Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [825,2,Mod(164,825)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(825, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("825.164");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 825 = 3 \cdot 5^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 825.ce (of order \(10\), degree \(4\), 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: | \(6.58765816676\) |
Analytic rank: | \(0\) |
Dimension: | \(448\) |
Relative dimension: | \(112\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 164.13 | ||
Character | \(\chi\) | \(=\) | 825.164 |
Dual form | 825.2.ce.c.659.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/825\mathbb{Z}\right)^\times\).
\(n\) | \(376\) | \(551\) | \(727\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41506 | − | 1.94767i | −1.00060 | − | 1.37721i | −0.924956 | − | 0.380073i | \(-0.875899\pi\) |
−0.0756440 | − | 0.997135i | \(-0.524101\pi\) | |||||||
\(3\) | 1.52148 | + | 0.827705i | 0.878427 | + | 0.477876i | ||||
\(4\) | −1.17297 | + | 3.61003i | −0.586484 | + | 1.80501i | ||||
\(5\) | −1.40120 | − | 1.74259i | −0.626636 | − | 0.779312i | ||||
\(6\) | −0.540897 | − | 4.13459i | −0.220820 | − | 1.68794i | ||||
\(7\) | −4.95869 | −1.87421 | −0.937105 | − | 0.349048i | \(-0.886505\pi\) | ||||
−0.937105 | + | 0.349048i | \(0.886505\pi\) | |||||||
\(8\) | 4.11171 | − | 1.33598i | 1.45371 | − | 0.472339i | ||||
\(9\) | 1.62981 | + | 2.51868i | 0.543270 | + | 0.839558i | ||||
\(10\) | −1.41121 | + | 5.19495i | −0.446263 | + | 1.64279i | ||||
\(11\) | −2.45205 | + | 2.23326i | −0.739321 | + | 0.673353i | ||||
\(12\) | −4.77269 | + | 4.52171i | −1.37776 | + | 1.30531i | ||||
\(13\) | 1.23817 | + | 0.899583i | 0.343407 | + | 0.249500i | 0.746098 | − | 0.665836i | \(-0.231925\pi\) |
−0.402691 | + | 0.915336i | \(0.631925\pi\) | |||||||
\(14\) | 7.01686 | + | 9.65788i | 1.87534 | + | 2.58118i | ||||
\(15\) | −0.689545 | − | 3.81111i | −0.178040 | − | 0.984023i | ||||
\(16\) | −2.27863 | − | 1.65552i | −0.569656 | − | 0.413880i | ||||
\(17\) | 6.05362 | − | 1.96694i | 1.46822 | − | 0.477053i | 0.537648 | − | 0.843169i | \(-0.319313\pi\) |
0.930569 | + | 0.366116i | \(0.119313\pi\) | |||||||
\(18\) | 2.59926 | − | 6.73841i | 0.612651 | − | 1.58826i | ||||
\(19\) | 5.88718 | − | 1.91286i | 1.35061 | − | 0.438840i | 0.457713 | − | 0.889100i | \(-0.348669\pi\) |
0.892898 | + | 0.450260i | \(0.148669\pi\) | |||||||
\(20\) | 7.93438 | − | 3.01436i | 1.77418 | − | 0.674032i | ||||
\(21\) | −7.54456 | − | 4.10434i | −1.64636 | − | 0.895639i | ||||
\(22\) | 7.81945 | + | 1.61557i | 1.66711 | + | 0.344441i | ||||
\(23\) | 2.56531 | − | 1.86381i | 0.534904 | − | 0.388631i | −0.287285 | − | 0.957845i | \(-0.592753\pi\) |
0.822189 | + | 0.569214i | \(0.192753\pi\) | |||||||
\(24\) | 7.36169 | + | 1.37062i | 1.50270 | + | 0.279777i | ||||
\(25\) | −1.07327 | + | 4.88345i | −0.214655 | + | 0.976690i | ||||
\(26\) | − | 3.68451i | − | 0.722592i | ||||||
\(27\) | 0.395002 | + | 5.18112i | 0.0760183 | + | 0.997106i | ||||
\(28\) | 5.81639 | − | 17.9010i | 1.09919 | − | 3.38297i | ||||
\(29\) | −1.69561 | + | 5.21855i | −0.314867 | + | 0.969061i | 0.660942 | + | 0.750437i | \(0.270157\pi\) |
−0.975809 | + | 0.218624i | \(0.929843\pi\) | |||||||
\(30\) | −6.44701 | + | 6.73596i | −1.17706 | + | 1.22981i | ||||
\(31\) | −1.69882 | − | 5.22843i | −0.305117 | − | 0.939053i | −0.979634 | − | 0.200793i | \(-0.935648\pi\) |
0.674517 | − | 0.738259i | \(-0.264352\pi\) | |||||||
\(32\) | − | 1.86596i | − | 0.329858i | ||||||
\(33\) | −5.57923 | + | 1.36829i | −0.971219 | + | 0.238189i | ||||
\(34\) | −12.3972 | − | 9.00708i | −2.12610 | − | 1.54470i | ||||
\(35\) | 6.94812 | + | 8.64099i | 1.17445 | + | 1.46059i | ||||
\(36\) | −11.0042 | + | 2.92933i | −1.83403 | + | 0.488221i | ||||
\(37\) | 2.35949 | − | 3.24756i | 0.387898 | − | 0.533896i | −0.569757 | − | 0.821813i | \(-0.692963\pi\) |
0.957655 | + | 0.287917i | \(0.0929627\pi\) | |||||||
\(38\) | −12.0563 | − | 8.75944i | −1.95580 | − | 1.42097i | ||||
\(39\) | 1.13926 | + | 2.39354i | 0.182428 | + | 0.383273i | ||||
\(40\) | −8.08940 | − | 5.29308i | −1.27905 | − | 0.836910i | ||||
\(41\) | 5.61093 | + | 4.07658i | 0.876281 | + | 0.636655i | 0.932265 | − | 0.361777i | \(-0.117830\pi\) |
−0.0559842 | + | 0.998432i | \(0.517830\pi\) | |||||||
\(42\) | 2.68214 | + | 20.5022i | 0.413864 | + | 3.16355i | ||||
\(43\) | 5.17232 | 0.788772 | 0.394386 | − | 0.918945i | \(-0.370957\pi\) | ||||
0.394386 | + | 0.918945i | \(0.370957\pi\) | |||||||
\(44\) | −5.18595 | − | 11.4715i | −0.781812 | − | 1.72940i | ||||
\(45\) | 2.10534 | − | 6.36926i | 0.313846 | − | 0.949474i | ||||
\(46\) | −7.26015 | − | 2.35897i | −1.07045 | − | 0.347811i | ||||
\(47\) | 0.454147 | − | 1.39772i | 0.0662441 | − | 0.203878i | −0.912456 | − | 0.409176i | \(-0.865816\pi\) |
0.978700 | + | 0.205298i | \(0.0658162\pi\) | |||||||
\(48\) | −2.09660 | − | 4.40487i | −0.302619 | − | 0.635788i | ||||
\(49\) | 17.5886 | 2.51266 | ||||||||
\(50\) | 11.0301 | − | 4.82001i | 1.55989 | − | 0.681652i | ||||
\(51\) | 10.8385 | + | 2.01795i | 1.51769 | + | 0.282569i | ||||
\(52\) | −4.69986 | + | 3.41465i | −0.651753 | + | 0.473526i | ||||
\(53\) | 0.0394584 | − | 0.121441i | 0.00542003 | − | 0.0166811i | −0.948310 | − | 0.317346i | \(-0.897208\pi\) |
0.953730 | + | 0.300665i | \(0.0972085\pi\) | |||||||
\(54\) | 9.53213 | − | 8.10094i | 1.29716 | − | 1.10240i | ||||
\(55\) | 7.32748 | + | 1.14368i | 0.988037 | + | 0.154214i | ||||
\(56\) | −20.3887 | + | 6.62470i | −2.72456 | + | 0.885263i | ||||
\(57\) | 10.5405 | + | 1.96247i | 1.39612 | + | 0.259935i | ||||
\(58\) | 12.5634 | − | 4.08209i | 1.64965 | − | 0.536005i | ||||
\(59\) | −5.93388 | + | 8.16728i | −0.772525 | + | 1.06329i | 0.223543 | + | 0.974694i | \(0.428238\pi\) |
−0.996068 | + | 0.0885951i | \(0.971762\pi\) | |||||||
\(60\) | 14.5670 | + | 1.98103i | 1.88059 | + | 0.255750i | ||||
\(61\) | 4.74234 | + | 6.52728i | 0.607195 | + | 0.835732i | 0.996343 | − | 0.0854432i | \(-0.0272306\pi\) |
−0.389148 | + | 0.921175i | \(0.627231\pi\) | |||||||
\(62\) | −7.77929 | + | 10.7073i | −0.987971 | + | 1.35983i | ||||
\(63\) | −8.08172 | − | 12.4893i | −1.01820 | − | 1.57351i | ||||
\(64\) | −8.19152 | + | 5.95149i | −1.02394 | + | 0.743936i | ||||
\(65\) | −0.167315 | − | 3.41813i | −0.0207529 | − | 0.423966i | ||||
\(66\) | 10.5599 | + | 8.93026i | 1.29984 | + | 1.09924i | ||||
\(67\) | −2.20602 | + | 0.716780i | −0.269508 | + | 0.0875686i | −0.440654 | − | 0.897677i | \(-0.645253\pi\) |
0.171145 | + | 0.985246i | \(0.445253\pi\) | |||||||
\(68\) | 24.1609i | 2.92994i | ||||||||
\(69\) | 5.44576 | − | 0.712427i | 0.655592 | − | 0.0857661i | ||||
\(70\) | 6.99774 | − | 25.7602i | 0.836390 | − | 3.07893i | ||||
\(71\) | −0.895057 | − | 0.290822i | −0.106224 | − | 0.0345142i | 0.255423 | − | 0.966829i | \(-0.417785\pi\) |
−0.361647 | + | 0.932315i | \(0.617785\pi\) | |||||||
\(72\) | 10.0662 | + | 8.17869i | 1.18631 | + | 0.963867i | ||||
\(73\) | −0.580929 | + | 0.422069i | −0.0679925 | + | 0.0493995i | −0.621262 | − | 0.783603i | \(-0.713380\pi\) |
0.553270 | + | 0.833002i | \(0.313380\pi\) | |||||||
\(74\) | −9.66400 | −1.12342 | ||||||||
\(75\) | −5.67502 | + | 6.54172i | −0.655295 | + | 0.755373i | ||||
\(76\) | 23.4966i | 2.69524i | ||||||||
\(77\) | 12.1590 | − | 11.0741i | 1.38564 | − | 1.26201i | ||||
\(78\) | 3.04969 | − | 5.60591i | 0.345309 | − | 0.634744i | ||||
\(79\) | 6.95785 | + | 2.26074i | 0.782819 | + | 0.254353i | 0.673043 | − | 0.739603i | \(-0.264987\pi\) |
0.109776 | + | 0.993956i | \(0.464987\pi\) | |||||||
\(80\) | 0.307913 | + | 6.29043i | 0.0344258 | + | 0.703292i | ||||
\(81\) | −3.68745 | + | 8.20992i | −0.409716 | + | 0.912213i | ||||
\(82\) | − | 16.6968i | − | 1.84386i | ||||||
\(83\) | −5.58872 | + | 1.81588i | −0.613441 | + | 0.199319i | −0.599226 | − | 0.800580i | \(-0.704525\pi\) |
−0.0142151 | + | 0.999899i | \(0.504525\pi\) | |||||||
\(84\) | 23.6663 | − | 22.4218i | 2.58220 | − | 2.44642i | ||||
\(85\) | −11.9099 | − | 7.79292i | −1.29181 | − | 0.845261i | ||||
\(86\) | −7.31916 | − | 10.0740i | −0.789245 | − | 1.08630i | ||||
\(87\) | −6.89926 | + | 6.53646i | −0.739679 | + | 0.700782i | ||||
\(88\) | −7.09854 | + | 12.4584i | −0.756707 | + | 1.32807i | ||||
\(89\) | 7.28816 | + | 10.0313i | 0.772543 | + | 1.06331i | 0.996066 | + | 0.0886160i | \(0.0282444\pi\) |
−0.223522 | + | 0.974699i | \(0.571756\pi\) | |||||||
\(90\) | −15.3844 | + | 4.91240i | −1.62166 | + | 0.517813i | ||||
\(91\) | −6.13971 | − | 4.46076i | −0.643616 | − | 0.467615i | ||||
\(92\) | 3.71937 | + | 11.4470i | 0.387771 | + | 1.19344i | ||||
\(93\) | 1.74287 | − | 9.36107i | 0.180728 | − | 0.970698i | ||||
\(94\) | −3.36494 | + | 1.09333i | −0.347067 | + | 0.112769i | ||||
\(95\) | −11.5825 | − | 7.57867i | −1.18833 | − | 0.777555i | ||||
\(96\) | 1.54446 | − | 2.83902i | 0.157631 | − | 0.289756i | ||||
\(97\) | −0.273258 | − | 0.0887869i | −0.0277452 | − | 0.00901495i | 0.295112 | − | 0.955463i | \(-0.404643\pi\) |
−0.322857 | + | 0.946448i | \(0.604643\pi\) | |||||||
\(98\) | −24.8890 | − | 34.2568i | −2.51417 | − | 3.46046i | ||||
\(99\) | −9.62123 | − | 2.53613i | −0.966970 | − | 0.254891i | ||||
\(100\) | −16.3705 | − | 9.60268i | −1.63705 | − | 0.960268i | ||||
\(101\) | 1.98348 | 0.197364 | 0.0986820 | − | 0.995119i | \(-0.468537\pi\) | ||||
0.0986820 | + | 0.995119i | \(0.468537\pi\) | |||||||
\(102\) | −11.4069 | − | 23.9653i | −1.12945 | − | 2.37292i | ||||
\(103\) | 8.93362 | + | 2.90271i | 0.880256 | + | 0.286012i | 0.714063 | − | 0.700081i | \(-0.246853\pi\) |
0.166192 | + | 0.986093i | \(0.446853\pi\) | |||||||
\(104\) | 6.29283 | + | 2.04466i | 0.617062 | + | 0.200496i | ||||
\(105\) | 3.41924 | + | 18.8981i | 0.333684 | + | 1.84427i | ||||
\(106\) | −0.292362 | + | 0.0949941i | −0.0283967 | + | 0.00922664i | ||||
\(107\) | − | 6.60289i | − | 0.638325i | −0.947700 | − | 0.319163i | \(-0.896598\pi\) | ||
0.947700 | − | 0.319163i | \(-0.103402\pi\) | |||||||
\(108\) | −19.1673 | − | 4.65132i | −1.84437 | − | 0.447573i | ||||
\(109\) | −11.0040 | + | 15.1458i | −1.05400 | + | 1.45070i | −0.168704 | + | 0.985667i | \(0.553958\pi\) |
−0.885292 | + | 0.465035i | \(0.846042\pi\) | |||||||
\(110\) | −8.14133 | − | 15.8899i | −0.776245 | − | 1.51504i | ||||
\(111\) | 6.27795 | − | 2.98814i | 0.595876 | − | 0.283622i | ||||
\(112\) | 11.2990 | + | 8.20921i | 1.06766 | + | 0.775697i | ||||
\(113\) | 7.30886 | + | 5.31020i | 0.687560 | + | 0.499542i | 0.875857 | − | 0.482570i | \(-0.160297\pi\) |
−0.188297 | + | 0.982112i | \(0.560297\pi\) | |||||||
\(114\) | −11.0933 | − | 23.3064i | −1.03898 | − | 2.18285i | ||||
\(115\) | −6.84238 | − | 1.85873i | −0.638055 | − | 0.173327i | ||||
\(116\) | −16.8502 | − | 12.2424i | −1.56450 | − | 1.13668i | ||||
\(117\) | −0.247778 | + | 4.58470i | −0.0229071 | + | 0.423855i | ||||
\(118\) | 24.3039 | 2.23736 | ||||||||
\(119\) | −30.0180 | + | 9.75345i | −2.75175 | + | 0.894097i | ||||
\(120\) | −7.92676 | − | 14.7490i | −0.723611 | − | 1.34639i | ||||
\(121\) | 1.02510 | − | 10.9521i | 0.0931906 | − | 0.995648i | ||||
\(122\) | 6.00224 | − | 18.4730i | 0.543418 | − | 1.67247i | ||||
\(123\) | 5.16272 | + | 10.8466i | 0.465507 | + | 0.978009i | ||||
\(124\) | 20.8674 | 1.87395 | ||||||||
\(125\) | 10.0137 | − | 4.97241i | 0.895657 | − | 0.444746i | ||||
\(126\) | −12.8889 | + | 33.4137i | −1.14824 | + | 2.97673i | ||||
\(127\) | −2.64477 | + | 1.92154i | −0.234686 | + | 0.170509i | −0.698912 | − | 0.715207i | \(-0.746332\pi\) |
0.464227 | + | 0.885716i | \(0.346332\pi\) | |||||||
\(128\) | 19.6338 | + | 6.37939i | 1.73540 | + | 0.563864i | ||||
\(129\) | 7.86959 | + | 4.28116i | 0.692879 | + | 0.376935i | ||||
\(130\) | −6.42061 | + | 5.16274i | −0.563125 | + | 0.452802i | ||||
\(131\) | −0.610305 | − | 1.87833i | −0.0533226 | − | 0.164110i | 0.920849 | − | 0.389920i | \(-0.127497\pi\) |
−0.974171 | + | 0.225810i | \(0.927497\pi\) | |||||||
\(132\) | 1.60470 | − | 21.7461i | 0.139671 | − | 1.89276i | ||||
\(133\) | −29.1927 | + | 9.48529i | −2.53133 | + | 0.822479i | ||||
\(134\) | 4.51771 | + | 3.28231i | 0.390270 | + | 0.283548i | ||||
\(135\) | 8.47511 | − | 7.94811i | 0.729421 | − | 0.684065i | ||||
\(136\) | 22.2630 | − | 16.1750i | 1.90903 | − | 1.38699i | ||||
\(137\) | 11.3535 | + | 8.24883i | 0.969999 | + | 0.704745i | 0.955451 | − | 0.295149i | \(-0.0953692\pi\) |
0.0145476 | + | 0.999894i | \(0.495369\pi\) | |||||||
\(138\) | −9.09365 | − | 9.59839i | −0.774103 | − | 0.817069i | ||||
\(139\) | −6.98918 | − | 9.61978i | −0.592814 | − | 0.815939i | 0.402212 | − | 0.915546i | \(-0.368241\pi\) |
−0.995027 | + | 0.0996074i | \(0.968241\pi\) | |||||||
\(140\) | −39.3442 | + | 14.9473i | −3.32519 | + | 1.26328i | ||||
\(141\) | 1.84787 | − | 1.75070i | 0.155619 | − | 0.147436i | ||||
\(142\) | 0.700138 | + | 2.15480i | 0.0587543 | + | 0.180827i | ||||
\(143\) | −5.04506 | + | 0.559333i | −0.421889 | + | 0.0467738i | ||||
\(144\) | 0.455989 | − | 8.43729i | 0.0379991 | − | 0.703108i | ||||
\(145\) | 11.4697 | − | 4.35748i | 0.952508 | − | 0.361869i | ||||
\(146\) | 1.64410 | + | 0.534201i | 0.136067 | + | 0.0442108i | ||||
\(147\) | 26.7608 | + | 14.5582i | 2.20719 | + | 1.20074i | ||||
\(148\) | 8.95618 | + | 12.3271i | 0.736193 | + | 1.01328i | ||||
\(149\) | 9.44426 | 0.773704 | 0.386852 | − | 0.922142i | \(-0.373563\pi\) | ||||
0.386852 | + | 0.922142i | \(0.373563\pi\) | |||||||
\(150\) | 20.7716 | + | 1.79611i | 1.69599 | + | 0.146651i | ||||
\(151\) | − | 11.4106i | − | 0.928583i | −0.885682 | − | 0.464292i | \(-0.846309\pi\) | ||
0.885682 | − | 0.464292i | \(-0.153691\pi\) | |||||||
\(152\) | 21.6509 | − | 15.7303i | 1.75612 | − | 1.27589i | ||||
\(153\) | 14.8203 | + | 12.0414i | 1.19815 | + | 0.973486i | ||||
\(154\) | −38.7743 | − | 8.01113i | −3.12452 | − | 0.645555i | ||||
\(155\) | −6.73064 | + | 10.2864i | −0.540618 | + | 0.826225i | ||||
\(156\) | −9.97706 | + | 1.30522i | −0.798804 | + | 0.104501i | ||||
\(157\) | − | 11.7814i | − | 0.940254i | −0.882599 | − | 0.470127i | \(-0.844208\pi\) | ||
0.882599 | − | 0.470127i | \(-0.155792\pi\) | |||||||
\(158\) | −5.44262 | − | 16.7507i | −0.432991 | − | 1.33261i | ||||
\(159\) | 0.160552 | − | 0.152109i | 0.0127326 | − | 0.0120631i | ||||
\(160\) | −3.25161 | + | 2.61458i | −0.257062 | + | 0.206701i | ||||
\(161\) | −12.7206 | + | 9.24205i | −1.00252 | + | 0.728376i | ||||
\(162\) | 21.2081 | − | 4.43563i | 1.66627 | − | 0.348496i | ||||
\(163\) | 5.84606 | − | 8.04642i | 0.457899 | − | 0.630244i | −0.516172 | − | 0.856485i | \(-0.672644\pi\) |
0.974071 | + | 0.226241i | \(0.0726436\pi\) | |||||||
\(164\) | −21.2980 | + | 15.4739i | −1.66310 | + | 1.20831i | ||||
\(165\) | 10.2020 | + | 7.80509i | 0.794224 | + | 0.607625i | ||||
\(166\) | 11.4451 | + | 8.31537i | 0.888313 | + | 0.645398i | ||||
\(167\) | 6.72985 | − | 2.18666i | 0.520772 | − | 0.169209i | −0.0368238 | − | 0.999322i | \(-0.511724\pi\) |
0.557596 | + | 0.830113i | \(0.311724\pi\) | |||||||
\(168\) | −36.5044 | − | 6.79650i | −2.81637 | − | 0.524361i | ||||
\(169\) | −3.29341 | − | 10.1361i | −0.253339 | − | 0.779697i | ||||
\(170\) | 1.67525 | + | 34.2240i | 0.128486 | + | 2.62486i | ||||
\(171\) | 14.4128 | + | 11.7103i | 1.10218 | + | 0.895508i | ||||
\(172\) | −6.06697 | + | 18.6722i | −0.462602 | + | 1.42374i | ||||
\(173\) | −2.93809 | − | 4.04393i | −0.223378 | − | 0.307454i | 0.682588 | − | 0.730803i | \(-0.260854\pi\) |
−0.905967 | + | 0.423349i | \(0.860854\pi\) | |||||||
\(174\) | 22.4937 | + | 4.18796i | 1.70525 | + | 0.317488i | ||||
\(175\) | 5.32204 | − | 24.2155i | 0.402308 | − | 1.83052i | ||||
\(176\) | 9.28451 | − | 1.02935i | 0.699846 | − | 0.0775902i | ||||
\(177\) | −15.7884 | + | 7.51486i | −1.18673 | + | 0.564851i | ||||
\(178\) | 9.22441 | − | 28.3898i | 0.691399 | − | 2.12791i | ||||
\(179\) | −0.918859 | − | 0.298555i | −0.0686787 | − | 0.0223151i | 0.274476 | − | 0.961594i | \(-0.411496\pi\) |
−0.343155 | + | 0.939279i | \(0.611496\pi\) | |||||||
\(180\) | 20.5237 | + | 15.0713i | 1.52975 | + | 1.12335i | ||||
\(181\) | 2.96477 | + | 9.12462i | 0.220369 | + | 0.678227i | 0.998729 | + | 0.0504082i | \(0.0160522\pi\) |
−0.778359 | + | 0.627819i | \(0.783948\pi\) | |||||||
\(182\) | 18.2704i | 1.35429i | ||||||||
\(183\) | 1.81273 | + | 13.8564i | 0.134001 | + | 1.02429i | ||||
\(184\) | 8.05782 | − | 11.0906i | 0.594031 | − | 0.817613i | ||||
\(185\) | −8.96531 | + | 0.438847i | −0.659143 | + | 0.0322647i | ||||
\(186\) | −20.6985 | + | 9.85196i | −1.51769 | + | 0.722381i | ||||
\(187\) | −10.4511 | + | 18.3423i | −0.764259 | + | 1.34132i | ||||
\(188\) | 4.51310 | + | 3.27896i | 0.329152 | + | 0.239143i | ||||
\(189\) | −1.95870 | − | 25.6916i | −0.142474 | − | 1.86879i | ||||
\(190\) | 1.62919 | + | 33.2830i | 0.118194 | + | 2.41461i | ||||
\(191\) | 3.76250 | − | 5.17864i | 0.272245 | − | 0.374713i | −0.650901 | − | 0.759163i | \(-0.725609\pi\) |
0.923146 | + | 0.384449i | \(0.125609\pi\) | |||||||
\(192\) | −17.3893 | + | 2.27491i | −1.25497 | + | 0.164178i | ||||
\(193\) | 1.25848 | 0.0905872 | 0.0452936 | − | 0.998974i | \(-0.485578\pi\) | ||||
0.0452936 | + | 0.998974i | \(0.485578\pi\) | |||||||
\(194\) | 0.213750 | + | 0.657855i | 0.0153464 | + | 0.0472312i | ||||
\(195\) | 2.57463 | − | 5.33910i | 0.184373 | − | 0.382341i | ||||
\(196\) | −20.6309 | + | 63.4955i | −1.47364 | + | 4.53539i | ||||
\(197\) | 4.78931 | + | 1.55614i | 0.341225 | + | 0.110871i | 0.474616 | − | 0.880193i | \(-0.342587\pi\) |
−0.133392 | + | 0.991063i | \(0.542587\pi\) | |||||||
\(198\) | 8.67510 | + | 22.3277i | 0.616513 | + | 1.58676i | ||||
\(199\) | −7.84120 | −0.555848 | −0.277924 | − | 0.960603i | \(-0.589646\pi\) | ||||
−0.277924 | + | 0.960603i | \(0.589646\pi\) | |||||||
\(200\) | 2.11118 | + | 21.5132i | 0.149283 | + | 1.52121i | ||||
\(201\) | −3.94970 | − | 0.735368i | −0.278590 | − | 0.0518689i | ||||
\(202\) | −2.80675 | − | 3.86317i | −0.197483 | − | 0.271811i | ||||
\(203\) | 8.40801 | − | 25.8772i | 0.590127 | − | 1.81622i | ||||
\(204\) | −19.9981 | + | 36.7603i | −1.40015 | + | 2.57374i | ||||
\(205\) | −0.758212 | − | 15.4897i | −0.0529558 | − | 1.08185i | ||||
\(206\) | −6.98812 | − | 21.5072i | −0.486885 | − | 1.49848i | ||||
\(207\) | 8.87529 | + | 3.42354i | 0.616875 | + | 0.237952i | ||||
\(208\) | −1.33205 | − | 4.09963i | −0.0923610 | − | 0.284258i | ||||
\(209\) | −10.1637 | + | 17.8380i | −0.703041 | + | 1.23388i | ||||
\(210\) | 31.9688 | − | 33.4015i | 2.20605 | − | 2.30493i | ||||
\(211\) | 8.47470 | + | 11.6644i | 0.583422 | + | 0.803012i | 0.994065 | − | 0.108784i | \(-0.0346957\pi\) |
−0.410643 | + | 0.911796i | \(0.634696\pi\) | |||||||
\(212\) | 0.392120 | + | 0.284892i | 0.0269309 | + | 0.0195665i | ||||
\(213\) | −1.12110 | − | 1.18332i | −0.0768163 | − | 0.0810799i | ||||
\(214\) | −12.8602 | + | 9.34350i | −0.879107 | + | 0.638708i | ||||
\(215\) | −7.24746 | − | 9.01326i | −0.494273 | − | 0.614699i | ||||
\(216\) | 8.54599 | + | 20.7756i | 0.581481 | + | 1.41360i | ||||
\(217\) | 8.42392 | + | 25.9262i | 0.571853 | + | 1.75998i | ||||
\(218\) | 45.0703 | 3.05255 | ||||||||
\(219\) | −1.23322 | + | 0.161333i | −0.0833333 | + | 0.0109019i | ||||
\(220\) | −12.7236 | + | 25.1109i | −0.857828 | + | 1.69298i | ||||
\(221\) | 9.26483 | + | 3.01033i | 0.623220 | + | 0.202496i | ||||
\(222\) | −14.7036 | − | 7.99894i | −0.986840 | − | 0.536854i | ||||
\(223\) | −3.27703 | − | 4.51045i | −0.219446 | − | 0.302042i | 0.685073 | − | 0.728474i | \(-0.259770\pi\) |
−0.904519 | + | 0.426432i | \(0.859770\pi\) | |||||||
\(224\) | 9.25272i | 0.618223i | ||||||||
\(225\) | −14.0491 | + | 5.25586i | −0.936604 | + | 0.350391i | ||||
\(226\) | − | 21.7495i | − | 1.44676i | ||||||
\(227\) | 11.2573 | + | 15.4943i | 0.747172 | + | 1.02839i | 0.998174 | + | 0.0604078i | \(0.0192401\pi\) |
−0.251001 | + | 0.967987i | \(0.580760\pi\) | |||||||
\(228\) | −19.4483 | + | 35.7496i | −1.28799 | + | 2.36758i | ||||
\(229\) | −8.27459 | + | 25.4666i | −0.546800 | + | 1.68288i | 0.169870 | + | 0.985467i | \(0.445665\pi\) |
−0.716670 | + | 0.697412i | \(0.754335\pi\) | |||||||
\(230\) | 6.06221 | + | 15.9569i | 0.399730 | + | 1.05217i | ||||
\(231\) | 27.6657 | − | 6.78492i | 1.82027 | − | 0.446415i | ||||
\(232\) | 23.7225i | 1.55746i | ||||||||
\(233\) | −1.23181 | + | 0.400239i | −0.0806985 | + | 0.0262205i | −0.349088 | − | 0.937090i | \(-0.613509\pi\) |
0.268390 | + | 0.963310i | \(0.413509\pi\) | |||||||
\(234\) | 9.28008 | − | 6.00505i | 0.606658 | − | 0.392562i | ||||
\(235\) | −3.07201 | + | 1.16709i | −0.200396 | + | 0.0761327i | ||||
\(236\) | −22.5238 | − | 31.0014i | −1.46618 | − | 2.01802i | ||||
\(237\) | 8.71500 | + | 9.19872i | 0.566100 | + | 0.597521i | ||||
\(238\) | 61.4738 | + | 44.6634i | 3.98476 | + | 2.89510i | ||||
\(239\) | 10.9767 | − | 7.97500i | 0.710021 | − | 0.515860i | −0.173160 | − | 0.984894i | \(-0.555398\pi\) |
0.883180 | + | 0.469034i | \(0.155398\pi\) | |||||||
\(240\) | −4.73814 | + | 9.82564i | −0.305846 | + | 0.634242i | ||||
\(241\) | −9.94988 | + | 13.6948i | −0.640928 | + | 0.882162i | −0.998665 | − | 0.0516604i | \(-0.983549\pi\) |
0.357736 | + | 0.933823i | \(0.383549\pi\) | |||||||
\(242\) | −22.7817 | + | 13.5014i | −1.46446 | + | 0.867903i | ||||
\(243\) | −12.4058 | + | 9.43911i | −0.795831 | + | 0.605519i | ||||
\(244\) | −29.1263 | + | 9.46370i | −1.86462 | + | 0.605851i | ||||
\(245\) | −24.6452 | − | 30.6499i | −1.57452 | − | 1.95815i | ||||
\(246\) | 13.8201 | − | 25.4039i | 0.881135 | − | 1.61970i | ||||
\(247\) | 9.01011 | + | 2.92756i | 0.573299 | + | 0.186276i | ||||
\(248\) | −13.9701 | − | 19.2282i | −0.887103 | − | 1.22099i | ||||
\(249\) | −10.0061 | − | 1.86298i | −0.634113 | − | 0.118061i | ||||
\(250\) | −23.8547 | − | 12.4672i | −1.50870 | − | 0.788493i | ||||
\(251\) | − | 15.0793i | − | 0.951797i | −0.879500 | − | 0.475898i | \(-0.842123\pi\) | ||
0.879500 | − | 0.475898i | \(-0.157877\pi\) | |||||||
\(252\) | 54.5664 | − | 14.5256i | 3.43736 | − | 0.915028i | ||||
\(253\) | −2.12790 | + | 10.2992i | −0.133780 | + | 0.647502i | ||||
\(254\) | 7.48504 | + | 2.43204i | 0.469653 | + | 0.152600i | ||||
\(255\) | −11.6705 | − | 21.7147i | −0.730832 | − | 1.35983i | ||||
\(256\) | −9.10030 | − | 28.0078i | −0.568769 | − | 1.75049i | ||||
\(257\) | −19.6754 | −1.22732 | −0.613658 | − | 0.789572i | \(-0.710303\pi\) | ||||
−0.613658 | + | 0.789572i | \(0.710303\pi\) | |||||||
\(258\) | −2.79769 | − | 21.3854i | −0.174177 | − | 1.33140i | ||||
\(259\) | −11.7000 | + | 16.1037i | −0.727003 | + | 1.00063i | ||||
\(260\) | 12.5358 | + | 3.40534i | 0.777436 | + | 0.211190i | ||||
\(261\) | −15.9074 | + | 4.23455i | −0.984641 | + | 0.262112i | ||||
\(262\) | −2.79473 | + | 3.84662i | −0.172659 | + | 0.237645i | ||||
\(263\) | −4.13239 | + | 5.68775i | −0.254814 | + | 0.350722i | −0.917190 | − | 0.398450i | \(-0.869548\pi\) |
0.662376 | + | 0.749172i | \(0.269548\pi\) | |||||||
\(264\) | −21.1122 | + | 13.0797i | −1.29937 | + | 0.805002i | ||||
\(265\) | −0.266911 | + | 0.101402i | −0.0163962 | + | 0.00622910i | ||||
\(266\) | 59.7837 | + | 43.4354i | 3.66557 | + | 2.66319i | ||||
\(267\) | 2.78585 | + | 21.2949i | 0.170491 | + | 1.30322i | ||||
\(268\) | − | 8.80456i | − | 0.537824i | ||||||
\(269\) | 23.3047 | − | 7.57216i | 1.42091 | − | 0.461682i | 0.505021 | − | 0.863107i | \(-0.331485\pi\) |
0.915892 | + | 0.401425i | \(0.131485\pi\) | |||||||
\(270\) | −27.4731 | − | 5.25961i | −1.67196 | − | 0.320090i | ||||
\(271\) | 9.19673 | + | 2.98820i | 0.558662 | + | 0.181520i | 0.574719 | − | 0.818351i | \(-0.305111\pi\) |
−0.0160572 | + | 0.999871i | \(0.505111\pi\) | |||||||
\(272\) | −17.0502 | − | 5.53995i | −1.03382 | − | 0.335909i | ||||
\(273\) | −5.64926 | − | 11.8688i | −0.341908 | − | 0.718334i | ||||
\(274\) | − | 33.7855i | − | 2.04106i | ||||||
\(275\) | −8.27429 | − | 14.3714i | −0.498959 | − | 0.866626i | ||||
\(276\) | −3.81582 | + | 20.4950i | −0.229685 | + | 1.23365i | ||||
\(277\) | 10.4346 | − | 7.58116i | 0.626953 | − | 0.455508i | −0.228390 | − | 0.973570i | \(-0.573346\pi\) |
0.855343 | + | 0.518062i | \(0.173346\pi\) | |||||||
\(278\) | −8.84600 | + | 27.2252i | −0.530548 | + | 1.63286i | ||||
\(279\) | 10.4000 | − | 12.8001i | 0.622629 | − | 0.766322i | ||||
\(280\) | 40.1129 | + | 26.2468i | 2.39720 | + | 1.56854i | ||||
\(281\) | −2.90611 | − | 8.94409i | −0.173364 | − | 0.533560i | 0.826191 | − | 0.563390i | \(-0.190503\pi\) |
−0.999555 | + | 0.0298305i | \(0.990503\pi\) | |||||||
\(282\) | −6.02465 | − | 1.12169i | −0.358762 | − | 0.0667956i | ||||
\(283\) | −7.68677 | − | 23.6575i | −0.456931 | − | 1.40629i | −0.868853 | − | 0.495070i | \(-0.835142\pi\) |
0.411922 | − | 0.911219i | \(-0.364858\pi\) | |||||||
\(284\) | 2.09975 | − | 2.89006i | 0.124597 | − | 0.171493i | ||||
\(285\) | −11.3496 | − | 21.1177i | −0.672291 | − | 1.25090i | ||||
\(286\) | 8.22847 | + | 9.03460i | 0.486560 | + | 0.534227i | ||||
\(287\) | −27.8229 | − | 20.2145i | −1.64233 | − | 1.19323i | ||||
\(288\) | 4.69975 | − | 3.04116i | 0.276935 | − | 0.179202i | ||||
\(289\) | 19.0241 | − | 13.8218i | 1.11907 | − | 0.813049i | ||||
\(290\) | −24.7173 | − | 16.1731i | −1.45145 | − | 0.949716i | ||||
\(291\) | −0.342268 | − | 0.361265i | −0.0200641 | − | 0.0211777i | ||||
\(292\) | −0.842270 | − | 2.59224i | −0.0492901 | − | 0.151699i | ||||
\(293\) | 27.3130i | 1.59564i | 0.602893 | + | 0.797822i | \(0.294014\pi\) | ||||
−0.602893 | + | 0.797822i | \(0.705986\pi\) | |||||||
\(294\) | −9.51365 | − | 72.7218i | −0.554847 | − | 4.24122i | ||||
\(295\) | 22.5468 | − | 1.10365i | 1.31273 | − | 0.0642572i | ||||
\(296\) | 5.36289 | − | 16.5053i | 0.311712 | − | 0.959350i | ||||
\(297\) | −12.5393 | − | 11.8222i | −0.727607 | − | 0.685994i | ||||
\(298\) | −13.3642 | − | 18.3943i | −0.774168 | − | 1.06555i | ||||
\(299\) | 4.85294 | 0.280653 | ||||||||
\(300\) | −16.9592 | − | 28.1602i | −0.979138 | − | 1.62583i | ||||
\(301\) | −25.6480 | −1.47832 | ||||||||
\(302\) | −22.2241 | + | 16.1467i | −1.27885 | + | 0.929141i | ||||
\(303\) | 3.01783 | + | 1.64174i | 0.173370 | + | 0.0943155i | ||||
\(304\) | −16.5814 | − | 5.38764i | −0.951011 | − | 0.309002i | ||||
\(305\) | 4.72942 | − | 17.4100i | 0.270806 | − | 0.996894i | ||||
\(306\) | 2.48088 | − | 45.9043i | 0.141822 | − | 2.62417i | ||||
\(307\) | 29.4353 | 1.67996 | 0.839981 | − | 0.542616i | \(-0.182566\pi\) | ||||
0.839981 | + | 0.542616i | \(0.182566\pi\) | |||||||
\(308\) | 25.7155 | + | 56.8837i | 1.46528 | + | 3.24125i | ||||
\(309\) | 11.1897 | + | 11.8108i | 0.636562 | + | 0.671894i | ||||
\(310\) | 29.5588 | − | 1.44689i | 1.67883 | − | 0.0821777i | ||||
\(311\) | 15.8581 | + | 21.8268i | 0.899231 | + | 1.23769i | 0.970713 | + | 0.240244i | \(0.0772275\pi\) |
−0.0714811 | + | 0.997442i | \(0.522773\pi\) | |||||||
\(312\) | 7.88204 | + | 8.31952i | 0.446232 | + | 0.471000i | ||||
\(313\) | −1.01869 | + | 1.40210i | −0.0575795 | + | 0.0792514i | −0.836836 | − | 0.547454i | \(-0.815597\pi\) |
0.779256 | + | 0.626705i | \(0.215597\pi\) | |||||||
\(314\) | −22.9461 | + | 16.6713i | −1.29493 | + | 0.940819i | ||||
\(315\) | −10.4397 | + | 31.5832i | −0.588213 | + | 1.77951i | ||||
\(316\) | −16.3227 | + | 22.4662i | −0.918222 | + | 1.26382i | ||||
\(317\) | 1.29720 | + | 3.99236i | 0.0728578 | + | 0.224233i | 0.980854 | − | 0.194746i | \(-0.0623881\pi\) |
−0.907996 | + | 0.418979i | \(0.862388\pi\) | |||||||
\(318\) | −0.523450 | − | 0.0974576i | −0.0293536 | − | 0.00546515i | ||||
\(319\) | −7.49667 | − | 16.5829i | −0.419733 | − | 0.928464i | ||||
\(320\) | 21.8490 | + | 5.93527i | 1.22140 | + | 0.331792i | ||||
\(321\) | 5.46524 | − | 10.0462i | 0.305040 | − | 0.560722i | ||||
\(322\) | 36.0009 | + | 11.6974i | 2.00625 | + | 0.651870i | ||||
\(323\) | 31.8762 | − | 23.1594i | 1.77364 | − | 1.28863i | ||||
\(324\) | −25.3128 | − | 22.9418i | −1.40626 | − | 1.27454i | ||||
\(325\) | −5.72197 | + | 5.08104i | −0.317398 | + | 0.281846i | ||||
\(326\) | −23.9443 | −1.32615 | ||||||||
\(327\) | −29.2787 | + | 13.9359i | −1.61911 | + | 0.770657i | ||||
\(328\) | 28.5168 | + | 9.26566i | 1.57458 | + | 0.511611i | ||||
\(329\) | −2.25197 | + | 6.93086i | −0.124155 | + | 0.382111i | ||||
\(330\) | 0.765253 | − | 30.9148i | 0.0421258 | − | 1.70180i | ||||
\(331\) | −7.40537 | − | 22.7914i | −0.407036 | − | 1.25273i | −0.919183 | − | 0.393830i | \(-0.871150\pi\) |
0.512147 | − | 0.858898i | \(-0.328850\pi\) | |||||||
\(332\) | − | 22.3054i | − | 1.22417i | ||||||
\(333\) | 12.0251 | + | 0.649889i | 0.658970 | + | 0.0356137i | ||||
\(334\) | −13.7821 | − | 10.0132i | −0.754120 | − | 0.547901i | ||||
\(335\) | 4.34014 | + | 2.83985i | 0.237127 | + | 0.155158i | ||||
\(336\) | 10.3964 | + | 21.8424i | 0.567171 | + | 1.19160i | ||||
\(337\) | −18.4483 | − | 13.4034i | −1.00494 | − | 0.730132i | −0.0417984 | − | 0.999126i | \(-0.513309\pi\) |
−0.963142 | + | 0.268994i | \(0.913309\pi\) | |||||||
\(338\) | −15.0813 | + | 20.7576i | −0.820314 | + | 1.12907i | ||||
\(339\) | 6.72502 | + | 14.1290i | 0.365253 | + | 0.767379i | ||||
\(340\) | 42.1026 | − | 33.8542i | 2.28333 | − | 1.83600i | ||||
\(341\) | 15.8420 | + | 9.02646i | 0.857894 | + | 0.488810i | ||||
\(342\) | 2.41267 | − | 44.6422i | 0.130462 | − | 2.41397i | ||||
\(343\) | −52.5058 | −2.83505 | ||||||||
\(344\) | 21.2671 | − | 6.91010i | 1.14665 | − | 0.372568i | ||||
\(345\) | −8.87207 | − | 8.49149i | −0.477656 | − | 0.457167i | ||||
\(346\) | −3.71865 | + | 11.4448i | −0.199916 | + | 0.615277i | ||||
\(347\) | −22.5741 | − | 7.33477i | −1.21184 | − | 0.393751i | −0.367737 | − | 0.929930i | \(-0.619867\pi\) |
−0.844104 | + | 0.536179i | \(0.819867\pi\) | |||||||
\(348\) | −15.5042 | − | 32.5736i | −0.831112 | − | 1.74613i | ||||
\(349\) | − | 7.84341i | − | 0.419848i | −0.977718 | − | 0.209924i | \(-0.932678\pi\) | ||
0.977718 | − | 0.209924i | \(-0.0673217\pi\) | |||||||
\(350\) | −54.6948 | + | 23.9009i | −2.92356 | + | 1.27756i | ||||
\(351\) | −4.17177 | + | 6.77044i | −0.222672 | + | 0.361380i | ||||
\(352\) | 4.16717 | + | 4.57543i | 0.222111 | + | 0.243871i | ||||
\(353\) | 0.603074 | − | 1.85607i | 0.0320984 | − | 0.0987886i | −0.933724 | − | 0.357994i | \(-0.883461\pi\) |
0.965822 | + | 0.259206i | \(0.0834607\pi\) | |||||||
\(354\) | 36.9780 | + | 20.1165i | 1.96536 | + | 1.06918i | ||||
\(355\) | 0.747370 | + | 1.96722i | 0.0396663 | + | 0.104409i | ||||
\(356\) | −44.7620 | + | 14.5441i | −2.37238 | + | 0.770834i | ||||
\(357\) | −53.7448 | − | 10.0064i | −2.84448 | − | 0.529594i | ||||
\(358\) | 0.718756 | + | 2.21211i | 0.0379875 | + | 0.116913i | ||||
\(359\) | −16.5773 | − | 12.0441i | −0.874919 | − | 0.635666i | 0.0569835 | − | 0.998375i | \(-0.481852\pi\) |
−0.931902 | + | 0.362709i | \(0.881852\pi\) | |||||||
\(360\) | 0.147373 | − | 29.0013i | 0.00776724 | − | 1.52850i | ||||
\(361\) | 15.6285 | − | 11.3548i | 0.822553 | − | 0.597620i | ||||
\(362\) | 13.5764 | − | 18.6863i | 0.713559 | − | 0.982129i | ||||
\(363\) | 10.6248 | − | 15.8150i | 0.557657 | − | 0.830071i | ||||
\(364\) | 23.3051 | − | 16.9322i | 1.22152 | − | 0.887487i | ||||
\(365\) | 1.54949 | + | 0.420919i | 0.0811042 | + | 0.0220319i | ||||
\(366\) | 24.4225 | − | 23.1382i | 1.27658 | − | 1.20946i | ||||
\(367\) | −35.3523 | + | 11.4867i | −1.84538 | + | 0.599599i | −0.847776 | + | 0.530355i | \(0.822059\pi\) |
−0.997600 | + | 0.0692443i | \(0.977941\pi\) | |||||||
\(368\) | −8.93095 | −0.465558 | ||||||||
\(369\) | −1.12284 | + | 20.7762i | −0.0584526 | + | 1.08156i | ||||
\(370\) | 13.5412 | + | 16.8404i | 0.703973 | + | 0.875493i | ||||
\(371\) | −0.195662 | + | 0.602186i | −0.0101583 | + | 0.0312640i | ||||
\(372\) | 31.7494 | + | 17.2721i | 1.64613 | + | 0.895515i | ||||
\(373\) | −16.5811 | + | 12.0469i | −0.858536 | + | 0.623763i | −0.927486 | − | 0.373857i | \(-0.878035\pi\) |
0.0689505 | + | 0.997620i | \(0.478035\pi\) | |||||||
\(374\) | 50.5137 | − | 5.60033i | 2.61200 | − | 0.289586i | ||||
\(375\) | 19.3514 | + | 0.723003i | 0.999303 | + | 0.0373357i | ||||
\(376\) | − | 6.35375i | − | 0.327670i | ||||||
\(377\) | −6.79398 | + | 4.93611i | −0.349908 | + | 0.254223i | ||||
\(378\) | −47.2669 | + | 40.1701i | −2.43115 | + | 2.06613i | ||||
\(379\) | −5.28323 | + | 16.2601i | −0.271381 | + | 0.835225i | 0.718773 | + | 0.695245i | \(0.244704\pi\) |
−0.990154 | + | 0.139981i | \(0.955296\pi\) | |||||||
\(380\) | 40.9450 | − | 32.9234i | 2.10044 | − | 1.68894i | ||||
\(381\) | −5.61444 | + | 0.734495i | −0.287637 | + | 0.0376293i | ||||
\(382\) | −15.4104 | −0.788467 | ||||||||
\(383\) | 8.49699 | + | 26.1510i | 0.434176 | + | 1.33626i | 0.893929 | + | 0.448209i | \(0.147938\pi\) |
−0.459753 | + | 0.888047i | \(0.652062\pi\) | |||||||
\(384\) | 24.5921 | + | 25.9571i | 1.25496 | + | 1.32462i | ||||
\(385\) | −36.3347 | − | 5.67118i | −1.85179 | − | 0.289030i | ||||
\(386\) | −1.78083 | − | 2.45110i | −0.0906416 | − | 0.124757i | ||||
\(387\) | 8.42989 | + | 13.0274i | 0.428516 | + | 0.662220i | ||||
\(388\) | 0.641046 | − | 0.882325i | 0.0325442 | − | 0.0447932i | ||||
\(389\) | −5.55431 | − | 7.64485i | −0.281615 | − | 0.387609i | 0.644653 | − | 0.764475i | \(-0.277002\pi\) |
−0.926268 | + | 0.376866i | \(0.877002\pi\) | |||||||
\(390\) | −14.0421 | + | 2.54064i | −0.711047 | + | 0.128650i | ||||
\(391\) | 11.8634 | − | 16.3286i | 0.599959 | − | 0.825772i | ||||
\(392\) | 72.3195 | − | 23.4980i | 3.65268 | − | 1.18683i | ||||
\(393\) | 0.626132 | − | 3.36299i | 0.0315842 | − | 0.169640i | ||||
\(394\) | −3.74633 | − | 11.5300i | −0.188738 | − | 0.580874i | ||||
\(395\) | −5.80978 | − | 15.2925i | −0.292322 | − | 0.769447i | ||||
\(396\) | 20.4409 | − | 31.7581i | 1.02719 | − | 1.59590i | ||||
\(397\) | −13.6241 | − | 4.42673i | −0.683773 | − | 0.222171i | −0.0535265 | − | 0.998566i | \(-0.517046\pi\) |
−0.630246 | + | 0.776395i | \(0.717046\pi\) | |||||||
\(398\) | 11.0958 | + | 15.2720i | 0.556181 | + | 0.765518i | ||||
\(399\) | −52.2672 | − | 9.73127i | −2.61663 | − | 0.487173i | ||||
\(400\) | 10.5302 | − | 9.35073i | 0.526512 | − | 0.467536i | ||||
\(401\) | 26.8471i | 1.34068i | 0.742054 | + | 0.670341i | \(0.233852\pi\) | ||||
−0.742054 | + | 0.670341i | \(0.766148\pi\) | |||||||
\(402\) | 4.15682 | + | 8.73329i | 0.207323 | + | 0.435577i | ||||
\(403\) | 2.59998 | − | 8.00191i | 0.129514 | − | 0.398604i | ||||
\(404\) | −2.32656 | + | 7.16043i | −0.115751 | + | 0.356245i | ||||
\(405\) | 19.4734 | − | 5.07801i | 0.967642 | − | 0.252328i | ||||
\(406\) | −62.2980 | + | 20.2419i | −3.09180 | + | 1.00459i | ||||
\(407\) | 1.46706 | + | 13.2325i | 0.0727195 | + | 0.655913i | ||||
\(408\) | 47.2608 | − | 6.18277i | 2.33976 | − | 0.306093i | ||||
\(409\) | 14.2965 | − | 19.6775i | 0.706917 | − | 0.972988i | −0.292941 | − | 0.956131i | \(-0.594634\pi\) |
0.999858 | − | 0.0168572i | \(-0.00536606\pi\) | |||||||
\(410\) | −29.0958 | + | 23.3956i | −1.43694 | + | 1.15543i | ||||
\(411\) | 10.4466 | + | 21.9478i | 0.515293 | + | 1.08261i | ||||
\(412\) | −20.9577 | + | 28.8458i | −1.03251 | + | 1.42113i | ||||
\(413\) | 29.4243 | − | 40.4990i | 1.44787 | − | 1.99283i | ||||
\(414\) | −5.89119 | − | 22.1306i | −0.289536 | − | 1.08766i | ||||
\(415\) | 10.9953 | + | 7.19445i | 0.539736 | + | 0.353162i | ||||
\(416\) | 1.67859 | − | 2.31038i | 0.0822995 | − | 0.113275i | ||||
\(417\) | −2.67156 | − | 20.4213i | −0.130827 | − | 1.00003i | ||||
\(418\) | 49.1249 | − | 5.44635i | 2.40278 | − | 0.266390i | ||||
\(419\) | 17.1907 | − | 5.58560i | 0.839821 | − | 0.272874i | 0.142645 | − | 0.989774i | \(-0.454439\pi\) |
0.697176 | + | 0.716900i | \(0.254439\pi\) | |||||||
\(420\) | −72.2333 | − | 9.82333i | −3.52463 | − | 0.479329i | ||||
\(421\) | −6.52221 | + | 20.0733i | −0.317873 | + | 0.978313i | 0.656682 | + | 0.754167i | \(0.271959\pi\) |
−0.974556 | + | 0.224146i | \(0.928041\pi\) | |||||||
\(422\) | 10.7262 | − | 33.0118i | 0.522142 | − | 1.60699i | ||||
\(423\) | 4.26057 | − | 1.13417i | 0.207156 | − | 0.0551451i | ||||
\(424\) | − | 0.552044i | − | 0.0268096i | ||||||
\(425\) | 3.10826 | + | 31.6736i | 0.150773 | + | 1.53639i | ||||
\(426\) | −0.718295 | + | 3.85800i | −0.0348015 | + | 0.186921i | ||||
\(427\) | −23.5158 | − | 32.3668i | −1.13801 | − | 1.56634i | ||||
\(428\) | 23.8366 | + | 7.74498i | 1.15219 | + | 0.374368i | ||||
\(429\) | −8.13892 | − | 3.32481i | −0.392951 | − | 0.160523i | ||||
\(430\) | −7.29922 | + | 26.8700i | −0.352000 | + | 1.29578i | ||||
\(431\) | −6.08457 | − | 18.7264i | −0.293084 | − | 0.902019i | −0.983858 | − | 0.178949i | \(-0.942730\pi\) |
0.690775 | − | 0.723070i | \(-0.257270\pi\) | |||||||
\(432\) | 7.67737 | − | 12.4598i | 0.369378 | − | 0.599470i | ||||
\(433\) | 8.87876 | − | 2.88489i | 0.426686 | − | 0.138639i | −0.0877986 | − | 0.996138i | \(-0.527983\pi\) |
0.514485 | + | 0.857500i | \(0.327983\pi\) | |||||||
\(434\) | 38.5751 | − | 53.0941i | 1.85167 | − | 2.54860i | ||||
\(435\) | 21.0577 | + | 2.86372i | 1.00964 | + | 0.137305i | ||||
\(436\) | −41.7692 | − | 57.4904i | −2.00038 | − | 2.75329i | ||||
\(437\) | 11.5372 | − | 15.8796i | 0.551901 | − | 0.759627i | ||||
\(438\) | 2.05931 | + | 2.17361i | 0.0983975 | + | 0.103859i | ||||
\(439\) | −1.00757 | − | 1.38680i | −0.0480887 | − | 0.0661884i | 0.784295 | − | 0.620387i | \(-0.213025\pi\) |
−0.832384 | + | 0.554199i | \(0.813025\pi\) | |||||||
\(440\) | 31.6564 | − | 5.08684i | 1.50916 | − | 0.242506i | ||||
\(441\) | 28.6661 | + | 44.3001i | 1.36505 | + | 2.10953i | ||||
\(442\) | −7.24721 | − | 22.3046i | −0.344714 | − | 1.06092i | ||||
\(443\) | −7.75578 | −0.368488 | −0.184244 | − | 0.982881i | \(-0.558984\pi\) | ||||
−0.184244 | + | 0.982881i | \(0.558984\pi\) | |||||||
\(444\) | 3.42343 | + | 26.1686i | 0.162469 | + | 1.24190i | ||||
\(445\) | 7.26830 | − | 26.7562i | 0.344551 | − | 1.26836i | ||||
\(446\) | −4.14764 | + | 12.7651i | −0.196397 | + | 0.604447i | ||||
\(447\) | 14.3693 | + | 7.81706i | 0.679642 | + | 0.369734i | ||||
\(448\) | 40.6192 | − | 29.5116i | 1.91908 | − | 1.39429i | ||||
\(449\) | − | 4.99437i | − | 0.235699i | −0.993031 | − | 0.117849i | \(-0.962400\pi\) | ||
0.993031 | − | 0.117849i | \(-0.0376000\pi\) | |||||||
\(450\) | 30.1170 | + | 19.9255i | 1.41973 | + | 0.939297i | ||||
\(451\) | −22.8624 | + | 2.53469i | −1.07655 | + | 0.119354i | ||||
\(452\) | −27.7430 | + | 20.1565i | −1.30492 | + | 0.948082i | ||||
\(453\) | 9.44463 | − | 17.3610i | 0.443747 | − | 0.815693i | ||||
\(454\) | 14.2480 | − | 43.8509i | 0.668692 | − | 2.05802i | ||||
\(455\) | 0.829666 | + | 16.9494i | 0.0388953 | + | 0.794602i | ||||
\(456\) | 45.9614 | − | 6.01278i | 2.15234 | − | 0.281574i | ||||
\(457\) | 24.2334 | 1.13359 | 0.566794 | − | 0.823859i | \(-0.308183\pi\) | ||||
0.566794 | + | 0.823859i | \(0.308183\pi\) | |||||||
\(458\) | 61.3095 | − | 19.9207i | 2.86480 | − | 0.930831i | ||||
\(459\) | 12.5821 | + | 30.5875i | 0.587284 | + | 1.42770i | ||||
\(460\) | 14.7360 | − | 22.5209i | 0.687068 | − | 1.05004i | ||||
\(461\) | 1.88114 | − | 1.36673i | 0.0876135 | − | 0.0636549i | −0.543116 | − | 0.839658i | \(-0.682756\pi\) |
0.630730 | + | 0.776003i | \(0.282756\pi\) | |||||||
\(462\) | −52.3634 | − | 44.2824i | −2.43617 | − | 2.06021i | ||||
\(463\) | 14.0123 | − | 19.2863i | 0.651206 | − | 0.896308i | −0.347945 | − | 0.937515i | \(-0.613120\pi\) |
0.999151 | + | 0.0412070i | \(0.0131203\pi\) | |||||||
\(464\) | 12.5031 | − | 9.08401i | 0.580441 | − | 0.421715i | ||||
\(465\) | −18.7547 | + | 10.0796i | −0.869727 | + | 0.467431i | ||||
\(466\) | 2.52262 | + | 1.83279i | 0.116858 | + | 0.0849024i | ||||
\(467\) | −7.07167 | − | 21.7644i | −0.327238 | − | 1.00713i | −0.970420 | − | 0.241422i | \(-0.922386\pi\) |
0.643182 | − | 0.765713i | \(-0.277614\pi\) | |||||||
\(468\) | −16.2602 | − | 6.27219i | −0.751630 | − | 0.289932i | ||||
\(469\) | 10.9390 | − | 3.55429i | 0.505115 | − | 0.164122i | ||||
\(470\) | 6.62019 | + | 4.33174i | 0.305367 | + | 0.199808i | ||||
\(471\) | 9.75148 | − | 17.9251i | 0.449325 | − | 0.825945i | ||||
\(472\) | −13.4871 | + | 41.5090i | −0.620794 | + | 1.91061i | ||||
\(473\) | −12.6828 | + | 11.5511i | −0.583155 | + | 0.531122i | ||||
\(474\) | 5.58376 | − | 29.9907i | 0.256471 | − | 1.37752i | ||||
\(475\) | 3.02280 | + | 30.8028i | 0.138696 | + | 1.41333i | ||||
\(476\) | − | 119.806i | − | 5.49132i | ||||||
\(477\) | 0.370179 | − | 0.0985419i | 0.0169493 | − | 0.00451192i | ||||
\(478\) | −31.0653 | − | 10.0937i | −1.42089 | − | 0.461676i | ||||
\(479\) | 6.03377 | − | 18.5700i | 0.275690 | − | 0.848487i | −0.713346 | − | 0.700812i | \(-0.752821\pi\) |
0.989036 | − | 0.147675i | \(-0.0471788\pi\) | |||||||
\(480\) | −7.11137 | + | 1.28666i | −0.324588 | + | 0.0587279i | ||||
\(481\) | 5.84291 | − | 1.89848i | 0.266414 | − | 0.0865630i | ||||
\(482\) | 40.7527 | 1.85623 | ||||||||
\(483\) | −27.0038 | + | 3.53271i | −1.22872 | + | 0.160744i | ||||
\(484\) | 38.3351 | + | 16.5471i | 1.74250 | + | 0.752143i | ||||
\(485\) | 0.228170 | + | 0.600586i | 0.0103607 | + | 0.0272712i | ||||
\(486\) | 35.9392 | + | 10.8054i | 1.63023 | + | 0.490142i | ||||
\(487\) | −7.79227 | + | 10.7251i | −0.353101 | + | 0.486002i | −0.948211 | − | 0.317643i | \(-0.897109\pi\) |
0.595109 | + | 0.803645i | \(0.297109\pi\) | |||||||
\(488\) | 28.2194 | + | 20.5026i | 1.27743 | + | 0.928110i | ||||
\(489\) | 15.5547 | − | 7.40365i | 0.703409 | − | 0.334805i | ||||
\(490\) | −24.8212 | + | 91.3721i | −1.12131 | + | 4.12777i | ||||
\(491\) | −4.39411 | − | 3.19251i | −0.198303 | − | 0.144076i | 0.484203 | − | 0.874956i | \(-0.339110\pi\) |
−0.682506 | + | 0.730880i | \(0.739110\pi\) | |||||||
\(492\) | −45.2124 | + | 5.91479i | −2.03833 | + | 0.266659i | ||||
\(493\) | 34.9263i | 1.57300i | ||||||||
\(494\) | −7.04795 | − | 21.6914i | −0.317102 | − | 0.975941i | ||||
\(495\) | 9.06182 | + | 20.3195i | 0.407299 | + | 0.913295i | ||||
\(496\) | −4.78478 | + | 14.7260i | −0.214843 | + | 0.661219i | ||||
\(497\) | 4.43831 | + | 1.44210i | 0.199086 | + | 0.0646868i | ||||
\(498\) | 10.5309 | + | 22.1249i | 0.471899 | + | 0.991438i | ||||
\(499\) | −6.90081 | −0.308923 | −0.154461 | − | 0.987999i | \(-0.549364\pi\) | ||||
−0.154461 | + | 0.987999i | \(0.549364\pi\) | |||||||
\(500\) | 6.20472 | + | 41.9824i | 0.277484 | + | 1.87751i | ||||
\(501\) | 12.0493 | + | 2.24337i | 0.538321 | + | 0.100226i | ||||
\(502\) | −29.3694 | + | 21.3381i | −1.31082 | + | 0.952368i | ||||
\(503\) | 2.16417 | + | 0.703182i | 0.0964956 | + | 0.0313533i | 0.356867 | − | 0.934155i | \(-0.383845\pi\) |
−0.260371 | + | 0.965509i | \(0.583845\pi\) | |||||||
\(504\) | −49.9152 | − | 40.5556i | −2.22340 | − | 1.80649i | ||||
\(505\) | −2.77926 | − | 3.45641i | −0.123675 | − | 0.153808i | ||||
\(506\) | 23.0704 | − | 10.4295i | 1.02561 | − | 0.463648i | ||||
\(507\) | 3.37881 | − | 18.1478i | 0.150058 | − | 0.805972i | ||||
\(508\) | −3.83458 | − | 11.8016i | −0.170132 | − | 0.523612i | ||||
\(509\) | −18.0666 | + | 24.8665i | −0.800786 | + | 1.10219i | 0.191895 | + | 0.981416i | \(0.438537\pi\) |
−0.992680 | + | 0.120772i | \(0.961463\pi\) | |||||||
\(510\) | −25.7785 | + | 53.4578i | −1.14149 | + | 2.36715i | ||||
\(511\) | 2.88065 | − | 2.09291i | 0.127432 | − | 0.0925850i | ||||
\(512\) | −17.4038 | + | 23.9542i | −0.769145 | + | 1.05864i | ||||
\(513\) | 12.2362 | + | 29.7466i | 0.540241 | + | 1.31334i | ||||
\(514\) | 27.8419 | + | 38.3211i | 1.22805 | + | 1.69027i | ||||
\(515\) | −7.45955 | − | 19.6350i | −0.328707 | − | 0.865220i | ||||
\(516\) | −24.6859 | + | 23.3878i | −1.08673 | + | 1.02959i | ||||
\(517\) | 2.00788 | + | 4.44150i | 0.0883065 | + | 0.195337i | ||||
\(518\) | 47.9208 | 2.10552 | ||||||||
\(519\) | −1.12306 | − | 8.58463i | −0.0492969 | − | 0.376823i | ||||
\(520\) | −5.25449 | − | 13.8308i | −0.230425 | − | 0.606522i | ||||
\(521\) | 31.0233 | + | 10.0801i | 1.35916 | + | 0.441617i | 0.895762 | − | 0.444535i | \(-0.146631\pi\) |
0.463395 | + | 0.886152i | \(0.346631\pi\) | |||||||
\(522\) | 30.7574 | + | 24.9901i | 1.34621 | + | 1.09379i | ||||
\(523\) | 6.86794 | − | 4.98985i | 0.300314 | − | 0.218191i | −0.427415 | − | 0.904055i | \(-0.640576\pi\) |
0.727729 | + | 0.685865i | \(0.240576\pi\) | |||||||
\(524\) | 7.49667 | 0.327494 | ||||||||
\(525\) | 28.1407 | − | 32.4384i | 1.22816 | − | 1.41573i | ||||
\(526\) | 16.9254 | 0.737984 | ||||||||
\(527\) | −20.5680 | − | 28.3094i | −0.895956 | − | 1.23318i | ||||
\(528\) | 14.9782 | + | 6.11870i | 0.651842 | + | 0.266282i | ||||
\(529\) | −4.00035 | + | 12.3118i | −0.173928 | + | 0.535296i | ||||
\(530\) | 0.575194 | + | 0.376362i | 0.0249848 | + | 0.0163481i | ||||
\(531\) | −30.2418 | − | 1.63440i | −1.31238 | − | 0.0709271i | ||||
\(532\) | − | 116.512i | − | 5.05145i | ||||||
\(533\) | 3.28007 | + | 10.0950i | 0.142075 | + | 0.437263i | ||||
\(534\) | 37.5332 | − | 35.5595i | 1.62422 | − | 1.53881i | ||||
\(535\) | −11.5062 | + | 9.25197i | −0.497455 | + | 0.399997i | ||||
\(536\) | −8.11293 | + | 5.89439i | −0.350425 | + | 0.254599i | ||||
\(537\) | −1.15091 | − | 1.21479i | −0.0496655 | − | 0.0524221i | ||||
\(538\) | −47.7256 | − | 34.6747i | −2.05760 | − | 1.49493i | ||||
\(539\) | −43.1282 | + | 39.2800i | −1.85766 | + | 1.69191i | ||||
\(540\) | 18.7519 | + | 39.9183i | 0.806952 | + | 1.71781i | ||||
\(541\) | 3.21826 | − | 4.42956i | 0.138364 | − | 0.190442i | −0.734212 | − | 0.678920i | \(-0.762448\pi\) |
0.872576 | + | 0.488479i | \(0.162448\pi\) | |||||||
\(542\) | −7.19394 | − | 22.1407i | −0.309006 | − | 0.951023i | ||||
\(543\) | −3.04165 | + | 16.3369i | −0.130530 | + | 0.701083i | ||||
\(544\) | −3.67023 | − | 11.2958i | −0.157360 | − | 0.484303i | ||||
\(545\) | 41.8118 | − | 2.04667i | 1.79102 | − | 0.0876695i | ||||
\(546\) | −15.1225 | + | 27.7980i | −0.647182 | + | 1.18964i | ||||
\(547\) | −5.54428 | + | 17.0636i | −0.237056 | + | 0.729585i | 0.759785 | + | 0.650174i | \(0.225304\pi\) |
−0.996842 | + | 0.0794110i | \(0.974696\pi\) | |||||||
\(548\) | −43.0959 | + | 31.3110i | −1.84096 | + | 1.33754i | ||||
\(549\) | −8.71097 | + | 22.5826i | −0.371775 | + | 0.963803i | ||||
\(550\) | −16.2820 | + | 36.4519i | −0.694266 | + | 1.55432i | ||||
\(551\) | 33.9660i | 1.44700i | ||||||||
\(552\) | 21.4396 | − | 10.2047i | 0.912530 | − | 0.434341i | ||||
\(553\) | −34.5018 | − | 11.2103i | −1.46717 | − | 0.476711i | ||||
\(554\) | −29.5312 | − | 9.59525i | −1.25466 | − | 0.407663i | ||||
\(555\) | −14.0038 | − | 6.75293i | −0.594427 | − | 0.286646i | ||||
\(556\) | 42.9257 | − | 13.9474i | 1.82046 | − | 0.591502i | ||||
\(557\) | − | 26.0202i | − | 1.10251i | −0.834336 | − | 0.551256i | \(-0.814149\pi\) | ||
0.834336 | − | 0.551256i | \(-0.185851\pi\) | |||||||
\(558\) | −39.6469 | − | 2.14270i | −1.67839 | − | 0.0907076i | ||||
\(559\) | 6.40422 | + | 4.65293i | 0.270869 | + | 0.196798i | ||||
\(560\) | −1.52685 | − | 31.1923i | −0.0645211 | − | 1.31812i | ||||
\(561\) | −31.0832 | + | 19.2571i | −1.31233 | + | 0.813035i | ||||
\(562\) | −13.3078 | + | 18.3166i | −0.561355 | + | 0.772639i | ||||
\(563\) | −18.1784 | + | 25.0204i | −0.766129 | + | 1.05449i | 0.230551 | + | 0.973060i | \(0.425947\pi\) |
−0.996679 | + | 0.0814256i | \(0.974053\pi\) | |||||||
\(564\) | 4.15259 | + | 8.72440i | 0.174856 | + | 0.367363i | ||||
\(565\) | −0.987655 | − | 20.1770i | −0.0415510 | − | 0.848855i | ||||
\(566\) | −35.1996 | + | 48.4481i | −1.47955 | + | 2.03642i | ||||
\(567\) | 18.2849 | − | 40.7105i | 0.767895 | − | 1.70968i | ||||
\(568\) | −4.06875 | −0.170721 | ||||||||
\(569\) | −1.93148 | − | 5.94448i | −0.0809718 | − | 0.249206i | 0.902373 | − | 0.430956i | \(-0.141824\pi\) |
−0.983345 | + | 0.181751i | \(0.941824\pi\) | |||||||
\(570\) | −25.0698 | + | 51.9880i | −1.05006 | + | 2.17754i | ||||
\(571\) | 17.0538 | + | 5.54112i | 0.713680 | + | 0.231889i | 0.643281 | − | 0.765630i | \(-0.277573\pi\) |
0.0703989 | + | 0.997519i | \(0.477573\pi\) | |||||||
\(572\) | 3.89849 | − | 18.8689i | 0.163004 | − | 0.788948i | ||||
\(573\) | 10.0110 | − | 4.76496i | 0.418214 | − | 0.199059i | ||||
\(574\) | 82.7945i | 3.45578i | ||||||||
\(575\) | 6.34853 | + | 14.5279i | 0.264752 | + | 0.605857i | ||||
\(576\) | −28.3405 | − | 10.9320i | −1.18085 | − | 0.455500i | ||||
\(577\) | 27.7922 | + | 38.2527i | 1.15700 | + | 1.59248i | 0.721719 | + | 0.692186i | \(0.243352\pi\) |
0.435285 | + | 0.900293i | \(0.356648\pi\) | |||||||
\(578\) | −53.8406 | − | 17.4939i | −2.23948 | − | 0.727650i | ||||
\(579\) | 1.91475 | + | 1.04165i | 0.0795743 | + | 0.0432894i | ||||
\(580\) | 2.27699 | + | 46.5172i | 0.0945469 | + | 1.93152i | ||||
\(581\) | 27.7127 | − | 9.00441i | 1.14972 | − | 0.373566i | ||||
\(582\) | −0.219293 | + | 1.17784i | −0.00908999 | + | 0.0488228i | ||||
\(583\) | 0.174454 | + | 0.385899i | 0.00722516 | + | 0.0159823i | ||||
\(584\) | −1.82474 | + | 2.51154i | −0.0755082 | + | 0.103928i | ||||
\(585\) | 8.33646 | − | 5.99230i | 0.344670 | − | 0.247751i | ||||
\(586\) | 53.1967 | − | 38.6496i | 2.19753 | − | 1.59660i | ||||
\(587\) | −11.2287 | − | 8.15816i | −0.463460 | − | 0.336723i | 0.331427 | − | 0.943481i | \(-0.392470\pi\) |
−0.794887 | + | 0.606757i | \(0.792470\pi\) | |||||||
\(588\) | −83.9451 | + | 79.5308i | −3.46184 | + | 3.27980i | ||||
\(589\) | −20.0025 | − | 27.5311i | −0.824188 | − | 1.13440i | ||||
\(590\) | −34.0547 | − | 42.3519i | −1.40201 | − | 1.74360i | ||||
\(591\) | 5.99882 | + | 6.33178i | 0.246759 | + | 0.260455i | ||||
\(592\) | −10.7528 | + | 3.49380i | −0.441937 | + | 0.143594i | ||||
\(593\) | 2.33414i | 0.0958516i | 0.998851 | + | 0.0479258i | \(0.0152611\pi\) | ||||
−0.998851 | + | 0.0479258i | \(0.984739\pi\) | |||||||
\(594\) | −5.28177 | + | 41.1516i | −0.216714 | + | 1.68847i | ||||
\(595\) | 59.0576 | + | 38.6427i | 2.42112 | + | 1.58420i | ||||
\(596\) | −11.0778 | + | 34.0940i | −0.453765 | + | 1.39655i | ||||
\(597\) | −11.9302 | − | 6.49020i | −0.488272 | − | 0.265626i | ||||
\(598\) | −6.86722 | − | 9.45191i | −0.280821 | − | 0.386518i | ||||
\(599\) | 11.8708i | 0.485028i | 0.970148 | + | 0.242514i | \(0.0779721\pi\) | ||||
−0.970148 | + | 0.242514i | \(0.922028\pi\) | |||||||
\(600\) | −14.5945 | + | 34.4794i | −0.595817 | + | 1.40762i | ||||
\(601\) | − | 24.5582i | − | 1.00175i | −0.865519 | − | 0.500876i | \(-0.833011\pi\) | ||
0.865519 | − | 0.500876i | \(-0.166989\pi\) | |||||||
\(602\) | 36.2935 | + | 49.9537i | 1.47921 | + | 2.03596i | ||||
\(603\) | −5.40073 | − | 4.38804i | −0.219935 | − | 0.178695i | ||||
\(604\) | 41.1926 | + | 13.3843i | 1.67610 | + | 0.544600i | ||||
\(605\) | −20.5215 | + | 13.5598i | −0.834317 | + | 0.551284i | ||||
\(606\) | −1.07286 | − | 8.20090i | −0.0435820 | − | 0.333139i | ||||
\(607\) | −40.0055 | −1.62377 | −0.811886 | − | 0.583816i | \(-0.801559\pi\) | ||||
−0.811886 | + | 0.583816i | \(0.801559\pi\) | |||||||
\(608\) | −3.56932 | − | 10.9852i | −0.144755 | − | 0.445510i | ||||
\(609\) | 34.2113 | − | 32.4123i | 1.38631 | − | 1.31341i | ||||
\(610\) | −40.6013 | + | 15.4249i | −1.64390 | + | 0.624536i | ||||
\(611\) | 1.81968 | − | 1.32207i | 0.0736162 | − | 0.0534853i | ||||
\(612\) | −60.8534 | + | 39.3776i | −2.45985 | + | 1.59174i | ||||
\(613\) | −13.0232 | − | 9.46188i | −0.526001 | − | 0.382162i | 0.292859 | − | 0.956156i | \(-0.405393\pi\) |
−0.818860 | + | 0.573994i | \(0.805393\pi\) | |||||||
\(614\) | −41.6528 | − | 57.3302i | −1.68097 | − | 2.31366i | ||||
\(615\) | 11.6673 | − | 24.1948i | 0.470471 | − | 0.975630i | ||||
\(616\) | 35.1995 | − | 61.7774i | 1.41823 | − | 2.48908i | ||||
\(617\) | −7.31781 | − | 22.5219i | −0.294604 | − | 0.906698i | −0.983354 | − | 0.181699i | \(-0.941840\pi\) |
0.688750 | − | 0.724999i | \(-0.258160\pi\) | |||||||
\(618\) | 7.16935 | − | 38.5069i | 0.288393 | − | 1.54898i | ||||
\(619\) | 5.99643 | + | 18.4551i | 0.241017 | + | 0.741774i | 0.996266 | + | 0.0863361i | \(0.0275159\pi\) |
−0.755249 | + | 0.655438i | \(0.772484\pi\) | |||||||
\(620\) | −29.2394 | − | 36.3635i | −1.17428 | − | 1.46039i | ||||
\(621\) | 10.6699 | + | 12.5550i | 0.428169 | + | 0.503814i | ||||
\(622\) | 20.0712 | − | 61.7727i | 0.804780 | − | 2.47686i | ||||
\(623\) | −36.1397 | − | 49.7421i | −1.44791 | − | 1.99288i | ||||
\(624\) | 1.36659 | − | 7.34005i | 0.0547076 | − | 0.293837i | ||||
\(625\) | −22.6962 | − | 10.4826i | −0.907847 | − | 0.419302i | ||||
\(626\) | 4.17233 | 0.166760 | ||||||||
\(627\) | −30.2286 | + | 18.7276i | −1.20721 | + | 0.747910i | ||||
\(628\) | 42.5310 | + | 13.8192i | 1.69717 | + | 0.551444i | ||||
\(629\) | 7.89570 | − | 24.3005i | 0.314822 | − | 0.968923i | ||||
\(630\) | 76.2865 | − | 24.3591i | 3.03933 | − | 0.970490i | ||||
\(631\) | 10.0104 | + | 30.8090i | 0.398509 | + | 1.22649i | 0.926195 | + | 0.377046i | \(0.123060\pi\) |
−0.527685 | + | 0.849440i | \(0.676940\pi\) | |||||||
\(632\) | 31.6290 | 1.25813 | ||||||||
\(633\) | 3.23939 | + | 24.7618i | 0.128754 | + | 0.984191i | ||||
\(634\) | 5.94017 | − | 8.17594i | 0.235914 | − | 0.324708i | ||||
\(635\) | 7.05433 | + | 1.91631i | 0.279942 | + | 0.0760463i | ||||
\(636\) | 0.360797 | + | 0.758017i | 0.0143065 | + | 0.0300573i | ||||
\(637\) | 21.7777 | + | 15.8224i | 0.862865 | + | 0.626908i | ||||
\(638\) | −21.6897 | + | 38.0668i | −0.858703 | + | 1.50708i | ||||
\(639\) | −0.726286 | − | 2.72834i | −0.0287314 | − | 0.107932i | ||||
\(640\) | −16.3941 | − | 43.1525i | −0.648035 | − | 1.70575i | ||||
\(641\) | 20.9750 | − | 28.8696i | 0.828462 | − | 1.14028i | −0.159745 | − | 0.987158i | \(-0.551067\pi\) |
0.988207 | − | 0.153122i | \(-0.0489328\pi\) | |||||||
\(642\) | −27.3002 | + | 3.57148i | −1.07745 | + | 0.140955i | ||||
\(643\) | 19.5401i | 0.770587i | 0.922794 | + | 0.385293i | \(0.125900\pi\) | ||||
−0.922794 | + | 0.385293i | \(0.874100\pi\) | |||||||
\(644\) | −18.4432 | − | 56.7623i | −0.726764 | − | 2.23675i | ||||
\(645\) | −3.56655 | − | 19.7123i | −0.140433 | − | 0.776170i | ||||
\(646\) | −90.2137 | − | 29.3122i | −3.54941 | − | 1.15327i | ||||
\(647\) | 4.81679 | − | 14.8246i | 0.189368 | − | 0.582814i | −0.810629 | − | 0.585561i | \(-0.800874\pi\) |
0.999996 | + | 0.00274697i | \(0.000874390\pi\) | |||||||
\(648\) | −4.19347 | + | 38.6832i | −0.164735 | + | 1.51962i | ||||
\(649\) | −3.68950 | − | 33.2785i | −0.144826 | − | 1.30629i | ||||
\(650\) | 17.9931 | + | 3.95449i | 0.705748 | + | 0.155108i | ||||
\(651\) | −8.64238 | + | 46.4187i | −0.338722 | + | 1.81929i | ||||
\(652\) | 22.1905 | + | 30.5426i | 0.869048 | + | 1.19614i | ||||
\(653\) | 12.4383 | − | 38.2810i | 0.486747 | − | 1.49805i | −0.342688 | − | 0.939449i | \(-0.611337\pi\) |
0.829435 | − | 0.558603i | \(-0.188663\pi\) | |||||||
\(654\) | 68.5736 | + | 37.3049i | 2.68144 | + | 1.45874i | ||||
\(655\) | −2.41800 | + | 3.69543i | −0.0944791 | + | 0.144392i | ||||
\(656\) | −6.03636 | − | 18.5780i | −0.235680 | − | 0.725349i | ||||
\(657\) | −2.00986 | − | 0.775278i | −0.0784120 | − | 0.0302465i | ||||
\(658\) | 16.6857 | − | 5.42151i | 0.650476 | − | 0.211352i | ||||
\(659\) | 1.97854 | + | 1.43749i | 0.0770729 | + | 0.0559968i | 0.625655 | − | 0.780100i | \(-0.284832\pi\) |
−0.548582 | + | 0.836097i | \(0.684832\pi\) | |||||||
\(660\) | −40.1432 | + | 27.6743i | −1.56257 | + | 1.07722i | ||||
\(661\) | 23.8636 | − | 17.3379i | 0.928187 | − | 0.674367i | −0.0173611 | − | 0.999849i | \(-0.505526\pi\) |
0.945548 | + | 0.325482i | \(0.105526\pi\) | |||||||
\(662\) | −33.9110 | + | 46.6744i | −1.31799 | + | 1.81405i | ||||
\(663\) | 11.6046 | + | 12.2487i | 0.450685 | + | 0.475700i | ||||
\(664\) | −20.5532 | + | 14.9328i | −0.797620 | + | 0.579505i | ||||
\(665\) | 57.4338 | + | 37.5803i | 2.22719 | + | 1.45730i | ||||
\(666\) | −15.7505 | − | 24.3405i | −0.610318 | − | 0.943174i | ||||
\(667\) | 5.37661 | + | 16.5475i | 0.208183 | + | 0.640722i | ||||
\(668\) | 26.8598i | 1.03924i | ||||||||
\(669\) | −1.25262 | − | 9.57498i | −0.0484291 | − | 0.370190i | ||||
\(670\) | −0.610483 | − | 12.4717i | −0.0235850 | − | 0.481824i | ||||
\(671\) | −26.2056 | − | 5.41432i | −1.01165 | − | 0.209017i | ||||
\(672\) | −7.65852 | + | 14.0778i | −0.295434 | + | 0.543064i | ||||
\(673\) | −15.5957 | + | 11.3309i | −0.601170 | + | 0.436775i | −0.846294 | − | 0.532716i | \(-0.821171\pi\) |
0.245124 | + | 0.969492i | \(0.421171\pi\) | |||||||
\(674\) | 54.8977i | 2.11458i | ||||||||
\(675\) | −25.7257 | − | 3.63178i | −0.990182 | − | 0.139787i | ||||
\(676\) | 40.4545 | 1.55594 | ||||||||
\(677\) | −7.95613 | − | 10.9507i | −0.305779 | − | 0.420869i | 0.628280 | − | 0.777987i | \(-0.283759\pi\) |
−0.934059 | + | 0.357118i | \(0.883759\pi\) | |||||||
\(678\) | 18.0022 | − | 33.0914i | 0.691369 | − | 1.27087i | ||||
\(679\) | 1.35500 | + | 0.440267i | 0.0520002 | + | 0.0168959i | ||||
\(680\) | −59.3813 | − | 16.1309i | −2.27717 | − | 0.618592i | ||||
\(681\) | 4.30301 | + | 32.8920i | 0.164892 | + | 1.26043i | ||||
\(682\) | −4.83693 | − | 43.6280i | −0.185215 | − | 1.67060i | ||||
\(683\) | −14.6470 | − | 45.0789i | −0.560453 | − | 1.72490i | −0.681089 | − | 0.732201i | \(-0.738493\pi\) |
0.120635 | − | 0.992697i | \(-0.461507\pi\) | |||||||
\(684\) | −59.1803 | + | 38.2950i | −2.26281 | + | 1.46424i | ||||
\(685\) | −1.53422 | − | 31.3429i | −0.0586195 | − | 1.19755i | ||||
\(686\) | 74.2990 | + | 102.264i | 2.83675 | + | 3.90445i | ||||
\(687\) | −33.6685 | + | 31.8980i | −1.28453 | + | 1.21698i | ||||
\(688\) | −11.7858 | − | 8.56287i | −0.449329 | − | 0.326456i | ||||
\(689\) | 0.158102 | − | 0.114868i | 0.00602321 | − | 0.00437612i | ||||
\(690\) | −3.98407 | + | 29.2958i | −0.151671 | + | 1.11527i | ||||
\(691\) | 8.67115 | + | 6.29996i | 0.329866 | + | 0.239662i | 0.740374 | − | 0.672195i | \(-0.234648\pi\) |
−0.410508 | + | 0.911857i | \(0.634648\pi\) | |||||||
\(692\) | 18.0450 | − | 5.86317i | 0.685967 | − | 0.222884i | ||||
\(693\) | 47.7087 | + | 12.5759i | 1.81230 | + | 0.477719i | ||||
\(694\) | 17.6581 | + | 54.3460i | 0.670291 | + | 2.06294i | ||||
\(695\) | −6.97014 | + | 25.6585i | −0.264392 | + | 0.973284i | ||||
\(696\) | −19.6352 | + | 36.0933i | −0.744271 | + | 1.36811i | ||||
\(697\) | 41.9848 | + | 13.6417i | 1.59029 | + | 0.516716i | ||||
\(698\) | −15.2764 | + | 11.0989i | −0.578219 | + | 0.420100i | ||||
\(699\) | −2.20545 | − | 0.410619i | −0.0834179 | − | 0.0155310i | ||||
\(700\) | 81.1761 | + | 47.6168i | 3.06817 | + | 1.79974i | ||||
\(701\) | 49.0201 | 1.85146 | 0.925731 | − | 0.378183i | \(-0.123451\pi\) | ||||
0.925731 | + | 0.378183i | \(0.123451\pi\) | |||||||
\(702\) | 19.0899 | − | 1.45539i | 0.720501 | − | 0.0549302i | ||||
\(703\) | 7.67862 | − | 23.6324i | 0.289605 | − | 0.891311i | ||||
\(704\) | 6.79479 | − | 32.8871i | 0.256088 | − | 1.23948i | ||||
\(705\) | −5.64001 | − | 0.767010i | −0.212415 | − | 0.0288873i | ||||
\(706\) | −4.46839 | + | 1.45187i | −0.168170 | + | 0.0546418i | ||||
\(707\) | −9.83549 | −0.369902 | ||||||||
\(708\) | −8.60957 | − | 65.8112i | −0.323568 | − | 2.47333i | ||||
\(709\) | −17.8783 | − | 12.9893i | −0.671434 | − | 0.487825i | 0.199071 | − | 0.979985i | \(-0.436208\pi\) |
−0.870505 | + | 0.492160i | \(0.836208\pi\) | |||||||
\(710\) | 2.77392 | − | 4.23937i | 0.104103 | − | 0.159101i | ||||
\(711\) | 5.64588 | + | 21.2091i | 0.211737 | + | 0.795405i | ||||
\(712\) | 43.3684 | + | 31.5090i | 1.62530 | + | 1.18085i | ||||
\(713\) | −14.1028 | − | 10.2463i | −0.528153 | − | 0.383726i | ||||
\(714\) | 56.5632 | + | 118.837i | 2.11682 | + | 4.44735i | ||||
\(715\) | 8.04383 | + | 8.00776i | 0.300822 | + | 0.299473i | ||||
\(716\) | 2.15559 | − | 2.96691i | 0.0805580 | − | 0.110879i | ||||
\(717\) | 23.3017 | − | 3.04839i | 0.870219 | − | 0.113844i | ||||
\(718\) | 49.3304i | 1.84099i | ||||||||
\(719\) | −14.1223 | + | 4.58861i | −0.526672 | + | 0.171126i | −0.560271 | − | 0.828309i | \(-0.689303\pi\) |
0.0335990 | + | 0.999435i | \(0.489303\pi\) | |||||||
\(720\) | −15.3417 | + | 11.0277i | −0.571752 | + | 0.410979i | ||||
\(721\) | −44.2991 | − | 14.3936i | −1.64978 | − | 0.536047i | ||||
\(722\) | −44.2306 | − | 14.3714i | −1.64609 | − | 0.534848i | ||||
\(723\) | −26.4739 | + | 12.6009i | −0.984573 | + | 0.468631i | ||||
\(724\) | −36.4177 | −1.35345 | ||||||||
\(725\) | −23.6647 | − | 13.8814i | −0.878884 | − | 0.515541i | ||||
\(726\) | −45.8371 | + | 1.68562i | −1.70117 | + | 0.0625592i | ||||
\(727\) | −17.1976 | − | 23.6705i | −0.637825 | − | 0.877891i | 0.360672 | − | 0.932693i | \(-0.382547\pi\) |
−0.998497 | + | 0.0548013i | \(0.982547\pi\) | |||||||
\(728\) | −31.2042 | − | 10.1389i | −1.15650 | − | 0.375771i | ||||
\(729\) | −26.6879 | + | 4.09311i | −0.988442 | + | 0.151597i | ||||
\(730\) | −1.37282 | − | 3.61352i | −0.0508103 | − | 0.133742i | ||||
\(731\) | 31.3112 | − | 10.1736i | 1.15809 | − | 0.376286i | ||||
\(732\) | −52.1482 | − | 9.70912i | −1.92745 | − | 0.358859i | ||||
\(733\) | 5.37603 | + | 16.5457i | 0.198568 | + | 0.611130i | 0.999916 | + | 0.0129319i | \(0.00411646\pi\) |
−0.801348 | + | 0.598198i | \(0.795884\pi\) | |||||||
\(734\) | 72.3979 | + | 52.6002i | 2.67226 | + | 1.94151i | ||||
\(735\) | −12.1282 | − | 67.0322i | −0.447354 | − | 2.47252i | ||||
\(736\) | −3.47779 | − | 4.78677i | −0.128193 | − | 0.176443i | ||||
\(737\) | 3.80852 | − | 6.68420i | 0.140289 | − | 0.246216i | ||||
\(738\) | 42.0539 | − | 27.2127i | 1.54803 | − | 1.00171i | ||||
\(739\) | 18.8005 | + | 25.8766i | 0.691587 | + | 0.951887i | 1.00000 | 0.000634867i | \(0.000202084\pi\) | |
−0.308413 | + | 0.951253i | \(0.599798\pi\) | |||||||
\(740\) | 8.93178 | − | 32.8798i | 0.328339 | − | 1.20868i | ||||
\(741\) | 11.2855 | + | 11.9119i | 0.414585 | + | 0.437596i | ||||
\(742\) | 1.44973 | − | 0.471047i | 0.0532213 | − | 0.0172927i | ||||
\(743\) | 21.8957i | 0.803274i | 0.915799 | + | 0.401637i | \(0.131559\pi\) | ||||
−0.915799 | + | 0.401637i | \(0.868441\pi\) | |||||||
\(744\) | −5.33997 | − | 40.8185i | −0.195773 | − | 1.49648i | ||||
\(745\) | −13.2333 | − | 16.4575i | −0.484830 | − | 0.602957i | ||||
\(746\) | 46.9265 | + | 15.2474i | 1.71810 | + | 0.558245i | ||||
\(747\) | −13.6822 | − | 11.1166i | −0.500604 | − | 0.406736i | ||||
\(748\) | −53.9575 | − | 59.2437i | −1.97288 | − | 2.16616i | ||||
\(749\) | 32.7417i | 1.19636i | ||||||||
\(750\) | −25.9753 | − | 38.7132i | −0.948484 | − | 1.41361i | ||||
\(751\) | 32.1837 | 1.17440 | 0.587201 | − | 0.809441i | \(-0.300230\pi\) | ||||
0.587201 | + | 0.809441i | \(0.300230\pi\) | |||||||
\(752\) | −3.34878 | + | 2.43303i | −0.122117 | + | 0.0887235i | ||||
\(753\) | 12.4812 | − | 22.9429i | 0.454841 | − | 0.836084i | ||||
\(754\) | 19.2278 | + | 6.24749i | 0.700236 | + | 0.227520i | ||||
\(755\) | −19.8841 | + | 15.9886i | −0.723656 | + | 0.581884i | ||||
\(756\) | 95.0447 | + | 23.0645i | 3.45674 | + | 0.838847i | ||||
\(757\) | − | 6.12488i | − | 0.222613i | −0.993786 | − | 0.111306i | \(-0.964497\pi\) | ||
0.993786 | − | 0.111306i | \(-0.0355035\pi\) | |||||||
\(758\) | 39.1454 | − | 12.7191i | 1.42182 | − | 0.461978i | ||||
\(759\) | −11.7622 | + | 13.9087i | −0.426942 | + | 0.504854i | ||||
\(760\) | −57.7487 | − | 15.6874i | −2.09476 | − | 0.569042i | ||||
\(761\) | 7.06306 | − | 5.13161i | 0.256036 | − | 0.186021i | −0.452362 | − | 0.891834i | \(-0.649418\pi\) |
0.708397 | + | 0.705814i | \(0.249418\pi\) | |||||||
\(762\) | 9.37534 | + | 9.89571i | 0.339633 | + | 0.358484i | ||||
\(763\) | 54.5657 | − | 75.1032i | 1.97541 | − | 2.71892i | ||||
\(764\) | 14.2817 | + | 19.6571i | 0.516695 | + | 0.711170i | ||||
\(765\) | 0.216975 | − | 42.6982i | 0.00784475 | − | 1.54376i | ||||
\(766\) | 38.9097 | − | 53.5547i | 1.40587 | − | 1.93501i | ||||
\(767\) | −14.6943 | + | 4.77447i | −0.530580 | + | 0.172396i | ||||
\(768\) | 9.33630 | − | 50.1457i | 0.336895 | − | 1.80948i | ||||
\(769\) | −7.74735 | + | 2.51727i | −0.279377 | + | 0.0907750i | −0.445354 | − | 0.895355i | \(-0.646922\pi\) |
0.165977 | + | 0.986130i | \(0.446922\pi\) | |||||||
\(770\) | 40.3704 | + | 78.7930i | 1.45485 | + | 2.83950i | ||||
\(771\) | −29.9357 | − | 16.2854i | −1.07811 | − | 0.586505i | ||||
\(772\) | −1.47616 | + | 4.54314i | −0.0531280 | + | 0.163511i | ||||
\(773\) | 6.40773 | − | 4.65549i | 0.230470 | − | 0.167446i | −0.466557 | − | 0.884491i | \(-0.654506\pi\) |
0.697027 | + | 0.717045i | \(0.254506\pi\) | |||||||
\(774\) | 13.4442 | − | 34.8532i | 0.483242 | − | 1.25277i | ||||
\(775\) | 27.3560 | − | 2.68456i | 0.982658 | − | 0.0964322i | ||||
\(776\) | −1.24218 | −0.0445915 | ||||||||
\(777\) | −31.1304 | + | 14.8173i | −1.11680 | + | 0.531567i | ||||
\(778\) | −7.02993 | + | 21.6359i | −0.252035 | + | 0.775684i | ||||
\(779\) | 40.8305 | + | 13.2666i | 1.46290 | + | 0.475326i | ||||
\(780\) | 16.2543 | + | 15.5571i | 0.581999 | + | 0.557033i | ||||
\(781\) | 2.84420 | − | 1.28579i | 0.101774 | − | 0.0460090i | ||||
\(782\) | −48.5901 | −1.73758 | ||||||||
\(783\) | −27.7077 | − | 6.72382i | −0.990193 | − | 0.240290i | ||||
\(784\) | −40.0779 | − | 29.1183i | −1.43135 | − | 1.03994i | ||||
\(785\) | −20.5301 | + | 16.5080i | −0.732752 | + | 0.589197i | ||||
\(786\) | −7.43600 | + | 3.53934i | −0.265233 | + | 0.126244i | ||||
\(787\) | −23.3785 | − | 16.9854i | −0.833352 | − | 0.605466i | 0.0871536 | − | 0.996195i | \(-0.472223\pi\) |
−0.920506 | + | 0.390729i | \(0.872223\pi\) | |||||||
\(788\) | −11.2354 | + | 15.4642i | −0.400246 | + | 0.550891i | ||||
\(789\) | −10.9951 | + | 5.23340i | −0.391437 | + | 0.186314i | ||||
\(790\) | −21.5634 | + | 32.9553i | −0.767192 | + | 1.17250i | ||||
\(791\) | −36.2424 | − | 26.3317i | −1.28863 | − | 0.936246i | ||||
\(792\) | −42.9480 | + | 2.42590i | −1.52609 | + | 0.0862005i | ||||
\(793\) | 12.3480i | 0.438491i | ||||||||
\(794\) | 10.6571 | + | 32.7993i | 0.378207 | + | 1.16400i | ||||
\(795\) | −0.490031 | − | 0.0666415i | −0.0173796 | − | 0.00236353i | ||||
\(796\) | 9.19748 | − | 28.3069i | 0.325996 | − | 1.00331i | ||||
\(797\) | 1.47270 | − | 4.53250i | 0.0521657 | − | 0.160550i | −0.921580 | − | 0.388189i | \(-0.873101\pi\) |
0.973745 | + | 0.227639i | \(0.0731008\pi\) | |||||||
\(798\) | 55.0080 | + | 115.569i | 1.94726 | + | 4.09111i | ||||
\(799\) | − | 9.35453i | − | 0.330940i | ||||||
\(800\) | 9.11232 | + | 2.00269i | 0.322169 | + | 0.0708057i | ||||
\(801\) | −13.3873 | + | 34.7056i | −0.473016 | + | 1.22626i | ||||
\(802\) | 52.2892 | − | 37.9904i | 1.84640 | − | 1.34149i | ||||
\(803\) | 0.481875 | − | 2.33230i | 0.0170050 | − | 0.0823051i | ||||
\(804\) | 7.28758 | − | 13.3960i | 0.257013 | − | 0.472439i | ||||
\(805\) | 33.9292 | + | 9.21687i | 1.19585 | + | 0.324852i | ||||
\(806\) | −19.2642 | + | 6.25931i | −0.678552 | + | 0.220475i | ||||
\(807\) | 41.7252 | + | 7.76853i | 1.46880 | + | 0.273465i | ||||
\(808\) | 8.15552 | − | 2.64989i | 0.286910 | − | 0.0932228i | ||||
\(809\) | −10.5403 | − | 7.65798i | −0.370577 | − | 0.269240i | 0.386873 | − | 0.922133i | \(-0.373555\pi\) |
−0.757450 | + | 0.652893i | \(0.773555\pi\) | |||||||
\(810\) | −37.4464 | − | 30.7420i | −1.31573 | − | 1.08016i | ||||
\(811\) | 7.70056 | + | 10.5989i | 0.270403 | + | 0.372178i | 0.922526 | − | 0.385935i | \(-0.126121\pi\) |
−0.652122 | + | 0.758114i | \(0.726121\pi\) | |||||||
\(812\) | 83.5551 | + | 60.7063i | 2.93221 | + | 2.13037i | ||||
\(813\) | 11.5193 | + | 12.1587i | 0.404000 | + | 0.426423i | ||||
\(814\) | 23.6966 | − | 21.5822i | 0.830566 | − | 0.756457i | ||||
\(815\) | −22.2132 | + | 1.08732i | −0.778093 | + | 0.0380872i | ||||
\(816\) | −21.3561 | − | 22.5415i | −0.747615 | − | 0.789110i | ||||
\(817\) | 30.4504 | − | 9.89393i | 1.06532 | − | 0.346145i | ||||
\(818\) | −58.5556 | −2.04735 | ||||||||
\(819\) | 1.22865 | − | 22.7341i | 0.0429326 | − | 0.794394i | ||||
\(820\) | 56.8076 | + | 15.4318i | 1.98381 | + | 0.538900i | ||||
\(821\) | 14.5397 | − | 44.7485i | 0.507437 | − | 1.56173i | −0.289197 | − | 0.957270i | \(-0.593388\pi\) |
0.796634 | − | 0.604462i | \(-0.206612\pi\) | |||||||
\(822\) | 27.9645 | − | 51.4041i | 0.975373 | − | 1.79292i | ||||
\(823\) | 1.29899 | + | 1.78791i | 0.0452800 | + | 0.0623226i | 0.831057 | − | 0.556188i | \(-0.187736\pi\) |
−0.785777 | + | 0.618510i | \(0.787736\pi\) | |||||||
\(824\) | 40.6104 | 1.41473 | ||||||||
\(825\) | −0.693928 | − | 28.7144i | −0.0241595 | − | 0.999708i | ||||
\(826\) | −120.516 | −4.19328 | ||||||||
\(827\) | 2.33377 | + | 3.21216i | 0.0811530 | + | 0.111698i | 0.847664 | − | 0.530534i | \(-0.178009\pi\) |
−0.766510 | + | 0.642232i | \(0.778009\pi\) | |||||||
\(828\) | −22.7695 | + | 28.0243i | −0.791295 | + | 0.973913i | ||||
\(829\) | 10.8712 | − | 33.4582i | 0.377573 | − | 1.16205i | −0.564153 | − | 0.825670i | \(-0.690797\pi\) |
0.941726 | − | 0.336380i | \(-0.109203\pi\) | |||||||
\(830\) | −1.54659 | − | 31.5957i | −0.0536830 | − | 1.09670i | ||||
\(831\) | 22.1510 | − | 2.89784i | 0.768409 | − | 0.100525i | ||||
\(832\) | −15.4964 | −0.537239 | ||||||||
\(833\) | 106.475 | − | 34.5958i | 3.68914 | − | 1.19867i | ||||
\(834\) | −35.9934 | + | 34.1007i | −1.24635 | + | 1.18081i | ||||
\(835\) | −13.2403 | − | 8.66346i | −0.458201 | − | 0.299811i | ||||
\(836\) | −52.4740 | − | 57.6148i | −1.81485 | − | 1.99265i | ||||
\(837\) | 26.4180 | − | 10.8670i | 0.913141 | − | 0.375619i | ||||
\(838\) | −35.2048 | − | 25.5778i | −1.21613 | − | 0.883570i | ||||
\(839\) | 12.4401 | + | 17.1223i | 0.429479 | + | 0.591127i | 0.967834 | − | 0.251591i | \(-0.0809539\pi\) |
−0.538355 | + | 0.842718i | \(0.680954\pi\) | |||||||
\(840\) | 39.3064 | + | 73.1356i | 1.35620 | + | 2.52342i | ||||
\(841\) | −0.896709 | − | 0.651497i | −0.0309210 | − | 0.0224654i | ||||
\(842\) | 48.3255 | − | 15.7019i | 1.66541 | − | 0.541123i | ||||
\(843\) | 2.98148 | − | 16.0137i | 0.102688 | − | 0.551540i | ||||
\(844\) | −52.0494 | + | 16.9119i | −1.79162 | + | 0.582131i | ||||
\(845\) | −13.0483 | + | 19.9417i | −0.448876 | + | 0.686016i | ||||
\(846\) | −8.23796 | − | 6.69326i | −0.283227 | − | 0.230119i | ||||
\(847\) | −5.08314 | + | 54.3083i | −0.174659 | + | 1.86605i | ||||
\(848\) | −0.290958 | + | 0.211393i | −0.00999154 | + | 0.00725928i | ||||
\(849\) | 7.88612 | − | 42.3568i | 0.270651 | − | 1.45368i | ||||
\(850\) | 57.2912 | − | 50.8740i | 1.96507 | − | 1.74496i | ||||
\(851\) | − | 12.7286i | − | 0.436332i | ||||||
\(852\) | 5.58684 | − | 2.65919i | 0.191402 | − | 0.0911024i | ||||
\(853\) | −13.0791 | + | 40.2535i | −0.447821 | + | 1.37825i | 0.431539 | + | 0.902094i | \(0.357971\pi\) |
−0.879360 | + | 0.476158i | \(0.842029\pi\) | |||||||
\(854\) | −29.7633 | + | 91.6020i | −1.01848 | + | 3.13456i | ||||
\(855\) | 0.211010 | − | 41.5242i | 0.00721638 | − | 1.42010i | ||||
\(856\) | −8.82130 | − | 27.1492i | −0.301506 | − | 0.927940i | ||||
\(857\) | 35.4565i | 1.21117i | 0.795780 | + | 0.605586i | \(0.207061\pi\) | ||||
−0.795780 | + | 0.605586i | \(0.792939\pi\) | |||||||
\(858\) | 5.04147 | + | 20.5567i | 0.172113 | + | 0.701795i | ||||
\(859\) | 25.0513 | + | 18.2009i | 0.854740 | + | 0.621005i | 0.926449 | − | 0.376420i | \(-0.122845\pi\) |
−0.0717086 | + | 0.997426i | \(0.522845\pi\) | |||||||
\(860\) | 41.0392 | − | 15.5912i | 1.39942 | − | 0.531657i | ||||
\(861\) | −25.6004 | − | 53.7852i | −0.872458 | − | 1.83299i | ||||
\(862\) | −27.8627 | + | 38.3497i | −0.949008 | + | 1.30620i | ||||
\(863\) | −38.4427 | − | 27.9303i | −1.30861 | − | 0.950758i | −0.308606 | − | 0.951190i | \(-0.599862\pi\) |
−1.00000 | 0.000432303i | \(0.999862\pi\) | ||||||||
\(864\) | 9.66775 | − | 0.737059i | 0.328904 | − | 0.0250752i | ||||
\(865\) | −2.93008 | + | 10.7862i | −0.0996257 | + | 0.366743i | ||||
\(866\) | −18.1828 | − | 13.2106i | −0.617877 | − | 0.448914i | ||||
\(867\) | 40.3852 | − | 5.28329i | 1.37155 | − | 0.179430i | ||||
\(868\) | −103.475 | −3.51217 | ||||||||
\(869\) | −22.1098 | + | 9.99523i | −0.750024 | + | 0.339065i | ||||
\(870\) | −24.2203 | − | 45.0656i | −0.821146 | − | 1.52787i | ||||
\(871\) | −3.37623 | − | 1.09700i | −0.114399 | − | 0.0371706i | ||||
\(872\) | −25.0111 | + | 76.9762i | −0.846982 | + | 2.60674i | ||||
\(873\) | −0.221733 | − | 0.832954i | −0.00750452 | − | 0.0281912i | ||||
\(874\) | −47.2542 | −1.59840 | ||||||||
\(875\) | −49.6551 | + | 24.6567i | −1.67865 | + | 0.833547i | ||||
\(876\) | 0.864113 | − | 4.64120i | 0.0291957 | − | 0.156812i | ||||
\(877\) | 16.0137 | − | 11.6347i | 0.540746 | − | 0.392875i | −0.283616 | − | 0.958938i | \(-0.591534\pi\) |
0.824362 | + | 0.566063i | \(0.191534\pi\) | |||||||
\(878\) | −1.27525 | + | 3.92482i | −0.0430376 | + | 0.132456i | ||||
\(879\) | −22.6071 | + | 41.5562i | −0.762519 | + | 1.40166i | ||||
\(880\) | −14.8032 | − | 14.7368i | −0.499016 | − | 0.496778i | ||||
\(881\) | −19.5852 | + | 6.36360i | −0.659841 | + | 0.214395i | −0.619748 | − | 0.784801i | \(-0.712765\pi\) |
−0.0400925 | + | 0.999196i | \(0.512765\pi\) | |||||||
\(882\) | 45.7174 | − | 118.519i | 1.53939 | − | 3.99076i | ||||
\(883\) | −40.5617 | + | 13.1793i | −1.36501 | + | 0.443518i | −0.897712 | − | 0.440582i | \(-0.854772\pi\) |
−0.467296 | + | 0.884101i | \(0.654772\pi\) | |||||||
\(884\) | −21.7347 | + | 29.9153i | −0.731018 | + | 1.00616i | ||||
\(885\) | 35.2180 | + | 16.9829i | 1.18384 | + | 0.570875i | ||||
\(886\) | 10.9749 | + | 15.1057i | 0.368709 | + | 0.507485i | ||||
\(887\) | −9.23778 | + | 12.7147i | −0.310174 | + | 0.426918i | −0.935436 | − | 0.353497i | \(-0.884992\pi\) |
0.625261 | + | 0.780415i | \(0.284992\pi\) | |||||||
\(888\) | 21.8210 | − | 20.6736i | 0.732266 | − | 0.693760i | ||||
\(889\) | 13.1146 | − | 9.52833i | 0.439850 | − | 0.319570i | ||||
\(890\) | −62.3972 | + | 23.7054i | −2.09156 | + | 0.794607i | ||||
\(891\) | −9.29307 | − | 28.3662i | −0.311330 | − | 0.950302i | ||||
\(892\) | 20.1267 | − | 6.53956i | 0.673892 | − | 0.218961i | ||||
\(893\) | − | 9.09734i | − | 0.304431i | ||||||
\(894\) | −5.10837 | − | 39.0481i | −0.170849 | − | 1.30597i | ||||
\(895\) | 0.767244 | + | 2.01953i | 0.0256462 | + | 0.0675056i | ||||
\(896\) | −97.3578 | − | 31.6335i | −3.25249 | − | 1.05680i | ||||
\(897\) | 7.38366 | + | 4.01681i | 0.246533 | + | 0.134117i | ||||
\(898\) | −9.72736 | + | 7.06734i | −0.324606 | + | 0.235840i | ||||
\(899\) | 30.1653 | 1.00607 | ||||||||
\(900\) | −2.49469 | − | 56.8824i | −0.0831563 | − | 1.89608i | ||||
\(901\) | − | 0.812766i | − | 0.0270772i | ||||||
\(902\) | 37.2884 | + | 40.9415i | 1.24157 | + | 1.36320i | ||||
\(903\) | −39.0229 | − | 21.2289i | −1.29860 | − | 0.706455i | ||||
\(904\) | 37.1463 | + | 12.0696i | 1.23547 | + | 0.401427i | ||||
\(905\) | 11.7463 | − | 17.9518i | 0.390459 | − | 0.596738i | ||||
\(906\) | −47.1783 | + | 6.17197i | −1.56739 | + | 0.205050i | ||||
\(907\) | − | 5.74334i | − | 0.190705i | −0.995444 | − | 0.0953523i | \(-0.969602\pi\) | ||
0.995444 | − | 0.0953523i | \(-0.0303978\pi\) | |||||||
\(908\) | −69.1394 | + | 22.4647i | −2.29447 | + | 0.745519i | ||||
\(909\) | 3.23270 | + | 4.99575i | 0.107222 | + | 0.165699i | ||||
\(910\) | 31.8378 | − | 25.6004i | 1.05541 | − | 0.848646i | ||||
\(911\) | −11.0306 | − | 15.1823i | −0.365460 | − | 0.503012i | 0.586200 | − | 0.810166i | \(-0.300623\pi\) |
−0.951660 | + | 0.307154i | \(0.900623\pi\) | |||||||
\(912\) | −20.7690 | − | 21.9217i | −0.687730 | − | 0.725901i | ||||
\(913\) | 9.64847 | − | 16.9337i | 0.319318 | − | 0.560424i | ||||
\(914\) | −34.2917 | − | 47.1985i | −1.13427 | − | 1.56119i | ||||
\(915\) | 21.6061 | − | 22.5744i | 0.714275 | − | 0.746287i | ||||
\(916\) | −82.2292 | − | 59.7430i | −2.71693 | − | 1.97396i | ||||
\(917\) | 3.02632 | + | 9.31404i | 0.0999377 | + | 0.307577i | ||||
\(918\) | 41.7698 | − | 67.7891i | 1.37861 | − | 2.23737i | ||||
\(919\) | 4.34001 | − | 1.41015i | 0.143164 | − | 0.0465167i | −0.236559 | − | 0.971617i | \(-0.576020\pi\) |
0.379722 | + | 0.925101i | \(0.376020\pi\) | |||||||
\(920\) | −30.6171 | + | 1.49869i | −1.00942 | + | 0.0494104i | ||||
\(921\) | 44.7852 | + | 24.3637i | 1.47572 | + | 0.802813i | ||||
\(922\) | −5.32386 | − | 1.72983i | −0.175332 | − | 0.0569689i | ||||
\(923\) | −0.846615 | − | 1.16527i | −0.0278667 | − | 0.0383552i | ||||
\(924\) | −7.95722 | + | 107.832i | −0.261773 | + | 3.54742i | ||||
\(925\) | 13.3269 | + | 15.0080i | 0.438187 | + | 0.493460i | ||||
\(926\) | −57.3914 | −1.88600 | ||||||||
\(927\) | 7.24911 | + | 27.2317i | 0.238092 | + | 0.894408i | ||||
\(928\) | 9.73761 | + | 3.16394i | 0.319653 | + | 0.103861i | ||||
\(929\) | −47.0291 | − | 15.2807i | −1.54298 | − | 0.501343i | −0.590780 | − | 0.806833i | \(-0.701180\pi\) |
−0.952195 | + | 0.305490i | \(0.901180\pi\) | |||||||
\(930\) | 46.1708 | + | 22.2646i | 1.51400 | + | 0.730084i | ||||
\(931\) | 103.547 | − | 33.6446i | 3.39363 | − | 1.10266i | ||||
\(932\) | − | 4.91633i | − | 0.161040i | ||||||
\(933\) | 6.06165 | + | 46.3350i | 0.198449 | + | 1.51694i | ||||
\(934\) | −32.3829 | + | 44.5712i | −1.05960 | + | 1.45841i | ||||
\(935\) | 46.6073 | − | 7.48928i | 1.52422 | − | 0.244926i | ||||
\(936\) | 5.10626 | + | 19.1820i | 0.166903 | + | 0.626983i | ||||
\(937\) | 34.1075 | + | 24.7805i | 1.11424 | + | 0.809545i | 0.983327 | − | 0.181849i | \(-0.0582081\pi\) |
0.130916 | + | 0.991393i | \(0.458208\pi\) | |||||||
\(938\) | −22.4019 | − | 16.2759i | −0.731449 | − | 0.531429i | ||||
\(939\) | −2.71044 | + | 1.29010i | −0.0884518 | + | 0.0421008i | ||||
\(940\) | −0.609861 | − | 12.4590i | −0.0198915 | − | 0.406368i | ||||
\(941\) | −24.1952 | − | 17.5788i | −0.788740 | − | 0.573053i | 0.118849 | − | 0.992912i | \(-0.462079\pi\) |
−0.907589 | + | 0.419859i | \(0.862079\pi\) | |||||||
\(942\) | −48.7111 | + | 6.37250i | −1.58709 | + | 0.207627i | ||||
\(943\) | 21.9918 | 0.716150 | ||||||||
\(944\) | 27.0422 | − | 8.78653i | 0.880147 | − | 0.285977i | ||||
\(945\) | −42.0255 | + | 39.4123i | −1.36709 | + | 1.28208i | ||||
\(946\) | 40.4447 | + | 8.35626i | 1.31497 | + | 0.271685i | ||||
\(947\) | −13.9935 | + | 43.0675i | −0.454727 | + | 1.39951i | 0.416729 | + | 0.909031i | \(0.363177\pi\) |
−0.871455 | + | 0.490475i | \(0.836823\pi\) | |||||||
\(948\) | −43.4301 | + | 20.6716i | −1.41054 | + | 0.671382i | ||||
\(949\) | −1.09898 | −0.0356742 | ||||||||
\(950\) | 55.7161 | − | 49.4752i | 1.80767 | − | 1.60519i | ||||
\(951\) | −1.33084 | + | 7.14799i | −0.0431553 | + | 0.231790i | ||||
\(952\) | −110.395 | + | 80.2068i | −3.57793 | + | 2.59952i | ||||
\(953\) | 0.663543 | + | 0.215598i | 0.0214943 | + | 0.00698391i | 0.319744 | − | 0.947504i | \(-0.396403\pi\) |
−0.298250 | + | 0.954488i | \(0.596403\pi\) | |||||||
\(954\) | −0.715753 | − | 0.581542i | −0.0231734 | − | 0.0188281i | ||||
\(955\) | −14.2963 | + | 0.699796i | −0.462617 | + | 0.0226449i | ||||
\(956\) | 15.9147 | + | 48.9804i | 0.514718 | + | 1.58414i | ||||
\(957\) | 2.31971 | − | 31.4356i | 0.0749856 | − | 1.01617i | ||||
\(958\) | −44.7064 | + | 14.5260i | −1.44440 | + | 0.469313i | ||||
\(959\) | −56.2988 | − | 40.9034i | −1.81798 | − | 1.32084i | ||||
\(960\) | 28.3302 | + | 27.1149i | 0.914352 | + | 0.875130i | ||||
\(961\) | 0.629082 | − | 0.457055i | 0.0202930 | − | 0.0147437i | ||||
\(962\) | −11.9657 | − | 8.69357i | −0.385789 | − | 0.280292i | ||||
\(963\) | 16.6305 | − | 10.7614i | 0.535911 | − | 0.346783i | ||||
\(964\) | −37.7678 | − | 51.9830i | −1.21642 | − | 1.67426i | ||||
\(965\) | −1.76338 | − | 2.19302i | −0.0567652 | − | 0.0705957i | ||||
\(966\) | 45.0926 | + | 47.5955i | 1.45083 | + | 1.53136i | ||||
\(967\) | 14.8366 | + | 45.6624i | 0.477114 | + | 1.46840i | 0.843086 | + | 0.537779i | \(0.180737\pi\) |
−0.365972 | + | 0.930626i | \(0.619263\pi\) | |||||||
\(968\) | −10.4169 | − | 46.4015i | −0.334811 | − | 1.49140i | ||||
\(969\) | 67.6683 | − | 8.85252i | 2.17382 | − | 0.284384i | ||||
\(970\) | 0.846868 | − | 1.29427i | 0.0271913 | − | 0.0415564i | ||||
\(971\) | 40.8869 | + | 13.2850i | 1.31212 | + | 0.426335i | 0.879783 | − | 0.475376i | \(-0.157688\pi\) |
0.432340 | + | 0.901710i | \(0.357688\pi\) | |||||||
\(972\) | −19.5239 | − | 55.8570i | −0.626228 | − | 1.79161i | ||||
\(973\) | 34.6572 | + | 47.7015i | 1.11106 | + | 1.52924i | ||||
\(974\) | 31.9155 | 1.02264 | ||||||||
\(975\) | −12.9115 | + | 2.99461i | −0.413498 | + | 0.0959042i | ||||
\(976\) | − | 22.7243i | − | 0.727386i | ||||||
\(977\) | 0.633566 | − | 0.460313i | 0.0202696 | − | 0.0147267i | −0.577604 | − | 0.816317i | \(-0.696012\pi\) |
0.597874 | + | 0.801590i | \(0.296012\pi\) | |||||||
\(978\) | −36.4308 | − | 19.8188i | −1.16493 | − | 0.633736i | ||||
\(979\) | −40.2734 | − | 8.32087i | −1.28714 | − | 0.265936i | ||||
\(980\) | 139.555 | − | 53.0185i | 4.45792 | − | 1.69361i | ||||
\(981\) | −56.0818 | − | 3.03091i | −1.79055 | − | 0.0967695i | ||||
\(982\) | 13.0758i | 0.417267i | ||||||||
\(983\) | 10.2129 | + | 31.4321i | 0.325741 | + | 1.00253i | 0.971105 | + | 0.238653i | \(0.0767059\pi\) |
−0.645364 | + | 0.763876i | \(0.723294\pi\) | |||||||
\(984\) | 35.7185 | + | 37.7010i | 1.13866 | + | 1.20186i | ||||
\(985\) | −3.99906 | − | 10.5263i | −0.127421 | − | 0.335396i | ||||
\(986\) | 68.0247 | − | 49.4229i | 2.16635 | − | 1.57394i | ||||
\(987\) | −9.16304 | + | 8.68120i | −0.291663 | + | 0.276326i | ||||
\(988\) | −21.1371 | + | 29.0928i | −0.672462 | + | 0.925565i | ||||
\(989\) | 13.2686 | − | 9.64021i | 0.421917 | − | 0.306541i | ||||
\(990\) | 26.7526 | − | 46.4028i | 0.850254 | − | 1.47478i | ||||
\(991\) | 28.0926 | + | 20.4104i | 0.892390 | + | 0.648359i | 0.936500 | − | 0.350667i | \(-0.114045\pi\) |
−0.0441102 | + | 0.999027i | \(0.514045\pi\) | |||||||
\(992\) | −9.75603 | + | 3.16993i | −0.309754 | + | 0.100645i | ||||
\(993\) | 7.59742 | − | 40.8061i | 0.241097 | − | 1.29494i | ||||
\(994\) | −3.47177 | − | 10.6850i | −0.110118 | − | 0.338908i | ||||
\(995\) | 10.9871 | + | 13.6640i | 0.348314 | + | 0.433179i | ||||
\(996\) | 18.4623 | − | 33.9372i | 0.585000 | − | 1.07534i | ||||
\(997\) | −15.7401 | + | 48.4431i | −0.498495 | + | 1.53421i | 0.312944 | + | 0.949772i | \(0.398685\pi\) |
−0.811438 | + | 0.584438i | \(0.801315\pi\) | |||||||
\(998\) | 9.76508 | + | 13.4405i | 0.309108 | + | 0.425451i | ||||
\(999\) | 17.7580 | + | 10.9420i | 0.561839 | + | 0.346190i |
(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 | 825.2.ce.c.164.13 | ✓ | 448 | |
3.2 | odd | 2 | inner | 825.2.ce.c.164.100 | yes | 448 | |
11.10 | odd | 2 | inner | 825.2.ce.c.164.99 | yes | 448 | |
25.9 | even | 10 | inner | 825.2.ce.c.659.14 | yes | 448 | |
33.32 | even | 2 | inner | 825.2.ce.c.164.14 | yes | 448 | |
75.59 | odd | 10 | inner | 825.2.ce.c.659.99 | yes | 448 | |
275.109 | odd | 10 | inner | 825.2.ce.c.659.100 | yes | 448 | |
825.659 | even | 10 | inner | 825.2.ce.c.659.13 | yes | 448 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
825.2.ce.c.164.13 | ✓ | 448 | 1.1 | even | 1 | trivial | |
825.2.ce.c.164.14 | yes | 448 | 33.32 | even | 2 | inner | |
825.2.ce.c.164.99 | yes | 448 | 11.10 | odd | 2 | inner | |
825.2.ce.c.164.100 | yes | 448 | 3.2 | odd | 2 | inner | |
825.2.ce.c.659.13 | yes | 448 | 825.659 | even | 10 | inner | |
825.2.ce.c.659.14 | yes | 448 | 25.9 | even | 10 | inner | |
825.2.ce.c.659.99 | yes | 448 | 75.59 | odd | 10 | inner | |
825.2.ce.c.659.100 | yes | 448 | 275.109 | odd | 10 | inner |