Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(7,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([33, 0, 23]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.bf (of order \(66\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(680\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 7.3 | ||
Character | \(\chi\) | \(=\) | 804.7 |
Dual form | 804.2.bf.b.115.3 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{23}{66}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39654 | + | 0.222851i | −0.987506 | + | 0.157580i | ||||
\(3\) | 0.959493 | + | 0.281733i | 0.553964 | + | 0.162658i | ||||
\(4\) | 1.90067 | − | 0.622444i | 0.950337 | − | 0.311222i | ||||
\(5\) | 0.851506 | + | 0.737834i | 0.380805 | + | 0.329970i | 0.824140 | − | 0.566387i | \(-0.191659\pi\) |
−0.443334 | + | 0.896356i | \(0.646205\pi\) | |||||||
\(6\) | −1.40276 | − | 0.179628i | −0.572674 | − | 0.0733327i | ||||
\(7\) | −0.200085 | + | 4.20030i | −0.0756249 | + | 1.58756i | 0.568527 | + | 0.822665i | \(0.307514\pi\) |
−0.644152 | + | 0.764898i | \(0.722789\pi\) | |||||||
\(8\) | −2.51566 | + | 1.29284i | −0.889422 | + | 0.457088i | ||||
\(9\) | 0.841254 | + | 0.540641i | 0.280418 | + | 0.180214i | ||||
\(10\) | −1.35359 | − | 0.840659i | −0.428044 | − | 0.265840i | ||||
\(11\) | 5.02159 | + | 0.967831i | 1.51406 | + | 0.291812i | 0.877562 | − | 0.479462i | \(-0.159168\pi\) |
0.636503 | + | 0.771275i | \(0.280380\pi\) | |||||||
\(12\) | 1.99905 | − | 0.0617487i | 0.577075 | − | 0.0178253i | ||||
\(13\) | −1.62754 | + | 4.06539i | −0.451397 | + | 1.12754i | 0.511887 | + | 0.859053i | \(0.328947\pi\) |
−0.963284 | + | 0.268483i | \(0.913478\pi\) | |||||||
\(14\) | −0.656615 | − | 5.91049i | −0.175488 | − | 1.57965i | ||||
\(15\) | 0.609142 | + | 0.947844i | 0.157280 | + | 0.244732i | ||||
\(16\) | 3.22513 | − | 2.36613i | 0.806282 | − | 0.591532i | ||||
\(17\) | −1.33842 | − | 1.87954i | −0.324614 | − | 0.455856i | 0.619731 | − | 0.784815i | \(-0.287242\pi\) |
−0.944344 | + | 0.328958i | \(0.893302\pi\) | |||||||
\(18\) | −1.29533 | − | 0.567555i | −0.305312 | − | 0.133774i | ||||
\(19\) | −6.17296 | + | 0.294055i | −1.41618 | + | 0.0674607i | −0.741648 | − | 0.670789i | \(-0.765956\pi\) |
−0.674527 | + | 0.738250i | \(0.735652\pi\) | |||||||
\(20\) | 2.07770 | + | 0.872368i | 0.464587 | + | 0.195067i | ||||
\(21\) | −1.37534 | + | 3.97378i | −0.300124 | + | 0.867151i | ||||
\(22\) | −7.22855 | − | 0.232552i | −1.54113 | − | 0.0495803i | ||||
\(23\) | 1.21618 | + | 1.27550i | 0.253592 | + | 0.265960i | 0.838208 | − | 0.545350i | \(-0.183603\pi\) |
−0.584616 | + | 0.811310i | \(0.698755\pi\) | |||||||
\(24\) | −2.77800 | + | 0.531725i | −0.567056 | + | 0.108538i | ||||
\(25\) | −0.530911 | − | 3.69257i | −0.106182 | − | 0.738513i | ||||
\(26\) | 1.36695 | − | 6.04020i | 0.268081 | − | 1.18458i | ||||
\(27\) | 0.654861 | + | 0.755750i | 0.126028 | + | 0.145444i | ||||
\(28\) | 2.23415 | + | 8.10794i | 0.422215 | + | 1.53226i | ||||
\(29\) | −2.11626 | − | 3.66547i | −0.392979 | − | 0.680660i | 0.599862 | − | 0.800104i | \(-0.295222\pi\) |
−0.992841 | + | 0.119444i | \(0.961889\pi\) | |||||||
\(30\) | −1.06192 | − | 1.18796i | −0.193880 | − | 0.216891i | ||||
\(31\) | −2.93522 | + | 1.17509i | −0.527181 | + | 0.211052i | −0.619957 | − | 0.784635i | \(-0.712850\pi\) |
0.0927761 | + | 0.995687i | \(0.470426\pi\) | |||||||
\(32\) | −3.97674 | + | 4.02313i | −0.702995 | + | 0.711195i | ||||
\(33\) | 4.54551 | + | 2.34337i | 0.791271 | + | 0.407929i | ||||
\(34\) | 2.28802 | + | 2.32660i | 0.392392 | + | 0.399008i | ||||
\(35\) | −3.26950 | + | 3.42895i | −0.552646 | + | 0.579598i | ||||
\(36\) | 1.93547 | + | 0.503949i | 0.322578 | + | 0.0839915i | ||||
\(37\) | −4.19530 | + | 7.26647i | −0.689703 | + | 1.19460i | 0.282231 | + | 0.959347i | \(0.408926\pi\) |
−0.971934 | + | 0.235254i | \(0.924408\pi\) | |||||||
\(38\) | 8.55529 | − | 1.78631i | 1.38785 | − | 0.289778i | ||||
\(39\) | −2.70696 | + | 3.44218i | −0.433461 | + | 0.551190i | ||||
\(40\) | −3.09601 | − | 0.755283i | −0.489521 | − | 0.119421i | ||||
\(41\) | −0.329718 | − | 3.45297i | −0.0514934 | − | 0.539263i | −0.984007 | − | 0.178129i | \(-0.942996\pi\) |
0.932514 | − | 0.361134i | \(-0.117610\pi\) | |||||||
\(42\) | 1.03516 | − | 5.85606i | 0.159729 | − | 0.903610i | ||||
\(43\) | 1.49948 | − | 3.28341i | 0.228669 | − | 0.500715i | −0.760166 | − | 0.649729i | \(-0.774883\pi\) |
0.988835 | + | 0.149014i | \(0.0476098\pi\) | |||||||
\(44\) | 10.1468 | − | 1.28612i | 1.52969 | − | 0.193890i | ||||
\(45\) | 0.317429 | + | 1.08106i | 0.0473196 | + | 0.161156i | ||||
\(46\) | −1.98270 | − | 1.51026i | −0.292334 | − | 0.222676i | ||||
\(47\) | 4.77256 | − | 1.15781i | 0.696149 | − | 0.168884i | 0.127957 | − | 0.991780i | \(-0.459158\pi\) |
0.568192 | + | 0.822896i | \(0.307643\pi\) | |||||||
\(48\) | 3.76110 | − | 1.36166i | 0.542868 | − | 0.196539i | ||||
\(49\) | −10.6342 | − | 1.01544i | −1.51916 | − | 0.145063i | ||||
\(50\) | 1.56433 | + | 5.03852i | 0.221230 | + | 0.712554i | ||||
\(51\) | −0.754673 | − | 2.18048i | −0.105675 | − | 0.305329i | ||||
\(52\) | −0.562940 | + | 8.74003i | −0.0780657 | + | 1.21202i | ||||
\(53\) | 10.8310 | − | 4.94636i | 1.48776 | − | 0.679435i | 0.504793 | − | 0.863240i | \(-0.331569\pi\) |
0.982963 | + | 0.183805i | \(0.0588416\pi\) | |||||||
\(54\) | −1.08296 | − | 0.909501i | −0.147372 | − | 0.123767i | ||||
\(55\) | 3.56181 | + | 4.52921i | 0.480275 | + | 0.610719i | ||||
\(56\) | −4.92696 | − | 10.8252i | −0.658393 | − | 1.44658i | ||||
\(57\) | −6.00576 | − | 1.45698i | −0.795482 | − | 0.192982i | ||||
\(58\) | 3.77230 | + | 4.64738i | 0.495328 | + | 0.610231i | ||||
\(59\) | 2.35946 | + | 0.339239i | 0.307176 | + | 0.0441652i | 0.294179 | − | 0.955750i | \(-0.404954\pi\) |
0.0129967 | + | 0.999916i | \(0.495863\pi\) | |||||||
\(60\) | 1.74776 | + | 1.42239i | 0.225635 | + | 0.183629i | ||||
\(61\) | −0.554856 | − | 2.87886i | −0.0710420 | − | 0.368601i | 0.928957 | − | 0.370188i | \(-0.120707\pi\) |
−0.999999 | + | 0.00158742i | \(0.999495\pi\) | |||||||
\(62\) | 3.83730 | − | 2.29518i | 0.487337 | − | 0.291488i | ||||
\(63\) | −2.43917 | + | 3.42534i | −0.307307 | + | 0.431552i | ||||
\(64\) | 4.65714 | − | 6.50470i | 0.582142 | − | 0.813087i | ||||
\(65\) | −4.38544 | + | 2.26085i | −0.543947 | + | 0.280424i | ||||
\(66\) | −6.87023 | − | 2.25965i | −0.845666 | − | 0.278144i | ||||
\(67\) | 7.72643 | + | 2.70228i | 0.943933 | + | 0.330136i | ||||
\(68\) | −3.71380 | − | 2.73931i | −0.450365 | − | 0.332190i | ||||
\(69\) | 0.807571 | + | 1.56647i | 0.0972202 | + | 0.188581i | ||||
\(70\) | 3.80185 | − | 5.51729i | 0.454408 | − | 0.659443i | ||||
\(71\) | 8.66967 | + | 6.17364i | 1.02890 | + | 0.732677i | 0.964186 | − | 0.265227i | \(-0.0854470\pi\) |
0.0647144 | + | 0.997904i | \(0.479386\pi\) | |||||||
\(72\) | −2.81527 | − | 0.272466i | −0.331783 | − | 0.0321104i | ||||
\(73\) | 14.4478 | − | 2.78459i | 1.69099 | − | 0.325912i | 0.749260 | − | 0.662276i | \(-0.230409\pi\) |
0.941732 | + | 0.336364i | \(0.109197\pi\) | |||||||
\(74\) | 4.23958 | − | 11.0829i | 0.492841 | − | 1.28836i | ||||
\(75\) | 0.530911 | − | 3.69257i | 0.0613043 | − | 0.426381i | ||||
\(76\) | −11.5498 | + | 4.40123i | −1.32485 | + | 0.504855i | ||||
\(77\) | −5.06992 | + | 20.8985i | −0.577771 | + | 2.38160i | ||||
\(78\) | 3.01330 | − | 5.41041i | 0.341189 | − | 0.612609i | ||||
\(79\) | −11.8138 | + | 9.29050i | −1.32916 | + | 1.04526i | −0.334464 | + | 0.942409i | \(0.608555\pi\) |
−0.994696 | + | 0.102854i | \(0.967202\pi\) | |||||||
\(80\) | 4.49203 | + | 0.364838i | 0.502224 | + | 0.0407901i | ||||
\(81\) | 0.415415 | + | 0.909632i | 0.0461572 | + | 0.101070i | ||||
\(82\) | 1.22997 | + | 4.74874i | 0.135827 | + | 0.524411i | ||||
\(83\) | −16.4716 | + | 5.70086i | −1.80799 | + | 0.625751i | −0.808692 | + | 0.588233i | \(0.799824\pi\) |
−0.999296 | + | 0.0375181i | \(0.988055\pi\) | |||||||
\(84\) | −0.140616 | + | 8.40894i | −0.0153424 | + | 0.917491i | ||||
\(85\) | 0.247121 | − | 2.58797i | 0.0268041 | − | 0.280705i | ||||
\(86\) | −1.36238 | + | 4.91959i | −0.146909 | + | 0.530493i | ||||
\(87\) | −0.997854 | − | 4.11321i | −0.106981 | − | 0.440982i | ||||
\(88\) | −13.8839 | + | 4.05736i | −1.48003 | + | 0.432516i | ||||
\(89\) | −11.1422 | + | 3.27164i | −1.18107 | + | 0.346793i | −0.812585 | − | 0.582842i | \(-0.801941\pi\) |
−0.368482 | + | 0.929635i | \(0.620122\pi\) | |||||||
\(90\) | −0.684221 | − | 1.43902i | −0.0721232 | − | 0.151686i | ||||
\(91\) | −16.7502 | − | 7.64956i | −1.75590 | − | 0.801892i | ||||
\(92\) | 3.10550 | + | 1.66730i | 0.323770 | + | 0.173828i | ||||
\(93\) | −3.14738 | + | 0.300539i | −0.326369 | + | 0.0311644i | ||||
\(94\) | −6.40707 | + | 2.68051i | −0.660839 | + | 0.276473i | ||||
\(95\) | −5.47328 | − | 4.30424i | −0.561547 | − | 0.441605i | ||||
\(96\) | −4.94910 | + | 2.73978i | −0.505115 | + | 0.279628i | ||||
\(97\) | 15.8538 | + | 9.15322i | 1.60971 | + | 0.929368i | 0.989433 | + | 0.144988i | \(0.0463143\pi\) |
0.620280 | + | 0.784381i | \(0.287019\pi\) | |||||||
\(98\) | 15.0774 | − | 0.951731i | 1.52304 | − | 0.0961393i | ||||
\(99\) | 3.70118 | + | 3.52907i | 0.371982 | + | 0.354684i | ||||
\(100\) | −3.30750 | − | 6.68790i | −0.330750 | − | 0.668790i | ||||
\(101\) | −0.478521 | + | 0.928201i | −0.0476146 | + | 0.0923594i | −0.911442 | − | 0.411428i | \(-0.865030\pi\) |
0.863828 | + | 0.503787i | \(0.168060\pi\) | |||||||
\(102\) | 1.53986 | + | 2.87696i | 0.152469 | + | 0.284862i | ||||
\(103\) | 5.19790 | + | 12.9837i | 0.512164 | + | 1.27932i | 0.928911 | + | 0.370302i | \(0.120746\pi\) |
−0.416747 | + | 0.909023i | \(0.636830\pi\) | |||||||
\(104\) | −1.16156 | − | 12.3313i | −0.113900 | − | 1.20918i | ||||
\(105\) | −4.10311 | + | 2.36893i | −0.400422 | + | 0.231184i | ||||
\(106\) | −14.0237 | + | 9.32153i | −1.36210 | + | 0.905387i | ||||
\(107\) | 2.98753 | − | 2.58871i | 0.288816 | − | 0.250260i | −0.498387 | − | 0.866955i | \(-0.666074\pi\) |
0.787203 | + | 0.616694i | \(0.211529\pi\) | |||||||
\(108\) | 1.71509 | + | 1.02882i | 0.165035 | + | 0.0989982i | ||||
\(109\) | 9.48514 | − | 1.36376i | 0.908512 | − | 0.130624i | 0.327813 | − | 0.944743i | \(-0.393688\pi\) |
0.580699 | + | 0.814118i | \(0.302779\pi\) | |||||||
\(110\) | −5.98357 | − | 5.53149i | −0.570511 | − | 0.527407i | ||||
\(111\) | −6.07256 | + | 5.79018i | −0.576382 | + | 0.549579i | ||||
\(112\) | 9.29313 | + | 14.0199i | 0.878119 | + | 1.32476i | ||||
\(113\) | 1.50712 | + | 0.521620i | 0.141778 | + | 0.0490699i | 0.397035 | − | 0.917803i | \(-0.370039\pi\) |
−0.255257 | + | 0.966873i | \(0.582160\pi\) | |||||||
\(114\) | 8.71200 | + | 0.696348i | 0.815954 | + | 0.0652190i | ||||
\(115\) | 0.0944828 | + | 1.98344i | 0.00881056 | + | 0.184956i | ||||
\(116\) | −6.30387 | − | 5.64961i | −0.585299 | − | 0.524553i | ||||
\(117\) | −3.56709 | + | 2.54011i | −0.329777 | + | 0.234833i | ||||
\(118\) | −3.37069 | + | 0.0520464i | −0.310297 | + | 0.00479126i | ||||
\(119\) | 8.16243 | − | 5.24568i | 0.748249 | − | 0.480871i | ||||
\(120\) | −2.75781 | − | 1.59693i | −0.251752 | − | 0.145780i | ||||
\(121\) | 14.0676 | + | 5.63181i | 1.27887 | + | 0.511983i | ||||
\(122\) | 1.41644 | + | 3.89681i | 0.128238 | + | 0.352801i | ||||
\(123\) | 0.656451 | − | 3.40599i | 0.0591902 | − | 0.307108i | ||||
\(124\) | −4.84748 | + | 4.06047i | −0.435316 | + | 0.364641i | ||||
\(125\) | 5.31814 | − | 8.27519i | 0.475669 | − | 0.740155i | ||||
\(126\) | 2.64307 | − | 5.32721i | 0.235464 | − | 0.474586i | ||||
\(127\) | −13.8226 | − | 0.658452i | −1.22656 | − | 0.0584282i | −0.575721 | − | 0.817646i | \(-0.695279\pi\) |
−0.650837 | + | 0.759218i | \(0.725582\pi\) | |||||||
\(128\) | −5.05432 | + | 10.1220i | −0.446743 | + | 0.894662i | ||||
\(129\) | 2.36379 | − | 2.72795i | 0.208120 | − | 0.240183i | ||||
\(130\) | 5.62063 | − | 4.13468i | 0.492962 | − | 0.362636i | ||||
\(131\) | 1.69746 | − | 5.78100i | 0.148307 | − | 0.505088i | −0.851507 | − | 0.524343i | \(-0.824311\pi\) |
0.999815 | + | 0.0192544i | \(0.00612923\pi\) | |||||||
\(132\) | 10.0981 | + | 1.62466i | 0.878931 | + | 0.141409i | ||||
\(133\) | − | 25.9871i | − | 2.25337i | ||||||
\(134\) | −11.3925 | − | 2.05201i | −0.984163 | − | 0.177266i | ||||
\(135\) | 1.12670i | 0.0969713i | ||||||||
\(136\) | 5.79695 | + | 2.99794i | 0.497085 | + | 0.257071i | ||||
\(137\) | 3.45684 | − | 11.7729i | 0.295338 | − | 1.00583i | −0.669463 | − | 0.742845i | \(-0.733476\pi\) |
0.964801 | − | 0.262982i | \(-0.0847061\pi\) | |||||||
\(138\) | −1.47690 | − | 2.00768i | −0.125722 | − | 0.170905i | ||||
\(139\) | 0.586864 | − | 0.677277i | 0.0497772 | − | 0.0574459i | −0.730315 | − | 0.683111i | \(-0.760627\pi\) |
0.780092 | + | 0.625665i | \(0.215172\pi\) | |||||||
\(140\) | −4.07992 | + | 8.55239i | −0.344816 | + | 0.722809i | ||||
\(141\) | 4.90543 | + | 0.233674i | 0.413112 | + | 0.0196789i | ||||
\(142\) | −13.4834 | − | 6.68972i | −1.13150 | − | 0.561389i | ||||
\(143\) | −12.1074 | + | 18.8395i | −1.01247 | + | 1.57544i | ||||
\(144\) | 3.99237 | − | 0.246877i | 0.332698 | − | 0.0205731i | ||||
\(145\) | 0.902500 | − | 4.68262i | 0.0749486 | − | 0.388870i | ||||
\(146\) | −19.5565 | + | 7.10853i | −1.61851 | + | 0.588306i | ||||
\(147\) | −9.91731 | − | 3.97029i | −0.817966 | − | 0.327464i | ||||
\(148\) | −3.45093 | + | 16.4225i | −0.283665 | + | 1.34992i | ||||
\(149\) | 7.03128 | − | 4.51873i | 0.576025 | − | 0.370189i | −0.219957 | − | 0.975510i | \(-0.570592\pi\) |
0.795982 | + | 0.605321i | \(0.206955\pi\) | |||||||
\(150\) | 0.0814529 | + | 5.27515i | 0.00665060 | + | 0.430714i | ||||
\(151\) | 8.72026 | − | 6.20967i | 0.709645 | − | 0.505336i | −0.167313 | − | 0.985904i | \(-0.553509\pi\) |
0.876957 | + | 0.480568i | \(0.159569\pi\) | |||||||
\(152\) | 15.1489 | − | 8.72039i | 1.22874 | − | 0.707317i | ||||
\(153\) | −0.109790 | − | 2.30477i | −0.00887599 | − | 0.186330i | ||||
\(154\) | 2.42311 | − | 30.3155i | 0.195260 | − | 2.44289i | ||||
\(155\) | −3.36638 | − | 1.16511i | −0.270394 | − | 0.0935843i | ||||
\(156\) | −3.00249 | + | 8.22740i | −0.240391 | + | 0.658719i | ||||
\(157\) | 10.9841 | − | 10.4733i | 0.876624 | − | 0.835859i | −0.110818 | − | 0.993841i | \(-0.535347\pi\) |
0.987442 | + | 0.157982i | \(0.0504987\pi\) | |||||||
\(158\) | 14.4281 | − | 15.6073i | 1.14784 | − | 1.24165i | ||||
\(159\) | 11.7858 | − | 1.69455i | 0.934678 | − | 0.134386i | ||||
\(160\) | −6.35462 | + | 0.491542i | −0.502377 | + | 0.0388598i | ||||
\(161\) | −5.60081 | + | 4.85313i | −0.441406 | + | 0.382480i | ||||
\(162\) | −0.782858 | − | 1.17777i | −0.0615072 | − | 0.0925340i | ||||
\(163\) | −11.6275 | + | 6.71313i | −0.910735 | + | 0.525813i | −0.880668 | − | 0.473735i | \(-0.842906\pi\) |
−0.0300675 | + | 0.999548i | \(0.509572\pi\) | |||||||
\(164\) | −2.77597 | − | 6.35774i | −0.216767 | − | 0.496456i | ||||
\(165\) | 2.14151 | + | 5.34923i | 0.166716 | + | 0.416437i | ||||
\(166\) | 21.7328 | − | 11.6322i | 1.68679 | − | 0.902835i | ||||
\(167\) | 0.801188 | − | 1.55409i | 0.0619978 | − | 0.120259i | −0.855800 | − | 0.517306i | \(-0.826935\pi\) |
0.917798 | + | 0.397047i | \(0.129965\pi\) | |||||||
\(168\) | −1.67757 | − | 11.7748i | −0.129427 | − | 0.908446i | ||||
\(169\) | −4.46998 | − | 4.26211i | −0.343844 | − | 0.327855i | ||||
\(170\) | 0.231617 | + | 3.66929i | 0.0177642 | + | 0.281422i | ||||
\(171\) | −5.35201 | − | 3.08998i | −0.409278 | − | 0.236297i | ||||
\(172\) | 0.806290 | − | 7.17403i | 0.0614790 | − | 0.547015i | ||||
\(173\) | 3.76406 | + | 2.96009i | 0.286176 | + | 0.225052i | 0.750919 | − | 0.660394i | \(-0.229611\pi\) |
−0.464743 | + | 0.885446i | \(0.653853\pi\) | |||||||
\(174\) | 2.31018 | + | 5.52191i | 0.175134 | + | 0.418615i | ||||
\(175\) | 15.6161 | − | 1.49116i | 1.18047 | − | 0.112721i | ||||
\(176\) | 18.4853 | − | 8.76033i | 1.39338 | − | 0.660335i | ||||
\(177\) | 2.16831 | + | 0.990235i | 0.162980 | + | 0.0744306i | ||||
\(178\) | 14.8314 | − | 7.05203i | 1.11166 | − | 0.528572i | ||||
\(179\) | 12.0426 | − | 3.53603i | 0.900106 | − | 0.264295i | 0.201235 | − | 0.979543i | \(-0.435504\pi\) |
0.698871 | + | 0.715248i | \(0.253686\pi\) | |||||||
\(180\) | 1.27623 | + | 1.85717i | 0.0951247 | + | 0.138425i | ||||
\(181\) | −0.534276 | − | 2.20232i | −0.0397124 | − | 0.163697i | 0.948502 | − | 0.316770i | \(-0.102598\pi\) |
−0.988215 | + | 0.153073i | \(0.951083\pi\) | |||||||
\(182\) | 25.0971 | + | 6.95015i | 1.86032 | + | 0.515179i | ||||
\(183\) | 0.278690 | − | 2.91857i | 0.0206013 | − | 0.215747i | ||||
\(184\) | −4.70853 | − | 1.63639i | −0.347117 | − | 0.120637i | ||||
\(185\) | −8.93378 | + | 3.09201i | −0.656824 | + | 0.227329i | ||||
\(186\) | 4.32849 | − | 1.12111i | 0.317380 | − | 0.0822041i | ||||
\(187\) | −4.90189 | − | 10.7336i | −0.358462 | − | 0.784922i | ||||
\(188\) | 8.35041 | − | 5.17127i | 0.609016 | − | 0.377154i | ||||
\(189\) | −3.30540 | + | 2.59940i | −0.240432 | + | 0.189078i | ||||
\(190\) | 8.60289 | + | 4.79133i | 0.624119 | + | 0.347600i | ||||
\(191\) | 4.17386 | − | 17.2049i | 0.302010 | − | 1.24490i | −0.595301 | − | 0.803503i | \(-0.702967\pi\) |
0.897311 | − | 0.441399i | \(-0.145518\pi\) | |||||||
\(192\) | 6.30107 | − | 4.92915i | 0.454741 | − | 0.355730i | ||||
\(193\) | 1.52934 | − | 10.6368i | 0.110085 | − | 0.765655i | −0.857750 | − | 0.514067i | \(-0.828138\pi\) |
0.967835 | − | 0.251588i | \(-0.0809527\pi\) | |||||||
\(194\) | −24.1804 | − | 9.24983i | −1.73605 | − | 0.664099i | ||||
\(195\) | −4.84476 | + | 0.933750i | −0.346940 | + | 0.0668672i | ||||
\(196\) | −20.8441 | + | 4.68915i | −1.48887 | + | 0.334939i | ||||
\(197\) | 8.15547 | + | 5.80748i | 0.581053 | + | 0.413766i | 0.832436 | − | 0.554122i | \(-0.186946\pi\) |
−0.251382 | + | 0.967888i | \(0.580885\pi\) | |||||||
\(198\) | −5.95532 | − | 4.10369i | −0.423226 | − | 0.291636i | ||||
\(199\) | 0.524142 | + | 1.01669i | 0.0371555 | + | 0.0720715i | 0.906682 | − | 0.421814i | \(-0.138606\pi\) |
−0.869527 | + | 0.493886i | \(0.835576\pi\) | |||||||
\(200\) | 6.10949 | + | 8.60287i | 0.432006 | + | 0.608315i | ||||
\(201\) | 6.65213 | + | 4.76960i | 0.469205 | + | 0.336422i | ||||
\(202\) | 0.461425 | − | 1.40291i | 0.0324657 | − | 0.0987086i | ||||
\(203\) | 15.8195 | − | 8.15551i | 1.11031 | − | 0.572404i | ||||
\(204\) | −2.79162 | − | 3.67465i | −0.195452 | − | 0.257277i | ||||
\(205\) | 2.26696 | − | 3.18350i | 0.158331 | − | 0.222345i | ||||
\(206\) | −10.1525 | − | 16.9740i | −0.707361 | − | 1.18263i | ||||
\(207\) | 0.333533 | + | 1.73054i | 0.0231822 | + | 0.120281i | ||||
\(208\) | 4.37022 | + | 16.9624i | 0.303020 | + | 1.17613i | ||||
\(209\) | −31.2827 | − | 4.49777i | −2.16387 | − | 0.311117i | ||||
\(210\) | 5.20225 | − | 4.22270i | 0.358989 | − | 0.291394i | ||||
\(211\) | 15.7978 | + | 3.83250i | 1.08756 | + | 0.263840i | 0.739177 | − | 0.673511i | \(-0.235215\pi\) |
0.348386 | + | 0.937351i | \(0.386730\pi\) | |||||||
\(212\) | 17.5074 | − | 16.1431i | 1.20241 | − | 1.10871i | ||||
\(213\) | 6.57917 | + | 8.36609i | 0.450797 | + | 0.573235i | ||||
\(214\) | −3.59533 | + | 4.28103i | −0.245771 | + | 0.292645i | ||||
\(215\) | 3.69943 | − | 1.68947i | 0.252299 | − | 0.115221i | ||||
\(216\) | −2.62447 | − | 1.05458i | −0.178573 | − | 0.0717553i | ||||
\(217\) | −4.34841 | − | 12.5639i | −0.295190 | − | 0.852894i | ||||
\(218\) | −12.9425 | + | 4.01833i | −0.876577 | + | 0.272155i | ||||
\(219\) | 14.6471 | + | 1.39863i | 0.989760 | + | 0.0945106i | ||||
\(220\) | 9.58903 | + | 6.39153i | 0.646492 | + | 0.430917i | ||||
\(221\) | 9.81940 | − | 2.38216i | 0.660524 | − | 0.160241i | ||||
\(222\) | 7.19026 | − | 9.43952i | 0.482578 | − | 0.633539i | ||||
\(223\) | −1.37228 | − | 4.67354i | −0.0918944 | − | 0.312964i | 0.900700 | − | 0.434442i | \(-0.143055\pi\) |
−0.992594 | + | 0.121479i | \(0.961236\pi\) | |||||||
\(224\) | −16.1026 | − | 17.5084i | −1.07590 | − | 1.16983i | ||||
\(225\) | 1.54972 | − | 3.39342i | 0.103315 | − | 0.226228i | ||||
\(226\) | −2.22101 | − | 0.392601i | −0.147739 | − | 0.0261154i | ||||
\(227\) | 1.98221 | + | 20.7587i | 0.131564 | + | 1.37780i | 0.784378 | + | 0.620283i | \(0.212982\pi\) |
−0.652814 | + | 0.757518i | \(0.726412\pi\) | |||||||
\(228\) | −12.3219 | + | 0.969002i | −0.816037 | + | 0.0641737i | ||||
\(229\) | −12.9869 | + | 16.5142i | −0.858199 | + | 1.09129i | 0.136720 | + | 0.990610i | \(0.456344\pi\) |
−0.994919 | + | 0.100679i | \(0.967898\pi\) | |||||||
\(230\) | −0.573961 | − | 2.74890i | −0.0378459 | − | 0.181257i | ||||
\(231\) | −10.7523 | + | 18.6236i | −0.707452 | + | 1.22534i | ||||
\(232\) | 10.0627 | + | 6.48510i | 0.660646 | + | 0.425768i | ||||
\(233\) | −0.174104 | + | 0.182595i | −0.0114059 | + | 0.0119622i | −0.729412 | − | 0.684074i | \(-0.760206\pi\) |
0.718006 | + | 0.696037i | \(0.245055\pi\) | |||||||
\(234\) | 4.41553 | − | 4.34231i | 0.288652 | − | 0.283866i | ||||
\(235\) | 4.91814 | + | 2.53548i | 0.320824 | + | 0.165396i | ||||
\(236\) | 4.69572 | − | 0.823849i | 0.305666 | − | 0.0536280i | ||||
\(237\) | −13.9527 | + | 5.58583i | −0.906327 | + | 0.362839i | ||||
\(238\) | −10.2302 | + | 9.14483i | −0.663125 | + | 0.592772i | ||||
\(239\) | −14.4134 | − | 24.9647i | −0.932325 | − | 1.61483i | −0.779335 | − | 0.626607i | \(-0.784443\pi\) |
−0.152990 | − | 0.988228i | \(-0.548890\pi\) | |||||||
\(240\) | 4.20728 | + | 1.61561i | 0.271579 | + | 0.104287i | ||||
\(241\) | −5.56839 | − | 6.42626i | −0.358691 | − | 0.413952i | 0.547509 | − | 0.836800i | \(-0.315576\pi\) |
−0.906201 | + | 0.422848i | \(0.861031\pi\) | |||||||
\(242\) | −20.9011 | − | 4.73009i | −1.34357 | − | 0.304062i | ||||
\(243\) | 0.142315 | + | 0.989821i | 0.00912950 | + | 0.0634971i | ||||
\(244\) | −2.84653 | − | 5.12642i | −0.182231 | − | 0.328185i | ||||
\(245\) | −8.30582 | − | 8.71089i | −0.530639 | − | 0.556519i | ||||
\(246\) | −0.157733 | + | 4.90291i | −0.0100567 | + | 0.312598i | ||||
\(247\) | 8.85128 | − | 25.5741i | 0.563193 | − | 1.62724i | ||||
\(248\) | 5.86484 | − | 6.75089i | 0.372417 | − | 0.428682i | ||||
\(249\) | −17.4105 | + | 0.829362i | −1.10334 | + | 0.0525587i | ||||
\(250\) | −5.58288 | + | 12.7418i | −0.353093 | + | 0.805864i | ||||
\(251\) | 9.89767 | + | 13.8993i | 0.624736 | + | 0.877318i | 0.998744 | − | 0.0501070i | \(-0.0159562\pi\) |
−0.374008 | + | 0.927425i | \(0.622017\pi\) | |||||||
\(252\) | −2.50399 | + | 8.02871i | −0.157737 | + | 0.505761i | ||||
\(253\) | 4.87271 | + | 7.58208i | 0.306345 | + | 0.476681i | ||||
\(254\) | 19.4506 | − | 2.16083i | 1.22044 | − | 0.135583i | ||||
\(255\) | 0.966227 | − | 2.41352i | 0.0605075 | − | 0.151140i | ||||
\(256\) | 4.80289 | − | 15.2621i | 0.300181 | − | 0.953882i | ||||
\(257\) | −13.5941 | − | 2.62004i | −0.847974 | − | 0.163434i | −0.253287 | − | 0.967391i | \(-0.581512\pi\) |
−0.594687 | + | 0.803958i | \(0.702724\pi\) | |||||||
\(258\) | −2.69320 | + | 4.33648i | −0.167672 | + | 0.269978i | ||||
\(259\) | −29.6819 | − | 19.0754i | −1.84435 | − | 1.18529i | ||||
\(260\) | −6.92804 | + | 7.02684i | −0.429659 | + | 0.435786i | ||||
\(261\) | 0.201391 | − | 4.22772i | 0.0124658 | − | 0.261689i | ||||
\(262\) | −1.08227 | + | 8.45171i | −0.0668627 | + | 0.522148i | ||||
\(263\) | −11.1899 | − | 9.69611i | −0.690000 | − | 0.597888i | 0.237645 | − | 0.971352i | \(-0.423624\pi\) |
−0.927645 | + | 0.373464i | \(0.878170\pi\) | |||||||
\(264\) | −14.4646 | − | 0.0185287i | −0.890233 | − | 0.00114036i | ||||
\(265\) | 12.8723 | + | 3.77964i | 0.790738 | + | 0.232182i | ||||
\(266\) | 5.79127 | + | 36.2922i | 0.355085 | + | 2.22522i | ||||
\(267\) | −11.6126 | −0.710677 | ||||||||
\(268\) | 16.3674 | + | 0.326881i | 0.999801 | + | 0.0199675i | ||||
\(269\) | 17.3544 | 1.05812 | 0.529059 | − | 0.848585i | \(-0.322545\pi\) | ||||
0.529059 | + | 0.848585i | \(0.322545\pi\) | |||||||
\(270\) | −0.251088 | − | 1.57349i | −0.0152807 | − | 0.0957597i | ||||
\(271\) | 18.3208 | + | 5.37949i | 1.11291 | + | 0.326780i | 0.785970 | − | 0.618264i | \(-0.212164\pi\) |
0.326942 | + | 0.945045i | \(0.393982\pi\) | |||||||
\(272\) | −8.76380 | − | 2.89490i | −0.531383 | − | 0.175529i | ||||
\(273\) | −13.9166 | − | 12.0588i | −0.842269 | − | 0.729830i | ||||
\(274\) | −2.20402 | + | 17.2118i | −0.133150 | + | 1.03980i | ||||
\(275\) | 0.907767 | − | 19.0564i | 0.0547404 | − | 1.14914i | ||||
\(276\) | 2.50997 | + | 2.47468i | 0.151082 | + | 0.148958i | ||||
\(277\) | −1.09523 | − | 0.703860i | −0.0658058 | − | 0.0422908i | 0.507324 | − | 0.861755i | \(-0.330635\pi\) |
−0.573130 | + | 0.819464i | \(0.694271\pi\) | |||||||
\(278\) | −0.668650 | + | 1.07663i | −0.0401030 | + | 0.0645721i | ||||
\(279\) | −3.10456 | − | 0.598356i | −0.185865 | − | 0.0358226i | ||||
\(280\) | 3.79188 | − | 12.8530i | 0.226608 | − | 0.768115i | ||||
\(281\) | −1.84581 | + | 4.61061i | −0.110112 | + | 0.275046i | −0.973181 | − | 0.230039i | \(-0.926115\pi\) |
0.863070 | + | 0.505085i | \(0.168539\pi\) | |||||||
\(282\) | −6.90273 | + | 0.766845i | −0.411051 | + | 0.0456650i | ||||
\(283\) | −8.20216 | − | 12.7628i | −0.487568 | − | 0.758671i | 0.507090 | − | 0.861893i | \(-0.330721\pi\) |
−0.994658 | + | 0.103222i | \(0.967085\pi\) | |||||||
\(284\) | 20.3210 | + | 6.33770i | 1.20583 | + | 0.376073i | ||||
\(285\) | −4.03893 | − | 5.67189i | −0.239246 | − | 0.335974i | ||||
\(286\) | 12.7101 | − | 29.0084i | 0.751567 | − | 1.71530i | ||||
\(287\) | 14.5695 | − | 0.694029i | 0.860008 | − | 0.0409672i | ||||
\(288\) | −5.52051 | + | 1.23448i | −0.325299 | + | 0.0727425i | ||||
\(289\) | 3.81883 | − | 11.0338i | 0.224637 | − | 0.649047i | ||||
\(290\) | −0.216854 | + | 6.74061i | −0.0127341 | + | 0.395822i | ||||
\(291\) | 12.6329 | + | 13.2490i | 0.740553 | + | 0.776670i | ||||
\(292\) | 25.7274 | − | 14.2856i | 1.50558 | − | 0.836000i | ||||
\(293\) | 0.851508 | + | 5.92237i | 0.0497456 | + | 0.345988i | 0.999460 | + | 0.0328698i | \(0.0104647\pi\) |
−0.949714 | + | 0.313119i | \(0.898626\pi\) | |||||||
\(294\) | 14.7348 | + | 3.33460i | 0.859348 | + | 0.194478i | ||||
\(295\) | 1.75879 | + | 2.02976i | 0.102401 | + | 0.118177i | ||||
\(296\) | 1.15959 | − | 23.7039i | 0.0673997 | − | 1.37776i | ||||
\(297\) | 2.55700 | + | 4.42886i | 0.148372 | + | 0.256988i | ||||
\(298\) | −8.81249 | + | 7.87754i | −0.510494 | + | 0.456334i | ||||
\(299\) | −7.16478 | + | 2.86835i | −0.414350 | + | 0.165881i | ||||
\(300\) | −1.28933 | − | 7.34883i | −0.0744393 | − | 0.424285i | ||||
\(301\) | 13.4913 | + | 6.95523i | 0.777624 | + | 0.400893i | ||||
\(302\) | −10.7944 | + | 10.6154i | −0.621148 | + | 0.610848i | ||||
\(303\) | −0.720642 | + | 0.755787i | −0.0413998 | + | 0.0434188i | ||||
\(304\) | −19.2128 | + | 15.5544i | −1.10193 | + | 0.892105i | ||||
\(305\) | 1.65166 | − | 2.86076i | 0.0945739 | − | 0.163807i | ||||
\(306\) | 0.666949 | + | 3.19425i | 0.0381269 | + | 0.182603i | ||||
\(307\) | 1.43465 | − | 1.82431i | 0.0818800 | − | 0.104119i | −0.743387 | − | 0.668861i | \(-0.766782\pi\) |
0.825267 | + | 0.564742i | \(0.191024\pi\) | |||||||
\(308\) | 3.37188 | + | 42.8770i | 0.192130 | + | 2.44314i | ||||
\(309\) | 1.32941 | + | 13.9222i | 0.0756275 | + | 0.792007i | ||||
\(310\) | 4.96095 | + | 0.876933i | 0.281763 | + | 0.0498064i | ||||
\(311\) | −5.73608 | + | 12.5603i | −0.325263 | + | 0.712228i | −0.999658 | − | 0.0261433i | \(-0.991677\pi\) |
0.674395 | + | 0.738371i | \(0.264405\pi\) | |||||||
\(312\) | 2.35962 | − | 12.1590i | 0.133587 | − | 0.688370i | ||||
\(313\) | 2.53047 | + | 8.61800i | 0.143031 | + | 0.487118i | 0.999581 | − | 0.0289457i | \(-0.00921498\pi\) |
−0.856550 | + | 0.516064i | \(0.827397\pi\) | |||||||
\(314\) | −13.0058 | + | 17.0742i | −0.733957 | + | 0.963554i | ||||
\(315\) | −4.60431 | + | 1.11699i | −0.259423 | + | 0.0629354i | ||||
\(316\) | −16.6714 | + | 25.0117i | −0.937842 | + | 1.40702i | ||||
\(317\) | −18.7843 | − | 1.79368i | −1.05503 | − | 0.100743i | −0.446902 | − | 0.894583i | \(-0.647473\pi\) |
−0.608127 | + | 0.793840i | \(0.708079\pi\) | |||||||
\(318\) | −16.0818 | + | 4.99300i | −0.901824 | + | 0.279994i | ||||
\(319\) | −7.07942 | − | 20.4546i | −0.396371 | − | 1.14524i | ||||
\(320\) | 8.76497 | − | 2.10260i | 0.489977 | − | 0.117539i | ||||
\(321\) | 3.59584 | − | 1.64217i | 0.200700 | − | 0.0916568i | ||||
\(322\) | 6.74025 | − | 8.02576i | 0.375620 | − | 0.447258i | ||||
\(323\) | 8.81469 | + | 11.2088i | 0.490462 | + | 0.623673i | ||||
\(324\) | 1.35576 | + | 1.47034i | 0.0753202 | + | 0.0816857i | ||||
\(325\) | 15.8758 | + | 3.85143i | 0.880631 | + | 0.213639i | ||||
\(326\) | 14.7423 | − | 11.9664i | 0.816499 | − | 0.662757i | ||||
\(327\) | 9.48514 | + | 1.36376i | 0.524530 | + | 0.0754160i | ||||
\(328\) | 5.29359 | + | 8.26023i | 0.292290 | + | 0.456095i | ||||
\(329\) | 3.90823 | + | 20.2778i | 0.215468 | + | 1.11795i | ||||
\(330\) | −4.18279 | − | 6.99320i | −0.230255 | − | 0.384963i | ||||
\(331\) | 17.3149 | − | 24.3154i | 0.951715 | − | 1.33650i | 0.0100485 | − | 0.999950i | \(-0.496801\pi\) |
0.941667 | − | 0.336547i | \(-0.109259\pi\) | |||||||
\(332\) | −27.7586 | + | 21.0881i | −1.52345 | + | 1.15736i | ||||
\(333\) | −7.45786 | + | 3.84480i | −0.408688 | + | 0.210694i | ||||
\(334\) | −0.772564 | + | 2.34890i | −0.0422728 | + | 0.128526i | ||||
\(335\) | 4.58527 | + | 8.00183i | 0.250520 | + | 0.437187i | ||||
\(336\) | 4.96683 | + | 16.0702i | 0.270963 | + | 0.876701i | ||||
\(337\) | −2.01817 | − | 3.91470i | −0.109937 | − | 0.213247i | 0.827449 | − | 0.561541i | \(-0.189791\pi\) |
−0.937385 | + | 0.348294i | \(0.886761\pi\) | |||||||
\(338\) | 7.19234 | + | 4.95609i | 0.391212 | + | 0.269576i | ||||
\(339\) | 1.29912 | + | 0.925096i | 0.0705582 | + | 0.0502443i | ||||
\(340\) | −1.14117 | − | 5.07271i | −0.0618887 | − | 0.275106i | ||||
\(341\) | −15.8768 | + | 3.05999i | −0.859774 | + | 0.165708i | ||||
\(342\) | 8.16292 | + | 3.12260i | 0.441400 | + | 0.168851i | ||||
\(343\) | 2.20378 | − | 15.3276i | 0.118993 | − | 0.827613i | ||||
\(344\) | 0.472724 | + | 10.1985i | 0.0254876 | + | 0.549869i | ||||
\(345\) | −0.468143 | + | 1.92971i | −0.0252040 | + | 0.103892i | ||||
\(346\) | −5.91634 | − | 3.29507i | −0.318065 | − | 0.177144i | ||||
\(347\) | 10.6358 | − | 8.36405i | 0.570957 | − | 0.449006i | −0.290472 | − | 0.956884i | \(-0.593812\pi\) |
0.861429 | + | 0.507878i | \(0.169570\pi\) | |||||||
\(348\) | −4.45684 | − | 7.19676i | −0.238912 | − | 0.385787i | ||||
\(349\) | −10.9391 | − | 23.9532i | −0.585554 | − | 1.28219i | −0.938092 | − | 0.346387i | \(-0.887408\pi\) |
0.352537 | − | 0.935798i | \(-0.385319\pi\) | |||||||
\(350\) | −21.4763 | + | 5.56254i | −1.14796 | + | 0.297330i | ||||
\(351\) | −4.13823 | + | 1.43225i | −0.220882 | + | 0.0764481i | ||||
\(352\) | −23.8632 | + | 16.3537i | −1.27192 | + | 0.871653i | ||||
\(353\) | −2.26875 | + | 23.7594i | −0.120753 | + | 1.26459i | 0.708498 | + | 0.705712i | \(0.249373\pi\) |
−0.829252 | + | 0.558875i | \(0.811233\pi\) | |||||||
\(354\) | −3.24882 | − | 0.899696i | −0.172673 | − | 0.0478183i | ||||
\(355\) | 2.82715 | + | 11.6537i | 0.150050 | + | 0.618513i | ||||
\(356\) | −19.1412 | + | 13.1537i | −1.01448 | + | 0.697144i | ||||
\(357\) | 9.30968 | − | 2.73357i | 0.492720 | − | 0.144676i | ||||
\(358\) | −16.0300 | + | 7.62193i | −0.847213 | + | 0.402832i | ||||
\(359\) | 8.47324 | + | 3.86960i | 0.447201 | + | 0.204230i | 0.626269 | − | 0.779607i | \(-0.284581\pi\) |
−0.179069 | + | 0.983837i | \(0.557308\pi\) | |||||||
\(360\) | −2.19619 | − | 2.30921i | −0.115749 | − | 0.121706i | ||||
\(361\) | 19.1051 | − | 1.82431i | 1.00553 | − | 0.0960164i | ||||
\(362\) | 1.23693 | + | 2.95657i | 0.0650116 | + | 0.155394i | ||||
\(363\) | 11.9111 | + | 9.36697i | 0.625169 | + | 0.491639i | ||||
\(364\) | −36.5981 | − | 4.11326i | −1.91826 | − | 0.215593i | ||||
\(365\) | 14.3570 | + | 8.28902i | 0.751480 | + | 0.433867i | ||||
\(366\) | 0.261205 | + | 4.13802i | 0.0136534 | + | 0.216298i | ||||
\(367\) | −14.2080 | − | 13.5473i | −0.741650 | − | 0.707162i | 0.221787 | − | 0.975095i | \(-0.428811\pi\) |
−0.963438 | + | 0.267933i | \(0.913659\pi\) | |||||||
\(368\) | 6.94034 | + | 1.23600i | 0.361790 | + | 0.0644307i | ||||
\(369\) | 1.58944 | − | 3.08308i | 0.0827428 | − | 0.160499i | ||||
\(370\) | 11.7874 | − | 6.30904i | 0.612796 | − | 0.327991i | ||||
\(371\) | 18.6091 | + | 46.4832i | 0.966135 | + | 2.41329i | ||||
\(372\) | −5.79508 | + | 2.53030i | −0.300461 | + | 0.131190i | ||||
\(373\) | 20.0485 | − | 11.5750i | 1.03807 | − | 0.599332i | 0.118787 | − | 0.992920i | \(-0.462100\pi\) |
0.919287 | + | 0.393588i | \(0.128766\pi\) | |||||||
\(374\) | 9.23772 | + | 13.8976i | 0.477671 | + | 0.718629i | ||||
\(375\) | 7.43411 | − | 6.44169i | 0.383896 | − | 0.332647i | ||||
\(376\) | −10.5093 | + | 9.08281i | −0.541975 | + | 0.468410i | ||||
\(377\) | 18.3458 | − | 2.63773i | 0.944859 | − | 0.135850i | ||||
\(378\) | 4.03686 | − | 4.36678i | 0.207634 | − | 0.224603i | ||||
\(379\) | −27.3114 | + | 26.0413i | −1.40289 | + | 1.33765i | −0.531504 | + | 0.847056i | \(0.678373\pi\) |
−0.871386 | + | 0.490598i | \(0.836778\pi\) | |||||||
\(380\) | −13.0821 | − | 4.77414i | −0.671096 | − | 0.244908i | ||||
\(381\) | −13.0772 | − | 4.52606i | −0.669965 | − | 0.231877i | ||||
\(382\) | −1.99485 | + | 24.9575i | −0.102065 | + | 1.27694i | ||||
\(383\) | −1.27634 | − | 26.7936i | −0.0652178 | − | 1.36909i | −0.760025 | − | 0.649894i | \(-0.774813\pi\) |
0.694807 | − | 0.719197i | \(-0.255490\pi\) | |||||||
\(384\) | −7.70126 | + | 8.28798i | −0.393003 | + | 0.422944i | ||||
\(385\) | −19.7367 | + | 14.0544i | −1.00588 | + | 0.716281i | ||||
\(386\) | 0.234633 | + | 15.1956i | 0.0119425 | + | 0.773436i | ||||
\(387\) | 3.03659 | − | 1.95150i | 0.154359 | − | 0.0992002i | ||||
\(388\) | 35.8303 | + | 7.52916i | 1.81901 | + | 0.382235i | ||||
\(389\) | 3.62590 | + | 1.45159i | 0.183840 | + | 0.0735985i | 0.461756 | − | 0.887007i | \(-0.347219\pi\) |
−0.277916 | + | 0.960605i | \(0.589644\pi\) | |||||||
\(390\) | 6.55783 | − | 2.38368i | 0.332069 | − | 0.120703i | ||||
\(391\) | 0.769591 | − | 3.99302i | 0.0389199 | − | 0.201936i | ||||
\(392\) | 28.0648 | − | 11.1937i | 1.41748 | − | 0.565369i | ||||
\(393\) | 3.25739 | − | 5.06860i | 0.164314 | − | 0.255677i | ||||
\(394\) | −12.6837 | − | 6.29295i | −0.638995 | − | 0.317034i | ||||
\(395\) | −16.9144 | − | 0.805732i | −0.851056 | − | 0.0405408i | ||||
\(396\) | 9.23138 | + | 4.40383i | 0.463894 | + | 0.221301i | ||||
\(397\) | −21.4832 | + | 24.7929i | −1.07821 | + | 1.24432i | −0.110068 | + | 0.993924i | \(0.535107\pi\) |
−0.968143 | + | 0.250398i | \(0.919439\pi\) | |||||||
\(398\) | −0.958560 | − | 1.30305i | −0.0480483 | − | 0.0653162i | ||||
\(399\) | 7.32142 | − | 24.9345i | 0.366529 | − | 1.24828i | ||||
\(400\) | −10.4493 | − | 10.6528i | −0.522467 | − | 0.532640i | ||||
\(401\) | 2.97366i | 0.148498i | 0.997240 | + | 0.0742488i | \(0.0236559\pi\) | ||||
−0.997240 | + | 0.0742488i | \(0.976344\pi\) | |||||||
\(402\) | −10.3529 | − | 5.17853i | −0.516357 | − | 0.258281i | ||||
\(403\) | − | 13.8453i | − | 0.689684i | ||||||
\(404\) | −0.331759 | + | 2.06206i | −0.0165056 | + | 0.102591i | ||||
\(405\) | −0.317429 | + | 1.08106i | −0.0157732 | + | 0.0537185i | ||||
\(406\) | −20.2751 | + | 14.9149i | −1.00624 | + | 0.740215i | ||||
\(407\) | −28.0998 | + | 32.4289i | −1.39285 | + | 1.60744i | ||||
\(408\) | 4.71752 | + | 4.50970i | 0.233552 | + | 0.223263i | ||||
\(409\) | −17.7182 | − | 0.844020i | −0.876106 | − | 0.0417341i | −0.395291 | − | 0.918556i | \(-0.629356\pi\) |
−0.480815 | + | 0.876822i | \(0.659659\pi\) | |||||||
\(410\) | −2.45646 | + | 4.95110i | −0.121316 | + | 0.244517i | ||||
\(411\) | 6.63362 | − | 10.3221i | 0.327213 | − | 0.509153i | ||||
\(412\) | 17.9612 | + | 21.4424i | 0.884883 | + | 1.05639i | ||||
\(413\) | −1.89700 | + | 9.84256i | −0.0933451 | + | 0.484321i | ||||
\(414\) | −0.851447 | − | 2.34244i | −0.0418463 | − | 0.115125i | ||||
\(415\) | −18.2319 | − | 7.29896i | −0.894970 | − | 0.358292i | ||||
\(416\) | −9.88329 | − | 22.7148i | −0.484568 | − | 1.11368i | ||||
\(417\) | 0.753903 | − | 0.484504i | 0.0369188 | − | 0.0237263i | ||||
\(418\) | 44.6900 | − | 0.690052i | 2.18586 | − | 0.0337515i | ||||
\(419\) | 21.6552 | − | 15.4206i | 1.05793 | − | 0.753346i | 0.0878473 | − | 0.996134i | \(-0.472001\pi\) |
0.970079 | + | 0.242788i | \(0.0780618\pi\) | |||||||
\(420\) | −6.32414 | + | 7.05652i | −0.308587 | + | 0.344323i | ||||
\(421\) | 1.00666 | + | 21.1323i | 0.0490614 | + | 1.02993i | 0.880422 | + | 0.474192i | \(0.157260\pi\) |
−0.831360 | + | 0.555734i | \(0.812437\pi\) | |||||||
\(422\) | −22.9164 | − | 1.83170i | −1.11555 | − | 0.0891657i | ||||
\(423\) | 4.64089 | + | 1.60623i | 0.225648 | + | 0.0780975i | ||||
\(424\) | −20.8524 | + | 26.4462i | −1.01268 | + | 1.28434i | ||||
\(425\) | −6.22976 | + | 5.94006i | −0.302188 | + | 0.288135i | ||||
\(426\) | −11.0525 | − | 10.2174i | −0.535495 | − | 0.495037i | ||||
\(427\) | 12.2031 | − | 1.75454i | 0.590550 | − | 0.0849082i | ||||
\(428\) | 4.06700 | − | 6.77987i | 0.196586 | − | 0.327718i | ||||
\(429\) | −16.9247 | + | 14.6653i | −0.817132 | + | 0.708049i | ||||
\(430\) | −4.78992 | + | 3.18385i | −0.230990 | + | 0.153539i | ||||
\(431\) | 17.4353 | − | 10.0663i | 0.839830 | − | 0.484876i | −0.0173764 | − | 0.999849i | \(-0.505531\pi\) |
0.857206 | + | 0.514973i | \(0.172198\pi\) | |||||||
\(432\) | 3.90021 | + | 0.887905i | 0.187649 | + | 0.0427193i | ||||
\(433\) | −1.88948 | − | 4.71969i | −0.0908026 | − | 0.226814i | 0.876014 | − | 0.482286i | \(-0.160193\pi\) |
−0.966816 | + | 0.255472i | \(0.917769\pi\) | |||||||
\(434\) | 8.87264 | + | 16.5770i | 0.425900 | + | 0.795723i | ||||
\(435\) | 2.18519 | − | 4.23867i | 0.104772 | − | 0.203229i | ||||
\(436\) | 17.1793 | − | 8.49603i | 0.822740 | − | 0.406886i | ||||
\(437\) | −7.88253 | − | 7.51598i | −0.377073 | − | 0.359538i | ||||
\(438\) | −20.7670 | + | 1.31088i | −0.992287 | + | 0.0626363i | ||||
\(439\) | 16.0488 | + | 9.26577i | 0.765967 | + | 0.442231i | 0.831434 | − | 0.555624i | \(-0.187520\pi\) |
−0.0654673 | + | 0.997855i | \(0.520854\pi\) | |||||||
\(440\) | −14.8159 | − | 6.78913i | −0.706319 | − | 0.323659i | ||||
\(441\) | −8.39703 | − | 6.60350i | −0.399859 | − | 0.314452i | ||||
\(442\) | −13.1824 | + | 5.51506i | −0.627021 | + | 0.262325i | ||||
\(443\) | −29.2063 | + | 2.78887i | −1.38763 | + | 0.132503i | −0.761982 | − | 0.647599i | \(-0.775773\pi\) |
−0.625653 | + | 0.780102i | \(0.715167\pi\) | |||||||
\(444\) | −7.93791 | + | 14.7851i | −0.376716 | + | 0.701669i | ||||
\(445\) | −11.9016 | − | 5.43526i | −0.564188 | − | 0.257656i | ||||
\(446\) | 2.95795 | + | 6.22100i | 0.140063 | + | 0.294573i | ||||
\(447\) | 8.01954 | − | 2.35475i | 0.379311 | − | 0.111376i | ||||
\(448\) | 26.3898 | + | 20.8628i | 1.24680 | + | 0.985676i | ||||
\(449\) | −7.84894 | − | 32.3538i | −0.370415 | − | 1.52687i | −0.786527 | − | 0.617556i | \(-0.788123\pi\) |
0.416112 | − | 0.909313i | \(-0.363392\pi\) | |||||||
\(450\) | −1.40803 | + | 5.08442i | −0.0663751 | + | 0.239682i | ||||
\(451\) | 1.68618 | − | 17.6585i | 0.0793991 | − | 0.831505i | ||||
\(452\) | 3.18923 | + | 0.0533308i | 0.150009 | + | 0.00250847i | ||||
\(453\) | 10.1165 | − | 3.50135i | 0.475315 | − | 0.164508i | ||||
\(454\) | −7.39435 | − | 28.5487i | −0.347034 | − | 1.33986i | ||||
\(455\) | −8.61879 | − | 18.8725i | −0.404055 | − | 0.884757i | ||||
\(456\) | 16.9921 | − | 4.09920i | 0.795729 | − | 0.191963i | ||||
\(457\) | −1.09890 | + | 0.864187i | −0.0514045 | + | 0.0404250i | −0.643531 | − | 0.765420i | \(-0.722531\pi\) |
0.592126 | + | 0.805845i | \(0.298289\pi\) | |||||||
\(458\) | 14.4566 | − | 25.9570i | 0.675512 | − | 1.21289i | ||||
\(459\) | 0.543987 | − | 2.24235i | 0.0253912 | − | 0.104664i | ||||
\(460\) | 1.41416 | + | 3.71106i | 0.0659355 | + | 0.173029i | ||||
\(461\) | 1.58593 | − | 11.0304i | 0.0738642 | − | 0.513737i | −0.918979 | − | 0.394308i | \(-0.870984\pi\) |
0.992843 | − | 0.119429i | \(-0.0381065\pi\) | |||||||
\(462\) | 10.8658 | − | 28.4049i | 0.505524 | − | 1.32151i | ||||
\(463\) | 22.9943 | − | 4.43179i | 1.06864 | − | 0.205963i | 0.375539 | − | 0.926806i | \(-0.377457\pi\) |
0.693098 | + | 0.720843i | \(0.256245\pi\) | |||||||
\(464\) | −15.4982 | − | 6.81426i | −0.719484 | − | 0.316344i | ||||
\(465\) | −2.90177 | − | 2.06634i | −0.134566 | − | 0.0958241i | ||||
\(466\) | 0.202453 | − | 0.293802i | 0.00937844 | − | 0.0136101i | ||||
\(467\) | −7.33666 | − | 14.2311i | −0.339500 | − | 0.658538i | 0.655847 | − | 0.754894i | \(-0.272312\pi\) |
−0.995347 | + | 0.0963558i | \(0.969281\pi\) | |||||||
\(468\) | −5.19879 | + | 7.04824i | −0.240314 | + | 0.325805i | ||||
\(469\) | −12.8963 | + | 31.9126i | −0.595496 | + | 1.47359i | ||||
\(470\) | −7.43343 | − | 2.44489i | −0.342879 | − | 0.112774i | ||||
\(471\) | 13.4898 | − | 6.95447i | 0.621577 | − | 0.320445i | ||||
\(472\) | −6.37419 | + | 2.19699i | −0.293396 | + | 0.101125i | ||||
\(473\) | 10.7076 | − | 15.0367i | 0.492334 | − | 0.691387i | ||||
\(474\) | 18.2408 | − | 10.9102i | 0.837828 | − | 0.501124i | ||||
\(475\) | 4.36311 | + | 22.6380i | 0.200193 | + | 1.03870i | ||||
\(476\) | 12.2490 | − | 15.0510i | 0.561432 | − | 0.689861i | ||||
\(477\) | 11.7858 | + | 1.69455i | 0.539637 | + | 0.0775880i | ||||
\(478\) | 25.6924 | + | 31.6523i | 1.17514 | + | 1.44774i | ||||
\(479\) | −14.4585 | − | 3.50759i | −0.660624 | − | 0.160266i | −0.108589 | − | 0.994087i | \(-0.534633\pi\) |
−0.552035 | + | 0.833821i | \(0.686148\pi\) | |||||||
\(480\) | −6.23570 | − | 1.31867i | −0.284619 | − | 0.0601889i | ||||
\(481\) | −22.7130 | − | 28.8820i | −1.03563 | − | 1.31691i | ||||
\(482\) | 9.20861 | + | 7.73364i | 0.419441 | + | 0.352258i | ||||
\(483\) | −6.74122 | + | 3.07861i | −0.306736 | + | 0.140082i | ||||
\(484\) | 30.2434 | + | 1.94796i | 1.37470 | + | 0.0885434i | ||||
\(485\) | 6.74608 | + | 19.4915i | 0.306324 | + | 0.885065i | ||||
\(486\) | −0.419332 | − | 1.35061i | −0.0190213 | − | 0.0612651i | ||||
\(487\) | −14.5978 | − | 1.39392i | −0.661488 | − | 0.0631645i | −0.241088 | − | 0.970503i | \(-0.577504\pi\) |
−0.420400 | + | 0.907339i | \(0.638110\pi\) | |||||||
\(488\) | 5.11774 | + | 6.52492i | 0.231669 | + | 0.295369i | ||||
\(489\) | −13.0478 | + | 3.16536i | −0.590042 | + | 0.143143i | ||||
\(490\) | 13.5407 | + | 10.3142i | 0.611706 | + | 0.465948i | ||||
\(491\) | 3.32733 | + | 11.3318i | 0.150160 | + | 0.511399i | 0.999874 | − | 0.0158448i | \(-0.00504377\pi\) |
−0.849714 | + | 0.527243i | \(0.823226\pi\) | |||||||
\(492\) | −0.872339 | − | 6.88228i | −0.0393281 | − | 0.310277i | ||||
\(493\) | −4.05697 | + | 8.88352i | −0.182717 | + | 0.400094i | ||||
\(494\) | −6.66198 | + | 37.6879i | −0.299737 | + | 1.69566i | ||||
\(495\) | 0.547710 | + | 5.73588i | 0.0246177 | + | 0.257809i | ||||
\(496\) | −6.68606 | + | 10.7349i | −0.300213 | + | 0.482012i | ||||
\(497\) | −27.6658 | + | 35.1799i | −1.24098 | + | 1.57804i | ||||
\(498\) | 24.1297 | − | 5.03819i | 1.08128 | − | 0.225767i | ||||
\(499\) | −4.56808 | + | 7.91215i | −0.204495 | + | 0.354196i | −0.949972 | − | 0.312336i | \(-0.898889\pi\) |
0.745477 | + | 0.666532i | \(0.232222\pi\) | |||||||
\(500\) | 4.95721 | − | 19.0387i | 0.221693 | − | 0.851436i | ||||
\(501\) | 1.20657 | − | 1.26542i | 0.0539056 | − | 0.0565346i | ||||
\(502\) | −16.9200 | − | 17.2053i | −0.755178 | − | 0.767912i | ||||
\(503\) | −7.51173 | − | 3.87257i | −0.334932 | − | 0.172669i | 0.282554 | − | 0.959251i | \(-0.408818\pi\) |
−0.617486 | + | 0.786582i | \(0.711849\pi\) | |||||||
\(504\) | 1.70773 | − | 11.7705i | 0.0760683 | − | 0.524298i | ||||
\(505\) | −1.09232 | + | 0.437300i | −0.0486077 | + | 0.0194596i | ||||
\(506\) | −8.49463 | − | 9.50283i | −0.377632 | − | 0.422452i | ||||
\(507\) | −3.08813 | − | 5.34881i | −0.137149 | − | 0.237549i | ||||
\(508\) | −26.6821 | + | 7.35230i | −1.18383 | + | 0.326205i | ||||
\(509\) | 19.7656 | + | 22.8107i | 0.876094 | + | 1.01107i | 0.999824 | + | 0.0187509i | \(0.00596894\pi\) |
−0.123730 | + | 0.992316i | \(0.539486\pi\) | |||||||
\(510\) | −0.811524 | + | 3.58591i | −0.0359349 | + | 0.158787i | ||||
\(511\) | 8.80532 | + | 61.2424i | 0.389525 | + | 2.70920i | ||||
\(512\) | −3.30626 | + | 22.3846i | −0.146118 | + | 0.989267i | ||||
\(513\) | −4.26466 | − | 4.47265i | −0.188290 | − | 0.197472i | ||||
\(514\) | 19.5686 | + | 0.629548i | 0.863133 | + | 0.0277682i | ||||
\(515\) | −5.15380 | + | 14.8909i | −0.227103 | + | 0.656172i | ||||
\(516\) | 2.79479 | − | 6.65628i | 0.123034 | − | 0.293026i | ||||
\(517\) | 25.0864 | − | 1.19501i | 1.10330 | − | 0.0525565i | ||||
\(518\) | 45.7031 | + | 20.0250i | 2.00808 | + | 0.879849i | ||||
\(519\) | 2.77764 | + | 3.90065i | 0.121925 | + | 0.171219i | ||||
\(520\) | 8.10938 | − | 11.3572i | 0.355620 | − | 0.498047i | ||||
\(521\) | −14.5494 | − | 22.6393i | −0.637420 | − | 0.991844i | −0.998245 | − | 0.0592111i | \(-0.981141\pi\) |
0.360826 | − | 0.932633i | \(-0.382495\pi\) | |||||||
\(522\) | 0.660902 | + | 5.94908i | 0.0289269 | + | 0.260384i | ||||
\(523\) | −2.14374 | + | 5.35479i | −0.0937390 | + | 0.234149i | −0.967826 | − | 0.251621i | \(-0.919036\pi\) |
0.874087 | + | 0.485770i | \(0.161461\pi\) | |||||||
\(524\) | −0.372040 | − | 12.0444i | −0.0162526 | − | 0.526161i | ||||
\(525\) | 15.4036 | + | 2.96881i | 0.672270 | + | 0.129569i | ||||
\(526\) | 17.7880 | + | 11.0474i | 0.775594 | + | 0.481688i | ||||
\(527\) | 6.13717 | + | 3.94412i | 0.267339 | + | 0.171809i | ||||
\(528\) | 20.2045 | − | 3.19757i | 0.879290 | − | 0.139157i | ||||
\(529\) | 0.946595 | − | 19.8715i | 0.0411563 | − | 0.863977i | ||||
\(530\) | −18.8190 | − | 2.40983i | −0.817446 | − | 0.104677i | ||||
\(531\) | 1.80150 | + | 1.56101i | 0.0781784 | + | 0.0677419i | ||||
\(532\) | −16.1755 | − | 49.3930i | −0.701298 | − | 2.14146i | ||||
\(533\) | 14.5743 | + | 4.27940i | 0.631282 | + | 0.185361i | ||||
\(534\) | 16.2175 | − | 2.58788i | 0.701798 | − | 0.111988i | ||||
\(535\) | 4.45395 | 0.192561 | ||||||||
\(536\) | −22.9307 | + | 3.19100i | −0.990456 | + | 0.137830i | ||||
\(537\) | 12.5510 | 0.541616 | ||||||||
\(538\) | −24.2362 | + | 3.86746i | −1.04490 | + | 0.166738i | ||||
\(539\) | −52.4175 | − | 15.3912i | −2.25778 | − | 0.662945i | ||||
\(540\) | 0.701310 | + | 2.14150i | 0.0301796 | + | 0.0921554i | ||||
\(541\) | 11.7808 | + | 10.2082i | 0.506498 | + | 0.438883i | 0.870248 | − | 0.492614i | \(-0.163958\pi\) |
−0.363750 | + | 0.931497i | \(0.618504\pi\) | |||||||
\(542\) | −26.7847 | − | 3.42987i | −1.15050 | − | 0.147325i | ||||
\(543\) | 0.107830 | − | 2.26363i | 0.00462743 | − | 0.0971416i | ||||
\(544\) | 12.8842 | + | 2.08983i | 0.552404 | + | 0.0896009i | ||||
\(545\) | 9.08289 | + | 5.83722i | 0.389068 | + | 0.250039i | ||||
\(546\) | 22.1224 | + | 13.7393i | 0.946752 | + | 0.587987i | ||||
\(547\) | 7.64281 | + | 1.47303i | 0.326783 | + | 0.0629823i | 0.350004 | − | 0.936748i | \(-0.386180\pi\) |
−0.0232212 | + | 0.999730i | \(0.507392\pi\) | |||||||
\(548\) | −0.757653 | − | 24.5282i | −0.0323653 | − | 1.04779i | ||||
\(549\) | 1.08966 | − | 2.72183i | 0.0465054 | − | 0.116165i | ||||
\(550\) | 2.97900 | + | 26.8154i | 0.127025 | + | 1.14341i | ||||
\(551\) | 14.1414 | + | 22.0045i | 0.602445 | + | 0.937423i | ||||
\(552\) | −4.05677 | − | 2.89665i | −0.172668 | − | 0.123290i | ||||
\(553\) | −36.6591 | − | 51.4805i | −1.55890 | − | 2.18917i | ||||
\(554\) | 1.68639 | + | 0.738899i | 0.0716479 | + | 0.0313928i | ||||
\(555\) | −9.44302 | + | 0.449826i | −0.400834 | + | 0.0190941i | ||||
\(556\) | 0.693871 | − | 1.65257i | 0.0294267 | − | 0.0700847i | ||||
\(557\) | −0.199052 | + | 0.575124i | −0.00843411 | + | 0.0243688i | −0.949139 | − | 0.314856i | \(-0.898044\pi\) |
0.940705 | + | 0.339225i | \(0.110165\pi\) | |||||||
\(558\) | 4.46901 | + | 0.143774i | 0.189188 | + | 0.00608644i | ||||
\(559\) | 10.9079 | + | 11.4398i | 0.461354 | + | 0.483854i | ||||
\(560\) | −2.43121 | + | 18.7948i | −0.102737 | + | 0.794227i | ||||
\(561\) | −1.67931 | − | 11.6799i | −0.0709007 | − | 0.493125i | ||||
\(562\) | 1.55027 | − | 6.85026i | 0.0653944 | − | 0.288961i | ||||
\(563\) | 25.1383 | + | 29.0111i | 1.05945 | + | 1.22267i | 0.974052 | + | 0.226326i | \(0.0726714\pi\) |
0.0854001 | + | 0.996347i | \(0.472783\pi\) | |||||||
\(564\) | 9.46907 | − | 2.60922i | 0.398720 | − | 0.109868i | ||||
\(565\) | 0.898454 | + | 1.55617i | 0.0377983 | + | 0.0654685i | ||||
\(566\) | 14.2989 | + | 15.9960i | 0.601028 | + | 0.672361i | ||||
\(567\) | −3.90384 | + | 1.56286i | −0.163946 | + | 0.0656341i | ||||
\(568\) | −29.7915 | − | 4.32233i | −1.25002 | − | 0.181361i | ||||
\(569\) | −31.2236 | − | 16.0969i | −1.30896 | − | 0.674816i | −0.344436 | − | 0.938810i | \(-0.611930\pi\) |
−0.964524 | + | 0.263994i | \(0.914960\pi\) | |||||||
\(570\) | 6.90454 | + | 7.02096i | 0.289199 | + | 0.294076i | ||||
\(571\) | −7.52169 | + | 7.88852i | −0.314773 | + | 0.330124i | −0.862046 | − | 0.506830i | \(-0.830817\pi\) |
0.547273 | + | 0.836954i | \(0.315666\pi\) | |||||||
\(572\) | −11.2857 | + | 43.3440i | −0.471880 | + | 1.81230i | ||||
\(573\) | 8.85196 | − | 15.3320i | 0.369796 | − | 0.640506i | ||||
\(574\) | −20.1922 | + | 4.21607i | −0.842807 | + | 0.175975i | ||||
\(575\) | 4.06417 | − | 5.16802i | 0.169488 | − | 0.215521i | ||||
\(576\) | 7.43454 | − | 2.95426i | 0.309772 | − | 0.123094i | ||||
\(577\) | −3.45935 | − | 36.2280i | −0.144015 | − | 1.50819i | −0.721857 | − | 0.692043i | \(-0.756711\pi\) |
0.577842 | − | 0.816149i | \(-0.303895\pi\) | |||||||
\(578\) | −2.87427 | + | 16.2602i | −0.119554 | + | 0.676336i | ||||
\(579\) | 4.46413 | − | 9.77508i | 0.185523 | − | 0.406239i | ||||
\(580\) | −1.19931 | − | 9.46188i | −0.0497985 | − | 0.392883i | ||||
\(581\) | −20.6496 | − | 70.3261i | −0.856689 | − | 2.91762i | ||||
\(582\) | −20.5949 | − | 15.6876i | −0.853688 | − | 0.650270i | ||||
\(583\) | 59.1762 | − | 14.3560i | 2.45083 | − | 0.594564i | ||||
\(584\) | −32.7459 | + | 25.6838i | −1.35503 | + | 1.06280i | ||||
\(585\) | −4.91158 | − | 0.468999i | −0.203069 | − | 0.0193907i | ||||
\(586\) | −2.50898 | − | 8.08109i | −0.103645 | − | 0.333827i | ||||
\(587\) | −11.8631 | − | 34.2762i | −0.489642 | − | 1.41473i | −0.871449 | − | 0.490486i | \(-0.836819\pi\) |
0.381807 | − | 0.924242i | \(-0.375302\pi\) | |||||||
\(588\) | −21.3209 | − | 1.37326i | −0.879258 | − | 0.0566324i | ||||
\(589\) | 17.7735 | − | 8.11688i | 0.732344 | − | 0.334450i | ||||
\(590\) | −2.90857 | − | 2.44269i | −0.119744 | − | 0.100564i | ||||
\(591\) | 6.18896 | + | 7.86990i | 0.254580 | + | 0.323724i | ||||
\(592\) | 3.66302 | + | 33.3619i | 0.150549 | + | 1.37117i | ||||
\(593\) | −8.54040 | − | 2.07188i | −0.350712 | − | 0.0850819i | 0.0565330 | − | 0.998401i | \(-0.481995\pi\) |
−0.407245 | + | 0.913319i | \(0.633511\pi\) | |||||||
\(594\) | −4.55794 | − | 5.61526i | −0.187015 | − | 0.230397i | ||||
\(595\) | 10.8208 | + | 1.55580i | 0.443610 | + | 0.0637815i | ||||
\(596\) | 10.5515 | − | 12.9652i | 0.432207 | − | 0.531076i | ||||
\(597\) | 0.216475 | + | 1.12318i | 0.00885973 | + | 0.0459687i | ||||
\(598\) | 9.36672 | − | 5.60245i | 0.383034 | − | 0.229101i | ||||
\(599\) | 0.0888807 | − | 0.124816i | 0.00363157 | − | 0.00509982i | −0.812756 | − | 0.582604i | \(-0.802034\pi\) |
0.816388 | + | 0.577504i | \(0.195973\pi\) | |||||||
\(600\) | 3.43830 | + | 9.97564i | 0.140368 | + | 0.407254i | ||||
\(601\) | −4.78211 | + | 2.46535i | −0.195066 | + | 0.100564i | −0.552993 | − | 0.833186i | \(-0.686514\pi\) |
0.357926 | + | 0.933750i | \(0.383484\pi\) | |||||||
\(602\) | −20.3911 | − | 6.70674i | −0.831081 | − | 0.273346i | ||||
\(603\) | 5.03892 | + | 6.45052i | 0.205201 | + | 0.262686i | ||||
\(604\) | 12.7092 | − | 17.2304i | 0.517130 | − | 0.701097i | ||||
\(605\) | 7.82329 | + | 15.1751i | 0.318062 | + | 0.616954i | ||||
\(606\) | 0.837980 | − | 1.21609i | 0.0340406 | − | 0.0494001i | ||||
\(607\) | 27.3249 | + | 19.4580i | 1.10908 | + | 0.789776i | 0.979430 | − | 0.201783i | \(-0.0646737\pi\) |
0.129655 | + | 0.991559i | \(0.458613\pi\) | |||||||
\(608\) | 23.3653 | − | 26.0040i | 0.947586 | − | 1.05460i | ||||
\(609\) | 17.4763 | − | 3.36829i | 0.708177 | − | 0.136490i | ||||
\(610\) | −1.66910 | + | 4.36326i | −0.0675797 | + | 0.176663i | ||||
\(611\) | −3.06056 | + | 21.2867i | −0.123817 | + | 0.861167i | ||||
\(612\) | −1.64327 | − | 4.31229i | −0.0664252 | − | 0.174314i | ||||
\(613\) | −1.98197 | + | 8.16980i | −0.0800511 | + | 0.329975i | −0.997729 | − | 0.0673489i | \(-0.978546\pi\) |
0.917678 | + | 0.397324i | \(0.130061\pi\) | |||||||
\(614\) | −1.59701 | + | 2.86744i | −0.0644500 | + | 0.115721i | ||||
\(615\) | 3.07203 | − | 2.41587i | 0.123876 | − | 0.0974173i | ||||
\(616\) | −14.2642 | − | 59.1282i | −0.574720 | − | 2.38234i | ||||
\(617\) | 5.35093 | + | 11.7169i | 0.215420 | + | 0.471705i | 0.986234 | − | 0.165356i | \(-0.0528773\pi\) |
−0.770814 | + | 0.637061i | \(0.780150\pi\) | |||||||
\(618\) | −4.95917 | − | 19.1467i | −0.199487 | − | 0.770195i | ||||
\(619\) | 5.84652 | − | 2.02350i | 0.234992 | − | 0.0813314i | −0.207034 | − | 0.978334i | \(-0.566381\pi\) |
0.442026 | + | 0.897002i | \(0.354260\pi\) | |||||||
\(620\) | −7.12361 | − | 0.119122i | −0.286091 | − | 0.00478406i | ||||
\(621\) | −0.167525 | + | 1.75440i | −0.00672256 | + | 0.0704018i | ||||
\(622\) | 5.21162 | − | 18.8193i | 0.208967 | − | 0.754584i | ||||
\(623\) | −11.5125 | − | 47.4550i | −0.461237 | − | 1.90124i | ||||
\(624\) | −0.585657 | + | 17.5065i | −0.0234450 | + | 0.700821i | ||||
\(625\) | −7.26298 | + | 2.13260i | −0.290519 | + | 0.0853041i | ||||
\(626\) | −5.45445 | − | 11.4715i | −0.218004 | − | 0.458493i | ||||
\(627\) | −28.7483 | − | 13.1289i | −1.14810 | − | 0.524319i | ||||
\(628\) | 14.3581 | − | 26.7433i | 0.572950 | − | 1.06717i | ||||
\(629\) | 19.2727 | − | 1.84032i | 0.768453 | − | 0.0733784i | ||||
\(630\) | 6.18119 | − | 2.58601i | 0.246265 | − | 0.103029i | ||||
\(631\) | −21.6241 | − | 17.0054i | −0.860843 | − | 0.676974i | 0.0868281 | − | 0.996223i | \(-0.472327\pi\) |
−0.947671 | + | 0.319249i | \(0.896569\pi\) | |||||||
\(632\) | 17.7085 | − | 38.6452i | 0.704407 | − | 1.53722i | ||||
\(633\) | 14.0781 | + | 8.12800i | 0.559555 | + | 0.323059i | ||||
\(634\) | 26.6328 | − | 1.68114i | 1.05772 | − | 0.0667668i | ||||
\(635\) | −11.2842 | − | 10.7595i | −0.447800 | − | 0.426977i | ||||
\(636\) | 21.3463 | − | 10.5568i | 0.846435 | − | 0.418605i | ||||
\(637\) | 21.4356 | − | 41.5793i | 0.849310 | − | 1.64743i | ||||
\(638\) | 14.4451 | + | 26.9882i | 0.571886 | + | 1.06847i | ||||
\(639\) | 3.95567 | + | 9.88078i | 0.156484 | + | 0.390877i | ||||
\(640\) | −11.7721 | + | 4.88966i | −0.465333 | + | 0.193281i | ||||
\(641\) | −16.4681 | + | 9.50787i | −0.650451 | + | 0.375538i | −0.788629 | − | 0.614869i | \(-0.789209\pi\) |
0.138178 | + | 0.990407i | \(0.455875\pi\) | |||||||
\(642\) | −4.65580 | + | 3.09470i | −0.183750 | + | 0.122138i | ||||
\(643\) | 6.78337 | − | 5.87783i | 0.267510 | − | 0.231799i | −0.510768 | − | 0.859719i | \(-0.670639\pi\) |
0.778278 | + | 0.627920i | \(0.216093\pi\) | |||||||
\(644\) | −7.62451 | + | 12.7104i | −0.300448 | + | 0.500860i | ||||
\(645\) | 4.02556 | − | 0.578788i | 0.158506 | − | 0.0227897i | ||||
\(646\) | −14.8080 | − | 13.6892i | −0.582613 | − | 0.538595i | ||||
\(647\) | −31.2396 | + | 29.7869i | −1.22816 | + | 1.17104i | −0.248875 | + | 0.968536i | \(0.580061\pi\) |
−0.979281 | + | 0.202508i | \(0.935091\pi\) | |||||||
\(648\) | −2.22105 | − | 1.75126i | −0.0872512 | − | 0.0687962i | ||||
\(649\) | 11.5199 | + | 3.98708i | 0.452196 | + | 0.156507i | ||||
\(650\) | −23.0296 | − | 1.84075i | −0.903294 | − | 0.0722000i | ||||
\(651\) | −0.632608 | − | 13.2801i | −0.0247939 | − | 0.520487i | ||||
\(652\) | −17.9215 | + | 19.9969i | −0.701861 | + | 0.783141i | ||||
\(653\) | 34.7129 | − | 24.7190i | 1.35842 | − | 0.967328i | 0.359000 | − | 0.933337i | \(-0.383118\pi\) |
0.999422 | − | 0.0339909i | \(-0.0108217\pi\) | |||||||
\(654\) | −13.5503 | + | 0.209229i | −0.529860 | + | 0.00818150i | ||||
\(655\) | 5.71082 | − | 3.67012i | 0.223140 | − | 0.143403i | ||||
\(656\) | −9.23354 | − | 10.3561i | −0.360509 | − | 0.404338i | ||||
\(657\) | 13.6598 | + | 5.46854i | 0.532918 | + | 0.213348i | ||||
\(658\) | −9.97696 | − | 27.4479i | −0.388942 | − | 1.07003i | ||||
\(659\) | 5.38579 | − | 27.9441i | 0.209800 | − | 1.08855i | −0.712382 | − | 0.701792i | \(-0.752383\pi\) |
0.922182 | − | 0.386756i | \(-0.126404\pi\) | |||||||
\(660\) | 7.39990 | + | 8.83417i | 0.288041 | + | 0.343870i | ||||
\(661\) | −6.22890 | + | 9.69236i | −0.242276 | + | 0.376989i | −0.941002 | − | 0.338400i | \(-0.890114\pi\) |
0.698726 | + | 0.715389i | \(0.253751\pi\) | |||||||
\(662\) | −18.7624 | + | 37.8162i | −0.729220 | + | 1.46977i | ||||
\(663\) | 10.0928 | + | 0.480778i | 0.391971 | + | 0.0186719i | ||||
\(664\) | 34.0666 | − | 35.6365i | 1.32204 | − | 1.38296i | ||||
\(665\) | 19.1742 | − | 22.1282i | 0.743543 | − | 0.858094i | ||||
\(666\) | 9.55842 | − | 7.03143i | 0.370381 | − | 0.272462i | ||||
\(667\) | 2.10153 | − | 7.15717i | 0.0813717 | − | 0.277127i | ||||
\(668\) | 0.555465 | − | 3.45251i | 0.0214916 | − | 0.133582i | ||||
\(669\) | − | 4.87085i | − | 0.188318i | ||||||
\(670\) | −8.18675 | − | 10.1531i | −0.316282 | − | 0.392248i | ||||
\(671\) | − | 14.9935i | − | 0.578817i | ||||||
\(672\) | −10.5177 | − | 21.3359i | −0.405728 | − | 0.823049i | ||||
\(673\) | −11.6886 | + | 39.8078i | −0.450564 | + | 1.53448i | 0.350887 | + | 0.936418i | \(0.385880\pi\) |
−0.801451 | + | 0.598061i | \(0.795938\pi\) | |||||||
\(674\) | 3.69086 | + | 5.01730i | 0.142166 | + | 0.193259i | ||||
\(675\) | 2.44298 | − | 2.81935i | 0.0940304 | − | 0.108517i | ||||
\(676\) | −11.1489 | − | 5.31858i | −0.428804 | − | 0.204561i | ||||
\(677\) | 5.23390 | + | 0.249321i | 0.201155 | + | 0.00958220i | 0.147918 | − | 0.989000i | \(-0.452743\pi\) |
0.0532374 | + | 0.998582i | \(0.483046\pi\) | |||||||
\(678\) | −2.02043 | − | 1.00243i | −0.0775942 | − | 0.0384980i | ||||
\(679\) | −41.6183 | + | 64.7594i | −1.59717 | + | 2.48524i | ||||
\(680\) | 2.72416 | + | 6.82996i | 0.104467 | + | 0.261917i | ||||
\(681\) | −3.94647 | + | 20.4762i | −0.151229 | + | 0.784651i | ||||
\(682\) | 21.4907 | − | 7.81157i | 0.822920 | − | 0.299121i | ||||
\(683\) | 6.61174 | + | 2.64694i | 0.252991 | + | 0.101282i | 0.494692 | − | 0.869068i | \(-0.335281\pi\) |
−0.241701 | + | 0.970351i | \(0.577705\pi\) | |||||||
\(684\) | −12.0958 | − | 2.54173i | −0.462493 | − | 0.0971853i | ||||
\(685\) | 11.6300 | − | 7.47413i | 0.444359 | − | 0.285572i | ||||
\(686\) | 0.338106 | + | 21.8968i | 0.0129089 | + | 0.836024i | ||||
\(687\) | −17.1134 | + | 12.1864i | −0.652918 | + | 0.464941i | ||||
\(688\) | −2.93294 | − | 14.1374i | −0.111817 | − | 0.538982i | ||||
\(689\) | 2.48101 | + | 52.0827i | 0.0945188 | + | 1.98419i | ||||
\(690\) | 0.223744 | − | 2.79926i | 0.00851778 | − | 0.106566i | ||||
\(691\) | −21.7914 | − | 7.54209i | −0.828985 | − | 0.286915i | −0.120565 | − | 0.992705i | \(-0.538471\pi\) |
−0.708420 | + | 0.705791i | \(0.750592\pi\) | |||||||
\(692\) | 8.99675 | + | 3.28325i | 0.342005 | + | 0.124811i | ||||
\(693\) | −15.5637 | + | 14.8399i | −0.591215 | + | 0.563722i | ||||
\(694\) | −12.9894 | + | 14.0510i | −0.493070 | + | 0.533367i | ||||
\(695\) | 0.999437 | − | 0.143697i | 0.0379108 | − | 0.00545075i | ||||
\(696\) | 7.82798 | + | 9.05739i | 0.296719 | + | 0.343319i | ||||
\(697\) | −6.04870 | + | 5.24123i | −0.229111 | + | 0.198526i | ||||
\(698\) | 20.6149 | + | 31.0139i | 0.780285 | + | 1.17389i | ||||
\(699\) | −0.218495 | + | 0.126148i | −0.00826423 | + | 0.00477136i | ||||
\(700\) | 28.7530 | − | 12.5543i | 1.08676 | − | 0.474510i | ||||
\(701\) | 17.8609 | + | 44.6144i | 0.674598 | + | 1.68506i | 0.727180 | + | 0.686447i | \(0.240830\pi\) |
−0.0525828 | + | 0.998617i | \(0.516745\pi\) | |||||||
\(702\) | 5.46004 | − | 2.92242i | 0.206076 | − | 0.110300i | ||||
\(703\) | 23.7607 | − | 46.0893i | 0.896152 | − | 1.73829i | ||||
\(704\) | 29.6817 | − | 28.1566i | 1.11867 | − | 1.06119i | ||||
\(705\) | 4.00459 | + | 3.81837i | 0.150822 | + | 0.143808i | ||||
\(706\) | −2.12641 | − | 33.6867i | −0.0800286 | − | 1.26782i | ||||
\(707\) | −3.80297 | − | 2.19565i | −0.143026 | − | 0.0825758i | ||||
\(708\) | 4.73762 | + | 0.532461i | 0.178051 | + | 0.0200111i | ||||
\(709\) | 12.2731 | + | 9.65167i | 0.460926 | + | 0.362476i | 0.821456 | − | 0.570271i | \(-0.193162\pi\) |
−0.360531 | + | 0.932747i | \(0.617404\pi\) | |||||||
\(710\) | −6.54528 | − | 15.6448i | −0.245640 | − | 0.587141i | ||||
\(711\) | −14.9613 | + | 1.42863i | −0.561091 | + | 0.0535777i | ||||
\(712\) | 23.8003 | − | 22.6354i | 0.891952 | − | 0.848296i | ||||
\(713\) | −5.06859 | − | 2.31475i | −0.189820 | − | 0.0866880i | ||||
\(714\) | −12.3922 | + | 5.89222i | −0.463766 | + | 0.220511i | ||||
\(715\) | −24.2100 | + | 7.10870i | −0.905402 | + | 0.265850i | ||||
\(716\) | 20.6881 | − | 14.2167i | 0.773150 | − | 0.531302i | ||||
\(717\) | −6.79618 | − | 28.0142i | −0.253808 | − | 1.04621i | ||||
\(718\) | −12.6956 | − | 3.51580i | −0.473796 | − | 0.131208i | ||||
\(719\) | 2.43298 | − | 25.4793i | 0.0907347 | − | 0.950217i | −0.829411 | − | 0.558640i | \(-0.811324\pi\) |
0.920145 | − | 0.391577i | \(-0.128070\pi\) | |||||||
\(720\) | 3.58169 | + | 2.73549i | 0.133482 | + | 0.101946i | ||||
\(721\) | −55.5755 | + | 19.2349i | −2.06974 | + | 0.716344i | ||||
\(722\) | −26.2745 | + | 6.80532i | −0.977836 | + | 0.253268i | ||||
\(723\) | −3.53234 | − | 7.73475i | −0.131369 | − | 0.287659i | ||||
\(724\) | −2.38630 | − | 3.85333i | −0.0886863 | − | 0.143208i | ||||
\(725\) | −12.4114 | + | 9.76046i | −0.460949 | + | 0.362494i | ||||
\(726\) | −18.7218 | − | 10.4270i | −0.694831 | − | 0.386982i | ||||
\(727\) | 0.609983 | − | 2.51439i | 0.0226230 | − | 0.0932534i | −0.959381 | − | 0.282114i | \(-0.908964\pi\) |
0.982004 | + | 0.188861i | \(0.0604795\pi\) | |||||||
\(728\) | 52.0275 | − | 2.41158i | 1.92827 | − | 0.0893792i | ||||
\(729\) | −0.142315 | + | 0.989821i | −0.00527092 | + | 0.0366601i | ||||
\(730\) | −21.8974 | − | 8.37650i | −0.810459 | − | 0.310028i | ||||
\(731\) | −8.17824 | + | 1.57623i | −0.302483 | + | 0.0582988i | ||||
\(732\) | −1.28695 | − | 5.72072i | −0.0475670 | − | 0.211444i | ||||
\(733\) | 27.4396 | + | 19.5397i | 1.01351 | + | 0.721714i | 0.960898 | − | 0.276901i | \(-0.0893075\pi\) |
0.0526072 | + | 0.998615i | \(0.483247\pi\) | |||||||
\(734\) | 22.8611 | + | 15.7531i | 0.843819 | + | 0.581458i | ||||
\(735\) | −5.51523 | − | 10.6981i | −0.203432 | − | 0.394604i | ||||
\(736\) | −9.96794 | − | 0.179458i | −0.367423 | − | 0.00661491i | ||||
\(737\) | 36.1836 | + | 21.0476i | 1.33284 | + | 0.775298i | ||||
\(738\) | −1.53265 | + | 4.65987i | −0.0564177 | + | 0.171532i | ||||
\(739\) | 1.79879 | − | 0.927341i | 0.0661696 | − | 0.0341128i | −0.424824 | − | 0.905276i | \(-0.639664\pi\) |
0.490994 | + | 0.871163i | \(0.336634\pi\) | |||||||
\(740\) | −15.0556 | + | 11.4377i | −0.553455 | + | 0.420458i | ||||
\(741\) | 15.6978 | − | 22.0445i | 0.576673 | − | 0.809824i | ||||
\(742\) | −36.3472 | − | 60.7688i | −1.33435 | − | 2.23089i | ||||
\(743\) | −1.13696 | − | 5.89912i | −0.0417111 | − | 0.216418i | 0.955093 | − | 0.296307i | \(-0.0957553\pi\) |
−0.996804 | + | 0.0798897i | \(0.974543\pi\) | |||||||
\(744\) | 7.52921 | − | 4.82512i | 0.276034 | − | 0.176897i | ||||
\(745\) | 9.32125 | + | 1.34019i | 0.341504 | + | 0.0491009i | ||||
\(746\) | −25.4192 | + | 20.6329i | −0.930662 | + | 0.755424i | ||||
\(747\) | −16.9389 | − | 4.10933i | −0.619761 | − | 0.150352i | ||||
\(748\) | −15.9980 | − | 17.3500i | −0.584945 | − | 0.634379i | ||||
\(749\) | 10.2756 | + | 13.0665i | 0.375462 | + | 0.477439i | ||||
\(750\) | −8.94652 | + | 10.6528i | −0.326681 | + | 0.388986i | ||||
\(751\) | −20.8298 | + | 9.51267i | −0.760091 | + | 0.347122i | −0.757466 | − | 0.652874i | \(-0.773563\pi\) |
−0.00262526 | + | 0.999997i | \(0.500836\pi\) | |||||||
\(752\) | 12.6526 | − | 15.0266i | 0.461392 | − | 0.547962i | ||||
\(753\) | 5.58085 | + | 16.1248i | 0.203378 | + | 0.587621i | ||||
\(754\) | −25.0330 | + | 7.77211i | −0.911647 | + | 0.283044i | ||||
\(755\) | 12.0071 | + | 1.14654i | 0.436982 | + | 0.0417267i | ||||
\(756\) | −4.66451 | + | 6.99803i | −0.169647 | + | 0.254516i | ||||
\(757\) | −29.4835 | + | 7.15262i | −1.07160 | + | 0.259967i | −0.732488 | − | 0.680780i | \(-0.761641\pi\) |
−0.339109 | + | 0.940747i | \(0.610126\pi\) | |||||||
\(758\) | 32.3382 | − | 42.4543i | 1.17458 | − | 1.54201i | ||||
\(759\) | 2.53921 | + | 8.64775i | 0.0921675 | + | 0.313894i | ||||
\(760\) | 19.3336 | + | 3.75194i | 0.701304 | + | 0.136097i | ||||
\(761\) | 18.7336 | − | 41.0209i | 0.679094 | − | 1.48701i | −0.184507 | − | 0.982831i | \(-0.559069\pi\) |
0.863601 | − | 0.504177i | \(-0.168204\pi\) | |||||||
\(762\) | 19.2715 | + | 3.40657i | 0.698133 | + | 0.123407i | ||||
\(763\) | 3.83035 | + | 40.1133i | 0.138668 | + | 1.45220i | ||||
\(764\) | −2.77593 | − | 35.2989i | −0.100430 | − | 1.27707i | ||||
\(765\) | 1.60706 | − | 2.04354i | 0.0581032 | − | 0.0738842i | ||||
\(766\) | 7.75346 | + | 37.1341i | 0.280144 | + | 1.34171i | ||||
\(767\) | −5.21925 | + | 9.04000i | −0.188456 | + | 0.326416i | ||||
\(768\) | 8.90817 | − | 13.2908i | 0.321446 | − | 0.479589i | ||||
\(769\) | −0.0255329 | + | 0.0267781i | −0.000920740 | + | 0.000965644i | −0.724194 | − | 0.689596i | \(-0.757788\pi\) |
0.723274 | + | 0.690562i | \(0.242637\pi\) | |||||||
\(770\) | 24.4311 | − | 24.0260i | 0.880437 | − | 0.865837i | ||||
\(771\) | −12.3053 | − | 6.34380i | −0.443163 | − | 0.228466i | ||||
\(772\) | −3.71404 | − | 21.1691i | −0.133671 | − | 0.761891i | ||||
\(773\) | 5.56591 | − | 2.22825i | 0.200192 | − | 0.0801447i | −0.269400 | − | 0.963028i | \(-0.586825\pi\) |
0.469592 | + | 0.882884i | \(0.344401\pi\) | |||||||
\(774\) | −3.80584 | + | 3.40206i | −0.136798 | + | 0.122285i | ||||
\(775\) | 5.89742 | + | 10.2146i | 0.211842 | + | 0.366920i | ||||
\(776\) | −51.7166 | − | 2.52997i | −1.85652 | − | 0.0908205i | ||||
\(777\) | −23.1054 | − | 26.6651i | −0.828903 | − | 0.956605i | ||||
\(778\) | −5.38721 | − | 1.21917i | −0.193141 | − | 0.0437095i | ||||
\(779\) | 3.05070 | + | 21.2181i | 0.109303 | + | 0.760217i | ||||
\(780\) | −8.62710 | + | 4.79034i | −0.308900 | + | 0.171522i | ||||
\(781\) | 37.5604 | + | 39.3923i | 1.34402 | + | 1.40957i | ||||
\(782\) | −0.184919 | + | 5.74793i | −0.00661268 | + | 0.205546i | ||||
\(783\) | 1.38432 | − | 3.99973i | 0.0494716 | − | 0.142939i | ||||
\(784\) | −36.6991 | + | 21.8868i | −1.31068 | + | 0.781673i | ||||
\(785\) | 17.0805 | − | 0.813647i | 0.609631 | − | 0.0290403i | ||||
\(786\) | −3.41955 | + | 7.80444i | −0.121971 | + | 0.278375i | ||||
\(787\) | 4.42024 | + | 6.20737i | 0.157565 | + | 0.221269i | 0.885810 | − | 0.464048i | \(-0.153603\pi\) |
−0.728246 | + | 0.685316i | \(0.759664\pi\) | |||||||
\(788\) | 19.1157 | + | 5.96181i | 0.680970 | + | 0.212381i | ||||
\(789\) | −8.00493 | − | 12.4559i | −0.284983 | − | 0.443442i | ||||
\(790\) | 23.8013 | − | 2.64416i | 0.846812 | − | 0.0940749i | ||||
\(791\) | −2.49251 | + | 6.22599i | −0.0886234 | + | 0.221371i | ||||
\(792\) | −13.8734 | − | 4.09292i | −0.492971 | − | 0.145436i | ||||
\(793\) | 12.6068 | + | 2.42975i | 0.447679 | + | 0.0862831i | ||||
\(794\) | 24.4771 | − | 39.4120i | 0.868660 | − | 1.39868i | ||||
\(795\) | 11.2860 | + | 7.25308i | 0.400274 | + | 0.257240i | ||||
\(796\) | 1.62906 | + | 1.60616i | 0.0577405 | + | 0.0569287i | ||||
\(797\) | −0.675334 | + | 14.1770i | −0.0239215 | + | 0.502175i | 0.954833 | + | 0.297142i | \(0.0960334\pi\) |
−0.978755 | + | 0.205033i | \(0.934270\pi\) | |||||||
\(798\) | −4.66801 | + | 36.4537i | −0.165246 | + | 1.29045i | ||||
\(799\) | −8.56383 | − | 7.42060i | −0.302966 | − | 0.262522i | ||||
\(800\) | 16.9670 | + | 12.5485i | 0.599872 | + | 0.443655i | ||||
\(801\) | −11.1422 | − | 3.27164i | −0.393689 | − | 0.115598i | ||||
\(802\) | −0.662685 | − | 4.15285i | −0.0234002 | − | 0.146642i | ||||
\(803\) | 75.2461 | 2.65538 | ||||||||
\(804\) | 15.6124 | + | 4.92488i | 0.550605 | + | 0.173687i | ||||
\(805\) | −8.34993 | −0.294296 | ||||||||
\(806\) | 3.08545 | + | 19.3356i | 0.108680 | + | 0.681068i | ||||
\(807\) | 16.6514 | + | 4.88930i | 0.586159 | + | 0.172112i | ||||
\(808\) | 0.00378359 | − | 2.95369i | 0.000133106 | − | 0.103911i | ||||
\(809\) | 13.8138 | + | 11.9697i | 0.485668 | + | 0.420834i | 0.862969 | − | 0.505257i | \(-0.168602\pi\) |
−0.377301 | + | 0.926091i | \(0.623148\pi\) | |||||||
\(810\) | 0.202387 | − | 1.58049i | 0.00711117 | − | 0.0555329i | ||||
\(811\) | −0.426481 | + | 8.95293i | −0.0149758 | + | 0.314380i | 0.978934 | + | 0.204179i | \(0.0654525\pi\) |
−0.993909 | + | 0.110201i | \(0.964851\pi\) | |||||||
\(812\) | 24.9913 | − | 25.3477i | 0.877024 | − | 0.889530i | ||||
\(813\) | 16.0631 | + | 10.3232i | 0.563359 | + | 0.362049i | ||||
\(814\) | 32.0158 | − | 51.5505i | 1.12215 | − | 1.80684i | ||||
\(815\) | −14.8541 | − | 2.86289i | −0.520315 | − | 0.100282i | ||||
\(816\) | −7.59322 | − | 5.24669i | −0.265816 | − | 0.183671i | ||||
\(817\) | −8.29075 | + | 20.7093i | −0.290057 | + | 0.724527i | ||||
\(818\) | 24.9323 | − | 2.76980i | 0.871737 | − | 0.0968439i | ||||
\(819\) | −9.95550 | − | 15.4911i | −0.347873 | − | 0.541301i | ||||
\(820\) | 2.32720 | − | 7.46185i | 0.0812695 | − | 0.260579i | ||||
\(821\) | −13.8604 | − | 19.4642i | −0.483731 | − | 0.679305i | 0.498519 | − | 0.866879i | \(-0.333877\pi\) |
−0.982251 | + | 0.187573i | \(0.939938\pi\) | |||||||
\(822\) | −6.96385 | + | 15.8936i | −0.242892 | + | 0.554354i | ||||
\(823\) | −11.0272 | + | 0.525291i | −0.384384 | + | 0.0183105i | −0.238885 | − | 0.971048i | \(-0.576782\pi\) |
−0.145499 | + | 0.989358i | \(0.546479\pi\) | |||||||
\(824\) | −29.8620 | − | 25.9427i | −1.04029 | − | 0.903755i | ||||
\(825\) | 6.23979 | − | 18.0287i | 0.217242 | − | 0.627679i | ||||
\(826\) | 0.455814 | − | 14.1683i | 0.0158598 | − | 0.492979i | ||||
\(827\) | −3.46875 | − | 3.63792i | −0.120620 | − | 0.126503i | 0.660655 | − | 0.750690i | \(-0.270279\pi\) |
−0.781275 | + | 0.624187i | \(0.785430\pi\) | |||||||
\(828\) | 1.71110 | + | 3.08158i | 0.0594648 | + | 0.107092i | ||||
\(829\) | −0.785088 | − | 5.46041i | −0.0272672 | − | 0.189648i | 0.971635 | − | 0.236484i | \(-0.0759951\pi\) |
−0.998903 | + | 0.0468364i | \(0.985086\pi\) | |||||||
\(830\) | 27.0883 | + | 6.13031i | 0.940248 | + | 0.212786i | ||||
\(831\) | −0.852563 | − | 0.983910i | −0.0295751 | − | 0.0341315i | ||||
\(832\) | 18.8645 | + | 29.5197i | 0.654008 | + | 1.02341i | ||||
\(833\) | 12.3244 | + | 21.3464i | 0.427014 | + | 0.739610i | ||||
\(834\) | −0.944887 | + | 0.844640i | −0.0327188 | + | 0.0292475i | ||||
\(835\) | 1.82888 | − | 0.732172i | 0.0632909 | − | 0.0253378i | ||||
\(836\) | −62.2578 | + | 10.9229i | −2.15323 | + | 0.377777i | ||||
\(837\) | −2.81023 | − | 1.44878i | −0.0971358 | − | 0.0500770i | ||||
\(838\) | −26.8060 | + | 26.3615i | −0.925997 | + | 0.910642i | ||||
\(839\) | −39.6333 | + | 41.5662i | −1.36829 | + | 1.43502i | −0.589451 | + | 0.807804i | \(0.700656\pi\) |
−0.778842 | + | 0.627220i | \(0.784193\pi\) | |||||||
\(840\) | 7.25939 | − | 11.2641i | 0.250473 | − | 0.388648i | ||||
\(841\) | 5.54290 | − | 9.60059i | 0.191135 | − | 0.331055i | ||||
\(842\) | −6.11521 | − | 29.2879i | −0.210744 | − | 1.00933i | ||||
\(843\) | −3.07000 | + | 3.90382i | −0.105736 | + | 0.134455i | ||||
\(844\) | 32.4119 | − | 2.54890i | 1.11566 | − | 0.0877366i | ||||
\(845\) | −0.661479 | − | 6.92732i | −0.0227556 | − | 0.238307i | ||||
\(846\) | −6.83916 | − | 1.20894i | −0.235135 | − | 0.0415642i | ||||
\(847\) | −26.4700 | + | 57.9611i | −0.909519 | + | 1.99157i | ||||
\(848\) | 23.2277 | − | 41.5802i | 0.797643 | − | 1.42787i | ||||
\(849\) | −4.27422 | − | 14.5566i | −0.146691 | − | 0.499583i | ||||
\(850\) | 7.37638 | − | 9.68387i | 0.253008 | − | 0.332154i | ||||
\(851\) | −14.3706 | + | 3.48628i | −0.492619 | + | 0.119508i | ||||
\(852\) | 17.7123 | + | 11.8061i | 0.606813 | + | 0.404469i | ||||
\(853\) | 9.48769 | + | 0.905964i | 0.324852 | + | 0.0310196i | 0.256208 | − | 0.966622i | \(-0.417527\pi\) |
0.0686439 | + | 0.997641i | \(0.478133\pi\) | |||||||
\(854\) | −16.6512 | + | 5.16977i | −0.569792 | + | 0.176906i | ||||
\(855\) | −2.27737 | − | 6.58003i | −0.0778845 | − | 0.225032i | ||||
\(856\) | −4.16884 | + | 10.3747i | −0.142488 | + | 0.354601i | ||||
\(857\) | 26.6362 | − | 12.1643i | 0.909874 | − | 0.415526i | 0.0952092 | − | 0.995457i | \(-0.469648\pi\) |
0.814665 | + | 0.579932i | \(0.196921\pi\) | |||||||
\(858\) | 20.3679 | − | 24.2525i | 0.695349 | − | 0.827966i | ||||
\(859\) | −25.8233 | − | 32.8369i | −0.881078 | − | 1.12038i | −0.991960 | − | 0.126549i | \(-0.959610\pi\) |
0.110882 | − | 0.993834i | \(-0.464632\pi\) | |||||||
\(860\) | 5.97981 | − | 5.51383i | 0.203910 | − | 0.188020i | ||||
\(861\) | 14.1748 | + | 3.43877i | 0.483077 | + | 0.117193i | ||||
\(862\) | −22.1059 | + | 17.9435i | −0.752931 | + | 0.611158i | ||||
\(863\) | −23.1448 | − | 3.32772i | −0.787859 | − | 0.113277i | −0.263371 | − | 0.964695i | \(-0.584834\pi\) |
−0.524488 | + | 0.851418i | \(0.675743\pi\) | |||||||
\(864\) | −5.64469 | − | 0.370832i | −0.192036 | − | 0.0126160i | ||||
\(865\) | 1.02107 | + | 5.29779i | 0.0347173 | + | 0.180130i | ||||
\(866\) | 3.69053 | + | 6.17018i | 0.125409 | + | 0.209671i | ||||
\(867\) | 6.77272 | − | 9.51096i | 0.230014 | − | 0.323009i | ||||
\(868\) | −16.0853 | − | 21.1733i | −0.545969 | − | 0.718668i | ||||
\(869\) | −68.3158 | + | 35.2192i | −2.31746 | + | 1.19473i | ||||
\(870\) | −2.10712 | + | 6.40647i | −0.0714380 | + | 0.217200i | ||||
\(871\) | −23.5609 | + | 27.0129i | −0.798329 | + | 0.915297i | ||||
\(872\) | −22.0983 | + | 15.6935i | −0.748343 | + | 0.531450i | ||||
\(873\) | 8.38849 | + | 16.2714i | 0.283907 | + | 0.550704i | ||||
\(874\) | 12.6833 | + | 8.73977i | 0.429017 | + | 0.295627i | ||||
\(875\) | 33.6942 | + | 23.9935i | 1.13907 | + | 0.811128i | ||||
\(876\) | 28.7100 | − | 6.45867i | 0.970020 | − | 0.218218i | ||||
\(877\) | 43.7528 | − | 8.43267i | 1.47743 | − | 0.284751i | 0.614033 | − | 0.789280i | \(-0.289546\pi\) |
0.863395 | + | 0.504529i | \(0.168334\pi\) | |||||||
\(878\) | −24.4777 | − | 9.36357i | −0.826083 | − | 0.316005i | ||||
\(879\) | −0.851508 | + | 5.92237i | −0.0287207 | + | 0.199757i | ||||
\(880\) | 22.2040 | + | 6.17959i | 0.748496 | + | 0.208314i | ||||
\(881\) | 10.1202 | − | 41.7161i | 0.340959 | − | 1.40545i | −0.500783 | − | 0.865573i | \(-0.666955\pi\) |
0.841742 | − | 0.539880i | \(-0.181530\pi\) | |||||||
\(882\) | 13.1984 | + | 7.35079i | 0.444414 | + | 0.247514i | ||||
\(883\) | 6.81935 | − | 5.36280i | 0.229489 | − | 0.180472i | −0.496793 | − | 0.867869i | \(-0.665489\pi\) |
0.726282 | + | 0.687397i | \(0.241247\pi\) | |||||||
\(884\) | 17.1807 | − | 10.6397i | 0.577850 | − | 0.357853i | ||||
\(885\) | 1.11570 | + | 2.44305i | 0.0375039 | + | 0.0821221i | ||||
\(886\) | 40.1664 | − | 10.4034i | 1.34942 | − | 0.349511i | ||||
\(887\) | −33.8630 | + | 11.7201i | −1.13701 | + | 0.393523i | −0.829768 | − | 0.558109i | \(-0.811527\pi\) |
−0.307242 | + | 0.951631i | \(0.599406\pi\) | |||||||
\(888\) | 7.79077 | − | 22.4170i | 0.261441 | − | 0.752265i | ||||
\(889\) | 5.53139 | − | 57.9273i | 0.185517 | − | 1.94282i | ||||
\(890\) | 17.8323 | + | 4.93830i | 0.597740 | + | 0.165532i | ||||
\(891\) | 1.20567 | + | 4.96985i | 0.0403915 | + | 0.166496i | ||||
\(892\) | −5.51727 | − | 8.02872i | −0.184732 | − | 0.268821i | ||||
\(893\) | −29.1204 | + | 8.55051i | −0.974476 | + | 0.286132i | ||||
\(894\) | −10.6749 | + | 5.07568i | −0.357022 | + | 0.169756i | ||||
\(895\) | 12.8634 | + | 5.87450i | 0.429974 | + | 0.196363i | ||||
\(896\) | −41.5039 | − | 23.2549i | −1.38655 | − | 0.776891i | ||||
\(897\) | −7.68266 | + | 0.733605i | −0.256517 | + | 0.0244944i | ||||
\(898\) | 18.1715 | + | 43.4344i | 0.606390 | + | 1.44942i | ||||
\(899\) | 10.5189 | + | 8.27217i | 0.350826 | + | 0.275892i | ||||
\(900\) | 0.833304 | − | 7.41439i | 0.0277768 | − | 0.247146i | ||||
\(901\) | −23.7933 | − | 13.7371i | −0.792671 | − | 0.457649i | ||||
\(902\) | 1.58039 | + | 25.0366i | 0.0526213 | + | 0.833628i | ||||
\(903\) | 10.9853 | + | 10.4744i | 0.365567 | + | 0.348567i | ||||
\(904\) | −4.46578 | + | 0.636245i | −0.148530 | + | 0.0211612i | ||||
\(905\) | 1.17001 | − | 2.26949i | 0.0388923 | − | 0.0754405i | ||||
\(906\) | −13.3479 | + | 7.14427i | −0.443453 | + | 0.237353i | ||||
\(907\) | 9.18830 | + | 22.9513i | 0.305093 | + | 0.762085i | 0.999112 | + | 0.0421284i | \(0.0134139\pi\) |
−0.694020 | + | 0.719956i | \(0.744162\pi\) | |||||||
\(908\) | 16.6886 | + | 38.2216i | 0.553832 | + | 1.26843i | ||||
\(909\) | −0.904380 | + | 0.522144i | −0.0299964 | + | 0.0173184i | ||||
\(910\) | 16.2423 | + | 24.4356i | 0.538427 | + | 0.810032i | ||||
\(911\) | 10.7161 | − | 9.28559i | 0.355042 | − | 0.307645i | −0.459018 | − | 0.888427i | \(-0.651798\pi\) |
0.814059 | + | 0.580782i | \(0.197253\pi\) | |||||||
\(912\) | −22.8167 | + | 9.51144i | −0.755538 | + | 0.314955i | ||||
\(913\) | −88.2308 | + | 12.6857i | −2.92001 | + | 0.419834i | ||||
\(914\) | 1.34208 | − | 1.45177i | 0.0443921 | − | 0.0480202i | ||||
\(915\) | 2.39073 | − | 2.27955i | 0.0790350 | − | 0.0753598i | ||||
\(916\) | −14.4047 | + | 39.4717i | −0.475946 | + | 1.30418i | ||||
\(917\) | 23.9423 | + | 8.28650i | 0.790644 | + | 0.273644i | ||||
\(918\) | −0.259993 | + | 3.25277i | −0.00858103 | + | 0.107357i | ||||
\(919\) | −1.74435 | − | 36.6183i | −0.0575407 | − | 1.20793i | −0.824361 | − | 0.566065i | \(-0.808465\pi\) |
0.766820 | − | 0.641862i | \(-0.221838\pi\) | |||||||
\(920\) | −2.80195 | − | 4.86751i | −0.0923776 | − | 0.160477i | ||||
\(921\) | 1.89051 | − | 1.34622i | 0.0622943 | − | 0.0443596i | ||||
\(922\) | 0.243315 | + | 15.7579i | 0.00801316 | + | 0.518958i | ||||
\(923\) | −39.2085 | + | 25.1978i | −1.29056 | + | 0.829394i | ||||
\(924\) | −8.84455 | + | 42.0901i | −0.290964 | + | 1.38466i | ||||
\(925\) | 29.0593 | + | 11.6336i | 0.955463 | + | 0.382510i | ||||
\(926\) | −31.1250 | + | 11.3135i | −1.02283 | + | 0.371785i | ||||
\(927\) | −2.64678 | + | 13.7328i | −0.0869317 | + | 0.451045i | ||||
\(928\) | 23.1624 | + | 6.06263i | 0.760344 | + | 0.199016i | ||||
\(929\) | 10.1368 | − | 15.7732i | 0.332578 | − | 0.517502i | −0.634183 | − | 0.773183i | \(-0.718663\pi\) |
0.966761 | + | 0.255681i | \(0.0822997\pi\) | |||||||
\(930\) | 4.51293 | + | 2.23907i | 0.147985 | + | 0.0734220i | ||||
\(931\) | 65.9428 | + | 3.14124i | 2.16119 | + | 0.102950i | ||||
\(932\) | −0.217260 | + | 0.455424i | −0.00711659 | + | 0.0149179i | ||||
\(933\) | −9.04237 | + | 10.4355i | −0.296034 | + | 0.341641i | ||||
\(934\) | 13.4174 | + | 18.2394i | 0.439031 | + | 0.596812i | ||||
\(935\) | 3.74566 | − | 12.7566i | 0.122496 | − | 0.417184i | ||||
\(936\) | 5.68964 | − | 11.0017i | 0.185972 | − | 0.359603i | ||||
\(937\) | 20.6210i | 0.673660i | 0.941565 | + | 0.336830i | \(0.109355\pi\) | ||||
−0.941565 | + | 0.336830i | \(0.890645\pi\) | |||||||
\(938\) | 10.8985 | − | 47.4413i | 0.355849 | − | 1.54901i | ||||
\(939\) | 8.98182i | 0.293111i | ||||||||
\(940\) | 10.9260 | + | 1.75785i | 0.356366 | + | 0.0573347i | ||||
\(941\) | 10.1535 | − | 34.5797i | 0.330995 | − | 1.12727i | −0.610997 | − | 0.791633i | \(-0.709231\pi\) |
0.941993 | − | 0.335634i | \(-0.108950\pi\) | |||||||
\(942\) | −17.2893 | + | 12.7185i | −0.563316 | + | 0.414390i | ||||
\(943\) | 4.00325 | − | 4.62000i | 0.130364 | − | 0.150448i | ||||
\(944\) | 8.41224 | − | 4.48869i | 0.273795 | − | 0.146095i | ||||
\(945\) | −4.73249 | − | 0.225436i | −0.153948 | − | 0.00733345i | ||||
\(946\) | −11.6027 | + | 23.3856i | −0.377235 | + | 0.760331i | ||||
\(947\) | 6.11000 | − | 9.50734i | 0.198548 | − | 0.308947i | −0.727675 | − | 0.685922i | \(-0.759399\pi\) |
0.926224 | + | 0.376975i | \(0.123036\pi\) | |||||||
\(948\) | −23.0427 | + | 19.3016i | −0.748393 | + | 0.626888i | ||||
\(949\) | −12.1939 | + | 63.2681i | −0.395832 | + | 2.05377i | ||||
\(950\) | −11.1382 | − | 30.6426i | −0.361370 | − | 0.994177i | ||||
\(951\) | −17.5180 | − | 7.01316i | −0.568061 | − | 0.227417i | ||||
\(952\) | −13.7521 | + | 23.7491i | −0.445709 | + | 0.769712i | ||||
\(953\) | 31.4037 | − | 20.1819i | 1.01727 | − | 0.653757i | 0.0780022 | − | 0.996953i | \(-0.475146\pi\) |
0.939264 | + | 0.343196i | \(0.111510\pi\) | |||||||
\(954\) | −16.8371 | + | 0.259979i | −0.545121 | + | 0.00841714i | ||||
\(955\) | 16.2484 | − | 11.5704i | 0.525786 | − | 0.374411i | ||||
\(956\) | −42.9343 | − | 38.4783i | −1.38860 | − | 1.24448i | ||||
\(957\) | −1.02992 | − | 21.6206i | −0.0332924 | − | 0.698894i | ||||
\(958\) | 20.9736 | + | 1.67641i | 0.677625 | + | 0.0541624i | ||||
\(959\) | 48.7581 | + | 16.8753i | 1.57448 | + | 0.544933i | ||||
\(960\) | 9.00230 | + | 0.451951i | 0.290548 | + | 0.0145866i | ||||
\(961\) | −15.2011 | + | 14.4942i | −0.490357 | + | 0.467554i | ||||
\(962\) | 38.1562 | + | 35.2733i | 1.23020 | + | 1.13726i | ||||
\(963\) | 3.91284 | − | 0.562581i | 0.126089 | − | 0.0181289i | ||||
\(964\) | −14.5837 | − | 8.74823i | −0.469709 | − | 0.281761i | ||||
\(965\) | 9.15045 | − | 7.92891i | 0.294564 | − | 0.255241i | ||||
\(966\) | 8.72834 | − | 5.80171i | 0.280830 | − | 0.186667i | ||||
\(967\) | −37.4363 | + | 21.6138i | −1.20387 | + | 0.695054i | −0.961413 | − | 0.275108i | \(-0.911286\pi\) |
−0.242456 | + | 0.970162i | \(0.577953\pi\) | |||||||
\(968\) | −42.6703 | + | 4.01937i | −1.37148 | + | 0.129187i | ||||
\(969\) | 5.29975 | + | 13.2381i | 0.170252 | + | 0.425270i | ||||
\(970\) | −13.7649 | − | 25.7174i | −0.441965 | − | 0.825736i | ||||
\(971\) | 1.53836 | − | 2.98400i | 0.0493682 | − | 0.0957610i | −0.862861 | − | 0.505442i | \(-0.831330\pi\) |
0.912229 | + | 0.409681i | \(0.134360\pi\) | |||||||
\(972\) | 0.886603 | + | 1.79275i | 0.0284378 | + | 0.0575023i | ||||
\(973\) | 2.72734 | + | 2.60052i | 0.0874346 | + | 0.0833687i | ||||
\(974\) | 20.6971 | − | 1.30647i | 0.663177 | − | 0.0418618i | ||||
\(975\) | 14.1476 | + | 8.16815i | 0.453087 | + | 0.261590i | ||||
\(976\) | −8.60124 | − | 7.97185i | −0.275319 | − | 0.255173i | ||||
\(977\) | −5.72280 | − | 4.50046i | −0.183089 | − | 0.143983i | 0.522408 | − | 0.852696i | \(-0.325034\pi\) |
−0.705497 | + | 0.708713i | \(0.749276\pi\) | |||||||
\(978\) | 17.5164 | − | 7.32829i | 0.560114 | − | 0.234333i | ||||
\(979\) | −59.1177 | + | 5.64506i | −1.88941 | + | 0.180417i | ||||
\(980\) | −21.2087 | − | 11.3867i | −0.677487 | − | 0.363734i | ||||
\(981\) | 8.71671 | + | 3.98079i | 0.278303 | + | 0.127097i | ||||
\(982\) | −7.17208 | − | 15.0839i | −0.228870 | − | 0.481347i | ||||
\(983\) | −49.2470 | + | 14.4602i | −1.57074 | + | 0.461210i | −0.947216 | − | 0.320597i | \(-0.896116\pi\) |
−0.623521 | + | 0.781807i | \(0.714298\pi\) | |||||||
\(984\) | 2.75199 | + | 9.41701i | 0.0877301 | + | 0.300203i | ||||
\(985\) | 2.65947 | + | 10.9625i | 0.0847378 | + | 0.349294i | ||||
\(986\) | 3.68603 | − | 13.3103i | 0.117387 | − | 0.423887i | ||||
\(987\) | −1.96300 | + | 20.5575i | −0.0624831 | + | 0.654352i | ||||
\(988\) | 0.904961 | − | 54.1174i | 0.0287906 | − | 1.72171i | ||||
\(989\) | 6.01163 | − | 2.08064i | 0.191159 | − | 0.0661606i | ||||
\(990\) | −2.04315 | − | 7.88835i | −0.0649356 | − | 0.250708i | ||||
\(991\) | −2.92208 | − | 6.39846i | −0.0928229 | − | 0.203254i | 0.857526 | − | 0.514441i | \(-0.172001\pi\) |
−0.950349 | + | 0.311187i | \(0.899273\pi\) | |||||||
\(992\) | 6.94509 | − | 16.4818i | 0.220507 | − | 0.523297i | ||||
\(993\) | 23.4640 | − | 18.4523i | 0.744608 | − | 0.585566i | ||||
\(994\) | 30.7966 | − | 55.2957i | 0.976810 | − | 1.75387i | ||||
\(995\) | −0.303842 | + | 1.25245i | −0.00963242 | + | 0.0397054i | ||||
\(996\) | −32.5754 | + | 12.4134i | −1.03219 | + | 0.393333i | ||||
\(997\) | −6.01486 | + | 41.8343i | −0.190493 | + | 1.32491i | 0.640215 | + | 0.768196i | \(0.278845\pi\) |
−0.830707 | + | 0.556709i | \(0.812064\pi\) | |||||||
\(998\) | 4.61629 | − | 12.0677i | 0.146126 | − | 0.381995i | ||||
\(999\) | −8.23897 | + | 1.58793i | −0.260670 | + | 0.0502399i |
(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 | 804.2.bf.b.7.3 | yes | 680 | |
4.3 | odd | 2 | 804.2.bf.a.7.26 | ✓ | 680 | ||
67.48 | odd | 66 | 804.2.bf.a.115.26 | yes | 680 | ||
268.115 | even | 66 | inner | 804.2.bf.b.115.3 | yes | 680 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.bf.a.7.26 | ✓ | 680 | 4.3 | odd | 2 | ||
804.2.bf.a.115.26 | yes | 680 | 67.48 | odd | 66 | ||
804.2.bf.b.7.3 | yes | 680 | 1.1 | even | 1 | trivial | |
804.2.bf.b.115.3 | yes | 680 | 268.115 | even | 66 | inner |