Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(4,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.g (of order \(27\), degree \(18\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 22.7 | ||
Character | \(\chi\) | \(=\) | 81.22 |
Dual form | 81.2.g.a.70.7 |
$q$-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 \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.18946 | + | 1.26075i | 0.841072 | + | 0.891484i | 0.995328 | − | 0.0965464i | \(-0.0307796\pi\) |
−0.154256 | + | 0.988031i | \(0.549298\pi\) | |||||||
\(3\) | −1.21404 | + | 1.23536i | −0.700927 | + | 0.713233i | ||||
\(4\) | −0.0583945 | + | 1.00259i | −0.0291973 | + | 0.501297i | ||||
\(5\) | −1.90198 | + | 0.222310i | −0.850593 | + | 0.0994200i | −0.530208 | − | 0.847868i | \(-0.677886\pi\) |
−0.320384 | + | 0.947288i | \(0.603812\pi\) | |||||||
\(6\) | −3.00152 | − | 0.0611997i | −1.22537 | − | 0.0249847i | ||||
\(7\) | 4.00096 | + | 2.00936i | 1.51222 | + | 0.759466i | 0.995325 | − | 0.0965812i | \(-0.0307907\pi\) |
0.516897 | + | 0.856048i | \(0.327087\pi\) | |||||||
\(8\) | 1.32208 | − | 1.10935i | 0.467424 | − | 0.392216i | ||||
\(9\) | −0.0522099 | − | 2.99955i | −0.0174033 | − | 0.999849i | ||||
\(10\) | −2.54260 | − | 2.13350i | −0.804041 | − | 0.674671i | ||||
\(11\) | −2.00874 | − | 4.65678i | −0.605658 | − | 1.40407i | −0.894661 | − | 0.446745i | \(-0.852583\pi\) |
0.289003 | − | 0.957328i | \(-0.406676\pi\) | |||||||
\(12\) | −1.16767 | − | 1.28933i | −0.337077 | − | 0.372197i | ||||
\(13\) | −1.48825 | − | 0.352721i | −0.412766 | − | 0.0978273i | 0.0189861 | − | 0.999820i | \(-0.493956\pi\) |
−0.431752 | + | 0.901992i | \(0.642104\pi\) | |||||||
\(14\) | 2.22567 | + | 7.43426i | 0.594835 | + | 1.98689i | ||||
\(15\) | 2.03445 | − | 2.61952i | 0.525293 | − | 0.676357i | ||||
\(16\) | 4.96617 | + | 0.580462i | 1.24154 | + | 0.145116i | ||||
\(17\) | −0.703634 | + | 3.99050i | −0.170656 | + | 0.967839i | 0.772383 | + | 0.635157i | \(0.219065\pi\) |
−0.943039 | + | 0.332682i | \(0.892046\pi\) | |||||||
\(18\) | 3.71957 | − | 3.63365i | 0.876712 | − | 0.856460i | ||||
\(19\) | −0.430351 | − | 2.44064i | −0.0987294 | − | 0.559922i | −0.993541 | − | 0.113477i | \(-0.963801\pi\) |
0.894811 | − | 0.446445i | \(-0.147310\pi\) | |||||||
\(20\) | −0.111821 | − | 1.91990i | −0.0250040 | − | 0.429303i | ||||
\(21\) | −7.33961 | + | 2.50317i | −1.60163 | + | 0.546237i | ||||
\(22\) | 3.48173 | − | 8.07156i | 0.742307 | − | 1.72086i | ||||
\(23\) | −1.51629 | + | 0.761509i | −0.316168 | + | 0.158786i | −0.599805 | − | 0.800146i | \(-0.704755\pi\) |
0.283637 | + | 0.958932i | \(0.408459\pi\) | |||||||
\(24\) | −0.234607 | + | 2.98003i | −0.0478890 | + | 0.608297i | ||||
\(25\) | −1.29711 | + | 0.307420i | −0.259422 | + | 0.0614840i | ||||
\(26\) | −1.32551 | − | 2.29585i | −0.259954 | − | 0.450254i | ||||
\(27\) | 3.76889 | + | 3.57707i | 0.725324 | + | 0.688408i | ||||
\(28\) | −2.24821 | + | 3.89401i | −0.424871 | + | 0.735899i | ||||
\(29\) | −0.835763 | + | 2.79164i | −0.155197 | + | 0.518395i | −0.999857 | − | 0.0169086i | \(-0.994618\pi\) |
0.844660 | + | 0.535303i | \(0.179803\pi\) | |||||||
\(30\) | 5.72245 | − | 0.550867i | 1.04477 | − | 0.100574i | ||||
\(31\) | −4.90820 | − | 3.22817i | −0.881539 | − | 0.579797i | 0.0260486 | − | 0.999661i | \(-0.491708\pi\) |
−0.907587 | + | 0.419864i | \(0.862078\pi\) | |||||||
\(32\) | 3.11402 | + | 4.18285i | 0.550486 | + | 0.739431i | ||||
\(33\) | 8.19148 | + | 3.17202i | 1.42595 | + | 0.552177i | ||||
\(34\) | −5.86797 | + | 3.85942i | −1.00635 | + | 0.661885i | ||||
\(35\) | −8.05646 | − | 2.93231i | −1.36179 | − | 0.495651i | ||||
\(36\) | 3.01038 | + | 0.122812i | 0.501730 | + | 0.0204686i | ||||
\(37\) | −3.32347 | + | 1.20965i | −0.546376 | + | 0.198865i | −0.600436 | − | 0.799673i | \(-0.705006\pi\) |
0.0540597 | + | 0.998538i | \(0.482784\pi\) | |||||||
\(38\) | 2.56516 | − | 3.44560i | 0.416123 | − | 0.558951i | ||||
\(39\) | 2.24253 | − | 1.41030i | 0.359092 | − | 0.225828i | ||||
\(40\) | −2.26794 | + | 2.40388i | −0.358594 | + | 0.380087i | ||||
\(41\) | 3.07496 | − | 3.25927i | 0.480228 | − | 0.509012i | −0.441281 | − | 0.897369i | \(-0.645476\pi\) |
0.921509 | + | 0.388357i | \(0.126957\pi\) | |||||||
\(42\) | −11.8860 | − | 6.27599i | −1.83405 | − | 0.968407i | ||||
\(43\) | 2.67058 | − | 3.58722i | 0.407260 | − | 0.547045i | −0.550417 | − | 0.834890i | \(-0.685531\pi\) |
0.957677 | + | 0.287845i | \(0.0929386\pi\) | |||||||
\(44\) | 4.78617 | − | 1.74202i | 0.721542 | − | 0.262620i | ||||
\(45\) | 0.766131 | + | 5.69348i | 0.114208 | + | 0.848733i | ||||
\(46\) | −2.76363 | − | 1.00588i | −0.407475 | − | 0.148309i | ||||
\(47\) | 2.58030 | − | 1.69709i | 0.376376 | − | 0.247546i | −0.347200 | − | 0.937791i | \(-0.612868\pi\) |
0.723576 | + | 0.690245i | \(0.242497\pi\) | |||||||
\(48\) | −6.74622 | + | 5.43029i | −0.973732 | + | 0.783795i | ||||
\(49\) | 7.79007 | + | 10.4639i | 1.11287 | + | 1.49484i | ||||
\(50\) | −1.93043 | − | 1.26967i | −0.273004 | − | 0.179558i | ||||
\(51\) | −4.07545 | − | 5.71387i | −0.570678 | − | 0.800102i | ||||
\(52\) | 0.440542 | − | 1.47151i | 0.0610922 | − | 0.204062i | ||||
\(53\) | −1.49945 | + | 2.59712i | −0.205965 | + | 0.356742i | −0.950440 | − | 0.310908i | \(-0.899367\pi\) |
0.744475 | + | 0.667651i | \(0.232700\pi\) | |||||||
\(54\) | −0.0268624 | + | 9.00640i | −0.00365550 | + | 1.22562i | ||||
\(55\) | 4.85584 | + | 8.41056i | 0.654761 | + | 1.13408i | ||||
\(56\) | 7.51867 | − | 1.78196i | 1.00472 | − | 0.238124i | ||||
\(57\) | 3.53753 | + | 2.43140i | 0.468557 | + | 0.322047i | ||||
\(58\) | −4.51366 | + | 2.26685i | −0.592673 | + | 0.297652i | ||||
\(59\) | −0.820341 | + | 1.90176i | −0.106799 | + | 0.247589i | −0.963232 | − | 0.268669i | \(-0.913416\pi\) |
0.856433 | + | 0.516258i | \(0.172675\pi\) | |||||||
\(60\) | 2.50752 | + | 2.19270i | 0.323719 | + | 0.283076i | ||||
\(61\) | 0.490155 | + | 8.41564i | 0.0627579 | + | 1.07751i | 0.871832 | + | 0.489805i | \(0.162932\pi\) |
−0.809074 | + | 0.587707i | \(0.800031\pi\) | |||||||
\(62\) | −1.76817 | − | 10.0278i | −0.224558 | − | 1.27353i | ||||
\(63\) | 5.81828 | − | 12.1060i | 0.733034 | − | 1.52521i | ||||
\(64\) | 0.166934 | − | 0.946731i | 0.0208668 | − | 0.118341i | ||||
\(65\) | 2.90903 | + | 0.340017i | 0.360821 | + | 0.0421740i | ||||
\(66\) | 5.74428 | + | 14.1004i | 0.707073 | + | 1.73564i | ||||
\(67\) | −3.13268 | − | 10.4639i | −0.382718 | − | 1.27837i | −0.904933 | − | 0.425553i | \(-0.860080\pi\) |
0.522216 | − | 0.852813i | \(-0.325106\pi\) | |||||||
\(68\) | −3.95977 | − | 0.938483i | −0.480193 | − | 0.113808i | ||||
\(69\) | 0.900102 | − | 2.79766i | 0.108360 | − | 0.336799i | ||||
\(70\) | −5.88589 | − | 13.6450i | −0.703499 | − | 1.63089i | ||||
\(71\) | −0.318443 | − | 0.267206i | −0.0377922 | − | 0.0317115i | 0.623696 | − | 0.781667i | \(-0.285630\pi\) |
−0.661488 | + | 0.749956i | \(0.730075\pi\) | |||||||
\(72\) | −3.39658 | − | 3.90771i | −0.400291 | − | 0.460528i | ||||
\(73\) | −6.86923 | + | 5.76397i | −0.803983 | + | 0.674622i | −0.949164 | − | 0.314783i | \(-0.898068\pi\) |
0.145181 | + | 0.989405i | \(0.453624\pi\) | |||||||
\(74\) | −5.47819 | − | 2.75125i | −0.636826 | − | 0.319826i | ||||
\(75\) | 1.19497 | − | 1.97561i | 0.137983 | − | 0.228124i | ||||
\(76\) | 2.47211 | − | 0.288948i | 0.283570 | − | 0.0331446i | ||||
\(77\) | 1.32025 | − | 22.6679i | 0.150457 | − | 2.58325i | ||||
\(78\) | 4.44542 | + | 1.14978i | 0.503345 | + | 0.130187i | ||||
\(79\) | 10.7891 | + | 11.4358i | 1.21387 | + | 1.28663i | 0.946376 | + | 0.323068i | \(0.104714\pi\) |
0.267495 | + | 0.963559i | \(0.413804\pi\) | |||||||
\(80\) | −9.57462 | −1.07047 | ||||||||
\(81\) | −8.99455 | + | 0.313212i | −0.999394 | + | 0.0348013i | ||||
\(82\) | 7.76664 | 0.857682 | ||||||||
\(83\) | 5.35944 | + | 5.68067i | 0.588275 | + | 0.623535i | 0.951308 | − | 0.308241i | \(-0.0997404\pi\) |
−0.363034 | + | 0.931776i | \(0.618259\pi\) | |||||||
\(84\) | −2.08107 | − | 7.50482i | −0.227064 | − | 0.818843i | ||||
\(85\) | 0.451170 | − | 7.74629i | 0.0489363 | − | 0.840204i | ||||
\(86\) | 7.69912 | − | 0.899898i | 0.830218 | − | 0.0970385i | ||||
\(87\) | −2.43402 | − | 4.42163i | −0.260955 | − | 0.474049i | ||||
\(88\) | −7.82172 | − | 3.92822i | −0.833799 | − | 0.418749i | ||||
\(89\) | 2.88557 | − | 2.42128i | 0.305869 | − | 0.256655i | −0.476913 | − | 0.878951i | \(-0.658244\pi\) |
0.782782 | + | 0.622296i | \(0.213800\pi\) | |||||||
\(90\) | −6.26677 | + | 7.73804i | −0.660575 | + | 0.815661i | ||||
\(91\) | −5.24568 | − | 4.40165i | −0.549897 | − | 0.461418i | ||||
\(92\) | −0.674942 | − | 1.56469i | −0.0703676 | − | 0.163130i | ||||
\(93\) | 9.94670 | − | 2.14424i | 1.03142 | − | 0.222347i | ||||
\(94\) | 5.20876 | + | 1.23450i | 0.537243 | + | 0.127329i | ||||
\(95\) | 1.36110 | + | 4.54639i | 0.139646 | + | 0.466450i | ||||
\(96\) | −8.94785 | − | 1.23123i | −0.913237 | − | 0.125662i | ||||
\(97\) | −9.96092 | − | 1.16426i | −1.01138 | − | 0.118213i | −0.405769 | − | 0.913975i | \(-0.632996\pi\) |
−0.605609 | + | 0.795762i | \(0.707070\pi\) | |||||||
\(98\) | −3.92639 | + | 22.2677i | −0.396625 | + | 2.24937i | ||||
\(99\) | −13.8634 | + | 6.26844i | −1.39332 | + | 0.630002i | ||||
\(100\) | −0.232474 | − | 1.31843i | −0.0232474 | − | 0.131843i | ||||
\(101\) | 0.114835 | + | 1.97164i | 0.0114265 | + | 0.196185i | 0.999190 | + | 0.0402291i | \(0.0128088\pi\) |
−0.987764 | + | 0.155956i | \(0.950154\pi\) | |||||||
\(102\) | 2.35619 | − | 11.9345i | 0.233298 | − | 1.18169i | ||||
\(103\) | 5.87630 | − | 13.6228i | 0.579009 | − | 1.34229i | −0.337139 | − | 0.941455i | \(-0.609459\pi\) |
0.916148 | − | 0.400839i | \(-0.131281\pi\) | |||||||
\(104\) | −2.35887 | + | 1.18467i | −0.231306 | + | 0.116166i | ||||
\(105\) | 13.4033 | − | 6.39265i | 1.30803 | − | 0.623859i | ||||
\(106\) | −5.05785 | + | 1.19873i | −0.491262 | + | 0.116431i | ||||
\(107\) | 7.99471 | + | 13.8472i | 0.772878 | + | 1.33866i | 0.935980 | + | 0.352054i | \(0.114517\pi\) |
−0.163102 | + | 0.986609i | \(0.552150\pi\) | |||||||
\(108\) | −3.80644 | + | 3.56979i | −0.366275 | + | 0.343503i | ||||
\(109\) | 2.66686 | − | 4.61913i | 0.255439 | − | 0.442433i | −0.709576 | − | 0.704629i | \(-0.751113\pi\) |
0.965015 | + | 0.262196i | \(0.0844468\pi\) | |||||||
\(110\) | −4.82780 | + | 16.1260i | −0.460313 | + | 1.53755i | ||||
\(111\) | 2.54049 | − | 5.57423i | 0.241133 | − | 0.529083i | ||||
\(112\) | 18.7031 | + | 12.3012i | 1.76728 | + | 1.16236i | ||||
\(113\) | 1.75132 | + | 2.35243i | 0.164750 | + | 0.221298i | 0.876830 | − | 0.480801i | \(-0.159654\pi\) |
−0.712080 | + | 0.702099i | \(0.752247\pi\) | |||||||
\(114\) | 1.14234 | + | 7.35198i | 0.106990 | + | 0.688576i | ||||
\(115\) | 2.71466 | − | 1.78546i | 0.253144 | − | 0.166495i | ||||
\(116\) | −2.75008 | − | 1.00095i | −0.255339 | − | 0.0929357i | ||||
\(117\) | −0.980302 | + | 4.48248i | −0.0906290 | + | 0.414406i | ||||
\(118\) | −3.37341 | + | 1.22782i | −0.310547 | + | 0.113030i | ||||
\(119\) | −10.8336 | + | 14.5520i | −0.993112 | + | 1.33398i | ||||
\(120\) | −0.216272 | − | 5.72013i | −0.0197428 | − | 0.522174i | ||||
\(121\) | −10.1019 | + | 10.7074i | −0.918358 | + | 0.973402i | ||||
\(122\) | −10.0270 | + | 10.6280i | −0.907801 | + | 0.962213i | ||||
\(123\) | 0.293229 | + | 7.75555i | 0.0264396 | + | 0.699294i | ||||
\(124\) | 3.52316 | − | 4.73243i | 0.316389 | − | 0.424985i | ||||
\(125\) | 11.3960 | − | 4.14779i | 1.01929 | − | 0.370990i | ||||
\(126\) | 22.1832 | − | 7.06414i | 1.97624 | − | 0.629324i | ||||
\(127\) | 9.99189 | + | 3.63675i | 0.886637 | + | 0.322710i | 0.744885 | − | 0.667193i | \(-0.232504\pi\) |
0.141752 | + | 0.989902i | \(0.454726\pi\) | |||||||
\(128\) | 10.1058 | − | 6.64671i | 0.893237 | − | 0.587491i | ||||
\(129\) | 1.18929 | + | 7.65415i | 0.104711 | + | 0.673910i | ||||
\(130\) | 3.03149 | + | 4.07200i | 0.265879 | + | 0.357138i | ||||
\(131\) | −9.46394 | − | 6.22453i | −0.826868 | − | 0.543840i | 0.0640801 | − | 0.997945i | \(-0.479589\pi\) |
−0.890948 | + | 0.454105i | \(0.849959\pi\) | |||||||
\(132\) | −3.65858 | + | 8.02751i | −0.318439 | + | 0.698705i | ||||
\(133\) | 3.18231 | − | 10.6297i | 0.275941 | − | 0.921708i | ||||
\(134\) | 9.46615 | − | 16.3958i | 0.817751 | − | 1.41639i | ||||
\(135\) | −7.96359 | − | 5.96567i | −0.685396 | − | 0.513443i | ||||
\(136\) | 3.49662 | + | 6.05633i | 0.299833 | + | 0.519326i | ||||
\(137\) | −16.9322 | + | 4.01301i | −1.44662 | + | 0.342854i | −0.877569 | − | 0.479450i | \(-0.840836\pi\) |
−0.569048 | + | 0.822305i | \(0.692688\pi\) | |||||||
\(138\) | 4.59778 | − | 2.19289i | 0.391389 | − | 0.186671i | ||||
\(139\) | −12.0702 | + | 6.06190i | −1.02378 | + | 0.514164i | −0.879764 | − | 0.475411i | \(-0.842299\pi\) |
−0.144020 | + | 0.989575i | \(0.546003\pi\) | |||||||
\(140\) | 3.41038 | − | 7.90614i | 0.288229 | − | 0.668191i | ||||
\(141\) | −1.03608 | + | 5.24793i | −0.0872537 | + | 0.441956i | ||||
\(142\) | −0.0418948 | − | 0.719306i | −0.00351573 | − | 0.0603628i | ||||
\(143\) | 1.34696 | + | 7.63897i | 0.112638 | + | 0.638803i | ||||
\(144\) | 1.48184 | − | 14.9266i | 0.123487 | − | 1.24388i | ||||
\(145\) | 0.968997 | − | 5.49545i | 0.0804708 | − | 0.456373i | ||||
\(146\) | −15.4376 | − | 1.80439i | −1.27762 | − | 0.149333i | ||||
\(147\) | −22.3841 | − | 3.08007i | −1.84621 | − | 0.254040i | ||||
\(148\) | −1.01871 | − | 3.40274i | −0.0837376 | − | 0.279703i | ||||
\(149\) | 5.19394 | + | 1.23099i | 0.425504 | + | 0.100846i | 0.437788 | − | 0.899078i | \(-0.355762\pi\) |
−0.0122840 | + | 0.999925i | \(0.503910\pi\) | |||||||
\(150\) | 3.91211 | − | 0.843346i | 0.319423 | − | 0.0688589i | ||||
\(151\) | 2.72725 | + | 6.32249i | 0.221941 | + | 0.514517i | 0.992412 | − | 0.122958i | \(-0.0392382\pi\) |
−0.770471 | + | 0.637475i | \(0.779979\pi\) | |||||||
\(152\) | −3.27649 | − | 2.74930i | −0.265759 | − | 0.222998i | ||||
\(153\) | 12.0064 | + | 1.90224i | 0.970663 | + | 0.153787i | ||||
\(154\) | 30.1489 | − | 25.2980i | 2.42947 | − | 2.03857i | ||||
\(155\) | 10.0530 | + | 5.04879i | 0.807474 | + | 0.405529i | ||||
\(156\) | 1.28301 | + | 2.33070i | 0.102723 | + | 0.186606i | ||||
\(157\) | −14.1308 | + | 1.65165i | −1.12776 | + | 0.131816i | −0.659450 | − | 0.751748i | \(-0.729211\pi\) |
−0.468310 | + | 0.883564i | \(0.655137\pi\) | |||||||
\(158\) | −1.58450 | + | 27.2047i | −0.126056 | + | 2.16429i | ||||
\(159\) | −1.38798 | − | 5.00537i | −0.110074 | − | 0.396952i | ||||
\(160\) | −6.85270 | − | 7.26343i | −0.541753 | − | 0.574225i | ||||
\(161\) | −7.59676 | −0.598709 | ||||||||
\(162\) | −11.0935 | − | 10.9673i | −0.871588 | − | 0.861674i | ||||
\(163\) | −4.92481 | −0.385741 | −0.192870 | − | 0.981224i | \(-0.561780\pi\) | ||||
−0.192870 | + | 0.981224i | \(0.561780\pi\) | |||||||
\(164\) | 3.08816 | + | 3.27326i | 0.241145 | + | 0.255599i | ||||
\(165\) | −16.2852 | − | 4.21207i | −1.26780 | − | 0.327909i | ||||
\(166\) | −0.787090 | + | 13.5138i | −0.0610900 | + | 1.04888i | ||||
\(167\) | 10.5483 | − | 1.23292i | 0.816250 | − | 0.0954059i | 0.302285 | − | 0.953217i | \(-0.402250\pi\) |
0.513964 | + | 0.857812i | \(0.328176\pi\) | |||||||
\(168\) | −6.92662 | + | 11.4516i | −0.534400 | + | 0.883510i | ||||
\(169\) | −9.52676 | − | 4.78452i | −0.732827 | − | 0.368040i | ||||
\(170\) | 10.3028 | − | 8.64506i | 0.790187 | − | 0.663046i | ||||
\(171\) | −7.29835 | + | 1.41828i | −0.558119 | + | 0.108459i | ||||
\(172\) | 3.44058 | + | 2.88699i | 0.262342 | + | 0.220131i | ||||
\(173\) | −3.51245 | − | 8.14278i | −0.267047 | − | 0.619084i | 0.730944 | − | 0.682437i | \(-0.239080\pi\) |
−0.997991 | + | 0.0633531i | \(0.979821\pi\) | |||||||
\(174\) | 2.67941 | − | 8.32803i | 0.203125 | − | 0.631346i | ||||
\(175\) | −5.80740 | − | 1.37638i | −0.438998 | − | 0.104044i | ||||
\(176\) | −7.27266 | − | 24.2924i | −0.548198 | − | 1.83111i | ||||
\(177\) | −1.35343 | − | 3.32223i | −0.101730 | − | 0.249714i | ||||
\(178\) | 6.48488 | + | 0.757974i | 0.486062 | + | 0.0568125i | ||||
\(179\) | 1.29735 | − | 7.35764i | 0.0969685 | − | 0.549936i | −0.897158 | − | 0.441710i | \(-0.854372\pi\) |
0.994126 | − | 0.108226i | \(-0.0345169\pi\) | |||||||
\(180\) | −5.75299 | + | 0.435651i | −0.428802 | + | 0.0324715i | ||||
\(181\) | 0.419990 | + | 2.38188i | 0.0312176 | + | 0.177044i | 0.996430 | − | 0.0844234i | \(-0.0269048\pi\) |
−0.965212 | + | 0.261467i | \(0.915794\pi\) | |||||||
\(182\) | −0.690129 | − | 11.8491i | −0.0511558 | − | 0.878310i | ||||
\(183\) | −10.9914 | − | 9.61141i | −0.812506 | − | 0.710496i | ||||
\(184\) | −1.15987 | + | 2.68887i | −0.0855065 | + | 0.198226i | ||||
\(185\) | 6.05228 | − | 3.03957i | 0.444972 | − | 0.223473i | ||||
\(186\) | 14.5345 | + | 9.98982i | 1.06572 | + | 0.732489i | ||||
\(187\) | 19.9963 | − | 4.73922i | 1.46228 | − | 0.346566i | ||||
\(188\) | 1.55082 | + | 2.68610i | 0.113105 | + | 0.195904i | ||||
\(189\) | 7.89157 | + | 21.8848i | 0.574028 | + | 1.59188i | ||||
\(190\) | −4.11289 | + | 7.12374i | −0.298380 | + | 0.516810i | ||||
\(191\) | 7.40018 | − | 24.7183i | 0.535458 | − | 1.78855i | −0.0757993 | − | 0.997123i | \(-0.524151\pi\) |
0.611257 | − | 0.791432i | \(-0.290664\pi\) | |||||||
\(192\) | 0.966885 | + | 1.35559i | 0.0697789 | + | 0.0978315i | ||||
\(193\) | 12.0493 | + | 7.92496i | 0.867329 | + | 0.570451i | 0.903352 | − | 0.428900i | \(-0.141099\pi\) |
−0.0360232 | + | 0.999351i | \(0.511469\pi\) | |||||||
\(194\) | −10.3802 | − | 13.9431i | −0.745257 | − | 1.00105i | ||||
\(195\) | −3.95173 | + | 3.18090i | −0.282989 | + | 0.227789i | ||||
\(196\) | −10.9459 | + | 7.19925i | −0.781852 | + | 0.514232i | ||||
\(197\) | 24.3980 | + | 8.88014i | 1.73828 | + | 0.632684i | 0.999164 | − | 0.0408888i | \(-0.0130189\pi\) |
0.739121 | + | 0.673573i | \(0.235241\pi\) | |||||||
\(198\) | −24.3928 | − | 10.0222i | −1.73352 | − | 0.712246i | ||||
\(199\) | 4.49550 | − | 1.63623i | 0.318678 | − | 0.115989i | −0.177729 | − | 0.984080i | \(-0.556875\pi\) |
0.496406 | + | 0.868090i | \(0.334653\pi\) | |||||||
\(200\) | −1.37384 | + | 1.84538i | −0.0971450 | + | 0.130488i | ||||
\(201\) | 16.7298 | + | 8.83360i | 1.18003 | + | 0.623074i | ||||
\(202\) | −2.34915 | + | 2.48995i | −0.165286 | + | 0.175192i | ||||
\(203\) | −8.95327 | + | 9.48991i | −0.628396 | + | 0.666061i | ||||
\(204\) | 5.96668 | − | 3.75237i | 0.417751 | − | 0.262718i | ||||
\(205\) | −5.12395 | + | 6.88266i | −0.357872 | + | 0.480706i | ||||
\(206\) | 24.1645 | − | 8.79517i | 1.68362 | − | 0.612789i | ||||
\(207\) | 2.36335 | + | 4.50842i | 0.164264 | + | 0.313357i | ||||
\(208\) | −7.18615 | − | 2.61555i | −0.498270 | − | 0.181356i | ||||
\(209\) | −10.5011 | + | 6.90667i | −0.726375 | + | 0.477744i | ||||
\(210\) | 24.0022 | + | 9.29446i | 1.65631 | + | 0.641378i | ||||
\(211\) | 10.0912 | + | 13.5548i | 0.694706 | + | 0.933152i | 0.999816 | − | 0.0191652i | \(-0.00610083\pi\) |
−0.305111 | + | 0.952317i | \(0.598693\pi\) | |||||||
\(212\) | −2.51630 | − | 1.65500i | −0.172820 | − | 0.113666i | ||||
\(213\) | 0.716697 | − | 0.0689923i | 0.0491073 | − | 0.00472727i | ||||
\(214\) | −7.94855 | + | 26.5500i | −0.543352 | + | 1.81492i | ||||
\(215\) | −4.28193 | + | 7.41652i | −0.292025 | + | 0.505803i | ||||
\(216\) | 8.95100 | + | 0.548129i | 0.609038 | + | 0.0372954i | ||||
\(217\) | −13.1510 | − | 22.7781i | −0.892746 | − | 1.54628i | ||||
\(218\) | 8.99568 | − | 2.13202i | 0.609264 | − | 0.144398i | ||||
\(219\) | 1.21897 | − | 15.4836i | 0.0823705 | − | 1.04629i | ||||
\(220\) | −8.71594 | + | 4.37731i | −0.587628 | + | 0.295118i | ||||
\(221\) | 2.45472 | − | 5.69067i | 0.165122 | − | 0.382796i | ||||
\(222\) | 10.0495 | − | 3.42738i | 0.674479 | − | 0.230031i | ||||
\(223\) | −0.987923 | − | 16.9620i | −0.0661562 | − | 1.13586i | −0.854099 | − | 0.520110i | \(-0.825891\pi\) |
0.787943 | − | 0.615748i | \(-0.211146\pi\) | |||||||
\(224\) | 4.05422 | + | 22.9926i | 0.270884 | + | 1.53626i | ||||
\(225\) | 0.989843 | + | 3.87468i | 0.0659895 | + | 0.258312i | ||||
\(226\) | −0.882708 | + | 5.00609i | −0.0587169 | + | 0.333000i | ||||
\(227\) | −7.91529 | − | 0.925165i | −0.525357 | − | 0.0614054i | −0.150719 | − | 0.988577i | \(-0.548159\pi\) |
−0.374638 | + | 0.927171i | \(0.622233\pi\) | |||||||
\(228\) | −2.64429 | + | 3.40473i | −0.175122 | + | 0.225484i | ||||
\(229\) | −5.43842 | − | 18.1656i | −0.359381 | − | 1.20042i | −0.926346 | − | 0.376674i | \(-0.877068\pi\) |
0.566965 | − | 0.823742i | \(-0.308118\pi\) | |||||||
\(230\) | 5.47999 | + | 1.29878i | 0.361340 | + | 0.0856392i | ||||
\(231\) | 26.4001 | + | 29.1507i | 1.73700 | + | 1.91798i | ||||
\(232\) | 1.99198 | + | 4.61792i | 0.130780 | + | 0.303181i | ||||
\(233\) | −17.5320 | − | 14.7111i | −1.14856 | − | 0.963754i | −0.148873 | − | 0.988856i | \(-0.547564\pi\) |
−0.999685 | + | 0.0251023i | \(0.992009\pi\) | |||||||
\(234\) | −6.81731 | + | 4.09580i | −0.445662 | + | 0.267751i | ||||
\(235\) | −4.53041 | + | 3.80147i | −0.295531 | + | 0.247980i | ||||
\(236\) | −1.85880 | − | 0.933522i | −0.120997 | − | 0.0607671i | ||||
\(237\) | −27.2257 | − | 0.555120i | −1.76850 | − | 0.0360589i | ||||
\(238\) | −31.2325 | + | 3.65055i | −2.02450 | + | 0.236630i | ||||
\(239\) | −0.187818 | + | 3.22472i | −0.0121490 | + | 0.208590i | 0.986771 | + | 0.162121i | \(0.0518336\pi\) |
−0.998920 | + | 0.0464681i | \(0.985203\pi\) | |||||||
\(240\) | 11.6240 | − | 11.8281i | 0.750325 | − | 0.763498i | ||||
\(241\) | −1.93366 | − | 2.04956i | −0.124558 | − | 0.132024i | 0.662093 | − | 0.749422i | \(-0.269668\pi\) |
−0.786651 | + | 0.617398i | \(0.788187\pi\) | |||||||
\(242\) | −25.5152 | −1.64018 | ||||||||
\(243\) | 10.5328 | − | 11.4917i | 0.675681 | − | 0.737194i | ||||
\(244\) | −8.46610 | −0.541986 | ||||||||
\(245\) | −17.1428 | − | 18.1703i | −1.09521 | − | 1.16086i | ||||
\(246\) | −9.42902 | + | 9.59457i | −0.601173 | + | 0.611728i | ||||
\(247\) | −0.220397 | + | 3.78408i | −0.0140235 | + | 0.240775i | ||||
\(248\) | −10.0702 | + | 1.17704i | −0.639458 | + | 0.0747419i | ||||
\(249\) | −13.5242 | − | 0.275753i | −0.857063 | − | 0.0174751i | ||||
\(250\) | 18.7843 | + | 9.43384i | 1.18802 | + | 0.596649i | ||||
\(251\) | 5.56593 | − | 4.67037i | 0.351319 | − | 0.294791i | −0.450001 | − | 0.893028i | \(-0.648576\pi\) |
0.801319 | + | 0.598237i | \(0.204132\pi\) | |||||||
\(252\) | 11.7976 | + | 6.54030i | 0.743181 | + | 0.412000i | ||||
\(253\) | 6.59201 | + | 5.53135i | 0.414436 | + | 0.347753i | ||||
\(254\) | 7.29988 | + | 16.9230i | 0.458035 | + | 1.06185i | ||||
\(255\) | 9.02169 | + | 9.96167i | 0.564960 | + | 0.623824i | ||||
\(256\) | 18.5294 | + | 4.39155i | 1.15809 | + | 0.274472i | ||||
\(257\) | 2.45737 | + | 8.20818i | 0.153286 | + | 0.512012i | 0.999793 | − | 0.0203668i | \(-0.00648339\pi\) |
−0.846506 | + | 0.532379i | \(0.821298\pi\) | |||||||
\(258\) | −8.23535 | + | 10.6037i | −0.512711 | + | 0.660156i | ||||
\(259\) | −15.7277 | − | 1.83831i | −0.977273 | − | 0.114227i | ||||
\(260\) | −0.510771 | + | 2.89673i | −0.0316767 | + | 0.179647i | ||||
\(261\) | 8.41729 | + | 2.36116i | 0.521017 | + | 0.146152i | ||||
\(262\) | −3.40936 | − | 19.3355i | −0.210631 | − | 1.19455i | ||||
\(263\) | 1.02366 | + | 17.5756i | 0.0631218 | + | 1.08376i | 0.870003 | + | 0.493046i | \(0.164117\pi\) |
−0.806881 | + | 0.590713i | \(0.798846\pi\) | |||||||
\(264\) | 14.3486 | − | 4.89360i | 0.883098 | − | 0.301180i | ||||
\(265\) | 2.27456 | − | 5.27303i | 0.139725 | − | 0.323919i | ||||
\(266\) | 17.1865 | − | 8.63141i | 1.05377 | − | 0.529226i | ||||
\(267\) | −0.512055 | + | 6.50423i | −0.0313373 | + | 0.398053i | ||||
\(268\) | 10.6740 | − | 2.52978i | 0.652016 | − | 0.154531i | ||||
\(269\) | 4.24413 | + | 7.35105i | 0.258769 | + | 0.448201i | 0.965912 | − | 0.258869i | \(-0.0833498\pi\) |
−0.707143 | + | 0.707070i | \(0.750016\pi\) | |||||||
\(270\) | −1.95112 | − | 17.1360i | −0.118741 | − | 1.04286i | ||||
\(271\) | 0.303512 | − | 0.525698i | 0.0184370 | − | 0.0319339i | −0.856660 | − | 0.515882i | \(-0.827464\pi\) |
0.875097 | + | 0.483948i | \(0.160798\pi\) | |||||||
\(272\) | −5.81070 | + | 19.4091i | −0.352326 | + | 1.17685i | ||||
\(273\) | 11.8061 | − | 1.13650i | 0.714536 | − | 0.0687843i | ||||
\(274\) | −25.1995 | − | 16.5740i | −1.52236 | − | 1.00127i | ||||
\(275\) | 4.03714 | + | 5.42282i | 0.243449 | + | 0.327009i | ||||
\(276\) | 2.75236 | + | 1.06581i | 0.165672 | + | 0.0641539i | ||||
\(277\) | 6.52744 | − | 4.29316i | 0.392196 | − | 0.257951i | −0.338061 | − | 0.941124i | \(-0.609771\pi\) |
0.730256 | + | 0.683173i | \(0.239401\pi\) | |||||||
\(278\) | −21.9995 | − | 8.00718i | −1.31945 | − | 0.480239i | ||||
\(279\) | −9.42680 | + | 14.8909i | −0.564368 | + | 0.891496i | ||||
\(280\) | −13.9042 | + | 5.06072i | −0.830936 | + | 0.302436i | ||||
\(281\) | 11.6753 | − | 15.6826i | 0.696490 | − | 0.935548i | −0.303360 | − | 0.952876i | \(-0.598108\pi\) |
0.999850 | + | 0.0173277i | \(0.00551586\pi\) | |||||||
\(282\) | −7.84870 | + | 4.93595i | −0.467383 | + | 0.293931i | ||||
\(283\) | 18.5282 | − | 19.6388i | 1.10139 | − | 1.16740i | 0.116685 | − | 0.993169i | \(-0.462773\pi\) |
0.984704 | − | 0.174235i | \(-0.0557452\pi\) | |||||||
\(284\) | 0.286494 | − | 0.303666i | 0.0170003 | − | 0.0180193i | ||||
\(285\) | −7.26884 | − | 3.83806i | −0.430569 | − | 0.227347i | ||||
\(286\) | −8.02868 | + | 10.7844i | −0.474746 | + | 0.637695i | ||||
\(287\) | 18.8518 | − | 6.86151i | 1.11279 | − | 0.405022i | ||||
\(288\) | 12.3841 | − | 9.55902i | 0.729738 | − | 0.563271i | ||||
\(289\) | 0.545753 | + | 0.198638i | 0.0321031 | + | 0.0116846i | ||||
\(290\) | 8.08097 | − | 5.31494i | 0.474531 | − | 0.312104i | ||||
\(291\) | 13.5312 | − | 10.8918i | 0.793216 | − | 0.638490i | ||||
\(292\) | −5.37780 | − | 7.22364i | −0.314712 | − | 0.422732i | ||||
\(293\) | 6.25152 | + | 4.11169i | 0.365218 | + | 0.240207i | 0.718832 | − | 0.695184i | \(-0.244677\pi\) |
−0.353614 | + | 0.935391i | \(0.615047\pi\) | |||||||
\(294\) | −22.7417 | − | 31.8843i | −1.32632 | − | 1.85953i | ||||
\(295\) | 1.13749 | − | 3.79949i | 0.0662274 | − | 0.221215i | ||||
\(296\) | −3.05196 | + | 5.28615i | −0.177392 | + | 0.307251i | ||||
\(297\) | 9.08693 | − | 24.7363i | 0.527277 | − | 1.43535i | ||||
\(298\) | 4.62599 | + | 8.01246i | 0.267977 | + | 0.464149i | ||||
\(299\) | 2.52521 | − | 0.598487i | 0.146037 | − | 0.0346114i | ||||
\(300\) | 1.91096 | + | 1.31343i | 0.110329 | + | 0.0758312i | ||||
\(301\) | 17.8929 | − | 8.98616i | 1.03133 | − | 0.517954i | ||||
\(302\) | −4.72712 | + | 10.9587i | −0.272015 | + | 0.630602i | ||||
\(303\) | −2.57509 | − | 2.25179i | −0.147935 | − | 0.129362i | ||||
\(304\) | −0.720497 | − | 12.3705i | −0.0413234 | − | 0.709495i | ||||
\(305\) | −2.80315 | − | 15.8974i | −0.160508 | − | 0.910284i | ||||
\(306\) | 11.8829 | + | 17.3997i | 0.679299 | + | 0.994677i | ||||
\(307\) | −5.64985 | + | 32.0419i | −0.322454 | + | 1.82873i | 0.204539 | + | 0.978858i | \(0.434430\pi\) |
−0.526993 | + | 0.849869i | \(0.676681\pi\) | |||||||
\(308\) | 22.6496 | + | 2.64736i | 1.29058 | + | 0.150847i | ||||
\(309\) | 9.69494 | + | 23.7980i | 0.551526 | + | 1.35382i | ||||
\(310\) | 5.59230 | + | 18.6796i | 0.317621 | + | 1.06093i | ||||
\(311\) | −17.5950 | − | 4.17010i | −0.997722 | − | 0.236465i | −0.300859 | − | 0.953669i | \(-0.597273\pi\) |
−0.696863 | + | 0.717204i | \(0.745422\pi\) | |||||||
\(312\) | 1.40028 | − | 4.35228i | 0.0792750 | − | 0.246399i | ||||
\(313\) | −2.32308 | − | 5.38551i | −0.131308 | − | 0.304407i | 0.839859 | − | 0.542804i | \(-0.182637\pi\) |
−0.971168 | + | 0.238397i | \(0.923378\pi\) | |||||||
\(314\) | −18.8903 | − | 15.8508i | −1.06604 | − | 0.894514i | ||||
\(315\) | −8.37498 | + | 24.3188i | −0.471877 | + | 1.37021i | ||||
\(316\) | −12.0955 | + | 10.1493i | −0.680425 | + | 0.570944i | ||||
\(317\) | 10.0861 | + | 5.06545i | 0.566494 | + | 0.284504i | 0.708905 | − | 0.705304i | \(-0.249189\pi\) |
−0.142411 | + | 0.989808i | \(0.545486\pi\) | |||||||
\(318\) | 4.65958 | − | 7.70356i | 0.261296 | − | 0.431994i | ||||
\(319\) | 14.6789 | − | 1.71572i | 0.821861 | − | 0.0960617i | ||||
\(320\) | −0.107038 | + | 1.83778i | −0.00598362 | + | 0.102735i | ||||
\(321\) | −26.8122 | − | 6.93480i | −1.49651 | − | 0.387063i | ||||
\(322\) | −9.03601 | − | 9.57761i | −0.503557 | − | 0.533739i | ||||
\(323\) | 10.0422 | 0.558763 | ||||||||
\(324\) | 0.211208 | − | 9.03618i | 0.0117338 | − | 0.502010i | ||||
\(325\) | 2.03885 | 0.113095 | ||||||||
\(326\) | −5.85784 | − | 6.20895i | −0.324436 | − | 0.343882i | ||||
\(327\) | 2.46860 | + | 8.90234i | 0.136514 | + | 0.492300i | ||||
\(328\) | 0.449651 | − | 7.72021i | 0.0248278 | − | 0.426277i | ||||
\(329\) | 13.7338 | − | 1.60525i | 0.757167 | − | 0.0885001i | ||||
\(330\) | −14.0602 | − | 25.5417i | −0.773988 | − | 1.40602i | ||||
\(331\) | −17.8787 | − | 8.97901i | −0.982701 | − | 0.493531i | −0.116480 | − | 0.993193i | \(-0.537161\pi\) |
−0.866220 | + | 0.499662i | \(0.833458\pi\) | |||||||
\(332\) | −6.00837 | + | 5.04162i | −0.329752 | + | 0.276695i | ||||
\(333\) | 3.80191 | + | 9.90576i | 0.208343 | + | 0.542832i | ||||
\(334\) | 14.1011 | + | 11.8322i | 0.771578 | + | 0.647431i | ||||
\(335\) | 8.28453 | + | 19.2057i | 0.452632 | + | 1.04932i | ||||
\(336\) | −37.9028 | + | 8.17081i | −2.06777 | + | 0.445754i | ||||
\(337\) | 10.2482 | + | 2.42886i | 0.558253 | + | 0.132308i | 0.500050 | − | 0.865996i | \(-0.333315\pi\) |
0.0582030 | + | 0.998305i | \(0.481463\pi\) | |||||||
\(338\) | −5.29958 | − | 17.7018i | −0.288259 | − | 0.962852i | ||||
\(339\) | −5.03226 | − | 0.692443i | −0.273315 | − | 0.0376083i | ||||
\(340\) | 7.74005 | + | 0.904682i | 0.419763 | + | 0.0490633i | ||||
\(341\) | −5.17361 | + | 29.3410i | −0.280167 | + | 1.58890i | ||||
\(342\) | −10.4692 | − | 7.51441i | −0.566108 | − | 0.406333i | ||||
\(343\) | 4.69990 | + | 26.6545i | 0.253771 | + | 1.43921i | ||||
\(344\) | −0.448776 | − | 7.70519i | −0.0241964 | − | 0.415436i | ||||
\(345\) | −1.09003 | + | 5.52120i | −0.0586853 | + | 0.297251i | ||||
\(346\) | 6.08810 | − | 14.1138i | 0.327298 | − | 0.758762i | ||||
\(347\) | −23.3706 | + | 11.7371i | −1.25460 | + | 0.630083i | −0.946939 | − | 0.321414i | \(-0.895842\pi\) |
−0.307659 | + | 0.951497i | \(0.599546\pi\) | |||||||
\(348\) | 4.57524 | − | 2.18214i | 0.245259 | − | 0.116975i | ||||
\(349\) | −0.746924 | + | 0.177024i | −0.0399819 | + | 0.00947590i | −0.250558 | − | 0.968102i | \(-0.580614\pi\) |
0.210576 | + | 0.977577i | \(0.432466\pi\) | |||||||
\(350\) | −5.17237 | − | 8.95882i | −0.276475 | − | 0.478869i | ||||
\(351\) | −4.34734 | − | 6.65294i | −0.232044 | − | 0.355108i | ||||
\(352\) | 13.2234 | − | 22.9036i | 0.704808 | − | 1.22076i | ||||
\(353\) | 5.25492 | − | 17.5527i | 0.279691 | − | 0.934233i | −0.696543 | − | 0.717515i | \(-0.745279\pi\) |
0.976234 | − | 0.216718i | \(-0.0695353\pi\) | |||||||
\(354\) | 2.57866 | − | 5.65798i | 0.137054 | − | 0.300718i | ||||
\(355\) | 0.665076 | + | 0.437427i | 0.0352986 | + | 0.0232162i | ||||
\(356\) | 2.25906 | + | 3.03444i | 0.119730 | + | 0.160825i | ||||
\(357\) | −4.82452 | − | 31.0500i | −0.255341 | − | 1.64334i | ||||
\(358\) | 10.8193 | − | 7.11595i | 0.571817 | − | 0.376090i | ||||
\(359\) | −26.4063 | − | 9.61110i | −1.39367 | − | 0.507254i | −0.467377 | − | 0.884058i | \(-0.654801\pi\) |
−0.926293 | + | 0.376804i | \(0.877023\pi\) | |||||||
\(360\) | 7.32896 | + | 6.67730i | 0.386270 | + | 0.351924i | ||||
\(361\) | 12.0826 | − | 4.39771i | 0.635927 | − | 0.231459i | ||||
\(362\) | −2.50339 | + | 3.36264i | −0.131575 | + | 0.176737i | ||||
\(363\) | −0.963323 | − | 25.4787i | −0.0505614 | − | 1.33729i | ||||
\(364\) | 4.71939 | − | 5.00226i | 0.247363 | − | 0.262190i | ||||
\(365\) | 11.7838 | − | 12.4901i | 0.616791 | − | 0.653760i | ||||
\(366\) | −0.956177 | − | 25.2897i | −0.0499802 | − | 1.32192i | ||||
\(367\) | 5.97496 | − | 8.02577i | 0.311890 | − | 0.418942i | −0.618344 | − | 0.785908i | \(-0.712196\pi\) |
0.930234 | + | 0.366966i | \(0.119604\pi\) | |||||||
\(368\) | −7.97218 | + | 2.90164i | −0.415579 | + | 0.151258i | ||||
\(369\) | −9.93686 | − | 9.05331i | −0.517292 | − | 0.471297i | ||||
\(370\) | 11.0310 | + | 4.01497i | 0.573477 | + | 0.208728i | ||||
\(371\) | −11.2178 | + | 7.37806i | −0.582399 | + | 0.383050i | ||||
\(372\) | 1.56897 | + | 10.0977i | 0.0813474 | + | 0.523542i | ||||
\(373\) | −1.15275 | − | 1.54841i | −0.0596870 | − | 0.0801735i | 0.771277 | − | 0.636499i | \(-0.219618\pi\) |
−0.830964 | + | 0.556326i | \(0.812211\pi\) | |||||||
\(374\) | 29.7597 | + | 19.5733i | 1.53884 | + | 1.01211i | ||||
\(375\) | −8.71117 | + | 19.1137i | −0.449843 | + | 0.987025i | ||||
\(376\) | 1.52868 | − | 5.10615i | 0.0788357 | − | 0.263330i | ||||
\(377\) | 2.22849 | − | 3.85986i | 0.114773 | − | 0.198793i | ||||
\(378\) | −18.2046 | + | 35.9803i | −0.936342 | + | 1.85063i | ||||
\(379\) | −3.93695 | − | 6.81900i | −0.202228 | − | 0.350269i | 0.747018 | − | 0.664804i | \(-0.231485\pi\) |
−0.949246 | + | 0.314535i | \(0.898151\pi\) | |||||||
\(380\) | −4.63767 | + | 1.09915i | −0.237907 | + | 0.0563851i | ||||
\(381\) | −16.6233 | + | 7.92838i | −0.851635 | + | 0.406183i | ||||
\(382\) | 39.9658 | − | 20.0716i | 2.04483 | − | 1.02695i | ||||
\(383\) | 1.29821 | − | 3.00959i | 0.0663355 | − | 0.153783i | −0.881823 | − | 0.471580i | \(-0.843684\pi\) |
0.948159 | + | 0.317797i | \(0.102943\pi\) | |||||||
\(384\) | −4.05784 | + | 20.5537i | −0.207076 | + | 1.04888i | ||||
\(385\) | 2.52820 | + | 43.4075i | 0.128849 | + | 2.21225i | ||||
\(386\) | 4.34074 | + | 24.6176i | 0.220938 | + | 1.25300i | ||||
\(387\) | −10.8995 | − | 7.82325i | −0.554050 | − | 0.397678i | ||||
\(388\) | 1.74895 | − | 9.91878i | 0.0887894 | − | 0.503550i | ||||
\(389\) | 7.13576 | + | 0.834051i | 0.361797 | + | 0.0422881i | 0.295050 | − | 0.955482i | \(-0.404664\pi\) |
0.0667475 | + | 0.997770i | \(0.478738\pi\) | |||||||
\(390\) | −8.71072 | − | 1.19860i | −0.441085 | − | 0.0606936i | ||||
\(391\) | −1.97189 | − | 6.58658i | −0.0997229 | − | 0.333098i | ||||
\(392\) | 21.9072 | + | 5.19210i | 1.10648 | + | 0.262241i | ||||
\(393\) | 19.1791 | − | 4.13450i | 0.967458 | − | 0.208558i | ||||
\(394\) | 17.8247 | + | 41.3223i | 0.897995 | + | 2.08179i | ||||
\(395\) | −23.0630 | − | 19.3522i | −1.16043 | − | 0.973713i | ||||
\(396\) | −5.47516 | − | 14.2654i | −0.275137 | − | 0.716862i | ||||
\(397\) | −25.7878 | + | 21.6386i | −1.29425 | + | 1.08601i | −0.303147 | + | 0.952944i | \(0.598037\pi\) |
−0.991107 | + | 0.133064i | \(0.957518\pi\) | |||||||
\(398\) | 7.41008 | + | 3.72148i | 0.371434 | + | 0.186541i | ||||
\(399\) | 9.26796 | + | 16.8361i | 0.463978 | + | 0.842860i | ||||
\(400\) | −6.62011 | + | 0.773780i | −0.331005 | + | 0.0386890i | ||||
\(401\) | −0.455704 | + | 7.82413i | −0.0227567 | + | 0.390718i | 0.967628 | + | 0.252380i | \(0.0812132\pi\) |
−0.990385 | + | 0.138339i | \(0.955824\pi\) | |||||||
\(402\) | 8.76242 | + | 31.5993i | 0.437030 | + | 1.57603i | ||||
\(403\) | 6.16597 | + | 6.53555i | 0.307149 | + | 0.325559i | ||||
\(404\) | −1.98346 | −0.0986808 | ||||||||
\(405\) | 17.0378 | − | 2.59530i | 0.846617 | − | 0.128962i | ||||
\(406\) | −22.6139 | −1.12231 | ||||||||
\(407\) | 12.3091 | + | 13.0468i | 0.610137 | + | 0.646708i | ||||
\(408\) | −11.7268 | − | 3.03305i | −0.580561 | − | 0.150159i | ||||
\(409\) | 0.537873 | − | 9.23492i | 0.0265961 | − | 0.456637i | −0.958551 | − | 0.284922i | \(-0.908032\pi\) |
0.985147 | − | 0.171715i | \(-0.0549308\pi\) | |||||||
\(410\) | −14.7720 | + | 1.72660i | −0.729538 | + | 0.0852708i | ||||
\(411\) | 15.5989 | − | 25.7893i | 0.769437 | − | 1.27209i | ||||
\(412\) | 13.3150 | + | 6.68705i | 0.655983 | + | 0.329447i | ||||
\(413\) | −7.10348 | + | 5.96053i | −0.349540 | + | 0.293298i | ||||
\(414\) | −2.87289 | + | 8.34215i | −0.141195 | + | 0.409994i | ||||
\(415\) | −11.4564 | − | 9.61308i | −0.562374 | − | 0.471888i | ||||
\(416\) | −3.15905 | − | 7.32350i | −0.154885 | − | 0.359064i | ||||
\(417\) | 7.16515 | − | 22.2704i | 0.350879 | − | 1.09059i | ||||
\(418\) | −21.1982 | − | 5.02406i | −1.03684 | − | 0.245735i | ||||
\(419\) | 5.96471 | + | 19.9235i | 0.291395 | + | 0.973327i | 0.970866 | + | 0.239624i | \(0.0770243\pi\) |
−0.679471 | + | 0.733703i | \(0.737791\pi\) | |||||||
\(420\) | 5.62656 | + | 13.8114i | 0.274548 | + | 0.673927i | ||||
\(421\) | −1.78802 | − | 0.208989i | −0.0871426 | − | 0.0101855i | 0.0724098 | − | 0.997375i | \(-0.476931\pi\) |
−0.159552 | + | 0.987189i | \(0.551005\pi\) | |||||||
\(422\) | −5.08621 | + | 28.8453i | −0.247593 | + | 1.40417i | ||||
\(423\) | −5.22522 | − | 7.65113i | −0.254059 | − | 0.372011i | ||||
\(424\) | 0.898741 | + | 5.09701i | 0.0436467 | + | 0.247533i | ||||
\(425\) | −0.314073 | − | 5.39243i | −0.0152348 | − | 0.261571i | ||||
\(426\) | 0.939461 | + | 0.821512i | 0.0455170 | + | 0.0398024i | ||||
\(427\) | −14.9490 | + | 34.6556i | −0.723430 | + | 1.67710i | ||||
\(428\) | −14.3500 | + | 7.20685i | −0.693634 | + | 0.348356i | ||||
\(429\) | −11.0721 | − | 7.61005i | −0.534567 | − | 0.367417i | ||||
\(430\) | −14.4435 | + | 3.42318i | −0.696529 | + | 0.165081i | ||||
\(431\) | 2.12237 | + | 3.67605i | 0.102231 | + | 0.177069i | 0.912603 | − | 0.408846i | \(-0.134069\pi\) |
−0.810373 | + | 0.585915i | \(0.800735\pi\) | |||||||
\(432\) | 16.6406 | + | 19.9521i | 0.800622 | + | 0.959944i | ||||
\(433\) | −12.1071 | + | 20.9701i | −0.581830 | + | 1.00776i | 0.413433 | + | 0.910535i | \(0.364330\pi\) |
−0.995263 | + | 0.0972239i | \(0.969004\pi\) | |||||||
\(434\) | 13.0750 | − | 43.6737i | 0.627622 | − | 2.09640i | ||||
\(435\) | 5.61244 | + | 7.86876i | 0.269096 | + | 0.377278i | ||||
\(436\) | 4.47539 | + | 2.94351i | 0.214332 | + | 0.140969i | ||||
\(437\) | 2.51111 | + | 3.37300i | 0.120123 | + | 0.161353i | ||||
\(438\) | 20.9709 | − | 16.8803i | 1.00203 | − | 0.806571i | ||||
\(439\) | 33.3705 | − | 21.9481i | 1.59269 | − | 1.04753i | 0.630115 | − | 0.776502i | \(-0.283008\pi\) |
0.962572 | − | 0.271025i | \(-0.0873627\pi\) | |||||||
\(440\) | 15.7501 | + | 5.73255i | 0.750855 | + | 0.273289i | ||||
\(441\) | 30.9802 | − | 23.9130i | 1.47525 | − | 1.13871i | ||||
\(442\) | 10.0943 | − | 3.67402i | 0.480136 | − | 0.174755i | ||||
\(443\) | 8.96731 | − | 12.0452i | 0.426050 | − | 0.572284i | −0.536324 | − | 0.844012i | \(-0.680188\pi\) |
0.962374 | + | 0.271728i | \(0.0875950\pi\) | |||||||
\(444\) | 5.44035 | + | 2.87259i | 0.258188 | + | 0.136327i | ||||
\(445\) | −4.95002 | + | 5.24672i | −0.234654 | + | 0.248718i | ||||
\(446\) | 20.2097 | − | 21.4210i | 0.956958 | − | 1.01432i | ||||
\(447\) | −7.82636 | + | 4.92190i | −0.370174 | + | 0.232798i | ||||
\(448\) | 2.57022 | − | 3.45240i | 0.121431 | − | 0.163111i | ||||
\(449\) | −17.0358 | + | 6.20054i | −0.803971 | + | 0.292622i | −0.711131 | − | 0.703060i | \(-0.751817\pi\) |
−0.0928400 | + | 0.995681i | \(0.529595\pi\) | |||||||
\(450\) | −3.70763 | + | 5.85671i | −0.174779 | + | 0.276088i | ||||
\(451\) | −21.3545 | − | 7.77240i | −1.00554 | − | 0.365988i | ||||
\(452\) | −2.46080 | + | 1.61850i | −0.115746 | + | 0.0761276i | ||||
\(453\) | −11.1215 | − | 4.30662i | −0.522535 | − | 0.202343i | ||||
\(454\) | −8.24849 | − | 11.0796i | −0.387121 | − | 0.519994i | ||||
\(455\) | 10.9557 | + | 7.20569i | 0.513612 | + | 0.337808i | ||||
\(456\) | 7.37417 | − | 0.709869i | 0.345327 | − | 0.0332426i | ||||
\(457\) | 1.22333 | − | 4.08621i | 0.0572250 | − | 0.191145i | −0.924598 | − | 0.380945i | \(-0.875599\pi\) |
0.981823 | + | 0.189800i | \(0.0607840\pi\) | |||||||
\(458\) | 16.4335 | − | 28.4637i | 0.767887 | − | 1.33002i | ||||
\(459\) | −16.9262 | + | 12.5228i | −0.790049 | + | 0.584516i | ||||
\(460\) | 1.63157 | + | 2.82597i | 0.0760725 | + | 0.131761i | ||||
\(461\) | −4.16745 | + | 0.987704i | −0.194098 | + | 0.0460020i | −0.326515 | − | 0.945192i | \(-0.605874\pi\) |
0.132417 | + | 0.991194i | \(0.457726\pi\) | |||||||
\(462\) | −5.35004 | + | 67.9574i | −0.248907 | + | 3.16166i | ||||
\(463\) | −16.1197 | + | 8.09560i | −0.749145 | + | 0.376235i | −0.782043 | − | 0.623224i | \(-0.785822\pi\) |
0.0328986 | + | 0.999459i | \(0.489526\pi\) | |||||||
\(464\) | −5.77099 | + | 13.3786i | −0.267911 | + | 0.621088i | ||||
\(465\) | −18.4418 | + | 6.28956i | −0.855216 | + | 0.291671i | ||||
\(466\) | −2.30653 | − | 39.6016i | −0.106848 | − | 1.83451i | ||||
\(467\) | 4.41092 | + | 25.0156i | 0.204113 | + | 1.15758i | 0.898829 | + | 0.438299i | \(0.144419\pi\) |
−0.694716 | + | 0.719284i | \(0.744470\pi\) | |||||||
\(468\) | −4.43687 | − | 1.24460i | −0.205094 | − | 0.0575316i | ||||
\(469\) | 8.49196 | − | 48.1603i | 0.392122 | − | 2.22384i | ||||
\(470\) | −10.1814 | − | 1.19004i | −0.469634 | − | 0.0548923i | ||||
\(471\) | 15.1150 | − | 19.4617i | 0.696461 | − | 0.896749i | ||||
\(472\) | 1.02518 | + | 3.42432i | 0.0471875 | + | 0.157617i | ||||
\(473\) | −22.0694 | − | 5.23054i | −1.01475 | − | 0.240501i | ||||
\(474\) | −31.6839 | − | 34.9851i | −1.45529 | − | 1.60692i | ||||
\(475\) | 1.30852 | + | 3.03348i | 0.0600388 | + | 0.139186i | ||||
\(476\) | −13.9571 | − | 11.7114i | −0.639725 | − | 0.536793i | ||||
\(477\) | 7.86848 | + | 4.36207i | 0.360273 | + | 0.199726i | ||||
\(478\) | −4.28896 | + | 3.59887i | −0.196172 | + | 0.164608i | ||||
\(479\) | −11.3735 | − | 5.71198i | −0.519668 | − | 0.260987i | 0.169575 | − | 0.985517i | \(-0.445761\pi\) |
−0.689243 | + | 0.724530i | \(0.742057\pi\) | |||||||
\(480\) | 17.2924 | + | 0.352584i | 0.789285 | + | 0.0160932i | ||||
\(481\) | 5.37282 | − | 0.627993i | 0.244980 | − | 0.0286340i | ||||
\(482\) | 0.283978 | − | 4.87572i | 0.0129348 | − | 0.222083i | ||||
\(483\) | 9.22278 | − | 9.38470i | 0.419651 | − | 0.427019i | ||||
\(484\) | −10.1453 | − | 10.7534i | −0.461151 | − | 0.488791i | ||||
\(485\) | 19.2043 | 0.872024 | ||||||||
\(486\) | 27.0165 | − | 0.389648i | 1.22549 | − | 0.0176748i | ||||
\(487\) | 22.0924 | 1.00110 | 0.500551 | − | 0.865707i | \(-0.333131\pi\) | ||||
0.500551 | + | 0.865707i | \(0.333131\pi\) | |||||||
\(488\) | 9.98394 | + | 10.5824i | 0.451952 | + | 0.479041i | ||||
\(489\) | 5.97892 | − | 6.08389i | 0.270376 | − | 0.275123i | ||||
\(490\) | 2.51760 | − | 43.2256i | 0.113734 | − | 1.95273i | ||||
\(491\) | −40.3350 | + | 4.71449i | −1.82029 | + | 0.212762i | −0.956630 | − | 0.291305i | \(-0.905911\pi\) |
−0.863665 | + | 0.504067i | \(0.831836\pi\) | |||||||
\(492\) | −7.79280 | − | 0.158892i | −0.351326 | − | 0.00716339i | ||||
\(493\) | −10.5520 | − | 5.29941i | −0.475238 | − | 0.238673i | ||||
\(494\) | −5.03292 | + | 4.22313i | −0.226442 | + | 0.190007i | ||||
\(495\) | 24.9743 | − | 15.0044i | 1.12251 | − | 0.674399i | ||||
\(496\) | −22.5011 | − | 18.8807i | −1.01033 | − | 0.847768i | ||||
\(497\) | −0.737167 | − | 1.70895i | −0.0330665 | − | 0.0766567i | ||||
\(498\) | −15.7388 | − | 17.3787i | −0.705273 | − | 0.778756i | ||||
\(499\) | −5.64383 | − | 1.33761i | −0.252653 | − | 0.0598798i | 0.102338 | − | 0.994750i | \(-0.467368\pi\) |
−0.354990 | + | 0.934870i | \(0.615516\pi\) | |||||||
\(500\) | 3.49309 | + | 11.6677i | 0.156216 | + | 0.521797i | ||||
\(501\) | −11.2829 | + | 14.5277i | −0.504085 | + | 0.649049i | ||||
\(502\) | 12.5086 | + | 1.46205i | 0.558286 | + | 0.0652543i | ||||
\(503\) | 6.79408 | − | 38.5312i | 0.302933 | − | 1.71802i | −0.330144 | − | 0.943931i | \(-0.607097\pi\) |
0.633077 | − | 0.774089i | \(-0.281792\pi\) | |||||||
\(504\) | −5.73761 | − | 22.4595i | −0.255573 | − | 1.00043i | ||||
\(505\) | −0.656728 | − | 3.72449i | −0.0292240 | − | 0.165738i | ||||
\(506\) | 0.867254 | + | 14.8902i | 0.0385541 | + | 0.661949i | ||||
\(507\) | 17.4765 | − | 5.96034i | 0.776156 | − | 0.264708i | ||||
\(508\) | −4.22966 | + | 9.80546i | −0.187661 | + | 0.435047i | ||||
\(509\) | 1.05520 | − | 0.529939i | 0.0467707 | − | 0.0234892i | −0.425260 | − | 0.905071i | \(-0.639817\pi\) |
0.472031 | + | 0.881582i | \(0.343521\pi\) | |||||||
\(510\) | −1.82827 | + | 23.2231i | −0.0809571 | + | 1.02833i | ||||
\(511\) | −39.0654 | + | 9.25868i | −1.72815 | + | 0.409580i | ||||
\(512\) | 4.40756 | + | 7.63411i | 0.194788 | + | 0.337383i | ||||
\(513\) | 7.10841 | − | 10.7379i | 0.313844 | − | 0.474091i | ||||
\(514\) | −7.42553 | + | 12.8614i | −0.327526 | + | 0.567291i | ||||
\(515\) | −8.14814 | + | 27.2167i | −0.359050 | + | 1.19931i | ||||
\(516\) | −7.74346 | + | 0.745418i | −0.340887 | + | 0.0328152i | ||||
\(517\) | −13.0861 | − | 8.60689i | −0.575528 | − | 0.378531i | ||||
\(518\) | −16.3898 | − | 22.0153i | −0.720125 | − | 0.967296i | ||||
\(519\) | 14.3235 | + | 5.54653i | 0.628731 | + | 0.243466i | ||||
\(520\) | 4.22316 | − | 2.77762i | 0.185198 | − | 0.121807i | ||||
\(521\) | −16.9770 | − | 6.17914i | −0.743778 | − | 0.270713i | −0.0577926 | − | 0.998329i | \(-0.518406\pi\) |
−0.685985 | + | 0.727616i | \(0.740628\pi\) | |||||||
\(522\) | 7.03517 | + | 13.4206i | 0.307921 | + | 0.587403i | ||||
\(523\) | 20.4407 | − | 7.43980i | 0.893808 | − | 0.325320i | 0.146039 | − | 0.989279i | \(-0.453347\pi\) |
0.747769 | + | 0.663959i | \(0.231125\pi\) | |||||||
\(524\) | 6.79332 | − | 9.12502i | 0.296768 | − | 0.398628i | ||||
\(525\) | 8.75074 | − | 5.50323i | 0.381913 | − | 0.240180i | ||||
\(526\) | −20.9409 | + | 22.1960i | −0.913065 | + | 0.967792i | ||||
\(527\) | 16.3356 | − | 17.3147i | 0.711590 | − | 0.754242i | ||||
\(528\) | 38.8391 | + | 20.5076i | 1.69025 | + | 0.892480i | ||||
\(529\) | −12.0154 | + | 16.1395i | −0.522409 | + | 0.701717i | ||||
\(530\) | 9.35346 | − | 3.40438i | 0.406288 | − | 0.147877i | ||||
\(531\) | 5.74726 | + | 2.36136i | 0.249410 | + | 0.102474i | ||||
\(532\) | 10.4714 | + | 3.81128i | 0.453993 | + | 0.165240i | ||||
\(533\) | −5.72591 | + | 3.76599i | −0.248017 | + | 0.163123i | ||||
\(534\) | −8.80927 | + | 7.09092i | −0.381215 | + | 0.306854i | ||||
\(535\) | −18.2842 | − | 24.5599i | −0.790494 | − | 1.06182i | ||||
\(536\) | −15.7498 | − | 10.3588i | −0.680287 | − | 0.447432i | ||||
\(537\) | 7.51427 | + | 10.5352i | 0.324265 | + | 0.454626i | ||||
\(538\) | −4.21962 | + | 14.0945i | −0.181921 | + | 0.607658i | ||||
\(539\) | 33.0798 | − | 57.2959i | 1.42485 | − | 2.46791i | ||||
\(540\) | 6.44618 | − | 7.63589i | 0.277399 | − | 0.328596i | ||||
\(541\) | −4.78621 | − | 8.28997i | −0.205775 | − | 0.356413i | 0.744604 | − | 0.667506i | \(-0.232638\pi\) |
−0.950380 | + | 0.311093i | \(0.899305\pi\) | |||||||
\(542\) | 1.02379 | − | 0.242642i | 0.0439754 | − | 0.0104224i | ||||
\(543\) | −3.45235 | − | 2.37286i | −0.148155 | − | 0.101829i | ||||
\(544\) | −18.8828 | + | 9.48330i | −0.809594 | + | 0.406593i | ||||
\(545\) | −4.04544 | + | 9.37838i | −0.173288 | + | 0.401726i | ||||
\(546\) | 15.4756 | + | 13.5327i | 0.662297 | + | 0.579145i | ||||
\(547\) | 2.45171 | + | 42.0943i | 0.104828 | + | 1.79982i | 0.484593 | + | 0.874740i | \(0.338968\pi\) |
−0.379765 | + | 0.925083i | \(0.623995\pi\) | |||||||
\(548\) | −3.03467 | − | 17.2105i | −0.129635 | − | 0.735196i | ||||
\(549\) | 25.2175 | − | 1.90962i | 1.07626 | − | 0.0815007i | ||||
\(550\) | −2.03482 | + | 11.5400i | −0.0867650 | + | 0.492069i | ||||
\(551\) | 7.17307 | + | 0.838412i | 0.305583 | + | 0.0357176i | ||||
\(552\) | −1.91359 | − | 4.69725i | −0.0814478 | − | 0.199928i | ||||
\(553\) | 20.1882 | + | 67.4334i | 0.858491 | + | 2.86756i | ||||
\(554\) | 13.1767 | + | 3.12294i | 0.559824 | + | 0.132681i | ||||
\(555\) | −3.59276 | + | 11.1669i | −0.152504 | + | 0.474007i | ||||
\(556\) | −5.37280 | − | 12.4555i | −0.227857 | − | 0.528233i | ||||
\(557\) | 9.90665 | + | 8.31267i | 0.419758 | + | 0.352219i | 0.828071 | − | 0.560623i | \(-0.189438\pi\) |
−0.408313 | + | 0.912842i | \(0.633883\pi\) | |||||||
\(558\) | −29.9865 | + | 5.82725i | −1.26943 | + | 0.246687i | ||||
\(559\) | −5.23978 | + | 4.39670i | −0.221619 | + | 0.185960i | ||||
\(560\) | −38.3077 | − | 19.2388i | −1.61880 | − | 0.812990i | ||||
\(561\) | −18.4217 | + | 30.4562i | −0.777766 | + | 1.28586i | ||||
\(562\) | 33.6591 | − | 3.93419i | 1.41983 | − | 0.165954i | ||||
\(563\) | 1.04715 | − | 17.9788i | 0.0441320 | − | 0.757717i | −0.901560 | − | 0.432654i | \(-0.857577\pi\) |
0.945692 | − | 0.325063i | \(-0.105386\pi\) | |||||||
\(564\) | −5.20105 | − | 1.34522i | −0.219004 | − | 0.0566439i | ||||
\(565\) | −3.85395 | − | 4.08495i | −0.162137 | − | 0.171855i | ||||
\(566\) | 46.7981 | 1.96707 | ||||||||
\(567\) | −36.6162 | − | 16.8201i | −1.53774 | − | 0.706379i | ||||
\(568\) | −0.717431 | −0.0301027 | ||||||||
\(569\) | −21.3874 | − | 22.6693i | −0.896605 | − | 0.950345i | 0.102409 | − | 0.994742i | \(-0.467345\pi\) |
−0.999014 | + | 0.0443970i | \(0.985863\pi\) | |||||||
\(570\) | −3.80713 | − | 13.7294i | −0.159463 | − | 0.575061i | ||||
\(571\) | −0.937816 | + | 16.1017i | −0.0392464 | + | 0.673835i | 0.920114 | + | 0.391651i | \(0.128096\pi\) |
−0.959360 | + | 0.282184i | \(0.908941\pi\) | |||||||
\(572\) | −7.73745 | + | 0.904378i | −0.323519 | + | 0.0378139i | ||||
\(573\) | 21.5518 | + | 39.1509i | 0.900340 | + | 1.63555i | ||||
\(574\) | 31.0741 | + | 15.6060i | 1.29701 | + | 0.651381i | ||||
\(575\) | 1.73269 | − | 1.45390i | 0.0722580 | − | 0.0606317i | ||||
\(576\) | −2.84848 | − | 0.451298i | −0.118687 | − | 0.0188041i | ||||
\(577\) | 17.6400 | + | 14.8017i | 0.734364 | + | 0.616205i | 0.931318 | − | 0.364208i | \(-0.118660\pi\) |
−0.196953 | + | 0.980413i | \(0.563105\pi\) | |||||||
\(578\) | 0.398717 | + | 0.924329i | 0.0165844 | + | 0.0384470i | ||||
\(579\) | −24.4185 | + | 5.26397i | −1.01480 | + | 0.218763i | ||||
\(580\) | 5.45313 | + | 1.29242i | 0.226429 | + | 0.0536646i | ||||
\(581\) | 10.0284 | + | 33.4972i | 0.416048 | + | 1.38970i | ||||
\(582\) | 29.8267 | + | 4.10417i | 1.23636 | + | 0.170123i | ||||
\(583\) | 15.1062 | + | 1.76567i | 0.625637 | + | 0.0731265i | ||||
\(584\) | −2.68737 | + | 15.2408i | −0.111204 | + | 0.630669i | ||||
\(585\) | 0.868017 | − | 8.74353i | 0.0358881 | − | 0.361501i | ||||
\(586\) | 2.25210 | + | 12.7723i | 0.0930332 | + | 0.527618i | ||||
\(587\) | −0.938856 | − | 16.1195i | −0.0387507 | − | 0.665324i | −0.960627 | − | 0.277840i | \(-0.910381\pi\) |
0.921877 | − | 0.387484i | \(-0.126656\pi\) | |||||||
\(588\) | 4.39517 | − | 22.2623i | 0.181254 | − | 0.918082i | ||||
\(589\) | −5.76657 | + | 13.3684i | −0.237607 | + | 0.550836i | ||||
\(590\) | 6.14321 | − | 3.08523i | 0.252912 | − | 0.127017i | ||||
\(591\) | −40.5903 | + | 19.3594i | −1.66966 | + | 0.796337i | ||||
\(592\) | −17.2071 | + | 4.07816i | −0.707208 | + | 0.167611i | ||||
\(593\) | 12.2926 | + | 21.2914i | 0.504796 | + | 0.874332i | 0.999985 | + | 0.00554657i | \(0.00176554\pi\) |
−0.495189 | + | 0.868785i | \(0.664901\pi\) | |||||||
\(594\) | 41.9948 | − | 17.9664i | 1.72307 | − | 0.737171i | ||||
\(595\) | 17.3702 | − | 30.0861i | 0.712109 | − | 1.23341i | ||||
\(596\) | −1.53748 | + | 5.13553i | −0.0629775 | + | 0.210360i | ||||
\(597\) | −3.43640 | + | 7.54000i | −0.140642 | + | 0.308591i | ||||
\(598\) | 3.75817 | + | 2.47179i | 0.153683 | + | 0.101079i | ||||
\(599\) | 27.8964 | + | 37.4714i | 1.13982 | + | 1.53104i | 0.809450 | + | 0.587189i | \(0.199765\pi\) |
0.330368 | + | 0.943852i | \(0.392827\pi\) | |||||||
\(600\) | −0.611812 | − | 3.93755i | −0.0249771 | − | 0.160750i | ||||
\(601\) | −23.7662 | + | 15.6313i | −0.969442 | + | 0.637612i | −0.932295 | − | 0.361698i | \(-0.882197\pi\) |
−0.0371468 | + | 0.999310i | \(0.511827\pi\) | |||||||
\(602\) | 32.6121 | + | 11.8698i | 1.32917 | + | 0.483779i | ||||
\(603\) | −31.2233 | + | 9.94294i | −1.27151 | + | 0.404908i | ||||
\(604\) | −6.49815 | + | 2.36513i | −0.264406 | + | 0.0962359i | ||||
\(605\) | 16.8333 | − | 22.6111i | 0.684373 | − | 0.919272i | ||||
\(606\) | −0.224016 | − | 5.92494i | −0.00910001 | − | 0.240684i | ||||
\(607\) | −0.628924 | + | 0.666621i | −0.0255272 | + | 0.0270573i | −0.740011 | − | 0.672594i | \(-0.765180\pi\) |
0.714484 | + | 0.699652i | \(0.246661\pi\) | |||||||
\(608\) | 8.86873 | − | 9.40030i | 0.359674 | − | 0.381233i | ||||
\(609\) | −0.853786 | − | 22.5816i | −0.0345972 | − | 0.915053i | ||||
\(610\) | 16.7085 | − | 22.4434i | 0.676506 | − | 0.908705i | ||||
\(611\) | −4.43873 | + | 1.61557i | −0.179572 | + | 0.0653588i | ||||
\(612\) | −2.60828 | + | 11.9265i | −0.105434 | + | 0.482101i | ||||
\(613\) | 3.34720 | + | 1.21828i | 0.135192 | + | 0.0492059i | 0.408730 | − | 0.912655i | \(-0.365972\pi\) |
−0.273538 | + | 0.961861i | \(0.588194\pi\) | |||||||
\(614\) | −47.1171 | + | 30.9894i | −1.90149 | + | 1.25063i | ||||
\(615\) | −2.28185 | − | 14.6857i | −0.0920131 | − | 0.592186i | ||||
\(616\) | −23.4012 | − | 31.4333i | −0.942862 | − | 1.26648i | ||||
\(617\) | −10.5444 | − | 6.93515i | −0.424501 | − | 0.279199i | 0.319231 | − | 0.947677i | \(-0.396576\pi\) |
−0.743732 | + | 0.668478i | \(0.766946\pi\) | |||||||
\(618\) | −18.4716 | + | 40.5295i | −0.743035 | + | 1.63034i | ||||
\(619\) | 9.77493 | − | 32.6505i | 0.392888 | − | 1.31234i | −0.501544 | − | 0.865132i | \(-0.667235\pi\) |
0.894432 | − | 0.447204i | \(-0.147580\pi\) | |||||||
\(620\) | −5.64893 | + | 9.78423i | −0.226866 | + | 0.392944i | ||||
\(621\) | −8.43870 | − | 2.55383i | −0.338633 | − | 0.102482i | ||||
\(622\) | −15.6711 | − | 27.1431i | −0.628352 | − | 1.08834i | ||||
\(623\) | 16.4103 | − | 3.88930i | 0.657463 | − | 0.155822i | ||||
\(624\) | 11.9554 | − | 5.70208i | 0.478600 | − | 0.228266i | ||||
\(625\) | −14.7966 | + | 7.43113i | −0.591864 | + | 0.297245i | ||||
\(626\) | 4.02657 | − | 9.33464i | 0.160934 | − | 0.373087i | ||||
\(627\) | 4.21654 | − | 21.3576i | 0.168393 | − | 0.852939i | ||||
\(628\) | −0.830778 | − | 14.2639i | −0.0331517 | − | 0.569192i | ||||
\(629\) | −2.48859 | − | 14.1135i | −0.0992265 | − | 0.562742i | ||||
\(630\) | −40.6216 | + | 18.3674i | −1.61840 | + | 0.731775i | ||||
\(631\) | −1.21968 | + | 6.91714i | −0.0485546 | + | 0.275367i | −0.999413 | − | 0.0342592i | \(-0.989093\pi\) |
0.950858 | + | 0.309626i | \(0.100204\pi\) | |||||||
\(632\) | 26.9504 | + | 3.15005i | 1.07203 | + | 0.125302i | ||||
\(633\) | −28.9961 | − | 3.98989i | −1.15249 | − | 0.158584i | ||||
\(634\) | 5.61075 | + | 18.7412i | 0.222832 | + | 0.744309i | ||||
\(635\) | −19.8129 | − | 4.69574i | −0.786251 | − | 0.186345i | ||||
\(636\) | 5.09941 | − | 1.09929i | 0.202205 | − | 0.0435899i | ||||
\(637\) | −7.90272 | − | 18.3206i | −0.313117 | − | 0.725888i | ||||
\(638\) | 19.6230 | + | 16.4656i | 0.776882 | + | 0.651881i | ||||
\(639\) | −0.784869 | + | 0.969135i | −0.0310489 | + | 0.0383384i | ||||
\(640\) | −17.7435 | + | 14.8885i | −0.701373 | + | 0.588521i | ||||
\(641\) | −20.9884 | − | 10.5408i | −0.828993 | − | 0.416336i | −0.0168951 | − | 0.999857i | \(-0.505378\pi\) |
−0.812098 | + | 0.583521i | \(0.801674\pi\) | |||||||
\(642\) | −23.1488 | − | 42.0521i | −0.913612 | − | 1.65966i | ||||
\(643\) | 36.1058 | − | 4.22017i | 1.42387 | − | 0.166427i | 0.630986 | − | 0.775794i | \(-0.282650\pi\) |
0.792888 | + | 0.609367i | \(0.208576\pi\) | |||||||
\(644\) | 0.443609 | − | 7.61647i | 0.0174806 | − | 0.300131i | ||||
\(645\) | −3.96361 | − | 14.2937i | −0.156067 | − | 0.562813i | ||||
\(646\) | 11.9448 | + | 12.6607i | 0.469960 | + | 0.498129i | ||||
\(647\) | −46.1669 | −1.81501 | −0.907505 | − | 0.420042i | \(-0.862015\pi\) | ||||
−0.907505 | + | 0.420042i | \(0.862015\pi\) | |||||||
\(648\) | −11.5440 | + | 10.3922i | −0.453492 | + | 0.408245i | ||||
\(649\) | 10.5040 | 0.412316 | ||||||||
\(650\) | 2.42512 | + | 2.57048i | 0.0951212 | + | 0.100823i | ||||
\(651\) | 44.1049 | + | 11.4075i | 1.72861 | + | 0.447094i | ||||
\(652\) | 0.287582 | − | 4.93759i | 0.0112626 | − | 0.193371i | ||||
\(653\) | −18.5757 | + | 2.17119i | −0.726924 | + | 0.0849652i | −0.471503 | − | 0.881865i | \(-0.656288\pi\) |
−0.255421 | + | 0.966830i | \(0.582214\pi\) | |||||||
\(654\) | −8.28732 | + | 13.7012i | −0.324060 | + | 0.535760i | ||||
\(655\) | 19.3840 | + | 9.73502i | 0.757396 | + | 0.380379i | ||||
\(656\) | 17.1627 | − | 14.4012i | 0.670089 | − | 0.562272i | ||||
\(657\) | 17.6479 | + | 20.3036i | 0.688511 | + | 0.792120i | ||||
\(658\) | 18.3595 | + | 15.4055i | 0.715729 | + | 0.600568i | ||||
\(659\) | −6.65367 | − | 15.4249i | −0.259190 | − | 0.600870i | 0.738080 | − | 0.674714i | \(-0.235733\pi\) |
−0.997270 | + | 0.0738432i | \(0.976474\pi\) | |||||||
\(660\) | 5.17397 | − | 16.0815i | 0.201396 | − | 0.625972i | ||||
\(661\) | 29.0586 | + | 6.88701i | 1.13025 | + | 0.267874i | 0.752859 | − | 0.658181i | \(-0.228674\pi\) |
0.377388 | + | 0.926055i | \(0.376822\pi\) | |||||||
\(662\) | −9.94561 | − | 33.2207i | −0.386547 | − | 1.29116i | ||||
\(663\) | 4.04988 | + | 9.94116i | 0.157284 | + | 0.386083i | ||||
\(664\) | 13.3875 | + | 1.56477i | 0.519534 | + | 0.0607248i | ||||
\(665\) | −3.68962 | + | 20.9249i | −0.143077 | + | 0.811432i | ||||
\(666\) | −7.96648 | + | 16.5757i | −0.308695 | + | 0.642296i | ||||
\(667\) | −0.858602 | − | 4.86938i | −0.0332452 | − | 0.188543i | ||||
\(668\) | 0.620154 | + | 10.6476i | 0.0239945 | + | 0.411969i | ||||
\(669\) | 22.1535 | + | 19.3721i | 0.856502 | + | 0.748969i | ||||
\(670\) | −14.3595 | + | 33.2890i | −0.554755 | + | 1.28607i | ||||
\(671\) | 38.2052 | − | 19.1874i | 1.47490 | − | 0.740721i | ||||
\(672\) | −33.3261 | − | 22.9056i | −1.28558 | − | 0.883601i | ||||
\(673\) | 7.61756 | − | 1.80539i | 0.293635 | − | 0.0695929i | −0.0811580 | − | 0.996701i | \(-0.525862\pi\) |
0.374793 | + | 0.927108i | \(0.377714\pi\) | |||||||
\(674\) | 9.12756 | + | 15.8094i | 0.351580 | + | 0.608955i | ||||
\(675\) | −5.98832 | − | 3.48122i | −0.230491 | − | 0.133992i | ||||
\(676\) | 5.35324 | − | 9.27209i | 0.205894 | − | 0.356619i | ||||
\(677\) | −10.4554 | + | 34.9236i | −0.401835 | + | 1.34222i | 0.482714 | + | 0.875778i | \(0.339651\pi\) |
−0.884550 | + | 0.466446i | \(0.845534\pi\) | |||||||
\(678\) | −5.11266 | − | 7.16805i | −0.196350 | − | 0.275287i | ||||
\(679\) | −37.5139 | − | 24.6733i | −1.43965 | − | 0.946873i | ||||
\(680\) | −7.99689 | − | 10.7417i | −0.306667 | − | 0.411925i | ||||
\(681\) | 10.7524 | − | 8.65502i | 0.412033 | − | 0.331661i | ||||
\(682\) | −43.1454 | + | 28.3772i | −1.65212 | + | 1.08662i | ||||
\(683\) | −31.2875 | − | 11.3877i | −1.19718 | − | 0.435739i | −0.334943 | − | 0.942238i | \(-0.608717\pi\) |
−0.862240 | + | 0.506500i | \(0.830939\pi\) | |||||||
\(684\) | −0.995781 | − | 7.40011i | −0.0380746 | − | 0.282950i | ||||
\(685\) | 31.3126 | − | 11.3969i | 1.19639 | − | 0.435452i | ||||
\(686\) | −28.0143 | + | 37.6297i | −1.06959 | + | 1.43671i | ||||
\(687\) | 29.0434 | + | 15.3354i | 1.10808 | + | 0.585081i | ||||
\(688\) | 15.3448 | − | 16.2646i | 0.585016 | − | 0.620081i | ||||
\(689\) | 3.14761 | − | 3.33628i | 0.119915 | − | 0.127102i | ||||
\(690\) | −8.25739 | + | 5.19297i | −0.314354 | + | 0.197693i | ||||
\(691\) | −10.8022 | + | 14.5099i | −0.410935 | + | 0.551982i | −0.958615 | − | 0.284707i | \(-0.908104\pi\) |
0.547680 | + | 0.836688i | \(0.315511\pi\) | |||||||
\(692\) | 8.36901 | − | 3.04607i | 0.318142 | − | 0.115794i | ||||
\(693\) | −68.0623 | − | 2.77668i | −2.58547 | − | 0.105477i | ||||
\(694\) | −42.5959 | − | 15.5036i | −1.61692 | − | 0.588510i | ||||
\(695\) | 21.6098 | − | 14.2130i | 0.819705 | − | 0.539128i | ||||
\(696\) | −8.12311 | − | 3.14554i | −0.307906 | − | 0.119231i | ||||
\(697\) | 10.8425 | + | 14.5640i | 0.410688 | + | 0.551649i | ||||
\(698\) | −1.11162 | − | 0.731122i | −0.0420753 | − | 0.0276734i | ||||
\(699\) | 39.4579 | − | 3.79839i | 1.49244 | − | 0.143668i | ||||
\(700\) | 1.71907 | − | 5.74210i | 0.0649748 | − | 0.217031i | ||||
\(701\) | −24.5717 | + | 42.5595i | −0.928062 | + | 1.60745i | −0.141500 | + | 0.989938i | \(0.545192\pi\) |
−0.786562 | + | 0.617512i | \(0.788141\pi\) | |||||||
\(702\) | 3.21673 | − | 13.3943i | 0.121407 | − | 0.505534i | ||||
\(703\) | 4.38258 | + | 7.59084i | 0.165292 | + | 0.286294i | ||||
\(704\) | −4.74405 | + | 1.12436i | −0.178798 | + | 0.0423759i | ||||
\(705\) | 0.803939 | − | 10.2118i | 0.0302781 | − | 0.384599i | ||||
\(706\) | 28.3800 | − | 14.2530i | 1.06809 | − | 0.536417i | ||||
\(707\) | −3.50228 | + | 8.11919i | −0.131717 | + | 0.305354i | ||||
\(708\) | 3.40989 | − | 1.16294i | 0.128151 | − | 0.0437060i | ||||
\(709\) | −0.886251 | − | 15.2163i | −0.0332838 | − | 0.571462i | −0.973186 | − | 0.230018i | \(-0.926121\pi\) |
0.939902 | − | 0.341443i | \(-0.110916\pi\) | |||||||
\(710\) | 0.239592 | + | 1.35879i | 0.00899173 | + | 0.0509946i | ||||
\(711\) | 33.7389 | − | 32.9595i | 1.26531 | − | 1.23608i | ||||
\(712\) | 1.12888 | − | 6.40222i | 0.0423067 | − | 0.239934i | ||||
\(713\) | 9.90053 | + | 1.15721i | 0.370778 | + | 0.0433377i | ||||
\(714\) | 33.4078 | − | 43.0152i | 1.25025 | − | 1.60980i | ||||
\(715\) | −4.26011 | − | 14.2298i | −0.159319 | − | 0.532162i | ||||
\(716\) | 7.30097 | + | 1.73036i | 0.272850 | + | 0.0646667i | ||||
\(717\) | −3.75565 | − | 4.14696i | −0.140257 | − | 0.154871i | ||||
\(718\) | −19.2919 | − | 44.7237i | −0.719968 | − | 1.66907i | ||||
\(719\) | 3.40407 | + | 2.85635i | 0.126950 | + | 0.106524i | 0.704052 | − | 0.710148i | \(-0.251372\pi\) |
−0.577102 | + | 0.816672i | \(0.695817\pi\) | |||||||
\(720\) | 0.499889 | + | 28.7195i | 0.0186298 | + | 1.07031i | ||||
\(721\) | 50.8840 | − | 42.6967i | 1.89502 | − | 1.59011i | ||||
\(722\) | 19.9162 | + | 10.0023i | 0.741203 | + | 0.372246i | ||||
\(723\) | 4.87947 | + | 0.0994903i | 0.181470 | + | 0.00370009i | ||||
\(724\) | −2.41259 | + | 0.281991i | −0.0896630 | + | 0.0104801i | ||||
\(725\) | 0.225867 | − | 3.87799i | 0.00838850 | − | 0.144025i | ||||
\(726\) | 30.9765 | − | 31.5203i | 1.14964 | − | 1.16983i | ||||
\(727\) | −35.9541 | − | 38.1092i | −1.33347 | − | 1.41339i | −0.838937 | − | 0.544229i | \(-0.816822\pi\) |
−0.494528 | − | 0.869162i | \(-0.664659\pi\) | |||||||
\(728\) | −11.8182 | −0.438011 | ||||||||
\(729\) | 1.40910 | + | 26.9632i | 0.0521888 | + | 0.998637i | ||||
\(730\) | 29.7631 | 1.10158 | ||||||||
\(731\) | 12.4357 | + | 13.1811i | 0.459951 | + | 0.487519i | ||||
\(732\) | 10.2782 | − | 10.4586i | 0.379893 | − | 0.386563i | ||||
\(733\) | −1.24694 | + | 21.4091i | −0.0460568 | + | 0.790765i | 0.893646 | + | 0.448773i | \(0.148139\pi\) |
−0.939703 | + | 0.341992i | \(0.888898\pi\) | |||||||
\(734\) | 17.2254 | − | 2.01336i | 0.635802 | − | 0.0743146i | ||||
\(735\) | 43.2589 | + | 0.882030i | 1.59563 | + | 0.0325342i | ||||
\(736\) | −7.90703 | − | 3.97106i | −0.291457 | − | 0.146375i | ||||
\(737\) | −42.4353 | + | 35.6074i | −1.56312 | + | 1.31162i | ||||
\(738\) | −0.405495 | − | 23.2964i | −0.0149265 | − | 0.857552i | ||||
\(739\) | 11.6560 | + | 9.78058i | 0.428774 | + | 0.359784i | 0.831489 | − | 0.555541i | \(-0.187489\pi\) |
−0.402715 | + | 0.915326i | \(0.631933\pi\) | |||||||
\(740\) | 2.69403 | + | 6.24547i | 0.0990347 | + | 0.229588i | ||||
\(741\) | −4.40711 | − | 4.86629i | −0.161899 | − | 0.178768i | ||||
\(742\) | −22.6450 | − | 5.36695i | −0.831323 | − | 0.197027i | ||||
\(743\) | −7.95570 | − | 26.5739i | −0.291866 | − | 0.974902i | −0.970637 | − | 0.240551i | \(-0.922672\pi\) |
0.678770 | − | 0.734351i | \(-0.262513\pi\) | |||||||
\(744\) | 10.7716 | − | 13.8692i | 0.394905 | − | 0.508471i | ||||
\(745\) | −10.1524 | − | 1.18665i | −0.371957 | − | 0.0434755i | ||||
\(746\) | 0.581013 | − | 3.29509i | 0.0212724 | − | 0.120642i | ||||
\(747\) | 16.7596 | − | 16.3725i | 0.613202 | − | 0.599037i | ||||
\(748\) | 3.58384 | + | 20.3250i | 0.131038 | + | 0.743154i | ||||
\(749\) | 4.16245 | + | 71.4665i | 0.152093 | + | 2.61133i | ||||
\(750\) | −34.4591 | + | 11.7523i | −1.25827 | + | 0.429132i | ||||
\(751\) | −12.1282 | + | 28.1164i | −0.442566 | + | 1.02598i | 0.540268 | + | 0.841493i | \(0.318323\pi\) |
−0.982834 | + | 0.184490i | \(0.940937\pi\) | |||||||
\(752\) | 13.7993 | − | 6.93028i | 0.503210 | − | 0.252721i | ||||
\(753\) | −0.987697 | + | 12.5459i | −0.0359937 | + | 0.457199i | ||||
\(754\) | 7.51701 | − | 1.78157i | 0.273754 | − | 0.0648808i | ||||
\(755\) | −6.59274 | − | 11.4190i | −0.239934 | − | 0.415579i | ||||
\(756\) | −22.4024 | + | 6.63410i | −0.814768 | + | 0.241280i | ||||
\(757\) | 10.3549 | − | 17.9352i | 0.376355 | − | 0.651866i | −0.614174 | − | 0.789171i | \(-0.710511\pi\) |
0.990529 | + | 0.137304i | \(0.0438439\pi\) | |||||||
\(758\) | 3.91422 | − | 13.0744i | 0.142171 | − | 0.474884i | ||||
\(759\) | −14.8362 | + | 1.42819i | −0.538519 | + | 0.0518401i | ||||
\(760\) | 6.84303 | + | 4.50073i | 0.248223 | + | 0.163259i | ||||
\(761\) | −28.5083 | − | 38.2933i | −1.03343 | − | 1.38813i | −0.918800 | − | 0.394724i | \(-0.870840\pi\) |
−0.114626 | − | 0.993409i | \(-0.536567\pi\) | |||||||
\(762\) | −29.7683 | − | 11.5273i | −1.07839 | − | 0.417590i | ||||
\(763\) | 19.9515 | − | 13.1223i | 0.722293 | − | 0.475059i | ||||
\(764\) | 24.3503 | + | 8.86280i | 0.880964 | + | 0.320645i | ||||
\(765\) | −23.2589 | − | 0.948873i | −0.840928 | − | 0.0343066i | ||||
\(766\) | 5.33851 | − | 1.94306i | 0.192888 | − | 0.0702055i | ||||
\(767\) | 1.89166 | − | 2.54094i | 0.0683040 | − | 0.0917482i | ||||
\(768\) | −27.9206 | + | 17.5589i | −1.00750 | + | 0.633603i | ||||
\(769\) | 19.3617 | − | 20.5223i | 0.698203 | − | 0.740051i | −0.277120 | − | 0.960835i | \(-0.589380\pi\) |
0.975323 | + | 0.220784i | \(0.0708615\pi\) | |||||||
\(770\) | −51.7188 | + | 54.8187i | −1.86381 | + | 1.97553i | ||||
\(771\) | −13.1234 | − | 6.92934i | −0.472626 | − | 0.249554i | ||||
\(772\) | −8.64914 | + | 11.6178i | −0.311289 | + | 0.418134i | ||||
\(773\) | 39.1725 | − | 14.2576i | 1.40894 | − | 0.512812i | 0.478120 | − | 0.878294i | \(-0.341318\pi\) |
0.930818 | + | 0.365483i | \(0.119096\pi\) | |||||||
\(774\) | −3.10126 | − | 23.0469i | −0.111472 | − | 0.828403i | ||||
\(775\) | 7.35887 | + | 2.67841i | 0.264338 | + | 0.0962113i | ||||
\(776\) | −14.4607 | + | 9.51094i | −0.519108 | + | 0.341423i | ||||
\(777\) | 21.3651 | − | 17.1976i | 0.766467 | − | 0.616959i | ||||
\(778\) | 7.43614 | + | 9.98847i | 0.266599 | + | 0.358104i | ||||
\(779\) | −9.27802 | − | 6.10225i | −0.332419 | − | 0.218636i | ||||
\(780\) | −2.95839 | − | 4.14773i | −0.105927 | − | 0.148513i | ||||
\(781\) | −0.604649 | + | 2.01967i | −0.0216360 | + | 0.0722694i | ||||
\(782\) | 5.95855 | − | 10.3205i | 0.213077 | − | 0.369061i | ||||
\(783\) | −13.1358 | + | 7.53181i | −0.469435 | + | 0.269165i | ||||
\(784\) | 32.6130 | + | 56.4873i | 1.16475 | + | 2.01740i | ||||
\(785\) | 26.5093 | − | 6.28283i | 0.946159 | − | 0.224244i | ||||
\(786\) | 28.0253 | + | 19.2623i | 0.999629 | + | 0.687062i | ||||
\(787\) | 11.2813 | − | 5.66567i | 0.402134 | − | 0.201959i | −0.236224 | − | 0.971699i | \(-0.575910\pi\) |
0.638359 | + | 0.769739i | \(0.279614\pi\) | |||||||
\(788\) | −10.3279 | + | 23.9427i | −0.367916 | + | 0.852925i | ||||
\(789\) | −22.9549 | − | 20.0729i | −0.817217 | − | 0.714616i | ||||
\(790\) | −3.03420 | − | 52.0952i | −0.107952 | − | 1.85346i | ||||
\(791\) | 2.28009 | + | 12.9310i | 0.0810706 | + | 0.459774i | ||||
\(792\) | −11.3745 | + | 23.6667i | −0.404175 | + | 0.840960i | ||||
\(793\) | 2.23890 | − | 12.6974i | 0.0795057 | − | 0.450899i | ||||
\(794\) | −57.9543 | − | 6.77388i | −2.05672 | − | 0.240396i | ||||
\(795\) | 3.75266 | + | 9.21156i | 0.133093 | + | 0.326700i | ||||
\(796\) | 1.37796 | + | 4.60271i | 0.0488406 | + | 0.163139i | ||||
\(797\) | 25.3705 | + | 6.01292i | 0.898670 | + | 0.212989i | 0.653890 | − | 0.756590i | \(-0.273136\pi\) |
0.244780 | + | 0.969579i | \(0.421284\pi\) | |||||||
\(798\) | −10.2023 | + | 31.7104i | −0.361158 | + | 1.12254i | ||||
\(799\) | 4.95666 | + | 11.4908i | 0.175354 | + | 0.406517i | ||||
\(800\) | −5.32511 | − | 4.46830i | −0.188271 | − | 0.157978i | ||||
\(801\) | −7.41339 | − | 8.52897i | −0.261939 | − | 0.301356i | ||||
\(802\) | −10.4063 | + | 8.73193i | −0.367459 | + | 0.308335i | ||||
\(803\) | 40.6401 | + | 20.4102i | 1.43416 | + | 0.720261i | ||||
\(804\) | −9.83345 | + | 16.2574i | −0.346799 | + | 0.573354i | ||||
\(805\) | 14.4489 | − | 1.68883i | 0.509257 | − | 0.0595236i | ||||
\(806\) | −0.905538 | + | 15.5475i | −0.0318962 | + | 0.547637i | ||||
\(807\) | −14.2337 | − | 3.68146i | −0.501050 | − | 0.129594i | ||||
\(808\) | 2.33906 | + | 2.47926i | 0.0822879 | + | 0.0872201i | ||||
\(809\) | 22.3622 | 0.786213 | 0.393107 | − | 0.919493i | \(-0.371400\pi\) | ||||
0.393107 | + | 0.919493i | \(0.371400\pi\) | |||||||
\(810\) | 23.5378 | + | 18.3935i | 0.827033 | + | 0.646280i | ||||
\(811\) | −41.9608 | −1.47344 | −0.736722 | − | 0.676196i | \(-0.763627\pi\) | ||||
−0.736722 | + | 0.676196i | \(0.763627\pi\) | |||||||
\(812\) | −8.99171 | − | 9.53066i | −0.315547 | − | 0.334461i | ||||
\(813\) | 0.280949 | + | 1.01316i | 0.00985329 | + | 0.0355332i | ||||
\(814\) | −1.80772 | + | 31.0373i | −0.0633604 | + | 1.08786i | ||||
\(815\) | 9.36690 | − | 1.09483i | 0.328108 | − | 0.0383503i | ||||
\(816\) | −16.9227 | − | 30.7417i | −0.592414 | − | 1.07618i | ||||
\(817\) | −9.90441 | − | 4.97418i | −0.346511 | − | 0.174025i | ||||
\(818\) | 12.2827 | − | 10.3064i | 0.429454 | − | 0.360355i | ||||
\(819\) | −12.9291 | + | 15.9645i | −0.451778 | + | 0.557844i | ||||
\(820\) | −6.60131 | − | 5.53916i | −0.230528 | − | 0.193436i | ||||
\(821\) | 8.41583 | + | 19.5101i | 0.293715 | + | 0.680907i | 0.999625 | − | 0.0273944i | \(-0.00872101\pi\) |
−0.705910 | + | 0.708301i | \(0.749462\pi\) | |||||||
\(822\) | 51.0680 | − | 11.0089i | 1.78120 | − | 0.383979i | ||||
\(823\) | −40.3273 | − | 9.55774i | −1.40572 | − | 0.333162i | −0.543379 | − | 0.839488i | \(-0.682855\pi\) |
−0.862342 | + | 0.506326i | \(0.831003\pi\) | |||||||
\(824\) | −7.34358 | − | 24.5293i | −0.255826 | − | 0.854517i | ||||
\(825\) | −11.6004 | − | 1.59622i | −0.403873 | − | 0.0555732i | ||||
\(826\) | −15.9640 | − | 1.86593i | −0.555459 | − | 0.0649238i | ||||
\(827\) | 7.08843 | − | 40.2005i | 0.246489 | − | 1.39791i | −0.570521 | − | 0.821283i | \(-0.693259\pi\) |
0.817009 | − | 0.576624i | \(-0.195630\pi\) | |||||||
\(828\) | −4.65812 | + | 2.10621i | −0.161881 | + | 0.0731959i | ||||
\(829\) | −5.36897 | − | 30.4490i | −0.186472 | − | 1.05754i | −0.924049 | − | 0.382273i | \(-0.875141\pi\) |
0.737577 | − | 0.675263i | \(-0.235970\pi\) | |||||||
\(830\) | −1.50722 | − | 25.8780i | −0.0523165 | − | 0.898239i | ||||
\(831\) | −2.62099 | + | 13.2758i | −0.0909211 | + | 0.460532i | ||||
\(832\) | −0.582371 | + | 1.35009i | −0.0201901 | + | 0.0468059i | ||||
\(833\) | −47.2375 | + | 23.7236i | −1.63668 | + | 0.821973i | ||||
\(834\) | 36.6001 | − | 17.4562i | 1.26736 | − | 0.604460i | ||||
\(835\) | −19.7885 | + | 4.68997i | −0.684811 | + | 0.162303i | ||||
\(836\) | −6.31139 | − | 10.9316i | −0.218284 | − | 0.378079i | ||||
\(837\) | −6.95106 | − | 29.7236i | −0.240264 | − | 1.02740i | ||||
\(838\) | −18.0238 | + | 31.2181i | −0.622622 | + | 1.07841i | ||||
\(839\) | 4.00888 | − | 13.3906i | 0.138402 | − | 0.462294i | −0.860484 | − | 0.509477i | \(-0.829839\pi\) |
0.998886 | + | 0.0471823i | \(0.0150242\pi\) | |||||||
\(840\) | 10.6285 | − | 23.3206i | 0.366718 | − | 0.804637i | ||||
\(841\) | 17.1344 | + | 11.2695i | 0.590841 | + | 0.388602i | ||||
\(842\) | −1.86328 | − | 2.50282i | −0.0642130 | − | 0.0862530i | ||||
\(843\) | 5.19937 | + | 33.4625i | 0.179076 | + | 1.15251i | ||||
\(844\) | −14.1793 | + | 9.32584i | −0.488070 | + | 0.321009i | ||||
\(845\) | 19.1834 | + | 6.98218i | 0.659928 | + | 0.240194i | ||||
\(846\) | 3.43099 | − | 15.6884i | 0.117960 | − | 0.539378i | ||||
\(847\) | −61.9325 | + | 22.5416i | −2.12803 | + | 0.774539i | ||||
\(848\) | −8.95406 | + | 12.0274i | −0.307484 | + | 0.413022i | ||||
\(849\) | 1.76686 | + | 46.7312i | 0.0606384 | + | 1.60381i | ||||
\(850\) | 6.42492 | − | 6.81002i | 0.220373 | − | 0.233582i | ||||
\(851\) | 4.11819 | − | 4.36503i | 0.141170 | − | 0.149631i | ||||
\(852\) | 0.0273202 | + | 0.722585i | 0.000935973 | + | 0.0247554i | ||||
\(853\) | 14.8173 | − | 19.9031i | 0.507335 | − | 0.681469i | −0.472488 | − | 0.881337i | \(-0.656644\pi\) |
0.979823 | + | 0.199868i | \(0.0640514\pi\) | |||||||
\(854\) | −61.4731 | + | 22.3744i | −2.10357 | + | 0.765635i | ||||
\(855\) | 13.5660 | − | 4.32005i | 0.463949 | − | 0.147743i | ||||
\(856\) | 25.9311 | + | 9.43814i | 0.886306 | + | 0.322589i | ||||
\(857\) | −0.508592 | + | 0.334506i | −0.0173732 | + | 0.0114265i | −0.558166 | − | 0.829729i | \(-0.688495\pi\) |
0.540793 | + | 0.841156i | \(0.318124\pi\) | |||||||
\(858\) | −3.57542 | − | 23.0110i | −0.122063 | − | 0.785582i | ||||
\(859\) | −13.4748 | − | 18.0998i | −0.459755 | − | 0.617559i | 0.510431 | − | 0.859919i | \(-0.329486\pi\) |
−0.970186 | + | 0.242360i | \(0.922078\pi\) | |||||||
\(860\) | −7.18573 | − | 4.72613i | −0.245031 | − | 0.161160i | ||||
\(861\) | −14.4105 | + | 31.6189i | −0.491108 | + | 1.07757i | ||||
\(862\) | −2.11011 | + | 7.04827i | −0.0718707 | + | 0.240065i | ||||
\(863\) | −13.5061 | + | 23.3932i | −0.459753 | + | 0.796315i | −0.998948 | − | 0.0458658i | \(-0.985395\pi\) |
0.539195 | + | 0.842181i | \(0.318729\pi\) | |||||||
\(864\) | −3.22597 | + | 26.9038i | −0.109750 | + | 0.915285i | ||||
\(865\) | 8.49084 | + | 14.7066i | 0.288697 | + | 0.500038i | ||||
\(866\) | −40.8389 | + | 9.67899i | −1.38776 | + | 0.328906i | ||||
\(867\) | −0.907955 | + | 0.433045i | −0.0308358 | + | 0.0147070i | ||||
\(868\) | 23.6052 | − | 11.8550i | 0.801212 | − | 0.402384i | ||||
\(869\) | 31.5815 | − | 73.2141i | 1.07133 | − | 2.48362i | ||||
\(870\) | −3.24479 | + | 16.4354i | −0.110009 | + | 0.557213i | ||||
\(871\) | 0.971372 | + | 16.6778i | 0.0329137 | + | 0.565106i | ||||
\(872\) | −1.59846 | − | 9.06533i | −0.0541308 | − | 0.306991i | ||||
\(873\) | −2.97221 | + | 29.9390i | −0.100594 | + | 1.01328i | ||||
\(874\) | −1.26566 | + | 7.17792i | −0.0428116 | + | 0.242797i | ||||
\(875\) | 53.9292 | + | 6.30342i | 1.82314 | + | 0.213095i | ||||
\(876\) | 15.4526 | + | 2.12629i | 0.522096 | + | 0.0718408i | ||||
\(877\) | −5.22815 | − | 17.4633i | −0.176542 | − | 0.589692i | −0.999759 | − | 0.0219645i | \(-0.993008\pi\) |
0.823217 | − | 0.567728i | \(-0.192177\pi\) | |||||||
\(878\) | 67.3638 | + | 15.9655i | 2.27342 | + | 0.538810i | ||||
\(879\) | −12.6690 | + | 2.73110i | −0.427315 | + | 0.0921175i | ||||
\(880\) | 19.2329 | + | 44.5869i | 0.648342 | + | 1.50302i | ||||
\(881\) | 22.2882 | + | 18.7021i | 0.750910 | + | 0.630088i | 0.935743 | − | 0.352682i | \(-0.114730\pi\) |
−0.184834 | + | 0.982770i | \(0.559175\pi\) | |||||||
\(882\) | 66.9979 | + | 10.6148i | 2.25593 | + | 0.357419i | ||||
\(883\) | 4.94422 | − | 4.14870i | 0.166386 | − | 0.139615i | −0.555793 | − | 0.831321i | \(-0.687585\pi\) |
0.722179 | + | 0.691706i | \(0.243141\pi\) | |||||||
\(884\) | 5.56210 | + | 2.79339i | 0.187074 | + | 0.0939519i | ||||
\(885\) | 3.31276 | + | 6.01795i | 0.111357 | + | 0.202291i | ||||
\(886\) | 25.8522 | − | 3.02169i | 0.868521 | − | 0.101516i | ||||
\(887\) | 0.0390639 | − | 0.670700i | 0.00131164 | − | 0.0225199i | −0.997589 | − | 0.0694011i | \(-0.977891\pi\) |
0.998900 | + | 0.0468812i | \(0.0149282\pi\) | |||||||
\(888\) | −2.82507 | − | 10.1879i | −0.0948033 | − | 0.341882i | ||||
\(889\) | 32.6697 | + | 34.6278i | 1.09571 | + | 1.16138i | ||||
\(890\) | −12.5026 | −0.419089 | ||||||||
\(891\) | 19.5263 | + | 41.2565i | 0.654155 | + | 1.38214i | ||||
\(892\) | 17.0637 | 0.571334 | ||||||||
\(893\) | −5.25243 | − | 5.56725i | −0.175766 | − | 0.186301i | ||||
\(894\) | −15.5144 | − | 4.01270i | −0.518879 | − | 0.134205i | ||||
\(895\) | −0.831862 | + | 14.2825i | −0.0278061 | + | 0.477412i | ||||
\(896\) | 53.7887 | − | 6.28699i | 1.79695 | − | 0.210034i | ||||
\(897\) | −2.32637 | + | 3.84612i | −0.0776752 | + | 0.128418i | ||||
\(898\) | −28.0807 | − | 14.1027i | −0.937065 | − | 0.470612i | ||||
\(899\) | 13.1140 | − | 11.0039i | 0.437376 | − | 0.367002i | ||||
\(900\) | −3.94254 | + | 0.766151i | −0.131418 | + | 0.0255384i | ||||
\(901\) | −9.30877 | − | 7.81098i | −0.310120 | − | 0.260222i | ||||
\(902\) | −15.6012 | − | 36.1676i | −0.519462 | − | 1.20425i | ||||
\(903\) | −10.6216 | + | 33.0137i | −0.353465 | + | 1.09863i | ||||
\(904\) | 4.92505 | + | 1.16726i | 0.163805 | + | 0.0388225i | ||||
\(905\) | −1.32833 | − | 4.43693i | −0.0441551 | − | 0.147488i | ||||
\(906\) | −7.79898 | − | 19.1440i | −0.259104 | − | 0.636016i | ||||
\(907\) | −0.911839 | − | 0.106579i | −0.0302771 | − | 0.00353889i | 0.100941 | − | 0.994892i | \(-0.467815\pi\) |
−0.131218 | + | 0.991354i | \(0.541889\pi\) | |||||||
\(908\) | 1.38978 | − | 7.88181i | 0.0461213 | − | 0.261567i | ||||
\(909\) | 5.90802 | − | 0.447391i | 0.195957 | − | 0.0148390i | ||||
\(910\) | 3.94678 | + | 22.3833i | 0.130834 | + | 0.741998i | ||||
\(911\) | −2.85564 | − | 49.0294i | −0.0946115 | − | 1.62442i | −0.627769 | − | 0.778400i | \(-0.716032\pi\) |
0.533157 | − | 0.846016i | \(-0.321005\pi\) | |||||||
\(912\) | 16.1566 | + | 14.1282i | 0.535000 | + | 0.467831i | ||||
\(913\) | 15.6879 | − | 36.3687i | 0.519195 | − | 1.20363i | ||||
\(914\) | 6.60678 | − | 3.31805i | 0.218533 | − | 0.109751i | ||||
\(915\) | 23.0421 | + | 15.8372i | 0.761749 | + | 0.523563i | ||||
\(916\) | 18.5303 | − | 4.39176i | 0.612258 | − | 0.145108i | ||||
\(917\) | −25.3575 | − | 43.9206i | −0.837380 | − | 1.45038i | ||||
\(918\) | −35.9212 | − | 6.44440i | −1.18558 | − | 0.212697i | ||||
\(919\) | −11.2428 | + | 19.4732i | −0.370867 | + | 0.642361i | −0.989699 | − | 0.143163i | \(-0.954273\pi\) |
0.618832 | + | 0.785523i | \(0.287606\pi\) | |||||||
\(920\) | 1.60828 | − | 5.37204i | 0.0530235 | − | 0.177111i | ||||
\(921\) | −32.7240 | − | 45.8798i | −1.07829 | − | 1.51179i | ||||
\(922\) | −6.20225 | − | 4.07928i | −0.204260 | − | 0.134344i | ||||
\(923\) | 0.379673 | + | 0.509990i | 0.0124971 | + | 0.0167865i | ||||
\(924\) | −30.7680 | + | 24.7664i | −1.01219 | + | 0.814753i | ||||
\(925\) | 3.93904 | − | 2.59074i | 0.129515 | − | 0.0851832i | ||||
\(926\) | −29.3802 | − | 10.6935i | −0.965492 | − | 0.351410i | ||||
\(927\) | −41.1690 | − | 16.9150i | −1.35217 | − | 0.555561i | ||||
\(928\) | −14.2796 | + | 5.19735i | −0.468751 | + | 0.170611i | ||||
\(929\) | −21.7565 | + | 29.2240i | −0.713807 | + | 0.958810i | 0.286193 | + | 0.958172i | \(0.407610\pi\) |
−1.00000 | 0.000637429i | \(0.999797\pi\) | ||||||||
\(930\) | −29.8652 | − | 15.7693i | −0.979319 | − | 0.517095i | ||||
\(931\) | 22.1861 | − | 23.5159i | 0.727121 | − | 0.770704i | ||||
\(932\) | 15.7730 | − | 16.7184i | 0.516662 | − | 0.547630i | ||||
\(933\) | 26.5126 | − | 16.6735i | 0.867985 | − | 0.545864i | ||||
\(934\) | −26.2918 | + | 35.3160i | −0.860293 | + | 1.15557i | ||||
\(935\) | −36.9791 | + | 13.4593i | −1.20935 | + | 0.440166i | ||||
\(936\) | 3.67662 | + | 7.01368i | 0.120174 | + | 0.229249i | ||||
\(937\) | 39.2069 | + | 14.2701i | 1.28083 | + | 0.466185i | 0.890707 | − | 0.454577i | \(-0.150210\pi\) |
0.390125 | + | 0.920762i | \(0.372432\pi\) | |||||||
\(938\) | 70.8189 | − | 46.5783i | 2.31232 | − | 1.52084i | ||||
\(939\) | 9.47333 | + | 3.66839i | 0.309151 | + | 0.119713i | ||||
\(940\) | −3.54678 | − | 4.76415i | −0.115683 | − | 0.155390i | ||||
\(941\) | 33.1043 | + | 21.7730i | 1.07917 | + | 0.709781i | 0.959123 | − | 0.282988i | \(-0.0913256\pi\) |
0.120045 | + | 0.992768i | \(0.461696\pi\) | |||||||
\(942\) | 42.5150 | − | 4.09267i | 1.38521 | − | 0.133346i | ||||
\(943\) | −2.18057 | + | 7.28360i | −0.0710090 | + | 0.237187i | ||||
\(944\) | −5.17786 | + | 8.96831i | −0.168525 | + | 0.291894i | ||||
\(945\) | −19.8748 | − | 39.8701i | −0.646529 | − | 1.29698i | ||||
\(946\) | −19.6562 | − | 34.0455i | −0.639077 | − | 1.10691i | ||||
\(947\) | −26.1626 | + | 6.20065i | −0.850170 | + | 0.201494i | −0.632531 | − | 0.774535i | \(-0.717984\pi\) |
−0.217639 | + | 0.976029i | \(0.569836\pi\) | |||||||
\(948\) | 2.14639 | − | 27.2639i | 0.0697116 | − | 0.885492i | ||||
\(949\) | 12.2562 | − | 6.15529i | 0.397853 | − | 0.199809i | ||||
\(950\) | −2.26804 | + | 5.25790i | −0.0735848 | + | 0.170589i | ||||
\(951\) | −18.5026 | + | 6.31031i | −0.599989 | + | 0.204626i | ||||
\(952\) | 1.82052 | + | 31.2571i | 0.0590034 | + | 1.01305i | ||||
\(953\) | −4.49622 | − | 25.4993i | −0.145647 | − | 0.826003i | −0.966846 | − | 0.255361i | \(-0.917806\pi\) |
0.821199 | − | 0.570642i | \(-0.193306\pi\) | |||||||
\(954\) | 3.85972 | + | 15.1087i | 0.124963 | + | 0.489161i | ||||
\(955\) | −8.57989 | + | 48.6590i | −0.277639 | + | 1.57457i | ||||
\(956\) | −3.22212 | − | 0.376611i | −0.104211 | − | 0.0121805i | ||||
\(957\) | −15.7013 | + | 20.2166i | −0.507550 | + | 0.653511i | ||||
\(958\) | −6.32689 | − | 21.1333i | −0.204412 | − | 0.682785i | ||||
\(959\) | −75.8088 | − | 17.9670i | −2.44799 | − | 0.580185i | ||||
\(960\) | −2.14036 | − | 2.36337i | −0.0690798 | − | 0.0762773i | ||||
\(961\) | 1.39085 | + | 3.22434i | 0.0448660 | + | 0.104011i | ||||
\(962\) | 7.18247 | + | 6.02681i | 0.231572 | + | 0.194312i | ||||
\(963\) | 41.1180 | − | 24.7035i | 1.32501 | − | 0.796058i | ||||
\(964\) | 2.16779 | − | 1.81899i | 0.0698199 | − | 0.0585858i | ||||
\(965\) | −24.6794 | − | 12.3945i | −0.794458 | − | 0.398992i | ||||
\(966\) | 22.8018 | + | 0.464920i | 0.733637 | + | 0.0149585i | ||||
\(967\) | −15.5598 | + | 1.81868i | −0.500368 | + | 0.0584847i | −0.362534 | − | 0.931971i | \(-0.618088\pi\) |
−0.137834 | + | 0.990455i | \(0.544014\pi\) | |||||||
\(968\) | −1.47721 | + | 25.3626i | −0.0474792 | + | 0.815186i | ||||
\(969\) | −12.1916 | + | 12.4057i | −0.391652 | + | 0.398529i | ||||
\(970\) | 22.8427 | + | 24.2118i | 0.733435 | + | 0.777396i | ||||
\(971\) | 44.9509 | 1.44254 | 0.721272 | − | 0.692652i | \(-0.243558\pi\) | ||||
0.721272 | + | 0.692652i | \(0.243558\pi\) | |||||||
\(972\) | 10.9065 | + | 11.2312i | 0.349826 | + | 0.360241i | ||||
\(973\) | −60.4731 | −1.93868 | ||||||||
\(974\) | 26.2779 | + | 27.8530i | 0.841998 | + | 0.892466i | ||||
\(975\) | −2.47525 | + | 2.51871i | −0.0792714 | + | 0.0806632i | ||||
\(976\) | −2.45077 | + | 42.0780i | −0.0784471 | + | 1.34689i | ||||
\(977\) | 37.7659 | − | 4.41420i | 1.20824 | − | 0.141223i | 0.511969 | − | 0.859004i | \(-0.328916\pi\) |
0.696269 | + | 0.717781i | \(0.254842\pi\) | |||||||
\(978\) | 14.7819 | + | 0.301397i | 0.472674 | + | 0.00963761i | ||||
\(979\) | −17.0717 | − | 8.57374i | −0.545614 | − | 0.274018i | ||||
\(980\) | 19.2185 | − | 16.1262i | 0.613913 | − | 0.515134i | ||||
\(981\) | −13.9945 | − | 7.75820i | −0.446811 | − | 0.247700i | ||||
\(982\) | −53.9205 | − | 45.2447i | −1.72067 | − | 1.44382i | ||||
\(983\) | −6.98104 | − | 16.1839i | −0.222661 | − | 0.516186i | 0.769867 | − | 0.638204i | \(-0.220322\pi\) |
−0.992528 | + | 0.122019i | \(0.961063\pi\) | |||||||
\(984\) | 8.99132 | + | 9.92813i | 0.286633 | + | 0.316497i | ||||
\(985\) | −48.3787 | − | 11.4660i | −1.54147 | − | 0.365336i | ||||
\(986\) | −5.86990 | − | 19.6068i | −0.186936 | − | 0.624408i | ||||
\(987\) | −14.6903 | + | 18.9149i | −0.467597 | + | 0.602069i | ||||
\(988\) | −3.78103 | − | 0.441938i | −0.120290 | − | 0.0140599i | ||||
\(989\) | −1.31768 | + | 7.47293i | −0.0418998 | + | 0.237625i | ||||
\(990\) | 48.6227 | + | 13.6393i | 1.54533 | + | 0.433485i | ||||
\(991\) | −3.64485 | − | 20.6710i | −0.115783 | − | 0.656636i | −0.986360 | − | 0.164604i | \(-0.947365\pi\) |
0.870577 | − | 0.492032i | \(-0.163746\pi\) | |||||||
\(992\) | −1.78125 | − | 30.5829i | −0.0565547 | − | 0.971007i | ||||
\(993\) | 32.7977 | − | 11.1857i | 1.04080 | − | 0.354966i | ||||
\(994\) | 1.27772 | − | 2.96210i | 0.0405270 | − | 0.0939521i | ||||
\(995\) | −8.18662 | + | 4.11147i | −0.259533 | + | 0.130342i | ||||
\(996\) | 1.06621 | − | 13.5432i | 0.0337841 | − | 0.429133i | ||||
\(997\) | −19.3114 | + | 4.57688i | −0.611598 | + | 0.144951i | −0.524730 | − | 0.851269i | \(-0.675834\pi\) |
−0.0868675 | + | 0.996220i | \(0.527686\pi\) | |||||||
\(998\) | −5.02669 | − | 8.70649i | −0.159117 | − | 0.275599i | ||||
\(999\) | −16.8528 | − | 7.32929i | −0.533199 | − | 0.231888i |
(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 | 81.2.g.a.22.7 | ✓ | 144 | |
3.2 | odd | 2 | 243.2.g.a.199.2 | 144 | |||
9.2 | odd | 6 | 729.2.g.a.352.2 | 144 | |||
9.4 | even | 3 | 729.2.g.c.595.2 | 144 | |||
9.5 | odd | 6 | 729.2.g.b.595.7 | 144 | |||
9.7 | even | 3 | 729.2.g.d.352.7 | 144 | |||
81.11 | odd | 54 | 243.2.g.a.127.2 | 144 | |||
81.16 | even | 27 | 729.2.g.d.379.7 | 144 | |||
81.31 | even | 27 | 6561.2.a.c.1.16 | 72 | |||
81.38 | odd | 54 | 729.2.g.b.136.7 | 144 | |||
81.43 | even | 27 | 729.2.g.c.136.2 | 144 | |||
81.50 | odd | 54 | 6561.2.a.d.1.57 | 72 | |||
81.65 | odd | 54 | 729.2.g.a.379.2 | 144 | |||
81.70 | even | 27 | inner | 81.2.g.a.70.7 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.22.7 | ✓ | 144 | 1.1 | even | 1 | trivial | |
81.2.g.a.70.7 | yes | 144 | 81.70 | even | 27 | inner | |
243.2.g.a.127.2 | 144 | 81.11 | odd | 54 | |||
243.2.g.a.199.2 | 144 | 3.2 | odd | 2 | |||
729.2.g.a.352.2 | 144 | 9.2 | odd | 6 | |||
729.2.g.a.379.2 | 144 | 81.65 | odd | 54 | |||
729.2.g.b.136.7 | 144 | 81.38 | odd | 54 | |||
729.2.g.b.595.7 | 144 | 9.5 | odd | 6 | |||
729.2.g.c.136.2 | 144 | 81.43 | even | 27 | |||
729.2.g.c.595.2 | 144 | 9.4 | even | 3 | |||
729.2.g.d.352.7 | 144 | 9.7 | even | 3 | |||
729.2.g.d.379.7 | 144 | 81.16 | even | 27 | |||
6561.2.a.c.1.16 | 72 | 81.31 | even | 27 | |||
6561.2.a.d.1.57 | 72 | 81.50 | odd | 54 |