Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(19,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 0, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.t (of order \(22\), degree \(10\), 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: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 19.2 | ||
Character | \(\chi\) | \(=\) | 552.19 |
Dual form | 552.2.t.b.523.2 |
$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{15}{22}\right)\) | \(1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40243 | + | 0.182193i | −0.991667 | + | 0.128830i | ||||
\(3\) | −0.959493 | + | 0.281733i | −0.553964 | + | 0.162658i | ||||
\(4\) | 1.93361 | − | 0.511026i | 0.966806 | − | 0.255513i | ||||
\(5\) | 2.78195 | + | 1.78785i | 1.24413 | + | 0.799551i | 0.986030 | − | 0.166568i | \(-0.0532686\pi\) |
0.258096 | + | 0.966119i | \(0.416905\pi\) | |||||||
\(6\) | 1.29429 | − | 0.569923i | 0.528392 | − | 0.232670i | ||||
\(7\) | −0.0254555 | − | 0.177047i | −0.00962127 | − | 0.0669174i | 0.984445 | − | 0.175692i | \(-0.0562164\pi\) |
−0.994066 | + | 0.108775i | \(0.965307\pi\) | |||||||
\(8\) | −2.61865 | + | 1.06897i | −0.925831 | + | 0.377938i | ||||
\(9\) | 0.841254 | − | 0.540641i | 0.280418 | − | 0.180214i | ||||
\(10\) | −4.22722 | − | 2.00048i | −1.33676 | − | 0.632607i | ||||
\(11\) | 3.85955 | + | 1.76260i | 1.16370 | + | 0.531444i | 0.901164 | − | 0.433479i | \(-0.142714\pi\) |
0.262536 | + | 0.964922i | \(0.415441\pi\) | |||||||
\(12\) | −1.71131 | + | 1.03509i | −0.494014 | + | 0.298804i | ||||
\(13\) | 4.18213 | + | 0.601299i | 1.15991 | + | 0.166770i | 0.695284 | − | 0.718735i | \(-0.255279\pi\) |
0.464629 | + | 0.885505i | \(0.346188\pi\) | |||||||
\(14\) | 0.0679563 | + | 0.243658i | 0.0181621 | + | 0.0651203i | ||||
\(15\) | −3.17296 | − | 0.931664i | −0.819254 | − | 0.240555i | ||||
\(16\) | 3.47770 | − | 1.97625i | 0.869426 | − | 0.494063i | ||||
\(17\) | −3.14676 | + | 2.72668i | −0.763202 | + | 0.661318i | −0.946851 | − | 0.321674i | \(-0.895755\pi\) |
0.183649 | + | 0.982992i | \(0.441209\pi\) | |||||||
\(18\) | −1.08130 | + | 0.911481i | −0.254864 | + | 0.214838i | ||||
\(19\) | −5.71631 | − | 4.95321i | −1.31141 | − | 1.13634i | −0.981317 | − | 0.192397i | \(-0.938374\pi\) |
−0.330094 | − | 0.943948i | \(-0.607081\pi\) | |||||||
\(20\) | 6.29285 | + | 2.03536i | 1.40712 | + | 0.455120i | ||||
\(21\) | 0.0743042 | + | 0.162704i | 0.0162145 | + | 0.0355048i | ||||
\(22\) | −5.73388 | − | 1.76873i | −1.22247 | − | 0.377095i | ||||
\(23\) | 3.61020 | − | 3.15697i | 0.752778 | − | 0.658275i | ||||
\(24\) | 2.21141 | − | 1.76343i | 0.451402 | − | 0.359958i | ||||
\(25\) | 2.46576 | + | 5.39926i | 0.493152 | + | 1.07985i | ||||
\(26\) | −5.97468 | − | 0.0813230i | −1.17173 | − | 0.0159487i | ||||
\(27\) | −0.654861 | + | 0.755750i | −0.126028 | + | 0.145444i | ||||
\(28\) | −0.139697 | − | 0.329331i | −0.0264002 | − | 0.0622378i | ||||
\(29\) | 4.64539 | − | 4.02526i | 0.862628 | − | 0.747471i | −0.106426 | − | 0.994321i | \(-0.533941\pi\) |
0.969054 | + | 0.246849i | \(0.0793952\pi\) | |||||||
\(30\) | 4.61959 | + | 0.728501i | 0.843418 | + | 0.133005i | ||||
\(31\) | −1.17483 | + | 4.00112i | −0.211007 | + | 0.718622i | 0.784172 | + | 0.620543i | \(0.213088\pi\) |
−0.995179 | + | 0.0980788i | \(0.968730\pi\) | |||||||
\(32\) | −4.51717 | + | 3.40517i | −0.798531 | + | 0.601954i | ||||
\(33\) | −4.19980 | − | 0.603840i | −0.731091 | − | 0.105115i | ||||
\(34\) | 3.91632 | − | 4.39730i | 0.671644 | − | 0.754131i | ||||
\(35\) | 0.245717 | − | 0.538046i | 0.0415338 | − | 0.0909464i | ||||
\(36\) | 1.35038 | − | 1.47529i | 0.225063 | − | 0.245882i | ||||
\(37\) | −6.76625 | + | 4.34840i | −1.11236 | + | 0.714873i | −0.961807 | − | 0.273728i | \(-0.911743\pi\) |
−0.150557 | + | 0.988601i | \(0.548107\pi\) | |||||||
\(38\) | 8.91916 | + | 5.90505i | 1.44688 | + | 0.957926i | ||||
\(39\) | −4.18213 | + | 0.601299i | −0.669676 | + | 0.0962849i | ||||
\(40\) | −9.19610 | − | 1.70793i | −1.45403 | − | 0.270047i | ||||
\(41\) | 7.76768 | + | 4.99199i | 1.21311 | + | 0.779617i | 0.981176 | − | 0.193115i | \(-0.0618590\pi\) |
0.231932 | + | 0.972732i | \(0.425495\pi\) | |||||||
\(42\) | −0.133850 | − | 0.214642i | −0.0206535 | − | 0.0331200i | ||||
\(43\) | −2.78902 | − | 9.49852i | −0.425321 | − | 1.44851i | −0.842010 | − | 0.539462i | \(-0.818628\pi\) |
0.416689 | − | 0.909049i | \(-0.363190\pi\) | |||||||
\(44\) | 8.36361 | + | 1.43585i | 1.26086 | + | 0.216462i | ||||
\(45\) | 3.30691 | 0.492965 | ||||||||
\(46\) | −4.48786 | + | 5.08519i | −0.661699 | + | 0.749770i | ||||
\(47\) | 11.3460i | 1.65499i | 0.561474 | + | 0.827495i | \(0.310235\pi\) | ||||
−0.561474 | + | 0.827495i | \(0.689765\pi\) | |||||||
\(48\) | −2.78006 | + | 2.87598i | −0.401267 | + | 0.415112i | ||||
\(49\) | 6.68575 | − | 1.96311i | 0.955108 | − | 0.280445i | ||||
\(50\) | −4.44176 | − | 7.12283i | −0.628160 | − | 1.00732i | ||||
\(51\) | 2.25110 | − | 3.50278i | 0.315217 | − | 0.490487i | ||||
\(52\) | 8.39388 | − | 0.974499i | 1.16402 | − | 0.135139i | ||||
\(53\) | 1.14347 | + | 7.95303i | 0.157068 | + | 1.09243i | 0.904000 | + | 0.427532i | \(0.140617\pi\) |
−0.746932 | + | 0.664901i | \(0.768474\pi\) | |||||||
\(54\) | 0.780703 | − | 1.17920i | 0.106240 | − | 0.160468i | ||||
\(55\) | 7.58582 | + | 11.8038i | 1.02287 | + | 1.59162i | ||||
\(56\) | 0.255917 | + | 0.436412i | 0.0341983 | + | 0.0583180i | ||||
\(57\) | 6.88024 | + | 3.14210i | 0.911310 | + | 0.416181i | ||||
\(58\) | −5.78146 | + | 6.49150i | −0.759143 | + | 0.852375i | ||||
\(59\) | −1.02028 | + | 7.09621i | −0.132829 | + | 0.923847i | 0.809013 | + | 0.587791i | \(0.200002\pi\) |
−0.941842 | + | 0.336056i | \(0.890907\pi\) | |||||||
\(60\) | −6.61137 | − | 0.180011i | −0.853524 | − | 0.0232394i | ||||
\(61\) | 4.71849 | + | 1.38547i | 0.604141 | + | 0.177392i | 0.569477 | − | 0.822007i | \(-0.307146\pi\) |
0.0346641 | + | 0.999399i | \(0.488964\pi\) | |||||||
\(62\) | 0.918644 | − | 5.82533i | 0.116668 | − | 0.739818i | ||||
\(63\) | −0.117133 | − | 0.135179i | −0.0147574 | − | 0.0170310i | ||||
\(64\) | 5.71461 | − | 5.59850i | 0.714326 | − | 0.699813i | ||||
\(65\) | 10.5594 | + | 9.14980i | 1.30974 | + | 1.13489i | ||||
\(66\) | 5.99993 | + | 0.0816666i | 0.738540 | + | 0.0100525i | ||||
\(67\) | 5.47104 | − | 2.49854i | 0.668394 | − | 0.305245i | −0.0521654 | − | 0.998638i | \(-0.516612\pi\) |
0.720560 | + | 0.693393i | \(0.243885\pi\) | |||||||
\(68\) | −4.69121 | + | 6.88043i | −0.568892 | + | 0.834374i | ||||
\(69\) | −2.57453 | + | 4.04620i | −0.309938 | + | 0.487106i | ||||
\(70\) | −0.246573 | + | 0.799339i | −0.0294711 | + | 0.0955393i | ||||
\(71\) | −4.50355 | + | 2.05670i | −0.534473 | + | 0.244085i | −0.664320 | − | 0.747449i | \(-0.731279\pi\) |
0.129847 | + | 0.991534i | \(0.458551\pi\) | |||||||
\(72\) | −1.62502 | + | 2.31502i | −0.191510 | + | 0.272828i | ||||
\(73\) | −2.24971 | + | 2.59631i | −0.263309 | + | 0.303875i | −0.871974 | − | 0.489553i | \(-0.837160\pi\) |
0.608665 | + | 0.793428i | \(0.291706\pi\) | |||||||
\(74\) | 8.69693 | − | 7.33109i | 1.01100 | − | 0.852222i | ||||
\(75\) | −3.88703 | − | 4.48587i | −0.448835 | − | 0.517984i | ||||
\(76\) | −13.5843 | − | 6.65640i | −1.55823 | − | 0.763541i | ||||
\(77\) | 0.213816 | − | 0.728190i | 0.0243666 | − | 0.0829849i | ||||
\(78\) | 5.75558 | − | 1.60523i | 0.651691 | − | 0.181757i | ||||
\(79\) | −0.165519 | + | 1.15121i | −0.0186223 | + | 0.129521i | −0.997012 | − | 0.0772493i | \(-0.975386\pi\) |
0.978389 | + | 0.206770i | \(0.0662953\pi\) | |||||||
\(80\) | 13.2080 | + | 0.719779i | 1.47670 | + | 0.0804738i | ||||
\(81\) | 0.415415 | − | 0.909632i | 0.0461572 | − | 0.101070i | ||||
\(82\) | −11.8031 | − | 5.58568i | −1.30344 | − | 0.616835i | ||||
\(83\) | −2.19154 | − | 3.41010i | −0.240553 | − | 0.374307i | 0.699895 | − | 0.714246i | \(-0.253230\pi\) |
−0.940448 | + | 0.339939i | \(0.889594\pi\) | |||||||
\(84\) | 0.226821 | + | 0.276634i | 0.0247482 | + | 0.0301832i | ||||
\(85\) | −13.6290 | + | 1.95956i | −1.47828 | + | 0.212544i | ||||
\(86\) | 5.64196 | + | 12.8129i | 0.608389 | + | 1.38165i | ||||
\(87\) | −3.32318 | + | 5.17096i | −0.356282 | + | 0.554386i | ||||
\(88\) | −11.9910 | − | 0.489879i | −1.27824 | − | 0.0522212i | ||||
\(89\) | −4.25877 | − | 14.5041i | −0.451429 | − | 1.53743i | −0.799916 | − | 0.600113i | \(-0.795122\pi\) |
0.348487 | − | 0.937314i | \(-0.386696\pi\) | |||||||
\(90\) | −4.63771 | + | 0.602497i | −0.488857 | + | 0.0635088i | ||||
\(91\) | − | 0.755738i | − | 0.0792229i | ||||||
\(92\) | 5.36742 | − | 7.94927i | 0.559592 | − | 0.828768i | ||||
\(93\) | − | 4.17003i | − | 0.432412i | ||||||
\(94\) | −2.06717 | − | 15.9120i | −0.213213 | − | 1.64120i | ||||
\(95\) | −7.04689 | − | 23.9995i | −0.722995 | − | 2.46230i | ||||
\(96\) | 3.37485 | − | 4.53987i | 0.344444 | − | 0.463348i | ||||
\(97\) | −1.67525 | + | 2.60673i | −0.170095 | + | 0.264674i | −0.915827 | − | 0.401573i | \(-0.868464\pi\) |
0.745732 | + | 0.666246i | \(0.232100\pi\) | |||||||
\(98\) | −9.01862 | + | 3.97123i | −0.911019 | + | 0.401155i | ||||
\(99\) | 4.19980 | − | 0.603840i | 0.422095 | − | 0.0606882i | ||||
\(100\) | 7.52699 | + | 9.18000i | 0.752699 | + | 0.918000i | ||||
\(101\) | −4.33646 | − | 6.74767i | −0.431494 | − | 0.671418i | 0.555620 | − | 0.831436i | \(-0.312481\pi\) |
−0.987114 | + | 0.160019i | \(0.948845\pi\) | |||||||
\(102\) | −2.51882 | + | 5.32253i | −0.249401 | + | 0.527009i | ||||
\(103\) | 0.457112 | − | 1.00094i | 0.0450406 | − | 0.0986252i | −0.885774 | − | 0.464117i | \(-0.846372\pi\) |
0.930815 | + | 0.365492i | \(0.119099\pi\) | |||||||
\(104\) | −11.5943 | + | 2.89597i | −1.13691 | + | 0.283974i | ||||
\(105\) | −0.0841790 | + | 0.585478i | −0.00821503 | + | 0.0571368i | ||||
\(106\) | −3.05263 | − | 10.9452i | −0.296498 | − | 1.06309i | ||||
\(107\) | 0.726014 | − | 2.47258i | 0.0701864 | − | 0.239033i | −0.916927 | − | 0.399055i | \(-0.869338\pi\) |
0.987113 | + | 0.160022i | \(0.0511565\pi\) | |||||||
\(108\) | −0.880038 | + | 1.79598i | −0.0846817 | + | 0.172818i | ||||
\(109\) | −2.66347 | − | 3.07381i | −0.255114 | − | 0.294418i | 0.613717 | − | 0.789526i | \(-0.289674\pi\) |
−0.868831 | + | 0.495109i | \(0.835128\pi\) | |||||||
\(110\) | −12.7891 | − | 15.1719i | −1.21940 | − | 1.44658i | ||||
\(111\) | 5.26708 | − | 6.07854i | 0.499929 | − | 0.576949i | ||||
\(112\) | −0.438416 | − | 0.565410i | −0.0414264 | − | 0.0534262i | ||||
\(113\) | −17.6885 | + | 8.07804i | −1.66399 | + | 0.759919i | −0.664064 | + | 0.747675i | \(0.731170\pi\) |
−0.999925 | + | 0.0122431i | \(0.996103\pi\) | |||||||
\(114\) | −10.2215 | − | 3.15304i | −0.957333 | − | 0.295309i | ||||
\(115\) | 15.6876 | − | 2.32806i | 1.46287 | − | 0.217092i | ||||
\(116\) | 6.92537 | − | 10.1572i | 0.643005 | − | 0.943072i | ||||
\(117\) | 3.84331 | − | 1.75518i | 0.355315 | − | 0.162267i | ||||
\(118\) | 0.137988 | − | 10.1378i | 0.0127029 | − | 0.933261i | ||||
\(119\) | 0.562853 | + | 0.487715i | 0.0515967 | + | 0.0447088i | ||||
\(120\) | 9.30477 | − | 0.952095i | 0.849405 | − | 0.0869140i | ||||
\(121\) | 4.58593 | + | 5.29245i | 0.416903 | + | 0.481132i | ||||
\(122\) | −6.86977 | − | 1.08335i | −0.621960 | − | 0.0980820i | ||||
\(123\) | −8.85944 | − | 2.60137i | −0.798829 | − | 0.234557i | ||||
\(124\) | −0.226996 | + | 8.33698i | −0.0203848 | + | 0.748683i | ||||
\(125\) | −0.440340 | + | 3.06263i | −0.0393852 | + | 0.273930i | ||||
\(126\) | 0.188900 | + | 0.168238i | 0.0168285 | + | 0.0149878i | ||||
\(127\) | 14.7617 | + | 6.74143i | 1.30989 | + | 0.598205i | 0.943227 | − | 0.332149i | \(-0.107774\pi\) |
0.366660 | + | 0.930355i | \(0.380501\pi\) | |||||||
\(128\) | −6.99432 | + | 8.89266i | −0.618216 | + | 0.786008i | ||||
\(129\) | 5.35208 | + | 8.32801i | 0.471225 | + | 0.733240i | ||||
\(130\) | −16.4759 | − | 10.9081i | −1.44503 | − | 0.956702i | ||||
\(131\) | −1.49655 | − | 10.4087i | −0.130754 | − | 0.909414i | −0.944574 | − | 0.328298i | \(-0.893525\pi\) |
0.813820 | − | 0.581117i | \(-0.197384\pi\) | |||||||
\(132\) | −8.42935 | + | 0.978616i | −0.733681 | + | 0.0851776i | ||||
\(133\) | −0.731439 | + | 1.13814i | −0.0634238 | + | 0.0986894i | ||||
\(134\) | −7.21753 | + | 4.50081i | −0.623499 | + | 0.388811i | ||||
\(135\) | −3.17296 | + | 0.931664i | −0.273085 | + | 0.0801849i | ||||
\(136\) | 5.32551 | − | 10.5040i | 0.456659 | − | 0.900712i | ||||
\(137\) | − | 6.83949i | − | 0.584337i | −0.956367 | − | 0.292168i | \(-0.905623\pi\) | ||
0.956367 | − | 0.292168i | \(-0.0943768\pi\) | |||||||
\(138\) | 2.87341 | − | 6.14358i | 0.244601 | − | 0.522976i | ||||
\(139\) | 5.07955 | 0.430842 | 0.215421 | − | 0.976521i | \(-0.430888\pi\) | ||||
0.215421 | + | 0.976521i | \(0.430888\pi\) | |||||||
\(140\) | 0.200166 | − | 1.16594i | 0.0169171 | − | 0.0985399i | ||||
\(141\) | −3.19655 | − | 10.8864i | −0.269198 | − | 0.916804i | ||||
\(142\) | 5.94118 | − | 3.70489i | 0.498573 | − | 0.310908i | ||||
\(143\) | 15.0813 | + | 9.69216i | 1.26116 | + | 0.810499i | ||||
\(144\) | 1.85719 | − | 3.54272i | 0.154766 | − | 0.295227i | ||||
\(145\) | 20.1198 | − | 2.89279i | 1.67086 | − | 0.240233i | ||||
\(146\) | 2.68203 | − | 4.05102i | 0.221967 | − | 0.335265i | ||||
\(147\) | −5.86186 | + | 3.76719i | −0.483478 | + | 0.310712i | ||||
\(148\) | −10.8611 | + | 11.8659i | −0.892781 | + | 0.975367i | ||||
\(149\) | 4.29246 | − | 9.39917i | 0.351652 | − | 0.770010i | −0.648311 | − | 0.761376i | \(-0.724524\pi\) |
0.999963 | − | 0.00863434i | \(-0.00274843\pi\) | |||||||
\(150\) | 6.26857 | + | 5.58292i | 0.511827 | + | 0.455843i | ||||
\(151\) | −16.0155 | − | 2.30268i | −1.30332 | − | 0.187389i | −0.544540 | − | 0.838735i | \(-0.683296\pi\) |
−0.758781 | + | 0.651346i | \(0.774205\pi\) | |||||||
\(152\) | 20.2638 | + | 6.86015i | 1.64361 | + | 0.556431i | ||||
\(153\) | −1.17307 | + | 3.99510i | −0.0948369 | + | 0.322985i | ||||
\(154\) | −0.167190 | + | 1.06019i | −0.0134726 | + | 0.0854325i | ||||
\(155\) | −10.4217 | + | 9.03048i | −0.837094 | + | 0.725346i | ||||
\(156\) | −7.77933 | + | 3.29985i | −0.622844 | + | 0.264200i | ||||
\(157\) | 3.99975 | − | 4.61596i | 0.319215 | − | 0.368394i | −0.573352 | − | 0.819309i | \(-0.694357\pi\) |
0.892567 | + | 0.450916i | \(0.148903\pi\) | |||||||
\(158\) | 0.0223857 | − | 1.64465i | 0.00178091 | − | 0.130841i | ||||
\(159\) | −3.33778 | − | 7.30873i | −0.264703 | − | 0.579620i | ||||
\(160\) | −18.6545 | + | 1.39698i | −1.47477 | + | 0.110441i | ||||
\(161\) | −0.650832 | − | 0.558811i | −0.0512927 | − | 0.0440405i | ||||
\(162\) | −0.416861 | + | 1.35138i | −0.0327517 | + | 0.106174i | ||||
\(163\) | −8.16187 | − | 17.8720i | −0.639287 | − | 1.39984i | −0.900626 | − | 0.434596i | \(-0.856891\pi\) |
0.261339 | − | 0.965247i | \(-0.415836\pi\) | |||||||
\(164\) | 17.5707 | + | 5.68307i | 1.37204 | + | 0.443773i | ||||
\(165\) | −10.6040 | − | 9.18846i | −0.825524 | − | 0.715321i | ||||
\(166\) | 3.69477 | + | 4.38314i | 0.286770 | + | 0.340197i | ||||
\(167\) | −13.5147 | + | 11.7106i | −1.04580 | + | 0.906193i | −0.995708 | − | 0.0925516i | \(-0.970498\pi\) |
−0.0500945 | + | 0.998744i | \(0.515952\pi\) | |||||||
\(168\) | −0.368502 | − | 0.346634i | −0.0284305 | − | 0.0267434i | ||||
\(169\) | 4.65521 | + | 1.36689i | 0.358093 | + | 0.105146i | ||||
\(170\) | 18.7567 | − | 5.23126i | 1.43858 | − | 0.401220i | ||||
\(171\) | −7.48678 | − | 1.07644i | −0.572528 | − | 0.0823171i | ||||
\(172\) | −10.2469 | − | 16.9412i | −0.781316 | − | 1.29175i | ||||
\(173\) | −0.0492606 | − | 0.0224965i | −0.00374521 | − | 0.00171038i | 0.413542 | − | 0.910485i | \(-0.364292\pi\) |
−0.417287 | + | 0.908775i | \(0.637019\pi\) | |||||||
\(174\) | 3.71840 | − | 7.85737i | 0.281891 | − | 0.595666i | ||||
\(175\) | 0.893155 | − | 0.573996i | 0.0675162 | − | 0.0433900i | ||||
\(176\) | 16.9057 | − | 1.49766i | 1.27432 | − | 0.112890i | ||||
\(177\) | −1.02028 | − | 7.09621i | −0.0766890 | − | 0.533383i | ||||
\(178\) | 8.61517 | + | 19.5650i | 0.645734 | + | 1.46646i | ||||
\(179\) | 9.70920 | + | 6.23972i | 0.725699 | + | 0.466379i | 0.850615 | − | 0.525789i | \(-0.176230\pi\) |
−0.124916 | + | 0.992167i | \(0.539866\pi\) | |||||||
\(180\) | 6.39428 | − | 1.68992i | 0.476601 | − | 0.125959i | ||||
\(181\) | 13.8837 | − | 4.07661i | 1.03196 | − | 0.303012i | 0.278455 | − | 0.960449i | \(-0.410178\pi\) |
0.753510 | + | 0.657437i | \(0.228359\pi\) | |||||||
\(182\) | 0.137691 | + | 1.05987i | 0.0102063 | + | 0.0785627i | ||||
\(183\) | −4.91769 | −0.363526 | ||||||||
\(184\) | −6.07911 | + | 12.1262i | −0.448158 | + | 0.893954i | ||||
\(185\) | −26.5977 | −1.95550 | ||||||||
\(186\) | 0.759753 | + | 5.84818i | 0.0557078 | + | 0.428809i | ||||
\(187\) | −16.9512 | + | 4.97731i | −1.23959 | + | 0.363977i | ||||
\(188\) | 5.79812 | + | 21.9388i | 0.422872 | + | 1.60005i | ||||
\(189\) | 0.150473 | + | 0.0967030i | 0.0109453 | + | 0.00703411i | ||||
\(190\) | 14.2553 | + | 32.3737i | 1.03419 | + | 2.34863i | ||||
\(191\) | −0.494019 | − | 3.43598i | −0.0357460 | − | 0.248619i | 0.964112 | − | 0.265497i | \(-0.0855362\pi\) |
−0.999858 | + | 0.0168788i | \(0.994627\pi\) | |||||||
\(192\) | −3.90585 | + | 6.98172i | −0.281880 | + | 0.503862i | ||||
\(193\) | 4.78026 | − | 3.07209i | 0.344091 | − | 0.221134i | −0.357169 | − | 0.934040i | \(-0.616258\pi\) |
0.701259 | + | 0.712906i | \(0.252621\pi\) | |||||||
\(194\) | 1.87448 | − | 3.96097i | 0.134580 | − | 0.284381i | ||||
\(195\) | −12.7095 | − | 5.80423i | −0.910146 | − | 0.415650i | ||||
\(196\) | 11.9244 | − | 7.21250i | 0.851746 | − | 0.515178i | ||||
\(197\) | −7.82534 | − | 1.12511i | −0.557533 | − | 0.0801611i | −0.142212 | − | 0.989836i | \(-0.545421\pi\) |
−0.415321 | + | 0.909675i | \(0.636331\pi\) | |||||||
\(198\) | −5.77990 | + | 1.61202i | −0.410760 | + | 0.114561i | ||||
\(199\) | 2.63129 | + | 0.772617i | 0.186527 | + | 0.0547694i | 0.373662 | − | 0.927565i | \(-0.378102\pi\) |
−0.187135 | + | 0.982334i | \(0.559920\pi\) | |||||||
\(200\) | −12.2286 | − | 11.5029i | −0.864692 | − | 0.813380i | ||||
\(201\) | −4.54551 | + | 3.93870i | −0.320615 | + | 0.277815i | ||||
\(202\) | 7.31096 | + | 8.67304i | 0.514397 | + | 0.610233i | ||||
\(203\) | −0.830910 | − | 0.719987i | −0.0583184 | − | 0.0505332i | ||||
\(204\) | 2.56274 | − | 7.92339i | 0.179428 | − | 0.554748i | ||||
\(205\) | 12.6844 | + | 27.7749i | 0.885915 | + | 1.93988i | ||||
\(206\) | −0.458703 | + | 1.48702i | −0.0319594 | + | 0.103606i | ||||
\(207\) | 1.33030 | − | 4.60764i | 0.0924622 | − | 0.320253i | ||||
\(208\) | 15.7325 | − | 6.17380i | 1.09085 | − | 0.428076i | ||||
\(209\) | −13.3319 | − | 29.1928i | −0.922186 | − | 2.01931i | ||||
\(210\) | 0.0113848 | − | 0.836428i | 0.000785628 | − | 0.0577190i | ||||
\(211\) | 7.72069 | − | 8.91015i | 0.531514 | − | 0.613400i | −0.424962 | − | 0.905211i | \(-0.639712\pi\) |
0.956476 | + | 0.291811i | \(0.0942579\pi\) | |||||||
\(212\) | 6.27524 | + | 14.7937i | 0.430985 | + | 1.01604i | ||||
\(213\) | 3.74168 | − | 3.24219i | 0.256376 | − | 0.222151i | ||||
\(214\) | −0.567696 | + | 3.59989i | −0.0388069 | + | 0.246083i | ||||
\(215\) | 9.22303 | − | 31.4108i | 0.629005 | − | 2.14220i | ||||
\(216\) | 0.906975 | − | 2.67907i | 0.0617118 | − | 0.182287i | ||||
\(217\) | 0.738291 | + | 0.106150i | 0.0501185 | + | 0.00720595i | ||||
\(218\) | 4.29536 | + | 3.82553i | 0.290918 | + | 0.259098i | ||||
\(219\) | 1.42712 | − | 3.12496i | 0.0964358 | − | 0.211165i | ||||
\(220\) | 20.7001 | + | 18.9473i | 1.39560 | + | 1.27743i | ||||
\(221\) | −14.7997 | + | 9.51119i | −0.995536 | + | 0.639792i | ||||
\(222\) | −6.27923 | + | 9.48434i | −0.421435 | + | 0.636547i | ||||
\(223\) | −15.3739 | + | 2.21044i | −1.02951 | + | 0.148022i | −0.636313 | − | 0.771431i | \(-0.719541\pi\) |
−0.393201 | + | 0.919452i | \(0.628632\pi\) | |||||||
\(224\) | 0.717861 | + | 0.713071i | 0.0479641 | + | 0.0476440i | ||||
\(225\) | 4.99339 | + | 3.20906i | 0.332893 | + | 0.213937i | ||||
\(226\) | 23.3350 | − | 14.5516i | 1.55222 | − | 0.967958i | ||||
\(227\) | 1.33748 | + | 4.55505i | 0.0887718 | + | 0.302329i | 0.991896 | − | 0.127050i | \(-0.0405508\pi\) |
−0.903125 | + | 0.429379i | \(0.858733\pi\) | |||||||
\(228\) | 14.9094 | + | 2.55962i | 0.987400 | + | 0.169515i | ||||
\(229\) | 6.56624 | 0.433909 | 0.216955 | − | 0.976182i | \(-0.430388\pi\) | ||||
0.216955 | + | 0.976182i | \(0.430388\pi\) | |||||||
\(230\) | −21.5766 | + | 6.12311i | −1.42272 | + | 0.403746i | ||||
\(231\) | 0.758932i | 0.0499340i | ||||||||
\(232\) | −7.86177 | + | 15.5065i | −0.516150 | + | 1.01805i | ||||
\(233\) | 6.34692 | − | 1.86362i | 0.415800 | − | 0.122090i | −0.0671393 | − | 0.997744i | \(-0.521387\pi\) |
0.482940 | + | 0.875654i | \(0.339569\pi\) | |||||||
\(234\) | −5.07019 | + | 3.16175i | −0.331449 | + | 0.206690i | ||||
\(235\) | −20.2850 | + | 31.5641i | −1.32325 | + | 2.05902i | ||||
\(236\) | 1.65352 | + | 14.2427i | 0.107635 | + | 0.927120i | ||||
\(237\) | −0.165519 | − | 1.15121i | −0.0107516 | − | 0.0747791i | ||||
\(238\) | −0.878220 | − | 0.581437i | −0.0569265 | − | 0.0376890i | ||||
\(239\) | −3.44777 | − | 5.36484i | −0.223018 | − | 0.347023i | 0.711656 | − | 0.702528i | \(-0.247945\pi\) |
−0.934674 | + | 0.355505i | \(0.884309\pi\) | |||||||
\(240\) | −12.8758 | + | 3.03051i | −0.831130 | + | 0.195619i | ||||
\(241\) | 3.64864 | + | 1.66628i | 0.235030 | + | 0.107335i | 0.529449 | − | 0.848342i | \(-0.322399\pi\) |
−0.294419 | + | 0.955676i | \(0.595126\pi\) | |||||||
\(242\) | −7.39570 | − | 6.58676i | −0.475413 | − | 0.423413i | ||||
\(243\) | −0.142315 | + | 0.989821i | −0.00912950 | + | 0.0634971i | ||||
\(244\) | 9.83175 | + | 0.267694i | 0.629413 | + | 0.0171374i | ||||
\(245\) | 22.1092 | + | 6.49184i | 1.41250 | + | 0.414749i | ||||
\(246\) | 12.8987 | + | 2.03410i | 0.822390 | + | 0.129689i | ||||
\(247\) | −20.9280 | − | 24.1522i | −1.33161 | − | 1.53677i | ||||
\(248\) | −1.20060 | − | 11.7334i | −0.0762380 | − | 0.745070i | ||||
\(249\) | 3.06350 | + | 2.65454i | 0.194142 | + | 0.168225i | ||||
\(250\) | 0.0595541 | − | 4.37535i | 0.00376653 | − | 0.276722i | ||||
\(251\) | −10.3142 | + | 4.71034i | −0.651027 | + | 0.297314i | −0.713419 | − | 0.700738i | \(-0.752854\pi\) |
0.0623919 | + | 0.998052i | \(0.480127\pi\) | |||||||
\(252\) | −0.295570 | − | 0.201525i | −0.0186192 | − | 0.0126949i | ||||
\(253\) | 19.4982 | − | 5.82119i | 1.22584 | − | 0.365975i | ||||
\(254\) | −21.9304 | − | 6.76490i | −1.37604 | − | 0.424467i | ||||
\(255\) | 12.5249 | − | 5.71993i | 0.784339 | − | 0.358196i | ||||
\(256\) | 8.18885 | − | 13.7456i | 0.511803 | − | 0.859103i | ||||
\(257\) | −15.0869 | + | 17.4112i | −0.941095 | + | 1.08608i | 0.0550603 | + | 0.998483i | \(0.482465\pi\) |
−0.996156 | + | 0.0875990i | \(0.972081\pi\) | |||||||
\(258\) | −9.02322 | − | 10.7043i | −0.561761 | − | 0.666422i | ||||
\(259\) | 0.942109 | + | 1.08725i | 0.0585398 | + | 0.0675586i | ||||
\(260\) | 25.0936 | + | 12.2960i | 1.55624 | + | 0.762566i | ||||
\(261\) | 1.73174 | − | 5.89775i | 0.107192 | − | 0.365062i | ||||
\(262\) | 3.99520 | + | 14.3248i | 0.246824 | + | 0.884991i | ||||
\(263\) | 0.162510 | − | 1.13028i | 0.0100208 | − | 0.0696962i | −0.984197 | − | 0.177075i | \(-0.943337\pi\) |
0.994218 | + | 0.107379i | \(0.0342457\pi\) | |||||||
\(264\) | 11.6433 | − | 2.90821i | 0.716593 | − | 0.178988i | ||||
\(265\) | −11.0377 | + | 24.1693i | −0.678044 | + | 1.48471i | ||||
\(266\) | 0.818429 | − | 1.72942i | 0.0501811 | − | 0.106038i | ||||
\(267\) | 8.17253 | + | 12.7167i | 0.500151 | + | 0.778249i | ||||
\(268\) | 9.30205 | − | 7.62705i | 0.568213 | − | 0.465896i | ||||
\(269\) | −20.9038 | + | 3.00552i | −1.27453 | + | 0.183249i | −0.746160 | − | 0.665766i | \(-0.768105\pi\) |
−0.528368 | + | 0.849016i | \(0.677196\pi\) | |||||||
\(270\) | 4.28010 | − | 1.88468i | 0.260479 | − | 0.114698i | ||||
\(271\) | −4.72777 | + | 7.35656i | −0.287192 | + | 0.446879i | −0.954634 | − | 0.297783i | \(-0.903753\pi\) |
0.667442 | + | 0.744662i | \(0.267389\pi\) | |||||||
\(272\) | −5.55489 | + | 15.7014i | −0.336815 | + | 0.952037i | ||||
\(273\) | 0.212916 | + | 0.725126i | 0.0128863 | + | 0.0438866i | ||||
\(274\) | 1.24611 | + | 9.59189i | 0.0752802 | + | 0.579467i | ||||
\(275\) | 25.1849i | 1.51871i | ||||||||
\(276\) | −2.91043 | + | 9.13944i | −0.175187 | + | 0.550130i | ||||
\(277\) | − | 24.3712i | − | 1.46433i | −0.681130 | − | 0.732163i | \(-0.738511\pi\) | ||
0.681130 | − | 0.732163i | \(-0.261489\pi\) | |||||||
\(278\) | −7.12370 | + | 0.925460i | −0.427251 | + | 0.0555054i | ||||
\(279\) | 1.17483 | + | 4.00112i | 0.0703355 | + | 0.239541i | ||||
\(280\) | −0.0682921 | + | 1.67162i | −0.00408124 | + | 0.0998982i | ||||
\(281\) | 8.49103 | − | 13.2123i | 0.506533 | − | 0.788180i | −0.489970 | − | 0.871739i | \(-0.662992\pi\) |
0.996503 | + | 0.0835592i | \(0.0266288\pi\) | |||||||
\(282\) | 6.46637 | + | 14.6851i | 0.385067 | + | 0.874483i | ||||
\(283\) | 28.6312 | − | 4.11655i | 1.70195 | − | 0.244703i | 0.778286 | − | 0.627910i | \(-0.216089\pi\) |
0.923663 | + | 0.383206i | \(0.125180\pi\) | |||||||
\(284\) | −7.65708 | + | 6.27829i | −0.454364 | + | 0.372548i | ||||
\(285\) | 13.5229 | + | 21.0420i | 0.801026 | + | 1.24642i | ||||
\(286\) | −22.9163 | − | 10.8448i | −1.35507 | − | 0.641269i | ||||
\(287\) | 0.686085 | − | 1.50232i | 0.0404983 | − | 0.0886789i | ||||
\(288\) | −1.95911 | + | 5.30678i | −0.115442 | + | 0.312705i | ||||
\(289\) | 0.0479490 | − | 0.333492i | 0.00282053 | − | 0.0196172i | ||||
\(290\) | −27.6896 | + | 7.72263i | −1.62599 | + | 0.453489i | ||||
\(291\) | 0.872985 | − | 2.97311i | 0.0511753 | − | 0.174287i | ||||
\(292\) | −3.02329 | + | 6.16991i | −0.176925 | + | 0.361067i | ||||
\(293\) | −20.2139 | − | 23.3280i | −1.18091 | − | 1.36284i | −0.917295 | − | 0.398209i | \(-0.869632\pi\) |
−0.263611 | − | 0.964629i | \(-0.584914\pi\) | |||||||
\(294\) | 7.53448 | − | 6.35120i | 0.439420 | − | 0.370410i | ||||
\(295\) | −15.5253 | + | 17.9172i | −0.903919 | + | 1.04318i | ||||
\(296\) | 13.0701 | − | 18.6198i | 0.759684 | − | 1.08226i | ||||
\(297\) | −3.85955 | + | 1.76260i | −0.223954 | + | 0.102276i | ||||
\(298\) | −4.30740 | + | 13.9637i | −0.249521 | + | 0.808897i | ||||
\(299\) | 16.9966 | − | 11.0321i | 0.982937 | − | 0.638000i | ||||
\(300\) | −9.80840 | − | 6.68755i | −0.566288 | − | 0.386106i | ||||
\(301\) | −1.61069 | + | 0.735576i | −0.0928385 | + | 0.0423979i | ||||
\(302\) | 22.8801 | + | 0.311427i | 1.31660 | + | 0.0179206i | ||||
\(303\) | 6.06184 | + | 5.25262i | 0.348244 | + | 0.301755i | ||||
\(304\) | −29.6684 | − | 5.92893i | −1.70160 | − | 0.340047i | ||||
\(305\) | 10.6496 | + | 12.2903i | 0.609794 | + | 0.703740i | ||||
\(306\) | 0.917262 | − | 5.81657i | 0.0524364 | − | 0.332511i | ||||
\(307\) | −9.28475 | − | 2.72625i | −0.529908 | − | 0.155595i | 0.00582388 | − | 0.999983i | \(-0.498146\pi\) |
−0.535732 | + | 0.844388i | \(0.679964\pi\) | |||||||
\(308\) | 0.0413124 | − | 1.51730i | 0.00235399 | − | 0.0864563i | ||||
\(309\) | −0.156600 | + | 1.08917i | −0.00890864 | + | 0.0619610i | ||||
\(310\) | 12.9704 | − | 14.5634i | 0.736672 | − | 0.827144i | ||||
\(311\) | 4.76404 | + | 2.17566i | 0.270144 | + | 0.123371i | 0.545882 | − | 0.837862i | \(-0.316195\pi\) |
−0.275738 | + | 0.961233i | \(0.588922\pi\) | |||||||
\(312\) | 10.3087 | − | 6.04515i | 0.583617 | − | 0.342239i | ||||
\(313\) | −14.3562 | − | 22.3387i | −0.811462 | − | 1.26266i | −0.961726 | − | 0.274014i | \(-0.911649\pi\) |
0.150263 | − | 0.988646i | \(-0.451988\pi\) | |||||||
\(314\) | −4.76837 | + | 7.20228i | −0.269095 | + | 0.406448i | ||||
\(315\) | −0.0841790 | − | 0.585478i | −0.00474295 | − | 0.0329879i | ||||
\(316\) | 0.268249 | + | 2.31058i | 0.0150902 | + | 0.129980i | ||||
\(317\) | 18.5611 | − | 28.8816i | 1.04250 | − | 1.62215i | 0.297952 | − | 0.954581i | \(-0.403696\pi\) |
0.744543 | − | 0.667574i | \(-0.232667\pi\) | |||||||
\(318\) | 6.01260 | + | 9.64184i | 0.337170 | + | 0.540688i | ||||
\(319\) | 25.0241 | − | 7.34773i | 1.40108 | − | 0.411394i | ||||
\(320\) | 25.9070 | − | 5.35789i | 1.44825 | − | 0.299515i | ||||
\(321\) | 2.57696i | 0.143832i | ||||||||
\(322\) | 1.01456 | + | 0.665116i | 0.0565390 | + | 0.0370654i | ||||
\(323\) | 31.4937 | 1.75236 | ||||||||
\(324\) | 0.338405 | − | 1.97116i | 0.0188003 | − | 0.109509i | ||||
\(325\) | 7.06555 | + | 24.0631i | 0.391926 | + | 1.33478i | ||||
\(326\) | 14.7026 | + | 23.5772i | 0.814302 | + | 1.30582i | ||||
\(327\) | 3.42158 | + | 2.19891i | 0.189214 | + | 0.121600i | ||||
\(328\) | −25.6771 | − | 4.76883i | −1.41778 | − | 0.263315i | ||||
\(329\) | 2.00878 | − | 0.288819i | 0.110748 | − | 0.0159231i | ||||
\(330\) | 16.5455 | + | 10.9542i | 0.910800 | + | 0.603007i | ||||
\(331\) | −9.75729 | + | 6.27063i | −0.536309 | + | 0.344665i | −0.780594 | − | 0.625039i | \(-0.785083\pi\) |
0.244285 | + | 0.969704i | \(0.421447\pi\) | |||||||
\(332\) | −5.98023 | − | 5.47387i | −0.328208 | − | 0.300418i | ||||
\(333\) | −3.34121 | + | 7.31622i | −0.183097 | + | 0.400926i | ||||
\(334\) | 16.8199 | − | 18.8856i | 0.920342 | − | 1.03337i | ||||
\(335\) | 19.6872 | + | 2.83059i | 1.07563 | + | 0.154652i | ||||
\(336\) | 0.579951 | + | 0.418991i | 0.0316389 | + | 0.0228578i | ||||
\(337\) | 6.98340 | − | 23.7833i | 0.380410 | − | 1.29556i | −0.517615 | − | 0.855614i | \(-0.673180\pi\) |
0.898025 | − | 0.439945i | \(-0.145002\pi\) | |||||||
\(338\) | −6.77763 | − | 1.06882i | −0.368655 | − | 0.0581362i | ||||
\(339\) | 14.6961 | − | 12.7342i | 0.798182 | − | 0.691629i | ||||
\(340\) | −25.3519 | + | 10.7538i | −1.37490 | + | 0.583208i | ||||
\(341\) | −11.5867 | + | 13.3718i | −0.627455 | + | 0.724122i | ||||
\(342\) | 10.6958 | + | 0.145583i | 0.578362 | + | 0.00787223i | ||||
\(343\) | −1.03788 | − | 2.27264i | −0.0560404 | − | 0.122711i | ||||
\(344\) | 17.4571 | + | 21.8919i | 0.941222 | + | 1.18033i | ||||
\(345\) | −14.3962 | + | 6.65346i | −0.775067 | + | 0.358210i | ||||
\(346\) | 0.0731832 | + | 0.0225749i | 0.00393435 | + | 0.00121363i | ||||
\(347\) | 9.22784 | + | 20.2061i | 0.495376 | + | 1.08472i | 0.977945 | + | 0.208864i | \(0.0669767\pi\) |
−0.482568 | + | 0.875858i | \(0.660296\pi\) | |||||||
\(348\) | −3.78323 | + | 11.6969i | −0.202803 | + | 0.627018i | ||||
\(349\) | −6.02324 | − | 5.21916i | −0.322416 | − | 0.279375i | 0.478581 | − | 0.878044i | \(-0.341151\pi\) |
−0.800997 | + | 0.598668i | \(0.795697\pi\) | |||||||
\(350\) | −1.14801 | + | 0.967715i | −0.0613636 | + | 0.0517266i | ||||
\(351\) | −3.19314 | + | 2.76687i | −0.170437 | + | 0.147685i | ||||
\(352\) | −23.4362 | + | 5.18047i | −1.24915 | + | 0.276120i | ||||
\(353\) | −12.3201 | − | 3.61751i | −0.655733 | − | 0.192540i | −0.0630923 | − | 0.998008i | \(-0.520096\pi\) |
−0.592640 | + | 0.805467i | \(0.701914\pi\) | |||||||
\(354\) | 2.72375 | + | 9.76603i | 0.144766 | + | 0.519059i | ||||
\(355\) | −16.2057 | − | 2.33003i | −0.860110 | − | 0.123665i | ||||
\(356\) | −15.6468 | − | 25.8688i | −0.829277 | − | 1.37105i | ||||
\(357\) | −0.677459 | − | 0.309385i | −0.0358549 | − | 0.0163744i | ||||
\(358\) | −14.7533 | − | 6.98181i | −0.779736 | − | 0.369000i | ||||
\(359\) | 11.0253 | − | 7.08555i | 0.581895 | − | 0.373961i | −0.216331 | − | 0.976320i | \(-0.569409\pi\) |
0.798225 | + | 0.602359i | \(0.205773\pi\) | |||||||
\(360\) | −8.65963 | + | 3.53499i | −0.456402 | + | 0.186310i | ||||
\(361\) | 5.43792 | + | 37.8216i | 0.286206 | + | 1.99061i | ||||
\(362\) | −18.7281 | + | 8.24667i | −0.984328 | + | 0.433435i | ||||
\(363\) | −5.89123 | − | 3.78606i | −0.309209 | − | 0.198717i | ||||
\(364\) | −0.386202 | − | 1.46130i | −0.0202425 | − | 0.0765932i | ||||
\(365\) | −10.9004 | + | 3.20065i | −0.570553 | + | 0.167530i | ||||
\(366\) | 6.89672 | − | 0.895972i | 0.360497 | − | 0.0468332i | ||||
\(367\) | 35.7269 | 1.86493 | 0.932465 | − | 0.361261i | \(-0.117654\pi\) | ||||
0.932465 | + | 0.361261i | \(0.117654\pi\) | |||||||
\(368\) | 6.31621 | − | 18.1137i | 0.329255 | − | 0.944241i | ||||
\(369\) | 9.23346 | 0.480675 | ||||||||
\(370\) | 37.3013 | − | 4.84592i | 1.93920 | − | 0.251927i | ||||
\(371\) | 1.37895 | − | 0.404897i | 0.0715916 | − | 0.0210212i | ||||
\(372\) | −2.13100 | − | 8.06323i | −0.110487 | − | 0.418059i | ||||
\(373\) | −2.82182 | − | 1.81347i | −0.146108 | − | 0.0938981i | 0.465544 | − | 0.885025i | \(-0.345859\pi\) |
−0.611653 | + | 0.791126i | \(0.709495\pi\) | |||||||
\(374\) | 22.8659 | − | 10.0687i | 1.18237 | − | 0.520640i | ||||
\(375\) | −0.440340 | − | 3.06263i | −0.0227391 | − | 0.158154i | ||||
\(376\) | −12.1286 | − | 29.7112i | −0.625483 | − | 1.53224i | ||||
\(377\) | 21.8480 | − | 14.0409i | 1.12523 | − | 0.723141i | ||||
\(378\) | −0.228646 | − | 0.108204i | −0.0117603 | − | 0.00556541i | ||||
\(379\) | −22.7004 | − | 10.3669i | −1.16604 | − | 0.532514i | −0.264153 | − | 0.964481i | \(-0.585092\pi\) |
−0.901889 | + | 0.431967i | \(0.857820\pi\) | |||||||
\(380\) | −25.8903 | − | 42.8045i | −1.32815 | − | 2.19583i | ||||
\(381\) | −16.0630 | − | 2.30951i | −0.822933 | − | 0.118320i | ||||
\(382\) | 1.31884 | + | 4.72871i | 0.0674777 | + | 0.241942i | ||||
\(383\) | 1.10946 | + | 0.325768i | 0.0566909 | + | 0.0166460i | 0.309955 | − | 0.950751i | \(-0.399686\pi\) |
−0.253264 | + | 0.967397i | \(0.581504\pi\) | |||||||
\(384\) | 4.20565 | − | 10.5030i | 0.214619 | − | 0.535978i | ||||
\(385\) | 1.89672 | − | 1.64352i | 0.0966658 | − | 0.0837614i | ||||
\(386\) | −6.14426 | + | 5.17931i | −0.312735 | + | 0.263620i | ||||
\(387\) | −7.48156 | − | 6.48281i | −0.380309 | − | 0.329540i | ||||
\(388\) | −1.90716 | + | 5.89650i | −0.0968216 | + | 0.299350i | ||||
\(389\) | 4.99820 | + | 10.9445i | 0.253419 | + | 0.554910i | 0.992994 | − | 0.118164i | \(-0.0377009\pi\) |
−0.739575 | + | 0.673074i | \(0.764974\pi\) | |||||||
\(390\) | 18.8817 | + | 5.82443i | 0.956110 | + | 0.294932i | ||||
\(391\) | −2.75235 | + | 19.7781i | −0.139192 | + | 1.00022i | ||||
\(392\) | −15.4091 | + | 12.2876i | −0.778278 | + | 0.620616i | ||||
\(393\) | 4.36840 | + | 9.56547i | 0.220357 | + | 0.482514i | ||||
\(394\) | 11.1795 | + | 0.152167i | 0.563214 | + | 0.00766605i | ||||
\(395\) | −2.51866 | + | 2.90668i | −0.126727 | + | 0.146251i | ||||
\(396\) | 7.81220 | − | 3.31380i | 0.392578 | − | 0.166525i | ||||
\(397\) | 2.35523 | − | 2.04082i | 0.118206 | − | 0.102426i | −0.593752 | − | 0.804648i | \(-0.702354\pi\) |
0.711958 | + | 0.702222i | \(0.247809\pi\) | |||||||
\(398\) | −3.83097 | − | 0.604136i | −0.192029 | − | 0.0302826i | ||||
\(399\) | 0.381159 | − | 1.29811i | 0.0190818 | − | 0.0649867i | ||||
\(400\) | 19.2455 | + | 13.9041i | 0.962275 | + | 0.695203i | ||||
\(401\) | −20.9463 | − | 3.01162i | −1.04601 | − | 0.150393i | −0.402177 | − | 0.915562i | \(-0.631746\pi\) |
−0.643830 | + | 0.765169i | \(0.722656\pi\) | |||||||
\(402\) | 5.65714 | − | 6.35191i | 0.282153 | − | 0.316804i | ||||
\(403\) | −7.31917 | + | 16.0268i | −0.364594 | + | 0.798350i | ||||
\(404\) | −11.8333 | − | 10.8313i | −0.588727 | − | 0.538878i | ||||
\(405\) | 2.78195 | − | 1.78785i | 0.138236 | − | 0.0888390i | ||||
\(406\) | 1.29647 | + | 0.858345i | 0.0643427 | + | 0.0425989i | ||||
\(407\) | −33.7792 | + | 4.85672i | −1.67437 | + | 0.240738i | ||||
\(408\) | −2.15047 | + | 11.5789i | −0.106464 | + | 0.573241i | ||||
\(409\) | 6.42463 | + | 4.12886i | 0.317678 | + | 0.204159i | 0.689755 | − | 0.724043i | \(-0.257718\pi\) |
−0.372078 | + | 0.928202i | \(0.621355\pi\) | |||||||
\(410\) | −22.8493 | − | 36.6413i | −1.12845 | − | 1.80959i | ||||
\(411\) | 1.92691 | + | 6.56244i | 0.0950473 | + | 0.323701i | ||||
\(412\) | 0.372372 | − | 2.16902i | 0.0183455 | − | 0.106860i | ||||
\(413\) | 1.28233 | 0.0630995 | ||||||||
\(414\) | −1.02617 | + | 6.70425i | −0.0504335 | + | 0.329496i | ||||
\(415\) | − | 13.4049i | − | 0.658019i | ||||||
\(416\) | −20.9389 | + | 11.5247i | −1.02661 | + | 0.565043i | ||||
\(417\) | −4.87379 | + | 1.43107i | −0.238671 | + | 0.0700800i | ||||
\(418\) | 24.0157 | + | 38.5118i | 1.17465 | + | 1.88367i | ||||
\(419\) | 12.0963 | − | 18.8222i | 0.590944 | − | 0.919526i | −0.409032 | − | 0.912520i | \(-0.634134\pi\) |
0.999975 | − | 0.00700607i | \(-0.00223012\pi\) | |||||||
\(420\) | 0.136425 | + | 1.17510i | 0.00665687 | + | 0.0573392i | ||||
\(421\) | 0.932102 | + | 6.48291i | 0.0454279 | + | 0.315958i | 0.999847 | + | 0.0174884i | \(0.00556701\pi\) |
−0.954419 | + | 0.298469i | \(0.903524\pi\) | |||||||
\(422\) | −9.20434 | + | 13.9025i | −0.448060 | + | 0.676763i | ||||
\(423\) | 6.13413 | + | 9.54489i | 0.298252 | + | 0.464089i | ||||
\(424\) | −11.4959 | − | 19.6038i | −0.558290 | − | 0.952047i | ||||
\(425\) | −22.4812 | − | 10.2668i | −1.09050 | − | 0.498015i | ||||
\(426\) | −4.65674 | + | 5.22864i | −0.225620 | + | 0.253329i | ||||
\(427\) | 0.125182 | − | 0.870662i | 0.00605800 | − | 0.0421343i | ||||
\(428\) | 0.140277 | − | 5.15201i | 0.00678053 | − | 0.249032i | ||||
\(429\) | −17.2010 | − | 5.05067i | −0.830472 | − | 0.243848i | ||||
\(430\) | −7.21181 | + | 45.7317i | −0.347784 | + | 2.20538i | ||||
\(431\) | 11.9982 | + | 13.8467i | 0.577933 | + | 0.666970i | 0.967159 | − | 0.254172i | \(-0.0818031\pi\) |
−0.389226 | + | 0.921142i | \(0.627258\pi\) | |||||||
\(432\) | −0.783860 | + | 3.92244i | −0.0377135 | + | 0.188719i | ||||
\(433\) | −13.6509 | − | 11.8286i | −0.656022 | − | 0.568446i | 0.261955 | − | 0.965080i | \(-0.415633\pi\) |
−0.917977 | + | 0.396634i | \(0.870178\pi\) | |||||||
\(434\) | −1.05474 | − | 0.0143563i | −0.0506292 | − | 0.000689127i | ||||
\(435\) | −18.4898 | + | 8.44402i | −0.886519 | + | 0.404860i | ||||
\(436\) | −6.72092 | − | 4.58245i | −0.321874 | − | 0.219460i | ||||
\(437\) | −36.2742 | + | 0.164189i | −1.73523 | + | 0.00785421i | ||||
\(438\) | −1.43209 | + | 4.64254i | −0.0684278 | + | 0.221829i | ||||
\(439\) | −6.61280 | + | 3.01996i | −0.315612 | + | 0.144135i | −0.566922 | − | 0.823772i | \(-0.691866\pi\) |
0.251310 | + | 0.967907i | \(0.419139\pi\) | |||||||
\(440\) | −32.4824 | − | 22.8009i | −1.54854 | − | 1.08699i | ||||
\(441\) | 4.56307 | − | 5.26607i | 0.217289 | − | 0.250765i | ||||
\(442\) | 19.0227 | − | 16.0352i | 0.904815 | − | 0.762716i | ||||
\(443\) | 0.855099 | + | 0.986837i | 0.0406270 | + | 0.0468860i | 0.775699 | − | 0.631103i | \(-0.217397\pi\) |
−0.735072 | + | 0.677989i | \(0.762852\pi\) | |||||||
\(444\) | 7.07819 | − | 14.4451i | 0.335916 | − | 0.685536i | ||||
\(445\) | 14.0834 | − | 47.9636i | 0.667616 | − | 2.27369i | ||||
\(446\) | 21.1581 | − | 5.90101i | 1.00187 | − | 0.279421i | ||||
\(447\) | −1.47053 | + | 10.2278i | −0.0695537 | + | 0.483757i | ||||
\(448\) | −1.13667 | − | 0.869241i | −0.0537024 | − | 0.0410678i | ||||
\(449\) | −6.78879 | + | 14.8654i | −0.320383 | + | 0.701541i | −0.999471 | − | 0.0325158i | \(-0.989648\pi\) |
0.679088 | + | 0.734057i | \(0.262375\pi\) | |||||||
\(450\) | −7.58754 | − | 3.59071i | −0.357680 | − | 0.169268i | ||||
\(451\) | 21.1809 | + | 32.9581i | 0.997370 | + | 1.55194i | ||||
\(452\) | −30.0745 | + | 24.6591i | −1.41459 | + | 1.15986i | ||||
\(453\) | 16.0155 | − | 2.30268i | 0.752473 | − | 0.108189i | ||||
\(454\) | −2.70562 | − | 6.14445i | −0.126981 | − | 0.288373i | ||||
\(455\) | 1.35115 | − | 2.10243i | 0.0633428 | − | 0.0985633i | ||||
\(456\) | −21.3757 | − | 0.873283i | −1.00101 | − | 0.0408952i | ||||
\(457\) | −4.60437 | − | 15.6810i | −0.215383 | − | 0.733528i | −0.994321 | − | 0.106426i | \(-0.966059\pi\) |
0.778937 | − | 0.627102i | \(-0.215759\pi\) | |||||||
\(458\) | −9.20868 | + | 1.19633i | −0.430293 | + | 0.0559006i | ||||
\(459\) | − | 4.16376i | − | 0.194348i | ||||||
\(460\) | 29.1440 | − | 12.5183i | 1.35885 | − | 0.583670i | ||||
\(461\) | 24.8705i | 1.15833i | 0.815209 | + | 0.579166i | \(0.196622\pi\) | ||||
−0.815209 | + | 0.579166i | \(0.803378\pi\) | |||||||
\(462\) | −0.138272 | − | 1.06435i | −0.00643301 | − | 0.0495179i | ||||
\(463\) | −2.10610 | − | 7.17273i | −0.0978789 | − | 0.333345i | 0.895966 | − | 0.444122i | \(-0.146484\pi\) |
−0.993845 | + | 0.110777i | \(0.964666\pi\) | |||||||
\(464\) | 8.20038 | − | 23.1791i | 0.380693 | − | 1.07606i | ||||
\(465\) | 7.45540 | − | 11.6008i | 0.345736 | − | 0.537976i | ||||
\(466\) | −8.56156 | + | 3.76997i | −0.396607 | + | 0.174640i | ||||
\(467\) | 22.2660 | − | 3.20137i | 1.03035 | − | 0.148142i | 0.393655 | − | 0.919258i | \(-0.371210\pi\) |
0.636694 | + | 0.771116i | \(0.280301\pi\) | |||||||
\(468\) | 6.53453 | − | 5.35788i | 0.302059 | − | 0.247668i | ||||
\(469\) | −0.581627 | − | 0.905029i | −0.0268570 | − | 0.0417904i | ||||
\(470\) | 22.6975 | − | 47.9622i | 1.04696 | − | 2.21233i | ||||
\(471\) | −2.53727 | + | 5.55584i | −0.116911 | + | 0.256000i | ||||
\(472\) | −4.91387 | − | 19.6731i | −0.226179 | − | 0.905528i | ||||
\(473\) | 5.97772 | − | 41.5760i | 0.274856 | − | 1.91167i | ||||
\(474\) | 0.441871 | + | 1.58433i | 0.0202958 | + | 0.0727708i | ||||
\(475\) | 12.6486 | − | 43.0773i | 0.580359 | − | 1.97652i | ||||
\(476\) | 1.33757 | + | 0.655419i | 0.0613076 | + | 0.0300411i | ||||
\(477\) | 5.26169 | + | 6.07231i | 0.240916 | + | 0.278032i | ||||
\(478\) | 5.81270 | + | 6.89564i | 0.265867 | + | 0.315399i | ||||
\(479\) | −0.788921 | + | 0.910464i | −0.0360467 | + | 0.0416001i | −0.773487 | − | 0.633813i | \(-0.781489\pi\) |
0.737440 | + | 0.675413i | \(0.236034\pi\) | |||||||
\(480\) | 17.5053 | − | 6.59596i | 0.799002 | − | 0.301063i | ||||
\(481\) | −30.9120 | + | 14.1170i | −1.40947 | + | 0.643681i | ||||
\(482\) | −5.42055 | − | 1.67208i | −0.246899 | − | 0.0761611i | ||||
\(483\) | 0.781904 | + | 0.352815i | 0.0355779 | + | 0.0160536i | ||||
\(484\) | 11.5720 | + | 7.89001i | 0.526000 | + | 0.358637i | ||||
\(485\) | −9.32090 | + | 4.25671i | −0.423240 | + | 0.193287i | ||||
\(486\) | 0.0192474 | − | 1.41408i | 0.000873082 | − | 0.0641441i | ||||
\(487\) | −0.827950 | − | 0.717423i | −0.0375180 | − | 0.0325095i | 0.635900 | − | 0.771771i | \(-0.280629\pi\) |
−0.673418 | + | 0.739262i | \(0.735175\pi\) | |||||||
\(488\) | −13.8371 | + | 1.41586i | −0.626376 | + | 0.0640928i | ||||
\(489\) | 12.8664 | + | 14.8486i | 0.581838 | + | 0.671477i | ||||
\(490\) | −32.1893 | − | 5.07620i | −1.45417 | − | 0.229319i | ||||
\(491\) | −3.06799 | − | 0.900842i | −0.138456 | − | 0.0406544i | 0.211770 | − | 0.977319i | \(-0.432077\pi\) |
−0.350226 | + | 0.936665i | \(0.613895\pi\) | |||||||
\(492\) | −18.4601 | − | 0.502623i | −0.832245 | − | 0.0226600i | ||||
\(493\) | −3.64234 | + | 25.3331i | −0.164043 | + | 1.14094i | ||||
\(494\) | 33.7503 | + | 30.0587i | 1.51850 | + | 1.35241i | ||||
\(495\) | 12.7632 | + | 5.82876i | 0.573663 | + | 0.261983i | ||||
\(496\) | 3.82150 | + | 16.2365i | 0.171590 | + | 0.729039i | ||||
\(497\) | 0.478772 | + | 0.744984i | 0.0214759 | + | 0.0334171i | ||||
\(498\) | −4.77998 | − | 3.16465i | −0.214196 | − | 0.141811i | ||||
\(499\) | −1.40054 | − | 9.74097i | −0.0626968 | − | 0.436066i | −0.996858 | − | 0.0792136i | \(-0.974759\pi\) |
0.934161 | − | 0.356852i | \(-0.116150\pi\) | |||||||
\(500\) | 0.713640 | + | 6.14697i | 0.0319150 | + | 0.274901i | ||||
\(501\) | 9.66805 | − | 15.0438i | 0.431937 | − | 0.672106i | ||||
\(502\) | 13.6068 | − | 8.48510i | 0.607299 | − | 0.378709i | ||||
\(503\) | 1.54056 | − | 0.452348i | 0.0686900 | − | 0.0201692i | −0.247207 | − | 0.968963i | \(-0.579513\pi\) |
0.315897 | + | 0.948793i | \(0.397695\pi\) | |||||||
\(504\) | 0.451233 | + | 0.228774i | 0.0200995 | + | 0.0101904i | ||||
\(505\) | − | 26.5246i | − | 1.18033i | ||||||
\(506\) | −26.2843 | + | 11.7162i | −1.16848 | + | 0.520851i | ||||
\(507\) | −4.85174 | −0.215473 | ||||||||
\(508\) | 31.9884 | + | 5.49170i | 1.41926 | + | 0.243655i | ||||
\(509\) | 0.730130 | + | 2.48659i | 0.0323624 | + | 0.110216i | 0.974090 | − | 0.226159i | \(-0.0726170\pi\) |
−0.941728 | + | 0.336376i | \(0.890799\pi\) | |||||||
\(510\) | −16.5231 | + | 10.3037i | −0.731657 | + | 0.456257i | ||||
\(511\) | 0.516936 | + | 0.332214i | 0.0228679 | + | 0.0146963i | ||||
\(512\) | −8.97991 | + | 20.7692i | −0.396860 | + | 0.917879i | ||||
\(513\) | 7.48678 | − | 1.07644i | 0.330549 | − | 0.0475258i | ||||
\(514\) | 17.9861 | − | 27.1667i | 0.793333 | − | 1.19827i | ||||
\(515\) | 3.06119 | − | 1.96731i | 0.134892 | − | 0.0866899i | ||||
\(516\) | 14.6047 | + | 13.3681i | 0.642935 | + | 0.588496i | ||||
\(517\) | −19.9985 | + | 43.7906i | −0.879534 | + | 1.92591i | ||||
\(518\) | −1.51933 | − | 1.35315i | −0.0667556 | − | 0.0594539i | ||||
\(519\) | 0.0536032 | + | 0.00770697i | 0.00235292 | + | 0.000338299i | ||||
\(520\) | −37.4323 | − | 12.6724i | −1.64151 | − | 0.555720i | ||||
\(521\) | 6.71392 | − | 22.8655i | 0.294142 | − | 1.00176i | −0.671310 | − | 0.741177i | \(-0.734268\pi\) |
0.965452 | − | 0.260580i | \(-0.0839137\pi\) | |||||||
\(522\) | −1.35410 | + | 8.58669i | −0.0592675 | + | 0.375829i | ||||
\(523\) | −3.97687 | + | 3.44598i | −0.173896 | + | 0.150682i | −0.737461 | − | 0.675390i | \(-0.763975\pi\) |
0.563564 | + | 0.826072i | \(0.309430\pi\) | |||||||
\(524\) | −8.21288 | − | 19.3616i | −0.358781 | − | 0.845818i | ||||
\(525\) | −0.695263 | + | 0.802376i | −0.0303438 | + | 0.0350186i | ||||
\(526\) | −0.0219788 | + | 1.61475i | −0.000958320 | + | 0.0704064i | ||||
\(527\) | −7.21287 | − | 15.7940i | −0.314197 | − | 0.687996i | ||||
\(528\) | −15.7990 | + | 6.19988i | −0.687563 | + | 0.269815i | ||||
\(529\) | 3.06702 | − | 22.7946i | 0.133349 | − | 0.991069i | ||||
\(530\) | 11.0762 | − | 35.9067i | 0.481118 | − | 1.55969i | ||||
\(531\) | 2.97818 | + | 6.52131i | 0.129242 | + | 0.283001i | ||||
\(532\) | −0.832698 | + | 2.57451i | −0.0361020 | + | 0.111619i | ||||
\(533\) | 29.4837 | + | 25.5478i | 1.27708 | + | 1.10660i | ||||
\(534\) | −13.7783 | − | 16.3453i | −0.596245 | − | 0.707329i | ||||
\(535\) | 6.44033 | − | 5.58058i | 0.278440 | − | 0.241269i | ||||
\(536\) | −11.6559 | + | 12.3912i | −0.503456 | + | 0.535217i | ||||
\(537\) | −11.0738 | − | 3.25157i | −0.477871 | − | 0.140316i | ||||
\(538\) | 28.7685 | − | 8.02356i | 1.24030 | − | 0.345920i | ||||
\(539\) | 29.2642 | + | 4.20756i | 1.26050 | + | 0.181232i | ||||
\(540\) | −5.65916 | + | 3.42294i | −0.243531 | + | 0.147300i | ||||
\(541\) | −35.5464 | − | 16.2335i | −1.52826 | − | 0.697933i | −0.538760 | − | 0.842460i | \(-0.681107\pi\) |
−0.989501 | + | 0.144526i | \(0.953834\pi\) | |||||||
\(542\) | 5.29005 | − | 11.1784i | 0.227227 | − | 0.480154i | ||||
\(543\) | −12.1728 | + | 7.82296i | −0.522383 | + | 0.335715i | ||||
\(544\) | 4.92964 | − | 23.0322i | 0.211357 | − | 0.987495i | ||||
\(545\) | −1.91413 | − | 13.3131i | −0.0819924 | − | 0.570270i | ||||
\(546\) | −0.430713 | − | 0.978145i | −0.0184328 | − | 0.0418607i | ||||
\(547\) | 7.64958 | + | 4.91609i | 0.327073 | + | 0.210197i | 0.693863 | − | 0.720107i | \(-0.255907\pi\) |
−0.366791 | + | 0.930303i | \(0.619544\pi\) | |||||||
\(548\) | −3.49516 | − | 13.2249i | −0.149306 | − | 0.564940i | ||||
\(549\) | 4.71849 | − | 1.38547i | 0.201380 | − | 0.0591306i | ||||
\(550\) | −4.58852 | − | 35.3200i | −0.195655 | − | 1.50605i | ||||
\(551\) | −46.4925 | −1.98065 | ||||||||
\(552\) | 2.41653 | − | 13.3477i | 0.102854 | − | 0.568115i | ||||
\(553\) | 0.208031 | 0.00884639 | ||||||||
\(554\) | 4.44028 | + | 34.1789i | 0.188649 | + | 1.45212i | ||||
\(555\) | 25.5203 | − | 7.49343i | 1.08328 | − | 0.318078i | ||||
\(556\) | 9.82187 | − | 2.59578i | 0.416540 | − | 0.110086i | ||||
\(557\) | 5.65606 | + | 3.63493i | 0.239655 | + | 0.154017i | 0.654956 | − | 0.755667i | \(-0.272687\pi\) |
−0.415301 | + | 0.909684i | \(0.636324\pi\) | |||||||
\(558\) | −2.37660 | − | 5.39724i | −0.100609 | − | 0.228483i | ||||
\(559\) | −5.95257 | − | 41.4010i | −0.251767 | − | 1.75108i | ||||
\(560\) | −0.208783 | − | 2.35676i | −0.00882268 | − | 0.0995915i | ||||
\(561\) | 14.8622 | − | 9.55138i | 0.627484 | − | 0.403260i | ||||
\(562\) | −9.50087 | + | 20.0763i | −0.400770 | + | 0.846868i | ||||
\(563\) | −24.8331 | − | 11.3409i | −1.04659 | − | 0.477962i | −0.183505 | − | 0.983019i | \(-0.558744\pi\) |
−0.863086 | + | 0.505056i | \(0.831472\pi\) | |||||||
\(564\) | −11.7441 | − | 19.4166i | −0.494517 | − | 0.817587i | ||||
\(565\) | −63.6507 | − | 9.15159i | −2.67781 | − | 0.385010i | ||||
\(566\) | −39.4032 | + | 10.9896i | −1.65624 | + | 0.461927i | ||||
\(567\) | −0.171622 | − | 0.0503928i | −0.00720745 | − | 0.00211630i | ||||
\(568\) | 9.59464 | − | 10.1999i | 0.402582 | − | 0.427979i | ||||
\(569\) | 14.6073 | − | 12.6573i | 0.612369 | − | 0.530621i | −0.292525 | − | 0.956258i | \(-0.594495\pi\) |
0.904894 | + | 0.425637i | \(0.139950\pi\) | |||||||
\(570\) | −22.7986 | − | 27.0461i | −0.954928 | − | 1.13284i | ||||
\(571\) | 13.1699 | + | 11.4118i | 0.551144 | + | 0.477569i | 0.885346 | − | 0.464932i | \(-0.153921\pi\) |
−0.334202 | + | 0.942501i | \(0.608467\pi\) | |||||||
\(572\) | 34.1143 | + | 11.0339i | 1.42639 | + | 0.461352i | ||||
\(573\) | 1.44203 | + | 3.15761i | 0.0602418 | + | 0.131911i | ||||
\(574\) | −0.688473 | + | 2.23189i | −0.0287363 | + | 0.0931574i | ||||
\(575\) | 25.9472 | + | 11.7080i | 1.08207 | + | 0.488259i | ||||
\(576\) | 1.78066 | − | 7.79931i | 0.0741940 | − | 0.324971i | ||||
\(577\) | 16.1857 | + | 35.4417i | 0.673819 | + | 1.47546i | 0.869062 | + | 0.494702i | \(0.164723\pi\) |
−0.195244 | + | 0.980755i | \(0.562550\pi\) | |||||||
\(578\) | −0.00648488 | + | 0.476435i | −0.000269736 | + | 0.0198171i | ||||
\(579\) | −3.72112 | + | 4.29440i | −0.154644 | + | 0.178469i | ||||
\(580\) | 37.4256 | − | 15.8753i | 1.55401 | − | 0.659186i | ||||
\(581\) | −0.547961 | + | 0.474811i | −0.0227332 | + | 0.0196985i | ||||
\(582\) | −0.682617 | + | 4.32863i | −0.0282954 | + | 0.179427i | ||||
\(583\) | −9.60471 | + | 32.7106i | −0.397787 | + | 1.35474i | ||||
\(584\) | 3.11583 | − | 9.20369i | 0.128934 | − | 0.380851i | ||||
\(585\) | 13.8299 | + | 1.98844i | 0.571797 | + | 0.0822119i | ||||
\(586\) | 32.5987 | + | 29.0331i | 1.34664 | + | 1.19934i | ||||
\(587\) | −5.15738 | + | 11.2931i | −0.212868 | + | 0.466116i | −0.985703 | − | 0.168491i | \(-0.946111\pi\) |
0.772835 | + | 0.634607i | \(0.218838\pi\) | |||||||
\(588\) | −9.40942 | + | 10.2798i | −0.388038 | + | 0.423934i | ||||
\(589\) | 26.5341 | − | 17.0524i | 1.09332 | − | 0.702633i | ||||
\(590\) | 18.5088 | − | 27.9562i | 0.761994 | − | 1.15094i | ||||
\(591\) | 7.82534 | − | 1.12511i | 0.321892 | − | 0.0462810i | ||||
\(592\) | −14.9375 | + | 28.4943i | −0.613926 | + | 1.17111i | ||||
\(593\) | −9.75485 | − | 6.26906i | −0.400584 | − | 0.257440i | 0.324802 | − | 0.945782i | \(-0.394702\pi\) |
−0.725386 | + | 0.688342i | \(0.758339\pi\) | |||||||
\(594\) | 5.09161 | − | 3.17510i | 0.208911 | − | 0.130276i | ||||
\(595\) | 0.693868 | + | 2.36310i | 0.0284458 | + | 0.0968775i | ||||
\(596\) | 3.49672 | − | 20.3679i | 0.143231 | − | 0.834302i | ||||
\(597\) | −2.74238 | −0.112238 | ||||||||
\(598\) | −21.8265 | + | 18.5683i | −0.892553 | + | 0.759316i | ||||
\(599\) | 5.72871i | 0.234069i | 0.993128 | + | 0.117034i | \(0.0373387\pi\) | ||||
−0.993128 | + | 0.117034i | \(0.962661\pi\) | |||||||
\(600\) | 14.9740 | + | 7.59179i | 0.611311 | + | 0.309933i | ||||
\(601\) | 5.57034 | − | 1.63560i | 0.227219 | − | 0.0667175i | −0.166141 | − | 0.986102i | \(-0.553131\pi\) |
0.393360 | + | 0.919384i | \(0.371313\pi\) | |||||||
\(602\) | 2.12486 | − | 1.32505i | 0.0866027 | − | 0.0540050i | ||||
\(603\) | 3.25172 | − | 5.05977i | 0.132420 | − | 0.206050i | ||||
\(604\) | −32.1444 | + | 3.73185i | −1.30794 | + | 0.151847i | ||||
\(605\) | 3.29573 | + | 22.9223i | 0.133990 | + | 0.931924i | ||||
\(606\) | −9.45829 | − | 6.26199i | −0.384217 | − | 0.254376i | ||||
\(607\) | 1.00466 | + | 1.56329i | 0.0407780 | + | 0.0634519i | 0.861044 | − | 0.508530i | \(-0.169811\pi\) |
−0.820266 | + | 0.571982i | \(0.806175\pi\) | |||||||
\(608\) | 42.6881 | + | 2.90950i | 1.73123 | + | 0.117996i | ||||
\(609\) | 1.00010 | + | 0.456729i | 0.0405259 | + | 0.0185076i | ||||
\(610\) | −17.1745 | − | 15.2960i | −0.695375 | − | 0.619315i | ||||
\(611\) | −6.82236 | + | 47.4505i | −0.276003 | + | 1.91964i | ||||
\(612\) | −0.226654 | + | 8.32444i | −0.00916195 | + | 0.336496i | ||||
\(613\) | −10.1466 | − | 2.97931i | −0.409817 | − | 0.120333i | 0.0703243 | − | 0.997524i | \(-0.477597\pi\) |
−0.480142 | + | 0.877191i | \(0.659415\pi\) | |||||||
\(614\) | 13.5179 | + | 2.13175i | 0.545538 | + | 0.0860303i | ||||
\(615\) | −19.9957 | − | 23.0762i | −0.806303 | − | 0.930523i | ||||
\(616\) | 0.218505 | + | 2.13543i | 0.00880380 | + | 0.0860391i | ||||
\(617\) | −1.35758 | − | 1.17635i | −0.0546541 | − | 0.0473581i | 0.627105 | − | 0.778934i | \(-0.284240\pi\) |
−0.681760 | + | 0.731576i | \(0.738785\pi\) | |||||||
\(618\) | 0.0211794 | − | 1.55602i | 0.000851960 | − | 0.0625923i | ||||
\(619\) | 32.2714 | − | 14.7378i | 1.29710 | − | 0.592364i | 0.357264 | − | 0.934003i | \(-0.383710\pi\) |
0.939831 | + | 0.341640i | \(0.110982\pi\) | |||||||
\(620\) | −15.5368 | + | 22.7872i | −0.623971 | + | 0.915157i | ||||
\(621\) | 0.0217073 | + | 4.79578i | 0.000871083 | + | 0.192448i | ||||
\(622\) | −7.07762 | − | 2.18324i | −0.283787 | − | 0.0875398i | ||||
\(623\) | −2.45949 | + | 1.12321i | −0.0985373 | + | 0.0450005i | ||||
\(624\) | −13.3559 | + | 10.3561i | −0.534663 | + | 0.414575i | ||||
\(625\) | 12.7346 | − | 14.6965i | 0.509384 | − | 0.587860i | ||||
\(626\) | 24.2036 | + | 28.7129i | 0.967369 | + | 1.14760i | ||||
\(627\) | 21.0164 | + | 24.2542i | 0.839314 | + | 0.968620i | ||||
\(628\) | 5.37509 | − | 10.9695i | 0.214489 | − | 0.437729i | ||||
\(629\) | 9.43505 | − | 32.1328i | 0.376200 | − | 1.28122i | ||||
\(630\) | 0.224725 | + | 0.805754i | 0.00895327 | + | 0.0321020i | ||||
\(631\) | −1.86624 | + | 12.9800i | −0.0742938 | + | 0.516725i | 0.918361 | + | 0.395744i | \(0.129513\pi\) |
−0.992655 | + | 0.120981i | \(0.961396\pi\) | |||||||
\(632\) | −0.797172 | − | 3.19154i | −0.0317098 | − | 0.126953i | ||||
\(633\) | −4.89767 | + | 10.7244i | −0.194665 | + | 0.426256i | ||||
\(634\) | −20.7686 | + | 43.8862i | −0.824826 | + | 1.74294i | ||||
\(635\) | 29.0136 | + | 45.1460i | 1.15137 | + | 1.79156i | ||||
\(636\) | −10.1889 | − | 12.4265i | −0.404017 | − | 0.492744i | ||||
\(637\) | 29.1411 | − | 4.18985i | 1.15461 | − | 0.166008i | ||||
\(638\) | −33.7558 | + | 14.8639i | −1.33640 | + | 0.588467i | ||||
\(639\) | −2.67669 | + | 4.16501i | −0.105888 | + | 0.164765i | ||||
\(640\) | −35.3566 | + | 12.2341i | −1.39759 | + | 0.483597i | ||||
\(641\) | −4.57020 | − | 15.5647i | −0.180512 | − | 0.614767i | −0.999180 | − | 0.0404996i | \(-0.987105\pi\) |
0.818668 | − | 0.574268i | \(-0.194713\pi\) | |||||||
\(642\) | −0.469505 | − | 3.61400i | −0.0185299 | − | 0.142633i | ||||
\(643\) | 42.1040i | 1.66042i | 0.557450 | + | 0.830210i | \(0.311780\pi\) | ||||
−0.557450 | + | 0.830210i | \(0.688220\pi\) | |||||||
\(644\) | −1.54402 | − | 0.747932i | −0.0608430 | − | 0.0294726i | ||||
\(645\) | 32.7368i | 1.28901i | ||||||||
\(646\) | −44.1677 | + | 5.73795i | −1.73775 | + | 0.225757i | ||||
\(647\) | 3.74743 | + | 12.7626i | 0.147327 | + | 0.501748i | 0.999778 | − | 0.0210577i | \(-0.00670336\pi\) |
−0.852452 | + | 0.522806i | \(0.824885\pi\) | |||||||
\(648\) | −0.115456 | + | 2.82607i | −0.00453554 | + | 0.111019i | ||||
\(649\) | −16.4456 | + | 25.5898i | −0.645546 | + | 1.00449i | ||||
\(650\) | −14.2931 | − | 32.4594i | −0.560620 | − | 1.27316i | ||||
\(651\) | −0.738291 | + | 0.106150i | −0.0289359 | + | 0.00416036i | ||||
\(652\) | −24.9149 | − | 30.3866i | −0.975744 | − | 1.19003i | ||||
\(653\) | 16.0052 | + | 24.9046i | 0.626333 | + | 0.974593i | 0.998914 | + | 0.0465937i | \(0.0148366\pi\) |
−0.372581 | + | 0.928000i | \(0.621527\pi\) | |||||||
\(654\) | −5.19914 | − | 2.46043i | −0.203303 | − | 0.0962105i | ||||
\(655\) | 14.4459 | − | 31.6322i | 0.564449 | − | 1.23597i | ||||
\(656\) | 36.8791 | + | 2.00975i | 1.43989 | + | 0.0784674i | ||||
\(657\) | −0.488910 | + | 3.40044i | −0.0190742 | + | 0.132664i | ||||
\(658\) | −2.76455 | + | 0.771034i | −0.107773 | + | 0.0300580i | ||||
\(659\) | −9.86294 | + | 33.5901i | −0.384206 | + | 1.30848i | 0.509748 | + | 0.860324i | \(0.329739\pi\) |
−0.893953 | + | 0.448160i | \(0.852079\pi\) | |||||||
\(660\) | −25.1997 | − | 12.3480i | −0.980895 | − | 0.480644i | ||||
\(661\) | −2.44146 | − | 2.81759i | −0.0949617 | − | 0.109592i | 0.706280 | − | 0.707933i | \(-0.250372\pi\) |
−0.801241 | + | 0.598341i | \(0.795827\pi\) | |||||||
\(662\) | 12.5414 | − | 10.5718i | 0.487437 | − | 0.410886i | ||||
\(663\) | 11.5206 | − | 13.2955i | 0.447423 | − | 0.516354i | ||||
\(664\) | 9.38415 | + | 6.58716i | 0.364176 | + | 0.255631i | ||||
\(665\) | −4.06965 | + | 1.85855i | −0.157814 | + | 0.0720714i | ||||
\(666\) | 3.35283 | − | 10.8692i | 0.129920 | − | 0.421174i | ||||
\(667\) | 4.06315 | − | 29.1974i | 0.157326 | − | 1.13053i | ||||
\(668\) | −20.1478 | + | 29.5501i | −0.779543 | + | 1.14333i | ||||
\(669\) | 14.1284 | − | 6.45224i | 0.546237 | − | 0.249458i | ||||
\(670\) | −28.1256 | − | 0.382824i | −1.08659 | − | 0.0147898i | ||||
\(671\) | 15.7692 | + | 13.6641i | 0.608765 | + | 0.527498i | ||||
\(672\) | −0.889678 | − | 0.481941i | −0.0343201 | − | 0.0185913i | ||||
\(673\) | −14.1613 | − | 16.3430i | −0.545877 | − | 0.629976i | 0.414040 | − | 0.910258i | \(-0.364117\pi\) |
−0.959917 | + | 0.280283i | \(0.909572\pi\) | |||||||
\(674\) | −5.46057 | + | 34.6267i | −0.210333 | + | 1.33377i | ||||
\(675\) | −5.69522 | − | 1.67227i | −0.219209 | − | 0.0643656i | ||||
\(676\) | 9.69988 | + | 0.264104i | 0.373072 | + | 0.0101578i | ||||
\(677\) | 3.71440 | − | 25.8342i | 0.142756 | − | 0.992889i | −0.784945 | − | 0.619565i | \(-0.787309\pi\) |
0.927701 | − | 0.373324i | \(-0.121782\pi\) | |||||||
\(678\) | −18.2901 | + | 20.5364i | −0.702428 | + | 0.788695i | ||||
\(679\) | 0.504158 | + | 0.230241i | 0.0193478 | + | 0.00883585i | ||||
\(680\) | 33.5949 | − | 19.7004i | 1.28831 | − | 0.755477i | ||||
\(681\) | −2.56661 | − | 3.99372i | −0.0983527 | − | 0.153040i | ||||
\(682\) | 13.8133 | − | 20.8640i | 0.528938 | − | 0.798923i | ||||
\(683\) | −6.40925 | − | 44.5773i | −0.245243 | − | 1.70570i | −0.625006 | − | 0.780620i | \(-0.714904\pi\) |
0.379763 | − | 0.925084i | \(-0.376005\pi\) | |||||||
\(684\) | −15.0266 | + | 1.74453i | −0.574556 | + | 0.0667038i | ||||
\(685\) | 12.2280 | − | 19.0271i | 0.467207 | − | 0.726989i | ||||
\(686\) | 1.86962 | + | 2.99813i | 0.0713823 | + | 0.114469i | ||||
\(687\) | −6.30026 | + | 1.84992i | −0.240370 | + | 0.0705790i | ||||
\(688\) | −28.4709 | − | 27.5212i | −1.08544 | − | 1.04924i | ||||
\(689\) | 33.9482i | 1.29332i | ||||||||
\(690\) | 18.9775 | − | 11.9539i | 0.722460 | − | 0.455077i | ||||
\(691\) | −35.4931 | −1.35022 | −0.675110 | − | 0.737717i | \(-0.735904\pi\) | ||||
−0.675110 | + | 0.737717i | \(0.735904\pi\) | |||||||
\(692\) | −0.106747 | − | 0.0183261i | −0.00405792 | − | 0.000696655i | ||||
\(693\) | −0.213816 | − | 0.728190i | −0.00812219 | − | 0.0276616i | ||||
\(694\) | −16.6228 | − | 26.6564i | −0.630993 | − | 1.01186i | ||||
\(695\) | 14.1311 | + | 9.08148i | 0.536021 | + | 0.344480i | ||||
\(696\) | 3.17462 | − | 17.0933i | 0.120334 | − | 0.647920i | ||||
\(697\) | −38.0546 | + | 5.47143i | −1.44142 | + | 0.207245i | ||||
\(698\) | 9.39806 | + | 6.22211i | 0.355722 | + | 0.235510i | ||||
\(699\) | −5.56478 | + | 3.57627i | −0.210479 | + | 0.135267i | ||||
\(700\) | 1.43369 | − | 1.56631i | 0.0541883 | − | 0.0592010i | ||||
\(701\) | −17.7785 | + | 38.9295i | −0.671485 | + | 1.47035i | 0.199936 | + | 0.979809i | \(0.435927\pi\) |
−0.871420 | + | 0.490537i | \(0.836801\pi\) | |||||||
\(702\) | 3.97405 | − | 4.46211i | 0.149991 | − | 0.168411i | ||||
\(703\) | 60.2165 | + | 8.65783i | 2.27111 | + | 0.326536i | ||||
\(704\) | 31.9238 | − | 11.5352i | 1.20317 | − | 0.434748i | ||||
\(705\) | 10.5707 | − | 36.0005i | 0.398115 | − | 1.35586i | ||||
\(706\) | 17.9371 | + | 2.82865i | 0.675073 | + | 0.106458i | ||||
\(707\) | −1.08427 | + | 0.939522i | −0.0407780 | + | 0.0353344i | ||||
\(708\) | −5.59917 | − | 13.1999i | −0.210430 | − | 0.496083i | ||||
\(709\) | 8.22086 | − | 9.48737i | 0.308741 | − | 0.356306i | −0.580081 | − | 0.814559i | \(-0.696979\pi\) |
0.888822 | + | 0.458253i | \(0.151525\pi\) | |||||||
\(710\) | 23.1519 | + | 0.315126i | 0.868874 | + | 0.0118265i | ||||
\(711\) | 0.483147 | + | 1.05795i | 0.0181194 | + | 0.0396760i | ||||
\(712\) | 26.6566 | + | 33.4285i | 0.998998 | + | 1.25278i | ||||
\(713\) | 8.39005 | + | 18.1537i | 0.314210 | + | 0.679863i | ||||
\(714\) | 1.00646 | + | 0.310462i | 0.0376657 | + | 0.0116187i | ||||
\(715\) | 24.6273 | + | 53.9262i | 0.921008 | + | 2.01673i | ||||
\(716\) | 21.9625 | + | 7.10354i | 0.820776 | + | 0.265472i | ||||
\(717\) | 4.81957 | + | 4.17618i | 0.179990 | + | 0.155962i | ||||
\(718\) | −14.1713 | + | 11.9457i | −0.528868 | + | 0.445810i | ||||
\(719\) | −2.41831 | + | 2.09548i | −0.0901878 | + | 0.0781482i | −0.698788 | − | 0.715329i | \(-0.746277\pi\) |
0.608600 | + | 0.793477i | \(0.291731\pi\) | |||||||
\(720\) | 11.5005 | − | 6.53529i | 0.428597 | − | 0.243556i | ||||
\(721\) | −0.188849 | − | 0.0554510i | −0.00703309 | − | 0.00206510i | ||||
\(722\) | −14.5171 | − | 52.0513i | −0.540272 | − | 1.93715i | ||||
\(723\) | −3.97029 | − | 0.570842i | −0.147657 | − | 0.0212298i | ||||
\(724\) | 24.7624 | − | 14.9775i | 0.920286 | − | 0.556635i | ||||
\(725\) | 33.1878 | + | 15.1564i | 1.23257 | + | 0.562894i | ||||
\(726\) | 8.95182 | + | 4.23634i | 0.332233 | + | 0.157225i | ||||
\(727\) | −19.4733 | + | 12.5147i | −0.722226 | + | 0.464146i | −0.849410 | − | 0.527733i | \(-0.823042\pi\) |
0.127185 | + | 0.991879i | \(0.459406\pi\) | |||||||
\(728\) | 0.807861 | + | 1.97901i | 0.0299413 | + | 0.0733470i | ||||
\(729\) | −0.142315 | − | 0.989821i | −0.00527092 | − | 0.0366601i | ||||
\(730\) | 14.7039 | − | 6.47466i | 0.544216 | − | 0.239638i | ||||
\(731\) | 34.6758 | + | 22.2848i | 1.28253 | + | 0.824233i | ||||
\(732\) | −9.50891 | + | 2.51307i | −0.351459 | + | 0.0928858i | ||||
\(733\) | −19.2153 | + | 5.64213i | −0.709734 | + | 0.208397i | −0.616623 | − | 0.787259i | \(-0.711500\pi\) |
−0.0931117 | + | 0.995656i | \(0.529681\pi\) | |||||||
\(734\) | −50.1044 | + | 6.50921i | −1.84939 | + | 0.240259i | ||||
\(735\) | −23.0426 | −0.849938 | ||||||||
\(736\) | −5.55784 | + | 26.5539i | −0.204865 | + | 0.978790i | ||||
\(737\) | 25.5197 | 0.940031 | ||||||||
\(738\) | −12.9493 | + | 1.68228i | −0.476669 | + | 0.0619254i | ||||
\(739\) | 16.1210 | − | 4.73355i | 0.593021 | − | 0.174127i | 0.0285679 | − | 0.999592i | \(-0.490905\pi\) |
0.564453 | + | 0.825465i | \(0.309087\pi\) | |||||||
\(740\) | −51.4295 | + | 13.5921i | −1.89059 | + | 0.499656i | ||||
\(741\) | 26.8847 | + | 17.2777i | 0.987634 | + | 0.634714i | ||||
\(742\) | −1.86011 | + | 0.819075i | −0.0682868 | + | 0.0300692i | ||||
\(743\) | 0.358404 | + | 2.49275i | 0.0131486 | + | 0.0914503i | 0.995339 | − | 0.0964378i | \(-0.0307449\pi\) |
−0.982190 | + | 0.187888i | \(0.939836\pi\) | |||||||
\(744\) | 4.45764 | + | 10.9198i | 0.163425 | + | 0.400341i | ||||
\(745\) | 28.7457 | − | 18.4737i | 1.05316 | − | 0.676826i | ||||
\(746\) | 4.28780 | + | 2.02915i | 0.156988 | + | 0.0742925i | ||||
\(747\) | −3.68728 | − | 1.68392i | −0.134910 | − | 0.0616115i | ||||
\(748\) | −30.2334 | + | 18.2867i | −1.10544 | + | 0.668627i | ||||
\(749\) | −0.456243 | − | 0.0655978i | −0.0166708 | − | 0.00239689i | ||||
\(750\) | 1.17554 | + | 4.21490i | 0.0429246 | + | 0.153906i | ||||
\(751\) | −15.5777 | − | 4.57403i | −0.568439 | − | 0.166909i | −0.0151308 | − | 0.999886i | \(-0.504816\pi\) |
−0.553308 | + | 0.832977i | \(0.686635\pi\) | |||||||
\(752\) | 22.4226 | + | 39.4582i | 0.817669 | + | 1.43889i | ||||
\(753\) | 8.56936 | − | 7.42539i | 0.312285 | − | 0.270596i | ||||
\(754\) | −28.0821 | + | 23.6719i | −1.02269 | + | 0.862078i | ||||
\(755\) | −40.4374 | − | 35.0392i | −1.47167 | − | 1.27521i | ||||
\(756\) | 0.340374 | + | 0.110090i | 0.0123793 | + | 0.00400395i | ||||
\(757\) | 13.6094 | + | 29.8005i | 0.494643 | + | 1.08312i | 0.978174 | + | 0.207789i | \(0.0666269\pi\) |
−0.483531 | + | 0.875327i | \(0.660646\pi\) | |||||||
\(758\) | 33.7245 | + | 10.4030i | 1.22493 | + | 0.377855i | ||||
\(759\) | −17.0684 | + | 11.0787i | −0.619543 | + | 0.402130i | ||||
\(760\) | 44.1080 | + | 55.3133i | 1.59997 | + | 2.00642i | ||||
\(761\) | −14.7474 | − | 32.2923i | −0.534593 | − | 1.17060i | −0.963613 | − | 0.267301i | \(-0.913868\pi\) |
0.429020 | − | 0.903295i | \(-0.358859\pi\) | |||||||
\(762\) | 22.9480 | + | 0.312351i | 0.831318 | + | 0.0113153i | ||||
\(763\) | −0.476409 | + | 0.549805i | −0.0172472 | + | 0.0199043i | ||||
\(764\) | −2.71112 | − | 6.39139i | −0.0980847 | − | 0.231232i | ||||
\(765\) | −10.4061 | + | 9.01690i | −0.376232 | + | 0.326007i | ||||
\(766\) | −1.61530 | − | 0.254729i | −0.0583630 | − | 0.00920374i | ||||
\(767\) | −8.53388 | + | 29.0637i | −0.308141 | + | 1.04943i | ||||
\(768\) | −3.98455 | + | 15.4959i | −0.143780 | + | 0.559161i | ||||
\(769\) | 15.5160 | + | 2.23086i | 0.559520 | + | 0.0804468i | 0.416272 | − | 0.909240i | \(-0.363336\pi\) |
0.143248 | + | 0.989687i | \(0.454245\pi\) | |||||||
\(770\) | −2.36058 | + | 2.65048i | −0.0850692 | + | 0.0955168i | ||||
\(771\) | 9.57047 | − | 20.9564i | 0.344672 | − | 0.754727i | ||||
\(772\) | 7.67325 | − | 8.38306i | 0.276166 | − | 0.301713i | ||||
\(773\) | 10.3561 | − | 6.65544i | 0.372482 | − | 0.239380i | −0.340985 | − | 0.940069i | \(-0.610760\pi\) |
0.713467 | + | 0.700689i | \(0.247124\pi\) | |||||||
\(774\) | 11.6735 | + | 7.72858i | 0.419594 | + | 0.277798i | ||||
\(775\) | −24.5000 | + | 3.52256i | −0.880064 | + | 0.126534i | ||||
\(776\) | 1.60036 | − | 8.61689i | 0.0574495 | − | 0.309329i | ||||
\(777\) | −1.21026 | − | 0.777788i | −0.0434179 | − | 0.0279030i | ||||
\(778\) | −9.00364 | − | 14.4383i | −0.322796 | − | 0.517638i | ||||
\(779\) | −19.6761 | − | 67.0107i | −0.704970 | − | 2.40091i | ||||
\(780\) | −27.5413 | − | 4.72824i | −0.986138 | − | 0.169298i | ||||
\(781\) | −21.0068 | −0.751683 | ||||||||
\(782\) | 0.256532 | − | 28.2388i | 0.00917357 | − | 1.00982i | ||||
\(783\) | 6.14674i | 0.219666i | ||||||||
\(784\) | 19.3715 | − | 20.0399i | 0.691838 | − | 0.715710i | ||||
\(785\) | 19.3798 | − | 5.69041i | 0.691693 | − | 0.203099i | ||||
\(786\) | −7.86914 | − | 12.6190i | −0.280683 | − | 0.450105i | ||||
\(787\) | −2.06435 | + | 3.21219i | −0.0735860 | + | 0.114502i | −0.876096 | − | 0.482136i | \(-0.839861\pi\) |
0.802510 | + | 0.596638i | \(0.203497\pi\) | |||||||
\(788\) | −15.7061 | + | 1.82342i | −0.559508 | + | 0.0649568i | ||||
\(789\) | 0.162510 | + | 1.13028i | 0.00578551 | + | 0.0402391i | ||||
\(790\) | 3.00266 | − | 4.53530i | 0.106830 | − | 0.161359i | ||||
\(791\) | 1.88046 | + | 2.92605i | 0.0668615 | + | 0.104038i | ||||
\(792\) | −10.3523 | + | 6.07070i | −0.367853 | + | 0.215713i | ||||
\(793\) | 18.9002 | + | 8.63145i | 0.671168 | + | 0.306512i | ||||
\(794\) | −2.93122 | + | 3.29121i | −0.104025 | + | 0.116801i | ||||
\(795\) | 3.78136 | − | 26.3000i | 0.134111 | − | 0.932764i | ||||
\(796\) | 5.48272 | + | 0.149281i | 0.194330 | + | 0.00529113i | ||||
\(797\) | 4.26194 | + | 1.25142i | 0.150966 | + | 0.0443275i | 0.356342 | − | 0.934356i | \(-0.384024\pi\) |
−0.205377 | + | 0.978683i | \(0.565842\pi\) | |||||||
\(798\) | −0.298042 | + | 1.88995i | −0.0105506 | + | 0.0669035i | ||||
\(799\) | −30.9371 | − | 35.7033i | −1.09447 | − | 1.26309i | ||||
\(800\) | −29.5237 | − | 15.9931i | −1.04382 | − | 0.565440i | ||||
\(801\) | −11.4242 | − | 9.89912i | −0.403654 | − | 0.349768i | ||||
\(802\) | 29.9243 | + | 0.407308i | 1.05667 | + | 0.0143825i | ||||
\(803\) | −13.2591 | + | 6.05525i | −0.467905 | + | 0.213685i | ||||
\(804\) | −6.77646 | + | 9.93879i | −0.238987 | + | 0.350514i | ||||
\(805\) | −0.811510 | − | 2.71817i | −0.0286020 | − | 0.0958031i | ||||
\(806\) | 7.34465 | − | 23.8099i | 0.258704 | − | 0.838667i | ||||
\(807\) | 19.2103 | − | 8.77306i | 0.676235 | − | 0.308826i | ||||
\(808\) | 18.5687 | + | 13.0342i | 0.653245 | + | 0.458542i | ||||
\(809\) | −34.0735 | + | 39.3229i | −1.19796 | + | 1.38252i | −0.293501 | + | 0.955959i | \(0.594820\pi\) |
−0.904459 | + | 0.426561i | \(0.859725\pi\) | |||||||
\(810\) | −3.57575 | + | 3.01419i | −0.125639 | + | 0.105908i | ||||
\(811\) | 1.15473 | + | 1.33263i | 0.0405482 | + | 0.0467951i | 0.775661 | − | 0.631149i | \(-0.217416\pi\) |
−0.735113 | + | 0.677944i | \(0.762871\pi\) | |||||||
\(812\) | −1.97459 | − | 0.967559i | −0.0692945 | − | 0.0339547i | ||||
\(813\) | 2.46368 | − | 8.39053i | 0.0864051 | − | 0.294269i | ||||
\(814\) | 46.4880 | − | 12.9655i | 1.62941 | − | 0.454442i | ||||
\(815\) | 9.24656 | − | 64.3112i | 0.323893 | − | 2.25272i | ||||
\(816\) | 0.906281 | − | 16.6304i | 0.0317262 | − | 0.582180i | ||||
\(817\) | −31.1053 | + | 68.1111i | −1.08824 | + | 2.38291i | ||||
\(818\) | −9.76233 | − | 4.61990i | −0.341332 | − | 0.161531i | ||||
\(819\) | −0.408583 | − | 0.635768i | −0.0142770 | − | 0.0222155i | ||||
\(820\) | 38.7204 | + | 47.2238i | 1.35217 | + | 1.64913i | ||||
\(821\) | −11.3410 | + | 1.63058i | −0.395802 | + | 0.0569078i | −0.337342 | − | 0.941382i | \(-0.609528\pi\) |
−0.0584597 | + | 0.998290i | \(0.518619\pi\) | |||||||
\(822\) | −3.89798 | − | 8.85228i | −0.135958 | − | 0.308759i | ||||
\(823\) | 20.6813 | − | 32.1807i | 0.720903 | − | 1.12175i | −0.266548 | − | 0.963822i | \(-0.585883\pi\) |
0.987451 | − | 0.157926i | \(-0.0504807\pi\) | |||||||
\(824\) | −0.127045 | + | 3.10974i | −0.00442582 | + | 0.108333i | ||||
\(825\) | −7.09540 | − | 24.1647i | −0.247030 | − | 0.841308i | ||||
\(826\) | −1.79838 | + | 0.233632i | −0.0625736 | + | 0.00812911i | ||||
\(827\) | − | 48.0735i | − | 1.67168i | −0.548973 | − | 0.835840i | \(-0.684981\pi\) | ||
0.548973 | − | 0.835840i | \(-0.315019\pi\) | |||||||
\(828\) | 0.217660 | − | 9.58919i | 0.00756420 | − | 0.333247i | ||||
\(829\) | − | 18.3960i | − | 0.638920i | −0.947600 | − | 0.319460i | \(-0.896498\pi\) | ||
0.947600 | − | 0.319460i | \(-0.103502\pi\) | |||||||
\(830\) | 2.44228 | + | 18.7994i | 0.0847727 | + | 0.652536i | ||||
\(831\) | 6.86617 | + | 23.3840i | 0.238185 | + | 0.811183i | ||||
\(832\) | 27.2656 | − | 19.9775i | 0.945264 | − | 0.692594i | ||||
\(833\) | −15.6857 | + | 24.4074i | −0.543477 | + | 0.845666i | ||||
\(834\) | 6.57441 | − | 2.89495i | 0.227653 | − | 0.100244i | ||||
\(835\) | −58.5341 | + | 8.41594i | −2.02566 | + | 0.291246i | ||||
\(836\) | −40.6969 | − | 49.6345i | −1.40753 | − | 1.71664i | ||||
\(837\) | −2.25449 | − | 3.50806i | −0.0779266 | − | 0.121256i | ||||
\(838\) | −13.5349 | + | 28.6007i | −0.467556 | + | 0.987995i | ||||
\(839\) | −18.9504 | + | 41.4956i | −0.654241 | + | 1.43259i | 0.233551 | + | 0.972344i | \(0.424965\pi\) |
−0.887792 | + | 0.460244i | \(0.847762\pi\) | |||||||
\(840\) | −0.405423 | − | 1.62314i | −0.0139884 | − | 0.0560038i | ||||
\(841\) | 1.24986 | − | 8.69299i | 0.0430987 | − | 0.299758i | ||||
\(842\) | −2.48835 | − | 8.92200i | −0.0857542 | − | 0.307472i | ||||
\(843\) | −4.42475 | + | 15.0693i | −0.152396 | + | 0.519015i | ||||
\(844\) | 10.3755 | − | 21.1742i | 0.357139 | − | 0.728847i | ||||
\(845\) | 10.5068 | + | 12.1254i | 0.361443 | + | 0.417128i | ||||
\(846\) | −10.3417 | − | 12.2684i | −0.355555 | − | 0.421797i | ||||
\(847\) | 0.820274 | − | 0.946647i | 0.0281850 | − | 0.0325272i | ||||
\(848\) | 19.6939 | + | 25.3985i | 0.676290 | + | 0.872188i | ||||
\(849\) | −26.3117 | + | 12.0161i | −0.903015 | + | 0.412393i | ||||
\(850\) | 33.3989 | + | 10.3026i | 1.14557 | + | 0.353375i | ||||
\(851\) | −10.6997 | + | 37.0595i | −0.366780 | + | 1.27038i | ||||
\(852\) | 5.57811 | − | 8.18122i | 0.191103 | − | 0.280284i | ||||
\(853\) | −10.3232 | + | 4.71447i | −0.353461 | + | 0.161420i | −0.584230 | − | 0.811588i | \(-0.698603\pi\) |
0.230769 | + | 0.973009i | \(0.425876\pi\) | |||||||
\(854\) | −0.0169303 | + | 1.24385i | −0.000579345 | + | 0.0425636i | ||||
\(855\) | −18.9033 | − | 16.3798i | −0.646480 | − | 0.560178i | ||||
\(856\) | 0.741935 | + | 7.25089i | 0.0253588 | + | 0.247830i | ||||
\(857\) | 9.59743 | + | 11.0760i | 0.327842 | + | 0.378350i | 0.895611 | − | 0.444838i | \(-0.146739\pi\) |
−0.567769 | + | 0.823188i | \(0.692193\pi\) | |||||||
\(858\) | 25.0434 | + | 3.94929i | 0.854966 | + | 0.134827i | ||||
\(859\) | −14.6458 | − | 4.30040i | −0.499709 | − | 0.146728i | 0.0221585 | − | 0.999754i | \(-0.492946\pi\) |
−0.521867 | + | 0.853027i | \(0.674764\pi\) | |||||||
\(860\) | 1.78203 | − | 65.4494i | 0.0607666 | − | 2.23181i | ||||
\(861\) | −0.235042 | + | 1.63475i | −0.00801022 | + | 0.0557123i | ||||
\(862\) | −19.3494 | − | 17.2329i | −0.659042 | − | 0.586956i | ||||
\(863\) | 37.1957 | + | 16.9867i | 1.26616 | + | 0.578234i | 0.931375 | − | 0.364061i | \(-0.118610\pi\) |
0.334782 | + | 0.942296i | \(0.391337\pi\) | |||||||
\(864\) | 0.384664 | − | 5.64376i | 0.0130865 | − | 0.192005i | ||||
\(865\) | −0.0968200 | − | 0.150655i | −0.00329198 | − | 0.00512242i | ||||
\(866\) | 21.2995 | + | 14.1016i | 0.723788 | + | 0.479193i | ||||
\(867\) | 0.0479490 | + | 0.333492i | 0.00162843 | + | 0.0113260i | ||||
\(868\) | 1.48181 | − | 0.172033i | 0.0502960 | − | 0.00583918i | ||||
\(869\) | −2.66795 | + | 4.15141i | −0.0905040 | + | 0.140827i | ||||
\(870\) | 24.3922 | − | 15.2109i | 0.826973 | − | 0.515696i | ||||
\(871\) | 24.3830 | − | 7.15948i | 0.826185 | − | 0.242590i | ||||
\(872\) | 10.2605 | + | 5.20205i | 0.347464 | + | 0.176164i | ||||
\(873\) | 3.09863i | 0.104873i | ||||||||
\(874\) | 50.8420 | − | 6.83918i | 1.71976 | − | 0.231339i | ||||
\(875\) | 0.553439 | 0.0187096 | ||||||||
\(876\) | 1.16256 | − | 6.77175i | 0.0392792 | − | 0.228796i | ||||
\(877\) | 2.80966 | + | 9.56883i | 0.0948755 | + | 0.323116i | 0.993231 | − | 0.116152i | \(-0.0370559\pi\) |
−0.898356 | + | 0.439268i | \(0.855238\pi\) | |||||||
\(878\) | 8.72376 | − | 5.44009i | 0.294413 | − | 0.183594i | ||||
\(879\) | 25.9673 | + | 16.6882i | 0.875856 | + | 0.562878i | ||||
\(880\) | 49.7085 | + | 26.0585i | 1.67567 | + | 0.878432i | ||||
\(881\) | 41.2166 | − | 5.92605i | 1.38862 | − | 0.199654i | 0.592880 | − | 0.805291i | \(-0.297991\pi\) |
0.795741 | + | 0.605637i | \(0.207082\pi\) | |||||||
\(882\) | −5.43994 | + | 8.21665i | −0.183172 | + | 0.276669i | ||||
\(883\) | −4.16052 | + | 2.67381i | −0.140013 | + | 0.0899807i | −0.608772 | − | 0.793345i | \(-0.708338\pi\) |
0.468759 | + | 0.883326i | \(0.344701\pi\) | |||||||
\(884\) | −23.7564 | + | 25.9540i | −0.799014 | + | 0.872927i | ||||
\(885\) | 9.84859 | − | 21.5654i | 0.331057 | − | 0.724913i | ||||
\(886\) | −1.37901 | − | 1.22817i | −0.0463288 | − | 0.0412613i | ||||
\(887\) | 21.3914 | + | 3.07562i | 0.718253 | + | 0.103269i | 0.491744 | − | 0.870740i | \(-0.336360\pi\) |
0.226509 | + | 0.974009i | \(0.427269\pi\) | |||||||
\(888\) | −7.29485 | + | 21.5479i | −0.244799 | + | 0.723099i | ||||
\(889\) | 0.817783 | − | 2.78511i | 0.0274276 | − | 0.0934098i | ||||
\(890\) | −11.0123 | + | 69.8314i | −0.369133 | + | 2.34075i | ||||
\(891\) | 3.20663 | − | 2.77856i | 0.107426 | − | 0.0930854i | ||||
\(892\) | −28.5976 | + | 12.1306i | −0.957519 | + | 0.406163i | ||||
\(893\) | 56.1993 | − | 64.8575i | 1.88064 | − | 2.17037i | ||||
\(894\) | 0.198883 | − | 14.6116i | 0.00665163 | − | 0.488686i | ||||
\(895\) | 15.8548 | + | 34.7172i | 0.529968 | + | 1.16047i | ||||
\(896\) | 1.75246 | + | 1.01196i | 0.0585456 | + | 0.0338071i | ||||
\(897\) | −13.2000 | + | 15.3737i | −0.440735 | + | 0.513312i | ||||
\(898\) | 6.81242 | − | 22.0845i | 0.227333 | − | 0.736970i | ||||
\(899\) | 10.6480 | + | 23.3158i | 0.355129 | + | 0.777625i | ||||
\(900\) | 11.2952 | + | 3.65331i | 0.376506 | + | 0.121777i | ||||
\(901\) | −25.2837 | − | 21.9084i | −0.842321 | − | 0.729875i | ||||
\(902\) | −35.7095 | − | 42.3624i | −1.18900 | − | 1.41051i | ||||
\(903\) | 1.33821 | − | 1.15956i | 0.0445327 | − | 0.0385878i | ||||
\(904\) | 37.6846 | − | 40.0619i | 1.25337 | − | 1.33244i | ||||
\(905\) | 45.9120 | + | 13.4810i | 1.52617 | + | 0.448123i | ||||
\(906\) | −22.0410 | + | 6.14726i | −0.732264 | + | 0.204229i | ||||
\(907\) | −0.115554 | − | 0.0166141i | −0.00383689 | − | 0.000551662i | 0.140396 | − | 0.990095i | \(-0.455162\pi\) |
−0.144233 | + | 0.989544i | \(0.546071\pi\) | |||||||
\(908\) | 4.91392 | + | 8.12420i | 0.163074 | + | 0.269611i | ||||
\(909\) | −7.29613 | − | 3.33203i | −0.241997 | − | 0.110516i | ||||
\(910\) | −1.51184 | + | 3.19467i | −0.0501170 | + | 0.105902i | ||||
\(911\) | 28.0919 | − | 18.0536i | 0.930728 | − | 0.598142i | 0.0149763 | − | 0.999888i | \(-0.495233\pi\) |
0.915751 | + | 0.401745i | \(0.131596\pi\) | |||||||
\(912\) | 30.1370 | − | 2.66980i | 0.997937 | − | 0.0884059i | ||||
\(913\) | −2.44772 | − | 17.0243i | −0.0810077 | − | 0.563421i | ||||
\(914\) | 9.31428 | + | 21.1526i | 0.308089 | + | 0.699667i | ||||
\(915\) | −13.6808 | − | 8.79210i | −0.452273 | − | 0.290658i | ||||
\(916\) | 12.6965 | − | 3.35552i | 0.419506 | − | 0.110870i | ||||
\(917\) | −1.80474 | + | 0.529918i | −0.0595976 | + | 0.0174994i | ||||
\(918\) | 0.758610 | + | 5.83938i | 0.0250379 | + | 0.192728i | ||||
\(919\) | −44.0697 | −1.45373 | −0.726863 | − | 0.686782i | \(-0.759023\pi\) | ||||
−0.726863 | + | 0.686782i | \(0.759023\pi\) | |||||||
\(920\) | −38.5916 | + | 22.8659i | −1.27233 | + | 0.753866i | ||||
\(921\) | 9.67672 | 0.318859 | ||||||||
\(922\) | −4.53123 | − | 34.8790i | −0.149228 | − | 1.14868i | ||||
\(923\) | −20.0711 | + | 5.89340i | −0.660648 | + | 0.193984i | ||||
\(924\) | 0.387834 | + | 1.46748i | 0.0127588 | + | 0.0482765i | ||||
\(925\) | −40.1621 | − | 25.8106i | −1.32052 | − | 0.848648i | ||||
\(926\) | 4.26048 | + | 9.67552i | 0.140008 | + | 0.317957i | ||||
\(927\) | −0.156600 | − | 1.08917i | −0.00514341 | − | 0.0357732i | ||||
\(928\) | −7.27736 | + | 34.0011i | −0.238891 | + | 1.11614i | ||||
\(929\) | −9.10031 | + | 5.84842i | −0.298572 | + | 0.191880i | −0.681346 | − | 0.731962i | \(-0.738605\pi\) |
0.382774 | + | 0.923842i | \(0.374969\pi\) | |||||||
\(930\) | −8.34207 | + | 17.6277i | −0.273547 | + | 0.578034i | ||||
\(931\) | −47.9416 | − | 21.8942i | −1.57122 | − | 0.717553i | ||||
\(932\) | 11.3201 | − | 6.84697i | 0.370803 | − | 0.224280i | ||||
\(933\) | −5.18402 | − | 0.745349i | −0.169717 | − | 0.0244016i | ||||
\(934\) | −30.6432 | + | 8.54642i | −1.00268 | + | 0.279647i | ||||
\(935\) | −56.0559 | − | 16.4595i | −1.83323 | − | 0.538283i | ||||
\(936\) | −8.18804 | + | 8.70459i | −0.267635 | + | 0.284518i | ||||
\(937\) | 20.1126 | − | 17.4276i | 0.657049 | − | 0.569336i | −0.261227 | − | 0.965277i | \(-0.584127\pi\) |
0.918276 | + | 0.395942i | \(0.129582\pi\) | |||||||
\(938\) | 0.980580 | + | 1.16327i | 0.0320171 | + | 0.0379821i | ||||
\(939\) | 20.0683 | + | 17.3892i | 0.654903 | + | 0.567476i | ||||
\(940\) | −23.0932 | + | 71.3989i | −0.753219 | + | 2.32877i | ||||
\(941\) | −16.5650 | − | 36.2724i | −0.540005 | − | 1.18245i | −0.961295 | − | 0.275520i | \(-0.911150\pi\) |
0.421290 | − | 0.906926i | \(-0.361577\pi\) | |||||||
\(942\) | 2.54610 | − | 8.25394i | 0.0829564 | − | 0.268928i | ||||
\(943\) | 43.8024 | − | 6.50033i | 1.42640 | − | 0.211680i | ||||
\(944\) | 10.4757 | + | 26.6948i | 0.340954 | + | 0.868843i | ||||
\(945\) | 0.245717 | + | 0.538046i | 0.00799319 | + | 0.0175026i | ||||
\(946\) | −0.808460 | + | 59.3964i | −0.0262853 | + | 1.93114i | ||||
\(947\) | 17.5649 | − | 20.2709i | 0.570781 | − | 0.658716i | −0.394816 | − | 0.918760i | \(-0.629192\pi\) |
0.965597 | + | 0.260044i | \(0.0837370\pi\) | |||||||
\(948\) | −0.908348 | − | 2.14141i | −0.0295018 | − | 0.0695496i | ||||
\(949\) | −10.9697 | + | 9.50534i | −0.356093 | + | 0.308556i | ||||
\(950\) | −9.89041 | + | 62.7173i | −0.320887 | + | 2.03482i | ||||
\(951\) | −9.67235 | + | 32.9410i | −0.313648 | + | 1.06819i | ||||
\(952\) | −1.99527 | − | 0.675480i | −0.0646669 | − | 0.0218924i | ||||
\(953\) | −26.7291 | − | 3.84307i | −0.865841 | − | 0.124489i | −0.304940 | − | 0.952372i | \(-0.598636\pi\) |
−0.560902 | + | 0.827882i | \(0.689545\pi\) | |||||||
\(954\) | −8.48547 | − | 7.55733i | −0.274727 | − | 0.244678i | ||||
\(955\) | 4.76868 | − | 10.4419i | 0.154311 | − | 0.337894i | ||||
\(956\) | −9.40823 | − | 8.61161i | −0.304284 | − | 0.278519i | ||||
\(957\) | −21.9403 | + | 14.1002i | −0.709230 | + | 0.455794i | ||||
\(958\) | 0.940525 | − | 1.42060i | 0.0303870 | − | 0.0458974i | ||||
\(959\) | −1.21091 | + | 0.174103i | −0.0391023 | + | 0.00562206i | ||||
\(960\) | −23.3481 | + | 12.4397i | −0.753558 | + | 0.401490i | ||||
\(961\) | 11.4501 | + | 7.35856i | 0.369359 | + | 0.237373i | ||||
\(962\) | 40.7798 | − | 25.4301i | 1.31479 | − | 0.819899i | ||||
\(963\) | −0.726014 | − | 2.47258i | −0.0233955 | − | 0.0796777i | ||||
\(964\) | 7.90657 | + | 1.35738i | 0.254654 | + | 0.0437184i | ||||
\(965\) | 18.7909 | 0.604900 | ||||||||
\(966\) | −1.16084 | − | 0.352340i | −0.0373496 | − | 0.0113364i | ||||
\(967\) | − | 0.116793i | − | 0.00375581i | −0.999998 | − | 0.00187791i | \(-0.999402\pi\) | ||
0.999998 | − | 0.00187791i | \(-0.000597757\pi\) | |||||||
\(968\) | −17.6664 | − | 8.95683i | −0.567820 | − | 0.287883i | ||||
\(969\) | −30.2180 | + | 8.87281i | −0.970742 | + | 0.285036i | ||||
\(970\) | 12.2963 | − | 7.66794i | 0.394812 | − | 0.246203i | ||||
\(971\) | −6.75183 | + | 10.5060i | −0.216676 | + | 0.337155i | −0.932528 | − | 0.361097i | \(-0.882402\pi\) |
0.715852 | + | 0.698252i | \(0.246039\pi\) | |||||||
\(972\) | 0.230643 | + | 1.98666i | 0.00739789 | + | 0.0637220i | ||||
\(973\) | −0.129302 | − | 0.899318i | −0.00414525 | − | 0.0288308i | ||||
\(974\) | 1.29185 | + | 0.855287i | 0.0413936 | + | 0.0274052i | ||||
\(975\) | −13.5587 | − | 21.0977i | −0.434226 | − | 0.675668i | ||||
\(976\) | 19.1476 | − | 4.50667i | 0.612899 | − | 0.144255i | ||||
\(977\) | −15.8603 | − | 7.24317i | −0.507417 | − | 0.231730i | 0.145221 | − | 0.989399i | \(-0.453611\pi\) |
−0.652638 | + | 0.757670i | \(0.726338\pi\) | |||||||
\(978\) | −20.7495 | − | 18.4799i | −0.663496 | − | 0.590923i | ||||
\(979\) | 9.12786 | − | 63.4857i | 0.291728 | − | 2.02901i | ||||
\(980\) | 46.0681 | + | 1.25432i | 1.47159 | + | 0.0400678i | ||||
\(981\) | −3.90248 | − | 1.14587i | −0.124597 | − | 0.0365849i | ||||
\(982\) | 4.46676 | + | 0.704400i | 0.142540 | + | 0.0224783i | ||||
\(983\) | 11.8130 | + | 13.6330i | 0.376777 | + | 0.434824i | 0.912191 | − | 0.409766i | \(-0.134390\pi\) |
−0.535414 | + | 0.844590i | \(0.679844\pi\) | |||||||
\(984\) | 25.9805 | − | 2.65841i | 0.828229 | − | 0.0847471i | ||||
\(985\) | −19.7582 | − | 17.1206i | −0.629548 | − | 0.545506i | ||||
\(986\) | 0.492611 | − | 36.1914i | 0.0156879 | − | 1.15257i | ||||
\(987\) | −1.84604 | + | 0.843058i | −0.0587601 | + | 0.0268348i | ||||
\(988\) | −52.8090 | − | 36.0061i | −1.68008 | − | 1.14551i | ||||
\(989\) | −40.0555 | − | 25.4867i | −1.27369 | − | 0.810428i | ||||
\(990\) | −18.9614 | − | 5.84905i | −0.602634 | − | 0.185895i | ||||
\(991\) | −49.7072 | + | 22.7005i | −1.57900 | + | 0.721106i | −0.995829 | − | 0.0912413i | \(-0.970917\pi\) |
−0.583174 | + | 0.812348i | \(0.698189\pi\) | |||||||
\(992\) | −8.31755 | − | 22.0742i | −0.264083 | − | 0.700858i | ||||
\(993\) | 7.59541 | − | 8.76557i | 0.241033 | − | 0.278167i | ||||
\(994\) | −0.807175 | − | 0.957558i | −0.0256020 | − | 0.0303719i | ||||
\(995\) | 5.93880 | + | 6.85374i | 0.188273 | + | 0.217278i | ||||
\(996\) | 7.28016 | + | 3.56732i | 0.230681 | + | 0.113035i | ||||
\(997\) | −12.9538 | + | 44.1166i | −0.410251 | + | 1.39719i | 0.452593 | + | 0.891717i | \(0.350499\pi\) |
−0.862844 | + | 0.505470i | \(0.831319\pi\) | |||||||
\(998\) | 3.73890 | + | 13.4058i | 0.118353 | + | 0.424355i | ||||
\(999\) | 1.14465 | − | 7.96119i | 0.0362150 | − | 0.251881i |
(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 | 552.2.t.b.19.2 | ✓ | 240 | |
8.3 | odd | 2 | inner | 552.2.t.b.19.19 | yes | 240 | |
23.17 | odd | 22 | inner | 552.2.t.b.523.19 | yes | 240 | |
184.155 | even | 22 | inner | 552.2.t.b.523.2 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.t.b.19.2 | ✓ | 240 | 1.1 | even | 1 | trivial | |
552.2.t.b.19.19 | yes | 240 | 8.3 | odd | 2 | inner | |
552.2.t.b.523.2 | yes | 240 | 184.155 | even | 22 | inner | |
552.2.t.b.523.19 | yes | 240 | 23.17 | odd | 22 | inner |