Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(64,845)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(845, base_ring=CyclotomicField(26))
chi = DirichletCharacter(H, H._module([13, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.v (of order \(26\), degree \(12\), 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: | \(6.74735897080\) |
Analytic rank: | \(0\) |
Dimension: | \(1056\) |
Relative dimension: | \(88\) over \(\Q(\zeta_{26})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{26}]$ |
Embedding invariants
Embedding label | 389.48 | ||
Character | \(\chi\) | \(=\) | 845.389 |
Dual form | 845.2.v.a.454.48 |
$q$-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 \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{19}{26}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.169128 | + | 0.149834i | 0.119592 | + | 0.105949i | 0.720799 | − | 0.693144i | \(-0.243775\pi\) |
−0.601208 | + | 0.799093i | \(0.705314\pi\) | |||||||
\(3\) | 2.09149 | + | 0.793199i | 1.20752 | + | 0.457953i | 0.874528 | − | 0.484975i | \(-0.161171\pi\) |
0.332996 | + | 0.942928i | \(0.391940\pi\) | |||||||
\(4\) | −0.234919 | − | 1.93474i | −0.117460 | − | 0.967368i | ||||
\(5\) | 2.08443 | − | 0.809418i | 0.932185 | − | 0.361983i | ||||
\(6\) | 0.234882 | + | 0.447530i | 0.0958900 | + | 0.182703i | ||||
\(7\) | 0.535295 | − | 0.775509i | 0.202323 | − | 0.293115i | −0.708668 | − | 0.705542i | \(-0.750704\pi\) |
0.910991 | + | 0.412427i | \(0.135319\pi\) | |||||||
\(8\) | 0.506870 | − | 0.734328i | 0.179206 | − | 0.259624i | ||||
\(9\) | 1.49965 | + | 1.32857i | 0.499882 | + | 0.442857i | ||||
\(10\) | 0.473814 | + | 0.175424i | 0.149833 | + | 0.0554738i | ||||
\(11\) | −2.23446 | − | 2.52218i | −0.673715 | − | 0.760467i | 0.307884 | − | 0.951424i | \(-0.400379\pi\) |
−0.981598 | + | 0.190957i | \(0.938841\pi\) | |||||||
\(12\) | 1.04330 | − | 4.23282i | 0.301174 | − | 1.22191i | ||||
\(13\) | 2.65937 | + | 2.43469i | 0.737577 | + | 0.675263i | ||||
\(14\) | 0.206731 | − | 0.0509547i | 0.0552513 | − | 0.0136182i | ||||
\(15\) | 5.00160 | − | 0.0395271i | 1.29141 | − | 0.0102059i | ||||
\(16\) | −3.58887 | + | 0.884577i | −0.897218 | + | 0.221144i | ||||
\(17\) | −0.0926202 | − | 0.0639311i | −0.0224637 | − | 0.0155056i | 0.556780 | − | 0.830660i | \(-0.312037\pi\) |
−0.579244 | + | 0.815154i | \(0.696652\pi\) | |||||||
\(18\) | 0.0545667 | + | 0.449397i | 0.0128615 | + | 0.105924i | ||||
\(19\) | − | 1.61194i | − | 0.369805i | −0.982757 | − | 0.184902i | \(-0.940803\pi\) | ||
0.982757 | − | 0.184902i | \(-0.0591969\pi\) | |||||||
\(20\) | −2.05568 | − | 3.84267i | −0.459665 | − | 0.859247i | ||||
\(21\) | 1.73470 | − | 1.19738i | 0.378543 | − | 0.261289i | ||||
\(22\) | − | 0.761370i | − | 0.162325i | ||||||
\(23\) | 6.69963i | 1.39697i | 0.715625 | + | 0.698485i | \(0.246142\pi\) | ||||
−0.715625 | + | 0.698485i | \(0.753858\pi\) | |||||||
\(24\) | 1.64258 | − | 1.13379i | 0.335291 | − | 0.231434i | ||||
\(25\) | 3.68968 | − | 3.37435i | 0.737937 | − | 0.674870i | ||||
\(26\) | 0.0849736 | + | 0.810240i | 0.0166647 | + | 0.158901i | ||||
\(27\) | −1.03587 | − | 1.97369i | −0.199353 | − | 0.379836i | ||||
\(28\) | −1.62616 | − | 0.853473i | −0.307315 | − | 0.161291i | ||||
\(29\) | −1.38670 | − | 1.22851i | −0.257504 | − | 0.228129i | 0.524487 | − | 0.851419i | \(-0.324257\pi\) |
−0.781991 | + | 0.623290i | \(0.785796\pi\) | |||||||
\(30\) | 0.851833 | + | 0.742726i | 0.155523 | + | 0.135603i | ||||
\(31\) | 0.494383 | + | 0.941969i | 0.0887939 | + | 0.169183i | 0.925803 | − | 0.378006i | \(-0.123390\pi\) |
−0.837009 | + | 0.547189i | \(0.815698\pi\) | |||||||
\(32\) | −2.31966 | − | 1.21745i | −0.410062 | − | 0.215217i | ||||
\(33\) | −2.67276 | − | 7.04750i | −0.465268 | − | 1.22681i | ||||
\(34\) | −0.00608559 | − | 0.0246902i | −0.00104367 | − | 0.00423434i | ||||
\(35\) | 0.488073 | − | 2.04977i | 0.0824995 | − | 0.346475i | ||||
\(36\) | 2.21814 | − | 3.21353i | 0.369690 | − | 0.535588i | ||||
\(37\) | −2.21554 | + | 1.16280i | −0.364232 | + | 0.191164i | −0.636904 | − | 0.770943i | \(-0.719785\pi\) |
0.272671 | + | 0.962107i | \(0.412093\pi\) | |||||||
\(38\) | 0.241524 | − | 0.272625i | 0.0391804 | − | 0.0442255i | ||||
\(39\) | 3.63086 | + | 7.20156i | 0.581403 | + | 1.15317i | ||||
\(40\) | 0.462155 | − | 1.94092i | 0.0730732 | − | 0.306887i | ||||
\(41\) | 6.62428 | + | 2.51226i | 1.03454 | + | 0.392349i | 0.812668 | − | 0.582727i | \(-0.198014\pi\) |
0.221871 | + | 0.975076i | \(0.428784\pi\) | |||||||
\(42\) | 0.472794 | + | 0.0574076i | 0.0729538 | + | 0.00885819i | ||||
\(43\) | −0.738041 | + | 1.40622i | −0.112550 | + | 0.214446i | −0.935215 | − | 0.354080i | \(-0.884794\pi\) |
0.822665 | + | 0.568526i | \(0.192486\pi\) | |||||||
\(44\) | −4.35484 | + | 4.91560i | −0.656517 | + | 0.741054i | ||||
\(45\) | 4.20128 | + | 1.55547i | 0.626289 | + | 0.231876i | ||||
\(46\) | −1.00383 | + | 1.13309i | −0.148007 | + | 0.167066i | ||||
\(47\) | −0.129838 | + | 1.06931i | −0.0189388 | + | 0.155975i | −0.999110 | − | 0.0421767i | \(-0.986571\pi\) |
0.980171 | + | 0.198152i | \(0.0634938\pi\) | |||||||
\(48\) | −8.20775 | − | 0.996601i | −1.18469 | − | 0.143847i | ||||
\(49\) | 2.16736 | + | 5.71486i | 0.309623 | + | 0.816409i | ||||
\(50\) | 1.12962 | − | 0.0178557i | 0.159753 | − | 0.00252518i | ||||
\(51\) | −0.143004 | − | 0.207178i | −0.0200246 | − | 0.0290107i | ||||
\(52\) | 4.08575 | − | 5.71714i | 0.566592 | − | 0.792825i | ||||
\(53\) | −5.34383 | − | 3.68858i | −0.734031 | − | 0.506665i | 0.141433 | − | 0.989948i | \(-0.454829\pi\) |
−0.875464 | + | 0.483283i | \(0.839444\pi\) | |||||||
\(54\) | 0.120531 | − | 0.489015i | 0.0164022 | − | 0.0665465i | ||||
\(55\) | −6.69907 | − | 3.44870i | −0.903302 | − | 0.465022i | ||||
\(56\) | −0.298153 | − | 0.786164i | −0.0398423 | − | 0.105056i | ||||
\(57\) | 1.27859 | − | 3.37137i | 0.169353 | − | 0.446548i | ||||
\(58\) | −0.0504570 | − | 0.415551i | −0.00662533 | − | 0.0545645i | ||||
\(59\) | 0.474044 | − | 1.92327i | 0.0617153 | − | 0.250389i | −0.931979 | − | 0.362512i | \(-0.881919\pi\) |
0.993694 | + | 0.112123i | \(0.0357652\pi\) | |||||||
\(60\) | −1.25145 | − | 9.66748i | −0.161561 | − | 1.24807i | ||||
\(61\) | −2.74463 | − | 3.97628i | −0.351414 | − | 0.509111i | 0.606920 | − | 0.794763i | \(-0.292405\pi\) |
−0.958333 | + | 0.285653i | \(0.907790\pi\) | |||||||
\(62\) | −0.0575252 | + | 0.233389i | −0.00730571 | + | 0.0296404i | ||||
\(63\) | 1.83307 | − | 0.451812i | 0.230946 | − | 0.0569230i | ||||
\(64\) | 2.41153 | + | 6.35869i | 0.301442 | + | 0.794837i | ||||
\(65\) | 7.51396 | + | 2.92240i | 0.931992 | + | 0.362479i | ||||
\(66\) | 0.603918 | − | 1.59240i | 0.0743371 | − | 0.196011i | ||||
\(67\) | −0.611288 | + | 5.03441i | −0.0746807 | + | 0.615051i | 0.906534 | + | 0.422133i | \(0.138718\pi\) |
−0.981215 | + | 0.192919i | \(0.938205\pi\) | |||||||
\(68\) | −0.101932 | + | 0.194214i | −0.0123610 | + | 0.0235519i | ||||
\(69\) | −5.31414 | + | 14.0122i | −0.639747 | + | 1.68687i | ||||
\(70\) | 0.389673 | − | 0.273544i | 0.0465748 | − | 0.0326947i | ||||
\(71\) | 3.81722 | + | 1.44768i | 0.453021 | + | 0.171808i | 0.570553 | − | 0.821261i | \(-0.306729\pi\) |
−0.117532 | + | 0.993069i | \(0.537498\pi\) | |||||||
\(72\) | 1.73573 | − | 0.427820i | 0.204558 | − | 0.0504190i | ||||
\(73\) | −0.354421 | + | 0.313990i | −0.0414819 | + | 0.0367497i | −0.683609 | − | 0.729848i | \(-0.739591\pi\) |
0.642127 | + | 0.766598i | \(0.278052\pi\) | |||||||
\(74\) | −0.548937 | − | 0.135301i | −0.0638127 | − | 0.0157284i | ||||
\(75\) | 10.3935 | − | 4.13078i | 1.20014 | − | 0.476981i | ||||
\(76\) | −3.11868 | + | 0.378677i | −0.357737 | + | 0.0434372i | ||||
\(77\) | −3.15207 | + | 0.382731i | −0.359212 | + | 0.0436162i | ||||
\(78\) | −0.464960 | + | 1.76201i | −0.0526463 | + | 0.199509i | ||||
\(79\) | −1.58603 | + | 13.0622i | −0.178443 | + | 1.46961i | 0.578261 | + | 0.815851i | \(0.303731\pi\) |
−0.756704 | + | 0.653757i | \(0.773192\pi\) | |||||||
\(80\) | −6.76475 | + | 4.74874i | −0.756322 | + | 0.530925i | ||||
\(81\) | −1.32548 | − | 10.9163i | −0.147275 | − | 1.21292i | ||||
\(82\) | 0.743928 | + | 1.41744i | 0.0821531 | + | 0.156530i | ||||
\(83\) | 2.87915 | + | 7.59170i | 0.316028 | + | 0.833297i | 0.995068 | + | 0.0991959i | \(0.0316271\pi\) |
−0.679040 | + | 0.734101i | \(0.737604\pi\) | |||||||
\(84\) | −2.72412 | − | 3.07490i | −0.297226 | − | 0.335499i | ||||
\(85\) | −0.244807 | − | 0.0582913i | −0.0265531 | − | 0.00632258i | ||||
\(86\) | −0.335523 | + | 0.127247i | −0.0361804 | + | 0.0137214i | ||||
\(87\) | −1.92582 | − | 3.66935i | −0.206470 | − | 0.393396i | ||||
\(88\) | −2.98469 | + | 0.362407i | −0.318169 | + | 0.0386327i | ||||
\(89\) | − | 2.65378i | − | 0.281300i | −0.990059 | − | 0.140650i | \(-0.955081\pi\) | ||
0.990059 | − | 0.140650i | \(-0.0449193\pi\) | |||||||
\(90\) | 0.477491 | + | 0.892569i | 0.0503319 | + | 0.0940850i | ||||
\(91\) | 3.31168 | − | 0.759088i | 0.347158 | − | 0.0795740i | ||||
\(92\) | 12.9620 | − | 1.57387i | 1.35138 | − | 0.164088i | ||||
\(93\) | 0.286831 | + | 2.36227i | 0.0297430 | + | 0.244956i | ||||
\(94\) | −0.182179 | + | 0.161396i | −0.0187903 | + | 0.0166467i | ||||
\(95\) | −1.30474 | − | 3.35998i | −0.133863 | − | 0.344726i | ||||
\(96\) | −3.88587 | − | 4.38624i | −0.396600 | − | 0.447669i | ||||
\(97\) | 12.0476 | − | 2.96948i | 1.22325 | − | 0.301505i | 0.425761 | − | 0.904836i | \(-0.360006\pi\) |
0.797491 | + | 0.603331i | \(0.206160\pi\) | |||||||
\(98\) | −0.489721 | + | 1.29129i | −0.0494693 | + | 0.130440i | ||||
\(99\) | − | 6.75102i | − | 0.678503i | ||||||
\(100\) | −7.39525 | − | 6.34586i | −0.739525 | − | 0.634586i | ||||
\(101\) | −0.637510 | − | 0.334591i | −0.0634346 | − | 0.0332931i | 0.432708 | − | 0.901534i | \(-0.357558\pi\) |
−0.496142 | + | 0.868241i | \(0.665251\pi\) | |||||||
\(102\) | 0.00685628 | − | 0.0564665i | 0.000678873 | − | 0.00559102i | ||||
\(103\) | 15.3905 | + | 5.83686i | 1.51648 | + | 0.575123i | 0.965730 | − | 0.259550i | \(-0.0835741\pi\) |
0.550746 | + | 0.834673i | \(0.314343\pi\) | |||||||
\(104\) | 3.13582 | − | 0.718778i | 0.307492 | − | 0.0704820i | ||||
\(105\) | 2.64668 | − | 3.89994i | 0.258289 | − | 0.380596i | ||||
\(106\) | −0.351115 | − | 1.42453i | −0.0341033 | − | 0.138363i | ||||
\(107\) | −1.63472 | + | 6.63233i | −0.158035 | + | 0.641172i | 0.837472 | + | 0.546480i | \(0.184033\pi\) |
−0.995507 | + | 0.0946915i | \(0.969814\pi\) | |||||||
\(108\) | −3.57522 | + | 2.46779i | −0.344025 | + | 0.237463i | ||||
\(109\) | −7.78880 | + | 14.8403i | −0.746032 | + | 1.42145i | 0.155099 | + | 0.987899i | \(0.450430\pi\) |
−0.901131 | + | 0.433547i | \(0.857262\pi\) | |||||||
\(110\) | −0.616267 | − | 1.58702i | −0.0587588 | − | 0.151317i | ||||
\(111\) | −5.55612 | + | 0.674635i | −0.527363 | + | 0.0640335i | ||||
\(112\) | −1.23511 | + | 3.25671i | −0.116707 | + | 0.307731i | ||||
\(113\) | 4.52853 | − | 1.71744i | 0.426008 | − | 0.161564i | −0.132277 | − | 0.991213i | \(-0.542229\pi\) |
0.558285 | + | 0.829649i | \(0.311460\pi\) | |||||||
\(114\) | 0.721392 | − | 0.378616i | 0.0675645 | − | 0.0354606i | ||||
\(115\) | 5.42280 | + | 13.9649i | 0.505679 | + | 1.30223i | ||||
\(116\) | −2.05108 | + | 2.97150i | −0.190438 | + | 0.275897i | ||||
\(117\) | 0.753455 | + | 7.18435i | 0.0696570 | + | 0.664193i | ||||
\(118\) | 0.368346 | − | 0.254251i | 0.0339090 | − | 0.0234057i | ||||
\(119\) | −0.0991584 | + | 0.0376058i | −0.00908983 | + | 0.00344732i | ||||
\(120\) | 2.50613 | − | 3.69285i | 0.228778 | − | 0.337109i | ||||
\(121\) | −0.0426952 | + | 0.351627i | −0.00388138 | + | 0.0319661i | ||||
\(122\) | 0.131590 | − | 1.08374i | 0.0119136 | − | 0.0981172i | ||||
\(123\) | 11.8619 | + | 10.5087i | 1.06955 | + | 0.947541i | ||||
\(124\) | 1.70632 | − | 1.17779i | 0.153232 | − | 0.105768i | ||||
\(125\) | 4.95962 | − | 10.0201i | 0.443602 | − | 0.896224i | ||||
\(126\) | 0.377721 | + | 0.198243i | 0.0336501 | + | 0.0176609i | ||||
\(127\) | −5.66134 | − | 0.687411i | −0.502362 | − | 0.0609978i | −0.134567 | − | 0.990905i | \(-0.542964\pi\) |
−0.367796 | + | 0.929907i | \(0.619887\pi\) | |||||||
\(128\) | −2.40283 | + | 6.33575i | −0.212382 | + | 0.560006i | ||||
\(129\) | −2.65902 | + | 2.35568i | −0.234113 | + | 0.207406i | ||||
\(130\) | 0.832945 | + | 1.62011i | 0.0730541 | + | 0.142093i | ||||
\(131\) | −10.3931 | − | 9.20750i | −0.908051 | − | 0.804463i | 0.0731758 | − | 0.997319i | \(-0.476687\pi\) |
−0.981227 | + | 0.192856i | \(0.938225\pi\) | |||||||
\(132\) | −13.0072 | + | 6.82668i | −1.13213 | + | 0.594186i | ||||
\(133\) | −1.25008 | − | 0.862865i | −0.108395 | − | 0.0748199i | ||||
\(134\) | −0.857713 | + | 0.759868i | −0.0740952 | + | 0.0656426i | ||||
\(135\) | −3.75674 | − | 3.27556i | −0.323328 | − | 0.281915i | ||||
\(136\) | −0.0938928 | + | 0.0356088i | −0.00805124 | + | 0.00305343i | ||||
\(137\) | −2.06286 | − | 1.08267i | −0.176242 | − | 0.0924987i | 0.374295 | − | 0.927310i | \(-0.377885\pi\) |
−0.550537 | + | 0.834811i | \(0.685577\pi\) | |||||||
\(138\) | −2.99828 | + | 1.57362i | −0.255231 | + | 0.133955i | ||||
\(139\) | −13.4934 | + | 3.32583i | −1.14450 | + | 0.282093i | −0.765582 | − | 0.643338i | \(-0.777549\pi\) |
−0.378915 | + | 0.925432i | \(0.623703\pi\) | |||||||
\(140\) | −4.08042 | − | 0.462762i | −0.344859 | − | 0.0391105i | ||||
\(141\) | −1.11973 | + | 2.13347i | −0.0942983 | + | 0.179670i | ||||
\(142\) | 0.428687 | + | 0.816794i | 0.0359746 | + | 0.0685439i | ||||
\(143\) | 0.198485 | − | 12.1476i | 0.0165981 | − | 1.01584i | ||||
\(144\) | −6.55727 | − | 3.44152i | −0.546439 | − | 0.286793i | ||||
\(145\) | −3.88486 | − | 1.43832i | −0.322620 | − | 0.119446i | ||||
\(146\) | −0.106989 | −0.00885447 | ||||||||
\(147\) | 13.6717i | 1.12763i | ||||||||
\(148\) | 2.77019 | + | 4.01332i | 0.227708 | + | 0.329892i | ||||
\(149\) | 1.21289 | + | 0.147271i | 0.0993635 | + | 0.0120649i | 0.170067 | − | 0.985432i | \(-0.445601\pi\) |
−0.0707039 | + | 0.997497i | \(0.522525\pi\) | |||||||
\(150\) | 2.37676 | + | 0.858670i | 0.194062 | + | 0.0701101i | ||||
\(151\) | 14.4208 | − | 1.75100i | 1.17355 | − | 0.142495i | 0.489548 | − | 0.871976i | \(-0.337162\pi\) |
0.684000 | + | 0.729482i | \(0.260239\pi\) | |||||||
\(152\) | −1.18369 | − | 0.817045i | −0.0960102 | − | 0.0662711i | ||||
\(153\) | −0.0539606 | − | 0.218927i | −0.00436245 | − | 0.0176992i | ||||
\(154\) | −0.590450 | − | 0.407558i | −0.0475798 | − | 0.0328420i | ||||
\(155\) | 1.79295 | + | 1.56330i | 0.144014 | + | 0.125568i | ||||
\(156\) | 13.0801 | − | 8.71655i | 1.04725 | − | 0.697882i | ||||
\(157\) | 4.43468 | − | 17.9922i | 0.353926 | − | 1.43593i | −0.476682 | − | 0.879076i | \(-0.658161\pi\) |
0.830608 | − | 0.556858i | \(-0.187993\pi\) | |||||||
\(158\) | −2.22540 | + | 1.97154i | −0.177044 | + | 0.156847i | ||||
\(159\) | −8.25080 | − | 11.9534i | −0.654331 | − | 0.947962i | ||||
\(160\) | −5.82059 | − | 0.660114i | −0.460158 | − | 0.0521866i | ||||
\(161\) | 5.19562 | + | 3.58628i | 0.409473 | + | 0.282639i | ||||
\(162\) | 1.41146 | − | 2.04485i | 0.110895 | − | 0.160659i | ||||
\(163\) | −16.6994 | + | 8.76452i | −1.30800 | + | 0.686490i | −0.967289 | − | 0.253679i | \(-0.918359\pi\) |
−0.340709 | + | 0.940169i | \(0.610667\pi\) | |||||||
\(164\) | 3.30438 | − | 13.4064i | 0.258029 | − | 1.04686i | ||||
\(165\) | −11.2756 | − | 12.5266i | −0.877801 | − | 0.975196i | ||||
\(166\) | −0.650552 | + | 1.71536i | −0.0504926 | + | 0.133138i | ||||
\(167\) | −3.51141 | − | 3.11084i | −0.271721 | − | 0.240724i | 0.516247 | − | 0.856439i | \(-0.327328\pi\) |
−0.787968 | + | 0.615716i | \(0.788867\pi\) | |||||||
\(168\) | − | 1.88075i | − | 0.145103i | ||||||
\(169\) | 1.14453 | + | 12.9495i | 0.0880405 | + | 0.996117i | ||||
\(170\) | −0.0326697 | − | 0.0465392i | −0.00250565 | − | 0.00356940i | ||||
\(171\) | 2.14158 | − | 2.41734i | 0.163771 | − | 0.184859i | ||||
\(172\) | 2.89404 | + | 1.09757i | 0.220669 | + | 0.0836886i | ||||
\(173\) | −12.4922 | + | 1.51683i | −0.949764 | + | 0.115322i | −0.580732 | − | 0.814095i | \(-0.697234\pi\) |
−0.369031 | + | 0.929417i | \(0.620311\pi\) | |||||||
\(174\) | 0.224084 | − | 0.909145i | 0.0169878 | − | 0.0689221i | ||||
\(175\) | −0.641769 | − | 4.66766i | −0.0485132 | − | 0.352842i | ||||
\(176\) | 10.2503 | + | 7.07524i | 0.772642 | + | 0.533316i | ||||
\(177\) | 2.51700 | − | 3.64650i | 0.189189 | − | 0.274088i | ||||
\(178\) | 0.397628 | − | 0.448829i | 0.0298035 | − | 0.0336411i | ||||
\(179\) | −11.4250 | − | 16.5519i | −0.853943 | − | 1.23715i | −0.969804 | − | 0.243884i | \(-0.921578\pi\) |
0.115862 | − | 0.993265i | \(-0.463037\pi\) | |||||||
\(180\) | 2.02246 | − | 8.49377i | 0.150745 | − | 0.633088i | ||||
\(181\) | 0.156504 | + | 0.0385749i | 0.0116329 | + | 0.00286725i | 0.245128 | − | 0.969491i | \(-0.421170\pi\) |
−0.233495 | + | 0.972358i | \(0.575016\pi\) | |||||||
\(182\) | 0.673835 | + | 0.367820i | 0.0499480 | + | 0.0272646i | ||||
\(183\) | −2.58639 | − | 10.4934i | −0.191192 | − | 0.775695i | ||||
\(184\) | 4.91972 | + | 3.39584i | 0.362687 | + | 0.250345i | ||||
\(185\) | −3.67694 | + | 4.21708i | −0.270334 | + | 0.310046i | ||||
\(186\) | −0.305437 | + | 0.442502i | −0.0223958 | + | 0.0324458i | ||||
\(187\) | 0.0457101 | + | 0.376457i | 0.00334265 | + | 0.0275292i | ||||
\(188\) | 2.09933 | 0.153110 | ||||||||
\(189\) | −2.08511 | − | 0.253178i | −0.151669 | − | 0.0184160i | ||||
\(190\) | 0.282773 | − | 0.763760i | 0.0205145 | − | 0.0554090i | ||||
\(191\) | −14.5128 | −1.05011 | −0.525053 | − | 0.851070i | \(-0.675955\pi\) | ||||
−0.525053 | + | 0.851070i | \(0.675955\pi\) | |||||||
\(192\) | 15.2120i | 1.09783i | ||||||||
\(193\) | 4.77941 | + | 6.92418i | 0.344030 | + | 0.498413i | 0.956361 | − | 0.292188i | \(-0.0943834\pi\) |
−0.612331 | + | 0.790601i | \(0.709768\pi\) | |||||||
\(194\) | 2.48252 | + | 1.30293i | 0.178235 | + | 0.0935448i | ||||
\(195\) | 13.3973 | + | 12.0722i | 0.959404 | + | 0.864511i | ||||
\(196\) | 10.5476 | − | 5.53580i | 0.753399 | − | 0.395414i | ||||
\(197\) | −5.81120 | − | 3.04995i | −0.414031 | − | 0.217300i | 0.244828 | − | 0.969566i | \(-0.421268\pi\) |
−0.658859 | + | 0.752266i | \(0.728961\pi\) | |||||||
\(198\) | 1.01153 | − | 1.14179i | 0.0718866 | − | 0.0811432i | ||||
\(199\) | −20.7567 | + | 5.11606i | −1.47140 | + | 0.362668i | −0.891874 | − | 0.452285i | \(-0.850609\pi\) |
−0.579528 | + | 0.814952i | \(0.696763\pi\) | |||||||
\(200\) | −0.607689 | − | 4.41979i | −0.0429701 | − | 0.312526i | ||||
\(201\) | −5.27179 | + | 10.0446i | −0.371844 | + | 0.708489i | ||||
\(202\) | −0.0576876 | − | 0.152110i | −0.00405888 | − | 0.0107024i | ||||
\(203\) | −1.69502 | + | 0.417784i | −0.118967 | + | 0.0293227i | ||||
\(204\) | −0.367240 | + | 0.325346i | −0.0257119 | + | 0.0227788i | ||||
\(205\) | 15.8413 | − | 0.125192i | 1.10640 | − | 0.00874380i | ||||
\(206\) | 1.72841 | + | 3.29321i | 0.120424 | + | 0.229449i | ||||
\(207\) | −8.90094 | + | 10.0471i | −0.618658 | + | 0.698320i | ||||
\(208\) | −11.6978 | − | 6.38538i | −0.811098 | − | 0.442747i | ||||
\(209\) | −4.06561 | + | 3.60182i | −0.281224 | + | 0.249143i | ||||
\(210\) | 1.03197 | − | 0.263026i | 0.0712129 | − | 0.0181505i | ||||
\(211\) | 1.06765 | − | 8.79286i | 0.0734998 | − | 0.605325i | −0.908695 | − | 0.417460i | \(-0.862920\pi\) |
0.982195 | − | 0.187865i | \(-0.0601567\pi\) | |||||||
\(212\) | −5.88105 | + | 11.2054i | −0.403912 | + | 0.769591i | ||||
\(213\) | 6.83540 | + | 6.05563i | 0.468354 | + | 0.414925i | ||||
\(214\) | −1.27023 | + | 0.876775i | −0.0868310 | + | 0.0599351i | ||||
\(215\) | −0.400173 | + | 3.52855i | −0.0272916 | + | 0.240645i | ||||
\(216\) | −1.97438 | − | 0.239734i | −0.134340 | − | 0.0163118i | ||||
\(217\) | 0.995147 | + | 0.120833i | 0.0675550 | + | 0.00820266i | ||||
\(218\) | −3.54089 | + | 1.34288i | −0.239820 | + | 0.0909516i | ||||
\(219\) | −0.990326 | + | 0.375581i | −0.0669200 | + | 0.0253794i | ||||
\(220\) | −5.09857 | + | 13.7711i | −0.343746 | + | 0.928447i | ||||
\(221\) | −0.0906590 | − | 0.395519i | −0.00609838 | − | 0.0266055i | ||||
\(222\) | −1.04078 | − | 0.718397i | −0.0698525 | − | 0.0482157i | ||||
\(223\) | 7.28032 | + | 1.79444i | 0.487526 | + | 0.120164i | 0.475414 | − | 0.879762i | \(-0.342298\pi\) |
0.0121124 | + | 0.999927i | \(0.496144\pi\) | |||||||
\(224\) | −2.18585 | + | 1.14722i | −0.146048 | + | 0.0766519i | ||||
\(225\) | 10.0163 | − | 0.158325i | 0.667753 | − | 0.0105550i | ||||
\(226\) | 1.02323 | + | 0.388061i | 0.0680644 | + | 0.0258134i | ||||
\(227\) | −1.73967 | − | 14.3275i | −0.115466 | − | 0.950950i | −0.929165 | − | 0.369664i | \(-0.879473\pi\) |
0.813699 | − | 0.581286i | \(-0.197450\pi\) | |||||||
\(228\) | −6.82307 | − | 1.68173i | −0.451869 | − | 0.111376i | ||||
\(229\) | 3.95549 | − | 7.53655i | 0.261386 | − | 0.498029i | −0.719027 | − | 0.694982i | \(-0.755412\pi\) |
0.980413 | + | 0.196953i | \(0.0631046\pi\) | |||||||
\(230\) | −1.17527 | + | 3.17438i | −0.0774952 | + | 0.209312i | ||||
\(231\) | −6.89612 | − | 1.69974i | −0.453731 | − | 0.111835i | ||||
\(232\) | −1.60501 | + | 0.395599i | −0.105374 | + | 0.0259723i | ||||
\(233\) | 2.52212 | − | 0.956513i | 0.165229 | − | 0.0626633i | −0.270603 | − | 0.962691i | \(-0.587223\pi\) |
0.435833 | + | 0.900028i | \(0.356454\pi\) | |||||||
\(234\) | −0.949032 | + | 1.32797i | −0.0620401 | + | 0.0868120i | ||||
\(235\) | 0.594882 | + | 2.33399i | 0.0388058 | + | 0.152253i | ||||
\(236\) | −3.83239 | − | 0.465336i | −0.249467 | − | 0.0302908i | ||||
\(237\) | −13.6781 | + | 26.0614i | −0.888486 | + | 1.69287i | ||||
\(238\) | −0.0224051 | − | 0.00849713i | −0.00145231 | − | 0.000550787i | ||||
\(239\) | − | 8.08742i | − | 0.523132i | −0.965186 | − | 0.261566i | \(-0.915761\pi\) | ||
0.965186 | − | 0.261566i | \(-0.0842389\pi\) | |||||||
\(240\) | −17.9151 | + | 4.56616i | −1.15642 | + | 0.294744i | ||||
\(241\) | 5.43222 | + | 22.0394i | 0.349920 | + | 1.41968i | 0.837421 | + | 0.546559i | \(0.184062\pi\) |
−0.487501 | + | 0.873122i | \(0.662091\pi\) | |||||||
\(242\) | −0.0599067 | + | 0.0530727i | −0.00385095 | + | 0.00341164i | ||||
\(243\) | 4.28626 | − | 17.3900i | 0.274964 | − | 1.11557i | ||||
\(244\) | −7.04829 | + | 6.24424i | −0.451220 | + | 0.399746i | ||||
\(245\) | 9.14342 | + | 10.1579i | 0.584152 | + | 0.648965i | ||||
\(246\) | 0.431612 | + | 3.55464i | 0.0275186 | + | 0.226636i | ||||
\(247\) | 3.92459 | − | 4.28676i | 0.249715 | − | 0.272760i | ||||
\(248\) | 0.942302 | + | 0.114416i | 0.0598362 | + | 0.00726543i | ||||
\(249\) | 18.1617i | 1.15095i | ||||||||
\(250\) | 2.34016 | − | 0.951556i | 0.148005 | − | 0.0601817i | ||||
\(251\) | −11.6929 | + | 6.13693i | −0.738052 | + | 0.387360i | −0.791466 | − | 0.611213i | \(-0.790682\pi\) |
0.0534143 | + | 0.998572i | \(0.482990\pi\) | |||||||
\(252\) | −1.30476 | − | 3.44037i | −0.0821922 | − | 0.216723i | ||||
\(253\) | 16.8977 | − | 14.9700i | 1.06235 | − | 0.941159i | ||||
\(254\) | −0.854493 | − | 0.964523i | −0.0536156 | − | 0.0605196i | ||||
\(255\) | −0.465776 | − | 0.316097i | −0.0291680 | − | 0.0197947i | ||||
\(256\) | 10.6876 | − | 5.60929i | 0.667975 | − | 0.350581i | ||||
\(257\) | −13.4310 | + | 1.63082i | −0.837805 | + | 0.101728i | −0.528182 | − | 0.849131i | \(-0.677126\pi\) |
−0.309623 | + | 0.950859i | \(0.600203\pi\) | |||||||
\(258\) | −0.802677 | −0.0499725 | ||||||||
\(259\) | −0.284202 | + | 2.34061i | −0.0176595 | + | 0.145439i | ||||
\(260\) | 3.88890 | − | 15.2241i | 0.241179 | − | 0.944156i | ||||
\(261\) | −0.447399 | − | 3.68467i | −0.0276933 | − | 0.228075i | ||||
\(262\) | −0.378168 | − | 3.11449i | −0.0233633 | − | 0.192414i | ||||
\(263\) | 3.16538 | + | 3.57297i | 0.195185 | + | 0.220319i | 0.837953 | − | 0.545743i | \(-0.183752\pi\) |
−0.642767 | + | 0.766061i | \(0.722214\pi\) | |||||||
\(264\) | −6.52991 | − | 1.60948i | −0.401888 | − | 0.0990566i | ||||
\(265\) | −14.1244 | − | 3.36318i | −0.867657 | − | 0.206599i | ||||
\(266\) | −0.0821360 | − | 0.333239i | −0.00503608 | − | 0.0204322i | ||||
\(267\) | 2.10498 | − | 5.55037i | 0.128823 | − | 0.339677i | ||||
\(268\) | 9.88386 | 0.603753 | ||||||||
\(269\) | −10.6398 | + | 28.0547i | −0.648718 | + | 1.71053i | 0.0535019 | + | 0.998568i | \(0.482962\pi\) |
−0.702220 | + | 0.711960i | \(0.747808\pi\) | |||||||
\(270\) | −0.144579 | − | 1.11688i | −0.00879877 | − | 0.0679709i | ||||
\(271\) | −20.3550 | − | 2.47155i | −1.23648 | − | 0.150136i | −0.523932 | − | 0.851760i | \(-0.675535\pi\) |
−0.712547 | + | 0.701624i | \(0.752458\pi\) | |||||||
\(272\) | 0.388954 | + | 0.147511i | 0.0235838 | + | 0.00894416i | ||||
\(273\) | 7.52846 | + | 1.03919i | 0.455643 | + | 0.0628948i | ||||
\(274\) | −0.186665 | − | 0.492196i | −0.0112769 | − | 0.0297347i | ||||
\(275\) | −16.7552 | − | 1.76621i | −1.01037 | − | 0.106507i | ||||
\(276\) | 28.3583 | + | 6.98970i | 1.70697 | + | 0.420731i | ||||
\(277\) | 3.16163 | − | 2.18232i | 0.189964 | − | 0.131123i | −0.469287 | − | 0.883046i | \(-0.655489\pi\) |
0.659251 | + | 0.751923i | \(0.270874\pi\) | |||||||
\(278\) | −2.78044 | − | 1.45929i | −0.166760 | − | 0.0875222i | ||||
\(279\) | −0.510072 | + | 2.06944i | −0.0305372 | + | 0.123894i | ||||
\(280\) | −1.25781 | − | 1.39737i | −0.0751688 | − | 0.0835090i | ||||
\(281\) | 9.17171 | + | 3.47837i | 0.547138 | + | 0.207502i | 0.612657 | − | 0.790349i | \(-0.290101\pi\) |
−0.0655184 | + | 0.997851i | \(0.520870\pi\) | |||||||
\(282\) | −0.509044 | + | 0.193055i | −0.0303131 | + | 0.0114963i | ||||
\(283\) | −1.77089 | − | 3.37414i | −0.105268 | − | 0.200572i | 0.827124 | − | 0.562019i | \(-0.189975\pi\) |
−0.932393 | + | 0.361447i | \(0.882283\pi\) | |||||||
\(284\) | 1.90414 | − | 7.72540i | 0.112990 | − | 0.458418i | ||||
\(285\) | −0.0637154 | − | 8.06229i | −0.00377418 | − | 0.477569i | ||||
\(286\) | 1.85370 | − | 2.02477i | 0.109612 | − | 0.119727i | ||||
\(287\) | 5.49422 | − | 3.79239i | 0.324314 | − | 0.223858i | ||||
\(288\) | −1.86120 | − | 4.90758i | −0.109672 | − | 0.289182i | ||||
\(289\) | −6.02379 | − | 15.8834i | −0.354341 | − | 0.934320i | ||||
\(290\) | −0.441529 | − | 0.825346i | −0.0259275 | − | 0.0484660i | ||||
\(291\) | 27.5529 | + | 3.34553i | 1.61518 | + | 0.196119i | ||||
\(292\) | 0.690748 | + | 0.611949i | 0.0404230 | + | 0.0358116i | ||||
\(293\) | −15.6296 | − | 22.6433i | −0.913089 | − | 1.32284i | −0.946267 | − | 0.323388i | \(-0.895178\pi\) |
0.0331779 | − | 0.999449i | \(-0.489437\pi\) | |||||||
\(294\) | −2.04850 | + | 2.31227i | −0.119471 | + | 0.134855i | ||||
\(295\) | −0.568621 | − | 4.39263i | −0.0331064 | − | 0.255749i | ||||
\(296\) | −0.269110 | + | 2.21632i | −0.0156417 | + | 0.128821i | ||||
\(297\) | −2.66339 | + | 7.02278i | −0.154545 | + | 0.407503i | ||||
\(298\) | 0.183067 | + | 0.206640i | 0.0106048 | + | 0.0119703i | ||||
\(299\) | −16.3115 | + | 17.8168i | −0.943321 | + | 1.03037i | ||||
\(300\) | −10.4336 | − | 19.1382i | −0.602384 | − | 1.10495i | ||||
\(301\) | 0.695466 | + | 1.32510i | 0.0400860 | + | 0.0763775i | ||||
\(302\) | 2.70132 | + | 1.86459i | 0.155444 | + | 0.107295i | ||||
\(303\) | −1.06795 | − | 1.20547i | −0.0613522 | − | 0.0692523i | ||||
\(304\) | 1.42589 | + | 5.78505i | 0.0817803 | + | 0.331796i | ||||
\(305\) | −8.93946 | − | 6.06672i | −0.511872 | − | 0.347379i | ||||
\(306\) | 0.0236765 | − | 0.0451118i | 0.00135349 | − | 0.00257887i | ||||
\(307\) | 24.6634 | − | 12.9443i | 1.40761 | − | 0.738772i | 0.421810 | − | 0.906684i | \(-0.361395\pi\) |
0.985802 | + | 0.167912i | \(0.0537026\pi\) | |||||||
\(308\) | 1.48097 | + | 6.00851i | 0.0843858 | + | 0.342367i | ||||
\(309\) | 27.5594 | + | 24.4155i | 1.56780 | + | 1.38895i | ||||
\(310\) | 0.0690021 | + | 0.533044i | 0.00391906 | + | 0.0302749i | ||||
\(311\) | −11.0370 | + | 5.79265i | −0.625850 | + | 0.328471i | −0.747660 | − | 0.664082i | \(-0.768822\pi\) |
0.121810 | + | 0.992553i | \(0.461130\pi\) | |||||||
\(312\) | 7.12868 | + | 0.984008i | 0.403582 | + | 0.0557085i | ||||
\(313\) | 2.83084 | − | 5.39372i | 0.160009 | − | 0.304871i | −0.792232 | − | 0.610220i | \(-0.791081\pi\) |
0.952240 | + | 0.305349i | \(0.0987732\pi\) | |||||||
\(314\) | 3.44588 | − | 2.37852i | 0.194462 | − | 0.134228i | ||||
\(315\) | 3.45521 | − | 2.42549i | 0.194679 | − | 0.136661i | ||||
\(316\) | 25.6444 | 1.44261 | ||||||||
\(317\) | 19.2615 | + | 27.9052i | 1.08184 | + | 1.56731i | 0.792289 | + | 0.610146i | \(0.208889\pi\) |
0.289547 | + | 0.957164i | \(0.406495\pi\) | |||||||
\(318\) | 0.395581 | − | 3.25790i | 0.0221831 | − | 0.182694i | ||||
\(319\) | 6.24257i | 0.349517i | ||||||||
\(320\) | 10.1735 | + | 11.3023i | 0.568717 | + | 0.631818i | ||||
\(321\) | −8.67977 | + | 12.5748i | −0.484457 | + | 0.701858i | ||||
\(322\) | 0.341378 | + | 1.38502i | 0.0190242 | + | 0.0771843i | ||||
\(323\) | −0.103053 | + | 0.149298i | −0.00573404 | + | 0.00830719i | ||||
\(324\) | −20.8088 | + | 5.12890i | −1.15604 | + | 0.284939i | ||||
\(325\) | 18.0278 | + | 0.00959854i | 1.00000 | + | 0.000532431i | ||||
\(326\) | −4.13756 | − | 1.01982i | −0.229158 | − | 0.0564824i | ||||
\(327\) | −28.0616 | + | 24.8604i | −1.55181 | + | 1.37478i | ||||
\(328\) | 5.20247 | − | 3.59100i | 0.287258 | − | 0.198280i | ||||
\(329\) | 0.759758 | + | 0.673087i | 0.0418868 | + | 0.0371085i | ||||
\(330\) | −0.0300948 | − | 3.80807i | −0.00165666 | − | 0.209627i | ||||
\(331\) | −17.0594 | − | 11.7753i | −0.937672 | − | 0.647228i | −0.00196150 | − | 0.999998i | \(-0.500624\pi\) |
−0.935710 | + | 0.352770i | \(0.885240\pi\) | |||||||
\(332\) | 14.0116 | − | 7.35383i | 0.768984 | − | 0.403594i | ||||
\(333\) | −4.86739 | − | 1.19970i | −0.266732 | − | 0.0657434i | ||||
\(334\) | −0.127767 | − | 1.05226i | −0.00699112 | − | 0.0575770i | ||||
\(335\) | 2.80076 | + | 10.9887i | 0.153022 | + | 0.600375i | ||||
\(336\) | −5.16644 | + | 5.83171i | −0.281853 | + | 0.318146i | ||||
\(337\) | − | 26.6148i | − | 1.44980i | −0.688854 | − | 0.724900i | \(-0.741886\pi\) | ||
0.688854 | − | 0.724900i | \(-0.258114\pi\) | |||||||
\(338\) | −1.74671 | + | 2.36162i | −0.0950085 | + | 0.128455i | ||||
\(339\) | 10.8337 | 0.588404 | ||||||||
\(340\) | −0.0552683 | + | 0.487331i | −0.00299735 | + | 0.0264292i | ||||
\(341\) | 1.27114 | − | 3.35172i | 0.0688360 | − | 0.181506i | ||||
\(342\) | 0.724402 | − | 0.0879584i | 0.0391712 | − | 0.00475624i | ||||
\(343\) | 11.9966 | + | 2.95690i | 0.647757 | + | 0.159658i | ||||
\(344\) | 0.658535 | + | 1.25473i | 0.0355058 | + | 0.0676507i | ||||
\(345\) | 0.264817 | + | 33.5088i | 0.0142573 | + | 1.80406i | ||||
\(346\) | −2.34005 | − | 1.61522i | −0.125802 | − | 0.0868348i | ||||
\(347\) | −15.5973 | + | 17.6057i | −0.837307 | + | 0.945124i | −0.999130 | − | 0.0416958i | \(-0.986724\pi\) |
0.161824 | + | 0.986820i | \(0.448262\pi\) | |||||||
\(348\) | −6.64681 | + | 4.58796i | −0.356307 | + | 0.245941i | ||||
\(349\) | 0.804343 | + | 0.907915i | 0.0430555 | + | 0.0485996i | 0.769644 | − | 0.638473i | \(-0.220434\pi\) |
−0.726588 | + | 0.687073i | \(0.758895\pi\) | |||||||
\(350\) | 0.590834 | − | 0.885590i | 0.0315814 | − | 0.0473368i | ||||
\(351\) | 2.05056 | − | 7.77080i | 0.109451 | − | 0.414774i | ||||
\(352\) | 2.11255 | + | 8.57094i | 0.112599 | + | 0.456833i | ||||
\(353\) | 2.04686 | − | 2.96539i | 0.108943 | − | 0.157832i | −0.764720 | − | 0.644363i | \(-0.777123\pi\) |
0.873663 | + | 0.486531i | \(0.161738\pi\) | |||||||
\(354\) | 0.972066 | − | 0.239593i | 0.0516647 | − | 0.0127342i | ||||
\(355\) | 9.12851 | − | 0.0721417i | 0.484491 | − | 0.00382888i | ||||
\(356\) | −5.13437 | + | 0.623425i | −0.272121 | + | 0.0330415i | ||||
\(357\) | −0.237218 | −0.0125549 | ||||||||
\(358\) | 0.547765 | − | 4.51125i | 0.0289503 | − | 0.238427i | ||||
\(359\) | 7.73264 | − | 5.33746i | 0.408113 | − | 0.281700i | −0.346269 | − | 0.938135i | \(-0.612552\pi\) |
0.754383 | + | 0.656435i | \(0.227936\pi\) | |||||||
\(360\) | 3.27172 | − | 2.29669i | 0.172435 | − | 0.121046i | ||||
\(361\) | 16.4016 | 0.863244 | ||||||||
\(362\) | 0.0206894 | + | 0.0299738i | 0.00108741 | + | 0.00157539i | ||||
\(363\) | −0.368206 | + | 0.701559i | −0.0193258 | + | 0.0368223i | ||||
\(364\) | −2.24661 | − | 6.22890i | −0.117754 | − | 0.326483i | ||||
\(365\) | −0.484617 | + | 0.941364i | −0.0253660 | + | 0.0492733i | ||||
\(366\) | 1.13484 | − | 2.16226i | 0.0593191 | − | 0.113023i | ||||
\(367\) | 11.5227 | − | 13.0064i | 0.601479 | − | 0.678929i | −0.366368 | − | 0.930470i | \(-0.619399\pi\) |
0.967847 | + | 0.251541i | \(0.0809372\pi\) | |||||||
\(368\) | −5.92634 | − | 24.0441i | −0.308932 | − | 1.25339i | ||||
\(369\) | 6.59637 | + | 12.5683i | 0.343393 | + | 0.654281i | ||||
\(370\) | −1.25374 | + | 0.162295i | −0.0651786 | + | 0.00843731i | ||||
\(371\) | −5.72105 | + | 2.16971i | −0.297022 | + | 0.112646i | ||||
\(372\) | 4.50298 | − | 1.10988i | 0.233468 | − | 0.0575448i | ||||
\(373\) | 9.77960 | + | 11.0389i | 0.506368 | + | 0.571572i | 0.944990 | − | 0.327100i | \(-0.106071\pi\) |
−0.438621 | + | 0.898672i | \(0.644533\pi\) | |||||||
\(374\) | −0.0486752 | + | 0.0705183i | −0.00251694 | + | 0.00364641i | ||||
\(375\) | 18.3209 | − | 17.0230i | 0.946089 | − | 0.879063i | ||||
\(376\) | 0.719413 | + | 0.637344i | 0.0371009 | + | 0.0328685i | ||||
\(377\) | −0.696709 | − | 6.64326i | −0.0358824 | − | 0.342146i | ||||
\(378\) | −0.314716 | − | 0.355240i | −0.0161872 | − | 0.0182716i | ||||
\(379\) | 18.7967 | + | 7.12864i | 0.965521 | + | 0.366174i | 0.786444 | − | 0.617661i | \(-0.211920\pi\) |
0.179077 | + | 0.983835i | \(0.442689\pi\) | |||||||
\(380\) | −6.19416 | + | 3.31364i | −0.317754 | + | 0.169986i | ||||
\(381\) | −11.2954 | − | 5.92828i | −0.578681 | − | 0.303715i | ||||
\(382\) | −2.45451 | − | 2.17451i | −0.125584 | − | 0.111258i | ||||
\(383\) | −2.64860 | − | 3.83716i | −0.135337 | − | 0.196070i | 0.749455 | − | 0.662055i | \(-0.230315\pi\) |
−0.884793 | + | 0.465985i | \(0.845700\pi\) | |||||||
\(384\) | −10.0510 | + | 11.3453i | −0.512914 | + | 0.578960i | ||||
\(385\) | −6.26048 | + | 3.34912i | −0.319063 | + | 0.170687i | ||||
\(386\) | −0.229147 | + | 1.88719i | −0.0116633 | + | 0.0960555i | ||||
\(387\) | −2.97506 | + | 1.12829i | −0.151231 | + | 0.0573543i | ||||
\(388\) | −8.57537 | − | 22.6114i | −0.435349 | − | 1.14792i | ||||
\(389\) | −8.34530 | − | 12.0903i | −0.423124 | − | 0.613000i | 0.552218 | − | 0.833700i | \(-0.313781\pi\) |
−0.975342 | + | 0.220699i | \(0.929166\pi\) | |||||||
\(390\) | 0.457030 | + | 4.04914i | 0.0231426 | + | 0.205036i | ||||
\(391\) | 0.428315 | − | 0.620521i | 0.0216608 | − | 0.0313811i | ||||
\(392\) | 5.29515 | + | 1.30514i | 0.267445 | + | 0.0659194i | ||||
\(393\) | −14.4338 | − | 27.5012i | −0.728087 | − | 1.38725i | ||||
\(394\) | −0.525849 | − | 1.38655i | −0.0264919 | − | 0.0698533i | ||||
\(395\) | 7.26678 | + | 28.5109i | 0.365632 | + | 1.43454i | ||||
\(396\) | −13.0614 | + | 1.58595i | −0.656362 | + | 0.0796968i | ||||
\(397\) | 11.4454 | + | 2.82103i | 0.574426 | + | 0.141583i | 0.515819 | − | 0.856698i | \(-0.327488\pi\) |
0.0586076 | + | 0.998281i | \(0.481334\pi\) | |||||||
\(398\) | −4.27710 | − | 2.24479i | −0.214391 | − | 0.112521i | ||||
\(399\) | −1.93010 | − | 2.79624i | −0.0966260 | − | 0.139987i | ||||
\(400\) | −10.2569 | + | 15.3739i | −0.512846 | + | 0.768696i | ||||
\(401\) | −9.19287 | − | 37.2970i | −0.459070 | − | 1.86252i | −0.504275 | − | 0.863543i | \(-0.668240\pi\) |
0.0452044 | − | 0.998978i | \(-0.485606\pi\) | |||||||
\(402\) | −2.39663 | + | 0.908921i | −0.119533 | + | 0.0453329i | ||||
\(403\) | −0.978657 | + | 3.70872i | −0.0487504 | + | 0.184744i | ||||
\(404\) | −0.497582 | + | 1.31202i | −0.0247556 | + | 0.0652752i | ||||
\(405\) | −11.5987 | − | 21.6814i | −0.576345 | − | 1.07736i | ||||
\(406\) | −0.349273 | − | 0.183313i | −0.0173341 | − | 0.00909766i | ||||
\(407\) | 7.88333 | + | 2.98975i | 0.390762 | + | 0.148197i | ||||
\(408\) | −0.224621 | −0.0111204 | ||||||||
\(409\) | 33.8483 | + | 12.8370i | 1.67369 | + | 0.634748i | 0.995018 | − | 0.0996916i | \(-0.0317856\pi\) |
0.678674 | + | 0.734440i | \(0.262555\pi\) | |||||||
\(410\) | 2.69797 | + | 2.35240i | 0.133243 | + | 0.116177i | ||||
\(411\) | −3.45567 | − | 3.90065i | −0.170456 | − | 0.192405i | ||||
\(412\) | 7.67725 | − | 31.1478i | 0.378231 | − | 1.53454i | ||||
\(413\) | −1.23776 | − | 1.39715i | −0.0609063 | − | 0.0687490i | ||||
\(414\) | −3.01079 | + | 0.365577i | −0.147972 | + | 0.0179671i | ||||
\(415\) | 12.1462 | + | 13.4939i | 0.596236 | + | 0.662390i | ||||
\(416\) | −3.20472 | − | 8.88531i | −0.157124 | − | 0.435638i | ||||
\(417\) | −30.8594 | − | 3.74701i | −1.51119 | − | 0.183492i | ||||
\(418\) | −1.22728 | −0.0600285 | ||||||||
\(419\) | −3.96914 | − | 32.6888i | −0.193905 | − | 1.59695i | −0.686789 | − | 0.726857i | \(-0.740980\pi\) |
0.492884 | − | 0.870095i | \(-0.335943\pi\) | |||||||
\(420\) | −8.16712 | − | 4.20445i | −0.398514 | − | 0.205156i | ||||
\(421\) | 24.5320 | − | 9.30375i | 1.19561 | − | 0.453437i | 0.325148 | − | 0.945663i | \(-0.394586\pi\) |
0.870467 | + | 0.492226i | \(0.163817\pi\) | |||||||
\(422\) | 1.49804 | − | 1.32715i | 0.0729235 | − | 0.0646046i | ||||
\(423\) | −1.61537 | + | 1.43109i | −0.0785418 | + | 0.0695819i | ||||
\(424\) | −5.41725 | + | 2.05449i | −0.263085 | + | 0.0997749i | ||||
\(425\) | −0.557465 | + | 0.0766474i | −0.0270410 | + | 0.00371794i | ||||
\(426\) | 0.248715 | + | 2.04835i | 0.0120503 | + | 0.0992431i | ||||
\(427\) | −4.55283 | −0.220327 | ||||||||
\(428\) | 13.2158 | + | 1.60469i | 0.638811 | + | 0.0775658i | ||||
\(429\) | 10.0506 | − | 25.2493i | 0.485249 | − | 1.21905i | ||||
\(430\) | −0.596378 | + | 0.536816i | −0.0287599 | + | 0.0258876i | ||||
\(431\) | −0.838406 | + | 0.101801i | −0.0403846 | + | 0.00490358i | −0.140704 | − | 0.990052i | \(-0.544937\pi\) |
0.100319 | + | 0.994955i | \(0.468014\pi\) | |||||||
\(432\) | 5.46349 | + | 6.16700i | 0.262862 | + | 0.296710i | ||||
\(433\) | 7.88962 | − | 32.0094i | 0.379151 | − | 1.53827i | −0.403008 | − | 0.915196i | \(-0.632035\pi\) |
0.782159 | − | 0.623079i | \(-0.214118\pi\) | |||||||
\(434\) | 0.150202 | + | 0.169543i | 0.00720994 | + | 0.00813834i | ||||
\(435\) | −6.98429 | − | 6.08970i | −0.334871 | − | 0.291979i | ||||
\(436\) | 30.5418 | + | 11.5830i | 1.46269 | + | 0.554725i | ||||
\(437\) | 10.7994 | 0.516606 | ||||||||
\(438\) | −0.223767 | − | 0.0848635i | −0.0106920 | − | 0.00405494i | ||||
\(439\) | 36.2009 | + | 18.9997i | 1.72777 | + | 0.906805i | 0.965836 | + | 0.259154i | \(0.0834439\pi\) |
0.761937 | + | 0.647651i | \(0.224248\pi\) | |||||||
\(440\) | −5.92803 | + | 3.17127i | −0.282608 | + | 0.151184i | ||||
\(441\) | −4.34232 | + | 11.4498i | −0.206777 | + | 0.545227i | ||||
\(442\) | 0.0439293 | − | 0.0804771i | 0.00208950 | − | 0.00382790i | ||||
\(443\) | −11.2963 | + | 4.28412i | −0.536703 | + | 0.203545i | −0.608038 | − | 0.793908i | \(-0.708043\pi\) |
0.0713352 | + | 0.997452i | \(0.477274\pi\) | |||||||
\(444\) | 2.61048 | + | 10.5911i | 0.123888 | + | 0.502633i | ||||
\(445\) | −2.14802 | − | 5.53162i | −0.101826 | − | 0.262224i | ||||
\(446\) | 0.962438 | + | 1.39433i | 0.0455727 | + | 0.0660235i | ||||
\(447\) | 2.41993 | + | 1.27008i | 0.114459 | + | 0.0600726i | ||||
\(448\) | 6.22211 | + | 1.53361i | 0.293967 | + | 0.0724564i | ||||
\(449\) | 8.45872 | − | 1.02707i | 0.399192 | − | 0.0484707i | 0.0815207 | − | 0.996672i | \(-0.474022\pi\) |
0.317671 | + | 0.948201i | \(0.397099\pi\) | |||||||
\(450\) | 1.71776 | + | 1.47401i | 0.0809758 | + | 0.0694853i | ||||
\(451\) | −8.46530 | − | 22.3212i | −0.398616 | − | 1.05106i | ||||
\(452\) | −4.38664 | − | 8.35804i | −0.206330 | − | 0.393129i | ||||
\(453\) | 31.5499 | + | 7.77636i | 1.48234 | + | 0.365365i | ||||
\(454\) | 1.85252 | − | 2.68385i | 0.0869433 | − | 0.125959i | ||||
\(455\) | 6.28854 | − | 4.26280i | 0.294811 | − | 0.199843i | ||||
\(456\) | −1.82761 | − | 2.64775i | −0.0855856 | − | 0.123992i | ||||
\(457\) | −3.92794 | − | 10.3571i | −0.183741 | − | 0.484486i | 0.811220 | − | 0.584740i | \(-0.198804\pi\) |
−0.994962 | + | 0.100254i | \(0.968034\pi\) | |||||||
\(458\) | 1.79822 | − | 0.681974i | 0.0840252 | − | 0.0318665i | ||||
\(459\) | −0.0302374 | + | 0.249028i | −0.00141136 | + | 0.0116236i | ||||
\(460\) | 25.7445 | − | 13.7723i | 1.20034 | − | 0.642137i | ||||
\(461\) | 0.447065 | − | 0.504632i | 0.0208219 | − | 0.0235030i | −0.738008 | − | 0.674792i | \(-0.764233\pi\) |
0.758829 | + | 0.651289i | \(0.225772\pi\) | |||||||
\(462\) | −0.911647 | − | 1.32075i | −0.0424137 | − | 0.0614468i | ||||
\(463\) | −6.44671 | − | 5.71129i | −0.299604 | − | 0.265426i | 0.499905 | − | 0.866080i | \(-0.333368\pi\) |
−0.799509 | + | 0.600654i | \(0.794907\pi\) | |||||||
\(464\) | 6.06341 | + | 3.18232i | 0.281487 | + | 0.147736i | ||||
\(465\) | 2.50994 | + | 4.69181i | 0.116396 | + | 0.217577i | ||||
\(466\) | 0.569879 | + | 0.216127i | 0.0263991 | + | 0.0100119i | ||||
\(467\) | −22.0897 | − | 24.9342i | −1.02219 | − | 1.15382i | −0.988008 | − | 0.154400i | \(-0.950656\pi\) |
−0.0341825 | − | 0.999416i | \(-0.510883\pi\) | |||||||
\(468\) | 13.7228 | − | 3.14548i | 0.634337 | − | 0.145400i | ||||
\(469\) | 3.57701 | + | 3.16896i | 0.165171 | + | 0.146329i | ||||
\(470\) | −0.249101 | + | 0.483877i | −0.0114902 | + | 0.0223196i | ||||
\(471\) | 23.5465 | − | 34.1130i | 1.08497 | − | 1.57184i | ||||
\(472\) | −1.17203 | − | 1.32295i | −0.0539472 | − | 0.0608938i | ||||
\(473\) | 5.19586 | − | 1.28066i | 0.238906 | − | 0.0588850i | ||||
\(474\) | −6.21824 | + | 2.35827i | −0.285613 | + | 0.108319i | ||||
\(475\) | −5.43926 | − | 5.94756i | −0.249570 | − | 0.272893i | ||||
\(476\) | 0.0960515 | + | 0.183011i | 0.00440251 | + | 0.00838829i | ||||
\(477\) | −3.11332 | − | 12.6312i | −0.142549 | − | 0.578344i | ||||
\(478\) | 1.21177 | − | 1.36781i | 0.0554252 | − | 0.0625621i | ||||
\(479\) | 17.5510 | − | 33.4406i | 0.801925 | − | 1.52794i | −0.0466778 | − | 0.998910i | \(-0.514863\pi\) |
0.848603 | − | 0.529030i | \(-0.177444\pi\) | |||||||
\(480\) | −11.6501 | − | 5.99751i | −0.531753 | − | 0.273748i | ||||
\(481\) | −8.72302 | − | 2.30183i | −0.397735 | − | 0.104954i | ||||
\(482\) | −2.38351 | + | 4.54141i | −0.108566 | + | 0.206855i | ||||
\(483\) | 8.02198 | + | 11.6218i | 0.365013 | + | 0.528812i | ||||
\(484\) | 0.690334 | 0.0313788 | ||||||||
\(485\) | 22.7089 | − | 15.9412i | 1.03116 | − | 0.723854i | ||||
\(486\) | 3.33055 | − | 2.29891i | 0.151077 | − | 0.104281i | ||||
\(487\) | 1.25164 | − | 10.3082i | 0.0567173 | − | 0.467109i | −0.936485 | − | 0.350708i | \(-0.885941\pi\) |
0.993202 | − | 0.116401i | \(-0.0371358\pi\) | |||||||
\(488\) | −4.31106 | −0.195153 | ||||||||
\(489\) | −41.8787 | + | 5.08499i | −1.89382 | + | 0.229951i | ||||
\(490\) | 0.0244040 | + | 3.08799i | 0.00110246 | + | 0.139501i | ||||
\(491\) | −33.5685 | + | 8.27389i | −1.51493 | + | 0.373396i | −0.907182 | − | 0.420738i | \(-0.861771\pi\) |
−0.607743 | + | 0.794134i | \(0.707925\pi\) | |||||||
\(492\) | 17.5450 | − | 25.4184i | 0.790991 | − | 1.14595i | ||||
\(493\) | 0.0498966 | + | 0.202438i | 0.00224723 | + | 0.00911737i | ||||
\(494\) | 1.30606 | − | 0.136973i | 0.0587624 | − | 0.00616268i | ||||
\(495\) | −5.46440 | − | 14.0720i | −0.245607 | − | 0.632490i | ||||
\(496\) | −2.60752 | − | 2.94329i | −0.117081 | − | 0.132157i | ||||
\(497\) | 3.16603 | − | 2.18535i | 0.142016 | − | 0.0980265i | ||||
\(498\) | −2.72125 | + | 3.07166i | −0.121942 | + | 0.137644i | ||||
\(499\) | 24.8500 | + | 17.1527i | 1.11244 | + | 0.767862i | 0.974902 | − | 0.222634i | \(-0.0714655\pi\) |
0.137539 | + | 0.990496i | \(0.456081\pi\) | |||||||
\(500\) | −20.5513 | − | 7.24164i | −0.919083 | − | 0.323856i | ||||
\(501\) | −4.87657 | − | 9.29154i | −0.217869 | − | 0.415115i | ||||
\(502\) | −2.89713 | − | 0.714077i | −0.129305 | − | 0.0318708i | ||||
\(503\) | 12.7291 | − | 1.54559i | 0.567561 | − | 0.0689144i | 0.168274 | − | 0.985740i | \(-0.446181\pi\) |
0.399287 | + | 0.916826i | \(0.369258\pi\) | |||||||
\(504\) | 0.597351 | − | 1.57509i | 0.0266082 | − | 0.0701599i | ||||
\(505\) | −1.59967 | − | 0.181419i | −0.0711843 | − | 0.00807303i | ||||
\(506\) | 5.10090 | 0.226763 | ||||||||
\(507\) | −7.87777 | + | 27.9917i | −0.349864 | + | 1.24315i | ||||
\(508\) | 11.1147i | 0.493134i | ||||||||
\(509\) | 20.9001 | − | 23.5913i | 0.926379 | − | 1.04567i | −0.0724539 | − | 0.997372i | \(-0.523083\pi\) |
0.998833 | − | 0.0482943i | \(-0.0153785\pi\) | |||||||
\(510\) | −0.0314136 | − | 0.123250i | −0.00139102 | − | 0.00545760i | ||||
\(511\) | 0.0537820 | + | 0.442934i | 0.00237917 | + | 0.0195943i | ||||
\(512\) | 15.8064 | + | 3.89593i | 0.698551 | + | 0.172177i | ||||
\(513\) | −3.18147 | + | 1.66976i | −0.140465 | + | 0.0737219i | ||||
\(514\) | −2.51592 | − | 1.73661i | −0.110972 | − | 0.0765987i | ||||
\(515\) | 36.8050 | − | 0.290866i | 1.62182 | − | 0.0128171i | ||||
\(516\) | 5.18228 | + | 4.59110i | 0.228137 | + | 0.202112i | ||||
\(517\) | 2.98711 | − | 2.06185i | 0.131373 | − | 0.0906803i | ||||
\(518\) | −0.398771 | + | 0.353280i | −0.0175210 | + | 0.0155222i | ||||
\(519\) | −27.3305 | − | 6.73636i | −1.19967 | − | 0.295693i | ||||
\(520\) | 5.95460 | − | 4.03643i | 0.261126 | − | 0.177009i | ||||
\(521\) | −21.1379 | + | 5.21001i | −0.926066 | + | 0.228255i | −0.673383 | − | 0.739294i | \(-0.735159\pi\) |
−0.252683 | + | 0.967549i | \(0.581313\pi\) | |||||||
\(522\) | 0.476422 | − | 0.690216i | 0.0208524 | − | 0.0302099i | ||||
\(523\) | 6.35311 | + | 25.7756i | 0.277802 | + | 1.12709i | 0.929563 | + | 0.368663i | \(0.120184\pi\) |
−0.651761 | + | 0.758424i | \(0.725969\pi\) | |||||||
\(524\) | −15.3725 | + | 22.2710i | −0.671552 | + | 0.972912i | ||||
\(525\) | 2.36013 | − | 10.2714i | 0.103004 | − | 0.448282i | ||||
\(526\) | 1.07857i | 0.0470279i | ||||||||
\(527\) | 0.0144312 | − | 0.118852i | 0.000628634 | − | 0.00517727i | ||||
\(528\) | 15.8263 | + | 22.9283i | 0.688750 | + | 0.997826i | ||||
\(529\) | −21.8850 | −0.951523 | ||||||||
\(530\) | −1.88492 | − | 2.68513i | −0.0818755 | − | 0.116635i | ||||
\(531\) | 3.26610 | − | 2.25443i | 0.141737 | − | 0.0978339i | ||||
\(532\) | −1.37575 | + | 2.62127i | −0.0596463 | + | 0.113646i | ||||
\(533\) | 11.4998 | + | 22.8091i | 0.498114 | + | 0.987973i | ||||
\(534\) | 1.18765 | − | 0.623325i | 0.0513945 | − | 0.0269739i | ||||
\(535\) | 1.96087 | + | 15.1478i | 0.0847757 | + | 0.654896i | ||||
\(536\) | 3.38706 | + | 3.00068i | 0.146299 | + | 0.129609i | ||||
\(537\) | −10.7663 | − | 43.6805i | −0.464599 | − | 1.88495i | ||||
\(538\) | −6.00304 | + | 3.15064i | −0.258810 | + | 0.135834i | ||||
\(539\) | 9.57104 | − | 18.2361i | 0.412254 | − | 0.785484i | ||||
\(540\) | −5.45480 | + | 8.03778i | −0.234737 | + | 0.345891i | ||||
\(541\) | 4.17698 | + | 16.9467i | 0.179582 | + | 0.728594i | 0.989800 | + | 0.142465i | \(0.0455027\pi\) |
−0.810218 | + | 0.586129i | \(0.800651\pi\) | |||||||
\(542\) | −3.07228 | − | 3.46789i | −0.131966 | − | 0.148958i | ||||
\(543\) | 0.296730 | + | 0.204818i | 0.0127339 | + | 0.00878959i | ||||
\(544\) | 0.137014 | + | 0.261059i | 0.00587444 | + | 0.0111928i | ||||
\(545\) | −4.22317 | + | 37.2380i | −0.180901 | + | 1.59510i | ||||
\(546\) | 1.11757 | + | 1.30378i | 0.0478274 | + | 0.0557965i | ||||
\(547\) | 18.6963 | + | 21.1038i | 0.799396 | + | 0.902332i | 0.996957 | − | 0.0779589i | \(-0.0248403\pi\) |
−0.197560 | + | 0.980291i | \(0.563302\pi\) | |||||||
\(548\) | −1.61007 | + | 4.24542i | −0.0687790 | + | 0.181355i | ||||
\(549\) | 1.16680 | − | 9.60945i | 0.0497978 | − | 0.410122i | ||||
\(550\) | −2.56913 | − | 2.80921i | −0.109548 | − | 0.119785i | ||||
\(551\) | −1.98029 | + | 2.23528i | −0.0843631 | + | 0.0952263i | ||||
\(552\) | 7.59599 | + | 11.0047i | 0.323307 | + | 0.468391i | ||||
\(553\) | 9.28084 | + | 8.22210i | 0.394661 | + | 0.349639i | ||||
\(554\) | 0.861707 | + | 0.104630i | 0.0366104 | + | 0.00444531i | ||||
\(555\) | −11.0353 | + | 5.90345i | −0.468421 | + | 0.250588i | ||||
\(556\) | 9.60447 | + | 25.3249i | 0.407320 | + | 1.07401i | ||||
\(557\) | 1.03123 | + | 2.71912i | 0.0436945 | + | 0.115213i | 0.955087 | − | 0.296325i | \(-0.0957611\pi\) |
−0.911393 | + | 0.411538i | \(0.864992\pi\) | |||||||
\(558\) | −0.396341 | + | 0.273575i | −0.0167785 | + | 0.0115813i | ||||
\(559\) | −5.38644 | + | 1.94276i | −0.227822 | + | 0.0821699i | ||||
\(560\) | 0.0615486 | + | 7.78811i | 0.00260090 | + | 0.329108i | ||||
\(561\) | −0.203002 | + | 0.823613i | −0.00857077 | + | 0.0347730i | ||||
\(562\) | 1.03001 | + | 1.96253i | 0.0434485 | + | 0.0827842i | ||||
\(563\) | −30.8861 | + | 11.7136i | −1.30169 | + | 0.493667i | −0.905440 | − | 0.424474i | \(-0.860459\pi\) |
−0.396254 | + | 0.918141i | \(0.629690\pi\) | |||||||
\(564\) | 4.39074 | + | 1.66519i | 0.184884 | + | 0.0701171i | ||||
\(565\) | 8.04926 | − | 7.24536i | 0.338635 | − | 0.304815i | ||||
\(566\) | 0.206056 | − | 0.836002i | 0.00866118 | − | 0.0351398i | ||||
\(567\) | −9.17522 | − | 4.81553i | −0.385323 | − | 0.202233i | ||||
\(568\) | 2.99791 | − | 2.06931i | 0.125789 | − | 0.0868262i | ||||
\(569\) | 29.0179 | + | 7.15228i | 1.21650 | + | 0.299839i | 0.794785 | − | 0.606891i | \(-0.207584\pi\) |
0.421711 | + | 0.906730i | \(0.361430\pi\) | |||||||
\(570\) | 1.19723 | − | 1.37310i | 0.0501465 | − | 0.0575130i | ||||
\(571\) | 2.15514 | + | 5.68264i | 0.0901898 | + | 0.237811i | 0.972520 | − | 0.232820i | \(-0.0747954\pi\) |
−0.882330 | + | 0.470631i | \(0.844026\pi\) | |||||||
\(572\) | −23.5491 | + | 2.46970i | −0.984638 | + | 0.103263i | ||||
\(573\) | −30.3533 | − | 11.5115i | −1.26803 | − | 0.480900i | ||||
\(574\) | 1.49746 | + | 0.181824i | 0.0625027 | + | 0.00758920i | ||||
\(575\) | 22.6069 | + | 24.7195i | 0.942772 | + | 1.03087i | ||||
\(576\) | −4.83153 | + | 12.7397i | −0.201314 | + | 0.530820i | ||||
\(577\) | −26.6557 | −1.10969 | −0.554846 | − | 0.831953i | \(-0.687223\pi\) | ||||
−0.554846 | + | 0.831953i | \(0.687223\pi\) | |||||||
\(578\) | 1.36109 | − | 3.58890i | 0.0566139 | − | 0.149279i | ||||
\(579\) | 4.50386 | + | 18.2729i | 0.187174 | + | 0.759395i | ||||
\(580\) | −1.87014 | + | 7.85407i | −0.0776534 | + | 0.326122i | ||||
\(581\) | 7.42863 | + | 1.83099i | 0.308191 | + | 0.0759624i | ||||
\(582\) | 4.15870 | + | 4.69420i | 0.172383 | + | 0.194581i | ||||
\(583\) | 2.63730 | + | 21.7201i | 0.109226 | + | 0.899554i | ||||
\(584\) | 0.0509260 | + | 0.419413i | 0.00210733 | + | 0.0173554i | ||||
\(585\) | 7.38567 | + | 14.3654i | 0.305360 | + | 0.593936i | ||||
\(586\) | 0.749351 | − | 6.17146i | 0.0309554 | − | 0.254941i | ||||
\(587\) | 23.2261 | 0.958646 | 0.479323 | − | 0.877639i | \(-0.340882\pi\) | ||||
0.479323 | + | 0.877639i | \(0.340882\pi\) | |||||||
\(588\) | 26.4512 | − | 3.21176i | 1.09083 | − | 0.132451i | ||||
\(589\) | 1.51840 | − | 0.796918i | 0.0625646 | − | 0.0328364i | ||||
\(590\) | 0.561996 | − | 0.828115i | 0.0231370 | − | 0.0340929i | ||||
\(591\) | −9.73486 | − | 10.9884i | −0.400439 | − | 0.452002i | ||||
\(592\) | 6.92269 | − | 6.13297i | 0.284521 | − | 0.252064i | ||||
\(593\) | 11.1297 | + | 29.3466i | 0.457041 | + | 1.20512i | 0.943487 | + | 0.331409i | \(0.107524\pi\) |
−0.486446 | + | 0.873711i | \(0.661707\pi\) | |||||||
\(594\) | −1.50271 | + | 0.788681i | −0.0616568 | + | 0.0323600i | ||||
\(595\) | −0.176250 | + | 0.158647i | −0.00722553 | + | 0.00650390i | ||||
\(596\) | − | 2.38121i | − | 0.0975382i | ||||||
\(597\) | −47.4705 | − | 5.76396i | −1.94284 | − | 0.235903i | ||||
\(598\) | −5.42831 | + | 0.569291i | −0.221980 | + | 0.0232801i | ||||
\(599\) | 2.20568 | + | 18.1654i | 0.0901215 | + | 0.742217i | 0.965794 | + | 0.259311i | \(0.0834956\pi\) |
−0.875672 | + | 0.482906i | \(0.839581\pi\) | |||||||
\(600\) | 2.23480 | − | 9.72598i | 0.0912352 | − | 0.397062i | ||||
\(601\) | −33.4819 | + | 29.6623i | −1.36575 | + | 1.20995i | −0.411334 | + | 0.911485i | \(0.634937\pi\) |
−0.954420 | + | 0.298467i | \(0.903525\pi\) | |||||||
\(602\) | −0.0809227 | + | 0.328316i | −0.00329816 | + | 0.0133812i | ||||
\(603\) | −7.60529 | + | 6.73770i | −0.309711 | + | 0.274380i | ||||
\(604\) | −6.77546 | − | 27.4891i | −0.275689 | − | 1.11852i | ||||
\(605\) | 0.195618 | + | 0.767499i | 0.00795300 | + | 0.0312033i | ||||
\(606\) | − | 0.363894i | − | 0.0147822i | ||||||
\(607\) | 13.8600 | + | 5.25641i | 0.562561 | + | 0.213351i | 0.619459 | − | 0.785029i | \(-0.287352\pi\) |
−0.0568984 | + | 0.998380i | \(0.518121\pi\) | |||||||
\(608\) | −1.96246 | + | 3.73916i | −0.0795883 | + | 0.151643i | ||||
\(609\) | −3.87650 | − | 0.470693i | −0.157084 | − | 0.0190734i | ||||
\(610\) | −0.602909 | − | 2.36549i | −0.0244111 | − | 0.0957759i | ||||
\(611\) | −2.94873 | + | 2.52758i | −0.119293 | + | 0.102255i | ||||
\(612\) | −0.410889 | + | 0.155830i | −0.0166092 | + | 0.00629904i | ||||
\(613\) | 14.8712 | − | 3.66543i | 0.600644 | − | 0.148045i | 0.0727419 | − | 0.997351i | \(-0.476825\pi\) |
0.527902 | + | 0.849305i | \(0.322979\pi\) | |||||||
\(614\) | 6.11077 | + | 1.50617i | 0.246611 | + | 0.0607840i | ||||
\(615\) | 33.2313 | + | 12.3035i | 1.34001 | + | 0.496123i | ||||
\(616\) | −1.31664 | + | 2.50865i | −0.0530489 | + | 0.101076i | ||||
\(617\) | 4.54965 | + | 1.12139i | 0.183162 | + | 0.0451454i | 0.329830 | − | 0.944040i | \(-0.393009\pi\) |
−0.146668 | + | 0.989186i | \(0.546855\pi\) | |||||||
\(618\) | 1.00279 | + | 8.25870i | 0.0403380 | + | 0.332213i | ||||
\(619\) | −19.4703 | − | 7.38412i | −0.782578 | − | 0.296793i | −0.0692283 | − | 0.997601i | \(-0.522054\pi\) |
−0.713350 | + | 0.700808i | \(0.752823\pi\) | |||||||
\(620\) | 2.60338 | − | 3.83614i | 0.104554 | − | 0.154063i | ||||
\(621\) | 13.2230 | − | 6.93995i | 0.530619 | − | 0.278491i | ||||
\(622\) | −2.73460 | − | 0.674018i | −0.109647 | − | 0.0270257i | ||||
\(623\) | −2.05803 | − | 1.42056i | −0.0824534 | − | 0.0569134i | ||||
\(624\) | −19.4010 | − | 22.6337i | −0.776663 | − | 0.906073i | ||||
\(625\) | 2.22753 | − | 24.9006i | 0.0891012 | − | 0.996023i | ||||
\(626\) | 1.28694 | − | 0.488072i | 0.0514364 | − | 0.0195073i | ||||
\(627\) | −11.3602 | + | 4.30834i | −0.453681 | + | 0.172059i | ||||
\(628\) | −35.8519 | − | 4.35321i | −1.43065 | − | 0.173712i | ||||
\(629\) | 0.279543 | + | 0.0339427i | 0.0111461 | + | 0.00135338i | ||||
\(630\) | 0.947794 | + | 0.107490i | 0.0377610 | + | 0.00428249i | ||||
\(631\) | −12.7464 | + | 8.79820i | −0.507426 | + | 0.350251i | −0.794110 | − | 0.607774i | \(-0.792063\pi\) |
0.286684 | + | 0.958025i | \(0.407447\pi\) | |||||||
\(632\) | 8.78800 | + | 7.78549i | 0.349568 | + | 0.309690i | ||||
\(633\) | 9.20746 | − | 17.5433i | 0.365964 | − | 0.697285i | ||||
\(634\) | −0.923485 | + | 7.60558i | −0.0366763 | + | 0.302056i | ||||
\(635\) | −12.3571 | + | 3.14953i | −0.490375 | + | 0.124985i | ||||
\(636\) | −21.1883 | + | 18.7712i | −0.840171 | + | 0.744326i | ||||
\(637\) | −8.15012 | + | 20.4748i | −0.322919 | + | 0.811241i | ||||
\(638\) | −0.935351 | + | 1.05579i | −0.0370309 | + | 0.0417993i | ||||
\(639\) | 3.80114 | + | 7.24246i | 0.150371 | + | 0.286507i | ||||
\(640\) | 0.119739 | + | 15.1513i | 0.00473311 | + | 0.598908i | ||||
\(641\) | 4.14864 | − | 3.67537i | 0.163861 | − | 0.145168i | −0.577208 | − | 0.816597i | \(-0.695858\pi\) |
0.741069 | + | 0.671429i | \(0.234319\pi\) | |||||||
\(642\) | −3.35213 | + | 0.826226i | −0.132298 | + | 0.0326085i | ||||
\(643\) | −10.5676 | − | 27.8645i | −0.416745 | − | 1.09887i | −0.964929 | − | 0.262509i | \(-0.915450\pi\) |
0.548184 | − | 0.836358i | \(-0.315319\pi\) | |||||||
\(644\) | 5.71795 | − | 10.8946i | 0.225319 | − | 0.429309i | ||||
\(645\) | −3.63580 | + | 7.06251i | −0.143159 | + | 0.278086i | ||||
\(646\) | −0.0397992 | + | 0.00980963i | −0.00156588 | + | 0.000385955i | ||||
\(647\) | 28.1421 | − | 31.7658i | 1.10638 | − | 1.24884i | 0.140435 | − | 0.990090i | \(-0.455150\pi\) |
0.965944 | − | 0.258753i | \(-0.0833116\pi\) | |||||||
\(648\) | −8.68799 | − | 4.55981i | −0.341296 | − | 0.179126i | ||||
\(649\) | −5.91008 | + | 3.10185i | −0.231991 | + | 0.121758i | ||||
\(650\) | 3.04756 | + | 2.70280i | 0.119535 | + | 0.106013i | ||||
\(651\) | 1.98550 | + | 1.04207i | 0.0778178 | + | 0.0408419i | ||||
\(652\) | 20.8800 | + | 30.2500i | 0.817725 | + | 1.18468i | ||||
\(653\) | − | 42.6397i | − | 1.66862i | −0.551297 | − | 0.834309i | \(-0.685867\pi\) | ||
0.551297 | − | 0.834309i | \(-0.314133\pi\) | |||||||
\(654\) | −8.47093 | −0.331240 | ||||||||
\(655\) | −29.1164 | − | 10.7800i | −1.13767 | − | 0.421209i | ||||
\(656\) | −25.9960 | − | 3.15648i | −1.01497 | − | 0.123240i | ||||
\(657\) | −0.948665 | −0.0370109 | ||||||||
\(658\) | 0.0276448 | + | 0.227676i | 0.00107771 | + | 0.00887572i | ||||
\(659\) | −13.0653 | + | 18.9283i | −0.508951 | + | 0.737343i | −0.990263 | − | 0.139206i | \(-0.955545\pi\) |
0.481312 | + | 0.876549i | \(0.340160\pi\) | |||||||
\(660\) | −21.5868 | + | 24.7580i | −0.840267 | + | 0.963702i | ||||
\(661\) | −19.2618 | − | 13.2955i | −0.749197 | − | 0.517133i | 0.131209 | − | 0.991355i | \(-0.458114\pi\) |
−0.880406 | + | 0.474222i | \(0.842730\pi\) | |||||||
\(662\) | −1.12089 | − | 4.54762i | −0.0435645 | − | 0.176748i | ||||
\(663\) | 0.124112 | − | 0.899135i | 0.00482012 | − | 0.0349195i | ||||
\(664\) | 7.03415 | + | 1.73376i | 0.272978 | + | 0.0672830i | ||||
\(665\) | −3.30411 | − | 0.786746i | −0.128128 | − | 0.0305087i | ||||
\(666\) | −0.643456 | − | 0.932206i | −0.0249334 | − | 0.0361223i | ||||
\(667\) | 8.23057 | − | 9.29039i | 0.318689 | − | 0.359725i | ||||
\(668\) | −5.19375 | + | 7.52444i | −0.200952 | + | 0.291129i | ||||
\(669\) | 13.8034 | + | 9.52780i | 0.533670 | + | 0.368366i | ||||
\(670\) | −1.17279 | + | 2.27814i | −0.0453089 | + | 0.0880122i | ||||
\(671\) | −3.89615 | + | 15.8073i | −0.150409 | + | 0.610234i | ||||
\(672\) | −5.48166 | + | 0.665594i | −0.211460 | + | 0.0256758i | ||||
\(673\) | −33.8778 | − | 12.8482i | −1.30589 | − | 0.495260i | −0.399128 | − | 0.916895i | \(-0.630687\pi\) |
−0.906766 | + | 0.421635i | \(0.861456\pi\) | |||||||
\(674\) | 3.98781 | − | 4.50131i | 0.153605 | − | 0.173384i | ||||
\(675\) | −10.4819 | − | 3.78689i | −0.403450 | − | 0.145757i | ||||
\(676\) | 24.7850 | − | 5.25645i | 0.953270 | − | 0.202171i | ||||
\(677\) | − | 11.9114i | − | 0.457792i | −0.973451 | − | 0.228896i | \(-0.926488\pi\) | ||
0.973451 | − | 0.228896i | \(-0.0735115\pi\) | |||||||
\(678\) | 1.83228 | + | 1.62325i | 0.0703681 | + | 0.0623407i | ||||
\(679\) | 4.14619 | − | 10.9326i | 0.159116 | − | 0.419555i | ||||
\(680\) | −0.166890 | + | 0.150223i | −0.00639995 | + | 0.00576077i | ||||
\(681\) | 7.72604 | − | 31.3458i | 0.296063 | − | 1.20117i | ||||
\(682\) | 0.717187 | − | 0.376409i | 0.0274625 | − | 0.0144134i | ||||
\(683\) | −24.7509 | + | 35.8579i | −0.947068 | + | 1.37206i | −0.0189324 | + | 0.999821i | \(0.506027\pi\) |
−0.928135 | + | 0.372243i | \(0.878589\pi\) | |||||||
\(684\) | −5.18002 | − | 3.57551i | −0.198063 | − | 0.136713i | ||||
\(685\) | −5.17621 | − | 0.587035i | −0.197773 | − | 0.0224295i | ||||
\(686\) | 1.58592 | + | 2.29760i | 0.0605507 | + | 0.0877229i | ||||
\(687\) | 14.2509 | − | 12.6252i | 0.543704 | − | 0.481680i | ||||
\(688\) | 1.40482 | − | 5.69959i | 0.0535584 | − | 0.217295i | ||||
\(689\) | −5.23067 | − | 22.8199i | −0.199273 | − | 0.869368i | ||||
\(690\) | −4.97599 | + | 5.70696i | −0.189433 | + | 0.217260i | ||||
\(691\) | 5.34255 | + | 3.68769i | 0.203240 | + | 0.140286i | 0.665338 | − | 0.746543i | \(-0.268288\pi\) |
−0.462098 | + | 0.886829i | \(0.652903\pi\) | |||||||
\(692\) | 5.86932 | + | 23.8127i | 0.223118 | + | 0.905225i | ||||
\(693\) | −5.23548 | − | 3.61379i | −0.198879 | − | 0.137277i | ||||
\(694\) | −5.27588 | + | 0.640608i | −0.200270 | + | 0.0243171i | ||||
\(695\) | −25.4341 | + | 17.8543i | −0.964770 | + | 0.677251i | ||||
\(696\) | −3.67065 | − | 0.445697i | −0.139136 | − | 0.0168941i | ||||
\(697\) | −0.452931 | − | 0.656183i | −0.0171560 | − | 0.0248547i | ||||
\(698\) | 0.274072i | 0.0103738i | ||||||||
\(699\) | 6.03370 | 0.228215 | ||||||||
\(700\) | −8.87992 | + | 2.33818i | −0.335629 | + | 0.0883747i | ||||
\(701\) | 29.9727 | + | 15.7309i | 1.13206 | + | 0.594148i | 0.923399 | − | 0.383841i | \(-0.125399\pi\) |
0.208656 | + | 0.977989i | \(0.433091\pi\) | |||||||
\(702\) | 1.51114 | − | 1.00702i | 0.0570343 | − | 0.0380073i | ||||
\(703\) | 1.87437 | + | 3.57132i | 0.0706933 | + | 0.134695i | ||||
\(704\) | 10.6493 | − | 20.2906i | 0.401361 | − | 0.764729i | ||||
\(705\) | −0.607129 | + | 5.35339i | −0.0228658 | + | 0.201620i | ||||
\(706\) | 0.790499 | − | 0.194840i | 0.0297508 | − | 0.00733292i | ||||
\(707\) | −0.600735 | + | 0.315290i | −0.0225930 | + | 0.0118577i | ||||
\(708\) | −7.64631 | − | 4.01309i | −0.287366 | − | 0.150821i | ||||
\(709\) | 42.2518 | − | 16.0240i | 1.58680 | − | 0.601793i | 0.605767 | − | 0.795642i | \(-0.292867\pi\) |
0.981031 | + | 0.193849i | \(0.0620973\pi\) | |||||||
\(710\) | 1.55470 | + | 1.35556i | 0.0583467 | + | 0.0508734i | ||||
\(711\) | −19.7325 | + | 17.4815i | −0.740027 | + | 0.655607i | ||||
\(712\) | −1.94875 | − | 1.34512i | −0.0730323 | − | 0.0504106i | ||||
\(713\) | −6.31084 | + | 3.31219i | −0.236343 | + | 0.124042i | ||||
\(714\) | −0.0401202 | − | 0.0355434i | −0.00150146 | − | 0.00133018i | ||||
\(715\) | −9.41880 | − | 25.4816i | −0.352243 | − | 0.952956i | ||||
\(716\) | −29.3397 | + | 25.9927i | −1.09647 | + | 0.971392i | ||||
\(717\) | 6.41493 | − | 16.9148i | 0.239570 | − | 0.631694i | ||||
\(718\) | 2.10754 | + | 0.255902i | 0.0786527 | + | 0.00955017i | ||||
\(719\) | −17.3143 | − | 9.08724i | −0.645714 | − | 0.338897i | 0.109873 | − | 0.993946i | \(-0.464956\pi\) |
−0.755586 | + | 0.655049i | \(0.772648\pi\) | |||||||
\(720\) | −16.4538 | − | 1.86603i | −0.613196 | − | 0.0695427i | ||||
\(721\) | 12.7650 | − | 8.81107i | 0.475395 | − | 0.328141i | ||||
\(722\) | 2.77398 | + | 2.45753i | 0.103237 | + | 0.0914597i | ||||
\(723\) | −6.12016 | + | 50.4040i | −0.227611 | + | 1.87455i | ||||
\(724\) | 0.0378663 | − | 0.311857i | 0.00140729 | − | 0.0115901i | ||||
\(725\) | −9.26192 | + | 0.146401i | −0.343979 | + | 0.00543720i | ||||
\(726\) | −0.167392 | + | 0.0634832i | −0.00621248 | + | 0.00235608i | ||||
\(727\) | −43.5787 | + | 30.0802i | −1.61625 | + | 1.11561i | −0.700655 | + | 0.713500i | \(0.747109\pi\) |
−0.915590 | + | 0.402113i | \(0.868276\pi\) | |||||||
\(728\) | 1.12117 | − | 2.81662i | 0.0415533 | − | 0.104391i | ||||
\(729\) | 4.01830 | − | 5.82151i | 0.148826 | − | 0.215611i | ||||
\(730\) | −0.223011 | + | 0.0865989i | −0.00825400 | + | 0.00320517i | ||||
\(731\) | 0.158259 | − | 0.0830605i | 0.00585341 | − | 0.00307211i | ||||
\(732\) | −19.6944 | + | 7.46909i | −0.727925 | + | 0.276065i | ||||
\(733\) | −15.3709 | + | 40.5297i | −0.567737 | + | 1.49700i | 0.276492 | + | 0.961016i | \(0.410828\pi\) |
−0.844229 | + | 0.535983i | \(0.819941\pi\) | |||||||
\(734\) | 3.89761 | − | 0.473256i | 0.143864 | − | 0.0174682i | ||||
\(735\) | 11.0662 | + | 28.4978i | 0.408181 | + | 1.05116i | ||||
\(736\) | 8.15647 | − | 15.5409i | 0.300651 | − | 0.572843i | ||||
\(737\) | 14.0636 | − | 9.70740i | 0.518039 | − | 0.357577i | ||||
\(738\) | −0.767536 | + | 3.11402i | −0.0282534 | + | 0.114629i | ||||
\(739\) | −10.5870 | − | 42.9531i | −0.389448 | − | 1.58005i | −0.759158 | − | 0.650907i | \(-0.774389\pi\) |
0.369709 | − | 0.929147i | \(-0.379457\pi\) | |||||||
\(740\) | 9.02272 | + | 6.12322i | 0.331682 | + | 0.225094i | ||||
\(741\) | 11.6085 | − | 5.85274i | 0.426449 | − | 0.215006i | ||||
\(742\) | −1.29269 | − | 0.490251i | −0.0474560 | − | 0.0179977i | ||||
\(743\) | −4.00732 | + | 33.0033i | −0.147014 | + | 1.21077i | 0.713245 | + | 0.700915i | \(0.247225\pi\) |
−0.860259 | + | 0.509857i | \(0.829698\pi\) | |||||||
\(744\) | 1.88006 | + | 0.986733i | 0.0689265 | + | 0.0361754i | ||||
\(745\) | 2.64738 | − | 0.674757i | 0.0969925 | − | 0.0247212i | ||||
\(746\) | 3.33230i | 0.122004i | ||||||||
\(747\) | −5.76840 | + | 15.2100i | −0.211055 | + | 0.556506i | ||||
\(748\) | 0.717606 | − | 0.176874i | 0.0262383 | − | 0.00646715i | ||||
\(749\) | 4.26837 | + | 4.81800i | 0.155963 | + | 0.176046i | ||||
\(750\) | 5.64921 | − | 0.133958i | 0.206280 | − | 0.00489144i | ||||
\(751\) | −6.39993 | + | 5.66984i | −0.233537 | + | 0.206895i | −0.771772 | − | 0.635899i | \(-0.780629\pi\) |
0.538236 | + | 0.842794i | \(0.319091\pi\) | |||||||
\(752\) | −0.479917 | − | 3.95247i | −0.0175008 | − | 0.144132i | ||||
\(753\) | −29.3235 | + | 3.56052i | −1.06861 | + | 0.129753i | ||||
\(754\) | 0.877556 | − | 1.22795i | 0.0319587 | − | 0.0447194i | ||||
\(755\) | 28.6418 | − | 15.3223i | 1.04238 | − | 0.557636i | ||||
\(756\) | 4.09361i | 0.148883i | ||||||||
\(757\) | 44.0823 | − | 5.35256i | 1.60220 | − | 0.194542i | 0.729913 | − | 0.683540i | \(-0.239560\pi\) |
0.872285 | + | 0.488998i | \(0.162637\pi\) | |||||||
\(758\) | 2.11093 | + | 4.02204i | 0.0766724 | + | 0.146087i | ||||
\(759\) | 47.2156 | − | 17.9065i | 1.71382 | − | 0.649966i | ||||
\(760\) | −3.12866 | − | 0.744968i | −0.113488 | − | 0.0270228i | ||||
\(761\) | −19.7561 | − | 22.3000i | −0.716156 | − | 0.808374i | 0.271923 | − | 0.962319i | \(-0.412340\pi\) |
−0.988079 | + | 0.153946i | \(0.950802\pi\) | |||||||
\(762\) | −1.02211 | − | 2.69508i | −0.0370270 | − | 0.0976323i | ||||
\(763\) | 7.33950 | + | 13.9842i | 0.265708 | + | 0.506264i | ||||
\(764\) | 3.40933 | + | 28.0783i | 0.123345 | + | 1.01584i | ||||
\(765\) | −0.289680 | − | 0.412660i | −0.0104734 | − | 0.0149198i | ||||
\(766\) | 0.126986 | − | 1.04582i | 0.00458818 | − | 0.0377871i | ||||
\(767\) | 5.94324 | − | 3.96055i | 0.214598 | − | 0.143007i | ||||
\(768\) | 26.8023 | − | 3.25439i | 0.967146 | − | 0.117433i | ||||
\(769\) | −12.5872 | + | 1.52836i | −0.453905 | + | 0.0551140i | −0.344297 | − | 0.938861i | \(-0.611883\pi\) |
−0.109608 | + | 0.993975i | \(0.534960\pi\) | |||||||
\(770\) | −1.56063 | − | 0.371605i | −0.0562414 | − | 0.0133917i | ||||
\(771\) | −29.3845 | − | 7.24262i | −1.05826 | − | 0.260837i | ||||
\(772\) | 12.2737 | − | 10.8735i | 0.441739 | − | 0.391347i | ||||
\(773\) | 10.5841 | − | 2.60876i | 0.380685 | − | 0.0938305i | −0.0443294 | − | 0.999017i | \(-0.514115\pi\) |
0.425015 | + | 0.905186i | \(0.360269\pi\) | |||||||
\(774\) | −0.672223 | − | 0.254941i | −0.0241626 | − | 0.00916365i | ||||
\(775\) | 5.00265 | + | 1.80734i | 0.179701 | + | 0.0649217i | ||||
\(776\) | 3.92601 | − | 10.3520i | 0.140936 | − | 0.371617i | ||||
\(777\) | −2.45098 | + | 4.66995i | −0.0879284 | + | 0.167534i | ||||
\(778\) | 0.400111 | − | 3.29521i | 0.0143447 | − | 0.118139i | ||||
\(779\) | 4.04961 | − | 10.6780i | 0.145092 | − | 0.382577i | ||||
\(780\) | 20.2093 | − | 28.7563i | 0.723609 | − | 1.02964i | ||||
\(781\) | −4.87811 | − | 12.8625i | −0.174552 | − | 0.460257i | ||||
\(782\) | 0.165415 | − | 0.0407712i | 0.00591524 | − | 0.00145798i | ||||
\(783\) | −0.988251 | + | 4.00949i | −0.0353172 | + | 0.143288i | ||||
\(784\) | −12.8336 | − | 18.5927i | −0.458343 | − | 0.664025i | ||||
\(785\) | −5.31945 | − | 41.0930i | −0.189859 | − | 1.46667i | ||||
\(786\) | 1.67948 | − | 6.81390i | 0.0599049 | − | 0.243044i | ||||
\(787\) | 5.98767 | + | 49.3129i | 0.213438 | + | 1.75782i | 0.568229 | + | 0.822871i | \(0.307629\pi\) |
−0.354791 | + | 0.934946i | \(0.615448\pi\) | |||||||
\(788\) | −4.53569 | + | 11.9596i | −0.161577 | + | 0.426044i | ||||
\(789\) | 3.78629 | + | 9.98362i | 0.134795 | + | 0.355426i | ||||
\(790\) | −3.04290 | + | 5.91081i | −0.108261 | + | 0.210297i | ||||
\(791\) | 1.09221 | − | 4.43126i | 0.0388344 | − | 0.157557i | ||||
\(792\) | −4.95746 | − | 3.42189i | −0.176156 | − | 0.121592i | ||||
\(793\) | 2.38204 | − | 17.2567i | 0.0845887 | − | 0.612805i | ||||
\(794\) | 1.51304 | + | 2.19202i | 0.0536959 | + | 0.0777920i | ||||
\(795\) | −26.8735 | − | 18.2376i | −0.953104 | − | 0.646819i | ||||
\(796\) | 14.7744 | + | 38.9568i | 0.523664 | + | 1.38079i | ||||
\(797\) | 32.3060 | + | 3.92266i | 1.14434 | + | 0.138948i | 0.670670 | − | 0.741756i | \(-0.266007\pi\) |
0.473667 | + | 0.880704i | \(0.342930\pi\) | |||||||
\(798\) | 0.0925378 | − | 0.762117i | 0.00327580 | − | 0.0269787i | ||||
\(799\) | 0.0803878 | − | 0.0907391i | 0.00284392 | − | 0.00321012i | ||||
\(800\) | −12.6669 | + | 3.33533i | −0.447843 | + | 0.117922i | ||||
\(801\) | 3.52574 | − | 3.97974i | 0.124576 | − | 0.140617i | ||||
\(802\) | 4.03359 | − | 7.68537i | 0.142431 | − | 0.271380i | ||||
\(803\) | 1.58388 | + | 0.192318i | 0.0558939 | + | 0.00678675i | ||||
\(804\) | 20.6720 | + | 7.83986i | 0.729046 | + | 0.276491i | ||||
\(805\) | 13.7327 | + | 3.26991i | 0.484014 | + | 0.115249i | ||||
\(806\) | −0.721212 | + | 0.480612i | −0.0254036 | + | 0.0169288i | ||||
\(807\) | −44.5060 | + | 50.2369i | −1.56668 | + | 1.76842i | ||||
\(808\) | −0.568834 | + | 0.298547i | −0.0200115 | + | 0.0105029i | ||||
\(809\) | 12.7512 | − | 18.4734i | 0.448310 | − | 0.649489i | −0.532048 | − | 0.846714i | \(-0.678578\pi\) |
0.980358 | + | 0.197225i | \(0.0631930\pi\) | |||||||
\(810\) | 1.28695 | − | 5.40482i | 0.0452187 | − | 0.189906i | ||||
\(811\) | −0.479126 | − | 1.94389i | −0.0168244 | − | 0.0682592i | 0.961930 | − | 0.273297i | \(-0.0881143\pi\) |
−0.978754 | + | 0.205038i | \(0.934268\pi\) | |||||||
\(812\) | 1.20649 | + | 3.18126i | 0.0423396 | + | 0.111640i | ||||
\(813\) | −40.6119 | − | 21.3148i | −1.42432 | − | 0.747542i | ||||
\(814\) | 0.885324 | + | 1.68684i | 0.0310306 | + | 0.0591239i | ||||
\(815\) | −27.7145 | + | 31.7858i | −0.970798 | + | 1.11341i | ||||
\(816\) | 0.696489 | + | 0.617036i | 0.0243820 | + | 0.0216006i | ||||
\(817\) | 2.26674 | + | 1.18968i | 0.0793033 | + | 0.0416216i | ||||
\(818\) | 3.80128 | + | 7.24273i | 0.132909 | + | 0.253236i | ||||
\(819\) | 5.97485 | + | 3.26144i | 0.208778 | + | 0.113964i | ||||
\(820\) | −3.96364 | − | 30.6193i | −0.138416 | − | 1.06927i | ||||
\(821\) | −43.0918 | + | 29.7441i | −1.50391 | + | 1.03808i | −0.521097 | + | 0.853498i | \(0.674477\pi\) |
−0.982818 | + | 0.184580i | \(0.940908\pi\) | |||||||
\(822\) | − | 1.17749i | − | 0.0410696i | ||||||
\(823\) | 11.4898i | 0.400508i | 0.979744 | + | 0.200254i | \(0.0641767\pi\) | ||||
−0.979744 | + | 0.200254i | \(0.935823\pi\) | |||||||
\(824\) | 12.0872 | − | 8.34317i | 0.421077 | − | 0.290648i | ||||
\(825\) | −33.6424 | − | 16.9842i | −1.17128 | − | 0.591314i | ||||
\(826\) | − | 0.421756i | − | 0.0146748i | ||||||
\(827\) | −4.80825 | − | 39.5995i | −0.167199 | − | 1.37701i | −0.798745 | − | 0.601670i | \(-0.794502\pi\) |
0.631546 | − | 0.775338i | \(-0.282421\pi\) | |||||||
\(828\) | 21.5294 | + | 14.8607i | 0.748200 | + | 0.516445i | ||||
\(829\) | −1.09899 | + | 0.270876i | −0.0381694 | + | 0.00940792i | −0.258354 | − | 0.966050i | \(-0.583180\pi\) |
0.220185 | + | 0.975458i | \(0.429334\pi\) | |||||||
\(830\) | 0.0324187 | + | 4.10212i | 0.00112527 | + | 0.142387i | ||||
\(831\) | 8.34355 | − | 2.05650i | 0.289434 | − | 0.0713392i | ||||
\(832\) | −9.06830 | + | 22.7815i | −0.314387 | + | 0.789806i | ||||
\(833\) | 0.164616 | − | 0.667873i | 0.00570361 | − | 0.0231404i | ||||
\(834\) | −4.65776 | − | 5.25753i | −0.161285 | − | 0.182053i | ||||
\(835\) | −9.83725 | − | 3.64212i | −0.340432 | − | 0.126041i | ||||
\(836\) | 7.92366 | + | 7.01975i | 0.274045 | + | 0.242783i | ||||
\(837\) | 1.34703 | − | 1.95152i | 0.0465603 | − | 0.0674543i | ||||
\(838\) | 4.22661 | − | 6.12330i | 0.146006 | − | 0.211526i | ||||
\(839\) | −23.2717 | − | 44.3405i | −0.803427 | − | 1.53080i | −0.846903 | − | 0.531748i | \(-0.821535\pi\) |
0.0434754 | − | 0.999054i | \(-0.486157\pi\) | |||||||
\(840\) | −1.52232 | − | 3.92029i | −0.0525249 | − | 0.135263i | ||||
\(841\) | −3.08186 | − | 25.3814i | −0.106271 | − | 0.875221i | ||||
\(842\) | 5.54306 | + | 2.10221i | 0.191027 | + | 0.0724468i | ||||
\(843\) | 16.4235 | + | 14.5500i | 0.565656 | + | 0.501128i | ||||
\(844\) | −17.2627 | −0.594205 | ||||||||
\(845\) | 12.8673 | + | 26.0659i | 0.442647 | + | 0.896696i | ||||
\(846\) | −0.487630 | −0.0167651 | ||||||||
\(847\) | 0.249835 | + | 0.221335i | 0.00858444 | + | 0.00760515i | ||||
\(848\) | 22.4411 | + | 8.51080i | 0.770632 | + | 0.292262i | ||||
\(849\) | −1.02743 | − | 8.46167i | −0.0352614 | − | 0.290404i | ||||
\(850\) | −0.105767 | − | 0.0705642i | −0.00362779 | − | 0.00242033i | ||||
\(851\) | −7.79036 | − | 14.8433i | −0.267050 | − | 0.508821i | ||||
\(852\) | 10.1103 | − | 14.6473i | 0.346372 | − | 0.501807i | ||||
\(853\) | 7.09791 | − | 10.2831i | 0.243028 | − | 0.352087i | −0.682421 | − | 0.730959i | \(-0.739073\pi\) |
0.925449 | + | 0.378873i | \(0.123688\pi\) | |||||||
\(854\) | −0.770011 | − | 0.682170i | −0.0263492 | − | 0.0233434i | ||||
\(855\) | 2.50733 | − | 6.77222i | 0.0857488 | − | 0.231605i | ||||
\(856\) | 4.04171 | + | 4.56215i | 0.138143 | + | 0.155931i | ||||
\(857\) | 2.80316 | − | 11.3729i | 0.0957542 | − | 0.388490i | −0.903436 | − | 0.428723i | \(-0.858964\pi\) |
0.999190 | + | 0.0402326i | \(0.0128099\pi\) | |||||||
\(858\) | 5.48305 | − | 2.76443i | 0.187188 | − | 0.0943761i | ||||
\(859\) | −31.8253 | + | 7.84423i | −1.08586 | + | 0.267642i | −0.741336 | − | 0.671134i | \(-0.765807\pi\) |
−0.344529 | + | 0.938776i | \(0.611961\pi\) | |||||||
\(860\) | 6.92081 | − | 0.0546945i | 0.235998 | − | 0.00186507i | ||||
\(861\) | 14.4993 | − | 3.57374i | 0.494133 | − | 0.121793i | ||||
\(862\) | −0.157051 | − | 0.108405i | −0.00534919 | − | 0.00369228i | ||||
\(863\) | −1.09288 | − | 9.00067i | −0.0372020 | − | 0.306386i | −0.999418 | − | 0.0341004i | \(-0.989143\pi\) |
0.962216 | − | 0.272286i | \(-0.0877797\pi\) | |||||||
\(864\) | 5.83940i | 0.198660i | ||||||||
\(865\) | −24.8113 | + | 13.2731i | −0.843610 | + | 0.451300i | ||||
\(866\) | 6.13047 | − | 4.23155i | 0.208322 | − | 0.143794i | ||||
\(867\) | − | 37.9982i | − | 1.29049i | ||||||
\(868\) | − | 1.95373i | − | 0.0663140i | ||||||
\(869\) | 36.4891 | − | 25.1866i | 1.23781 | − | 0.854397i | ||||
\(870\) | −0.268791 | − | 2.07642i | −0.00911288 | − | 0.0703974i | ||||
\(871\) | −13.8829 | + | 11.9001i | −0.470404 | + | 0.403219i | ||||
\(872\) | 6.94975 | + | 13.2416i | 0.235348 | + | 0.448419i | ||||
\(873\) | 22.0124 | + | 11.5530i | 0.745006 | + | 0.391009i | ||||
\(874\) | 1.82648 | + | 1.61812i | 0.0617817 | + | 0.0547338i | ||||
\(875\) | −5.11581 | − | 9.20994i | −0.172946 | − | 0.311353i | ||||
\(876\) | 0.959297 | + | 1.82779i | 0.0324116 | + | 0.0617552i | ||||
\(877\) | 28.7803 | + | 15.1050i | 0.971840 | + | 0.510061i | 0.874413 | − | 0.485182i | \(-0.161247\pi\) |
0.0974267 | + | 0.995243i | \(0.468939\pi\) | |||||||
\(878\) | 3.27578 | + | 8.63751i | 0.110552 | + | 0.291502i | ||||
\(879\) | −14.7285 | − | 59.7557i | −0.496779 | − | 2.01551i | ||||
\(880\) | 27.0927 | + | 6.45108i | 0.913296 | + | 0.217466i | ||||
\(881\) | 12.5328 | − | 18.1569i | 0.422240 | − | 0.611721i | −0.552916 | − | 0.833237i | \(-0.686485\pi\) |
0.975157 | + | 0.221516i | \(0.0711005\pi\) | |||||||
\(882\) | −2.44998 | + | 1.28585i | −0.0824950 | + | 0.0432967i | ||||
\(883\) | −30.2368 | + | 34.1303i | −1.01755 | + | 1.14858i | −0.0287110 | + | 0.999588i | \(0.509140\pi\) |
−0.988839 | + | 0.148989i | \(0.952398\pi\) | |||||||
\(884\) | −0.743926 | + | 0.268316i | −0.0250209 | + | 0.00902445i | ||||
\(885\) | 2.29496 | − | 9.63818i | 0.0771441 | − | 0.323984i | ||||
\(886\) | −2.55243 | − | 0.968007i | −0.0857504 | − | 0.0325208i | ||||
\(887\) | 5.60499 | + | 0.680569i | 0.188197 | + | 0.0228513i | 0.214093 | − | 0.976813i | \(-0.431321\pi\) |
−0.0258953 | + | 0.999665i | \(0.508244\pi\) | |||||||
\(888\) | −2.32083 | + | 4.42196i | −0.0778818 | + | 0.148391i | ||||
\(889\) | −3.56358 | + | 4.02245i | −0.119519 | + | 0.134909i | ||||
\(890\) | 0.465536 | − | 1.25740i | 0.0156048 | − | 0.0421481i | ||||
\(891\) | −24.5712 | + | 27.7351i | −0.823165 | + | 0.929162i | ||||
\(892\) | 1.76147 | − | 14.5070i | 0.0589785 | − | 0.485732i | ||||
\(893\) | 1.72367 | + | 0.209291i | 0.0576803 | + | 0.00700366i | ||||
\(894\) | 0.218977 | + | 0.577394i | 0.00732367 | + | 0.0193109i | ||||
\(895\) | −37.2120 | − | 25.2537i | −1.24386 | − | 0.844139i | ||||
\(896\) | 3.62721 | + | 5.25492i | 0.121176 | + | 0.175554i | ||||
\(897\) | −48.2478 | + | 24.3254i | −1.61095 | + | 0.812203i | ||||
\(898\) | 1.58450 | + | 1.09370i | 0.0528754 | + | 0.0364972i | ||||
\(899\) | 0.471657 | − | 1.91359i | 0.0157306 | − | 0.0638217i | ||||
\(900\) | −2.65934 | − | 19.3417i | −0.0886446 | − | 0.644722i | ||||
\(901\) | 0.259132 | + | 0.683274i | 0.00863292 | + | 0.0227631i | ||||
\(902\) | 1.91276 | − | 5.04353i | 0.0636879 | − | 0.167931i | ||||
\(903\) | 0.403495 | + | 3.32308i | 0.0134275 | + | 0.110585i | ||||
\(904\) | 1.03421 | − | 4.19594i | 0.0343972 | − | 0.139555i | ||||
\(905\) | 0.357445 | − | 0.0462710i | 0.0118819 | − | 0.00153810i | ||||
\(906\) | 4.17081 | + | 6.04246i | 0.138566 | + | 0.200747i | ||||
\(907\) | 4.87372 | − | 19.7734i | 0.161829 | − | 0.656566i | −0.832846 | − | 0.553505i | \(-0.813290\pi\) |
0.994675 | − | 0.103061i | \(-0.0328638\pi\) | |||||||
\(908\) | −27.3113 | + | 6.73162i | −0.906356 | + | 0.223397i | ||||
\(909\) | −0.511512 | − | 1.34875i | −0.0169658 | − | 0.0447351i | ||||
\(910\) | 1.70228 | + | 0.221280i | 0.0564301 | + | 0.00733537i | ||||
\(911\) | −3.59800 | + | 9.48715i | −0.119207 | + | 0.314323i | −0.981317 | − | 0.192398i | \(-0.938373\pi\) |
0.862110 | + | 0.506721i | \(0.169143\pi\) | |||||||
\(912\) | −1.60646 | + | 13.2304i | −0.0531953 | + | 0.438103i | ||||
\(913\) | 12.7143 | − | 24.2251i | 0.420782 | − | 0.801733i | ||||
\(914\) | 0.887529 | − | 2.34022i | 0.0293569 | − | 0.0774077i | ||||
\(915\) | −13.8847 | − | 19.7793i | −0.459014 | − | 0.653883i | ||||
\(916\) | −15.5105 | − | 5.88234i | −0.512480 | − | 0.194358i | ||||
\(917\) | −12.7039 | + | 3.13123i | −0.419520 | + | 0.103402i | ||||
\(918\) | −0.0424269 | + | 0.0375869i | −0.00140030 | + | 0.00124055i | ||||
\(919\) | 3.68949 | + | 0.909377i | 0.121705 | + | 0.0299976i | 0.299698 | − | 0.954034i | \(-0.403114\pi\) |
−0.177993 | + | 0.984032i | \(0.556960\pi\) | |||||||
\(920\) | 13.0035 | + | 3.09627i | 0.428711 | + | 0.102081i | ||||
\(921\) | 61.8507 | − | 7.51003i | 2.03805 | − | 0.247464i | ||||
\(922\) | 0.151222 | − | 0.0183617i | 0.00498024 | − | 0.000604711i | ||||
\(923\) | 6.62676 | + | 13.1437i | 0.218122 | + | 0.432630i | ||||
\(924\) | −1.66852 | + | 13.7415i | −0.0548901 | + | 0.452061i | ||||
\(925\) | −4.25093 | + | 11.7664i | −0.139770 | + | 0.386876i | ||||
\(926\) | −0.234572 | − | 1.93188i | −0.00770853 | − | 0.0634854i | ||||
\(927\) | 15.3257 | + | 29.2007i | 0.503362 | + | 0.959076i | ||||
\(928\) | 1.72102 | + | 4.53797i | 0.0564954 | + | 0.148966i | ||||
\(929\) | −5.62141 | − | 6.34526i | −0.184432 | − | 0.208181i | 0.649022 | − | 0.760770i | \(-0.275178\pi\) |
−0.833454 | + | 0.552589i | \(0.813640\pi\) | |||||||
\(930\) | −0.278493 | + | 1.16959i | −0.00913213 | + | 0.0383524i | ||||
\(931\) | 9.21202 | − | 3.49366i | 0.301912 | − | 0.114500i | ||||
\(932\) | −2.44309 | − | 4.65493i | −0.0800262 | − | 0.152477i | ||||
\(933\) | −27.6785 | + | 3.36078i | −0.906153 | + | 0.110027i | ||||
\(934\) | − | 7.52686i | − | 0.246286i | ||||||
\(935\) | 0.399990 | + | 0.747698i | 0.0130811 | + | 0.0244523i | ||||
\(936\) | 5.65757 | + | 3.08825i | 0.184923 | + | 0.100942i | ||||
\(937\) | 13.1271 | − | 1.59392i | 0.428845 | − | 0.0520712i | 0.0967313 | − | 0.995311i | \(-0.469161\pi\) |
0.332114 | + | 0.943239i | \(0.392238\pi\) | |||||||
\(938\) | 0.130154 | + | 1.07192i | 0.00424969 | + | 0.0349994i | ||||
\(939\) | 10.1990 | − | 9.03551i | 0.332831 | − | 0.294863i | ||||
\(940\) | 4.37591 | − | 1.69924i | 0.142726 | − | 0.0554231i | ||||
\(941\) | −33.8068 | − | 38.1600i | −1.10207 | − | 1.24398i | −0.967444 | − | 0.253085i | \(-0.918555\pi\) |
−0.134627 | − | 0.990896i | \(-0.542984\pi\) | |||||||
\(942\) | 9.09367 | − | 2.24139i | 0.296288 | − | 0.0730283i | ||||
\(943\) | −16.8312 | + | 44.3802i | −0.548099 | + | 1.44522i | ||||
\(944\) | 7.32171i | 0.238301i | ||||||||
\(945\) | −4.55119 | + | 1.15999i | −0.148050 | + | 0.0377346i | ||||
\(946\) | 1.07065 | + | 0.561922i | 0.0348099 | + | 0.0182697i | ||||
\(947\) | 6.22536 | − | 51.2705i | 0.202297 | − | 1.66607i | −0.438784 | − | 0.898593i | \(-0.644591\pi\) |
0.641081 | − | 0.767473i | \(-0.278486\pi\) | |||||||
\(948\) | 53.6352 | + | 20.3411i | 1.74199 | + | 0.660649i | ||||
\(949\) | −1.70701 | − | 0.0278914i | −0.0554118 | − | 0.000905393i | ||||
\(950\) | −0.0287823 | − | 1.82089i | −0.000933823 | − | 0.0590773i | ||||
\(951\) | 18.1510 | + | 73.6417i | 0.588588 | + | 2.38799i | ||||
\(952\) | −0.0226454 | + | 0.0918760i | −0.000733941 | + | 0.00297772i | ||||
\(953\) | 23.2423 | − | 16.0430i | 0.752891 | − | 0.519683i | −0.128708 | − | 0.991683i | \(-0.541083\pi\) |
0.881599 | + | 0.472000i | \(0.156468\pi\) | |||||||
\(954\) | 1.36604 | − | 2.60277i | 0.0442272 | − | 0.0842679i | ||||
\(955\) | −30.2508 | + | 11.7469i | −0.978893 | + | 0.380120i | ||||
\(956\) | −15.6470 | + | 1.89989i | −0.506061 | + | 0.0614469i | ||||
\(957\) | −4.95160 | + | 13.0563i | −0.160063 | + | 0.422050i | ||||
\(958\) | 7.97891 | − | 3.02600i | 0.257787 | − | 0.0977657i | ||||
\(959\) | −1.94386 | + | 1.02022i | −0.0627704 | + | 0.0329445i | ||||
\(960\) | 12.3129 | + | 31.7083i | 0.397396 | + | 1.02338i | ||||
\(961\) | 16.9671 | − | 24.5811i | 0.547326 | − | 0.792939i | ||||
\(962\) | −1.13041 | − | 1.69631i | −0.0364460 | − | 0.0546912i | ||||
\(963\) | −11.2630 | + | 7.77431i | −0.362946 | + | 0.250524i | ||||
\(964\) | 41.3642 | − | 15.6874i | 1.33225 | − | 0.505257i | ||||
\(965\) | 15.5669 | + | 10.5644i | 0.501116 | + | 0.340080i | ||||
\(966\) | −0.384610 | + | 3.16755i | −0.0123746 | + | 0.101914i | ||||
\(967\) | −1.33128 | + | 10.9641i | −0.0428110 | + | 0.352581i | 0.955525 | + | 0.294911i | \(0.0952900\pi\) |
−0.998336 | + | 0.0576695i | \(0.981633\pi\) | |||||||
\(968\) | 0.236568 | + | 0.209581i | 0.00760359 | + | 0.00673619i | ||||
\(969\) | −0.333959 | + | 0.230515i | −0.0107283 | + | 0.00740521i | ||||
\(970\) | 6.22925 | + | 0.706461i | 0.200009 | + | 0.0226831i | ||||
\(971\) | 16.7496 | + | 8.79089i | 0.537521 | + | 0.282113i | 0.711559 | − | 0.702626i | \(-0.247989\pi\) |
−0.174038 | + | 0.984739i | \(0.555682\pi\) | |||||||
\(972\) | −34.6520 | − | 4.20752i | −1.11146 | − | 0.134956i | ||||
\(973\) | −4.64375 | + | 12.2446i | −0.148872 | + | 0.392543i | ||||
\(974\) | 1.75621 | − | 1.55586i | 0.0562725 | − | 0.0498531i | ||||
\(975\) | 37.6973 | + | 14.3197i | 1.20728 | + | 0.458596i | ||||
\(976\) | 13.3675 | + | 11.8425i | 0.427882 | + | 0.379070i | ||||
\(977\) | −47.2385 | + | 24.7927i | −1.51129 | + | 0.793187i | −0.997888 | − | 0.0649597i | \(-0.979308\pi\) |
−0.513404 | + | 0.858147i | \(0.671616\pi\) | |||||||
\(978\) | −7.84476 | − | 5.41485i | −0.250848 | − | 0.173148i | ||||
\(979\) | −6.69332 | + | 5.92977i | −0.213920 | + | 0.189516i | ||||
\(980\) | 17.5049 | − | 20.0764i | 0.559174 | − | 0.641317i | ||||
\(981\) | −31.3969 | + | 11.9073i | −1.00243 | + | 0.380170i | ||||
\(982\) | −6.91709 | − | 3.63037i | −0.220733 | − | 0.115850i | ||||
\(983\) | 4.82831 | − | 2.53409i | 0.153999 | − | 0.0808250i | −0.385963 | − | 0.922514i | \(-0.626131\pi\) |
0.539962 | + | 0.841689i | \(0.318439\pi\) | |||||||
\(984\) | 13.7293 | − | 3.38397i | 0.437674 | − | 0.107877i | ||||
\(985\) | −14.5817 | − | 1.65372i | −0.464612 | − | 0.0526918i | ||||
\(986\) | −0.0218933 | + | 0.0417142i | −0.000697225 | + | 0.00132845i | ||||
\(987\) | 1.05514 | + | 2.01040i | 0.0335854 | + | 0.0639916i | ||||
\(988\) | −9.21570 | − | 6.58599i | −0.293190 | − | 0.209528i | ||||
\(989\) | −9.42114 | − | 4.94460i | −0.299575 | − | 0.157229i | ||||
\(990\) | 1.18429 | − | 3.19873i | 0.0376392 | − | 0.101662i | ||||
\(991\) | −25.1445 | −0.798740 | −0.399370 | − | 0.916790i | \(-0.630771\pi\) | ||||
−0.399370 | + | 0.916790i | \(0.630771\pi\) | |||||||
\(992\) | − | 2.78693i | − | 0.0884852i | ||||||
\(993\) | −26.3396 | − | 38.1594i | −0.835861 | − | 1.21095i | ||||
\(994\) | 0.862906 | + | 0.104776i | 0.0273697 | + | 0.00332328i | ||||
\(995\) | −39.1248 | + | 27.4649i | −1.24034 | + | 0.870696i | ||||
\(996\) | 35.1381 | − | 4.26654i | 1.11339 | − | 0.135191i | ||||
\(997\) | 3.43888 | + | 2.37369i | 0.108910 | + | 0.0751754i | 0.621275 | − | 0.783593i | \(-0.286615\pi\) |
−0.512365 | + | 0.858768i | \(0.671230\pi\) | |||||||
\(998\) | 1.63277 | + | 6.62440i | 0.0516844 | + | 0.209692i | ||||
\(999\) | 4.59002 | + | 3.16826i | 0.145222 | + | 0.100239i |
(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 | 845.2.v.a.389.48 | yes | 1056 | |
5.4 | even | 2 | inner | 845.2.v.a.389.41 | ✓ | 1056 | |
169.116 | even | 26 | inner | 845.2.v.a.454.41 | yes | 1056 | |
845.454 | even | 26 | inner | 845.2.v.a.454.48 | yes | 1056 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
845.2.v.a.389.41 | ✓ | 1056 | 5.4 | even | 2 | inner | |
845.2.v.a.389.48 | yes | 1056 | 1.1 | even | 1 | trivial | |
845.2.v.a.454.41 | yes | 1056 | 169.116 | even | 26 | inner | |
845.2.v.a.454.48 | yes | 1056 | 845.454 | even | 26 | inner |