703 | − | 0.209992i | \(-0.932656\pi\) |
0.670710 | + | 0.741720i | \(0.265989\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −17.5832 | − | 30.4550i | −0.739731 | − | 1.28125i | ||||
\(566\) | −58.0431 | −2.43973 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −74.3137 | −3.11813 | ||||||||
\(569\) | 11.1785 | + | 19.3618i | 0.468628 | + | 0.811687i | 0.999357 | − | 0.0358544i | \(-0.0114153\pi\) |
−0.530729 | + | 0.847541i | \(0.678082\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 7.71307 | − | 13.3594i | 0.322782 | − | 0.559075i | −0.658279 | − | 0.752774i | \(-0.728715\pi\) |
0.981061 | + | 0.193699i | \(0.0620486\pi\) | |||||||
\(572\) | −23.2024 | + | 40.1878i | −0.970143 | + | 1.68034i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 15.9604 | + | 27.6442i | 0.666174 | + | 1.15385i | ||||
\(575\) | 2.39860 | 0.100028 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 32.8081 | 1.36582 | 0.682909 | − | 0.730503i | \(-0.260714\pi\) | ||||
0.682909 | + | 0.730503i | \(0.260714\pi\) | |||||||
\(578\) | −12.7567 | − | 22.0952i | −0.530608 | − | 0.919040i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 15.7504 | − | 27.2805i | 0.654000 | − | 1.13276i | ||||
\(581\) | 5.27584 | − | 9.13802i | 0.218879 | − | 0.379109i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 11.0355 | + | 19.1141i | 0.457045 | + | 0.791625i | ||||
\(584\) | −9.43650 | −0.390485 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 53.1515 | 2.19567 | ||||||||
\(587\) | −15.1171 | − | 26.1836i | −0.623951 | − | 1.08071i | −0.988743 | − | 0.149625i | \(-0.952193\pi\) |
0.364792 | − | 0.931089i | \(-0.381140\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 8.08795 | − | 14.0087i | 0.333258 | − | 0.577220i | ||||
\(590\) | −6.26451 | + | 10.8505i | −0.257906 | + | 0.446706i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 21.8579 | + | 37.8589i | 0.898353 | + | 1.55599i | ||||
\(593\) | 41.1023 | 1.68787 | 0.843935 | − | 0.536446i | \(-0.180234\pi\) | ||||
0.843935 | + | 0.536446i | \(0.180234\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 21.0698 | 0.863778 | ||||||||
\(596\) | −14.7793 | − | 25.5986i | −0.605386 | − | 1.04856i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −2.19623 | + | 3.80398i | −0.0898105 | + | 0.155556i | ||||
\(599\) | −18.2753 | + | 31.6537i | −0.746707 | + | 1.29333i | 0.202686 | + | 0.979244i | \(0.435033\pi\) |
−0.949393 | + | 0.314091i | \(0.898300\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1.97290 | − | 3.41717i | −0.0804764 | − | 0.139389i | 0.822978 | − | 0.568073i | \(-0.192311\pi\) |
−0.903455 | + | 0.428684i | \(0.858977\pi\) | |||||||
\(602\) | 17.9141 | 0.730125 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 19.6015 | 0.797575 | ||||||||
\(605\) | 1.22394 | + | 2.11992i | 0.0497601 | + | 0.0861870i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −5.00576 | + | 8.67023i | −0.203178 | + | 0.351914i | −0.949551 | − | 0.313614i | \(-0.898460\pi\) |
0.746373 | + | 0.665528i | \(0.231794\pi\) | |||||||
\(608\) | −0.424060 | + | 0.734494i | −0.0171979 | + | 0.0297877i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −54.4034 | − | 94.2294i | −2.20273 | − | 3.81524i | ||||
\(611\) | 18.9201 | 0.765425 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −18.7568 | −0.757578 | −0.378789 | − | 0.925483i | \(-0.623659\pi\) | ||||
−0.378789 | + | 0.925483i | \(0.623659\pi\) | |||||||
\(614\) | 20.1046 | + | 34.8223i | 0.811357 | + | 1.40531i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 22.8985 | − | 39.6614i | 0.922608 | − | 1.59800i | ||||
\(617\) | 11.5050 | − | 19.9273i | 0.463175 | − | 0.802243i | −0.535942 | − | 0.844255i | \(-0.680043\pi\) |
0.999117 | + | 0.0420119i | \(0.0133767\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −3.70701 | − | 6.42073i | −0.148997 | − | 0.258071i | 0.781860 | − | 0.623454i | \(-0.214271\pi\) |
−0.930857 | + | 0.365383i | \(0.880938\pi\) | |||||||
\(620\) | −96.0211 | −3.85630 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 19.0598 | 0.764229 | ||||||||
\(623\) | 6.77800 | + | 11.7398i | 0.271555 | + | 0.470347i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 13.6489 | − | 23.6406i | 0.545956 | − | 0.945623i | ||||
\(626\) | 18.9472 | − | 32.8175i | 0.757281 | − | 1.31165i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −2.98348 | − | 5.16754i | −0.119054 | − | 0.206207i | ||||
\(629\) | −26.4889 | −1.05618 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −30.9924 | −1.23379 | −0.616894 | − | 0.787046i | \(-0.711609\pi\) | ||||
−0.616894 | + | 0.787046i | \(0.711609\pi\) | |||||||
\(632\) | 43.1185 | + | 74.6835i | 1.71516 | + | 2.97075i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 10.6130 | − | 18.3822i | 0.421496 | − | 0.730052i | ||||
\(635\) | 3.98924 | − | 6.90957i | 0.158308 | − | 0.274198i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.114549 | + | 0.198404i | 0.00453859 | + | 0.00786106i | ||||
\(638\) | 21.3630 | 0.845769 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −59.2559 | −2.34229 | ||||||||
\(641\) | 17.6731 | + | 30.6106i | 0.698044 | + | 1.20905i | 0.969144 | + | 0.246496i | \(0.0792794\pi\) |
−0.271100 | + | 0.962551i | \(0.587387\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 9.85047 | − | 17.0615i | 0.388465 | − | 0.672840i | −0.603779 | − | 0.797152i | \(-0.706339\pi\) |
0.992243 | + | 0.124312i | \(0.0396723\pi\) | |||||||
\(644\) | 2.87075 | − | 4.97229i | 0.113124 | − | 0.195936i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −6.62938 | − | 11.4824i | −0.260830 | − | 0.451770i | ||||
\(647\) | 46.8317 | 1.84114 | 0.920572 | − | 0.390572i | \(-0.127723\pi\) | ||||
0.920572 | + | 0.390572i | \(0.127723\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −5.68366 | −0.223103 | ||||||||
\(650\) | −18.4429 | − | 31.9441i | −0.723391 | − | 1.25295i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 34.8586 | − | 60.3768i | 1.36517 | − | 2.36454i | ||||
\(653\) | −8.66336 | + | 15.0054i | −0.339023 | + | 0.587206i | −0.984249 | − | 0.176786i | \(-0.943430\pi\) |
0.645226 | + | 0.763992i | \(0.276763\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −6.79350 | − | 11.7667i | −0.265444 | − | 0.459762i | ||||
\(656\) | −20.7419 | −0.809835 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −36.9719 | −1.44131 | ||||||||
\(659\) | −21.8671 | − | 37.8749i | −0.851821 | − | 1.47540i | −0.879563 | − | 0.475782i | \(-0.842165\pi\) |
0.0277419 | − | 0.999615i | \(-0.491168\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 4.54343 | − | 7.86945i | 0.176719 | − | 0.306086i | −0.764036 | − | 0.645174i | \(-0.776785\pi\) |
0.940755 | + | 0.339088i | \(0.110118\pi\) | |||||||
\(662\) | 25.2470 | − | 43.7292i | 0.981254 | − | 1.69958i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 9.95308 | + | 17.2392i | 0.386254 | + | 0.669012i | ||||
\(665\) | −17.1712 | −0.665871 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.35262 | 0.0523737 | ||||||||
\(668\) | −13.8200 | − | 23.9370i | −0.534713 | − | 0.926150i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 22.2538 | − | 38.5448i | 0.859740 | − | 1.48911i | ||||
\(671\) | 24.6795 | − | 42.7462i | 0.952743 | − | 1.65020i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −3.74834 | − | 6.49232i | −0.144488 | − | 0.250261i | 0.784694 | − | 0.619884i | \(-0.212820\pi\) |
−0.929182 | + | 0.369623i | \(0.879487\pi\) | |||||||
\(674\) | −39.2711 | −1.51266 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −7.34587 | −0.282534 | ||||||||
\(677\) | −7.68128 | − | 13.3044i | −0.295215 | − | 0.511328i | 0.679820 | − | 0.733379i | \(-0.262058\pi\) |
−0.975035 | + | 0.222051i | \(0.928725\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −14.1333 | + | 24.4796i | −0.542387 | + | 0.939441i | ||||
\(680\) | −19.8745 | + | 34.4237i | −0.762153 | + | 1.32009i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −32.5595 | − | 56.3946i | −1.24677 | − | 2.15946i | ||||
\(683\) | 6.62157 | 0.253367 | 0.126684 | − | 0.991943i | \(-0.459567\pi\) | ||||
0.126684 | + | 0.991943i | \(0.459567\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −55.9612 | −2.13817 | ||||||||
\(686\) | 22.6467 | + | 39.2253i | 0.864656 | + | 1.49763i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −5.82023 | + | 10.0809i | −0.221894 | + | 0.384332i | ||||
\(689\) | 10.7451 | − | 18.6110i | 0.409355 | − | 0.709024i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 9.32843 | + | 16.1573i | 0.354870 | + | 0.614653i | 0.987096 | − | 0.160131i | \(-0.0511918\pi\) |
−0.632226 | + | 0.774784i | \(0.717858\pi\) | |||||||
\(692\) | −96.8457 | −3.68152 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 24.0968 | 0.914704 | ||||||||
\(695\) | 3.01549 | + | 5.22298i | 0.114384 | + | 0.198119i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 6.28412 | − | 10.8844i | 0.238028 | − | 0.412276i | ||||
\(698\) | −11.5946 | + | 20.0824i | −0.438862 | + | 0.760131i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 24.1073 | + | 41.7551i | 0.911170 | + | 1.57819i | ||||
\(701\) | 24.8903 | 0.940092 | 0.470046 | − | 0.882642i | \(-0.344237\pi\) | ||||
0.470046 | + | 0.882642i | \(0.344237\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 21.5876 | 0.814190 | ||||||||
\(704\) | −12.8752 | − | 22.3005i | −0.485252 | − | 0.840481i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −4.16001 | + | 7.20535i | −0.156564 | + | 0.271177i | ||||
\(707\) | 7.52149 | − | 13.0276i | 0.282875 | − | 0.489953i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 13.0894 | + | 22.6715i | 0.491582 | + | 0.851445i | 0.999953 | − | 0.00969346i | \(-0.00308557\pi\) |
−0.508371 | + | 0.861138i | \(0.669752\pi\) | |||||||
\(710\) | 112.169 | 4.20961 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −25.5739 | −0.958424 | ||||||||
\(713\) | −2.06154 | − | 3.57069i | −0.0772052 | − | 0.133723i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 17.6873 | − | 30.6353i | 0.661468 | − | 1.14570i | ||||
\(716\) | 41.5634 | − | 71.9899i | 1.55330 | − | 2.69039i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 43.2907 | + | 74.9817i | 1.61559 | + | 2.79829i | ||||
\(719\) | 21.0290 | 0.784251 | 0.392125 | − | 0.919912i | \(-0.371740\pi\) | ||||
0.392125 | + | 0.919912i | \(0.371740\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −27.5718 | −1.02683 | ||||||||
\(722\) | −17.9463 | − | 31.0838i | −0.667891 | − | 1.15682i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 31.2553 | − | 54.1358i | 1.16159 | − | 2.01194i | ||||
\(725\) | −5.67935 | + | 9.83692i | −0.210926 | + | 0.365334i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −20.6978 | − | 35.8497i | −0.767640 | − | 1.32959i | −0.938839 | − | 0.344356i | \(-0.888097\pi\) |
0.171199 | − | 0.985236i | \(-0.445236\pi\) | |||||||
\(728\) | −44.5918 | −1.65268 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 14.2434 | 0.527171 | ||||||||
\(731\) | −3.52668 | − | 6.10838i | −0.130439 | − | 0.225927i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −16.8134 | + | 29.1216i | −0.621016 | + | 1.07563i | 0.368281 | + | 0.929714i | \(0.379946\pi\) |
−0.989297 | + | 0.145916i | \(0.953387\pi\) | |||||||
\(734\) | −38.7660 | + | 67.1447i | −1.43088 | + | 2.47836i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.108089 | + | 0.187215i | 0.00398421 | + | 0.00690085i | ||||
\(737\) | 20.1904 | 0.743724 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −12.9454 | −0.476202 | −0.238101 | − | 0.971240i | \(-0.576525\pi\) | ||||
−0.238101 | + | 0.971240i | \(0.576525\pi\) | |||||||
\(740\) | −64.0725 | − | 110.977i | −2.35535 | − | 4.07959i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −20.9970 | + | 36.3679i | −0.770826 | + | 1.33511i | ||||
\(743\) | 0.0439646 | − | 0.0761489i | 0.00161290 | − | 0.00279363i | −0.865218 | − | 0.501396i | \(-0.832820\pi\) |
0.866831 | + | 0.498603i | \(0.166153\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 11.2664 | + | 19.5139i | 0.412767 | + | 0.714934i | ||||
\(746\) | −35.4962 | −1.29961 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −35.7036 | −1.30545 | ||||||||
\(749\) | −18.9373 | − | 32.8004i | −0.691955 | − | 1.19850i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −24.9480 | + | 43.2112i | −0.910366 | + | 1.57680i | −0.0968179 | + | 0.995302i | \(0.530866\pi\) |
−0.813548 | + | 0.581498i | \(0.802467\pi\) | |||||||
\(752\) | 12.0120 | − | 20.8054i | 0.438033 | − | 0.758696i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −10.4004 | − | 18.0140i | −0.378759 | − | 0.656031i | ||||
\(755\) | −14.9423 | −0.543806 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −11.8679 | −0.431348 | −0.215674 | − | 0.976465i | \(-0.569195\pi\) | ||||
−0.215674 | + | 0.976465i | \(0.569195\pi\) | |||||||
\(758\) | 1.23011 | + | 2.13062i | 0.0446798 | + | 0.0773877i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 16.1971 | − | 28.0542i | 0.587530 | − | 1.01763i | ||||
\(761\) | −1.89515 | + | 3.28250i | −0.0686992 | + | 0.118990i | −0.898329 | − | 0.439323i | \(-0.855218\pi\) |
0.829630 | + | 0.558314i | \(0.188552\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 7.65781 | + | 13.2637i | 0.277231 | + | 0.480179i | ||||
\(764\) | −44.2494 | −1.60089 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −10.1196 | −0.365634 | ||||||||
\(767\) | 2.76704 | + | 4.79265i | 0.0999120 | + | 0.173053i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −3.13475 | + | 5.42955i | −0.113042 | + | 0.195795i | −0.916995 | − | 0.398898i | \(-0.869393\pi\) |
0.803953 | + | 0.594692i | \(0.202726\pi\) | |||||||
\(770\) | −34.5629 | + | 59.8646i | −1.24556 | + | 2.15737i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −2.31302 | − | 4.00626i | −0.0832473 | − | 0.144189i | ||||
\(773\) | −1.29536 | −0.0465907 | −0.0232954 | − | 0.999729i | \(-0.507416\pi\) | ||||
−0.0232954 | + | 0.999729i | \(0.507416\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 34.6237 | 1.24372 | ||||||||
\(776\) | −26.6631 | − | 46.1818i | −0.957148 | − | 1.65783i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −19.0723 | + | 33.0343i | −0.683777 | + | 1.18434i | ||||
\(779\) | −5.12135 | + | 8.87044i | −0.183491 | + | 0.317816i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 25.4421 | + | 44.0669i | 0.910388 | + | 1.57684i | ||||
\(782\) | −3.37953 | −0.120852 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0.290900 | 0.0103893 | ||||||||
\(785\) | 2.27432 | + | 3.93923i | 0.0811738 |