Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(61,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.u (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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 511.1 | ||
Root | \(-0.766044 - 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 570.511 |
Dual form | 570.2.u.h.541.1 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.173648 | − | 0.984808i | 0.122788 | − | 0.696364i | ||||
\(3\) | 0.766044 | + | 0.642788i | 0.442276 | + | 0.371114i | ||||
\(4\) | −0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | ||||
\(5\) | 0.939693 | − | 0.342020i | 0.420243 | − | 0.152956i | ||||
\(6\) | 0.766044 | − | 0.642788i | 0.312736 | − | 0.262417i | ||||
\(7\) | 1.32635 | + | 2.29731i | 0.501314 | + | 0.868301i | 0.999999 | + | 0.00151779i | \(0.000483127\pi\) |
−0.498685 | + | 0.866783i | \(0.666184\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | 0.173648 | + | 0.984808i | 0.0578827 | + | 0.328269i | ||||
\(10\) | −0.173648 | − | 0.984808i | −0.0549124 | − | 0.311424i | ||||
\(11\) | −0.560307 | + | 0.970481i | −0.168939 | + | 0.292611i | −0.938047 | − | 0.346508i | \(-0.887367\pi\) |
0.769108 | + | 0.639119i | \(0.220701\pi\) | |||||||
\(12\) | −0.500000 | − | 0.866025i | −0.144338 | − | 0.250000i | ||||
\(13\) | 2.61334 | − | 2.19285i | 0.724810 | − | 0.608188i | −0.203901 | − | 0.978992i | \(-0.565362\pi\) |
0.928711 | + | 0.370803i | \(0.120918\pi\) | |||||||
\(14\) | 2.49273 | − | 0.907278i | 0.666209 | − | 0.242480i | ||||
\(15\) | 0.939693 | + | 0.342020i | 0.242628 | + | 0.0883092i | ||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | −0.733956 | + | 4.16247i | −0.178010 | + | 1.00955i | 0.756601 | + | 0.653877i | \(0.226858\pi\) |
−0.934611 | + | 0.355670i | \(0.884253\pi\) | |||||||
\(18\) | 1.00000 | 0.235702 | ||||||||
\(19\) | 3.79086 | − | 2.15160i | 0.869683 | − | 0.493611i | ||||
\(20\) | −1.00000 | −0.223607 | ||||||||
\(21\) | −0.460637 | + | 2.61240i | −0.100519 | + | 0.570073i | ||||
\(22\) | 0.858441 | + | 0.720317i | 0.183020 | + | 0.153572i | ||||
\(23\) | 3.49273 | + | 1.27125i | 0.728284 | + | 0.265074i | 0.679438 | − | 0.733733i | \(-0.262224\pi\) |
0.0488455 | + | 0.998806i | \(0.484446\pi\) | |||||||
\(24\) | −0.939693 | + | 0.342020i | −0.191814 | + | 0.0698146i | ||||
\(25\) | 0.766044 | − | 0.642788i | 0.153209 | − | 0.128558i | ||||
\(26\) | −1.70574 | − | 2.95442i | −0.334523 | − | 0.579410i | ||||
\(27\) | −0.500000 | + | 0.866025i | −0.0962250 | + | 0.166667i | ||||
\(28\) | −0.460637 | − | 2.61240i | −0.0870522 | − | 0.493698i | ||||
\(29\) | 0.624485 | + | 3.54163i | 0.115964 | + | 0.657664i | 0.986268 | + | 0.165150i | \(0.0528109\pi\) |
−0.870304 | + | 0.492514i | \(0.836078\pi\) | |||||||
\(30\) | 0.500000 | − | 0.866025i | 0.0912871 | − | 0.158114i | ||||
\(31\) | −1.35117 | − | 2.34029i | −0.242677 | − | 0.420328i | 0.718799 | − | 0.695218i | \(-0.244692\pi\) |
−0.961476 | + | 0.274889i | \(0.911359\pi\) | |||||||
\(32\) | 0.766044 | − | 0.642788i | 0.135419 | − | 0.113630i | ||||
\(33\) | −1.05303 | + | 0.383273i | −0.183310 | + | 0.0667192i | ||||
\(34\) | 3.97178 | + | 1.44561i | 0.681155 | + | 0.247920i | ||||
\(35\) | 2.03209 | + | 1.70513i | 0.343486 | + | 0.288219i | ||||
\(36\) | 0.173648 | − | 0.984808i | 0.0289414 | − | 0.164135i | ||||
\(37\) | −7.33275 | −1.20550 | −0.602748 | − | 0.797931i | \(-0.705928\pi\) | ||||
−0.602748 | + | 0.797931i | \(0.705928\pi\) | |||||||
\(38\) | −1.46064 | − | 4.10689i | −0.236947 | − | 0.666225i | ||||
\(39\) | 3.41147 | 0.546273 | ||||||||
\(40\) | −0.173648 | + | 0.984808i | −0.0274562 | + | 0.155712i | ||||
\(41\) | −5.00387 | − | 4.19875i | −0.781473 | − | 0.655734i | 0.162146 | − | 0.986767i | \(-0.448158\pi\) |
−0.943619 | + | 0.331033i | \(0.892603\pi\) | |||||||
\(42\) | 2.49273 | + | 0.907278i | 0.384636 | + | 0.139996i | ||||
\(43\) | 10.6702 | − | 3.88365i | 1.62720 | − | 0.592251i | 0.642463 | − | 0.766317i | \(-0.277913\pi\) |
0.984734 | + | 0.174065i | \(0.0556904\pi\) | |||||||
\(44\) | 0.858441 | − | 0.720317i | 0.129415 | − | 0.108592i | ||||
\(45\) | 0.500000 | + | 0.866025i | 0.0745356 | + | 0.129099i | ||||
\(46\) | 1.85844 | − | 3.21891i | 0.274012 | − | 0.474603i | ||||
\(47\) | −1.11334 | − | 6.31407i | −0.162397 | − | 0.921002i | −0.951707 | − | 0.307007i | \(-0.900673\pi\) |
0.789310 | − | 0.613995i | \(-0.210439\pi\) | |||||||
\(48\) | 0.173648 | + | 0.984808i | 0.0250640 | + | 0.142145i | ||||
\(49\) | −0.0184183 | + | 0.0319015i | −0.00263119 | + | 0.00455735i | ||||
\(50\) | −0.500000 | − | 0.866025i | −0.0707107 | − | 0.122474i | ||||
\(51\) | −3.23783 | + | 2.71686i | −0.453386 | + | 0.380436i | ||||
\(52\) | −3.20574 | + | 1.16679i | −0.444556 | + | 0.161805i | ||||
\(53\) | −1.68732 | − | 0.614134i | −0.231771 | − | 0.0843578i | 0.223524 | − | 0.974698i | \(-0.428244\pi\) |
−0.455295 | + | 0.890341i | \(0.650466\pi\) | |||||||
\(54\) | 0.766044 | + | 0.642788i | 0.104245 | + | 0.0874723i | ||||
\(55\) | −0.194593 | + | 1.10359i | −0.0262389 | + | 0.148808i | ||||
\(56\) | −2.65270 | −0.354482 | ||||||||
\(57\) | 4.28699 | + | 0.788496i | 0.567826 | + | 0.104439i | ||||
\(58\) | 3.59627 | 0.472213 | ||||||||
\(59\) | −0.0320889 | + | 0.181985i | −0.00417762 | + | 0.0236924i | −0.986825 | − | 0.161789i | \(-0.948273\pi\) |
0.982648 | + | 0.185482i | \(0.0593846\pi\) | |||||||
\(60\) | −0.766044 | − | 0.642788i | −0.0988959 | − | 0.0829835i | ||||
\(61\) | 5.54576 | + | 2.01849i | 0.710062 | + | 0.258441i | 0.671701 | − | 0.740823i | \(-0.265564\pi\) |
0.0383610 | + | 0.999264i | \(0.487786\pi\) | |||||||
\(62\) | −2.53936 | + | 0.924252i | −0.322499 | + | 0.117380i | ||||
\(63\) | −2.03209 | + | 1.70513i | −0.256019 | + | 0.214826i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 1.70574 | − | 2.95442i | 0.211571 | − | 0.366451i | ||||
\(66\) | 0.194593 | + | 1.10359i | 0.0239527 | + | 0.135843i | ||||
\(67\) | 2.16978 | + | 12.3054i | 0.265081 | + | 1.50335i | 0.768806 | + | 0.639482i | \(0.220851\pi\) |
−0.503725 | + | 0.863864i | \(0.668038\pi\) | |||||||
\(68\) | 2.11334 | − | 3.66041i | 0.256280 | − | 0.443890i | ||||
\(69\) | 1.85844 | + | 3.21891i | 0.223730 | + | 0.387512i | ||||
\(70\) | 2.03209 | − | 1.70513i | 0.242881 | − | 0.203801i | ||||
\(71\) | −8.89053 | + | 3.23589i | −1.05511 | + | 0.384029i | −0.810590 | − | 0.585614i | \(-0.800853\pi\) |
−0.244522 | + | 0.969644i | \(0.578631\pi\) | |||||||
\(72\) | −0.939693 | − | 0.342020i | −0.110744 | − | 0.0403075i | ||||
\(73\) | −5.10014 | − | 4.27952i | −0.596926 | − | 0.500880i | 0.293530 | − | 0.955950i | \(-0.405170\pi\) |
−0.890456 | + | 0.455070i | \(0.849614\pi\) | |||||||
\(74\) | −1.27332 | + | 7.22135i | −0.148020 | + | 0.839465i | ||||
\(75\) | 1.00000 | 0.115470 | ||||||||
\(76\) | −4.29813 | + | 0.725293i | −0.493030 | + | 0.0831968i | ||||
\(77\) | −2.97266 | −0.338766 | ||||||||
\(78\) | 0.592396 | − | 3.35965i | 0.0670757 | − | 0.380405i | ||||
\(79\) | −4.73783 | − | 3.97551i | −0.533047 | − | 0.447280i | 0.336105 | − | 0.941825i | \(-0.390890\pi\) |
−0.869152 | + | 0.494545i | \(0.835335\pi\) | |||||||
\(80\) | 0.939693 | + | 0.342020i | 0.105061 | + | 0.0382390i | ||||
\(81\) | −0.939693 | + | 0.342020i | −0.104410 | + | 0.0380022i | ||||
\(82\) | −5.00387 | + | 4.19875i | −0.552585 | + | 0.463674i | ||||
\(83\) | −5.37211 | − | 9.30477i | −0.589666 | − | 1.02133i | −0.994276 | − | 0.106842i | \(-0.965926\pi\) |
0.404610 | − | 0.914489i | \(-0.367407\pi\) | |||||||
\(84\) | 1.32635 | − | 2.29731i | 0.144717 | − | 0.250657i | ||||
\(85\) | 0.733956 | + | 4.16247i | 0.0796087 | + | 0.451483i | ||||
\(86\) | −1.97178 | − | 11.1825i | −0.212623 | − | 1.20584i | ||||
\(87\) | −1.79813 | + | 3.11446i | −0.192780 | + | 0.333905i | ||||
\(88\) | −0.560307 | − | 0.970481i | −0.0597290 | − | 0.103454i | ||||
\(89\) | −9.03983 | + | 7.58532i | −0.958220 | + | 0.804042i | −0.980663 | − | 0.195706i | \(-0.937300\pi\) |
0.0224426 | + | 0.999748i | \(0.492856\pi\) | |||||||
\(90\) | 0.939693 | − | 0.342020i | 0.0990523 | − | 0.0360521i | ||||
\(91\) | 8.50387 | + | 3.09516i | 0.891448 | + | 0.324460i | ||||
\(92\) | −2.84730 | − | 2.38917i | −0.296851 | − | 0.249088i | ||||
\(93\) | 0.469255 | − | 2.66128i | 0.0486595 | − | 0.275962i | ||||
\(94\) | −6.41147 | −0.661293 | ||||||||
\(95\) | 2.82635 | − | 3.31839i | 0.289978 | − | 0.340460i | ||||
\(96\) | 1.00000 | 0.102062 | ||||||||
\(97\) | 1.21554 | − | 6.89365i | 0.123419 | − | 0.699945i | −0.858815 | − | 0.512286i | \(-0.828799\pi\) |
0.982234 | − | 0.187659i | \(-0.0600900\pi\) | |||||||
\(98\) | 0.0282185 | + | 0.0236781i | 0.00285050 | + | 0.00239185i | ||||
\(99\) | −1.05303 | − | 0.383273i | −0.105834 | − | 0.0385204i | ||||
\(100\) | −0.939693 | + | 0.342020i | −0.0939693 | + | 0.0342020i | ||||
\(101\) | −8.91534 | + | 7.48086i | −0.887110 | + | 0.744374i | −0.967628 | − | 0.252380i | \(-0.918787\pi\) |
0.0805184 | + | 0.996753i | \(0.474342\pi\) | |||||||
\(102\) | 2.11334 | + | 3.66041i | 0.209252 | + | 0.362435i | ||||
\(103\) | 3.91875 | − | 6.78747i | 0.386126 | − | 0.668789i | −0.605799 | − | 0.795618i | \(-0.707146\pi\) |
0.991925 | + | 0.126828i | \(0.0404798\pi\) | |||||||
\(104\) | 0.592396 | + | 3.35965i | 0.0580892 | + | 0.329440i | ||||
\(105\) | 0.460637 | + | 2.61240i | 0.0449536 | + | 0.254944i | ||||
\(106\) | −0.897804 | + | 1.55504i | −0.0872024 | + | 0.151039i | ||||
\(107\) | −7.90420 | − | 13.6905i | −0.764128 | − | 1.32351i | −0.940706 | − | 0.339222i | \(-0.889836\pi\) |
0.176579 | − | 0.984287i | \(-0.443497\pi\) | |||||||
\(108\) | 0.766044 | − | 0.642788i | 0.0737127 | − | 0.0618523i | ||||
\(109\) | −5.79086 | + | 2.10770i | −0.554664 | + | 0.201881i | −0.604117 | − | 0.796895i | \(-0.706474\pi\) |
0.0494537 | + | 0.998776i | \(0.484252\pi\) | |||||||
\(110\) | 1.05303 | + | 0.383273i | 0.100403 | + | 0.0365436i | ||||
\(111\) | −5.61721 | − | 4.71340i | −0.533162 | − | 0.447376i | ||||
\(112\) | −0.460637 | + | 2.61240i | −0.0435261 | + | 0.246849i | ||||
\(113\) | −3.17705 | −0.298872 | −0.149436 | − | 0.988771i | \(-0.547746\pi\) | ||||
−0.149436 | + | 0.988771i | \(0.547746\pi\) | |||||||
\(114\) | 1.52094 | − | 4.08494i | 0.142450 | − | 0.382590i | ||||
\(115\) | 3.71688 | 0.346601 | ||||||||
\(116\) | 0.624485 | − | 3.54163i | 0.0579820 | − | 0.328832i | ||||
\(117\) | 2.61334 | + | 2.19285i | 0.241603 | + | 0.202729i | ||||
\(118\) | 0.173648 | + | 0.0632028i | 0.0159856 | + | 0.00581829i | ||||
\(119\) | −10.5360 | + | 3.83478i | −0.965830 | + | 0.351533i | ||||
\(120\) | −0.766044 | + | 0.642788i | −0.0699300 | + | 0.0586782i | ||||
\(121\) | 4.87211 | + | 8.43874i | 0.442919 | + | 0.767159i | ||||
\(122\) | 2.95084 | − | 5.11100i | 0.267156 | − | 0.462728i | ||||
\(123\) | −1.13429 | − | 6.43285i | −0.102275 | − | 0.580031i | ||||
\(124\) | 0.469255 | + | 2.66128i | 0.0421404 | + | 0.238990i | ||||
\(125\) | 0.500000 | − | 0.866025i | 0.0447214 | − | 0.0774597i | ||||
\(126\) | 1.32635 | + | 2.29731i | 0.118161 | + | 0.204661i | ||||
\(127\) | 9.03074 | − | 7.57769i | 0.801349 | − | 0.672412i | −0.147177 | − | 0.989110i | \(-0.547019\pi\) |
0.948526 | + | 0.316698i | \(0.102574\pi\) | |||||||
\(128\) | −0.939693 | + | 0.342020i | −0.0830579 | + | 0.0302306i | ||||
\(129\) | 10.6702 | + | 3.88365i | 0.939463 | + | 0.341936i | ||||
\(130\) | −2.61334 | − | 2.19285i | −0.229205 | − | 0.192326i | ||||
\(131\) | −3.15570 | + | 17.8968i | −0.275715 | + | 1.56365i | 0.460969 | + | 0.887416i | \(0.347502\pi\) |
−0.736683 | + | 0.676238i | \(0.763609\pi\) | |||||||
\(132\) | 1.12061 | 0.0975370 | ||||||||
\(133\) | 9.97090 | + | 5.85499i | 0.864587 | + | 0.507692i | ||||
\(134\) | 12.4953 | 1.07943 | ||||||||
\(135\) | −0.173648 | + | 0.984808i | −0.0149453 | + | 0.0847588i | ||||
\(136\) | −3.23783 | − | 2.71686i | −0.277641 | − | 0.232969i | ||||
\(137\) | −12.7836 | − | 4.65284i | −1.09218 | − | 0.397519i | −0.267749 | − | 0.963489i | \(-0.586280\pi\) |
−0.824426 | + | 0.565969i | \(0.808502\pi\) | |||||||
\(138\) | 3.49273 | − | 1.27125i | 0.297321 | − | 0.108216i | ||||
\(139\) | −6.75490 | + | 5.66803i | −0.572943 | + | 0.480756i | −0.882621 | − | 0.470085i | \(-0.844223\pi\) |
0.309678 | + | 0.950842i | \(0.399779\pi\) | |||||||
\(140\) | −1.32635 | − | 2.29731i | −0.112097 | − | 0.194158i | ||||
\(141\) | 3.20574 | − | 5.55250i | 0.269972 | − | 0.467605i | ||||
\(142\) | 1.64290 | + | 9.31737i | 0.137869 | + | 0.781896i | ||||
\(143\) | 0.663848 | + | 3.76487i | 0.0555138 | + | 0.314834i | ||||
\(144\) | −0.500000 | + | 0.866025i | −0.0416667 | + | 0.0721688i | ||||
\(145\) | 1.79813 | + | 3.11446i | 0.149327 | + | 0.258642i | ||||
\(146\) | −5.10014 | + | 4.27952i | −0.422090 | + | 0.354176i | ||||
\(147\) | −0.0346151 | + | 0.0125989i | −0.00285501 | + | 0.00103914i | ||||
\(148\) | 6.89053 | + | 2.50795i | 0.566398 | + | 0.206152i | ||||
\(149\) | 3.13429 | + | 2.62998i | 0.256771 | + | 0.215456i | 0.762081 | − | 0.647481i | \(-0.224178\pi\) |
−0.505311 | + | 0.862938i | \(0.668622\pi\) | |||||||
\(150\) | 0.173648 | − | 0.984808i | 0.0141783 | − | 0.0804092i | ||||
\(151\) | −17.8307 | −1.45104 | −0.725520 | − | 0.688201i | \(-0.758401\pi\) | ||||
−0.725520 | + | 0.688201i | \(0.758401\pi\) | |||||||
\(152\) | −0.0320889 | + | 4.35878i | −0.00260275 | + | 0.353544i | ||||
\(153\) | −4.22668 | −0.341707 | ||||||||
\(154\) | −0.516197 | + | 2.92750i | −0.0415963 | + | 0.235904i | ||||
\(155\) | −2.07011 | − | 1.73703i | −0.166275 | − | 0.139521i | ||||
\(156\) | −3.20574 | − | 1.16679i | −0.256664 | − | 0.0934182i | ||||
\(157\) | −9.44104 | + | 3.43626i | −0.753477 | + | 0.274243i | −0.690068 | − | 0.723745i | \(-0.742419\pi\) |
−0.0634088 | + | 0.997988i | \(0.520197\pi\) | |||||||
\(158\) | −4.73783 | + | 3.97551i | −0.376921 | + | 0.316274i | ||||
\(159\) | −0.897804 | − | 1.55504i | −0.0712005 | − | 0.123323i | ||||
\(160\) | 0.500000 | − | 0.866025i | 0.0395285 | − | 0.0684653i | ||||
\(161\) | 1.71213 | + | 9.70999i | 0.134935 | + | 0.765255i | ||||
\(162\) | 0.173648 | + | 0.984808i | 0.0136431 | + | 0.0773738i | ||||
\(163\) | 0.354570 | − | 0.614134i | 0.0277721 | − | 0.0481027i | −0.851805 | − | 0.523858i | \(-0.824492\pi\) |
0.879577 | + | 0.475756i | \(0.157825\pi\) | |||||||
\(164\) | 3.26604 | + | 5.65695i | 0.255035 | + | 0.441734i | ||||
\(165\) | −0.858441 | + | 0.720317i | −0.0668295 | + | 0.0560766i | ||||
\(166\) | −10.0963 | + | 3.67474i | −0.783622 | + | 0.285215i | ||||
\(167\) | 3.84002 | + | 1.39765i | 0.297150 | + | 0.108154i | 0.486293 | − | 0.873796i | \(-0.338349\pi\) |
−0.189143 | + | 0.981950i | \(0.560571\pi\) | |||||||
\(168\) | −2.03209 | − | 1.70513i | −0.156779 | − | 0.131553i | ||||
\(169\) | −0.236482 | + | 1.34115i | −0.0181909 | + | 0.103166i | ||||
\(170\) | 4.22668 | 0.324172 | ||||||||
\(171\) | 2.77719 | + | 3.35965i | 0.212377 | + | 0.256919i | ||||
\(172\) | −11.3550 | −0.865813 | ||||||||
\(173\) | 2.09714 | − | 11.8935i | 0.159443 | − | 0.904246i | −0.795168 | − | 0.606389i | \(-0.792617\pi\) |
0.954611 | − | 0.297856i | \(-0.0962716\pi\) | |||||||
\(174\) | 2.75490 | + | 2.31164i | 0.208848 | + | 0.175245i | ||||
\(175\) | 2.49273 | + | 0.907278i | 0.188432 | + | 0.0685838i | ||||
\(176\) | −1.05303 | + | 0.383273i | −0.0793754 | + | 0.0288903i | ||||
\(177\) | −0.141559 | + | 0.118782i | −0.0106402 | + | 0.00892823i | ||||
\(178\) | 5.90033 | + | 10.2197i | 0.442248 | + | 0.765997i | ||||
\(179\) | 7.88713 | − | 13.6609i | 0.589511 | − | 1.02106i | −0.404785 | − | 0.914412i | \(-0.632654\pi\) |
0.994296 | − | 0.106652i | \(-0.0340130\pi\) | |||||||
\(180\) | −0.173648 | − | 0.984808i | −0.0129430 | − | 0.0734032i | ||||
\(181\) | −0.131292 | − | 0.744596i | −0.00975888 | − | 0.0553454i | 0.979539 | − | 0.201252i | \(-0.0645011\pi\) |
−0.989298 | + | 0.145907i | \(0.953390\pi\) | |||||||
\(182\) | 4.52481 | − | 7.83721i | 0.335402 | − | 0.580933i | ||||
\(183\) | 2.95084 | + | 5.11100i | 0.218132 | + | 0.377816i | ||||
\(184\) | −2.84730 | + | 2.38917i | −0.209905 | + | 0.176132i | ||||
\(185\) | −6.89053 | + | 2.50795i | −0.506602 | + | 0.184388i | ||||
\(186\) | −2.53936 | − | 0.924252i | −0.186195 | − | 0.0677695i | ||||
\(187\) | −3.62836 | − | 3.04455i | −0.265332 | − | 0.222640i | ||||
\(188\) | −1.11334 | + | 6.31407i | −0.0811987 | + | 0.460501i | ||||
\(189\) | −2.65270 | −0.192956 | ||||||||
\(190\) | −2.77719 | − | 3.35965i | −0.201478 | − | 0.243734i | ||||
\(191\) | 8.64590 | 0.625595 | 0.312798 | − | 0.949820i | \(-0.398734\pi\) | ||||
0.312798 | + | 0.949820i | \(0.398734\pi\) | |||||||
\(192\) | 0.173648 | − | 0.984808i | 0.0125320 | − | 0.0710724i | ||||
\(193\) | 5.84002 | + | 4.90036i | 0.420374 | + | 0.352736i | 0.828305 | − | 0.560277i | \(-0.189305\pi\) |
−0.407931 | + | 0.913013i | \(0.633750\pi\) | |||||||
\(194\) | −6.57785 | − | 2.39414i | −0.472262 | − | 0.171889i | ||||
\(195\) | 3.20574 | − | 1.16679i | 0.229568 | − | 0.0835558i | ||||
\(196\) | 0.0282185 | − | 0.0236781i | 0.00201561 | − | 0.00169129i | ||||
\(197\) | 3.03462 | + | 5.25611i | 0.216207 | + | 0.374482i | 0.953645 | − | 0.300933i | \(-0.0972979\pi\) |
−0.737438 | + | 0.675415i | \(0.763965\pi\) | |||||||
\(198\) | −0.560307 | + | 0.970481i | −0.0398193 | + | 0.0689691i | ||||
\(199\) | −3.67617 | − | 20.8486i | −0.260597 | − | 1.47792i | −0.781286 | − | 0.624173i | \(-0.785436\pi\) |
0.520689 | − | 0.853746i | \(-0.325675\pi\) | |||||||
\(200\) | 0.173648 | + | 0.984808i | 0.0122788 | + | 0.0696364i | ||||
\(201\) | −6.24763 | + | 10.8212i | −0.440674 | + | 0.763269i | ||||
\(202\) | 5.81908 | + | 10.0789i | 0.409429 | + | 0.709152i | ||||
\(203\) | −7.30793 | + | 6.13208i | −0.512916 | + | 0.430388i | ||||
\(204\) | 3.97178 | − | 1.44561i | 0.278080 | − | 0.101213i | ||||
\(205\) | −6.13816 | − | 2.23411i | −0.428707 | − | 0.156037i | ||||
\(206\) | −6.00387 | − | 5.03785i | −0.418309 | − | 0.351003i | ||||
\(207\) | −0.645430 | + | 3.66041i | −0.0448605 | + | 0.254416i | ||||
\(208\) | 3.41147 | 0.236543 | ||||||||
\(209\) | −0.0359593 | + | 4.88451i | −0.00248736 | + | 0.337869i | ||||
\(210\) | 2.65270 | 0.183054 | ||||||||
\(211\) | 0.423801 | − | 2.40349i | 0.0291756 | − | 0.165463i | −0.966739 | − | 0.255766i | \(-0.917672\pi\) |
0.995914 | + | 0.0903027i | \(0.0287835\pi\) | |||||||
\(212\) | 1.37551 | + | 1.15419i | 0.0944707 | + | 0.0792704i | ||||
\(213\) | −8.89053 | − | 3.23589i | −0.609169 | − | 0.221719i | ||||
\(214\) | −14.8550 | + | 5.40679i | −1.01547 | + | 0.369601i | ||||
\(215\) | 8.69846 | − | 7.29888i | 0.593230 | − | 0.497779i | ||||
\(216\) | −0.500000 | − | 0.866025i | −0.0340207 | − | 0.0589256i | ||||
\(217\) | 3.58424 | − | 6.20809i | 0.243314 | − | 0.421433i | ||||
\(218\) | 1.07011 | + | 6.06888i | 0.0724768 | + | 0.411037i | ||||
\(219\) | −1.15611 | − | 6.55661i | −0.0781225 | − | 0.443055i | ||||
\(220\) | 0.560307 | − | 0.970481i | 0.0377759 | − | 0.0654298i | ||||
\(221\) | 7.20961 | + | 12.4874i | 0.484971 | + | 0.839994i | ||||
\(222\) | −5.61721 | + | 4.71340i | −0.377003 | + | 0.316343i | ||||
\(223\) | 23.1643 | − | 8.43112i | 1.55120 | − | 0.564590i | 0.582499 | − | 0.812831i | \(-0.302075\pi\) |
0.968698 | + | 0.248242i | \(0.0798527\pi\) | |||||||
\(224\) | 2.49273 | + | 0.907278i | 0.166552 | + | 0.0606201i | ||||
\(225\) | 0.766044 | + | 0.642788i | 0.0510696 | + | 0.0428525i | ||||
\(226\) | −0.551689 | + | 3.12879i | −0.0366978 | + | 0.208124i | ||||
\(227\) | 11.5990 | 0.769850 | 0.384925 | − | 0.922948i | \(-0.374227\pi\) | ||||
0.384925 | + | 0.922948i | \(0.374227\pi\) | |||||||
\(228\) | −3.75877 | − | 2.20718i | −0.248931 | − | 0.146174i | ||||
\(229\) | −15.0915 | −0.997276 | −0.498638 | − | 0.866810i | \(-0.666166\pi\) | ||||
−0.498638 | + | 0.866810i | \(0.666166\pi\) | |||||||
\(230\) | 0.645430 | − | 3.66041i | 0.0425584 | − | 0.241361i | ||||
\(231\) | −2.27719 | − | 1.91079i | −0.149828 | − | 0.125721i | ||||
\(232\) | −3.37939 | − | 1.23000i | −0.221868 | − | 0.0807532i | ||||
\(233\) | 25.7246 | − | 9.36300i | 1.68528 | − | 0.613390i | 0.691258 | − | 0.722608i | \(-0.257057\pi\) |
0.994018 | + | 0.109218i | \(0.0348345\pi\) | |||||||
\(234\) | 2.61334 | − | 2.19285i | 0.170839 | − | 0.143351i | ||||
\(235\) | −3.20574 | − | 5.55250i | −0.209119 | − | 0.362205i | ||||
\(236\) | 0.0923963 | − | 0.160035i | 0.00601448 | − | 0.0104174i | ||||
\(237\) | −1.07398 | − | 6.09083i | −0.0697624 | − | 0.395642i | ||||
\(238\) | 1.94697 | + | 11.0418i | 0.126203 | + | 0.715733i | ||||
\(239\) | 12.3118 | − | 21.3247i | 0.796384 | − | 1.37938i | −0.125572 | − | 0.992085i | \(-0.540077\pi\) |
0.921956 | − | 0.387294i | \(-0.126590\pi\) | |||||||
\(240\) | 0.500000 | + | 0.866025i | 0.0322749 | + | 0.0559017i | ||||
\(241\) | −17.9231 | + | 15.0393i | −1.15453 | + | 0.968764i | −0.999816 | − | 0.0191961i | \(-0.993889\pi\) |
−0.154712 | + | 0.987960i | \(0.549445\pi\) | |||||||
\(242\) | 9.15657 | − | 3.33272i | 0.588607 | − | 0.214235i | ||||
\(243\) | −0.939693 | − | 0.342020i | −0.0602813 | − | 0.0219406i | ||||
\(244\) | −4.52094 | − | 3.79352i | −0.289424 | − | 0.242855i | ||||
\(245\) | −0.00639661 | + | 0.0362770i | −0.000408665 | + | 0.00231765i | ||||
\(246\) | −6.53209 | −0.416471 | ||||||||
\(247\) | 5.18866 | − | 13.9357i | 0.330147 | − | 0.886705i | ||||
\(248\) | 2.70233 | 0.171598 | ||||||||
\(249\) | 1.86571 | − | 10.5810i | 0.118235 | − | 0.670543i | ||||
\(250\) | −0.766044 | − | 0.642788i | −0.0484489 | − | 0.0406535i | ||||
\(251\) | −9.64930 | − | 3.51206i | −0.609058 | − | 0.221679i | 0.0190328 | − | 0.999819i | \(-0.493941\pi\) |
−0.628091 | + | 0.778140i | \(0.716164\pi\) | |||||||
\(252\) | 2.49273 | − | 0.907278i | 0.157027 | − | 0.0571531i | ||||
\(253\) | −3.19072 | + | 2.67733i | −0.200599 | + | 0.168323i | ||||
\(254\) | −5.89440 | − | 10.2094i | −0.369848 | − | 0.640595i | ||||
\(255\) | −2.11334 | + | 3.66041i | −0.132343 | + | 0.229224i | ||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | −0.0410117 | − | 0.232589i | −0.00255824 | − | 0.0145085i | 0.983502 | − | 0.180898i | \(-0.0579003\pi\) |
−0.986060 | + | 0.166389i | \(0.946789\pi\) | |||||||
\(258\) | 5.67752 | − | 9.83375i | 0.353467 | − | 0.612223i | ||||
\(259\) | −9.72580 | − | 16.8456i | −0.604332 | − | 1.04673i | ||||
\(260\) | −2.61334 | + | 2.19285i | −0.162073 | + | 0.135995i | ||||
\(261\) | −3.37939 | + | 1.23000i | −0.209179 | + | 0.0761348i | ||||
\(262\) | 17.0770 | + | 6.21551i | 1.05502 | + | 0.383995i | ||||
\(263\) | 2.09105 | + | 1.75460i | 0.128940 | + | 0.108193i | 0.704977 | − | 0.709230i | \(-0.250957\pi\) |
−0.576037 | + | 0.817423i | \(0.695402\pi\) | |||||||
\(264\) | 0.194593 | − | 1.10359i | 0.0119764 | − | 0.0679213i | ||||
\(265\) | −1.79561 | −0.110303 | ||||||||
\(266\) | 7.49747 | − | 8.80271i | 0.459700 | − | 0.539729i | ||||
\(267\) | −11.8007 | −0.722189 | ||||||||
\(268\) | 2.16978 | − | 12.3054i | 0.132540 | − | 0.751673i | ||||
\(269\) | 5.30406 | + | 4.45064i | 0.323394 | + | 0.271360i | 0.790002 | − | 0.613104i | \(-0.210079\pi\) |
−0.466608 | + | 0.884464i | \(0.654524\pi\) | |||||||
\(270\) | 0.939693 | + | 0.342020i | 0.0571879 | + | 0.0208147i | ||||
\(271\) | 22.3799 | − | 8.14560i | 1.35948 | − | 0.494810i | 0.443586 | − | 0.896232i | \(-0.353706\pi\) |
0.915893 | + | 0.401422i | \(0.131484\pi\) | |||||||
\(272\) | −3.23783 | + | 2.71686i | −0.196322 | + | 0.164734i | ||||
\(273\) | 4.52481 | + | 7.83721i | 0.273854 | + | 0.474329i | ||||
\(274\) | −6.80200 | + | 11.7814i | −0.410924 | + | 0.711741i | ||||
\(275\) | 0.194593 | + | 1.10359i | 0.0117344 | + | 0.0665490i | ||||
\(276\) | −0.645430 | − | 3.66041i | −0.0388503 | − | 0.220331i | ||||
\(277\) | 8.93882 | − | 15.4825i | 0.537081 | − | 0.930252i | −0.461978 | − | 0.886891i | \(-0.652860\pi\) |
0.999059 | − | 0.0433609i | \(-0.0138065\pi\) | |||||||
\(278\) | 4.40895 | + | 7.63652i | 0.264431 | + | 0.458008i | ||||
\(279\) | 2.07011 | − | 1.73703i | 0.123934 | − | 0.103993i | ||||
\(280\) | −2.49273 | + | 0.907278i | −0.148969 | + | 0.0542202i | ||||
\(281\) | −4.50000 | − | 1.63787i | −0.268447 | − | 0.0977069i | 0.204289 | − | 0.978911i | \(-0.434512\pi\) |
−0.472737 | + | 0.881204i | \(0.656734\pi\) | |||||||
\(282\) | −4.91147 | − | 4.12122i | −0.292474 | − | 0.245415i | ||||
\(283\) | −2.09193 | + | 11.8639i | −0.124352 | + | 0.705237i | 0.857338 | + | 0.514754i | \(0.172117\pi\) |
−0.981690 | + | 0.190483i | \(0.938995\pi\) | |||||||
\(284\) | 9.46110 | 0.561413 | ||||||||
\(285\) | 4.29813 | − | 0.725293i | 0.254599 | − | 0.0429626i | ||||
\(286\) | 3.82295 | 0.226056 | ||||||||
\(287\) | 3.00892 | − | 17.0644i | 0.177611 | − | 1.00728i | ||||
\(288\) | 0.766044 | + | 0.642788i | 0.0451396 | + | 0.0378766i | ||||
\(289\) | −0.812681 | − | 0.295792i | −0.0478048 | − | 0.0173995i | ||||
\(290\) | 3.37939 | − | 1.23000i | 0.198444 | − | 0.0722278i | ||||
\(291\) | 5.36231 | − | 4.49951i | 0.314344 | − | 0.263766i | ||||
\(292\) | 3.32888 | + | 5.76579i | 0.194808 | + | 0.337417i | ||||
\(293\) | 11.7208 | − | 20.3009i | 0.684734 | − | 1.18599i | −0.288787 | − | 0.957393i | \(-0.593252\pi\) |
0.973520 | − | 0.228600i | \(-0.0734148\pi\) | |||||||
\(294\) | 0.00639661 | + | 0.0362770i | 0.000373058 | + | 0.00211572i | ||||
\(295\) | 0.0320889 | + | 0.181985i | 0.00186829 | + | 0.0105956i | ||||
\(296\) | 3.66637 | − | 6.35035i | 0.213104 | − | 0.369106i | ||||
\(297\) | −0.560307 | − | 0.970481i | −0.0325123 | − | 0.0563130i | ||||
\(298\) | 3.13429 | − | 2.62998i | 0.181564 | − | 0.152351i | ||||
\(299\) | 11.9153 | − | 4.33683i | 0.689082 | − | 0.250805i | ||||
\(300\) | −0.939693 | − | 0.342020i | −0.0542532 | − | 0.0197465i | ||||
\(301\) | 23.0744 | + | 19.3618i | 1.32999 | + | 1.11599i | ||||
\(302\) | −3.09627 | + | 17.5598i | −0.178170 | + | 1.01045i | ||||
\(303\) | −11.6382 | −0.668595 | ||||||||
\(304\) | 4.28699 | + | 0.788496i | 0.245876 | + | 0.0452233i | ||||
\(305\) | 5.90167 | 0.337929 | ||||||||
\(306\) | −0.733956 | + | 4.16247i | −0.0419574 | + | 0.237953i | ||||
\(307\) | −2.30999 | − | 1.93831i | −0.131838 | − | 0.110625i | 0.574484 | − | 0.818516i | \(-0.305203\pi\) |
−0.706322 | + | 0.707890i | \(0.749647\pi\) | |||||||
\(308\) | 2.79339 | + | 1.01671i | 0.159168 | + | 0.0579324i | ||||
\(309\) | 7.36484 | − | 2.68058i | 0.418971 | − | 0.152493i | ||||
\(310\) | −2.07011 | + | 1.73703i | −0.117574 | + | 0.0986565i | ||||
\(311\) | 9.31567 | + | 16.1352i | 0.528243 | + | 0.914944i | 0.999458 | + | 0.0329257i | \(0.0104825\pi\) |
−0.471214 | + | 0.882019i | \(0.656184\pi\) | |||||||
\(312\) | −1.70574 | + | 2.95442i | −0.0965683 | + | 0.167261i | ||||
\(313\) | 1.20620 | + | 6.84072i | 0.0681787 | + | 0.386660i | 0.999734 | + | 0.0230610i | \(0.00734120\pi\) |
−0.931555 | + | 0.363599i | \(0.881548\pi\) | |||||||
\(314\) | 1.74463 | + | 9.89431i | 0.0984553 | + | 0.558368i | ||||
\(315\) | −1.32635 | + | 2.29731i | −0.0747315 | + | 0.129439i | ||||
\(316\) | 3.09240 | + | 5.35619i | 0.173961 | + | 0.301309i | ||||
\(317\) | 1.69253 | − | 1.42020i | 0.0950621 | − | 0.0797666i | −0.594018 | − | 0.804452i | \(-0.702459\pi\) |
0.689080 | + | 0.724685i | \(0.258015\pi\) | |||||||
\(318\) | −1.68732 | + | 0.614134i | −0.0946201 | + | 0.0344389i | ||||
\(319\) | −3.78699 | − | 1.37835i | −0.212031 | − | 0.0771729i | ||||
\(320\) | −0.766044 | − | 0.642788i | −0.0428232 | − | 0.0359329i | ||||
\(321\) | 2.74510 | − | 15.5682i | 0.153217 | − | 0.868934i | ||||
\(322\) | 9.85978 | 0.549464 | ||||||||
\(323\) | 6.17365 | + | 17.3585i | 0.343511 | + | 0.965854i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | 0.592396 | − | 3.35965i | 0.0328602 | − | 0.186360i | ||||
\(326\) | −0.543233 | − | 0.455827i | −0.0300869 | − | 0.0252459i | ||||
\(327\) | −5.79086 | − | 2.10770i | −0.320235 | − | 0.116556i | ||||
\(328\) | 6.13816 | − | 2.23411i | 0.338923 | − | 0.123358i | ||||
\(329\) | 13.0287 | − | 10.9324i | 0.718295 | − | 0.602721i | ||||
\(330\) | 0.560307 | + | 0.970481i | 0.0308439 | + | 0.0534232i | ||||
\(331\) | 14.5694 | − | 25.2349i | 0.800806 | − | 1.38704i | −0.118280 | − | 0.992980i | \(-0.537738\pi\) |
0.919086 | − | 0.394057i | \(-0.128929\pi\) | |||||||
\(332\) | 1.86571 | + | 10.5810i | 0.102394 | + | 0.580707i | ||||
\(333\) | −1.27332 | − | 7.22135i | −0.0697774 | − | 0.395727i | ||||
\(334\) | 2.04323 | − | 3.53898i | 0.111801 | − | 0.193645i | ||||
\(335\) | 6.24763 | + | 10.8212i | 0.341344 | + | 0.591226i | ||||
\(336\) | −2.03209 | + | 1.70513i | −0.110860 | + | 0.0930222i | ||||
\(337\) | −19.5672 | + | 7.12187i | −1.06589 | + | 0.387953i | −0.814639 | − | 0.579969i | \(-0.803065\pi\) |
−0.251253 | + | 0.967921i | \(0.580843\pi\) | |||||||
\(338\) | 1.27972 | + | 0.465778i | 0.0696073 | + | 0.0253350i | ||||
\(339\) | −2.43376 | − | 2.04217i | −0.132184 | − | 0.110915i | ||||
\(340\) | 0.733956 | − | 4.16247i | 0.0398043 | − | 0.225742i | ||||
\(341\) | 3.02827 | 0.163990 | ||||||||
\(342\) | 3.79086 | − | 2.15160i | 0.204986 | − | 0.116345i | ||||
\(343\) | 18.4712 | 0.997352 | ||||||||
\(344\) | −1.97178 | + | 11.1825i | −0.106311 | + | 0.602922i | ||||
\(345\) | 2.84730 | + | 2.38917i | 0.153293 | + | 0.128628i | ||||
\(346\) | −11.3486 | − | 4.13057i | −0.610107 | − | 0.222061i | ||||
\(347\) | −28.1377 | + | 10.2413i | −1.51051 | + | 0.549782i | −0.958758 | − | 0.284224i | \(-0.908264\pi\) |
−0.551755 | + | 0.834006i | \(0.686042\pi\) | |||||||
\(348\) | 2.75490 | − | 2.31164i | 0.147678 | − | 0.123917i | ||||
\(349\) | −11.0437 | − | 19.1282i | −0.591156 | − | 1.02391i | −0.994077 | − | 0.108677i | \(-0.965339\pi\) |
0.402921 | − | 0.915235i | \(-0.367995\pi\) | |||||||
\(350\) | 1.32635 | − | 2.29731i | 0.0708965 | − | 0.122796i | ||||
\(351\) | 0.592396 | + | 3.35965i | 0.0316198 | + | 0.179325i | ||||
\(352\) | 0.194593 | + | 1.10359i | 0.0103718 | + | 0.0588216i | ||||
\(353\) | −1.90167 | + | 3.29380i | −0.101216 | + | 0.175311i | −0.912186 | − | 0.409777i | \(-0.865607\pi\) |
0.810970 | + | 0.585088i | \(0.198940\pi\) | |||||||
\(354\) | 0.0923963 | + | 0.160035i | 0.00491081 | + | 0.00850577i | ||||
\(355\) | −7.24763 | + | 6.08148i | −0.384664 | + | 0.322771i | ||||
\(356\) | 11.0890 | − | 4.03606i | 0.587715 | − | 0.213911i | ||||
\(357\) | −10.5360 | − | 3.83478i | −0.557622 | − | 0.202958i | ||||
\(358\) | −12.0838 | − | 10.1395i | −0.638648 | − | 0.535889i | ||||
\(359\) | −2.99407 | + | 16.9802i | −0.158021 | + | 0.896182i | 0.797951 | + | 0.602723i | \(0.205917\pi\) |
−0.955972 | + | 0.293459i | \(0.905194\pi\) | |||||||
\(360\) | −1.00000 | −0.0527046 | ||||||||
\(361\) | 9.74123 | − | 16.3128i | 0.512696 | − | 0.858570i | ||||
\(362\) | −0.756082 | −0.0397388 | ||||||||
\(363\) | −1.69207 | + | 9.59619i | −0.0888105 | + | 0.503669i | ||||
\(364\) | −6.93242 | − | 5.81699i | −0.363357 | − | 0.304893i | ||||
\(365\) | −6.25624 | − | 2.27709i | −0.327467 | − | 0.119188i | ||||
\(366\) | 5.54576 | − | 2.01849i | 0.289881 | − | 0.105508i | ||||
\(367\) | 26.0560 | − | 21.8636i | 1.36011 | − | 1.14127i | 0.384166 | − | 0.923264i | \(-0.374489\pi\) |
0.975947 | − | 0.218007i | \(-0.0699555\pi\) | |||||||
\(368\) | 1.85844 | + | 3.21891i | 0.0968779 | + | 0.167797i | ||||
\(369\) | 3.26604 | − | 5.65695i | 0.170023 | − | 0.294489i | ||||
\(370\) | 1.27332 | + | 7.22135i | 0.0661967 | + | 0.375420i | ||||
\(371\) | −0.827123 | − | 4.69085i | −0.0429421 | − | 0.243537i | ||||
\(372\) | −1.35117 | + | 2.34029i | −0.0700547 | + | 0.121338i | ||||
\(373\) | −13.7567 | − | 23.8273i | −0.712296 | − | 1.23373i | −0.963993 | − | 0.265926i | \(-0.914322\pi\) |
0.251698 | − | 0.967806i | \(-0.419011\pi\) | |||||||
\(374\) | −3.62836 | + | 3.04455i | −0.187618 | + | 0.157430i | ||||
\(375\) | 0.939693 | − | 0.342020i | 0.0485255 | − | 0.0176618i | ||||
\(376\) | 6.02481 | + | 2.19285i | 0.310706 | + | 0.113088i | ||||
\(377\) | 9.39827 | + | 7.88609i | 0.484036 | + | 0.406154i | ||||
\(378\) | −0.460637 | + | 2.61240i | −0.0236926 | + | 0.134368i | ||||
\(379\) | −20.8057 | −1.06872 | −0.534359 | − | 0.845258i | \(-0.679447\pi\) | ||||
−0.534359 | + | 0.845258i | \(0.679447\pi\) | |||||||
\(380\) | −3.79086 | + | 2.15160i | −0.194467 | + | 0.110375i | ||||
\(381\) | 11.7888 | 0.603959 | ||||||||
\(382\) | 1.50134 | − | 8.51455i | 0.0768155 | − | 0.435642i | ||||
\(383\) | −22.3837 | − | 18.7822i | −1.14375 | − | 0.959724i | −0.144200 | − | 0.989549i | \(-0.546061\pi\) |
−0.999555 | + | 0.0298244i | \(0.990505\pi\) | |||||||
\(384\) | −0.939693 | − | 0.342020i | −0.0479535 | − | 0.0174536i | ||||
\(385\) | −2.79339 | + | 1.01671i | −0.142364 | + | 0.0518163i | ||||
\(386\) | 5.84002 | − | 4.90036i | 0.297249 | − | 0.249422i | ||||
\(387\) | 5.67752 | + | 9.83375i | 0.288604 | + | 0.499878i | ||||
\(388\) | −3.50000 | + | 6.06218i | −0.177686 | + | 0.307760i | ||||
\(389\) | 4.81268 | + | 27.2941i | 0.244013 | + | 1.38386i | 0.822775 | + | 0.568368i | \(0.192425\pi\) |
−0.578762 | + | 0.815497i | \(0.696464\pi\) | |||||||
\(390\) | −0.592396 | − | 3.35965i | −0.0299972 | − | 0.170122i | ||||
\(391\) | −7.85504 | + | 13.6053i | −0.397246 | + | 0.688051i | ||||
\(392\) | −0.0184183 | − | 0.0319015i | −0.000930265 | − | 0.00161127i | ||||
\(393\) | −13.9213 | + | 11.6813i | −0.702235 | + | 0.589245i | ||||
\(394\) | 5.70321 | − | 2.07580i | 0.287324 | − | 0.104577i | ||||
\(395\) | −5.81180 | − | 2.11532i | −0.292424 | − | 0.106433i | ||||
\(396\) | 0.858441 | + | 0.720317i | 0.0431383 | + | 0.0361973i | ||||
\(397\) | −3.67799 | + | 20.8589i | −0.184593 | + | 1.04688i | 0.741885 | + | 0.670528i | \(0.233932\pi\) |
−0.926477 | + | 0.376350i | \(0.877179\pi\) | |||||||
\(398\) | −21.1702 | −1.06117 | ||||||||
\(399\) | 3.87464 | + | 10.8944i | 0.193974 | + | 0.545400i | ||||
\(400\) | 1.00000 | 0.0500000 | ||||||||
\(401\) | −1.68257 | + | 9.54233i | −0.0840236 | + | 0.476521i | 0.913539 | + | 0.406750i | \(0.133338\pi\) |
−0.997563 | + | 0.0697713i | \(0.977773\pi\) | |||||||
\(402\) | 9.57192 | + | 8.03179i | 0.477404 | + | 0.400589i | ||||
\(403\) | −8.66297 | − | 3.15306i | −0.431533 | − | 0.157065i | ||||
\(404\) | 10.9363 | − | 3.98048i | 0.544101 | − | 0.198036i | ||||
\(405\) | −0.766044 | + | 0.642788i | −0.0380651 | + | 0.0319404i | ||||
\(406\) | 4.76991 | + | 8.26173i | 0.236727 | + | 0.410023i | ||||
\(407\) | 4.10859 | − | 7.11629i | 0.203655 | − | 0.352741i | ||||
\(408\) | −0.733956 | − | 4.16247i | −0.0363362 | − | 0.206073i | ||||
\(409\) | 5.64038 | + | 31.9882i | 0.278899 | + | 1.58171i | 0.726299 | + | 0.687379i | \(0.241239\pi\) |
−0.447400 | + | 0.894334i | \(0.647650\pi\) | |||||||
\(410\) | −3.26604 | + | 5.65695i | −0.161298 | + | 0.279377i | ||||
\(411\) | −6.80200 | − | 11.7814i | −0.335518 | − | 0.581134i | ||||
\(412\) | −6.00387 | + | 5.03785i | −0.295789 | + | 0.248197i | ||||
\(413\) | −0.460637 | + | 0.167658i | −0.0226665 | + | 0.00824992i | ||||
\(414\) | 3.49273 | + | 1.27125i | 0.171658 | + | 0.0624784i | ||||
\(415\) | −8.23055 | − | 6.90625i | −0.404022 | − | 0.339015i | ||||
\(416\) | 0.592396 | − | 3.35965i | 0.0290446 | − | 0.164720i | ||||
\(417\) | −8.81790 | −0.431814 | ||||||||
\(418\) | 4.80406 | + | 0.883600i | 0.234974 | + | 0.0432183i | ||||
\(419\) | −0.909415 | −0.0444278 | −0.0222139 | − | 0.999753i | \(-0.507071\pi\) | ||||
−0.0222139 | + | 0.999753i | \(0.507071\pi\) | |||||||
\(420\) | 0.460637 | − | 2.61240i | 0.0224768 | − | 0.127472i | ||||
\(421\) | 5.52481 | + | 4.63587i | 0.269263 | + | 0.225938i | 0.767414 | − | 0.641152i | \(-0.221543\pi\) |
−0.498151 | + | 0.867090i | \(0.665988\pi\) | |||||||
\(422\) | −2.29339 | − | 0.834724i | −0.111640 | − | 0.0406337i | ||||
\(423\) | 6.02481 | − | 2.19285i | 0.292937 | − | 0.106620i | ||||
\(424\) | 1.37551 | − | 1.15419i | 0.0668009 | − | 0.0560526i | ||||
\(425\) | 2.11334 | + | 3.66041i | 0.102512 | + | 0.177556i | ||||
\(426\) | −4.73055 | + | 8.19356i | −0.229196 | + | 0.396979i | ||||
\(427\) | 2.71853 | + | 15.4176i | 0.131559 | + | 0.746108i | ||||
\(428\) | 2.74510 | + | 15.5682i | 0.132689 | + | 0.752519i | ||||
\(429\) | −1.91147 | + | 3.31077i | −0.0922868 | + | 0.159845i | ||||
\(430\) | −5.67752 | − | 9.83375i | −0.273794 | − | 0.474226i | ||||
\(431\) | −5.41147 | + | 4.54077i | −0.260662 | + | 0.218721i | −0.763747 | − | 0.645516i | \(-0.776643\pi\) |
0.503086 | + | 0.864237i | \(0.332198\pi\) | |||||||
\(432\) | −0.939693 | + | 0.342020i | −0.0452110 | + | 0.0164555i | ||||
\(433\) | 15.4315 | + | 5.61662i | 0.741593 | + | 0.269918i | 0.685064 | − | 0.728483i | \(-0.259774\pi\) |
0.0565290 | + | 0.998401i | \(0.481997\pi\) | |||||||
\(434\) | −5.49138 | − | 4.60782i | −0.263595 | − | 0.221182i | ||||
\(435\) | −0.624485 | + | 3.54163i | −0.0299418 | + | 0.169808i | ||||
\(436\) | 6.16250 | 0.295130 | ||||||||
\(437\) | 15.9757 | − | 2.69583i | 0.764219 | − | 0.128959i | ||||
\(438\) | −6.65776 | −0.318120 | ||||||||
\(439\) | 5.15539 | − | 29.2377i | 0.246053 | − | 1.39544i | −0.571980 | − | 0.820268i | \(-0.693824\pi\) |
0.818033 | − | 0.575171i | \(-0.195064\pi\) | |||||||
\(440\) | −0.858441 | − | 0.720317i | −0.0409246 | − | 0.0343398i | ||||
\(441\) | −0.0346151 | − | 0.0125989i | −0.00164834 | − | 0.000599946i | ||||
\(442\) | 13.5496 | − | 4.93166i | 0.644490 | − | 0.234575i | ||||
\(443\) | −7.18938 | + | 6.03260i | −0.341578 | + | 0.286618i | −0.797398 | − | 0.603454i | \(-0.793791\pi\) |
0.455820 | + | 0.890072i | \(0.349346\pi\) | |||||||
\(444\) | 3.66637 | + | 6.35035i | 0.173998 | + | 0.301374i | ||||
\(445\) | −5.90033 | + | 10.2197i | −0.279702 | + | 0.484459i | ||||
\(446\) | −4.28059 | − | 24.2764i | −0.202692 | − | 1.14952i | ||||
\(447\) | 0.710485 | + | 4.02936i | 0.0336048 | + | 0.190582i | ||||
\(448\) | 1.32635 | − | 2.29731i | 0.0626642 | − | 0.108538i | ||||
\(449\) | 11.3439 | + | 19.6482i | 0.535351 | + | 0.927256i | 0.999146 | + | 0.0413132i | \(0.0131541\pi\) |
−0.463795 | + | 0.885943i | \(0.653513\pi\) | |||||||
\(450\) | 0.766044 | − | 0.642788i | 0.0361117 | − | 0.0303013i | ||||
\(451\) | 6.87851 | − | 2.50357i | 0.323896 | − | 0.117889i | ||||
\(452\) | 2.98545 | + | 1.08662i | 0.140424 | + | 0.0511101i | ||||
\(453\) | −13.6591 | − | 11.4613i | −0.641761 | − | 0.538501i | ||||
\(454\) | 2.01414 | − | 11.4227i | 0.0945282 | − | 0.536096i | ||||
\(455\) | 9.04963 | 0.424253 | ||||||||
\(456\) | −2.82635 | + | 3.31839i | −0.132356 | + | 0.155398i | ||||
\(457\) | −18.5449 | −0.867493 | −0.433746 | − | 0.901035i | \(-0.642809\pi\) | ||||
−0.433746 | + | 0.901035i | \(0.642809\pi\) | |||||||
\(458\) | −2.62061 | + | 14.8622i | −0.122453 | + | 0.694467i | ||||
\(459\) | −3.23783 | − | 2.71686i | −0.151129 | − | 0.126812i | ||||
\(460\) | −3.49273 | − | 1.27125i | −0.162849 | − | 0.0592723i | ||||
\(461\) | −5.33915 | + | 1.94329i | −0.248669 | + | 0.0905080i | −0.463347 | − | 0.886177i | \(-0.653352\pi\) |
0.214679 | + | 0.976685i | \(0.431130\pi\) | |||||||
\(462\) | −2.27719 | + | 1.91079i | −0.105944 | + | 0.0888979i | ||||
\(463\) | 19.3148 | + | 33.4542i | 0.897635 | + | 1.55475i | 0.830510 | + | 0.557004i | \(0.188049\pi\) |
0.0671252 | + | 0.997745i | \(0.478617\pi\) | |||||||
\(464\) | −1.79813 | + | 3.11446i | −0.0834762 | + | 0.144585i | ||||
\(465\) | −0.469255 | − | 2.66128i | −0.0217612 | − | 0.123414i | ||||
\(466\) | −4.75372 | − | 26.9597i | −0.220212 | − | 1.24888i | ||||
\(467\) | −3.59761 | + | 6.23124i | −0.166478 | + | 0.288348i | −0.937179 | − | 0.348849i | \(-0.886573\pi\) |
0.770701 | + | 0.637196i | \(0.219906\pi\) | |||||||
\(468\) | −1.70574 | − | 2.95442i | −0.0788477 | − | 0.136568i | ||||
\(469\) | −25.3915 | + | 21.3060i | −1.17247 | + | 0.983818i | ||||
\(470\) | −6.02481 | + | 2.19285i | −0.277904 | + | 0.101149i | ||||
\(471\) | −9.44104 | − | 3.43626i | −0.435020 | − | 0.158334i | ||||
\(472\) | −0.141559 | − | 0.118782i | −0.00651579 | − | 0.00546740i | ||||
\(473\) | −2.20961 | + | 12.5313i | −0.101598 | + | 0.576190i | ||||
\(474\) | −6.18479 | −0.284077 | ||||||||
\(475\) | 1.52094 | − | 4.08494i | 0.0697857 | − | 0.187430i | ||||
\(476\) | 11.2121 | 0.513907 | ||||||||
\(477\) | 0.311804 | − | 1.76833i | 0.0142765 | − | 0.0809662i | ||||
\(478\) | −18.8628 | − | 15.8278i | −0.862763 | − | 0.723944i | ||||
\(479\) | −7.72416 | − | 2.81136i | −0.352926 | − | 0.128454i | 0.159473 | − | 0.987202i | \(-0.449021\pi\) |
−0.512398 | + | 0.858748i | \(0.671243\pi\) | |||||||
\(480\) | 0.939693 | − | 0.342020i | 0.0428909 | − | 0.0156110i | ||||
\(481\) | −19.1630 | + | 16.0796i | −0.873756 | + | 0.733169i | ||||
\(482\) | 11.6985 | + | 20.2623i | 0.532850 | + | 0.922924i | ||||
\(483\) | −4.92989 | + | 8.53882i | −0.224318 | + | 0.388530i | ||||
\(484\) | −1.69207 | − | 9.59619i | −0.0769121 | − | 0.436190i | ||||
\(485\) | −1.21554 | − | 6.89365i | −0.0551947 | − | 0.313025i | ||||
\(486\) | −0.500000 | + | 0.866025i | −0.0226805 | + | 0.0392837i | ||||
\(487\) | −8.59879 | − | 14.8935i | −0.389648 | − | 0.674891i | 0.602754 | − | 0.797927i | \(-0.294070\pi\) |
−0.992402 | + | 0.123036i | \(0.960737\pi\) | |||||||
\(488\) | −4.52094 | + | 3.79352i | −0.204654 | + | 0.171725i | ||||
\(489\) | 0.666374 | − | 0.242540i | 0.0301345 | − | 0.0109681i | ||||
\(490\) | 0.0346151 | + | 0.0125989i | 0.00156375 | + | 0.000569159i | ||||
\(491\) | 18.2515 | + | 15.3148i | 0.823679 | + | 0.691148i | 0.953830 | − | 0.300346i | \(-0.0971021\pi\) |
−0.130152 | + | 0.991494i | \(0.541546\pi\) | |||||||
\(492\) | −1.13429 | + | 6.43285i | −0.0511375 | + | 0.290015i | ||||
\(493\) | −15.2003 | −0.684586 | ||||||||
\(494\) | −12.8229 | − | 7.52974i | −0.576932 | − | 0.338779i | ||||
\(495\) | −1.12061 | −0.0503679 | ||||||||
\(496\) | 0.469255 | − | 2.66128i | 0.0210702 | − | 0.119495i | ||||
\(497\) | −19.2258 | − | 16.1324i | −0.862395 | − | 0.723635i | ||||
\(498\) | −10.0963 | − | 3.67474i | −0.452425 | − | 0.164669i | ||||
\(499\) | −6.57532 | + | 2.39322i | −0.294352 | + | 0.107135i | −0.484975 | − | 0.874528i | \(-0.661171\pi\) |
0.190623 | + | 0.981663i | \(0.438949\pi\) | |||||||
\(500\) | −0.766044 | + | 0.642788i | −0.0342585 | + | 0.0287463i | ||||
\(501\) | 2.04323 | + | 3.53898i | 0.0912849 | + | 0.158110i | ||||
\(502\) | −5.13429 | + | 8.89284i | −0.229154 | + | 0.396907i | ||||
\(503\) | 0.525225 | + | 2.97870i | 0.0234186 | + | 0.132814i | 0.994276 | − | 0.106846i | \(-0.0340752\pi\) |
−0.970857 | + | 0.239660i | \(0.922964\pi\) | |||||||
\(504\) | −0.460637 | − | 2.61240i | −0.0205184 | − | 0.116366i | ||||
\(505\) | −5.81908 | + | 10.0789i | −0.258946 | + | 0.448507i | ||||
\(506\) | 2.08260 | + | 3.60716i | 0.0925827 | + | 0.160358i | ||||
\(507\) | −1.04323 | + | 0.875377i | −0.0463316 | + | 0.0388768i | ||||
\(508\) | −11.0778 | + | 4.03201i | −0.491500 | + | 0.178891i | ||||
\(509\) | 26.3901 | + | 9.60522i | 1.16972 | + | 0.425744i | 0.852561 | − | 0.522628i | \(-0.175048\pi\) |
0.317161 | + | 0.948372i | \(0.397271\pi\) | |||||||
\(510\) | 3.23783 | + | 2.71686i | 0.143373 | + | 0.120305i | ||||
\(511\) | 3.06681 | − | 17.3927i | 0.135668 | − | 0.769410i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −0.0320889 | + | 4.35878i | −0.00141676 | + | 0.192445i | ||||
\(514\) | −0.236177 | −0.0104173 | ||||||||
\(515\) | 1.36097 | − | 7.71843i | 0.0599714 | − | 0.340115i | ||||
\(516\) | −8.69846 | − | 7.29888i | −0.382928 | − | 0.321315i | ||||
\(517\) | 6.75150 | + | 2.45734i | 0.296930 | + | 0.108074i | ||||
\(518\) | −18.2785 | + | 6.65284i | −0.803113 | + | 0.292309i | ||||
\(519\) | 9.25150 | − | 7.76293i | 0.406096 | − | 0.340755i | ||||
\(520\) | 1.70574 | + | 2.95442i | 0.0748015 | + | 0.129560i | ||||
\(521\) | 10.1108 | − | 17.5124i | 0.442963 | − | 0.767234i | −0.554945 | − | 0.831887i | \(-0.687261\pi\) |
0.997908 | + | 0.0646529i | \(0.0205940\pi\) | |||||||
\(522\) | 0.624485 | + | 3.54163i | 0.0273330 | + | 0.155013i | ||||
\(523\) | 5.88367 | + | 33.3679i | 0.257275 | + | 1.45908i | 0.790165 | + | 0.612894i | \(0.209995\pi\) |
−0.532891 | + | 0.846184i | \(0.678894\pi\) | |||||||
\(524\) | 9.08647 | − | 15.7382i | 0.396944 | − | 0.687527i | ||||
\(525\) | 1.32635 | + | 2.29731i | 0.0578867 | + | 0.100263i | ||||
\(526\) | 2.09105 | − | 1.75460i | 0.0911742 | − | 0.0765042i | ||||
\(527\) | 10.7331 | − | 3.90652i | 0.467540 | − | 0.170171i | ||||
\(528\) | −1.05303 | − | 0.383273i | −0.0458274 | − | 0.0166798i | ||||
\(529\) | −7.03596 | − | 5.90387i | −0.305911 | − | 0.256690i | ||||
\(530\) | −0.311804 | + | 1.76833i | −0.0135439 | + | 0.0768113i | ||||
\(531\) | −0.184793 | −0.00801931 | ||||||||
\(532\) | −7.36706 | − | 8.91215i | −0.319403 | − | 0.386391i | ||||
\(533\) | −22.2841 | −0.965229 | ||||||||
\(534\) | −2.04916 | + | 11.6214i | −0.0886760 | + | 0.502906i | ||||
\(535\) | −12.1099 | − | 10.1614i | −0.523558 | − | 0.439318i | ||||
\(536\) | −11.7417 | − | 4.27363i | −0.507164 | − | 0.184593i | ||||
\(537\) | 14.8229 | − | 5.39511i | 0.639657 | − | 0.232816i | ||||
\(538\) | 5.30406 | − | 4.45064i | 0.228674 | − | 0.191881i | ||||
\(539\) | −0.0206398 | − | 0.0357492i | −0.000889021 | − | 0.00153983i | ||||
\(540\) | 0.500000 | − | 0.866025i | 0.0215166 | − | 0.0372678i | ||||
\(541\) | −1.16978 | − | 6.63414i | −0.0502927 | − | 0.285224i | 0.949281 | − | 0.314430i | \(-0.101813\pi\) |
−0.999573 | + | 0.0292058i | \(0.990702\pi\) | |||||||
\(542\) | −4.13563 | − | 23.4543i | −0.177640 | − | 1.00745i | ||||
\(543\) | 0.378041 | − | 0.654786i | 0.0162233 | − | 0.0280996i | ||||
\(544\) | 2.11334 | + | 3.66041i | 0.0906087 | + | 0.156939i | ||||
\(545\) | −4.72075 | + | 3.96118i | −0.202215 | + | 0.169678i | ||||
\(546\) | 8.50387 | − | 3.09516i | 0.363932 | − | 0.132460i | ||||
\(547\) | −3.49912 | − | 1.27358i | −0.149612 | − | 0.0544542i | 0.266129 | − | 0.963937i | \(-0.414255\pi\) |
−0.415741 | + | 0.909483i | \(0.636478\pi\) | |||||||
\(548\) | 10.4213 | + | 8.74449i | 0.445175 | + | 0.373546i | ||||
\(549\) | −1.02481 | + | 5.81201i | −0.0437380 | + | 0.248051i | ||||
\(550\) | 1.12061 | 0.0477832 | ||||||||
\(551\) | 9.98751 | + | 12.0822i | 0.425482 | + | 0.514718i | ||||
\(552\) | −3.71688 | −0.158201 | ||||||||
\(553\) | 2.84895 | − | 16.1572i | 0.121149 | − | 0.687073i | ||||
\(554\) | −13.6951 | − | 11.4915i | −0.581847 | − | 0.488228i | ||||
\(555\) | −6.89053 | − | 2.50795i | −0.292487 | − | 0.106456i | ||||
\(556\) | 8.28611 | − | 3.01590i | 0.351409 | − | 0.127903i | ||||
\(557\) | 2.46585 | − | 2.06910i | 0.104481 | − | 0.0876704i | −0.589050 | − | 0.808096i | \(-0.700498\pi\) |
0.693532 | + | 0.720426i | \(0.256054\pi\) | |||||||
\(558\) | −1.35117 | − | 2.34029i | −0.0571994 | − | 0.0990724i | ||||
\(559\) | 19.3687 | − | 33.5476i | 0.819209 | − | 1.41891i | ||||
\(560\) | 0.460637 | + | 2.61240i | 0.0194655 | + | 0.110394i | ||||
\(561\) | −0.822481 | − | 4.66452i | −0.0347252 | − | 0.196936i | ||||
\(562\) | −2.39440 | + | 4.14722i | −0.101002 | + | 0.174940i | ||||
\(563\) | 16.0813 | + | 27.8535i | 0.677744 | + | 1.17389i | 0.975659 | + | 0.219294i | \(0.0703755\pi\) |
−0.297915 | + | 0.954592i | \(0.596291\pi\) | |||||||
\(564\) | −4.91147 | + | 4.12122i | −0.206810 | + | 0.173535i | ||||
\(565\) | −2.98545 | + | 1.08662i | −0.125599 | + | 0.0457143i | ||||
\(566\) | 11.3204 | + | 4.12030i | 0.475833 | + | 0.173189i | ||||
\(567\) | −2.03209 | − | 1.70513i | −0.0853397 | − | 0.0716085i | ||||
\(568\) | 1.64290 | − | 9.31737i | 0.0689347 | − | 0.390948i | ||||
\(569\) | −10.2713 | −0.430594 | −0.215297 | − | 0.976549i | \(-0.569072\pi\) | ||||
−0.215297 | + | 0.976549i | \(0.569072\pi\) | |||||||
\(570\) | 0.0320889 | − | 4.35878i | 0.00134406 | − | 0.182569i | ||||
\(571\) | −3.38144 | −0.141509 | −0.0707545 | − | 0.997494i | \(-0.522541\pi\) | ||||
−0.0707545 | + | 0.997494i | \(0.522541\pi\) | |||||||
\(572\) | 0.663848 | − | 3.76487i | 0.0277569 | − | 0.157417i | ||||
\(573\) | 6.62314 | + | 5.55748i | 0.276686 | + | 0.232167i | ||||
\(574\) | −16.2827 | − | 5.92642i | −0.679627 | − | 0.247364i | ||||
\(575\) | 3.49273 | − | 1.27125i | 0.145657 | − | 0.0530147i | ||||
\(576\) | 0.766044 | − | 0.642788i | 0.0319185 | − | 0.0267828i | ||||
\(577\) | 10.5680 | + | 18.3044i | 0.439954 | + | 0.762022i | 0.997685 | − | 0.0679993i | \(-0.0216616\pi\) |
−0.557732 | + | 0.830021i | \(0.688328\pi\) | |||||||
\(578\) | −0.432419 | + | 0.748971i | −0.0179862 | + | 0.0311531i | ||||
\(579\) | 1.32383 | + | 7.50779i | 0.0550163 | + | 0.312013i | ||||
\(580\) | −0.624485 | − | 3.54163i | −0.0259303 | − | 0.147058i | ||||
\(581\) | 14.2506 | − | 24.6828i | 0.591215 | − | 1.02401i | ||||
\(582\) | −3.50000 | − | 6.06218i | −0.145080 | − | 0.251285i | ||||
\(583\) | 1.54142 | − | 1.29341i | 0.0638392 | − | 0.0535674i | ||||
\(584\) | 6.25624 | − | 2.27709i | 0.258885 | − | 0.0942265i | ||||
\(585\) | 3.20574 | + | 1.16679i | 0.132541 | + | 0.0482409i | ||||
\(586\) | −17.9572 | − | 15.0679i | −0.741806 | − | 0.622450i | ||||
\(587\) | 2.44000 | − | 13.8379i | 0.100709 | − | 0.571152i | −0.892138 | − | 0.451763i | \(-0.850795\pi\) |
0.992848 | − | 0.119389i | \(-0.0380936\pi\) | |||||||
\(588\) | 0.0368366 | 0.00151912 | ||||||||
\(589\) | −10.1575 | − | 5.96454i | −0.418530 | − | 0.245764i | ||||
\(590\) | 0.184793 | 0.00760779 | ||||||||
\(591\) | −1.05391 | + | 5.97702i | −0.0433521 | + | 0.245862i | ||||
\(592\) | −5.61721 | − | 4.71340i | −0.230866 | − | 0.193720i | ||||
\(593\) | −30.2396 | − | 11.0063i | −1.24179 | − | 0.451976i | −0.364172 | − | 0.931332i | \(-0.618648\pi\) |
−0.877621 | + | 0.479356i | \(0.840870\pi\) | |||||||
\(594\) | −1.05303 | + | 0.383273i | −0.0432065 | + | 0.0157259i | ||||
\(595\) | −8.58899 | + | 7.20702i | −0.352114 | + | 0.295459i | ||||
\(596\) | −2.04576 | − | 3.54336i | −0.0837976 | − | 0.145142i | ||||
\(597\) | 10.5851 | − | 18.3340i | 0.433220 | − | 0.750359i | ||||
\(598\) | −2.20187 | − | 12.4874i | −0.0900410 | − | 0.510648i | ||||
\(599\) | 5.42144 | + | 30.7465i | 0.221514 | + | 1.25627i | 0.869238 | + | 0.494393i | \(0.164610\pi\) |
−0.647725 | + | 0.761875i | \(0.724279\pi\) | |||||||
\(600\) | −0.500000 | + | 0.866025i | −0.0204124 | + | 0.0353553i | ||||
\(601\) | −9.16179 | − | 15.8687i | −0.373717 | − | 0.647297i | 0.616417 | − | 0.787420i | \(-0.288584\pi\) |
−0.990134 | + | 0.140123i | \(0.955250\pi\) | |||||||
\(602\) | 23.0744 | − | 19.3618i | 0.940444 | − | 0.789126i | ||||
\(603\) | −11.7417 | + | 4.27363i | −0.478159 | + | 0.174036i | ||||
\(604\) | 16.7554 | + | 6.09845i | 0.681766 | + | 0.248143i | ||||
\(605\) | 7.46451 | + | 6.26347i | 0.303475 | + | 0.254646i | ||||
\(606\) | −2.02094 | + | 11.4613i | −0.0820953 | + | 0.465585i | ||||
\(607\) | −19.0178 | −0.771911 | −0.385955 | − | 0.922517i | \(-0.626128\pi\) | ||||
−0.385955 | + | 0.922517i | \(0.626128\pi\) | |||||||
\(608\) | 1.52094 | − | 4.08494i | 0.0616824 | − | 0.165666i | ||||
\(609\) | −9.53983 | −0.386573 | ||||||||
\(610\) | 1.02481 | − | 5.81201i | 0.0414935 | − | 0.235322i | ||||
\(611\) | −16.7554 | − | 14.0594i | −0.677850 | − | 0.568783i | ||||
\(612\) | 3.97178 | + | 1.44561i | 0.160550 | + | 0.0584353i | ||||
\(613\) | −28.6104 | + | 10.4133i | −1.15556 | + | 0.420591i | −0.847511 | − | 0.530779i | \(-0.821900\pi\) |
−0.308053 | + | 0.951369i | \(0.599677\pi\) | |||||||
\(614\) | −2.30999 | + | 1.93831i | −0.0932237 | + | 0.0782240i | ||||
\(615\) | −3.26604 | − | 5.65695i | −0.131700 | − | 0.228110i | ||||
\(616\) | 1.48633 | − | 2.57440i | 0.0598859 | − | 0.103725i | ||||
\(617\) | 8.22147 | + | 46.6263i | 0.330984 | + | 1.87710i | 0.463767 | + | 0.885957i | \(0.346498\pi\) |
−0.132783 | + | 0.991145i | \(0.542391\pi\) | |||||||
\(618\) | −1.36097 | − | 7.71843i | −0.0547461 | − | 0.310481i | ||||
\(619\) | −9.30066 | + | 16.1092i | −0.373825 | + | 0.647484i | −0.990150 | − | 0.140008i | \(-0.955287\pi\) |
0.616325 | + | 0.787492i | \(0.288621\pi\) | |||||||
\(620\) | 1.35117 | + | 2.34029i | 0.0542642 | + | 0.0939883i | ||||
\(621\) | −2.84730 | + | 2.38917i | −0.114258 | + | 0.0958739i | ||||
\(622\) | 17.5077 | − | 6.37230i | 0.701996 | − | 0.255506i | ||||
\(623\) | −29.4158 | − | 10.7065i | −1.17852 | − | 0.428946i | ||||
\(624\) | 2.61334 | + | 2.19285i | 0.104617 | + | 0.0877844i | ||||
\(625\) | 0.173648 | − | 0.984808i | 0.00694593 | − | 0.0393923i | ||||
\(626\) | 6.94625 | 0.277628 | ||||||||
\(627\) | −3.16725 | + | 3.71864i | −0.126488 | + | 0.148508i | ||||
\(628\) | 10.0469 | 0.400917 | ||||||||
\(629\) | 5.38191 | − | 30.5223i | 0.214591 | − | 1.21701i | ||||
\(630\) | 2.03209 | + | 1.70513i | 0.0809604 | + | 0.0679338i | ||||
\(631\) | 19.6660 | + | 7.15783i | 0.782890 | + | 0.284949i | 0.702377 | − | 0.711805i | \(-0.252122\pi\) |
0.0805126 | + | 0.996754i | \(0.474344\pi\) | |||||||
\(632\) | 5.81180 | − | 2.11532i | 0.231181 | − | 0.0841431i | ||||
\(633\) | 1.86959 | − | 1.56877i | 0.0743093 | − | 0.0623529i | ||||
\(634\) | −1.10472 | − | 1.91344i | −0.0438741 | − | 0.0759922i | ||||
\(635\) | 5.89440 | − | 10.2094i | 0.233912 | − | 0.405148i | ||||
\(636\) | 0.311804 | + | 1.76833i | 0.0123638 | + | 0.0701188i | ||||
\(637\) | 0.0218219 | + | 0.123758i | 0.000864614 | + | 0.00490347i | ||||
\(638\) | −2.01501 | + | 3.49011i | −0.0797752 | + | 0.138175i | ||||
\(639\) | −4.73055 | − | 8.19356i | −0.187138 | − | 0.324132i | ||||
\(640\) | −0.766044 | + | 0.642788i | −0.0302806 | + | 0.0254084i | ||||
\(641\) | 1.42855 | − | 0.519949i | 0.0564243 | − | 0.0205368i | −0.313654 | − | 0.949537i | \(-0.601553\pi\) |
0.370078 | + | 0.929001i | \(0.379331\pi\) | |||||||
\(642\) | −14.8550 | − | 5.40679i | −0.586282 | − | 0.213389i | ||||
\(643\) | 20.4743 | + | 17.1800i | 0.807428 | + | 0.677512i | 0.949992 | − | 0.312273i | \(-0.101090\pi\) |
−0.142565 | + | 0.989786i | \(0.545535\pi\) | |||||||
\(644\) | 1.71213 | − | 9.70999i | 0.0674675 | − | 0.382627i | ||||
\(645\) | 11.3550 | 0.447104 | ||||||||
\(646\) | 18.1668 | − | 3.06558i | 0.714765 | − | 0.120614i | ||||
\(647\) | −30.3509 | −1.19322 | −0.596609 | − | 0.802532i | \(-0.703486\pi\) | ||||
−0.596609 | + | 0.802532i | \(0.703486\pi\) | |||||||
\(648\) | 0.173648 | − | 0.984808i | 0.00682154 | − | 0.0386869i | ||||
\(649\) | −0.158633 | − | 0.133109i | −0.00622691 | − | 0.00522500i | ||||
\(650\) | −3.20574 | − | 1.16679i | −0.125739 | − | 0.0457654i | ||||
\(651\) | 6.73618 | − | 2.45177i | 0.264012 | − | 0.0960924i | ||||
\(652\) | −0.543233 | + | 0.455827i | −0.0212747 | + | 0.0178516i | ||||
\(653\) | −25.1780 | − | 43.6095i | −0.985291 | − | 1.70657i | −0.640637 | − | 0.767843i | \(-0.721330\pi\) |
−0.344653 | − | 0.938730i | \(-0.612003\pi\) | |||||||
\(654\) | −3.08125 | + | 5.33688i | −0.120486 | + | 0.208689i | ||||
\(655\) | 3.15570 | + | 17.8968i | 0.123303 | + | 0.699288i | ||||
\(656\) | −1.13429 | − | 6.43285i | −0.0442864 | − | 0.251161i | ||||
\(657\) | 3.32888 | − | 5.76579i | 0.129872 | − | 0.224945i | ||||
\(658\) | −8.50387 | − | 14.7291i | −0.331515 | − | 0.574201i | ||||
\(659\) | −1.32707 | + | 1.11354i | −0.0516952 | + | 0.0433774i | −0.668269 | − | 0.743920i | \(-0.732965\pi\) |
0.616574 | + | 0.787297i | \(0.288520\pi\) | |||||||
\(660\) | 1.05303 | − | 0.383273i | 0.0409893 | − | 0.0149189i | ||||
\(661\) | −19.9338 | − | 7.25530i | −0.775334 | − | 0.282198i | −0.0761081 | − | 0.997100i | \(-0.524249\pi\) |
−0.699225 | + | 0.714901i | \(0.746472\pi\) | |||||||
\(662\) | −22.3216 | − | 18.7300i | −0.867554 | − | 0.727964i | ||||
\(663\) | −2.50387 | + | 14.2002i | −0.0972423 | + | 0.551488i | ||||
\(664\) | 10.7442 | 0.416957 | ||||||||
\(665\) | 11.3721 | + | 2.09165i | 0.440992 | + | 0.0811105i | ||||
\(666\) | −7.33275 | −0.284138 | ||||||||
\(667\) | −2.32114 | + | 13.1638i | −0.0898748 | + | 0.509705i | ||||
\(668\) | −3.13041 | − | 2.62673i | −0.121119 | − | 0.101631i | ||||
\(669\) | 23.1643 | + | 8.43112i | 0.895584 | + | 0.325966i | ||||
\(670\) | 11.7417 | − | 4.27363i | 0.453621 | − | 0.165105i | ||||
\(671\) | −5.06624 | + | 4.25108i | −0.195580 | + | 0.164111i | ||||
\(672\) | 1.32635 | + | 2.29731i | 0.0511651 | + | 0.0886206i | ||||
\(673\) | −13.3576 | + | 23.1360i | −0.514896 | + | 0.891826i | 0.484954 | + | 0.874539i | \(0.338836\pi\) |
−0.999851 | + | 0.0172870i | \(0.994497\pi\) | |||||||
\(674\) | 3.61587 | + | 20.5066i | 0.139278 | + | 0.789885i | ||||
\(675\) | 0.173648 | + | 0.984808i | 0.00668372 | + | 0.0379053i | ||||
\(676\) | 0.680922 | − | 1.17939i | 0.0261893 | − | 0.0453612i | ||||
\(677\) | 23.3956 | + | 40.5223i | 0.899165 | + | 1.55740i | 0.828563 | + | 0.559895i | \(0.189159\pi\) |
0.0706019 | + | 0.997505i | \(0.477508\pi\) | |||||||
\(678\) | −2.43376 | + | 2.04217i | −0.0934681 | + | 0.0784290i | ||||
\(679\) | 17.4491 | − | 6.35095i | 0.669634 | − | 0.243727i | ||||
\(680\) | −3.97178 | − | 1.44561i | −0.152311 | − | 0.0554366i | ||||
\(681\) | 8.88532 | + | 7.45566i | 0.340486 | + | 0.285702i | ||||
\(682\) | 0.525854 | − | 2.98227i | 0.0201360 | − | 0.114197i | ||||
\(683\) | −11.9195 | −0.456088 | −0.228044 | − | 0.973651i | \(-0.573233\pi\) | ||||
−0.228044 | + | 0.973651i | \(0.573233\pi\) | |||||||
\(684\) | −1.46064 | − | 4.10689i | −0.0558489 | − | 0.157031i | ||||
\(685\) | −13.6040 | −0.519782 | ||||||||
\(686\) | 3.20749 | − | 18.1906i | 0.122463 | − | 0.694520i | ||||
\(687\) | −11.5608 | − | 9.70064i | −0.441071 | − | 0.370103i | ||||
\(688\) | 10.6702 | + | 3.88365i | 0.406799 | + | 0.148063i | ||||
\(689\) | −5.75624 | + | 2.09510i | −0.219295 | + | 0.0798170i | ||||
\(690\) | 2.84730 | − | 2.38917i | 0.108395 | − | 0.0909540i | ||||
\(691\) | 6.84611 | + | 11.8578i | 0.260438 | + | 0.451093i | 0.966358 | − | 0.257199i | \(-0.0827996\pi\) |
−0.705920 | + | 0.708292i | \(0.749466\pi\) | |||||||
\(692\) | −6.03849 | + | 10.4590i | −0.229549 | + | 0.397590i | ||||
\(693\) | −0.516197 | − | 2.92750i | −0.0196087 | − | 0.111206i | ||||
\(694\) | 5.19965 | + | 29.4887i | 0.197376 | + | 1.11937i | ||||
\(695\) | −4.40895 | + | 7.63652i | −0.167241 | + | 0.289670i | ||||
\(696\) | −1.79813 | − | 3.11446i | −0.0681581 | − | 0.118053i | ||||
\(697\) | 21.1498 | − | 17.7468i | 0.801105 | − | 0.672207i | ||||
\(698\) | −20.7554 | + | 7.55434i | −0.785602 | + | 0.285936i | ||||
\(699\) | 25.7246 | + | 9.36300i | 0.972995 | + | 0.354141i | ||||
\(700\) | −2.03209 | − | 1.70513i | −0.0768057 | − | 0.0644477i | ||||
\(701\) | 4.66802 | − | 26.4737i | 0.176309 | − | 0.999897i | −0.760314 | − | 0.649556i | \(-0.774955\pi\) |
0.936622 | − | 0.350341i | \(-0.113934\pi\) | |||||||
\(702\) | 3.41147 | 0.128758 | ||||||||
\(703\) | −27.7974 | + | 15.7771i | −1.04840 | + | 0.595046i | ||||
\(704\) | 1.12061 | 0.0422348 | ||||||||
\(705\) | 1.11334 | − | 6.31407i | 0.0419308 | − | 0.237802i | ||||
\(706\) | 2.91353 | + | 2.44474i | 0.109652 | + | 0.0920092i | ||||
\(707\) | −29.0107 | − | 10.5590i | −1.09106 | − | 0.397114i | ||||
\(708\) | 0.173648 | − | 0.0632028i | 0.00652610 | − | 0.00237531i | ||||
\(709\) | −32.7695 | + | 27.4969i | −1.23068 | + | 1.03267i | −0.232490 | + | 0.972599i | \(0.574687\pi\) |
−0.998194 | + | 0.0600683i | \(0.980868\pi\) | |||||||
\(710\) | 4.73055 | + | 8.19356i | 0.177534 | + | 0.307499i | ||||
\(711\) | 3.09240 | − | 5.35619i | 0.115974 | − | 0.200873i | ||||
\(712\) | −2.04916 | − | 11.6214i | −0.0767956 | − | 0.435530i | ||||
\(713\) | −1.74417 | − | 9.89166i | −0.0653195 | − | 0.370446i | ||||
\(714\) | −5.60607 | + | 9.70999i | −0.209802 | + | 0.363387i | ||||
\(715\) | 1.91147 | + | 3.31077i | 0.0714851 | + | 0.123816i | ||||
\(716\) | −12.0838 | + | 10.1395i | −0.451592 | + | 0.378931i | ||||
\(717\) | 23.1386 | − | 8.42177i | 0.864128 | − | 0.314517i | ||||
\(718\) | 16.2023 | + | 5.89717i | 0.604666 | + | 0.220080i | ||||
\(719\) | −16.6518 | − | 13.9725i | −0.621008 | − | 0.521088i | 0.277112 | − | 0.960838i | \(-0.410623\pi\) |
−0.898120 | + | 0.439750i | \(0.855067\pi\) | |||||||
\(720\) | −0.173648 | + | 0.984808i | −0.00647149 | + | 0.0367016i | ||||
\(721\) | 20.7906 | 0.774281 | ||||||||
\(722\) | −14.3735 | − | 12.4259i | −0.534925 | − | 0.462445i | ||||
\(723\) | −23.3969 | −0.870141 | ||||||||
\(724\) | −0.131292 | + | 0.744596i | −0.00487944 | + | 0.0276727i | ||||
\(725\) | 2.75490 | + | 2.31164i | 0.102314 | + | 0.0858520i | ||||
\(726\) | 9.15657 | + | 3.33272i | 0.339832 | + | 0.123689i | ||||
\(727\) | 32.4342 | − | 11.8051i | 1.20292 | − | 0.437827i | 0.338677 | − | 0.940903i | \(-0.390021\pi\) |
0.864242 | + | 0.503076i | \(0.167798\pi\) | |||||||
\(728\) | −6.93242 | + | 5.81699i | −0.256933 | + | 0.215592i | ||||
\(729\) | −0.500000 | − | 0.866025i | −0.0185185 | − | 0.0320750i | ||||
\(730\) | −3.32888 | + | 5.76579i | −0.123207 | + | 0.213401i | ||||
\(731\) | 8.33409 | + | 47.2650i | 0.308248 | + | 1.74816i | ||||
\(732\) | −1.02481 | − | 5.81201i | −0.0378782 | − | 0.214818i | ||||
\(733\) | −17.7208 | + | 30.6932i | −0.654531 | + | 1.13368i | 0.327480 | + | 0.944858i | \(0.393801\pi\) |
−0.982011 | + | 0.188823i | \(0.939533\pi\) | |||||||
\(734\) | −17.0069 | − | 29.4568i | −0.627735 | − | 1.08727i | ||||
\(735\) | −0.0282185 | + | 0.0236781i | −0.00104085 | + | 0.000873381i | ||||
\(736\) | 3.49273 | − | 1.27125i | 0.128744 | − | 0.0468588i | ||||
\(737\) | −13.1579 | − | 4.78909i | −0.484678 | − | 0.176408i | ||||
\(738\) | −5.00387 | − | 4.19875i | −0.184195 | − | 0.154558i | ||||
\(739\) | −1.65595 | + | 9.39133i | −0.0609149 | + | 0.345466i | 0.939083 | + | 0.343689i | \(0.111677\pi\) |
−0.999998 | + | 0.00177662i | \(0.999434\pi\) | |||||||
\(740\) | 7.33275 | 0.269557 | ||||||||
\(741\) | 12.9324 | − | 7.34013i | 0.475084 | − | 0.269646i | ||||
\(742\) | −4.76321 | −0.174863 | ||||||||
\(743\) | −1.31449 | + | 7.45486i | −0.0482240 | + | 0.273492i | −0.999380 | − | 0.0352199i | \(-0.988787\pi\) |
0.951156 | + | 0.308712i | \(0.0998979\pi\) | |||||||
\(744\) | 2.07011 | + | 1.73703i | 0.0758938 | + | 0.0636825i | ||||
\(745\) | 3.84477 | + | 1.39938i | 0.140861 | + | 0.0512694i | ||||
\(746\) | −25.8542 | + | 9.41014i | −0.946588 | + | 0.344530i | ||||
\(747\) | 8.23055 | − | 6.90625i | 0.301140 | − | 0.252687i | ||||
\(748\) | 2.36824 | + | 4.10191i | 0.0865915 | + | 0.149981i | ||||
\(749\) | 20.9675 | − | 36.3168i | 0.766136 | − | 1.32699i | ||||
\(750\) | −0.173648 | − | 0.984808i | −0.00634073 | − | 0.0359601i | ||||
\(751\) | −1.90777 | − | 10.8195i | −0.0696154 | − | 0.394808i | −0.999628 | − | 0.0272804i | \(-0.991315\pi\) |
0.930012 | − | 0.367528i | \(-0.119796\pi\) | |||||||
\(752\) | 3.20574 | − | 5.55250i | 0.116901 | − | 0.202479i | ||||
\(753\) | −5.13429 | − | 8.89284i | −0.187104 | − | 0.324073i | ||||
\(754\) | 9.39827 | − | 7.88609i | 0.342265 | − | 0.287194i | ||||
\(755\) | −16.7554 | + | 6.09845i | −0.609790 | + | 0.221945i | ||||
\(756\) | 2.49273 | + | 0.907278i | 0.0906596 | + | 0.0329974i | ||||
\(757\) | 20.3516 | + | 17.0770i | 0.739693 | + | 0.620676i | 0.932755 | − | 0.360511i | \(-0.117398\pi\) |
−0.193062 | + | 0.981186i | \(0.561842\pi\) | |||||||
\(758\) | −3.61287 | + | 20.4896i | −0.131225 | + | 0.744217i | ||||
\(759\) | −4.16519 | −0.151187 | ||||||||
\(760\) | 1.46064 | + | 4.10689i | 0.0529829 | + | 0.148973i | ||||
\(761\) | 47.0823 | 1.70673 | 0.853367 | − | 0.521311i | \(-0.174557\pi\) | ||||
0.853367 | + | 0.521311i | \(0.174557\pi\) | |||||||
\(762\) | 2.04710 | − | 11.6097i | 0.0741587 | − | 0.420575i | ||||
\(763\) | −12.5228 | − | 10.5078i | −0.453354 | − | 0.380409i | ||||
\(764\) | −8.12449 | − | 2.95707i | −0.293934 | − | 0.106983i | ||||
\(765\) | −3.97178 | + | 1.44561i | −0.143600 | + | 0.0522661i | ||||
\(766\) | −22.3837 | + | 18.7822i | −0.808757 | + | 0.678628i | ||||
\(767\) | 0.315207 | + | 0.545955i | 0.0113815 | + | 0.0197133i | ||||
\(768\) | −0.500000 | + | 0.866025i | −0.0180422 | + | 0.0312500i | ||||
\(769\) | 7.79443 | + | 44.2044i | 0.281074 | + | 1.59405i | 0.718981 | + | 0.695030i | \(0.244609\pi\) |
−0.437906 | + | 0.899021i | \(0.644280\pi\) | |||||||
\(770\) | 0.516197 | + | 2.92750i | 0.0186024 | + | 0.105500i | ||||
\(771\) | 0.118089 | − | 0.204535i | 0.00425285 | − | 0.00736616i | ||||
\(772\) | −3.81180 | − | 6.60224i | −0.137190 | − | 0.237620i | ||||
\(773\) | 34.4846 | − | 28.9360i | 1.24032 | − | 1.04076i | 0.242825 | − | 0.970070i | \(-0.421926\pi\) |
0.997499 | − | 0.0706853i | \(-0.0225186\pi\) | |||||||
\(774\) | 10.6702 | − | 3.88365i | 0.383534 | − | 0.139595i | ||||
\(775\) | −2.53936 | − | 0.924252i | −0.0912166 | − | 0.0332001i | ||||
\(776\) | 5.36231 | + | 4.49951i | 0.192496 | + | 0.161523i | ||||
\(777\) | 3.37774 | − | 19.1561i | 0.121176 | − | 0.687221i | ||||
\(778\) | 27.7151 | 0.993635 | ||||||||
\(779\) | −28.0030 | − | 5.15052i | −1.00331 | − | 0.184537i | ||||
\(780\) | −3.41147 | −0.122150 | ||||||||
\(781\) | 1.84106 | − | 10.4412i | 0.0658784 | − | 0.373615i | ||||
\(782\) | 12.0346 | + | 10.0982i | 0.430357 | + | 0.361112i | ||||
\(783\) | −3.37939 | − | 1.23000i | −0.120769 | − | 0.0439565i | ||||
\(784\) | −0.0346151 | + | 0.0125989i | −0.00123625 | + | 0.000449960i | ||||
\(785\) | −7.69640 | + | 6.45805i | −0.274696 | + | 0.230498i | ||||
\(786\) | 9.08647 | + | 15.7382i | 0.324104 | + | 0.561364i | ||||
\(787\) | −11.1309 | + | 19.2793i | −0.396773 | + | 0.687231i | −0.993326 | − | 0.115343i | \(-0.963203\pi\) |
0.596553 | + | 0.802574i | \(0.296537\pi\) | |||||||
\(788\) | −1.05391 | − | 5.97702i | −0.0375440 | − | 0.212923i | ||||
\(789\) | 0.474003 | + | 2.68820i | 0.0168750 | + | 0.0957026i | ||||
\(790\) | −3.09240 | + | 5.35619i | −0.110023 | + | 0.190565i | ||||
\(791\) | −4.21389 | − | 7.29867i | −0.149829 | − | 0.259511i | ||||
\(792\) | 0.858441 | − | 0.720317i | 0.0305034 | − | 0.0255954i | ||||
\(793\) | 18.9192 | − | 6.88603i | 0.671841 | − | 0.244530i | ||||
\(794\) | 19.9033 | + | 7.24422i | 0.706342 | + | 0.257088i | ||||
\(795\) | −1.37551 | − | 1.15419i | −0.0487845 | − | 0.0409350i | ||||
\(796\) | −3.67617 | + | 20.8486i | −0.130299 | + | 0.738960i | ||||
\(797\) | 27.7300 | 0.982247 | 0.491123 | − | 0.871090i | \(-0.336586\pi\) | ||||
0.491123 | + | 0.871090i | \(0.336586\pi\) | |||||||
\(798\) | 11.4017 | − | 1.92399i | 0.403615 | − | 0.0681084i | ||||
\(799\) | 27.0993 | 0.958703 | ||||||||
\(800\) | 0.173648 | − | 0.984808i | 0.00613939 | − | 0.0348182i | ||||
\(801\) | −9.03983 | − | 7.58532i | −0.319407 | − | 0.268014i | ||||
\(802\) | 9.10519 | + | 3.31402i | 0.321515 | + | 0.117022i | ||||
\(803\) | 7.01084 | − | 2.55174i | 0.247407 | − | 0.0900488i | ||||
\(804\) | 9.57192 | − | 8.03179i | 0.337576 | − | 0.283260i | ||||
\(805\) | 4.92989 | + | 8.53882i | 0.173756 | + | 0.300954i | ||||
\(806\) | −4.60947 | + | 7.98384i | −0.162362 | + | 0.281219i | ||||
\(807\) | 1.20233 | + | 6.81877i | 0.0423241 | + | 0.240032i | ||||
\(808\) | −2.02094 | − | 11.4613i | −0.0710966 | − | 0.403209i | ||||
\(809\) | −16.0184 | + | 27.7447i | −0.563178 | + | 0.975452i | 0.434039 | + | 0.900894i | \(0.357088\pi\) |
−0.997217 | + | 0.0745582i | \(0.976245\pi\) | |||||||
\(810\) | 0.500000 | + | 0.866025i | 0.0175682 | + | 0.0304290i | ||||
\(811\) | −1.52094 | + | 1.27622i | −0.0534076 | + | 0.0448143i | −0.669101 | − | 0.743172i | \(-0.733321\pi\) |
0.615693 | + | 0.787986i | \(0.288876\pi\) | |||||||
\(812\) | 8.96451 | − | 3.26281i | 0.314593 | − | 0.114502i | ||||
\(813\) | 22.3799 | + | 8.14560i | 0.784896 | + | 0.285679i | ||||
\(814\) | −6.29473 | − | 5.28191i | −0.220630 | − | 0.185131i | ||||
\(815\) | 0.123141 | − | 0.698367i | 0.00431344 | − | 0.0244627i | ||||
\(816\) | −4.22668 | −0.147963 | ||||||||
\(817\) | 32.0933 | − | 37.6805i | 1.12280 | − | 1.31827i | ||||
\(818\) | 32.4816 | 1.13569 | ||||||||
\(819\) | −1.57145 | + | 8.91215i | −0.0549110 | + | 0.311416i | ||||
\(820\) | 5.00387 | + | 4.19875i | 0.174743 | + | 0.146627i | ||||
\(821\) | −23.0967 | − | 8.40652i | −0.806082 | − | 0.293390i | −0.0940773 | − | 0.995565i | \(-0.529990\pi\) |
−0.712004 | + | 0.702175i | \(0.752212\pi\) | |||||||
\(822\) | −12.7836 | + | 4.65284i | −0.445879 | + | 0.162287i | ||||
\(823\) | −13.1782 | + | 11.0579i | −0.459364 | + | 0.385452i | −0.842897 | − | 0.538075i | \(-0.819152\pi\) |
0.383533 | + | 0.923527i | \(0.374707\pi\) | |||||||
\(824\) | 3.91875 | + | 6.78747i | 0.136516 | + | 0.236453i | ||||
\(825\) | −0.560307 | + | 0.970481i | −0.0195074 | + | 0.0337878i | ||||
\(826\) | 0.0851223 | + | 0.482753i | 0.00296178 | + | 0.0167971i | ||||
\(827\) | 8.75386 | + | 49.6456i | 0.304402 | + | 1.72635i | 0.626308 | + | 0.779576i | \(0.284565\pi\) |
−0.321907 | + | 0.946771i | \(0.604324\pi\) | |||||||
\(828\) | 1.85844 | − | 3.21891i | 0.0645853 | − | 0.111865i | ||||
\(829\) | −7.97864 | − | 13.8194i | −0.277110 | − | 0.479968i | 0.693555 | − | 0.720403i | \(-0.256043\pi\) |
−0.970665 | + | 0.240435i | \(0.922710\pi\) | |||||||
\(830\) | −8.23055 | + | 6.90625i | −0.285687 | + | 0.239720i | ||||
\(831\) | 16.7995 | − | 6.11451i | 0.582767 | − | 0.212110i | ||||
\(832\) | −3.20574 | − | 1.16679i | −0.111139 | − | 0.0404513i | ||||
\(833\) | −0.119271 | − | 0.100080i | −0.00413248 | − | 0.00346756i | ||||
\(834\) | −1.53121 | + | 8.68393i | −0.0530215 | + | 0.300700i | ||||
\(835\) | 4.08647 | 0.141418 | ||||||||
\(836\) | 1.70439 | − | 4.57764i | 0.0589477 | − | 0.158321i | ||||
\(837\) | 2.70233 | 0.0934063 | ||||||||
\(838\) | −0.157918 | + | 0.895599i | −0.00545519 | + | 0.0309379i | ||||
\(839\) | 30.1875 | + | 25.3304i | 1.04219 | + | 0.874501i | 0.992251 | − | 0.124251i | \(-0.0396529\pi\) |
0.0499388 | + | 0.998752i | \(0.484097\pi\) | |||||||
\(840\) | −2.49273 | − | 0.907278i | −0.0860072 | − | 0.0313041i | ||||
\(841\) | 15.0979 | − | 5.49519i | 0.520618 | − | 0.189489i | ||||
\(842\) | 5.52481 | − | 4.63587i | 0.190398 | − | 0.159763i | ||||
\(843\) | −2.39440 | − | 4.14722i | −0.0824675 | − | 0.142838i | ||||
\(844\) | −1.22028 | + | 2.11360i | −0.0420039 | + | 0.0727530i | ||||
\(845\) | 0.236482 | + | 1.34115i | 0.00813522 | + | 0.0461371i | ||||
\(846\) | −1.11334 | − | 6.31407i | −0.0382774 | − | 0.217082i | ||||
\(847\) | −12.9243 | + | 22.3855i | −0.444083 | + | 0.769174i | ||||
\(848\) | −0.897804 | − | 1.55504i | −0.0308307 | − | 0.0534003i | ||||
\(849\) | −9.22849 | + | 7.74362i | −0.316721 | + | 0.265761i | ||||
\(850\) | 3.97178 | − | 1.44561i | 0.136231 | − | 0.0495840i | ||||
\(851\) | −25.6113 | − | 9.32174i | −0.877943 | − | 0.319545i | ||||
\(852\) | 7.24763 | + | 6.08148i | 0.248300 | + | 0.208348i | ||||
\(853\) | 5.85844 | − | 33.2249i | 0.200589 | − | 1.13760i | −0.703642 | − | 0.710555i | \(-0.748444\pi\) |
0.904231 | − | 0.427043i | \(-0.140445\pi\) | |||||||
\(854\) | 15.6554 | 0.535716 | ||||||||
\(855\) | 3.75877 | + | 2.20718i | 0.128547 | + | 0.0754840i | ||||
\(856\) | 15.8084 | 0.540320 | ||||||||
\(857\) | 5.81331 | − | 32.9689i | 0.198579 | − | 1.12620i | −0.708650 | − | 0.705560i | \(-0.750696\pi\) |
0.907229 | − | 0.420637i | \(-0.138193\pi\) | |||||||
\(858\) | 2.92855 | + | 2.45734i | 0.0999790 | + | 0.0838923i | ||||
\(859\) | 45.7340 | + | 16.6458i | 1.56042 | + | 0.567948i | 0.970834 | − | 0.239754i | \(-0.0770668\pi\) |
0.589591 | + | 0.807702i | \(0.299289\pi\) | |||||||
\(860\) | −10.6702 | + | 3.88365i | −0.363852 | + | 0.132431i | ||||
\(861\) | 13.2738 | − | 11.1380i | 0.452369 | − | 0.379583i | ||||
\(862\) | 3.53209 | + | 6.11776i | 0.120303 | + | 0.208372i | ||||
\(863\) | 22.4415 | − | 38.8698i | 0.763918 | − | 1.32314i | −0.176899 | − | 0.984229i | \(-0.556607\pi\) |
0.940817 | − | 0.338915i | \(-0.110060\pi\) | |||||||
\(864\) | 0.173648 | + | 0.984808i | 0.00590763 | + | 0.0335038i | ||||
\(865\) | −2.09714 | − | 11.8935i | −0.0713050 | − | 0.404391i | ||||
\(866\) | 8.21095 | − | 14.2218i | 0.279019 | − | 0.483276i | ||||
\(867\) | −0.432419 | − | 0.748971i | −0.0146857 | − | 0.0254364i | ||||
\(868\) | −5.49138 | + | 4.60782i | −0.186390 | + | 0.156399i | ||||
\(869\) | 6.51279 | − | 2.37046i | 0.220931 | − | 0.0804124i | ||||
\(870\) | 3.37939 | + | 1.23000i | 0.114572 | + | 0.0417008i | ||||
\(871\) | 32.6544 | + | 27.4003i | 1.10645 | + | 0.928422i | ||||
\(872\) | 1.07011 | − | 6.06888i | 0.0362384 | − | 0.205518i | ||||
\(873\) | 7.00000 | 0.236914 | ||||||||
\(874\) | 0.119271 | − | 16.2011i | 0.00403439 | − | 0.548009i | ||||
\(875\) | 2.65270 | 0.0896778 | ||||||||
\(876\) | −1.15611 | + | 6.55661i | −0.0390612 | + | 0.221527i | ||||
\(877\) | −32.8849 | − | 27.5937i | −1.11044 | − | 0.931773i | −0.112362 | − | 0.993667i | \(-0.535841\pi\) |
−0.998083 | + | 0.0618940i | \(0.980286\pi\) | |||||||
\(878\) | −27.8983 | − | 10.1541i | −0.941521 | − | 0.342686i | ||||
\(879\) | 22.0278 | − | 8.01747i | 0.742980 | − | 0.270422i | ||||
\(880\) | −0.858441 | + | 0.720317i | −0.0289380 | + | 0.0242819i | ||||
\(881\) | −26.3452 | − | 45.6313i | −0.887594 | − | 1.53736i | −0.842712 | − | 0.538365i | \(-0.819042\pi\) |
−0.0448817 | − | 0.998992i | \(-0.514291\pi\) | |||||||
\(882\) | −0.0184183 | + | 0.0319015i | −0.000620177 | + | 0.00107418i | ||||
\(883\) | 3.64677 | + | 20.6819i | 0.122724 | + | 0.696001i | 0.982634 | + | 0.185555i | \(0.0594084\pi\) |
−0.859910 | + | 0.510445i | \(0.829481\pi\) | |||||||
\(884\) | −2.50387 | − | 14.2002i | −0.0842143 | − | 0.477603i | ||||
\(885\) | −0.0923963 | + | 0.160035i | −0.00310587 | + | 0.00537952i | ||||
\(886\) | 4.69253 | + | 8.12771i | 0.157649 | + | 0.273056i | ||||
\(887\) | 42.9452 | − | 36.0353i | 1.44196 | − | 1.20995i | 0.503764 | − | 0.863842i | \(-0.331948\pi\) |
0.938195 | − | 0.346106i | \(-0.112496\pi\) | |||||||
\(888\) | 6.89053 | − | 2.50795i | 0.231231 | − | 0.0841612i | ||||
\(889\) | 29.3862 | + | 10.6957i | 0.985583 | + | 0.358723i | ||||
\(890\) | 9.03983 | + | 7.58532i | 0.303016 | + | 0.254260i | ||||
\(891\) | 0.194593 | − | 1.10359i | 0.00651910 | − | 0.0369717i | ||||
\(892\) | −24.6509 | −0.825375 | ||||||||
\(893\) | −17.8059 | − | 21.5403i | −0.595851 | − | 0.720818i | ||||
\(894\) | 4.09152 | 0.136841 | ||||||||
\(895\) | 2.73917 | − | 15.5346i | 0.0915604 | − | 0.519265i | ||||
\(896\) | −2.03209 | − | 1.70513i | −0.0678873 | − | 0.0569642i | ||||
\(897\) | 11.9153 | + | 4.33683i | 0.397842 | + | 0.144803i | ||||
\(898\) | 21.3195 | − | 7.75968i | 0.711442 | − | 0.258944i | ||||
\(899\) | 7.44466 | − | 6.24681i | 0.248293 | − | 0.208343i | ||||
\(900\) | −0.500000 | − | 0.866025i | −0.0166667 | − | 0.0288675i | ||||
\(901\) | 3.79473 | − | 6.57266i | 0.126421 | − | 0.218967i | ||||
\(902\) | −1.27110 | − | 7.20875i | −0.0423229 | − | 0.240025i | ||||
\(903\) | 5.23055 | + | 29.6639i | 0.174062 | + | 0.987154i | ||||
\(904\) | 1.58853 | − | 2.75141i | 0.0528336 | − | 0.0915105i | ||||
\(905\) | −0.378041 | − | 0.654786i | −0.0125665 | − | 0.0217658i | ||||
\(906\) | −13.6591 | + | 11.4613i | −0.453793 | + | 0.380778i | ||||
\(907\) | −17.4659 | + | 6.35705i | −0.579944 | + | 0.211082i | −0.615301 | − | 0.788292i | \(-0.710965\pi\) |
0.0353568 | + | 0.999375i | \(0.488743\pi\) | |||||||
\(908\) | −10.8995 | − | 3.96708i | −0.361711 | − | 0.131652i | ||||
\(909\) | −8.91534 | − | 7.48086i | −0.295703 | − | 0.248125i | ||||
\(910\) | 1.57145 | − | 8.91215i | 0.0520931 | − | 0.295435i | ||||
\(911\) | −21.5348 | −0.713479 | −0.356740 | − | 0.934204i | \(-0.616112\pi\) | ||||
−0.356740 | + | 0.934204i | \(0.616112\pi\) | |||||||
\(912\) | 2.77719 | + | 3.35965i | 0.0919619 | + | 0.111249i | ||||
\(913\) | 12.0401 | 0.398470 | ||||||||
\(914\) | −3.22028 | + | 18.2631i | −0.106518 | + | 0.604091i | ||||
\(915\) | 4.52094 | + | 3.79352i | 0.149458 | + | 0.125410i | ||||
\(916\) | 14.1814 | + | 5.16160i | 0.468566 | + | 0.170544i | ||||
\(917\) | −45.3001 | + | 16.4879i | −1.49594 | + | 0.544479i | ||||
\(918\) | −3.23783 | + | 2.71686i | −0.106864 | + | 0.0896697i | ||||
\(919\) | 1.97906 | + | 3.42782i | 0.0652830 | + | 0.113074i | 0.896819 | − | 0.442397i | \(-0.145872\pi\) |
−0.831536 | + | 0.555470i | \(0.812538\pi\) | |||||||
\(920\) | −1.85844 | + | 3.21891i | −0.0612710 | + | 0.106124i | ||||
\(921\) | −0.523633 | − | 2.96967i | −0.0172543 | − | 0.0978539i | ||||
\(922\) | 0.986634 | + | 5.59548i | 0.0324931 | + | 0.184277i | ||||
\(923\) | −16.1382 | + | 27.9521i | −0.531194 | + | 0.920055i | ||||
\(924\) | 1.48633 | + | 2.57440i | 0.0488966 | + | 0.0846915i | ||||
\(925\) | −5.61721 | + | 4.71340i | −0.184693 | + | 0.154976i | ||||
\(926\) | 36.2999 | − | 13.2121i | 1.19289 | − | 0.434177i | ||||
\(927\) | 7.36484 | + | 2.68058i | 0.241893 | + | 0.0880418i | ||||
\(928\) | 2.75490 | + | 2.31164i | 0.0904340 | + | 0.0758832i | ||||
\(929\) | 8.48704 | − | 48.1324i | 0.278451 | − | 1.57917i | −0.449331 | − | 0.893365i | \(-0.648338\pi\) |
0.727782 | − | 0.685808i | \(-0.240551\pi\) | |||||||
\(930\) | −2.70233 | −0.0886130 | ||||||||
\(931\) | −0.00118205 | + | 0.160563i | −3.87400e−5 | + | 0.00526223i | ||||
\(932\) | −27.3756 | −0.896717 | ||||||||
\(933\) | −3.23530 | + | 18.3483i | −0.105919 | + | 0.600696i | ||||
\(934\) | 5.51186 | + | 4.62500i | 0.180354 | + | 0.151335i | ||||
\(935\) | −4.45084 | − | 1.61997i | −0.145558 | − | 0.0529788i | ||||
\(936\) | −3.20574 | + | 1.16679i | −0.104783 | + | 0.0381378i | ||||
\(937\) | 38.3207 | − | 32.1549i | 1.25188 | − | 1.05046i | 0.255386 | − | 0.966839i | \(-0.417798\pi\) |
0.996498 | − | 0.0836157i | \(-0.0266468\pi\) | |||||||
\(938\) | 16.5731 | + | 28.7055i | 0.541131 | + | 0.937266i | ||||
\(939\) | −3.47313 | + | 6.01563i | −0.113341 | + | 0.196313i | ||||
\(940\) | 1.11334 | + | 6.31407i | 0.0363132 | + | 0.205942i | ||||
\(941\) | 1.24288 | + | 7.04871i | 0.0405167 | + | 0.229781i | 0.998341 | − | 0.0575717i | \(-0.0183358\pi\) |
−0.957825 | + | 0.287353i | \(0.907225\pi\) | |||||||
\(942\) | −5.02347 | + | 8.70091i | −0.163674 | + | 0.283491i | ||||
\(943\) | −12.1395 | − | 21.0262i | −0.395317 | − | 0.684708i | ||||
\(944\) | −0.141559 | + | 0.118782i | −0.00460736 | + | 0.00386604i | ||||
\(945\) | −2.49273 | + | 0.907278i | −0.0810884 | + | 0.0295138i | ||||
\(946\) | 11.9572 | + | 4.35208i | 0.388763 | + | 0.141498i | ||||
\(947\) | 27.5284 | + | 23.0991i | 0.894554 | + | 0.750620i | 0.969118 | − | 0.246596i | \(-0.0793122\pi\) |
−0.0745643 | + | 0.997216i | \(0.523757\pi\) | |||||||
\(948\) | −1.07398 | + | 6.09083i | −0.0348812 | + | 0.197821i | ||||
\(949\) | −22.7128 | −0.737287 | ||||||||
\(950\) | −3.75877 | − | 2.20718i | −0.121951 | − | 0.0716104i | ||||
\(951\) | 2.20945 | 0.0716462 | ||||||||
\(952\) | 1.94697 | − | 11.0418i | 0.0631015 | − | 0.357867i | ||||
\(953\) | −28.2258 | − | 23.6843i | −0.914323 | − | 0.767208i | 0.0586131 | − | 0.998281i | \(-0.481332\pi\) |
−0.972937 | + | 0.231072i | \(0.925777\pi\) | |||||||
\(954\) | −1.68732 | − | 0.614134i | −0.0546290 | − | 0.0198833i | ||||
\(955\) | 8.12449 | − | 2.95707i | 0.262902 | − | 0.0956886i | ||||
\(956\) | −18.8628 | + | 15.8278i | −0.610066 | + | 0.511906i | ||||
\(957\) | −2.01501 | − | 3.49011i | −0.0651362 | − | 0.112819i | ||||
\(958\) | −4.10994 | + | 7.11862i | −0.132786 | + | 0.229992i | ||||
\(959\) | −6.26651 | − | 35.5392i | −0.202356 | − | 1.14762i | ||||
\(960\) | −0.173648 | − | 0.984808i | −0.00560447 | − | 0.0317845i | ||||
\(961\) | 11.8487 | − | 20.5225i | 0.382216 | − | 0.662018i | ||||
\(962\) | 12.5077 | + | 21.6640i | 0.403266 | + | 0.698477i | ||||
\(963\) | 12.1099 | − | 10.1614i | 0.390237 | − | 0.327448i | ||||
\(964\) | 21.9859 | − | 8.00222i | 0.708119 | − | 0.257734i | ||||
\(965\) | 7.16385 | + | 2.60743i | 0.230612 | + | 0.0839361i | ||||
\(966\) | 7.55303 | + | 6.33775i | 0.243015 | + | 0.203914i | ||||
\(967\) | −7.50933 | + | 42.5875i | −0.241484 | + | 1.36952i | 0.587035 | + | 0.809562i | \(0.300295\pi\) |
−0.828519 | + | 0.559961i | \(0.810816\pi\) | |||||||
\(968\) | −9.74422 | −0.313191 | ||||||||
\(969\) | −6.42855 | + | 17.2657i | −0.206515 | + | 0.554655i | ||||
\(970\) | −7.00000 | −0.224756 | ||||||||
\(971\) | 1.25995 | − | 7.14555i | 0.0404338 | − | 0.229311i | −0.957894 | − | 0.287123i | \(-0.907301\pi\) |
0.998328 | + | 0.0578116i | \(0.0184123\pi\) | |||||||
\(972\) | 0.766044 | + | 0.642788i | 0.0245709 | + | 0.0206174i | ||||
\(973\) | −21.9806 | − | 8.00028i | −0.704666 | − | 0.256477i | ||||
\(974\) | −16.1604 | + | 5.88192i | −0.517814 | + | 0.188469i | ||||
\(975\) | 2.61334 | − | 2.19285i | 0.0836939 | − | 0.0702275i | ||||
\(976\) | 2.95084 | + | 5.11100i | 0.0944540 | + | 0.163599i | ||||
\(977\) | 13.4971 | − | 23.3776i | 0.431809 | − | 0.747916i | −0.565220 | − | 0.824940i | \(-0.691209\pi\) |
0.997029 | + | 0.0770246i | \(0.0245420\pi\) | |||||||
\(978\) | −0.123141 | − | 0.698367i | −0.00393761 | − | 0.0223313i | ||||
\(979\) | −2.29632 | − | 13.0231i | −0.0733908 | − | 0.416220i | ||||
\(980\) | 0.0184183 | − | 0.0319015i | 0.000588351 | − | 0.00101905i | ||||
\(981\) | −3.08125 | − | 5.33688i | −0.0983768 | − | 0.170394i | ||||
\(982\) | 18.2515 | − | 15.3148i | 0.582429 | − | 0.488716i | ||||
\(983\) | 28.8494 | − | 10.5003i | 0.920153 | − | 0.334908i | 0.161854 | − | 0.986815i | \(-0.448253\pi\) |
0.758300 | + | 0.651906i | \(0.226030\pi\) | |||||||
\(984\) | 6.13816 | + | 2.23411i | 0.195677 | + | 0.0712207i | ||||
\(985\) | 4.64930 | + | 3.90123i | 0.148139 | + | 0.124303i | ||||
\(986\) | −2.63950 | + | 14.9693i | −0.0840588 | + | 0.476721i | ||||
\(987\) | 17.0077 | 0.541362 | ||||||||
\(988\) | −9.64203 | + | 11.3206i | −0.306754 | + | 0.360157i | ||||
\(989\) | 42.2053 | 1.34205 | ||||||||
\(990\) | −0.194593 | + | 1.10359i | −0.00618456 | + | 0.0350744i | ||||
\(991\) | 25.6544 | + | 21.5266i | 0.814937 | + | 0.683814i | 0.951781 | − | 0.306779i | \(-0.0992513\pi\) |
−0.136843 | + | 0.990593i | \(0.543696\pi\) | |||||||
\(992\) | −2.53936 | − | 0.924252i | −0.0806249 | − | 0.0293450i | ||||
\(993\) | 27.3815 | − | 9.96605i | 0.868926 | − | 0.316263i | ||||
\(994\) | −19.2258 | + | 16.1324i | −0.609805 | + | 0.511688i | ||||
\(995\) | −10.5851 | − | 18.3340i | −0.335571 | − | 0.581226i | ||||
\(996\) | −5.37211 | + | 9.30477i | −0.170222 | + | 0.294833i | ||||
\(997\) | 2.41384 | + | 13.6896i | 0.0764470 | + | 0.433553i | 0.998877 | + | 0.0473872i | \(0.0150895\pi\) |
−0.922430 | + | 0.386165i | \(0.873799\pi\) | |||||||
\(998\) | 1.21507 | + | 6.89101i | 0.0384624 | + | 0.218131i | ||||
\(999\) | 3.66637 | − | 6.35035i | 0.115999 | − | 0.200916i |
(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 | 570.2.u.h.511.1 | ✓ | 6 | |
19.9 | even | 9 | inner | 570.2.u.h.541.1 | yes | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.u.h.511.1 | ✓ | 6 | 1.1 | even | 1 | trivial | |
570.2.u.h.541.1 | yes | 6 | 19.9 | even | 9 | inner |