Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(22,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 24]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.ba (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 22.10 | ||
Character | \(\chi\) | \(=\) | 441.22 |
Dual form | 441.2.ba.a.421.10 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{7}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.58020 | − | 1.07736i | −1.11737 | − | 0.761810i | −0.143666 | − | 0.989626i | \(-0.545889\pi\) |
−0.973704 | + | 0.227816i | \(0.926841\pi\) | |||||||
\(3\) | −0.0140747 | − | 1.73199i | −0.00812606 | − | 0.999967i | ||||
\(4\) | 0.605641 | + | 1.54315i | 0.302820 | + | 0.771574i | ||||
\(5\) | −3.06138 | − | 2.84054i | −1.36909 | − | 1.27033i | −0.927857 | − | 0.372937i | \(-0.878351\pi\) |
−0.441233 | − | 0.897392i | \(-0.645459\pi\) | |||||||
\(6\) | −1.84374 | + | 2.75206i | −0.752705 | + | 1.12352i | ||||
\(7\) | −1.13241 | − | 2.39116i | −0.428012 | − | 0.903773i | ||||
\(8\) | −0.145657 | + | 0.638167i | −0.0514977 | + | 0.225626i | ||||
\(9\) | −2.99960 | + | 0.0487547i | −0.999868 | + | 0.0162516i | ||||
\(10\) | 1.77730 | + | 7.78684i | 0.562030 | + | 2.46241i | ||||
\(11\) | −0.381633 | − | 0.260193i | −0.115067 | − | 0.0784511i | 0.504419 | − | 0.863459i | \(-0.331707\pi\) |
−0.619486 | + | 0.785008i | \(0.712659\pi\) | |||||||
\(12\) | 2.66420 | − | 1.07069i | 0.769088 | − | 0.309080i | ||||
\(13\) | 0.114922 | − | 1.53353i | 0.0318737 | − | 0.425325i | −0.958327 | − | 0.285673i | \(-0.907783\pi\) |
0.990201 | − | 0.139652i | \(-0.0445982\pi\) | |||||||
\(14\) | −0.786705 | + | 4.99853i | −0.210256 | + | 1.33591i | ||||
\(15\) | −4.87672 | + | 5.34227i | −1.25916 | + | 1.37937i | ||||
\(16\) | 3.34812 | − | 3.10661i | 0.837031 | − | 0.776651i | ||||
\(17\) | −0.524289 | − | 0.657438i | −0.127159 | − | 0.159452i | 0.714176 | − | 0.699966i | \(-0.246801\pi\) |
−0.841335 | + | 0.540514i | \(0.818230\pi\) | |||||||
\(18\) | 4.79250 | + | 3.15462i | 1.12960 | + | 0.743550i | ||||
\(19\) | 6.76087 | 1.55105 | 0.775525 | − | 0.631317i | \(-0.217485\pi\) | ||||
0.775525 | + | 0.631317i | \(0.217485\pi\) | |||||||
\(20\) | 2.52928 | − | 6.44451i | 0.565565 | − | 1.44104i | ||||
\(21\) | −4.12553 | + | 1.99499i | −0.900265 | + | 0.435342i | ||||
\(22\) | 0.322734 | + | 0.822313i | 0.0688071 | + | 0.175318i | ||||
\(23\) | −2.31349 | − | 5.89467i | −0.482396 | − | 1.22912i | −0.940368 | − | 0.340158i | \(-0.889519\pi\) |
0.457973 | − | 0.888966i | \(-0.348576\pi\) | |||||||
\(24\) | 1.10735 | + | 0.243296i | 0.226037 | + | 0.0496625i | ||||
\(25\) | 0.929696 | + | 12.4059i | 0.185939 | + | 2.48119i | ||||
\(26\) | −1.83377 | + | 2.29947i | −0.359632 | + | 0.450964i | ||||
\(27\) | 0.126662 | + | 5.19461i | 0.0243760 | + | 0.999703i | ||||
\(28\) | 3.00408 | − | 3.19566i | 0.567717 | − | 0.603924i | ||||
\(29\) | 3.16983 | − | 8.07659i | 0.588622 | − | 1.49979i | −0.257220 | − | 0.966353i | \(-0.582807\pi\) |
0.845843 | − | 0.533433i | \(-0.179098\pi\) | |||||||
\(30\) | 13.4617 | − | 3.18786i | 2.45777 | − | 0.582021i | ||||
\(31\) | 0.346921 | − | 0.600885i | 0.0623088 | − | 0.107922i | −0.833188 | − | 0.552989i | \(-0.813487\pi\) |
0.895497 | + | 0.445067i | \(0.146820\pi\) | |||||||
\(32\) | −7.34311 | + | 1.10680i | −1.29809 | + | 0.195656i | ||||
\(33\) | −0.445281 | + | 0.664647i | −0.0775134 | + | 0.115700i | ||||
\(34\) | 0.120183 | + | 1.60373i | 0.0206112 | + | 0.275038i | ||||
\(35\) | −3.32545 | + | 10.5369i | −0.562103 | + | 1.78106i | ||||
\(36\) | −1.89192 | − | 4.59930i | −0.315320 | − | 0.766551i | ||||
\(37\) | −4.82704 | − | 6.05292i | −0.793560 | − | 0.995093i | −0.999862 | − | 0.0166049i | \(-0.994714\pi\) |
0.206302 | − | 0.978488i | \(-0.433857\pi\) | |||||||
\(38\) | −10.6835 | − | 7.28391i | −1.73310 | − | 1.18161i | ||||
\(39\) | −2.65768 | − | 0.177461i | −0.425570 | − | 0.0284164i | ||||
\(40\) | 2.25865 | − | 1.53992i | 0.357124 | − | 0.243483i | ||||
\(41\) | 5.07124 | + | 4.70542i | 0.791995 | + | 0.734864i | 0.968386 | − | 0.249456i | \(-0.0802519\pi\) |
−0.176391 | + | 0.984320i | \(0.556442\pi\) | |||||||
\(42\) | 8.66849 | + | 1.29221i | 1.33758 | + | 0.199393i | ||||
\(43\) | −0.437221 | + | 0.405681i | −0.0666755 | + | 0.0618658i | −0.712807 | − | 0.701360i | \(-0.752576\pi\) |
0.646131 | + | 0.763226i | \(0.276386\pi\) | |||||||
\(44\) | 0.170383 | − | 0.746499i | 0.0256863 | − | 0.112539i | ||||
\(45\) | 9.32141 | + | 8.37125i | 1.38955 | + | 1.24791i | ||||
\(46\) | −2.69492 | + | 11.8072i | −0.397345 | + | 1.74088i | ||||
\(47\) | 6.24134 | + | 4.25527i | 0.910393 | + | 0.620695i | 0.925318 | − | 0.379193i | \(-0.123798\pi\) |
−0.0149246 | + | 0.999889i | \(0.504751\pi\) | |||||||
\(48\) | −5.42774 | − | 5.75521i | −0.783427 | − | 0.830692i | ||||
\(49\) | −4.43528 | + | 5.41556i | −0.633612 | + | 0.773651i | ||||
\(50\) | 11.8966 | − | 20.6055i | 1.68243 | − | 2.91405i | ||||
\(51\) | −1.13130 | + | 0.917319i | −0.158414 | + | 0.128450i | ||||
\(52\) | 2.43607 | − | 0.751427i | 0.337822 | − | 0.104204i | ||||
\(53\) | −0.900687 | + | 1.12943i | −0.123719 | + | 0.155139i | −0.839833 | − | 0.542844i | \(-0.817347\pi\) |
0.716115 | + | 0.697983i | \(0.245919\pi\) | |||||||
\(54\) | 5.39632 | − | 8.34498i | 0.734347 | − | 1.13561i | ||||
\(55\) | 0.429233 | + | 1.88059i | 0.0578778 | + | 0.253579i | ||||
\(56\) | 1.69090 | − | 0.374378i | 0.225956 | − | 0.0500284i | ||||
\(57\) | −0.0951576 | − | 11.7098i | −0.0126039 | − | 1.55100i | ||||
\(58\) | −13.7104 | + | 9.34758i | −1.80026 | + | 1.22740i | ||||
\(59\) | 9.77180 | + | 3.01420i | 1.27218 | + | 0.392415i | 0.856051 | − | 0.516891i | \(-0.172911\pi\) |
0.416128 | + | 0.909306i | \(0.363387\pi\) | |||||||
\(60\) | −11.1974 | − | 4.29000i | −1.44558 | − | 0.553836i | ||||
\(61\) | −1.46152 | + | 3.72388i | −0.187128 | + | 0.476794i | −0.993393 | − | 0.114760i | \(-0.963390\pi\) |
0.806265 | + | 0.591554i | \(0.201485\pi\) | |||||||
\(62\) | −1.19557 | + | 0.575758i | −0.151838 | + | 0.0731214i | ||||
\(63\) | 3.51337 | + | 7.11732i | 0.442643 | + | 0.896698i | ||||
\(64\) | 4.56587 | + | 2.19881i | 0.570734 | + | 0.274851i | ||||
\(65\) | −4.70788 | + | 4.36828i | −0.583941 | + | 0.541818i | ||||
\(66\) | 1.41970 | − | 0.570547i | 0.174753 | − | 0.0702295i | ||||
\(67\) | −0.520629 | + | 0.901755i | −0.0636049 | + | 0.110167i | −0.896074 | − | 0.443904i | \(-0.853593\pi\) |
0.832469 | + | 0.554071i | \(0.186926\pi\) | |||||||
\(68\) | 0.696993 | − | 1.20723i | 0.0845228 | − | 0.146398i | ||||
\(69\) | −10.1770 | + | 4.08991i | −1.22516 | + | 0.492368i | ||||
\(70\) | 16.6069 | − | 13.0677i | 1.98491 | − | 1.56189i | ||||
\(71\) | −9.17003 | + | 11.4989i | −1.08828 | + | 1.36466i | −0.162455 | + | 0.986716i | \(0.551941\pi\) |
−0.925827 | + | 0.377947i | \(0.876630\pi\) | |||||||
\(72\) | 0.405801 | − | 1.92135i | 0.0478241 | − | 0.226433i | ||||
\(73\) | −3.32562 | − | 1.60154i | −0.389235 | − | 0.187446i | 0.229023 | − | 0.973421i | \(-0.426447\pi\) |
−0.618258 | + | 0.785975i | \(0.712161\pi\) | |||||||
\(74\) | 1.10651 | + | 14.7653i | 0.128629 | + | 1.71643i | ||||
\(75\) | 21.4739 | − | 1.78484i | 2.47959 | − | 0.206095i | ||||
\(76\) | 4.09466 | + | 10.4330i | 0.469690 | + | 1.19675i | ||||
\(77\) | −0.189996 | + | 1.20719i | −0.0216521 | + | 0.137572i | ||||
\(78\) | 4.00848 | + | 3.14371i | 0.453871 | + | 0.355955i | ||||
\(79\) | −4.37904 | − | 7.58473i | −0.492681 | − | 0.853348i | 0.507284 | − | 0.861779i | \(-0.330650\pi\) |
−0.999964 | + | 0.00843089i | \(0.997316\pi\) | |||||||
\(80\) | −19.0743 | −2.13257 | ||||||||
\(81\) | 8.99525 | − | 0.292490i | 0.999472 | − | 0.0324989i | ||||
\(82\) | −2.94413 | − | 12.8991i | −0.325125 | − | 1.42446i | ||||
\(83\) | −0.494476 | − | 6.59832i | −0.0542758 | − | 0.724260i | −0.956265 | − | 0.292502i | \(-0.905512\pi\) |
0.901989 | − | 0.431759i | \(-0.142107\pi\) | |||||||
\(84\) | −5.57715 | − | 5.15806i | −0.608517 | − | 0.562791i | ||||
\(85\) | −0.262434 | + | 3.50193i | −0.0284649 | + | 0.379838i | ||||
\(86\) | 1.12796 | − | 0.170013i | 0.121631 | − | 0.0183330i | ||||
\(87\) | −14.0332 | − | 5.37645i | −1.50452 | − | 0.576416i | ||||
\(88\) | 0.221634 | − | 0.205646i | 0.0236263 | − | 0.0219220i | ||||
\(89\) | −1.71174 | − | 0.824330i | −0.181444 | − | 0.0873788i | 0.340957 | − | 0.940079i | \(-0.389249\pi\) |
−0.522400 | + | 0.852700i | \(0.674963\pi\) | |||||||
\(90\) | −5.71083 | − | 23.2708i | −0.601974 | − | 2.45296i | ||||
\(91\) | −3.79706 | + | 1.46179i | −0.398040 | + | 0.153238i | ||||
\(92\) | 7.69521 | − | 7.14011i | 0.802281 | − | 0.744408i | ||||
\(93\) | −1.04561 | − | 0.592407i | −0.108425 | − | 0.0614298i | ||||
\(94\) | −5.27809 | − | 13.4484i | −0.544394 | − | 1.38709i | ||||
\(95\) | −20.6976 | − | 19.2046i | −2.12353 | − | 1.97035i | ||||
\(96\) | 2.02032 | + | 12.7026i | 0.206198 | + | 1.29646i | ||||
\(97\) | −0.483431 | − | 0.837328i | −0.0490850 | − | 0.0850178i | 0.840439 | − | 0.541906i | \(-0.182297\pi\) |
−0.889524 | + | 0.456888i | \(0.848964\pi\) | |||||||
\(98\) | 12.8431 | − | 3.77926i | 1.29735 | − | 0.381763i | ||||
\(99\) | 1.15743 | + | 0.761869i | 0.116326 | + | 0.0765707i | ||||
\(100\) | −18.5811 | + | 8.94820i | −1.85811 | + | 0.894820i | ||||
\(101\) | 1.53838 | − | 0.474528i | 0.153075 | − | 0.0472173i | −0.217271 | − | 0.976111i | \(-0.569715\pi\) |
0.370346 | + | 0.928894i | \(0.379239\pi\) | |||||||
\(102\) | 2.77596 | − | 0.230729i | 0.274861 | − | 0.0228455i | ||||
\(103\) | −5.49555 | − | 5.09913i | −0.541493 | − | 0.502432i | 0.361334 | − | 0.932436i | \(-0.382321\pi\) |
−0.902827 | + | 0.430005i | \(0.858512\pi\) | |||||||
\(104\) | 0.961909 | + | 0.296710i | 0.0943229 | + | 0.0290948i | ||||
\(105\) | 18.2967 | + | 5.61135i | 1.78557 | + | 0.547611i | ||||
\(106\) | 2.64007 | − | 0.814353i | 0.256426 | − | 0.0790969i | ||||
\(107\) | −10.4596 | − | 5.03708i | −1.01117 | − | 0.486953i | −0.146454 | − | 0.989217i | \(-0.546786\pi\) |
−0.864714 | + | 0.502264i | \(0.832500\pi\) | |||||||
\(108\) | −7.93934 | + | 3.34152i | −0.763963 | + | 0.321538i | ||||
\(109\) | 2.74939 | − | 1.32403i | 0.263343 | − | 0.126819i | −0.297554 | − | 0.954705i | \(-0.596171\pi\) |
0.560897 | + | 0.827886i | \(0.310456\pi\) | |||||||
\(110\) | 1.34781 | − | 3.43415i | 0.128508 | − | 0.327433i | ||||
\(111\) | −10.4157 | + | 8.44560i | −0.988612 | + | 0.801620i | ||||
\(112\) | −11.2198 | − | 4.48794i | −1.06018 | − | 0.424070i | ||||
\(113\) | −10.1495 | + | 6.91982i | −0.954786 | + | 0.650962i | −0.937167 | − | 0.348882i | \(-0.886561\pi\) |
−0.0176199 | + | 0.999845i | \(0.505609\pi\) | |||||||
\(114\) | −12.4653 | + | 18.6063i | −1.16748 | + | 1.74264i | ||||
\(115\) | −9.66161 | + | 24.6174i | −0.900950 | + | 2.29558i | ||||
\(116\) | 14.3831 | 1.33544 | ||||||||
\(117\) | −0.269954 | + | 4.60559i | −0.0249573 | + | 0.425787i | ||||
\(118\) | −12.1940 | − | 15.2908i | −1.12255 | − | 1.40763i | ||||
\(119\) | −0.978326 | + | 1.99815i | −0.0896830 | + | 0.183170i | ||||
\(120\) | −2.69893 | − | 3.89030i | −0.246377 | − | 0.355134i | ||||
\(121\) | −3.94081 | − | 10.0410i | −0.358255 | − | 0.912820i | ||||
\(122\) | 6.32145 | − | 4.30989i | 0.572317 | − | 0.390199i | ||||
\(123\) | 8.07839 | − | 8.84958i | 0.728404 | − | 0.797940i | ||||
\(124\) | 1.13736 | + | 0.171430i | 0.102138 | + | 0.0153949i | ||||
\(125\) | 19.3743 | − | 24.2946i | 1.73289 | − | 2.17298i | ||||
\(126\) | 2.11610 | − | 15.0320i | 0.188517 | − | 1.33915i | ||||
\(127\) | 5.55534 | + | 6.96618i | 0.492957 | + | 0.618148i | 0.964624 | − | 0.263628i | \(-0.0849192\pi\) |
−0.471667 | + | 0.881777i | \(0.656348\pi\) | |||||||
\(128\) | 2.57997 | + | 4.46865i | 0.228040 | + | 0.394976i | ||||
\(129\) | 0.708791 | + | 0.751553i | 0.0624056 | + | 0.0661706i | ||||
\(130\) | 12.1456 | − | 1.83066i | 1.06524 | − | 0.160559i | ||||
\(131\) | −8.94644 | − | 2.75961i | −0.781654 | − | 0.241108i | −0.121852 | − | 0.992548i | \(-0.538883\pi\) |
−0.659802 | + | 0.751440i | \(0.729360\pi\) | |||||||
\(132\) | −1.29533 | − | 0.284596i | −0.112744 | − | 0.0247709i | ||||
\(133\) | −7.65610 | − | 16.1663i | −0.663868 | − | 1.40180i | ||||
\(134\) | 1.79421 | − | 0.864048i | 0.154997 | − | 0.0746424i | ||||
\(135\) | 14.3678 | − | 16.2624i | 1.23658 | − | 1.39965i | ||||
\(136\) | 0.495921 | − | 0.238823i | 0.0425249 | − | 0.0204789i | ||||
\(137\) | 15.5196 | − | 14.4001i | 1.32593 | − | 1.23029i | 0.372735 | − | 0.927938i | \(-0.378420\pi\) |
0.953198 | − | 0.302348i | \(-0.0977704\pi\) | |||||||
\(138\) | 20.4880 | + | 4.50140i | 1.74405 | + | 0.383185i | ||||
\(139\) | −0.618809 | − | 0.574170i | −0.0524867 | − | 0.0487005i | 0.653493 | − | 0.756932i | \(-0.273303\pi\) |
−0.705980 | + | 0.708232i | \(0.749493\pi\) | |||||||
\(140\) | −18.2740 | + | 1.24993i | −1.54444 | + | 0.105638i | ||||
\(141\) | 7.28226 | − | 10.8699i | 0.613277 | − | 0.915407i | ||||
\(142\) | 26.8789 | − | 8.29105i | 2.25563 | − | 0.695769i | ||||
\(143\) | −0.442872 | + | 0.555344i | −0.0370348 | + | 0.0464402i | ||||
\(144\) | −9.89158 | + | 9.48182i | −0.824299 | + | 0.790152i | ||||
\(145\) | −32.6460 | + | 15.7215i | −2.71110 | + | 1.30560i | ||||
\(146\) | 3.52972 | + | 6.11365i | 0.292121 | + | 0.505969i | ||||
\(147\) | 9.44214 | + | 7.60566i | 0.778775 | + | 0.627304i | ||||
\(148\) | 6.41709 | − | 11.1147i | 0.527482 | − | 0.913625i | ||||
\(149\) | −0.671356 | + | 8.95863i | −0.0549997 | + | 0.733919i | 0.899730 | + | 0.436446i | \(0.143763\pi\) |
−0.954730 | + | 0.297473i | \(0.903856\pi\) | |||||||
\(150\) | −35.8560 | − | 20.3148i | −2.92763 | − | 1.65869i | ||||
\(151\) | 1.61806 | + | 0.243883i | 0.131676 | + | 0.0198470i | 0.214550 | − | 0.976713i | \(-0.431172\pi\) |
−0.0828736 | + | 0.996560i | \(0.526410\pi\) | |||||||
\(152\) | −0.984771 | + | 4.31456i | −0.0798754 | + | 0.349957i | ||||
\(153\) | 1.60471 | + | 1.94649i | 0.129733 | + | 0.157365i | ||||
\(154\) | 1.60081 | − | 1.70291i | 0.128997 | − | 0.137224i | ||||
\(155\) | −2.76889 | + | 0.854091i | −0.222403 | + | 0.0686022i | ||||
\(156\) | −1.33575 | − | 4.20868i | −0.106946 | − | 0.336964i | ||||
\(157\) | −10.3680 | − | 3.19812i | −0.827460 | − | 0.255238i | −0.148035 | − | 0.988982i | \(-0.547295\pi\) |
−0.679425 | + | 0.733745i | \(0.737771\pi\) | |||||||
\(158\) | −1.25173 | + | 16.7032i | −0.0995824 | + | 1.32884i | ||||
\(159\) | 1.96884 | + | 1.54409i | 0.156139 | + | 0.122454i | ||||
\(160\) | 25.6239 | + | 17.4701i | 2.02575 | + | 1.38113i | ||||
\(161\) | −11.4753 | + | 12.2071i | −0.904378 | + | 0.962056i | ||||
\(162\) | −14.5294 | − | 9.22894i | −1.14154 | − | 0.725094i | ||||
\(163\) | 0.612668 | + | 2.68427i | 0.0479879 | + | 0.210249i | 0.993238 | − | 0.116099i | \(-0.0370391\pi\) |
−0.945250 | + | 0.326348i | \(0.894182\pi\) | |||||||
\(164\) | −4.18981 | + | 10.6755i | −0.327169 | + | 0.833614i | ||||
\(165\) | 3.25113 | − | 0.769898i | 0.253100 | − | 0.0599364i | ||||
\(166\) | −6.32741 | + | 10.9594i | −0.491103 | + | 0.850615i | ||||
\(167\) | 7.09757 | − | 1.06979i | 0.549227 | − | 0.0827826i | 0.131434 | − | 0.991325i | \(-0.458042\pi\) |
0.417793 | + | 0.908542i | \(0.362804\pi\) | |||||||
\(168\) | −0.672220 | − | 2.92336i | −0.0518629 | − | 0.225542i | ||||
\(169\) | 10.5163 | + | 1.58508i | 0.808945 | + | 0.121929i | ||||
\(170\) | 4.18755 | − | 5.25102i | 0.321170 | − | 0.402735i | ||||
\(171\) | −20.2799 | + | 0.329625i | −1.55085 | + | 0.0252070i | ||||
\(172\) | −0.890825 | − | 0.428999i | −0.0679247 | − | 0.0327108i | ||||
\(173\) | 8.79164 | + | 1.32513i | 0.668416 | + | 0.100748i | 0.474480 | − | 0.880267i | \(-0.342636\pi\) |
0.193937 | + | 0.981014i | \(0.437874\pi\) | |||||||
\(174\) | 16.3829 | + | 23.6147i | 1.24199 | + | 1.79023i | ||||
\(175\) | 28.6118 | − | 16.2717i | 2.16285 | − | 1.23002i | ||||
\(176\) | −2.08607 | + | 0.314424i | −0.157243 | + | 0.0237006i | ||||
\(177\) | 5.08304 | − | 16.9671i | 0.382065 | − | 1.27533i | ||||
\(178\) | 1.81679 | + | 3.14677i | 0.136174 | + | 0.235860i | ||||
\(179\) | 3.18650 | + | 3.99575i | 0.238170 | + | 0.298656i | 0.886524 | − | 0.462683i | \(-0.153113\pi\) |
−0.648353 | + | 0.761340i | \(0.724542\pi\) | |||||||
\(180\) | −7.27264 | + | 19.4543i | −0.542071 | + | 1.45004i | ||||
\(181\) | 3.70982 | + | 1.78655i | 0.275749 | + | 0.132794i | 0.566648 | − | 0.823960i | \(-0.308240\pi\) |
−0.290899 | + | 0.956754i | \(0.593954\pi\) | |||||||
\(182\) | 7.57499 | + | 1.78088i | 0.561496 | + | 0.132007i | ||||
\(183\) | 6.47031 | + | 2.47892i | 0.478299 | + | 0.183247i | ||||
\(184\) | 4.09876 | − | 0.617789i | 0.302165 | − | 0.0455440i | ||||
\(185\) | −2.41618 | + | 32.2417i | −0.177641 | + | 2.37046i | ||||
\(186\) | 1.01404 | + | 2.06262i | 0.0743528 | + | 0.151239i | ||||
\(187\) | 0.0290253 | + | 0.387316i | 0.00212254 | + | 0.0283233i | ||||
\(188\) | −2.78650 | + | 12.2085i | −0.203227 | + | 0.890394i | ||||
\(189\) | 12.2777 | − | 6.18531i | 0.893071 | − | 0.449915i | ||||
\(190\) | 12.0161 | + | 52.6458i | 0.871737 | + | 3.81933i | ||||
\(191\) | −25.2114 | + | 7.77668i | −1.82423 | + | 0.562701i | −0.999994 | − | 0.00354219i | \(-0.998872\pi\) |
−0.824238 | + | 0.566243i | \(0.808396\pi\) | |||||||
\(192\) | 3.74406 | − | 7.93901i | 0.270204 | − | 0.572949i | ||||
\(193\) | 6.71940 | + | 6.23469i | 0.483673 | + | 0.448783i | 0.883929 | − | 0.467620i | \(-0.154889\pi\) |
−0.400257 | + | 0.916403i | \(0.631079\pi\) | |||||||
\(194\) | −0.138187 | + | 1.84398i | −0.00992124 | + | 0.132390i | ||||
\(195\) | 7.63209 | + | 8.09254i | 0.546545 | + | 0.579519i | ||||
\(196\) | −11.0432 | − | 3.56441i | −0.788800 | − | 0.254601i | ||||
\(197\) | 23.0081 | 1.63926 | 0.819628 | − | 0.572896i | \(-0.194180\pi\) | ||||
0.819628 | + | 0.572896i | \(0.194180\pi\) | |||||||
\(198\) | −1.00817 | − | 2.45088i | −0.0716472 | − | 0.174176i | ||||
\(199\) | 4.32603 | − | 18.9536i | 0.306664 | − | 1.34358i | −0.553194 | − | 0.833052i | \(-0.686591\pi\) |
0.859859 | − | 0.510532i | \(-0.170551\pi\) | |||||||
\(200\) | −8.05247 | − | 1.21371i | −0.569396 | − | 0.0858226i | ||||
\(201\) | 1.56916 | + | 0.889034i | 0.110680 | + | 0.0627076i | ||||
\(202\) | −2.94219 | − | 0.907545i | −0.207012 | − | 0.0638546i | ||||
\(203\) | −22.9020 | + | 1.56647i | −1.60740 | + | 0.109945i | ||||
\(204\) | −2.10072 | − | 1.19020i | −0.147080 | − | 0.0833303i | ||||
\(205\) | −2.15902 | − | 28.8102i | −0.150793 | − | 2.01219i | ||||
\(206\) | 3.19046 | + | 13.9783i | 0.222290 | + | 0.973917i | ||||
\(207\) | 7.22694 | + | 17.5689i | 0.502307 | + | 1.22112i | ||||
\(208\) | −4.37930 | − | 5.49147i | −0.303650 | − | 0.380765i | ||||
\(209\) | −2.58017 | − | 1.75913i | −0.178474 | − | 0.121682i | ||||
\(210\) | −22.8669 | − | 28.5792i | −1.57797 | − | 1.97215i | ||||
\(211\) | −6.82109 | + | 4.65054i | −0.469583 | + | 0.320156i | −0.774888 | − | 0.632098i | \(-0.782194\pi\) |
0.305305 | + | 0.952255i | \(0.401242\pi\) | |||||||
\(212\) | −2.28836 | − | 0.705867i | −0.157165 | − | 0.0484791i | ||||
\(213\) | 20.0450 | + | 15.7206i | 1.37346 | + | 1.07716i | ||||
\(214\) | 11.1015 | + | 19.2284i | 0.758884 | + | 1.31442i | ||||
\(215\) | 2.49085 | 0.169875 | ||||||||
\(216\) | −3.33347 | − | 0.675802i | −0.226814 | − | 0.0459825i | ||||
\(217\) | −1.82967 | − | 0.149093i | −0.124206 | − | 0.0101211i | ||||
\(218\) | −5.77104 | − | 0.869845i | −0.390864 | − | 0.0589133i | ||||
\(219\) | −2.72704 | + | 5.78250i | −0.184276 | + | 0.390745i | ||||
\(220\) | −2.64207 | + | 1.80133i | −0.178128 | + | 0.121446i | ||||
\(221\) | −1.06845 | + | 0.728460i | −0.0718720 | + | 0.0490015i | ||||
\(222\) | 25.5578 | − | 2.12428i | 1.71533 | − | 0.142572i | ||||
\(223\) | −15.1744 | − | 2.28717i | −1.01615 | − | 0.153161i | −0.380214 | − | 0.924899i | \(-0.624149\pi\) |
−0.635940 | + | 0.771738i | \(0.719388\pi\) | |||||||
\(224\) | 10.9620 | + | 16.3052i | 0.732427 | + | 1.08944i | ||||
\(225\) | −3.39357 | − | 37.1676i | −0.226238 | − | 2.47784i | ||||
\(226\) | 23.4934 | 1.56276 | ||||||||
\(227\) | 2.83460 | + | 4.90968i | 0.188139 | + | 0.325867i | 0.944630 | − | 0.328138i | \(-0.106421\pi\) |
−0.756491 | + | 0.654005i | \(0.773088\pi\) | |||||||
\(228\) | 18.0123 | − | 7.23877i | 1.19289 | − | 0.479399i | ||||
\(229\) | 23.3200 | + | 7.19326i | 1.54103 | + | 0.475344i | 0.944849 | − | 0.327507i | \(-0.106208\pi\) |
0.596179 | + | 0.802851i | \(0.296685\pi\) | |||||||
\(230\) | 41.7891 | − | 28.4913i | 2.75549 | − | 1.87866i | ||||
\(231\) | 2.09352 | + | 0.312082i | 0.137743 | + | 0.0205335i | ||||
\(232\) | 4.69250 | + | 3.19929i | 0.308078 | + | 0.210044i | ||||
\(233\) | 8.62865 | + | 10.8200i | 0.565282 | + | 0.708841i | 0.979524 | − | 0.201326i | \(-0.0645250\pi\) |
−0.414243 | + | 0.910166i | \(0.635954\pi\) | |||||||
\(234\) | 5.38847 | − | 6.98691i | 0.352255 | − | 0.456749i | ||||
\(235\) | −7.01981 | − | 30.7558i | −0.457922 | − | 2.00629i | ||||
\(236\) | 1.26684 | + | 16.9048i | 0.0824644 | + | 1.10041i | ||||
\(237\) | −13.0751 | + | 7.69123i | −0.849317 | + | 0.499599i | ||||
\(238\) | 3.69868 | − | 2.10346i | 0.239750 | − | 0.136347i | ||||
\(239\) | −9.88477 | − | 3.04905i | −0.639393 | − | 0.197227i | −0.0419266 | − | 0.999121i | \(-0.513350\pi\) |
−0.597466 | + | 0.801894i | \(0.703826\pi\) | |||||||
\(240\) | 0.268466 | + | 33.0366i | 0.0173294 | + | 2.13250i | ||||
\(241\) | −22.5509 | − | 3.39900i | −1.45263 | − | 0.218949i | −0.625176 | − | 0.780484i | \(-0.714973\pi\) |
−0.827453 | + | 0.561535i | \(0.810211\pi\) | |||||||
\(242\) | −4.59054 | + | 20.1125i | −0.295091 | + | 1.29288i | ||||
\(243\) | −0.633196 | − | 15.5756i | −0.0406196 | − | 0.999175i | ||||
\(244\) | −6.63165 | −0.424548 | ||||||||
\(245\) | 28.9612 | − | 3.98047i | 1.85026 | − | 0.254303i | ||||
\(246\) | −22.2997 | + | 5.28076i | −1.42178 | + | 0.336689i | ||||
\(247\) | 0.776975 | − | 10.3680i | 0.0494377 | − | 0.659701i | ||||
\(248\) | 0.332933 | + | 0.308917i | 0.0211413 | + | 0.0196162i | ||||
\(249\) | −11.4213 | + | 0.949299i | −0.723795 | + | 0.0601594i | ||||
\(250\) | −56.7894 | + | 17.5172i | −3.59168 | + | 1.10789i | ||||
\(251\) | −1.78640 | − | 7.82675i | −0.112757 | − | 0.494020i | −0.999496 | − | 0.0317496i | \(-0.989892\pi\) |
0.886739 | − | 0.462270i | \(-0.152965\pi\) | |||||||
\(252\) | −8.85523 | + | 9.73219i | −0.557827 | + | 0.613070i | ||||
\(253\) | −0.650848 | + | 2.85155i | −0.0409185 | + | 0.179276i | ||||
\(254\) | −1.27345 | − | 16.9931i | −0.0799037 | − | 1.06624i | ||||
\(255\) | 6.06902 | + | 0.405244i | 0.380057 | + | 0.0253774i | ||||
\(256\) | 1.49490 | − | 19.9481i | 0.0934312 | − | 1.24675i | ||||
\(257\) | 24.6371 | − | 3.71344i | 1.53682 | − | 0.231638i | 0.674603 | − | 0.738181i | \(-0.264315\pi\) |
0.862215 | + | 0.506543i | \(0.169077\pi\) | |||||||
\(258\) | −0.310337 | − | 1.95123i | −0.0193207 | − | 0.121478i | ||||
\(259\) | −9.00728 | + | 18.3966i | −0.559685 | + | 1.14311i | ||||
\(260\) | −9.59218 | − | 4.61935i | −0.594882 | − | 0.286480i | ||||
\(261\) | −9.11446 | + | 24.3811i | −0.564171 | + | 1.50915i | ||||
\(262\) | 11.1641 | + | 13.9993i | 0.689718 | + | 0.864879i | ||||
\(263\) | −7.17538 | − | 12.4281i | −0.442453 | − | 0.766350i | 0.555418 | − | 0.831571i | \(-0.312558\pi\) |
−0.997871 | + | 0.0652208i | \(0.979225\pi\) | |||||||
\(264\) | −0.359297 | − | 0.380974i | −0.0221132 | − | 0.0234473i | ||||
\(265\) | 5.96553 | − | 0.899159i | 0.366459 | − | 0.0552349i | ||||
\(266\) | −5.31881 | + | 33.7944i | −0.326117 | + | 2.07207i | ||||
\(267\) | −1.40364 | + | 2.97632i | −0.0859015 | + | 0.182148i | ||||
\(268\) | −1.70686 | − | 0.257267i | −0.104263 | − | 0.0157151i | ||||
\(269\) | 14.2438 | + | 6.85945i | 0.868459 | + | 0.418228i | 0.814396 | − | 0.580310i | \(-0.197068\pi\) |
0.0540632 | + | 0.998538i | \(0.482783\pi\) | |||||||
\(270\) | −40.2245 | + | 10.2186i | −2.44798 | + | 0.621887i | ||||
\(271\) | 0.149218 | − | 0.187114i | 0.00906437 | − | 0.0113664i | −0.777279 | − | 0.629157i | \(-0.783400\pi\) |
0.786343 | + | 0.617790i | \(0.211972\pi\) | |||||||
\(272\) | −3.79779 | − | 0.572424i | −0.230275 | − | 0.0347083i | ||||
\(273\) | 2.58526 | + | 6.55590i | 0.156467 | + | 0.396781i | ||||
\(274\) | −40.0383 | + | 6.03480i | −2.41880 | + | 0.364576i | ||||
\(275\) | 2.87313 | − | 4.97641i | 0.173256 | − | 0.300089i | ||||
\(276\) | −12.4749 | − | 13.2276i | −0.750903 | − | 0.796205i | ||||
\(277\) | −4.71954 | + | 12.0252i | −0.283570 | + | 0.722524i | 0.716129 | + | 0.697968i | \(0.245912\pi\) |
−0.999698 | + | 0.0245556i | \(0.992183\pi\) | |||||||
\(278\) | 0.359252 | + | 1.57398i | 0.0215465 | + | 0.0944013i | ||||
\(279\) | −1.01133 | + | 1.81933i | −0.0605467 | + | 0.108920i | ||||
\(280\) | −6.23993 | − | 3.65697i | −0.372907 | − | 0.218546i | ||||
\(281\) | −12.5918 | − | 8.58493i | −0.751162 | − | 0.512134i | 0.126175 | − | 0.992008i | \(-0.459730\pi\) |
−0.877337 | + | 0.479874i | \(0.840682\pi\) | |||||||
\(282\) | −23.2182 | + | 9.33091i | −1.38262 | + | 0.555647i | ||||
\(283\) | 0.443700 | − | 5.92076i | 0.0263752 | − | 0.351953i | −0.968366 | − | 0.249534i | \(-0.919723\pi\) |
0.994741 | − | 0.102419i | \(-0.0326583\pi\) | |||||||
\(284\) | −23.2982 | − | 7.18653i | −1.38249 | − | 0.426442i | ||||
\(285\) | −32.9708 | + | 36.1184i | −1.95302 | + | 2.13947i | ||||
\(286\) | 1.29813 | − | 0.400421i | 0.0767602 | − | 0.0236774i | ||||
\(287\) | 5.50868 | − | 17.4546i | 0.325167 | − | 1.03031i | ||||
\(288\) | 21.9725 | − | 3.67796i | 1.29474 | − | 0.216726i | ||||
\(289\) | 3.62551 | − | 15.8844i | 0.213265 | − | 0.934376i | ||||
\(290\) | 68.5248 | + | 10.3285i | 4.02392 | + | 0.606508i | ||||
\(291\) | −1.44344 | + | 0.849085i | −0.0846161 | + | 0.0497743i | ||||
\(292\) | 0.457273 | − | 6.10188i | 0.0267599 | − | 0.357086i | ||||
\(293\) | −2.90709 | + | 5.03522i | −0.169834 | + | 0.294161i | −0.938361 | − | 0.345656i | \(-0.887656\pi\) |
0.768527 | + | 0.639817i | \(0.220990\pi\) | |||||||
\(294\) | −6.72642 | − | 22.1911i | −0.392293 | − | 1.29421i | ||||
\(295\) | −21.3532 | − | 36.9848i | −1.24323 | − | 2.15334i | ||||
\(296\) | 4.56586 | − | 2.19880i | 0.265385 | − | 0.127803i | ||||
\(297\) | 1.30326 | − | 2.01539i | 0.0756229 | − | 0.116945i | ||||
\(298\) | 10.7126 | − | 13.4331i | 0.620562 | − | 0.778160i | ||||
\(299\) | −9.30554 | + | 2.87038i | −0.538153 | + | 0.165998i | ||||
\(300\) | 15.7597 | + | 32.0564i | 0.909889 | + | 1.85078i | ||||
\(301\) | 1.46516 | + | 0.586065i | 0.0844506 | + | 0.0337802i | ||||
\(302\) | −2.29411 | − | 2.12862i | −0.132011 | − | 0.122488i | ||||
\(303\) | −0.843532 | − | 2.65779i | −0.0484596 | − | 0.152686i | ||||
\(304\) | 22.6362 | − | 21.0034i | 1.29828 | − | 1.20463i | ||||
\(305\) | 15.0521 | − | 7.24871i | 0.861880 | − | 0.415060i | ||||
\(306\) | −0.438691 | − | 4.80470i | −0.0250783 | − | 0.274667i | ||||
\(307\) | 3.35617 | − | 1.61625i | 0.191547 | − | 0.0922440i | −0.335652 | − | 0.941986i | \(-0.608957\pi\) |
0.527199 | + | 0.849742i | \(0.323242\pi\) | |||||||
\(308\) | −1.97794 | + | 0.437931i | −0.112704 | + | 0.0249534i | ||||
\(309\) | −8.75431 | + | 9.59003i | −0.498015 | + | 0.545558i | ||||
\(310\) | 5.29557 | + | 1.63347i | 0.300768 | + | 0.0927747i | ||||
\(311\) | 15.5617 | − | 2.34555i | 0.882423 | − | 0.133004i | 0.307828 | − | 0.951442i | \(-0.400398\pi\) |
0.574595 | + | 0.818438i | \(0.305160\pi\) | |||||||
\(312\) | 0.500361 | − | 1.67020i | 0.0283273 | − | 0.0945563i | ||||
\(313\) | 3.03445 | + | 5.25583i | 0.171517 | + | 0.297077i | 0.938951 | − | 0.344052i | \(-0.111800\pi\) |
−0.767433 | + | 0.641129i | \(0.778466\pi\) | |||||||
\(314\) | 12.9380 | + | 16.2238i | 0.730136 | + | 0.915562i | ||||
\(315\) | 9.46130 | − | 31.7687i | 0.533084 | − | 1.78996i | ||||
\(316\) | 9.05222 | − | 11.3511i | 0.509227 | − | 0.638551i | ||||
\(317\) | 12.1343 | + | 1.82895i | 0.681531 | + | 0.102724i | 0.480678 | − | 0.876897i | \(-0.340391\pi\) |
0.200853 | + | 0.979621i | \(0.435629\pi\) | |||||||
\(318\) | −1.44761 | − | 4.56112i | −0.0811780 | − | 0.255775i | ||||
\(319\) | −3.31118 | + | 2.25752i | −0.185391 | + | 0.126397i | ||||
\(320\) | −7.73205 | − | 19.7009i | −0.432235 | − | 1.10132i | ||||
\(321\) | −8.57698 | + | 18.1869i | −0.478720 | + | 1.01509i | ||||
\(322\) | 31.2847 | − | 6.92667i | 1.74343 | − | 0.386008i | ||||
\(323\) | −3.54465 | − | 4.44485i | −0.197230 | − | 0.247318i | ||||
\(324\) | 5.89924 | + | 13.7038i | 0.327736 | + | 0.761325i | ||||
\(325\) | 19.1317 | 1.06124 | ||||||||
\(326\) | 1.92380 | − | 4.90175i | 0.106549 | − | 0.271483i | ||||
\(327\) | −2.33192 | − | 4.74328i | −0.128955 | − | 0.262304i | ||||
\(328\) | −3.74151 | + | 2.55092i | −0.206590 | + | 0.140851i | ||||
\(329\) | 3.10726 | − | 19.7428i | 0.171309 | − | 1.08845i | ||||
\(330\) | −5.96690 | − | 2.28606i | −0.328467 | − | 0.125843i | ||||
\(331\) | −8.12088 | + | 20.6917i | −0.446364 | + | 1.13732i | 0.513808 | + | 0.857905i | \(0.328235\pi\) |
−0.960172 | + | 0.279411i | \(0.909861\pi\) | |||||||
\(332\) | 9.88271 | − | 4.75926i | 0.542384 | − | 0.261199i | ||||
\(333\) | 14.7743 | + | 17.9210i | 0.809627 | + | 0.982065i | ||||
\(334\) | −12.3681 | − | 5.95618i | −0.676754 | − | 0.325908i | ||||
\(335\) | 4.15532 | − | 1.28175i | 0.227029 | − | 0.0700292i | ||||
\(336\) | −7.61516 | + | 19.4959i | −0.415441 | + | 1.06359i | ||||
\(337\) | −31.6786 | − | 9.77156i | −1.72564 | − | 0.532291i | −0.736145 | − | 0.676824i | \(-0.763356\pi\) |
−0.989500 | + | 0.144533i | \(0.953832\pi\) | |||||||
\(338\) | −14.9101 | − | 13.8346i | −0.811005 | − | 0.752502i | ||||
\(339\) | 12.1279 | + | 17.4815i | 0.658700 | + | 0.949465i | ||||
\(340\) | −5.56294 | + | 1.71594i | −0.301693 | + | 0.0930599i | ||||
\(341\) | −0.288742 | + | 0.139051i | −0.0156363 | + | 0.00753003i | ||||
\(342\) | 32.4015 | + | 21.3280i | 1.75207 | + | 1.15328i | ||||
\(343\) | 17.9720 | + | 4.47281i | 0.970399 | + | 0.241509i | ||||
\(344\) | −0.195208 | − | 0.338110i | −0.0105249 | − | 0.0182297i | ||||
\(345\) | 42.7731 | + | 16.3874i | 2.30283 | + | 0.882266i | ||||
\(346\) | −12.4649 | − | 11.5657i | −0.670118 | − | 0.621778i | ||||
\(347\) | −10.0881 | − | 25.7040i | −0.541557 | − | 1.37986i | −0.895694 | − | 0.444670i | \(-0.853321\pi\) |
0.354138 | − | 0.935193i | \(-0.384774\pi\) | |||||||
\(348\) | −0.202439 | − | 24.9115i | −0.0108519 | − | 1.33540i | ||||
\(349\) | 10.8356 | − | 10.0539i | 0.580014 | − | 0.538174i | −0.334675 | − | 0.942334i | \(-0.608626\pi\) |
0.914689 | + | 0.404159i | \(0.132436\pi\) | |||||||
\(350\) | −62.7428 | − | 5.11269i | −3.35374 | − | 0.273285i | ||||
\(351\) | 7.98065 | + | 0.402737i | 0.425976 | + | 0.0214965i | ||||
\(352\) | 3.09035 | + | 1.48823i | 0.164716 | + | 0.0793232i | ||||
\(353\) | 9.82827 | − | 9.11930i | 0.523106 | − | 0.485372i | −0.373851 | − | 0.927489i | \(-0.621963\pi\) |
0.896957 | + | 0.442117i | \(0.145772\pi\) | |||||||
\(354\) | −26.3119 | + | 21.3352i | −1.39846 | + | 1.13395i | ||||
\(355\) | 60.7359 | − | 9.15447i | 3.22353 | − | 0.485869i | ||||
\(356\) | 0.235364 | − | 3.14071i | 0.0124743 | − | 0.166457i | ||||
\(357\) | 3.47455 | + | 1.66633i | 0.183893 | + | 0.0881916i | ||||
\(358\) | −0.730444 | − | 9.74710i | −0.0386052 | − | 0.515150i | ||||
\(359\) | 1.49295 | + | 6.54102i | 0.0787947 | + | 0.345222i | 0.998923 | − | 0.0463945i | \(-0.0147731\pi\) |
−0.920129 | + | 0.391617i | \(0.871916\pi\) | |||||||
\(360\) | −6.69998 | + | 4.72928i | −0.353120 | + | 0.249255i | ||||
\(361\) | 26.7094 | 1.40576 | ||||||||
\(362\) | −3.93749 | − | 6.81993i | −0.206950 | − | 0.358448i | ||||
\(363\) | −17.3355 | + | 6.96678i | −0.909878 | + | 0.365661i | ||||
\(364\) | −4.55541 | − | 4.97410i | −0.238769 | − | 0.260713i | ||||
\(365\) | 5.63176 | + | 14.3495i | 0.294780 | + | 0.751086i | ||||
\(366\) | −7.55368 | − | 10.8881i | −0.394837 | − | 0.569128i | ||||
\(367\) | −0.554072 | − | 7.39358i | −0.0289223 | − | 0.385942i | −0.992816 | − | 0.119653i | \(-0.961822\pi\) |
0.963893 | − | 0.266288i | \(-0.0857973\pi\) | |||||||
\(368\) | −26.0583 | − | 12.5490i | −1.35838 | − | 0.654162i | ||||
\(369\) | −15.4411 | − | 13.8672i | −0.803833 | − | 0.721895i | ||||
\(370\) | 38.5540 | − | 48.3452i | 2.00433 | − | 2.51335i | ||||
\(371\) | 3.72059 | + | 0.874709i | 0.193163 | + | 0.0454126i | ||||
\(372\) | 0.280907 | − | 1.97232i | 0.0145644 | − | 0.102260i | ||||
\(373\) | −13.5389 | + | 23.4501i | −0.701018 | + | 1.21420i | 0.267091 | + | 0.963671i | \(0.413938\pi\) |
−0.968109 | + | 0.250528i | \(0.919396\pi\) | |||||||
\(374\) | 0.371414 | − | 0.643307i | 0.0192053 | − | 0.0332646i | ||||
\(375\) | −42.3509 | − | 33.2143i | −2.18699 | − | 1.71518i | ||||
\(376\) | −3.62467 | + | 3.36320i | −0.186928 | + | 0.173444i | ||||
\(377\) | −12.0214 | − | 5.78921i | −0.619135 | − | 0.298160i | ||||
\(378\) | −26.0650 | − | 3.45350i | −1.34064 | − | 0.177629i | ||||
\(379\) | −19.4067 | + | 9.34579i | −0.996857 | + | 0.480061i | −0.859871 | − | 0.510512i | \(-0.829456\pi\) |
−0.136986 | + | 0.990573i | \(0.543742\pi\) | |||||||
\(380\) | 17.1002 | − | 43.5705i | 0.877219 | − | 2.23512i | ||||
\(381\) | 11.9872 | − | 9.71987i | 0.614122 | − | 0.497964i | ||||
\(382\) | 48.2173 | + | 14.8731i | 2.46701 | + | 0.760973i | ||||
\(383\) | −29.9850 | + | 20.4435i | −1.53216 | + | 1.04461i | −0.555070 | + | 0.831804i | \(0.687309\pi\) |
−0.977094 | + | 0.212808i | \(0.931739\pi\) | |||||||
\(384\) | 7.70335 | − | 4.53139i | 0.393110 | − | 0.231242i | ||||
\(385\) | 4.01073 | − | 3.15597i | 0.204406 | − | 0.160843i | ||||
\(386\) | −3.90097 | − | 17.0913i | −0.198554 | − | 0.869923i | ||||
\(387\) | 1.29171 | − | 1.23820i | 0.0656613 | − | 0.0629412i | ||||
\(388\) | 0.999335 | − | 1.25313i | 0.0507335 | − | 0.0636178i | ||||
\(389\) | −15.2520 | + | 4.70460i | −0.773305 | + | 0.238533i | −0.656200 | − | 0.754587i | \(-0.727837\pi\) |
−0.117104 | + | 0.993120i | \(0.537361\pi\) | |||||||
\(390\) | −3.34163 | − | 21.0104i | −0.169210 | − | 1.06390i | ||||
\(391\) | −2.66244 | + | 4.61149i | −0.134646 | + | 0.233213i | ||||
\(392\) | −2.81000 | − | 3.61926i | −0.141926 | − | 0.182800i | ||||
\(393\) | −4.65371 | + | 15.5340i | −0.234749 | + | 0.783587i | ||||
\(394\) | −36.3573 | − | 24.7880i | −1.83166 | − | 1.24880i | ||||
\(395\) | −8.13884 | + | 35.6586i | −0.409509 | + | 1.79418i | ||||
\(396\) | −0.474688 | + | 2.24751i | −0.0238539 | + | 0.112942i | ||||
\(397\) | −1.33002 | + | 5.82720i | −0.0667519 | + | 0.292459i | −0.997275 | − | 0.0737742i | \(-0.976496\pi\) |
0.930523 | + | 0.366233i | \(0.119353\pi\) | |||||||
\(398\) | −27.2559 | + | 25.2898i | −1.36621 | + | 1.26766i | ||||
\(399\) | −27.8922 | + | 13.4879i | −1.39636 | + | 0.675237i | ||||
\(400\) | 41.6531 | + | 38.6484i | 2.08265 | + | 1.93242i | ||||
\(401\) | 20.8315 | − | 14.2027i | 1.04028 | − | 0.709249i | 0.0824504 | − | 0.996595i | \(-0.473725\pi\) |
0.957827 | + | 0.287346i | \(0.0927730\pi\) | |||||||
\(402\) | −1.52178 | − | 3.09541i | −0.0758994 | − | 0.154385i | ||||
\(403\) | −0.881606 | − | 0.601069i | −0.0439159 | − | 0.0299414i | ||||
\(404\) | 1.66397 | + | 2.08656i | 0.0827858 | + | 0.103810i | ||||
\(405\) | −28.3687 | − | 24.6560i | −1.40965 | − | 1.22516i | ||||
\(406\) | 37.8774 | + | 22.1984i | 1.87982 | + | 1.10169i | ||||
\(407\) | 0.267231 | + | 3.56595i | 0.0132462 | + | 0.176758i | ||||
\(408\) | −0.420620 | − | 0.855571i | −0.0208238 | − | 0.0423571i | ||||
\(409\) | 2.51529 | − | 0.379119i | 0.124373 | − | 0.0187462i | −0.0865607 | − | 0.996247i | \(-0.527588\pi\) |
0.210934 | + | 0.977500i | \(0.432350\pi\) | |||||||
\(410\) | −27.6273 | + | 47.8519i | −1.36441 | + | 2.36323i | ||||
\(411\) | −25.1594 | − | 26.6772i | −1.24102 | − | 1.31589i | ||||
\(412\) | 4.54037 | − | 11.5687i | 0.223688 | − | 0.569948i | ||||
\(413\) | −3.85828 | − | 26.7792i | −0.189854 | − | 1.31772i | ||||
\(414\) | 7.50804 | − | 35.5484i | 0.369000 | − | 1.74711i | ||||
\(415\) | −17.2290 | + | 21.6045i | −0.845741 | + | 1.06053i | ||||
\(416\) | 0.853419 | + | 11.3881i | 0.0418423 | + | 0.558347i | ||||
\(417\) | −0.985750 | + | 1.07985i | −0.0482724 | + | 0.0528807i | ||||
\(418\) | 2.18196 | + | 5.55955i | 0.106723 | + | 0.271927i | ||||
\(419\) | 7.73920 | + | 19.7192i | 0.378085 | + | 0.963344i | 0.985609 | + | 0.169043i | \(0.0540675\pi\) |
−0.607524 | + | 0.794301i | \(0.707837\pi\) | |||||||
\(420\) | 2.42207 | + | 31.6329i | 0.118185 | + | 1.54353i | ||||
\(421\) | −11.4509 | + | 29.1763i | −0.558081 | + | 1.42197i | 0.321816 | + | 0.946802i | \(0.395707\pi\) |
−0.879897 | + | 0.475164i | \(0.842389\pi\) | |||||||
\(422\) | 15.7890 | 0.768596 | ||||||||
\(423\) | −18.9290 | − | 12.4598i | −0.920360 | − | 0.605818i | ||||
\(424\) | −0.589570 | − | 0.739298i | −0.0286321 | − | 0.0359035i | ||||
\(425\) | 7.66870 | − | 7.11552i | 0.371987 | − | 0.345153i | ||||
\(426\) | −14.7384 | − | 46.4374i | −0.714076 | − | 2.24990i | ||||
\(427\) | 10.5594 | − | 0.722256i | 0.511006 | − | 0.0349524i | ||||
\(428\) | 1.43819 | − | 19.1914i | 0.0695178 | − | 0.927650i | ||||
\(429\) | 0.968085 | + | 0.759235i | 0.0467396 | + | 0.0366562i | ||||
\(430\) | −3.93605 | − | 2.68355i | −0.189813 | − | 0.129412i | ||||
\(431\) | −5.90048 | − | 25.8517i | −0.284216 | − | 1.24523i | −0.892330 | − | 0.451383i | \(-0.850931\pi\) |
0.608114 | − | 0.793849i | \(-0.291926\pi\) | |||||||
\(432\) | 16.5617 | + | 16.9987i | 0.796824 | + | 0.817851i | ||||
\(433\) | 3.76692 | − | 16.5040i | 0.181027 | − | 0.793130i | −0.800116 | − | 0.599845i | \(-0.795229\pi\) |
0.981143 | − | 0.193285i | \(-0.0619141\pi\) | |||||||
\(434\) | 2.73061 | + | 2.20681i | 0.131074 | + | 0.105930i | ||||
\(435\) | 27.6890 | + | 56.3213i | 1.32758 | + | 2.70040i | ||||
\(436\) | 3.70832 | + | 3.44082i | 0.177596 | + | 0.164785i | ||||
\(437\) | −15.6412 | − | 39.8531i | −0.748220 | − | 1.90643i | ||||
\(438\) | 10.5391 | − | 6.19949i | 0.503578 | − | 0.296223i | ||||
\(439\) | −17.9290 | − | 12.2238i | −0.855706 | − | 0.583410i | 0.0540574 | − | 0.998538i | \(-0.482785\pi\) |
−0.909763 | + | 0.415127i | \(0.863737\pi\) | |||||||
\(440\) | −1.26265 | −0.0601946 | ||||||||
\(441\) | 13.0401 | − | 16.4608i | 0.620955 | − | 0.783846i | ||||
\(442\) | 2.47319 | 0.117637 | ||||||||
\(443\) | −16.4275 | − | 11.2001i | −0.780493 | − | 0.532131i | 0.106280 | − | 0.994336i | \(-0.466106\pi\) |
−0.886773 | + | 0.462205i | \(0.847058\pi\) | |||||||
\(444\) | −19.3410 | − | 10.9579i | −0.917881 | − | 0.520040i | ||||
\(445\) | 2.89873 | + | 7.38585i | 0.137413 | + | 0.350123i | ||||
\(446\) | 21.5145 | + | 19.9625i | 1.01874 | + | 0.945253i | ||||
\(447\) | 15.5257 | + | 1.03669i | 0.734342 | + | 0.0490340i | ||||
\(448\) | 0.0872458 | − | 13.4077i | 0.00412198 | − | 0.633454i | ||||
\(449\) | −0.691043 | + | 3.02766i | −0.0326123 | + | 0.142884i | −0.988613 | − | 0.150481i | \(-0.951918\pi\) |
0.956001 | + | 0.293365i | \(0.0947750\pi\) | |||||||
\(450\) | −34.6804 | + | 62.3883i | −1.63485 | + | 2.94101i | ||||
\(451\) | −0.711034 | − | 3.11524i | −0.0334813 | − | 0.146691i | ||||
\(452\) | −16.8253 | − | 11.4713i | −0.791394 | − | 0.539563i | ||||
\(453\) | 0.399631 | − | 2.80590i | 0.0187763 | − | 0.131833i | ||||
\(454\) | 0.810260 | − | 10.8122i | 0.0380274 | − | 0.507440i | ||||
\(455\) | 15.7765 | + | 6.31060i | 0.739614 | + | 0.295846i | ||||
\(456\) | 7.48665 | + | 1.64489i | 0.350595 | + | 0.0770290i | ||||
\(457\) | 17.2891 | − | 16.0419i | 0.808750 | − | 0.750411i | −0.162948 | − | 0.986635i | \(-0.552100\pi\) |
0.971699 | + | 0.236224i | \(0.0759099\pi\) | |||||||
\(458\) | −29.1005 | − | 36.4909i | −1.35978 | − | 1.70511i | ||||
\(459\) | 3.34872 | − | 2.80675i | 0.156305 | − | 0.131008i | ||||
\(460\) | −43.8397 | −2.04404 | ||||||||
\(461\) | −2.22206 | + | 5.66173i | −0.103492 | + | 0.263693i | −0.973235 | − | 0.229811i | \(-0.926189\pi\) |
0.869743 | + | 0.493504i | \(0.164284\pi\) | |||||||
\(462\) | −2.97195 | − | 2.74863i | −0.138268 | − | 0.127878i | ||||
\(463\) | −9.07732 | − | 23.1286i | −0.421859 | − | 1.07488i | −0.970985 | − | 0.239140i | \(-0.923135\pi\) |
0.549126 | − | 0.835740i | \(-0.314961\pi\) | |||||||
\(464\) | −14.4778 | − | 36.8888i | −0.672115 | − | 1.71252i | ||||
\(465\) | 1.51825 | + | 4.78369i | 0.0704072 | + | 0.221838i | ||||
\(466\) | −1.97795 | − | 26.3939i | −0.0916268 | − | 1.22267i | ||||
\(467\) | 6.76472 | − | 8.48269i | 0.313034 | − | 0.392532i | −0.600279 | − | 0.799791i | \(-0.704944\pi\) |
0.913313 | + | 0.407259i | \(0.133515\pi\) | |||||||
\(468\) | −7.27060 | + | 2.37275i | −0.336084 | + | 0.109681i | ||||
\(469\) | 2.74581 | + | 0.223746i | 0.126790 | + | 0.0103316i | ||||
\(470\) | −22.0424 | + | 56.1632i | −1.01674 | + | 2.59061i | ||||
\(471\) | −5.39319 | + | 18.0024i | −0.248505 | + | 0.829507i | ||||
\(472\) | −3.34690 | + | 5.79699i | −0.154053 | + | 0.266828i | ||||
\(473\) | 0.272413 | − | 0.0410597i | 0.0125256 | − | 0.00188792i | ||||
\(474\) | 28.9474 | + | 1.93290i | 1.32960 | + | 0.0887809i | ||||
\(475\) | 6.28556 | + | 83.8749i | 0.288401 | + | 3.84845i | ||||
\(476\) | −3.67595 | − | 0.299541i | −0.168487 | − | 0.0137294i | ||||
\(477\) | 2.64664 | − | 3.43174i | 0.121181 | − | 0.157129i | ||||
\(478\) | 12.3350 | + | 15.4676i | 0.564189 | + | 0.707471i | ||||
\(479\) | −5.81391 | − | 3.96386i | −0.265644 | − | 0.181113i | 0.423171 | − | 0.906050i | \(-0.360917\pi\) |
−0.688816 | + | 0.724936i | \(0.741869\pi\) | |||||||
\(480\) | 29.8975 | − | 44.6264i | 1.36463 | − | 2.03691i | ||||
\(481\) | −9.83707 | + | 6.70680i | −0.448532 | + | 0.305804i | ||||
\(482\) | 31.9729 | + | 29.6665i | 1.45633 | + | 1.35127i | ||||
\(483\) | 21.3042 | + | 19.7033i | 0.969373 | + | 0.896531i | ||||
\(484\) | 13.1081 | − | 12.1625i | 0.595821 | − | 0.552841i | ||||
\(485\) | −0.898500 | + | 3.93659i | −0.0407988 | + | 0.178751i | ||||
\(486\) | −15.7800 | + | 25.2947i | −0.715794 | + | 1.14739i | ||||
\(487\) | 4.64775 | − | 20.3631i | 0.210610 | − | 0.922742i | −0.753544 | − | 0.657398i | \(-0.771657\pi\) |
0.964154 | − | 0.265344i | \(-0.0854856\pi\) | |||||||
\(488\) | −2.16358 | − | 1.47510i | −0.0979404 | − | 0.0667747i | ||||
\(489\) | 4.64052 | − | 1.09892i | 0.209852 | − | 0.0496948i | ||||
\(490\) | −50.0529 | − | 24.9118i | −2.26116 | − | 1.12540i | ||||
\(491\) | −8.73426 | + | 15.1282i | −0.394172 | + | 0.682725i | −0.992995 | − | 0.118156i | \(-0.962302\pi\) |
0.598824 | + | 0.800881i | \(0.295635\pi\) | |||||||
\(492\) | 18.5488 | + | 7.10647i | 0.836245 | + | 0.320385i | ||||
\(493\) | −6.97176 | + | 2.15050i | −0.313992 | + | 0.0968538i | ||||
\(494\) | −12.3979 | + | 15.5464i | −0.557807 | + | 0.699467i | ||||
\(495\) | −1.37922 | − | 5.62011i | −0.0619912 | − | 0.252605i | ||||
\(496\) | −0.705177 | − | 3.08958i | −0.0316634 | − | 0.138726i | ||||
\(497\) | 37.8799 | + | 8.90555i | 1.69914 | + | 0.399468i | ||||
\(498\) | 19.0707 | + | 10.8048i | 0.854577 | + | 0.484174i | ||||
\(499\) | −9.79568 | + | 6.67858i | −0.438515 | + | 0.298974i | −0.762381 | − | 0.647129i | \(-0.775970\pi\) |
0.323866 | + | 0.946103i | \(0.395017\pi\) | |||||||
\(500\) | 49.2241 | + | 15.1836i | 2.20137 | + | 0.679032i | ||||
\(501\) | −1.95276 | − | 12.2779i | −0.0872429 | − | 0.548536i | ||||
\(502\) | −5.60937 | + | 14.2924i | −0.250358 | + | 0.637902i | ||||
\(503\) | 1.50314 | − | 0.723873i | 0.0670216 | − | 0.0322759i | −0.400073 | − | 0.916483i | \(-0.631015\pi\) |
0.467094 | + | 0.884207i | \(0.345301\pi\) | |||||||
\(504\) | −5.05378 | + | 1.20543i | −0.225113 | + | 0.0536940i | ||||
\(505\) | −6.05748 | − | 2.91713i | −0.269555 | − | 0.129811i | ||||
\(506\) | 4.10063 | − | 3.80482i | 0.182295 | − | 0.169145i | ||||
\(507\) | 2.59733 | − | 18.2365i | 0.115351 | − | 0.809909i | ||||
\(508\) | −7.38530 | + | 12.7917i | −0.327670 | + | 0.567541i | ||||
\(509\) | 1.88925 | − | 3.27229i | 0.0837397 | − | 0.145041i | −0.821114 | − | 0.570765i | \(-0.806647\pi\) |
0.904854 | + | 0.425723i | \(0.139980\pi\) | |||||||
\(510\) | −9.15367 | − | 7.17890i | −0.405331 | − | 0.317887i | ||||
\(511\) | −0.0635468 | + | 9.76569i | −0.00281115 | + | 0.432009i | ||||
\(512\) | −17.4192 | + | 21.8429i | −0.769826 | + | 0.965331i | ||||
\(513\) | 0.856343 | + | 35.1201i | 0.0378085 | + | 1.55059i | ||||
\(514\) | −42.9322 | − | 20.6751i | −1.89366 | − | 0.911938i | ||||
\(515\) | 2.33967 | + | 31.2207i | 0.103098 | + | 1.37575i | ||||
\(516\) | −0.730485 | + | 1.54894i | −0.0321578 | + | 0.0681883i | ||||
\(517\) | −1.27471 | − | 3.24790i | −0.0560616 | − | 0.142843i | ||||
\(518\) | 34.0531 | − | 19.3662i | 1.49621 | − | 0.850904i | ||||
\(519\) | 2.17137 | − | 15.2457i | 0.0953126 | − | 0.669213i | ||||
\(520\) | −2.10195 | − | 3.64069i | −0.0921766 | − | 0.159655i | ||||
\(521\) | 26.5328 | 1.16242 | 0.581211 | − | 0.813753i | \(-0.302579\pi\) | ||||
0.581211 | + | 0.813753i | \(0.302579\pi\) | |||||||
\(522\) | 40.6700 | − | 28.7075i | 1.78008 | − | 1.25649i | ||||
\(523\) | 2.59875 | + | 11.3858i | 0.113635 | + | 0.497868i | 0.999429 | + | 0.0337893i | \(0.0107575\pi\) |
−0.885794 | + | 0.464079i | \(0.846385\pi\) | |||||||
\(524\) | −1.15984 | − | 15.4770i | −0.0506679 | − | 0.676116i | ||||
\(525\) | −28.5852 | − | 49.3264i | −1.24756 | − | 2.15278i | ||||
\(526\) | −2.05105 | + | 27.3694i | −0.0894301 | + | 1.19336i | ||||
\(527\) | −0.576931 | + | 0.0869584i | −0.0251315 | + | 0.00378797i | ||||
\(528\) | 0.573942 | + | 3.60863i | 0.0249776 | + | 0.157046i | ||||
\(529\) | −12.5347 | + | 11.6305i | −0.544989 | + | 0.505676i | ||||
\(530\) | −10.3954 | − | 5.00618i | −0.451549 | − | 0.217455i | ||||
\(531\) | −29.4585 | − | 8.56498i | −1.27839 | − | 0.371689i | ||||
\(532\) | 20.3102 | − | 21.6055i | 0.880557 | − | 0.936716i | ||||
\(533\) | 7.79871 | − | 7.23615i | 0.337800 | − | 0.313432i | ||||
\(534\) | 5.42461 | − | 3.19095i | 0.234746 | − | 0.138086i | ||||
\(535\) | 17.7128 | + | 45.1314i | 0.765789 | + | 1.95120i | ||||
\(536\) | −0.499637 | − | 0.463595i | −0.0215810 | − | 0.0200243i | ||||
\(537\) | 6.87576 | − | 5.57524i | 0.296711 | − | 0.240590i | ||||
\(538\) | −15.1179 | − | 26.1850i | −0.651780 | − | 1.12892i | ||||
\(539\) | 3.10174 | − | 0.912726i | 0.133601 | − | 0.0393139i | ||||
\(540\) | 33.7971 | + | 12.3224i | 1.45439 | + | 0.530270i | ||||
\(541\) | 15.5913 | − | 7.50840i | 0.670324 | − | 0.322811i | −0.0675826 | − | 0.997714i | \(-0.521529\pi\) |
0.737907 | + | 0.674902i | \(0.235814\pi\) | |||||||
\(542\) | −0.437384 | + | 0.134915i | −0.0187873 | + | 0.00579511i | ||||
\(543\) | 3.04209 | − | 6.45053i | 0.130548 | − | 0.276819i | ||||
\(544\) | 4.57756 | + | 4.24736i | 0.196261 | + | 0.182104i | ||||
\(545\) | −12.1779 | − | 3.75638i | −0.521643 | − | 0.160906i | ||||
\(546\) | 2.97785 | − | 13.1449i | 0.127440 | − | 0.562550i | ||||
\(547\) | 10.5696 | − | 3.26028i | 0.451923 | − | 0.139400i | −0.0604345 | − | 0.998172i | \(-0.519249\pi\) |
0.512357 | + | 0.858773i | \(0.328772\pi\) | |||||||
\(548\) | 31.6208 | + | 15.2278i | 1.35078 | + | 0.650499i | ||||
\(549\) | 4.20241 | − | 11.2414i | 0.179354 | − | 0.479772i | ||||
\(550\) | −9.90152 | + | 4.76832i | −0.422202 | + | 0.203322i | ||||
\(551\) | 21.4308 | − | 54.6048i | 0.912983 | − | 2.32624i | ||||
\(552\) | −1.12769 | − | 7.09033i | −0.0479979 | − | 0.301785i | ||||
\(553\) | −13.1774 | + | 19.0600i | −0.560360 | + | 0.810515i | ||||
\(554\) | 20.4133 | − | 13.9176i | 0.867278 | − | 0.591300i | ||||
\(555\) | 55.8764 | + | 3.73101i | 2.37182 | + | 0.158373i | ||||
\(556\) | 0.511254 | − | 1.30265i | 0.0216820 | − | 0.0552448i | ||||
\(557\) | 7.38157 | 0.312767 | 0.156384 | − | 0.987696i | \(-0.450016\pi\) | ||||
0.156384 | + | 0.987696i | \(0.450016\pi\) | |||||||
\(558\) | 3.55818 | − | 1.78534i | 0.150630 | − | 0.0755793i | ||||
\(559\) | 0.571879 | + | 0.717113i | 0.0241879 | + | 0.0303307i | ||||
\(560\) | 21.6000 | + | 45.6097i | 0.912767 | + | 1.92736i | ||||
\(561\) | 0.670420 | − | 0.0557230i | 0.0283052 | − | 0.00235263i | ||||
\(562\) | 10.6484 | + | 27.1318i | 0.449178 | + | 1.14449i | ||||
\(563\) | −6.52087 | + | 4.44586i | −0.274822 | + | 0.187371i | −0.692886 | − | 0.721047i | \(-0.743661\pi\) |
0.418064 | + | 0.908418i | \(0.362709\pi\) | |||||||
\(564\) | 21.1842 | + | 4.65438i | 0.892017 | + | 0.195985i | ||||
\(565\) | 50.7276 | + | 7.64595i | 2.13413 | + | 0.321668i | ||||
\(566\) | −7.07994 | + | 8.87796i | −0.297592 | + | 0.373169i | ||||
\(567\) | −10.8857 | − | 21.1778i | −0.457157 | − | 0.889386i | ||||
\(568\) | −6.00250 | − | 7.52690i | −0.251859 | − | 0.315822i | ||||
\(569\) | −7.21406 | − | 12.4951i | −0.302429 | − | 0.523823i | 0.674256 | − | 0.738497i | \(-0.264464\pi\) |
−0.976686 | + | 0.214675i | \(0.931131\pi\) | |||||||
\(570\) | 91.0131 | − | 21.5527i | 3.81212 | − | 0.902744i | ||||
\(571\) | 44.0201 | − | 6.63496i | 1.84218 | − | 0.277664i | 0.866876 | − | 0.498523i | \(-0.166124\pi\) |
0.975306 | + | 0.220859i | \(0.0708861\pi\) | |||||||
\(572\) | −1.12520 | − | 0.347078i | −0.0470469 | − | 0.0145120i | ||||
\(573\) | 13.8240 | + | 43.5565i | 0.577506 | + | 1.81960i | ||||
\(574\) | −27.5098 | + | 21.6470i | −1.14824 | + | 0.903527i | ||||
\(575\) | 70.9781 | − | 34.1812i | 2.95999 | − | 1.42546i | ||||
\(576\) | −13.8030 | − | 6.37295i | −0.575126 | − | 0.265539i | ||||
\(577\) | −3.43290 | + | 1.65320i | −0.142913 | + | 0.0688234i | −0.503974 | − | 0.863719i | \(-0.668129\pi\) |
0.361060 | + | 0.932542i | \(0.382415\pi\) | |||||||
\(578\) | −22.8423 | + | 21.1945i | −0.950114 | + | 0.881577i | ||||
\(579\) | 10.7039 | − | 11.7257i | 0.444838 | − | 0.487304i | ||||
\(580\) | −44.0323 | − | 40.8560i | −1.82834 | − | 1.69645i | ||||
\(581\) | −15.2177 | + | 8.65440i | −0.631336 | + | 0.359045i | ||||
\(582\) | 3.19570 | + | 0.213385i | 0.132466 | + | 0.00884511i | ||||
\(583\) | 0.637600 | − | 0.196674i | 0.0264067 | − | 0.00814539i | ||||
\(584\) | 1.50645 | − | 1.88903i | 0.0623373 | − | 0.0781685i | ||||
\(585\) | 13.9088 | − | 13.3326i | 0.575058 | − | 0.551236i | ||||
\(586\) | 10.0185 | − | 4.82468i | 0.413862 | − | 0.199305i | ||||
\(587\) | −8.05990 | − | 13.9602i | −0.332668 | − | 0.576198i | 0.650366 | − | 0.759621i | \(-0.274615\pi\) |
−0.983034 | + | 0.183423i | \(0.941282\pi\) | |||||||
\(588\) | −6.01810 | + | 19.1769i | −0.248182 | + | 0.790842i | ||||
\(589\) | 2.34549 | − | 4.06250i | 0.0966441 | − | 0.167393i | ||||
\(590\) | −6.10372 | + | 81.4485i | −0.251286 | + | 3.35318i | ||||
\(591\) | −0.323833 | − | 39.8498i | −0.0133207 | − | 1.63920i | ||||
\(592\) | −34.9656 | − | 5.27021i | −1.43708 | − | 0.216604i | ||||
\(593\) | −6.88807 | + | 30.1786i | −0.282859 | + | 1.23929i | 0.611250 | + | 0.791438i | \(0.290667\pi\) |
−0.894109 | + | 0.447849i | \(0.852190\pi\) | |||||||
\(594\) | −4.23072 | + | 1.78063i | −0.173588 | + | 0.0730602i | ||||
\(595\) | 8.67086 | − | 3.33811i | 0.355471 | − | 0.136849i | ||||
\(596\) | −14.2311 | + | 4.38971i | −0.582928 | + | 0.179809i | ||||
\(597\) | −32.8884 | − | 7.22589i | −1.34603 | − | 0.295736i | ||||
\(598\) | 17.7970 | + | 5.48966i | 0.727775 | + | 0.224489i | ||||
\(599\) | 1.45650 | − | 19.4356i | 0.0595109 | − | 0.794118i | −0.884990 | − | 0.465610i | \(-0.845835\pi\) |
0.944501 | − | 0.328508i | \(-0.106546\pi\) | |||||||
\(600\) | −1.98881 | + | 13.9639i | −0.0811928 | + | 0.570074i | ||||
\(601\) | −22.9922 | − | 15.6758i | −0.937872 | − | 0.639431i | −0.00513489 | − | 0.999987i | \(-0.501634\pi\) |
−0.932737 | + | 0.360556i | \(0.882587\pi\) | |||||||
\(602\) | −1.68385 | − | 2.50461i | −0.0686285 | − | 0.102080i | ||||
\(603\) | 1.51771 | − | 2.73029i | 0.0618061 | − | 0.111186i | ||||
\(604\) | 0.603615 | + | 2.64461i | 0.0245608 | + | 0.107608i | ||||
\(605\) | −16.4576 | + | 41.9334i | −0.669098 | + | 1.70483i | ||||
\(606\) | −1.53045 | + | 5.10863i | −0.0621704 | + | 0.207524i | ||||
\(607\) | −16.7817 | + | 29.0668i | −0.681150 | + | 1.17979i | 0.293480 | + | 0.955965i | \(0.405186\pi\) |
−0.974630 | + | 0.223821i | \(0.928147\pi\) | |||||||
\(608\) | −49.6458 | + | 7.48290i | −2.01340 | + | 0.303472i | ||||
\(609\) | 3.03546 | + | 39.6440i | 0.123003 | + | 1.60646i | ||||
\(610\) | −31.5948 | − | 4.76215i | −1.27924 | − | 0.192814i | ||||
\(611\) | 7.24286 | − | 9.08226i | 0.293015 | − | 0.367429i | ||||
\(612\) | −2.03184 | + | 3.65518i | −0.0821324 | + | 0.147752i | ||||
\(613\) | 31.3852 | + | 15.1143i | 1.26764 | + | 0.610461i | 0.942184 | − | 0.335097i | \(-0.108769\pi\) |
0.325452 | + | 0.945558i | \(0.394483\pi\) | |||||||
\(614\) | −7.04470 | − | 1.06182i | −0.284301 | − | 0.0428515i | ||||
\(615\) | −49.8686 | + | 4.14491i | −2.01090 | + | 0.167139i | ||||
\(616\) | −0.742714 | − | 0.297085i | −0.0299248 | − | 0.0119699i | ||||
\(617\) | −11.3819 | + | 1.71555i | −0.458219 | + | 0.0690654i | −0.374096 | − | 0.927390i | \(-0.622047\pi\) |
−0.0841229 | + | 0.996455i | \(0.526809\pi\) | |||||||
\(618\) | 24.1655 | − | 5.72261i | 0.972078 | − | 0.230197i | ||||
\(619\) | −5.80763 | − | 10.0591i | −0.233428 | − | 0.404310i | 0.725386 | − | 0.688342i | \(-0.241661\pi\) |
−0.958815 | + | 0.284032i | \(0.908328\pi\) | |||||||
\(620\) | −2.99494 | − | 3.75554i | −0.120280 | − | 0.150826i | ||||
\(621\) | 30.3275 | − | 12.7643i | 1.21700 | − | 0.512214i | ||||
\(622\) | −27.1176 | − | 13.0592i | −1.08732 | − | 0.523624i | ||||
\(623\) | −0.0327083 | + | 5.02652i | −0.00131043 | + | 0.201383i | ||||
\(624\) | −9.44956 | + | 7.66221i | −0.378285 | + | 0.306734i | ||||
\(625\) | −66.8133 | + | 10.0705i | −2.67253 | + | 0.402819i | ||||
\(626\) | 0.867386 | − | 11.5745i | 0.0346677 | − | 0.462609i | ||||
\(627\) | −3.01049 | + | 4.49360i | −0.120227 | + | 0.179457i | ||||
\(628\) | −1.34414 | − | 17.9363i | −0.0536371 | − | 0.715737i | ||||
\(629\) | −1.44865 | + | 6.34696i | −0.0577615 | + | 0.253070i | ||||
\(630\) | −49.1771 | + | 40.0076i | −1.95926 | + | 1.59394i | ||||
\(631\) | 2.73847 | + | 11.9980i | 0.109017 | + | 0.477634i | 0.999734 | + | 0.0230754i | \(0.00734577\pi\) |
−0.890717 | + | 0.454558i | \(0.849797\pi\) | |||||||
\(632\) | 5.47816 | − | 1.68979i | 0.217909 | − | 0.0672162i | ||||
\(633\) | 8.15071 | + | 11.7486i | 0.323962 | + | 0.466966i | ||||
\(634\) | −17.2042 | − | 15.9632i | −0.683266 | − | 0.633978i | ||||
\(635\) | 2.78073 | − | 37.1063i | 0.110350 | − | 1.47252i | ||||
\(636\) | −1.19035 | + | 3.97337i | −0.0472004 | + | 0.157554i | ||||
\(637\) | 7.79522 | + | 7.42401i | 0.308858 | + | 0.294150i | ||||
\(638\) | 7.66450 | 0.303440 | ||||||||
\(639\) | 26.9458 | − | 34.9391i | 1.06596 | − | 1.38217i | ||||
\(640\) | 4.79511 | − | 21.0087i | 0.189543 | − | 0.830443i | ||||
\(641\) | −31.0195 | − | 4.67544i | −1.22520 | − | 0.184669i | −0.495603 | − | 0.868549i | \(-0.665053\pi\) |
−0.729594 | + | 0.683880i | \(0.760291\pi\) | |||||||
\(642\) | 33.1472 | − | 19.4984i | 1.30821 | − | 0.769540i | ||||
\(643\) | 37.2879 | + | 11.5018i | 1.47049 | + | 0.453587i | 0.923516 | − | 0.383560i | \(-0.125302\pi\) |
0.546977 | + | 0.837147i | \(0.315778\pi\) | |||||||
\(644\) | −25.7873 | − | 10.3149i | −1.01616 | − | 0.406464i | ||||
\(645\) | −0.0350581 | − | 4.31414i | −0.00138041 | − | 0.169869i | ||||
\(646\) | 0.812543 | + | 10.8426i | 0.0319691 | + | 0.426598i | ||||
\(647\) | 2.86587 | + | 12.5562i | 0.112669 | + | 0.493634i | 0.999502 | + | 0.0315452i | \(0.0100428\pi\) |
−0.886834 | + | 0.462089i | \(0.847100\pi\) | |||||||
\(648\) | −1.12357 | + | 5.78307i | −0.0441379 | + | 0.227180i | ||||
\(649\) | −2.94496 | − | 3.69287i | −0.115600 | − | 0.144958i | ||||
\(650\) | −30.2320 | − | 20.6118i | −1.18580 | − | 0.808461i | ||||
\(651\) | −0.232477 | + | 3.17107i | −0.00911147 | + | 0.124284i | ||||
\(652\) | −3.77117 | + | 2.57114i | −0.147691 | + | 0.100694i | ||||
\(653\) | −31.4603 | − | 9.70422i | −1.23114 | − | 0.379755i | −0.390120 | − | 0.920764i | \(-0.627566\pi\) |
−0.841017 | + | 0.541009i | \(0.818043\pi\) | |||||||
\(654\) | −1.42534 | + | 10.0077i | −0.0557352 | + | 0.391330i | ||||
\(655\) | 19.5496 | + | 33.8610i | 0.763867 | + | 1.32306i | ||||
\(656\) | 31.5970 | 1.23366 | ||||||||
\(657\) | 10.0536 | + | 4.64183i | 0.392230 | + | 0.181095i | ||||
\(658\) | −26.1802 | + | 27.8499i | −1.02061 | + | 1.08570i | ||||
\(659\) | −4.36723 | − | 0.658254i | −0.170123 | − | 0.0256419i | 0.0634282 | − | 0.997986i | \(-0.479797\pi\) |
−0.233551 | + | 0.972344i | \(0.575035\pi\) | |||||||
\(660\) | 3.15708 | + | 4.55070i | 0.122889 | + | 0.177136i | ||||
\(661\) | 13.5247 | − | 9.22100i | 0.526051 | − | 0.358655i | −0.270989 | − | 0.962583i | \(-0.587351\pi\) |
0.797040 | + | 0.603927i | \(0.206398\pi\) | |||||||
\(662\) | 35.1250 | − | 23.9478i | 1.36517 | − | 0.930759i | ||||
\(663\) | 1.27673 | + | 1.84030i | 0.0495839 | + | 0.0714714i | ||||
\(664\) | 4.28285 | + | 0.645536i | 0.166207 | + | 0.0250517i | ||||
\(665\) | −22.4829 | + | 71.2387i | −0.871850 | + | 2.76252i | ||||
\(666\) | −4.03896 | − | 44.2361i | −0.156506 | − | 1.71411i | ||||
\(667\) | −54.9422 | −2.12737 | ||||||||
\(668\) | 5.94942 | + | 10.3047i | 0.230190 | + | 0.398701i | ||||
\(669\) | −3.74780 | + | 26.3142i | −0.144898 | + | 1.01736i | ||||
\(670\) | −7.94714 | − | 2.45137i | −0.307025 | − | 0.0947046i | ||||
\(671\) | 1.52669 | − | 1.04088i | 0.0589372 | − | 0.0401827i | ||||
\(672\) | 28.0862 | − | 19.2155i | 1.08345 | − | 0.741255i | ||||
\(673\) | 1.00916 | + | 0.688031i | 0.0389001 | + | 0.0265217i | 0.582614 | − | 0.812749i | \(-0.302030\pi\) |
−0.543714 | + | 0.839271i | \(0.682982\pi\) | |||||||
\(674\) | 39.5311 | + | 49.5704i | 1.52268 | + | 1.90938i | ||||
\(675\) | −64.3262 | + | 6.40076i | −2.47592 | + | 0.246366i | ||||
\(676\) | 3.92309 | + | 17.1882i | 0.150888 | + | 0.661084i | ||||
\(677\) | −0.291348 | − | 3.88777i | −0.0111974 | − | 0.149419i | −1.00000 | 0.000189533i | \(-0.999940\pi\) | |
0.988803 | − | 0.149230i | \(-0.0476794\pi\) | |||||||
\(678\) | −0.330664 | − | 40.6905i | −0.0126991 | − | 1.56271i | ||||
\(679\) | −1.45474 | + | 2.10416i | −0.0558278 | + | 0.0807503i | ||||
\(680\) | −2.19659 | − | 0.677558i | −0.0842354 | − | 0.0259832i | ||||
\(681\) | 8.46364 | − | 4.97862i | 0.324327 | − | 0.190781i | ||||
\(682\) | 0.606078 | + | 0.0913516i | 0.0232079 | + | 0.00349803i | ||||
\(683\) | 0.182427 | − | 0.799263i | 0.00698036 | − | 0.0305829i | −0.971318 | − | 0.237785i | \(-0.923579\pi\) |
0.978298 | + | 0.207202i | \(0.0664358\pi\) | |||||||
\(684\) | −12.7910 | − | 31.0953i | −0.489077 | − | 1.18896i | ||||
\(685\) | −88.4157 | −3.37819 | ||||||||
\(686\) | −23.5806 | − | 26.4303i | −0.900310 | − | 1.00911i | ||||
\(687\) | 12.1305 | − | 40.4913i | 0.462806 | − | 1.54484i | ||||
\(688\) | −0.203577 | + | 2.71654i | −0.00776129 | + | 0.103567i | ||||
\(689\) | 1.62850 | + | 1.51103i | 0.0620409 | + | 0.0575656i | ||||
\(690\) | −49.9350 | − | 71.9775i | −1.90099 | − | 2.74014i | ||||
\(691\) | 1.87305 | − | 0.577759i | 0.0712542 | − | 0.0219790i | −0.258923 | − | 0.965898i | \(-0.583368\pi\) |
0.330177 | + | 0.943919i | \(0.392891\pi\) | |||||||
\(692\) | 3.27971 | + | 14.3694i | 0.124676 | + | 0.546241i | ||||
\(693\) | 0.511057 | − | 3.63035i | 0.0194135 | − | 0.137906i | ||||
\(694\) | −11.7513 | + | 51.4860i | −0.446075 | + | 1.95438i | ||||
\(695\) | 0.263451 | + | 3.51551i | 0.00999325 | + | 0.133351i | ||||
\(696\) | 5.47511 | − | 8.17241i | 0.207534 | − | 0.309775i | ||||
\(697\) | 0.434727 | − | 5.80103i | 0.0164665 | − | 0.219730i | ||||
\(698\) | −27.9541 | + | 4.21340i | −1.05808 | + | 0.159479i | ||||
\(699\) | 18.6187 | − | 15.0971i | 0.704224 | − | 0.571023i | ||||
\(700\) | 42.4381 | + | 34.2974i | 1.60401 | + | 1.29632i | ||||
\(701\) | −29.3918 | − | 14.1544i | −1.11011 | − | 0.534603i | −0.213290 | − | 0.976989i | \(-0.568418\pi\) |
−0.896825 | + | 0.442386i | \(0.854132\pi\) | |||||||
\(702\) | −12.1771 | − | 9.23445i | −0.459596 | − | 0.348532i | ||||
\(703\) | −32.6350 | − | 40.9230i | −1.23085 | − | 1.54344i | ||||
\(704\) | −1.17037 | − | 2.02714i | −0.0441101 | − | 0.0764009i | ||||
\(705\) | −53.1700 | + | 12.5911i | −2.00250 | + | 0.474210i | ||||
\(706\) | −25.3554 | + | 3.82172i | −0.954264 | + | 0.143832i | ||||
\(707\) | −2.87676 | − | 3.14115i | −0.108192 | − | 0.118135i | ||||
\(708\) | 29.2613 | − | 2.43210i | 1.09971 | − | 0.0914037i | ||||
\(709\) | 48.4728 | + | 7.30611i | 1.82044 | + | 0.274387i | 0.968455 | − | 0.249187i | \(-0.0801633\pi\) |
0.851981 | + | 0.523573i | \(0.175401\pi\) | |||||||
\(710\) | −105.838 | − | 50.9687i | −3.97201 | − | 1.91282i | ||||
\(711\) | 13.5052 | + | 22.5377i | 0.506484 | + | 0.845229i | ||||
\(712\) | 0.775387 | − | 0.972305i | 0.0290589 | − | 0.0364387i | ||||
\(713\) | −4.34462 | − | 0.654845i | −0.162707 | − | 0.0245242i | ||||
\(714\) | −3.69525 | − | 6.37649i | −0.138291 | − | 0.238634i | ||||
\(715\) | 2.93328 | − | 0.442120i | 0.109698 | − | 0.0165344i | ||||
\(716\) | −4.23615 | + | 7.33723i | −0.158313 | + | 0.274205i | ||||
\(717\) | −5.14181 | + | 17.1633i | −0.192024 | + | 0.640974i | ||||
\(718\) | 4.68790 | − | 11.9446i | 0.174951 | − | 0.445767i | ||||
\(719\) | 1.21563 | + | 5.32602i | 0.0453353 | + | 0.198627i | 0.992524 | − | 0.122050i | \(-0.0389468\pi\) |
−0.947189 | + | 0.320677i | \(0.896090\pi\) | |||||||
\(720\) | 57.2154 | − | 0.929964i | 2.13229 | − | 0.0346577i | ||||
\(721\) | −5.96959 | + | 18.9151i | −0.222319 | + | 0.704433i | ||||
\(722\) | −42.2062 | − | 28.7757i | −1.57075 | − | 1.07092i | ||||
\(723\) | −5.56964 | + | 39.1058i | −0.207137 | + | 1.45436i | ||||
\(724\) | −0.510100 | + | 6.80681i | −0.0189577 | + | 0.252973i | ||||
\(725\) | 103.145 | + | 31.8159i | 3.83070 | + | 1.18161i | ||||
\(726\) | 34.8993 | + | 7.66772i | 1.29523 | + | 0.284576i | ||||
\(727\) | −13.9023 | + | 4.28831i | −0.515609 | + | 0.159044i | −0.541630 | − | 0.840617i | \(-0.682193\pi\) |
0.0260206 | + | 0.999661i | \(0.491716\pi\) | |||||||
\(728\) | −0.379799 | − | 2.63608i | −0.0140763 | − | 0.0976994i | ||||
\(729\) | −26.9679 | + | 1.31591i | −0.998812 | + | 0.0487376i | ||||
\(730\) | 6.56029 | − | 28.7425i | 0.242807 | − | 1.06381i | ||||
\(731\) | 0.495940 | + | 0.0747510i | 0.0183430 | + | 0.00276476i | ||||
\(732\) | 0.0933388 | + | 11.4860i | 0.00344990 | + | 0.424534i | ||||
\(733\) | −1.79954 | + | 24.0132i | −0.0664674 | + | 0.886946i | 0.859933 | + | 0.510407i | \(0.170505\pi\) |
−0.926401 | + | 0.376539i | \(0.877114\pi\) | |||||||
\(734\) | −7.09001 | + | 12.2803i | −0.261697 | + | 0.453273i | ||||
\(735\) | −7.30176 | − | 50.1046i | −0.269330 | − | 1.84814i | ||||
\(736\) | 23.5124 | + | 40.7247i | 0.866679 | + | 1.50113i | ||||
\(737\) | 0.433319 | − | 0.208675i | 0.0159615 | − | 0.00768666i | ||||
\(738\) | 9.46011 | + | 38.5486i | 0.348232 | + | 1.41899i | ||||
\(739\) | −11.1796 | + | 14.0188i | −0.411249 | + | 0.515690i | −0.943714 | − | 0.330762i | \(-0.892694\pi\) |
0.532465 | + | 0.846452i | \(0.321266\pi\) | |||||||
\(740\) | −51.2170 | + | 15.7984i | −1.88277 | + | 0.580759i | ||||
\(741\) | −17.9683 | − | 1.19979i | −0.660080 | − | 0.0440753i | ||||
\(742\) | −4.93689 | − | 5.39063i | −0.181239 | − | 0.197896i | ||||
\(743\) | −0.815748 | − | 0.756904i | −0.0299269 | − | 0.0277681i | 0.665068 | − | 0.746783i | \(-0.268403\pi\) |
−0.694994 | + | 0.719015i | \(0.744593\pi\) | |||||||
\(744\) | 0.530356 | − | 0.580986i | 0.0194438 | − | 0.0213000i | ||||
\(745\) | 27.5026 | − | 25.5187i | 1.00762 | − | 0.934934i | ||||
\(746\) | 46.6584 | − | 22.4695i | 1.70829 | − | 0.822667i | ||||
\(747\) | 1.80493 | + | 19.7683i | 0.0660390 | + | 0.723282i | ||||
\(748\) | −0.580107 | + | 0.279365i | −0.0212108 | + | 0.0102146i | ||||
\(749\) | −0.199865 | + | 30.7146i | −0.00730290 | + | 1.12229i | ||||
\(750\) | 31.1390 | + | 98.1124i | 1.13704 | + | 3.58256i | ||||
\(751\) | −13.9850 | − | 4.31380i | −0.510320 | − | 0.157413i | 0.0288928 | − | 0.999583i | \(-0.490802\pi\) |
−0.539213 | + | 0.842170i | \(0.681278\pi\) | |||||||
\(752\) | 34.1162 | − | 5.14219i | 1.24409 | − | 0.187517i | ||||
\(753\) | −13.5307 | + | 3.20420i | −0.493087 | + | 0.116768i | ||||
\(754\) | 12.7592 | + | 22.0995i | 0.464662 | + | 0.804818i | ||||
\(755\) | −4.26073 | − | 5.34279i | −0.155064 | − | 0.194444i | ||||
\(756\) | 16.9807 | + | 15.2002i | 0.617583 | + | 0.552827i | ||||
\(757\) | −0.742147 | + | 0.930623i | −0.0269738 | + | 0.0338241i | −0.795135 | − | 0.606432i | \(-0.792600\pi\) |
0.768162 | + | 0.640256i | \(0.221172\pi\) | |||||||
\(758\) | 40.7353 | + | 6.13986i | 1.47957 | + | 0.223010i | ||||
\(759\) | 4.94803 | + | 1.08713i | 0.179602 | + | 0.0394603i | ||||
\(760\) | 15.2705 | − | 10.4112i | 0.553918 | − | 0.377655i | ||||
\(761\) | −14.7981 | − | 37.7050i | −0.536431 | − | 1.36680i | −0.900266 | − | 0.435340i | \(-0.856628\pi\) |
0.363835 | − | 0.931463i | \(-0.381467\pi\) | |||||||
\(762\) | −29.4140 | + | 2.44479i | −1.06556 | + | 0.0885653i | ||||
\(763\) | −6.27942 | − | 5.07486i | −0.227330 | − | 0.183722i | ||||
\(764\) | −27.2696 | − | 34.1950i | −0.986580 | − | 1.23713i | ||||
\(765\) | 0.616461 | − | 10.5172i | 0.0222882 | − | 0.380250i | ||||
\(766\) | 69.4074 | 2.50779 | ||||||||
\(767\) | 5.74537 | − | 14.6390i | 0.207453 | − | 0.528582i | ||||
\(768\) | −34.5709 | − | 2.30839i | −1.24747 | − | 0.0832970i | ||||
\(769\) | 18.9474 | − | 12.9181i | 0.683261 | − | 0.465839i | −0.171281 | − | 0.985222i | \(-0.554791\pi\) |
0.854542 | + | 0.519383i | \(0.173838\pi\) | |||||||
\(770\) | −9.73787 | + | 0.666062i | −0.350929 | + | 0.0240032i | ||||
\(771\) | −6.77842 | − | 42.6190i | −0.244119 | − | 1.53489i | ||||
\(772\) | −5.55150 | + | 14.1450i | −0.199803 | + | 0.509090i | ||||
\(773\) | 2.19780 | − | 1.05841i | 0.0790494 | − | 0.0380682i | −0.393941 | − | 0.919136i | \(-0.628889\pi\) |
0.472991 | + | 0.881067i | \(0.343174\pi\) | |||||||
\(774\) | −3.37515 | + | 0.564965i | −0.121317 | + | 0.0203072i | ||||
\(775\) | 7.77707 | + | 3.74524i | 0.279360 | + | 0.134533i | ||||
\(776\) | 0.604770 | − | 0.186547i | 0.0217100 | − | 0.00669664i | ||||
\(777\) | 31.9896 | + | 15.3416i | 1.14762 | + | 0.550378i | ||||
\(778\) | 29.1697 | + | 8.99766i | 1.04578 | + | 0.322582i | ||||
\(779\) | 34.2860 | + | 31.8128i | 1.22842 | + | 1.13981i | ||||
\(780\) | −7.86568 | + | 16.6786i | −0.281636 | + | 0.597190i | ||||
\(781\) | 6.49150 | − | 2.00236i | 0.232284 | − | 0.0716502i | ||||
\(782\) | 9.17544 | − | 4.41866i | 0.328113 | − | 0.158011i | ||||
\(783\) | 42.3562 | + | 15.4430i | 1.51369 | + | 0.551889i | ||||
\(784\) | 1.97413 | + | 31.9106i | 0.0705048 | + | 1.13967i | ||||
\(785\) | 22.6561 | + | 39.2415i | 0.808631 | + | 1.40059i | ||||
\(786\) | 24.0895 | − | 19.5331i | 0.859246 | − | 0.696723i | ||||
\(787\) | 5.00024 | + | 4.63954i | 0.178239 | + | 0.165382i | 0.764247 | − | 0.644923i | \(-0.223111\pi\) |
−0.586008 | + | 0.810305i | \(0.699301\pi\) | |||||||
\(788\) | 13.9346 | + | 35.5048i | 0.496400 | + | 1.26481i | ||||
\(789\) | −21.4244 | + | 12.6026i | −0.762730 | + | 0.448665i | ||||
\(790\) | 51.2782 | − | 47.5792i | 1.82440 | − | 1.69279i | ||||
\(791\) | 28.0398 | + | 16.4330i | 0.996982 | + | 0.584291i | ||||
\(792\) | −0.654788 | + | 0.627663i | −0.0232669 | + | 0.0223030i | ||||
\(793\) | 5.54273 | + | 2.66924i | 0.196828 | + | 0.0947873i | ||||
\(794\) | 8.37971 | − | 7.77523i | 0.297385 | − | 0.275933i | ||||
\(795\) | −1.64130 | − | 10.3196i | −0.0582109 | − | 0.365998i | ||||
\(796\) | 31.8682 | − | 4.80336i | 1.12954 | − | 0.170251i | ||||
\(797\) | 1.24885 | − | 16.6648i | 0.0442366 | − | 0.590297i | −0.930406 | − | 0.366530i | \(-0.880546\pi\) |
0.974643 | − | 0.223766i | \(-0.0718353\pi\) | |||||||
\(798\) | 58.6066 | + | 8.73650i | 2.07465 | + | 0.309269i | ||||
\(799\) | −0.474689 | − | 6.33429i | −0.0167933 | − | 0.224091i | ||||
\(800\) | −20.5577 | − | 90.0692i | −0.726824 | − | 3.18443i | ||||
\(801\) | 5.17473 | + | 2.38921i | 0.182840 | + | 0.0844185i | ||||
\(802\) | −48.2194 | −1.70269 | ||||||||
\(803\) | 0.852458 | + | 1.47650i | 0.0300826 | + | 0.0521046i | ||||
\(804\) | −0.421561 | + | 2.95988i | −0.0148673 | + | 0.104387i | ||||
\(805\) | 69.8050 | − | 4.77460i | 2.46030 | − | 0.168283i | ||||
\(806\) | 0.745545 | + | 1.89962i | 0.0262607 | + | 0.0669112i | ||||
\(807\) | 11.6800 | − | 24.7667i | 0.411157 | − | 0.871829i | ||||
\(808\) | 0.0787512 | + | 1.05086i | 0.00277046 | + | 0.0369692i | ||||
\(809\) | −4.77548 | − | 2.29975i | −0.167897 | − | 0.0808550i | 0.348048 | − | 0.937477i | \(-0.386845\pi\) |
−0.515945 | + | 0.856622i | \(0.672559\pi\) | |||||||
\(810\) | 18.2648 | + | 69.5247i | 0.641759 | + | 2.44285i | ||||
\(811\) | −32.3800 | + | 40.6033i | −1.13702 | + | 1.42577i | −0.247489 | + | 0.968891i | \(0.579605\pi\) |
−0.889527 | + | 0.456883i | \(0.848966\pi\) | |||||||
\(812\) | −16.2877 | − | 34.3924i | −0.571585 | − | 1.20694i | ||||
\(813\) | −0.326180 | − | 0.255812i | −0.0114396 | − | 0.00897171i | ||||
\(814\) | 3.41954 | − | 5.92282i | 0.119855 | − | 0.207595i | ||||
\(815\) | 5.74919 | − | 9.95789i | 0.201385 | − | 0.348810i | ||||
\(816\) | −0.937982 | + | 6.58580i | −0.0328359 | + | 0.230549i | ||||
\(817\) | −2.95599 | + | 2.74276i | −0.103417 | + | 0.0959570i | ||||
\(818\) | −4.38311 | − | 2.11079i | −0.153252 | − | 0.0738022i | ||||
\(819\) | 11.3184 | − | 4.56993i | 0.395497 | − | 0.159686i | ||||
\(820\) | 43.1507 | − | 20.7803i | 1.50689 | − | 0.725679i | ||||
\(821\) | 13.7088 | − | 34.9294i | 0.478440 | − | 1.21905i | −0.464348 | − | 0.885653i | \(-0.653711\pi\) |
0.942788 | − | 0.333393i | \(-0.108194\pi\) | |||||||
\(822\) | 11.0158 | + | 69.2611i | 0.384219 | + | 2.41576i | ||||
\(823\) | −41.4812 | − | 12.7953i | −1.44594 | − | 0.446015i | −0.530233 | − | 0.847852i | \(-0.677895\pi\) |
−0.915711 | + | 0.401837i | \(0.868372\pi\) | |||||||
\(824\) | 4.05456 | − | 2.76435i | 0.141247 | − | 0.0963008i | ||||
\(825\) | −8.65955 | − | 4.90620i | −0.301487 | − | 0.170812i | ||||
\(826\) | −22.7541 | + | 46.4733i | −0.791716 | + | 1.61701i | ||||
\(827\) | −10.1290 | − | 44.3780i | −0.352219 | − | 1.54317i | −0.772045 | − | 0.635568i | \(-0.780766\pi\) |
0.419826 | − | 0.907605i | \(-0.362091\pi\) | |||||||
\(828\) | −22.7345 | + | 21.7927i | −0.790077 | + | 0.757348i | ||||
\(829\) | 24.7332 | − | 31.0145i | 0.859021 | − | 1.07718i | −0.137219 | − | 0.990541i | \(-0.543816\pi\) |
0.996240 | − | 0.0866374i | \(-0.0276121\pi\) | |||||||
\(830\) | 50.5013 | − | 15.5776i | 1.75292 | − | 0.540706i | ||||
\(831\) | 20.8940 | + | 8.00496i | 0.724804 | + | 0.277689i | ||||
\(832\) | 3.89666 | − | 6.74922i | 0.135092 | − | 0.233987i | ||||
\(833\) | 5.88576 | + | 0.0766023i | 0.203930 | + | 0.00265411i | ||||
\(834\) | 2.72108 | − | 0.644375i | 0.0942231 | − | 0.0223129i | ||||
\(835\) | −24.7671 | − | 16.8859i | −0.857102 | − | 0.584362i | ||||
\(836\) | 1.15194 | − | 5.04698i | 0.0398407 | − | 0.174554i | ||||
\(837\) | 3.16530 | + | 1.72601i | 0.109409 | + | 0.0596596i | ||||
\(838\) | 9.01519 | − | 39.4981i | 0.311425 | − | 1.36444i | ||||
\(839\) | 33.8812 | − | 31.4372i | 1.16971 | − | 1.08533i | 0.174796 | − | 0.984605i | \(-0.444073\pi\) |
0.994914 | − | 0.100728i | \(-0.0321170\pi\) | |||||||
\(840\) | −6.24602 | + | 10.8590i | −0.215508 | + | 0.374671i | ||||
\(841\) | −33.9250 | − | 31.4778i | −1.16983 | − | 1.08544i | ||||
\(842\) | 49.5281 | − | 33.7677i | 1.70685 | − | 1.16371i | ||||
\(843\) | −14.6918 | + | 21.9297i | −0.506013 | + | 0.755299i | ||||
\(844\) | −11.3076 | − | 7.70939i | −0.389223 | − | 0.265368i | ||||
\(845\) | −27.6919 | − | 34.7245i | −0.952629 | − | 1.19456i | ||||
\(846\) | 16.4879 | + | 40.0824i | 0.566864 | + | 1.37806i | ||||
\(847\) | −19.5470 | + | 20.7937i | −0.671644 | + | 0.714479i | ||||
\(848\) | 0.493068 | + | 6.57954i | 0.0169320 | + | 0.225942i | ||||
\(849\) | −10.2610 | − | 0.685152i | −0.352155 | − | 0.0235143i | ||||
\(850\) | −19.7841 | + | 2.98197i | −0.678588 | + | 0.102281i | ||||
\(851\) | −24.5127 | + | 42.4572i | −0.840283 | + | 1.45541i | ||||
\(852\) | −12.1191 | + | 40.4534i | −0.415194 | + | 1.38591i | ||||
\(853\) | 3.34115 | − | 8.51310i | 0.114399 | − | 0.291483i | −0.862195 | − | 0.506577i | \(-0.830911\pi\) |
0.976593 | + | 0.215094i | \(0.0690058\pi\) | |||||||
\(854\) | −17.4641 | − | 10.2350i | −0.597610 | − | 0.350235i | ||||
\(855\) | 63.0209 | + | 56.5969i | 2.15527 | + | 1.93557i | ||||
\(856\) | 4.73802 | − | 5.94128i | 0.161942 | − | 0.203069i | ||||
\(857\) | 1.85117 | + | 24.7021i | 0.0632348 | + | 0.843809i | 0.935173 | + | 0.354192i | \(0.115244\pi\) |
−0.871938 | + | 0.489617i | \(0.837137\pi\) | |||||||
\(858\) | −0.711797 | − | 2.24272i | −0.0243004 | − | 0.0765652i | ||||
\(859\) | −13.6965 | − | 34.8980i | −0.467317 | − | 1.19070i | −0.949257 | − | 0.314500i | \(-0.898163\pi\) |
0.481941 | − | 0.876204i | \(-0.339932\pi\) | |||||||
\(860\) | 1.50856 | + | 3.84375i | 0.0514415 | + | 0.131071i | ||||
\(861\) | −30.3088 | − | 9.29532i | −1.03292 | − | 0.316784i | ||||
\(862\) | −18.5277 | + | 47.2078i | −0.631056 | + | 1.60790i | ||||
\(863\) | −30.1682 | −1.02694 | −0.513469 | − | 0.858108i | \(-0.671640\pi\) | ||||
−0.513469 | + | 0.858108i | \(0.671640\pi\) | |||||||
\(864\) | −6.67946 | − | 38.0044i | −0.227240 | − | 1.29294i | ||||
\(865\) | −23.1505 | − | 29.0298i | −0.787139 | − | 0.987041i | ||||
\(866\) | −23.7332 | + | 22.0212i | −0.806489 | + | 0.748312i | ||||
\(867\) | −27.5627 | − | 6.05579i | −0.936079 | − | 0.205665i | ||||
\(868\) | −0.878049 | − | 2.91374i | −0.0298029 | − | 0.0988989i | ||||
\(869\) | −0.302305 | + | 4.03397i | −0.0102550 | + | 0.136843i | ||||
\(870\) | 16.9244 | − | 118.830i | 0.573789 | − | 4.02871i | ||||
\(871\) | 1.32304 | + | 0.902032i | 0.0448294 | + | 0.0305642i | ||||
\(872\) | 0.444486 | + | 1.94742i | 0.0150522 | + | 0.0659480i | ||||
\(873\) | 1.49093 | + | 2.48808i | 0.0504602 | + | 0.0842088i | ||||
\(874\) | −18.2200 | + | 79.8271i | −0.616302 | + | 2.70019i | ||||
\(875\) | −80.0321 | − | 18.8155i | −2.70558 | − | 0.636081i | ||||
\(876\) | −10.5749 | − | 0.706111i | −0.357291 | − | 0.0238573i | ||||
\(877\) | 5.52843 | + | 5.12964i | 0.186682 | + | 0.173216i | 0.767977 | − | 0.640477i | \(-0.221263\pi\) |
−0.581295 | + | 0.813693i | \(0.697454\pi\) | |||||||
\(878\) | 15.1620 | + | 38.6321i | 0.511692 | + | 1.30377i | ||||
\(879\) | 8.76189 | + | 4.96419i | 0.295531 | + | 0.167438i | ||||
\(880\) | 7.27938 | + | 4.96300i | 0.245388 | + | 0.167303i | ||||
\(881\) | −28.5897 | −0.963211 | −0.481605 | − | 0.876388i | \(-0.659946\pi\) | ||||
−0.481605 | + | 0.876388i | \(0.659946\pi\) | |||||||
\(882\) | −38.3401 | + | 11.9625i | −1.29098 | + | 0.402797i | ||||
\(883\) | 26.2676 | 0.883975 | 0.441987 | − | 0.897021i | \(-0.354274\pi\) | ||||
0.441987 | + | 0.897021i | \(0.354274\pi\) | |||||||
\(884\) | −1.77122 | − | 1.20760i | −0.0595726 | − | 0.0406159i | ||||
\(885\) | −63.7569 | + | 37.5041i | −2.14317 | + | 1.26069i | ||||
\(886\) | 13.8922 | + | 35.3967i | 0.466717 | + | 1.18918i | ||||
\(887\) | 3.74243 | + | 3.47247i | 0.125658 | + | 0.116594i | 0.740499 | − | 0.672057i | \(-0.234589\pi\) |
−0.614841 | + | 0.788651i | \(0.710780\pi\) | |||||||
\(888\) | −3.87258 | − | 7.87710i | −0.129955 | − | 0.264338i | ||||
\(889\) | 10.3663 | − | 21.1723i | 0.347674 | − | 0.710096i | ||||
\(890\) | 3.37666 | − | 14.7941i | 0.113186 | − | 0.495900i | ||||
\(891\) | −3.50898 | − | 2.22887i | −0.117555 | − | 0.0746701i | ||||
\(892\) | −5.66080 | − | 24.8016i | −0.189537 | − | 0.830418i | ||||
\(893\) | 42.1969 | + | 28.7694i | 1.41207 | + | 0.962730i | ||||
\(894\) | −23.4169 | − | 18.3650i | −0.783177 | − | 0.614218i | ||||
\(895\) | 1.59501 | − | 21.2839i | 0.0533152 | − | 0.711442i | ||||
\(896\) | 7.76365 | − | 11.2295i | 0.259365 | − | 0.375151i | ||||
\(897\) | 5.10245 | + | 16.0767i | 0.170366 | + | 0.536786i | ||||
\(898\) | 4.35387 | − | 4.03980i | 0.145291 | − | 0.134810i | ||||
\(899\) | −3.75342 | − | 4.70664i | −0.125184 | − | 0.156975i | ||||
\(900\) | 55.2997 | − | 27.7470i | 1.84332 | − | 0.924899i | ||||
\(901\) | 1.21475 | 0.0404691 | ||||||||
\(902\) | −2.23267 | + | 5.68875i | −0.0743397 | + | 0.189415i | ||||
\(903\) | 0.994439 | − | 2.54590i | 0.0330928 | − | 0.0847223i | ||||
\(904\) | −2.93765 | − | 7.48501i | −0.0977047 | − | 0.248948i | ||||
\(905\) | −6.28237 | − | 16.0072i | −0.208833 | − | 0.532098i | ||||
\(906\) | −3.65447 | + | 4.00334i | −0.121412 | + | 0.133002i | ||||
\(907\) | −1.70424 | − | 22.7415i | −0.0565884 | − | 0.755119i | −0.951259 | − | 0.308393i | \(-0.900209\pi\) |
0.894671 | − | 0.446726i | \(-0.147410\pi\) | |||||||
\(908\) | −5.85961 | + | 7.34771i | −0.194458 | + | 0.243842i | ||||
\(909\) | −4.59140 | + | 1.49840i | −0.152287 | + | 0.0496988i | ||||
\(910\) | −18.1312 | − | 26.9690i | −0.601045 | − | 0.894015i | ||||
\(911\) | −17.6511 | + | 44.9743i | −0.584808 | + | 1.49007i | 0.265675 | + | 0.964063i | \(0.414405\pi\) |
−0.850483 | + | 0.526003i | \(0.823690\pi\) | |||||||
\(912\) | −36.6963 | − | 38.9102i | −1.21514 | − | 1.28845i | ||||
\(913\) | −1.52813 | + | 2.64680i | −0.0505737 | + | 0.0875961i | ||||
\(914\) | −44.6032 | + | 6.72285i | −1.47534 | + | 0.222372i | ||||
\(915\) | −12.7666 | − | 25.9681i | −0.422050 | − | 0.858479i | ||||
\(916\) | 3.02327 | + | 40.3427i | 0.0998916 | + | 1.33296i | ||||
\(917\) | 3.53240 | + | 24.5174i | 0.116650 | + | 0.809635i | ||||
\(918\) | −8.31554 | + | 0.827436i | −0.274454 | + | 0.0273094i | ||||
\(919\) | 17.1763 | + | 21.5384i | 0.566594 | + | 0.710486i | 0.979761 | − | 0.200169i | \(-0.0641491\pi\) |
−0.413168 | + | 0.910655i | \(0.635578\pi\) | |||||||
\(920\) | −14.3027 | − | 9.75142i | −0.471546 | − | 0.321495i | ||||
\(921\) | −2.84657 | − | 5.79012i | −0.0937975 | − | 0.190791i | ||||
\(922\) | 9.61104 | − | 6.55269i | 0.316523 | − | 0.215801i | ||||
\(923\) | 16.5800 | + | 15.3840i | 0.545738 | + | 0.506371i | ||||
\(924\) | 0.786333 | + | 3.41962i | 0.0258685 | + | 0.112497i | ||||
\(925\) | 70.6044 | − | 65.5113i | 2.32146 | − | 2.15400i | ||||
\(926\) | −10.5739 | + | 46.3274i | −0.347481 | + | 1.52241i | ||||
\(927\) | 16.7331 | + | 15.0274i | 0.549587 | + | 0.493565i | ||||
\(928\) | −14.3373 | + | 62.8157i | −0.470644 | + | 2.06202i | ||||
\(929\) | −47.4912 | − | 32.3790i | −1.55814 | − | 1.06232i | −0.966682 | − | 0.255982i | \(-0.917601\pi\) |
−0.591455 | − | 0.806338i | \(-0.701446\pi\) | |||||||
\(930\) | 2.75462 | − | 9.19489i | 0.0903276 | − | 0.301512i | ||||
\(931\) | −29.9864 | + | 36.6139i | −0.982763 | + | 1.19997i | ||||
\(932\) | −11.4710 | + | 19.8683i | −0.375744 | + | 0.650808i | ||||
\(933\) | −4.28150 | − | 26.9198i | −0.140170 | − | 0.881313i | ||||
\(934\) | −19.8285 | + | 6.11629i | −0.648809 | + | 0.200131i | ||||
\(935\) | 1.01133 | − | 1.26817i | 0.0330740 | − | 0.0414735i | ||||
\(936\) | −2.89981 | − | 0.843114i | −0.0947833 | − | 0.0275580i | ||||
\(937\) | 4.84571 | + | 21.2304i | 0.158302 | + | 0.693568i | 0.990318 | + | 0.138816i | \(0.0443298\pi\) |
−0.832016 | + | 0.554752i | \(0.812813\pi\) | |||||||
\(938\) | −4.09787 | − | 3.31179i | −0.133800 | − | 0.108134i | ||||
\(939\) | 9.06035 | − | 5.32963i | 0.295673 | − | 0.173926i | ||||
\(940\) | 43.2092 | − | 29.4596i | 1.40933 | − | 0.960865i | ||||
\(941\) | −22.0431 | − | 6.79941i | −0.718586 | − | 0.221654i | −0.0861667 | − | 0.996281i | \(-0.527462\pi\) |
−0.632419 | + | 0.774626i | \(0.717938\pi\) | |||||||
\(942\) | 27.9174 | − | 22.6370i | 0.909599 | − | 0.737552i | ||||
\(943\) | 16.0047 | − | 40.7792i | 0.521184 | − | 1.32796i | ||||
\(944\) | 42.0811 | − | 20.2652i | 1.36962 | − | 0.659576i | ||||
\(945\) | −55.1563 | − | 15.9398i | −1.79424 | − | 0.518521i | ||||
\(946\) | −0.474703 | − | 0.228605i | −0.0154339 | − | 0.00743259i | ||||
\(947\) | 18.6135 | − | 17.2708i | 0.604857 | − | 0.561225i | −0.317161 | − | 0.948372i | \(-0.602730\pi\) |
0.922018 | + | 0.387146i | \(0.126539\pi\) | |||||||
\(948\) | −19.7875 | − | 15.5186i | −0.642668 | − | 0.504022i | ||||
\(949\) | −2.83819 | + | 4.91589i | −0.0921316 | + | 0.159577i | ||||
\(950\) | 80.4312 | − | 139.311i | 2.60953 | − | 4.51985i | ||||
\(951\) | 2.99695 | − | 21.0423i | 0.0971828 | − | 0.682343i | ||||
\(952\) | −1.13265 | − | 0.915380i | −0.0367095 | − | 0.0296676i | ||||
\(953\) | 11.2387 | − | 14.0929i | 0.364057 | − | 0.456513i | −0.565741 | − | 0.824583i | \(-0.691410\pi\) |
0.929798 | + | 0.368070i | \(0.119981\pi\) | |||||||
\(954\) | −7.87945 | + | 2.57145i | −0.255107 | + | 0.0832538i | ||||
\(955\) | 99.2716 | + | 47.8067i | 3.21235 | + | 1.54699i | ||||
\(956\) | −1.28149 | − | 17.1003i | −0.0414463 | − | 0.553063i | ||||
\(957\) | 3.95662 | + | 5.70317i | 0.127899 | + | 0.184357i | ||||
\(958\) | 4.91663 | + | 12.5274i | 0.158849 | + | 0.404741i | ||||
\(959\) | −52.0076 | − | 20.8030i | −1.67941 | − | 0.671765i | ||||
\(960\) | −34.0131 | + | 13.6691i | −1.09777 | + | 0.441170i | ||||
\(961\) | 15.2593 | + | 26.4299i | 0.492235 | + | 0.852576i | ||||
\(962\) | 22.7702 | 0.734140 | ||||||||
\(963\) | 31.6203 | + | 14.5993i | 1.01895 | + | 0.470456i | ||||
\(964\) | −8.41257 | − | 36.8579i | −0.270951 | − | 1.18711i | ||||
\(965\) | −2.86071 | − | 38.1735i | −0.0920894 | − | 1.22885i | ||||
\(966\) | −12.4373 | − | 54.0874i | −0.400163 | − | 1.74023i | ||||
\(967\) | −1.95362 | + | 26.0692i | −0.0628240 | + | 0.838328i | 0.873418 | + | 0.486972i | \(0.161899\pi\) |
−0.936242 | + | 0.351357i | \(0.885720\pi\) | |||||||
\(968\) | 6.98185 | − | 1.05234i | 0.224405 | − | 0.0338236i | ||||
\(969\) | −7.64857 | + | 6.20187i | −0.245707 | + | 0.199233i | ||||
\(970\) | 5.66094 | − | 5.25258i | 0.181762 | − | 0.168650i | ||||
\(971\) | −6.20215 | − | 2.98680i | −0.199036 | − | 0.0958509i | 0.331711 | − | 0.943381i | \(-0.392374\pi\) |
−0.530747 | + | 0.847530i | \(0.678089\pi\) | |||||||
\(972\) | 23.6519 | − | 10.4103i | 0.758636 | − | 0.333911i | ||||
\(973\) | −0.672186 | + | 2.12987i | −0.0215493 | + | 0.0682804i | ||||
\(974\) | −29.2829 | + | 27.1705i | −0.938283 | + | 0.870600i | ||||
\(975\) | −0.269274 | − | 33.1360i | −0.00862368 | − | 1.06120i | ||||
\(976\) | 6.67529 | + | 17.0084i | 0.213671 | + | 0.544424i | ||||
\(977\) | 24.1207 | + | 22.3807i | 0.771689 | + | 0.716023i | 0.964172 | − | 0.265278i | \(-0.0854636\pi\) |
−0.192483 | + | 0.981300i | \(0.561654\pi\) | |||||||
\(978\) | −8.51689 | − | 3.26301i | −0.272340 | − | 0.104340i | ||||
\(979\) | 0.438771 | + | 0.759973i | 0.0140232 | + | 0.0242888i | ||||
\(980\) | 23.6825 | + | 42.2807i | 0.756511 | + | 1.35061i | ||||
\(981\) | −8.18251 | + | 4.10562i | −0.261248 | + | 0.131082i | ||||
\(982\) | 30.1004 | − | 14.4956i | 0.960542 | − | 0.462573i | ||||
\(983\) | −24.3106 | + | 7.49882i | −0.775387 | + | 0.239175i | −0.657099 | − | 0.753804i | \(-0.728217\pi\) |
−0.118288 | + | 0.992979i | \(0.537740\pi\) | |||||||
\(984\) | 4.47083 | + | 6.44436i | 0.142525 | + | 0.205439i | ||||
\(985\) | −70.4364 | − | 65.3554i | −2.24429 | − | 2.08240i | ||||
\(986\) | 13.3337 | + | 4.11289i | 0.424630 | + | 0.130981i | ||||
\(987\) | −34.2381 | − | 5.10388i | −1.08981 | − | 0.162458i | ||||
\(988\) | 16.4699 | − | 5.08030i | 0.523978 | − | 0.161626i | ||||
\(989\) | 3.40286 | + | 1.63873i | 0.108205 | + | 0.0521087i | ||||
\(990\) | −3.87545 | + | 10.3668i | −0.123170 | + | 0.329479i | ||||
\(991\) | 21.3499 | − | 10.2816i | 0.678202 | − | 0.326605i | −0.0628785 | − | 0.998021i | \(-0.520028\pi\) |
0.741080 | + | 0.671416i | \(0.234314\pi\) | |||||||
\(992\) | −1.88242 | + | 4.79633i | −0.0597670 | + | 0.152284i | ||||
\(993\) | 35.9521 | + | 13.7741i | 1.14091 | + | 0.437107i | ||||
\(994\) | −50.2632 | − | 54.8829i | −1.59425 | − | 1.74078i | ||||
\(995\) | −67.0821 | + | 45.7358i | −2.12665 | + | 1.44992i | ||||
\(996\) | −8.38211 | − | 17.0498i | −0.265597 | − | 0.540244i | ||||
\(997\) | 4.30164 | − | 10.9604i | 0.136234 | − | 0.347120i | −0.846433 | − | 0.532494i | \(-0.821255\pi\) |
0.982668 | + | 0.185375i | \(0.0593499\pi\) | |||||||
\(998\) | 22.6744 | 0.717745 | ||||||||
\(999\) | 30.8311 | − | 25.8413i | 0.975454 | − | 0.817581i |
(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 | 441.2.ba.a.22.10 | ✓ | 648 | |
9.7 | even | 3 | inner | 441.2.ba.a.169.10 | yes | 648 | |
49.29 | even | 7 | inner | 441.2.ba.a.274.10 | yes | 648 | |
441.421 | even | 21 | inner | 441.2.ba.a.421.10 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.ba.a.22.10 | ✓ | 648 | 1.1 | even | 1 | trivial | |
441.2.ba.a.169.10 | yes | 648 | 9.7 | even | 3 | inner | |
441.2.ba.a.274.10 | yes | 648 | 49.29 | even | 7 | inner | |
441.2.ba.a.421.10 | yes | 648 | 441.421 | even | 21 | inner |