Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(2,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(220))
chi = DirichletCharacter(H, H._module([55, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.w (of order \(220\), degree \(80\), 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(5120\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{220})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{220}]$ |
Embedding invariants
Embedding label | 2.8 | ||
Character | \(\chi\) | \(=\) | 605.2 |
Dual form | 605.2.w.a.303.8 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{110}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.55775 | − | 1.64937i | −1.10150 | − | 1.16628i | −0.984904 | − | 0.173103i | \(-0.944621\pi\) |
−0.116594 | − | 0.993180i | \(-0.537198\pi\) | |||||||
\(3\) | 0.240669 | − | 1.51952i | 0.138950 | − | 0.877296i | −0.815464 | − | 0.578808i | \(-0.803518\pi\) |
0.954414 | − | 0.298487i | \(-0.0964821\pi\) | |||||||
\(4\) | −0.179660 | + | 3.14189i | −0.0898299 | + | 1.57095i | ||||
\(5\) | −1.15878 | − | 1.91239i | −0.518223 | − | 0.855245i | ||||
\(6\) | −2.88116 | + | 1.97009i | −1.17623 | + | 0.804284i | ||||
\(7\) | −2.21948 | − | 3.34750i | −0.838885 | − | 1.26523i | −0.962057 | − | 0.272849i | \(-0.912034\pi\) |
0.123172 | − | 0.992385i | \(-0.460693\pi\) | |||||||
\(8\) | 1.99079 | − | 1.67586i | 0.703850 | − | 0.592506i | ||||
\(9\) | 0.602146 | + | 0.195649i | 0.200715 | + | 0.0652164i | ||||
\(10\) | −1.34914 | + | 4.89029i | −0.426636 | + | 1.54645i | ||||
\(11\) | −2.30886 | + | 2.38100i | −0.696148 | + | 0.717898i | ||||
\(12\) | 4.73093 | + | 1.02915i | 1.36570 | + | 0.297090i | ||||
\(13\) | −2.37862 | + | 4.07498i | −0.659712 | + | 1.13020i | 0.323237 | + | 0.946318i | \(0.395229\pi\) |
−0.982949 | + | 0.183878i | \(0.941135\pi\) | |||||||
\(14\) | −2.06387 | + | 8.87532i | −0.551592 | + | 2.37203i | ||||
\(15\) | −3.18479 | + | 1.30054i | −0.822310 | + | 0.335799i | ||||
\(16\) | 0.387744 | + | 0.0444895i | 0.0969360 | + | 0.0111224i | ||||
\(17\) | 3.13335 | − | 4.44480i | 0.759948 | − | 1.07802i | −0.234430 | − | 0.972133i | \(-0.575322\pi\) |
0.994378 | − | 0.105889i | \(-0.0337687\pi\) | |||||||
\(18\) | −0.615296 | − | 1.29794i | −0.145027 | − | 0.305927i | ||||
\(19\) | −4.24348 | − | 4.36644i | −0.973522 | − | 1.00173i | −0.999998 | − | 0.00208083i | \(-0.999338\pi\) |
0.0264760 | − | 0.999649i | \(-0.491571\pi\) | |||||||
\(20\) | 6.21670 | − | 3.29719i | 1.39010 | − | 0.737274i | ||||
\(21\) | −5.62075 | + | 2.56691i | −1.22655 | + | 0.560146i | ||||
\(22\) | 7.52379 | + | 0.0991658i | 1.60408 | + | 0.0211422i | ||||
\(23\) | 1.32260 | + | 3.54604i | 0.275782 | + | 0.739400i | 0.998819 | + | 0.0485908i | \(0.0154730\pi\) |
−0.723037 | + | 0.690810i | \(0.757254\pi\) | |||||||
\(24\) | −2.06739 | − | 3.42837i | −0.422003 | − | 0.699814i | ||||
\(25\) | −2.31445 | + | 4.43208i | −0.462889 | + | 0.886416i | ||||
\(26\) | 10.4265 | − | 2.42457i | 2.04480 | − | 0.475498i | ||||
\(27\) | 2.53755 | − | 4.98023i | 0.488352 | − | 0.958445i | ||||
\(28\) | 10.9162 | − | 6.37195i | 2.06297 | − | 1.20419i | ||||
\(29\) | 1.17599 | − | 2.22875i | 0.218376 | − | 0.413869i | −0.750696 | − | 0.660648i | \(-0.770281\pi\) |
0.969072 | + | 0.246780i | \(0.0793724\pi\) | |||||||
\(30\) | 7.10620 | + | 3.22699i | 1.29741 | + | 0.589165i | ||||
\(31\) | −7.04383 | + | 5.75971i | −1.26511 | + | 1.03447i | −0.267630 | + | 0.963522i | \(0.586240\pi\) |
−0.997480 | + | 0.0709531i | \(0.977396\pi\) | |||||||
\(32\) | −3.64958 | − | 4.87527i | −0.645161 | − | 0.861834i | ||||
\(33\) | 3.06231 | + | 4.08140i | 0.533080 | + | 0.710480i | ||||
\(34\) | −12.2121 | + | 1.75584i | −2.09436 | + | 0.301123i | ||||
\(35\) | −3.82981 | + | 8.12352i | −0.647356 | + | 1.37313i | ||||
\(36\) | −0.722890 | + | 1.85673i | −0.120482 | + | 0.309455i | ||||
\(37\) | −0.0736391 | + | 0.167538i | −0.0121062 | + | 0.0275430i | −0.921421 | − | 0.388567i | \(-0.872970\pi\) |
0.909314 | + | 0.416110i | \(0.136607\pi\) | |||||||
\(38\) | −0.591592 | + | 13.8009i | −0.0959689 | + | 2.23881i | ||||
\(39\) | 5.61956 | + | 4.59509i | 0.899850 | + | 0.735803i | ||||
\(40\) | −5.51179 | − | 1.86520i | −0.871490 | − | 0.294914i | ||||
\(41\) | 5.18749 | + | 4.00016i | 0.810150 | + | 0.624719i | 0.929787 | − | 0.368098i | \(-0.119991\pi\) |
−0.119636 | + | 0.992818i | \(0.538173\pi\) | |||||||
\(42\) | 12.9895 | + | 5.27210i | 2.00433 | + | 0.813503i | ||||
\(43\) | −2.58967 | + | 0.185217i | −0.394922 | + | 0.0282453i | −0.267388 | − | 0.963589i | \(-0.586161\pi\) |
−0.127533 | + | 0.991834i | \(0.540706\pi\) | |||||||
\(44\) | −7.06603 | − | 7.68196i | −1.06524 | − | 1.15810i | ||||
\(45\) | −0.323600 | − | 1.37825i | −0.0482394 | − | 0.205458i | ||||
\(46\) | 3.78845 | − | 7.70532i | 0.558577 | − | 1.13609i | ||||
\(47\) | −1.05686 | − | 0.501013i | −0.154159 | − | 0.0730802i | 0.349721 | − | 0.936854i | \(-0.386276\pi\) |
−0.503880 | + | 0.863774i | \(0.668095\pi\) | |||||||
\(48\) | 0.160921 | − | 0.578478i | 0.0232269 | − | 0.0834961i | ||||
\(49\) | −3.55474 | + | 8.41153i | −0.507821 | + | 1.20165i | ||||
\(50\) | 10.9155 | − | 3.08670i | 1.54368 | − | 0.436526i | ||||
\(51\) | −5.99987 | − | 5.83091i | −0.840149 | − | 0.816491i | ||||
\(52\) | −12.3758 | − | 8.20549i | −1.71621 | − | 1.13790i | ||||
\(53\) | 6.89742 | − | 8.68538i | 0.947434 | − | 1.19303i | −0.0336474 | − | 0.999434i | \(-0.510712\pi\) |
0.981081 | − | 0.193596i | \(-0.0620149\pi\) | |||||||
\(54\) | −12.1671 | + | 3.57259i | −1.65574 | + | 0.486168i | ||||
\(55\) | 7.22886 | + | 1.65638i | 0.974739 | + | 0.223346i | ||||
\(56\) | −10.0285 | − | 2.94462i | −1.34011 | − | 0.393491i | ||||
\(57\) | −7.65617 | + | 5.39720i | −1.01408 | + | 0.714876i | ||||
\(58\) | −5.50795 | + | 1.53220i | −0.723229 | + | 0.201187i | ||||
\(59\) | 2.48878 | − | 1.91914i | 0.324012 | − | 0.249850i | −0.435727 | − | 0.900079i | \(-0.643509\pi\) |
0.759739 | + | 0.650229i | \(0.225327\pi\) | |||||||
\(60\) | −3.51399 | − | 10.2399i | −0.453654 | − | 1.32197i | ||||
\(61\) | 6.52391 | − | 0.186373i | 0.835301 | − | 0.0238626i | 0.391706 | − | 0.920090i | \(-0.371885\pi\) |
0.443594 | + | 0.896228i | \(0.353703\pi\) | |||||||
\(62\) | 20.4725 | + | 2.64570i | 2.60001 | + | 0.336004i | ||||
\(63\) | −0.681517 | − | 2.44992i | −0.0858631 | − | 0.308661i | ||||
\(64\) | −2.22289 | + | 12.8448i | −0.277861 | + | 1.60561i | ||||
\(65\) | 10.5492 | − | 0.173166i | 1.30847 | − | 0.0214786i | ||||
\(66\) | 1.96142 | − | 11.4087i | 0.241435 | − | 1.40431i | ||||
\(67\) | 0.0206648 | + | 0.0112838i | 0.00252460 | + | 0.00137854i | 0.480511 | − | 0.876989i | \(-0.340451\pi\) |
−0.477986 | + | 0.878367i | \(0.658633\pi\) | |||||||
\(68\) | 13.4021 | + | 10.6432i | 1.62525 | + | 1.29068i | ||||
\(69\) | 5.70659 | − | 1.15631i | 0.686993 | − | 0.139203i | ||||
\(70\) | 19.3646 | − | 6.33765i | 2.31451 | − | 0.757495i | ||||
\(71\) | −3.38233 | + | 1.66298i | −0.401409 | + | 0.197359i | −0.630749 | − | 0.775987i | \(-0.717252\pi\) |
0.229340 | + | 0.973346i | \(0.426343\pi\) | |||||||
\(72\) | 1.52663 | − | 0.619617i | 0.179915 | − | 0.0730226i | ||||
\(73\) | −10.5145 | − | 2.92492i | −1.23063 | − | 0.342336i | −0.409096 | − | 0.912491i | \(-0.634156\pi\) |
−0.821537 | + | 0.570155i | \(0.806883\pi\) | |||||||
\(74\) | 0.391044 | − | 0.139524i | 0.0454579 | − | 0.0162194i | ||||
\(75\) | 6.17763 | + | 4.58351i | 0.713331 | + | 0.529258i | ||||
\(76\) | 14.4813 | − | 12.5481i | 1.66112 | − | 1.43936i | ||||
\(77\) | 13.0949 | + | 2.44432i | 1.49230 | + | 0.278557i | ||||
\(78\) | −1.17487 | − | 16.4268i | −0.133027 | − | 1.85996i | ||||
\(79\) | −3.02409 | + | 1.27799i | −0.340237 | + | 0.143785i | −0.552692 | − | 0.833385i | \(-0.686399\pi\) |
0.212455 | + | 0.977171i | \(0.431854\pi\) | |||||||
\(80\) | −0.364230 | − | 0.793070i | −0.0407222 | − | 0.0886680i | ||||
\(81\) | −5.42020 | − | 3.93801i | −0.602245 | − | 0.437556i | ||||
\(82\) | −1.48308 | − | 14.7874i | −0.163779 | − | 1.63299i | ||||
\(83\) | 5.39626 | + | 0.231317i | 0.592316 | + | 0.0253903i | 0.337060 | − | 0.941483i | \(-0.390567\pi\) |
0.255256 | + | 0.966873i | \(0.417840\pi\) | |||||||
\(84\) | −7.05513 | − | 18.1210i | −0.769778 | − | 1.97716i | ||||
\(85\) | −12.1310 | − | 0.841618i | −1.31580 | − | 0.0912863i | ||||
\(86\) | 4.33956 | + | 3.98281i | 0.467947 | + | 0.429478i | ||||
\(87\) | −3.10361 | − | 2.32333i | −0.332742 | − | 0.249088i | ||||
\(88\) | −0.606235 | + | 8.60940i | −0.0646248 | + | 0.917765i | ||||
\(89\) | 2.33214 | + | 0.335311i | 0.247206 | + | 0.0355429i | 0.264804 | − | 0.964302i | \(-0.414693\pi\) |
−0.0175977 | + | 0.999845i | \(0.505602\pi\) | |||||||
\(90\) | −1.76916 | + | 2.68071i | −0.186486 | + | 0.282572i | ||||
\(91\) | 18.9203 | − | 1.08190i | 1.98339 | − | 0.113414i | ||||
\(92\) | −11.3789 | + | 3.51840i | −1.18633 | + | 0.366818i | ||||
\(93\) | 7.05678 | + | 12.0894i | 0.731754 | + | 1.25362i | ||||
\(94\) | 0.819971 | + | 2.52361i | 0.0845736 | + | 0.260291i | ||||
\(95\) | −3.43305 | + | 13.1749i | −0.352223 | + | 1.35172i | ||||
\(96\) | −8.28642 | + | 4.37229i | −0.845729 | + | 0.446245i | ||||
\(97\) | −1.65298 | + | 6.67483i | −0.167834 | + | 0.677726i | 0.825692 | + | 0.564122i | \(0.190785\pi\) |
−0.993526 | + | 0.113605i | \(0.963760\pi\) | |||||||
\(98\) | 19.4112 | − | 7.23999i | 1.96082 | − | 0.731349i | ||||
\(99\) | −1.85611 | + | 0.981983i | −0.186546 | + | 0.0986930i | ||||
\(100\) | −13.5093 | − | 8.06800i | −1.35093 | − | 0.806800i | ||||
\(101\) | −13.3177 | − | 9.10644i | −1.32517 | − | 0.906125i | −0.325937 | − | 0.945392i | \(-0.605680\pi\) |
−0.999229 | + | 0.0392667i | \(0.987498\pi\) | |||||||
\(102\) | −0.271040 | + | 18.9791i | −0.0268369 | + | 1.87921i | ||||
\(103\) | −15.4440 | + | 7.32132i | −1.52174 | + | 0.721391i | −0.991937 | − | 0.126730i | \(-0.959552\pi\) |
−0.529801 | + | 0.848122i | \(0.677734\pi\) | |||||||
\(104\) | 2.09376 | + | 12.0987i | 0.205310 | + | 1.18637i | ||||
\(105\) | 11.4222 | + | 7.77455i | 1.11469 | + | 0.758719i | ||||
\(106\) | −25.0699 | + | 2.15326i | −2.43501 | + | 0.209143i | ||||
\(107\) | −16.8959 | + | 10.5205i | −1.63338 | + | 1.01705i | −0.672501 | + | 0.740097i | \(0.734780\pi\) |
−0.960883 | + | 0.276955i | \(0.910675\pi\) | |||||||
\(108\) | 15.1914 | + | 8.86746i | 1.46180 | + | 0.853272i | ||||
\(109\) | −1.42118 | + | 0.913334i | −0.136124 | + | 0.0874816i | −0.606930 | − | 0.794755i | \(-0.707599\pi\) |
0.470806 | + | 0.882237i | \(0.343963\pi\) | |||||||
\(110\) | −8.52880 | − | 14.5033i | −0.813189 | − | 1.38284i | ||||
\(111\) | 0.236855 | + | 0.152217i | 0.0224812 | + | 0.0144478i | ||||
\(112\) | −0.711662 | − | 1.39672i | −0.0672457 | − | 0.131977i | ||||
\(113\) | 7.35100 | + | 8.73240i | 0.691524 | + | 0.821475i | 0.991173 | − | 0.132574i | \(-0.0423242\pi\) |
−0.299649 | + | 0.954049i | \(0.596870\pi\) | |||||||
\(114\) | 20.8284 | + | 4.22038i | 1.95076 | + | 0.395275i | ||||
\(115\) | 5.24879 | − | 6.63842i | 0.489452 | − | 0.619036i | ||||
\(116\) | 6.79122 | + | 4.09525i | 0.630549 | + | 0.380235i | ||||
\(117\) | −2.22955 | + | 1.98836i | −0.206122 | + | 0.183824i | ||||
\(118\) | −7.04228 | − | 1.11539i | −0.648294 | − | 0.102680i | ||||
\(119\) | −21.8333 | − | 0.623728i | −2.00146 | − | 0.0571771i | ||||
\(120\) | −4.16073 | + | 7.92638i | −0.379821 | + | 0.723576i | ||||
\(121\) | −0.338315 | − | 10.9948i | −0.0307560 | − | 0.999527i | ||||
\(122\) | −10.4700 | − | 10.4700i | −0.947912 | − | 0.947912i | ||||
\(123\) | 7.32679 | − | 6.91980i | 0.660634 | − | 0.623937i | ||||
\(124\) | −16.8309 | − | 23.1657i | −1.51146 | − | 2.08035i | ||||
\(125\) | 11.1578 | − | 0.709704i | 0.997983 | − | 0.0634779i | ||||
\(126\) | −2.97920 | + | 4.94045i | −0.265408 | + | 0.440130i | ||||
\(127\) | −4.17094 | − | 0.783311i | −0.370111 | − | 0.0695076i | −0.00378203 | − | 0.999993i | \(-0.501204\pi\) |
−0.366329 | + | 0.930485i | \(0.619386\pi\) | |||||||
\(128\) | 14.4973 | − | 9.61210i | 1.28139 | − | 0.849598i | ||||
\(129\) | −0.341812 | + | 3.97964i | −0.0300948 | + | 0.350388i | ||||
\(130\) | −16.7187 | − | 17.1299i | −1.46633 | − | 1.50239i | ||||
\(131\) | 5.10346 | − | 7.94114i | 0.445892 | − | 0.693821i | −0.543449 | − | 0.839442i | \(-0.682882\pi\) |
0.989340 | + | 0.145621i | \(0.0465182\pi\) | |||||||
\(132\) | −13.3735 | + | 8.88818i | −1.16401 | + | 0.773617i | ||||
\(133\) | −5.19832 | + | 23.8963i | −0.450751 | + | 2.07207i | ||||
\(134\) | −0.0135794 | − | 0.0516613i | −0.00117308 | − | 0.00446286i | ||||
\(135\) | −12.4646 | + | 0.918219i | −1.07278 | + | 0.0790277i | ||||
\(136\) | −1.21103 | − | 14.0997i | −0.103845 | − | 1.20904i | ||||
\(137\) | −4.93677 | − | 6.21649i | −0.421777 | − | 0.531111i | 0.525813 | − | 0.850600i | \(-0.323761\pi\) |
−0.947590 | + | 0.319490i | \(0.896489\pi\) | |||||||
\(138\) | −10.7966 | − | 7.61106i | −0.919071 | − | 0.647897i | ||||
\(139\) | 2.21439 | + | 0.790093i | 0.187822 | + | 0.0670148i | 0.428286 | − | 0.903643i | \(-0.359118\pi\) |
−0.240464 | + | 0.970658i | \(0.577299\pi\) | |||||||
\(140\) | −24.8352 | − | 13.4923i | −2.09895 | − | 1.14031i | ||||
\(141\) | −1.01565 | + | 1.48535i | −0.0855334 | + | 0.125089i | ||||
\(142\) | 8.01171 | + | 2.98821i | 0.672328 | + | 0.250765i | ||||
\(143\) | −4.21061 | − | 15.0721i | −0.352109 | − | 1.26039i | ||||
\(144\) | 0.224774 | + | 0.102651i | 0.0187312 | + | 0.00855425i | ||||
\(145\) | −5.62495 | + | 0.333688i | −0.467127 | + | 0.0277113i | ||||
\(146\) | 11.5548 | + | 21.8987i | 0.956278 | + | 1.81235i | ||||
\(147\) | 11.9260 | + | 7.42590i | 0.983639 | + | 0.612478i | ||||
\(148\) | −0.513156 | − | 0.261466i | −0.0421811 | − | 0.0214924i | ||||
\(149\) | 0.0978692 | − | 0.372333i | 0.00801775 | − | 0.0305027i | −0.963018 | − | 0.269438i | \(-0.913162\pi\) |
0.971035 | + | 0.238935i | \(0.0767984\pi\) | |||||||
\(150\) | −2.06330 | − | 17.3292i | −0.168467 | − | 1.41492i | ||||
\(151\) | 0.858635 | + | 15.0158i | 0.0698748 | + | 1.22197i | 0.824519 | + | 0.565835i | \(0.191446\pi\) |
−0.754644 | + | 0.656135i | \(0.772190\pi\) | |||||||
\(152\) | −15.7654 | − | 1.58118i | −1.27875 | − | 0.128251i | ||||
\(153\) | 2.75635 | − | 2.06338i | 0.222838 | − | 0.166814i | ||||
\(154\) | −16.3669 | − | 25.4060i | −1.31889 | − | 2.04727i | ||||
\(155\) | 19.1771 | + | 6.79627i | 1.54034 | + | 0.545890i | ||||
\(156\) | −15.4469 | + | 16.8305i | −1.23674 | + | 1.34752i | ||||
\(157\) | −16.4072 | + | 7.21159i | −1.30944 | + | 0.575547i | −0.935965 | − | 0.352093i | \(-0.885470\pi\) |
−0.373475 | + | 0.927640i | \(0.621834\pi\) | |||||||
\(158\) | 6.81867 | + | 2.99706i | 0.542465 | + | 0.238433i | ||||
\(159\) | −11.5376 | − | 12.5711i | −0.914994 | − | 0.996951i | ||||
\(160\) | −5.09433 | + | 12.6288i | −0.402742 | + | 0.998393i | ||||
\(161\) | 8.93486 | − | 12.2978i | 0.704166 | − | 0.969201i | ||||
\(162\) | 1.94809 | + | 15.0744i | 0.153057 | + | 1.18435i | ||||
\(163\) | 2.24525 | − | 5.53190i | 0.175861 | − | 0.433291i | −0.812975 | − | 0.582299i | \(-0.802153\pi\) |
0.988836 | + | 0.149008i | \(0.0476079\pi\) | |||||||
\(164\) | −13.5000 | + | 15.5799i | −1.05418 | + | 1.21658i | ||||
\(165\) | 4.25666 | − | 10.5858i | 0.331380 | − | 0.824101i | ||||
\(166\) | −8.02451 | − | 9.26077i | −0.622822 | − | 0.718775i | ||||
\(167\) | −3.59340 | + | 1.22456i | −0.278065 | + | 0.0947596i | −0.458100 | − | 0.888901i | \(-0.651470\pi\) |
0.180035 | + | 0.983660i | \(0.442379\pi\) | |||||||
\(168\) | −6.88795 | + | 14.5298i | −0.531417 | + | 1.12100i | ||||
\(169\) | −4.55508 | − | 8.06600i | −0.350391 | − | 0.620461i | ||||
\(170\) | 17.5090 | + | 21.3196i | 1.34288 | + | 1.63514i | ||||
\(171\) | −1.70091 | − | 3.45947i | −0.130072 | − | 0.264552i | ||||
\(172\) | −0.116672 | − | 8.16975i | −0.00889613 | − | 0.622938i | ||||
\(173\) | −5.78516 | + | 8.72538i | −0.439838 | + | 0.663379i | −0.984522 | − | 0.175263i | \(-0.943922\pi\) |
0.544684 | + | 0.838642i | \(0.316650\pi\) | |||||||
\(174\) | 1.00261 | + | 8.73819i | 0.0760080 | + | 0.662441i | ||||
\(175\) | 19.9732 | − | 2.08932i | 1.50983 | − | 0.157938i | ||||
\(176\) | −1.00118 | + | 0.820499i | −0.0754666 | + | 0.0618474i | ||||
\(177\) | −2.31720 | − | 4.24363i | −0.174171 | − | 0.318971i | ||||
\(178\) | −3.07984 | − | 4.36890i | −0.230844 | − | 0.327463i | ||||
\(179\) | −1.37766 | + | 2.43952i | −0.102971 | + | 0.182338i | −0.917446 | − | 0.397861i | \(-0.869753\pi\) |
0.814475 | + | 0.580199i | \(0.197025\pi\) | |||||||
\(180\) | 4.38845 | − | 0.769099i | 0.327096 | − | 0.0573253i | ||||
\(181\) | −0.283082 | − | 9.90918i | −0.0210413 | − | 0.736543i | −0.939800 | − | 0.341724i | \(-0.888989\pi\) |
0.918759 | − | 0.394819i | \(-0.129193\pi\) | |||||||
\(182\) | −31.2576 | − | 29.5213i | −2.31697 | − | 2.18826i | ||||
\(183\) | 1.28690 | − | 9.95807i | 0.0951305 | − | 0.736122i | ||||
\(184\) | 8.57570 | + | 4.84292i | 0.632209 | + | 0.357025i | ||||
\(185\) | 0.405729 | − | 0.0533135i | 0.0298298 | − | 0.00391969i | ||||
\(186\) | 8.94727 | − | 30.4716i | 0.656046 | − | 2.23429i | ||||
\(187\) | 3.34859 | + | 17.7229i | 0.244873 | + | 1.29603i | ||||
\(188\) | 1.76400 | − | 3.23053i | 0.128653 | − | 0.235611i | ||||
\(189\) | −22.3033 | + | 2.55907i | −1.62233 | + | 0.186145i | ||||
\(190\) | 27.0782 | − | 14.8609i | 1.96446 | − | 1.07812i | ||||
\(191\) | −12.2647 | + | 12.6201i | −0.887444 | + | 0.913158i | −0.996726 | − | 0.0808525i | \(-0.974236\pi\) |
0.109282 | + | 0.994011i | \(0.465145\pi\) | |||||||
\(192\) | 18.9830 | + | 6.46907i | 1.36998 | + | 0.466865i | ||||
\(193\) | −9.44045 | − | 23.2596i | −0.679538 | − | 1.67426i | −0.736980 | − | 0.675914i | \(-0.763749\pi\) |
0.0574422 | − | 0.998349i | \(-0.481705\pi\) | |||||||
\(194\) | 13.5842 | − | 7.67136i | 0.975290 | − | 0.550771i | ||||
\(195\) | 2.27574 | − | 16.0715i | 0.162969 | − | 1.15090i | ||||
\(196\) | −25.7895 | − | 12.6798i | −1.84211 | − | 0.905702i | ||||
\(197\) | −25.8004 | − | 1.84528i | −1.83820 | − | 0.131471i | −0.891384 | − | 0.453248i | \(-0.850265\pi\) |
−0.946815 | + | 0.321777i | \(0.895720\pi\) | |||||||
\(198\) | 4.51102 | + | 1.53174i | 0.320584 | + | 0.108856i | ||||
\(199\) | −11.2477 | − | 9.74619i | −0.797329 | − | 0.690889i | 0.157672 | − | 0.987491i | \(-0.449601\pi\) |
−0.955001 | + | 0.296602i | \(0.904146\pi\) | |||||||
\(200\) | 2.81998 | + | 12.7020i | 0.199402 | + | 0.898169i | ||||
\(201\) | 0.0221194 | − | 0.0286849i | 0.00156018 | − | 0.00202328i | ||||
\(202\) | 5.72584 | + | 36.1515i | 0.402869 | + | 2.54361i | ||||
\(203\) | −10.0708 | + | 1.01004i | −0.706833 | + | 0.0708912i | ||||
\(204\) | 19.3980 | − | 17.8033i | 1.35813 | − | 1.24648i | ||||
\(205\) | 1.63867 | − | 14.5558i | 0.114449 | − | 1.01662i | ||||
\(206\) | 36.1335 | + | 14.0680i | 2.51754 | + | 0.980167i | ||||
\(207\) | 0.102622 | + | 2.39400i | 0.00713269 | + | 0.166395i | ||||
\(208\) | −1.10359 | + | 1.47423i | −0.0765203 | + | 0.102219i | ||||
\(209\) | 20.1941 | − | 0.0222223i | 1.39686 | − | 0.00153715i | ||||
\(210\) | −4.96975 | − | 30.9502i | −0.342945 | − | 2.13577i | ||||
\(211\) | −4.88241 | − | 5.97094i | −0.336119 | − | 0.411056i | 0.578301 | − | 0.815824i | \(-0.303716\pi\) |
−0.914420 | + | 0.404767i | \(0.867352\pi\) | |||||||
\(212\) | 26.0493 | + | 23.2314i | 1.78908 | + | 1.59554i | ||||
\(213\) | 1.71291 | + | 5.53975i | 0.117367 | + | 0.379577i | ||||
\(214\) | 43.6717 | + | 11.4793i | 2.98534 | + | 0.784708i | ||||
\(215\) | 3.35508 | + | 4.73783i | 0.228814 | + | 0.323117i | ||||
\(216\) | −3.29443 | − | 14.1672i | −0.224158 | − | 0.963954i | ||||
\(217\) | 34.9143 | + | 10.7956i | 2.37013 | + | 0.732855i | ||||
\(218\) | 3.72027 | + | 0.921300i | 0.251968 | + | 0.0623983i | ||||
\(219\) | −6.97500 | + | 15.2731i | −0.471327 | + | 1.03206i | ||||
\(220\) | −6.50289 | + | 22.4147i | −0.438425 | + | 1.51120i | ||||
\(221\) | 10.6594 | + | 23.3408i | 0.717029 | + | 1.57007i | ||||
\(222\) | −0.117898 | − | 0.627778i | −0.00791279 | − | 0.0421337i | ||||
\(223\) | −11.0305 | − | 0.157525i | −0.738655 | − | 0.0105487i | −0.356058 | − | 0.934464i | \(-0.615879\pi\) |
−0.382597 | + | 0.923915i | \(0.624970\pi\) | |||||||
\(224\) | −8.21977 | + | 23.0375i | −0.549207 | + | 1.53926i | ||||
\(225\) | −2.26077 | + | 2.21594i | −0.150718 | + | 0.147729i | ||||
\(226\) | 2.95195 | − | 25.7275i | 0.196361 | − | 1.71137i | ||||
\(227\) | −17.0760 | − | 14.3747i | −1.13337 | − | 0.954083i | −0.134055 | − | 0.990974i | \(-0.542800\pi\) |
−0.999319 | + | 0.0368911i | \(0.988255\pi\) | |||||||
\(228\) | −15.5819 | − | 25.0245i | −1.03194 | − | 1.65729i | ||||
\(229\) | 22.0809 | − | 5.80404i | 1.45915 | − | 0.383542i | 0.562687 | − | 0.826670i | \(-0.309768\pi\) |
0.896458 | + | 0.443128i | \(0.146131\pi\) | |||||||
\(230\) | −19.1255 | + | 1.68381i | −1.26110 | + | 0.111027i | ||||
\(231\) | 6.86572 | − | 19.3096i | 0.451731 | − | 1.27048i | ||||
\(232\) | −1.39393 | − | 6.40777i | −0.0915157 | − | 0.420691i | ||||
\(233\) | −16.0178 | + | 8.16148i | −1.04936 | + | 0.534676i | −0.891611 | − | 0.452803i | \(-0.850424\pi\) |
−0.157750 | + | 0.987479i | \(0.550424\pi\) | |||||||
\(234\) | 6.75263 | + | 0.579984i | 0.441433 | + | 0.0379147i | ||||
\(235\) | 0.266542 | + | 2.60169i | 0.0173873 | + | 0.169716i | ||||
\(236\) | 5.58259 | + | 8.16427i | 0.363395 | + | 0.531449i | ||||
\(237\) | 1.21413 | + | 4.90274i | 0.0788664 | + | 0.318467i | ||||
\(238\) | 32.9822 | + | 36.9829i | 2.13792 | + | 2.39725i | ||||
\(239\) | −13.5697 | + | 9.85898i | −0.877753 | + | 0.637725i | −0.932656 | − | 0.360767i | \(-0.882515\pi\) |
0.0549033 | + | 0.998492i | \(0.482515\pi\) | |||||||
\(240\) | −1.29275 | + | 0.362588i | −0.0834464 | + | 0.0234050i | ||||
\(241\) | − | 1.08424i | − | 0.0698421i | −0.999390 | − | 0.0349211i | \(-0.988882\pi\) | ||
0.999390 | − | 0.0349211i | \(-0.0111180\pi\) | |||||||
\(242\) | −17.6075 | + | 17.6852i | −1.13185 | + | 1.13685i | ||||
\(243\) | 4.56863 | − | 4.56863i | 0.293078 | − | 0.293078i | ||||
\(244\) | −0.586520 | + | 20.5309i | −0.0375481 | + | 1.31436i | ||||
\(245\) | 20.2053 | − | 2.94909i | 1.29087 | − | 0.188411i | ||||
\(246\) | −22.8266 | − | 1.30527i | −1.45537 | − | 0.0832213i | ||||
\(247\) | 27.8868 | − | 6.90598i | 1.77440 | − | 0.439417i | ||||
\(248\) | −4.37031 | + | 23.2709i | −0.277515 | + | 1.47770i | ||||
\(249\) | 1.65020 | − | 8.14406i | 0.104577 | − | 0.516109i | ||||
\(250\) | −18.5516 | − | 17.2978i | −1.17331 | − | 1.09401i | ||||
\(251\) | −0.903086 | + | 2.77941i | −0.0570023 | + | 0.175435i | −0.975504 | − | 0.219982i | \(-0.929400\pi\) |
0.918502 | + | 0.395417i | \(0.129400\pi\) | |||||||
\(252\) | 7.81983 | − | 1.70110i | 0.492603 | − | 0.107159i | ||||
\(253\) | −11.4968 | − | 5.03820i | −0.722800 | − | 0.316749i | ||||
\(254\) | 5.20533 | + | 8.09965i | 0.326611 | + | 0.508217i | ||||
\(255\) | −4.19842 | + | 18.2308i | −0.262915 | + | 1.14166i | ||||
\(256\) | −13.0432 | − | 3.03306i | −0.815198 | − | 0.189566i | ||||
\(257\) | 14.0402 | − | 16.6786i | 0.875804 | − | 1.04039i | −0.123044 | − | 0.992401i | \(-0.539266\pi\) |
0.998848 | − | 0.0479841i | \(-0.0152797\pi\) | |||||||
\(258\) | 7.09637 | − | 5.63552i | 0.441801 | − | 0.350852i | ||||
\(259\) | 0.724273 | − | 0.125340i | 0.0450041 | − | 0.00778827i | ||||
\(260\) | −1.35121 | + | 33.1757i | −0.0837983 | + | 2.05747i | ||||
\(261\) | 1.14417 | − | 1.11195i | 0.0708225 | − | 0.0688281i | ||||
\(262\) | −21.0478 | + | 3.95282i | −1.30034 | + | 0.244206i | ||||
\(263\) | 5.99798 | − | 16.0812i | 0.369852 | − | 0.991611i | −0.610091 | − | 0.792331i | \(-0.708867\pi\) |
0.979943 | − | 0.199279i | \(-0.0638601\pi\) | |||||||
\(264\) | 12.9363 | + | 2.99320i | 0.796172 | + | 0.184219i | ||||
\(265\) | −24.6024 | − | 3.12607i | −1.51132 | − | 0.192033i | ||||
\(266\) | 47.5115 | − | 28.6505i | 2.91312 | − | 1.75668i | ||||
\(267\) | 1.07078 | − | 3.46304i | 0.0655310 | − | 0.211934i | ||||
\(268\) | −0.0391651 | + | 0.0628992i | −0.00239239 | + | 0.00384218i | ||||
\(269\) | 9.72175 | − | 3.15879i | 0.592746 | − | 0.192595i | 0.00274336 | − | 0.999996i | \(-0.499127\pi\) |
0.590002 | + | 0.807401i | \(0.299127\pi\) | |||||||
\(270\) | 20.9312 | + | 19.1284i | 1.27383 | + | 1.16412i | ||||
\(271\) | 14.5908 | + | 7.69877i | 0.886327 | + | 0.467667i | 0.847020 | − | 0.531561i | \(-0.178394\pi\) |
0.0393066 | + | 0.999227i | \(0.487485\pi\) | |||||||
\(272\) | 1.41268 | − | 1.58404i | 0.0856566 | − | 0.0960467i | ||||
\(273\) | 2.90955 | − | 29.0102i | 0.176094 | − | 1.75577i | ||||
\(274\) | −2.56304 | + | 17.8263i | −0.154839 | + | 1.07693i | ||||
\(275\) | −5.20905 | − | 15.7438i | −0.314117 | − | 0.949384i | ||||
\(276\) | 2.60774 | + | 18.1372i | 0.156968 | + | 1.09173i | ||||
\(277\) | −5.41832 | + | 0.232262i | −0.325555 | + | 0.0139553i | −0.205032 | − | 0.978755i | \(-0.565730\pi\) |
−0.120523 | + | 0.992711i | \(0.538457\pi\) | |||||||
\(278\) | −2.14632 | − | 4.88313i | −0.128727 | − | 0.292871i | ||||
\(279\) | −5.36830 | + | 2.09007i | −0.321392 | + | 0.125129i | ||||
\(280\) | 5.98955 | + | 22.5905i | 0.357944 | + | 1.35004i | ||||
\(281\) | −12.2479 | + | 14.9786i | −0.730649 | + | 0.893546i | −0.997534 | − | 0.0701821i | \(-0.977642\pi\) |
0.266885 | + | 0.963728i | \(0.414006\pi\) | |||||||
\(282\) | 4.03202 | − | 0.638610i | 0.240104 | − | 0.0380287i | ||||
\(283\) | 29.2675 | − | 3.78230i | 1.73978 | − | 0.224835i | 0.808333 | − | 0.588725i | \(-0.200370\pi\) |
0.931442 | + | 0.363890i | \(0.118552\pi\) | |||||||
\(284\) | −4.61723 | − | 10.9257i | −0.273982 | − | 0.648320i | ||||
\(285\) | 19.1934 | + | 8.38738i | 1.13692 | + | 0.496826i | ||||
\(286\) | −18.3004 | + | 30.4234i | −1.08212 | + | 1.79897i | ||||
\(287\) | 1.87696 | − | 26.2434i | 0.110794 | − | 1.54910i | ||||
\(288\) | −1.24374 | − | 3.64966i | −0.0732880 | − | 0.215058i | ||||
\(289\) | −4.22551 | − | 11.8428i | −0.248560 | − | 0.696637i | ||||
\(290\) | 9.31266 | + | 8.75784i | 0.546858 | + | 0.514278i | ||||
\(291\) | 9.74473 | + | 4.11816i | 0.571246 | + | 0.241411i | ||||
\(292\) | 11.0788 | − | 32.5100i | 0.648339 | − | 1.90251i | ||||
\(293\) | 18.9300 | − | 0.270338i | 1.10590 | − | 0.0157933i | 0.541055 | − | 0.840987i | \(-0.318025\pi\) |
0.564849 | + | 0.825194i | \(0.308934\pi\) | |||||||
\(294\) | −6.32966 | − | 31.2381i | −0.369153 | − | 1.82184i | ||||
\(295\) | −6.55409 | − | 2.53565i | −0.381594 | − | 0.147631i | ||||
\(296\) | 0.134170 | + | 0.456941i | 0.00779848 | + | 0.0265592i | ||||
\(297\) | 5.99906 | + | 17.5406i | 0.348101 | + | 1.01781i | ||||
\(298\) | −0.766572 | + | 0.418580i | −0.0444063 | + | 0.0242477i | ||||
\(299\) | −17.5960 | − | 3.04511i | −1.01760 | − | 0.176103i | ||||
\(300\) | −15.5108 | + | 18.5860i | −0.895515 | + | 1.07306i | ||||
\(301\) | 6.36774 | + | 8.25783i | 0.367031 | + | 0.475974i | ||||
\(302\) | 23.4291 | − | 24.8071i | 1.34820 | − | 1.42749i | ||||
\(303\) | −17.0426 | + | 18.0450i | −0.979072 | + | 1.03666i | ||||
\(304\) | −1.45113 | − | 1.88185i | −0.0832277 | − | 0.107932i | ||||
\(305\) | −7.91621 | − | 12.2603i | −0.453281 | − | 0.702021i | ||||
\(306\) | −7.69700 | − | 1.33202i | −0.440008 | − | 0.0761464i | ||||
\(307\) | 21.9204 | − | 11.9694i | 1.25106 | − | 0.683132i | 0.289358 | − | 0.957221i | \(-0.406558\pi\) |
0.961704 | + | 0.274089i | \(0.0883764\pi\) | |||||||
\(308\) | −10.0324 | + | 40.7035i | −0.571650 | + | 2.31930i | ||||
\(309\) | 7.40803 | + | 25.2294i | 0.421428 | + | 1.43525i | ||||
\(310\) | −18.6635 | − | 42.2170i | −1.06002 | − | 2.39777i | ||||
\(311\) | −2.53906 | − | 12.5308i | −0.143977 | − | 0.710555i | −0.985411 | − | 0.170194i | \(-0.945561\pi\) |
0.841433 | − | 0.540361i | \(-0.181712\pi\) | |||||||
\(312\) | 18.8881 | − | 0.269740i | 1.06933 | − | 0.0152710i | ||||
\(313\) | 5.03970 | − | 14.7886i | 0.284861 | − | 0.835904i | −0.706844 | − | 0.707369i | \(-0.749882\pi\) |
0.991705 | − | 0.128535i | \(-0.0410273\pi\) | |||||||
\(314\) | 37.4530 | + | 15.8278i | 2.11360 | + | 0.893213i | ||||
\(315\) | −3.89547 | + | 4.14225i | −0.219485 | + | 0.233389i | ||||
\(316\) | −3.47200 | − | 9.73097i | −0.195316 | − | 0.547410i | ||||
\(317\) | −6.02705 | − | 17.6860i | −0.338513 | − | 0.993342i | −0.975029 | − | 0.222079i | \(-0.928716\pi\) |
0.636516 | − | 0.771264i | \(-0.280375\pi\) | |||||||
\(318\) | −2.76162 | + | 38.6125i | −0.154864 | + | 2.16528i | ||||
\(319\) | 2.59145 | + | 7.94591i | 0.145094 | + | 0.444886i | ||||
\(320\) | 27.1401 | − | 10.6334i | 1.51718 | − | 0.594423i | ||||
\(321\) | 11.9198 | + | 28.2055i | 0.665296 | + | 1.57428i | ||||
\(322\) | −34.2019 | + | 4.41998i | −1.90600 | + | 0.246316i | ||||
\(323\) | −32.7043 | + | 5.17984i | −1.81971 | + | 0.288214i | ||||
\(324\) | 13.3466 | − | 16.3222i | 0.741477 | − | 0.906788i | ||||
\(325\) | −12.5554 | − | 19.9736i | −0.696451 | − | 1.10793i | ||||
\(326\) | −12.6217 | + | 4.91407i | −0.699051 | + | 0.272165i | ||||
\(327\) | 1.04580 | + | 2.37932i | 0.0578328 | + | 0.131577i | ||||
\(328\) | 17.0309 | − | 0.730049i | 0.940375 | − | 0.0403102i | ||||
\(329\) | 0.668544 | + | 4.64983i | 0.0368580 | + | 0.256353i | ||||
\(330\) | −24.0907 | + | 9.46920i | −1.32615 | + | 0.521262i | ||||
\(331\) | −0.268005 | + | 1.86402i | −0.0147309 | + | 0.102456i | −0.995860 | − | 0.0908963i | \(-0.971027\pi\) |
0.981129 | + | 0.193352i | \(0.0619359\pi\) | |||||||
\(332\) | −1.69626 | + | 16.9129i | −0.0930945 | + | 0.928216i | ||||
\(333\) | −0.0771201 | + | 0.0864748i | −0.00422616 | + | 0.00473879i | ||||
\(334\) | 7.61739 | + | 4.01928i | 0.416805 | + | 0.219925i | ||||
\(335\) | −0.00236695 | − | 0.0525945i | −0.000129320 | − | 0.00287354i | ||||
\(336\) | −2.29361 | + | 0.745240i | −0.125127 | + | 0.0406562i | ||||
\(337\) | −10.9273 | + | 17.5492i | −0.595247 | + | 0.955965i | 0.403906 | + | 0.914801i | \(0.367652\pi\) |
−0.999152 | + | 0.0411649i | \(0.986893\pi\) | |||||||
\(338\) | −6.20815 | + | 20.0779i | −0.337679 | + | 1.09209i | ||||
\(339\) | 15.0382 | − | 9.06838i | 0.816764 | − | 0.492527i | ||||
\(340\) | 4.82373 | − | 37.9632i | 0.261604 | − | 2.05884i | ||||
\(341\) | 2.54936 | − | 30.0697i | 0.138056 | − | 1.62837i | ||||
\(342\) | −3.05636 | + | 8.19443i | −0.165269 | + | 0.443104i | ||||
\(343\) | 8.41521 | − | 1.58039i | 0.454379 | − | 0.0853332i | ||||
\(344\) | −4.84510 | + | 4.70866i | −0.261230 | + | 0.253874i | ||||
\(345\) | −8.82400 | − | 9.57330i | −0.475068 | − | 0.515409i | ||||
\(346\) | 23.4033 | − | 4.05009i | 1.25817 | − | 0.217734i | ||||
\(347\) | 5.50792 | − | 4.37407i | 0.295680 | − | 0.234812i | −0.462870 | − | 0.886426i | \(-0.653180\pi\) |
0.758551 | + | 0.651614i | \(0.225908\pi\) | |||||||
\(348\) | 7.85726 | − | 9.33380i | 0.421193 | − | 0.500344i | ||||
\(349\) | 21.0552 | + | 4.89617i | 1.12706 | + | 0.262086i | 0.748268 | − | 0.663397i | \(-0.230886\pi\) |
0.378790 | + | 0.925483i | \(0.376340\pi\) | |||||||
\(350\) | −34.5594 | − | 29.6887i | −1.84728 | − | 1.58693i | ||||
\(351\) | 14.2584 | + | 22.1866i | 0.761059 | + | 1.18423i | ||||
\(352\) | 20.0344 | + | 2.56667i | 1.06784 | + | 0.136804i | ||||
\(353\) | 12.4063 | − | 2.69883i | 0.660322 | − | 0.143644i | 0.130097 | − | 0.991501i | \(-0.458471\pi\) |
0.530225 | + | 0.847857i | \(0.322108\pi\) | |||||||
\(354\) | −3.38971 | + | 10.4325i | −0.180161 | + | 0.554479i | ||||
\(355\) | 7.09965 | + | 4.54129i | 0.376810 | + | 0.241027i | ||||
\(356\) | −1.47250 | + | 7.26709i | −0.0780425 | + | 0.385155i | ||||
\(357\) | −6.20237 | + | 33.0261i | −0.328264 | + | 1.74793i | ||||
\(358\) | 6.16972 | − | 1.52789i | 0.326080 | − | 0.0807516i | ||||
\(359\) | 15.4633 | + | 0.884222i | 0.816120 | + | 0.0466674i | 0.460162 | − | 0.887835i | \(-0.347791\pi\) |
0.355957 | + | 0.934502i | \(0.384155\pi\) | |||||||
\(360\) | −2.95398 | − | 2.20150i | −0.155688 | − | 0.116029i | ||||
\(361\) | −0.516092 | + | 18.0656i | −0.0271628 | + | 0.950820i | ||||
\(362\) | −15.9030 | + | 15.9030i | −0.835841 | + | 0.835841i | ||||
\(363\) | −16.7882 | − | 2.13202i | −0.881154 | − | 0.111902i | ||||
\(364\) | 59.6399i | 3.12598i | ||||||||
\(365\) | 6.59047 | + | 23.4972i | 0.344961 | + | 1.22990i | ||||
\(366\) | −18.4292 | + | 13.3896i | −0.963312 | + | 0.699887i | ||||
\(367\) | −4.52482 | − | 5.07368i | −0.236194 | − | 0.264844i | 0.616383 | − | 0.787447i | \(-0.288597\pi\) |
−0.852576 | + | 0.522603i | \(0.824961\pi\) | |||||||
\(368\) | 0.355071 | + | 1.43380i | 0.0185093 | + | 0.0747419i | ||||
\(369\) | 2.34100 | + | 3.42361i | 0.121868 | + | 0.178226i | ||||
\(370\) | −0.719959 | − | 0.586149i | −0.0374289 | − | 0.0304724i | ||||
\(371\) | −44.3830 | − | 3.81206i | −2.30425 | − | 0.197912i | ||||
\(372\) | −39.2515 | + | 19.9996i | −2.03510 | + | 1.03693i | ||||
\(373\) | 7.19614 | + | 33.0801i | 0.372602 | + | 1.71282i | 0.656805 | + | 0.754061i | \(0.271908\pi\) |
−0.284203 | + | 0.958764i | \(0.591729\pi\) | |||||||
\(374\) | 24.0154 | − | 33.1310i | 1.24181 | − | 1.71316i | ||||
\(375\) | 1.60692 | − | 17.1253i | 0.0829809 | − | 0.884347i | ||||
\(376\) | −2.94362 | + | 0.773741i | −0.151805 | + | 0.0399027i | ||||
\(377\) | 6.28488 | + | 10.0935i | 0.323688 | + | 0.519842i | ||||
\(378\) | 38.9639 | + | 32.8001i | 2.00409 | + | 1.68706i | ||||
\(379\) | 0.875257 | − | 7.62822i | 0.0449589 | − | 0.391835i | −0.951493 | − | 0.307671i | \(-0.900451\pi\) |
0.996452 | − | 0.0841648i | \(-0.0268222\pi\) | |||||||
\(380\) | −40.7774 | − | 13.1533i | −2.09184 | − | 0.674749i | ||||
\(381\) | −2.19407 | + | 6.14932i | −0.112406 | + | 0.315039i | ||||
\(382\) | 39.9206 | + | 0.570104i | 2.04252 | + | 0.0291691i | ||||
\(383\) | −0.342205 | − | 1.82216i | −0.0174858 | − | 0.0931079i | 0.972972 | − | 0.230922i | \(-0.0741742\pi\) |
−0.990458 | + | 0.137814i | \(0.955992\pi\) | |||||||
\(384\) | −11.1168 | − | 24.3423i | −0.567299 | − | 1.24221i | ||||
\(385\) | −10.4996 | − | 27.8749i | −0.535109 | − | 1.42063i | ||||
\(386\) | −23.6579 | + | 51.8035i | −1.20415 | + | 2.63673i | ||||
\(387\) | −1.59560 | − | 0.395140i | −0.0811089 | − | 0.0200861i | ||||
\(388\) | −20.6746 | − | 6.39268i | −1.04959 | − | 0.324539i | ||||
\(389\) | −2.74255 | − | 11.7939i | −0.139053 | − | 0.597974i | −0.996514 | − | 0.0834250i | \(-0.973414\pi\) |
0.857461 | − | 0.514549i | \(-0.172040\pi\) | |||||||
\(390\) | −30.0529 | + | 21.2818i | −1.52179 | + | 1.07765i | ||||
\(391\) | 19.9056 | + | 5.23227i | 1.00667 | + | 0.264607i | ||||
\(392\) | 7.01981 | + | 22.7029i | 0.354554 | + | 1.14667i | ||||
\(393\) | −10.8385 | − | 9.66600i | −0.546730 | − | 0.487585i | ||||
\(394\) | 37.1470 | + | 45.4289i | 1.87144 | + | 2.28868i | ||||
\(395\) | 5.94828 | + | 4.30232i | 0.299290 | + | 0.216473i | ||||
\(396\) | −2.75181 | − | 6.00813i | −0.138284 | − | 0.301920i | ||||
\(397\) | −11.4628 | + | 15.3125i | −0.575300 | + | 0.768510i | −0.989942 | − | 0.141474i | \(-0.954816\pi\) |
0.414642 | + | 0.909985i | \(0.363907\pi\) | |||||||
\(398\) | 1.44604 | + | 33.7338i | 0.0724833 | + | 1.69092i | ||||
\(399\) | 35.0598 | + | 13.6500i | 1.75519 | + | 0.683356i | ||||
\(400\) | −1.09459 | + | 1.61555i | −0.0547297 | + | 0.0807773i | ||||
\(401\) | 17.8507 | − | 16.3832i | 0.891420 | − | 0.818138i | −0.0926905 | − | 0.995695i | \(-0.529547\pi\) |
0.984111 | + | 0.177557i | \(0.0568194\pi\) | |||||||
\(402\) | −0.0817685 | + | 0.00820090i | −0.00407824 | + | 0.000409024i | ||||
\(403\) | −6.71608 | − | 42.4037i | −0.334552 | − | 2.11228i | ||||
\(404\) | 31.0041 | − | 40.2069i | 1.54251 | − | 2.00037i | ||||
\(405\) | −1.25016 | + | 14.9288i | −0.0621208 | + | 0.741819i | ||||
\(406\) | 17.3538 | + | 15.0371i | 0.861254 | + | 0.746281i | ||||
\(407\) | −0.228885 | − | 0.562156i | −0.0113454 | − | 0.0278651i | ||||
\(408\) | −21.7163 | − | 1.55318i | −1.07512 | − | 0.0768938i | ||||
\(409\) | −4.77483 | − | 2.34763i | −0.236100 | − | 0.116083i | 0.319337 | − | 0.947641i | \(-0.396540\pi\) |
−0.555437 | + | 0.831559i | \(0.687449\pi\) | |||||||
\(410\) | −26.5606 | + | 19.9716i | −1.31173 | + | 0.986326i | ||||
\(411\) | −10.6342 | + | 6.00542i | −0.524547 | + | 0.296225i | ||||
\(412\) | −20.2281 | − | 49.8386i | −0.996569 | − | 2.45537i | ||||
\(413\) | −11.9481 | − | 4.07170i | −0.587928 | − | 0.200355i | ||||
\(414\) | 3.78874 | − | 3.89852i | 0.186206 | − | 0.191602i | ||||
\(415\) | −5.81072 | − | 10.5878i | −0.285237 | − | 0.519733i | ||||
\(416\) | 28.5476 | − | 3.27553i | 1.39966 | − | 0.160596i | ||||
\(417\) | 1.73350 | − | 3.17466i | 0.0848898 | − | 0.155464i | ||||
\(418\) | −31.4941 | − | 33.2730i | −1.54043 | − | 1.62744i | ||||
\(419\) | 4.97974 | − | 16.9594i | 0.243276 | − | 0.828523i | −0.743818 | − | 0.668382i | \(-0.766987\pi\) |
0.987094 | − | 0.160141i | \(-0.0511948\pi\) | |||||||
\(420\) | −26.4789 | + | 34.4904i | −1.29204 | + | 1.68296i | ||||
\(421\) | 19.1453 | + | 10.8118i | 0.933085 | + | 0.526937i | 0.881736 | − | 0.471744i | \(-0.156375\pi\) |
0.0513490 | + | 0.998681i | \(0.483648\pi\) | |||||||
\(422\) | −2.24271 | + | 17.3542i | −0.109174 | + | 0.844788i | ||||
\(423\) | −0.538362 | − | 0.508457i | −0.0261761 | − | 0.0247220i | ||||
\(424\) | −0.824175 | − | 28.8499i | −0.0400255 | − | 1.40107i | ||||
\(425\) | 12.4477 | + | 24.1745i | 0.603804 | + | 1.17263i | ||||
\(426\) | 6.46882 | − | 11.4548i | 0.313415 | − | 0.554987i | ||||
\(427\) | −15.1036 | − | 21.4251i | −0.730913 | − | 1.03683i | ||||
\(428\) | −30.0186 | − | 54.9750i | −1.45101 | − | 2.65732i | ||||
\(429\) | −23.9157 | + | 2.77074i | −1.15466 | + | 0.133772i | ||||
\(430\) | 2.58807 | − | 12.9141i | 0.124808 | − | 0.622775i | ||||
\(431\) | −2.80416 | − | 24.4394i | −0.135072 | − | 1.17720i | −0.867882 | − | 0.496771i | \(-0.834519\pi\) |
0.732810 | − | 0.680433i | \(-0.238208\pi\) | |||||||
\(432\) | 1.20549 | − | 1.81816i | 0.0579991 | − | 0.0874762i | ||||
\(433\) | 0.483033 | + | 33.8236i | 0.0232131 | + | 1.62546i | 0.594073 | + | 0.804411i | \(0.297519\pi\) |
−0.570860 | + | 0.821047i | \(0.693390\pi\) | |||||||
\(434\) | −36.5818 | − | 74.4035i | −1.75598 | − | 3.57148i | ||||
\(435\) | −0.846702 | + | 8.62754i | −0.0405963 | + | 0.413659i | ||||
\(436\) | −2.61427 | − | 4.62927i | −0.125201 | − | 0.221702i | ||||
\(437\) | 9.87112 | − | 20.8226i | 0.472200 | − | 0.996082i | ||||
\(438\) | 36.0564 | − | 12.2874i | 1.72284 | − | 0.587113i | ||||
\(439\) | −16.7578 | − | 19.3395i | −0.799804 | − | 0.923024i | 0.198566 | − | 0.980088i | \(-0.436372\pi\) |
−0.998371 | + | 0.0570640i | \(0.981826\pi\) | |||||||
\(440\) | 17.1670 | − | 8.81707i | 0.818404 | − | 0.420337i | ||||
\(441\) | −3.78619 | + | 4.36949i | −0.180295 | + | 0.208071i | ||||
\(442\) | 21.8930 | − | 53.9406i | 1.04135 | − | 2.56569i | ||||
\(443\) | −3.54908 | − | 27.4628i | −0.168622 | − | 1.30480i | −0.831270 | − | 0.555868i | \(-0.812386\pi\) |
0.662649 | − | 0.748931i | \(-0.269432\pi\) | |||||||
\(444\) | −0.520803 | + | 0.716824i | −0.0247162 | + | 0.0340190i | ||||
\(445\) | −2.06120 | − | 4.84851i | −0.0977102 | − | 0.229841i | ||||
\(446\) | 16.9229 | + | 18.4387i | 0.801324 | + | 0.873100i | ||||
\(447\) | −0.542214 | − | 0.238323i | −0.0256458 | − | 0.0112723i | ||||
\(448\) | 47.9317 | − | 21.0678i | 2.26456 | − | 0.995358i | ||||
\(449\) | −12.2118 | + | 13.3057i | −0.576312 | + | 0.627933i | −0.954649 | − | 0.297735i | \(-0.903769\pi\) |
0.378337 | + | 0.925668i | \(0.376496\pi\) | |||||||
\(450\) | 7.17663 | + | 0.276960i | 0.338310 | + | 0.0130560i | ||||
\(451\) | −21.5016 | + | 3.11561i | −1.01247 | + | 0.146709i | ||||
\(452\) | −28.7569 | + | 21.5272i | −1.35261 | + | 1.01255i | ||||
\(453\) | 23.0235 | + | 2.30912i | 1.08174 | + | 0.108492i | ||||
\(454\) | 2.89095 | + | 50.5569i | 0.135679 | + | 2.37275i | ||||
\(455\) | −23.9935 | − | 34.9292i | −1.12483 | − | 1.63751i | ||||
\(456\) | −6.19688 | + | 23.5754i | −0.290195 | + | 1.10402i | ||||
\(457\) | −1.09125 | − | 0.556019i | −0.0510465 | − | 0.0260095i | 0.428281 | − | 0.903646i | \(-0.359119\pi\) |
−0.479327 | + | 0.877636i | \(0.659119\pi\) | |||||||
\(458\) | −43.9696 | − | 27.3783i | −2.05456 | − | 1.27931i | ||||
\(459\) | −14.1851 | − | 26.8837i | −0.662102 | − | 1.25482i | ||||
\(460\) | 19.9142 | + | 17.6838i | 0.928505 | + | 0.824511i | ||||
\(461\) | −6.58166 | − | 3.00574i | −0.306538 | − | 0.139991i | 0.256206 | − | 0.966622i | \(-0.417527\pi\) |
−0.562745 | + | 0.826631i | \(0.690255\pi\) | |||||||
\(462\) | −42.5439 | + | 18.7555i | −1.97932 | + | 0.872585i | ||||
\(463\) | −37.9317 | − | 14.1478i | −1.76284 | − | 0.657504i | −0.999940 | − | 0.0109835i | \(-0.996504\pi\) |
−0.762897 | − | 0.646520i | \(-0.776223\pi\) | |||||||
\(464\) | 0.555140 | − | 0.811866i | 0.0257717 | − | 0.0376899i | ||||
\(465\) | 14.9424 | − | 27.5043i | 0.692937 | − | 1.27548i | ||||
\(466\) | 38.4131 | + | 13.7058i | 1.77945 | + | 0.634907i | ||||
\(467\) | 4.56556 | + | 3.21848i | 0.211269 | + | 0.148933i | 0.676975 | − | 0.736006i | \(-0.263291\pi\) |
−0.465706 | + | 0.884939i | \(0.654200\pi\) | |||||||
\(468\) | −5.84665 | − | 7.36222i | −0.270261 | − | 0.340319i | ||||
\(469\) | −0.00809251 | − | 0.0942194i | −0.000373677 | − | 0.00435065i | ||||
\(470\) | 3.87595 | − | 4.49242i | 0.178784 | − | 0.207220i | ||||
\(471\) | 7.00946 | + | 26.6667i | 0.322979 | + | 1.22874i | ||||
\(472\) | 1.73843 | − | 7.99145i | 0.0800179 | − | 0.367836i | ||||
\(473\) | 5.53820 | − | 6.59365i | 0.254647 | − | 0.303176i | ||||
\(474\) | 6.19514 | − | 9.63982i | 0.284552 | − | 0.442772i | ||||
\(475\) | 29.1737 | − | 8.70157i | 1.33858 | − | 0.399256i | ||||
\(476\) | 5.88226 | − | 68.4859i | 0.269613 | − | 3.13905i | ||||
\(477\) | 5.85255 | − | 3.88040i | 0.267970 | − | 0.177671i | ||||
\(478\) | 37.3994 | + | 7.02368i | 1.71061 | + | 0.321256i | ||||
\(479\) | −2.75525 | + | 4.56906i | −0.125890 | + | 0.208766i | −0.912909 | − | 0.408164i | \(-0.866169\pi\) |
0.787018 | + | 0.616930i | \(0.211624\pi\) | |||||||
\(480\) | 17.9637 | + | 10.7803i | 0.819926 | + | 0.492051i | ||||
\(481\) | −0.507553 | − | 0.698587i | −0.0231424 | − | 0.0318528i | ||||
\(482\) | −1.78832 | + | 1.68898i | −0.0814557 | + | 0.0769309i | ||||
\(483\) | −16.5364 | − | 16.5364i | −0.752432 | − | 0.752432i | ||||
\(484\) | 34.6052 | + | 0.912373i | 1.57297 | + | 0.0414715i | ||||
\(485\) | 14.6803 | − | 4.57355i | 0.666598 | − | 0.207674i | ||||
\(486\) | −14.6522 | − | 0.418579i | −0.664636 | − | 0.0189871i | ||||
\(487\) | 10.7870 | + | 1.70850i | 0.488807 | + | 0.0774194i | 0.395973 | − | 0.918262i | \(-0.370407\pi\) |
0.0928340 | + | 0.995682i | \(0.470407\pi\) | |||||||
\(488\) | 12.6754 | − | 11.3042i | 0.573788 | − | 0.511717i | ||||
\(489\) | −7.86547 | − | 4.74305i | −0.355689 | − | 0.214488i | ||||
\(490\) | −36.3390 | − | 28.7321i | −1.64163 | − | 1.29798i | ||||
\(491\) | 14.5125 | + | 2.94062i | 0.654942 | + | 0.132708i | 0.514648 | − | 0.857402i | \(-0.327923\pi\) |
0.140294 | + | 0.990110i | \(0.455195\pi\) | |||||||
\(492\) | 20.4249 | + | 24.2632i | 0.920826 | + | 1.09387i | ||||
\(493\) | −6.22156 | − | 12.2105i | −0.280205 | − | 0.549933i | ||||
\(494\) | −54.8313 | − | 35.2379i | −2.46698 | − | 1.58543i | ||||
\(495\) | 4.02876 | + | 2.41170i | 0.181079 | + | 0.108398i | ||||
\(496\) | −2.98745 | + | 1.91992i | −0.134141 | + | 0.0862069i | ||||
\(497\) | 13.0738 | + | 7.63139i | 0.586442 | + | 0.342314i | ||||
\(498\) | −16.0032 | + | 9.96463i | −0.717120 | + | 0.446526i | ||||
\(499\) | −9.84474 | + | 0.845565i | −0.440711 | + | 0.0378527i | −0.303811 | − | 0.952732i | \(-0.598259\pi\) |
−0.136900 | + | 0.990585i | \(0.543714\pi\) | |||||||
\(500\) | 0.225207 | + | 35.1841i | 0.0100716 | + | 1.57348i | ||||
\(501\) | 0.995934 | + | 5.75496i | 0.0444951 | + | 0.257112i | ||||
\(502\) | 5.99107 | − | 2.84011i | 0.267395 | − | 0.126760i | ||||
\(503\) | −0.249437 | + | 17.4664i | −0.0111218 | + | 0.778790i | 0.915399 | + | 0.402547i | \(0.131875\pi\) |
−0.926521 | + | 0.376243i | \(0.877216\pi\) | |||||||
\(504\) | −5.46248 | − | 3.73515i | −0.243318 | − | 0.166377i | ||||
\(505\) | −1.98266 | + | 36.0211i | −0.0882274 | + | 1.60292i | ||||
\(506\) | 9.59935 | + | 26.8108i | 0.426743 | + | 1.19189i | ||||
\(507\) | −13.3527 | + | 4.98031i | −0.593015 | + | 0.221183i | ||||
\(508\) | 3.21043 | − | 12.9639i | 0.142440 | − | 0.575181i | ||||
\(509\) | −4.65011 | + | 2.45361i | −0.206112 | + | 0.108754i | −0.566545 | − | 0.824031i | \(-0.691720\pi\) |
0.360432 | + | 0.932785i | \(0.382629\pi\) | |||||||
\(510\) | 36.6095 | − | 21.4744i | 1.62110 | − | 0.950900i | ||||
\(511\) | 13.5456 | + | 41.6892i | 0.599223 | + | 1.84422i | ||||
\(512\) | −2.22220 | − | 3.80700i | −0.0982082 | − | 0.168247i | ||||
\(513\) | −32.5139 | + | 10.0534i | −1.43553 | + | 0.443870i | ||||
\(514\) | −49.3805 | + | 2.82368i | −2.17808 | + | 0.124547i | ||||
\(515\) | 31.8974 | + | 21.0510i | 1.40557 | + | 0.927618i | ||||
\(516\) | −12.4422 | − | 1.78892i | −0.547737 | − | 0.0787526i | ||||
\(517\) | 3.63306 | − | 1.35962i | 0.159782 | − | 0.0597959i | ||||
\(518\) | −1.33497 | − | 0.999346i | −0.0586552 | − | 0.0439088i | ||||
\(519\) | 11.8661 | + | 10.8906i | 0.520864 | + | 0.478044i | ||||
\(520\) | 20.7111 | − | 18.0238i | 0.908243 | − | 0.790396i | ||||
\(521\) | −0.964720 | − | 2.47786i | −0.0422652 | − | 0.108557i | 0.909149 | − | 0.416470i | \(-0.136733\pi\) |
−0.951414 | + | 0.307913i | \(0.900369\pi\) | |||||||
\(522\) | −3.61636 | − | 0.155019i | −0.158284 | − | 0.00678501i | ||||
\(523\) | −2.06852 | − | 20.6246i | −0.0904501 | − | 0.901849i | −0.932191 | − | 0.361967i | \(-0.882105\pi\) |
0.841741 | − | 0.539882i | \(-0.181531\pi\) | |||||||
\(524\) | 24.0333 | + | 17.4612i | 1.04990 | + | 0.762797i | ||||
\(525\) | 1.63216 | − | 30.8526i | 0.0712334 | − | 1.34652i | ||||
\(526\) | −35.8673 | + | 15.1576i | −1.56389 | + | 0.660905i | ||||
\(527\) | 3.52998 | + | 49.3556i | 0.153768 | + | 2.14996i | ||||
\(528\) | 1.00581 | + | 1.71878i | 0.0437724 | + | 0.0748002i | ||||
\(529\) | 6.55712 | − | 5.68178i | 0.285092 | − | 0.247034i | ||||
\(530\) | 33.1684 | + | 45.4482i | 1.44075 | + | 1.97414i | ||||
\(531\) | 1.87409 | − | 0.668673i | 0.0813285 | − | 0.0290179i | ||||
\(532\) | −74.1456 | − | 20.6257i | −3.21462 | − | 0.894239i | ||||
\(533\) | −28.6397 | + | 11.6241i | −1.24052 | + | 0.503494i | ||||
\(534\) | −7.37986 | + | 3.62843i | −0.319358 | + | 0.157018i | ||||
\(535\) | 39.6978 | + | 20.1205i | 1.71629 | + | 0.869884i | ||||
\(536\) | 0.0600493 | − | 0.0121676i | 0.00259373 | − | 0.000525559i | ||||
\(537\) | 3.37534 | + | 2.68050i | 0.145657 | + | 0.115672i | ||||
\(538\) | −20.3541 | − | 11.1142i | −0.877528 | − | 0.479167i | ||||
\(539\) | −11.8204 | − | 27.8849i | −0.509143 | − | 1.20109i | ||||
\(540\) | −0.645559 | − | 39.3274i | −0.0277804 | − | 1.69238i | ||||
\(541\) | 2.97422 | − | 17.1864i | 0.127872 | − | 0.738899i | −0.849535 | − | 0.527532i | \(-0.823117\pi\) |
0.977407 | − | 0.211367i | \(-0.0677916\pi\) | |||||||
\(542\) | −10.0307 | − | 36.0584i | −0.430855 | − | 1.54884i | ||||
\(543\) | −15.1253 | − | 1.95468i | −0.649090 | − | 0.0838832i | ||||
\(544\) | −33.1050 | + | 0.945734i | −1.41936 | + | 0.0405480i | ||||
\(545\) | 3.39348 | + | 1.65948i | 0.145361 | + | 0.0710844i | ||||
\(546\) | −52.3809 | + | 40.3917i | −2.24170 | + | 1.72861i | ||||
\(547\) | 24.4593 | − | 6.80406i | 1.04580 | − | 0.290921i | 0.297809 | − | 0.954625i | \(-0.403744\pi\) |
0.747995 | + | 0.663705i | \(0.231017\pi\) | |||||||
\(548\) | 20.4185 | − | 14.3940i | 0.872234 | − | 0.614879i | ||||
\(549\) | 3.96481 | + | 1.16417i | 0.169214 | + | 0.0496857i | ||||
\(550\) | −17.8529 | + | 33.1165i | −0.761251 | + | 1.41209i | ||||
\(551\) | −14.7220 | + | 4.32277i | −0.627179 | + | 0.184156i | ||||
\(552\) | 9.42282 | − | 11.8654i | 0.401062 | − | 0.505026i | ||||
\(553\) | 10.9900 | + | 7.28666i | 0.467342 | + | 0.309860i | ||||
\(554\) | 8.82348 | + | 8.57502i | 0.374874 | + | 0.364318i | ||||
\(555\) | 0.0166352 | − | 0.629344i | 0.000706123 | − | 0.0267142i | ||||
\(556\) | −2.88022 | + | 6.81543i | −0.122149 | + | 0.289039i | ||||
\(557\) | 3.88172 | − | 13.9540i | 0.164474 | − | 0.591251i | −0.834704 | − | 0.550699i | \(-0.814361\pi\) |
0.999177 | − | 0.0405519i | \(-0.0129116\pi\) | |||||||
\(558\) | 11.8098 | + | 5.59852i | 0.499948 | + | 0.237004i | ||||
\(559\) | 5.40511 | − | 10.9934i | 0.228612 | − | 0.464973i | ||||
\(560\) | −1.84640 | + | 2.97946i | −0.0780246 | + | 0.125905i | ||||
\(561\) | 27.7363 | − | 0.822909i | 1.17103 | − | 0.0347432i | ||||
\(562\) | 43.7845 | − | 3.13153i | 1.84694 | − | 0.132095i | ||||
\(563\) | 6.03469 | + | 2.44932i | 0.254332 | + | 0.103227i | 0.499685 | − | 0.866207i | \(-0.333449\pi\) |
−0.245353 | + | 0.969434i | \(0.578904\pi\) | |||||||
\(564\) | −4.48432 | − | 3.45793i | −0.188824 | − | 0.145605i | ||||
\(565\) | 8.18152 | − | 24.1769i | 0.344199 | − | 1.01713i | ||||
\(566\) | −51.8300 | − | 42.3812i | −2.17858 | − | 1.78141i | ||||
\(567\) | −1.15243 | + | 26.8844i | −0.0483976 | + | 1.12904i | ||||
\(568\) | −3.94659 | + | 8.97896i | −0.165595 | + | 0.376749i | ||||
\(569\) | −2.74112 | + | 7.04050i | −0.114914 | + | 0.295153i | −0.977561 | − | 0.210653i | \(-0.932441\pi\) |
0.862647 | + | 0.505806i | \(0.168805\pi\) | |||||||
\(570\) | −16.0646 | − | 44.7225i | −0.672872 | − | 1.87322i | ||||
\(571\) | −4.79043 | + | 0.688760i | −0.200473 | + | 0.0288237i | −0.241820 | − | 0.970321i | \(-0.577744\pi\) |
0.0413466 | + | 0.999145i | \(0.486835\pi\) | |||||||
\(572\) | 48.1113 | − | 10.5214i | 2.01163 | − | 0.439923i | ||||
\(573\) | 16.2248 | + | 21.6738i | 0.677800 | + | 0.905434i | ||||
\(574\) | −46.2090 | + | 37.7849i | −1.92872 | + | 1.57711i | ||||
\(575\) | −18.7774 | − | 2.34523i | −0.783073 | − | 0.0978027i | ||||
\(576\) | −3.85159 | + | 7.29957i | −0.160483 | + | 0.304149i | ||||
\(577\) | −8.13239 | + | 4.74699i | −0.338556 | + | 0.197620i | −0.663616 | − | 0.748073i | \(-0.730979\pi\) |
0.325060 | + | 0.945693i | \(0.394615\pi\) | |||||||
\(578\) | −12.9509 | + | 25.4177i | −0.538688 | + | 1.05723i | ||||
\(579\) | −37.6155 | + | 8.74710i | −1.56325 | + | 0.363517i | ||||
\(580\) | −0.0378346 | − | 17.7329i | −0.00157100 | − | 0.736320i | ||||
\(581\) | −11.2026 | − | 18.5773i | −0.464760 | − | 0.770718i | ||||
\(582\) | −8.38750 | − | 22.4878i | −0.347673 | − | 0.932148i | ||||
\(583\) | 4.75470 | + | 36.4761i | 0.196919 | + | 1.51069i | ||||
\(584\) | −25.8340 | + | 11.7980i | −1.06902 | + | 0.488204i | ||||
\(585\) | 6.38607 | + | 1.95968i | 0.264031 | + | 0.0810228i | ||||
\(586\) | −29.9342 | − | 30.8015i | −1.23657 | − | 1.27240i | ||||
\(587\) | −20.1289 | − | 42.4608i | −0.830808 | − | 1.75255i | −0.635975 | − | 0.771710i | \(-0.719402\pi\) |
−0.194833 | − | 0.980836i | \(-0.562416\pi\) | |||||||
\(588\) | −25.4740 | + | 36.1360i | −1.05053 | + | 1.49022i | ||||
\(589\) | 55.0398 | + | 6.31523i | 2.26788 | + | 0.260215i | ||||
\(590\) | 6.02742 | + | 14.7601i | 0.248145 | + | 0.607662i | ||||
\(591\) | −9.01327 | + | 38.7601i | −0.370757 | + | 1.59438i | ||||
\(592\) | −0.0360068 | + | 0.0616856i | −0.00147987 | + | 0.00253526i | ||||
\(593\) | 27.5474 | + | 5.99256i | 1.13123 | + | 0.246085i | 0.738951 | − | 0.673759i | \(-0.235322\pi\) |
0.392284 | + | 0.919844i | \(0.371685\pi\) | |||||||
\(594\) | 19.5859 | − | 37.2185i | 0.803618 | − | 1.52710i | ||||
\(595\) | 24.1073 | + | 42.4766i | 0.988302 | + | 1.74137i | ||||
\(596\) | 1.15225 | + | 0.374388i | 0.0471979 | + | 0.0153355i | ||||
\(597\) | −17.5165 | + | 14.7455i | −0.716903 | + | 0.603494i | ||||
\(598\) | 22.3877 | + | 33.7659i | 0.915502 | + | 1.38079i | ||||
\(599\) | −16.5224 | + | 11.2977i | −0.675087 | + | 0.461613i | −0.852640 | − | 0.522499i | \(-0.825000\pi\) |
0.177553 | + | 0.984111i | \(0.443182\pi\) | |||||||
\(600\) | 19.9797 | − | 1.22804i | 0.815667 | − | 0.0501344i | ||||
\(601\) | 2.30096 | − | 40.2391i | 0.0938580 | − | 1.64139i | −0.521580 | − | 0.853203i | \(-0.674657\pi\) |
0.615438 | − | 0.788186i | \(-0.288979\pi\) | |||||||
\(602\) | 3.70088 | − | 23.3664i | 0.150837 | − | 0.952345i | ||||
\(603\) | 0.0102355 | + | 0.0108375i | 0.000416823 | + | 0.000441339i | ||||
\(604\) | −47.3323 | −1.92592 | ||||||||
\(605\) | −20.6343 | + | 13.3876i | −0.838902 | + | 0.544282i | ||||
\(606\) | 56.3110 | 2.28748 | ||||||||
\(607\) | −21.8182 | − | 23.1014i | −0.885573 | − | 0.937658i | 0.112861 | − | 0.993611i | \(-0.463999\pi\) |
−0.998433 | + | 0.0559524i | \(0.982180\pi\) | |||||||
\(608\) | −5.80064 | + | 36.6238i | −0.235247 | + | 1.48529i | ||||
\(609\) | −0.888948 | + | 15.5459i | −0.0360220 | + | 0.629952i | ||||
\(610\) | −7.89026 | + | 32.1552i | −0.319467 | + | 1.30193i | ||||
\(611\) | 4.55549 | − | 3.11497i | 0.184296 | − | 0.126018i | ||||
\(612\) | 5.98771 | + | 9.03087i | 0.242039 | + | 0.365051i | ||||
\(613\) | −27.4644 | + | 23.1197i | −1.10927 | + | 0.933795i | −0.998197 | − | 0.0600164i | \(-0.980885\pi\) |
−0.111077 | + | 0.993812i | \(0.535430\pi\) | |||||||
\(614\) | −53.8886 | − | 17.5095i | −2.17477 | − | 0.706624i | ||||
\(615\) | −21.7235 | − | 5.99311i | −0.875975 | − | 0.241666i | ||||
\(616\) | 30.1655 | − | 17.0790i | 1.21540 | − | 0.688133i | ||||
\(617\) | 37.8238 | + | 8.22805i | 1.52273 | + | 0.331249i | 0.894602 | − | 0.446864i | \(-0.147459\pi\) |
0.628125 | + | 0.778113i | \(0.283823\pi\) | |||||||
\(618\) | 30.0729 | − | 51.5198i | 1.20971 | − | 2.07243i | ||||
\(619\) | 5.98164 | − | 25.7231i | 0.240423 | − | 1.03390i | −0.705297 | − | 0.708912i | \(-0.749186\pi\) |
0.945719 | − | 0.324985i | \(-0.105359\pi\) | |||||||
\(620\) | −24.7985 | + | 59.0312i | −0.995932 | + | 2.37075i | ||||
\(621\) | 21.0163 | + | 2.41139i | 0.843354 | + | 0.0967658i | ||||
\(622\) | −16.7127 | + | 23.7077i | −0.670117 | + | 0.950592i | ||||
\(623\) | −4.05369 | − | 8.55104i | −0.162407 | − | 0.342590i | ||||
\(624\) | 1.97452 | + | 2.03173i | 0.0790440 | + | 0.0813343i | ||||
\(625\) | −14.2867 | − | 20.5156i | −0.571467 | − | 0.820625i | ||||
\(626\) | −32.2426 | + | 14.7247i | −1.28867 | + | 0.588518i | ||||
\(627\) | 4.82632 | − | 30.6907i | 0.192745 | − | 1.22567i | ||||
\(628\) | −19.7103 | − | 52.8454i | −0.786527 | − | 2.10876i | ||||
\(629\) | 0.513935 | + | 0.852265i | 0.0204919 | + | 0.0339820i | ||||
\(630\) | 12.9003 | − | 0.0275238i | 0.513960 | − | 0.00109657i | ||||
\(631\) | −14.6353 | + | 3.40329i | −0.582622 | + | 0.135483i | −0.507440 | − | 0.861687i | \(-0.669408\pi\) |
−0.0751815 | + | 0.997170i | \(0.523954\pi\) | |||||||
\(632\) | −3.87860 | + | 7.61217i | −0.154282 | + | 0.302796i | ||||
\(633\) | −10.2480 | + | 5.98191i | −0.407322 | + | 0.237760i | ||||
\(634\) | −19.7821 | + | 37.4912i | −0.785647 | + | 1.48897i | ||||
\(635\) | 3.33522 | + | 8.88415i | 0.132354 | + | 0.352557i | ||||
\(636\) | 41.5698 | − | 33.9915i | 1.64835 | − | 1.34785i | ||||
\(637\) | −25.8214 | − | 34.4934i | −1.02308 | − | 1.36668i | ||||
\(638\) | 9.06893 | − | 16.6520i | 0.359042 | − | 0.659261i | ||||
\(639\) | −2.36202 | + | 0.339607i | −0.0934400 | + | 0.0134346i | ||||
\(640\) | −35.1813 | − | 16.5861i | −1.39066 | − | 0.655624i | ||||
\(641\) | 3.12642 | − | 8.03014i | 0.123486 | − | 0.317171i | −0.856528 | − | 0.516101i | \(-0.827383\pi\) |
0.980014 | + | 0.198930i | \(0.0637465\pi\) | |||||||
\(642\) | 27.9534 | − | 63.5974i | 1.10323 | − | 2.50999i | ||||
\(643\) | −0.457311 | + | 10.6684i | −0.0180346 | + | 0.420719i | 0.967668 | + | 0.252226i | \(0.0811627\pi\) |
−0.985703 | + | 0.168493i | \(0.946110\pi\) | |||||||
\(644\) | 37.0331 | + | 30.2818i | 1.45931 | + | 1.19327i | ||||
\(645\) | 8.00670 | − | 3.95786i | 0.315263 | − | 0.155841i | ||||
\(646\) | 59.4886 | + | 45.8726i | 2.34055 | + | 1.80483i | ||||
\(647\) | 28.8339 | + | 11.7029i | 1.13358 | + | 0.460088i | 0.864301 | − | 0.502975i | \(-0.167761\pi\) |
0.269276 | + | 0.963063i | \(0.413216\pi\) | |||||||
\(648\) | −17.3900 | + | 1.24376i | −0.683145 | + | 0.0488595i | ||||
\(649\) | −1.17679 | + | 10.3568i | −0.0461930 | + | 0.406540i | ||||
\(650\) | −13.3856 | + | 51.8225i | −0.525026 | + | 2.03265i | ||||
\(651\) | 24.8069 | − | 50.4548i | 0.972261 | − | 1.97748i | ||||
\(652\) | 16.9772 | + | 8.04818i | 0.664880 | + | 0.315191i | ||||
\(653\) | −2.29571 | + | 8.25265i | −0.0898383 | + | 0.322951i | −0.994709 | − | 0.102736i | \(-0.967240\pi\) |
0.904870 | + | 0.425687i | \(0.139968\pi\) | |||||||
\(654\) | 2.29529 | − | 5.43130i | 0.0897528 | − | 0.212381i | ||||
\(655\) | −21.1003 | − | 0.557735i | −0.824459 | − | 0.0217925i | ||||
\(656\) | 1.83346 | + | 1.78183i | 0.0715844 | + | 0.0695686i | ||||
\(657\) | −5.75903 | − | 3.81839i | −0.224681 | − | 0.148970i | ||||
\(658\) | 6.62787 | − | 8.34596i | 0.258381 | − | 0.325359i | ||||
\(659\) | 9.05373 | − | 2.65841i | 0.352683 | − | 0.103557i | −0.100592 | − | 0.994928i | \(-0.532074\pi\) |
0.453275 | + | 0.891371i | \(0.350255\pi\) | |||||||
\(660\) | 32.4946 | + | 15.2758i | 1.26485 | + | 0.594609i | ||||
\(661\) | −31.5451 | − | 9.26246i | −1.22696 | − | 0.360268i | −0.396858 | − | 0.917880i | \(-0.629900\pi\) |
−0.830102 | + | 0.557612i | \(0.811718\pi\) | |||||||
\(662\) | 3.49195 | − | 2.46164i | 0.135718 | − | 0.0956743i | ||||
\(663\) | 38.0323 | − | 10.5798i | 1.47705 | − | 0.410885i | ||||
\(664\) | 11.1305 | − | 8.58287i | 0.431946 | − | 0.333080i | ||||
\(665\) | 51.7226 | − | 17.7494i | 2.00572 | − | 0.688292i | ||||
\(666\) | 0.262763 | − | 0.00750654i | 0.0101819 | − | 0.000290873i | ||||
\(667\) | 9.45861 | + | 1.22236i | 0.366239 | + | 0.0473298i | ||||
\(668\) | −3.20186 | − | 11.5101i | −0.123884 | − | 0.445338i | ||||
\(669\) | −2.89405 | + | 16.7231i | −0.111890 | + | 0.646553i | ||||
\(670\) | −0.0830608 | + | 0.0858332i | −0.00320892 | + | 0.00331603i | ||||
\(671\) | −14.6190 | + | 15.9637i | −0.564362 | + | 0.616273i | ||||
\(672\) | 33.0278 | + | 18.0345i | 1.27407 | + | 0.695697i | ||||
\(673\) | 2.15129 | + | 1.70843i | 0.0829262 | + | 0.0658551i | 0.662484 | − | 0.749076i | \(-0.269502\pi\) |
−0.579558 | + | 0.814931i | \(0.696775\pi\) | |||||||
\(674\) | 45.9672 | − | 9.31415i | 1.77059 | − | 0.358768i | ||||
\(675\) | 16.1997 | + | 22.7731i | 0.623528 | + | 0.876537i | ||||
\(676\) | 26.1609 | − | 12.8624i | 1.00619 | − | 0.494709i | ||||
\(677\) | −39.9609 | + | 16.2190i | −1.53582 | + | 0.623349i | −0.978370 | − | 0.206861i | \(-0.933675\pi\) |
−0.557451 | + | 0.830210i | \(0.688221\pi\) | |||||||
\(678\) | −38.3830 | − | 10.6773i | −1.47409 | − | 0.410061i | ||||
\(679\) | 26.0127 | − | 9.28132i | 0.998276 | − | 0.356184i | ||||
\(680\) | −25.5608 | + | 18.6544i | −0.980211 | + | 0.715365i | ||||
\(681\) | −25.9523 | + | 22.4878i | −0.994495 | + | 0.861735i | ||||
\(682\) | −53.5675 | + | 42.6364i | −2.05120 | + | 1.63263i | ||||
\(683\) | −1.78581 | − | 24.9689i | −0.0683321 | − | 0.955408i | −0.909786 | − | 0.415078i | \(-0.863754\pi\) |
0.841454 | − | 0.540329i | \(-0.181700\pi\) | |||||||
\(684\) | 11.1749 | − | 4.72254i | 0.427282 | − | 0.180571i | ||||
\(685\) | −6.16769 | + | 16.6446i | −0.235655 | + | 0.635957i | ||||
\(686\) | −15.7155 | − | 11.4180i | −0.600020 | − | 0.435940i | ||||
\(687\) | −3.50520 | − | 34.9492i | −0.133732 | − | 1.33340i | ||||
\(688\) | −1.01237 | − | 0.0433964i | −0.0385963 | − | 0.00165447i | ||||
\(689\) | 18.9864 | + | 48.7661i | 0.723324 | + | 1.85784i | ||||
\(690\) | −2.04433 | + | 29.4669i | −0.0778264 | + | 1.12179i | ||||
\(691\) | −32.0012 | − | 29.3705i | −1.21738 | − | 1.11731i | −0.989638 | − | 0.143585i | \(-0.954137\pi\) |
−0.227746 | − | 0.973721i | \(-0.573136\pi\) | |||||||
\(692\) | −26.3748 | − | 19.7440i | −1.00262 | − | 0.750553i | ||||
\(693\) | 7.40679 | + | 4.03384i | 0.281361 | + | 0.153233i | ||||
\(694\) | −15.7944 | − | 2.27090i | −0.599549 | − | 0.0862021i | ||||
\(695\) | −1.05503 | − | 5.15032i | −0.0400197 | − | 0.195363i | ||||
\(696\) | −10.0722 | + | 0.575950i | −0.381787 | + | 0.0218313i | ||||
\(697\) | 34.0341 | − | 10.5235i | 1.28913 | − | 0.398605i | ||||
\(698\) | −24.7231 | − | 42.3549i | −0.935785 | − | 1.60316i | ||||
\(699\) | 8.54656 | + | 26.3036i | 0.323260 | + | 0.994893i | ||||
\(700\) | 2.97603 | + | 63.1291i | 0.112483 | + | 2.38606i | ||||
\(701\) | −28.0208 | + | 14.7851i | −1.05833 | + | 0.558424i | −0.903089 | − | 0.429453i | \(-0.858706\pi\) |
−0.155241 | + | 0.987877i | \(0.549616\pi\) | |||||||
\(702\) | 14.3828 | − | 58.0787i | 0.542844 | − | 2.19204i | ||||
\(703\) | 1.04403 | − | 0.389403i | 0.0393763 | − | 0.0146866i | ||||
\(704\) | −25.4512 | − | 34.9497i | −0.959229 | − | 1.31721i | ||||
\(705\) | 4.01748 | + | 0.221129i | 0.151307 | + | 0.00832820i | ||||
\(706\) | −23.7773 | − | 16.2585i | −0.894872 | − | 0.611898i | ||||
\(707\) | −0.925300 | + | 64.7927i | −0.0347995 | + | 2.43678i | ||||
\(708\) | 13.7493 | − | 6.51798i | 0.516732 | − | 0.244961i | ||||
\(709\) | −1.42340 | − | 8.22505i | −0.0534569 | − | 0.308898i | 0.946446 | − | 0.322863i | \(-0.104645\pi\) |
−0.999902 | + | 0.0139653i | \(0.995555\pi\) | |||||||
\(710\) | −3.56921 | − | 18.7842i | −0.133950 | − | 0.704958i | ||||
\(711\) | −2.07098 | + | 0.177877i | −0.0776680 | + | 0.00667091i | ||||
\(712\) | 5.20473 | − | 3.24081i | 0.195056 | − | 0.121454i | ||||
\(713\) | −29.7404 | − | 17.3599i | −1.11379 | − | 0.650133i | ||||
\(714\) | 64.1341 | − | 41.2165i | 2.40016 | − | 1.54249i | ||||
\(715\) | −23.9444 | + | 25.5176i | −0.895471 | + | 0.954303i | ||||
\(716\) | −7.41719 | − | 4.76674i | −0.277193 | − | 0.178141i | ||||
\(717\) | 11.7151 | + | 22.9922i | 0.437509 | + | 0.858661i | ||||
\(718\) | −22.6295 | − | 26.8821i | −0.844527 | − | 1.00323i | ||||
\(719\) | 12.3111 | + | 2.49456i | 0.459128 | + | 0.0930313i | 0.422630 | − | 0.906302i | \(-0.361107\pi\) |
0.0364979 | + | 0.999334i | \(0.488380\pi\) | |||||||
\(720\) | −0.0641562 | − | 0.548806i | −0.00239096 | − | 0.0204528i | ||||
\(721\) | 58.7857 | + | 35.4491i | 2.18929 | + | 1.32019i | ||||
\(722\) | 30.6008 | − | 27.2905i | 1.13885 | − | 1.01565i | ||||
\(723\) | −1.64753 | − | 0.260943i | −0.0612722 | − | 0.00970457i | ||||
\(724\) | 31.1844 | + | 0.890867i | 1.15896 | + | 0.0331088i | ||||
\(725\) | 7.15624 | + | 10.3704i | 0.265776 | + | 0.385147i | ||||
\(726\) | 22.6354 | + | 31.0112i | 0.840080 | + | 1.15094i | ||||
\(727\) | −17.7192 | − | 17.7192i | −0.657167 | − | 0.657167i | 0.297542 | − | 0.954709i | \(-0.403833\pi\) |
−0.954709 | + | 0.297542i | \(0.903833\pi\) | |||||||
\(728\) | 35.8532 | − | 33.8616i | 1.32881 | − | 1.25499i | ||||
\(729\) | −17.6566 | − | 24.3023i | −0.653949 | − | 0.900084i | ||||
\(730\) | 28.4893 | − | 47.4730i | 1.05444 | − | 1.75705i | ||||
\(731\) | −7.29109 | + | 12.0909i | −0.269671 | + | 0.447199i | ||||
\(732\) | 31.0560 | + | 5.83237i | 1.14786 | + | 0.215571i | ||||
\(733\) | 11.9763 | − | 7.94060i | 0.442354 | − | 0.293293i | −0.311608 | − | 0.950211i | \(-0.600868\pi\) |
0.753962 | + | 0.656918i | \(0.228140\pi\) | |||||||
\(734\) | −1.31984 | + | 15.3666i | −0.0487163 | + | 0.567193i | ||||
\(735\) | 0.381562 | − | 31.4121i | 0.0140741 | − | 1.15865i | ||||
\(736\) | 12.4610 | − | 19.3896i | 0.459317 | − | 0.714711i | ||||
\(737\) | −0.0745788 | + | 0.0231500i | −0.00274715 | + | 0.000852742i | ||||
\(738\) | 2.00010 | − | 9.19432i | 0.0736248 | − | 0.338448i | ||||
\(739\) | 9.12987 | + | 34.7336i | 0.335848 | + | 1.27770i | 0.894041 | + | 0.447986i | \(0.147859\pi\) |
−0.558193 | + | 0.829711i | \(0.688505\pi\) | |||||||
\(740\) | 0.0946121 | + | 1.28433i | 0.00347801 | + | 0.0472131i | ||||
\(741\) | −3.78231 | − | 44.0367i | −0.138947 | − | 1.61773i | ||||
\(742\) | 62.8502 | + | 79.1423i | 2.30730 | + | 2.90541i | ||||
\(743\) | 12.7209 | + | 8.96759i | 0.466686 | + | 0.328989i | 0.785536 | − | 0.618816i | \(-0.212387\pi\) |
−0.318850 | + | 0.947805i | \(0.603297\pi\) | |||||||
\(744\) | 34.3088 | + | 12.2413i | 1.25782 | + | 0.448789i | ||||
\(745\) | −0.825454 | + | 0.244289i | −0.0302423 | + | 0.00895007i | ||||
\(746\) | 43.3517 | − | 63.3998i | 1.58722 | − | 2.32123i | ||||
\(747\) | 3.20408 | + | 1.19506i | 0.117231 | + | 0.0437249i | ||||
\(748\) | −56.2851 | + | 7.33682i | −2.05799 | + | 0.268261i | ||||
\(749\) | 72.7172 | + | 33.2088i | 2.65703 | + | 1.21342i | ||||
\(750\) | −30.7492 | + | 24.0266i | −1.12280 | + | 0.877327i | ||||
\(751\) | 0.257062 | + | 0.487186i | 0.00938031 | + | 0.0177777i | 0.889078 | − | 0.457755i | \(-0.151346\pi\) |
−0.879698 | + | 0.475533i | \(0.842255\pi\) | |||||||
\(752\) | −0.387502 | − | 0.241284i | −0.0141307 | − | 0.00879873i | ||||
\(753\) | 4.00603 | + | 2.04117i | 0.145988 | + | 0.0743846i | ||||
\(754\) | 6.85767 | − | 26.0893i | 0.249742 | − | 0.950116i | ||||
\(755\) | 27.7211 | − | 19.0421i | 1.00887 | − | 0.693013i | ||||
\(756\) | −4.03330 | − | 70.5344i | −0.146690 | − | 2.56531i | ||||
\(757\) | −3.72020 | − | 0.373114i | −0.135213 | − | 0.0135610i | 0.0319563 | − | 0.999489i | \(-0.489826\pi\) |
−0.167169 | + | 0.985928i | \(0.553463\pi\) | |||||||
\(758\) | −13.9452 | + | 10.4393i | −0.506513 | + | 0.379171i | ||||
\(759\) | −10.4226 | + | 16.2571i | −0.378315 | + | 0.590097i | ||||
\(760\) | 15.2449 | + | 31.9818i | 0.552990 | + | 1.16010i | ||||
\(761\) | −1.81503 | + | 1.97760i | −0.0657947 | + | 0.0716880i | −0.768766 | − | 0.639530i | \(-0.779129\pi\) |
0.702971 | + | 0.711218i | \(0.251856\pi\) | |||||||
\(762\) | 13.5603 | − | 5.96028i | 0.491239 | − | 0.215918i | ||||
\(763\) | 6.21165 | + | 2.73025i | 0.224877 | + | 0.0988418i | ||||
\(764\) | −37.4475 | − | 40.8017i | −1.35480 | − | 1.47616i | ||||
\(765\) | −7.14000 | − | 2.88021i | −0.258147 | − | 0.104134i | ||||
\(766\) | −2.47235 | + | 3.40289i | −0.0893295 | + | 0.122952i | ||||
\(767\) | 1.90057 | + | 14.7066i | 0.0686256 | + | 0.531026i | ||||
\(768\) | −7.74788 | + | 19.0894i | −0.279577 | + | 0.688830i | ||||
\(769\) | −15.8693 | + | 18.3141i | −0.572261 | + | 0.660424i | −0.965923 | − | 0.258831i | \(-0.916663\pi\) |
0.393662 | + | 0.919255i | \(0.371208\pi\) | |||||||
\(770\) | −29.6203 | + | 60.7399i | −1.06744 | + | 2.18891i | ||||
\(771\) | −21.9645 | − | 25.3484i | −0.791033 | − | 0.912901i | ||||
\(772\) | 74.7752 | − | 25.4820i | 2.69122 | − | 0.917119i | ||||
\(773\) | 17.6312 | − | 37.1921i | 0.634149 | − | 1.33771i | −0.290496 | − | 0.956876i | \(-0.593820\pi\) |
0.924645 | − | 0.380830i | \(-0.124362\pi\) | |||||||
\(774\) | 1.83382 | + | 3.24727i | 0.0659152 | + | 0.116721i | ||||
\(775\) | −9.22495 | − | 44.5494i | −0.331370 | − | 1.60026i | ||||
\(776\) | 7.89536 | + | 16.0583i | 0.283427 | + | 0.576461i | ||||
\(777\) | −0.0161476 | − | 1.13071i | −0.000579293 | − | 0.0405641i | ||||
\(778\) | −15.1803 | + | 22.8954i | −0.544240 | + | 0.820841i | ||||
\(779\) | −4.54660 | − | 39.6255i | −0.162899 | − | 1.41973i | ||||
\(780\) | 50.0860 | + | 10.0375i | 1.79337 | + | 0.359401i | ||||
\(781\) | 3.84978 | − | 11.8929i | 0.137756 | − | 0.425562i | ||||
\(782\) | −22.3781 | − | 40.9823i | −0.800238 | − | 1.46553i | ||||
\(783\) | −8.11555 | − | 11.5123i | −0.290026 | − | 0.411415i | ||||
\(784\) | −1.75256 | + | 3.10337i | −0.0625913 | + | 0.110835i | ||||
\(785\) | 32.8038 | + | 23.0203i | 1.17082 | + | 0.821630i | ||||
\(786\) | 0.940847 | + | 32.9340i | 0.0335589 | + | 1.17472i | ||||
\(787\) | 31.6444 | + | 29.8866i | 1.12800 | + | 1.06534i | 0.997264 | + | 0.0739269i | \(0.0235532\pi\) |
0.130739 | + | 0.991417i | \(0.458265\pi\) | |||||||
\(788\) | 10.4330 | − | 80.7304i | 0.371659 | − | 2.87590i | ||||
\(789\) | −22.9922 | − | 12.9843i | −0.818545 | − | 0.462254i | ||||
\(790\) | −2.16982 | − | 16.5129i | −0.0771988 | − | 0.587502i | ||||
\(791\) | 12.9163 | − | 43.9888i | 0.459250 | − | 1.56406i | ||||
\(792\) | −2.04946 | + | 5.06551i | −0.0728245 | + | 0.179995i | ||||
\(793\) | −14.7585 | + | 27.0281i | −0.524088 | + | 0.959796i | ||||
\(794\) | 43.1121 | − | 4.94665i | 1.52999 | − | 0.175550i | ||||
\(795\) | −10.6712 | + | 36.6316i | −0.378467 | + | 1.29919i | ||||
\(796\) | 32.6422 | − | 33.5881i | 1.15697 | − | 1.19050i | ||||
\(797\) | −27.7633 | − | 9.46124i | −0.983428 | − | 0.335134i | −0.216087 | − | 0.976374i | \(-0.569329\pi\) |
−0.767341 | + | 0.641240i | \(0.778420\pi\) | |||||||
\(798\) | −32.1005 | − | 79.0901i | −1.13635 | − | 2.79976i | ||||
\(799\) | −5.53841 | + | 3.12769i | −0.195935 | + | 0.110650i | ||||
\(800\) | 30.0544 | − | 4.89169i | 1.06258 | − | 0.172948i | ||||
\(801\) | 1.33869 | + | 0.658188i | 0.0473001 | + | 0.0232559i | ||||
\(802\) | −54.8289 | − | 3.92144i | −1.93608 | − | 0.138471i | ||||
\(803\) | 31.2408 | − | 18.2819i | 1.10247 | − | 0.645153i | ||||
\(804\) | 0.0861508 | + | 0.0746501i | 0.00303831 | + | 0.00263271i | ||||
\(805\) | −33.8717 | − | 2.83645i | −1.19382 | − | 0.0999718i | ||||
\(806\) | −59.4775 | + | 77.1317i | −2.09500 | + | 2.71685i | ||||
\(807\) | −2.46013 | − | 15.5326i | −0.0866006 | − | 0.546775i | ||||
\(808\) | −41.7740 | + | 4.18968i | −1.46960 | + | 0.147392i | ||||
\(809\) | 0.297043 | − | 0.272624i | 0.0104435 | − | 0.00958495i | −0.670936 | − | 0.741515i | \(-0.734108\pi\) |
0.681380 | + | 0.731930i | \(0.261380\pi\) | |||||||
\(810\) | 26.5706 | − | 21.1934i | 0.933597 | − | 0.744661i | ||||
\(811\) | −22.1357 | − | 8.61820i | −0.777289 | − | 0.302626i | −0.0588963 | − | 0.998264i | \(-0.518758\pi\) |
−0.718392 | + | 0.695638i | \(0.755122\pi\) | |||||||
\(812\) | −1.36412 | − | 31.8229i | −0.0478714 | − | 1.11676i | ||||
\(813\) | 15.2100 | − | 20.3182i | 0.533437 | − | 0.712589i | ||||
\(814\) | −0.570659 | + | 1.25322i | −0.0200016 | + | 0.0439252i | ||||
\(815\) | −13.1809 | + | 2.11648i | −0.461706 | + | 0.0741372i | ||||
\(816\) | −2.06700 | − | 2.52783i | −0.0723594 | − | 0.0884918i | ||||
\(817\) | 11.7980 | + | 10.5217i | 0.412759 | + | 0.368107i | ||||
\(818\) | 3.56589 | + | 11.5325i | 0.124679 | + | 0.403224i | ||||
\(819\) | 11.6045 | + | 3.05028i | 0.405492 | + | 0.106585i | ||||
\(820\) | 45.4384 | + | 7.76360i | 1.58678 | + | 0.271117i | ||||
\(821\) | −4.31402 | − | 18.5517i | −0.150560 | − | 0.647460i | −0.993919 | − | 0.110110i | \(-0.964880\pi\) |
0.843359 | − | 0.537350i | \(-0.180575\pi\) | |||||||
\(822\) | 26.4707 | + | 8.18483i | 0.923270 | + | 0.285479i | ||||
\(823\) | 12.1509 | + | 3.00909i | 0.423553 | + | 0.104890i | 0.446368 | − | 0.894850i | \(-0.352717\pi\) |
−0.0228147 | + | 0.999740i | \(0.507263\pi\) | |||||||
\(824\) | −18.4762 | + | 40.4571i | −0.643647 | + | 1.40939i | ||||
\(825\) | −25.1766 | + | 4.12623i | −0.876538 | + | 0.143657i | ||||
\(826\) | 11.8964 | + | 26.0496i | 0.413930 | + | 0.906381i | ||||
\(827\) | −0.530632 | − | 2.82549i | −0.0184519 | − | 0.0982518i | 0.972364 | − | 0.233470i | \(-0.0750082\pi\) |
−0.990816 | + | 0.135219i | \(0.956826\pi\) | |||||||
\(828\) | −7.54013 | − | 0.107680i | −0.262038 | − | 0.00374214i | ||||
\(829\) | −6.04659 | + | 16.9467i | −0.210007 | + | 0.588585i | −0.999689 | − | 0.0249309i | \(-0.992063\pi\) |
0.789683 | + | 0.613516i | \(0.210245\pi\) | |||||||
\(830\) | −8.41152 | + | 26.0772i | −0.291968 | + | 0.905152i | ||||
\(831\) | −0.951091 | + | 8.28914i | −0.0329930 | + | 0.287547i | ||||
\(832\) | −47.0551 | − | 39.6113i | −1.63134 | − | 1.37327i | ||||
\(833\) | 26.2493 | + | 42.1564i | 0.909485 | + | 1.46063i | ||||
\(834\) | −7.93657 | + | 2.08616i | −0.274821 | + | 0.0722377i | ||||
\(835\) | 6.50581 | + | 5.45296i | 0.225143 | + | 0.188707i | ||||
\(836\) | −3.55825 | + | 63.4517i | −0.123065 | + | 2.19452i | ||||
\(837\) | 10.8106 | + | 49.6955i | 0.373668 | + | 1.71773i | ||||
\(838\) | −35.7297 | + | 18.2052i | −1.23426 | + | 0.628887i | ||||
\(839\) | 30.9679 | + | 2.65984i | 1.06913 | + | 0.0918279i | 0.606781 | − | 0.794869i | \(-0.292460\pi\) |
0.462351 | + | 0.886697i | \(0.347006\pi\) | |||||||
\(840\) | 35.7682 | − | 3.66443i | 1.23412 | − | 0.126435i | ||||
\(841\) | 12.7845 | + | 18.6967i | 0.440844 | + | 0.644714i | ||||
\(842\) | −11.9909 | − | 48.4199i | −0.413233 | − | 1.66866i | ||||
\(843\) | 19.8126 | + | 22.2158i | 0.682381 | + | 0.765154i | ||||
\(844\) | 19.6372 | − | 14.2673i | 0.675941 | − | 0.491100i | ||||
\(845\) | −10.1470 | + | 18.0578i | −0.349066 | + | 0.621208i | ||||
\(846\) | 1.68001i | 0.0577600i | ||||||||
\(847\) | −36.0541 | + | 25.5352i | −1.23884 | + | 0.877401i | ||||
\(848\) | 3.06084 | − | 3.06084i | 0.105110 | − | 0.105110i | ||||
\(849\) | 1.29649 | − | 45.3829i | 0.0444953 | − | 1.55754i | ||||
\(850\) | 20.4822 | − | 58.1888i | 0.702535 | − | 1.99586i | ||||
\(851\) | −0.691491 | − | 0.0395409i | −0.0237040 | − | 0.00135544i | ||||
\(852\) | −17.7130 | + | 4.38652i | −0.606839 | + | 0.150280i | ||||
\(853\) | −4.90548 | + | 26.1205i | −0.167960 | + | 0.894348i | 0.791215 | + | 0.611537i | \(0.209449\pi\) |
−0.959176 | + | 0.282811i | \(0.908733\pi\) | |||||||
\(854\) | −11.8104 | + | 58.2864i | −0.404142 | + | 1.99452i | ||||
\(855\) | −4.64486 | + | 7.26157i | −0.158851 | + | 0.248340i | ||||
\(856\) | −16.0053 | + | 49.2591i | −0.547048 | + | 1.68364i | ||||
\(857\) | 15.7753 | − | 3.43171i | 0.538875 | − | 0.117225i | 0.0651126 | − | 0.997878i | \(-0.479259\pi\) |
0.473762 | + | 0.880653i | \(0.342896\pi\) | |||||||
\(858\) | 41.8247 | + | 35.1298i | 1.42787 | + | 1.19931i | ||||
\(859\) | −23.9780 | − | 37.3105i | −0.818118 | − | 1.27302i | −0.959118 | − | 0.283007i | \(-0.908668\pi\) |
0.140999 | − | 0.990010i | \(-0.454968\pi\) | |||||||
\(860\) | −15.4885 | + | 9.69009i | −0.528154 | + | 0.330429i | ||||
\(861\) | −39.4256 | − | 9.16804i | −1.34362 | − | 0.312446i | ||||
\(862\) | −35.9415 | + | 42.6956i | −1.22417 | + | 1.45422i | ||||
\(863\) | 16.0285 | − | 12.7289i | 0.545616 | − | 0.433296i | −0.310129 | − | 0.950695i | \(-0.600372\pi\) |
0.855745 | + | 0.517398i | \(0.173099\pi\) | |||||||
\(864\) | −33.5410 | + | 5.80449i | −1.14109 | + | 0.197473i | ||||
\(865\) | 23.3901 | + | 0.952649i | 0.795286 | + | 0.0323910i | ||||
\(866\) | 55.0353 | − | 53.4855i | 1.87017 | − | 1.81751i | ||||
\(867\) | −19.0124 | + | 3.57056i | −0.645694 | + | 0.121263i | ||||
\(868\) | −40.1914 | + | 107.757i | −1.36418 | + | 3.65752i | ||||
\(869\) | 3.93931 | − | 10.1511i | 0.133632 | − | 0.344351i | ||||
\(870\) | 15.5490 | − | 12.0430i | 0.527160 | − | 0.408298i | ||||
\(871\) | −0.0951350 | + | 0.0573685i | −0.00322353 | + | 0.00194386i | ||||
\(872\) | −1.29864 | + | 4.19995i | −0.0439775 | + | 0.142228i | ||||
\(873\) | −2.30126 | + | 3.69582i | −0.0778858 | + | 0.125085i | ||||
\(874\) | −49.7211 | + | 16.1554i | −1.68184 | + | 0.546463i | ||||
\(875\) | −27.1402 | − | 35.7755i | −0.917507 | − | 1.20943i | ||||
\(876\) | −46.7334 | − | 24.6587i | −1.57897 | − | 0.833139i | ||||
\(877\) | −23.5275 | + | 26.3814i | −0.794468 | + | 0.890837i | −0.996064 | − | 0.0886319i | \(-0.971751\pi\) |
0.201597 | + | 0.979469i | \(0.435387\pi\) | |||||||
\(878\) | −5.79358 | + | 57.7659i | −0.195524 | + | 1.94951i | ||||
\(879\) | 4.14508 | − | 28.8296i | 0.139810 | − | 0.972399i | ||||
\(880\) | 2.72926 | + | 0.963858i | 0.0920032 | + | 0.0324917i | ||||
\(881\) | −5.10593 | − | 35.5125i | −0.172023 | − | 1.19645i | −0.874602 | − | 0.484842i | \(-0.838877\pi\) |
0.702579 | − | 0.711606i | \(-0.252032\pi\) | |||||||
\(882\) | 13.1049 | − | 0.561755i | 0.441264 | − | 0.0189153i | ||||
\(883\) | −4.92728 | − | 11.2102i | −0.165816 | − | 0.377252i | 0.812920 | − | 0.582376i | \(-0.197877\pi\) |
−0.978736 | + | 0.205124i | \(0.934240\pi\) | |||||||
\(884\) | −75.2494 | + | 29.2973i | −2.53091 | + | 0.985374i | ||||
\(885\) | −5.43034 | + | 9.34883i | −0.182539 | + | 0.314257i | ||||
\(886\) | −39.7679 | + | 48.6341i | −1.33603 | + | 1.63389i | ||||
\(887\) | 14.4444 | − | 2.28777i | 0.484997 | − | 0.0768160i | 0.0908522 | − | 0.995864i | \(-0.471041\pi\) |
0.394145 | + | 0.919048i | \(0.371041\pi\) | |||||||
\(888\) | 0.726623 | − | 0.0939029i | 0.0243839 | − | 0.00315118i | ||||
\(889\) | 6.63520 | + | 15.7008i | 0.222537 | + | 0.526587i | ||||
\(890\) | −4.78616 | + | 10.9525i | −0.160432 | + | 0.367127i | ||||
\(891\) | 21.8909 | − | 3.81318i | 0.733372 | − | 0.127746i | ||||
\(892\) | 2.47666 | − | 34.6282i | 0.0829247 | − | 1.15944i | ||||
\(893\) | 2.29713 | + | 6.74076i | 0.0768705 | + | 0.225571i | ||||
\(894\) | 0.451551 | + | 1.26556i | 0.0151021 | + | 0.0423267i | ||||
\(895\) | 6.26171 | − | 0.192254i | 0.209306 | − | 0.00642635i | ||||
\(896\) | −64.3529 | − | 27.1958i | −2.14988 | − | 0.908547i | ||||
\(897\) | −8.86192 | + | 26.0047i | −0.295891 | + | 0.868271i | ||||
\(898\) | 40.9690 | − | 0.585076i | 1.36715 | − | 0.0195242i | ||||
\(899\) | 4.55348 | + | 22.4723i | 0.151867 | + | 0.749494i | ||||
\(900\) | −6.55608 | − | 7.50120i | −0.218536 | − | 0.250040i | ||||
\(901\) | −16.9927 | − | 57.8720i | −0.566110 | − | 1.92799i | ||||
\(902\) | 38.6329 | + | 30.6108i | 1.28634 | + | 1.01923i | ||||
\(903\) | 14.0805 | − | 7.68852i | 0.468569 | − | 0.255858i | ||||
\(904\) | 29.2686 | + | 5.06513i | 0.973459 | + | 0.168464i | ||||
\(905\) | −18.6221 | + | 12.0239i | −0.619021 | + | 0.399689i | ||||
\(906\) | −32.0563 | − | 41.5714i | −1.06500 | − | 1.38112i | ||||
\(907\) | −20.9447 | + | 22.1765i | −0.695456 | + | 0.736360i | −0.974616 | − | 0.223885i | \(-0.928126\pi\) |
0.279159 | + | 0.960245i | \(0.409944\pi\) | |||||||
\(908\) | 48.2316 | − | 51.0684i | 1.60062 | − | 1.69476i | ||||
\(909\) | −6.23756 | − | 8.08902i | −0.206887 | − | 0.268296i | ||||
\(910\) | −20.2353 | + | 93.9853i | −0.670795 | + | 3.11558i | ||||
\(911\) | −11.4003 | − | 1.97290i | −0.377708 | − | 0.0653649i | −0.0214931 | − | 0.999769i | \(-0.506842\pi\) |
−0.356215 | + | 0.934404i | \(0.615933\pi\) | |||||||
\(912\) | −3.20876 | + | 1.75211i | −0.106252 | + | 0.0580183i | ||||
\(913\) | −13.0100 | + | 12.3144i | −0.430567 | + | 0.407547i | ||||
\(914\) | 0.782813 | + | 2.66602i | 0.0258931 | + | 0.0881840i | ||||
\(915\) | −20.5349 | + | 9.07819i | −0.678864 | + | 0.300116i | ||||
\(916\) | 14.2686 | + | 70.4185i | 0.471449 | + | 2.32669i | ||||
\(917\) | −37.9100 | + | 0.541390i | −1.25190 | + | 0.0178783i | ||||
\(918\) | −22.2444 | + | 65.2746i | −0.734175 | + | 2.15438i | ||||
\(919\) | 32.3650 | + | 13.6775i | 1.06762 | + | 0.451181i | 0.851049 | − | 0.525086i | \(-0.175967\pi\) |
0.216572 | + | 0.976267i | \(0.430512\pi\) | |||||||
\(920\) | −0.675836 | − | 22.0119i | −0.0222817 | − | 0.725712i | ||||
\(921\) | −12.9123 | − | 36.1892i | −0.425474 | − | 1.19247i | ||||
\(922\) | 5.29500 | + | 15.5378i | 0.174382 | + | 0.511710i | ||||
\(923\) | 1.26869 | − | 17.7385i | 0.0417593 | − | 0.583871i | ||||
\(924\) | 59.4353 | + | 25.0405i | 1.95528 | + | 0.823773i | ||||
\(925\) | −0.572107 | − | 0.714132i | −0.0188108 | − | 0.0234805i | ||||
\(926\) | 35.7532 | + | 84.6023i | 1.17492 | + | 2.78020i | ||||
\(927\) | −10.7319 | + | 1.38691i | −0.352483 | + | 0.0455521i | ||||
\(928\) | −15.1576 | + | 2.40073i | −0.497574 | + | 0.0788080i | ||||
\(929\) | 6.67508 | − | 8.16328i | 0.219002 | − | 0.267829i | −0.652970 | − | 0.757384i | \(-0.726477\pi\) |
0.871972 | + | 0.489555i | \(0.162841\pi\) | |||||||
\(930\) | −68.6414 | + | 18.1993i | −2.25084 | + | 0.596779i | ||||
\(931\) | 51.8130 | − | 20.1726i | 1.69810 | − | 0.661131i | ||||
\(932\) | −22.7647 | − | 51.7925i | −0.745683 | − | 1.69652i | ||||
\(933\) | −19.6518 | + | 0.842398i | −0.643373 | + | 0.0275789i | ||||
\(934\) | −1.80354 | − | 12.5439i | −0.0590136 | − | 0.410449i | ||||
\(935\) | 30.0128 | − | 26.9408i | 0.981523 | − | 0.881059i | ||||
\(936\) | −1.10635 | + | 7.69481i | −0.0361621 | + | 0.251513i | ||||
\(937\) | −4.57984 | + | 45.6641i | −0.149617 | + | 1.49178i | 0.583742 | + | 0.811939i | \(0.301588\pi\) |
−0.733359 | + | 0.679842i | \(0.762048\pi\) | |||||||
\(938\) | −0.142797 | + | 0.160118i | −0.00466248 | + | 0.00522804i | ||||
\(939\) | −21.2588 | − | 11.2171i | −0.693754 | − | 0.366056i | ||||
\(940\) | −8.22212 | + | 0.370027i | −0.268176 | + | 0.0120689i | ||||
\(941\) | 38.0608 | − | 12.3667i | 1.24075 | − | 0.403143i | 0.386150 | − | 0.922436i | \(-0.373805\pi\) |
0.854596 | + | 0.519293i | \(0.173805\pi\) | |||||||
\(942\) | 33.0644 | − | 53.1014i | 1.07730 | − | 1.73014i | ||||
\(943\) | −7.32371 | + | 23.6857i | −0.238493 | + | 0.771312i | ||||
\(944\) | 1.05039 | − | 0.633410i | 0.0341873 | − | 0.0206157i | ||||
\(945\) | 30.7386 | + | 39.6872i | 0.999928 | + | 1.29102i | ||||
\(946\) | −19.5025 | + | 1.13673i | −0.634082 | + | 0.0369582i | ||||
\(947\) | 9.85132 | − | 26.4124i | 0.320125 | − | 0.858288i | −0.672830 | − | 0.739797i | \(-0.734922\pi\) |
0.992955 | − | 0.118491i | \(-0.0378057\pi\) | |||||||
\(948\) | −15.6220 | + | 2.93385i | −0.507380 | + | 0.0952869i | ||||
\(949\) | 36.9291 | − | 35.8892i | 1.19877 | − | 1.16501i | ||||
\(950\) | −59.7976 | − | 34.5635i | −1.94009 | − | 1.12139i | ||||
\(951\) | −28.3247 | + | 4.90178i | −0.918492 | + | 0.158951i | ||||
\(952\) | −44.5109 | + | 35.3479i | −1.44261 | + | 1.14563i | ||||
\(953\) | 12.8868 | − | 15.3085i | 0.417445 | − | 0.495892i | −0.515007 | − | 0.857186i | \(-0.672211\pi\) |
0.932452 | + | 0.361294i | \(0.117665\pi\) | |||||||
\(954\) | −15.5170 | − | 3.60833i | −0.502383 | − | 0.116824i | ||||
\(955\) | 38.3467 | + | 8.83093i | 1.24087 | + | 0.285762i | ||||
\(956\) | −28.5379 | − | 44.4059i | −0.922982 | − | 1.43619i | ||||
\(957\) | 12.6977 | − | 2.02544i | 0.410457 | − | 0.0654731i | ||||
\(958\) | 11.8281 | − | 2.57304i | 0.382148 | − | 0.0831312i | ||||
\(959\) | −9.85261 | + | 30.3232i | −0.318157 | + | 0.979188i | ||||
\(960\) | −9.62584 | − | 43.7991i | −0.310673 | − | 1.41361i | ||||
\(961\) | 10.2850 | − | 50.7583i | 0.331773 | − | 1.63737i | ||||
\(962\) | −0.361588 | + | 1.92537i | −0.0116581 | + | 0.0620765i | ||||
\(963\) | −12.2321 | + | 3.02920i | −0.394174 | + | 0.0976145i | ||||
\(964\) | 3.40657 | + | 0.194795i | 0.109718 | + | 0.00627391i | ||||
\(965\) | −33.5419 | + | 45.0066i | −1.07975 | + | 1.44881i | ||||
\(966\) | −1.51507 | + | 53.0343i | −0.0487465 | + | 1.70635i | ||||
\(967\) | 7.26585 | − | 7.26585i | 0.233654 | − | 0.233654i | −0.580562 | − | 0.814216i | \(-0.697167\pi\) |
0.814216 | + | 0.580562i | \(0.197167\pi\) | |||||||
\(968\) | −19.0993 | − | 21.3214i | −0.613874 | − | 0.685294i | ||||
\(969\) | 50.9414i | 1.63647i | ||||||||
\(970\) | −30.4118 | − | 17.0888i | −0.976463 | − | 0.548689i | ||||
\(971\) | 29.0902 | − | 21.1353i | 0.933551 | − | 0.678264i | −0.0133090 | − | 0.999911i | \(-0.504237\pi\) |
0.946860 | + | 0.321647i | \(0.104237\pi\) | |||||||
\(972\) | 13.5333 | + | 15.1749i | 0.434082 | + | 0.486737i | ||||
\(973\) | −2.26996 | − | 9.16626i | −0.0727717 | − | 0.293857i | ||||
\(974\) | −13.9856 | − | 20.4532i | −0.448127 | − | 0.655364i | ||||
\(975\) | −33.3720 | + | 14.2713i | −1.06876 | + | 0.457046i | ||||
\(976\) | 2.53790 | + | 0.217980i | 0.0812362 | + | 0.00697738i | ||||
\(977\) | −44.7130 | + | 22.7824i | −1.43050 | + | 0.728874i | −0.985975 | − | 0.166894i | \(-0.946626\pi\) |
−0.444521 | + | 0.895768i | \(0.646626\pi\) | |||||||
\(978\) | 4.42939 | + | 20.3616i | 0.141636 | + | 0.651092i | ||||
\(979\) | −6.18296 | + | 4.77864i | −0.197608 | + | 0.152726i | ||||
\(980\) | 5.63566 | + | 64.0126i | 0.180025 | + | 2.04481i | ||||
\(981\) | −1.03445 | + | 0.271909i | −0.0330274 | + | 0.00868139i | ||||
\(982\) | −17.7568 | − | 28.5174i | −0.566641 | − | 0.910025i | ||||
\(983\) | −28.9617 | − | 24.3802i | −0.923734 | − | 0.777606i | 0.0515245 | − | 0.998672i | \(-0.483592\pi\) |
−0.975259 | + | 0.221066i | \(0.929047\pi\) | |||||||
\(984\) | 2.98948 | − | 26.0545i | 0.0953011 | − | 0.830588i | ||||
\(985\) | 26.3681 | + | 51.4785i | 0.840158 | + | 1.64024i | ||||
\(986\) | −10.4480 | + | 29.2826i | −0.332732 | + | 0.932548i | ||||
\(987\) | 7.22641 | + | 0.103200i | 0.230019 | + | 0.00328489i | ||||
\(988\) | 16.6877 | + | 88.8581i | 0.530907 | + | 2.82695i | ||||
\(989\) | −4.08190 | − | 8.93812i | −0.129797 | − | 0.284216i | ||||
\(990\) | −2.29802 | − | 10.4018i | −0.0730359 | − | 0.330590i | ||||
\(991\) | −10.2790 | + | 22.5078i | −0.326523 | + | 0.714985i | −0.999700 | − | 0.0244962i | \(-0.992202\pi\) |
0.673177 | + | 0.739481i | \(0.264929\pi\) | |||||||
\(992\) | 53.7872 | + | 13.3200i | 1.70775 | + | 0.422912i | ||||
\(993\) | 2.76791 | + | 0.855850i | 0.0878371 | + | 0.0271596i | ||||
\(994\) | −7.77880 | − | 33.4514i | −0.246729 | − | 1.06102i | ||||
\(995\) | −5.60484 | + | 32.8037i | −0.177685 | + | 1.03995i | ||||
\(996\) | 25.2913 | + | 6.64791i | 0.801384 | + | 0.210647i | ||||
\(997\) | −0.882774 | − | 2.85499i | −0.0279577 | − | 0.0904184i | 0.940323 | − | 0.340283i | \(-0.110523\pi\) |
−0.968281 | + | 0.249865i | \(0.919614\pi\) | |||||||
\(998\) | 16.7303 | + | 14.9205i | 0.529589 | + | 0.472299i | ||||
\(999\) | 0.647513 | + | 0.791875i | 0.0204864 | + | 0.0250538i |
(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 | 605.2.w.a.2.8 | ✓ | 5120 | |
5.3 | odd | 4 | inner | 605.2.w.a.123.8 | yes | 5120 | |
121.61 | odd | 110 | inner | 605.2.w.a.182.8 | yes | 5120 | |
605.303 | even | 220 | inner | 605.2.w.a.303.8 | yes | 5120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
605.2.w.a.2.8 | ✓ | 5120 | 1.1 | even | 1 | trivial | |
605.2.w.a.123.8 | yes | 5120 | 5.3 | odd | 4 | inner | |
605.2.w.a.182.8 | yes | 5120 | 121.61 | odd | 110 | inner | |
605.2.w.a.303.8 | yes | 5120 | 605.303 | even | 220 | inner |