Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [320,2,Mod(3,320)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(320, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 3, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("320.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 320 = 2^{6} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 320.bj (of order \(16\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.55521286468\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 3.13 | ||
Character | \(\chi\) | \(=\) | 320.3 |
Dual form | 320.2.bj.a.107.13 |
$q$-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 \(\left(\mathbb{Z}/320\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(257\) | \(261\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{3}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.06436 | − | 0.931203i | −0.752616 | − | 0.658460i | ||||
\(3\) | −0.000769131 | − | 0.00115109i | −0.000444058 | − | 0.000664580i | 0.831248 | − | 0.555902i | \(-0.187627\pi\) |
−0.831692 | + | 0.555238i | \(0.812627\pi\) | |||||||
\(4\) | 0.265723 | + | 1.98227i | 0.132862 | + | 0.991135i | ||||
\(5\) | 1.37433 | + | 1.76387i | 0.614617 | + | 0.788826i | ||||
\(6\) | −0.000253262 | 0.00194139i | −0.000103394 | 0.000792567i | ||||||
\(7\) | −3.49768 | − | 1.44879i | −1.32200 | − | 0.547590i | −0.393637 | − | 0.919266i | \(-0.628783\pi\) |
−0.928362 | + | 0.371676i | \(0.878783\pi\) | |||||||
\(8\) | 1.56307 | − | 2.35729i | 0.552629 | − | 0.833428i | ||||
\(9\) | 1.14805 | − | 2.77164i | 0.382683 | − | 0.923879i | ||||
\(10\) | 0.179742 | − | 3.15717i | 0.0568394 | − | 0.998383i | ||||
\(11\) | 0.865514 | + | 4.35123i | 0.260962 | + | 1.31195i | 0.859617 | + | 0.510939i | \(0.170702\pi\) |
−0.598655 | + | 0.801007i | \(0.704298\pi\) | |||||||
\(12\) | 0.00207739 | − | 0.00183049i | 0.000599690 | − | 0.000528418i | ||||
\(13\) | 4.20088 | + | 0.835608i | 1.16512 | + | 0.231756i | 0.739505 | − | 0.673151i | \(-0.235060\pi\) |
0.425610 | + | 0.904907i | \(0.360060\pi\) | |||||||
\(14\) | 2.37368 | + | 4.79908i | 0.634392 | + | 1.28261i | ||||
\(15\) | 0.000973327 | − | 0.00293861i | 0.000251312 | − | 0.000758746i | ||||
\(16\) | −3.85878 | + | 1.05347i | −0.964696 | + | 0.263367i | ||||
\(17\) | 3.20395 | 0.777071 | 0.388535 | − | 0.921434i | \(-0.372981\pi\) | ||||
0.388535 | + | 0.921434i | \(0.372981\pi\) | |||||||
\(18\) | −3.80289 | + | 1.88095i | −0.896351 | + | 0.443345i | ||||
\(19\) | 4.68388 | + | 7.00992i | 1.07456 | + | 1.60819i | 0.748881 | + | 0.662705i | \(0.230592\pi\) |
0.325675 | + | 0.945482i | \(0.394408\pi\) | |||||||
\(20\) | −3.13127 | + | 3.19298i | −0.700173 | + | 0.713973i | ||||
\(21\) | 0.00102250 | + | 0.00514044i | 0.000223127 | + | 0.00112174i | ||||
\(22\) | 3.13066 | − | 5.43725i | 0.667459 | − | 1.15923i | ||||
\(23\) | 0.212001 | + | 0.511815i | 0.0442052 | + | 0.106721i | 0.944440 | − | 0.328684i | \(-0.106605\pi\) |
−0.900235 | + | 0.435405i | \(0.856605\pi\) | |||||||
\(24\) | −0.00391565 | 1.38373e-5i | −0.000799278 | 2.82452e-6i | ||||||
\(25\) | −1.22246 | + | 4.84826i | −0.244492 | + | 0.969651i | ||||
\(26\) | −3.69313 | − | 4.80126i | −0.724283 | − | 0.941605i | ||||
\(27\) | −0.00814678 | + | 0.00162050i | −0.00156785 | + | 0.000311865i | ||||
\(28\) | 1.94247 | − | 7.31832i | 0.367093 | − | 1.38303i | ||||
\(29\) | 1.21061 | − | 6.08616i | 0.224805 | − | 1.13017i | −0.689232 | − | 0.724541i | \(-0.742052\pi\) |
0.914037 | − | 0.405631i | \(-0.132948\pi\) | |||||||
\(30\) | −0.00377241 | + | 0.00222137i | −0.000688745 | + | 0.000405566i | ||||
\(31\) | 3.83217 | 0.688278 | 0.344139 | − | 0.938919i | \(-0.388171\pi\) | ||||
0.344139 | + | 0.938919i | \(0.388171\pi\) | |||||||
\(32\) | 5.08813 | + | 2.47204i | 0.899462 | + | 0.436999i | ||||
\(33\) | 0.00434295 | − | 0.00434295i | 0.000756010 | − | 0.000756010i | ||||
\(34\) | −3.41015 | − | 2.98352i | −0.584836 | − | 0.511670i | ||||
\(35\) | −2.25148 | − | 8.16055i | −0.380570 | − | 1.37939i | ||||
\(36\) | 5.79919 | + | 1.53926i | 0.966532 | + | 0.256543i | ||||
\(37\) | 0.234958 | + | 1.18121i | 0.0386268 | + | 0.194190i | 0.995281 | − | 0.0970369i | \(-0.0309365\pi\) |
−0.956654 | + | 0.291227i | \(0.905936\pi\) | |||||||
\(38\) | 1.54233 | − | 11.8227i | 0.250198 | − | 1.91790i | ||||
\(39\) | −0.00226917 | − | 0.00547827i | −0.000363358 | − | 0.000877225i | ||||
\(40\) | 6.30611 | − | 0.482635i | 0.997084 | − | 0.0763113i | ||||
\(41\) | −0.783099 | + | 1.89057i | −0.122300 | + | 0.295257i | −0.973158 | − | 0.230138i | \(-0.926082\pi\) |
0.850859 | + | 0.525395i | \(0.176082\pi\) | |||||||
\(42\) | 0.00369848 | − | 0.00642343i | 0.000570689 | − | 0.000991156i | ||||
\(43\) | −3.83898 | − | 2.56512i | −0.585439 | − | 0.391178i | 0.227284 | − | 0.973829i | \(-0.427015\pi\) |
−0.812722 | + | 0.582651i | \(0.802015\pi\) | |||||||
\(44\) | −8.39533 | + | 2.87191i | −1.26564 | + | 0.432956i | ||||
\(45\) | 6.46659 | − | 1.78412i | 0.963983 | − | 0.265961i | ||||
\(46\) | 0.250959 | − | 0.742171i | 0.0370018 | − | 0.109427i | ||||
\(47\) | − | 2.32696i | − | 0.339422i | −0.985494 | − | 0.169711i | \(-0.945717\pi\) | ||
0.985494 | − | 0.169711i | \(-0.0542834\pi\) | |||||||
\(48\) | 0.00418054 | + | 0.00363153i | 0.000603409 | + | 0.000524167i | ||||
\(49\) | 5.18504 | + | 5.18504i | 0.740720 | + | 0.740720i | ||||
\(50\) | 5.81585 | − | 4.02193i | 0.822485 | − | 0.568787i | ||||
\(51\) | −0.00246425 | − | 0.00368801i | −0.000345064 | − | 0.000516425i | ||||
\(52\) | −0.540127 | + | 8.54932i | −0.0749022 | + | 1.18558i | ||||
\(53\) | −9.61544 | − | 6.42483i | −1.32078 | − | 0.882518i | −0.322828 | − | 0.946458i | \(-0.604634\pi\) |
−0.997954 | + | 0.0639392i | \(0.979634\pi\) | |||||||
\(54\) | 0.0101801 | + | 0.00586152i | 0.00138534 | + | 0.000797651i | ||||
\(55\) | −6.48550 | + | 7.50666i | −0.874505 | + | 1.01220i | ||||
\(56\) | −8.88233 | + | 5.98049i | −1.18695 | + | 0.799177i | ||||
\(57\) | 0.00446650 | − | 0.0107831i | 0.000591603 | − | 0.00142826i | ||||
\(58\) | −6.95598 | + | 5.35054i | −0.913365 | + | 0.702560i | ||||
\(59\) | −1.82649 | − | 1.22042i | −0.237789 | − | 0.158885i | 0.430967 | − | 0.902368i | \(-0.358173\pi\) |
−0.668755 | + | 0.743482i | \(0.733173\pi\) | |||||||
\(60\) | 0.00608375 | + | 0.00114854i | 0.000785409 | + | 0.000148276i | ||||
\(61\) | −2.25865 | + | 11.3550i | −0.289191 | + | 1.45386i | 0.513821 | + | 0.857897i | \(0.328230\pi\) |
−0.803012 | + | 0.595963i | \(0.796770\pi\) | |||||||
\(62\) | −4.07881 | − | 3.56853i | −0.518009 | − | 0.453204i | ||||
\(63\) | −8.03102 | + | 8.03102i | −1.01181 | + | 1.01181i | ||||
\(64\) | −3.11363 | − | 7.36921i | −0.389203 | − | 0.921152i | ||||
\(65\) | 4.29948 | + | 8.55820i | 0.533285 | + | 1.06151i | ||||
\(66\) | −0.00866663 | 0.000578294i | −0.00106679 | 7.11831e-5i | ||||||
\(67\) | 6.15367 | − | 4.11175i | 0.751791 | − | 0.502331i | −0.119659 | − | 0.992815i | \(-0.538180\pi\) |
0.871450 | + | 0.490484i | \(0.163180\pi\) | |||||||
\(68\) | 0.851362 | + | 6.35108i | 0.103243 | + | 0.770182i | ||||
\(69\) | 0.000426087 | 0 | 0.000637684i | 5.12948e−5 | 0 | 7.67681e-5i | ||||
\(70\) | −5.20274 | + | 10.7823i | −0.621846 | + | 1.28874i | ||||
\(71\) | −5.17413 | − | 12.4914i | −0.614056 | − | 1.48246i | −0.858508 | − | 0.512801i | \(-0.828608\pi\) |
0.244452 | − | 0.969661i | \(-0.421392\pi\) | |||||||
\(72\) | −4.73907 | − | 7.03855i | −0.558505 | − | 0.829501i | ||||
\(73\) | 3.17370 | + | 7.66198i | 0.371453 | + | 0.896767i | 0.993505 | + | 0.113791i | \(0.0362994\pi\) |
−0.622051 | + | 0.782976i | \(0.713701\pi\) | |||||||
\(74\) | 0.849869 | − | 1.47603i | 0.0987952 | − | 0.171585i | ||||
\(75\) | 0.00652099 | − | 0.00232179i | 0.000752979 | − | 0.000268097i | ||||
\(76\) | −12.6509 | + | 11.1474i | −1.45116 | + | 1.27870i | ||||
\(77\) | 3.27672 | − | 16.4732i | 0.373417 | − | 1.87729i | ||||
\(78\) | −0.00268616 | + | 0.00794391i | −0.000304148 | + | 0.000899470i | ||||
\(79\) | −1.23111 | + | 1.23111i | −0.138511 | + | 0.138511i | −0.772963 | − | 0.634452i | \(-0.781226\pi\) |
0.634452 | + | 0.772963i | \(0.281226\pi\) | |||||||
\(80\) | −7.16140 | − | 5.35857i | −0.800669 | − | 0.599107i | ||||
\(81\) | −6.36395 | − | 6.36395i | −0.707105 | − | 0.707105i | ||||
\(82\) | 2.59400 | − | 1.28302i | 0.286459 | − | 0.141686i | ||||
\(83\) | 1.10209 | + | 0.219220i | 0.120970 | + | 0.0240625i | 0.255204 | − | 0.966887i | \(-0.417857\pi\) |
−0.134234 | + | 0.990950i | \(0.542857\pi\) | |||||||
\(84\) | −0.00991803 | + | 0.00339280i | −0.00108215 | + | 0.000370184i | ||||
\(85\) | 4.40326 | + | 5.65134i | 0.477601 | + | 0.612973i | ||||
\(86\) | 1.69740 | + | 6.30508i | 0.183036 | + | 0.679894i | ||||
\(87\) | −0.00793681 | + | 0.00328754i | −0.000850916 | + | 0.000352461i | ||||
\(88\) | 11.6100 | + | 4.76101i | 1.23763 | + | 0.507526i | ||||
\(89\) | 2.66079 | − | 1.10213i | 0.282043 | − | 0.116826i | −0.237178 | − | 0.971466i | \(-0.576222\pi\) |
0.519221 | + | 0.854640i | \(0.326222\pi\) | |||||||
\(90\) | −8.54416 | − | 4.12276i | −0.900634 | − | 0.434577i | ||||
\(91\) | −13.4827 | − | 9.00887i | −1.41337 | − | 0.944387i | ||||
\(92\) | −0.958222 | + | 0.556244i | −0.0999016 | + | 0.0579924i | ||||
\(93\) | −0.00294744 | − | 0.00441116i | −0.000305635 | − | 0.000457416i | ||||
\(94\) | −2.16687 | + | 2.47672i | −0.223496 | + | 0.255454i | ||||
\(95\) | −5.92740 | + | 17.8957i | −0.608139 | + | 1.83606i | ||||
\(96\) | −0.00106791 | − | 0.00775819i | −0.000108993 | − | 0.000791817i | ||||
\(97\) | −2.06514 | − | 2.06514i | −0.209683 | − | 0.209683i | 0.594449 | − | 0.804133i | \(-0.297370\pi\) |
−0.804133 | + | 0.594449i | \(0.797370\pi\) | |||||||
\(98\) | −0.690425 | − | 10.3471i | −0.0697434 | − | 1.04521i | ||||
\(99\) | 13.0537 | + | 2.59654i | 1.31195 | + | 0.260962i | ||||
\(100\) | −9.93539 | − | 1.13495i | −0.993539 | − | 0.113495i | ||||
\(101\) | 6.18285 | − | 9.25329i | 0.615217 | − | 0.920737i | −0.384781 | − | 0.923008i | \(-0.625723\pi\) |
0.999997 | + | 0.00227097i | \(0.000722874\pi\) | |||||||
\(102\) | −0.000811438 | 0.00622009i | −8.03443e−5 | 0.000615881i | ||||||
\(103\) | −2.57750 | − | 1.06764i | −0.253969 | − | 0.105197i | 0.252067 | − | 0.967710i | \(-0.418890\pi\) |
−0.506036 | + | 0.862512i | \(0.668890\pi\) | |||||||
\(104\) | 8.53604 | − | 8.59659i | 0.837028 | − | 0.842965i | ||||
\(105\) | −0.00766181 | + | 0.00886818i | −0.000747716 | + | 0.000865446i | ||||
\(106\) | 4.25147 | + | 15.7923i | 0.412939 | + | 1.53388i | ||||
\(107\) | −2.98989 | + | 4.47469i | −0.289044 | + | 0.432584i | −0.947366 | − | 0.320152i | \(-0.896266\pi\) |
0.658323 | + | 0.752736i | \(0.271266\pi\) | |||||||
\(108\) | −0.00537705 | − | 0.0157185i | −0.000517407 | − | 0.00151252i | ||||
\(109\) | −7.93354 | + | 5.30102i | −0.759895 | + | 0.507746i | −0.874120 | − | 0.485709i | \(-0.838561\pi\) |
0.114225 | + | 0.993455i | \(0.463561\pi\) | |||||||
\(110\) | 13.8931 | − | 1.95047i | 1.32466 | − | 0.185970i | ||||
\(111\) | 0.00117896 | − | 0.00117896i | 0.000111902 | − | 0.000111902i | ||||
\(112\) | 15.0230 | + | 1.90585i | 1.41954 | + | 0.180086i | ||||
\(113\) | 4.98971 | 0.469392 | 0.234696 | − | 0.972069i | \(-0.424591\pi\) | ||||
0.234696 | + | 0.972069i | \(0.424591\pi\) | |||||||
\(114\) | −0.0147952 | + | 0.00731787i | −0.00138570 | + | 0.000685381i | ||||
\(115\) | −0.611416 | + | 1.07734i | −0.0570149 | + | 0.100463i | ||||
\(116\) | 12.3861 | + | 0.782527i | 1.15002 | + | 0.0726558i | ||||
\(117\) | 7.13882 | − | 10.6840i | 0.659984 | − | 0.987736i | ||||
\(118\) | 0.807583 | + | 2.99980i | 0.0743440 | + | 0.276154i | ||||
\(119\) | −11.2064 | − | 4.64183i | −1.02729 | − | 0.425516i | ||||
\(120\) | −0.00540578 | − | 0.00688767i | −0.000493478 | − | 0.000628755i | ||||
\(121\) | −8.02145 | + | 3.32259i | −0.729223 | + | 0.302054i | ||||
\(122\) | 12.9778 | − | 9.98256i | 1.17496 | − | 0.903778i | ||||
\(123\) | 0.00277851 | 0.000552680i | 0.000250530 | 4.98335e-5i | ||||||
\(124\) | 1.01830 | + | 7.59640i | 0.0914457 | + | 0.682177i | ||||
\(125\) | −10.2317 | + | 4.50682i | −0.915155 | + | 0.403103i | ||||
\(126\) | 16.0264 | − | 1.06939i | 1.42775 | − | 0.0952686i | ||||
\(127\) | −5.27932 | − | 5.27932i | −0.468464 | − | 0.468464i | 0.432953 | − | 0.901417i | \(-0.357472\pi\) |
−0.901417 | + | 0.432953i | \(0.857472\pi\) | |||||||
\(128\) | −3.54821 | + | 10.7429i | −0.313621 | + | 0.949548i | ||||
\(129\) | 0.00639191i | 0.000562776i | ||||||||
\(130\) | 3.39323 | − | 13.1127i | 0.297606 | − | 1.15006i | ||||
\(131\) | −14.7010 | − | 2.92421i | −1.28443 | − | 0.255489i | −0.494766 | − | 0.869026i | \(-0.664746\pi\) |
−0.789666 | + | 0.613537i | \(0.789746\pi\) | |||||||
\(132\) | 0.00976292 | + | 0.00745487i | 0.000849753 | + | 0.000648863i | ||||
\(133\) | −6.22684 | − | 31.3044i | −0.539935 | − | 2.71444i | ||||
\(134\) | −10.3786 | − | 1.35393i | −0.896574 | − | 0.116962i | ||||
\(135\) | −0.0140547 | − | 0.0121428i | −0.00120963 | − | 0.00104508i | ||||
\(136\) | 5.00799 | − | 7.55263i | 0.429432 | − | 0.647632i | ||||
\(137\) | −8.35650 | + | 3.46138i | −0.713944 | + | 0.295725i | −0.709936 | − | 0.704267i | \(-0.751276\pi\) |
−0.00400863 | + | 0.999992i | \(0.501276\pi\) | |||||||
\(138\) | −0.00104732 | 0.000281952i | −8.91540e−5 | 2.40013e-5i | ||||||
\(139\) | 9.31698 | − | 1.85326i | 0.790256 | − | 0.157192i | 0.216570 | − | 0.976267i | \(-0.430513\pi\) |
0.573686 | + | 0.819076i | \(0.305513\pi\) | |||||||
\(140\) | 15.5781 | − | 6.63149i | 1.31659 | − | 0.560463i | ||||
\(141\) | −0.00267853 | + | 0.00178974i | −0.000225573 | + | 0.000150723i | ||||
\(142\) | −6.12494 | + | 18.1136i | −0.513993 | + | 1.52006i | ||||
\(143\) | 19.0023i | 1.58905i | ||||||||
\(144\) | −1.51024 | + | 11.9046i | −0.125853 | + | 0.992048i | ||||
\(145\) | 12.3990 | − | 6.22901i | 1.02968 | − | 0.517291i | ||||
\(146\) | 3.75690 | − | 11.1105i | 0.310924 | − | 0.919508i | ||||
\(147\) | 0.00198045 | − | 0.00995640i | 0.000163345 | − | 0.000821190i | ||||
\(148\) | −2.27905 | + | 0.779625i | −0.187337 | + | 0.0640848i | ||||
\(149\) | 14.0798 | − | 2.80064i | 1.15346 | − | 0.229437i | 0.418933 | − | 0.908017i | \(-0.362404\pi\) |
0.734526 | + | 0.678580i | \(0.237404\pi\) | |||||||
\(150\) | −0.00910273 | − | 0.00360115i | −0.000743235 | − | 0.000294032i | ||||
\(151\) | −9.32934 | − | 3.86434i | −0.759211 | − | 0.314475i | −0.0307172 | − | 0.999528i | \(-0.509779\pi\) |
−0.728493 | + | 0.685053i | \(0.759779\pi\) | |||||||
\(152\) | 23.8456 | − | 0.0842667i | 1.93414 | − | 0.00683493i | ||||
\(153\) | 3.67829 | − | 8.88017i | 0.297372 | − | 0.717919i | ||||
\(154\) | −18.8275 | + | 14.4821i | −1.51716 | + | 1.16700i | ||||
\(155\) | 5.26665 | + | 6.75945i | 0.423028 | + | 0.542932i | ||||
\(156\) | 0.0102564 | − | 0.00595381i | 0.000821172 | − | 0.000476687i | ||||
\(157\) | −20.7776 | + | 13.8832i | −1.65824 | + | 1.10800i | −0.787367 | + | 0.616485i | \(0.788556\pi\) |
−0.870870 | + | 0.491514i | \(0.836444\pi\) | |||||||
\(158\) | 2.45676 | − | 0.163931i | 0.195450 | − | 0.0130417i | ||||
\(159\) | 0.0160097i | 0.00126965i | ||||||||
\(160\) | 2.63239 | + | 12.3722i | 0.208109 | + | 0.978106i | ||||
\(161\) | − | 2.09731i | − | 0.165291i | ||||||
\(162\) | 0.847404 | + | 12.6997i | 0.0665784 | + | 0.997779i | ||||
\(163\) | 11.6936 | − | 7.81345i | 0.915917 | − | 0.611996i | −0.00574750 | − | 0.999983i | \(-0.501829\pi\) |
0.921665 | + | 0.387987i | \(0.126829\pi\) | |||||||
\(164\) | −3.95570 | − | 1.04995i | −0.308888 | − | 0.0819870i | ||||
\(165\) | 0.0136290 | + | 0.00169176i | 0.00106102 | + | 0.000131704i | ||||
\(166\) | −0.968884 | − | 1.25960i | −0.0752000 | − | 0.0977639i | ||||
\(167\) | 3.75369 | − | 9.06221i | 0.290469 | − | 0.701255i | −0.709525 | − | 0.704681i | \(-0.751090\pi\) |
0.999994 | + | 0.00342540i | \(0.00109034\pi\) | |||||||
\(168\) | 0.0137157 | + | 0.00562454i | 0.00105819 | + | 0.000433943i | ||||
\(169\) | 4.93875 | + | 2.04570i | 0.379904 | + | 0.157361i | ||||
\(170\) | 0.575883 | − | 10.1154i | 0.0441682 | − | 0.775815i | ||||
\(171\) | 24.8063 | − | 4.93428i | 1.89698 | − | 0.377334i | ||||
\(172\) | 4.06466 | − | 8.29150i | 0.309927 | − | 0.632221i | ||||
\(173\) | −1.01091 | + | 5.08220i | −0.0768583 | + | 0.386393i | 0.923140 | + | 0.384464i | \(0.125614\pi\) |
−0.999998 | + | 0.00192833i | \(0.999386\pi\) | |||||||
\(174\) | 0.0115090 | + | 0.00389166i | 0.000872494 | + | 0.000295026i | ||||
\(175\) | 11.2999 | − | 15.1866i | 0.854190 | − | 1.14800i | ||||
\(176\) | −7.92372 | − | 15.8787i | −0.597273 | − | 1.19690i | ||||
\(177\) | 0.00304111i | 0.000228584i | ||||||||
\(178\) | −3.85835 | − | 1.30467i | −0.289195 | − | 0.0977888i | ||||
\(179\) | 20.2165 | − | 13.5082i | 1.51105 | − | 1.00965i | 0.523556 | − | 0.851991i | \(-0.324605\pi\) |
0.987493 | − | 0.157660i | \(-0.0503949\pi\) | |||||||
\(180\) | 5.25494 | + | 12.3444i | 0.391680 | + | 0.920101i | ||||
\(181\) | 9.75219 | − | 1.93983i | 0.724875 | − | 0.144187i | 0.181156 | − | 0.983454i | \(-0.442016\pi\) |
0.543718 | + | 0.839268i | \(0.317016\pi\) | |||||||
\(182\) | 5.96139 | + | 22.1438i | 0.441888 | + | 1.64141i | ||||
\(183\) | 0.0148078 | − | 0.00613359i | 0.00109462 | − | 0.000453408i | ||||
\(184\) | 1.53787 | + | 0.300255i | 0.113373 | + | 0.0221351i | ||||
\(185\) | −1.76059 | + | 2.03780i | −0.129441 | + | 0.149822i | ||||
\(186\) | −0.000970544 | 0.00743972i | −7.11638e−5 | 0.000545507i | ||||||
\(187\) | 2.77306 | + | 13.9411i | 0.202786 | + | 1.01948i | ||||
\(188\) | 4.61266 | − | 0.618327i | 0.336413 | − | 0.0450961i | ||||
\(189\) | 0.0308426 | + | 0.00613498i | 0.00224347 | + | 0.000446254i | ||||
\(190\) | 22.9734 | − | 13.5278i | 1.66666 | − | 0.981410i | ||||
\(191\) | − | 11.9845i | − | 0.867171i | −0.901112 | − | 0.433585i | \(-0.857248\pi\) | ||
0.901112 | − | 0.433585i | \(-0.142752\pi\) | |||||||
\(192\) | −0.00608781 | + | 0.00925194i | −0.000439350 | + | 0.000667701i | ||||
\(193\) | 15.9993 | + | 15.9993i | 1.15165 | + | 1.15165i | 0.986221 | + | 0.165433i | \(0.0529021\pi\) |
0.165433 | + | 0.986221i | \(0.447098\pi\) | |||||||
\(194\) | 0.274988 | + | 4.12112i | 0.0197430 | + | 0.295879i | ||||
\(195\) | 0.00654436 | − | 0.0115314i | 0.000468651 | − | 0.000825784i | ||||
\(196\) | −8.90036 | + | 11.6559i | −0.635740 | + | 0.832567i | ||||
\(197\) | −17.1015 | + | 3.40171i | −1.21843 | + | 0.242362i | −0.762108 | − | 0.647450i | \(-0.775835\pi\) |
−0.456327 | + | 0.889812i | \(0.650835\pi\) | |||||||
\(198\) | −11.4759 | − | 14.9193i | −0.815558 | − | 1.06027i | ||||
\(199\) | 9.45488 | − | 3.91634i | 0.670239 | − | 0.277622i | −0.0215009 | − | 0.999769i | \(-0.506844\pi\) |
0.691740 | + | 0.722147i | \(0.256844\pi\) | |||||||
\(200\) | 9.51796 | + | 10.4599i | 0.673021 | + | 0.739623i | ||||
\(201\) | −0.00946596 | − | 0.00392093i | −0.000667677 | − | 0.000276561i | ||||
\(202\) | −15.1975 | + | 4.09134i | −1.06929 | + | 0.287866i | ||||
\(203\) | −13.0519 | + | 19.5335i | −0.916063 | + | 1.37099i | ||||
\(204\) | 0.00665583 | − | 0.00586480i | 0.000466001 | − | 0.000410618i | ||||
\(205\) | −4.41095 | + | 1.21697i | −0.308074 | + | 0.0849971i | ||||
\(206\) | 1.74920 | + | 3.53653i | 0.121873 | + | 0.246401i | ||||
\(207\) | 1.66195 | 0.115514 | ||||||||
\(208\) | −17.0906 | + | 1.20107i | −1.18502 | + | 0.0832795i | ||||
\(209\) | −26.4478 | + | 26.4478i | −1.82944 | + | 1.82944i | ||||
\(210\) | 0.0164130 | − | 0.00230424i | 0.00113260 | − | 0.000159008i | ||||
\(211\) | 7.31064 | − | 4.88481i | 0.503285 | − | 0.336284i | −0.277873 | − | 0.960618i | \(-0.589629\pi\) |
0.781158 | + | 0.624333i | \(0.214629\pi\) | |||||||
\(212\) | 10.1807 | − | 20.7676i | 0.699213 | − | 1.42633i | ||||
\(213\) | −0.0103991 | + | 0.0155634i | −0.000712538 | + | 0.00106639i | ||||
\(214\) | 7.34916 | − | 1.97848i | 0.502378 | − | 0.135246i | ||||
\(215\) | −0.751467 | − | 10.2968i | −0.0512496 | − | 0.702233i | ||||
\(216\) | −0.00891401 | + | 0.0217373i | −0.000606522 | + | 0.00147903i | ||||
\(217\) | −13.4037 | − | 5.55200i | −0.909904 | − | 0.376894i | ||||
\(218\) | 13.3805 | + | 1.74554i | 0.906239 | + | 0.118223i | ||||
\(219\) | 0.00637861 | − | 0.00954626i | 0.000431027 | − | 0.000645077i | ||||
\(220\) | −16.6036 | − | 10.8613i | −1.11941 | − | 0.732270i | ||||
\(221\) | 13.4594 | + | 2.67724i | 0.905377 | + | 0.180091i | ||||
\(222\) | −0.00235269 | 0.000156987i | −0.000157903 | 1.05363e-5i | ||||||
\(223\) | −13.8995 | − | 13.8995i | −0.930780 | − | 0.930780i | 0.0669748 | − | 0.997755i | \(-0.478665\pi\) |
−0.997755 | + | 0.0669748i | \(0.978665\pi\) | |||||||
\(224\) | −14.2152 | − | 16.0180i | −0.949792 | − | 1.07025i | ||||
\(225\) | 12.0342 | + | 8.95425i | 0.802277 | + | 0.596950i | ||||
\(226\) | −5.31084 | − | 4.64643i | −0.353272 | − | 0.309076i | ||||
\(227\) | −4.15815 | − | 6.22312i | −0.275986 | − | 0.413043i | 0.667420 | − | 0.744681i | \(-0.267399\pi\) |
−0.943406 | + | 0.331639i | \(0.892399\pi\) | |||||||
\(228\) | 0.0225618 | + | 0.00598850i | 0.00149420 | + | 0.000396598i | ||||
\(229\) | −13.4428 | − | 8.98218i | −0.888324 | − | 0.593559i | 0.0254979 | − | 0.999675i | \(-0.491883\pi\) |
−0.913822 | + | 0.406116i | \(0.866883\pi\) | |||||||
\(230\) | 1.65399 | − | 0.577327i | 0.109061 | − | 0.0380678i | ||||
\(231\) | −0.0214823 | + | 0.00889824i | −0.00141343 | + | 0.000585461i | ||||
\(232\) | −12.4546 | − | 12.3669i | −0.817683 | − | 0.811924i | ||||
\(233\) | −21.9739 | + | 9.10190i | −1.43956 | + | 0.596285i | −0.959691 | − | 0.281056i | \(-0.909315\pi\) |
−0.479868 | + | 0.877341i | \(0.659315\pi\) | |||||||
\(234\) | −17.5472 | + | 4.72393i | −1.14710 | + | 0.308813i | ||||
\(235\) | 4.10445 | − | 3.19800i | 0.267745 | − | 0.208615i | ||||
\(236\) | 1.93386 | − | 3.94489i | 0.125884 | − | 0.256791i | ||||
\(237\) | 0.00236400 | 0.000470230i | 0.000153559 | 3.05447e-5i | ||||||
\(238\) | 7.60513 | + | 15.3760i | 0.492967 | + | 0.996677i | ||||
\(239\) | −1.00056 | − | 1.00056i | −0.0647211 | − | 0.0647211i | 0.674005 | − | 0.738726i | \(-0.264572\pi\) |
−0.738726 | + | 0.674005i | \(0.764572\pi\) | |||||||
\(240\) | −0.000660119 | 0.0123648i | −4.26105e−5 | 0.000798146i | ||||||
\(241\) | 13.3350 | − | 13.3350i | 0.858982 | − | 0.858982i | −0.132236 | − | 0.991218i | \(-0.542216\pi\) |
0.991218 | + | 0.132236i | \(0.0422157\pi\) | |||||||
\(242\) | 11.6317 | + | 3.93316i | 0.747715 | + | 0.252833i | ||||
\(243\) | −0.00729223 | + | 0.0366605i | −0.000467797 | + | 0.00235177i | ||||
\(244\) | −23.1089 | − | 1.45997i | −1.47939 | − | 0.0934649i | ||||
\(245\) | −2.01979 | + | 16.2717i | −0.129040 | + | 1.03956i | ||||
\(246\) | −0.00347199 | − | 0.00199911i | −0.000221366 | − | 0.000127458i | ||||
\(247\) | 13.8189 | + | 33.3618i | 0.879275 | + | 2.12276i | ||||
\(248\) | 5.98995 | − | 9.03354i | 0.380362 | − | 0.573630i | ||||
\(249\) | −0.000595312 | − | 0.00143721i | −3.77264e−5 | − | 9.10795e-5i | ||||
\(250\) | 15.0870 | + | 4.73094i | 0.954187 | + | 0.299211i | ||||
\(251\) | −11.7797 | + | 17.6296i | −0.743529 | + | 1.11277i | 0.246117 | + | 0.969240i | \(0.420845\pi\) |
−0.989646 | + | 0.143530i | \(0.954155\pi\) | |||||||
\(252\) | −18.0537 | − | 13.7856i | −1.13727 | − | 0.868412i | ||||
\(253\) | −2.04354 | + | 1.36545i | −0.128476 | + | 0.0858450i | ||||
\(254\) | 0.702978 | + | 10.5352i | 0.0441088 | + | 0.661038i | ||||
\(255\) | 0.00311849 | − | 0.00941515i | 0.000195287 | − | 0.000589599i | ||||
\(256\) | 13.7804 | − | 8.13022i | 0.861275 | − | 0.508139i | ||||
\(257\) | 6.16981 | − | 6.16981i | 0.384862 | − | 0.384862i | −0.487988 | − | 0.872850i | \(-0.662269\pi\) |
0.872850 | + | 0.487988i | \(0.162269\pi\) | |||||||
\(258\) | 0.00595216 | − | 0.00680329i | 0.000370565 | − | 0.000423554i | ||||
\(259\) | 0.889518 | − | 4.47191i | 0.0552720 | − | 0.277871i | ||||
\(260\) | −15.8222 | + | 10.7968i | −0.981250 | + | 0.669591i | ||||
\(261\) | −15.4788 | − | 10.3426i | −0.958113 | − | 0.640191i | ||||
\(262\) | 12.9241 | + | 16.8020i | 0.798455 | + | 1.03803i | ||||
\(263\) | −8.14105 | + | 19.6542i | −0.501999 | + | 1.21193i | 0.446395 | + | 0.894836i | \(0.352708\pi\) |
−0.948393 | + | 0.317096i | \(0.897292\pi\) | |||||||
\(264\) | −0.00344926 | − | 0.0170259i | −0.000212287 | − | 0.00104787i | ||||
\(265\) | −1.88219 | − | 25.7902i | −0.115622 | − | 1.58428i | ||||
\(266\) | −22.5232 | + | 39.1176i | −1.38098 | + | 2.39845i | ||||
\(267\) | −0.00331514 | − | 0.00221511i | −0.000202884 | − | 0.000135562i | ||||
\(268\) | 9.78578 | + | 11.1057i | 0.597761 | + | 0.678386i | ||||
\(269\) | 0.243342 | + | 0.364187i | 0.0148368 | + | 0.0222049i | 0.838814 | − | 0.544418i | \(-0.183250\pi\) |
−0.823977 | + | 0.566623i | \(0.808250\pi\) | |||||||
\(270\) | 0.00365186 | + | 0.0260120i | 0.000222245 | + | 0.00158304i | ||||
\(271\) | 20.1536 | + | 20.1536i | 1.22424 | + | 1.22424i | 0.966110 | + | 0.258131i | \(0.0831067\pi\) |
0.258131 | + | 0.966110i | \(0.416893\pi\) | |||||||
\(272\) | −12.3633 | + | 3.37526i | −0.749637 | + | 0.204655i | ||||
\(273\) | 0.0224488i | 0.00135866i | ||||||||
\(274\) | 12.1176 | + | 4.09745i | 0.732049 | + | 0.247536i | ||||
\(275\) | −22.1540 | − | 1.12297i | −1.33593 | − | 0.0677178i | ||||
\(276\) | 0.00137728 | 0.000675171i | 8.29027e−5 | 4.06405e-5i | ||||||
\(277\) | −2.67789 | − | 1.78931i | −0.160899 | − | 0.107509i | 0.472514 | − | 0.881323i | \(-0.343347\pi\) |
−0.633413 | + | 0.773814i | \(0.718347\pi\) | |||||||
\(278\) | −11.6424 | − | 6.70346i | −0.698263 | − | 0.402047i | ||||
\(279\) | 4.39952 | − | 10.6214i | 0.263393 | − | 0.635886i | ||||
\(280\) | −22.7560 | − | 7.44811i | −1.35993 | − | 0.445110i | ||||
\(281\) | −5.49793 | − | 13.2732i | −0.327979 | − | 0.791812i | −0.998742 | − | 0.0501401i | \(-0.984033\pi\) |
0.670763 | − | 0.741672i | \(-0.265967\pi\) | |||||||
\(282\) | 0.00451753 | 0.000589331i | 0.000269015 | 3.50941e-5i | ||||||
\(283\) | −0.743100 | − | 3.73582i | −0.0441727 | − | 0.222071i | 0.952393 | − | 0.304872i | \(-0.0986136\pi\) |
−0.996566 | + | 0.0828005i | \(0.973614\pi\) | |||||||
\(284\) | 23.3865 | − | 13.5758i | 1.38773 | − | 0.805574i | ||||
\(285\) | 0.0251584 | − | 0.00694116i | 0.00149025 | − | 0.000411159i | ||||
\(286\) | 17.6950 | − | 20.2252i | 1.04632 | − | 1.19594i | ||||
\(287\) | 5.47806 | − | 5.47806i | 0.323360 | − | 0.323360i | ||||
\(288\) | 12.6930 | − | 11.2644i | 0.747943 | − | 0.663762i | ||||
\(289\) | −6.73473 | −0.396161 | ||||||||
\(290\) | −18.9974 | − | 4.91604i | −1.11557 | − | 0.288680i | ||||
\(291\) | −0.000788791 | 0.00396552i | −4.62398e−5 | 0.000232463i | ||||||
\(292\) | −14.3448 | + | 8.32709i | −0.839465 | + | 0.487306i | ||||
\(293\) | 19.2415 | − | 3.82736i | 1.12410 | − | 0.223597i | 0.402170 | − | 0.915565i | \(-0.368256\pi\) |
0.721928 | + | 0.691968i | \(0.243256\pi\) | |||||||
\(294\) | −0.0113793 | + | 0.00875299i | −0.000663657 | + | 0.000510485i | ||||
\(295\) | −0.357529 | − | 4.89895i | −0.0208162 | − | 0.285228i | ||||
\(296\) | 3.15172 | + | 1.29245i | 0.183190 | + | 0.0751223i | ||||
\(297\) | −0.0141023 | − | 0.0340460i | −0.000818299 | − | 0.00197555i | ||||
\(298\) | −17.5939 | − | 10.1302i | −1.01919 | − | 0.586828i | ||||
\(299\) | 0.462914 | + | 2.32723i | 0.0267710 | + | 0.134587i | ||||
\(300\) | 0.00633519 | + | 0.0123094i | 0.000365762 | + | 0.000710684i | ||||
\(301\) | 9.71120 | + | 14.5338i | 0.559744 | + | 0.837717i | ||||
\(302\) | 6.33129 | + | 12.8005i | 0.364325 | + | 0.736589i | ||||
\(303\) | −0.0154068 | −0.000885095 | ||||||||
\(304\) | −25.4588 | − | 22.1154i | −1.46016 | − | 1.26841i | ||||
\(305\) | −23.1329 | + | 11.6215i | −1.32458 | + | 0.665446i | ||||
\(306\) | −12.1843 | + | 6.02647i | −0.696528 | + | 0.344510i | ||||
\(307\) | −10.7284 | − | 2.13401i | −0.612301 | − | 0.121794i | −0.120808 | − | 0.992676i | \(-0.538549\pi\) |
−0.491493 | + | 0.870882i | \(0.663549\pi\) | |||||||
\(308\) | 33.5250 | + | 2.11803i | 1.91026 | + | 0.120686i | ||||
\(309\) | 0.000753495 | 0.00378808i | 4.28648e−5 | 0.000215496i | ||||||
\(310\) | 0.688802 | − | 12.0988i | 0.0391213 | − | 0.687166i | ||||
\(311\) | 5.49136 | − | 13.2573i | 0.311387 | − | 0.751754i | −0.688268 | − | 0.725457i | \(-0.741628\pi\) |
0.999654 | − | 0.0262968i | \(-0.00837150\pi\) | |||||||
\(312\) | −0.0164607 | − | 0.00321382i | −0.000931906 | − | 0.000181946i | ||||
\(313\) | −6.72683 | − | 2.78634i | −0.380223 | − | 0.157493i | 0.184382 | − | 0.982855i | \(-0.440972\pi\) |
−0.564605 | + | 0.825361i | \(0.690972\pi\) | |||||||
\(314\) | 35.0429 | + | 4.57150i | 1.97759 | + | 0.257985i | ||||
\(315\) | −25.2029 | − | 3.12842i | −1.42002 | − | 0.176267i | ||||
\(316\) | −2.76753 | − | 2.11326i | −0.155686 | − | 0.118880i | ||||
\(317\) | 4.57317 | + | 6.84423i | 0.256855 | + | 0.384410i | 0.937377 | − | 0.348318i | \(-0.113247\pi\) |
−0.680522 | + | 0.732728i | \(0.738247\pi\) | |||||||
\(318\) | 0.0149083 | − | 0.0170401i | 0.000836016 | − | 0.000955562i | ||||
\(319\) | 27.5301 | 1.54139 | ||||||||
\(320\) | 8.71918 | − | 15.6197i | 0.487417 | − | 0.873169i | ||||
\(321\) | 0.00745036 | 0.000415839 | ||||||||
\(322\) | −1.95302 | + | 2.23229i | −0.108838 | + | 0.124401i | ||||
\(323\) | 15.0069 | + | 22.4594i | 0.835006 | + | 1.24967i | ||||
\(324\) | 10.9240 | − | 14.3061i | 0.606890 | − | 0.794784i | ||||
\(325\) | −9.18665 | + | 19.3455i | −0.509584 | + | 1.07309i | ||||
\(326\) | −19.7222 | − | 2.57284i | −1.09231 | − | 0.142496i | ||||
\(327\) | 0.0122039 | + | 0.00505500i | 0.000674875 | + | 0.000279542i | ||||
\(328\) | 3.23258 | + | 4.80108i | 0.178489 | + | 0.265095i | ||||
\(329\) | −3.37127 | + | 8.13896i | −0.185864 | + | 0.448716i | ||||
\(330\) | −0.0129308 | − | 0.0144920i | −0.000711817 | − | 0.000797759i | ||||
\(331\) | −2.30426 | − | 11.5843i | −0.126654 | − | 0.636731i | −0.991003 | − | 0.133839i | \(-0.957269\pi\) |
0.864350 | − | 0.502892i | \(-0.167731\pi\) | |||||||
\(332\) | −0.141701 | + | 2.24289i | −0.00777686 | + | 0.123095i | ||||
\(333\) | 3.54364 | + | 0.704873i | 0.194190 | + | 0.0386268i | ||||
\(334\) | −12.4340 | + | 6.15001i | −0.680360 | + | 0.336513i | ||||
\(335\) | 15.7097 | + | 5.20338i | 0.858315 | + | 0.284291i | ||||
\(336\) | −0.00936088 | − | 0.0187587i | −0.000510678 | − | 0.00102337i | ||||
\(337\) | −8.59905 | −0.468420 | −0.234210 | − | 0.972186i | \(-0.575250\pi\) | ||||
−0.234210 | + | 0.972186i | \(0.575250\pi\) | |||||||
\(338\) | −3.35164 | − | 6.77633i | −0.182305 | − | 0.368584i | ||||
\(339\) | −0.00383774 | − | 0.00574358i | −0.000208437 | − | 0.000311948i | ||||
\(340\) | −10.0324 | + | 10.2301i | −0.544084 | + | 0.554807i | ||||
\(341\) | 3.31680 | + | 16.6747i | 0.179615 | + | 0.902984i | ||||
\(342\) | −30.9976 | − | 17.8478i | −1.67616 | − | 0.965100i | ||||
\(343\) | −0.482095 | − | 1.16388i | −0.0260307 | − | 0.0628436i | ||||
\(344\) | −12.0473 | + | 5.04012i | −0.649548 | + | 0.271745i | ||||
\(345\) | 0.00171037 | 0.000124824i | 9.20833e−5 | 6.72032e-6i | ||||||
\(346\) | 5.80853 | − | 4.46793i | 0.312269 | − | 0.240197i | ||||
\(347\) | 25.7333 | − | 5.11867i | 1.38144 | − | 0.274785i | 0.552213 | − | 0.833703i | \(-0.313784\pi\) |
0.829222 | + | 0.558919i | \(0.188784\pi\) | |||||||
\(348\) | −0.00862577 | − | 0.0148593i | −0.000462390 | − | 0.000796543i | ||||
\(349\) | 3.17395 | − | 15.9565i | 0.169898 | − | 0.854134i | −0.797974 | − | 0.602692i | \(-0.794095\pi\) |
0.967872 | − | 0.251443i | \(-0.0809051\pi\) | |||||||
\(350\) | −26.1689 | + | 5.64151i | −1.39879 | + | 0.301551i | ||||
\(351\) | −0.0355778 | −0.00189900 | ||||||||
\(352\) | −6.35257 | + | 24.2792i | −0.338593 | + | 1.29409i | ||||
\(353\) | 21.7817 | − | 21.7817i | 1.15932 | − | 1.15932i | 0.174699 | − | 0.984622i | \(-0.444105\pi\) |
0.984622 | − | 0.174699i | \(-0.0558951\pi\) | |||||||
\(354\) | 0.00283189 | − | 0.00323684i | 0.000150513 | − | 0.000172036i | ||||
\(355\) | 14.9223 | − | 26.2938i | 0.791995 | − | 1.39553i | ||||
\(356\) | 2.89176 | + | 4.98154i | 0.153263 | + | 0.264021i | ||||
\(357\) | 0.00327602 | + | 0.0164697i | 0.000173386 | + | 0.000871668i | ||||
\(358\) | −34.0965 | − | 4.44803i | −1.80205 | − | 0.235086i | ||||
\(359\) | −2.09226 | − | 5.05117i | −0.110425 | − | 0.266591i | 0.859000 | − | 0.511975i | \(-0.171086\pi\) |
−0.969426 | + | 0.245384i | \(0.921086\pi\) | |||||||
\(360\) | 5.90204 | − | 18.0323i | 0.311065 | − | 0.950388i | ||||
\(361\) | −19.9293 | + | 48.1136i | −1.04891 | + | 2.53229i | ||||
\(362\) | −12.1862 | − | 7.01659i | −0.640493 | − | 0.368784i | ||||
\(363\) | 0.00999413 | + | 0.00667786i | 0.000524556 | + | 0.000350497i | ||||
\(364\) | 14.2753 | − | 29.1203i | 0.748231 | − | 1.52632i | ||||
\(365\) | −9.15303 | + | 16.1280i | −0.479092 | + | 0.844180i | ||||
\(366\) | −0.0214724 | − | 0.00726071i | −0.00112238 | − | 0.000379523i | ||||
\(367\) | 22.4678i | 1.17281i | 0.810019 | + | 0.586404i | \(0.199457\pi\) | ||||
−0.810019 | + | 0.586404i | \(0.800543\pi\) | |||||||
\(368\) | −1.35725 | − | 1.75165i | −0.0707514 | − | 0.0913109i | ||||
\(369\) | 4.34093 | + | 4.34093i | 0.225980 | + | 0.225980i | ||||
\(370\) | 3.77151 | − | 0.529487i | 0.196072 | − | 0.0275267i | ||||
\(371\) | 24.3235 | + | 36.4027i | 1.26281 | + | 1.88994i | ||||
\(372\) | 0.00796090 | − | 0.00701477i | 0.000412753 | − | 0.000363699i | ||||
\(373\) | 11.6402 | + | 7.77772i | 0.602706 | + | 0.402715i | 0.819150 | − | 0.573580i | \(-0.194446\pi\) |
−0.216444 | + | 0.976295i | \(0.569446\pi\) | |||||||
\(374\) | 10.0305 | − | 17.4206i | 0.518663 | − | 0.900800i | ||||
\(375\) | 0.0130573 | + | 0.00831127i | 0.000674275 | + | 0.000429192i | ||||
\(376\) | −5.48532 | − | 3.63720i | −0.282884 | − | 0.187574i | ||||
\(377\) | 10.1713 | − | 24.5557i | 0.523848 | − | 1.26468i | ||||
\(378\) | −0.0271147 | − | 0.0352505i | −0.00139463 | − | 0.00181309i | ||||
\(379\) | −0.615563 | − | 0.411306i | −0.0316193 | − | 0.0211274i | 0.539660 | − | 0.841883i | \(-0.318553\pi\) |
−0.571279 | + | 0.820756i | \(0.693553\pi\) | |||||||
\(380\) | −37.0491 | − | 6.99441i | −1.90058 | − | 0.358806i | ||||
\(381\) | −0.00201646 | + | 0.0101374i | −0.000103306 | + | 0.000519356i | ||||
\(382\) | −11.1600 | + | 12.7559i | −0.570997 | + | 0.652647i | ||||
\(383\) | 1.77584 | − | 1.77584i | 0.0907413 | − | 0.0907413i | −0.660279 | − | 0.751020i | \(-0.729562\pi\) |
0.751020 | + | 0.660279i | \(0.229562\pi\) | |||||||
\(384\) | 0.0150951 | − | 0.00417841i | 0.000770316 | − | 0.000213229i | ||||
\(385\) | 33.5598 | − | 16.8598i | 1.71036 | − | 0.859255i | ||||
\(386\) | −2.13042 | − | 31.9276i | −0.108435 | − | 1.62507i | ||||
\(387\) | −11.5169 | + | 7.69536i | −0.585438 | + | 0.391177i | ||||
\(388\) | 3.54491 | − | 4.64243i | 0.179966 | − | 0.235683i | ||||
\(389\) | 15.1350 | − | 22.6512i | 0.767376 | − | 1.14846i | −0.217646 | − | 0.976028i | \(-0.569838\pi\) |
0.985022 | − | 0.172431i | \(-0.0551622\pi\) | |||||||
\(390\) | −0.0177037 | + | 0.00617948i | −0.000896460 | + | 0.000312910i | ||||
\(391\) | 0.679239 | + | 1.63983i | 0.0343506 | + | 0.0829297i | ||||
\(392\) | 20.3272 | − | 4.11806i | 1.02668 | − | 0.207994i | ||||
\(393\) | 0.00794097 | + | 0.0191712i | 0.000400569 | + | 0.000967060i | ||||
\(394\) | 21.3699 | + | 12.3044i | 1.07660 | + | 0.619885i | ||||
\(395\) | −3.86347 | − | 0.479571i | −0.194392 | − | 0.0241298i | ||||
\(396\) | −1.67838 | + | 26.5659i | −0.0843415 | + | 1.33499i | ||||
\(397\) | 0.317304 | − | 1.59519i | 0.0159250 | − | 0.0800605i | −0.972006 | − | 0.234958i | \(-0.924505\pi\) |
0.987931 | + | 0.154897i | \(0.0495047\pi\) | |||||||
\(398\) | −13.7103 | − | 4.63602i | −0.687236 | − | 0.232383i | ||||
\(399\) | −0.0312448 | + | 0.0312448i | −0.00156420 | + | 0.00156420i | ||||
\(400\) | −0.390285 | − | 19.9962i | −0.0195142 | − | 0.999810i | ||||
\(401\) | −20.1510 | − | 20.1510i | −1.00629 | − | 1.00629i | −0.999980 | − | 0.00631175i | \(-0.997991\pi\) |
−0.00631175 | − | 0.999980i | \(-0.502009\pi\) | |||||||
\(402\) | 0.00642401 | + | 0.0129880i | 0.000320400 | + | 0.000647783i | ||||
\(403\) | 16.0985 | + | 3.20219i | 0.801924 | + | 0.159513i | ||||
\(404\) | 19.9854 | + | 9.79727i | 0.994313 | + | 0.487432i | ||||
\(405\) | 2.47903 | − | 19.9713i | 0.123184 | − | 0.992382i | ||||
\(406\) | 32.0816 | − | 8.63675i | 1.59218 | − | 0.428635i | ||||
\(407\) | −4.93637 | + | 2.04471i | −0.244687 | + | 0.101353i | ||||
\(408\) | −0.0125455 | 4.43339e-5i | −0.000621096 | 2.19485e-6i | ||||||
\(409\) | −25.4928 | + | 10.5595i | −1.26054 | + | 0.522132i | −0.910074 | − | 0.414445i | \(-0.863976\pi\) |
−0.350463 | + | 0.936577i | \(0.613976\pi\) | |||||||
\(410\) | 5.82808 | + | 2.81219i | 0.287828 | + | 0.138884i | ||||
\(411\) | 0.0104116 | + | 0.00695680i | 0.000513566 | + | 0.000343154i | ||||
\(412\) | 1.43144 | − | 5.39300i | 0.0705220 | − | 0.265694i | ||||
\(413\) | 4.62035 | + | 6.91485i | 0.227353 | + | 0.340257i | ||||
\(414\) | −1.76892 | − | 1.54762i | −0.0869375 | − | 0.0760612i | ||||
\(415\) | 1.12796 | + | 2.24522i | 0.0553693 | + | 0.110214i | ||||
\(416\) | 19.3090 | + | 14.6364i | 0.946700 | + | 0.717610i | ||||
\(417\) | −0.00929924 | − | 0.00929924i | −0.000455386 | − | 0.000455386i | ||||
\(418\) | 52.7783 | − | 3.52172i | 2.58147 | − | 0.172253i | ||||
\(419\) | −4.80035 | − | 0.954850i | −0.234513 | − | 0.0466475i | 0.0764348 | − | 0.997075i | \(-0.475646\pi\) |
−0.310947 | + | 0.950427i | \(0.600646\pi\) | |||||||
\(420\) | −0.0196150 | − | 0.0128313i | −0.000957116 | − | 0.000626103i | ||||
\(421\) | −11.6202 | + | 17.3908i | −0.566332 | + | 0.847575i | −0.998530 | − | 0.0542032i | \(-0.982738\pi\) |
0.432198 | + | 0.901779i | \(0.357738\pi\) | |||||||
\(422\) | −12.3299 | − | 1.60849i | −0.600210 | − | 0.0783000i | ||||
\(423\) | −6.44949 | − | 2.67147i | −0.313585 | − | 0.129891i | ||||
\(424\) | −30.1748 | + | 12.6239i | −1.46542 | + | 0.613072i | ||||
\(425\) | −3.91669 | + | 15.5335i | −0.189988 | + | 0.753488i | ||||
\(426\) | 0.0255611 | − | 0.00688136i | 0.00123844 | − | 0.000333403i | ||||
\(427\) | 24.3510 | − | 36.4439i | 1.17843 | − | 1.76364i | ||||
\(428\) | −9.66451 | − | 4.73774i | −0.467152 | − | 0.229007i | ||||
\(429\) | 0.0218732 | − | 0.0146152i | 0.00105605 | − | 0.000705629i | ||||
\(430\) | −8.78854 | + | 11.6592i | −0.423821 | + | 0.562258i | ||||
\(431\) | 9.26370 | − | 9.26370i | 0.446217 | − | 0.446217i | −0.447878 | − | 0.894095i | \(-0.647820\pi\) |
0.894095 | + | 0.447878i | \(0.147820\pi\) | |||||||
\(432\) | 0.0297295 | − | 0.0148355i | 0.00143036 | − | 0.000713775i | ||||
\(433\) | 4.43206 | 0.212991 | 0.106496 | − | 0.994313i | \(-0.466037\pi\) | ||||
0.106496 | + | 0.994313i | \(0.466037\pi\) | |||||||
\(434\) | 9.09634 | + | 18.3909i | 0.436638 | + | 0.882792i | ||||
\(435\) | −0.0167065 | − | 0.00948134i | −0.000801017 | − | 0.000454596i | ||||
\(436\) | −12.6162 | − | 14.3178i | −0.604205 | − | 0.685698i | ||||
\(437\) | −2.59480 | + | 3.88339i | −0.124126 | + | 0.185768i | ||||
\(438\) | −0.0156786 | + | 0.00422088i | −0.000749155 | + | 0.000201681i | ||||
\(439\) | −5.83571 | − | 2.41723i | −0.278523 | − | 0.115368i | 0.239049 | − | 0.971007i | \(-0.423164\pi\) |
−0.517573 | + | 0.855639i | \(0.673164\pi\) | |||||||
\(440\) | 7.55809 | + | 27.0216i | 0.360318 | + | 1.28821i | ||||
\(441\) | 20.3237 | − | 8.41837i | 0.967797 | − | 0.400875i | ||||
\(442\) | −11.8326 | − | 15.3830i | −0.562819 | − | 0.731694i | ||||
\(443\) | −8.09952 | + | 1.61109i | −0.384820 | + | 0.0765454i | −0.383709 | − | 0.923454i | \(-0.625353\pi\) |
−0.00111051 | + | 0.999999i | \(0.500353\pi\) | |||||||
\(444\) | 0.00265030 | + | 0.00202374i | 0.000125778 | + | 9.60427e-5i | ||||
\(445\) | 5.60081 | + | 3.17859i | 0.265504 | + | 0.150679i | ||||
\(446\) | 1.85082 | + | 27.7373i | 0.0876387 | + | 1.31340i | ||||
\(447\) | −0.0140530 | − | 0.0140530i | −0.000664682 | − | 0.000664682i | ||||
\(448\) | 0.214056 | + | 30.2861i | 0.0101132 | + | 1.43089i | ||||
\(449\) | − | 8.62763i | − | 0.407163i | −0.979058 | − | 0.203581i | \(-0.934742\pi\) | ||
0.979058 | − | 0.203581i | \(-0.0652582\pi\) | |||||||
\(450\) | −4.47045 | − | 20.7368i | −0.210739 | − | 0.977542i | ||||
\(451\) | −8.90409 | − | 1.77113i | −0.419277 | − | 0.0833994i | ||||
\(452\) | 1.32588 | + | 9.89094i | 0.0623642 | + | 0.465231i | ||||
\(453\) | 0.00272730 | + | 0.0137110i | 0.000128140 | + | 0.000644201i | ||||
\(454\) | −1.36921 | + | 10.4957i | −0.0642603 | + | 0.492588i | ||||
\(455\) | −2.63920 | − | 36.1629i | −0.123728 | − | 1.69534i | ||||
\(456\) | −0.0184374 | − | 0.0273836i | −0.000863411 | − | 0.00128235i | ||||
\(457\) | 6.41422 | − | 2.65686i | 0.300045 | − | 0.124283i | −0.227582 | − | 0.973759i | \(-0.573082\pi\) |
0.527627 | + | 0.849476i | \(0.323082\pi\) | |||||||
\(458\) | 5.94372 | + | 22.0782i | 0.277732 | + | 1.03165i | ||||
\(459\) | −0.0261019 | + | 0.00519198i | −0.00121833 | + | 0.000242341i | ||||
\(460\) | −2.29805 | − | 0.925717i | −0.107147 | − | 0.0431618i | ||||
\(461\) | 21.8085 | − | 14.5720i | 1.01572 | − | 0.678684i | 0.0679689 | − | 0.997687i | \(-0.478348\pi\) |
0.947754 | + | 0.319003i | \(0.103348\pi\) | |||||||
\(462\) | 0.0311509 | + | 0.0105334i | 0.00144927 | + | 0.000490058i | ||||
\(463\) | 11.8322i | 0.549887i | 0.961460 | + | 0.274943i | \(0.0886591\pi\) | ||||
−0.961460 | + | 0.274943i | \(0.911341\pi\) | |||||||
\(464\) | 1.74009 | + | 24.7605i | 0.0807818 | + | 1.14948i | ||||
\(465\) | 0.00372996 | − | 0.0112613i | 0.000172973 | − | 0.000522229i | ||||
\(466\) | 31.8639 | + | 10.7745i | 1.47607 | + | 0.499118i | ||||
\(467\) | −2.21214 | + | 11.1212i | −0.102366 | + | 0.514628i | 0.895247 | + | 0.445570i | \(0.146999\pi\) |
−0.997613 | + | 0.0690572i | \(0.978001\pi\) | |||||||
\(468\) | 23.0755 | + | 11.3121i | 1.06667 | + | 0.522901i | ||||
\(469\) | −27.4806 | + | 5.46624i | −1.26894 | + | 0.252408i | ||||
\(470\) | −7.34660 | − | 0.418252i | −0.338873 | − | 0.0192925i | ||||
\(471\) | 0.0319615 | + | 0.0132389i | 0.00147271 | + | 0.000610015i | ||||
\(472\) | −5.73182 | + | 2.39796i | −0.263828 | + | 0.110375i | ||||
\(473\) | 7.83876 | − | 18.9244i | 0.360427 | − | 0.870147i | ||||
\(474\) | −0.00207827 | − | 0.00270186i | −9.54582e−5 | − | 0.000124101i | ||||
\(475\) | −39.7118 | + | 14.1393i | −1.82210 | + | 0.648756i | ||||
\(476\) | 6.22357 | − | 23.4475i | 0.285257 | − | 1.07471i | ||||
\(477\) | −28.8463 | + | 19.2745i | −1.32078 | + | 0.882518i | ||||
\(478\) | 0.133232 | + | 1.99669i | 0.00609389 | + | 0.0913264i | ||||
\(479\) | 25.6306i | 1.17109i | 0.810639 | + | 0.585546i | \(0.199120\pi\) | ||||
−0.810639 | + | 0.585546i | \(0.800880\pi\) | |||||||
\(480\) | 0.0122168 | − | 0.0125459i | 0.000557617 | − | 0.000572640i | ||||
\(481\) | 5.15847i | 0.235206i | ||||||||
\(482\) | −26.6108 | + | 1.77565i | −1.21209 | + | 0.0808785i | ||||
\(483\) | −0.00241418 | + | 0.00161311i | −0.000109849 | + | 7.33989e-5i | ||||
\(484\) | −8.71776 | − | 15.0178i | −0.396262 | − | 0.682626i | ||||
\(485\) | 0.804461 | − | 6.48082i | 0.0365287 | − | 0.294279i | ||||
\(486\) | 0.0418999 | − | 0.0322294i | 0.00190062 | − | 0.00146196i | ||||
\(487\) | −3.07780 | + | 7.43047i | −0.139468 | + | 0.336707i | −0.978145 | − | 0.207923i | \(-0.933330\pi\) |
0.838677 | + | 0.544629i | \(0.183330\pi\) | |||||||
\(488\) | 23.2366 | + | 23.0730i | 1.05187 | + | 1.04446i | ||||
\(489\) | −0.0179879 | − | 0.00745083i | −0.000813441 | − | 0.000336938i | ||||
\(490\) | 17.3020 | − | 15.4381i | 0.781625 | − | 0.697421i | ||||
\(491\) | −31.9018 | + | 6.34566i | −1.43971 | + | 0.286376i | −0.852358 | − | 0.522958i | \(-0.824828\pi\) |
−0.587349 | + | 0.809334i | \(0.699828\pi\) | |||||||
\(492\) | 0.00183388 | + | 0.00536090i | 8.26775e−5 | + | 0.000241688i | ||||
\(493\) | 3.87874 | − | 19.4997i | 0.174690 | − | 0.878224i | ||||
\(494\) | 16.3583 | − | 48.3771i | 0.735994 | − | 2.17659i | ||||
\(495\) | 13.3601 | + | 26.5935i | 0.600490 | + | 1.19529i | ||||
\(496\) | −14.7875 | + | 4.03708i | −0.663979 | + | 0.181270i | ||||
\(497\) | 51.1873i | 2.29606i | ||||||||
\(498\) | −0.000704708 | 0.00208406i | −3.15787e−5 | 9.33892e-5i | ||||||
\(499\) | 2.34292 | − | 1.56549i | 0.104883 | − | 0.0700808i | −0.502022 | − | 0.864855i | \(-0.667411\pi\) |
0.606906 | + | 0.794774i | \(0.292411\pi\) | |||||||
\(500\) | −11.6526 | − | 19.0845i | −0.521118 | − | 0.853485i | ||||
\(501\) | −0.0133185 | + | 0.00264921i | −0.000595025 | + | 0.000118358i | ||||
\(502\) | 28.9546 | − | 7.79492i | 1.29231 | − | 0.347904i | ||||
\(503\) | −25.4998 | + | 10.5624i | −1.13698 | + | 0.470953i | −0.870149 | − | 0.492790i | \(-0.835977\pi\) |
−0.266833 | + | 0.963743i | \(0.585977\pi\) | |||||||
\(504\) | 6.37840 | + | 31.4845i | 0.284116 | + | 1.40243i | ||||
\(505\) | 24.8188 | − | 1.81130i | 1.10442 | − | 0.0806018i | ||||
\(506\) | 3.44657 | + | 0.449620i | 0.153219 | + | 0.0199880i | ||||
\(507\) | −0.00144377 | − | 0.00725833i | −6.41201e−5 | − | 0.000322354i | ||||
\(508\) | 9.06219 | − | 11.8679i | 0.402070 | − | 0.526551i | ||||
\(509\) | −14.2429 | − | 2.83309i | −0.631306 | − | 0.125575i | −0.130943 | − | 0.991390i | \(-0.541800\pi\) |
−0.500364 | + | 0.865815i | \(0.666800\pi\) | |||||||
\(510\) | −0.0120866 | + | 0.00711716i | −0.000535204 | + | 0.000315153i | ||||
\(511\) | − | 31.3972i | − | 1.38893i | ||||||
\(512\) | −22.2382 | − | 4.17887i | −0.982798 | − | 0.184682i | ||||
\(513\) | −0.0495181 | − | 0.0495181i | −0.00218628 | − | 0.00218628i | ||||
\(514\) | −12.3122 | + | 0.821554i | −0.543070 | + | 0.0362372i | ||||
\(515\) | −1.65916 | − | 6.01365i | −0.0731112 | − | 0.264993i | ||||
\(516\) | −0.0126705 | + | 0.00169848i | −0.000557787 | + | 7.47713e-5i | ||||
\(517\) | 10.1251 | − | 2.01402i | 0.445303 | − | 0.0885764i | ||||
\(518\) | −5.11102 | + | 3.93140i | −0.224565 | + | 0.172736i | ||||
\(519\) | 0.00662757 | − | 0.00274523i | 0.000290918 | − | 0.000120502i | ||||
\(520\) | 26.8945 | + | 3.24194i | 1.17940 | + | 0.142169i | ||||
\(521\) | −2.96041 | − | 1.22624i | −0.129698 | − | 0.0537226i | 0.316891 | − | 0.948462i | \(-0.397361\pi\) |
−0.446588 | + | 0.894739i | \(0.647361\pi\) | |||||||
\(522\) | 6.84394 | + | 25.4221i | 0.299551 | + | 1.11270i | ||||
\(523\) | 11.7638 | − | 17.6058i | 0.514397 | − | 0.769849i | −0.479806 | − | 0.877375i | \(-0.659293\pi\) |
0.994202 | + | 0.107526i | \(0.0342928\pi\) | |||||||
\(524\) | 1.89018 | − | 29.9184i | 0.0825728 | − | 1.30699i | ||||
\(525\) | −0.0261721 | − | 0.00132665i | −0.00114224 | − | 5.78998e-5i | ||||
\(526\) | 26.9671 | − | 13.3382i | 1.17582 | − | 0.581574i | ||||
\(527\) | 12.2781 | 0.534841 | ||||||||
\(528\) | −0.0121833 | + | 0.0213337i | −0.000530211 | + | 0.000928428i | ||||
\(529\) | 16.0464 | − | 16.0464i | 0.697672 | − | 0.697672i | ||||
\(530\) | −22.0126 | + | 29.2027i | −0.956164 | + | 1.26849i | ||||
\(531\) | −5.47947 | + | 3.66126i | −0.237789 | + | 0.158885i | ||||
\(532\) | 60.3992 | − | 20.6616i | 2.61864 | − | 0.895793i | ||||
\(533\) | −4.86948 | + | 7.28769i | −0.210921 | + | 0.315665i | ||||
\(534\) | 0.00146579 | + | 0.00544474i | 6.34310e−5 | + | 0.000235617i | ||||
\(535\) | −12.0018 | + | 0.875904i | −0.518885 | + | 0.0378686i | ||||
\(536\) | −0.0739737 | − | 20.9329i | −0.00319518 | − | 0.904166i | ||||
\(537\) | −0.0310982 | − | 0.0128813i | −0.00134199 | − | 0.000555869i | ||||
\(538\) | 0.0801285 | − | 0.614226i | 0.00345458 | − | 0.0264812i | ||||
\(539\) | −18.0736 | + | 27.0491i | −0.778485 | + | 1.16509i | ||||
\(540\) | 0.0203356 | − | 0.0310868i | 0.000875104 | − | 0.00133776i | ||||
\(541\) | 11.2186 | + | 2.23152i | 0.482326 | + | 0.0959406i | 0.430264 | − | 0.902703i | \(-0.358421\pi\) |
0.0520622 | + | 0.998644i | \(0.483421\pi\) | |||||||
\(542\) | −2.68359 | − | 40.2177i | −0.115270 | − | 1.72750i | ||||
\(543\) | −0.00973362 | − | 0.00973362i | −0.000417710 | − | 0.000417710i | ||||
\(544\) | 16.3021 | + | 7.92027i | 0.698946 | + | 0.339579i | ||||
\(545\) | −20.2536 | − | 6.70838i | −0.867567 | − | 0.287356i | ||||
\(546\) | 0.0209044 | − | 0.0238936i | 0.000894624 | − | 0.00102255i | ||||
\(547\) | −16.9050 | − | 25.3002i | −0.722807 | − | 1.08176i | −0.992903 | − | 0.118924i | \(-0.962055\pi\) |
0.270096 | − | 0.962833i | \(-0.412945\pi\) | |||||||
\(548\) | −9.08190 | − | 15.6451i | −0.387959 | − | 0.668324i | ||||
\(549\) | 28.8789 | + | 19.2963i | 1.23252 | + | 0.823545i | ||||
\(550\) | 22.5341 | + | 21.8251i | 0.960856 | + | 0.930624i | ||||
\(551\) | 48.3339 | − | 20.0206i | 2.05909 | − | 0.852904i | ||||
\(552\) | −0.000837202 | − | 0.00200115i | −3.56337e−5 | − | 8.51748e-5i | ||||
\(553\) | 6.08966 | − | 2.52242i | 0.258959 | − | 0.107264i | ||||
\(554\) | 1.18403 | + | 4.39813i | 0.0503046 | + | 0.186858i | ||||
\(555\) | 0.00369981 | 0.000459256i | 0.000157048 | 1.94943e-5i | ||||||
\(556\) | 6.14940 | + | 17.9763i | 0.260793 | + | 0.762365i | ||||
\(557\) | −22.0301 | − | 4.38206i | −0.933446 | − | 0.185674i | −0.295138 | − | 0.955455i | \(-0.595366\pi\) |
−0.638308 | + | 0.769781i | \(0.720366\pi\) | |||||||
\(558\) | −14.5733 | + | 7.20813i | −0.616939 | + | 0.305145i | ||||
\(559\) | −13.9837 | − | 13.9837i | −0.591446 | − | 0.591446i | ||||
\(560\) | 17.2849 | + | 29.1179i | 0.730419 | + | 1.23046i | ||||
\(561\) | 0.0139146 | − | 0.0139146i | 0.000587474 | − | 0.000587474i | ||||
\(562\) | −6.50825 | + | 19.2471i | −0.274534 | + | 0.811891i | ||||
\(563\) | −5.06976 | + | 25.4874i | −0.213665 | + | 1.07417i | 0.713827 | + | 0.700322i | \(0.246960\pi\) |
−0.927492 | + | 0.373844i | \(0.878040\pi\) | |||||||
\(564\) | −0.00425949 | − | 0.00483399i | −0.000179357 | − | 0.000203548i | ||||
\(565\) | 6.85748 | + | 8.80118i | 0.288496 | + | 0.370269i | ||||
\(566\) | −2.68788 | + | 4.66823i | −0.112980 | + | 0.196220i | ||||
\(567\) | 13.0391 | + | 31.4791i | 0.547589 | + | 1.32200i | ||||
\(568\) | −37.5335 | − | 7.32808i | −1.57487 | − | 0.307480i | ||||
\(569\) | −7.18774 | − | 17.3527i | −0.301326 | − | 0.727465i | −0.999929 | − | 0.0119550i | \(-0.996195\pi\) |
0.698603 | − | 0.715510i | \(-0.253805\pi\) | |||||||
\(570\) | −0.0332412 | − | 0.0160397i | −0.00139232 | − | 0.000671828i | ||||
\(571\) | −23.1146 | + | 34.5935i | −0.967318 | + | 1.44769i | −0.0745281 | + | 0.997219i | \(0.523745\pi\) |
−0.892789 | + | 0.450474i | \(0.851255\pi\) | |||||||
\(572\) | −37.6676 | + | 5.04934i | −1.57496 | + | 0.211123i | ||||
\(573\) | −0.0137952 | + | 0.00921768i | −0.000576304 | + | 0.000385074i | ||||
\(574\) | −10.9318 | + | 0.729442i | −0.456285 | + | 0.0304463i | ||||
\(575\) | −2.74057 | + | 0.402161i | −0.114290 | + | 0.0167713i | ||||
\(576\) | −23.9994 | + | 0.169622i | −0.999974 | + | 0.00706759i | ||||
\(577\) | 13.7999 | − | 13.7999i | 0.574496 | − | 0.574496i | −0.358886 | − | 0.933382i | \(-0.616843\pi\) |
0.933382 | + | 0.358886i | \(0.116843\pi\) | |||||||
\(578\) | 7.16818 | + | 6.27140i | 0.298157 | + | 0.260856i | ||||
\(579\) | 0.00611100 | − | 0.0307221i | 0.000253965 | − | 0.00127677i | ||||
\(580\) | 15.6423 | + | 22.9229i | 0.649509 | + | 0.951821i | ||||
\(581\) | −3.53716 | − | 2.36346i | −0.146746 | − | 0.0980527i | ||||
\(582\) | 0.00453226 | − | 0.00348622i | 0.000187868 | − | 0.000144508i | ||||
\(583\) | 19.6336 | − | 47.3998i | 0.813142 | − | 1.96310i | ||||
\(584\) | 23.0222 | + | 4.49489i | 0.952666 | + | 0.186000i | ||||
\(585\) | 28.6562 | − | 2.09136i | 1.18479 | − | 0.0864670i | ||||
\(586\) | −24.0439 | − | 13.8440i | −0.993244 | − | 0.571891i | ||||
\(587\) | −18.0112 | − | 12.0347i | −0.743401 | − | 0.496725i | 0.125264 | − | 0.992123i | \(-0.460022\pi\) |
−0.868666 | + | 0.495398i | \(0.835022\pi\) | |||||||
\(588\) | 0.0202625 | + | 0.00128014i | 0.000835612 | + | 5.27922e-5i | ||||
\(589\) | 17.9494 | + | 26.8632i | 0.739594 | + | 1.10688i | ||||
\(590\) | −4.18137 | + | 5.54717i | −0.172144 | + | 0.228374i | ||||
\(591\) | 0.0170690 | + | 0.0170690i | 0.000702124 | + | 0.000702124i | ||||
\(592\) | −2.15102 | − | 4.31052i | −0.0884065 | − | 0.177161i | ||||
\(593\) | − | 37.6001i | − | 1.54405i | −0.635592 | − | 0.772025i | \(-0.719244\pi\) | ||
0.635592 | − | 0.772025i | \(-0.280756\pi\) | |||||||
\(594\) | −0.0166938 | + | 0.0493693i | −0.000684955 | + | 0.00202565i | ||||
\(595\) | −7.21363 | − | 26.1460i | −0.295730 | − | 1.07188i | ||||
\(596\) | 9.29294 | + | 27.1657i | 0.380654 | + | 1.11275i | ||||
\(597\) | −0.0117801 | − | 0.00787120i | −0.000482127 | − | 0.000322147i | ||||
\(598\) | 1.67441 | − | 2.90807i | 0.0684718 | − | 0.118920i | ||||
\(599\) | −1.22356 | + | 2.95394i | −0.0499934 | + | 0.120695i | −0.946903 | − | 0.321519i | \(-0.895807\pi\) |
0.896910 | + | 0.442214i | \(0.145807\pi\) | |||||||
\(600\) | 0.00471963 | − | 0.0190010i | 0.000192678 | − | 0.000775712i | ||||
\(601\) | −1.23435 | − | 2.97999i | −0.0503504 | − | 0.121557i | 0.896703 | − | 0.442633i | \(-0.145955\pi\) |
−0.947053 | + | 0.321076i | \(0.895955\pi\) | |||||||
\(602\) | 3.19774 | − | 24.5123i | 0.130330 | − | 0.999048i | ||||
\(603\) | −4.33156 | − | 21.7762i | −0.176395 | − | 0.886797i | ||||
\(604\) | 5.18114 | − | 19.5201i | 0.210817 | − | 0.794262i | ||||
\(605\) | −16.8847 | − | 9.58245i | −0.686460 | − | 0.389582i | ||||
\(606\) | 0.0163983 | + | 0.0143468i | 0.000666137 | + | 0.000582799i | ||||
\(607\) | 11.9707 | − | 11.9707i | 0.485876 | − | 0.485876i | −0.421126 | − | 0.907002i | \(-0.638365\pi\) |
0.907002 | + | 0.421126i | \(0.138365\pi\) | |||||||
\(608\) | 6.50338 | + | 47.2461i | 0.263747 | + | 1.91608i | ||||
\(609\) | 0.0325234 | 0.00131791 | ||||||||
\(610\) | 35.4437 | + | 9.17191i | 1.43507 | + | 0.371360i | ||||
\(611\) | 1.94443 | − | 9.77529i | 0.0786630 | − | 0.395466i | ||||
\(612\) | 18.5803 | + | 4.93169i | 0.751064 | + | 0.199352i | ||||
\(613\) | 0.779926 | − | 0.155137i | 0.0315009 | − | 0.00626592i | −0.179315 | − | 0.983792i | \(-0.557388\pi\) |
0.210816 | + | 0.977526i | \(0.432388\pi\) | |||||||
\(614\) | 9.43166 | + | 12.2617i | 0.380631 | + | 0.494840i | ||||
\(615\) | 0.00479343 | + | 0.00414136i | 0.000193290 | + | 0.000166996i | ||||
\(616\) | −33.7103 | − | 33.4729i | −1.35823 | − | 1.34866i | ||||
\(617\) | −11.8878 | − | 28.6996i | −0.478584 | − | 1.15540i | −0.960273 | − | 0.279062i | \(-0.909977\pi\) |
0.481689 | − | 0.876342i | \(-0.340023\pi\) | |||||||
\(618\) | 0.00272548 | − | 0.00473353i | 0.000109635 | − | 0.000190411i | ||||
\(619\) | 0.878875 | + | 4.41840i | 0.0353250 | + | 0.177591i | 0.994420 | − | 0.105494i | \(-0.0336423\pi\) |
−0.959095 | + | 0.283084i | \(0.908642\pi\) | |||||||
\(620\) | −11.9996 | + | 12.2361i | −0.481914 | + | 0.491412i | ||||
\(621\) | −0.00255652 | − | 0.00382610i | −0.000102590 | − | 0.000153536i | ||||
\(622\) | −18.1900 | + | 8.99699i | −0.729354 | + | 0.360746i | ||||
\(623\) | −10.9033 | −0.436833 | ||||||||
\(624\) | 0.0145274 | + | 0.0187489i | 0.000581563 | + | 0.000750558i | ||||
\(625\) | −22.0112 | − | 11.8536i | −0.880447 | − | 0.474144i | ||||
\(626\) | 4.56511 | + | 9.22971i | 0.182459 | + | 0.368893i | ||||
\(627\) | 0.0507856 | + | 0.0101019i | 0.00202818 | + | 0.000403430i | ||||
\(628\) | −33.0413 | − | 37.4978i | −1.31849 | − | 1.49633i | ||||
\(629\) | 0.752792 | + | 3.78454i | 0.0300158 | + | 0.150900i | ||||
\(630\) | 23.9118 | + | 26.7988i | 0.952667 | + | 1.06769i | ||||
\(631\) | 4.02839 | − | 9.72540i | 0.160368 | − | 0.387162i | −0.823187 | − | 0.567770i | \(-0.807806\pi\) |
0.983555 | + | 0.180608i | \(0.0578064\pi\) | |||||||
\(632\) | 0.977775 | + | 4.82641i | 0.0388938 | + | 0.191984i | ||||
\(633\) | −0.0112457 | − | 0.00465811i | −0.000446976 | − | 0.000185143i | ||||
\(634\) | 1.50587 | − | 11.5433i | 0.0598057 | − | 0.458442i | ||||
\(635\) | 2.05652 | − | 16.5675i | 0.0816104 | − | 0.657462i | ||||
\(636\) | −0.0317356 | + | 0.00425415i | −0.00125840 | + | 0.000168688i | ||||
\(637\) | 17.4491 | + | 26.1144i | 0.691358 | + | 1.03469i | ||||
\(638\) | −29.3019 | − | 25.6361i | −1.16008 | − | 1.01494i | ||||
\(639\) | −40.5619 | −1.60460 | ||||||||
\(640\) | −23.8255 | + | 8.50568i | −0.941785 | + | 0.336217i | ||||
\(641\) | −7.18404 | −0.283752 | −0.141876 | − | 0.989884i | \(-0.545313\pi\) | ||||
−0.141876 | + | 0.989884i | \(0.545313\pi\) | |||||||
\(642\) | −0.00792986 | − | 0.00693780i | −0.000312967 | − | 0.000273813i | ||||
\(643\) | −22.2197 | − | 33.2541i | −0.876258 | − | 1.31141i | −0.949393 | − | 0.314091i | \(-0.898300\pi\) |
0.0731344 | − | 0.997322i | \(-0.476700\pi\) | |||||||
\(644\) | 4.15743 | − | 0.557304i | 0.163826 | − | 0.0219609i | ||||
\(645\) | −0.0112745 | + | 0.00878456i | −0.000443932 | + | 0.000345892i | ||||
\(646\) | 4.94153 | − | 37.8794i | 0.194422 | − | 1.49034i | ||||
\(647\) | 12.6523 | + | 5.24076i | 0.497414 | + | 0.206036i | 0.617263 | − | 0.786757i | \(-0.288241\pi\) |
−0.119850 | + | 0.992792i | \(0.538241\pi\) | |||||||
\(648\) | −24.9490 | + | 5.05438i | −0.980088 | + | 0.198555i | ||||
\(649\) | 3.72949 | − | 9.00378i | 0.146395 | − | 0.353429i | ||||
\(650\) | 27.7924 | − | 12.0359i | 1.09011 | − | 0.472087i | ||||
\(651\) | 0.00391838 | + | 0.0196990i | 0.000153574 | + | 0.000772066i | ||||
\(652\) | 18.5956 | + | 21.1037i | 0.728261 | + | 0.826487i | ||||
\(653\) | 9.27763 | + | 1.84543i | 0.363062 | + | 0.0722174i | 0.373250 | − | 0.927731i | \(-0.378243\pi\) |
−0.0101888 | + | 0.999948i | \(0.503243\pi\) | |||||||
\(654\) | −0.00828206 | − | 0.0167446i | −0.000323854 | − | 0.000654766i | ||||
\(655\) | −15.0460 | − | 29.9494i | −0.587897 | − | 1.17022i | ||||
\(656\) | 1.03015 | − | 8.12026i | 0.0402207 | − | 0.317043i | ||||
\(657\) | 24.8798 | 0.970653 | ||||||||
\(658\) | 11.1673 | − | 5.52345i | 0.435345 | − | 0.215327i | ||||
\(659\) | 9.88298 | + | 14.7909i | 0.384986 | + | 0.576173i | 0.972460 | − | 0.233071i | \(-0.0748773\pi\) |
−0.587473 | + | 0.809243i | \(0.699877\pi\) | |||||||
\(660\) | 0.000268014 | 0.0274659i | 1.04324e−5 | 0.00106911i | ||||||
\(661\) | 7.17398 | + | 36.0660i | 0.279035 | + | 1.40281i | 0.825064 | + | 0.565039i | \(0.191139\pi\) |
−0.546029 | + | 0.837767i | \(0.683861\pi\) | |||||||
\(662\) | −8.33477 | + | 14.4756i | −0.323940 | + | 0.562610i | ||||
\(663\) | −0.00727030 | − | 0.0175521i | −0.000282355 | − | 0.000681666i | ||||
\(664\) | 2.23941 | − | 2.25529i | 0.0869060 | − | 0.0875224i | ||||
\(665\) | 46.6592 | − | 54.0058i | 1.80936 | − | 2.09425i | ||||
\(666\) | −3.11532 | − | 4.05008i | −0.120716 | − | 0.156937i | ||||
\(667\) | 3.37164 | − | 0.670661i | 0.130550 | − | 0.0259681i | ||||
\(668\) | 18.9612 | + | 5.03279i | 0.733630 | + | 0.194724i | ||||
\(669\) | −0.00530898 | + | 0.0266901i | −0.000205257 | + | 0.00103190i | ||||
\(670\) | −11.8754 | − | 20.1672i | −0.458787 | − | 0.779128i | ||||
\(671\) | −51.3632 | −1.98285 | ||||||||
\(672\) | −0.00750476 | + | 0.0286828i | −0.000289503 | + | 0.00110646i | ||||
\(673\) | −33.6462 | + | 33.6462i | −1.29696 | + | 1.29696i | −0.366576 | + | 0.930388i | \(0.619470\pi\) |
−0.930388 | + | 0.366576i | \(0.880530\pi\) | |||||||
\(674\) | 9.15248 | + | 8.00746i | 0.352540 | + | 0.308436i | ||||
\(675\) | 0.00210253 | − | 0.0414787i | 8.09266e−5 | − | 0.00159652i | ||||
\(676\) | −2.74278 | + | 10.3335i | −0.105492 | + | 0.397443i | ||||
\(677\) | −1.99604 | − | 10.0348i | −0.0767140 | − | 0.385667i | −0.999999 | − | 0.00155122i | \(-0.999506\pi\) |
0.923285 | − | 0.384116i | \(-0.125494\pi\) | |||||||
\(678\) | −0.00126370 | + | 0.00968695i | −4.85323e−5 | + | 0.000372025i | ||||
\(679\) | 4.23126 | + | 10.2152i | 0.162381 | + | 0.392022i | ||||
\(680\) | 20.2044 | − | 1.54634i | 0.774805 | − | 0.0592993i | ||||
\(681\) | −0.00396518 | + | 0.00957278i | −0.000151946 | + | 0.000366830i | ||||
\(682\) | 11.9972 | − | 20.8365i | 0.459398 | − | 0.797870i | ||||
\(683\) | 42.1925 | + | 28.1921i | 1.61445 | + | 1.07874i | 0.940409 | + | 0.340046i | \(0.110443\pi\) |
0.674041 | + | 0.738694i | \(0.264557\pi\) | |||||||
\(684\) | 16.3727 | + | 47.8616i | 0.626025 | + | 1.83003i | ||||
\(685\) | −17.5900 | − | 9.98271i | −0.672078 | − | 0.381420i | ||||
\(686\) | −0.570685 | + | 1.68771i | −0.0217889 | + | 0.0644372i | ||||
\(687\) | 0.0223823i | 0.000853936i | ||||||||
\(688\) | 17.5161 | + | 5.85401i | 0.667793 | + | 0.223182i | ||||
\(689\) | −35.0247 | − | 35.0247i | −1.33433 | − | 1.33433i | ||||
\(690\) | −0.00193669 | − | 0.00145985i | −7.37285e−5 | − | 5.55754e-5i | ||||
\(691\) | 5.28443 | + | 7.90870i | 0.201029 | + | 0.300861i | 0.918263 | − | 0.395971i | \(-0.129592\pi\) |
−0.717234 | + | 0.696833i | \(0.754592\pi\) | |||||||
\(692\) | −10.3429 | − | 0.653443i | −0.393179 | − | 0.0248402i | ||||
\(693\) | −41.8958 | − | 27.9939i | −1.59149 | − | 1.06340i | ||||
\(694\) | −32.1560 | − | 18.5148i | −1.22062 | − | 0.702812i | ||||
\(695\) | 16.0735 | + | 13.8869i | 0.609701 | + | 0.526761i | ||||
\(696\) | −0.00465612 | + | 0.0238480i | −0.000176490 | + | 0.000903956i | ||||
\(697\) | −2.50901 | + | 6.05728i | −0.0950354 | + | 0.229436i | ||||
\(698\) | −18.2370 | + | 14.0279i | −0.690281 | + | 0.530964i | ||||
\(699\) | 0.0273779 | + | 0.0182933i | 0.00103553 | + | 0.000691917i | ||||
\(700\) | 33.1065 | + | 18.3640i | 1.25131 | + | 0.694092i | ||||
\(701\) | −3.27069 | + | 16.4429i | −0.123532 | + | 0.621038i | 0.868566 | + | 0.495574i | \(0.165042\pi\) |
−0.992098 | + | 0.125465i | \(0.959958\pi\) | |||||||
\(702\) | 0.0378676 | + | 0.0331301i | 0.00142922 | + | 0.00125042i | ||||
\(703\) | −7.17969 | + | 7.17969i | −0.270787 | + | 0.270787i | ||||
\(704\) | 29.3703 | − | 19.9263i | 1.10693 | − | 0.751000i | ||||
\(705\) | −0.00683803 | − | 0.00226489i | −0.000257535 | − | 8.53008e-5i | ||||
\(706\) | −43.4667 | + | 2.90038i | −1.63589 | + | 0.109157i | ||||
\(707\) | −35.0317 | + | 23.4074i | −1.31750 | + | 0.880327i | ||||
\(708\) | −0.00602830 | 0.000808094i | −0.000226557 | 3.03700e-5i | ||||||
\(709\) | −20.0420 | + | 29.9950i | −0.752693 | + | 1.12648i | 0.235291 | + | 0.971925i | \(0.424396\pi\) |
−0.987983 | + | 0.154560i | \(0.950604\pi\) | |||||||
\(710\) | −40.3676 | + | 14.0903i | −1.51497 | + | 0.528801i | ||||
\(711\) | 1.99882 | + | 4.82558i | 0.0749616 | + | 0.180973i | ||||
\(712\) | 1.56095 | − | 7.99496i | 0.0584989 | − | 0.299624i | ||||
\(713\) | 0.812424 | + | 1.96136i | 0.0304255 | + | 0.0734537i | ||||
\(714\) | 0.0118497 | − | 0.0205803i | 0.000443465 | − | 0.000770198i | ||||
\(715\) | −33.5175 | + | 26.1153i | −1.25348 | + | 0.976656i | ||||
\(716\) | 32.1489 | + | 36.4850i | 1.20146 | + | 1.36351i | ||||
\(717\) | −0.000382170 | 0.00192130i | −1.42724e−5 | 7.17522e-5i | ||||||
\(718\) | −2.47674 | + | 7.32459i | −0.0924313 | + | 0.273351i | ||||
\(719\) | 9.62089 | − | 9.62089i | 0.358799 | − | 0.358799i | −0.504571 | − | 0.863370i | \(-0.668349\pi\) |
0.863370 | + | 0.504571i | \(0.168349\pi\) | |||||||
\(720\) | −23.0737 | + | 13.6969i | −0.859905 | + | 0.510453i | ||||
\(721\) | 7.46850 | + | 7.46850i | 0.278142 | + | 0.278142i | ||||
\(722\) | 66.0154 | − | 32.6519i | 2.45684 | − | 1.21518i | ||||
\(723\) | −0.0256061 | − | 0.00509336i | −0.000952300 | − | 0.000189424i | ||||
\(724\) | 6.43665 | + | 18.8160i | 0.239216 | + | 0.699292i | ||||
\(725\) | 28.0273 | + | 13.3094i | 1.04091 | + | 0.494300i | ||||
\(726\) | −0.00441890 | − | 0.0164142i | −0.000164001 | − | 0.000609188i | ||||
\(727\) | −31.6746 | + | 13.1201i | −1.17475 | + | 0.486596i | −0.882759 | − | 0.469826i | \(-0.844317\pi\) |
−0.291988 | + | 0.956422i | \(0.594317\pi\) | |||||||
\(728\) | −42.3110 | + | 17.7012i | −1.56815 | + | 0.656050i | ||||
\(729\) | −24.9447 | + | 10.3324i | −0.923876 | + | 0.382682i | ||||
\(730\) | 24.7606 | − | 8.64271i | 0.916431 | − | 0.319881i | ||||
\(731\) | −12.2999 | − | 8.21851i | −0.454927 | − | 0.303973i | ||||
\(732\) | 0.0160932 | + | 0.0277232i | 0.000594822 | + | 0.00102468i | ||||
\(733\) | −1.92795 | − | 2.88538i | −0.0712105 | − | 0.106574i | 0.794155 | − | 0.607715i | \(-0.207914\pi\) |
−0.865366 | + | 0.501141i | \(0.832914\pi\) | |||||||
\(734\) | 20.9220 | − | 23.9138i | 0.772247 | − | 0.882674i | ||||
\(735\) | 0.0202836 | − | 0.0101901i | 0.000748171 | − | 0.000375867i | ||||
\(736\) | −0.186540 | + | 3.12825i | −0.00687595 | + | 0.115309i | ||||
\(737\) | 23.2173 | + | 23.2173i | 0.855220 | + | 0.855220i | ||||
\(738\) | −0.578025 | − | 8.66260i | −0.0212774 | − | 0.318875i | ||||
\(739\) | −30.4740 | − | 6.06165i | −1.12100 | − | 0.222981i | −0.400408 | − | 0.916337i | \(-0.631132\pi\) |
−0.720596 | + | 0.693356i | \(0.756132\pi\) | |||||||
\(740\) | −4.50731 | − | 2.94848i | −0.165692 | − | 0.108388i | ||||
\(741\) | 0.0277737 | − | 0.0415663i | 0.00102029 | − | 0.00152698i | ||||
\(742\) | 8.00934 | − | 61.3957i | 0.294032 | − | 2.25391i | ||||
\(743\) | 10.0227 | + | 4.15153i | 0.367696 | + | 0.152305i | 0.558878 | − | 0.829250i | \(-0.311232\pi\) |
−0.191182 | + | 0.981555i | \(0.561232\pi\) | |||||||
\(744\) | −0.0150054 | 5.30268e-5i | −0.000550126 | 1.94406e-6i | ||||||
\(745\) | 24.2901 | + | 20.9859i | 0.889922 | + | 0.768862i | ||||
\(746\) | −5.14671 | − | 19.1177i | −0.188434 | − | 0.699948i | ||||
\(747\) | 1.87285 | − | 2.80292i | 0.0685241 | − | 0.102554i | ||||
\(748\) | −26.8982 | + | 9.20143i | −0.983495 | + | 0.336438i | ||||
\(749\) | 16.9405 | − | 11.3193i | 0.618994 | − | 0.413599i | ||||
\(750\) | −0.00615817 | − | 0.0210052i | −0.000224865 | − | 0.000767000i | ||||
\(751\) | −10.3290 | + | 10.3290i | −0.376911 | + | 0.376911i | −0.869987 | − | 0.493075i | \(-0.835873\pi\) |
0.493075 | + | 0.869987i | \(0.335873\pi\) | |||||||
\(752\) | 2.45138 | + | 8.97923i | 0.0893927 | + | 0.327439i | ||||
\(753\) | 0.0293533 | 0.00106969 | ||||||||
\(754\) | −33.6922 | + | 16.6645i | −1.22700 | + | 0.606886i | ||||
\(755\) | −6.00536 | − | 21.7666i | −0.218558 | − | 0.792167i | ||||
\(756\) | −0.00396558 | + | 0.0627686i | −0.000144227 | + | 0.00228287i | ||||
\(757\) | 18.2430 | − | 27.3026i | 0.663055 | − | 0.992331i | −0.335677 | − | 0.941977i | \(-0.608965\pi\) |
0.998731 | − | 0.0503541i | \(-0.0160350\pi\) | |||||||
\(758\) | 0.272171 | + | 1.01099i | 0.00988570 | + | 0.0367208i | ||||
\(759\) | 0.00314350 | + | 0.00130208i | 0.000114102 | + | 4.72625e-5i | ||||
\(760\) | 32.9203 | + | 41.9448i | 1.19415 | + | 1.52150i | ||||
\(761\) | −41.1656 | + | 17.0513i | −1.49225 | + | 0.618110i | −0.971805 | − | 0.235785i | \(-0.924234\pi\) |
−0.520445 | + | 0.853895i | \(0.674234\pi\) | |||||||
\(762\) | 0.0115862 | − | 0.00891214i | 0.000419725 | − | 0.000322853i | ||||
\(763\) | 35.4290 | − | 7.04727i | 1.28262 | − | 0.255128i | ||||
\(764\) | 23.7566 | − | 3.18457i | 0.859483 | − | 0.115214i | ||||
\(765\) | 20.7186 | − | 5.71623i | 0.749083 | − | 0.206671i | ||||
\(766\) | −3.54380 | + | 0.236466i | −0.128043 | + | 0.00854386i | ||||
\(767\) | −6.65308 | − | 6.65308i | −0.240229 | − | 0.240229i | ||||
\(768\) | −0.0199575 | − | 0.00960922i | −0.000720155 | − | 0.000346743i | ||||
\(769\) | − | 12.7972i | − | 0.461480i | −0.973015 | − | 0.230740i | \(-0.925885\pi\) | ||
0.973015 | − | 0.230740i | \(-0.0741147\pi\) | |||||||
\(770\) | −51.4196 | − | 13.3061i | −1.85303 | − | 0.479517i | ||||
\(771\) | −0.0118474 | − | 0.00235659i | −0.000426673 | − | 8.48705e-5i | ||||
\(772\) | −27.4635 | + | 35.9663i | −0.988433 | + | 1.29445i | ||||
\(773\) | 2.95020 | + | 14.8317i | 0.106111 | + | 0.533458i | 0.996875 | + | 0.0789918i | \(0.0251701\pi\) |
−0.890764 | + | 0.454467i | \(0.849830\pi\) | |||||||
\(774\) | 19.4241 | + | 2.53396i | 0.698185 | + | 0.0910812i | ||||
\(775\) | −4.68468 | + | 18.5794i | −0.168279 | + | 0.667390i | ||||
\(776\) | −8.09610 | + | 1.64018i | −0.290633 | + | 0.0588790i | ||||
\(777\) | −0.00583170 | + | 0.00241557i | −0.000209211 | + | 8.66581e-5i | ||||
\(778\) | −37.2019 | + | 10.0152i | −1.33375 | + | 0.359063i | ||||
\(779\) | −16.9207 | + | 3.36573i | −0.606246 | + | 0.120590i | ||||
\(780\) | 0.0245974 | + | 0.00990851i | 0.000880729 | + | 0.000354782i | ||||
\(781\) | 49.8749 | − | 33.3254i | 1.78467 | − | 1.19248i | ||||
\(782\) | 0.804058 | − | 2.37788i | 0.0287530 | − | 0.0850327i | ||||
\(783\) | 0.0515444i | 0.00184205i | ||||||||
\(784\) | −25.4702 | − | 14.5457i | −0.909651 | − | 0.519488i | ||||
\(785\) | −53.0433 | − | 17.5690i | −1.89320 | − | 0.627065i | ||||
\(786\) | 0.00940023 | − | 0.0277997i | 0.000335295 | − | 0.000991583i | ||||
\(787\) | 1.98327 | − | 9.97059i | 0.0706960 | − | 0.355413i | −0.929204 | − | 0.369568i | \(-0.879506\pi\) |
0.999900 | + | 0.0141548i | \(0.00450575\pi\) | |||||||
\(788\) | −11.2874 | − | 32.9960i | −0.402096 | − | 1.17543i | ||||
\(789\) | 0.0288852 | − | 0.00574563i | 0.00102834 | − | 0.000204550i | ||||
\(790\) | 3.66555 | + | 4.10811i | 0.130414 | + | 0.146160i | ||||
\(791\) | −17.4524 | − | 7.22902i | −0.620536 | − | 0.257034i | ||||
\(792\) | 26.5246 | − | 26.7128i | 0.942512 | − | 0.949197i | ||||
\(793\) | −18.9767 | + | 45.8137i | −0.673881 | + | 1.62689i | ||||
\(794\) | −1.82318 | + | 1.40239i | −0.0647021 | + | 0.0497688i | ||||
\(795\) | −0.0282390 | + | 0.0220026i | −0.00100154 | + | 0.000780351i | ||||
\(796\) | 10.2756 | + | 17.7015i | 0.364210 | + | 0.627412i | ||||
\(797\) | 9.65415 | − | 6.45070i | 0.341968 | − | 0.228495i | −0.372713 | − | 0.927947i | \(-0.621572\pi\) |
0.714680 | + | 0.699451i | \(0.246572\pi\) | |||||||
\(798\) | 0.0623510 | − | 0.00416047i | 0.00220720 | − | 0.000147279i | ||||
\(799\) | − | 7.45545i | − | 0.263755i | ||||||
\(800\) | −18.2051 | + | 21.6466i | −0.643648 | + | 0.765322i | ||||
\(801\) | − | 8.64004i | − | 0.305281i | ||||||
\(802\) | 2.68324 | + | 40.2125i | 0.0947486 | + | 1.41995i | ||||
\(803\) | −30.5922 | + | 20.4411i | −1.07958 | + | 0.721349i | ||||
\(804\) | 0.00525701 | − | 0.0198060i | 0.000185401 | − | 0.000698502i | ||||
\(805\) | 3.69938 | − | 2.88239i | 0.130386 | − | 0.101591i | ||||
\(806\) | −14.1527 | − | 18.3993i | −0.498508 | − | 0.648086i | ||||
\(807\) | 0.000232048 | 0 | 0.000560214i | 8.16849e−6 | 0 | 1.97205e-5i | ||||
\(808\) | −12.1485 | − | 29.0383i | −0.427381 | − | 1.02156i | ||||
\(809\) | 25.4364 | + | 10.5361i | 0.894296 | + | 0.370429i | 0.782024 | − | 0.623248i | \(-0.214187\pi\) |
0.112272 | + | 0.993678i | \(0.464187\pi\) | |||||||
\(810\) | −21.2359 | + | 18.9482i | −0.746154 | + | 0.665771i | ||||
\(811\) | −14.2019 | + | 2.82493i | −0.498695 | + | 0.0991966i | −0.438028 | − | 0.898961i | \(-0.644323\pi\) |
−0.0606674 | + | 0.998158i | \(0.519323\pi\) | |||||||
\(812\) | −42.1889 | − | 20.6818i | −1.48054 | − | 0.725791i | ||||
\(813\) | 0.00769775 | − | 0.0386992i | 0.000269972 | − | 0.00135724i | ||||
\(814\) | 7.15812 | + | 2.42045i | 0.250892 | + | 0.0848369i | ||||
\(815\) | 29.8528 | + | 9.88783i | 1.04570 | + | 0.346356i | ||||
\(816\) | 0.0133942 | + | 0.0116352i | 0.000468892 | + | 0.000407315i | ||||
\(817\) | − | 38.9257i | − | 1.36184i | ||||||
\(818\) | 36.9665 | + | 12.4999i | 1.29250 | + | 0.437049i | ||||
\(819\) | −40.4482 | + | 27.0266i | −1.41337 | + | 0.944386i | ||||
\(820\) | −3.58446 | − | 8.42030i | −0.125175 | − | 0.294050i | ||||
\(821\) | 28.8005 | − | 5.72877i | 1.00514 | − | 0.199936i | 0.335041 | − | 0.942204i | \(-0.391250\pi\) |
0.670103 | + | 0.742268i | \(0.266250\pi\) | |||||||
\(822\) | −0.00460348 | − | 0.0170998i | −0.000160565 | − | 0.000596425i | ||||
\(823\) | 6.09212 | − | 2.52344i | 0.212358 | − | 0.0879615i | −0.273969 | − | 0.961739i | \(-0.588337\pi\) |
0.486327 | + | 0.873777i | \(0.338337\pi\) | |||||||
\(824\) | −6.54554 | + | 4.40713i | −0.228025 | + | 0.153530i | ||||
\(825\) | 0.0157467 | + | 0.0263648i | 0.000548228 | + | 0.000917905i | ||||
\(826\) | 1.52141 | − | 11.6624i | 0.0529365 | − | 0.405786i | ||||
\(827\) | 4.01988 | + | 20.2093i | 0.139785 | + | 0.702746i | 0.985576 | + | 0.169232i | \(0.0541287\pi\) |
−0.845791 | + | 0.533514i | \(0.820871\pi\) | |||||||
\(828\) | 0.441619 | + | 3.29444i | 0.0153473 | + | 0.114490i | ||||
\(829\) | −31.3055 | − | 6.22705i | −1.08729 | − | 0.216275i | −0.381265 | − | 0.924466i | \(-0.624511\pi\) |
−0.706021 | + | 0.708191i | \(0.749511\pi\) | |||||||
\(830\) | 0.890205 | − | 3.44008i | 0.0308995 | − | 0.119407i | ||||
\(831\) | 0.00445869i | 0.000154670i | ||||||||
\(832\) | −6.92222 | − | 33.5590i | −0.239985 | − | 1.16345i | ||||
\(833\) | 16.6126 | + | 16.6126i | 0.575592 | + | 0.575592i | ||||
\(834\) | 0.00123826 | + | 0.0185572i | 4.28774e−5 | + | 0.000642583i | ||||
\(835\) | 21.1433 | − | 5.83341i | 0.731695 | − | 0.201874i | ||||
\(836\) | −59.4546 | − | 45.3990i | −2.05628 | − | 1.57016i | ||||
\(837\) | −0.0312199 | + | 0.00621002i | −0.00107912 | + | 0.000214650i | ||||
\(838\) | 4.22014 | + | 5.48640i | 0.145782 | + | 0.189525i | ||||
\(839\) | −27.9779 | + | 11.5888i | −0.965903 | + | 0.400090i | −0.809185 | − | 0.587553i | \(-0.800091\pi\) |
−0.156718 | + | 0.987643i | \(0.550091\pi\) | |||||||
\(840\) | 0.00892893 | + | 0.0319227i | 0.000308077 | + | 0.00110144i | ||||
\(841\) | −8.78327 | − | 3.63815i | −0.302871 | − | 0.125453i | ||||
\(842\) | 28.5624 | − | 7.68934i | 0.984325 | − | 0.264992i | ||||
\(843\) | −0.0110499 | + | 0.0165374i | −0.000380580 | + | 0.000569579i | ||||
\(844\) | 11.6256 | + | 13.1936i | 0.400170 | + | 0.454144i | ||||
\(845\) | 3.17911 | + | 11.5227i | 0.109365 | + | 0.396395i | ||||
\(846\) | 4.37690 | + | 8.84918i | 0.150481 | + | 0.304241i | ||||
\(847\) | 32.8702 | 1.12943 | ||||||||
\(848\) | 43.8722 | + | 14.6625i | 1.50658 | + | 0.503511i | ||||
\(849\) | −0.00372870 | + | 0.00372870i | −0.000127969 | + | 0.000127969i | ||||
\(850\) | 18.6337 | − | 12.8860i | 0.639129 | − | 0.441988i | ||||
\(851\) | −0.554751 | + | 0.370673i | −0.0190166 | + | 0.0127065i | ||||
\(852\) | −0.0336142 | − | 0.0164783i | −0.00115160 | − | 0.000564539i | ||||
\(853\) | 16.8230 | − | 25.1774i | 0.576008 | − | 0.862057i | −0.423021 | − | 0.906120i | \(-0.639030\pi\) |
0.999029 | + | 0.0440632i | \(0.0140303\pi\) | |||||||
\(854\) | −59.8549 | + | 16.1137i | −2.04819 | + | 0.551399i | ||||
\(855\) | 42.7953 | + | 36.9737i | 1.46357 | + | 1.26447i | ||||
\(856\) | 5.87472 | + | 14.0423i | 0.200794 | + | 0.479955i | ||||
\(857\) | 34.9809 | + | 14.4896i | 1.19492 | + | 0.494954i | 0.889356 | − | 0.457216i | \(-0.151153\pi\) |
0.305569 | + | 0.952170i | \(0.401153\pi\) | |||||||
\(858\) | −0.0368907 | − | 0.00481255i | −0.00125943 | − | 0.000164298i | ||||
\(859\) | 2.35354 | − | 3.52233i | 0.0803019 | − | 0.120180i | −0.789144 | − | 0.614208i | \(-0.789476\pi\) |
0.869446 | + | 0.494027i | \(0.164476\pi\) | |||||||
\(860\) | 20.2113 | − | 4.22570i | 0.689199 | − | 0.144095i | ||||
\(861\) | −0.0105191 | − | 0.00209237i | −0.000358489 | − | 7.13078e-5i | ||||
\(862\) | −18.4863 | + | 1.23353i | −0.629646 | + | 0.0420141i | ||||
\(863\) | −14.3648 | − | 14.3648i | −0.488985 | − | 0.488985i | 0.419001 | − | 0.907986i | \(-0.362380\pi\) |
−0.907986 | + | 0.419001i | \(0.862380\pi\) | |||||||
\(864\) | −0.0454578 | − | 0.0118939i | −0.00154651 | − | 0.000404638i | ||||
\(865\) | −10.3537 | + | 5.20148i | −0.352035 | + | 0.176856i | ||||
\(866\) | −4.71731 | − | 4.12715i | −0.160301 | − | 0.140246i | ||||
\(867\) | 0.00517989 | + | 0.00775226i | 0.000175918 | + | 0.000263280i | ||||
\(868\) | 7.44388 | − | 28.0451i | 0.252662 | − | 0.951912i | ||||
\(869\) | −6.42241 | − | 4.29132i | −0.217865 | − | 0.145573i | ||||
\(870\) | 0.00895271 | + | 0.0256487i | 0.000303525 | + | 0.000869574i | ||||
\(871\) | 29.2867 | − | 12.1309i | 0.992341 | − | 0.411041i | ||||
\(872\) | 0.0953696 | + | 26.9875i | 0.00322962 | + | 0.913912i | ||||
\(873\) | −8.09471 | + | 3.35294i | −0.273964 | + | 0.113480i | ||||
\(874\) | 6.37802 | − | 1.71704i | 0.215740 | − | 0.0580798i | ||||
\(875\) | 42.3168 | − | 0.939823i | 1.43057 | − | 0.0317718i | ||||
\(876\) | 0.0206182 | + | 0.0101075i | 0.000696625 | + | 0.000341499i | ||||
\(877\) | 29.2028 | + | 5.80880i | 0.986109 | + | 0.196149i | 0.661701 | − | 0.749768i | \(-0.269835\pi\) |
0.324408 | + | 0.945917i | \(0.394835\pi\) | |||||||
\(878\) | 3.96037 | + | 8.00704i | 0.133656 | + | 0.270224i | ||||
\(879\) | −0.0192048 | − | 0.0192048i | −0.000647762 | − | 0.000647762i | ||||
\(880\) | 17.1181 | − | 35.7989i | 0.577051 | − | 1.20678i | ||||
\(881\) | −10.6648 | + | 10.6648i | −0.359307 | + | 0.359307i | −0.863557 | − | 0.504251i | \(-0.831769\pi\) |
0.504251 | + | 0.863557i | \(0.331769\pi\) | |||||||
\(882\) | −29.4710 | − | 9.96535i | −0.992339 | − | 0.335551i | ||||
\(883\) | −3.00593 | + | 15.1118i | −0.101158 | + | 0.508554i | 0.896671 | + | 0.442697i | \(0.145978\pi\) |
−0.997829 | + | 0.0658573i | \(0.979022\pi\) | |||||||
\(884\) | −1.73054 | + | 27.3916i | −0.0582043 | + | 0.921278i | ||||
\(885\) | −0.00536412 | + | 0.00417948i | −0.000180313 | + | 0.000140492i | ||||
\(886\) | 10.1211 | + | 5.82751i | 0.340023 | + | 0.195779i | ||||
\(887\) | 1.82332 | + | 4.40187i | 0.0612209 | + | 0.147800i | 0.951530 | − | 0.307557i | \(-0.0995115\pi\) |
−0.890309 | + | 0.455357i | \(0.849511\pi\) | |||||||
\(888\) | −0.000936356 | − | 0.00462196i | −3.14221e−5 | − | 0.000155103i | ||||
\(889\) | 10.8168 | + | 26.1140i | 0.362783 | + | 0.875835i | ||||
\(890\) | −3.00137 | − | 8.59865i | −0.100606 | − | 0.288227i | ||||
\(891\) | 22.1829 | − | 33.1991i | 0.743157 | − | 1.11221i | ||||
\(892\) | 23.8591 | − | 31.2460i | 0.798863 | − | 1.04619i | ||||
\(893\) | 16.3118 | − | 10.8992i | 0.545854 | − | 0.364728i | ||||
\(894\) | 0.00187125 | + | 0.0280435i | 6.25839e−5 | + | 0.000937916i | ||||
\(895\) | 51.6107 | + | 17.0945i | 1.72516 | + | 0.571406i | ||||
\(896\) | 27.9747 | − | 32.4347i | 0.934569 | − | 1.08357i | ||||
\(897\) | 0.00232279 | − | 0.00232279i | 7.75558e−5 | − | 7.75558e-5i | ||||
\(898\) | −8.03407 | + | 9.18290i | −0.268100 | + | 0.306437i | ||||
\(899\) | 4.63928 | − | 23.3232i | 0.154729 | − | 0.777873i | ||||
\(900\) | −14.5520 | + | 26.2343i | −0.485066 | + | 0.874477i | ||||
\(901\) | −30.8073 | − | 20.5848i | −1.02634 | − | 0.685779i | ||||
\(902\) | 7.82787 | + | 10.1766i | 0.260639 | + | 0.338845i | ||||
\(903\) | 0.00926051 | − | 0.0223569i | 0.000308171 | − | 0.000743989i | ||||
\(904\) | 7.79926 | − | 11.7622i | 0.259400 | − | 0.391204i | ||||
\(905\) | 16.8243 | + | 14.5356i | 0.559258 | + | 0.483180i | ||||
\(906\) | 0.00986494 | − | 0.0171331i | 0.000327741 | − | 0.000569211i | ||||
\(907\) | 23.0955 | + | 15.4319i | 0.766874 | + | 0.512409i | 0.876405 | − | 0.481574i | \(-0.159935\pi\) |
−0.109531 | + | 0.993983i | \(0.534935\pi\) | |||||||
\(908\) | 11.2310 | − | 9.89620i | 0.372713 | − | 0.328417i | ||||
\(909\) | −18.5485 | − | 27.7599i | −0.615216 | − | 0.920737i | ||||
\(910\) | −30.8659 | + | 40.9479i | −1.02320 | + | 1.35741i | ||||
\(911\) | −21.0029 | − | 21.0029i | −0.695857 | − | 0.695857i | 0.267658 | − | 0.963514i | \(-0.413750\pi\) |
−0.963514 | + | 0.267658i | \(0.913750\pi\) | |||||||
\(912\) | −0.00587561 | + | 0.0463149i | −0.000194561 | + | 0.00153364i | ||||
\(913\) | 4.98520i | 0.164986i | ||||||||
\(914\) | −9.30111 | − | 3.14509i | −0.307654 | − | 0.104030i | ||||
\(915\) | 0.0311696 | + | 0.0176894i | 0.00103043 | + | 0.000584795i | ||||
\(916\) | 14.2330 | − | 29.0340i | 0.470273 | − | 0.959309i | ||||
\(917\) | 47.1829 | + | 31.5266i | 1.55812 | + | 1.04110i | ||||
\(918\) | 0.0326165 | + | 0.0187800i | 0.00107651 | + | 0.000619832i | ||||
\(919\) | 20.3841 | − | 49.2115i | 0.672408 | − | 1.62334i | −0.105098 | − | 0.994462i | \(-0.533516\pi\) |
0.777506 | − | 0.628875i | \(-0.216484\pi\) | |||||||
\(920\) | 1.58392 | + | 3.12525i | 0.0522203 | + | 0.103036i | ||||
\(921\) | 0.00579510 | + | 0.0139906i | 0.000190955 | + | 0.000461007i | ||||
\(922\) | −36.7815 | − | 4.79831i | −1.21134 | − | 0.158024i | ||||
\(923\) | −11.2980 | − | 56.7986i | −0.371877 | − | 1.86955i | ||||
\(924\) | −0.0233470 | − | 0.0402191i | −0.000768061 | − | 0.00132311i | ||||
\(925\) | −6.01405 | − | 0.304849i | −0.197741 | − | 0.0100234i | ||||
\(926\) | 11.0181 | − | 12.5937i | 0.362078 | − | 0.413854i | ||||
\(927\) | −5.91820 | + | 5.91820i | −0.194379 | + | 0.194379i | ||||
\(928\) | 21.2050 | − | 27.9745i | 0.696087 | − | 0.918307i | ||||
\(929\) | −4.15958 | −0.136471 | −0.0682357 | − | 0.997669i | \(-0.521737\pi\) | ||||
−0.0682357 | + | 0.997669i | \(0.521737\pi\) | |||||||
\(930\) | −0.0144565 | + | 0.00851269i | −0.000474048 | + | 0.000279142i | ||||
\(931\) | −12.0606 | + | 60.6329i | −0.395271 | + | 1.98716i | ||||
\(932\) | −23.8814 | − | 41.1396i | −0.782261 | − | 1.34757i | ||||
\(933\) | −0.0194839 | + | 0.00387559i | −0.000637874 | + | 0.000126881i | ||||
\(934\) | 12.7106 | − | 9.77700i | 0.415904 | − | 0.319913i | ||||
\(935\) | −20.7792 | + | 24.0509i | −0.679552 | + | 0.786550i | ||||
\(936\) | −14.0268 | − | 33.5281i | −0.458481 | − | 1.09590i | ||||
\(937\) | −6.95672 | − | 16.7950i | −0.227266 | − | 0.548669i | 0.768577 | − | 0.639758i | \(-0.220965\pi\) |
−0.995843 | + | 0.0910886i | \(0.970965\pi\) | |||||||
\(938\) | 34.3395 | + | 19.7720i | 1.12122 | + | 0.645579i | ||||
\(939\) | 0.00196649 | + | 0.00988621i | 6.41740e−5 | + | 0.000322624i | ||||
\(940\) | 7.42994 | + | 7.28634i | 0.242338 | + | 0.237654i | ||||
\(941\) | 5.49224 | + | 8.21972i | 0.179042 | + | 0.267955i | 0.910125 | − | 0.414333i | \(-0.135985\pi\) |
−0.731084 | + | 0.682288i | \(0.760985\pi\) | |||||||
\(942\) | −0.0216904 | − | 0.0438535i | −0.000706712 | − | 0.00142882i | ||||
\(943\) | −1.13364 | −0.0369164 | ||||||||
\(944\) | 8.33371 | + | 2.78519i | 0.271239 | + | 0.0906503i | ||||
\(945\) | 0.0315665 | + | 0.0628337i | 0.00102686 | + | 0.00204398i | ||||
\(946\) | −25.9658 | + | 12.8429i | −0.844219 | + | 0.417560i | ||||
\(947\) | 29.6368 | + | 5.89513i | 0.963068 | + | 0.191566i | 0.651492 | − | 0.758655i | \(-0.274143\pi\) |
0.311575 | + | 0.950221i | \(0.399143\pi\) | |||||||
\(948\) | −0.000303951 | 0.00481104i | −9.87187e−6 | 0.000156255i | ||||||
\(949\) | 6.92992 | + | 34.8391i | 0.224955 | + | 1.13092i | ||||
\(950\) | 55.4342 | + | 21.9304i | 1.79852 | + | 0.711516i | ||||
\(951\) | 0.00436093 | − | 0.0105282i | 0.000141413 | − | 0.000341401i | ||||
\(952\) | −28.4585 | + | 19.1612i | −0.922345 | + | 0.621017i | ||||
\(953\) | 19.0465 | + | 7.88932i | 0.616977 | + | 0.255560i | 0.669208 | − | 0.743075i | \(-0.266633\pi\) |
−0.0522314 | + | 0.998635i | \(0.516633\pi\) | |||||||
\(954\) | 48.6513 | + | 6.34677i | 1.57514 | + | 0.205484i | ||||
\(955\) | 21.1391 | − | 16.4707i | 0.684047 | − | 0.532978i | ||||
\(956\) | 1.71751 | − | 2.24926i | 0.0555484 | − | 0.0727463i | ||||
\(957\) | −0.0211743 | − | 0.0316895i | −0.000684467 | − | 0.00102438i | ||||
\(958\) | 23.8673 | − | 27.2802i | 0.771117 | − | 0.881382i | ||||
\(959\) | 34.2432 | 1.10577 | ||||||||
\(960\) | −0.0246858 | + | 0.00197709i | −0.000796732 | + | 6.38102e-5i | ||||
\(961\) | −16.3145 | −0.526273 | ||||||||
\(962\) | 4.80358 | − | 5.49047i | 0.154874 | − | 0.177020i | ||||
\(963\) | 8.96966 | + | 13.4240i | 0.289043 | + | 0.432584i | ||||
\(964\) | 29.9770 | + | 22.8901i | 0.965493 | + | 0.737241i | ||||
\(965\) | −6.23240 | + | 50.2089i | −0.200628 | + | 1.61628i | ||||
\(966\) | 0.00407169 | 0.000531169i | 0.000131004 | 1.70901e-5i | ||||||
\(967\) | −8.87836 | − | 3.67754i | −0.285509 | − | 0.118262i | 0.235333 | − | 0.971915i | \(-0.424382\pi\) |
−0.520842 | + | 0.853653i | \(0.674382\pi\) | |||||||
\(968\) | −4.70577 | + | 24.1023i | −0.151249 | + | 0.774678i | ||||
\(969\) | 0.0143104 | − | 0.0345484i | 0.000459717 | − | 0.00110986i | ||||
\(970\) | −6.89119 | + | 6.14880i | −0.221263 | + | 0.197426i | ||||
\(971\) | 2.46100 | + | 12.3723i | 0.0789774 | + | 0.397046i | 0.999972 | + | 0.00747107i | \(0.00237814\pi\) |
−0.920995 | + | 0.389575i | \(0.872622\pi\) | |||||||
\(972\) | −0.0746087 | − | 0.00471362i | −0.00239308 | − | 0.000151189i | ||||
\(973\) | −35.2728 | − | 7.01619i | −1.13079 | − | 0.224929i | ||||
\(974\) | 10.1952 | − | 5.04263i | 0.326674 | − | 0.161576i | ||||
\(975\) | 0.0293340 | − | 0.00430457i | 0.000939440 | − | 0.000137857i | ||||
\(976\) | −3.24651 | − | 46.1959i | −0.103918 | − | 1.47870i | ||||
\(977\) | 30.3486 | 0.970937 | 0.485468 | − | 0.874254i | \(-0.338649\pi\) | ||||
0.485468 | + | 0.874254i | \(0.338649\pi\) | |||||||
\(978\) | 0.0122074 | + | 0.0246807i | 0.000390348 | + | 0.000789203i | ||||
\(979\) | 7.09860 | + | 10.6238i | 0.226872 | + | 0.339538i | ||||
\(980\) | −32.7915 | + | 0.319981i | −1.04749 | + | 0.0102214i | ||||
\(981\) | 5.58441 | + | 28.0747i | 0.178296 | + | 0.896357i | ||||
\(982\) | 39.8641 | + | 22.9530i | 1.27211 | + | 0.732458i | ||||
\(983\) | 10.9589 | + | 26.4572i | 0.349536 | + | 0.843854i | 0.996675 | + | 0.0814819i | \(0.0259653\pi\) |
−0.647139 | + | 0.762372i | \(0.724035\pi\) | |||||||
\(984\) | 0.00304018 | − | 0.00741363i | 9.69173e−5 | − | 0.000236338i | ||||
\(985\) | −29.5033 | − | 25.4898i | −0.940052 | − | 0.812173i | ||||
\(986\) | −22.2866 | + | 17.1428i | −0.709749 | + | 0.545939i | ||||
\(987\) | 0.0119616 | − | 0.00237931i | 0.000380742 | − | 7.57342e-5i | ||||
\(988\) | −62.4600 | + | 36.2578i | −1.98712 | + | 1.15351i | ||||
\(989\) | 0.499003 | − | 2.50866i | 0.0158674 | − | 0.0797706i | ||||
\(990\) | 10.5440 | − | 40.7460i | 0.335111 | − | 1.29499i | ||||
\(991\) | −9.37405 | −0.297776 | −0.148888 | − | 0.988854i | \(-0.547569\pi\) | ||||
−0.148888 | + | 0.988854i | \(0.547569\pi\) | |||||||
\(992\) | 19.4986 | + | 9.47328i | 0.619080 | + | 0.300777i | ||||
\(993\) | −0.0115622 | + | 0.0115622i | −0.000366917 | + | 0.000366917i | ||||
\(994\) | 47.6658 | − | 54.4817i | 1.51187 | − | 1.72805i | ||||
\(995\) | 19.9020 | + | 11.2948i | 0.630936 | + | 0.358070i | ||||
\(996\) | 0.00269075 | − | 0.00156197i | 8.52597e−5 | − | 4.94929e-5i | ||||
\(997\) | −10.4356 | − | 52.4635i | −0.330500 | − | 1.66154i | −0.686559 | − | 0.727074i | \(-0.740880\pi\) |
0.356059 | − | 0.934463i | \(-0.384120\pi\) | |||||||
\(998\) | −3.95149 | − | 0.515489i | −0.125082 | − | 0.0163175i | ||||
\(999\) | −0.00382830 | − | 0.00924234i | −0.000121122 | − | 0.000292415i |
(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 | 320.2.bj.a.3.13 | yes | 368 | |
5.2 | odd | 4 | 320.2.bd.a.67.36 | yes | 368 | ||
64.43 | odd | 16 | 320.2.bd.a.43.36 | ✓ | 368 | ||
320.107 | even | 16 | inner | 320.2.bj.a.107.13 | yes | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
320.2.bd.a.43.36 | ✓ | 368 | 64.43 | odd | 16 | ||
320.2.bd.a.67.36 | yes | 368 | 5.2 | odd | 4 | ||
320.2.bj.a.3.13 | yes | 368 | 1.1 | even | 1 | trivial | |
320.2.bj.a.107.13 | yes | 368 | 320.107 | even | 16 | inner |