Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,6,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), degree \(6\), 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: | \(4.33036313495\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 4.6 | ||
Character | \(\chi\) | \(=\) | 27.4 |
Dual form | 27.6.e.a.7.6 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.14127 | − | 0.415390i | −0.201751 | − | 0.0734313i | 0.239168 | − | 0.970978i | \(-0.423125\pi\) |
−0.440919 | + | 0.897547i | \(0.645347\pi\) | |||||||
\(3\) | −3.98171 | + | 15.0714i | −0.255427 | + | 0.966828i | ||||
\(4\) | −23.3835 | − | 19.6211i | −0.730733 | − | 0.613158i | ||||
\(5\) | 10.2948 | − | 58.3849i | 0.184160 | − | 1.04442i | −0.742871 | − | 0.669435i | \(-0.766536\pi\) |
0.927030 | − | 0.374986i | \(-0.122353\pi\) | |||||||
\(6\) | 10.8047 | − | 15.5466i | 0.122528 | − | 0.176302i | ||||
\(7\) | 144.334 | − | 121.111i | 1.11333 | − | 0.934197i | 0.115084 | − | 0.993356i | \(-0.463286\pi\) |
0.998249 | + | 0.0591588i | \(0.0188418\pi\) | |||||||
\(8\) | 37.9689 | + | 65.7640i | 0.209750 | + | 0.363298i | ||||
\(9\) | −211.292 | − | 120.020i | −0.869514 | − | 0.493908i | ||||
\(10\) | −36.0017 | + | 62.3568i | −0.113847 | + | 0.197190i | ||||
\(11\) | −82.8019 | − | 469.593i | −0.206328 | − | 1.17015i | −0.895336 | − | 0.445392i | \(-0.853064\pi\) |
0.689008 | − | 0.724754i | \(-0.258047\pi\) | |||||||
\(12\) | 388.822 | − | 274.295i | 0.779467 | − | 0.549877i | ||||
\(13\) | −973.203 | + | 354.217i | −1.59715 | + | 0.581314i | −0.978841 | − | 0.204623i | \(-0.934403\pi\) |
−0.618306 | + | 0.785937i | \(0.712181\pi\) | |||||||
\(14\) | −215.033 | + | 78.2658i | −0.293215 | + | 0.106721i | ||||
\(15\) | 838.949 | + | 387.629i | 0.962736 | + | 0.444824i | ||||
\(16\) | 153.604 | + | 871.132i | 0.150004 | + | 0.850715i | ||||
\(17\) | 763.368 | − | 1322.19i | 0.640636 | − | 1.10961i | −0.344655 | − | 0.938730i | \(-0.612004\pi\) |
0.985291 | − | 0.170885i | \(-0.0546627\pi\) | |||||||
\(18\) | 191.287 | + | 224.744i | 0.139157 | + | 0.163496i | ||||
\(19\) | 583.950 | + | 1011.43i | 0.371101 | + | 0.642765i | 0.989735 | − | 0.142914i | \(-0.0456471\pi\) |
−0.618634 | + | 0.785679i | \(0.712314\pi\) | |||||||
\(20\) | −1386.30 | + | 1163.25i | −0.774967 | + | 0.650274i | ||||
\(21\) | 1250.61 | + | 2657.55i | 0.618833 | + | 1.31502i | ||||
\(22\) | −100.564 | + | 570.330i | −0.0442984 | + | 0.251229i | ||||
\(23\) | −2349.13 | − | 1971.15i | −0.925950 | − | 0.776964i | 0.0491358 | − | 0.998792i | \(-0.484353\pi\) |
−0.975086 | + | 0.221828i | \(0.928798\pi\) | |||||||
\(24\) | −1142.33 | + | 310.389i | −0.404823 | + | 0.109996i | ||||
\(25\) | −366.274 | − | 133.313i | −0.117208 | − | 0.0426601i | ||||
\(26\) | 1257.83 | 0.364912 | ||||||||
\(27\) | 2650.16 | − | 2706.57i | 0.699621 | − | 0.714514i | ||||
\(28\) | −5751.36 | −1.38636 | ||||||||
\(29\) | 4051.77 | + | 1474.72i | 0.894643 | + | 0.325623i | 0.748104 | − | 0.663581i | \(-0.230964\pi\) |
0.146539 | + | 0.989205i | \(0.453187\pi\) | |||||||
\(30\) | −796.454 | − | 790.882i | −0.161569 | − | 0.160438i | ||||
\(31\) | −422.549 | − | 354.561i | −0.0789719 | − | 0.0662653i | 0.602447 | − | 0.798159i | \(-0.294192\pi\) |
−0.681419 | + | 0.731893i | \(0.738637\pi\) | |||||||
\(32\) | 608.521 | − | 3451.10i | 0.105051 | − | 0.595775i | ||||
\(33\) | 7407.10 | + | 621.846i | 1.18403 | + | 0.0994026i | ||||
\(34\) | −1420.44 | + | 1191.89i | −0.210729 | + | 0.176823i | ||||
\(35\) | −5585.15 | − | 9673.77i | −0.770664 | − | 1.33483i | ||||
\(36\) | 2585.83 | + | 6952.25i | 0.332539 | + | 0.894065i | ||||
\(37\) | −402.555 | + | 697.246i | −0.0483416 | + | 0.0837302i | −0.889184 | − | 0.457550i | \(-0.848727\pi\) |
0.840842 | + | 0.541281i | \(0.182060\pi\) | |||||||
\(38\) | −246.309 | − | 1396.89i | −0.0276708 | − | 0.156929i | ||||
\(39\) | −1463.52 | − | 16077.9i | −0.154077 | − | 1.69265i | ||||
\(40\) | 4230.51 | − | 1539.78i | 0.418064 | − | 0.152163i | ||||
\(41\) | 1031.49 | − | 375.433i | 0.0958313 | − | 0.0348797i | −0.293660 | − | 0.955910i | \(-0.594873\pi\) |
0.389491 | + | 0.921030i | \(0.372651\pi\) | |||||||
\(42\) | −323.371 | − | 3552.48i | −0.0282864 | − | 0.310748i | ||||
\(43\) | 569.492 | + | 3229.75i | 0.0469696 | + | 0.266378i | 0.999245 | − | 0.0388640i | \(-0.0123739\pi\) |
−0.952275 | + | 0.305242i | \(0.901263\pi\) | |||||||
\(44\) | −7277.71 | + | 12605.4i | −0.566713 | + | 0.981576i | ||||
\(45\) | −9182.55 | + | 11100.7i | −0.675977 | + | 0.817181i | ||||
\(46\) | 1862.20 | + | 3225.43i | 0.129758 | + | 0.224747i | ||||
\(47\) | −7109.81 | + | 5965.84i | −0.469476 | + | 0.393937i | −0.846603 | − | 0.532224i | \(-0.821356\pi\) |
0.377127 | + | 0.926161i | \(0.376912\pi\) | |||||||
\(48\) | −13740.8 | − | 1153.57i | −0.860810 | − | 0.0722673i | ||||
\(49\) | 3246.06 | − | 18409.3i | 0.193137 | − | 1.09534i | ||||
\(50\) | 362.642 | + | 304.293i | 0.0205142 | + | 0.0172134i | ||||
\(51\) | 16887.7 | + | 16769.6i | 0.909171 | + | 0.902811i | ||||
\(52\) | 29707.0 | + | 10812.4i | 1.52353 | + | 0.554518i | ||||
\(53\) | 30203.0 | 1.47693 | 0.738466 | − | 0.674291i | \(-0.235551\pi\) | ||||
0.738466 | + | 0.674291i | \(0.235551\pi\) | |||||||
\(54\) | −4148.85 | + | 1988.09i | −0.193617 | + | 0.0927796i | ||||
\(55\) | −28269.6 | −1.26012 | ||||||||
\(56\) | 13445.0 | + | 4893.56i | 0.572914 | + | 0.208524i | ||||
\(57\) | −17568.8 | + | 4773.70i | −0.716233 | + | 0.194611i | ||||
\(58\) | −4011.60 | − | 3366.13i | −0.156584 | − | 0.131390i | ||||
\(59\) | −3368.53 | + | 19103.9i | −0.125983 | + | 0.714482i | 0.854737 | + | 0.519061i | \(0.173718\pi\) |
−0.980719 | + | 0.195421i | \(0.937393\pi\) | |||||||
\(60\) | −12011.8 | − | 25525.2i | −0.430756 | − | 0.915357i | ||||
\(61\) | 5477.70 | − | 4596.34i | 0.188484 | − | 0.158157i | −0.543663 | − | 0.839304i | \(-0.682963\pi\) |
0.732147 | + | 0.681147i | \(0.238519\pi\) | |||||||
\(62\) | 334.963 | + | 580.174i | 0.0110667 | + | 0.0191681i | ||||
\(63\) | −45032.4 | + | 8266.81i | −1.42947 | + | 0.262414i | ||||
\(64\) | 12025.1 | − | 20828.1i | 0.366977 | − | 0.635622i | ||||
\(65\) | 10662.0 | + | 60466.9i | 0.313007 | + | 1.77515i | ||||
\(66\) | −8195.22 | − | 3786.53i | −0.231580 | − | 0.106999i | ||||
\(67\) | 25059.4 | − | 9120.89i | 0.682000 | − | 0.248228i | 0.0222937 | − | 0.999751i | \(-0.492903\pi\) |
0.659706 | + | 0.751524i | \(0.270681\pi\) | |||||||
\(68\) | −43793.0 | + | 15939.3i | −1.14850 | + | 0.418021i | ||||
\(69\) | 39061.5 | − | 27556.0i | 0.987704 | − | 0.696777i | ||||
\(70\) | 2355.81 | + | 13360.4i | 0.0574638 | + | 0.325894i | ||||
\(71\) | 31839.2 | − | 55147.1i | 0.749576 | − | 1.29830i | −0.198450 | − | 0.980111i | \(-0.563591\pi\) |
0.948026 | − | 0.318193i | \(-0.103076\pi\) | |||||||
\(72\) | −129.545 | − | 18452.4i | −0.00294502 | − | 0.419490i | ||||
\(73\) | −3442.85 | − | 5963.19i | −0.0756155 | − | 0.130970i | 0.825738 | − | 0.564053i | \(-0.190759\pi\) |
−0.901354 | + | 0.433084i | \(0.857425\pi\) | |||||||
\(74\) | 749.055 | − | 628.532i | 0.0159014 | − | 0.0133428i | ||||
\(75\) | 3467.60 | − | 4989.44i | 0.0711830 | − | 0.102423i | ||||
\(76\) | 6190.58 | − | 35108.5i | 0.122941 | − | 0.697234i | ||||
\(77\) | −68824.0 | − | 57750.2i | −1.32286 | − | 1.11001i | ||||
\(78\) | −5008.31 | + | 18957.2i | −0.0932084 | + | 0.352807i | ||||
\(79\) | 28197.5 | + | 10263.1i | 0.508327 | + | 0.185016i | 0.583436 | − | 0.812159i | \(-0.301708\pi\) |
−0.0751083 | + | 0.997175i | \(0.523930\pi\) | |||||||
\(80\) | 52442.3 | 0.916129 | ||||||||
\(81\) | 30239.6 | + | 50718.4i | 0.512110 | + | 0.858920i | ||||
\(82\) | −1333.17 | −0.0218953 | ||||||||
\(83\) | −30835.2 | − | 11223.1i | −0.491305 | − | 0.178820i | 0.0844743 | − | 0.996426i | \(-0.473079\pi\) |
−0.575779 | + | 0.817605i | \(0.695301\pi\) | |||||||
\(84\) | 22900.3 | − | 86680.9i | 0.354113 | − | 1.34037i | ||||
\(85\) | −69337.3 | − | 58180.9i | −1.04093 | − | 0.873440i | ||||
\(86\) | 691.659 | − | 3922.59i | 0.0100843 | − | 0.0571909i | ||||
\(87\) | −38359.1 | + | 55193.8i | −0.543338 | + | 0.781793i | ||||
\(88\) | 27738.4 | − | 23275.3i | 0.381834 | − | 0.320397i | ||||
\(89\) | −3365.35 | − | 5828.97i | −0.0450356 | − | 0.0780039i | 0.842629 | − | 0.538495i | \(-0.181007\pi\) |
−0.887665 | + | 0.460491i | \(0.847673\pi\) | |||||||
\(90\) | 15090.9 | − | 8854.58i | 0.196385 | − | 0.115229i | ||||
\(91\) | −97567.1 | + | 168991.i | −1.23509 | + | 2.13925i | ||||
\(92\) | 16254.7 | + | 92184.8i | 0.200221 | + | 1.13551i | ||||
\(93\) | 7026.18 | − | 4956.63i | 0.0842388 | − | 0.0594264i | ||||
\(94\) | 10592.4 | − | 3855.32i | 0.123644 | − | 0.0450029i | ||||
\(95\) | 65064.0 | − | 23681.4i | 0.739659 | − | 0.269214i | ||||
\(96\) | 49589.8 | + | 22912.5i | 0.549179 | + | 0.253743i | ||||
\(97\) | 7581.34 | + | 42995.9i | 0.0818119 | + | 0.463979i | 0.997999 | + | 0.0632279i | \(0.0201395\pi\) |
−0.916187 | + | 0.400751i | \(0.868749\pi\) | |||||||
\(98\) | −11351.7 | + | 19661.7i | −0.119397 | + | 0.206802i | ||||
\(99\) | −38865.0 | + | 109159.i | −0.398539 | + | 1.11937i | ||||
\(100\) | 5949.02 | + | 10304.0i | 0.0594902 | + | 0.103040i | ||||
\(101\) | 28927.6 | − | 24273.2i | 0.282169 | − | 0.236768i | −0.490707 | − | 0.871324i | \(-0.663262\pi\) |
0.772877 | + | 0.634556i | \(0.218817\pi\) | |||||||
\(102\) | −12307.6 | − | 26153.7i | −0.117131 | − | 0.248904i | ||||
\(103\) | 3306.62 | − | 18752.8i | 0.0307108 | − | 0.174170i | −0.965594 | − | 0.260053i | \(-0.916260\pi\) |
0.996305 | + | 0.0858830i | \(0.0273711\pi\) | |||||||
\(104\) | −60246.1 | − | 50552.5i | −0.546192 | − | 0.458310i | ||||
\(105\) | 168035. | − | 45657.7i | 1.48740 | − | 0.404149i | ||||
\(106\) | −34469.9 | − | 12546.0i | −0.297972 | − | 0.108453i | ||||
\(107\) | −48395.2 | −0.408642 | −0.204321 | − | 0.978904i | \(-0.565499\pi\) | ||||
−0.204321 | + | 0.978904i | \(0.565499\pi\) | |||||||
\(108\) | −115076. | + | 11290.1i | −0.949346 | + | 0.0931404i | ||||
\(109\) | −30446.4 | −0.245453 | −0.122727 | − | 0.992441i | \(-0.539164\pi\) | ||||
−0.122727 | + | 0.992441i | \(0.539164\pi\) | |||||||
\(110\) | 32263.3 | + | 11742.9i | 0.254230 | + | 0.0925323i | ||||
\(111\) | −8905.59 | − | 8843.29i | −0.0686049 | − | 0.0681250i | ||||
\(112\) | 127674. | + | 107131.i | 0.961739 | + | 0.806995i | ||||
\(113\) | −3048.47 | + | 17288.7i | −0.0224588 | + | 0.127370i | −0.993976 | − | 0.109600i | \(-0.965043\pi\) |
0.971517 | + | 0.236970i | \(0.0761542\pi\) | |||||||
\(114\) | 22033.7 | + | 1849.79i | 0.158791 | + | 0.0133309i | ||||
\(115\) | −139270. | + | 116861.i | −0.982000 | + | 0.823996i | ||||
\(116\) | −65808.8 | − | 113984.i | −0.454087 | − | 0.786502i | ||||
\(117\) | 248143. | + | 41960.3i | 1.67586 | + | 0.283383i | ||||
\(118\) | 11780.0 | − | 20403.5i | 0.0778824 | − | 0.134896i | ||||
\(119\) | −49951.7 | − | 283290.i | −0.323357 | − | 1.83385i | ||||
\(120\) | 6361.91 | + | 69890.5i | 0.0403306 | + | 0.443062i | ||||
\(121\) | −62323.0 | + | 22683.7i | −0.386977 | + | 0.140848i | ||||
\(122\) | −8160.83 | + | 2970.30i | −0.0496404 | + | 0.0180676i | ||||
\(123\) | 1551.18 | + | 17040.9i | 0.00924483 | + | 0.101562i | ||||
\(124\) | 2923.80 | + | 16581.7i | 0.0170763 | + | 0.0968446i | ||||
\(125\) | 81079.5 | − | 140434.i | 0.464126 | − | 0.803890i | ||||
\(126\) | 54828.3 | + | 9271.31i | 0.307665 | + | 0.0520253i | ||||
\(127\) | −114643. | − | 198567.i | −0.630722 | − | 1.09244i | −0.987404 | − | 0.158217i | \(-0.949425\pi\) |
0.356682 | − | 0.934226i | \(-0.383908\pi\) | |||||||
\(128\) | −108279. | + | 90856.8i | −0.584143 | + | 0.490154i | ||||
\(129\) | −50944.3 | − | 4276.91i | −0.269539 | − | 0.0226285i | ||||
\(130\) | 12949.1 | − | 73438.2i | 0.0672021 | − | 0.381122i | ||||
\(131\) | −39864.7 | − | 33450.5i | −0.202960 | − | 0.170304i | 0.535643 | − | 0.844445i | \(-0.320069\pi\) |
−0.738602 | + | 0.674141i | \(0.764514\pi\) | |||||||
\(132\) | −161002. | − | 159876.i | −0.804262 | − | 0.798635i | ||||
\(133\) | 206780. | + | 75261.6i | 1.01363 | + | 0.368930i | ||||
\(134\) | −32388.4 | −0.155822 | ||||||||
\(135\) | −130740. | − | 182593.i | −0.617411 | − | 0.862284i | ||||
\(136\) | 115937. | 0.537495 | ||||||||
\(137\) | 118482. | + | 43123.9i | 0.539325 | + | 0.196298i | 0.597297 | − | 0.802020i | \(-0.296241\pi\) |
−0.0579720 | + | 0.998318i | \(0.518463\pi\) | |||||||
\(138\) | −56026.4 | + | 15223.2i | −0.250435 | + | 0.0680470i | ||||
\(139\) | −75869.5 | − | 63662.0i | −0.333066 | − | 0.279475i | 0.460882 | − | 0.887461i | \(-0.347533\pi\) |
−0.793948 | + | 0.607986i | \(0.791978\pi\) | |||||||
\(140\) | −59209.3 | + | 335793.i | −0.255311 | + | 1.44794i | ||||
\(141\) | −61604.1 | − | 130909.i | −0.260953 | − | 0.554525i | ||||
\(142\) | −59244.8 | + | 49712.3i | −0.246564 | + | 0.206891i | ||||
\(143\) | 246921. | + | 427679.i | 1.00976 | + | 1.74895i | ||||
\(144\) | 72097.6 | − | 202499.i | 0.289744 | − | 0.813797i | ||||
\(145\) | 127814. | − | 221380.i | 0.504845 | − | 0.874417i | ||||
\(146\) | 1452.19 | + | 8235.76i | 0.00563820 | + | 0.0319758i | ||||
\(147\) | 264529. | + | 122223.i | 1.00967 | + | 0.466509i | ||||
\(148\) | 23093.8 | − | 8405.47i | 0.0866647 | − | 0.0315434i | ||||
\(149\) | 410143. | − | 149280.i | 1.51346 | − | 0.550853i | 0.553952 | − | 0.832549i | \(-0.313119\pi\) |
0.959504 | + | 0.281696i | \(0.0908970\pi\) | |||||||
\(150\) | −6030.05 | + | 4253.91i | −0.0218823 | + | 0.0154369i | ||||
\(151\) | −68787.5 | − | 390113.i | −0.245509 | − | 1.39235i | −0.819308 | − | 0.573354i | \(-0.805642\pi\) |
0.573799 | − | 0.818996i | \(-0.305469\pi\) | |||||||
\(152\) | −44343.9 | + | 76805.8i | −0.155677 | + | 0.269640i | ||||
\(153\) | −319982. | + | 187749.i | −1.10509 | + | 0.648410i | ||||
\(154\) | 54558.2 | + | 94497.7i | 0.185378 | + | 0.321084i | ||||
\(155\) | −25051.1 | + | 21020.3i | −0.0837523 | + | 0.0702766i | ||||
\(156\) | −281243. | + | 404672.i | −0.925273 | + | 1.33135i | ||||
\(157\) | −84548.7 | + | 479500.i | −0.273752 | + | 1.55253i | 0.469145 | + | 0.883121i | \(0.344562\pi\) |
−0.742897 | + | 0.669406i | \(0.766549\pi\) | |||||||
\(158\) | −27918.0 | − | 23425.9i | −0.0889694 | − | 0.0746542i | ||||
\(159\) | −120260. | + | 455200.i | −0.377248 | + | 1.42794i | ||||
\(160\) | −195227. | − | 71056.9i | −0.602893 | − | 0.219435i | ||||
\(161\) | −577789. | −1.75673 | ||||||||
\(162\) | −13443.8 | − | 70444.8i | −0.0402470 | − | 0.210893i | ||||
\(163\) | 230832. | 0.680498 | 0.340249 | − | 0.940335i | \(-0.389489\pi\) | ||||
0.340249 | + | 0.940335i | \(0.389489\pi\) | |||||||
\(164\) | −31486.3 | − | 11460.1i | −0.0914139 | − | 0.0332719i | ||||
\(165\) | 112561. | − | 426061.i | 0.321869 | − | 1.21832i | ||||
\(166\) | 30529.4 | + | 25617.2i | 0.0859901 | + | 0.0721542i | ||||
\(167\) | −43705.6 | + | 247867.i | −0.121268 | + | 0.687744i | 0.862187 | + | 0.506590i | \(0.169094\pi\) |
−0.983455 | + | 0.181154i | \(0.942017\pi\) | |||||||
\(168\) | −127287. | + | 183149.i | −0.347944 | + | 0.500647i | ||||
\(169\) | 537227. | − | 450787.i | 1.44691 | − | 1.21410i | ||||
\(170\) | 54965.1 | + | 95202.4i | 0.145870 | + | 0.252654i | ||||
\(171\) | −1992.36 | − | 283793.i | −0.00521048 | − | 0.742183i | ||||
\(172\) | 50054.4 | − | 86696.8i | 0.129009 | − | 0.223451i | ||||
\(173\) | 21902.6 | + | 124216.i | 0.0556391 | + | 0.315545i | 0.999907 | − | 0.0136327i | \(-0.00433956\pi\) |
−0.944268 | + | 0.329178i | \(0.893228\pi\) | |||||||
\(174\) | 66705.2 | − | 47057.3i | 0.167027 | − | 0.117829i | ||||
\(175\) | −69011.6 | + | 25118.2i | −0.170344 | + | 0.0620002i | ||||
\(176\) | 396359. | − | 144263.i | 0.964510 | − | 0.351053i | ||||
\(177\) | −274509. | − | 126834.i | −0.658602 | − | 0.304301i | ||||
\(178\) | 1419.50 | + | 8050.38i | 0.00335804 | + | 0.0190444i | ||||
\(179\) | −198810. | + | 344349.i | −0.463773 | + | 0.803278i | −0.999145 | − | 0.0413381i | \(-0.986838\pi\) |
0.535372 | + | 0.844616i | \(0.320171\pi\) | |||||||
\(180\) | 432527. | − | 79401.0i | 0.995020 | − | 0.182661i | ||||
\(181\) | 422654. | + | 732059.i | 0.958935 | + | 1.66092i | 0.725096 | + | 0.688648i | \(0.241795\pi\) |
0.233839 | + | 0.972275i | \(0.424871\pi\) | |||||||
\(182\) | 181548. | − | 152337.i | 0.406269 | − | 0.340900i | ||||
\(183\) | 47462.4 | + | 100858.i | 0.104766 | + | 0.222629i | ||||
\(184\) | 40437.2 | − | 229331.i | 0.0880514 | − | 0.499364i | ||||
\(185\) | 36564.4 | + | 30681.2i | 0.0785470 | + | 0.0659087i | ||||
\(186\) | −10077.7 | + | 2738.27i | −0.0213590 | + | 0.00580355i | ||||
\(187\) | −684100. | − | 248992.i | −1.43059 | − | 0.520693i | ||||
\(188\) | 283308. | 0.584608 | ||||||||
\(189\) | 54713.9 | − | 711616.i | 0.111415 | − | 1.44908i | ||||
\(190\) | −84092.9 | −0.168996 | ||||||||
\(191\) | −515731. | − | 187711.i | −1.02291 | − | 0.372311i | −0.224536 | − | 0.974466i | \(-0.572087\pi\) |
−0.798379 | + | 0.602155i | \(0.794309\pi\) | |||||||
\(192\) | 266027. | + | 264166.i | 0.520802 | + | 0.517158i | ||||
\(193\) | 63765.8 | + | 53505.8i | 0.123224 | + | 0.103397i | 0.702317 | − | 0.711864i | \(-0.252149\pi\) |
−0.579093 | + | 0.815261i | \(0.696593\pi\) | |||||||
\(194\) | 9207.68 | − | 52219.4i | 0.0175649 | − | 0.0996156i | ||||
\(195\) | −953772. | − | 80071.7i | −1.79621 | − | 0.150797i | ||||
\(196\) | −437114. | + | 366782.i | −0.812746 | + | 0.681975i | ||||
\(197\) | −273058. | − | 472951.i | −0.501291 | − | 0.868262i | −0.999999 | − | 0.00149151i | \(-0.999525\pi\) |
0.498708 | − | 0.866770i | \(-0.333808\pi\) | |||||||
\(198\) | 89699.2 | − | 108436.i | 0.162602 | − | 0.196568i | ||||
\(199\) | 332592. | − | 576065.i | 0.595358 | − | 1.03119i | −0.398138 | − | 0.917326i | \(-0.630343\pi\) |
0.993496 | − | 0.113865i | \(-0.0363233\pi\) | |||||||
\(200\) | −5139.82 | − | 29149.4i | −0.00908601 | − | 0.0515293i | ||||
\(201\) | 37684.8 | + | 413996.i | 0.0657924 | + | 0.722781i | ||||
\(202\) | −43097.2 | + | 15686.1i | −0.0743140 | + | 0.0270481i | ||||
\(203\) | 763415. | − | 277860.i | 1.30023 | − | 0.473246i | ||||
\(204\) | −65856.6 | − | 723486.i | −0.110796 | − | 1.21718i | ||||
\(205\) | −11300.6 | − | 64088.7i | −0.0187809 | − | 0.106512i | ||||
\(206\) | −11563.5 | + | 20028.5i | −0.0189854 | + | 0.0328838i | ||||
\(207\) | 259775. | + | 698431.i | 0.421378 | + | 1.13292i | ||||
\(208\) | −458057. | − | 793379.i | −0.734111 | − | 1.27152i | ||||
\(209\) | 426609. | − | 357967.i | 0.675561 | − | 0.566863i | ||||
\(210\) | −210740. | − | 17692.2i | −0.329761 | − | 0.0276843i | ||||
\(211\) | −118608. | + | 672660.i | −0.183404 | + | 1.04013i | 0.744585 | + | 0.667527i | \(0.232647\pi\) |
−0.927989 | + | 0.372607i | \(0.878464\pi\) | |||||||
\(212\) | −706251. | − | 592615.i | −1.07924 | − | 0.905593i | ||||
\(213\) | 704367. | + | 699439.i | 1.06378 | + | 1.05633i | ||||
\(214\) | 55232.3 | + | 20102.9i | 0.0824439 | + | 0.0300071i | ||||
\(215\) | 194431. | 0.286860 | ||||||||
\(216\) | 278619. | + | 71519.8i | 0.406327 | + | 0.104302i | ||||
\(217\) | −103930. | −0.149827 | ||||||||
\(218\) | 34747.7 | + | 12647.1i | 0.0495204 | + | 0.0180240i | ||||
\(219\) | 103582. | − | 28144.7i | 0.145940 | − | 0.0396540i | ||||
\(220\) | 661041. | + | 554679.i | 0.920813 | + | 0.772654i | ||||
\(221\) | −274569. | + | 1.55716e6i | −0.378156 | + | 2.14463i | ||||
\(222\) | 6490.31 | + | 13791.9i | 0.00883859 | + | 0.0187820i | ||||
\(223\) | −472369. | + | 396365.i | −0.636091 | + | 0.533744i | −0.902815 | − | 0.430029i | \(-0.858503\pi\) |
0.266724 | + | 0.963773i | \(0.414059\pi\) | |||||||
\(224\) | −330135. | − | 571811.i | −0.439614 | − | 0.761434i | ||||
\(225\) | 61390.6 | + | 72128.0i | 0.0808436 | + | 0.0949834i | ||||
\(226\) | 10660.7 | − | 18464.9i | 0.0138840 | − | 0.0240478i | ||||
\(227\) | −192318. | − | 1.09069e6i | −0.247717 | − | 1.40487i | −0.814098 | − | 0.580728i | \(-0.802768\pi\) |
0.566381 | − | 0.824143i | \(-0.308343\pi\) | |||||||
\(228\) | 504484. | + | 233092.i | 0.642703 | + | 0.296955i | ||||
\(229\) | −314496. | + | 114467.i | −0.396303 | + | 0.144242i | −0.532481 | − | 0.846442i | \(-0.678740\pi\) |
0.136178 | + | 0.990684i | \(0.456518\pi\) | |||||||
\(230\) | 207488. | − | 75519.4i | 0.258626 | − | 0.0941323i | ||||
\(231\) | 1.14441e6 | − | 807327.i | 1.41108 | − | 0.995451i | ||||
\(232\) | 56857.4 | + | 322454.i | 0.0693533 | + | 0.393322i | ||||
\(233\) | −753158. | + | 1.30451e6i | −0.908858 | + | 1.57419i | −0.0932059 | + | 0.995647i | \(0.529711\pi\) |
−0.815653 | + | 0.578542i | \(0.803622\pi\) | |||||||
\(234\) | −265769. | − | 150964.i | −0.317296 | − | 0.180233i | ||||
\(235\) | 275121. | + | 476523.i | 0.324978 | + | 0.562878i | ||||
\(236\) | 453606. | − | 380621.i | 0.530150 | − | 0.444849i | ||||
\(237\) | −266953. | + | 384111.i | −0.308719 | + | 0.444207i | ||||
\(238\) | −60667.3 | + | 344061.i | −0.0694244 | + | 0.393725i | ||||
\(239\) | −253911. | − | 213056.i | −0.287532 | − | 0.241268i | 0.487600 | − | 0.873067i | \(-0.337872\pi\) |
−0.775132 | + | 0.631799i | \(0.782317\pi\) | |||||||
\(240\) | −208810. | + | 790377.i | −0.234004 | + | 0.885739i | ||||
\(241\) | 552766. | + | 201190.i | 0.613054 | + | 0.223133i | 0.629839 | − | 0.776726i | \(-0.283121\pi\) |
−0.0167852 | + | 0.999859i | \(0.505343\pi\) | |||||||
\(242\) | 80550.2 | 0.0884155 | ||||||||
\(243\) | −884800. | + | 253806.i | −0.961235 | + | 0.275731i | ||||
\(244\) | −218273. | −0.234706 | ||||||||
\(245\) | −1.04141e6 | − | 379042.i | −1.10842 | − | 0.403433i | ||||
\(246\) | 5308.30 | − | 20092.7i | 0.00559265 | − | 0.0211690i | ||||
\(247\) | −926568. | − | 777483.i | −0.966351 | − | 0.810865i | ||||
\(248\) | 7273.62 | − | 41250.8i | 0.00750968 | − | 0.0425895i | ||||
\(249\) | 291924. | − | 420041.i | 0.298381 | − | 0.429332i | ||||
\(250\) | −150869. | + | 126594.i | −0.152669 | + | 0.128104i | ||||
\(251\) | 258960. | + | 448532.i | 0.259447 | + | 0.449375i | 0.966094 | − | 0.258191i | \(-0.0831264\pi\) |
−0.706647 | + | 0.707566i | \(0.749793\pi\) | |||||||
\(252\) | 1.21522e6 | + | 690277.i | 1.20546 | + | 0.684734i | ||||
\(253\) | −731128. | + | 1.26635e6i | −0.718112 | + | 1.24381i | ||||
\(254\) | 48356.2 | + | 274241.i | 0.0470292 | + | 0.266716i | ||||
\(255\) | 1.15295e6 | − | 813348.i | 1.11035 | − | 0.783296i | ||||
\(256\) | −561876. | + | 204506.i | −0.535846 | + | 0.195032i | ||||
\(257\) | 1.25395e6 | − | 456401.i | 1.18426 | − | 0.431036i | 0.326557 | − | 0.945177i | \(-0.394111\pi\) |
0.857706 | + | 0.514141i | \(0.171889\pi\) | |||||||
\(258\) | 56364.8 | + | 26042.9i | 0.0527180 | + | 0.0243579i | ||||
\(259\) | 26341.6 | + | 149391.i | 0.0244001 | + | 0.138380i | ||||
\(260\) | 937112. | − | 1.62313e6i | 0.859722 | − | 1.48908i | ||||
\(261\) | −679111. | − | 797889.i | −0.617077 | − | 0.725006i | ||||
\(262\) | 31601.6 | + | 54735.5i | 0.0284417 | + | 0.0492625i | ||||
\(263\) | −1.15558e6 | + | 969650.i | −1.03018 | + | 0.864422i | −0.990872 | − | 0.134805i | \(-0.956959\pi\) |
−0.0393057 | + | 0.999227i | \(0.512515\pi\) | |||||||
\(264\) | 240344. | + | 510731.i | 0.212238 | + | 0.451006i | ||||
\(265\) | 310935. | − | 1.76340e6i | 0.271991 | − | 1.54254i | ||||
\(266\) | −204729. | − | 171788.i | −0.177409 | − | 0.148864i | ||||
\(267\) | 101250. | − | 27511.2i | 0.0869197 | − | 0.0236174i | ||||
\(268\) | −764938. | − | 278415.i | −0.650562 | − | 0.236785i | ||||
\(269\) | 588362. | 0.495751 | 0.247876 | − | 0.968792i | \(-0.420268\pi\) | ||||
0.247876 | + | 0.968792i | \(0.420268\pi\) | |||||||
\(270\) | 73362.9 | + | 262697.i | 0.0612445 | + | 0.219304i | ||||
\(271\) | 818157. | 0.676727 | 0.338363 | − | 0.941016i | \(-0.390127\pi\) | ||||
0.338363 | + | 0.941016i | \(0.390127\pi\) | |||||||
\(272\) | 1.26906e6 | + | 461900.i | 1.04006 | + | 0.378552i | ||||
\(273\) | −2.15844e6 | − | 2.14334e6i | −1.75281 | − | 1.74054i | ||||
\(274\) | −117307. | − | 98432.4i | −0.0943949 | − | 0.0792067i | ||||
\(275\) | −32274.6 | + | 183038.i | −0.0257353 | + | 0.145952i | ||||
\(276\) | −1.45407e6 | − | 122073.i | −1.14898 | − | 0.0964602i | ||||
\(277\) | 1.73274e6 | − | 1.45394e6i | 1.35686 | − | 1.13854i | 0.379915 | − | 0.925021i | \(-0.375953\pi\) |
0.976940 | − | 0.213515i | \(-0.0684913\pi\) | |||||||
\(278\) | 60143.3 | + | 104171.i | 0.0466740 | + | 0.0808418i | ||||
\(279\) | 46727.0 | + | 125630.i | 0.0359383 | + | 0.0966235i | ||||
\(280\) | 424124. | − | 734604.i | 0.323294 | − | 0.559962i | ||||
\(281\) | 148036. | + | 839552.i | 0.111841 | + | 0.634281i | 0.988266 | + | 0.152743i | \(0.0488106\pi\) |
−0.876425 | + | 0.481538i | \(0.840078\pi\) | |||||||
\(282\) | 15929.0 | + | 174993.i | 0.0119280 | + | 0.131038i | ||||
\(283\) | 2.19061e6 | − | 797317.i | 1.62592 | − | 0.591786i | 0.641422 | − | 0.767188i | \(-0.278345\pi\) |
0.984497 | + | 0.175402i | \(0.0561225\pi\) | |||||||
\(284\) | −1.82655e6 | + | 664811.i | −1.34381 | + | 0.489105i | ||||
\(285\) | 97844.3 | + | 1.07490e6i | 0.0713548 | + | 0.783888i | ||||
\(286\) | −104151. | − | 590668.i | −0.0752917 | − | 0.427000i | ||||
\(287\) | 103411. | − | 179113.i | 0.0741075 | − | 0.128358i | ||||
\(288\) | −542775. | + | 656154.i | −0.385601 | + | 0.466149i | ||||
\(289\) | −455532. | − | 789005.i | −0.320830 | − | 0.555693i | ||||
\(290\) | −237830. | + | 199563.i | −0.166062 | + | 0.139343i | ||||
\(291\) | −678194. | − | 56936.2i | −0.469485 | − | 0.0394145i | ||||
\(292\) | −36498.3 | + | 206992.i | −0.0250505 | + | 0.142068i | ||||
\(293\) | −1.93639e6 | − | 1.62483e6i | −1.31772 | − | 1.10570i | −0.986783 | − | 0.162049i | \(-0.948190\pi\) |
−0.330940 | − | 0.943652i | \(-0.607366\pi\) | |||||||
\(294\) | −251129. | − | 249373.i | −0.169445 | − | 0.168260i | ||||
\(295\) | 1.08070e6 | + | 393343.i | 0.723019 | + | 0.263158i | ||||
\(296\) | −61138.3 | −0.0405587 | ||||||||
\(297\) | −1.49043e6 | − | 1.02039e6i | −0.980437 | − | 0.671235i | ||||
\(298\) | −530095. | −0.345790 | ||||||||
\(299\) | 2.98440e6 | + | 1.08623e6i | 1.93054 | + | 0.702659i | ||||
\(300\) | −178983. | + | 48632.3i | −0.114817 | + | 0.0311976i | ||||
\(301\) | 473356. | + | 397192.i | 0.301142 | + | 0.252688i | ||||
\(302\) | −83543.7 | + | 473800.i | −0.0527104 | + | 0.298936i | ||||
\(303\) | 250648. | + | 532628.i | 0.156840 | + | 0.333286i | ||||
\(304\) | −791393. | + | 664058.i | −0.491143 | + | 0.412118i | ||||
\(305\) | −211965. | − | 367134.i | −0.130471 | − | 0.225982i | ||||
\(306\) | 443177. | − | 81356.1i | 0.270566 | − | 0.0496691i | ||||
\(307\) | −1.38292e6 | + | 2.39528e6i | −0.837433 | + | 1.45048i | 0.0546015 | + | 0.998508i | \(0.482611\pi\) |
−0.892034 | + | 0.451968i | \(0.850722\pi\) | |||||||
\(308\) | 476224. | + | 2.70080e6i | 0.286045 | + | 1.62224i | ||||
\(309\) | 269464. | + | 124504.i | 0.160548 | + | 0.0741798i | ||||
\(310\) | 37321.8 | − | 13584.0i | 0.0220576 | − | 0.00802831i | ||||
\(311\) | 1.67857e6 | − | 610950.i | 0.984098 | − | 0.358183i | 0.200666 | − | 0.979660i | \(-0.435689\pi\) |
0.783432 | + | 0.621477i | \(0.213467\pi\) | |||||||
\(312\) | 1.00178e6 | − | 706705.i | 0.582619 | − | 0.411010i | ||||
\(313\) | 253971. | + | 1.44034e6i | 0.146529 | + | 0.831006i | 0.966127 | + | 0.258067i | \(0.0830856\pi\) |
−0.819598 | + | 0.572939i | \(0.805803\pi\) | |||||||
\(314\) | 295673. | − | 512120.i | 0.169234 | − | 0.293121i | ||||
\(315\) | 19055.8 | + | 2.71432e6i | 0.0108206 | + | 1.54129i | ||||
\(316\) | −457984. | − | 793251.i | −0.258008 | − | 0.446882i | ||||
\(317\) | −1.73064e6 | + | 1.45218e6i | −0.967293 | + | 0.811656i | −0.982124 | − | 0.188234i | \(-0.939724\pi\) |
0.0148307 | + | 0.999890i | \(0.495279\pi\) | |||||||
\(318\) | 326335. | − | 469554.i | 0.180965 | − | 0.260386i | ||||
\(319\) | 357026. | − | 2.02479e6i | 0.196437 | − | 1.11405i | ||||
\(320\) | −1.09225e6 | − | 916505.i | −0.596275 | − | 0.500334i | ||||
\(321\) | 192696. | − | 729382.i | 0.104378 | − | 0.395087i | ||||
\(322\) | 659416. | + | 240008.i | 0.354421 | + | 0.128999i | ||||
\(323\) | 1.78308e6 | 0.950963 | ||||||||
\(324\) | 288042. | − | 1.77930e6i | 0.152438 | − | 0.941646i | ||||
\(325\) | 403681. | 0.211997 | ||||||||
\(326\) | −263442. | − | 95885.2i | −0.137291 | − | 0.0499698i | ||||
\(327\) | 121229. | − | 458868.i | 0.0626954 | − | 0.237311i | ||||
\(328\) | 63854.7 | + | 53580.4i | 0.0327724 | + | 0.0274993i | ||||
\(329\) | −303662. | + | 1.72215e6i | −0.154668 | + | 0.877166i | ||||
\(330\) | −305445. | + | 439496.i | −0.154400 | + | 0.222162i | ||||
\(331\) | 1.59621e6 | − | 1.33938e6i | 0.800792 | − | 0.671944i | −0.147599 | − | 0.989047i | \(-0.547155\pi\) |
0.948391 | + | 0.317103i | \(0.102710\pi\) | |||||||
\(332\) | 500824. | + | 867453.i | 0.249368 | + | 0.431917i | ||||
\(333\) | 168740. | − | 99008.0i | 0.0833887 | − | 0.0489282i | ||||
\(334\) | 152841. | − | 264729.i | 0.0749678 | − | 0.129848i | ||||
\(335\) | −274539. | − | 1.55699e6i | −0.133657 | − | 0.758008i | ||||
\(336\) | −2.12297e6 | + | 1.49766e6i | −1.02588 | + | 0.723709i | ||||
\(337\) | −2.66358e6 | + | 969462.i | −1.27759 | + | 0.465003i | −0.889633 | − | 0.456676i | \(-0.849040\pi\) |
−0.387953 | + | 0.921679i | \(0.626818\pi\) | |||||||
\(338\) | −800375. | + | 291313.i | −0.381068 | + | 0.138697i | ||||
\(339\) | −248427. | − | 114783.i | −0.117408 | − | 0.0542475i | ||||
\(340\) | 479776. | + | 2.72094e6i | 0.225082 | + | 1.27650i | ||||
\(341\) | −131511. | + | 227784.i | −0.0612459 | + | 0.106081i | ||||
\(342\) | −115611. | + | 324713.i | −0.0534482 | + | 0.150119i | ||||
\(343\) | −177704. | − | 307793.i | −0.0815572 | − | 0.141261i | ||||
\(344\) | −190778. | + | 160082.i | −0.0869226 | + | 0.0729367i | ||||
\(345\) | −1.20672e6 | − | 2.56429e6i | −0.545834 | − | 1.15990i | ||||
\(346\) | 26601.1 | − | 150862.i | 0.0119456 | − | 0.0677471i | ||||
\(347\) | 974014. | + | 817295.i | 0.434252 | + | 0.364380i | 0.833553 | − | 0.552439i | \(-0.186303\pi\) |
−0.399301 | + | 0.916820i | \(0.630747\pi\) | |||||||
\(348\) | 1.97993e6 | − | 537976.i | 0.876398 | − | 0.238130i | ||||
\(349\) | 1.14658e6 | + | 417321.i | 0.503896 | + | 0.183403i | 0.581446 | − | 0.813585i | \(-0.302487\pi\) |
−0.0775494 | + | 0.996989i | \(0.524710\pi\) | |||||||
\(350\) | 89195.0 | 0.0389198 | ||||||||
\(351\) | −1.62043e6 | + | 3.57278e6i | −0.702042 | + | 1.54788i | ||||
\(352\) | −1.67100e6 | −0.718818 | ||||||||
\(353\) | −2.25543e6 | − | 820909.i | −0.963369 | − | 0.350638i | −0.188016 | − | 0.982166i | \(-0.560206\pi\) |
−0.775353 | + | 0.631528i | \(0.782428\pi\) | |||||||
\(354\) | 260604. | + | 258781.i | 0.110528 | + | 0.109755i | ||||
\(355\) | −2.89198e6 | − | 2.42666e6i | −1.21793 | − | 1.02197i | ||||
\(356\) | −35676.8 | + | 202333.i | −0.0149197 | + | 0.0846140i | ||||
\(357\) | 4.46846e6 | + | 375139.i | 1.85561 | + | 0.155784i | ||||
\(358\) | 369936. | − | 310413.i | 0.152552 | − | 0.128006i | ||||
\(359\) | −357633. | − | 619438.i | −0.146454 | − | 0.253666i | 0.783460 | − | 0.621442i | \(-0.213453\pi\) |
−0.929914 | + | 0.367776i | \(0.880119\pi\) | |||||||
\(360\) | −1.07868e6 | − | 182401.i | −0.438667 | − | 0.0741773i | ||||
\(361\) | 556054. | − | 963113.i | 0.224568 | − | 0.388964i | ||||
\(362\) | −178275. | − | 1.01105e6i | −0.0715020 | − | 0.405508i | ||||
\(363\) | −93722.3 | − | 1.02961e6i | −0.0373316 | − | 0.410116i | ||||
\(364\) | 5.59724e6 | − | 2.03723e6i | 2.21422 | − | 0.805910i | ||||
\(365\) | −383604. | + | 139620.i | −0.150713 | + | 0.0548551i | ||||
\(366\) | −12272.4 | − | 134822.i | −0.00478880 | − | 0.0526087i | ||||
\(367\) | −293138. | − | 1.66247e6i | −0.113608 | − | 0.644301i | −0.987430 | − | 0.158056i | \(-0.949477\pi\) |
0.873823 | − | 0.486245i | \(-0.161634\pi\) | |||||||
\(368\) | 1.35630e6 | − | 2.34918e6i | 0.522079 | − | 0.904267i | ||||
\(369\) | −263006. | − | 44473.6i | −0.100554 | − | 0.0170034i | ||||
\(370\) | −28985.4 | − | 50204.1i | −0.0110071 | − | 0.0190649i | ||||
\(371\) | 4.35933e6 | − | 3.65792e6i | 1.64432 | − | 1.37975i | ||||
\(372\) | −261551. | − | 21957.9i | −0.0979938 | − | 0.00822684i | ||||
\(373\) | −524225. | + | 2.97303e6i | −0.195095 | + | 1.10644i | 0.717189 | + | 0.696878i | \(0.245428\pi\) |
−0.912284 | + | 0.409558i | \(0.865683\pi\) | |||||||
\(374\) | 677317. | + | 568337.i | 0.250388 | + | 0.210100i | ||||
\(375\) | 1.79369e6 | + | 1.78115e6i | 0.658674 | + | 0.654066i | ||||
\(376\) | −662289. | − | 241053.i | −0.241589 | − | 0.0879314i | ||||
\(377\) | −4.46557e6 | −1.61817 | ||||||||
\(378\) | −358042. | + | 789421.i | −0.128885 | + | 0.284171i | ||||
\(379\) | −3.61016e6 | −1.29101 | −0.645503 | − | 0.763757i | \(-0.723352\pi\) | ||||
−0.645503 | + | 0.763757i | \(0.723352\pi\) | |||||||
\(380\) | −1.98608e6 | − | 722872.i | −0.705565 | − | 0.256804i | ||||
\(381\) | 3.44916e6 | − | 937187.i | 1.21731 | − | 0.330761i | ||||
\(382\) | 510617. | + | 428459.i | 0.179035 | + | 0.150228i | ||||
\(383\) | 663735. | − | 3.76423e6i | 0.231205 | − | 1.31123i | −0.619254 | − | 0.785191i | \(-0.712565\pi\) |
0.850459 | − | 0.526041i | \(-0.176324\pi\) | |||||||
\(384\) | −938200. | − | 1.99368e6i | −0.324689 | − | 0.689964i | ||||
\(385\) | −4.08027e6 | + | 3.42376e6i | −1.40293 | + | 1.17720i | ||||
\(386\) | −50548.5 | − | 87552.5i | −0.0172679 | − | 0.0299089i | ||||
\(387\) | 267304. | − | 750770.i | 0.0907253 | − | 0.254818i | ||||
\(388\) | 666347. | − | 1.15415e6i | 0.224709 | − | 0.389208i | ||||
\(389\) | 381131. | + | 2.16150e6i | 0.127703 | + | 0.724239i | 0.979666 | + | 0.200637i | \(0.0643011\pi\) |
−0.851963 | + | 0.523602i | \(0.824588\pi\) | |||||||
\(390\) | 1.05525e6 | + | 487571.i | 0.351314 | + | 0.162322i | ||||
\(391\) | −4.39950e6 | + | 1.60129e6i | −1.45533 | + | 0.529696i | ||||
\(392\) | 1.33392e6 | − | 485507.i | 0.438444 | − | 0.159581i | ||||
\(393\) | 662874. | − | 467625.i | 0.216496 | − | 0.152727i | ||||
\(394\) | 115175. | + | 653193.i | 0.0373783 | + | 0.211983i | ||||
\(395\) | 889497. | − | 1.54065e6i | 0.286848 | − | 0.496835i | ||||
\(396\) | 3.05061e6 | − | 1.78994e6i | 0.977573 | − | 0.573590i | ||||
\(397\) | 1.63656e6 | + | 2.83461e6i | 0.521142 | + | 0.902645i | 0.999698 | + | 0.0245875i | \(0.00782723\pi\) |
−0.478555 | + | 0.878057i | \(0.658839\pi\) | |||||||
\(398\) | −618870. | + | 519294.i | −0.195836 | + | 0.164326i | ||||
\(399\) | −1.95763e6 | + | 2.81678e6i | −0.615600 | + | 0.885770i | ||||
\(400\) | 59871.9 | − | 339550.i | 0.0187100 | − | 0.106110i | ||||
\(401\) | −2.42267e6 | − | 2.03286e6i | −0.752374 | − | 0.631317i | 0.183756 | − | 0.982972i | \(-0.441174\pi\) |
−0.936130 | + | 0.351655i | \(0.885619\pi\) | |||||||
\(402\) | 128961. | − | 488137.i | 0.0398010 | − | 0.150653i | ||||
\(403\) | 536817. | + | 195385.i | 0.164651 | + | 0.0599280i | ||||
\(404\) | −1.15269e6 | −0.351367 | ||||||||
\(405\) | 3.27250e6 | − | 1.24340e6i | 0.991384 | − | 0.376680i | ||||
\(406\) | −986687. | −0.297074 | ||||||||
\(407\) | 360754. | + | 131304.i | 0.107951 | + | 0.0392908i | ||||
\(408\) | −461627. | + | 1.74733e6i | −0.137291 | + | 0.519665i | ||||
\(409\) | 3.65279e6 | + | 3.06506e6i | 1.07973 | + | 0.906004i | 0.995899 | − | 0.0904758i | \(-0.0288388\pi\) |
0.0838347 | + | 0.996480i | \(0.473283\pi\) | |||||||
\(410\) | −13724.8 | + | 77837.0i | −0.00403223 | + | 0.0228679i | ||||
\(411\) | −1.12170e6 | + | 1.61398e6i | −0.327545 | + | 0.471295i | ||||
\(412\) | −445270. | + | 373626.i | −0.129235 | + | 0.108441i | ||||
\(413\) | 1.82749e6 | + | 3.16531e6i | 0.527207 | + | 0.913149i | ||||
\(414\) | −6353.59 | − | 905009.i | −0.00182187 | − | 0.259509i | ||||
\(415\) | −972701. | + | 1.68477e6i | −0.277242 | + | 0.480197i | ||||
\(416\) | 630221. | + | 3.57416e6i | 0.178550 | + | 1.01261i | ||||
\(417\) | 1.26156e6 | − | 889972.i | 0.355279 | − | 0.250632i | ||||
\(418\) | −635574. | + | 231330.i | −0.177920 | + | 0.0647577i | ||||
\(419\) | −4.07040e6 | + | 1.48150e6i | −1.13267 | + | 0.412256i | −0.839259 | − | 0.543732i | \(-0.817011\pi\) |
−0.293406 | + | 0.955988i | \(0.594789\pi\) | |||||||
\(420\) | −4.82510e6 | − | 2.22940e6i | −1.33470 | − | 0.616686i | ||||
\(421\) | −424496. | − | 2.40743e6i | −0.116726 | − | 0.661987i | −0.985881 | − | 0.167447i | \(-0.946448\pi\) |
0.869155 | − | 0.494540i | \(-0.164663\pi\) | |||||||
\(422\) | 414780. | − | 718421.i | 0.113380 | − | 0.196380i | ||||
\(423\) | 2.21826e6 | − | 407217.i | 0.602785 | − | 0.110656i | ||||
\(424\) | 1.14677e6 | + | 1.98627e6i | 0.309787 | + | 0.536567i | ||||
\(425\) | −455867. | + | 382518.i | −0.122424 | + | 0.102726i | ||||
\(426\) | −513336. | − | 1.09084e6i | −0.137050 | − | 0.291230i | ||||
\(427\) | 233954. | − | 1.32682e6i | 0.0620956 | − | 0.352162i | ||||
\(428\) | 1.13165e6 | + | 949566.i | 0.298608 | + | 0.250562i | ||||
\(429\) | −7.42888e6 | + | 2.01854e6i | −1.94886 | + | 0.529533i | ||||
\(430\) | −221900. | − | 80764.9i | −0.0578743 | − | 0.0210645i | ||||
\(431\) | 1.41794e6 | 0.367676 | 0.183838 | − | 0.982957i | \(-0.441148\pi\) | ||||
0.183838 | + | 0.982957i | \(0.441148\pi\) | |||||||
\(432\) | 2.76486e6 | + | 1.89290e6i | 0.712793 | + | 0.487998i | ||||
\(433\) | 4.13697e6 | 1.06038 | 0.530191 | − | 0.847878i | \(-0.322120\pi\) | ||||
0.530191 | + | 0.847878i | \(0.322120\pi\) | |||||||
\(434\) | 118612. | + | 43171.3i | 0.0302277 | + | 0.0110020i | ||||
\(435\) | 2.82758e6 | + | 2.80780e6i | 0.716461 | + | 0.711448i | ||||
\(436\) | 711941. | + | 597390.i | 0.179361 | + | 0.150502i | ||||
\(437\) | 621913. | − | 3.52704e6i | 0.155785 | − | 0.883501i | ||||
\(438\) | −129906. | − | 10906.0i | −0.0323553 | − | 0.00271631i | ||||
\(439\) | 901599. | − | 756532.i | 0.223281 | − | 0.187355i | −0.524284 | − | 0.851543i | \(-0.675667\pi\) |
0.747565 | + | 0.664188i | \(0.231223\pi\) | |||||||
\(440\) | −1.07336e6 | − | 1.85912e6i | −0.264311 | − | 0.457800i | ||||
\(441\) | −2.89534e6 | + | 3.50015e6i | −0.708931 | + | 0.857018i | ||||
\(442\) | 960186. | − | 1.66309e6i | 0.233776 | − | 0.404912i | ||||
\(443\) | −1.05408e6 | − | 5.97799e6i | −0.255191 | − | 1.44726i | −0.795583 | − | 0.605845i | \(-0.792835\pi\) |
0.540392 | − | 0.841413i | \(-0.318276\pi\) | |||||||
\(444\) | 34728.9 | + | 381524.i | 0.00836053 | + | 0.0918469i | ||||
\(445\) | −374969. | + | 136478.i | −0.0897627 | + | 0.0326709i | ||||
\(446\) | 703749. | − | 256144.i | 0.167525 | − | 0.0609742i | ||||
\(447\) | 616780. | + | 6.77580e6i | 0.146003 | + | 1.60395i | ||||
\(448\) | −786873. | − | 4.46258e6i | −0.185229 | − | 1.05049i | ||||
\(449\) | −2.15001e6 | + | 3.72393e6i | −0.503297 | + | 0.871737i | 0.496695 | + | 0.867925i | \(0.334547\pi\) |
−0.999993 | + | 0.00381167i | \(0.998787\pi\) | |||||||
\(450\) | −40102.3 | − | 107819.i | −0.00933551 | − | 0.0250994i | ||||
\(451\) | −261711. | − | 453296.i | −0.0605871 | − | 0.104940i | ||||
\(452\) | 410507. | − | 344456.i | 0.0945093 | − | 0.0793028i | ||||
\(453\) | 6.15343e6 | + | 516597.i | 1.40887 | + | 0.118279i | ||||
\(454\) | −233574. | + | 1.32466e6i | −0.0531844 | + | 0.301624i | ||||
\(455\) | 8.86210e6 | + | 7.43618e6i | 2.00682 | + | 1.68392i | ||||
\(456\) | −981004. | − | 974141.i | −0.220932 | − | 0.219386i | ||||
\(457\) | −6.12806e6 | − | 2.23043e6i | −1.37256 | − | 0.499572i | −0.452649 | − | 0.891689i | \(-0.649521\pi\) |
−0.919916 | + | 0.392117i | \(0.871743\pi\) | |||||||
\(458\) | 406475. | 0.0905463 | ||||||||
\(459\) | −1.55556e6 | − | 5.57014e6i | −0.344632 | − | 1.23405i | ||||
\(460\) | 5.54954e6 | 1.22282 | ||||||||
\(461\) | 1.10120e6 | + | 400803.i | 0.241331 | + | 0.0878373i | 0.459854 | − | 0.887994i | \(-0.347902\pi\) |
−0.218523 | + | 0.975832i | \(0.570124\pi\) | |||||||
\(462\) | −1.64144e6 | + | 446005.i | −0.357784 | + | 0.0972153i | ||||
\(463\) | −2.97716e6 | − | 2.49813e6i | −0.645430 | − | 0.541580i | 0.260251 | − | 0.965541i | \(-0.416195\pi\) |
−0.905680 | + | 0.423961i | \(0.860639\pi\) | |||||||
\(464\) | −662311. | + | 3.75615e6i | −0.142813 | + | 0.809931i | ||||
\(465\) | −217059. | − | 461251.i | −0.0465528 | − | 0.0989247i | ||||
\(466\) | 1.40144e6 | − | 1.17595e6i | 0.298958 | − | 0.250855i | ||||
\(467\) | −574437. | − | 994953.i | −0.121885 | − | 0.211111i | 0.798626 | − | 0.601828i | \(-0.205561\pi\) |
−0.920511 | + | 0.390717i | \(0.872227\pi\) | |||||||
\(468\) | −4.97913e6 | − | 5.85000e6i | −1.05085 | − | 1.23464i | ||||
\(469\) | 2.51230e6 | − | 4.35143e6i | 0.527399 | − | 0.913482i | ||||
\(470\) | −116045. | − | 658126.i | −0.0242317 | − | 0.137425i | ||||
\(471\) | −6.89006e6 | − | 3.18349e6i | −1.43110 | − | 0.661229i | ||||
\(472\) | −1.38425e6 | + | 503825.i | −0.285995 | + | 0.104094i | ||||
\(473\) | 1.46951e6 | − | 534859.i | 0.302009 | − | 0.109922i | ||||
\(474\) | 464222. | − | 327486.i | 0.0949030 | − | 0.0669495i | ||||
\(475\) | −79049.0 | − | 448309.i | −0.0160754 | − | 0.0911683i | ||||
\(476\) | −4.39041e6 | + | 7.60441e6i | −0.888152 | + | 1.53832i | ||||
\(477\) | −6.38165e6 | − | 3.62495e6i | −1.28421 | − | 0.729468i | ||||
\(478\) | 201280. | + | 348628.i | 0.0402932 | + | 0.0697898i | ||||
\(479\) | −3.38132e6 | + | 2.83726e6i | −0.673360 | + | 0.565016i | −0.914058 | − | 0.405584i | \(-0.867068\pi\) |
0.240698 | + | 0.970600i | \(0.422624\pi\) | |||||||
\(480\) | 1.84826e6 | − | 2.65941e6i | 0.366151 | − | 0.526845i | ||||
\(481\) | 144792. | − | 821154.i | 0.0285352 | − | 0.161831i | ||||
\(482\) | −547285. | − | 459227.i | −0.107299 | − | 0.0900346i | ||||
\(483\) | 2.30059e6 | − | 8.70807e6i | 0.448716 | − | 1.69845i | ||||
\(484\) | 1.90241e6 | + | 692419.i | 0.369139 | + | 0.134356i | ||||
\(485\) | 2.58836e6 | 0.499655 | ||||||||
\(486\) | 1.11523e6 | + | 77875.0i | 0.214177 | + | 0.0149557i | ||||
\(487\) | 864205. | 0.165118 | 0.0825590 | − | 0.996586i | \(-0.473691\pi\) | ||||
0.0825590 | + | 0.996586i | \(0.473691\pi\) | |||||||
\(488\) | 510256. | + | 185718.i | 0.0969925 | + | 0.0353024i | ||||
\(489\) | −919105. | + | 3.47895e6i | −0.173817 | + | 0.657924i | ||||
\(490\) | 1.03108e6 | + | 865181.i | 0.194001 | + | 0.162786i | ||||
\(491\) | 842851. | − | 4.78005e6i | 0.157778 | − | 0.894805i | −0.798423 | − | 0.602096i | \(-0.794332\pi\) |
0.956202 | − | 0.292709i | \(-0.0945566\pi\) | |||||||
\(492\) | 298088. | − | 428911.i | 0.0555178 | − | 0.0798830i | ||||
\(493\) | 5.04286e6 | − | 4.23146e6i | 0.934458 | − | 0.784103i | ||||
\(494\) | 734510. | + | 1.27221e6i | 0.135419 | + | 0.234553i | ||||
\(495\) | 5.97313e6 | + | 3.39290e6i | 1.09569 | + | 0.622384i | ||||
\(496\) | 243964. | − | 422558.i | 0.0445268 | − | 0.0771227i | ||||
\(497\) | −2.08343e6 | − | 1.18157e7i | −0.378344 | − | 2.14570i | ||||
\(498\) | −507646. | + | 358120.i | −0.0917249 | + | 0.0647075i | ||||
\(499\) | 800708. | − | 291434.i | 0.143954 | − | 0.0523948i | −0.269039 | − | 0.963129i | \(-0.586706\pi\) |
0.412992 | + | 0.910735i | \(0.364484\pi\) | |||||||
\(500\) | −4.65138e6 | + | 1.69296e6i | −0.832064 | + | 0.302847i | ||||
\(501\) | −3.56166e6 | − | 1.64564e6i | −0.633955 | − | 0.292913i | ||||
\(502\) | −109229. | − | 619468.i | −0.0193454 | − | 0.109713i | ||||
\(503\) | −2.89525e6 | + | 5.01472e6i | −0.510230 | + | 0.883745i | 0.489699 | + | 0.871891i | \(0.337107\pi\) |
−0.999930 | + | 0.0118535i | \(0.996227\pi\) | |||||||
\(504\) | −2.25349e6 | − | 2.64763e6i | −0.395165 | − | 0.464281i | ||||
\(505\) | −1.11938e6 | − | 1.93883e6i | −0.195321 | − | 0.338306i | ||||
\(506\) | 1.36045e6 | − | 1.14155e6i | 0.236214 | − | 0.198207i | ||||
\(507\) | 4.65489e6 | + | 9.89164e6i | 0.804247 | + | 1.70903i | ||||
\(508\) | −1.21535e6 | + | 6.89261e6i | −0.208950 | + | 1.18502i | ||||
\(509\) | 8.26668e6 | + | 6.93657e6i | 1.41428 | + | 1.18673i | 0.954320 | + | 0.298788i | \(0.0965823\pi\) |
0.459964 | + | 0.887937i | \(0.347862\pi\) | |||||||
\(510\) | −1.65369e6 | + | 449331.i | −0.281532 | + | 0.0764964i | ||||
\(511\) | −1.21913e6 | − | 443727.i | −0.206537 | − | 0.0751733i | ||||
\(512\) | 5.24934e6 | 0.884973 | ||||||||
\(513\) | 4.28508e6 | + | 1.09995e6i | 0.718895 | + | 0.184536i | ||||
\(514\) | −1.62069e6 | −0.270577 | ||||||||
\(515\) | −1.06084e6 | − | 386114.i | −0.176251 | − | 0.0641501i | ||||
\(516\) | 1.10734e6 | + | 1.09959e6i | 0.183086 | + | 0.181805i | ||||
\(517\) | 3.39022e6 | + | 2.84473e6i | 0.557830 | + | 0.468075i | ||||
\(518\) | 31992.3 | − | 181438.i | 0.00523868 | − | 0.0297100i | ||||
\(519\) | −1.95931e6 | − | 164489.i | −0.319290 | − | 0.0268052i | ||||
\(520\) | −3.57173e6 | + | 2.99703e6i | −0.579255 | + | 0.486053i | ||||
\(521\) | −1.23228e6 | − | 2.13436e6i | −0.198890 | − | 0.344488i | 0.749279 | − | 0.662255i | \(-0.230400\pi\) |
−0.948169 | + | 0.317767i | \(0.897067\pi\) | |||||||
\(522\) | 443617. | + | 1.19271e6i | 0.0712576 | + | 0.191583i | ||||
\(523\) | 1.04744e6 | − | 1.81422e6i | 0.167446 | − | 0.290025i | −0.770075 | − | 0.637953i | \(-0.779781\pi\) |
0.937521 | + | 0.347928i | \(0.113115\pi\) | |||||||
\(524\) | 275842. | + | 1.56438e6i | 0.0438865 | + | 0.248893i | ||||
\(525\) | −103781. | − | 1.14011e6i | −0.0164331 | − | 0.180530i | ||||
\(526\) | 1.72162e6 | − | 626619.i | 0.271315 | − | 0.0987505i | ||||
\(527\) | −791358. | + | 288031.i | −0.124121 | + | 0.0451764i | ||||
\(528\) | 596051. | + | 6.54808e6i | 0.0930461 | + | 1.02218i | ||||
\(529\) | 515305. | + | 2.92244e6i | 0.0800617 | + | 0.454053i | ||||
\(530\) | −1.08736e6 | + | 1.88336e6i | −0.168145 | + | 0.291236i | ||||
\(531\) | 3.00458e6 | − | 3.63221e6i | 0.462432 | − | 0.559029i | ||||
\(532\) | −3.35851e6 | − | 5.81711e6i | −0.514479 | − | 0.891104i | ||||
\(533\) | −870868. | + | 730745.i | −0.132781 | + | 0.111416i | ||||
\(534\) | −126982. | − | 10660.5i | −0.0192704 | − | 0.00161780i | ||||
\(535\) | −498221. | + | 2.82555e6i | −0.0752554 | + | 0.426795i | ||||
\(536\) | 1.55130e6 | + | 1.30170e6i | 0.233230 | + | 0.195703i | ||||
\(537\) | −4.39820e6 | − | 4.36743e6i | −0.658172 | − | 0.653567i | ||||
\(538\) | −671482. | − | 244400.i | −0.100018 | − | 0.0364036i | ||||
\(539\) | −8.91366e6 | −1.32155 | ||||||||
\(540\) | −525516. | + | 6.83492e6i | −0.0775535 | + | 1.00867i | ||||
\(541\) | 7.87225e6 | 1.15639 | 0.578197 | − | 0.815897i | \(-0.303757\pi\) | ||||
0.578197 | + | 0.815897i | \(0.303757\pi\) | |||||||
\(542\) | −933742. | − | 339854.i | −0.136530 | − | 0.0496929i | ||||
\(543\) | −1.27160e7 | + | 3.45513e6i | −1.85077 | + | 0.502881i | ||||
\(544\) | −4.09849e6 | − | 3.43904e6i | −0.593781 | − | 0.498241i | ||||
\(545\) | −313440. | + | 1.77761e6i | −0.0452026 | + | 0.256357i | ||||
\(546\) | 1.57305e6 | + | 3.34274e6i | 0.225820 | + | 0.479867i | ||||
\(547\) | −9.72951e6 | + | 8.16403e6i | −1.39034 | + | 1.16664i | −0.425145 | + | 0.905125i | \(0.639777\pi\) |
−0.965200 | + | 0.261513i | \(0.915779\pi\) | |||||||
\(548\) | −1.92438e6 | − | 3.33313e6i | −0.273741 | − | 0.474134i | ||||
\(549\) | −1.70904e6 | + | 313737.i | −0.242004 | + | 0.0444258i | ||||
\(550\) | 112866. | − | 195490.i | 0.0159096 | − | 0.0275562i | ||||
\(551\) | 874450. | + | 4.95925e6i | 0.122703 | + | 0.695885i | ||||
\(552\) | 3.29532e6 | + | 1.52257e6i | 0.460309 | + | 0.212682i | ||||
\(553\) | 5.31285e6 | − | 1.93372e6i | 0.738779 | − | 0.268893i | ||||
\(554\) | −2.58148e6 | + | 939582.i | −0.357351 | + | 0.130065i | ||||
\(555\) | −607996. | + | 428912.i | −0.0837854 | + | 0.0591066i | ||||
\(556\) | 524974. | + | 2.97728e6i | 0.0720197 | + | 0.408444i | ||||
\(557\) | 4.29301e6 | − | 7.43571e6i | 0.586306 | − | 1.01551i | −0.408406 | − | 0.912800i | \(-0.633915\pi\) |
0.994711 | − | 0.102710i | \(-0.0327515\pi\) | |||||||
\(558\) | −1142.85 | − | 162788.i | −0.000155383 | − | 0.0221329i | ||||
\(559\) | −1.69826e6 | − | 2.94148e6i | −0.229866 | − | 0.398140i | ||||
\(560\) | 7.56923e6 | − | 6.35134e6i | 1.01996 | − | 0.855845i | ||||
\(561\) | 6.47654e6 | − | 9.31891e6i | 0.868832 | − | 1.25014i | ||||
\(562\) | 179792. | − | 1.01965e6i | 0.0240121 | − | 0.136179i | ||||
\(563\) | 3.22069e6 | + | 2.70248e6i | 0.428230 | + | 0.359328i | 0.831284 | − | 0.555849i | \(-0.187607\pi\) |
−0.403053 | + | 0.915177i | \(0.632051\pi\) | |||||||
\(564\) | −1.12805e6 | + | 4.26984e6i | −0.149324 | + | 0.565215i | ||||
\(565\) | 978018. | + | 355969.i | 0.128892 | + | 0.0469128i | ||||
\(566\) | −2.83128e6 | −0.371486 | ||||||||
\(567\) | 1.05072e7 | + | 3.65806e6i | 1.37255 | + | 0.477852i | ||||
\(568\) | 4.83559e6 | 0.628895 | ||||||||
\(569\) | 6.68360e6 | + | 2.43263e6i | 0.865426 | + | 0.314989i | 0.736314 | − | 0.676641i | \(-0.236565\pi\) |
0.129113 | + | 0.991630i | \(0.458787\pi\) | |||||||
\(570\) | 334834. | − | 1.26739e6i | 0.0431660 | − | 0.163390i | ||||
\(571\) | 7.71342e6 | + | 6.47233e6i | 0.990049 | + | 0.830750i | 0.985575 | − | 0.169240i | \(-0.0541314\pi\) |
0.00447419 | + | 0.999990i | \(0.498576\pi\) | |||||||
\(572\) | 2.61766e6 | − | 1.48455e7i | 0.334520 | − | 1.89716i | ||||
\(573\) | 4.88254e6 | − | 7.02535e6i | 0.621240 | − | 0.893885i | ||||
\(574\) | −192422. | + | 161461.i | −0.0243767 | + | 0.0204545i | ||||
\(575\) | 597646. | + | 1.03515e6i | 0.0753831 | + | 0.130567i | ||||
\(576\) | −5.04058e6 | + | 2.95756e6i | −0.633030 | + | 0.371430i | ||||
\(577\) | −6.63638e6 | + | 1.14945e7i | −0.829834 | + | 1.43732i | 0.0683334 | + | 0.997663i | \(0.478232\pi\) |
−0.898168 | + | 0.439653i | \(0.855101\pi\) | |||||||
\(578\) | 192143. | + | 1.08969e6i | 0.0239224 | + | 0.135670i | ||||
\(579\) | −1.06030e6 | + | 747992.i | −0.131442 | + | 0.0927258i | ||||
\(580\) | −7.33245e6 | + | 2.66879e6i | −0.905063 | + | 0.329416i | ||||
\(581\) | −5.80981e6 | + | 2.11460e6i | −0.714039 | + | 0.259889i | ||||
\(582\) | 750355. | + | 346695.i | 0.0918246 | + | 0.0424267i | ||||
\(583\) | −2.50087e6 | − | 1.41831e7i | −0.304733 | − | 1.72823i | ||||
\(584\) | 261442. | − | 452831.i | 0.0317208 | − | 0.0549420i | ||||
\(585\) | 5.00443e6 | − | 1.40558e7i | 0.604596 | − | 1.69811i | ||||
\(586\) | 1.53502e6 | + | 2.65873e6i | 0.184659 | + | 0.319838i | ||||
\(587\) | −4.27111e6 | + | 3.58389e6i | −0.511618 | + | 0.429299i | −0.861698 | − | 0.507421i | \(-0.830599\pi\) |
0.350080 | + | 0.936720i | \(0.386154\pi\) | |||||||
\(588\) | −3.78745e6 | − | 8.04833e6i | −0.451755 | − | 0.959980i | ||||
\(589\) | 111866. | − | 634425.i | 0.0132865 | − | 0.0753516i | ||||
\(590\) | −1.06998e6 | − | 897823.i | −0.126546 | − | 0.106184i | ||||
\(591\) | 8.21526e6 | − | 2.23221e6i | 0.967503 | − | 0.262885i | ||||
\(592\) | −669228. | − | 243579.i | −0.0784819 | − | 0.0285651i | ||||
\(593\) | −1.67038e6 | −0.195064 | −0.0975321 | − | 0.995232i | \(-0.531095\pi\) | ||||
−0.0975321 | + | 0.995232i | \(0.531095\pi\) | |||||||
\(594\) | 1.27713e6 | + | 1.78365e6i | 0.148514 | + | 0.207417i | ||||
\(595\) | −1.70541e7 | −1.97486 | ||||||||
\(596\) | −1.25196e7 | − | 4.55676e6i | −1.44369 | − | 0.525461i | ||||
\(597\) | 7.35781e6 | + | 7.30633e6i | 0.844914 | + | 0.839003i | ||||
\(598\) | −2.95480e6 | − | 2.47938e6i | −0.337890 | − | 0.283524i | ||||
\(599\) | 2.68862e6 | − | 1.52479e7i | 0.306170 | − | 1.73638i | −0.311775 | − | 0.950156i | \(-0.600924\pi\) |
0.617946 | − | 0.786221i | \(-0.287965\pi\) | |||||||
\(600\) | 459786. | + | 38600.3i | 0.0521408 | + | 0.00437736i | ||||
\(601\) | 2.24768e6 | − | 1.88603e6i | 0.253833 | − | 0.212991i | −0.506988 | − | 0.861953i | \(-0.669241\pi\) |
0.760821 | + | 0.648962i | \(0.224797\pi\) | |||||||
\(602\) | −375239. | − | 649933.i | −0.0422004 | − | 0.0730932i | ||||
\(603\) | −6.38954e6 | − | 1.08045e6i | −0.715610 | − | 0.121008i | ||||
\(604\) | −6.04594e6 | + | 1.04719e7i | −0.674329 | + | 1.16797i | ||||
\(605\) | 682781. | + | 3.87225e6i | 0.0758391 | + | 0.430105i | ||||
\(606\) | −64810.3 | − | 711991.i | −0.00716906 | − | 0.0787577i | ||||
\(607\) | −7.90537e6 | + | 2.87732e6i | −0.870864 | + | 0.316969i | −0.738517 | − | 0.674235i | \(-0.764474\pi\) |
−0.132347 | + | 0.991203i | \(0.542251\pi\) | |||||||
\(608\) | 3.84589e6 | − | 1.39979e6i | 0.421928 | − | 0.153569i | ||||
\(609\) | 1.14804e6 | + | 1.26121e7i | 0.125433 | + | 1.37798i | ||||
\(610\) | 89406.3 | + | 507048.i | 0.00972844 | + | 0.0551728i | ||||
\(611\) | 4.80609e6 | − | 8.32439e6i | 0.520821 | − | 0.902089i | ||||
\(612\) | 1.11661e7 | + | 1.88816e6i | 1.20510 | + | 0.203780i | ||||
\(613\) | 3.76159e6 | + | 6.51527e6i | 0.404316 | + | 0.700295i | 0.994242 | − | 0.107162i | \(-0.0341764\pi\) |
−0.589926 | + | 0.807457i | \(0.700843\pi\) | |||||||
\(614\) | 2.57326e6 | − | 2.15922e6i | 0.275463 | − | 0.231141i | ||||
\(615\) | 1.01090e6 | + | 84867.8i | 0.107776 | + | 0.00904805i | ||||
\(616\) | 1.18472e6 | − | 6.71885e6i | 0.125795 | − | 0.713417i | ||||
\(617\) | −1.23929e7 | − | 1.03989e7i | −1.31057 | − | 1.09970i | −0.988213 | − | 0.153082i | \(-0.951080\pi\) |
−0.322358 | − | 0.946618i | \(-0.604475\pi\) | |||||||
\(618\) | −255815. | − | 254025.i | −0.0269436 | − | 0.0267551i | ||||
\(619\) | 1.17819e7 | + | 4.28826e6i | 1.23591 | + | 0.449836i | 0.875619 | − | 0.483002i | \(-0.160454\pi\) |
0.360296 | + | 0.932838i | \(0.382676\pi\) | |||||||
\(620\) | 998222. | 0.104291 | ||||||||
\(621\) | −1.15607e7 | + | 1.13422e6i | −1.20297 | + | 0.118023i | ||||
\(622\) | −2.16949e6 | −0.224844 | ||||||||
\(623\) | −1.19169e6 | − | 433739.i | −0.123011 | − | 0.0447722i | ||||
\(624\) | 1.37811e7 | − | 3.74454e6i | 1.41685 | − | 0.384979i | ||||
\(625\) | −8.29761e6 | − | 6.96252e6i | −0.849675 | − | 0.712962i | ||||
\(626\) | 308452. | − | 1.74932e6i | 0.0314595 | − | 0.178416i | ||||
\(627\) | 3.69642e6 | + | 7.85490e6i | 0.375503 | + | 0.797943i | ||||
\(628\) | 1.13853e7 | − | 9.55343e6i | 1.15198 | − | 0.966629i | ||||
\(629\) | 614596. | + | 1.06451e6i | 0.0619388 | + | 0.107281i | ||||
\(630\) | 1.10575e6 | − | 3.10570e6i | 0.110996 | − | 0.311751i | ||||
\(631\) | 6.03298e6 | − | 1.04494e7i | 0.603196 | − | 1.04477i | −0.389138 | − | 0.921179i | \(-0.627227\pi\) |
0.992334 | − | 0.123586i | \(-0.0394396\pi\) | |||||||
\(632\) | 395688. | + | 2.24406e6i | 0.0394058 | + | 0.223482i | ||||
\(633\) | −9.66564e6 | − | 4.46592e6i | −0.958785 | − | 0.442998i | ||||
\(634\) | 2.57835e6 | − | 938444.i | 0.254753 | − | 0.0927225i | ||||
\(635\) | −1.27736e7 | + | 4.64920e6i | −1.25712 | + | 0.457556i | ||||
\(636\) | 1.17436e7 | − | 8.28454e6i | 1.15122 | − | 0.812130i | ||||
\(637\) | 3.36181e6 | + | 1.90658e7i | 0.328265 | + | 1.86169i | ||||
\(638\) | −1.24854e6 | + | 2.16254e6i | −0.121437 | + | 0.210335i | ||||
\(639\) | −1.33461e7 | + | 7.83080e6i | −1.29301 | + | 0.758672i | ||||
\(640\) | 4.18995e6 | + | 7.25721e6i | 0.404352 | + | 0.700357i | ||||
\(641\) | −7.15149e6 | + | 6.00081e6i | −0.687466 | + | 0.576853i | −0.918177 | − | 0.396169i | \(-0.870339\pi\) |
0.230711 | + | 0.973022i | \(0.425895\pi\) | |||||||
\(642\) | −522897. | + | 752381.i | −0.0500701 | + | 0.0720444i | ||||
\(643\) | 812269. | − | 4.60661e6i | 0.0774769 | − | 0.439394i | −0.921251 | − | 0.388969i | \(-0.872831\pi\) |
0.998728 | − | 0.0504248i | \(-0.0160575\pi\) | |||||||
\(644\) | 1.35107e7 | + | 1.13368e7i | 1.28370 | + | 1.07715i | ||||
\(645\) | −774170. | + | 2.93035e6i | −0.0732718 | + | 0.277345i | ||||
\(646\) | −2.03498e6 | − | 740672.i | −0.191857 | − | 0.0698304i | ||||
\(647\) | 1.12649e7 | 1.05796 | 0.528979 | − | 0.848635i | \(-0.322575\pi\) | ||||
0.528979 | + | 0.848635i | \(0.322575\pi\) | |||||||
\(648\) | −2.18728e6 | + | 3.91439e6i | −0.204629 | + | 0.366207i | ||||
\(649\) | 9.24997e6 | 0.862042 | ||||||||
\(650\) | −460710. | − | 167685.i | −0.0427705 | − | 0.0155672i | ||||
\(651\) | 413818. | − | 1.56636e6i | 0.0382698 | − | 0.144857i | ||||
\(652\) | −5.39765e6 | − | 4.52916e6i | −0.497262 | − | 0.417253i | ||||
\(653\) | −3.64090e6 | + | 2.06486e7i | −0.334138 | + | 1.89499i | 0.101446 | + | 0.994841i | \(0.467653\pi\) |
−0.435583 | + | 0.900148i | \(0.643458\pi\) | |||||||
\(654\) | −328964. | + | 473337.i | −0.0300749 | + | 0.0432739i | ||||
\(655\) | −2.36340e6 | + | 1.98313e6i | −0.215246 | + | 0.180613i | ||||
\(656\) | 485494. | + | 840900.i | 0.0440478 | + | 0.0762930i | ||||
\(657\) | 11746.5 | + | 1.67318e6i | 0.00106169 | + | 0.151227i | ||||
\(658\) | 1.06193e6 | − | 1.83931e6i | 0.0956158 | − | 0.165611i | ||||
\(659\) | 2.85898e6 | + | 1.62141e7i | 0.256447 | + | 1.45439i | 0.792330 | + | 0.610093i | \(0.208868\pi\) |
−0.535883 | + | 0.844293i | \(0.680021\pi\) | |||||||
\(660\) | −1.09918e7 | + | 7.75421e6i | −0.982224 | + | 0.692912i | ||||
\(661\) | 7.32128e6 | − | 2.66473e6i | 0.651753 | − | 0.237219i | 0.00508131 | − | 0.999987i | \(-0.498383\pi\) |
0.646672 | + | 0.762768i | \(0.276160\pi\) | |||||||
\(662\) | −2.37808e6 | + | 865549.i | −0.210902 | + | 0.0767620i | ||||
\(663\) | −2.23752e7 | − | 1.03383e7i | −1.97690 | − | 0.913408i | ||||
\(664\) | −432701. | − | 2.45397e6i | −0.0380862 | − | 0.215998i | ||||
\(665\) | 6.52291e6 | − | 1.12980e7i | 0.571988 | − | 0.990712i | ||||
\(666\) | −233705. | + | 42902.4i | −0.0204166 | + | 0.00374797i | ||||
\(667\) | −6.61123e6 | − | 1.14510e7i | −0.575397 | − | 0.996617i | ||||
\(668\) | 5.88539e6 | − | 4.93843e6i | 0.510310 | − | 0.428201i | ||||
\(669\) | −4.09292e6 | − | 8.69746e6i | −0.353564 | − | 0.751323i | ||||
\(670\) | −333433. | + | 1.89099e6i | −0.0286960 | + | 0.162743i | ||||
\(671\) | −2.61197e6 | − | 2.19170e6i | −0.223956 | − | 0.187921i | ||||
\(672\) | 9.93247e6 | − | 2.69880e6i | 0.848465 | − | 0.230541i | ||||
\(673\) | −4.88681e6 | − | 1.77865e6i | −0.415899 | − | 0.151375i | 0.125591 | − | 0.992082i | \(-0.459917\pi\) |
−0.541490 | + | 0.840707i | \(0.682140\pi\) | |||||||
\(674\) | 3.44258e6 | 0.291900 | ||||||||
\(675\) | −1.33151e6 | + | 638047.i | −0.112482 | + | 0.0539006i | ||||
\(676\) | −2.14071e7 | −1.80174 | ||||||||
\(677\) | 2.10263e7 | + | 7.65293e6i | 1.76315 | + | 0.641736i | 0.999990 | − | 0.00446786i | \(-0.00142217\pi\) |
0.763165 | + | 0.646204i | \(0.223644\pi\) | |||||||
\(678\) | 235843. | + | 234193.i | 0.0197038 | + | 0.0195659i | ||||
\(679\) | 6.30153e6 | + | 5.28761e6i | 0.524531 | + | 0.440134i | ||||
\(680\) | 1.19355e6 | − | 6.76896e6i | 0.0989848 | − | 0.561371i | ||||
\(681\) | 1.72039e7 | + | 1.44432e6i | 1.42154 | + | 0.119342i | ||||
\(682\) | 244710. | − | 205336.i | 0.0201461 | − | 0.0169046i | ||||
\(683\) | 4.83745e6 | + | 8.37871e6i | 0.396794 | + | 0.687267i | 0.993328 | − | 0.115320i | \(-0.0367894\pi\) |
−0.596534 | + | 0.802587i | \(0.703456\pi\) | |||||||
\(684\) | −5.52173e6 | + | 6.67515e6i | −0.451268 | + | 0.545533i | ||||
\(685\) | 3.73754e6 | − | 6.47361e6i | 0.304340 | − | 0.527133i | ||||
\(686\) | 74955.3 | + | 425092.i | 0.00608124 | + | 0.0344884i | ||||
\(687\) | −472945. | − | 5.19567e6i | −0.0382313 | − | 0.420000i | ||||
\(688\) | −2.72606e6 | + | 992205.i | −0.219566 | + | 0.0799154i | ||||
\(689\) | −2.93936e7 | + | 1.06984e7i | −2.35888 | + | 0.858561i | ||||
\(690\) | 312023. | + | 3.42782e6i | 0.0249497 | + | 0.274091i | ||||
\(691\) | 3.85056e6 | + | 2.18376e7i | 0.306781 | + | 1.73984i | 0.615002 | + | 0.788526i | \(0.289155\pi\) |
−0.308221 | + | 0.951315i | \(0.599734\pi\) | |||||||
\(692\) | 1.92509e6 | − | 3.33435e6i | 0.152822 | − | 0.264695i | ||||
\(693\) | 7.61080e6 | + | 2.04624e7i | 0.602001 | + | 1.61854i | ||||
\(694\) | −772121. | − | 1.33735e6i | −0.0608537 | − | 0.105402i | ||||
\(695\) | −4.49797e6 | + | 3.77424e6i | −0.353227 | + | 0.296393i | ||||
\(696\) | −5.08621e6 | − | 427001.i | −0.397989 | − | 0.0334123i | ||||
\(697\) | 291015. | − | 1.65043e6i | 0.0226899 | − | 0.128681i | ||||
\(698\) | −1.13521e6 | − | 952556.i | −0.0881939 | − | 0.0740034i | ||||
\(699\) | −1.66619e7 | − | 1.65453e7i | −1.28982 | − | 1.28080i | ||||
\(700\) | 2.10658e6 | + | 766731.i | 0.162492 | + | 0.0591423i | ||||
\(701\) | 1.14342e7 | 0.878839 | 0.439419 | − | 0.898282i | \(-0.355184\pi\) | ||||
0.439419 | + | 0.898282i | \(0.355184\pi\) | |||||||
\(702\) | 3.33345e6 | − | 3.40441e6i | 0.255300 | − | 0.260735i | ||||
\(703\) | −940289. | −0.0717585 | ||||||||
\(704\) | −1.07764e7 | − | 3.92229e6i | −0.819488 | − | 0.298269i | ||||
\(705\) | −8.27730e6 | + | 2.24907e6i | −0.627214 | + | 0.170424i | ||||
\(706\) | 2.23307e6 | + | 1.87377e6i | 0.168613 | + | 0.141483i | ||||
\(707\) | 1.23551e6 | − | 7.00691e6i | 0.0929601 | − | 0.527203i | ||||
\(708\) | 3.93034e6 | + | 8.35198e6i | 0.294678 | + | 0.626191i | ||||
\(709\) | 1.06938e7 | − | 8.97317e6i | 0.798944 | − | 0.670394i | −0.148997 | − | 0.988838i | \(-0.547605\pi\) |
0.947942 | + | 0.318444i | \(0.103160\pi\) | |||||||
\(710\) | 2.29253e6 | + | 3.97078e6i | 0.170675 | + | 0.295617i | ||||
\(711\) | −4.72614e6 | − | 5.55276e6i | −0.350617 | − | 0.411941i | ||||
\(712\) | 255557. | − | 442638.i | 0.0188925 | − | 0.0327227i | ||||
\(713\) | 293729. | + | 1.66582e6i | 0.0216383 | + | 0.122717i | ||||
\(714\) | −4.94391e6 | − | 2.28429e6i | −0.362932 | − | 0.167689i | ||||
\(715\) | 2.75120e7 | − | 1.00136e7i | 2.01260 | − | 0.732526i | ||||
\(716\) | 1.14053e7 | − | 4.15121e6i | 0.831430 | − | 0.302616i | ||||
\(717\) | 4.22205e6 | − | 2.97845e6i | 0.306708 | − | 0.216368i | ||||
\(718\) | 150849. | + | 855506.i | 0.0109202 | + | 0.0619315i | ||||
\(719\) | −2.26800e6 | + | 3.92829e6i | −0.163614 | + | 0.283388i | −0.936162 | − | 0.351568i | \(-0.885649\pi\) |
0.772548 | + | 0.634956i | \(0.218982\pi\) | |||||||
\(720\) | −1.10806e7 | − | 6.29410e6i | −0.796587 | − | 0.452483i | ||||
\(721\) | −1.79391e6 | − | 3.10714e6i | −0.128518 | − | 0.222599i | ||||
\(722\) | −1.03468e6 | + | 868197.i | −0.0738689 | + | 0.0619834i | ||||
\(723\) | −5.23317e6 | + | 7.52985e6i | −0.372322 | + | 0.535723i | ||||
\(724\) | 4.48064e6 | − | 2.54110e7i | 0.317683 | − | 1.80167i | ||||
\(725\) | −1.28746e6 | − | 1.08031e6i | −0.0909680 | − | 0.0763312i | ||||
\(726\) | −320728. | + | 1.21400e6i | −0.0225837 | + | 0.0854826i | ||||
\(727\) | 1.34591e7 | + | 4.89870e6i | 0.944449 | + | 0.343751i | 0.767921 | − | 0.640544i | \(-0.221291\pi\) |
0.176528 | + | 0.984296i | \(0.443513\pi\) | |||||||
\(728\) | −1.48180e7 | −1.03625 | ||||||||
\(729\) | −302181. | − | 1.43457e7i | −0.0210595 | − | 0.999778i | ||||
\(730\) | 495794. | 0.0344345 | ||||||||
\(731\) | 4.70508e6 | + | 1.71251e6i | 0.325667 | + | 0.118533i | ||||
\(732\) | 869099. | − | 3.28967e6i | 0.0599503 | − | 0.226921i | ||||
\(733\) | −1.52981e6 | − | 1.28366e6i | −0.105167 | − | 0.0882453i | 0.588688 | − | 0.808360i | \(-0.299645\pi\) |
−0.693855 | + | 0.720115i | \(0.744089\pi\) | |||||||
\(734\) | −356022. | + | 2.01910e6i | −0.0243914 | + | 0.138331i | ||||
\(735\) | 9.85926e6 | − | 1.41862e7i | 0.673172 | − | 0.968608i | ||||
\(736\) | −8.23214e6 | + | 6.90759e6i | −0.560168 | + | 0.470037i | ||||
\(737\) | −6.35807e6 | − | 1.10125e7i | −0.431178 | − | 0.746822i | ||||
\(738\) | 281688. | + | 160007.i | 0.0190383 | + | 0.0108143i | ||||
\(739\) | −758648. | + | 1.31402e6i | −0.0511010 | + | 0.0885095i | −0.890444 | − | 0.455092i | \(-0.849606\pi\) |
0.839343 | + | 0.543601i | \(0.182940\pi\) | |||||||
\(740\) | −253005. | − | 1.43487e6i | −0.0169844 | − | 0.0963234i | ||||
\(741\) | 1.54071e7 | − | 1.08689e7i | 1.03080 | − | 0.727179i | ||||
\(742\) | −6.49466e6 | + | 2.36386e6i | −0.433058 | + | 0.157620i | ||||
\(743\) | 2.16690e7 | − | 7.88686e6i | 1.44001 | − | 0.524122i | 0.500230 | − | 0.865893i | \(-0.333249\pi\) |
0.939783 | + | 0.341771i | \(0.111027\pi\) | |||||||
\(744\) | 592744. | + | 273872.i | 0.0392586 | + | 0.0181391i | ||||
\(745\) | −4.49333e6 | − | 2.54830e7i | −0.296605 | − | 1.68213i | ||||
\(746\) | 1.83325e6 | − | 3.17528e6i | 0.120608 | − | 0.208898i | ||||
\(747\) | 5.16823e6 | + | 6.07217e6i | 0.338876 | + | 0.398146i | ||||
\(748\) | 1.11111e7 | + | 1.92451e7i | 0.726114 | + | 1.25767i | ||||
\(749\) | −6.98510e6 | + | 5.86120e6i | −0.454955 | + | 0.381752i | ||||
\(750\) | −1.30723e6 | − | 2.77786e6i | −0.0848590 | − | 0.180325i | ||||
\(751\) | 547782. | − | 3.10663e6i | 0.0354412 | − | 0.200997i | −0.961946 | − | 0.273240i | \(-0.911905\pi\) |
0.997387 | + | 0.0722432i | \(0.0230158\pi\) | |||||||
\(752\) | −6.28913e6 | − | 5.27721e6i | −0.405551 | − | 0.340298i | ||||
\(753\) | −7.79110e6 | + | 2.11696e6i | −0.500739 | + | 0.136058i | ||||
\(754\) | 5.09644e6 | + | 1.85495e6i | 0.326466 | + | 0.118824i | ||||
\(755\) | −2.34849e7 | −1.49941 | ||||||||
\(756\) | −1.52421e7 | + | 1.55665e7i | −0.969927 | + | 0.990573i | ||||
\(757\) | −1.85638e7 | −1.17741 | −0.588704 | − | 0.808349i | \(-0.700362\pi\) | ||||
−0.588704 | + | 0.808349i | \(0.700362\pi\) | |||||||
\(758\) | 4.12018e6 | + | 1.49962e6i | 0.260462 | + | 0.0948003i | ||||
\(759\) | −1.61745e7 | − | 1.60613e7i | −1.01912 | − | 1.01199i | ||||
\(760\) | 4.02779e6 | + | 3.37971e6i | 0.252949 | + | 0.212249i | ||||
\(761\) | −1.77254e6 | + | 1.00526e7i | −0.110952 | + | 0.629239i | 0.877723 | + | 0.479168i | \(0.159061\pi\) |
−0.988675 | + | 0.150071i | \(0.952050\pi\) | |||||||
\(762\) | −4.32573e6 | − | 363157.i | −0.269881 | − | 0.0226572i | ||||
\(763\) | −4.39446e6 | + | 3.68739e6i | −0.273271 | + | 0.229302i | ||||
\(764\) | 8.37649e6 | + | 1.45085e7i | 0.519193 | + | 0.899268i | ||||
\(765\) | 7.66756e6 | + | 2.06150e7i | 0.473700 | + | 1.27359i | ||||
\(766\) | −2.32113e6 | + | 4.02031e6i | −0.142931 | + | 0.247564i | ||||
\(767\) | −3.48865e6 | − | 1.97851e7i | −0.214126 | − | 1.21437i | ||||
\(768\) | −844958. | − | 9.28252e6i | −0.0516930 | − | 0.567888i | ||||
\(769\) | −310624. | + | 113058.i | −0.0189417 | + | 0.00689421i | −0.351474 | − | 0.936198i | \(-0.614319\pi\) |
0.332532 | + | 0.943092i | \(0.392097\pi\) | |||||||
\(770\) | 6.07891e6 | − | 2.21254e6i | 0.369486 | − | 0.134482i | ||||
\(771\) | 1.88571e6 | + | 2.07160e7i | 0.114246 | + | 1.25508i | ||||
\(772\) | −441224. | − | 2.50230e6i | −0.0266450 | − | 0.151111i | ||||
\(773\) | 3.37732e6 | − | 5.84968e6i | 0.203293 | − | 0.352114i | −0.746294 | − | 0.665616i | \(-0.768169\pi\) |
0.949588 | + | 0.313502i | \(0.101502\pi\) | |||||||
\(774\) | −616930. | + | 745799.i | −0.0370155 | + | 0.0447476i | ||||
\(775\) | 107501. | + | 186198.i | 0.00642924 | + | 0.0111358i | ||||
\(776\) | −2.53973e6 | + | 2.13109e6i | −0.151402 | + | 0.127042i | ||||
\(777\) | −2.35640e6 | − | 197826.i | −0.140022 | − | 0.0117552i | ||||
\(778\) | 462891. | − | 2.62519e6i | 0.0274176 | − | 0.155493i | ||||
\(779\) | 982067. | + | 824052.i | 0.0579826 | + | 0.0486531i | ||||
\(780\) | 2.07314e7 | + | 2.05864e7i | 1.22009 | + | 1.21156i | ||||
\(781\) | −2.85330e7 | − | 1.03852e7i | −1.67386 | − | 0.609237i | ||||
\(782\) | 5.68619e6 | 0.332510 | ||||||||
\(783\) | 1.47293e7 | − | 7.05816e6i | 0.858574 | − | 0.411422i | ||||
\(784\) | 1.65355e7 | 0.960790 | ||||||||
\(785\) | 2.71251e7 | + | 9.87274e6i | 1.57108 | + | 0.571825i | ||||
\(786\) | −950768. | + | 258338.i | −0.0548931 | + | 0.0149153i | ||||
\(787\) | −9.40646e6 | − | 7.89296e6i | −0.541364 | − | 0.454258i | 0.330640 | − | 0.943757i | \(-0.392735\pi\) |
−0.872004 | + | 0.489499i | \(0.837180\pi\) | |||||||
\(788\) | −2.89475e6 | + | 1.64169e7i | −0.166072 | + | 0.941838i | ||||
\(789\) | −1.00127e7 | − | 2.12771e7i | −0.572612 | − | 1.21680i | ||||
\(790\) | −1.65513e6 | + | 1.38882e6i | −0.0943550 | + | 0.0791733i | ||||
\(791\) | 1.65386e6 | + | 2.86456e6i | 0.0939846 | + | 0.162786i | ||||
\(792\) | −8.65440e6 | + | 1.58873e6i | −0.490257 | + | 0.0899988i | ||||
\(793\) | −3.70281e6 | + | 6.41346e6i | −0.209097 | + | 0.362167i | ||||
\(794\) | −690299. | − | 3.91488e6i | −0.0388585 | − | 0.220377i | ||||
\(795\) | 2.53388e7 | + | 1.17076e7i | 1.42190 | + | 0.656975i | ||||
\(796\) | −1.90802e7 | + | 6.94461e6i | −1.06733 | + | 0.388477i | ||||
\(797\) | 2.17104e6 | − | 790195.i | 0.121066 | − | 0.0440645i | −0.280777 | − | 0.959773i | \(-0.590592\pi\) |
0.401843 | + | 0.915709i | \(0.368370\pi\) | |||||||
\(798\) | 3.40426e6 | − | 2.40154e6i | 0.189241 | − | 0.133500i | ||||
\(799\) | 2.46058e6 | + | 1.39547e7i | 0.136355 | + | 0.773308i | ||||
\(800\) | −682961. | + | 1.18292e6i | −0.0377286 | + | 0.0653479i | ||||
\(801\) | 11482.1 | + | 1.63552e6i | 0.000632327 | + | 0.0900690i | ||||
\(802\) | 1.92050e6 | + | 3.32641e6i | 0.105434 | + | 0.182616i | ||||
\(803\) | −2.51520e6 | + | 2.11050e6i | −0.137652 | + | 0.115504i | ||||
\(804\) | 7.24185e6 | − | 1.04201e7i | 0.395102 | − | 0.568501i | ||||
\(805\) | −5.94824e6 | + | 3.37342e7i | −0.323518 | + | 1.83476i | ||||
\(806\) | −531494. | − | 445977.i | −0.0288178 | − | 0.0241810i | ||||
\(807\) | −2.34269e6 | + | 8.86741e6i | −0.126628 | + | 0.479306i | ||||
\(808\) | 2.69465e6 | + | 980772.i | 0.145202 | + | 0.0528494i | ||||
\(809\) | 2.17473e7 | 1.16825 | 0.584124 | − | 0.811665i | \(-0.301438\pi\) | ||||
0.584124 | + | 0.811665i | \(0.301438\pi\) | |||||||
\(810\) | −4.25131e6 | + | 59695.4i | −0.227672 | + | 0.00319689i | ||||
\(811\) | 1.35287e7 | 0.722275 | 0.361138 | − | 0.932512i | \(-0.382388\pi\) | ||||
0.361138 | + | 0.932512i | \(0.382388\pi\) | |||||||
\(812\) | −2.33032e7 | − | 8.48168e6i | −1.24030 | − | 0.451431i | ||||
\(813\) | −3.25766e6 | + | 1.23307e7i | −0.172854 | + | 0.654279i | ||||
\(814\) | −357177. | − | 299707.i | −0.0188940 | − | 0.0158539i | ||||
\(815\) | 2.37637e6 | − | 1.34771e7i | 0.125320 | − | 0.710726i | ||||
\(816\) | −1.20145e7 | + | 1.72873e7i | −0.631655 | + | 0.908870i | ||||
\(817\) | −2.93412e6 | + | 2.46202e6i | −0.153788 | + | 0.129043i | ||||
\(818\) | −2.89564e6 | − | 5.01540e6i | −0.151308 | − | 0.262073i | ||||
\(819\) | 4.08974e7 | − | 2.39965e7i | 2.13052 | − | 1.25008i | ||||
\(820\) | −993242. | + | 1.72035e6i | −0.0515847 | + | 0.0893472i | ||||
\(821\) | −1.71677e6 | − | 9.73628e6i | −0.0888902 | − | 0.504121i | −0.996449 | − | 0.0841967i | \(-0.973168\pi\) |
0.907559 | − | 0.419925i | \(-0.137944\pi\) | |||||||
\(822\) | 1.95059e6 | − | 1.37605e6i | 0.100690 | − | 0.0710321i | ||||
\(823\) | −914052. | + | 332688.i | −0.0470404 | + | 0.0171213i | −0.365433 | − | 0.930838i | \(-0.619079\pi\) |
0.318393 | + | 0.947959i | \(0.396857\pi\) | |||||||
\(824\) | 1.35881e6 | − | 494565.i | 0.0697172 | − | 0.0253750i | ||||
\(825\) | −2.63013e6 | − | 1.21523e6i | −0.134537 | − | 0.0621617i | ||||
\(826\) | −770834. | − | 4.37161e6i | −0.0393107 | − | 0.222942i | ||||
\(827\) | −1.04990e7 | + | 1.81848e7i | −0.533808 | + | 0.924583i | 0.465412 | + | 0.885094i | \(0.345906\pi\) |
−0.999220 | + | 0.0394885i | \(0.987427\pi\) | |||||||
\(828\) | 7.62951e6 | − | 2.14288e7i | 0.386741 | − | 1.08623i | ||||
\(829\) | −1.07709e7 | − | 1.86558e7i | −0.544335 | − | 0.942817i | −0.998648 | − | 0.0519745i | \(-0.983449\pi\) |
0.454313 | − | 0.890842i | \(-0.349885\pi\) | |||||||
\(830\) | 1.80995e6 | − | 1.51873e6i | 0.0911953 | − | 0.0765219i | ||||
\(831\) | 1.50136e7 | + | 3.19039e7i | 0.754192 | + | 1.60266i | ||||
\(832\) | −4.32520e6 | + | 2.45294e7i | −0.216619 | + | 1.22851i | ||||
\(833\) | −2.18627e7 | − | 1.83450e7i | −1.09167 | − | 0.916020i | ||||
\(834\) | −1.80948e6 | + | 491662.i | −0.0900819 | + | 0.0244766i | ||||
\(835\) | 1.40217e7 | + | 5.10349e6i | 0.695962 | + | 0.253309i | ||||
\(836\) | −1.69993e7 | −0.841231 | ||||||||
\(837\) | −2.07947e6 | + | 204017.i | −0.102598 | + | 0.0100659i | ||||
\(838\) | 5.26084e6 | 0.258789 | ||||||||
\(839\) | −1.62170e7 | − | 5.90249e6i | −0.795361 | − | 0.289488i | −0.0877985 | − | 0.996138i | \(-0.527983\pi\) |
−0.707563 | + | 0.706650i | \(0.750205\pi\) | |||||||
\(840\) | 9.38275e6 | + | 9.31711e6i | 0.458809 | + | 0.455599i | ||||
\(841\) | −1.47042e6 | − | 1.23383e6i | −0.0716886 | − | 0.0601539i | ||||
\(842\) | −515558. | + | 2.92387e6i | −0.0250609 | + | 0.142128i | ||||
\(843\) | −1.32426e7 | − | 1.11175e6i | −0.641808 | − | 0.0538815i | ||||
\(844\) | 1.59718e7 | − | 1.34019e7i | 0.771786 | − | 0.647605i | ||||
\(845\) | −2.07885e7 | − | 3.60067e7i | −1.00157 | − | 1.73477i | ||||
\(846\) | −2.70080e6 | − | 456698.i | −0.129738 | − | 0.0219383i | ||||
\(847\) | −6.24811e6 | + | 1.08220e7i | −0.299254 | + | 0.518323i | ||||
\(848\) | 4.63930e6 | + | 2.63108e7i | 0.221546 | + | 1.25645i | ||||
\(849\) | 3.29427e6 | + | 3.61902e7i | 0.156852 | + | 1.72314i | ||||
\(850\) | 679164. | − | 247195.i | 0.0322424 | − | 0.0117353i | ||||
\(851\) | 2.32004e6 | − | 844424.i | 0.109817 | − | 0.0399702i | ||||
\(852\) | −2.74680e6 | − | 3.01757e7i | −0.129637 | − | 1.42416i | ||||
\(853\) | 1.43620e6 | + | 8.14511e6i | 0.0675839 | + | 0.383287i | 0.999773 | + | 0.0213152i | \(0.00678534\pi\) |
−0.932189 | + | 0.361972i | \(0.882104\pi\) | |||||||
\(854\) | −818153. | + | 1.41708e6i | −0.0383875 | + | 0.0664891i | ||||
\(855\) | −1.65897e7 | − | 2.80528e6i | −0.776111 | − | 0.131238i | ||||
\(856\) | −1.83751e6 | − | 3.18266e6i | −0.0857128 | − | 0.148459i | ||||
\(857\) | −1.27563e6 | + | 1.07038e6i | −0.0593299 | + | 0.0497837i | −0.671970 | − | 0.740578i | \(-0.734552\pi\) |
0.612641 | + | 0.790362i | \(0.290107\pi\) | |||||||
\(858\) | 9.31687e6 | + | 782176.i | 0.432068 | + | 0.0362732i | ||||
\(859\) | 807321. | − | 4.57855e6i | 0.0373305 | − | 0.211712i | −0.960437 | − | 0.278498i | \(-0.910163\pi\) |
0.997767 | + | 0.0667863i | \(0.0212746\pi\) | |||||||
\(860\) | −4.54648e6 | − | 3.81495e6i | −0.209618 | − | 0.175891i | ||||
\(861\) | 2.28773e6 | + | 2.27172e6i | 0.105171 | + | 0.104435i | ||||
\(862\) | −1.61826e6 | − | 588998.i | −0.0741788 | − | 0.0269989i | ||||
\(863\) | 3.50301e7 | 1.60109 | 0.800543 | − | 0.599275i | \(-0.204544\pi\) | ||||
0.800543 | + | 0.599275i | \(0.204544\pi\) | |||||||
\(864\) | −7.72797e6 | − | 1.07930e7i | −0.352193 | − | 0.491877i | ||||
\(865\) | 7.47781e6 | 0.339808 | ||||||||
\(866\) | −4.72141e6 | − | 1.71845e6i | −0.213933 | − | 0.0778652i | ||||
\(867\) | 1.37052e7 | − | 3.72390e6i | 0.619209 | − | 0.168248i | ||||
\(868\) | 2.43023e6 | + | 2.03921e6i | 0.109483 | + | 0.0918676i | ||||
\(869\) | 2.48465e6 | − | 1.40912e7i | 0.111613 | − | 0.632991i | ||||
\(870\) | −2.06072e6 | − | 4.37902e6i | −0.0923039 | − | 0.196146i | ||||
\(871\) | −2.11571e7 | + | 1.77529e7i | −0.944955 | + | 0.792912i | ||||
\(872\) | −1.15601e6 | − | 2.00227e6i | −0.0514839 | − | 0.0891728i | ||||
\(873\) | 3.55848e6 | − | 9.99460e6i | 0.158026 | − | 0.443844i | ||||
\(874\) | −2.17487e6 | + | 3.76699e6i | −0.0963063 | + | 0.166807i | ||||
\(875\) | −5.30551e6 | − | 3.00891e7i | −0.234265 | − | 1.32858i | ||||
\(876\) | −2.97433e6 | − | 1.37426e6i | −0.130957 | − | 0.0605076i | ||||
\(877\) | −2.34699e7 | + | 8.54233e6i | −1.03041 | + | 0.375040i | −0.801238 | − | 0.598345i | \(-0.795825\pi\) |
−0.229175 | + | 0.973385i | \(0.573603\pi\) | |||||||
\(878\) | −1.34323e6 | + | 488895.i | −0.0588049 | + | 0.0214032i | ||||
\(879\) | 3.21985e7 | − | 2.27145e7i | 1.40560 | − | 0.991586i | ||||
\(880\) | −4.34232e6 | − | 2.46265e7i | −0.189023 | − | 1.07200i | ||||
\(881\) | −106990. | + | 185313.i | −0.00464413 | + | 0.00804387i | −0.868338 | − | 0.495973i | \(-0.834812\pi\) |
0.863694 | + | 0.504017i | \(0.168145\pi\) | |||||||
\(882\) | 4.75831e6 | − | 2.79193e6i | 0.205959 | − | 0.120846i | ||||
\(883\) | −9.59279e6 | − | 1.66152e7i | −0.414041 | − | 0.717140i | 0.581286 | − | 0.813699i | \(-0.302550\pi\) |
−0.995327 | + | 0.0965592i | \(0.969216\pi\) | |||||||
\(884\) | 3.69735e7 | − | 3.10244e7i | 1.59133 | − | 1.33528i | ||||
\(885\) | −1.02312e7 | + | 1.47214e7i | −0.439107 | + | 0.631818i | ||||
\(886\) | −1.28020e6 | + | 7.26038e6i | −0.0547891 | + | 0.310724i | ||||
\(887\) | 8.91410e6 | + | 7.47982e6i | 0.380424 | + | 0.319214i | 0.812869 | − | 0.582446i | \(-0.197904\pi\) |
−0.432445 | + | 0.901661i | \(0.642349\pi\) | |||||||
\(888\) | 243435. | − | 921437.i | 0.0103598 | − | 0.0392133i | ||||
\(889\) | −4.05956e7 | − | 1.47756e7i | −1.72276 | − | 0.627033i | ||||
\(890\) | 484634. | 0.0205088 | ||||||||
\(891\) | 2.13131e7 | − | 1.83999e7i | 0.899399 | − | 0.776463i | ||||
\(892\) | 1.88227e7 | 0.792082 | ||||||||
\(893\) | −1.01858e7 | − | 3.70733e6i | −0.427432 | − | 0.155573i | ||||
\(894\) | 2.11069e6 | − | 7.98925e6i | 0.0883242 | − | 0.334320i | ||||
\(895\) | 1.80581e7 | + | 1.51525e7i | 0.753552 | + | 0.632305i | ||||
\(896\) | −4.62462e6 | + | 2.62275e7i | −0.192445 | + | 1.09141i | ||||
\(897\) | −2.82540e7 | + | 4.06539e7i | −1.17246 | + | 1.68702i | ||||
\(898\) | 4.00063e6 | − | 3.35693e6i | 0.165553 | − | 0.138916i | ||||
\(899\) | −1.18919e6 | − | 2.05974e6i | −0.0490742 | − | 0.0849989i | ||||
\(900\) | −20297.3 | − | 2.89115e6i | −0.000835278 | − | 0.118977i | ||||
\(901\) | 2.30560e7 | − | 3.99342e7i | 0.946176 | − | 1.63883i | ||||
\(902\) | 110389. | + | 626047.i | 0.00451762 | + | 0.0256207i | ||||
\(903\) | −7.87100e6 | + | 5.55261e6i | −0.321226 | + | 0.226609i | ||||
\(904\) | −1.25272e6 | + | 455954.i | −0.0509840 | + | 0.0185567i | ||||
\(905\) | 4.70923e7 | − | 1.71402e7i | 1.91130 | − | 0.695656i | ||||
\(906\) | −6.80816e6 | − | 3.14565e6i | −0.275556 | − | 0.127318i | ||||
\(907\) | −32817.6 | − | 186118.i | −0.00132461 | − | 0.00751225i | 0.984138 | − | 0.177403i | \(-0.0567696\pi\) |
−0.985463 | + | 0.169891i | \(0.945659\pi\) | |||||||
\(908\) | −1.69034e7 | + | 2.92776e7i | −0.680393 | + | 1.17848i | ||||
\(909\) | −9.02543e6 | + | 1.65684e6i | −0.362292 | + | 0.0665076i | ||||
\(910\) | −7.02517e6 | − | 1.21680e7i | −0.281225 | − | 0.487095i | ||||
\(911\) | 6.44411e6 | − | 5.40725e6i | 0.257257 | − | 0.215864i | −0.505033 | − | 0.863100i | \(-0.668520\pi\) |
0.762290 | + | 0.647236i | \(0.224075\pi\) | |||||||
\(912\) | −6.85716e6 | − | 1.45715e7i | −0.272996 | − | 0.580117i | ||||
\(913\) | −2.71707e6 | + | 1.54093e7i | −0.107876 | + | 0.611794i | ||||
\(914\) | 6.06730e6 | + | 5.09107e6i | 0.240232 | + | 0.201578i | ||||
\(915\) | 6.37719e6 | − | 1.73278e6i | 0.251812 | − | 0.0684211i | ||||
\(916\) | 9.59999e6 | + | 3.49411e6i | 0.378035 | + | 0.137593i | ||||
\(917\) | −9.80507e6 | −0.385059 | ||||||||
\(918\) | −538456. | + | 7.00322e6i | −0.0210884 | + | 0.274278i | ||||
\(919\) | 2.13773e7 | 0.834958 | 0.417479 | − | 0.908687i | \(-0.362914\pi\) | ||||
0.417479 | + | 0.908687i | \(0.362914\pi\) | |||||||
\(920\) | −1.29732e7 | − | 4.72184e6i | −0.505331 | − | 0.183926i | ||||
\(921\) | −3.05938e7 | − | 3.03797e7i | −1.18846 | − | 1.18014i | ||||
\(922\) | −1.09028e6 | − | 914853.i | −0.0422387 | − | 0.0354425i | ||||
\(923\) | −1.14519e7 | + | 6.49472e7i | −0.442461 | + | 2.50932i | ||||
\(924\) | −4.26009e7 | − | 3.57646e6i | −1.64149 | − | 0.137808i | ||||
\(925\) | 240398. | − | 201717.i | 0.00923795 | − | 0.00775156i | ||||
\(926\) | 2.36005e6 | + | 4.08773e6i | 0.0904470 | + | 0.156659i | ||||
\(927\) | −2.94937e6 | + | 3.56545e6i | −0.112727 | + | 0.136275i | ||||
\(928\) | 7.55500e6 | − | 1.30856e7i | 0.287982 | − | 0.498799i | ||||
\(929\) | 2.90932e6 | + | 1.64995e7i | 0.110599 | + | 0.627238i | 0.988835 | + | 0.149012i | \(0.0476092\pi\) |
−0.878236 | + | 0.478227i | \(0.841280\pi\) | |||||||
\(930\) | 56125.1 | + | 616578.i | 0.00212789 | + | 0.0233765i | ||||
\(931\) | 2.05153e7 | − | 7.46696e6i | 0.775717 | − | 0.282338i | ||||
\(932\) | 4.32073e7 | − | 1.57262e7i | 1.62936 | − | 0.593038i | ||||
\(933\) | 2.52426e6 | + | 2.77310e7i | 0.0949358 | + | 1.04294i | ||||
\(934\) | 242296. | + | 1.37413e6i | 0.00908823 | + | 0.0515419i | ||||
\(935\) | −2.15801e7 | + | 3.73778e7i | −0.807280 | + | 1.39825i | ||||
\(936\) | 6.66223e6 | + | 1.79120e7i | 0.248559 | + | 0.668276i | ||||
\(937\) | 2.65858e7 | + | 4.60479e7i | 0.989236 | + | 1.71341i | 0.621340 | + | 0.783541i | \(0.286589\pi\) |
0.367896 | + | 0.929867i | \(0.380078\pi\) | |||||||
\(938\) | −4.67476e6 | + | 3.92259e6i | −0.173481 | + | 0.145568i | ||||
\(939\) | −2.27191e7 | − | 1.90733e6i | −0.840868 | − | 0.0705931i | ||||
\(940\) | 2.91661e6 | − | 1.65409e7i | 0.107661 | − | 0.610576i | ||||
\(941\) | 1.18269e7 | + | 9.92394e6i | 0.435408 | + | 0.365351i | 0.833988 | − | 0.551783i | \(-0.186052\pi\) |
−0.398580 | + | 0.917134i | \(0.630497\pi\) | |||||||
\(942\) | 6.54106e6 | + | 6.49530e6i | 0.240171 | + | 0.238491i | ||||
\(943\) | −3.16315e6 | − | 1.15129e6i | −0.115835 | − | 0.0421606i | ||||
\(944\) | −1.71594e7 | −0.626718 | ||||||||
\(945\) | −4.09843e7 | − | 1.05204e7i | −1.49293 | − | 0.383225i | ||||
\(946\) | −1.89929e6 | −0.0690024 | ||||||||
\(947\) | −2.14865e7 | − | 7.82044e6i | −0.778557 | − | 0.283372i | −0.0779861 | − | 0.996954i | \(-0.524849\pi\) |
−0.700571 | + | 0.713583i | \(0.747071\pi\) | |||||||
\(948\) | 1.37789e7 | − | 3.74394e6i | 0.497961 | − | 0.135303i | ||||
\(949\) | 5.46285e6 | + | 4.58388e6i | 0.196904 | + | 0.165222i | ||||
\(950\) | −96006.5 | + | 544480.i | −0.00345137 | + | 0.0195737i | ||||
\(951\) | −1.49954e7 | − | 3.18652e7i | −0.537659 | − | 1.14253i | ||||
\(952\) | 1.67337e7 | − | 1.40412e7i | 0.598410 | − | 0.502126i | ||||
\(953\) | 3.82721e6 | + | 6.62892e6i | 0.136505 | + | 0.236434i | 0.926172 | − | 0.377103i | \(-0.123080\pi\) |
−0.789666 | + | 0.613537i | \(0.789746\pi\) | |||||||
\(954\) | 5.77745e6 | + | 6.78794e6i | 0.205525 | + | 0.241472i | ||||
\(955\) | −1.62688e7 | + | 2.81784e7i | −0.577228 | + | 0.999789i | ||||
\(956\) | 1.75692e6 | + | 9.96399e6i | 0.0621738 | + | 0.352605i | ||||
\(957\) | 2.90948e7 | + | 1.34430e7i | 1.02692 | + | 0.474478i | ||||
\(958\) | 5.03758e6 | − | 1.83353e6i | 0.177341 | − | 0.0645467i | ||||
\(959\) | 2.23238e7 | − | 8.12520e6i | 0.783830 | − | 0.285291i | ||||
\(960\) | 1.81620e7 | − | 1.28124e7i | 0.636042 | − | 0.448697i | ||||
\(961\) | −4.91857e6 | − | 2.78946e7i | −0.171803 | − | 0.974342i | ||||
\(962\) | −506346. | + | 877017.i | −0.0176404 | + | 0.0305542i | ||||
\(963\) | 1.02255e7 | + | 5.80838e6i | 0.355320 | + | 0.201832i | ||||
\(964\) | −8.97801e6 | − | 1.55504e7i | −0.311163 | − | 0.538950i | ||||
\(965\) | 3.78039e6 | − | 3.17213e6i | 0.130683 | − | 0.109656i | ||||
\(966\) | −6.24285e6 | + | 8.98265e6i | −0.215248 | + | 0.309715i | ||||
\(967\) | 6.31152e6 | − | 3.57944e7i | 0.217054 | − | 1.23097i | −0.660252 | − | 0.751044i | \(-0.729551\pi\) |
0.877306 | − | 0.479931i | \(-0.159338\pi\) | |||||||
\(968\) | −3.85810e6 | − | 3.23733e6i | −0.132338 | − | 0.111045i | ||||
\(969\) | −7.09969e6 | + | 2.68734e7i | −0.242901 | + | 0.919418i | ||||
\(970\) | −2.95403e6 | − | 1.07518e6i | −0.100806 | − | 0.0366903i | ||||
\(971\) | −5.35242e7 | −1.82181 | −0.910903 | − | 0.412620i | \(-0.864614\pi\) | ||||
−0.910903 | + | 0.412620i | \(0.864614\pi\) | |||||||
\(972\) | 2.56696e7 | + | 1.14259e7i | 0.871473 | + | 0.387903i | ||||
\(973\) | −1.86608e7 | −0.631898 | ||||||||
\(974\) | −986295. | − | 358982.i | −0.0333127 | − | 0.0121248i | ||||
\(975\) | −1.60734e6 | + | 6.08402e6i | −0.0541497 | + | 0.204965i | ||||
\(976\) | 4.84541e6 | + | 4.06578e6i | 0.162819 | + | 0.136622i | ||||
\(977\) | 279655. | − | 1.58600e6i | 0.00937316 | − | 0.0531578i | −0.979762 | − | 0.200164i | \(-0.935853\pi\) |
0.989136 | + | 0.147006i | \(0.0469637\pi\) | |||||||
\(978\) | 2.49407e6 | − | 3.58865e6i | 0.0833800 | − | 0.119973i | ||||
\(979\) | −2.45858e6 | + | 2.06300e6i | −0.0819838 | + | 0.0687926i | ||||
\(980\) | 1.69145e7 | + | 2.92968e7i | 0.562594 | + | 0.974441i | ||||
\(981\) | 6.43307e6 | + | 3.65416e6i | 0.213425 | + | 0.121231i | ||||
\(982\) | −2.94751e6 | + | 5.10523e6i | −0.0975385 | + | 0.168942i | ||||
\(983\) | −4.60867e6 | − | 2.61371e7i | −0.152122 | − | 0.862726i | −0.961370 | − | 0.275259i | \(-0.911236\pi\) |
0.809248 | − | 0.587467i | \(-0.199875\pi\) | |||||||
\(984\) | −1.06178e6 | + | 749035.i | −0.0349580 | + | 0.0246612i | ||||
\(985\) | −3.04243e7 | + | 1.10735e7i | −0.999148 | + | 0.363660i | ||||
\(986\) | −7.51299e6 | + | 2.73451e6i | −0.246105 | + | 0.0895749i | ||||
\(987\) | −2.47461e7 | − | 1.14337e7i | −0.808563 | − | 0.373589i | ||||
\(988\) | 6.41133e6 | + | 3.63605e7i | 0.208957 | + | 1.18505i | ||||
\(989\) | 5.02853e6 | − | 8.70966e6i | 0.163474 | − | 0.283146i | ||||
\(990\) | −5.40761e6 | − | 6.35341e6i | −0.175355 | − | 0.206025i | ||||
\(991\) | 8.90466e6 | + | 1.54233e7i | 0.288027 | + | 0.498877i | 0.973339 | − | 0.229373i | \(-0.0736674\pi\) |
−0.685312 | + | 0.728250i | \(0.740334\pi\) | |||||||
\(992\) | −1.48075e6 | + | 1.24250e6i | −0.0477753 | + | 0.0400882i | ||||
\(993\) | 1.38306e7 | + | 2.93900e7i | 0.445111 | + | 0.945861i | ||||
\(994\) | −2.53036e6 | + | 1.43504e7i | −0.0812300 | + | 0.460678i | ||||
\(995\) | −3.02096e7 | − | 2.53488e7i | −0.967357 | − | 0.811709i | ||||
\(996\) | −1.50678e7 | + | 4.09415e6i | −0.481285 | + | 0.130772i | ||||
\(997\) | −5.80753e6 | − | 2.11377e6i | −0.185035 | − | 0.0673472i | 0.247841 | − | 0.968801i | \(-0.420279\pi\) |
−0.432876 | + | 0.901454i | \(0.642501\pi\) | |||||||
\(998\) | −1.03489e6 | −0.0328902 | ||||||||
\(999\) | 820312. | + | 2.93736e6i | 0.0260055 | + | 0.0931202i |
(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 | 27.6.e.a.4.6 | ✓ | 84 | |
3.2 | odd | 2 | 81.6.e.a.64.9 | 84 | |||
27.7 | even | 9 | inner | 27.6.e.a.7.6 | yes | 84 | |
27.13 | even | 9 | 729.6.a.c.1.23 | 42 | |||
27.14 | odd | 18 | 729.6.a.e.1.20 | 42 | |||
27.20 | odd | 18 | 81.6.e.a.19.9 | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.6.e.a.4.6 | ✓ | 84 | 1.1 | even | 1 | trivial | |
27.6.e.a.7.6 | yes | 84 | 27.7 | even | 9 | inner | |
81.6.e.a.19.9 | 84 | 27.20 | odd | 18 | |||
81.6.e.a.64.9 | 84 | 3.2 | odd | 2 | |||
729.6.a.c.1.23 | 42 | 27.13 | even | 9 | |||
729.6.a.e.1.20 | 42 | 27.14 | odd | 18 |