Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [125,2,Mod(6,125)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(125, base_ring=CyclotomicField(50))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("125.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 125 = 5^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 125.g (of order \(25\), degree \(20\), 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: | \(0.998130025266\) |
Analytic rank: | \(0\) |
Dimension: | \(220\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{25})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{25}]$ |
Embedding invariants
Embedding label | 71.2 | ||
Character | \(\chi\) | \(=\) | 125.71 |
Dual form | 125.2.g.a.81.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/125\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{18}{25}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.32504 | + | 1.60169i | −0.936941 | + | 1.13257i | 0.0540360 | + | 0.998539i | \(0.482791\pi\) |
−0.990977 | + | 0.134029i | \(0.957209\pi\) | |||||||
\(3\) | −2.43590 | − | 0.307726i | −1.40637 | − | 0.177666i | −0.614771 | − | 0.788706i | \(-0.710751\pi\) |
−0.791600 | + | 0.611040i | \(0.790751\pi\) | |||||||
\(4\) | −0.434938 | − | 2.28002i | −0.217469 | − | 1.14001i | ||||
\(5\) | 0.883071 | − | 2.05431i | 0.394921 | − | 0.918715i | ||||
\(6\) | 3.72054 | − | 3.49382i | 1.51891 | − | 1.42635i | ||||
\(7\) | 0.629574 | + | 0.457412i | 0.237956 | + | 0.172885i | 0.700372 | − | 0.713778i | \(-0.253017\pi\) |
−0.462416 | + | 0.886663i | \(0.653017\pi\) | |||||||
\(8\) | 0.584987 | + | 0.321599i | 0.206824 | + | 0.113703i | ||||
\(9\) | 2.93319 | + | 0.753115i | 0.977729 | + | 0.251038i | ||||
\(10\) | 2.12027 | + | 4.13644i | 0.670489 | + | 1.30806i | ||||
\(11\) | 2.06052 | − | 2.49074i | 0.621270 | − | 0.750986i | −0.362192 | − | 0.932104i | \(-0.617971\pi\) |
0.983461 | + | 0.181118i | \(0.0579715\pi\) | |||||||
\(12\) | 0.357844 | + | 5.68776i | 0.103301 | + | 1.64192i | ||||
\(13\) | 3.07406 | + | 0.789285i | 0.852592 | + | 0.218908i | 0.649604 | − | 0.760273i | \(-0.274935\pi\) |
0.202988 | + | 0.979181i | \(0.434935\pi\) | |||||||
\(14\) | −1.56684 | + | 0.402296i | −0.418756 | + | 0.107518i | ||||
\(15\) | −2.78324 | + | 4.73236i | −0.718630 | + | 1.22189i | ||||
\(16\) | 3.02605 | − | 1.19810i | 0.756512 | − | 0.299524i | ||||
\(17\) | 1.16451 | − | 6.10458i | 0.282436 | − | 1.48058i | −0.504429 | − | 0.863453i | \(-0.668297\pi\) |
0.786864 | − | 0.617126i | \(-0.211703\pi\) | |||||||
\(18\) | −5.09284 | + | 3.70016i | −1.20039 | + | 0.872137i | ||||
\(19\) | −4.38516 | + | 0.553975i | −1.00603 | + | 0.127091i | −0.611042 | − | 0.791598i | \(-0.709250\pi\) |
−0.394983 | + | 0.918688i | \(0.629250\pi\) | |||||||
\(20\) | −5.06795 | − | 1.11993i | −1.13323 | − | 0.250423i | ||||
\(21\) | −1.39282 | − | 1.30795i | −0.303939 | − | 0.285418i | ||||
\(22\) | 1.25914 | + | 6.60063i | 0.268449 | + | 1.40726i | ||||
\(23\) | −2.87542 | − | 4.53094i | −0.599567 | − | 0.944766i | −0.999600 | − | 0.0282655i | \(-0.991002\pi\) |
0.400034 | − | 0.916500i | \(-0.368998\pi\) | |||||||
\(24\) | −1.32601 | − | 0.963402i | −0.270670 | − | 0.196654i | ||||
\(25\) | −3.44037 | − | 3.62820i | −0.688074 | − | 0.725640i | ||||
\(26\) | −5.33743 | + | 3.87787i | −1.04676 | + | 0.760513i | ||||
\(27\) | −0.0646699 | − | 0.0256046i | −0.0124457 | − | 0.00492761i | ||||
\(28\) | 0.769085 | − | 1.63439i | 0.145343 | − | 0.308870i | ||||
\(29\) | 2.56070 | − | 5.44177i | 0.475510 | − | 1.01051i | −0.512864 | − | 0.858470i | \(-0.671416\pi\) |
0.988374 | − | 0.152041i | \(-0.0485845\pi\) | |||||||
\(30\) | −3.89189 | − | 10.7284i | −0.710558 | − | 1.95874i | ||||
\(31\) | 0.00238475 | − | 0.0125013i | 0.000428314 | − | 0.00224530i | −0.982072 | − | 0.188504i | \(-0.939636\pi\) |
0.982501 | + | 0.186259i | \(0.0596362\pi\) | |||||||
\(32\) | −2.50321 | + | 7.70409i | −0.442509 | + | 1.36190i | ||||
\(33\) | −5.78569 | + | 5.43313i | −1.00716 | + | 0.945786i | ||||
\(34\) | 8.23465 | + | 9.95398i | 1.41223 | + | 1.70709i | ||||
\(35\) | 1.49562 | − | 0.889412i | 0.252807 | − | 0.150338i | ||||
\(36\) | 0.441365 | − | 7.01530i | 0.0735608 | − | 1.16922i | ||||
\(37\) | 6.84347 | − | 2.70952i | 1.12506 | − | 0.445443i | 0.269424 | − | 0.963022i | \(-0.413167\pi\) |
0.855635 | + | 0.517579i | \(0.173167\pi\) | |||||||
\(38\) | 4.92320 | − | 7.75772i | 0.798648 | − | 1.25847i | ||||
\(39\) | −7.24524 | − | 2.86859i | −1.16017 | − | 0.459343i | ||||
\(40\) | 1.17725 | − | 0.917750i | 0.186140 | − | 0.145109i | ||||
\(41\) | −6.20373 | + | 9.77552i | −0.968861 | + | 1.52668i | −0.123596 | + | 0.992333i | \(0.539443\pi\) |
−0.845265 | + | 0.534347i | \(0.820557\pi\) | |||||||
\(42\) | 3.94047 | − | 0.497797i | 0.608028 | − | 0.0768118i | ||||
\(43\) | 1.76593 | + | 5.43498i | 0.269302 | + | 0.828827i | 0.990671 | + | 0.136276i | \(0.0435134\pi\) |
−0.721369 | + | 0.692551i | \(0.756487\pi\) | |||||||
\(44\) | −6.57514 | − | 3.61471i | −0.991240 | − | 0.544939i | ||||
\(45\) | 4.13734 | − | 5.36062i | 0.616759 | − | 0.799114i | ||||
\(46\) | 11.0672 | + | 1.39811i | 1.63177 | + | 0.206141i | ||||
\(47\) | −5.86131 | + | 3.22228i | −0.854959 | + | 0.470018i | −0.848024 | − | 0.529958i | \(-0.822208\pi\) |
−0.00693559 | + | 0.999976i | \(0.502208\pi\) | |||||||
\(48\) | −7.73985 | + | 1.98725i | −1.11715 | + | 0.286836i | ||||
\(49\) | −1.97598 | − | 6.08145i | −0.282283 | − | 0.868778i | ||||
\(50\) | 10.3699 | − | 0.702923i | 1.46652 | − | 0.0994084i | ||||
\(51\) | −4.71518 | + | 14.5118i | −0.660258 | + | 2.03206i | ||||
\(52\) | 0.462563 | − | 7.35223i | 0.0641459 | − | 1.01957i | ||||
\(53\) | 1.75608 | + | 1.64907i | 0.241217 | + | 0.226518i | 0.795721 | − | 0.605663i | \(-0.207092\pi\) |
−0.554504 | + | 0.832181i | \(0.687092\pi\) | |||||||
\(54\) | 0.126701 | − | 0.0696543i | 0.0172418 | − | 0.00947875i | ||||
\(55\) | −3.29716 | − | 6.43244i | −0.444589 | − | 0.867350i | ||||
\(56\) | 0.221189 | + | 0.470051i | 0.0295576 | + | 0.0628132i | ||||
\(57\) | 10.8523 | 1.43742 | ||||||||
\(58\) | 5.32302 | + | 11.3120i | 0.698946 | + | 1.48534i | ||||
\(59\) | 0.0986283 | + | 1.56765i | 0.0128403 | + | 0.204091i | 0.999216 | + | 0.0395840i | \(0.0126033\pi\) |
−0.986376 | + | 0.164507i | \(0.947397\pi\) | |||||||
\(60\) | 12.0004 | + | 4.28758i | 1.54925 | + | 0.553524i | ||||
\(61\) | 7.16121 | + | 11.2843i | 0.916899 | + | 1.44480i | 0.895516 | + | 0.445030i | \(0.146807\pi\) |
0.0213827 | + | 0.999771i | \(0.493193\pi\) | |||||||
\(62\) | 0.0168634 | + | 0.0203843i | 0.00214165 | + | 0.00258881i | ||||
\(63\) | 1.50217 | + | 1.81582i | 0.189256 | + | 0.228771i | ||||
\(64\) | −5.53494 | − | 8.72167i | −0.691868 | − | 1.09021i | ||||
\(65\) | 4.33605 | − | 5.61808i | 0.537821 | − | 0.696837i | ||||
\(66\) | −1.03595 | − | 16.4660i | −0.127517 | − | 2.02682i | ||||
\(67\) | −3.96761 | − | 8.43161i | −0.484721 | − | 1.03009i | −0.986298 | − | 0.164972i | \(-0.947247\pi\) |
0.501577 | − | 0.865113i | \(-0.332753\pi\) | |||||||
\(68\) | −14.4251 | −1.74930 | ||||||||
\(69\) | 5.60996 | + | 11.9218i | 0.675360 | + | 1.43521i | ||||
\(70\) | −0.557190 | + | 3.57403i | −0.0665970 | + | 0.427178i | ||||
\(71\) | 4.47304 | − | 2.45907i | 0.530852 | − | 0.291838i | −0.193697 | − | 0.981061i | \(-0.562048\pi\) |
0.724549 | + | 0.689223i | \(0.242048\pi\) | |||||||
\(72\) | 1.47368 | + | 1.38387i | 0.173674 | + | 0.163091i | ||||
\(73\) | 0.634423 | − | 10.0839i | 0.0742536 | − | 1.18023i | −0.767748 | − | 0.640752i | \(-0.778623\pi\) |
0.842001 | − | 0.539476i | \(-0.181377\pi\) | |||||||
\(74\) | −4.72802 | + | 14.5513i | −0.549621 | + | 1.69156i | ||||
\(75\) | 7.26393 | + | 9.89665i | 0.838766 | + | 1.14277i | ||||
\(76\) | 3.17035 | + | 9.75733i | 0.363664 | + | 1.11924i | ||||
\(77\) | 2.43654 | − | 0.625598i | 0.277670 | − | 0.0712935i | ||||
\(78\) | 14.1948 | − | 7.80366i | 1.60725 | − | 0.883591i | ||||
\(79\) | 1.81498 | + | 0.229286i | 0.204201 | + | 0.0257966i | 0.226769 | − | 0.973949i | \(-0.427184\pi\) |
−0.0225670 | + | 0.999745i | \(0.507184\pi\) | |||||||
\(80\) | 0.210953 | − | 7.27444i | 0.0235852 | − | 0.813307i | ||||
\(81\) | −7.81158 | − | 4.29445i | −0.867954 | − | 0.477162i | ||||
\(82\) | −7.43721 | − | 22.8894i | −0.821303 | − | 2.52771i | ||||
\(83\) | 3.86348 | − | 0.488071i | 0.424072 | − | 0.0535727i | 0.0895985 | − | 0.995978i | \(-0.471442\pi\) |
0.334473 | + | 0.942405i | \(0.391442\pi\) | |||||||
\(84\) | −2.37636 | + | 3.74455i | −0.259282 | + | 0.408564i | ||||
\(85\) | −11.5124 | − | 7.78305i | −1.24869 | − | 0.844190i | ||||
\(86\) | −11.0451 | − | 4.37306i | −1.19102 | − | 0.471560i | ||||
\(87\) | −7.91220 | + | 12.4676i | −0.848277 | + | 1.33667i | ||||
\(88\) | 2.00640 | − | 0.794389i | 0.213883 | − | 0.0846821i | ||||
\(89\) | 0.254721 | − | 4.04868i | 0.0270004 | − | 0.429159i | −0.961186 | − | 0.275902i | \(-0.911024\pi\) |
0.988186 | − | 0.153257i | \(-0.0489764\pi\) | |||||||
\(90\) | 3.10394 | + | 13.7298i | 0.327184 | + | 1.44724i | ||||
\(91\) | 1.57432 | + | 1.90303i | 0.165034 | + | 0.199491i | ||||
\(92\) | −9.08002 | + | 8.52670i | −0.946657 | + | 0.888970i | ||||
\(93\) | −0.00965601 | + | 0.0297182i | −0.00100128 | + | 0.00308163i | ||||
\(94\) | 2.60534 | − | 13.6576i | 0.268720 | − | 1.40868i | ||||
\(95\) | −2.73437 | + | 9.49768i | −0.280541 | + | 0.974441i | ||||
\(96\) | 8.46833 | − | 17.9961i | 0.864296 | − | 1.83672i | ||||
\(97\) | −0.777570 | + | 1.65242i | −0.0789502 | + | 0.167778i | −0.940405 | − | 0.340057i | \(-0.889554\pi\) |
0.861455 | + | 0.507834i | \(0.169554\pi\) | |||||||
\(98\) | 12.3589 | + | 4.89322i | 1.24843 | + | 0.494289i | ||||
\(99\) | 7.91970 | − | 5.75400i | 0.795960 | − | 0.578299i | ||||
\(100\) | −6.77604 | + | 9.42217i | −0.677604 | + | 0.942217i | ||||
\(101\) | −0.242135 | − | 0.175921i | −0.0240933 | − | 0.0175048i | 0.575673 | − | 0.817680i | \(-0.304740\pi\) |
−0.599767 | + | 0.800175i | \(0.704740\pi\) | |||||||
\(102\) | −16.9957 | − | 26.7810i | −1.68283 | − | 2.65171i | ||||
\(103\) | 2.99809 | + | 15.7165i | 0.295411 | + | 1.54860i | 0.752148 | + | 0.658995i | \(0.229018\pi\) |
−0.456737 | + | 0.889602i | \(0.650982\pi\) | |||||||
\(104\) | 1.54445 | + | 1.45034i | 0.151446 | + | 0.142217i | ||||
\(105\) | −3.91689 | + | 1.70628i | −0.382250 | + | 0.166516i | ||||
\(106\) | −4.96818 | + | 0.627627i | −0.482552 | + | 0.0609605i | ||||
\(107\) | 15.0619 | − | 10.9431i | 1.45609 | − | 1.05791i | 0.471726 | − | 0.881745i | \(-0.343631\pi\) |
0.984361 | − | 0.176163i | \(-0.0563687\pi\) | |||||||
\(108\) | −0.0302518 | + | 0.158585i | −0.00291098 | + | 0.0152599i | ||||
\(109\) | −4.84439 | + | 1.91803i | −0.464008 | + | 0.183714i | −0.588484 | − | 0.808509i | \(-0.700275\pi\) |
0.124476 | + | 0.992223i | \(0.460275\pi\) | |||||||
\(110\) | 14.6717 | + | 3.24217i | 1.39889 | + | 0.309129i | ||||
\(111\) | −17.5038 | + | 4.49422i | −1.66139 | + | 0.426573i | ||||
\(112\) | 2.45314 | + | 0.629860i | 0.231800 | + | 0.0595162i | ||||
\(113\) | 0.619002 | + | 9.83875i | 0.0582308 | + | 0.925552i | 0.913364 | + | 0.407144i | \(0.133475\pi\) |
−0.855133 | + | 0.518408i | \(0.826525\pi\) | |||||||
\(114\) | −14.3797 | + | 17.3821i | −1.34678 | + | 1.62798i | ||||
\(115\) | −11.8471 | + | 1.90586i | −1.10475 | + | 0.177723i | ||||
\(116\) | −13.5211 | − | 3.47163i | −1.25540 | − | 0.322333i | ||||
\(117\) | 8.42238 | + | 4.63024i | 0.778649 | + | 0.428066i | ||||
\(118\) | −2.64158 | − | 1.91922i | −0.243177 | − | 0.176679i | ||||
\(119\) | 3.52546 | − | 3.31062i | 0.323178 | − | 0.303484i | ||||
\(120\) | −3.15008 | + | 1.87328i | −0.287562 | + | 0.171006i | ||||
\(121\) | 0.103150 | + | 0.540733i | 0.00937731 | + | 0.0491576i | ||||
\(122\) | −27.5628 | − | 3.48199i | −2.49542 | − | 0.315244i | ||||
\(123\) | 18.1199 | − | 21.9032i | 1.63382 | − | 1.97494i | ||||
\(124\) | −0.0295405 | −0.00265282 | ||||||||
\(125\) | −10.4915 | + | 3.86363i | −0.938392 | + | 0.345573i | ||||
\(126\) | −4.89881 | −0.436421 | ||||||||
\(127\) | −4.40137 | + | 5.32035i | −0.390559 | + | 0.472104i | −0.928744 | − | 0.370722i | \(-0.879110\pi\) |
0.538185 | + | 0.842827i | \(0.319110\pi\) | |||||||
\(128\) | 5.23007 | + | 0.660711i | 0.462277 | + | 0.0583992i | ||||
\(129\) | −2.62916 | − | 13.7825i | −0.231484 | − | 1.21348i | ||||
\(130\) | 3.25302 | + | 14.3892i | 0.285308 | + | 1.26201i | ||||
\(131\) | −4.45323 | + | 4.18186i | −0.389080 | + | 0.365371i | −0.854260 | − | 0.519845i | \(-0.825990\pi\) |
0.465180 | + | 0.885216i | \(0.345990\pi\) | |||||||
\(132\) | 14.9041 | + | 10.8284i | 1.29723 | + | 0.942495i | ||||
\(133\) | −3.01418 | − | 1.65706i | −0.261362 | − | 0.143685i | ||||
\(134\) | 18.7621 | + | 4.81728i | 1.62080 | + | 0.416150i | ||||
\(135\) | −0.109708 | + | 0.110241i | −0.00944216 | + | 0.00948806i | ||||
\(136\) | 2.64446 | − | 3.19660i | 0.226760 | − | 0.274106i | ||||
\(137\) | 0.846660 | + | 13.4573i | 0.0723351 | + | 1.14973i | 0.852002 | + | 0.523539i | \(0.175388\pi\) |
−0.779667 | + | 0.626195i | \(0.784612\pi\) | |||||||
\(138\) | −26.5284 | − | 6.81134i | −2.25825 | − | 0.579820i | ||||
\(139\) | 5.66146 | − | 1.45362i | 0.480199 | − | 0.123294i | −0.000828731 | − | 1.00000i | \(-0.500264\pi\) |
0.481027 | + | 0.876706i | \(0.340264\pi\) | |||||||
\(140\) | −2.67838 | − | 3.02322i | −0.226365 | − | 0.255509i | ||||
\(141\) | 15.2692 | − | 6.04549i | 1.28590 | − | 0.509122i | ||||
\(142\) | −1.98825 | + | 10.4228i | −0.166850 | + | 0.874661i | ||||
\(143\) | 8.30007 | − | 6.03035i | 0.694086 | − | 0.504283i | ||||
\(144\) | 9.77827 | − | 1.23528i | 0.814856 | − | 0.102940i | ||||
\(145\) | −8.91779 | − | 10.0659i | −0.740582 | − | 0.835930i | ||||
\(146\) | 15.3106 | + | 14.3776i | 1.26712 | + | 1.18990i | ||||
\(147\) | 2.94188 | + | 15.4219i | 0.242642 | + | 1.27198i | ||||
\(148\) | −9.15426 | − | 14.4248i | −0.752475 | − | 1.18571i | ||||
\(149\) | 14.9590 | + | 10.8683i | 1.22549 | + | 0.890370i | 0.996544 | − | 0.0830697i | \(-0.0264724\pi\) |
0.228945 | + | 0.973439i | \(0.426472\pi\) | |||||||
\(150\) | −25.4763 | − | 1.47883i | −2.08013 | − | 0.120746i | ||||
\(151\) | 16.0977 | − | 11.6956i | 1.31001 | − | 0.951778i | 0.310010 | − | 0.950733i | \(-0.399668\pi\) |
0.999999 | − | 0.00104421i | \(-0.000332383\pi\) | |||||||
\(152\) | −2.74342 | − | 1.08620i | −0.222521 | − | 0.0881023i | ||||
\(153\) | 8.01318 | − | 17.0289i | 0.647828 | − | 1.37670i | ||||
\(154\) | −2.22649 | + | 4.73153i | −0.179416 | + | 0.381278i | ||||
\(155\) | −0.0235757 | − | 0.0159386i | −0.00189364 | − | 0.00128022i | ||||
\(156\) | −3.38923 | + | 17.7670i | −0.271356 | + | 1.42250i | ||||
\(157\) | −0.416703 | + | 1.28248i | −0.0332566 | + | 0.102353i | −0.966307 | − | 0.257393i | \(-0.917137\pi\) |
0.933050 | + | 0.359746i | \(0.117137\pi\) | |||||||
\(158\) | −2.77216 | + | 2.60323i | −0.220541 | + | 0.207102i | ||||
\(159\) | −3.77019 | − | 4.55738i | −0.298996 | − | 0.361424i | ||||
\(160\) | 13.6161 | + | 11.9456i | 1.07644 | + | 0.944385i | ||||
\(161\) | 0.262216 | − | 4.16781i | 0.0206656 | − | 0.328470i | ||||
\(162\) | 17.2290 | − | 6.82145i | 1.35364 | − | 0.535944i | ||||
\(163\) | −2.34847 | + | 3.70060i | −0.183947 | + | 0.289854i | −0.923770 | − | 0.382947i | \(-0.874909\pi\) |
0.739823 | + | 0.672801i | \(0.234909\pi\) | |||||||
\(164\) | 24.9867 | + | 9.89292i | 1.95113 | + | 0.772507i | ||||
\(165\) | 6.05215 | + | 16.6834i | 0.471159 | + | 1.29880i | ||||
\(166\) | −4.33750 | + | 6.83481i | −0.336656 | + | 0.530484i | ||||
\(167\) | −5.54292 | + | 0.700234i | −0.428924 | + | 0.0541857i | −0.336832 | − | 0.941565i | \(-0.609355\pi\) |
−0.0920922 | + | 0.995750i | \(0.529355\pi\) | |||||||
\(168\) | −0.394149 | − | 1.21306i | −0.0304092 | − | 0.0935900i | ||||
\(169\) | −2.56510 | − | 1.41017i | −0.197315 | − | 0.108475i | ||||
\(170\) | 27.7203 | − | 8.12644i | 2.12605 | − | 0.623270i | ||||
\(171\) | −13.2797 | − | 1.67762i | −1.01553 | − | 0.128291i | ||||
\(172\) | 11.6238 | − | 6.39025i | 0.886308 | − | 0.487252i | ||||
\(173\) | −13.9786 | + | 3.58908i | −1.06277 | + | 0.272873i | −0.739308 | − | 0.673368i | \(-0.764847\pi\) |
−0.323463 | + | 0.946241i | \(0.604847\pi\) | |||||||
\(174\) | −9.48537 | − | 29.1930i | −0.719084 | − | 2.21311i | ||||
\(175\) | −0.506385 | − | 3.85789i | −0.0382791 | − | 0.291629i | ||||
\(176\) | 3.25108 | − | 10.0058i | 0.245059 | − | 0.754215i | ||||
\(177\) | 0.242159 | − | 3.84900i | 0.0182018 | − | 0.289309i | ||||
\(178\) | 6.14722 | + | 5.77263i | 0.460754 | + | 0.432677i | ||||
\(179\) | −1.34083 | + | 0.737128i | −0.100218 | + | 0.0550956i | −0.531075 | − | 0.847325i | \(-0.678212\pi\) |
0.430856 | + | 0.902421i | \(0.358212\pi\) | |||||||
\(180\) | −14.0218 | − | 7.10170i | −1.04513 | − | 0.529330i | ||||
\(181\) | −1.67103 | − | 3.55112i | −0.124207 | − | 0.263952i | 0.833047 | − | 0.553202i | \(-0.186594\pi\) |
−0.957254 | + | 0.289250i | \(0.906594\pi\) | |||||||
\(182\) | −5.13409 | −0.380564 | ||||||||
\(183\) | −13.9716 | − | 29.6911i | −1.03281 | − | 2.19483i | ||||
\(184\) | −0.224937 | − | 3.57527i | −0.0165826 | − | 0.263573i | ||||
\(185\) | 0.477074 | − | 16.4513i | 0.0350752 | − | 1.20952i | ||||
\(186\) | −0.0348048 | − | 0.0548436i | −0.00255201 | − | 0.00402133i | ||||
\(187\) | −12.8054 | − | 15.4791i | −0.936426 | − | 1.13194i | ||||
\(188\) | 9.89618 | + | 11.9624i | 0.721753 | + | 0.872450i | ||||
\(189\) | −0.0290026 | − | 0.0457008i | −0.00210963 | − | 0.00332424i | ||||
\(190\) | −11.5892 | − | 16.9644i | −0.840770 | − | 1.23073i | ||||
\(191\) | −1.05847 | − | 16.8239i | −0.0765880 | − | 1.21733i | −0.829232 | − | 0.558904i | \(-0.811222\pi\) |
0.752644 | − | 0.658428i | \(-0.228778\pi\) | |||||||
\(192\) | 10.7987 | + | 22.9484i | 0.779329 | + | 1.65616i | ||||
\(193\) | −6.29614 | −0.453206 | −0.226603 | − | 0.973987i | \(-0.572762\pi\) | ||||
−0.226603 | + | 0.973987i | \(0.572762\pi\) | |||||||
\(194\) | −1.61636 | − | 3.43494i | −0.116048 | − | 0.246614i | ||||
\(195\) | −12.2910 | + | 12.3508i | −0.880180 | + | 0.884459i | ||||
\(196\) | −13.0064 | + | 7.15034i | −0.929030 | + | 0.510738i | ||||
\(197\) | 7.66463 | + | 7.19757i | 0.546082 | + | 0.512805i | 0.907756 | − | 0.419499i | \(-0.137794\pi\) |
−0.361673 | + | 0.932305i | \(0.617794\pi\) | |||||||
\(198\) | −1.27775 | + | 20.3092i | −0.0908054 | + | 1.44331i | ||||
\(199\) | 2.95165 | − | 9.08423i | 0.209237 | − | 0.643964i | −0.790276 | − | 0.612751i | \(-0.790063\pi\) |
0.999513 | − | 0.0312133i | \(-0.00993711\pi\) | |||||||
\(200\) | −0.845746 | − | 3.22887i | −0.0598033 | − | 0.228316i | ||||
\(201\) | 7.07010 | + | 21.7595i | 0.498687 | + | 1.53480i | ||||
\(202\) | 0.602610 | − | 0.154724i | 0.0423995 | − | 0.0108863i | ||||
\(203\) | 4.10128 | − | 2.25470i | 0.287853 | − | 0.158249i | ||||
\(204\) | 35.1381 | + | 4.43898i | 2.46016 | + | 0.310791i | ||||
\(205\) | 14.6036 | + | 21.3769i | 1.01996 | + | 1.49303i | ||||
\(206\) | −29.1456 | − | 16.0229i | −2.03067 | − | 1.11637i | ||||
\(207\) | −5.02183 | − | 15.4556i | −0.349042 | − | 1.07424i | ||||
\(208\) | 10.2479 | − | 1.29461i | 0.710564 | − | 0.0897651i | ||||
\(209\) | −7.65590 | + | 12.0638i | −0.529570 | + | 0.834468i | ||||
\(210\) | 2.45709 | − | 8.53454i | 0.169555 | − | 0.588939i | ||||
\(211\) | 6.24127 | + | 2.47110i | 0.429667 | + | 0.170117i | 0.572996 | − | 0.819558i | \(-0.305781\pi\) |
−0.143329 | + | 0.989675i | \(0.545781\pi\) | |||||||
\(212\) | 2.99614 | − | 4.72116i | 0.205776 | − | 0.324250i | ||||
\(213\) | −11.6526 | + | 4.61360i | −0.798424 | + | 0.316118i | ||||
\(214\) | −2.43005 | + | 38.6245i | −0.166115 | + | 2.64032i | ||||
\(215\) | 12.7246 | + | 1.17170i | 0.867809 | + | 0.0799095i | ||||
\(216\) | −0.0295966 | − | 0.0357762i | −0.00201380 | − | 0.00243426i | ||||
\(217\) | 0.00721963 | − | 0.00677968i | 0.000490100 | − | 0.000460235i | ||||
\(218\) | 3.34689 | − | 10.3007i | 0.226680 | − | 0.697650i | ||||
\(219\) | −4.64847 | + | 24.3681i | −0.314114 | + | 1.64665i | ||||
\(220\) | −13.2321 | + | 10.3153i | −0.892105 | + | 0.695459i | ||||
\(221\) | 8.39804 | − | 17.8467i | 0.564913 | − | 1.20050i | ||||
\(222\) | 15.9948 | − | 33.9908i | 1.07350 | − | 2.28131i | ||||
\(223\) | −5.10599 | − | 2.02160i | −0.341922 | − | 0.135377i | 0.190887 | − | 0.981612i | \(-0.438864\pi\) |
−0.532809 | + | 0.846235i | \(0.678864\pi\) | |||||||
\(224\) | −5.09990 | + | 3.70529i | −0.340751 | + | 0.247570i | ||||
\(225\) | −7.35881 | − | 13.2332i | −0.490587 | − | 0.882213i | ||||
\(226\) | −16.5789 | − | 12.0452i | −1.10281 | − | 0.801238i | ||||
\(227\) | 9.66561 | + | 15.2306i | 0.641529 | + | 1.01089i | 0.997090 | + | 0.0762352i | \(0.0242900\pi\) |
−0.355561 | + | 0.934653i | \(0.615710\pi\) | |||||||
\(228\) | −4.72008 | − | 24.7435i | −0.312595 | − | 1.63868i | ||||
\(229\) | 11.3947 | + | 10.7003i | 0.752984 | + | 0.707099i | 0.962672 | − | 0.270669i | \(-0.0872450\pi\) |
−0.209688 | + | 0.977768i | \(0.567245\pi\) | |||||||
\(230\) | 12.6453 | − | 21.5008i | 0.833805 | − | 1.41772i | ||||
\(231\) | −6.12770 | + | 0.774108i | −0.403173 | + | 0.0509326i | ||||
\(232\) | 3.24805 | − | 2.35984i | 0.213245 | − | 0.154931i | ||||
\(233\) | −3.53056 | + | 18.5079i | −0.231295 | + | 1.21249i | 0.657240 | + | 0.753681i | \(0.271724\pi\) |
−0.888535 | + | 0.458809i | \(0.848276\pi\) | |||||||
\(234\) | −18.5762 | + | 7.35483i | −1.21436 | + | 0.480800i | ||||
\(235\) | 1.44361 | + | 14.8864i | 0.0941708 | + | 0.971084i | ||||
\(236\) | 3.53139 | − | 0.906706i | 0.229874 | − | 0.0590215i | ||||
\(237\) | −4.35057 | − | 1.11704i | −0.282600 | − | 0.0725593i | ||||
\(238\) | 0.631247 | + | 10.0334i | 0.0409177 | + | 0.650368i | ||||
\(239\) | −4.44545 | + | 5.37363i | −0.287552 | + | 0.347591i | −0.894433 | − | 0.447202i | \(-0.852421\pi\) |
0.606881 | + | 0.794793i | \(0.292421\pi\) | |||||||
\(240\) | −2.75240 | + | 17.6549i | −0.177666 | + | 1.13962i | ||||
\(241\) | 18.6366 | + | 4.78508i | 1.20049 | + | 0.308234i | 0.795424 | − | 0.606053i | \(-0.207248\pi\) |
0.405068 | + | 0.914287i | \(0.367248\pi\) | |||||||
\(242\) | −1.00277 | − | 0.551275i | −0.0644603 | − | 0.0354373i | ||||
\(243\) | 17.8756 | + | 12.9874i | 1.14672 | + | 0.833140i | ||||
\(244\) | 22.6137 | − | 21.2357i | 1.44769 | − | 1.35947i | ||||
\(245\) | −14.2381 | − | 1.31107i | −0.909639 | − | 0.0837612i | ||||
\(246\) | 11.0727 | + | 58.0450i | 0.705968 | + | 3.70081i | ||||
\(247\) | −13.9175 | − | 1.75819i | −0.885550 | − | 0.111871i | ||||
\(248\) | 0.00541547 | − | 0.00654617i | 0.000343882 | − | 0.000415682i | ||||
\(249\) | −9.56126 | −0.605920 | ||||||||
\(250\) | 7.71331 | − | 21.9237i | 0.487833 | − | 1.38657i | ||||
\(251\) | −9.68217 | −0.611133 | −0.305567 | − | 0.952171i | \(-0.598846\pi\) | ||||
−0.305567 | + | 0.952171i | \(0.598846\pi\) | |||||||
\(252\) | 3.48675 | − | 4.21476i | 0.219645 | − | 0.265505i | ||||
\(253\) | −17.2102 | − | 2.17416i | −1.08200 | − | 0.136688i | ||||
\(254\) | −2.68958 | − | 14.0993i | −0.168760 | − | 0.884668i | ||||
\(255\) | 25.6480 | + | 22.5014i | 1.60614 | + | 1.40909i | ||||
\(256\) | 7.07181 | − | 6.64087i | 0.441988 | − | 0.415054i | ||||
\(257\) | −0.998633 | − | 0.725549i | −0.0622930 | − | 0.0452585i | 0.556203 | − | 0.831046i | \(-0.312258\pi\) |
−0.618496 | + | 0.785788i | \(0.712258\pi\) | |||||||
\(258\) | 25.5591 | + | 14.0512i | 1.59124 | + | 0.874792i | ||||
\(259\) | 5.54784 | + | 1.42444i | 0.344726 | + | 0.0885105i | ||||
\(260\) | −14.6953 | − | 7.44278i | −0.911362 | − | 0.461582i | ||||
\(261\) | 11.6093 | − | 14.0332i | 0.718597 | − | 0.868634i | ||||
\(262\) | −0.797368 | − | 12.6738i | −0.0492616 | − | 0.782990i | ||||
\(263\) | 9.86257 | + | 2.53228i | 0.608152 | + | 0.156147i | 0.540193 | − | 0.841541i | \(-0.318351\pi\) |
0.0679590 | + | 0.997688i | \(0.478351\pi\) | |||||||
\(264\) | −5.13185 | + | 1.31763i | −0.315843 | + | 0.0810948i | ||||
\(265\) | 4.93845 | − | 2.15129i | 0.303367 | − | 0.132153i | ||||
\(266\) | 6.64799 | − | 2.63213i | 0.407614 | − | 0.161386i | ||||
\(267\) | −1.86636 | + | 9.78381i | −0.114219 | + | 0.598759i | ||||
\(268\) | −17.4986 | + | 12.7135i | −1.06890 | + | 0.776599i | ||||
\(269\) | −31.8523 | + | 4.02388i | −1.94207 | + | 0.245340i | −0.996734 | − | 0.0807606i | \(-0.974265\pi\) |
−0.945335 | + | 0.326101i | \(0.894265\pi\) | |||||||
\(270\) | −0.0312058 | − | 0.321792i | −0.00189912 | − | 0.0195836i | ||||
\(271\) | −5.44124 | − | 5.10966i | −0.330532 | − | 0.310390i | 0.501457 | − | 0.865183i | \(-0.332798\pi\) |
−0.831989 | + | 0.554793i | \(0.812798\pi\) | |||||||
\(272\) | −3.79001 | − | 19.8680i | −0.229803 | − | 1.20467i | ||||
\(273\) | −3.24928 | − | 5.12005i | −0.196656 | − | 0.309880i | ||||
\(274\) | −22.6763 | − | 16.4753i | −1.36992 | − | 0.995308i | ||||
\(275\) | −16.1259 | + | 1.09309i | −0.972425 | + | 0.0659160i | ||||
\(276\) | 24.7420 | − | 17.9761i | 1.48929 | − | 1.08203i | ||||
\(277\) | 0.978065 | + | 0.387243i | 0.0587662 | + | 0.0232672i | 0.397324 | − | 0.917678i | \(-0.369939\pi\) |
−0.338558 | + | 0.940946i | \(0.609939\pi\) | |||||||
\(278\) | −5.17339 | + | 10.9940i | −0.310279 | + | 0.659377i | ||||
\(279\) | 0.0164098 | − | 0.0348727i | 0.000982432 | − | 0.00208777i | ||||
\(280\) | 1.16096 | − | 0.0393027i | 0.0693803 | − | 0.00234878i | ||||
\(281\) | 0.975796 | − | 5.11530i | 0.0582111 | − | 0.305153i | −0.941260 | − | 0.337684i | \(-0.890357\pi\) |
0.999471 | + | 0.0325303i | \(0.0103566\pi\) | |||||||
\(282\) | −10.5492 | + | 32.4670i | −0.628194 | + | 1.93338i | ||||
\(283\) | 22.9620 | − | 21.5628i | 1.36495 | − | 1.28177i | 0.441914 | − | 0.897058i | \(-0.354300\pi\) |
0.923035 | − | 0.384715i | \(-0.125700\pi\) | |||||||
\(284\) | −7.55224 | − | 9.12908i | −0.448143 | − | 0.541712i | ||||
\(285\) | 9.58336 | − | 22.2940i | 0.567669 | − | 1.32058i | ||||
\(286\) | −1.33911 | + | 21.2846i | −0.0791834 | + | 1.25858i | ||||
\(287\) | −8.37715 | + | 3.31675i | −0.494487 | + | 0.195781i | ||||
\(288\) | −13.1445 | + | 20.7123i | −0.774544 | + | 1.22049i | ||||
\(289\) | −20.1037 | − | 7.95960i | −1.18257 | − | 0.468212i | ||||
\(290\) | 27.9389 | − | 0.945836i | 1.64063 | − | 0.0555414i | ||||
\(291\) | 2.40258 | − | 3.78586i | 0.140842 | − | 0.221931i | ||||
\(292\) | −23.2674 | + | 2.93936i | −1.36162 | + | 0.172013i | ||||
\(293\) | −0.700027 | − | 2.15446i | −0.0408960 | − | 0.125865i | 0.928524 | − | 0.371272i | \(-0.121078\pi\) |
−0.969420 | + | 0.245407i | \(0.921078\pi\) | |||||||
\(294\) | −28.5992 | − | 15.7226i | −1.66794 | − | 0.916958i | ||||
\(295\) | 3.30754 | + | 1.18173i | 0.192572 | + | 0.0688032i | ||||
\(296\) | 4.87472 | + | 0.615821i | 0.283338 | + | 0.0357939i | ||||
\(297\) | −0.197028 | + | 0.108317i | −0.0114327 | + | 0.00628519i | ||||
\(298\) | −37.2289 | + | 9.55877i | −2.15662 | + | 0.553725i | ||||
\(299\) | −5.26302 | − | 16.1979i | −0.304368 | − | 0.936750i | ||||
\(300\) | 19.4052 | − | 20.8663i | 1.12036 | − | 1.20472i | ||||
\(301\) | −1.37424 | + | 4.22948i | −0.0792100 | + | 0.243783i | ||||
\(302\) | −2.59716 | + | 41.2806i | −0.149450 | + | 2.37543i | ||||
\(303\) | 0.535682 | + | 0.503039i | 0.0307741 | + | 0.0288988i | ||||
\(304\) | −12.6060 | + | 6.93020i | −0.723003 | + | 0.397474i | ||||
\(305\) | 29.5052 | − | 4.74653i | 1.68946 | − | 0.271786i | ||||
\(306\) | 16.6573 | + | 35.3985i | 0.952234 | + | 2.02360i | ||||
\(307\) | −18.9044 | −1.07893 | −0.539466 | − | 0.842008i | \(-0.681374\pi\) | ||||
−0.539466 | + | 0.842008i | \(0.681374\pi\) | |||||||
\(308\) | −2.48612 | − | 5.28328i | −0.141660 | − | 0.301043i | ||||
\(309\) | −2.46667 | − | 39.2066i | −0.140324 | − | 2.23038i | ||||
\(310\) | 0.0567672 | − | 0.0166418i | 0.00322416 | − | 0.000945190i | ||||
\(311\) | −7.84921 | − | 12.3684i | −0.445088 | − | 0.701346i | 0.545517 | − | 0.838100i | \(-0.316333\pi\) |
−0.990605 | + | 0.136753i | \(0.956333\pi\) | |||||||
\(312\) | −3.31584 | − | 4.00816i | −0.187722 | − | 0.226917i | ||||
\(313\) | 5.44984 | + | 6.58773i | 0.308043 | + | 0.372360i | 0.901703 | − | 0.432356i | \(-0.142318\pi\) |
−0.593660 | + | 0.804716i | \(0.702318\pi\) | |||||||
\(314\) | −1.50199 | − | 2.36676i | −0.0847624 | − | 0.133564i | ||||
\(315\) | 5.05677 | − | 1.48244i | 0.284917 | − | 0.0835258i | ||||
\(316\) | −0.266628 | − | 4.23793i | −0.0149990 | − | 0.238402i | ||||
\(317\) | 2.63436 | + | 5.59830i | 0.147960 | + | 0.314432i | 0.965044 | − | 0.262087i | \(-0.0844108\pi\) |
−0.817084 | + | 0.576519i | \(0.804411\pi\) | |||||||
\(318\) | 12.2952 | 0.689478 | ||||||||
\(319\) | −8.27765 | − | 17.5909i | −0.463459 | − | 0.984901i | ||||
\(320\) | −22.8048 | + | 3.66863i | −1.27482 | + | 0.205082i | ||||
\(321\) | −40.0568 | + | 22.0214i | −2.23575 | + | 1.22911i | ||||
\(322\) | 6.32811 | + | 5.94249i | 0.352652 | + | 0.331162i | ||||
\(323\) | −1.72479 | + | 27.4147i | −0.0959697 | + | 1.52540i | ||||
\(324\) | −6.39391 | + | 19.6784i | −0.355217 | + | 1.09325i | ||||
\(325\) | −7.71223 | − | 13.8688i | −0.427798 | − | 0.769300i | ||||
\(326\) | −2.81542 | − | 8.66496i | −0.155932 | − | 0.479908i | ||||
\(327\) | 12.3907 | − | 3.18139i | 0.685207 | − | 0.175931i | ||||
\(328\) | −6.77291 | + | 3.72344i | −0.373971 | + | 0.205592i | ||||
\(329\) | −5.16403 | − | 0.652369i | −0.284702 | − | 0.0359663i | ||||
\(330\) | −34.7410 | − | 12.4125i | −1.91243 | − | 0.683284i | ||||
\(331\) | 16.2091 | + | 8.91105i | 0.890935 | + | 0.489796i | 0.860331 | − | 0.509736i | \(-0.170257\pi\) |
0.0306039 | + | 0.999532i | \(0.490257\pi\) | |||||||
\(332\) | −2.79319 | − | 8.59654i | −0.153296 | − | 0.471796i | ||||
\(333\) | 22.1138 | − | 2.79362i | 1.21183 | − | 0.153089i | ||||
\(334\) | 6.22301 | − | 9.80589i | 0.340508 | − | 0.536555i | ||||
\(335\) | −20.8248 | + | 0.704997i | −1.13778 | + | 0.0385181i | ||||
\(336\) | −5.78180 | − | 2.28918i | −0.315423 | − | 0.124885i | ||||
\(337\) | 7.00020 | − | 11.0306i | 0.381325 | − | 0.600873i | −0.598405 | − | 0.801194i | \(-0.704199\pi\) |
0.979730 | + | 0.200321i | \(0.0641986\pi\) | |||||||
\(338\) | 5.65751 | − | 2.23997i | 0.307728 | − | 0.121838i | ||||
\(339\) | 1.51981 | − | 24.1568i | 0.0825450 | − | 1.31201i | ||||
\(340\) | −12.7384 | + | 29.6336i | −0.690835 | + | 1.60711i | ||||
\(341\) | −0.0262237 | − | 0.0316990i | −0.00142009 | − | 0.00171660i | ||||
\(342\) | 20.2831 | − | 19.0471i | 1.09679 | − | 1.02995i | ||||
\(343\) | 3.22103 | − | 9.91331i | 0.173919 | − | 0.535269i | ||||
\(344\) | −0.714840 | + | 3.74732i | −0.0385416 | + | 0.202042i | ||||
\(345\) | 29.4450 | − | 0.996823i | 1.58527 | − | 0.0536671i | ||||
\(346\) | 12.7735 | − | 27.1450i | 0.686706 | − | 1.45933i | ||||
\(347\) | −0.670629 | + | 1.42516i | −0.0360013 | + | 0.0765066i | −0.922019 | − | 0.387145i | \(-0.873461\pi\) |
0.886017 | + | 0.463652i | \(0.153461\pi\) | |||||||
\(348\) | 31.8678 | + | 12.6174i | 1.70829 | + | 0.676361i | ||||
\(349\) | 7.85282 | − | 5.70541i | 0.420352 | − | 0.305404i | −0.357427 | − | 0.933941i | \(-0.616346\pi\) |
0.777779 | + | 0.628537i | \(0.216346\pi\) | |||||||
\(350\) | 6.85013 | + | 4.30076i | 0.366155 | + | 0.229886i | ||||
\(351\) | −0.178590 | − | 0.129753i | −0.00953243 | − | 0.00692572i | ||||
\(352\) | 14.0310 | + | 22.1093i | 0.747853 | + | 1.17843i | ||||
\(353\) | 5.97101 | + | 31.3011i | 0.317805 | + | 1.66599i | 0.679486 | + | 0.733689i | \(0.262203\pi\) |
−0.361681 | + | 0.932302i | \(0.617797\pi\) | |||||||
\(354\) | 5.84405 | + | 5.48792i | 0.310608 | + | 0.291680i | ||||
\(355\) | −1.10169 | − | 11.3605i | −0.0584715 | − | 0.602954i | ||||
\(356\) | −9.34187 | + | 1.18015i | −0.495118 | + | 0.0625480i | ||||
\(357\) | −9.60644 | + | 6.97949i | −0.508427 | + | 0.369394i | ||||
\(358\) | 0.595996 | − | 3.12432i | 0.0314994 | − | 0.165126i | ||||
\(359\) | 14.9378 | − | 5.91429i | 0.788386 | − | 0.312144i | 0.0607906 | − | 0.998151i | \(-0.480638\pi\) |
0.727596 | + | 0.686006i | \(0.240638\pi\) | |||||||
\(360\) | 4.14427 | − | 1.80533i | 0.218422 | − | 0.0951491i | ||||
\(361\) | 0.519683 | − | 0.133432i | 0.0273517 | − | 0.00702273i | ||||
\(362\) | 7.90197 | + | 2.02888i | 0.415318 | + | 0.106636i | ||||
\(363\) | −0.0848667 | − | 1.34892i | −0.00445434 | − | 0.0707998i | ||||
\(364\) | 3.65421 | − | 4.41719i | 0.191533 | − | 0.231523i | ||||
\(365\) | −20.1551 | − | 10.2081i | −1.05497 | − | 0.534315i | ||||
\(366\) | 66.0688 | + | 16.9636i | 3.45347 | + | 0.886700i | ||||
\(367\) | 5.34033 | + | 2.93587i | 0.278763 | + | 0.153251i | 0.615002 | − | 0.788525i | \(-0.289155\pi\) |
−0.336239 | + | 0.941777i | \(0.609155\pi\) | |||||||
\(368\) | −14.1297 | − | 10.2658i | −0.736559 | − | 0.535142i | ||||
\(369\) | −25.5588 | + | 24.0013i | −1.33054 | + | 1.24946i | ||||
\(370\) | 25.7178 | + | 22.5627i | 1.33700 | + | 1.17298i | ||||
\(371\) | 0.351279 | + | 1.84147i | 0.0182375 | + | 0.0956042i | ||||
\(372\) | 0.0719579 | + | 0.00909039i | 0.00373084 | + | 0.000471315i | ||||
\(373\) | 15.2917 | − | 18.4846i | 0.791777 | − | 0.957094i | −0.208002 | − | 0.978128i | \(-0.566696\pi\) |
0.999779 | + | 0.0210347i | \(0.00669604\pi\) | |||||||
\(374\) | 41.7604 | 2.15938 | ||||||||
\(375\) | 26.7453 | − | 6.18291i | 1.38112 | − | 0.319284i | ||||
\(376\) | −4.46507 | −0.230269 | ||||||||
\(377\) | 12.1669 | − | 14.7072i | 0.626625 | − | 0.757460i | ||||
\(378\) | 0.111628 | + | 0.0141019i | 0.00574153 | + | 0.000725324i | ||||
\(379\) | 5.07836 | + | 26.6217i | 0.260858 | + | 1.36746i | 0.835694 | + | 0.549196i | \(0.185066\pi\) |
−0.574836 | + | 0.818269i | \(0.694934\pi\) | |||||||
\(380\) | 22.8442 | + | 2.10354i | 1.17188 | + | 0.107909i | ||||
\(381\) | 12.3585 | − | 11.6054i | 0.633147 | − | 0.594565i | ||||
\(382\) | 28.3492 | + | 20.5969i | 1.45047 | + | 1.05383i | ||||
\(383\) | −17.4647 | − | 9.60131i | −0.892405 | − | 0.490604i | −0.0315779 | − | 0.999501i | \(-0.510053\pi\) |
−0.860827 | + | 0.508897i | \(0.830053\pi\) | |||||||
\(384\) | −12.5366 | − | 3.21886i | −0.639757 | − | 0.164262i | ||||
\(385\) | 0.866468 | − | 5.55786i | 0.0441593 | − | 0.283255i | ||||
\(386\) | 8.34261 | − | 10.0845i | 0.424628 | − | 0.513287i | ||||
\(387\) | 1.08665 | + | 17.2718i | 0.0552374 | + | 0.877974i | ||||
\(388\) | 4.10575 | + | 1.05418i | 0.208438 | + | 0.0535178i | ||||
\(389\) | 28.8080 | − | 7.39663i | 1.46062 | − | 0.375024i | 0.566953 | − | 0.823750i | \(-0.308122\pi\) |
0.893669 | + | 0.448726i | \(0.148122\pi\) | |||||||
\(390\) | −3.49611 | − | 36.0517i | −0.177032 | − | 1.82555i | ||||
\(391\) | −31.0080 | + | 12.2769i | −1.56814 | + | 0.620870i | ||||
\(392\) | 0.799866 | − | 4.19304i | 0.0403993 | − | 0.211781i | ||||
\(393\) | 12.1345 | − | 8.81623i | 0.612105 | − | 0.444720i | ||||
\(394\) | −21.6842 | + | 2.73935i | −1.09243 | + | 0.138007i | ||||
\(395\) | 2.07378 | − | 3.52606i | 0.104343 | − | 0.177415i | ||||
\(396\) | −16.5638 | − | 15.5545i | −0.832364 | − | 0.781642i | ||||
\(397\) | 2.56108 | + | 13.4257i | 0.128537 | + | 0.673815i | 0.986972 | + | 0.160892i | \(0.0514372\pi\) |
−0.858435 | + | 0.512922i | \(0.828563\pi\) | |||||||
\(398\) | 10.6391 | + | 16.7646i | 0.533291 | + | 0.840331i | ||||
\(399\) | 6.83233 | + | 4.96398i | 0.342044 | + | 0.248510i | ||||
\(400\) | −14.7577 | − | 6.85721i | −0.737883 | − | 0.342860i | ||||
\(401\) | 10.6129 | − | 7.71074i | 0.529984 | − | 0.385056i | −0.290368 | − | 0.956915i | \(-0.593778\pi\) |
0.820352 | + | 0.571859i | \(0.193778\pi\) | |||||||
\(402\) | −44.2202 | − | 17.5080i | −2.20550 | − | 0.873221i | ||||
\(403\) | 0.0171980 | − | 0.0365476i | 0.000856692 | − | 0.00182056i | ||||
\(404\) | −0.295791 | + | 0.628589i | −0.0147162 | + | 0.0312735i | ||||
\(405\) | −15.7203 | + | 12.2551i | −0.781149 | + | 0.608961i | ||||
\(406\) | −1.82301 | + | 9.55654i | −0.0904743 | + | 0.474283i | ||||
\(407\) | 7.35239 | − | 22.6283i | 0.364444 | − | 1.12164i | ||||
\(408\) | −7.42532 | + | 6.97284i | −0.367608 | + | 0.345207i | ||||
\(409\) | 7.71814 | + | 9.32962i | 0.381637 | + | 0.461320i | 0.925997 | − | 0.377532i | \(-0.123227\pi\) |
−0.544359 | + | 0.838852i | \(0.683227\pi\) | |||||||
\(410\) | −53.5895 | − | 4.93462i | −2.64659 | − | 0.243703i | ||||
\(411\) | 2.07878 | − | 33.0412i | 0.102538 | − | 1.62980i | ||||
\(412\) | 34.5301 | − | 13.6714i | 1.70118 | − | 0.673543i | ||||
\(413\) | −0.654969 | + | 1.03207i | −0.0322289 | + | 0.0507846i | ||||
\(414\) | 31.4093 | + | 12.4358i | 1.54368 | + | 0.611186i | ||||
\(415\) | 2.40908 | − | 8.36778i | 0.118257 | − | 0.410758i | ||||
\(416\) | −13.7758 | + | 21.7071i | −0.675412 | + | 1.06428i | ||||
\(417\) | −14.2381 | + | 1.79869i | −0.697242 | + | 0.0880822i | ||||
\(418\) | −9.17811 | − | 28.2473i | −0.448916 | − | 1.38162i | ||||
\(419\) | 9.95753 | + | 5.47420i | 0.486457 | + | 0.267432i | 0.706053 | − | 0.708159i | \(-0.250474\pi\) |
−0.219596 | + | 0.975591i | \(0.570474\pi\) | |||||||
\(420\) | 5.59396 | + | 8.18848i | 0.272957 | + | 0.399557i | ||||
\(421\) | −23.6601 | − | 2.98896i | −1.15312 | − | 0.145673i | −0.474564 | − | 0.880221i | \(-0.657394\pi\) |
−0.678557 | + | 0.734548i | \(0.737394\pi\) | |||||||
\(422\) | −12.2278 | + | 6.72231i | −0.595242 | + | 0.327237i | ||||
\(423\) | −19.6191 | + | 5.03732i | −0.953911 | + | 0.244923i | ||||
\(424\) | 0.496946 | + | 1.52944i | 0.0241338 | + | 0.0742763i | ||||
\(425\) | −26.1550 | + | 16.7770i | −1.26870 | + | 0.813802i | ||||
\(426\) | 8.05056 | − | 24.7771i | 0.390051 | − | 1.20045i | ||||
\(427\) | −0.653047 | + | 10.3799i | −0.0316032 | + | 0.502318i | ||||
\(428\) | −31.5015 | − | 29.5819i | −1.52268 | − | 1.42989i | ||||
\(429\) | −22.0739 | + | 12.1352i | −1.06574 | + | 0.585894i | ||||
\(430\) | −18.7372 | + | 18.8283i | −0.903589 | + | 0.907982i | ||||
\(431\) | 9.96374 | + | 21.1740i | 0.479937 | + | 1.01992i | 0.987400 | + | 0.158244i | \(0.0505833\pi\) |
−0.507463 | + | 0.861673i | \(0.669417\pi\) | |||||||
\(432\) | −0.226371 | −0.0108913 | ||||||||
\(433\) | 11.0497 | + | 23.4818i | 0.531014 | + | 1.12846i | 0.972865 | + | 0.231373i | \(0.0743219\pi\) |
−0.441851 | + | 0.897088i | \(0.645678\pi\) | |||||||
\(434\) | 0.00129270 | + | 0.0205469i | 6.20518e−5 | + | 0.000986285i | ||||
\(435\) | 18.6253 | + | 27.2639i | 0.893016 | + | 1.30720i | ||||
\(436\) | 6.48016 | + | 10.2111i | 0.310343 | + | 0.489023i | ||||
\(437\) | 15.1192 | + | 18.2760i | 0.723250 | + | 0.874259i | ||||
\(438\) | −32.8709 | − | 39.7340i | −1.57063 | − | 1.89857i | ||||
\(439\) | 2.11965 | + | 3.34003i | 0.101165 | + | 0.159411i | 0.891140 | − | 0.453728i | \(-0.149906\pi\) |
−0.789975 | + | 0.613139i | \(0.789906\pi\) | |||||||
\(440\) | 0.139871 | − | 4.82326i | 0.00666807 | − | 0.229940i | ||||
\(441\) | −1.21590 | − | 19.3262i | −0.0579000 | − | 0.920294i | ||||
\(442\) | 17.4573 | + | 37.0986i | 0.830359 | + | 1.76460i | ||||
\(443\) | 11.5842 | 0.550383 | 0.275191 | − | 0.961389i | \(-0.411259\pi\) | ||||
0.275191 | + | 0.961389i | \(0.411259\pi\) | |||||||
\(444\) | 17.8600 | + | 37.9545i | 0.847599 | + | 1.80124i | ||||
\(445\) | −8.09230 | − | 4.09855i | −0.383612 | − | 0.194290i | ||||
\(446\) | 10.0036 | − | 5.49953i | 0.473684 | − | 0.260410i | ||||
\(447\) | −33.0942 | − | 31.0775i | −1.56530 | − | 1.46992i | ||||
\(448\) | 0.504745 | − | 8.02269i | 0.0238469 | − | 0.379036i | ||||
\(449\) | −7.65420 | + | 23.5572i | −0.361224 | + | 1.11173i | 0.591088 | + | 0.806607i | \(0.298698\pi\) |
−0.952312 | + | 0.305126i | \(0.901302\pi\) | |||||||
\(450\) | 30.9462 | + | 5.74790i | 1.45882 | + | 0.270959i | ||||
\(451\) | 11.5654 | + | 35.5945i | 0.544592 | + | 1.67608i | ||||
\(452\) | 22.1634 | − | 5.69059i | 1.04248 | − | 0.267663i | ||||
\(453\) | −42.8114 | + | 23.5358i | −2.01146 | + | 1.10581i | ||||
\(454\) | −37.2020 | − | 4.69970i | −1.74597 | − | 0.220568i | ||||
\(455\) | 5.29964 | − | 1.55363i | 0.248451 | − | 0.0728355i | ||||
\(456\) | 6.34846 | + | 3.49010i | 0.297294 | + | 0.163439i | ||||
\(457\) | −4.80474 | − | 14.7875i | −0.224756 | − | 0.691729i | −0.998316 | − | 0.0580056i | \(-0.981526\pi\) |
0.773560 | − | 0.633723i | \(-0.218474\pi\) | |||||||
\(458\) | −32.2371 | + | 4.07249i | −1.50634 | + | 0.190295i | ||||
\(459\) | −0.231615 | + | 0.364966i | −0.0108108 | + | 0.0170352i | ||||
\(460\) | 9.49819 | + | 26.1828i | 0.442855 | + | 1.22078i | ||||
\(461\) | −17.1720 | − | 6.79886i | −0.799778 | − | 0.316654i | −0.0675514 | − | 0.997716i | \(-0.521519\pi\) |
−0.732226 | + | 0.681061i | \(0.761519\pi\) | |||||||
\(462\) | 6.87953 | − | 10.8404i | 0.320065 | − | 0.504341i | ||||
\(463\) | −8.09227 | + | 3.20396i | −0.376080 | + | 0.148900i | −0.548557 | − | 0.836113i | \(-0.684823\pi\) |
0.172478 | + | 0.985013i | \(0.444823\pi\) | |||||||
\(464\) | 1.22904 | − | 19.5350i | 0.0570567 | − | 0.906890i | ||||
\(465\) | 0.0525233 | + | 0.0460797i | 0.00243571 | + | 0.00213689i | ||||
\(466\) | −24.9658 | − | 30.1784i | −1.15652 | − | 1.39799i | ||||
\(467\) | 28.2318 | − | 26.5114i | 1.30641 | − | 1.22680i | 0.349325 | − | 0.937002i | \(-0.386411\pi\) |
0.957087 | − | 0.289801i | \(-0.0935891\pi\) | |||||||
\(468\) | 6.89385 | − | 21.2171i | 0.318668 | − | 0.980761i | ||||
\(469\) | 1.35881 | − | 7.12315i | 0.0627442 | − | 0.328917i | ||||
\(470\) | −25.7563 | − | 17.4128i | −1.18805 | − | 0.803194i | ||||
\(471\) | 1.40970 | − | 2.99577i | 0.0649557 | − | 0.138038i | ||||
\(472\) | −0.446460 | + | 0.948775i | −0.0205500 | + | 0.0436709i | ||||
\(473\) | 17.1759 | + | 6.80041i | 0.789747 | + | 0.312683i | ||||
\(474\) | 7.55380 | − | 5.48816i | 0.346958 | − | 0.252080i | ||||
\(475\) | 17.0965 | + | 14.0044i | 0.784442 | + | 0.642565i | ||||
\(476\) | −9.08166 | − | 6.59821i | −0.416257 | − | 0.302428i | ||||
\(477\) | 3.90898 | + | 6.15957i | 0.178980 | + | 0.282028i | ||||
\(478\) | −2.71652 | − | 14.2405i | −0.124251 | − | 0.651345i | ||||
\(479\) | 16.1778 | + | 15.1920i | 0.739184 | + | 0.694140i | 0.959632 | − | 0.281259i | \(-0.0907519\pi\) |
−0.220448 | + | 0.975399i | \(0.570752\pi\) | |||||||
\(480\) | −29.4915 | − | 33.2884i | −1.34610 | − | 1.51940i | ||||
\(481\) | 23.1758 | − | 2.92779i | 1.05673 | − | 0.133496i | ||||
\(482\) | −32.3584 | + | 23.5098i | −1.47389 | + | 1.07084i | ||||
\(483\) | −1.92128 | + | 10.0717i | −0.0874213 | + | 0.458278i | ||||
\(484\) | 1.18802 | − | 0.470371i | 0.0540009 | − | 0.0213805i | ||||
\(485\) | 2.70793 | + | 3.05657i | 0.122961 | + | 0.138792i | ||||
\(486\) | −44.4875 | + | 11.4225i | −2.01799 | + | 0.518133i | ||||
\(487\) | −11.8909 | − | 3.05307i | −0.538830 | − | 0.138348i | −0.0305390 | − | 0.999534i | \(-0.509722\pi\) |
−0.508291 | + | 0.861186i | \(0.669722\pi\) | |||||||
\(488\) | 0.560204 | + | 8.90419i | 0.0253592 | + | 0.403074i | ||||
\(489\) | 6.85943 | − | 8.29163i | 0.310194 | − | 0.374960i | ||||
\(490\) | 20.9659 | − | 21.0678i | 0.947144 | − | 0.951748i | ||||
\(491\) | −1.41728 | − | 0.363896i | −0.0639611 | − | 0.0164224i | 0.216574 | − | 0.976266i | \(-0.430512\pi\) |
−0.280535 | + | 0.959844i | \(0.590512\pi\) | |||||||
\(492\) | −57.8208 | − | 31.7873i | −2.60676 | − | 1.43308i | ||||
\(493\) | −30.2378 | − | 21.9690i | −1.36184 | − | 0.989435i | ||||
\(494\) | 21.2573 | − | 19.9619i | 0.956410 | − | 0.898129i | ||||
\(495\) | −4.82684 | − | 21.3507i | −0.216950 | − | 0.959643i | ||||
\(496\) | −0.00776140 | − | 0.0406867i | −0.000348497 | − | 0.00182689i | ||||
\(497\) | 3.94091 | + | 0.497853i | 0.176774 | + | 0.0223318i | ||||
\(498\) | 12.6690 | − | 15.3142i | 0.567712 | − | 0.686245i | ||||
\(499\) | 11.5060 | 0.515081 | 0.257540 | − | 0.966268i | \(-0.417088\pi\) | ||||
0.257540 | + | 0.966268i | \(0.417088\pi\) | |||||||
\(500\) | 13.3723 | + | 22.2405i | 0.598029 | + | 0.994626i | ||||
\(501\) | 13.7175 | 0.612853 | ||||||||
\(502\) | 12.8292 | − | 15.5079i | 0.572596 | − | 0.692150i | ||||
\(503\) | 7.00757 | + | 0.885262i | 0.312452 | + | 0.0394719i | 0.279996 | − | 0.960001i | \(-0.409667\pi\) |
0.0324565 | + | 0.999473i | \(0.489667\pi\) | |||||||
\(504\) | 0.294787 | + | 1.54533i | 0.0131309 | + | 0.0688344i | ||||
\(505\) | −0.575219 | + | 0.342069i | −0.0255969 | + | 0.0152219i | ||||
\(506\) | 26.2865 | − | 24.6847i | 1.16858 | − | 1.09737i | ||||
\(507\) | 5.81438 | + | 4.22440i | 0.258226 | + | 0.187612i | ||||
\(508\) | 14.0448 | + | 7.72122i | 0.623139 | + | 0.342574i | ||||
\(509\) | −10.1123 | − | 2.59639i | −0.448219 | − | 0.115083i | 0.0178318 | − | 0.999841i | \(-0.494324\pi\) |
−0.466051 | + | 0.884758i | \(0.654324\pi\) | |||||||
\(510\) | −70.0248 | + | 11.2650i | −3.10075 | + | 0.498821i | ||||
\(511\) | 5.01190 | − | 6.05835i | 0.221713 | − | 0.268005i | ||||
\(512\) | 1.92825 | + | 30.6487i | 0.0852176 | + | 1.35449i | ||||
\(513\) | 0.297772 | + | 0.0764550i | 0.0131470 | + | 0.00337557i | ||||
\(514\) | 2.48533 | − | 0.638125i | 0.109623 | − | 0.0281465i | ||||
\(515\) | 34.9341 | + | 7.71981i | 1.53938 | + | 0.340176i | ||||
\(516\) | −30.2810 | + | 11.9891i | −1.33305 | + | 0.527790i | ||||
\(517\) | −4.05147 | + | 21.2386i | −0.178183 | + | 0.934071i | ||||
\(518\) | −9.63260 | + | 6.99849i | −0.423232 | + | 0.307496i | ||||
\(519\) | 35.1549 | − | 4.44110i | 1.54313 | − | 0.194943i | ||||
\(520\) | 4.34331 | − | 1.89203i | 0.190467 | − | 0.0829712i | ||||
\(521\) | −4.42096 | − | 4.15155i | −0.193686 | − | 0.181883i | 0.581637 | − | 0.813449i | \(-0.302413\pi\) |
−0.775322 | + | 0.631566i | \(0.782413\pi\) | |||||||
\(522\) | 7.09419 | + | 37.1890i | 0.310504 | + | 1.62772i | ||||
\(523\) | −14.1536 | − | 22.3024i | −0.618892 | − | 0.975217i | −0.998741 | − | 0.0501689i | \(-0.984024\pi\) |
0.379849 | − | 0.925049i | \(-0.375976\pi\) | |||||||
\(524\) | 11.4716 | + | 8.33461i | 0.501140 | + | 0.364099i | ||||
\(525\) | 0.0463312 | + | 9.55327i | 0.00202206 | + | 0.416939i | ||||
\(526\) | −17.1242 | + | 12.4414i | −0.746650 | + | 0.542473i | ||||
\(527\) | −0.0735382 | − | 0.0291158i | −0.00320338 | − | 0.00126831i | ||||
\(528\) | −10.9984 | + | 23.3727i | −0.478642 | + | 1.01717i | ||||
\(529\) | −2.46843 | + | 5.24568i | −0.107323 | + | 0.228073i | ||||
\(530\) | −3.09792 | + | 10.7604i | −0.134565 | + | 0.467403i | ||||
\(531\) | −0.891326 | + | 4.67249i | −0.0386803 | + | 0.202769i | ||||
\(532\) | −2.46715 | + | 7.59311i | −0.106965 | + | 0.329203i | ||||
\(533\) | −26.7863 | + | 25.1541i | −1.16025 | + | 1.08954i | ||||
\(534\) | −13.1977 | − | 15.9532i | −0.571119 | − | 0.690364i | ||||
\(535\) | −9.17979 | − | 40.6053i | −0.396877 | − | 1.75552i | ||||
\(536\) | 0.390597 | − | 6.20837i | 0.0168712 | − | 0.268161i | ||||
\(537\) | 3.49297 | − | 1.38297i | 0.150733 | − | 0.0596794i | ||||
\(538\) | 35.7604 | − | 56.3494i | 1.54174 | − | 2.42939i | ||||
\(539\) | −19.2188 | − | 7.60928i | −0.827814 | − | 0.327755i | ||||
\(540\) | 0.299069 | + | 0.202189i | 0.0128699 | + | 0.00870081i | ||||
\(541\) | 17.3707 | − | 27.3719i | 0.746826 | − | 1.17681i | −0.232120 | − | 0.972687i | \(-0.574566\pi\) |
0.978946 | − | 0.204122i | \(-0.0654338\pi\) | |||||||
\(542\) | 15.3939 | − | 1.94471i | 0.661226 | − | 0.0835323i | ||||
\(543\) | 2.97769 | + | 9.16440i | 0.127785 | + | 0.393282i | ||||
\(544\) | 44.1153 | + | 24.2526i | 1.89143 | + | 1.03982i | ||||
\(545\) | −0.337714 | + | 11.6456i | −0.0144661 | + | 0.498844i | ||||
\(546\) | 12.5062 | + | 1.57990i | 0.535214 | + | 0.0676133i | ||||
\(547\) | 17.4221 | − | 9.57786i | 0.744913 | − | 0.409520i | −0.0636167 | − | 0.997974i | \(-0.520264\pi\) |
0.808530 | + | 0.588455i | \(0.200264\pi\) | |||||||
\(548\) | 30.3147 | − | 7.78349i | 1.29498 | − | 0.332494i | ||||
\(549\) | 12.5068 | + | 38.4921i | 0.533778 | + | 1.64280i | ||||
\(550\) | 19.6165 | − | 27.2770i | 0.836451 | − | 1.16310i | ||||
\(551\) | −8.21449 | + | 25.2816i | −0.349949 | + | 1.07703i | ||||
\(552\) | −0.552281 | + | 8.77825i | −0.0235066 | + | 0.373627i | ||||
\(553\) | 1.03779 | + | 0.974547i | 0.0441312 | + | 0.0414420i | ||||
\(554\) | −1.91622 | + | 1.05345i | −0.0814122 | + | 0.0447567i | ||||
\(555\) | −6.22461 | + | 39.9270i | −0.264220 | + | 1.69481i | ||||
\(556\) | −5.77666 | − | 12.2760i | −0.244985 | − | 0.520619i | ||||
\(557\) | −40.9886 | −1.73674 | −0.868372 | − | 0.495913i | \(-0.834833\pi\) | ||||
−0.868372 | + | 0.495913i | \(0.834833\pi\) | |||||||
\(558\) | 0.0341117 | + | 0.0724911i | 0.00144406 | + | 0.00306879i | ||||
\(559\) | 1.13884 | + | 18.1013i | 0.0481677 | + | 0.765604i | ||||
\(560\) | 3.46023 | − | 4.48330i | 0.146221 | − | 0.189454i | ||||
\(561\) | 26.4295 | + | 41.6462i | 1.11585 | + | 1.75830i | ||||
\(562\) | 6.90018 | + | 8.34088i | 0.291067 | + | 0.351839i | ||||
\(563\) | −5.60788 | − | 6.77876i | −0.236344 | − | 0.285691i | 0.638984 | − | 0.769220i | \(-0.279355\pi\) |
−0.875328 | + | 0.483529i | \(0.839355\pi\) | |||||||
\(564\) | −20.4250 | − | 32.1847i | −0.860048 | − | 1.35522i | ||||
\(565\) | 20.7585 | + | 7.41670i | 0.873315 | + | 0.312023i | ||||
\(566\) | 4.11144 | + | 65.3495i | 0.172817 | + | 2.74684i | ||||
\(567\) | −2.95363 | − | 6.27679i | −0.124041 | − | 0.263600i | ||||
\(568\) | 3.40751 | 0.142976 | ||||||||
\(569\) | −3.85270 | − | 8.18740i | −0.161513 | − | 0.343234i | 0.807646 | − | 0.589667i | \(-0.200741\pi\) |
−0.969160 | + | 0.246434i | \(0.920741\pi\) | |||||||
\(570\) | 23.0098 | + | 44.8899i | 0.963776 | + | 1.88023i | ||||
\(571\) | −13.3539 | + | 7.34135i | −0.558842 | + | 0.307226i | −0.736028 | − | 0.676951i | \(-0.763301\pi\) |
0.177186 | + | 0.984177i | \(0.443301\pi\) | |||||||
\(572\) | −17.3594 | − | 16.3015i | −0.725831 | − | 0.681601i | ||||
\(573\) | −2.59882 | + | 41.3071i | −0.108567 | + | 1.72563i | ||||
\(574\) | 5.78761 | − | 17.8124i | 0.241570 | − | 0.743476i | ||||
\(575\) | −6.54664 | + | 26.0207i | −0.273014 | + | 1.08514i | ||||
\(576\) | −9.66661 | − | 29.7508i | −0.402775 | − | 1.23961i | ||||
\(577\) | 0.186241 | − | 0.0478187i | 0.00775333 | − | 0.00199072i | −0.244811 | − | 0.969571i | \(-0.578726\pi\) |
0.252565 | + | 0.967580i | \(0.418726\pi\) | |||||||
\(578\) | 39.3869 | − | 21.6531i | 1.63828 | − | 0.900652i | ||||
\(579\) | 15.3368 | + | 1.93749i | 0.637376 | + | 0.0805193i | ||||
\(580\) | −19.0719 | + | 24.7108i | −0.791917 | + | 1.02606i | ||||
\(581\) | 2.65559 | + | 1.45992i | 0.110173 | + | 0.0605679i | ||||
\(582\) | 2.88028 | + | 8.86459i | 0.119391 | + | 0.367449i | ||||
\(583\) | 7.72585 | − | 0.976002i | 0.319972 | − | 0.0404219i | ||||
\(584\) | 3.61410 | − | 5.69491i | 0.149552 | − | 0.235657i | ||||
\(585\) | 16.9495 | − | 13.2133i | 0.700776 | − | 0.546304i | ||||
\(586\) | 4.37835 | + | 1.73351i | 0.180868 | + | 0.0716107i | ||||
\(587\) | 8.16964 | − | 12.8733i | 0.337197 | − | 0.531338i | −0.632844 | − | 0.774280i | \(-0.718112\pi\) |
0.970041 | + | 0.242942i | \(0.0781125\pi\) | |||||||
\(588\) | 33.8827 | − | 13.4151i | 1.39730 | − | 0.553230i | ||||
\(589\) | −0.00353212 | + | 0.0561414i | −0.000145538 | + | 0.00231327i | ||||
\(590\) | −6.27538 | + | 3.73182i | −0.258353 | + | 0.153636i | ||||
\(591\) | −16.4554 | − | 19.8912i | −0.676886 | − | 0.818215i | ||||
\(592\) | 17.4624 | − | 16.3983i | 0.717700 | − | 0.673965i | ||||
\(593\) | −14.0758 | + | 43.3208i | −0.578023 | + | 1.77897i | 0.0476219 | + | 0.998865i | \(0.484836\pi\) |
−0.625645 | + | 0.780108i | \(0.715164\pi\) | |||||||
\(594\) | 0.0875784 | − | 0.459102i | 0.00359339 | − | 0.0188372i | ||||
\(595\) | −3.68782 | − | 10.1659i | −0.151186 | − | 0.416761i | ||||
\(596\) | 18.2739 | − | 38.8339i | 0.748526 | − | 1.59070i | ||||
\(597\) | −9.98539 | + | 21.2200i | −0.408675 | + | 0.868478i | ||||
\(598\) | 32.9178 | + | 13.0331i | 1.34611 | + | 0.532962i | ||||
\(599\) | −16.4139 | + | 11.9254i | −0.670653 | + | 0.487258i | −0.870244 | − | 0.492621i | \(-0.836039\pi\) |
0.199590 | + | 0.979879i | \(0.436039\pi\) | |||||||
\(600\) | 1.06655 | + | 8.12549i | 0.0435416 | + | 0.331722i | ||||
\(601\) | −5.83295 | − | 4.23788i | −0.237931 | − | 0.172867i | 0.462430 | − | 0.886656i | \(-0.346978\pi\) |
−0.700361 | + | 0.713789i | \(0.746978\pi\) | |||||||
\(602\) | −4.95341 | − | 7.80533i | −0.201886 | − | 0.318121i | ||||
\(603\) | −5.28779 | − | 27.7196i | −0.215335 | − | 1.12883i | ||||
\(604\) | −33.6678 | − | 31.6162i | −1.36992 | − | 1.28644i | ||||
\(605\) | 1.20192 | + | 0.265603i | 0.0488651 | + | 0.0107983i | ||||
\(606\) | −1.51551 | + | 0.191454i | −0.0615635 | + | 0.00777728i | ||||
\(607\) | 2.44524 | − | 1.77657i | 0.0992490 | − | 0.0721087i | −0.537054 | − | 0.843548i | \(-0.680463\pi\) |
0.636303 | + | 0.771439i | \(0.280463\pi\) | |||||||
\(608\) | 6.70911 | − | 35.1704i | 0.272090 | − | 1.42635i | ||||
\(609\) | −10.6842 | + | 4.23016i | −0.432944 | + | 0.171415i | ||||
\(610\) | −31.4929 | + | 53.5476i | −1.27511 | + | 2.16808i | ||||
\(611\) | −20.5613 | + | 5.27925i | −0.831822 | + | 0.213576i | ||||
\(612\) | −42.3115 | − | 10.8637i | −1.71034 | − | 0.439141i | ||||
\(613\) | −1.51718 | − | 24.1150i | −0.0612785 | − | 0.973994i | −0.901783 | − | 0.432189i | \(-0.857741\pi\) |
0.840504 | − | 0.541805i | \(-0.182259\pi\) | |||||||
\(614\) | 25.0490 | − | 30.2790i | 1.01090 | − | 1.22196i | ||||
\(615\) | −28.9948 | − | 56.5659i | −1.16918 | − | 2.28096i | ||||
\(616\) | 1.62654 | + | 0.417624i | 0.0655351 | + | 0.0168265i | ||||
\(617\) | −29.2112 | − | 16.0590i | −1.17600 | − | 0.646511i | −0.230798 | − | 0.973002i | \(-0.574134\pi\) |
−0.945200 | + | 0.326491i | \(0.894134\pi\) | |||||||
\(618\) | 66.0653 | + | 47.9993i | 2.65754 | + | 1.93081i | ||||
\(619\) | −8.36904 | + | 7.85905i | −0.336380 | + | 0.315882i | −0.834268 | − | 0.551360i | \(-0.814109\pi\) |
0.497888 | + | 0.867242i | \(0.334109\pi\) | |||||||
\(620\) | −0.0260864 | + | 0.0606853i | −0.00104765 | + | 0.00243718i | ||||
\(621\) | 0.0699402 | + | 0.366639i | 0.00280660 | + | 0.0147127i | ||||
\(622\) | 30.2108 | + | 3.81651i | 1.21134 | + | 0.153028i | ||||
\(623\) | 2.01228 | − | 2.43243i | 0.0806203 | − | 0.0974532i | ||||
\(624\) | −25.3613 | −1.01526 | ||||||||
\(625\) | −1.32768 | + | 24.9647i | −0.0531074 | + | 0.998589i | ||||
\(626\) | −17.7727 | −0.710342 | ||||||||
\(627\) | 22.3614 | − | 27.0303i | 0.893028 | − | 1.07949i | ||||
\(628\) | 3.10533 | + | 0.392294i | 0.123916 | + | 0.0156542i | ||||
\(629\) | −8.57120 | − | 44.9318i | −0.341756 | − | 1.79155i | ||||
\(630\) | −4.32600 | + | 10.0637i | −0.172352 | + | 0.400947i | ||||
\(631\) | 14.7988 | − | 13.8970i | 0.589130 | − | 0.553230i | −0.331605 | − | 0.943418i | \(-0.607590\pi\) |
0.920735 | + | 0.390188i | \(0.127590\pi\) | |||||||
\(632\) | 0.988004 | + | 0.717827i | 0.0393007 | + | 0.0285536i | ||||
\(633\) | −14.4427 | − | 7.93996i | −0.574047 | − | 0.315585i | ||||
\(634\) | −12.4574 | − | 3.19851i | −0.494745 | − | 0.127029i | ||||
\(635\) | 7.04291 | + | 13.7400i | 0.279489 | + | 0.545256i | ||||
\(636\) | −8.75113 | + | 10.5783i | −0.347005 | + | 0.419457i | ||||
\(637\) | −1.27430 | − | 20.2544i | −0.0504895 | − | 0.802507i | ||||
\(638\) | 39.1434 | + | 10.0503i | 1.54970 | + | 0.397896i | ||||
\(639\) | 14.9722 | − | 3.84421i | 0.592292 | − | 0.152075i | ||||
\(640\) | 5.97582 | − | 10.1607i | 0.236215 | − | 0.401638i | ||||
\(641\) | −16.1026 | + | 6.37546i | −0.636014 | + | 0.251816i | −0.663930 | − | 0.747795i | \(-0.731113\pi\) |
0.0279163 | + | 0.999610i | \(0.491113\pi\) | |||||||
\(642\) | 17.8051 | − | 93.3378i | 0.702713 | − | 3.68375i | ||||
\(643\) | 27.8652 | − | 20.2453i | 1.09890 | − | 0.798395i | 0.118018 | − | 0.993012i | \(-0.462346\pi\) |
0.980879 | + | 0.194616i | \(0.0623461\pi\) | |||||||
\(644\) | −9.61676 | + | 1.21488i | −0.378953 | + | 0.0478729i | ||||
\(645\) | −30.6353 | − | 6.76985i | −1.20626 | − | 0.266562i | ||||
\(646\) | −41.6245 | − | 39.0880i | −1.63770 | − | 1.53790i | ||||
\(647\) | −7.64256 | − | 40.0637i | −0.300460 | − | 1.57507i | −0.737324 | − | 0.675539i | \(-0.763911\pi\) |
0.436864 | − | 0.899528i | \(-0.356089\pi\) | |||||||
\(648\) | −3.18858 | − | 5.02440i | −0.125259 | − | 0.197377i | ||||
\(649\) | 4.10784 | + | 2.98452i | 0.161247 | + | 0.117153i | ||||
\(650\) | 32.4325 | + | 6.02396i | 1.27211 | + | 0.236279i | ||||
\(651\) | −0.0196726 | + | 0.0142930i | −0.000771030 | + | 0.000560186i | ||||
\(652\) | 9.45890 | + | 3.74505i | 0.370439 | + | 0.146667i | ||||
\(653\) | 18.2985 | − | 38.8863i | 0.716075 | − | 1.52174i | −0.131646 | − | 0.991297i | \(-0.542026\pi\) |
0.847722 | − | 0.530441i | \(-0.177974\pi\) | |||||||
\(654\) | −11.3225 | + | 24.0615i | −0.442745 | + | 0.940880i | ||||
\(655\) | 4.65831 | + | 12.8412i | 0.182015 | + | 0.501746i | ||||
\(656\) | −7.06077 | + | 37.0139i | −0.275677 | + | 1.44515i | ||||
\(657\) | 9.45519 | − | 29.1001i | 0.368882 | − | 1.13530i | ||||
\(658\) | 7.88742 | − | 7.40678i | 0.307484 | − | 0.288746i | ||||
\(659\) | 22.5002 | + | 27.1981i | 0.876485 | + | 1.05949i | 0.997762 | + | 0.0668697i | \(0.0213012\pi\) |
−0.121277 | + | 0.992619i | \(0.538699\pi\) | |||||||
\(660\) | 35.4063 | − | 21.0553i | 1.37819 | − | 0.819576i | ||||
\(661\) | −0.409348 | + | 6.50640i | −0.0159218 | + | 0.253070i | 0.982012 | + | 0.188819i | \(0.0604658\pi\) |
−0.997934 | + | 0.0642510i | \(0.979534\pi\) | |||||||
\(662\) | −35.7504 | + | 14.1546i | −1.38948 | + | 0.550134i | ||||
\(663\) | −25.9487 | + | 40.8887i | −1.00777 | + | 1.58798i | ||||
\(664\) | 2.41705 | + | 0.956977i | 0.0937997 | + | 0.0371379i | ||||
\(665\) | −6.06584 | + | 4.72875i | −0.235223 | + | 0.183373i | ||||
\(666\) | −24.8270 | + | 39.1211i | −0.962027 | + | 1.51591i | ||||
\(667\) | −32.0194 | + | 4.04499i | −1.23980 | + | 0.156623i | ||||
\(668\) | 4.00738 | + | 12.3334i | 0.155050 | + | 0.477195i | ||||
\(669\) | 11.8156 | + | 6.49568i | 0.456818 | + | 0.251138i | ||||
\(670\) | 26.4644 | − | 34.2891i | 1.02241 | − | 1.32470i | ||||
\(671\) | 42.8619 | + | 5.41472i | 1.65467 | + | 0.209033i | ||||
\(672\) | 13.5631 | − | 7.45637i | 0.523207 | − | 0.287636i | ||||
\(673\) | 24.5764 | − | 6.31015i | 0.947351 | − | 0.243238i | 0.256753 | − | 0.966477i | \(-0.417347\pi\) |
0.690598 | + | 0.723239i | \(0.257347\pi\) | |||||||
\(674\) | 8.39204 | + | 25.8280i | 0.323249 | + | 0.994859i | ||||
\(675\) | 0.129590 | + | 0.322725i | 0.00498791 | + | 0.0124217i | ||||
\(676\) | −2.09957 | + | 6.46182i | −0.0807528 | + | 0.248532i | ||||
\(677\) | −1.93666 | + | 30.7824i | −0.0744320 | + | 1.18306i | 0.766617 | + | 0.642105i | \(0.221939\pi\) |
−0.841049 | + | 0.540959i | \(0.818061\pi\) | |||||||
\(678\) | 36.6779 | + | 34.4428i | 1.40861 | + | 1.32277i | ||||
\(679\) | −1.24537 | + | 0.684650i | −0.0477931 | + | 0.0262745i | ||||
\(680\) | −4.23156 | − | 8.25535i | −0.162273 | − | 0.316578i | ||||
\(681\) | −18.8577 | − | 40.0746i | −0.722627 | − | 1.53566i | ||||
\(682\) | 0.0855193 | 0.00327470 | ||||||||
\(683\) | 0.266017 | + | 0.565314i | 0.0101788 | + | 0.0216312i | 0.909852 | − | 0.414933i | \(-0.136195\pi\) |
−0.899673 | + | 0.436564i | \(0.856195\pi\) | |||||||
\(684\) | 1.95084 | + | 31.0077i | 0.0745923 | + | 1.18561i | ||||
\(685\) | 28.3931 | + | 10.1444i | 1.08484 | + | 0.387599i | ||||
\(686\) | 11.6101 | + | 18.2946i | 0.443276 | + | 0.698491i | ||||
\(687\) | −24.4637 | − | 29.5715i | −0.933347 | − | 1.12822i | ||||
\(688\) | 11.8554 | + | 14.3308i | 0.451984 | + | 0.546355i | ||||
\(689\) | 4.09672 | + | 6.45540i | 0.156073 | + | 0.245931i | ||||
\(690\) | −37.4191 | + | 48.4827i | −1.42452 | + | 1.84570i | ||||
\(691\) | 2.07242 | + | 32.9402i | 0.0788386 | + | 1.25310i | 0.816266 | + | 0.577676i | \(0.196040\pi\) |
−0.737427 | + | 0.675427i | \(0.763960\pi\) | |||||||
\(692\) | 14.2630 | + | 30.3104i | 0.542198 | + | 1.15223i | ||||
\(693\) | 7.61798 | 0.289383 | ||||||||
\(694\) | −1.39406 | − | 2.96253i | −0.0529178 | − | 0.112456i | ||||
\(695\) | 2.01329 | − | 12.9140i | 0.0763686 | − | 0.489857i | ||||
\(696\) | −8.63812 | + | 4.74885i | −0.327427 | + | 0.180005i | ||||
\(697\) | 52.4512 | + | 49.2549i | 1.98673 | + | 1.86566i | ||||
\(698\) | −1.26696 | + | 20.1377i | −0.0479550 | + | 0.762222i | ||||
\(699\) | 14.2955 | − | 43.9969i | 0.540705 | − | 1.66412i | ||||
\(700\) | −8.57583 | + | 2.83251i | −0.324136 | + | 0.107059i | ||||
\(701\) | −7.08536 | − | 21.8065i | −0.267610 | − | 0.823620i | −0.991081 | − | 0.133264i | \(-0.957454\pi\) |
0.723470 | − | 0.690356i | \(-0.242546\pi\) | |||||||
\(702\) | 0.444463 | − | 0.114119i | 0.0167752 | − | 0.00430713i | ||||
\(703\) | −28.5087 | + | 15.6728i | −1.07523 | + | 0.591111i | ||||
\(704\) | −33.1283 | − | 4.18507i | −1.24857 | − | 0.157731i | ||||
\(705\) | 1.06445 | − | 36.7062i | 0.0400895 | − | 1.38243i | ||||
\(706\) | −58.0466 | − | 31.9114i | −2.18461 | − | 1.20100i | ||||
\(707\) | −0.0719733 | − | 0.221511i | −0.00270683 | − | 0.00833078i | ||||
\(708\) | −8.88114 | + | 1.12195i | −0.333774 | + | 0.0421654i | ||||
\(709\) | −3.41258 | + | 5.37737i | −0.128162 | + | 0.201951i | −0.902349 | − | 0.431005i | \(-0.858159\pi\) |
0.774187 | + | 0.632957i | \(0.218159\pi\) | |||||||
\(710\) | 19.6559 | + | 13.2885i | 0.737671 | + | 0.498710i | ||||
\(711\) | 5.15101 | + | 2.03943i | 0.193178 | + | 0.0764845i | ||||
\(712\) | 1.45106 | − | 2.28651i | 0.0543808 | − | 0.0856905i | ||||
\(713\) | −0.0634998 | + | 0.0251414i | −0.00237809 | + | 0.000941551i | ||||
\(714\) | 1.54988 | − | 24.6346i | 0.0580028 | − | 0.921928i | ||||
\(715\) | −5.05866 | − | 22.3761i | −0.189183 | − | 0.836820i | ||||
\(716\) | 2.26385 | + | 2.73652i | 0.0846040 | + | 0.102269i | ||||
\(717\) | 12.4823 | − | 11.7217i | 0.466160 | − | 0.437753i | ||||
\(718\) | −10.3202 | + | 31.7624i | −0.385147 | + | 1.18536i | ||||
\(719\) | −2.48139 | + | 13.0079i | −0.0925403 | + | 0.485113i | 0.905599 | + | 0.424135i | \(0.139422\pi\) |
−0.998139 | + | 0.0609778i | \(0.980578\pi\) | |||||||
\(720\) | 6.09725 | − | 21.1784i | 0.227231 | − | 0.789273i | ||||
\(721\) | −5.30141 | + | 11.2661i | −0.197435 | + | 0.419571i | ||||
\(722\) | −0.474881 | + | 1.00917i | −0.0176732 | + | 0.0375576i | ||||
\(723\) | −43.9246 | − | 17.3910i | −1.63357 | − | 0.646778i | ||||
\(724\) | −7.36984 | + | 5.35450i | −0.273898 | + | 0.198998i | ||||
\(725\) | −28.5536 | + | 9.43096i | −1.06045 | + | 0.350257i | ||||
\(726\) | 2.27300 | + | 1.65143i | 0.0843590 | + | 0.0612904i | ||||
\(727\) | −15.0569 | − | 23.7258i | −0.558429 | − | 0.879943i | 0.441421 | − | 0.897300i | \(-0.354475\pi\) |
−0.999849 | + | 0.0173574i | \(0.994475\pi\) | |||||||
\(728\) | 0.308945 | + | 1.61955i | 0.0114503 | + | 0.0600244i | ||||
\(729\) | −20.0521 | − | 18.8302i | −0.742670 | − | 0.697414i | ||||
\(730\) | 43.0565 | − | 18.7563i | 1.59359 | − | 0.694201i | ||||
\(731\) | 35.2348 | − | 4.45119i | 1.30321 | − | 0.164633i | ||||
\(732\) | −61.6196 | + | 44.7693i | −2.27753 | + | 1.65472i | ||||
\(733\) | 2.97459 | − | 15.5934i | 0.109869 | − | 0.575954i | −0.884191 | − | 0.467125i | \(-0.845290\pi\) |
0.994060 | − | 0.108829i | \(-0.0347102\pi\) | |||||||
\(734\) | −11.7785 | + | 4.66343i | −0.434752 | + | 0.172130i | ||||
\(735\) | 34.2792 | + | 7.57508i | 1.26441 | + | 0.279411i | ||||
\(736\) | 42.1045 | − | 10.8106i | 1.55199 | − | 0.398484i | ||||
\(737\) | −29.1763 | − | 7.49120i | −1.07472 | − | 0.275942i | ||||
\(738\) | −4.57641 | − | 72.7400i | −0.168460 | − | 2.67759i | ||||
\(739\) | −32.8772 | + | 39.7417i | −1.20941 | + | 1.46192i | −0.361009 | + | 0.932562i | \(0.617568\pi\) |
−0.848398 | + | 0.529360i | \(0.822432\pi\) | |||||||
\(740\) | −37.7169 | + | 6.06755i | −1.38650 | + | 0.223048i | ||||
\(741\) | 33.3607 | + | 8.56557i | 1.22554 | + | 0.314664i | ||||
\(742\) | −3.41492 | − | 1.87737i | −0.125366 | − | 0.0689204i | ||||
\(743\) | −18.2825 | − | 13.2830i | −0.670720 | − | 0.487307i | 0.199546 | − | 0.979888i | \(-0.436053\pi\) |
−0.870266 | + | 0.492582i | \(0.836053\pi\) | |||||||
\(744\) | −0.0152060 | + | 0.0142794i | −0.000557479 | + | 0.000523507i | ||||
\(745\) | 35.5368 | − | 21.1329i | 1.30197 | − | 0.774249i | ||||
\(746\) | 9.34446 | + | 48.9854i | 0.342125 | + | 1.79348i | ||||
\(747\) | 11.6999 | + | 1.47804i | 0.428076 | + | 0.0540786i | ||||
\(748\) | −29.7232 | + | 35.9291i | −1.08679 | + | 1.31370i | ||||
\(749\) | 14.4881 | 0.529382 | ||||||||
\(750\) | −25.5354 | + | 51.0304i | −0.932421 | + | 1.86337i | ||||
\(751\) | −44.1937 | −1.61265 | −0.806326 | − | 0.591471i | \(-0.798547\pi\) | ||||
−0.806326 | + | 0.591471i | \(0.798547\pi\) | |||||||
\(752\) | −13.8760 | + | 16.7732i | −0.506005 | + | 0.611655i | ||||
\(753\) | 23.5849 | + | 2.97946i | 0.859480 | + | 0.108578i | ||||
\(754\) | 7.43490 | + | 38.9751i | 0.270763 | + | 1.41939i | ||||
\(755\) | −9.81108 | − | 43.3977i | −0.357062 | − | 1.57940i | ||||
\(756\) | −0.0915846 | + | 0.0860037i | −0.00333090 | + | 0.00312792i | ||||
\(757\) | 4.17190 | + | 3.03106i | 0.151630 | + | 0.110166i | 0.661014 | − | 0.750374i | \(-0.270126\pi\) |
−0.509383 | + | 0.860540i | \(0.670126\pi\) | |||||||
\(758\) | −49.3688 | − | 27.1407i | −1.79315 | − | 0.985795i | ||||
\(759\) | 41.2535 | + | 10.5921i | 1.49741 | + | 0.384468i | ||||
\(760\) | −4.65402 | + | 4.67665i | −0.168819 | + | 0.169640i | ||||
\(761\) | 10.8259 | − | 13.0862i | 0.392437 | − | 0.474375i | −0.536879 | − | 0.843659i | \(-0.680397\pi\) |
0.929317 | + | 0.369284i | \(0.120397\pi\) | |||||||
\(762\) | 2.21285 | + | 35.1722i | 0.0801630 | + | 1.27415i | ||||
\(763\) | −3.92723 | − | 1.00834i | −0.142175 | − | 0.0365044i | ||||
\(764\) | −37.8984 | + | 9.73067i | −1.37112 | + | 0.352043i | ||||
\(765\) | −27.9064 | − | 31.4993i | −1.00896 | − | 1.13886i | ||||
\(766\) | 38.5197 | − | 15.2510i | 1.39177 | − | 0.551042i | ||||
\(767\) | −0.934134 | + | 4.89690i | −0.0337296 | + | 0.176817i | ||||
\(768\) | −19.2698 | + | 14.0004i | −0.695340 | + | 0.505194i | ||||
\(769\) | 15.4047 | − | 1.94606i | 0.555507 | − | 0.0701768i | 0.157432 | − | 0.987530i | \(-0.449679\pi\) |
0.398075 | + | 0.917353i | \(0.369679\pi\) | |||||||
\(770\) | 7.75388 | + | 8.75217i | 0.279430 | + | 0.315406i | ||||
\(771\) | 2.20930 | + | 2.07468i | 0.0795662 | + | 0.0747176i | ||||
\(772\) | 2.73843 | + | 14.3554i | 0.0985583 | + | 0.516661i | ||||
\(773\) | −4.48315 | − | 7.06432i | −0.161248 | − | 0.254086i | 0.754091 | − | 0.656769i | \(-0.228078\pi\) |
−0.915339 | + | 0.402683i | \(0.868078\pi\) | |||||||
\(774\) | −29.1039 | − | 21.1452i | −1.04612 | − | 0.760050i | ||||
\(775\) | −0.0535617 | + | 0.0343568i | −0.00192399 | + | 0.00123413i | ||||
\(776\) | −0.986286 | + | 0.716579i | −0.0354056 | + | 0.0257237i | ||||
\(777\) | −13.0757 | − | 5.17702i | −0.469087 | − | 0.185725i | ||||
\(778\) | −26.3245 | + | 55.9423i | −0.943777 | + | 2.00563i | ||||
\(779\) | 21.7890 | − | 46.3040i | 0.780672 | − | 1.65901i | ||||
\(780\) | 33.5059 | + | 22.6520i | 1.19971 | + | 0.811073i | ||||
\(781\) | 3.09187 | − | 16.2081i | 0.110636 | − | 0.579972i | ||||
\(782\) | 21.4228 | − | 65.9326i | 0.766077 | − | 2.35774i | ||||
\(783\) | −0.304935 | + | 0.286353i | −0.0108975 | + | 0.0102334i | ||||
\(784\) | −13.2656 | − | 16.0353i | −0.473770 | − | 0.572690i | ||||
\(785\) | 2.26663 | + | 1.98856i | 0.0808997 | + | 0.0709747i | ||||
\(786\) | −1.95775 | + | 31.1176i | −0.0698307 | + | 1.10993i | ||||
\(787\) | −47.9028 | + | 18.9661i | −1.70755 | + | 0.676067i | −0.999546 | − | 0.0301394i | \(-0.990405\pi\) |
−0.708006 | + | 0.706207i | \(0.750405\pi\) | |||||||
\(788\) | 13.0770 | − | 20.6060i | 0.465848 | − | 0.734060i | ||||
\(789\) | −23.2450 | − | 9.20336i | −0.827545 | − | 0.327648i | ||||
\(790\) | 2.89983 | + | 7.99371i | 0.103171 | + | 0.284404i | ||||
\(791\) | −4.11066 | + | 6.47736i | −0.146158 | + | 0.230308i | ||||
\(792\) | 6.48341 | − | 0.819045i | 0.230378 | − | 0.0291035i | ||||
\(793\) | 13.1075 | + | 40.3407i | 0.465461 | + | 1.43254i | ||||
\(794\) | −24.8973 | − | 13.6874i | −0.883572 | − | 0.485748i | ||||
\(795\) | −12.6916 | + | 3.72065i | −0.450125 | + | 0.131958i | ||||
\(796\) | −21.9961 | − | 2.77875i | −0.779629 | − | 0.0984901i | ||||
\(797\) | 13.9758 | − | 7.68325i | 0.495047 | − | 0.272155i | −0.214612 | − | 0.976699i | \(-0.568849\pi\) |
0.709660 | + | 0.704545i | \(0.248849\pi\) | |||||||
\(798\) | −17.0038 | + | 4.36585i | −0.601930 | + | 0.154549i | ||||
\(799\) | 12.8451 | + | 39.5332i | 0.454428 | + | 1.39859i | ||||
\(800\) | 36.5640 | − | 17.4228i | 1.29273 | − | 0.615988i | ||||
\(801\) | 3.79626 | − | 11.6837i | 0.134134 | − | 0.412823i | ||||
\(802\) | −1.71226 | + | 27.2156i | −0.0604621 | + | 0.961018i | ||||
\(803\) | −23.8090 | − | 22.3582i | −0.840203 | − | 0.789003i | ||||
\(804\) | 46.5372 | − | 25.5840i | 1.64124 | − | 0.902280i | ||||
\(805\) | −8.33042 | − | 4.21915i | −0.293609 | − | 0.148705i | ||||
\(806\) | 0.0357500 | + | 0.0759727i | 0.00125924 | + | 0.00267602i | ||||
\(807\) | 78.8274 | 2.77486 | ||||||||
\(808\) | −0.0850697 | − | 0.180782i | −0.00299274 | − | 0.00635990i | ||||
\(809\) | −2.33909 | − | 37.1787i | −0.0822379 | − | 1.30713i | −0.795379 | − | 0.606113i | \(-0.792728\pi\) |
0.713141 | − | 0.701021i | \(-0.247272\pi\) | |||||||
\(810\) | 1.20108 | − | 41.4176i | 0.0422015 | − | 1.45526i | ||||
\(811\) | 15.9114 | + | 25.0723i | 0.558723 | + | 0.880407i | 0.999855 | − | 0.0170354i | \(-0.00542281\pi\) |
−0.441132 | + | 0.897442i | \(0.645423\pi\) | |||||||
\(812\) | −6.92456 | − | 8.37036i | −0.243005 | − | 0.293742i | ||||
\(813\) | 11.6820 | + | 14.1211i | 0.409704 | + | 0.495247i | ||||
\(814\) | 26.5014 | + | 41.7596i | 0.928875 | + | 1.46367i | ||||
\(815\) | 5.52831 | + | 8.09239i | 0.193648 | + | 0.283464i | ||||
\(816\) | 3.11822 | + | 49.5627i | 0.109160 | + | 1.73504i | ||||
\(817\) | −10.7547 | − | 22.8550i | −0.376261 | − | 0.799595i | ||||
\(818\) | −25.1700 | −0.880048 | ||||||||
\(819\) | 3.18458 | + | 6.76758i | 0.111278 | + | 0.236478i | ||||
\(820\) | 42.3881 | − | 42.5942i | 1.48026 | − | 1.48745i | ||||
\(821\) | −22.3092 | + | 12.2646i | −0.778598 | + | 0.428038i | −0.820903 | − | 0.571067i | \(-0.806530\pi\) |
0.0423058 | + | 0.999105i | \(0.486530\pi\) | |||||||
\(822\) | 50.1674 | + | 47.1103i | 1.74979 | + | 1.64316i | ||||
\(823\) | 0.607457 | − | 9.65525i | 0.0211746 | − | 0.336561i | −0.973150 | − | 0.230172i | \(-0.926071\pi\) |
0.994325 | − | 0.106389i | \(-0.0339289\pi\) | |||||||
\(824\) | −3.30059 | + | 10.1582i | −0.114981 | + | 0.353876i | ||||
\(825\) | 39.6174 | + | 2.29968i | 1.37930 | + | 0.0800646i | ||||
\(826\) | −0.785195 | − | 2.41658i | −0.0273204 | − | 0.0840836i | ||||
\(827\) | 41.0839 | − | 10.5485i | 1.42863 | − | 0.366809i | 0.546356 | − | 0.837553i | \(-0.316014\pi\) |
0.882270 | + | 0.470744i | \(0.156014\pi\) | |||||||
\(828\) | −33.0550 | + | 18.1721i | −1.14874 | + | 0.631525i | ||||
\(829\) | 0.209963 | + | 0.0265245i | 0.00729232 | + | 0.000921234i | 0.128979 | − | 0.991647i | \(-0.458830\pi\) |
−0.121686 | + | 0.992569i | \(0.538830\pi\) | |||||||
\(830\) | 10.2105 | + | 14.9462i | 0.354411 | + | 0.518790i | ||||
\(831\) | −2.26331 | − | 1.24426i | −0.0785133 | − | 0.0431630i | ||||
\(832\) | −10.1309 | − | 31.1796i | −0.351225 | − | 1.08096i | ||||
\(833\) | −39.4258 | + | 4.98063i | −1.36602 | + | 0.172569i | ||||
\(834\) | 15.9850 | − | 25.1884i | 0.553516 | − | 0.872202i | ||||
\(835\) | −3.45630 | + | 12.0052i | −0.119610 | + | 0.415458i | ||||
\(836\) | 30.8355 | + | 12.2086i | 1.06647 | + | 0.422245i | ||||
\(837\) | −0.000474313 | 0 | 0.000747398i | −1.63947e−5 | 0 | 2.58339e-5i | ||||
\(838\) | −21.9621 | + | 8.69540i | −0.758667 | + | 0.300377i | ||||
\(839\) | −2.96801 | + | 47.1751i | −0.102467 | + | 1.62867i | 0.525758 | + | 0.850634i | \(0.323782\pi\) |
−0.628225 | + | 0.778032i | \(0.716218\pi\) | |||||||
\(840\) | −2.84007 | − | 0.261519i | −0.0979918 | − | 0.00902326i | ||||
\(841\) | −4.57033 | − | 5.52458i | −0.157597 | − | 0.190503i | ||||
\(842\) | 36.1378 | − | 33.9357i | 1.24539 | − | 1.16950i | ||||
\(843\) | −3.95106 | + | 12.1601i | −0.136082 | + | 0.418817i | ||||
\(844\) | 2.91959 | − | 15.3050i | 0.100496 | − | 0.526821i | ||||
\(845\) | −5.16210 | + | 4.02422i | −0.177581 | + | 0.138437i | ||||
\(846\) | 17.9277 | − | 38.0983i | 0.616368 | − | 1.30985i | ||||
\(847\) | −0.182397 | + | 0.387614i | −0.00626724 | + | 0.0133186i | ||||
\(848\) | 7.28974 | + | 2.88621i | 0.250331 | + | 0.0991129i | ||||
\(849\) | −62.5687 | + | 45.4588i | −2.14735 | + | 1.56014i | ||||
\(850\) | 7.78479 | − | 64.1224i | 0.267016 | − | 2.19938i | ||||
\(851\) | −31.9545 | − | 23.2163i | −1.09539 | − | 0.795845i | ||||
\(852\) | 15.5873 | + | 24.5616i | 0.534011 | + | 0.841467i | ||||
\(853\) | −0.736574 | − | 3.86126i | −0.0252198 | − | 0.132207i | 0.967451 | − | 0.253060i | \(-0.0814370\pi\) |
−0.992670 | + | 0.120853i | \(0.961437\pi\) | |||||||
\(854\) | −15.7601 | − | 14.7997i | −0.539299 | − | 0.506435i | ||||
\(855\) | −15.1733 | + | 25.7992i | −0.518915 | + | 0.882313i | ||||
\(856\) | 12.3303 | − | 1.55768i | 0.421441 | − | 0.0532404i | ||||
\(857\) | −24.1520 | + | 17.5475i | −0.825017 | + | 0.599410i | −0.918145 | − | 0.396244i | \(-0.870313\pi\) |
0.0931279 | + | 0.995654i | \(0.470313\pi\) | |||||||
\(858\) | 9.81178 | − | 51.4351i | 0.334969 | − | 1.75597i | ||||
\(859\) | 35.8707 | − | 14.2022i | 1.22389 | − | 0.484574i | 0.334796 | − | 0.942291i | \(-0.391333\pi\) |
0.889098 | + | 0.457717i | \(0.151333\pi\) | |||||||
\(860\) | −2.86289 | − | 29.5220i | −0.0976238 | − | 1.00669i | ||||
\(861\) | 21.4266 | − | 5.50141i | 0.730216 | − | 0.187488i | ||||
\(862\) | −47.1166 | − | 12.0975i | −1.60480 | − | 0.412042i | ||||
\(863\) | 0.368155 | + | 5.85166i | 0.0125322 | + | 0.199193i | 0.999311 | + | 0.0371194i | \(0.0118182\pi\) |
−0.986779 | + | 0.162074i | \(0.948182\pi\) | |||||||
\(864\) | 0.359143 | − | 0.434129i | 0.0122183 | − | 0.0147694i | ||||
\(865\) | −4.97097 | + | 31.8857i | −0.169018 | + | 1.08415i | ||||
\(866\) | −52.2518 | − | 13.4160i | −1.77559 | − | 0.455893i | ||||
\(867\) | 46.5212 | + | 25.5753i | 1.57994 | + | 0.868582i | ||||
\(868\) | −0.0185979 | − | 0.0135122i | −0.000631255 | − | 0.000458633i | ||||
\(869\) | 4.31090 | − | 4.04820i | 0.146237 | − | 0.137326i | ||||
\(870\) | −68.3476 | − | 6.29357i | −2.31720 | − | 0.213372i | ||||
\(871\) | −5.54175 | − | 29.0509i | −0.187775 | − | 0.984351i | ||||
\(872\) | −3.45074 | − | 0.435930i | −0.116857 | − | 0.0147625i | ||||
\(873\) | −3.52522 | + | 4.26126i | −0.119311 | + | 0.144222i | ||||
\(874\) | −49.3060 | −1.66780 | ||||||||
\(875\) | −8.37247 | − | 2.36652i | −0.283041 | − | 0.0800029i | ||||
\(876\) | 57.5817 | 1.94551 | ||||||||
\(877\) | 3.40800 | − | 4.11957i | 0.115080 | − | 0.139108i | −0.709828 | − | 0.704376i | \(-0.751227\pi\) |
0.824908 | + | 0.565268i | \(0.191227\pi\) | |||||||
\(878\) | −8.15831 | − | 1.03063i | −0.275330 | − | 0.0347822i | ||||
\(879\) | 1.04222 | + | 5.46348i | 0.0351531 | + | 0.184279i | ||||
\(880\) | −17.6841 | − | 15.5145i | −0.596129 | − | 0.522995i | ||||
\(881\) | −10.9723 | + | 10.3037i | −0.369666 | + | 0.347139i | −0.847010 | − | 0.531577i | \(-0.821600\pi\) |
0.477344 | + | 0.878717i | \(0.341600\pi\) | |||||||
\(882\) | 32.5657 | + | 23.6604i | 1.09654 | + | 0.796686i | ||||
\(883\) | −36.0582 | − | 19.8232i | −1.21345 | − | 0.667102i | −0.259121 | − | 0.965845i | \(-0.583433\pi\) |
−0.954334 | + | 0.298743i | \(0.903433\pi\) | |||||||
\(884\) | −44.3436 | − | 11.3855i | −1.49144 | − | 0.382936i | ||||
\(885\) | −7.69319 | − | 3.89641i | −0.258604 | − | 0.130976i | ||||
\(886\) | −15.3495 | + | 18.5544i | −0.515676 | + | 0.623346i | ||||
\(887\) | −0.231751 | − | 3.68358i | −0.00778145 | − | 0.123683i | 0.992218 | − | 0.124511i | \(-0.0397363\pi\) |
−1.00000 | 0.000828554i | \(0.999736\pi\) | ||||||||
\(888\) | −11.6849 | − | 3.00016i | −0.392118 | − | 0.100679i | ||||
\(889\) | −5.20458 | + | 1.33631i | −0.174556 | + | 0.0448184i | ||||
\(890\) | 17.2872 | − | 7.53066i | 0.579468 | − | 0.252428i | ||||
\(891\) | −26.7923 | + | 10.6078i | −0.897575 | + | 0.355375i | ||||
\(892\) | −2.38852 | + | 12.5211i | −0.0799735 | + | 0.419236i | ||||
\(893\) | 23.9177 | − | 17.3772i | 0.800376 | − | 0.581507i | ||||
\(894\) | 93.6277 | − | 11.8279i | 3.13138 | − | 0.395585i | ||||
\(895\) | 0.330240 | + | 3.40542i | 0.0110387 | + | 0.113831i | ||||
\(896\) | 2.99049 | + | 2.80826i | 0.0999054 | + | 0.0938174i | ||||
\(897\) | 7.83569 | + | 41.0761i | 0.261626 | + | 1.37149i | ||||
\(898\) | −27.5893 | − | 43.4738i | −0.920667 | − | 1.45074i | ||||
\(899\) | −0.0619226 | − | 0.0449894i | −0.00206523 | − | 0.00150048i | ||||
\(900\) | −26.9714 | + | 22.5339i | −0.899046 | + | 0.751129i | ||||
\(901\) | 12.1119 | − | 8.79980i | 0.403505 | − | 0.293164i | ||||
\(902\) | −72.3360 | − | 28.6398i | −2.40853 | − | 0.953603i | ||||
\(903\) | 4.64905 | − | 9.87973i | 0.154711 | − | 0.328777i | ||||
\(904\) | −2.80203 | + | 5.95462i | −0.0931941 | + | 0.198048i | ||||
\(905\) | −8.77073 | + | 0.296922i | −0.291549 | + | 0.00987001i | ||||
\(906\) | 19.0296 | − | 99.7565i | 0.632215 | − | 3.31419i | ||||
\(907\) | −17.0598 | + | 52.5047i | −0.566462 | + | 1.74339i | 0.0971061 | + | 0.995274i | \(0.469041\pi\) |
−0.663568 | + | 0.748116i | \(0.730959\pi\) | |||||||
\(908\) | 30.5221 | − | 28.6622i | 1.01291 | − | 0.951188i | ||||
\(909\) | −0.577739 | − | 0.698366i | −0.0191624 | − | 0.0231633i | ||||
\(910\) | −4.53377 | + | 10.5470i | −0.150293 | + | 0.349630i | ||||
\(911\) | −0.324565 | + | 5.15882i | −0.0107533 | + | 0.170919i | 0.988984 | + | 0.148020i | \(0.0472899\pi\) |
−0.999738 | + | 0.0228998i | \(0.992710\pi\) | |||||||
\(912\) | 32.8396 | − | 13.0021i | 1.08743 | − | 0.430543i | ||||
\(913\) | 6.74511 | − | 10.6286i | 0.223231 | − | 0.351755i | ||||
\(914\) | 30.0514 | + | 11.8982i | 0.994013 | + | 0.393558i | ||||
\(915\) | −73.3325 | + | 2.48258i | −2.42430 | + | 0.0820715i | ||||
\(916\) | 19.4411 | − | 30.6342i | 0.642351 | − | 1.01218i | ||||
\(917\) | −4.71647 | + | 0.595828i | −0.155751 | + | 0.0196760i | ||||
\(918\) | −0.277666 | − | 0.854568i | −0.00916435 | − | 0.0282050i | ||||
\(919\) | 34.5276 | + | 18.9817i | 1.13896 | + | 0.626148i | 0.935637 | − | 0.352964i | \(-0.114826\pi\) |
0.203322 | + | 0.979112i | \(0.434826\pi\) | |||||||
\(920\) | −7.54336 | − | 2.69513i | −0.248697 | − | 0.0888558i | ||||
\(921\) | 46.0493 | + | 5.81738i | 1.51738 | + | 0.191689i | ||||
\(922\) | 33.6431 | − | 18.4955i | 1.10798 | − | 0.609116i | ||||
\(923\) | 15.6913 | − | 4.02884i | 0.516485 | − | 0.132611i | ||||
\(924\) | 4.43015 | + | 13.6346i | 0.145741 | + | 0.448546i | ||||
\(925\) | −33.3748 | − | 15.5077i | −1.09736 | − | 0.509891i | ||||
\(926\) | 5.59079 | − | 17.2067i | 0.183725 | − | 0.565447i | ||||
\(927\) | −3.04239 | + | 48.3575i | −0.0999253 | + | 1.58827i | ||||
\(928\) | 35.5139 | + | 33.3498i | 1.16580 | + | 1.09476i | ||||
\(929\) | 23.2303 | − | 12.7709i | 0.762160 | − | 0.419001i | −0.0527356 | − | 0.998609i | \(-0.516794\pi\) |
0.814896 | + | 0.579607i | \(0.196794\pi\) | |||||||
\(930\) | −0.143401 | + | 0.0230690i | −0.00470230 | + | 0.000756463i | ||||
\(931\) | 12.0340 | + | 25.5735i | 0.394397 | + | 0.838137i | ||||
\(932\) | 43.7339 | 1.43255 | ||||||||
\(933\) | 15.3139 | + | 32.5436i | 0.501353 | + | 1.06543i | ||||
\(934\) | 5.05502 | + | 80.3472i | 0.165405 | + | 2.62904i | ||||
\(935\) | −43.1070 | + | 12.6372i | −1.40975 | + | 0.413279i | ||||
\(936\) | 3.43790 | + | 5.41727i | 0.112371 | + | 0.177069i | ||||
\(937\) | −0.315613 | − | 0.381511i | −0.0103106 | − | 0.0124634i | 0.765333 | − | 0.643635i | \(-0.222574\pi\) |
−0.775643 | + | 0.631171i | \(0.782574\pi\) | |||||||
\(938\) | 9.60862 | + | 11.6148i | 0.313733 | + | 0.379238i | ||||
\(939\) | −11.2481 | − | 17.7241i | −0.367067 | − | 0.578405i | ||||
\(940\) | 33.3136 | − | 9.76614i | 1.08657 | − | 0.318536i | ||||
\(941\) | −3.61488 | − | 57.4569i | −0.117842 | − | 1.87304i | −0.403863 | − | 0.914820i | \(-0.632333\pi\) |
0.286021 | − | 0.958223i | \(-0.407667\pi\) | |||||||
\(942\) | 2.93040 | + | 6.22742i | 0.0954776 | + | 0.202900i | ||||
\(943\) | 62.1306 | 2.02325 | ||||||||
\(944\) | 2.17665 | + | 4.62562i | 0.0708440 | + | 0.150551i | ||||
\(945\) | −0.119495 | + | 0.0192233i | −0.00388717 | + | 0.000625333i | ||||
\(946\) | −33.6508 | + | 18.4997i | −1.09408 | + | 0.601476i | ||||
\(947\) | −22.0805 | − | 20.7350i | −0.717519 | − | 0.673796i | 0.237147 | − | 0.971474i | \(-0.423788\pi\) |
−0.954666 | + | 0.297678i | \(0.903788\pi\) | |||||||
\(948\) | −0.654642 | + | 10.4052i | −0.0212618 | + | 0.337946i | ||||
\(949\) | 9.90931 | − | 30.4977i | 0.321670 | − | 0.989998i | ||||
\(950\) | −45.0842 | + | 8.82708i | −1.46272 | + | 0.286388i | ||||
\(951\) | −4.69430 | − | 14.4476i | −0.152223 | − | 0.468495i | ||||
\(952\) | 3.12704 | − | 0.802888i | 0.101348 | − | 0.0260217i | ||||
\(953\) | 34.9205 | − | 19.1977i | 1.13118 | − | 0.621874i | 0.197619 | − | 0.980279i | \(-0.436679\pi\) |
0.933566 | + | 0.358405i | \(0.116679\pi\) | |||||||
\(954\) | −15.0453 | − | 1.90066i | −0.487109 | − | 0.0615362i | ||||
\(955\) | −35.4961 | − | 12.6822i | −1.14863 | − | 0.410388i | ||||
\(956\) | 14.1855 | + | 7.79854i | 0.458792 | + | 0.252223i | ||||
\(957\) | 14.7504 | + | 45.3970i | 0.476812 | + | 1.46748i | ||||
\(958\) | −45.7691 | + | 5.78198i | −1.47873 | + | 0.186807i | ||||
\(959\) | −5.62249 | + | 8.85962i | −0.181560 | + | 0.286092i | ||||
\(960\) | 56.6792 | − | 1.91880i | 1.82931 | − | 0.0619290i | ||||
\(961\) | 28.8229 | + | 11.4118i | 0.929772 | + | 0.368123i | ||||
\(962\) | −26.0194 | + | 41.0000i | −0.838899 | + | 1.32189i | ||||
\(963\) | 52.4207 | − | 20.7548i | 1.68923 | − | 0.668815i | ||||
\(964\) | 2.80431 | − | 44.5732i | 0.0903207 | − | 1.43561i | ||||
\(965\) | −5.55994 | + | 12.9342i | −0.178981 | + | 0.416367i | ||||
\(966\) | −13.5860 | − | 16.4227i | −0.437123 | − | 0.528390i | ||||
\(967\) | −36.8089 | + | 34.5659i | −1.18369 | + | 1.11156i | −0.192208 | + | 0.981354i | \(0.561565\pi\) |
−0.991487 | + | 0.130209i | \(0.958435\pi\) | |||||||
\(968\) | −0.113558 | + | 0.349495i | −0.00364989 | + | 0.0112332i | ||||
\(969\) | 12.6376 | − | 66.2489i | 0.405980 | − | 2.12822i | ||||
\(970\) | −8.48379 | + | 0.287208i | −0.272398 | + | 0.00922169i | ||||
\(971\) | 8.63645 | − | 18.3534i | 0.277157 | − | 0.588988i | −0.716983 | − | 0.697091i | \(-0.754477\pi\) |
0.994140 | + | 0.108103i | \(0.0344775\pi\) | |||||||
\(972\) | 21.8367 | − | 46.4054i | 0.700414 | − | 1.48845i | ||||
\(973\) | 4.22921 | + | 1.67446i | 0.135582 | + | 0.0536808i | ||||
\(974\) | 20.6460 | − | 15.0002i | 0.661540 | − | 0.480637i | ||||
\(975\) | 14.5185 | + | 36.1562i | 0.464964 | + | 1.15793i | ||||
\(976\) | 35.1898 | + | 25.5669i | 1.12640 | + | 0.818375i | ||||
\(977\) | 11.0930 | + | 17.4798i | 0.354897 | + | 0.559228i | 0.974133 | − | 0.225977i | \(-0.0725575\pi\) |
−0.619236 | + | 0.785205i | \(0.712558\pi\) | |||||||
\(978\) | 4.19165 | + | 21.9734i | 0.134034 | + | 0.702632i | ||||
\(979\) | −9.55934 | − | 8.97682i | −0.305518 | − | 0.286900i | ||||
\(980\) | 3.20342 | + | 33.0334i | 0.102329 | + | 1.05521i | ||||
\(981\) | −15.6540 | + | 1.97756i | −0.499793 | + | 0.0631386i | ||||
\(982\) | 2.46080 | − | 1.78788i | 0.0785273 | − | 0.0570534i | ||||
\(983\) | −9.32449 | + | 48.8807i | −0.297405 | + | 1.55905i | 0.448983 | + | 0.893540i | \(0.351786\pi\) |
−0.746388 | + | 0.665511i | \(0.768214\pi\) | |||||||
\(984\) | 17.6440 | − | 6.98574i | 0.562469 | − | 0.222697i | ||||
\(985\) | 21.5544 | − | 9.38956i | 0.686782 | − | 0.299176i | ||||
\(986\) | 75.2537 | − | 19.3219i | 2.39657 | − | 0.615333i | ||||
\(987\) | 12.3783 | + | 3.17822i | 0.394007 | + | 0.101164i | ||||
\(988\) | 2.04454 | + | 32.4970i | 0.0650453 | + | 1.03387i | ||||
\(989\) | 19.5478 | − | 23.6292i | 0.621583 | − | 0.751365i | ||||
\(990\) | 40.5930 | + | 20.5593i | 1.29013 | + | 0.653418i | ||||
\(991\) | −50.6629 | − | 13.0080i | −1.60936 | − | 0.413214i | −0.666260 | − | 0.745720i | \(-0.732106\pi\) |
−0.943101 | + | 0.332506i | \(0.892106\pi\) | |||||||
\(992\) | 0.0903417 | + | 0.0496658i | 0.00286835 | + | 0.00157689i | ||||
\(993\) | −36.7418 | − | 26.6944i | −1.16596 | − | 0.847123i | ||||
\(994\) | −6.01926 | + | 5.65246i | −0.190919 | + | 0.179285i | ||||
\(995\) | −16.0553 | − | 14.0856i | −0.508988 | − | 0.446544i | ||||
\(996\) | 4.15855 | + | 21.7999i | 0.131769 | + | 0.690756i | ||||
\(997\) | −39.9545 | − | 5.04743i | −1.26537 | − | 0.159854i | −0.536145 | − | 0.844126i | \(-0.680120\pi\) |
−0.729226 | + | 0.684272i | \(0.760120\pi\) | |||||||
\(998\) | −15.2459 | + | 18.4291i | −0.482600 | + | 0.583364i | ||||
\(999\) | −0.511943 | −0.0161972 |
(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 | 125.2.g.a.71.2 | ✓ | 220 | |
5.2 | odd | 4 | 625.2.h.b.24.4 | 440 | |||
5.3 | odd | 4 | 625.2.h.b.24.19 | 440 | |||
5.4 | even | 2 | 625.2.g.a.601.10 | 220 | |||
125.8 | odd | 100 | 625.2.h.b.599.4 | 440 | |||
125.44 | even | 50 | 625.2.g.a.26.10 | 220 | |||
125.81 | even | 25 | inner | 125.2.g.a.81.2 | yes | 220 | |
125.117 | odd | 100 | 625.2.h.b.599.19 | 440 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
125.2.g.a.71.2 | ✓ | 220 | 1.1 | even | 1 | trivial | |
125.2.g.a.81.2 | yes | 220 | 125.81 | even | 25 | inner | |
625.2.g.a.26.10 | 220 | 125.44 | even | 50 | |||
625.2.g.a.601.10 | 220 | 5.4 | even | 2 | |||
625.2.h.b.24.4 | 440 | 5.2 | odd | 4 | |||
625.2.h.b.24.19 | 440 | 5.3 | odd | 4 | |||
625.2.h.b.599.4 | 440 | 125.8 | odd | 100 | |||
625.2.h.b.599.19 | 440 | 125.117 | odd | 100 |