Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(19,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.cg (of order \(12\), degree \(4\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 19.4 | ||
Character | \(\chi\) | \(=\) | 273.19 |
Dual form | 273.2.cg.b.115.4 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{12}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.46932 | − | 0.393703i | −1.03897 | − | 0.278390i | −0.301281 | − | 0.953535i | \(-0.597414\pi\) |
−0.737685 | + | 0.675145i | \(0.764081\pi\) | |||||||
\(3\) | 1.00000i | 0.577350i | ||||||||
\(4\) | 0.271846 | + | 0.156950i | 0.135923 | + | 0.0784751i | ||||
\(5\) | −3.59085 | + | 0.962166i | −1.60588 | + | 0.430294i | −0.946811 | − | 0.321791i | \(-0.895715\pi\) |
−0.659067 | + | 0.752085i | \(0.729048\pi\) | |||||||
\(6\) | 0.393703 | − | 1.46932i | 0.160729 | − | 0.599847i | ||||
\(7\) | 2.64173 | − | 0.145891i | 0.998479 | − | 0.0551416i | ||||
\(8\) | 1.81360 | + | 1.81360i | 0.641203 | + | 0.641203i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 5.65491 | 1.78824 | ||||||||
\(11\) | −1.41093 | − | 1.41093i | −0.425410 | − | 0.425410i | 0.461651 | − | 0.887062i | \(-0.347257\pi\) |
−0.887062 | + | 0.461651i | \(0.847257\pi\) | |||||||
\(12\) | −0.156950 | + | 0.271846i | −0.0453076 | + | 0.0784751i | ||||
\(13\) | −1.45921 | − | 3.29708i | −0.404711 | − | 0.914444i | ||||
\(14\) | −3.93898 | − | 0.825695i | −1.05274 | − | 0.220676i | ||||
\(15\) | −0.962166 | − | 3.59085i | −0.248430 | − | 0.927154i | ||||
\(16\) | −2.26463 | − | 3.92246i | −0.566158 | − | 0.980615i | ||||
\(17\) | 2.36075 | − | 4.08893i | 0.572565 | − | 0.991712i | −0.423736 | − | 0.905786i | \(-0.639282\pi\) |
0.996301 | − | 0.0859265i | \(-0.0273850\pi\) | |||||||
\(18\) | 1.46932 | + | 0.393703i | 0.346322 | + | 0.0927966i | ||||
\(19\) | −3.15258 | − | 3.15258i | −0.723251 | − | 0.723251i | 0.246015 | − | 0.969266i | \(-0.420879\pi\) |
−0.969266 | + | 0.246015i | \(0.920879\pi\) | |||||||
\(20\) | −1.12717 | − | 0.302024i | −0.252043 | − | 0.0675346i | ||||
\(21\) | 0.145891 | + | 2.64173i | 0.0318360 | + | 0.576472i | ||||
\(22\) | 1.51761 | + | 2.62859i | 0.323557 | + | 0.560416i | ||||
\(23\) | −1.80957 | + | 1.04476i | −0.377322 | + | 0.217847i | −0.676653 | − | 0.736302i | \(-0.736570\pi\) |
0.299330 | + | 0.954150i | \(0.403237\pi\) | |||||||
\(24\) | −1.81360 | + | 1.81360i | −0.370199 | + | 0.370199i | ||||
\(25\) | 7.63832 | − | 4.40999i | 1.52766 | − | 0.881997i | ||||
\(26\) | 0.845973 | + | 5.41895i | 0.165909 | + | 1.06274i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | 0.741039 | + | 0.374959i | 0.140043 | + | 0.0708607i | ||||
\(29\) | 5.10970 | − | 8.85026i | 0.948847 | − | 1.64345i | 0.200988 | − | 0.979594i | \(-0.435585\pi\) |
0.747859 | − | 0.663858i | \(-0.231082\pi\) | |||||||
\(30\) | 5.65491i | 1.03244i | ||||||||
\(31\) | −0.591623 | + | 2.20797i | −0.106259 | + | 0.396563i | −0.998485 | − | 0.0550260i | \(-0.982476\pi\) |
0.892226 | + | 0.451589i | \(0.149142\pi\) | |||||||
\(32\) | 0.455541 | + | 1.70010i | 0.0805290 | + | 0.300538i | ||||
\(33\) | 1.41093 | − | 1.41093i | 0.245611 | − | 0.245611i | ||||
\(34\) | −5.07852 | + | 5.07852i | −0.870958 | + | 0.870958i | ||||
\(35\) | −9.34567 | + | 3.06565i | −1.57971 | + | 0.518189i | ||||
\(36\) | −0.271846 | − | 0.156950i | −0.0453076 | − | 0.0261584i | ||||
\(37\) | 0.166900 | − | 0.622880i | 0.0274382 | − | 0.102401i | −0.950849 | − | 0.309656i | \(-0.899786\pi\) |
0.978287 | + | 0.207255i | \(0.0664529\pi\) | |||||||
\(38\) | 3.39097 | + | 5.87333i | 0.550087 | + | 0.952779i | ||||
\(39\) | 3.29708 | − | 1.45921i | 0.527955 | − | 0.233660i | ||||
\(40\) | −8.25733 | − | 4.76737i | −1.30560 | − | 0.753788i | ||||
\(41\) | −8.81239 | + | 2.36127i | −1.37626 | + | 0.368769i | −0.869763 | − | 0.493471i | \(-0.835728\pi\) |
−0.506501 | + | 0.862239i | \(0.669061\pi\) | |||||||
\(42\) | 0.825695 | − | 3.93898i | 0.127407 | − | 0.607797i | ||||
\(43\) | 0.0966425 | − | 0.0557966i | 0.0147378 | − | 0.00850890i | −0.492613 | − | 0.870249i | \(-0.663958\pi\) |
0.507351 | + | 0.861740i | \(0.330625\pi\) | |||||||
\(44\) | −0.162109 | − | 0.604999i | −0.0244389 | − | 0.0912071i | ||||
\(45\) | 3.59085 | − | 0.962166i | 0.535292 | − | 0.143431i | ||||
\(46\) | 3.07017 | − | 0.822648i | 0.452671 | − | 0.121293i | ||||
\(47\) | −1.16024 | − | 4.33009i | −0.169239 | − | 0.631609i | −0.997461 | − | 0.0712092i | \(-0.977314\pi\) |
0.828222 | − | 0.560400i | \(-0.189352\pi\) | |||||||
\(48\) | 3.92246 | − | 2.26463i | 0.566158 | − | 0.326872i | ||||
\(49\) | 6.95743 | − | 0.770807i | 0.993919 | − | 0.110115i | ||||
\(50\) | −12.9594 | + | 3.47245i | −1.83273 | + | 0.491078i | ||||
\(51\) | 4.08893 | + | 2.36075i | 0.572565 | + | 0.330571i | ||||
\(52\) | 0.120797 | − | 1.12532i | 0.0167516 | − | 0.156054i | ||||
\(53\) | −2.18989 | − | 3.79299i | −0.300804 | − | 0.521008i | 0.675514 | − | 0.737347i | \(-0.263922\pi\) |
−0.976318 | + | 0.216339i | \(0.930588\pi\) | |||||||
\(54\) | −0.393703 | + | 1.46932i | −0.0535762 | + | 0.199949i | ||||
\(55\) | 6.42397 | + | 3.70888i | 0.866208 | + | 0.500105i | ||||
\(56\) | 5.05561 | + | 4.52644i | 0.675584 | + | 0.604871i | ||||
\(57\) | 3.15258 | − | 3.15258i | 0.417569 | − | 0.417569i | ||||
\(58\) | −10.9921 | + | 10.9921i | −1.44334 | + | 1.44334i | ||||
\(59\) | 0.438963 | + | 1.63823i | 0.0571481 | + | 0.213280i | 0.988595 | − | 0.150597i | \(-0.0481196\pi\) |
−0.931447 | + | 0.363877i | \(0.881453\pi\) | |||||||
\(60\) | 0.302024 | − | 1.12717i | 0.0389911 | − | 0.145517i | ||||
\(61\) | 6.75131i | 0.864416i | 0.901774 | + | 0.432208i | \(0.142265\pi\) | ||||
−0.901774 | + | 0.432208i | \(0.857735\pi\) | |||||||
\(62\) | 1.73857 | − | 3.01128i | 0.220798 | − | 0.382433i | ||||
\(63\) | −2.64173 | + | 0.145891i | −0.332826 | + | 0.0183805i | ||||
\(64\) | 6.38120i | 0.797649i | ||||||||
\(65\) | 8.41213 | + | 10.4353i | 1.04340 | + | 1.29434i | ||||
\(66\) | −2.62859 | + | 1.51761i | −0.323557 | + | 0.186805i | ||||
\(67\) | −2.10721 | + | 2.10721i | −0.257436 | + | 0.257436i | −0.824011 | − | 0.566574i | \(-0.808268\pi\) |
0.566574 | + | 0.824011i | \(0.308268\pi\) | |||||||
\(68\) | 1.28352 | − | 0.741039i | 0.155649 | − | 0.0898642i | ||||
\(69\) | −1.04476 | − | 1.80957i | −0.125774 | − | 0.217847i | ||||
\(70\) | 14.9387 | − | 0.825000i | 1.78552 | − | 0.0986064i | ||||
\(71\) | 14.4800 | + | 3.87990i | 1.71846 | + | 0.460459i | 0.977473 | − | 0.211062i | \(-0.0676921\pi\) |
0.740985 | + | 0.671521i | \(0.234359\pi\) | |||||||
\(72\) | −1.81360 | − | 1.81360i | −0.213734 | − | 0.213734i | ||||
\(73\) | −10.1535 | − | 2.72063i | −1.18838 | − | 0.318426i | −0.390135 | − | 0.920758i | \(-0.627572\pi\) |
−0.798246 | + | 0.602332i | \(0.794238\pi\) | |||||||
\(74\) | −0.490459 | + | 0.849500i | −0.0570147 | + | 0.0987524i | ||||
\(75\) | 4.40999 | + | 7.63832i | 0.509221 | + | 0.881997i | ||||
\(76\) | −0.362217 | − | 1.35181i | −0.0415492 | − | 0.155064i | ||||
\(77\) | −3.93312 | − | 3.52144i | −0.448221 | − | 0.401305i | ||||
\(78\) | −5.41895 | + | 0.845973i | −0.613575 | + | 0.0957876i | ||||
\(79\) | −0.0273492 | + | 0.0473702i | −0.00307703 | + | 0.00532957i | −0.867560 | − | 0.497333i | \(-0.834313\pi\) |
0.864483 | + | 0.502662i | \(0.167646\pi\) | |||||||
\(80\) | 11.9060 | + | 11.9060i | 1.33113 | + | 1.33113i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 13.8778 | 1.53255 | ||||||||
\(83\) | −9.05174 | − | 9.05174i | −0.993558 | − | 0.993558i | 0.00642168 | − | 0.999979i | \(-0.497956\pi\) |
−0.999979 | + | 0.00642168i | \(0.997956\pi\) | |||||||
\(84\) | −0.374959 | + | 0.741039i | −0.0409114 | + | 0.0808540i | ||||
\(85\) | −4.54286 | + | 16.9542i | −0.492742 | + | 1.83894i | ||||
\(86\) | −0.163966 | + | 0.0439346i | −0.0176809 | + | 0.00473759i | ||||
\(87\) | 8.85026 | + | 5.10970i | 0.948847 | + | 0.547817i | ||||
\(88\) | − | 5.11770i | − | 0.545549i | ||||||
\(89\) | −6.91330 | − | 1.85241i | −0.732808 | − | 0.196355i | −0.126929 | − | 0.991912i | \(-0.540512\pi\) |
−0.605879 | + | 0.795556i | \(0.707179\pi\) | |||||||
\(90\) | −5.65491 | −0.596080 | ||||||||
\(91\) | −4.33584 | − | 8.49709i | −0.454520 | − | 0.890737i | ||||
\(92\) | −0.655900 | −0.0683823 | ||||||||
\(93\) | −2.20797 | − | 0.591623i | −0.228955 | − | 0.0613484i | ||||
\(94\) | 6.81908i | 0.703334i | ||||||||
\(95\) | 14.3537 | + | 8.28714i | 1.47266 | + | 0.850243i | ||||
\(96\) | −1.70010 | + | 0.455541i | −0.173516 | + | 0.0464934i | ||||
\(97\) | −3.20050 | + | 11.9444i | −0.324962 | + | 1.21277i | 0.589388 | + | 0.807850i | \(0.299369\pi\) |
−0.914350 | + | 0.404924i | \(0.867298\pi\) | |||||||
\(98\) | −10.5262 | − | 1.60660i | −1.06330 | − | 0.162291i | ||||
\(99\) | 1.41093 | + | 1.41093i | 0.141803 | + | 0.141803i | ||||
\(100\) | 2.76859 | 0.276859 | ||||||||
\(101\) | −3.33743 | −0.332086 | −0.166043 | − | 0.986118i | \(-0.553099\pi\) | ||||
−0.166043 | + | 0.986118i | \(0.553099\pi\) | |||||||
\(102\) | −5.07852 | − | 5.07852i | −0.502848 | − | 0.502848i | ||||
\(103\) | 9.27777 | − | 16.0696i | 0.914166 | − | 1.58338i | 0.106048 | − | 0.994361i | \(-0.466180\pi\) |
0.808118 | − | 0.589021i | \(-0.200486\pi\) | |||||||
\(104\) | 3.33315 | − | 8.62598i | 0.326842 | − | 0.845847i | ||||
\(105\) | −3.06565 | − | 9.34567i | −0.299177 | − | 0.912044i | ||||
\(106\) | 1.72433 | + | 6.43528i | 0.167482 | + | 0.625050i | ||||
\(107\) | −2.66439 | − | 4.61486i | −0.257576 | − | 0.446135i | 0.708016 | − | 0.706197i | \(-0.249591\pi\) |
−0.965592 | + | 0.260061i | \(0.916257\pi\) | |||||||
\(108\) | 0.156950 | − | 0.271846i | 0.0151025 | − | 0.0261584i | ||||
\(109\) | −10.8027 | − | 2.89458i | −1.03471 | − | 0.277251i | −0.298793 | − | 0.954318i | \(-0.596584\pi\) |
−0.735921 | + | 0.677067i | \(0.763251\pi\) | |||||||
\(110\) | −7.97866 | − | 7.97866i | −0.760736 | − | 0.760736i | ||||
\(111\) | 0.622880 | + | 0.166900i | 0.0591212 | + | 0.0158415i | ||||
\(112\) | −6.55479 | − | 10.0317i | −0.619370 | − | 0.947904i | ||||
\(113\) | 1.28775 | + | 2.23045i | 0.121142 | + | 0.209823i | 0.920218 | − | 0.391406i | \(-0.128011\pi\) |
−0.799077 | + | 0.601229i | \(0.794678\pi\) | |||||||
\(114\) | −5.87333 | + | 3.39097i | −0.550087 | + | 0.317593i | ||||
\(115\) | 5.49268 | − | 5.49268i | 0.512195 | − | 0.512195i | ||||
\(116\) | 2.77810 | − | 1.60394i | 0.257940 | − | 0.148922i | ||||
\(117\) | 1.45921 | + | 3.29708i | 0.134904 | + | 0.304815i | ||||
\(118\) | − | 2.57990i | − | 0.237499i | ||||||
\(119\) | 5.63991 | − | 11.1463i | 0.517010 | − | 1.02178i | ||||
\(120\) | 4.76737 | − | 8.25733i | 0.435200 | − | 0.753788i | ||||
\(121\) | − | 7.01857i | − | 0.638052i | ||||||
\(122\) | 2.65801 | − | 9.91982i | 0.240645 | − | 0.898099i | ||||
\(123\) | −2.36127 | − | 8.81239i | −0.212909 | − | 0.794586i | ||||
\(124\) | −0.507371 | + | 0.507371i | −0.0455632 | + | 0.0455632i | ||||
\(125\) | −10.0415 | + | 10.0415i | −0.898140 | + | 0.898140i | ||||
\(126\) | 3.93898 | + | 0.825695i | 0.350912 | + | 0.0735587i | ||||
\(127\) | −15.9822 | − | 9.22735i | −1.41819 | − | 0.818795i | −0.422054 | − | 0.906570i | \(-0.638691\pi\) |
−0.996140 | + | 0.0877754i | \(0.972024\pi\) | |||||||
\(128\) | 3.42338 | − | 12.7762i | 0.302587 | − | 1.12927i | ||||
\(129\) | 0.0557966 | + | 0.0966425i | 0.00491262 | + | 0.00850890i | ||||
\(130\) | −8.25169 | − | 18.6447i | −0.723721 | − | 1.63525i | ||||
\(131\) | 5.76722 | + | 3.32971i | 0.503885 | + | 0.290918i | 0.730316 | − | 0.683109i | \(-0.239373\pi\) |
−0.226432 | + | 0.974027i | \(0.572706\pi\) | |||||||
\(132\) | 0.604999 | − | 0.162109i | 0.0526584 | − | 0.0141098i | ||||
\(133\) | −8.78818 | − | 7.86832i | −0.762032 | − | 0.682270i | ||||
\(134\) | 3.92577 | − | 2.26654i | 0.339135 | − | 0.195800i | ||||
\(135\) | 0.962166 | + | 3.59085i | 0.0828100 | + | 0.309051i | ||||
\(136\) | 11.6971 | − | 3.13423i | 1.00302 | − | 0.268758i | ||||
\(137\) | 15.4237 | − | 4.13276i | 1.31773 | − | 0.353085i | 0.469604 | − | 0.882877i | \(-0.344397\pi\) |
0.848128 | + | 0.529792i | \(0.177730\pi\) | |||||||
\(138\) | 0.822648 | + | 3.07017i | 0.0700285 | + | 0.261350i | ||||
\(139\) | −9.32621 | + | 5.38449i | −0.791038 | + | 0.456706i | −0.840328 | − | 0.542078i | \(-0.817638\pi\) |
0.0492896 | + | 0.998785i | \(0.484304\pi\) | |||||||
\(140\) | −3.02173 | − | 0.633421i | −0.255383 | − | 0.0535339i | ||||
\(141\) | 4.33009 | − | 1.16024i | 0.364660 | − | 0.0977102i | ||||
\(142\) | −19.7482 | − | 11.4016i | −1.65723 | − | 0.956803i | ||||
\(143\) | −2.59310 | + | 6.71077i | −0.216846 | + | 0.561182i | ||||
\(144\) | 2.26463 | + | 3.92246i | 0.188719 | + | 0.326872i | ||||
\(145\) | −9.83275 | + | 36.6963i | −0.816565 | + | 3.04746i | ||||
\(146\) | 13.8476 | + | 7.99494i | 1.14604 | + | 0.661666i | ||||
\(147\) | 0.770807 | + | 6.95743i | 0.0635751 | + | 0.573839i | ||||
\(148\) | 0.143132 | − | 0.143132i | 0.0117654 | − | 0.0117654i | ||||
\(149\) | 1.87483 | − | 1.87483i | 0.153592 | − | 0.153592i | −0.626128 | − | 0.779720i | \(-0.715361\pi\) |
0.779720 | + | 0.626128i | \(0.215361\pi\) | |||||||
\(150\) | −3.47245 | − | 12.9594i | −0.283524 | − | 1.05813i | ||||
\(151\) | 0.927335 | − | 3.46086i | 0.0754655 | − | 0.281641i | −0.917873 | − | 0.396874i | \(-0.870095\pi\) |
0.993338 | + | 0.115233i | \(0.0367615\pi\) | |||||||
\(152\) | − | 11.4350i | − | 0.927502i | ||||||
\(153\) | −2.36075 | + | 4.08893i | −0.190855 | + | 0.330571i | ||||
\(154\) | 4.39261 | + | 6.72260i | 0.353967 | + | 0.541722i | ||||
\(155\) | − | 8.49772i | − | 0.682553i | ||||||
\(156\) | 1.12532 | + | 0.120797i | 0.0900976 | + | 0.00967153i | ||||
\(157\) | −8.63943 | + | 4.98798i | −0.689502 | + | 0.398084i | −0.803425 | − | 0.595406i | \(-0.796991\pi\) |
0.113924 | + | 0.993490i | \(0.463658\pi\) | |||||||
\(158\) | 0.0588345 | − | 0.0588345i | 0.00468062 | − | 0.00468062i | ||||
\(159\) | 3.79299 | − | 2.18989i | 0.300804 | − | 0.173669i | ||||
\(160\) | −3.27156 | − | 5.66651i | −0.258639 | − | 0.447977i | ||||
\(161\) | −4.62798 | + | 3.02396i | −0.364736 | + | 0.238322i | ||||
\(162\) | −1.46932 | − | 0.393703i | −0.115441 | − | 0.0309322i | ||||
\(163\) | −0.822174 | − | 0.822174i | −0.0643977 | − | 0.0643977i | 0.674174 | − | 0.738572i | \(-0.264500\pi\) |
−0.738572 | + | 0.674174i | \(0.764500\pi\) | |||||||
\(164\) | −2.76621 | − | 0.741204i | −0.216005 | − | 0.0578783i | ||||
\(165\) | −3.70888 | + | 6.42397i | −0.288736 | + | 0.500105i | ||||
\(166\) | 9.73620 | + | 16.8636i | 0.755676 | + | 1.30887i | ||||
\(167\) | 1.15161 | + | 4.29785i | 0.0891139 | + | 0.332578i | 0.996061 | − | 0.0886660i | \(-0.0282604\pi\) |
−0.906947 | + | 0.421244i | \(0.861594\pi\) | |||||||
\(168\) | −4.52644 | + | 5.05561i | −0.349222 | + | 0.390049i | ||||
\(169\) | −8.74143 | + | 9.62224i | −0.672417 | + | 0.740172i | ||||
\(170\) | 13.3498 | − | 23.1226i | 1.02388 | − | 1.77342i | ||||
\(171\) | 3.15258 | + | 3.15258i | 0.241084 | + | 0.241084i | ||||
\(172\) | 0.0350291 | 0.00267095 | ||||||||
\(173\) | −19.6085 | −1.49081 | −0.745403 | − | 0.666614i | \(-0.767743\pi\) | ||||
−0.745403 | + | 0.666614i | \(0.767743\pi\) | |||||||
\(174\) | −10.9921 | − | 10.9921i | −0.833313 | − | 0.833313i | ||||
\(175\) | 19.5350 | − | 12.7643i | 1.47671 | − | 0.964893i | ||||
\(176\) | −2.33907 | + | 8.72953i | −0.176314 | + | 0.658013i | ||||
\(177\) | −1.63823 | + | 0.438963i | −0.123137 | + | 0.0329945i | ||||
\(178\) | 9.42854 | + | 5.44357i | 0.706699 | + | 0.408013i | ||||
\(179\) | 23.0627i | 1.72379i | 0.507088 | + | 0.861894i | \(0.330722\pi\) | ||||
−0.507088 | + | 0.861894i | \(0.669278\pi\) | |||||||
\(180\) | 1.12717 | + | 0.302024i | 0.0840142 | + | 0.0225115i | ||||
\(181\) | 20.5419 | 1.52686 | 0.763432 | − | 0.645888i | \(-0.223513\pi\) | ||||
0.763432 | + | 0.645888i | \(0.223513\pi\) | |||||||
\(182\) | 3.02540 | + | 14.1920i | 0.224258 | + | 1.05198i | ||||
\(183\) | −6.75131 | −0.499071 | ||||||||
\(184\) | −5.17661 | − | 1.38707i | −0.381624 | − | 0.102256i | ||||
\(185\) | 2.39726i | 0.176250i | ||||||||
\(186\) | 3.01128 | + | 1.73857i | 0.220798 | + | 0.127478i | ||||
\(187\) | −9.10002 | + | 2.43834i | −0.665460 | + | 0.178309i | ||||
\(188\) | 0.364201 | − | 1.35922i | 0.0265621 | − | 0.0991311i | ||||
\(189\) | −0.145891 | − | 2.64173i | −0.0106120 | − | 0.192157i | ||||
\(190\) | −17.8276 | − | 17.8276i | −1.29335 | − | 1.29335i | ||||
\(191\) | 22.9816 | 1.66289 | 0.831443 | − | 0.555609i | \(-0.187515\pi\) | ||||
0.831443 | + | 0.555609i | \(0.187515\pi\) | |||||||
\(192\) | −6.38120 | −0.460523 | ||||||||
\(193\) | −5.51721 | − | 5.51721i | −0.397137 | − | 0.397137i | 0.480085 | − | 0.877222i | \(-0.340606\pi\) |
−0.877222 | + | 0.480085i | \(0.840606\pi\) | |||||||
\(194\) | 9.40512 | − | 16.2901i | 0.675248 | − | 1.16956i | ||||
\(195\) | −10.4353 | + | 8.41213i | −0.747288 | + | 0.602405i | ||||
\(196\) | 2.01233 | + | 0.882429i | 0.143738 | + | 0.0630307i | ||||
\(197\) | −2.60698 | − | 9.72938i | −0.185740 | − | 0.693190i | −0.994471 | − | 0.105012i | \(-0.966512\pi\) |
0.808731 | − | 0.588178i | \(-0.200155\pi\) | |||||||
\(198\) | −1.51761 | − | 2.62859i | −0.107852 | − | 0.186805i | ||||
\(199\) | 3.84516 | − | 6.66002i | 0.272576 | − | 0.472116i | −0.696944 | − | 0.717125i | \(-0.745458\pi\) |
0.969521 | + | 0.245009i | \(0.0787909\pi\) | |||||||
\(200\) | 21.8508 | + | 5.85489i | 1.54508 | + | 0.414004i | ||||
\(201\) | −2.10721 | − | 2.10721i | −0.148631 | − | 0.148631i | ||||
\(202\) | 4.90374 | + | 1.31395i | 0.345026 | + | 0.0924495i | ||||
\(203\) | 12.2072 | − | 24.1254i | 0.856781 | − | 1.69327i | ||||
\(204\) | 0.741039 | + | 1.28352i | 0.0518831 | + | 0.0898642i | ||||
\(205\) | 29.3720 | − | 16.9580i | 2.05143 | − | 1.18439i | ||||
\(206\) | −19.9586 | + | 19.9586i | −1.39058 | + | 1.39058i | ||||
\(207\) | 1.80957 | − | 1.04476i | 0.125774 | − | 0.0726157i | ||||
\(208\) | −9.62808 | + | 13.1904i | −0.667587 | + | 0.914587i | ||||
\(209\) | 8.89611i | 0.615357i | ||||||||
\(210\) | 0.825000 | + | 14.9387i | 0.0569304 | + | 1.03087i | ||||
\(211\) | 4.74990 | − | 8.22707i | 0.326997 | − | 0.566375i | −0.654918 | − | 0.755700i | \(-0.727297\pi\) |
0.981914 | + | 0.189325i | \(0.0606301\pi\) | |||||||
\(212\) | − | 1.37481i | − | 0.0944224i | ||||||
\(213\) | −3.87990 | + | 14.4800i | −0.265846 | + | 0.992152i | ||||
\(214\) | 2.09796 | + | 7.82968i | 0.143413 | + | 0.535226i | ||||
\(215\) | −0.293343 | + | 0.293343i | −0.0200059 | + | 0.0200059i | ||||
\(216\) | 1.81360 | − | 1.81360i | 0.123400 | − | 0.123400i | ||||
\(217\) | −1.24078 | + | 5.91916i | −0.0842299 | + | 0.401818i | ||||
\(218\) | 14.7331 | + | 8.50613i | 0.997848 | + | 0.576108i | ||||
\(219\) | 2.72063 | − | 10.1535i | 0.183843 | − | 0.686112i | ||||
\(220\) | 1.16422 | + | 2.01649i | 0.0784916 | + | 0.135951i | ||||
\(221\) | −16.9263 | − | 1.81696i | −1.13859 | − | 0.122222i | ||||
\(222\) | −0.849500 | − | 0.490459i | −0.0570147 | − | 0.0329175i | ||||
\(223\) | 16.5658 | − | 4.43878i | 1.10933 | − | 0.297243i | 0.342769 | − | 0.939420i | \(-0.388635\pi\) |
0.766556 | + | 0.642177i | \(0.221969\pi\) | |||||||
\(224\) | 1.45144 | + | 4.42474i | 0.0969786 | + | 0.295641i | ||||
\(225\) | −7.63832 | + | 4.40999i | −0.509221 | + | 0.293999i | ||||
\(226\) | −1.01398 | − | 3.78424i | −0.0674492 | − | 0.251724i | ||||
\(227\) | 6.00538 | − | 1.60914i | 0.398591 | − | 0.106802i | −0.0539546 | − | 0.998543i | \(-0.517183\pi\) |
0.452546 | + | 0.891741i | \(0.350516\pi\) | |||||||
\(228\) | 1.35181 | − | 0.362217i | 0.0895260 | − | 0.0239884i | ||||
\(229\) | −1.25618 | − | 4.68814i | −0.0830110 | − | 0.309801i | 0.911919 | − | 0.410370i | \(-0.134600\pi\) |
−0.994930 | + | 0.100569i | \(0.967934\pi\) | |||||||
\(230\) | −10.2330 | + | 5.90802i | −0.674743 | + | 0.389563i | ||||
\(231\) | 3.52144 | − | 3.93312i | 0.231694 | − | 0.258780i | ||||
\(232\) | 25.3177 | − | 6.78386i | 1.66219 | − | 0.445382i | ||||
\(233\) | −11.3722 | − | 6.56573i | −0.745016 | − | 0.430135i | 0.0788741 | − | 0.996885i | \(-0.474867\pi\) |
−0.823890 | + | 0.566749i | \(0.808201\pi\) | |||||||
\(234\) | −0.845973 | − | 5.41895i | −0.0553030 | − | 0.354248i | ||||
\(235\) | 8.33253 | + | 14.4324i | 0.543554 | + | 0.941464i | ||||
\(236\) | −0.137790 | + | 0.514241i | −0.00896940 | + | 0.0334742i | ||||
\(237\) | −0.0473702 | − | 0.0273492i | −0.00307703 | − | 0.00177652i | ||||
\(238\) | −12.6751 | + | 14.1570i | −0.821607 | + | 0.917659i | ||||
\(239\) | 6.23607 | − | 6.23607i | 0.403378 | − | 0.403378i | −0.476044 | − | 0.879422i | \(-0.657930\pi\) |
0.879422 | + | 0.476044i | \(0.157930\pi\) | |||||||
\(240\) | −11.9060 | + | 11.9060i | −0.768530 | + | 0.768530i | ||||
\(241\) | 2.36670 | + | 8.83265i | 0.152453 | + | 0.568961i | 0.999310 | + | 0.0371409i | \(0.0118250\pi\) |
−0.846857 | + | 0.531820i | \(0.821508\pi\) | |||||||
\(242\) | −2.76323 | + | 10.3125i | −0.177627 | + | 0.662914i | ||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | −1.05962 | + | 1.83531i | −0.0678351 | + | 0.117494i | ||||
\(245\) | −24.2415 | + | 9.46206i | −1.54873 | + | 0.604509i | ||||
\(246\) | 13.8778i | 0.884819i | ||||||||
\(247\) | −5.79403 | + | 14.9946i | −0.368665 | + | 0.954081i | ||||
\(248\) | −5.07732 | + | 2.93139i | −0.322410 | + | 0.186144i | ||||
\(249\) | 9.05174 | − | 9.05174i | 0.573631 | − | 0.573631i | ||||
\(250\) | 18.7075 | − | 10.8008i | 1.18317 | − | 0.683103i | ||||
\(251\) | 6.74060 | + | 11.6751i | 0.425463 | + | 0.736924i | 0.996464 | − | 0.0840260i | \(-0.0267779\pi\) |
−0.571000 | + | 0.820950i | \(0.693445\pi\) | |||||||
\(252\) | −0.741039 | − | 0.374959i | −0.0466811 | − | 0.0236202i | ||||
\(253\) | 4.02725 | + | 1.07910i | 0.253191 | + | 0.0678424i | ||||
\(254\) | 19.8502 | + | 19.8502i | 1.24551 | + | 1.24551i | ||||
\(255\) | −16.9542 | − | 4.54286i | −1.06171 | − | 0.284485i | ||||
\(256\) | −3.67887 | + | 6.37199i | −0.229929 | + | 0.398249i | ||||
\(257\) | 4.92529 | + | 8.53085i | 0.307231 | + | 0.532140i | 0.977756 | − | 0.209747i | \(-0.0672642\pi\) |
−0.670524 | + | 0.741887i | \(0.733931\pi\) | |||||||
\(258\) | −0.0439346 | − | 0.163966i | −0.00273525 | − | 0.0102081i | ||||
\(259\) | 0.350032 | − | 1.66983i | 0.0217499 | − | 0.103758i | ||||
\(260\) | 0.648977 | + | 4.15708i | 0.0402479 | + | 0.257811i | ||||
\(261\) | −5.10970 | + | 8.85026i | −0.316282 | + | 0.547817i | ||||
\(262\) | −7.16297 | − | 7.16297i | −0.442530 | − | 0.442530i | ||||
\(263\) | −10.0381 | −0.618973 | −0.309486 | − | 0.950904i | \(-0.600157\pi\) | ||||
−0.309486 | + | 0.950904i | \(0.600157\pi\) | |||||||
\(264\) | 5.11770 | 0.314973 | ||||||||
\(265\) | 11.5130 | + | 11.5130i | 0.707240 | + | 0.707240i | ||||
\(266\) | 9.81487 | + | 15.0210i | 0.601788 | + | 0.920997i | ||||
\(267\) | 1.85241 | − | 6.91330i | 0.113366 | − | 0.423087i | ||||
\(268\) | −0.903561 | + | 0.242108i | −0.0551938 | + | 0.0147891i | ||||
\(269\) | −26.1996 | − | 15.1263i | −1.59742 | − | 0.922268i | −0.991983 | − | 0.126372i | \(-0.959667\pi\) |
−0.605433 | − | 0.795896i | \(-0.707000\pi\) | |||||||
\(270\) | − | 5.65491i | − | 0.344147i | ||||||
\(271\) | 16.9184 | + | 4.53326i | 1.02772 | + | 0.275376i | 0.733014 | − | 0.680213i | \(-0.238113\pi\) |
0.294702 | + | 0.955589i | \(0.404779\pi\) | |||||||
\(272\) | −21.3849 | −1.29665 | ||||||||
\(273\) | 8.49709 | − | 4.33584i | 0.514267 | − | 0.262417i | ||||
\(274\) | −24.2893 | −1.46737 | ||||||||
\(275\) | −16.9993 | − | 4.55494i | −1.02509 | − | 0.274673i | ||||
\(276\) | − | 0.655900i | − | 0.0394805i | ||||||
\(277\) | 15.4484 | + | 8.91911i | 0.928202 | + | 0.535897i | 0.886242 | − | 0.463222i | \(-0.153307\pi\) |
0.0419593 | + | 0.999119i | \(0.486640\pi\) | |||||||
\(278\) | 15.8231 | − | 4.23978i | 0.949004 | − | 0.254285i | ||||
\(279\) | 0.591623 | − | 2.20797i | 0.0354195 | − | 0.132188i | ||||
\(280\) | −22.5091 | − | 11.3894i | −1.34518 | − | 0.680648i | ||||
\(281\) | 0.156351 | + | 0.156351i | 0.00932711 | + | 0.00932711i | 0.711755 | − | 0.702428i | \(-0.247901\pi\) |
−0.702428 | + | 0.711755i | \(0.747901\pi\) | |||||||
\(282\) | −6.81908 | −0.406070 | ||||||||
\(283\) | −25.7108 | −1.52835 | −0.764176 | − | 0.645008i | \(-0.776854\pi\) | ||||
−0.764176 | + | 0.645008i | \(0.776854\pi\) | |||||||
\(284\) | 3.32737 | + | 3.32737i | 0.197443 | + | 0.197443i | ||||
\(285\) | −8.28714 | + | 14.3537i | −0.490888 | + | 0.850243i | ||||
\(286\) | 6.45213 | − | 8.83935i | 0.381523 | − | 0.522681i | ||||
\(287\) | −22.9354 | + | 7.52348i | −1.35384 | + | 0.444097i | ||||
\(288\) | −0.455541 | − | 1.70010i | −0.0268430 | − | 0.100179i | ||||
\(289\) | −2.64625 | − | 4.58345i | −0.155662 | − | 0.269615i | ||||
\(290\) | 28.8949 | − | 50.0474i | 1.69677 | − | 2.93889i | ||||
\(291\) | −11.9444 | − | 3.20050i | −0.700195 | − | 0.187617i | ||||
\(292\) | −2.33319 | − | 2.33319i | −0.136540 | − | 0.136540i | ||||
\(293\) | 15.5701 | + | 4.17200i | 0.909615 | + | 0.243731i | 0.683141 | − | 0.730286i | \(-0.260613\pi\) |
0.226474 | + | 0.974017i | \(0.427280\pi\) | |||||||
\(294\) | 1.60660 | − | 10.5262i | 0.0936987 | − | 0.613898i | ||||
\(295\) | −3.15250 | − | 5.46029i | −0.183546 | − | 0.317910i | ||||
\(296\) | 1.43234 | − | 0.826963i | 0.0832532 | − | 0.0480663i | ||||
\(297\) | −1.41093 | + | 1.41093i | −0.0818702 | + | 0.0818702i | ||||
\(298\) | −3.49286 | + | 2.01660i | −0.202336 | + | 0.116819i | ||||
\(299\) | 6.08519 | + | 4.44179i | 0.351916 | + | 0.256875i | ||||
\(300\) | 2.76859i | 0.159845i | ||||||||
\(301\) | 0.247163 | − | 0.161499i | 0.0142462 | − | 0.00930862i | ||||
\(302\) | −2.72510 | + | 4.72002i | −0.156812 | + | 0.271606i | ||||
\(303\) | − | 3.33743i | − | 0.191730i | ||||||
\(304\) | −5.22643 | + | 19.5053i | −0.299756 | + | 1.11871i | ||||
\(305\) | −6.49588 | − | 24.2429i | −0.371953 | − | 1.38815i | ||||
\(306\) | 5.07852 | − | 5.07852i | 0.290319 | − | 0.290319i | ||||
\(307\) | 21.2119 | − | 21.2119i | 1.21063 | − | 1.21063i | 0.239809 | − | 0.970820i | \(-0.422915\pi\) |
0.970820 | − | 0.239809i | \(-0.0770849\pi\) | |||||||
\(308\) | −0.516511 | − | 1.57459i | −0.0294310 | − | 0.0897207i | ||||
\(309\) | 16.0696 | + | 9.27777i | 0.914166 | + | 0.527794i | ||||
\(310\) | −3.34558 | + | 12.4859i | −0.190016 | + | 0.709149i | ||||
\(311\) | 12.0212 | + | 20.8214i | 0.681660 | + | 1.18067i | 0.974474 | + | 0.224501i | \(0.0720752\pi\) |
−0.292813 | + | 0.956170i | \(0.594591\pi\) | |||||||
\(312\) | 8.62598 | + | 3.33315i | 0.488350 | + | 0.188703i | ||||
\(313\) | 20.0578 | + | 11.5804i | 1.13373 | + | 0.654562i | 0.944872 | − | 0.327441i | \(-0.106186\pi\) |
0.188863 | + | 0.982003i | \(0.439520\pi\) | |||||||
\(314\) | 14.6579 | − | 3.92756i | 0.827191 | − | 0.221645i | ||||
\(315\) | 9.34567 | − | 3.06565i | 0.526569 | − | 0.172730i | ||||
\(316\) | −0.0148695 | + | 0.00858493i | −0.000836477 | + | 0.000482940i | ||||
\(317\) | 5.29442 | + | 19.7590i | 0.297364 | + | 1.10978i | 0.939322 | + | 0.343038i | \(0.111456\pi\) |
−0.641958 | + | 0.766740i | \(0.721877\pi\) | |||||||
\(318\) | −6.43528 | + | 1.72433i | −0.360873 | + | 0.0966955i | ||||
\(319\) | −19.6965 | + | 5.27765i | −1.10279 | + | 0.295492i | ||||
\(320\) | −6.13977 | − | 22.9139i | −0.343223 | − | 1.28093i | ||||
\(321\) | 4.61486 | − | 2.66439i | 0.257576 | − | 0.148712i | ||||
\(322\) | 7.99052 | − | 2.62112i | 0.445294 | − | 0.146069i | ||||
\(323\) | −20.3331 | + | 5.44825i | −1.13137 | + | 0.303149i | ||||
\(324\) | 0.271846 | + | 0.156950i | 0.0151025 | + | 0.00871945i | ||||
\(325\) | −25.6860 | − | 18.7490i | −1.42480 | − | 1.04001i | ||||
\(326\) | 0.884344 | + | 1.53173i | 0.0489793 | + | 0.0848346i | ||||
\(327\) | 2.89458 | − | 10.8027i | 0.160071 | − | 0.597392i | ||||
\(328\) | −20.2645 | − | 11.6997i | −1.11892 | − | 0.646009i | ||||
\(329\) | −3.69677 | − | 11.2696i | −0.203809 | − | 0.621316i | ||||
\(330\) | 7.97866 | − | 7.97866i | 0.439211 | − | 0.439211i | ||||
\(331\) | −14.8316 | + | 14.8316i | −0.815218 | + | 0.815218i | −0.985411 | − | 0.170193i | \(-0.945561\pi\) |
0.170193 | + | 0.985411i | \(0.445561\pi\) | |||||||
\(332\) | −1.04000 | − | 3.88135i | −0.0570776 | − | 0.213017i | ||||
\(333\) | −0.166900 | + | 0.622880i | −0.00914608 | + | 0.0341336i | ||||
\(334\) | − | 6.76830i | − | 0.370345i | ||||||
\(335\) | 5.53918 | − | 9.59414i | 0.302638 | − | 0.524184i | ||||
\(336\) | 10.0317 | − | 6.55479i | 0.547273 | − | 0.357593i | ||||
\(337\) | 30.0384i | 1.63629i | 0.575009 | + | 0.818147i | \(0.304999\pi\) | ||||
−0.575009 | + | 0.818147i | \(0.695001\pi\) | |||||||
\(338\) | 16.6322 | − | 10.6966i | 0.904675 | − | 0.581819i | ||||
\(339\) | −2.23045 | + | 1.28775i | −0.121142 | + | 0.0699411i | ||||
\(340\) | −3.89592 | + | 3.89592i | −0.211286 | + | 0.211286i | ||||
\(341\) | 3.95001 | − | 2.28054i | 0.213905 | − | 0.123498i | ||||
\(342\) | −3.39097 | − | 5.87333i | −0.183362 | − | 0.317593i | ||||
\(343\) | 18.2672 | − | 3.05129i | 0.986335 | − | 0.164754i | ||||
\(344\) | 0.276463 | + | 0.0740780i | 0.0149059 | + | 0.00399402i | ||||
\(345\) | 5.49268 | + | 5.49268i | 0.295716 | + | 0.295716i | ||||
\(346\) | 28.8111 | + | 7.71992i | 1.54890 | + | 0.415026i | ||||
\(347\) | −0.955000 | + | 1.65411i | −0.0512671 | + | 0.0887972i | −0.890520 | − | 0.454944i | \(-0.849659\pi\) |
0.839253 | + | 0.543741i | \(0.182993\pi\) | |||||||
\(348\) | 1.60394 | + | 2.77810i | 0.0859800 | + | 0.148922i | ||||
\(349\) | −0.864466 | − | 3.22623i | −0.0462738 | − | 0.172696i | 0.938922 | − | 0.344131i | \(-0.111826\pi\) |
−0.985195 | + | 0.171435i | \(0.945160\pi\) | |||||||
\(350\) | −33.7285 | + | 11.0639i | −1.80286 | + | 0.591391i | ||||
\(351\) | −3.29708 | + | 1.45921i | −0.175985 | + | 0.0778867i | ||||
\(352\) | 1.75598 | − | 3.04145i | 0.0935942 | − | 0.162110i | ||||
\(353\) | −7.04763 | − | 7.04763i | −0.375108 | − | 0.375108i | 0.494226 | − | 0.869334i | \(-0.335452\pi\) |
−0.869334 | + | 0.494226i | \(0.835452\pi\) | |||||||
\(354\) | 2.57990 | 0.137120 | ||||||||
\(355\) | −55.7286 | −2.95777 | ||||||||
\(356\) | −1.58861 | − | 1.58861i | −0.0841963 | − | 0.0841963i | ||||
\(357\) | 11.1463 | + | 5.63991i | 0.589922 | + | 0.298496i | ||||
\(358\) | 9.07986 | − | 33.8865i | 0.479885 | − | 1.79096i | ||||
\(359\) | 13.3711 | − | 3.58279i | 0.705702 | − | 0.189092i | 0.111919 | − | 0.993717i | \(-0.464300\pi\) |
0.593783 | + | 0.804625i | \(0.297634\pi\) | |||||||
\(360\) | 8.25733 | + | 4.76737i | 0.435200 | + | 0.251263i | ||||
\(361\) | 0.877521i | 0.0461853i | ||||||||
\(362\) | −30.1826 | − | 8.08739i | −1.58636 | − | 0.425064i | ||||
\(363\) | 7.01857 | 0.368380 | ||||||||
\(364\) | 0.154940 | − | 2.99041i | 0.00812106 | − | 0.156740i | ||||
\(365\) | 39.0775 | 2.04541 | ||||||||
\(366\) | 9.91982 | + | 2.65801i | 0.518517 | + | 0.138936i | ||||
\(367\) | − | 26.2338i | − | 1.36939i | −0.728827 | − | 0.684697i | \(-0.759934\pi\) | ||
0.728827 | − | 0.684697i | \(-0.240066\pi\) | |||||||
\(368\) | 8.19604 | + | 4.73199i | 0.427248 | + | 0.246672i | ||||
\(369\) | 8.81239 | − | 2.36127i | 0.458755 | − | 0.122923i | ||||
\(370\) | 0.943806 | − | 3.52233i | 0.0490661 | − | 0.183117i | ||||
\(371\) | −6.33844 | − | 9.70056i | −0.329075 | − | 0.503628i | ||||
\(372\) | −0.507371 | − | 0.507371i | −0.0263059 | − | 0.0263059i | ||||
\(373\) | 14.3805 | 0.744596 | 0.372298 | − | 0.928113i | \(-0.378570\pi\) | ||||
0.372298 | + | 0.928113i | \(0.378570\pi\) | |||||||
\(374\) | 14.3308 | 0.741029 | ||||||||
\(375\) | −10.0415 | − | 10.0415i | −0.518541 | − | 0.518541i | ||||
\(376\) | 5.74882 | − | 9.95725i | 0.296473 | − | 0.513506i | ||||
\(377\) | −36.6361 | − | 3.93270i | −1.88685 | − | 0.202545i | ||||
\(378\) | −0.825695 | + | 3.93898i | −0.0424692 | + | 0.202599i | ||||
\(379\) | 0.297354 | + | 1.10974i | 0.0152740 | + | 0.0570035i | 0.973142 | − | 0.230205i | \(-0.0739395\pi\) |
−0.957868 | + | 0.287208i | \(0.907273\pi\) | |||||||
\(380\) | 2.60134 | + | 4.50565i | 0.133446 | + | 0.231135i | ||||
\(381\) | 9.22735 | − | 15.9822i | 0.472732 | − | 0.818795i | ||||
\(382\) | −33.7672 | − | 9.04790i | −1.72768 | − | 0.462931i | ||||
\(383\) | 14.5999 | + | 14.5999i | 0.746019 | + | 0.746019i | 0.973729 | − | 0.227710i | \(-0.0731237\pi\) |
−0.227710 | + | 0.973729i | \(0.573124\pi\) | |||||||
\(384\) | 12.7762 | + | 3.42338i | 0.651983 | + | 0.174698i | ||||
\(385\) | 17.5115 | + | 8.86065i | 0.892467 | + | 0.451580i | ||||
\(386\) | 5.93440 | + | 10.2787i | 0.302053 | + | 0.523171i | ||||
\(387\) | −0.0966425 | + | 0.0557966i | −0.00491262 | + | 0.00283630i | ||||
\(388\) | −2.74472 | + | 2.74472i | −0.139342 | + | 0.139342i | ||||
\(389\) | −25.6552 | + | 14.8121i | −1.30077 | + | 0.751001i | −0.980537 | − | 0.196337i | \(-0.937095\pi\) |
−0.320236 | + | 0.947338i | \(0.603762\pi\) | |||||||
\(390\) | 18.6447 | − | 8.25169i | 0.944110 | − | 0.417841i | ||||
\(391\) | 9.86564i | 0.498927i | ||||||||
\(392\) | 14.0159 | + | 11.2200i | 0.707910 | + | 0.566697i | ||||
\(393\) | −3.32971 | + | 5.76722i | −0.167962 | + | 0.290918i | ||||
\(394\) | 15.3219i | 0.771908i | ||||||||
\(395\) | 0.0526290 | − | 0.196414i | 0.00264805 | − | 0.00988266i | ||||
\(396\) | 0.162109 | + | 0.604999i | 0.00814629 | + | 0.0304024i | ||||
\(397\) | 13.3468 | − | 13.3468i | 0.669857 | − | 0.669857i | −0.287826 | − | 0.957683i | \(-0.592932\pi\) |
0.957683 | + | 0.287826i | \(0.0929323\pi\) | |||||||
\(398\) | −8.27184 | + | 8.27184i | −0.414630 | + | 0.414630i | ||||
\(399\) | 7.86832 | − | 8.78818i | 0.393909 | − | 0.439960i | ||||
\(400\) | −34.5960 | − | 19.9740i | −1.72980 | − | 0.998700i | ||||
\(401\) | −2.33975 | + | 8.73208i | −0.116842 | + | 0.436059i | −0.999418 | − | 0.0341098i | \(-0.989140\pi\) |
0.882576 | + | 0.470169i | \(0.155807\pi\) | |||||||
\(402\) | 2.26654 | + | 3.92577i | 0.113045 | + | 0.195800i | ||||
\(403\) | 8.14314 | − | 1.27126i | 0.405638 | − | 0.0633258i | ||||
\(404\) | −0.907265 | − | 0.523810i | −0.0451381 | − | 0.0260605i | ||||
\(405\) | −3.59085 | + | 0.962166i | −0.178431 | + | 0.0478104i | ||||
\(406\) | −27.4346 | + | 30.6419i | −1.36156 | + | 1.52073i | ||||
\(407\) | −1.11432 | + | 0.643354i | −0.0552349 | + | 0.0318899i | ||||
\(408\) | 3.13423 | + | 11.6971i | 0.155168 | + | 0.579094i | ||||
\(409\) | −8.35698 | + | 2.23925i | −0.413226 | + | 0.110724i | −0.459442 | − | 0.888208i | \(-0.651951\pi\) |
0.0462157 | + | 0.998931i | \(0.485284\pi\) | |||||||
\(410\) | −49.8333 | + | 13.3528i | −2.46109 | + | 0.659447i | ||||
\(411\) | 4.13276 | + | 15.4237i | 0.203854 | + | 0.760793i | ||||
\(412\) | 5.04424 | − | 2.91229i | 0.248512 | − | 0.143478i | ||||
\(413\) | 1.39862 | + | 4.26372i | 0.0688217 | + | 0.209804i | ||||
\(414\) | −3.07017 | + | 0.822648i | −0.150890 | + | 0.0404310i | ||||
\(415\) | 41.2127 | + | 23.7942i | 2.02305 | + | 1.16801i | ||||
\(416\) | 4.94064 | − | 3.98275i | 0.242235 | − | 0.195271i | ||||
\(417\) | −5.38449 | − | 9.32621i | −0.263679 | − | 0.456706i | ||||
\(418\) | 3.50243 | − | 13.0712i | 0.171309 | − | 0.639335i | ||||
\(419\) | −3.98045 | − | 2.29811i | −0.194457 | − | 0.112270i | 0.399610 | − | 0.916685i | \(-0.369146\pi\) |
−0.594068 | + | 0.804415i | \(0.702479\pi\) | |||||||
\(420\) | 0.633421 | − | 3.02173i | 0.0309078 | − | 0.147446i | ||||
\(421\) | 16.2204 | − | 16.2204i | 0.790532 | − | 0.790532i | −0.191049 | − | 0.981581i | \(-0.561189\pi\) |
0.981581 | + | 0.191049i | \(0.0611888\pi\) | |||||||
\(422\) | −10.2181 | + | 10.2181i | −0.497411 | + | 0.497411i | ||||
\(423\) | 1.16024 | + | 4.33009i | 0.0564130 | + | 0.210536i | ||||
\(424\) | 2.90739 | − | 10.8505i | 0.141195 | − | 0.526948i | ||||
\(425\) | − | 41.6435i | − | 2.02000i | ||||||
\(426\) | 11.4016 | − | 19.7482i | 0.552410 | − | 0.956803i | ||||
\(427\) | 0.984954 | + | 17.8351i | 0.0476653 | + | 0.863101i | ||||
\(428\) | − | 1.67271i | − | 0.0808533i | ||||||
\(429\) | −6.71077 | − | 2.59310i | −0.323999 | − | 0.125196i | ||||
\(430\) | 0.546505 | − | 0.315525i | 0.0263548 | − | 0.0152160i | ||||
\(431\) | −8.20333 | + | 8.20333i | −0.395141 | + | 0.395141i | −0.876515 | − | 0.481374i | \(-0.840138\pi\) |
0.481374 | + | 0.876515i | \(0.340138\pi\) | |||||||
\(432\) | −3.92246 | + | 2.26463i | −0.188719 | + | 0.108957i | ||||
\(433\) | −0.155556 | − | 0.269431i | −0.00747554 | − | 0.0129480i | 0.862263 | − | 0.506460i | \(-0.169046\pi\) |
−0.869739 | + | 0.493512i | \(0.835713\pi\) | |||||||
\(434\) | 4.15349 | − | 8.20863i | 0.199374 | − | 0.394027i | ||||
\(435\) | −36.6963 | − | 9.83275i | −1.75945 | − | 0.471444i | ||||
\(436\) | −2.48237 | − | 2.48237i | −0.118884 | − | 0.118884i | ||||
\(437\) | 8.99851 | + | 2.41114i | 0.430457 | + | 0.115341i | ||||
\(438\) | −7.99494 | + | 13.8476i | −0.382013 | + | 0.661666i | ||||
\(439\) | 10.2875 | + | 17.8185i | 0.490996 | + | 0.850430i | 0.999946 | − | 0.0103658i | \(-0.00329959\pi\) |
−0.508950 | + | 0.860796i | \(0.669966\pi\) | |||||||
\(440\) | 4.92408 | + | 18.3769i | 0.234746 | + | 0.876084i | ||||
\(441\) | −6.95743 | + | 0.770807i | −0.331306 | + | 0.0367051i | ||||
\(442\) | 24.1549 | + | 9.33365i | 1.14893 | + | 0.443956i | ||||
\(443\) | 13.6460 | − | 23.6355i | 0.648340 | − | 1.12296i | −0.335179 | − | 0.942154i | \(-0.608797\pi\) |
0.983519 | − | 0.180804i | \(-0.0578699\pi\) | |||||||
\(444\) | 0.143132 | + | 0.143132i | 0.00679275 | + | 0.00679275i | ||||
\(445\) | 26.6069 | 1.26129 | ||||||||
\(446\) | −26.0879 | −1.23530 | ||||||||
\(447\) | 1.87483 | + | 1.87483i | 0.0886766 | + | 0.0886766i | ||||
\(448\) | 0.930958 | + | 16.8574i | 0.0439836 | + | 0.796436i | ||||
\(449\) | −1.99206 | + | 7.43447i | −0.0940111 | + | 0.350854i | −0.996868 | − | 0.0790877i | \(-0.974799\pi\) |
0.902857 | + | 0.429942i | \(0.141466\pi\) | |||||||
\(450\) | 12.9594 | − | 3.47245i | 0.610910 | − | 0.163693i | ||||
\(451\) | 15.7652 | + | 9.10205i | 0.742355 | + | 0.428599i | ||||
\(452\) | 0.808452i | 0.0380264i | ||||||||
\(453\) | 3.46086 | + | 0.927335i | 0.162606 | + | 0.0435700i | ||||
\(454\) | −9.45734 | −0.443855 | ||||||||
\(455\) | 23.7450 | + | 26.3400i | 1.11318 | + | 1.23484i | ||||
\(456\) | 11.4350 | 0.535494 | ||||||||
\(457\) | −22.7366 | − | 6.09225i | −1.06357 | − | 0.284983i | −0.315723 | − | 0.948852i | \(-0.602247\pi\) |
−0.747850 | + | 0.663868i | \(0.768914\pi\) | |||||||
\(458\) | 7.38294i | 0.344982i | ||||||||
\(459\) | −4.08893 | − | 2.36075i | −0.190855 | − | 0.110190i | ||||
\(460\) | 2.35524 | − | 0.631084i | 0.109814 | − | 0.0294245i | ||||
\(461\) | 8.59300 | − | 32.0695i | 0.400216 | − | 1.49363i | −0.412495 | − | 0.910960i | \(-0.635343\pi\) |
0.812711 | − | 0.582666i | \(-0.197991\pi\) | |||||||
\(462\) | −6.72260 | + | 4.39261i | −0.312764 | + | 0.204363i | ||||
\(463\) | −4.66625 | − | 4.66625i | −0.216859 | − | 0.216859i | 0.590314 | − | 0.807173i | \(-0.299004\pi\) |
−0.807173 | + | 0.590314i | \(0.799004\pi\) | |||||||
\(464\) | −46.2864 | −2.14879 | ||||||||
\(465\) | 8.49772 | 0.394072 | ||||||||
\(466\) | 14.1244 | + | 14.1244i | 0.654301 | + | 0.654301i | ||||
\(467\) | 7.16204 | − | 12.4050i | 0.331420 | − | 0.574036i | −0.651371 | − | 0.758760i | \(-0.725806\pi\) |
0.982790 | + | 0.184724i | \(0.0591391\pi\) | |||||||
\(468\) | −0.120797 | + | 1.12532i | −0.00558386 | + | 0.0520179i | ||||
\(469\) | −5.25924 | + | 5.87408i | −0.242849 | + | 0.271240i | ||||
\(470\) | −6.56108 | − | 24.4863i | −0.302640 | − | 1.12947i | ||||
\(471\) | −4.98798 | − | 8.63943i | −0.229834 | − | 0.398084i | ||||
\(472\) | −2.17499 | + | 3.76719i | −0.100112 | + | 0.173399i | ||||
\(473\) | −0.215080 | − | 0.0576306i | −0.00988941 | − | 0.00264986i | ||||
\(474\) | 0.0588345 | + | 0.0588345i | 0.00270236 | + | 0.00270236i | ||||
\(475\) | −37.9833 | − | 10.1776i | −1.74279 | − | 0.466979i | ||||
\(476\) | 3.28259 | − | 2.14488i | 0.150457 | − | 0.0983102i | ||||
\(477\) | 2.18989 | + | 3.79299i | 0.100268 | + | 0.173669i | ||||
\(478\) | −11.6179 | + | 6.70762i | −0.531392 | + | 0.306799i | ||||
\(479\) | 10.4665 | − | 10.4665i | 0.478227 | − | 0.478227i | −0.426337 | − | 0.904564i | \(-0.640196\pi\) |
0.904564 | + | 0.426337i | \(0.140196\pi\) | |||||||
\(480\) | 5.66651 | − | 3.27156i | 0.258639 | − | 0.149326i | ||||
\(481\) | −2.29723 | + | 0.358629i | −0.104744 | + | 0.0163521i | ||||
\(482\) | − | 13.9098i | − | 0.633572i | ||||||
\(483\) | −3.02396 | − | 4.62798i | −0.137595 | − | 0.210580i | ||||
\(484\) | 1.10157 | − | 1.90797i | 0.0500712 | − | 0.0867259i | ||||
\(485\) | − | 45.9701i | − | 2.08740i | ||||||
\(486\) | 0.393703 | − | 1.46932i | 0.0178587 | − | 0.0666497i | ||||
\(487\) | −8.58118 | − | 32.0254i | −0.388851 | − | 1.45121i | −0.832007 | − | 0.554766i | \(-0.812808\pi\) |
0.443156 | − | 0.896444i | \(-0.353859\pi\) | |||||||
\(488\) | −12.2441 | + | 12.2441i | −0.554266 | + | 0.554266i | ||||
\(489\) | 0.822174 | − | 0.822174i | 0.0371800 | − | 0.0371800i | ||||
\(490\) | 39.3437 | − | 4.35885i | 1.77737 | − | 0.196913i | ||||
\(491\) | −17.1631 | − | 9.90909i | −0.774558 | − | 0.447191i | 0.0599403 | − | 0.998202i | \(-0.480909\pi\) |
−0.834498 | + | 0.551011i | \(0.814242\pi\) | |||||||
\(492\) | 0.741204 | − | 2.76621i | 0.0334161 | − | 0.124710i | ||||
\(493\) | −24.1254 | − | 41.7864i | −1.08655 | − | 1.88197i | ||||
\(494\) | 14.4167 | − | 19.7507i | 0.648637 | − | 0.888625i | ||||
\(495\) | −6.42397 | − | 3.70888i | −0.288736 | − | 0.166702i | ||||
\(496\) | 10.0005 | − | 2.67962i | 0.449034 | − | 0.120318i | ||||
\(497\) | 38.8182 | + | 8.13714i | 1.74123 | + | 0.365000i | ||||
\(498\) | −16.8636 | + | 9.73620i | −0.755676 | + | 0.436290i | ||||
\(499\) | −6.00770 | − | 22.4211i | −0.268942 | − | 1.00370i | −0.959793 | − | 0.280708i | \(-0.909431\pi\) |
0.690852 | − | 0.722997i | \(-0.257236\pi\) | |||||||
\(500\) | −4.30576 | + | 1.15372i | −0.192559 | + | 0.0515961i | ||||
\(501\) | −4.29785 | + | 1.15161i | −0.192014 | + | 0.0514499i | ||||
\(502\) | −5.30759 | − | 19.8082i | −0.236889 | − | 0.884083i | ||||
\(503\) | 24.2350 | − | 13.9921i | 1.08059 | − | 0.623877i | 0.149532 | − | 0.988757i | \(-0.452223\pi\) |
0.931055 | + | 0.364880i | \(0.118890\pi\) | |||||||
\(504\) | −5.05561 | − | 4.52644i | −0.225195 | − | 0.201624i | ||||
\(505\) | 11.9842 | − | 3.21116i | 0.533290 | − | 0.142895i | ||||
\(506\) | −5.49247 | − | 3.17108i | −0.244170 | − | 0.140972i | ||||
\(507\) | −9.62224 | − | 8.74143i | −0.427339 | − | 0.388220i | ||||
\(508\) | −2.89647 | − | 5.01683i | −0.128510 | − | 0.222586i | ||||
\(509\) | −2.81831 | + | 10.5181i | −0.124920 | + | 0.466206i | −0.999837 | − | 0.0180663i | \(-0.994249\pi\) |
0.874917 | + | 0.484273i | \(0.160916\pi\) | |||||||
\(510\) | 23.1226 | + | 13.3498i | 1.02388 | + | 0.591140i | ||||
\(511\) | −27.2197 | − | 5.70585i | −1.20413 | − | 0.252412i | ||||
\(512\) | −10.7916 | + | 10.7916i | −0.476925 | + | 0.476925i | ||||
\(513\) | −3.15258 | + | 3.15258i | −0.139190 | + | 0.139190i | ||||
\(514\) | −3.87820 | − | 14.4736i | −0.171060 | − | 0.638405i | ||||
\(515\) | −17.8535 | + | 66.6302i | −0.786719 | + | 2.93608i | ||||
\(516\) | 0.0350291i | 0.00154207i | ||||||||
\(517\) | −4.47242 | + | 7.74646i | −0.196697 | + | 0.340689i | ||||
\(518\) | −1.17172 | + | 2.31570i | −0.0514826 | + | 0.101746i | ||||
\(519\) | − | 19.6085i | − | 0.860718i | ||||||
\(520\) | −3.66923 | + | 34.1816i | −0.160906 | + | 1.49896i | ||||
\(521\) | −19.3656 | + | 11.1808i | −0.848424 | + | 0.489838i | −0.860119 | − | 0.510094i | \(-0.829611\pi\) |
0.0116948 | + | 0.999932i | \(0.496277\pi\) | |||||||
\(522\) | 10.9921 | − | 10.9921i | 0.481113 | − | 0.481113i | ||||
\(523\) | 15.6632 | − | 9.04313i | 0.684902 | − | 0.395428i | −0.116797 | − | 0.993156i | \(-0.537263\pi\) |
0.801699 | + | 0.597727i | \(0.203929\pi\) | |||||||
\(524\) | 1.04520 | + | 1.81033i | 0.0456596 | + | 0.0790847i | ||||
\(525\) | 12.7643 | + | 19.5350i | 0.557081 | + | 0.852576i | ||||
\(526\) | 14.7491 | + | 3.95201i | 0.643091 | + | 0.172316i | ||||
\(527\) | 7.63156 | + | 7.63156i | 0.332436 | + | 0.332436i | ||||
\(528\) | −8.72953 | − | 2.33907i | −0.379904 | − | 0.101795i | ||||
\(529\) | −9.31696 | + | 16.1374i | −0.405085 | + | 0.701628i | ||||
\(530\) | −12.3836 | − | 21.4490i | −0.537910 | − | 0.931687i | ||||
\(531\) | −0.438963 | − | 1.63823i | −0.0190494 | − | 0.0710932i | ||||
\(532\) | −1.15410 | − | 3.51827i | −0.0500364 | − | 0.152537i | ||||
\(533\) | 20.6444 | + | 25.6095i | 0.894208 | + | 1.10927i | ||||
\(534\) | −5.44357 | + | 9.42854i | −0.235566 | + | 0.408013i | ||||
\(535\) | 14.0077 | + | 14.0077i | 0.605605 | + | 0.605605i | ||||
\(536\) | −7.64324 | −0.330138 | ||||||||
\(537\) | −23.0627 | −0.995230 | ||||||||
\(538\) | 32.5402 | + | 32.5402i | 1.40291 | + | 1.40291i | ||||
\(539\) | −10.9040 | − | 8.72887i | −0.469667 | − | 0.375979i | ||||
\(540\) | −0.302024 | + | 1.12717i | −0.0129970 | + | 0.0485056i | ||||
\(541\) | −10.0627 | + | 2.69630i | −0.432630 | + | 0.115923i | −0.468561 | − | 0.883431i | \(-0.655227\pi\) |
0.0359302 | + | 0.999354i | \(0.488561\pi\) | |||||||
\(542\) | −23.0737 | − | 13.3216i | −0.991100 | − | 0.572212i | ||||
\(543\) | 20.5419i | 0.881536i | ||||||||
\(544\) | 8.02702 | + | 2.15083i | 0.344156 | + | 0.0922162i | ||||
\(545\) | 41.5761 | 1.78092 | ||||||||
\(546\) | −14.1920 | + | 3.02540i | −0.607360 | + | 0.129475i | ||||
\(547\) | 22.4723 | 0.960845 | 0.480422 | − | 0.877037i | \(-0.340483\pi\) | ||||
0.480422 | + | 0.877037i | \(0.340483\pi\) | |||||||
\(548\) | 4.84149 | + | 1.29727i | 0.206818 | + | 0.0554168i | ||||
\(549\) | − | 6.75131i | − | 0.288139i | ||||||
\(550\) | 23.1841 | + | 13.3853i | 0.988572 | + | 0.570752i | ||||
\(551\) | −44.0099 | + | 11.7924i | −1.87488 | + | 0.502374i | ||||
\(552\) | 1.38707 | − | 5.17661i | 0.0590375 | − | 0.220331i | ||||
\(553\) | −0.0653383 | + | 0.129129i | −0.00277847 | + | 0.00549113i | ||||
\(554\) | −19.1871 | − | 19.1871i | −0.815181 | − | 0.815181i | ||||
\(555\) | −2.39726 | −0.101758 | ||||||||
\(556\) | −3.38038 | −0.143360 | ||||||||
\(557\) | 15.2428 | + | 15.2428i | 0.645859 | + | 0.645859i | 0.951990 | − | 0.306131i | \(-0.0990344\pi\) |
−0.306131 | + | 0.951990i | \(0.599034\pi\) | |||||||
\(558\) | −1.73857 | + | 3.01128i | −0.0735993 | + | 0.127478i | ||||
\(559\) | −0.324987 | − | 0.237219i | −0.0137455 | − | 0.0100333i | ||||
\(560\) | 33.1894 | + | 29.7155i | 1.40251 | + | 1.25571i | ||||
\(561\) | −2.43834 | − | 9.10002i | −0.102947 | − | 0.384203i | ||||
\(562\) | −0.168174 | − | 0.291285i | −0.00709397 | − | 0.0122871i | ||||
\(563\) | 1.96849 | − | 3.40952i | 0.0829618 | − | 0.143694i | −0.821559 | − | 0.570123i | \(-0.806895\pi\) |
0.904521 | + | 0.426429i | \(0.140229\pi\) | |||||||
\(564\) | 1.35922 | + | 0.364201i | 0.0572334 | + | 0.0153356i | ||||
\(565\) | −6.77019 | − | 6.77019i | −0.284824 | − | 0.284824i | ||||
\(566\) | 37.7774 | + | 10.1224i | 1.58790 | + | 0.425478i | ||||
\(567\) | 2.64173 | − | 0.145891i | 0.110942 | − | 0.00612684i | ||||
\(568\) | 19.2243 | + | 33.2974i | 0.806633 | + | 1.39713i | ||||
\(569\) | −27.7198 | + | 16.0040i | −1.16207 | + | 0.670924i | −0.951800 | − | 0.306718i | \(-0.900769\pi\) |
−0.210274 | + | 0.977642i | \(0.567436\pi\) | |||||||
\(570\) | 17.8276 | − | 17.8276i | 0.746715 | − | 0.746715i | ||||
\(571\) | 7.22374 | − | 4.17063i | 0.302304 | − | 0.174535i | −0.341173 | − | 0.940000i | \(-0.610824\pi\) |
0.643477 | + | 0.765465i | \(0.277491\pi\) | |||||||
\(572\) | −1.75818 | + | 1.41731i | −0.0735131 | + | 0.0592605i | ||||
\(573\) | 22.9816i | 0.960068i | ||||||||
\(574\) | 36.6615 | − | 2.02465i | 1.53022 | − | 0.0845073i | ||||
\(575\) | −9.21474 | + | 15.9604i | −0.384281 | + | 0.665594i | ||||
\(576\) | − | 6.38120i | − | 0.265883i | ||||||
\(577\) | 6.49388 | − | 24.2355i | 0.270344 | − | 1.00894i | −0.688554 | − | 0.725185i | \(-0.741754\pi\) |
0.958898 | − | 0.283752i | \(-0.0915792\pi\) | |||||||
\(578\) | 2.08368 | + | 7.77638i | 0.0866695 | + | 0.323455i | ||||
\(579\) | 5.51721 | − | 5.51721i | 0.229287 | − | 0.229287i | ||||
\(580\) | −8.43248 | + | 8.43248i | −0.350140 | + | 0.350140i | ||||
\(581\) | −25.2328 | − | 22.5917i | −1.04683 | − | 0.937260i | ||||
\(582\) | 16.2901 | + | 9.40512i | 0.675248 | + | 0.389855i | ||||
\(583\) | −2.26187 | + | 8.44140i | −0.0936769 | + | 0.349607i | ||||
\(584\) | −13.4803 | − | 23.3485i | −0.557818 | − | 0.966169i | ||||
\(585\) | −8.41213 | − | 10.4353i | −0.347799 | − | 0.431447i | ||||
\(586\) | −21.2349 | − | 12.2600i | −0.877207 | − | 0.506456i | ||||
\(587\) | −20.0251 | + | 5.36570i | −0.826524 | + | 0.221466i | −0.647197 | − | 0.762323i | \(-0.724059\pi\) |
−0.179327 | + | 0.983790i | \(0.557392\pi\) | |||||||
\(588\) | −0.882429 | + | 2.01233i | −0.0363908 | + | 0.0829869i | ||||
\(589\) | 8.82593 | − | 5.09565i | 0.363666 | − | 0.209963i | ||||
\(590\) | 2.48230 | + | 9.26405i | 0.102194 | + | 0.381395i | ||||
\(591\) | 9.72938 | − | 2.60698i | 0.400213 | − | 0.107237i | ||||
\(592\) | −2.82119 | + | 0.755936i | −0.115950 | + | 0.0310688i | ||||
\(593\) | −0.0561154 | − | 0.209425i | −0.00230438 | − | 0.00860007i | 0.964764 | − | 0.263117i | \(-0.0847504\pi\) |
−0.967068 | + | 0.254516i | \(0.918084\pi\) | |||||||
\(594\) | 2.62859 | − | 1.51761i | 0.107852 | − | 0.0622685i | ||||
\(595\) | −9.52753 | + | 45.4511i | −0.390591 | + | 1.86331i | ||||
\(596\) | 0.803921 | − | 0.215410i | 0.0329299 | − | 0.00882354i | ||||
\(597\) | 6.66002 | + | 3.84516i | 0.272576 | + | 0.157372i | ||||
\(598\) | −7.19234 | − | 8.92216i | −0.294117 | − | 0.364854i | ||||
\(599\) | 0.450193 | + | 0.779757i | 0.0183944 | + | 0.0318600i | 0.875076 | − | 0.483985i | \(-0.160811\pi\) |
−0.856682 | + | 0.515845i | \(0.827478\pi\) | |||||||
\(600\) | −5.85489 | + | 21.8508i | −0.239025 | + | 0.892054i | ||||
\(601\) | −24.7998 | − | 14.3182i | −1.01161 | − | 0.584051i | −0.0999444 | − | 0.994993i | \(-0.531866\pi\) |
−0.911661 | + | 0.410942i | \(0.865200\pi\) | |||||||
\(602\) | −0.426744 | + | 0.139984i | −0.0173928 | + | 0.00570533i | ||||
\(603\) | 2.10721 | − | 2.10721i | 0.0858121 | − | 0.0858121i | ||||
\(604\) | 0.795275 | − | 0.795275i | 0.0323593 | − | 0.0323593i | ||||
\(605\) | 6.75303 | + | 25.2027i | 0.274550 | + | 1.02463i | ||||
\(606\) | −1.31395 | + | 4.90374i | −0.0533758 | + | 0.199201i | ||||
\(607\) | − | 23.5452i | − | 0.955671i | −0.878449 | − | 0.477835i | \(-0.841422\pi\) | ||
0.878449 | − | 0.477835i | \(-0.158578\pi\) | |||||||
\(608\) | 3.92358 | − | 6.79584i | 0.159122 | − | 0.275608i | ||||
\(609\) | 24.1254 | + | 12.2072i | 0.977611 | + | 0.494663i | ||||
\(610\) | 38.1781i | 1.54578i | ||||||||
\(611\) | −12.5836 | + | 10.1439i | −0.509078 | + | 0.410379i | ||||
\(612\) | −1.28352 | + | 0.741039i | −0.0518831 | + | 0.0299547i | ||||
\(613\) | 20.4541 | − | 20.4541i | 0.826132 | − | 0.826132i | −0.160848 | − | 0.986979i | \(-0.551423\pi\) |
0.986979 | + | 0.160848i | \(0.0514228\pi\) | |||||||
\(614\) | −39.5183 | + | 22.8159i | −1.59483 | + | 0.920775i | ||||
\(615\) | 16.9580 | + | 29.3720i | 0.683811 | + | 1.18439i | ||||
\(616\) | −0.746626 | − | 13.5196i | −0.0300824 | − | 0.544719i | ||||
\(617\) | −17.9700 | − | 4.81504i | −0.723444 | − | 0.193846i | −0.121736 | − | 0.992563i | \(-0.538846\pi\) |
−0.601708 | + | 0.798716i | \(0.705513\pi\) | |||||||
\(618\) | −19.9586 | − | 19.9586i | −0.802854 | − | 0.802854i | ||||
\(619\) | 40.9411 | + | 10.9701i | 1.64556 | + | 0.440927i | 0.958366 | − | 0.285543i | \(-0.0921740\pi\) |
0.687198 | + | 0.726471i | \(0.258841\pi\) | |||||||
\(620\) | 1.33372 | − | 2.31007i | 0.0535634 | − | 0.0927745i | ||||
\(621\) | 1.04476 | + | 1.80957i | 0.0419247 | + | 0.0726157i | ||||
\(622\) | −9.46557 | − | 35.3260i | −0.379535 | − | 1.41644i | ||||
\(623\) | −18.5333 | − | 3.88498i | −0.742521 | − | 0.155648i | ||||
\(624\) | −13.1904 | − | 9.62808i | −0.528037 | − | 0.385432i | ||||
\(625\) | 4.34603 | − | 7.52754i | 0.173841 | − | 0.301102i | ||||
\(626\) | −24.9121 | − | 24.9121i | −0.995688 | − | 0.995688i | ||||
\(627\) | −8.89611 | −0.355277 | ||||||||
\(628\) | −3.13146 | −0.124959 | ||||||||
\(629\) | −2.15291 | − | 2.15291i | −0.0858420 | − | 0.0858420i | ||||
\(630\) | −14.9387 | + | 0.825000i | −0.595173 | + | 0.0328688i | ||||
\(631\) | 0.481180 | − | 1.79579i | 0.0191555 | − | 0.0714893i | −0.955686 | − | 0.294386i | \(-0.904885\pi\) |
0.974842 | + | 0.222897i | \(0.0715514\pi\) | |||||||
\(632\) | −0.135511 | + | 0.0363100i | −0.00539034 | + | 0.00144434i | ||||
\(633\) | 8.22707 | + | 4.74990i | 0.326997 | + | 0.188792i | ||||
\(634\) | − | 31.1168i | − | 1.23580i | ||||||
\(635\) | 66.2681 | + | 17.7565i | 2.62977 | + | 0.704644i | ||||
\(636\) | 1.37481 | 0.0545148 | ||||||||
\(637\) | −12.6937 | − | 21.8144i | −0.502945 | − | 0.864319i | ||||
\(638\) | 31.0182 | 1.22802 | ||||||||
\(639\) | −14.4800 | − | 3.87990i | −0.572819 | − | 0.153486i | ||||
\(640\) | 49.1713i | 1.94367i | ||||||||
\(641\) | 21.5514 | + | 12.4427i | 0.851231 | + | 0.491458i | 0.861066 | − | 0.508493i | \(-0.169797\pi\) |
−0.00983531 | + | 0.999952i | \(0.503131\pi\) | |||||||
\(642\) | −7.82968 | + | 2.09796i | −0.309013 | + | 0.0827997i | ||||
\(643\) | 2.77769 | − | 10.3665i | 0.109541 | − | 0.408814i | −0.889279 | − | 0.457364i | \(-0.848794\pi\) |
0.998821 | + | 0.0485507i | \(0.0154602\pi\) | |||||||
\(644\) | −1.73271 | + | 0.0956898i | −0.0682782 | + | 0.00377071i | ||||
\(645\) | −0.293343 | − | 0.293343i | −0.0115504 | − | 0.0115504i | ||||
\(646\) | 32.0209 | 1.25984 | ||||||||
\(647\) | −13.4344 | −0.528163 | −0.264081 | − | 0.964500i | \(-0.585069\pi\) | ||||
−0.264081 | + | 0.964500i | \(0.585069\pi\) | |||||||
\(648\) | 1.81360 | + | 1.81360i | 0.0712448 | + | 0.0712448i | ||||
\(649\) | 1.69208 | − | 2.93077i | 0.0664199 | − | 0.115043i | ||||
\(650\) | 30.3593 | + | 37.6610i | 1.19079 | + | 1.47718i | ||||
\(651\) | −5.91916 | − | 1.24078i | −0.231990 | − | 0.0486301i | ||||
\(652\) | −0.0944641 | − | 0.352545i | −0.00369950 | − | 0.0138067i | ||||
\(653\) | 10.8493 | + | 18.7915i | 0.424566 | + | 0.735370i | 0.996380 | − | 0.0850136i | \(-0.0270934\pi\) |
−0.571814 | + | 0.820383i | \(0.693760\pi\) | |||||||
\(654\) | −8.50613 | + | 14.7331i | −0.332616 | + | 0.576108i | ||||
\(655\) | −23.9130 | − | 6.40746i | −0.934357 | − | 0.250360i | ||||
\(656\) | 29.2188 | + | 29.2188i | 1.14080 | + | 1.14080i | ||||
\(657\) | 10.1535 | + | 2.72063i | 0.396127 | + | 0.106142i | ||||
\(658\) | 0.994841 | + | 18.0141i | 0.0387829 | + | 0.702264i | ||||
\(659\) | −6.28037 | − | 10.8779i | −0.244648 | − | 0.423744i | 0.717384 | − | 0.696678i | \(-0.245339\pi\) |
−0.962033 | + | 0.272934i | \(0.912006\pi\) | |||||||
\(660\) | −2.01649 | + | 1.16422i | −0.0784916 | + | 0.0453172i | ||||
\(661\) | −3.54671 | + | 3.54671i | −0.137951 | + | 0.137951i | −0.772710 | − | 0.634759i | \(-0.781099\pi\) |
0.634759 | + | 0.772710i | \(0.281099\pi\) | |||||||
\(662\) | 27.6316 | − | 15.9531i | 1.07393 | − | 0.620035i | ||||
\(663\) | 1.81696 | − | 16.9263i | 0.0705649 | − | 0.657365i | ||||
\(664\) | − | 32.8324i | − | 1.27414i | ||||||
\(665\) | 39.1277 | + | 19.7983i | 1.51731 | + | 0.767744i | ||||
\(666\) | 0.490459 | − | 0.849500i | 0.0190049 | − | 0.0329175i | ||||
\(667\) | 21.3536i | 0.826814i | ||||||||
\(668\) | −0.361489 | + | 1.34910i | −0.0139864 | + | 0.0521981i | ||||
\(669\) | 4.43878 | + | 16.5658i | 0.171613 | + | 0.640469i | ||||
\(670\) | −11.9161 | + | 11.9161i | −0.460358 | + | 0.460358i | ||||
\(671\) | 9.52560 | − | 9.52560i | 0.367732 | − | 0.367732i | ||||
\(672\) | −4.42474 | + | 1.45144i | −0.170688 | + | 0.0559906i | ||||
\(673\) | −24.8578 | − | 14.3517i | −0.958198 | − | 0.553216i | −0.0625799 | − | 0.998040i | \(-0.519933\pi\) |
−0.895618 | + | 0.444824i | \(0.853266\pi\) | |||||||
\(674\) | 11.8262 | − | 44.1360i | 0.455528 | − | 1.70005i | ||||
\(675\) | −4.40999 | − | 7.63832i | −0.169740 | − | 0.293999i | ||||
\(676\) | −3.88653 | + | 1.24380i | −0.149482 | + | 0.0478383i | ||||
\(677\) | −24.1896 | − | 13.9659i | −0.929683 | − | 0.536753i | −0.0429716 | − | 0.999076i | \(-0.513682\pi\) |
−0.886711 | + | 0.462324i | \(0.847016\pi\) | |||||||
\(678\) | 3.78424 | − | 1.01398i | 0.145333 | − | 0.0389418i | ||||
\(679\) | −6.71227 | + | 32.0209i | −0.257593 | + | 1.22885i | ||||
\(680\) | −38.9870 | + | 22.5091i | −1.49508 | + | 0.863186i | ||||
\(681\) | 1.60914 | + | 6.00538i | 0.0616623 | + | 0.230127i | ||||
\(682\) | −6.70169 | + | 1.79571i | −0.256621 | + | 0.0687613i | ||||
\(683\) | 34.0427 | − | 9.12171i | 1.30261 | − | 0.349033i | 0.460172 | − | 0.887830i | \(-0.347788\pi\) |
0.842435 | + | 0.538797i | \(0.181121\pi\) | |||||||
\(684\) | 0.362217 | + | 1.35181i | 0.0138497 | + | 0.0516879i | ||||
\(685\) | −51.4077 | + | 29.6802i | −1.96419 | + | 1.13402i | ||||
\(686\) | −28.0416 | − | 2.70852i | −1.07063 | − | 0.103412i | ||||
\(687\) | 4.68814 | − | 1.25618i | 0.178864 | − | 0.0479264i | ||||
\(688\) | −0.437720 | − | 0.252718i | −0.0166879 | − | 0.00963477i | ||||
\(689\) | −9.31029 | + | 12.7550i | −0.354694 | + | 0.485926i | ||||
\(690\) | −5.90802 | − | 10.2330i | −0.224914 | − | 0.389563i | ||||
\(691\) | −2.33123 | + | 8.70025i | −0.0886840 | + | 0.330973i | −0.995986 | − | 0.0895057i | \(-0.971471\pi\) |
0.907302 | + | 0.420479i | \(0.138138\pi\) | |||||||
\(692\) | −5.33048 | − | 3.07756i | −0.202635 | − | 0.116991i | ||||
\(693\) | 3.93312 | + | 3.52144i | 0.149407 | + | 0.133768i | ||||
\(694\) | 2.05443 | − | 2.05443i | 0.0779849 | − | 0.0779849i | ||||
\(695\) | 28.3082 | − | 28.3082i | 1.07379 | − | 1.07379i | ||||
\(696\) | 6.78386 | + | 25.3177i | 0.257142 | + | 0.959666i | ||||
\(697\) | −11.1487 | + | 41.6076i | −0.422288 | + | 1.57600i | ||||
\(698\) | 5.08071i | 0.192308i | ||||||||
\(699\) | 6.56573 | − | 11.3722i | 0.248339 | − | 0.430135i | ||||
\(700\) | 7.31386 | − | 0.403912i | 0.276438 | − | 0.0152664i | ||||
\(701\) | − | 10.4155i | − | 0.393389i | −0.980465 | − | 0.196695i | \(-0.936979\pi\) | ||
0.980465 | − | 0.196695i | \(-0.0630207\pi\) | |||||||
\(702\) | 5.41895 | − | 0.845973i | 0.204525 | − | 0.0319292i | ||||
\(703\) | −2.48985 | + | 1.43751i | −0.0939063 | + | 0.0542168i | ||||
\(704\) | 9.00339 | − | 9.00339i | 0.339328 | − | 0.339328i | ||||
\(705\) | −14.4324 | + | 8.33253i | −0.543554 | + | 0.313821i | ||||
\(706\) | 7.58055 | + | 13.1299i | 0.285298 | + | 0.494150i | ||||
\(707\) | −8.81657 | + | 0.486900i | −0.331581 | + | 0.0183118i | ||||
\(708\) | −0.514241 | − | 0.137790i | −0.0193264 | − | 0.00517848i | ||||
\(709\) | 18.9866 | + | 18.9866i | 0.713058 | + | 0.713058i | 0.967174 | − | 0.254116i | \(-0.0817845\pi\) |
−0.254116 | + | 0.967174i | \(0.581784\pi\) | |||||||
\(710\) | 81.8831 | + | 21.9405i | 3.07302 | + | 0.823412i | ||||
\(711\) | 0.0273492 | − | 0.0473702i | 0.00102568 | − | 0.00177652i | ||||
\(712\) | −9.17840 | − | 15.8975i | −0.343975 | − | 0.595782i | ||||
\(713\) | −1.23621 | − | 4.61358i | −0.0462963 | − | 0.172780i | ||||
\(714\) | −14.1570 | − | 12.6751i | −0.529811 | − | 0.474355i | ||||
\(715\) | 2.85456 | − | 26.5923i | 0.106754 | − | 0.994497i | ||||
\(716\) | −3.61970 | + | 6.26950i | −0.135274 | + | 0.234302i | ||||
\(717\) | 6.23607 | + | 6.23607i | 0.232890 | + | 0.232890i | ||||
\(718\) | −21.0570 | −0.785842 | ||||||||
\(719\) | 36.9778 | 1.37904 | 0.689519 | − | 0.724267i | \(-0.257822\pi\) | ||||
0.689519 | + | 0.724267i | \(0.257822\pi\) | |||||||
\(720\) | −11.9060 | − | 11.9060i | −0.443711 | − | 0.443711i | ||||
\(721\) | 22.1649 | − | 43.8049i | 0.825465 | − | 1.63138i | ||||
\(722\) | 0.345482 | − | 1.28936i | 0.0128575 | − | 0.0479849i | ||||
\(723\) | −8.83265 | + | 2.36670i | −0.328490 | + | 0.0880186i | ||||
\(724\) | 5.58422 | + | 3.22405i | 0.207536 | + | 0.119821i | ||||
\(725\) | − | 90.1348i | − | 3.34752i | ||||||
\(726\) | −10.3125 | − | 2.76323i | −0.382734 | − | 0.102553i | ||||
\(727\) | −32.7889 | −1.21607 | −0.608037 | − | 0.793909i | \(-0.708043\pi\) | ||||
−0.608037 | + | 0.793909i | \(0.708043\pi\) | |||||||
\(728\) | 7.54682 | − | 23.2737i | 0.279704 | − | 0.862582i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −57.4173 | − | 15.3849i | −2.12511 | − | 0.569421i | ||||
\(731\) | − | 0.526887i | − | 0.0194876i | ||||||
\(732\) | −1.83531 | − | 1.05962i | −0.0678351 | − | 0.0391646i | ||||
\(733\) | 11.9130 | − | 3.19209i | 0.440018 | − | 0.117902i | −0.0320071 | − | 0.999488i | \(-0.510190\pi\) |
0.472025 | + | 0.881585i | \(0.343523\pi\) | |||||||
\(734\) | −10.3283 | + | 38.5459i | −0.381226 | + | 1.42275i | ||||
\(735\) | −9.46206 | − | 24.2415i | −0.349013 | − | 0.894160i | ||||
\(736\) | −2.60053 | − | 2.60053i | −0.0958568 | − | 0.0958568i | ||||
\(737\) | 5.94622 | 0.219032 | ||||||||
\(738\) | −13.8778 | −0.510851 | ||||||||
\(739\) | −3.35344 | − | 3.35344i | −0.123358 | − | 0.123358i | 0.642733 | − | 0.766091i | \(-0.277801\pi\) |
−0.766091 | + | 0.642733i | \(0.777801\pi\) | |||||||
\(740\) | −0.376250 | + | 0.651683i | −0.0138312 | + | 0.0239564i | ||||
\(741\) | −14.9946 | − | 5.79403i | −0.550839 | − | 0.212849i | ||||
\(742\) | 5.49405 | + | 16.7487i | 0.201693 | + | 0.614863i | ||||
\(743\) | −6.39444 | − | 23.8644i | −0.234589 | − | 0.875499i | −0.978334 | − | 0.207035i | \(-0.933619\pi\) |
0.743745 | − | 0.668464i | \(-0.233048\pi\) | |||||||
\(744\) | −2.93139 | − | 5.07732i | −0.107470 | − | 0.186144i | ||||
\(745\) | −4.92835 | + | 8.53615i | −0.180561 | + | 0.312740i | ||||
\(746\) | −21.1296 | − | 5.66166i | −0.773609 | − | 0.207288i | ||||
\(747\) | 9.05174 | + | 9.05174i | 0.331186 | + | 0.331186i | ||||
\(748\) | −2.85650 | − | 0.765397i | −0.104444 | − | 0.0279857i | ||||
\(749\) | −7.71185 | − | 11.8025i | −0.281785 | − | 0.431253i | ||||
\(750\) | 10.8008 | + | 18.7075i | 0.394390 | + | 0.683103i | ||||
\(751\) | 15.6847 | − | 9.05557i | 0.572343 | − | 0.330443i | −0.185741 | − | 0.982599i | \(-0.559469\pi\) |
0.758085 | + | 0.652156i | \(0.226135\pi\) | |||||||
\(752\) | −14.3571 | + | 14.3571i | −0.523549 | + | 0.523549i | ||||
\(753\) | −11.6751 | + | 6.74060i | −0.425463 | + | 0.245641i | ||||
\(754\) | 52.2818 | + | 20.2021i | 1.90399 | + | 0.735718i | ||||
\(755\) | 13.3197i | 0.484753i | ||||||||
\(756\) | 0.374959 | − | 0.741039i | 0.0136371 | − | 0.0269513i | ||||
\(757\) | −20.3244 | + | 35.2029i | −0.738704 | + | 1.27947i | 0.214375 | + | 0.976751i | \(0.431229\pi\) |
−0.953079 | + | 0.302722i | \(0.902105\pi\) | |||||||
\(758\) | − | 1.74763i | − | 0.0634768i | ||||||
\(759\) | −1.07910 | + | 4.02725i | −0.0391688 | + | 0.146180i | ||||
\(760\) | 11.0024 | + | 41.0614i | 0.399098 | + | 1.48945i | ||||
\(761\) | −18.2921 | + | 18.2921i | −0.663087 | + | 0.663087i | −0.956107 | − | 0.293019i | \(-0.905340\pi\) |
0.293019 | + | 0.956107i | \(0.405340\pi\) | |||||||
\(762\) | −19.8502 | + | 19.8502i | −0.719096 | + | 0.719096i | ||||
\(763\) | −28.9602 | − | 6.07068i | −1.04843 | − | 0.219773i | ||||
\(764\) | 6.24743 | + | 3.60696i | 0.226024 | + | 0.130495i | ||||
\(765\) | 4.54286 | − | 16.9542i | 0.164247 | − | 0.612980i | ||||
\(766\) | −15.7039 | − | 27.1999i | −0.567404 | − | 0.982773i | ||||
\(767\) | 4.76083 | − | 3.83781i | 0.171904 | − | 0.138575i | ||||
\(768\) | −6.37199 | − | 3.67887i | −0.229929 | − | 0.132750i | ||||
\(769\) | −3.03465 | + | 0.813131i | −0.109432 | + | 0.0293223i | −0.313120 | − | 0.949714i | \(-0.601374\pi\) |
0.203687 | + | 0.979036i | \(0.434707\pi\) | |||||||
\(770\) | −22.2415 | − | 19.9134i | −0.801527 | − | 0.717630i | ||||
\(771\) | −8.53085 | + | 4.92529i | −0.307231 | + | 0.177380i | ||||
\(772\) | −0.633902 | − | 2.36575i | −0.0228146 | − | 0.0851454i | ||||
\(773\) | 41.1448 | − | 11.0247i | 1.47987 | − | 0.396531i | 0.573570 | − | 0.819157i | \(-0.305558\pi\) |
0.906304 | + | 0.422626i | \(0.138892\pi\) | |||||||
\(774\) | 0.163966 | − | 0.0439346i | 0.00589364 | − | 0.00157920i | ||||
\(775\) | 5.21810 | + | 19.4742i | 0.187440 | + | 0.699534i | ||||
\(776\) | −27.4668 | + | 15.8580i | −0.986001 | + | 0.569268i | ||||
\(777\) | 1.66983 | + | 0.350032i | 0.0599047 | + | 0.0125573i | ||||
\(778\) | 43.5273 | − | 11.6631i | 1.56053 | − | 0.418142i | ||||
\(779\) | 35.2259 | + | 20.3377i | 1.26210 | + | 0.728672i | ||||
\(780\) | −4.15708 | + | 0.648977i | −0.148847 | + | 0.0232371i | ||||
\(781\) | −14.9559 | − | 25.9044i | −0.535166 | − | 0.926934i | ||||
\(782\) | 3.88413 | − | 14.4958i | 0.138896 | − | 0.518368i | ||||
\(783\) | −8.85026 | − | 5.10970i | −0.316282 | − | 0.182606i | ||||
\(784\) | −18.7795 | − | 25.5447i | −0.670696 | − | 0.912309i | ||||
\(785\) | 26.2236 | − | 26.2236i | 0.935962 | − | 0.935962i | ||||
\(786\) | 7.16297 | − | 7.16297i | 0.255495 | − | 0.255495i | ||||
\(787\) | −5.08037 | − | 18.9602i | −0.181096 | − | 0.675859i | −0.995433 | − | 0.0954662i | \(-0.969566\pi\) |
0.814337 | − | 0.580392i | \(-0.197101\pi\) | |||||||
\(788\) | 0.818332 | − | 3.05406i | 0.0291519 | − | 0.108796i | ||||
\(789\) | − | 10.0381i | − | 0.357364i | ||||||
\(790\) | −0.154657 | + | 0.267875i | −0.00550247 | + | 0.00953055i | ||||
\(791\) | 3.72729 | + | 5.70437i | 0.132527 | + | 0.202824i | ||||
\(792\) | 5.11770i | 0.181850i | ||||||||
\(793\) | 22.2596 | − | 9.85156i | 0.790461 | − | 0.349839i | ||||
\(794\) | −24.8654 | + | 14.3560i | −0.882440 | + | 0.509477i | ||||
\(795\) | −11.5130 | + | 11.5130i | −0.408325 | + | 0.408325i | ||||
\(796\) | 2.09058 | − | 1.20700i | 0.0740987 | − | 0.0427809i | ||||
\(797\) | −5.96514 | − | 10.3319i | −0.211296 | − | 0.365976i | 0.740824 | − | 0.671699i | \(-0.234435\pi\) |
−0.952120 | + | 0.305723i | \(0.901102\pi\) | |||||||
\(798\) | −15.0210 | + | 9.81487i | −0.531738 | + | 0.347443i | ||||
\(799\) | −20.4445 | − | 5.47809i | −0.723275 | − | 0.193801i | ||||
\(800\) | 10.9770 | + | 10.9770i | 0.388095 | + | 0.388095i | ||||
\(801\) | 6.91330 | + | 1.85241i | 0.244269 | + | 0.0654518i | ||||
\(802\) | 6.87569 | − | 11.9090i | 0.242789 | − | 0.420523i | ||||
\(803\) | 10.4873 | + | 18.1645i | 0.370088 | + | 0.641011i | ||||
\(804\) | −0.242108 | − | 0.903561i | −0.00853851 | − | 0.0318661i | ||||
\(805\) | 13.7088 | − | 15.3115i | 0.483173 | − | 0.539659i | ||||
\(806\) | −12.4654 | − | 1.33810i | −0.439074 | − | 0.0471324i | ||||
\(807\) | 15.1263 | − | 26.1996i | 0.532472 | − | 0.922268i | ||||
\(808\) | −6.05274 | − | 6.05274i | −0.212935 | − | 0.212935i | ||||
\(809\) | −4.89567 | −0.172123 | −0.0860614 | − | 0.996290i | \(-0.527428\pi\) | ||||
−0.0860614 | + | 0.996290i | \(0.527428\pi\) | |||||||
\(810\) | 5.65491 | 0.198693 | ||||||||
\(811\) | 18.6293 | + | 18.6293i | 0.654164 | + | 0.654164i | 0.953993 | − | 0.299829i | \(-0.0969295\pi\) |
−0.299829 | + | 0.953993i | \(0.596930\pi\) | |||||||
\(812\) | 7.10497 | − | 4.64246i | 0.249336 | − | 0.162918i | ||||
\(813\) | −4.53326 | + | 16.9184i | −0.158988 | + | 0.593353i | ||||
\(814\) | 1.89058 | − | 0.506581i | 0.0662649 | − | 0.0177556i | ||||
\(815\) | 3.74337 | + | 2.16124i | 0.131125 | + | 0.0757048i | ||||
\(816\) | − | 21.3849i | − | 0.748622i | ||||||
\(817\) | −0.480577 | − | 0.128770i | −0.0168132 | − | 0.00450510i | ||||
\(818\) | 13.1607 | 0.460152 | ||||||||
\(819\) | 4.33584 | + | 8.49709i | 0.151507 | + | 0.296912i | ||||
\(820\) | 10.6462 | 0.371782 | ||||||||
\(821\) | 11.7259 | + | 3.14195i | 0.409237 | + | 0.109655i | 0.457564 | − | 0.889177i | \(-0.348722\pi\) |
−0.0483266 | + | 0.998832i | \(0.515389\pi\) | |||||||
\(822\) | − | 24.2893i | − | 0.847188i | ||||||
\(823\) | 13.6800 | + | 7.89813i | 0.476854 | + | 0.275312i | 0.719104 | − | 0.694902i | \(-0.244552\pi\) |
−0.242251 | + | 0.970214i | \(0.577886\pi\) | |||||||
\(824\) | 45.9698 | − | 12.3176i | 1.60144 | − | 0.429103i | ||||
\(825\) | 4.55494 | − | 16.9993i | 0.158583 | − | 0.591839i | ||||
\(826\) | −0.376385 | − | 6.81540i | −0.0130961 | − | 0.237138i | ||||
\(827\) | 25.0121 | + | 25.0121i | 0.869756 | + | 0.869756i | 0.992445 | − | 0.122689i | \(-0.0391518\pi\) |
−0.122689 | + | 0.992445i | \(0.539152\pi\) | |||||||
\(828\) | 0.655900 | 0.0227941 | ||||||||
\(829\) | 12.2047 | 0.423885 | 0.211943 | − | 0.977282i | \(-0.432021\pi\) | ||||
0.211943 | + | 0.977282i | \(0.432021\pi\) | |||||||
\(830\) | −51.1868 | − | 51.1868i | −1.77672 | − | 1.77672i | ||||
\(831\) | −8.91911 | + | 15.4484i | −0.309401 | + | 0.535897i | ||||
\(832\) | 21.0393 | − | 9.31149i | 0.729406 | − | 0.322818i | ||||
\(833\) | 13.2730 | − | 30.2682i | 0.459881 | − | 1.04873i | ||||
\(834\) | 4.23978 | + | 15.8231i | 0.146811 | + | 0.547908i | ||||
\(835\) | −8.27049 | − | 14.3249i | −0.286212 | − | 0.495734i | ||||
\(836\) | −1.39625 | + | 2.41837i | −0.0482902 | + | 0.0836411i | ||||
\(837\) | 2.20797 | + | 0.591623i | 0.0763185 | + | 0.0204495i | ||||
\(838\) | 4.94377 | + | 4.94377i | 0.170780 | + | 0.170780i | ||||
\(839\) | −31.9263 | − | 8.55462i | −1.10222 | − | 0.295338i | −0.338550 | − | 0.940948i | \(-0.609936\pi\) |
−0.763667 | + | 0.645610i | \(0.776603\pi\) | |||||||
\(840\) | 11.3894 | − | 22.5091i | 0.392972 | − | 0.776639i | ||||
\(841\) | −37.7180 | − | 65.3295i | −1.30062 | − | 2.25274i | ||||
\(842\) | −30.2189 | + | 17.4469i | −1.04141 | + | 0.601259i | ||||
\(843\) | −0.156351 | + | 0.156351i | −0.00538501 | + | 0.00538501i | ||||
\(844\) | 2.58248 | − | 1.49100i | 0.0888926 | − | 0.0513222i | ||||
\(845\) | 22.1310 | − | 42.9627i | 0.761329 | − | 1.47796i | ||||
\(846\) | − | 6.81908i | − | 0.234445i | ||||||
\(847\) | −1.02395 | − | 18.5412i | −0.0351832 | − | 0.637081i | ||||
\(848\) | −9.91858 | + | 17.1795i | −0.340605 | + | 0.589946i | ||||
\(849\) | − | 25.7108i | − | 0.882394i | ||||||
\(850\) | −16.3951 | + | 61.1875i | −0.562349 | + | 2.09871i | ||||
\(851\) | 0.348741 | + | 1.30152i | 0.0119547 | + | 0.0446155i | ||||
\(852\) | −3.32737 | + | 3.32737i | −0.113994 | + | 0.113994i | ||||
\(853\) | −34.9288 | + | 34.9288i | −1.19594 | + | 1.19594i | −0.220568 | + | 0.975372i | \(0.570791\pi\) |
−0.975372 | + | 0.220568i | \(0.929209\pi\) | |||||||
\(854\) | 5.57452 | − | 26.5932i | 0.190756 | − | 0.910002i | ||||
\(855\) | −14.3537 | − | 8.28714i | −0.490888 | − | 0.283414i | ||||
\(856\) | 3.53736 | − | 13.2016i | 0.120905 | − | 0.451222i | ||||
\(857\) | −15.4917 | − | 26.8324i | −0.529186 | − | 0.916577i | −0.999421 | − | 0.0340353i | \(-0.989164\pi\) |
0.470235 | − | 0.882541i | \(-0.344169\pi\) | |||||||
\(858\) | 8.83935 | + | 6.45213i | 0.301770 | + | 0.220272i | ||||
\(859\) | 3.82146 | + | 2.20632i | 0.130387 | + | 0.0752788i | 0.563775 | − | 0.825929i | \(-0.309349\pi\) |
−0.433388 | + | 0.901207i | \(0.642682\pi\) | |||||||
\(860\) | −0.125784 | + | 0.0337038i | −0.00428921 | + | 0.00114929i | ||||
\(861\) | −7.52348 | − | 22.9354i | −0.256400 | − | 0.781637i | ||||
\(862\) | 15.2830 | − | 8.82364i | 0.520541 | − | 0.300534i | ||||
\(863\) | −3.29472 | − | 12.2961i | −0.112154 | − | 0.418563i | 0.886905 | − | 0.461953i | \(-0.152851\pi\) |
−0.999058 | + | 0.0433897i | \(0.986184\pi\) | |||||||
\(864\) | 1.70010 | − | 0.455541i | 0.0578386 | − | 0.0154978i | ||||
\(865\) | 70.4112 | − | 18.8666i | 2.39405 | − | 0.641484i | ||||
\(866\) | 0.122486 | + | 0.457122i | 0.00416223 | + | 0.0155337i | ||||
\(867\) | 4.58345 | − | 2.64625i | 0.155662 | − | 0.0898715i | ||||
\(868\) | −1.26631 | + | 1.41436i | −0.0429815 | + | 0.0480063i | ||||
\(869\) | 0.105424 | − | 0.0282482i | 0.00357625 | − | 0.000958254i | ||||
\(870\) | 50.0474 | + | 28.8949i | 1.69677 | + | 0.979629i | ||||
\(871\) | 10.0225 | + | 3.87277i | 0.339598 | + | 0.131224i | ||||
\(872\) | −14.3422 | − | 24.8414i | −0.485688 | − | 0.841236i | ||||
\(873\) | 3.20050 | − | 11.9444i | 0.108321 | − | 0.404258i | ||||
\(874\) | −12.2724 | − | 7.08548i | −0.415120 | − | 0.239670i | ||||
\(875\) | −25.0619 | + | 27.9919i | −0.847248 | + | 0.946298i | ||||
\(876\) | 2.33319 | − | 2.33319i | 0.0788311 | − | 0.0788311i | ||||
\(877\) | −18.0242 | + | 18.0242i | −0.608633 | + | 0.608633i | −0.942589 | − | 0.333955i | \(-0.891616\pi\) |
0.333955 | + | 0.942589i | \(0.391616\pi\) | |||||||
\(878\) | −8.10044 | − | 30.2313i | −0.273377 | − | 1.02026i | ||||
\(879\) | −4.17200 | + | 15.5701i | −0.140718 | + | 0.525167i | ||||
\(880\) | − | 33.5970i | − | 1.13256i | ||||||
\(881\) | 11.9538 | − | 20.7046i | 0.402735 | − | 0.697557i | −0.591320 | − | 0.806437i | \(-0.701393\pi\) |
0.994055 | + | 0.108880i | \(0.0347263\pi\) | |||||||
\(882\) | 10.5262 | + | 1.60660i | 0.354434 | + | 0.0540970i | ||||
\(883\) | 43.3376i | 1.45843i | 0.684287 | + | 0.729213i | \(0.260113\pi\) | ||||
−0.684287 | + | 0.729213i | \(0.739887\pi\) | |||||||
\(884\) | −4.31618 | − | 3.15053i | −0.145169 | − | 0.105964i | ||||
\(885\) | 5.46029 | − | 3.15250i | 0.183546 | − | 0.105970i | ||||
\(886\) | −29.3557 | + | 29.3557i | −0.986223 | + | 0.986223i | ||||
\(887\) | −22.4737 | + | 12.9752i | −0.754594 | + | 0.435665i | −0.827351 | − | 0.561685i | \(-0.810153\pi\) |
0.0727576 | + | 0.997350i | \(0.476820\pi\) | |||||||
\(888\) | 0.826963 | + | 1.43234i | 0.0277511 | + | 0.0480663i | ||||
\(889\) | −43.5669 | − | 22.0445i | −1.46119 | − | 0.739348i | ||||
\(890\) | −39.0941 | − | 10.4752i | −1.31044 | − | 0.351131i | ||||
\(891\) | −1.41093 | − | 1.41093i | −0.0472678 | − | 0.0472678i | ||||
\(892\) | 5.20000 | + | 1.39333i | 0.174109 | + | 0.0466523i | ||||
\(893\) | −9.99320 | + | 17.3087i | −0.334410 | + | 0.579214i | ||||
\(894\) | −2.01660 | − | 3.49286i | −0.0674453 | − | 0.116819i | ||||
\(895\) | −22.1902 | − | 82.8148i | −0.741735 | − | 2.76819i | ||||
\(896\) | 7.17969 | − | 34.2507i | 0.239857 | − | 1.14424i | ||||
\(897\) | −4.44179 | + | 6.08519i | −0.148307 | + | 0.203179i | ||||
\(898\) | 5.85394 | − | 10.1393i | 0.195349 | − | 0.338354i | ||||
\(899\) | 16.5181 | + | 16.5181i | 0.550908 | + | 0.550908i | ||||
\(900\) | −2.76859 | −0.0922864 | ||||||||
\(901\) | −20.6791 | −0.688919 | ||||||||
\(902\) | −19.5806 | − | 19.5806i | −0.651963 | − | 0.651963i | ||||
\(903\) | 0.161499 | + | 0.247163i | 0.00537434 | + | 0.00822507i | ||||
\(904\) | −1.70968 | + | 6.38060i | −0.0568630 | + | 0.212216i | ||||
\(905\) | −73.7628 | + | 19.7647i | −2.45196 | + | 0.657000i | ||||
\(906\) | −4.72002 | − | 2.72510i | −0.156812 | − | 0.0905355i | ||||
\(907\) | − | 9.57765i | − | 0.318021i | −0.987277 | − | 0.159010i | \(-0.949170\pi\) | ||
0.987277 | − | 0.159010i | \(-0.0508303\pi\) | |||||||
\(908\) | 1.88509 | + | 0.505109i | 0.0625589 | + | 0.0167626i | ||||
\(909\) | 3.33743 | 0.110695 | ||||||||
\(910\) | −24.5188 | − | 48.0503i | −0.812790 | − | 1.59285i | ||||
\(911\) | 21.2966 | 0.705588 | 0.352794 | − | 0.935701i | \(-0.385232\pi\) | ||||
0.352794 | + | 0.935701i | \(0.385232\pi\) | |||||||
\(912\) | −19.5053 | − | 5.22643i | −0.645885 | − | 0.173064i | ||||
\(913\) | 25.5427i | 0.845339i | ||||||||
\(914\) | 31.0088 | + | 17.9029i | 1.02568 | + | 0.592176i | ||||
\(915\) | 24.2429 | − | 6.49588i | 0.801447 | − | 0.214747i | ||||
\(916\) | 0.394317 | − | 1.47161i | 0.0130286 | − | 0.0486234i | ||||
\(917\) | 15.7212 | + | 7.95479i | 0.519160 | + | 0.262690i | ||||
\(918\) | 5.07852 | + | 5.07852i | 0.167616 | + | 0.167616i | ||||
\(919\) | 6.13994 | 0.202538 | 0.101269 | − | 0.994859i | \(-0.467710\pi\) | ||||
0.101269 | + | 0.994859i | \(0.467710\pi\) | |||||||
\(920\) | 19.9230 | 0.656842 | ||||||||
\(921\) | 21.2119 | + | 21.2119i | 0.698957 | + | 0.698957i | ||||
\(922\) | −25.2517 | + | 43.7373i | −0.831621 | + | 1.44041i | ||||
\(923\) | −8.33698 | − | 53.4032i | −0.274415 | − | 1.75779i | ||||
\(924\) | 1.57459 | − | 0.516511i | 0.0518003 | − | 0.0169920i | ||||
\(925\) | −1.47206 | − | 5.49379i | −0.0484009 | − | 0.180635i | ||||
\(926\) | 5.01909 | + | 8.69332i | 0.164938 | + | 0.285680i | ||||
\(927\) | −9.27777 | + | 16.0696i | −0.304722 | + | 0.527794i | ||||
\(928\) | 17.3740 | + | 4.65535i | 0.570330 | + | 0.152819i | ||||
\(929\) | 18.3867 | + | 18.3867i | 0.603249 | + | 0.603249i | 0.941173 | − | 0.337924i | \(-0.109725\pi\) |
−0.337924 | + | 0.941173i | \(0.609725\pi\) | |||||||
\(930\) | −12.4859 | − | 3.34558i | −0.409427 | − | 0.109706i | ||||
\(931\) | −24.3639 | − | 19.5038i | −0.798494 | − | 0.639212i | ||||
\(932\) | −2.06098 | − | 3.56973i | −0.0675098 | − | 0.116930i | ||||
\(933\) | −20.8214 | + | 12.0212i | −0.681660 | + | 0.393557i | ||||
\(934\) | −15.4072 | + | 15.4072i | −0.504139 | + | 0.504139i | ||||
\(935\) | 30.3307 | − | 17.5115i | 0.991921 | − | 0.572686i | ||||
\(936\) | −3.33315 | + | 8.62598i | −0.108947 | + | 0.281949i | ||||
\(937\) | 13.4306i | 0.438759i | 0.975640 | + | 0.219380i | \(0.0704033\pi\) | ||||
−0.975640 | + | 0.219380i | \(0.929597\pi\) | |||||||
\(938\) | 10.0401 | − | 6.56032i | 0.327822 | − | 0.214202i | ||||
\(939\) | −11.5804 | + | 20.0578i | −0.377912 | + | 0.654562i | ||||
\(940\) | 5.23117i | 0.170622i | ||||||||
\(941\) | −9.81563 | + | 36.6324i | −0.319981 | + | 1.19418i | 0.599282 | + | 0.800538i | \(0.295453\pi\) |
−0.919262 | + | 0.393645i | \(0.871214\pi\) | |||||||
\(942\) | 3.92756 | + | 14.6579i | 0.127967 | + | 0.477579i | ||||
\(943\) | 13.4797 | − | 13.4797i | 0.438960 | − | 0.438960i | ||||
\(944\) | 5.43181 | − | 5.43181i | 0.176790 | − | 0.176790i | ||||
\(945\) | 3.06565 | + | 9.34567i | 0.0997256 | + | 0.304015i | ||||
\(946\) | 0.293332 | + | 0.169356i | 0.00953706 | + | 0.00550622i | ||||
\(947\) | −1.58573 | + | 5.91802i | −0.0515292 | + | 0.192310i | −0.986893 | − | 0.161379i | \(-0.948406\pi\) |
0.935363 | + | 0.353688i | \(0.115073\pi\) | |||||||
\(948\) | −0.00858493 | − | 0.0148695i | −0.000278826 | − | 0.000482940i | ||||
\(949\) | 5.84598 | + | 37.4469i | 0.189769 | + | 1.21558i | ||||
\(950\) | 51.8026 | + | 29.9082i | 1.68070 | + | 0.970351i | ||||
\(951\) | −19.7590 | + | 5.29442i | −0.640731 | + | 0.171683i | ||||
\(952\) | 30.4433 | − | 9.98629i | 0.986674 | − | 0.323657i | ||||
\(953\) | 16.2411 | − | 9.37683i | 0.526102 | − | 0.303745i | −0.213326 | − | 0.976981i | \(-0.568430\pi\) |
0.739428 | + | 0.673236i | \(0.235096\pi\) | |||||||
\(954\) | −1.72433 | − | 6.43528i | −0.0558272 | − | 0.208350i | ||||
\(955\) | −82.5233 | + | 22.1121i | −2.67039 | + | 0.715529i | ||||
\(956\) | 2.67400 | − | 0.716497i | 0.0864834 | − | 0.0231732i | ||||
\(957\) | −5.27765 | − | 19.6965i | −0.170602 | − | 0.636696i | ||||
\(958\) | −19.4994 | + | 11.2580i | −0.629995 | + | 0.363728i | ||||
\(959\) | 40.1421 | − | 13.1678i | 1.29626 | − | 0.425210i | ||||
\(960\) | 22.9139 | − | 6.13977i | 0.739544 | − | 0.198160i | ||||
\(961\) | 22.3217 | + | 12.8874i | 0.720054 | + | 0.415724i | ||||
\(962\) | 3.51655 | + | 0.377484i | 0.113378 | + | 0.0121706i | ||||
\(963\) | 2.66439 | + | 4.61486i | 0.0858588 | + | 0.148712i | ||||
\(964\) | −0.742908 | + | 2.77257i | −0.0239275 | + | 0.0892985i | ||||
\(965\) | 25.1199 | + | 14.5030i | 0.808639 | + | 0.466868i | ||||
\(966\) | 2.62112 | + | 7.99052i | 0.0843332 | + | 0.257091i | ||||
\(967\) | −37.6662 | + | 37.6662i | −1.21126 | + | 1.21126i | −0.240652 | + | 0.970611i | \(0.577361\pi\) |
−0.970611 | + | 0.240652i | \(0.922639\pi\) | |||||||
\(968\) | 12.7289 | − | 12.7289i | 0.409121 | − | 0.409121i | ||||
\(969\) | −5.44825 | − | 20.3331i | −0.175023 | − | 0.653194i | ||||
\(970\) | −18.0986 | + | 67.5448i | −0.581110 | + | 2.16873i | ||||
\(971\) | 26.2439i | 0.842207i | 0.907012 | + | 0.421104i | \(0.138357\pi\) | ||||
−0.907012 | + | 0.421104i | \(0.861643\pi\) | |||||||
\(972\) | −0.156950 | + | 0.271846i | −0.00503418 | + | 0.00871945i | ||||
\(973\) | −23.8517 | + | 15.5849i | −0.764651 | + | 0.499630i | ||||
\(974\) | 50.4340i | 1.61601i | ||||||||
\(975\) | 18.7490 | − | 25.6860i | 0.600450 | − | 0.822609i | ||||
\(976\) | 26.4817 | − | 15.2892i | 0.847660 | − | 0.489397i | ||||
\(977\) | −0.0635239 | + | 0.0635239i | −0.00203231 | + | 0.00203231i | −0.708122 | − | 0.706090i | \(-0.750457\pi\) |
0.706090 | + | 0.708122i | \(0.250457\pi\) | |||||||
\(978\) | −1.53173 | + | 0.884344i | −0.0489793 | + | 0.0282782i | ||||
\(979\) | 7.14054 | + | 12.3678i | 0.228213 | + | 0.395276i | ||||
\(980\) | −8.07500 | − | 1.23248i | −0.257947 | − | 0.0393702i | ||||
\(981\) | 10.8027 | + | 2.89458i | 0.344905 | + | 0.0924169i | ||||
\(982\) | 21.3168 | + | 21.3168i | 0.680245 | + | 0.680245i | ||||
\(983\) | 20.0941 | + | 5.38419i | 0.640902 | + | 0.171729i | 0.564612 | − | 0.825357i | \(-0.309026\pi\) |
0.0762899 | + | 0.997086i | \(0.475693\pi\) | |||||||
\(984\) | 11.6997 | − | 20.2645i | 0.372973 | − | 0.646009i | ||||
\(985\) | 18.7226 | + | 32.4284i | 0.596550 | + | 1.03326i | ||||
\(986\) | 18.9965 | + | 70.8958i | 0.604971 | + | 2.25778i | ||||
\(987\) | 11.2696 | − | 3.69677i | 0.358717 | − | 0.117669i | ||||
\(988\) | −3.92848 | + | 3.16683i | −0.124982 | + | 0.100750i | ||||
\(989\) | −0.116588 | + | 0.201936i | −0.00370728 | + | 0.00642120i | ||||
\(990\) | 7.97866 | + | 7.97866i | 0.253579 | + | 0.253579i | ||||
\(991\) | 20.5308 | 0.652181 | 0.326090 | − | 0.945339i | \(-0.394269\pi\) | ||||
0.326090 | + | 0.945339i | \(0.394269\pi\) | |||||||
\(992\) | −4.02328 | −0.127739 | ||||||||
\(993\) | −14.8316 | − | 14.8316i | −0.470666 | − | 0.470666i | ||||
\(994\) | −53.8327 | − | 27.2389i | −1.70747 | − | 0.863965i | ||||
\(995\) | −7.39937 | + | 27.6148i | −0.234576 | + | 0.875449i | ||||
\(996\) | 3.88135 | − | 1.04000i | 0.122985 | − | 0.0329538i | ||||
\(997\) | 49.2601 | + | 28.4403i | 1.56008 | + | 0.900714i | 0.997247 | + | 0.0741457i | \(0.0236230\pi\) |
0.562836 | + | 0.826569i | \(0.309710\pi\) | |||||||
\(998\) | 35.3089i | 1.11768i | ||||||||
\(999\) | −0.622880 | − | 0.166900i | −0.0197071 | − | 0.00528049i |
(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 | 273.2.cg.b.19.4 | yes | 40 | |
3.2 | odd | 2 | 819.2.gh.d.19.7 | 40 | |||
7.3 | odd | 6 | 273.2.bt.b.136.7 | ✓ | 40 | ||
13.11 | odd | 12 | 273.2.bt.b.271.7 | yes | 40 | ||
21.17 | even | 6 | 819.2.et.d.136.4 | 40 | |||
39.11 | even | 12 | 819.2.et.d.271.4 | 40 | |||
91.24 | even | 12 | inner | 273.2.cg.b.115.4 | yes | 40 | |
273.206 | odd | 12 | 819.2.gh.d.388.7 | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bt.b.136.7 | ✓ | 40 | 7.3 | odd | 6 | ||
273.2.bt.b.271.7 | yes | 40 | 13.11 | odd | 12 | ||
273.2.cg.b.19.4 | yes | 40 | 1.1 | even | 1 | trivial | |
273.2.cg.b.115.4 | yes | 40 | 91.24 | even | 12 | inner | |
819.2.et.d.136.4 | 40 | 21.17 | even | 6 | |||
819.2.et.d.271.4 | 40 | 39.11 | even | 12 | |||
819.2.gh.d.19.7 | 40 | 3.2 | odd | 2 | |||
819.2.gh.d.388.7 | 40 | 273.206 | odd | 12 |