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: | \(\Q(\zeta_{36})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{12} - x^{6} + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3^{3} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 244.5 | ||
Root | \(-0.642788 + 0.766044i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.244 |
Dual form | 729.2.c.c.487.5 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.642788 | + | 1.11334i | 0.454519 | + | 0.787251i | 0.998660 | − | 0.0517430i | \(-0.0164777\pi\) |
−0.544141 | + | 0.838994i | \(0.683144\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.173648 | − | 0.300767i | 0.0868241 | − | 0.150384i | ||||
\(5\) | 0.223238 | − | 0.386659i | 0.0998350 | − | 0.172919i | −0.811781 | − | 0.583962i | \(-0.801502\pi\) |
0.911616 | + | 0.411042i | \(0.134835\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.76604 | + | 3.05888i | 0.667502 | + | 1.15615i | 0.978600 | + | 0.205770i | \(0.0659698\pi\) |
−0.311098 | + | 0.950378i | \(0.600697\pi\) | |||||||
\(8\) | 3.01763 | 1.06689 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.573978 | 0.181508 | ||||||||
\(11\) | −1.39003 | − | 2.40760i | −0.419110 | − | 0.725920i | 0.576740 | − | 0.816928i | \(-0.304325\pi\) |
−0.995850 | + | 0.0910078i | \(0.970991\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.64543 | + | 2.84997i | −0.456360 | + | 0.790439i | −0.998765 | − | 0.0496782i | \(-0.984180\pi\) |
0.542405 | + | 0.840117i | \(0.317514\pi\) | |||||||
\(14\) | −2.27038 | + | 3.93242i | −0.606785 | + | 1.05098i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.59240 | + | 2.75811i | 0.398099 | + | 0.689528i | ||||
\(17\) | 7.03936 | 1.70730 | 0.853648 | − | 0.520850i | \(-0.174385\pi\) | ||||
0.853648 | + | 0.520850i | \(0.174385\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.18479 | −1.18947 | −0.594736 | − | 0.803921i | \(-0.702744\pi\) | ||||
−0.594736 | + | 0.803921i | \(0.702744\pi\) | |||||||
\(20\) | −0.0775297 | − | 0.134285i | −0.0173362 | − | 0.0300271i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.78699 | − | 3.09516i | 0.380987 | − | 0.659889i | ||||
\(23\) | 3.63846 | − | 6.30200i | 0.758672 | − | 1.31406i | −0.184856 | − | 0.982766i | \(-0.559182\pi\) |
0.943528 | − | 0.331293i | \(-0.107485\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.40033 | + | 4.15749i | 0.480066 | + | 0.831499i | ||||
\(26\) | −4.23065 | −0.829698 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.22668 | 0.231821 | ||||||||
\(29\) | 1.80958 | + | 3.13429i | 0.336031 | + | 0.582022i | 0.983682 | − | 0.179914i | \(-0.0575821\pi\) |
−0.647652 | + | 0.761937i | \(0.724249\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.967911 | − | 1.67647i | 0.173842 | − | 0.301103i | −0.765918 | − | 0.642938i | \(-0.777715\pi\) |
0.939760 | + | 0.341835i | \(0.111048\pi\) | |||||||
\(32\) | 0.970481 | − | 1.68092i | 0.171558 | − | 0.297148i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.52481 | + | 7.83721i | 0.775999 | + | 1.34407i | ||||
\(35\) | 1.57699 | 0.266560 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.22668 | −0.530463 | −0.265232 | − | 0.964185i | \(-0.585448\pi\) | ||||
−0.265232 | + | 0.964185i | \(0.585448\pi\) | |||||||
\(38\) | −3.33272 | − | 5.77244i | −0.540639 | − | 0.936414i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.673648 | − | 1.16679i | 0.106513 | − | 0.184486i | ||||
\(41\) | −2.43042 | + | 4.20961i | −0.379568 | + | 0.657430i | −0.990999 | − | 0.133867i | \(-0.957261\pi\) |
0.611432 | + | 0.791297i | \(0.290594\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.87939 | + | 4.98724i | 0.439102 | + | 0.760547i | 0.997620 | − | 0.0689450i | \(-0.0219633\pi\) |
−0.558518 | + | 0.829492i | \(0.688630\pi\) | |||||||
\(44\) | −0.965505 | −0.145555 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 9.35504 | 1.37932 | ||||||||
\(47\) | 1.50881 | + | 2.61334i | 0.220083 | + | 0.381195i | 0.954833 | − | 0.297143i | \(-0.0960338\pi\) |
−0.734750 | + | 0.678338i | \(0.762701\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.73783 | + | 4.74205i | −0.391118 | + | 0.677436i | ||||
\(50\) | −3.08580 | + | 5.34477i | −0.436399 | + | 0.755865i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.571452 | + | 0.989783i | 0.0792461 | + | 0.137258i | ||||
\(53\) | −8.77141 | −1.20485 | −0.602423 | − | 0.798177i | \(-0.705798\pi\) | ||||
−0.602423 | + | 0.798177i | \(0.705798\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.24123 | −0.167367 | ||||||||
\(56\) | 5.32926 | + | 9.23055i | 0.712153 | + | 1.23348i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.32635 | + | 4.02936i | −0.305465 | + | 0.529081i | ||||
\(59\) | 1.48189 | − | 2.56670i | 0.192925 | − | 0.334156i | −0.753293 | − | 0.657685i | \(-0.771536\pi\) |
0.946218 | + | 0.323529i | \(0.104869\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.94356 | − | 6.83045i | −0.504922 | − | 0.874550i | −0.999984 | − | 0.00569222i | \(-0.998188\pi\) |
0.495062 | − | 0.868857i | \(-0.335145\pi\) | |||||||
\(62\) | 2.48865 | 0.316058 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.86484 | 1.10810 | ||||||||
\(65\) | 0.734644 | + | 1.27244i | 0.0911214 | + | 0.157827i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.71941 | − | 8.17425i | 0.576567 | − | 0.998644i | −0.419302 | − | 0.907847i | \(-0.637725\pi\) |
0.995869 | − | 0.0907972i | \(-0.0289415\pi\) | |||||||
\(68\) | 1.22237 | − | 2.11721i | 0.148234 | − | 0.256750i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.01367 | + | 1.75573i | 0.121157 | + | 0.209850i | ||||
\(71\) | −5.30731 | −0.629862 | −0.314931 | − | 0.949115i | \(-0.601981\pi\) | ||||
−0.314931 | + | 0.949115i | \(0.601981\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.55438 | −0.181926 | −0.0909631 | − | 0.995854i | \(-0.528995\pi\) | ||||
−0.0909631 | + | 0.995854i | \(0.528995\pi\) | |||||||
\(74\) | −2.07407 | − | 3.59240i | −0.241106 | − | 0.417608i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.900330 | + | 1.55942i | −0.103275 | + | 0.178877i | ||||
\(77\) | 4.90971 | − | 8.50387i | 0.559514 | − | 0.969106i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.95084 | + | 10.3072i | 0.669521 | + | 1.15965i | 0.978038 | + | 0.208426i | \(0.0668341\pi\) |
−0.308517 | + | 0.951219i | \(0.599833\pi\) | |||||||
\(80\) | 1.42193 | 0.158977 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −6.24897 | −0.690083 | ||||||||
\(83\) | −8.12863 | − | 14.0792i | −0.892233 | − | 1.54539i | −0.837193 | − | 0.546908i | \(-0.815805\pi\) |
−0.0550399 | − | 0.998484i | \(-0.517529\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.57145 | − | 2.72183i | 0.170448 | − | 0.295224i | ||||
\(86\) | −3.70167 | + | 6.41147i | −0.399161 | + | 0.691367i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −4.19459 | − | 7.26525i | −0.447145 | − | 0.774478i | ||||
\(89\) | −18.4258 | −1.95313 | −0.976567 | − | 0.215214i | \(-0.930955\pi\) | ||||
−0.976567 | + | 0.215214i | \(0.930955\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −11.6236 | −1.21849 | ||||||||
\(92\) | −1.26363 | − | 2.18866i | −0.131742 | − | 0.228184i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.93969 | + | 3.35965i | −0.200064 | + | 0.346521i | ||||
\(95\) | −1.15744 | + | 2.00475i | −0.118751 | + | 0.205683i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.05690 | − | 8.75881i | −0.513451 | − | 0.889323i | −0.999878 | − | 0.0156019i | \(-0.995034\pi\) |
0.486427 | − | 0.873721i | \(-0.338300\pi\) | |||||||
\(98\) | −7.03936 | −0.711083 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.66725 | 0.166725 | ||||||||
\(101\) | −1.04039 | − | 1.80200i | −0.103522 | − | 0.179306i | 0.809611 | − | 0.586967i | \(-0.199678\pi\) |
−0.913134 | + | 0.407661i | \(0.866345\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.724155 | − | 1.25427i | 0.0713531 | − | 0.123587i | −0.828141 | − | 0.560519i | \(-0.810602\pi\) |
0.899495 | + | 0.436932i | \(0.143935\pi\) | |||||||
\(104\) | −4.96529 | + | 8.60014i | −0.486887 | + | 0.843313i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −5.63816 | − | 9.76557i | −0.547626 | − | 0.948516i | ||||
\(107\) | 2.23583 | 0.216146 | 0.108073 | − | 0.994143i | \(-0.465532\pi\) | ||||
0.108073 | + | 0.994143i | \(0.465532\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −11.5030 | −1.10179 | −0.550893 | − | 0.834576i | \(-0.685713\pi\) | ||||
−0.550893 | + | 0.834576i | \(0.685713\pi\) | |||||||
\(110\) | −0.797847 | − | 1.38191i | −0.0760717 | − | 0.131760i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −5.62449 | + | 9.74189i | −0.531464 | + | 0.920522i | ||||
\(113\) | 0.844075 | − | 1.46198i | 0.0794039 | − | 0.137532i | −0.823589 | − | 0.567187i | \(-0.808032\pi\) |
0.902993 | + | 0.429655i | \(0.141365\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.62449 | − | 2.81369i | −0.151484 | − | 0.262378i | ||||
\(116\) | 1.25692 | 0.116702 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 3.81016 | 0.350753 | ||||||||
\(119\) | 12.4318 | + | 21.5326i | 1.13962 | + | 1.97389i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.63563 | − | 2.83299i | 0.148694 | − | 0.257545i | ||||
\(122\) | 5.06975 | − | 8.78106i | 0.458993 | − | 0.795000i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.336152 | − | 0.582232i | −0.0301873 | − | 0.0522860i | ||||
\(125\) | 4.37576 | 0.391379 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.67230 | −0.237129 | −0.118564 | − | 0.992946i | \(-0.537829\pi\) | ||||
−0.118564 | + | 0.992946i | \(0.537829\pi\) | |||||||
\(128\) | 3.75725 | + | 6.50774i | 0.332097 | + | 0.575208i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.944440 | + | 1.63582i | −0.0828329 | + | 0.143471i | ||||
\(131\) | −1.45994 | + | 2.52869i | −0.127555 | + | 0.220932i | −0.922729 | − | 0.385450i | \(-0.874046\pi\) |
0.795174 | + | 0.606382i | \(0.207380\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −9.15657 | − | 15.8597i | −0.793976 | − | 1.37521i | ||||
\(134\) | 12.1343 | 1.04824 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 21.2422 | 1.82150 | ||||||||
\(137\) | −2.32861 | − | 4.03327i | −0.198947 | − | 0.344586i | 0.749241 | − | 0.662298i | \(-0.230419\pi\) |
−0.948187 | + | 0.317712i | \(0.897085\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 4.00134 | − | 6.93053i | 0.339390 | − | 0.587840i | −0.644928 | − | 0.764243i | \(-0.723113\pi\) |
0.984318 | + | 0.176403i | \(0.0564462\pi\) | |||||||
\(140\) | 0.273842 | − | 0.474308i | 0.0231438 | − | 0.0400863i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −3.41147 | − | 5.90885i | −0.286285 | − | 0.495859i | ||||
\(143\) | 9.14879 | 0.765060 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.61587 | 0.134190 | ||||||||
\(146\) | −0.999135 | − | 1.73055i | −0.0826890 | − | 0.143222i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.560307 | + | 0.970481i | −0.0460570 | + | 0.0797730i | ||||
\(149\) | 10.1059 | − | 17.5039i | 0.827905 | − | 1.43397i | −0.0717743 | − | 0.997421i | \(-0.522866\pi\) |
0.899679 | − | 0.436552i | \(-0.143801\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.35117 | − | 5.80439i | −0.272714 | − | 0.472355i | 0.696842 | − | 0.717225i | \(-0.254588\pi\) |
−0.969556 | + | 0.244870i | \(0.921255\pi\) | |||||||
\(152\) | −15.6458 | −1.26904 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 12.6236 | 1.01724 | ||||||||
\(155\) | −0.432149 | − | 0.748503i | −0.0347110 | − | 0.0601212i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.66250 | + | 4.61159i | −0.212491 | + | 0.368045i | −0.952493 | − | 0.304559i | \(-0.901491\pi\) |
0.740003 | + | 0.672604i | \(0.234824\pi\) | |||||||
\(158\) | −7.65025 | + | 13.2506i | −0.608621 | + | 1.05416i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.433296 | − | 0.750491i | −0.0342551 | − | 0.0593315i | ||||
\(161\) | 25.7028 | 2.02566 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.81521 | 0.298830 | 0.149415 | − | 0.988775i | \(-0.452261\pi\) | ||||
0.149415 | + | 0.988775i | \(0.452261\pi\) | |||||||
\(164\) | 0.844075 | + | 1.46198i | 0.0659112 | + | 0.114162i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 10.4500 | − | 18.0999i | 0.811074 | − | 1.40482i | ||||
\(167\) | −4.56769 | + | 7.91147i | −0.353459 | + | 0.612208i | −0.986853 | − | 0.161621i | \(-0.948328\pi\) |
0.633394 | + | 0.773829i | \(0.281661\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.08512 | + | 1.87949i | 0.0834709 | + | 0.144576i | ||||
\(170\) | 4.04044 | 0.309888 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.00000 | 0.152499 | ||||||||
\(173\) | −3.03693 | − | 5.26011i | −0.230893 | − | 0.399919i | 0.727178 | − | 0.686449i | \(-0.240832\pi\) |
−0.958071 | + | 0.286530i | \(0.907498\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −8.47818 | + | 14.6846i | −0.640890 | + | 1.11005i | ||||
\(176\) | 4.42696 | − | 7.66772i | 0.333695 | − | 0.577976i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −11.8439 | − | 20.5142i | −0.887737 | − | 1.53761i | ||||
\(179\) | 10.2811 | 0.768449 | 0.384224 | − | 0.923240i | \(-0.374469\pi\) | ||||
0.384224 | + | 0.923240i | \(0.374469\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −23.1411 | −1.72007 | −0.860034 | − | 0.510237i | \(-0.829558\pi\) | ||||
−0.860034 | + | 0.510237i | \(0.829558\pi\) | |||||||
\(182\) | −7.47151 | − | 12.9410i | −0.553825 | − | 0.959253i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 10.9795 | − | 19.0171i | 0.809421 | − | 1.40196i | ||||
\(185\) | −0.720317 | + | 1.24763i | −0.0529588 | + | 0.0917273i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −9.78493 | − | 16.9480i | −0.715545 | − | 1.23936i | ||||
\(188\) | 1.04801 | 0.0764340 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.97596 | −0.215899 | ||||||||
\(191\) | −7.33515 | − | 12.7049i | −0.530753 | − | 0.919291i | −0.999356 | − | 0.0358825i | \(-0.988576\pi\) |
0.468603 | − | 0.883409i | \(-0.344758\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −11.7208 | + | 20.3009i | −0.843678 | + | 1.46129i | 0.0430860 | + | 0.999071i | \(0.486281\pi\) |
−0.886764 | + | 0.462222i | \(0.847052\pi\) | |||||||
\(194\) | 6.50103 | − | 11.2601i | 0.466747 | − | 0.808429i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.950837 | + | 1.64690i | 0.0679169 | + | 0.117636i | ||||
\(197\) | −9.02768 | −0.643196 | −0.321598 | − | 0.946876i | \(-0.604220\pi\) | ||||
−0.321598 | + | 0.946876i | \(0.604220\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.60401 | 0.184593 | 0.0922966 | − | 0.995732i | \(-0.470579\pi\) | ||||
0.0922966 | + | 0.995732i | \(0.470579\pi\) | |||||||
\(200\) | 7.24330 | + | 12.5458i | 0.512178 | + | 0.887119i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1.33750 | − | 2.31661i | 0.0941059 | − | 0.162996i | ||||
\(203\) | −6.39160 | + | 11.0706i | −0.448602 | + | 0.777002i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.08512 | + | 1.87949i | 0.0757882 | + | 0.131269i | ||||
\(206\) | 1.86191 | 0.129726 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −10.4807 | −0.726706 | ||||||||
\(209\) | 7.20702 | + | 12.4829i | 0.498520 | + | 0.863462i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 8.17752 | − | 14.1639i | 0.562964 | − | 0.975082i | −0.434272 | − | 0.900782i | \(-0.642994\pi\) |
0.997236 | − | 0.0742999i | \(-0.0236722\pi\) | |||||||
\(212\) | −1.52314 | + | 2.63816i | −0.104610 | + | 0.181189i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1.43717 | + | 2.48925i | 0.0982427 | + | 0.170161i | ||||
\(215\) | 2.57115 | 0.175351 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.83750 | 0.464159 | ||||||||
\(218\) | −7.39398 | − | 12.8068i | −0.500784 | − | 0.867383i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.215537 | + | 0.373321i | −0.0145315 | + | 0.0251693i | ||||
\(221\) | −11.5828 | + | 20.0620i | −0.779142 | + | 1.34951i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.85117 | − | 3.20631i | −0.123963 | − | 0.214711i | 0.797364 | − | 0.603499i | \(-0.206227\pi\) |
−0.921327 | + | 0.388788i | \(0.872894\pi\) | |||||||
\(224\) | 6.85565 | 0.458062 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.17024 | 0.144363 | ||||||||
\(227\) | 5.28039 | + | 9.14590i | 0.350472 | + | 0.607034i | 0.986332 | − | 0.164769i | \(-0.0526880\pi\) |
−0.635861 | + | 0.771804i | \(0.719355\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −6.76264 | + | 11.7132i | −0.446888 | + | 0.774033i | −0.998182 | − | 0.0602787i | \(-0.980801\pi\) |
0.551294 | + | 0.834311i | \(0.314134\pi\) | |||||||
\(230\) | 2.08840 | − | 3.61721i | 0.137705 | − | 0.238512i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 5.46064 | + | 9.45810i | 0.358508 | + | 0.620955i | ||||
\(233\) | 12.7007 | 0.832050 | 0.416025 | − | 0.909353i | \(-0.363423\pi\) | ||||
0.416025 | + | 0.909353i | \(0.363423\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.34730 | 0.0878879 | ||||||||
\(236\) | −0.514654 | − | 0.891407i | −0.0335011 | − | 0.0580256i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −15.9820 | + | 27.6817i | −1.03596 | + | 1.79434i | ||||
\(239\) | 2.92577 | − | 5.06758i | 0.189252 | − | 0.327795i | −0.755749 | − | 0.654862i | \(-0.772727\pi\) |
0.945001 | + | 0.327067i | \(0.106060\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 4.26991 | + | 7.39571i | 0.275049 | + | 0.476400i | 0.970148 | − | 0.242515i | \(-0.0779725\pi\) |
−0.695098 | + | 0.718915i | \(0.744639\pi\) | |||||||
\(242\) | 4.20545 | 0.270337 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −2.73917 | −0.175357 | ||||||||
\(245\) | 1.22237 | + | 2.11721i | 0.0780945 | + | 0.135264i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 8.53121 | − | 14.7765i | 0.542828 | − | 0.940206i | ||||
\(248\) | 2.92079 | − | 5.05896i | 0.185471 | − | 0.321244i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 2.81268 | + | 4.87171i | 0.177890 | + | 0.308114i | ||||
\(251\) | −6.75790 | −0.426555 | −0.213277 | − | 0.976992i | \(-0.568414\pi\) | ||||
−0.213277 | + | 0.976992i | \(0.568414\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −20.2303 | −1.27187 | ||||||||
\(254\) | −1.71772 | − | 2.97519i | −0.107780 | − | 0.186680i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 4.03462 | − | 6.98816i | 0.252163 | − | 0.436760i | ||||
\(257\) | −1.84148 | + | 3.18954i | −0.114868 | + | 0.198958i | −0.917727 | − | 0.397211i | \(-0.869978\pi\) |
0.802859 | + | 0.596169i | \(0.203311\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −5.69846 | − | 9.87003i | −0.354085 | − | 0.613294i | ||||
\(260\) | 0.510278 | 0.0316461 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −3.75372 | −0.231905 | ||||||||
\(263\) | −1.81893 | − | 3.15048i | −0.112160 | − | 0.194267i | 0.804481 | − | 0.593979i | \(-0.202444\pi\) |
−0.916641 | + | 0.399712i | \(0.869110\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.95811 | + | 3.39155i | −0.120286 | + | 0.208341i | ||||
\(266\) | 11.7715 | − | 20.3888i | 0.721755 | − | 1.25012i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −1.63903 | − | 2.83889i | −0.100120 | − | 0.173413i | ||||
\(269\) | −7.08672 | −0.432085 | −0.216042 | − | 0.976384i | \(-0.569315\pi\) | ||||
−0.216042 | + | 0.976384i | \(0.569315\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −19.0000 | −1.15417 | −0.577084 | − | 0.816685i | \(-0.695809\pi\) | ||||
−0.577084 | + | 0.816685i | \(0.695809\pi\) | |||||||
\(272\) | 11.2095 | + | 19.4153i | 0.679673 | + | 1.17723i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 2.99360 | − | 5.18507i | 0.180850 | − | 0.313242i | ||||
\(275\) | 6.67306 | − | 11.5581i | 0.402401 | − | 0.696979i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 6.94609 | + | 12.0310i | 0.417350 | + | 0.722871i | 0.995672 | − | 0.0929372i | \(-0.0296256\pi\) |
−0.578322 | + | 0.815809i | \(0.696292\pi\) | |||||||
\(278\) | 10.2881 | 0.617037 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 4.75877 | 0.284391 | ||||||||
\(281\) | −11.0637 | − | 19.1630i | −0.660008 | − | 1.14317i | −0.980613 | − | 0.195954i | \(-0.937220\pi\) |
0.320605 | − | 0.947213i | \(-0.396114\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 11.8662 | − | 20.5528i | 0.705371 | − | 1.22174i | −0.261186 | − | 0.965288i | \(-0.584114\pi\) |
0.966557 | − | 0.256450i | \(-0.0825530\pi\) | |||||||
\(284\) | −0.921605 | + | 1.59627i | −0.0546872 | + | 0.0947210i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 5.88073 | + | 10.1857i | 0.347735 | + | 0.602294i | ||||
\(287\) | −17.1689 | −1.01345 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 32.5526 | 1.91486 | ||||||||
\(290\) | 1.03866 | + | 1.79901i | 0.0609922 | + | 0.105642i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.269915 | + | 0.467506i | −0.0157956 | + | 0.0273587i | ||||
\(293\) | −9.30304 | + | 16.1133i | −0.543489 | + | 0.941351i | 0.455211 | + | 0.890384i | \(0.349564\pi\) |
−0.998700 | + | 0.0509677i | \(0.983769\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.661626 | − | 1.14597i | −0.0385214 | − | 0.0667210i | ||||
\(296\) | −9.73692 | −0.565947 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 25.9837 | 1.50520 | ||||||||
\(299\) | 11.9737 | + | 20.7390i | 0.692455 | + | 1.19937i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −10.1702 | + | 17.6154i | −0.586203 | + | 1.01533i | ||||
\(302\) | 4.30818 | − | 7.46198i | 0.247908 | − | 0.429389i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −8.25624 | − | 14.3002i | −0.473528 | − | 0.820175i | ||||
\(305\) | −3.52141 | −0.201635 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 20.7469 | 1.18409 | 0.592044 | − | 0.805905i | \(-0.298321\pi\) | ||||
0.592044 | + | 0.805905i | \(0.298321\pi\) | |||||||
\(308\) | −1.70513 | − | 2.95336i | −0.0971585 | − | 0.168283i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.555560 | − | 0.962258i | 0.0315537 | − | 0.0546526i | ||||
\(311\) | −10.1927 | + | 17.6544i | −0.577978 | + | 1.00109i | 0.417734 | + | 0.908570i | \(0.362825\pi\) |
−0.995711 | + | 0.0925169i | \(0.970509\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 14.9204 | + | 25.8429i | 0.843351 | + | 1.46073i | 0.887046 | + | 0.461681i | \(0.152754\pi\) |
−0.0436951 | + | 0.999045i | \(0.513913\pi\) | |||||||
\(314\) | −6.84570 | −0.386325 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 4.13341 | 0.232522 | ||||||||
\(317\) | −2.15830 | − | 3.73829i | −0.121222 | − | 0.209963i | 0.799028 | − | 0.601294i | \(-0.205348\pi\) |
−0.920250 | + | 0.391331i | \(0.872015\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 5.03074 | − | 8.71351i | 0.281668 | − | 0.487863i | ||||
\(320\) | 1.97897 | − | 3.42767i | 0.110628 | − | 0.191613i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 16.5214 | + | 28.6159i | 0.920702 | + | 1.59470i | ||||
\(323\) | −36.4976 | −2.03078 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −15.7983 | −0.876332 | ||||||||
\(326\) | 2.45237 | + | 4.24763i | 0.135824 | + | 0.235254i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −7.33409 | + | 12.7030i | −0.404958 | + | 0.701407i | ||||
\(329\) | −5.32926 | + | 9.23055i | −0.293812 | + | 0.508897i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.45946 | + | 2.52785i | 0.0802189 | + | 0.138943i | 0.903344 | − | 0.428917i | \(-0.141105\pi\) |
−0.823125 | + | 0.567860i | \(0.807771\pi\) | |||||||
\(332\) | −5.64608 | −0.309869 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −11.7442 | −0.642615 | ||||||||
\(335\) | −2.10710 | − | 3.64960i | −0.115123 | − | 0.199399i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −7.22075 | + | 12.5067i | −0.393339 | + | 0.681284i | −0.992888 | − | 0.119055i | \(-0.962014\pi\) |
0.599548 | + | 0.800339i | \(0.295347\pi\) | |||||||
\(338\) | −1.39501 | + | 2.41622i | −0.0758783 | + | 0.131425i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.545759 | − | 0.945283i | −0.0295980 | − | 0.0512652i | ||||
\(341\) | −5.38170 | −0.291436 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 5.38413 | 0.290716 | ||||||||
\(344\) | 8.68891 | + | 15.0496i | 0.468475 | + | 0.811422i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 3.90420 | − | 6.76227i | 0.209891 | − | 0.363542i | ||||
\(347\) | 0.727021 | − | 1.25924i | 0.0390285 | − | 0.0675994i | −0.845851 | − | 0.533419i | \(-0.820907\pi\) |
0.884880 | + | 0.465819i | \(0.154240\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 13.7909 | + | 23.8865i | 0.738208 | + | 1.27861i | 0.953302 | + | 0.302020i | \(0.0976609\pi\) |
−0.215094 | + | 0.976593i | \(0.569006\pi\) | |||||||
\(350\) | −21.7987 | −1.16519 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −5.39599 | −0.287607 | ||||||||
\(353\) | −5.26606 | − | 9.12108i | −0.280284 | − | 0.485466i | 0.691171 | − | 0.722692i | \(-0.257095\pi\) |
−0.971455 | + | 0.237225i | \(0.923762\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.18479 | + | 2.05212i | −0.0628823 | + | 0.108915i | ||||
\(356\) | −3.19961 | + | 5.54189i | −0.169579 | + | 0.293720i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 6.60859 | + | 11.4464i | 0.349275 | + | 0.604962i | ||||
\(359\) | 14.7055 | 0.776124 | 0.388062 | − | 0.921633i | \(-0.373145\pi\) | ||||
0.388062 | + | 0.921633i | \(0.373145\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.88207 | 0.414846 | ||||||||
\(362\) | −14.8748 | − | 25.7640i | −0.781804 | − | 1.35412i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −2.01842 | + | 3.49600i | −0.105794 | + | 0.183240i | ||||
\(365\) | −0.346996 | + | 0.601014i | −0.0181626 | + | 0.0314585i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 10.6814 | + | 18.5007i | 0.557564 | + | 0.965729i | 0.997699 | + | 0.0677976i | \(0.0215972\pi\) |
−0.440135 | + | 0.897932i | \(0.645069\pi\) | |||||||
\(368\) | 23.1755 | 1.20811 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −1.85204 | −0.0962832 | ||||||||
\(371\) | −15.4907 | − | 26.8307i | −0.804237 | − | 1.39298i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −11.3123 | + | 19.5934i | −0.585727 | + | 1.01451i | 0.409057 | + | 0.912509i | \(0.365858\pi\) |
−0.994784 | + | 0.102000i | \(0.967476\pi\) | |||||||
\(374\) | 12.5793 | − | 21.7879i | 0.650458 | − | 1.12663i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 4.55303 | + | 7.88609i | 0.234805 | + | 0.406694i | ||||
\(377\) | −11.9101 | −0.613404 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −17.0743 | −0.877047 | −0.438523 | − | 0.898720i | \(-0.644498\pi\) | ||||
−0.438523 | + | 0.898720i | \(0.644498\pi\) | |||||||
\(380\) | 0.401975 | + | 0.696242i | 0.0206209 | + | 0.0357164i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 9.42989 | − | 16.3331i | 0.482475 | − | 0.835672i | ||||
\(383\) | 19.4958 | − | 33.7677i | 0.996188 | − | 1.72545i | 0.422550 | − | 0.906339i | \(-0.361135\pi\) |
0.573638 | − | 0.819109i | \(-0.305532\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.19207 | − | 3.79677i | −0.111718 | − | 0.193501i | ||||
\(386\) | −30.1358 | −1.53387 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3.51249 | −0.178320 | ||||||||
\(389\) | −5.10602 | − | 8.84389i | −0.258886 | − | 0.448403i | 0.707058 | − | 0.707156i | \(-0.250022\pi\) |
−0.965944 | + | 0.258752i | \(0.916689\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 25.6125 | − | 44.3621i | 1.29528 | − | 2.24349i | ||||
\(392\) | −8.26173 | + | 14.3097i | −0.417281 | + | 0.722751i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −5.80288 | − | 10.0509i | −0.292345 | − | 0.506356i | ||||
\(395\) | 5.31381 | 0.267367 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.14290 | −0.0573607 | −0.0286803 | − | 0.999589i | \(-0.509130\pi\) | ||||
−0.0286803 | + | 0.999589i | \(0.509130\pi\) | |||||||
\(398\) | 1.67382 | + | 2.89915i | 0.0839012 | + | 0.145321i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −7.64455 | + | 13.2408i | −0.382228 | + | 0.662038i | ||||
\(401\) | 10.2770 | − | 17.8002i | 0.513208 | − | 0.888902i | −0.486675 | − | 0.873583i | \(-0.661790\pi\) |
0.999883 | − | 0.0153188i | \(-0.00487632\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.18526 | + | 5.51703i | 0.158669 | + | 0.274823i | ||||
\(404\) | −0.722645 | −0.0359530 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −16.4338 | −0.815594 | ||||||||
\(407\) | 4.48519 | + | 7.76857i | 0.222322 | + | 0.385074i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 4.06418 | − | 7.03936i | 0.200961 | − | 0.348074i | −0.747878 | − | 0.663837i | \(-0.768927\pi\) |
0.948838 | + | 0.315763i | \(0.102260\pi\) | |||||||
\(410\) | −1.39501 | + | 2.41622i | −0.0688945 | + | 0.119329i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.251497 | − | 0.435605i | −0.0123903 | − | 0.0214607i | ||||
\(413\) | 10.4683 | 0.515112 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −7.25847 | −0.356304 | ||||||||
\(416\) | 3.19372 | + | 5.53168i | 0.156585 | + | 0.271213i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −9.26517 | + | 16.0477i | −0.453174 | + | 0.784921i | ||||
\(419\) | −17.8892 | + | 30.9850i | −0.873946 | + | 1.51372i | −0.0160641 | + | 0.999871i | \(0.505114\pi\) |
−0.857882 | + | 0.513847i | \(0.828220\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.55943 | + | 11.3613i | 0.319687 | + | 0.553714i | 0.980423 | − | 0.196904i | \(-0.0630889\pi\) |
−0.660736 | + | 0.750619i | \(0.729756\pi\) | |||||||
\(422\) | 21.0256 | 1.02351 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −26.4688 | −1.28544 | ||||||||
\(425\) | 16.8968 | + | 29.2661i | 0.819615 | + | 1.41961i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 13.9290 | − | 24.1258i | 0.674072 | − | 1.16753i | ||||
\(428\) | 0.388249 | − | 0.672466i | 0.0187667 | − | 0.0325049i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.65270 | + | 2.86257i | 0.0797004 | + | 0.138045i | ||||
\(431\) | 9.48411 | 0.456833 | 0.228417 | − | 0.973563i | \(-0.426645\pi\) | ||||
0.228417 | + | 0.973563i | \(0.426645\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 17.6628 | 0.848820 | 0.424410 | − | 0.905470i | \(-0.360481\pi\) | ||||
0.424410 | + | 0.905470i | \(0.360481\pi\) | |||||||
\(434\) | 4.39506 | + | 7.61246i | 0.210970 | + | 0.365410i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.99747 | + | 3.45973i | −0.0956616 | + | 0.165691i | ||||
\(437\) | −18.8647 | + | 32.6746i | −0.902420 | + | 1.56304i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 8.83275 | + | 15.2988i | 0.421564 | + | 0.730170i | 0.996093 | − | 0.0883141i | \(-0.0281479\pi\) |
−0.574529 | + | 0.818485i | \(0.694815\pi\) | |||||||
\(440\) | −3.74557 | −0.178563 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −29.7811 | −1.41654 | ||||||||
\(443\) | 6.49605 | + | 11.2515i | 0.308637 | + | 0.534575i | 0.978064 | − | 0.208303i | \(-0.0667939\pi\) |
−0.669428 | + | 0.742877i | \(0.733461\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −4.11334 | + | 7.12452i | −0.194991 | + | 0.337734i | ||||
\(446\) | 2.37981 | − | 4.12196i | 0.112687 | − | 0.195180i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 15.6557 | + | 27.1165i | 0.739662 | + | 1.28113i | ||||
\(449\) | −4.62857 | −0.218436 | −0.109218 | − | 0.994018i | \(-0.534835\pi\) | ||||
−0.109218 | + | 0.994018i | \(0.534835\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 13.5134 | 0.636322 | ||||||||
\(452\) | −0.293144 | − | 0.507741i | −0.0137883 | − | 0.0238821i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −6.78833 | + | 11.7577i | −0.318592 | + | 0.551818i | ||||
\(455\) | −2.59483 | + | 4.49437i | −0.121647 | + | 0.210700i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −10.2836 | − | 17.8117i | −0.481046 | − | 0.833196i | 0.518718 | − | 0.854946i | \(-0.326410\pi\) |
−0.999763 | + | 0.0217498i | \(0.993076\pi\) | |||||||
\(458\) | −17.3878 | −0.812477 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −1.12836 | −0.0526098 | ||||||||
\(461\) | 16.7862 | + | 29.0746i | 0.781813 | + | 1.35414i | 0.930885 | + | 0.365313i | \(0.119038\pi\) |
−0.149072 | + | 0.988826i | \(0.547629\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −6.56552 | + | 11.3718i | −0.305126 | + | 0.528493i | −0.977289 | − | 0.211909i | \(-0.932032\pi\) |
0.672164 | + | 0.740403i | \(0.265365\pi\) | |||||||
\(464\) | −5.76314 | + | 9.98205i | −0.267547 | + | 0.463405i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 8.16385 | + | 14.1402i | 0.378183 | + | 0.655032i | ||||
\(467\) | 23.6307 | 1.09350 | 0.546750 | − | 0.837296i | \(-0.315865\pi\) | ||||
0.546750 | + | 0.837296i | \(0.315865\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 33.3387 | 1.53944 | ||||||||
\(470\) | 0.866025 | + | 1.50000i | 0.0399468 | + | 0.0691898i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 4.47178 | − | 7.74535i | 0.205830 | − | 0.356509i | ||||
\(473\) | 8.00487 | − | 13.8648i | 0.368064 | − | 0.637506i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −12.4452 | − | 21.5557i | −0.571025 | − | 0.989045i | ||||
\(476\) | 8.63506 | 0.395787 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 7.52259 | 0.344075 | ||||||||
\(479\) | 2.94010 | + | 5.09240i | 0.134336 | + | 0.232678i | 0.925344 | − | 0.379129i | \(-0.123776\pi\) |
−0.791007 | + | 0.611807i | \(0.790443\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 5.30928 | − | 9.19594i | 0.242082 | − | 0.419299i | ||||
\(482\) | −5.48930 | + | 9.50774i | −0.250031 | + | 0.433066i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.568048 | − | 0.983888i | −0.0258204 | − | 0.0447222i | ||||
\(485\) | −4.51557 | −0.205041 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 38.7965 | 1.75804 | 0.879020 | − | 0.476786i | \(-0.158198\pi\) | ||||
0.879020 | + | 0.476786i | \(0.158198\pi\) | |||||||
\(488\) | −11.9002 | − | 20.6117i | −0.538697 | − | 0.933050i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.57145 | + | 2.72183i | −0.0709910 | + | 0.122960i | ||||
\(491\) | 18.7921 | − | 32.5489i | 0.848077 | − | 1.46891i | −0.0348455 | − | 0.999393i | \(-0.511094\pi\) |
0.882922 | − | 0.469519i | \(-0.155573\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 12.7383 | + | 22.0634i | 0.573704 | + | 0.993684i | ||||
\(494\) | 21.9350 | 0.986904 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 6.16519 | 0.276825 | ||||||||
\(497\) | −9.37295 | − | 16.2344i | −0.420434 | − | 0.728213i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −16.8760 | + | 29.2301i | −0.755473 | + | 1.30852i | 0.189666 | + | 0.981849i | \(0.439259\pi\) |
−0.945139 | + | 0.326668i | \(0.894074\pi\) | |||||||
\(500\) | 0.759842 | − | 1.31608i | 0.0339812 | − | 0.0588571i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −4.34389 | − | 7.52384i | −0.193877 | − | 0.335806i | ||||
\(503\) | −18.7119 | −0.834324 | −0.417162 | − | 0.908832i | \(-0.636975\pi\) | ||||
−0.417162 | + | 0.908832i | \(0.636975\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.929015 | −0.0413406 | ||||||||
\(506\) | −13.0038 | − | 22.5232i | −0.578089 | − | 1.00128i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.464041 | + | 0.803742i | −0.0205885 | + | 0.0356603i | ||||
\(509\) | −10.8841 | + | 18.8518i | −0.482429 | + | 0.835591i | −0.999797 | − | 0.0201720i | \(-0.993579\pi\) |
0.517368 | + | 0.855763i | \(0.326912\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2.74510 | − | 4.75465i | −0.121436 | − | 0.210333i | ||||
\(512\) | 25.4026 | 1.12265 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −4.73473 | −0.208840 | ||||||||
\(515\) | −0.323318 | − | 0.560003i | −0.0142471 | − | 0.0246767i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.19459 | − | 7.26525i | 0.184478 | − | 0.319525i | ||||
\(518\) | 7.32580 | − | 12.6887i | 0.321877 | − | 0.557508i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.21688 | + | 3.83975i | 0.0972167 | + | 0.168384i | ||||
\(521\) | −6.47643 | −0.283738 | −0.141869 | − | 0.989885i | \(-0.545311\pi\) | ||||
−0.141869 | + | 0.989885i | \(0.545311\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −10.8726 | −0.475425 | −0.237712 | − | 0.971336i | \(-0.576398\pi\) | ||||
−0.237712 | + | 0.971336i | \(0.576398\pi\) | |||||||
\(524\) | 0.507031 | + | 0.878203i | 0.0221497 | + | 0.0383645i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2.33837 | − | 4.05018i | 0.101958 | − | 0.176596i | ||||
\(527\) | 6.81348 | − | 11.8013i | 0.296800 | − | 0.514072i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −14.9768 | − | 25.9406i | −0.651167 | − | 1.12785i | ||||
\(530\) | −5.03460 | −0.218689 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −6.36009 | −0.275745 | ||||||||
\(533\) | −7.99816 | − | 13.8532i | −0.346439 | − | 0.600050i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.499123 | − | 0.864506i | 0.0215790 | − | 0.0373758i | ||||
\(536\) | 14.2414 | − | 24.6668i | 0.615135 | − | 1.06545i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −4.55525 | − | 7.88993i | −0.196391 | − | 0.340159i | ||||
\(539\) | 15.2226 | 0.655686 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 24.6459 | 1.05961 | 0.529805 | − | 0.848120i | \(-0.322265\pi\) | ||||
0.529805 | + | 0.848120i | \(0.322265\pi\) | |||||||
\(542\) | −12.2130 | − | 21.1535i | −0.524592 | − | 0.908620i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 6.83157 | − | 11.8326i | 0.292901 | − | 0.507319i | ||||
\(545\) | −2.56790 | + | 4.44774i | −0.109997 | + | 0.190520i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −15.4636 | − | 26.7838i | −0.661177 | − | 1.14519i | −0.980307 | − | 0.197481i | \(-0.936724\pi\) |
0.319130 | − | 0.947711i | \(-0.396609\pi\) | |||||||
\(548\) | −1.61744 | −0.0690934 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 17.1575 | 0.731596 | ||||||||
\(551\) | −9.38230 | − | 16.2506i | −0.399699 | − | 0.692300i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −21.0189 | + | 36.4058i | −0.893814 | + | 1.54813i | ||||
\(554\) | −8.92972 | + | 15.4667i | −0.379387 | + | 0.657118i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.38965 | − | 2.40695i | −0.0589344 | − | 0.102077i | ||||
\(557\) | 23.3627 | 0.989908 | 0.494954 | − | 0.868919i | \(-0.335185\pi\) | ||||
0.494954 | + | 0.868919i | \(0.335185\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −18.9513 | −0.801555 | ||||||||
\(560\) | 2.51120 | + | 4.34952i | 0.106117 | + | 0.183801i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 14.2233 | − | 24.6354i | 0.599973 | − | 1.03918i | ||||
\(563\) | −16.8439 | + | 29.1744i | −0.709884 | + | 1.22956i | 0.255016 | + | 0.966937i | \(0.417919\pi\) |
−0.964900 | + | 0.262618i | \(0.915414\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.376859 | − | 0.652739i | −0.0158546 | − | 0.0274609i | ||||
\(566\) | 30.5097 | 1.28242 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −16.0155 | −0.671995 | ||||||||
\(569\) | 15.3979 | + | 26.6700i | 0.645515 | + | 1.11806i | 0.984182 | + | 0.177158i | \(0.0566905\pi\) |
−0.338668 | + | 0.940906i | \(0.609976\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 14.9376 | − | 25.8727i | 0.625120 | − | 1.08274i | −0.363397 | − | 0.931634i | \(-0.618383\pi\) |
0.988518 | − | 0.151106i | \(-0.0482835\pi\) | |||||||
\(572\) | 1.58867 | − | 2.75166i | 0.0664257 | − | 0.115053i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −11.0360 | − | 19.1148i | −0.460632 | − | 0.797838i | ||||
\(575\) | 34.9340 | 1.45685 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 4.80747 | 0.200137 | 0.100069 | − | 0.994981i | \(-0.468094\pi\) | ||||
0.100069 | + | 0.994981i | \(0.468094\pi\) | |||||||
\(578\) | 20.9244 | + | 36.2422i | 0.870341 | + | 1.50748i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.280592 | − | 0.486000i | 0.0116510 | − | 0.0201801i | ||||
\(581\) | 28.7110 | − | 49.7290i | 1.19113 | − | 2.06310i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 12.1925 | + | 21.1181i | 0.504963 | + | 0.874622i | ||||
\(584\) | −4.69053 | −0.194096 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −23.9195 | −0.988106 | ||||||||
\(587\) | −3.96880 | − | 6.87417i | −0.163810 | − | 0.283727i | 0.772422 | − | 0.635110i | \(-0.219045\pi\) |
−0.936232 | + | 0.351382i | \(0.885712\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −5.01842 | + | 8.69216i | −0.206780 | + | 0.358154i | ||||
\(590\) | 0.850571 | − | 1.47323i | 0.0350174 | − | 0.0606520i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −5.13816 | − | 8.89955i | −0.211177 | − | 0.365769i | ||||
\(593\) | 36.2753 | 1.48965 | 0.744824 | − | 0.667261i | \(-0.232533\pi\) | ||||
0.744824 | + | 0.667261i | \(0.232533\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 11.1010 | 0.455097 | ||||||||
\(596\) | −3.50973 | − | 6.07903i | −0.143764 | − | 0.249007i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −15.3931 | + | 26.6616i | −0.629469 | + | 1.09027i | ||||
\(599\) | −16.8225 | + | 29.1374i | −0.687349 | + | 1.19052i | 0.285343 | + | 0.958425i | \(0.407892\pi\) |
−0.972692 | + | 0.232098i | \(0.925441\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 1.48886 | + | 2.57877i | 0.0607317 | + | 0.105190i | 0.894793 | − | 0.446482i | \(-0.147323\pi\) |
−0.834061 | + | 0.551672i | \(0.813990\pi\) | |||||||
\(602\) | −26.1492 | −1.06576 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −2.32770 | −0.0947126 | ||||||||
\(605\) | −0.730269 | − | 1.26486i | −0.0296896 | − | 0.0514240i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 7.82429 | − | 13.5521i | 0.317578 | − | 0.550062i | −0.662404 | − | 0.749147i | \(-0.730464\pi\) |
0.979982 | + | 0.199085i | \(0.0637971\pi\) | |||||||
\(608\) | −5.03174 | + | 8.71523i | −0.204064 | + | 0.353449i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.26352 | − | 3.92053i | −0.0916472 | − | 0.158738i | ||||
\(611\) | −9.93058 | −0.401748 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1.06687 | −0.0430903 | −0.0215452 | − | 0.999768i | \(-0.506859\pi\) | ||||
−0.0215452 | + | 0.999768i | \(0.506859\pi\) | |||||||
\(614\) | 13.3359 | + | 23.0984i | 0.538191 | + | 0.932175i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 14.8157 | − | 25.6615i | 0.596941 | − | 1.03393i | ||||
\(617\) | 6.53498 | − | 11.3189i | 0.263088 | − | 0.455682i | −0.703973 | − | 0.710227i | \(-0.748592\pi\) |
0.967061 | + | 0.254545i | \(0.0819256\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −10.2588 | − | 17.7687i | −0.412335 | − | 0.714185i | 0.582810 | − | 0.812609i | \(-0.301953\pi\) |
−0.995145 | + | 0.0984238i | \(0.968620\pi\) | |||||||
\(620\) | −0.300167 | −0.0120550 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −26.2071 | −1.05081 | ||||||||
\(623\) | −32.5408 | − | 56.3624i | −1.30372 | − | 2.25811i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −11.0248 | + | 19.0955i | −0.440993 | + | 0.763822i | ||||
\(626\) | −19.1813 | + | 33.2230i | −0.766639 | + | 1.32786i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.924678 | + | 1.60159i | 0.0368987 | + | 0.0639104i | ||||
\(629\) | −22.7138 | −0.905658 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −10.3122 | −0.410523 | −0.205261 | − | 0.978707i | \(-0.565804\pi\) | ||||
−0.205261 | + | 0.978707i | \(0.565804\pi\) | |||||||
\(632\) | 17.9574 | + | 31.1031i | 0.714307 | + | 1.23722i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 2.77466 | − | 4.80586i | 0.110196 | − | 0.190865i | ||||
\(635\) | −0.596559 | + | 1.03327i | −0.0236737 | + | 0.0410041i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −9.00980 | − | 15.6054i | −0.356981 | − | 0.618310i | ||||
\(638\) | 12.9348 | 0.512094 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 3.35504 | 0.132619 | ||||||||
\(641\) | −1.75308 | − | 3.03643i | −0.0692426 | − | 0.119932i | 0.829326 | − | 0.558766i | \(-0.188725\pi\) |
−0.898568 | + | 0.438834i | \(0.855392\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −15.7758 | + | 27.3246i | −0.622139 | + | 1.07758i | 0.366948 | + | 0.930241i | \(0.380403\pi\) |
−0.989087 | + | 0.147334i | \(0.952931\pi\) | |||||||
\(644\) | 4.46324 | − | 7.73055i | 0.175876 | − | 0.304626i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −23.4602 | − | 40.6343i | −0.923030 | − | 1.59874i | ||||
\(647\) | −3.04628 | −0.119762 | −0.0598808 | − | 0.998206i | \(-0.519072\pi\) | ||||
−0.0598808 | + | 0.998206i | \(0.519072\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −8.23947 | −0.323428 | ||||||||
\(650\) | −10.1549 | − | 17.5889i | −0.398310 | − | 0.689893i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0.662504 | − | 1.14749i | 0.0259457 | − | 0.0449392i | ||||
\(653\) | 15.3687 | − | 26.6193i | 0.601423 | − | 1.04169i | −0.391183 | − | 0.920313i | \(-0.627934\pi\) |
0.992606 | − | 0.121382i | \(-0.0387326\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.651826 | + | 1.12900i | 0.0254690 | + | 0.0441135i | ||||
\(656\) | −15.4808 | −0.604422 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −13.7023 | −0.534173 | ||||||||
\(659\) | 16.5920 | + | 28.7381i | 0.646331 | + | 1.11948i | 0.983992 | + | 0.178211i | \(0.0570309\pi\) |
−0.337661 | + | 0.941268i | \(0.609636\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 7.45383 | − | 12.9104i | 0.289920 | − | 0.502157i | −0.683870 | − | 0.729604i | \(-0.739705\pi\) |
0.973790 | + | 0.227447i | \(0.0730378\pi\) | |||||||
\(662\) | −1.87624 | + | 3.24974i | −0.0729221 | + | 0.126305i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −24.5292 | − | 42.4857i | −0.951916 | − | 1.64877i | ||||
\(665\) | −8.17637 | −0.317066 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 26.3364 | 1.01975 | ||||||||
\(668\) | 1.58634 | + | 2.74763i | 0.0613774 | + | 0.106309i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 2.70884 | − | 4.69184i | 0.104651 | − | 0.181262i | ||||
\(671\) | −10.9633 | + | 18.9891i | −0.423235 | + | 0.733065i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −3.44444 | − | 5.96595i | −0.132773 | − | 0.229970i | 0.791971 | − | 0.610558i | \(-0.209055\pi\) |
−0.924745 | + | 0.380588i | \(0.875722\pi\) | |||||||
\(674\) | −18.5656 | −0.715122 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.753718 | 0.0289892 | ||||||||
\(677\) | 6.59461 | + | 11.4222i | 0.253452 | + | 0.438991i | 0.964474 | − | 0.264178i | \(-0.0851008\pi\) |
−0.711022 | + | 0.703170i | \(0.751767\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 17.8614 | − | 30.9369i | 0.685459 | − | 1.18725i | ||||
\(680\) | 4.74205 | − | 8.21348i | 0.181849 | − | 0.314972i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −3.45929 | − | 5.99167i | −0.132463 | − | 0.229433i | ||||
\(683\) | −3.37814 | −0.129261 | −0.0646305 | − | 0.997909i | \(-0.520587\pi\) | ||||
−0.0646305 | + | 0.997909i | \(0.520587\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −2.07934 | −0.0794473 | ||||||||
\(686\) | 3.46085 | + | 5.99437i | 0.132136 | + | 0.228866i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −9.17024 | + | 15.8833i | −0.349612 | + | 0.605546i | ||||
\(689\) | 14.4327 | − | 24.9982i | 0.549844 | − | 0.952357i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −11.7075 | − | 20.2781i | −0.445376 | − | 0.771414i | 0.552702 | − | 0.833379i | \(-0.313597\pi\) |
−0.998078 | + | 0.0619648i | \(0.980263\pi\) | |||||||
\(692\) | −2.10943 | −0.0801884 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 1.86928 | 0.0709569 | ||||||||
\(695\) | −1.78650 | − | 3.09431i | −0.0677659 | − | 0.117374i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −17.1086 | + | 29.6330i | −0.648034 | + | 1.12243i | ||||
\(698\) | −17.7292 | + | 30.7079i | −0.671060 | + | 1.16231i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 2.94444 | + | 5.09992i | 0.111289 | + | 0.192759i | ||||
\(701\) | 45.5001 | 1.71852 | 0.859258 | − | 0.511543i | \(-0.170926\pi\) | ||||
0.859258 | + | 0.511543i | \(0.170926\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 16.7297 | 0.630972 | ||||||||
\(704\) | −12.3224 | − | 21.3430i | −0.464418 | − | 0.804395i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 6.76991 | − | 11.7258i | 0.254789 | − | 0.441308i | ||||
\(707\) | 3.67474 | − | 6.36484i | 0.138203 | − | 0.239374i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −19.3084 | − | 33.4431i | −0.725142 | − | 1.25598i | −0.958915 | − | 0.283692i | \(-0.908441\pi\) |
0.233773 | − | 0.972291i | \(-0.424893\pi\) | |||||||
\(710\) | −3.04628 | −0.114325 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −55.6023 | −2.08378 | ||||||||
\(713\) | −7.04342 | − | 12.1996i | −0.263778 | − | 0.456877i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.04236 | − | 3.53746i | 0.0763798 | − | 0.132294i | ||||
\(716\) | 1.78530 | − | 3.09223i | 0.0667199 | − | 0.115562i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 9.45249 | + | 16.3722i | 0.352764 | + | 0.611005i | ||||
\(719\) | −49.3182 | −1.83926 | −0.919630 | − | 0.392786i | \(-0.871511\pi\) | ||||
−0.919630 | + | 0.392786i | \(0.871511\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.11556 | 0.190513 | ||||||||
\(722\) | 5.06650 | + | 8.77543i | 0.188556 | + | 0.326588i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −4.01842 | + | 6.96010i | −0.149343 | + | 0.258670i | ||||
\(725\) | −8.68718 | + | 15.0466i | −0.322634 | + | 0.558818i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 16.1472 | + | 27.9678i | 0.598868 | + | 1.03727i | 0.992988 | + | 0.118211i | \(0.0377159\pi\) |
−0.394120 | + | 0.919059i | \(0.628951\pi\) | |||||||
\(728\) | −35.0757 | −1.29999 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.892178 | −0.0330210 | ||||||||
\(731\) | 20.2690 | + | 35.1070i | 0.749677 | + | 1.29848i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −19.7331 | + | 34.1787i | −0.728858 | + | 1.26242i | 0.228508 | + | 0.973542i | \(0.426615\pi\) |
−0.957366 | + | 0.288877i | \(0.906718\pi\) | |||||||
\(734\) | −13.7317 | + | 23.7841i | −0.506847 | + | 0.877885i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −7.06212 | − | 12.2319i | −0.260313 | − | 0.450876i | ||||
\(737\) | −26.2405 | −0.966581 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 35.3090 | 1.29886 | 0.649432 | − | 0.760420i | \(-0.275007\pi\) | ||||
0.649432 | + | 0.760420i | \(0.275007\pi\) | |||||||
\(740\) | 0.250164 | + | 0.433296i | 0.00919620 | + | 0.0159283i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 19.9145 | − | 34.4929i | 0.731083 | − | 1.26627i | ||||
\(743\) | 23.7053 | − | 41.0588i | 0.869663 | − | 1.50630i | 0.00732129 | − | 0.999973i | \(-0.497670\pi\) |
0.862342 | − | 0.506327i | \(-0.168997\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −4.51202 | − | 7.81505i | −0.165308 | − | 0.286321i | ||||
\(746\) | −29.0855 | −1.06490 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −6.79654 | −0.248506 | ||||||||
\(749\) | 3.94858 | + | 6.83915i | 0.144278 | + | 0.249897i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 4.46404 | − | 7.73195i | 0.162895 | − | 0.282143i | −0.773011 | − | 0.634393i | \(-0.781250\pi\) |
0.935906 | + | 0.352250i | \(0.114583\pi\) | |||||||
\(752\) | −4.80526 | + | 8.32295i | −0.175230 | + | 0.303507i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −7.65570 | − | 13.2601i | −0.278804 | − | 0.482903i | ||||
\(755\) | −2.99243 | −0.108906 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −3.63816 | −0.132231 | −0.0661155 | − | 0.997812i | \(-0.521061\pi\) | ||||
−0.0661155 | + | 0.997812i | \(0.521061\pi\) | |||||||
\(758\) | −10.9751 | − | 19.0095i | −0.398635 | − | 0.690456i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −3.49273 | + | 6.04958i | −0.126694 | + | 0.219441i | ||||
\(761\) | 3.34440 | − | 5.79267i | 0.121234 | − | 0.209984i | −0.799020 | − | 0.601304i | \(-0.794648\pi\) |
0.920255 | + | 0.391320i | \(0.127981\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −20.3148 | − | 35.1863i | −0.735445 | − | 1.27383i | ||||
\(764\) | −5.09494 | −0.184329 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 50.1266 | 1.81115 | ||||||||
\(767\) | 4.87668 | + | 8.44666i | 0.176087 | + | 0.304991i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 10.7356 | − | 18.5946i | 0.387136 | − | 0.670539i | −0.604927 | − | 0.796281i | \(-0.706798\pi\) |
0.992063 | + | 0.125742i | \(0.0401311\pi\) | |||||||
\(770\) | 2.81807 | − | 4.88103i | 0.101556 | − | 0.175900i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 4.07057 | + | 7.05044i | 0.146503 | + | 0.253751i | ||||
\(773\) | −10.2442 | −0.368457 | −0.184228 | − | 0.982883i | \(-0.558979\pi\) | ||||
−0.184228 | + | 0.982883i | \(0.558979\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 9.29322 | 0.333822 | ||||||||
\(776\) | −15.2598 | − | 26.4308i | −0.547796 | − | 0.948811i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 6.56418 | − | 11.3695i | 0.235337 | − | 0.407616i | ||||
\(779\) | 12.6012 | − | 21.8259i | 0.451485 | − | 0.781996i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 7.37733 | + | 12.7779i | 0.263981 | + | 0.457229i | ||||
\(782\) | 65.8535 | 2.35492 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −17.4388 | −0.622815 | ||||||||
\(785\) | 1.18874 | + | 2.05896i | 0.042428 |