Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,2,Mod(11,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.l (of order \(18\), degree \(6\), 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: | \(0.862384341830\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 23.1 | ||
Character | \(\chi\) | \(=\) | 108.23 |
Dual form | 108.2.l.a.47.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40830 | − | 0.129170i | −0.995820 | − | 0.0913373i | ||||
\(3\) | 1.33417 | − | 1.10453i | 0.770284 | − | 0.637701i | ||||
\(4\) | 1.96663 | + | 0.363822i | 0.983315 | + | 0.181911i | ||||
\(5\) | 0.297855 | + | 0.0525198i | 0.133205 | + | 0.0234876i | 0.239853 | − | 0.970809i | \(-0.422901\pi\) |
−0.106648 | + | 0.994297i | \(0.534012\pi\) | |||||||
\(6\) | −2.02159 | + | 1.38318i | −0.825310 | + | 0.564680i | ||||
\(7\) | 0.312070 | + | 0.371910i | 0.117951 | + | 0.140569i | 0.821789 | − | 0.569792i | \(-0.192976\pi\) |
−0.703838 | + | 0.710361i | \(0.748532\pi\) | |||||||
\(8\) | −2.72261 | − | 0.766402i | −0.962589 | − | 0.270964i | ||||
\(9\) | 0.560024 | − | 2.94727i | 0.186675 | − | 0.982422i | ||||
\(10\) | −0.412685 | − | 0.112438i | −0.130503 | − | 0.0355559i | ||||
\(11\) | 0.00722947 | + | 0.0410004i | 0.00217977 | + | 0.0123621i | 0.985878 | − | 0.167464i | \(-0.0535577\pi\) |
−0.983698 | + | 0.179826i | \(0.942447\pi\) | |||||||
\(12\) | 3.02567 | − | 1.68680i | 0.873437 | − | 0.486938i | ||||
\(13\) | 4.05761 | − | 1.47685i | 1.12538 | − | 0.409604i | 0.288765 | − | 0.957400i | \(-0.406755\pi\) |
0.836612 | + | 0.547796i | \(0.184533\pi\) | |||||||
\(14\) | −0.391449 | − | 0.564072i | −0.104619 | − | 0.150755i | ||||
\(15\) | 0.455399 | − | 0.258919i | 0.117583 | − | 0.0668526i | ||||
\(16\) | 3.73527 | + | 1.43101i | 0.933817 | + | 0.357752i | ||||
\(17\) | −2.14427 | − | 1.23800i | −0.520062 | − | 0.300258i | 0.216898 | − | 0.976194i | \(-0.430406\pi\) |
−0.736960 | + | 0.675936i | \(0.763739\pi\) | |||||||
\(18\) | −1.16938 | + | 4.07830i | −0.275626 | + | 0.961265i | ||||
\(19\) | −6.55326 | + | 3.78353i | −1.50342 | + | 0.868001i | −0.503430 | + | 0.864036i | \(0.667929\pi\) |
−0.999992 | + | 0.00396479i | \(0.998738\pi\) | |||||||
\(20\) | 0.566662 | + | 0.211653i | 0.126709 | + | 0.0473271i | ||||
\(21\) | 0.827140 | + | 0.151501i | 0.180497 | + | 0.0330603i | ||||
\(22\) | −0.00488525 | − | 0.0586748i | −0.00104154 | − | 0.0125095i | ||||
\(23\) | 5.03199 | + | 4.22234i | 1.04924 | + | 0.880418i | 0.993014 | − | 0.118000i | \(-0.0376481\pi\) |
0.0562281 | + | 0.998418i | \(0.482093\pi\) | |||||||
\(24\) | −4.47895 | + | 1.98470i | −0.914261 | + | 0.405125i | ||||
\(25\) | −4.61250 | − | 1.67881i | −0.922501 | − | 0.335763i | ||||
\(26\) | −5.90510 | + | 1.55572i | −1.15809 | + | 0.305103i | ||||
\(27\) | −2.50818 | − | 4.55072i | −0.482699 | − | 0.875786i | ||||
\(28\) | 0.478416 | + | 0.844947i | 0.0904122 | + | 0.159680i | ||||
\(29\) | −2.40260 | + | 6.60109i | −0.446152 | + | 1.22579i | 0.489231 | + | 0.872154i | \(0.337278\pi\) |
−0.935383 | + | 0.353637i | \(0.884945\pi\) | |||||||
\(30\) | −0.674784 | + | 0.305812i | −0.123198 | + | 0.0558334i | ||||
\(31\) | −2.30836 | + | 2.75099i | −0.414593 | + | 0.494092i | −0.932412 | − | 0.361398i | \(-0.882300\pi\) |
0.517819 | + | 0.855490i | \(0.326744\pi\) | |||||||
\(32\) | −5.07554 | − | 2.49778i | −0.897237 | − | 0.441549i | ||||
\(33\) | 0.0549315 | + | 0.0467164i | 0.00956235 | + | 0.00813227i | ||||
\(34\) | 2.85987 | + | 2.02045i | 0.490464 | + | 0.346504i | ||||
\(35\) | 0.0734187 | + | 0.127165i | 0.0124100 | + | 0.0214948i | ||||
\(36\) | 2.17364 | − | 5.59243i | 0.362273 | − | 0.932072i | ||||
\(37\) | −3.36015 | + | 5.81994i | −0.552405 | + | 0.956793i | 0.445696 | + | 0.895184i | \(0.352956\pi\) |
−0.998100 | + | 0.0616082i | \(0.980377\pi\) | |||||||
\(38\) | 9.71770 | − | 4.48186i | 1.57642 | − | 0.727054i | ||||
\(39\) | 3.78232 | − | 6.45212i | 0.605655 | − | 1.03317i | ||||
\(40\) | −0.770692 | − | 0.371267i | −0.121857 | − | 0.0587025i | ||||
\(41\) | 2.16312 | + | 5.94312i | 0.337823 | + | 0.928160i | 0.986011 | + | 0.166680i | \(0.0533047\pi\) |
−0.648188 | + | 0.761480i | \(0.724473\pi\) | |||||||
\(42\) | −1.14529 | − | 0.320202i | −0.176723 | − | 0.0494082i | ||||
\(43\) | 2.38200 | − | 0.420011i | 0.363252 | − | 0.0640511i | 0.0109565 | − | 0.999940i | \(-0.496512\pi\) |
0.352295 | + | 0.935889i | \(0.385401\pi\) | |||||||
\(44\) | −0.000699143 | 0.0832628i | −0.000105400 | 0.0125523i | ||||||
\(45\) | 0.321596 | − | 0.848444i | 0.0479406 | − | 0.126479i | ||||
\(46\) | −6.54116 | − | 6.59631i | −0.964441 | − | 0.972573i | ||||
\(47\) | 5.51016 | − | 4.62358i | 0.803740 | − | 0.674418i | −0.145365 | − | 0.989378i | \(-0.546436\pi\) |
0.949105 | + | 0.314960i | \(0.101991\pi\) | |||||||
\(48\) | 6.56408 | − | 2.21651i | 0.947443 | − | 0.319926i | ||||
\(49\) | 1.17461 | − | 6.66153i | 0.167801 | − | 0.951647i | ||||
\(50\) | 6.27895 | + | 2.96008i | 0.887977 | + | 0.418618i | ||||
\(51\) | −4.22823 | + | 0.716716i | −0.592071 | + | 0.100360i | ||||
\(52\) | 8.51712 | − | 1.42817i | 1.18111 | − | 0.198051i | ||||
\(53\) | − | 9.90799i | − | 1.36097i | −0.732763 | − | 0.680484i | \(-0.761770\pi\) | ||
0.732763 | − | 0.680484i | \(-0.238230\pi\) | |||||||
\(54\) | 2.94445 | + | 6.73277i | 0.400689 | + | 0.916214i | ||||
\(55\) | 0.0125918i | 0.00169788i | ||||||||
\(56\) | −0.564613 | − | 1.25174i | −0.0754495 | − | 0.167271i | ||||
\(57\) | −4.56415 | + | 12.2862i | −0.604537 | + | 1.62734i | ||||
\(58\) | 4.23625 | − | 8.98598i | 0.556247 | − | 1.17992i | ||||
\(59\) | −0.755918 | + | 4.28703i | −0.0984122 | + | 0.558123i | 0.895236 | + | 0.445592i | \(0.147007\pi\) |
−0.993648 | + | 0.112531i | \(0.964104\pi\) | |||||||
\(60\) | 0.989801 | − | 0.343514i | 0.127783 | − | 0.0443475i | ||||
\(61\) | −5.77142 | + | 4.84280i | −0.738955 | + | 0.620057i | −0.932557 | − | 0.361024i | \(-0.882427\pi\) |
0.193602 | + | 0.981080i | \(0.437983\pi\) | |||||||
\(62\) | 3.60621 | − | 3.57605i | 0.457989 | − | 0.454159i | ||||
\(63\) | 1.27088 | − | 0.711473i | 0.160116 | − | 0.0896372i | ||||
\(64\) | 6.82526 | + | 4.17323i | 0.853157 | + | 0.521654i | ||||
\(65\) | 1.28614 | − | 0.226781i | 0.159526 | − | 0.0281287i | ||||
\(66\) | −0.0713258 | − | 0.0728863i | −0.00877960 | − | 0.00897168i | ||||
\(67\) | −3.80965 | − | 10.4669i | −0.465423 | − | 1.27874i | −0.921354 | − | 0.388724i | \(-0.872916\pi\) |
0.455932 | − | 0.890015i | \(-0.349306\pi\) | |||||||
\(68\) | −3.76658 | − | 3.21481i | −0.456765 | − | 0.389853i | ||||
\(69\) | 11.3772 | + | 0.0753378i | 1.36966 | + | 0.00906960i | ||||
\(70\) | −0.0869698 | − | 0.188570i | −0.0103949 | − | 0.0225385i | ||||
\(71\) | −1.68932 | + | 2.92598i | −0.200485 | + | 0.347250i | −0.948685 | − | 0.316223i | \(-0.897585\pi\) |
0.748200 | + | 0.663473i | \(0.230918\pi\) | |||||||
\(72\) | −3.78352 | + | 7.59506i | −0.445892 | + | 0.895087i | ||||
\(73\) | 0.315477 | + | 0.546421i | 0.0369237 | + | 0.0639538i | 0.883897 | − | 0.467682i | \(-0.154911\pi\) |
−0.846973 | + | 0.531636i | \(0.821577\pi\) | |||||||
\(74\) | 5.48386 | − | 7.76221i | 0.637486 | − | 0.902338i | ||||
\(75\) | −8.00817 | + | 2.85483i | −0.924704 | + | 0.329647i | ||||
\(76\) | −14.2644 | + | 5.05658i | −1.63624 | + | 0.580029i | ||||
\(77\) | −0.0129924 | + | 0.0154837i | −0.00148062 | + | 0.00176453i | ||||
\(78\) | −6.16007 | + | 8.59797i | −0.697490 | + | 0.973528i | ||||
\(79\) | 1.03548 | − | 2.84496i | 0.116501 | − | 0.320083i | −0.867714 | − | 0.497065i | \(-0.834411\pi\) |
0.984214 | + | 0.176982i | \(0.0566334\pi\) | |||||||
\(80\) | 1.03741 | + | 0.622407i | 0.115986 | + | 0.0695873i | ||||
\(81\) | −8.37275 | − | 3.30108i | −0.930305 | − | 0.366787i | ||||
\(82\) | −2.27865 | − | 8.64913i | −0.251635 | − | 0.955136i | ||||
\(83\) | −5.41059 | − | 1.96930i | −0.593890 | − | 0.216158i | 0.0275495 | − | 0.999620i | \(-0.491230\pi\) |
−0.621439 | + | 0.783462i | \(0.713452\pi\) | |||||||
\(84\) | 1.57156 | + | 0.598879i | 0.171471 | + | 0.0653430i | ||||
\(85\) | −0.573662 | − | 0.481360i | −0.0622224 | − | 0.0522108i | ||||
\(86\) | −3.40883 | + | 0.283818i | −0.367584 | + | 0.0306049i | ||||
\(87\) | 4.08563 | + | 11.4607i | 0.438025 | + | 1.22872i | ||||
\(88\) | 0.0117397 | − | 0.117169i | 0.00125146 | − | 0.0124902i | ||||
\(89\) | 9.00521 | − | 5.19916i | 0.954550 | − | 0.551110i | 0.0600588 | − | 0.998195i | \(-0.480871\pi\) |
0.894491 | + | 0.447085i | \(0.147538\pi\) | |||||||
\(90\) | −0.562498 | + | 1.15333i | −0.0592925 | + | 0.121571i | ||||
\(91\) | 1.81551 | + | 1.04819i | 0.190317 | + | 0.109880i | ||||
\(92\) | 8.35988 | + | 10.1345i | 0.871577 | + | 1.05660i | ||||
\(93\) | −0.0411872 | + | 6.21994i | −0.00427091 | + | 0.644978i | ||||
\(94\) | −8.35720 | + | 5.79964i | −0.861980 | + | 0.598187i | ||||
\(95\) | −2.15063 | + | 0.782765i | −0.220650 | + | 0.0803100i | ||||
\(96\) | −9.53051 | + | 2.27363i | −0.972704 | + | 0.232051i | ||||
\(97\) | −0.578459 | − | 3.28061i | −0.0587337 | − | 0.333095i | 0.941256 | − | 0.337694i | \(-0.109647\pi\) |
−0.999989 | + | 0.00459941i | \(0.998536\pi\) | |||||||
\(98\) | −2.51468 | + | 9.22972i | −0.254021 | + | 0.932343i | ||||
\(99\) | 0.124888 | + | 0.00165404i | 0.0125517 | + | 0.000166237i | ||||
\(100\) | −8.46030 | − | 4.97974i | −0.846030 | − | 0.497974i | ||||
\(101\) | −10.7344 | − | 12.7927i | −1.06811 | − | 1.27292i | −0.960366 | − | 0.278743i | \(-0.910082\pi\) |
−0.107742 | − | 0.994179i | \(-0.534362\pi\) | |||||||
\(102\) | 6.04720 | − | 0.463190i | 0.598762 | − | 0.0458626i | ||||
\(103\) | 15.6512 | + | 2.75973i | 1.54216 | + | 0.271924i | 0.879098 | − | 0.476640i | \(-0.158146\pi\) |
0.663062 | + | 0.748565i | \(0.269257\pi\) | |||||||
\(104\) | −12.1792 | + | 0.911130i | −1.19426 | + | 0.0893436i | ||||
\(105\) | 0.238411 | + | 0.0885666i | 0.0232665 | + | 0.00864321i | ||||
\(106\) | −1.27982 | + | 13.9534i | −0.124307 | + | 1.35528i | ||||
\(107\) | 1.00162 | 0.0968302 | 0.0484151 | − | 0.998827i | \(-0.484583\pi\) | ||||
0.0484151 | + | 0.998827i | \(0.484583\pi\) | |||||||
\(108\) | −3.27700 | − | 9.86211i | −0.315330 | − | 0.948982i | ||||
\(109\) | 7.26618 | 0.695973 | 0.347987 | − | 0.937499i | \(-0.386865\pi\) | ||||
0.347987 | + | 0.937499i | \(0.386865\pi\) | |||||||
\(110\) | 0.00162649 | − | 0.0177331i | 0.000155080 | − | 0.00169079i | ||||
\(111\) | 1.94530 | + | 11.4762i | 0.184639 | + | 1.08927i | ||||
\(112\) | 0.633458 | + | 1.83576i | 0.0598561 | + | 0.173463i | ||||
\(113\) | 14.2492 | + | 2.51252i | 1.34045 | + | 0.236358i | 0.797456 | − | 0.603377i | \(-0.206179\pi\) |
0.542997 | + | 0.839735i | \(0.317290\pi\) | |||||||
\(114\) | 8.01471 | − | 16.7131i | 0.750647 | − | 1.56532i | ||||
\(115\) | 1.27704 | + | 1.52192i | 0.119085 | + | 0.141920i | ||||
\(116\) | −7.12665 | + | 12.1078i | −0.661693 | + | 1.12418i | ||||
\(117\) | −2.08030 | − | 12.7859i | −0.192324 | − | 1.18206i | ||||
\(118\) | 1.61832 | − | 5.93979i | 0.148978 | − | 0.546802i | ||||
\(119\) | −0.208739 | − | 1.18382i | −0.0191351 | − | 0.108520i | ||||
\(120\) | −1.43831 | + | 0.355918i | −0.131299 | + | 0.0324908i | ||||
\(121\) | 10.3350 | − | 3.76163i | 0.939545 | − | 0.341966i | ||||
\(122\) | 8.75345 | − | 6.07462i | 0.792500 | − | 0.549971i | ||||
\(123\) | 9.45034 | + | 5.53991i | 0.852108 | + | 0.499517i | ||||
\(124\) | −5.54055 | + | 4.57035i | −0.497556 | + | 0.410430i | ||||
\(125\) | −2.59533 | − | 1.49841i | −0.232133 | − | 0.134022i | ||||
\(126\) | −1.88169 | + | 0.837809i | −0.167634 | + | 0.0746379i | ||||
\(127\) | 7.70348 | − | 4.44760i | 0.683573 | − | 0.394661i | −0.117627 | − | 0.993058i | \(-0.537529\pi\) |
0.801200 | + | 0.598397i | \(0.204195\pi\) | |||||||
\(128\) | −9.07296 | − | 6.75879i | −0.801944 | − | 0.597399i | ||||
\(129\) | 2.71408 | − | 3.19136i | 0.238962 | − | 0.280984i | ||||
\(130\) | −1.84057 | + | 0.153245i | −0.161428 | + | 0.0134405i | ||||
\(131\) | −14.8870 | − | 12.4917i | −1.30068 | − | 1.09140i | −0.990027 | − | 0.140881i | \(-0.955006\pi\) |
−0.310657 | − | 0.950522i | \(-0.600549\pi\) | |||||||
\(132\) | 0.0910336 | + | 0.111859i | 0.00792346 | + | 0.00973608i | ||||
\(133\) | −3.45221 | − | 1.25650i | −0.299344 | − | 0.108952i | ||||
\(134\) | 4.01312 | + | 15.2327i | 0.346681 | + | 1.31590i | ||||
\(135\) | −0.508069 | − | 1.48718i | −0.0437276 | − | 0.127996i | ||||
\(136\) | 4.88922 | + | 5.01396i | 0.419247 | + | 0.429943i | ||||
\(137\) | −5.24564 | + | 14.4123i | −0.448165 | + | 1.23132i | 0.485834 | + | 0.874051i | \(0.338516\pi\) |
−0.934000 | + | 0.357274i | \(0.883706\pi\) | |||||||
\(138\) | −16.0128 | − | 1.57570i | −1.36310 | − | 0.134133i | ||||
\(139\) | −5.74324 | + | 6.84453i | −0.487135 | + | 0.580545i | −0.952486 | − | 0.304581i | \(-0.901484\pi\) |
0.465351 | + | 0.885126i | \(0.345928\pi\) | |||||||
\(140\) | 0.0981221 | + | 0.276798i | 0.00829283 | + | 0.0233937i | ||||
\(141\) | 2.24462 | − | 12.2548i | 0.189031 | − | 1.03204i | ||||
\(142\) | 2.75702 | − | 3.90246i | 0.231364 | − | 0.327487i | ||||
\(143\) | 0.0898857 | + | 0.155687i | 0.00751662 | + | 0.0130192i | ||||
\(144\) | 6.30940 | − | 10.2074i | 0.525783 | − | 0.850619i | ||||
\(145\) | −1.06231 | + | 1.83998i | −0.0882203 | + | 0.152802i | ||||
\(146\) | −0.373705 | − | 0.810277i | −0.0309280 | − | 0.0670590i | ||||
\(147\) | −5.79074 | − | 10.1850i | −0.477612 | − | 0.840046i | ||||
\(148\) | −8.72559 | + | 10.2232i | −0.717239 | + | 0.840340i | ||||
\(149\) | 0.588938 | + | 1.61809i | 0.0482477 | + | 0.132559i | 0.961476 | − | 0.274889i | \(-0.0886410\pi\) |
−0.913228 | + | 0.407448i | \(0.866419\pi\) | |||||||
\(150\) | 11.6467 | − | 2.98604i | 0.950948 | − | 0.243809i | ||||
\(151\) | −0.593940 | + | 0.104728i | −0.0483342 | + | 0.00852262i | −0.197763 | − | 0.980250i | \(-0.563368\pi\) |
0.149429 | + | 0.988772i | \(0.452257\pi\) | |||||||
\(152\) | 20.7417 | − | 5.27866i | 1.68238 | − | 0.428155i | ||||
\(153\) | −4.84955 | + | 5.62643i | −0.392063 | + | 0.454870i | ||||
\(154\) | 0.0202972 | − | 0.0201275i | 0.00163560 | − | 0.00162192i | ||||
\(155\) | −0.832036 | + | 0.698161i | −0.0668307 | + | 0.0560776i | ||||
\(156\) | 9.78584 | − | 11.3128i | 0.783494 | − | 0.905752i | ||||
\(157\) | −1.80133 | + | 10.2158i | −0.143762 | + | 0.815313i | 0.824592 | + | 0.565729i | \(0.191405\pi\) |
−0.968353 | + | 0.249584i | \(0.919706\pi\) | |||||||
\(158\) | −1.82575 | + | 3.87281i | −0.145249 | + | 0.308104i | ||||
\(159\) | −10.9437 | − | 13.2190i | −0.867890 | − | 1.04833i | ||||
\(160\) | −1.38059 | − | 1.01054i | −0.109145 | − | 0.0798902i | ||||
\(161\) | 3.18911i | 0.251337i | ||||||||
\(162\) | 11.3650 | + | 5.73043i | 0.892915 | + | 0.450225i | ||||
\(163\) | − | 5.70430i | − | 0.446795i | −0.974727 | − | 0.223397i | \(-0.928285\pi\) | ||
0.974727 | − | 0.223397i | \(-0.0717148\pi\) | |||||||
\(164\) | 2.09182 | + | 12.4749i | 0.163344 | + | 0.974127i | ||||
\(165\) | 0.0139081 | + | 0.0167997i | 0.00108274 | + | 0.00130785i | ||||
\(166\) | 7.36538 | + | 3.47225i | 0.571664 | + | 0.269499i | ||||
\(167\) | 0.911752 | − | 5.17080i | 0.0705535 | − | 0.400129i | −0.928995 | − | 0.370092i | \(-0.879326\pi\) |
0.999549 | − | 0.0300372i | \(-0.00956257\pi\) | |||||||
\(168\) | −2.13587 | − | 1.04640i | −0.164786 | − | 0.0807316i | ||||
\(169\) | 4.32450 | − | 3.62869i | 0.332654 | − | 0.279130i | ||||
\(170\) | 0.745712 | + | 0.752000i | 0.0571935 | + | 0.0576758i | ||||
\(171\) | 7.48108 | + | 21.4331i | 0.572092 | + | 1.63903i | ||||
\(172\) | 4.83733 | + | 0.0406182i | 0.368843 | + | 0.00309711i | ||||
\(173\) | −1.36617 | + | 0.240893i | −0.103868 | + | 0.0183148i | −0.225341 | − | 0.974280i | \(-0.572350\pi\) |
0.121472 | + | 0.992595i | \(0.461238\pi\) | |||||||
\(174\) | −4.27341 | − | 16.6679i | −0.323966 | − | 1.26359i | ||||
\(175\) | −0.815054 | − | 2.23934i | −0.0616123 | − | 0.169278i | ||||
\(176\) | −0.0316678 | + | 0.163493i | −0.00238705 | + | 0.0123237i | ||||
\(177\) | 3.72663 | + | 6.55456i | 0.280110 | + | 0.492671i | ||||
\(178\) | −13.3536 | + | 6.15878i | −1.00090 | + | 0.461620i | ||||
\(179\) | 5.77179 | − | 9.99703i | 0.431403 | − | 0.747213i | −0.565591 | − | 0.824686i | \(-0.691352\pi\) |
0.996994 | + | 0.0774732i | \(0.0246852\pi\) | |||||||
\(180\) | 0.941142 | − | 1.55157i | 0.0701486 | − | 0.115647i | ||||
\(181\) | 8.57298 | + | 14.8488i | 0.637225 | + | 1.10371i | 0.986039 | + | 0.166514i | \(0.0532510\pi\) |
−0.348814 | + | 0.937192i | \(0.613416\pi\) | |||||||
\(182\) | −2.42139 | − | 1.71067i | −0.179486 | − | 0.126803i | ||||
\(183\) | −2.35104 | + | 12.8358i | −0.173794 | + | 0.948852i | ||||
\(184\) | −10.4642 | − | 15.3523i | −0.771427 | − | 1.13179i | ||||
\(185\) | −1.30650 | + | 1.55702i | −0.0960556 | + | 0.114475i | ||||
\(186\) | 0.861437 | − | 8.75424i | 0.0631636 | − | 0.641892i | ||||
\(187\) | 0.0352564 | − | 0.0968660i | 0.00257820 | − | 0.00708355i | ||||
\(188\) | 12.5186 | − | 7.08814i | 0.913014 | − | 0.516956i | ||||
\(189\) | 0.909733 | − | 2.35296i | 0.0661733 | − | 0.171152i | ||||
\(190\) | 3.12985 | − | 0.824572i | 0.227063 | − | 0.0598208i | ||||
\(191\) | −15.5567 | − | 5.66216i | −1.12564 | − | 0.409699i | −0.288933 | − | 0.957349i | \(-0.593300\pi\) |
−0.836708 | + | 0.547650i | \(0.815523\pi\) | |||||||
\(192\) | 13.7155 | − | 1.97090i | 0.989833 | − | 0.142237i | ||||
\(193\) | −6.74355 | − | 5.65851i | −0.485411 | − | 0.407308i | 0.366967 | − | 0.930234i | \(-0.380396\pi\) |
−0.852378 | + | 0.522925i | \(0.824841\pi\) | |||||||
\(194\) | 0.390888 | + | 4.69480i | 0.0280641 | + | 0.337067i | ||||
\(195\) | 1.46544 | − | 1.72315i | 0.104943 | − | 0.123397i | ||||
\(196\) | 4.73363 | − | 12.6734i | 0.338116 | − | 0.905244i | ||||
\(197\) | −10.8232 | + | 6.24879i | −0.771122 | + | 0.445208i | −0.833275 | − | 0.552859i | \(-0.813537\pi\) |
0.0621526 | + | 0.998067i | \(0.480203\pi\) | |||||||
\(198\) | −0.175666 | − | 0.0184612i | −0.0124840 | − | 0.00131198i | ||||
\(199\) | 3.88531 | + | 2.24318i | 0.275422 | + | 0.159015i | 0.631349 | − | 0.775499i | \(-0.282501\pi\) |
−0.355927 | + | 0.934514i | \(0.615835\pi\) | |||||||
\(200\) | 11.2714 | + | 8.10580i | 0.797010 | + | 0.573166i | ||||
\(201\) | −16.6438 | − | 9.75679i | −1.17396 | − | 0.688191i | ||||
\(202\) | 13.4648 | + | 19.4026i | 0.947378 | + | 1.36516i | ||||
\(203\) | −3.20479 | + | 1.16645i | −0.224932 | + | 0.0818686i | ||||
\(204\) | −8.57612 | − | 0.128809i | −0.600449 | − | 0.00901841i | ||||
\(205\) | 0.332164 | + | 1.88379i | 0.0231993 | + | 0.131570i | ||||
\(206\) | −21.6852 | − | 5.90821i | −1.51088 | − | 0.411644i | ||||
\(207\) | 15.2624 | − | 12.4660i | 1.06081 | − | 0.866446i | ||||
\(208\) | 17.2696 | + | 0.290040i | 1.19743 | + | 0.0201107i | ||||
\(209\) | −0.202503 | − | 0.241333i | −0.0140074 | − | 0.0166934i | ||||
\(210\) | −0.324314 | − | 0.155524i | −0.0223798 | − | 0.0107322i | ||||
\(211\) | 22.1033 | + | 3.89740i | 1.52165 | + | 0.268308i | 0.871082 | − | 0.491138i | \(-0.163419\pi\) |
0.650570 | + | 0.759446i | \(0.274530\pi\) | |||||||
\(212\) | 3.60475 | − | 19.4854i | 0.247575 | − | 1.33826i | ||||
\(213\) | 0.978000 | + | 5.76966i | 0.0670114 | + | 0.395331i | ||||
\(214\) | −1.41058 | − | 0.129380i | −0.0964254 | − | 0.00884421i | ||||
\(215\) | 0.731549 | 0.0498912 | ||||||||
\(216\) | 3.34112 | + | 14.3121i | 0.227334 | + | 0.973817i | ||||
\(217\) | −1.74349 | −0.118356 | ||||||||
\(218\) | −10.2330 | − | 0.938575i | −0.693064 | − | 0.0635683i | ||||
\(219\) | 1.02444 | + | 0.380566i | 0.0692252 | + | 0.0257163i | ||||
\(220\) | −0.00458119 | + | 0.0247635i | −0.000308864 | + | 0.00166955i | ||||
\(221\) | −10.5289 | − | 1.85654i | −0.708253 | − | 0.124884i | ||||
\(222\) | −1.25718 | − | 16.4132i | −0.0843765 | − | 1.10158i | ||||
\(223\) | −11.7737 | − | 14.0314i | −0.788428 | − | 0.939612i | 0.210854 | − | 0.977518i | \(-0.432376\pi\) |
−0.999281 | + | 0.0379061i | \(0.987931\pi\) | |||||||
\(224\) | −0.654974 | − | 2.66712i | −0.0437623 | − | 0.178205i | ||||
\(225\) | −7.53103 | + | 12.6541i | −0.502068 | + | 0.843606i | ||||
\(226\) | −19.7426 | − | 5.37896i | −1.31326 | − | 0.357803i | ||||
\(227\) | 3.40406 | + | 19.3054i | 0.225936 | + | 1.28134i | 0.860888 | + | 0.508794i | \(0.169908\pi\) |
−0.634953 | + | 0.772551i | \(0.718980\pi\) | |||||||
\(228\) | −13.4460 | + | 22.5018i | −0.890481 | + | 1.49022i | ||||
\(229\) | −5.32626 | + | 1.93860i | −0.351969 | + | 0.128106i | −0.511953 | − | 0.859013i | \(-0.671078\pi\) |
0.159984 | + | 0.987120i | \(0.448856\pi\) | |||||||
\(230\) | −1.60188 | − | 2.30828i | −0.105625 | − | 0.152204i | ||||
\(231\) | −0.000231818 | 0.0350083i | −1.52525e−5 | 0.00230338i | ||||||
\(232\) | 11.6004 | − | 16.1309i | 0.761606 | − | 1.05904i | ||||
\(233\) | 6.50499 | + | 3.75566i | 0.426156 | + | 0.246041i | 0.697708 | − | 0.716383i | \(-0.254203\pi\) |
−0.271552 | + | 0.962424i | \(0.587537\pi\) | |||||||
\(234\) | 1.27813 | + | 18.2751i | 0.0835543 | + | 1.19468i | ||||
\(235\) | 1.88406 | − | 1.08776i | 0.122902 | − | 0.0709577i | ||||
\(236\) | −3.04633 | + | 8.15597i | −0.198299 | + | 0.530909i | ||||
\(237\) | −1.76083 | − | 4.93938i | −0.114379 | − | 0.320847i | ||||
\(238\) | 0.141053 | + | 1.69414i | 0.00914313 | + | 0.109814i | ||||
\(239\) | 4.95760 | + | 4.15992i | 0.320680 | + | 0.269083i | 0.788890 | − | 0.614535i | \(-0.210656\pi\) |
−0.468209 | + | 0.883618i | \(0.655101\pi\) | |||||||
\(240\) | 2.07155 | − | 0.315453i | 0.133718 | − | 0.0203624i | ||||
\(241\) | 0.652071 | + | 0.237335i | 0.0420036 | + | 0.0152881i | 0.362937 | − | 0.931814i | \(-0.381774\pi\) |
−0.320933 | + | 0.947102i | \(0.603996\pi\) | |||||||
\(242\) | −15.0407 | + | 3.96253i | −0.966852 | + | 0.254721i | ||||
\(243\) | −14.8168 | + | 4.84375i | −0.950499 | + | 0.310727i | ||||
\(244\) | −13.1122 | + | 7.42422i | −0.839420 | + | 0.475287i | ||||
\(245\) | 0.699725 | − | 1.92248i | 0.0447038 | − | 0.122823i | ||||
\(246\) | −12.5933 | − | 9.02257i | −0.802922 | − | 0.575258i | ||||
\(247\) | −21.0029 | + | 25.0302i | −1.33638 | + | 1.59264i | ||||
\(248\) | 8.39312 | − | 5.72076i | 0.532964 | − | 0.363269i | ||||
\(249\) | −9.39381 | + | 3.34879i | −0.595308 | + | 0.212221i | ||||
\(250\) | 3.46146 | + | 2.44546i | 0.218922 | + | 0.154664i | ||||
\(251\) | −1.09113 | − | 1.88989i | −0.0688715 | − | 0.119289i | 0.829533 | − | 0.558457i | \(-0.188607\pi\) |
−0.898405 | + | 0.439168i | \(0.855273\pi\) | |||||||
\(252\) | 2.75821 | − | 0.936829i | 0.173751 | − | 0.0590147i | ||||
\(253\) | −0.136739 | + | 0.236839i | −0.00859670 | + | 0.0148899i | ||||
\(254\) | −11.4233 | + | 5.26851i | −0.716763 | + | 0.330576i | ||||
\(255\) | −1.29704 | − | 0.00858874i | −0.0812238 | − | 0.000537848i | ||||
\(256\) | 11.9044 | + | 10.6904i | 0.744027 | + | 0.668149i | ||||
\(257\) | −4.92162 | − | 13.5220i | −0.307002 | − | 0.843481i | −0.993237 | − | 0.116102i | \(-0.962960\pi\) |
0.686235 | − | 0.727380i | \(-0.259262\pi\) | |||||||
\(258\) | −4.23448 | + | 4.14382i | −0.263627 | + | 0.257983i | ||||
\(259\) | −3.21309 | + | 0.566555i | −0.199652 | + | 0.0352040i | ||||
\(260\) | 2.61187 | + | 0.0219314i | 0.161981 | + | 0.00136013i | ||||
\(261\) | 18.1096 | + | 10.7779i | 1.12096 | + | 0.667133i | ||||
\(262\) | 19.3518 | + | 19.5150i | 1.19556 | + | 1.20564i | ||||
\(263\) | −7.84733 | + | 6.58469i | −0.483887 | + | 0.406029i | −0.851829 | − | 0.523819i | \(-0.824507\pi\) |
0.367943 | + | 0.929849i | \(0.380062\pi\) | |||||||
\(264\) | −0.113754 | − | 0.169290i | −0.00700107 | − | 0.0104191i | ||||
\(265\) | 0.520366 | − | 2.95114i | 0.0319658 | − | 0.181287i | ||||
\(266\) | 4.69945 | + | 2.21546i | 0.288142 | + | 0.135838i | ||||
\(267\) | 6.27186 | − | 16.8831i | 0.383831 | − | 1.03323i | ||||
\(268\) | −3.68407 | − | 21.9706i | −0.225041 | − | 1.34207i | ||||
\(269\) | 3.15222i | 0.192194i | 0.995372 | + | 0.0960971i | \(0.0306359\pi\) | ||||
−0.995372 | + | 0.0960971i | \(0.969364\pi\) | |||||||
\(270\) | 0.523415 | + | 2.16003i | 0.0318540 | + | 0.131455i | ||||
\(271\) | − | 3.33151i | − | 0.202375i | −0.994867 | − | 0.101188i | \(-0.967736\pi\) | ||
0.994867 | − | 0.101188i | \(-0.0322642\pi\) | |||||||
\(272\) | −6.23785 | − | 7.69271i | −0.378225 | − | 0.466439i | ||||
\(273\) | 3.57995 | − | 0.606828i | 0.216669 | − | 0.0367269i | ||||
\(274\) | 9.24909 | − | 19.6193i | 0.558758 | − | 1.18524i | ||||
\(275\) | 0.0354861 | − | 0.201251i | 0.00213989 | − | 0.0121359i | ||||
\(276\) | 22.3474 | + | 4.28745i | 1.34516 | + | 0.258074i | ||||
\(277\) | 3.19860 | − | 2.68395i | 0.192186 | − | 0.161263i | −0.541618 | − | 0.840625i | \(-0.682188\pi\) |
0.733803 | + | 0.679362i | \(0.237743\pi\) | |||||||
\(278\) | 8.97233 | − | 8.89730i | 0.538124 | − | 0.533625i | ||||
\(279\) | 6.81516 | + | 8.34396i | 0.408013 | + | 0.499540i | ||||
\(280\) | −0.102431 | − | 0.402489i | −0.00612145 | − | 0.0240533i | ||||
\(281\) | 19.3295 | − | 3.40832i | 1.15310 | − | 0.203323i | 0.435773 | − | 0.900057i | \(-0.356475\pi\) |
0.717330 | + | 0.696733i | \(0.245364\pi\) | |||||||
\(282\) | −4.74406 | + | 16.9685i | −0.282505 | + | 1.01046i | ||||
\(283\) | −5.26641 | − | 14.4693i | −0.313055 | − | 0.860113i | −0.992036 | − | 0.125956i | \(-0.959800\pi\) |
0.678980 | − | 0.734156i | \(-0.262422\pi\) | |||||||
\(284\) | −4.38680 | + | 5.13971i | −0.260309 | + | 0.304986i | ||||
\(285\) | −2.00472 | + | 3.41978i | −0.118749 | + | 0.202570i | ||||
\(286\) | −0.106476 | − | 0.230864i | −0.00629606 | − | 0.0136513i | ||||
\(287\) | −1.53526 | + | 2.65916i | −0.0906238 | + | 0.156965i | ||||
\(288\) | −10.2040 | + | 13.5602i | −0.601279 | + | 0.799040i | ||||
\(289\) | −5.43473 | − | 9.41323i | −0.319690 | − | 0.553720i | ||||
\(290\) | 1.73373 | − | 2.45403i | 0.101808 | − | 0.144106i | ||||
\(291\) | −4.39529 | − | 3.73796i | −0.257657 | − | 0.219123i | ||||
\(292\) | 0.421625 | + | 1.18939i | 0.0246738 | + | 0.0696036i | ||||
\(293\) | 11.9699 | − | 14.2652i | 0.699290 | − | 0.833382i | −0.293156 | − | 0.956065i | \(-0.594705\pi\) |
0.992446 | + | 0.122683i | \(0.0391498\pi\) | |||||||
\(294\) | 6.83951 | + | 15.0916i | 0.398888 | + | 0.880158i | ||||
\(295\) | −0.450307 | + | 1.23721i | −0.0262179 | + | 0.0720331i | ||||
\(296\) | 13.6088 | − | 13.2702i | 0.790995 | − | 0.771317i | ||||
\(297\) | 0.168448 | − | 0.135736i | 0.00977437 | − | 0.00787617i | ||||
\(298\) | −0.620393 | − | 2.35484i | −0.0359384 | − | 0.136412i | ||||
\(299\) | 26.6536 | + | 9.70110i | 1.54142 | + | 0.561029i | ||||
\(300\) | −16.7878 | + | 2.70084i | −0.969242 | + | 0.155933i | ||||
\(301\) | 0.899557 | + | 0.754818i | 0.0518496 | + | 0.0435070i | ||||
\(302\) | 0.849975 | − | 0.0707687i | 0.0489106 | − | 0.00407228i | ||||
\(303\) | −28.4514 | − | 5.21123i | −1.63449 | − | 0.299378i | ||||
\(304\) | −29.8924 | + | 4.75473i | −1.71445 | + | 0.272702i | ||||
\(305\) | −1.97339 | + | 1.13934i | −0.112996 | + | 0.0652382i | ||||
\(306\) | 7.55640 | − | 7.29730i | 0.431970 | − | 0.417159i | ||||
\(307\) | −17.7533 | − | 10.2499i | −1.01323 | − | 0.584990i | −0.101096 | − | 0.994877i | \(-0.532235\pi\) |
−0.912136 | + | 0.409887i | \(0.865568\pi\) | |||||||
\(308\) | −0.0311845 | + | 0.0257238i | −0.00177690 | + | 0.00146575i | ||||
\(309\) | 23.9296 | − | 13.6053i | 1.36131 | − | 0.773978i | ||||
\(310\) | 1.26194 | − | 0.875747i | 0.0716733 | − | 0.0497391i | ||||
\(311\) | 18.8205 | − | 6.85012i | 1.06722 | − | 0.388435i | 0.252081 | − | 0.967706i | \(-0.418885\pi\) |
0.815135 | + | 0.579272i | \(0.196663\pi\) | |||||||
\(312\) | −15.2427 | + | 14.6678i | −0.862948 | + | 0.830403i | ||||
\(313\) | −3.06340 | − | 17.3734i | −0.173154 | − | 0.982003i | −0.940253 | − | 0.340475i | \(-0.889412\pi\) |
0.767100 | − | 0.641528i | \(-0.221699\pi\) | |||||||
\(314\) | 3.85640 | − | 14.1543i | 0.217629 | − | 0.798774i | ||||
\(315\) | 0.415905 | − | 0.145169i | 0.0234336 | − | 0.00817935i | ||||
\(316\) | 3.07146 | − | 5.21825i | 0.172783 | − | 0.293549i | ||||
\(317\) | 2.76189 | + | 3.29149i | 0.155123 | + | 0.184868i | 0.838009 | − | 0.545657i | \(-0.183720\pi\) |
−0.682886 | + | 0.730525i | \(0.739275\pi\) | |||||||
\(318\) | 13.7045 | + | 20.0299i | 0.768511 | + | 1.12322i | ||||
\(319\) | −0.288017 | − | 0.0507851i | −0.0161258 | − | 0.00284342i | ||||
\(320\) | 1.81376 | + | 1.60148i | 0.101392 | + | 0.0895253i | ||||
\(321\) | 1.33633 | − | 1.10632i | 0.0745867 | − | 0.0617487i | ||||
\(322\) | 0.411939 | − | 4.49123i | 0.0229565 | − | 0.250287i | ||||
\(323\) | 18.7360 | 1.04250 | ||||||||
\(324\) | −15.2651 | − | 9.53819i | −0.848060 | − | 0.529900i | ||||
\(325\) | −21.1951 | −1.17569 | ||||||||
\(326\) | −0.736827 | + | 8.03337i | −0.0408090 | + | 0.444927i | ||||
\(327\) | 9.69432 | − | 8.02571i | 0.536097 | − | 0.443823i | ||||
\(328\) | −1.33452 | − | 17.8387i | −0.0736866 | − | 0.984975i | ||||
\(329\) | 3.43911 | + | 0.606408i | 0.189604 | + | 0.0334323i | ||||
\(330\) | −0.0174168 | − | 0.0254555i | −0.000958761 | − | 0.00140128i | ||||
\(331\) | 12.9390 | + | 15.4201i | 0.711190 | + | 0.847563i | 0.993743 | − | 0.111689i | \(-0.0356259\pi\) |
−0.282554 | + | 0.959252i | \(0.591181\pi\) | |||||||
\(332\) | −9.92416 | − | 5.84137i | −0.544659 | − | 0.320587i | ||||
\(333\) | 15.2712 | + | 13.1625i | 0.836854 | + | 0.721303i | ||||
\(334\) | −1.95194 | + | 7.16428i | −0.106805 | + | 0.392012i | ||||
\(335\) | −0.585001 | − | 3.31770i | −0.0319620 | − | 0.181266i | ||||
\(336\) | 2.87279 | + | 1.74954i | 0.156724 | + | 0.0954453i | ||||
\(337\) | −12.4122 | + | 4.51765i | −0.676133 | + | 0.246092i | −0.657186 | − | 0.753728i | \(-0.728254\pi\) |
−0.0189468 | + | 0.999820i | \(0.506031\pi\) | |||||||
\(338\) | −6.55893 | + | 4.55169i | −0.356759 | + | 0.247579i | ||||
\(339\) | 21.7860 | − | 12.3866i | 1.18326 | − | 0.672745i | ||||
\(340\) | −0.953052 | − | 1.15537i | −0.0516865 | − | 0.0626586i | ||||
\(341\) | −0.129480 | − | 0.0747552i | −0.00701173 | − | 0.00404822i | ||||
\(342\) | −7.76709 | − | 31.1506i | −0.419996 | − | 1.68443i | ||||
\(343\) | 5.78720 | − | 3.34124i | 0.312480 | − | 0.180410i | ||||
\(344\) | −6.80717 | − | 0.682042i | −0.367018 | − | 0.0367733i | ||||
\(345\) | 3.38480 | + | 0.619970i | 0.182232 | + | 0.0333780i | ||||
\(346\) | 1.95510 | − | 0.162781i | 0.105107 | − | 0.00875117i | ||||
\(347\) | 13.6769 | + | 11.4763i | 0.734213 | + | 0.616078i | 0.931277 | − | 0.364313i | \(-0.118696\pi\) |
−0.197064 | + | 0.980391i | \(0.563141\pi\) | |||||||
\(348\) | 3.86525 | + | 24.0255i | 0.207199 | + | 1.28790i | ||||
\(349\) | 12.2841 | + | 4.47105i | 0.657554 | + | 0.239330i | 0.649180 | − | 0.760635i | \(-0.275112\pi\) |
0.00837388 | + | 0.999965i | \(0.497334\pi\) | |||||||
\(350\) | 0.858586 | + | 3.25895i | 0.0458933 | + | 0.174198i | ||||
\(351\) | −16.8979 | − | 14.7608i | −0.901944 | − | 0.787875i | ||||
\(352\) | 0.0657163 | − | 0.226157i | 0.00350269 | − | 0.0120542i | ||||
\(353\) | 7.34903 | − | 20.1913i | 0.391149 | − | 1.07467i | −0.575328 | − | 0.817923i | \(-0.695126\pi\) |
0.966477 | − | 0.256751i | \(-0.0826521\pi\) | |||||||
\(354\) | −4.40156 | − | 9.71217i | −0.233940 | − | 0.516196i | ||||
\(355\) | −0.656843 | + | 0.782795i | −0.0348616 | + | 0.0415464i | ||||
\(356\) | 19.6015 | − | 6.94853i | 1.03888 | − | 0.368271i | ||||
\(357\) | −1.58606 | − | 1.34886i | −0.0839430 | − | 0.0713890i | ||||
\(358\) | −9.41974 | + | 13.3333i | −0.497849 | + | 0.704686i | ||||
\(359\) | 9.46695 | + | 16.3972i | 0.499647 | + | 0.865413i | 1.00000 | 0.000407927i | \(-0.000129847\pi\) | |
−0.500353 | + | 0.865821i | \(0.666797\pi\) | |||||||
\(360\) | −1.52583 | + | 2.06351i | −0.0804183 | + | 0.108757i | ||||
\(361\) | 19.1302 | − | 33.1344i | 1.00685 | − | 1.74392i | ||||
\(362\) | −10.1553 | − | 22.0190i | −0.533752 | − | 1.15729i | ||||
\(363\) | 9.63381 | − | 16.4340i | 0.505644 | − | 0.862560i | ||||
\(364\) | 3.18908 | + | 2.72191i | 0.167153 | + | 0.142667i | ||||
\(365\) | 0.0652682 | + | 0.179323i | 0.00341629 | + | 0.00938619i | ||||
\(366\) | 4.96899 | − | 17.7730i | 0.259733 | − | 0.929012i | ||||
\(367\) | −23.4580 | + | 4.13627i | −1.22450 | + | 0.215912i | −0.748260 | − | 0.663406i | \(-0.769110\pi\) |
−0.476236 | + | 0.879317i | \(0.657999\pi\) | |||||||
\(368\) | 12.7536 | + | 22.9724i | 0.664828 | + | 1.19752i | ||||
\(369\) | 18.7274 | − | 3.04700i | 0.974908 | − | 0.158620i | ||||
\(370\) | 2.04106 | − | 2.02400i | 0.106110 | − | 0.105223i | ||||
\(371\) | 3.68488 | − | 3.09198i | 0.191310 | − | 0.160528i | ||||
\(372\) | −2.34395 | + | 12.2173i | −0.121528 | + | 0.633439i | ||||
\(373\) | −3.76380 | + | 21.3456i | −0.194882 | + | 1.10523i | 0.717705 | + | 0.696348i | \(0.245193\pi\) |
−0.912587 | + | 0.408883i | \(0.865918\pi\) | |||||||
\(374\) | −0.0621638 | + | 0.131863i | −0.00321442 | + | 0.00681845i | ||||
\(375\) | −5.11766 | + | 0.867480i | −0.264275 | + | 0.0447965i | ||||
\(376\) | −18.5456 | + | 8.36521i | −0.956415 | + | 0.431403i | ||||
\(377\) | 30.3329i | 1.56222i | ||||||||
\(378\) | −1.58511 | + | 3.19616i | −0.0815293 | + | 0.164393i | ||||
\(379\) | 33.6783i | 1.72994i | 0.501825 | + | 0.864969i | \(0.332662\pi\) | ||||
−0.501825 | + | 0.864969i | \(0.667338\pi\) | |||||||
\(380\) | −4.51428 | + | 0.756963i | −0.231578 | + | 0.0388314i | ||||
\(381\) | 5.36524 | − | 14.4426i | 0.274870 | − | 0.739916i | ||||
\(382\) | 21.1771 | + | 9.98349i | 1.08351 | + | 0.510800i | ||||
\(383\) | 0.261068 | − | 1.48059i | 0.0133400 | − | 0.0756548i | −0.977411 | − | 0.211347i | \(-0.932215\pi\) |
0.990751 | + | 0.135693i | \(0.0433260\pi\) | |||||||
\(384\) | −19.5702 | + | 1.00398i | −0.998687 | + | 0.0512341i | ||||
\(385\) | −0.00468303 | + | 0.00392953i | −0.000238670 | + | 0.000200268i | ||||
\(386\) | 8.76604 | + | 8.83996i | 0.446180 | + | 0.449942i | ||||
\(387\) | 0.0960946 | − | 7.25561i | 0.00488476 | − | 0.368823i | ||||
\(388\) | 0.0559413 | − | 6.66219i | 0.00283999 | − | 0.338222i | ||||
\(389\) | −3.80299 | + | 0.670570i | −0.192819 | + | 0.0339993i | −0.269224 | − | 0.963078i | \(-0.586767\pi\) |
0.0764044 | + | 0.997077i | \(0.475656\pi\) | |||||||
\(390\) | −2.28637 | + | 2.23742i | −0.115775 | + | 0.113296i | ||||
\(391\) | −5.56271 | − | 15.2834i | −0.281318 | − | 0.772916i | ||||
\(392\) | −8.30341 | + | 17.2366i | −0.419386 | + | 0.870578i | ||||
\(393\) | −33.6593 | − | 0.222885i | −1.69788 | − | 0.0112431i | ||||
\(394\) | 16.0495 | − | 7.40214i | 0.808563 | − | 0.372914i | ||||
\(395\) | 0.457839 | − | 0.793000i | 0.0230364 | − | 0.0399002i | ||||
\(396\) | 0.245006 | + | 0.0486898i | 0.0123120 | + | 0.00244675i | ||||
\(397\) | −9.80431 | − | 16.9816i | −0.492064 | − | 0.852280i | 0.507894 | − | 0.861419i | \(-0.330424\pi\) |
−0.999958 | + | 0.00913954i | \(0.997091\pi\) | |||||||
\(398\) | −5.18193 | − | 3.66095i | −0.259747 | − | 0.183507i | ||||
\(399\) | −5.99368 | + | 2.13668i | −0.300059 | + | 0.106968i | ||||
\(400\) | −14.8265 | − | 12.8713i | −0.741327 | − | 0.643567i | ||||
\(401\) | −13.9437 | + | 16.6175i | −0.696316 | + | 0.829838i | −0.992104 | − | 0.125416i | \(-0.959973\pi\) |
0.295788 | + | 0.955254i | \(0.404418\pi\) | |||||||
\(402\) | 22.1792 | + | 15.8904i | 1.10620 | + | 0.792541i | ||||
\(403\) | −5.30360 | + | 14.5715i | −0.264191 | + | 0.725859i | ||||
\(404\) | −16.4562 | − | 29.0639i | −0.818728 | − | 1.44598i | ||||
\(405\) | −2.32049 | − | 1.42298i | −0.115306 | − | 0.0707083i | ||||
\(406\) | 4.66398 | − | 1.22875i | 0.231470 | − | 0.0609817i | ||||
\(407\) | −0.262912 | − | 0.0956921i | −0.0130321 | − | 0.00474328i | ||||
\(408\) | 12.0611 | + | 1.28918i | 0.597115 | + | 0.0638241i | ||||
\(409\) | −8.42462 | − | 7.06909i | −0.416570 | − | 0.349544i | 0.410286 | − | 0.911957i | \(-0.365429\pi\) |
−0.826857 | + | 0.562413i | \(0.809873\pi\) | |||||||
\(410\) | −0.224456 | − | 2.69586i | −0.0110851 | − | 0.133139i | ||||
\(411\) | 8.92022 | + | 25.0224i | 0.440002 | + | 1.23426i | ||||
\(412\) | 29.7761 | + | 11.1216i | 1.46696 | + | 0.547923i | ||||
\(413\) | −1.83029 | + | 1.05672i | −0.0900626 | + | 0.0519976i | ||||
\(414\) | −23.1043 | + | 15.5844i | −1.13551 | + | 0.765933i | ||||
\(415\) | −1.50814 | − | 0.870727i | −0.0740319 | − | 0.0427423i | ||||
\(416\) | −24.2834 | − | 2.63919i | −1.19059 | − | 0.129397i | ||||
\(417\) | −0.102475 | + | 15.4754i | −0.00501821 | + | 0.757831i | ||||
\(418\) | 0.254012 | + | 0.366028i | 0.0124241 | + | 0.0179030i | ||||
\(419\) | −22.7569 | + | 8.28284i | −1.11175 | + | 0.404643i | −0.831635 | − | 0.555323i | \(-0.812595\pi\) |
−0.280114 | + | 0.959967i | \(0.590372\pi\) | |||||||
\(420\) | 0.436643 | + | 0.260917i | 0.0213060 | + | 0.0127314i | ||||
\(421\) | 6.35770 | + | 36.0563i | 0.309855 | + | 1.75728i | 0.599721 | + | 0.800209i | \(0.295278\pi\) |
−0.289866 | + | 0.957067i | \(0.593611\pi\) | |||||||
\(422\) | −30.6247 | − | 8.34381i | −1.49078 | − | 0.406170i | ||||
\(423\) | −10.5411 | − | 18.8292i | −0.512525 | − | 0.915508i | ||||
\(424\) | −7.59351 | + | 26.9756i | −0.368773 | + | 1.31005i | ||||
\(425\) | 7.81210 | + | 9.31010i | 0.378942 | + | 0.451606i | ||||
\(426\) | −0.632049 | − | 8.25176i | −0.0306229 | − | 0.399799i | ||||
\(427\) | −3.60217 | − | 0.635160i | −0.174321 | − | 0.0307375i | ||||
\(428\) | 1.96981 | + | 0.364411i | 0.0952146 | + | 0.0176145i | ||||
\(429\) | 0.291883 | + | 0.108431i | 0.0140923 | + | 0.00523510i | ||||
\(430\) | −1.03024 | − | 0.0944945i | −0.0496827 | − | 0.00455693i | ||||
\(431\) | −38.5608 | −1.85741 | −0.928705 | − | 0.370820i | \(-0.879077\pi\) | ||||
−0.928705 | + | 0.370820i | \(0.879077\pi\) | |||||||
\(432\) | −2.85660 | − | 20.5874i | −0.137438 | − | 0.990510i | ||||
\(433\) | −6.56251 | −0.315374 | −0.157687 | − | 0.987489i | \(-0.550404\pi\) | ||||
−0.157687 | + | 0.987489i | \(0.550404\pi\) | |||||||
\(434\) | 2.45536 | + | 0.225207i | 0.117861 | + | 0.0108103i | ||||
\(435\) | 0.615007 | + | 3.62821i | 0.0294873 | + | 0.173959i | ||||
\(436\) | 14.2899 | + | 2.64360i | 0.684361 | + | 0.126605i | ||||
\(437\) | −48.9513 | − | 8.63143i | −2.34166 | − | 0.412897i | ||||
\(438\) | −1.39356 | − | 0.668279i | −0.0665869 | − | 0.0319316i | ||||
\(439\) | −1.17279 | − | 1.39768i | −0.0559744 | − | 0.0667077i | 0.737331 | − | 0.675532i | \(-0.236086\pi\) |
−0.793305 | + | 0.608824i | \(0.791641\pi\) | |||||||
\(440\) | 0.00965041 | − | 0.0342827i | 0.000460065 | − | 0.00163437i | ||||
\(441\) | −18.9755 | − | 7.19250i | −0.903595 | − | 0.342500i | ||||
\(442\) | 14.5881 | + | 3.97459i | 0.693886 | + | 0.189052i | ||||
\(443\) | −0.302973 | − | 1.71824i | −0.0143947 | − | 0.0816362i | 0.976764 | − | 0.214317i | \(-0.0687526\pi\) |
−0.991159 | + | 0.132681i | \(0.957641\pi\) | |||||||
\(444\) | −0.349610 | + | 23.2771i | −0.0165918 | + | 1.10468i | ||||
\(445\) | 2.95530 | − | 1.07564i | 0.140095 | − | 0.0509903i | ||||
\(446\) | 14.7685 | + | 21.2813i | 0.699310 | + | 1.00770i | ||||
\(447\) | 2.57298 | + | 1.50831i | 0.121698 | + | 0.0713408i | ||||
\(448\) | 0.577888 | + | 3.84072i | 0.0273026 | + | 0.181457i | ||||
\(449\) | 8.00158 | + | 4.61971i | 0.377618 | + | 0.218018i | 0.676781 | − | 0.736184i | \(-0.263374\pi\) |
−0.299164 | + | 0.954202i | \(0.596708\pi\) | |||||||
\(450\) | 12.2405 | − | 16.8480i | 0.577022 | − | 0.794223i | ||||
\(451\) | −0.228032 | + | 0.131654i | −0.0107376 | + | 0.00619937i | ||||
\(452\) | 27.1088 | + | 10.1254i | 1.27509 | + | 0.476258i | ||||
\(453\) | −0.676743 | + | 0.795750i | −0.0317962 | + | 0.0373876i | ||||
\(454\) | −2.30026 | − | 27.6275i | −0.107957 | − | 1.29663i | ||||
\(455\) | 0.485708 | + | 0.407557i | 0.0227703 | + | 0.0191066i | ||||
\(456\) | 21.8426 | − | 29.9525i | 1.02287 | − | 1.40265i | ||||
\(457\) | 25.9190 | + | 9.43376i | 1.21244 | + | 0.441293i | 0.867550 | − | 0.497350i | \(-0.165694\pi\) |
0.344891 | + | 0.938643i | \(0.387916\pi\) | |||||||
\(458\) | 7.75140 | − | 2.04214i | 0.362199 | − | 0.0954229i | ||||
\(459\) | −0.255560 | + | 12.8631i | −0.0119285 | + | 0.600398i | ||||
\(460\) | 1.95776 | + | 3.45767i | 0.0912812 | + | 0.161215i | ||||
\(461\) | 7.09177 | − | 19.4845i | 0.330297 | − | 0.907483i | −0.657737 | − | 0.753247i | \(-0.728486\pi\) |
0.988034 | − | 0.154236i | \(-0.0492915\pi\) | |||||||
\(462\) | 0.00484851 | − | 0.0492724i | 0.000225573 | − | 0.00229236i | ||||
\(463\) | −6.16175 | + | 7.34328i | −0.286361 | + | 0.341271i | −0.889979 | − | 0.456002i | \(-0.849281\pi\) |
0.603618 | + | 0.797274i | \(0.293725\pi\) | |||||||
\(464\) | −18.4206 | + | 21.2187i | −0.855153 | + | 0.985053i | ||||
\(465\) | −0.338938 | + | 1.85047i | −0.0157179 | + | 0.0858137i | ||||
\(466\) | −8.67587 | − | 6.12935i | −0.401902 | − | 0.283937i | ||||
\(467\) | −8.74737 | − | 15.1509i | −0.404780 | − | 0.701099i | 0.589516 | − | 0.807757i | \(-0.299319\pi\) |
−0.994296 | + | 0.106657i | \(0.965985\pi\) | |||||||
\(468\) | 0.560608 | − | 25.9020i | 0.0259141 | − | 1.19732i | ||||
\(469\) | 2.70388 | − | 4.68326i | 0.124854 | − | 0.216253i | ||||
\(470\) | −2.79383 | + | 1.28853i | −0.128870 | + | 0.0594355i | ||||
\(471\) | 8.88042 | + | 15.6193i | 0.409188 | + | 0.719699i | ||||
\(472\) | 5.34366 | − | 11.0926i | 0.245962 | − | 0.510577i | ||||
\(473\) | 0.0344412 | + | 0.0946266i | 0.00158361 | + | 0.00435093i | ||||
\(474\) | 1.84177 | + | 7.18358i | 0.0845951 | + | 0.329953i | ||||
\(475\) | 36.5788 | − | 6.44983i | 1.67835 | − | 0.295938i | ||||
\(476\) | 0.0201866 | − | 2.40407i | 0.000925251 | − | 0.110191i | ||||
\(477\) | −29.2015 | − | 5.54872i | −1.33704 | − | 0.254058i | ||||
\(478\) | −6.44446 | − | 6.49880i | −0.294763 | − | 0.297248i | ||||
\(479\) | 20.0678 | − | 16.8388i | 0.916919 | − | 0.769386i | −0.0565037 | − | 0.998402i | \(-0.517995\pi\) |
0.973423 | + | 0.229016i | \(0.0735508\pi\) | |||||||
\(480\) | −2.95812 | + | 0.176671i | −0.135019 | + | 0.00806388i | ||||
\(481\) | −5.03898 | + | 28.5775i | −0.229758 | + | 1.30302i | ||||
\(482\) | −0.887657 | − | 0.418467i | −0.0404317 | − | 0.0190607i | ||||
\(483\) | 3.52247 | + | 4.25482i | 0.160278 | + | 0.193601i | ||||
\(484\) | 21.6937 | − | 3.63763i | 0.986076 | − | 0.165347i | ||||
\(485\) | − | 1.00752i | − | 0.0457493i | ||||||
\(486\) | 21.4922 | − | 4.90757i | 0.974907 | − | 0.222612i | ||||
\(487\) | − | 7.10957i | − | 0.322166i | −0.986941 | − | 0.161083i | \(-0.948501\pi\) | ||
0.986941 | − | 0.161083i | \(-0.0514986\pi\) | |||||||
\(488\) | 19.4249 | − | 8.76184i | 0.879323 | − | 0.396630i | ||||
\(489\) | −6.30057 | − | 7.61051i | −0.284922 | − | 0.344159i | ||||
\(490\) | −1.23375 | + | 2.61705i | −0.0557352 | + | 0.118226i | ||||
\(491\) | 3.43007 | − | 19.4529i | 0.154797 | − | 0.877897i | −0.804174 | − | 0.594393i | \(-0.797392\pi\) |
0.958971 | − | 0.283503i | \(-0.0914967\pi\) | |||||||
\(492\) | 16.5698 | + | 14.3332i | 0.747023 | + | 0.646190i | ||||
\(493\) | 13.3239 | − | 11.1801i | 0.600081 | − | 0.503527i | ||||
\(494\) | 32.8115 | − | 32.5372i | 1.47626 | − | 1.46392i | ||||
\(495\) | 0.0371115 | + | 0.00705174i | 0.00166804 | + | 0.000316952i | ||||
\(496\) | −12.5590 | + | 6.97241i | −0.563916 | + | 0.313071i | ||||
\(497\) | −1.61539 | + | 0.284836i | −0.0724600 | + | 0.0127767i | ||||
\(498\) | 13.6619 | − | 3.50271i | 0.612204 | − | 0.156960i | ||||
\(499\) | −13.5189 | − | 37.1430i | −0.605191 | − | 1.66275i | −0.740591 | − | 0.671956i | \(-0.765454\pi\) |
0.135400 | − | 0.990791i | \(-0.456768\pi\) | |||||||
\(500\) | −4.55890 | − | 3.89106i | −0.203880 | − | 0.174014i | ||||
\(501\) | −4.49488 | − | 7.90579i | −0.200816 | − | 0.353205i | ||||
\(502\) | 1.29252 | + | 2.80248i | 0.0576881 | + | 0.125081i | ||||
\(503\) | −19.5426 | + | 33.8489i | −0.871364 | + | 1.50925i | −0.0107769 | + | 0.999942i | \(0.503430\pi\) |
−0.860587 | + | 0.509304i | \(0.829903\pi\) | |||||||
\(504\) | −4.00540 | + | 0.963059i | −0.178415 | + | 0.0428981i | ||||
\(505\) | −2.52541 | − | 4.37413i | −0.112379 | − | 0.194646i | ||||
\(506\) | 0.223162 | − | 0.315878i | 0.00992077 | − | 0.0140425i | ||||
\(507\) | 1.76163 | − | 9.61784i | 0.0782367 | − | 0.427143i | ||||
\(508\) | 16.7680 | − | 5.94410i | 0.743961 | − | 0.263727i | ||||
\(509\) | −9.47986 | + | 11.2977i | −0.420187 | + | 0.500760i | −0.934065 | − | 0.357104i | \(-0.883764\pi\) |
0.513877 | + | 0.857864i | \(0.328209\pi\) | |||||||
\(510\) | 1.82551 | + | 0.179635i | 0.0808351 | + | 0.00795436i | ||||
\(511\) | −0.104769 | + | 0.287850i | −0.00463471 | + | 0.0127338i | ||||
\(512\) | −15.3842 | − | 16.5930i | −0.679891 | − | 0.733314i | ||||
\(513\) | 33.6545 | + | 20.3323i | 1.48588 | + | 0.897693i | ||||
\(514\) | 5.18448 | + | 19.6788i | 0.228677 | + | 0.867996i | ||||
\(515\) | 4.51685 | + | 1.64400i | 0.199036 | + | 0.0724432i | ||||
\(516\) | 6.49868 | − | 5.28878i | 0.286089 | − | 0.232826i | ||||
\(517\) | 0.229404 | + | 0.192493i | 0.0100892 | + | 0.00846582i | ||||
\(518\) | 4.59819 | − | 0.382844i | 0.202033 | − | 0.0168212i | ||||
\(519\) | −1.55663 | + | 1.83037i | −0.0683287 | + | 0.0803444i | ||||
\(520\) | −3.67547 | − | 0.368262i | −0.161180 | − | 0.0161494i | ||||
\(521\) | −10.1293 | + | 5.84816i | −0.443773 | + | 0.256213i | −0.705197 | − | 0.709012i | \(-0.749141\pi\) |
0.261424 | + | 0.965224i | \(0.415808\pi\) | |||||||
\(522\) | −24.1117 | − | 17.5177i | −1.05534 | − | 0.766730i | ||||
\(523\) | 6.89969 | + | 3.98354i | 0.301702 | + | 0.174188i | 0.643207 | − | 0.765692i | \(-0.277603\pi\) |
−0.341505 | + | 0.939880i | \(0.610937\pi\) | |||||||
\(524\) | −24.7325 | − | 29.9827i | −1.08044 | − | 1.30980i | ||||
\(525\) | −3.56085 | − | 2.08741i | −0.155408 | − | 0.0911023i | ||||
\(526\) | 11.9020 | − | 8.25959i | 0.518950 | − | 0.360135i | ||||
\(527\) | 8.35546 | − | 3.04114i | 0.363969 | − | 0.132474i | ||||
\(528\) | 0.138333 | + | 0.253105i | 0.00602015 | + | 0.0110150i | ||||
\(529\) | 3.49884 | + | 19.8429i | 0.152124 | + | 0.862736i | ||||
\(530\) | −1.11403 | + | 4.08888i | −0.0483905 | + | 0.177610i | ||||
\(531\) | 12.2117 | + | 4.62873i | 0.529941 | + | 0.200870i | ||||
\(532\) | −6.33207 | − | 3.72706i | −0.274530 | − | 0.161589i | ||||
\(533\) | 17.5542 | + | 20.9203i | 0.760356 | + | 0.906157i | ||||
\(534\) | −11.0135 | + | 22.9664i | −0.476599 | + | 0.993852i | ||||
\(535\) | 0.298337 | + | 0.0526049i | 0.0128982 | + | 0.00227431i | ||||
\(536\) | 2.35033 | + | 31.4171i | 0.101519 | + | 1.35701i | ||||
\(537\) | −3.34147 | − | 19.7129i | −0.144195 | − | 0.850672i | ||||
\(538\) | 0.407173 | − | 4.43928i | 0.0175545 | − | 0.191391i | ||||
\(539\) | 0.281617 | 0.0121301 | ||||||||
\(540\) | −0.458114 | − | 3.10958i | −0.0197141 | − | 0.133815i | ||||
\(541\) | 8.41220 | 0.361669 | 0.180834 | − | 0.983514i | \(-0.442120\pi\) | ||||
0.180834 | + | 0.983514i | \(0.442120\pi\) | |||||||
\(542\) | −0.430333 | + | 4.69178i | −0.0184844 | + | 0.201529i | ||||
\(543\) | 27.8388 | + | 10.3418i | 1.19468 | + | 0.443808i | ||||
\(544\) | 7.79110 | + | 11.6394i | 0.334041 | + | 0.499036i | ||||
\(545\) | 2.16426 | + | 0.381618i | 0.0927069 | + | 0.0163467i | ||||
\(546\) | −5.12004 | + | 0.392173i | −0.219117 | + | 0.0167835i | ||||
\(547\) | 11.2369 | + | 13.3916i | 0.480453 | + | 0.572582i | 0.950763 | − | 0.309920i | \(-0.100302\pi\) |
−0.470309 | + | 0.882502i | \(0.655858\pi\) | |||||||
\(548\) | −15.5597 | + | 26.4351i | −0.664679 | + | 1.12925i | ||||
\(549\) | 11.0409 | + | 19.7220i | 0.471213 | + | 0.841714i | ||||
\(550\) | −0.0759708 | + | 0.278839i | −0.00323941 | + | 0.0118897i | ||||
\(551\) | −9.23054 | − | 52.3490i | −0.393234 | − | 2.23014i | ||||
\(552\) | −30.9181 | − | 8.92465i | −1.31596 | − | 0.379858i | ||||
\(553\) | 1.38121 | − | 0.502719i | 0.0587350 | − | 0.0213778i | ||||
\(554\) | −4.85129 | + | 3.36664i | −0.206111 | + | 0.143035i | ||||
\(555\) | −0.0233114 | + | 3.52040i | −0.000989513 | + | 0.149433i | ||||
\(556\) | −13.7850 | + | 11.3711i | −0.584615 | + | 0.482243i | ||||
\(557\) | 0.688812 | + | 0.397686i | 0.0291859 | + | 0.0168505i | 0.514522 | − | 0.857477i | \(-0.327969\pi\) |
−0.485336 | + | 0.874328i | \(0.661303\pi\) | |||||||
\(558\) | −8.52002 | − | 12.6311i | −0.360681 | − | 0.534718i | ||||
\(559\) | 9.04493 | − | 5.22209i | 0.382560 | − | 0.220871i | ||||
\(560\) | 0.0922646 | + | 0.580058i | 0.00389889 | + | 0.0245119i | ||||
\(561\) | −0.0599535 | − | 0.168178i | −0.00253124 | − | 0.00710046i | ||||
\(562\) | −27.6621 | + | 2.30314i | −1.16685 | + | 0.0971520i | ||||
\(563\) | −4.79979 | − | 4.02750i | −0.202287 | − | 0.169739i | 0.536017 | − | 0.844207i | \(-0.319928\pi\) |
−0.738304 | + | 0.674468i | \(0.764373\pi\) | |||||||
\(564\) | 8.87290 | − | 23.2840i | 0.373616 | − | 0.980433i | ||||
\(565\) | 4.11224 | + | 1.49673i | 0.173003 | + | 0.0629680i | ||||
\(566\) | 5.54768 | + | 21.0575i | 0.233187 | + | 0.885111i | ||||
\(567\) | −1.38517 | − | 4.14408i | −0.0581719 | − | 0.174035i | ||||
\(568\) | 6.84184 | − | 6.67163i | 0.287077 | − | 0.279935i | ||||
\(569\) | 1.85350 | − | 5.09244i | 0.0777027 | − | 0.213486i | −0.894759 | − | 0.446550i | \(-0.852653\pi\) |
0.972462 | + | 0.233063i | \(0.0748749\pi\) | |||||||
\(570\) | 3.26499 | − | 4.55713i | 0.136755 | − | 0.190877i | ||||
\(571\) | 19.5951 | − | 23.3525i | 0.820029 | − | 0.977273i | −0.179950 | − | 0.983676i | \(-0.557594\pi\) |
0.999979 | + | 0.00640314i | \(0.00203820\pi\) | |||||||
\(572\) | 0.120130 | + | 0.338880i | 0.00502287 | + | 0.0141693i | ||||
\(573\) | −27.0093 | + | 9.62851i | −1.12833 | + | 0.402237i | ||||
\(574\) | 2.50560 | − | 3.54658i | 0.104582 | − | 0.148032i | ||||
\(575\) | −16.1215 | − | 27.9233i | −0.672315 | − | 1.16448i | ||||
\(576\) | 16.1219 | − | 17.7787i | 0.671747 | − | 0.740780i | ||||
\(577\) | −9.67484 | + | 16.7573i | −0.402769 | + | 0.697616i | −0.994059 | − | 0.108843i | \(-0.965286\pi\) |
0.591290 | + | 0.806459i | \(0.298619\pi\) | |||||||
\(578\) | 6.43783 | + | 13.9587i | 0.267779 | + | 0.580605i | ||||
\(579\) | −15.2470 | − | 0.100963i | −0.633646 | − | 0.00419587i | ||||
\(580\) | −2.75860 | + | 3.23207i | −0.114545 | + | 0.134204i | ||||
\(581\) | −0.956081 | − | 2.62681i | −0.0396649 | − | 0.108979i | ||||
\(582\) | 5.70707 | + | 5.83192i | 0.236566 | + | 0.241741i | ||||
\(583\) | 0.406232 | − | 0.0716296i | 0.0168244 | − | 0.00296659i | ||||
\(584\) | −0.440143 | − | 1.72948i | −0.0182132 | − | 0.0715662i | ||||
\(585\) | 0.0518854 | − | 3.91760i | 0.00214520 | − | 0.161973i | ||||
\(586\) | −18.6999 | + | 18.5436i | −0.772486 | + | 0.766027i | ||||
\(587\) | −33.1376 | + | 27.8057i | −1.36773 | + | 1.14767i | −0.394227 | + | 0.919013i | \(0.628988\pi\) |
−0.973508 | + | 0.228653i | \(0.926568\pi\) | |||||||
\(588\) | −7.68271 | − | 22.1369i | −0.316829 | − | 0.912912i | ||||
\(589\) | 4.71881 | − | 26.7617i | 0.194435 | − | 1.10270i | ||||
\(590\) | 0.793980 | − | 1.68420i | 0.0326876 | − | 0.0693374i | ||||
\(591\) | −7.53804 | + | 20.2915i | −0.310074 | + | 0.834682i | ||||
\(592\) | −20.8794 | + | 16.9306i | −0.858139 | + | 0.695845i | ||||
\(593\) | − | 32.7916i | − | 1.34659i | −0.739375 | − | 0.673294i | \(-0.764879\pi\) | ||
0.739375 | − | 0.673294i | \(-0.235121\pi\) | |||||||
\(594\) | −0.254759 | + | 0.169398i | −0.0104529 | + | 0.00695049i | ||||
\(595\) | − | 0.363568i | − | 0.0149048i | ||||||
\(596\) | 0.569525 | + | 3.39646i | 0.0233286 | + | 0.139124i | ||||
\(597\) | 7.66133 | − | 1.29865i | 0.313557 | − | 0.0531502i | ||||
\(598\) | −36.2832 | − | 17.1049i | −1.48373 | − | 0.699473i | ||||
\(599\) | −6.52625 | + | 37.0122i | −0.266655 | + | 1.51228i | 0.497624 | + | 0.867393i | \(0.334206\pi\) |
−0.764279 | + | 0.644885i | \(0.776905\pi\) | |||||||
\(600\) | 23.9911 | − | 1.63511i | 0.979433 | − | 0.0667533i | ||||
\(601\) | 7.65033 | − | 6.41939i | 0.312063 | − | 0.261852i | −0.473281 | − | 0.880912i | \(-0.656930\pi\) |
0.785344 | + | 0.619059i | \(0.212486\pi\) | |||||||
\(602\) | −1.16935 | − | 1.17921i | −0.0476591 | − | 0.0480609i | ||||
\(603\) | −32.9823 | + | 5.36631i | −1.34314 | + | 0.218533i | ||||
\(604\) | −1.20616 | − | 0.0101279i | −0.0490781 | − | 0.000412100i | ||||
\(605\) | 3.27588 | − | 0.577627i | 0.133184 | − | 0.0234839i | ||||
\(606\) | 39.3950 | + | 11.0141i | 1.60031 | + | 0.447416i | ||||
\(607\) | 9.92909 | + | 27.2799i | 0.403009 | + | 1.10726i | 0.960792 | + | 0.277271i | \(0.0894301\pi\) |
−0.557783 | + | 0.829987i | \(0.688348\pi\) | |||||||
\(608\) | 42.7118 | − | 2.83487i | 1.73219 | − | 0.114969i | ||||
\(609\) | −2.98736 | + | 5.09603i | −0.121054 | + | 0.206502i | ||||
\(610\) | 2.92629 | − | 1.34963i | 0.118482 | − | 0.0546447i | ||||
\(611\) | 15.5298 | − | 26.8983i | 0.628266 | − | 1.08819i | ||||
\(612\) | −11.5843 | + | 9.30073i | −0.468267 | + | 0.375960i | ||||
\(613\) | −10.6465 | − | 18.4402i | −0.430007 | − | 0.744794i | 0.566866 | − | 0.823810i | \(-0.308156\pi\) |
−0.996873 | + | 0.0790155i | \(0.974822\pi\) | |||||||
\(614\) | 23.6780 | + | 16.7281i | 0.955566 | + | 0.675091i | ||||
\(615\) | 2.52387 | + | 2.14642i | 0.101772 | + | 0.0865519i | ||||
\(616\) | 0.0472399 | − | 0.0321987i | 0.00190335 | − | 0.00129732i | ||||
\(617\) | 1.59822 | − | 1.90469i | 0.0643420 | − | 0.0766798i | −0.732913 | − | 0.680322i | \(-0.761840\pi\) |
0.797255 | + | 0.603642i | \(0.206284\pi\) | |||||||
\(618\) | −35.4575 | + | 16.0694i | −1.42631 | + | 0.646405i | ||||
\(619\) | 4.56324 | − | 12.5374i | 0.183412 | − | 0.503921i | −0.813577 | − | 0.581457i | \(-0.802483\pi\) |
0.996990 | + | 0.0775360i | \(0.0247053\pi\) | |||||||
\(620\) | −1.89031 | + | 1.07031i | −0.0759168 | + | 0.0429847i | ||||
\(621\) | 6.59357 | − | 33.4895i | 0.264591 | − | 1.34389i | ||||
\(622\) | −27.3899 | + | 7.21598i | −1.09823 | + | 0.289334i | ||||
\(623\) | 4.74387 | + | 1.72663i | 0.190059 | + | 0.0691759i | ||||
\(624\) | 23.3610 | − | 18.6879i | 0.935188 | − | 0.748113i | ||||
\(625\) | 18.1064 | + | 15.1931i | 0.724256 | + | 0.607723i | ||||
\(626\) | 2.07006 | + | 24.8627i | 0.0827364 | + | 0.993714i | ||||
\(627\) | −0.536733 | − | 0.0983095i | −0.0214351 | − | 0.00392610i | ||||
\(628\) | −7.25929 | + | 19.4354i | −0.289677 | + | 0.775557i | ||||
\(629\) | 14.4101 | − | 8.31969i | 0.574570 | − | 0.331728i | ||||
\(630\) | −0.604472 | + | 0.150719i | −0.0240827 | + | 0.00600479i | ||||
\(631\) | 33.1235 | + | 19.1238i | 1.31862 | + | 0.761308i | 0.983507 | − | 0.180868i | \(-0.0578908\pi\) |
0.335117 | + | 0.942176i | \(0.391224\pi\) | |||||||
\(632\) | −4.99959 | + | 6.95213i | −0.198873 | + | 0.276541i | ||||
\(633\) | 33.7943 | − | 19.2139i | 1.34320 | − | 0.763685i | ||||
\(634\) | −3.46441 | − | 4.99216i | −0.137589 | − | 0.198264i | ||||
\(635\) | 2.52810 | − | 0.920154i | 0.100325 | − | 0.0365152i | ||||
\(636\) | −16.7128 | − | 29.9784i | −0.662707 | − | 1.18872i | ||||
\(637\) | −5.07197 | − | 28.7646i | −0.200959 | − | 1.13969i | ||||
\(638\) | 0.399055 | + | 0.108724i | 0.0157987 | + | 0.00430443i | ||||
\(639\) | 7.67759 | + | 6.61749i | 0.303721 | + | 0.261784i | ||||
\(640\) | −2.34745 | − | 2.48965i | −0.0927913 | − | 0.0984120i | ||||
\(641\) | 9.13644 | + | 10.8884i | 0.360868 | + | 0.430065i | 0.915679 | − | 0.401911i | \(-0.131654\pi\) |
−0.554811 | + | 0.831976i | \(0.687209\pi\) | |||||||
\(642\) | −2.02486 | + | 1.38542i | −0.0799149 | + | 0.0546781i | ||||
\(643\) | 0.627325 | + | 0.110614i | 0.0247393 | + | 0.00436221i | 0.186004 | − | 0.982549i | \(-0.440446\pi\) |
−0.161265 | + | 0.986911i | \(0.551557\pi\) | |||||||
\(644\) | −1.16027 | + | 6.27180i | −0.0457210 | + | 0.247144i | ||||
\(645\) | 0.976012 | − | 0.808019i | 0.0384304 | − | 0.0318157i | ||||
\(646\) | −26.3859 | − | 2.42013i | −1.03814 | − | 0.0952189i | ||||
\(647\) | −7.26586 | −0.285650 | −0.142825 | − | 0.989748i | \(-0.545619\pi\) | ||||
−0.142825 | + | 0.989748i | \(0.545619\pi\) | |||||||
\(648\) | 20.2658 | + | 15.4045i | 0.796116 | + | 0.605144i | ||||
\(649\) | −0.181235 | −0.00711408 | ||||||||
\(650\) | 29.8491 | + | 2.73778i | 1.17078 | + | 0.107384i | ||||
\(651\) | −2.32611 | + | 1.92574i | −0.0911675 | + | 0.0754756i | ||||
\(652\) | 2.07535 | − | 11.2182i | 0.0812769 | − | 0.439340i | ||||
\(653\) | 31.3669 | + | 5.53083i | 1.22748 | + | 0.216438i | 0.749543 | − | 0.661955i | \(-0.230273\pi\) |
0.477938 | + | 0.878393i | \(0.341384\pi\) | |||||||
\(654\) | −14.6892 | + | 10.0504i | −0.574394 | + | 0.393002i | ||||
\(655\) | −3.77810 | − | 4.50257i | −0.147623 | − | 0.175930i | ||||
\(656\) | −0.424819 | + | 25.2946i | −0.0165864 | + | 0.987588i | ||||
\(657\) | 1.78712 | − | 0.623784i | 0.0697223 | − | 0.0243361i | ||||
\(658\) | −4.76497 | − | 1.29824i | −0.185758 | − | 0.0506105i | ||||
\(659\) | 2.56367 | + | 14.5393i | 0.0998663 | + | 0.566370i | 0.993147 | + | 0.116871i | \(0.0372864\pi\) |
−0.893281 | + | 0.449499i | \(0.851603\pi\) | |||||||
\(660\) | 0.0212400 | + | 0.0380988i | 0.000826764 | + | 0.00148299i | ||||
\(661\) | −18.8308 | + | 6.85385i | −0.732433 | + | 0.266584i | −0.681194 | − | 0.732103i | \(-0.738539\pi\) |
−0.0512388 | + | 0.998686i | \(0.516317\pi\) | |||||||
\(662\) | −16.2302 | − | 23.3874i | −0.630803 | − | 0.908978i | ||||
\(663\) | −16.0980 | + | 9.15260i | −0.625195 | + | 0.355458i | ||||
\(664\) | 13.2217 | + | 9.50832i | 0.513101 | + | 0.368994i | ||||
\(665\) | −0.962265 | − | 0.555564i | −0.0373150 | − | 0.0215438i | ||||
\(666\) | −19.8062 | − | 20.5094i | −0.767474 | − | 0.794724i | ||||
\(667\) | −39.9619 | + | 23.0720i | −1.54733 | + | 0.893352i | ||||
\(668\) | 3.67433 | − | 9.83734i | 0.142164 | − | 0.380618i | ||||
\(669\) | −31.2063 | − | 5.71582i | −1.20650 | − | 0.220987i | ||||
\(670\) | 0.395308 | + | 4.74789i | 0.0152721 | + | 0.183427i | ||||
\(671\) | −0.240281 | − | 0.201620i | −0.00927594 | − | 0.00778344i | ||||
\(672\) | −3.81977 | − | 2.83496i | −0.147351 | − | 0.109361i | ||||
\(673\) | −32.6670 | − | 11.8898i | −1.25922 | − | 0.458319i | −0.375713 | − | 0.926736i | \(-0.622602\pi\) |
−0.883508 | + | 0.468417i | \(0.844825\pi\) | |||||||
\(674\) | 18.0636 | − | 4.75894i | 0.695784 | − | 0.183307i | ||||
\(675\) | 3.92916 | + | 25.2010i | 0.151233 | + | 0.969986i | ||||
\(676\) | 9.82490 | − | 5.56294i | 0.377881 | − | 0.213959i | ||||
\(677\) | 11.4934 | − | 31.5778i | 0.441726 | − | 1.21363i | −0.496630 | − | 0.867962i | \(-0.665429\pi\) |
0.938356 | − | 0.345670i | \(-0.112348\pi\) | |||||||
\(678\) | −32.2813 | + | 14.6299i | −1.23976 | + | 0.561858i | ||||
\(679\) | 1.03957 | − | 1.23891i | 0.0398951 | − | 0.0475451i | ||||
\(680\) | 1.19295 | + | 1.75021i | 0.0457474 | + | 0.0671176i | ||||
\(681\) | 25.8650 | + | 21.9968i | 0.991149 | + | 0.842920i | ||||
\(682\) | 0.172691 | + | 0.122003i | 0.00661267 | + | 0.00467173i | ||||
\(683\) | 12.3153 | + | 21.3308i | 0.471233 | + | 0.816200i | 0.999459 | − | 0.0329044i | \(-0.0104757\pi\) |
−0.528225 | + | 0.849104i | \(0.677142\pi\) | |||||||
\(684\) | 6.91468 | + | 44.8727i | 0.264389 | + | 1.71575i | ||||
\(685\) | −2.31937 | + | 4.01726i | −0.0886185 | + | 0.153492i | ||||
\(686\) | −8.58172 | + | 3.95794i | −0.327652 | + | 0.151115i | ||||
\(687\) | −4.96490 | + | 8.46945i | −0.189423 | + | 0.323129i | ||||
\(688\) | 9.49845 | + | 1.83981i | 0.362125 | + | 0.0701420i | ||||
\(689\) | −14.6326 | − | 40.2027i | −0.557458 | − | 1.53160i | ||||
\(690\) | −4.68675 | − | 1.31032i | −0.178421 | − | 0.0498831i | ||||
\(691\) | 14.4784 | − | 2.55293i | 0.550784 | − | 0.0971181i | 0.108672 | − | 0.994078i | \(-0.465340\pi\) |
0.442113 | + | 0.896960i | \(0.354229\pi\) | |||||||
\(692\) | −2.77440 | − | 0.0232961i | −0.105467 | − | 0.000885586i | ||||
\(693\) | 0.0383585 | + | 0.0469632i | 0.00145712 | + | 0.00178398i | ||||
\(694\) | −17.7788 | − | 17.9287i | −0.674873 | − | 0.680564i | ||||
\(695\) | −2.07012 | + | 1.73704i | −0.0785243 | + | 0.0658897i | ||||
\(696\) | −2.34006 | − | 34.3344i | −0.0886998 | − | 1.30144i | ||||
\(697\) | 2.71925 | − | 15.4216i | 0.102999 | − | 0.584135i | ||||
\(698\) | −16.7222 | − | 7.88334i | −0.632945 | − | 0.298389i | ||||
\(699\) | 12.8270 | − | 2.17427i | 0.485162 | − | 0.0822385i | ||||
\(700\) | −0.788188 | − | 4.70050i | −0.0297907 | − | 0.177662i | ||||
\(701\) | 32.3443i | 1.22163i | 0.791775 | + | 0.610813i | \(0.209157\pi\) | ||||
−0.791775 | + | 0.610813i | \(0.790843\pi\) | |||||||
\(702\) | 21.8907 | + | 22.9704i | 0.826211 | + | 0.866963i | ||||
\(703\) | − | 50.8528i | − | 1.91795i | ||||||
\(704\) | −0.121761 | + | 0.310008i | −0.00458905 | + | 0.0116839i | ||||
\(705\) | 1.31219 | − | 3.53226i | 0.0494199 | − | 0.133032i | ||||
\(706\) | −12.9578 | + | 27.4862i | −0.487672 | + | 1.03446i | ||||
\(707\) | 1.40787 | − | 7.98443i | 0.0529484 | − | 0.300285i | ||||
\(708\) | 4.94420 | + | 14.2462i | 0.185815 | + | 0.535406i | ||||
\(709\) | −30.0746 | + | 25.2356i | −1.12947 | + | 0.947741i | −0.999044 | − | 0.0437162i | \(-0.986080\pi\) |
−0.130430 | + | 0.991458i | \(0.541636\pi\) | |||||||
\(710\) | 1.02615 | − | 1.01757i | 0.0385106 | − | 0.0381886i | ||||
\(711\) | −7.80495 | − | 4.64508i | −0.292708 | − | 0.174204i | ||||
\(712\) | −28.5024 | + | 7.25370i | −1.06817 | + | 0.271844i | ||||
\(713\) | −23.2312 | + | 4.09629i | −0.870016 | + | 0.153407i | ||||
\(714\) | 2.05941 | + | 2.10447i | 0.0770716 | + | 0.0787578i | ||||
\(715\) | 0.0185962 | + | 0.0510927i | 0.000695460 | + | 0.00191076i | ||||
\(716\) | 14.9881 | − | 17.5605i | 0.560132 | − | 0.656268i | ||||
\(717\) | 11.2090 | + | 0.0742241i | 0.418609 | + | 0.00277195i | ||||
\(718\) | −11.2143 | − | 24.3151i | −0.418514 | − | 0.907432i | ||||
\(719\) | −0.482259 | + | 0.835298i | −0.0179852 | + | 0.0311514i | −0.874878 | − | 0.484343i | \(-0.839059\pi\) |
0.856893 | + | 0.515495i | \(0.172392\pi\) | |||||||
\(720\) | 2.41537 | − | 2.70896i | 0.0900157 | − | 0.100957i | ||||
\(721\) | 3.85790 | + | 6.68207i | 0.143676 | + | 0.248853i | ||||
\(722\) | −31.2211 | + | 44.1922i | −1.16193 | + | 1.64467i | ||||
\(723\) | 1.13212 | − | 0.403588i | 0.0421039 | − | 0.0150096i | ||||
\(724\) | 11.4575 | + | 32.3212i | 0.425816 | + | 1.20121i | ||||
\(725\) | 22.1640 | − | 26.4140i | 0.823151 | − | 0.980993i | ||||
\(726\) | −15.6901 | + | 21.8996i | −0.582314 | + | 0.812770i | ||||
\(727\) | 7.16819 | − | 19.6944i | 0.265854 | − | 0.730427i | −0.732892 | − | 0.680345i | \(-0.761830\pi\) |
0.998745 | − | 0.0500812i | \(-0.0159480\pi\) | |||||||
\(728\) | −4.13960 | − | 4.24521i | −0.153424 | − | 0.157338i | ||||
\(729\) | −14.4181 | + | 22.8280i | −0.534004 | + | 0.845482i | ||||
\(730\) | −0.0687541 | − | 0.260972i | −0.00254470 | − | 0.00965899i | ||||
\(731\) | −5.62763 | − | 2.04829i | −0.208146 | − | 0.0757588i | ||||
\(732\) | −9.29359 | + | 24.3880i | −0.343501 | + | 0.901405i | ||||
\(733\) | 1.37507 | + | 1.15382i | 0.0507892 | + | 0.0426172i | 0.667829 | − | 0.744315i | \(-0.267224\pi\) |
−0.617040 | + | 0.786932i | \(0.711668\pi\) | |||||||
\(734\) | 33.5702 | − | 2.79505i | 1.23910 | − | 0.103167i | ||||
\(735\) | −1.18988 | − | 3.33778i | −0.0438895 | − | 0.123116i | ||||
\(736\) | −14.9936 | − | 33.9994i | −0.552671 | − | 1.25324i | ||||
\(737\) | 0.401606 | − | 0.231867i | 0.0147934 | − | 0.00854095i | ||||
\(738\) | −26.7674 | + | 1.87207i | −0.985321 | + | 0.0689118i | ||||
\(739\) | −17.1448 | − | 9.89858i | −0.630683 | − | 0.364125i | 0.150333 | − | 0.988635i | \(-0.451965\pi\) |
−0.781017 | + | 0.624510i | \(0.785299\pi\) | |||||||
\(740\) | −3.13588 | + | 2.58675i | −0.115277 | + | 0.0950910i | ||||
\(741\) | −0.374747 | + | 56.5929i | −0.0137667 | + | 2.07899i | ||||
\(742\) | −5.58882 | + | 3.87847i | −0.205172 | + | 0.142383i | ||||
\(743\) | 36.3877 | − | 13.2440i | 1.33494 | − | 0.485877i | 0.426721 | − | 0.904383i | \(-0.359669\pi\) |
0.908214 | + | 0.418507i | \(0.137446\pi\) | |||||||
\(744\) | 4.87911 | − | 16.9029i | 0.178877 | − | 0.619692i | ||||
\(745\) | 0.0904359 | + | 0.512888i | 0.00331332 | + | 0.0187907i | ||||
\(746\) | 8.05778 | − | 29.5748i | 0.295016 | − | 1.08281i | ||||
\(747\) | −8.83410 | + | 14.8436i | −0.323223 | + | 0.543099i | ||||
\(748\) | 0.104578 | − | 0.177673i | 0.00382376 | − | 0.00649635i | ||||
\(749\) | 0.312575 | + | 0.372512i | 0.0114212 | + | 0.0136113i | ||||
\(750\) | 7.31926 | − | 0.560624i | 0.267262 | − | 0.0204711i | ||||
\(751\) | 22.7048 | + | 4.00346i | 0.828508 | + | 0.146088i | 0.571792 | − | 0.820398i | \(-0.306248\pi\) |
0.256716 | + | 0.966487i | \(0.417359\pi\) | |||||||
\(752\) | 27.1983 | − | 9.38521i | 0.991820 | − | 0.342243i | ||||
\(753\) | −3.54320 | − | 1.31625i | −0.129121 | − | 0.0479670i | ||||
\(754\) | 3.91811 | − | 42.7179i | 0.142689 | − | 1.55569i | ||||
\(755\) | −0.182408 | −0.00663851 | ||||||||
\(756\) | 2.64517 | − | 4.29642i | 0.0962038 | − | 0.156259i | ||||
\(757\) | 33.3070 | 1.21056 | 0.605281 | − | 0.796012i | \(-0.293061\pi\) | ||||
0.605281 | + | 0.796012i | \(0.293061\pi\) | |||||||
\(758\) | 4.35024 | − | 47.4292i | 0.158008 | − | 1.72271i | ||||
\(759\) | 0.0791625 | + | 0.467016i | 0.00287342 | + | 0.0169516i | ||||
\(760\) | 6.45525 | − | 0.482921i | 0.234156 | − | 0.0175174i | ||||
\(761\) | 15.6353 | + | 2.75693i | 0.566780 | + | 0.0999386i | 0.449693 | − | 0.893183i | \(-0.351533\pi\) |
0.117087 | + | 0.993122i | \(0.462644\pi\) | |||||||
\(762\) | −9.42143 | + | 19.6465i | −0.341303 | + | 0.711717i | ||||
\(763\) | 2.26755 | + | 2.70236i | 0.0820909 | + | 0.0978322i | ||||
\(764\) | −28.5342 | − | 16.7952i | −1.03233 | − | 0.607630i | ||||
\(765\) | −1.73996 | + | 1.42116i | −0.0629083 | + | 0.0513822i | ||||
\(766\) | −0.558912 | + | 2.05140i | −0.0201943 | + | 0.0741201i | ||||
\(767\) | 3.26407 | + | 18.5114i | 0.117859 | + | 0.668409i | ||||
\(768\) | 27.6904 | + | 1.11398i | 0.999192 | + | 0.0401974i | ||||
\(769\) | 20.7088 | − | 7.53738i | 0.746777 | − | 0.271805i | 0.0595284 | − | 0.998227i | \(-0.481040\pi\) |
0.687249 | + | 0.726422i | \(0.258818\pi\) | |||||||
\(770\) | 0.00710271 | − | 0.00492906i | 0.000255964 | − | 0.000177631i | ||||
\(771\) | −21.5018 | − | 12.6046i | −0.774368 | − | 0.453945i | ||||
\(772\) | −11.2034 | − | 13.5816i | −0.403218 | − | 0.488814i | ||||
\(773\) | −18.9410 | − | 10.9356i | −0.681261 | − | 0.393326i | 0.119069 | − | 0.992886i | \(-0.462009\pi\) |
−0.800330 | + | 0.599560i | \(0.795342\pi\) | |||||||
\(774\) | −1.07254 | + | 10.2057i | −0.0385517 | + | 0.366835i | ||||
\(775\) | 15.2657 | − | 8.81366i | 0.548360 | − | 0.316596i | ||||
\(776\) | −0.939341 | + | 9.37516i | −0.0337204 | + | 0.336549i | ||||
\(777\) | −3.66104 | + | 4.30484i | −0.131339 | + | 0.154435i | ||||
\(778\) | 5.44238 | − | 0.453131i | 0.195119 | − | 0.0162455i | ||||
\(779\) | −36.6615 | − | 30.7626i | −1.31353 | − | 1.10219i | ||||
\(780\) | 3.50890 | − | 2.85563i | 0.125639 | − | 0.102248i | ||||
\(781\) | −0.132179 | − | 0.0481093i | −0.00472975 | − | 0.00172149i | ||||
\(782\) | 5.85981 | + | 22.2422i | 0.209546 | + | 0.795380i | ||||
\(783\) | 36.0659 | − | 5.62314i | 1.28889 | − | 0.200955i | ||||
\(784\) | 13.9202 | − | 23.2017i | 0.497149 | − | 0.828633i | ||||
\(785\) | −1.07307 | + | 2.94823i | −0.0382994 | + | 0.105227i | ||||
\(786\) | 47.3736 | + | 4.66167i | 1.68976 | + | 0.166276i | ||||
\(787\) | 2.17335 | − | 2.59010i | 0.0774716 | − | 0.0923271i | −0.725916 | − | 0.687783i | \(-0.758584\pi\) |
0.803388 | + | 0.595456i | \(0.203029\pi\) | |||||||
\(788\) | −23.5587 | + | 8.35133i | −0.839244 | + | 0.297504i | ||||
\(789\) | −3.19669 | + | 17.4527i | −0.113805 | + | 0.621333i | ||||
\(790\) | −0.747208 | + | 1.05764i | −0.0265845 | + | 0.0376293i | ||||
\(791\) | 3.51231 | + | 6.08351i | 0.124884 | + | 0.216305i | ||||
\(792\) | −0.338753 | − | 0.100217i | −0.0120371 | − | 0.00356107i | ||||
\(793\) | −16.2661 | + | 28.1737i | −0.577625 | + | 1.00048i | ||||
\(794\) | 11.6139 | + | 25.1816i | 0.412162 | + | 0.893661i | ||||
\(795\) | −2.56537 | − | 4.51209i | −0.0909843 | − | 0.160027i | ||||
\(796\) | 6.82484 | + | 5.82507i | 0.241900 | + | 0.206464i | ||||
\(797\) | 16.3658 | + | 44.9646i | 0.579705 | + | 1.59273i | 0.788679 | + | 0.614805i | \(0.210765\pi\) |
−0.208974 | + | 0.977921i | \(0.567012\pi\) | |||||||
\(798\) | 8.71691 | − | 2.23489i | 0.308575 | − | 0.0791142i | ||||
\(799\) | −17.5393 | + | 3.09264i | −0.620494 | + | 0.109410i | ||||
\(800\) | 19.2177 | + | 20.0419i | 0.679447 | + | 0.708588i | ||||
\(801\) | −10.2802 | − | 29.4524i | −0.363232 | − | 1.04065i | ||||
\(802\) | 21.7835 | − | 21.6013i | 0.769201 | − | 0.762769i | ||||
\(803\) | −0.0201228 | + | 0.0168850i | −0.000710117 | + | 0.000595859i | ||||
\(804\) | −29.1824 | − | 25.2434i | −1.02918 | − | 0.890265i | ||||
\(805\) | −0.167491 | + | 0.949891i | −0.00590330 | + | 0.0334793i | ||||
\(806\) | 9.35128 | − | 19.8360i | 0.329385 | − | 0.698695i | ||||
\(807\) | 3.48172 | + | 4.20560i | 0.122562 | + | 0.148044i | ||||
\(808\) | 19.4212 | + | 43.0564i | 0.683234 | + | 1.51472i | ||||
\(809\) | − | 17.3637i | − | 0.610473i | −0.952277 | − | 0.305237i | \(-0.901264\pi\) | ||
0.952277 | − | 0.305237i | \(-0.0987356\pi\) | |||||||
\(810\) | 3.08414 | + | 2.30372i | 0.108366 | + | 0.0809445i | ||||
\(811\) | − | 13.7618i | − | 0.483242i | −0.970371 | − | 0.241621i | \(-0.922321\pi\) | ||
0.970371 | − | 0.241621i | \(-0.0776791\pi\) | |||||||
\(812\) | −6.72702 | + | 1.12800i | −0.236072 | + | 0.0395850i | ||||
\(813\) | −3.67976 | − | 4.44481i | −0.129055 | − | 0.155886i | ||||
\(814\) | 0.357899 | + | 0.168724i | 0.0125444 | + | 0.00591377i | ||||
\(815\) | 0.299589 | − | 1.69905i | 0.0104941 | − | 0.0595152i | ||||
\(816\) | −16.8192 | − | 3.37350i | −0.588789 | − | 0.118096i | ||||
\(817\) | −14.0208 | + | 11.7648i | −0.490524 | + | 0.411599i | ||||
\(818\) | 10.9513 | + | 11.0436i | 0.382903 | + | 0.386131i | ||||
\(819\) | 4.10601 | − | 4.76378i | 0.143476 | − | 0.166460i | ||||
\(820\) | −0.0321227 | + | 3.82557i | −0.00112177 | + | 0.133595i | ||||
\(821\) | −26.2703 | + | 4.63216i | −0.916840 | + | 0.161664i | −0.612108 | − | 0.790774i | \(-0.709678\pi\) |
−0.304732 | + | 0.952438i | \(0.598567\pi\) | |||||||
\(822\) | −9.33021 | − | 36.3914i | −0.325429 | − | 1.26929i | ||||
\(823\) | 15.0879 | + | 41.4538i | 0.525932 | + | 1.44499i | 0.863820 | + | 0.503801i | \(0.168065\pi\) |
−0.337888 | + | 0.941186i | \(0.609712\pi\) | |||||||
\(824\) | −40.4972 | − | 19.5088i | −1.41079 | − | 0.679621i | ||||
\(825\) | −0.174944 | − | 0.307699i | −0.00609076 | − | 0.0107127i | ||||
\(826\) | 2.71409 | − | 1.25176i | 0.0944354 | − | 0.0435542i | ||||
\(827\) | 5.67028 | − | 9.82121i | 0.197175 | − | 0.341517i | −0.750436 | − | 0.660943i | \(-0.770157\pi\) |
0.947611 | + | 0.319426i | \(0.103490\pi\) | |||||||
\(828\) | 34.5509 | − | 18.9632i | 1.20073 | − | 0.659017i | ||||
\(829\) | 14.5329 | + | 25.1717i | 0.504747 | + | 0.874248i | 0.999985 | + | 0.00549015i | \(0.00174758\pi\) |
−0.495238 | + | 0.868757i | \(0.664919\pi\) | |||||||
\(830\) | 2.01145 | + | 1.42105i | 0.0698184 | + | 0.0493255i | ||||
\(831\) | 1.30298 | − | 7.11380i | 0.0452000 | − | 0.246775i | ||||
\(832\) | 33.8574 | + | 6.85347i | 1.17380 | + | 0.237601i | ||||
\(833\) | −10.7656 | + | 12.8300i | −0.373007 | + | 0.444532i | ||||
\(834\) | 2.14327 | − | 21.7807i | 0.0742155 | − | 0.754205i | ||||
\(835\) | 0.543139 | − | 1.49226i | 0.0187961 | − | 0.0516419i | ||||
\(836\) | −0.310446 | − | 0.548289i | −0.0107370 | − | 0.0189630i | ||||
\(837\) | 18.3087 | + | 3.60471i | 0.632843 | + | 0.124597i | ||||
\(838\) | 33.1185 | − | 8.72523i | 1.14406 | − | 0.301408i | ||||
\(839\) | −11.0585 | − | 4.02496i | −0.381781 | − | 0.138957i | 0.143998 | − | 0.989578i | \(-0.454004\pi\) |
−0.525779 | + | 0.850621i | \(0.676226\pi\) | |||||||
\(840\) | −0.581223 | − | 0.423851i | −0.0200541 | − | 0.0146243i | ||||
\(841\) | −15.5866 | − | 13.0787i | −0.537469 | − | 0.450990i | ||||
\(842\) | −4.29615 | − | 51.5994i | −0.148055 | − | 1.77823i | ||||
\(843\) | 22.0243 | − | 25.8973i | 0.758558 | − | 0.891952i | ||||
\(844\) | 42.0510 | + | 15.7064i | 1.44745 | + | 0.540637i | ||||
\(845\) | 1.47865 | − | 0.853700i | 0.0508672 | − | 0.0293682i | ||||
\(846\) | 12.4128 | + | 27.8788i | 0.426762 | + | 0.958494i | ||||
\(847\) | 4.62422 | + | 2.66980i | 0.158890 | + | 0.0917353i | ||||
\(848\) | 14.1784 | − | 37.0090i | 0.486888 | − | 1.27089i | ||||
\(849\) | −23.0081 | − | 13.4877i | −0.789636 | − | 0.462895i | ||||
\(850\) | −9.79920 | − | 14.1205i | −0.336110 | − | 0.484330i | ||||
\(851\) | −41.4820 | + | 15.0982i | −1.42198 | + | 0.517560i | ||||
\(852\) | −0.175767 | + | 11.7026i | −0.00602167 | + | 0.400925i | ||||
\(853\) | −7.59288 | − | 43.0614i | −0.259975 | − | 1.47439i | −0.782971 | − | 0.622058i | \(-0.786297\pi\) |
0.522996 | − | 0.852335i | \(-0.324814\pi\) | |||||||
\(854\) | 4.99090 | + | 1.35979i | 0.170785 | + | 0.0465311i | ||||
\(855\) | 1.10261 | + | 6.77684i | 0.0377085 | + | 0.231763i | ||||
\(856\) | −2.72702 | − | 0.767643i | −0.0932077 | − | 0.0262375i | ||||
\(857\) | −2.62091 | − | 3.12348i | −0.0895287 | − | 0.106696i | 0.719420 | − | 0.694575i | \(-0.244408\pi\) |
−0.808949 | + | 0.587879i | \(0.799963\pi\) | |||||||
\(858\) | −0.397054 | − | 0.190406i | −0.0135552 | − | 0.00650036i | ||||
\(859\) | −38.3251 | − | 6.75775i | −1.30764 | − | 0.230571i | −0.523961 | − | 0.851743i | \(-0.675546\pi\) |
−0.783675 | + | 0.621171i | \(0.786657\pi\) | |||||||
\(860\) | 1.43869 | + | 0.266154i | 0.0490588 | + | 0.00907577i | ||||
\(861\) | 0.888814 | + | 5.24351i | 0.0302907 | + | 0.178698i | ||||
\(862\) | 54.3053 | + | 4.98092i | 1.84965 | + | 0.169651i | ||||
\(863\) | 48.5663 | 1.65322 | 0.826608 | − | 0.562778i | \(-0.190268\pi\) | ||||
0.826608 | + | 0.562778i | \(0.190268\pi\) | |||||||
\(864\) | 1.36367 | + | 29.3622i | 0.0463931 | + | 0.998923i | ||||
\(865\) | −0.419573 | −0.0142659 | ||||||||
\(866\) | 9.24200 | + | 0.847683i | 0.314056 | + | 0.0288054i | ||||
\(867\) | −17.6481 | − | 6.55603i | −0.599360 | − | 0.222655i | ||||
\(868\) | −3.42880 | − | 0.634320i | −0.116381 | − | 0.0215302i | ||||
\(869\) | 0.124130 | + | 0.0218875i | 0.00421083 | + | 0.000742483i | ||||
\(870\) | −0.397459 | − | 5.18905i | −0.0134751 | − | 0.175925i | ||||
\(871\) | −30.9161 | − | 36.8444i | −1.04755 | − | 1.24842i | ||||
\(872\) | −19.7830 | − | 5.56881i | −0.669937 | − | 0.188584i | ||||
\(873\) | −9.99277 | − | 0.132346i | −0.338204 | − | 0.00447924i | ||||
\(874\) | 67.8233 | + | 18.4787i | 2.29416 | + | 0.625052i | ||||
\(875\) | −0.252648 | − | 1.43284i | −0.00854107 | − | 0.0484388i | ||||
\(876\) | 1.87623 | + | 1.12115i | 0.0633921 | + | 0.0378800i | ||||
\(877\) | 15.9919 | − | 5.82058i | 0.540008 | − | 0.196547i | −0.0575935 | − | 0.998340i | \(-0.518343\pi\) |
0.597602 | + | 0.801793i | \(0.296120\pi\) | |||||||
\(878\) | 1.47111 | + | 2.11985i | 0.0496475 | + | 0.0715414i | ||||
\(879\) | 0.213575 | − | 32.2534i | 0.00720372 | − | 1.08788i | ||||
\(880\) | −0.0180190 | + | 0.0470339i | −0.000607421 | + | 0.00158551i | ||||
\(881\) | −2.59611 | − | 1.49886i | −0.0874651 | − | 0.0504980i | 0.455630 | − | 0.890169i | \(-0.349414\pi\) |
−0.543095 | + | 0.839672i | \(0.682748\pi\) | |||||||
\(882\) | 25.7942 | + | 12.5803i | 0.868535 | + | 0.423600i | ||||
\(883\) | −17.0858 | + | 9.86450i | −0.574984 | + | 0.331967i | −0.759137 | − | 0.650931i | \(-0.774379\pi\) |
0.184154 | + | 0.982897i | \(0.441046\pi\) | |||||||
\(884\) | −20.0311 | − | 7.48178i | −0.673718 | − | 0.251640i | ||||
\(885\) | 0.765749 | + | 2.14803i | 0.0257404 | + | 0.0722052i | ||||
\(886\) | 0.204731 | + | 2.45894i | 0.00687807 | + | 0.0826098i | ||||
\(887\) | 35.6487 | + | 29.9128i | 1.19697 | + | 1.00437i | 0.999711 | + | 0.0240206i | \(0.00764673\pi\) |
0.197254 | + | 0.980352i | \(0.436798\pi\) | |||||||
\(888\) | 3.49908 | − | 32.7361i | 0.117421 | − | 1.09855i | ||||
\(889\) | 4.05813 | + | 1.47704i | 0.136105 | + | 0.0495383i | ||||
\(890\) | −4.30090 | + | 1.13309i | −0.144166 | + | 0.0379813i | ||||
\(891\) | 0.0748150 | − | 0.367151i | 0.00250640 | − | 0.0123000i | ||||
\(892\) | −18.0497 | − | 31.8781i | −0.604347 | − | 1.06736i | ||||
\(893\) | −18.6161 | + | 51.1474i | −0.622965 | + | 1.71158i | ||||
\(894\) | −3.42870 | − | 2.45651i | −0.114673 | − | 0.0821581i | ||||
\(895\) | 2.24419 | − | 2.67453i | 0.0750152 | − | 0.0893996i | ||||
\(896\) | −0.317733 | − | 5.48354i | −0.0106147 | − | 0.183192i | ||||
\(897\) | 46.2756 | − | 16.4967i | 1.54510 | − | 0.550810i | ||||
\(898\) | −10.6719 | − | 7.53952i | −0.356126 | − | 0.251597i | ||||
\(899\) | −12.6135 | − | 21.8472i | −0.420683 | − | 0.728645i | ||||
\(900\) | −19.4146 | + | 22.1460i | −0.647153 | + | 0.738199i | ||||
\(901\) | −12.2661 | + | 21.2454i | −0.408642 | + | 0.707788i | ||||
\(902\) | 0.338144 | − | 0.155954i | 0.0112590 | − | 0.00519271i | ||||
\(903\) | 2.03388 | + | 0.0134680i | 0.0676834 | + | 0.000448186i | ||||
\(904\) | −36.8695 | − | 17.7612i | −1.22626 | − | 0.590730i | ||||
\(905\) | 1.77364 | + | 4.87305i | 0.0589579 | + | 0.161986i | ||||
\(906\) | 1.05585 | − | 1.03324i | 0.0350781 | − | 0.0343271i | ||||
\(907\) | −34.2556 | + | 6.04019i | −1.13744 | + | 0.200561i | −0.710485 | − | 0.703712i | \(-0.751524\pi\) |
−0.426954 | + | 0.904273i | \(0.640413\pi\) | |||||||
\(908\) | −0.329198 | + | 39.2051i | −0.0109248 | + | 1.30107i | ||||
\(909\) | −43.7150 | + | 24.4728i | −1.44993 | + | 0.811710i | ||||
\(910\) | −0.631379 | − | 0.636702i | −0.0209300 | − | 0.0211065i | ||||
\(911\) | −22.9255 | + | 19.2368i | −0.759557 | + | 0.637344i | −0.938012 | − | 0.346604i | \(-0.887335\pi\) |
0.178454 | + | 0.983948i | \(0.442890\pi\) | |||||||
\(912\) | −34.6299 | + | 39.3607i | −1.14671 | + | 1.30336i | ||||
\(913\) | 0.0416261 | − | 0.236073i | 0.00137762 | − | 0.00781289i | ||||
\(914\) | −35.2833 | − | 16.6336i | −1.16707 | − | 0.550189i | ||||
\(915\) | −1.37440 | + | 3.69973i | −0.0454364 | + | 0.122309i | ||||
\(916\) | −11.1801 | + | 1.87470i | −0.369401 | + | 0.0619418i | ||||
\(917\) | − | 9.43490i | − | 0.311568i | ||||||
\(918\) | 2.02144 | − | 18.0821i | 0.0667174 | − | 0.596799i | ||||
\(919\) | 52.7647i | 1.74055i | 0.492569 | + | 0.870273i | \(0.336058\pi\) | ||||
−0.492569 | + | 0.870273i | \(0.663942\pi\) | |||||||
\(920\) | −2.31049 | − | 5.12233i | −0.0761748 | − | 0.168878i | ||||
\(921\) | −35.0072 | + | 5.93397i | −1.15353 | + | 0.195531i | ||||
\(922\) | −12.5042 | + | 26.5240i | −0.411803 | + | 0.873521i | ||||
\(923\) | −2.53335 | + | 14.3673i | −0.0833862 | + | 0.472907i | ||||
\(924\) | −0.0131927 | + | 0.0687641i | −0.000434008 | + | 0.00226217i | ||||
\(925\) | 25.2693 | − | 21.2034i | 0.830849 | − | 0.697165i | ||||
\(926\) | 9.62614 | − | 9.54565i | 0.316334 | − | 0.313689i | ||||
\(927\) | 16.8987 | − | 44.5828i | 0.555027 | − | 1.46429i | ||||
\(928\) | 28.6825 | − | 27.5029i | 0.941550 | − | 0.902828i | ||||
\(929\) | −54.7677 | + | 9.65703i | −1.79687 | + | 0.316837i | −0.969550 | − | 0.244892i | \(-0.921247\pi\) |
−0.827321 | + | 0.561729i | \(0.810136\pi\) | |||||||
\(930\) | 0.716354 | − | 2.56225i | 0.0234902 | − | 0.0840194i | ||||
\(931\) | 17.5066 | + | 48.0989i | 0.573755 | + | 1.57638i | ||||
\(932\) | 11.4265 | + | 9.75265i | 0.374288 | + | 0.319459i | ||||
\(933\) | 17.5437 | − | 29.9271i | 0.574354 | − | 0.979769i | ||||
\(934\) | 10.3619 | + | 22.4669i | 0.339051 | + | 0.735140i | ||||
\(935\) | 0.0155887 | − | 0.0270003i | 0.000509803 | − | 0.000883005i | ||||
\(936\) | −4.13528 | + | 36.4054i | −0.135166 | + | 1.18995i | ||||
\(937\) | 9.12048 | + | 15.7971i | 0.297953 | + | 0.516070i | 0.975667 | − | 0.219255i | \(-0.0703628\pi\) |
−0.677715 | + | 0.735325i | \(0.737029\pi\) | |||||||
\(938\) | −4.41282 | + | 6.24618i | −0.144084 | + | 0.203945i | ||||
\(939\) | −23.2766 | − | 19.7955i | −0.759602 | − | 0.646001i | ||||
\(940\) | 4.10099 | − | 1.45376i | 0.133760 | − | 0.0474165i | ||||
\(941\) | 11.2021 | − | 13.3502i | 0.365179 | − | 0.435204i | −0.551899 | − | 0.833911i | \(-0.686097\pi\) |
0.917078 | + | 0.398707i | \(0.130541\pi\) | |||||||
\(942\) | −10.4888 | − | 23.1438i | −0.341743 | − | 0.754065i | ||||
\(943\) | −14.2091 | + | 39.0392i | −0.462712 | + | 1.27129i | ||||
\(944\) | −8.95832 | + | 14.9315i | −0.291568 | + | 0.485978i | ||||
\(945\) | 0.394545 | − | 0.653060i | 0.0128346 | − | 0.0212441i | ||||
\(946\) | −0.0362807 | − | 0.137712i | −0.00117959 | − | 0.00447739i | ||||
\(947\) | 40.4292 | + | 14.7150i | 1.31377 | + | 0.478174i | 0.901458 | − | 0.432868i | \(-0.142498\pi\) |
0.412315 | + | 0.911042i | \(0.364720\pi\) | |||||||
\(948\) | −1.66586 | − | 10.3546i | −0.0541045 | − | 0.336300i | ||||
\(949\) | 2.08706 | + | 1.75125i | 0.0677488 | + | 0.0568480i | ||||
\(950\) | −52.3471 | + | 4.35841i | −1.69837 | + | 0.141405i | ||||
\(951\) | 7.32038 | + | 1.34082i | 0.237379 | + | 0.0434790i | ||||
\(952\) | −0.338964 | + | 3.38306i | −0.0109859 | + | 0.109645i | ||||
\(953\) | −17.5809 | + | 10.1503i | −0.569502 | + | 0.328802i | −0.756950 | − | 0.653472i | \(-0.773312\pi\) |
0.187449 | + | 0.982274i | \(0.439978\pi\) | |||||||
\(954\) | 40.4078 | + | 11.5862i | 1.30825 | + | 0.375118i | ||||
\(955\) | −4.33625 | − | 2.50353i | −0.140318 | − | 0.0810124i | ||||
\(956\) | 8.23629 | + | 9.98471i | 0.266381 | + | 0.322929i | ||||
\(957\) | −0.440357 | + | 0.250367i | −0.0142347 | + | 0.00809322i | ||||
\(958\) | −30.4365 | + | 21.1220i | −0.983360 | + | 0.682421i | ||||
\(959\) | −6.99708 | + | 2.54673i | −0.225947 | + | 0.0822382i | ||||
\(960\) | 4.18874 | + | 0.133296i | 0.135191 | + | 0.00430209i | ||||
\(961\) | 3.14365 | + | 17.8285i | 0.101408 | + | 0.575113i | ||||
\(962\) | 10.7878 | − | 39.5948i | 0.347811 | − | 1.27659i | ||||
\(963\) | 0.560931 | − | 2.95204i | 0.0180758 | − | 0.0951281i | ||||
\(964\) | 1.19604 | + | 0.703987i | 0.0385217 | + | 0.0226739i | ||||
\(965\) | −1.71141 | − | 2.03958i | −0.0550923 | − | 0.0656565i | ||||
\(966\) | −4.41111 | − | 6.44707i | −0.141925 | − | 0.207431i | ||||
\(967\) | −46.0060 | − | 8.11209i | −1.47945 | − | 0.260867i | −0.625093 | − | 0.780550i | \(-0.714939\pi\) |
−0.854359 | + | 0.519683i | \(0.826050\pi\) | |||||||
\(968\) | −31.0211 | + | 2.32071i | −0.997056 | + | 0.0745904i | ||||
\(969\) | 24.9970 | − | 20.6945i | 0.803019 | − | 0.664802i | ||||
\(970\) | −0.130142 | + | 1.41890i | −0.00417862 | + | 0.0455581i | ||||
\(971\) | 29.3788 | 0.942809 | 0.471405 | − | 0.881917i | \(-0.343747\pi\) | ||||
0.471405 | + | 0.881917i | \(0.343747\pi\) | |||||||
\(972\) | −30.9015 | + | 4.13517i | −0.991165 | + | 0.132636i | ||||
\(973\) | −4.33784 | −0.139065 | ||||||||
\(974\) | −0.918347 | + | 10.0124i | −0.0294257 | + | 0.320819i | ||||
\(975\) | −28.2779 | + | 23.4106i | −0.905616 | + | 0.749739i | ||||
\(976\) | −28.4879 | + | 9.83020i | −0.911875 | + | 0.314657i | ||||
\(977\) | 18.3908 | + | 3.24280i | 0.588375 | + | 0.103746i | 0.459907 | − | 0.887967i | \(-0.347883\pi\) |
0.128468 | + | 0.991714i | \(0.458994\pi\) | |||||||
\(978\) | 7.89005 | + | 11.5317i | 0.252296 | + | 0.368744i | ||||
\(979\) | 0.278270 | + | 0.331630i | 0.00889356 | + | 0.0105989i | ||||
\(980\) | 2.07554 | − | 3.52623i | 0.0663007 | − | 0.112641i | ||||
\(981\) | 4.06924 | − | 21.4153i | 0.129921 | − | 0.683739i | ||||
\(982\) | −7.34331 | + | 26.9525i | −0.234335 | + | 0.860089i | ||||
\(983\) | −4.54380 | − | 25.7692i | −0.144925 | − | 0.821909i | −0.967428 | − | 0.253148i | \(-0.918534\pi\) |
0.822503 | − | 0.568761i | \(-0.192577\pi\) | |||||||
\(984\) | −21.4838 | − | 22.3258i | −0.684879 | − | 0.711720i | ||||
\(985\) | −3.55193 | + | 1.29280i | −0.113174 | + | 0.0411919i | ||||
\(986\) | −20.2083 | + | 14.0239i | −0.643563 | + | 0.446613i | ||||
\(987\) | 5.25816 | − | 2.98955i | 0.167369 | − | 0.0951584i | ||||
\(988\) | −50.4114 | + | 41.5839i | −1.60380 | + | 1.32296i | ||||
\(989\) | 13.7596 | + | 7.94413i | 0.437531 | + | 0.252609i | ||||
\(990\) | −0.0513533 | − | 0.0147247i | −0.00163212 | − | 0.000467981i | ||||
\(991\) | 25.5875 | − | 14.7730i | 0.812815 | − | 0.469279i | −0.0351178 | − | 0.999383i | \(-0.511181\pi\) |
0.847932 | + | 0.530105i | \(0.177847\pi\) | |||||||
\(992\) | 18.5875 | − | 8.19701i | 0.590154 | − | 0.260255i | ||||
\(993\) | 34.2947 | + | 6.28151i | 1.08831 | + | 0.199338i | ||||
\(994\) | 2.31174 | − | 0.192475i | 0.0733241 | − | 0.00610495i | ||||
\(995\) | 1.03945 | + | 0.872198i | 0.0329526 | + | 0.0276505i | ||||
\(996\) | −19.6925 | + | 3.16816i | −0.623981 | + | 0.100387i | ||||
\(997\) | −37.2095 | − | 13.5431i | −1.17844 | − | 0.428916i | −0.322787 | − | 0.946472i | \(-0.604620\pi\) |
−0.855649 | + | 0.517556i | \(0.826842\pi\) | |||||||
\(998\) | 14.2410 | + | 54.0548i | 0.450790 | + | 1.71107i | ||||
\(999\) | 34.9128 | + | 0.693637i | 1.10459 | + | 0.0219457i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 108.2.l.a.23.1 | ✓ | 96 | |
3.2 | odd | 2 | 324.2.l.a.179.16 | 96 | |||
4.3 | odd | 2 | inner | 108.2.l.a.23.14 | yes | 96 | |
9.2 | odd | 6 | 972.2.l.b.215.7 | 96 | |||
9.4 | even | 3 | 972.2.l.d.863.12 | 96 | |||
9.5 | odd | 6 | 972.2.l.a.863.5 | 96 | |||
9.7 | even | 3 | 972.2.l.c.215.10 | 96 | |||
12.11 | even | 2 | 324.2.l.a.179.3 | 96 | |||
27.2 | odd | 18 | 972.2.l.d.107.3 | 96 | |||
27.7 | even | 9 | 324.2.l.a.143.3 | 96 | |||
27.11 | odd | 18 | 972.2.l.c.755.8 | 96 | |||
27.16 | even | 9 | 972.2.l.b.755.9 | 96 | |||
27.20 | odd | 18 | inner | 108.2.l.a.47.14 | yes | 96 | |
27.25 | even | 9 | 972.2.l.a.107.14 | 96 | |||
36.7 | odd | 6 | 972.2.l.c.215.8 | 96 | |||
36.11 | even | 6 | 972.2.l.b.215.9 | 96 | |||
36.23 | even | 6 | 972.2.l.a.863.14 | 96 | |||
36.31 | odd | 6 | 972.2.l.d.863.3 | 96 | |||
108.7 | odd | 18 | 324.2.l.a.143.16 | 96 | |||
108.11 | even | 18 | 972.2.l.c.755.10 | 96 | |||
108.43 | odd | 18 | 972.2.l.b.755.7 | 96 | |||
108.47 | even | 18 | inner | 108.2.l.a.47.1 | yes | 96 | |
108.79 | odd | 18 | 972.2.l.a.107.5 | 96 | |||
108.83 | even | 18 | 972.2.l.d.107.12 | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.2.l.a.23.1 | ✓ | 96 | 1.1 | even | 1 | trivial | |
108.2.l.a.23.14 | yes | 96 | 4.3 | odd | 2 | inner | |
108.2.l.a.47.1 | yes | 96 | 108.47 | even | 18 | inner | |
108.2.l.a.47.14 | yes | 96 | 27.20 | odd | 18 | inner | |
324.2.l.a.143.3 | 96 | 27.7 | even | 9 | |||
324.2.l.a.143.16 | 96 | 108.7 | odd | 18 | |||
324.2.l.a.179.3 | 96 | 12.11 | even | 2 | |||
324.2.l.a.179.16 | 96 | 3.2 | odd | 2 | |||
972.2.l.a.107.5 | 96 | 108.79 | odd | 18 | |||
972.2.l.a.107.14 | 96 | 27.25 | even | 9 | |||
972.2.l.a.863.5 | 96 | 9.5 | odd | 6 | |||
972.2.l.a.863.14 | 96 | 36.23 | even | 6 | |||
972.2.l.b.215.7 | 96 | 9.2 | odd | 6 | |||
972.2.l.b.215.9 | 96 | 36.11 | even | 6 | |||
972.2.l.b.755.7 | 96 | 108.43 | odd | 18 | |||
972.2.l.b.755.9 | 96 | 27.16 | even | 9 | |||
972.2.l.c.215.8 | 96 | 36.7 | odd | 6 | |||
972.2.l.c.215.10 | 96 | 9.7 | even | 3 | |||
972.2.l.c.755.8 | 96 | 27.11 | odd | 18 | |||
972.2.l.c.755.10 | 96 | 108.11 | even | 18 | |||
972.2.l.d.107.3 | 96 | 27.2 | odd | 18 | |||
972.2.l.d.107.12 | 96 | 108.83 | even | 18 | |||
972.2.l.d.863.3 | 96 | 36.31 | odd | 6 | |||
972.2.l.d.863.12 | 96 | 9.4 | even | 3 |